n=1000000; c=[1,800,500,100,649,501,16,500,800,502,502,501,282,500,368,501,649,500,282,282,374,282,314,454,502,500,649,502,500,649,503,500,500,500,649,502,649,501,605,800,502,500,800,501,500,800,500,503,500,503,649,282,16,800,800,502,649,503,501,500,500,504,913,501,800,500,503,649,649,800,504,800,282,649,649,502,503,662,503,800,282,500,503,501,500,502,500,504,503,503,500,500,501,509,282,292,383,800,649,502,800,503,502,501,500,69,500,501,649,800,282,501,800,532,501,502,649,500,501,503,503,649,502,617,282,282,500,500,254,501,508,282,649,800,500,504,503,649,501,102,282,649,649,501,502,501,649,501,649,282,649,502,503,649,501,503,501,800,502,502,502,6,107,501,649,502,883,503,502,501,500,16,502,503,649,649,501,500,503,282,502,501,503,16,501,501,500,503,502,800,879,500,649,502,800,354,500,501,501,504,101,501,800,501,503,16,503,501,649,649,501,503,649,21,502,503,107,800,47,800,800,503,502,501,503,500,800,800,800,500,108,501,509,502,800,500,800,504,501,501,500,82,502,652,501,649,282,800,800,649,649,800,503,503,649,500,500,928,696,501,649,800,649,502,502,502,502,649,502,649,501,800,501,282,501,649,282,649,502,500,800,799,502,500,500,282,649,503,501,503,282,500,503,502,503,503,800,800,503,503,649,800,502,615,282,129,649,649,502,502,649,759,503,500,705,282,500,800,503,501,500,503,501,502,500,501,504,503,800,500,800,800,800,800,282,501,501,502,502,503,503,51,649,501,108,800,500,501,503,502,282,503,502,71,103,800,107,502,800,649,16,285,500,501,503,503,282,800,282,503,502,503,16,503,649,649,501,298,502,800,500,500,649,504,503,649,503,800,800,800,800,649,503,503,282,501,237,500,503,501,407,649,500,501,503,649,503,328,282,501,500,502,503,800,503,502,502,503,502,16,120,820,501,800,502,108,503,649,800,649,936,500,503,282,649,709,501,500,833,649,500,800,501,431,501,502,500,503,649,503,659,501,502,702,282,282,500,103,500,500,501,500,502,500,800,107,500,500,800,500,500,853,502,503,216,649,502,16,502,502,282,649,282,128,649,107,282,800,800,649,282,282,503,800,800,501,502,800,282,500,501,282,502,260,503,502,503,649,246,649,500,500,503,503,573,502,502,800,649,16,503,501,649,500,649,467,103,501,502,433,846,138,504,502,16,501,800,649,282,502,649,503,282,501,500,500,501,500,800,513,649,575,657,503,502,800,282,503,501,504,804,649,501,501,649,503,103,649,800,504,550,502,649,706,500,500,649,502,649,500,503,503,491,800,795,996,800,500,503,503,16,502,500,649,649,500,830,649,925,291,100,503,503,503,800,501,502,503,649,501,501,500,649,649,500,800,282,502,325,500,282,501,649,282,503,908,649,929,501,649,501,649,501,502,282,504,649,500,503,500,500,649,834,649,501,502,800,502,649,800,503,502,501,649,503,500,649,16,500,649,501,500,800,649,503,504,16,502,501,503,649,282,649,502,500,500,502,800,503,500,502,501,502,800,502,502,501,282,500,800,649,649,501,503,503,502,649,800,500,501,502,649,503,223,504,502,502,649,800,625,501,964,500,649,502,649,514,649,505,800,656,16,502,649,502,800,649,503,500,502,502,502,502,16,502,103,503,500,649,649,503,649,503,649,282,504,649,502,501,502,502,649,800,649,501,502,623,282,501,282,503,800,649,501,942,501,16,502,282,501,589,649,503,501,800,501,16,16,502,649,501,102,502,503,649,500,800,259,282,649,503,800,503,649,503,16,800,800,16,649,800,502,501,503,502,649,800,506,500,649,502,800,500,501,503,501,500,501,887,282,503,800,502,800,502,800,503,12,649,501,800,501,501,502,649,800,800,500,649,502,649,501,16,502,503,502,800,500,282,501,468,503,800,502,503,503,500,282,500,800,502,800,501,282,800,800,502,503,502,581,119,500,649,500,189,500,501,501,487,503,649,649,16,502,500,501,282,649,800,503,500,502,502,500,503,649,800,502,282,503,282,500,16,800,800,501,209,500,27,282,500,649,502,503,800,500,649,504,501,501,501,362,502,546,500,502,103,282,800,500,500,500,920,502,649,502,500,282,501,500,250,503,649,501,500,282,503,503,800,500,501,967,502,500,503,503,282,503,503,500,16,271,503,502,503,649,282,800,800,649,502,501,800,649,800,408,917,500,800,502,381,282,503,800,501,649,282,501,990,800,500,800,103,278,503,501,649,103,500,282,503,500,800,640,501,649,501,16,282,282,501,800,745,502,501,649,503,501,693,503,969,500,35,282,503,500,503,800,502,500,705,649,502,502,282,502,800,109,282,500,505,502,500,500,649,800,500,501,800,649,800,649,649,500,501,800,649,502,500,501,649,800,503,502,501,282,503,800,16,649,501,501,503,501,649,501,503,121,501,649,16,503,501,500,503,973,502,501,501,649,502,501,503,949,649,800,503,649,649,649,504,500,800,649,488,501,503,501,500,500,500,885,503,500,197,800,504,503,649,501,2,501,502,503,501,502,503,16,800,649,503,504,503,543,500,503,16,502,503,503,649,500,501,503,501,800,800,282,800,529,501,503,800,500,649,964,306,649,503,502,502,501,504,578,503,502,503,500,800,500,501,282,503,501,502,502,501,715,502,282,502,502,800,504,502,501,649,16,800,503,504,500,501,800,800,649,800,500,502,501,502,502,167,500,502,989,500,503,500,501,483,502,501,800,502,501,800,501,837,501,501,500,500,800,503,800,501,800,502,503,502,503,649,500,503,500,502,504,503,503,503,503,503,649,800,500,503,500,63,502,502,445,503,501,500,800,800,800,503,501,649,501,649,649,500,454,501,502,282,16,800,500,503,649,649,502,502,501,649,501,501,282,800,503,502,503,649,800,16,501,884,500,282,504,501,500,881,502,649,501,502,698,649,213,503,282,123,800,503,16,649,501,501,649,500,282,502,503,500,309,800,649,501,282,501,800,800,800,282,183,502,669,501,522,649,503,649,800,282,500,503,503,502,500,800,503,501,502,501,501,504,502,503,282,282,501,800,503,800,800,327,503,270,502,502,500,800,649,503,503,800,502,500,838,500,800,502,502,502,501,973,501,503,800,501,800,502,503,282,468,800,501,800,502,502,501,509,649,826,503,501,501,800,551,503,502,15,236,950,531,144,500,16,502,502,107,502,649,649,503,503,502,501,282,502,501,649,588,502,503,500,502,800,502,649,649,842,502,800,800,800,649,500,502,800,16,646,800,501,649,16,385,282,503,282,800,503,502,649,500,501,229,503,649,649,502,500,503,581,800,500,500,503,16,800,649,649,649,503,502,503,649,502,502,820,24,503,503,800,502,501,500,500,649,282,503,502,502,501,800,501,800,919,501,500,500,16,502,580,501,503,501,503,501,503,790,502,502,332,501,649,500,398,500,649,800,800,153,501,649,16,504,800,503,503,502,501,424,800,503,649,501,502,545,649,282,800,503,800,500,501,502,502,503,503,800,649,500,649,649,649,517,504,800,503,649,819,649,667,503,649,51,502,48,898,520,16,103,282,16,649,800,649,502,800,282,206,814,282,500,282,500,718,502,500,501,500,501,500,649,800,501,500,503,649,800,282,705,500,503,501,753,253,500,800,282,500,502,282,17,501,800,692,16,800,501,503,500,649,500,649,800,501,503,484,800,502,649,501,503,500,502,800,500,504,282,503,800,649,502,107,66,800,500,720,800,503,502,636,503,501,649,503,503,503,503,114,388,125,649,800,282,649,649,588,800,504,503,649,16,503,500,620,502,501,107,649,851,800,16,616,649,437,800,502,649,228,649,800,500,649,502,100,503,502,503,649,282,16,282,800,176,649,501,800,16,649,500,500,800,500,244,502,502,501,649,500,860,800,282,503,500,800,503,502,649,800,892,500,800,935,16,503,500,282,502,649,503,16,501,502,828,500,745,738,282,501,800,503,649,107,649,979,649,502,800,500,282,98,501,502,501,282,649,501,500,259,502,649,282,340,500,500,503,504,500,649,649,262,649,502,504,110,800,649,503,649,501,649,502,503,503,649,800,550,205,649,649,503,257,502,502,416,812,502,503,501,501,649,501,500,502,282,307,800,502,502,500,649,500,503,282,502,502,800,501,793,282,800,503,321,649,800,800,649,16,850,503,503,503,502,501,503,284,501,502,501,282,800,502,31,649,501,987,649,282,501,649,282,16,501,800,502,282,500,649,500,501,502,501,192,503,16,503,649,500,649,649,510,649,500,501,502,282,107,500,503,501,649,705,500,571,502,800,502,503,501,501,502,800,501,463,282,503,500,501,800,649,800,800,800,502,501,800,282,282,566,934,96,501,500,705,282,503,503,501,502,649,192,649,971,503,282,500,16,502,16,502,502,500,500,803,500,107,800,649,629,506,282,649,503,500,718,800,503,282,500,800,649,800,649,502,649,800,47,503,282,282,500,501,969,503,649,503,282,604,501,503,500,500,503,109,649,55,649,721,649,107,500,282,503,455,503,649,705,726,503,800,502,800,503,501,501,800,501,501,501,847,503,107,800,502,502,16,502,394,649,472,826,800,503,649,502,501,500,501,649,649,800,98,800,649,649,501,649,282,502,500,901,16,501,27,649,649,282,649,502,502,800,503,501,381,503,800,500,282,502,501,282,649,502,503,100,504,503,282,500,503,501,502,501,503,16,503,649,649,649,500,501,282,503,798,17,800,649,501,500,501,144,504,649,501,502,501,282,503,501,271,501,800,500,500,16,800,53,434,500,503,502,649,501,750,649,800,500,282,503,649,800,503,800,501,501,502,649,500,800,16,400,503,501,800,504,500,502,800,500,502,502,502,800,503,282,800,282,705,501,107,800,800,503,649,649,503,649,462,502,500,352,502,649,800,503,282,502,500,800,649,503,649,502,612,501,500,282,282,649,503,500,503,501,649,60,500,502,503,500,501,501,502,500,500,500,16,503,504,800,16,31,501,649,358,16,16,503,727,649,501,502,502,649,501,500,800,800,501,649,500,951,707,282,502,503,501,503,16,163,282,502,500,501,503,501,407,500,649,16,310,503,649,16,502,871,16,501,800,800,502,502,145,503,501,261,800,502,878,500,649,800,649,501,282,800,282,501,728,282,800,800,500,649,800,504,852,500,501,895,503,282,502,800,503,501,323,800,501,502,961,282,503,501,649,501,282,501,501,800,500,741,500,282,16,282,649,649,504,500,16,500,107,800,800,500,123,500,503,889,649,586,500,282,501,500,649,649,800,501,502,64,500,501,302,649,502,500,502,282,16,503,500,598,649,502,503,800,282,504,503,282,800,500,282,503,649,501,501,502,502,675,282,501,473,500,500,649,649,502,502,501,800,282,501,503,649,16,503,282,800,501,649,800,385,282,500,503,799,502,16,500,500,500,501,800,16,800,502,282,649,649,649,649,503,649,800,800,649,501,503,502,503,678,503,760,502,800,800,649,500,500,547,375,500,282,502,500,607,282,500,501,503,16,107,502,502,800,500,503,500,649,365,800,649,500,502,502,503,16,500,591,649,501,502,649,800,881,501,501,502,502,501,649,649,502,503,500,282,415,282,500,800,501,503,861,236,502,92,540,282,500,282,501,800,16,800,649,142,282,649,500,504,503,649,800,503,502,100,500,500,500,29,800,765,16,503,501,282,282,503,649,501,501,503,800,500,282,649,501,649,282,800,542,502,282,649,503,882,501,502,503,474,503,16,800,503,500,501,873,725,502,503,500,800,293,503,282,209,503,649,800,649,800,649,649,3,800,16,503,503,966,107,501,500,800,649,501,649,500,502,500,680,503,501,637,501,503,503,500,503,500,800,800,880,500,649,72,289,502,500,500,500,918,775,800,649,502,16,500,503,503,502,9,16,500,501,503,502,800,503,501,502,500,501,503,392,282,800,282,961,501,500,501,500,501,409,649,503,500,502,282,460,503,649,500,501,282,500,501,649,282,800,502,649,800,501,649,282,800,504,800,331,500,941,282,649,501,504,649,832,282,992,16,621,500,502,500,502,955,501,503,503,500,501,501,68,189,500,649,649,928,502,649,282,587,649,282,282,500,500,503,800,500,800,502,502,500,16,503,503,800,502,501,100,282,503,103,800,500,503,589,649,500,501,504,649,502,503,502,770,649,649,983,790,649,500,501,501,502,649,502,649,649,800,500,41,16,500,211,503,183,649,375,502,649,800,500,502,354,503,500,649,282,800,502,800,501,502,503,503,503,500,500,185,502,800,800,503,141,500,503,504,502,504,502,503,500,800,503,503,649,503,500,282,501,282,504,860,800,649,503,503,21,502,502,503,649,500,800,649,500,706,611,157,800,503,103,501,800,503,502,500,800,503,16,501,706,282,282,501,16,502,16,501,500,500,338,504,649,502,800,502,649,500,112,800,503,456,502,649,501,964,800,502,503,513,740,434,504,649,927,16,501,502,800,500,501,649,500,649,502,716,800,502,500,501,502,500,502,503,956,503,282,793,649,800,501,503,131,649,199,467,800,500,501,800,503,502,800,114,649,16,500,800,502,502,800,504,503,504,539,649,800,800,649,649,503,502,107,500,282,501,501,502,501,649,772,500,500,503,976,16,800,500,501,503,501,501,501,912,503,649,649,502,800,501,649,597,282,800,501,501,649,503,282,16,10,502,503,501,282,705,282,501,800,16,445,800,503,503,503,502,501,282,649,503,649,504,501,649,800,800,800,131,500,16,16,501,503,502,502,649,500,282,500,501,649,501,800,800,16,649,500,503,282,502,103,502,503,500,500,649,500,649,503,500,800,282,232,503,282,500,501,501,503,501,282,649,800,64,800,501,649,502,501,502,503,500,800,503,501,842,748,988,501,800,494,503,503,503,649,503,649,103,501,502,800,282,649,800,501,502,800,282,503,500,500,503,500,502,649,875,800,503,649,282,503,282,649,800,705,294,649,649,501,502,800,800,500,502,502,502,504,506,663,800,649,503,649,503,282,375,103,502,352,502,800,800,282,868,649,408,649,503,500,77,503,501,800,503,503,502,800,501,501,16,501,722,649,538,800,649,800,501,502,649,649,502,107,649,282,500,502,502,800,623,107,501,500,500,649,502,421,282,146,501,502,14,800,719,649,503,500,503,26,501,502,649,500,501,502,501,649,282,800,16,282,501,649,501,800,649,800,649,501,502,503,501,500,688,76,502,16,503,502,503,500,282,502,974,500,759,879,192,103,502,53,800,662,16,348,503,800,500,800,249,745,282,503,501,184,800,800,604,500,500,705,503,500,866,501,282,649,681,43,501,282,503,649,800,502,649,503,800,503,834,16,501,500,502,123,503,800,153,800,501,172,800,282,500,503,500,500,501,282,16,500,649,649,800,800,282,800,503,800,501,800,800,503,649,500,282,501,500,649,503,800,502,501,502,502,503,800,503,800,500,502,502,455,282,503,502,674,502,649,4,609,800,800,503,800,500,748,502,649,500,500,282,808,501,282,801,800,649,500,800,16,225,649,500,503,501,500,25,501,16,501,501,231,503,800,649,503,501,800,800,649,649,800,502,260,504,501,500,649,503,500,501,16,501,649,501,500,649,475,501,107,282,800,500,232,800,501,774,481,800,503,504,800,385,800,800,800,976,502,503,649,82,16,503,500,501,649,800,705,649,649,503,502,503,282,16,500,800,277,503,437,282,282,800,114,649,800,503,502,649,501,501,501,500,649,504,800,16,16,103,500,500,502,649,502,337,503,800,503,800,500,848,649,649,501,800,500,556,500,500,503,502,503,282,501,888,502,502,282,504,502,165,502,501,502,800,502,500,502,501,500,500,503,501,500,40,502,502,503,649,502,271,649,504,649,502,647,502,500,503,282,503,800,502,16,800,504,113,282,501,649,503,500,649,501,501,503,649,925,16,502,16,501,800,500,649,502,503,800,503,503,500,800,282,502,503,501,503,800,800,502,16,503,503,502,501,502,500,60,16,500,649,500,503,500,502,500,800,282,500,503,649,16,502,500,501,503,502,503,800,502,47,500,502,503,16,705,282,500,501,503,503,258,500,503,649,501,800,502,504,503,500,503,695,501,282,649,501,501,501,502,500,504,649,501,503,649,503,282,502,282,503,391,503,282,927,800,649,501,503,502,972,16,500,501,500,800,624,500,282,501,502,500,16,503,503,800,503,503,501,649,501,649,502,800,706,649,800,649,16,107,415,649,502,501,501,502,649,282,16,282,501,501,501,502,833,503,103,800,501,503,649,649,504,502,503,500,16,500,16,501,503,500,655,504,322,282,103,500,33,810,1,502,800,503,502,503,282,503,501,501,282,202,657,500,500,501,800,501,42,502,503,502,503,800,503,800,800,649,501,16,649,800,502,800,502,16,800,800,16,500,649,501,501,501,282,649,282,800,16,407,649,500,500,208,502,282,501,16,501,656,785,282,649,649,649,649,378,800,500,649,800,649,503,503,502,503,800,282,503,282,800,800,503,501,648,504,501,501,500,504,867,502,503,501,881,649,800,649,282,273,503,502,800,503,500,502,548,503,502,502,434,501,649,800,649,502,610,524,327,388,649,500,500,502,502,500,501,501,502,282,800,502,501,16,502,501,504,501,649,896,649,500,800,649,503,137,503,649,502,500,501,402,649,649,996,503,503,501,501,622,649,501,649,502,501,649,585,235,800,503,502,107,501,500,282,107,649,649,791,185,502,503,800,800,649,504,503,800,501,107,501,282,501,503,16,500,502,504,959,705,501,501,16,502,800,501,502,800,502,501,500,79,77,800,500,500,800,282,282,649,501,500,500,282,503,800,502,282,501,503,800,649,502,502,649,504,502,800,504,504,806,500,800,504,773,501,503,500,500,649,800,649,866,503,299,531,502,649,649,501,500,800,800,649,503,16,282,800,649,503,500,502,500,282,800,244,503,485,649,16,500,800,501,501,503,503,649,502,502,503,500,282,800,501,501,800,503,502,503,502,800,72,501,500,800,502,649,691,915,500,649,503,500,800,503,649,649,502,503,503,282,502,502,103,474,16,932,649,502,800,502,800,503,501,800,649,800,818,502,503,100,800,950,403,501,282,800,503,800,503,502,503,501,800,800,800,500,132,649,502,501,504,408,16,800,107,503,800,649,504,502,850,800,649,691,649,282,504,649,326,500,502,789,503,502,800,503,649,469,282,988,282,500,501,649,502,800,730,503,800,502,500,80,503,649,649,282,500,503,857,282,649,501,500,667,649,502,649,649,501,800,501,800,500,502,504,500,503,800,282,502,502,649,282,501,527,790,800,282,282,503,800,649,800,503,649,502,500,502,500,282,649,500,500,500,500,501,501,107,501,800,502,649,800,500,501,500,503,800,800,800,502,649,501,829,282,282,503,621,282,800,16,800,649,282,800,503,800,501,501,502,500,503,503,414,501,500,362,649,502,502,141,282,649,503,503,16,282,695,502,500,503,503,800,500,800,807,502,649,502,282,649,649,500,649,649,503,502,328,800,459,800,800,500,500,502,501,796,800,253,657,503,502,500,501,500,649,500,649,502,649,649,800,649,501,800,649,503,282,502,488,649,500,929,649,649,649,501,842,330,800,107,16,282,16,587,649,503,109,533,282,502,502,649,107,503,800,649,649,649,800,282,723,649,800,649,501,500,481,649,649,500,502,502,502,500,502,502,501,800,649,503,649,503,503,502,800,629,800,501,800,282,282,501,500,649,982,502,426,503,16,52,800,282,142,16,503,503,287,502,502,503,502,800,140,502,501,649,500,503,501,800,503,502,503,429,800,16,42,501,800,502,282,570,501,282,500,318,107,920,107,107,649,500,15,649,800,125,154,500,502,402,500,503,503,649,500,282,501,501,849,649,503,800,227,503,503,800,800,500,501,500,649,502,502,649,800,500,16,503,500,16,504,501,649,590,500,500,800,800,649,502,501,502,503,500,500,649,800,282,16,800,649,502,800,867,501,255,640,503,501,502,318,502,503,502,282,500,503,180,503,500,649,800,503,649,282,503,649,500,503,500,649,500,800,501,501,502,800,500,501,465,649,649,502,292,649,501,501,649,177,649,501,503,649,500,546,103,800,807,430,502,985,282,304,800,575,649,649,649,500,502,502,500,15,500,800,800,502,502,500,506,649,649,800,502,282,800,800,501,500,53,16,503,501,500,800,503,18,649,501,502,500,16,500,73,502,800,480,800,500,649,649,16,800,502,503,780,599,16,501,501,501,649,800,500,500,503,649,501,501,500,500,501,800,16,228,503,503,282,503,16,500,282,282,503,503,16,501,503,365,649,282,501,503,282,502,800,503,649,502,500,400,503,282,501,800,282,649,502,90,501,649,649,282,501,502,649,503,503,502,502,649,503,503,500,500,800,977,194,488,282,500,858,500,344,800,250,107,16,649,800,502,502,502,649,800,502,501,502,403,501,800,502,800,59,503,503,372,649,501,649,503,500,282,503,502,800,500,500,282,649,501,502,501,649,503,800,502,503,649,705,502,282,16,649,503,16,501,239,539,500,501,800,55,282,500,282,649,503,503,800,800,800,500,649,659,649,501,503,502,645,16,873,502,649,500,800,503,800,649,16,501,502,800,501,282,63,500,649,800,502,649,501,800,16,390,503,527,501,800,500,502,502,649,502,800,500,216,503,649,503,800,282,649,501,672,502,282,502,800,16,800,404,800,500,649,503,649,649,649,800,503,503,503,500,500,800,502,503,282,649,501,800,205,501,501,502,16,503,649,263,503,501,500,501,501,16,282,500,504,16,800,503,502,84,649,471,500,926,501,649,500,500,500,282,501,502,500,649,800,691,800,282,503,501,282,597,501,760,649,500,282,501,501,502,282,502,502,501,649,500,503,649,905,121,501,649,504,282,800,500,473,649,649,502,501,501,649,502,503,934,103,502,282,502,503,501,503,800,800,172,501,503,539,800,502,500,649,282,503,16,500,501,10,800,927,503,587,561,503,633,502,91,501,500,800,503,282,504,500,502,503,502,800,107,500,502,649,500,500,502,500,503,649,800,542,282,649,502,501,16,16,800,649,500,282,501,503,501,502,500,502,503,649,500,503,649,649,501,800,500,502,500,676,649,649,500,800,282,852,788,503,501,800,504,502,501,502,502,649,503,16,107,503,800,901,922,16,504,502,150,36,800,562,3,501,502,500,502,503,800,501,649,282,502,16,282,333,501,649,501,800,800,652,500,649,649,268,500,504,501,500,503,800,500,649,501,800,649,800,501,649,501,502,649,503,649,282,800,282,482,502,501,282,800,649,500,282,502,282,16,649,501,649,800,503,881,500,500,501,16,502,649,800,500,503,282,501,501,503,501,501,500,149,503,500,500,290,501,502,705,503,800,503,800,501,134,488,502,500,503,502,503,502,503,800,649,16,502,649,341,502,282,501,500,501,503,503,502,800,500,282,501,501,501,503,501,800,517,501,103,282,697,591,501,649,282,16,500,500,501,649,502,800,649,501,502,800,879,503,495,501,6,800,649,501,282,503,501,504,501,531,503,800,503,103,649,800,501,649,800,503,501,800,800,649,800,502,800,649,23,282,501,153,500,705,282,502,503,282,51,503,133,282,282,649,372,503,649,649,282,501,649,649,501,649,503,282,464,16,500,502,800,503,282,500,503,500,800,649,501,503,649,501,501,16,649,800,649,500,800,649,800,800,500,800,800,501,501,282,800,37,874,500,501,501,501,903,673,501,503,649,800,501,649,800,503,800,649,800,549,501,800,649,800,501,502,228,503,444,502,503,501,501,800,503,502,500,16,348,4,16,501,501,649,800,503,501,501,503,800,152,500,503,500,649,500,502,501,503,503,16,649,502,502,649,620,282,282,282,800,501,500,649,282,502,649,282,167,786,501,800,502,800,503,282,393,500,282,501,282,503,502,287,649,167,800,638,462,503,503,649,800,503,503,502,501,501,501,502,800,649,500,502,649,500,282,649,502,502,591,649,16,502,800,282,501,502,500,502,649,649,649,800,649,444,800,649,502,397,649,800,502,501,503,282,502,282,800,107,520,649,500,107,800,502,800,503,800,502,503,501,800,775,16,501,649,800,500,502,500,649,501,800,649,649,95,649,500,270,504,503,502,800,502,649,649,800,649,502,500,800,502,444,282,503,800,800,502,921,649,252,500,501,501,649,503,649,666,503,751,649,501,16,649,872,107,649,502,500,502,282,649,16,282,983,282,649,103,502,500,173,502,649,800,800,282,107,800,502,649,502,464,502,503,807,500,156,503,103,282,800,503,503,501,16,649,800,501,501,142,649,800,234,287,800,500,800,504,503,500,649,500,107,281,501,16,500,254,282,504,503,649,649,500,502,800,800,503,800,649,800,800,800,649,502,502,16,679,500,107,500,502,16,500,501,800,649,504,501,800,503,649,820,293,500,502,502,649,500,800,501,800,16,649,503,800,503,502,501,649,500,502,16,501,502,501,202,502,800,500,64,501,649,501,282,342,523,800,649,502,800,800,500,500,501,502,282,800,16,800,501,282,502,899,282,103,500,500,500,649,500,955,649,503,800,503,282,800,502,16,800,649,501,649,282,502,502,649,649,648,649,502,504,503,649,502,502,800,501,502,800,503,649,500,501,500,649,800,503,649,501,501,649,502,282,500,649,948,504,649,502,667,500,282,800,800,503,503,503,500,500,800,500,502,502,502,500,649,502,16,503,501,16,282,800,500,500,714,260,503,649,501,500,501,146,500,502,501,503,500,282,501,282,800,502,649,127,16,502,800,501,967,503,501,503,502,503,16,649,800,649,800,649,649,501,502,649,649,800,502,649,501,503,649,649,649,502,282,84,649,503,282,649,649,113,800,501,649,649,502,282,500,765,649,503,503,649,649,500,649,282,800,501,502,800,823,503,500,329,800,502,282,800,503,497,107,751,103,502,800,501,501,649,500,16,502,503,282,500,500,705,502,800,503,649,559,503,503,16,705,503,870,649,310,503,503,500,503,800,16,502,183,800,500,503,537,800,16,503,407,503,42,501,501,503,501,800,282,649,800,800,501,501,503,649,800,501,103,800,600,800,649,503,800,502,502,16,649,282,503,807,503,800,649,800,503,649,800,800,502,380,522,500,800,282,800,649,501,503,800,501,16,500,16,800,800,649,500,282,800,503,87,503,800,503,16,649,1,330,649,800,889,500,502,649,502,502,500,502,649,800,501,282,501,16,500,649,800,649,282,500,649,649,649,282,502,282,503,500,800,649,189,503,800,649,501,800,649,500,502,501,649,501,800,503,570,508,705,503,588,502,649,800,649,501,807,800,683,157,800,503,800,504,503,501,282,501,800,649,282,800,649,503,500,502,649,500,501,649,502,625,501,500,452,502,501,103,282,449,800,500,502,503,649,649,649,503,136,649,649,501,500,73,428,503,649,503,500,935,501,500,315,502,800,800,501,649,500,800,800,502,500,649,503,800,800,16,172,502,257,649,500,800,727,501,119,502,501,502,800,500,500,800,503,503,501,500,269,649,282,800,16,800,502,649,503,501,501,649,500,501,500,501,502,122,503,649,503,500,503,501,16,500,282,16,503,500,99,503,502,649,781,649,848,503,800,500,500,503,800,501,503,503,649,500,501,482,500,500,504,503,649,649,16,800,649,500,282,800,504,282,501,503,504,504,502,501,315,106,502,800,503,500,800,501,282,800,800,16,800,800,649,501,500,500,503,500,503,502,503,502,282,800,502,439,16,502,502,503,502,649,500,282,271,282,500,502,800,649,501,502,800,800,501,500,501,501,500,802,800,501,800,502,502,502,282,504,503,649,398,402,649,503,501,501,502,282,705,803,617,500,503,502,649,503,500,800,500,502,298,282,503,398,502,502,282,501,772,282,501,502,504,649,501,800,103,649,649,501,800,501,16,504,800,503,501,502,800,500,649,800,502,800,649,503,501,500,503,501,502,800,502,500,933,103,649,501,503,171,800,500,504,502,778,503,348,503,800,800,503,800,649,649,128,500,500,610,500,503,500,922,16,649,500,501,501,16,501,504,503,594,217,649,649,500,501,503,500,282,282,800,649,944,503,502,502,165,800,137,502,811,501,649,880,649,501,501,686,501,502,503,262,503,503,800,503,502,649,500,501,500,502,800,500,502,501,649,501,501,282,282,800,800,502,501,649,501,502,649,500,282,282,500,502,502,501,800,800,800,195,500,503,282,502,500,503,502,811,509,282,800,500,328,500,674,502,800,501,16,501,500,16,502,500,501,503,503,282,502,462,649,500,500,500,503,282,503,501,502,500,503,501,503,500,800,503,503,426,503,807,649,502,649,649,282,500,800,107,500,503,8,547,282,800,500,800,705,502,503,649,282,503,800,373,501,500,501,500,649,502,502,800,625,800,502,502,500,503,503,649,502,500,800,649,800,800,800,502,500,649,502,502,502,501,282,800,502,800,503,800,501,282,16,800,800,501,502,649,674,124,773,649,500,500,107,501,800,282,501,501,649,502,501,503,649,284,502,500,503,502,502,649,800,503,501,282,501,502,503,502,500,500,501,501,282,649,649,503,500,16,864,800,800,918,649,800,501,262,502,800,649,503,150,125,107,282,800,800,16,500,501,800,502,503,500,800,282,502,501,649,282,800,500,503,501,501,501,804,500,649,649,282,800,800,800,16,649,502,282,800,502,649,503,649,501,354,501,800,16,502,649,16,649,241,503,504,501,627,800,501,352,503,649,500,882,649,800,500,107,282,503,502,800,501,16,501,500,282,502,103,649,503,888,649,501,502,501,503,16,501,503,800,500,500,800,649,503,800,800,800,502,500,800,282,800,500,800,501,649,649,502,500,800,649,501,649,500,649,282,800,800,500,948,500,502,649,800,441,16,375,502,501,282,800,649,502,500,282,501,16,502,502,711,501,503,649,503,800,282,800,336,594,504,800,500,649,500,859,502,502,502,500,282,649,502,503,501,649,500,501,800,503,501,649,16,500,503,503,282,503,502,500,800,649,502,254,501,558,163,504,800,500,16,503,501,500,612,282,502,259,993,800,734,649,501,835,502,282,500,500,649,88,16,503,500,500,649,503,649,800,282,500,503,500,501,501,959,502,800,500,503,503,800,282,16,800,226,500,800,16,502,649,503,677,197,800,501,502,501,502,800,649,503,501,726,502,502,282,500,800,649,649,501,502,503,649,800,282,649,61,500,800,500,800,501,501,16,282,500,501,501,811,649,502,649,502,503,502,500,500,503,800,820,212,282,284,502,501,16,504,156,502,500,500,800,500,282,502,501,500,705,16,500,503,503,337,107,501,503,503,268,500,16,800,800,800,649,503,502,421,868,282,503,502,403,502,790,503,202,800,503,501,501,504,503,503,800,501,800,649,16,502,503,209,649,800,649,502,501,500,501,503,649,500,649,503,649,501,107,235,649,649,500,500,649,500,800,830,800,502,800,649,649,502,502,500,800,282,501,649,140,649,500,49,280,500,502,503,649,800,649,500,502,502,117,560,800,649,800,16,502,878,993,500,800,246,503,245,500,456,503,502,800,382,503,503,503,503,500,502,282,609,503,502,800,501,539,655,502,500,282,800,942,502,282,649,282,500,282,504,503,501,503,500,500,500,503,502,16,503,500,502,16,507,800,502,649,504,500,674,504,503,412,800,800,501,649,800,502,282,500,282,500,649,503,800,800,649,503,500,354,501,500,649,500,649,503,800,502,282,100,107,893,800,503,500,282,649,274,501,501,644,649,500,649,503,500,649,502,501,875,282,800,798,736,649,16,502,500,503,500,500,908,503,500,500,100,502,800,501,501,515,16,516,502,350,736,649,503,502,502,229,649,502,800,649,502,504,672,503,800,282,282,500,800,500,502,649,282,503,500,501,375,501,502,500,500,500,649,501,16,500,502,269,800,503,500,500,800,500,502,800,693,435,649,501,503,503,501,368,501,440,213,503,501,282,500,500,500,282,500,355,500,419,800,649,187,502,502,503,500,800,503,137,503,500,649,649,502,504,16,817,649,649,800,103,501,649,501,502,500,502,502,649,502,800,502,500,503,503,649,107,936,7,800,501,367,503,503,282,649,16,503,503,282,501,16,502,502,16,500,988,500,501,503,823,649,502,282,502,503,501,800,503,800,501,503,503,503,156,501,500,282,501,500,500,800,501,800,649,500,800,800,502,680,503,504,500,503,502,502,501,502,649,503,504,500,500,649,503,800,500,502,649,271,649,688,282,649,501,282,500,649,800,502,500,649,649,501,282,800,649,501,501,649,504,503,16,501,800,501,502,502,502,649,474,502,503,502,503,282,16,800,503,503,500,500,800,649,800,501,16,501,436,501,503,727,75,649,503,800,649,800,800,800,501,501,649,800,502,501,800,800,501,649,800,500,502,501,501,500,500,500,500,707,649,800,987,501,800,500,164,282,16,503,503,502,800,361,649,502,282,502,800,649,22,800,501,501,500,800,903,800,800,800,500,502,501,634,649,502,800,501,76,500,172,649,304,503,16,502,500,800,501,979,649,500,500,500,500,503,500,501,800,501,107,282,800,649,800,16,504,16,649,800,500,649,501,357,649,800,649,503,500,800,107,284,500,16,502,649,501,500,501,800,649,503,800,500,649,501,503,503,502,16,50,800,503,500,503,41,649,501,501,503,282,649,282,745,282,501,649,502,501,573,649,503,282,500,649,502,503,501,123,503,282,213,500,649,501,775,800,649,31,500,800,502,282,502,503,649,501,649,16,500,502,800,307,500,503,282,501,501,501,501,500,501,501,800,807,736,501,502,503,503,282,501,716,503,501,800,502,282,800,16,880,502,800,800,500,504,501,500,800,502,649,800,583,503,508,649,501,324,16,503,900,649,504,502,503,800,500,503,800,649,421,501,800,870,19,443,501,649,502,800,501,16,282,500,500,500,800,500,649,107,431,649,503,500,456,503,502,503,500,500,502,103,501,501,501,502,800,800,655,503,800,502,649,800,420,649,800,503,657,501,502,800,503,500,880,503,503,800,500,800,504,501,349,960,800,282,502,503,777,503,503,800,502,500,501,800,501,649,501,649,800,649,500,502,800,501,800,501,649,504,173,649,500,502,649,503,800,502,501,503,649,800,501,649,422,500,502,649,500,928,649,800,649,502,500,598,16,500,282,503,501,503,500,649,500,800,412,501,501,501,501,503,503,501,503,502,649,503,502,503,503,649,649,800,16,649,503,649,649,227,501,500,800,501,502,503,282,282,649,649,502,501,500,503,800,772,649,500,503,502,500,800,503,53,107,503,501,504,502,800,500,503,282,502,800,107,270,501,500,649,503,16,501,501,503,501,649,16,503,503,500,800,500,649,282,500,649,800,501,800,800,502,649,503,597,649,649,16,800,41,282,500,384,649,800,503,501,503,649,504,501,500,500,460,501,501,502,503,282,649,502,282,649,500,503,502,859,107,503,223,649,504,502,502,500,800,501,501,502,800,73,649,649,501,649,501,649,501,502,502,502,499,282,502,503,649,649,800,649,501,282,502,550,819,254,282,800,502,500,282,500,282,16,649,503,503,282,501,502,501,500,800,24,165,501,800,502,705,198,282,800,800,649,501,122,649,501,502,500,649,501,503,800,503,504,282,282,503,503,501,731,800,502,800,800,501,504,500,501,503,170,800,90,649,649,649,503,800,649,501,500,800,232,16,282,500,502,503,649,107,502,503,800,502,500,800,501,800,503,502,503,503,502,503,503,503,282,649,999,501,503,649,504,502,282,501,503,800,649,502,503,649,502,649,211,502,502,502,282,501,800,815,501,866,501,504,503,800,500,550,503,503,502,500,800,501,502,503,503,75,501,503,501,500,500,500,850,16,649,649,501,503,800,16,501,502,800,503,720,501,503,649,503,828,502,800,503,502,501,107,800,503,282,500,800,800,503,649,500,504,502,649,649,228,503,503,185,128,501,849,649,800,500,503,500,103,282,282,500,502,270,800,500,502,500,502,16,503,503,500,282,501,502,354,649,282,501,422,178,502,503,800,502,500,502,800,503,649,503,503,649,800,800,503,282,501,501,503,894,502,800,282,282,501,171,503,502,282,500,503,649,502,501,800,501,748,500,502,649,800,649,503,651,503,696,502,502,800,800,800,282,501,500,500,500,408,503,800,137,263,502,282,502,501,800,502,649,502,649,503,649,944,800,649,500,800,16,213,103,501,503,800,16,371,800,501,49,500,504,500,500,16,282,649,282,502,500,502,502,501,649,800,649,584,501,804,800,501,502,800,5,649,282,649,501,649,800,503,107,93,503,117,502,282,282,503,500,800,501,16,800,500,502,503,16,503,502,500,503,800,800,500,502,739,679,502,500,649,500,503,649,500,501,282,282,15,499,500,503,502,741,800,502,335,649,503,282,265,502,800,800,500,782,336,501,503,800,16,800,503,500,60,501,649,503,107,500,503,502,16,502,500,800,502,16,282,501,503,800,502,500,649,501,501,282,282,503,500,16,800,800,502,800,649,649,502,282,501,502,502,282,501,500,500,958,282,203,502,800,800,317,503,502,501,502,500,502,502,107,502,500,501,504,649,501,501,502,800,501,282,500,501,501,502,501,502,503,959,503,16,502,35,500,503,800,502,282,649,687,282,443,502,800,501,486,800,500,800,282,649,502,649,649,502,500,501,500,502,282,282,107,503,503,800,503,897,500,503,503,649,800,501,974,503,500,500,503,649,500,127,500,800,107,282,800,64,503,649,502,500,282,800,502,649,800,504,649,282,501,712,800,503,502,501,502,501,503,733,201,503,503,800,107,800,500,649,500,502,775,502,500,500,501,501,500,503,502,412,800,502,51,647,282,649,114,649,888,501,8,983,501,829,503,800,718,282,649,501,800,845,500,649,282,800,500,649,501,472,500,533,282,502,500,501,649,800,250,500,502,502,890,502,501,503,800,39,503,649,649,800,649,282,503,649,502,800,503,649,503,501,649,649,500,504,502,282,649,649,501,649,503,734,502,282,976,820,649,800,295,348,60,649,503,503,649,502,502,800,502,16,500,864,282,800,503,317,500,800,500,502,743,649,649,16,503,500,503,623,282,501,390,739,500,996,500,649,528,502,502,649,282,71,649,649,800,500,500,502,800,800,502,791,502,282,515,800,501,500,800,500,500,503,500,501,817,501,800,501,503,500,504,649,323,359,500,501,800,107,649,708,959,649,181,16,502,649,800,502,282,502,375,649,500,800,197,242,800,800,800,800,800,800,500,561,649,504,394,504,282,278,503,503,649,959,410,503,282,503,16,800,800,16,649,800,501,503,503,503,649,501,503,800,500,649,672,501,500,500,758,502,500,649,649,504,502,107,500,502,500,887,500,503,502,494,503,649,649,501,635,800,800,500,500,503,649,649,602,504,501,503,649,297,500,615,502,500,800,282,649,501,501,504,502,604,504,500,649,503,282,458,282,501,503,502,800,115,282,791,500,502,501,649,800,800,649,282,800,649,649,503,501,800,501,500,230,649,968,16,250,632,282,800,800,2,503,649,649,503,502,800,503,649,501,720,800,500,629,918,649,501,800,959,649,503,649,75,800,649,502,16,649,500,649,503,502,502,501,649,503,501,502,800,800,503,282,307,649,501,501,500,16,282,503,621,649,502,501,503,805,534,502,649,370,500,282,501,16,910,500,503,800,649,502,734,503,500,649,501,103,149,776,282,16,503,980,502,649,500,500,282,995,800,800,502,502,649,500,500,649,503,502,503,500,500,282,503,649,649,500,503,282,500,835,500,501,800,502,649,282,500,563,503,500,500,800,649,500,501,500,282,503,502,503,500,649,501,702,282,503,501,502,501,503,282,503,282,16,501,800,500,649,649,649,503,649,500,649,649,800,649,649,649,501,800,396,16,500,501,503,501,503,501,16,500,16,649,502,503,502,500,501,373,488,503,503,800,800,500,16,16,501,501,503,649,849,503,282,649,501,500,501,502,800,501,282,501,503,500,16,500,501,500,649,501,503,800,500,503,501,501,500,800,500,500,501,800,501,503,16,649,800,500,501,282,501,500,649,800,503,649,503,501,649,501,502,16,501,800,504,500,503,800,649,800,500,501,500,502,501,500,16,500,16,502,501,649,501,282,996,500,708,649,503,282,502,800,728,649,800,649,800,800,503,501,502,501,503,649,800,357,16,502,800,501,649,800,369,282,649,649,265,503,503,504,502,502,16,500,800,502,649,282,800,800,16,800,282,649,503,501,503,502,649,436,649,282,500,282,871,500,927,649,500,16,800,800,500,614,649,649,503,649,503,914,501,503,501,501,503,503,501,586,16,385,174,16,649,504,800,503,503,503,502,502,867,800,16,502,649,988,503,503,800,800,800,500,501,800,282,676,500,501,649,649,649,501,501,503,503,500,282,649,500,502,649,100,282,503,351,282,502,504,502,800,503,501,500,368,502,501,501,649,800,502,1,500,502,500,501,649,649,649,649,649,503,500,800,503,501,503,502,875,502,356,49,649,800,282,503,500,503,501,649,16,146,16,649,504,503,800,501,16,502,800,503,500,501,800,502,282,500,500,800,104,502,107,454,500,500,282,502,500,501,88,500,501,800,503,16,282,800,649,129,502,649,502,501,282,502,649,501,649,649,502,500,500,500,501,502,501,502,502,503,500,282,649,503,649,975,502,649,649,501,127,502,649,500,501,501,800,501,470,800,500,503,502,500,800,503,649,503,16,503,500,501,890,503,502,16,649,502,103,856,501,503,502,800,919,500,504,503,282,501,500,502,504,501,79,800,800,501,500,649,282,800,800,503,500,49,501,800,501,649,501,282,649,649,503,500,649,501,16,649,649,282,800,502,282,649,502,500,649,208,500,16,649,503,649,649,649,503,282,501,502,500,502,502,540,800,649,502,282,649,500,500,501,502,500,502,500,500,502,800,282,800,502,649,318,500,878,500,282,502,103,500,503,282,800,502,800,500,649,268,800,282,16,649,54,173,282,404,800,705,501,501,649,649,501,502,501,501,423,800,502,633,649,504,800,282,501,16,502,503,337,503,501,503,502,502,502,367,501,500,649,649,502,502,800,649,649,649,282,649,501,500,382,649,502,501,800,649,503,282,502,503,500,967,16,502,502,503,774,501,16,502,323,107,800,282,800,800,800,504,502,373,504,649,502,504,501,282,503,899,649,500,800,501,501,649,503,502,502,32,503,649,500,16,500,500,503,573,282,649,502,800,649,604,503,649,800,631,500,107,500,800,107,16,501,957,649,503,503,501,500,800,649,501,503,649,12,503,282,501,503,282,70,501,504,649,999,649,16,800,459,631,503,500,504,501,502,502,649,800,649,649,827,800,502,503,649,649,503,500,501,800,500,282,503,500,503,282,16,502,649,38,649,501,502,502,282,649,601,502,282,503,502,282,503,649,282,800,501,166,503,500,501,501,500,503,502,500,503,649,500,503,800,500,414,501,107,501,649,500,504,800,785,502,502,705,503,503,500,501,503,800,502,649,800,16,502,503,622,649,504,501,649,500,500,800,282,800,701,649,503,502,649,649,649,500,502,581,503,103,282,503,502,502,664,503,16,208,501,649,501,500,800,503,500,501,503,501,501,800,740,501,500,800,500,502,800,16,501,800,501,502,800,16,302,800,501,503,187,500,501,607,649,500,503,800,502,649,518,282,198,800,800,500,282,919,273,604,282,503,295,800,503,501,800,649,501,649,501,649,502,503,500,800,104,500,282,800,800,501,502,800,649,502,800,649,503,800,503,503,282,501,501,800,800,95,649,649,800,282,500,649,503,800,504,800,501,502,16,649,501,468,502,649,800,800,639,501,753,800,501,664,500,502,800,500,213,500,502,990,282,282,649,649,800,16,16,500,503,800,652,503,800,502,649,502,800,503,16,649,503,504,800,503,503,800,502,503,16,800,500,800,503,502,131,649,800,502,503,682,500,800,502,649,503,500,503,501,649,649,800,503,282,800,503,501,649,800,500,134,501,103,800,649,800,282,800,500,800,503,800,503,493,502,754,649,501,279,649,649,107,501,500,800,16,501,649,503,649,800,649,502,800,501,502,503,800,501,931,649,699,500,500,800,503,501,501,500,503,500,503,800,503,500,504,98,500,502,800,502,422,290,800,502,649,501,501,16,501,830,500,800,704,502,800,800,343,500,500,107,16,502,500,503,500,500,282,500,800,649,500,649,502,800,103,503,502,500,501,649,649,800,502,500,814,502,800,282,649,522,649,500,649,79,800,503,649,503,428,501,500,500,502,282,649,649,501,501,501,500,784,282,282,800,800,800,800,501,342,282,649,503,649,500,800,884,501,800,649,503,649,500,502,501,503,107,800,649,800,500,501,800,649,16,800,282,107,800,502,800,413,823,800,17,501,504,295,800,494,501,501,501,378,800,500,503,910,501,556,800,16,800,501,503,501,800,502,282,649,649,800,960,504,649,500,500,634,503,503,120,502,282,502,503,16,501,501,480,800,500,282,502,649,649,16,502,449,800,722,282,800,503,649,649,500,649,502,504,503,649,750,503,501,501,500,800,121,503,282,500,800,503,504,500,124,16,502,800,286,503,501,564,503,800,501,602,22,800,502,16,502,501,649,282,282,500,649,503,800,501,503,502,501,741,800,501,503,649,502,800,649,503,500,107,459,16,501,666,282,649,502,500,649,501,282,502,504,649,525,503,502,501,16,501,503,16,649,502,800,649,501,282,502,649,500,500,502,504,502,502,502,649,503,502,649,501,800,502,807,503,503,800,332,173,282,800,502,501,649,503,503,500,501,500,282,997,500,825,800,282,500,132,800,649,501,75,800,649,503,902,970,501,800,649,282,800,800,282,880,290,501,649,503,649,503,500,649,502,16,282,500,649,500,500,502,500,800,800,800,649,800,500,800,500,501,501,500,502,501,500,800,502,649,500,649,501,800,649,604,503,649,649,649,800,500,800,503,649,433,500,950,501,500,434,501,502,502,503,219,649,500,501,501,503,504,649,501,800,282,500,649,684,16,502,502,649,503,800,504,16,500,502,500,502,502,501,501,503,800,649,502,767,503,800,282,800,16,501,500,649,649,448,282,282,500,649,16,502,649,502,501,500,503,503,982,503,502,503,454,649,800,16,394,502,501,107,800,501,501,16,503,800,502,503,16,502,503,649,800,800,500,649,503,800,16,800,800,16,501,502,504,282,800,502,16,500,504,503,583,500,502,502,649,502,501,500,501,502,500,501,503,504,800,800,800,649,649,500,847,362,500,500,500,503,282,501,16,649,501,226,502,500,502,800,501,501,503,113,649,500,649,502,504,503,500,414,503,282,667,501,649,500,828,503,502,500,45,897,282,321,502,649,493,500,800,649,158,503,508,282,649,500,800,800,502,500,501,502,789,503,647,68,649,800,282,649,500,501,787,649,16,299,252,800,503,502,146,601,502,800,800,502,800,502,504,800,649,800,568,504,502,188,502,503,16,500,500,501,16,800,649,501,500,503,649,502,502,649,649,822,501,800,800,635,282,649,649,504,503,16,500,16,189,800,16,906,501,500,649,503,502,649,800,502,501,282,107,500,500,501,282,500,800,800,649,500,502,501,502,503,649,500,649,504,800,504,282,649,502,282,501,649,649,503,500,501,649,501,800,502,501,501,500,503,502,503,502,800,503,428,502,502,16,501,649,208,502,500,416,100,500,500,501,282,501,503,500,649,800,800,16,16,800,16,500,800,504,977,649,649,800,502,503,502,501,282,649,500,501,800,503,500,503,559,16,800,502,502,649,649,500,501,282,502,800,503,800,649,1000,500,649,502,649,800,743,503,500,966,876,502,501,500,503,503,649,501,503,501,649,800,649,503,502,103,572,500,649,503,503,800,154,500,282,282,682,502,744,500,503,389,649,800,502,649,282,649,501,501,504,502,500,649,502,503,502,800,502,543,365,502,504,429,649,502,503,282,503,649,800,649,107,800,502,500,502,502,502,501,501,502,800,282,89,502,500,800,501,784,282,504,672,282,502,502,500,282,502,501,504,282,785,502,649,502,504,815,282,502,500,649,282,139,503,800,800,649,500,22,282,501,649,500,282,500,16,800,649,282,800,829,649,503,502,500,103,649,800,502,501,503,649,649,800,502,800,864,705,501,800,917,503,800,500,800,800,800,502,649,500,501,501,800,213,16,500,16,503,501,800,649,794,503,503,501,282,282,272,705,126,800,282,501,800,649,500,501,558,286,500,282,502,649,500,502,503,649,503,503,502,503,525,503,501,503,501,649,649,500,501,502,503,22,649,501,282,503,649,38,502,500,254,500,503,124,649,133,500,503,696,500,501,500,307,501,974,501,800,503,502,501,800,501,800,649,504,502,503,501,800,75,649,800,649,501,282,649,649,177,502,800,504,338,500,649,502,954,504,500,649,325,800,500,649,675,501,501,503,502,503,501,502,502,649,502,649,500,800,500,649,649,649,649,501,16,500,500,502,503,649,649,282,501,800,649,502,800,500,503,800,649,800,500,504,503,80,463,807,800,502,282,527,502,649,403,502,840,501,501,649,502,926,649,649,501,800,501,501,800,213,725,500,500,800,503,500,503,502,500,16,503,103,503,10,339,811,341,503,502,501,800,501,569,502,649,103,800,371,501,16,800,501,503,800,503,800,502,649,16,501,500,502,375,502,502,502,282,502,501,500,624,800,501,800,501,501,501,502,502,33,500,502,649,202,500,502,800,502,800,502,649,649,722,500,800,49,705,915,807,503,16,282,502,502,584,800,996,800,501,503,107,282,649,501,501,530,800,502,649,649,649,501,500,503,800,800,503,503,501,502,649,503,502,185,501,16,800,501,649,63,500,687,800,800,503,800,551,649,500,500,502,502,500,502,501,504,503,230,649,800,502,500,649,502,502,883,649,500,612,282,649,436,282,103,800,800,649,16,649,685,649,649,501,500,282,800,543,282,107,502,649,503,500,107,500,800,502,502,500,504,16,800,705,501,503,503,502,649,685,503,503,500,502,16,447,649,502,504,503,503,800,259,150,916,503,502,502,500,500,649,504,800,501,800,800,503,800,800,502,503,503,649,502,681,500,584,500,800,800,500,503,500,503,501,502,770,800,503,489,649,800,282,800,800,649,502,800,16,500,16,504,501,800,282,501,500,500,800,649,71,282,282,500,514,282,504,503,800,500,502,503,16,649,649,649,500,500,282,503,282,649,500,501,800,800,800,348,503,800,800,503,500,500,502,800,500,502,107,500,503,500,649,502,502,649,282,547,897,502,665,501,206,649,500,502,282,501,504,501,76,500,665,214,502,503,800,398,800,500,30,800,502,776,282,16,16,282,502,100,800,800,649,501,502,503,501,502,329,502,503,501,503,711,103,800,501,500,136,500,500,501,500,501,503,649,502,312,501,16,503,502,503,504,800,500,503,643,649,503,500,500,503,16,500,800,16,500,16,800,503,500,502,16,113,502,502,500,16,500,501,502,503,800,501,153,501,500,763,649,502,500,502,502,649,800,656,502,800,502,503,649,503,649,649,501,500,500,500,501,800,209,282,502,649,500,16,282,800,502,501,503,800,500,649,649,500,649,649,16,501,502,649,800,501,500,282,503,604,501,501,500,501,16,391,800,800,502,800,502,465,504,503,282,207,503,16,800,902,504,800,282,800,107,503,503,661,542,282,192,800,649,503,87,649,501,500,500,500,500,503,800,649,502,800,502,367,501,503,500,284,800,282,800,800,502,502,282,282,503,503,500,501,504,16,503,649,503,502,500,800,500,282,502,500,196,503,503,503,282,500,503,500,103,282,500,501,503,400,800,649,649,16,501,800,500,500,502,800,500,800,481,16,502,282,501,649,502,649,503,500,282,501,97,800,501,501,490,16,502,501,502,503,107,501,282,649,503,927,800,980,500,282,800,649,282,502,503,501,503,800,800,501,504,649,110,16,649,501,503,504,159,501,500,800,649,502,649,649,649,649,501,502,282,649,502,282,800,502,800,503,103,503,501,800,649,800,282,800,502,500,282,16,503,800,501,500,800,503,649,502,961,649,501,282,503,800,503,800,649,282,501,282,649,503,694,501,649,649,502,765,501,649,503,137,191,501,16,649,500,500,503,503,500,282,501,502,502,504,266,502,649,779,503,503,501,247,501,502,503,503,500,205,649,503,188,502,501,501,500,440,501,800,16,649,16,500,503,501,500,502,502,502,649,503,502,501,308,905,503,800,800,649,500,800,500,16,501,503,800,61,500,649,16,501,649,502,504,649,500,501,500,800,649,887,503,938,800,503,800,282,800,504,500,163,800,503,500,649,502,501,810,500,649,755,502,502,813,500,649,500,800,282,327,502,692,501,504,800,397,501,502,500,502,503,445,649,500,503,800,649,649,800,502,223,16,500,503,624,503,481,103,649,649,800,502,504,502,500,502,282,501,503,800,502,282,16,649,503,800,33,503,649,684,503,502,341,503,501,916,800,501,502,502,500,282,503,397,649,649,165,501,827,500,649,336,800,649,503,649,649,271,501,502,501,502,502,501,282,565,16,501,649,630,649,649,649,649,500,502,903,649,800,800,282,502,896,504,501,502,500,500,503,503,107,501,554,800,649,16,500,504,502,502,649,143,500,502,500,503,500,649,501,800,800,500,649,649,649,649,501,502,800,800,282,649,503,229,502,502,649,45,501,649,800,501,937,501,502,499,649,500,502,649,483,501,649,501,649,800,503,503,503,501,247,503,649,800,970,649,800,681,502,503,16,501,501,649,500,500,103,503,503,282,800,800,501,476,800,501,500,346,282,282,744,800,649,500,502,649,501,427,501,649,282,649,500,649,282,503,502,501,503,503,501,649,282,800,282,649,500,282,800,500,501,258,65,800,800,800,503,502,501,502,649,501,103,503,123,649,649,68,16,500,503,502,502,136,282,503,502,307,800,503,16,423,631,502,502,503,650,503,649,500,500,800,649,500,807,649,503,503,487,649,503,842,503,282,107,800,649,501,501,500,500,141,745,282,501,752,800,503,503,649,502,501,282,17,649,501,502,282,500,503,503,500,257,649,194,500,127,282,503,800,503,502,502,501,502,501,501,503,501,282,735,800,502,500,501,800,649,503,502,503,800,103,649,500,503,502,502,500,502,502,502,649,649,16,16,16,500,282,649,63,503,504,501,500,502,649,503,503,800,74,503,649,16,500,800,282,500,500,501,501,282,502,800,501,649,500,501,282,649,282,800,502,503,649,503,503,282,502,502,282,502,282,502,502,503,800,807,649,500,502,501,800,502,501,649,311,500,500,503,800,501,800,282,502,502,503,649,800,395,282,649,501,503,800,16,502,800,500,503,500,649,290,116,282,649,503,282,567,474,503,945,502,800,501,500,501,502,649,800,649,282,501,503,500,502,503,649,502,107,500,502,649,16,501,501,501,502,501,503,800,503,502,800,70,503,64,649,502,501,501,649,503,723,501,800,649,503,800,504,649,649,282,649,503,16,502,503,837,501,503,800,649,502,800,500,649,511,503,501,800,800,16,103,502,649,501,800,502,502,649,501,502,938,455,503,600,16,502,649,800,501,500,748,800,504,754,500,533,503,649,400,649,16,427,163,500,502,800,800,503,500,502,800,649,503,503,502,800,740,282,502,501,503,800,683,747,501,502,800,649,649,500,126,282,500,649,282,501,500,501,649,649,49,282,798,800,649,649,503,500,502,501,500,72,649,502,649,501,282,503,500,759,502,501,107,503,800,649,501,649,501,282,501,502,502,16,502,77,649,503,500,503,502,282,282,649,501,503,502,800,315,609,502,649,501,500,800,800,500,16,282,796,500,219,502,155,503,800,16,282,649,502,649,617,502,500,800,502,649,501,500,501,649,142,502,503,503,649,649,503,503,711,903,637,500,758,501,649,649,649,503,16,649,503,501,501,502,800,501,503,16,501,500,503,649,503,800,800,620,282,501,454,649,534,282,500,502,501,649,502,503,503,649,502,800,500,831,282,649,500,282,501,502,501,649,669,750,502,501,501,502,649,502,649,649,504,359,800,502,502,501,502,16,502,16,501,298,501,502,503,502,800,501,503,500,282,500,500,225,500,649,502,800,392,503,649,502,282,495,502,503,973,101,501,649,649,78,107,502,500,502,169,649,16,649,828,501,502,282,649,501,16,503,503,501,501,503,502,503,500,107,500,232,502,282,282,500,501,800,281,500,800,503,503,502,500,501,649,800,501,649,14,800,649,500,578,649,800,800,501,501,504,500,500,503,503,500,501,649,800,800,649,229,503,501,500,500,503,500,503,649,419,502,503,649,501,768,649,800,502,800,737,503,502,500,502,175,649,16,502,502,502,649,649,924,649,500,42,503,16,800,649,800,282,503,503,502,649,501,649,16,503,649,504,647,501,500,501,800,649,16,500,502,282,500,800,282,500,649,500,503,501,500,800,649,800,649,502,16,503,500,649,126,649,501,807,649,502,16,649,503,525,649,649,107,16,649,649,649,500,939,649,500,800,502,500,649,16,503,502,16,800,435,501,503,503,501,16,800,730,503,500,500,503,649,800,501,501,649,500,800,800,677,503,501,503,502,501,306,502,649,16,649,502,800,800,503,800,982,503,16,649,649,800,501,649,502,500,282,755,649,502,502,649,123,502,500,16,800,500,502,219,500,501,800,502,649,349,16,501,503,501,500,16,503,100,103,501,500,649,649,800,649,501,800,649,503,501,282,282,800,502,728,925,501,282,500,282,398,649,16,503,649,649,800,649,800,800,503,501,503,503,282,282,500,16,649,501,800,503,504,649,500,502,800,747,831,649,500,800,649,502,500,649,282,465,800,503,16,502,502,501,800,501,501,965,649,800,800,500,800,169,503,503,503,501,800,812,437,800,500,107,282,503,800,649,800,16,504,500,404,503,16,800,501,502,501,480,800,918,282,503,649,649,502,823,502,995,800,800,977,501,282,550,506,649,800,16,800,500,504,502,503,800,502,502,503,502,800,819,501,649,502,500,502,502,503,503,259,500,502,501,500,500,649,649,800,501,502,940,275,282,282,502,821,500,800,503,265,922,500,800,69,800,502,800,503,800,964,501,503,502,282,23,502,282,473,503,503,502,282,820,502,282,16,649,851,501,501,649,680,501,502,501,502,502,502,894,500,282,503,649,503,503,503,503,502,472,502,800,502,800,501,502,649,501,501,800,501,649,501,503,552,282,282,500,649,649,20,800,500,500,504,775,800,800,503,500,502,637,501,501,649,500,503,501,501,502,649,503,649,503,503,282,611,482,503,800,503,503,649,501,800,501,441,800,501,500,16,502,502,500,282,800,282,493,502,502,649,649,501,649,501,282,501,501,504,649,501,100,528,501,800,800,500,501,800,500,352,500,800,16,503,501,502,649,800,503,282,501,649,282,504,800,800,800,501,503,649,628,833,649,800,500,502,800,501,502,649,500,501,705,501,501,649,500,649,800,649,800,282,649,649,16,503,800,503,502,502,501,501,503,800,800,800,428,501,649,501,800,999,500,649,800,502,800,16,503,502,285,800,502,282,501,503,503,500,500,501,162,503,649,649,501,800,649,800,800,800,500,500,282,502,500,500,501,649,503,649,503,500,502,501,502,800,502,649,500,282,91,503,500,500,500,800,649,282,573,123,649,502,500,800,800,422,649,502,800,649,16,500,16,503,354,649,800,649,282,800,315,503,503,503,501,501,282,503,502,503,282,502,16,800,455,500,500,229,282,649,500,649,503,500,649,863,500,800,800,502,282,500,501,839,503,502,500,800,502,800,501,501,501,502,596,502,197,16,529,800,501,502,500,502,649,503,649,500,501,217,527,501,649,282,429,502,649,503,649,502,800,800,503,501,649,649,500,502,503,503,933,651,984,500,282,800,82,503,500,649,503,800,800,649,502,503,939,16,282,500,500,824,800,282,800,800,501,16,500,500,282,814,503,983,501,503,800,502,503,295,800,503,503,500,503,500,502,649,16,503,502,501,107,503,501,649,502,502,649,649,504,500,500,502,649,501,16,372,422,500,800,503,504,500,500,502,282,500,800,502,503,503,503,649,649,649,500,489,501,503,500,705,500,909,800,74,501,800,16,502,503,594,500,501,800,503,502,649,649,649,301,501,282,503,503,733,501,103,649,503,502,500,501,649,500,502,16,502,403,149,649,501,503,426,502,501,501,800,501,503,502,282,501,800,500,502,503,800,500,670,500,500,501,16,276,501,282,503,502,800,501,43,282,501,502,649,502,500,501,800,649,501,800,500,564,800,503,16,434,800,520,800,503,503,500,800,503,282,502,649,282,501,503,500,500,649,502,800,503,430,16,501,800,500,649,500,500,501,800,502,501,500,503,501,501,107,500,503,501,501,807,500,282,800,501,800,501,500,501,500,503,649,500,286,282,502,500,649,282,107,501,395,316,649,16,447,502,986,500,608,921,501,16,500,649,800,501,800,649,501,282,502,649,800,502,649,800,503,501,649,800,103,500,502,282,818,282,501,649,503,152,502,501,800,229,500,107,502,502,501,502,800,503,503,40,502,501,501,501,800,502,800,868,800,503,16,500,503,501,503,800,501,282,504,501,800,310,649,502,933,501,500,501,503,501,800,502,503,501,500,501,28,500,502,500,282,649,500,486,649,649,649,503,531,649,800,500,502,502,501,649,649,501,503,503,502,800,649,649,503,446,503,503,502,500,500,649,800,501,443,502,800,800,503,503,504,501,649,649,44,282,95,16,500,501,501,16,500,649,16,502,502,503,800,282,649,800,503,282,649,649,800,500,500,800,745,502,282,500,502,500,649,800,800,502,502,649,16,201,504,500,16,500,944,744,282,500,501,501,649,502,459,501,501,502,501,502,800,176,800,800,502,802,800,500,649,502,797,649,501,501,800,649,503,501,800,503,502,649,279,503,800,649,649,501,501,649,500,649,502,503,500,502,800,758,501,649,910,282,214,649,503,502,649,500,282,16,501,800,140,500,504,502,503,465,449,501,64,502,501,649,649,502,502,800,330,402,800,503,500,503,385,500,501,500,501,960,502,800,500,501,501,502,649,103,800,502,503,503,501,501,555,503,983,501,502,415,649,503,500,500,502,16,800,282,400,500,649,500,503,500,500,649,282,800,504,502,500,501,922,502,502,502,503,503,502,107,501,553,503,500,649,282,282,503,501,800,502,501,504,800,800,500,501,503,865,500,649,501,500,502,501,16,649,649,800,500,682,649,777,282,500,502,649,501,282,502,282,649,16,503,282,503,501,649,501,501,16,501,503,800,500,171,748,500,814,47,649,649,500,503,502,649,282,500,503,502,503,502,503,502,500,649,800,800,501,501,649,502,503,649,503,158,502,16,503,500,800,103,649,501,500,649,502,282,282,26,503,649,503,623,503,502,282,500,879,503,503,649,500,800,502,800,501,110,501,503,500,159,809,502,800,649,800,501,649,500,473,500,500,503,500,649,501,500,502,282,414,501,502,800,107,501,495,501,800,743,500,502,800,504,501,502,503,500,503,16,501,800,500,649,184,466,501,236,420,503,502,500,501,504,501,16,502,502,503,503,500,902,800,800,503,16,649,800,551,995,282,500,502,503,504,800,503,502,503,368,501,501,503,103,501,500,501,500,502,503,501,501,800,800,500,500,800,501,800,502,503,501,649,800,182,800,16,501,29,500,503,107,502,503,502,237,574,649,16,501,501,282,501,649,502,16,500,503,649,501,501,195,649,649,503,649,502,705,800,107,282,503,589,501,300,800,282,649,800,501,800,501,503,282,800,502,649,500,800,501,501,500,649,503,501,800,16,649,501,649,190,649,501,16,984,649,503,501,649,502,107,482,649,659,800,620,649,800,502,16,504,503,649,16,502,232,500,107,800,800,501,503,501,502,502,800,26,500,98,425,501,282,892,649,800,503,649,500,500,800,42,800,503,503,504,389,649,16,501,649,587,503,501,649,501,502,503,800,103,673,502,502,800,919,800,503,502,33,503,800,800,500,649,800,503,500,500,948,649,649,503,800,800,649,500,705,800,503,649,503,501,502,502,440,800,800,800,59,637,800,501,500,501,500,502,800,649,503,502,503,800,649,502,800,460,649,649,649,649,502,502,649,503,800,500,503,649,800,649,501,649,282,962,503,800,500,16,503,103,501,649,500,501,500,245,502,500,502,282,282,282,16,649,800,504,800,503,502,502,502,501,503,501,800,953,800,800,282,500,649,503,500,109,800,111,282,501,500,501,501,520,503,501,649,502,501,349,500,649,502,501,98,501,313,502,826,649,282,16,800,884,800,649,773,800,500,500,504,894,762,9,107,649,501,503,903,500,500,501,504,266,500,500,302,800,649,500,880,649,501,282,501,500,800,501,503,103,501,282,800,502,503,800,282,16,500,587,367,500,136,500,501,501,649,503,502,500,649,503,500,282,47,800,500,502,16,649,501,500,500,501,282,16,501,649,372,502,649,503,500,649,800,282,282,500,503,691,500,502,800,649,649,504,649,503,800,800,502,500,649,501,501,286,503,501,649,294,800,502,500,501,502,501,282,800,649,42,503,503,282,800,501,501,16,282,20,501,827,500,502,800,502,16,502,501,500,502,502,800,503,107,800,282,427,501,503,500,649,141,500,501,800,649,649,501,503,501,501,16,502,502,503,649,286,501,502,649,501,503,868,501,503,649,500,282,954,800,649,475,501,500,501,501,736,649,501,503,800,472,501,649,502,800,649,107,500,501,800,501,500,502,500,800,800,503,501,807,501,500,611,151,502,255,503,502,282,503,501,502,503,800,800,503,114,501,500,282,649,502,502,800,502,500,503,282,13,282,502,649,502,503,103,542,501,501,501,503,500,814,649,503,502,502,649,500,501,503,501,649,800,649,588,950,911,282,501,800,649,500,282,800,800,500,146,649,503,282,16,800,663,16,500,501,800,501,500,502,501,503,800,156,501,501,439,502,500,282,504,685,800,465,500,503,504,503,282,282,649,502,788,502,215,649,649,503,282,500,501,501,282,6,503,501,800,503,500,649,800,107,649,800,649,503,503,327,503,501,501,282,501,503,502,502,424,649,501,502,649,502,501,501,503,282,500,503,503,502,502,500,501,501,502,800,501,282,282,23,502,500,800,649,649,683,501,283,649,502,501,649,800,500,649,800,103,282,501,800,649,511,800,800,649,656,500,500,502,800,503,16,502,501,502,501,800,649,503,482,500,502,873,257,503,500,500,502,502,502,502,501,800,933,501,500,503,800,503,107,800,649,649,282,502,93,114,649,501,504,500,800,649,501,282,500,282,282,782,501,800,503,800,649,800,503,501,266,501,500,800,282,500,503,852,649,503,282,649,501,92,649,502,500,800,649,649,502,503,500,800,502,556,800,649,800,501,502,501,502,503,502,503,840,285,808,386,502,502,503,16,501,501,147,500,503,504,503,501,649,695,800,504,502,282,502,500,649,800,502,649,382,503,507,539,502,16,500,501,502,800,500,503,797,164,579,282,503,501,551,800,649,649,503,649,198,502,502,503,500,502,282,500,500,500,800,800,503,649,501,859,800,502,282,501,501,649,44,504,800,899,501,500,800,502,500,500,501,503,800,502,501,635,649,502,649,800,502,502,502,500,800,649,502,501,883,500,501,159,649,501,502,503,800,502,800,501,659,649,649,500,282,800,800,649,501,500,501,503,501,500,500,501,649,501,502,500,282,425,500,800,282,504,16,503,501,649,142,502,649,500,282,503,504,503,282,649,800,503,649,500,503,16,502,833,500,649,502,800,16,649,649,503,502,800,501,500,623,769,278,649,103,800,500,282,500,501,518,169,503,502,473,500,502,502,222,500,789,892,16,500,500,649,501,292,649,649,649,503,800,649,800,800,501,314,503,500,500,649,502,502,500,501,503,791,501,503,800,282,501,800,282,800,282,501,502,705,137,48,800,649,501,282,500,800,649,503,20,500,500,649,500,503,501,502,800,649,385,500,800,512,503,649,500,649,447,504,501,505,503,16,502,478,502,500,503,800,783,282,810,800,800,103,649,501,501,500,503,649,649,860,649,649,503,501,503,502,501,649,502,502,501,501,107,880,502,502,800,503,649,412,501,649,500,800,501,501,649,500,288,502,500,502,649,503,502,282,501,816,502,502,649,502,502,500,800,282,16,502,282,649,282,107,501,500,871,282,440,99,503,282,502,502,104,107,800,800,503,800,501,502,649,502,501,503,6,649,800,502,500,649,500,653,653,800,649,649,649,282,870,16,528,649,649,800,503,501,850,800,503,649,649,500,618,502,501,44,501,500,501,502,502,501,503,501,800,503,503,502,47,500,500,800,500,649,16,502,502,289,282,501,503,282,441,282,501,314,800,800,282,502,800,501,800,800,503,503,16,800,503,33,502,502,503,501,800,501,500,800,503,503,501,800,16,501,501,649,502,382,503,705,282,502,503,351,500,16,701,16,530,501,800,754,503,649,502,649,503,800,501,501,503,234,503,501,800,107,800,282,800,502,503,503,500,800,501,503,800,649,649,502,469,500,500,500,503,800,649,92,500,16,501,623,840,500,800,800,282,649,800,501,500,800,692,503,501,649,501,501,282,649,800,503,800,649,649,113,500,16,282,503,500,503,372,800,503,500,500,504,708,282,502,213,649,282,502,156,800,649,504,904,649,501,572,501,282,501,503,502,501,500,282,800,501,502,649,502,689,501,503,501,502,501,610,800,501,16,800,502,502,800,503,800,282,500,503,649,282,503,500,503,502,800,649,800,800,488,501,649,503,500,800,501,503,649,800,180,800,649,800,649,501,503,800,502,503,16,800,16,501,413,649,807,800,800,638,800,503,503,500,501,500,500,282,501,800,502,500,501,669,282,501,502,502,503,501,500,532,502,501,649,502,500,649,360,606,908,282,73,502,91,800,502,649,295,800,649,282,649,500,500,502,800,501,501,800,502,649,282,500,16,649,503,800,500,800,800,282,476,649,800,501,649,649,282,649,649,229,229,501,977,501,501,504,502,282,503,85,501,501,502,503,501,500,503,502,502,282,649,501,502,463,111,500,500,501,501,800,501,503,503,282,502,503,503,728,649,503,503,134,282,800,800,503,501,504,503,500,504,502,649,500,503,51,649,500,649,403,502,649,836,500,502,649,17,649,500,503,500,649,515,649,688,500,800,303,503,963,800,568,503,800,501,829,501,500,500,800,800,500,282,16,503,800,501,500,500,502,500,282,800,500,649,500,501,501,649,501,766,503,500,367,705,341,800,503,712,649,16,503,282,500,502,107,502,502,251,649,800,649,16,282,502,649,649,103,649,649,502,501,502,347,500,649,501,504,500,289,500,503,500,282,649,678,503,500,503,649,989,501,501,800,978,23,500,500,16,649,800,502,502,500,649,503,67,500,502,282,613,529,649,503,384,282,503,16,800,282,649,800,500,500,800,800,800,503,282,485,151,501,649,500,500,503,551,282,501,501,501,364,649,800,501,500,800,16,582,502,502,502,55,800,800,800,202,501,649,599,502,502,649,501,800,274,501,503,501,500,649,649,153,649,503,502,501,501,500,16,649,649,502,649,649,500,649,503,502,307,800,501,501,500,501,689,800,649,501,649,503,649,649,800,503,503,16,800,800,500,807,107,141,501,503,502,500,800,277,649,501,94,181,800,757,502,502,312,501,504,282,500,649,500,736,500,107,501,500,500,502,501,800,500,502,800,282,501,500,501,502,500,282,504,501,503,501,800,649,387,490,503,84,501,16,282,74,800,800,500,649,500,800,800,282,501,502,800,649,853,282,649,500,282,649,800,135,501,87,16,501,500,501,649,501,500,649,501,500,649,503,800,501,502,16,800,755,503,500,503,501,800,502,649,503,500,500,501,503,503,503,503,649,16,649,502,800,22,649,800,649,649,800,503,16,649,500,503,501,800,502,800,800,465,500,503,501,503,800,500,503,282,502,500,500,282,503,500,501,501,502,504,503,501,800,503,800,501,455,501,501,649,500,500,503,502,649,503,800,500,800,502,502,16,16,16,500,800,502,111,649,502,501,649,500,748,501,282,16,649,800,800,500,517,501,500,500,500,16,800,649,800,501,503,502,107,501,16,500,503,501,501,649,500,800,177,282,585,800,502,500,500,107,397,503,229,500,503,502,503,504,580,163,827,800,649,282,502,503,800,503,500,649,503,501,800,502,828,503,210,502,618,800,16,972,503,501,426,500,501,289,282,501,418,503,501,282,501,800,500,503,800,782,502,649,800,502,800,649,500,800,501,800,501,282,501,502,16,501,800,502,800,712,504,502,734,503,503,500,282,315,800,649,649,503,282,282,467,649,836,502,502,503,649,16,643,504,800,500,501,800,282,649,502,500,800,948,502,503,649,502,502,282,16,501,503,500,501,503,500,502,501,649,501,487,501,501,649,502,800,16,504,503,503,800,501,503,69,282,934,649,16,649,282,501,277,500,500,123,500,600,649,504,501,800,30,807,500,503,2,282,649,501,503,502,649,649,500,502,649,996,523,800,503,502,502,800,502,649,282,503,500,501,827,134,501,429,649,504,800,500,502,503,16,16,800,503,501,649,800,502,500,282,503,705,768,502,503,800,282,800,340,800,261,800,527,503,649,649,800,501,502,500,440,503,501,500,502,800,502,282,649,800,282,471,800,16,502,503,500,600,503,501,503,500,500,196,501,282,502,502,503,504,282,649,503,649,282,16,501,500,502,887,406,800,502,502,800,649,503,503,503,500,282,800,500,501,502,649,502,304,501,502,800,800,502,501,502,500,649,649,800,501,518,282,800,282,103,16,469,501,1000,501,502,503,585,114,927,502,500,501,500,501,800,500,800,649,504,500,800,500,501,501,500,203,690,500,502,500,649,503,649,208,503,649,282,649,501,500,500,501,800,503,502,503,798,80,649,502,649,649,649,486,107,502,501,16,649,265,501,500,840,109,282,503,500,403,800,642,649,503,502,649,103,158,16,265,800,22,500,502,502,336,502,800,16,503,500,502,649,800,369,502,502,649,991,501,649,501,649,500,649,649,800,500,501,800,500,502,503,501,282,245,282,502,501,800,503,503,503,501,501,502,503,503,800,384,649,503,502,501,73,504,501,500,502,503,502,503,16,500,501,500,503,800,502,501,500,502,800,649,500,500,503,502,800,501,800,503,504,800,502,800,282,282,504,501,20,807,502,800,800,503,649,995,501,800,282,649,502,503,649,500,503,500,500,649,649,500,282,502,501,501,649,503,503,502,16,502,800,282,282,800,838,503,500,107,80,160,800,649,503,16,501,501,800,503,649,496,458,282,502,503,649,771,649,705,503,649,16,800,740,500,800,503,282,503,282,502,649,501,649,649,503,502,649,503,503,649,800,800,188,502,282,503,649,500,800,500,502,502,503,282,16,501,282,501,282,649,501,649,800,800,502,504,800,649,501,800,502,107,502,500,501,649,500,501,649,999,800,247,16,692,16,503,503,503,649,503,800,198,800,800,502,649,280,758,502,503,649,282,502,649,649,501,800,536,180,503,500,502,501,775,500,502,502,500,800,500,282,649,442,503,220,830,500,501,503,649,649,668,649,649,822,501,151,800,500,500,649,601,384,649,503,500,800,500,503,323,282,102,282,649,502,500,500,501,408,331,503,500,502,282,800,845,800,501,559,502,667,500,16,649,500,502,800,500,503,502,502,800,503,649,800,649,502,649,500,503,501,503,547,282,800,501,649,282,503,500,501,649,197,501,504,845,932,501,500,503,503,688,649,501,282,290,800,501,503,501,500,800,800,501,649,500,649,502,503,649,800,501,501,649,502,501,800,503,103,522,365,938,503,107,649,107,500,649,504,502,674,503,503,500,884,800,500,502,500,502,998,998,800,800,502,282,500,502,501,502,870,649,502,800,502,800,282,282,800,360,800,800,800,503,579,16,773,800,282,134,502,345,282,500,503,501,282,504,16,282,503,501,500,649,503,649,800,649,649,501,800,85,502,666,503,502,501,503,501,800,649,503,3,502,690,504,501,800,502,501,500,16,16,649,282,503,649,107,282,725,503,19,500,502,282,503,708,286,800,649,837,502,502,787,501,282,664,501,503,503,226,568,800,503,282,502,282,500,501,501,503,561,501,502,800,501,991,649,500,501,282,282,503,503,500,501,502,500,9,649,800,16,500,282,800,282,501,500,501,502,16,515,502,282,503,551,503,946,800,753,502,501,500,287,504,800,502,649,458,185,282,501,501,500,649,800,698,501,503,800,502,649,649,800,501,596,502,500,680,500,502,107,649,282,649,282,649,505,502,282,500,800,502,502,195,636,42,500,502,232,500,282,501,501,800,16,502,500,649,353,396,503,800,503,501,884,649,649,649,503,501,16,800,800,800,16,800,16,500,503,282,593,282,502,800,636,282,649,9,800,501,502,800,70,500,502,503,103,800,620,206,501,502,503,800,500,70,502,649,500,501,649,502,502,800,16,503,649,500,649,501,649,649,282,502,414,282,282,646,649,800,501,500,649,800,513,649,503,500,674,504,500,503,191,581,501,282,504,500,649,649,500,107,282,800,649,501,500,503,503,502,502,800,911,502,16,502,504,649,503,282,103,502,503,500,502,501,503,800,500,649,16,16,487,500,800,502,500,504,503,501,800,16,269,503,440,500,502,504,649,16,500,503,649,502,800,649,649,800,503,800,534,503,502,500,500,501,501,501,649,800,800,800,500,502,705,500,282,649,500,500,800,500,649,649,649,26,500,501,800,502,649,800,501,282,502,504,649,503,500,309,500,16,413,16,800,500,514,501,983,282,503,390,651,502,504,503,164,282,489,16,800,649,501,800,503,502,649,503,503,500,501,503,800,503,649,16,800,800,501,649,501,502,649,649,503,501,16,501,771,649,282,940,501,16,500,698,501,282,502,649,800,502,649,500,501,502,800,500,502,772,649,282,579,502,800,800,800,501,649,393,502,800,503,502,503,103,649,800,502,16,503,649,282,501,649,500,502,800,501,800,502,800,503,503,649,500,800,504,502,649,103,282,501,501,800,501,502,661,502,500,649,501,502,500,500,503,503,282,501,87,800,501,649,282,649,501,649,649,501,107,500,500,501,426,500,502,502,375,500,282,501,501,500,501,991,503,501,502,472,503,649,649,503,501,500,503,502,500,193,282,800,649,649,502,503,520,500,649,800,282,649,504,501,502,232,800,800,282,800,800,800,800,913,800,800,800,649,502,501,649,503,800,649,282,500,502,282,800,502,800,703,502,649,649,500,612,501,500,423,649,503,501,501,502,649,649,500,502,920,649,500,932,501,107,504,582,107,501,592,500,800,501,504,800,649,500,504,502,282,800,501,500,502,501,16,800,516,501,688,649,502,502,129,502,503,649,282,649,503,501,500,800,501,500,502,800,800,503,649,649,649,503,501,504,800,800,800,503,503,503,503,503,501,501,649,500,500,503,500,649,800,705,503,500,503,649,649,649,501,649,500,500,649,705,649,501,800,504,649,503,501,584,649,501,501,503,649,500,481,800,16,500,503,282,500,500,313,504,649,501,500,501,618,649,501,504,500,649,501,282,649,501,877,144,501,500,503,501,902,501,649,503,800,503,503,800,501,500,502,500,530,282,649,501,196,807,500,502,800,500,649,500,500,500,503,800,501,503,800,832,649,502,504,503,500,649,138,502,749,326,282,346,806,502,282,502,500,606,500,282,503,503,649,503,20,787,503,503,649,503,502,639,800,503,412,501,800,500,500,501,384,501,500,705,502,503,282,800,800,800,282,800,649,282,800,500,282,502,501,503,649,501,35,800,649,501,282,503,800,107,282,502,649,503,503,502,649,502,800,500,504,502,501,389,649,800,502,249,451,800,649,501,649,501,502,800,502,500,282,502,502,649,963,504,800,503,503,502,501,502,503,500,502,500,503,282,500,503,502,800,107,649,649,800,649,500,649,282,500,501,649,500,500,502,808,501,501,503,500,502,16,282,532,800,501,800,649,282,500,282,649,500,649,504,502,502,282,16,502,800,503,501,149,503,649,22,649,800,500,502,282,649,500,282,501,195,649,501,502,501,649,566,800,501,503,780,800,502,800,418,800,503,500,500,501,649,503,699,16,501,800,503,503,500,501,503,117,503,800,501,504,503,417,282,503,502,503,500,503,503,800,501,370,502,282,502,282,299,503,500,501,501,452,501,16,800,212,502,502,552,503,500,649,500,282,649,649,280,500,501,127,590,503,31,800,690,503,649,501,396,649,800,800,282,503,649,502,502,282,500,504,282,501,502,503,649,501,502,835,503,534,16,500,649,800,503,500,501,500,501,800,662,503,609,800,16,500,500,501,501,500,16,500,502,500,800,500,800,670,649,502,503,800,282,501,800,800,800,503,410,800,501,800,16,503,800,649,80,16,800,649,16,324,503,649,800,502,800,503,16,649,800,649,503,501,502,182,501,503,282,500,107,800,500,282,649,500,968,502,282,800,500,502,649,455,16,501,502,503,282,502,500,501,500,503,649,649,644,649,503,649,282,502,500,500,501,503,501,502,503,515,649,800,800,503,501,504,500,800,501,501,502,107,501,264,16,649,649,501,500,682,412,649,500,282,502,649,800,282,502,800,108,500,725,340,281,503,502,800,161,649,559,282,16,503,800,107,501,501,503,649,800,501,502,712,500,501,649,282,500,500,501,800,700,501,501,502,800,649,500,282,450,502,801,62,18,500,500,501,800,947,800,362,503,503,800,800,649,500,800,800,800,55,973,501,796,66,649,16,503,649,810,649,649,503,503,649,649,502,500,503,800,501,500,643,163,282,502,504,16,649,785,500,500,500,649,107,503,500,501,282,282,502,800,502,502,800,502,800,501,501,800,501,250,649,501,502,503,500,503,305,282,502,800,693,649,649,503,865,500,287,501,800,702,800,649,649,501,500,501,282,502,249,282,282,501,649,800,502,502,649,503,501,649,800,502,503,502,800,503,800,500,500,649,503,911,858,501,501,384,503,282,800,800,501,800,736,501,500,503,800,800,501,501,282,501,500,502,649,275,500,800,274,649,500,500,800,502,502,16,649,503,502,502,16,500,504,649,502,501,753,501,500,753,240,500,15,501,500,800,221,500,800,500,800,16,503,800,282,502,502,502,500,501,408,800,504,504,11,16,500,501,503,16,503,509,649,800,980,649,503,16,501,443,649,282,503,800,649,800,502,501,847,504,800,800,502,651,800,649,370,298,800,649,282,503,203,500,800,502,957,501,501,502,502,502,502,504,502,20,282,500,826,800,800,503,462,42,501,501,502,500,500,503,649,800,16,359,502,503,649,500,260,971,501,500,649,26,501,800,501,282,649,501,503,500,16,800,501,502,16,500,503,502,501,503,649,501,501,502,502,800,500,171,502,800,649,299,406,649,476,501,649,502,800,649,800,501,649,500,649,502,502,501,502,501,501,502,933,27,502,502,800,800,16,897,103,503,16,502,500,800,503,800,502,282,649,500,141,503,504,800,503,393,300,502,16,501,502,503,800,501,649,501,500,649,800,649,500,502,649,16,500,503,16,502,800,503,502,504,800,649,500,800,503,343,500,503,500,502,500,649,501,502,800,503,649,502,800,649,16,142,16,502,649,800,759,800,503,500,501,502,501,501,500,282,503,501,800,800,606,503,800,500,649,800,282,500,501,500,503,500,282,649,800,484,649,503,649,503,501,649,502,501,800,649,820,500,501,503,319,501,800,503,282,504,500,503,501,649,649,16,503,501,500,502,503,502,800,503,502,800,800,649,500,500,502,502,502,107,649,502,262,282,500,16,502,502,500,117,649,503,500,501,500,501,649,503,500,16,16,500,800,800,84,501,649,503,725,282,502,500,649,500,500,16,985,649,504,800,16,502,800,388,500,649,502,502,502,258,502,260,800,502,501,776,500,800,16,800,500,800,502,282,800,800,945,649,800,502,649,503,800,649,502,501,785,501,800,800,500,282,16,801,502,800,500,282,705,503,500,500,503,282,282,503,520,500,545,649,503,500,800,649,649,800,649,503,501,800,504,430,502,501,503,107,502,502,16,282,78,501,994,16,500,503,503,151,741,503,344,500,503,501,282,503,800,504,282,848,500,503,500,817,866,466,500,501,503,503,282,503,501,282,500,501,501,649,502,799,503,500,502,649,649,500,502,441,503,16,500,500,800,501,282,587,16,503,500,501,44,282,504,800,282,500,501,501,16,501,649,502,500,649,16,282,785,501,503,802,500,501,649,282,649,800,502,282,267,502,800,649,502,501,500,800,16,500,500,500,503,493,282,800,282,560,800,502,502,800,503,282,203,502,282,502,800,417,26,500,16,282,649,649,282,649,919,501,16,727,502,800,503,649,501,800,502,500,501,501,282,16,500,710,501,649,649,503,649,503,501,282,502,501,649,282,649,502,282,554,649,504,500,502,16,501,502,502,800,800,282,649,502,800,502,500,834,16,502,502,442,282,500,503,500,502,501,503,500,501,500,155,500,501,502,501,16,649,502,649,503,16,504,800,649,4,943,503,502,282,503,107,502,500,649,500,830,502,800,501,649,16,250,800,649,568,500,503,502,503,500,282,282,503,500,501,282,649,282,649,501,500,800,501,16,502,501,800,502,282,16,800,16,502,503,501,503,393,800,800,501,649,800,16,503,503,501,503,800,649,503,503,501,500,502,800,502,474,949,16,500,500,502,501,502,500,800,500,649,500,649,500,503,282,649,800,649,503,501,16,503,500,649,502,502,330,649,800,500,16,503,502,282,502,503,800,501,500,649,502,500,649,502,800,649,800,503,649,649,103,500,503,501,282,503,16,503,501,103,503,501,649,501,800,501,827,769,697,503,503,282,800,800,502,501,501,649,649,500,16,360,117,503,501,502,800,500,503,501,974,501,649,800,501,502,503,800,500,800,649,816,16,502,502,502,501,500,209,502,500,416,997,500,501,503,16,800,16,282,891,800,500,502,649,500,649,16,502,502,503,649,649,282,502,469,502,282,502,501,502,800,800,687,503,155,282,799,503,501,800,503,502,500,800,503,649,501,503,282,345,637,282,649,800,800,502,500,503,649,500,501,500,501,503,501,16,501,500,282,501,502,502,649,100,107,16,500,501,16,800,500,503,16,503,800,501,282,850,563,16,501,16,500,503,649,800,503,501,501,502,282,502,649,93,16,500,649,500,649,656,800,282,503,649,16,502,16,160,501,500,800,502,800,649,501,768,649,800,503,265,500,912,503,503,800,449,800,504,800,830,501,503,353,705,282,649,649,500,649,501,876,282,501,501,500,649,713,282,503,501,500,16,282,501,649,500,500,282,501,504,649,503,503,502,800,502,502,502,502,800,500,500,504,649,500,501,500,16,800,503,800,991,649,501,800,717,800,282,500,649,503,800,500,500,502,172,970,800,809,282,649,501,649,502,376,800,800,649,98,501,800,503,800,282,501,501,16,502,503,501,666,502,282,800,282,502,649,253,16,107,502,501,500,800,979,500,503,500,144,503,649,800,800,649,502,367,996,503,502,906,503,503,503,502,649,800,503,500,282,501,500,663,503,504,800,282,503,503,800,501,800,372,800,800,501,502,446,103,16,500,39,501,800,649,500,649,398,649,501,800,503,503,800,501,649,500,300,501,649,282,800,503,502,503,500,500,649,16,501,501,800,649,649,500,502,503,49,501,500,800,649,39,282,282,100,649,503,282,500,500,138,501,501,16,282,500,502,503,800,255,649,503,502,503,500,447,432,500,282,502,502,500,503,800,649,282,503,503,649,283,649,17,800,502,500,502,649,503,501,993,502,503,917,503,649,501,800,501,649,685,649,502,503,649,501,16,502,800,800,504,503,502,649,800,282,502,501,503,800,649,501,502,60,502,500,933,103,503,768,800,502,503,500,649,16,502,500,800,499,800,501,986,500,500,503,503,502,502,800,503,501,16,766,500,800,978,500,705,501,800,649,800,500,649,503,503,649,416,282,501,501,500,500,16,501,503,800,500,532,800,800,503,16,649,531,800,16,800,500,502,502,500,502,503,800,800,503,501,501,501,649,243,500,502,500,502,502,800,800,256,883,800,500,500,501,282,502,500,502,501,649,500,502,649,502,500,503,502,649,502,649,649,503,503,503,503,502,501,16,502,504,499,503,500,36,500,500,282,500,503,210,955,282,503,502,649,113,800,282,282,649,502,502,503,503,282,501,800,501,511,16,503,800,172,800,503,282,500,500,501,503,649,501,436,502,282,694,913,800,504,649,800,36,282,502,502,502,282,282,500,500,501,282,531,501,501,503,649,500,500,500,16,503,502,649,500,502,501,503,503,16,800,449,502,501,837,503,16,649,649,502,502,502,502,502,503,502,649,503,282,501,500,800,503,501,800,503,504,501,502,500,502,649,649,649,800,503,501,282,500,503,800,501,502,800,800,282,500,503,503,649,322,800,800,649,107,160,649,649,501,502,649,19,503,62,800,501,501,500,503,649,503,800,773,503,501,282,230,649,649,649,649,282,670,800,503,925,800,503,501,503,800,502,500,800,31,502,500,800,502,502,649,500,770,800,835,501,226,800,649,649,649,800,501,503,800,282,501,501,501,800,649,800,503,501,503,502,800,928,502,800,705,649,500,800,315,500,16,503,500,504,502,503,155,500,649,282,503,501,800,24,502,503,787,503,501,500,503,800,282,800,649,501,282,500,503,800,501,502,16,800,500,500,282,435,800,500,649,500,16,16,501,503,503,800,502,107,16,800,649,501,282,500,107,504,649,706,800,502,501,502,686,503,500,502,503,800,504,800,904,502,500,504,812,873,800,504,500,731,800,502,107,282,500,500,649,503,503,282,500,502,601,500,649,500,502,500,800,171,500,500,500,16,503,800,103,649,131,982,282,87,649,500,649,800,282,718,501,501,282,282,16,502,800,800,500,501,503,503,503,649,800,503,800,502,503,691,649,800,800,582,502,502,502,501,282,503,162,503,500,500,800,649,503,502,800,282,377,279,501,501,800,500,500,503,577,502,380,502,502,649,282,800,502,502,800,501,282,9,503,282,931,503,649,502,502,800,502,800,500,502,500,578,504,800,800,282,503,328,500,800,502,501,502,282,282,501,306,500,503,800,500,500,503,800,501,649,503,500,501,649,607,501,501,533,500,800,501,800,503,282,500,500,589,502,16,500,501,649,21,800,800,282,500,501,313,649,500,503,178,649,501,501,500,500,649,16,800,714,500,800,649,500,504,501,649,501,500,282,500,16,501,503,500,649,357,501,649,503,800,500,502,649,503,282,649,502,501,705,357,800,800,800,649,503,649,649,500,503,502,649,501,442,501,503,801,503,500,502,649,800,604,30,502,500,502,503,503,500,501,503,364,16,594,502,500,502,800,282,862,500,501,649,282,501,282,699,126,503,107,75,27,282,501,800,502,500,501,501,800,800,800,500,538,649,107,502,282,655,800,649,800,502,800,502,504,800,364,500,500,939,800,502,503,502,800,502,503,500,107,16,800,502,502,502,16,282,500,800,501,501,501,695,16,500,501,649,500,649,500,16,800,500,503,502,282,504,504,800,107,282,800,502,501,503,503,800,800,502,500,503,503,502,282,16,16,501,800,503,501,500,502,107,500,16,800,800,649,282,282,503,800,282,282,571,501,649,282,502,800,800,800,107,103,503,502,649,376,973,503,500,502,800,764,800,502,296,501,820,501,502,16,882,500,490,500,501,348,503,503,282,501,16,501,500,501,649,500,649,500,800,649,649,502,502,502,800,500,816,800,503,800,502,649,800,800,500,649,501,501,282,649,502,502,16,133,502,502,649,501,282,800,502,103,504,504,282,649,282,16,501,500,500,500,501,800,800,649,503,500,261,501,501,500,501,16,986,503,500,282,274,649,501,584,800,705,649,3,501,234,16,501,503,282,503,500,503,501,501,500,502,500,500,103,501,500,649,500,503,800,282,800,16,502,800,800,502,501,649,649,800,329,649,63,501,800,800,501,282,501,649,502,100,892,282,502,502,500,800,500,501,502,705,503,800,500,398,501,700,500,500,411,282,16,500,503,500,282,282,800,485,649,503,274,503,502,503,503,501,836,282,800,501,502,502,800,502,800,649,649,159,502,649,503,502,503,501,103,404,649,503,649,500,107,800,500,500,500,800,649,649,500,800,502,554,500,500,503,501,799,501,800,282,500,649,501,649,649,52,502,502,755,502,502,800,503,800,502,503,503,500,282,16,649,649,649,69,502,282,282,649,500,502,282,503,500,502,501,503,800,500,503,501,800,282,282,502,649,502,502,649,502,16,502,800,16,500,800,282,800,16,500,504,800,500,800,500,501,502,500,501,649,389,500,500,282,800,800,502,503,504,501,800,800,502,282,503,501,800,501,705,503,503,800,501,649,502,649,649,649,501,500,501,502,746,501,500,649,61,800,502,800,507,500,500,503,412,649,503,502,16,800,500,500,500,502,503,502,501,282,649,503,649,503,502,800,500,282,649,500,753,56,649,501,800,282,502,282,501,500,319,748,503,502,800,502,800,649,500,832,502,107,955,501,978,501,501,800,504,800,502,800,649,502,503,501,16,574,500,800,721,282,800,208,503,282,502,504,77,500,649,502,503,501,501,800,501,800,649,501,501,649,500,500,800,500,549,813,502,403,800,735,458,800,649,649,502,800,800,800,800,500,282,800,501,745,649,502,503,649,800,729,502,16,800,282,16,500,800,500,282,800,500,649,502,262,504,649,16,800,649,501,282,503,800,649,500,502,445,503,800,500,502,111,800,500,502,501,502,503,800,340,503,800,504,649,107,501,828,501,90,502,500,649,504,502,503,282,503,204,500,649,503,800,560,800,800,198,500,800,503,800,800,282,500,501,500,80,501,502,500,282,503,649,503,502,501,500,503,16,282,800,449,502,16,800,911,800,776,500,501,800,368,997,502,503,503,500,501,502,649,282,728,282,800,649,100,501,502,800,500,282,483,502,504,504,282,502,502,501,982,503,500,945,504,16,534,502,800,107,503,502,503,282,501,649,112,503,282,500,250,800,528,102,502,649,870,503,649,282,500,503,501,649,503,482,500,103,500,800,502,863,503,503,500,502,282,502,87,502,649,282,501,443,282,800,282,502,282,714,502,282,649,501,500,500,604,504,501,800,500,307,504,501,502,501,649,103,282,800,282,607,980,500,800,649,503,282,500,309,800,501,649,503,571,503,800,16,16,800,282,502,800,501,80,500,944,800,42,800,705,504,501,501,502,649,282,502,282,500,649,500,503,649,800,502,502,800,282,503,282,108,500,800,282,502,501,502,282,501,503,502,504,500,504,500,282,503,501,500,649,503,649,282,649,649,282,519,502,800,501,800,649,16,16,282,502,502,649,501,500,800,800,502,503,501,502,16,649,649,408,502,649,800,502,800,501,649,282,282,649,502,800,81,503,282,282,196,454,215,107,502,502,649,800,503,502,800,282,501,502,282,649,503,502,800,16,502,502,649,503,649,800,800,501,503,500,649,282,107,500,502,502,282,502,800,501,500,282,729,800,501,649,800,16,800,649,16,500,500,500,800,503,800,501,502,16,501,500,502,501,502,282,800,501,800,800,500,502,500,503,649,500,162,503,502,282,500,500,800,502,16,502,502,800,501,573,503,282,127,584,502,788,501,649,500,800,502,504,649,800,504,800,800,500,502,649,503,649,951,500,800,503,16,503,501,502,185,501,800,800,503,502,800,800,502,107,649,645,649,500,502,504,800,649,500,502,483,502,500,500,9,282,103,503,116,500,501,16,501,503,649,16,282,800,501,503,503,502,500,502,282,800,502,502,800,501,16,503,502,504,676,711,560,587,502,502,502,502,503,282,16,16,800,862,800,95,800,800,501,502,503,800,500,502,502,501,501,800,501,771,502,800,16,800,800,800,501,185,503,649,649,500,503,501,282,574,282,649,503,131,800,367,16,261,500,502,649,503,800,500,649,500,500,501,800,501,503,503,500,649,501,649,501,649,800,16,649,501,397,282,503,800,282,649,842,503,282,649,502,503,500,395,649,16,16,800,800,800,649,501,649,500,623,282,503,800,649,282,800,649,16,500,847,503,800,649,503,322,103,977,282,649,500,501,500,649,16,729,500,500,502,800,503,502,913,502,503,503,16,503,500,502,501,107,800,504,316,502,800,172,503,856,649,800,503,282,502,800,282,282,282,282,800,502,502,395,649,800,500,800,153,800,649,503,503,500,502,649,500,502,502,503,500,16,501,649,231,501,504,560,435,502,501,501,153,282,502,282,649,501,649,501,502,503,800,103,16,266,500,504,500,282,649,16,649,500,649,800,500,800,500,649,282,16,800,673,282,503,282,502,16,503,501,800,503,502,800,501,503,501,414,502,501,500,501,78,535,800,649,43,103,503,649,282,502,503,500,503,501,649,202,501,649,501,800,649,500,502,503,501,503,52,800,800,503,501,501,282,649,501,503,282,649,649,380,649,121,501,431,503,501,502,500,503,502,503,503,500,500,501,501,882,133,282,500,503,16,502,719,501,800,503,830,500,800,103,282,500,800,503,800,488,501,502,711,649,800,503,649,649,355,500,800,503,800,504,649,282,716,664,501,103,649,282,503,282,50,334,800,500,503,502,500,502,501,844,282,282,800,151,502,282,504,500,649,282,502,503,501,649,502,501,501,649,501,800,227,800,16,503,530,282,649,800,649,502,502,500,800,800,501,649,500,500,501,800,649,501,282,649,500,800,800,282,502,501,649,16,502,985,500,1,282,503,502,501,501,649,501,649,107,500,109,503,501,649,289,502,16,503,282,282,501,649,800,800,800,649,800,536,282,502,282,502,190,503,500,282,502,800,800,501,800,502,16,16,500,501,502,502,500,501,500,501,306,353,503,502,503,500,800,282,16,800,503,649,800,122,503,500,694,502,503,800,500,282,649,503,649,649,800,16,500,503,16,501,500,502,501,121,503,504,800,800,502,273,649,501,503,800,500,282,800,501,649,502,282,503,282,649,649,800,503,500,502,800,800,800,502,705,501,501,107,800,282,501,502,78,282,503,649,502,502,501,503,502,800,500,112,649,502,503,502,571,502,503,500,500,502,677,503,649,800,503,800,800,502,985,649,502,503,800,503,107,503,501,502,800,107,501,500,502,501,649,785,502,282,503,607,501,502,501,977,502,503,649,800,501,502,800,502,800,705,369,649,282,502,501,753,800,501,282,500,649,16,800,649,464,282,800,500,503,282,16,500,282,504,649,502,649,500,501,503,282,800,503,155,501,180,800,502,800,503,800,501,800,503,21,500,503,800,503,800,396,500,282,282,649,501,743,503,502,649,16,501,16,282,800,649,502,58,502,649,800,503,500,500,16,504,282,800,188,500,503,503,800,699,649,649,728,503,649,501,502,500,502,800,800,500,502,501,282,500,501,503,310,500,167,503,534,501,649,649,503,800,500,341,501,649,500,649,503,503,503,943,649,649,501,800,503,502,501,103,282,502,238,500,500,500,973,501,500,649,501,501,649,641,502,178,501,16,16,500,501,500,503,273,500,28,16,649,28,649,500,649,500,649,503,60,40,876,800,501,503,502,282,501,800,649,502,800,501,501,500,501,500,503,503,282,800,502,504,500,503,502,800,503,426,282,723,800,282,16,282,72,282,500,503,500,649,282,16,282,800,16,502,649,649,503,503,649,502,16,501,282,800,139,501,503,131,500,500,649,503,503,500,500,501,501,211,800,503,649,800,649,649,800,800,649,800,501,501,282,500,109,800,500,800,649,504,502,705,503,878,282,16,800,500,500,503,500,232,500,649,800,503,649,800,282,502,16,351,897,282,649,649,16,502,466,503,502,503,502,282,605,800,800,282,13,800,649,503,800,502,501,282,800,282,800,501,282,800,16,501,649,282,501,16,649,502,500,502,500,649,500,501,502,501,503,500,502,649,800,527,649,502,353,520,649,649,649,502,800,501,919,502,502,282,501,800,502,800,800,316,502,800,501,501,503,230,282,504,503,800,649,649,800,502,282,500,280,503,189,455,501,800,501,500,649,501,800,502,282,705,503,500,282,500,800,501,282,649,649,500,16,800,500,649,917,500,500,649,501,478,649,503,649,503,502,503,800,199,502,501,503,502,500,649,233,503,800,502,500,800,800,649,649,503,501,502,738,503,814,502,630,500,502,282,800,503,500,649,501,502,107,502,501,502,20,500,501,16,800,649,849,502,503,16,501,500,500,649,503,502,263,800,500,800,500,282,800,500,107,504,649,500,502,800,800,662,706,502,282,16,649,800,502,800,500,649,800,503,501,783,93,267,501,503,800,282,16,649,503,800,800,282,503,282,502,766,996,502,501,649,500,103,502,504,502,282,282,503,500,884,503,631,500,771,503,501,501,282,649,800,501,504,649,649,675,501,84,864,502,134,649,502,500,501,16,501,503,503,835,501,800,649,282,282,800,800,502,500,800,501,502,846,649,503,800,501,501,894,282,807,501,649,16,502,502,500,501,282,244,502,649,502,500,814,502,502,500,502,16,502,502,649,800,501,500,800,501,500,800,501,107,111,502,500,503,503,800,502,291,503,501,800,16,800,412,502,501,649,500,501,800,502,500,503,282,503,500,504,719,502,282,16,500,605,800,800,800,800,209,649,501,502,501,800,103,282,282,503,501,501,107,800,282,504,503,500,500,800,752,500,649,501,500,649,282,503,800,405,501,502,533,800,503,800,501,282,649,542,282,500,649,649,503,503,501,502,501,800,800,500,503,503,503,501,800,503,800,482,502,649,502,649,501,503,501,500,649,649,501,649,649,800,503,501,503,282,282,503,500,282,649,500,933,649,282,649,16,503,800,500,500,500,501,282,503,707,649,800,503,565,502,800,502,500,500,502,282,800,501,16,500,502,502,967,800,103,800,282,500,502,500,501,282,800,16,800,800,649,503,16,500,800,500,282,448,800,501,501,502,800,501,503,800,649,500,500,501,307,501,16,649,649,502,503,16,48,649,502,504,800,502,649,502,500,649,503,500,503,649,800,649,806,501,501,205,502,504,503,502,649,693,800,503,502,649,649,500,282,503,666,649,840,649,250,503,282,502,539,851,800,500,649,500,500,827,282,800,502,501,649,500,649,800,649,502,306,800,504,16,502,282,800,503,500,800,800,800,483,282,503,16,800,73,800,503,501,501,503,649,500,121,282,800,107,800,649,16,503,282,649,800,503,502,502,282,502,501,800,501,501,16,504,649,649,503,500,501,107,103,500,800,500,348,503,503,501,282,500,282,503,16,501,501,16,649,502,649,649,501,503,649,649,503,501,503,771,500,503,800,502,500,800,575,800,282,501,202,16,501,800,649,339,282,762,503,501,938,649,502,503,649,500,107,800,800,649,372,500,501,482,500,500,503,501,745,503,500,800,800,500,16,800,800,501,501,282,502,501,500,503,800,503,736,501,501,705,501,800,800,500,800,282,501,504,24,500,282,503,503,16,649,501,503,800,282,503,501,501,961,609,502,504,16,500,649,501,649,503,501,501,426,503,649,501,634,749,649,501,500,954,282,649,502,16,502,800,649,500,282,800,501,503,500,800,282,503,928,102,800,179,705,649,800,649,16,649,500,503,503,800,503,800,333,502,20,500,649,282,500,165,501,500,282,649,649,500,500,503,502,16,500,502,503,500,754,504,800,501,500,282,503,938,503,500,107,501,16,501,649,502,503,501,500,958,501,800,800,500,501,501,502,504,500,504,282,131,500,800,800,500,502,282,500,16,649,503,502,800,500,504,500,503,500,503,909,646,282,800,503,503,501,501,503,503,800,800,800,282,800,282,800,500,639,800,503,800,16,282,393,819,501,603,800,503,800,502,521,729,500,649,649,649,16,357,800,502,16,501,502,503,500,473,503,501,237,649,784,800,500,649,503,32,16,503,649,500,500,800,503,282,649,500,649,649,409,501,649,500,503,16,500,500,503,503,502,800,501,501,503,800,504,500,800,649,800,501,800,503,502,503,649,16,649,500,282,503,406,649,501,800,696,107,800,501,502,282,800,238,800,500,502,649,333,503,103,501,800,153,800,392,282,16,282,501,282,503,800,368,503,500,443,282,500,800,502,282,501,500,138,800,502,649,80,503,500,502,611,282,800,502,282,649,500,501,500,502,800,282,500,800,501,502,500,500,503,800,502,649,800,503,500,503,503,500,500,777,503,800,501,60,800,800,16,16,502,534,501,800,649,501,649,656,503,500,502,501,501,800,502,501,501,501,503,503,649,809,501,500,800,500,800,501,282,501,282,502,649,500,259,800,553,649,649,502,282,503,501,503,630,502,503,501,502,800,59,800,502,649,965,800,16,503,649,649,282,182,503,500,502,629,502,16,649,373,500,500,649,800,500,800,500,501,649,501,800,501,705,16,282,282,108,107,800,649,502,501,503,502,107,580,500,501,699,500,502,282,159,503,500,503,649,503,501,500,502,500,649,649,503,800,649,501,503,500,722,501,503,425,649,800,649,8,502,502,282,501,800,800,348,501,649,810,649,501,500,502,501,502,649,502,503,503,758,282,500,503,800,500,501,649,649,282,596,503,654,282,501,800,282,282,282,282,649,503,500,502,649,800,501,504,500,282,282,501,503,996,503,503,501,500,642,800,501,503,620,502,503,501,501,482,503,501,500,399,66,800,16,500,800,649,503,648,282,500,649,502,282,502,687,800,503,500,649,649,800,501,502,649,78,500,500,394,502,33,501,370,503,501,164,800,500,503,649,635,444,502,500,649,502,800,501,16,501,503,800,501,51,500,500,190,500,800,500,649,502,503,501,282,502,500,500,501,503,800,800,977,500,503,588,953,282,800,649,501,503,502,503,502,327,154,282,501,649,282,649,501,800,501,649,500,593,503,503,503,895,649,502,233,16,503,866,500,282,500,71,649,282,649,504,282,502,800,282,504,16,748,16,500,501,503,503,649,501,800,501,501,586,500,649,500,501,800,500,107,649,503,501,500,649,502,501,282,500,503,654,800,502,500,800,800,649,800,503,649,500,800,282,599,800,503,276,502,799,503,800,804,16,800,500,800,502,16,800,800,282,107,800,800,502,340,500,399,500,282,649,503,501,369,135,927,582,800,501,649,501,282,649,649,649,754,503,800,649,501,649,649,503,502,502,649,649,503,800,649,308,282,649,502,800,503,503,800,649,649,800,441,869,500,502,503,103,800,107,502,800,107,501,649,503,649,800,649,16,800,500,500,649,649,503,649,649,649,500,649,800,800,649,500,502,833,502,501,503,649,800,649,503,500,503,282,282,500,502,503,500,503,649,16,501,282,282,501,16,503,502,500,736,649,501,501,501,500,800,503,501,500,16,103,496,282,282,649,800,501,16,504,497,649,501,522,500,501,502,567,502,950,307,503,800,16,488,800,282,503,501,501,503,503,649,500,501,503,865,282,282,800,16,800,649,502,503,501,172,800,649,800,502,503,800,503,501,107,649,501,502,649,774,502,501,500,649,503,649,501,501,632,436,500,282,502,501,705,800,390,282,501,107,503,649,649,503,800,500,500,16,859,359,649,16,500,503,502,503,649,500,500,282,282,649,501,800,503,282,502,11,500,878,501,503,502,16,207,800,282,503,501,502,503,502,67,503,501,649,500,282,282,800,800,500,503,282,503,976,641,503,780,899,501,503,501,502,649,501,502,500,502,800,503,502,675,503,107,500,800,16,800,500,500,502,649,501,502,502,501,16,502,500,502,503,649,942,800,502,502,649,500,800,501,800,502,282,282,649,16,502,500,282,800,488,473,649,282,645,493,800,503,339,649,502,502,800,282,503,800,800,500,282,503,500,282,503,800,502,800,800,500,352,503,502,500,282,483,649,501,501,649,502,282,800,800,749,500,500,503,501,235,282,502,358,501,503,500,501,595,800,504,501,282,501,500,649,503,282,282,502,282,599,16,282,501,503,502,503,630,500,649,503,502,504,961,500,572,503,107,800,649,501,649,503,16,501,800,501,649,142,502,649,800,800,500,800,649,282,501,501,501,500,500,649,316,506,503,501,800,282,500,957,500,800,649,503,500,649,503,501,432,649,649,870,502,501,503,500,282,501,503,775,282,649,502,884,800,503,503,503,800,649,282,800,501,799,502,347,503,586,800,501,16,282,800,716,649,800,477,649,800,649,503,58,839,503,282,282,800,503,340,16,649,502,750,501,503,503,370,649,503,282,800,503,501,500,500,800,800,501,502,502,16,649,649,594,800,282,502,503,107,503,500,442,500,503,16,16,16,800,264,502,501,282,501,500,504,503,16,503,649,649,502,501,649,501,501,502,800,403,502,503,211,500,16,800,500,666,649,491,501,503,800,501,993,282,501,501,500,503,862,800,501,16,282,800,502,800,282,503,800,504,502,282,501,649,905,800,800,649,500,649,800,649,649,16,649,649,649,491,502,800,502,501,282,16,501,759,649,282,503,195,501,649,800,502,501,723,424,282,501,649,504,500,503,745,800,282,649,502,994,501,501,972,282,649,800,500,282,503,500,500,649,649,501,501,501,282,800,501,500,800,800,503,502,649,502,282,500,504,107,500,800,501,282,502,282,891,500,800,815,649,16,800,16,649,500,282,800,649,503,500,282,800,500,501,800,649,649,500,502,503,800,649,501,503,800,501,501,961,15,282,500,649,649,220,503,800,800,800,800,501,503,502,807,502,503,282,800,800,502,500,191,503,103,323,500,800,596,501,394,276,800,502,502,501,500,251,800,502,842,118,198,282,503,800,811,541,649,504,503,800,800,16,589,649,339,502,225,502,500,282,501,800,649,800,501,501,502,968,800,502,107,282,649,800,500,503,282,501,800,800,649,501,501,800,802,502,282,501,500,800,500,16,800,800,371,503,800,112,502,482,649,502,800,800,800,504,282,502,657,502,231,800,282,502,800,504,500,649,502,501,214,649,503,500,16,501,500,500,16,800,649,503,336,503,501,266,800,503,800,705,503,503,502,282,800,800,649,649,502,501,649,503,107,649,501,502,500,4,502,501,800,500,502,501,500,139,649,501,500,649,649,820,500,501,502,556,500,209,911,649,270,107,500,800,800,649,800,425,501,501,134,502,500,503,649,500,503,441,502,800,500,503,649,501,500,16,176,800,649,503,501,502,504,500,800,500,800,501,649,502,800,503,649,282,800,500,500,500,649,503,502,800,678,502,500,502,649,800,500,649,500,991,501,738,500,639,800,502,504,503,285,503,501,649,649,282,502,649,649,501,503,503,501,649,501,800,500,800,503,796,501,500,501,800,649,649,503,341,800,282,500,649,649,800,649,500,386,339,603,993,282,500,890,502,649,649,501,502,503,501,502,503,501,503,502,500,501,500,649,503,501,649,800,501,207,16,393,504,800,158,282,705,209,502,800,800,501,501,327,760,649,649,500,800,800,800,502,16,800,649,649,500,929,282,949,501,500,503,649,500,800,161,800,502,501,800,16,649,503,800,501,16,649,644,649,649,800,649,16,501,504,501,16,502,503,502,502,16,502,705,500,217,500,501,800,502,758,800,502,500,282,502,282,503,502,500,501,500,282,649,504,830,502,161,649,502,503,501,501,501,800,504,500,503,800,503,644,800,501,500,649,800,782,503,500,501,800,502,500,865,800,502,813,501,103,503,800,503,649,502,800,502,502,505,649,503,500,502,500,282,501,16,502,282,503,800,274,503,502,500,899,500,503,501,503,503,903,502,503,800,503,500,800,501,503,501,503,649,500,503,504,800,500,377,425,501,501,501,504,501,282,501,501,500,503,500,501,16,282,282,500,800,501,16,500,282,16,282,649,501,649,502,500,502,800,16,500,491,649,503,503,282,500,504,282,501,500,500,649,502,800,282,625,807,649,503,282,500,500,649,501,503,503,161,282,500,649,502,503,649,503,800,503,503,500,501,501,501,800,282,800,800,500,503,282,501,282,251,800,502,501,500,282,503,649,800,502,501,501,649,282,649,649,282,500,501,503,16,501,501,500,282,501,501,282,500,503,503,282,500,502,502,503,501,504,649,500,16,501,649,504,800,649,500,649,649,502,503,16,503,503,502,441,185,503,503,508,649,649,503,501,800,800,649,344,502,800,800,649,282,649,649,649,501,649,500,501,500,503,649,501,501,16,503,16,503,501,501,985,649,164,649,500,502,502,649,649,800,502,669,500,649,501,233,501,502,503,503,502,500,502,500,502,649,167,501,800,649,502,649,282,500,649,501,649,501,501,502,500,503,503,16,800,649,503,800,800,503,649,282,565,502,503,800,107,502,800,16,956,649,503,500,617,282,500,500,504,800,15,649,500,503,501,282,503,649,649,503,359,16,800,649,503,282,16,705,503,500,282,501,800,501,649,503,501,500,282,649,503,503,282,502,649,503,500,502,502,501,503,501,501,282,502,202,282,649,500,503,503,282,282,501,649,500,282,800,282,649,800,502,502,504,282,282,503,16,649,649,502,501,649,503,705,649,500,723,501,107,502,663,649,500,282,503,800,502,502,503,502,500,649,16,503,500,800,800,800,500,800,502,502,504,502,526,500,501,264,500,800,103,800,282,107,501,486,502,774,952,503,708,800,502,287,501,800,503,501,502,502,501,800,72,800,800,302,501,502,649,16,282,502,800,503,500,649,649,576,501,649,500,502,915,16,649,282,503,502,16,500,547,500,649,502,800,800,503,649,800,649,800,671,800,501,705,649,800,722,649,502,800,503,876,649,503,649,661,502,282,500,571,503,502,502,501,500,891,503,500,649,502,503,500,595,502,282,442,501,649,502,500,649,107,800,502,800,502,501,282,500,503,500,649,800,501,501,94,16,196,800,649,800,500,412,500,502,800,503,501,502,501,500,500,502,500,649,800,800,649,501,282,500,501,490,500,500,649,571,282,500,500,649,503,16,800,502,503,501,319,118,800,501,500,500,500,16,501,180,16,649,259,282,504,649,649,502,501,502,800,282,419,359,385,501,188,800,282,800,282,649,500,282,503,500,282,800,501,103,503,504,500,705,800,501,800,649,503,501,77,500,503,953,503,170,500,955,502,649,502,502,500,16,502,502,500,670,649,502,7,500,16,500,501,16,502,16,493,504,431,501,16,800,503,500,335,502,501,697,912,504,649,929,403,502,705,24,500,501,947,503,649,503,893,649,504,649,502,16,502,282,502,503,500,501,282,405,16,502,503,282,501,501,771,16,719,649,500,502,501,502,500,282,800,800,500,503,500,800,649,800,649,502,503,800,649,800,282,559,500,500,63,16,800,503,800,500,649,16,503,800,503,390,501,501,503,16,287,282,282,501,501,504,500,501,503,456,107,649,705,802,500,502,503,503,503,282,503,503,624,800,501,500,501,502,503,503,503,501,649,500,501,502,500,500,500,501,503,649,345,649,518,502,502,500,107,502,501,649,501,501,500,503,501,800,649,504,504,502,282,800,800,800,500,501,800,503,486,501,107,261,501,501,501,500,503,501,649,503,667,282,500,502,502,502,503,503,282,800,501,500,282,969,800,649,173,57,501,800,503,503,282,109,500,282,649,649,502,800,500,282,800,637,502,500,502,804,500,282,501,649,502,502,503,649,501,500,990,500,500,504,800,842,502,501,501,623,800,282,282,500,705,503,501,504,649,500,503,501,830,502,907,502,800,800,282,870,501,282,502,282,441,800,501,669,501,500,503,501,649,16,503,503,698,502,502,282,287,800,112,705,16,800,800,649,800,501,502,502,282,501,500,503,282,503,501,800,502,282,501,443,501,649,501,800,107,490,800,282,649,503,501,502,501,271,503,502,649,282,138,500,107,502,503,681,253,502,501,649,649,649,502,502,502,649,800,983,500,502,800,503,800,800,501,500,502,119,355,649,500,25,800,502,1,501,649,501,649,282,501,500,500,502,649,945,501,800,502,649,800,502,649,16,800,482,501,800,649,649,502,597,502,500,547,501,800,500,16,503,503,649,807,500,503,502,501,502,800,622,500,503,866,503,503,649,503,800,501,16,502,503,503,500,282,800,502,501,503,502,800,500,16,618,503,502,502,16,800,649,103,800,560,500,649,649,501,500,800,501,502,282,282,649,282,282,649,502,649,501,649,501,502,502,502,503,502,502,800,503,500,503,500,649,294,649,502,502,800,800,649,407,502,500,501,502,502,800,500,282,503,503,501,649,503,282,929,282,500,501,503,398,501,503,502,649,649,800,16,501,800,282,800,503,503,503,500,649,753,649,504,502,500,502,16,503,649,502,501,79,800,649,503,502,504,800,649,16,502,282,503,800,107,502,800,500,502,501,502,500,889,785,501,800,500,282,402,500,649,501,800,282,503,282,503,800,649,503,800,923,649,800,502,503,800,502,649,500,502,503,800,800,16,649,503,282,501,500,501,800,502,800,16,502,502,502,500,282,800,502,502,800,800,800,16,501,500,500,502,649,800,500,649,500,503,504,107,452,649,503,503,503,500,800,502,337,500,800,800,502,501,282,417,282,501,501,503,500,970,500,618,504,502,503,503,649,501,503,500,501,803,649,649,500,649,500,500,501,16,16,282,800,649,649,501,800,501,800,107,500,649,649,133,503,282,500,800,503,800,501,500,502,502,800,500,800,847,95,503,502,649,503,503,503,127,501,501,649,210,649,500,858,503,857,375,392,503,735,282,503,503,503,501,501,500,502,649,649,503,800,503,549,889,16,649,501,503,800,649,504,501,800,282,500,500,500,800,501,649,649,500,322,800,502,649,500,189,800,504,800,501,800,503,800,800,800,500,16,649,649,501,852,504,800,501,649,649,501,502,282,282,800,501,649,500,800,502,503,502,649,730,649,800,800,504,649,501,501,282,504,710,16,501,502,503,502,500,649,800,503,503,501,502,501,800,502,501,503,649,502,649,501,503,282,500,649,502,503,231,502,502,800,500,800,649,502,800,500,500,501,500,107,87,501,800,282,502,502,501,649,502,500,503,800,503,500,800,800,501,800,502,501,800,649,501,504,607,503,501,987,800,649,800,501,501,503,264,503,649,501,503,649,649,501,282,503,986,502,501,800,503,579,500,554,502,503,800,503,504,502,800,500,800,503,500,800,501,502,800,777,900,500,503,800,788,502,503,13,504,282,500,800,500,649,649,282,501,503,649,502,502,605,365,800,649,504,500,16,503,800,501,502,500,501,502,501,800,282,502,501,800,649,501,503,649,91,500,86,282,282,500,16,502,500,282,501,503,800,502,649,500,649,800,649,502,630,503,502,649,500,649,500,500,501,504,501,717,503,282,500,501,502,501,308,503,501,501,500,501,800,968,420,800,504,300,649,649,282,800,649,800,502,282,503,16,500,800,800,649,500,503,649,776,800,16,800,649,283,500,649,500,501,16,649,649,500,672,503,16,800,800,776,16,502,503,513,504,16,502,649,649,502,501,800,649,800,800,800,800,323,500,132,500,501,500,503,450,853,800,282,500,501,203,503,503,800,16,500,107,502,800,352,16,501,502,800,4,800,501,649,503,501,312,503,500,800,501,800,800,800,501,501,649,500,500,241,500,800,501,502,500,500,218,80,500,503,503,501,501,107,503,649,500,16,194,911,282,649,502,503,107,503,649,500,16,502,502,502,500,503,16,500,649,16,502,649,503,504,282,417,363,504,503,500,501,800,502,502,16,649,800,759,800,649,941,502,743,503,503,500,503,502,282,645,835,502,500,500,503,355,282,500,503,800,502,501,502,649,800,503,800,500,500,282,649,501,129,800,503,282,107,16,649,800,501,641,657,500,961,334,800,800,649,500,800,503,503,501,41,531,649,502,179,502,500,107,503,502,16,502,502,501,500,501,503,503,503,282,502,649,501,500,501,500,500,500,503,282,501,501,500,500,501,500,800,800,282,206,282,502,502,321,500,800,500,500,649,800,16,501,282,800,649,649,502,502,800,501,282,719,16,16,649,649,649,504,501,500,70,649,501,500,503,501,800,500,272,501,500,503,649,649,282,502,500,800,502,522,544,282,649,503,488,800,649,501,503,503,282,501,502,502,490,16,500,721,502,504,503,501,282,88,501,800,395,502,502,618,502,649,910,649,501,503,503,504,649,501,649,143,500,504,502,501,800,800,369,501,501,501,800,502,800,800,800,800,649,244,501,500,503,500,507,503,501,521,649,502,16,501,649,800,649,282,800,649,501,502,500,606,501,16,649,501,502,500,501,502,117,503,503,502,503,649,649,800,503,103,503,800,649,16,503,501,800,503,649,800,649,16,800,501,501,502,800,460,503,502,503,800,16,282,800,500,41,502,332,503,503,16,282,500,500,503,266,282,16,503,461,800,107,503,725,800,800,501,800,515,502,282,500,501,282,500,503,800,501,502,987,500,800,502,501,282,649,501,500,649,501,501,501,50,939,501,501,500,282,503,500,502,649,502,503,501,649,31,786,914,499,649,282,649,800,649,500,501,503,502,503,180,282,800,282,800,800,16,501,649,501,649,649,800,500,800,800,637,800,800,103,649,500,16,16,501,653,282,16,501,800,503,649,247,502,502,800,282,500,502,502,503,503,649,800,502,501,800,800,800,767,501,500,503,800,501,800,500,500,502,800,500,501,366,313,504,504,609,502,649,501,649,503,800,503,503,282,503,501,502,501,501,502,9,502,282,504,444,502,282,927,800,649,800,607,800,649,500,576,100,282,800,649,800,502,649,503,500,649,843,282,502,800,282,500,502,282,502,502,16,800,500,776,800,649,503,16,578,471,16,502,500,649,351,282,503,502,282,501,800,503,500,148,501,332,282,840,800,519,501,800,502,502,500,800,717,28,800,503,500,649,480,800,500,282,502,502,501,649,503,502,500,282,503,502,500,107,282,501,800,501,282,649,503,502,282,282,649,800,282,500,502,502,501,16,500,502,373,282,503,120,501,212,503,501,800,800,500,437,282,800,800,505,503,800,503,80,501,504,500,22,502,649,282,501,503,128,649,800,649,500,282,502,504,800,503,338,649,800,649,503,501,107,649,405,503,649,839,503,504,800,219,896,501,501,800,500,26,503,503,503,503,282,503,501,500,527,23,502,502,501,282,649,649,176,800,800,107,501,124,501,282,501,649,501,649,500,501,800,503,16,504,501,503,649,500,16,500,649,282,800,282,503,503,282,501,500,282,503,800,649,502,502,649,686,800,1,649,503,800,503,503,800,357,502,500,800,282,150,500,649,61,500,503,501,501,800,500,649,44,500,16,502,649,500,502,504,500,500,310,800,502,282,501,501,500,504,500,500,500,501,500,649,800,16,503,282,278,649,649,282,500,502,800,383,5,282,649,503,501,423,800,282,500,503,503,501,503,500,547,649,800,502,503,500,500,282,800,504,282,649,500,649,800,282,649,649,800,800,500,500,500,501,501,500,800,282,503,107,501,800,282,800,649,800,282,308,800,282,501,191,503,550,500,282,649,776,500,800,800,392,649,501,16,502,282,501,453,503,282,501,866,282,502,800,502,500,103,649,502,501,502,649,282,800,501,957,16,501,502,800,800,800,649,502,501,282,282,500,800,16,282,501,501,501,749,800,503,107,503,472,282,800,500,649,954,501,282,500,649,649,501,282,800,16,28,649,502,577,800,800,899,800,800,502,282,16,500,649,282,503,649,16,500,500,800,649,292,69,501,501,502,800,282,500,649,800,501,502,951,500,503,502,800,282,705,501,502,282,501,800,800,502,501,649,213,16,800,908,800,930,649,500,503,503,241,320,475,500,503,978,800,501,501,800,502,800,107,245,500,501,502,423,503,502,502,501,501,107,503,649,253,800,126,16,800,800,501,500,501,500,800,500,502,649,649,502,500,503,500,800,311,502,503,503,503,500,649,800,649,800,282,800,800,16,282,800,156,649,502,649,649,502,502,649,502,282,800,500,503,800,503,649,16,503,502,502,502,107,500,800,502,324,502,800,502,649,502,501,649,705,502,800,503,501,16,500,800,258,501,649,503,500,800,502,16,642,500,897,107,501,501,344,503,501,501,3,500,332,488,501,503,500,282,500,503,282,649,501,800,501,649,501,649,800,649,800,649,501,800,878,62,800,501,16,282,501,500,282,649,649,500,503,800,501,282,500,504,800,282,391,501,649,282,573,502,501,502,501,503,282,800,15,503,503,800,166,501,502,500,501,282,881,443,292,466,503,503,503,800,282,282,282,501,503,649,800,502,282,503,642,502,503,502,16,16,987,500,502,500,503,649,500,518,282,503,282,500,884,800,800,503,800,500,649,649,649,103,503,501,800,16,649,502,500,503,502,649,502,500,503,649,504,800,17,765,500,501,501,580,503,503,502,649,501,501,134,502,755,502,500,501,502,600,800,282,504,16,649,669,282,503,500,501,500,652,501,500,500,503,501,503,649,639,800,649,502,502,501,649,501,649,503,501,501,500,501,800,800,503,502,282,282,501,501,649,502,457,502,502,503,500,649,502,501,800,503,649,501,501,503,282,326,800,500,800,503,502,503,800,102,807,500,501,207,649,500,502,649,503,569,282,649,881,503,501,500,800,388,649,800,501,502,501,503,503,800,500,503,502,800,500,649,500,800,554,649,501,503,649,753,592,649,502,500,500,16,503,649,503,649,800,800,501,504,502,504,501,800,503,51,503,921,502,800,649,502,501,263,503,503,501,500,16,855,649,500,500,501,502,800,800,502,649,812,800,33,209,501,800,16,649,503,503,282,800,649,501,282,501,504,800,282,500,649,16,501,500,500,282,503,502,503,649,503,501,500,500,899,649,649,800,800,503,501,502,800,800,87,504,519,649,501,282,501,503,501,282,800,500,595,649,351,503,500,503,501,500,649,282,510,500,800,501,502,329,503,503,800,212,502,502,502,502,800,501,502,649,649,649,502,800,501,649,503,500,500,800,502,501,501,800,800,500,135,503,502,649,31,337,800,503,502,649,501,502,503,500,16,502,503,500,282,406,240,107,820,579,306,800,501,502,16,940,493,502,16,500,502,500,800,504,282,501,500,16,264,503,800,16,800,501,502,800,649,649,300,16,800,501,501,800,502,778,502,502,502,649,503,500,800,649,282,502,420,649,988,500,501,649,527,502,649,821,649,501,649,800,500,501,800,503,502,649,503,501,502,502,502,502,49,282,502,503,800,500,502,869,501,16,282,649,503,501,649,800,500,16,503,500,500,503,501,982,107,504,503,500,282,282,504,503,282,501,282,500,503,500,649,282,800,800,800,500,649,282,502,609,247,504,16,502,501,502,494,649,800,501,16,501,16,501,503,501,500,503,649,800,501,503,500,800,503,800,503,649,502,503,476,501,490,649,958,282,500,501,500,800,649,500,649,501,502,502,503,500,502,282,501,107,502,255,501,649,503,800,16,501,16,502,170,500,649,887,649,503,501,800,502,800,502,500,502,282,16,89,500,800,503,282,831,282,501,649,500,502,502,503,16,282,873,501,16,282,500,502,838,501,500,800,500,451,503,649,282,282,501,424,501,107,500,710,501,649,800,501,501,16,16,649,502,800,282,501,500,504,500,503,943,502,800,503,774,502,500,649,501,500,502,649,16,800,503,501,502,503,282,501,500,677,503,502,649,800,649,503,500,16,501,502,649,502,500,649,501,282,502,503,86,502,800,503,775,282,500,800,386,99,16,800,500,16,649,800,559,501,500,282,800,502,503,649,50,609,282,503,503,800,800,501,501,501,800,989,800,503,503,500,502,503,800,501,649,501,501,502,767,503,503,500,42,649,502,649,800,649,800,800,649,501,503,649,503,502,503,500,649,500,501,500,800,504,16,888,649,649,800,502,812,649,282,501,502,508,800,500,500,502,502,500,500,649,503,503,502,501,800,705,800,501,649,500,501,501,649,651,502,501,503,16,501,649,103,503,482,800,336,800,649,501,487,501,503,500,288,825,649,503,501,502,503,502,937,800,800,500,800,501,800,501,503,800,800,502,500,501,385,501,107,500,501,54,15,844,800,649,282,503,501,503,282,501,501,282,503,311,503,503,501,500,503,501,16,503,421,339,800,649,502,126,530,500,649,503,110,500,503,501,502,501,800,96,649,800,282,501,502,181,800,800,502,502,503,500,282,503,502,800,502,800,502,501,607,503,649,800,649,649,800,800,500,502,502,501,500,16,501,649,649,649,503,504,503,282,503,800,504,501,502,503,649,503,501,800,503,282,981,502,503,502,502,502,649,500,311,502,501,501,800,500,649,503,503,500,800,502,501,800,282,800,649,800,282,282,500,610,16,500,649,503,16,501,122,501,800,107,503,800,649,502,501,503,502,500,502,503,282,5,649,279,800,501,151,503,501,500,503,181,282,649,500,649,500,503,340,502,501,501,800,503,244,101,502,502,502,502,501,501,649,282,282,502,649,500,800,500,800,500,500,503,649,500,800,501,503,503,500,345,50,503,643,501,649,649,800,500,502,500,503,503,501,502,500,500,649,282,503,736,501,504,16,16,504,503,502,649,59,502,503,355,256,503,800,500,649,282,282,500,155,800,800,500,80,502,282,502,649,124,503,501,502,503,502,503,649,501,500,502,502,500,500,649,800,282,503,863,800,800,504,502,16,282,800,841,500,503,860,503,503,649,649,282,800,622,500,800,291,649,158,501,649,502,501,500,800,503,501,500,503,503,503,649,501,502,800,501,503,502,502,501,502,649,897,501,800,800,649,649,649,503,649,649,16,282,649,649,649,503,503,800,968,649,299,503,649,393,16,649,500,800,500,500,502,282,502,504,282,503,800,649,503,503,500,501,800,501,500,269,502,245,800,665,503,282,968,844,503,649,501,282,501,501,500,800,649,800,280,500,503,503,503,503,800,500,800,501,502,344,800,503,501,502,649,800,501,503,502,232,503,800,254,553,800,503,381,800,177,503,502,503,649,800,904,502,502,501,649,649,500,501,800,661,501,800,800,20,501,649,489,649,501,800,282,465,503,800,953,500,500,395,807,502,649,501,501,500,502,487,503,386,16,649,501,649,503,500,800,800,501,649,502,503,282,500,500,16,649,282,16,649,503,800,756,502,649,503,800,16,500,501,501,800,502,503,942,665,502,501,705,500,503,800,800,562,800,503,500,501,502,501,502,800,282,502,502,502,502,649,800,275,511,535,500,503,500,800,800,503,503,502,800,502,800,649,502,502,503,800,800,503,504,800,705,501,503,282,500,800,300,502,800,503,501,500,500,500,501,282,502,502,502,803,501,500,904,800,500,211,502,504,501,503,800,501,800,649,800,800,649,503,502,800,800,503,800,649,950,500,800,501,649,502,501,500,500,501,800,500,503,503,425,649,500,786,503,501,503,501,282,649,475,649,502,800,502,500,131,501,649,500,16,500,503,500,16,985,502,503,502,501,500,502,501,649,500,502,800,502,649,282,649,649,282,649,282,502,282,500,705,502,718,800,501,500,389,500,649,500,800,500,147,442,500,503,649,501,649,282,649,800,649,260,282,503,501,649,503,729,503,649,501,800,501,503,41,501,500,649,503,282,282,501,501,282,800,501,501,503,503,503,500,500,501,500,800,649,800,718,503,810,502,649,500,500,503,649,501,883,502,500,503,503,800,649,502,814,502,649,800,501,282,500,501,108,800,649,503,500,16,649,282,625,503,500,559,938,196,501,649,636,282,649,500,501,133,502,501,800,503,947,282,503,282,649,503,16,504,282,503,125,282,500,244,800,501,503,501,800,800,501,503,503,503,501,282,649,800,502,503,503,76,282,501,649,502,502,501,282,649,282,503,659,502,503,282,649,502,501,502,877,16,800,501,500,502,503,800,108,501,501,649,502,649,502,800,504,800,500,282,16,16,649,502,503,503,649,500,282,500,103,501,502,503,635,501,408,649,16,649,503,649,16,501,500,100,649,501,649,649,500,503,760,503,782,800,800,800,649,166,503,289,503,503,16,649,503,500,16,503,282,501,501,649,500,503,649,502,502,502,800,649,282,503,224,500,500,107,501,64,500,503,800,501,501,649,64,800,500,500,502,501,649,657,502,503,502,282,502,800,501,559,503,503,16,800,502,501,282,500,503,800,503,502,16,282,500,13,500,502,649,912,649,649,503,649,649,88,501,800,500,501,413,649,282,649,502,649,107,500,16,649,649,501,800,502,625,502,800,16,649,107,500,16,502,800,500,649,800,735,502,800,649,503,502,503,206,501,500,500,481,800,500,649,501,500,282,800,649,500,501,503,501,504,501,502,800,501,500,649,501,107,500,282,800,800,758,368,800,500,800,705,502,800,49,242,800,649,503,500,503,800,117,282,500,503,501,502,334,501,503,800,500,502,487,649,649,148,649,833,423,800,800,503,500,501,649,503,800,502,649,501,502,503,16,500,500,500,800,502,500,885,800,501,501,503,500,501,501,562,503,502,500,500,649,800,16,837,16,800,500,649,800,503,502,649,502,800,249,502,501,500,800,282,649,502,800,417,500,502,503,997,503,503,907,107,649,282,282,502,501,649,649,282,757,503,800,347,503,16,840,800,500,649,503,16,501,822,502,500,800,503,800,502,503,800,503,463,649,649,500,501,649,282,501,501,503,897,800,500,800,649,500,800,800,465,896,501,502,503,282,500,502,500,649,800,649,898,800,648,500,649,482,282,503,800,649,503,800,500,500,500,649,503,649,500,502,800,282,500,800,503,503,800,500,649,649,502,504,500,501,649,502,503,800,501,796,501,800,800,209,503,411,502,502,800,800,649,127,500,501,800,800,502,649,282,504,502,503,503,800,500,282,502,501,501,501,503,16,282,502,502,503,502,649,649,152,500,503,500,16,800,502,501,282,503,501,502,501,500,500,502,503,282,503,16,649,502,649,500,282,358,46,935,502,503,503,502,16,800,800,648,502,130,503,503,501,501,649,649,16,16,501,500,502,649,501,914,502,107,500,283,502,800,800,874,282,800,502,501,649,503,503,502,501,339,888,282,501,126,501,501,649,800,768,800,282,800,649,477,649,649,800,502,500,282,800,16,800,501,503,503,800,800,502,503,503,649,103,501,500,649,649,503,649,502,503,649,503,501,649,16,503,504,504,282,500,503,800,500,502,800,649,282,649,500,502,649,16,501,503,502,708,501,502,503,503,503,938,501,500,649,501,501,401,539,502,282,800,800,800,502,800,321,800,649,500,503,649,800,180,503,807,502,503,649,282,649,501,758,16,502,502,282,800,501,856,501,503,107,502,503,800,649,649,501,800,282,502,649,649,341,502,502,502,500,649,501,649,667,503,502,800,649,800,649,500,282,800,282,107,500,502,500,501,502,282,593,649,503,3,825,501,500,143,800,503,502,502,800,500,501,800,649,502,500,503,649,502,503,419,503,504,504,502,649,60,107,649,282,922,800,503,502,500,501,282,107,16,800,501,500,454,502,649,800,501,500,501,649,800,500,282,501,502,649,649,502,649,649,501,503,519,503,532,800,16,502,501,501,800,174,500,16,502,931,800,800,800,798,637,282,282,501,282,282,16,282,502,620,649,282,502,500,649,502,107,503,649,800,503,800,501,535,282,502,501,800,282,649,504,649,501,55,18,501,503,649,503,282,503,345,800,500,501,502,800,631,504,502,145,500,500,502,800,502,502,500,649,649,649,500,501,501,67,301,800,560,500,800,502,500,368,501,622,800,502,503,503,501,45,500,800,282,500,502,501,649,649,502,500,282,502,282,500,502,366,502,501,501,191,502,504,501,800,800,502,502,500,649,503,503,168,944,503,503,282,500,502,503,500,503,502,502,649,504,503,103,16,502,501,1000,282,282,649,282,500,503,649,385,501,502,315,500,800,501,502,649,649,500,649,500,282,866,649,503,637,282,649,502,107,501,502,649,16,649,502,649,500,319,649,85,500,504,648,1000,800,800,649,16,504,107,282,590,502,500,649,501,800,649,649,649,312,500,500,501,282,500,649,800,800,501,421,502,500,501,500,649,500,500,503,16,501,705,649,649,800,500,649,501,501,456,500,16,649,649,503,500,502,501,501,649,87,282,800,800,649,500,282,502,500,503,800,501,429,503,800,501,501,800,500,800,800,500,500,747,649,16,501,501,503,500,649,282,500,282,500,503,800,502,411,800,16,503,503,800,502,501,463,930,607,503,500,500,501,649,282,282,406,324,800,800,649,500,501,800,282,500,502,500,649,500,230,16,501,800,282,649,502,501,905,502,501,282,503,503,503,501,745,502,501,649,502,649,501,501,282,503,500,502,800,501,282,503,705,503,500,500,800,500,500,649,649,503,501,848,649,500,502,501,501,58,501,503,500,503,649,800,919,501,501,800,500,103,16,800,800,649,967,500,503,16,800,846,503,503,188,709,501,16,503,282,282,800,500,845,800,16,500,501,502,500,500,800,107,501,800,502,800,282,282,503,282,503,649,500,649,501,649,500,649,500,649,800,800,183,16,800,800,282,502,800,503,121,502,649,501,649,16,528,800,282,944,500,501,502,503,756,282,503,502,503,649,649,503,503,503,502,501,501,500,16,501,282,503,501,502,649,501,503,503,800,282,282,282,502,800,501,502,862,6,16,282,500,500,649,649,501,502,107,800,16,16,502,502,282,503,503,501,500,800,502,412,649,649,500,500,649,735,501,251,649,503,72,649,282,502,282,649,16,500,772,502,209,649,649,829,501,501,649,503,501,593,503,502,800,282,649,81,501,500,501,503,800,503,501,537,649,649,500,500,500,103,501,79,502,503,282,500,503,501,642,504,800,503,502,501,173,473,649,503,500,502,501,501,800,501,500,502,800,502,500,786,500,16,500,965,649,500,649,800,800,473,16,649,649,501,800,800,649,502,500,501,503,502,500,504,649,631,500,649,746,502,390,503,501,282,282,649,800,501,935,282,504,649,502,649,501,500,501,501,500,800,800,500,503,649,503,294,649,649,800,234,282,705,501,502,282,16,501,800,800,282,500,649,501,616,16,282,103,800,800,376,502,502,503,828,502,800,501,107,198,800,503,502,502,800,649,962,502,500,800,800,501,649,500,503,502,500,800,800,500,502,282,800,649,800,800,800,503,282,503,502,649,501,500,800,980,503,500,646,500,500,503,503,649,502,500,501,649,282,649,500,503,502,502,501,16,16,503,677,649,800,503,501,501,800,502,503,800,503,282,730,503,504,649,503,502,503,502,800,942,501,800,649,501,500,502,16,282,800,649,501,503,800,800,501,501,502,800,649,800,16,502,501,500,23,502,500,501,502,282,502,503,108,397,850,282,770,800,114,503,504,500,500,502,649,500,800,74,282,503,649,491,502,503,649,800,501,649,103,502,122,501,621,649,500,649,501,649,201,501,500,282,453,501,932,88,500,282,500,501,503,503,649,502,214,584,595,282,649,53,503,502,800,206,501,800,501,649,649,16,501,502,500,502,649,649,503,500,501,649,501,649,502,800,924,800,503,502,16,502,266,502,91,502,649,800,649,501,501,501,503,881,800,503,282,503,649,500,800,800,501,503,881,501,501,502,16,503,298,649,500,263,264,928,502,800,502,759,649,501,649,599,649,502,16,767,282,649,282,503,500,501,649,800,501,800,649,649,501,500,800,502,649,501,501,796,503,800,282,800,684,503,503,500,503,500,649,43,800,800,502,16,649,501,503,649,16,282,649,800,503,502,501,800,16,500,503,501,800,503,501,800,800,800,502,503,500,649,800,649,503,649,107,649,649,500,503,501,503,501,103,800,647,501,282,800,282,282,649,282,500,501,501,503,800,282,502,800,500,649,649,512,800,649,800,500,649,649,103,351,502,800,501,503,500,500,720,800,800,800,501,501,500,16,701,501,500,236,282,800,503,800,501,500,500,502,800,501,501,456,502,501,503,800,987,503,29,800,500,649,282,502,100,506,503,591,616,503,649,502,502,502,501,800,502,501,649,502,503,503,502,500,500,500,61,800,503,501,800,501,501,800,800,500,502,500,503,282,503,502,282,501,503,502,503,500,649,800,503,500,107,800,800,502,800,501,500,73,16,502,500,500,800,354,616,670,800,800,649,502,500,107,91,847,501,852,502,501,770,800,800,503,800,412,501,501,649,649,500,649,649,800,503,684,501,16,649,502,800,501,503,504,501,607,649,501,502,503,503,649,289,649,502,502,500,501,501,800,501,16,503,672,500,502,502,282,503,800,819,282,282,649,282,282,500,282,502,503,502,502,800,500,742,649,503,282,774,649,282,502,649,945,800,649,503,800,649,649,800,801,331,649,502,502,16,500,501,501,502,649,502,502,501,160,501,500,502,649,649,282,649,503,500,800,501,800,501,205,880,503,800,501,504,16,283,503,649,500,501,502,500,504,705,783,501,800,800,501,502,502,501,282,500,649,800,552,675,501,282,500,649,649,504,501,502,501,16,477,800,16,800,500,503,106,501,502,500,501,503,500,282,649,501,502,800,282,649,282,807,501,502,649,103,114,649,107,500,502,501,502,502,800,502,800,159,649,800,500,800,282,503,772,503,502,800,649,500,501,502,597,800,500,501,501,500,205,282,500,500,649,800,649,501,504,500,282,501,502,16,500,500,649,800,190,103,443,825,649,103,500,649,501,649,500,501,46,501,649,650,87,500,649,282,16,107,282,773,501,503,501,899,501,807,504,501,663,800,649,500,503,502,649,500,500,800,16,502,636,503,500,107,800,800,649,503,16,649,649,649,494,503,503,501,649,502,501,500,502,800,391,500,501,800,503,501,649,503,500,503,800,834,649,282,502,649,800,500,16,503,649,502,501,1,16,501,649,800,282,800,501,800,649,503,500,230,501,800,501,649,503,503,501,501,343,800,503,369,800,503,637,503,502,432,503,107,503,645,501,503,649,282,107,501,649,282,282,503,16,789,592,282,503,501,503,545,502,16,649,502,502,649,502,502,502,800,501,800,282,800,107,503,800,567,502,500,605,501,800,500,502,870,308,800,503,16,500,800,282,500,502,107,649,800,649,501,193,800,282,800,649,649,154,501,501,649,502,500,501,501,502,501,504,501,500,649,649,282,800,500,500,501,500,501,503,379,503,282,502,500,500,16,502,500,141,504,500,500,500,501,500,500,500,649,649,500,503,282,282,649,503,800,501,649,800,503,491,502,126,501,502,500,144,500,943,501,649,502,620,502,264,501,501,800,501,649,282,500,800,503,500,503,503,649,596,282,502,500,626,500,800,800,800,500,502,16,502,503,500,502,800,503,16,649,502,800,500,501,501,285,800,800,282,503,502,503,502,679,800,649,649,501,649,500,502,649,800,502,56,501,39,500,800,502,182,39,65,623,16,502,800,649,165,500,503,282,503,502,837,501,503,282,649,937,800,502,382,649,16,501,649,657,649,503,503,282,501,500,16,501,502,649,501,503,628,504,502,502,649,800,800,500,473,500,503,500,502,500,502,800,282,503,502,800,500,800,724,502,500,500,29,649,476,500,649,649,502,800,502,649,503,500,800,503,504,339,503,503,503,500,504,500,501,800,503,282,16,800,502,502,282,906,649,282,282,680,503,500,501,501,501,503,502,649,624,228,501,649,649,431,501,501,501,501,800,282,800,500,503,800,503,800,800,500,503,649,502,800,800,800,501,800,800,503,502,905,501,503,800,283,699,444,830,500,500,502,502,649,503,503,649,282,501,325,502,500,800,800,649,501,500,503,501,202,705,503,800,649,502,800,502,503,501,580,16,800,600,800,500,503,16,720,800,501,501,16,931,501,800,502,800,800,603,503,25,107,500,16,649,452,500,16,800,503,502,500,282,503,500,16,649,282,649,800,16,355,649,500,649,501,501,502,800,502,501,282,16,649,282,800,282,649,501,501,500,800,800,9,503,502,649,502,503,282,503,426,146,800,38,677,500,500,649,501,800,501,481,500,649,502,649,501,402,881,282,504,503,649,502,649,309,500,800,502,503,500,800,504,500,649,282,501,471,504,16,501,500,528,504,501,501,501,500,649,282,800,503,500,800,282,500,831,470,282,800,649,501,500,800,282,649,800,502,800,800,500,503,282,501,501,649,260,190,503,800,800,357,649,800,649,500,649,103,649,649,800,500,800,282,649,502,282,766,800,800,502,649,649,282,282,501,501,282,649,649,503,649,282,800,800,800,501,282,503,503,502,500,504,500,500,905,502,649,282,9,649,503,502,501,649,800,501,500,701,503,500,800,500,503,503,503,501,500,503,649,511,676,501,16,601,500,495,501,500,503,501,282,649,501,649,282,909,649,500,502,253,282,504,649,282,503,800,800,502,503,500,16,503,916,310,282,503,16,649,282,800,800,500,502,649,16,502,800,905,501,500,504,502,501,649,16,503,282,800,502,501,649,649,501,501,649,308,800,500,558,503,500,504,502,649,503,502,649,649,502,800,502,800,800,500,502,500,503,521,500,502,282,502,649,282,649,502,502,501,649,504,649,503,500,503,502,502,306,500,282,501,103,800,420,503,649,500,649,649,502,500,500,501,500,753,800,649,501,500,500,540,800,500,282,503,649,500,800,134,649,649,502,500,502,268,690,501,800,800,503,107,500,501,649,502,800,501,502,800,16,500,173,503,500,542,649,500,502,501,649,800,502,103,503,501,649,649,800,502,282,103,501,871,502,649,108,500,800,502,676,800,800,649,502,355,500,502,800,502,503,501,503,500,503,649,502,500,649,501,502,503,502,500,502,455,500,282,502,800,500,503,800,800,502,754,501,649,503,282,16,501,503,502,800,246,745,503,500,503,501,649,502,282,503,502,500,282,502,649,549,282,282,800,502,649,502,800,500,501,503,16,282,503,800,502,500,503,649,240,500,502,502,502,502,311,502,500,649,800,502,649,649,500,649,503,649,502,502,639,503,500,500,800,500,800,282,149,500,503,501,503,500,649,501,649,77,649,503,16,649,503,503,500,800,502,502,282,16,800,503,500,16,800,502,800,649,800,500,730,436,503,502,583,649,649,500,107,504,502,800,501,500,649,883,501,832,649,501,649,118,649,504,501,501,649,502,503,502,500,503,501,500,724,502,649,501,503,16,282,503,502,649,36,800,649,501,502,16,103,800,501,500,501,503,167,502,500,501,649,282,800,503,30,503,103,504,649,720,502,370,282,502,503,825,649,502,649,503,503,16,500,503,502,649,758,800,502,16,503,501,503,500,503,501,649,503,122,502,503,500,502,951,503,501,649,503,502,649,500,800,503,503,649,649,503,145,501,504,811,441,500,649,500,502,502,800,282,800,649,501,503,502,502,501,715,800,503,503,800,282,502,503,501,800,501,890,800,503,503,500,502,504,504,500,500,800,800,502,500,16,503,503,500,16,504,500,800,501,649,502,649,649,282,500,502,502,503,502,501,503,649,705,500,502,502,800,502,800,503,800,282,501,145,503,800,500,753,501,501,503,503,503,649,800,979,502,502,800,500,309,282,800,500,502,282,16,350,502,775,800,461,501,503,504,649,912,502,503,503,800,504,800,649,503,503,503,503,503,546,500,501,10,501,649,282,800,649,503,502,649,500,501,502,649,500,500,16,502,502,503,500,503,282,503,500,501,501,503,800,501,501,500,649,502,631,44,501,649,503,800,282,501,649,504,649,649,532,16,502,800,282,500,282,501,562,501,800,502,282,503,649,800,503,502,502,800,800,782,500,500,500,501,503,501,502,501,502,503,501,224,649,777,435,800,282,80,500,800,649,800,500,800,500,649,800,503,649,649,503,501,843,500,800,473,500,503,500,501,501,502,500,501,503,503,504,898,500,501,503,531,503,649,649,501,501,800,640,500,649,649,501,502,649,649,500,800,282,286,502,502,800,500,500,894,500,502,503,800,500,800,800,416,282,502,800,800,649,800,954,649,63,504,500,649,16,16,16,800,649,800,800,470,501,434,282,765,800,649,500,503,503,501,501,501,649,40,500,649,649,500,878,800,16,503,501,503,502,282,501,500,503,503,502,500,502,503,282,649,502,649,887,16,502,502,502,503,502,800,501,800,649,503,502,504,800,800,503,501,282,649,282,501,236,800,413,501,502,503,649,500,377,503,501,216,525,501,649,49,501,800,282,503,649,501,502,800,282,16,502,502,501,544,502,500,501,733,282,500,503,501,800,800,800,500,501,502,800,503,500,649,503,501,503,282,501,800,504,502,503,16,501,16,502,500,800,800,503,649,500,649,649,649,649,501,501,800,386,500,616,282,282,107,504,800,500,502,649,502,649,503,800,501,649,502,503,500,649,649,800,503,800,503,920,501,649,501,800,500,502,649,502,500,501,475,282,800,502,500,649,282,502,504,800,502,501,800,502,503,501,501,502,501,503,501,649,800,500,500,503,503,599,501,800,282,85,501,501,282,501,503,503,500,502,922,16,800,500,282,649,503,502,503,321,649,503,501,503,502,502,282,800,649,800,502,800,732,500,501,282,501,500,800,500,282,16,176,501,920,649,502,649,502,502,503,502,501,100,500,649,800,501,502,501,16,500,282,649,649,209,503,500,603,500,800,282,800,502,429,574,502,800,501,500,501,649,800,503,501,503,800,282,502,315,501,800,503,649,649,282,617,649,649,502,503,328,649,501,501,800,503,501,604,501,649,369,500,282,453,503,649,500,649,800,501,501,500,501,282,502,501,501,502,649,282,500,502,16,800,800,649,649,501,502,502,580,503,103,503,503,649,500,800,503,503,502,649,500,502,649,501,500,938,502,649,500,501,502,649,502,501,501,500,364,482,800,900,901,653,346,649,500,282,800,440,500,502,800,502,522,649,500,503,500,501,649,649,502,649,782,254,503,16,649,804,501,501,649,287,501,800,501,503,500,503,16,649,282,502,728,800,500,103,282,504,502,503,14,500,501,800,998,649,503,503,502,282,302,800,501,500,575,501,117,800,500,800,500,800,348,800,800,500,649,500,502,282,503,800,501,502,800,865,282,282,484,649,649,504,282,500,649,800,635,503,502,502,501,501,649,282,16,500,282,500,282,705,282,800,500,501,649,500,649,134,502,282,649,500,282,387,502,500,800,500,502,502,282,500,503,502,107,503,500,282,683,470,760,649,312,503,500,502,649,504,500,256,500,800,503,501,821,800,649,504,501,502,649,500,649,502,649,800,282,702,503,649,502,649,503,800,337,502,501,502,274,500,501,503,500,502,503,502,800,502,501,501,649,503,800,649,501,282,16,500,501,500,800,503,16,694,501,800,800,501,282,502,503,502,649,502,282,502,843,649,500,502,501,501,503,16,16,282,649,500,500,800,448,649,68,500,282,503,501,649,502,500,282,800,649,501,649,502,503,800,654,501,43,649,649,501,615,500,500,282,503,800,800,932,800,501,103,501,500,502,800,503,800,282,868,501,282,282,501,500,501,388,105,282,502,503,140,301,501,800,473,503,649,503,282,282,501,500,500,504,502,119,282,501,63,649,501,649,282,502,800,503,500,282,884,500,501,649,649,502,502,800,282,490,504,800,502,649,503,500,502,501,649,502,898,282,503,687,500,561,502,231,800,649,502,500,649,500,800,503,800,500,501,501,511,800,503,649,546,854,502,16,503,282,282,553,503,501,800,488,649,503,800,502,502,649,776,501,800,71,282,44,502,800,766,502,649,800,191,502,500,503,282,649,503,503,500,501,500,800,649,502,800,502,800,502,649,886,501,501,503,800,649,503,504,504,16,501,502,800,800,800,26,503,649,500,503,282,649,500,800,649,800,503,800,959,240,649,282,503,500,502,501,500,16,501,502,502,500,500,800,807,429,800,555,500,884,649,800,282,503,501,502,649,282,282,16,705,503,502,502,500,500,649,503,282,500,502,282,503,16,649,502,905,649,292,800,789,501,500,500,501,800,500,502,501,800,184,800,800,649,500,240,501,501,503,501,500,16,649,502,503,500,501,649,282,649,649,800,501,531,503,502,282,502,500,503,800,800,502,800,808,649,503,502,501,503,649,502,504,317,502,501,504,800,171,504,282,800,800,800,649,800,501,800,800,502,500,501,504,800,502,500,800,649,837,485,794,500,504,500,500,500,503,800,500,503,800,16,501,503,502,500,800,649,649,501,287,500,502,475,502,649,326,800,503,649,417,800,649,800,16,501,800,649,649,168,800,502,503,748,502,649,282,649,182,502,282,501,503,503,531,501,503,800,501,859,649,800,720,649,179,282,501,791,503,500,501,502,800,649,649,502,502,800,649,502,649,501,502,501,500,282,501,503,502,501,503,501,502,649,502,649,504,641,504,501,501,649,334,502,502,800,800,800,800,649,503,402,503,501,500,503,800,501,500,502,282,800,500,649,501,649,800,800,800,501,500,503,160,62,870,503,501,649,800,503,649,503,282,649,503,502,800,500,649,649,282,800,503,500,500,800,502,500,998,502,503,800,500,503,500,500,501,381,500,213,586,800,501,16,502,503,502,16,649,501,503,501,649,800,501,503,800,502,56,649,649,500,502,502,503,500,800,500,800,386,800,503,501,501,100,649,503,500,502,649,503,501,800,500,502,502,500,500,503,501,649,282,502,282,503,500,502,649,503,102,503,800,800,502,500,500,649,133,502,500,387,800,502,503,649,501,500,282,502,908,503,16,800,502,503,503,501,800,649,649,649,649,800,501,500,649,800,502,649,500,502,854,500,500,649,500,16,502,504,500,649,502,649,502,261,503,282,800,500,282,503,800,37,467,282,800,800,649,502,501,144,500,408,502,800,649,503,649,500,614,502,649,649,503,777,32,503,500,649,649,282,502,501,800,282,502,800,649,502,800,503,370,501,500,222,501,649,38,502,16,501,919,37,800,649,503,649,800,641,20,649,800,503,501,501,649,503,502,649,282,16,282,502,502,800,800,16,718,500,675,649,649,800,800,501,500,500,501,813,502,16,501,503,997,503,800,503,502,503,501,800,282,503,502,501,483,502,502,503,502,304,688,503,649,649,502,550,649,503,503,649,502,282,282,649,503,282,649,649,649,500,800,354,500,500,800,649,282,649,503,800,500,512,502,503,503,649,282,500,503,16,500,502,500,501,501,649,500,800,441,800,800,16,500,578,282,800,800,502,173,800,500,550,800,500,649,800,800,500,800,501,500,503,16,502,504,502,500,304,501,500,649,503,604,825,789,800,504,800,257,16,649,501,501,502,649,508,500,501,800,70,649,800,649,501,501,502,800,107,282,503,800,504,282,501,500,232,649,500,502,501,800,649,501,500,16,460,500,649,649,501,649,501,500,502,502,891,503,331,79,16,502,99,500,500,502,800,503,503,503,800,503,646,282,500,501,501,503,503,570,501,501,450,500,649,800,500,501,93,502,440,502,502,663,503,501,107,282,649,282,506,501,800,282,501,503,800,649,501,649,501,503,649,501,649,282,800,800,500,990,804,503,649,502,834,503,800,503,501,16,567,649,500,649,503,502,500,501,282,649,501,800,800,800,504,504,282,500,649,501,649,501,282,620,500,501,649,649,800,800,502,502,734,800,500,800,502,649,724,107,501,282,800,501,502,501,501,282,649,649,501,649,500,649,193,649,502,502,282,800,500,501,501,500,649,500,258,502,500,282,282,503,501,800,500,503,503,649,282,897,649,501,502,16,500,16,502,502,502,502,943,503,800,502,501,500,282,500,800,800,502,592,503,500,502,500,649,800,649,501,503,649,649,800,503,500,282,500,800,649,501,800,800,503,500,800,848,502,502,649,496,282,107,282,501,16,318,107,501,502,501,500,503,500,501,502,649,16,36,800,649,649,500,502,501,317,502,800,501,84,103,503,501,502,135,500,501,503,800,800,503,503,175,800,860,503,340,649,553,503,800,774,649,503,800,649,545,241,800,968,649,501,503,694,503,501,500,502,649,860,649,501,500,500,501,282,503,503,500,501,500,800,282,800,503,501,649,500,501,800,649,107,501,501,649,649,500,501,714,503,503,501,649,16,502,502,649,500,649,800,503,500,649,800,282,501,800,500,501,535,649,502,800,503,214,500,502,282,800,501,503,503,503,649,500,503,800,649,800,502,502,649,649,100,282,949,503,500,63,800,501,800,503,800,463,502,649,502,501,107,501,662,282,500,871,500,503,477,502,501,683,504,500,502,800,800,502,502,615,503,649,107,503,800,649,433,800,501,2,282,800,500,503,503,16,800,501,800,16,503,282,282,500,282,502,500,500,282,282,500,502,649,896,819,213,372,503,800,503,649,502,16,800,583,649,16,800,502,503,500,283,500,501,503,504,503,503,500,649,501,501,502,503,500,501,501,500,502,502,502,800,848,649,282,870,500,501,800,503,649,649,503,800,501,500,503,501,107,821,502,649,501,800,649,503,502,800,336,16,800,500,504,649,503,501,649,501,502,649,501,502,500,503,500,89,503,800,770,503,501,800,501,16,800,501,500,649,502,502,500,809,649,501,649,504,502,501,500,501,500,503,649,961,889,503,649,649,956,800,103,502,501,500,649,282,501,649,501,502,501,504,501,503,800,501,501,555,503,16,503,800,800,501,800,649,16,649,503,282,503,501,649,501,649,500,500,501,649,16,500,800,500,26,500,500,187,649,503,502,500,500,16,121,107,800,502,16,107,649,767,800,503,401,500,282,502,502,503,503,135,800,282,293,800,502,503,501,503,468,503,502,385,501,649,503,503,649,503,500,501,501,503,800,107,800,834,649,500,500,500,502,284,656,16,649,25,649,500,800,311,649,501,800,282,500,501,800,501,500,501,501,800,649,472,282,800,504,502,687,282,500,501,501,649,282,500,504,649,500,649,359,502,502,16,800,503,16,502,502,500,501,503,282,800,649,500,500,649,948,649,800,502,301,16,503,503,800,501,502,501,282,848,503,501,649,649,503,649,503,800,649,649,501,16,503,800,503,800,16,649,649,800,649,501,502,107,502,503,62,16,649,503,687,500,800,282,690,503,16,502,502,500,501,501,502,500,523,649,172,503,741,502,282,800,282,502,503,331,500,501,800,282,501,502,800,503,800,500,502,387,502,282,107,99,502,501,800,800,799,800,649,16,503,502,800,800,500,282,500,282,502,649,502,501,500,503,16,501,649,82,502,503,503,380,16,800,500,367,503,500,500,500,501,583,800,282,500,501,16,501,649,282,502,800,501,502,500,501,503,502,649,397,503,502,800,502,546,800,500,616,503,649,503,848,503,649,131,649,16,522,500,800,649,495,503,266,503,500,741,502,800,502,502,500,500,649,501,503,501,501,16,501,500,503,79,800,800,649,501,99,502,784,649,282,282,800,501,501,503,502,649,502,501,800,649,503,503,502,502,501,800,282,107,984,500,800,502,501,502,800,500,649,500,649,501,282,800,800,649,800,504,705,512,502,500,501,132,649,502,800,502,16,502,649,503,501,800,501,468,503,502,649,282,649,594,800,502,800,204,501,649,502,500,649,503,502,800,103,282,649,503,503,414,503,442,503,503,503,649,501,282,800,800,502,502,282,282,649,503,502,735,500,500,649,503,501,502,800,649,502,155,503,331,504,502,453,282,501,500,649,501,737,503,500,282,500,502,572,800,800,500,831,501,649,500,501,501,649,502,282,507,649,800,427,456,500,500,503,501,649,705,503,800,545,821,503,649,502,503,501,998,282,502,800,503,503,649,269,16,16,16,504,649,800,107,502,103,503,282,16,282,629,649,501,562,55,691,800,282,503,500,501,501,502,16,502,504,176,800,649,800,800,649,500,504,503,501,681,500,347,500,649,503,589,282,500,282,710,501,500,501,16,649,503,282,500,502,649,282,503,649,502,706,501,800,502,503,502,501,500,503,500,501,800,503,501,502,800,500,800,810,501,501,502,503,502,501,800,649,501,649,503,502,282,282,282,514,502,649,649,502,649,501,501,500,501,500,501,649,458,800,500,784,503,500,500,282,502,432,500,500,634,501,503,649,649,877,338,800,800,525,501,649,500,502,501,502,501,501,649,501,800,504,503,800,502,500,800,500,501,282,824,503,649,800,649,282,500,800,502,503,649,649,16,800,282,502,800,444,501,282,501,282,501,800,390,282,501,501,502,649,649,800,501,800,800,501,501,503,503,107,501,649,500,502,503,649,800,649,500,500,800,501,282,649,500,502,502,502,500,502,501,649,16,501,800,500,501,649,282,501,502,800,503,502,501,800,649,502,800,501,501,800,946,708,501,649,800,500,429,500,503,643,503,282,502,503,503,503,649,504,500,282,127,502,800,500,500,500,107,800,502,500,502,502,649,649,187,502,500,500,282,500,649,649,331,800,800,103,800,16,502,500,88,282,503,800,502,649,500,503,10,517,16,649,501,503,291,502,649,500,800,800,649,649,501,501,800,502,649,500,501,800,16,501,500,16,649,500,502,649,500,107,800,649,689,502,799,800,800,800,282,166,649,894,649,502,500,800,800,500,500,503,800,800,157,282,500,501,500,500,500,502,800,502,502,282,504,649,295,677,800,676,503,501,921,800,679,797,500,282,501,16,501,800,282,502,482,800,501,500,649,500,654,501,502,800,501,503,501,800,16,503,282,800,500,273,705,501,503,502,649,500,407,649,386,649,500,282,800,16,282,282,800,500,502,504,371,168,500,282,500,282,282,800,800,503,503,504,503,502,502,501,500,875,503,503,649,282,502,503,500,502,501,500,649,876,502,649,649,503,800,501,649,649,503,501,630,800,502,16,501,186,500,800,504,502,649,501,951,501,800,501,649,46,16,501,502,500,114,501,800,187,249,313,649,455,501,503,353,16,928,282,500,500,649,501,501,825,649,395,501,800,537,503,500,16,501,500,501,502,106,503,500,501,16,503,977,504,500,500,501,800,500,649,649,500,502,668,649,107,649,503,502,661,503,503,503,502,282,282,649,282,503,503,501,502,502,307,800,649,501,649,503,503,503,503,800,649,899,501,501,282,502,502,501,502,501,282,501,649,501,907,282,501,649,501,800,501,502,503,503,503,649,282,503,282,500,282,500,503,800,649,503,500,504,800,103,370,502,16,16,501,86,503,502,500,727,282,800,500,501,501,503,501,649,649,282,800,502,503,16,649,979,503,503,852,282,503,376,649,501,503,649,502,504,705,501,649,800,446,501,800,503,502,282,502,649,282,649,130,500,800,800,500,503,800,503,282,500,500,502,501,503,800,501,501,503,843,503,649,502,504,501,282,503,800,500,800,467,501,500,595,501,282,504,800,502,649,503,800,503,503,649,502,800,800,503,500,380,500,282,500,500,501,503,501,416,649,649,649,282,502,501,103,107,16,500,649,662,578,16,502,649,503,800,957,649,500,16,503,500,503,503,501,800,500,500,800,500,501,800,501,502,504,282,501,845,503,504,500,502,25,282,502,500,501,541,500,800,168,501,417,649,502,502,501,500,500,649,500,503,891,500,502,501,502,800,282,501,16,502,800,501,800,501,649,800,504,500,234,649,168,502,503,503,800,503,501,501,800,465,800,501,282,503,649,500,206,428,500,503,500,500,503,501,501,800,502,800,800,188,800,492,503,501,800,282,503,222,501,503,503,502,800,503,376,800,16,504,800,354,282,16,501,502,800,503,16,501,800,800,649,282,503,503,503,502,800,649,501,502,282,800,501,800,503,649,501,107,800,282,649,47,649,501,503,503,649,503,107,642,649,800,649,426,503,501,649,800,503,800,503,800,500,328,500,503,649,500,504,500,500,929,500,405,503,800,308,502,649,503,503,501,800,501,282,800,503,503,502,282,503,503,501,649,635,649,500,649,16,800,501,649,16,651,282,500,501,282,272,649,503,649,500,601,501,501,503,502,502,501,500,649,16,500,649,282,503,746,502,649,502,500,720,426,649,649,503,501,502,610,35,649,800,800,649,500,155,800,800,504,500,282,800,691,800,502,282,500,501,800,502,853,503,800,649,503,503,502,282,800,503,649,501,649,609,500,16,16,649,16,800,500,800,503,282,649,282,470,503,16,501,501,282,649,800,502,202,500,503,267,282,502,501,503,800,282,282,649,282,107,503,502,500,503,503,282,16,500,503,503,649,445,649,393,649,501,501,504,501,502,502,502,502,501,504,501,503,282,501,500,800,500,501,503,649,504,649,500,502,500,800,501,503,504,502,272,501,800,501,500,500,800,705,504,501,800,503,649,995,800,800,502,501,502,800,107,502,501,282,282,800,800,800,282,649,502,502,500,98,501,649,800,500,501,500,34,501,282,468,54,500,282,501,800,502,502,502,500,502,762,503,502,800,501,800,800,500,649,502,70,503,130,282,115,500,501,649,800,649,282,503,282,800,649,282,168,503,649,836,500,502,500,800,953,500,500,282,500,501,649,282,800,502,16,500,501,558,800,972,282,16,503,800,503,501,649,958,282,633,501,502,21,500,805,807,501,502,649,501,502,502,955,282,758,800,502,502,501,800,282,800,282,800,503,800,800,503,649,282,649,800,282,502,500,538,800,800,500,503,649,800,500,500,500,502,503,501,649,502,802,282,394,503,500,107,500,949,705,800,282,502,649,502,455,503,500,800,500,282,502,503,800,800,501,501,800,800,502,503,501,942,503,500,503,502,504,282,800,103,501,502,502,649,501,282,501,500,502,16,649,502,649,501,282,800,649,750,104,800,503,282,501,503,501,503,948,16,501,503,502,500,16,649,649,502,208,500,501,500,503,800,500,649,615,504,503,649,649,503,501,16,501,503,501,501,501,500,501,502,282,240,800,800,502,649,500,500,649,503,282,500,501,500,500,800,500,800,502,282,503,502,800,282,502,500,502,501,282,500,500,16,800,503,500,649,807,800,16,649,502,502,501,502,765,899,504,7,800,649,504,649,800,800,500,500,282,501,800,500,502,502,501,614,502,500,649,35,800,500,500,649,502,503,356,501,503,503,500,800,501,501,500,800,649,649,16,649,705,800,502,500,503,503,502,504,500,649,555,649,501,503,501,503,292,924,501,30,502,500,649,282,705,648,768,649,501,501,503,502,500,501,502,503,500,649,500,16,282,16,500,800,282,503,503,800,800,500,800,800,649,282,800,649,502,713,501,502,16,503,213,501,495,800,356,649,502,501,649,649,104,887,504,649,649,800,501,282,800,966,800,649,649,501,800,502,176,800,658,358,649,282,500,500,649,503,282,502,502,485,915,231,649,800,649,210,500,501,649,502,501,502,633,800,500,503,995,800,503,503,503,502,649,500,502,502,503,282,282,501,500,68,649,16,649,501,800,500,501,503,649,511,282,501,500,88,649,569,16,282,503,503,282,649,503,502,502,501,282,502,800,500,503,500,502,502,282,501,500,649,649,504,501,502,500,649,410,503,501,502,800,502,502,649,16,501,163,800,75,800,800,504,501,107,500,502,500,501,500,502,355,501,800,500,800,649,649,599,502,649,282,649,501,500,504,800,503,501,503,500,500,649,649,800,500,501,500,500,800,800,807,503,501,500,502,16,502,503,503,649,500,501,649,503,800,500,16,503,800,282,503,282,501,649,502,649,649,502,503,503,649,649,107,502,501,816,501,503,503,503,800,800,503,502,500,800,503,16,501,649,678,503,502,678,902,282,800,501,503,500,282,501,936,649,136,800,500,860,503,503,649,503,500,503,502,486,501,302,503,709,16,800,800,501,649,649,282,501,92,501,502,500,800,16,282,649,649,503,502,282,576,800,599,501,282,919,503,501,16,501,800,800,800,649,500,800,800,500,800,800,503,103,649,502,501,649,649,501,501,605,500,800,800,501,501,282,649,501,649,343,503,505,103,107,238,649,500,800,502,649,272,282,501,282,800,800,221,282,800,282,503,502,282,16,16,501,503,16,500,649,649,739,416,500,503,501,282,649,502,267,800,501,649,800,16,503,503,501,503,282,500,502,16,649,501,800,503,800,502,800,500,282,16,502,502,503,800,800,503,282,973,503,501,649,800,277,503,501,502,16,800,501,16,91,502,800,504,503,503,649,503,807,282,495,503,800,501,503,282,16,503,501,503,503,501,502,800,502,534,502,501,174,504,502,501,503,282,105,352,504,501,501,500,638,501,16,501,503,503,107,800,502,16,503,800,649,800,502,500,800,171,501,501,502,501,228,503,800,500,501,501,501,361,500,500,500,800,501,502,500,501,649,649,500,500,503,503,649,501,282,282,514,649,501,502,502,800,500,502,502,502,502,800,501,800,503,503,503,503,502,502,899,800,649,500,501,502,697,800,807,500,800,800,501,502,800,282,501,504,649,800,616,649,501,649,282,501,122,501,800,150,16,503,800,973,107,410,501,502,370,500,23,503,501,503,16,501,501,502,649,501,502,503,800,800,501,649,501,649,501,282,502,800,503,500,500,503,502,282,502,500,502,503,574,500,501,500,503,705,282,800,500,503,649,502,282,501,501,502,800,649,503,800,800,502,800,800,649,649,282,7,500,1,504,979,501,500,501,320,500,500,503,16,800,502,649,501,502,503,649,503,649,16,807,800,501,601,649,800,800,501,503,585,500,502,800,103,504,277,800,800,569,500,800,800,503,649,649,800,501,800,500,502,502,197,649,500,807,503,502,800,75,501,500,500,282,861,282,735,503,807,18,926,501,501,500,800,649,649,649,502,649,649,500,500,649,154,178,148,882,500,453,503,800,500,800,501,800,503,500,800,501,500,500,106,649,627,502,282,649,500,503,800,500,504,503,504,503,461,501,500,282,502,649,500,502,649,501,501,500,694,223,282,503,504,638,649,16,157,502,800,800,800,282,649,501,500,800,649,649,501,94,500,521,282,611,501,500,503,501,321,649,501,169,502,202,501,282,16,501,502,502,282,500,500,282,800,503,500,282,649,800,502,107,500,501,503,502,500,541,649,16,503,594,16,500,501,491,500,501,503,489,649,103,500,800,355,501,800,800,755,568,649,649,16,500,998,500,503,502,502,500,101,710,779,503,501,501,502,657,503,478,482,649,454,501,501,502,416,501,800,500,16,800,500,440,501,16,16,502,504,500,800,503,179,504,649,571,827,282,502,502,60,800,502,689,16,501,503,800,500,501,502,500,502,649,501,649,463,500,761,502,16,282,502,717,500,649,504,683,483,649,16,503,423,503,501,501,649,795,503,800,649,500,517,800,649,500,501,501,282,501,649,503,583,800,501,602,807,800,800,500,649,444,502,377,501,501,500,16,186,284,500,500,282,800,502,500,166,649,500,500,500,502,649,503,800,503,800,502,500,503,649,800,502,113,503,503,503,501,500,503,830,503,282,502,502,502,800,800,502,500,649,800,800,103,503,649,502,800,501,16,501,503,501,734,975,989,57,649,500,282,502,282,649,649,503,16,649,800,282,649,500,503,500,501,500,649,432,502,649,500,503,500,593,501,282,565,502,502,501,501,503,501,503,549,800,800,800,502,502,800,502,501,125,503,649,649,502,649,649,501,649,649,503,16,800,503,502,649,800,688,502,282,800,649,503,649,501,649,500,800,503,500,800,649,502,649,503,649,503,952,503,800,800,832,501,504,501,649,502,457,502,649,800,503,16,502,800,282,800,503,16,502,800,812,800,501,649,503,649,800,800,818,800,800,502,800,800,919,502,16,502,800,789,502,649,800,501,501,502,502,649,649,649,503,502,800,503,649,500,501,649,501,282,936,16,649,99,503,503,16,282,435,36,502,501,107,640,649,800,103,649,500,282,504,502,747,501,107,501,800,649,16,649,500,501,501,189,800,503,649,503,800,500,503,502,800,649,731,501,503,666,282,649,502,886,501,16,503,503,503,800,800,800,312,500,501,500,500,800,501,500,566,282,800,800,502,16,282,800,399,503,502,503,282,502,502,500,800,649,502,503,500,16,500,502,800,503,96,984,56,502,500,500,503,500,103,502,649,800,501,800,166,800,503,814,501,282,649,501,649,610,500,501,649,501,901,501,649,800,114,282,743,632,799,500,500,501,649,16,586,502,282,502,649,282,649,800,500,500,500,502,282,36,503,501,504,649,500,500,502,800,483,501,500,503,800,649,503,501,500,501,501,502,800,501,800,504,500,800,800,502,503,800,500,504,501,800,501,800,649,503,501,501,800,282,649,500,500,503,501,282,502,800,923,502,649,503,501,502,504,162,649,501,503,500,500,517,501,800,649,503,800,800,800,502,649,500,282,800,649,500,503,503,800,503,501,501,649,649,16,502,504,991,501,501,500,649,814,800,666,800,503,501,502,800,502,501,500,500,501,649,161,16,500,501,800,978,503,503,363,500,500,502,502,353,502,649,503,503,500,501,502,503,501,503,649,503,649,503,282,649,500,500,800,501,501,503,502,502,501,501,501,501,500,503,800,500,502,16,500,503,502,103,500,500,800,800,500,500,501,282,500,649,800,503,500,500,502,502,263,649,500,501,501,649,800,501,649,649,503,503,282,276,501,500,502,503,16,800,503,500,282,501,800,502,800,501,649,500,502,282,501,282,500,800,16,501,503,23,504,503,500,252,354,255,224,800,502,800,501,649,282,501,502,753,800,950,500,504,502,85,502,501,500,503,282,500,503,282,500,503,500,800,563,502,500,501,649,502,800,16,282,503,800,503,282,649,502,501,503,944,502,649,649,502,503,282,501,503,501,649,503,503,282,502,502,282,649,501,500,649,630,501,800,500,503,649,649,800,500,501,500,500,649,282,502,502,503,16,502,501,503,501,800,717,649,502,557,800,715,502,26,748,649,798,16,649,800,503,16,800,649,500,502,502,649,502,282,649,500,975,500,500,800,502,16,800,500,503,800,503,793,500,501,501,637,500,282,16,502,503,649,504,649,501,800,503,800,503,282,500,501,503,502,503,649,500,503,163,778,800,503,500,649,503,501,504,282,503,504,651,282,807,500,502,501,500,649,282,500,502,437,16,501,501,503,800,282,502,800,503,800,16,502,800,502,502,282,500,503,502,800,385,502,16,502,503,16,501,503,282,500,845,83,502,800,501,649,501,573,501,501,503,800,502,649,282,501,800,501,503,502,282,500,503,662,502,649,502,502,503,500,503,282,500,649,501,500,173,800,360,462,500,501,503,501,331,649,649,502,500,38,649,500,649,500,800,500,503,502,800,503,503,502,501,503,649,503,16,649,500,501,649,503,800,649,800,501,500,800,501,502,800,800,500,282,500,503,502,649,500,503,634,503,502,967,500,649,649,649,649,501,218,504,502,649,503,502,500,502,381,702,500,649,800,800,416,146,504,500,800,502,501,800,800,501,282,143,503,500,10,502,502,649,16,502,649,502,649,107,330,502,503,16,500,502,501,800,502,501,955,88,233,500,502,500,649,107,649,282,282,649,649,649,649,503,631,500,501,649,348,282,500,800,800,502,16,649,282,503,501,500,984,502,500,649,500,500,498,501,500,502,800,744,800,503,501,502,649,16,848,103,649,501,220,649,649,500,649,503,500,979,502,500,405,501,502,800,649,282,649,649,587,649,649,501,800,800,649,649,501,282,503,501,29,16,502,649,282,501,503,282,800,800,503,800,501,912,503,501,501,503,500,500,705,752,502,503,649,501,500,502,649,800,800,500,503,16,649,649,649,502,864,649,800,482,705,500,504,800,522,501,649,649,56,940,897,935,503,649,502,583,503,800,500,282,649,503,502,282,612,503,16,503,649,502,503,800,501,503,501,649,502,649,501,146,107,649,500,649,503,501,356,503,500,875,800,700,16,800,649,503,503,282,514,649,503,500,807,800,366,800,502,503,502,502,502,501,800,893,502,649,800,282,26,800,500,649,649,649,502,503,807,800,504,503,502,800,502,503,502,543,791,501,619,501,570,800,800,231,649,501,500,503,500,500,800,649,649,500,282,501,354,500,503,863,500,649,503,500,500,501,501,501,800,649,939,501,649,800,649,800,503,501,282,503,501,503,16,500,282,397,800,800,502,500,502,107,500,502,800,261,835,16,51,16,501,790,502,500,503,800,649,800,502,500,649,649,503,800,504,501,649,649,501,521,16,501,500,503,734,500,649,502,500,501,500,500,800,501,503,501,800,657,649,502,500,503,503,500,16,502,649,675,800,502,501,501,502,500,502,800,503,501,282,800,649,500,800,501,504,502,501,500,501,649,502,282,800,800,501,977,282,800,800,986,502,282,649,502,501,500,800,502,502,549,500,400,500,500,501,503,649,503,649,56,500,502,282,503,501,282,501,500,501,800,800,500,628,502,800,649,501,503,649,649,500,501,500,501,500,501,502,501,501,800,503,501,501,501,800,500,800,503,282,502,502,500,501,501,800,500,690,107,503,800,503,649,501,800,502,501,404,649,500,500,501,501,16,501,500,504,259,501,502,800,503,282,503,503,503,501,503,502,107,649,251,800,800,16,501,503,649,501,503,502,282,503,502,800,503,800,266,502,500,500,800,500,800,500,500,282,649,500,649,649,282,800,53,502,16,503,501,502,800,800,502,500,282,502,500,649,649,500,800,503,547,467,649,649,260,501,282,500,909,649,649,282,107,500,500,800,500,503,16,501,502,16,800,500,649,503,500,873,502,800,503,503,501,501,504,800,504,897,503,503,649,481,649,16,649,502,282,501,502,503,501,282,964,501,504,649,501,503,649,502,489,503,500,107,502,800,649,500,502,800,502,502,503,649,501,800,790,406,501,800,649,282,763,162,500,500,503,800,501,800,502,148,502,282,501,501,501,282,503,107,800,501,282,800,502,800,694,830,500,502,649,503,501,503,649,503,800,185,800,282,282,5,282,800,476,649,601,501,502,65,282,501,503,800,539,649,504,944,502,800,501,649,107,503,502,502,800,800,16,503,500,649,800,16,502,500,502,16,187,500,503,356,649,16,800,649,282,91,501,500,649,800,501,502,502,16,502,800,501,800,502,649,16,503,800,500,874,649,501,500,502,500,800,502,649,800,649,800,500,800,16,175,800,738,503,800,282,16,370,273,282,500,503,500,502,500,501,503,800,502,16,502,649,649,501,16,16,282,800,501,501,282,501,649,800,800,501,503,649,800,501,501,800,649,151,502,502,649,133,649,504,502,800,503,282,501,500,503,503,502,16,282,282,500,501,800,503,800,800,500,502,503,502,421,503,800,502,649,282,649,500,16,501,502,501,500,282,16,800,503,800,501,282,649,649,800,282,503,800,800,503,649,503,800,502,16,282,16,649,500,500,649,282,754,591,501,649,16,282,800,501,649,6,500,502,500,800,837,884,502,800,502,501,282,282,500,500,503,501,500,502,649,504,502,502,649,16,649,503,838,898,500,649,501,282,502,548,500,800,500,501,502,500,649,500,649,649,503,503,16,502,649,800,500,501,501,502,500,502,800,501,649,800,282,504,503,800,500,649,800,107,649,500,339,800,800,282,649,623,800,500,649,502,502,503,501,503,282,800,501,500,282,649,503,500,800,649,282,800,282,800,800,501,503,502,282,500,193,502,649,282,501,501,395,800,649,500,923,649,282,649,503,648,800,502,500,503,800,502,649,16,649,501,709,189,401,503,649,291,649,800,503,503,649,503,649,800,501,500,800,187,939,503,649,800,501,705,500,500,502,800,800,649,500,800,503,503,502,501,503,728,501,500,501,753,500,503,676,544,501,501,502,503,500,544,502,649,501,800,501,501,503,649,503,282,800,649,282,500,502,800,649,501,503,500,502,649,649,501,502,800,649,501,982,292,503,503,501,502,503,503,501,649,502,282,282,800,649,502,800,501,500,502,502,649,282,649,503,16,501,16,502,500,282,501,501,766,501,649,800,649,501,501,649,811,649,58,649,501,800,503,85,282,502,503,85,16,800,503,16,800,500,500,39,500,368,502,935,649,549,649,282,501,502,16,503,502,107,800,501,503,800,800,503,800,502,503,503,500,503,501,500,500,947,503,503,800,500,800,649,502,198,800,800,800,518,501,649,649,502,16,800,649,501,503,282,536,282,370,800,282,282,786,501,494,503,501,503,710,502,800,501,501,503,800,649,649,282,502,500,501,502,501,345,918,800,648,501,503,503,800,649,500,503,786,501,649,502,502,500,649,800,800,503,800,800,503,513,503,503,800,503,500,500,649,500,800,500,800,649,503,800,502,659,501,502,282,501,501,692,501,649,502,502,649,84,542,503,16,503,502,800,780,503,16,500,500,504,772,282,282,142,501,703,500,151,502,503,800,502,246,503,649,501,282,800,649,16,649,614,800,244,107,102,649,207,103,500,16,458,800,503,500,502,502,501,282,556,282,500,500,282,502,503,649,502,501,800,501,800,504,504,649,17,649,500,800,16,503,800,800,649,501,649,500,800,317,649,500,502,503,502,282,282,649,649,500,503,649,800,800,500,800,800,500,800,500,502,649,502,503,503,502,800,503,649,501,800,501,503,738,649,103,503,502,16,800,107,503,800,503,500,502,800,649,800,501,800,800,501,500,649,501,734,501,502,502,501,800,501,649,503,841,500,30,502,800,503,503,503,649,406,800,649,649,503,502,649,649,503,502,888,793,282,501,503,500,502,503,649,500,501,800,503,800,501,503,502,431,501,282,282,649,649,282,503,677,501,502,504,502,649,784,503,800,800,542,500,502,282,502,980,502,502,501,765,503,501,16,500,500,649,649,388,670,170,800,16,503,501,800,501,503,501,97,502,150,501,502,649,500,503,500,649,649,103,502,875,46,500,503,500,501,500,501,501,777,282,713,500,500,504,500,503,649,800,800,800,16,111,107,501,426,503,501,649,500,503,678,502,282,649,143,649,501,500,868,800,800,674,500,500,503,501,502,500,649,663,501,503,649,502,503,107,282,649,16,502,282,501,649,503,501,16,502,503,501,502,503,500,261,500,502,500,502,649,282,282,821,503,649,282,282,503,502,800,282,16,800,500,771,649,500,282,500,503,800,504,282,800,58,800,194,282,649,502,502,501,649,501,502,282,16,282,501,502,200,500,486,503,503,500,649,282,649,800,282,500,500,800,16,276,213,500,800,503,503,800,502,649,107,514,502,16,502,16,501,503,502,501,649,800,718,800,500,501,500,649,800,227,501,800,502,503,634,502,367,800,720,502,502,501,649,502,800,206,503,503,800,16,500,500,649,500,929,501,502,241,501,503,107,503,90,800,500,649,800,649,502,501,503,800,503,500,501,103,800,978,502,800,502,500,500,800,649,500,500,502,500,500,800,800,501,501,668,500,800,501,107,649,502,502,282,649,501,16,177,502,503,411,649,16,98,503,649,282,500,649,800,503,521,109,504,16,500,500,800,178,649,503,715,282,500,500,800,502,503,502,503,500,999,649,282,502,722,500,282,501,502,501,500,16,800,310,502,560,649,649,500,503,502,16,649,800,16,500,649,500,800,800,503,501,503,502,649,500,800,921,800,247,500,503,504,501,107,502,800,502,383,800,502,800,502,800,68,503,800,649,503,800,649,501,503,501,649,649,649,800,503,921,500,16,649,503,649,502,503,329,649,501,502,649,800,641,800,800,800,649,604,501,705,500,800,500,556,501,501,501,107,800,502,504,282,282,500,476,800,282,503,503,503,500,501,503,501,798,649,721,502,800,501,503,649,705,501,500,501,502,503,282,503,503,800,504,282,500,649,282,500,649,502,502,502,501,503,282,649,282,502,616,500,800,501,502,103,649,503,503,800,649,503,282,282,503,500,500,649,282,502,503,282,503,800,500,501,682,649,649,503,16,341,59,503,501,503,500,846,16,501,501,504,502,649,107,502,503,991,500,649,282,800,649,501,502,502,649,503,282,649,553,502,501,500,649,649,649,501,16,502,503,103,218,111,500,800,107,800,502,282,502,502,800,800,909,167,500,649,501,501,503,500,504,254,501,649,502,502,609,800,500,503,800,584,649,500,502,649,800,501,503,594,800,649,502,800,447,500,501,800,649,282,502,500,649,16,800,123,649,800,649,503,500,282,16,819,649,503,475,502,649,501,649,503,129,800,156,501,282,501,504,800,800,501,503,502,649,501,282,800,939,768,501,800,501,22,282,502,502,649,16,649,755,282,649,504,504,599,502,503,649,501,503,502,725,800,500,501,800,235,649,503,501,282,503,282,800,649,500,800,503,502,800,500,107,800,461,501,502,500,192,800,502,719,501,504,502,282,649,504,502,649,501,503,500,811,500,502,503,500,500,500,649,501,107,500,500,500,500,282,501,503,501,16,649,649,500,503,282,502,500,786,800,800,282,501,800,743,503,501,503,649,16,500,800,501,502,649,649,762,502,649,503,649,649,800,501,502,282,649,503,502,500,282,502,649,800,500,501,800,503,987,800,649,500,503,503,502,685,500,649,800,16,649,500,501,800,800,501,503,282,649,800,500,503,800,504,503,501,866,800,502,800,500,649,649,818,649,800,503,500,649,649,500,649,800,502,649,500,649,500,501,501,504,502,500,282,282,638,16,649,16,502,107,500,649,502,800,155,401,500,502,16,501,503,58,503,649,501,500,56,502,500,320,503,500,503,966,501,800,800,800,500,800,529,500,503,502,160,800,613,286,282,502,800,500,282,800,785,502,500,649,502,502,502,502,500,502,500,649,649,501,649,501,800,921,800,510,16,502,282,671,649,502,503,800,503,249,501,504,230,504,502,503,500,989,919,98,152,502,649,502,649,503,503,180,649,503,502,800,504,649,502,103,502,649,500,282,501,501,500,800,500,649,969,501,54,503,503,325,502,503,504,501,649,502,800,225,500,501,502,800,501,800,408,649,649,501,55,500,502,500,800,282,500,503,282,500,800,502,501,649,107,762,503,800,649,800,111,66,800,501,503,502,800,501,500,503,503,292,649,501,501,649,501,45,503,282,501,502,500,503,501,282,503,503,649,16,16,649,787,501,674,282,503,968,502,649,503,502,282,502,502,545,501,342,501,500,500,800,503,503,501,800,649,114,501,503,500,649,503,70,649,503,503,504,503,649,500,687,501,503,501,800,500,32,503,649,282,649,800,500,16,502,649,501,500,649,500,196,16,503,503,282,649,500,282,932,384,500,403,351,800,800,282,649,282,873,800,500,409,752,502,502,282,502,649,282,502,503,800,501,649,501,649,626,500,800,502,649,800,282,649,500,503,800,501,293,492,501,843,800,800,103,502,503,16,107,897,503,500,800,503,503,503,501,203,502,282,500,501,16,503,613,503,16,502,500,501,500,800,282,504,500,502,282,502,800,649,649,503,503,272,500,20,800,771,649,503,501,500,16,501,256,800,649,501,282,503,503,649,501,16,791,501,503,501,502,649,502,502,697,649,800,502,502,107,503,500,503,504,501,800,956,503,649,501,503,282,501,107,182,800,500,500,800,649,769,611,800,504,649,502,649,503,581,501,502,503,503,501,501,800,649,649,500,649,649,412,503,500,501,800,502,800,16,107,503,755,649,282,800,800,502,502,408,864,282,649,282,503,501,800,649,500,503,491,503,504,800,787,649,502,800,502,502,501,800,501,282,500,502,502,732,800,503,500,282,343,501,679,500,500,504,649,845,502,818,649,778,800,501,504,501,344,500,501,500,502,502,501,501,502,649,103,503,800,501,649,502,107,503,649,501,9,502,501,503,649,503,16,500,800,501,282,16,500,502,800,503,501,649,503,502,649,501,800,800,800,472,649,503,503,239,502,649,500,502,500,502,500,503,502,984,800,503,501,500,823,500,649,503,501,800,500,502,501,501,500,564,503,800,501,282,503,649,422,649,503,500,503,500,649,501,502,649,605,649,58,500,800,649,503,282,500,649,705,800,649,800,503,87,649,535,502,502,649,267,16,600,898,501,623,800,282,500,503,503,500,501,500,282,558,502,502,502,502,502,502,649,504,800,16,503,649,503,504,503,800,502,800,800,504,502,16,649,500,649,501,503,504,165,649,501,649,961,502,502,282,503,178,500,501,107,800,503,107,757,501,16,282,502,26,501,649,503,500,129,649,800,649,501,769,502,649,500,800,282,169,649,500,800,282,248,500,649,501,500,87,500,282,649,486,503,502,500,800,800,503,282,282,800,500,649,800,16,503,501,503,503,649,501,800,800,800,503,503,500,649,282,502,502,800,504,282,800,501,995,98,500,500,649,800,503,16,502,800,502,504,800,649,501,501,771,500,649,501,16,649,649,528,504,800,503,500,100,800,501,500,282,500,502,542,282,502,501,282,649,800,649,800,917,800,501,800,800,800,501,503,649,502,504,504,705,800,502,501,503,501,685,282,297,502,589,649,502,500,503,504,282,649,501,800,500,503,503,500,800,504,282,800,800,503,503,502,501,501,649,3,389,686,800,236,501,504,502,649,800,983,503,800,800,503,503,649,501,501,107,649,501,501,800,500,649,282,649,282,800,282,282,503,500,501,501,503,503,282,502,649,502,500,502,800,501,778,282,502,503,311,800,800,649,504,649,800,502,502,500,501,800,452,800,282,800,502,501,649,500,504,282,858,649,800,501,649,555,502,504,16,501,502,501,660,800,574,502,502,800,174,501,800,649,800,649,103,800,502,500,16,800,800,649,502,649,364,502,649,500,501,282,504,503,500,233,267,503,501,501,800,502,800,860,502,503,282,501,503,282,800,649,502,500,800,500,16,503,502,501,800,503,649,504,649,501,800,649,282,503,21,800,503,500,86,500,501,503,501,800,502,500,504,500,282,503,800,503,500,800,16,503,501,500,502,649,503,502,503,800,501,502,649,387,503,807,388,504,282,503,735,502,504,502,800,800,500,649,437,502,649,500,984,800,800,501,649,649,800,500,282,649,800,502,282,502,503,500,501,800,500,500,503,504,502,94,500,649,501,649,502,500,500,800,500,501,502,800,282,501,500,282,501,282,16,500,630,502,282,501,501,16,30,500,500,16,500,500,649,503,191,800,16,800,500,16,503,604,503,503,500,830,800,962,502,879,501,502,503,500,800,282,503,502,649,501,501,501,800,800,503,308,502,649,501,649,500,649,649,800,649,476,501,800,800,500,176,503,503,525,800,800,504,502,500,649,503,649,16,500,500,649,444,500,16,500,649,225,503,501,459,119,502,501,800,800,501,500,500,649,503,502,235,800,163,503,500,829,503,503,649,500,502,800,649,602,282,649,501,964,502,853,61,800,800,503,16,800,800,501,504,282,500,501,501,503,282,649,282,16,502,282,503,942,649,889,800,501,729,502,16,501,16,16,502,502,503,16,649,501,502,501,649,503,502,282,68,503,502,502,551,502,680,501,501,502,500,500,502,501,500,504,800,649,222,501,800,501,479,16,501,16,501,360,71,649,504,500,649,16,649,502,282,500,182,503,502,800,501,800,800,500,800,16,16,800,690,800,975,502,282,502,500,502,500,502,501,503,800,851,192,282,502,668,107,800,800,500,500,282,502,708,502,502,500,501,282,82,501,800,501,923,502,500,502,501,162,503,501,501,649,649,500,649,649,282,649,500,502,500,501,502,282,500,649,169,504,502,504,502,502,649,502,500,503,649,649,502,500,502,619,468,500,501,649,16,649,502,503,54,800,472,649,675,649,500,502,800,500,649,282,500,504,800,282,649,511,310,503,501,502,500,500,501,500,649,503,800,800,649,649,500,501,649,16,501,842,285,502,501,502,500,800,501,800,503,649,500,649,503,800,501,230,800,503,501,16,800,502,727,944,649,649,800,16,649,501,686,649,503,502,800,502,501,503,503,502,502,503,282,800,16,282,501,503,500,16,503,500,282,500,282,800,502,502,500,282,800,501,649,503,500,500,649,107,500,501,649,501,16,547,800,282,282,649,649,501,800,500,501,501,800,16,649,539,16,500,501,501,503,282,503,103,235,649,502,502,500,338,500,282,502,800,502,501,500,500,503,800,869,649,500,500,503,800,654,800,898,16,282,282,649,16,500,501,800,501,800,536,501,541,649,649,16,500,282,5,503,649,501,501,800,159,800,649,800,282,503,503,649,503,584,503,140,800,500,533,649,502,502,649,501,501,16,649,6,500,800,649,501,649,710,501,502,503,800,500,503,282,503,503,649,501,649,500,282,800,800,649,502,282,282,800,502,503,901,500,500,16,649,502,800,800,800,649,687,501,661,16,501,502,649,503,500,800,16,500,877,649,503,800,468,649,503,501,282,282,107,649,649,501,502,282,501,597,502,502,282,16,103,223,500,503,800,637,649,503,649,800,649,141,502,800,503,501,800,800,649,800,500,404,501,502,500,500,500,503,502,800,501,124,894,800,800,282,282,586,501,501,282,282,503,500,590,800,502,501,16,501,500,502,771,649,502,500,800,282,649,500,500,501,502,16,502,502,800,649,502,502,501,503,502,16,585,503,16,502,504,503,649,503,501,501,500,504,503,649,800,649,503,628,503,502,649,580,501,480,501,503,680,16,649,502,502,501,503,835,800,800,16,910,268,649,627,649,502,503,800,501,501,500,501,800,501,503,500,654,649,282,649,503,501,16,502,800,503,503,800,500,282,501,500,161,282,800,800,288,800,817,501,800,503,500,501,502,649,649,649,619,649,502,16,502,421,500,13,501,840,282,500,252,16,649,504,501,502,501,800,800,800,649,765,502,502,800,501,389,649,649,649,500,649,282,502,282,282,504,800,503,16,500,500,502,800,502,60,649,503,501,940,501,649,800,649,800,503,800,800,503,800,649,500,800,649,800,501,649,503,502,649,500,16,500,782,649,282,282,501,502,800,502,503,501,382,16,501,126,500,503,500,503,107,649,800,601,504,500,502,502,502,501,503,501,800,500,502,800,107,800,503,672,502,503,649,503,500,501,500,103,503,503,503,500,877,500,649,800,503,501,500,500,500,502,500,649,16,503,503,997,800,649,501,503,503,649,502,649,503,800,500,500,639,501,500,502,800,503,500,649,500,346,649,695,358,649,18,501,501,503,649,919,501,486,503,800,502,800,282,501,649,282,800,500,503,501,411,501,649,31,616,500,501,500,503,492,649,502,500,501,974,282,500,832,605,503,881,865,500,502,800,800,502,502,649,649,800,649,649,502,282,501,282,649,51,800,503,800,502,961,502,500,800,800,502,800,324,846,16,474,79,107,800,500,501,649,501,500,500,503,947,500,500,800,800,501,800,501,500,500,503,501,503,800,800,649,800,648,553,502,503,282,504,504,500,183,502,503,736,503,503,800,800,502,503,501,503,500,503,500,800,500,649,501,282,501,500,649,649,649,202,800,800,955,501,800,800,800,500,502,501,502,500,800,500,627,501,502,502,501,649,649,638,800,282,503,224,500,502,502,502,282,800,244,503,503,503,649,502,649,282,800,75,501,107,501,649,502,649,500,800,501,16,88,500,800,503,800,502,800,500,649,800,16,800,966,502,800,502,500,502,282,8,140,503,503,533,252,503,857,500,504,504,502,16,282,770,800,649,502,800,948,800,649,503,649,502,501,503,800,503,800,872,503,501,800,501,500,502,282,502,384,282,112,649,500,649,500,913,282,649,21,800,501,503,857,502,500,103,503,649,502,740,282,502,502,502,503,502,649,501,501,800,649,502,502,502,800,649,16,282,501,371,206,502,800,500,501,502,878,800,500,500,757,500,800,502,500,282,649,800,500,282,670,500,500,501,501,502,502,800,500,794,649,16,16,800,500,503,820,500,671,503,502,282,282,389,800,649,503,503,501,502,649,501,500,500,800,800,788,501,649,358,502,243,649,800,502,530,800,949,16,500,649,404,649,649,501,500,800,800,16,563,16,800,800,500,800,649,501,502,500,502,649,502,800,649,503,503,501,649,649,800,800,800,241,503,282,800,800,800,649,139,500,649,649,649,65,558,800,649,800,649,500,16,42,800,800,107,504,500,500,501,501,502,504,502,501,500,635,16,503,293,502,503,800,500,649,501,500,502,16,649,503,800,359,502,572,500,282,649,500,800,649,599,346,503,649,208,504,500,504,800,500,502,800,800,649,504,800,649,500,501,800,800,649,503,501,800,107,503,501,804,282,649,316,649,502,501,649,649,904,503,501,800,500,649,500,800,800,500,502,504,339,501,580,681,282,649,649,502,649,282,649,797,852,500,800,649,500,500,107,502,502,502,501,502,649,503,649,503,502,255,502,500,501,649,282,800,666,649,800,16,649,503,502,649,503,502,899,500,502,367,501,649,500,502,282,649,500,722,501,79,503,800,976,503,649,753,16,503,282,282,800,16,503,503,282,503,282,107,95,649,503,800,501,504,572,897,500,649,501,500,649,500,282,649,282,29,503,649,503,503,649,649,800,501,500,501,649,16,503,504,501,502,504,311,501,282,501,502,503,501,502,500,502,800,502,502,501,16,649,649,954,439,649,380,282,501,500,503,282,282,838,501,800,502,800,502,649,649,649,501,16,485,503,500,169,500,282,503,649,800,649,503,107,800,800,261,282,501,502,649,500,502,16,503,500,282,800,800,800,500,500,503,501,502,649,503,501,500,800,503,184,282,503,16,16,500,649,157,282,649,304,282,501,503,503,500,501,501,503,455,500,502,502,800,347,107,800,800,649,282,786,649,504,502,800,501,501,396,503,503,500,502,503,500,279,502,500,502,500,501,502,501,800,649,707,502,649,500,502,503,500,502,210,800,649,150,16,712,649,500,501,502,436,503,532,800,500,800,800,800,16,288,539,657,282,502,636,501,500,649,649,502,502,16,500,71,530,501,503,502,954,548,649,247,649,503,282,500,800,800,501,649,502,659,16,649,501,503,800,706,412,649,294,649,501,282,882,501,16,501,800,800,16,500,649,16,501,500,800,501,501,502,500,282,500,503,502,503,502,800,504,503,502,503,500,282,800,399,649,16,649,501,709,800,16,16,649,503,705,649,501,500,649,500,397,503,649,382,503,103,649,503,501,954,649,502,138,503,500,503,121,282,800,649,282,502,649,503,503,500,502,503,501,500,800,784,649,501,649,800,800,649,502,500,502,503,800,502,649,99,501,800,500,800,649,24,500,500,800,502,501,676,705,500,800,503,800,500,501,800,501,29,649,500,282,501,500,501,500,806,800,652,800,800,649,503,503,227,282,503,503,286,649,649,16,800,649,800,501,501,502,282,649,504,800,800,500,302,107,649,503,282,503,502,800,282,800,500,503,503,649,649,219,329,649,501,282,649,800,899,800,649,772,501,649,313,501,680,500,281,649,502,217,500,502,800,649,609,649,500,503,503,501,503,800,503,502,282,501,282,649,230,503,500,16,649,502,500,501,501,649,504,282,503,611,649,649,800,215,500,502,502,107,800,800,649,649,649,282,502,501,16,800,502,502,503,502,503,649,503,503,502,800,170,503,500,503,502,408,502,800,282,800,501,502,649,503,503,504,282,576,157,503,501,924,500,500,502,649,504,501,503,567,649,649,503,502,282,103,500,649,282,500,649,113,198,649,501,500,500,501,282,282,355,16,800,378,502,502,107,800,649,16,501,502,649,144,500,282,800,504,282,543,996,398,649,470,800,649,282,503,969,503,839,376,500,501,502,649,501,501,649,649,502,649,502,175,16,800,649,501,282,500,503,282,500,503,800,923,800,501,800,282,502,500,500,466,100,282,595,502,503,800,800,649,103,502,503,500,282,500,649,502,502,503,649,503,503,16,649,800,649,181,500,500,501,500,501,503,503,502,501,503,649,6,503,503,282,649,649,282,503,503,107,503,649,649,503,503,501,867,892,800,282,649,500,500,649,503,500,501,501,500,502,502,649,16,500,649,193,503,282,502,800,800,501,503,800,800,241,502,503,503,501,800,526,502,800,649,800,777,649,282,503,800,503,880,500,699,649,502,503,649,800,912,282,901,502,800,176,16,501,16,282,800,800,800,500,587,122,855,282,501,479,282,282,16,649,800,649,888,502,800,501,500,500,800,800,503,500,500,503,649,800,502,500,503,649,800,501,502,501,502,502,107,649,501,114,502,649,16,649,649,401,649,502,800,503,282,500,502,501,107,501,649,501,503,807,502,282,502,503,502,800,800,502,649,16,649,649,501,265,649,504,800,502,500,282,649,282,800,501,500,649,500,649,500,501,649,500,502,500,763,649,500,503,282,504,501,343,537,500,16,500,503,800,503,504,800,503,282,502,503,501,500,501,282,501,649,759,800,502,501,649,282,649,502,282,501,649,503,501,500,679,504,16,656,500,649,649,503,649,305,502,103,800,649,800,503,282,398,502,282,503,502,501,649,800,649,500,503,100,500,502,107,502,502,501,653,16,503,500,503,800,502,501,502,800,501,500,571,370,501,800,500,16,502,465,502,500,649,729,649,976,164,502,502,649,103,503,800,502,555,140,800,649,800,501,28,858,503,782,703,800,282,503,504,16,500,504,800,503,649,53,500,282,502,501,500,649,502,674,282,282,16,513,346,649,800,16,568,500,282,171,503,502,649,649,649,755,282,649,500,500,800,282,25,800,649,800,504,500,649,502,907,503,500,282,502,503,868,503,800,800,501,502,504,502,475,500,500,16,649,500,501,649,149,808,501,500,649,500,502,502,500,500,282,501,800,503,503,503,800,279,501,800,503,800,503,500,500,502,503,501,649,502,501,649,800,50,717,501,649,503,928,800,210,500,282,282,800,501,649,502,595,500,649,503,502,398,649,649,501,503,786,502,503,503,704,800,649,500,500,246,220,800,282,800,649,500,312,800,500,800,340,649,500,500,649,290,500,649,282,502,93,742,500,503,503,16,16,649,501,500,927,503,649,765,502,649,501,800,502,800,649,500,503,800,500,800,502,504,800,649,503,501,800,501,503,282,800,282,359,649,500,407,800,500,800,502,282,501,800,502,503,501,500,500,800,502,503,800,649,371,469,16,800,504,502,649,500,501,502,282,503,500,500,503,503,501,829,649,649,282,800,799,282,501,421,500,501,502,800,500,529,503,307,502,282,800,503,800,282,16,501,426,502,500,649,502,649,282,503,649,483,649,649,503,16,649,501,649,649,800,501,800,501,800,500,504,501,502,500,503,502,503,734,502,502,800,649,500,103,501,502,649,500,502,502,800,502,502,502,705,501,501,502,574,997,80,800,502,501,500,40,502,50,800,800,649,500,282,502,883,502,649,649,649,800,503,575,16,649,500,501,500,649,649,501,800,503,502,503,500,800,940,503,282,503,800,282,500,521,16,500,324,282,501,649,649,503,510,503,16,282,978,800,501,649,649,107,262,649,503,500,800,800,666,649,800,504,387,282,503,649,504,503,12,16,500,500,500,552,501,555,502,318,500,282,649,649,503,649,800,503,502,24,501,502,800,500,449,502,500,501,502,501,282,503,503,502,501,649,175,800,800,503,500,451,503,430,107,502,504,16,649,800,501,164,502,800,800,501,800,800,800,649,649,320,501,502,501,946,503,800,500,502,503,501,500,800,649,502,501,502,108,800,649,503,502,880,649,649,500,501,16,649,500,502,800,80,227,503,500,705,502,197,800,500,504,504,800,503,503,649,500,649,405,16,649,501,282,500,282,800,649,11,649,905,649,502,842,16,649,800,282,104,500,501,503,503,649,16,649,800,501,649,503,649,503,502,16,503,649,800,500,236,500,800,251,649,800,501,502,754,502,282,501,649,461,502,800,501,98,282,503,502,502,500,503,649,735,500,800,800,503,649,16,448,502,501,500,500,501,649,23,500,501,501,503,501,500,649,800,503,500,501,649,649,800,501,16,12,649,501,502,502,800,282,501,649,800,800,649,500,800,800,503,282,504,503,501,731,282,502,800,501,502,282,649,501,800,500,503,800,502,282,649,649,800,667,503,170,502,16,503,800,502,501,649,502,800,728,107,501,800,503,502,649,503,649,847,504,500,282,969,500,649,501,649,501,649,481,891,107,503,501,502,475,500,500,107,504,500,502,649,800,282,649,503,503,682,502,282,503,16,282,800,453,753,501,800,16,501,500,652,290,800,500,500,500,500,649,800,504,649,649,984,501,500,503,502,465,501,800,501,767,501,500,16,500,503,16,282,725,800,502,502,500,503,503,649,800,502,502,500,649,502,800,147,500,800,649,282,500,800,503,16,504,282,282,501,500,649,800,500,500,500,16,500,800,500,503,800,500,503,502,649,800,503,500,503,738,800,800,800,649,800,502,502,500,501,974,500,501,282,800,649,502,503,649,501,501,500,501,503,229,501,502,636,630,501,500,502,503,500,196,503,837,649,501,502,649,501,649,502,800,800,503,503,649,199,649,501,501,800,500,504,800,675,501,503,800,500,649,682,800,876,800,800,502,500,800,503,282,503,503,502,500,175,241,107,977,502,498,649,502,800,501,502,503,500,503,503,503,504,800,649,800,15,501,777,649,800,762,836,649,502,502,501,800,500,649,649,502,649,501,282,649,389,502,501,353,503,688,282,501,501,503,705,649,501,649,502,800,373,800,800,649,502,649,800,502,800,501,731,282,503,503,500,500,275,282,502,500,761,502,649,502,503,502,358,282,649,500,502,649,503,649,778,501,501,800,800,502,501,649,800,502,500,500,649,937,500,282,317,503,800,800,649,282,800,649,503,502,424,504,503,500,282,502,649,500,649,502,988,872,502,282,504,800,501,800,500,502,500,501,501,501,282,502,824,649,649,501,282,501,649,649,504,500,282,501,503,502,800,501,502,501,503,503,16,16,16,502,823,503,500,21,649,800,500,95,649,801,282,642,503,800,649,502,800,800,723,500,502,502,301,800,503,503,800,504,500,503,705,501,501,551,500,501,502,502,501,800,800,253,800,504,503,649,649,800,502,107,16,800,649,500,282,800,800,503,503,282,501,649,323,800,423,502,340,500,282,501,502,649,68,500,800,649,502,282,501,597,500,500,800,500,649,18,282,503,800,502,503,800,800,611,282,503,503,503,500,230,501,649,504,501,503,503,551,500,800,500,500,503,501,503,282,500,713,502,234,800,101,502,800,649,503,501,502,649,73,80,649,800,501,500,107,500,649,501,649,504,502,502,501,501,649,649,502,500,500,117,282,800,500,649,500,649,500,500,501,649,800,282,502,503,787,501,502,503,501,87,504,501,500,503,500,800,502,800,502,500,503,501,282,950,502,529,649,649,855,282,649,649,501,649,503,649,503,800,649,501,500,502,800,503,649,649,502,282,296,649,502,503,500,800,649,501,649,503,649,500,800,649,800,16,502,502,502,503,800,502,500,649,502,800,16,649,500,282,800,503,800,503,503,503,500,501,800,800,649,502,103,649,500,501,649,500,800,501,502,503,211,103,500,501,800,501,731,800,503,502,649,501,649,503,1,800,503,649,502,649,501,501,800,282,500,649,868,649,503,501,502,500,501,649,800,500,500,800,502,502,649,649,500,500,501,501,504,653,649,209,282,501,677,501,649,502,500,107,649,502,107,481,649,649,16,800,501,649,295,502,800,500,502,503,501,503,800,649,800,504,649,800,795,649,501,503,469,503,16,503,649,649,103,126,500,282,282,649,502,501,649,282,649,967,500,502,502,503,500,414,561,501,501,500,500,49,503,503,649,500,294,649,800,210,800,500,282,800,501,503,503,800,649,502,503,502,503,282,502,282,649,800,649,282,501,649,649,282,800,500,16,500,800,45,501,500,501,282,500,501,389,649,503,500,649,503,649,124,800,800,180,649,503,502,16,649,800,630,619,277,800,649,800,503,800,282,800,501,906,501,503,503,503,502,500,649,502,649,886,649,16,136,401,282,649,503,501,500,504,502,800,16,928,501,501,501,649,503,502,282,502,503,500,503,649,501,16,282,501,503,362,193,501,500,504,501,800,728,649,649,294,732,501,503,282,800,800,501,501,501,797,502,131,16,502,500,503,500,333,503,16,501,282,800,800,800,502,723,800,500,800,772,807,800,501,282,649,279,282,502,500,503,354,500,500,135,16,500,800,503,501,500,502,500,16,501,503,501,282,173,30,502,501,649,501,800,282,282,500,502,503,806,800,611,282,501,500,500,501,800,503,502,502,16,800,500,16,500,800,501,800,649,503,649,500,531,800,800,503,368,500,501,502,800,503,500,800,501,884,503,412,649,501,500,503,649,501,649,503,503,502,282,740,800,502,649,500,503,465,800,649,649,500,501,503,502,674,800,501,926,945,500,501,649,649,501,502,175,649,705,282,501,800,110,502,502,501,501,800,500,503,500,800,16,185,502,649,500,502,282,282,800,86,501,501,16,649,282,504,503,504,571,500,501,502,649,649,502,501,16,447,585,800,501,800,649,503,500,649,503,649,649,16,649,73,282,16,503,282,916,649,503,501,800,16,798,800,766,649,649,502,282,649,800,270,501,501,503,500,503,503,800,502,501,282,502,503,649,649,501,503,649,649,800,502,282,649,649,502,306,800,933,503,649,800,501,503,503,502,649,800,503,649,236,501,500,324,282,503,503,800,503,503,282,503,500,503,800,500,792,501,649,503,502,282,16,809,649,705,501,415,503,649,503,282,503,800,649,800,501,649,282,503,800,800,557,502,503,800,107,503,500,800,16,44,500,502,385,502,500,502,16,103,502,462,501,501,500,282,501,649,843,415,500,800,800,800,503,501,385,649,800,502,502,282,649,649,503,503,800,501,800,502,107,649,501,910,500,500,800,503,376,208,649,502,502,282,500,649,502,501,649,800,649,500,282,446,503,338,500,282,800,800,502,800,502,503,649,500,501,502,282,503,649,282,503,378,800,501,502,282,502,503,502,202,501,502,649,649,938,649,649,16,503,849,503,567,800,107,502,501,500,500,800,502,973,501,96,500,649,500,501,501,282,649,649,800,501,500,501,624,163,503,282,500,500,800,800,103,649,503,502,282,282,838,501,800,699,503,324,649,106,222,501,974,503,649,800,503,500,503,500,649,500,502,16,282,16,500,288,503,800,800,502,800,501,649,503,500,165,649,503,503,503,500,502,649,800,800,282,34,501,500,649,503,800,502,649,501,649,800,800,502,90,500,800,502,503,502,500,502,502,800,649,502,649,500,800,800,500,502,500,500,649,500,649,649,500,503,501,282,501,282,500,800,107,499,649,800,16,800,502,800,503,685,501,502,282,649,282,491,501,502,502,800,503,649,16,502,800,500,501,500,502,502,501,503,282,501,500,16,803,800,503,503,503,649,807,503,501,619,502,501,502,503,502,502,503,501,800,502,500,500,503,502,649,502,503,649,500,502,800,800,649,334,504,649,282,501,649,107,503,800,906,502,501,282,501,292,503,500,500,364,503,503,649,24,501,501,502,500,502,501,502,504,503,818,649,800,649,503,800,502,501,282,500,16,503,800,903,649,649,502,500,502,501,649,16,800,649,800,800,800,884,584,503,800,800,156,800,501,501,800,800,649,501,800,500,500,649,282,500,649,503,800,502,282,502,649,501,501,500,282,500,502,649,502,649,502,800,501,502,288,800,800,503,502,791,503,502,649,534,503,502,800,500,282,769,501,501,800,503,502,134,502,406,501,870,502,501,503,503,649,649,502,649,500,649,503,502,501,502,501,649,503,800,252,800,800,800,649,503,501,503,16,502,503,649,502,500,500,62,502,503,659,988,481,501,500,501,649,434,800,501,503,800,800,800,649,503,282,503,649,16,502,501,502,500,502,649,649,501,649,504,501,503,107,457,500,282,503,758,972,282,800,501,800,501,500,500,501,649,364,501,502,502,500,649,502,503,649,504,500,287,503,800,800,800,500,503,800,241,501,282,708,503,800,649,649,503,500,502,800,502,282,669,800,501,501,503,502,639,432,16,500,275,282,500,16,282,500,16,800,500,800,501,501,503,503,800,503,16,16,689,800,90,503,862,500,612,502,500,500,501,173,501,501,501,649,345,282,131,221,502,649,501,501,503,282,500,503,501,502,282,500,649,800,500,500,503,502,282,502,16,317,502,245,958,282,503,500,500,501,503,16,500,649,500,503,504,501,282,500,500,504,282,282,503,954,502,649,502,502,355,800,500,500,282,500,800,502,355,800,503,989,501,955,500,800,649,501,502,503,225,500,501,503,502,800,503,543,503,501,504,500,502,649,649,502,16,649,649,500,800,295,16,504,500,503,107,501,500,502,282,502,800,500,282,503,501,502,503,195,481,502,66,53,16,503,500,800,501,503,582,501,844,107,501,800,282,500,282,257,502,611,800,503,649,503,500,500,800,800,649,800,103,800,706,925,500,649,649,107,501,800,503,282,800,502,720,282,502,502,502,282,501,800,501,500,500,282,501,500,649,501,503,649,502,500,649,291,501,502,282,503,800,504,649,649,649,502,500,649,282,500,502,502,500,502,503,502,503,503,500,496,501,536,649,282,800,649,503,501,800,16,800,503,503,501,204,800,502,503,800,649,503,503,503,282,649,500,800,502,800,500,500,501,502,500,282,502,502,712,500,502,503,501,503,502,649,649,500,800,500,800,500,923,649,501,859,553,800,503,16,500,800,16,500,800,800,502,502,800,502,500,800,800,152,282,502,500,800,500,500,201,503,282,800,500,649,934,649,500,282,800,196,503,501,503,649,800,623,347,503,502,649,501,951,649,649,503,503,501,649,303,16,800,501,649,500,502,502,800,502,500,282,504,155,649,282,503,502,800,503,501,503,501,649,649,649,503,649,16,800,800,501,500,502,649,502,800,503,649,898,261,501,282,502,501,649,492,16,501,657,503,16,502,649,649,502,501,800,504,502,501,282,800,649,501,500,282,501,502,503,501,16,61,107,649,500,282,503,500,649,282,800,282,800,633,776,649,502,877,500,282,503,502,649,800,282,502,914,649,649,502,504,503,282,503,800,649,800,800,500,503,502,282,429,502,933,392,649,502,500,501,503,503,504,500,502,502,500,728,503,800,800,800,194,503,649,500,502,501,500,649,282,282,503,503,502,502,502,501,649,503,800,500,500,501,16,503,502,503,649,800,649,502,800,501,503,501,501,282,107,649,649,282,800,649,649,500,719,503,500,503,502,282,502,502,501,227,500,500,503,649,649,504,502,503,502,503,503,503,501,282,282,504,52,85,503,500,501,503,501,649,800,502,502,503,282,503,502,176,500,494,945,800,107,501,500,107,502,800,539,501,502,500,503,800,649,502,501,501,586,800,503,501,649,788,257,882,502,16,504,800,503,282,776,87,649,500,501,502,502,501,800,16,500,502,501,649,649,800,502,793,800,502,800,588,502,800,800,800,501,501,649,16,503,913,155,502,501,503,800,649,500,502,343,800,502,800,432,800,800,502,282,503,502,103,653,500,501,503,583,282,503,502,503,649,501,502,502,502,503,16,503,501,501,503,501,282,504,282,282,502,800,18,800,800,501,435,712,501,594,503,501,293,649,800,500,502,504,282,500,500,649,800,816,501,887,282,649,503,503,500,16,245,812,649,16,503,800,500,501,282,503,649,649,800,705,501,421,500,502,503,282,502,282,649,282,503,503,800,649,416,800,800,649,107,800,503,81,727,503,800,503,501,800,800,800,800,649,500,649,501,16,649,649,649,800,503,962,910,504,500,800,649,501,649,649,502,800,282,501,649,502,649,647,500,500,502,500,450,77,502,502,649,800,500,502,16,800,503,503,800,503,649,282,61,649,500,649,502,282,500,501,800,282,503,503,503,502,800,16,16,502,501,504,649,501,502,282,783,501,800,16,16,500,800,504,800,500,800,502,502,415,649,503,500,238,649,502,282,649,504,502,649,500,660,282,103,649,800,502,500,502,500,190,800,500,500,503,740,485,503,500,649,502,503,16,502,500,832,501,282,503,649,800,501,500,800,649,502,282,68,800,282,282,504,103,105,502,282,502,649,500,800,501,501,16,502,503,501,501,282,500,282,501,810,426,501,502,502,107,282,503,649,501,502,502,282,502,649,503,500,649,649,502,502,504,867,800,500,800,800,503,800,800,502,800,264,503,649,500,504,503,649,921,456,503,143,504,501,503,502,649,500,500,503,500,649,16,49,800,502,501,649,502,16,503,800,501,649,501,503,68,500,504,502,500,108,501,500,502,502,500,800,649,501,503,500,800,503,502,501,500,800,501,503,169,503,501,880,502,501,57,500,800,503,501,282,500,800,502,800,284,282,800,16,800,503,929,649,502,53,502,649,282,500,500,282,504,500,822,732,211,501,500,649,500,500,689,800,800,282,800,503,800,500,986,649,649,753,16,282,501,649,500,282,503,800,500,777,107,504,800,478,501,502,800,107,502,282,501,502,800,500,502,501,649,649,800,501,501,649,543,503,621,501,649,727,503,502,800,504,503,60,500,800,649,65,502,500,16,800,649,500,503,746,503,500,501,107,282,271,495,800,800,500,502,709,649,503,501,800,661,502,501,282,501,504,649,502,501,169,502,800,503,500,800,502,500,502,649,503,502,649,259,503,868,500,800,800,800,501,504,649,500,500,483,503,800,503,22,503,800,504,500,107,166,500,847,501,501,500,500,503,503,649,502,53,50,649,336,501,763,800,649,218,534,500,500,649,501,502,503,800,500,501,500,282,865,800,503,260,502,16,500,668,501,282,502,500,800,501,503,282,649,503,502,649,800,800,103,502,500,501,649,501,800,500,503,282,800,502,502,503,649,501,503,503,500,649,649,649,338,501,649,503,282,502,800,282,16,721,503,649,800,282,502,16,503,990,16,503,501,500,282,501,500,500,502,501,500,504,503,649,503,502,800,501,501,503,500,501,501,66,762,282,502,500,502,649,563,503,501,500,502,649,282,502,500,800,502,501,800,501,705,282,282,501,649,282,255,785,649,500,501,800,502,166,282,800,501,649,500,800,502,503,238,501,800,502,107,501,282,502,649,587,746,282,501,649,502,770,658,502,16,503,800,503,800,649,16,501,408,649,800,502,501,649,800,649,649,800,502,16,649,282,503,590,16,502,516,500,649,649,503,503,409,503,502,954,800,282,800,282,500,282,800,501,500,184,502,502,649,503,500,502,503,415,503,649,16,503,502,503,503,500,501,501,502,503,709,501,501,649,800,649,500,800,501,503,16,800,500,649,16,249,500,503,649,504,649,16,500,380,649,649,259,699,500,500,500,503,503,503,502,504,800,500,504,662,282,800,932,503,282,282,503,800,503,500,16,501,649,503,503,500,503,502,503,502,503,501,502,800,800,800,501,503,501,503,179,501,649,135,500,16,375,503,501,502,500,501,501,649,649,502,649,503,502,800,282,503,500,503,503,649,500,282,503,800,503,649,500,501,282,501,503,502,649,502,501,500,800,503,316,502,649,503,282,649,502,503,503,501,503,501,800,501,503,501,282,503,996,649,800,163,103,500,502,503,502,502,503,649,649,800,282,800,502,643,500,504,503,649,800,353,501,501,500,502,502,502,800,800,800,500,500,500,777,649,800,503,649,503,883,282,500,649,503,649,503,282,502,649,503,282,500,893,503,503,501,503,282,800,502,800,800,800,800,16,145,500,800,800,501,500,677,503,500,800,500,16,501,500,800,500,501,502,502,503,449,282,501,502,282,500,518,649,500,502,502,500,800,503,800,503,500,644,649,800,502,649,501,501,502,282,800,800,500,503,649,16,649,503,502,502,502,503,503,24,503,500,500,500,16,500,282,282,649,857,649,503,501,800,800,620,282,840,504,800,503,500,800,649,503,365,504,503,282,893,502,503,501,500,649,551,501,503,501,501,729,503,503,500,585,503,500,16,503,501,282,16,639,500,500,649,502,813,503,800,501,501,500,649,649,503,500,800,501,500,510,16,649,800,503,504,501,502,800,500,800,800,501,500,501,282,245,501,16,649,103,503,649,501,649,282,501,503,501,503,691,282,502,502,503,502,705,503,649,649,502,504,649,501,800,472,501,800,786,16,554,501,649,503,282,502,800,500,503,503,800,282,503,910,500,500,649,800,282,107,501,501,504,500,967,800,158,649,800,504,502,942,503,504,800,500,16,203,504,285,503,649,800,500,649,502,160,501,800,649,649,940,282,103,800,503,501,235,501,282,7,500,633,649,764,800,800,94,501,347,649,503,771,302,503,937,808,502,503,15,934,502,107,286,502,500,101,649,503,800,503,649,500,800,800,500,503,501,501,649,501,107,399,503,503,502,100,282,497,500,800,500,800,348,500,500,800,800,649,500,503,800,501,800,500,649,501,800,282,649,500,502,501,502,79,800,649,502,500,800,503,800,502,502,501,649,503,649,649,503,800,501,16,501,503,502,722,715,800,649,649,503,649,500,501,800,503,649,649,503,503,649,501,501,502,649,500,649,503,501,501,500,649,800,800,282,208,500,500,282,16,502,501,503,500,393,649,282,282,336,502,502,649,973,500,502,649,500,107,800,352,501,800,205,800,800,629,500,623,455,282,500,161,500,502,282,500,502,502,800,501,16,707,16,501,503,282,649,503,800,501,503,800,649,800,501,886,649,501,917,649,502,800,500,502,293,649,800,501,503,501,282,503,500,501,502,500,282,971,502,800,501,803,800,649,501,282,861,503,502,800,500,500,899,502,502,500,504,800,503,500,503,649,924,504,501,822,500,502,502,503,476,282,800,503,800,800,800,503,501,502,210,705,500,502,500,282,501,282,800,16,649,502,503,649,800,47,503,649,500,20,800,282,500,341,85,501,282,500,800,501,504,800,800,649,474,882,800,500,16,502,502,288,649,282,453,649,501,800,503,502,649,501,502,800,773,500,282,800,800,649,501,680,502,502,107,503,800,772,501,500,501,501,503,153,800,500,504,800,501,649,800,800,503,500,649,503,501,800,502,500,503,500,502,500,649,800,709,139,503,501,502,282,800,800,666,502,800,800,501,282,500,501,800,16,501,800,503,282,649,502,649,501,800,800,170,800,282,649,212,501,399,232,616,502,957,649,502,501,649,800,215,16,500,500,500,501,500,501,800,16,282,500,501,503,1,503,282,503,502,501,504,503,500,103,800,503,800,501,800,16,500,502,500,500,503,503,649,504,504,800,500,435,500,503,501,500,500,649,107,282,503,502,503,502,649,677,800,473,502,502,503,800,502,800,16,503,800,500,800,500,800,500,500,502,500,800,435,282,502,501,649,649,502,504,503,107,282,800,501,853,500,282,800,800,503,500,500,500,800,502,502,502,649,800,649,500,201,800,649,800,800,800,282,502,500,16,282,649,502,500,649,502,501,500,500,503,503,16,702,649,800,502,501,649,282,503,649,503,500,16,530,800,800,501,504,500,501,649,649,262,502,649,549,501,501,503,500,649,800,503,649,501,649,573,68,649,503,282,500,683,500,502,649,16,502,500,500,103,649,649,500,500,686,649,502,501,800,800,503,502,800,500,502,649,649,302,502,649,502,800,16,908,282,649,649,502,500,649,207,500,503,800,504,877,503,649,135,502,501,500,503,500,501,503,502,874,800,503,502,219,502,501,800,794,501,800,800,649,503,282,800,800,503,501,282,501,502,800,503,503,503,503,501,502,503,503,501,144,502,800,958,800,16,502,500,502,500,16,501,282,649,504,999,503,103,502,500,501,107,502,934,282,800,800,500,981,503,800,767,501,500,502,649,503,500,501,503,649,649,502,502,615,500,501,800,649,500,503,282,800,800,1000,500,282,502,502,503,800,500,649,503,500,502,138,282,16,503,649,103,282,500,502,649,649,282,805,502,282,800,800,282,800,800,500,800,202,503,503,500,107,503,800,503,500,500,500,406,503,649,800,971,649,500,282,503,890,979,501,503,800,649,500,502,150,942,501,649,501,500,501,500,649,649,502,502,501,822,107,501,501,503,282,649,800,649,503,503,500,503,501,649,503,282,500,502,501,500,676,16,16,16,800,500,503,504,649,800,502,649,236,503,503,649,649,501,502,502,800,517,649,705,649,282,800,502,145,503,800,649,503,282,501,16,501,800,500,800,649,503,502,500,501,16,503,649,649,503,97,503,570,800,800,502,100,503,110,504,502,501,500,282,502,500,502,800,500,649,282,503,503,503,503,800,735,282,800,501,502,745,800,500,503,777,503,800,502,649,100,800,649,501,503,500,800,503,282,16,502,282,934,503,503,683,503,504,800,705,500,502,504,501,502,649,477,502,503,800,649,502,503,649,800,504,501,649,500,500,649,502,649,16,503,500,650,502,501,16,502,282,501,649,282,649,800,282,649,503,800,503,800,282,800,803,503,649,503,800,501,504,649,855,502,282,107,800,103,800,649,502,502,503,686,500,649,501,282,500,501,502,500,16,649,649,649,503,282,16,649,800,501,649,282,800,502,503,800,979,500,500,501,649,802,501,649,500,649,503,502,649,800,236,800,282,800,143,866,649,503,16,500,800,272,649,501,502,649,649,502,800,649,469,503,800,282,502,796,500,500,649,800,649,502,800,500,21,501,282,503,503,649,500,501,107,282,16,16,214,503,107,503,503,503,463,282,649,800,282,282,800,649,503,500,501,800,500,510,501,486,649,800,649,649,282,503,649,649,500,282,504,547,649,501,800,500,502,800,501,800,649,504,481,16,500,501,500,503,158,800,492,503,503,107,282,649,501,503,503,282,800,649,500,800,502,500,800,649,282,503,632,552,500,98,396,800,800,501,800,16,384,16,649,800,649,282,649,502,800,502,107,649,501,199,14,506,500,503,649,16,800,504,649,503,25,500,290,282,501,500,649,800,503,500,800,361,501,500,282,501,800,185,503,500,800,649,500,501,503,502,501,502,107,800,501,800,503,800,501,502,500,500,649,503,503,800,800,649,501,649,16,533,564,502,502,500,800,500,800,282,500,282,502,697,800,800,220,501,503,913,501,502,502,821,550,500,502,649,503,503,502,503,503,800,502,502,501,501,107,282,282,649,649,501,503,501,503,282,501,503,500,503,500,500,649,453,500,500,503,282,282,501,620,503,502,649,800,504,282,800,503,502,649,503,649,503,500,502,502,801,501,16,502,282,503,800,800,649,503,800,649,503,500,502,500,500,500,503,83,918,503,503,503,501,800,502,649,649,37,503,502,800,503,501,503,501,500,502,501,502,410,282,501,800,501,500,501,501,354,500,501,649,649,500,500,649,649,649,502,649,649,755,500,501,503,504,503,501,764,649,502,649,346,649,948,649,501,502,503,649,649,91,500,502,86,501,503,649,503,501,501,502,502,501,500,282,649,649,500,649,501,504,649,687,501,502,107,501,588,501,16,502,503,503,282,800,501,800,503,502,503,800,501,503,649,500,502,526,800,502,503,282,503,504,800,503,501,800,282,16,649,500,528,500,502,649,573,503,502,539,800,500,501,503,649,275,649,502,800,501,502,649,649,501,502,502,16,800,800,501,501,952,502,800,438,500,502,502,793,107,800,502,501,501,282,649,500,502,16,16,97,503,846,500,503,502,16,500,503,282,500,282,649,500,500,500,504,503,649,50,468,800,649,800,16,500,800,734,503,725,815,16,649,649,500,503,500,500,649,502,502,502,503,205,503,504,501,603,635,500,503,502,649,487,649,502,502,500,16,502,282,500,503,800,500,501,500,649,800,500,800,503,800,800,502,501,501,282,800,800,807,649,649,501,282,649,353,502,800,16,800,502,500,500,503,649,501,300,502,649,503,282,502,800,800,800,503,800,649,503,718,800,649,502,502,649,503,504,649,158,502,800,501,649,800,537,503,800,503,503,502,501,500,800,500,501,500,503,503,541,16,615,144,501,502,501,649,378,501,743,16,502,503,502,800,649,503,800,282,16,649,500,503,721,9,502,501,502,500,815,502,502,649,800,47,434,800,502,107,500,503,800,156,504,500,502,500,883,501,502,500,504,502,503,502,800,800,649,649,800,503,500,649,649,501,502,502,800,800,800,649,500,800,595,503,103,501,975,502,501,920,103,500,501,649,800,502,502,282,502,71,931,649,500,649,503,800,501,503,503,501,502,502,501,500,847,185,233,649,502,515,471,649,282,501,691,500,500,800,451,649,158,800,282,500,282,163,282,503,282,16,501,500,282,503,500,502,641,649,800,282,968,502,503,649,502,649,501,16,800,500,503,800,503,800,800,282,501,504,500,905,800,878,702,649,282,649,500,501,502,500,463,502,500,649,500,502,800,649,16,125,502,800,501,649,502,501,649,800,503,501,461,533,500,503,503,107,500,800,649,152,115,800,500,500,501,504,501,502,502,800,502,16,500,503,502,503,800,502,282,649,649,242,189,501,501,105,435,504,501,501,457,537,503,296,649,503,413,16,502,500,807,500,501,501,503,649,503,282,16,503,436,800,800,503,649,649,500,501,800,503,483,500,500,502,502,503,282,501,500,800,649,500,503,649,127,500,16,502,500,16,500,504,503,504,282,649,282,649,800,501,649,625,503,500,282,649,503,388,501,800,505,991,921,500,103,500,503,649,282,710,649,282,649,198,324,16,503,502,649,500,502,649,501,501,16,503,551,502,500,16,501,800,502,500,282,649,501,16,282,502,500,282,503,107,502,767,800,501,800,800,503,620,504,502,502,500,501,282,503,649,500,503,800,212,649,500,16,501,800,503,649,800,502,649,232,518,762,708,502,103,501,960,649,502,955,503,501,502,800,502,503,800,649,282,674,503,800,502,500,199,503,500,649,500,109,800,502,502,503,902,503,649,649,649,411,500,649,501,502,500,994,500,649,282,649,95,800,800,501,501,419,895,504,800,800,800,282,502,500,649,503,503,500,502,504,500,941,501,500,503,649,649,500,800,503,500,503,649,649,502,800,500,282,649,411,99,649,500,500,649,502,503,501,800,282,800,502,904,800,502,504,503,361,649,503,503,282,282,800,503,649,282,500,16,649,501,503,744,503,649,502,800,947,503,649,503,503,649,649,500,502,54,800,501,500,502,500,800,503,504,107,501,282,500,176,49,503,502,800,335,649,500,504,500,649,501,501,502,282,649,503,282,649,16,500,282,800,503,649,649,502,282,501,500,800,107,503,282,901,503,500,500,58,800,501,501,501,500,503,503,800,502,501,503,649,500,502,368,502,649,649,649,649,503,800,649,500,504,500,800,282,500,503,500,800,501,500,500,103,800,500,566,501,503,649,502,148,996,501,800,500,800,649,500,501,266,500,649,502,282,800,800,800,800,800,434,800,649,410,110,282,500,503,500,501,503,500,500,649,500,501,649,800,649,649,282,503,501,500,504,844,503,103,800,500,282,501,501,500,16,239,800,573,705,282,503,990,649,800,501,502,282,978,501,501,282,16,502,387,500,502,501,502,832,501,649,503,502,503,502,503,502,343,509,500,649,502,649,706,724,233,800,800,649,501,503,649,895,502,503,502,800,800,800,502,679,282,800,502,649,500,502,501,501,800,503,16,649,800,503,800,649,649,800,501,503,500,503,800,501,500,503,800,800,503,500,220,800,649,503,503,503,500,501,452,503,504,500,800,503,502,649,502,502,723,34,16,649,500,500,282,502,89,502,800,503,800,346,649,502,282,500,503,503,501,282,447,800,909,649,649,502,501,16,500,863,649,501,500,180,800,503,16,708,649,649,500,800,649,498,501,500,282,500,649,649,500,500,501,501,501,503,503,500,501,649,500,503,503,649,800,612,103,800,500,800,649,500,800,282,784,502,649,781,502,503,800,500,649,16,649,282,500,500,500,800,500,502,502,502,501,282,501,649,503,649,501,503,502,800,503,245,501,800,502,501,504,501,744,800,503,935,500,500,16,282,16,503,501,504,503,579,190,502,649,500,504,282,800,503,503,502,522,503,649,503,503,501,266,501,800,502,10,649,800,503,503,800,503,503,103,502,440,503,500,503,121,889,840,501,972,502,502,502,282,501,502,502,918,282,309,500,501,503,503,502,501,500,649,503,282,107,500,282,503,649,504,649,282,800,649,500,503,500,282,502,800,503,502,502,502,282,16,209,501,500,503,737,800,649,16,502,502,649,282,502,502,500,503,503,800,7,501,800,500,502,649,500,941,563,500,500,800,502,503,503,649,500,502,500,502,868,503,501,16,649,502,501,503,649,791,800,503,982,503,501,25,501,503,502,503,500,502,800,649,649,503,800,502,500,649,501,503,649,800,502,649,882,501,800,503,503,800,800,500,501,800,500,503,500,500,487,501,502,504,16,649,503,501,502,956,282,768,503,800,501,501,501,503,501,649,502,196,503,500,649,502,800,649,501,504,32,354,649,16,16,55,501,502,775,800,800,501,503,649,502,500,500,649,800,503,649,501,649,649,502,502,502,800,502,16,649,271,800,282,478,501,500,907,500,757,649,923,282,501,282,16,649,575,800,501,800,649,200,649,649,502,503,282,500,503,800,800,649,800,512,500,503,481,502,304,502,503,156,501,800,724,456,10,711,800,282,823,504,649,800,501,649,503,501,501,16,503,649,502,649,500,852,504,800,501,501,500,107,503,800,502,503,16,501,649,841,649,501,848,501,16,800,282,501,649,502,501,649,500,503,501,800,649,649,649,697,649,282,800,502,95,500,502,282,649,649,501,282,649,16,649,107,503,503,500,770,144,366,800,800,500,649,774,282,705,649,503,188,501,282,500,503,502,800,221,500,103,185,16,16,500,503,501,649,501,503,502,501,800,500,502,501,500,501,503,649,503,649,503,501,501,501,503,16,500,501,16,500,649,500,800,135,502,501,649,649,502,500,501,501,649,800,501,197,500,800,504,502,908,201,502,504,765,16,719,485,502,282,502,29,649,504,649,500,501,501,500,649,502,16,503,282,501,500,649,800,800,503,649,503,501,501,917,961,800,502,800,649,649,501,873,16,502,502,649,800,500,502,503,500,649,503,545,800,501,345,503,504,500,282,501,500,704,649,501,503,586,282,500,800,649,503,503,282,282,502,844,282,501,501,500,800,500,500,569,800,500,140,503,502,103,502,503,504,502,500,282,800,501,502,503,572,282,500,503,502,503,800,503,501,800,503,502,920,282,282,503,500,500,282,504,502,114,16,503,677,919,503,282,501,649,750,800,16,649,500,502,503,325,282,502,282,501,501,502,649,942,282,502,800,502,649,294,501,107,282,588,500,800,497,502,501,16,504,649,800,503,649,800,282,282,500,800,649,800,501,649,500,649,282,500,153,503,800,501,504,503,649,282,172,503,649,500,502,500,503,649,500,649,489,500,502,800,649,649,502,501,800,501,282,649,503,503,678,500,502,501,502,549,16,649,993,550,504,400,16,748,16,800,649,282,227,501,649,649,257,800,649,503,800,107,16,212,649,649,503,675,107,800,501,800,503,800,500,649,383,706,501,649,203,501,503,500,501,502,99,503,282,501,649,500,500,800,502,649,800,502,501,500,500,503,503,502,649,500,336,649,501,728,800,503,800,649,282,502,503,501,800,191,501,500,422,503,501,649,503,619,948,501,500,649,800,800,501,136,501,282,601,800,500,548,503,502,501,503,201,503,100,502,500,503,500,649,800,649,107,500,282,501,874,649,282,282,501,502,649,503,503,520,710,503,503,649,282,502,503,633,16,500,388,503,800,503,800,282,649,523,282,800,501,800,500,649,501,500,502,504,500,800,500,800,503,649,721,16,500,649,800,501,503,500,503,735,282,502,500,649,503,500,16,502,107,282,649,502,800,501,649,649,566,500,800,649,501,500,282,16,649,502,800,649,500,500,468,282,800,800,800,800,282,282,501,986,500,649,47,500,649,282,800,500,16,500,16,275,800,501,501,500,34,977,503,649,500,500,501,501,800,500,114,16,172,649,800,503,649,503,501,800,503,502,503,503,503,503,649,501,504,503,500,501,705,503,800,503,502,649,504,398,800,502,800,359,800,501,503,800,800,529,800,500,501,500,501,442,527,502,649,800,846,502,901,504,879,504,800,503,500,503,500,880,800,500,500,503,16,649,272,502,501,503,500,502,649,500,649,16,502,500,502,16,502,765,339,503,500,699,503,503,800,800,16,500,501,502,504,500,503,503,831,500,800,800,649,282,103,502,800,16,501,625,503,500,649,501,500,503,501,500,282,503,364,649,501,800,705,797,707,840,800,800,503,502,501,800,800,502,903,800,500,649,323,800,800,501,649,502,502,649,501,501,800,186,502,503,502,504,503,500,500,502,500,503,800,504,800,649,649,502,501,800,500,416,649,500,503,500,500,787,502,503,800,649,503,502,649,503,500,16,500,800,649,55,501,502,282,800,502,800,282,503,501,517,502,502,503,503,500,500,494,649,500,800,500,816,501,502,503,500,727,503,800,501,282,282,16,501,800,649,800,503,804,649,16,427,800,649,800,503,649,649,800,500,501,501,504,649,800,282,502,800,500,503,501,800,425,502,501,800,800,501,500,16,649,236,800,649,500,800,282,501,800,500,16,501,501,282,503,500,501,597,502,649,649,649,774,649,504,502,112,501,800,500,501,649,800,501,476,502,800,328,502,16,741,649,500,501,502,501,503,649,503,800,807,282,800,800,649,800,503,501,502,502,800,800,103,503,362,739,176,800,503,649,188,503,168,649,503,500,500,500,16,649,503,500,800,500,282,23,649,502,501,649,503,500,503,501,500,500,597,800,501,947,501,16,800,501,800,501,282,800,649,503,502,649,501,503,649,649,649,503,16,501,800,501,504,503,500,502,282,800,500,501,501,501,362,501,500,282,503,800,885,282,649,767,649,808,649,500,501,649,500,502,501,500,649,500,107,503,502,503,502,649,504,502,804,649,800,501,503,500,107,502,501,503,500,803,649,649,501,649,503,502,503,180,282,282,502,282,282,502,501,501,501,502,724,503,800,502,504,649,649,501,710,839,501,502,501,503,503,649,500,504,501,501,800,503,503,800,501,800,800,501,502,501,503,405,16,107,500,502,501,282,277,503,800,800,282,500,501,800,500,649,502,503,800,502,501,502,501,502,800,649,871,502,649,500,800,500,649,502,500,500,502,501,800,500,514,501,500,502,503,502,800,501,282,502,649,502,800,800,649,500,282,800,504,501,502,800,504,501,649,501,503,800,501,555,268,800,591,501,501,95,501,503,217,503,800,502,502,502,800,16,500,282,501,103,649,501,800,800,800,501,649,800,649,649,649,282,282,502,501,501,800,800,800,16,501,501,500,502,649,503,501,502,806,282,649,969,800,107,845,500,500,502,501,800,501,503,503,184,649,649,16,649,800,502,282,500,501,885,649,649,714,359,282,800,501,282,502,111,502,379,502,501,16,503,502,800,504,800,282,500,500,503,649,502,107,260,850,500,282,800,274,500,517,503,503,820,800,502,502,800,501,501,503,649,500,268,282,500,800,503,800,800,503,501,501,502,649,282,825,103,649,800,503,501,500,500,707,502,649,500,347,501,649,501,800,800,503,502,103,502,503,436,800,501,503,610,502,800,501,649,503,649,282,503,501,800,649,500,649,794,503,649,282,649,502,502,502,500,500,503,500,501,502,501,502,502,649,502,501,37,502,501,500,502,800,502,16,503,982,282,503,502,800,503,503,649,800,501,894,500,800,502,500,502,800,282,500,424,503,439,649,800,503,649,503,502,16,503,502,500,503,107,503,800,503,502,800,503,500,341,377,503,501,501,502,792,501,502,500,502,500,800,500,800,502,500,502,503,500,500,501,500,800,500,501,501,649,503,504,502,502,502,16,800,205,500,649,800,501,501,503,800,502,503,502,649,5,649,800,203,649,502,501,800,503,800,503,500,107,800,500,503,502,500,649,502,503,538,500,500,503,502,800,500,800,501,649,501,649,503,958,501,282,503,800,649,501,501,282,649,501,800,501,500,16,649,671,564,282,500,501,800,16,574,800,501,438,83,267,800,501,649,503,500,500,502,503,500,16,250,502,501,500,503,501,78,503,649,16,503,649,63,198,362,500,970,501,800,454,800,649,800,605,503,502,501,503,282,502,649,250,503,503,800,756,800,502,282,844,800,503,797,502,502,800,503,16,500,504,500,500,16,500,500,649,800,649,503,326,649,649,503,500,500,715,346,503,649,500,501,500,317,502,500,282,735,800,501,282,500,407,503,502,800,969,500,800,502,716,880,800,649,649,502,800,501,800,649,649,649,500,501,800,501,501,500,501,500,800,840,649,800,502,156,503,444,721,502,16,800,502,407,649,501,503,649,649,282,443,502,484,649,807,800,282,16,503,500,503,649,649,504,502,501,649,71,193,282,649,800,649,800,800,500,800,501,800,502,502,282,503,16,500,16,501,106,503,503,800,500,501,504,501,503,470,502,501,649,649,503,26,501,501,282,440,500,107,503,282,500,649,785,841,503,502,503,900,503,649,800,501,649,501,501,502,502,502,503,800,553,500,502,503,504,719,500,502,649,502,649,800,800,501,649,500,500,501,194,503,908,649,800,649,500,649,500,925,649,649,503,173,502,800,739,501,503,649,501,502,800,210,107,436,800,16,503,800,501,501,502,800,500,649,502,501,282,503,16,500,502,500,500,800,800,800,107,113,502,800,500,800,500,16,503,500,282,503,649,503,649,715,501,800,776,282,649,501,677,501,504,889,503,25,502,501,500,16,987,850,800,846,503,649,503,282,649,503,433,16,649,649,501,502,649,503,649,649,649,649,946,800,500,503,501,500,16,16,503,500,501,800,500,504,649,503,502,800,502,503,500,501,502,501,282,649,364,800,501,337,454,865,501,425,502,501,338,501,800,503,500,282,500,800,502,800,503,502,503,726,501,902,720,500,117,16,649,734,282,649,649,107,800,649,800,649,500,800,502,880,503,649,16,502,282,725,503,503,601,282,649,500,800,503,649,282,646,501,282,800,502,649,913,649,502,800,502,501,649,318,502,502,16,387,503,649,282,502,503,282,649,500,16,503,282,501,503,800,501,501,502,500,502,800,800,503,800,282,103,504,500,500,501,800,502,158,501,483,502,502,649,800,500,503,501,282,502,492,107,501,16,884,501,500,500,800,502,282,800,500,16,502,800,500,501,502,502,500,649,800,369,503,649,501,501,282,504,501,282,500,649,500,501,807,98,502,649,800,649,502,301,502,503,503,503,649,649,800,282,500,500,649,800,378,649,500,503,800,501,503,500,590,800,503,304,730,800,16,649,143,649,544,501,503,16,501,800,649,649,503,649,502,282,503,800,503,502,128,502,637,500,501,800,800,282,502,502,188,282,503,501,503,501,501,500,501,16,501,800,688,107,501,500,502,503,714,649,16,504,344,500,500,800,500,501,502,36,500,800,939,411,649,53,502,501,16,282,282,500,500,649,834,794,500,800,282,800,34,500,503,814,282,501,501,503,502,501,890,938,282,800,21,800,501,503,503,649,107,503,502,649,800,500,16,500,503,282,227,282,156,495,282,192,352,603,800,85,800,800,500,16,557,501,800,800,502,646,649,800,501,282,501,503,879,501,503,800,649,800,501,503,502,800,46,649,453,500,502,995,282,500,500,912,16,500,503,500,502,394,500,800,649,800,649,649,502,501,800,649,503,800,500,500,500,500,503,503,500,42,649,98,680,503,503,501,705,103,649,16,500,786,504,502,16,649,502,502,873,649,16,502,16,649,16,282,503,500,97,500,363,282,547,800,501,498,502,649,210,800,501,501,503,16,16,649,800,649,800,503,800,911,219,277,649,649,501,502,500,649,282,649,501,871,501,800,500,503,502,649,282,500,503,503,500,501,501,502,649,502,501,649,800,502,502,503,503,874,282,282,502,501,282,503,581,503,16,800,502,991,583,282,539,502,501,500,800,503,500,502,502,649,800,500,502,502,107,800,503,282,107,502,800,503,502,501,502,800,501,800,502,800,501,800,649,500,500,500,16,500,649,282,800,800,495,282,502,800,501,839,800,542,282,262,800,500,649,503,800,21,504,500,649,500,800,124,503,800,501,282,649,502,199,282,503,282,800,282,504,500,800,501,501,538,800,649,502,500,16,501,503,16,501,501,649,649,500,500,282,500,503,500,649,840,504,501,346,649,501,503,282,501,501,501,502,503,503,501,503,502,800,649,500,503,502,144,800,320,502,444,500,501,832,282,16,502,282,502,502,501,503,800,501,500,502,503,800,503,649,800,502,500,500,282,500,800,86,503,800,502,500,282,501,910,800,800,503,502,500,502,251,404,502,800,649,800,500,154,241,282,501,800,500,800,282,503,13,649,500,649,500,107,500,503,800,503,503,501,502,500,503,501,800,501,502,649,504,500,631,501,649,800,503,503,503,856,500,500,800,649,502,500,649,800,649,590,800,282,581,16,503,649,282,501,501,800,800,800,501,800,997,800,16,800,649,500,503,502,503,501,282,501,503,649,817,800,468,503,649,501,800,649,282,649,500,503,503,649,800,500,501,500,649,500,800,607,500,503,906,504,800,501,502,501,305,503,501,502,501,16,502,649,30,501,502,282,502,502,502,502,649,593,503,16,501,503,649,649,649,800,503,649,800,500,800,502,502,500,800,500,340,107,501,282,500,807,502,91,282,800,649,503,800,500,649,503,16,282,502,629,501,502,800,501,282,500,502,502,503,282,88,501,83,501,107,501,500,504,501,800,500,500,800,501,503,502,500,649,502,501,501,502,500,649,503,500,800,649,502,502,500,500,649,502,800,16,503,107,545,282,501,552,800,501,502,282,800,501,502,503,502,501,771,800,800,501,500,666,800,800,649,561,800,501,649,649,282,503,931,800,501,800,501,800,16,503,16,649,649,500,501,500,502,81,577,800,649,16,502,500,800,282,502,502,501,107,501,626,800,502,500,714,521,649,107,649,719,326,501,800,366,649,503,502,502,334,501,800,503,800,800,649,502,800,503,503,311,500,905,503,282,800,649,501,282,883,500,501,103,500,16,502,282,649,501,800,501,465,502,502,800,503,502,649,282,282,500,800,501,800,282,714,800,501,16,501,526,282,649,500,502,649,240,502,502,649,16,502,16,421,500,536,800,500,502,649,502,503,800,800,282,738,501,502,649,502,502,933,800,800,502,503,501,502,837,649,800,649,502,282,125,16,800,502,649,649,236,282,698,500,503,107,649,16,649,27,503,800,649,500,501,501,800,501,503,712,800,501,800,503,649,250,500,824,503,800,500,501,501,503,683,282,501,23,103,649,503,282,503,500,503,502,502,502,501,800,649,282,282,649,694,235,501,501,649,502,649,14,649,500,500,800,500,501,503,800,501,501,503,503,800,502,282,800,502,500,448,685,800,16,500,500,16,500,500,282,503,649,500,500,502,259,500,107,800,649,503,502,502,78,800,649,503,116,282,282,503,501,800,503,501,800,503,800,800,501,16,749,500,368,503,500,502,502,502,502,502,16,367,800,502,501,501,608,800,503,643,500,107,800,503,492,282,501,16,503,800,500,500,800,282,326,751,503,282,503,16,500,504,649,800,137,503,502,501,500,503,500,502,500,649,500,502,502,504,501,800,501,502,800,500,649,501,503,556,500,504,500,16,502,502,502,503,501,500,501,649,16,800,649,649,800,649,504,500,269,295,165,504,800,502,282,16,501,800,500,501,2,684,503,502,649,282,501,502,502,501,500,501,800,500,501,800,800,500,659,422,103,500,649,500,800,500,649,514,705,500,502,649,649,504,649,501,500,503,152,265,503,92,78,500,272,282,800,282,504,504,649,107,502,500,649,400,501,282,649,500,800,501,800,501,502,503,800,501,503,282,503,967,800,800,501,16,800,649,649,800,647,502,500,503,649,500,501,890,216,503,800,649,502,282,503,800,645,502,941,504,592,500,500,503,282,503,502,649,502,503,503,502,282,502,337,103,133,503,503,504,800,500,502,501,649,503,800,502,500,994,107,800,504,454,503,500,282,649,649,501,500,500,881,800,503,502,501,716,503,503,501,501,501,502,800,501,649,282,16,800,502,500,282,501,502,503,649,649,501,649,649,649,501,800,282,502,500,500,16,973,649,902,501,501,800,502,649,501,502,800,201,649,501,445,649,501,649,649,800,649,800,502,282,705,500,282,500,500,439,502,800,500,961,16,503,504,503,502,502,649,649,503,503,500,503,503,800,503,800,16,649,500,649,649,501,500,163,502,871,16,706,502,500,681,947,501,727,800,503,800,502,501,502,800,500,500,550,169,502,502,500,502,502,500,500,282,504,800,504,501,16,408,500,649,502,335,800,15,282,649,800,500,16,504,988,500,660,501,800,800,502,800,226,133,649,502,502,501,649,504,502,16,502,713,503,500,649,649,502,503,476,502,501,501,800,649,502,16,501,688,649,501,500,800,649,684,501,282,504,800,503,282,500,649,500,107,800,282,800,502,838,502,649,501,262,502,649,501,800,649,649,649,158,107,159,502,500,800,649,800,501,649,896,101,800,649,649,502,501,649,503,649,166,501,503,502,501,282,503,501,501,503,502,503,503,52,500,502,520,282,649,503,800,800,282,502,501,503,500,502,16,668,282,500,502,649,800,458,785,649,800,16,800,503,502,282,800,400,306,282,16,503,504,800,800,503,800,649,800,500,500,800,96,502,500,500,800,501,282,502,500,504,16,326,501,500,282,502,500,503,800,282,502,649,800,16,649,671,503,30,800,649,503,16,500,500,502,184,800,107,500,500,503,649,501,282,800,800,502,16,503,503,935,503,502,282,282,501,649,92,282,500,500,501,500,800,671,501,649,649,16,500,501,501,16,502,500,504,282,501,282,500,282,501,282,503,649,649,778,282,800,502,503,512,800,501,800,649,649,282,502,503,502,502,503,800,502,800,800,502,502,502,800,800,500,501,500,503,800,502,800,503,750,649,500,501,502,501,502,503,500,501,501,649,500,501,502,502,501,503,649,649,502,695,502,107,649,800,503,799,500,649,649,800,16,502,38,282,503,500,500,501,426,501,504,502,649,104,47,503,282,503,503,649,379,502,502,649,501,282,179,502,503,500,731,500,501,500,500,800,502,501,282,649,649,815,500,500,282,501,197,503,282,25,649,282,500,501,822,500,501,502,500,503,800,800,649,800,502,286,501,649,539,649,501,503,649,15,503,800,800,501,500,501,500,800,503,500,503,501,800,800,503,800,526,502,800,503,501,649,501,501,501,800,500,107,571,800,800,800,800,503,282,282,503,503,515,501,765,800,500,282,500,503,502,503,943,800,500,704,666,649,800,502,503,282,964,503,649,500,649,530,501,503,503,649,649,800,500,800,501,800,649,502,282,502,420,500,649,282,800,800,503,349,16,504,649,502,500,443,172,157,16,800,500,282,169,502,649,800,649,503,503,503,800,501,501,501,504,649,16,503,502,649,500,501,502,649,348,502,800,649,107,800,501,502,503,800,501,800,503,800,800,282,500,503,500,800,107,501,800,800,236,502,800,502,282,501,502,502,800,927,800,502,511,503,500,500,697,282,502,502,503,503,501,502,500,800,649,649,501,500,787,649,649,500,501,649,502,500,503,500,501,502,282,34,503,500,800,800,502,502,501,503,502,800,710,649,503,503,504,502,800,649,501,503,503,800,649,16,649,282,503,649,800,503,326,636,502,16,800,503,501,800,503,502,282,501,502,501,697,500,502,649,282,503,500,502,502,649,107,175,500,500,502,28,502,503,500,899,776,282,273,503,502,501,501,503,800,501,282,653,503,800,400,800,649,642,16,503,502,282,502,501,502,282,649,649,282,16,800,502,282,103,500,503,500,800,800,282,500,502,649,282,502,502,502,282,503,686,649,216,800,502,807,216,231,503,502,977,947,503,649,500,611,502,503,501,503,649,501,504,282,649,800,800,649,800,503,502,502,649,502,800,500,649,503,500,501,500,501,503,800,503,800,500,649,915,800,800,503,502,806,504,501,800,649,501,649,503,501,649,502,649,501,502,501,500,800,282,502,800,80,500,502,501,501,800,649,502,504,501,800,863,501,500,501,16,800,503,282,649,502,500,503,501,500,503,503,502,800,649,503,649,503,503,502,800,649,282,282,800,503,800,503,482,282,282,503,16,503,649,409,800,16,740,501,501,502,649,16,501,649,502,502,800,649,503,800,502,649,800,649,800,503,282,502,800,649,501,500,282,800,500,502,216,503,999,502,502,800,353,282,504,500,50,501,503,503,649,800,328,501,16,807,500,87,762,800,503,165,503,649,502,501,800,500,501,500,800,188,649,800,649,500,502,649,309,502,500,649,800,502,502,800,551,351,503,501,282,103,503,502,502,282,502,501,421,649,500,502,963,500,649,501,501,503,649,8,282,501,606,503,503,501,503,282,377,501,503,649,502,500,20,477,659,800,501,689,282,800,501,282,800,649,501,800,16,502,501,800,800,500,800,800,502,569,684,1000,649,649,501,501,500,887,504,835,800,500,503,503,501,503,16,503,504,649,500,502,282,501,503,504,500,649,500,800,282,500,503,500,282,502,502,649,282,16,502,282,266,503,282,712,16,282,502,501,502,800,501,16,800,649,806,649,501,501,800,500,649,800,501,874,919,16,501,501,500,501,800,800,800,16,800,501,503,800,649,500,501,282,800,649,501,503,503,800,503,282,503,649,16,503,501,501,503,500,282,16,504,649,502,649,504,500,502,800,502,475,649,800,649,261,503,404,262,504,500,500,649,282,500,500,503,800,16,434,502,503,501,649,501,800,800,780,898,500,503,800,800,282,681,501,800,502,649,649,800,107,100,649,800,800,503,649,502,282,502,501,282,282,500,500,503,960,503,282,500,501,501,502,937,154,800,503,502,501,282,503,800,501,649,723,649,501,500,502,979,502,500,502,503,649,502,800,503,502,502,633,800,800,501,501,501,350,649,649,530,649,912,800,649,800,800,800,503,500,800,900,502,649,503,649,503,502,405,282,282,501,501,126,502,503,719,501,500,502,503,501,482,500,800,667,500,282,500,649,800,649,16,500,535,649,500,282,649,522,800,649,649,800,502,500,503,502,500,800,500,501,649,501,501,282,502,503,500,502,501,501,503,705,501,282,504,800,649,502,800,500,501,390,282,871,503,500,649,649,649,501,501,649,693,501,503,501,649,649,501,500,649,503,503,282,503,501,748,501,500,800,107,282,282,503,501,502,649,503,721,503,800,800,649,500,617,800,282,337,513,503,503,800,649,649,23,502,502,501,501,500,800,500,503,649,800,649,500,503,649,800,242,500,649,504,501,282,146,524,107,282,503,503,282,649,503,502,282,502,502,649,500,103,502,800,502,282,500,502,977,503,649,649,649,323,500,282,503,500,800,501,800,503,107,503,649,503,503,503,500,504,503,503,649,981,800,502,649,501,649,649,500,503,501,800,502,503,503,162,502,502,282,501,503,500,800,800,282,649,504,649,649,502,500,502,649,502,800,282,649,649,649,885,649,503,800,500,209,107,503,503,649,882,164,503,92,501,501,501,522,800,800,500,503,504,501,16,800,503,746,16,503,500,503,502,282,502,800,649,649,800,800,800,16,328,502,503,82,500,500,502,500,503,649,649,501,502,800,502,800,501,771,107,503,502,503,501,501,503,500,500,635,800,502,500,787,107,800,502,501,649,649,501,800,500,282,286,502,649,503,800,501,649,282,501,649,800,493,502,500,850,503,800,501,502,502,500,649,502,502,800,502,800,502,811,502,427,502,16,800,502,501,372,503,500,502,16,502,500,501,16,500,807,501,649,800,686,500,282,800,282,800,282,500,501,800,959,502,501,282,503,700,450,503,800,503,503,800,649,649,649,500,502,501,800,501,502,503,502,649,501,133,230,500,800,881,800,502,166,502,502,649,502,129,503,502,649,800,502,282,800,649,503,502,501,932,649,500,504,501,501,649,800,500,649,501,649,290,819,800,649,503,16,502,800,500,501,503,500,502,890,501,800,503,500,500,31,89,503,800,501,501,614,500,107,800,981,501,500,705,367,47,649,503,500,502,800,503,892,503,502,502,649,503,501,649,649,800,500,501,501,500,501,502,503,649,501,282,501,800,800,649,503,500,300,503,107,500,792,282,404,649,282,503,649,500,501,282,649,503,800,282,503,800,927,414,500,649,107,649,800,282,500,800,894,649,502,800,962,282,649,500,111,500,649,77,503,282,800,501,500,93,800,501,503,503,500,502,500,501,500,501,649,544,441,500,503,800,282,297,503,800,502,649,227,501,282,502,502,768,16,868,713,502,447,800,503,107,649,266,649,500,500,313,500,501,665,502,502,649,500,16,503,992,500,503,501,502,502,800,500,249,649,282,16,503,649,800,501,980,503,501,503,502,500,800,501,500,239,103,800,503,500,800,800,800,16,800,501,16,503,800,24,615,504,503,501,649,649,195,501,503,188,800,500,579,649,503,503,22,500,800,502,610,800,649,16,501,503,503,502,800,649,649,124,800,16,502,863,800,500,649,501,500,800,501,649,649,501,502,501,54,502,502,282,800,500,502,765,649,16,502,649,501,282,649,649,107,503,503,649,501,800,282,649,501,800,501,503,107,712,500,800,16,800,800,800,629,503,500,501,282,800,16,800,500,282,134,800,502,16,649,504,504,282,282,909,501,501,800,503,466,189,500,502,800,16,503,16,852,500,653,16,503,282,501,800,441,800,649,649,502,500,649,16,800,503,500,282,502,502,504,800,503,502,500,203,501,16,341,503,862,502,649,282,500,500,18,503,800,282,500,501,800,502,16,500,119,500,649,503,500,282,55,501,282,503,500,502,502,800,800,282,834,649,502,282,503,16,501,502,500,500,800,16,502,649,501,501,501,503,16,282,500,500,500,649,800,500,501,503,503,501,502,500,282,351,501,502,503,800,800,543,502,501,501,501,500,649,501,501,649,649,649,800,502,649,500,649,17,760,619,502,226,649,282,503,500,649,649,649,16,800,649,502,179,503,472,503,800,503,100,500,778,16,500,504,282,72,503,503,649,800,282,649,503,501,501,282,501,696,503,282,501,282,500,500,501,500,800,800,501,859,282,500,363,649,282,500,32,16,502,649,800,501,282,898,649,800,500,519,503,283,649,503,502,501,503,282,502,800,502,502,800,503,503,800,501,16,800,800,501,800,107,500,501,503,502,878,631,503,800,649,500,501,649,500,800,502,502,501,800,800,649,615,501,16,503,107,800,16,500,503,502,570,800,504,500,494,502,500,876,730,501,800,501,596,501,502,800,477,16,649,501,500,800,719,800,649,282,153,913,503,502,503,501,649,800,501,500,501,499,502,282,649,282,807,501,282,503,782,501,800,649,501,649,282,800,16,502,705,458,16,377,500,501,800,16,649,503,504,649,282,649,800,503,10,500,502,800,500,107,501,649,502,501,504,500,501,800,500,501,282,504,501,500,502,693,502,358,800,502,282,503,502,503,501,503,501,503,503,500,502,649,501,502,642,447,159,649,501,649,500,800,16,502,800,305,502,792,800,800,807,501,502,107,649,500,501,502,502,500,763,502,503,800,500,500,649,800,982,649,501,501,649,649,649,649,502,282,800,504,679,500,649,503,500,501,282,500,502,800,153,502,500,500,883,649,649,500,282,16,800,501,800,503,501,649,583,22,500,800,500,282,649,507,800,500,501,649,649,503,282,503,659,500,282,800,501,503,502,500,502,500,523,800,800,800,502,500,500,282,497,501,500,501,16,649,501,788,501,800,800,16,501,500,502,649,800,502,500,504,649,501,649,501,501,501,800,503,649,501,502,649,500,501,501,250,800,649,500,502,800,649,931,486,502,503,649,649,282,340,800,800,73,502,649,133,502,649,800,502,162,503,800,649,502,501,107,502,502,501,503,16,649,800,502,103,16,500,503,502,502,649,503,502,800,500,282,649,800,800,504,501,714,500,500,800,500,282,649,501,800,649,800,500,649,500,649,500,800,503,649,503,502,800,501,649,500,504,209,502,107,502,16,282,501,501,649,649,800,503,905,649,649,500,503,649,282,800,503,500,501,501,503,501,800,76,649,294,501,184,504,500,503,502,282,502,649,503,282,649,282,649,649,501,502,108,501,501,503,504,501,649,282,502,501,500,502,501,800,282,681,503,503,800,800,503,491,649,649,503,282,500,501,503,800,503,800,503,502,504,800,282,16,300,502,502,649,16,649,503,503,282,501,500,500,282,649,502,649,800,800,16,649,501,282,800,28,649,503,502,503,800,503,16,649,800,502,649,771,501,503,649,500,800,649,503,16,649,502,502,842,502,504,247,649,800,500,800,649,500,282,800,501,610,502,501,503,16,501,800,816,501,500,649,502,800,800,500,503,500,501,502,800,107,649,501,282,503,502,502,16,501,800,502,500,800,277,502,800,365,502,16,800,800,749,800,282,43,282,800,503,800,503,262,503,500,649,504,649,282,718,649,800,649,282,800,470,800,502,649,800,503,503,501,500,503,16,500,999,800,500,502,800,800,502,503,501,282,800,892,503,870,500,800,649,800,500,503,502,800,434,649,649,503,800,875,16,282,800,104,649,649,502,504,800,306,282,800,282,501,536,281,502,501,63,47,504,16,282,800,504,649,649,503,282,800,501,649,800,503,282,502,501,502,282,502,500,103,500,502,504,501,800,502,502,504,500,16,502,503,503,504,581,339,800,503,500,807,649,800,500,503,500,502,501,502,502,649,649,649,504,503,501,286,326,137,500,16,500,282,282,522,500,500,813,950,500,501,500,503,800,800,501,501,649,16,502,649,501,500,649,503,282,500,503,649,502,282,665,800,503,16,501,503,800,282,502,282,500,16,649,502,500,649,649,501,649,649,649,649,503,503,649,501,501,800,649,501,500,916,37,649,500,800,649,16,503,282,503,16,502,800,800,501,282,503,649,500,502,968,500,649,503,503,500,282,642,502,502,162,502,800,649,500,589,500,649,107,502,503,532,447,800,282,500,501,502,598,649,502,436,503,504,501,503,501,501,562,792,282,503,503,649,649,800,282,500,434,503,500,501,500,500,844,503,800,501,800,500,500,503,800,500,282,502,649,500,500,800,16,800,501,502,503,503,649,504,500,282,500,803,282,649,123,800,502,3,502,354,501,800,800,800,536,447,500,503,502,503,800,500,501,503,503,800,136,208,502,419,500,504,649,502,800,503,848,501,649,501,502,660,649,502,501,503,500,649,727,500,503,504,501,502,649,503,503,18,500,502,501,501,800,72,501,16,503,800,800,649,503,501,649,6,502,800,649,11,649,800,500,800,503,502,282,500,127,501,649,891,282,501,841,107,503,502,800,500,115,500,800,806,649,800,503,16,502,800,502,503,502,800,503,796,16,503,800,282,649,421,327,800,160,649,800,714,16,649,515,503,272,649,649,502,503,800,503,503,800,800,649,502,649,501,502,503,502,500,502,502,501,800,800,500,501,501,503,500,800,800,500,649,228,502,504,800,502,800,501,501,823,649,800,488,649,624,500,282,807,800,500,501,502,503,502,502,282,502,282,502,503,107,500,502,501,649,502,502,501,500,301,21,502,282,500,501,501,502,501,503,282,282,800,504,800,800,504,501,502,649,800,502,500,800,800,500,502,16,500,722,282,649,503,501,501,649,107,282,502,282,502,503,500,501,707,501,502,282,649,649,500,604,800,282,502,501,800,282,501,500,649,649,152,503,800,502,501,502,503,502,649,500,502,800,504,500,503,501,500,500,649,502,502,500,324,500,649,503,800,870,501,282,504,649,904,503,649,649,500,503,16,502,649,649,800,502,500,501,137,800,282,649,604,501,107,649,649,649,800,500,503,649,503,649,649,501,649,29,502,503,501,282,800,501,800,961,800,107,500,800,542,800,502,503,500,502,282,800,282,649,93,501,649,500,79,500,500,282,501,282,106,503,649,649,501,649,501,16,598,649,500,500,16,79,503,500,805,302,501,183,500,503,500,503,504,800,500,501,107,502,503,282,501,674,502,649,503,649,584,500,500,282,481,502,800,800,857,500,800,800,649,16,501,800,649,649,649,315,649,502,503,649,800,530,502,160,800,800,500,800,649,503,502,649,504,464,503,503,500,501,502,503,800,807,16,501,501,503,500,649,409,800,649,504,503,800,503,501,16,16,500,504,502,649,502,649,500,503,503,501,282,500,282,800,649,16,282,649,500,502,501,501,503,500,649,500,16,649,649,800,42,282,500,501,800,503,649,800,308,991,501,502,649,241,561,500,976,502,500,16,282,501,649,845,16,282,500,501,5,500,649,800,282,913,649,501,364,800,858,503,502,649,503,501,649,800,500,503,16,649,500,100,500,282,649,504,107,649,649,100,500,800,484,800,649,649,649,502,379,500,503,384,84,649,800,503,502,800,501,501,800,282,282,820,687,500,503,223,503,503,501,282,500,501,501,649,16,503,800,372,501,503,502,503,503,501,501,502,282,500,504,500,800,503,282,282,282,503,502,500,649,800,16,501,500,504,649,649,691,800,282,503,649,502,800,501,503,282,501,800,503,649,501,282,500,503,649,649,282,500,800,544,800,426,502,502,501,295,649,800,502,359,501,500,502,282,649,503,800,501,501,500,999,500,502,500,800,503,503,500,503,500,649,734,282,282,649,282,502,632,16,649,282,952,500,501,501,503,800,649,503,504,649,502,500,503,649,501,502,899,502,501,503,282,800,819,501,649,107,503,503,502,503,500,800,503,503,503,503,503,500,446,800,503,16,649,16,502,992,503,501,501,282,384,237,500,501,282,835,107,502,501,502,16,503,503,282,502,502,502,750,16,500,503,500,16,16,500,502,621,17,501,800,444,282,800,800,649,502,501,649,502,502,649,501,502,333,504,150,577,853,503,649,705,504,649,800,800,58,107,500,501,502,503,500,501,502,500,800,502,500,503,502,501,502,800,501,500,649,500,800,800,501,649,503,576,503,503,500,500,500,649,503,282,502,800,502,503,100,501,500,501,501,800,500,649,503,504,503,501,503,588,501,800,504,500,503,324,282,502,699,501,649,649,503,500,502,649,249,239,174,501,502,500,800,501,800,443,501,282,103,800,502,646,649,282,503,501,800,500,501,451,500,501,195,501,503,16,800,502,649,503,502,503,649,500,282,501,500,503,502,501,800,649,411,503,502,107,500,503,649,503,502,282,800,649,361,503,419,800,107,500,282,800,395,503,501,781,16,500,500,800,401,528,800,500,687,500,502,649,282,501,595,800,913,16,500,503,503,649,649,501,649,502,649,649,501,649,504,502,502,501,16,800,503,649,503,503,501,502,649,500,502,500,501,502,649,800,501,649,649,649,649,530,501,501,503,500,649,649,65,503,501,501,784,649,649,500,415,502,649,282,649,282,501,502,500,503,503,501,501,502,501,501,501,503,800,500,500,501,282,500,504,502,503,800,501,626,800,184,500,800,649,500,503,406,503,282,500,282,649,502,503,500,649,500,649,503,107,500,620,502,503,649,215,800,501,500,800,501,800,18,374,502,800,649,502,502,500,800,502,502,814,504,800,503,502,649,897,503,16,502,800,501,503,282,501,500,503,800,800,800,282,502,282,800,75,501,16,649,501,144,501,800,501,502,649,103,649,503,502,16,354,151,282,500,800,501,502,502,501,649,502,230,502,500,800,16,649,107,694,502,649,800,649,500,503,503,502,16,501,504,502,502,500,503,649,107,16,2,501,502,503,800,16,649,500,892,282,216,503,257,500,500,282,503,501,16,500,649,503,502,503,420,500,107,503,415,501,500,503,503,649,282,649,500,504,503,649,359,649,501,649,16,282,502,282,501,503,966,649,502,504,504,16,800,649,502,500,500,501,502,500,800,500,502,502,503,282,500,107,503,649,800,502,502,502,825,501,649,500,503,501,649,16,16,500,500,16,87,155,16,800,16,649,501,501,503,503,961,503,649,503,282,282,649,690,502,502,501,649,503,649,502,501,500,798,501,949,800,500,501,992,504,103,107,107,16,649,649,500,649,16,800,501,503,501,501,649,503,503,800,501,503,649,501,503,800,500,16,649,501,800,800,649,800,460,185,16,649,502,503,649,800,169,800,800,502,501,707,159,649,501,895,500,649,649,501,502,500,103,649,982,800,802,649,503,500,649,500,501,503,649,500,503,501,107,16,649,189,504,800,503,649,800,25,500,502,928,16,880,503,503,800,500,448,785,282,800,649,503,342,503,800,649,501,500,502,502,501,800,500,649,800,315,649,501,800,649,900,500,107,503,649,649,800,501,501,37,500,500,502,649,800,807,503,974,649,800,501,430,649,500,800,932,501,800,800,800,502,503,503,501,503,500,504,500,16,503,503,864,500,649,500,501,649,503,649,503,501,557,500,500,282,492,455,800,649,501,282,503,502,800,501,705,503,501,502,504,657,500,649,502,649,500,282,503,282,500,500,649,500,502,503,800,501,800,501,800,502,669,649,800,501,30,503,502,503,500,503,501,504,502,649,800,16,502,459,502,503,424,649,649,502,649,800,800,282,16,800,649,16,800,500,502,800,501,282,16,501,501,500,282,502,502,501,503,540,371,800,501,16,577,500,181,282,501,800,501,501,800,502,500,649,500,500,649,649,504,649,282,502,800,502,501,800,502,502,501,503,800,501,502,282,501,800,633,502,503,705,649,500,501,800,502,920,267,800,502,800,500,16,896,500,561,800,16,800,501,629,501,800,501,502,502,282,502,800,504,501,501,649,800,501,502,185,501,503,800,500,501,766,800,503,376,657,16,666,500,649,500,502,158,938,501,16,350,503,503,500,282,503,282,502,500,503,649,504,800,500,501,649,202,502,503,800,502,500,16,800,502,500,292,766,503,649,953,800,500,501,501,226,649,649,504,649,649,639,503,800,501,62,503,649,413,503,649,503,500,500,502,282,503,501,500,500,501,649,800,629,16,502,501,503,500,800,501,299,502,799,501,500,381,502,501,501,800,800,501,238,503,649,800,282,273,504,503,503,500,501,501,503,500,501,501,649,642,503,501,500,649,649,501,800,911,502,503,512,649,282,502,800,502,502,500,649,649,503,503,503,501,800,649,466,282,501,649,16,502,502,649,649,800,759,502,503,800,501,502,503,501,503,800,800,502,161,500,478,503,649,501,502,800,503,670,501,266,800,501,503,502,383,800,503,649,502,504,503,502,649,513,928,107,503,649,649,282,800,503,501,500,800,500,502,503,649,282,282,502,282,282,500,800,649,649,800,500,16,503,478,734,649,649,500,500,502,528,649,282,501,800,282,500,649,800,949,800,282,16,503,800,649,503,982,649,800,502,800,649,501,282,800,800,800,500,503,500,800,503,502,503,502,282,503,451,503,503,730,649,402,500,502,502,502,530,983,501,649,501,339,501,501,500,500,503,502,682,503,500,243,501,503,649,502,503,800,500,501,502,800,501,500,500,107,800,503,502,501,500,16,501,800,16,649,282,16,502,282,503,501,501,589,501,436,500,800,501,282,501,282,800,502,500,502,831,501,501,800,501,800,502,756,649,800,16,705,800,649,503,649,501,800,503,800,502,503,500,660,282,800,501,282,649,800,282,321,503,800,282,38,800,503,500,282,47,500,759,542,503,500,503,517,649,282,800,503,800,404,800,503,503,649,649,502,649,502,649,649,800,800,501,501,500,800,501,397,500,501,649,501,500,501,649,503,107,501,500,500,501,649,732,958,501,502,502,282,271,503,502,282,16,503,502,649,502,376,502,952,500,501,503,502,282,649,501,649,502,800,504,107,500,503,502,150,649,282,148,501,502,800,501,649,215,501,649,501,698,500,895,500,502,800,503,502,800,502,628,502,800,282,800,500,649,800,649,649,126,800,562,800,800,500,800,711,500,503,16,16,500,503,649,800,649,800,500,282,502,501,502,649,282,502,502,649,800,502,649,501,501,282,500,282,282,282,649,459,743,503,16,800,649,501,503,800,16,238,800,800,501,282,55,503,503,502,282,800,800,329,503,800,502,503,502,649,503,282,612,800,502,282,800,649,502,502,800,501,500,103,500,502,502,946,501,502,107,16,800,800,649,16,288,503,503,250,649,501,500,500,502,500,151,500,501,502,503,500,502,649,502,800,501,800,503,41,800,503,503,503,502,500,503,616,503,649,501,502,282,502,500,500,721,649,501,500,282,502,649,800,40,374,504,502,800,500,502,500,128,502,706,800,501,500,16,503,784,503,649,501,503,800,649,775,800,503,800,502,502,501,502,800,16,244,282,862,800,107,945,407,282,502,649,649,16,503,649,800,16,282,336,501,501,500,500,500,800,503,503,55,503,500,800,503,501,502,502,649,282,649,27,960,501,649,503,501,501,503,503,501,501,502,500,500,503,500,649,501,800,503,503,501,504,503,800,503,282,366,800,46,503,502,500,500,239,503,800,649,800,800,649,649,649,500,501,703,103,649,800,502,501,501,800,500,501,503,501,649,800,282,100,800,503,503,501,501,501,649,501,201,500,649,503,649,410,502,500,800,705,598,282,500,282,502,649,16,649,503,800,649,272,501,500,103,649,503,503,458,502,649,502,282,501,282,503,501,503,649,500,282,918,503,500,649,800,649,500,502,500,800,502,800,501,649,100,990,649,649,500,503,502,503,356,649,502,500,649,649,500,964,501,501,501,500,800,103,705,650,800,500,503,649,503,501,502,501,503,800,500,800,876,501,412,502,800,501,649,500,334,501,805,16,922,107,649,16,503,503,800,649,503,800,504,500,282,88,282,800,282,501,502,649,649,16,502,800,704,503,502,501,500,800,282,193,503,649,649,678,3,501,503,498,501,501,502,916,866,500,500,649,500,261,503,502,501,501,501,502,800,649,502,502,649,500,282,649,553,501,500,107,502,503,800,16,67,500,502,500,502,282,649,500,282,503,54,501,504,800,800,292,503,800,800,502,503,502,503,649,840,501,500,800,193,800,500,807,649,500,6,800,800,502,500,898,649,800,500,501,501,649,649,649,800,503,502,16,501,502,500,502,501,439,544,501,501,503,502,504,502,937,282,501,501,501,501,800,590,649,800,649,282,800,500,503,768,502,800,502,503,848,503,500,488,59,282,103,282,502,504,502,502,502,503,800,282,821,353,16,502,282,189,649,161,282,649,502,502,649,501,501,649,282,500,282,501,16,502,800,502,504,502,646,282,800,502,501,282,500,649,501,500,502,282,502,503,501,503,800,107,503,500,800,649,500,800,649,500,649,489,649,649,500,491,800,503,502,649,500,500,649,649,501,91,570,502,501,501,449,649,500,500,501,502,649,504,500,503,503,502,501,649,452,807,503,503,736,16,282,501,503,800,501,740,231,51,502,16,503,800,282,917,501,500,800,503,649,796,282,649,282,501,282,649,282,504,502,503,546,502,649,800,501,16,649,501,649,501,529,502,800,649,153,502,107,649,800,649,503,800,800,649,503,502,800,282,503,16,502,503,800,649,500,649,800,503,800,502,649,418,502,282,649,649,649,500,501,800,649,965,800,501,649,649,282,800,800,388,501,503,649,649,502,649,503,502,501,501,500,800,502,800,800,503,16,282,501,503,850,501,502,649,800,649,501,143,500,503,210,196,800,649,288,503,500,501,800,16,502,275,502,501,500,649,500,907,800,914,500,649,649,502,800,282,649,500,800,282,501,501,282,649,501,502,502,649,800,800,800,503,503,649,501,502,501,502,500,502,503,501,800,649,282,503,501,649,800,800,503,503,500,282,282,16,500,501,74,503,502,501,231,500,649,282,502,502,504,800,503,500,503,503,501,649,501,800,502,649,503,282,800,501,502,649,680,800,282,649,800,501,649,503,503,501,500,502,503,500,833,500,16,649,649,225,221,329,502,800,800,368,649,800,649,502,811,502,800,501,502,502,503,16,502,649,503,800,500,800,500,649,502,502,282,502,649,502,16,500,463,501,649,649,503,413,649,503,503,800,649,501,502,500,800,649,800,501,502,64,503,500,502,501,501,502,649,501,649,501,500,649,16,800,649,649,502,500,501,503,800,649,500,500,501,800,16,800,500,282,107,282,649,16,800,282,282,503,500,502,282,228,503,649,800,501,800,500,504,503,502,502,503,501,730,502,500,282,282,633,503,501,502,501,649,503,800,973,503,800,503,282,649,800,800,502,501,501,649,800,500,504,800,502,649,503,502,502,504,483,649,649,501,652,500,649,800,503,649,502,502,800,800,649,501,500,500,501,503,500,649,504,503,500,282,800,649,501,649,500,502,649,649,500,501,800,34,503,502,500,649,541,501,501,484,501,800,503,504,501,502,745,102,500,800,16,16,500,815,502,16,460,800,649,800,501,503,502,649,183,503,800,800,503,503,503,500,501,500,503,500,501,282,503,800,501,500,649,649,765,649,501,501,282,480,979,503,502,501,502,503,500,503,107,800,503,800,649,547,501,503,504,978,656,503,503,649,800,649,502,800,649,396,890,503,800,649,800,500,800,501,282,501,501,501,500,800,501,800,500,500,503,103,800,75,500,800,503,250,501,856,502,755,502,501,649,649,555,502,649,800,500,502,16,503,800,501,502,649,503,282,16,16,502,500,282,500,503,503,282,500,502,500,502,282,16,502,16,501,16,502,501,649,390,500,482,716,502,500,501,649,500,16,327,800,500,800,800,501,649,503,501,500,800,649,800,503,501,649,800,282,800,649,861,501,500,501,502,503,286,503,649,502,501,503,500,500,503,500,503,503,501,502,500,800,502,501,502,502,282,282,504,969,829,502,800,941,16,800,800,502,800,503,433,500,501,466,282,503,501,500,503,800,649,501,500,282,502,16,885,84,649,433,282,282,503,800,502,500,501,504,503,284,500,503,500,649,800,503,800,501,501,502,500,502,501,800,649,649,504,112,502,649,503,800,502,251,282,503,649,502,649,634,282,503,800,800,500,503,503,500,500,282,501,503,649,282,502,103,107,649,800,500,800,502,504,16,501,500,503,500,501,501,500,649,236,501,649,502,500,649,501,503,649,502,649,501,503,334,649,500,103,649,800,232,501,500,800,503,800,434,502,503,500,16,503,501,502,501,502,502,502,500,503,503,705,282,107,253,16,320,503,16,363,502,502,800,988,502,800,705,501,60,649,800,500,502,800,503,282,501,16,649,975,282,500,282,282,502,500,502,500,282,800,503,649,649,504,800,282,800,9,16,649,502,502,649,847,649,800,800,502,800,16,502,800,501,649,800,649,501,649,501,136,503,503,649,502,649,282,107,405,649,649,500,800,502,282,282,502,950,282,503,501,503,649,649,502,501,282,800,502,502,500,503,500,501,649,503,649,800,649,500,649,501,503,508,282,282,501,278,472,502,502,501,800,649,288,800,282,800,503,800,501,649,155,503,809,502,501,107,503,51,500,500,107,800,282,501,282,922,500,502,649,649,500,503,282,500,503,649,500,282,649,228,501,388,428,501,504,501,503,649,500,800,500,500,501,473,800,21,503,594,800,502,503,107,649,649,609,282,503,501,649,504,977,500,649,649,500,649,649,500,800,503,502,698,773,559,800,5,502,649,800,282,618,16,282,649,503,282,649,501,282,120,800,504,500,500,649,800,800,800,503,503,501,502,501,500,504,502,503,503,649,501,282,502,500,501,503,502,500,503,503,502,649,503,16,649,107,501,500,425,504,501,503,504,649,502,501,502,282,800,649,502,500,809,919,595,502,500,502,649,501,502,800,583,502,500,502,277,501,502,282,16,247,503,16,501,800,500,836,500,502,364,501,503,744,649,501,503,649,649,500,501,501,912,503,500,500,502,282,502,699,503,800,870,503,800,649,501,996,503,16,501,501,800,470,282,502,800,501,125,720,800,502,16,503,649,649,282,502,282,800,282,503,800,821,500,501,501,501,504,649,501,502,502,503,293,937,501,501,800,503,502,901,500,16,501,1,649,502,800,649,503,502,16,649,503,649,137,649,500,503,649,649,800,800,800,503,500,410,500,282,800,923,282,649,501,800,282,649,500,649,500,501,649,800,503,94,304,649,503,466,503,500,649,503,5,726,800,745,503,800,500,502,502,314,503,649,649,800,500,500,500,502,649,500,502,502,705,502,193,503,500,500,501,907,649,501,500,501,800,502,501,500,282,500,649,800,502,502,502,500,649,800,800,504,500,107,502,500,502,649,502,800,800,525,800,98,649,503,501,16,502,502,502,800,500,800,800,501,503,503,502,800,16,800,503,800,16,502,500,500,649,800,282,649,503,503,103,81,800,502,61,649,503,500,649,649,502,243,800,502,501,197,814,800,500,282,503,503,503,501,500,501,800,502,503,502,804,502,500,49,502,500,500,503,503,488,709,503,501,908,473,148,501,649,649,501,502,501,501,800,502,501,800,649,282,869,501,503,504,504,502,503,800,282,501,502,501,503,800,500,649,503,429,649,503,16,194,107,16,500,503,501,800,501,800,282,170,649,282,786,649,503,764,282,501,800,649,503,500,500,16,649,502,503,501,500,103,800,500,503,649,800,502,137,502,500,649,500,282,282,282,614,503,539,807,649,502,500,503,800,121,649,282,502,503,501,501,502,282,99,500,282,502,11,649,501,500,649,501,650,504,503,501,800,500,502,500,16,800,800,649,502,800,501,649,503,649,58,501,503,800,216,649,550,500,649,649,107,500,649,501,800,501,871,501,500,501,502,649,501,800,649,282,501,502,500,501,649,282,141,501,800,502,800,501,685,500,282,501,800,16,649,503,276,775,501,504,501,503,968,135,500,501,800,501,649,500,500,500,500,800,500,503,800,503,800,900,800,503,500,501,132,504,587,500,282,543,800,649,502,502,282,800,504,503,800,737,147,500,503,67,800,568,503,800,502,503,16,500,503,282,16,400,649,800,649,502,943,890,500,502,503,649,282,800,822,503,649,501,500,649,800,503,500,642,502,201,503,800,962,649,502,16,500,501,503,502,107,649,649,500,503,282,501,834,516,800,800,800,86,16,500,503,500,501,501,504,503,502,500,500,282,502,503,501,282,503,500,500,500,500,282,501,800,800,501,648,501,800,503,282,649,799,502,327,16,503,800,800,976,16,503,503,649,501,503,500,503,503,503,800,800,800,16,500,500,500,503,525,500,302,501,649,679,800,649,649,503,649,503,503,502,502,502,502,503,501,16,502,649,501,503,500,16,502,500,187,503,500,800,501,649,503,800,500,502,502,502,350,501,502,501,649,501,502,503,503,500,649,282,800,501,503,649,282,107,649,502,649,218,503,294,501,501,649,502,763,800,502,800,503,501,500,904,800,649,500,548,282,924,438,502,503,800,504,649,800,800,800,500,649,502,502,649,500,800,502,239,502,501,147,501,503,649,16,282,16,501,502,503,502,501,503,800,800,500,177,500,649,282,856,500,501,501,502,649,800,800,649,502,503,800,502,502,282,273,800,649,501,800,889,504,501,282,502,282,471,282,500,649,268,649,282,800,502,500,649,304,503,826,800,500,501,649,800,502,371,501,779,503,7,504,500,503,16,502,503,649,502,502,649,501,500,501,500,503,305,732,503,830,500,441,500,649,282,503,503,503,800,917,504,503,502,503,751,800,800,800,16,502,800,500,282,501,649,798,282,800,501,200,800,501,503,724,500,501,500,103,113,502,502,800,500,502,503,500,874,503,16,800,800,501,502,504,502,501,500,503,503,800,504,184,500,501,501,282,501,649,282,504,525,501,800,503,649,501,800,75,502,800,649,501,500,501,616,502,16,319,800,501,503,800,503,800,800,502,500,501,502,503,682,800,800,16,103,502,800,649,503,503,800,503,502,503,501,649,500,543,502,649,502,501,500,500,500,501,503,107,849,16,500,800,501,800,502,502,500,230,944,107,503,500,501,649,503,649,500,649,675,282,657,500,63,503,16,503,800,503,501,103,500,502,504,800,501,500,137,800,282,503,649,503,502,649,503,4,502,649,649,502,287,500,282,502,500,500,501,500,649,282,107,502,503,501,800,500,501,800,997,502,800,649,503,649,502,500,589,211,649,649,174,500,501,500,500,649,574,16,800,632,800,503,649,800,502,649,503,500,282,425,500,503,503,502,501,813,127,500,502,193,516,501,500,16,500,800,504,649,500,800,649,16,103,649,621,502,800,800,800,774,704,800,501,502,503,282,800,649,503,500,500,282,500,500,503,649,649,800,501,649,503,500,399,649,500,502,282,649,504,649,649,503,500,502,502,126,649,490,501,500,503,649,501,501,800,501,503,500,800,501,501,503,649,503,501,800,800,500,503,888,504,503,504,502,500,649,16,649,800,52,502,502,501,502,503,482,503,800,501,800,649,950,800,500,800,501,503,16,501,800,501,649,503,502,841,501,800,68,649,503,501,649,501,800,166,501,282,508,800,501,501,282,502,501,502,503,282,502,800,503,52,800,282,502,502,500,502,457,800,500,502,282,649,800,500,502,501,502,649,800,948,800,500,649,503,800,500,502,501,649,501,800,501,649,502,502,501,500,16,502,917,649,501,15,500,502,503,649,500,372,800,800,649,500,503,501,502,500,649,503,501,777,649,501,503,800,503,502,649,501,500,107,800,800,700,384,501,725,504,649,500,500,500,800,800,533,705,502,649,103,502,951,802,800,282,502,649,503,961,256,501,503,502,16,649,793,502,800,282,500,649,501,282,501,502,501,503,935,500,981,800,503,800,503,503,800,504,107,649,259,502,188,502,282,800,503,437,500,649,48,323,282,500,800,502,800,502,800,487,503,501,649,501,800,800,103,649,640,501,503,502,503,649,649,497,800,649,896,16,500,800,502,107,282,501,502,502,502,16,282,107,649,649,282,502,501,16,984,552,503,16,649,504,271,800,501,622,503,502,500,649,899,503,500,649,502,282,282,316,501,503,503,800,501,974,800,459,649,502,16,502,929,800,103,800,502,500,503,800,502,447,503,282,649,800,502,800,342,500,502,649,502,679,501,500,503,501,226,649,502,501,649,502,800,800,16,649,501,800,503,500,800,502,501,500,488,800,502,818,503,500,16,649,649,501,500,500,503,282,800,502,501,700,500,16,282,500,480,282,800,501,501,649,503,649,500,502,500,800,503,500,990,503,800,282,800,498,503,502,649,649,502,728,800,501,504,649,502,800,504,649,649,501,500,649,501,800,10,649,373,485,503,709,16,501,500,502,503,649,503,649,501,649,503,500,649,800,16,649,800,501,502,800,504,649,503,496,800,649,282,502,282,501,503,502,723,800,501,503,649,500,503,649,282,824,282,501,282,502,501,502,501,31,501,500,230,500,502,800,800,800,502,649,502,500,504,649,506,503,282,282,501,649,503,649,748,502,501,503,504,502,501,500,500,649,649,500,503,800,502,503,800,649,649,416,500,500,111,502,503,649,236,500,649,503,135,502,649,649,800,500,502,721,800,502,501,500,649,649,503,282,282,500,501,649,502,649,800,800,503,649,501,501,501,800,501,16,500,656,16,502,500,503,800,410,501,502,800,285,503,800,16,501,504,649,800,800,501,500,649,107,649,800,501,500,500,501,502,504,839,502,649,644,504,648,425,649,800,502,501,500,800,649,502,800,500,103,502,649,500,501,282,503,422,502,500,649,967,649,649,503,501,503,502,501,502,16,502,649,501,500,502,649,501,708,502,500,16,500,501,16,502,502,503,244,501,500,500,436,649,501,858,501,16,503,501,391,501,500,649,107,504,502,705,454,500,649,649,649,282,282,800,649,939,503,502,501,501,503,800,855,800,502,267,502,502,16,503,649,800,503,500,800,649,503,800,501,502,503,649,923,501,709,502,800,500,502,16,502,595,503,500,500,501,738,503,500,500,503,501,501,500,501,282,705,502,502,502,282,103,257,500,500,501,103,500,501,649,501,649,500,503,502,649,800,502,500,949,501,500,649,282,800,474,503,500,800,504,503,9,107,500,502,503,800,100,500,583,933,503,649,800,502,649,106,297,29,501,502,501,501,649,500,502,502,16,501,800,500,902,501,500,282,649,800,800,800,501,503,503,503,800,649,501,591,502,500,501,502,16,282,502,503,282,800,197,800,503,504,800,503,501,503,800,16,598,282,501,500,500,502,503,649,649,282,500,800,502,649,500,500,649,501,683,500,500,649,500,800,107,348,500,649,501,155,501,504,800,800,800,503,500,649,569,502,285,503,800,502,800,649,769,800,282,16,800,502,502,443,501,446,503,500,500,883,107,503,501,502,503,85,501,800,800,503,649,503,649,800,255,105,800,395,503,983,90,503,800,774,800,103,282,502,500,501,503,649,500,500,500,503,501,800,624,800,649,800,502,282,650,502,282,500,107,504,649,500,500,502,863,372,500,649,282,649,649,481,694,501,844,282,500,800,800,107,501,800,500,502,503,800,503,282,800,501,282,649,800,503,502,523,501,16,800,500,501,303,501,800,500,502,504,503,501,282,649,800,767,501,649,500,282,649,144,649,707,503,557,649,800,500,800,501,501,503,649,503,121,649,88,282,500,500,649,274,404,800,821,282,649,501,501,107,160,649,800,500,953,525,991,649,273,692,503,803,502,503,649,502,501,800,800,207,800,502,501,503,649,800,500,502,503,364,500,282,501,252,649,800,502,704,502,503,709,282,501,649,503,503,503,16,503,800,282,502,503,649,503,504,503,16,282,502,500,500,502,501,33,503,800,800,500,800,500,500,890,800,503,649,800,502,503,502,502,502,800,649,282,500,501,800,503,504,500,301,282,500,800,500,504,16,500,501,502,501,649,959,649,649,16,858,771,282,877,503,16,649,107,504,800,503,800,800,16,649,385,500,502,502,502,500,649,500,750,502,500,337,800,503,501,500,16,282,504,501,361,16,649,800,502,500,501,282,154,649,502,16,501,649,503,504,503,503,800,800,356,282,954,282,800,649,503,282,649,501,16,800,503,612,501,377,800,649,281,502,940,16,501,649,501,649,503,16,800,502,503,501,500,502,723,800,322,500,282,501,767,800,624,800,800,500,16,502,800,282,649,16,502,851,502,282,503,501,800,649,807,503,502,107,800,501,800,800,503,800,500,503,500,282,911,800,107,503,282,282,282,649,502,649,500,503,209,501,649,800,800,500,800,502,503,502,503,502,501,759,503,649,766,16,501,503,183,500,500,649,502,129,649,500,502,649,800,502,501,503,282,500,800,500,503,501,501,359,800,501,800,502,649,282,500,503,502,800,800,433,501,649,180,502,649,649,545,282,503,649,500,500,503,688,649,500,503,500,649,501,501,107,500,282,800,501,501,503,649,800,649,282,502,500,500,649,649,763,216,989,332,502,584,500,800,800,502,502,500,282,503,282,500,800,498,502,500,649,501,500,800,501,364,103,503,503,649,800,360,501,502,502,503,649,500,501,282,502,800,501,501,475,800,503,800,209,649,503,800,501,649,503,502,503,500,800,160,604,734,501,282,800,800,502,501,501,282,500,502,816,282,503,649,501,800,502,502,37,523,649,649,501,500,649,501,800,282,501,500,700,649,578,649,282,503,501,16,649,54,503,500,282,893,800,501,503,504,649,504,649,162,501,337,800,503,501,503,800,501,722,502,913,500,282,649,500,800,364,502,503,649,500,666,16,501,649,800,500,501,502,800,502,187,502,649,500,501,16,649,502,107,800,503,930,502,282,282,800,500,501,501,781,800,800,503,501,502,502,501,282,649,502,501,501,500,500,502,107,503,649,282,649,649,649,503,500,501,649,501,502,416,507,501,503,389,16,282,503,500,500,800,430,54,502,500,502,282,850,503,500,501,501,807,503,502,800,328,501,219,502,800,502,649,451,500,649,501,502,649,649,336,500,282,503,501,504,800,649,500,649,800,800,500,501,503,501,502,502,500,800,329,441,502,503,800,332,800,502,501,282,501,800,513,500,500,649,500,504,500,800,738,649,504,649,282,649,500,427,800,247,503,16,501,502,609,501,502,502,501,16,282,501,800,649,503,800,800,502,503,501,800,649,500,501,649,282,420,702,502,800,500,501,501,241,503,502,649,502,800,426,649,501,649,16,800,502,649,502,16,500,502,501,501,649,649,649,503,504,502,800,282,282,800,107,503,500,500,500,502,504,649,746,649,649,502,502,649,500,649,502,800,503,649,502,800,649,502,282,503,503,460,649,501,829,503,800,16,800,649,13,500,502,800,503,800,107,503,793,502,649,500,500,16,100,501,503,282,800,649,649,500,500,800,158,395,282,503,282,649,502,503,996,800,649,800,500,230,379,800,334,282,501,34,756,504,649,929,801,504,500,503,500,800,501,585,649,800,502,100,16,501,502,649,649,501,70,503,503,649,501,150,649,649,282,503,800,800,800,503,800,282,800,503,504,501,500,417,649,649,501,649,500,504,500,504,502,501,282,500,500,500,899,501,500,649,649,721,500,501,501,800,800,501,502,282,649,857,649,502,501,502,814,16,282,503,502,282,503,800,16,649,501,500,500,502,649,501,502,966,502,800,502,500,502,501,76,504,649,127,503,503,649,503,649,502,446,501,649,503,501,649,800,899,800,366,800,649,502,411,504,282,107,500,500,800,800,503,501,282,800,500,800,501,282,800,502,800,716,282,800,501,705,500,93,800,503,501,503,800,991,504,649,731,501,800,501,800,800,501,449,501,502,503,649,209,800,649,649,520,649,502,502,501,649,649,503,500,28,500,282,16,501,800,649,649,501,800,184,173,282,500,282,764,12,501,800,501,649,503,649,800,502,503,501,282,359,16,282,800,503,501,503,800,502,324,500,800,649,235,682,503,282,500,501,649,282,800,500,649,16,501,649,503,503,501,353,501,501,282,501,538,270,500,502,503,282,501,649,16,649,500,502,16,500,502,830,913,649,501,501,282,682,16,58,502,503,500,503,282,501,800,282,501,800,649,501,502,649,503,649,16,282,813,502,500,501,282,649,503,282,502,800,501,501,568,649,504,16,282,649,282,282,800,649,649,800,649,502,502,282,800,800,107,500,503,500,574,503,503,502,501,800,503,501,501,800,501,501,282,501,502,565,500,501,705,137,649,649,502,501,649,503,16,503,500,800,500,502,976,501,501,503,649,649,646,501,800,649,257,503,649,800,501,501,300,501,571,500,693,500,500,649,800,282,16,282,501,500,282,500,503,282,502,515,872,649,282,502,501,649,282,16,502,501,649,528,460,16,800,800,807,282,503,649,503,649,282,503,501,282,800,501,502,800,649,502,500,503,649,501,16,500,800,625,500,501,743,16,618,712,502,500,501,649,503,502,800,502,800,293,502,649,129,500,503,501,282,500,524,282,502,503,501,502,800,491,108,282,800,501,500,502,500,501,502,503,503,503,503,649,502,282,800,18,287,503,501,503,500,503,502,649,657,282,503,500,503,500,107,16,649,800,903,501,501,503,282,800,685,800,503,457,503,705,500,649,500,503,502,649,501,282,800,649,500,501,502,503,500,743,500,849,502,800,501,501,503,649,16,500,282,16,282,500,282,649,800,501,502,144,503,503,649,503,501,500,16,537,409,649,649,503,500,503,352,500,504,503,282,767,649,869,282,282,501,502,500,800,100,800,501,593,649,503,501,107,500,282,500,503,282,816,800,800,649,502,502,649,800,503,503,500,500,282,807,503,649,503,282,503,500,282,503,800,760,500,500,500,800,936,649,282,649,649,800,501,501,500,502,282,800,500,501,800,501,503,502,248,800,502,500,649,649,932,800,503,503,171,800,501,502,649,419,501,16,503,649,501,503,502,649,45,792,500,501,368,502,488,800,649,282,500,500,16,503,282,800,649,503,742,499,800,282,501,503,500,649,16,282,501,501,503,705,503,649,649,503,800,501,502,163,500,502,649,500,501,800,800,800,166,501,649,800,800,779,107,503,500,695,16,501,500,282,500,800,484,500,649,16,502,282,500,501,649,649,800,503,502,16,500,502,503,800,501,500,500,800,649,282,501,501,649,502,502,500,502,500,503,800,649,564,502,107,800,85,500,282,502,649,800,502,282,501,800,502,800,503,649,504,503,501,502,501,500,500,504,443,107,502,649,500,502,501,282,649,800,501,975,649,503,282,503,513,501,501,649,800,282,502,758,800,501,800,502,500,800,282,649,800,502,800,16,490,501,16,800,502,800,500,866,501,504,401,502,503,501,501,800,500,649,500,800,800,501,282,649,501,906,176,871,446,16,800,501,502,503,501,500,942,800,503,330,503,282,502,800,649,649,375,800,503,503,649,503,501,502,800,503,649,724,503,649,501,502,800,649,500,649,649,500,500,502,800,800,800,89,649,501,503,649,503,800,500,16,503,503,502,533,500,355,282,500,594,502,668,503,500,800,680,800,502,502,503,500,501,336,501,282,503,16,500,500,649,649,649,503,528,705,649,86,649,503,682,800,503,503,500,502,800,800,502,343,500,500,800,502,16,500,500,501,16,649,649,502,800,503,501,649,855,502,503,500,225,800,503,282,500,282,501,230,501,502,502,649,503,504,503,762,502,649,501,604,500,378,649,500,500,502,500,282,165,507,485,500,501,376,16,503,502,649,502,500,504,800,649,503,503,500,649,503,502,503,501,503,502,500,503,501,649,503,503,649,500,282,268,649,800,501,282,500,503,649,502,649,811,504,501,501,501,503,504,503,649,501,649,800,284,649,501,503,502,282,649,800,502,800,502,649,800,503,16,282,504,501,282,176,500,503,502,501,500,501,501,503,649,502,760,800,503,501,788,503,500,378,500,501,800,649,502,502,800,800,665,800,501,800,787,501,649,34,157,789,649,16,503,192,500,16,800,107,16,570,282,282,800,500,502,501,16,500,893,502,16,174,282,649,503,500,503,800,502,16,502,504,103,501,800,800,500,502,282,98,503,500,503,649,503,503,502,520,500,501,501,854,969,503,500,800,800,649,527,503,16,503,850,500,649,103,649,503,502,500,501,991,352,503,960,649,501,503,16,501,800,502,502,649,649,221,800,800,501,500,649,16,800,500,503,503,800,500,500,503,500,501,502,501,503,503,647,502,800,282,800,649,416,501,503,502,169,768,500,649,282,860,649,502,501,503,502,649,282,501,502,500,649,282,107,800,282,649,914,502,16,649,501,649,502,503,649,493,800,649,649,800,800,649,800,649,503,800,502,503,502,649,503,501,649,500,503,503,502,757,503,649,503,501,800,501,501,800,649,500,500,503,502,502,501,500,501,649,800,500,502,282,558,282,501,282,16,502,800,649,501,282,501,501,649,502,649,500,800,501,574,500,649,500,503,500,922,502,135,500,501,501,500,503,501,615,800,682,290,503,502,501,800,527,282,282,703,500,800,502,16,649,500,502,800,282,649,503,500,235,649,649,503,501,502,417,282,649,320,800,282,839,16,501,649,16,282,503,282,282,502,500,979,501,649,501,503,501,503,772,502,649,500,502,502,649,502,500,503,500,504,503,500,502,34,501,502,16,502,117,502,502,282,16,502,501,501,504,501,800,800,501,501,503,500,649,502,649,136,501,649,503,381,800,649,502,649,503,39,649,501,800,8,500,502,503,800,501,502,500,800,16,501,503,282,292,211,501,502,502,800,16,800,504,282,501,800,502,500,502,16,282,800,501,800,649,503,649,649,503,503,649,649,503,649,282,501,500,185,500,142,649,501,501,504,500,502,502,502,503,503,501,504,503,503,500,503,502,282,500,646,501,800,649,103,16,500,16,501,501,800,862,800,502,16,507,788,500,16,282,770,800,963,502,649,16,501,649,282,75,800,504,800,649,502,501,502,16,503,800,501,800,502,649,503,502,800,800,649,16,502,503,800,663,501,503,282,649,500,503,649,503,502,107,16,800,501,501,16,503,504,16,501,503,800,282,317,503,800,909,282,500,460,282,282,649,500,502,501,15,503,282,448,500,500,500,502,282,422,649,504,800,800,500,800,649,649,16,501,656,500,649,800,649,292,501,500,501,282,501,502,501,503,503,500,500,502,649,502,282,501,503,92,502,502,500,16,282,504,107,501,503,503,501,501,501,503,13,502,103,502,800,500,800,282,500,649,697,649,800,500,448,602,649,282,282,503,800,649,640,500,282,453,502,501,800,649,502,800,269,282,649,501,503,503,800,503,649,649,504,501,502,502,504,501,501,981,500,834,504,503,535,649,503,282,500,502,282,503,970,502,16,502,500,502,828,501,103,502,500,501,500,282,800,281,500,500,800,800,800,502,500,500,922,501,649,502,502,503,503,800,501,800,503,960,800,503,649,112,502,502,649,503,22,800,16,82,800,500,649,502,282,1,800,649,501,502,282,800,800,500,761,500,500,500,800,282,800,502,16,282,501,800,649,649,501,649,503,649,649,500,500,501,800,503,282,501,503,16,500,502,501,16,107,482,671,500,282,503,503,89,502,282,800,800,800,501,800,517,146,500,500,500,503,593,649,800,501,502,500,502,581,800,282,502,649,746,501,205,503,502,503,504,800,502,500,800,107,503,649,800,500,800,501,502,16,501,800,649,502,503,500,500,501,649,649,107,501,502,16,501,234,502,16,500,501,649,649,501,420,503,501,16,864,502,649,960,649,383,501,500,16,560,282,503,800,503,348,427,502,503,800,503,710,500,800,705,800,107,503,501,118,649,16,282,503,224,838,502,501,649,501,800,649,649,502,521,16,800,502,503,800,349,503,649,800,501,800,504,501,501,502,800,649,503,503,503,500,500,502,282,501,800,800,655,502,501,501,500,500,502,128,800,334,502,649,788,501,649,503,649,503,16,502,500,503,613,16,800,502,501,502,282,282,800,649,282,282,602,501,503,800,503,649,282,800,107,503,649,504,501,503,502,503,502,501,501,500,502,501,282,501,501,500,502,501,502,649,501,616,800,800,649,501,649,800,502,282,649,649,282,282,800,501,500,504,800,800,503,503,298,649,282,649,649,501,502,107,503,800,800,503,502,800,567,649,503,502,649,501,282,649,500,800,384,649,767,649,282,800,503,501,649,333,649,500,502,649,54,282,501,501,556,500,275,282,649,500,500,800,501,503,501,500,644,282,503,800,503,500,800,926,500,502,649,649,501,649,649,649,649,503,503,800,282,613,500,500,500,292,501,154,501,503,800,503,501,500,500,649,800,500,502,503,500,649,649,502,500,500,500,800,800,649,500,649,501,503,501,823,282,500,975,503,504,502,504,501,12,502,501,501,502,578,502,504,503,16,800,16,500,16,649,503,313,800,500,635,502,502,282,282,500,68,500,800,649,500,649,503,503,968,500,501,504,282,103,500,742,500,502,993,16,503,500,500,800,500,300,649,800,503,501,502,503,282,352,649,500,500,501,649,649,503,501,753,500,763,501,503,800,500,503,501,502,649,649,649,500,799,503,501,649,678,102,649,649,503,503,139,800,649,800,503,502,501,958,16,16,800,800,649,282,649,500,502,282,500,500,501,282,800,800,900,503,501,282,502,502,503,502,501,649,503,807,182,649,649,728,649,11,16,500,503,501,503,705,800,502,501,439,500,503,800,501,887,282,503,502,503,800,800,500,649,500,805,500,500,503,500,800,649,501,649,282,501,800,502,502,800,16,501,500,501,501,850,649,16,501,502,16,501,503,800,501,800,107,649,649,504,501,501,501,16,500,940,503,502,16,502,500,282,285,426,800,502,914,649,503,800,502,502,503,500,502,500,800,800,501,800,16,649,501,282,503,633,773,649,800,649,502,503,503,503,503,503,800,503,192,649,502,500,500,800,501,16,800,503,16,282,500,649,502,16,501,322,649,500,500,245,502,649,502,282,503,501,503,386,502,649,500,500,502,107,503,503,500,282,502,514,282,800,800,501,800,503,503,503,500,282,605,800,501,502,502,282,504,16,500,503,800,649,501,501,501,503,500,501,16,103,649,501,502,82,503,996,883,501,502,500,500,502,800,503,502,800,502,282,800,503,501,503,800,198,800,504,800,800,501,502,500,500,800,502,502,501,503,503,503,504,503,649,649,601,282,282,503,501,530,649,500,501,503,528,502,260,16,328,649,9,500,16,502,282,800,503,501,501,648,16,107,649,500,115,107,800,800,500,649,693,282,501,503,500,572,800,800,800,503,500,502,800,502,649,649,503,503,501,282,649,649,649,504,501,501,322,800,282,800,502,902,503,502,800,500,343,758,800,503,649,504,649,501,400,649,649,503,325,501,800,282,500,649,649,502,649,502,501,502,282,500,830,503,502,500,502,282,649,501,503,800,649,800,503,502,800,547,503,16,501,469,800,573,591,16,500,431,500,282,500,500,800,501,500,502,341,800,503,501,500,282,500,800,501,800,800,500,504,503,502,500,500,502,501,502,501,503,501,800,500,264,503,503,649,282,934,502,265,504,800,502,500,16,282,856,503,500,16,936,800,501,502,800,500,500,649,107,500,649,500,502,444,500,503,800,501,500,649,503,282,649,503,503,503,501,500,500,502,500,800,501,502,276,107,500,800,611,503,156,501,502,503,503,654,501,503,16,282,649,500,501,828,800,503,800,503,282,503,502,649,503,502,479,503,576,502,282,649,649,282,649,649,649,800,103,501,502,702,189,500,649,649,500,500,502,326,503,501,800,690,502,502,500,501,502,282,867,800,500,500,503,282,800,503,282,503,500,503,184,504,503,800,282,502,501,502,287,500,740,649,158,503,649,649,800,500,649,503,649,800,501,282,503,800,500,501,16,800,649,501,500,800,503,107,502,503,858,500,501,500,16,502,649,867,471,649,502,502,649,502,500,502,649,649,501,475,649,501,783,800,501,649,233,11,503,502,502,501,504,649,501,501,961,502,800,649,500,500,503,349,649,800,282,258,800,503,502,502,500,502,649,649,503,16,16,70,500,282,721,501,446,502,503,800,16,649,501,519,503,800,16,800,649,382,503,503,202,320,649,501,282,282,282,503,800,282,503,500,503,501,502,649,16,500,107,501,282,500,524,16,285,500,800,502,502,706,502,16,800,503,649,503,308,501,800,134,800,649,501,649,503,500,503,500,503,282,502,502,649,500,502,501,500,649,502,282,504,649,800,501,500,501,649,500,501,501,800,800,282,100,800,502,800,674,885,16,503,282,503,500,649,800,800,800,502,282,500,800,501,625,503,649,800,502,501,501,800,649,847,951,500,589,503,500,501,502,282,800,502,500,282,500,502,502,282,16,649,800,502,787,649,351,875,649,502,500,112,800,503,502,843,503,500,800,282,501,501,500,649,109,577,500,501,103,500,649,500,800,500,16,501,800,282,503,282,501,31,804,501,800,16,501,800,500,500,103,649,503,282,800,800,500,503,503,503,800,517,649,649,502,502,503,501,502,978,501,502,465,282,500,503,501,503,501,502,16,16,503,509,800,501,649,107,503,502,282,282,502,800,395,503,26,318,502,501,504,500,337,16,649,800,502,500,503,800,500,226,319,282,420,500,800,503,500,502,502,282,502,503,800,282,138,501,502,800,649,800,747,502,649,649,438,503,503,500,500,282,501,500,500,16,502,500,500,188,411,501,282,282,503,664,16,800,503,282,649,503,502,271,501,16,800,16,503,500,501,800,103,501,282,500,501,282,479,502,800,502,649,649,508,503,803,649,800,501,800,282,503,504,500,500,649,504,501,800,957,504,110,16,501,500,503,28,649,800,898,503,649,649,282,503,503,503,886,503,502,500,502,500,501,502,501,317,500,272,504,500,503,504,281,800,500,501,885,3,614,800,649,500,502,500,649,500,501,500,501,421,16,501,649,649,647,504,502,503,800,649,501,501,800,800,500,800,649,800,503,500,503,502,800,649,500,800,649,500,502,503,282,16,282,501,500,500,918,649,604,502,807,500,503,628,501,649,500,500,501,16,501,503,501,501,503,500,503,649,54,800,500,602,459,501,500,704,649,500,107,503,503,649,649,16,649,501,649,501,503,800,501,282,503,649,501,16,141,502,500,503,503,502,500,16,649,502,500,500,258,501,800,501,502,498,241,16,800,662,502,524,500,500,501,500,27,501,282,500,502,649,12,501,500,16,282,504,503,800,37,500,649,800,503,649,502,800,122,502,501,501,501,395,800,649,502,649,501,649,503,420,503,503,451,500,501,800,502,282,503,282,800,649,504,245,16,503,500,503,16,503,502,502,500,503,16,501,107,500,501,800,502,502,502,649,500,501,16,800,649,103,649,512,501,502,595,504,649,649,282,500,16,500,800,800,500,800,501,800,501,282,502,229,16,500,504,649,16,16,502,649,503,800,500,500,503,501,282,649,502,502,649,16,502,501,500,502,800,649,500,649,649,502,502,502,503,500,501,649,350,649,221,800,649,282,800,500,913,800,282,469,461,503,501,500,502,502,504,500,806,504,501,649,16,502,503,502,649,649,501,649,503,800,500,373,500,502,800,649,800,500,617,728,500,503,649,800,500,500,501,502,800,872,800,800,22,800,282,800,501,334,826,800,800,501,649,501,502,649,800,501,205,503,503,800,649,255,503,501,502,503,500,458,500,502,959,503,649,649,502,9,800,649,500,282,500,502,79,649,503,501,503,502,502,501,503,282,182,649,43,800,282,503,800,72,800,649,107,500,503,502,500,502,649,800,503,500,649,649,581,282,800,800,502,595,800,545,649,282,649,500,800,503,501,501,800,502,500,649,800,392,503,502,500,282,367,649,876,502,500,500,629,800,503,784,944,649,800,748,544,800,800,502,800,502,16,282,500,500,503,500,800,501,503,800,649,282,315,800,500,282,868,649,503,500,502,503,800,501,26,503,500,465,503,649,73,500,503,800,205,800,502,800,502,705,503,501,500,501,649,649,649,501,501,501,800,501,271,503,502,500,649,853,500,501,500,649,217,503,733,800,800,649,800,987,503,503,500,800,502,503,16,16,649,504,502,503,501,766,299,502,501,772,503,503,503,503,504,500,503,500,107,501,502,671,503,16,800,636,282,649,800,800,500,501,502,282,501,263,649,114,38,502,833,503,282,945,500,500,282,409,500,92,162,941,502,503,649,503,503,800,649,47,282,500,800,500,502,800,800,501,501,503,282,502,649,800,649,416,500,763,67,501,500,501,503,502,800,624,502,502,503,502,500,800,649,500,800,502,282,800,112,500,501,916,503,282,500,649,503,459,800,800,893,501,127,502,649,800,501,502,649,800,401,503,501,500,501,503,649,504,502,282,649,501,800,502,173,503,16,501,501,500,649,16,503,502,502,800,503,800,800,500,502,503,649,844,501,649,165,501,800,504,649,500,503,532,502,800,502,501,411,502,16,657,295,952,160,501,503,16,16,501,500,504,501,502,16,16,500,501,800,649,282,502,649,502,16,502,502,502,500,500,649,502,500,503,501,800,500,501,282,16,800,980,500,500,649,282,502,560,503,103,504,800,500,649,824,503,282,504,800,501,501,500,649,536,800,800,502,649,800,649,500,500,282,500,862,501,501,471,680,501,649,800,800,282,649,282,502,500,649,503,501,501,500,501,501,649,488,649,502,503,800,504,649,103,800,649,314,800,502,800,649,502,554,504,595,800,649,800,800,501,503,494,502,501,222,368,282,502,500,501,282,649,501,649,502,649,503,800,502,483,503,503,503,503,504,649,500,500,841,501,503,501,503,502,649,705,800,502,500,974,282,502,34,503,282,503,502,649,503,69,649,500,500,649,502,800,503,500,107,500,502,800,282,501,501,502,500,501,503,503,282,800,800,416,800,500,282,500,500,16,649,500,502,800,500,502,502,649,502,503,800,649,502,501,500,867,166,500,502,503,800,103,500,500,503,649,800,649,502,912,800,800,502,500,800,503,501,502,282,500,503,503,649,503,282,16,503,282,503,557,282,282,500,502,501,501,649,500,800,503,504,500,649,503,800,649,985,282,800,501,649,503,502,504,800,501,503,502,840,649,800,800,501,282,500,800,501,649,501,649,800,649,501,503,500,500,501,503,831,800,503,503,16,501,500,282,500,71,282,712,16,649,69,266,649,501,502,800,503,16,653,501,503,501,502,503,500,501,282,503,649,503,970,500,641,649,649,500,414,649,649,501,502,502,800,649,649,501,500,502,503,501,500,503,503,502,503,502,649,704,500,282,501,501,649,800,800,502,649,504,16,800,18,800,649,502,649,501,502,502,502,244,800,504,800,501,502,800,800,800,649,503,501,501,501,501,649,282,800,502,503,804,953,705,44,800,800,103,500,503,16,649,256,500,649,103,800,800,649,503,503,502,16,501,649,232,501,649,500,503,503,503,16,800,503,502,503,649,502,503,649,500,16,800,649,502,502,649,800,502,500,504,500,282,503,503,282,502,115,800,502,503,649,649,531,649,503,649,503,501,501,503,500,800,221,503,462,649,502,503,809,800,501,289,800,282,502,16,503,501,501,306,282,500,800,800,503,600,502,16,500,282,501,500,502,500,800,502,898,649,500,282,800,800,649,503,500,504,282,649,800,503,501,100,649,282,501,500,649,500,500,649,282,504,500,649,501,501,800,800,282,649,503,859,649,503,502,503,719,282,16,501,583,506,800,800,733,502,502,282,800,16,800,503,501,649,500,503,671,503,649,502,501,800,500,924,502,502,649,501,800,103,649,503,555,396,502,649,282,492,800,500,503,649,16,282,503,649,500,649,649,503,502,322,504,501,649,503,502,501,500,503,500,503,907,503,765,800,623,103,501,16,500,500,282,501,500,649,500,501,649,649,800,282,502,500,649,500,500,649,649,282,649,503,503,282,282,501,800,282,800,503,649,502,503,502,501,800,502,504,501,800,16,800,649,500,501,800,503,500,500,500,649,500,503,282,800,305,282,410,501,502,649,649,503,55,649,139,800,800,800,501,507,503,800,649,500,103,800,282,501,649,502,800,282,501,800,649,503,502,649,800,500,502,504,137,501,69,501,503,500,500,800,282,649,502,501,502,500,649,503,502,800,500,501,478,348,695,500,282,649,100,277,502,503,649,649,503,502,503,503,502,705,503,440,500,501,800,649,800,800,502,475,501,503,503,502,800,482,800,503,504,800,475,800,649,324,800,502,800,649,800,501,103,649,649,214,318,649,502,503,503,503,282,503,502,800,282,800,501,314,649,502,319,16,503,500,503,800,257,84,666,502,16,502,76,501,800,800,502,503,242,500,502,502,502,649,120,502,833,16,501,800,800,500,282,470,649,800,500,502,649,806,282,503,649,501,502,800,502,728,502,107,502,502,500,649,649,502,16,503,759,500,236,800,501,500,669,503,678,502,500,502,502,702,649,649,503,501,500,16,500,500,502,800,501,502,649,282,502,917,649,500,282,500,503,649,800,503,503,800,986,282,500,801,529,500,503,501,502,649,800,500,800,500,649,16,800,333,103,649,502,500,276,649,282,502,649,282,800,500,502,503,500,501,800,503,649,502,501,649,814,500,800,35,500,500,502,800,501,502,493,800,649,503,501,439,500,649,502,502,502,502,800,967,501,16,500,500,500,649,501,410,501,503,649,503,649,503,500,500,649,501,619,372,502,556,602,501,892,282,502,502,502,649,504,16,501,501,359,649,16,503,503,711,800,800,503,503,649,282,500,282,282,967,500,503,500,500,501,236,649,282,649,282,16,502,503,649,649,502,503,649,649,501,825,103,705,502,490,800,605,503,800,501,282,503,503,800,649,502,501,800,649,649,352,501,501,500,501,282,282,300,501,502,800,500,282,649,800,385,500,501,800,282,649,502,502,800,800,502,500,503,503,16,649,500,502,537,800,730,503,649,500,501,501,502,800,500,502,503,800,500,800,501,503,649,501,500,729,800,501,649,282,500,16,501,501,503,500,649,800,800,800,779,17,504,500,16,129,502,501,503,52,502,16,500,800,800,502,503,501,503,800,649,502,385,788,503,800,282,502,502,500,502,503,503,502,500,503,282,745,649,502,800,107,500,501,282,657,502,501,502,282,502,501,649,721,500,502,502,500,502,815,282,800,800,500,500,107,282,16,501,649,500,800,649,383,79,800,800,282,503,107,854,500,503,504,501,16,503,503,504,501,530,800,501,665,16,500,800,800,503,800,728,503,800,501,800,503,800,501,503,501,502,800,282,502,500,282,282,110,649,502,585,649,800,502,503,649,282,16,502,503,501,433,500,16,502,649,503,705,503,503,503,107,501,501,503,649,501,503,649,502,403,502,503,500,500,501,282,534,503,800,122,503,282,282,500,282,500,501,649,504,502,473,503,241,502,503,649,503,502,649,649,187,800,503,501,800,502,294,503,502,800,503,502,649,503,501,800,503,501,720,501,455,502,282,502,500,501,500,502,282,502,500,503,800,341,800,993,927,502,502,649,501,649,282,503,649,501,503,568,800,649,503,17,649,503,649,500,503,649,500,502,502,285,985,502,504,500,500,502,800,823,282,282,917,503,503,501,660,800,326,500,502,800,30,649,501,282,504,800,503,500,500,800,649,649,501,501,501,503,501,503,16,503,502,658,800,800,502,502,503,501,649,282,500,500,746,500,282,501,502,282,501,649,649,800,800,764,23,282,501,502,502,144,16,502,887,502,649,649,649,503,649,282,107,503,502,500,649,500,504,649,502,501,501,684,705,501,85,501,800,478,282,504,503,501,504,502,394,500,809,800,800,649,503,503,500,500,178,967,16,501,503,649,501,282,501,502,500,649,800,800,649,501,282,501,502,500,478,501,649,504,500,800,282,500,16,649,504,500,647,800,649,800,503,16,502,800,500,800,731,503,502,800,500,554,500,407,500,502,502,500,503,800,912,502,500,800,503,477,800,502,282,501,800,282,502,500,500,500,282,649,713,649,501,16,282,800,502,696,194,503,644,543,649,503,502,649,503,503,500,500,500,805,502,961,107,800,500,501,504,649,800,586,800,500,649,503,800,800,500,502,800,504,503,500,502,504,501,500,16,502,800,500,503,800,501,649,649,501,503,500,414,500,502,502,501,503,800,500,954,502,503,501,800,503,649,649,501,380,502,503,503,107,16,603,263,503,800,236,699,696,282,500,501,649,103,882,800,800,501,649,800,501,800,293,800,16,282,503,502,16,502,500,502,503,649,282,800,282,501,649,800,502,800,501,800,500,503,502,800,500,501,649,974,500,683,501,800,503,500,649,501,500,862,501,282,501,503,501,649,562,800,800,649,649,541,500,503,649,503,501,800,502,11,282,649,649,500,16,503,500,502,501,649,501,556,500,800,649,800,800,502,211,501,500,500,504,649,502,503,761,502,510,179,800,282,668,800,649,504,503,504,800,500,800,501,502,502,800,502,500,790,800,500,503,800,501,503,500,500,800,555,500,504,501,282,103,800,501,503,502,503,800,503,649,649,504,503,501,502,649,503,502,502,800,694,16,109,16,800,983,503,405,16,282,503,500,501,649,501,282,649,500,800,500,500,312,800,114,62,800,107,503,649,501,503,800,382,162,502,800,282,502,502,502,16,501,800,500,500,631,502,800,502,800,501,502,800,800,501,147,575,649,282,649,503,500,500,502,502,501,800,500,502,502,800,500,963,502,500,502,282,649,500,501,501,502,649,525,800,502,501,501,500,503,649,649,453,282,503,502,282,68,502,282,503,503,800,502,500,500,502,502,800,800,502,502,282,502,501,500,503,193,503,800,991,501,500,502,800,649,501,503,501,502,800,500,282,500,800,501,502,318,282,16,500,502,282,500,103,282,502,500,649,705,16,181,707,649,502,800,649,649,800,503,503,800,501,230,500,500,649,501,503,800,501,282,502,503,16,502,502,501,649,282,503,504,502,502,500,649,566,500,800,502,503,800,649,649,800,503,500,503,501,66,504,501,503,501,503,800,649,800,16,501,649,800,503,503,502,649,503,800,503,600,649,502,501,503,291,500,56,503,503,282,16,502,649,282,502,649,502,356,502,600,501,500,501,501,503,649,800,501,500,501,800,282,502,501,500,97,649,504,649,503,501,503,503,501,501,502,16,502,649,500,800,800,502,649,413,435,16,503,501,502,649,503,502,502,502,501,282,800,649,282,502,16,649,209,500,500,502,282,500,649,282,502,649,503,800,503,963,501,502,800,503,282,502,501,16,282,35,502,500,800,649,621,648,98,501,282,501,756,800,501,649,172,503,503,649,500,718,516,503,649,502,42,146,486,502,16,577,282,782,282,501,245,503,282,501,501,16,502,800,649,944,800,501,103,503,503,501,800,282,16,501,649,503,501,649,282,503,800,16,502,800,502,501,649,502,859,800,502,282,500,503,800,800,850,501,429,501,16,599,502,503,503,502,504,47,500,500,938,800,649,800,800,800,282,282,500,800,649,500,713,16,501,800,501,16,546,503,502,649,16,800,16,800,649,502,282,501,16,501,500,501,800,860,649,501,502,502,649,500,649,800,500,503,649,500,501,800,501,502,800,282,501,502,800,503,649,503,104,500,500,501,500,16,502,649,503,502,484,800,689,502,155,835,282,504,501,501,503,649,800,503,501,800,502,800,503,649,502,502,503,800,649,501,501,649,800,501,503,502,825,503,107,800,502,958,500,649,282,500,503,500,649,800,502,800,16,112,282,282,500,649,800,649,649,503,502,500,500,500,282,16,501,503,503,502,501,502,800,500,209,500,800,503,16,649,502,282,377,503,501,282,503,788,503,800,755,500,800,649,800,502,939,807,649,649,394,282,501,501,276,502,503,800,501,502,391,649,501,698,800,649,800,359,800,800,503,502,500,649,800,282,503,649,800,501,503,503,501,800,554,142,320,800,16,800,503,649,500,502,502,500,500,502,502,502,649,649,501,800,502,501,800,800,501,800,131,500,107,392,800,500,502,744,649,10,500,501,502,500,503,649,500,428,830,500,502,283,16,649,166,502,500,503,503,800,504,800,503,501,500,800,282,500,649,501,501,501,800,16,503,503,502,501,649,503,501,501,16,16,776,649,503,624,501,800,500,103,110,501,504,501,501,304,649,282,502,817,16,282,501,800,800,502,649,502,649,502,501,500,800,503,649,800,503,500,503,500,503,502,500,503,282,503,800,649,800,503,503,503,649,501,504,649,925,501,282,649,501,503,649,769,800,501,500,504,504,705,501,649,800,500,501,886,44,107,814,500,501,500,16,503,800,649,502,705,501,610,503,16,649,919,282,339,291,800,503,107,500,500,16,429,649,501,16,502,500,649,502,503,330,649,880,501,501,501,501,503,504,500,503,500,649,282,800,282,800,913,837,503,800,380,502,92,502,800,500,566,503,800,503,501,503,501,649,503,500,16,500,501,503,503,649,16,800,503,649,500,501,500,649,502,501,649,176,503,800,501,503,500,502,649,785,649,503,203,500,800,501,350,649,800,501,503,282,501,649,800,501,502,800,503,503,53,503,245,502,501,800,649,800,504,502,649,502,649,501,501,500,800,649,502,649,501,503,596,500,282,501,500,502,501,649,500,649,501,649,503,501,501,502,800,282,800,500,500,502,16,502,502,503,503,503,649,503,6,44,501,800,953,620,502,501,282,500,332,649,649,501,502,502,502,800,502,649,501,282,501,502,143,501,282,502,16,503,800,254,503,800,816,500,504,649,501,500,359,503,500,649,503,637,800,649,800,16,792,649,649,502,649,649,800,503,800,800,800,501,500,198,502,246,814,502,103,503,503,502,502,501,503,705,500,800,503,709,503,282,502,500,649,500,501,502,282,500,649,649,282,800,866,649,500,649,502,282,503,862,716,649,800,649,689,503,649,648,649,500,502,503,502,502,500,290,800,501,649,500,503,502,503,800,800,153,500,16,649,500,649,500,800,501,501,800,800,843,800,502,649,649,503,800,649,875,759,500,800,502,800,512,62,501,649,649,282,501,501,482,501,500,502,503,500,501,501,973,649,500,502,502,503,503,693,649,649,649,500,107,502,501,107,503,649,282,501,502,501,501,374,76,502,649,500,500,282,649,649,649,246,502,649,800,649,107,800,500,501,502,266,282,497,502,800,503,503,649,501,800,502,282,282,836,282,282,500,649,500,649,649,326,501,16,282,500,649,800,945,502,649,503,503,500,501,503,800,500,503,282,501,21,282,502,500,649,502,503,282,503,501,501,649,800,500,649,800,649,501,282,282,16,551,649,16,170,649,500,615,107,16,649,502,500,500,502,502,800,503,442,649,18,642,504,503,545,502,649,800,107,831,504,16,502,649,501,800,501,503,649,500,500,502,107,503,502,649,800,504,16,500,893,800,504,500,501,800,503,500,649,800,741,501,500,500,268,649,649,502,501,503,800,16,649,960,502,501,502,282,447,103,107,502,161,501,503,649,800,503,501,500,282,503,800,500,502,800,649,282,503,500,599,502,213,279,502,500,800,420,503,800,501,503,649,501,800,282,107,493,705,800,649,282,800,144,800,502,649,649,503,16,501,800,434,838,502,737,500,282,501,501,503,652,501,40,797,503,502,870,502,676,649,649,649,103,282,501,649,800,500,169,649,649,800,731,502,500,502,800,649,502,503,649,501,800,619,500,501,503,503,903,503,800,501,501,500,282,800,504,503,16,936,501,500,800,501,503,504,501,341,103,501,16,501,282,502,503,502,501,500,854,991,503,227,282,502,501,503,502,501,649,919,649,502,967,995,501,282,502,16,16,500,503,649,549,929,503,501,503,503,500,282,501,16,500,800,501,500,649,282,800,800,503,107,649,800,502,649,16,502,502,503,649,800,417,932,500,311,800,503,502,649,500,502,503,503,800,800,16,714,482,800,777,800,502,503,502,282,501,500,655,649,800,800,500,800,800,501,501,503,500,266,800,503,504,282,649,800,502,16,428,17,839,503,500,159,918,503,800,800,500,649,503,503,103,503,649,500,501,501,800,500,649,800,282,552,502,500,60,16,649,282,649,503,282,502,282,502,649,500,502,500,649,649,282,503,800,800,282,649,501,500,501,503,502,501,503,500,503,931,503,800,649,800,649,649,502,502,503,500,501,649,503,501,500,282,501,501,282,502,502,767,501,649,929,362,500,282,502,501,517,503,562,649,503,503,502,723,500,16,500,503,800,501,501,649,644,159,502,649,800,649,503,612,16,649,500,503,501,501,501,504,503,134,869,503,649,502,282,649,603,504,800,502,800,500,500,504,501,500,503,501,649,500,649,649,514,501,800,649,501,649,503,503,800,501,501,282,500,503,502,440,649,282,501,503,501,649,503,282,503,800,282,501,649,649,500,675,800,649,282,504,503,649,800,234,500,500,503,500,501,848,561,502,500,503,649,325,504,503,16,503,501,800,501,282,500,500,282,501,143,16,502,500,16,678,502,282,649,352,282,502,500,670,649,800,25,501,282,500,503,503,502,649,501,807,500,501,282,501,800,501,503,501,445,649,502,800,649,16,500,502,501,500,800,500,501,500,503,501,503,500,16,504,503,107,502,510,502,282,500,649,502,500,501,502,504,649,501,16,324,800,973,649,10,500,800,16,500,649,800,649,501,500,282,649,920,849,502,649,649,649,503,503,800,502,800,500,649,503,800,16,502,502,503,649,501,501,649,503,449,649,649,800,800,649,900,800,800,800,236,527,501,282,500,800,16,744,16,408,501,800,282,649,502,501,800,500,649,107,503,503,709,19,501,501,503,501,958,500,282,500,501,501,501,500,649,504,800,500,800,503,800,282,107,501,649,502,649,500,504,473,173,341,501,800,800,501,800,649,500,863,282,503,387,705,107,501,174,503,649,649,500,500,16,314,503,282,649,501,502,502,107,16,282,501,502,503,649,500,647,282,502,649,649,800,501,501,502,649,502,649,501,500,500,33,649,800,800,502,501,649,649,975,42,502,282,800,251,500,501,503,725,317,502,503,16,282,503,119,588,500,649,502,800,502,649,337,800,500,952,800,649,930,504,501,501,503,501,503,649,503,800,800,504,502,500,503,502,800,800,500,649,800,500,800,649,504,649,500,502,328,503,282,501,649,282,800,500,800,502,649,800,260,894,502,502,500,502,500,456,649,501,800,387,649,504,649,450,800,504,504,798,800,683,500,503,503,500,500,500,678,800,502,503,800,16,502,500,503,503,648,649,502,146,503,503,800,649,503,800,502,649,649,800,501,502,800,502,649,800,501,500,128,400,649,800,502,501,800,87,649,800,503,502,502,502,502,273,718,800,974,800,501,701,800,800,309,649,801,500,501,502,500,800,800,502,800,501,649,502,500,500,291,500,649,800,774,503,503,282,649,649,84,503,682,282,800,282,16,503,503,500,800,500,503,649,184,649,282,503,800,282,773,501,16,649,502,404,282,503,816,800,503,282,504,475,282,502,800,800,503,282,500,282,18,501,649,107,800,649,500,334,282,500,282,649,500,282,500,501,502,800,16,649,692,500,18,500,500,504,16,503,282,496,649,500,500,222,135,500,649,502,500,649,501,502,504,841,502,800,502,502,500,501,503,500,501,649,282,503,649,500,800,503,501,503,800,800,503,503,649,500,500,503,500,500,500,649,502,800,649,502,501,501,501,501,902,500,641,649,503,800,843,649,503,327,649,800,979,503,502,500,501,502,500,30,107,502,500,800,501,210,503,833,501,500,649,774,502,227,800,881,500,502,282,500,282,502,502,503,502,282,501,692,800,503,649,501,4,503,282,649,503,500,800,68,107,502,500,503,503,800,503,87,501,504,800,282,504,469,649,944,853,502,503,503,649,500,500,500,282,500,503,501,800,501,503,649,217,501,847,502,502,503,800,500,201,800,501,756,502,500,504,502,500,500,798,279,501,500,502,649,501,649,16,500,502,451,500,501,500,408,269,503,282,501,500,500,501,800,502,502,502,501,500,649,39,501,784,259,649,501,501,503,501,502,503,16,800,501,649,501,500,501,502,282,453,800,649,503,501,501,649,358,502,649,800,501,503,649,501,503,501,502,503,35,23,107,503,503,649,501,503,16,502,800,139,502,503,501,800,16,503,107,800,501,500,502,649,502,503,701,502,502,282,501,800,503,501,800,649,800,800,500,800,649,500,500,800,649,502,982,502,502,502,500,502,800,282,500,16,501,503,500,800,649,501,800,500,800,503,502,649,503,504,282,800,501,190,606,107,649,83,501,821,800,502,265,500,501,649,649,649,800,282,16,502,282,502,503,800,502,500,800,501,867,649,282,500,800,501,649,674,502,800,500,502,649,501,504,500,502,501,501,501,500,501,649,502,503,883,502,649,500,649,107,501,800,502,503,800,503,800,800,453,107,284,800,34,800,649,600,282,501,501,501,504,501,502,501,649,282,16,649,500,16,208,503,502,649,649,797,501,500,501,649,680,800,649,501,817,501,649,501,282,503,107,502,838,502,649,800,649,504,502,502,501,500,501,649,619,500,503,503,502,503,500,245,504,500,501,501,502,727,282,500,649,502,800,475,500,502,501,503,510,502,503,501,500,501,103,800,501,501,755,491,501,800,500,360,503,502,85,502,123,800,800,800,800,502,502,181,278,501,16,500,800,502,502,500,649,500,16,500,502,501,649,649,501,503,643,500,640,649,649,649,500,501,282,800,500,500,503,16,504,501,800,502,270,800,500,503,649,501,804,502,122,649,500,502,800,501,500,503,500,500,282,649,500,649,800,827,800,502,502,502,501,500,501,107,705,503,649,800,800,503,501,501,502,282,649,500,282,282,502,649,503,501,503,800,800,282,649,649,502,800,800,16,504,649,501,502,282,800,800,503,508,800,103,800,500,800,500,800,503,800,16,282,649,500,503,282,500,501,503,500,501,145,800,500,502,500,503,16,502,649,282,503,502,503,800,501,502,649,503,503,503,502,800,502,503,240,502,800,502,500,637,797,501,649,800,649,500,282,531,501,500,16,503,500,501,16,649,282,649,502,502,564,282,282,800,649,649,501,649,800,16,500,174,282,503,280,379,397,749,800,282,50,800,649,800,500,503,501,649,549,500,501,502,501,800,502,502,501,16,80,503,800,649,852,450,987,800,503,500,501,282,282,649,502,500,493,503,503,16,501,649,800,503,502,503,16,800,800,503,503,501,503,649,649,282,501,800,649,502,501,649,705,500,503,503,263,649,501,502,800,500,502,501,800,503,649,668,502,649,502,501,501,800,649,502,502,800,800,800,502,649,800,501,502,503,649,649,501,503,59,502,501,503,501,503,501,649,502,500,504,501,501,500,649,477,503,502,503,501,500,502,503,582,503,649,649,649,282,503,862,800,501,502,502,502,234,13,504,502,649,500,800,156,800,501,501,800,114,501,446,500,282,500,649,503,500,282,649,502,500,501,649,949,500,718,800,800,282,503,503,502,640,649,800,503,800,800,501,649,500,502,800,107,503,649,500,503,984,993,503,503,800,282,107,502,502,500,355,649,501,502,282,500,800,22,500,502,282,282,503,500,501,500,800,503,800,569,800,800,501,800,649,649,504,282,32,800,501,502,105,800,502,500,492,503,800,501,103,657,16,282,500,501,942,502,800,501,500,649,968,503,800,282,501,503,800,649,649,500,502,500,500,282,501,500,500,800,16,503,800,282,502,282,263,649,800,434,649,503,502,503,800,800,502,501,501,504,500,503,501,991,502,502,800,500,503,649,283,649,217,800,502,800,649,800,500,649,501,807,503,107,649,500,384,502,501,503,649,649,501,649,649,800,54,501,282,800,649,800,800,501,500,500,282,282,504,282,282,500,503,502,501,800,649,82,501,500,501,500,500,501,122,504,16,503,800,504,16,503,502,500,800,500,501,501,649,500,500,282,521,282,800,502,500,45,503,500,16,500,500,88,502,502,501,775,502,502,649,649,500,501,503,502,282,500,649,501,800,500,659,16,503,503,649,503,649,503,649,502,503,502,502,649,503,502,270,649,800,502,800,502,649,402,502,503,649,800,500,502,649,16,649,441,502,500,502,501,649,800,800,800,502,800,500,501,649,501,502,502,503,503,503,502,503,500,501,649,502,503,596,341,502,125,502,662,500,500,503,394,800,16,500,500,800,502,503,649,680,649,500,282,500,500,282,800,800,800,501,503,82,545,800,502,649,341,800,800,500,502,425,502,503,795,502,503,581,649,500,475,502,649,257,504,501,649,800,649,649,500,500,501,503,501,383,500,800,649,475,502,503,800,502,501,190,282,503,503,649,503,502,800,501,16,649,282,500,503,649,551,500,800,800,501,501,282,504,502,649,504,282,282,501,500,649,282,649,503,649,500,282,503,500,502,800,800,500,502,501,503,502,649,503,800,502,412,500,500,504,705,501,311,421,368,500,501,107,501,500,502,502,503,501,502,16,503,502,502,503,282,501,502,500,502,500,800,649,649,282,28,800,501,273,649,86,597,502,627,503,649,504,800,649,800,16,503,800,800,282,800,143,503,800,800,501,502,501,953,649,800,503,800,730,503,808,502,103,649,500,282,503,107,500,649,501,16,500,502,800,503,184,503,503,501,800,500,282,504,503,501,502,500,282,504,503,282,527,501,282,500,503,500,503,501,504,500,838,250,501,501,282,649,800,800,501,503,800,501,502,649,913,807,800,800,501,503,407,649,282,503,501,800,649,649,649,503,500,503,500,501,502,282,500,504,757,500,800,800,503,502,649,502,502,649,649,501,501,16,156,800,16,638,503,503,800,502,502,800,16,500,501,502,500,649,649,502,504,649,800,800,791,504,503,502,649,742,800,649,649,503,409,649,649,502,501,282,160,503,649,800,649,759,501,500,502,908,16,501,500,501,160,800,502,627,500,502,282,800,503,500,800,502,282,501,502,800,649,800,16,282,501,282,649,716,800,311,502,243,282,800,649,800,503,800,800,502,501,552,502,500,501,501,502,649,503,500,282,800,503,501,502,502,649,501,16,500,502,503,123,501,649,800,501,501,501,503,282,800,503,282,502,800,503,500,800,535,502,282,503,800,500,649,649,500,649,649,502,501,502,502,500,501,500,232,502,500,649,800,553,649,500,500,800,502,885,501,500,501,800,500,107,282,800,502,502,502,503,16,282,501,500,107,649,116,800,725,800,500,800,107,480,282,800,800,502,16,524,16,500,649,649,649,500,503,501,501,500,500,107,49,504,107,503,501,649,500,502,800,649,16,502,649,502,503,282,501,502,75,649,427,500,103,649,503,503,502,282,503,972,16,800,649,502,502,800,800,503,502,500,502,16,16,800,366,500,503,504,800,528,649,501,826,649,501,501,500,800,800,502,500,800,500,503,501,501,502,16,502,282,503,502,986,502,323,900,500,103,501,501,800,800,649,16,16,503,800,500,503,503,764,502,500,282,503,501,503,500,800,800,282,649,649,800,503,503,649,501,502,503,282,649,649,800,501,800,800,502,501,800,649,649,282,464,503,503,800,503,800,502,500,503,503,503,800,503,769,503,503,500,649,502,800,800,103,501,503,502,500,800,126,503,500,503,649,649,649,649,649,501,800,503,502,800,503,649,846,503,16,501,503,500,503,503,649,136,503,501,501,649,502,500,16,503,503,500,500,501,503,649,501,800,500,800,649,800,501,800,800,503,501,649,503,393,503,502,606,107,143,649,16,503,335,800,503,649,502,500,502,800,501,501,16,401,800,502,282,501,800,800,500,173,649,399,502,649,503,504,476,986,649,800,649,500,800,500,649,503,483,800,793,502,501,839,800,501,26,501,501,649,800,649,502,862,107,16,500,649,503,503,500,282,800,500,503,503,649,500,501,515,501,649,503,502,800,649,503,500,649,282,500,503,502,500,501,502,501,16,503,503,918,500,501,503,192,649,503,500,500,504,282,16,425,800,744,649,872,649,501,16,800,282,500,494,649,501,501,649,503,800,800,500,503,282,800,800,649,29,502,500,503,502,501,500,502,501,501,247,502,500,503,649,502,362,502,503,978,503,502,503,649,500,502,404,649,503,107,503,503,800,501,800,500,501,504,500,537,16,502,437,649,501,500,649,282,503,800,800,503,204,800,715,692,692,500,500,800,800,282,780,649,503,501,800,800,338,502,552,282,800,649,502,504,282,501,504,503,649,503,502,282,500,16,502,500,501,501,501,24,38,416,943,128,503,107,500,504,504,459,503,448,774,502,800,134,500,282,500,500,503,500,503,800,501,649,282,922,503,685,500,502,158,649,501,503,501,800,107,502,479,501,500,503,800,649,502,282,723,502,501,503,800,592,500,503,800,501,500,16,16,501,649,800,107,649,800,500,501,503,282,500,800,649,502,282,500,16,501,116,282,649,500,16,649,649,500,649,282,282,503,500,649,501,800,500,282,649,503,500,16,11,501,841,502,800,538,282,800,800,502,982,503,649,500,502,649,501,503,503,649,800,563,253,500,649,612,501,800,16,800,504,800,503,501,107,282,502,107,501,429,501,155,502,800,800,282,107,501,282,503,500,500,503,282,649,800,502,502,503,800,504,649,282,983,649,10,16,649,502,800,504,16,800,503,649,503,502,649,500,502,800,500,504,500,374,501,500,649,649,16,800,500,502,503,503,501,107,500,503,500,103,501,933,500,800,501,649,503,103,500,500,501,503,502,502,282,502,501,14,764,504,500,501,800,502,16,502,500,69,649,501,800,649,503,502,632,282,282,649,501,500,501,502,501,807,502,501,500,512,800,152,649,16,503,649,649,649,16,502,800,649,16,501,500,649,847,800,500,800,800,800,502,800,503,503,649,500,502,51,500,503,370,800,179,501,502,502,800,502,16,646,282,789,503,500,800,800,649,502,649,649,800,800,500,800,504,800,503,560,501,503,649,649,107,16,107,800,500,503,500,282,501,503,501,800,649,501,649,859,800,800,868,503,502,800,800,503,649,503,501,649,501,504,16,800,501,348,502,301,500,800,501,503,502,800,501,503,503,503,649,800,800,649,501,649,503,884,503,800,503,500,504,649,16,503,649,649,500,500,503,500,851,502,504,16,500,502,436,502,503,500,3,502,103,649,649,800,500,503,107,649,800,502,800,649,617,501,503,503,500,500,800,502,501,503,800,500,649,503,502,465,800,500,800,502,649,800,501,502,649,500,649,649,649,800,649,282,500,500,501,503,502,445,800,282,16,500,501,500,500,800,649,502,502,113,649,501,500,500,649,800,503,649,501,16,500,502,282,500,503,503,649,103,800,649,800,649,815,649,649,866,649,649,537,649,503,649,649,502,503,282,500,800,645,649,16,790,500,800,503,503,500,649,16,800,500,573,502,800,800,800,501,800,503,500,800,500,503,969,502,282,501,16,503,502,500,501,500,502,501,649,503,501,649,800,501,66,500,103,503,800,800,649,500,282,500,649,649,500,502,800,500,501,549,500,16,500,501,501,649,649,502,649,502,500,800,282,16,42,800,282,502,282,503,282,503,649,649,500,502,114,503,503,282,502,282,282,502,501,501,501,502,282,503,649,649,649,500,282,800,187,502,502,119,649,649,502,649,649,649,501,800,282,502,503,501,729,800,503,502,502,502,502,649,500,502,500,500,800,503,904,282,502,503,503,501,502,501,759,502,649,502,800,338,800,500,502,649,800,501,705,501,503,502,16,501,503,649,282,800,800,503,16,500,707,500,500,503,800,501,800,107,501,503,649,504,502,818,502,593,501,502,501,502,649,501,800,649,501,16,502,800,501,503,16,152,503,502,107,504,800,909,503,500,800,500,800,598,501,502,490,502,800,282,800,503,501,383,800,800,502,282,107,649,947,501,103,503,800,649,282,649,107,649,502,501,146,502,503,502,800,649,500,850,110,501,501,282,982,501,501,502,649,500,649,501,501,502,502,502,800,501,502,502,649,501,502,800,501,800,500,800,501,501,501,500,503,500,577,503,504,800,577,807,649,649,501,502,500,602,649,501,800,649,800,649,800,436,501,282,503,649,282,500,501,16,282,649,645,800,800,503,282,282,502,500,533,502,801,278,500,649,649,800,502,16,282,500,501,649,312,501,800,649,501,501,501,502,282,500,930,800,851,503,500,503,501,65,282,502,500,501,500,501,16,800,502,800,800,501,84,500,365,649,16,800,503,503,500,800,503,800,649,800,502,800,504,501,501,649,571,502,800,16,504,501,800,800,501,500,282,503,649,503,649,648,282,282,500,501,502,503,800,501,649,501,503,500,800,649,500,649,501,16,503,500,501,503,501,502,501,16,503,502,501,182,500,501,282,500,501,684,649,282,500,559,103,501,282,282,504,481,16,16,16,800,382,500,503,500,500,649,649,502,16,649,282,503,503,503,649,829,649,649,500,649,501,282,649,77,982,502,282,502,502,502,501,649,602,501,649,800,501,503,800,649,649,316,800,800,800,678,649,800,501,800,282,800,282,16,282,649,503,502,164,800,800,500,16,500,500,501,649,649,500,282,800,502,649,502,800,503,503,800,503,504,502,626,800,500,502,649,501,503,282,800,501,16,500,800,501,503,800,501,500,503,649,800,502,649,501,501,649,800,501,501,501,501,501,502,800,501,500,504,502,503,178,649,502,800,649,800,501,473,282,16,500,843,282,301,800,800,57,501,502,282,727,503,882,649,800,502,504,501,502,282,502,501,502,649,784,504,501,500,649,107,649,500,501,503,503,107,500,502,16,503,501,502,976,503,757,282,851,500,800,800,501,886,511,100,800,282,800,502,502,800,282,430,503,175,501,502,503,649,503,16,500,800,501,337,282,503,503,501,282,649,500,735,844,16,213,800,800,800,993,501,504,502,501,502,503,502,649,501,502,501,502,501,500,504,800,800,500,501,502,649,649,800,282,503,503,500,501,107,502,282,649,500,502,503,501,502,502,16,649,502,503,503,500,500,844,501,503,800,649,504,991,800,649,649,282,16,503,503,800,486,501,500,649,501,800,502,649,282,503,800,503,503,504,649,168,503,649,800,398,103,500,500,944,649,503,242,282,800,504,501,503,809,800,16,500,800,503,501,649,800,500,501,717,501,282,503,503,501,16,649,667,472,800,501,163,503,500,282,107,282,501,800,649,899,800,500,502,640,800,503,649,500,503,800,800,800,502,306,504,942,500,503,501,800,500,500,635,800,649,214,800,501,500,544,800,800,824,282,655,984,501,502,800,501,500,282,501,288,502,501,729,800,501,800,501,501,282,311,107,501,500,16,800,103,500,503,503,500,500,501,800,800,502,800,502,503,800,649,503,500,107,488,504,282,502,147,502,503,800,503,800,282,500,502,649,475,501,502,500,502,643,500,501,649,503,503,501,501,502,502,94,649,649,800,649,282,107,501,649,501,500,800,500,386,501,504,500,501,800,502,16,500,500,501,503,279,649,500,502,500,503,501,800,16,649,649,649,502,502,500,501,480,800,888,649,649,500,501,501,800,501,282,501,500,649,654,502,501,800,649,294,500,501,502,503,800,107,500,649,501,204,502,500,282,503,500,800,282,497,436,502,503,503,16,503,501,501,501,502,504,503,282,282,501,503,500,800,502,649,502,882,502,501,502,501,503,500,800,616,649,500,500,503,501,800,503,800,503,501,500,501,501,500,800,501,502,503,504,649,649,649,500,214,800,282,16,282,800,503,501,563,807,500,746,800,800,503,501,501,503,987,800,501,16,282,503,107,502,649,501,649,649,800,807,504,65,107,503,141,800,500,504,502,501,16,800,502,501,501,743,501,2,282,502,649,800,502,718,398,800,500,800,800,500,649,282,16,100,502,649,651,800,500,649,503,800,201,282,489,502,605,649,993,500,107,769,502,850,282,649,800,502,649,800,501,500,387,500,289,800,500,800,500,503,503,500,501,503,503,800,500,503,669,500,800,800,800,500,501,502,502,282,282,500,500,500,121,502,501,395,100,282,649,800,502,501,840,800,649,501,649,800,781,503,501,800,501,107,649,800,502,501,649,649,282,501,502,587,503,101,224,649,649,687,503,502,503,649,500,502,503,871,800,503,500,503,16,502,372,800,500,107,800,649,649,800,282,500,502,649,502,502,502,236,503,649,503,502,500,502,501,525,500,502,503,504,500,649,649,514,649,884,503,503,800,585,502,502,502,500,649,800,649,800,502,16,500,500,503,504,800,502,502,16,502,503,502,502,649,462,800,649,800,103,500,328,503,502,501,800,500,501,503,504,503,502,897,501,504,800,282,649,282,504,502,501,282,502,502,649,16,107,501,282,500,503,500,500,649,504,282,501,649,504,500,800,649,502,282,503,503,502,649,800,800,500,282,11,282,502,282,649,500,503,800,503,800,355,503,503,800,503,282,16,502,649,282,501,500,800,175,282,503,501,16,502,500,500,501,503,502,501,282,649,501,800,503,501,649,16,800,16,16,16,503,503,103,515,503,502,282,502,800,500,502,800,500,502,649,501,503,501,649,218,500,501,956,503,500,282,500,16,807,649,16,120,502,238,800,800,502,834,503,502,965,55,649,604,503,503,800,502,503,501,502,500,649,500,282,800,649,500,502,500,649,466,500,649,649,501,800,503,500,501,501,502,466,649,501,503,501,503,501,504,649,500,970,503,503,800,282,708,649,87,501,500,649,282,502,649,500,649,282,502,357,649,649,504,282,500,500,501,503,502,504,649,758,503,503,800,501,649,282,649,282,502,252,16,649,502,800,107,501,649,501,500,649,800,500,800,502,503,503,500,503,502,107,502,800,16,282,800,649,502,500,500,800,800,282,800,282,501,649,16,501,282,501,282,504,763,262,501,282,500,800,502,501,800,502,502,500,616,649,800,502,502,500,500,800,502,500,500,500,649,374,501,800,800,95,649,502,800,500,503,501,16,503,500,503,735,503,501,800,800,16,649,322,800,503,502,705,649,502,500,395,500,235,198,800,282,514,20,16,501,800,282,503,649,649,501,800,800,502,503,649,501,227,502,800,503,16,502,503,800,16,502,282,800,800,282,282,41,649,500,649,649,503,498,800,503,282,282,502,649,649,502,800,800,800,500,500,502,501,503,502,649,618,649,800,502,504,649,504,282,649,649,16,800,501,501,800,501,356,273,501,500,501,500,503,800,779,649,206,502,800,502,503,627,282,649,501,282,503,800,503,500,282,502,800,500,649,501,500,502,501,503,800,800,502,501,16,282,819,800,554,649,465,501,601,649,515,503,503,282,649,795,501,500,196,504,503,503,502,701,500,217,282,800,800,705,501,649,800,501,500,500,502,800,502,282,25,174,800,503,502,703,649,326,503,502,500,500,485,824,503,503,494,16,800,501,501,715,282,501,503,500,501,501,649,500,500,500,649,800,55,502,649,501,501,282,502,649,57,800,500,500,502,282,649,503,502,800,501,503,502,503,282,503,501,649,800,745,500,16,501,501,282,500,835,501,502,503,503,503,501,502,501,282,649,471,800,500,649,503,503,649,290,502,282,500,504,502,282,649,646,502,282,503,503,502,800,502,800,90,501,800,504,355,500,500,502,501,501,800,502,502,800,500,503,500,649,649,800,439,800,501,649,500,501,16,502,502,502,501,503,810,503,500,628,463,649,502,502,501,503,501,500,500,500,282,649,502,800,501,501,173,282,501,282,503,282,649,502,502,649,82,502,501,800,504,360,502,503,282,502,503,501,331,502,800,589,503,649,502,282,910,503,742,500,502,805,649,800,500,501,503,649,563,502,502,282,501,503,282,282,501,500,591,500,501,501,800,309,502,503,854,501,282,503,649,502,513,502,282,594,504,103,503,16,282,800,16,500,430,454,503,477,502,500,503,500,255,132,501,282,649,503,863,500,502,649,501,501,500,503,16,500,503,649,712,503,936,501,500,503,502,800,500,501,16,649,9,660,207,502,500,800,698,649,503,503,800,837,800,800,16,502,103,873,800,282,503,282,800,500,103,649,282,135,800,282,500,282,174,502,649,282,503,649,500,800,502,501,800,649,62,16,500,800,502,800,502,649,705,501,503,502,649,500,502,501,676,26,500,502,503,649,649,800,503,649,500,501,33,649,503,503,500,500,894,501,501,800,16,503,500,502,739,501,500,800,502,649,649,502,800,501,502,503,282,500,501,800,500,282,500,649,502,800,800,800,503,500,500,800,501,502,282,649,500,500,501,500,500,649,282,579,501,649,500,512,800,501,502,649,503,500,800,500,502,502,394,800,649,649,649,501,649,500,503,501,500,16,800,275,501,800,503,501,649,649,800,649,503,407,501,501,649,501,282,503,800,100,649,500,500,86,500,16,501,800,282,649,503,608,649,503,16,500,502,694,501,502,649,502,16,500,236,649,503,800,151,502,503,649,502,502,599,612,501,282,282,800,649,501,501,500,800,500,503,500,212,503,338,16,800,501,295,800,562,16,500,800,649,649,282,414,649,501,800,502,502,282,800,107,16,500,503,800,649,815,800,248,501,500,649,16,500,501,282,502,855,500,503,800,502,649,502,282,503,504,649,849,502,107,501,800,503,800,649,649,501,500,503,503,516,282,501,501,503,500,282,503,649,502,16,503,502,503,501,709,649,959,800,500,800,503,282,282,800,649,624,16,649,800,503,503,502,649,149,503,836,883,503,429,800,800,501,502,282,649,501,550,596,501,500,206,501,503,800,282,500,649,500,282,503,501,503,649,501,500,282,500,503,500,500,649,501,500,501,500,500,502,649,649,500,500,501,500,500,503,800,16,504,800,592,501,503,800,282,503,502,502,694,503,649,500,649,649,500,501,501,649,800,502,351,503,503,400,502,501,501,501,649,500,500,800,504,800,502,501,576,500,503,811,501,503,501,107,800,282,16,800,649,588,16,649,502,500,500,649,502,502,649,502,504,388,800,500,649,800,800,163,282,502,503,501,73,500,501,800,502,500,282,750,500,705,649,649,503,503,103,501,501,800,762,16,649,800,16,649,503,501,800,503,561,984,502,800,501,500,16,16,800,500,503,16,503,60,502,500,800,502,800,503,649,282,832,649,649,649,699,503,502,649,649,800,500,649,501,649,500,800,282,16,576,282,282,800,502,503,504,500,503,501,500,503,501,500,502,832,503,282,501,649,16,649,282,502,501,649,502,739,503,649,501,16,500,156,649,503,501,503,649,16,502,800,843,500,500,503,104,501,500,500,500,684,615,282,649,502,800,500,504,696,501,500,649,282,649,16,800,500,502,504,502,503,124,800,282,800,503,503,503,501,500,649,649,282,661,691,503,500,16,501,16,503,107,255,501,503,503,282,501,500,800,500,501,388,384,649,503,910,649,282,503,800,501,282,800,502,282,64,501,503,649,500,500,501,800,74,282,503,500,16,649,503,502,649,800,800,503,282,800,800,19,502,500,649,282,502,16,800,282,503,649,501,502,649,282,981,800,800,282,282,474,649,800,500,502,500,806,685,16,500,504,800,800,500,649,642,502,649,649,282,412,502,503,503,800,800,16,501,16,504,649,905,800,16,503,503,649,500,502,649,653,103,504,503,504,103,649,649,501,649,501,502,740,649,800,501,502,503,649,501,503,500,500,501,649,16,282,502,501,849,501,649,16,649,649,502,649,500,501,130,16,501,282,800,500,500,107,800,615,282,649,500,503,800,605,500,800,502,649,649,800,800,649,504,501,503,800,800,282,800,502,282,649,501,501,649,800,103,503,16,503,282,503,501,649,282,503,800,501,649,800,282,107,502,567,503,838,500,16,501,800,502,502,574,282,288,649,503,649,800,503,199,503,649,800,282,649,501,500,214,501,503,504,503,282,503,6,503,500,501,800,501,103,500,501,501,282,800,282,502,503,501,649,800,800,649,502,502,503,500,800,800,502,282,500,649,502,501,502,501,282,504,503,503,502,502,282,282,500,751,649,649,503,44,649,502,504,965,502,107,649,501,649,500,503,503,649,502,282,755,597,800,108,502,500,282,503,500,649,500,292,501,800,482,501,581,800,214,500,500,501,16,16,649,501,503,503,649,649,661,503,800,501,649,502,649,503,500,800,501,800,956,502,501,502,282,503,800,800,692,503,282,929,503,502,800,800,502,500,84,649,800,500,800,649,501,800,649,649,503,502,500,500,503,649,16,800,649,800,924,500,503,504,503,800,535,500,500,504,800,501,800,500,503,503,800,282,501,500,502,503,504,501,501,282,649,280,502,800,16,502,502,501,649,503,800,60,785,800,67,500,800,501,800,649,282,649,502,649,282,501,501,649,987,282,800,501,800,503,503,504,500,282,800,500,649,67,649,788,649,304,501,501,500,649,502,503,282,500,503,500,501,282,649,503,500,673,500,481,501,503,649,502,800,503,800,16,500,501,942,501,503,649,800,649,502,504,501,282,503,502,851,16,502,501,800,502,501,852,649,502,649,501,502,761,503,649,282,501,501,16,800,254,649,16,800,472,649,503,503,800,649,502,501,107,502,260,16,945,502,649,649,282,500,500,500,503,935,705,500,16,502,501,502,500,504,16,504,500,501,800,800,649,500,800,503,500,500,502,6,503,500,501,501,800,16,649,800,800,502,151,502,501,503,649,502,648,500,502,503,503,502,800,502,502,800,127,500,649,649,800,649,501,282,502,649,16,503,800,502,502,500,501,502,993,525,222,501,503,503,503,503,501,503,591,284,500,501,107,500,503,500,800,800,128,174,503,500,504,503,188,16,649,318,504,504,500,501,282,503,501,649,501,800,503,500,485,503,103,282,649,501,501,117,539,649,504,649,501,800,501,500,282,501,500,282,503,500,800,282,700,202,649,503,503,649,503,482,502,502,501,649,16,649,649,501,649,500,502,503,501,716,500,800,283,500,500,649,87,500,15,503,649,649,501,649,502,800,800,503,503,501,705,291,501,501,282,800,501,845,593,501,500,565,577,500,800,502,112,800,500,800,500,800,282,503,501,500,649,649,800,501,649,37,649,503,649,649,800,649,501,503,503,191,999,195,800,503,820,502,503,500,500,221,502,800,469,501,649,618,461,500,649,649,800,501,282,282,800,500,503,800,800,282,649,282,282,502,500,103,502,503,503,568,503,500,582,915,500,501,501,282,502,502,649,500,649,502,503,16,649,649,401,501,502,738,649,501,501,502,282,503,500,800,282,951,501,503,502,800,503,538,884,265,649,501,503,16,503,800,512,159,502,500,356,502,649,456,800,501,504,649,502,500,800,649,501,500,282,503,501,501,500,500,503,501,502,503,208,501,800,16,239,501,503,503,800,502,500,503,649,16,649,503,502,500,501,21,503,649,800,800,282,649,502,282,500,16,501,503,503,613,503,800,501,282,501,500,649,649,503,503,557,502,501,800,282,502,501,502,800,502,282,502,190,502,16,649,800,504,800,503,503,947,503,107,503,501,503,501,649,649,800,503,282,45,649,16,501,800,503,502,502,103,649,649,503,501,500,503,800,501,919,540,475,503,649,800,500,500,502,501,501,103,500,500,282,800,501,501,503,503,649,501,712,502,800,503,504,502,649,503,503,649,649,503,501,800,501,649,649,649,502,500,503,503,504,190,649,163,502,807,396,649,649,800,282,800,500,502,800,649,501,649,649,800,502,282,146,503,501,503,501,16,16,649,502,314,502,649,282,282,502,501,649,500,503,500,502,503,504,800,800,501,649,800,500,504,455,503,502,649,649,503,566,649,502,649,649,503,649,502,500,503,500,649,999,501,500,500,649,800,282,502,502,503,504,503,503,649,503,282,502,501,8,170,800,733,16,500,16,800,503,282,649,500,649,500,649,649,503,503,800,501,649,501,16,853,626,500,501,500,800,16,800,800,500,282,282,500,501,282,501,649,503,649,500,800,503,501,502,800,500,649,480,502,649,282,502,282,503,501,649,500,501,501,16,800,282,500,501,500,649,500,501,649,800,500,502,503,800,501,800,282,500,503,800,501,501,800,501,103,282,502,500,282,954,501,800,502,501,502,491,649,502,397,503,800,649,649,800,649,649,502,500,502,502,282,503,282,501,500,502,800,503,503,500,16,502,16,502,16,501,503,800,649,500,504,649,503,259,502,800,107,649,501,800,997,502,503,500,282,282,649,282,503,800,800,282,649,503,448,287,501,282,500,649,649,500,16,800,649,990,502,800,500,402,841,503,501,503,649,282,543,16,800,501,501,282,246,107,503,649,366,502,502,778,502,851,800,800,500,649,40,282,649,649,503,500,931,500,649,501,649,504,649,621,700,503,502,800,503,501,649,3,242,503,501,523,503,503,503,800,16,500,502,649,500,282,282,649,500,649,800,800,500,501,500,649,501,501,501,502,800,649,649,501,282,800,502,502,282,800,500,800,502,556,909,503,62,503,501,705,742,250,503,503,531,786,705,501,279,496,800,649,31,249,482,649,502,729,711,500,800,500,800,500,502,501,502,503,501,800,282,995,500,811,503,800,501,501,501,800,649,501,502,800,649,933,502,282,501,501,800,16,500,500,649,503,649,501,649,73,503,704,649,649,661,503,16,500,649,503,402,800,501,649,957,649,500,503,977,400,16,649,500,503,800,501,564,502,502,500,649,502,558,502,503,282,649,501,396,502,500,649,800,503,500,800,800,502,502,649,649,712,503,800,503,282,104,649,16,282,500,282,500,667,282,800,282,501,500,500,503,503,282,16,501,500,503,16,282,800,282,705,500,649,503,16,355,800,282,282,501,502,502,500,649,501,800,649,282,960,500,107,26,282,500,800,503,502,482,500,502,502,673,501,800,121,649,342,16,103,800,196,502,500,502,800,503,503,503,504,500,476,800,324,800,503,502,503,502,501,649,800,645,368,433,282,503,502,649,503,503,282,503,503,282,76,501,103,800,649,800,282,649,282,503,649,507,501,282,502,16,282,282,502,649,3,395,502,500,504,447,894,800,649,800,502,282,503,501,649,883,800,501,374,649,800,503,660,282,501,649,800,800,501,649,16,325,282,231,500,503,503,878,500,503,503,800,500,501,501,500,618,501,800,372,649,505,103,384,649,800,649,500,500,215,649,144,500,649,767,25,800,503,503,500,649,282,500,103,501,800,503,990,502,476,502,501,502,800,282,500,503,282,800,649,503,502,503,16,503,16,500,478,103,501,800,501,503,502,503,503,501,503,503,649,503,500,504,649,501,800,501,501,16,503,502,501,502,269,800,501,500,500,282,502,502,502,977,501,500,649,800,499,501,800,501,500,282,502,503,503,500,475,500,500,502,500,282,500,649,502,503,649,501,503,649,649,649,503,800,500,16,421,800,503,800,282,501,490,800,500,503,282,503,282,282,503,504,800,800,500,705,103,800,503,502,800,16,501,503,385,503,500,501,501,504,649,107,501,800,502,500,502,649,945,649,500,502,502,366,42,503,502,503,501,800,649,501,501,16,502,282,649,503,800,800,223,649,500,649,503,503,502,501,501,500,36,16,501,503,500,800,502,501,503,649,800,17,800,800,800,680,800,500,503,649,500,649,96,502,282,800,282,649,503,500,501,800,282,502,282,500,800,234,502,737,800,282,800,502,649,735,970,503,500,502,649,502,649,649,503,502,501,800,107,502,502,649,282,800,911,503,502,800,649,503,649,800,502,503,16,649,500,649,502,649,503,503,800,800,16,503,282,282,649,502,282,501,500,649,502,503,800,500,16,502,649,501,503,377,649,800,503,107,503,800,282,797,649,501,501,502,649,500,649,503,282,800,79,503,634,502,502,502,649,39,800,800,197,800,21,502,501,800,502,501,649,649,809,800,282,649,503,282,282,500,501,800,501,649,500,638,501,649,817,800,503,502,500,282,500,800,800,503,502,503,503,408,800,503,502,649,501,649,503,503,501,503,500,500,501,800,501,501,500,501,177,16,16,282,503,500,500,391,500,504,500,649,282,649,296,501,500,16,649,343,503,649,282,503,503,501,501,800,16,107,800,501,705,500,503,800,705,800,800,503,16,502,649,503,500,824,649,503,800,800,800,502,503,649,800,500,501,649,502,502,501,500,282,502,800,503,500,502,501,282,504,856,503,800,649,16,504,629,808,504,800,502,501,500,502,800,501,282,800,503,86,502,503,282,500,503,503,800,503,649,504,649,501,649,649,500,16,501,502,649,500,800,504,501,412,88,503,502,649,503,500,503,502,379,500,649,771,501,800,649,504,503,501,501,501,282,502,649,800,503,500,800,649,502,503,768,800,503,501,800,109,500,500,894,503,502,501,16,504,503,501,22,501,649,282,503,500,502,282,16,649,502,649,705,800,500,534,579,649,502,800,800,500,500,282,800,800,500,800,500,771,503,501,282,800,502,649,500,282,504,502,800,502,501,649,503,501,16,503,504,649,503,282,649,282,228,500,103,501,500,501,107,500,800,503,501,621,502,649,196,649,649,502,503,503,800,500,502,800,800,503,649,282,502,500,500,16,649,690,197,503,800,502,386,800,503,503,500,845,504,800,859,800,502,649,282,503,156,503,502,800,649,800,500,649,800,282,800,800,750,282,800,282,502,800,649,965,622,16,503,56,16,649,502,503,649,16,800,771,870,502,500,428,16,439,800,800,649,649,16,282,168,649,502,503,649,504,500,501,503,503,500,501,502,800,502,500,282,649,501,649,800,282,649,800,536,503,649,790,500,800,800,799,649,16,649,694,649,502,649,504,965,502,602,503,800,800,66,501,503,705,405,800,555,800,282,500,649,500,800,502,501,502,500,282,501,649,503,800,800,800,502,649,16,501,823,649,501,573,207,503,800,649,649,800,800,649,649,500,501,282,500,282,685,503,500,501,502,282,800,501,503,16,503,500,321,501,500,282,500,502,649,800,800,501,633,503,501,501,581,800,500,800,282,800,649,501,840,504,282,107,33,922,800,503,500,604,282,282,500,528,501,502,800,399,501,500,747,800,500,501,195,282,502,504,500,282,502,500,107,500,504,503,16,649,501,649,503,649,545,546,500,149,800,501,649,503,502,500,265,17,800,816,503,413,282,501,935,649,649,500,502,500,502,282,502,649,649,800,502,500,649,503,504,782,649,800,502,16,503,649,503,500,502,649,500,503,800,282,503,501,500,500,649,503,500,500,800,502,800,756,649,503,649,649,502,501,329,500,800,800,455,501,362,502,649,504,501,649,16,649,503,800,500,502,502,242,800,500,100,500,800,177,504,500,501,500,649,875,503,500,500,502,800,800,282,800,800,16,286,282,649,649,503,649,649,503,503,649,501,800,437,503,500,539,800,504,800,800,649,16,500,649,502,586,649,500,324,282,503,501,199,501,502,649,491,282,16,501,501,501,282,441,65,800,16,501,500,282,501,649,16,649,800,502,503,504,282,282,503,993,800,282,800,502,16,501,501,503,800,649,501,649,800,502,751,500,503,502,500,500,800,649,501,282,503,501,591,282,649,649,800,649,103,649,243,282,649,500,503,649,16,503,500,649,502,800,501,503,501,500,800,502,800,282,502,501,501,502,503,649,649,649,502,502,502,649,663,503,501,502,649,502,16,649,649,649,777,794,500,103,649,649,800,501,16,502,500,501,503,16,500,864,500,500,502,501,501,501,503,503,500,282,595,502,16,649,503,502,282,800,282,959,282,14,64,800,503,100,282,649,136,533,500,501,502,501,649,649,501,582,504,501,501,501,282,502,649,503,503,501,500,16,501,16,649,504,800,131,502,503,800,282,502,503,504,16,649,502,800,503,501,249,886,504,504,828,500,649,500,501,44,503,502,500,501,800,800,649,501,501,649,231,282,502,221,502,282,500,649,16,501,501,502,559,500,16,345,649,649,501,501,500,500,503,649,502,500,500,478,503,800,103,16,500,800,502,500,503,500,502,503,103,566,502,800,282,503,282,800,881,824,395,800,800,500,500,649,502,649,800,800,500,868,800,649,500,649,800,282,502,501,501,282,503,502,16,378,800,500,649,800,503,500,705,500,502,503,501,501,800,503,324,265,800,800,800,120,499,800,503,649,502,501,502,269,500,649,16,649,968,830,503,502,501,503,800,503,333,500,503,649,503,800,282,502,69,500,754,16,16,503,501,282,502,800,501,501,502,800,16,500,500,800,504,503,501,502,800,649,649,500,800,649,310,282,800,503,502,282,503,800,649,800,16,500,502,501,501,503,804,500,103,282,502,800,16,800,800,649,503,503,800,501,282,800,649,500,502,649,502,158,501,649,862,738,503,500,100,503,500,800,800,503,500,500,800,501,800,502,649,800,919,649,499,282,501,503,16,800,282,282,800,503,502,502,941,503,503,649,500,502,282,57,649,649,500,649,800,800,501,800,640,800,800,502,504,800,107,503,16,503,501,502,649,500,649,890,649,500,502,800,800,500,503,282,800,800,392,502,502,502,503,800,649,501,900,656,649,500,746,649,282,282,649,502,502,503,649,649,103,501,501,282,501,800,503,649,484,16,503,501,800,432,501,501,800,640,504,502,800,800,500,800,500,503,503,649,800,649,503,800,503,299,282,503,500,500,503,503,282,656,502,800,649,815,500,503,503,500,800,503,500,503,800,503,282,500,649,282,502,503,107,502,501,500,501,502,503,16,800,933,800,282,501,820,609,500,502,649,502,800,649,500,800,500,107,565,649,502,800,500,649,503,503,501,800,282,504,503,618,282,542,800,503,500,500,500,16,500,500,649,282,103,649,800,16,699,649,800,800,500,500,800,800,501,649,502,999,501,500,503,501,282,503,649,502,649,800,501,502,503,500,502,46,500,511,649,500,502,735,503,502,800,649,649,649,501,312,500,800,240,800,800,501,649,282,501,800,282,503,772,501,649,502,502,649,649,501,503,649,649,501,500,503,500,282,657,649,503,503,502,649,649,800,649,501,500,502,502,500,500,649,503,649,503,649,502,500,500,502,800,470,800,649,503,503,500,649,800,800,500,800,501,503,501,649,503,502,500,800,282,16,649,502,800,502,500,502,502,503,800,464,649,502,504,503,346,800,502,800,502,503,501,500,16,800,500,337,461,500,694,502,502,800,800,649,500,685,282,503,684,649,502,501,282,800,649,800,500,503,800,501,800,171,282,107,800,800,502,394,649,649,166,649,649,549,501,439,408,502,501,339,503,503,649,282,504,69,502,282,500,649,503,501,800,107,504,502,800,503,501,800,502,649,503,800,590,503,649,503,649,800,800,103,972,800,502,500,107,785,504,282,502,339,502,16,800,502,649,103,500,503,502,501,502,572,800,800,502,649,800,500,501,649,503,541,800,503,500,501,230,800,649,514,500,800,501,500,502,800,503,502,501,500,500,800,800,16,800,502,500,649,800,504,800,487,800,16,503,502,503,800,16,800,500,501,501,502,503,504,502,16,500,502,501,649,500,649,501,503,503,959,503,500,649,649,502,800,649,501,500,503,16,806,500,649,800,282,16,107,282,501,800,503,501,800,502,504,501,189,282,502,649,649,500,500,649,649,501,802,841,16,503,502,921,500,649,503,500,501,16,348,16,282,501,841,501,502,503,22,537,500,282,502,551,501,282,502,500,501,502,500,500,282,501,502,503,501,800,649,649,502,500,282,649,649,926,282,800,500,649,503,501,343,501,800,649,896,502,500,800,800,649,649,282,503,16,502,502,502,649,502,503,619,504,501,446,503,649,500,500,649,502,649,500,847,391,282,649,502,282,649,800,500,800,800,503,915,503,16,649,800,649,800,503,107,117,649,500,500,502,800,282,500,800,503,282,501,501,500,502,649,649,501,800,500,649,989,500,107,404,500,500,500,282,503,893,49,282,800,500,409,502,502,504,501,718,500,500,649,800,177,799,500,503,501,282,800,500,800,500,16,500,503,502,800,503,800,502,501,502,502,500,501,502,800,500,502,649,419,867,503,503,800,800,502,501,501,503,528,649,500,70,16,504,282,503,649,284,500,800,501,501,494,282,503,800,502,501,800,512,500,282,503,800,649,313,282,282,503,649,501,503,649,800,4,500,800,500,983,501,649,649,800,500,800,503,640,800,20,800,500,256,500,500,174,501,282,502,503,503,649,800,429,501,502,282,501,500,503,501,503,501,502,282,649,282,502,502,189,282,501,501,649,16,800,800,502,501,282,649,503,282,649,501,800,800,502,482,500,282,16,502,501,649,649,504,647,502,282,282,503,800,502,501,800,503,501,500,649,879,800,501,728,502,266,500,503,502,649,500,502,649,649,501,649,500,502,800,800,61,800,503,501,503,503,501,503,649,501,501,502,800,500,503,282,500,649,649,649,649,649,501,500,282,500,503,501,800,502,500,500,500,16,649,928,501,503,649,95,501,500,282,501,800,282,500,500,924,501,501,649,107,2,649,501,502,502,649,800,501,800,501,500,502,282,501,502,501,914,649,282,502,649,501,800,502,649,501,502,800,502,501,502,502,649,649,751,500,282,800,502,12,800,649,16,74,501,649,800,500,502,503,501,500,282,649,501,503,104,461,500,800,500,800,282,500,282,502,503,504,649,581,800,800,503,800,502,500,649,503,503,504,502,503,800,502,502,501,504,800,501,800,500,500,930,800,649,891,282,282,503,503,503,649,800,500,752,503,800,504,801,649,800,503,500,500,16,500,500,504,444,800,501,502,800,501,282,800,500,282,500,282,503,502,503,800,502,504,649,649,800,649,502,984,800,365,800,500,282,800,719,800,501,502,500,716,649,500,500,500,501,980,649,503,500,500,501,75,800,723,503,649,800,507,500,503,501,35,800,16,649,500,237,500,800,800,502,503,649,501,800,503,800,503,126,503,16,16,875,500,800,501,502,502,502,314,502,502,800,800,649,500,649,502,267,16,838,152,282,800,501,502,800,800,500,503,169,500,649,501,502,500,502,503,502,282,504,282,654,649,503,8,501,503,712,500,649,504,107,649,649,649,649,282,649,800,800,503,38,649,503,502,867,500,501,800,502,502,800,800,504,501,503,649,800,500,504,16,282,502,282,103,500,282,649,142,649,500,649,501,502,501,500,649,500,282,501,649,502,800,705,500,649,881,800,649,649,500,800,501,800,500,503,500,503,649,503,130,800,503,282,800,203,502,501,500,503,649,800,800,500,500,280,500,649,282,503,649,26,329,649,542,800,282,500,501,3,502,800,500,800,500,504,800,500,502,649,503,282,503,502,800,800,500,502,502,649,503,649,501,503,800,501,800,501,500,502,596,649,502,649,501,292,503,502,800,785,802,16,887,800,649,502,800,500,800,500,649,649,800,502,500,825,501,800,107,16,649,500,800,503,502,282,800,16,649,282,500,649,500,649,500,500,501,500,800,800,503,502,800,503,502,503,16,705,504,501,16,502,16,502,649,282,581,649,500,501,501,500,500,649,501,503,900,800,437,649,501,16,500,800,500,800,500,207,503,341,501,649,800,503,649,503,117,501,504,502,500,103,503,502,503,503,282,649,500,800,800,721,501,282,691,649,649,800,502,649,800,502,500,353,649,649,649,212,503,282,503,869,500,503,503,981,502,503,500,501,500,502,501,500,501,354,502,280,503,800,504,501,649,354,502,501,282,503,500,800,800,502,503,649,800,46,800,282,107,501,503,501,503,500,501,800,501,500,16,543,503,591,800,500,501,502,503,503,503,502,941,649,265,800,800,500,502,194,500,16,503,800,500,501,502,800,500,16,501,16,649,649,502,503,502,282,338,502,501,800,500,282,501,501,16,649,16,501,606,282,800,800,649,649,649,502,500,501,502,282,649,500,649,503,649,649,502,107,503,500,705,547,800,522,155,649,503,501,501,504,478,851,502,504,282,502,501,633,649,502,800,500,649,282,502,504,501,282,417,721,500,649,649,500,503,282,500,373,16,282,705,503,107,500,502,800,502,500,800,502,501,800,282,503,800,501,649,503,718,504,500,800,649,649,503,649,800,649,290,649,500,503,503,500,604,503,649,800,502,800,16,503,500,800,649,502,800,503,500,500,503,503,502,503,800,755,503,282,501,501,503,649,282,800,649,500,501,503,800,649,500,282,649,14,500,500,500,502,501,282,649,282,501,16,800,729,500,16,282,501,800,811,502,503,16,501,502,282,503,649,649,233,500,16,502,500,616,501,795,500,500,500,502,398,504,500,649,502,500,501,503,584,800,800,282,800,282,501,503,800,501,500,649,800,503,502,501,503,500,800,501,503,502,501,649,282,500,500,500,500,800,502,646,649,501,500,500,502,800,501,500,16,649,282,501,503,29,503,502,247,146,502,503,503,500,501,649,800,500,504,16,500,500,502,282,501,500,500,649,503,16,502,502,503,282,500,501,649,503,502,800,16,500,502,500,935,649,279,877,800,800,649,502,501,502,503,649,183,800,500,503,96,503,263,500,649,504,800,502,16,502,649,501,649,649,649,503,501,95,16,503,610,684,800,500,500,107,502,503,313,262,800,502,756,500,501,649,502,649,502,282,224,649,502,501,501,502,500,800,501,282,649,649,503,500,800,502,502,800,800,510,504,649,649,487,649,500,500,500,502,502,649,501,800,800,500,502,282,501,16,503,503,18,107,800,107,500,500,501,501,649,501,800,800,16,282,500,502,390,502,500,800,16,503,502,649,649,649,649,503,501,800,16,800,500,502,502,503,500,502,502,808,500,712,107,649,282,644,809,502,16,282,800,501,800,800,361,502,500,800,107,282,649,501,800,503,649,103,501,501,500,649,501,800,332,16,663,117,800,500,282,649,800,500,800,800,503,16,835,503,503,502,500,503,649,649,52,501,800,502,282,391,500,698,508,503,587,800,800,502,501,282,504,502,500,115,503,282,503,501,502,800,16,649,282,751,16,502,282,503,591,500,687,500,502,502,282,649,501,792,971,800,683,961,178,566,800,649,282,800,500,649,501,501,137,282,503,107,649,16,500,660,502,649,626,502,282,502,502,351,502,779,649,282,649,225,800,501,503,800,501,503,501,500,107,500,800,16,500,500,723,647,800,282,649,503,649,500,501,500,501,350,419,501,16,170,103,800,502,504,504,503,800,282,500,282,500,550,502,501,649,649,203,500,83,500,649,501,800,501,800,502,368,503,773,500,850,705,16,649,503,690,501,500,282,500,502,800,282,500,501,282,500,502,502,338,501,351,503,503,649,800,501,16,501,649,282,500,649,502,649,282,503,899,500,501,800,649,501,452,16,800,503,502,282,501,800,800,500,502,500,501,502,649,502,504,451,649,282,500,502,649,409,649,282,502,501,502,800,800,501,649,502,800,649,161,800,654,447,136,974,282,480,705,649,500,500,649,502,649,500,500,500,503,395,800,500,502,800,665,502,659,800,282,800,772,16,502,103,836,501,800,282,502,503,503,500,252,503,282,282,502,649,501,502,500,503,800,16,502,187,800,502,173,282,438,500,800,800,649,502,501,800,503,500,501,501,800,649,500,282,503,649,649,985,501,502,608,500,649,501,800,502,649,282,649,501,501,615,575,107,282,694,479,800,503,152,512,503,649,500,500,800,940,502,501,503,502,504,503,501,833,800,501,649,501,282,503,501,501,503,533,800,282,502,500,502,502,649,502,500,500,504,501,501,500,503,502,503,502,502,649,282,502,501,500,502,649,500,500,800,800,502,981,979,501,800,163,500,800,649,800,649,649,502,503,500,800,501,162,502,649,649,501,501,800,501,800,500,282,800,649,504,454,649,501,593,16,649,502,800,502,503,649,500,500,282,501,649,500,502,502,649,282,503,743,501,649,503,927,501,500,800,800,502,503,282,800,500,519,503,16,800,501,800,500,500,121,800,500,181,800,501,800,500,800,501,282,503,649,501,503,503,649,500,282,800,649,502,801,754,107,649,282,500,502,800,959,503,502,204,503,800,521,649,502,502,849,500,500,500,800,649,649,500,282,503,649,503,500,207,503,282,309,502,655,800,501,500,503,504,103,682,649,216,501,278,500,508,800,488,501,500,501,503,282,502,649,501,504,503,388,649,800,800,117,500,501,503,734,502,502,16,500,502,282,500,353,501,800,800,800,649,282,282,500,16,501,501,502,800,282,500,342,500,517,501,689,800,649,528,800,16,500,649,501,705,282,502,291,282,502,800,500,501,503,500,649,501,500,502,501,649,503,500,107,16,501,501,500,800,16,282,503,501,49,500,649,649,503,503,500,501,500,503,504,649,503,502,649,500,800,503,502,503,807,502,501,800,502,500,502,502,500,502,800,864,649,501,800,501,501,485,100,501,649,504,800,502,700,282,16,500,503,502,500,502,502,501,503,800,502,938,793,800,282,649,800,282,16,649,282,500,503,503,16,649,560,502,504,502,502,649,282,501,500,502,501,502,503,803,502,501,501,16,502,282,800,119,649,501,502,795,500,149,502,649,420,649,501,500,800,503,346,503,107,649,800,502,503,282,800,107,504,16,556,649,504,649,500,800,598,500,282,502,500,501,107,500,649,502,814,500,649,642,77,501,649,649,501,500,501,800,502,503,500,107,649,503,800,503,714,501,501,502,501,800,800,649,503,282,503,934,500,502,502,501,502,503,500,649,282,502,503,649,500,800,503,504,502,502,649,502,483,282,800,800,684,800,500,500,500,500,503,501,16,500,500,503,500,800,800,649,16,503,649,800,16,691,4,649,649,503,503,800,503,16,156,501,530,504,502,500,16,504,503,503,649,800,649,503,649,503,501,501,24,500,500,501,282,282,800,800,649,501,649,502,500,503,501,16,800,503,501,649,177,503,800,800,503,191,500,502,503,500,800,16,899,800,649,503,913,502,800,103,500,502,501,503,911,800,502,521,502,503,800,503,500,107,502,501,649,500,800,502,807,666,500,500,500,503,501,501,500,800,503,500,501,500,500,103,649,500,500,800,649,504,504,500,800,914,503,501,649,500,800,649,912,501,501,649,16,649,501,282,500,201,501,501,502,649,649,830,649,502,500,282,500,800,800,502,183,649,503,649,500,649,501,649,500,100,500,800,503,800,500,282,649,649,649,501,649,583,500,16,501,501,705,501,500,390,502,615,557,800,502,649,649,681,649,800,243,122,502,500,282,501,231,500,656,800,502,282,649,500,503,502,800,800,649,502,800,500,502,500,649,500,800,409,504,502,800,800,500,282,649,501,784,500,504,503,501,500,649,502,649,500,501,282,649,649,501,502,800,979,500,501,502,456,502,501,501,501,503,282,504,502,800,502,800,500,502,500,16,532,649,649,503,501,16,502,502,500,501,649,800,501,649,649,502,500,502,470,502,500,800,935,649,800,500,501,503,282,649,312,502,501,912,502,502,123,500,649,502,800,502,649,502,800,500,282,503,649,503,500,502,135,503,104,800,501,503,649,501,201,502,500,282,503,800,503,800,282,800,800,282,800,503,504,800,500,500,649,398,503,501,800,503,503,27,503,282,649,800,501,502,103,282,502,863,502,500,649,500,501,501,800,502,649,500,800,649,501,501,282,502,501,800,282,800,500,649,800,649,500,503,502,4,649,503,97,500,504,502,502,502,500,503,16,502,503,502,500,501,503,502,501,800,107,504,800,649,649,800,16,649,649,800,800,268,800,500,800,501,500,502,800,649,502,16,649,503,231,800,16,503,501,500,503,16,503,649,989,16,501,503,502,16,500,502,103,502,800,16,500,800,500,123,649,508,800,800,813,501,954,800,107,649,452,282,503,282,135,231,16,800,21,649,501,800,502,501,502,502,649,641,109,503,282,649,281,550,649,503,104,500,800,649,502,16,503,501,503,500,503,503,16,282,500,503,500,503,503,500,501,501,800,857,503,502,503,503,266,16,282,500,800,397,503,501,500,503,503,737,502,649,500,501,800,539,282,503,176,282,649,500,502,649,501,500,504,800,500,501,16,501,282,502,503,282,380,501,500,501,800,501,500,501,649,282,163,500,503,502,649,107,282,501,502,501,500,800,500,649,800,500,800,107,503,502,674,947,503,800,501,503,500,157,500,502,800,501,800,504,328,501,649,501,649,501,282,502,501,501,649,225,649,800,300,16,16,800,800,501,282,502,503,282,738,649,852,800,282,502,501,549,800,504,503,502,502,649,495,502,282,503,500,800,649,800,800,500,649,649,649,501,501,502,800,501,107,502,501,649,500,503,649,500,501,649,501,500,500,649,649,800,503,500,282,282,500,649,765,16,500,501,501,282,101,16,800,649,501,976,488,670,501,503,940,501,502,282,282,503,800,282,649,800,282,500,503,982,649,503,503,502,649,800,800,500,503,502,501,501,502,501,502,497,649,503,502,800,807,649,800,800,107,500,800,503,502,800,502,649,686,649,800,649,800,503,500,800,503,501,649,500,800,502,501,996,800,502,503,502,800,502,282,16,800,500,649,282,501,407,800,282,501,282,282,649,431,501,503,502,503,503,161,500,800,503,501,503,649,500,800,282,501,649,16,504,501,501,500,501,503,282,501,649,800,16,649,107,649,501,800,649,502,700,800,501,500,282,502,503,800,649,800,884,100,16,501,503,800,502,501,800,501,502,649,649,646,500,501,40,500,649,884,503,500,500,27,501,282,503,800,501,503,503,649,500,502,500,503,754,800,282,502,691,500,69,502,649,501,800,500,800,500,501,501,502,502,503,282,500,503,500,501,501,282,502,649,649,282,800,500,649,282,500,503,800,501,503,649,501,800,800,503,76,649,501,282,107,649,800,16,501,502,503,501,649,800,16,501,503,502,501,501,889,800,800,800,503,649,331,133,500,800,282,282,649,649,503,800,649,502,500,800,800,282,800,502,501,16,16,800,800,503,800,501,503,503,282,502,500,800,800,415,649,282,503,649,800,16,503,649,501,800,800,649,501,502,500,503,800,503,503,465,282,800,500,16,500,500,503,800,500,612,800,500,501,503,501,500,230,800,501,532,407,503,500,500,800,731,992,501,107,649,501,501,503,209,502,502,335,502,282,800,503,836,503,649,649,502,503,501,500,23,800,649,502,800,500,502,500,800,800,502,800,501,603,800,136,504,501,942,800,282,649,649,503,501,494,103,282,500,282,800,107,503,840,503,500,503,649,649,974,649,725,800,77,502,503,649,500,282,502,502,335,501,503,649,379,503,502,800,649,649,16,500,107,500,501,502,500,665,807,16,16,501,282,800,500,500,282,502,502,502,503,800,176,502,800,501,649,503,609,502,282,282,500,503,983,501,5,282,500,16,502,16,501,282,125,16,504,800,800,800,501,282,503,502,500,503,649,107,501,500,649,501,501,500,401,16,800,16,485,503,228,800,500,649,800,503,649,649,502,988,500,282,503,649,649,501,800,345,468,421,500,800,500,502,516,500,501,16,501,16,500,503,800,649,502,500,225,649,649,502,503,501,500,800,501,282,861,800,649,503,500,500,503,800,800,503,500,800,800,855,16,500,502,16,800,649,500,500,502,800,649,502,884,501,502,502,503,16,502,503,503,649,16,649,16,685,503,501,500,127,7,44,500,501,501,501,500,503,502,503,105,649,649,12,503,501,83,502,503,503,500,501,661,649,501,800,671,579,282,282,413,500,649,501,800,502,649,500,282,502,501,649,500,800,502,500,501,502,564,649,501,501,503,501,500,572,654,649,649,649,502,501,453,503,500,800,500,800,649,501,501,649,649,620,16,500,15,914,503,503,502,800,800,83,229,500,501,282,282,503,807,501,500,501,501,16,502,800,786,217,649,282,502,282,800,500,16,649,624,502,500,649,103,500,800,500,649,898,502,502,500,649,649,503,502,502,501,503,503,501,502,649,282,282,649,501,501,143,503,800,500,500,649,800,501,800,502,649,501,503,649,649,501,500,503,649,800,800,500,503,503,500,504,99,282,649,502,705,282,267,502,501,502,800,503,250,501,502,282,500,649,100,649,501,800,649,501,501,502,503,503,500,107,16,568,800,503,120,455,800,800,503,500,501,502,503,800,503,649,800,502,800,335,500,500,500,282,282,500,649,876,800,504,800,502,649,849,502,282,649,502,649,649,501,282,503,282,600,16,649,501,504,649,502,501,282,792,800,501,500,649,706,800,800,501,833,500,649,548,649,800,126,500,649,500,501,502,800,743,502,649,16,502,503,503,16,503,800,503,503,502,649,502,500,649,501,352,502,649,502,502,668,282,502,501,500,503,502,282,500,800,800,500,282,649,649,503,501,649,501,649,502,504,340,649,502,800,107,503,282,282,649,500,500,282,337,503,503,800,800,501,501,501,502,649,649,800,503,502,502,502,257,800,503,649,502,500,649,502,649,502,976,500,500,501,22,503,500,649,887,800,800,500,500,649,501,501,500,500,504,800,733,800,500,502,649,503,649,649,502,649,501,500,275,500,649,16,502,502,649,502,31,501,502,503,247,282,503,501,501,800,649,800,503,800,282,800,500,649,501,501,649,649,502,16,810,502,501,503,649,800,800,501,877,800,649,501,500,502,502,500,422,282,500,813,649,502,800,501,500,282,501,800,500,164,148,649,16,876,500,502,467,500,503,503,649,501,500,800,399,763,800,500,501,504,649,649,501,649,503,365,9,16,800,107,282,503,500,282,501,504,800,500,649,502,800,502,800,649,502,502,500,613,800,989,282,504,276,500,202,502,800,502,500,92,16,503,502,800,800,501,800,501,282,501,502,503,502,991,500,503,503,501,649,649,16,502,502,604,502,16,504,502,131,4,649,503,501,500,502,502,502,500,500,649,649,377,649,500,107,502,493,502,861,504,502,982,282,500,501,501,800,504,503,649,501,800,503,996,502,501,800,649,536,501,501,502,800,230,501,501,501,501,501,649,503,858,939,727,836,282,502,500,501,503,501,570,107,282,501,501,649,500,649,649,282,107,501,501,282,16,501,502,282,501,649,628,9,502,500,500,649,500,503,502,503,763,501,800,649,800,649,500,500,539,800,800,588,501,649,649,282,16,800,279,16,503,501,238,282,649,503,649,800,503,282,500,860,649,649,800,282,503,502,504,501,502,772,649,502,800,649,502,446,800,282,503,162,16,502,503,800,649,282,883,503,800,282,282,503,502,502,500,502,503,502,504,649,502,800,500,501,502,649,649,503,649,503,503,800,503,649,500,500,649,800,502,933,107,503,204,800,502,502,443,282,16,500,684,501,503,500,151,800,948,500,500,282,502,500,503,16,501,501,282,800,276,649,649,586,800,649,107,800,500,16,502,282,502,501,500,503,502,16,500,649,500,500,277,500,502,326,649,502,649,502,502,503,502,282,318,503,502,649,800,322,738,174,501,503,269,649,502,800,502,649,502,501,500,500,438,720,502,500,500,649,325,282,503,282,503,649,502,503,649,503,649,500,136,500,501,800,282,501,504,147,282,503,502,800,501,500,893,703,502,649,980,107,500,500,707,502,800,500,500,16,130,282,459,800,500,503,501,500,587,503,800,800,707,649,500,282,502,800,500,500,800,501,503,800,503,807,503,503,800,502,502,927,800,572,503,800,503,330,502,501,649,503,501,80,653,502,500,282,800,501,679,800,800,484,800,649,800,282,800,282,705,800,107,502,800,649,40,618,503,500,502,500,500,503,282,649,800,500,800,502,503,500,502,800,503,500,649,800,800,649,649,503,501,501,649,282,16,800,500,426,504,800,649,282,501,501,500,500,500,500,800,268,502,503,744,501,800,501,48,912,800,500,503,649,282,800,502,503,502,800,649,500,16,800,501,324,502,12,800,649,501,500,502,502,502,502,500,500,501,503,800,649,16,502,282,502,503,503,16,649,502,236,500,502,503,800,501,503,503,501,800,500,800,800,501,500,649,8,800,503,282,503,500,504,543,649,500,800,197,800,503,501,502,501,458,503,503,500,941,502,501,504,500,282,500,503,501,502,649,500,500,503,502,501,800,500,677,800,16,800,500,107,649,649,504,649,649,649,503,649,800,503,649,649,502,800,502,800,698,800,502,800,649,578,502,649,649,649,500,800,500,649,649,800,502,501,800,282,649,501,956,800,503,800,282,500,282,500,500,282,613,107,500,500,500,500,501,800,503,503,800,800,501,800,501,282,800,503,502,500,503,501,800,500,503,649,800,746,649,800,282,502,501,800,503,500,500,800,500,503,502,501,649,107,504,502,16,282,752,649,800,503,500,649,935,84,502,502,503,107,501,500,502,800,902,800,896,504,503,800,500,282,502,500,503,500,503,649,503,903,800,282,501,282,649,649,503,501,800,502,282,400,282,800,501,502,800,502,649,649,649,502,503,743,800,649,503,501,502,502,649,96,501,503,649,503,625,502,16,800,500,503,282,500,649,501,107,500,502,649,282,785,502,649,891,649,986,500,501,649,500,649,282,504,504,456,502,733,800,800,500,502,649,282,500,500,502,526,282,282,501,800,501,502,649,500,649,501,16,502,502,500,196,501,649,800,502,649,282,107,649,500,501,649,649,502,501,282,739,500,500,500,649,649,502,16,649,623,502,500,502,503,282,16,800,500,501,800,501,649,800,800,800,138,833,504,503,807,800,300,501,500,504,649,501,502,503,501,504,500,800,800,501,282,502,800,660,800,500,16,16,502,649,649,649,503,502,503,649,500,501,950,742,501,800,502,500,503,502,563,800,800,800,919,649,503,502,282,503,500,501,830,501,503,502,502,503,649,197,800,502,800,503,500,500,500,282,282,502,500,393,560,452,649,649,502,49,500,503,500,654,282,541,500,501,501,282,502,282,401,501,649,649,502,500,503,16,501,502,530,372,649,502,500,503,800,649,500,503,800,800,800,500,282,503,503,649,282,503,502,501,649,503,500,649,503,934,503,503,502,649,39,500,502,649,800,503,501,501,282,649,650,292,503,495,500,645,500,502,500,709,100,747,500,800,649,476,502,502,503,500,16,649,500,501,503,282,500,649,800,502,502,649,800,503,501,649,500,502,503,502,800,500,503,502,800,711,845,116,28,500,649,93,500,800,800,800,282,103,500,16,501,282,643,503,499,501,649,282,503,501,501,503,649,649,800,649,501,500,649,282,504,107,302,800,107,502,501,500,503,503,500,500,872,649,500,503,502,800,694,500,915,649,502,501,107,800,800,649,532,800,501,282,503,649,107,501,800,501,649,649,649,800,501,800,502,502,500,800,800,503,500,500,800,503,649,800,502,500,16,500,301,800,504,649,502,649,500,503,503,502,500,649,16,649,500,283,282,800,649,503,500,500,503,282,800,55,502,649,800,501,800,502,500,503,503,375,502,501,502,500,502,800,800,502,501,649,16,500,595,649,502,500,502,501,800,501,282,274,502,503,502,282,282,503,502,649,501,651,503,500,500,502,121,504,800,800,500,501,649,649,500,800,503,282,502,501,503,649,178,503,649,705,501,800,503,107,501,499,649,503,501,500,502,501,800,503,967,503,502,501,503,649,649,800,649,282,500,800,502,500,493,358,318,502,102,522,197,501,282,649,282,649,762,503,501,282,800,503,649,503,500,800,500,500,654,502,500,500,649,800,246,503,282,501,502,501,501,16,649,649,16,502,504,501,501,500,500,800,500,103,313,649,500,502,502,16,103,500,16,501,503,503,501,800,800,500,649,501,800,500,893,282,502,649,649,649,282,501,643,649,16,500,649,282,800,28,649,16,649,500,305,502,282,800,500,282,78,282,610,501,500,282,649,503,800,504,500,282,503,649,800,502,16,649,800,500,606,500,107,282,500,649,502,649,503,218,282,500,501,501,502,649,502,500,282,775,503,641,800,649,800,800,502,282,800,800,503,800,282,16,502,16,649,501,32,649,504,800,282,504,503,800,501,503,502,800,503,502,503,649,800,649,800,503,282,649,649,781,649,719,501,501,500,501,649,502,649,800,16,282,800,500,503,502,503,873,502,705,503,649,500,502,503,649,800,800,503,282,282,227,649,504,649,800,860,503,860,501,649,500,503,503,282,502,501,649,504,503,649,282,501,800,502,502,503,800,800,649,89,649,502,502,800,800,649,501,503,501,503,649,503,282,502,502,503,16,500,284,649,500,501,800,800,16,800,501,502,503,451,500,501,282,649,837,912,503,800,501,16,576,501,282,649,500,710,500,501,500,800,501,500,649,800,502,464,16,503,800,649,502,649,503,501,501,502,501,500,649,282,649,282,501,500,501,649,502,649,842,502,649,502,501,969,649,503,398,501,500,655,502,501,282,500,500,800,502,107,107,282,503,649,503,800,503,504,475,107,503,501,649,282,800,501,501,500,800,503,501,649,500,566,502,649,282,503,502,800,500,649,501,504,16,800,502,681,800,500,800,282,800,800,500,545,500,800,16,649,927,638,649,503,649,480,503,282,649,282,649,800,501,501,739,501,502,501,649,502,501,500,282,282,649,502,502,503,503,649,502,800,500,998,406,78,501,282,429,502,501,649,613,503,649,501,500,500,754,500,282,649,282,516,501,16,568,282,502,502,16,81,800,503,502,649,649,649,649,888,503,800,649,502,503,500,501,800,800,502,875,502,649,501,500,800,504,500,501,500,107,501,800,649,282,501,282,500,500,107,593,504,536,532,800,265,501,649,502,107,649,282,345,649,501,503,560,649,503,800,500,503,501,501,501,800,501,500,282,649,500,800,504,800,992,722,501,503,502,501,502,800,500,500,800,501,649,282,282,502,502,500,502,500,282,800,282,502,16,503,649,800,502,503,686,501,504,503,800,800,500,500,503,500,502,649,500,501,500,579,503,502,800,503,501,800,501,501,500,504,503,800,649,502,800,500,282,502,500,500,503,800,501,500,649,103,502,501,1,649,649,501,800,503,282,503,501,500,800,800,16,282,649,590,503,504,800,502,800,67,282,501,500,468,502,503,503,282,500,502,503,500,800,460,649,501,282,501,649,800,282,649,502,500,16,500,502,503,823,800,18,649,800,501,649,500,649,501,503,103,503,501,502,501,282,504,502,16,35,16,649,649,501,503,503,502,502,502,500,503,501,500,502,649,649,501,428,54,800,503,649,800,282,503,649,502,800,321,649,800,800,916,503,503,282,600,800,502,16,923,500,502,800,500,503,649,502,757,103,502,501,500,800,503,500,456,16,503,800,501,502,500,500,649,488,500,500,503,800,649,551,943,501,501,503,282,649,605,505,800,500,500,649,961,282,145,649,649,501,502,649,649,503,503,502,503,649,191,482,356,501,503,503,500,282,501,501,680,502,582,282,282,502,824,502,502,16,800,503,348,404,501,649,649,500,500,800,503,22,523,502,649,800,502,283,649,500,500,282,302,502,500,501,500,16,800,502,649,501,500,107,649,800,649,800,409,502,282,800,282,649,800,502,800,502,800,502,502,800,502,282,649,501,766,500,282,800,800,282,649,800,800,16,502,503,800,502,500,16,705,502,500,649,503,500,502,503,16,503,649,282,502,500,503,502,501,649,500,500,282,503,503,649,501,800,502,502,649,551,559,501,501,503,504,503,501,500,502,800,816,503,16,503,502,502,502,719,503,16,800,282,282,282,135,800,800,800,501,503,503,504,282,712,282,989,16,16,649,649,965,503,502,282,649,785,502,800,503,504,503,502,500,152,503,501,16,282,503,800,500,503,800,503,500,500,503,649,500,502,800,926,40,800,500,800,649,500,723,511,649,649,649,500,800,501,502,503,500,501,282,502,649,503,282,503,502,502,501,282,503,502,501,501,503,501,282,502,902,167,649,649,503,973,502,800,500,800,500,502,500,274,20,742,649,503,502,503,649,502,501,649,800,501,500,503,501,501,504,500,500,800,501,282,649,16,649,723,500,742,831,502,141,16,501,800,649,16,649,16,500,500,503,430,195,160,501,800,500,502,649,649,800,800,502,293,800,478,503,500,502,800,501,649,502,502,503,502,504,649,502,649,501,502,501,503,502,282,502,800,502,601,503,501,501,501,502,503,502,500,500,503,649,500,502,800,800,501,503,500,500,649,800,502,500,16,501,800,656,649,649,501,501,89,649,649,282,500,744,503,724,800,501,501,649,548,501,503,502,502,800,649,502,501,502,500,800,500,501,800,649,503,503,649,335,500,800,657,16,501,800,16,501,500,503,814,500,503,94,502,504,800,282,503,775,649,521,500,16,370,16,500,649,501,501,502,500,649,503,282,649,500,807,500,282,649,282,501,503,503,262,500,649,649,649,501,500,500,500,649,503,130,503,807,781,500,504,641,649,800,503,501,649,800,502,501,502,501,800,282,649,502,502,649,503,649,482,503,16,649,501,800,503,501,855,282,800,800,800,500,579,649,501,649,502,800,503,282,649,282,800,34,282,501,649,649,503,800,502,500,38,502,16,503,501,503,502,800,879,503,282,500,411,282,649,503,800,501,282,282,501,501,503,501,501,800,503,501,282,502,649,649,800,800,800,504,500,502,501,503,500,800,502,500,503,800,800,282,106,501,503,501,649,503,800,800,503,504,282,503,800,16,282,282,282,794,503,649,800,503,649,649,649,501,649,649,800,503,800,649,501,800,501,282,502,503,282,800,501,296,800,503,953,69,649,649,384,16,503,800,282,500,282,500,282,504,343,893,649,503,800,502,503,503,649,282,500,649,500,16,501,500,305,282,503,501,649,649,282,502,649,282,501,500,501,107,26,923,642,502,203,502,501,649,649,527,500,503,800,282,649,501,691,500,502,502,649,282,16,502,500,305,935,502,503,649,502,800,502,502,649,502,500,502,503,904,282,800,282,501,501,16,503,103,967,501,503,502,800,503,503,16,800,503,502,800,366,282,16,500,800,500,501,501,503,501,441,503,503,503,500,503,282,800,649,502,16,502,800,789,800,481,800,649,47,800,800,519,282,282,501,649,649,984,496,501,500,107,812,502,800,649,501,500,501,282,282,500,502,501,282,282,800,800,955,501,503,502,800,282,203,16,500,16,503,500,16,276,503,500,502,501,502,502,500,800,501,500,503,282,800,502,502,597,311,503,107,800,282,800,649,800,800,282,595,500,649,503,502,501,353,649,107,502,649,604,501,502,43,502,503,800,501,800,501,282,282,16,680,501,282,503,282,501,800,501,649,502,800,500,502,503,800,649,503,500,500,501,501,289,929,886,103,503,501,501,500,503,501,100,282,500,282,503,758,503,500,16,282,850,800,452,802,502,501,800,500,503,502,501,16,503,788,800,107,649,282,649,502,282,502,502,503,282,500,501,500,800,502,501,501,502,649,800,503,502,800,103,649,14,503,500,800,503,500,649,298,500,503,503,503,502,282,800,447,800,649,800,800,800,858,953,800,800,502,282,813,649,502,503,561,649,107,282,501,649,16,502,916,500,649,503,503,502,501,649,282,500,107,503,502,500,361,500,502,503,501,649,503,502,500,649,16,800,502,501,501,501,613,502,500,500,282,501,502,501,501,500,282,500,635,506,80,800,501,800,503,501,503,502,500,800,282,501,800,501,502,500,800,500,501,500,800,502,282,500,649,501,500,995,503,800,800,501,501,649,413,73,16,800,503,500,649,501,165,649,501,649,500,503,503,501,800,503,800,503,501,282,504,501,16,502,800,503,502,800,807,503,59,138,649,16,500,649,501,502,282,503,649,649,501,800,718,500,800,769,500,629,649,16,800,649,298,503,503,503,373,500,504,800,503,649,800,282,500,17,502,649,500,502,500,501,800,649,800,800,655,282,649,502,501,501,649,800,503,649,504,504,502,649,913,649,502,504,501,282,649,649,503,500,282,501,800,500,282,500,519,800,16,503,502,800,500,800,502,502,282,197,503,501,649,880,860,282,800,503,16,501,206,282,800,503,501,800,501,500,502,649,502,502,501,282,282,314,503,800,946,649,504,16,500,825,503,649,800,800,500,805,503,800,503,16,800,504,502,503,502,500,800,502,519,502,501,282,16,103,503,502,503,800,503,503,649,503,649,142,23,501,504,501,526,800,500,502,239,342,649,502,649,282,16,501,503,502,705,800,501,501,800,997,907,800,514,367,502,500,294,501,500,678,649,800,649,583,649,503,649,649,500,649,394,282,500,503,800,500,500,800,502,500,282,420,649,649,800,800,501,16,539,649,649,107,500,503,800,88,800,501,500,500,501,500,503,503,500,500,501,501,649,501,649,500,503,800,282,504,503,800,500,649,503,738,502,503,501,267,503,503,502,800,16,502,649,282,502,502,800,500,16,649,800,502,501,649,649,826,649,800,649,500,502,502,501,501,649,282,311,800,501,800,502,503,649,502,501,272,500,500,502,649,503,501,282,500,500,501,500,649,501,649,630,113,500,474,959,800,649,503,501,504,554,500,465,800,500,282,501,800,616,503,649,200,800,649,282,282,649,502,282,16,354,649,504,934,649,503,503,800,502,502,649,500,649,649,501,501,500,282,500,501,107,16,601,500,503,500,906,500,503,501,114,705,502,800,501,282,502,347,990,649,502,800,501,800,502,500,464,584,282,649,501,950,800,800,107,649,501,502,503,500,501,282,874,500,503,500,501,343,500,502,217,500,705,649,500,800,502,800,500,16,503,649,649,501,800,800,500,282,649,282,649,503,503,192,677,503,16,649,502,502,800,503,469,502,503,16,502,501,282,649,800,454,649,500,503,501,951,152,649,501,502,800,502,501,649,500,503,649,649,649,649,503,800,801,500,800,800,649,512,800,500,500,502,501,16,503,282,503,322,800,317,571,863,313,503,503,800,282,501,649,800,649,649,503,503,649,500,166,502,74,649,282,501,800,649,800,857,501,503,800,649,337,503,504,649,502,285,16,501,800,282,800,500,939,500,649,800,584,501,282,503,282,611,800,649,282,628,501,800,649,649,501,501,800,503,504,649,905,503,147,503,340,649,500,501,800,800,800,649,800,500,649,502,500,800,649,500,501,503,649,649,500,800,165,500,107,500,501,502,807,502,502,988,500,282,174,16,502,503,502,999,684,123,502,561,282,502,503,800,800,649,800,504,503,700,484,649,503,502,800,800,500,500,528,500,501,337,501,500,800,503,16,282,800,649,502,800,503,282,502,501,800,70,649,501,16,502,649,500,503,522,501,500,503,649,649,502,503,502,800,501,500,502,800,800,800,501,854,500,500,487,416,503,500,649,502,424,438,282,649,649,502,800,649,503,800,501,142,503,649,500,800,649,16,282,501,500,502,282,294,503,16,100,234,107,282,800,964,501,800,503,800,500,253,502,649,501,504,501,214,500,800,502,502,501,500,500,501,16,503,502,503,649,503,503,800,317,501,501,132,503,780,500,500,504,501,800,16,504,649,504,649,500,16,649,500,501,503,500,501,502,16,502,501,500,800,503,501,501,503,649,649,649,901,649,503,501,649,649,500,500,800,282,503,916,649,500,784,398,16,649,500,274,503,649,504,503,500,800,800,502,717,599,649,503,718,502,500,502,910,501,501,502,103,501,354,501,502,503,282,502,500,500,800,282,503,501,501,649,500,649,503,500,649,228,502,502,500,649,501,501,503,800,502,500,107,649,800,800,501,503,649,501,649,503,649,800,800,500,501,282,502,503,502,649,800,501,800,504,501,502,500,501,800,800,649,501,504,500,501,500,500,649,42,500,501,503,16,501,504,503,504,649,493,252,209,501,317,501,649,800,633,736,504,503,649,800,502,800,225,503,502,800,500,501,800,504,649,502,282,500,502,282,563,500,500,502,800,503,800,800,500,502,503,649,282,282,649,16,503,500,63,649,800,800,501,800,16,163,503,800,16,500,800,800,282,501,649,501,282,53,649,153,765,800,649,800,649,501,282,502,502,800,800,503,649,649,504,502,501,282,502,212,38,607,501,502,282,810,800,500,800,503,282,501,500,800,503,76,502,501,500,503,649,649,502,649,800,800,500,503,501,848,503,503,503,503,649,649,649,800,649,16,649,501,107,16,649,502,103,501,500,649,502,500,503,503,282,103,500,649,500,504,649,500,164,800,649,800,282,502,503,800,649,502,502,500,500,649,649,649,649,16,502,800,649,800,616,957,500,903,800,502,501,800,503,501,362,501,503,501,503,800,649,824,947,503,282,502,500,501,501,500,500,503,800,649,649,800,649,649,500,500,502,502,800,501,282,500,107,649,500,501,502,503,649,502,741,649,55,502,502,503,280,649,502,500,649,800,500,502,500,44,347,800,311,649,654,501,500,500,800,705,502,988,501,500,16,504,549,502,649,503,800,800,649,16,299,501,282,800,800,649,649,800,800,503,500,501,287,800,503,649,800,107,649,500,800,800,288,649,649,503,500,800,502,500,501,649,500,502,501,502,809,476,649,501,501,501,502,800,501,501,800,501,500,503,199,564,502,649,265,800,649,500,282,649,282,16,502,502,503,502,649,503,855,500,501,800,502,500,502,503,503,502,503,800,649,503,502,501,502,502,649,501,502,104,282,501,503,649,502,502,503,800,500,800,503,501,800,649,500,502,501,501,800,800,649,500,282,800,503,649,649,649,501,800,501,502,501,60,501,504,649,503,282,132,501,502,503,500,895,502,713,502,500,800,503,649,282,282,501,500,279,649,207,500,222,503,502,649,504,282,649,476,800,426,502,501,502,649,282,500,616,800,501,502,424,503,800,800,800,649,800,800,800,482,502,502,800,649,500,503,282,501,503,282,500,282,502,500,504,501,500,529,502,504,502,503,501,238,500,500,503,649,503,502,625,526,800,16,800,282,282,501,502,240,282,649,800,502,649,501,503,500,800,41,501,503,183,503,500,500,500,500,500,501,282,996,501,500,503,649,649,649,503,502,800,282,282,500,500,502,493,800,500,800,649,502,649,16,501,282,501,503,500,500,501,649,500,649,649,502,665,501,800,99,624,503,500,649,504,282,800,502,503,800,282,503,501,649,16,502,649,502,780,352,501,282,282,282,500,282,500,503,501,503,503,649,643,502,500,503,452,282,800,502,503,369,800,502,282,500,503,16,521,501,501,503,501,503,649,286,800,161,800,502,504,501,503,436,649,501,503,156,502,649,800,800,500,649,501,165,502,500,107,503,705,282,649,282,23,503,157,502,800,501,501,282,502,649,800,649,501,800,649,800,501,800,501,155,500,649,800,501,502,797,502,649,501,500,800,800,800,500,282,649,502,501,649,649,503,649,500,800,649,503,800,542,503,500,282,503,354,500,502,501,58,649,502,705,501,501,282,649,501,649,20,502,502,503,501,211,649,800,501,282,675,649,500,501,800,282,800,503,502,649,649,502,800,282,503,503,501,107,649,501,502,502,4,649,312,282,501,800,500,501,503,500,503,126,800,500,225,502,503,107,282,282,500,500,33,16,501,500,500,649,282,649,649,503,502,500,502,282,621,649,501,502,271,500,501,502,705,501,649,425,16,503,800,503,800,282,500,503,649,502,16,800,500,827,353,502,800,174,800,16,702,977,501,16,800,107,800,502,502,968,649,649,501,800,649,503,16,16,503,503,649,500,649,16,649,502,501,16,649,501,696,800,755,503,503,800,649,501,500,502,649,649,800,501,501,501,500,501,196,501,501,503,700,800,503,649,502,107,503,503,500,500,800,486,503,501,502,501,649,503,800,504,502,955,503,831,282,282,503,107,282,649,649,501,282,500,566,282,502,502,649,501,500,282,649,502,524,800,330,649,501,800,501,502,649,500,502,282,501,502,800,282,800,503,503,500,500,800,800,282,502,500,649,424,503,500,503,800,649,800,501,503,166,500,503,503,800,517,503,208,500,500,649,649,502,500,501,649,107,501,500,502,503,800,649,401,502,220,500,500,195,649,503,282,501,613,500,500,503,503,282,649,501,820,649,502,834,501,501,649,649,16,500,501,649,282,282,502,689,649,16,501,612,282,16,800,649,501,800,16,501,477,617,500,800,800,501,500,649,282,16,649,503,500,500,503,984,800,698,800,504,649,504,500,503,500,282,649,501,800,502,500,649,502,500,736,649,800,503,800,503,500,500,903,500,503,649,472,500,800,502,502,800,649,503,649,649,503,502,649,800,501,800,800,501,800,502,797,800,501,503,800,501,800,800,502,582,649,317,500,649,990,800,501,503,800,502,502,103,720,503,501,500,649,501,649,16,197,649,501,500,800,502,503,166,501,502,972,501,800,503,232,16,308,649,915,282,500,806,503,800,503,500,503,500,500,800,500,800,800,500,886,501,500,501,649,502,800,282,800,282,500,501,100,649,502,800,501,649,858,800,800,800,504,501,500,501,501,800,282,501,282,800,502,800,503,501,1000,504,503,807,500,282,807,649,501,800,282,649,16,408,282,501,282,503,774,282,503,502,800,500,467,732,501,504,614,503,500,649,503,500,503,503,500,501,503,649,500,800,800,504,503,800,501,504,503,504,503,503,504,41,501,500,500,501,815,649,681,501,800,500,879,16,501,501,800,909,365,282,500,501,503,649,903,282,502,500,503,503,800,800,502,744,501,500,649,500,500,449,501,503,501,504,754,501,854,282,649,502,502,800,500,216,800,282,649,501,502,503,282,800,500,500,649,649,282,282,500,503,500,500,500,649,502,501,538,500,800,502,500,502,649,501,502,17,649,501,503,503,500,800,649,781,502,502,649,501,502,16,501,501,649,502,649,503,501,800,500,931,501,503,502,501,800,504,502,503,500,208,503,649,501,502,16,502,282,500,501,345,282,500,500,800,500,501,503,469,501,282,125,373,199,503,800,649,501,500,500,502,800,500,501,502,478,800,503,502,914,500,500,502,800,282,282,500,800,649,891,501,649,501,800,649,282,480,649,282,500,965,500,800,502,282,501,687,169,501,800,800,282,649,800,649,503,500,800,89,502,502,301,16,649,282,502,503,649,649,800,502,649,398,502,649,501,986,36,800,800,502,800,282,501,800,503,503,503,649,501,501,503,501,503,503,503,16,502,800,282,503,800,503,501,800,800,502,503,500,282,282,145,649,800,501,502,649,502,800,649,501,503,19,649,501,649,16,649,800,649,501,649,649,500,502,937,503,800,501,282,501,282,501,239,501,502,649,800,503,502,649,500,800,503,500,500,501,649,16,501,501,501,501,502,731,501,16,503,649,649,800,501,503,638,16,502,501,649,319,107,800,282,282,500,98,502,502,16,502,16,649,500,16,503,282,649,503,265,800,367,500,500,649,16,500,800,500,649,500,649,16,503,500,799,500,52,649,575,502,502,500,649,501,282,827,649,282,345,800,649,703,649,800,500,699,503,502,502,984,16,107,503,16,502,500,800,503,504,501,501,800,500,696,500,649,503,572,594,501,282,500,501,500,500,282,800,501,500,16,649,800,800,501,501,686,500,649,282,501,447,501,282,432,503,502,800,282,502,501,500,282,502,909,282,503,501,500,500,856,649,501,282,503,503,503,500,500,501,800,189,500,500,649,501,501,800,502,501,500,503,780,800,503,800,596,500,253,502,724,649,502,800,502,500,649,649,501,16,501,503,503,649,503,282,649,881,800,504,649,502,500,503,502,649,649,502,500,761,503,800,504,531,637,503,465,502,855,16,503,501,500,704,649,649,807,501,775,503,500,690,500,800,500,502,504,800,136,500,503,500,482,502,501,502,503,501,649,503,500,501,800,282,107,504,282,800,500,500,10,800,800,649,502,649,925,662,16,800,500,16,501,501,502,504,500,800,841,500,282,501,501,500,800,501,502,649,282,503,502,500,501,501,282,500,501,649,501,16,364,503,503,502,503,502,282,504,500,16,282,800,649,500,705,114,649,500,800,500,282,503,282,501,800,504,500,501,500,664,502,417,504,503,500,500,503,611,927,649,502,500,500,500,282,500,649,824,502,800,501,502,800,282,501,501,282,800,800,502,800,503,649,502,500,949,800,501,502,16,501,503,16,502,500,502,757,500,649,500,800,500,330,501,649,147,649,501,503,500,16,800,649,502,799,502,501,500,500,16,988,16,501,502,800,649,500,500,502,649,773,800,649,183,649,503,16,800,501,800,504,649,500,500,882,649,502,16,957,398,500,649,500,16,282,705,649,500,501,503,649,44,503,649,502,502,500,282,502,649,503,504,493,282,501,500,500,501,501,503,502,501,503,800,649,649,282,500,16,107,282,502,16,503,503,649,503,649,282,100,501,282,501,502,800,502,649,800,16,649,649,649,807,649,716,410,16,501,800,16,282,503,800,649,282,800,503,649,809,174,756,502,16,649,800,781,501,503,800,503,502,649,500,649,502,705,303,503,800,501,712,649,800,503,16,786,649,502,733,501,16,503,649,504,282,16,55,107,500,807,649,500,800,282,501,175,502,496,16,103,503,103,502,500,649,649,16,800,451,501,649,800,800,800,504,502,282,500,503,649,649,800,649,502,800,501,503,649,502,503,500,500,282,282,500,503,501,282,39,503,367,649,501,500,649,437,503,502,800,503,501,996,500,649,501,504,502,675,502,500,929,265,501,501,502,500,800,649,502,501,500,282,282,16,285,628,942,501,500,282,800,503,502,503,649,501,501,664,500,649,649,282,501,501,502,500,502,530,500,503,502,649,800,502,502,501,282,428,800,16,502,502,501,501,649,800,502,504,305,503,649,263,503,500,503,800,501,784,330,502,800,83,500,500,501,92,800,800,502,649,649,502,501,649,649,282,501,500,503,829,649,16,501,800,282,503,500,525,500,501,282,501,649,500,282,649,107,800,500,502,503,500,500,649,800,800,282,824,500,800,800,503,282,501,502,800,4,649,282,500,649,502,501,282,282,649,157,845,649,649,16,500,501,282,503,500,503,501,649,503,330,500,282,800,503,503,800,502,800,501,575,501,282,504,814,500,500,502,649,503,649,503,504,800,500,649,676,282,502,800,501,649,865,503,501,649,649,800,800,282,460,500,800,504,649,500,649,800,800,800,411,355,500,501,502,800,282,649,501,800,103,282,16,501,500,502,504,282,649,503,500,164,800,800,649,800,800,502,684,649,800,649,649,503,649,908,501,649,377,649,504,282,500,503,800,500,502,800,99,500,800,952,501,330,503,649,500,415,504,259,649,501,649,502,503,501,502,503,504,502,502,503,503,282,800,800,502,282,649,501,800,282,503,905,502,500,469,282,503,156,800,503,502,500,503,501,503,501,500,500,500,282,502,800,649,503,649,501,282,16,649,501,293,282,501,377,503,800,503,282,649,800,523,501,282,875,503,501,800,503,103,800,649,501,386,107,282,503,503,103,676,504,649,649,967,16,501,196,800,501,649,282,502,649,800,501,282,282,501,870,800,800,800,502,282,483,557,503,649,16,500,16,282,504,800,800,503,282,500,649,800,800,502,649,501,501,501,504,500,649,501,649,282,282,502,800,125,800,800,800,503,191,357,15,694,503,649,502,788,504,501,502,705,502,500,649,387,713,649,500,800,502,500,800,16,800,800,167,503,501,501,257,501,800,501,503,282,502,502,282,893,503,500,501,282,502,282,501,282,800,107,282,691,649,800,649,501,800,503,649,649,501,282,502,503,800,502,504,800,503,500,649,501,16,502,502,503,800,502,282,649,503,503,500,500,800,502,969,16,503,705,282,282,644,369,20,282,88,501,501,504,800,501,16,649,705,502,502,343,16,649,503,502,500,800,502,282,204,649,649,282,500,500,501,282,500,503,800,500,33,800,501,649,319,502,501,649,649,800,800,16,500,502,800,613,502,500,502,503,502,503,502,502,191,503,800,694,501,501,501,504,649,800,800,500,282,500,649,502,503,500,500,504,329,502,649,503,501,500,502,503,502,503,800,282,800,649,500,502,501,800,800,500,800,502,649,502,649,503,67,562,500,501,503,500,800,649,649,800,500,800,500,504,800,500,800,500,282,282,649,800,649,503,501,282,649,649,501,800,885,800,502,649,503,500,500,502,500,501,502,500,501,501,56,500,800,649,649,503,282,282,814,503,800,649,501,177,282,501,800,504,502,282,107,433,502,501,503,502,654,503,500,282,282,502,846,982,649,284,282,502,649,649,502,649,649,282,649,502,500,800,649,502,503,503,502,500,500,500,649,636,501,501,503,800,503,503,800,740,503,282,649,31,501,503,800,500,502,501,503,16,503,503,800,500,503,500,832,16,800,539,503,500,649,219,500,800,501,16,500,501,501,502,504,649,800,502,649,649,501,282,500,800,800,649,800,282,282,503,897,503,216,502,282,800,16,16,502,800,649,453,501,502,501,500,502,503,649,899,282,800,503,502,600,500,103,649,501,800,503,282,502,800,501,649,500,500,649,500,649,503,282,501,282,501,179,503,800,501,501,649,500,800,504,502,282,408,501,500,502,500,500,649,16,500,649,503,502,800,627,503,500,503,282,649,649,503,501,800,502,16,649,503,502,649,503,500,649,501,649,502,56,649,501,501,649,500,501,800,649,502,800,649,503,502,501,842,501,502,500,500,503,500,500,500,649,16,379,649,855,282,649,501,16,205,500,800,502,501,439,500,500,504,501,800,282,502,500,649,501,649,500,503,501,503,649,282,800,282,500,503,501,800,503,800,800,800,649,800,503,118,649,800,282,800,800,649,649,282,500,282,649,501,503,800,800,282,21,501,502,500,502,502,800,502,586,649,800,649,484,313,282,500,800,501,503,500,16,501,649,503,501,495,16,800,282,800,848,503,282,282,800,501,502,501,502,502,282,800,800,500,502,48,649,500,649,315,502,502,503,502,501,927,649,282,649,13,503,500,503,648,502,800,502,282,217,103,500,503,649,500,502,619,649,503,282,502,649,504,35,502,502,500,501,649,501,475,501,649,500,16,800,800,800,501,649,503,501,797,282,501,502,800,503,502,800,503,282,282,649,649,649,173,500,502,649,502,649,254,282,800,800,500,500,503,282,800,800,737,500,500,501,649,649,649,800,503,501,500,800,16,502,500,500,500,502,800,500,475,501,500,800,503,800,500,500,502,649,339,800,16,434,282,16,925,282,510,306,749,503,501,501,502,503,800,502,568,178,800,502,649,502,502,501,649,649,504,800,103,503,89,16,501,800,649,649,982,649,500,891,503,501,591,649,649,503,649,502,504,800,800,501,500,649,500,503,502,500,501,649,800,500,891,800,502,800,649,649,502,502,800,282,649,500,500,501,503,800,500,500,706,107,503,282,502,282,500,500,649,500,502,16,500,800,501,503,800,503,649,942,503,503,875,649,501,16,282,649,649,649,500,503,649,16,399,503,181,282,246,503,800,503,501,649,502,649,503,503,501,800,649,503,107,727,501,78,808,800,282,501,649,649,649,800,491,800,800,649,502,282,180,501,800,649,501,501,16,501,817,501,649,103,501,502,502,649,649,107,800,649,502,649,500,800,500,500,502,800,503,501,586,16,800,500,500,503,501,502,475,107,282,282,649,501,502,800,501,504,800,500,282,504,503,500,501,503,502,502,500,649,217,502,502,16,761,16,800,502,501,671,501,236,282,649,282,501,800,141,16,875,501,501,502,649,500,502,503,501,502,282,83,500,501,649,223,503,501,502,503,649,375,502,503,103,314,501,939,501,649,502,159,503,503,282,502,16,800,881,800,282,501,501,501,649,501,502,501,16,649,500,800,282,649,282,500,800,800,502,502,503,221,800,649,103,800,800,282,368,502,282,282,502,800,502,501,502,16,649,800,501,501,503,503,500,649,649,887,502,502,800,649,800,649,282,501,503,500,500,500,800,282,503,800,502,282,500,503,502,800,503,503,434,282,502,649,503,649,502,501,282,282,503,282,502,282,500,800,584,504,500,16,282,282,282,503,800,503,800,800,654,617,800,502,753,705,503,800,501,501,500,282,503,611,502,336,500,282,501,800,282,192,800,502,800,500,729,16,649,502,800,649,501,800,502,503,502,500,800,847,503,502,503,740,501,282,154,16,203,649,16,649,502,503,500,500,503,501,503,503,502,501,503,649,282,500,500,649,503,800,502,649,606,649,500,501,500,103,503,123,535,282,502,500,501,649,282,282,800,503,504,649,649,107,800,500,502,649,501,649,500,800,502,356,500,502,501,441,282,800,503,501,502,500,16,501,500,185,103,502,503,500,107,502,500,502,649,800,501,800,502,16,800,503,800,502,500,501,613,259,230,500,800,502,500,503,502,649,500,800,500,889,502,800,501,705,800,503,16,103,502,500,649,800,500,503,800,800,800,503,800,501,649,649,500,500,500,282,500,801,502,503,967,649,500,500,649,500,649,503,800,501,501,649,500,502,800,649,501,671,502,800,501,800,72,163,649,503,649,800,16,16,500,800,394,649,500,501,800,649,502,68,800,80,501,649,503,282,800,131,136,649,501,103,500,504,282,503,500,504,705,908,800,501,500,800,502,500,649,503,504,503,800,282,501,503,503,800,16,143,503,501,16,288,16,649,503,103,502,504,16,500,649,500,649,103,504,800,649,503,800,800,500,503,502,800,500,502,282,503,409,500,800,255,500,334,500,501,532,390,503,503,503,502,649,527,800,503,16,500,500,800,649,501,504,501,503,503,502,501,503,502,501,502,502,501,908,500,500,282,500,502,649,500,500,502,649,649,649,800,649,491,501,806,501,501,502,500,649,204,502,503,649,649,649,503,500,220,194,500,800,800,293,501,503,72,500,649,502,800,649,500,500,501,69,503,649,500,503,278,649,503,649,502,282,500,502,649,282,282,131,500,649,282,500,502,500,282,501,503,500,753,800,502,107,502,504,503,503,500,472,500,502,501,16,649,800,800,324,500,282,282,500,500,503,503,500,800,649,649,501,503,503,501,800,502,282,503,282,539,649,502,282,282,500,500,501,649,649,502,502,16,800,503,800,1,503,649,649,602,503,282,649,649,502,501,800,703,500,503,649,649,570,103,282,503,504,282,501,501,501,649,649,649,800,16,502,800,503,263,503,503,282,649,16,502,501,502,16,649,502,225,501,800,800,203,502,649,800,800,649,800,282,649,282,503,501,500,800,943,503,503,16,649,649,501,503,800,501,503,800,16,800,503,502,800,800,503,503,282,501,800,234,500,550,282,16,502,502,502,503,502,503,503,814,500,500,501,503,649,649,465,500,16,500,282,502,501,800,103,501,800,649,649,501,649,502,649,649,503,800,16,503,503,38,800,502,500,504,503,800,649,501,649,502,800,502,500,359,800,503,282,311,90,649,503,503,16,501,502,649,503,800,501,649,649,502,500,649,502,501,503,503,502,502,282,649,500,800,282,503,500,679,503,649,539,502,501,649,649,687,500,649,500,649,500,16,800,282,501,800,800,502,504,458,500,399,361,501,502,800,800,800,502,27,982,501,501,381,800,800,500,502,503,501,800,804,800,500,630,501,502,503,500,103,504,800,649,500,503,800,503,500,501,502,501,501,649,800,502,649,800,16,500,503,500,502,504,933,503,282,500,503,299,502,500,502,800,503,501,356,677,282,800,501,16,502,500,649,500,503,306,800,503,500,503,500,408,501,503,503,500,800,577,282,486,503,503,282,800,800,16,282,593,501,830,503,282,19,969,800,503,800,107,501,282,501,502,16,500,112,501,503,503,501,468,713,800,649,503,500,282,502,800,282,503,503,979,501,671,503,800,500,503,502,502,504,612,503,501,500,678,254,596,800,282,500,500,800,16,500,503,649,800,502,503,800,275,500,296,800,500,503,501,20,502,503,649,500,503,136,501,800,504,503,649,502,649,502,283,501,501,503,16,784,503,840,282,649,503,282,282,504,649,502,500,649,282,282,501,503,800,649,500,624,502,503,500,649,282,16,649,500,126,501,911,500,499,502,502,500,504,500,500,502,918,649,500,502,800,683,501,16,800,503,819,483,223,503,42,282,766,649,500,500,868,282,800,649,504,530,800,501,503,649,502,501,757,107,502,502,425,500,800,265,503,282,649,800,500,502,503,282,282,121,500,501,503,502,649,16,16,649,649,500,503,502,500,500,501,500,502,503,501,16,649,764,800,502,649,502,23,501,502,501,649,800,500,502,501,503,523,500,649,503,503,502,503,480,282,800,393,501,502,500,703,852,502,501,502,503,500,282,502,500,282,800,501,500,501,569,282,649,51,649,649,501,501,705,449,800,503,800,165,800,807,502,501,649,578,16,800,503,800,502,649,16,800,502,500,800,503,122,503,502,800,800,503,863,502,649,649,501,500,503,502,800,503,503,501,282,503,502,649,502,500,800,502,500,282,503,500,502,800,649,500,649,649,800,501,282,649,408,500,500,107,504,503,649,800,282,502,501,800,800,16,282,589,503,800,500,776,502,500,649,501,501,503,405,119,331,649,502,503,649,500,500,789,800,649,501,503,649,16,16,502,304,502,500,649,800,800,800,502,800,503,800,500,800,503,354,502,501,503,501,649,504,501,800,501,649,500,503,501,500,107,500,800,800,503,282,649,503,800,500,503,500,282,504,503,75,503,282,649,500,502,649,649,800,502,800,501,501,503,503,649,503,282,103,282,500,800,800,500,503,680,501,649,501,501,501,649,503,800,649,501,503,502,503,500,800,500,73,501,503,649,502,502,500,898,426,649,501,2,502,502,502,679,647,16,856,800,103,800,500,503,502,697,501,501,649,16,503,800,649,800,500,800,649,501,502,500,500,800,503,282,282,500,800,282,500,501,800,500,800,502,502,649,500,282,800,503,502,500,500,800,282,800,16,502,504,16,649,501,282,649,282,800,502,503,649,282,995,649,649,500,501,649,800,503,501,800,512,501,500,800,800,16,502,503,502,502,800,800,503,501,501,649,502,502,100,501,501,502,800,502,127,502,501,501,800,501,359,500,800,800,502,500,282,282,800,503,800,501,282,649,502,502,940,500,502,282,223,800,500,649,503,502,502,800,501,502,500,500,800,493,500,800,501,501,503,500,500,500,502,502,800,500,503,500,649,649,55,16,282,500,501,503,504,649,80,502,649,800,500,501,503,992,500,667,503,500,282,282,502,503,502,518,500,502,653,502,503,800,503,502,800,501,800,140,800,502,733,649,282,649,225,282,282,649,501,500,649,800,859,500,16,501,503,501,500,503,501,500,649,503,501,800,502,800,587,649,657,503,502,870,502,16,500,649,800,501,502,503,502,503,854,649,502,282,800,503,800,501,500,800,2,16,500,931,501,800,502,328,649,282,503,500,501,800,649,649,501,502,502,800,503,501,800,502,501,502,282,160,282,282,649,282,500,193,800,649,502,503,502,800,107,503,282,502,282,500,649,16,127,800,501,876,800,503,502,800,500,504,504,649,800,282,501,800,800,503,705,503,685,800,649,800,500,649,501,552,649,502,282,502,502,800,282,16,501,120,16,800,500,800,502,800,103,667,800,502,734,963,503,800,649,44,502,502,927,649,503,503,501,460,800,649,662,502,649,501,190,503,800,134,501,502,501,800,500,820,529,734,16,500,501,501,800,501,501,800,503,502,535,800,500,501,502,649,502,501,500,500,501,500,500,16,282,500,283,504,503,504,649,16,502,502,254,503,503,497,502,503,503,282,500,800,502,500,556,501,649,282,800,503,800,649,800,502,800,502,322,502,502,282,503,502,800,500,502,800,649,503,800,503,503,503,503,501,103,649,800,501,500,500,504,500,501,501,16,649,502,282,800,519,503,503,501,503,503,649,800,649,800,503,502,504,501,103,475,800,503,503,502,503,649,649,502,107,282,800,263,500,103,503,501,500,502,503,625,649,282,504,502,282,282,649,504,649,438,502,502,502,16,502,500,503,800,266,502,484,502,80,239,501,800,500,107,500,16,500,503,16,500,502,503,501,282,649,16,766,501,501,800,282,282,503,649,800,500,502,502,800,503,502,649,649,502,500,553,649,800,649,502,500,502,16,502,282,503,504,500,500,800,338,800,502,503,503,501,503,649,503,649,787,649,501,282,649,351,502,500,502,649,501,503,504,502,800,374,501,488,643,503,282,878,501,807,800,282,503,661,501,16,501,501,107,501,649,500,500,502,282,800,649,16,503,800,649,649,800,649,502,501,501,271,423,779,880,501,282,649,503,500,500,503,501,622,503,501,649,504,649,800,504,16,375,503,107,800,503,501,800,649,282,501,800,503,545,503,500,503,800,500,276,501,649,800,500,500,319,287,800,500,501,503,705,500,500,649,649,800,500,198,800,649,109,502,800,503,800,649,800,502,107,283,502,502,649,503,500,675,260,649,502,503,800,503,649,500,16,800,500,503,279,282,501,500,649,649,503,500,500,502,649,373,282,500,649,502,282,649,503,107,501,503,705,649,500,177,503,503,649,501,503,649,282,503,649,367,502,649,493,16,500,503,649,765,649,500,649,617,649,981,649,800,16,649,649,649,501,501,503,502,282,502,649,282,649,504,501,800,500,705,649,532,282,550,500,649,875,502,503,500,579,890,502,282,282,800,649,800,800,16,282,503,501,504,649,503,147,501,800,501,500,500,800,649,649,566,705,461,503,501,282,501,800,649,501,501,500,503,502,649,800,502,800,481,501,503,500,800,500,649,800,503,800,282,503,500,800,502,113,502,503,503,282,16,502,500,500,501,500,501,502,800,649,500,282,501,487,282,902,800,800,502,500,800,822,359,649,292,16,649,500,800,800,501,649,503,649,800,282,500,461,800,282,500,503,502,500,502,500,16,500,503,800,502,800,500,502,800,649,800,16,649,500,502,678,502,800,838,649,800,282,104,500,282,501,503,649,70,503,504,282,500,649,501,501,16,887,583,502,649,247,800,500,800,800,501,500,500,503,502,800,800,16,502,503,649,397,502,107,282,500,649,501,500,476,649,185,649,719,500,503,649,501,500,282,502,8,85,500,800,501,16,500,501,452,282,800,502,501,500,649,502,655,500,501,500,16,649,539,800,800,954,86,100,501,500,649,649,107,649,649,500,800,501,503,107,503,800,800,282,501,500,504,500,649,395,282,502,504,282,501,800,500,405,503,649,800,500,501,503,649,500,649,107,800,649,565,501,649,501,502,903,500,800,844,931,502,282,503,649,503,503,800,649,649,503,649,649,649,282,107,502,800,282,502,500,503,500,503,107,552,16,800,282,502,623,282,800,500,800,501,502,408,649,92,503,158,502,501,501,107,501,502,705,500,500,800,800,282,500,501,649,501,500,502,502,502,248,503,800,191,503,502,649,501,503,800,500,489,503,649,16,586,282,503,649,16,503,501,649,502,800,500,800,649,800,649,502,800,502,503,500,649,501,501,503,867,385,800,282,282,649,16,502,649,500,525,649,282,504,282,503,282,747,502,565,800,503,649,282,501,500,503,800,649,500,502,800,502,500,553,29,649,503,282,502,503,649,500,500,502,502,502,502,502,503,224,16,946,500,649,16,679,800,649,800,502,501,800,502,501,16,48,800,502,693,503,556,500,501,800,649,800,503,657,501,282,501,800,501,359,800,800,501,501,500,500,503,503,103,800,503,503,776,504,502,107,282,502,500,241,501,649,649,502,800,501,501,501,800,503,500,500,503,500,800,983,681,500,500,800,854,500,649,501,501,503,501,502,191,282,800,502,649,800,1000,502,649,649,501,281,880,16,800,502,649,502,502,649,649,649,790,503,12,503,501,282,501,282,500,502,502,503,649,321,649,500,916,649,502,289,282,800,502,503,500,800,501,800,282,501,503,282,282,501,503,501,502,800,649,502,500,501,504,501,500,649,16,502,739,282,800,800,503,500,500,504,800,503,582,800,616,501,800,800,500,800,96,649,16,501,502,175,502,16,503,501,501,282,800,503,500,500,800,800,503,503,649,501,500,504,501,502,500,282,500,199,649,500,503,649,649,258,16,504,503,500,282,282,282,503,282,500,501,502,649,649,501,103,501,800,16,800,649,649,501,503,500,282,649,501,501,282,649,501,231,649,503,800,500,501,71,501,16,218,649,282,503,500,502,282,501,503,503,346,503,503,282,800,503,800,649,800,282,800,500,500,649,800,110,501,503,502,500,502,500,649,649,500,334,649,593,503,192,800,503,800,649,800,502,502,800,500,800,649,503,502,800,649,501,800,501,282,800,502,500,500,649,649,501,649,73,876,649,501,649,282,500,502,501,800,103,500,501,503,501,502,503,513,561,500,503,502,282,710,500,503,649,501,502,503,500,649,502,800,649,16,501,502,501,500,503,649,502,649,800,268,649,16,503,501,649,489,649,502,649,503,282,649,649,800,649,800,501,500,500,894,503,502,502,800,503,649,503,649,503,501,649,500,649,800,502,649,800,504,503,501,502,500,282,231,502,282,503,502,501,573,821,500,800,501,724,649,503,282,649,800,500,649,16,649,282,502,16,800,649,501,501,501,800,500,500,800,649,649,240,502,205,500,16,503,800,282,501,649,649,502,736,501,501,800,503,501,500,500,927,503,170,500,16,649,16,155,16,501,649,504,503,649,501,649,435,502,703,913,500,503,713,447,4,886,631,500,800,503,503,16,503,800,800,502,649,282,124,800,500,800,16,500,904,515,986,800,800,649,503,381,649,800,16,282,879,500,500,645,503,501,501,900,649,846,282,502,501,501,502,503,22,501,503,502,500,282,502,503,649,501,502,503,500,503,500,500,282,800,501,568,800,501,649,500,649,500,502,502,56,16,501,502,502,500,544,649,500,501,282,800,800,503,502,501,503,800,500,503,502,502,501,503,501,500,501,500,503,285,500,502,503,502,503,357,197,501,617,47,502,282,500,717,649,649,500,501,649,277,502,234,800,501,503,649,503,800,919,649,282,501,333,502,649,484,503,503,649,649,690,800,649,504,649,649,503,800,649,501,502,500,503,500,502,501,503,800,282,502,800,503,107,800,649,500,994,500,502,502,503,502,502,502,800,634,649,16,501,649,503,500,166,504,502,504,649,649,503,503,504,800,501,530,500,664,500,629,649,800,824,800,181,473,649,501,800,502,501,103,502,800,501,503,503,800,503,503,502,282,503,649,282,502,800,500,649,282,282,503,504,504,500,800,500,501,800,800,800,500,502,649,503,502,502,500,500,500,800,800,282,502,337,649,503,504,282,282,568,649,800,664,503,501,501,800,503,501,649,504,649,649,282,649,800,502,500,500,500,538,649,282,500,649,500,800,503,503,649,45,800,502,800,800,502,503,649,500,501,500,800,649,502,503,800,501,501,500,800,502,179,649,501,649,503,502,16,800,501,649,282,649,501,503,800,502,800,501,800,649,800,503,800,800,501,282,501,800,800,501,502,501,580,566,800,500,502,504,282,951,282,800,107,503,800,962,502,501,501,800,282,282,503,649,800,649,503,800,282,501,503,500,992,502,500,649,282,503,500,510,649,503,587,800,282,502,503,500,502,148,282,800,501,850,502,504,500,501,503,797,598,471,502,800,502,286,649,502,525,504,800,282,500,282,501,649,503,282,500,502,800,500,501,501,500,356,502,282,501,474,500,800,503,416,502,649,503,501,504,500,800,425,502,800,502,503,800,500,649,500,800,800,502,502,500,501,800,721,484,282,501,649,369,800,503,800,504,501,800,503,800,649,500,502,501,800,501,500,282,649,501,503,16,649,503,800,649,500,503,500,800,501,282,649,501,800,649,501,455,800,500,807,282,502,828,685,282,800,800,500,649,462,502,501,282,800,501,480,16,16,282,282,649,502,649,282,669,16,501,501,649,16,649,800,282,800,603,800,282,503,649,800,501,500,501,500,503,800,649,592,341,800,441,909,503,800,500,503,500,659,500,124,103,540,657,800,500,649,500,501,502,282,828,800,501,649,502,800,800,503,503,500,502,502,501,501,500,649,501,800,502,332,436,500,501,649,504,800,800,649,16,503,500,800,502,16,649,503,649,503,649,500,561,16,500,800,800,500,501,500,502,500,800,504,503,800,501,567,649,503,501,282,502,755,282,501,502,502,584,501,107,502,503,500,800,500,501,606,800,500,765,488,503,503,500,296,503,649,800,649,500,658,502,649,36,800,501,649,500,444,649,500,502,501,500,500,89,500,500,502,649,502,504,800,100,500,500,800,500,70,500,16,800,502,503,502,282,500,649,800,501,649,649,16,503,282,501,282,649,502,800,212,282,500,501,503,500,282,982,16,649,315,501,503,649,503,503,501,501,800,16,800,688,16,649,800,800,282,505,282,908,502,503,800,500,503,788,800,503,151,501,501,501,220,16,500,502,282,903,649,502,649,800,501,503,502,649,800,123,282,500,502,501,503,500,503,503,16,503,800,503,503,800,16,649,502,500,502,500,500,501,502,504,501,634,500,500,649,800,502,501,503,500,649,502,800,501,500,504,120,282,502,503,92,502,503,800,502,504,308,422,503,502,282,649,649,500,502,503,834,649,649,869,503,500,501,477,879,209,503,800,500,800,504,282,800,501,502,500,800,500,878,502,502,502,16,500,282,501,501,16,800,503,649,503,649,501,649,500,405,649,16,800,149,97,800,751,503,503,800,188,501,649,800,500,154,278,500,503,16,800,500,500,502,282,800,607,503,282,418,649,501,807,282,800,501,806,500,16,350,498,500,501,503,500,501,502,282,500,500,503,171,282,16,282,649,103,500,411,800,501,800,500,501,282,800,503,649,501,503,800,501,500,502,649,500,504,503,502,406,254,649,500,503,503,500,503,503,800,500,502,501,501,501,800,503,974,501,500,503,502,800,501,501,500,503,282,500,502,282,282,800,800,800,502,500,923,501,501,800,282,800,501,500,503,502,502,503,800,502,503,649,500,800,501,763,559,800,800,503,503,504,649,501,501,503,16,800,501,800,502,800,649,501,501,649,501,800,282,649,649,501,649,649,11,649,503,16,503,500,649,800,282,800,502,501,649,502,501,503,649,500,800,501,649,504,282,501,649,502,282,800,847,649,503,800,501,800,501,501,500,503,503,800,869,649,502,742,500,500,503,558,502,203,649,800,500,500,500,649,800,649,500,503,503,649,800,500,800,501,500,800,500,501,502,800,502,503,502,500,500,503,649,503,16,16,649,800,500,503,800,820,502,800,500,503,503,503,800,282,501,16,500,587,649,500,502,649,502,501,800,502,501,500,800,503,282,649,502,649,501,503,800,765,649,482,663,501,501,500,502,501,501,503,649,800,500,389,649,814,805,500,501,500,649,282,629,503,665,800,501,800,800,16,16,501,501,502,103,800,649,649,800,503,503,649,16,800,800,753,256,696,800,501,800,502,649,502,103,649,503,282,745,16,649,800,500,282,649,500,800,282,500,800,503,502,500,19,503,502,800,800,649,649,800,501,800,851,503,800,500,433,304,103,800,501,500,338,282,854,501,503,500,502,501,282,501,501,775,500,501,649,503,800,501,800,502,502,500,897,501,649,501,500,879,800,503,503,800,503,800,500,502,501,800,500,649,409,800,800,807,16,500,501,500,282,500,38,800,500,588,501,991,107,800,500,649,500,342,503,502,371,107,501,16,500,282,800,501,502,649,119,649,649,282,344,800,502,282,649,800,282,29,502,16,501,500,502,800,917,501,800,504,501,16,807,115,800,912,501,500,180,16,282,502,144,503,500,503,649,503,500,501,183,501,107,691,501,504,800,955,789,503,502,16,415,800,649,282,500,693,500,500,501,649,501,138,800,503,501,502,649,800,503,865,800,500,502,649,500,854,282,107,649,282,282,649,500,500,220,773,800,503,502,501,350,501,800,501,500,800,501,800,566,798,502,558,502,282,702,282,503,501,502,501,282,503,800,503,412,502,500,501,501,500,502,16,282,649,800,649,649,501,500,649,502,502,649,500,649,282,502,502,500,503,282,503,501,503,282,107,282,501,649,501,649,649,502,278,501,503,504,282,282,502,502,800,500,502,500,500,246,16,282,800,503,649,501,502,259,800,502,16,800,805,770,501,282,800,282,103,502,599,16,771,500,649,649,800,503,800,503,591,503,649,501,502,16,649,500,502,377,98,502,501,503,282,503,503,500,446,501,501,16,500,503,383,500,503,649,503,500,500,702,120,649,502,502,500,282,800,503,501,502,421,319,649,502,207,649,107,649,501,800,501,800,282,649,503,800,500,282,1000,502,649,503,503,500,500,502,500,320,501,500,501,649,649,800,503,501,501,800,800,800,107,503,462,282,500,649,502,16,500,2,504,501,500,502,800,502,503,649,500,891,107,103,502,800,501,504,434,194,500,501,16,649,500,217,16,282,502,800,503,500,502,502,692,500,800,929,649,501,800,770,381,649,503,16,800,502,88,739,502,500,503,16,939,649,500,233,502,538,500,502,649,649,501,282,800,501,948,500,502,649,800,502,500,501,800,800,500,735,649,500,503,16,65,503,649,501,649,500,502,800,649,500,800,501,500,282,16,503,649,502,282,503,502,800,282,800,649,476,502,395,503,288,800,977,649,282,500,502,500,503,503,500,649,500,282,649,503,649,107,85,649,500,502,502,503,649,282,60,649,501,16,800,503,800,244,501,502,503,500,800,501,503,16,500,649,501,282,649,503,800,800,500,500,800,500,500,800,649,500,500,1000,282,501,282,800,502,502,800,948,500,6,282,500,500,502,500,500,800,503,503,501,282,500,800,501,500,720,282,502,800,282,220,501,649,800,502,502,649,502,501,649,500,501,496,501,500,649,504,649,649,501,504,503,649,649,800,16,649,503,503,500,501,649,282,919,686,282,649,307,16,500,500,500,800,502,501,622,502,800,503,649,502,649,282,649,649,736,500,16,649,503,500,282,800,800,800,800,500,501,503,501,502,502,501,502,631,501,969,501,500,502,410,16,500,501,37,503,503,500,502,502,422,649,501,503,282,502,503,500,829,62,500,800,16,282,800,503,502,107,503,815,502,500,800,500,503,282,500,503,503,503,649,800,629,500,800,501,503,502,649,501,596,503,500,503,500,649,350,501,649,503,800,665,500,503,375,282,649,375,668,503,502,502,503,282,616,504,528,503,649,502,971,282,501,800,16,501,502,800,503,502,502,800,500,658,800,800,649,500,282,501,501,503,501,503,501,282,502,76,503,502,502,503,16,501,994,991,501,282,649,16,800,502,694,282,502,800,502,282,800,800,649,649,502,503,503,502,282,500,501,500,502,166,500,501,503,649,503,501,649,282,282,800,503,649,968,502,502,502,649,503,294,501,800,16,649,501,649,16,502,800,503,503,57,800,502,501,649,800,348,502,800,501,800,504,581,503,800,21,502,500,857,501,503,503,649,649,649,503,800,649,558,501,502,800,316,501,58,500,282,501,649,649,282,282,800,503,502,500,500,501,800,502,503,500,902,241,501,520,749,501,282,649,501,77,282,282,502,503,800,501,500,501,501,551,504,500,565,649,435,501,16,502,800,503,282,666,18,282,502,503,800,500,282,282,501,501,503,800,500,501,16,503,502,4,16,503,282,800,504,52,800,502,501,501,800,502,500,103,500,502,760,502,500,502,282,500,649,503,501,501,800,853,800,500,501,800,282,649,649,503,501,503,775,273,16,649,800,800,800,500,502,220,649,501,501,649,800,282,924,503,967,282,649,501,203,649,649,502,503,503,800,800,335,282,800,103,501,649,500,800,502,503,501,323,800,649,503,282,800,502,800,502,502,73,502,500,503,502,500,501,318,282,800,503,500,503,16,502,34,500,502,800,503,501,107,502,301,603,800,282,524,502,501,503,534,503,502,503,107,500,502,500,436,649,800,800,502,282,800,502,649,698,504,626,502,503,53,126,502,107,649,525,16,500,502,649,503,800,503,502,502,500,503,503,914,764,503,502,800,705,501,500,649,800,294,502,501,800,501,800,501,800,507,710,502,282,649,504,501,501,649,500,282,282,800,500,501,501,649,639,282,16,800,501,503,800,500,500,16,502,282,169,649,500,502,501,502,500,502,502,501,502,378,501,800,649,500,503,502,126,16,502,502,503,405,503,107,649,800,800,502,30,16,649,274,501,500,800,503,501,204,800,649,500,500,800,800,649,500,282,500,503,503,504,107,503,501,282,500,800,504,500,282,500,501,503,800,503,800,504,16,503,103,800,649,500,500,841,503,459,800,39,501,875,800,502,649,502,649,500,503,282,327,502,649,800,282,800,502,500,500,500,500,501,502,800,501,16,502,353,678,502,282,103,697,107,649,500,501,800,502,649,649,500,800,503,501,800,500,503,800,800,647,501,502,282,282,649,649,503,501,800,501,282,502,872,800,649,501,501,503,800,649,103,800,500,16,504,501,249,501,501,649,800,501,503,245,800,500,800,49,282,649,445,503,880,179,501,16,502,504,282,282,658,800,504,786,138,502,500,16,649,503,649,732,800,500,282,503,649,800,503,501,500,504,800,500,501,998,502,16,504,649,500,282,649,501,649,500,500,656,503,501,504,502,500,68,282,501,800,282,501,500,800,503,504,282,500,500,500,501,501,282,503,502,282,501,800,503,107,501,800,800,172,800,800,501,503,503,973,649,800,503,800,502,800,501,800,16,500,800,502,649,501,502,649,182,649,501,800,197,501,500,502,503,501,503,503,504,503,502,500,502,500,649,500,145,502,282,503,502,282,501,649,800,149,502,501,800,807,291,368,501,503,318,503,501,501,329,503,500,501,16,501,800,502,16,500,501,403,503,16,800,282,501,500,649,503,500,503,800,501,55,744,503,54,748,800,502,503,503,282,282,501,649,294,649,120,500,649,500,332,500,503,282,649,502,500,580,316,282,69,501,502,501,502,649,103,527,500,502,501,500,503,800,503,500,800,282,649,502,500,502,800,502,46,501,61,503,500,503,501,502,501,800,649,649,502,500,501,282,649,800,503,16,649,504,800,800,649,234,500,800,191,649,503,500,800,649,649,504,500,502,536,186,501,502,503,502,16,649,649,500,500,502,800,649,800,502,500,649,800,503,412,502,501,503,800,501,770,500,501,103,16,649,503,503,503,16,501,649,501,502,500,649,649,503,502,501,500,502,649,962,500,501,649,503,500,503,649,649,649,502,705,43,503,626,502,282,16,282,800,501,895,932,502,501,500,649,503,174,556,649,500,502,502,649,502,282,501,502,501,501,800,501,800,501,503,502,503,649,501,649,395,502,649,503,501,649,502,500,500,420,501,800,800,503,501,649,501,503,501,501,503,500,501,649,649,594,800,503,649,573,502,501,503,502,800,501,719,253,501,828,800,800,610,282,649,500,500,502,184,243,500,800,762,504,502,502,282,669,500,649,282,800,360,282,501,501,502,501,500,16,501,800,351,501,500,804,800,500,502,504,800,691,500,800,897,501,694,501,503,502,282,282,73,800,502,649,649,800,503,649,504,502,500,649,500,503,500,501,800,649,975,501,929,502,500,649,800,800,613,649,649,501,502,500,800,500,502,503,503,503,16,501,16,282,649,10,800,501,500,16,282,800,800,649,500,649,503,800,892,103,502,16,649,501,649,649,504,733,503,649,800,589,502,800,800,282,668,501,502,502,504,649,16,282,500,649,500,13,500,16,500,501,502,502,124,800,800,16,282,502,719,504,649,500,649,800,501,503,502,502,282,800,503,282,502,502,500,500,501,175,501,503,502,502,500,282,800,16,501,282,800,16,800,859,500,501,807,502,503,282,649,500,800,705,502,649,282,501,500,800,626,500,718,501,800,501,500,649,940,501,649,502,649,502,503,649,500,16,500,504,800,373,501,502,649,501,504,649,502,800,921,722,502,72,649,282,282,800,503,503,500,282,501,649,500,503,649,282,503,501,502,422,93,876,800,502,500,800,649,854,16,107,502,501,18,501,800,501,649,649,502,501,502,649,282,501,107,649,800,16,800,503,501,649,649,503,800,502,501,502,800,800,295,649,501,780,502,282,503,649,503,800,502,710,500,282,500,649,500,500,800,649,649,800,282,500,500,501,504,314,649,809,688,734,345,501,346,500,501,649,500,107,423,800,502,502,501,502,502,501,502,501,502,649,360,649,631,500,500,800,7,503,502,503,502,282,502,503,649,502,800,502,649,500,500,614,502,501,501,282,465,503,500,800,500,800,501,282,500,302,686,798,282,500,501,501,282,503,501,501,800,800,501,800,282,500,321,500,649,16,502,800,501,317,740,502,16,501,500,500,501,500,502,502,500,800,568,502,503,50,503,501,800,501,16,501,502,501,500,800,16,269,16,503,503,800,503,501,848,415,502,649,532,851,800,501,282,371,502,649,920,503,501,502,800,18,800,800,500,282,492,500,501,503,503,501,800,649,500,503,282,649,649,502,501,649,800,503,504,649,282,501,501,502,501,503,649,502,501,501,649,501,503,667,502,649,500,500,649,800,755,500,492,485,500,282,503,501,500,16,503,501,649,54,502,500,503,500,502,800,800,503,503,282,501,992,25,649,503,502,649,649,677,282,16,503,502,649,282,500,500,502,800,800,504,502,800,800,500,501,800,98,800,502,800,581,282,500,800,501,501,829,502,502,800,800,500,503,506,502,282,501,16,502,16,800,502,649,649,16,800,855,800,587,16,503,800,503,503,800,502,503,800,502,500,192,500,503,501,598,649,649,500,501,502,500,501,500,501,649,282,567,502,503,649,503,649,504,649,800,800,503,502,387,649,282,610,107,16,649,800,649,282,502,800,500,502,501,504,504,800,503,649,649,502,800,503,502,500,800,368,800,270,282,501,620,800,502,500,800,438,502,502,649,503,800,384,502,800,649,503,800,502,501,831,107,800,171,54,572,504,502,879,649,500,501,502,500,800,800,500,16,800,500,673,800,503,45,501,501,855,500,217,800,501,501,502,500,502,859,500,501,649,800,649,501,500,800,503,450,502,649,502,800,501,501,500,649,503,649,500,504,502,800,649,469,503,502,504,502,282,800,500,502,502,503,649,500,103,500,502,282,948,503,800,501,861,502,502,649,500,384,649,501,503,649,649,503,500,502,501,800,649,503,282,282,500,445,282,503,800,502,282,503,500,649,501,649,773,501,282,500,502,503,502,282,889,502,501,502,502,649,649,503,502,16,502,513,282,502,282,800,501,503,502,500,387,68,649,502,649,800,282,501,649,503,501,500,107,649,16,501,500,649,502,800,500,282,501,649,774,800,649,501,800,501,107,503,500,503,500,503,428,502,282,282,800,800,800,501,501,502,501,500,841,800,16,649,502,501,282,800,502,501,107,501,503,502,16,800,282,800,500,800,800,649,500,500,282,800,16,199,705,422,503,502,800,503,503,300,501,504,500,910,282,503,501,800,501,500,504,985,503,503,501,282,800,698,502,502,649,800,500,282,502,502,504,547,503,502,500,465,503,501,882,800,649,468,500,800,501,502,501,16,282,705,800,503,503,502,649,502,501,16,649,503,800,502,649,501,500,503,502,649,502,500,103,503,501,649,500,800,649,800,53,16,925,800,482,570,503,282,282,800,501,649,502,282,503,649,649,16,501,501,502,365,502,649,330,800,16,16,649,896,503,800,103,501,501,800,502,800,284,800,649,854,503,502,503,500,502,503,649,501,501,501,800,503,649,503,501,800,282,800,282,757,503,649,500,757,282,501,649,565,503,741,503,503,503,501,800,502,734,282,500,502,503,282,503,503,503,502,500,649,502,756,500,800,800,502,500,503,800,800,502,500,500,504,486,393,501,671,800,501,800,649,500,282,503,503,502,503,502,800,649,800,19,500,649,211,649,282,649,16,500,177,501,503,282,503,107,501,503,649,649,503,649,649,807,500,503,649,503,16,16,40,501,500,800,504,800,282,282,649,502,16,503,800,501,501,503,500,500,242,502,847,572,503,501,79,502,649,503,501,503,501,901,884,800,504,800,501,490,500,500,500,502,649,503,500,649,282,800,800,748,800,503,502,649,800,60,503,503,16,500,502,474,503,649,502,155,649,503,872,800,501,649,705,649,213,649,502,282,649,502,282,502,502,501,502,282,649,639,501,113,594,502,282,504,282,502,649,398,501,838,16,800,282,502,800,503,800,800,501,88,503,282,800,502,16,282,649,502,16,282,504,649,500,503,500,584,502,800,649,503,504,501,244,501,800,103,504,649,800,504,501,501,503,501,499,500,393,502,54,500,501,500,503,501,500,649,501,502,501,282,800,800,503,500,647,649,501,800,800,282,503,501,282,500,800,12,501,16,503,211,16,500,503,501,502,800,649,800,503,282,465,613,502,16,501,16,502,170,649,503,800,649,500,16,501,503,502,800,282,502,502,16,282,827,502,649,16,501,749,800,503,991,800,500,649,500,16,500,503,304,418,649,649,649,649,282,800,500,282,16,501,503,100,503,649,800,501,500,501,502,16,639,849,282,503,500,503,503,718,502,502,282,500,184,501,16,649,649,800,347,374,501,649,16,649,500,500,649,500,503,500,502,121,502,649,502,282,502,503,500,503,501,501,502,106,502,800,649,282,649,500,502,526,500,44,501,649,800,503,649,800,649,500,649,800,502,649,501,800,503,800,500,500,502,800,338,503,282,800,350,500,660,502,649,649,501,391,282,500,16,649,649,146,29,501,502,372,502,990,800,649,423,955,107,503,800,800,501,501,502,502,500,503,800,16,649,501,502,502,578,635,503,503,501,500,502,502,501,282,502,502,800,649,282,649,504,107,649,503,649,107,502,501,502,500,506,914,282,800,503,800,800,282,800,502,649,500,503,800,649,16,282,501,501,279,502,503,649,503,501,16,503,503,800,502,800,649,503,649,282,282,503,800,176,502,502,800,98,501,501,800,800,501,800,621,800,500,501,500,649,16,503,500,501,500,502,501,502,503,800,500,649,339,800,649,502,500,649,222,503,649,902,500,502,500,800,500,800,503,503,282,502,500,503,501,502,501,503,500,502,800,500,502,632,714,9,503,502,503,649,16,649,649,649,282,16,503,800,501,800,649,500,502,501,800,649,503,503,487,282,282,500,282,800,503,649,800,666,649,800,800,16,501,500,500,800,500,501,501,500,398,586,502,800,502,502,800,501,282,800,793,502,991,20,282,501,503,503,503,502,501,502,821,501,503,649,503,501,217,282,38,985,413,649,500,649,503,649,282,649,503,282,500,451,501,503,16,649,421,503,500,944,503,649,501,800,500,649,502,500,502,501,501,500,500,502,503,503,800,502,282,800,649,503,800,502,360,804,442,503,800,16,503,800,502,503,500,800,800,800,501,66,121,980,500,504,502,649,282,500,501,503,649,16,649,501,16,649,800,800,503,103,502,502,503,502,500,654,503,503,501,500,503,502,502,800,503,500,502,744,282,716,503,437,805,501,800,502,503,501,439,502,503,800,800,502,502,502,501,16,500,37,76,501,502,503,800,800,649,649,800,500,503,497,500,500,800,800,282,501,502,502,502,800,503,503,500,282,503,649,649,800,649,500,326,649,500,800,800,800,800,502,504,503,503,503,501,500,649,649,501,800,905,500,500,841,649,282,502,500,503,504,733,282,502,503,502,649,103,502,501,501,500,503,746,500,500,500,649,172,503,501,702,503,501,305,800,30,503,649,502,16,107,649,207,800,649,800,501,800,282,503,503,16,800,500,649,502,500,502,16,503,800,502,870,432,502,502,800,103,502,649,503,503,282,502,1000,728,501,502,500,501,282,500,800,500,800,501,503,502,502,500,500,800,649,282,501,501,107,502,800,502,501,500,502,502,502,502,226,501,500,282,16,800,800,60,500,649,503,502,649,502,440,500,503,649,502,759,502,504,501,504,385,503,474,649,876,500,649,800,501,503,501,503,503,800,705,502,649,500,298,501,282,649,501,800,501,649,800,502,502,504,340,153,800,500,800,501,800,501,800,502,282,649,325,800,800,257,503,501,800,930,800,649,649,501,16,503,500,649,503,500,244,503,282,640,503,649,501,504,800,649,500,500,282,500,503,282,503,503,503,500,500,8,649,800,500,800,800,500,502,282,503,107,800,282,257,18,282,501,867,650,282,800,500,175,500,503,800,267,501,649,88,649,502,16,649,591,500,503,503,282,649,500,501,800,504,468,632,880,800,637,16,502,649,649,501,501,502,501,800,503,500,501,501,649,502,649,649,503,649,501,503,282,504,500,705,639,800,649,282,917,502,649,500,282,649,503,502,800,800,502,800,16,503,503,800,502,447,501,504,102,502,503,501,800,500,282,501,400,802,800,503,500,16,500,503,502,500,282,500,988,502,16,502,82,282,501,503,503,501,800,649,500,282,502,16,500,800,282,501,800,500,588,500,500,122,501,500,503,107,500,800,502,501,502,502,800,501,649,502,800,501,649,434,502,103,800,282,282,282,502,500,107,502,502,502,649,502,501,504,500,649,503,501,501,649,800,501,382,500,282,800,649,649,800,566,800,500,500,502,800,503,502,282,282,16,500,649,500,501,685,16,401,651,500,103,432,649,501,502,800,504,501,627,500,503,501,800,649,504,649,364,800,504,630,503,501,501,503,800,649,502,502,281,501,502,503,649,354,501,501,649,800,800,503,502,500,502,282,501,55,723,502,251,502,970,503,503,502,649,800,152,16,500,800,649,481,649,500,197,503,649,800,503,502,282,502,501,501,502,502,502,503,692,503,649,503,503,282,413,503,282,500,500,501,500,500,615,642,568,502,800,800,649,502,500,504,800,918,282,649,502,800,501,501,649,705,282,501,502,85,282,504,649,520,282,649,503,465,500,502,503,496,503,500,800,501,500,504,800,501,16,501,642,501,501,800,501,501,282,503,282,500,501,800,502,285,500,502,501,503,16,346,776,120,608,282,501,649,502,503,500,656,320,282,282,649,503,168,282,103,501,282,649,502,500,503,16,502,503,296,16,503,800,800,503,800,502,501,501,503,158,500,500,502,771,501,501,502,649,282,649,500,247,800,502,503,705,501,393,503,282,501,640,501,502,282,500,502,503,501,502,503,500,501,649,504,282,649,649,649,503,161,503,503,800,593,800,800,504,501,649,502,503,502,800,503,649,501,503,503,501,501,503,649,502,503,501,500,503,649,282,500,500,503,502,502,717,501,501,502,502,501,501,310,282,504,889,501,501,649,16,501,649,500,503,501,282,800,502,502,500,500,251,649,500,649,282,652,500,504,502,904,649,721,501,502,649,501,503,503,218,800,500,649,502,859,271,649,501,282,282,878,282,788,800,501,502,500,501,800,502,503,501,771,800,502,649,501,500,800,282,500,800,500,502,503,502,282,502,501,503,501,705,180,501,501,501,501,502,502,412,800,503,800,800,281,649,500,500,683,501,800,16,500,503,107,800,800,649,501,800,502,800,649,649,800,333,500,502,503,282,800,282,982,503,282,16,103,800,501,421,501,62,282,501,501,800,503,282,571,502,535,800,503,649,500,649,502,649,800,500,501,501,282,501,502,649,800,649,649,800,800,503,502,502,282,800,501,502,282,800,501,800,812,502,824,800,502,502,932,800,503,501,649,439,282,500,503,501,502,649,994,282,649,800,649,800,800,500,432,649,500,800,649,500,16,923,952,503,500,800,519,213,800,994,502,329,800,800,649,503,800,501,282,501,649,502,503,970,649,500,503,649,16,800,331,503,500,500,800,503,800,502,502,460,501,500,649,269,800,6,649,800,711,502,500,800,501,502,503,503,800,649,649,107,501,282,916,282,957,282,503,501,649,503,462,501,271,800,500,503,501,501,649,501,502,282,828,505,649,504,503,503,282,282,502,503,503,649,649,649,501,282,16,441,282,501,800,501,502,503,282,990,503,984,103,800,649,500,800,800,800,501,500,800,119,800,501,504,800,501,500,800,282,800,705,501,649,503,502,503,502,500,501,920,282,502,503,800,501,282,501,501,503,800,800,503,800,800,501,501,500,500,231,848,501,501,500,500,331,649,649,39,282,994,502,649,800,500,649,800,502,500,30,500,500,800,503,68,16,503,649,502,800,436,419,502,502,800,192,649,477,503,501,843,501,649,502,649,501,16,503,800,500,649,500,501,501,490,502,502,649,649,649,500,253,502,500,501,500,800,16,500,800,930,249,800,501,503,501,800,503,649,502,502,344,16,503,800,500,282,502,503,500,503,226,500,502,502,649,800,503,501,545,500,800,800,562,649,748,649,16,503,503,500,491,46,282,649,649,478,800,282,649,500,962,649,282,282,800,282,800,502,16,505,107,871,501,502,501,503,800,649,800,500,501,744,503,689,16,501,800,503,953,800,500,649,503,282,649,649,800,501,502,282,500,500,500,502,503,503,502,155,282,501,502,501,503,800,502,800,502,800,107,282,500,16,501,500,503,800,502,501,649,501,500,800,500,846,649,501,501,282,501,500,503,719,502,800,800,800,26,369,649,649,502,649,501,107,800,500,282,649,502,649,800,501,800,537,503,503,649,502,16,502,103,44,402,107,501,649,502,690,141,800,503,624,649,16,227,45,800,800,502,490,282,649,997,800,282,500,501,800,107,659,500,502,500,500,800,503,97,800,649,501,500,649,800,502,800,500,282,501,16,649,282,501,501,502,649,501,800,503,800,502,282,103,500,503,649,500,503,800,282,549,500,868,800,16,502,502,500,649,238,649,501,504,503,678,500,16,502,501,649,503,501,800,501,503,500,282,503,649,502,503,800,500,502,649,501,500,649,649,374,371,501,502,500,503,687,502,282,800,503,482,800,909,501,503,501,649,800,282,282,800,800,503,503,503,501,501,282,501,502,800,504,16,500,503,501,282,139,501,503,800,568,800,16,270,649,800,502,501,649,16,566,649,528,649,502,503,649,500,501,649,16,501,501,503,500,502,649,503,503,282,502,501,964,503,500,500,500,501,502,500,800,500,649,502,800,500,649,236,502,282,800,501,800,800,519,800,500,800,649,503,503,501,500,500,501,500,649,703,649,800,503,500,503,502,344,501,500,16,75,503,800,800,500,502,282,501,503,649,649,800,282,502,501,16,282,800,503,123,649,649,800,649,55,503,500,800,800,107,500,800,452,649,501,16,649,503,282,501,501,22,800,103,800,649,814,500,800,282,501,16,800,800,282,800,502,117,686,503,800,501,502,503,649,500,905,800,800,500,500,282,500,503,500,800,797,398,705,649,282,503,800,800,800,501,500,500,800,649,800,4,501,16,501,502,500,500,502,272,502,649,570,807,800,224,500,649,649,282,502,800,502,749,502,282,503,644,502,504,980,282,500,107,649,611,503,503,591,503,502,500,502,800,503,800,502,718,16,501,800,502,800,502,154,500,310,502,649,800,975,16,800,937,770,282,503,502,800,502,649,502,16,501,282,502,952,649,649,500,282,800,649,800,503,500,502,502,649,649,16,502,500,282,650,501,501,503,502,649,649,502,27,500,800,502,492,501,282,800,649,500,503,516,649,502,500,800,649,282,800,282,500,500,649,482,649,800,649,500,282,800,649,500,503,502,800,800,503,500,500,743,501,503,502,649,501,16,800,501,800,501,500,800,800,501,271,800,502,504,603,649,649,800,503,502,501,503,500,800,500,500,800,503,501,649,500,501,503,800,504,349,503,502,503,501,800,503,501,503,103,501,500,502,649,800,503,800,800,800,649,501,500,581,502,649,500,649,756,16,800,116,500,282,800,501,16,800,503,502,502,503,649,365,500,502,501,800,504,502,282,800,705,800,800,500,800,800,649,500,503,503,501,500,501,800,800,800,800,502,500,502,502,502,502,816,500,503,103,897,649,500,649,649,503,800,649,649,500,800,503,800,500,503,500,800,103,262,985,990,503,503,501,503,649,282,501,501,800,649,503,502,503,282,502,800,800,637,649,16,35,503,800,502,649,723,501,501,800,67,500,72,503,501,503,282,703,107,501,800,832,800,800,649,649,503,504,501,500,502,800,800,16,502,502,282,800,649,649,503,282,500,16,282,503,500,501,500,649,502,535,649,282,500,800,500,501,501,282,500,800,501,501,800,649,649,16,503,680,938,500,282,705,500,503,502,500,282,800,800,503,649,502,500,501,800,501,502,282,502,500,504,282,502,503,501,800,830,503,800,501,613,503,800,503,504,807,800,500,503,502,502,282,503,502,800,502,649,503,973,503,807,500,500,502,800,500,800,649,502,800,503,649,500,500,503,502,503,501,501,800,282,501,16,800,502,503,705,800,501,501,282,145,502,501,282,800,800,502,800,282,500,649,503,953,326,898,800,282,800,500,503,501,6,800,503,501,502,516,501,282,806,500,502,504,800,800,16,503,504,502,16,501,16,16,107,501,847,500,503,471,649,502,686,282,282,500,649,484,515,503,503,504,502,500,500,649,502,501,16,503,982,957,503,282,500,503,282,649,502,800,502,503,501,503,504,503,467,879,500,649,800,501,501,501,501,649,503,503,503,720,282,503,503,649,501,503,649,649,500,282,503,282,501,500,800,503,16,501,800,649,503,467,649,649,800,16,500,503,800,649,763,501,282,501,649,501,501,800,503,503,800,503,501,501,800,649,285,800,800,392,64,502,501,501,649,471,503,500,500,800,500,649,501,503,800,501,500,282,502,503,649,502,500,123,478,282,16,649,282,282,16,503,500,500,826,500,500,282,800,503,800,500,649,503,833,502,649,649,649,649,16,800,926,501,501,649,501,501,500,649,501,107,504,501,282,501,503,500,800,282,501,502,649,500,919,800,800,500,107,800,579,282,16,501,500,500,649,937,501,500,502,503,605,649,16,649,282,800,649,282,800,649,501,21,502,649,282,502,282,500,649,453,502,500,800,502,503,913,500,16,649,314,503,800,500,16,800,502,800,800,503,800,500,800,16,649,501,649,800,503,502,502,899,503,502,500,502,282,615,502,502,502,649,800,502,500,500,649,502,503,16,731,473,503,282,500,503,282,501,503,503,215,282,503,16,503,500,800,501,282,800,422,502,649,800,502,500,503,501,500,502,501,501,649,282,502,649,500,849,502,649,576,502,649,800,80,500,800,503,282,503,649,976,500,800,800,502,503,503,502,502,189,282,503,500,502,501,502,360,501,649,503,649,800,625,904,500,467,500,501,605,3,107,649,503,107,500,500,500,501,158,649,433,502,502,101,800,800,800,502,649,16,501,649,501,908,501,282,103,800,500,502,800,282,500,800,503,905,650,500,503,503,500,501,500,500,500,503,800,282,976,503,501,728,472,503,135,649,800,722,649,918,501,503,502,965,501,503,16,800,800,504,800,800,500,500,16,500,503,503,649,800,503,649,722,330,346,501,503,800,649,338,503,107,503,649,501,502,727,289,502,502,649,502,800,282,790,501,282,649,637,502,649,649,649,501,18,523,16,500,696,502,500,501,500,800,800,800,501,800,503,800,649,501,282,502,649,501,258,501,649,741,282,282,800,800,649,502,502,800,649,503,800,282,501,649,501,503,504,69,800,500,502,501,800,800,282,800,16,503,500,800,501,649,800,503,500,416,501,800,16,502,500,500,282,503,537,503,501,503,500,500,503,649,282,282,502,501,40,500,723,502,746,503,282,501,16,503,503,501,800,175,282,800,282,800,503,500,502,282,503,501,503,500,501,649,500,282,282,649,800,649,503,503,502,503,500,500,800,503,800,649,500,282,800,649,503,502,502,571,612,16,500,753,297,500,501,649,103,503,137,649,800,242,800,500,501,649,649,500,502,16,800,501,688,649,502,450,500,503,800,649,500,501,501,501,503,800,649,800,500,502,569,800,501,986,107,107,503,501,16,16,501,503,649,504,649,800,500,282,500,502,500,800,503,107,301,800,503,832,501,635,500,282,502,649,503,503,500,282,501,666,800,649,503,988,500,649,503,502,501,649,262,649,502,800,649,501,649,282,800,649,800,500,649,649,800,800,500,503,503,800,500,501,502,500,500,800,500,800,282,800,503,503,502,800,649,336,500,500,502,800,16,502,504,449,501,502,800,649,503,500,800,800,212,348,649,649,503,800,103,282,502,501,800,503,649,501,500,800,772,649,279,649,504,502,502,503,502,705,800,725,800,503,501,282,500,649,502,107,282,604,800,119,502,503,16,800,502,501,800,649,582,282,500,501,717,2,504,503,657,631,502,500,820,800,800,501,800,503,800,800,649,503,503,800,500,282,501,749,800,282,503,503,649,501,282,340,500,282,800,660,282,501,649,649,502,501,502,740,502,800,800,502,501,282,501,503,357,503,649,503,16,62,502,502,649,665,649,501,85,16,649,649,500,952,649,136,502,649,649,800,502,705,800,800,78,649,800,500,503,649,649,649,649,500,282,649,649,502,503,649,649,649,594,501,504,501,500,501,501,800,502,503,282,502,500,502,282,503,892,503,800,800,502,502,502,503,625,501,649,503,800,649,503,16,783,501,649,858,283,503,502,487,500,800,484,800,503,500,503,502,649,500,501,828,503,16,800,502,649,282,113,752,800,502,800,501,529,500,501,503,503,16,501,501,502,473,501,503,328,800,500,504,503,502,501,502,367,500,800,503,800,503,504,800,649,503,800,282,502,688,500,503,502,16,561,16,502,282,282,501,931,282,800,503,441,282,16,502,501,503,503,500,649,649,800,501,502,282,500,16,800,800,500,500,800,502,501,649,282,500,500,501,503,501,501,649,258,255,604,800,282,500,502,502,501,282,500,282,500,500,16,649,649,649,956,282,742,501,107,282,500,649,800,800,502,800,649,503,500,16,649,503,341,503,502,529,503,800,792,282,649,800,282,500,501,502,30,800,502,16,282,501,500,503,16,501,500,502,800,282,502,649,460,649,500,501,800,504,672,500,217,502,501,282,568,170,16,282,504,800,501,500,500,649,800,16,903,500,503,502,500,16,502,500,800,503,501,16,501,16,800,649,282,129,504,649,500,501,649,119,649,502,649,318,282,502,800,649,500,649,501,500,649,503,500,649,502,500,503,800,649,500,16,503,500,501,649,501,800,649,501,649,282,579,502,800,649,649,501,649,597,711,502,500,649,502,800,502,504,503,500,282,502,800,649,500,649,649,501,16,501,504,500,514,906,500,164,504,501,502,501,649,732,501,800,649,800,765,107,503,500,649,800,503,16,73,500,649,813,807,502,16,800,500,800,500,191,500,500,649,800,649,503,502,501,800,800,649,503,502,88,282,800,800,502,282,501,649,800,500,500,501,476,502,501,500,503,502,282,800,469,500,382,500,503,282,503,800,502,502,929,500,503,291,649,520,502,501,502,376,800,502,503,503,800,503,500,649,502,500,502,82,321,179,649,502,503,567,500,501,433,115,649,800,500,502,502,365,503,503,500,502,503,502,500,502,500,503,649,501,501,800,501,503,349,503,649,502,501,800,504,501,503,503,156,502,489,800,649,649,800,800,501,500,314,649,649,800,502,501,504,501,649,322,919,503,282,16,501,990,503,503,800,800,649,500,501,502,502,503,500,649,7,500,69,800,810,502,898,502,800,800,16,384,500,501,649,649,147,503,82,501,920,501,500,16,820,727,800,282,502,500,800,502,800,800,502,500,502,800,503,800,967,871,282,501,800,502,503,503,553,500,800,308,165,16,502,649,501,649,649,800,800,501,649,579,500,649,504,636,501,501,649,501,500,800,681,500,649,502,504,502,649,800,649,649,500,504,282,500,107,500,500,649,501,705,501,503,500,501,800,577,170,800,502,500,500,555,500,500,501,484,503,503,501,800,502,649,649,800,753,503,924,500,231,500,503,500,502,800,501,107,503,282,705,503,502,502,103,16,534,16,502,500,822,282,16,282,282,501,800,500,502,802,501,800,502,63,501,920,501,282,800,800,282,800,16,500,282,282,502,502,502,504,503,235,394,780,282,502,509,500,649,501,502,279,293,649,800,649,501,503,503,500,649,503,501,501,500,501,503,805,728,502,630,649,501,528,503,502,500,500,502,502,800,503,500,819,11,504,800,16,500,649,504,501,900,800,501,501,503,501,259,503,649,501,491,503,500,502,649,500,310,800,363,500,500,501,835,800,649,501,501,503,649,800,663,500,649,61,503,649,502,500,16,800,626,502,500,502,800,649,160,800,502,16,500,503,503,282,500,800,649,885,504,800,649,500,500,800,501,500,504,16,593,293,501,116,245,208,501,800,643,503,501,649,502,500,16,500,800,649,800,501,502,649,649,649,501,282,649,501,800,500,501,504,503,502,800,16,649,502,800,649,800,649,500,800,502,502,649,501,800,16,501,503,785,16,282,282,800,502,800,445,500,649,282,800,800,503,500,282,649,500,649,800,800,502,282,503,504,501,500,503,282,501,800,282,129,501,503,501,649,817,751,3,103,800,872,503,503,800,502,501,502,649,447,502,501,503,503,282,501,282,500,261,628,501,649,502,502,282,800,503,649,502,649,649,800,649,649,503,780,722,249,501,501,502,500,659,503,800,800,502,933,500,474,503,800,16,502,649,500,56,649,649,800,500,500,649,107,282,501,501,503,503,430,103,500,502,987,503,501,501,649,503,502,282,442,502,503,800,649,800,500,501,282,503,691,504,500,129,800,501,16,500,500,500,800,503,500,649,16,503,501,282,800,500,865,500,502,501,282,649,501,500,282,502,649,510,501,800,502,501,800,503,501,503,502,502,502,500,503,503,502,502,800,500,500,503,500,503,290,500,502,500,501,500,16,63,309,855,502,800,649,500,503,502,502,500,565,501,800,649,504,500,800,800,649,649,649,500,501,501,407,649,502,503,500,503,185,549,501,503,500,82,501,800,16,500,800,13,502,800,500,503,503,282,649,501,282,800,800,649,282,501,649,503,649,800,502,282,253,502,649,503,503,649,800,800,501,501,504,800,503,649,379,502,502,504,649,503,500,502,500,282,502,800,501,649,503,282,800,16,503,504,800,80,800,304,500,501,282,800,807,502,649,800,502,500,501,501,649,8,502,503,503,503,500,41,502,800,501,503,500,800,501,504,501,503,500,500,503,503,502,800,282,863,502,500,16,500,500,800,502,867,282,500,649,502,800,800,649,501,282,282,501,282,103,503,649,401,255,503,771,800,368,500,500,500,501,503,503,501,582,282,500,503,502,501,649,503,649,501,649,800,504,649,501,870,800,282,171,503,649,501,800,649,502,16,800,649,920,502,800,502,649,500,800,500,800,743,503,503,282,800,501,500,500,16,649,16,502,840,503,527,500,502,974,504,800,503,649,800,800,800,500,649,500,500,502,410,503,503,72,152,500,107,482,503,800,16,649,800,649,503,503,501,800,282,502,500,500,800,502,501,649,502,501,503,800,299,503,800,503,501,512,503,503,500,501,289,649,800,501,502,502,649,800,901,649,501,800,282,800,504,503,501,649,649,501,501,500,501,800,516,502,500,800,500,800,502,649,649,502,800,282,800,503,649,16,503,500,628,503,788,852,501,502,649,500,500,445,763,504,500,282,502,282,800,503,500,16,501,42,282,502,800,649,649,282,502,302,500,282,649,500,282,501,500,504,501,649,800,649,500,503,502,649,282,800,649,800,800,503,501,503,632,502,502,282,649,800,503,108,800,103,251,502,429,502,628,501,502,503,503,500,310,503,502,94,500,500,649,501,500,649,800,282,503,502,501,282,501,282,502,504,501,800,501,500,500,500,282,502,500,503,800,503,501,282,501,502,502,800,107,501,612,649,617,107,800,501,282,503,800,393,649,501,500,503,282,502,800,649,502,504,500,503,348,498,649,649,501,500,649,502,503,502,800,503,502,282,502,282,227,500,350,503,501,501,500,800,501,501,502,649,649,872,503,502,501,800,501,500,669,503,501,500,502,500,16,282,508,504,501,501,282,500,800,649,649,800,800,19,455,16,501,282,282,504,800,800,649,649,502,649,501,282,501,107,649,649,501,500,282,501,503,501,502,502,500,503,282,16,502,501,502,649,649,502,649,503,502,502,16,502,501,501,500,800,501,503,500,16,502,800,705,504,503,500,800,503,500,800,503,500,9,800,503,503,500,501,502,502,282,800,649,800,502,503,649,502,468,282,649,500,800,503,90,800,649,800,502,649,282,62,282,800,16,83,503,502,503,800,883,500,500,500,501,503,282,800,800,649,501,800,500,16,503,649,503,502,649,501,800,656,554,500,16,502,501,501,501,506,800,500,649,501,107,649,144,503,394,649,281,114,502,502,502,501,800,649,800,503,189,282,800,504,500,282,16,502,980,500,800,502,502,649,500,107,649,282,503,501,502,500,800,103,800,649,502,999,276,649,103,649,800,800,503,501,502,502,500,800,501,466,282,800,282,502,501,502,800,800,16,582,800,504,503,800,800,502,500,635,501,800,502,16,649,503,500,502,501,503,502,503,800,800,500,503,500,282,501,314,502,282,500,649,800,649,800,800,715,502,502,649,502,503,800,501,500,800,257,501,800,502,913,800,504,375,649,545,282,500,502,800,649,500,649,800,649,500,649,501,649,649,501,649,823,503,503,209,502,800,800,500,500,503,800,649,500,501,501,800,502,282,103,649,502,503,800,649,649,503,500,501,99,503,800,30,500,800,800,800,107,502,502,800,504,500,500,100,500,502,16,502,500,503,649,649,502,829,649,103,502,502,800,282,282,502,502,547,503,503,503,800,502,16,502,501,501,282,501,502,500,649,16,649,500,500,649,800,16,500,502,800,500,894,649,800,502,649,800,649,503,500,538,501,500,500,502,500,500,500,558,502,649,909,282,502,500,503,503,649,503,45,985,501,649,503,800,503,532,501,214,800,503,500,502,500,649,502,503,501,775,282,649,394,649,502,800,501,501,70,502,649,502,649,282,800,800,800,168,649,503,503,273,500,732,502,500,500,501,800,502,565,639,502,282,649,649,500,649,945,649,502,16,500,502,502,649,800,427,800,649,502,500,500,501,502,282,500,800,503,649,914,500,649,500,16,800,732,800,502,501,282,504,502,502,503,662,503,973,649,503,502,800,501,800,500,500,800,800,800,502,282,649,917,43,503,800,500,649,649,800,16,502,474,504,500,498,501,800,649,800,90,503,501,502,503,282,282,503,500,282,502,502,282,500,502,800,89,502,146,649,503,501,649,500,500,649,649,800,282,503,500,503,503,649,893,503,503,502,503,356,282,649,501,502,502,282,75,821,383,800,501,500,502,500,501,649,16,501,503,282,800,800,502,800,649,503,649,501,501,16,502,363,500,649,502,502,649,800,503,282,503,501,4,649,503,503,502,504,932,501,282,649,922,503,649,502,282,503,502,502,881,500,800,16,800,649,649,503,501,500,800,502,282,503,500,501,500,501,500,800,800,649,649,500,500,649,502,501,501,800,800,282,460,502,501,501,628,800,500,501,649,500,503,500,36,800,649,296,500,649,649,502,16,500,501,800,503,503,500,501,576,500,501,502,649,649,503,800,282,504,944,210,502,500,800,16,282,282,800,500,800,800,633,501,410,500,649,500,503,935,502,338,166,16,503,500,502,110,500,503,502,503,500,501,66,504,500,800,500,502,524,107,504,501,649,501,438,649,16,649,502,836,16,502,649,649,800,502,800,503,503,746,282,500,84,503,800,2,502,959,14,297,501,649,649,501,649,503,502,800,282,503,503,500,502,800,16,800,649,501,800,502,500,503,16,504,503,173,700,16,501,502,501,282,586,503,500,495,282,485,503,649,502,278,500,501,800,500,649,807,503,501,800,501,501,649,503,649,501,649,503,500,16,800,501,503,140,649,502,501,513,282,501,800,440,503,649,649,503,900,800,500,501,500,501,649,500,16,282,429,500,282,649,503,16,500,800,572,800,502,107,649,800,500,503,501,800,649,16,502,501,500,503,800,16,502,16,800,800,501,649,282,16,502,649,500,649,501,500,500,800,649,800,500,435,503,348,800,502,800,501,503,501,501,502,500,649,501,500,800,500,501,503,503,503,811,502,503,282,724,502,649,649,503,503,673,502,500,500,501,800,862,503,500,649,500,500,500,800,503,503,649,502,501,933,16,502,649,502,502,503,503,501,503,502,503,16,649,649,282,502,502,800,502,501,649,502,500,649,503,503,649,503,91,800,800,649,800,649,282,16,500,501,649,800,501,800,282,695,501,800,500,800,282,282,800,69,649,800,502,16,649,800,422,482,502,501,501,649,649,502,500,503,501,649,502,16,800,500,503,502,16,800,649,649,800,16,502,502,502,16,500,649,503,649,642,800,16,649,800,16,501,503,503,503,502,649,24,800,504,501,502,107,502,16,649,503,107,800,500,735,500,649,501,649,500,800,502,500,501,503,649,448,502,934,501,503,502,649,282,800,502,500,501,800,585,985,502,282,800,502,501,800,501,500,500,502,500,649,501,500,503,800,649,503,503,649,503,502,899,800,500,503,501,500,502,501,995,649,305,501,800,103,500,649,503,282,16,500,502,16,501,503,501,502,501,649,950,502,500,717,501,500,576,500,503,800,800,282,116,282,500,502,502,649,800,500,649,500,649,500,503,500,501,649,502,502,800,502,649,690,500,503,503,501,16,502,649,501,500,503,503,800,503,800,649,501,442,502,502,800,117,107,800,502,502,501,800,282,502,859,623,500,293,503,459,800,807,502,810,501,500,503,503,501,562,502,800,791,501,649,503,210,502,503,800,107,501,379,649,502,750,800,500,649,503,929,501,501,500,649,3,502,373,649,649,501,504,96,649,649,649,800,501,500,500,500,500,282,502,649,227,503,500,649,800,251,649,16,500,800,800,501,501,502,502,501,501,502,501,503,502,501,279,500,502,69,501,501,501,500,649,502,501,800,503,501,502,800,501,503,649,501,502,503,973,500,649,502,502,282,501,67,369,282,800,502,282,502,282,649,503,282,248,800,649,800,951,649,501,501,500,705,501,503,282,800,503,501,800,502,500,502,501,502,502,800,502,500,501,800,800,16,502,649,502,502,503,503,501,502,800,503,500,800,649,503,500,282,500,800,501,800,16,649,649,500,298,649,127,501,800,800,502,501,502,212,503,502,649,649,582,282,649,649,607,500,503,502,503,503,501,500,501,272,800,504,282,800,800,503,16,800,500,649,800,503,705,503,503,16,247,649,500,16,800,501,502,427,16,468,502,282,649,500,800,502,501,502,649,503,502,500,503,501,503,501,500,662,504,649,649,502,503,503,503,503,500,502,501,500,800,649,649,282,501,16,566,282,503,800,282,649,503,503,502,649,503,501,463,800,772,501,800,800,800,501,800,500,503,629,501,649,502,705,800,503,649,501,500,800,649,800,503,16,501,282,502,500,192,500,16,282,800,502,500,282,649,504,501,649,677,16,447,502,501,504,502,501,501,800,16,652,558,500,503,800,16,501,500,282,503,502,502,16,800,504,500,501,649,744,800,680,649,649,501,705,502,500,649,800,501,500,500,504,503,500,649,282,649,417,503,502,671,500,501,502,649,503,649,649,649,501,502,649,800,502,500,649,602,800,714,500,502,107,502,800,800,502,502,500,282,501,649,501,649,500,504,502,502,649,500,800,503,501,800,282,705,502,800,807,16,800,800,502,606,502,649,502,501,500,500,500,107,500,800,502,500,502,501,501,16,649,113,502,502,586,800,503,500,800,532,502,500,800,795,800,649,800,500,70,16,503,649,107,503,500,502,502,500,501,67,500,649,500,500,502,502,649,500,504,649,503,503,504,282,502,502,79,800,807,500,501,500,649,800,649,594,581,503,800,649,800,501,282,503,282,282,649,503,501,800,502,800,502,501,503,503,500,800,503,649,502,500,16,501,800,500,502,282,502,503,649,649,107,503,500,502,536,800,500,421,502,883,649,501,501,800,503,649,282,282,800,800,502,800,503,501,500,282,500,115,649,282,502,500,180,502,370,800,500,503,504,649,800,107,800,103,605,503,811,503,649,501,501,504,300,854,501,649,500,503,501,501,282,500,500,500,503,501,800,404,755,503,502,282,500,503,184,501,500,649,502,649,282,649,503,800,800,13,162,800,817,649,649,503,500,107,502,649,500,503,956,649,649,525,501,502,800,502,500,501,331,502,649,504,800,800,500,649,500,800,649,800,505,800,502,16,501,800,503,500,502,503,502,500,282,502,800,501,504,503,282,501,649,665,800,503,649,649,800,500,502,700,504,503,649,643,250,649,503,649,800,794,500,502,649,501,502,501,504,442,500,649,800,502,249,846,649,501,503,256,800,501,503,800,800,800,500,500,501,800,282,503,500,649,282,57,501,16,503,619,107,282,503,649,500,800,503,282,649,649,649,649,282,800,215,501,649,503,323,227,411,503,672,504,500,503,505,501,503,502,649,282,649,649,649,503,503,501,503,501,500,649,501,107,800,500,649,502,649,800,800,282,800,800,500,504,502,502,834,501,503,503,501,501,649,649,62,501,800,501,500,705,501,500,500,800,16,502,502,503,23,800,501,500,282,500,502,502,500,502,503,800,502,500,503,500,800,502,282,501,16,502,503,503,649,282,649,500,649,500,501,649,500,800,502,388,501,501,503,501,649,504,446,503,16,500,800,282,503,502,16,800,500,649,800,503,502,800,501,458,800,429,501,649,16,501,500,502,800,23,503,800,649,282,501,16,501,502,800,501,649,486,282,800,129,649,502,800,649,705,503,501,800,502,649,502,503,282,500,274,649,73,800,501,503,16,500,503,503,282,501,501,501,501,503,649,500,800,649,502,800,502,500,500,503,649,800,726,649,325,503,500,501,282,800,800,649,800,500,500,649,800,500,649,800,503,501,158,503,502,501,501,501,649,16,500,800,800,501,503,502,502,649,405,501,502,501,649,305,649,500,16,502,681,502,503,503,502,814,649,282,500,503,694,500,459,649,918,649,649,501,159,625,500,501,16,502,800,649,503,282,503,649,800,800,854,532,502,649,155,649,502,500,502,800,282,503,503,500,501,502,282,138,649,502,503,800,800,16,75,501,320,195,687,649,649,237,649,501,503,502,17,714,411,649,980,800,503,649,282,501,649,503,860,501,500,503,282,501,649,503,649,501,501,500,649,16,501,16,108,649,327,501,16,502,148,282,232,502,877,502,502,500,503,786,649,501,649,282,502,626,501,282,544,800,800,380,501,501,501,503,621,906,501,502,649,503,800,800,502,501,649,16,800,500,501,16,800,500,800,282,500,501,649,649,502,16,502,500,800,501,459,503,504,501,282,649,504,501,469,546,501,68,282,500,282,500,282,503,800,800,503,649,107,500,581,649,500,550,649,500,502,502,16,502,503,500,649,503,501,503,800,713,500,282,649,500,710,988,649,282,501,500,800,319,16,502,282,503,500,503,500,800,501,502,501,504,649,500,501,800,282,800,623,502,501,500,800,132,800,502,503,501,16,503,504,16,83,503,501,649,500,908,649,503,649,500,800,338,649,16,500,500,800,503,813,501,282,852,500,502,503,501,502,800,502,500,800,501,500,502,649,503,800,501,649,500,500,282,649,500,800,503,649,500,800,502,16,501,705,500,282,503,501,502,502,501,800,503,501,649,800,317,501,16,16,504,502,500,502,503,282,649,305,502,503,282,504,800,649,800,255,107,503,155,501,376,503,800,504,649,16,649,426,800,649,649,503,282,501,503,500,282,500,502,502,649,502,649,282,503,111,233,503,500,800,107,282,649,800,800,865,503,649,503,800,502,282,649,16,500,501,500,502,630,501,503,800,800,501,502,649,502,813,502,16,16,501,503,502,501,501,649,649,649,282,924,800,501,500,649,649,103,501,500,502,282,649,282,649,500,282,503,800,502,797,649,501,649,649,649,503,282,501,649,502,500,502,282,503,282,503,500,500,501,649,501,502,649,241,502,500,282,800,282,500,503,962,696,800,501,501,649,649,800,501,800,705,500,649,500,649,800,649,500,985,649,501,392,800,502,500,501,800,501,649,502,503,1000,501,16,800,16,649,501,502,504,16,503,501,768,575,649,933,501,503,500,500,282,504,503,800,501,500,103,503,500,500,503,502,502,503,503,800,503,503,800,502,500,501,16,282,649,501,500,800,649,800,501,503,500,500,500,800,16,800,16,501,503,502,637,503,500,649,502,502,705,502,800,800,282,503,282,502,282,800,800,502,800,502,822,501,649,501,500,502,649,800,649,502,649,649,500,800,500,503,504,502,726,500,503,501,282,501,320,501,435,500,593,503,649,795,282,501,705,502,501,540,649,649,800,16,800,501,503,856,749,503,501,501,800,282,502,500,807,649,964,649,501,674,649,502,501,649,503,503,328,503,183,501,800,805,800,501,260,502,649,649,503,500,503,500,502,503,502,501,800,649,909,500,502,649,500,16,800,18,768,501,503,800,502,800,502,500,502,649,502,800,501,503,501,649,329,282,107,649,501,98,282,500,649,800,649,649,275,500,503,78,282,800,503,800,117,282,649,502,502,500,502,929,503,282,800,502,500,502,800,501,886,649,502,800,800,501,800,501,500,282,649,649,282,503,800,503,503,669,649,649,500,500,503,649,502,501,800,501,800,501,625,649,649,501,500,921,500,16,501,800,800,501,502,649,500,501,500,649,800,800,297,501,502,503,502,107,502,800,649,800,649,649,503,502,523,501,502,649,500,501,502,503,282,800,501,502,800,503,500,649,502,649,500,500,282,800,31,800,503,502,503,500,500,393,800,122,502,16,500,631,16,543,502,500,501,16,800,76,502,502,800,649,938,282,503,649,500,705,649,284,649,503,502,800,800,800,258,503,844,649,501,800,503,649,501,649,503,800,501,501,501,502,771,429,500,649,500,501,800,649,282,502,649,800,503,649,800,503,864,500,502,800,649,503,502,503,502,800,500,503,503,502,902,649,501,91,504,500,500,502,501,649,800,649,800,800,503,16,68,16,468,282,500,502,800,503,503,649,649,16,503,503,501,500,502,502,503,800,501,807,502,649,735,500,333,500,503,500,503,649,282,501,282,501,502,501,649,825,503,502,113,649,503,800,502,503,16,949,500,496,502,501,800,501,922,107,649,501,501,800,107,133,501,501,501,282,500,16,503,800,502,16,502,282,503,501,199,16,503,502,502,649,800,501,501,834,500,502,800,800,16,16,800,649,956,845,500,589,503,502,502,800,502,503,649,649,500,501,501,282,282,503,501,503,502,501,619,103,501,877,107,282,649,503,501,649,503,503,502,16,500,501,502,715,501,755,649,503,500,282,800,500,240,803,282,502,502,501,800,501,503,800,800,800,800,503,502,500,649,721,501,232,32,800,562,500,502,153,500,501,800,800,503,501,649,502,606,649,57,503,501,503,500,500,503,503,400,501,649,500,503,500,503,500,501,282,200,674,437,502,500,193,800,282,800,501,282,500,800,502,414,649,500,501,314,800,649,800,501,504,503,800,501,500,800,504,282,649,503,503,501,282,14,502,503,501,282,504,758,800,800,61,503,733,231,503,282,502,503,16,503,501,649,595,501,503,586,502,501,502,800,501,503,355,649,500,838,503,220,500,501,503,501,800,649,800,262,501,800,800,501,800,503,800,16,289,649,502,501,800,800,501,649,800,501,800,500,660,500,745,502,503,500,500,800,336,503,500,503,649,58,800,282,500,502,649,502,800,501,501,282,503,649,649,16,502,501,282,501,501,649,800,501,16,107,503,503,501,502,502,501,934,800,282,502,649,282,503,503,503,16,500,800,282,649,800,500,501,800,800,649,16,502,501,501,503,282,649,526,282,503,503,501,502,800,800,649,500,503,649,282,664,501,501,501,818,500,501,503,639,501,503,502,500,2,501,282,16,503,501,500,218,501,500,503,282,501,503,800,500,500,502,649,500,500,282,500,510,282,282,649,800,800,646,800,649,502,649,649,649,649,501,503,825,501,649,502,503,504,649,504,485,649,503,800,500,500,501,800,649,800,503,501,649,502,649,800,502,503,501,800,500,282,800,501,501,130,500,16,649,503,16,261,649,503,503,16,500,800,800,800,800,500,500,457,501,500,502,800,705,282,130,16,800,327,500,975,501,501,502,502,103,501,282,502,500,649,897,341,328,16,107,502,29,502,269,282,649,649,501,502,800,800,800,282,501,504,502,699,800,611,502,649,800,16,107,502,502,649,282,504,503,500,502,748,503,642,503,16,18,107,502,501,994,282,16,503,503,650,649,501,501,501,501,503,338,502,500,504,501,16,502,504,800,503,500,503,502,282,800,282,500,501,501,502,500,503,649,501,656,502,649,107,501,282,500,503,500,500,502,282,500,502,282,500,282,501,800,107,503,503,501,502,670,501,800,785,649,501,800,116,282,502,107,502,500,649,500,491,649,649,501,500,649,16,502,800,609,501,503,16,501,500,501,960,649,288,501,501,501,220,282,640,503,800,649,174,502,282,16,649,501,16,494,503,323,800,282,502,503,800,800,649,649,141,800,800,501,866,649,166,500,800,308,500,503,503,649,800,503,503,501,503,800,502,800,502,940,800,973,502,502,649,649,500,503,501,417,502,800,500,501,503,800,16,800,500,504,500,800,800,282,504,502,800,16,649,282,800,501,502,800,501,501,146,503,500,800,503,819,649,503,500,502,502,800,500,503,503,439,649,501,800,503,503,800,666,500,800,16,502,282,649,500,503,501,800,501,649,366,800,837,500,107,800,103,250,282,502,503,503,282,500,649,502,500,501,325,800,649,504,502,502,800,501,501,504,500,502,502,800,503,649,103,503,527,800,800,832,954,501,800,500,501,500,800,649,502,504,16,500,800,500,502,282,502,537,502,501,503,649,502,486,501,282,282,501,502,800,800,501,502,501,546,503,812,500,501,503,800,651,192,501,800,501,800,970,282,502,107,501,800,503,503,649,504,502,586,501,649,687,502,649,243,504,503,282,16,649,282,286,501,800,409,649,16,649,488,503,195,501,500,995,500,500,649,282,800,649,503,501,501,282,503,502,649,649,500,649,95,197,503,801,649,503,241,528,500,76,503,503,282,649,16,16,421,282,500,502,800,800,649,503,500,502,16,500,502,800,504,503,503,800,501,501,501,282,649,502,800,966,501,39,34,503,503,74,729,670,501,800,503,691,502,504,800,16,503,16,649,301,500,503,649,503,501,800,282,500,16,649,502,649,16,500,501,282,501,500,503,800,72,282,800,843,649,649,500,503,500,103,800,503,500,501,502,501,649,503,649,649,501,800,800,502,502,502,800,649,882,500,504,503,501,282,800,503,800,649,282,502,500,502,649,502,800,501,503,649,500,502,918,501,282,501,500,500,800,800,502,500,282,501,800,502,502,504,501,800,503,500,501,649,303,500,502,649,503,503,800,800,501,503,649,502,800,517,672,503,800,800,504,502,355,800,501,800,502,500,282,282,503,501,282,502,502,554,500,503,649,503,502,500,282,500,501,500,503,500,451,800,800,288,500,649,501,438,501,282,502,800,800,502,503,502,727,502,282,282,501,282,800,649,500,800,501,500,649,503,503,649,502,282,503,500,502,503,632,500,502,649,502,800,503,649,501,503,649,966,502,649,282,500,808,500,502,649,800,500,502,503,800,503,649,501,502,503,649,501,502,800,282,489,19,500,503,347,503,501,800,800,800,800,503,154,500,792,103,282,500,502,501,503,501,16,651,501,503,800,282,225,503,649,502,500,273,501,500,500,649,501,649,670,800,988,927,502,800,800,502,800,649,500,503,608,500,500,500,502,503,800,649,500,503,503,800,649,502,649,282,503,503,649,500,282,502,800,504,502,649,649,500,800,649,16,531,502,800,831,500,800,503,649,649,389,502,503,649,500,406,701,501,502,721,503,503,333,282,107,485,501,16,800,204,500,800,503,503,501,800,649,501,649,282,503,996,474,502,649,500,503,800,502,503,500,502,649,649,502,800,800,649,649,125,568,502,16,649,502,500,500,501,738,800,502,800,501,502,5,503,859,500,503,489,800,502,500,503,503,503,503,500,502,587,709,500,705,502,502,504,503,282,501,800,503,282,503,502,649,649,16,800,502,501,500,800,500,649,500,502,649,500,800,501,800,370,649,500,16,502,260,500,800,800,500,500,502,504,502,503,500,501,379,649,503,500,9,800,648,500,501,800,500,501,500,649,501,678,503,500,503,800,16,502,501,824,503,501,504,649,502,502,649,501,503,649,800,134,282,649,595,502,500,649,502,502,672,649,68,800,800,503,500,649,16,502,502,502,503,501,502,503,500,500,512,800,800,383,500,649,501,282,449,502,502,384,282,649,501,649,649,501,800,800,500,500,502,502,502,353,649,282,282,719,503,503,501,800,469,504,282,16,500,502,500,501,32,880,502,282,502,800,649,16,16,649,649,500,500,502,800,503,501,503,500,428,773,501,500,500,16,502,756,502,500,649,503,800,502,501,649,500,800,421,649,502,502,961,502,501,800,282,800,282,649,500,649,800,800,800,441,800,800,87,800,16,500,503,503,502,800,500,500,800,502,282,800,649,502,649,800,500,500,16,169,107,503,876,502,504,500,502,800,503,502,503,52,282,500,217,500,282,800,282,503,502,800,270,282,210,649,502,103,649,502,500,502,462,924,504,208,501,500,282,501,502,649,649,501,502,503,649,502,502,857,500,321,657,800,503,501,487,649,16,649,503,649,649,500,282,500,723,800,362,500,282,16,500,500,649,800,659,649,474,503,501,688,500,502,500,502,500,800,500,503,649,501,800,800,500,501,649,501,800,500,880,282,282,500,649,667,800,503,800,649,502,503,500,500,649,800,800,282,800,500,501,436,501,800,503,501,341,800,501,502,502,334,649,649,920,502,945,649,649,800,920,282,501,503,500,503,590,282,800,291,502,500,500,503,500,500,282,649,501,5,501,500,321,503,800,502,502,502,66,502,503,649,282,500,800,800,800,649,500,800,800,16,501,502,502,649,500,501,502,800,503,800,501,72,500,649,800,501,800,649,504,649,500,155,649,874,103,807,800,501,501,577,503,503,800,503,501,501,282,500,502,502,668,503,16,800,282,502,649,267,501,500,501,501,282,649,282,282,503,501,380,800,504,501,649,502,800,649,800,503,503,810,282,111,649,649,649,501,503,500,501,502,72,649,500,884,501,800,282,91,194,501,500,503,502,972,649,649,503,500,649,251,649,649,503,649,649,649,503,649,800,649,501,501,649,16,502,800,500,502,16,649,503,502,500,500,649,502,800,500,501,501,500,502,800,16,178,282,649,509,649,502,503,649,500,16,649,503,500,800,503,884,649,282,500,501,503,800,649,503,800,501,800,503,335,800,503,800,500,16,107,503,593,800,502,800,501,500,23,504,503,501,649,800,502,800,502,500,649,271,503,182,500,502,503,800,109,500,396,282,501,501,501,104,800,280,922,503,503,649,649,502,800,800,282,649,502,649,649,500,503,502,502,649,502,501,282,282,282,502,282,501,800,649,501,649,503,500,500,800,502,432,282,800,503,649,204,649,16,282,501,299,502,503,282,16,502,800,649,500,459,501,501,649,800,16,501,500,800,501,16,649,649,501,502,502,502,503,501,16,503,800,501,504,500,649,501,500,155,649,500,502,649,282,800,16,311,742,502,800,503,503,501,503,502,800,503,387,800,282,501,502,16,503,930,649,500,699,649,282,500,500,649,800,649,800,500,649,500,649,800,841,800,800,282,649,239,800,800,649,502,282,801,500,503,800,503,503,649,800,501,503,203,502,813,503,500,800,501,502,503,16,800,500,358,103,503,503,503,502,800,800,503,501,649,501,649,649,503,282,501,502,16,503,503,503,16,16,282,502,62,500,800,503,800,800,503,282,500,800,500,501,502,649,504,649,500,502,800,103,502,502,800,16,16,16,502,16,500,800,649,502,16,502,502,502,503,501,500,503,507,500,800,66,800,501,503,503,502,649,501,500,409,501,398,500,500,282,501,502,649,500,649,501,912,827,800,503,503,800,282,800,710,800,500,502,502,800,502,500,503,500,308,45,504,501,503,282,503,502,503,927,16,500,501,649,501,800,501,32,649,500,502,924,649,500,503,501,800,974,502,504,503,500,282,503,649,649,503,502,16,502,501,16,502,649,649,502,800,500,287,502,501,503,502,501,649,500,649,282,500,503,502,950,500,107,502,503,966,501,502,800,503,709,282,501,800,503,800,503,800,504,649,500,502,501,502,538,800,800,502,282,16,649,501,649,503,282,503,23,649,503,504,649,800,466,501,282,502,503,649,502,500,503,500,800,500,502,501,800,800,800,502,282,502,502,282,800,504,70,503,649,501,500,16,501,502,16,501,500,503,503,107,800,500,282,649,282,282,502,503,502,502,800,282,501,282,16,649,800,800,503,500,649,649,502,500,500,502,501,282,16,502,501,107,282,282,800,500,649,503,800,649,282,500,503,286,503,800,500,478,649,501,800,649,502,503,500,500,501,501,649,503,103,800,282,800,501,282,649,624,500,502,16,800,502,500,649,502,504,323,649,503,500,503,282,649,502,649,800,503,503,282,614,502,649,16,800,503,649,503,500,649,500,400,500,800,649,501,800,649,649,502,502,800,504,649,501,500,503,500,501,501,649,503,501,502,502,501,649,503,502,503,504,501,503,800,502,502,502,503,282,500,503,502,800,501,502,464,282,649,800,649,649,649,301,501,282,503,696,502,502,502,502,800,500,501,503,705,800,500,282,502,649,800,19,800,649,649,504,327,502,502,502,501,502,649,503,506,503,503,500,397,503,500,649,500,282,649,800,503,503,501,282,501,502,649,467,503,501,503,501,282,800,503,502,800,502,503,501,504,503,502,164,800,501,503,282,500,800,503,649,501,502,502,800,501,500,649,503,501,649,800,500,500,500,649,502,500,501,500,321,282,503,501,800,800,867,501,800,800,649,503,501,282,500,502,936,203,501,502,501,762,800,503,503,800,800,502,503,282,520,899,502,500,800,501,500,363,649,800,503,503,500,503,503,503,500,504,800,529,649,503,16,502,446,502,16,803,649,502,500,649,503,649,500,649,282,470,500,746,282,502,503,417,502,353,800,501,649,649,500,500,501,502,282,16,282,800,481,649,800,800,503,800,800,800,502,791,502,800,800,649,800,277,282,103,16,800,502,649,770,611,282,800,500,503,503,649,503,501,800,362,800,800,800,501,684,502,675,500,503,968,800,502,800,800,500,502,502,282,800,800,649,16,504,16,501,800,502,482,800,649,502,500,31,503,503,503,107,271,42,811,649,500,502,500,282,800,254,500,502,500,649,503,502,649,280,501,800,500,800,502,800,807,800,502,503,502,35,800,501,503,649,503,503,649,107,502,501,851,800,800,501,800,237,503,500,501,646,649,800,337,503,649,16,500,500,649,503,502,649,794,501,16,503,16,649,11,282,502,649,800,634,500,800,500,502,198,649,501,501,197,16,649,502,800,800,800,501,501,800,502,501,800,282,502,503,800,501,500,501,282,282,502,804,282,502,800,502,107,16,500,800,501,502,282,500,504,500,502,707,501,649,800,502,503,282,501,649,800,501,501,649,800,502,502,503,649,149,705,800,16,282,502,500,501,503,502,503,800,500,502,282,649,502,500,282,501,501,500,501,503,504,649,502,503,501,501,282,649,502,502,649,500,501,649,504,649,501,649,649,501,500,649,501,282,502,500,501,501,503,501,16,800,800,649,282,649,500,800,6,502,649,800,649,503,503,800,282,957,16,500,800,282,502,700,502,504,500,503,501,282,500,800,503,502,502,500,501,501,501,501,649,649,16,800,649,282,890,503,500,501,502,500,502,502,282,501,500,501,649,502,282,800,500,649,16,501,502,500,649,502,649,501,800,649,45,502,502,800,503,501,500,649,649,45,800,502,649,649,282,800,35,503,649,649,500,501,504,163,800,649,502,502,16,649,649,282,16,502,501,339,503,649,501,800,517,800,500,503,800,502,500,500,16,502,502,502,715,107,502,502,333,502,500,800,221,16,500,500,501,501,502,649,800,500,500,502,500,501,502,501,800,500,649,501,282,502,800,728,504,504,501,200,502,501,16,282,649,503,503,503,500,800,649,649,649,550,800,282,800,282,501,506,282,800,500,501,500,500,282,40,800,503,500,800,504,504,502,500,800,334,500,503,649,503,501,800,503,649,501,800,738,503,649,800,282,676,649,649,502,500,501,502,503,162,503,501,501,800,649,502,503,800,502,980,502,649,500,502,800,937,500,503,504,500,503,649,216,649,800,503,501,282,649,502,282,649,800,502,540,949,649,649,800,502,399,503,503,503,649,649,282,501,282,502,16,840,800,649,502,649,501,500,800,501,800,800,16,649,504,500,500,800,501,501,800,16,800,800,500,540,501,500,361,503,501,282,10,800,126,107,800,16,502,800,282,500,504,500,501,181,800,501,501,649,504,969,649,502,503,800,500,503,503,800,503,503,16,503,800,501,282,501,501,800,802,800,800,649,649,649,501,800,649,501,282,500,691,501,800,649,16,800,649,501,800,501,800,501,649,16,103,282,239,193,800,500,500,503,16,800,282,503,800,649,501,649,504,502,800,705,501,500,500,107,503,500,500,506,649,107,548,800,649,16,502,649,800,503,502,501,800,649,649,501,500,870,800,649,501,501,800,649,282,503,800,16,649,501,16,384,504,800,649,649,500,649,277,649,503,649,352,502,625,538,649,208,427,649,500,503,762,282,11,481,503,800,500,649,282,800,500,502,501,502,503,501,487,800,282,649,501,503,649,503,649,502,800,503,649,884,502,800,800,502,502,501,282,239,176,800,500,503,502,16,502,16,649,500,502,934,800,501,800,800,501,501,503,503,282,372,503,503,501,800,16,502,501,16,503,503,178,16,800,501,500,503,518,503,649,800,649,500,503,282,500,16,800,649,500,503,896,800,282,502,503,504,502,55,800,318,282,500,500,184,16,649,502,800,501,800,800,185,503,502,649,502,502,500,800,800,501,502,649,718,503,503,438,503,282,800,502,800,16,282,649,649,500,800,500,502,282,503,502,107,800,282,688,504,503,501,501,502,397,800,501,501,38,596,501,649,502,501,502,16,649,500,800,501,259,500,500,503,649,500,500,503,956,501,500,800,668,649,502,649,176,501,800,649,111,502,649,649,502,501,536,502,502,282,503,501,500,16,800,649,103,503,500,800,206,501,802,503,503,500,800,649,649,500,502,649,501,501,503,501,282,500,282,501,800,502,282,500,503,886,16,500,649,800,318,242,502,503,502,500,800,806,823,501,501,282,503,282,502,282,576,803,502,800,504,800,342,649,500,16,16,502,282,282,561,16,800,502,649,649,649,100,800,282,903,502,791,501,502,500,502,500,501,508,282,131,500,500,891,282,502,800,973,350,649,800,494,316,724,501,502,406,800,16,800,503,649,818,649,83,39,501,282,649,502,799,649,502,500,479,282,57,500,503,16,866,502,502,500,649,501,965,502,649,649,502,800,16,501,867,502,649,649,927,502,649,502,501,502,317,282,502,800,649,800,500,500,649,500,503,705,501,214,501,800,282,16,894,705,501,778,611,501,982,502,500,502,649,282,500,800,500,226,645,503,449,800,800,503,800,484,800,649,309,500,800,282,501,503,800,800,405,503,800,502,800,500,649,500,649,16,800,504,502,504,501,502,16,503,282,144,502,500,500,16,800,171,501,500,16,502,330,167,501,649,16,500,501,649,282,503,500,503,500,649,461,500,800,282,502,503,501,502,800,282,503,494,282,500,800,500,502,649,877,500,503,282,503,800,501,306,800,649,649,961,502,500,501,800,500,503,800,501,649,649,500,500,16,500,282,503,501,703,502,503,502,501,800,501,649,504,718,501,501,270,124,633,282,503,800,503,800,501,500,282,282,503,502,282,649,107,502,649,501,502,502,16,502,585,501,830,500,135,503,503,502,501,502,500,29,282,649,502,500,503,503,501,501,777,503,649,504,501,282,570,800,649,800,800,800,503,800,500,500,16,501,800,540,502,800,130,500,282,502,502,501,501,282,503,501,500,500,649,649,503,964,501,500,282,800,500,16,501,501,763,502,649,503,649,502,649,649,282,501,50,501,649,649,502,501,282,282,500,501,705,503,800,500,800,500,673,503,500,107,500,800,501,649,500,939,503,501,103,649,120,649,501,649,273,502,501,16,502,649,504,282,501,502,500,501,501,501,52,503,500,503,502,502,103,501,501,193,649,502,500,649,501,62,502,500,503,800,502,503,282,500,503,500,501,894,3,649,500,649,282,800,800,16,800,800,886,800,712,503,800,800,558,500,649,500,504,800,649,502,800,504,502,503,29,16,107,800,800,649,503,500,282,800,500,500,501,502,503,500,502,501,282,500,501,107,649,992,500,500,649,502,502,282,503,501,500,711,178,502,282,800,649,16,500,503,482,502,503,156,649,501,500,501,140,800,649,282,282,649,800,800,502,502,800,649,800,502,968,15,282,500,502,926,502,5,503,502,649,676,501,502,282,800,502,501,502,560,500,502,502,503,800,366,500,502,282,504,500,503,501,501,500,800,503,502,501,500,501,800,649,500,500,649,566,503,500,282,313,282,649,166,649,503,501,800,503,501,502,649,503,800,500,500,282,800,282,401,500,800,501,503,501,800,769,649,502,800,504,649,800,500,502,282,501,649,649,282,502,502,282,729,500,501,649,649,501,501,503,800,111,501,503,649,649,503,649,649,503,500,503,649,649,82,649,500,502,500,800,500,103,501,502,649,500,503,502,170,504,800,503,500,649,800,501,501,282,501,800,649,713,501,503,501,649,503,852,282,107,500,800,502,41,503,500,501,504,16,501,502,383,501,501,503,502,502,503,501,649,103,649,656,610,649,504,501,271,501,705,501,986,500,503,503,649,502,649,504,649,503,649,800,503,502,282,282,500,500,501,282,16,282,503,502,724,800,501,502,500,282,282,649,649,282,504,190,502,502,282,502,502,501,17,500,16,502,800,16,500,282,500,164,500,800,501,501,500,800,649,501,800,239,501,694,500,504,800,800,800,800,500,929,503,192,502,800,501,500,503,501,649,800,348,502,504,503,501,107,502,37,503,246,503,502,503,502,503,649,500,16,502,282,800,500,500,504,500,503,501,501,501,501,500,649,500,16,503,649,646,374,500,282,501,503,705,800,649,800,649,502,500,800,503,800,800,502,504,282,500,502,425,800,500,501,649,800,637,744,501,501,502,501,500,649,649,800,800,16,501,800,502,502,649,74,282,800,500,500,502,500,282,501,649,503,501,503,500,107,800,501,500,501,649,502,649,282,766,817,176,504,502,862,800,504,800,282,501,503,649,282,501,502,503,649,503,503,503,738,590,501,501,649,282,501,502,503,649,649,254,925,800,500,500,500,503,548,800,503,500,282,503,503,502,53,800,282,502,500,16,503,68,649,282,501,501,800,501,501,500,502,800,34,502,502,649,501,502,82,649,501,501,800,503,800,282,649,503,503,649,503,91,501,282,907,66,501,501,16,800,500,502,20,503,867,800,107,649,500,16,800,607,503,503,649,649,503,800,800,649,501,649,800,800,649,649,649,800,800,649,500,866,282,503,502,501,800,800,649,502,649,500,501,336,873,16,503,500,503,800,800,502,800,282,282,500,649,282,16,503,500,649,503,502,502,501,502,649,800,502,501,502,649,500,649,649,800,16,500,570,282,951,503,97,501,740,502,951,649,10,649,500,107,501,502,282,501,502,501,649,502,800,502,501,165,167,16,642,649,800,800,500,928,500,501,502,333,800,282,501,500,503,501,649,800,282,800,500,501,649,649,684,503,501,500,869,649,482,525,502,500,282,500,800,503,500,503,501,503,800,649,282,501,503,800,501,501,649,677,504,501,670,502,501,649,649,320,500,282,503,500,16,800,503,282,454,16,282,649,649,16,782,705,649,649,501,800,501,503,800,502,255,502,708,800,649,501,500,501,503,501,649,500,502,800,800,649,649,939,282,16,501,500,800,800,505,282,500,16,695,825,800,800,107,857,733,500,500,503,502,886,502,107,501,635,501,501,16,960,649,500,282,258,800,503,501,649,502,503,501,809,501,503,800,500,501,16,694,282,500,649,503,649,502,503,501,16,502,784,800,800,16,502,502,501,503,800,800,285,800,503,282,649,946,268,329,500,100,56,504,800,503,502,96,500,502,782,649,349,503,502,710,501,800,501,500,500,649,739,821,649,502,649,503,649,503,282,800,503,16,553,800,16,500,195,705,103,500,16,387,501,500,502,649,977,502,177,909,259,503,800,500,500,502,370,503,492,800,501,393,721,800,463,649,503,501,500,501,800,500,502,502,800,847,344,87,649,502,282,502,800,502,502,500,503,649,640,649,281,16,649,649,649,792,500,503,115,500,649,649,55,800,649,500,320,185,504,881,501,500,776,383,800,503,501,503,501,501,649,282,282,501,800,502,500,503,503,649,500,503,500,800,800,502,856,500,896,800,204,435,649,282,800,649,503,649,896,649,800,500,502,282,849,800,692,800,649,502,282,502,501,649,502,649,649,649,800,800,649,426,291,501,800,282,503,800,501,500,504,282,344,501,103,800,503,500,501,503,282,503,320,867,501,500,485,502,500,500,72,282,16,501,503,500,503,16,503,501,16,500,502,688,649,503,800,466,649,846,500,500,501,800,107,16,649,503,502,502,500,500,501,500,500,500,501,501,800,501,800,800,649,553,800,501,501,500,501,649,800,503,133,800,280,501,502,502,780,301,504,501,500,502,503,290,649,500,501,501,16,231,16,502,502,502,282,501,500,216,501,857,800,282,846,800,502,485,502,649,501,649,503,649,673,500,502,500,103,649,500,814,282,649,500,503,236,800,500,800,800,649,500,501,103,503,649,282,282,649,501,502,800,501,800,503,501,978,282,649,800,918,16,500,503,555,503,592,503,503,502,503,502,555,282,503,503,649,976,503,501,800,501,122,649,504,22,502,500,502,501,502,501,503,800,800,500,502,503,500,501,16,649,649,649,501,501,503,501,502,503,500,103,282,502,500,800,500,649,800,501,649,502,503,16,502,502,649,501,503,800,649,800,649,501,16,500,501,500,501,500,103,502,649,500,503,282,502,503,503,502,501,502,66,503,500,649,500,502,843,649,730,502,501,928,282,501,502,501,503,889,800,800,502,503,502,500,503,502,503,16,382,800,503,818,500,535,800,800,502,500,500,501,501,789,500,503,501,501,455,500,503,649,800,649,800,107,800,502,502,649,649,503,800,503,800,500,503,649,504,502,16,649,282,503,649,649,705,649,501,100,800,282,500,500,800,800,800,649,649,16,501,501,500,500,501,502,161,500,649,500,698,503,834,649,501,800,503,649,502,800,282,282,82,500,649,649,733,84,501,282,503,649,16,800,649,649,800,282,282,502,482,502,649,501,649,503,282,136,501,649,502,504,502,501,500,544,503,652,16,282,503,649,502,501,500,501,500,800,500,501,800,503,500,649,500,791,500,503,108,649,16,501,501,503,502,502,553,501,502,649,649,502,748,800,282,500,500,503,282,500,16,649,797,649,649,649,502,649,501,649,348,503,800,840,501,501,347,500,500,800,282,705,649,503,502,649,502,282,754,502,501,107,503,500,649,649,501,503,502,649,502,649,800,503,501,503,800,649,649,502,500,503,282,503,73,649,649,874,503,500,649,500,800,504,123,649,502,501,879,502,282,800,423,16,502,16,800,502,502,501,800,628,502,503,866,282,416,452,502,502,649,16,649,649,800,503,503,462,16,503,800,501,735,281,503,295,504,444,500,353,501,649,501,502,282,500,501,31,503,501,724,504,800,501,282,504,414,501,545,500,649,503,501,800,504,282,649,503,800,502,503,649,500,800,500,502,501,428,649,16,282,649,341,503,500,500,501,207,800,819,16,500,501,649,500,501,245,500,16,282,502,649,500,282,500,800,282,502,800,16,504,501,502,501,502,500,649,649,905,800,503,554,649,16,619,503,800,16,501,503,649,501,500,29,501,800,60,501,282,115,500,501,282,705,502,501,800,500,282,504,800,800,500,649,501,282,501,501,501,502,649,500,500,649,503,501,500,725,501,500,649,246,503,503,800,503,800,502,503,103,490,649,800,500,501,649,800,649,282,649,503,800,282,502,501,439,502,503,800,825,649,80,649,800,501,504,649,502,502,501,503,282,649,649,500,502,800,503,14,800,103,649,282,800,504,502,800,107,599,800,501,282,204,498,16,282,502,500,501,800,649,800,500,282,347,500,502,503,800,500,189,800,800,500,500,649,500,800,16,501,502,800,501,649,649,501,503,501,800,502,503,649,636,800,500,649,502,501,504,501,399,500,503,501,649,800,503,502,282,501,501,501,800,500,501,502,823,282,800,38,636,649,800,649,886,800,500,800,945,649,500,649,282,503,800,504,504,503,700,649,649,502,800,501,282,503,649,213,500,103,502,649,501,503,867,504,502,500,649,503,502,500,503,282,500,649,649,649,502,502,800,800,502,503,874,502,502,502,500,501,501,800,500,502,503,800,649,501,649,282,500,649,800,503,672,685,502,503,377,502,800,649,800,501,503,503,649,241,16,500,500,649,503,503,649,599,800,502,649,502,649,16,500,649,503,800,800,282,502,800,617,282,502,282,500,500,16,250,500,500,502,349,649,123,500,501,502,649,500,500,103,503,501,501,501,503,502,765,649,503,800,16,282,649,501,500,649,107,501,649,103,269,500,503,504,503,649,800,16,500,502,244,501,282,16,483,503,649,602,800,16,800,503,501,258,500,800,649,648,995,502,267,800,29,500,800,649,500,502,503,501,966,800,175,859,501,504,649,282,503,503,500,500,800,500,502,649,929,649,308,783,800,649,501,501,649,502,282,282,800,649,649,800,282,977,503,500,282,501,800,375,503,60,16,282,649,501,804,502,500,502,282,16,800,503,502,504,501,501,826,500,649,501,282,649,649,800,649,468,504,282,501,501,254,500,16,30,107,280,282,500,502,649,501,500,282,800,800,501,503,649,800,649,502,817,500,800,501,800,503,502,502,500,500,504,500,502,800,800,282,501,500,390,500,503,800,501,500,502,16,587,501,800,800,503,649,500,501,503,500,800,800,16,501,800,282,321,500,225,282,501,717,800,500,502,503,502,282,649,502,501,705,503,500,107,504,800,503,103,720,500,503,503,800,502,463,503,503,244,800,500,927,503,778,501,722,500,502,649,501,500,800,500,503,282,501,800,282,107,500,875,282,103,800,502,500,349,500,282,800,501,16,932,282,502,577,502,16,504,503,501,649,500,500,800,502,502,500,649,649,502,503,649,501,502,501,649,800,485,842,500,500,800,649,500,501,16,649,500,503,561,649,649,649,282,501,502,503,500,649,282,649,501,649,800,800,649,501,649,800,444,500,502,500,501,649,107,532,800,502,800,501,649,649,800,503,772,649,753,282,16,649,503,649,500,500,503,500,503,785,282,800,649,502,800,500,16,501,282,503,223,501,502,649,503,503,107,107,425,503,800,500,501,503,500,502,649,205,282,503,503,500,501,649,800,504,502,649,500,500,358,800,800,282,502,282,500,800,503,800,500,806,501,800,502,649,422,761,649,282,16,502,501,800,504,502,800,800,502,503,503,500,501,629,122,503,514,500,502,500,503,649,503,800,282,500,476,502,503,500,501,500,500,500,504,500,649,503,503,501,800,502,502,282,16,500,16,282,503,502,504,502,800,800,649,919,282,649,649,501,649,682,649,500,503,502,503,16,500,502,466,649,649,800,500,500,500,649,800,649,800,500,184,783,500,649,501,282,16,500,16,800,502,503,282,499,800,107,501,501,649,535,635,800,501,282,500,861,79,504,503,107,16,649,101,503,502,282,500,282,649,500,800,649,503,500,502,290,501,503,501,672,800,16,649,502,502,503,800,800,839,32,103,282,502,503,501,500,800,940,649,503,800,649,800,282,800,501,800,503,503,503,501,501,500,800,502,800,649,282,16,800,502,800,500,16,800,458,649,500,502,502,800,503,502,500,502,800,501,503,800,107,500,800,800,501,107,503,503,282,800,282,282,649,649,16,502,502,500,705,649,501,800,282,649,504,500,501,649,577,800,248,16,500,564,16,500,649,282,500,500,501,502,500,649,649,507,817,649,649,500,800,502,649,16,282,502,524,501,501,282,818,649,501,649,685,501,649,800,502,503,282,500,502,500,502,503,282,502,649,256,800,649,501,501,419,501,503,649,503,800,503,500,649,504,503,500,501,338,503,649,800,503,503,502,501,502,282,503,502,649,503,503,501,885,800,503,500,500,282,501,501,502,800,501,502,800,800,503,800,502,282,107,649,649,500,800,503,503,343,501,502,649,501,502,649,501,776,207,282,103,503,107,482,356,16,16,649,503,649,500,282,16,800,504,800,649,16,501,502,282,501,501,500,649,500,649,503,178,947,96,501,649,503,501,501,500,501,800,282,925,800,649,800,503,210,649,16,800,502,500,500,16,16,991,649,649,502,282,282,503,502,501,502,439,501,222,503,502,501,649,502,526,800,683,282,501,649,649,800,800,282,500,16,800,501,312,103,503,249,800,800,56,649,500,501,649,298,917,800,502,931,501,342,501,502,503,800,500,649,649,500,282,502,502,973,500,282,335,353,503,501,502,500,500,500,503,504,504,282,649,503,503,649,581,800,649,503,649,800,893,800,544,209,800,800,503,282,502,800,649,500,500,649,501,765,649,502,502,800,16,649,800,502,800,502,649,501,649,500,501,501,500,503,16,503,282,501,502,501,800,503,649,503,282,503,282,503,502,649,500,649,404,800,649,501,501,501,576,649,649,284,501,503,503,282,252,16,282,107,504,503,500,282,502,649,502,800,649,503,500,800,502,503,502,502,500,502,501,500,500,500,502,16,501,800,501,502,805,501,649,503,16,502,502,90,502,575,649,500,921,500,800,502,503,501,502,518,502,649,800,501,649,503,649,502,503,500,649,503,282,282,800,500,282,503,503,500,800,502,408,807,501,500,501,264,649,649,282,800,477,503,29,503,500,502,932,750,800,282,800,504,503,576,282,503,800,502,500,16,800,501,800,468,501,28,813,100,800,500,508,501,503,503,649,800,421,649,800,503,800,718,500,807,501,501,502,800,649,501,500,503,504,649,129,503,501,516,501,502,282,554,800,800,649,501,502,500,800,503,800,649,800,800,502,503,502,282,501,501,800,649,300,501,800,500,649,502,500,282,501,560,282,502,502,675,16,800,500,503,503,501,501,503,502,501,503,284,649,800,800,503,282,800,800,501,500,282,16,500,503,649,649,282,502,502,543,503,500,501,605,800,800,503,502,16,500,649,800,501,107,502,500,282,800,188,502,649,503,502,502,503,800,485,500,710,503,649,503,500,503,500,502,502,649,623,501,649,502,500,282,282,501,501,126,500,282,25,324,503,800,503,800,501,282,502,503,800,503,501,500,503,282,500,501,501,503,502,504,504,502,502,800,502,107,800,503,649,501,800,500,800,649,500,501,850,502,649,635,503,504,502,771,501,184,16,310,649,5,390,800,503,800,515,500,800,800,500,502,501,240,800,649,503,501,502,649,501,800,800,649,503,282,649,800,500,502,500,282,502,649,649,659,16,503,853,501,502,501,503,503,734,501,502,649,500,649,503,501,500,120,500,374,800,501,16,800,500,282,501,649,122,800,903,800,282,800,618,649,649,502,269,800,504,502,288,500,800,308,649,649,501,139,500,500,501,800,649,501,977,502,757,776,102,500,503,500,16,503,500,502,378,800,502,649,649,503,503,103,764,501,282,649,114,649,501,503,58,500,649,649,800,800,500,649,502,649,800,649,282,500,504,502,504,502,503,694,649,502,800,502,16,282,800,424,649,500,476,723,669,500,388,800,502,503,875,501,501,502,901,64,800,800,500,854,282,649,501,501,502,16,649,282,500,503,501,282,502,504,649,718,649,649,57,800,649,800,282,500,500,502,807,501,501,649,500,501,501,503,649,800,649,649,377,282,500,800,649,107,500,502,502,800,344,501,501,502,649,738,503,503,500,800,501,649,503,16,503,500,649,183,501,502,800,788,282,501,800,939,968,282,503,503,282,282,800,649,649,500,503,503,800,800,649,531,97,800,800,503,800,115,501,503,649,16,800,502,503,920,502,800,800,649,478,16,501,800,503,500,800,266,649,549,282,502,800,50,500,59,649,649,559,649,503,282,502,800,788,800,649,649,503,503,500,282,800,501,637,502,649,974,800,503,800,502,774,649,501,504,16,503,649,501,500,503,586,800,503,104,649,503,800,774,500,649,282,649,800,16,503,800,502,733,503,501,500,800,607,282,800,800,944,501,800,800,502,500,800,501,282,503,503,501,107,501,649,195,282,504,649,649,500,649,501,502,500,503,103,16,649,649,282,649,800,501,649,503,500,500,16,500,649,501,500,500,800,173,649,503,503,616,503,800,501,502,9,502,800,649,500,800,501,500,649,16,502,649,84,500,649,282,800,800,503,502,273,500,503,501,800,503,502,800,501,500,501,649,16,843,16,800,500,502,501,800,810,800,503,500,500,800,649,503,51,852,503,502,501,800,649,555,500,500,649,800,282,446,649,501,503,649,503,282,502,500,502,16,503,503,800,503,739,502,405,502,800,107,16,541,800,649,800,501,500,403,800,499,800,692,282,500,501,282,649,515,501,503,503,153,800,500,500,501,382,500,649,345,502,649,649,649,502,649,503,500,800,503,501,500,433,502,502,16,500,800,649,27,171,501,16,69,349,501,502,500,107,800,649,502,500,649,282,329,502,649,501,800,501,649,649,282,282,501,895,282,800,282,282,502,502,649,649,502,501,503,629,503,800,503,574,502,500,800,500,16,503,501,503,916,107,502,800,500,649,500,503,500,16,502,282,800,500,649,503,101,897,500,800,502,800,649,649,502,903,502,502,186,979,282,502,800,649,500,800,503,954,500,504,503,800,502,501,649,291,800,503,282,503,556,282,502,502,800,649,500,649,742,502,503,503,500,649,503,45,656,500,502,649,504,800,800,649,503,502,800,649,502,501,649,502,503,710,649,800,800,503,501,503,835,503,503,282,282,503,800,501,800,689,502,282,649,501,800,837,282,501,503,503,501,800,501,502,501,649,25,649,16,503,292,503,502,503,500,504,502,500,501,500,502,502,502,501,500,649,16,500,503,649,800,800,267,503,282,500,501,282,649,649,503,500,800,801,28,16,282,502,800,501,504,503,123,282,500,501,649,80,16,503,502,800,649,800,502,341,502,503,501,501,502,107,16,800,731,503,48,501,500,800,309,649,800,156,436,649,800,503,501,501,503,500,649,501,502,502,502,282,502,800,500,16,503,503,282,800,501,500,215,649,500,501,800,503,502,503,649,503,502,894,800,503,503,501,502,282,502,282,800,301,501,649,282,789,282,502,649,531,423,502,502,501,76,501,40,800,800,501,649,503,800,282,282,502,503,503,500,502,503,16,282,649,649,500,107,501,741,800,33,494,872,16,501,500,800,503,282,500,502,501,381,503,501,649,282,565,501,800,500,103,501,503,502,282,500,103,282,502,282,501,500,501,502,103,501,502,800,649,16,282,800,351,800,503,800,502,644,377,500,500,504,502,502,501,501,502,504,502,504,107,16,440,503,501,858,16,649,503,502,921,501,503,501,502,282,501,503,282,800,502,649,649,501,502,649,503,800,282,502,693,503,500,767,282,503,501,800,649,103,16,500,501,62,501,107,800,503,800,282,282,503,649,16,800,501,501,278,502,649,649,800,502,501,800,627,800,649,282,502,501,503,502,500,935,501,500,282,503,245,800,502,501,501,502,501,501,502,649,501,500,500,800,235,502,800,649,800,800,502,501,167,500,282,649,503,500,649,800,649,800,501,502,282,501,282,800,724,800,16,502,500,282,503,501,649,649,500,800,501,549,503,502,800,500,502,501,858,502,282,800,16,501,501,282,649,501,504,502,500,502,508,800,502,800,649,501,500,966,503,649,501,502,283,251,502,501,503,649,503,193,501,503,501,70,501,503,502,800,503,649,649,649,800,502,282,657,502,501,500,502,445,649,800,649,862,503,87,649,502,827,103,282,302,16,649,649,504,800,451,501,282,800,800,649,502,143,800,503,869,501,319,500,502,649,503,649,800,503,500,502,16,503,800,800,501,500,503,502,544,546,502,502,502,503,500,501,502,502,501,800,501,503,800,500,16,792,800,649,501,800,504,503,500,800,282,501,800,800,503,501,503,649,500,502,800,502,503,282,800,471,282,500,504,501,500,501,649,800,800,501,501,502,649,500,215,502,500,501,301,800,800,503,500,800,500,649,800,500,502,503,503,649,501,503,649,649,539,501,365,501,800,501,500,282,649,800,503,501,703,503,800,649,800,502,500,800,649,649,373,501,282,255,501,502,800,500,262,649,500,800,161,16,504,649,601,282,502,649,500,800,649,800,899,282,503,508,800,830,501,649,502,500,502,503,800,649,504,800,502,649,16,501,500,503,241,501,800,503,103,649,503,800,282,502,486,838,500,800,649,500,502,16,503,649,502,503,503,800,501,649,800,649,501,851,237,740,424,800,282,16,282,503,503,282,503,107,282,406,503,800,916,649,501,501,707,500,503,649,282,500,503,103,800,649,649,501,502,503,504,500,503,501,501,502,501,502,502,500,286,800,501,503,800,501,500,748,282,120,502,500,502,282,501,800,503,503,564,800,500,500,800,500,502,576,649,107,503,800,501,28,103,501,502,503,501,502,500,800,500,16,500,506,2,237,502,75,502,548,500,16,800,503,503,503,503,502,500,502,800,503,503,276,800,501,501,309,282,501,649,649,649,503,800,501,501,800,800,501,800,800,502,800,282,502,503,503,501,503,503,503,241,282,316,503,282,45,16,800,500,649,932,502,800,402,800,649,800,649,503,502,502,273,503,341,800,503,649,503,800,649,502,501,504,500,16,500,500,282,800,501,500,282,500,649,501,800,649,807,574,10,501,503,503,282,503,501,502,500,493,800,649,649,502,282,16,800,500,282,649,502,800,502,501,16,503,503,649,800,503,500,800,282,800,503,501,500,634,501,502,500,282,500,426,500,500,649,504,649,800,800,503,500,500,282,503,502,501,282,502,282,503,282,649,502,317,503,500,800,649,503,649,503,503,649,800,501,282,503,502,649,847,800,649,16,198,501,501,501,502,628,800,503,705,502,503,502,503,503,500,500,282,500,502,503,501,502,649,503,649,502,503,16,502,501,800,502,503,500,502,503,641,800,503,503,502,500,503,649,571,502,800,649,282,500,22,282,500,502,107,282,883,649,282,800,649,503,140,282,501,78,744,282,705,649,649,503,173,800,502,107,502,503,502,111,18,649,563,500,501,649,502,500,503,800,800,503,502,500,800,649,501,282,503,800,16,500,500,503,649,500,503,16,649,649,501,649,420,501,500,502,800,826,282,88,184,501,649,20,16,820,502,800,501,649,500,16,503,502,500,649,502,800,649,649,503,556,502,503,282,282,502,970,649,503,107,503,16,503,649,503,649,500,503,500,503,16,500,649,282,502,502,501,502,500,501,503,500,503,649,500,800,16,573,554,800,649,604,800,800,687,649,501,503,800,502,818,800,503,500,503,502,800,822,16,282,649,800,502,800,427,800,501,502,502,515,152,35,500,501,800,447,723,649,800,500,649,501,258,500,916,379,502,649,502,800,824,649,16,649,502,502,500,914,649,501,800,501,503,502,503,501,16,649,649,649,649,503,649,570,16,800,800,800,501,501,649,501,502,706,500,649,500,107,502,503,800,501,502,502,502,502,501,502,502,501,502,587,466,196,502,501,501,380,503,881,255,503,501,649,727,500,16,649,500,501,878,649,500,500,500,501,503,649,502,501,282,282,500,502,649,649,501,501,501,500,502,501,502,721,503,12,501,502,502,500,649,16,503,502,16,649,503,649,503,501,306,649,282,500,813,503,800,800,649,800,649,502,800,282,537,283,800,27,649,649,870,502,649,503,504,134,504,107,503,500,55,282,282,503,503,501,800,800,501,503,500,501,800,902,649,800,501,704,504,500,670,649,649,649,501,800,649,282,427,800,503,502,501,500,502,658,500,503,500,649,800,282,16,502,649,107,501,800,501,504,800,282,103,503,502,800,502,649,565,625,800,815,502,282,800,282,107,107,502,649,46,876,500,282,16,501,800,549,502,649,649,649,100,612,800,800,502,503,501,649,502,649,649,649,503,779,501,500,500,500,649,771,503,500,800,500,503,503,667,282,500,800,800,800,503,344,800,649,500,918,800,500,496,346,502,45,649,501,800,906,500,649,503,501,502,9,500,502,649,649,649,800,649,502,282,800,649,282,503,501,800,502,649,649,568,282,502,502,282,503,800,501,864,500,981,800,503,501,649,716,649,282,800,103,503,282,282,503,516,500,649,800,500,800,116,500,649,282,282,649,501,649,819,649,800,503,649,501,107,282,282,800,649,3,501,502,384,500,500,649,503,800,282,502,503,500,500,501,500,282,649,501,937,231,649,800,500,500,649,502,612,649,503,641,16,649,501,800,501,344,502,502,312,500,544,639,503,503,800,501,649,54,800,649,501,800,800,501,500,282,500,552,673,501,501,501,501,649,282,107,800,503,500,649,503,800,16,103,502,800,501,800,649,502,649,501,503,16,503,501,362,16,179,500,800,800,92,503,8,503,546,649,503,502,500,501,503,844,800,282,800,107,997,530,500,957,500,282,502,800,503,502,282,501,649,282,800,649,649,500,16,282,502,282,501,649,500,500,282,16,503,502,503,500,649,503,500,503,649,501,503,503,650,649,395,500,649,504,501,800,503,502,500,282,635,16,501,282,800,500,501,500,500,502,502,800,150,113,282,501,800,503,800,500,649,552,501,282,800,502,503,107,502,502,487,837,825,103,500,501,282,501,800,842,800,526,649,800,800,500,139,649,609,800,502,501,282,237,501,800,503,800,503,649,503,500,793,503,500,891,750,503,649,649,649,501,500,800,500,500,500,503,16,649,501,800,503,282,502,503,501,8,282,649,649,800,502,503,502,501,318,800,502,502,501,649,502,649,503,501,947,52,649,800,649,500,501,282,800,503,107,642,800,501,282,649,800,800,500,503,216,800,178,333,502,800,282,503,16,282,501,500,800,282,503,256,501,502,503,501,649,501,176,649,500,501,800,502,649,705,501,502,500,800,649,807,503,649,800,582,503,247,345,502,503,647,800,502,500,649,503,503,502,103,16,500,282,800,503,282,501,649,16,500,103,340,649,503,502,282,500,800,774,503,501,500,500,501,800,16,800,16,501,968,503,818,800,649,500,800,16,571,800,503,501,800,282,107,649,810,42,649,502,839,282,503,502,696,649,16,649,789,800,649,649,502,800,241,500,16,800,827,502,501,502,503,501,16,103,503,800,502,502,800,800,649,16,504,282,959,731,500,112,649,501,800,500,282,502,800,649,539,501,588,800,791,502,502,812,162,500,503,189,705,502,16,503,649,502,501,504,500,800,504,500,502,503,800,500,800,649,500,649,500,502,891,282,500,800,502,502,282,503,503,875,800,500,502,503,914,500,807,503,503,649,885,503,84,649,311,493,500,649,649,800,503,503,501,16,70,649,772,800,502,800,983,502,282,394,800,502,501,649,800,500,677,500,504,282,502,649,649,502,800,503,282,282,501,503,118,503,16,501,503,500,16,501,501,445,502,500,16,501,501,16,800,649,503,649,800,502,282,502,500,415,649,502,501,500,649,502,282,205,503,16,107,682,501,500,282,501,501,53,649,753,503,500,500,501,800,502,504,501,500,498,503,800,649,503,501,282,503,649,500,502,500,502,500,501,500,500,807,800,504,502,242,500,800,503,649,501,501,502,502,500,282,282,833,503,16,500,502,503,282,364,503,16,500,502,502,800,502,800,282,502,282,649,800,502,501,16,627,501,649,857,762,556,16,500,501,282,501,500,282,544,504,504,500,501,912,500,503,649,502,649,649,785,503,501,503,502,503,503,800,800,502,502,501,503,16,504,501,504,800,800,501,800,501,501,649,501,800,282,501,329,501,800,502,502,502,503,501,107,500,649,16,16,503,501,800,649,282,500,500,632,502,800,502,282,282,503,502,500,501,500,501,502,649,649,282,649,800,649,501,541,282,800,649,800,503,800,500,500,649,927,500,282,503,975,571,501,501,500,282,327,269,503,282,529,705,502,501,800,501,501,100,375,502,58,800,500,800,500,994,282,502,503,800,800,501,303,113,504,502,502,649,502,800,925,351,649,812,503,501,503,649,16,800,500,800,649,500,649,500,504,502,500,107,502,500,501,800,500,800,501,502,502,800,503,503,578,649,800,502,500,800,501,703,500,107,502,500,502,501,649,800,805,317,500,501,503,800,500,502,800,649,47,800,649,872,16,265,501,649,502,500,500,20,593,649,500,502,881,311,800,501,282,500,705,500,500,500,502,503,16,471,503,679,503,503,501,502,500,502,800,503,503,912,503,649,501,501,649,501,501,501,500,649,800,502,53,502,503,503,502,503,501,502,502,501,500,16,500,180,207,503,501,649,649,16,627,649,649,282,362,649,502,503,362,503,157,500,800,501,599,800,501,500,502,500,649,143,503,800,503,500,282,502,501,136,500,800,16,501,649,632,500,800,800,502,508,282,501,255,21,501,500,503,501,502,503,503,503,501,502,504,3,502,649,476,807,500,500,649,500,500,500,800,502,800,500,282,800,649,503,282,649,503,503,800,502,501,661,503,500,500,649,500,502,502,501,501,501,502,500,800,501,800,503,649,501,500,500,500,470,503,649,800,502,501,501,209,500,503,500,503,881,502,503,800,501,649,501,503,500,502,502,501,649,151,501,800,502,800,282,800,800,851,282,503,804,503,649,649,947,140,503,702,649,500,502,500,800,501,500,717,502,504,502,800,500,502,649,16,282,500,502,502,822,503,128,500,16,298,16,265,107,649,428,733,500,282,503,500,332,649,800,16,649,502,501,503,800,306,783,501,503,503,503,975,800,501,502,16,955,649,502,502,500,501,170,30,500,16,800,900,795,500,501,501,503,800,153,282,500,649,800,501,16,800,800,931,147,501,503,649,800,800,500,807,16,498,649,800,282,501,502,156,282,500,282,649,810,800,567,262,16,16,503,649,649,503,282,800,800,800,501,502,500,503,649,282,501,501,800,114,503,501,500,501,502,822,502,502,500,501,649,282,501,502,800,649,800,103,649,502,503,649,282,503,500,800,649,501,570,363,677,649,500,919,501,502,649,800,800,16,107,500,502,502,800,501,501,501,504,882,611,282,503,500,501,501,503,502,800,649,753,500,502,501,649,452,649,298,800,718,800,502,649,500,502,800,88,502,501,501,649,501,502,501,502,800,16,649,502,502,800,800,649,649,800,800,502,501,649,502,681,502,800,500,501,500,500,502,501,502,500,500,503,800,501,649,800,503,16,649,501,502,501,478,500,151,649,549,500,503,828,800,649,503,529,702,649,991,107,3,649,663,502,500,369,502,503,502,649,501,649,800,500,502,16,282,501,649,503,282,97,500,503,503,800,649,501,800,800,649,282,800,800,501,504,800,502,622,237,500,649,501,649,502,282,503,800,649,800,502,717,800,500,282,16,506,501,649,502,249,500,501,282,501,500,800,502,103,800,614,807,649,16,282,501,500,501,649,502,501,503,503,965,502,800,282,282,500,500,468,294,282,500,704,503,800,800,16,502,800,500,800,649,282,501,800,502,503,502,501,502,500,649,282,502,800,649,726,503,649,503,502,500,282,501,502,800,800,503,793,966,250,282,800,478,103,800,503,16,649,502,502,405,800,282,502,503,500,800,800,800,800,649,16,501,503,500,800,503,649,503,800,502,800,500,649,800,800,504,800,503,800,967,649,500,649,718,282,500,503,282,800,282,800,501,16,800,649,500,501,500,500,649,715,282,503,282,503,501,16,800,500,502,649,502,501,649,501,282,800,16,16,504,273,500,18,502,649,501,800,500,502,503,502,158,228,820,501,502,501,649,493,503,649,649,282,500,500,502,500,261,502,503,502,682,503,584,800,500,502,501,500,500,503,800,800,503,326,500,282,103,502,800,683,812,16,502,135,503,649,282,500,500,502,800,282,503,504,581,800,501,669,800,306,503,503,500,500,800,501,649,649,501,479,501,800,649,649,501,800,500,502,503,800,503,997,282,501,800,500,282,504,500,500,501,282,500,800,649,504,503,736,16,282,503,282,637,16,16,501,800,503,503,953,502,503,282,500,649,800,282,502,16,501,649,800,501,502,500,502,502,502,501,502,500,503,800,502,649,500,800,503,502,503,800,747,501,501,502,171,500,649,800,649,503,742,500,214,800,502,501,282,502,649,500,501,649,503,501,502,503,829,502,502,16,503,25,649,649,347,501,501,820,282,500,948,504,504,800,649,500,503,503,500,649,282,800,503,503,500,306,501,649,649,16,282,800,500,501,800,501,800,500,502,384,502,282,649,16,973,500,800,500,800,107,649,504,496,800,800,502,800,503,649,503,501,474,504,282,561,502,649,800,502,501,501,500,800,502,500,501,500,500,649,649,502,800,502,649,739,500,437,107,800,745,503,503,800,502,282,503,501,800,501,500,501,649,649,500,503,502,16,282,800,503,150,501,718,701,800,82,504,500,800,649,501,649,523,500,503,800,800,502,502,503,282,501,500,282,282,649,501,800,502,800,502,502,151,16,16,439,503,649,649,500,365,649,503,452,800,501,216,649,800,800,502,809,649,503,16,501,561,500,500,500,282,800,2,649,500,503,111,421,16,800,500,231,500,502,504,649,800,500,501,502,800,282,73,501,501,501,16,16,500,107,500,649,502,16,649,501,103,502,874,22,16,501,185,504,504,502,501,202,685,502,103,501,927,24,649,500,500,504,800,502,500,347,500,501,501,800,598,843,331,500,282,282,501,503,501,503,649,502,16,500,500,800,649,500,800,500,654,501,500,500,502,502,704,282,649,649,503,503,502,502,800,649,900,349,258,501,500,500,503,649,800,500,774,502,649,500,501,503,500,16,719,502,382,502,501,504,502,501,500,500,500,649,503,650,649,936,501,500,501,500,800,500,16,503,502,502,503,501,500,649,800,504,503,800,501,649,503,332,500,503,649,800,500,649,16,502,502,502,501,16,503,500,501,500,282,500,649,800,800,501,501,502,500,328,502,670,800,503,800,60,500,649,500,649,649,305,502,803,800,500,668,649,502,502,649,501,649,503,649,501,501,282,501,501,16,501,502,501,500,183,546,502,501,705,279,649,800,500,649,501,649,503,107,649,501,16,502,502,997,567,500,502,67,649,502,501,502,800,501,500,649,500,500,16,501,500,500,503,501,282,503,751,649,107,649,649,800,501,502,800,504,16,645,502,500,501,721,502,500,208,918,649,503,800,502,500,357,800,800,649,503,800,503,500,501,503,282,800,502,503,501,800,100,503,503,500,800,649,771,503,390,16,502,149,282,504,67,502,800,503,501,649,500,500,649,705,649,282,800,502,649,501,503,500,800,501,502,501,800,503,282,501,501,107,649,501,282,16,649,282,500,502,16,909,282,649,649,649,504,825,503,500,500,442,282,649,501,503,533,500,649,16,502,101,502,501,503,501,503,736,800,161,463,16,800,649,282,649,500,502,500,800,501,502,800,503,501,649,800,500,706,501,503,503,502,500,649,800,649,501,504,803,502,598,502,502,500,501,501,503,800,502,503,500,800,800,282,282,503,500,501,16,503,714,501,503,500,500,282,500,231,16,501,649,800,502,501,501,501,800,500,500,502,502,502,503,229,502,504,501,503,800,282,503,120,16,800,27,649,800,500,649,282,502,502,800,100,501,504,501,503,282,501,501,282,501,800,500,282,501,800,800,649,16,502,503,649,282,503,502,500,500,500,649,501,649,501,502,649,501,282,800,500,945,649,501,800,501,502,949,503,396,282,503,501,503,503,649,545,282,601,503,501,502,500,649,503,800,500,649,503,363,649,282,890,800,500,800,503,501,501,16,282,511,500,502,501,503,500,649,311,649,467,502,649,800,500,38,502,501,503,800,649,800,800,502,622,649,282,502,503,423,800,302,16,502,501,500,649,503,282,503,503,501,500,649,500,16,649,500,503,649,517,472,502,800,501,503,500,502,501,649,500,503,503,649,799,502,500,649,502,504,502,500,550,649,649,502,500,502,16,649,649,800,282,502,742,650,649,503,500,649,303,800,500,800,800,504,649,503,649,800,618,503,800,377,346,501,502,503,502,501,500,503,800,502,107,800,500,503,674,800,500,705,649,734,800,501,503,800,16,500,500,649,501,502,501,482,500,503,649,500,500,500,502,649,502,16,800,501,501,500,946,16,701,833,503,649,500,503,800,500,649,503,298,502,501,503,500,800,504,501,800,503,800,504,525,749,649,894,501,503,800,16,500,500,649,715,500,800,503,800,503,500,503,649,282,800,500,649,649,502,500,800,503,503,282,800,502,502,504,502,503,501,500,861,800,322,683,282,501,649,502,502,649,503,38,503,800,800,800,501,800,836,800,502,282,800,501,654,800,800,504,800,504,500,371,503,800,504,503,649,649,502,500,649,501,502,649,649,649,573,502,502,501,649,9,839,500,282,504,649,253,649,649,800,503,236,503,821,502,500,782,16,800,501,993,510,649,800,500,282,649,866,502,503,325,282,800,873,260,800,800,50,649,501,800,649,282,500,576,504,335,800,123,942,500,649,16,502,503,501,502,247,705,503,173,282,669,500,500,503,503,800,16,500,16,500,631,103,500,820,502,16,502,649,649,800,414,501,16,501,649,501,649,896,231,501,227,501,502,501,501,649,506,500,74,502,502,503,649,500,500,501,501,800,763,504,500,16,501,282,500,800,502,503,649,282,502,11,500,500,800,501,502,419,800,503,932,503,502,282,800,502,501,186,503,779,500,502,501,657,502,500,649,282,501,800,215,503,503,800,502,502,31,770,502,800,504,502,82,502,500,502,501,500,800,800,16,500,501,902,502,500,800,892,503,282,16,502,649,500,500,501,807,502,501,649,649,501,500,504,800,503,649,800,479,282,649,920,649,501,282,502,501,961,503,16,282,502,649,502,800,800,800,500,16,800,282,504,649,500,925,502,800,503,800,16,500,800,503,649,500,500,500,500,282,800,502,500,504,501,282,502,282,517,500,503,502,800,649,22,502,500,500,503,649,502,500,501,501,103,649,649,800,501,503,9,649,800,510,501,552,800,85,361,503,695,800,16,500,502,504,503,500,501,503,800,282,500,500,282,500,649,502,658,807,800,501,282,800,282,503,649,502,502,800,800,500,504,199,500,801,501,503,500,500,649,800,501,240,502,649,800,649,501,501,649,502,644,503,773,500,800,470,501,500,800,501,196,649,501,502,649,501,502,501,649,500,500,500,503,502,282,800,800,649,500,282,503,905,500,869,760,503,500,503,649,500,649,649,502,503,501,649,500,502,649,649,42,503,800,500,670,501,187,649,500,502,503,649,502,649,800,500,649,502,800,649,502,501,502,503,503,503,500,687,500,282,501,391,501,503,800,503,16,649,649,649,107,500,147,503,800,501,649,282,526,501,500,501,501,502,502,604,649,282,649,800,800,500,65,503,282,501,439,501,16,649,282,800,503,500,528,500,503,16,800,800,800,503,502,502,282,800,500,501,501,503,502,649,501,500,16,504,500,501,82,503,503,502,950,501,503,501,800,502,649,107,649,501,503,502,500,649,503,800,502,503,649,501,503,500,649,705,502,649,500,16,502,282,501,800,501,800,649,800,503,800,501,30,502,800,282,800,16,500,649,501,500,649,282,503,649,649,502,282,43,502,503,649,250,649,649,501,649,800,501,290,655,503,500,503,500,502,502,859,503,501,503,613,503,438,509,501,503,282,800,282,503,503,503,859,502,649,800,502,501,282,800,501,500,500,918,503,800,800,502,503,502,800,586,556,502,16,503,500,10,503,502,282,800,649,503,502,282,649,501,502,740,501,503,502,649,854,282,800,800,649,800,800,655,339,502,649,649,282,282,502,502,502,502,649,973,649,503,500,501,649,282,504,503,800,649,800,501,330,649,800,800,501,502,791,502,800,11,282,503,525,502,800,504,649,502,800,500,503,16,503,649,500,35,501,800,501,500,503,649,500,503,500,503,282,502,800,502,500,282,500,503,503,500,500,649,500,436,501,800,649,502,649,800,649,625,503,649,504,503,800,503,800,500,649,501,649,503,649,503,282,649,649,503,64,253,282,649,142,500,501,502,282,16,649,16,504,67,502,282,800,649,503,501,800,500,282,502,503,500,502,800,503,503,480,502,800,267,501,501,103,500,501,355,502,502,501,500,501,502,800,16,503,800,501,503,103,501,502,800,601,500,503,166,649,649,500,502,800,500,800,649,649,800,103,16,501,16,503,502,502,503,501,649,502,991,500,503,503,252,503,800,503,501,649,500,800,622,502,501,503,502,502,502,649,282,500,800,503,649,502,501,502,500,649,649,649,282,649,800,500,500,503,282,883,501,502,500,485,800,649,501,501,501,504,502,501,501,649,800,800,502,800,502,800,800,649,793,501,502,861,502,502,649,502,800,800,503,800,503,503,649,800,501,500,243,926,501,800,500,649,502,800,500,503,282,502,282,500,450,502,244,545,649,501,500,107,103,502,272,501,269,649,282,500,503,103,500,800,649,501,502,800,501,800,503,800,107,501,609,553,648,502,503,502,500,503,500,649,649,800,282,500,649,649,503,501,649,503,649,282,800,500,501,500,500,501,800,800,500,500,16,664,503,649,501,800,771,702,502,800,500,502,800,500,436,503,502,503,282,330,501,502,502,502,649,501,800,800,800,503,513,503,500,800,800,649,503,307,142,800,800,500,800,502,800,501,800,503,282,836,800,649,282,800,503,649,282,502,502,800,800,649,872,501,503,500,503,501,31,649,500,649,485,294,649,500,649,503,552,800,502,282,504,118,502,649,502,500,282,500,16,502,501,502,649,502,500,502,503,282,800,503,503,500,800,501,502,649,302,649,649,650,503,500,500,282,70,501,501,649,502,333,502,503,501,502,502,500,501,500,649,193,502,500,649,282,649,501,503,502,649,800,503,502,282,282,500,503,500,502,500,649,502,501,503,503,800,503,501,503,649,649,500,560,368,348,649,501,16,503,282,501,501,478,502,503,649,649,501,649,800,282,825,500,501,800,649,502,808,649,800,282,282,282,16,16,800,649,649,502,500,649,500,502,649,502,800,649,503,649,501,282,282,213,503,502,800,690,500,800,501,649,846,503,649,649,500,282,501,500,500,501,501,579,521,503,501,500,500,800,500,500,282,502,800,649,503,503,107,16,800,502,501,42,800,502,649,501,477,107,649,500,503,501,513,501,503,282,649,503,800,800,717,501,800,800,502,502,649,996,16,500,800,800,502,649,500,503,503,748,649,502,501,573,649,500,503,500,502,501,693,502,16,282,282,800,501,800,503,107,649,502,649,298,500,500,800,501,501,503,690,649,503,649,500,503,503,800,649,501,674,503,501,16,800,500,800,504,502,503,800,800,500,503,503,502,12,800,742,501,800,649,503,16,501,229,503,500,649,282,55,500,649,800,282,800,501,501,16,649,907,649,501,800,649,349,183,503,763,500,503,500,502,502,501,500,16,501,500,649,550,649,503,502,649,16,503,800,649,503,502,502,838,503,503,502,282,502,282,649,800,500,282,501,502,649,442,501,741,501,282,500,686,500,282,502,800,501,503,800,503,502,502,503,501,649,16,503,794,800,800,482,649,502,431,501,459,502,501,500,501,800,503,800,282,500,649,502,800,502,649,504,16,800,503,367,503,501,502,504,649,16,152,649,503,503,649,500,649,501,502,911,282,800,50,800,503,89,962,500,472,649,997,281,649,649,503,107,800,501,503,501,649,500,503,665,501,501,503,649,501,107,800,501,501,503,649,503,743,500,800,500,800,16,502,503,282,649,649,503,500,502,649,502,16,502,500,649,503,627,503,502,502,676,503,800,503,372,649,282,649,502,107,800,500,800,502,649,649,501,800,503,413,282,501,649,503,800,501,501,501,649,503,503,500,502,501,282,501,500,329,800,732,44,500,502,800,500,501,502,502,501,103,501,800,800,282,649,501,500,501,500,584,800,503,500,800,500,282,800,500,800,503,560,503,649,282,800,867,649,800,503,649,500,501,649,649,500,503,800,501,500,501,800,502,649,501,847,503,502,800,282,240,241,784,511,800,800,502,500,649,502,503,502,876,282,649,649,503,107,800,502,504,503,500,504,800,800,196,501,649,728,253,636,501,501,16,649,504,502,16,951,501,110,282,500,282,16,501,378,16,503,282,500,800,503,649,503,502,649,107,501,649,504,649,16,65,385,503,500,502,502,114,800,800,359,341,503,649,282,649,800,649,800,502,115,500,282,16,501,800,502,503,501,503,649,503,503,800,297,649,500,501,649,502,502,501,503,800,518,503,500,500,649,502,282,649,570,501,501,502,502,503,649,501,282,221,800,501,718,502,800,649,893,800,800,503,504,282,649,500,502,649,502,345,356,800,501,503,502,16,500,503,502,502,714,282,501,249,503,214,501,87,800,800,800,504,501,800,502,800,448,503,504,501,500,800,122,800,282,95,502,800,500,504,800,500,503,503,503,800,500,501,800,649,503,107,649,501,16,502,502,649,503,503,649,282,500,501,501,500,282,500,502,800,502,649,502,503,501,31,981,800,800,252,649,800,500,649,444,502,502,282,649,649,104,501,141,503,502,502,504,210,649,501,800,503,500,800,708,501,501,502,800,500,502,502,649,16,502,504,282,649,501,501,282,502,500,649,502,282,800,800,29,501,16,501,282,16,500,500,800,500,973,375,828,800,649,800,501,649,503,781,649,649,356,196,649,649,16,502,800,500,502,159,500,503,502,972,16,800,500,501,800,800,649,502,800,504,500,501,16,157,16,503,503,800,282,975,500,501,441,501,500,500,503,501,649,773,501,501,800,503,649,500,503,800,501,503,649,129,649,649,452,502,501,503,649,56,649,282,880,282,503,503,502,503,282,502,188,500,800,500,501,282,649,501,282,107,16,649,501,800,96,800,501,282,503,501,649,165,16,749,282,501,520,503,800,501,502,649,501,800,503,107,800,282,502,502,501,649,501,502,315,649,503,500,16,502,800,500,282,649,500,800,800,502,649,453,649,481,800,649,800,800,625,503,649,502,503,282,502,500,649,800,800,501,502,502,803,501,463,500,649,500,502,282,306,502,503,800,16,911,501,502,282,501,684,649,501,238,800,343,16,503,501,649,649,103,282,501,282,800,649,649,501,500,800,500,699,800,184,503,500,503,800,800,649,800,649,503,503,649,649,502,800,800,503,381,800,800,800,500,533,649,400,503,800,501,500,649,501,503,800,996,501,800,502,503,800,649,282,502,800,503,282,649,501,800,501,800,501,503,501,800,649,503,206,282,649,501,800,649,649,500,632,500,649,800,501,800,503,306,503,500,502,800,649,500,503,649,800,500,503,282,282,649,503,649,502,502,501,800,282,253,503,502,861,425,649,282,500,649,500,649,503,649,502,131,500,503,800,800,503,16,107,16,649,654,501,649,800,16,16,106,502,503,394,500,800,107,800,800,502,311,800,800,800,500,500,88,800,503,501,502,500,501,282,604,649,649,649,282,503,502,649,501,649,503,282,503,800,501,106,800,224,503,502,666,282,503,502,649,800,503,91,800,503,103,503,282,800,649,502,502,649,282,502,308,502,711,502,282,649,503,649,282,500,501,502,502,800,800,16,503,502,503,500,503,503,649,501,500,501,503,500,501,501,503,501,503,503,16,649,649,502,800,503,800,16,501,503,800,501,501,502,649,649,503,282,649,501,967,502,800,502,503,282,500,500,500,500,649,500,500,503,502,282,504,503,649,800,500,16,502,800,502,500,649,501,501,984,625,649,500,502,649,649,501,282,502,800,282,502,649,649,502,502,501,502,500,501,404,502,282,501,504,603,503,502,16,649,965,282,501,282,800,501,504,16,668,800,800,800,921,502,501,501,800,16,504,649,282,500,800,714,364,501,282,500,502,463,503,502,501,502,649,502,503,16,649,800,964,503,501,502,282,800,503,501,501,649,502,500,800,501,800,501,649,800,613,282,504,500,13,879,905,800,451,649,501,500,500,500,56,800,555,503,504,500,500,501,16,800,800,503,107,282,503,502,501,501,500,16,500,316,500,98,282,503,649,501,654,74,635,501,502,501,404,107,631,929,317,504,649,501,649,649,98,502,502,800,800,16,500,637,29,500,282,502,338,501,622,282,800,502,16,555,503,502,500,502,503,500,501,501,824,502,282,800,503,502,649,354,502,502,500,649,502,501,16,800,282,800,501,501,502,507,503,31,568,800,504,501,502,500,503,649,501,800,504,649,16,800,502,500,649,863,649,502,502,501,500,500,500,503,501,282,500,882,500,503,503,500,800,11,501,504,503,282,282,502,800,649,800,800,649,501,649,501,503,350,501,261,649,503,503,649,502,282,501,646,501,800,282,980,500,457,501,502,800,282,503,504,501,502,800,649,503,501,501,122,649,649,800,503,282,16,506,502,649,502,502,649,503,800,208,938,800,282,502,500,649,800,800,500,504,716,180,502,282,800,503,502,233,502,649,502,649,802,504,503,503,814,649,393,500,503,500,622,503,503,129,800,501,882,800,500,502,649,500,16,500,16,501,282,800,649,282,595,649,282,501,501,405,500,383,500,502,705,502,500,504,503,501,502,649,503,282,103,500,268,500,649,500,503,503,502,504,649,800,282,800,500,502,542,800,397,482,502,651,500,800,501,501,503,282,649,800,500,503,800,501,649,501,500,282,501,649,649,503,492,282,649,501,501,502,501,502,500,501,500,501,501,500,502,502,2,502,503,500,186,500,500,501,282,500,649,502,807,501,746,649,800,500,500,502,103,501,649,500,282,649,800,800,501,649,502,800,800,500,503,800,503,504,680,500,502,800,503,500,503,16,800,503,502,501,500,16,502,649,902,851,811,696,800,503,649,800,800,502,501,239,800,800,16,503,503,500,321,501,619,501,649,503,502,282,502,282,503,504,800,800,125,800,500,800,282,649,800,282,503,502,500,503,501,500,500,502,800,506,784,649,800,503,503,649,800,503,500,500,500,394,800,800,500,800,649,800,501,800,502,500,800,500,649,78,649,501,282,500,16,501,503,502,649,503,649,500,501,800,504,124,282,503,800,649,705,800,503,502,382,503,16,500,800,501,501,649,504,16,800,500,981,501,649,282,800,503,502,282,282,594,34,649,501,500,638,16,502,282,503,501,500,503,16,52,504,649,800,502,800,501,501,282,649,501,233,649,649,489,501,649,282,523,503,501,800,282,649,800,503,503,649,500,502,649,649,800,649,503,502,107,502,282,800,501,503,800,503,501,341,649,282,500,500,500,501,503,500,502,500,800,503,800,500,282,503,500,502,649,503,649,501,741,502,649,649,502,502,800,502,800,800,16,800,500,503,500,282,800,500,800,107,503,705,649,800,649,282,549,470,502,800,649,501,503,299,500,500,508,504,501,649,503,800,282,503,501,282,153,504,502,501,501,502,503,800,501,16,259,501,315,503,503,502,500,721,500,502,500,501,501,939,800,500,503,501,501,500,500,800,800,500,649,649,503,800,16,930,501,649,800,649,800,282,649,501,500,909,800,503,649,649,16,503,667,361,103,92,502,501,500,697,16,800,800,282,504,503,502,503,649,16,500,500,502,500,503,500,500,503,503,649,159,503,503,503,501,503,649,649,501,501,502,800,800,282,502,215,503,351,919,503,500,503,649,500,500,500,282,501,503,800,503,501,502,649,649,649,501,16,504,500,649,150,649,500,282,502,282,649,649,501,750,649,954,500,225,649,501,503,503,502,334,661,503,800,649,800,16,503,502,501,16,502,531,503,502,649,501,76,282,501,500,500,282,502,502,502,501,501,501,503,503,502,502,625,503,800,503,419,649,807,503,282,501,649,501,502,164,502,179,503,501,649,500,800,502,500,502,501,800,800,502,800,649,282,500,800,503,282,500,649,864,503,291,501,649,503,397,928,800,704,502,501,500,694,800,649,501,502,504,649,502,501,500,501,503,649,501,500,649,500,501,649,800,500,502,148,800,649,501,782,501,16,649,705,705,504,504,16,34,649,223,500,501,502,282,502,503,501,500,649,503,649,107,982,282,195,279,501,107,501,502,503,501,502,649,502,500,502,705,800,800,503,500,503,502,282,500,800,501,501,807,16,752,282,800,501,501,1000,282,503,503,501,412,800,800,501,502,501,503,503,500,332,248,500,694,501,800,16,649,800,800,16,500,503,800,503,500,649,227,500,649,502,500,649,652,503,503,781,503,501,501,501,502,282,500,649,500,800,411,503,282,504,286,500,800,405,649,501,649,282,500,16,282,282,503,500,500,308,559,800,500,503,503,263,503,501,500,939,456,16,151,282,500,282,649,307,503,501,296,503,500,501,500,502,282,501,500,501,500,500,649,500,800,502,649,649,501,800,503,680,502,800,500,502,619,501,500,500,503,504,649,502,501,502,502,800,282,502,800,501,500,649,649,502,500,502,91,649,500,502,500,800,800,16,282,649,282,692,501,500,235,800,500,500,502,501,500,152,800,503,1,649,500,710,908,649,282,503,503,502,800,502,501,649,503,501,504,503,500,502,502,501,503,502,501,649,503,500,107,503,862,483,299,503,649,800,649,502,697,501,501,385,500,800,503,437,501,503,502,282,282,189,500,16,502,501,500,500,649,649,800,800,800,490,16,800,502,500,16,943,502,502,684,503,708,800,502,502,595,500,649,800,504,282,649,502,501,800,947,445,500,649,503,503,501,649,649,501,64,500,729,649,502,501,503,501,649,500,800,503,501,503,503,800,500,880,502,800,649,502,800,282,800,500,502,800,800,649,500,500,849,649,649,649,503,206,502,501,800,800,502,610,649,501,649,800,500,503,500,502,16,649,282,501,376,649,500,503,503,800,502,800,316,500,899,16,649,800,503,502,282,282,501,107,16,649,503,282,503,501,502,497,209,501,396,501,649,424,26,670,649,503,503,500,817,154,500,282,649,282,502,138,502,500,502,282,502,500,864,649,439,502,800,16,800,503,501,500,893,502,503,500,501,333,800,501,69,649,503,503,503,759,800,27,649,503,502,503,501,42,321,850,649,502,800,504,500,502,630,282,502,282,500,500,504,71,500,501,649,502,503,800,282,500,800,503,649,649,889,501,800,500,501,502,502,579,501,282,502,16,502,500,501,503,500,800,503,501,504,503,503,500,501,501,189,503,500,501,502,500,501,973,800,503,501,503,304,649,800,495,502,649,800,503,503,502,800,501,500,502,649,776,502,501,500,357,664,503,649,282,649,503,502,649,649,649,917,500,501,503,503,501,503,752,500,503,649,800,502,501,649,502,504,649,649,16,649,800,500,649,649,671,282,649,503,282,800,503,800,502,800,649,649,107,649,69,16,282,501,649,502,565,800,800,996,501,649,800,316,649,500,500,500,503,501,503,501,501,649,502,503,503,649,503,800,500,500,501,649,649,501,501,502,800,282,500,649,800,504,800,800,501,649,603,501,503,16,649,705,649,503,649,503,108,282,500,721,800,500,501,503,107,500,501,500,132,503,502,282,503,649,649,282,503,800,997,429,800,502,649,503,500,649,649,500,502,406,503,16,501,282,503,282,502,800,503,501,502,32,502,107,500,16,502,503,817,501,500,500,649,649,503,649,500,501,502,649,800,800,103,501,501,649,800,649,16,16,649,649,501,502,649,503,502,16,502,501,280,500,503,504,500,649,500,800,649,502,282,800,103,800,800,502,649,501,442,649,500,800,503,800,503,936,502,649,800,29,755,503,501,502,503,503,324,731,503,503,502,858,649,503,502,282,501,502,503,649,800,800,500,16,16,649,501,500,503,649,649,502,282,282,800,500,503,502,800,282,501,501,282,501,500,502,800,800,800,284,502,649,501,800,503,500,501,502,501,502,503,502,501,626,501,500,500,282,16,16,502,107,502,502,502,500,107,503,500,800,500,500,529,282,255,500,502,503,649,500,16,503,800,649,800,149,501,501,532,282,589,502,649,107,800,502,800,800,500,503,503,501,663,800,279,16,501,502,500,503,501,649,800,16,502,500,800,800,705,500,891,500,502,503,504,649,503,251,282,107,503,107,107,502,800,649,958,502,16,649,501,502,649,649,503,649,501,501,559,503,504,518,140,504,500,649,500,506,286,501,649,502,643,502,681,502,800,503,649,107,501,800,501,502,500,282,649,501,231,282,649,500,502,501,800,502,649,282,800,500,501,503,649,390,800,502,649,649,503,282,800,503,800,800,352,501,649,282,502,500,503,649,501,282,502,504,502,800,800,649,816,800,103,800,502,282,500,501,503,556,800,502,501,23,800,501,904,502,501,500,500,607,800,500,501,500,978,502,500,500,649,501,649,85,501,500,502,674,800,425,500,501,502,501,415,800,282,800,500,503,800,800,503,649,503,501,501,502,502,500,800,503,761,502,800,282,649,501,800,800,282,278,500,282,16,501,649,800,500,800,502,501,800,800,502,503,500,500,609,503,282,504,502,503,282,503,500,502,680,800,282,282,535,705,503,500,16,502,503,649,800,787,503,166,501,502,16,501,501,649,501,500,649,500,501,503,503,800,502,282,649,16,649,500,282,502,649,500,433,800,297,649,500,271,501,800,800,800,502,391,282,502,649,107,649,503,502,501,500,500,500,502,181,256,649,500,515,649,502,16,501,282,502,800,501,474,800,501,502,318,500,800,800,16,500,503,502,500,800,649,282,800,232,503,504,800,502,500,502,135,503,487,502,500,800,504,649,500,503,649,500,649,500,501,503,500,967,16,502,649,502,800,800,649,282,282,500,501,502,502,649,282,503,282,103,800,16,601,502,649,500,752,500,502,282,501,649,501,501,649,501,500,503,649,649,501,502,654,501,800,800,502,282,16,282,649,502,501,496,503,800,501,649,432,503,800,502,503,502,503,800,501,37,743,228,502,800,107,501,942,502,800,800,614,502,16,16,503,282,500,502,379,16,800,502,800,626,503,16,500,649,649,649,649,649,800,500,500,649,500,649,800,502,649,649,500,502,503,679,800,500,501,500,502,503,500,500,501,290,504,807,502,502,282,501,501,649,282,503,800,800,649,800,501,500,649,309,500,502,501,16,500,500,501,282,800,500,800,492,500,502,501,800,282,503,500,103,103,501,503,107,800,502,501,649,649,543,502,800,282,2,935,422,649,500,500,501,503,501,501,500,189,500,391,501,504,16,649,502,503,502,800,361,500,501,649,282,502,282,501,282,504,503,297,502,186,649,282,501,503,501,904,649,290,282,501,800,501,504,500,503,503,500,16,500,501,800,501,282,503,501,839,649,391,500,503,670,649,503,649,501,504,502,502,800,501,800,800,502,350,676,503,503,800,649,282,502,500,501,82,800,503,502,649,649,649,500,500,503,60,282,800,501,503,356,502,501,502,649,501,649,501,501,75,501,501,502,500,800,800,282,424,500,502,649,291,502,649,800,649,502,504,282,502,800,500,649,244,503,649,85,282,501,501,501,501,800,503,190,649,16,649,800,501,12,649,282,501,503,731,503,649,800,371,501,800,503,649,500,649,800,501,429,800,500,503,503,264,649,16,800,800,649,649,800,7,635,501,503,649,103,916,501,500,503,501,503,503,502,7,500,800,103,282,649,800,800,500,502,649,500,503,800,502,649,501,649,500,501,16,89,282,504,850,649,282,503,504,502,501,502,500,502,394,800,502,649,323,503,502,503,503,501,503,503,500,500,669,649,705,800,649,665,282,84,500,503,282,649,500,503,502,630,501,500,16,622,800,501,503,282,800,288,800,503,800,649,649,503,16,501,800,282,800,503,503,500,500,500,501,500,800,773,649,500,16,501,504,282,888,503,500,800,202,503,502,504,16,800,649,800,500,502,501,902,501,501,500,649,504,195,501,501,503,307,282,282,501,503,800,649,574,500,502,137,500,501,500,800,501,503,503,649,187,500,502,16,16,501,344,501,501,911,403,501,500,500,800,502,505,502,502,482,649,502,145,503,800,501,502,24,503,800,501,287,500,502,786,502,800,282,282,502,502,527,500,448,500,500,649,16,649,632,800,539,649,649,503,501,502,500,16,502,500,466,649,649,800,501,282,500,504,501,282,107,500,282,501,800,800,56,103,60,502,500,501,502,608,16,503,500,503,500,502,444,503,228,649,886,336,501,800,502,649,503,282,282,502,500,649,107,502,800,503,649,649,500,800,649,649,649,702,500,800,502,649,649,500,800,501,503,770,502,500,501,502,502,501,649,649,503,649,649,649,502,16,503,923,16,503,800,500,500,502,503,502,504,149,649,800,649,501,502,364,500,800,503,649,501,500,649,800,649,800,695,501,800,503,501,502,504,503,1000,800,501,502,649,282,502,502,500,500,501,282,930,800,282,800,649,649,502,500,40,502,206,501,503,194,649,621,502,649,282,503,500,649,500,745,691,800,705,649,649,500,339,504,501,501,649,502,502,502,800,503,800,503,502,800,504,800,500,649,649,501,502,500,500,502,282,501,483,502,107,107,503,686,500,649,955,502,16,501,800,103,282,504,500,649,500,500,512,991,16,503,163,502,501,503,50,800,500,502,503,800,282,649,501,501,16,649,922,501,800,500,219,501,649,282,516,800,16,502,800,649,800,800,103,649,282,500,503,649,500,800,649,16,503,282,501,502,503,649,502,282,649,800,501,649,502,649,16,649,501,282,800,649,502,800,502,649,502,666,632,269,503,502,502,502,282,800,282,500,649,503,649,282,140,276,502,501,800,501,501,502,500,502,501,501,501,502,800,503,800,501,649,502,800,800,500,282,649,501,649,800,649,500,340,503,502,501,282,16,649,30,502,503,966,800,649,503,705,649,500,500,501,800,501,502,502,16,500,501,502,501,614,501,503,405,107,502,500,800,800,800,705,800,503,502,800,649,16,501,16,501,776,500,503,503,551,501,649,503,502,649,800,501,501,502,501,800,503,400,500,501,502,500,502,800,800,649,503,800,500,282,649,912,244,408,504,800,649,800,500,800,501,501,800,503,16,501,800,502,502,282,282,53,828,649,503,501,649,500,649,881,502,501,500,649,800,800,500,649,502,649,503,649,649,500,500,16,501,503,16,703,282,800,503,16,502,500,503,282,503,503,500,800,649,503,502,888,800,282,500,502,500,584,504,771,812,649,500,500,502,800,649,501,649,502,500,500,500,800,107,503,503,502,500,501,503,500,282,500,649,800,282,390,800,649,649,503,649,501,500,503,500,500,502,500,800,500,800,501,282,502,843,107,503,503,649,649,501,501,501,503,800,649,649,800,282,800,501,649,503,502,500,649,500,282,502,649,649,282,502,800,25,502,502,649,501,16,282,282,529,800,800,503,501,502,800,501,649,501,501,501,501,503,649,501,501,503,501,503,649,800,503,501,502,502,282,649,282,282,503,800,501,800,503,649,502,282,103,503,800,500,500,502,800,282,503,282,282,502,800,500,649,649,501,686,282,156,800,504,503,282,500,502,258,501,16,202,502,501,500,502,16,503,107,500,121,649,503,282,501,800,800,502,503,500,503,501,800,501,800,502,841,852,649,649,649,282,649,500,52,500,502,500,800,649,502,501,501,697,500,649,500,16,800,800,282,501,800,649,502,503,649,800,503,501,502,800,479,707,502,800,503,502,16,503,942,502,501,649,501,503,800,282,502,649,800,500,501,502,649,500,800,500,500,502,500,503,282,649,282,649,500,500,502,503,501,503,16,282,16,500,503,503,502,649,500,800,500,501,16,649,649,800,503,502,800,649,500,649,500,649,503,503,501,800,502,649,16,501,800,503,500,504,47,501,800,800,500,724,503,800,800,500,800,649,500,503,649,800,800,649,800,501,503,789,501,282,503,501,282,806,501,38,502,800,500,649,503,501,889,501,800,502,978,887,16,800,649,502,501,501,502,501,649,800,503,649,503,800,500,649,503,649,649,282,500,649,800,503,502,500,409,504,504,500,501,578,500,503,500,503,503,500,501,503,282,649,503,641,501,502,800,16,501,504,503,800,502,503,502,500,800,502,501,500,501,556,649,282,500,502,503,502,649,649,649,705,503,16,502,503,233,535,282,501,502,501,500,649,957,503,503,16,512,94,500,282,800,502,564,649,615,502,504,389,800,649,500,503,107,282,800,501,501,502,800,502,800,146,501,504,501,16,378,800,500,503,502,500,649,482,503,501,420,502,500,503,649,501,800,649,500,800,500,500,502,649,634,504,503,800,800,800,800,282,500,649,649,282,501,649,649,800,649,501,649,800,800,500,500,103,282,393,16,501,504,282,800,501,502,502,502,649,501,503,500,180,480,282,500,800,107,503,501,800,500,501,504,501,646,649,500,502,800,282,958,500,488,501,800,800,282,501,649,503,649,800,502,504,502,502,107,522,649,542,710,128,502,800,500,649,649,503,649,501,500,500,501,282,800,282,501,800,502,500,503,503,16,503,649,16,501,183,556,42,503,500,501,502,501,502,504,502,500,501,52,501,502,282,649,649,501,350,800,501,503,800,800,649,800,649,500,500,800,800,649,501,330,500,135,503,502,282,500,501,500,503,501,467,500,500,504,500,649,941,503,800,282,503,501,103,803,501,500,180,500,649,502,504,649,800,502,503,649,502,103,649,282,504,503,668,503,501,649,500,282,103,503,501,502,500,500,500,503,503,502,503,649,502,800,282,321,800,500,500,502,503,502,282,501,107,500,132,501,649,807,649,16,500,502,800,500,649,800,649,649,16,800,358,23,500,282,695,501,500,500,508,500,502,705,282,649,501,902,800,503,502,503,500,800,800,649,501,800,822,649,800,800,800,800,282,649,503,502,503,503,502,906,282,500,800,501,282,501,800,501,501,502,500,500,502,501,800,503,490,500,282,649,800,502,501,123,374,282,649,686,504,503,500,649,503,800,649,502,502,107,503,489,503,800,800,282,16,615,649,251,14,282,649,500,502,705,338,282,282,504,136,501,607,502,649,282,501,800,501,504,502,502,282,501,502,500,501,502,502,800,282,502,649,800,501,16,500,960,500,689,503,502,697,800,800,16,500,503,503,254,500,503,502,500,502,503,800,503,500,502,504,649,282,251,950,800,502,502,163,800,501,16,745,500,503,503,500,800,800,571,649,800,282,501,502,504,500,502,503,649,503,502,282,800,501,501,649,800,800,502,234,800,800,800,282,800,282,501,16,649,502,500,800,282,500,503,500,501,800,800,16,649,649,282,718,504,500,800,649,649,501,502,795,705,503,649,800,500,503,649,649,103,649,282,16,500,500,951,282,649,502,649,501,500,503,501,201,800,500,503,282,500,503,503,503,16,502,502,107,282,502,616,502,800,107,501,500,649,503,502,503,58,503,649,649,285,566,282,727,501,649,504,800,800,800,800,501,502,502,500,503,501,504,502,649,500,502,503,800,367,800,800,282,503,712,501,800,500,649,217,504,500,282,502,500,649,502,503,800,502,649,500,649,503,800,282,503,503,963,501,502,928,503,500,500,500,500,649,503,502,800,800,800,500,800,144,503,244,649,282,800,103,282,500,649,501,282,800,649,501,503,800,800,502,501,500,103,649,502,503,501,800,501,500,665,502,503,16,500,243,282,500,166,503,649,504,501,500,800,492,502,282,819,649,649,594,502,501,502,502,503,649,500,200,503,503,649,791,16,504,800,107,502,502,502,894,501,282,800,736,282,502,503,800,502,500,453,500,800,500,502,800,500,501,16,282,502,501,502,800,16,454,501,800,504,500,649,282,500,500,426,502,501,501,800,649,16,503,503,387,501,282,800,800,503,501,501,504,800,904,503,501,504,503,134,16,389,18,501,500,649,291,800,502,147,256,502,502,502,502,500,649,502,501,501,503,502,501,800,265,502,500,502,649,501,500,100,282,428,649,981,282,501,501,503,501,649,501,16,800,501,864,841,282,502,800,649,502,502,503,800,649,501,649,501,500,649,639,500,502,800,800,502,501,800,282,800,649,16,800,501,649,649,221,503,500,503,502,343,649,503,501,260,502,282,503,649,503,800,503,503,500,942,501,504,502,107,501,800,16,500,800,501,800,311,800,502,501,504,800,503,649,908,502,649,503,800,502,503,800,503,282,502,501,800,800,649,282,500,649,282,502,244,500,500,606,502,282,800,378,282,800,504,921,500,282,800,378,503,107,502,649,186,649,502,508,500,693,503,649,500,649,502,502,107,502,503,649,649,115,502,282,500,649,719,800,503,706,282,649,501,649,500,501,649,503,759,500,430,503,800,107,501,500,501,500,416,501,502,501,509,503,503,504,872,503,502,503,133,502,800,501,775,282,503,282,500,501,500,501,501,500,501,502,235,649,457,500,501,500,503,500,503,16,501,800,841,649,500,397,500,503,500,501,501,205,501,800,192,500,800,502,282,649,500,800,649,502,503,800,500,107,129,649,503,503,800,207,501,501,649,16,649,800,500,103,16,800,502,103,503,504,503,800,649,282,693,16,649,500,500,500,282,501,502,500,415,503,649,503,103,987,16,282,968,649,16,649,649,503,107,308,502,282,282,500,412,502,503,502,282,649,501,800,500,282,107,799,500,800,800,649,282,649,649,345,797,649,16,503,501,800,800,500,550,502,16,800,500,502,282,649,502,731,500,649,502,503,250,503,500,649,501,16,501,214,107,500,16,800,503,501,649,502,282,178,800,500,500,800,503,717,107,501,708,800,282,107,800,503,501,503,800,503,501,501,502,501,503,800,626,500,649,421,502,501,649,282,501,503,503,502,501,503,501,649,649,502,800,282,800,503,649,500,501,892,502,504,503,500,500,500,475,503,282,176,449,649,16,78,800,504,500,502,103,649,282,500,958,501,282,501,282,800,503,616,501,501,649,503,800,500,503,874,500,501,310,649,800,933,502,649,503,500,4,503,107,503,107,515,503,503,503,282,649,800,502,503,502,500,498,501,554,503,501,800,504,501,500,800,265,500,649,282,800,649,501,649,503,503,502,501,873,504,503,502,800,500,749,500,282,503,608,502,282,502,282,800,504,282,501,800,204,501,502,800,501,503,282,501,501,9,501,501,500,501,800,818,502,501,282,649,639,755,572,282,901,502,501,503,500,500,501,501,503,800,649,649,107,282,16,503,500,720,862,649,800,500,649,503,649,503,503,500,502,649,649,503,501,502,800,851,765,501,503,649,503,649,649,800,800,242,503,502,502,604,502,503,649,800,649,501,500,500,16,800,503,800,501,500,501,244,503,500,501,502,649,502,800,503,800,282,501,500,800,500,649,601,501,649,800,501,503,503,501,649,16,502,500,282,627,501,502,503,282,504,800,500,24,500,800,501,504,504,503,649,800,503,271,500,500,502,501,800,16,955,737,282,649,705,500,503,502,282,23,800,282,91,501,501,501,833,59,649,30,649,500,800,800,503,503,500,500,649,502,503,609,16,503,800,500,500,649,800,649,503,500,501,500,282,282,525,649,803,461,502,376,502,502,503,502,501,800,501,501,649,500,503,502,501,282,501,501,649,800,500,107,503,649,336,501,503,500,282,800,500,501,899,16,500,649,500,129,502,500,503,544,577,501,503,800,649,800,800,544,503,500,503,103,336,800,503,595,501,649,501,948,500,800,282,500,501,501,503,282,503,649,111,282,16,503,282,753,500,501,649,501,16,649,812,649,649,500,504,501,649,501,503,649,502,402,501,16,503,405,669,800,504,501,282,502,16,503,800,501,500,500,800,501,503,500,649,500,502,649,500,502,912,501,501,649,501,501,649,502,504,649,502,16,800,800,501,800,500,649,809,800,503,52,501,501,504,501,649,282,502,502,502,503,500,242,502,502,501,401,500,800,503,502,502,649,482,769,502,502,849,282,282,16,502,649,800,503,282,455,282,501,502,500,503,500,502,649,800,282,649,282,800,503,800,503,649,649,491,500,503,800,777,16,500,941,502,502,502,635,533,800,502,502,800,800,501,649,684,501,500,649,800,649,800,503,503,500,504,282,500,800,800,392,715,501,800,323,502,502,649,16,503,744,230,500,688,501,501,16,100,501,502,800,649,500,500,629,503,503,500,500,691,16,503,649,282,501,800,500,503,502,800,502,649,500,502,236,502,649,501,800,502,502,16,16,503,500,130,503,501,500,500,649,800,503,503,502,502,328,103,501,500,62,502,800,649,502,933,503,107,800,501,501,502,500,490,649,501,282,16,800,649,800,282,500,502,501,282,282,502,503,502,504,649,800,282,500,504,282,649,502,800,503,500,500,501,503,282,599,654,502,649,501,501,16,503,818,682,504,99,800,503,503,501,800,800,282,503,503,502,501,500,502,502,502,501,502,500,649,24,800,500,16,649,800,503,532,800,649,501,502,501,649,502,649,800,504,502,649,107,502,503,500,800,649,500,809,461,500,178,500,649,500,215,502,649,503,649,501,800,504,503,649,282,800,800,800,502,500,320,649,649,501,504,501,800,800,501,16,503,500,800,502,649,148,282,504,501,502,503,502,800,800,800,501,649,16,282,800,800,502,503,752,501,503,503,649,500,997,427,103,800,502,500,501,501,649,503,503,282,800,501,502,502,282,502,500,503,649,649,501,501,282,211,800,500,500,800,502,371,800,503,800,649,486,649,501,502,24,800,394,502,503,649,649,649,504,502,33,589,107,641,500,501,501,500,503,649,503,500,503,100,800,282,16,167,501,282,500,649,282,800,282,574,503,800,800,649,501,649,282,503,357,800,800,800,502,800,649,502,898,822,500,501,502,18,990,649,500,503,500,800,503,501,503,800,649,649,503,282,502,649,200,800,800,282,503,359,706,503,503,800,800,649,501,649,501,502,500,282,16,501,503,649,649,501,649,501,502,800,649,282,500,502,893,800,168,800,502,449,500,800,503,800,503,500,107,501,504,800,500,502,503,800,503,503,502,649,501,502,16,502,500,502,800,500,282,16,503,502,800,501,503,478,502,503,282,649,500,649,649,282,502,800,503,503,16,16,800,503,500,503,503,501,502,494,502,500,500,500,282,282,502,16,501,800,500,282,282,649,649,503,144,649,501,502,649,649,800,501,500,503,501,649,711,282,501,853,800,649,502,500,16,500,500,124,503,800,501,282,649,502,16,503,502,649,500,800,500,503,500,399,820,501,800,501,649,502,16,503,500,16,282,600,282,503,500,606,800,800,500,800,500,800,800,501,501,649,502,800,16,501,16,502,649,16,800,501,649,800,649,500,649,800,500,649,501,500,800,502,502,282,501,649,705,800,502,16,956,67,502,16,800,649,800,800,502,800,502,500,800,282,289,501,501,649,500,500,257,502,618,502,502,282,500,502,502,800,172,504,649,501,454,504,667,501,16,282,103,500,504,282,501,634,282,282,502,922,502,500,282,409,800,501,500,282,800,500,501,503,584,972,800,503,501,502,501,500,502,649,172,501,503,500,649,500,501,501,502,649,649,502,16,500,502,503,500,649,501,800,503,501,503,282,649,649,500,107,802,800,500,99,649,536,511,664,649,503,272,502,16,649,503,649,236,282,649,502,498,192,504,800,282,649,16,649,23,649,800,2,543,649,500,282,649,649,502,649,500,500,500,282,502,503,649,800,800,503,502,504,800,649,503,501,479,503,16,282,502,282,282,501,500,282,503,503,800,500,800,500,503,503,267,504,500,503,502,649,150,107,501,500,649,649,500,649,521,611,503,503,649,16,800,96,16,649,502,502,853,649,455,501,500,500,282,500,649,500,649,800,649,503,649,501,501,503,800,503,502,857,501,800,501,649,501,649,1,282,503,500,501,649,800,500,502,800,503,714,800,503,500,800,107,503,500,501,501,501,306,500,500,503,649,282,503,500,503,502,800,503,800,503,500,503,503,502,500,501,282,500,800,504,500,282,500,356,649,16,800,800,502,502,75,501,503,502,502,503,501,503,800,501,500,500,800,501,534,503,800,501,800,503,800,714,1000,800,282,500,500,16,800,503,282,502,282,16,502,800,649,844,282,503,282,503,649,503,503,500,282,684,501,504,501,282,649,500,503,501,800,649,282,800,501,649,503,991,504,502,649,501,502,504,501,500,501,649,282,504,649,500,274,502,501,453,500,501,502,107,497,800,16,540,649,500,800,649,503,649,282,525,342,269,340,450,649,500,500,504,170,649,649,962,503,800,104,649,815,500,16,310,503,282,502,500,500,503,385,501,501,459,500,649,800,649,503,504,649,748,502,500,501,649,500,500,873,282,16,501,649,152,503,500,143,503,501,500,501,503,503,233,464,500,501,500,649,649,502,800,501,501,503,500,82,500,500,800,501,500,503,649,649,705,800,503,500,503,502,949,206,649,502,826,502,501,500,500,500,107,503,504,800,649,502,500,501,16,501,501,501,649,649,800,800,677,282,844,282,649,649,282,263,282,282,503,500,16,501,800,800,649,503,503,501,500,800,800,365,523,282,800,502,502,14,500,500,649,503,501,504,800,501,500,502,649,501,500,800,502,501,502,649,503,501,800,502,503,502,502,500,649,84,503,501,800,502,864,491,282,502,16,500,501,146,16,649,800,502,501,500,503,500,282,800,649,504,649,800,502,501,502,503,800,503,649,502,649,282,502,765,502,500,800,503,500,500,502,503,501,367,503,649,282,500,282,502,800,503,501,502,815,16,649,846,16,649,500,500,501,649,503,282,16,501,502,501,275,500,211,666,282,800,500,244,649,800,800,502,500,500,502,800,503,502,644,502,649,800,500,503,800,501,503,502,800,502,503,724,503,111,107,501,502,566,649,579,16,347,501,282,800,502,502,502,500,649,282,502,282,504,214,503,500,500,754,502,503,501,500,503,800,502,501,16,503,649,630,800,500,502,502,649,282,800,800,649,503,503,501,800,501,282,501,501,807,503,918,500,649,892,800,501,503,282,282,502,503,282,649,649,736,800,800,503,500,501,4,649,502,500,649,501,500,800,649,501,800,800,502,800,502,500,503,501,282,503,227,623,504,649,500,502,66,502,503,503,500,196,16,800,501,502,503,503,16,503,649,667,800,649,500,501,107,503,502,502,503,502,502,500,374,501,800,503,502,282,800,500,649,503,649,800,282,649,501,500,800,649,501,503,501,800,649,282,649,500,163,503,500,649,503,800,503,800,800,282,347,503,502,282,367,649,503,503,800,800,502,503,282,800,282,552,649,16,501,800,500,800,282,282,649,216,501,282,800,649,282,649,741,649,503,502,503,500,914,140,649,503,501,800,150,282,808,670,503,282,502,503,503,649,649,649,502,502,503,613,501,502,501,501,503,649,16,500,502,991,154,501,502,502,649,503,999,500,502,502,501,503,501,501,640,142,502,501,500,879,16,957,502,502,503,504,649,502,649,649,800,501,16,503,282,503,722,942,649,545,503,649,800,649,503,282,800,800,800,502,487,800,502,502,649,500,503,503,500,502,649,501,500,501,502,501,503,282,649,649,649,16,800,502,502,503,16,501,500,649,500,501,500,282,503,503,502,800,649,266,500,503,466,502,502,800,649,501,501,282,800,500,282,21,16,502,647,771,501,800,282,501,502,18,503,299,649,500,503,800,649,649,282,502,500,422,649,800,504,649,503,503,649,502,503,502,503,501,649,800,649,800,649,800,503,504,504,500,649,12,649,800,501,5,501,501,502,649,459,503,502,500,503,800,16,501,282,237,649,502,649,963,500,500,500,501,649,503,501,501,502,500,800,500,282,293,500,502,282,16,503,649,107,203,555,701,501,800,528,606,649,649,649,501,436,649,502,449,939,800,500,500,649,500,317,800,501,503,800,800,501,282,502,502,501,503,501,501,35,649,502,500,502,364,282,501,501,649,282,503,649,501,800,504,502,501,500,800,16,249,282,501,649,502,501,563,282,502,800,282,649,800,502,420,800,800,649,501,282,503,16,503,807,649,337,29,800,503,764,409,517,649,15,45,500,500,16,502,16,503,501,16,800,16,500,800,501,503,503,500,501,649,500,649,649,800,502,503,501,502,502,649,501,649,16,282,500,501,814,649,351,503,6,827,649,282,501,503,501,800,303,502,501,502,501,649,151,500,504,586,368,849,649,800,500,800,23,649,596,503,16,800,501,459,501,500,503,500,649,502,670,649,649,667,649,501,502,500,502,503,502,501,489,501,501,220,130,500,649,500,830,501,16,500,503,800,282,500,503,502,503,649,282,800,538,504,501,501,907,649,34,282,998,501,800,649,282,467,502,500,503,649,103,500,800,501,262,649,502,800,872,649,107,282,800,500,501,16,649,103,500,502,500,800,502,501,800,16,800,564,500,502,503,504,16,649,501,500,454,107,800,800,800,414,503,503,170,501,500,800,503,444,503,800,800,503,522,800,503,649,844,500,503,107,503,501,456,500,503,16,502,114,500,502,503,800,503,500,282,649,483,500,298,500,649,502,501,800,800,800,503,503,277,800,947,504,282,500,503,800,500,616,500,501,800,501,800,501,503,574,649,16,504,800,503,282,501,282,501,800,800,649,503,502,800,649,500,572,501,800,800,500,981,282,500,800,503,503,800,502,865,800,282,800,282,423,500,502,16,649,282,503,501,500,898,502,503,16,503,502,800,649,501,550,503,483,282,800,858,800,503,501,502,938,800,800,282,649,501,800,503,472,800,500,502,500,502,649,502,503,502,501,503,502,502,500,349,232,649,500,800,504,500,501,766,500,952,649,649,649,649,52,500,503,282,500,649,503,502,107,501,482,501,649,241,503,649,16,501,649,501,800,504,661,649,501,649,741,637,500,282,501,649,16,503,649,649,16,501,500,503,958,500,649,649,502,503,501,649,500,390,649,649,355,349,649,282,747,503,502,501,155,107,502,501,503,800,16,501,715,503,502,502,800,282,500,800,500,500,501,501,501,502,649,503,501,649,501,501,503,591,282,500,502,500,500,800,16,649,502,502,504,649,504,502,503,500,649,649,501,668,501,649,800,175,502,649,502,501,500,282,800,474,107,500,282,503,352,282,503,501,800,502,103,649,502,502,502,501,16,135,503,500,649,241,649,649,800,16,502,501,502,949,501,503,282,500,800,500,502,502,501,502,503,500,504,649,500,502,282,800,501,103,800,800,800,14,501,500,501,649,649,503,800,500,649,501,501,649,502,649,501,501,501,503,502,501,500,500,503,282,501,227,282,282,16,502,502,282,649,800,30,282,209,500,502,800,166,649,649,502,502,891,501,649,500,500,502,800,282,501,500,502,501,583,800,501,800,502,649,501,800,503,500,282,504,649,800,800,503,489,502,500,800,715,500,501,501,649,649,504,503,649,638,282,501,501,502,502,503,500,500,649,502,593,500,502,500,903,85,800,649,501,501,501,500,503,502,649,502,65,820,501,502,649,800,649,649,503,501,500,502,502,500,500,57,776,500,501,501,649,501,649,502,649,502,504,501,500,501,800,649,888,649,503,500,502,502,649,649,649,800,502,282,16,282,501,500,367,649,503,502,649,800,500,616,502,502,503,282,503,800,800,800,944,107,501,500,282,503,649,503,500,502,501,649,649,649,649,503,649,500,649,501,503,800,800,502,503,878,124,649,649,751,340,800,502,282,501,502,649,502,502,503,501,800,502,503,502,502,800,501,502,503,501,800,502,502,205,502,500,504,800,282,503,504,503,501,395,503,502,282,800,504,800,961,502,502,502,159,800,502,501,649,500,502,649,800,501,800,16,503,649,501,282,502,503,800,501,500,385,800,502,500,501,502,502,500,800,500,16,500,633,501,800,503,503,649,800,714,500,502,501,502,501,649,800,501,500,122,503,282,649,800,503,920,16,502,362,649,503,501,503,501,500,501,800,705,18,500,502,502,502,800,500,282,500,800,502,502,71,501,800,500,413,502,649,500,282,501,501,503,579,501,282,500,649,502,502,800,502,175,500,502,649,502,503,649,649,800,501,649,875,501,800,707,502,500,282,524,500,503,861,800,504,500,500,500,282,500,500,500,649,800,800,6,721,649,502,501,504,503,501,649,107,484,501,282,500,503,800,649,501,800,739,282,502,800,16,103,800,502,649,500,800,223,800,504,107,649,282,282,800,502,500,500,501,16,502,503,502,503,800,649,800,523,800,503,502,800,503,282,503,501,503,110,712,500,800,800,705,649,502,871,500,500,503,502,502,800,800,500,988,282,500,500,282,502,502,649,500,501,800,800,218,715,16,504,500,649,800,500,503,501,282,649,649,158,502,500,503,649,800,74,800,800,800,500,649,500,800,649,800,500,800,501,103,502,503,504,800,503,17,501,800,501,282,501,16,503,800,649,503,109,649,649,501,503,503,800,103,504,501,826,500,800,503,614,502,501,282,800,800,800,501,503,16,500,502,16,502,502,503,501,500,649,501,649,502,501,613,500,800,503,502,500,504,503,800,649,501,800,526,503,502,282,800,500,649,16,501,680,370,800,649,503,500,282,500,649,696,649,649,800,16,501,502,16,501,501,800,502,282,800,500,461,380,502,282,16,282,282,103,503,502,502,500,501,800,649,501,504,501,501,16,501,577,502,800,502,282,501,649,282,502,705,282,649,503,503,502,844,501,502,500,800,800,500,649,143,502,649,649,800,649,800,501,502,282,282,107,502,503,423,800,282,649,440,800,649,649,649,282,482,502,503,502,503,501,535,649,502,501,282,503,504,800,503,503,807,282,800,501,125,503,649,649,649,502,999,800,502,501,800,356,503,501,501,800,800,502,503,187,649,503,500,501,496,705,500,501,501,501,503,665,800,500,501,501,500,107,800,800,500,501,502,649,282,800,500,503,557,800,88,503,502,504,847,503,501,800,933,502,341,16,800,503,649,649,282,500,16,282,682,501,480,502,649,501,649,282,502,501,218,649,16,502,634,503,282,502,503,649,649,800,800,649,192,500,800,503,800,503,500,503,503,562,501,500,501,800,504,282,649,501,503,502,501,649,504,503,16,502,500,500,649,800,501,501,748,16,800,369,500,16,649,503,503,501,800,311,502,503,800,501,800,649,500,649,800,500,503,500,800,500,282,501,413,503,800,282,649,500,500,462,705,503,501,16,503,282,282,500,649,504,800,503,282,679,649,922,500,500,649,417,800,800,500,503,502,500,501,500,501,649,800,649,500,282,502,800,502,503,502,503,500,501,911,107,501,800,501,500,743,649,654,800,500,500,800,503,649,500,671,504,502,501,501,501,649,501,611,282,649,107,500,649,649,502,501,502,503,16,501,686,222,503,107,500,343,503,282,501,500,500,800,502,649,502,502,500,800,282,503,502,702,501,800,107,501,649,649,503,16,503,800,800,500,800,504,502,502,282,503,901,867,649,52,502,500,501,649,502,501,502,500,502,419,500,500,503,500,503,169,502,800,990,503,800,660,258,406,503,502,845,77,500,11,547,649,502,501,16,501,502,502,649,800,649,500,503,205,107,503,649,503,501,649,692,624,500,503,282,503,108,500,282,501,501,502,503,649,500,649,502,502,800,500,282,800,503,501,444,503,501,502,502,717,282,800,103,503,502,800,500,997,503,504,503,502,16,500,649,503,423,501,282,282,502,500,501,16,503,800,107,503,501,503,855,649,282,986,649,500,503,502,503,503,420,351,502,502,503,503,742,504,501,502,282,500,500,800,501,861,649,669,198,800,501,500,282,502,500,282,282,282,800,500,502,282,500,501,282,282,501,649,501,504,502,503,649,502,503,500,649,502,500,504,500,103,800,502,800,501,503,500,649,501,649,800,502,282,800,500,500,500,649,502,502,800,501,282,503,16,244,503,107,649,501,502,502,500,500,649,500,504,501,16,800,500,109,500,16,500,500,282,502,500,500,813,502,501,503,800,501,503,501,501,800,500,502,107,504,282,500,503,500,649,687,649,503,282,503,649,674,503,800,500,13,503,729,800,100,649,500,502,800,500,502,501,800,503,800,503,131,649,503,504,649,500,282,502,800,501,501,649,501,501,500,502,800,833,649,358,800,503,343,800,500,16,502,649,503,649,16,800,753,282,503,107,649,500,800,500,501,500,501,504,502,501,282,649,78,649,282,591,320,503,757,500,501,501,500,705,107,503,649,503,282,16,136,649,800,501,800,885,501,500,502,649,827,649,501,649,502,83,756,503,649,502,501,500,501,649,503,500,800,502,501,501,500,503,504,502,502,501,501,500,451,501,500,282,649,502,282,500,772,500,500,800,501,800,503,282,800,800,282,800,500,649,502,535,502,282,503,649,502,16,502,16,800,502,800,500,16,103,503,501,282,501,649,500,501,503,800,500,503,16,649,501,107,500,503,649,282,503,500,800,504,500,500,501,914,800,503,649,800,282,800,501,503,503,649,800,504,502,666,282,649,649,649,800,503,949,501,501,502,800,946,500,500,282,500,500,501,501,501,800,107,800,800,649,503,282,202,800,800,502,501,800,800,500,649,800,500,500,66,500,501,172,800,649,503,106,649,501,503,501,443,501,352,800,504,649,649,501,800,502,502,503,502,235,282,430,503,503,800,502,502,800,503,800,501,501,126,501,503,501,587,501,147,501,800,500,502,502,503,16,580,800,797,500,170,282,500,501,500,282,500,488,504,800,500,503,967,800,800,503,800,17,282,800,503,204,16,501,282,503,501,503,800,503,501,502,500,800,649,501,155,500,500,500,503,980,113,824,729,800,500,502,282,502,500,503,649,705,500,832,503,514,649,866,282,282,500,103,649,984,895,502,500,503,503,500,503,16,16,501,282,649,649,503,649,500,649,503,502,16,125,646,282,649,503,800,502,503,649,282,800,501,504,537,502,800,649,503,500,503,500,502,800,503,500,501,282,282,502,649,933,503,649,649,649,500,503,503,501,649,503,503,502,107,504,502,649,661,800,800,107,500,503,282,541,800,504,649,500,282,16,521,282,649,502,502,500,503,649,500,649,502,16,43,500,823,500,649,649,503,282,502,500,649,179,501,502,503,502,502,649,649,503,497,649,500,500,800,500,503,501,501,503,502,649,503,282,500,800,649,800,501,503,503,755,503,500,500,502,503,501,800,504,501,501,502,16,800,800,500,842,502,282,500,503,649,800,282,318,16,854,502,502,503,282,649,502,502,502,502,500,500,502,649,501,639,649,503,839,649,500,649,501,500,800,103,16,800,500,500,649,503,940,501,726,649,800,282,502,800,16,502,649,800,649,649,16,800,502,282,503,502,500,503,501,500,282,500,502,503,282,501,649,502,282,502,501,501,649,502,443,986,649,649,503,649,282,649,800,503,503,503,649,503,500,16,500,107,649,800,500,800,800,503,502,503,800,501,503,649,800,800,683,800,501,502,800,503,800,503,649,500,503,649,502,503,501,504,800,649,800,205,503,503,500,501,719,500,501,649,502,649,816,800,583,649,649,282,501,503,800,502,570,502,503,501,846,502,711,501,503,503,848,282,501,501,503,500,800,282,800,649,501,502,649,649,649,501,500,649,503,501,649,502,502,264,597,800,800,623,649,16,502,501,502,800,649,503,227,649,501,501,503,649,513,501,503,501,500,282,968,503,500,500,503,502,649,107,800,800,232,502,282,923,500,800,800,502,501,503,501,800,500,802,503,800,501,503,541,649,501,502,501,649,501,502,699,800,649,282,501,282,649,502,542,503,649,282,649,503,649,503,502,103,649,500,649,649,500,800,649,282,649,282,649,500,649,800,501,503,500,649,502,16,500,282,502,500,502,501,800,501,500,800,502,500,501,146,501,649,504,503,546,501,500,503,500,500,800,282,282,501,502,502,16,800,16,501,504,83,501,500,169,267,500,800,502,282,282,515,351,500,649,500,503,501,649,649,500,16,649,503,502,282,501,501,800,800,322,500,731,503,230,500,309,501,502,503,500,502,282,501,880,800,649,501,503,962,16,649,845,500,502,540,649,649,502,886,282,282,503,649,800,800,800,502,487,500,503,16,800,500,500,106,992,153,501,503,282,500,649,419,649,282,503,649,500,503,699,500,503,502,501,649,502,502,800,689,501,501,501,800,501,282,500,500,503,501,649,504,649,800,800,504,649,500,500,918,501,800,502,501,502,649,990,500,800,500,500,889,649,500,500,800,503,501,559,497,649,800,242,16,981,502,943,649,800,649,500,502,800,563,649,649,502,502,931,501,502,818,308,501,16,503,800,500,649,502,800,500,504,502,234,649,282,500,765,500,800,649,503,282,501,649,501,649,282,800,800,16,500,503,195,649,498,649,502,800,504,800,649,800,649,500,503,800,503,649,502,282,502,649,501,107,863,500,501,800,501,502,649,503,504,503,501,501,485,649,502,500,503,761,502,800,939,16,87,500,501,649,502,282,800,800,503,16,503,670,501,649,282,500,500,282,282,649,502,502,502,503,800,800,501,282,649,241,103,956,502,503,502,501,503,282,501,501,501,503,504,547,567,649,500,107,502,877,542,502,502,885,16,800,649,500,501,282,501,282,282,503,500,501,503,504,629,800,504,502,800,503,502,282,502,649,649,500,501,503,107,282,503,503,733,559,649,502,800,502,501,649,649,146,637,649,503,800,649,800,103,754,503,503,501,800,107,800,503,502,223,501,500,282,800,503,649,503,800,502,810,800,950,800,503,800,275,502,800,585,16,502,500,649,282,500,649,500,649,502,800,500,503,501,501,502,800,103,103,533,800,504,503,500,500,501,503,500,501,16,800,501,502,160,503,500,649,582,503,800,500,649,501,649,16,358,800,501,649,500,500,282,649,503,502,503,500,502,502,503,649,600,282,502,500,800,800,16,800,423,502,503,502,503,649,800,500,800,306,504,649,502,500,500,502,386,649,649,502,500,800,501,503,800,571,501,500,282,502,501,500,503,501,764,774,16,107,649,503,282,219,538,500,89,500,501,502,800,502,16,500,282,499,590,16,840,503,649,502,649,649,649,500,500,649,16,500,503,103,501,500,500,502,503,125,800,16,282,649,502,501,16,502,800,500,500,432,500,649,501,282,501,502,242,800,994,282,282,443,501,800,500,800,252,649,503,957,501,649,649,346,503,502,999,800,282,503,800,800,649,800,282,501,500,705,501,282,16,649,282,800,282,502,649,502,500,503,649,502,500,800,501,800,501,800,500,502,800,502,649,500,649,502,500,713,649,502,500,501,502,697,500,500,503,649,800,501,282,503,649,502,800,282,502,937,503,16,649,500,501,886,693,501,800,503,800,282,503,107,267,16,282,502,503,963,300,786,378,936,501,501,502,501,503,500,649,282,502,800,501,282,503,282,649,800,800,500,282,282,800,503,800,502,649,800,800,282,500,800,501,800,503,500,755,16,800,915,501,282,282,501,502,649,282,16,800,502,282,502,649,503,501,800,501,16,503,502,500,503,649,800,800,503,530,649,649,649,282,445,282,504,800,800,500,282,503,993,282,800,282,649,502,282,103,502,501,501,503,800,16,649,800,503,649,591,500,282,270,501,800,501,502,514,503,500,547,500,503,216,503,187,150,807,800,825,649,500,502,500,928,502,62,16,800,503,649,502,500,800,282,153,501,649,501,503,282,800,710,501,500,502,800,107,500,502,503,500,500,500,282,503,649,501,502,504,501,282,282,272,501,501,500,649,649,282,800,800,503,501,504,649,501,413,800,500,502,500,649,282,500,500,800,500,649,649,705,503,800,500,282,502,800,649,500,649,502,500,500,502,501,500,448,649,501,500,649,504,494,503,649,649,323,649,501,502,501,504,282,649,800,282,800,649,502,873,983,420,297,503,947,800,501,649,244,503,503,16,503,502,503,501,502,501,501,501,282,501,800,501,500,501,500,345,649,502,501,500,501,800,502,649,500,503,504,649,974,482,502,500,649,997,500,502,649,500,500,502,282,503,503,502,500,500,800,16,503,800,501,649,426,500,503,807,500,502,500,500,800,502,501,800,649,282,282,934,500,649,502,500,282,282,503,747,501,800,503,500,501,649,503,968,500,800,503,649,503,500,649,503,783,504,649,503,529,501,500,501,975,800,503,800,502,500,500,649,503,278,282,501,282,502,800,500,649,501,504,500,282,500,984,503,282,502,501,502,503,501,101,164,501,500,503,800,800,503,503,503,502,503,503,800,649,501,311,504,503,500,502,271,282,95,282,282,500,502,504,501,502,501,503,503,503,502,127,800,937,685,501,171,502,503,649,16,282,649,502,649,807,502,800,502,649,649,503,649,649,282,502,800,800,501,501,800,502,501,500,504,501,504,800,500,463,649,500,500,282,500,503,502,800,258,606,649,16,503,893,354,503,503,501,800,503,282,501,502,500,800,503,500,649,500,100,800,500,502,282,282,800,501,800,951,361,503,503,502,503,503,500,503,800,800,500,871,649,501,649,282,16,282,500,503,649,502,500,500,854,649,502,800,244,503,500,649,282,502,503,327,800,502,500,800,500,500,16,503,649,800,501,501,649,502,502,503,503,649,16,42,49,800,502,500,502,171,501,501,649,502,15,35,16,649,503,336,500,502,503,501,502,269,649,16,502,501,500,16,16,500,503,282,16,270,502,800,501,502,503,501,500,783,649,503,649,501,503,649,501,500,143,502,511,649,501,344,649,778,502,16,254,649,500,282,503,502,800,502,800,649,649,503,503,66,502,800,16,503,800,503,649,16,16,501,503,800,103,501,502,649,501,502,503,282,295,501,502,502,282,503,503,501,345,800,649,800,800,852,649,649,215,502,800,649,502,800,16,16,287,451,649,800,16,502,649,501,503,386,502,501,910,800,501,503,503,502,503,500,502,503,500,502,503,503,800,500,282,649,500,800,800,503,502,649,992,501,282,282,282,501,502,504,501,800,500,800,649,649,500,800,501,649,16,551,649,503,501,85,503,649,8,800,503,502,503,500,500,282,504,282,649,282,503,994,649,407,282,800,503,504,800,501,800,834,649,800,736,649,501,16,367,649,16,649,502,800,649,649,503,501,500,500,501,649,500,800,649,502,216,502,800,649,48,649,500,500,500,502,504,502,500,503,282,649,501,501,649,500,800,649,500,649,800,503,649,502,503,649,800,800,503,502,649,500,992,503,501,500,800,501,500,649,501,740,23,500,502,649,649,800,502,282,503,318,502,502,503,265,501,502,800,503,107,649,502,501,800,282,800,504,800,500,208,494,725,649,503,501,800,503,501,604,501,502,649,800,501,501,800,503,502,501,503,500,501,800,502,500,951,500,500,502,503,793,503,16,649,503,502,282,649,502,500,500,503,502,282,501,502,501,501,282,503,500,502,501,649,649,649,800,501,649,502,502,800,500,500,503,649,502,649,649,649,800,646,649,503,249,502,500,800,503,503,649,501,502,502,502,785,503,500,501,16,453,502,501,501,500,196,501,16,605,999,500,800,503,500,502,603,501,503,502,736,503,649,503,649,503,282,282,501,500,502,800,501,500,800,649,504,502,800,500,649,501,502,16,502,503,576,649,282,649,649,502,296,503,649,800,502,800,800,503,812,16,649,503,253,282,500,501,501,467,649,782,500,282,501,649,800,502,396,502,631,73,649,649,499,800,649,800,649,282,502,649,501,649,503,649,649,500,183,502,800,588,649,562,500,504,502,504,500,107,282,800,503,503,649,282,649,800,649,282,282,800,800,503,502,512,16,501,282,501,501,500,500,575,500,649,800,503,500,500,502,502,502,500,286,649,800,78,649,800,500,282,649,800,503,800,265,802,500,282,500,339,649,502,981,500,502,16,649,501,500,500,800,649,502,16,501,800,800,16,504,800,649,169,800,282,502,501,282,501,503,502,649,502,306,503,100,500,676,16,282,503,500,500,103,501,503,500,818,649,504,502,800,282,649,501,649,500,501,503,500,145,502,904,120,503,361,501,800,282,502,501,501,501,501,16,800,500,282,800,501,502,649,501,16,748,503,501,617,503,503,282,501,297,649,503,282,1000,503,649,482,649,501,500,503,502,500,282,800,502,501,16,500,503,502,503,16,800,502,800,501,501,502,282,438,649,649,501,501,502,282,500,893,705,504,800,500,503,800,503,16,503,896,282,800,503,502,502,501,500,502,502,502,502,503,501,282,503,501,800,500,503,503,900,649,503,504,649,500,282,649,502,502,503,500,502,705,800,503,501,649,504,800,649,503,500,500,282,282,500,649,824,500,800,800,707,501,800,503,501,76,706,800,966,282,500,16,814,500,16,16,498,500,970,502,800,503,800,800,500,800,500,501,502,223,800,502,501,502,159,649,500,502,649,503,915,282,649,502,282,649,500,503,788,504,500,282,502,500,501,624,649,502,501,649,500,649,503,502,16,504,501,501,800,503,800,649,503,691,503,649,800,16,649,501,282,282,501,502,782,996,649,500,587,42,649,282,649,16,800,538,503,506,649,502,858,500,649,501,282,649,688,502,500,906,649,418,800,793,282,500,649,649,500,501,502,500,500,503,107,501,16,503,500,503,503,282,500,500,800,800,503,520,649,500,503,502,800,282,649,502,500,282,649,503,500,649,649,800,503,649,800,282,882,503,502,69,16,502,502,503,472,502,501,500,502,800,878,649,502,500,503,503,503,504,502,649,502,484,502,502,500,649,503,649,503,225,800,800,800,800,429,649,500,503,501,282,140,800,482,16,502,501,16,502,503,501,649,500,501,282,553,479,503,649,503,282,649,4,500,503,800,502,501,502,545,726,501,500,501,500,649,500,500,502,103,501,282,760,502,502,16,800,282,500,649,500,800,800,649,649,556,523,501,501,502,649,500,502,649,282,649,800,702,501,649,502,502,501,800,649,800,501,25,800,501,502,107,503,500,649,502,501,649,370,649,800,500,649,773,800,282,191,800,500,502,16,107,103,500,501,649,649,502,282,800,500,503,649,503,649,649,990,503,800,282,649,501,649,500,520,500,502,800,282,16,502,501,649,16,800,448,649,503,502,649,649,800,501,481,502,282,502,501,503,800,134,800,282,503,501,649,501,500,502,502,16,800,501,501,800,501,800,500,649,16,107,501,800,800,503,502,282,500,502,282,502,699,503,282,501,503,523,501,649,503,500,16,503,502,502,500,502,503,649,107,578,501,16,344,501,501,800,500,502,1,818,503,282,649,504,649,107,649,800,502,502,500,502,503,649,282,501,503,501,649,282,501,282,649,863,501,500,502,501,282,501,500,282,500,649,502,503,800,502,290,502,502,504,342,649,649,649,297,800,502,649,502,72,501,501,501,502,16,800,503,500,500,282,886,800,503,492,282,500,500,282,500,800,502,282,800,649,649,502,501,649,500,699,649,502,800,500,332,501,649,259,649,502,501,804,502,649,800,500,282,500,502,278,503,502,597,344,500,502,649,503,710,501,502,500,649,504,800,987,503,503,501,500,662,472,800,39,501,503,800,800,282,503,501,500,235,649,800,502,649,503,500,503,501,503,502,282,649,649,800,501,502,800,649,502,800,16,502,16,500,501,649,649,800,500,800,16,282,500,503,501,503,282,800,500,502,649,800,649,501,604,282,800,649,649,503,500,501,502,649,282,500,649,354,705,800,16,174,502,501,649,502,330,501,888,500,649,503,649,501,500,583,500,502,649,649,107,649,78,800,500,504,500,502,503,502,502,649,282,800,800,500,649,503,110,500,502,502,502,500,502,502,503,649,500,500,500,502,503,101,930,502,800,147,502,649,503,500,239,502,649,502,282,501,16,501,649,501,501,16,134,282,503,649,755,502,800,502,501,800,500,282,502,103,585,282,502,501,502,500,502,835,635,916,932,127,501,282,180,502,800,503,800,502,500,649,501,501,800,649,16,282,517,503,500,502,282,649,800,103,500,500,504,502,800,282,502,44,501,649,274,503,503,800,950,501,649,500,152,253,500,192,987,800,702,502,502,649,649,503,282,800,503,501,500,282,649,501,54,502,800,583,649,107,501,800,504,663,800,800,16,502,500,503,501,282,675,500,649,502,502,502,800,913,503,500,502,800,502,501,800,503,500,503,500,502,502,649,500,282,504,500,574,504,500,502,502,649,356,502,502,502,649,502,800,695,500,875,503,500,282,503,501,649,649,502,503,503,800,500,502,502,504,649,504,806,500,503,81,500,649,500,500,502,158,395,502,501,502,502,503,369,244,501,800,502,501,362,800,501,502,649,649,500,500,388,800,649,699,800,800,800,503,502,800,282,16,503,500,502,649,502,671,282,500,800,649,500,649,501,462,649,705,649,800,503,503,503,174,800,800,626,501,800,125,500,500,16,904,500,502,501,270,503,940,107,800,500,282,649,66,28,800,503,502,502,503,500,503,282,693,503,800,920,649,795,504,503,79,282,503,503,649,503,282,503,649,500,733,726,502,503,501,500,502,500,503,504,800,500,502,800,531,500,502,501,765,502,501,558,504,501,500,501,800,282,800,800,500,800,501,501,503,501,749,16,502,500,500,500,100,501,649,502,501,501,649,649,501,500,503,800,649,503,800,649,501,649,501,501,503,500,118,649,503,503,282,800,108,107,502,282,500,800,649,649,502,654,649,649,503,504,501,503,504,500,503,800,503,501,649,800,282,500,502,800,16,209,502,503,501,800,649,502,16,504,649,29,800,933,503,649,502,649,392,500,501,500,800,111,501,503,103,501,501,800,502,831,819,800,502,649,502,282,649,649,649,502,502,800,421,649,603,649,500,282,140,503,800,502,800,501,501,282,649,800,501,649,501,500,486,501,679,501,954,591,185,649,503,500,501,503,503,502,649,20,282,500,501,649,800,501,649,800,500,16,500,16,800,503,502,755,800,501,503,800,503,800,282,591,504,500,500,132,649,807,182,500,282,649,504,649,800,594,800,503,503,503,800,501,523,501,800,502,501,16,282,649,282,503,502,50,503,501,503,649,107,282,800,501,800,500,503,800,501,500,649,500,877,500,500,500,502,500,335,502,501,500,500,502,800,500,103,649,500,800,649,500,16,536,649,501,282,800,649,990,500,779,501,800,501,649,649,800,649,500,800,500,500,501,649,800,800,649,500,500,501,501,502,503,503,501,800,856,500,501,86,800,800,649,384,649,503,502,16,501,649,800,503,503,502,500,800,95,800,282,262,185,501,800,501,501,645,705,649,503,649,649,500,800,503,800,800,138,501,502,503,501,501,500,502,649,800,502,504,500,800,649,501,649,199,501,501,649,800,503,500,16,428,501,504,800,212,501,649,501,480,649,282,800,282,649,504,503,501,503,649,282,500,503,502,88,447,501,376,800,649,500,649,503,503,800,501,800,503,423,501,255,503,248,649,502,503,500,649,731,503,501,282,503,649,529,501,16,800,501,103,800,681,649,658,907,649,501,501,502,800,16,500,800,649,500,282,503,649,800,529,515,303,55,649,502,501,800,800,800,363,503,994,502,800,502,282,501,282,502,954,501,800,503,282,800,649,649,502,502,282,107,649,784,800,56,282,500,649,500,800,503,216,500,500,502,649,800,524,800,502,502,501,859,503,16,501,503,503,503,107,481,502,501,649,502,503,504,476,503,502,502,800,800,503,500,502,16,500,649,502,322,503,800,502,40,282,800,649,800,503,501,500,502,380,610,735,107,502,502,500,501,282,902,571,500,501,649,500,503,501,800,649,503,501,401,649,504,502,649,282,16,503,837,501,649,649,649,500,960,501,282,501,16,502,800,649,863,502,282,501,649,800,746,501,550,503,501,502,930,500,500,124,215,800,503,503,285,500,503,501,800,500,502,800,282,501,282,705,691,183,501,500,649,943,502,500,503,501,800,16,800,500,502,876,649,502,103,649,501,903,282,502,503,500,16,502,502,649,649,531,502,478,282,129,502,800,502,848,649,500,649,501,503,16,502,503,501,800,952,649,800,502,800,649,14,800,502,282,800,500,417,282,649,501,500,502,736,649,502,649,282,649,619,649,502,500,129,649,501,502,500,800,649,903,853,16,800,746,502,649,501,502,649,500,502,502,504,503,502,649,501,502,16,800,800,649,649,500,917,504,502,503,800,500,500,800,894,107,501,649,502,282,501,649,500,502,501,502,503,500,501,501,649,77,800,649,282,502,649,500,500,503,310,502,728,609,502,501,16,502,592,948,501,890,500,503,502,500,503,499,649,504,504,500,649,282,503,649,501,500,504,649,502,800,386,502,502,500,501,307,800,649,501,503,113,501,649,501,500,800,474,649,502,500,800,503,501,500,800,502,649,500,504,500,503,649,282,502,501,503,649,800,501,800,501,409,503,502,16,501,503,16,421,795,282,649,501,501,502,503,498,500,503,16,282,649,649,503,649,800,502,500,705,927,502,786,502,500,503,649,503,502,500,649,501,501,500,419,500,501,828,500,800,800,16,896,502,502,503,501,799,282,282,501,282,282,800,207,649,504,500,729,800,501,800,500,502,703,800,503,502,501,649,501,500,500,503,649,846,800,282,282,501,838,800,503,815,649,504,504,501,503,501,500,240,247,282,649,800,503,501,501,800,800,500,501,503,501,500,800,282,503,502,501,800,405,16,88,107,800,500,501,500,504,504,501,103,500,503,500,649,282,502,282,503,500,503,500,16,501,3,649,663,282,502,503,500,502,649,503,502,501,979,226,16,503,500,503,800,502,503,503,800,502,502,800,800,720,649,676,103,785,500,502,795,501,997,502,649,800,128,501,502,649,502,250,502,503,649,649,501,649,501,800,800,500,649,500,800,501,502,800,649,42,502,500,681,502,500,649,107,502,115,501,282,282,503,501,649,501,502,282,649,65,502,970,649,282,700,501,800,512,649,613,500,16,800,500,500,502,16,16,969,501,800,649,800,649,761,649,800,282,504,649,502,502,282,282,649,16,800,800,501,649,501,503,502,800,504,503,504,501,837,649,500,545,282,455,664,623,800,500,502,282,503,800,500,800,503,503,713,500,503,649,282,591,671,649,649,800,451,800,502,502,800,800,500,502,800,800,800,503,125,649,503,503,649,648,500,501,502,649,502,881,828,815,800,649,16,800,501,503,800,282,318,16,800,282,501,153,503,16,504,649,502,833,657,800,500,800,69,649,502,16,649,458,800,504,16,383,649,282,800,800,503,502,635,501,282,502,4,500,501,800,500,296,800,501,649,501,500,807,800,502,500,649,503,16,502,501,16,500,501,503,800,606,503,502,502,649,800,929,800,800,649,502,16,501,501,282,25,649,574,502,649,501,800,649,501,16,812,503,502,800,501,503,500,504,501,503,800,800,500,500,500,475,649,800,467,649,282,500,408,500,500,282,282,634,500,649,501,16,649,500,500,727,501,501,502,800,800,598,649,504,503,357,502,502,649,503,500,800,500,282,649,503,245,800,16,649,502,502,503,649,907,500,502,503,501,241,649,500,649,649,649,501,16,282,503,503,649,438,503,781,31,282,649,502,16,502,502,649,500,503,432,501,501,501,46,501,501,649,503,503,800,800,990,800,501,502,501,649,345,559,800,706,112,649,503,500,501,282,502,801,51,500,503,16,500,502,800,502,992,16,649,503,649,107,502,500,480,500,500,500,502,649,500,649,500,501,500,649,502,502,503,501,641,16,501,800,649,800,800,500,282,282,188,501,178,649,800,800,649,503,500,502,800,61,406,500,282,502,800,502,282,503,720,800,501,649,288,503,501,502,501,282,849,800,502,500,503,501,800,500,501,500,362,501,500,908,869,502,16,503,503,800,800,500,500,500,800,968,649,501,282,502,500,503,649,16,649,501,503,649,500,502,334,503,479,503,267,649,649,501,503,501,998,16,503,501,107,502,500,503,800,503,282,800,683,501,503,645,502,282,800,282,503,16,501,750,649,649,649,332,503,502,800,800,501,649,649,649,503,800,501,501,500,502,16,282,501,501,501,502,503,16,502,503,501,501,501,501,604,501,503,649,500,649,502,503,501,501,282,649,800,891,649,800,16,500,351,504,500,503,500,503,563,800,503,501,649,503,749,670,800,649,763,144,500,649,503,500,502,503,282,501,501,500,800,649,800,649,583,503,800,649,649,421,500,502,502,649,282,649,501,800,502,502,503,965,283,500,501,503,16,500,649,649,501,800,472,800,800,501,502,800,500,501,800,500,437,503,501,282,502,800,502,994,501,282,649,649,500,502,800,807,500,501,503,783,500,649,76,503,500,649,282,500,649,912,501,649,503,502,282,649,502,503,502,501,502,16,800,800,649,410,924,282,503,649,501,500,282,503,649,501,503,501,800,503,543,216,500,800,503,649,500,503,503,800,540,800,502,282,649,800,919,271,649,800,503,502,501,503,501,649,500,501,800,73,502,501,502,800,133,649,59,916,502,500,800,800,501,502,501,502,800,649,713,107,649,501,649,282,502,502,800,800,988,649,504,649,503,503,800,503,282,501,649,500,503,649,503,576,555,649,501,502,503,503,835,500,189,500,500,800,596,502,500,500,240,500,503,504,502,505,800,504,649,502,649,623,502,800,503,503,501,500,503,800,500,502,649,503,398,649,399,649,503,570,649,501,503,501,649,503,800,16,500,500,501,649,501,501,500,501,500,500,503,502,800,52,649,500,282,503,780,107,800,500,503,503,503,428,649,94,501,282,501,500,501,289,649,136,501,800,282,282,500,649,500,503,501,103,502,800,800,500,800,165,502,503,502,373,800,649,800,649,100,502,500,500,500,502,503,649,502,503,800,649,649,502,649,798,95,502,500,501,649,649,501,500,852,930,502,500,503,502,649,800,502,501,500,800,503,502,312,800,649,503,503,501,800,500,500,800,800,502,282,503,103,649,800,503,503,503,500,501,282,501,501,501,501,800,649,503,786,502,282,501,649,503,500,738,983,800,500,282,500,649,649,503,282,282,282,502,503,282,500,502,179,502,500,935,501,610,800,503,683,503,649,649,120,503,504,649,800,649,502,649,301,500,500,501,64,502,187,800,501,658,649,501,282,800,501,101,879,500,500,500,501,502,800,282,504,871,549,800,361,437,800,503,503,500,503,649,1,800,502,502,577,800,502,705,282,800,502,800,501,800,746,800,800,501,282,800,16,150,455,282,500,501,282,800,800,501,800,649,649,748,51,501,649,13,689,503,800,501,800,502,800,500,16,649,500,502,503,800,649,501,800,79,500,502,503,500,503,800,649,502,16,282,504,800,501,282,800,501,649,800,503,649,502,804,350,501,16,107,649,502,649,800,502,501,649,929,501,503,502,649,502,800,502,400,171,502,800,282,502,501,503,500,500,503,282,800,282,503,800,503,800,800,111,649,16,503,503,502,502,262,501,35,430,501,800,501,800,614,649,503,800,800,800,279,501,504,282,282,282,501,589,501,502,649,649,502,502,504,107,16,649,649,16,856,502,282,500,500,16,187,16,649,502,502,503,745,800,502,503,503,500,649,649,282,800,800,800,501,500,649,141,649,649,282,800,503,500,282,649,500,800,501,800,351,502,501,649,800,503,501,501,503,500,16,501,40,503,16,23,500,500,649,502,649,501,833,584,501,500,800,800,501,503,501,502,501,500,501,686,649,501,503,800,800,486,500,649,501,800,501,656,800,503,502,501,649,500,501,282,282,500,503,502,800,649,649,800,649,649,107,501,501,503,500,500,282,500,501,282,503,503,501,503,501,649,282,800,503,503,500,503,500,649,649,16,504,502,751,500,16,800,800,465,500,968,504,502,282,503,800,503,503,502,500,649,649,501,649,502,282,502,800,800,501,649,502,800,73,649,500,502,107,62,800,503,461,500,392,503,500,500,501,502,16,800,282,800,282,800,502,282,800,395,501,649,282,282,503,649,800,282,800,503,649,800,504,649,500,649,800,148,502,16,282,500,503,800,282,502,282,103,649,503,500,649,501,501,500,649,649,501,649,230,668,282,503,800,501,16,502,502,726,952,800,504,282,282,502,502,502,503,502,535,547,16,282,502,649,502,503,800,503,649,140,502,17,527,502,500,502,242,649,800,500,501,501,800,800,709,649,503,649,501,649,800,501,500,282,500,328,800,500,501,282,503,649,503,800,502,649,649,717,500,976,501,501,500,503,502,800,501,649,282,282,800,800,16,401,282,800,800,282,282,502,502,649,649,670,500,504,800,501,501,502,503,501,500,869,501,502,800,500,282,800,237,649,500,554,649,503,83,800,960,500,500,502,503,471,92,649,800,500,503,501,503,16,500,503,501,500,502,502,370,503,227,440,502,503,649,282,501,345,500,500,502,313,649,282,501,800,800,459,500,501,282,503,500,501,282,800,16,501,501,503,501,800,991,502,282,501,503,800,500,16,500,503,500,800,800,800,501,503,500,501,500,503,501,649,504,501,16,800,500,503,500,500,282,483,800,503,500,649,800,503,503,649,503,649,500,282,501,502,282,800,300,649,501,636,500,282,503,649,500,439,503,501,502,501,649,500,282,638,502,649,143,800,500,503,800,800,16,282,503,500,800,501,439,503,500,500,503,504,808,501,501,500,649,501,502,504,502,16,178,503,282,134,501,503,800,500,548,501,500,874,503,649,500,282,502,500,501,501,502,282,800,800,504,500,500,503,502,649,500,503,16,16,501,500,503,800,649,806,649,649,502,649,800,800,278,501,501,899,649,503,502,649,282,502,649,282,78,166,500,502,800,800,500,503,408,502,500,103,800,649,500,503,500,800,501,282,577,500,502,649,16,501,649,16,500,688,712,649,500,503,800,503,16,800,458,500,282,503,500,503,788,16,500,500,989,501,500,501,107,800,59,501,649,649,800,282,649,501,649,649,503,938,16,649,500,800,649,387,16,503,212,649,577,282,503,501,649,649,800,501,800,502,976,500,503,679,501,742,502,65,500,500,93,705,649,503,501,959,282,107,649,649,649,649,501,649,649,501,488,800,500,996,282,800,444,502,649,188,800,494,501,501,909,500,820,503,502,322,649,800,502,800,975,500,649,503,502,282,605,502,502,282,501,502,501,500,800,800,500,16,800,503,649,282,913,500,282,502,502,800,501,649,481,502,956,502,800,649,981,282,381,282,649,503,502,500,107,282,502,649,282,500,107,501,500,282,800,649,502,502,649,649,282,500,501,482,500,503,282,500,800,800,501,502,500,500,282,500,503,502,503,800,501,501,649,501,260,649,816,502,800,502,500,503,649,807,649,502,502,503,502,913,503,332,502,559,282,503,501,501,501,649,501,282,502,800,800,500,501,503,800,500,200,503,569,502,500,800,501,800,502,590,800,649,501,501,649,800,649,800,649,500,649,502,16,501,649,800,503,142,500,16,993,680,649,16,503,800,501,500,533,503,500,282,309,500,649,800,500,649,282,649,800,501,649,502,500,502,503,500,800,649,503,502,16,501,500,800,502,649,16,462,502,502,500,630,501,503,502,502,800,502,502,148,813,649,503,727,503,500,504,649,16,503,503,649,649,503,800,500,502,12,500,502,800,503,502,501,502,501,503,282,501,107,503,502,149,936,869,688,103,502,696,676,501,649,282,461,502,502,649,503,800,503,502,800,513,800,649,289,502,501,500,16,16,649,500,501,502,501,502,500,501,502,500,620,800,501,649,501,800,649,482,503,16,502,282,501,282,649,503,549,503,662,503,649,107,800,800,502,273,501,649,649,500,649,502,501,800,649,16,502,445,500,705,800,502,500,649,107,51,800,800,502,16,502,501,500,500,282,282,16,503,501,590,500,501,533,500,649,500,502,16,589,649,501,174,503,503,282,501,503,500,649,502,649,502,503,501,502,502,800,501,16,918,282,500,649,254,708,800,503,336,649,503,501,50,501,502,800,800,649,649,800,490,500,800,500,502,500,649,503,503,582,649,649,23,502,503,858,282,282,501,282,500,501,503,503,503,800,800,800,649,107,804,501,800,502,500,500,649,502,501,501,800,800,649,282,676,800,800,500,503,500,501,500,500,201,649,800,503,800,649,436,282,504,282,502,649,503,649,501,503,800,500,800,503,649,800,28,502,800,649,837,649,503,947,500,501,500,515,800,500,649,111,649,503,649,500,503,805,16,500,800,501,503,282,103,500,107,800,282,503,649,282,132,780,500,500,649,282,649,315,502,649,149,501,282,503,501,503,502,501,800,503,503,800,800,503,800,800,649,649,501,503,502,649,985,649,800,50,503,500,503,503,693,502,500,244,500,503,503,11,649,909,503,504,500,800,504,108,800,800,502,800,16,501,649,800,501,649,501,500,282,282,800,649,107,800,503,501,800,649,502,800,500,500,806,763,705,500,503,649,501,800,503,502,800,649,800,503,649,503,800,504,502,502,502,649,928,282,503,502,502,502,649,500,474,503,402,42,282,503,501,800,501,501,649,800,500,501,649,502,500,501,502,503,501,503,500,502,16,501,800,997,649,500,649,502,503,503,503,502,502,800,376,800,500,649,649,800,502,649,282,500,501,282,500,501,800,457,502,649,501,501,503,502,62,684,800,502,501,800,503,503,502,914,705,81,16,502,502,16,282,649,501,503,282,500,503,800,504,500,649,282,800,800,800,501,904,503,800,500,649,800,500,125,649,358,649,502,800,502,503,800,649,501,503,251,502,563,504,463,500,800,65,500,800,342,800,103,800,503,16,25,800,145,506,503,503,282,500,96,649,500,500,500,503,503,501,649,159,500,502,282,800,502,649,649,500,176,500,800,282,503,649,503,502,671,956,503,800,800,800,502,800,649,282,16,649,502,200,500,316,500,513,500,503,502,13,502,502,503,800,649,500,493,282,502,503,503,800,800,502,649,800,649,500,500,800,501,800,800,502,800,503,501,800,995,649,649,503,800,16,501,649,500,649,502,500,501,282,500,502,107,502,500,665,500,504,500,502,800,502,500,503,500,503,282,503,649,503,502,649,502,649,800,502,282,649,282,532,722,705,501,282,500,503,759,431,16,500,800,500,395,643,282,952,501,282,107,282,502,649,503,800,503,853,16,807,649,649,129,800,500,502,800,649,800,502,500,800,630,503,800,800,502,539,501,649,282,18,800,500,800,16,282,282,832,649,502,502,503,649,503,501,800,282,500,864,282,501,504,282,282,731,501,503,800,159,503,502,649,502,500,503,865,500,107,500,503,503,503,800,501,500,502,501,502,500,800,123,107,282,503,502,502,504,800,502,282,282,500,807,437,342,662,502,501,502,503,109,503,502,800,500,800,48,282,503,56,502,649,500,500,502,501,502,501,649,649,649,503,501,502,800,502,649,503,16,16,282,501,502,282,470,800,502,503,800,6,503,649,282,503,500,649,503,705,649,282,649,501,649,649,800,16,16,831,501,501,800,395,282,501,800,633,282,16,500,800,282,503,649,649,500,500,282,501,282,503,800,648,674,500,501,800,649,625,503,502,503,500,501,503,649,500,649,501,629,502,503,500,408,649,282,500,500,800,649,500,107,800,503,503,840,500,800,502,501,594,501,504,500,229,503,503,900,649,649,387,503,503,103,649,501,501,800,282,502,503,501,282,501,295,504,501,501,503,503,504,100,501,500,282,649,282,800,16,502,282,503,501,502,500,649,800,501,223,86,501,649,440,649,800,501,800,502,649,800,503,282,503,503,502,500,800,502,649,14,649,504,649,649,105,386,649,282,893,800,502,649,500,502,503,503,800,649,501,430,800,995,282,503,502,16,282,503,501,182,946,282,800,649,187,649,800,800,16,800,501,500,503,503,502,503,501,16,649,800,503,649,503,649,501,649,753,16,502,800,649,500,282,800,502,503,500,800,500,500,503,502,649,503,800,502,500,282,649,649,502,501,221,503,800,502,503,800,503,500,502,500,500,282,216,649,649,500,649,500,503,76,649,800,859,502,282,501,107,282,649,500,500,500,501,885,649,800,500,800,501,649,63,503,501,500,503,500,500,500,649,501,501,500,501,503,649,800,800,649,649,502,500,502,282,501,800,800,60,982,501,800,800,504,501,800,558,500,503,502,504,500,389,649,501,649,800,504,501,503,502,376,649,649,500,500,503,500,408,503,502,800,502,501,16,282,504,800,800,501,501,503,501,649,800,501,503,500,649,503,16,500,649,800,16,103,501,501,221,502,800,649,501,649,649,800,570,823,800,649,502,501,500,501,502,332,16,282,800,502,503,16,501,501,500,649,500,501,502,501,649,503,880,500,503,649,282,502,649,800,501,502,800,503,282,502,649,500,480,500,223,501,503,649,800,503,800,649,502,500,800,500,501,800,649,800,503,502,501,649,800,504,800,568,503,649,800,503,800,500,16,615,800,502,107,501,503,632,649,107,500,649,87,457,501,107,503,282,800,500,502,107,503,501,282,800,500,282,501,902,649,649,501,501,502,282,800,503,502,649,103,500,500,503,649,124,282,647,503,502,103,643,503,282,649,800,800,501,502,500,649,800,800,662,501,282,503,502,502,501,16,649,800,501,500,360,800,649,833,800,502,649,282,501,282,503,500,502,503,523,649,501,800,501,624,800,502,847,16,501,800,800,800,228,504,501,649,16,800,500,343,800,501,500,501,853,502,282,282,831,800,16,502,501,649,520,282,500,502,502,501,987,500,502,503,501,503,503,16,974,16,500,649,503,649,502,503,500,282,818,800,502,500,671,800,649,503,501,501,649,649,500,282,282,501,503,800,502,649,649,282,503,855,921,649,502,800,504,504,501,16,500,502,501,53,282,282,502,800,800,502,500,649,504,800,649,835,503,500,503,503,103,800,387,503,800,502,649,949,502,103,503,502,800,800,501,160,282,349,892,800,529,16,501,649,800,503,503,500,16,620,503,800,502,503,501,501,800,501,503,211,807,503,502,800,500,500,807,500,503,504,800,800,282,649,503,502,800,501,548,800,501,503,649,800,800,504,800,502,649,282,501,800,502,16,500,501,649,107,503,800,501,503,649,503,649,800,501,500,800,503,800,791,800,605,648,800,996,649,431,282,502,649,500,502,649,502,503,282,16,800,503,16,282,502,503,282,500,501,501,502,501,649,531,705,502,366,503,649,502,649,500,354,502,501,500,649,16,501,800,502,500,502,503,503,800,500,649,16,225,503,501,501,501,502,282,649,500,502,500,501,524,649,504,502,503,503,502,800,649,500,649,800,464,503,282,800,501,502,503,502,502,800,501,405,649,649,77,502,501,501,649,502,500,500,500,501,501,649,16,800,503,282,649,800,863,500,844,800,500,502,649,501,914,501,649,834,500,503,501,800,500,502,282,500,649,649,825,500,502,649,800,282,502,107,800,500,649,500,502,502,503,503,503,649,649,500,282,649,502,501,501,501,43,940,502,501,649,501,504,800,649,502,814,503,502,800,649,154,649,500,500,626,799,59,297,502,800,649,649,501,622,103,500,800,800,502,640,800,489,503,501,800,16,503,800,282,502,502,503,649,500,282,500,502,500,649,649,347,971,282,800,503,649,501,282,103,502,504,503,649,847,503,500,282,820,503,341,800,501,502,501,649,500,800,746,452,800,649,937,800,807,503,501,800,500,282,503,282,800,649,503,502,649,282,800,800,503,500,503,387,649,501,800,282,500,501,501,800,500,800,503,729,282,649,800,800,649,503,503,500,503,503,502,503,800,738,501,501,800,502,856,800,16,501,800,800,503,503,503,502,800,649,501,649,502,503,26,502,504,649,649,502,282,503,303,502,649,16,649,649,502,500,500,765,649,502,503,500,503,500,500,502,282,881,649,640,649,678,649,500,500,649,500,16,502,649,800,800,500,501,500,282,500,627,649,596,649,500,282,500,649,800,502,282,393,500,436,501,282,103,500,232,800,16,500,503,503,800,500,501,800,621,501,800,800,396,405,649,800,541,502,503,503,502,649,502,503,503,282,282,16,503,649,502,800,800,502,500,16,503,800,800,509,649,503,649,500,501,800,282,649,401,800,592,500,107,503,500,500,649,502,97,502,649,503,582,502,502,800,167,504,504,649,838,500,502,501,502,800,502,318,500,500,800,950,502,800,500,800,503,503,500,800,503,800,800,503,501,502,800,800,503,501,504,282,500,282,649,592,649,800,502,504,800,501,501,139,800,16,500,649,503,502,502,330,502,500,503,800,502,16,649,800,649,500,501,500,503,502,500,800,500,502,501,800,248,502,501,649,649,500,501,503,501,502,501,503,502,282,500,503,649,353,502,501,786,800,800,503,649,649,649,502,501,500,502,500,335,501,502,282,800,501,501,16,502,282,566,502,500,800,503,502,65,500,800,975,503,530,503,282,230,16,500,649,800,282,800,800,501,16,500,502,191,501,503,502,616,503,502,649,649,501,800,503,503,503,500,500,234,502,549,501,16,195,282,504,16,500,500,502,501,649,103,501,500,282,502,282,502,282,501,801,503,501,103,501,501,501,195,500,502,502,649,324,503,503,500,282,501,502,501,500,705,502,501,501,502,503,934,81,649,500,16,500,500,500,16,500,503,500,800,909,501,502,100,500,649,501,500,502,500,800,502,305,500,502,85,502,649,502,503,649,502,776,500,503,503,503,282,800,400,502,649,501,503,502,502,649,502,800,649,107,649,500,500,800,501,800,649,585,282,184,649,249,800,649,803,649,178,649,282,800,503,504,503,503,501,800,503,107,800,500,16,762,500,502,500,289,501,443,649,503,503,501,384,503,503,641,282,500,502,503,800,501,501,532,500,282,860,501,649,502,502,800,649,502,800,503,502,282,502,501,800,503,649,503,649,110,503,501,612,503,649,502,501,800,500,503,503,501,501,482,501,570,800,616,282,501,501,501,502,245,322,649,242,500,649,649,649,322,503,282,180,282,501,800,128,502,462,502,800,800,649,800,649,299,649,649,501,503,152,503,800,501,800,649,800,501,502,501,502,503,502,649,503,502,800,649,649,649,775,501,501,503,502,649,502,19,501,500,500,502,800,800,418,500,282,500,502,800,44,282,501,800,501,649,500,501,800,6,649,194,503,282,649,800,649,500,502,800,501,502,503,282,16,282,503,502,16,500,504,106,782,649,501,800,583,649,282,800,649,709,649,800,500,501,500,503,696,974,502,649,500,199,800,500,225,649,649,502,16,502,502,502,500,594,502,968,589,649,500,800,500,325,501,502,693,16,800,500,649,282,502,502,336,500,501,800,501,503,503,503,941,649,502,800,502,16,500,71,16,501,503,501,504,282,500,649,800,504,500,649,502,649,282,503,800,726,500,503,924,800,502,562,500,500,501,504,501,503,649,649,649,500,502,501,800,800,800,501,649,800,341,649,502,107,282,989,502,501,649,500,502,800,649,503,649,413,502,748,649,16,800,501,91,800,502,107,501,503,345,501,649,501,503,800,503,501,649,502,500,502,752,427,502,809,503,502,282,501,501,282,800,502,938,504,503,736,501,800,503,223,649,282,800,501,639,282,502,502,502,502,502,974,504,502,501,407,503,500,502,649,501,502,800,800,163,800,649,500,503,503,502,503,430,282,800,501,501,502,503,500,800,282,800,501,800,500,500,501,500,501,502,503,282,501,501,501,502,634,800,500,504,501,501,828,501,502,500,954,500,500,502,500,282,503,800,502,504,500,518,649,503,808,502,800,649,502,800,503,800,956,503,670,269,800,500,649,800,502,503,649,282,504,503,502,800,274,649,973,800,794,800,478,500,500,501,502,649,495,649,159,502,503,500,501,282,282,502,282,501,800,503,501,500,503,501,649,800,282,800,16,502,502,282,649,282,649,530,503,649,500,800,500,501,49,649,502,502,666,501,16,282,501,649,649,501,503,503,649,649,282,501,649,705,500,500,501,800,798,500,800,649,800,578,500,500,500,504,500,501,282,800,282,800,807,649,501,504,503,321,282,502,800,282,800,148,503,501,503,649,502,282,800,560,800,705,134,503,503,649,502,501,502,500,500,800,800,743,501,16,800,501,502,501,502,16,282,869,501,501,649,282,503,800,282,85,800,500,503,500,503,502,282,502,558,503,501,500,649,502,16,500,502,503,800,800,502,800,800,502,196,501,503,800,800,649,501,502,503,503,282,502,504,500,649,800,500,500,503,501,649,500,649,500,503,113,503,501,728,501,77,281,649,501,501,16,502,808,282,500,649,503,502,501,501,649,800,500,707,501,503,649,16,503,282,470,501,502,800,500,503,502,800,282,501,502,500,706,649,500,121,502,246,972,503,500,502,501,282,501,649,800,649,501,503,501,502,501,501,503,503,282,504,103,500,500,502,502,822,767,500,282,800,649,800,649,502,500,282,800,501,267,501,800,649,800,649,500,800,40,707,505,500,649,800,649,282,500,500,397,16,649,500,800,51,503,503,282,800,500,649,800,501,501,501,500,501,503,502,649,500,441,500,240,649,500,500,944,103,282,649,501,282,202,282,282,107,501,978,503,16,502,800,500,500,800,800,380,83,118,282,501,502,800,503,304,800,503,503,500,282,92,800,649,800,503,500,282,800,461,800,502,501,503,800,282,604,500,649,500,800,649,501,649,649,501,649,16,282,500,500,282,500,502,501,503,377,500,501,502,500,282,502,800,502,502,649,503,757,502,500,502,500,503,800,649,501,107,559,111,16,500,649,502,107,501,501,501,500,800,649,649,501,800,649,500,502,107,800,649,649,504,500,502,501,501,241,16,502,649,501,44,503,649,649,503,282,742,16,282,503,503,649,357,503,108,502,501,500,504,649,649,503,502,107,501,501,503,16,16,501,272,16,502,503,501,649,282,583,503,501,501,502,649,800,503,466,800,503,500,800,501,502,502,500,501,649,500,282,503,649,500,959,502,800,502,800,916,500,502,800,500,800,649,800,282,16,282,503,502,103,503,503,502,503,282,649,503,501,500,800,649,649,503,501,800,501,800,502,222,500,500,500,571,800,800,282,800,503,503,800,282,649,502,703,800,468,503,501,501,501,649,502,649,503,649,500,500,954,800,433,649,800,501,502,504,503,501,503,800,649,800,501,800,649,17,310,503,501,501,800,606,282,501,800,500,503,500,368,574,800,500,502,501,292,266,800,282,501,500,501,500,503,282,16,800,282,687,502,501,649,356,896,503,649,501,502,800,500,502,502,800,556,493,174,500,629,249,649,502,800,800,502,501,649,501,282,732,800,500,107,800,503,502,388,503,282,502,282,800,502,503,646,502,282,282,504,502,502,502,155,503,107,503,502,282,501,500,500,282,503,502,649,501,502,502,503,16,800,282,410,502,16,649,223,503,649,502,492,501,800,282,800,800,503,649,504,192,502,635,800,800,502,282,649,500,16,503,800,502,817,282,502,503,504,649,502,501,557,500,649,800,500,470,503,502,1000,502,500,501,925,800,500,22,503,504,649,503,649,501,385,622,282,253,649,800,503,500,107,105,503,649,503,282,800,800,500,503,464,284,282,649,661,800,500,502,502,800,503,502,500,502,501,442,649,967,504,16,500,800,649,503,501,800,501,501,649,282,501,502,800,502,100,501,504,55,282,502,545,503,649,501,72,282,265,500,800,649,500,16,501,502,502,649,649,937,500,503,16,501,503,800,502,16,503,649,503,502,544,155,231,492,649,529,503,501,501,649,500,8,16,500,800,503,282,282,800,501,501,502,500,501,649,501,488,503,800,502,813,800,609,501,501,503,800,500,800,800,800,502,800,282,649,503,504,649,501,16,297,500,649,282,502,502,800,194,16,800,500,282,463,649,800,800,500,500,360,502,649,800,500,649,800,501,16,500,502,503,107,503,282,502,649,503,500,500,800,503,796,503,800,503,500,875,649,500,48,426,501,803,532,502,16,503,503,503,503,800,282,501,500,501,518,800,502,311,502,500,649,500,649,800,142,649,282,503,800,649,282,649,800,502,800,501,502,841,859,500,501,282,827,502,649,501,500,649,107,353,800,501,800,501,504,502,502,504,800,500,502,621,502,513,500,800,800,800,800,501,504,503,190,800,192,800,502,667,503,504,501,170,501,649,500,649,800,800,800,503,503,649,800,701,501,503,501,500,501,502,800,501,649,800,503,502,800,504,501,800,800,800,802,649,503,922,282,501,649,476,503,459,549,502,501,282,649,503,282,800,567,502,107,649,276,335,503,503,501,500,500,649,500,649,501,503,503,503,282,503,500,800,500,800,500,501,800,649,649,591,649,500,502,500,800,502,649,501,649,500,339,500,501,502,503,502,649,502,500,649,16,649,502,501,502,649,649,800,970,500,503,500,500,838,649,500,800,500,500,503,800,501,649,501,500,470,800,103,500,502,649,178,500,282,503,800,501,500,467,906,649,504,501,441,503,500,503,501,649,800,282,501,501,326,282,27,500,652,367,282,503,503,800,502,649,501,501,500,482,649,500,501,472,502,500,501,282,502,500,800,503,282,649,800,282,500,500,502,500,503,290,501,503,503,503,16,649,503,501,800,500,800,501,502,649,501,501,885,768,16,501,503,649,800,502,649,800,502,800,503,800,500,282,500,800,16,501,800,502,16,649,42,503,649,503,582,500,501,501,502,664,649,800,105,649,503,502,649,180,649,649,502,649,282,502,649,500,649,800,500,282,503,800,503,80,58,502,503,501,649,649,649,504,502,103,503,800,502,16,215,501,800,503,282,503,503,282,89,800,501,503,501,800,502,800,500,649,502,800,282,502,649,500,282,800,500,206,502,84,649,800,800,501,500,501,649,383,282,500,800,649,504,775,503,649,503,502,503,850,501,503,809,501,501,500,501,501,503,503,501,649,503,502,649,500,462,800,800,501,649,800,458,800,502,501,501,282,649,502,501,503,502,649,841,502,502,501,282,503,503,649,500,649,501,500,800,503,605,502,16,503,502,832,502,502,649,501,800,500,503,500,800,800,500,649,103,503,500,800,486,502,501,800,16,649,800,500,501,757,800,800,502,501,282,503,649,649,500,501,800,503,649,500,107,503,800,800,761,649,714,500,503,503,503,501,501,16,500,502,503,16,649,501,500,282,502,16,649,16,503,649,500,501,800,212,503,172,500,264,745,500,503,649,637,649,800,503,502,800,105,501,500,649,503,993,503,107,649,282,501,501,503,16,282,800,282,282,503,501,502,16,282,503,501,503,500,282,868,649,649,967,502,502,807,503,502,282,282,501,501,502,282,649,803,501,504,800,800,503,572,282,501,203,649,800,502,501,649,502,800,765,800,282,277,800,500,800,800,800,649,500,800,503,800,103,429,503,16,501,503,800,502,501,502,500,501,477,800,502,16,800,502,184,500,500,501,539,282,501,649,500,800,500,503,502,800,502,502,787,282,649,509,501,672,649,649,501,282,800,16,655,282,649,800,800,649,800,717,649,649,503,800,800,503,649,501,500,503,501,501,649,107,500,501,800,282,500,800,649,503,258,503,500,502,282,500,800,330,502,501,800,430,501,800,282,107,502,649,502,503,705,500,501,501,649,474,500,502,16,501,502,800,500,649,503,500,355,501,502,800,503,501,501,800,16,264,107,649,800,702,502,500,501,500,800,500,503,503,503,800,800,503,500,649,502,16,503,282,500,500,502,500,502,282,682,500,501,649,500,800,649,501,106,649,502,809,502,503,649,503,649,503,503,800,50,502,234,503,800,500,501,502,501,16,800,500,500,503,501,500,282,800,503,282,502,501,800,103,649,282,500,851,649,544,502,504,502,282,800,726,501,502,649,748,649,282,503,502,649,501,800,16,16,502,502,800,598,52,500,503,282,82,500,500,501,503,559,503,800,502,649,360,800,800,500,649,500,800,800,500,900,503,503,501,2,649,800,458,502,649,649,649,500,450,286,264,504,500,282,800,282,800,502,501,800,282,501,693,649,649,282,500,179,16,282,800,103,649,501,501,649,282,501,503,576,649,502,501,107,649,502,800,649,800,16,502,800,501,503,800,502,649,662,103,649,649,923,800,16,103,500,136,502,800,800,503,501,800,503,649,502,800,649,501,501,649,501,500,500,282,800,501,393,502,501,501,99,800,376,649,500,649,136,800,501,100,107,800,501,500,800,500,501,503,59,501,504,503,500,504,502,501,500,649,362,503,282,500,501,500,500,511,649,800,254,503,649,501,725,282,343,586,649,501,500,503,282,503,649,502,501,501,282,501,500,501,800,103,649,502,503,282,282,800,282,502,360,282,502,282,500,800,500,800,502,501,500,930,501,282,579,503,800,502,500,500,501,800,16,500,720,502,502,282,500,504,205,800,504,282,649,282,800,649,501,537,500,800,501,103,538,14,107,649,501,913,501,649,800,502,500,649,503,503,503,923,806,375,649,54,816,500,501,503,502,649,501,503,500,500,502,500,503,282,503,502,501,503,503,649,502,16,501,800,501,501,282,863,503,504,282,502,503,919,502,500,649,502,8,800,540,500,800,411,282,282,205,282,16,16,649,800,564,500,800,502,649,502,503,357,501,502,501,107,502,500,501,500,649,502,502,500,503,502,800,282,107,800,419,1000,145,502,800,649,500,500,501,282,503,649,800,503,500,800,502,503,107,502,649,501,500,288,500,503,107,500,649,503,502,502,800,502,949,800,649,800,800,852,500,501,500,800,502,126,501,503,503,800,500,649,533,502,800,503,503,502,502,282,800,800,439,519,501,502,501,688,229,502,501,501,501,500,800,503,502,800,282,503,501,800,500,502,500,501,156,649,500,500,501,502,501,649,800,503,500,800,503,502,501,502,501,500,500,127,501,649,800,179,649,649,279,503,282,800,503,282,282,501,100,308,502,800,649,39,502,501,202,502,500,16,500,500,503,503,502,649,502,503,282,903,502,282,282,16,502,502,500,502,800,649,800,503,504,453,107,800,500,649,800,649,503,503,501,16,502,800,649,800,800,649,500,502,501,800,649,503,502,865,503,649,501,649,649,649,649,800,501,800,500,500,503,501,500,464,502,501,502,465,503,502,107,800,16,500,503,282,503,501,502,788,103,502,503,800,501,107,503,649,502,500,97,470,282,800,501,282,501,503,800,501,16,502,92,16,502,649,500,503,503,502,503,738,282,649,500,501,800,503,16,649,649,800,649,282,322,16,800,503,500,649,800,649,800,541,649,502,502,226,503,503,502,649,502,502,500,503,282,502,649,503,705,501,500,503,501,500,500,504,503,800,500,649,502,541,502,800,365,501,800,649,282,503,501,282,503,500,502,500,502,800,500,800,501,649,503,16,800,500,649,502,502,502,949,539,504,500,800,800,800,649,501,500,500,649,282,649,612,504,16,373,800,800,649,649,955,500,502,649,502,503,800,500,501,800,500,500,500,16,649,800,16,501,282,501,504,127,501,503,912,800,500,649,282,282,501,503,282,500,282,500,500,282,500,649,504,649,501,501,800,500,649,501,60,343,497,502,800,800,800,16,282,502,502,800,502,282,500,800,649,503,501,947,800,282,282,501,503,502,501,282,502,649,800,800,501,500,800,800,502,286,500,501,282,800,502,502,502,800,502,800,503,500,501,503,282,4,501,502,800,649,503,502,800,649,649,503,649,225,282,501,649,282,503,502,800,649,501,349,502,503,16,282,501,503,504,502,502,503,504,649,649,501,503,500,500,502,255,12,107,503,16,196,503,503,430,800,16,503,500,649,589,504,500,800,16,503,649,959,139,649,501,503,501,500,649,503,649,501,557,649,500,800,502,217,800,16,500,500,500,502,503,503,503,649,501,800,504,502,502,503,501,16,504,649,800,502,501,500,807,503,800,800,504,800,502,649,373,501,16,649,282,502,501,503,282,501,500,502,282,282,638,500,500,500,500,500,501,503,649,503,649,812,800,504,282,502,502,282,502,649,800,649,504,649,503,501,16,800,649,501,649,649,649,502,500,16,501,649,800,800,500,500,800,800,800,503,649,488,800,501,407,500,649,16,500,141,502,282,649,500,500,501,649,500,502,727,649,649,501,503,282,500,144,503,500,500,503,649,800,503,282,502,800,501,502,503,501,503,282,503,800,501,503,502,16,502,500,503,503,504,501,537,649,282,649,649,800,282,272,500,649,649,649,500,800,100,502,649,502,501,502,282,503,503,502,649,649,503,503,503,502,502,374,501,500,282,500,503,649,800,502,503,16,16,500,502,501,282,503,867,500,500,374,501,649,56,649,503,503,800,282,816,800,501,500,800,500,282,501,649,16,501,152,339,502,282,282,502,649,500,501,649,299,649,500,800,341,503,503,502,800,282,649,503,500,501,500,502,800,800,649,283,503,648,800,500,500,502,503,500,501,649,502,500,649,502,16,501,500,501,501,502,705,131,649,649,800,649,800,649,649,502,503,500,501,500,501,282,500,295,500,501,649,800,501,503,501,649,502,501,649,800,503,282,649,503,501,503,502,500,282,501,800,503,393,502,316,608,500,503,501,800,502,500,501,16,103,501,800,501,649,500,502,502,649,649,666,501,503,502,503,503,502,500,500,503,234,800,502,649,503,800,649,501,157,501,503,574,501,783,502,502,800,705,952,563,282,500,105,501,501,885,649,502,503,649,503,500,502,502,649,649,487,503,501,501,502,951,379,501,800,649,500,289,500,649,502,500,426,503,16,502,501,502,503,501,282,502,282,501,649,501,503,503,800,800,499,743,16,501,502,500,254,282,500,500,800,649,833,501,503,16,282,649,500,886,503,68,500,503,649,501,828,501,500,501,649,282,503,282,442,882,401,649,649,501,832,500,503,500,503,649,800,492,503,502,503,649,649,503,16,800,503,800,800,502,800,502,228,502,282,800,503,800,16,649,502,533,133,800,501,503,503,500,500,501,300,500,405,282,501,800,503,500,502,649,500,500,500,649,502,500,503,282,864,800,282,501,116,501,282,649,800,705,387,502,503,501,503,800,500,649,800,282,502,500,501,649,800,502,502,500,502,503,500,501,904,799,649,649,502,649,500,503,800,16,735,502,800,800,501,501,282,800,649,282,502,800,504,649,503,800,649,500,800,800,501,649,800,800,504,472,800,503,500,500,553,500,502,800,502,501,501,649,501,502,649,500,282,280,502,500,502,500,503,413,282,500,501,800,503,503,501,500,503,504,800,500,705,282,502,502,502,503,500,800,502,649,500,759,502,282,502,649,501,500,503,503,513,800,16,649,501,649,282,107,503,500,800,800,800,649,649,501,500,503,502,501,800,502,649,649,503,649,500,194,800,649,503,282,708,502,501,804,556,501,782,500,501,501,103,16,500,649,500,10,800,502,500,800,502,649,649,502,800,235,649,649,503,649,503,800,482,503,800,800,501,500,502,501,894,502,502,649,649,503,282,107,500,500,504,500,503,502,500,649,16,502,649,800,500,649,800,111,282,504,866,107,502,868,501,501,502,800,500,282,16,800,649,500,502,282,500,503,800,502,604,500,800,662,860,501,502,282,450,800,503,429,649,500,503,282,500,502,500,502,595,800,649,307,649,503,16,282,501,408,800,501,800,502,501,501,500,800,55,142,504,501,800,501,500,649,504,800,502,500,500,800,502,503,800,107,800,192,500,500,649,282,649,282,649,501,321,504,282,503,503,500,502,501,649,934,501,503,469,500,500,577,16,501,800,800,649,501,649,705,282,501,16,750,503,501,314,500,502,503,800,282,503,71,502,282,800,800,500,860,503,649,649,107,800,282,503,502,504,16,649,503,800,649,503,282,417,501,807,800,337,282,503,503,649,500,501,450,282,503,649,800,282,501,209,649,503,503,360,501,502,705,500,500,503,502,501,649,502,502,16,501,16,649,503,800,800,501,282,504,800,503,503,503,500,503,827,500,502,500,500,503,118,649,649,502,748,649,649,800,407,503,282,16,502,501,503,502,649,502,500,16,501,692,800,649,501,392,649,503,649,500,403,282,687,649,282,803,500,503,500,501,649,502,500,501,503,503,800,282,501,805,501,582,500,502,502,502,503,504,500,649,504,800,502,503,800,827,503,501,503,218,800,503,502,282,649,501,649,800,500,502,503,502,503,503,501,501,501,503,503,502,500,501,502,477,16,500,504,501,503,618,282,649,492,103,800,928,800,503,649,626,500,649,501,501,925,649,649,503,800,800,500,500,282,502,800,800,649,502,340,800,800,500,800,501,503,500,502,502,502,501,503,649,516,800,500,502,649,502,500,502,501,500,800,912,504,800,501,514,649,796,546,501,503,503,107,502,504,500,501,500,16,28,107,650,506,501,502,435,554,800,649,649,503,503,800,500,649,800,16,684,282,500,858,649,487,16,501,501,500,16,501,503,857,649,524,840,503,503,512,649,502,500,500,521,714,500,282,800,16,500,502,500,800,500,807,501,132,649,500,649,502,502,503,800,503,502,501,649,649,800,502,500,234,502,84,282,303,695,502,503,502,649,501,501,503,104,649,282,502,502,501,649,800,906,103,800,503,282,502,503,501,852,16,503,501,501,500,503,649,649,800,500,500,500,800,503,282,895,502,501,502,500,502,500,503,501,502,500,607,502,502,800,282,16,502,501,649,500,232,502,269,500,800,16,649,501,986,800,501,501,46,502,16,282,502,649,503,649,800,800,501,500,503,800,502,649,800,501,500,500,762,503,649,800,504,501,500,502,649,500,503,293,502,16,502,800,503,649,500,500,800,800,649,800,502,500,649,501,503,502,500,700,879,502,503,995,800,500,501,501,502,501,800,800,500,847,282,500,800,502,501,282,282,800,502,286,649,502,502,500,522,649,500,282,643,501,800,503,183,500,166,501,372,649,500,500,800,503,16,800,500,502,501,501,270,878,501,501,282,501,503,800,800,502,800,504,649,649,501,502,502,808,649,503,500,500,145,502,503,502,502,201,800,103,503,502,501,112,289,100,504,800,649,500,501,501,501,501,363,501,503,16,503,282,851,872,500,32,502,282,501,649,500,500,500,282,649,502,504,649,501,503,501,504,858,503,502,464,282,535,500,974,502,800,800,800,800,800,649,649,500,501,800,500,503,266,501,501,502,501,765,107,503,493,501,27,103,502,504,16,649,800,501,705,502,800,503,500,503,500,649,649,649,504,282,503,501,500,800,503,503,282,504,300,503,502,800,800,500,800,500,800,502,219,16,500,503,502,501,501,502,282,282,501,800,502,500,501,346,649,501,649,290,649,501,103,500,501,500,800,500,502,500,458,502,649,649,693,502,501,800,501,502,282,503,503,500,800,16,6,282,800,282,800,649,502,503,501,501,501,500,800,100,282,503,583,466,800,502,504,649,501,282,501,500,649,503,501,501,500,502,282,649,500,282,132,800,500,501,500,503,398,501,502,501,16,649,536,800,502,504,503,503,800,16,800,282,283,503,649,501,282,107,501,649,501,649,500,503,107,800,649,504,832,502,500,501,649,502,649,503,501,503,503,501,500,649,896,800,800,501,500,800,500,800,500,501,501,501,649,357,16,502,502,16,501,502,500,503,502,800,649,502,500,757,584,800,500,503,800,800,800,733,502,282,503,257,649,500,502,501,502,503,500,649,503,502,91,501,948,502,800,16,649,500,410,501,500,649,500,649,107,800,503,502,503,500,500,503,800,649,503,502,383,1000,501,503,526,800,282,649,501,503,649,325,500,649,501,649,800,337,16,502,800,95,649,432,800,501,649,501,290,800,500,800,16,502,500,500,502,502,282,500,534,500,501,745,859,503,649,501,502,500,649,282,502,500,503,282,549,649,800,501,800,501,502,100,282,282,649,502,800,16,500,649,500,500,503,503,282,282,500,282,502,501,282,107,276,285,800,649,800,800,503,800,500,501,649,649,649,500,500,649,500,800,282,800,503,800,503,649,282,649,501,649,800,500,649,500,502,503,705,853,634,800,649,581,504,598,107,282,502,649,649,501,800,353,282,502,500,649,649,501,87,503,800,501,502,502,501,800,800,501,649,649,16,500,500,501,800,501,503,338,502,502,501,500,564,503,16,500,501,502,649,503,501,500,282,502,503,502,800,502,500,501,502,282,649,800,282,752,800,502,537,649,500,503,649,503,502,503,500,500,248,502,649,282,503,501,826,649,501,282,503,500,282,800,282,501,800,502,502,503,500,649,649,726,213,503,282,800,800,503,500,800,800,500,504,501,501,500,800,282,503,649,500,16,503,649,282,503,800,800,336,500,500,502,800,500,500,800,501,282,467,501,224,649,502,800,504,800,503,800,501,800,501,502,501,800,502,649,501,501,503,502,500,800,16,500,503,500,785,245,649,503,705,800,649,503,500,500,649,503,800,649,107,649,501,500,800,282,282,282,382,500,502,501,502,501,500,503,501,343,503,800,282,649,800,800,501,107,500,649,649,800,649,502,500,502,500,501,500,502,503,16,501,510,501,282,503,282,649,649,649,282,649,800,504,502,159,503,501,698,649,500,307,470,649,503,282,500,501,800,503,501,500,503,502,328,500,502,649,501,500,85,649,800,501,503,500,503,503,501,501,500,501,500,341,741,649,500,502,500,800,503,282,502,503,800,16,649,103,800,572,282,626,500,501,501,503,503,502,800,800,415,649,856,502,501,502,386,103,16,649,503,501,457,503,500,649,800,282,649,502,501,500,100,282,500,503,502,800,500,501,503,649,800,500,503,501,502,501,501,649,649,649,501,282,503,503,783,800,500,503,502,503,500,502,501,649,800,800,503,800,502,282,502,501,351,501,800,419,800,649,10,649,649,503,503,839,501,649,502,649,451,997,980,502,503,618,800,501,411,800,282,800,800,282,503,500,503,800,501,503,503,178,282,503,63,649,502,800,649,500,669,502,548,816,107,500,500,649,500,502,800,501,502,16,690,501,800,282,314,282,503,500,503,800,715,649,649,501,500,504,800,837,500,502,200,504,501,502,500,502,500,701,501,800,103,501,800,800,721,908,500,500,502,649,503,800,800,800,800,649,502,500,502,502,800,649,649,649,649,282,504,16,407,503,500,504,501,800,503,800,501,879,649,649,282,500,800,501,649,800,500,501,501,800,800,501,800,503,649,800,649,500,282,501,500,899,503,500,800,503,500,800,649,16,103,800,502,503,649,96,800,502,103,16,502,500,30,721,800,500,500,503,800,649,282,649,525,504,503,412,502,502,649,909,800,800,501,500,912,501,501,800,503,500,649,794,684,502,649,800,359,500,500,500,800,800,500,503,800,800,503,800,197,649,503,500,282,800,800,800,282,503,500,649,107,501,286,508,282,187,503,502,649,800,500,500,501,894,470,500,649,800,800,503,649,502,502,500,503,282,503,282,501,270,800,649,503,956,213,503,282,505,282,500,649,800,649,853,800,649,64,502,503,301,502,649,500,502,503,282,502,503,502,501,800,503,211,649,800,502,501,649,503,138,17,503,502,500,503,705,800,16,282,800,500,800,800,107,800,500,425,503,649,55,282,501,501,502,649,282,502,282,649,502,282,502,502,800,502,800,503,649,500,503,282,626,649,502,502,800,107,962,800,649,501,854,503,649,331,503,501,649,500,649,503,501,649,795,502,784,649,800,649,800,807,503,503,107,500,503,503,830,501,503,649,501,501,375,800,504,800,500,649,227,502,500,502,502,503,500,282,145,16,446,500,501,503,649,500,501,500,502,649,503,649,501,282,103,503,503,503,649,501,209,800,501,503,282,500,503,500,501,500,800,502,107,649,800,649,100,800,800,800,502,16,649,502,500,500,800,501,649,800,971,500,502,501,655,503,500,870,502,501,16,503,282,649,503,500,800,502,282,800,800,501,282,503,500,500,503,800,649,504,503,501,503,649,500,502,501,282,504,500,503,503,500,500,501,503,649,896,800,501,500,442,503,282,501,800,716,649,800,502,16,502,500,501,503,503,503,649,800,107,501,500,89,503,500,501,649,107,649,16,649,800,649,503,503,500,884,800,282,500,501,800,501,800,156,800,502,800,502,328,500,503,502,500,800,501,16,502,502,796,800,80,649,282,282,501,85,649,649,649,500,282,502,500,649,866,500,16,501,500,649,503,504,503,649,500,502,649,16,649,500,884,800,800,500,503,502,502,16,980,282,500,782,500,502,649,788,800,502,500,649,800,800,800,795,649,800,503,771,502,500,649,800,800,501,500,605,800,501,127,649,502,502,502,282,419,800,502,502,504,649,649,649,107,649,16,500,800,800,649,501,502,649,503,649,16,800,800,503,500,282,997,502,501,324,502,502,716,800,503,500,501,500,282,917,16,16,503,502,649,282,88,500,800,503,282,800,800,501,800,175,500,502,500,500,649,502,800,502,800,282,649,165,501,13,649,649,91,500,500,500,649,501,501,199,675,503,503,500,501,649,500,500,424,501,282,503,800,500,649,882,120,282,807,502,108,501,649,107,100,649,458,503,500,501,800,282,649,572,501,282,500,305,800,649,503,502,503,16,16,853,649,500,503,500,500,500,502,503,501,504,501,502,500,501,649,502,649,649,500,16,16,502,282,583,502,500,501,282,649,741,282,500,16,500,500,503,649,800,800,212,500,500,282,503,649,502,504,502,500,649,649,501,502,649,500,181,282,649,185,502,16,502,649,501,647,856,649,500,500,649,800,800,503,504,282,16,649,649,282,503,420,501,800,149,800,800,502,649,500,500,501,500,500,503,502,800,800,649,502,500,282,800,162,800,282,800,800,800,500,146,256,500,864,501,500,622,501,501,649,502,282,502,800,800,501,649,800,502,502,503,502,502,252,502,503,502,649,501,500,503,502,649,503,800,282,503,501,103,107,500,500,800,649,649,303,500,503,282,503,800,800,500,800,800,501,503,844,500,500,503,500,627,503,380,500,447,500,504,282,501,500,800,800,800,649,649,502,282,5,16,500,649,16,501,999,282,503,503,500,503,282,649,16,800,800,649,503,282,503,502,503,501,500,501,502,503,800,500,502,502,503,501,141,503,500,800,800,503,501,502,503,582,503,503,649,502,502,465,16,419,501,282,649,502,502,500,504,101,323,649,503,800,457,502,282,501,22,800,16,500,649,502,500,500,500,502,332,502,500,800,282,500,16,502,502,649,500,500,500,282,500,734,501,31,282,800,501,107,800,800,632,503,503,649,649,503,503,501,649,500,502,649,500,500,501,500,635,500,502,800,500,649,800,501,501,282,501,503,282,800,502,965,282,500,728,649,501,501,951,649,800,502,649,443,500,800,800,503,502,501,503,501,282,501,800,502,501,500,502,800,649,107,103,240,502,501,649,107,649,503,800,500,114,300,500,649,118,501,373,815,649,800,649,85,501,16,500,649,649,503,565,800,719,800,800,503,86,649,501,800,502,503,501,649,800,649,500,502,500,800,800,503,501,501,502,501,649,800,499,800,649,282,502,500,503,501,649,502,503,502,927,503,800,500,500,800,502,504,20,502,501,800,649,649,503,800,503,501,500,800,637,103,502,712,501,282,800,500,500,502,500,500,800,16,940,503,503,503,500,282,503,649,649,649,773,16,501,501,867,500,501,800,504,649,16,649,501,649,800,500,451,800,501,502,501,649,800,502,437,503,503,501,503,502,501,649,16,649,503,649,800,502,16,504,697,513,503,649,502,502,800,500,649,458,657,433,649,649,502,503,503,800,282,800,502,500,947,107,501,502,503,501,500,800,800,500,649,502,708,800,501,503,500,500,649,649,503,502,800,503,800,501,502,53,282,282,503,501,502,800,503,503,649,504,500,800,16,800,800,501,649,503,649,500,639,649,800,500,503,649,504,800,503,503,502,800,800,500,502,282,501,504,705,800,500,501,107,502,502,282,103,502,778,16,503,503,282,503,502,502,542,500,502,556,16,649,502,800,280,500,800,503,649,800,800,649,649,649,16,502,282,502,500,282,502,500,16,227,16,500,800,649,800,501,501,59,503,503,501,503,16,502,502,649,649,649,501,16,504,16,214,16,800,282,503,649,500,502,501,500,503,502,502,800,503,512,649,500,649,649,649,800,16,800,649,800,501,407,502,503,282,500,800,502,501,503,644,501,660,282,500,503,262,501,501,282,502,649,503,504,503,800,508,501,16,282,800,503,500,107,649,503,501,649,16,107,500,282,107,800,502,503,500,500,649,503,649,502,502,503,503,500,324,800,503,800,98,995,500,503,500,500,500,554,503,500,171,649,501,500,503,502,503,533,800,649,839,501,649,649,800,649,800,800,800,500,649,282,418,500,502,107,800,501,517,800,502,103,503,503,504,649,800,500,503,646,503,500,503,501,649,500,503,503,502,649,500,649,800,282,79,649,501,503,649,649,500,107,649,282,500,649,800,649,503,766,500,800,502,503,800,68,46,502,171,743,500,705,501,952,503,501,501,282,500,502,282,282,503,503,501,649,502,800,501,244,103,420,649,503,501,503,800,282,501,800,649,649,501,500,502,814,16,800,928,282,649,500,502,502,971,649,16,921,503,800,502,282,502,282,215,500,502,282,500,800,282,502,588,649,503,16,649,649,500,649,282,282,504,800,973,800,649,502,649,503,800,462,649,282,800,800,90,800,500,501,800,711,503,501,649,16,500,500,500,282,502,501,649,800,800,503,649,800,502,16,500,800,800,500,649,514,282,800,282,503,501,800,503,501,501,502,500,800,502,500,502,649,113,985,500,800,503,713,502,501,124,800,800,18,282,649,501,617,503,503,501,800,503,649,501,363,800,239,503,800,501,800,500,504,649,800,501,501,504,503,501,502,831,166,153,649,501,800,415,500,649,500,501,248,503,800,503,282,800,501,503,282,649,649,500,282,649,16,500,502,501,502,649,503,500,500,800,503,800,502,234,282,501,501,649,649,800,502,292,649,500,282,800,465,500,502,502,633,16,502,334,649,503,800,501,16,649,500,500,500,492,501,503,503,500,109,800,501,501,501,502,649,503,282,500,502,800,417,503,502,800,16,502,503,800,800,107,501,649,503,503,501,502,882,502,501,450,500,649,500,800,834,16,502,540,800,282,503,800,501,458,503,503,501,649,503,500,282,500,107,282,503,503,502,103,693,649,929,502,500,501,800,503,501,16,800,800,649,207,649,500,489,208,502,502,653,649,501,97,107,649,282,504,911,16,800,500,502,501,649,502,282,501,502,500,503,502,502,649,282,502,199,500,502,8,649,501,16,800,501,649,800,282,500,500,800,503,502,502,502,207,614,867,649,502,503,503,503,559,501,501,649,282,649,503,502,387,649,501,649,800,494,384,501,807,501,503,500,500,501,500,501,500,503,501,500,282,503,501,649,502,800,649,800,501,502,502,502,334,649,218,649,502,16,500,503,501,705,282,502,800,649,521,500,16,649,892,500,501,500,500,393,800,501,840,503,282,501,411,501,501,503,233,282,680,800,503,649,800,613,649,800,649,503,649,664,16,503,962,501,649,502,341,649,502,828,16,649,800,69,503,800,649,16,503,800,649,502,501,502,502,501,800,502,503,501,502,502,282,800,820,800,498,500,649,16,502,282,649,501,503,500,503,66,282,649,503,500,557,10,211,800,804,501,500,282,502,282,282,503,500,800,800,800,649,630,800,800,501,502,107,376,502,800,107,888,502,503,503,107,502,500,68,282,500,500,503,649,598,800,682,705,800,504,282,500,649,411,282,282,502,502,47,500,500,502,689,16,501,502,800,800,501,171,282,800,503,800,649,503,649,501,16,800,649,501,800,500,800,260,503,991,15,503,107,501,800,649,502,500,504,500,502,598,800,503,649,97,649,503,503,800,501,649,649,503,649,503,500,800,501,503,500,800,502,707,800,502,282,501,800,649,305,502,649,503,705,800,504,762,500,800,500,503,502,649,501,502,503,501,501,712,502,503,502,503,503,503,807,511,107,503,31,649,282,500,367,502,503,501,503,503,503,500,16,500,503,649,503,282,503,503,614,16,282,16,500,800,282,282,500,501,800,500,800,287,649,649,282,800,649,503,503,502,649,501,502,282,502,190,649,282,502,800,649,649,502,500,974,282,16,503,504,503,502,503,501,16,503,266,501,476,800,501,800,502,501,503,503,23,16,502,501,501,504,503,800,504,649,800,502,207,200,503,800,502,649,649,282,501,703,501,502,16,649,800,103,705,282,100,165,649,501,800,927,800,649,282,282,503,503,501,504,282,502,282,807,503,501,800,282,500,502,800,908,503,500,827,518,501,650,649,500,649,502,800,500,800,800,800,500,335,500,16,800,503,500,649,800,649,800,501,654,503,501,800,649,649,501,502,282,16,504,500,649,502,500,504,501,503,503,500,967,282,503,501,282,503,503,286,502,502,503,501,282,649,800,282,500,501,649,500,965,500,483,501,194,649,503,213,800,800,16,500,800,649,523,16,873,503,502,503,649,502,800,502,800,800,503,501,800,649,939,501,107,503,500,672,503,501,649,800,800,502,502,649,502,501,103,800,800,800,501,563,500,503,800,222,503,649,649,185,282,502,501,502,503,413,800,503,800,282,147,501,800,649,587,577,502,501,649,500,545,800,800,500,502,282,16,502,500,500,500,649,503,503,502,16,502,502,502,501,500,500,662,800,502,800,282,503,503,649,503,500,501,502,500,649,501,501,758,428,501,649,942,16,501,500,500,501,649,807,502,503,500,555,501,503,503,800,502,649,763,502,800,543,502,502,501,649,502,502,649,500,501,282,503,500,501,282,501,649,649,649,282,502,689,503,500,502,800,502,312,501,649,649,502,16,800,800,81,800,16,501,577,501,502,500,500,500,500,501,501,502,649,377,112,800,504,500,503,800,500,282,500,501,800,503,649,16,503,502,282,282,503,919,503,500,282,500,800,800,874,502,16,501,500,800,800,282,800,503,649,501,500,503,649,800,501,750,500,649,282,800,501,282,800,500,16,649,138,649,58,500,282,502,501,800,324,502,502,502,501,502,324,500,500,649,649,282,502,501,649,501,502,16,282,785,503,424,363,800,87,649,501,502,649,502,434,503,649,503,502,500,649,502,500,800,501,501,501,668,800,502,503,800,246,502,503,503,800,800,207,503,500,500,388,16,502,800,800,649,500,649,800,503,282,502,502,500,503,503,501,580,800,503,800,649,500,282,282,287,501,282,501,16,282,504,503,282,500,503,186,503,276,278,337,503,649,490,500,501,501,501,502,800,500,503,502,16,500,800,649,503,500,649,500,503,704,502,501,649,501,502,503,672,800,800,501,649,649,984,501,503,649,282,503,649,500,501,501,291,500,503,282,39,501,282,500,502,525,503,500,282,500,502,502,282,502,16,649,649,502,501,500,478,502,800,503,800,502,649,282,501,504,368,502,800,800,502,501,649,503,501,500,100,502,678,500,502,501,501,502,282,500,500,514,504,502,500,800,649,16,501,800,502,503,649,502,800,500,500,502,649,661,649,800,11,501,501,503,503,500,503,500,282,503,882,800,502,500,501,501,800,16,500,502,502,501,500,547,501,575,745,282,501,503,800,503,282,503,800,282,282,500,800,610,503,666,502,501,100,501,502,502,502,502,501,649,107,500,503,500,800,93,500,504,16,501,282,501,800,500,503,504,500,503,501,700,16,649,500,282,800,500,282,501,500,649,501,282,649,800,500,282,501,16,503,502,649,502,16,649,504,500,501,502,613,501,500,500,282,500,649,649,501,350,800,282,503,500,501,651,282,501,503,500,501,501,501,500,504,502,800,501,503,502,698,502,649,434,148,333,649,456,649,800,501,800,649,649,502,649,395,649,504,501,502,504,503,502,61,503,503,16,107,500,649,748,355,800,500,500,502,649,504,501,800,282,649,800,502,502,500,503,205,800,504,502,16,25,502,16,503,282,503,800,501,520,502,500,649,501,503,61,800,800,800,649,107,723,504,649,501,358,502,282,649,500,661,649,503,282,649,16,501,282,800,500,501,501,103,800,800,500,800,16,490,649,800,502,800,502,649,502,500,282,503,501,503,639,503,282,500,504,282,649,502,500,502,503,294,501,500,282,649,800,800,237,649,649,649,503,800,501,501,282,501,649,501,649,649,800,500,503,594,649,503,867,649,800,16,500,501,800,800,500,501,107,503,502,800,503,282,649,500,500,501,502,649,500,282,500,500,503,220,500,503,501,501,502,501,503,720,503,791,502,196,502,649,503,107,180,800,214,503,282,107,500,503,649,282,500,16,502,800,503,649,850,649,800,503,502,800,503,649,282,649,502,800,500,649,800,282,502,500,554,502,500,651,851,500,501,800,617,500,860,16,649,503,500,503,649,649,649,649,502,649,503,504,16,504,215,16,504,563,503,800,502,500,800,959,587,800,503,501,800,501,800,501,16,649,765,282,503,649,503,503,800,501,999,649,649,649,656,497,561,282,800,800,503,11,800,532,917,993,500,503,649,500,502,16,502,500,501,501,501,501,501,502,800,16,504,282,503,800,501,500,500,501,800,501,800,649,503,981,800,502,361,800,282,503,282,502,328,107,390,503,501,500,800,649,503,800,800,800,800,503,800,501,501,502,503,16,502,503,503,16,977,824,503,502,649,503,649,649,501,800,503,939,504,197,503,412,502,277,282,510,503,503,649,649,800,282,16,357,282,282,649,982,373,501,583,800,282,378,790,500,501,649,503,501,800,501,325,920,800,500,503,501,501,800,649,649,500,504,500,649,504,500,500,16,502,800,500,649,502,649,503,649,503,500,282,800,502,503,500,510,503,501,800,501,649,503,501,611,500,500,502,501,282,501,501,501,503,649,502,649,800,501,800,500,503,500,500,500,649,503,502,502,800,503,800,503,500,585,282,282,17,282,807,503,192,501,107,502,502,503,800,873,500,501,504,502,500,502,649,502,501,649,205,854,649,282,956,282,16,501,503,501,616,502,502,501,502,800,501,800,282,13,500,500,282,649,502,649,501,129,502,282,649,649,500,434,800,503,800,617,502,976,504,504,800,502,500,656,502,282,502,16,282,282,501,800,500,800,480,500,800,348,800,282,649,501,800,502,503,800,503,103,500,282,500,500,165,524,800,500,500,501,501,649,800,649,649,501,967,649,103,649,16,800,649,282,502,500,503,501,282,500,503,500,503,500,800,500,503,800,800,586,282,500,502,800,504,649,502,649,800,715,800,649,501,502,501,500,503,419,502,501,502,649,500,501,144,503,800,282,800,649,49,649,33,501,504,503,208,501,503,503,800,800,800,501,800,501,649,503,282,653,503,503,282,649,649,502,282,800,282,999,307,649,500,157,151,502,504,282,800,500,502,230,501,500,500,800,500,503,930,800,647,980,502,800,502,502,649,502,502,191,501,500,501,649,502,500,503,501,649,501,502,840,500,502,503,502,800,16,503,649,649,800,800,649,503,501,501,800,634,282,649,502,800,282,868,503,649,800,800,649,228,502,500,395,282,649,649,502,502,501,433,649,800,649,282,501,502,500,649,502,994,492,500,503,800,503,500,500,500,501,649,282,503,502,968,800,800,500,649,19,800,500,501,282,800,282,503,500,653,501,503,705,760,800,500,746,800,501,649,282,649,800,649,800,501,649,502,800,16,501,501,502,322,500,107,501,800,504,502,503,503,502,282,503,600,282,502,501,500,196,649,800,502,649,649,503,500,500,800,330,501,649,500,649,649,16,500,501,503,649,501,705,502,282,500,503,500,282,800,503,500,282,649,503,501,800,501,282,504,500,649,982,500,501,500,800,649,405,501,503,649,282,500,500,500,500,504,500,697,282,502,500,502,586,500,501,649,16,502,649,500,800,800,282,501,282,502,282,502,502,501,830,766,503,502,501,649,500,813,800,502,501,649,282,649,500,244,501,501,500,502,500,830,161,503,800,503,649,800,503,649,502,282,16,800,503,501,649,800,502,503,502,503,800,503,501,800,500,501,800,501,502,56,502,504,282,500,504,500,501,501,501,107,800,282,649,501,350,282,502,649,501,282,503,501,800,649,800,800,503,500,502,53,501,500,354,649,282,503,503,503,658,649,649,800,649,502,800,502,539,503,503,16,503,503,329,502,282,502,502,503,800,500,649,502,500,107,800,5,800,500,503,500,501,282,501,502,500,111,500,564,649,501,500,502,503,800,282,282,800,503,500,503,485,649,500,503,800,649,502,500,800,502,649,800,800,800,503,500,502,503,503,501,502,649,503,282,649,502,649,329,282,503,955,500,282,649,800,339,649,649,501,649,800,800,502,800,282,649,503,136,282,800,501,502,800,128,500,501,800,844,649,500,503,800,501,800,503,500,649,500,136,503,649,649,503,282,500,503,500,501,500,502,501,501,502,649,107,800,504,502,282,502,502,649,800,502,800,501,649,837,503,649,502,800,393,501,501,800,183,501,503,501,503,16,829,500,502,500,502,649,636,501,501,395,500,501,503,500,500,502,501,503,503,553,800,500,500,800,500,502,800,800,800,503,16,649,211,502,502,282,103,282,16,649,800,800,649,413,501,282,649,500,503,649,282,649,503,788,114,800,424,649,501,502,503,800,502,504,503,501,649,500,800,503,649,649,500,800,649,501,649,800,501,504,800,500,495,800,649,502,500,649,635,457,800,16,503,500,522,502,649,500,360,500,500,501,649,800,573,501,800,800,282,16,649,503,649,502,503,502,503,500,179,500,649,800,800,503,649,502,282,502,800,501,501,747,745,502,503,503,800,503,275,649,800,502,503,502,282,503,500,503,16,501,706,501,282,282,282,682,503,502,502,503,649,503,282,315,282,502,504,649,649,503,800,642,501,501,503,503,501,500,503,800,413,500,800,131,500,649,503,282,501,800,649,649,800,282,649,800,800,972,501,502,800,649,500,368,800,800,501,500,800,420,502,503,800,649,671,126,141,503,800,273,158,282,107,649,500,289,502,500,500,800,43,800,942,649,500,800,649,103,649,500,803,387,265,500,649,500,502,501,282,649,211,502,649,502,503,213,800,282,800,282,500,316,502,649,800,649,649,649,45,504,503,800,649,800,504,500,503,501,503,500,649,500,800,800,800,500,800,500,502,107,282,503,93,503,800,500,502,500,800,503,282,282,504,503,500,500,549,800,282,649,502,501,800,504,800,649,503,501,500,500,107,649,649,649,503,717,649,544,503,501,649,649,800,800,649,671,649,503,930,16,473,602,282,460,649,138,501,649,501,503,500,501,503,503,501,501,649,896,502,500,649,502,503,649,502,503,502,282,500,282,282,282,800,503,502,895,502,649,503,33,649,503,460,800,800,500,16,501,500,503,503,800,500,501,649,977,800,649,649,800,649,503,501,503,624,501,649,501,502,649,504,503,282,800,146,501,800,448,500,800,16,649,502,100,500,411,500,500,649,455,503,800,503,503,501,501,501,755,649,649,503,503,502,649,282,501,649,503,503,503,800,500,503,500,294,649,503,16,503,503,503,800,282,16,800,800,30,800,800,800,800,502,649,649,800,503,16,800,800,501,502,649,800,501,282,500,502,103,649,159,503,503,503,649,800,503,503,800,500,501,800,282,474,649,16,503,502,282,502,800,649,500,282,649,502,502,502,282,800,107,503,649,503,501,502,800,500,501,500,501,502,503,800,649,649,501,502,800,210,500,500,484,503,501,800,649,800,503,996,500,503,501,282,275,503,501,501,649,503,649,554,282,500,282,800,501,649,282,774,502,649,500,500,649,500,500,503,500,503,800,503,649,502,898,901,800,16,501,950,503,500,800,282,503,502,504,218,500,608,503,282,716,649,500,800,500,649,800,501,500,501,502,503,147,503,107,503,649,500,16,502,16,501,72,500,501,800,501,500,500,282,502,502,282,800,649,503,501,16,649,503,649,504,502,649,502,535,16,503,502,500,409,501,503,503,501,649,282,501,500,502,800,800,503,16,16,502,611,837,500,502,649,500,500,649,502,501,987,502,282,502,502,502,103,282,282,501,103,800,16,649,500,501,504,649,800,232,501,503,500,16,800,501,502,800,800,649,503,502,16,282,649,282,800,649,800,16,16,649,800,503,502,800,15,107,282,649,800,840,649,331,16,502,16,649,500,16,501,800,156,503,282,800,501,504,503,662,649,502,649,503,800,16,501,503,645,501,282,502,500,503,501,925,503,502,503,501,649,649,503,500,501,869,502,282,502,800,502,800,502,500,282,649,503,385,503,649,800,800,649,500,502,502,501,502,503,800,757,649,502,501,150,501,649,645,500,282,503,381,649,947,502,502,504,649,742,649,503,502,103,500,609,501,800,282,107,649,500,649,800,649,649,502,501,800,502,502,800,502,503,649,503,135,282,649,272,16,649,500,503,504,649,503,501,517,649,649,649,800,500,649,500,500,504,649,649,649,501,563,503,649,502,503,800,502,500,504,503,800,501,503,502,503,800,500,501,503,916,501,5,16,502,500,649,500,503,171,74,649,800,649,16,699,16,500,501,503,503,501,503,503,503,500,974,649,282,282,502,501,107,588,501,503,282,800,503,502,282,16,500,500,500,501,502,502,705,502,502,610,503,503,502,800,800,818,503,502,502,501,391,967,500,503,107,500,649,800,800,649,800,484,987,800,500,502,800,501,649,800,247,103,16,800,358,501,500,500,507,800,502,500,503,501,500,918,107,16,282,501,503,500,800,649,282,282,649,503,500,282,501,356,503,500,282,649,501,649,503,502,800,501,16,500,501,504,16,503,501,649,649,501,103,107,502,500,482,500,800,800,503,503,736,500,800,368,503,502,502,800,800,800,502,500,503,649,501,649,501,282,503,649,649,502,649,649,61,502,502,500,800,501,800,502,502,800,502,649,501,501,16,501,282,501,502,502,503,445,502,282,500,502,649,503,500,501,502,282,502,282,930,501,800,649,501,571,649,500,500,500,649,649,20,501,800,500,501,447,282,800,504,800,282,503,282,501,502,500,649,649,649,68,649,502,500,500,503,501,502,800,503,800,500,16,649,500,500,501,282,649,800,501,649,500,282,500,649,16,503,501,503,282,107,502,500,649,16,503,282,575,502,502,503,282,501,504,502,649,282,500,502,501,500,800,500,501,649,501,759,16,944,800,501,107,501,649,502,501,502,502,503,649,501,16,500,753,649,649,500,821,800,649,500,548,504,282,252,328,500,961,649,502,649,800,800,502,800,500,503,800,16,500,503,103,503,649,500,498,800,501,649,246,503,503,649,500,649,212,502,649,500,800,500,800,960,502,501,282,649,800,343,502,649,501,282,503,800,501,16,502,800,800,500,800,16,504,503,502,503,502,649,503,502,800,16,500,430,501,500,501,339,649,502,649,501,282,501,502,502,503,800,504,501,34,500,502,500,649,500,800,503,503,800,204,16,500,502,501,501,500,800,649,839,501,501,501,800,503,649,727,502,503,171,282,503,800,504,16,800,16,500,501,800,362,502,502,16,649,502,500,502,282,800,282,502,649,500,502,503,502,16,491,649,649,649,504,502,502,888,800,649,649,800,502,800,501,16,800,501,649,501,503,649,409,500,503,502,800,501,249,503,743,800,503,16,502,420,800,500,800,649,282,502,939,649,800,282,501,503,503,502,72,282,282,503,500,502,501,431,500,47,800,649,501,800,649,649,504,630,501,107,187,500,224,800,800,282,503,800,649,543,503,500,649,500,503,503,649,501,501,579,800,503,649,502,800,880,282,503,502,800,502,502,649,800,501,282,822,500,800,503,500,299,649,649,500,107,501,503,800,800,500,501,649,282,649,501,501,649,282,649,16,111,649,503,107,500,503,282,445,800,605,800,800,282,500,122,502,649,503,16,103,800,800,500,649,800,501,800,649,503,502,503,503,501,800,503,282,649,282,649,501,498,501,282,503,649,500,649,502,649,503,800,500,649,502,502,501,502,391,282,800,500,282,800,16,705,503,257,500,501,649,282,501,503,800,261,800,472,503,500,894,16,500,649,107,502,800,503,649,502,705,503,503,503,74,649,502,501,502,649,61,458,502,800,943,501,975,503,649,502,502,501,903,504,501,800,464,502,649,800,501,800,800,502,16,503,649,649,501,282,503,649,800,503,291,800,282,503,500,500,282,800,502,176,501,800,800,649,821,501,500,500,649,577,649,503,800,503,502,800,16,500,502,503,800,282,502,503,501,502,501,107,649,500,649,468,800,502,503,237,504,407,502,503,503,800,500,649,503,502,503,502,800,287,504,503,504,502,500,503,503,282,649,431,503,898,504,504,501,502,502,502,503,153,500,501,500,800,500,500,620,282,649,502,500,501,800,800,502,649,649,282,502,501,800,502,502,800,975,638,649,500,800,649,503,503,282,502,502,644,500,501,107,764,500,353,444,502,503,382,500,989,413,516,282,649,502,502,282,502,282,545,502,144,500,649,500,503,800,503,502,16,503,107,501,800,503,990,282,503,500,502,800,500,649,503,503,800,502,500,800,501,502,113,503,500,16,501,502,501,649,500,502,501,500,504,116,800,538,502,501,649,501,282,282,649,501,649,191,649,800,649,503,282,16,500,800,502,502,800,502,800,800,503,500,500,500,500,282,800,800,800,282,282,649,503,501,649,649,500,336,649,502,501,501,502,16,800,500,502,997,503,649,500,503,16,649,504,500,503,500,503,502,649,500,800,503,500,649,502,502,800,501,501,800,502,800,500,16,282,504,103,481,501,502,504,506,501,800,503,649,500,504,184,501,592,649,737,500,800,282,502,321,800,800,502,819,282,800,649,16,282,107,800,282,503,501,649,649,282,501,502,501,710,158,503,502,602,282,800,800,157,502,649,282,503,194,501,800,800,800,800,501,358,649,16,731,503,502,502,500,503,501,282,800,500,501,500,349,501,800,500,234,282,943,649,500,16,500,503,649,502,503,705,503,500,282,282,13,502,751,503,501,500,501,503,502,800,649,16,800,502,503,103,649,504,500,800,503,460,705,501,503,644,800,800,503,502,800,500,649,502,649,503,501,502,500,502,501,503,800,501,503,501,649,649,800,503,503,502,501,501,501,503,503,800,504,282,503,500,503,364,503,705,503,502,282,504,501,500,800,500,502,800,503,800,424,501,503,800,503,503,800,500,501,501,800,362,502,282,503,800,282,649,282,501,282,800,16,500,886,500,502,500,800,282,502,500,649,282,800,649,649,502,501,500,504,502,649,300,500,501,800,502,800,503,16,503,501,837,800,502,502,649,369,503,282,476,16,501,649,873,503,501,501,501,503,649,968,500,500,503,16,501,16,138,800,649,502,649,800,282,502,282,50,16,800,800,649,649,94,502,501,500,500,800,649,501,503,501,503,403,503,800,282,800,506,522,500,649,503,502,800,501,501,502,771,502,16,501,502,374,800,500,800,282,649,503,501,502,501,501,500,800,502,319,16,503,649,800,366,282,282,680,502,502,637,503,502,649,502,503,503,502,502,974,649,649,187,503,649,501,500,649,649,503,501,649,282,502,107,500,282,503,649,649,607,800,501,235,800,502,800,272,800,103,500,503,618,777,800,500,503,500,501,800,649,649,500,500,501,500,282,649,503,800,16,503,502,800,649,502,503,483,800,649,800,649,502,500,800,501,502,16,503,521,501,282,500,503,800,504,649,501,502,501,800,649,800,16,502,616,695,282,260,501,53,500,800,503,282,503,503,800,500,501,649,503,16,689,800,281,389,800,232,502,649,503,800,501,502,800,649,500,282,800,503,800,649,188,800,501,501,800,500,500,800,800,500,500,304,282,500,501,501,800,501,500,801,282,282,282,502,502,800,649,501,800,800,503,501,107,649,16,501,800,500,503,503,501,649,500,800,500,282,500,16,649,501,649,502,649,800,502,800,649,502,890,502,502,503,501,800,800,800,502,16,501,501,502,503,800,649,800,502,500,504,282,503,649,500,800,503,800,649,649,500,500,649,503,502,16,800,800,500,800,649,800,500,502,502,282,501,500,500,649,225,500,503,500,501,16,282,649,652,501,502,502,503,503,16,500,649,503,16,501,502,500,16,504,503,501,503,501,649,501,503,800,109,800,501,504,500,800,501,500,800,800,692,800,503,502,501,681,501,500,649,501,729,800,500,455,503,500,649,282,502,964,502,282,107,502,501,40,501,649,500,649,502,502,500,649,501,502,649,800,902,502,649,502,245,369,800,502,503,282,16,502,500,502,800,502,649,502,649,16,502,566,500,649,502,502,239,501,800,895,502,649,502,503,800,800,800,501,502,500,16,800,502,502,503,504,107,649,500,502,14,282,927,501,100,800,282,800,500,500,503,502,342,649,500,501,182,500,649,504,990,282,500,649,800,282,502,502,800,649,503,555,501,502,502,501,649,501,501,500,475,17,500,800,800,500,800,804,800,501,800,282,649,16,800,501,649,501,501,107,500,649,503,649,502,649,503,876,502,800,501,501,504,2,501,501,138,282,500,504,649,502,409,500,502,500,501,736,502,503,649,502,649,649,649,800,800,500,16,800,649,500,800,500,503,504,501,503,170,500,941,501,500,282,501,502,282,800,491,502,500,502,503,800,986,503,16,502,503,500,501,147,500,501,282,649,503,502,800,502,502,502,500,503,107,500,500,16,500,503,502,649,500,500,870,500,649,502,502,800,502,501,273,501,501,501,501,502,800,649,501,500,503,16,800,503,502,800,502,500,800,501,282,500,502,503,503,649,282,500,503,800,503,502,500,500,580,500,501,694,501,503,649,649,501,800,963,107,649,502,800,500,501,541,800,649,649,800,502,502,800,800,501,649,166,501,282,500,503,503,649,800,649,800,291,503,813,800,500,649,649,501,736,800,500,501,501,282,800,502,674,503,800,503,502,502,501,500,186,649,440,500,500,500,502,503,500,800,502,557,501,649,649,72,502,649,800,800,107,705,502,502,865,502,500,500,502,16,800,501,649,500,504,503,500,503,649,649,503,501,107,669,800,501,800,501,503,723,800,800,501,649,649,107,649,501,282,501,501,503,501,649,503,649,616,501,502,502,649,503,153,800,503,705,503,800,501,800,501,649,504,16,649,500,500,92,372,500,800,800,253,501,503,503,649,868,500,649,961,503,502,954,270,502,282,501,500,501,649,500,649,501,431,818,480,800,502,500,502,979,73,649,503,16,649,501,800,649,500,501,800,502,503,662,649,422,282,504,103,501,502,649,500,504,503,800,800,800,16,502,500,503,103,649,502,100,501,502,800,649,800,800,501,501,40,501,501,803,502,502,501,874,501,59,503,576,800,800,500,244,800,500,649,503,503,503,503,282,501,649,107,501,502,405,500,164,282,800,282,800,649,114,500,107,504,649,502,800,500,800,282,503,334,282,502,502,5,649,501,501,800,649,501,649,503,16,500,502,500,800,282,800,16,503,502,800,501,503,800,282,504,501,649,800,412,649,800,800,282,649,649,401,300,500,500,500,698,502,500,501,502,502,649,503,982,501,502,282,502,500,501,501,501,501,346,751,282,800,502,702,655,649,500,500,500,500,500,503,649,500,501,503,800,502,500,800,800,800,800,502,500,649,107,800,503,502,502,503,649,501,649,503,282,925,800,504,800,540,500,504,41,16,500,649,127,800,800,800,407,503,503,649,649,500,500,503,286,502,500,282,503,649,16,504,800,500,501,510,501,544,107,705,649,800,501,502,800,501,450,649,649,501,649,503,617,500,649,501,56,502,649,502,501,501,282,260,503,504,800,501,11,649,500,649,500,669,501,649,282,800,287,501,503,282,503,800,649,500,282,500,502,33,649,500,500,504,649,502,503,800,503,800,16,800,502,780,500,500,352,649,800,873,503,649,649,649,649,981,649,503,503,282,649,800,649,501,541,649,500,500,800,16,649,649,282,500,502,14,800,502,503,502,501,503,942,503,107,501,282,503,502,649,139,502,282,503,502,204,800,503,501,282,649,800,649,501,649,502,502,501,282,800,125,500,698,807,3,490,649,951,425,500,503,502,649,379,800,282,500,649,16,501,501,504,800,504,620,500,500,800,501,649,800,501,800,501,649,501,800,501,502,649,503,282,503,501,282,411,331,502,503,248,800,500,500,800,503,649,800,16,501,502,291,502,503,390,501,800,503,500,503,501,501,16,800,58,501,501,503,502,501,800,502,502,500,649,500,282,685,502,800,800,715,502,502,500,500,501,649,500,800,503,502,501,500,501,500,282,503,501,501,502,502,649,649,800,503,502,502,502,649,800,501,830,503,649,800,282,501,503,649,501,155,503,584,593,649,282,502,500,501,649,504,518,500,500,500,800,503,502,649,800,357,16,500,649,800,282,501,501,500,649,502,502,501,800,500,800,649,334,501,502,800,504,501,500,649,282,334,500,649,800,362,501,107,16,282,502,503,501,500,282,800,16,800,500,500,503,649,282,903,25,800,502,501,649,800,282,503,107,504,126,503,503,800,502,501,282,494,500,469,874,16,503,503,800,649,503,500,79,503,800,663,649,741,800,649,502,16,649,501,800,800,800,502,502,54,800,523,536,800,800,800,649,504,649,503,649,500,500,800,502,872,500,649,302,649,649,500,800,649,800,501,502,602,500,649,800,282,503,503,502,500,16,282,501,800,428,502,501,501,501,649,503,318,456,117,502,503,649,502,503,500,649,500,282,16,649,502,501,503,503,649,16,800,500,500,393,800,649,800,649,282,501,501,16,500,503,649,16,500,317,394,282,501,16,503,500,501,500,504,103,500,649,800,627,503,800,503,501,500,580,502,501,502,649,501,800,298,502,503,282,503,649,854,500,501,528,503,500,500,907,796,500,502,282,282,282,649,502,649,108,282,503,800,282,503,500,500,503,503,355,502,502,627,501,501,503,500,502,501,503,303,500,649,623,800,16,649,282,503,501,649,107,500,503,502,348,503,16,503,503,500,501,282,282,800,925,260,500,16,501,502,282,502,500,800,649,649,503,501,500,501,800,16,503,337,707,502,649,501,800,569,504,503,502,16,501,500,282,502,500,503,501,502,502,501,800,500,649,504,501,501,501,502,649,800,16,800,449,800,282,504,800,501,800,16,649,502,503,502,112,501,502,504,800,800,16,502,58,501,502,502,500,649,233,366,501,79,502,361,502,500,427,502,800,649,800,503,500,282,503,649,800,502,649,500,500,501,649,502,16,496,500,16,649,500,504,500,761,501,701,107,503,501,501,500,500,501,649,502,282,800,282,649,503,500,502,502,502,800,649,503,22,16,649,500,500,503,503,501,503,58,369,282,282,393,503,649,800,649,502,649,502,500,206,503,500,800,501,503,649,500,800,649,103,504,103,501,649,503,649,502,123,649,800,936,500,800,501,649,335,500,503,649,649,500,500,502,502,500,503,282,501,800,502,500,500,500,282,282,500,503,537,503,107,415,501,503,502,863,501,503,502,503,679,502,135,800,500,500,80,370,16,649,449,800,501,649,501,501,649,282,282,649,502,588,649,502,503,502,503,503,16,501,502,647,16,503,327,649,677,501,800,502,649,543,800,800,501,501,455,107,500,500,503,649,649,500,502,501,800,282,500,503,800,562,282,502,504,800,800,16,107,500,649,503,649,649,183,649,649,932,649,649,103,503,502,639,503,501,503,365,500,649,800,500,501,297,502,800,503,503,282,500,503,502,16,500,501,282,649,103,504,500,502,282,500,649,500,500,503,501,501,500,836,502,503,7,649,500,501,502,502,502,800,500,308,800,501,502,16,800,800,16,282,617,503,800,503,282,649,501,649,501,800,502,502,16,851,502,649,501,443,503,502,500,502,502,503,500,282,502,500,501,951,502,282,800,504,775,500,501,800,282,370,502,649,502,501,968,282,503,501,800,502,800,692,503,800,500,282,500,503,649,820,503,800,502,503,382,501,502,501,649,501,503,649,282,503,501,501,649,800,500,502,31,800,502,501,282,16,503,649,649,788,929,107,800,503,649,503,503,500,500,11,502,282,800,16,502,282,502,649,503,282,500,500,502,503,500,872,946,501,800,503,649,16,503,800,649,798,649,472,800,502,863,16,800,501,502,503,501,500,873,282,649,800,503,649,502,800,500,8,221,649,294,500,649,649,500,503,502,503,502,503,800,335,16,503,649,500,649,500,502,503,500,500,967,649,501,502,503,503,501,282,503,504,16,502,500,800,503,649,501,503,501,503,649,649,800,800,500,800,500,500,107,501,800,649,503,443,502,649,502,585,500,503,501,554,800,649,502,800,48,604,503,500,102,752,500,800,16,649,500,282,500,483,16,649,800,501,500,474,501,502,107,103,571,800,502,503,649,503,800,800,716,501,282,504,503,649,504,503,503,500,715,503,800,589,282,800,502,800,607,800,502,381,979,500,282,800,800,504,800,503,800,503,503,800,649,310,503,282,800,800,503,379,649,503,501,502,649,500,500,642,649,331,500,502,501,500,502,835,500,503,502,503,500,282,502,282,800,24,503,503,313,924,501,503,501,800,502,800,413,649,502,319,800,103,649,906,502,503,649,502,107,503,800,500,649,502,502,503,800,503,502,504,503,800,501,501,800,533,282,282,501,282,501,649,282,502,503,800,500,501,503,503,811,502,503,360,502,649,649,500,997,501,503,649,503,502,501,500,500,500,502,503,800,747,807,501,500,929,501,503,968,502,502,501,503,500,524,739,503,255,800,800,503,649,840,649,800,500,503,502,503,503,500,16,800,501,502,282,649,501,501,503,501,503,500,503,282,501,282,500,328,765,502,500,282,649,531,21,503,500,945,800,282,649,649,501,800,649,503,500,504,503,809,282,16,501,667,501,929,501,16,800,503,800,800,503,502,16,502,649,561,502,500,502,651,503,500,500,282,821,276,500,800,448,649,501,500,800,800,503,503,649,285,649,502,500,16,800,800,501,504,800,800,501,500,500,360,503,800,788,800,502,500,502,649,502,503,921,649,800,501,649,800,502,503,503,800,998,501,503,800,500,501,500,649,800,17,500,800,500,503,503,501,649,541,618,501,502,800,503,800,649,501,931,501,504,800,501,649,800,473,502,649,502,500,451,800,649,632,502,501,282,503,502,322,694,649,503,800,649,502,16,649,718,503,475,821,627,649,851,501,501,800,501,800,16,800,503,503,500,273,503,502,501,503,501,501,800,165,800,501,503,503,503,501,502,502,667,800,649,649,502,501,502,800,500,800,503,500,503,503,700,800,501,500,731,340,649,500,500,649,502,500,500,502,800,102,649,501,502,500,800,885,649,649,659,649,649,649,501,503,503,800,503,282,649,649,649,633,333,501,800,500,800,103,649,502,983,800,503,503,500,500,282,502,649,502,800,501,649,500,16,282,501,462,500,500,500,500,501,800,502,282,5,502,649,501,649,649,502,121,677,503,503,500,501,649,16,503,649,800,649,500,501,649,800,183,501,800,282,500,800,503,800,502,800,561,503,500,503,504,107,503,502,500,649,800,500,500,503,502,504,503,649,16,282,500,500,282,500,504,800,649,502,503,503,649,502,800,502,503,503,728,649,500,282,503,282,501,936,800,502,502,501,500,649,536,503,501,501,649,500,70,649,649,800,501,503,503,649,501,103,896,800,502,500,500,500,649,500,501,500,500,502,501,500,500,501,282,64,501,500,931,800,649,503,500,800,500,501,800,502,500,765,649,800,501,503,500,504,503,502,504,765,500,502,501,800,800,800,649,503,103,800,500,502,800,800,500,502,501,800,282,503,500,501,501,502,59,649,800,500,502,800,504,502,913,502,500,500,649,501,800,282,649,16,501,501,749,107,800,977,649,503,504,282,649,23,800,103,649,500,800,800,649,500,649,501,500,649,502,957,649,501,500,800,649,800,500,800,501,570,282,649,502,800,800,500,863,282,800,800,502,503,649,501,16,500,649,800,800,282,455,282,500,282,500,649,649,800,501,649,164,282,502,337,502,502,504,501,800,800,500,500,502,501,500,504,16,500,649,502,649,226,649,500,649,649,502,282,502,500,501,501,282,504,16,501,504,800,982,501,902,500,502,501,502,502,501,503,282,501,502,502,500,501,502,16,133,107,502,800,500,500,500,503,800,500,800,800,501,25,508,500,502,503,526,64,502,502,503,502,501,500,107,649,565,503,282,282,282,282,503,503,800,165,282,649,501,649,649,502,502,503,500,501,800,670,503,503,649,501,501,503,500,501,502,132,503,500,502,501,503,501,503,503,282,649,649,705,800,649,649,800,500,500,501,502,351,502,800,649,501,282,503,800,503,501,649,426,282,503,501,500,501,765,800,800,501,282,501,500,932,501,16,501,800,502,140,500,16,649,649,800,159,501,649,282,800,502,373,649,503,500,501,155,800,503,500,503,36,502,503,503,649,501,727,166,976,501,800,800,503,962,500,282,649,501,503,500,500,501,501,503,16,282,501,16,103,800,282,504,503,649,502,502,503,503,649,502,800,503,649,649,649,502,502,487,960,908,800,503,500,800,800,502,503,649,503,500,107,503,501,447,16,649,778,502,649,70,649,500,649,649,502,503,800,16,285,282,957,800,569,649,16,500,800,649,649,500,502,282,16,463,502,877,800,649,502,800,641,503,649,503,800,500,282,649,649,503,282,501,800,242,800,552,283,800,800,407,501,800,800,502,501,282,500,503,501,649,501,500,16,503,649,503,500,282,649,405,649,502,282,649,649,649,226,503,16,503,649,103,501,800,501,800,500,502,502,501,800,503,800,649,760,503,2,713,16,503,504,649,500,800,504,502,649,800,502,500,503,502,649,282,800,501,503,241,502,800,649,500,502,649,16,501,501,501,500,501,501,800,502,16,16,502,682,502,500,649,969,649,502,16,598,894,16,501,800,501,800,502,649,649,500,501,834,800,282,800,800,282,503,233,649,282,800,992,16,800,501,282,501,800,718,502,649,500,282,502,502,500,282,410,107,502,503,503,649,503,502,649,282,501,503,501,502,500,501,800,516,649,649,649,611,649,649,503,501,282,794,356,501,503,501,502,502,282,501,649,282,649,502,16,800,649,501,502,282,282,500,502,649,800,107,503,800,500,500,502,649,837,649,649,503,503,501,502,16,503,500,503,503,501,503,500,503,500,501,649,501,500,649,286,502,16,504,680,504,649,649,501,501,504,502,16,282,503,649,501,502,282,502,597,738,800,502,501,314,502,503,502,800,500,649,649,500,282,501,649,60,500,500,502,649,649,501,500,504,501,503,907,16,649,272,41,503,500,708,502,500,282,503,800,282,502,501,500,800,500,649,338,929,501,501,178,775,502,800,502,502,500,502,502,500,502,649,282,800,800,800,485,502,19,503,500,502,957,504,501,500,800,504,800,800,649,503,282,502,501,649,502,500,649,751,291,501,948,800,502,501,501,649,427,652,114,503,503,326,800,504,503,16,503,800,501,501,800,502,801,501,500,649,500,500,503,500,649,649,501,649,502,501,11,501,503,500,383,503,772,282,501,502,503,649,800,500,282,502,649,649,501,503,501,800,800,503,282,800,800,649,501,649,967,503,503,502,503,16,502,282,107,501,800,502,374,500,282,502,16,405,649,649,649,500,501,501,503,500,502,503,649,16,503,16,503,800,800,502,129,500,649,956,502,800,107,502,127,649,503,282,800,649,501,800,503,282,673,800,649,502,467,854,500,501,682,649,502,500,800,503,502,16,282,501,649,800,500,103,16,240,800,500,800,504,503,500,649,16,722,432,92,502,501,503,501,800,800,503,800,282,679,649,800,62,649,800,800,503,649,800,503,500,103,282,503,649,649,503,821,16,504,502,501,501,502,502,74,106,705,800,501,501,504,500,502,282,649,16,502,502,800,800,502,25,800,800,107,500,502,282,500,500,107,662,500,500,502,501,502,501,16,858,503,501,501,501,800,501,504,501,276,800,649,800,501,503,503,649,282,16,502,501,103,800,649,501,503,103,501,503,800,800,372,501,95,282,107,16,504,502,502,503,649,503,501,800,800,503,832,16,800,649,501,504,818,649,504,502,920,503,504,501,502,501,46,649,584,489,500,800,16,500,501,649,263,501,501,502,800,503,800,503,800,503,501,158,500,503,501,800,503,500,504,282,171,502,502,503,913,365,800,502,503,500,502,500,501,502,710,694,503,649,282,502,501,503,649,502,501,502,282,800,500,500,799,800,500,502,649,16,800,501,164,649,501,503,649,503,280,176,282,715,501,392,282,649,501,503,471,501,503,16,649,500,500,649,500,502,800,503,995,16,800,501,282,800,649,502,800,495,649,800,503,501,502,649,503,282,649,500,501,503,502,503,58,502,501,649,279,501,502,503,649,800,800,649,961,649,800,503,649,500,932,503,649,649,965,502,501,649,216,936,800,500,500,800,913,16,649,502,649,800,501,500,501,503,502,800,800,16,282,800,503,282,16,16,502,649,16,494,501,649,504,502,282,282,502,503,500,800,960,501,501,502,503,150,501,336,282,649,649,500,830,800,649,503,649,649,107,282,16,649,103,500,502,502,503,502,503,550,800,957,282,16,649,502,800,800,800,800,500,16,503,500,500,501,500,649,501,852,800,198,800,501,649,500,291,502,16,502,503,800,800,503,500,502,258,800,500,885,500,16,800,502,500,500,800,501,312,500,504,800,649,503,502,800,502,649,938,800,282,649,800,649,503,502,500,500,501,867,502,501,503,807,405,16,649,503,17,503,503,501,167,501,504,16,500,500,501,501,503,108,502,170,501,282,649,800,502,800,649,649,107,120,503,282,244,500,282,800,649,500,501,282,501,711,502,500,502,800,501,502,230,503,800,502,800,502,501,698,282,800,502,800,654,500,500,649,282,503,500,501,500,502,800,282,501,504,800,501,16,501,649,16,282,640,649,800,503,503,800,501,500,500,502,649,610,103,282,348,107,649,800,502,503,16,800,649,504,500,282,503,649,503,649,800,503,503,649,503,500,501,56,502,502,777,503,16,501,16,502,501,500,503,500,501,500,500,282,501,649,503,517,649,500,800,500,500,502,800,282,504,500,501,500,800,282,649,282,501,500,800,800,649,655,502,649,800,501,502,502,500,282,282,107,503,500,503,862,502,503,282,501,282,504,503,722,800,502,649,826,282,503,502,16,501,16,500,800,649,501,500,503,503,649,503,500,107,282,107,800,502,500,800,683,649,500,502,800,649,503,649,500,649,502,502,502,501,800,503,502,502,943,501,649,502,503,261,800,800,107,750,53,800,503,800,504,502,282,503,502,331,16,252,501,503,800,500,503,800,503,649,649,800,16,800,502,502,122,500,501,502,826,502,503,503,500,502,502,800,503,500,501,501,502,282,503,502,503,649,504,16,503,216,649,500,502,800,238,649,800,500,649,16,501,502,530,119,502,282,404,500,503,103,503,649,649,501,800,501,503,500,500,800,501,503,649,502,800,503,649,501,502,500,649,247,503,500,504,16,567,503,598,500,500,687,501,649,501,600,502,503,500,826,500,282,503,500,857,863,596,501,282,107,500,16,501,501,282,649,501,723,649,502,282,501,500,503,800,107,500,503,282,617,461,501,502,503,503,500,500,503,649,500,503,503,501,282,649,503,282,503,501,502,500,800,571,649,649,502,800,500,501,501,502,201,649,121,16,800,282,16,282,504,502,649,500,502,16,503,500,501,649,466,501,649,415,503,500,282,503,501,502,500,501,503,649,800,641,649,800,502,503,800,705,500,500,502,502,501,503,649,649,800,500,502,502,282,649,502,33,503,501,668,841,502,502,501,627,502,107,695,502,282,649,386,500,800,501,502,649,800,501,503,649,500,800,146,649,503,502,501,500,649,282,500,800,502,800,501,649,500,16,503,500,800,501,824,500,503,501,282,352,282,800,503,504,115,649,649,649,649,500,649,503,876,500,800,764,800,501,649,16,705,800,800,649,502,502,501,605,16,503,282,800,500,649,500,502,200,502,502,503,502,282,500,501,503,501,501,501,800,501,800,500,500,16,500,503,501,800,500,800,649,317,501,185,502,502,16,602,649,649,503,503,451,800,649,502,800,649,502,501,502,503,503,282,502,649,502,502,500,502,83,282,814,800,501,282,649,501,649,282,436,503,500,649,502,807,501,503,649,503,800,502,649,500,800,800,324,502,649,282,649,800,426,501,503,616,282,501,502,800,501,649,504,800,282,500,134,800,503,16,272,282,503,800,502,800,502,649,528,503,141,800,500,501,503,649,800,800,800,282,800,503,282,500,800,649,501,501,503,500,649,502,503,501,502,97,800,306,649,649,500,570,504,649,502,502,107,502,442,800,502,503,800,503,502,348,800,500,500,800,649,503,502,131,501,800,503,500,500,519,790,500,503,16,800,503,649,800,503,503,282,501,282,502,500,502,500,503,503,500,13,501,649,500,705,500,502,139,500,501,502,232,503,800,16,456,501,501,107,501,501,500,501,500,491,502,501,502,649,649,502,649,649,502,16,800,457,995,609,503,500,503,501,997,5,500,800,501,293,500,593,500,502,502,334,200,649,16,16,502,500,503,649,500,502,501,500,503,298,500,800,663,150,800,503,501,501,501,282,500,503,649,329,501,649,501,503,500,481,986,298,16,800,756,649,379,296,503,338,649,502,649,649,501,649,649,649,819,800,560,504,800,649,649,649,500,800,501,800,800,800,800,500,502,500,649,649,800,715,800,649,501,800,502,637,503,501,649,504,502,503,501,502,16,649,795,46,501,500,503,503,503,500,501,501,499,128,501,282,649,649,799,800,500,503,500,500,649,502,282,501,503,800,458,503,649,649,503,502,800,503,107,282,735,502,282,16,16,502,502,503,16,800,501,16,503,500,503,500,500,649,502,16,503,500,501,500,24,501,800,502,503,649,513,503,503,500,503,502,649,649,503,800,502,282,500,800,500,649,500,503,502,503,203,502,503,503,502,282,530,800,891,501,503,282,502,649,502,800,503,501,500,938,282,500,503,501,282,649,502,501,800,649,42,649,503,501,502,501,501,344,500,16,800,503,501,502,16,465,503,649,500,649,502,924,502,596,502,503,500,503,649,800,503,500,660,502,988,16,800,383,503,501,282,649,649,501,500,501,800,282,545,633,800,940,666,282,800,502,184,501,649,423,502,501,500,307,313,649,282,503,503,800,800,500,501,649,501,502,500,501,800,800,649,544,501,107,236,500,503,197,502,501,500,800,800,502,145,502,501,502,501,501,500,501,800,501,503,800,502,993,503,502,649,282,500,649,800,502,503,649,502,501,503,500,289,649,500,501,800,787,858,311,500,414,16,649,16,800,800,282,649,503,800,503,501,800,502,817,16,103,680,282,503,612,503,800,503,560,500,800,502,502,502,500,800,649,501,800,502,502,800,16,502,503,720,503,500,504,502,500,503,282,649,501,800,746,502,500,754,501,503,500,501,800,282,503,800,500,800,503,696,107,501,500,501,503,591,503,502,500,502,502,41,649,500,501,501,282,129,503,159,42,502,800,800,502,282,500,285,503,500,501,649,282,500,649,632,503,596,501,282,501,500,503,500,16,502,500,502,107,649,503,800,649,502,800,500,503,502,282,502,800,503,615,649,628,501,501,503,85,502,501,107,800,649,614,501,800,500,649,649,800,649,500,500,649,612,502,500,503,649,800,502,261,503,501,800,800,100,282,649,501,502,502,282,502,500,500,503,503,501,16,528,610,502,800,500,502,800,503,195,503,800,282,500,502,800,282,503,282,502,649,503,800,649,500,800,800,503,649,915,649,649,502,502,800,501,800,487,502,800,503,800,843,800,501,503,501,501,649,502,501,800,503,501,649,649,655,501,800,649,192,688,649,501,16,649,862,501,501,649,649,500,16,649,800,501,502,500,500,503,501,800,69,502,649,282,649,501,649,500,16,282,503,617,705,503,503,282,502,16,503,282,16,800,500,800,649,501,649,16,501,503,502,500,103,879,800,500,282,107,800,503,668,649,503,800,649,800,649,503,649,500,500,502,800,926,800,503,800,500,503,500,500,502,282,503,649,309,649,800,16,649,982,503,502,282,649,16,800,882,502,502,103,501,649,649,800,282,503,649,503,500,800,664,502,94,502,502,503,800,500,800,649,502,800,800,503,16,282,500,282,501,16,500,502,649,502,649,800,503,500,282,140,491,503,16,282,503,282,649,779,16,500,503,649,503,502,649,800,502,800,282,503,502,264,866,800,502,501,649,500,501,504,800,503,649,501,774,501,501,16,649,501,500,500,800,503,915,503,502,503,500,649,282,211,501,501,504,649,501,501,282,500,282,503,823,800,965,503,500,800,503,866,800,501,800,800,300,9,131,800,500,800,257,800,649,800,282,502,502,649,503,800,989,464,502,501,503,800,800,248,800,649,501,844,500,800,503,501,282,500,501,502,503,894,131,501,800,16,282,282,501,925,107,649,501,500,282,800,501,502,800,800,503,501,821,501,800,503,500,800,800,503,649,800,501,649,502,107,503,649,800,800,48,282,500,787,982,503,501,649,503,501,800,800,16,500,500,504,800,649,649,800,503,501,501,504,812,501,501,16,558,649,222,500,503,503,501,282,500,503,16,503,649,800,500,500,503,502,501,501,120,503,501,649,800,501,501,800,501,500,517,502,800,16,800,107,504,501,500,21,501,649,649,800,539,649,503,503,503,649,502,800,503,800,649,500,687,800,502,503,502,503,694,503,800,500,503,501,296,649,501,282,649,501,282,503,649,500,498,876,502,503,501,503,502,500,649,282,501,100,649,503,500,800,282,502,501,282,502,501,503,500,517,603,800,502,504,500,503,364,500,282,224,16,649,501,889,282,649,649,500,502,16,792,425,503,649,649,501,500,282,501,502,707,502,206,116,649,282,106,282,800,282,800,649,16,705,649,649,800,6,903,235,503,501,502,800,103,649,501,677,800,501,282,502,503,503,282,958,503,649,504,800,502,649,649,254,500,500,502,501,282,190,282,649,800,282,502,649,989,898,500,649,800,16,800,617,501,649,500,282,649,649,503,503,500,502,800,500,502,502,502,800,282,502,501,30,282,282,503,501,359,282,503,500,705,503,282,504,800,649,503,16,503,649,502,501,500,502,649,501,502,501,820,493,502,800,800,501,500,215,501,800,500,800,800,501,800,503,500,800,501,205,500,282,502,800,684,500,500,503,501,962,649,649,197,16,282,500,502,282,282,649,503,800,282,516,500,500,502,800,16,16,503,500,501,800,636,649,16,500,503,769,501,500,500,589,502,500,649,501,500,503,502,503,503,502,500,502,800,800,503,501,649,503,270,503,501,501,800,649,717,501,649,502,800,800,503,649,468,500,180,503,502,800,525,633,282,800,501,501,649,800,501,500,773,503,282,500,898,501,800,282,500,501,649,649,500,107,800,502,649,649,500,282,501,194,500,282,501,477,502,500,800,501,502,500,640,354,502,282,125,16,500,16,500,503,103,800,613,547,282,16,503,503,502,501,504,500,378,282,800,502,775,503,550,502,905,16,500,800,995,501,501,500,502,502,282,500,530,502,503,800,503,501,102,503,800,503,870,440,800,504,800,690,501,500,800,503,500,649,503,454,649,649,500,503,501,995,649,800,500,800,502,127,16,649,503,500,500,500,500,502,500,792,500,118,1,107,800,501,503,16,649,503,16,590,649,503,501,500,500,684,502,18,282,500,502,502,501,411,800,500,501,501,503,500,503,16,503,502,500,503,661,551,800,16,502,503,649,107,800,921,504,503,713,329,649,800,501,501,16,503,502,800,16,500,504,800,501,500,502,282,502,502,500,875,800,649,649,282,500,503,494,800,500,16,800,500,502,501,503,503,800,316,502,501,503,502,282,270,649,800,282,500,503,800,649,503,500,500,800,502,502,649,503,282,800,502,500,502,310,800,800,500,510,800,503,474,649,850,502,649,606,502,649,290,503,502,282,500,502,46,649,501,501,502,500,500,800,282,983,500,502,503,502,282,500,583,800,501,500,927,649,503,800,502,800,502,503,500,649,502,649,16,649,503,502,500,649,503,800,649,649,649,800,75,800,931,501,649,502,282,501,107,502,501,902,649,649,501,103,966,502,501,282,503,649,503,282,500,502,282,716,504,282,649,107,503,16,501,502,504,500,282,649,502,800,60,500,501,282,649,502,500,425,501,503,800,649,502,649,501,800,503,578,282,501,502,107,503,649,503,500,660,500,500,503,451,501,613,649,800,501,503,502,649,503,136,502,282,800,939,502,600,800,386,500,500,503,500,501,282,502,502,800,523,931,503,504,500,503,433,903,282,503,502,162,501,502,649,501,649,500,502,503,501,500,800,501,502,503,503,800,649,501,649,501,502,502,500,16,501,501,800,649,926,882,800,900,917,586,649,436,649,502,504,800,282,800,503,807,800,500,500,503,800,502,649,500,800,800,649,502,800,16,763,502,800,503,443,800,800,649,998,500,800,282,500,188,501,503,16,500,500,845,502,16,988,649,503,265,500,502,502,502,502,503,503,500,502,282,500,503,918,282,800,503,500,502,800,649,503,502,503,504,774,974,503,705,502,502,501,502,501,502,800,501,282,503,502,282,502,103,503,502,501,957,388,800,500,107,501,14,800,103,649,649,282,500,649,649,501,282,501,683,282,501,282,501,503,503,500,503,649,800,501,649,503,503,16,286,502,503,649,502,649,800,501,500,649,502,16,396,800,268,503,500,500,800,503,502,350,800,501,501,649,16,578,66,16,243,649,502,503,500,503,382,649,502,282,503,649,800,800,501,503,500,282,390,16,16,502,107,19,334,800,649,282,501,501,501,649,800,533,649,501,800,282,501,800,501,500,282,649,282,502,501,501,500,479,649,501,181,800,800,800,800,503,501,846,226,649,800,500,800,16,502,500,649,503,282,954,16,800,500,649,800,503,16,501,501,282,649,800,800,649,800,73,503,504,500,502,502,236,405,501,501,649,502,999,800,502,800,800,501,502,829,800,800,501,649,500,501,503,501,503,668,800,503,649,501,503,502,649,800,547,503,501,800,649,282,503,649,501,502,800,800,500,895,380,502,500,503,822,649,649,649,282,800,649,500,500,869,822,153,503,16,649,500,500,503,503,502,501,16,418,501,504,501,502,107,800,501,502,501,503,562,503,502,501,800,500,282,501,649,800,503,800,649,649,997,800,503,500,800,280,502,282,501,282,16,502,16,649,501,800,500,502,502,502,503,649,39,970,649,618,800,501,282,800,501,543,800,504,503,501,502,500,500,306,282,800,501,501,500,503,504,649,503,501,501,800,36,282,500,503,649,512,800,503,800,488,829,502,16,649,502,501,800,649,500,501,649,503,649,800,502,500,252,503,500,649,503,500,212,500,501,800,500,107,503,649,74,495,26,503,500,502,800,501,504,580,501,649,800,16,501,649,16,503,800,500,649,800,500,502,502,503,800,500,649,800,800,800,500,500,73,800,486,502,282,501,501,282,502,274,557,191,502,156,500,501,503,800,502,282,501,649,348,649,336,504,800,501,502,502,649,503,310,501,503,649,800,724,16,501,649,800,502,800,800,501,500,500,649,500,500,649,576,503,649,282,282,107,501,800,502,500,800,501,502,213,501,800,649,103,800,800,649,800,502,503,503,649,501,282,502,618,649,500,107,501,282,644,501,503,501,500,501,649,953,502,502,535,502,800,503,800,501,387,502,970,107,502,846,800,649,503,107,800,388,501,282,502,502,220,502,16,699,991,500,502,54,501,501,649,503,634,502,800,500,501,574,800,484,800,854,503,103,501,503,502,44,800,503,985,501,800,534,649,503,502,649,501,501,502,504,500,500,501,649,800,501,503,501,502,502,800,107,282,501,282,649,502,649,501,800,576,800,501,502,500,501,821,503,282,568,16,555,500,649,501,503,503,501,501,502,858,501,501,649,501,503,844,800,502,502,501,503,800,500,500,503,282,503,800,800,500,808,502,649,800,288,503,282,502,501,503,500,1,282,502,649,282,504,98,503,460,649,800,501,502,282,649,282,503,503,649,501,649,16,500,502,501,282,500,107,16,504,501,502,500,503,501,107,649,517,502,282,503,282,503,284,512,140,503,502,649,502,16,280,502,500,282,649,800,800,800,500,503,649,724,502,649,503,500,501,649,649,503,503,800,800,500,502,501,282,501,800,501,503,800,800,800,16,143,500,501,500,649,735,2,434,800,500,502,649,649,501,500,500,800,649,328,501,282,503,501,800,282,800,282,501,501,649,800,502,800,501,503,348,932,503,427,481,465,500,800,503,500,500,503,502,800,963,282,898,800,501,502,649,500,246,503,649,282,501,500,501,800,282,503,698,500,107,500,500,800,503,500,649,501,12,282,500,502,900,502,503,800,956,649,501,501,501,503,503,800,649,503,500,502,642,649,800,500,502,500,503,504,800,501,800,16,649,500,501,649,16,502,649,649,503,800,649,500,500,502,500,502,503,790,649,800,503,649,787,501,502,166,800,649,548,502,800,800,800,502,163,649,503,107,282,800,16,500,500,500,649,500,993,800,500,16,8,502,503,503,500,503,503,503,649,501,503,800,282,503,800,501,175,503,800,501,282,502,282,582,500,345,989,500,503,500,751,503,321,502,500,800,649,16,649,800,500,800,618,16,282,800,501,503,282,501,16,649,625,501,649,502,428,430,500,800,504,800,16,504,775,501,276,502,501,800,146,500,500,501,500,501,330,16,502,500,114,282,800,950,282,282,185,541,502,800,501,649,502,649,501,501,227,500,282,649,771,500,503,854,186,503,501,205,196,800,501,501,649,800,500,502,501,16,502,800,548,649,500,107,649,649,503,502,649,502,16,500,502,282,503,501,501,800,502,500,649,504,503,500,502,503,76,118,800,800,311,500,501,800,500,501,282,16,500,16,800,800,800,503,502,500,486,800,503,282,800,649,16,501,502,500,501,502,800,16,501,502,282,501,502,500,649,503,501,503,688,331,649,453,503,464,649,503,503,649,967,500,208,649,282,800,350,16,501,503,16,502,501,128,503,502,501,800,503,502,500,282,649,405,501,500,649,502,409,800,500,500,501,119,500,501,502,501,16,282,501,503,503,500,503,649,501,800,503,67,282,504,501,500,503,472,500,649,501,725,501,501,649,501,500,500,501,501,500,502,800,502,649,800,800,800,800,502,649,500,399,500,649,107,503,502,630,503,649,282,695,800,420,649,734,503,649,500,800,501,282,800,800,500,501,649,800,501,501,864,503,503,504,800,503,502,501,500,800,501,800,282,502,500,937,351,501,282,757,503,501,413,717,735,649,42,502,282,924,502,501,649,342,649,800,501,649,502,501,500,649,503,501,500,649,839,282,501,448,800,502,502,503,502,367,800,800,501,282,282,649,800,503,503,500,503,800,282,503,501,790,800,133,502,282,503,800,504,929,500,500,500,502,750,502,649,501,800,504,800,649,997,502,800,649,503,649,649,503,800,501,649,282,502,800,800,282,107,649,935,757,800,649,863,107,501,282,502,649,645,649,503,267,502,503,501,500,800,293,800,800,210,420,503,649,658,501,501,800,500,59,501,649,504,501,503,502,800,70,501,649,500,503,502,501,800,800,777,501,143,501,502,500,649,649,500,800,16,500,501,800,500,504,503,503,649,500,649,282,649,800,501,500,501,649,800,649,800,282,649,800,490,502,502,501,282,503,501,282,800,502,800,649,501,502,800,502,501,503,501,107,500,500,501,501,502,649,501,503,502,649,503,649,282,501,903,501,503,500,500,503,649,503,503,378,503,503,501,16,800,502,501,649,500,502,800,502,649,503,282,649,502,649,282,501,649,649,282,500,503,649,502,502,16,649,502,503,503,246,800,649,500,500,504,857,502,500,500,800,800,17,649,503,84,282,501,502,282,649,503,282,501,502,800,649,53,501,282,499,501,814,503,800,649,800,503,503,800,500,501,364,800,502,649,503,649,800,282,500,503,500,500,649,649,800,658,649,503,649,502,501,502,16,500,501,649,800,500,503,502,282,649,500,503,503,282,500,500,99,501,400,502,501,502,282,282,502,16,500,501,16,503,651,800,501,503,656,503,800,501,502,561,501,649,401,501,16,709,501,503,649,21,282,16,500,503,649,503,16,502,500,504,503,500,649,800,503,504,500,649,486,857,501,501,503,503,754,800,501,504,282,500,503,800,298,501,501,649,107,649,500,502,502,500,800,649,649,502,501,282,392,502,503,500,649,800,502,754,501,649,800,503,649,502,454,800,503,500,16,95,503,410,649,649,649,501,501,502,504,501,503,501,800,500,503,467,282,502,103,40,502,649,38,103,501,500,16,649,500,543,800,16,502,503,503,204,504,502,952,502,356,501,800,502,800,503,500,503,800,406,649,172,502,649,282,282,501,503,800,501,502,503,343,649,500,501,502,503,500,502,282,504,502,649,501,649,500,859,649,502,354,501,502,503,800,502,586,649,501,501,502,800,752,649,284,500,898,500,820,649,649,504,501,966,503,800,502,896,445,596,464,503,501,503,503,503,502,500,979,501,107,800,501,282,500,681,500,649,649,853,502,138,502,503,500,503,800,282,649,500,502,800,501,500,177,649,702,800,503,502,282,502,797,503,503,550,503,282,103,800,282,501,501,502,16,649,502,549,500,500,800,502,103,500,800,800,501,500,297,683,437,501,501,503,502,282,282,282,502,649,282,254,501,644,282,500,503,284,91,16,705,502,500,501,502,282,502,502,502,502,500,800,649,500,800,649,807,282,502,649,504,282,16,649,503,593,925,503,500,800,800,800,800,282,690,500,649,503,503,800,500,800,502,504,649,501,16,649,501,649,502,649,800,282,708,502,501,500,649,503,282,540,800,502,504,800,501,800,503,503,695,282,503,107,500,501,500,282,502,502,800,800,282,503,649,502,503,800,500,674,503,500,819,16,483,649,649,500,502,502,282,282,649,182,16,502,503,649,503,800,503,325,503,502,800,500,502,504,800,800,332,16,502,468,502,503,332,16,504,536,500,488,500,62,500,502,503,215,649,503,16,501,502,649,605,176,501,649,502,533,821,501,503,800,501,282,503,503,16,501,800,649,649,501,503,503,501,282,282,178,649,556,501,800,548,500,282,503,103,649,649,955,500,282,533,503,503,503,649,502,501,842,502,503,501,500,501,503,502,859,649,503,500,500,503,502,649,649,500,500,649,613,800,502,502,501,797,800,800,501,500,501,649,649,502,800,501,688,131,503,800,282,500,800,649,649,800,908,649,503,649,938,649,501,282,649,800,500,800,232,282,16,282,800,501,282,503,502,503,502,502,800,800,504,500,501,500,282,500,502,649,501,501,501,501,501,649,503,503,500,503,282,649,800,500,800,282,504,502,502,649,794,503,71,649,501,827,687,800,649,503,503,800,500,649,16,501,501,502,800,924,500,502,503,649,194,500,503,500,501,502,501,800,502,502,103,502,207,16,503,503,956,763,500,502,502,500,502,502,649,649,502,502,502,500,614,500,649,502,503,649,502,282,502,929,649,282,500,649,501,649,500,500,503,800,800,649,800,500,500,175,500,649,16,501,502,649,800,503,501,862,501,800,33,500,16,231,282,649,282,649,800,502,503,501,254,500,282,500,503,282,649,800,501,501,966,503,502,282,800,501,502,500,501,649,503,501,323,134,649,800,792,501,500,501,282,649,649,501,502,501,282,503,502,503,992,3,503,50,503,501,501,500,282,282,503,503,504,800,472,503,502,500,779,835,649,503,444,800,560,800,502,500,800,800,334,261,970,501,500,649,395,800,500,501,649,800,500,503,282,503,649,501,800,501,11,503,621,282,500,649,282,800,502,800,500,502,500,500,282,500,500,800,282,282,415,16,503,549,503,800,649,500,649,501,282,282,649,800,502,501,504,500,282,501,501,502,501,500,502,500,502,649,265,16,503,800,800,800,800,800,800,649,282,649,503,522,500,500,503,501,16,800,504,503,502,502,501,800,282,800,16,282,838,501,502,500,502,502,649,800,800,649,800,649,503,502,501,500,649,800,649,649,503,501,503,770,504,282,649,503,800,502,500,649,670,501,501,501,800,502,502,500,649,500,649,502,502,282,501,16,800,500,584,501,749,502,503,502,107,502,800,649,502,16,396,502,454,501,649,501,282,503,703,501,746,198,649,800,800,800,282,502,282,500,501,502,503,501,649,649,933,500,128,800,501,501,500,502,500,502,500,800,649,800,501,649,501,800,500,504,649,500,800,501,16,503,800,649,705,502,282,501,502,503,800,501,501,503,502,503,800,818,503,649,503,800,501,530,649,649,236,282,800,500,500,649,501,502,798,502,501,942,501,502,907,503,502,500,500,282,649,503,119,503,649,504,501,577,800,649,922,501,503,282,502,502,649,503,107,501,107,649,501,502,501,501,800,502,136,649,501,503,282,800,503,503,503,800,800,527,107,107,503,501,502,502,501,502,25,503,800,800,503,800,500,282,800,792,282,853,502,800,500,501,649,649,282,502,501,503,649,282,649,502,113,501,800,501,800,64,107,500,503,649,501,649,534,501,282,800,503,649,502,546,502,503,502,501,800,501,779,501,800,649,649,649,500,500,501,16,800,501,503,800,502,503,649,503,501,800,502,500,501,800,502,503,502,502,650,800,502,879,501,282,857,500,16,503,500,502,500,501,502,501,649,500,500,501,107,705,503,282,503,501,649,503,502,649,649,502,504,500,649,282,501,500,16,649,501,282,282,502,649,503,282,649,411,551,501,800,800,501,711,790,16,500,502,504,503,649,282,500,501,503,502,503,590,282,501,282,501,649,649,192,800,282,501,503,282,502,649,500,502,649,504,649,282,503,800,500,501,502,800,593,282,500,502,649,501,649,502,649,501,502,503,800,649,502,503,800,503,649,649,500,282,503,500,502,503,501,282,642,649,502,405,649,800,800,501,503,317,649,236,649,649,502,503,500,503,17,649,800,504,800,213,501,589,763,503,649,800,800,103,800,501,800,12,502,800,855,500,800,500,500,503,503,649,649,500,649,736,501,800,883,502,502,500,500,501,649,164,503,649,282,503,503,322,500,50,501,649,503,503,282,501,504,282,503,649,648,501,107,503,800,685,502,500,649,800,649,502,500,500,649,800,502,500,282,500,500,282,649,502,500,501,649,644,501,503,800,282,649,101,519,503,502,282,649,357,649,503,282,501,501,282,501,502,501,705,502,503,504,501,649,502,518,16,502,649,500,16,501,501,500,649,799,502,503,503,500,649,501,502,16,502,500,800,125,502,791,649,503,503,649,500,503,500,800,503,414,810,649,500,500,501,502,649,52,500,649,649,784,649,282,502,16,282,649,12,282,649,503,649,649,501,800,16,503,503,500,598,500,800,503,16,16,649,282,800,997,265,502,800,500,649,649,503,282,501,500,800,503,501,649,77,16,502,649,502,501,501,800,353,501,282,800,500,502,502,356,504,503,503,502,501,800,800,502,501,16,935,800,500,800,501,502,501,649,800,800,501,502,502,501,502,649,784,429,501,500,500,321,649,649,501,503,103,289,503,501,502,500,502,501,282,944,920,502,800,16,503,800,439,800,500,256,500,503,649,16,800,503,649,501,502,289,649,16,800,501,16,500,503,500,649,503,503,502,501,649,502,502,503,800,502,500,501,800,503,649,800,454,502,503,500,800,502,800,800,501,500,501,282,502,800,501,503,16,500,501,502,501,500,503,800,800,500,501,503,502,800,502,800,502,282,501,282,503,649,500,649,282,649,503,282,800,649,503,502,282,500,800,504,649,501,500,503,800,800,500,282,800,649,503,501,800,649,503,502,649,800,638,503,649,649,501,501,282,500,501,649,501,800,800,877,502,649,503,282,500,800,282,501,500,500,500,501,503,503,503,800,503,282,501,502,500,282,503,500,501,497,649,502,649,800,800,500,503,500,898,649,649,500,304,649,502,501,19,502,612,800,500,800,649,800,16,502,501,250,503,282,16,500,282,649,503,800,503,500,501,649,502,649,800,501,649,649,500,282,500,16,649,500,800,706,501,502,711,502,649,500,504,654,500,649,502,282,500,123,800,503,502,501,502,500,649,503,649,501,500,282,282,501,16,649,649,533,502,800,800,649,83,114,500,500,649,503,649,501,503,800,649,16,502,649,649,500,279,800,503,501,103,503,502,502,502,503,500,503,16,501,501,282,500,503,500,504,501,503,155,503,282,502,501,649,500,503,649,16,31,502,503,360,500,501,16,501,282,500,501,649,392,955,502,649,504,649,503,16,649,503,649,276,504,501,649,493,503,282,278,800,773,649,520,649,501,503,649,13,800,501,800,282,502,649,501,282,504,502,294,501,841,800,501,649,502,503,503,16,288,16,282,454,504,800,501,800,800,58,500,500,649,282,500,649,503,501,282,502,503,800,500,502,502,981,346,502,500,649,786,500,500,502,800,649,501,502,501,501,282,663,501,16,502,649,501,800,649,500,16,800,500,501,502,501,282,500,800,282,500,800,501,502,501,500,649,502,780,502,649,282,502,502,731,500,503,503,502,649,800,649,649,500,649,970,503,501,282,500,800,649,54,502,501,502,649,500,207,502,649,503,282,84,800,800,282,502,501,800,649,503,502,16,501,500,501,501,133,504,800,689,282,502,501,282,503,282,502,282,282,480,500,502,503,503,500,503,502,800,501,32,503,800,501,501,503,800,501,649,246,502,501,500,500,501,500,502,500,500,649,800,501,502,502,277,197,649,103,502,792,501,649,805,500,800,503,503,16,500,503,503,282,503,800,502,502,988,501,500,503,502,502,503,502,500,501,501,501,282,800,312,503,501,500,500,2,501,501,500,800,722,800,800,502,502,661,72,501,800,649,503,501,502,800,649,501,503,500,16,501,501,800,502,649,371,649,649,502,501,800,16,800,649,163,649,800,624,282,800,502,500,100,504,282,649,800,500,649,282,383,800,649,501,502,800,503,502,502,649,188,501,282,800,800,649,800,500,500,503,16,503,501,501,503,800,503,503,501,503,500,500,613,800,33,447,853,282,649,503,800,502,649,16,800,501,282,502,107,800,649,649,79,16,800,503,500,107,500,285,649,500,501,500,800,502,500,649,800,800,800,503,500,282,503,503,503,282,503,500,502,503,501,455,501,503,502,503,502,103,800,502,500,500,896,500,503,360,502,501,649,649,503,504,156,282,501,503,282,16,501,282,266,503,501,500,503,649,500,866,16,500,649,501,504,800,503,649,139,500,502,501,503,504,501,178,502,649,503,907,800,649,501,579,502,500,503,502,649,502,501,500,316,502,503,282,501,967,502,503,800,649,500,502,282,731,501,907,800,501,800,800,502,800,23,503,500,649,500,740,800,501,503,649,501,500,282,282,500,331,113,502,502,800,16,502,503,502,282,800,800,107,749,800,71,502,649,649,649,282,800,502,502,649,800,918,649,16,500,282,500,503,282,502,679,649,800,282,282,502,934,503,649,282,502,778,501,501,282,535,282,16,165,503,972,503,500,501,501,800,500,503,282,500,500,800,800,501,649,248,500,649,502,800,371,502,740,500,503,501,502,78,505,502,907,501,502,503,800,800,800,501,750,649,635,649,94,193,105,800,502,282,800,500,16,501,649,800,282,502,503,503,502,16,501,500,500,500,485,503,282,501,649,502,500,504,932,282,649,107,767,649,503,545,350,800,649,502,800,501,800,222,282,282,502,502,502,503,502,800,649,500,502,504,500,502,500,197,500,503,502,503,649,800,282,800,501,649,503,500,502,501,502,800,97,800,800,282,649,649,615,503,800,502,500,282,500,502,504,503,800,282,501,502,649,649,103,500,282,500,800,501,649,501,916,282,502,16,282,649,501,504,500,500,502,502,503,800,133,501,800,284,500,800,800,800,282,467,800,503,501,800,500,502,800,16,500,503,873,282,800,502,800,282,503,649,649,649,282,800,649,503,649,282,501,649,439,501,500,536,500,649,24,649,103,500,16,502,503,282,501,955,500,500,508,800,376,502,800,649,800,503,503,847,501,311,501,501,800,500,800,503,504,503,649,800,503,500,756,503,800,649,955,94,502,800,649,501,501,800,282,503,282,500,502,503,282,500,501,649,501,16,503,16,503,503,649,282,16,501,282,661,649,16,649,800,500,5,501,649,649,504,503,800,64,649,649,503,502,501,502,800,16,502,501,501,500,503,503,800,501,502,649,282,226,649,502,501,282,501,540,503,503,502,500,282,649,16,503,649,282,103,282,503,649,747,649,649,800,649,800,586,504,783,503,503,502,649,503,844,503,503,501,497,502,649,503,500,427,503,503,282,531,503,282,503,501,501,980,500,502,800,502,61,501,800,503,282,649,649,501,107,649,501,500,649,649,504,638,503,501,912,502,282,502,649,504,282,501,649,800,500,282,500,500,467,649,501,502,503,649,500,649,501,649,503,501,277,978,503,649,501,432,61,503,800,282,502,130,525,503,502,36,649,502,500,800,16,503,504,256,827,501,500,501,503,649,502,282,705,502,473,800,503,503,649,649,858,159,500,136,501,503,502,501,800,500,501,501,649,668,800,501,715,503,332,800,88,282,107,502,649,649,503,501,500,282,500,649,503,282,482,503,503,502,500,502,16,800,420,500,16,500,800,282,500,503,16,286,16,282,503,501,427,504,800,501,503,500,503,282,503,649,752,503,800,296,502,501,649,649,501,501,501,800,501,500,502,503,649,649,649,502,649,501,502,524,502,503,503,800,503,503,16,500,502,503,649,530,504,518,502,501,326,501,503,500,282,500,502,503,620,502,16,800,800,800,500,800,649,501,502,649,500,501,500,503,852,765,800,500,502,500,787,800,649,649,800,501,371,800,16,606,504,800,16,800,501,501,649,137,501,908,107,501,649,501,921,500,503,501,503,501,501,649,649,800,501,501,500,282,500,503,800,107,282,502,800,504,502,800,800,800,649,800,500,502,649,608,282,502,500,503,502,649,151,501,282,282,800,501,502,503,800,500,500,500,500,218,883,16,504,502,503,800,155,502,501,502,649,502,248,502,800,503,500,502,501,990,500,282,504,503,500,800,282,800,282,649,503,502,800,649,501,649,16,500,503,501,502,503,800,282,899,501,501,800,500,857,282,649,16,501,502,500,501,502,281,501,502,504,253,800,800,501,649,502,800,791,282,246,504,503,649,502,501,501,500,500,16,502,503,19,110,282,800,500,502,16,501,502,649,625,649,16,649,500,500,502,649,649,800,501,501,500,432,649,502,500,649,649,501,500,205,501,103,500,282,500,282,800,500,800,501,502,500,501,800,649,585,500,811,649,800,502,649,16,649,649,500,500,503,502,501,503,501,262,649,482,649,51,282,503,649,649,32,500,502,503,649,502,501,500,548,528,668,501,800,649,502,800,500,500,649,705,649,501,501,500,107,502,503,503,501,683,800,705,503,649,503,282,145,800,502,500,92,71,649,649,502,501,389,503,800,216,502,504,502,502,503,502,800,500,649,500,800,800,500,502,501,503,103,503,2,500,503,649,649,498,502,103,501,502,502,800,503,502,125,501,649,502,837,282,502,800,882,500,501,503,501,500,716,503,909,501,800,502,502,107,502,502,500,503,649,89,800,502,503,16,504,800,503,503,649,649,649,800,282,649,649,502,840,502,503,501,156,502,155,503,501,502,649,503,502,581,501,649,501,502,500,800,500,501,500,649,649,800,800,649,282,500,282,503,555,800,282,503,500,800,502,501,649,60,649,649,16,500,800,649,649,800,500,800,503,501,503,732,502,649,500,145,501,282,312,503,500,649,500,800,800,500,16,800,502,502,818,502,502,282,649,800,649,500,503,503,500,502,502,502,501,649,689,153,800,107,500,502,649,501,503,501,503,800,649,502,282,502,649,800,649,501,282,428,16,500,649,502,503,501,501,503,501,503,800,502,159,800,501,500,649,649,503,502,500,448,502,583,503,649,649,649,500,503,501,649,689,184,502,649,500,723,649,408,501,501,500,282,502,649,500,16,800,771,16,500,500,750,649,500,649,649,501,501,501,500,739,286,649,502,500,501,500,282,503,502,501,501,800,501,282,282,500,503,37,282,500,503,800,502,501,501,502,800,800,500,286,800,800,503,503,649,800,502,503,503,500,500,503,503,503,942,500,500,649,984,502,26,501,501,649,649,384,502,502,649,501,503,502,500,107,649,800,800,282,649,500,471,501,649,503,500,503,282,502,943,502,303,889,76,649,185,502,503,503,500,800,413,649,800,502,500,501,501,502,649,352,502,500,16,282,282,282,500,18,502,500,649,503,501,502,504,800,501,500,800,502,282,16,501,501,800,503,503,632,16,502,501,503,500,502,951,500,502,503,503,500,649,800,500,503,500,649,380,500,503,501,503,649,208,800,649,649,501,501,501,500,649,502,500,649,282,282,500,503,503,649,503,282,500,503,649,500,282,501,502,502,503,800,502,16,503,107,800,676,501,107,503,500,503,500,500,501,501,503,500,500,800,502,502,503,503,649,502,500,502,183,16,503,502,649,502,503,502,800,649,502,503,503,649,282,534,501,502,282,502,275,282,500,501,502,502,84,16,588,800,501,649,503,268,282,503,558,502,649,503,501,503,500,502,503,503,504,334,800,649,503,500,800,501,800,502,471,800,501,503,501,501,446,500,923,502,800,649,503,107,500,504,503,800,502,649,501,282,503,282,649,282,800,799,800,656,800,503,500,800,503,230,955,504,503,282,502,649,922,649,702,502,502,246,500,649,501,503,500,649,503,501,502,503,800,800,676,649,16,248,501,800,103,503,500,503,282,503,500,16,282,179,800,103,501,800,800,649,282,888,502,649,649,501,649,282,649,501,16,16,502,649,501,501,649,800,649,770,649,503,503,500,995,963,503,501,500,282,502,867,138,844,502,649,649,501,501,26,503,503,503,503,522,501,282,107,503,502,577,466,503,504,800,649,649,800,649,503,282,502,500,800,649,649,503,604,500,502,649,500,500,649,503,16,649,500,649,500,649,800,500,649,282,800,16,965,649,502,502,503,16,476,502,502,649,500,649,502,502,500,501,502,800,649,501,16,800,649,503,649,45,501,282,800,502,502,649,884,649,649,762,800,189,500,502,502,649,859,502,649,282,501,16,800,282,502,282,282,509,17,501,649,800,800,649,503,501,500,503,282,503,500,500,800,503,504,800,501,502,502,800,503,298,502,500,504,500,426,800,282,500,52,845,458,649,502,16,503,111,282,503,649,501,502,501,800,502,500,800,500,649,502,649,800,502,503,649,500,500,503,501,16,500,501,800,504,503,502,502,502,500,503,649,800,853,503,502,649,502,800,502,502,501,503,501,501,800,649,501,344,501,501,502,503,649,800,503,498,501,503,800,282,501,500,649,282,280,501,502,502,504,917,502,338,500,282,800,585,501,649,502,503,502,289,501,282,800,11,103,800,649,503,649,502,16,282,503,503,503,800,282,501,282,500,649,501,503,502,502,638,503,501,500,800,800,649,503,503,649,800,500,693,500,32,649,649,502,500,501,465,503,381,649,503,504,502,502,649,973,503,503,500,503,649,276,649,503,503,800,500,800,107,502,500,502,649,215,500,800,800,504,504,500,500,705,501,500,501,649,503,270,501,49,503,500,501,502,800,282,800,503,649,649,501,501,503,504,624,503,243,500,500,501,16,16,500,800,800,501,502,503,500,501,42,500,800,501,800,800,579,502,68,501,501,501,649,16,800,501,282,500,649,503,806,502,503,502,800,500,649,503,800,503,502,503,649,800,502,51,503,502,500,282,503,178,502,417,502,107,286,501,755,502,502,503,423,800,649,265,800,502,502,502,649,501,500,503,501,502,500,500,502,461,501,800,501,941,649,501,502,649,800,504,502,500,504,16,649,501,800,107,649,501,209,6,503,503,800,502,649,502,256,649,502,503,649,140,500,500,501,649,502,503,282,503,502,501,282,501,503,800,501,282,282,504,503,915,502,365,250,500,282,503,770,500,502,800,435,649,503,502,649,48,500,800,547,649,500,962,876,501,504,404,500,16,503,664,500,649,16,501,501,16,649,800,282,502,282,956,649,663,800,500,800,800,800,649,502,500,16,502,800,500,503,500,501,649,800,504,500,16,503,709,501,502,705,27,800,278,503,500,500,95,800,501,500,649,503,20,780,502,800,501,501,996,649,800,500,282,502,177,800,55,28,502,500,500,649,940,16,501,502,503,501,800,282,503,502,502,649,502,649,221,800,502,502,502,282,500,503,500,500,649,500,247,500,282,800,500,800,305,501,503,503,800,649,503,282,282,649,800,800,502,159,421,649,16,16,500,103,503,503,282,503,502,502,282,649,800,649,502,282,518,800,714,502,501,649,501,503,800,16,504,649,649,282,282,502,502,282,503,649,800,282,501,800,841,500,81,133,649,503,501,503,755,502,503,500,282,630,502,502,502,800,500,501,502,501,503,770,432,500,500,502,103,500,501,503,501,800,282,432,501,282,503,501,800,501,502,504,886,502,502,282,503,800,502,504,366,501,501,282,107,385,500,503,282,649,500,503,649,504,503,501,500,649,800,504,282,500,503,800,501,504,16,649,503,649,503,282,500,502,500,649,501,502,501,800,785,16,679,282,500,500,502,800,503,501,501,503,800,649,502,501,503,501,502,502,503,800,501,628,500,97,503,501,502,500,502,500,503,800,543,500,112,502,103,501,800,800,501,803,16,800,897,649,649,503,649,501,282,649,649,502,283,849,500,920,702,800,282,501,503,282,649,652,164,500,504,502,282,503,925,282,503,502,649,504,503,500,800,800,800,500,501,16,800,800,503,502,503,282,282,503,500,503,282,649,502,800,649,501,800,649,501,800,503,649,502,800,503,503,203,531,649,503,800,16,500,293,282,500,500,502,500,503,649,103,649,282,163,500,617,212,107,504,504,502,504,800,502,502,500,501,649,501,501,502,792,800,649,503,800,504,800,44,502,500,649,705,339,501,15,502,502,503,502,501,800,103,504,500,758,502,500,500,800,500,501,501,502,501,800,501,649,649,800,102,502,479,800,649,800,282,800,501,503,503,354,501,282,502,282,649,503,282,800,501,500,663,694,268,500,282,502,500,502,649,16,800,501,781,504,800,800,800,800,800,503,649,649,25,503,800,500,501,588,800,800,28,800,700,501,503,501,282,282,800,503,282,16,649,800,800,502,500,16,800,503,503,500,40,800,500,502,107,503,998,502,800,500,502,502,502,649,681,800,503,500,649,502,800,16,502,501,503,500,500,800,884,649,500,503,502,282,503,504,800,16,187,795,501,800,503,800,649,502,107,503,800,501,503,282,800,649,501,774,649,503,137,649,500,799,800,500,501,282,800,107,501,800,282,502,501,439,502,503,502,501,501,282,502,500,800,193,16,16,800,884,502,649,500,649,500,800,282,916,502,11,800,649,502,500,282,502,645,500,502,800,503,502,16,501,273,800,502,502,619,282,800,282,274,800,649,800,503,503,88,800,800,503,649,241,649,737,500,800,500,503,649,502,649,500,501,502,500,501,501,924,800,501,501,500,502,500,501,649,502,649,500,502,502,800,503,500,502,502,800,500,800,649,501,800,504,503,11,649,503,501,649,502,282,602,502,649,503,500,649,410,501,649,503,649,502,925,649,502,649,500,649,535,833,367,502,501,282,649,282,500,503,501,501,52,503,800,500,503,500,282,800,16,800,501,500,282,107,502,502,501,16,649,500,503,469,502,800,500,500,649,649,504,503,800,800,502,501,16,501,800,500,800,503,303,503,504,502,501,500,503,502,503,649,649,503,502,501,649,800,649,649,282,501,800,649,649,501,649,503,500,502,502,500,502,649,500,501,503,503,800,282,501,501,282,501,800,500,500,500,649,500,502,503,501,501,800,501,502,502,500,649,103,800,502,501,649,500,649,649,502,800,503,500,159,455,649,649,500,503,649,500,16,500,800,502,500,800,503,502,502,800,502,371,800,800,107,649,16,501,664,883,649,502,502,500,282,500,503,503,501,649,500,800,649,649,800,502,501,502,800,282,262,501,282,503,16,282,581,500,503,282,649,649,538,800,504,501,800,503,282,800,783,500,649,503,800,500,649,501,504,800,649,500,821,500,555,282,228,65,282,282,800,500,497,502,504,16,16,249,501,500,800,490,500,503,502,282,503,502,502,649,385,501,800,502,502,16,503,500,502,503,501,500,500,800,502,503,282,16,649,503,503,649,800,503,500,817,800,503,800,924,800,107,502,502,500,800,800,501,502,649,500,500,503,500,502,501,649,800,800,501,800,800,502,800,502,501,500,282,502,649,642,649,800,501,649,503,800,649,49,502,502,800,500,800,649,503,649,501,501,501,800,107,502,503,649,502,649,324,800,800,800,649,501,649,500,502,502,501,500,503,501,407,500,107,649,502,282,16,502,800,649,649,16,244,16,282,501,649,502,501,649,502,282,282,502,800,502,501,503,502,501,501,500,503,158,800,649,500,800,800,501,503,800,910,503,282,800,800,16,503,501,800,16,503,800,800,44,503,197,555,502,502,501,502,800,503,500,195,282,500,649,502,649,649,502,649,800,503,502,282,500,282,649,500,501,282,282,503,501,644,501,800,649,501,500,526,504,503,800,502,501,16,501,504,385,503,800,800,181,649,500,282,500,51,501,282,502,640,649,800,503,503,500,800,649,282,649,649,800,501,649,501,501,800,800,800,282,502,500,800,800,502,503,800,649,649,800,502,501,989,501,649,107,502,503,800,501,649,500,501,282,300,645,753,503,502,800,800,501,502,500,503,649,501,649,776,649,270,503,136,201,500,401,282,502,503,16,800,503,503,800,201,649,649,800,235,800,649,503,500,500,503,649,649,566,501,502,649,502,649,500,503,500,282,502,282,702,500,500,649,989,800,500,501,800,705,503,286,502,501,501,809,282,500,502,107,16,501,649,18,502,504,501,500,433,500,503,502,500,502,500,210,501,503,501,875,500,501,502,741,800,282,649,502,649,500,503,503,800,504,122,500,502,500,800,705,649,649,503,800,502,500,503,503,649,845,503,501,800,501,501,502,51,282,500,772,503,800,649,282,504,500,164,649,503,500,502,503,249,502,800,500,501,502,502,649,500,16,800,503,501,800,649,985,282,502,649,649,282,807,500,453,500,501,800,620,649,504,502,503,504,952,502,971,503,501,501,92,503,500,501,502,502,503,164,501,501,503,501,502,649,649,503,502,282,649,282,502,500,649,501,502,502,16,501,500,503,501,503,282,698,800,649,501,800,502,649,502,649,500,500,649,503,504,501,649,503,649,502,168,800,501,503,502,649,503,391,649,800,503,649,501,502,501,503,503,800,500,800,501,500,501,800,500,500,503,501,501,502,503,282,800,503,18,502,282,649,282,503,503,314,502,503,800,500,454,504,800,282,502,512,501,649,503,500,503,502,502,502,500,501,500,649,501,649,501,501,800,503,500,282,16,777,649,501,997,649,502,500,649,649,502,502,282,502,207,502,649,503,503,501,800,502,649,800,501,502,500,502,649,282,503,282,501,800,800,800,800,501,649,800,649,502,501,501,500,502,82,282,503,800,501,502,500,501,257,502,500,800,501,502,500,502,501,501,502,227,502,2,800,282,500,103,800,649,500,501,502,500,800,800,502,501,649,500,501,501,500,500,16,16,502,649,501,500,649,500,16,16,500,800,282,649,500,418,501,502,649,649,800,500,685,503,649,502,800,501,16,77,503,282,501,649,800,500,282,501,649,502,501,500,503,800,502,501,503,500,16,500,502,502,16,500,503,501,16,282,16,502,430,212,500,282,649,576,502,800,500,800,107,501,800,975,501,501,503,282,800,800,829,16,503,268,649,649,649,501,500,800,655,800,503,502,503,16,503,107,282,500,502,649,501,282,500,16,500,107,16,501,503,503,501,502,649,282,671,501,689,800,282,503,800,503,501,649,501,500,24,800,503,649,504,649,800,649,649,502,502,16,348,502,502,502,500,502,503,649,500,502,16,517,649,16,503,568,800,502,502,500,282,282,16,502,502,520,501,729,649,282,729,649,882,502,258,501,500,503,800,774,503,500,154,282,103,800,504,501,500,502,170,502,502,502,502,503,502,503,800,649,503,503,502,545,502,500,800,800,501,16,675,649,503,800,649,502,649,432,800,282,500,501,800,500,501,649,503,649,504,800,501,800,502,649,502,730,649,501,502,108,649,649,502,305,47,282,501,282,503,501,800,800,282,745,859,503,501,500,630,649,800,649,649,501,649,282,649,282,503,800,16,16,282,649,503,502,503,500,649,500,502,800,500,231,500,502,649,501,502,502,500,649,501,649,503,649,649,502,500,800,649,505,500,800,649,282,368,501,503,282,502,501,501,501,500,503,503,501,16,503,128,282,500,506,501,502,800,649,649,554,130,800,501,503,800,504,800,800,798,475,800,503,502,503,504,800,282,649,56,501,503,503,502,705,282,500,501,500,500,282,501,500,501,282,504,774,800,649,503,649,500,500,503,502,282,503,501,501,800,270,800,502,282,800,649,649,800,172,354,776,503,500,503,504,501,500,282,282,282,899,282,503,502,282,503,501,649,349,453,502,500,649,800,16,501,649,543,501,502,82,503,16,57,16,500,16,501,649,363,503,502,649,502,500,502,770,502,500,16,502,503,131,501,502,501,282,503,464,649,800,500,501,479,502,502,937,282,502,508,502,502,800,649,282,505,649,170,649,500,986,500,649,503,503,501,501,502,649,649,800,649,342,503,800,500,503,502,501,779,501,650,503,649,649,502,16,800,649,800,503,502,503,501,503,649,649,800,502,800,503,16,282,500,649,282,16,503,501,649,500,776,503,501,800,502,649,16,282,502,649,502,800,649,649,501,649,500,500,503,503,501,613,504,502,503,502,800,500,860,649,800,649,502,800,501,100,800,649,626,282,503,649,503,503,282,800,501,503,649,401,800,500,501,800,502,387,800,800,146,282,649,282,800,213,649,800,500,110,800,800,501,282,649,800,800,502,501,649,800,831,500,502,503,649,500,503,503,500,800,500,501,503,800,649,503,501,800,502,649,800,800,502,800,503,800,16,500,501,501,501,502,500,986,502,329,800,800,672,107,941,502,800,441,500,800,502,39,500,481,800,503,500,502,501,334,502,502,502,500,282,503,649,502,502,16,503,468,530,500,503,84,800,282,282,107,800,792,501,502,503,500,500,800,503,800,166,501,500,800,800,800,501,103,800,800,502,292,649,426,649,500,500,503,649,516,649,800,445,295,502,504,503,282,501,649,501,649,800,502,195,649,107,504,502,649,502,392,500,500,500,500,649,500,503,502,649,386,500,501,107,649,861,800,504,800,649,649,649,649,502,52,800,107,800,502,502,500,500,16,91,800,282,502,503,800,282,503,605,500,500,5,967,503,649,503,282,282,503,705,330,501,501,503,282,800,343,800,501,649,800,131,500,107,649,649,500,130,500,16,649,502,800,649,502,282,503,800,501,649,503,502,503,503,235,800,503,768,500,705,504,503,938,282,649,800,16,282,503,800,282,800,503,501,502,282,800,503,500,502,503,500,501,502,649,501,503,500,800,502,503,500,501,503,649,502,501,503,16,501,500,502,800,282,800,800,503,800,502,501,649,3,504,502,502,114,500,500,503,107,986,800,501,501,800,649,504,503,719,501,503,501,501,319,649,503,502,557,503,502,353,800,754,502,501,800,16,649,500,500,269,282,266,649,800,282,386,649,502,878,719,501,800,649,503,500,500,500,649,502,282,649,800,500,503,502,502,503,503,800,501,500,500,649,282,16,503,16,501,800,500,800,649,354,16,484,501,151,800,894,502,500,500,502,503,503,502,504,503,501,649,649,107,502,649,502,800,800,503,504,649,504,500,385,503,814,502,501,502,800,649,502,502,503,665,800,503,501,649,800,649,501,502,503,502,502,500,800,500,501,502,502,282,502,503,503,23,502,282,800,649,800,800,282,107,503,503,649,502,504,500,500,503,501,501,503,336,502,649,800,503,501,800,502,800,500,503,502,502,800,282,504,503,503,800,649,503,59,800,501,500,649,800,502,500,800,649,503,502,500,649,502,800,649,501,502,500,183,800,855,800,489,846,649,501,800,500,282,502,503,946,494,16,502,500,501,502,649,800,924,800,503,502,501,504,503,500,767,800,880,502,500,800,501,649,156,503,503,800,311,503,282,574,800,800,500,503,649,618,844,800,500,282,725,503,315,502,800,503,500,107,800,16,503,800,504,282,501,503,649,800,502,800,282,649,503,800,501,800,800,458,63,800,503,500,502,306,502,282,800,500,282,282,502,649,500,16,800,649,800,649,705,649,500,500,90,16,503,502,800,500,649,501,800,502,691,501,107,502,282,501,502,500,649,502,576,503,500,504,504,800,502,448,501,503,800,502,649,649,501,649,501,372,502,503,649,504,502,502,705,502,649,249,502,649,649,800,502,501,282,501,800,502,16,502,503,503,800,649,500,970,502,502,503,500,282,501,282,502,16,502,649,502,103,502,649,16,503,654,501,649,800,649,503,500,800,501,282,16,800,347,500,501,649,501,504,501,649,800,501,501,800,502,502,502,503,649,501,503,501,501,458,500,649,501,131,501,500,649,114,501,501,800,504,501,501,502,800,501,502,649,109,16,502,502,800,807,501,501,649,500,800,649,502,800,502,501,277,649,502,502,503,502,503,503,649,800,502,500,649,502,800,500,282,649,649,649,500,282,502,282,276,649,800,485,503,504,502,800,978,501,500,502,503,800,282,431,649,800,503,402,501,800,502,501,500,103,649,500,70,85,16,800,501,503,649,502,996,800,500,500,649,501,503,501,649,502,379,407,500,501,800,800,501,649,503,689,208,649,502,649,502,649,649,500,854,503,649,800,502,501,502,800,649,500,501,471,502,501,800,500,282,502,800,948,794,649,500,501,649,376,501,16,649,501,649,500,649,791,500,503,503,559,865,502,501,282,649,309,122,500,503,649,500,649,501,500,502,502,503,501,501,502,503,675,649,282,800,502,800,500,503,649,501,503,282,502,649,282,755,649,500,282,800,800,501,866,649,500,504,649,585,503,800,503,503,503,800,501,502,7,503,503,649,501,649,503,502,502,501,502,500,501,649,282,502,800,500,800,945,649,503,967,503,503,502,107,649,501,500,501,671,649,502,501,570,502,501,502,855,16,282,500,800,501,649,69,501,500,800,503,295,503,504,800,16,16,282,500,800,501,649,500,518,16,649,649,649,503,500,282,502,800,500,823,501,500,500,503,502,649,501,500,800,500,282,540,536,649,649,918,501,800,503,501,102,853,649,502,501,800,503,126,502,800,502,501,649,503,910,649,503,502,503,800,649,501,502,282,502,366,500,501,124,649,800,800,16,501,501,800,265,649,911,501,502,282,649,282,504,800,500,103,769,769,503,800,504,500,16,649,936,800,649,501,500,503,282,282,503,503,500,649,500,504,500,500,800,649,649,502,800,501,500,282,502,503,503,282,501,501,800,649,649,500,502,503,501,800,800,800,500,502,882,500,501,506,282,800,81,502,503,502,501,282,500,500,502,501,282,16,800,503,503,501,649,649,145,501,800,516,282,649,16,800,862,502,282,500,649,16,649,502,649,500,503,500,503,103,649,500,500,500,500,748,500,501,501,800,502,649,612,649,381,224,66,282,800,800,503,502,503,282,502,947,501,502,502,16,282,38,649,504,857,611,800,649,310,504,334,649,282,649,800,503,800,649,503,503,683,753,501,282,170,649,501,800,800,649,503,539,500,502,503,501,649,800,502,500,800,107,503,501,671,994,502,800,593,501,501,800,282,500,800,503,800,502,502,501,500,649,800,501,501,501,649,107,649,103,500,501,282,16,501,502,502,207,334,500,649,800,502,503,504,500,500,446,501,800,502,500,800,501,503,502,800,500,501,649,649,502,649,503,649,503,691,503,503,503,503,800,502,800,649,649,634,503,500,500,501,520,245,800,503,649,649,800,707,800,503,800,136,501,749,604,210,503,501,503,503,649,649,800,282,503,500,649,500,485,500,501,649,16,800,649,597,649,503,107,501,503,800,503,144,503,500,503,649,800,991,672,16,118,649,503,800,282,800,16,503,649,502,649,800,118,649,779,798,502,517,282,129,16,503,63,800,502,282,800,166,282,503,649,649,502,800,501,502,800,503,503,501,551,503,502,800,800,500,282,422,503,649,800,800,500,500,502,501,282,582,502,800,500,282,800,503,502,886,649,501,800,649,500,800,282,649,649,503,828,502,925,603,649,800,649,500,649,502,500,500,501,500,503,800,502,16,800,503,501,649,800,757,800,500,649,54,503,502,500,800,282,649,503,649,16,502,500,800,502,841,800,501,649,500,800,503,423,500,502,500,501,504,571,474,504,502,500,503,502,754,800,500,500,100,146,501,649,649,622,649,503,502,501,107,502,503,649,502,23,502,649,503,895,500,649,502,800,502,800,800,649,500,649,500,503,501,581,503,501,800,503,501,503,500,655,778,501,502,503,501,504,16,500,649,284,501,501,800,502,500,649,501,282,500,649,502,649,503,502,500,115,649,649,282,999,503,501,502,179,103,502,503,649,503,501,502,800,649,355,649,501,503,501,502,502,649,649,503,649,282,500,800,800,800,500,800,649,800,800,800,649,31,502,282,649,500,502,500,800,502,649,500,504,800,282,503,503,502,500,502,503,500,649,677,500,800,649,502,800,500,800,501,282,502,649,503,504,501,147,501,833,800,501,502,800,500,800,502,501,501,16,503,503,649,501,502,649,649,69,282,502,502,800,152,649,503,426,501,30,501,500,282,386,500,282,107,649,100,502,503,649,502,503,864,503,800,502,503,500,103,502,503,501,500,16,800,504,502,896,649,503,501,859,503,931,500,649,503,504,649,501,502,480,502,501,504,503,501,501,750,991,503,501,503,503,649,500,502,528,821,800,649,649,649,502,800,235,503,500,806,781,893,649,502,500,282,503,500,501,501,800,800,16,748,504,282,800,503,800,853,501,503,800,502,500,500,502,800,800,649,502,500,649,282,502,282,527,501,649,500,503,282,800,800,502,501,503,282,503,503,800,282,501,800,501,501,649,503,131,649,800,107,502,500,500,500,867,503,921,500,503,23,503,500,500,800,390,502,800,503,501,649,500,649,500,649,574,16,657,800,705,282,800,500,504,503,503,502,800,501,502,503,500,649,503,501,73,501,500,503,502,800,503,503,649,5,912,502,800,501,100,501,649,800,16,500,16,800,501,132,800,500,648,649,500,285,649,282,503,500,500,504,503,501,501,501,501,503,502,504,500,504,800,16,649,107,800,800,503,699,749,503,500,502,503,502,502,800,502,502,502,501,501,501,649,649,649,500,500,649,502,649,502,16,500,501,800,502,712,800,649,31,500,502,800,503,502,502,649,282,503,649,501,500,500,501,502,502,282,16,180,16,649,500,500,649,500,501,503,502,503,501,427,501,282,500,501,500,501,501,649,503,649,502,501,502,649,649,501,500,503,800,800,502,800,501,800,800,16,503,500,501,649,800,501,503,800,800,502,504,15,649,500,501,500,503,16,103,500,503,502,991,502,16,381,800,502,96,340,282,282,501,502,501,16,282,504,107,16,500,714,649,503,606,500,502,649,502,501,501,502,649,649,800,500,500,649,800,502,649,282,501,501,500,649,649,581,500,800,800,502,504,502,461,500,50,800,16,800,503,16,502,800,502,502,336,649,503,649,649,500,800,649,941,502,187,502,800,504,500,21,501,503,705,649,513,501,800,649,501,502,800,16,504,800,501,504,649,501,282,544,649,649,649,282,503,800,501,500,888,501,502,503,103,649,502,500,800,282,16,800,500,800,502,800,503,502,503,16,502,347,501,800,500,504,500,16,501,649,353,400,282,503,914,502,502,503,649,502,103,501,800,16,500,502,800,768,504,649,502,503,60,502,800,616,501,500,649,500,502,501,501,500,282,502,500,16,504,800,502,500,502,800,500,503,16,800,649,282,500,500,503,800,502,649,282,501,800,16,800,670,271,800,502,152,502,502,577,690,488,800,502,649,500,501,800,500,635,800,502,502,97,282,800,941,500,500,500,501,649,649,649,503,503,501,500,500,502,501,16,503,502,649,500,918,500,502,16,500,502,649,503,501,502,500,502,649,807,16,503,500,527,502,949,501,282,500,500,501,500,500,503,501,502,5,107,800,502,501,502,502,800,502,282,649,500,500,502,8,504,649,649,800,800,16,502,388,800,501,282,317,801,649,502,649,503,502,657,649,649,500,800,500,502,16,800,502,502,504,500,282,800,500,503,16,800,800,100,502,800,893,205,503,500,282,504,502,107,96,562,500,144,500,649,16,174,635,500,649,16,800,800,16,501,503,503,649,501,500,502,649,508,502,871,800,649,503,800,282,503,500,16,649,501,16,649,500,282,500,502,501,244,500,500,800,649,422,282,800,294,501,500,503,16,486,503,282,501,501,502,503,16,282,500,500,282,500,649,575,282,544,649,16,800,282,649,502,282,857,800,501,282,649,500,581,649,649,503,722,188,502,346,800,99,503,503,501,500,533,800,800,502,800,502,503,503,282,16,282,502,502,500,800,800,501,291,501,500,649,503,649,502,695,500,800,761,649,649,281,500,649,503,500,501,504,649,502,501,282,502,649,501,500,500,503,501,500,724,282,107,282,500,500,501,800,807,108,282,800,649,177,282,500,324,16,649,501,800,503,501,706,649,728,649,649,503,800,649,16,630,503,500,649,502,107,800,501,505,649,16,649,317,501,683,649,501,503,353,502,501,649,649,501,800,502,500,503,649,503,751,503,500,649,282,500,835,502,649,502,500,649,800,649,503,502,649,500,188,502,502,649,800,501,800,500,800,649,800,282,503,502,905,503,775,459,282,282,501,800,282,501,649,176,800,800,503,502,503,500,649,282,282,16,501,500,649,649,500,283,501,649,503,649,649,503,719,200,500,205,502,649,502,649,500,282,500,800,500,500,649,430,503,800,800,282,16,649,501,800,800,504,800,501,503,800,502,501,800,501,504,282,800,503,800,200,282,500,282,501,502,502,16,502,501,603,502,649,501,962,503,502,800,500,503,649,37,502,800,282,846,502,800,800,961,457,800,500,649,559,502,500,107,716,501,501,503,282,649,800,649,502,502,501,503,500,282,500,649,649,500,502,503,800,500,502,501,500,487,849,502,503,503,800,500,500,807,502,503,503,195,282,501,679,649,503,800,501,502,931,649,282,500,503,500,282,501,800,649,282,800,800,503,16,501,500,262,800,649,501,336,649,501,649,501,800,502,502,282,500,501,503,500,504,502,500,649,282,649,501,282,800,501,504,500,502,501,501,649,649,501,800,500,502,502,649,282,500,649,16,649,501,500,502,503,282,500,649,502,649,501,502,503,282,501,282,502,502,501,501,166,770,500,501,800,366,16,500,503,502,282,800,800,500,503,501,649,503,800,649,504,800,500,649,501,503,503,503,569,649,323,501,610,500,800,649,649,107,16,502,792,502,649,63,194,649,380,800,282,988,501,649,501,501,604,257,800,800,501,800,500,282,502,282,800,502,282,800,503,501,971,503,800,800,50,649,800,800,501,649,500,107,502,502,500,502,24,504,800,500,500,420,501,501,502,43,704,502,503,501,282,39,811,500,502,649,27,503,282,649,502,500,500,502,282,800,500,282,800,955,501,800,501,500,501,501,502,500,649,500,649,500,649,649,649,501,501,800,501,282,649,503,649,502,500,649,282,107,282,502,503,649,502,649,282,500,683,500,800,501,649,502,649,501,649,503,649,800,649,649,500,502,503,649,502,503,753,500,502,590,503,618,649,503,500,249,503,503,800,502,282,649,125,500,500,501,649,502,502,649,500,649,29,649,500,501,800,649,282,766,16,800,502,502,921,502,500,502,810,501,649,501,800,502,501,502,649,107,917,502,282,800,504,501,119,503,800,800,800,503,16,500,649,503,503,502,502,16,502,800,501,503,282,743,436,21,343,500,501,649,502,16,501,501,649,501,501,503,282,501,16,500,501,500,500,800,503,800,502,503,503,282,279,649,800,649,501,501,501,282,502,502,500,501,921,502,800,503,50,649,649,282,800,500,502,503,503,502,503,500,503,649,503,649,500,500,502,649,754,503,502,503,81,502,800,16,500,282,503,800,389,649,350,649,503,800,800,503,945,502,800,16,103,500,282,807,504,503,353,500,502,503,111,16,972,502,502,649,858,502,282,501,649,503,282,649,500,649,500,452,649,502,649,500,500,500,649,800,796,502,503,282,800,282,800,800,500,337,500,503,650,500,503,800,609,649,800,504,282,501,501,500,649,500,503,800,800,800,501,989,501,649,649,801,503,500,504,107,503,369,649,503,503,501,282,503,502,503,501,282,800,454,16,800,503,649,501,501,503,500,103,504,800,502,258,282,282,649,501,107,649,500,649,501,282,649,500,649,282,501,500,503,502,500,501,502,800,649,502,503,500,502,649,89,503,282,16,393,167,503,800,800,501,649,107,501,502,503,501,503,502,501,649,800,649,54,503,800,649,500,502,502,649,502,501,503,502,503,500,503,502,502,282,152,503,649,800,786,800,800,800,503,28,800,500,800,501,501,502,501,649,500,500,503,500,502,503,800,500,501,742,500,282,501,502,858,560,800,502,800,502,501,504,501,664,501,800,501,500,503,500,800,500,563,649,255,503,282,218,190,502,502,649,16,500,16,503,649,800,16,502,500,502,502,522,16,649,503,649,362,452,502,800,500,282,649,504,503,800,649,500,503,501,856,504,282,282,649,501,800,500,501,500,107,800,503,800,800,502,649,282,756,503,503,282,649,503,800,282,503,282,800,800,800,503,649,503,282,503,502,649,503,16,800,500,282,500,500,502,800,502,649,800,500,501,282,649,273,503,649,500,502,104,456,503,502,501,45,503,502,800,502,353,500,107,501,502,649,501,282,800,800,503,500,33,502,502,16,800,800,954,800,502,803,578,502,502,797,800,16,800,107,907,503,789,649,501,503,952,503,800,500,649,500,504,800,649,282,502,503,500,649,501,800,502,503,502,233,649,503,502,888,800,500,800,502,503,501,282,786,501,696,409,503,649,800,205,638,503,500,649,504,500,590,502,800,502,258,500,500,501,649,107,529,503,501,649,649,501,800,500,282,501,800,58,503,282,502,500,206,282,707,502,503,649,502,503,800,571,503,500,800,503,500,501,800,501,800,502,503,705,800,500,504,804,503,500,705,503,649,282,504,502,502,800,501,649,503,501,500,282,501,502,500,649,503,16,649,800,379,800,503,500,500,282,800,500,649,16,503,502,500,800,500,501,502,649,501,800,800,649,501,502,500,282,501,502,500,649,502,500,500,502,503,282,501,503,282,649,500,16,500,282,501,649,18,502,417,649,16,501,508,282,503,649,103,800,501,503,501,966,649,800,282,501,500,501,501,502,501,503,708,107,501,503,649,16,96,502,502,282,502,500,502,460,800,800,501,800,649,649,502,501,502,500,800,502,501,800,800,503,501,502,501,722,932,800,500,800,502,649,282,392,502,502,329,282,282,967,500,89,500,501,500,501,503,649,800,16,501,500,503,649,502,649,170,156,500,282,500,503,282,323,57,649,501,502,502,649,282,800,500,778,500,501,502,800,504,500,649,649,500,502,500,800,501,503,503,503,500,503,153,504,502,503,503,501,501,501,502,800,502,962,503,282,501,502,501,503,462,501,502,800,501,649,500,502,193,500,800,501,649,502,502,500,501,800,502,408,16,503,282,649,800,500,800,502,500,649,502,282,501,649,880,103,47,502,325,800,503,501,502,800,800,24,500,504,500,503,649,503,501,500,501,28,501,649,501,649,504,501,501,500,611,649,502,870,649,502,649,503,800,282,282,649,502,107,501,503,800,502,800,504,800,503,501,800,800,649,503,937,625,800,659,500,800,502,800,800,649,282,503,500,504,649,393,178,501,649,500,328,649,503,649,224,727,649,282,800,503,16,649,503,289,649,769,649,502,16,421,502,501,597,503,502,649,649,868,649,649,649,649,16,501,501,909,500,649,502,16,448,800,503,503,501,282,502,503,649,649,869,500,800,501,432,282,800,649,504,502,500,800,649,800,649,649,16,503,502,501,649,800,501,500,797,800,502,800,282,501,503,503,680,502,325,502,16,501,502,502,800,501,517,502,16,503,153,502,800,384,503,502,649,500,503,800,321,800,800,502,649,107,501,798,500,649,800,501,500,500,417,800,649,502,282,449,500,502,503,502,800,649,502,502,503,503,502,503,107,282,649,649,282,800,502,649,503,282,649,649,440,649,503,649,649,800,800,800,501,500,501,500,710,649,503,16,501,503,501,800,800,503,649,800,502,649,501,501,800,501,16,649,800,502,16,503,500,987,503,502,800,179,649,503,16,573,502,501,501,649,500,501,501,416,16,649,800,649,649,502,16,822,503,649,503,649,649,500,503,504,501,502,282,500,501,502,800,16,501,500,282,649,503,501,555,800,282,500,503,800,503,500,800,755,501,503,800,503,500,745,649,282,800,304,307,502,282,708,500,501,680,500,800,16,282,504,16,649,282,800,501,686,502,501,503,800,500,500,16,501,500,501,282,500,649,502,282,504,502,282,800,500,503,503,501,800,945,282,649,614,503,649,649,503,501,16,500,503,16,502,503,500,800,800,503,968,501,649,502,500,499,502,502,501,640,500,500,107,500,501,282,286,502,800,800,502,500,502,282,502,502,504,282,800,501,501,500,16,282,503,503,502,502,502,107,874,501,282,502,649,103,500,282,503,282,880,507,501,501,649,503,932,503,503,503,501,503,800,503,503,800,649,800,282,503,501,500,800,649,501,282,503,500,649,502,266,502,502,282,501,503,500,330,335,161,282,502,502,500,503,501,649,800,800,502,501,501,91,500,501,829,500,501,502,500,501,148,257,199,503,569,501,207,502,673,503,800,649,649,441,649,501,503,503,500,800,282,800,503,649,500,282,649,500,502,503,800,282,502,500,605,800,649,503,500,807,503,856,800,502,649,800,800,823,531,503,800,615,649,16,502,596,501,179,649,502,502,501,511,502,715,16,16,649,649,503,282,16,649,501,800,282,282,800,501,500,502,649,800,16,282,502,502,282,500,500,649,503,501,909,282,500,500,501,740,649,501,503,800,502,977,503,503,502,16,649,501,282,800,649,500,263,800,732,503,501,500,500,649,503,501,502,502,848,503,264,502,500,282,282,504,800,649,649,800,501,16,502,502,502,444,501,649,502,501,479,828,501,503,649,503,33,502,503,282,503,16,353,500,800,800,800,500,502,322,501,641,800,16,501,649,500,500,282,500,501,649,501,503,649,282,503,800,649,500,684,502,500,500,16,649,649,503,503,282,16,282,501,500,649,800,282,502,649,649,293,502,500,500,501,502,500,501,800,75,503,282,503,500,800,109,297,282,503,500,800,502,649,502,501,649,501,143,869,649,501,502,500,502,502,503,503,500,503,649,501,500,502,503,502,502,125,800,502,16,800,107,500,500,46,503,282,684,503,502,282,807,501,503,282,502,800,649,501,501,501,502,500,649,501,800,503,502,502,282,282,503,501,847,646,501,282,912,601,282,501,282,649,502,500,800,649,501,649,503,649,503,502,501,503,503,800,649,649,16,502,649,800,500,503,500,501,251,800,800,503,500,649,649,500,452,800,572,500,500,502,649,502,649,500,7,503,649,800,503,504,503,502,649,501,500,396,502,502,649,502,502,649,501,806,649,502,16,683,583,649,16,501,800,503,503,800,16,797,503,501,282,800,800,502,800,649,502,501,649,500,649,282,282,800,503,800,500,502,503,503,502,282,501,800,500,800,501,282,502,538,649,500,500,502,282,800,800,800,800,649,503,649,500,800,501,800,282,59,501,501,503,503,502,500,502,107,282,500,500,649,501,502,16,501,780,502,800,311,649,502,800,649,502,500,500,16,500,503,649,282,649,503,643,800,501,503,500,442,502,800,651,800,501,706,502,501,282,502,800,16,649,500,649,500,503,954,501,649,800,502,501,649,502,503,502,503,211,357,151,16,501,800,503,649,800,649,800,823,402,649,282,502,500,503,500,649,16,503,649,471,800,500,501,500,503,551,971,800,649,503,800,243,503,500,503,503,502,706,482,649,649,502,501,500,500,649,800,800,649,501,503,855,612,503,448,502,501,800,500,500,649,503,282,649,502,282,649,501,649,501,500,61,501,800,800,800,282,800,649,649,411,16,103,16,500,500,873,649,502,649,16,501,502,503,649,503,522,501,750,503,800,501,282,502,286,16,502,800,502,501,503,649,503,800,501,501,503,500,500,649,888,500,800,282,900,800,282,969,500,502,800,502,16,282,500,501,501,103,503,503,649,16,503,500,500,501,649,503,800,623,503,800,500,282,282,16,16,282,503,503,16,649,68,504,282,882,649,502,649,478,649,851,282,800,800,500,501,800,501,800,649,443,103,603,114,503,503,800,282,503,501,800,282,500,649,804,501,503,503,800,501,503,649,800,800,500,612,501,16,800,503,502,800,800,503,503,503,282,413,649,16,502,282,800,649,503,500,683,502,502,500,488,502,500,500,503,501,649,282,800,220,273,503,501,282,500,800,649,649,501,282,501,16,503,501,152,282,500,500,90,501,500,501,649,502,504,282,800,649,502,500,500,503,503,502,795,501,503,501,501,501,649,990,107,800,501,503,722,503,800,649,500,503,800,649,503,501,500,960,800,107,649,502,502,354,282,16,503,503,282,800,16,16,500,282,501,649,502,282,800,501,503,282,649,649,16,501,502,649,282,500,500,503,800,502,501,282,282,501,503,502,649,502,503,30,503,503,500,800,800,282,649,862,800,500,139,503,501,160,503,649,501,800,291,800,503,282,500,503,502,791,501,502,418,504,500,502,503,649,800,742,542,649,649,501,282,503,502,501,500,500,501,501,16,994,800,504,504,502,501,502,800,649,649,383,503,502,282,501,503,502,596,800,502,231,503,649,16,503,649,800,107,501,649,424,503,501,500,500,649,800,698,502,503,502,16,800,800,502,553,501,501,502,800,800,500,716,501,502,649,800,12,502,502,800,503,501,504,800,649,502,501,649,649,649,800,503,501,649,500,649,502,649,800,502,502,282,244,502,649,503,503,649,107,649,659,501,500,502,501,502,282,743,503,800,501,501,500,501,501,649,501,502,504,503,649,649,502,649,503,501,649,501,502,500,504,800,500,500,103,500,501,500,649,502,649,649,501,501,503,649,797,502,16,503,800,282,500,501,649,500,649,500,500,800,500,502,649,649,502,800,500,502,649,282,941,501,502,800,773,649,500,500,282,501,500,501,649,500,282,107,800,974,649,502,503,502,282,500,478,114,649,649,501,503,501,503,649,78,649,503,502,729,649,500,800,778,503,500,878,502,502,503,500,800,500,294,501,1000,649,16,282,500,649,649,763,500,500,501,794,503,649,500,500,500,649,503,649,501,800,501,500,502,502,800,500,649,282,800,539,502,649,282,800,501,501,575,500,501,282,96,800,800,504,501,503,502,16,502,649,542,649,501,953,502,672,649,800,502,501,502,800,649,649,503,500,649,649,282,746,581,502,649,503,502,502,649,991,282,770,504,492,503,649,162,500,500,503,503,502,500,649,503,501,599,277,502,501,649,572,800,649,502,503,502,800,800,502,649,282,282,501,503,338,800,503,502,107,500,501,501,649,502,501,649,800,649,519,649,503,500,282,800,649,649,800,649,501,500,649,517,500,649,193,501,500,649,502,500,800,500,800,500,800,501,502,502,282,983,872,875,396,503,649,500,649,503,282,501,800,501,249,649,282,503,800,800,16,500,501,649,500,501,612,500,503,800,501,501,501,800,501,234,776,649,503,800,503,501,502,500,502,649,649,705,649,500,943,501,500,501,649,503,501,500,103,800,832,800,503,502,649,500,503,501,500,649,503,279,502,800,800,886,503,500,502,501,501,501,800,500,282,503,501,282,501,503,800,649,282,800,807,569,503,649,649,500,501,503,800,282,503,649,502,500,501,649,502,38,761,503,502,857,501,282,800,500,503,500,246,501,500,502,502,282,501,405,246,503,572,351,503,649,800,282,800,800,800,649,649,500,282,649,282,649,502,559,649,531,503,241,501,282,649,502,503,649,482,503,16,282,503,503,500,502,502,282,410,593,502,500,757,502,328,503,16,282,800,503,504,503,70,501,500,503,800,282,800,696,502,502,502,649,105,502,649,721,502,500,800,800,502,501,502,503,282,904,136,800,16,93,501,649,282,503,649,282,780,503,501,663,503,502,282,800,501,282,153,800,501,282,800,800,503,503,500,500,800,501,503,282,503,501,974,649,282,502,500,503,282,503,503,649,649,800,502,503,789,712,500,800,800,800,503,649,649,500,500,682,502,502,500,503,502,502,500,501,503,882,649,501,16,501,649,503,502,282,500,501,649,649,502,491,649,582,501,649,649,503,149,282,500,501,282,502,800,501,501,800,649,500,800,501,500,501,649,500,503,16,503,500,103,500,504,16,502,800,500,503,500,503,503,649,500,501,649,502,503,800,800,501,500,800,502,645,931,229,502,665,500,800,800,60,800,500,649,800,501,649,282,503,518,649,502,501,502,502,184,649,501,503,501,282,28,502,500,219,167,500,502,16,501,503,501,950,334,876,282,500,503,500,282,502,501,649,800,800,60,649,522,107,504,500,501,503,502,502,503,504,501,503,552,800,502,872,501,501,879,649,503,667,234,800,501,500,565,800,503,282,649,282,502,502,282,502,282,501,503,800,501,501,501,858,649,500,502,500,800,502,107,800,503,649,800,800,500,649,503,800,649,503,800,800,501,649,282,500,800,649,502,282,649,553,800,16,500,502,500,500,501,500,503,502,800,501,501,503,503,503,503,800,502,965,502,502,649,282,54,16,503,501,783,503,649,502,501,503,501,503,503,649,501,800,67,393,649,800,500,195,800,649,800,500,282,800,500,16,500,502,500,800,800,800,503,649,16,500,501,501,282,16,107,503,501,649,504,502,800,504,649,218,304,800,501,504,649,228,649,503,501,501,504,243,502,500,502,649,282,134,800,649,503,844,800,500,500,502,16,503,649,503,502,800,500,501,800,282,244,503,501,501,649,282,500,503,500,502,939,282,503,649,500,240,501,107,503,500,800,282,282,800,800,502,800,16,800,501,503,800,317,489,501,800,649,282,800,800,87,800,649,800,16,500,282,503,282,282,800,501,502,503,649,800,502,503,800,502,106,500,282,282,500,649,502,800,502,501,502,500,503,282,503,561,800,502,800,800,649,800,282,501,502,594,814,800,501,503,800,649,504,649,800,156,800,503,649,500,800,501,501,16,501,800,800,502,500,504,503,8,602,501,282,640,502,501,501,500,282,16,503,649,107,649,800,501,649,689,500,502,503,501,649,503,502,800,503,503,500,501,503,800,96,500,800,16,501,501,500,16,503,502,502,510,500,500,16,501,503,800,486,649,649,16,503,800,502,503,800,501,503,500,282,503,103,502,604,16,500,501,800,800,649,502,501,501,649,800,262,649,743,572,503,282,846,16,649,649,136,504,800,501,502,501,16,500,736,282,282,493,502,649,649,501,502,503,282,503,501,502,503,502,502,649,282,501,121,800,800,503,705,501,503,503,503,501,582,500,503,500,282,282,239,503,16,503,500,800,501,502,500,500,16,500,649,502,800,502,800,800,503,16,501,649,800,890,503,680,503,503,502,502,649,649,800,800,501,503,501,500,800,649,501,282,997,16,502,883,501,503,500,16,500,800,833,800,512,500,500,649,649,282,649,800,503,282,282,503,503,501,502,649,502,501,501,500,502,800,180,500,503,504,502,502,16,649,500,649,502,649,502,800,800,300,502,800,501,501,832,502,16,501,503,501,503,500,501,503,649,500,323,501,500,282,503,800,502,649,800,282,500,500,501,502,16,800,502,122,282,501,500,501,282,502,800,649,503,501,500,502,503,503,501,800,501,501,500,936,501,500,800,107,502,800,501,282,503,501,800,649,500,4,501,502,501,649,502,503,501,500,502,14,384,187,16,282,502,800,649,500,502,501,800,503,800,800,649,501,500,56,503,501,800,504,107,500,501,800,503,107,502,500,503,501,502,501,282,649,503,649,501,800,877,501,503,800,282,504,649,501,500,16,662,500,282,503,282,800,740,649,649,185,282,504,500,502,608,500,649,350,501,500,501,500,502,501,649,500,654,16,282,500,501,800,501,503,503,501,649,501,282,649,16,501,501,318,282,793,649,504,500,501,800,503,501,811,800,800,501,649,800,664,282,500,537,884,649,495,502,800,103,500,701,500,282,282,649,883,649,640,837,503,800,501,502,945,485,501,500,344,501,800,502,502,500,522,502,503,500,800,501,503,649,500,503,713,503,282,282,830,282,500,649,800,16,500,649,502,282,649,800,502,501,800,504,282,507,124,503,501,502,503,504,503,501,502,500,649,500,503,606,649,500,503,649,392,788,500,826,649,649,649,257,282,982,282,649,649,800,800,503,807,9,501,495,502,957,282,800,501,502,16,500,500,800,503,282,501,500,940,502,502,502,500,800,500,503,800,16,500,640,649,501,502,799,501,500,503,501,503,501,649,282,500,501,282,649,500,501,649,16,501,800,800,282,500,800,503,282,503,800,241,504,503,800,282,503,501,500,501,502,501,919,800,800,649,282,502,649,503,503,500,649,800,501,500,800,502,503,500,501,502,800,503,282,800,915,503,504,502,800,649,500,501,227,500,500,649,503,649,503,800,502,649,649,649,502,502,502,501,500,500,473,500,502,503,649,107,503,501,504,632,500,800,502,500,86,503,800,800,500,502,533,500,502,503,800,649,282,502,502,502,501,649,649,282,503,147,500,503,501,500,649,95,16,502,502,615,282,649,502,502,500,528,502,800,501,501,107,500,282,800,16,501,500,583,500,649,320,500,800,501,649,414,502,503,482,800,800,500,800,503,502,501,504,503,282,503,800,649,800,800,500,502,16,500,60,800,500,800,500,500,501,503,800,502,649,502,501,523,503,16,503,501,502,649,503,800,503,503,500,501,800,800,503,104,502,502,502,800,503,800,500,503,19,502,501,282,991,282,649,502,500,501,502,208,504,649,800,500,800,503,501,503,503,500,500,103,501,649,500,501,504,800,502,282,500,500,501,649,649,502,500,31,503,800,649,504,800,273,649,649,800,910,502,16,373,129,649,800,501,501,683,800,800,501,107,282,500,500,540,503,282,649,102,502,282,968,463,503,503,787,282,800,503,502,500,503,800,800,500,649,500,649,500,16,649,807,503,503,502,501,282,501,503,649,649,573,649,800,501,502,282,503,500,800,814,502,800,502,501,387,16,503,800,438,62,378,211,46,649,503,501,502,16,502,502,281,502,501,503,16,800,502,500,212,503,503,455,11,501,649,501,302,500,500,502,594,500,500,649,502,500,800,705,282,502,570,503,502,501,282,502,504,16,800,800,500,800,502,502,282,502,498,502,649,500,500,501,500,367,503,941,16,502,500,503,500,649,503,126,800,503,501,500,800,500,649,800,500,504,501,501,502,649,500,503,503,800,649,282,503,649,501,682,501,502,703,501,649,503,500,282,501,502,649,800,520,800,502,503,900,649,800,282,502,564,649,282,502,214,503,504,800,503,500,501,501,107,800,649,800,735,503,649,500,649,800,800,502,503,649,548,863,500,502,800,502,16,503,500,436,501,502,282,227,502,503,800,800,500,282,501,503,503,502,800,107,502,503,800,503,502,503,502,503,800,800,500,501,502,435,800,800,649,800,282,502,501,503,501,502,501,502,503,800,501,502,800,800,500,503,503,501,500,500,503,800,26,800,503,680,282,501,500,898,500,501,502,503,800,274,16,501,500,500,282,718,800,16,501,905,503,153,500,500,501,503,282,502,502,31,500,502,649,500,800,503,504,502,934,800,800,977,282,503,115,501,800,501,502,385,503,649,282,23,16,503,16,501,873,502,649,504,365,503,502,649,649,800,502,800,649,282,503,800,503,282,800,503,503,74,501,649,867,502,501,318,502,16,800,503,403,500,16,501,954,16,500,800,593,225,649,649,500,800,107,800,649,649,500,502,501,502,649,282,503,504,649,282,503,800,500,16,502,649,503,502,16,501,500,502,16,800,800,500,649,501,800,705,800,503,501,800,374,800,502,500,501,500,501,500,502,496,502,501,501,649,16,16,649,649,502,502,500,501,800,103,502,649,282,503,649,502,502,649,282,502,502,649,649,16,536,503,502,103,500,502,500,500,500,259,282,649,500,504,282,503,398,800,649,935,503,282,649,282,503,501,503,502,879,800,503,500,130,503,503,800,649,500,501,501,503,500,500,502,501,16,474,502,502,649,649,800,503,503,500,503,649,502,503,282,16,763,501,282,118,500,282,16,526,501,282,502,649,649,503,501,501,594,800,831,16,107,800,500,502,800,500,502,502,500,502,502,705,649,800,800,502,502,500,595,502,649,800,500,16,501,500,503,800,503,500,649,502,500,501,282,501,501,649,502,502,16,800,500,501,500,412,503,502,501,501,16,800,282,282,502,502,800,503,800,649,427,649,16,649,649,369,747,500,503,503,103,503,500,503,503,282,502,502,503,957,649,504,500,500,282,502,800,807,503,491,649,800,145,500,757,5,501,500,800,503,500,503,503,500,308,503,500,500,649,745,800,501,503,500,502,503,502,649,649,501,800,503,649,500,500,502,469,800,500,504,649,282,649,503,254,282,504,779,502,800,501,503,282,422,800,649,503,649,282,500,800,800,504,502,800,649,501,503,649,500,502,16,282,649,649,503,502,502,502,502,500,503,282,502,502,107,282,368,800,16,800,500,502,282,501,503,500,502,500,800,649,501,282,800,501,503,502,502,649,121,189,503,649,503,502,16,500,502,800,503,502,501,282,800,649,800,502,800,503,503,594,502,284,503,502,500,500,503,521,503,500,282,16,800,501,800,800,533,649,503,503,649,826,503,5,800,502,500,774,500,502,500,503,500,800,390,501,501,502,800,501,500,503,649,649,500,501,649,503,334,282,500,16,649,928,503,503,800,649,500,502,649,800,501,571,500,365,800,502,503,501,503,649,502,500,503,798,323,800,500,107,501,502,597,282,502,649,649,503,855,282,800,649,503,503,890,885,503,800,502,282,282,502,502,282,500,649,500,500,418,503,800,800,649,16,800,503,393,575,503,800,502,503,501,800,649,649,502,649,502,649,500,649,282,764,649,501,500,503,649,503,501,503,625,637,649,501,503,500,649,503,500,500,649,501,282,500,637,212,410,500,295,503,897,501,501,503,282,503,501,282,518,501,16,501,728,500,503,502,649,500,501,502,502,103,649,504,502,800,800,502,502,502,800,502,649,500,800,282,649,500,503,503,503,34,649,649,800,503,800,16,501,500,500,502,424,649,800,500,503,504,503,503,501,500,501,502,501,500,502,502,282,16,649,800,649,800,282,500,800,800,500,103,800,282,282,282,421,800,501,504,501,802,500,502,16,500,500,501,502,166,501,649,502,502,503,503,502,503,649,500,800,800,502,841,282,125,501,508,503,713,502,16,800,16,503,500,502,800,800,800,282,649,649,649,282,649,502,503,649,500,500,502,705,800,800,503,674,800,800,282,502,490,16,874,492,475,185,500,502,500,501,501,597,502,503,282,502,649,503,503,282,800,649,649,282,581,502,502,569,502,502,502,282,823,649,800,282,502,502,649,502,500,502,800,502,649,649,502,800,503,501,649,800,649,964,502,502,503,282,800,503,503,504,649,504,103,800,649,16,96,501,879,282,87,503,473,282,501,502,649,501,503,502,800,282,500,282,800,501,649,16,800,16,501,500,502,649,502,503,649,800,500,649,420,784,500,708,501,800,504,649,800,586,649,501,151,501,502,101,649,501,307,649,504,282,500,300,649,800,800,503,649,503,503,282,502,502,500,919,800,800,502,501,777,500,649,503,969,649,525,649,282,649,800,502,503,501,103,645,800,16,500,503,800,282,282,282,649,502,502,282,501,282,501,504,649,501,604,649,891,500,501,800,504,501,501,800,504,649,649,800,282,282,503,282,16,503,649,107,500,503,800,502,800,800,502,501,502,503,965,502,501,502,500,503,800,649,800,501,649,282,527,930,800,800,649,501,500,800,501,649,501,501,107,649,502,78,800,500,649,502,800,997,783,500,604,504,16,502,500,282,800,282,500,642,800,500,649,502,800,128,500,502,800,649,501,501,501,500,503,16,314,667,502,119,649,503,500,503,502,503,953,502,501,649,502,500,283,503,800,649,800,501,649,356,800,282,956,770,501,649,501,502,503,282,690,503,500,504,800,502,98,500,500,282,282,503,501,649,537,503,501,501,282,503,649,502,115,308,502,279,503,219,107,800,503,503,56,800,649,500,800,294,282,500,705,504,282,16,198,282,107,649,649,649,31,501,237,503,800,501,501,501,800,500,16,500,649,881,502,282,500,502,502,800,503,501,500,649,345,502,500,282,649,500,502,365,282,107,502,136,107,503,800,501,502,501,282,500,501,500,504,282,649,501,649,500,504,16,282,500,282,16,501,649,282,501,502,649,501,649,295,800,500,504,503,500,16,503,500,800,501,800,16,800,503,800,500,501,500,502,649,649,649,502,577,501,800,504,508,503,503,816,503,504,962,803,649,504,107,501,800,800,420,282,800,502,502,504,503,800,800,103,282,800,282,503,282,500,501,282,500,500,500,500,502,502,649,502,649,502,107,176,503,16,500,501,503,800,502,503,502,500,171,502,504,649,501,503,189,649,503,62,812,502,649,649,800,501,800,502,503,282,795,503,800,212,800,503,502,501,500,649,503,649,501,500,282,502,649,59,649,502,649,502,800,500,502,470,16,503,282,500,500,649,504,501,501,649,500,500,649,649,503,502,800,800,500,649,501,674,649,139,800,503,282,503,282,649,504,503,500,556,800,800,800,500,165,501,800,313,16,591,500,964,649,500,500,982,503,649,16,800,16,502,800,500,503,503,649,500,501,800,501,649,503,501,500,502,932,282,282,503,502,503,500,649,649,503,485,649,649,502,502,282,500,800,16,501,966,649,500,649,503,503,800,502,501,299,504,502,649,501,500,500,649,81,501,282,500,503,501,27,501,16,167,174,503,500,818,781,393,282,503,502,502,442,501,649,2,502,800,500,500,217,649,502,502,503,502,800,800,502,705,501,501,504,500,746,649,503,503,649,501,800,500,500,503,502,500,152,800,503,502,501,501,282,800,501,504,503,501,502,282,800,502,800,226,282,783,649,282,408,649,502,501,107,501,503,502,320,501,501,649,16,282,649,800,501,282,501,16,502,705,504,502,800,501,649,107,501,502,800,500,800,655,16,503,503,502,283,649,503,16,502,501,904,503,754,501,501,500,502,282,502,504,800,800,282,503,501,500,830,649,500,107,649,500,502,503,282,282,500,501,16,282,500,282,502,282,807,500,502,500,592,500,501,501,502,79,502,565,502,800,649,503,835,649,500,695,501,500,502,504,315,793,501,500,500,282,500,502,501,502,502,800,504,501,400,501,501,500,16,503,500,502,800,800,16,503,697,500,503,800,649,282,897,500,501,504,5,495,501,621,501,502,501,282,500,500,503,500,943,412,502,282,501,986,501,817,503,800,282,800,501,649,501,800,277,649,58,504,649,503,501,500,649,500,16,282,282,500,503,503,500,500,500,282,107,501,649,500,502,43,649,16,649,500,504,26,501,503,501,800,849,16,16,367,247,172,502,282,500,797,501,501,501,501,501,807,800,649,282,500,501,282,800,942,649,671,800,502,500,16,501,438,503,500,800,501,500,254,649,800,107,287,364,501,800,501,501,282,500,800,503,464,16,500,800,503,503,411,974,504,501,800,502,500,705,715,504,800,649,162,501,800,502,502,504,502,503,800,502,373,649,502,971,800,502,867,282,500,502,649,989,503,800,502,282,501,800,503,503,800,503,649,988,649,649,500,649,16,500,503,649,503,103,501,174,500,502,501,503,503,500,800,649,800,543,366,649,800,282,800,649,800,800,502,800,16,800,701,144,503,502,500,500,400,502,503,800,925,502,504,653,501,503,800,502,649,649,610,501,503,262,649,492,800,285,251,649,502,800,502,502,500,502,75,282,502,501,44,649,503,502,503,500,649,501,282,16,503,500,162,500,800,800,501,282,649,649,704,649,500,504,800,800,16,649,503,501,16,649,800,501,969,800,503,501,800,474,800,503,282,649,649,501,501,649,107,321,224,502,800,501,800,800,500,501,501,504,649,503,649,649,16,501,502,482,16,649,500,16,500,502,314,503,282,501,724,256,503,193,503,282,447,800,503,501,800,502,282,501,503,911,684,800,500,500,800,500,501,786,502,502,16,502,500,16,500,503,389,501,800,800,800,500,502,501,500,282,649,500,649,282,503,800,56,503,501,618,503,503,282,502,503,800,502,500,500,282,502,502,101,502,502,800,800,502,502,103,649,500,502,107,500,754,800,236,500,502,800,282,501,282,500,502,649,107,501,338,504,503,500,503,501,500,107,503,501,502,107,503,72,500,503,500,800,502,501,502,282,282,649,503,800,503,500,503,649,503,282,502,649,282,503,425,916,766,500,501,500,502,16,503,649,800,639,503,649,800,500,503,500,800,282,503,500,941,502,503,503,649,649,800,500,502,500,973,500,502,697,649,107,500,800,282,282,500,797,503,282,649,503,649,500,800,282,500,502,16,500,502,501,25,749,423,503,502,649,503,633,112,649,503,501,800,502,500,649,502,501,758,649,503,282,800,649,502,502,800,506,649,649,502,649,800,503,649,103,501,501,500,808,800,503,501,502,503,502,500,282,500,503,501,649,101,597,501,800,502,503,501,503,800,500,503,503,502,503,141,501,503,282,501,501,800,800,500,500,501,500,16,500,502,500,502,502,800,282,800,503,282,649,502,479,501,501,649,501,649,501,649,503,500,503,581,530,500,282,502,504,500,800,502,800,503,503,800,282,500,504,649,177,800,501,800,503,501,800,502,500,85,500,649,16,503,503,501,649,503,649,501,504,503,800,500,501,107,501,344,16,503,649,649,503,502,424,192,502,669,501,800,388,800,502,503,503,502,500,165,502,800,500,501,914,649,282,649,500,649,282,800,501,501,502,502,501,649,503,503,800,502,282,502,649,503,501,500,503,649,501,649,502,502,501,500,503,800,649,501,503,822,502,503,598,16,649,282,282,501,1,503,501,502,500,800,800,503,113,649,871,502,282,501,318,503,649,504,282,107,501,502,995,503,649,649,649,501,503,282,280,502,500,973,502,800,800,500,649,649,354,503,500,728,503,16,282,107,562,649,649,502,503,649,800,503,502,502,504,282,501,107,501,16,649,500,649,174,282,109,800,800,649,503,502,500,324,649,800,649,649,501,500,800,503,502,501,502,800,649,501,282,298,649,503,503,807,501,282,282,537,500,502,501,800,649,500,282,800,800,501,500,502,500,500,172,649,107,503,502,502,800,800,503,501,502,504,501,649,282,502,503,500,503,312,282,500,503,500,500,800,649,502,501,800,503,500,800,502,800,500,500,282,502,501,503,800,500,800,16,649,500,500,649,502,500,501,502,501,503,800,502,436,282,504,502,800,282,502,800,649,501,502,307,649,800,500,502,800,500,500,502,800,159,500,501,282,501,502,649,107,705,649,502,800,800,339,282,502,500,501,649,501,500,16,800,218,501,800,649,500,806,649,649,282,500,502,503,503,500,501,503,502,503,503,282,502,501,503,800,649,502,500,501,502,800,503,503,648,901,502,501,501,571,503,800,649,502,881,501,649,500,282,500,500,649,501,502,649,501,503,16,504,501,503,503,649,502,503,282,800,282,561,282,501,503,500,502,503,16,649,501,502,500,649,1,501,649,75,502,500,501,503,500,503,103,502,282,502,501,500,502,501,649,500,322,503,503,649,45,484,500,501,503,465,501,502,649,800,501,831,649,501,504,118,649,282,500,501,282,104,549,502,502,649,501,500,407,501,6,649,282,503,501,501,503,503,502,502,649,501,282,649,649,379,649,568,282,503,282,503,16,500,800,649,501,501,500,282,501,501,504,502,503,503,800,649,649,907,649,503,800,500,889,649,649,500,500,174,649,501,649,146,786,501,800,282,16,504,102,800,501,501,503,502,503,501,649,649,501,800,500,282,500,649,800,503,501,13,800,103,501,649,500,500,649,649,502,800,503,16,800,800,16,502,500,800,800,500,502,282,649,725,89,502,504,940,16,800,502,282,800,500,800,282,501,800,649,500,500,649,87,503,500,394,279,800,649,502,448,501,800,504,502,503,282,800,501,502,501,503,503,501,500,503,500,501,282,501,649,649,500,504,879,800,3,500,649,501,502,16,282,502,649,502,500,501,503,649,33,26,502,500,649,649,649,500,495,500,500,758,500,649,501,800,649,503,800,909,800,649,503,107,501,282,282,502,500,502,16,501,649,501,352,800,649,151,503,282,840,504,501,282,502,634,503,502,503,282,941,800,503,502,502,501,503,500,649,800,500,501,501,800,503,800,282,282,503,800,501,673,16,303,649,649,16,800,501,800,501,16,510,500,800,500,501,893,502,501,800,500,500,16,501,503,800,800,502,649,282,500,500,502,282,800,649,800,687,503,502,502,501,649,649,501,649,282,16,16,500,501,500,649,938,800,503,800,649,649,800,715,649,504,649,500,527,502,800,503,458,501,547,501,800,282,502,107,154,501,503,649,457,282,282,501,500,800,903,282,501,500,501,649,501,800,931,500,997,649,107,504,503,500,500,501,500,500,501,649,16,501,282,501,500,649,503,649,501,501,501,500,503,503,503,586,501,503,282,503,500,746,649,800,502,800,503,649,649,500,500,649,649,342,800,902,800,502,501,501,503,501,649,504,800,107,649,649,800,501,282,172,204,282,501,500,500,502,502,800,501,503,51,500,501,282,800,649,800,503,502,500,282,282,649,503,855,500,800,800,807,502,503,800,500,501,501,503,501,501,794,782,500,16,16,503,863,649,649,649,503,502,800,808,649,800,649,500,363,503,649,501,501,501,800,800,500,282,501,501,800,502,502,800,729,502,502,282,282,489,800,500,649,649,501,500,282,515,107,502,800,136,501,282,282,942,800,649,696,860,500,501,649,649,16,503,500,671,501,705,649,800,501,649,502,502,800,503,502,503,502,502,16,503,503,500,430,503,649,502,800,500,502,503,503,649,800,503,503,503,800,16,501,503,554,503,501,500,649,649,282,503,503,800,503,800,501,892,649,314,388,16,504,282,107,800,500,503,503,502,501,649,649,282,800,210,501,800,800,800,502,503,502,282,649,500,502,800,242,472,282,651,282,502,282,502,282,800,503,504,800,503,541,649,220,500,502,502,502,502,668,502,502,800,800,504,502,503,500,649,261,800,238,500,503,502,503,800,501,500,503,800,800,502,800,503,282,649,502,500,500,500,649,785,800,237,501,282,800,649,800,502,649,503,560,649,807,282,502,502,686,649,800,501,503,649,649,503,500,557,501,567,905,503,502,800,501,502,501,500,800,501,800,360,500,588,282,649,649,649,500,502,500,800,502,503,649,282,282,649,502,502,503,649,500,649,503,502,500,16,502,501,107,649,282,800,800,502,807,282,503,503,800,107,649,820,500,800,503,502,500,282,800,503,503,656,502,491,500,501,282,501,649,800,500,500,205,152,852,800,800,314,649,800,604,988,946,282,502,500,504,501,649,502,282,649,170,503,282,282,503,800,500,800,800,500,500,800,649,503,107,503,500,502,800,282,282,502,243,503,503,502,503,501,800,501,800,649,501,501,783,683,282,800,502,501,501,500,502,649,704,834,861,649,501,503,501,501,385,501,501,500,91,501,672,800,503,500,304,649,502,502,800,503,503,282,125,502,503,705,16,800,472,450,501,503,502,164,107,282,800,800,500,502,503,374,502,500,500,800,764,654,502,16,282,107,503,503,800,282,660,501,500,502,282,282,800,500,547,502,503,534,135,16,503,500,501,502,501,282,500,501,503,500,16,501,800,649,649,282,504,16,502,649,888,649,502,503,800,649,649,649,649,502,501,502,503,800,800,503,500,501,501,649,502,949,501,16,800,411,649,16,800,649,502,107,800,500,502,502,282,500,501,800,649,501,501,503,800,649,800,353,884,502,16,502,408,500,503,649,501,500,500,502,502,800,849,500,503,649,502,649,800,800,501,502,800,500,649,282,500,502,649,502,649,800,503,502,501,649,696,282,501,501,282,16,501,800,502,282,502,503,500,282,280,800,500,649,503,500,649,649,502,282,800,282,504,502,446,800,800,800,503,401,502,800,649,501,282,800,800,500,502,282,892,501,16,649,649,800,800,501,800,800,105,448,649,503,649,502,827,46,500,282,501,116,501,501,503,503,15,57,500,502,643,750,500,800,503,501,552,501,800,649,649,503,800,282,800,800,800,282,503,503,501,998,282,282,500,501,68,800,649,16,649,227,501,503,503,500,932,502,501,500,501,502,502,649,800,649,502,502,649,500,501,282,502,907,228,282,502,680,399,503,800,282,649,500,503,800,649,501,503,500,282,501,649,282,282,282,502,800,282,407,282,503,891,503,503,500,16,500,649,501,946,273,282,649,649,500,16,16,500,16,649,705,500,649,500,448,649,649,501,501,800,503,265,649,500,503,502,503,800,485,649,677,502,649,502,503,103,649,502,807,649,800,800,495,501,800,323,502,846,649,501,501,649,500,503,503,500,501,347,501,282,564,649,649,649,142,500,649,503,667,282,502,282,282,502,132,502,16,503,649,690,107,282,501,502,800,502,16,503,649,719,503,503,649,800,501,282,800,649,502,500,800,649,500,503,500,500,649,623,501,282,649,500,501,501,282,502,282,649,39,800,502,282,760,569,800,503,503,107,500,800,16,782,503,503,800,502,800,500,501,222,500,500,502,500,127,282,16,502,503,649,503,501,503,504,500,800,800,103,340,501,73,502,503,800,502,503,649,500,155,501,269,800,503,649,500,501,502,282,843,502,649,501,649,503,649,800,503,503,501,800,501,800,800,501,503,356,503,502,16,649,500,503,146,800,500,503,800,282,649,784,107,800,500,500,107,649,649,800,501,503,282,755,107,649,500,503,282,800,501,649,800,503,649,503,501,800,500,503,800,500,799,800,800,674,500,34,649,800,887,649,401,503,503,501,800,500,282,504,501,761,502,282,500,502,956,500,502,282,501,649,649,16,503,649,503,800,282,352,500,649,800,501,500,649,503,199,282,501,501,763,502,502,500,16,501,649,869,502,502,501,501,500,503,502,501,502,502,16,649,544,502,501,985,502,502,433,502,500,88,500,501,649,503,649,437,800,502,800,501,282,282,501,566,269,503,800,501,282,501,649,649,649,800,16,649,500,501,263,282,649,501,501,500,81,501,502,503,502,649,633,800,282,503,500,502,503,649,800,301,282,502,649,649,503,16,800,103,503,500,502,649,502,16,501,233,504,58,500,502,649,500,282,282,503,501,16,500,503,800,279,869,649,500,649,502,501,280,649,500,501,500,649,501,502,800,649,325,732,649,649,649,800,504,282,503,502,800,504,16,501,800,500,649,458,500,500,56,502,500,282,649,502,16,500,88,649,649,625,502,649,649,502,16,502,535,800,16,503,800,800,503,649,282,419,500,501,503,503,503,649,501,800,649,282,800,182,107,223,282,800,649,800,504,649,501,503,503,167,504,503,800,649,501,649,649,649,500,800,652,503,800,500,525,800,16,501,500,800,500,800,502,503,503,282,502,502,649,649,501,800,502,503,800,504,649,501,800,649,501,800,503,649,500,526,107,501,501,169,503,800,502,100,504,800,503,805,99,800,800,502,800,649,117,16,800,500,502,500,502,208,503,500,107,169,502,501,504,282,502,502,501,282,972,181,501,503,501,968,502,500,502,503,503,501,500,649,16,504,649,502,500,649,500,500,800,501,649,16,500,500,103,282,649,502,800,49,501,500,800,282,500,503,501,500,16,177,649,502,800,16,501,282,800,501,224,136,501,502,649,502,503,800,380,501,501,282,649,502,503,800,503,16,909,501,649,649,800,502,502,649,641,503,717,500,503,705,767,503,800,504,502,649,800,649,649,800,800,502,502,501,503,649,500,502,501,503,133,954,503,800,649,501,649,252,504,151,500,500,800,800,800,649,502,502,282,501,500,649,800,503,724,807,436,501,502,503,649,504,282,707,501,501,282,800,502,649,649,649,503,981,16,649,800,800,16,501,649,107,564,792,501,103,500,387,503,31,503,649,501,689,649,500,107,502,649,500,800,800,503,500,504,666,800,282,282,649,649,800,649,282,386,502,500,800,282,502,501,282,501,352,504,800,800,649,800,500,537,502,800,800,502,501,800,649,800,402,500,16,649,502,500,500,503,107,503,988,501,801,500,500,503,800,500,501,649,742,502,500,649,800,800,282,800,965,282,501,596,501,501,649,504,800,503,16,16,500,800,555,800,282,501,649,649,501,501,502,501,501,501,16,501,501,502,501,502,503,649,501,800,315,807,282,800,282,501,282,282,282,501,502,800,16,504,501,16,754,500,800,501,649,502,500,800,501,949,649,502,800,800,503,501,649,503,107,502,649,800,504,649,502,800,503,500,282,649,649,282,649,500,503,67,501,586,501,501,800,649,500,502,501,503,107,502,811,800,282,501,649,500,442,503,649,503,500,649,501,501,500,503,800,500,504,282,649,282,503,500,501,975,504,616,800,502,502,649,500,502,649,649,504,866,500,649,502,501,503,501,959,800,502,800,501,503,286,503,500,800,16,503,649,800,649,800,503,503,888,502,282,649,501,274,618,282,16,479,649,500,501,502,500,282,502,800,570,282,649,503,503,16,501,557,501,705,502,800,800,503,649,649,502,503,504,502,500,800,16,800,502,16,502,649,800,800,502,654,502,649,635,502,502,501,504,282,500,502,503,503,503,417,649,800,502,503,501,500,502,800,282,800,500,502,649,800,500,16,800,952,500,503,805,501,501,529,649,300,705,502,649,800,503,502,503,800,800,649,16,599,500,501,107,503,504,503,500,503,800,503,503,649,649,289,502,500,649,800,503,501,500,501,501,502,501,502,504,501,649,282,481,504,688,500,282,501,501,972,649,500,800,16,503,649,800,503,852,800,649,500,501,502,501,503,649,502,800,503,147,503,502,482,502,282,828,502,502,649,800,501,800,670,16,502,500,282,502,282,503,98,649,502,501,501,282,103,649,649,503,501,500,502,800,16,282,649,649,649,649,501,649,800,380,649,501,503,500,502,501,501,649,503,503,503,501,501,500,800,500,756,745,800,500,502,502,649,16,800,500,282,455,500,501,501,800,649,282,282,500,649,501,503,800,649,502,500,500,500,501,503,502,107,649,503,800,232,800,502,502,500,500,800,649,501,800,504,562,282,502,507,500,503,949,500,649,800,501,379,649,868,343,649,800,800,500,282,649,649,502,649,501,503,827,722,500,16,694,501,107,502,503,649,282,500,282,500,133,649,502,503,503,502,502,649,844,800,500,800,649,16,501,500,503,502,502,500,635,502,504,211,503,803,598,866,502,501,503,800,503,504,467,500,501,649,500,502,500,500,501,500,800,500,500,502,500,800,800,649,502,800,380,503,705,501,502,503,500,800,649,501,107,649,503,502,800,504,502,282,500,503,158,500,502,649,800,502,16,503,654,800,502,502,503,501,501,503,382,693,203,503,649,503,501,501,503,500,649,501,503,800,16,282,447,503,800,502,503,501,800,282,500,500,16,500,500,276,500,503,397,503,800,288,500,502,748,800,501,800,501,807,649,649,16,649,501,500,501,282,501,503,16,282,649,500,500,800,312,503,800,500,503,502,649,649,649,282,649,49,800,666,500,502,800,16,255,501,16,502,800,800,800,500,13,16,649,649,500,502,501,502,503,742,502,107,696,649,503,500,629,649,649,503,500,504,649,800,500,282,800,501,501,800,504,500,502,501,282,503,282,502,649,503,107,800,503,649,501,16,500,649,503,649,503,502,500,282,222,649,503,501,800,502,649,503,257,649,206,501,593,503,500,502,649,800,501,503,504,16,800,502,289,725,800,501,503,500,503,500,564,500,649,500,501,503,649,204,501,518,500,282,16,501,353,503,502,800,34,800,27,503,503,503,503,503,800,501,503,500,929,800,282,501,503,503,503,501,502,282,502,503,501,500,503,885,502,501,483,500,16,16,693,53,282,649,503,649,649,649,503,503,502,501,107,503,500,649,849,282,800,649,800,503,800,16,800,649,502,649,430,649,800,936,16,500,911,729,501,812,503,500,502,501,504,500,649,800,551,800,503,264,500,502,502,800,133,807,500,800,649,500,501,103,501,800,502,500,500,282,800,501,103,905,609,501,60,649,16,501,649,16,649,502,500,500,649,282,501,282,800,822,800,800,500,503,501,902,308,500,501,502,503,500,800,800,282,649,500,800,501,502,649,800,649,501,502,501,502,282,649,403,282,800,501,500,800,584,500,503,503,649,503,800,503,800,103,107,500,501,282,502,503,500,649,282,800,282,649,649,503,503,800,503,500,501,503,501,502,107,800,494,503,501,264,500,501,500,117,500,501,500,649,649,503,800,282,501,501,16,501,800,500,649,649,504,107,282,502,282,649,501,282,282,649,800,124,501,503,511,282,649,649,500,503,502,504,503,502,502,279,503,107,107,502,501,503,503,502,501,503,503,657,503,500,500,16,503,501,503,501,500,501,649,650,501,502,503,800,502,502,576,705,82,563,501,503,503,649,282,503,16,800,800,649,282,882,16,282,918,501,501,800,800,500,500,649,800,906,800,282,282,502,800,800,649,502,16,974,503,282,282,501,705,800,800,800,255,16,525,649,649,501,502,502,146,819,800,501,502,649,502,282,649,1,502,503,503,637,282,649,323,107,649,800,503,282,502,501,505,504,649,501,501,503,503,800,503,649,502,868,649,500,39,502,502,502,501,755,501,649,502,501,503,649,649,501,503,800,501,282,800,500,500,800,800,500,503,500,503,800,192,502,800,502,282,502,502,800,501,503,503,800,16,16,649,501,503,302,137,800,502,800,649,786,500,502,503,501,800,649,282,16,16,282,503,502,800,282,16,649,500,501,500,503,649,501,649,501,800,501,649,500,708,800,800,502,501,501,800,501,503,500,317,800,501,500,649,500,502,649,503,501,282,500,16,800,502,800,353,504,595,800,500,500,504,504,501,500,800,775,16,501,335,876,502,503,503,501,649,502,649,16,649,800,501,503,503,502,649,107,503,411,501,501,501,503,649,648,742,500,245,501,502,649,16,501,800,649,500,282,503,502,501,282,800,503,500,800,107,16,649,649,800,800,282,800,649,501,649,503,501,577,282,503,800,649,503,884,800,845,503,16,500,282,696,503,501,800,500,800,503,282,800,504,235,482,282,501,16,800,501,501,501,800,649,500,502,502,504,500,501,800,800,16,501,649,502,800,503,649,16,500,500,649,500,245,107,237,502,501,649,659,503,649,500,500,574,501,800,649,503,469,800,500,800,503,503,282,501,503,649,501,800,504,16,500,800,500,98,649,282,649,395,800,501,503,652,16,16,649,282,649,502,503,800,735,228,503,501,503,55,501,800,501,426,503,500,501,500,503,503,282,501,503,912,800,504,506,503,282,609,649,800,502,649,649,16,502,695,482,98,649,503,800,800,500,500,503,501,502,649,649,502,500,502,282,649,500,502,705,502,649,500,800,501,503,503,502,352,502,800,569,501,800,501,574,500,502,502,502,502,649,800,501,800,800,649,503,800,501,649,500,282,502,503,800,800,649,503,800,800,501,503,649,502,422,503,649,956,45,501,501,500,16,800,800,649,501,500,500,16,503,501,503,503,800,107,281,196,649,649,649,501,800,500,282,800,502,503,107,503,649,501,172,800,502,503,800,604,649,502,16,649,375,501,501,501,282,800,800,500,192,107,502,649,504,16,500,502,503,23,502,502,504,604,503,503,503,503,500,649,131,500,800,800,649,84,500,503,500,800,504,503,16,799,649,649,501,800,800,282,503,16,649,16,981,501,16,138,503,502,501,649,503,647,502,501,501,502,501,501,803,800,503,485,299,432,501,504,503,500,649,282,800,502,800,500,282,502,500,800,502,724,800,800,503,503,500,503,800,503,503,282,282,407,502,16,5,854,501,800,649,502,502,649,501,282,282,16,502,273,389,502,800,500,503,503,919,503,500,800,522,502,504,503,500,500,502,501,502,800,197,503,503,501,501,800,800,649,500,649,502,649,400,502,392,503,502,649,501,502,282,501,503,590,649,107,503,131,16,502,376,504,500,500,800,282,649,501,16,500,649,649,503,649,501,800,800,800,500,503,502,649,124,282,282,649,800,503,500,503,503,800,501,501,503,502,503,800,649,800,504,503,103,150,705,800,31,502,16,800,502,500,500,500,800,649,502,437,500,800,282,649,503,649,501,800,669,649,503,282,16,136,649,503,16,436,282,500,649,604,500,649,800,502,649,282,502,160,500,500,47,500,501,502,590,649,501,500,800,649,282,800,649,502,282,502,16,503,502,501,504,503,500,500,504,649,800,502,483,163,419,503,649,503,282,502,503,502,649,328,501,503,500,800,649,503,501,502,800,504,282,502,502,649,500,393,501,649,502,107,502,504,649,800,500,500,502,500,501,500,503,503,649,500,501,649,800,502,649,503,350,800,501,501,501,103,502,366,502,502,16,500,958,502,282,500,604,502,501,501,29,502,800,103,500,282,500,501,500,500,16,649,501,502,800,649,500,800,502,649,503,501,629,500,649,501,282,500,649,501,800,282,500,282,502,501,649,501,503,503,800,500,500,503,503,871,503,502,500,649,721,800,502,800,282,800,800,500,800,500,502,467,16,502,500,282,445,800,742,800,556,800,282,800,649,502,556,501,501,282,502,800,502,16,500,500,501,800,649,800,503,282,502,980,705,503,306,503,503,649,800,719,502,501,502,500,649,649,501,500,502,502,16,502,503,16,282,500,500,649,800,800,500,501,282,16,502,16,501,502,500,282,649,501,503,781,649,16,500,282,649,500,431,649,649,503,500,103,501,705,649,800,800,501,649,500,282,649,503,502,800,503,800,649,800,501,502,501,501,501,502,502,503,501,649,500,502,501,501,800,800,501,97,282,529,503,107,502,800,649,501,800,649,500,503,926,649,502,503,500,800,500,500,503,501,649,501,503,503,359,500,800,649,500,503,502,501,501,16,649,502,502,993,501,501,502,800,502,944,503,282,501,800,800,282,503,504,501,504,503,501,502,500,800,502,800,649,103,665,282,649,500,503,501,501,800,232,649,503,649,503,503,800,500,78,282,501,800,800,502,800,501,501,501,501,502,502,502,649,649,500,502,705,800,503,53,501,503,649,503,800,503,800,282,501,16,800,502,649,649,16,501,500,503,502,800,502,500,649,500,240,337,502,649,502,502,502,500,800,500,500,800,502,800,503,649,807,800,934,569,16,800,500,502,502,502,694,500,16,503,800,107,501,502,503,502,500,501,481,503,503,282,800,107,502,501,500,503,501,503,649,452,500,503,16,649,501,649,502,800,649,502,282,501,649,500,502,503,502,502,800,649,12,649,500,503,501,800,282,502,800,501,500,800,503,649,800,282,500,127,501,800,501,649,501,800,282,913,502,500,502,504,16,429,649,282,649,282,502,502,501,842,800,501,501,282,649,649,502,800,282,502,282,905,501,282,282,503,500,501,500,800,502,500,501,503,502,649,501,800,800,501,800,649,442,282,118,503,501,502,282,705,212,501,500,705,16,502,151,800,502,649,282,500,500,800,16,503,501,649,880,16,649,503,504,504,502,501,649,282,500,800,500,649,502,500,501,649,500,500,800,504,988,503,649,282,500,500,501,282,282,649,502,649,649,800,502,501,502,502,502,800,282,501,649,503,916,649,800,503,649,586,84,649,282,502,649,501,500,800,800,501,16,500,649,525,500,503,502,503,500,501,502,501,649,64,501,502,800,502,503,800,863,502,502,500,501,282,501,455,800,282,800,501,16,503,800,649,500,133,502,502,501,154,649,802,649,154,501,501,503,354,501,649,501,282,649,800,800,503,800,502,502,500,800,503,324,649,282,282,71,539,242,503,814,503,501,500,800,500,800,503,502,16,501,500,501,501,500,502,503,501,500,649,550,800,16,929,649,502,649,212,501,649,282,979,503,800,501,502,503,500,800,800,500,649,107,103,502,502,107,502,800,649,649,501,501,502,282,282,500,500,16,503,649,502,514,649,503,16,500,649,282,800,502,504,649,501,503,503,502,622,504,503,500,502,16,502,501,282,649,501,500,649,800,500,501,239,502,800,282,500,503,502,800,503,800,502,649,502,503,503,649,502,500,800,800,800,805,501,503,435,649,501,278,948,340,800,649,282,649,649,500,500,502,848,500,800,503,800,649,500,503,501,500,501,501,502,501,800,501,649,501,501,649,503,502,649,501,500,502,501,501,649,282,500,16,503,501,500,500,503,649,503,501,502,502,242,502,282,501,276,500,800,503,501,503,501,103,705,500,649,502,107,946,503,502,502,503,800,500,500,503,649,649,501,16,665,501,504,649,800,800,503,503,282,502,106,649,500,649,504,502,800,16,502,800,501,649,649,649,501,503,502,649,800,16,800,502,282,501,159,649,503,800,800,282,503,500,502,800,800,504,503,649,649,500,981,502,107,802,502,800,800,504,103,502,590,797,502,503,503,837,800,649,800,502,501,282,501,800,501,502,503,352,500,800,16,500,800,500,502,800,503,199,502,565,649,272,649,503,396,503,649,800,282,800,504,501,669,390,503,328,502,282,649,356,422,282,800,501,501,502,799,800,649,501,567,282,502,501,500,502,502,800,503,800,502,275,649,649,501,313,282,16,282,501,282,649,282,502,282,502,502,502,503,877,756,451,144,503,501,103,501,800,16,502,324,502,282,107,800,500,503,800,501,649,282,800,408,503,800,282,502,504,503,282,649,649,800,13,800,800,502,500,500,503,504,785,500,502,282,502,16,800,16,500,501,502,501,649,800,500,501,503,502,103,500,501,800,501,503,558,501,649,16,800,500,500,800,501,16,649,503,503,503,16,826,282,800,649,503,649,649,800,282,501,500,503,649,503,649,503,500,153,16,503,649,649,649,503,501,202,800,800,502,649,691,502,501,934,501,501,500,800,282,500,501,409,500,103,502,282,500,503,500,500,502,800,501,649,502,500,282,501,502,649,501,503,593,575,489,502,503,800,649,800,500,282,502,502,502,502,503,502,502,433,500,503,502,800,107,649,282,503,16,649,800,501,800,800,501,649,500,503,935,502,503,800,502,800,502,78,501,502,753,500,503,807,503,500,503,103,503,503,855,282,107,800,789,106,503,500,800,649,502,603,500,800,649,502,800,503,503,649,502,183,705,649,506,503,503,501,504,16,649,16,282,282,503,800,501,502,502,649,800,501,282,500,993,503,501,800,800,503,501,402,649,800,500,309,500,894,800,500,500,501,500,503,500,500,502,16,502,209,502,107,146,501,503,500,501,282,503,502,500,503,282,504,649,503,502,649,282,500,17,501,824,501,341,501,503,501,501,764,649,503,502,282,504,800,502,970,16,162,282,502,434,101,800,282,282,502,649,501,502,501,501,501,500,649,859,500,649,649,800,282,649,649,649,160,501,502,502,800,217,649,62,502,503,649,502,143,500,503,649,282,502,502,500,501,503,502,282,649,649,503,800,500,503,282,502,501,204,800,649,502,282,647,502,649,503,503,282,649,501,649,500,476,649,502,500,500,501,800,800,282,500,502,501,282,502,154,501,263,502,649,504,16,213,16,503,500,500,800,413,502,500,800,348,500,16,282,649,503,800,649,107,282,500,503,649,502,500,800,649,501,282,501,366,282,16,324,282,501,16,500,327,649,500,282,103,16,500,503,503,444,282,503,649,503,500,282,649,500,500,502,800,800,888,503,800,107,500,503,502,800,503,800,649,501,500,503,503,500,503,501,282,502,500,501,282,500,649,503,800,800,800,800,282,502,502,501,500,282,221,282,649,649,502,500,800,502,502,501,282,282,501,503,497,649,800,501,282,16,504,800,501,800,649,282,500,649,282,502,107,500,608,800,500,502,501,502,649,500,503,501,503,502,649,500,501,503,500,731,502,502,503,501,502,649,282,800,608,503,649,282,503,800,871,501,800,197,503,503,503,502,500,501,502,282,649,502,503,502,500,502,501,501,649,500,649,500,165,958,504,501,282,649,800,649,800,501,500,649,800,502,501,103,800,501,649,958,502,800,649,649,282,282,952,282,501,923,500,500,504,502,388,282,503,800,481,500,503,800,503,649,500,501,800,502,339,501,432,282,501,500,107,649,282,282,206,282,500,282,500,649,501,501,503,503,649,503,449,649,649,649,503,503,502,504,800,282,800,502,800,504,500,761,502,502,501,503,282,649,800,500,16,503,501,295,503,500,501,501,649,800,501,501,800,800,503,502,800,649,282,502,282,282,501,501,503,500,800,800,959,800,649,649,800,258,502,623,859,800,282,649,649,500,800,716,500,800,501,503,800,450,692,282,649,282,503,501,800,16,502,157,807,649,500,500,649,405,649,649,502,503,501,649,649,329,502,282,500,282,957,501,209,649,223,621,800,649,672,501,500,503,951,503,504,282,282,800,500,500,649,649,800,503,16,502,502,500,504,800,282,500,254,502,501,649,502,503,282,503,800,373,800,282,800,503,649,649,16,800,464,649,282,649,503,649,800,501,500,649,502,649,800,649,501,649,800,501,891,501,503,16,649,800,107,800,502,500,282,502,598,502,501,501,649,807,502,649,502,800,502,800,503,500,649,500,501,500,894,721,500,649,649,695,500,479,282,501,800,280,800,649,500,984,16,718,800,17,501,649,649,502,503,649,501,800,501,800,504,500,500,719,503,923,500,503,649,800,649,500,800,800,800,501,800,504,649,503,33,649,800,800,503,16,800,502,649,502,649,502,502,504,501,501,649,501,502,282,800,800,502,503,282,500,224,649,649,500,502,501,502,500,16,503,500,649,800,649,504,800,16,500,503,800,502,649,718,500,800,336,800,649,503,222,502,649,712,649,503,282,501,501,500,502,500,649,503,800,683,500,282,504,501,503,500,500,503,500,502,502,500,503,622,282,649,503,800,502,502,282,649,500,503,500,800,800,500,800,282,649,16,16,500,504,649,503,500,503,282,501,462,438,214,800,649,502,800,649,282,642,282,502,502,16,503,500,503,500,500,503,649,800,502,502,800,1000,500,282,282,649,800,902,503,282,501,974,800,282,800,944,800,500,500,16,503,503,503,649,503,446,414,500,503,501,500,503,236,502,649,500,190,500,649,800,649,649,501,16,649,501,363,800,501,742,649,502,502,500,501,500,948,800,500,122,706,800,282,85,501,500,501,282,649,16,501,501,501,501,16,800,282,800,500,456,649,800,649,502,502,800,502,16,503,502,502,649,250,649,500,649,649,501,282,282,500,970,500,16,649,503,503,800,671,16,503,800,502,500,502,503,500,503,649,800,93,649,282,500,502,77,502,54,502,500,649,503,503,502,800,16,649,649,501,800,314,503,500,649,282,501,500,800,500,282,800,800,5,502,649,16,800,500,503,384,503,308,701,503,502,649,503,501,16,503,504,247,800,502,800,504,503,800,649,649,503,500,840,16,501,649,502,501,800,501,384,501,800,393,500,800,264,282,515,501,16,649,800,502,502,282,16,500,649,503,582,649,501,800,503,649,92,800,800,800,649,502,784,85,293,107,282,503,501,800,503,754,800,282,503,668,501,983,503,943,603,503,500,649,500,500,500,500,800,500,503,326,502,16,800,501,58,600,500,500,588,649,16,500,649,500,503,501,502,500,649,649,174,502,800,501,502,730,501,501,500,500,649,502,503,800,649,503,649,649,500,501,502,502,16,500,437,502,594,503,649,503,502,504,500,502,649,282,649,800,500,502,501,501,503,502,800,649,282,800,501,504,501,112,800,502,502,502,647,500,502,180,502,800,282,649,500,500,500,16,107,502,503,501,800,800,649,502,16,500,649,503,500,16,503,501,500,502,16,226,649,649,649,503,649,500,800,629,800,501,501,503,502,501,282,876,282,502,501,282,145,503,504,800,107,503,800,282,649,282,649,649,503,282,649,500,500,503,503,463,501,16,503,503,502,500,649,649,593,649,649,282,282,503,502,800,642,103,649,500,501,800,649,502,800,800,503,800,151,649,500,649,800,503,800,800,778,800,501,500,501,502,501,500,648,500,973,503,502,501,502,649,502,502,503,649,649,500,500,503,649,649,282,243,800,500,649,649,282,16,504,503,503,649,649,500,500,800,503,503,502,500,503,649,649,501,503,800,282,282,502,649,870,500,282,649,500,800,502,503,649,501,800,649,503,840,501,501,699,503,53,501,501,649,649,501,500,500,100,107,800,502,685,800,501,103,501,649,504,649,502,502,502,501,649,800,502,500,94,649,16,134,878,649,800,649,503,282,504,282,500,16,685,500,502,282,500,501,282,800,800,800,502,607,282,500,800,649,502,501,649,800,506,649,502,16,649,790,503,282,649,988,500,501,649,800,16,501,501,503,504,800,500,501,501,513,585,800,649,649,500,649,800,389,502,649,501,501,500,260,504,531,649,649,649,502,649,16,753,503,649,502,649,16,503,800,501,502,649,649,379,501,503,442,503,501,501,501,502,501,16,800,649,500,502,800,504,501,800,980,110,502,649,800,16,164,501,16,649,502,282,800,995,649,966,247,502,649,16,279,800,501,503,500,501,500,500,502,139,16,500,503,649,500,500,800,501,500,649,500,501,282,502,501,502,500,502,500,501,501,502,282,886,16,282,847,282,500,649,377,800,502,503,500,500,824,501,649,16,800,503,503,800,503,107,501,501,989,500,500,800,503,500,282,502,502,500,500,501,649,800,768,16,16,503,501,504,501,800,712,800,501,734,649,502,282,501,501,501,16,500,500,503,501,500,800,16,500,501,502,500,500,503,502,16,800,502,500,503,500,500,503,665,378,649,500,55,800,800,501,800,500,501,807,502,503,501,800,649,502,282,502,502,800,501,16,503,800,500,500,501,502,800,501,639,500,800,282,649,500,800,502,503,920,502,800,649,501,503,282,501,503,503,282,503,502,501,282,502,501,503,649,282,502,649,501,800,500,800,649,800,502,990,282,503,503,800,800,649,28,649,502,501,649,800,282,800,500,16,500,503,800,501,501,649,500,501,172,649,503,699,501,500,800,503,501,103,503,500,503,649,649,307,500,107,555,800,649,503,503,800,800,501,150,649,500,501,649,800,649,419,649,503,282,649,95,282,502,500,649,503,712,282,500,504,500,504,800,502,649,504,500,501,500,503,501,649,503,502,649,501,503,649,502,577,649,800,500,500,502,649,107,500,500,503,103,312,567,502,766,501,805,209,800,738,501,800,800,502,800,500,649,502,503,501,649,649,649,282,16,503,25,649,800,800,769,649,500,768,649,161,503,649,649,500,501,816,800,503,800,500,800,649,835,503,800,500,503,800,649,269,502,946,859,501,502,500,874,16,800,800,503,501,800,502,503,500,16,618,800,509,16,16,954,501,807,502,800,502,500,500,500,528,800,282,503,500,800,501,501,502,502,649,503,500,502,500,502,503,502,501,502,501,501,502,800,500,800,503,649,500,282,500,503,188,282,502,503,800,502,502,502,800,501,503,502,649,500,433,649,800,16,118,501,282,500,282,985,939,500,501,500,764,502,28,502,504,501,282,500,800,649,502,502,103,502,502,649,503,502,503,503,503,502,800,503,807,501,501,943,502,503,800,649,502,501,502,500,500,649,501,649,16,501,649,500,271,501,800,501,939,66,641,800,649,502,953,406,502,649,282,16,649,500,16,282,500,500,502,800,649,800,503,800,649,500,501,500,502,500,500,127,87,800,81,649,504,800,800,800,919,800,16,500,649,501,762,282,500,501,500,502,502,649,16,800,500,618,649,649,502,800,502,282,501,103,501,799,453,502,501,436,649,649,282,282,649,800,800,502,282,501,800,502,800,649,502,551,16,800,500,282,649,800,502,503,649,282,501,502,16,800,12,502,503,844,282,500,649,501,503,800,503,834,503,800,501,800,16,500,502,800,649,107,649,500,500,800,131,649,502,649,501,501,500,800,800,502,233,500,502,504,143,500,500,800,435,501,504,503,800,501,649,800,504,800,500,502,502,702,596,501,501,880,649,503,501,800,282,746,649,404,282,503,503,640,107,584,282,501,502,500,503,649,649,503,800,503,503,649,500,649,502,500,500,502,503,502,16,502,500,649,16,501,649,649,852,649,800,502,800,800,503,800,649,282,649,500,500,502,502,502,649,502,649,500,800,649,282,503,501,501,238,501,649,103,296,500,474,503,501,502,345,16,800,503,500,500,501,699,500,500,501,501,502,800,649,500,503,800,649,978,282,800,649,649,282,503,501,501,501,503,751,800,500,649,800,503,649,500,649,500,503,649,501,501,500,501,800,282,649,800,209,426,828,628,502,501,282,503,16,649,503,514,502,800,800,502,502,649,403,649,500,282,501,503,503,500,282,503,513,282,503,282,390,888,500,800,396,504,649,501,800,504,502,503,649,500,399,500,800,503,500,501,649,503,334,649,503,649,611,501,502,800,503,800,282,107,502,501,882,115,504,500,749,502,282,800,255,503,501,501,800,502,501,500,502,502,500,501,649,800,504,800,500,171,500,800,503,500,649,500,501,501,223,502,305,502,42,501,501,697,800,862,501,800,503,649,501,649,800,500,500,972,502,502,503,501,16,649,282,501,649,800,500,282,503,800,503,501,800,800,282,503,503,107,502,800,282,649,282,502,500,500,432,503,501,500,862,686,649,500,503,282,503,502,503,649,107,800,599,800,800,501,503,500,649,282,649,800,16,16,306,502,503,649,800,649,800,800,506,502,649,502,501,501,500,501,501,503,800,649,501,500,503,649,800,333,500,234,800,800,500,503,503,388,500,484,500,500,502,503,649,502,501,500,800,500,501,503,800,500,649,502,503,512,503,502,501,503,503,649,16,501,649,503,16,503,649,888,693,16,501,500,501,501,649,649,282,501,501,649,800,503,649,490,503,502,86,649,501,800,503,649,282,928,500,501,282,103,502,649,503,282,649,503,501,103,575,649,282,502,502,501,649,503,800,503,16,800,282,502,501,50,800,282,500,502,501,502,500,501,800,649,649,282,16,138,502,500,502,649,502,502,500,537,500,16,500,500,504,800,500,282,503,649,16,501,502,800,501,501,501,800,501,853,649,649,103,502,503,649,107,649,503,503,500,504,649,503,282,784,501,501,502,649,502,800,501,643,100,800,107,800,500,501,500,767,413,282,504,800,502,500,503,500,800,501,500,502,501,282,800,649,150,500,282,500,502,800,649,282,503,282,503,307,649,16,503,16,500,282,502,500,501,503,503,282,282,282,503,800,800,800,649,282,503,800,502,800,800,500,502,800,282,501,800,649,800,209,649,419,548,800,800,501,503,502,800,800,501,103,800,800,500,501,291,502,501,500,502,980,502,500,800,501,500,503,4,102,716,503,800,800,502,800,282,501,280,503,282,501,282,503,501,502,502,502,501,503,503,107,282,502,570,500,503,800,502,501,503,501,800,503,649,649,501,500,502,503,403,800,383,501,503,503,502,501,502,107,503,717,500,500,502,500,501,502,501,800,608,800,613,502,503,502,282,649,503,501,16,5,502,503,800,501,649,616,800,502,16,501,503,205,503,594,800,500,501,501,800,800,502,800,501,649,218,502,503,500,501,502,16,500,362,503,500,502,800,501,492,501,649,500,501,500,501,800,503,501,503,503,800,502,501,500,502,235,649,501,500,126,800,282,649,649,502,649,282,501,649,504,503,889,500,502,502,649,147,502,501,649,800,500,16,800,502,503,501,501,649,500,800,503,800,500,500,111,501,282,503,501,501,16,505,800,501,501,502,503,501,319,282,649,493,16,502,800,399,503,502,189,503,500,500,502,503,615,800,800,503,503,800,957,800,107,649,800,503,713,500,503,800,16,501,800,503,501,432,503,503,500,503,501,500,282,800,502,501,501,649,649,720,502,502,16,500,649,800,500,649,649,502,649,16,501,747,500,649,500,503,502,766,649,486,502,500,103,503,649,800,708,500,282,501,649,760,282,503,800,500,93,649,501,502,800,649,649,187,649,500,502,252,873,502,329,800,503,501,502,500,501,800,500,501,800,501,500,103,282,649,501,500,649,800,503,503,107,16,502,649,500,282,649,501,502,502,501,500,800,649,501,500,501,500,501,501,16,500,282,503,500,500,282,500,800,800,502,500,500,502,649,282,503,800,927,501,500,800,501,282,501,503,503,800,503,800,282,262,155,501,649,282,500,649,769,503,649,501,501,649,282,800,800,649,501,503,502,501,875,503,502,915,800,649,649,503,649,500,503,100,503,649,501,500,367,503,649,500,649,500,649,134,11,649,502,800,649,501,501,500,503,502,761,502,501,502,502,649,502,503,800,500,500,458,501,558,501,649,501,800,501,503,800,103,501,426,502,606,107,800,862,503,500,503,500,800,500,649,500,649,649,501,426,800,501,649,503,16,649,649,502,649,501,800,502,16,800,759,502,502,628,800,502,501,800,154,436,649,503,503,282,406,471,282,800,502,649,500,503,282,800,674,649,285,705,502,503,800,501,282,500,800,500,502,443,503,503,502,500,502,503,491,800,800,500,282,503,820,502,502,282,502,501,282,503,502,501,649,282,503,649,800,585,503,501,500,800,649,500,649,500,255,501,265,800,501,501,282,503,19,502,500,500,500,502,503,800,800,501,502,500,649,183,310,649,500,502,502,162,330,500,396,754,100,237,501,800,503,282,502,502,145,800,649,649,649,800,800,500,649,282,800,501,501,503,282,502,16,282,649,800,503,267,500,16,649,813,503,503,503,501,502,503,190,502,503,503,501,501,800,800,501,649,107,500,501,502,800,209,282,800,282,502,502,501,503,503,16,800,282,216,503,501,95,649,282,582,865,16,501,500,362,501,502,538,503,500,649,649,649,649,649,78,501,282,282,282,500,500,612,800,800,282,649,503,502,503,503,500,800,800,503,800,502,649,502,500,500,500,501,503,501,502,800,110,679,504,501,282,500,282,500,503,649,332,920,800,503,502,649,502,282,501,16,500,501,522,500,501,500,649,501,502,263,502,502,503,649,800,476,177,800,501,501,501,649,501,503,649,503,502,503,16,500,617,501,649,800,800,800,502,500,501,383,649,800,501,503,503,858,800,649,649,649,800,502,800,503,800,501,500,107,502,649,503,501,503,867,596,500,206,502,649,500,649,649,502,503,503,502,500,282,502,503,500,501,502,282,536,500,300,649,501,501,502,501,649,501,501,501,500,12,375,502,649,502,502,427,501,500,110,799,500,500,282,520,503,502,62,502,16,503,800,502,500,500,504,502,649,16,800,500,503,16,500,800,788,500,282,500,282,500,500,800,500,282,800,504,16,500,501,503,800,500,649,649,800,800,649,649,502,800,500,800,649,282,433,502,503,282,503,282,59,503,503,502,503,501,800,282,165,502,649,649,783,502,882,905,503,504,269,500,649,800,800,800,800,800,705,500,649,501,500,502,501,501,649,500,800,16,503,800,273,503,649,501,16,501,663,501,648,649,503,501,504,894,502,503,800,503,500,501,503,299,693,502,282,143,502,800,16,504,800,503,282,500,800,500,502,503,649,16,502,503,282,501,503,649,649,649,282,503,649,503,800,502,282,501,503,800,501,501,501,649,282,800,501,800,800,514,879,500,503,33,800,503,649,503,502,282,16,599,503,694,502,367,294,502,649,16,500,501,649,582,800,500,649,649,649,500,282,500,649,800,503,649,800,502,504,501,502,800,282,502,500,649,500,501,282,282,103,503,501,501,649,649,503,502,501,503,649,800,16,16,649,649,800,503,501,282,800,504,501,986,282,103,502,501,282,800,503,800,16,501,702,501,501,501,333,282,503,502,500,800,16,800,502,502,282,500,702,501,809,500,501,649,500,503,502,502,705,500,500,395,501,500,713,649,213,501,503,649,800,503,649,649,16,27,16,649,282,655,500,503,282,503,800,501,503,503,503,500,989,501,42,800,502,649,503,649,282,502,800,800,503,282,500,549,502,504,323,800,677,800,792,500,504,500,502,282,649,502,649,500,337,503,107,501,649,503,282,282,649,503,649,800,449,318,848,107,502,501,800,927,503,503,455,501,501,503,16,282,502,503,501,800,896,500,649,649,502,800,649,500,500,500,649,503,820,502,46,862,504,301,451,282,116,16,784,502,316,501,502,501,503,800,649,282,16,588,649,649,500,500,502,502,649,500,501,503,649,84,501,503,501,800,503,771,501,503,500,500,502,746,649,640,500,441,986,501,501,800,501,500,800,582,800,502,198,800,140,649,478,503,16,501,800,800,501,649,502,501,800,693,649,16,48,259,502,649,503,500,282,282,501,800,500,501,16,501,16,503,502,650,501,502,502,649,800,649,501,16,502,500,501,421,125,568,504,107,800,649,800,500,211,282,503,501,649,503,800,16,501,500,502,501,653,503,503,500,541,649,501,282,500,281,501,500,649,503,282,501,501,501,340,501,102,398,500,649,500,501,449,503,16,274,618,502,501,766,16,800,502,282,800,92,400,501,225,107,502,501,103,500,282,500,434,500,832,500,806,81,994,501,501,59,800,503,800,501,503,500,876,504,800,282,638,501,501,845,500,386,282,649,500,503,734,501,800,649,282,282,502,514,760,501,503,649,500,500,103,500,501,501,502,282,503,800,386,502,500,504,800,503,649,503,502,500,501,800,502,282,943,501,16,502,502,290,500,16,800,502,503,500,282,500,502,500,500,16,335,502,649,558,16,282,16,649,921,800,503,800,649,502,7,503,800,500,649,800,501,800,501,503,555,800,929,649,504,649,800,500,502,501,649,500,649,502,501,800,965,503,501,357,502,16,649,502,649,503,800,800,502,800,502,800,25,503,503,800,649,501,502,594,502,500,502,800,502,501,383,501,501,800,649,800,503,500,800,989,502,503,500,282,502,800,16,282,500,503,502,272,502,500,100,626,501,503,650,503,502,649,501,503,500,649,802,503,501,503,500,500,501,500,503,502,500,502,107,504,649,649,502,502,800,30,47,501,502,500,900,800,500,649,501,503,501,575,501,502,800,503,649,775,649,503,502,800,648,502,649,276,107,282,998,502,649,981,502,649,500,503,503,580,500,502,282,500,503,502,501,649,504,16,425,500,500,503,502,502,649,503,503,500,322,502,378,500,503,800,501,503,649,279,500,503,236,501,502,502,649,649,649,548,282,16,588,500,16,502,501,500,501,501,800,800,800,11,500,503,503,504,649,503,742,503,500,502,635,800,800,503,752,495,503,654,500,930,282,502,649,967,500,649,649,503,502,503,501,800,501,282,501,107,503,500,107,502,649,282,16,524,503,800,501,539,800,503,649,503,677,500,800,256,649,282,501,503,469,649,282,167,503,502,800,984,501,502,503,501,274,282,502,500,380,502,502,502,649,16,500,100,800,502,502,503,502,800,502,649,580,800,282,649,800,807,501,500,503,800,16,235,716,501,16,502,502,649,800,500,504,282,800,800,649,503,502,649,502,503,530,503,501,500,649,500,282,800,501,501,502,800,501,146,800,16,663,500,800,649,649,649,649,500,500,503,502,282,800,107,906,500,501,649,334,800,502,16,800,503,800,800,500,800,501,649,649,501,503,282,800,501,649,649,649,649,504,500,649,800,502,18,846,503,503,500,502,503,502,800,503,682,649,281,500,432,503,88,503,649,501,500,800,649,649,483,500,503,500,501,800,501,503,502,977,464,16,405,502,282,501,289,502,800,500,501,282,501,503,501,504,800,800,501,107,502,649,502,500,282,800,395,649,103,807,500,800,649,501,500,501,282,16,649,282,800,503,502,649,501,500,500,16,486,77,649,504,800,800,649,503,282,501,503,502,500,501,58,649,500,697,558,649,282,500,501,800,502,16,592,503,82,500,501,220,800,649,93,501,649,503,503,800,502,649,649,282,503,503,500,501,282,502,412,502,502,500,500,282,500,649,325,119,502,502,221,502,502,649,503,500,504,500,502,503,502,502,502,500,649,16,800,503,501,502,500,282,500,503,800,500,649,800,501,500,282,649,282,282,112,500,282,501,282,500,397,502,503,500,504,504,502,500,500,800,649,800,892,501,800,569,500,282,551,169,500,16,501,443,16,503,501,503,502,800,800,503,282,800,503,500,500,748,502,502,800,833,86,501,649,504,519,502,500,649,501,16,282,503,503,502,107,501,503,504,736,584,800,649,282,705,501,500,502,502,28,501,500,503,503,500,507,75,500,800,513,980,502,500,107,649,502,503,500,893,504,501,649,502,502,501,500,649,500,502,922,503,649,501,344,503,282,649,503,501,282,202,800,800,113,282,800,501,101,282,500,502,501,649,800,500,501,504,16,503,709,500,502,16,649,2,800,503,800,800,504,500,501,503,282,509,649,500,501,501,502,502,649,800,500,501,650,800,649,800,371,501,800,627,503,282,502,502,501,503,503,800,501,500,649,649,503,503,800,502,500,800,500,503,282,800,282,501,502,649,500,503,503,501,16,282,501,649,649,503,649,662,800,500,501,649,16,649,16,649,649,800,500,800,500,649,502,800,282,502,504,502,649,501,800,503,502,649,503,500,800,955,282,649,282,501,282,503,16,282,502,501,502,500,800,649,503,56,503,649,503,282,649,649,800,500,293,500,503,649,501,501,502,502,281,501,649,649,502,282,605,800,282,501,800,500,800,649,504,107,500,800,800,500,501,823,502,800,501,503,116,800,520,501,103,500,501,500,993,503,500,503,804,800,501,500,500,649,800,649,159,500,501,74,500,500,763,501,649,500,800,649,501,500,503,500,800,500,501,800,298,649,282,504,800,500,482,501,504,419,282,503,839,501,502,501,951,502,477,16,800,501,649,501,288,800,292,649,500,836,501,208,16,503,501,282,503,503,503,800,800,649,500,500,503,600,501,740,282,649,501,502,837,503,282,16,502,500,417,800,500,501,503,501,778,503,501,867,503,501,501,502,500,500,649,503,502,16,800,666,649,501,282,649,649,16,501,500,501,649,800,800,501,503,649,800,800,500,649,800,502,502,611,282,502,800,500,800,501,502,500,501,649,649,282,500,469,282,282,502,500,502,501,502,501,649,282,800,501,649,800,501,786,501,503,800,503,503,649,502,649,503,502,501,643,501,282,501,142,503,503,501,649,800,502,800,501,160,389,503,649,324,500,800,500,800,503,800,503,502,503,869,500,282,16,500,282,759,944,649,500,886,500,501,95,475,502,503,500,501,503,502,503,800,800,502,502,501,800,501,500,649,501,501,500,33,502,800,800,282,503,501,649,800,503,803,501,800,649,503,502,501,282,502,501,502,501,502,500,503,800,502,649,478,649,503,501,501,501,502,800,503,503,504,502,501,800,501,502,613,504,500,649,16,800,800,526,800,501,883,501,11,811,501,502,501,800,500,392,501,503,282,800,649,649,446,386,282,800,503,501,502,649,649,501,282,16,800,503,800,500,78,751,282,282,501,107,649,502,500,503,504,800,502,800,787,502,501,502,500,503,503,800,649,282,500,626,503,956,500,504,503,502,649,423,282,500,502,765,800,500,501,500,128,501,166,500,701,502,502,502,502,649,500,642,100,16,649,784,649,503,649,107,800,500,282,503,502,800,243,502,502,282,282,575,503,501,500,177,340,800,503,501,503,501,501,503,649,800,282,926,501,649,234,148,502,503,800,502,864,500,501,367,503,502,800,649,649,687,490,501,503,501,501,100,649,501,500,702,501,501,649,502,800,503,800,503,649,800,649,504,501,649,649,501,800,502,649,649,800,282,500,649,800,503,502,462,502,800,287,649,649,502,800,502,501,501,678,282,500,502,501,502,544,800,282,834,502,501,800,503,800,500,649,649,501,501,649,500,501,649,800,649,800,282,800,502,127,500,503,143,229,649,629,501,649,501,500,282,501,501,501,501,649,503,282,282,502,500,800,500,107,502,502,501,501,500,502,800,502,800,503,282,501,504,16,115,8,502,282,502,503,649,282,500,282,147,649,800,282,282,442,500,502,282,221,501,503,282,502,800,502,489,502,503,500,502,800,502,502,649,649,649,503,501,501,503,503,649,800,282,503,502,501,501,800,16,282,800,503,500,501,16,800,107,503,16,800,649,501,500,503,649,649,504,326,502,500,649,502,800,503,500,282,649,316,501,501,649,503,800,667,649,16,800,501,649,16,501,501,800,500,503,649,500,502,625,282,649,503,800,500,800,503,500,501,649,649,501,502,502,649,503,16,830,502,644,800,800,282,800,282,504,501,503,107,800,500,800,501,649,649,501,503,649,502,800,16,649,649,649,502,711,282,502,502,501,649,16,500,500,501,501,502,500,501,649,500,501,649,504,503,16,282,502,800,500,795,500,502,823,503,500,500,649,649,503,800,502,502,502,649,898,806,800,649,502,800,800,800,800,675,502,800,503,16,649,501,501,282,649,282,502,500,649,649,340,800,649,806,501,502,649,282,649,800,107,500,800,800,500,501,649,649,502,503,500,649,502,500,502,649,282,500,501,800,500,500,500,649,502,503,501,502,800,500,500,503,503,246,501,800,649,282,500,800,503,362,502,503,501,800,165,500,559,649,649,282,500,501,16,106,649,502,501,886,501,800,800,502,502,502,503,649,800,649,649,800,800,559,500,503,516,503,500,503,649,500,501,501,501,500,501,223,282,282,500,502,800,107,503,502,500,500,503,220,502,502,939,314,503,433,501,282,649,282,501,649,504,500,649,500,500,800,414,649,501,800,282,800,800,501,649,800,408,503,501,800,502,502,501,649,503,503,501,502,545,501,649,103,800,652,282,649,801,55,649,502,354,800,501,502,800,500,501,282,501,501,997,282,282,501,503,503,282,649,443,649,501,500,800,649,800,800,500,800,50,504,502,500,503,501,649,649,503,503,503,500,503,282,649,502,502,503,800,503,500,502,800,800,649,501,502,649,500,649,501,501,856,502,502,800,500,503,649,800,500,500,71,502,502,500,501,649,500,660,557,379,800,502,500,500,807,500,500,501,500,649,800,282,926,800,500,975,503,649,500,503,504,502,500,503,649,501,800,502,800,800,503,504,500,501,800,502,649,502,503,800,16,649,502,282,649,667,500,282,500,503,649,16,295,842,649,502,800,649,168,501,558,859,172,502,107,282,502,649,500,501,800,800,503,959,500,800,957,504,501,800,362,502,502,501,501,541,502,107,501,800,483,502,709,501,501,649,535,501,501,502,503,821,501,503,282,649,500,16,649,282,282,107,500,503,361,502,503,500,799,16,649,800,800,504,503,800,992,282,265,649,649,552,649,500,501,503,559,503,800,705,800,820,800,800,501,503,800,776,500,502,649,649,503,503,493,502,502,649,879,649,503,502,800,800,502,282,500,501,502,502,282,504,500,282,501,503,282,503,800,501,649,72,667,502,500,16,501,502,16,649,245,500,103,649,501,500,800,16,300,800,282,649,501,812,649,501,502,500,282,502,503,649,649,502,503,500,500,503,282,800,800,800,649,858,800,503,282,502,800,503,502,649,501,503,957,16,503,500,503,500,800,503,502,500,502,503,800,513,501,649,501,800,800,919,501,266,502,500,504,502,503,800,800,649,107,130,326,480,503,502,502,501,649,502,501,501,503,282,503,282,649,649,638,500,800,734,501,500,742,16,16,501,800,636,800,501,502,649,649,282,107,800,500,502,503,593,649,503,503,500,501,502,500,911,503,32,500,800,502,649,649,502,380,800,503,501,282,649,800,501,800,501,503,503,869,800,501,502,503,503,282,504,282,500,500,501,502,500,503,501,502,503,16,501,551,503,800,502,502,649,341,283,649,379,800,800,502,282,501,503,501,649,282,501,16,649,765,500,502,649,503,932,501,503,800,800,503,800,800,420,500,800,16,501,502,649,502,502,800,503,40,503,649,502,500,16,649,501,649,649,334,800,800,501,649,502,664,282,649,504,137,503,502,500,649,503,502,503,655,800,503,503,502,649,800,800,501,800,585,503,564,569,500,500,649,501,500,800,649,410,500,16,501,649,741,501,800,500,503,800,800,451,649,800,800,361,502,500,800,103,800,134,649,502,501,800,800,501,649,502,502,649,669,726,502,800,502,500,503,16,649,801,649,282,800,800,500,501,500,503,649,649,282,16,502,502,500,690,501,800,501,649,504,502,503,649,710,500,282,504,502,800,504,500,649,501,649,500,853,501,502,649,500,502,502,502,800,503,800,16,502,800,649,501,282,649,500,649,500,800,502,649,16,282,503,502,502,918,502,501,800,800,500,500,502,522,282,552,502,500,416,282,16,282,500,649,501,501,649,649,295,501,503,219,503,503,649,898,503,502,502,649,649,587,649,500,282,800,502,504,800,252,504,500,876,649,501,502,132,905,502,502,500,649,649,800,503,502,502,500,800,500,501,500,503,282,503,501,649,502,649,502,527,415,660,502,503,800,16,16,960,503,649,800,503,501,503,502,501,282,501,649,501,649,282,649,502,502,500,107,501,414,503,649,649,54,500,503,800,501,500,107,500,666,501,503,500,24,807,730,282,502,501,503,282,107,751,502,800,500,800,649,649,504,503,800,800,649,500,500,800,504,500,501,504,282,503,500,282,502,503,500,800,500,230,649,992,502,503,800,501,500,431,502,649,800,501,800,503,502,649,649,500,800,649,995,501,503,800,503,502,501,649,501,16,649,282,800,649,503,501,502,500,800,649,16,649,501,721,771,500,500,800,502,502,503,503,503,503,649,501,57,503,282,16,502,933,849,503,16,259,503,503,935,500,800,800,649,502,32,800,501,502,502,500,570,649,649,502,502,500,501,459,502,649,500,16,503,503,649,501,502,649,501,504,16,503,649,282,500,502,16,502,282,502,501,501,503,501,500,800,501,503,500,800,676,649,282,502,500,502,969,503,500,649,649,501,649,800,649,501,800,502,420,282,649,282,500,501,500,800,501,500,501,800,282,649,282,649,503,800,503,649,501,503,282,502,398,500,502,649,800,501,649,503,500,467,282,502,503,649,800,503,649,503,150,500,503,503,800,800,500,503,800,502,503,922,371,503,16,329,649,649,503,800,197,902,649,800,500,503,800,503,501,502,504,502,800,800,674,502,503,800,610,500,503,157,649,501,500,500,800,501,501,503,413,103,503,282,282,500,500,800,503,502,667,649,502,800,649,649,501,800,241,649,800,649,502,500,800,529,649,800,502,501,500,607,501,16,502,800,382,649,500,800,800,502,500,501,502,649,649,57,502,501,502,503,502,504,502,282,282,501,103,649,219,503,800,500,282,282,503,500,500,67,500,501,504,501,503,500,502,504,502,282,649,502,503,501,500,503,800,502,503,45,500,649,282,649,649,503,504,503,500,503,502,800,503,503,649,500,870,503,649,16,501,502,272,16,501,91,107,649,372,503,500,500,649,502,776,502,909,872,800,501,501,73,800,649,971,16,502,500,800,503,733,800,501,649,800,800,800,500,501,800,503,502,16,502,503,501,649,649,500,500,107,649,457,649,503,649,211,500,800,649,800,504,503,501,501,503,500,282,103,501,502,282,504,502,500,500,800,502,649,501,390,649,649,649,649,103,649,503,869,500,502,500,800,502,201,327,649,500,503,706,502,547,502,649,503,500,649,16,649,800,501,502,919,500,501,503,80,503,16,282,500,500,502,649,500,503,800,500,649,503,500,502,501,16,800,282,649,172,282,502,26,503,500,501,282,501,502,397,500,501,500,800,649,501,500,501,649,649,649,343,500,500,800,800,16,503,282,501,649,426,503,649,502,508,649,501,504,800,503,282,501,503,500,321,501,501,501,649,503,685,501,503,500,800,502,502,800,800,504,800,800,502,649,282,502,282,500,809,807,800,85,502,282,502,500,238,502,800,282,502,501,504,502,649,502,532,502,500,501,599,501,502,282,500,649,802,502,500,500,500,504,800,800,800,503,503,502,800,503,800,500,500,508,501,449,800,160,615,800,160,501,476,800,501,501,282,12,800,502,502,501,502,282,16,500,502,649,282,500,501,501,649,500,503,107,502,501,503,149,502,282,501,502,504,502,103,502,949,500,502,501,501,258,945,649,158,500,282,503,501,103,649,501,503,649,800,502,500,800,500,16,501,800,500,210,913,745,282,649,649,649,649,16,282,282,500,501,504,282,649,800,501,16,501,501,34,282,282,501,649,282,503,159,649,649,502,800,501,503,502,16,501,500,500,501,503,501,828,800,103,158,436,316,500,16,501,800,503,313,503,649,501,501,800,107,800,282,500,501,500,849,649,107,457,501,800,317,800,208,800,500,649,649,502,501,500,502,649,16,649,103,502,282,503,501,501,501,9,800,501,500,503,501,649,649,502,649,501,503,501,500,502,571,503,977,500,282,501,500,800,16,407,503,800,501,958,649,16,503,47,501,800,502,502,501,486,282,500,504,649,649,649,539,495,503,810,649,16,800,503,501,531,800,503,954,504,800,282,501,800,649,649,501,282,800,649,649,496,503,800,266,532,649,500,800,649,800,800,501,649,502,800,800,500,500,282,500,502,503,217,649,501,649,502,501,500,649,991,503,107,501,800,282,649,739,558,501,502,503,500,216,800,502,504,345,501,282,500,784,823,500,282,800,502,800,624,501,16,400,552,500,502,267,649,16,502,504,501,800,500,282,649,800,933,502,282,800,56,500,800,501,502,503,649,502,800,502,502,16,808,282,800,649,649,649,320,649,282,503,821,649,500,503,503,800,800,743,501,501,501,502,604,501,649,503,800,503,503,649,500,282,500,282,502,502,283,502,282,397,500,504,649,500,16,886,424,531,540,500,282,800,649,800,500,502,504,504,503,282,282,649,503,574,500,501,649,800,570,649,649,501,502,800,503,649,501,448,500,800,502,694,503,501,282,500,502,903,834,502,502,501,800,503,502,16,460,800,649,800,501,502,107,503,209,800,800,503,501,800,500,501,649,649,502,16,502,504,800,502,800,282,800,800,34,630,800,800,649,501,503,800,502,503,412,649,503,649,500,502,500,501,27,800,501,503,501,500,16,503,500,800,800,282,800,168,800,501,500,800,800,800,501,800,501,502,500,649,502,649,503,16,502,501,500,500,649,649,649,282,16,500,500,503,559,649,501,649,16,503,649,800,502,503,502,501,800,500,502,501,502,503,138,504,500,502,800,302,800,501,502,503,500,695,392,395,649,800,507,282,16,800,501,500,800,266,800,500,649,282,282,501,500,491,502,503,16,649,501,800,649,501,502,800,16,649,649,800,282,502,503,500,503,103,500,16,501,907,502,16,500,502,16,501,800,649,728,16,500,649,800,282,501,500,500,500,800,107,501,503,800,800,187,800,502,500,503,502,282,503,502,500,502,503,800,503,800,200,800,649,16,503,729,500,800,501,501,260,503,649,504,649,721,649,649,500,500,649,16,503,121,500,500,500,500,501,103,500,649,501,503,282,501,500,503,282,500,279,800,500,501,282,282,196,500,503,501,500,503,501,502,282,502,282,16,503,502,501,501,800,800,501,502,649,502,504,500,800,800,500,501,501,503,649,503,500,501,500,800,649,989,141,649,500,649,500,502,500,800,500,503,649,500,501,730,800,282,501,800,282,649,501,800,500,800,282,800,282,649,346,282,502,503,500,501,503,16,501,800,503,500,384,501,501,500,16,502,503,501,649,833,502,649,16,502,503,800,501,501,501,649,500,503,30,649,501,649,649,282,649,500,500,500,800,501,649,503,500,500,501,502,502,107,502,501,107,500,502,502,500,502,800,800,503,800,800,500,800,282,502,294,500,500,501,502,282,649,501,501,649,501,500,503,800,500,500,501,16,800,503,86,800,501,503,501,800,502,649,433,800,502,503,500,502,503,649,649,800,800,500,800,500,500,649,501,503,500,866,282,502,503,501,881,282,500,649,282,776,103,502,503,100,282,501,282,649,502,649,596,502,282,282,502,502,649,800,282,768,734,503,502,501,214,282,800,501,16,800,502,501,82,503,501,282,501,500,500,90,649,16,500,649,649,500,282,16,513,649,500,503,282,501,649,501,649,282,800,503,282,800,502,16,501,800,708,500,649,501,503,502,800,16,282,800,38,500,649,649,503,282,503,500,429,800,649,282,502,282,282,649,500,800,503,282,503,800,501,501,502,800,608,800,59,500,502,502,501,133,503,500,649,500,501,800,500,649,501,282,500,500,757,500,282,500,800,562,896,500,650,503,500,501,800,649,501,800,502,800,649,800,800,503,649,501,503,502,501,500,396,750,501,649,16,503,503,800,501,248,800,501,500,800,649,649,504,503,501,800,649,500,649,807,501,800,16,800,500,649,800,500,501,501,800,16,501,503,502,800,548,800,800,800,503,282,502,503,503,800,649,16,502,502,265,557,501,800,500,502,800,500,500,800,948,500,649,800,500,282,649,501,503,503,502,503,503,800,501,800,649,800,649,779,502,503,500,500,503,649,800,282,800,500,282,500,500,800,800,649,800,649,501,136,501,800,500,502,800,800,504,502,500,649,502,282,103,787,282,501,449,282,16,649,649,502,282,502,800,501,649,501,500,502,503,649,649,502,503,129,649,935,649,503,800,500,502,571,800,500,649,622,503,649,800,16,500,502,501,501,922,501,500,155,282,333,800,282,649,500,649,431,502,501,16,649,500,502,649,800,649,502,500,649,800,500,16,16,501,649,282,501,649,800,649,501,501,503,500,502,503,501,16,501,501,502,282,503,502,501,503,500,649,501,800,800,800,649,501,500,502,501,500,500,649,500,485,502,500,16,503,501,501,504,503,500,649,501,649,649,501,501,16,502,502,282,86,501,503,16,649,282,73,500,649,500,500,800,649,293,282,500,502,282,931,500,649,503,607,282,800,500,502,461,818,503,793,502,502,649,800,257,649,649,500,503,501,501,282,500,800,502,103,503,649,924,720,502,744,800,500,504,502,503,282,503,502,649,502,501,502,500,503,500,282,501,800,501,501,800,501,1,501,500,649,502,649,456,501,85,504,501,800,503,503,282,16,16,282,649,649,800,649,282,502,800,282,502,216,500,649,503,502,800,649,563,704,800,649,800,502,500,16,800,501,503,500,16,124,649,501,800,649,500,502,502,16,502,649,452,451,503,503,503,500,800,800,500,502,500,800,500,649,503,282,649,501,800,502,503,500,502,300,647,282,800,572,501,503,885,504,282,438,649,282,501,649,502,40,800,800,502,800,501,649,501,800,502,800,800,502,503,649,648,800,503,501,500,501,282,503,504,112,282,503,500,503,800,501,500,503,500,346,500,282,502,149,645,649,649,800,501,800,501,503,728,311,501,649,281,16,500,500,282,800,649,123,8,800,500,800,503,500,16,152,800,501,503,501,503,502,501,530,502,140,257,301,649,501,501,503,214,503,102,502,502,800,501,269,503,503,386,502,800,800,502,500,800,502,379,800,503,107,500,282,282,501,649,502,649,16,501,649,501,662,649,502,649,153,649,649,649,649,649,501,500,649,727,503,800,502,501,800,501,500,502,502,501,800,503,501,501,500,500,500,800,800,501,800,649,649,282,800,91,282,282,236,501,502,503,282,501,503,504,503,500,800,649,800,800,502,503,363,501,649,503,995,282,502,501,500,503,502,282,502,504,502,649,800,502,282,501,126,282,649,503,649,501,500,502,502,649,649,282,861,502,501,501,649,501,502,282,500,503,500,16,502,500,409,502,282,754,501,805,504,649,649,800,500,503,800,501,800,501,728,800,503,502,800,282,503,532,501,800,503,16,385,800,501,649,636,270,501,649,800,649,3,503,282,500,502,202,503,800,627,800,502,800,501,503,502,649,502,649,502,500,460,503,503,649,282,502,502,503,503,161,500,500,16,500,27,500,282,342,282,16,500,103,649,800,282,503,500,501,649,705,800,503,501,501,54,800,503,800,501,800,500,434,502,500,501,800,800,503,503,109,503,800,502,503,502,649,469,502,649,501,502,501,503,502,502,501,502,503,649,800,501,502,649,502,501,501,649,503,800,282,500,107,500,500,500,56,500,649,502,800,500,501,800,501,502,500,800,913,500,539,649,649,502,469,16,500,503,649,501,950,42,649,503,500,649,502,649,501,649,282,502,502,504,744,398,501,800,501,649,500,16,503,282,503,800,649,282,503,503,501,501,502,800,503,503,800,500,500,16,500,500,593,500,800,503,16,500,500,502,500,501,16,503,800,502,502,800,501,282,282,502,500,504,800,55,502,501,503,500,145,503,504,961,649,16,502,800,649,800,628,800,500,500,800,501,800,649,503,800,742,500,502,375,502,649,118,800,500,800,502,282,503,800,501,328,500,800,800,65,739,649,282,502,800,274,502,459,282,500,500,800,500,501,800,107,649,800,503,800,282,504,649,500,503,502,502,961,503,502,501,503,649,800,502,500,503,282,16,16,282,13,502,649,503,800,800,649,800,800,800,502,649,800,282,501,494,502,476,520,800,501,501,503,500,800,649,503,16,800,800,502,501,800,107,275,500,500,951,282,649,502,501,500,872,765,649,800,500,502,501,502,800,504,501,501,503,649,501,500,800,807,649,502,649,800,282,16,387,800,500,503,500,649,800,800,502,800,502,501,502,500,501,503,502,502,282,649,500,502,282,695,501,282,502,649,649,649,503,803,501,800,24,502,502,381,282,800,502,16,282,649,504,415,500,500,503,922,501,500,500,649,502,800,649,502,503,501,649,16,649,503,282,503,649,16,501,800,503,291,800,649,649,216,501,501,107,500,500,800,503,500,99,500,500,501,282,501,649,501,649,649,649,503,500,500,504,501,800,278,649,649,649,800,16,503,501,779,800,382,502,800,649,500,503,500,800,477,502,405,504,501,649,807,501,500,500,502,16,500,649,649,500,649,266,500,500,501,503,503,815,501,282,502,800,500,501,502,800,503,649,871,800,501,649,565,503,502,282,398,649,649,800,649,127,502,502,500,800,800,649,68,502,282,503,649,800,800,705,501,649,103,502,502,588,649,500,500,800,649,503,950,501,487,649,282,527,503,661,16,649,649,282,282,503,800,501,800,800,503,800,380,543,502,669,502,502,80,800,502,500,649,649,502,978,501,501,501,502,501,649,501,282,503,501,503,800,500,502,19,649,800,800,500,502,16,957,818,800,503,503,282,649,502,800,282,503,282,800,357,500,800,502,502,800,503,649,649,800,484,179,800,501,502,503,44,503,800,503,649,503,649,503,502,8,800,501,500,649,649,649,800,414,502,800,649,502,16,7,503,503,502,500,504,502,500,649,502,500,282,800,503,500,303,800,502,502,502,503,501,501,16,503,282,500,800,276,282,800,649,800,16,501,501,209,16,500,649,443,500,502,500,800,800,282,293,503,282,503,501,800,501,503,473,502,282,500,800,705,501,502,282,500,800,282,502,500,143,649,16,282,354,503,800,16,502,502,800,502,500,649,549,501,500,501,503,500,500,503,800,503,502,649,800,960,651,503,503,500,501,8,504,500,282,502,502,649,500,800,503,502,800,501,800,500,649,800,500,501,400,800,502,501,253,800,931,502,800,501,898,502,503,502,501,501,500,282,800,501,737,503,503,649,853,178,12,500,54,500,800,834,944,502,800,800,500,800,800,16,501,500,556,800,502,886,649,282,103,500,501,800,503,500,503,16,800,500,500,107,500,282,501,500,16,649,503,500,354,800,504,502,501,107,800,282,503,100,501,502,500,800,501,501,16,209,649,800,500,649,503,800,500,800,502,270,502,501,26,649,649,282,502,500,649,500,502,800,282,503,500,591,479,800,282,282,503,800,501,722,282,500,502,571,501,501,763,800,649,503,800,800,800,500,502,503,500,500,313,500,649,16,282,501,501,502,649,649,649,502,503,282,501,504,384,649,451,502,500,500,727,952,501,503,779,503,500,724,282,800,502,502,502,649,501,503,800,503,501,216,502,502,649,64,501,83,649,649,501,649,282,649,504,103,501,503,500,649,800,502,500,500,500,800,500,502,502,502,503,649,649,501,649,649,500,649,500,843,16,502,649,501,16,502,501,800,501,503,502,103,503,500,502,282,649,501,800,502,961,722,451,649,502,747,501,500,503,502,800,800,651,500,500,800,705,503,504,501,502,503,500,800,282,812,649,500,812,800,502,649,484,649,775,140,503,500,501,503,501,503,503,501,503,16,501,502,800,501,501,502,649,649,649,649,649,800,503,501,500,282,503,649,282,502,502,501,668,500,501,503,800,149,502,800,800,500,502,649,649,504,800,16,501,649,503,500,800,501,501,800,503,66,649,221,502,652,501,500,107,253,28,995,649,649,503,501,694,500,503,800,800,502,107,502,800,16,800,503,800,503,502,502,799,500,800,503,800,502,800,503,502,800,16,503,503,502,503,800,501,16,81,269,503,649,502,500,800,800,501,726,503,502,376,107,502,502,800,282,502,16,502,528,649,800,16,649,500,16,501,800,501,501,649,500,800,89,282,501,503,800,502,502,649,502,500,501,800,503,800,800,282,502,449,504,502,282,502,16,500,500,503,501,800,570,500,16,503,501,800,501,103,649,502,243,649,649,649,649,16,289,503,649,649,649,502,501,800,16,282,502,500,503,800,896,500,504,500,649,649,500,649,501,503,500,503,502,800,503,142,503,649,649,500,500,800,500,500,291,501,282,649,282,500,282,649,500,500,503,501,103,649,503,501,649,649,503,503,157,500,500,502,503,16,649,649,503,649,501,800,47,502,503,649,501,500,500,500,800,500,503,503,800,800,291,16,282,503,503,705,500,800,649,501,466,649,572,501,649,500,800,503,800,200,500,503,503,649,500,501,583,488,649,503,500,501,502,649,501,800,649,500,103,615,500,504,501,554,501,501,500,503,800,649,504,503,502,503,502,503,923,760,502,500,800,800,649,500,16,502,501,501,502,218,500,914,501,504,503,501,502,649,639,800,504,800,500,649,501,501,500,502,294,800,678,503,501,800,800,800,649,800,503,649,502,503,502,500,501,500,500,16,16,502,649,282,502,604,502,501,800,324,500,241,800,800,500,502,439,500,500,800,503,501,503,503,503,649,500,500,503,500,501,282,501,500,503,500,502,927,282,501,282,603,501,951,800,79,500,503,282,502,502,500,16,501,503,16,800,500,501,800,501,649,649,800,649,502,501,649,107,502,503,649,503,501,501,501,500,503,504,649,649,502,800,86,16,800,503,362,282,500,500,502,649,800,274,502,282,800,800,501,205,282,800,800,800,649,502,500,800,649,503,501,800,281,282,504,501,800,649,501,503,649,649,501,28,500,415,321,919,503,519,501,16,282,649,501,282,800,649,800,800,500,437,412,501,501,616,500,649,500,503,800,501,800,503,503,500,503,800,503,649,910,282,282,502,503,500,500,503,502,484,800,800,502,282,556,800,500,764,16,503,503,500,527,503,282,649,800,502,500,800,501,705,672,503,800,501,800,502,500,500,251,800,500,800,502,952,500,282,500,800,282,504,282,649,800,800,800,800,502,649,500,800,502,501,800,501,503,502,501,649,504,649,16,501,282,800,743,500,644,502,500,501,500,282,503,501,503,503,501,502,300,650,649,649,800,500,503,282,649,502,282,500,503,500,503,501,800,745,501,800,621,503,500,649,282,502,447,504,504,503,503,614,503,749,503,501,500,649,855,649,649,503,188,504,500,937,800,503,501,502,800,649,649,503,800,500,443,500,500,282,649,649,444,282,502,501,800,501,502,503,502,501,800,16,800,282,503,501,501,872,503,109,502,649,16,502,800,282,500,500,649,501,16,487,849,501,500,500,501,800,502,503,501,503,649,800,282,800,800,500,16,800,502,649,501,500,282,503,500,503,16,800,502,869,800,649,800,502,502,282,800,500,800,502,501,503,500,501,800,503,16,800,503,649,501,626,503,649,649,503,282,500,649,800,599,649,800,282,800,504,16,502,649,800,503,501,500,503,103,501,503,835,501,435,503,503,800,16,964,800,503,649,545,508,449,501,501,628,501,160,800,503,500,649,884,500,502,501,649,649,282,800,800,503,649,16,649,500,649,800,502,271,800,504,649,500,482,16,649,800,800,503,649,800,16,501,500,649,503,500,503,107,500,500,503,800,502,503,502,500,800,503,649,502,679,840,107,649,282,502,107,232,503,959,503,282,500,502,502,16,503,500,800,503,501,312,649,107,219,282,501,649,503,649,502,800,394,995,649,501,502,501,282,16,501,16,501,503,501,500,502,125,501,16,500,800,800,649,500,502,501,501,16,311,502,502,649,500,503,503,500,649,501,502,649,501,501,500,503,503,501,503,504,500,500,800,503,502,800,649,503,502,649,503,500,649,500,800,741,501,233,500,502,501,503,502,18,500,500,503,500,500,501,500,649,282,800,649,501,503,503,649,502,501,502,500,502,649,503,503,918,282,800,16,800,649,800,504,16,500,501,503,501,649,501,503,649,502,502,818,504,500,500,500,503,502,500,501,850,502,331,334,503,282,502,269,800,500,613,800,357,800,502,800,282,649,500,501,502,501,503,649,16,266,426,501,502,503,503,500,500,800,502,649,503,502,503,282,800,501,501,502,502,502,710,649,503,800,503,626,162,501,501,503,500,503,503,800,504,800,282,501,502,500,800,691,503,502,649,649,502,501,800,649,502,235,882,800,503,501,500,800,500,500,503,800,501,800,501,503,502,501,503,649,800,847,500,500,800,736,687,282,856,502,649,502,282,502,502,282,649,502,800,800,16,16,812,500,339,282,282,282,503,500,282,502,649,500,502,917,61,800,500,991,649,501,500,800,800,501,649,500,500,503,800,282,501,501,800,649,16,500,503,649,935,500,679,500,500,500,501,547,502,503,500,649,649,503,503,503,16,502,649,649,649,501,394,503,503,282,773,502,500,411,502,110,504,800,500,649,502,502,16,502,503,501,800,501,282,649,502,502,649,649,504,501,503,800,500,800,800,800,649,282,431,282,504,503,500,501,502,503,500,500,503,649,501,503,510,382,504,800,884,502,504,282,500,649,432,503,501,500,800,649,500,649,500,649,500,800,501,500,500,500,649,800,502,500,649,503,501,500,500,503,500,800,800,500,696,800,800,503,649,501,503,501,503,929,800,501,500,165,339,649,16,649,282,501,501,170,849,800,500,500,501,800,649,649,502,503,502,649,503,503,501,500,800,503,500,878,501,883,500,500,107,649,800,282,649,649,649,342,649,800,955,503,503,503,501,800,502,501,502,800,16,502,501,502,800,16,503,501,800,649,649,503,500,503,504,501,503,649,502,502,139,500,503,501,501,500,649,649,501,356,800,500,503,282,800,282,649,800,501,504,502,505,805,500,16,501,649,768,107,503,501,800,811,503,500,800,502,338,500,935,904,649,800,649,501,800,502,503,800,504,107,503,502,649,501,501,501,482,649,502,500,800,502,501,800,503,800,501,649,501,41,501,500,501,800,649,115,103,958,500,502,501,649,863,800,282,501,502,502,282,800,503,282,649,503,800,16,649,282,500,963,254,800,800,800,649,649,500,282,501,800,282,502,16,503,282,16,501,282,502,560,362,674,649,782,800,771,502,500,800,282,502,502,800,503,500,649,500,16,500,501,500,649,500,16,502,500,282,649,705,282,502,16,501,800,282,502,502,502,800,504,481,282,501,649,800,800,503,502,985,263,500,800,501,501,800,802,282,800,500,502,649,503,282,502,500,501,800,502,503,501,500,649,800,501,500,532,501,503,500,988,504,501,501,649,800,502,500,501,800,107,503,503,502,16,500,225,282,502,579,501,649,282,502,800,16,502,503,502,16,500,503,28,501,649,500,503,502,502,649,500,502,503,503,501,282,800,16,502,501,503,775,649,649,500,504,500,282,501,502,503,502,502,649,500,310,501,500,800,500,504,649,503,800,503,502,800,282,800,282,625,92,553,503,800,503,503,501,504,649,502,500,16,861,88,500,503,282,282,503,503,107,800,501,649,502,502,501,800,800,500,355,800,16,501,503,503,800,649,502,502,800,500,223,503,391,800,282,501,800,800,800,501,502,800,649,800,649,800,501,503,16,529,501,800,500,501,16,800,502,503,800,231,695,800,282,503,503,745,502,282,649,649,649,500,550,501,951,503,771,502,501,323,649,500,596,502,282,501,502,16,501,800,25,500,800,502,502,503,501,502,649,649,500,649,649,501,649,503,700,107,590,501,502,649,503,500,501,501,501,800,500,745,502,319,503,384,649,503,500,649,800,922,649,501,503,500,501,503,181,501,649,282,649,649,649,800,500,800,649,800,649,502,500,502,501,503,503,501,649,649,135,501,501,282,649,502,502,503,282,800,502,800,649,502,251,16,649,282,107,391,500,743,500,649,452,503,500,282,16,16,649,502,282,503,282,501,502,800,504,649,649,500,503,500,502,800,774,352,500,503,217,500,503,800,503,103,501,282,503,504,649,540,500,501,626,649,800,500,800,320,501,800,649,649,649,282,500,502,503,800,501,800,502,500,800,649,500,503,502,500,16,502,800,502,501,501,502,649,500,883,503,501,800,649,649,107,502,27,107,649,502,504,502,56,503,16,502,800,800,503,501,752,291,502,503,357,649,500,649,16,649,501,501,503,921,502,800,800,800,571,649,501,501,503,282,800,929,501,502,501,500,501,503,800,649,800,649,16,500,500,538,649,503,649,503,649,503,649,612,282,800,282,503,500,649,502,282,500,649,800,502,501,500,503,304,502,586,800,503,800,12,649,503,503,501,549,504,649,649,16,500,962,503,970,860,500,503,649,800,282,502,649,502,501,500,502,504,282,500,800,547,800,500,282,282,502,500,502,649,16,800,501,500,800,503,500,501,282,807,800,500,255,16,502,319,502,502,649,503,16,705,649,503,800,500,52,649,16,16,500,282,649,502,501,760,501,502,501,555,715,649,649,800,504,503,502,16,649,100,502,2,393,243,501,16,800,500,502,282,282,502,500,259,502,649,800,501,939,767,500,501,502,148,501,504,3,649,501,503,121,800,282,282,717,800,800,500,500,501,223,501,500,501,800,503,278,501,818,649,503,765,501,922,503,502,500,503,501,2,501,887,500,649,939,503,400,800,501,502,777,800,282,282,489,439,503,649,324,657,282,800,800,800,501,649,800,500,502,800,503,501,649,502,282,649,649,649,501,282,501,649,503,800,649,649,649,282,649,500,494,502,502,16,800,800,502,316,800,649,501,649,800,282,800,502,503,800,240,500,503,683,16,502,503,649,500,501,502,503,649,385,649,16,503,501,501,501,800,502,500,503,800,800,502,141,497,813,16,502,800,800,800,501,371,649,503,502,504,502,649,649,282,502,734,500,500,502,649,16,500,649,282,107,501,501,800,503,503,502,649,649,649,800,500,800,501,503,502,649,500,503,504,502,501,282,503,486,800,502,649,282,503,501,800,503,800,649,282,500,466,501,800,649,16,502,649,500,502,502,665,503,501,800,800,282,649,503,282,503,502,503,500,282,304,649,649,501,282,500,501,800,800,282,16,501,800,501,800,501,501,649,282,16,649,502,500,649,800,502,649,649,503,800,502,500,501,500,503,503,800,71,649,282,502,500,503,800,116,503,649,649,500,500,649,503,502,501,500,500,657,502,649,800,649,502,501,502,346,649,107,649,4,504,649,260,649,501,761,800,500,800,504,20,282,502,501,282,649,500,502,16,501,800,503,339,501,649,282,501,16,649,649,503,502,800,282,16,500,504,800,501,500,500,501,800,504,500,503,800,503,500,502,810,800,502,649,282,503,503,800,503,500,282,861,16,502,502,16,189,504,500,500,503,501,800,503,503,345,504,501,502,500,649,501,503,649,800,502,800,800,649,503,800,503,649,503,502,500,501,282,503,500,800,673,503,502,503,502,502,75,649,800,260,502,503,502,501,502,500,279,16,502,501,234,649,282,307,503,501,500,502,649,501,649,502,636,500,501,503,282,503,503,502,503,800,942,502,501,501,500,501,503,649,500,500,503,500,705,501,649,503,502,503,501,16,800,502,649,107,649,649,800,282,500,503,800,649,502,107,16,649,16,306,800,664,501,503,500,503,649,649,103,800,501,502,500,501,800,503,800,503,649,282,504,800,501,501,500,649,800,800,800,282,500,206,500,800,503,500,649,960,504,800,502,649,502,649,649,800,784,612,501,649,16,500,800,282,501,501,503,869,502,485,282,800,649,282,502,502,503,502,881,649,501,501,500,502,282,500,800,800,326,500,503,501,502,503,500,16,501,500,503,800,863,503,501,800,800,503,800,503,500,502,800,500,502,649,649,800,121,282,500,503,800,800,503,800,649,649,501,501,282,800,503,694,800,649,503,504,502,500,800,519,546,500,800,282,649,503,502,16,500,649,502,800,501,649,365,500,502,500,501,16,502,800,501,502,503,649,649,127,649,501,501,501,282,34,500,479,16,502,503,16,649,501,501,800,502,649,503,503,16,503,501,800,800,282,16,282,503,800,282,16,649,810,500,649,501,502,500,500,282,552,501,16,649,282,502,500,317,504,800,800,501,649,170,503,800,282,504,501,248,503,503,501,282,918,800,649,56,501,503,502,500,107,503,503,504,514,800,501,501,502,502,800,813,649,584,503,800,800,649,103,933,282,500,501,649,501,131,500,649,501,705,800,649,502,501,501,552,649,502,800,16,16,800,800,232,643,503,58,254,649,502,501,64,649,503,502,503,107,503,500,789,503,502,282,649,503,800,649,500,502,503,649,800,500,502,282,649,500,800,502,649,501,800,686,800,103,649,649,502,504,649,503,282,503,659,503,282,502,503,501,500,503,501,800,965,500,16,649,282,722,16,500,800,16,800,800,897,649,502,649,501,502,502,282,132,501,800,800,502,537,800,503,649,502,503,502,503,649,107,503,502,504,649,502,503,800,504,501,500,502,919,500,503,501,800,282,800,649,500,501,800,503,710,800,800,800,502,800,800,661,800,503,16,842,502,502,502,800,502,502,500,103,800,502,502,103,800,500,718,16,491,649,502,800,649,500,800,501,218,649,503,282,16,500,14,800,282,501,800,16,649,705,282,649,503,502,503,502,649,502,282,377,649,107,649,649,637,502,649,16,282,649,500,501,500,282,115,800,503,501,696,800,282,800,16,503,649,953,649,504,452,615,500,282,800,501,503,752,282,282,502,649,282,503,502,503,363,16,636,800,501,502,800,503,539,800,800,503,502,16,800,501,933,503,16,800,800,502,16,500,800,501,450,502,501,800,503,544,502,503,500,800,500,800,503,503,800,800,500,16,501,26,501,500,503,502,500,501,260,503,502,282,500,502,503,800,16,503,800,501,501,502,502,503,504,500,501,780,768,502,503,501,500,504,503,282,503,500,500,502,649,500,282,951,502,649,500,501,501,501,649,284,215,649,41,501,500,501,853,749,504,500,500,501,502,501,800,800,500,800,649,502,501,501,800,234,800,800,500,503,503,502,800,503,500,800,649,503,503,501,501,447,736,501,503,502,502,649,503,282,282,501,501,501,800,266,649,649,800,503,800,649,503,282,16,504,107,501,282,282,502,649,503,501,800,282,649,107,581,800,500,504,503,502,502,649,906,502,800,649,503,107,501,502,800,500,976,649,130,501,937,649,500,503,800,809,501,649,198,541,800,800,500,926,16,649,800,502,500,584,800,501,795,501,501,649,503,501,503,500,503,107,649,401,502,501,501,503,501,503,503,501,746,504,503,502,500,687,500,83,501,501,500,649,216,503,800,503,350,649,501,502,787,502,500,501,800,282,800,502,16,649,500,501,16,649,16,649,850,502,502,800,502,502,500,649,149,282,800,501,649,387,502,500,328,649,117,502,800,500,503,501,800,649,501,649,107,282,282,282,649,649,379,771,649,426,800,800,103,800,502,16,800,800,927,649,282,502,800,502,649,649,752,16,52,500,16,502,82,649,501,501,649,261,649,282,501,16,501,501,831,649,501,800,503,100,502,500,503,81,649,649,501,502,649,892,649,649,503,16,502,501,774,504,649,501,503,500,800,501,502,282,503,16,800,28,502,502,501,649,504,800,500,502,800,800,800,500,501,800,282,800,502,800,649,502,503,100,500,533,501,800,649,64,649,500,502,16,107,502,282,800,800,999,178,502,503,503,502,503,500,946,773,500,500,800,501,500,503,963,552,503,503,502,649,502,501,676,503,282,107,501,501,800,500,282,340,917,501,500,500,502,500,841,282,59,501,500,282,124,502,800,227,649,501,500,501,649,282,800,800,649,502,649,649,501,501,800,800,503,282,502,501,503,503,800,16,500,502,501,825,204,500,503,504,500,502,649,500,800,503,649,503,800,282,649,386,363,504,502,282,502,16,502,800,16,800,282,800,800,782,503,502,282,649,649,503,16,500,500,502,800,502,303,500,16,500,501,649,503,649,500,503,649,503,800,448,649,503,503,503,649,500,649,501,782,800,502,282,501,39,649,800,500,107,558,502,649,853,800,16,501,800,503,282,800,523,503,503,501,649,282,500,240,282,501,500,503,649,501,503,751,500,649,502,413,501,16,649,504,500,501,503,554,800,649,501,502,500,503,502,632,500,500,282,649,131,502,502,503,500,502,166,502,502,800,649,501,283,604,503,483,931,649,501,800,282,500,649,503,501,800,502,800,282,282,503,800,800,282,501,192,683,503,502,503,103,800,693,800,501,429,500,282,502,800,401,917,649,503,800,16,800,800,503,501,500,502,502,649,502,502,649,500,800,800,503,649,649,800,500,501,122,501,503,503,287,501,649,502,503,500,502,774,691,501,502,800,649,502,503,649,649,800,500,502,503,649,649,800,800,501,282,500,500,500,504,649,649,649,800,649,649,500,672,282,800,107,800,503,502,800,649,714,503,282,503,502,800,501,417,501,282,501,800,800,800,504,502,500,282,502,649,502,503,800,496,907,687,500,500,241,282,500,649,501,733,16,649,501,550,503,649,800,800,282,282,500,800,502,502,649,502,47,282,503,649,16,282,649,503,500,503,649,649,501,519,500,501,501,282,500,103,800,800,814,41,502,502,502,649,401,613,502,649,503,504,502,502,502,603,282,501,800,501,503,790,649,282,501,501,649,107,500,502,414,800,282,16,122,800,800,800,501,501,649,800,993,649,502,500,604,502,410,502,501,503,500,800,649,502,501,649,649,503,500,501,649,800,502,500,501,800,502,500,500,501,502,800,107,503,503,282,501,649,500,502,16,649,649,502,424,500,282,733,503,649,502,504,717,500,501,503,501,500,502,107,503,282,800,237,502,649,500,503,16,800,649,501,502,501,503,16,171,800,500,282,501,275,800,503,475,800,500,649,500,501,503,649,282,500,503,142,502,501,500,500,503,282,16,800,282,282,705,705,500,282,500,504,810,649,500,501,800,649,649,515,503,16,760,502,503,500,503,282,958,501,282,501,59,500,649,501,502,800,500,503,501,500,503,800,880,501,649,649,503,746,503,800,16,500,502,502,503,501,501,800,16,800,800,800,500,800,800,800,503,649,500,502,500,800,503,501,500,501,504,800,502,501,282,411,394,811,501,500,627,800,500,502,501,800,502,51,502,649,800,800,282,649,800,500,503,338,569,16,697,500,1000,500,500,649,16,500,500,503,800,500,282,503,800,503,501,501,500,500,503,500,106,502,800,800,800,503,649,502,800,282,298,500,827,501,800,501,502,649,501,649,660,502,503,800,800,503,502,295,503,800,501,282,501,503,282,500,649,500,282,502,969,800,190,103,502,943,503,502,501,502,501,504,500,16,649,502,16,16,649,800,502,501,282,800,800,502,502,649,501,502,800,800,502,800,649,502,500,502,282,502,501,500,282,503,800,501,649,649,884,502,649,619,500,503,282,503,16,504,501,800,649,16,500,800,282,503,649,501,649,500,595,377,500,501,502,594,282,504,859,16,502,500,503,16,800,328,800,282,502,500,282,649,503,649,661,800,502,927,502,500,282,800,503,480,503,676,500,504,502,800,500,503,502,282,503,649,104,501,501,503,501,800,909,503,503,649,500,810,500,500,501,440,501,183,800,649,400,502,503,501,502,649,649,502,800,800,501,501,800,501,231,500,649,314,649,503,502,282,502,501,247,501,800,501,501,501,501,503,501,500,800,503,500,649,502,649,649,501,800,800,649,649,501,501,16,502,503,16,503,800,501,503,503,502,772,649,800,246,282,800,800,500,649,502,800,504,500,649,16,501,800,649,633,800,800,282,501,502,649,502,501,16,500,500,500,649,501,503,503,865,501,500,649,800,282,501,500,800,800,649,649,502,282,500,649,649,501,501,649,503,800,502,500,649,503,644,503,800,502,503,34,100,501,800,649,501,503,500,502,504,328,500,503,501,800,649,649,502,500,72,800,649,800,500,502,282,649,649,16,502,503,800,144,500,649,319,501,649,527,500,503,500,998,16,800,800,503,16,811,503,501,825,502,800,500,504,800,73,557,282,206,502,83,800,629,503,800,16,502,503,501,282,16,800,502,107,503,282,500,502,392,16,502,800,500,800,282,800,282,502,800,501,16,747,649,649,501,800,649,503,500,649,16,16,500,500,502,282,501,282,501,649,501,16,800,649,649,162,16,649,800,852,800,649,500,649,500,649,503,71,649,649,649,502,503,501,503,500,500,800,919,648,500,501,503,649,500,800,649,513,227,649,282,503,800,649,503,800,649,643,503,800,786,502,800,502,500,282,864,502,282,503,502,649,501,282,501,504,502,502,120,948,501,16,800,502,868,985,800,500,54,649,502,502,501,501,800,282,109,500,530,16,333,502,390,678,649,851,800,502,649,503,500,10,16,500,649,500,500,502,502,649,505,970,500,107,282,649,16,501,282,800,502,500,503,500,172,16,800,94,649,282,649,649,282,500,501,501,282,32,500,501,503,800,103,500,503,503,501,503,800,800,501,500,500,500,282,503,501,16,107,800,282,500,107,649,502,500,501,502,16,16,500,16,649,800,649,16,154,500,282,502,649,503,502,821,649,649,503,503,270,800,800,649,500,800,800,282,502,220,501,800,649,502,103,500,502,503,503,501,502,649,800,214,503,16,502,649,502,800,800,504,374,800,502,800,800,649,501,502,649,726,439,383,501,502,16,503,800,800,282,500,500,800,16,501,501,710,649,501,649,502,355,500,503,649,503,142,504,502,800,800,503,649,503,649,501,502,501,777,500,364,649,483,521,800,849,800,503,649,503,649,502,502,501,649,649,503,501,501,502,800,502,800,501,282,935,502,500,501,800,502,800,502,800,503,503,800,503,800,504,502,500,501,800,919,500,502,500,800,502,502,800,999,800,282,504,501,503,649,503,502,16,503,282,945,649,16,501,503,234,500,800,800,501,649,500,204,321,502,501,501,649,791,800,649,500,502,501,362,503,502,503,800,649,971,556,503,800,501,500,649,501,502,282,649,503,295,282,800,503,649,245,502,502,500,503,502,254,800,800,649,456,918,503,503,107,502,503,501,282,502,649,502,502,503,332,500,800,502,503,503,649,282,500,800,501,500,502,501,107,689,502,502,649,282,500,716,502,800,16,649,649,503,649,503,502,82,800,501,503,501,501,503,649,500,502,218,503,502,502,502,500,100,649,800,34,500,502,705,503,282,649,279,502,800,649,503,800,800,800,800,502,503,800,649,503,503,12,800,500,504,500,500,649,821,282,501,554,308,800,500,649,503,500,501,38,501,800,503,501,188,800,649,649,800,800,649,500,800,501,502,939,282,501,503,500,282,800,502,503,800,810,500,502,503,503,16,845,282,502,567,800,649,282,649,649,800,800,282,800,500,464,800,500,800,140,649,549,619,800,649,800,500,503,502,282,503,500,107,800,800,504,649,800,502,897,503,800,800,282,665,95,501,70,503,503,282,800,649,649,649,129,501,503,502,800,800,649,304,501,694,649,503,296,800,501,800,504,800,800,21,800,502,800,282,800,800,800,502,100,677,502,500,502,649,503,500,649,500,649,800,649,918,649,500,502,649,501,800,500,800,649,503,800,502,800,503,503,649,501,501,16,503,847,16,503,308,68,16,503,800,501,800,282,649,982,500,16,649,500,620,530,705,649,502,500,649,800,501,503,282,649,800,16,800,503,649,501,282,282,107,501,282,800,649,501,501,503,501,802,503,503,649,792,500,800,800,503,500,649,501,800,503,181,800,649,649,502,503,282,501,298,500,502,727,503,502,345,14,800,81,501,503,503,649,649,649,649,501,649,501,16,502,501,502,649,800,103,496,649,800,502,501,725,502,282,501,501,800,649,649,503,502,649,501,500,431,800,800,502,649,503,800,503,502,502,501,500,849,649,500,107,976,800,502,649,800,800,500,892,504,282,614,500,800,502,311,800,879,649,649,502,649,282,503,649,500,800,503,800,500,777,500,156,502,504,128,800,503,503,649,503,502,649,391,501,501,282,680,447,800,726,503,500,497,503,800,649,282,717,501,501,501,282,500,649,800,649,58,800,502,649,503,674,504,800,628,503,502,800,611,16,853,586,883,500,800,501,501,501,800,500,649,800,502,504,968,503,649,503,649,842,800,500,501,503,649,504,501,501,500,800,500,501,193,618,501,1,503,77,282,501,503,649,503,36,501,649,800,503,632,800,503,649,501,800,800,800,649,800,500,16,502,800,501,670,500,649,649,649,501,282,500,502,800,800,501,502,504,649,16,107,501,503,649,649,503,501,107,649,502,503,500,503,968,342,503,500,649,503,800,502,503,233,282,56,501,649,502,649,502,16,649,501,500,649,649,503,502,503,800,800,501,503,503,500,501,800,501,800,282,500,800,800,649,649,282,504,458,649,351,502,298,502,800,503,649,500,500,502,500,501,504,800,800,649,500,649,500,800,800,500,282,800,329,952,501,649,649,502,502,16,973,503,500,500,107,800,503,800,660,503,649,282,501,501,503,282,501,502,502,282,500,16,503,501,649,649,503,501,800,649,16,428,502,503,500,500,649,649,501,836,501,501,503,503,107,905,16,500,502,649,503,503,501,649,800,500,500,502,800,500,282,130,503,500,500,503,282,282,500,503,537,284,649,501,504,282,649,649,649,830,503,649,502,503,502,649,500,503,649,500,282,501,800,502,500,502,800,463,502,501,282,513,502,649,503,649,502,649,213,500,422,932,41,595,649,800,500,800,649,800,800,500,500,421,107,500,502,239,503,501,503,500,800,504,800,649,502,649,503,503,649,282,500,502,649,649,649,649,800,500,501,500,802,282,800,500,649,264,649,800,649,503,800,268,824,502,500,649,800,630,800,107,501,502,649,503,500,502,502,800,800,502,503,500,500,501,800,501,500,103,503,800,500,501,800,212,16,501,183,500,649,500,107,500,282,800,649,16,500,501,282,802,501,504,649,800,503,500,501,503,502,501,649,503,16,503,438,501,503,417,502,502,503,503,503,503,319,503,500,282,800,503,502,649,500,502,649,800,16,501,899,16,500,800,502,503,503,649,500,834,501,649,503,503,503,15,649,502,500,502,800,649,502,502,502,16,501,800,649,503,649,502,501,282,800,315,500,282,502,800,503,504,324,502,503,502,967,16,282,501,12,501,502,649,800,501,282,408,649,946,501,502,501,502,502,649,649,649,649,800,649,503,502,282,649,55,282,649,503,649,330,501,500,800,107,953,502,501,501,500,500,800,649,500,500,503,503,16,346,649,502,504,649,501,503,800,500,800,503,800,649,500,282,503,649,501,501,500,282,107,501,800,831,501,533,800,632,501,502,181,501,503,501,649,649,500,554,504,649,501,501,103,500,500,649,502,188,677,501,649,503,500,500,276,500,501,504,649,501,282,649,501,500,649,501,800,502,501,500,800,502,282,500,500,502,16,500,282,500,800,503,503,501,500,107,800,501,502,649,139,282,500,503,979,81,500,500,500,502,800,500,649,29,800,800,500,502,282,362,800,504,502,503,502,501,649,360,502,500,501,649,500,500,800,500,800,500,649,500,502,500,308,502,800,282,501,800,501,16,649,107,500,309,671,503,502,500,503,504,502,502,800,237,649,800,645,649,789,649,502,503,103,379,500,500,502,500,500,649,523,649,501,503,132,500,500,503,649,501,503,503,800,221,503,500,502,502,501,501,603,500,800,649,501,800,800,503,107,16,500,500,259,501,502,503,16,500,800,619,649,800,503,282,500,500,503,500,800,282,501,282,500,16,371,564,503,800,773,800,282,501,282,777,502,502,503,500,502,500,503,301,502,649,649,503,503,501,16,501,500,502,649,503,649,503,500,500,821,502,502,989,503,501,502,595,800,502,501,462,503,500,987,503,282,527,649,503,503,649,800,272,649,250,503,501,16,875,500,608,800,589,800,501,501,500,500,500,800,649,920,649,502,16,503,824,800,504,502,241,500,501,501,800,800,153,502,504,16,800,264,800,649,292,800,503,502,800,446,502,501,503,503,500,500,800,16,501,649,500,282,649,501,282,800,501,649,503,649,500,153,16,16,500,800,800,649,500,503,282,502,649,503,503,800,500,502,502,239,502,503,649,649,649,649,745,649,767,504,503,502,504,503,501,649,657,501,649,800,800,502,107,904,649,501,500,136,500,503,500,501,501,16,503,800,282,503,282,500,502,503,500,504,282,107,501,800,503,502,503,800,501,503,800,501,800,649,800,500,867,500,282,282,800,282,503,500,282,503,649,501,503,500,502,800,502,749,833,423,282,503,501,500,503,502,649,504,375,500,501,503,282,500,705,500,267,500,500,800,282,502,501,16,503,502,282,103,503,16,800,463,502,500,255,282,16,503,500,632,660,501,282,502,800,800,282,503,282,500,326,649,502,501,503,500,501,502,649,282,948,800,649,503,502,500,561,502,282,471,800,501,503,502,503,800,504,501,502,500,500,500,500,500,501,503,16,500,800,282,800,557,501,500,982,503,175,282,800,502,282,501,502,649,503,282,107,503,833,502,503,500,281,501,500,500,800,502,501,502,503,500,800,501,16,649,800,54,500,800,501,649,502,503,800,800,282,649,2,503,282,800,502,500,500,282,500,502,502,282,502,502,503,500,800,503,800,501,282,502,501,503,500,500,503,501,501,503,334,800,649,800,501,282,503,299,500,800,500,501,49,800,501,800,800,502,800,649,503,503,800,501,800,503,502,503,500,146,503,500,500,908,16,800,500,800,503,501,925,800,500,800,503,502,800,649,503,649,800,502,500,501,503,504,800,501,649,500,501,501,501,502,302,807,219,500,504,649,501,800,649,800,503,500,736,502,16,503,500,649,800,649,800,500,649,500,500,500,800,126,649,501,649,649,800,800,502,502,500,502,800,501,649,649,500,503,500,432,500,501,800,502,370,502,800,502,503,501,503,503,800,503,502,503,16,669,503,800,501,815,720,800,800,282,503,649,800,16,800,800,282,502,16,501,800,502,501,800,598,649,594,282,244,500,500,500,649,282,225,800,107,503,282,501,649,911,500,502,500,649,800,649,503,502,451,500,649,503,649,800,503,16,649,503,503,525,501,502,503,500,504,649,800,800,503,800,985,503,502,800,649,501,502,501,500,458,649,502,16,503,500,649,500,500,649,503,649,91,649,501,800,800,649,501,503,800,502,282,502,649,500,501,501,807,503,649,649,502,282,800,500,800,501,501,800,822,649,502,502,500,27,800,502,16,649,800,649,500,500,914,966,501,503,503,502,502,502,282,504,500,502,282,649,649,800,16,649,501,649,282,502,501,503,282,649,800,503,16,503,503,677,500,502,503,800,282,502,103,649,501,503,800,502,501,649,800,800,502,113,503,282,16,282,502,503,649,656,649,503,282,502,649,501,503,502,649,800,800,16,503,282,503,16,800,282,500,501,502,16,352,501,372,503,800,501,649,503,500,970,275,372,501,503,503,282,282,16,504,500,502,649,282,800,500,503,16,501,503,649,800,501,800,766,649,649,501,500,501,282,501,16,800,503,501,502,502,503,501,800,103,800,503,800,921,503,501,502,649,282,649,98,947,649,282,649,800,16,500,501,282,504,800,282,282,502,16,479,501,502,500,500,501,500,800,800,282,649,501,503,500,500,54,503,892,282,282,504,504,502,800,501,207,501,503,503,649,500,502,800,503,282,503,500,800,977,282,500,503,501,504,502,502,282,800,503,282,500,502,649,649,503,649,800,501,649,800,502,502,503,501,502,282,501,501,800,706,800,16,501,503,800,470,502,800,107,500,100,503,107,800,649,501,503,503,500,488,503,800,501,503,282,501,649,503,9,282,950,500,501,282,16,500,502,502,586,649,502,500,500,504,500,153,16,500,503,502,649,282,649,981,282,501,500,501,501,649,501,800,649,610,800,503,504,503,649,501,649,502,500,503,501,503,800,282,649,100,501,500,800,501,16,41,503,451,649,800,501,500,503,649,503,501,501,500,503,282,282,800,253,649,502,649,500,335,987,502,282,504,800,800,500,16,502,106,649,800,500,282,16,502,503,501,501,502,502,500,649,502,467,500,500,282,800,503,503,502,649,800,501,502,289,502,800,800,540,502,155,282,800,503,800,503,468,829,501,282,649,649,16,500,16,16,16,503,621,649,503,500,502,649,501,500,502,800,649,502,800,500,502,501,649,503,800,567,649,520,800,502,649,503,800,800,982,282,503,649,800,503,500,680,501,282,800,800,16,800,501,298,649,502,789,502,503,800,500,502,502,649,500,800,503,800,649,502,503,649,800,282,16,501,800,555,649,797,800,500,800,278,800,504,500,372,499,504,504,649,502,502,888,501,501,501,502,800,103,649,103,649,800,500,649,504,502,649,309,501,502,800,291,501,503,649,49,718,649,800,501,107,649,649,503,503,502,503,503,476,899,800,501,501,800,282,649,662,800,649,500,282,500,800,500,502,503,282,502,502,800,500,649,500,862,501,500,268,503,781,500,204,800,282,502,503,500,649,800,503,503,500,500,502,503,500,502,503,16,306,501,501,649,568,649,16,500,649,800,649,502,502,458,502,649,503,54,501,500,501,500,263,503,503,501,501,502,800,501,500,800,800,16,800,899,649,503,649,501,500,500,503,16,282,282,503,800,800,282,501,503,502,900,800,649,649,282,649,503,502,282,107,282,16,649,800,503,149,501,128,501,7,503,655,504,503,501,502,649,765,649,840,799,649,501,502,282,800,940,649,800,503,282,502,500,800,504,501,649,800,800,503,649,649,800,800,649,649,649,800,282,800,16,282,502,147,502,501,500,649,502,282,282,800,482,649,574,800,443,503,500,800,800,282,500,667,502,503,503,501,504,501,649,504,107,454,503,502,500,282,501,800,502,282,800,501,649,503,501,503,649,800,282,500,649,502,282,501,502,763,784,501,282,649,501,649,800,500,500,501,722,500,500,649,649,839,502,282,500,502,800,282,899,501,501,391,503,500,649,500,800,503,503,501,502,502,608,16,800,502,649,500,500,501,800,500,760,503,500,501,500,512,501,500,503,431,800,500,503,284,282,500,502,503,500,103,504,502,501,649,282,502,503,360,16,800,503,502,500,501,501,649,649,501,282,503,502,649,649,282,282,503,269,282,582,978,500,800,503,282,282,502,380,501,501,800,260,16,282,800,107,501,503,501,502,649,649,503,503,649,501,661,503,501,501,800,800,107,502,134,500,437,501,500,649,502,800,500,904,500,501,450,16,503,800,500,500,500,502,800,800,503,501,501,503,282,501,503,282,630,282,282,500,500,503,647,502,502,503,705,800,800,502,501,503,502,501,649,502,501,53,649,500,649,649,800,282,501,800,16,282,800,503,502,282,501,500,649,501,500,501,500,649,503,501,502,649,500,969,800,649,501,800,800,649,503,649,502,502,503,800,502,649,503,649,503,500,16,649,761,16,501,500,282,501,501,649,500,500,649,501,649,503,500,500,649,649,649,649,16,649,263,282,503,501,503,501,503,503,945,501,500,800,649,503,503,502,649,649,649,502,993,121,500,649,751,800,500,501,649,502,503,789,500,800,747,500,649,500,502,795,800,649,503,730,501,500,502,57,500,500,503,504,649,512,503,649,502,508,649,690,282,503,500,500,649,312,501,502,472,47,502,237,800,502,504,282,500,649,502,503,504,503,501,16,263,800,16,800,503,800,649,800,834,501,800,502,800,282,503,649,503,649,649,282,649,649,500,501,282,500,502,800,649,501,507,503,502,282,649,502,649,800,500,503,649,837,848,649,800,800,500,501,800,16,80,503,501,575,800,503,800,800,502,649,473,800,649,649,503,501,800,503,921,500,800,649,501,501,502,501,503,501,500,172,500,502,502,501,930,800,487,503,800,100,16,502,649,800,282,503,282,501,800,501,502,800,500,501,282,501,500,282,501,501,501,501,800,800,282,500,649,800,16,103,419,503,500,649,526,502,125,649,502,503,649,503,16,502,800,649,500,475,501,649,503,503,282,502,766,501,16,502,649,502,503,501,346,501,765,501,676,535,501,501,501,800,501,16,614,16,503,500,500,282,649,500,503,503,502,502,16,649,146,503,500,502,501,500,500,501,649,500,800,500,500,282,503,282,503,19,502,504,502,165,14,503,89,649,502,501,649,649,500,503,502,282,133,800,649,800,800,16,504,500,16,649,405,800,16,501,107,503,500,503,503,387,501,661,500,503,502,503,649,282,502,649,649,381,503,16,573,502,800,649,627,496,800,649,800,500,197,800,649,649,503,502,500,800,800,16,502,504,262,266,649,502,800,500,501,282,16,501,503,649,500,503,502,502,501,503,630,503,16,649,994,800,503,500,16,500,503,330,282,616,503,282,501,503,649,116,800,800,800,516,501,910,800,649,502,503,503,501,500,107,107,649,107,436,502,500,800,800,501,503,456,502,502,500,520,282,649,502,800,502,500,501,16,103,503,374,500,500,502,503,282,906,500,502,502,500,282,501,500,16,282,502,501,501,800,503,502,503,800,502,800,500,649,800,800,353,501,502,960,502,455,500,282,649,63,800,502,649,649,649,503,282,282,649,502,649,649,282,649,503,502,800,504,501,503,500,502,649,500,649,649,649,502,649,501,502,171,500,502,504,502,504,800,503,211,502,16,500,501,524,503,501,649,503,282,800,502,501,502,501,502,16,800,282,502,649,502,308,649,503,500,819,500,501,649,501,500,50,800,503,282,500,501,501,501,950,664,800,649,800,501,502,282,309,649,800,974,649,500,649,504,649,282,649,504,16,500,503,503,500,800,487,500,649,649,649,501,501,800,282,191,502,351,500,502,800,282,282,649,503,247,451,504,502,503,16,649,501,501,501,594,513,503,501,256,282,649,502,980,501,500,501,649,502,503,800,500,282,429,621,649,503,800,501,737,500,502,502,84,649,500,649,800,665,500,500,16,500,502,57,503,500,649,282,500,500,502,503,917,503,500,800,705,307,503,217,649,501,501,337,501,500,16,282,16,16,649,501,282,503,800,635,500,282,800,649,501,16,800,282,502,649,800,800,282,800,485,697,503,503,800,75,502,503,501,502,282,503,502,963,790,282,502,503,649,502,282,501,502,16,649,501,501,500,16,502,791,800,500,500,502,800,649,502,800,649,649,501,649,107,503,990,502,503,649,649,990,107,500,700,500,502,861,286,800,282,501,728,649,500,500,800,428,500,197,501,503,282,649,502,500,501,800,501,503,503,649,800,282,502,691,502,282,500,282,282,503,523,500,501,503,649,503,649,500,92,800,500,649,649,800,16,649,649,176,500,800,282,800,502,800,500,501,649,501,504,503,502,502,500,500,502,344,649,504,243,502,649,503,732,282,502,500,34,502,649,649,502,501,800,800,503,649,593,107,502,500,282,500,270,649,502,649,16,500,500,16,501,800,253,500,107,107,649,502,500,264,800,694,649,649,800,502,649,472,502,501,503,502,696,54,500,503,500,649,649,500,501,502,500,649,282,800,503,502,503,501,503,502,503,502,500,821,503,502,500,649,501,947,308,501,502,694,64,501,502,503,16,503,16,503,500,500,502,649,601,502,649,800,649,649,649,503,502,979,800,502,501,500,501,501,502,16,500,649,649,800,672,500,502,502,800,649,501,649,500,502,800,503,502,282,649,502,800,282,500,503,502,649,501,503,649,500,501,500,800,649,158,502,503,800,16,966,500,800,502,649,501,502,282,503,503,503,500,503,500,501,503,501,800,272,649,649,501,807,649,800,503,503,503,501,800,800,649,800,649,502,884,503,501,649,503,800,501,500,649,502,116,282,503,502,282,502,503,501,649,500,500,501,501,502,800,9,368,16,800,503,800,501,649,502,502,500,800,800,502,408,502,501,280,501,503,503,800,264,800,503,503,649,503,501,502,502,282,649,649,866,16,500,282,103,800,16,501,502,503,501,800,502,647,503,282,503,503,503,503,502,649,503,502,800,800,800,558,501,282,800,717,634,501,800,800,503,501,502,503,800,282,501,503,435,502,502,800,501,501,501,686,501,525,502,649,502,649,649,502,500,800,649,800,503,502,502,500,649,800,649,800,501,500,503,503,501,800,260,503,800,502,501,800,503,501,503,502,800,500,503,500,282,649,500,501,500,649,800,649,649,500,930,800,500,861,500,503,735,282,502,800,500,477,16,282,282,282,502,800,800,502,649,282,649,649,503,800,501,800,800,503,93,502,501,209,500,800,282,501,501,502,500,502,500,501,500,500,501,800,500,107,502,500,649,807,649,28,501,822,503,367,282,500,500,503,503,16,649,649,502,503,502,501,16,649,800,500,503,501,500,282,500,436,282,341,282,500,501,16,503,16,503,501,501,502,800,502,766,649,649,746,502,276,800,501,500,503,649,282,915,746,501,502,501,500,712,800,396,500,501,800,502,500,501,649,503,500,502,649,282,502,503,501,577,504,503,962,501,895,649,503,503,649,502,264,503,604,502,503,649,800,501,503,502,501,501,503,107,500,928,503,800,649,500,504,216,503,800,7,282,800,449,272,501,502,500,503,118,282,800,503,501,502,800,502,503,649,503,501,502,620,503,502,322,282,500,800,649,103,107,500,282,501,800,501,280,107,800,502,282,502,503,282,282,800,501,282,282,501,800,503,503,649,16,502,501,800,500,887,500,501,16,501,503,532,800,181,500,282,107,800,500,170,800,16,294,282,502,500,582,503,500,649,800,500,282,501,500,107,500,501,649,649,500,65,310,503,501,282,503,502,173,503,285,800,649,656,16,649,501,807,800,501,500,501,649,649,500,502,502,503,649,501,502,503,282,501,501,503,649,800,800,503,502,501,16,649,501,503,500,502,502,649,501,502,34,283,649,500,503,649,60,649,282,800,500,502,502,649,282,501,500,500,501,502,16,500,649,16,502,915,501,500,160,649,371,403,189,502,16,800,502,502,183,502,501,501,501,501,501,800,649,501,500,500,500,502,500,16,800,502,501,282,800,503,649,16,501,649,503,502,649,500,500,502,500,649,205,649,500,649,16,504,504,800,502,500,500,22,501,503,585,502,649,571,501,503,573,800,649,500,649,800,500,649,282,500,512,502,501,282,503,500,500,16,282,355,500,501,500,500,873,282,800,649,800,800,503,502,649,503,502,503,500,500,649,220,500,503,800,118,649,738,502,500,800,503,649,423,649,282,502,209,800,282,502,282,282,503,501,500,501,16,501,649,504,501,446,282,501,669,501,598,500,501,500,500,800,504,355,501,103,752,282,504,107,503,802,503,140,503,649,469,812,502,500,800,649,502,500,503,800,117,16,800,501,501,500,180,500,501,800,800,973,649,16,800,649,807,501,107,800,500,500,16,16,800,649,649,501,282,502,502,502,800,500,282,501,649,501,107,282,800,800,16,103,800,649,501,800,800,503,503,107,500,282,563,503,649,502,464,800,800,500,649,500,282,502,501,504,502,500,503,227,16,800,503,649,282,649,500,502,649,800,501,503,500,800,500,282,16,336,501,732,282,16,503,807,800,501,850,503,500,500,503,800,649,829,503,800,500,649,501,800,501,649,501,503,500,300,501,863,100,500,503,501,649,500,800,34,501,502,372,944,602,649,649,501,503,500,503,503,502,649,800,500,501,500,649,500,500,649,145,501,501,501,531,107,282,396,503,649,387,16,649,649,502,502,500,800,502,649,501,502,501,500,500,282,500,503,504,500,649,500,500,16,282,503,501,502,800,502,190,503,501,649,537,500,502,503,649,800,500,502,624,800,649,649,649,649,800,503,500,649,282,503,500,502,504,500,503,502,502,282,439,800,501,282,502,649,501,502,500,282,800,800,790,502,649,500,595,649,502,16,737,502,500,800,16,503,501,649,503,500,649,501,800,500,502,500,503,649,800,634,501,503,282,501,503,502,800,501,800,500,649,501,378,986,103,501,133,500,888,503,500,800,500,501,649,500,502,501,500,826,649,649,501,501,501,282,504,501,501,502,282,103,502,320,649,503,500,503,124,800,918,783,649,800,500,649,649,566,500,504,58,700,800,703,501,807,800,503,500,16,649,501,500,503,501,800,500,502,282,501,501,501,507,504,649,282,100,800,503,649,800,501,274,649,282,807,502,839,503,282,503,282,502,800,501,282,649,503,800,649,107,800,282,282,800,500,800,649,500,130,502,800,113,727,649,500,502,503,502,503,501,501,502,103,282,800,502,282,243,800,502,649,503,503,649,279,500,649,766,501,503,501,501,649,500,146,649,16,282,175,282,649,502,800,537,649,282,502,503,503,800,449,503,500,263,502,503,485,182,504,122,649,649,501,800,503,649,501,981,501,282,501,800,501,501,800,502,500,501,501,503,649,500,16,502,649,282,800,503,502,503,649,500,649,500,500,800,502,503,649,501,16,800,800,504,282,500,775,103,503,103,16,502,501,649,649,503,500,503,53,502,503,502,800,215,501,503,500,500,504,282,500,107,26,502,964,500,503,500,800,282,500,370,649,503,649,501,502,86,800,500,503,501,800,282,503,724,503,800,500,500,500,649,953,502,800,503,649,501,501,503,649,501,503,282,500,503,525,282,137,800,649,282,649,282,503,502,503,141,103,16,649,800,915,649,800,282,500,282,503,282,282,501,502,674,683,800,282,500,649,501,649,501,502,503,501,502,500,441,649,501,19,504,500,805,502,502,649,282,800,16,649,500,500,649,162,503,282,51,502,16,800,107,504,500,965,800,800,16,649,502,649,800,56,503,649,800,649,501,800,501,501,501,500,800,800,148,58,501,503,649,500,282,501,502,649,282,500,649,800,501,584,800,501,500,501,503,503,503,501,500,500,502,500,501,649,502,501,503,280,899,526,502,649,500,149,501,800,16,501,800,500,649,502,107,106,500,800,503,503,501,503,476,149,503,501,503,649,649,282,503,502,649,500,874,649,649,475,649,503,503,800,503,502,649,649,503,503,136,504,503,282,107,192,502,580,649,649,649,649,16,501,282,503,503,16,501,500,649,503,503,503,968,649,649,502,649,100,649,500,502,500,282,282,500,504,282,800,282,649,502,502,649,504,501,649,649,503,282,282,16,107,503,500,800,503,503,649,504,502,503,500,503,500,649,502,501,502,359,938,502,282,16,503,103,503,800,500,502,649,502,282,500,503,16,800,282,503,917,502,503,649,503,503,800,500,649,500,649,649,501,282,16,95,500,282,502,500,501,501,502,503,649,501,500,501,800,503,107,127,800,502,500,500,504,649,500,501,461,654,649,649,16,800,282,649,501,16,503,502,649,660,649,500,500,55,501,501,502,282,649,649,503,800,503,502,649,502,282,649,502,503,504,800,800,503,800,16,800,16,503,502,649,500,501,501,502,16,500,16,500,800,503,502,501,649,411,500,643,800,503,500,501,800,500,501,502,500,504,282,649,282,500,649,800,285,501,601,501,800,501,710,502,501,800,500,282,501,800,503,501,649,502,649,501,501,800,503,503,500,103,503,501,503,502,282,350,649,501,777,800,282,649,800,649,500,282,501,649,502,500,16,548,282,502,800,503,649,503,501,503,502,649,501,16,503,800,502,800,502,503,501,772,501,501,800,649,503,501,800,502,282,503,649,503,500,104,503,800,502,100,649,503,502,800,503,649,500,649,649,500,500,107,501,621,502,282,502,688,502,800,800,800,503,503,501,500,282,500,450,114,503,649,352,107,502,502,503,502,502,800,502,800,800,503,500,503,800,487,738,800,800,502,501,16,800,503,502,502,501,16,502,502,503,282,800,502,501,800,649,807,282,649,800,103,502,501,501,503,922,800,502,501,500,501,502,500,649,503,502,501,649,501,500,500,16,16,502,503,16,461,503,503,504,500,800,500,649,16,503,800,91,220,502,952,649,800,282,999,282,649,501,623,800,502,304,555,282,282,800,501,800,282,503,282,502,500,500,649,800,500,502,501,649,503,282,501,238,503,502,502,502,107,503,500,800,502,103,503,882,331,503,502,649,502,282,501,800,649,968,500,503,649,282,501,282,501,502,649,501,649,502,502,500,649,282,649,649,501,649,649,16,501,503,705,800,501,502,501,500,649,501,500,282,282,649,649,649,500,800,649,649,501,800,800,500,850,800,500,800,282,502,649,501,502,881,649,501,561,226,800,501,188,361,649,502,688,504,800,501,800,502,730,502,503,500,800,500,282,649,502,501,840,501,501,503,501,503,15,502,501,800,501,500,501,501,649,685,502,500,502,282,282,16,503,16,649,500,705,800,504,502,800,658,501,501,649,501,501,503,503,503,388,16,649,649,800,502,503,502,500,16,504,503,282,500,282,649,500,503,502,299,800,800,800,800,500,649,502,800,251,500,500,800,504,800,502,800,503,649,502,654,503,107,500,861,500,649,503,800,500,977,667,503,388,649,503,282,649,500,649,500,502,502,800,501,649,649,502,502,649,503,502,800,863,501,501,501,649,282,503,800,912,501,282,503,977,503,800,502,501,500,649,500,502,358,516,16,500,246,502,800,500,501,502,500,501,800,503,573,199,500,503,504,800,502,501,282,502,649,48,282,500,972,800,800,282,501,649,502,503,503,649,800,500,649,501,503,351,502,501,502,502,767,800,649,501,107,607,800,500,502,282,502,800,152,501,649,103,500,649,391,20,453,107,800,500,819,502,649,800,282,503,103,420,27,282,807,399,800,648,503,282,734,503,503,503,503,503,500,500,800,503,502,502,501,410,800,482,503,501,282,502,800,846,311,800,500,524,502,501,732,502,503,503,649,502,503,502,649,501,500,376,649,500,232,800,668,408,758,649,501,501,504,800,282,500,503,502,503,426,705,649,500,800,501,503,649,800,806,503,705,649,282,649,500,503,282,705,500,500,525,800,649,282,503,502,503,800,649,504,502,500,800,502,129,503,501,16,800,500,502,649,501,503,636,500,503,800,649,282,282,703,502,800,107,503,500,502,501,649,649,502,501,649,502,836,649,500,822,800,800,649,500,502,649,501,649,525,539,501,800,504,503,501,800,649,502,16,501,503,501,16,501,649,62,502,282,800,649,800,503,649,503,649,282,502,649,501,800,503,182,649,649,107,501,503,481,649,800,800,501,500,500,503,282,16,649,649,800,876,503,500,503,502,800,282,557,501,502,501,500,500,800,501,501,800,502,52,795,502,503,503,800,282,503,16,800,282,649,501,502,501,500,649,800,502,649,503,501,500,800,649,451,503,502,501,502,840,649,800,502,501,800,282,348,649,308,110,503,705,501,502,503,501,502,649,404,501,500,500,939,503,503,503,501,107,800,282,503,800,501,800,282,800,68,503,788,649,503,649,504,800,502,500,800,786,282,16,500,502,429,501,500,500,649,501,282,500,500,502,503,132,676,500,800,501,501,503,649,503,503,3,503,501,501,501,503,500,649,504,282,649,649,502,502,800,537,501,502,282,503,800,503,502,321,500,502,501,800,649,800,504,800,503,800,502,800,800,800,503,800,500,500,502,649,503,282,500,16,800,503,503,502,501,649,761,500,502,800,500,282,502,501,800,502,649,500,28,500,503,592,503,178,503,574,649,502,800,501,500,500,800,800,282,500,649,910,194,282,16,502,501,633,282,649,503,800,503,649,807,500,502,503,107,500,501,800,649,649,800,502,649,422,464,649,501,503,649,500,500,501,500,501,502,649,800,500,501,500,501,503,979,501,332,503,649,800,503,500,800,500,856,826,800,503,501,502,501,800,501,282,500,500,500,502,503,313,855,503,800,367,503,503,649,503,522,503,733,16,503,649,800,265,503,502,502,282,800,503,502,503,501,800,649,502,501,503,502,649,503,135,503,800,501,987,501,649,503,503,103,503,484,876,501,502,502,850,647,503,649,502,509,501,417,749,180,800,649,800,107,502,649,800,500,731,845,501,61,501,649,500,649,501,502,649,501,502,800,539,940,800,500,501,501,689,844,649,649,800,501,282,501,800,299,800,502,503,501,503,503,800,503,500,282,657,103,500,504,501,282,649,800,503,502,503,649,502,503,800,964,282,800,800,500,501,16,503,282,30,501,912,502,501,501,282,503,557,800,649,282,282,800,768,364,800,649,501,836,485,800,927,649,503,26,649,800,282,989,649,282,161,800,614,503,636,500,500,500,649,100,500,141,502,501,501,500,3,504,502,503,500,502,503,501,502,984,501,649,649,501,649,500,16,501,649,501,800,502,231,649,500,502,235,282,282,800,501,503,503,800,44,649,503,800,503,800,282,282,803,503,649,649,649,501,500,500,350,503,502,800,800,501,504,649,649,501,503,502,500,502,129,503,502,603,282,673,501,501,305,282,649,800,800,649,500,649,959,48,64,503,16,503,800,503,800,500,500,16,500,500,462,800,886,503,649,800,500,501,282,800,282,502,649,418,500,501,501,500,649,503,504,503,929,503,500,500,943,282,649,107,502,282,502,502,502,649,502,500,998,649,501,500,282,501,502,500,500,16,501,503,504,501,501,503,345,282,500,503,501,800,502,500,501,649,649,135,501,800,107,800,649,500,524,502,59,103,649,502,501,800,501,502,501,282,16,800,503,800,501,501,963,282,503,501,649,500,585,800,649,649,501,649,501,733,919,649,502,800,16,800,500,500,502,504,16,107,282,495,282,500,502,315,503,97,800,501,654,501,282,649,649,649,503,504,282,800,800,649,503,649,850,500,16,501,502,522,800,649,649,501,800,502,282,800,502,501,800,503,503,297,16,502,503,649,503,417,649,502,649,824,504,504,501,16,501,866,500,501,501,501,107,937,800,649,649,16,800,446,103,503,504,184,649,500,16,282,641,800,503,500,484,501,649,282,502,502,504,500,500,800,504,500,649,502,282,503,501,557,501,649,501,705,502,500,503,928,649,503,649,448,503,501,500,301,800,649,649,16,503,800,500,171,814,649,502,500,504,16,655,800,282,800,500,649,649,16,501,502,158,16,649,502,502,503,649,649,994,934,107,649,800,800,800,500,16,649,800,502,503,16,502,501,593,501,16,500,502,503,649,500,503,502,646,649,502,649,503,501,500,800,800,722,268,503,800,501,502,16,800,753,649,500,503,478,501,649,208,502,721,502,649,502,500,714,501,500,348,482,502,501,501,501,500,282,501,502,649,800,16,649,503,16,503,649,500,649,500,649,800,500,649,807,649,503,649,910,502,500,500,16,500,800,501,649,282,800,376,649,649,501,282,505,503,297,738,649,503,107,800,282,649,649,501,649,503,503,501,482,502,524,501,800,16,501,800,587,649,501,502,649,503,649,282,649,501,103,503,503,501,503,501,500,501,500,16,800,157,501,800,649,800,503,171,800,501,103,501,649,800,16,855,503,502,503,503,502,16,322,501,500,503,543,502,504,800,503,504,501,503,649,503,500,502,501,649,649,527,239,800,800,16,500,500,503,800,502,28,800,500,502,649,500,184,16,649,282,501,500,800,503,500,500,503,503,649,649,503,500,501,800,503,800,501,283,815,504,500,500,649,67,501,501,501,649,649,649,341,649,500,502,40,502,103,502,649,501,103,649,503,501,502,500,500,222,103,800,502,649,501,500,501,649,649,649,501,649,653,503,501,464,649,800,502,311,502,503,282,649,156,503,500,503,502,500,830,503,500,501,501,500,503,500,649,503,503,502,749,649,502,649,95,502,800,500,501,930,649,502,501,282,501,502,800,451,500,16,501,649,501,800,768,501,647,800,800,624,503,463,501,502,504,800,501,800,478,282,649,800,502,501,649,501,503,502,282,502,282,501,504,649,503,800,502,502,823,501,649,800,502,503,500,503,501,282,341,800,649,500,502,878,507,502,800,503,503,503,501,649,501,649,502,970,503,527,649,282,649,800,498,800,800,501,502,649,705,504,500,130,502,504,503,282,500,649,282,502,502,500,800,500,500,649,282,282,800,800,895,649,502,503,166,649,16,502,502,16,500,503,501,649,500,501,800,500,503,500,869,485,649,502,282,800,649,282,502,501,282,800,282,282,503,800,500,649,359,503,501,800,800,649,800,16,800,503,282,796,503,501,649,503,501,800,503,800,800,649,842,294,501,503,501,800,500,282,800,282,906,501,508,390,501,800,282,713,204,649,16,582,649,502,649,649,583,649,501,649,649,500,282,703,649,282,103,501,502,649,504,503,485,503,780,649,800,464,500,503,500,503,16,16,16,252,501,502,282,503,785,800,495,501,115,807,500,649,189,569,800,501,501,800,502,501,845,288,501,500,566,501,500,800,500,800,282,524,379,500,193,649,503,503,345,800,649,501,800,157,501,84,501,800,500,502,94,579,502,649,800,503,178,500,503,503,500,500,800,649,503,501,501,501,363,282,16,15,503,500,800,501,502,282,282,800,814,649,649,385,500,501,502,800,500,818,502,503,250,762,308,501,649,107,649,503,502,501,282,504,319,282,500,501,502,800,580,20,649,282,503,649,800,502,155,649,800,649,502,503,649,501,502,502,649,389,501,649,800,649,502,107,502,649,800,504,500,502,502,243,502,800,305,503,282,649,503,800,800,500,16,282,649,38,442,500,500,282,107,501,500,649,800,800,800,502,500,501,649,649,501,503,260,502,500,501,501,649,649,209,501,503,649,898,800,800,502,16,16,179,503,501,502,504,800,502,649,503,649,649,500,800,47,502,503,503,282,800,502,502,503,500,649,502,502,93,969,502,800,438,649,282,500,800,649,282,282,501,501,649,513,103,45,500,649,501,501,500,649,502,501,649,501,500,657,649,501,787,800,500,502,501,503,503,503,504,800,501,649,649,235,503,560,503,800,282,502,282,68,502,500,649,500,501,502,800,501,500,503,501,503,501,501,502,649,800,503,500,501,501,501,10,16,501,847,502,16,800,649,500,800,502,649,500,503,502,800,649,502,16,503,501,945,16,649,502,649,502,649,501,16,502,649,503,800,916,503,800,800,501,800,501,282,502,503,501,649,503,649,16,500,500,266,649,16,800,649,500,229,649,501,502,502,501,501,800,421,800,282,649,502,627,649,800,500,500,500,342,500,282,800,502,649,282,649,500,503,501,649,649,649,107,501,742,282,561,502,501,282,502,216,502,501,649,282,16,501,852,649,800,800,501,103,800,800,500,8,502,779,800,501,503,282,500,649,329,500,649,257,800,191,501,649,502,501,16,503,504,501,503,503,16,502,3,282,649,501,649,649,501,502,503,503,234,500,503,502,801,500,800,500,282,978,500,503,502,501,649,649,800,501,504,503,502,800,500,501,141,800,103,501,501,649,282,500,501,503,649,502,501,501,500,502,502,941,282,649,107,800,500,501,502,503,282,556,800,501,800,649,502,16,503,502,500,503,593,503,649,800,800,800,547,502,649,500,502,503,16,254,800,16,501,500,57,800,649,503,282,502,500,649,501,502,503,649,500,502,502,649,503,502,374,502,503,16,501,142,228,501,501,649,16,503,800,649,31,282,649,800,569,503,460,649,800,500,800,142,500,800,833,503,502,482,282,907,502,500,500,282,800,503,800,501,649,995,649,502,501,800,649,502,502,800,813,800,649,502,16,649,502,649,107,503,926,500,282,649,508,501,502,503,504,800,501,383,502,504,503,503,800,503,502,16,800,500,800,502,581,500,502,500,800,503,500,500,282,503,503,649,649,657,649,503,649,649,16,800,503,500,375,501,282,501,649,502,649,16,500,503,16,502,500,500,103,503,500,107,649,501,500,502,742,800,333,16,649,800,504,862,300,502,800,282,282,649,503,502,800,800,502,883,800,639,649,800,501,800,186,649,649,720,503,100,501,501,800,331,649,649,503,800,103,16,852,501,503,573,501,500,501,501,501,500,800,705,501,503,800,500,800,502,800,800,502,500,103,500,502,649,503,800,501,500,502,501,985,501,800,504,501,500,503,500,502,800,282,503,503,282,503,282,800,347,503,500,16,501,800,74,991,502,800,800,16,500,500,500,800,800,800,800,103,800,504,501,501,649,503,504,939,800,649,500,116,800,500,500,649,635,503,500,800,503,502,500,502,502,501,16,727,502,502,799,294,649,502,500,503,852,501,40,282,503,503,800,502,800,649,965,503,502,696,649,500,500,501,500,503,139,16,502,504,503,16,649,649,502,502,500,500,800,401,500,33,501,800,649,800,16,503,500,501,502,649,501,743,503,501,16,311,649,503,500,649,375,800,800,16,649,16,649,501,162,503,501,501,500,503,594,649,504,649,502,282,503,649,800,501,649,502,136,501,905,800,502,500,282,800,606,503,649,800,992,501,501,501,181,649,501,503,649,503,565,16,503,501,500,282,800,649,501,800,490,649,503,649,800,658,500,502,649,649,501,500,503,503,502,501,262,16,177,501,784,502,501,501,800,282,502,649,501,867,501,502,500,502,649,501,502,504,282,500,503,800,16,502,502,503,503,500,502,501,502,502,107,503,800,500,282,200,619,649,282,500,500,500,500,500,649,282,502,649,282,502,503,500,298,500,282,503,649,503,197,800,502,650,649,800,649,649,16,501,500,91,500,503,500,649,476,503,750,374,502,649,282,500,800,502,502,502,502,502,282,282,500,500,504,800,800,949,734,16,503,500,953,800,800,501,800,649,649,503,282,503,649,503,501,503,68,501,107,282,502,503,500,16,503,800,238,800,649,800,649,500,502,854,500,502,500,501,377,16,800,503,649,502,500,649,502,503,800,598,800,613,800,800,800,502,501,500,502,800,107,500,282,502,500,282,504,501,500,500,501,649,503,500,504,500,649,503,502,503,500,649,100,502,800,503,800,500,503,502,503,502,16,785,501,500,501,501,282,502,501,500,282,800,501,501,503,502,503,232,284,282,500,649,503,500,502,649,501,500,502,503,503,622,501,800,503,16,282,502,282,501,500,501,316,500,829,649,282,501,501,473,503,500,800,501,503,649,503,282,649,649,502,198,502,649,282,929,16,696,649,503,501,374,649,103,503,800,501,800,800,502,500,383,649,503,413,649,501,502,500,500,649,800,500,800,800,501,282,501,649,503,563,502,649,503,502,321,502,501,282,282,11,500,282,502,800,649,500,16,35,501,807,502,16,800,649,649,282,500,502,16,503,649,800,649,282,504,800,800,649,387,501,502,649,501,800,501,501,500,500,47,282,501,502,282,800,501,800,1,502,503,501,502,800,709,501,501,649,282,503,501,500,500,649,649,500,500,164,500,501,649,800,649,800,649,502,418,800,649,503,800,503,649,864,870,500,503,800,501,800,503,649,649,500,800,503,800,503,103,800,282,282,649,649,131,649,501,484,214,502,501,504,649,282,649,567,282,503,800,500,418,501,340,501,501,800,501,500,174,282,282,503,800,500,501,649,649,501,575,500,64,967,800,16,800,501,502,503,649,649,500,800,500,800,503,426,649,649,800,282,649,341,16,500,503,500,502,16,282,16,649,502,501,500,501,502,503,800,16,500,649,16,800,503,282,800,500,502,649,502,502,500,501,649,501,504,800,500,649,501,503,501,649,501,501,500,16,649,63,501,800,800,500,16,282,501,501,503,500,800,500,16,800,502,945,806,876,503,282,503,649,16,649,649,502,501,649,800,502,282,501,501,500,502,501,500,504,501,649,502,800,500,800,502,500,282,502,800,16,502,502,800,157,649,502,16,649,502,501,649,807,154,500,500,502,501,500,502,800,649,501,800,500,647,500,500,504,649,16,282,502,500,501,502,500,500,502,800,649,502,502,500,381,649,503,503,800,649,621,513,503,500,266,800,800,501,800,945,649,800,955,649,503,649,16,917,130,649,800,649,44,16,501,502,501,503,754,800,82,800,500,503,649,800,17,500,800,16,500,500,441,282,649,500,503,502,503,800,503,500,501,501,503,502,293,282,502,503,502,503,16,506,649,500,282,503,503,501,501,500,503,649,879,83,500,800,800,503,503,800,509,501,501,649,502,737,103,503,515,502,107,502,83,502,800,501,282,503,711,800,16,621,649,504,501,874,649,649,649,502,500,502,800,500,500,800,282,501,800,503,504,500,800,337,509,501,500,500,500,500,16,502,649,501,503,500,502,649,500,503,500,501,800,504,947,282,800,282,649,501,501,800,767,503,502,800,649,282,107,649,800,649,800,282,500,220,887,800,282,16,503,503,282,503,501,649,282,501,500,502,800,649,282,503,500,501,501,649,730,16,500,502,679,503,282,503,500,649,800,649,503,282,946,502,500,502,16,800,649,501,500,401,649,503,107,501,649,503,301,800,649,282,503,501,500,501,503,800,500,649,282,502,992,800,649,800,800,501,503,522,993,503,649,103,501,16,502,503,500,800,649,800,503,649,800,503,282,282,226,649,503,502,800,16,649,250,502,501,649,501,800,500,587,705,500,500,500,501,103,502,649,282,500,501,500,501,563,482,502,649,500,500,503,800,998,501,436,800,501,649,16,800,840,649,503,503,500,16,359,162,500,503,116,817,502,856,649,503,501,502,501,503,477,501,282,649,282,502,503,938,501,767,282,500,649,282,503,85,284,501,502,649,500,500,503,503,501,500,660,726,503,501,800,502,501,501,503,649,502,500,501,500,501,502,317,482,502,503,503,500,800,269,503,800,337,16,500,502,649,605,649,501,501,503,800,103,56,500,393,500,282,503,500,500,504,500,800,13,503,500,435,502,282,944,503,649,503,133,501,501,282,282,649,649,503,800,887,125,502,501,502,501,666,501,649,800,502,282,282,163,501,500,501,503,503,487,500,649,502,500,503,16,282,51,961,649,800,404,649,103,501,16,500,649,501,16,502,501,800,232,502,501,553,501,504,800,736,502,502,67,502,502,649,501,502,500,649,815,187,358,686,501,503,282,649,502,500,800,571,503,500,500,282,63,503,504,503,500,649,649,649,500,800,500,500,969,282,282,501,502,649,282,643,497,501,282,502,103,74,282,800,500,503,16,800,503,504,800,502,503,501,503,323,800,500,800,649,501,503,501,800,800,501,501,501,282,649,406,503,282,500,501,500,800,164,800,500,800,649,502,655,649,503,502,503,282,38,800,282,503,649,502,649,16,503,502,865,503,649,649,282,500,500,501,346,503,289,500,503,503,800,502,502,503,181,500,500,502,503,501,502,800,501,16,502,500,502,282,501,500,503,363,503,501,504,398,282,800,800,503,753,306,501,502,353,503,501,649,503,502,500,649,649,504,501,503,16,503,649,500,76,800,501,282,503,800,501,501,501,500,282,500,16,502,368,503,500,16,800,500,16,503,649,503,800,800,649,282,500,800,500,503,503,501,649,500,500,391,16,502,501,502,502,500,649,501,282,503,503,502,502,649,649,501,501,800,800,502,500,501,649,500,501,649,500,501,800,500,500,502,500,503,800,500,501,502,773,500,503,502,800,502,649,16,649,649,800,800,500,500,649,282,432,501,503,949,502,800,501,501,501,649,501,503,500,800,383,800,91,502,502,107,800,501,800,500,282,500,500,589,107,500,502,282,502,16,800,503,502,800,502,504,502,649,800,800,130,800,501,800,649,502,504,800,500,500,501,502,878,503,500,649,800,800,503,500,501,502,107,501,649,501,500,500,649,649,649,16,16,502,500,502,649,649,800,16,362,503,503,282,501,800,649,502,800,354,643,649,800,800,800,800,415,649,503,501,502,502,500,502,501,107,502,649,800,282,800,502,501,107,500,649,504,501,503,649,503,587,503,282,502,16,261,503,503,503,800,504,800,607,943,501,723,649,501,500,649,501,282,37,502,502,500,500,800,749,502,500,501,282,213,500,503,503,501,649,107,649,649,649,501,107,649,502,293,500,520,16,503,504,107,503,649,500,502,502,501,503,502,73,800,501,501,800,649,649,501,502,16,649,502,282,503,649,411,649,800,501,800,800,154,328,502,232,503,503,649,231,501,16,500,126,16,800,500,282,503,502,649,16,800,502,501,503,502,501,501,649,503,18,502,800,503,502,501,502,500,16,503,800,103,824,501,501,503,649,502,500,12,503,800,140,282,800,649,501,800,502,503,503,503,503,282,503,502,502,101,502,500,502,501,503,504,501,16,649,500,649,16,501,503,800,649,500,233,800,800,501,501,800,249,502,282,500,501,649,800,800,502,501,500,501,649,800,649,500,503,282,611,501,503,800,91,502,500,500,558,503,282,16,800,501,282,501,282,800,282,502,282,282,503,107,502,500,503,800,800,501,800,649,282,502,501,673,502,500,800,649,502,502,800,503,503,800,502,800,62,500,16,516,649,107,501,501,501,500,275,503,282,504,501,16,649,500,649,501,800,282,501,503,500,649,649,649,850,501,649,423,503,758,503,282,16,502,500,16,800,107,649,502,430,800,410,500,162,800,179,504,800,282,500,501,649,501,800,855,500,589,502,501,502,501,649,502,503,500,649,282,800,649,107,649,143,500,502,649,16,501,502,501,649,501,649,500,956,649,107,282,843,282,16,800,501,503,800,800,501,503,282,282,14,800,502,503,502,500,502,501,502,282,649,649,297,657,502,504,166,928,800,504,503,800,282,500,501,16,504,649,800,800,282,501,800,960,551,500,502,322,500,502,649,800,649,282,500,922,500,649,477,800,960,501,503,503,502,501,500,501,649,502,503,501,500,501,502,502,800,282,800,33,403,977,504,503,298,501,503,649,501,800,501,500,800,501,649,501,800,503,800,282,500,501,243,501,500,649,502,501,800,800,649,500,649,649,503,503,501,712,298,800,501,500,500,502,800,502,282,503,800,503,908,501,503,800,596,502,502,649,282,502,838,649,500,649,502,389,800,800,800,602,16,153,502,502,502,649,965,500,500,503,800,502,758,800,502,500,649,503,800,680,502,500,503,800,30,503,500,728,800,649,502,500,649,98,502,501,502,800,456,500,649,918,501,500,500,800,282,500,501,500,500,649,282,503,503,649,649,503,500,503,501,649,649,500,502,800,282,534,503,970,502,503,143,503,330,502,500,736,501,800,500,503,503,503,874,649,329,501,649,503,800,501,461,503,500,257,500,502,503,502,500,503,282,282,501,282,501,502,500,800,504,280,649,649,800,502,16,402,282,733,500,282,501,503,282,649,282,501,500,208,503,503,828,500,92,800,503,500,503,501,501,502,503,649,502,504,501,501,649,502,876,502,503,501,503,503,501,800,500,646,501,502,500,649,649,504,502,800,415,649,501,503,16,16,128,282,502,800,502,502,501,502,503,503,16,503,502,282,282,500,501,502,501,502,500,503,501,500,501,503,500,503,127,16,649,282,500,501,800,500,502,500,502,133,16,16,192,501,649,162,502,800,502,502,416,503,282,922,800,384,501,649,16,503,501,649,502,800,500,502,500,501,408,500,504,103,649,659,993,649,800,501,782,800,649,649,800,457,649,649,282,502,649,501,503,649,673,649,16,503,649,502,503,501,501,649,501,649,800,500,953,503,800,800,649,502,100,502,723,503,800,501,502,800,501,649,800,800,503,503,649,642,502,504,16,16,503,503,500,502,500,649,500,649,649,502,500,282,16,501,649,282,502,501,501,800,649,501,164,501,501,502,649,649,501,649,282,502,501,501,501,649,502,503,501,188,501,649,500,649,800,500,504,649,500,16,800,861,649,502,800,502,800,618,502,282,502,800,559,649,800,501,500,4,800,501,502,649,649,501,649,800,649,649,504,649,104,501,16,503,649,800,501,502,503,503,500,649,503,501,649,800,800,649,892,502,800,501,500,282,800,393,430,16,503,501,16,503,649,522,501,502,213,503,503,500,800,500,502,500,282,734,502,502,649,502,915,1000,800,800,502,800,337,502,501,502,501,500,649,800,800,649,501,649,502,16,501,500,800,556,282,16,282,501,649,501,527,500,649,500,501,501,500,503,800,800,503,800,539,503,503,649,503,649,800,921,501,503,649,282,16,500,533,502,282,800,351,66,649,501,649,501,807,502,502,502,16,503,501,542,800,16,800,501,800,501,501,282,800,282,282,658,500,503,500,502,835,500,713,502,476,500,113,282,503,502,501,501,500,800,480,503,503,282,502,649,503,649,502,107,282,500,501,42,503,800,800,503,501,107,800,282,501,500,232,282,502,502,649,501,502,649,500,500,258,500,502,501,501,501,776,649,649,502,800,282,573,503,500,501,501,657,282,649,649,500,800,618,649,502,501,500,649,500,800,502,502,649,500,501,282,649,807,500,195,503,649,503,500,501,914,502,502,503,16,800,503,501,502,501,649,500,501,503,501,503,500,800,649,927,500,503,649,16,649,500,502,649,73,800,501,836,800,282,800,282,500,501,800,649,800,649,500,649,501,282,502,16,18,502,800,503,800,282,943,502,222,800,800,649,503,503,282,800,415,800,502,282,500,943,649,500,142,500,503,816,503,502,503,282,649,501,500,800,501,501,500,502,500,502,504,503,500,503,500,500,800,649,800,800,282,501,503,501,649,705,282,960,503,800,444,502,501,71,503,649,4,800,503,800,501,500,501,503,649,282,800,502,500,845,282,833,502,502,502,500,282,649,500,443,800,669,503,800,502,800,503,649,800,502,800,501,500,800,282,500,649,649,800,800,649,102,500,501,502,16,502,502,501,649,649,194,502,531,503,649,649,501,503,500,143,649,800,649,503,800,503,502,612,800,503,800,521,503,419,282,649,649,502,928,294,649,282,503,282,502,500,500,800,800,649,500,649,282,282,282,503,197,288,800,503,102,649,501,282,563,649,500,500,500,649,500,502,282,503,473,502,2,282,649,501,501,649,502,502,800,501,502,503,500,501,800,501,83,501,501,503,649,282,282,649,501,503,282,502,501,444,800,649,649,649,500,282,271,504,504,503,408,271,282,501,501,500,282,649,501,501,800,649,502,503,800,502,500,282,800,649,16,503,501,282,800,800,501,500,501,501,800,649,500,502,501,503,502,649,503,855,502,501,502,649,282,501,649,500,501,91,282,503,107,501,501,500,800,503,649,16,282,649,501,282,649,500,649,502,503,503,500,503,572,503,503,545,800,502,503,501,649,500,800,282,501,503,56,31,800,282,16,501,501,503,916,282,649,502,16,501,649,628,500,282,502,282,503,649,800,500,503,899,649,643,476,649,503,183,649,503,800,500,500,503,763,92,500,16,800,503,103,800,503,502,649,512,501,502,501,437,649,500,503,649,503,500,500,501,504,408,502,649,649,16,501,500,501,649,800,500,502,445,649,502,501,16,501,649,282,503,501,503,800,501,501,831,282,16,502,501,500,800,500,705,500,502,503,282,649,649,500,649,503,502,800,502,193,502,591,282,94,16,649,364,501,500,500,894,502,800,642,687,282,649,503,800,649,282,282,649,501,649,500,502,501,503,819,503,800,649,502,503,502,872,502,649,930,282,503,501,500,503,502,503,500,502,702,500,503,503,501,502,503,800,800,501,286,503,800,503,508,649,500,502,501,16,500,501,501,502,163,503,501,877,649,500,282,800,503,503,503,500,503,16,107,435,501,905,649,649,502,800,563,502,500,800,501,502,502,282,502,800,472,500,813,16,501,282,503,500,502,503,502,649,649,502,649,282,16,649,500,502,282,443,504,503,253,800,800,500,649,502,800,504,649,649,649,502,810,500,729,16,800,501,503,500,501,501,800,282,500,649,649,295,282,16,282,503,501,807,502,282,282,502,500,649,207,800,649,800,500,500,800,800,980,282,474,23,800,210,500,839,463,504,16,503,502,107,649,500,502,478,282,649,649,650,504,282,800,792,503,500,502,500,988,502,502,502,500,649,502,649,649,503,649,503,649,500,428,282,282,504,287,649,649,503,107,800,500,503,800,16,162,502,503,501,500,500,800,800,649,503,503,800,16,16,266,16,973,501,503,649,407,649,502,503,503,649,649,800,503,500,626,16,649,800,16,501,800,16,500,16,501,500,502,503,282,503,503,500,502,649,501,502,800,500,800,502,500,503,503,554,500,503,800,800,282,502,800,649,503,800,649,649,649,649,800,800,875,135,66,501,395,800,649,649,500,952,800,649,800,800,502,723,282,502,800,282,500,502,649,501,503,649,800,501,501,503,800,800,502,501,501,502,282,503,800,501,800,282,649,800,879,501,501,107,800,800,800,649,503,578,297,500,501,340,503,800,649,282,649,504,16,993,800,503,500,649,649,502,501,649,649,649,503,12,501,649,649,649,282,91,502,500,649,649,501,874,502,502,959,800,501,800,502,800,503,502,500,500,649,800,282,503,503,282,649,501,800,649,649,500,503,282,500,282,503,501,504,502,501,282,800,649,649,502,502,649,503,502,503,800,502,501,482,282,503,436,800,501,501,649,503,282,104,844,500,860,16,649,502,800,649,503,32,649,502,502,800,503,501,500,501,502,649,800,500,502,800,503,800,612,800,282,649,282,649,500,500,501,503,501,649,649,501,502,503,230,800,649,502,500,673,282,501,500,500,502,503,501,503,800,500,649,78,501,649,842,649,503,500,649,500,759,649,502,282,502,501,501,500,411,649,649,504,502,501,501,649,502,501,961,282,503,16,649,502,99,502,282,500,16,649,503,649,500,800,500,649,164,500,500,502,501,334,719,502,502,501,487,502,501,800,649,16,649,504,649,282,800,649,649,261,504,501,501,461,282,323,501,500,649,503,800,282,649,501,500,502,649,502,501,503,503,282,649,501,16,16,649,501,311,991,502,78,502,649,502,282,649,800,800,800,501,649,502,282,649,318,503,500,504,503,501,872,503,282,502,503,502,500,503,16,800,502,16,800,502,16,501,502,502,500,282,649,501,502,649,282,502,649,503,501,266,800,800,649,502,503,502,649,800,649,501,282,282,800,649,503,431,502,800,501,649,502,500,501,500,107,502,501,649,800,282,16,312,500,500,317,502,500,800,501,503,502,649,500,643,503,800,282,180,649,16,502,503,282,446,501,500,502,649,800,912,500,500,282,503,500,16,365,858,705,344,988,910,676,500,302,500,649,501,503,800,502,500,500,649,503,178,143,649,800,501,500,282,800,503,16,649,800,800,500,501,500,282,501,191,502,665,503,502,503,503,282,501,503,800,16,502,500,502,500,649,502,502,503,502,503,500,502,800,4,504,649,504,649,502,503,282,501,800,502,649,800,800,501,540,68,282,501,504,502,500,649,147,544,680,282,800,649,502,649,16,649,502,503,435,649,370,501,800,503,503,649,649,503,501,826,500,149,501,501,800,352,649,500,437,800,503,649,951,501,504,500,800,649,500,503,504,649,754,796,502,649,800,16,69,800,859,502,800,649,501,501,649,501,649,649,800,800,649,503,502,649,501,500,282,502,649,503,282,282,800,649,800,501,501,800,800,503,503,500,482,500,34,18,502,800,500,502,73,103,800,502,800,649,500,800,493,649,162,800,502,282,501,282,501,781,503,503,443,503,500,705,501,501,503,800,501,503,280,800,501,503,501,800,503,103,649,500,502,503,502,502,500,500,800,502,502,800,503,502,507,385,503,500,649,501,502,800,282,800,501,502,500,500,649,569,282,501,800,502,567,282,649,282,503,501,503,649,501,502,503,501,500,475,649,500,649,502,500,682,649,500,649,264,502,501,800,16,503,63,649,503,500,503,649,282,503,282,273,800,503,282,282,501,847,501,121,503,800,503,500,282,501,649,166,501,503,800,282,500,500,649,500,500,503,282,500,500,503,282,503,500,503,501,69,416,672,500,800,649,502,503,800,16,503,282,649,313,501,971,503,502,500,649,502,501,282,502,550,282,800,649,800,800,800,800,502,649,503,503,502,501,908,500,500,131,500,502,383,501,649,800,503,655,503,800,502,500,503,500,800,503,500,502,502,501,705,996,800,501,501,282,800,800,154,501,500,502,649,500,501,501,502,282,412,103,991,500,962,282,800,500,502,800,16,501,16,503,502,800,502,501,500,649,501,201,502,282,501,503,367,282,504,503,649,649,282,282,589,649,800,500,501,800,502,16,500,282,649,282,649,649,800,501,503,800,16,649,649,500,547,800,502,649,503,282,502,977,501,800,649,649,504,502,800,501,282,649,500,649,502,501,503,282,501,16,503,705,800,349,503,503,107,649,503,800,501,660,501,462,800,825,503,502,282,500,649,800,503,501,800,861,503,501,503,800,649,649,500,503,500,703,800,649,16,649,500,800,800,502,443,501,501,712,503,800,800,41,503,800,804,501,904,742,500,633,800,545,282,649,465,500,16,501,800,502,503,76,649,720,502,771,502,649,502,649,503,501,503,800,502,16,282,500,800,500,282,504,800,502,649,800,800,649,500,974,502,502,503,502,282,297,500,214,501,501,800,800,282,502,282,501,503,500,800,500,503,649,503,428,503,500,500,649,800,503,503,504,649,649,503,800,107,800,649,411,649,800,800,500,500,150,800,58,501,16,959,649,503,800,500,500,501,500,800,985,501,911,649,800,339,127,502,800,16,868,16,800,282,500,800,800,649,503,333,502,107,500,800,500,502,626,501,800,503,871,501,649,503,16,502,800,649,107,16,504,697,503,503,649,503,501,282,502,504,502,502,800,800,800,502,502,649,503,500,900,502,501,503,503,501,282,500,800,502,649,16,504,649,649,503,16,500,282,502,504,500,500,373,501,502,650,501,503,503,504,736,501,649,800,217,502,282,500,800,758,503,502,502,501,501,502,658,503,649,503,400,649,502,504,502,502,800,30,503,502,500,282,501,282,649,800,502,282,77,800,500,649,649,103,282,282,800,501,504,502,503,720,502,503,500,800,649,503,684,429,501,649,500,503,502,501,502,460,503,800,501,282,501,501,426,501,500,501,16,746,259,501,155,282,107,500,800,282,502,282,500,501,282,800,500,649,800,282,503,500,501,503,282,501,503,502,502,504,800,637,649,501,282,827,503,800,649,500,800,673,503,501,649,503,649,503,502,501,503,282,503,501,649,503,500,800,502,502,649,16,502,503,502,500,500,800,504,502,107,622,502,177,800,500,16,800,649,800,503,500,503,800,649,282,500,502,130,500,502,649,282,778,502,503,501,502,504,282,282,500,705,485,503,800,501,500,606,649,503,503,502,502,743,502,502,502,891,503,800,503,800,649,500,800,500,800,502,503,649,800,501,37,649,502,500,503,800,282,800,503,500,503,282,649,501,800,503,501,85,503,503,503,502,282,800,800,769,498,500,251,282,503,502,282,500,800,504,92,649,501,425,500,800,282,800,800,590,502,649,649,766,503,500,502,124,503,500,501,500,500,501,280,502,502,503,800,16,800,502,503,649,649,649,800,501,800,16,502,501,16,800,501,649,501,16,16,502,800,282,649,800,502,504,502,649,500,502,502,16,501,800,500,502,502,800,503,800,649,502,500,800,501,712,502,800,244,282,501,504,502,501,502,502,503,503,360,168,502,649,482,501,649,282,500,485,501,649,503,503,16,16,282,500,501,503,16,501,501,501,649,282,501,282,503,800,649,649,502,503,649,503,504,501,502,282,503,500,649,918,282,800,502,500,244,500,649,502,800,738,500,500,16,649,649,349,500,501,503,501,500,503,649,649,501,282,800,501,501,502,296,500,800,282,107,706,504,282,800,800,282,501,500,282,500,501,649,800,503,649,500,501,649,502,502,649,649,501,502,553,649,52,503,500,370,685,316,16,500,500,800,800,502,503,215,16,48,500,800,504,500,501,500,500,649,501,501,503,503,503,800,503,282,649,502,649,649,800,282,649,503,382,503,282,503,504,503,501,357,282,500,503,501,501,502,800,501,800,649,604,500,500,503,649,502,500,16,500,503,502,350,649,501,500,500,649,503,282,193,502,282,460,282,16,649,503,503,503,800,501,800,501,501,649,500,502,300,500,500,503,502,800,282,500,501,377,162,500,800,800,501,501,501,503,800,503,502,649,502,501,649,800,503,500,107,104,398,503,800,500,503,800,500,502,800,500,145,500,800,502,502,103,800,282,502,502,501,500,649,500,649,502,503,649,502,649,500,501,479,503,800,190,500,649,282,800,649,501,571,649,500,502,500,649,501,15,501,500,503,500,553,501,649,503,502,501,702,800,503,502,495,502,501,504,502,503,16,800,501,502,500,502,667,500,978,649,501,502,649,963,503,649,502,800,800,503,306,705,800,503,500,502,501,649,906,649,502,384,649,502,144,503,282,649,503,502,800,800,419,502,500,649,800,282,965,37,501,800,800,649,503,502,501,282,500,500,904,502,502,502,501,500,800,649,809,649,649,649,503,649,502,800,649,800,503,282,501,500,800,502,502,501,503,500,849,501,649,501,800,282,800,502,846,282,503,503,503,649,334,800,502,649,500,380,800,502,101,503,503,649,503,16,502,502,639,501,282,649,501,649,500,501,500,800,282,502,810,502,500,16,501,500,502,503,500,649,800,704,503,500,500,503,503,649,503,800,503,474,103,502,635,282,853,501,501,800,617,649,503,502,800,800,453,501,872,800,800,16,503,744,502,501,501,503,501,501,502,503,503,500,502,502,800,630,788,874,649,501,501,13,503,282,501,587,500,502,502,501,649,502,500,501,649,501,649,504,504,503,503,500,503,501,501,800,325,800,502,800,740,501,502,904,501,649,501,501,500,503,502,502,503,503,503,800,503,800,502,800,502,282,502,800,500,504,282,282,399,500,484,649,649,503,504,501,502,649,503,800,500,502,800,503,800,649,16,804,500,107,914,501,649,800,282,501,503,503,500,800,649,282,282,501,800,500,649,500,800,800,501,282,649,501,500,800,800,649,500,500,501,633,502,501,503,503,800,500,800,800,500,800,282,501,502,503,649,649,230,649,282,649,502,649,16,619,502,502,800,500,503,649,282,502,649,500,502,500,649,503,500,282,649,800,649,503,16,500,500,503,502,502,800,500,649,107,800,500,501,503,800,649,501,800,503,500,503,800,503,502,501,649,502,921,564,503,735,500,323,503,503,502,502,501,649,800,503,501,503,502,282,340,500,535,404,502,503,107,502,649,502,800,54,503,502,800,502,649,501,500,800,503,649,649,456,500,837,141,800,649,501,503,503,555,282,500,637,500,500,649,501,503,800,649,503,501,503,503,800,502,501,503,502,502,649,649,501,103,500,800,800,282,649,282,649,649,152,501,501,800,502,503,502,441,500,800,502,501,800,500,649,501,502,500,501,107,649,500,502,501,700,502,502,503,649,282,186,649,310,501,16,649,501,502,800,846,501,501,503,502,551,503,502,503,513,649,503,282,502,107,649,503,502,649,503,800,282,501,282,649,501,500,502,502,135,282,649,282,649,282,649,16,501,282,503,500,502,915,800,602,503,501,503,79,502,649,500,649,395,501,184,649,500,504,502,649,282,502,649,649,392,149,800,503,649,649,800,800,502,649,800,649,503,501,502,502,500,501,800,503,515,674,504,500,502,503,282,800,503,949,502,500,153,502,699,500,502,226,649,800,500,501,503,502,501,500,500,649,84,502,282,73,800,649,502,649,501,800,504,500,503,501,800,503,800,649,800,800,800,440,649,500,649,800,503,503,705,103,500,501,282,500,501,503,649,503,502,503,500,503,500,193,800,282,100,892,576,28,502,501,500,282,949,503,649,503,503,16,835,705,503,503,800,503,800,503,649,502,800,501,16,500,649,282,649,500,501,500,16,155,502,503,501,649,282,501,649,501,500,502,500,649,500,501,649,800,16,16,462,649,800,282,501,649,649,504,282,504,503,800,503,800,649,649,649,800,501,529,649,501,800,282,282,800,800,649,503,649,500,282,282,502,503,16,976,282,501,122,504,501,502,502,502,282,501,503,501,800,502,282,500,500,282,282,502,779,800,282,503,502,800,282,501,119,500,503,501,800,504,800,649,504,836,964,500,501,107,550,502,107,503,503,503,503,649,503,800,800,403,800,503,503,800,282,649,282,282,800,16,502,500,800,500,501,100,16,893,649,649,572,502,501,501,800,649,502,503,800,503,100,282,503,649,502,800,894,282,282,282,398,502,649,501,800,501,502,502,649,500,501,861,282,442,122,835,503,500,502,800,500,503,500,502,107,503,800,500,335,133,107,910,649,503,501,649,282,922,331,502,282,649,502,502,500,646,800,649,501,500,800,500,500,800,890,500,800,501,500,649,501,16,194,649,503,649,800,103,503,502,800,502,282,107,503,800,500,800,16,67,800,1,500,503,501,503,502,800,502,501,69,800,282,503,800,914,501,500,500,503,800,502,788,800,503,502,557,282,503,500,282,501,500,503,501,649,282,282,723,503,282,502,500,502,466,503,502,282,649,107,129,649,500,500,800,501,504,800,649,649,649,500,649,537,800,500,501,504,502,649,282,649,500,529,649,282,282,800,800,504,373,502,500,394,500,800,503,649,260,500,800,502,502,503,500,500,504,502,800,649,380,503,502,800,503,501,649,500,800,500,500,495,649,500,501,500,800,282,587,503,502,502,501,503,502,649,502,501,500,800,282,282,501,500,282,501,800,649,800,502,837,503,503,501,800,500,800,383,282,501,649,107,500,501,16,502,501,502,500,359,282,500,800,503,501,800,282,502,649,501,501,282,501,649,649,282,800,501,800,504,280,649,501,500,502,503,501,501,502,649,501,501,282,500,857,649,500,502,841,16,500,16,503,107,503,724,503,500,800,800,282,649,503,503,806,504,502,502,503,800,649,503,649,502,773,282,502,282,500,500,649,500,503,503,503,16,649,16,502,705,501,649,502,491,503,500,282,501,500,502,649,500,800,501,501,503,503,502,501,282,501,16,502,649,501,500,649,502,491,800,502,502,501,461,800,501,649,282,503,282,502,805,107,500,502,16,282,504,800,649,501,800,800,500,282,649,649,800,501,504,500,500,502,500,977,800,800,503,501,736,800,504,503,502,503,607,649,503,16,501,503,107,649,505,501,503,500,502,800,819,503,502,649,500,956,649,800,503,503,500,181,500,649,649,502,502,503,44,501,502,500,800,501,501,500,501,502,750,16,502,649,649,800,649,708,502,460,501,501,705,503,501,500,29,800,800,800,503,766,649,100,636,501,107,649,502,800,800,649,500,800,16,800,800,282,16,500,501,500,649,503,502,649,649,503,500,800,503,502,236,501,707,481,500,503,502,282,800,800,500,501,749,282,501,502,983,282,502,649,649,649,500,501,16,649,649,268,502,436,503,282,503,907,501,501,649,503,503,649,501,940,649,800,130,503,503,500,800,807,501,649,169,145,503,183,650,500,800,503,711,992,501,16,502,503,800,800,943,282,212,16,502,168,503,813,514,502,503,800,500,502,282,500,504,800,502,800,800,800,503,500,282,77,502,504,359,503,503,500,710,800,282,649,282,282,649,800,800,502,502,501,503,503,503,501,504,649,627,649,272,800,120,255,502,663,503,503,500,502,807,649,649,502,649,649,503,502,743,282,282,501,501,500,500,800,948,502,567,501,282,503,503,16,800,40,500,501,503,649,500,800,649,500,500,649,1,500,501,451,74,800,502,800,500,501,800,800,566,800,649,649,502,500,502,107,500,502,264,504,500,502,282,649,500,500,502,800,649,282,649,503,500,502,503,649,501,800,649,282,503,16,800,975,16,500,800,282,501,502,500,501,503,282,282,649,501,502,501,800,501,502,501,282,800,502,649,315,500,502,282,282,500,282,828,561,502,282,649,16,500,500,958,800,109,501,800,649,282,501,500,800,501,16,282,501,800,649,503,500,282,107,502,501,501,503,500,500,649,16,501,649,16,649,500,800,500,500,501,103,649,649,502,411,500,501,504,502,16,717,103,784,800,613,500,282,502,502,800,500,503,502,503,501,500,503,361,500,282,501,503,800,480,501,29,800,209,709,800,502,420,504,806,649,500,282,800,800,503,800,552,501,800,500,501,500,368,800,503,139,649,800,501,500,500,501,107,500,501,800,500,501,502,282,282,501,649,282,501,500,649,649,503,649,502,282,503,649,800,282,502,501,504,649,503,500,504,649,502,343,951,500,500,500,500,649,500,566,504,503,500,501,481,16,500,502,131,649,502,16,503,282,500,500,501,501,503,800,649,503,649,800,501,143,800,800,79,800,501,501,649,502,800,502,500,502,503,502,500,800,503,99,503,718,502,663,503,800,16,501,502,649,500,16,500,503,649,282,282,502,500,649,500,800,282,282,16,503,502,502,500,500,500,502,922,501,501,500,502,503,736,502,501,510,800,500,107,500,800,607,504,503,502,565,891,609,800,423,501,501,227,503,500,282,502,800,501,800,649,282,501,501,649,501,501,500,650,500,503,501,501,649,501,800,649,500,501,649,502,500,800,501,282,343,282,500,501,800,649,800,503,501,649,86,282,504,501,800,501,502,16,501,500,16,502,502,800,501,282,500,504,649,398,945,282,379,800,993,502,503,503,800,500,503,16,500,282,800,800,500,503,503,495,500,282,363,500,500,649,812,463,503,16,800,502,502,800,500,649,800,501,649,282,503,500,503,501,649,800,649,502,502,502,500,649,649,503,502,800,282,502,502,640,502,261,501,500,500,649,504,500,502,500,502,502,500,502,16,399,501,282,502,501,800,282,500,282,649,282,500,649,501,16,501,341,282,649,701,800,649,501,282,502,282,501,501,503,741,649,282,501,503,503,800,503,800,503,501,887,649,651,649,501,502,790,503,503,501,800,500,502,282,503,649,502,502,282,503,617,502,16,649,500,649,503,503,800,573,500,503,501,282,502,501,649,649,346,800,16,501,800,502,500,503,501,502,500,649,800,16,649,501,282,502,502,800,500,16,649,502,740,649,501,649,503,800,9,800,501,501,504,501,500,500,501,649,503,282,232,800,501,503,649,800,841,282,800,242,503,16,282,502,282,800,503,800,501,503,501,16,503,649,502,501,649,800,500,500,800,649,503,359,649,800,983,282,504,501,547,501,615,800,800,800,800,649,800,282,282,503,649,503,500,649,503,800,16,800,649,500,800,500,800,502,501,503,501,649,800,686,649,649,425,503,502,504,504,501,786,800,501,502,502,16,649,501,501,800,16,328,503,313,649,800,501,282,501,500,649,649,800,503,500,503,282,649,502,502,649,649,502,501,503,449,665,500,500,500,800,500,649,649,800,16,503,649,503,649,500,504,500,503,649,502,500,502,649,501,503,502,800,500,500,500,501,103,502,500,16,500,800,800,500,800,800,504,502,357,502,501,764,500,800,503,649,503,503,501,282,16,502,975,501,389,503,282,502,502,501,501,107,501,649,503,502,500,501,765,649,800,17,684,649,649,503,649,196,800,504,502,502,649,502,501,503,800,511,16,500,500,800,282,502,503,502,800,282,502,107,501,107,503,501,282,500,800,500,503,649,501,503,449,800,282,800,649,970,502,649,501,500,800,282,500,502,500,16,500,500,282,649,649,503,16,800,502,282,500,800,503,503,526,503,107,800,502,502,800,800,990,501,502,502,800,501,523,61,649,502,151,500,988,282,800,800,502,502,649,649,285,501,771,500,800,502,502,649,503,501,282,649,503,16,500,503,503,282,800,649,501,649,502,502,501,502,502,504,705,649,503,649,501,503,800,500,502,501,107,496,743,800,800,282,500,800,500,800,500,282,649,500,500,649,501,500,649,107,502,800,800,581,502,503,503,502,282,502,502,832,504,16,501,747,649,411,800,800,503,360,501,502,649,282,503,500,933,282,800,500,975,500,504,600,649,501,500,504,16,502,500,282,502,800,649,16,503,502,649,649,649,107,100,800,502,500,649,649,649,649,649,800,503,502,500,835,503,622,800,501,503,649,800,504,800,289,501,503,282,800,501,800,501,800,800,649,649,503,501,500,282,132,503,649,282,444,500,500,16,800,500,282,502,16,874,503,501,502,500,16,107,649,629,649,500,800,800,800,503,800,649,282,501,500,649,649,532,800,502,502,800,649,500,800,502,259,283,552,501,718,16,649,503,502,501,900,503,500,282,800,503,502,649,503,649,500,500,649,800,501,16,649,503,501,16,500,504,500,500,503,800,693,500,250,173,503,501,800,705,503,817,501,649,649,800,800,503,502,649,500,503,503,16,500,560,500,503,282,502,501,282,649,501,500,800,500,747,501,500,282,800,16,502,501,502,649,501,16,189,649,501,16,502,502,979,500,501,504,502,500,501,649,16,501,800,16,500,503,500,503,649,166,800,501,501,503,649,503,501,621,800,501,503,500,541,649,501,282,150,649,107,649,504,501,649,800,649,649,501,800,600,503,649,500,501,571,800,502,649,256,649,502,282,282,524,649,820,500,800,800,502,649,649,501,649,649,107,501,282,649,503,500,502,501,800,502,649,501,502,649,784,503,500,501,282,502,501,502,502,500,504,502,503,502,502,107,649,501,500,649,649,502,649,502,503,649,800,503,334,502,501,503,501,16,282,800,649,649,85,16,282,502,649,649,500,833,502,649,649,649,500,434,501,16,501,282,649,800,649,500,649,500,500,501,649,800,282,500,502,503,504,708,800,501,503,502,649,649,282,501,800,113,297,503,501,501,500,500,500,800,503,503,501,503,500,649,500,500,503,649,722,649,501,500,500,503,103,114,500,503,501,501,649,501,500,936,501,145,649,282,502,282,503,502,500,502,503,502,649,501,814,282,500,500,503,675,282,119,649,500,800,502,406,503,800,649,379,502,501,945,500,502,594,503,501,501,649,500,649,649,649,504,16,70,100,649,501,800,501,649,282,500,310,649,282,502,800,649,16,500,502,502,500,500,103,800,800,649,800,500,503,501,800,800,500,338,649,501,649,503,502,501,503,800,541,649,800,501,800,500,500,503,649,500,800,649,500,502,501,800,741,16,500,501,500,502,59,502,578,649,649,500,503,16,426,800,503,649,800,503,500,501,107,503,500,501,504,503,502,16,501,503,649,501,800,500,504,503,502,501,500,649,649,503,503,282,649,282,503,503,500,502,503,502,800,500,503,800,502,503,800,503,103,800,577,649,282,574,800,502,649,500,501,649,788,501,502,503,500,502,501,754,502,649,876,282,500,775,503,501,500,925,500,107,800,800,472,501,649,649,502,395,503,649,502,501,503,649,501,800,500,501,504,503,501,503,502,16,282,503,800,503,16,282,649,800,800,421,503,649,500,16,48,800,503,853,502,800,501,501,282,649,649,503,800,649,502,663,502,501,649,501,500,411,502,649,503,500,800,502,501,800,947,800,800,584,501,501,361,503,649,388,502,503,503,500,800,107,649,500,649,501,870,502,503,107,502,649,649,800,501,649,800,649,503,292,13,793,800,500,500,501,503,386,502,500,500,503,800,501,500,649,649,500,649,800,501,500,649,602,500,502,503,501,800,800,502,503,282,502,501,502,503,473,800,649,649,16,16,649,502,649,502,500,501,500,502,103,502,649,446,502,502,503,503,502,649,502,649,502,501,502,503,282,501,502,502,500,649,500,632,500,503,501,282,501,502,649,800,500,500,500,500,503,800,649,503,649,800,282,800,649,502,500,800,500,800,649,502,800,800,282,16,16,502,649,501,649,503,502,227,500,500,502,800,501,502,502,800,503,282,502,16,500,503,657,282,501,969,282,502,503,501,503,800,649,501,221,800,502,282,649,503,500,501,503,503,16,503,800,800,501,649,76,800,500,501,649,649,70,653,504,649,503,800,500,649,502,16,649,500,800,800,500,800,502,649,939,503,800,507,459,497,111,501,503,503,501,649,726,800,501,503,103,502,107,500,503,503,504,800,500,502,500,503,649,502,54,500,282,501,16,714,503,503,282,501,501,502,649,800,500,800,501,135,503,501,500,501,500,500,502,800,503,800,649,808,282,649,800,649,503,282,500,504,502,649,503,649,649,502,630,500,16,649,500,502,282,500,547,800,503,500,325,502,501,500,500,501,800,800,502,504,649,501,107,503,282,502,800,2,503,502,504,503,503,502,649,500,500,502,503,800,501,500,152,800,787,503,649,649,100,16,503,501,134,329,501,501,503,501,503,503,501,504,501,282,800,502,502,453,800,282,649,477,576,501,282,649,649,504,800,500,500,500,500,800,649,500,504,503,502,500,502,107,517,159,85,203,800,501,649,28,502,649,501,278,623,501,800,282,649,502,800,504,956,267,649,800,649,500,649,272,242,500,502,649,502,502,800,395,503,500,500,501,503,502,502,502,500,502,107,800,800,503,503,355,500,501,649,501,501,404,188,501,502,500,807,800,501,500,501,502,501,500,649,649,504,800,649,649,501,282,500,800,501,649,500,503,501,282,800,111,282,503,649,501,715,500,502,282,500,649,501,649,500,800,800,502,500,800,502,800,501,649,800,724,800,607,817,649,501,16,502,86,756,503,649,503,503,649,800,500,149,503,649,448,649,502,503,282,500,649,501,282,649,502,503,501,500,501,501,501,503,649,649,503,649,500,502,501,649,900,501,649,502,282,503,503,503,503,282,503,856,500,503,180,649,800,503,498,500,199,501,502,503,649,800,282,391,649,16,501,282,503,502,500,800,649,282,338,800,16,649,504,503,500,800,501,503,649,500,502,500,594,282,501,502,800,502,800,800,500,503,783,369,501,502,502,775,501,503,501,721,282,649,16,800,501,504,500,500,282,16,503,502,800,16,500,800,800,501,800,501,501,282,502,501,800,501,282,899,649,500,503,502,502,500,282,282,503,16,501,16,16,500,500,800,502,649,649,504,649,502,649,649,16,800,649,502,800,649,503,502,649,503,501,503,649,500,501,500,997,800,649,649,504,282,800,649,649,503,800,504,282,500,503,501,800,493,649,800,316,524,836,800,800,502,503,854,649,649,502,251,501,800,503,800,501,649,500,282,502,501,500,503,649,311,502,501,649,282,500,282,501,502,649,502,500,500,800,282,500,500,12,500,800,502,800,649,282,501,362,603,282,502,649,282,834,501,503,503,501,503,649,500,800,503,500,503,982,649,705,800,649,649,294,502,502,501,501,502,800,282,282,649,503,503,502,649,649,501,500,501,501,649,503,7,171,649,800,800,649,649,800,503,503,649,502,282,649,800,16,800,500,503,16,503,287,800,800,953,502,800,649,23,649,649,502,503,856,649,503,765,501,502,502,504,501,500,501,501,501,282,502,502,502,501,502,105,501,500,282,459,502,800,501,282,810,649,649,500,800,502,649,800,282,500,500,501,800,697,500,503,503,500,882,800,503,282,502,649,502,502,502,502,500,502,27,503,800,282,502,103,501,503,503,503,500,16,16,503,282,800,649,502,500,107,503,500,503,501,965,282,503,800,800,501,16,271,501,501,502,501,800,649,552,800,503,503,502,800,502,282,504,800,503,800,503,800,502,649,500,16,502,501,501,800,500,649,800,800,500,502,800,502,503,16,800,501,502,282,503,649,500,501,502,800,504,503,649,500,503,649,282,800,282,500,649,649,502,800,501,16,501,800,503,502,501,429,649,800,800,501,800,107,649,504,790,501,502,502,649,342,500,48,503,503,649,800,895,649,500,800,500,800,500,500,502,503,502,501,800,541,282,502,503,282,504,501,500,503,800,649,11,649,649,397,500,501,501,503,502,906,501,503,800,504,16,800,107,501,25,504,500,649,649,800,503,800,501,107,501,502,502,800,649,800,501,502,502,649,502,443,502,800,649,649,16,912,500,649,800,502,714,282,502,500,500,501,502,502,503,705,282,502,282,503,503,502,500,800,705,501,619,649,501,621,649,504,800,649,500,451,282,800,503,503,16,649,500,649,503,500,649,282,800,504,503,500,501,500,502,501,503,119,282,501,502,800,750,44,649,16,16,282,503,501,501,649,800,282,502,503,500,16,503,800,502,800,504,649,800,282,800,504,800,649,503,282,649,501,502,649,663,500,503,732,502,500,500,800,800,800,503,501,537,800,800,373,502,503,649,16,706,16,500,501,502,502,649,501,503,800,500,503,282,442,500,16,503,502,800,504,501,500,500,503,800,502,843,103,501,282,501,500,620,500,502,500,282,912,800,705,16,16,125,501,649,800,649,502,872,282,622,500,501,16,800,800,800,502,395,107,800,800,282,500,501,1,282,649,649,500,757,800,501,282,16,502,619,502,649,649,502,503,502,502,500,500,502,357,500,501,501,501,649,126,649,502,800,500,583,500,649,502,800,800,282,500,503,501,501,502,282,522,73,502,540,501,501,503,282,500,503,500,800,502,875,502,500,551,282,825,649,947,502,501,502,800,503,503,501,287,501,800,503,502,500,797,649,500,502,503,16,205,503,649,301,501,800,282,800,875,502,649,282,500,502,502,502,502,502,501,800,501,800,16,502,649,500,649,432,737,502,289,649,500,800,800,503,500,800,800,800,649,501,978,500,503,503,800,501,800,503,282,501,219,16,715,282,800,503,503,800,800,503,649,649,800,502,800,800,501,800,649,141,800,649,800,649,503,800,282,503,16,504,502,800,500,502,501,501,649,825,503,501,255,503,503,800,758,800,501,501,649,503,503,649,282,282,502,16,649,282,501,282,649,282,501,282,649,954,500,117,503,649,500,800,948,282,282,501,800,503,282,606,500,649,649,500,500,800,649,649,500,502,649,800,282,503,503,181,500,220,502,502,504,649,800,500,282,16,503,500,500,323,16,503,501,16,501,503,503,500,649,800,282,800,800,282,649,649,649,649,503,894,649,502,649,649,502,500,800,500,501,649,464,899,173,502,800,500,649,107,500,503,588,500,503,502,501,502,502,502,502,165,649,501,501,800,501,16,500,504,503,502,503,282,502,503,501,800,502,500,800,355,503,800,502,800,502,501,282,501,500,504,800,282,676,500,800,501,282,800,800,501,800,500,494,800,649,800,501,102,501,501,800,500,587,800,503,662,649,503,800,503,502,502,502,649,500,145,800,502,649,800,649,282,502,282,503,501,501,503,649,649,500,649,825,858,501,502,282,501,100,770,800,282,503,501,501,800,503,501,501,500,800,107,502,502,85,501,502,800,501,502,649,500,649,504,501,502,500,282,282,800,502,928,501,282,282,500,502,501,504,502,500,501,221,749,502,500,724,800,649,502,459,649,282,277,649,500,800,282,856,500,638,797,649,502,649,800,502,504,932,502,501,501,502,504,500,649,501,649,16,501,501,500,800,250,500,501,649,282,16,502,800,16,800,503,649,282,263,257,500,649,502,504,501,9,16,649,800,503,503,502,501,894,886,746,649,800,503,676,500,282,500,501,497,585,980,503,800,503,502,800,502,503,282,502,282,502,649,800,500,502,500,500,538,500,649,502,649,503,547,501,282,500,504,282,282,502,649,501,500,501,501,800,649,800,502,503,500,800,501,504,800,501,604,502,649,502,504,649,16,862,500,855,649,800,800,269,358,219,502,503,800,503,500,503,284,282,559,649,501,800,504,502,501,501,501,16,502,503,503,649,504,500,282,800,800,16,649,501,501,649,502,503,500,649,649,440,503,800,740,649,649,592,503,800,503,503,504,282,649,504,649,16,800,649,937,500,500,502,800,502,501,503,503,502,502,649,502,503,763,502,649,501,502,800,502,649,502,800,282,629,501,502,559,504,282,500,649,148,800,503,649,284,649,851,500,502,500,73,501,501,800,502,500,501,800,554,800,503,504,649,800,502,282,16,800,649,503,132,500,503,282,503,503,649,282,649,502,500,683,649,800,500,649,501,800,502,72,800,282,503,502,502,282,800,503,16,29,800,649,800,800,800,502,282,500,800,503,502,501,329,503,501,501,500,649,500,500,503,502,649,501,649,282,500,214,705,504,500,503,503,503,800,501,502,501,501,502,649,501,501,500,800,500,503,800,799,800,502,800,800,649,800,501,501,649,503,885,649,503,649,503,500,500,503,572,632,500,500,503,502,649,800,649,503,744,501,502,649,502,800,16,662,649,894,503,501,502,800,800,501,503,800,501,500,649,756,499,500,501,282,501,501,800,372,501,103,649,649,649,502,501,331,500,500,800,649,501,649,649,501,282,16,501,503,502,800,800,649,502,16,500,501,800,500,638,503,502,502,502,502,464,649,649,649,841,800,282,800,502,800,501,649,502,107,503,282,800,800,903,107,500,502,501,501,500,800,500,649,502,502,401,502,501,501,502,649,503,501,500,16,500,500,503,500,503,282,500,502,503,502,503,502,503,282,503,796,800,800,282,501,16,503,501,502,500,502,500,502,501,800,500,502,282,649,282,502,503,500,800,800,241,600,503,800,503,800,649,649,103,500,503,16,502,282,800,800,502,502,500,649,800,649,502,501,500,649,500,381,9,649,649,282,500,649,503,800,800,800,649,502,649,501,649,503,649,649,501,502,502,501,500,502,800,501,282,800,800,500,725,500,500,800,503,501,649,501,358,503,502,800,503,502,503,649,503,501,501,502,800,800,501,649,500,649,500,393,500,877,495,500,216,501,800,282,282,800,503,928,502,502,909,649,504,503,649,800,503,282,800,649,502,503,649,500,503,800,502,751,502,500,800,503,800,16,501,502,800,649,282,502,800,501,500,503,807,501,501,502,45,500,501,712,122,282,800,649,720,502,282,502,500,503,649,696,502,501,502,608,16,500,500,500,501,125,128,501,503,502,500,501,282,282,502,173,14,503,508,500,500,282,282,649,502,107,501,500,501,800,503,501,649,800,107,502,502,502,504,500,500,501,501,649,503,516,502,705,649,500,501,503,500,800,800,282,494,503,800,500,501,501,467,503,503,800,501,503,649,800,23,500,649,282,500,649,500,500,500,502,649,649,800,501,282,800,24,16,535,649,282,649,500,800,503,649,501,500,502,282,502,502,800,649,800,501,503,282,502,16,502,649,960,649,889,399,16,282,502,501,500,16,502,500,16,501,282,502,800,16,649,501,649,904,649,503,503,162,502,501,501,503,502,502,501,502,502,503,501,502,800,500,502,282,501,501,501,502,502,282,649,800,500,800,16,800,503,500,500,58,501,502,213,800,502,501,503,501,649,502,500,648,16,503,800,641,800,735,500,649,800,502,800,500,807,502,502,502,800,282,16,282,16,649,502,649,649,501,800,502,501,502,282,179,503,916,500,238,282,500,502,16,502,501,500,501,502,504,339,800,503,502,501,502,502,800,500,500,502,502,503,503,800,649,282,502,800,500,840,500,501,995,649,501,274,412,800,502,502,503,503,886,649,649,61,503,800,502,800,503,503,121,282,282,500,500,501,503,800,800,503,503,649,501,649,800,226,649,107,649,649,501,807,649,501,501,800,503,649,503,502,54,502,282,503,16,649,291,503,16,500,800,649,107,501,86,365,282,649,86,501,500,503,403,282,501,503,500,504,559,500,500,800,501,649,501,245,949,501,946,500,800,503,501,502,800,500,649,649,501,502,503,282,501,504,504,503,282,501,503,501,282,500,500,503,800,502,501,649,520,500,16,500,503,800,501,662,649,800,502,649,773,800,649,503,692,536,500,501,502,649,282,649,502,649,800,502,501,893,504,282,501,282,502,500,282,503,502,503,503,501,649,282,501,583,500,800,976,294,575,649,974,503,649,502,500,500,42,502,16,501,501,446,692,803,502,504,850,800,117,501,800,800,501,503,503,16,502,269,573,800,500,649,800,649,800,501,501,502,502,503,800,504,503,649,649,16,504,501,91,502,501,503,504,502,503,502,282,282,282,504,502,93,503,800,503,800,502,649,500,649,649,282,503,502,503,649,800,502,282,800,503,500,869,502,504,308,503,503,282,502,502,649,649,503,501,800,800,649,649,649,501,500,502,500,800,550,649,500,502,370,201,500,800,222,282,501,501,649,649,501,800,649,800,808,501,282,501,500,800,501,502,502,501,503,16,500,501,501,649,16,500,500,649,500,800,503,657,213,501,63,103,500,503,500,282,500,502,800,800,800,502,649,502,500,282,649,503,683,501,410,147,800,501,501,502,504,503,282,123,800,501,649,501,800,107,502,771,503,649,800,649,800,502,990,800,800,504,649,800,503,502,800,172,649,503,282,151,502,800,501,500,500,500,501,442,502,800,500,800,503,715,282,503,661,81,282,502,500,501,502,503,800,502,504,502,502,500,282,502,502,502,500,502,500,501,603,800,800,277,500,503,914,500,483,22,504,501,500,502,503,16,503,800,282,800,800,500,282,16,649,800,16,502,649,503,649,649,695,800,649,906,236,749,503,501,645,503,501,282,504,503,800,503,800,800,500,501,282,282,649,503,503,107,501,501,282,502,649,533,502,800,598,649,282,504,800,649,500,649,649,501,501,264,502,16,649,282,800,16,501,800,502,282,500,503,503,16,146,501,800,502,501,502,501,800,649,800,502,746,282,782,502,890,502,503,504,501,501,334,503,502,502,683,503,502,503,500,504,500,590,503,500,503,502,500,500,649,501,502,732,502,500,800,504,501,950,503,16,880,501,16,503,502,501,472,502,649,501,502,649,500,800,500,500,649,611,555,503,649,107,502,500,502,282,282,496,502,502,503,282,649,502,16,500,501,649,800,282,503,502,649,500,800,503,649,649,482,501,654,800,500,103,503,800,800,800,649,502,800,549,649,501,500,503,501,500,649,988,392,501,282,501,500,282,500,501,558,501,649,404,500,502,59,800,179,800,649,649,502,500,500,500,800,531,503,501,501,768,800,502,800,503,501,502,800,800,649,500,16,502,800,503,500,502,503,501,503,649,501,649,502,649,501,502,367,502,649,503,649,282,502,16,503,500,500,502,400,317,503,800,502,282,501,500,16,502,800,503,649,502,500,649,500,649,501,282,501,884,800,502,501,501,363,502,649,503,649,649,895,667,282,502,501,649,501,282,167,800,500,165,471,502,503,501,502,649,649,649,649,16,16,800,502,234,107,500,502,649,731,282,503,502,337,230,260,504,649,815,501,503,503,502,649,503,16,502,800,502,503,502,649,800,500,800,649,503,741,502,282,502,800,649,503,501,16,502,800,502,282,500,16,502,503,282,503,501,282,500,649,503,957,913,879,800,155,800,101,113,800,103,502,649,502,500,503,500,800,282,649,500,500,800,503,502,282,16,501,282,406,649,502,501,503,502,950,502,503,649,501,503,501,502,504,500,649,501,503,501,502,501,649,16,501,800,282,502,500,503,502,500,3,16,16,649,503,800,66,817,502,503,503,503,500,800,800,649,16,501,502,501,649,976,501,649,649,917,502,501,501,800,649,503,503,800,708,500,649,503,21,501,649,500,500,502,103,16,762,800,502,649,649,503,649,503,503,502,206,58,800,800,501,502,503,502,844,502,649,800,500,800,503,503,649,437,500,649,501,800,786,502,779,502,215,800,382,649,800,800,501,16,502,865,500,502,800,649,500,501,800,502,649,649,501,503,503,258,70,503,142,649,502,800,500,267,649,649,649,503,649,282,501,503,800,800,943,325,97,649,502,649,503,501,649,885,501,800,800,502,500,502,282,502,735,649,502,502,501,649,502,282,107,503,500,501,371,649,503,503,649,503,800,502,649,502,649,500,209,502,282,649,649,501,800,502,800,282,504,445,503,649,503,800,502,502,501,237,784,500,501,502,282,282,282,502,504,500,500,282,500,503,500,503,500,502,451,546,649,649,502,500,501,470,57,16,800,649,500,503,800,501,503,500,502,502,800,800,800,500,503,502,504,501,722,800,649,787,501,503,503,500,925,503,800,501,503,649,502,326,100,800,728,630,800,501,282,107,502,502,501,502,16,282,503,501,503,503,257,501,501,649,649,502,800,503,649,649,16,282,501,501,501,501,502,502,800,649,503,16,503,500,800,660,501,800,502,504,407,500,793,649,501,386,800,871,502,107,501,649,503,500,503,800,500,649,800,800,501,452,800,502,800,503,664,16,503,800,649,679,503,503,649,503,503,503,800,649,649,389,649,503,562,800,800,649,500,282,800,500,500,381,282,500,873,501,500,500,305,502,107,169,501,282,504,783,501,515,500,501,649,501,501,800,502,503,649,649,501,502,503,502,649,501,500,503,800,500,500,504,501,800,805,800,800,2,649,649,649,503,282,501,205,286,502,800,500,501,503,501,724,500,502,502,503,800,503,282,649,16,502,503,501,502,503,501,800,501,649,16,501,502,649,545,107,501,503,800,651,500,649,504,502,503,501,800,800,282,800,501,649,503,800,500,502,282,649,503,502,500,649,502,201,800,501,649,503,248,501,16,800,502,705,487,800,800,649,500,502,796,502,500,16,800,501,501,896,501,800,649,501,500,649,500,800,282,649,649,649,501,800,502,649,800,502,828,649,501,503,649,502,649,902,503,500,503,504,800,987,502,649,16,500,649,649,501,897,649,800,800,502,649,503,16,503,451,501,501,487,282,500,500,501,649,503,503,282,501,800,649,501,649,501,501,501,501,503,500,649,502,503,282,374,800,500,500,501,500,649,501,500,501,501,767,501,282,649,649,649,501,501,500,649,649,503,502,523,666,504,239,501,649,503,282,502,503,501,649,502,968,502,16,16,800,503,502,501,502,649,800,502,800,501,503,500,501,504,500,501,501,371,282,282,16,500,502,502,504,502,504,649,501,282,282,16,500,503,649,282,503,502,649,502,800,800,502,503,67,649,649,16,649,503,16,286,649,500,800,800,503,500,501,501,800,649,503,282,81,501,500,502,800,502,800,502,649,649,759,501,502,501,787,751,800,800,500,800,500,705,501,282,107,503,800,649,282,502,180,502,649,503,16,500,503,504,503,501,911,282,501,103,800,500,500,100,500,423,501,549,501,16,500,501,649,500,500,501,800,501,743,649,502,649,500,500,501,501,282,502,502,502,501,500,649,501,501,649,500,16,649,157,238,961,649,271,502,501,502,800,548,501,282,713,649,122,526,502,800,107,502,500,800,800,501,503,502,502,649,502,502,649,800,502,649,501,501,319,649,502,800,16,502,503,878,503,500,800,503,779,649,503,410,501,948,649,649,649,500,46,500,501,16,282,282,501,502,503,502,649,717,503,282,501,713,501,503,8,800,501,502,649,800,282,649,500,502,503,501,502,201,500,503,398,503,649,502,282,800,173,800,800,16,501,503,501,282,503,853,501,503,500,503,649,649,502,282,800,16,649,501,269,649,502,500,649,800,501,502,282,503,502,800,800,16,500,649,503,282,370,157,103,649,800,649,225,500,500,501,500,800,502,502,800,649,800,503,750,401,503,949,500,800,649,503,502,503,500,502,500,501,61,800,800,500,16,649,500,282,800,282,399,282,649,500,282,501,503,503,913,282,282,686,800,502,503,501,649,500,16,852,502,800,649,500,503,282,503,100,282,500,649,649,503,800,24,500,62,503,800,500,500,107,500,501,983,502,501,502,649,501,503,103,500,500,649,649,734,800,503,267,800,500,282,649,679,649,502,649,502,503,502,282,502,503,792,16,502,501,502,282,502,390,500,500,503,502,500,503,501,282,282,500,649,282,502,193,800,500,107,649,502,800,649,824,110,103,797,502,503,501,741,497,503,500,501,800,500,649,282,800,649,130,503,16,649,503,500,501,503,500,649,800,501,649,502,800,649,503,234,503,16,649,502,502,173,16,649,502,500,497,503,16,500,649,800,649,503,800,500,649,500,282,649,503,894,107,649,502,649,800,649,800,800,502,800,503,33,503,501,500,282,500,503,233,709,500,500,503,649,649,594,649,503,939,16,16,501,501,16,649,501,282,503,4,503,502,503,503,317,282,354,503,503,503,282,800,502,800,503,502,502,503,649,649,786,503,501,649,500,517,649,649,800,800,186,16,649,500,649,503,500,649,164,16,503,370,592,669,649,16,503,649,649,501,100,502,103,500,610,649,501,800,282,501,503,649,503,16,649,800,502,500,327,502,758,282,501,503,500,503,502,503,855,502,501,483,503,103,501,800,649,649,501,285,282,500,16,362,800,282,500,107,500,500,503,501,500,500,649,500,649,800,500,501,800,800,503,501,503,282,500,800,503,282,649,501,503,649,181,16,502,503,239,500,502,500,501,649,618,800,501,401,922,800,501,800,125,503,502,503,649,137,362,800,502,649,501,502,501,649,800,282,502,107,503,649,500,503,649,502,800,649,501,649,502,807,800,501,503,16,500,83,500,503,16,503,502,501,502,501,502,502,649,649,282,502,897,500,367,501,502,501,502,502,503,816,800,282,503,978,800,800,742,503,502,649,501,16,501,502,800,271,649,502,800,649,500,503,649,502,501,223,501,380,282,282,649,282,500,501,800,800,500,282,282,501,504,503,500,880,501,800,515,800,501,500,503,504,103,501,500,800,501,800,500,713,807,502,500,103,503,500,500,503,501,502,800,16,501,504,649,649,800,503,502,282,800,503,236,503,501,800,503,500,502,503,502,503,864,418,500,649,500,800,800,800,16,500,501,529,501,649,800,462,500,800,274,282,502,502,500,649,501,107,16,503,503,800,501,500,502,649,649,501,500,500,501,649,501,500,501,503,191,503,282,800,812,501,500,649,504,800,500,800,500,649,282,912,800,503,500,501,500,502,500,800,501,728,501,107,500,501,501,649,649,501,802,503,393,502,503,500,282,503,649,705,649,501,375,501,800,503,501,503,503,425,800,503,107,131,501,649,500,503,501,500,649,800,586,506,502,501,800,16,800,838,501,503,200,28,260,649,638,502,504,500,503,501,501,440,503,800,800,846,502,500,649,816,501,539,500,800,504,800,503,503,501,800,837,500,503,500,282,16,501,649,500,500,820,501,94,501,16,800,649,501,500,503,107,16,502,62,649,502,800,502,502,230,649,502,16,503,98,500,501,503,649,503,503,502,500,501,503,696,800,502,500,501,438,282,503,649,500,502,800,282,82,800,502,649,500,649,649,500,800,282,649,502,502,503,282,502,503,610,800,501,503,649,649,418,800,502,968,503,649,502,504,503,500,500,649,800,627,502,500,807,502,502,800,619,649,800,502,503,500,800,800,800,500,649,501,649,649,800,501,503,501,500,502,503,503,501,500,501,281,800,503,501,502,502,503,800,800,800,502,500,501,502,500,500,434,800,16,649,502,649,282,503,502,649,16,501,501,503,503,501,962,501,502,500,161,649,649,503,502,16,800,501,800,503,64,503,649,800,601,16,502,282,16,16,501,685,501,800,800,16,649,504,503,648,16,308,800,500,502,501,800,503,304,502,502,649,282,800,501,500,500,501,649,500,503,501,503,649,501,502,800,649,282,800,503,282,501,800,503,501,649,800,282,800,500,500,605,501,503,501,649,649,16,382,503,500,495,500,502,649,282,649,501,800,502,500,282,503,649,500,503,649,649,800,800,282,501,500,800,649,649,500,800,649,502,767,282,649,649,800,16,500,649,504,800,503,282,282,500,501,503,282,800,800,649,800,503,649,840,475,727,503,604,800,211,500,503,93,503,501,502,503,500,504,649,500,282,503,515,502,16,504,800,649,502,500,502,502,501,603,800,800,800,502,500,649,800,800,649,282,502,503,567,501,503,649,282,500,502,649,800,501,800,502,658,870,913,800,500,800,503,16,16,500,502,501,502,649,825,501,649,503,501,502,282,503,503,503,504,501,429,502,725,503,649,546,502,500,649,501,16,329,800,502,649,502,649,503,500,501,354,649,282,503,800,649,649,282,16,501,500,500,456,282,500,501,100,502,503,16,501,800,503,282,800,800,501,649,325,282,517,649,800,503,501,800,177,748,649,500,800,18,16,503,800,738,800,800,502,500,504,800,282,695,500,503,282,800,500,800,649,649,501,500,649,500,502,800,501,502,502,629,500,503,649,800,75,894,501,502,502,503,501,500,149,649,500,500,500,503,111,739,502,282,15,649,503,501,282,501,649,800,649,501,503,503,502,500,649,500,16,501,103,502,503,501,649,502,649,512,500,502,578,500,502,503,800,800,501,502,501,502,501,501,503,501,503,776,503,501,501,282,985,649,649,800,282,503,503,800,500,168,153,434,501,502,502,503,800,649,500,502,107,649,800,282,934,800,501,503,649,504,503,504,649,501,503,502,503,598,800,502,800,402,800,502,507,800,500,800,800,502,107,282,502,234,649,501,503,502,501,733,500,500,800,800,126,503,500,503,800,800,282,887,500,503,800,502,901,502,800,503,282,502,501,800,503,17,500,503,800,413,107,649,282,20,500,501,502,407,502,502,502,28,502,911,649,800,500,800,282,502,502,649,197,216,830,347,282,502,649,502,501,500,301,800,282,16,501,502,500,16,874,502,282,877,502,134,711,503,502,502,282,16,15,501,502,649,502,519,649,502,501,705,503,800,501,418,46,500,282,503,282,504,649,501,649,503,503,500,649,649,500,503,262,501,800,502,500,107,501,501,200,944,649,502,502,282,502,500,897,503,501,501,503,649,504,282,500,502,501,649,502,501,504,213,649,177,800,503,649,16,502,625,889,502,503,800,501,649,500,501,503,649,649,501,282,282,455,890,503,16,649,16,800,502,649,649,282,500,59,502,502,500,501,649,800,427,502,501,501,502,649,504,501,503,800,800,501,800,500,565,502,502,282,503,649,503,502,500,800,501,282,501,502,501,16,504,946,503,501,503,800,282,502,500,500,800,252,922,800,500,500,501,800,501,282,500,120,800,351,502,800,500,649,705,502,649,800,503,800,649,502,503,503,699,649,500,282,649,649,503,107,503,501,649,502,500,503,282,450,502,501,500,649,502,654,501,341,503,677,649,501,501,503,502,503,503,782,282,500,838,968,290,501,649,143,647,502,800,503,502,500,502,503,503,503,504,800,107,502,649,800,800,103,800,500,503,504,292,649,501,500,500,503,500,503,500,16,501,502,500,282,813,649,503,16,503,500,264,500,501,502,501,16,502,825,502,800,282,800,502,503,503,800,500,16,501,917,800,503,502,503,800,647,335,502,282,501,503,500,501,503,192,500,501,503,503,649,649,20,754,503,282,501,282,503,282,501,501,502,501,502,502,383,502,501,503,503,501,282,649,800,764,503,500,503,796,800,502,503,503,501,503,818,914,639,16,761,282,500,503,501,502,230,800,16,501,503,503,502,800,649,800,501,800,16,649,887,502,502,503,800,800,501,649,501,994,502,282,949,800,649,503,649,636,501,625,501,371,282,503,649,282,503,500,500,649,500,800,501,501,800,500,503,500,28,800,800,649,800,263,800,808,501,500,282,800,503,282,228,502,739,500,649,501,800,503,649,649,503,282,838,503,500,649,657,649,501,649,503,796,501,424,503,501,800,504,800,501,510,649,282,649,415,502,502,503,623,282,968,501,500,501,501,501,501,502,800,500,282,503,503,282,16,573,522,1,800,503,561,501,529,282,649,649,502,503,500,671,503,500,501,649,800,500,649,282,692,994,599,502,500,983,649,649,800,502,649,503,502,649,800,16,800,502,500,282,500,501,70,649,503,649,500,16,503,503,503,282,328,503,800,800,16,503,503,500,282,649,34,369,282,501,649,502,32,503,502,502,282,27,800,503,500,800,500,500,387,500,500,500,502,649,649,502,501,800,500,500,501,992,503,503,649,504,602,500,369,501,649,649,649,933,500,503,504,16,282,502,282,503,502,16,649,800,282,282,649,552,500,501,341,502,107,282,649,180,501,800,649,503,800,649,501,502,649,800,649,800,282,503,800,16,500,649,500,649,504,915,501,800,649,649,282,501,501,995,800,501,649,500,502,649,649,649,500,649,500,806,282,500,800,800,502,800,501,503,501,800,649,813,501,26,503,814,503,705,649,800,500,502,649,387,649,502,649,649,503,501,500,502,500,800,502,800,800,500,503,265,503,500,800,800,501,800,298,649,282,680,501,500,800,835,502,500,502,500,501,948,282,501,361,502,800,282,502,649,502,937,500,502,501,649,649,800,501,504,282,901,66,502,503,649,48,501,500,503,16,500,501,103,800,501,503,503,649,504,16,503,503,501,107,649,800,504,16,282,500,501,501,975,649,501,503,800,501,503,501,500,500,16,223,649,504,374,649,800,649,500,504,500,504,501,649,800,503,649,649,501,504,501,503,16,503,16,500,500,800,16,503,649,800,800,503,501,502,500,649,649,501,800,720,501,502,503,649,631,90,313,999,661,500,501,500,501,649,800,500,504,649,649,502,800,649,501,800,501,501,501,500,800,800,282,501,16,646,282,649,800,503,649,800,502,500,503,501,16,107,649,800,282,503,501,501,649,649,16,501,282,500,800,500,501,445,694,282,800,502,500,503,501,500,500,503,500,502,649,690,500,501,502,502,744,503,501,649,279,500,282,282,649,500,649,500,61,503,691,504,502,503,676,502,502,26,649,500,504,800,800,500,800,649,289,503,501,502,510,282,501,649,501,502,16,502,107,503,649,501,501,504,502,800,500,502,501,800,649,504,800,16,503,115,800,800,500,500,502,500,800,503,800,124,282,282,500,502,503,503,696,649,826,800,800,501,501,502,800,476,500,649,501,701,103,500,500,800,630,500,503,501,736,501,500,427,649,500,649,503,501,501,362,502,501,282,16,649,649,501,502,503,502,651,500,502,282,800,800,649,649,291,800,28,649,500,500,500,208,649,502,501,503,502,501,562,800,101,800,501,800,793,500,649,800,649,502,202,156,503,503,130,501,71,800,500,500,501,501,649,840,384,501,502,590,800,501,782,500,800,501,500,500,649,500,539,500,649,731,800,649,649,503,649,800,501,501,503,501,500,532,501,800,503,649,800,107,649,177,503,800,800,282,282,649,800,503,573,501,649,282,881,800,282,502,649,649,800,500,16,800,502,503,500,649,503,502,800,503,16,643,649,335,504,500,503,800,282,426,649,649,16,800,682,800,922,503,282,501,500,501,500,500,503,800,502,800,502,502,500,500,502,503,503,503,649,501,500,649,649,800,502,649,759,503,649,631,16,501,800,500,503,649,503,503,440,649,967,800,501,502,502,282,500,933,107,500,501,282,503,503,800,502,500,282,800,16,503,500,500,500,504,282,800,649,501,502,501,500,500,502,502,649,649,502,282,16,502,500,503,649,501,500,800,501,503,649,800,503,800,649,501,503,87,649,659,800,502,282,314,282,282,28,789,502,502,649,502,711,800,501,501,503,500,800,502,504,501,282,501,500,503,649,503,736,500,501,503,282,649,500,16,502,282,502,526,503,501,649,502,375,502,502,649,501,601,649,649,800,800,800,649,500,501,800,502,501,530,800,649,501,164,800,500,800,107,807,107,800,649,500,503,800,282,500,800,800,16,502,500,282,503,501,800,501,500,649,204,16,107,500,500,500,502,500,800,503,670,490,502,800,502,502,501,649,503,502,282,501,501,282,373,321,282,395,500,502,649,502,649,649,504,16,800,649,800,501,800,502,649,282,649,800,878,501,502,503,502,649,500,500,501,503,502,504,107,582,800,503,800,800,649,504,500,501,503,800,502,503,500,800,649,107,500,800,765,501,500,503,800,502,502,501,503,501,502,501,339,843,282,649,503,504,502,502,503,800,500,800,502,503,500,104,122,503,649,500,807,800,736,504,800,503,500,649,800,501,800,800,282,501,502,417,187,502,504,501,502,502,501,503,409,282,282,500,50,500,649,348,500,501,231,282,501,107,502,501,501,649,502,286,501,800,502,501,16,502,282,938,649,503,500,282,649,503,501,649,501,500,649,502,500,502,50,502,500,503,800,800,800,800,500,503,16,62,649,501,501,657,800,800,649,282,503,800,282,649,800,282,276,501,504,502,502,649,500,502,649,503,285,503,501,503,649,132,502,503,140,444,503,500,649,649,500,152,503,501,649,502,502,649,502,502,500,502,800,501,502,503,504,564,501,282,649,502,800,504,501,502,282,503,503,800,16,503,501,16,649,501,501,502,500,16,800,800,649,503,800,501,503,649,181,308,800,501,503,27,311,800,500,503,649,282,503,501,800,181,500,564,800,503,502,808,649,132,638,557,649,339,619,501,649,502,800,501,501,800,501,502,500,31,500,19,282,800,504,502,16,107,500,282,649,150,107,501,500,502,502,503,987,502,649,502,501,811,649,501,500,800,800,503,649,502,649,914,500,502,502,649,762,800,501,679,500,501,800,502,502,282,500,800,649,502,296,500,501,800,649,503,501,501,502,503,248,774,502,502,800,649,502,500,265,282,502,548,503,16,501,800,503,502,877,500,43,649,800,503,502,502,502,501,503,500,162,503,800,500,501,504,800,501,502,800,503,800,800,649,800,282,502,504,743,649,502,501,501,502,500,503,502,16,502,503,500,800,800,649,501,504,282,502,502,800,502,649,503,800,503,649,649,500,501,503,500,16,502,649,503,800,502,504,800,500,800,502,502,500,16,502,503,500,649,501,502,503,500,502,649,501,501,500,649,413,500,500,500,649,501,275,800,975,975,501,503,501,670,503,800,767,195,712,16,501,503,649,649,800,502,501,398,342,503,159,500,500,502,502,649,282,484,502,767,800,502,649,502,503,800,649,649,501,649,320,501,800,259,16,800,502,518,503,503,502,800,282,503,501,649,502,36,501,312,800,503,502,800,282,502,282,503,503,841,649,502,504,595,501,502,291,649,830,500,503,757,503,500,800,502,649,800,138,800,800,503,500,502,690,16,501,643,502,501,282,282,103,503,649,649,501,649,649,800,503,800,501,501,503,504,502,503,800,503,500,16,500,246,800,500,500,500,500,503,500,503,502,800,157,503,800,909,800,649,501,649,807,16,754,503,733,800,800,649,503,503,800,649,235,282,888,501,503,500,800,789,500,215,500,107,800,649,503,800,282,282,587,500,500,282,679,501,800,500,649,501,649,800,121,649,105,282,347,626,800,501,502,649,929,848,16,500,800,649,16,328,503,500,649,500,501,800,500,107,502,777,500,503,800,502,502,502,501,504,282,649,812,500,320,649,500,649,501,502,282,649,501,649,503,500,500,282,730,800,502,502,502,649,500,631,649,267,649,649,649,500,649,800,800,501,502,500,503,500,502,649,503,503,503,649,649,503,282,649,763,649,37,800,800,503,501,282,502,501,649,735,503,503,649,800,800,502,800,500,392,502,800,705,913,503,800,16,107,300,370,501,503,641,501,502,557,800,282,116,649,649,247,503,282,800,503,42,502,368,765,649,502,282,182,503,748,503,923,501,501,501,501,502,503,501,500,282,500,604,779,86,282,501,501,503,503,500,501,502,548,800,800,800,649,494,504,800,800,504,502,649,502,502,800,551,501,800,743,502,718,800,107,800,964,339,602,503,502,288,479,502,503,649,282,282,800,680,107,500,500,800,168,649,649,621,503,502,282,800,800,500,503,500,503,501,503,800,503,502,502,576,500,500,282,502,504,503,282,278,501,500,800,502,282,521,649,370,503,502,310,501,800,500,800,503,282,502,760,800,501,282,502,800,800,503,503,503,800,503,240,500,501,503,649,502,972,885,500,800,282,649,502,649,503,502,503,649,501,503,282,500,282,501,800,167,501,800,500,649,502,649,503,503,800,606,503,649,282,16,875,649,107,800,603,655,501,501,800,800,503,282,502,501,500,503,800,503,500,649,122,500,649,500,649,503,649,800,282,501,503,174,502,201,703,311,501,500,73,501,649,282,500,800,800,503,500,107,282,501,800,233,150,705,500,800,800,500,163,501,649,501,502,502,501,502,282,800,823,282,501,231,503,800,501,503,503,282,800,503,500,502,649,501,649,501,503,503,800,215,503,282,500,519,766,503,502,895,502,502,324,43,800,649,500,148,953,503,282,649,381,503,800,500,649,500,500,500,649,500,503,649,134,500,800,503,502,502,500,800,649,504,500,800,800,649,502,649,500,800,500,502,503,800,800,800,940,501,649,649,800,649,501,500,451,878,282,282,502,649,503,107,649,502,16,649,501,932,800,500,649,207,504,40,282,477,282,501,501,501,504,500,501,649,649,501,282,649,156,697,500,502,502,969,107,746,501,500,800,503,800,16,502,800,501,337,500,500,503,453,649,502,501,16,501,649,200,16,503,105,16,501,503,502,938,800,649,649,649,500,16,649,916,501,503,282,800,800,393,712,500,502,800,503,649,502,536,504,502,503,500,501,502,800,500,500,649,16,800,800,502,923,500,16,800,503,142,800,649,503,502,502,502,503,503,800,282,500,502,800,502,800,501,501,503,825,130,649,493,500,649,503,503,282,649,441,500,16,503,349,501,282,282,649,503,503,649,800,501,800,800,501,282,282,503,502,649,500,500,502,649,503,528,630,282,103,501,714,501,500,502,500,503,800,800,503,503,504,501,500,649,502,500,800,800,800,500,16,800,501,500,502,502,800,649,800,800,649,503,649,649,649,502,107,503,800,146,800,502,280,649,503,502,502,16,800,503,500,502,147,502,566,501,501,501,501,502,649,649,70,800,502,16,701,503,500,503,649,501,800,502,800,501,501,282,800,502,500,502,501,502,649,649,800,800,503,502,501,502,800,649,502,501,502,649,800,649,502,500,649,282,282,502,503,501,282,282,502,501,502,649,501,503,649,502,649,649,503,501,500,432,649,503,503,503,501,501,503,500,501,502,500,649,502,502,825,800,649,569,500,695,503,501,501,282,379,692,649,503,16,503,800,800,800,800,649,501,649,501,503,800,503,800,501,800,800,282,649,800,395,800,953,649,649,501,479,502,501,215,502,800,503,320,501,800,649,501,503,16,740,502,500,503,503,500,800,800,500,16,502,501,426,502,649,502,282,649,500,500,500,46,502,824,282,800,649,282,800,800,500,503,649,501,501,800,282,502,800,503,649,800,649,500,502,500,502,107,500,282,339,501,649,191,503,500,500,501,501,500,3,93,16,502,503,500,511,502,503,800,501,504,990,16,705,649,800,502,282,404,649,800,501,503,282,800,537,649,649,52,649,649,500,500,503,16,501,800,649,502,649,800,249,502,385,501,649,649,503,502,500,364,282,501,502,500,502,800,16,500,502,800,968,503,501,800,500,649,500,13,800,501,502,649,800,503,502,282,502,503,16,504,649,501,800,502,800,16,502,649,798,501,503,502,503,501,503,503,502,504,500,502,215,800,649,649,800,503,503,501,500,500,500,649,649,500,800,840,291,502,16,16,501,107,204,501,503,501,502,800,500,501,649,503,649,800,649,282,503,103,500,500,501,800,800,501,967,800,502,649,800,282,649,502,501,8,222,501,649,108,724,800,333,502,16,649,502,107,501,807,16,503,500,502,649,501,500,925,649,502,501,649,800,649,282,297,163,282,800,501,500,184,500,800,500,502,649,649,649,500,282,228,502,500,693,805,441,649,501,501,649,649,501,503,649,800,800,649,800,502,649,800,502,800,649,374,500,502,406,502,502,500,504,800,499,504,501,502,502,649,801,800,282,649,649,282,800,500,503,800,503,649,500,800,503,800,649,80,501,501,800,800,500,107,503,800,500,501,502,649,649,282,503,501,67,764,649,501,501,649,649,649,500,502,16,282,649,107,503,272,649,282,800,103,800,500,503,16,649,649,649,245,108,649,502,649,831,503,503,501,503,800,500,800,503,800,800,800,501,501,16,800,502,649,502,869,503,501,503,503,800,501,649,16,649,906,649,16,502,297,649,649,502,107,501,502,500,282,501,502,282,649,503,39,800,275,501,500,484,500,502,502,34,664,500,705,501,501,502,318,649,500,502,47,500,501,649,503,502,502,504,16,800,649,341,500,282,649,501,282,500,800,502,501,649,800,282,502,282,501,501,500,282,500,282,649,800,501,417,800,282,503,502,502,800,282,503,500,649,952,503,800,503,503,503,500,282,502,501,649,649,501,501,503,501,501,500,800,500,533,282,649,649,800,500,500,705,503,501,502,502,501,649,649,649,800,501,500,153,503,800,502,501,501,16,502,500,213,501,502,501,503,501,502,524,649,126,282,874,503,255,800,502,501,649,282,936,500,16,500,503,649,503,500,502,501,500,502,502,800,502,500,503,16,500,705,800,501,500,649,649,649,500,501,572,153,500,282,16,807,500,800,501,502,800,500,501,282,500,502,502,501,649,800,500,501,649,800,501,800,501,501,800,649,800,500,649,503,282,83,500,501,800,144,800,800,649,503,342,376,800,500,372,500,649,503,282,649,500,502,503,502,503,502,282,501,545,107,500,504,500,800,800,503,399,503,503,649,16,503,503,500,502,244,800,282,502,501,103,501,503,500,500,649,282,107,500,502,40,503,649,500,800,501,500,501,504,649,649,502,500,503,503,282,504,585,618,503,800,502,502,529,501,649,503,503,502,41,475,800,501,503,800,501,778,126,649,501,800,503,501,500,282,649,502,649,800,503,800,500,649,671,503,500,800,504,800,800,16,649,503,649,501,502,500,649,503,502,85,16,800,503,649,800,501,243,502,501,800,501,500,939,800,500,502,234,500,500,263,800,907,501,502,502,800,282,975,500,500,501,800,800,503,282,649,649,500,501,107,502,649,800,649,501,502,282,501,282,503,500,627,834,778,502,502,800,501,649,800,514,58,16,503,800,502,649,502,282,337,800,503,944,502,800,725,512,337,649,891,838,500,502,501,503,445,502,502,16,503,503,993,649,282,500,282,113,501,649,502,649,800,16,16,503,503,502,691,800,500,500,649,500,501,500,649,500,501,501,501,501,502,282,502,503,800,502,500,501,503,503,503,504,532,525,282,502,649,503,502,649,502,503,500,649,502,107,649,16,500,649,282,800,286,503,501,500,501,649,502,500,500,295,503,282,500,501,502,398,800,501,456,800,912,500,504,502,107,500,500,502,649,503,502,503,502,503,410,16,501,502,500,800,500,500,504,237,500,503,502,503,502,501,552,502,501,502,501,663,500,649,649,420,501,800,649,502,502,501,649,824,107,503,649,279,501,501,649,120,800,500,500,502,502,649,800,649,800,501,282,423,107,16,247,502,501,500,503,800,503,500,649,800,649,282,649,503,649,500,800,501,649,282,502,800,605,282,502,500,800,503,365,649,282,16,800,649,600,649,500,800,800,502,800,500,282,500,501,800,501,501,282,282,800,649,502,800,649,220,503,501,800,500,502,500,502,800,500,503,800,500,503,800,649,169,649,502,146,282,282,500,282,500,501,500,500,503,501,649,502,501,705,649,649,503,800,800,503,649,800,800,500,649,500,500,103,649,503,503,503,502,500,907,800,282,282,649,500,502,150,649,649,503,502,502,502,800,22,800,502,455,501,800,800,392,649,501,502,878,500,282,502,649,500,500,500,162,501,978,800,501,649,503,500,503,502,502,502,503,800,503,500,502,282,107,649,503,800,502,502,817,500,16,576,649,800,500,502,502,282,321,503,16,800,185,500,503,834,800,503,501,501,649,649,503,952,649,189,197,501,501,500,501,800,502,800,649,23,500,800,649,502,503,800,500,502,99,501,500,800,244,503,649,649,649,282,504,649,500,501,503,500,503,649,486,500,503,500,800,649,274,501,502,500,502,500,649,501,23,502,502,500,503,649,503,501,503,649,202,503,500,502,502,500,16,649,501,800,503,270,649,502,641,16,502,649,802,649,500,503,502,800,501,464,502,649,500,500,649,503,501,282,282,649,282,800,800,16,282,649,800,16,282,649,503,503,504,107,501,501,501,800,649,282,181,800,500,502,649,502,649,502,800,457,800,500,16,282,649,503,649,503,502,800,305,705,649,16,503,502,800,311,502,500,103,501,502,800,502,282,282,649,649,800,503,282,500,649,500,649,502,800,649,500,800,800,501,649,282,503,649,800,538,501,502,649,502,501,503,501,502,555,500,249,503,501,500,395,503,649,500,649,503,503,282,502,501,282,500,800,968,800,503,503,649,503,500,501,103,579,800,502,649,800,123,502,502,800,502,997,500,501,800,770,225,800,503,500,282,649,500,20,195,800,503,282,501,501,501,800,282,898,500,800,800,503,282,501,500,501,503,649,501,308,107,649,112,503,16,270,502,500,282,500,603,500,236,500,282,501,501,500,649,500,500,800,800,503,800,502,371,649,502,800,16,502,807,312,282,800,800,649,503,501,503,500,501,502,502,501,800,800,502,501,502,502,500,282,703,500,502,500,501,503,504,503,282,500,651,500,501,501,503,649,503,501,493,762,348,513,705,501,501,519,503,501,282,501,800,282,649,501,502,800,502,800,649,649,503,501,800,800,503,500,501,649,282,502,503,282,501,282,16,800,800,649,501,800,500,649,204,501,800,282,502,187,649,649,500,502,282,503,800,649,503,800,501,503,503,502,502,503,503,282,501,649,800,800,501,503,106,501,800,16,208,500,16,800,500,503,800,649,502,107,500,282,503,93,282,649,502,800,371,503,500,800,502,501,500,800,502,500,503,370,500,800,501,501,500,502,649,800,501,651,503,921,103,501,16,502,503,501,796,503,472,800,501,503,500,800,16,500,800,502,807,800,282,649,500,282,502,282,664,800,503,501,649,500,503,503,503,502,103,500,107,503,502,37,503,500,824,500,503,282,500,502,500,354,503,128,800,501,482,818,500,800,649,503,800,929,500,280,501,800,500,800,800,502,501,800,620,503,649,800,903,898,800,502,504,502,264,261,500,798,800,502,502,501,503,39,503,503,503,501,501,503,649,503,501,16,500,501,282,501,501,649,503,800,192,841,691,502,282,500,649,649,504,501,103,800,649,282,933,282,800,500,503,649,503,502,778,107,502,501,500,800,800,800,643,21,500,501,800,501,522,501,503,502,373,503,503,502,800,503,800,649,503,800,504,16,800,502,282,325,503,282,649,502,503,500,500,502,503,800,503,649,503,282,16,16,649,500,502,800,107,500,500,502,800,649,502,501,500,193,501,502,649,503,282,649,502,503,378,503,503,739,500,504,649,502,6,282,503,649,282,503,248,501,649,502,501,282,502,983,282,848,800,103,282,649,502,107,800,282,47,649,503,800,504,503,500,442,500,503,502,649,500,501,500,215,503,282,501,800,282,500,501,501,649,500,501,502,502,502,800,502,501,800,282,501,800,500,800,949,800,502,649,16,501,500,16,649,503,704,501,649,500,503,501,800,800,415,502,502,502,502,602,649,496,501,500,500,765,501,502,503,501,501,500,500,504,649,503,503,503,107,500,800,800,800,649,503,16,502,501,501,500,649,500,804,500,800,649,500,376,501,107,500,501,501,439,503,501,502,800,502,502,800,501,500,125,504,649,502,503,16,649,649,500,503,502,502,500,649,502,501,649,800,649,502,691,800,500,649,127,502,282,536,800,396,501,282,504,500,503,103,107,504,501,503,282,501,800,800,649,282,501,800,649,282,705,501,503,800,649,649,204,503,800,500,852,503,501,649,500,36,800,16,70,502,501,800,501,502,502,501,16,61,500,503,649,942,502,243,502,745,16,500,562,649,242,503,504,504,502,501,501,503,500,282,201,502,189,502,736,500,800,503,503,500,218,800,500,501,500,649,649,649,500,649,502,649,500,669,503,282,500,16,501,800,502,800,500,502,16,503,800,500,502,502,761,862,443,963,16,502,502,649,500,800,649,503,841,800,504,502,500,502,504,502,282,649,16,649,500,649,502,502,487,502,649,800,649,500,502,501,540,787,800,503,800,503,649,282,649,503,649,282,504,503,503,503,649,649,502,257,800,502,234,649,282,503,16,649,336,501,649,502,503,705,502,504,741,203,502,500,503,515,649,500,800,871,800,500,649,502,800,649,649,800,503,502,500,800,812,182,500,16,501,503,501,221,800,500,649,800,180,800,500,503,501,502,500,649,649,282,649,107,503,649,913,649,503,503,503,503,800,500,809,502,649,501,800,649,800,800,649,500,500,501,282,500,502,501,649,504,600,649,501,282,502,501,500,501,500,311,501,500,16,500,800,503,47,503,282,502,386,500,502,336,501,501,800,237,649,800,504,664,502,501,649,501,503,501,503,502,649,502,503,800,501,501,501,501,502,550,502,502,500,282,500,649,503,500,800,503,502,501,800,649,503,800,282,16,501,500,500,500,800,649,503,800,16,503,502,503,779,800,649,800,501,502,649,800,503,503,503,501,502,501,500,367,502,502,501,501,500,500,283,503,502,500,503,502,282,500,501,800,800,611,282,426,503,503,2,647,49,501,501,800,503,349,503,840,16,501,503,649,800,501,502,500,504,800,800,16,649,649,900,500,800,16,501,503,649,649,502,800,502,649,800,800,502,16,649,502,500,500,378,282,580,800,500,501,649,500,800,501,500,500,502,501,107,503,502,501,502,501,502,800,574,500,762,800,976,501,503,501,503,649,800,190,800,282,282,500,502,800,440,503,500,649,504,503,503,501,503,501,503,649,907,502,649,800,504,282,105,800,501,282,649,800,503,649,282,502,649,503,501,16,502,500,16,649,502,518,800,800,503,332,501,649,292,282,503,500,503,800,609,500,502,800,503,649,500,503,649,649,16,503,800,282,501,800,500,501,800,800,501,501,501,800,649,502,649,282,501,282,501,800,107,16,502,800,500,501,502,282,502,282,649,503,800,696,800,501,502,503,610,501,503,500,800,500,282,649,800,16,502,503,800,649,781,501,503,502,503,403,800,501,501,500,649,502,501,649,503,502,500,502,502,501,649,649,504,370,649,881,16,16,91,915,500,501,649,501,205,740,800,500,529,501,502,107,502,307,16,649,502,800,500,649,502,500,800,501,103,649,800,501,500,16,649,501,501,501,500,649,503,500,502,282,501,502,503,282,500,503,500,503,649,503,502,649,800,595,502,504,649,503,800,897,503,501,502,500,500,649,800,501,800,800,500,503,503,282,500,501,406,800,282,503,800,800,800,500,800,500,800,649,500,504,501,500,800,800,800,501,800,800,501,649,503,242,500,800,800,649,500,282,502,800,800,500,503,282,16,800,274,282,500,649,800,539,502,500,282,282,800,502,649,502,507,800,649,503,503,690,991,800,501,502,501,503,649,800,282,502,500,501,501,649,649,503,107,282,649,282,500,501,800,500,501,81,500,504,502,501,282,500,503,500,380,800,649,501,800,649,502,649,501,503,500,656,168,503,502,500,800,501,501,501,502,501,649,502,151,594,501,649,500,881,800,800,649,903,502,502,500,800,503,504,501,500,282,401,649,282,107,502,500,500,282,800,810,502,107,502,166,240,500,502,550,500,503,501,282,470,649,282,500,282,649,800,502,649,502,889,500,500,501,16,501,800,800,500,649,800,503,282,502,503,500,501,800,501,790,501,16,649,501,800,12,854,501,501,502,282,502,282,800,800,800,502,502,800,501,800,800,503,503,16,649,503,504,649,501,500,503,500,501,500,800,502,500,282,500,649,800,502,501,501,800,504,789,501,503,238,800,16,851,124,649,502,649,503,501,500,282,649,800,503,800,503,501,501,16,649,500,503,502,800,800,16,503,103,502,800,649,503,649,800,649,513,282,500,503,282,504,282,501,502,800,800,130,501,201,282,282,501,918,501,282,800,500,501,502,800,500,502,500,389,800,501,502,503,503,979,502,503,282,800,501,500,501,800,706,482,203,649,502,800,649,502,502,503,501,570,503,649,800,252,800,800,649,501,800,282,800,391,19,503,503,131,800,649,501,818,501,107,800,503,501,282,16,649,500,282,16,502,800,419,503,500,888,500,16,500,800,500,649,649,501,502,649,649,800,649,500,503,282,500,649,282,957,800,503,800,500,500,502,503,800,649,649,501,500,501,773,747,40,502,501,459,649,502,500,282,500,501,502,502,16,800,500,649,103,500,500,649,766,282,649,503,460,500,282,800,800,997,800,649,282,753,503,501,975,649,649,282,504,501,503,282,649,649,501,500,394,503,501,502,503,16,500,800,649,500,500,501,501,649,501,282,500,988,500,282,800,502,107,503,503,502,649,600,503,649,800,501,800,500,800,552,502,502,503,500,502,800,500,503,501,503,649,500,114,502,649,501,800,501,500,579,500,816,282,282,502,502,502,501,288,800,502,108,500,503,500,504,501,282,621,501,649,16,800,649,502,503,309,800,800,996,501,502,502,501,433,800,58,500,502,894,501,503,177,649,118,501,501,800,501,503,16,649,501,503,501,500,502,503,237,915,800,501,107,503,501,503,800,800,502,503,282,501,503,16,502,503,500,502,282,800,800,500,503,503,800,502,811,502,107,107,501,500,800,502,500,649,503,649,501,502,500,786,800,282,190,502,415,502,503,500,501,800,502,501,503,489,503,501,501,649,503,502,500,504,501,649,649,423,800,282,500,501,800,501,649,177,501,800,502,502,502,800,649,649,500,870,16,503,501,501,502,503,800,500,500,503,800,501,500,502,500,500,244,500,503,800,459,503,649,800,503,649,500,649,786,503,500,500,16,800,800,649,446,800,17,800,800,649,503,649,503,630,662,235,500,800,500,721,500,649,800,500,89,800,502,649,548,503,649,501,649,501,500,649,503,800,502,503,500,800,502,91,16,649,502,501,649,501,501,504,800,302,649,649,501,500,501,649,160,800,502,502,501,649,503,503,649,775,501,16,649,800,282,282,649,500,649,800,500,503,501,502,649,649,502,649,500,771,500,649,502,609,502,441,800,800,502,902,501,649,649,282,503,501,282,800,501,800,500,16,282,501,103,649,501,500,107,501,649,800,649,597,501,800,800,16,501,282,502,800,103,16,649,282,501,16,502,491,800,501,502,500,649,501,649,649,501,500,502,649,500,502,282,500,649,503,500,503,649,292,503,500,502,503,878,502,501,649,501,501,501,956,16,800,800,649,649,501,501,504,800,500,800,500,500,503,282,502,800,800,800,503,107,501,501,800,501,501,204,536,503,649,282,501,107,282,334,501,502,501,503,800,502,503,500,151,800,103,502,501,710,502,503,502,649,503,500,501,501,282,543,500,503,649,649,705,501,503,800,649,502,503,235,502,478,501,649,656,800,501,503,16,501,502,503,800,282,800,502,503,649,501,504,232,504,502,501,16,800,705,649,107,500,502,501,649,500,503,649,500,500,649,501,649,503,503,628,500,649,503,282,649,501,689,649,649,500,500,500,16,502,501,502,349,283,503,503,502,892,649,597,189,800,16,800,16,503,21,501,800,503,800,800,649,800,503,500,778,551,602,800,649,16,282,502,390,16,501,502,503,504,115,502,649,501,889,503,502,340,502,830,641,649,649,800,649,500,649,500,501,179,500,502,649,61,500,503,800,501,649,503,501,502,501,501,501,503,503,649,500,500,503,553,369,503,503,622,649,800,649,649,506,800,501,504,16,800,649,500,503,800,503,500,502,502,500,501,500,501,649,362,16,503,282,500,800,878,800,500,282,981,800,297,502,502,800,800,800,501,500,503,500,500,282,649,649,500,800,16,500,800,502,501,800,502,503,649,800,649,500,500,282,504,504,501,502,282,282,684,501,649,649,502,800,500,649,649,501,16,649,800,649,282,501,16,16,502,800,649,500,503,503,800,204,502,250,502,800,800,800,502,915,916,800,800,16,503,34,282,503,503,500,502,502,500,503,500,241,503,800,500,502,501,505,501,503,800,504,631,800,503,649,800,501,502,174,503,38,503,501,501,649,502,503,503,503,500,649,800,502,29,649,500,768,16,649,502,195,503,649,502,16,800,502,501,990,800,500,649,503,503,500,36,501,501,504,500,501,767,649,282,501,500,503,800,282,502,800,649,874,649,500,12,500,649,282,649,649,501,649,450,503,501,502,502,501,956,649,800,800,500,500,502,539,800,933,502,16,500,800,16,649,501,281,502,800,502,649,800,800,501,800,282,502,649,800,500,282,500,501,503,502,807,503,502,500,500,500,500,503,282,649,649,280,503,501,502,500,800,377,501,501,504,501,152,800,502,282,501,529,503,501,683,504,502,938,504,503,502,503,800,503,502,502,649,16,649,103,503,800,503,503,503,501,500,501,800,282,282,500,503,500,502,500,501,503,695,103,502,649,500,501,500,501,649,501,503,649,753,500,649,503,146,960,649,649,502,502,501,500,47,500,501,503,500,502,504,502,800,649,9,649,501,800,800,800,502,895,500,649,502,500,500,16,501,289,988,503,16,502,501,649,282,800,16,107,502,122,501,764,800,800,649,501,705,504,500,503,16,502,800,500,500,798,16,503,748,800,282,107,500,503,649,649,501,503,500,500,649,502,501,503,649,500,800,501,800,503,282,502,649,667,503,649,503,800,823,501,502,649,500,800,800,313,800,649,500,355,800,503,37,501,500,306,649,502,502,502,649,503,501,649,649,638,501,500,500,800,503,501,501,800,502,279,800,16,580,503,800,503,501,500,502,500,649,800,503,287,282,502,649,649,502,500,649,501,282,490,122,500,500,276,900,103,500,500,501,649,275,282,503,872,503,501,324,501,500,282,501,800,800,649,411,501,507,16,800,649,800,503,501,456,282,500,649,234,502,503,501,502,797,546,649,504,500,800,330,503,649,800,137,2,501,175,503,503,800,800,16,925,282,649,501,501,103,503,503,649,501,502,503,898,649,502,649,952,649,282,649,649,502,503,503,666,501,649,800,500,412,649,502,503,501,503,755,501,744,800,649,851,503,282,282,501,503,77,502,800,500,282,282,649,745,503,503,203,503,500,502,976,800,800,649,800,501,704,501,503,800,503,920,501,502,891,503,503,282,649,501,154,500,649,500,503,649,800,501,649,503,501,282,646,282,501,500,800,138,912,800,501,502,503,16,567,502,529,154,501,503,501,500,500,649,564,503,504,282,649,800,649,503,16,503,502,649,503,649,282,502,800,73,501,501,502,800,503,501,501,722,16,501,500,16,502,65,800,502,201,800,649,503,800,429,500,800,16,800,501,142,781,957,103,500,502,502,935,500,800,282,649,500,501,745,502,649,649,16,800,45,503,800,649,501,282,282,500,281,649,800,282,282,501,708,800,501,503,502,649,282,954,500,502,725,148,800,502,800,500,350,503,502,502,503,503,501,500,185,16,800,800,503,503,282,500,649,500,501,500,426,800,16,800,501,503,800,92,649,500,282,649,503,503,16,503,649,501,500,800,501,502,502,800,502,500,16,501,574,503,800,501,502,282,800,500,500,800,210,89,503,502,503,502,282,800,282,503,627,107,800,500,649,503,501,260,503,503,407,282,649,500,649,500,107,16,500,502,282,501,502,27,800,649,502,800,800,500,800,800,649,378,16,649,282,500,800,529,500,800,800,16,502,960,800,649,21,532,503,107,502,502,282,503,500,501,340,503,16,807,501,603,649,501,500,282,800,573,800,19,503,800,501,503,502,501,502,501,649,649,500,500,500,502,649,800,500,503,502,501,500,395,649,500,649,800,502,282,503,500,800,500,502,80,649,503,800,16,501,800,503,505,800,503,649,800,500,649,500,800,649,502,737,503,501,501,500,16,502,502,500,977,503,501,500,282,649,504,649,649,649,502,649,502,387,501,528,800,367,649,503,502,503,74,649,503,649,688,800,282,72,649,501,16,502,382,500,502,503,503,800,649,649,800,649,649,649,502,649,649,649,503,502,503,502,649,501,502,764,800,838,503,502,800,501,649,789,504,282,649,501,503,492,649,800,649,649,649,649,649,501,16,503,495,825,500,503,503,282,172,800,503,504,503,503,500,800,501,800,503,282,649,503,503,500,107,282,16,501,503,503,939,649,500,574,768,800,500,503,649,800,299,501,808,282,800,649,501,501,649,503,999,649,500,282,500,282,501,800,500,800,501,16,649,955,503,501,500,501,502,503,500,503,503,649,204,649,800,800,649,503,500,325,501,501,501,503,800,800,502,501,16,500,503,503,504,503,501,501,611,501,649,502,800,500,649,501,649,319,502,502,800,500,800,503,247,500,282,503,16,800,502,227,501,649,800,649,500,800,800,482,705,503,103,107,500,502,503,282,503,500,503,500,649,649,649,500,426,500,502,500,500,678,107,500,800,502,282,503,502,282,16,501,503,502,503,457,282,649,500,503,649,502,282,501,476,649,502,501,500,501,16,189,501,501,502,589,649,501,800,500,800,649,502,649,16,800,649,501,502,501,501,800,504,503,282,857,504,503,282,649,502,588,503,420,282,649,649,649,500,503,500,502,570,502,500,649,800,503,649,501,741,500,500,500,500,800,501,502,99,500,800,800,180,282,502,55,958,502,502,501,649,282,649,649,500,502,282,502,800,649,800,649,504,470,649,501,502,501,501,800,188,824,502,502,503,503,502,500,656,800,705,501,500,158,218,502,649,107,501,800,649,282,500,320,503,649,501,800,649,445,282,800,503,501,598,800,800,800,16,282,504,500,282,502,500,500,503,503,503,502,503,16,500,503,800,501,800,503,502,282,502,500,501,649,500,18,800,503,501,502,533,500,501,502,800,649,342,34,501,504,501,107,800,500,503,502,800,502,649,649,800,502,870,649,503,23,502,503,649,503,500,501,332,282,719,486,503,500,500,501,501,498,501,167,500,800,107,500,503,503,503,501,503,649,129,504,649,503,503,282,503,694,800,103,501,503,649,502,649,150,169,103,500,503,649,504,649,502,800,503,649,500,649,16,800,148,502,500,501,649,500,501,649,503,502,501,649,800,800,565,501,800,413,649,501,16,501,314,800,649,503,800,501,500,649,500,503,649,800,800,649,501,800,282,649,502,629,649,503,501,800,800,501,16,503,800,800,649,503,503,16,649,503,501,501,282,501,501,391,501,501,612,504,282,503,649,800,393,696,501,501,501,649,501,500,800,800,502,503,234,500,502,504,502,729,16,321,502,681,649,649,501,503,649,649,502,503,500,500,501,282,337,649,502,501,500,502,282,800,501,649,503,649,16,649,504,282,500,295,16,501,500,16,347,705,229,422,665,408,649,282,500,754,649,500,501,800,977,500,500,800,500,501,502,503,649,500,649,502,502,502,649,500,649,699,282,503,501,500,800,502,545,503,182,501,800,800,500,500,282,500,344,800,649,503,502,501,503,500,504,16,800,649,501,800,800,282,800,649,800,501,667,501,500,501,465,649,502,282,503,500,502,16,906,282,503,502,800,649,16,503,800,500,649,503,500,503,503,503,793,504,504,282,500,649,800,282,502,800,649,501,506,133,503,502,503,500,500,282,800,282,649,502,501,501,502,503,502,800,500,51,502,502,800,649,800,649,502,503,504,534,503,800,254,282,501,503,800,500,500,800,282,269,16,800,501,503,474,649,503,503,500,431,502,649,800,500,358,500,16,500,502,282,282,282,226,502,282,503,503,649,501,649,210,800,798,503,800,501,504,500,781,501,503,500,649,282,500,502,649,56,502,800,504,502,502,500,501,501,503,504,649,504,800,649,649,503,649,282,282,649,69,502,800,500,282,500,326,800,502,649,502,500,514,800,259,997,501,206,813,16,500,502,500,800,503,500,282,500,161,504,501,655,282,649,282,800,649,282,865,649,282,502,502,107,870,800,618,800,800,800,500,501,800,996,649,282,503,503,503,649,502,282,16,649,282,800,30,282,649,800,500,57,501,762,501,500,502,800,501,649,502,800,800,504,16,649,282,757,501,800,503,503,107,503,282,800,503,649,500,502,911,503,500,800,500,502,649,282,800,502,502,61,588,500,501,649,501,500,282,501,501,500,800,501,282,501,500,282,800,800,310,502,649,800,800,500,501,282,722,800,502,500,282,282,502,503,800,503,501,800,503,503,501,501,800,649,501,501,503,503,800,502,282,16,500,503,501,550,16,800,503,649,501,91,501,500,282,526,800,778,502,502,879,87,800,800,800,282,501,501,800,500,501,503,503,500,502,654,501,501,311,502,503,282,866,649,500,501,649,282,282,282,282,500,502,169,502,501,500,501,503,649,800,500,500,503,503,500,800,502,554,502,500,800,500,502,778,800,649,649,501,503,503,800,503,504,502,501,649,800,502,800,502,800,800,282,997,800,503,649,649,800,502,101,800,165,504,649,501,500,502,800,772,16,502,465,501,844,502,800,500,502,502,282,800,649,800,440,501,501,282,503,502,571,500,500,500,500,503,16,503,501,502,649,672,800,503,386,501,800,503,503,800,503,800,503,800,341,500,503,501,501,501,503,500,502,800,800,503,503,964,503,501,502,500,502,530,649,503,502,649,502,16,282,649,282,16,500,502,502,503,282,503,705,503,501,239,649,500,500,500,649,502,502,501,800,649,503,800,800,500,649,503,500,282,649,500,282,649,500,649,107,366,282,501,503,800,500,467,502,649,282,500,16,502,649,503,500,500,503,503,502,503,900,503,502,503,502,16,881,500,503,501,500,500,16,502,501,503,504,500,92,503,800,800,107,502,502,504,500,504,800,800,107,503,500,266,503,282,501,649,282,501,107,502,649,186,282,800,501,503,503,800,800,500,649,554,649,282,649,800,800,276,649,503,502,502,649,502,352,503,500,500,503,282,503,282,649,772,705,947,800,500,16,765,649,501,16,501,282,16,503,649,500,503,800,500,500,649,800,764,395,502,800,503,501,489,501,636,800,500,501,773,500,16,501,800,503,503,502,502,501,500,649,502,282,800,649,420,823,800,800,282,376,649,500,800,501,800,649,649,501,800,501,502,502,800,503,501,649,659,502,649,282,501,501,503,502,500,503,649,649,501,288,500,223,501,503,800,503,503,800,501,649,503,502,681,649,500,16,501,800,369,501,503,649,503,503,16,282,500,502,501,649,503,649,553,503,800,800,502,800,502,705,282,649,503,500,16,501,418,501,502,500,649,800,501,649,282,501,794,16,649,501,502,800,649,282,500,500,16,800,649,500,503,800,502,800,500,16,501,649,501,233,16,282,500,502,501,282,649,800,501,597,759,853,501,16,649,649,503,503,500,605,649,502,212,500,501,800,500,503,178,500,500,502,504,107,800,800,649,139,800,16,500,503,503,502,503,502,649,649,502,501,103,502,107,565,501,500,649,501,282,502,503,800,282,282,649,649,55,800,800,649,500,632,503,219,503,502,502,16,800,500,501,501,502,503,503,503,800,282,501,800,502,442,502,501,501,502,502,503,501,800,500,649,502,649,503,282,877,800,649,500,500,649,500,282,800,649,500,601,891,501,282,503,16,282,500,503,649,503,282,501,500,800,800,16,504,800,502,649,751,800,649,649,551,649,680,649,282,500,800,282,800,502,502,800,503,800,16,649,502,503,500,503,282,501,500,501,500,800,500,504,502,504,502,502,503,500,501,503,800,500,815,502,800,800,800,500,500,649,649,501,203,500,16,16,649,501,440,502,502,500,502,502,570,241,649,800,503,503,800,220,649,503,502,500,412,800,503,503,501,282,503,502,649,503,16,649,800,649,501,721,501,501,800,502,800,503,503,649,503,800,800,282,841,502,502,800,502,501,502,501,501,107,805,649,649,503,16,16,503,649,800,501,649,800,209,649,16,502,649,500,800,502,895,282,503,501,501,503,502,800,500,503,649,649,504,925,649,502,503,503,500,501,282,501,500,649,503,112,442,503,502,501,501,282,500,503,501,736,621,501,800,649,501,501,800,800,649,649,500,282,502,800,501,500,649,282,501,649,649,800,228,649,800,946,501,500,748,649,504,16,16,502,800,503,502,501,282,649,16,478,649,649,502,501,504,649,16,501,500,800,181,500,16,649,107,501,667,282,503,504,503,501,282,282,503,695,800,800,649,501,502,501,501,502,502,500,282,517,503,503,504,282,800,500,282,279,503,16,282,751,501,502,705,502,286,502,800,800,800,240,500,500,503,501,649,800,500,649,800,503,503,503,500,501,649,503,103,503,501,649,282,662,503,800,503,503,503,282,502,649,282,504,503,501,501,504,503,501,501,500,649,500,500,503,502,649,501,500,800,649,649,800,649,501,503,503,502,649,501,502,16,500,503,500,500,502,500,503,649,502,103,508,800,296,800,501,800,253,649,502,107,500,500,811,39,501,503,282,501,16,521,800,800,503,503,501,282,504,453,502,500,501,800,503,504,800,906,501,282,800,800,502,649,649,800,302,501,282,503,502,649,500,503,502,649,649,282,501,800,649,649,800,282,649,979,503,500,501,800,500,649,649,282,501,503,502,16,502,503,500,282,282,82,282,649,502,503,502,502,800,503,501,649,282,502,503,501,500,800,800,495,502,503,800,500,800,649,800,193,502,649,502,800,501,503,502,503,500,500,649,691,263,289,500,383,800,500,503,107,501,649,500,500,966,800,800,282,501,502,503,500,800,502,693,649,501,282,501,649,649,502,379,500,48,500,649,500,500,500,477,503,504,800,16,500,29,763,500,502,800,649,500,649,504,502,501,800,501,344,800,740,503,649,502,502,800,503,649,649,649,501,501,649,501,158,501,501,503,501,502,649,503,649,800,649,800,649,800,649,800,500,503,502,501,649,500,502,502,800,649,503,347,503,649,649,501,649,502,107,504,282,500,500,282,500,500,500,649,739,501,502,966,800,800,649,502,16,649,649,649,343,282,502,103,503,800,502,649,500,16,500,502,503,649,649,502,501,500,502,649,503,16,649,503,649,503,503,503,503,502,503,501,502,746,947,649,501,34,649,649,576,503,503,649,502,649,501,800,951,3,503,282,502,649,616,501,500,400,800,500,98,501,500,501,503,503,282,649,800,500,800,649,507,503,480,502,503,800,503,502,503,800,649,503,502,282,16,649,649,501,504,502,500,716,503,907,16,503,16,503,500,800,282,649,502,503,500,503,16,502,800,800,504,500,649,501,503,282,503,500,111,137,800,16,649,659,627,282,649,282,503,649,103,649,501,501,16,501,500,649,504,502,800,500,501,501,503,503,500,500,501,500,501,800,649,800,500,501,649,504,800,800,881,503,503,500,500,282,503,501,501,501,649,504,503,132,800,500,501,501,800,500,949,649,459,282,800,282,500,807,503,502,800,707,16,503,282,500,502,649,503,800,649,649,649,649,503,834,800,14,502,502,649,800,282,800,503,501,650,447,500,503,649,503,757,155,503,800,282,500,800,500,722,649,649,649,500,502,282,500,800,500,282,16,800,502,107,502,706,800,601,361,503,282,649,296,649,501,16,503,503,256,500,346,502,282,501,649,500,199,500,649,649,649,501,502,800,649,503,500,501,502,443,282,282,502,800,502,282,800,500,501,501,501,503,800,16,649,17,800,504,500,649,501,502,649,282,503,502,500,500,500,503,501,649,800,501,502,501,738,503,500,501,800,503,501,503,502,500,768,503,283,447,823,100,500,502,500,503,649,500,649,103,649,501,500,502,500,502,503,796,425,722,800,503,800,501,502,500,502,649,800,502,649,193,130,501,107,502,282,503,16,501,619,649,504,500,504,286,503,501,649,800,422,503,503,503,502,501,16,800,503,503,649,500,16,503,705,500,503,502,564,649,649,503,500,800,649,800,980,502,501,503,502,800,501,503,500,649,800,649,800,500,503,500,800,502,500,502,500,43,800,649,649,501,800,800,500,500,502,502,800,501,500,527,800,503,800,502,649,502,501,649,691,16,800,800,502,800,501,500,503,502,503,14,500,501,504,800,503,16,649,800,500,866,282,501,282,501,501,877,807,500,649,649,116,500,501,502,649,800,800,800,500,502,649,503,800,745,649,372,502,649,503,693,502,107,504,649,800,500,500,744,502,649,649,282,800,500,503,282,500,649,503,649,500,501,800,282,649,861,994,800,500,503,800,503,501,726,800,503,800,800,500,16,501,800,503,969,16,500,649,502,282,800,501,297,503,503,503,502,502,500,649,503,691,282,800,649,911,504,649,282,500,649,501,503,649,649,800,500,503,16,504,649,502,504,382,649,282,649,501,500,502,503,705,503,800,503,691,502,16,501,649,649,500,502,649,500,500,649,501,502,501,649,649,800,502,16,501,800,500,500,502,649,502,282,282,43,800,500,282,832,502,501,502,649,500,500,649,471,649,800,800,500,322,501,502,502,501,501,649,649,800,211,503,649,500,800,553,500,649,800,500,502,622,746,501,672,282,649,502,282,649,16,501,503,879,649,500,500,942,649,800,501,107,500,502,649,649,107,649,503,501,649,503,649,800,503,800,649,501,503,16,702,502,16,649,282,800,501,501,502,649,501,503,16,800,503,240,44,16,800,502,502,502,503,324,501,502,649,800,503,501,504,503,282,282,503,503,118,649,144,501,878,282,649,503,503,502,500,500,502,282,800,501,16,522,503,503,649,503,282,501,500,502,16,503,502,502,800,504,503,503,800,800,800,501,503,500,107,649,500,761,501,501,502,704,282,502,502,649,16,649,502,16,503,503,501,800,501,649,501,501,500,502,800,107,282,103,282,501,502,503,502,503,502,500,282,503,502,611,409,502,503,500,800,800,503,417,501,502,503,501,649,501,182,16,502,501,504,649,501,282,800,501,649,800,501,282,503,734,649,800,501,501,502,502,83,502,311,649,800,500,502,503,501,503,800,502,502,500,501,503,59,501,429,503,261,376,282,502,107,503,800,502,107,800,501,501,282,500,503,649,501,501,502,501,559,649,800,800,503,800,501,16,910,503,502,500,332,973,649,16,977,503,649,282,16,502,501,282,500,649,500,800,800,501,502,800,807,257,649,452,800,156,282,503,649,500,502,501,502,649,35,501,502,501,282,502,800,502,503,502,800,500,936,500,649,800,504,504,501,504,16,800,649,501,501,446,503,649,800,501,649,500,503,947,500,502,800,649,282,502,649,2,501,800,649,500,500,502,502,503,501,649,181,502,500,800,502,503,501,837,502,502,649,504,503,649,589,503,800,502,503,107,501,445,800,800,800,500,502,649,16,502,504,500,500,649,501,500,501,800,649,649,282,502,800,501,502,649,649,503,800,649,501,190,800,503,501,503,705,501,800,649,502,282,500,800,502,503,503,503,628,800,503,500,649,649,649,501,649,503,503,501,501,502,502,963,800,649,16,502,800,501,282,649,502,500,502,800,503,502,500,504,800,800,501,502,16,649,282,501,503,282,715,800,282,500,282,501,503,649,500,501,649,500,16,800,282,338,502,932,800,994,806,282,303,722,649,502,649,912,800,503,502,649,503,107,503,282,282,552,504,500,500,649,501,880,800,800,500,500,503,500,503,503,822,501,800,649,502,282,502,500,800,800,503,282,503,502,107,426,800,649,800,501,649,500,649,500,503,501,502,649,500,649,649,503,503,502,282,69,862,16,649,503,649,502,649,500,649,629,800,500,649,500,507,502,344,800,500,502,16,501,800,500,833,219,500,502,103,649,800,16,649,503,649,501,649,501,16,500,825,503,649,15,501,503,500,649,800,800,800,649,646,253,800,205,500,502,503,649,501,502,503,503,502,503,502,649,649,502,800,501,800,945,649,800,113,501,282,800,649,649,649,502,282,500,447,503,501,800,500,501,500,500,503,800,800,16,418,976,503,501,649,500,501,800,502,501,500,649,501,800,501,502,282,649,504,500,800,502,503,500,282,502,649,800,504,561,501,800,800,503,501,503,649,500,503,163,500,500,501,598,502,502,282,761,501,502,282,814,501,649,500,501,649,500,500,816,502,282,500,208,503,503,649,800,501,503,649,800,500,649,649,16,502,800,282,282,503,501,16,681,501,501,800,596,502,500,502,500,500,800,503,503,503,800,501,500,503,649,800,503,501,800,800,282,501,501,800,16,504,500,282,282,502,504,504,800,649,502,800,800,649,500,500,501,502,500,503,107,800,501,502,153,782,282,500,282,800,16,649,282,502,649,800,800,649,500,282,800,500,502,800,502,503,503,502,500,800,800,502,877,501,500,502,649,649,503,503,749,491,710,800,815,501,501,502,649,502,544,918,16,282,501,503,282,780,800,877,501,103,503,649,501,501,800,501,502,500,649,500,649,834,500,502,800,282,554,502,501,649,649,800,282,501,500,282,277,501,501,501,503,649,649,282,503,662,800,502,282,503,501,63,501,567,501,137,503,878,282,846,800,649,421,282,500,800,500,633,897,504,500,500,191,502,503,500,649,501,501,16,500,618,502,187,649,501,504,503,501,800,565,503,500,502,503,282,503,800,47,649,103,503,502,940,501,585,800,665,500,503,649,800,502,649,16,503,649,503,500,800,649,943,601,282,500,501,649,282,800,504,437,501,800,649,649,500,47,501,501,503,967,800,503,500,800,502,503,800,800,800,503,800,800,649,800,800,503,800,516,282,502,502,649,649,587,501,800,649,503,16,649,282,501,800,503,31,649,107,649,500,501,500,503,501,649,282,503,649,16,705,502,501,282,501,649,500,502,16,501,503,500,802,503,502,649,503,800,649,503,501,500,504,500,504,503,745,282,800,107,501,103,16,502,504,16,502,649,503,800,84,800,500,800,501,501,502,282,503,501,501,800,649,500,800,282,501,500,500,16,107,800,377,962,800,649,649,649,500,649,649,761,501,16,502,649,501,502,282,800,593,502,503,800,800,649,501,800,649,800,500,649,501,649,503,282,502,282,448,282,800,16,39,501,503,282,16,500,500,502,503,501,560,502,61,649,649,503,500,282,503,501,649,282,502,800,800,502,503,192,500,503,16,800,271,16,649,288,500,501,502,502,502,800,800,649,574,25,282,501,800,501,500,649,649,503,504,282,500,649,501,502,503,800,502,500,501,501,282,282,282,503,282,500,503,649,680,502,819,501,501,500,800,500,502,246,800,503,800,502,501,500,500,800,700,502,604,800,503,500,282,503,800,649,500,800,107,649,16,502,800,800,503,502,503,282,502,800,500,800,502,254,503,422,282,668,502,502,501,502,360,503,282,502,375,500,501,800,282,687,503,502,16,649,500,500,503,500,282,500,502,649,501,501,502,500,503,410,501,800,103,282,501,500,501,649,103,45,51,800,502,500,800,649,800,500,501,649,503,800,502,16,649,649,501,800,502,776,729,502,221,500,800,500,503,501,649,501,476,116,504,282,502,502,592,502,16,800,500,3,16,501,258,502,800,501,649,503,800,503,501,892,16,800,538,282,800,467,501,500,202,964,496,500,649,800,501,502,649,800,800,502,940,502,649,503,919,800,232,282,502,800,502,503,502,616,731,649,502,503,800,16,501,103,800,500,503,800,500,800,282,501,501,649,503,282,727,643,220,951,501,501,800,501,501,284,649,500,765,800,503,500,800,800,500,525,501,501,500,649,452,649,501,800,502,497,282,500,829,502,282,501,500,649,502,649,282,500,503,882,500,501,500,500,649,501,500,502,513,502,503,501,288,502,649,502,502,800,503,800,502,101,649,502,800,11,500,649,501,503,503,800,503,282,503,649,500,501,501,649,282,893,649,349,503,282,800,501,802,501,815,501,649,503,16,800,501,649,500,800,282,503,282,502,501,502,503,800,282,502,500,502,800,800,26,501,500,421,16,539,502,649,800,649,800,703,56,500,433,282,501,282,800,502,502,282,649,501,282,500,649,501,800,649,502,928,500,500,635,649,503,800,800,503,501,501,501,502,170,501,649,501,282,649,503,500,282,414,500,16,781,523,882,502,147,800,16,800,500,503,282,503,502,501,501,503,800,502,503,503,503,420,503,202,503,503,501,668,502,501,16,726,441,502,236,500,500,501,282,501,800,502,503,501,500,800,500,934,514,503,501,502,503,503,504,500,503,282,649,141,500,246,501,503,502,282,282,649,800,730,501,649,282,618,503,649,502,500,649,705,503,500,649,503,501,500,384,502,649,502,502,800,501,504,800,649,649,501,500,16,649,501,500,576,502,107,501,800,282,282,282,107,16,500,16,500,504,501,282,503,800,502,412,503,16,503,16,500,502,535,282,800,500,503,500,282,649,800,500,702,503,649,948,501,649,230,501,649,503,502,282,503,863,503,649,503,502,503,800,502,649,967,501,500,501,503,501,503,282,800,502,649,649,502,72,303,502,500,356,500,800,282,501,87,282,502,260,503,500,503,800,503,503,800,503,502,503,503,501,800,649,502,649,800,649,502,502,734,649,814,500,500,504,107,731,503,502,500,800,502,800,554,500,501,502,504,501,500,962,502,500,800,649,503,500,649,500,800,192,501,500,502,800,800,800,502,800,502,649,500,501,800,282,601,500,501,503,500,800,282,503,501,649,503,800,501,501,16,500,649,501,800,504,503,503,501,649,800,887,502,502,282,501,800,442,800,800,649,626,649,800,649,282,501,500,500,649,649,466,501,282,502,502,800,500,501,503,282,800,282,649,504,503,649,649,501,501,503,500,16,800,614,649,502,649,78,800,649,503,502,800,503,301,800,800,503,590,674,503,926,800,500,649,800,871,500,282,501,649,503,649,500,649,503,649,502,800,649,649,502,282,501,800,397,502,800,16,649,626,503,649,177,500,503,841,500,649,501,580,628,800,503,649,502,501,649,503,503,501,944,500,500,500,504,649,502,800,103,119,503,272,503,501,649,849,800,501,502,754,501,500,500,501,500,500,434,649,282,800,16,16,800,84,500,503,800,500,312,800,500,502,500,501,503,502,800,500,649,800,282,649,649,501,800,502,500,649,501,500,500,800,502,948,800,503,83,16,649,500,800,446,502,500,503,649,715,500,503,800,800,503,800,503,800,649,649,503,503,500,282,800,649,620,503,502,501,501,282,800,502,503,502,649,500,500,502,504,502,282,500,16,500,16,800,800,800,282,502,16,503,504,501,16,504,503,502,501,538,501,649,618,800,500,313,384,878,800,503,282,16,16,800,502,500,502,500,35,800,800,501,502,502,502,800,503,503,504,500,504,502,297,501,503,649,282,76,62,800,800,500,501,282,927,500,793,800,503,502,500,646,500,649,649,502,501,502,500,800,501,218,649,800,649,800,649,502,501,325,16,503,503,649,500,501,649,501,206,539,501,649,800,503,503,501,649,501,649,502,503,649,800,16,503,678,501,800,500,502,681,502,502,800,500,500,452,502,649,649,500,800,649,501,500,589,504,501,800,649,503,501,649,500,649,800,649,501,865,947,501,503,282,500,503,649,501,282,643,800,988,201,473,502,649,500,800,800,800,800,649,502,500,501,649,528,501,746,501,440,503,27,500,501,282,282,952,649,395,446,800,851,800,501,667,800,501,503,500,800,503,649,503,282,503,500,501,800,503,502,502,504,502,501,649,502,501,649,160,800,908,500,987,705,124,649,282,502,502,800,848,649,649,502,502,800,16,357,503,500,502,328,800,649,649,43,282,649,800,503,501,503,649,800,403,503,649,649,501,300,326,649,16,501,502,800,503,502,720,503,107,992,282,800,800,282,649,649,500,500,649,649,649,501,649,800,800,649,500,500,482,20,502,502,503,503,502,145,147,649,800,282,501,501,800,800,870,16,554,800,16,502,501,502,502,504,649,79,800,649,503,649,503,960,501,500,649,502,500,191,714,500,649,870,282,16,500,501,503,649,502,502,502,502,500,163,649,366,502,800,145,800,649,282,800,500,649,800,417,503,502,282,800,800,503,282,502,502,800,649,500,502,649,800,503,500,649,502,502,501,500,500,649,250,649,800,503,800,500,282,502,500,327,501,649,501,501,107,282,501,503,502,501,282,501,649,16,572,282,649,241,502,800,501,502,500,800,503,16,16,502,649,500,500,800,649,503,500,16,501,501,502,224,649,649,16,502,16,31,649,282,501,501,800,800,2,503,800,800,500,500,501,282,502,800,800,282,502,502,503,649,282,502,500,502,800,501,502,501,500,503,540,984,502,501,649,31,649,501,282,502,44,502,246,503,649,38,503,502,500,16,282,989,500,860,503,447,649,502,500,367,502,800,501,501,502,502,649,501,649,800,502,875,501,503,504,282,649,503,282,800,501,800,502,503,503,504,503,800,800,282,649,649,501,649,500,504,500,502,502,183,500,282,282,503,503,501,503,502,500,800,502,503,800,502,282,649,501,500,156,503,800,503,800,649,503,392,282,282,282,741,501,502,649,800,800,502,800,500,500,649,502,649,496,502,282,503,649,282,724,501,500,503,503,649,649,503,500,502,502,282,500,501,500,502,282,649,502,282,502,800,500,503,501,800,649,800,500,282,800,502,226,800,800,501,500,504,501,500,649,75,16,16,282,502,502,800,649,848,502,500,502,503,800,786,800,501,503,800,649,800,281,500,501,504,649,501,698,501,503,282,504,503,800,800,800,503,649,502,16,800,50,800,502,501,502,381,502,800,800,800,502,282,679,800,800,16,800,500,503,502,502,800,502,504,502,503,503,540,502,800,500,461,503,797,31,282,503,501,649,16,649,887,649,501,502,501,500,501,919,103,902,500,800,282,503,503,649,502,503,500,649,282,503,501,503,502,502,502,228,149,649,503,502,501,800,800,502,501,800,501,800,502,501,503,500,500,282,52,502,503,649,501,502,502,501,282,501,501,503,502,503,282,501,649,502,800,649,800,501,140,800,649,649,16,502,503,502,502,503,503,800,501,501,504,649,711,800,503,500,500,800,649,856,649,649,282,649,649,282,800,502,503,649,503,800,649,649,16,800,500,649,502,500,800,503,103,503,501,502,800,502,800,368,632,282,232,501,503,503,913,338,501,649,500,500,500,503,800,800,282,800,649,649,107,444,282,282,502,206,403,606,566,503,814,649,649,800,502,500,503,502,502,800,500,292,282,800,502,497,501,800,16,502,107,503,501,800,503,232,800,282,282,800,429,500,501,256,501,649,649,198,800,503,952,500,800,501,282,349,501,503,800,501,800,504,503,501,502,649,282,729,47,649,502,960,282,500,500,941,649,800,502,500,503,500,502,502,649,800,800,503,939,501,500,649,800,282,500,282,800,649,16,800,800,16,16,649,500,503,500,800,501,502,173,504,502,282,501,282,500,649,503,501,649,800,502,893,649,800,502,502,291,501,503,502,501,282,109,800,649,502,500,800,608,501,649,502,867,503,500,419,502,502,282,36,502,502,501,502,800,282,501,451,649,720,649,282,103,800,503,649,16,502,501,282,501,649,502,107,502,504,502,800,500,500,800,501,282,517,649,500,649,503,503,503,800,500,503,501,501,649,503,230,800,500,500,503,502,500,649,800,502,500,124,107,500,500,800,503,500,800,501,800,531,800,649,501,649,282,649,503,16,500,649,502,282,501,502,502,500,726,649,503,396,649,502,504,500,103,501,501,282,503,500,800,502,503,307,649,502,649,502,800,649,800,649,503,500,500,649,649,649,502,502,107,420,503,800,282,650,173,501,800,501,503,800,501,16,503,503,501,649,639,503,649,800,16,503,503,502,502,501,502,649,282,502,502,501,502,502,16,503,649,649,500,282,504,950,649,800,800,141,501,502,800,503,500,800,649,502,282,502,643,970,503,649,501,800,649,500,100,649,501,501,282,501,800,501,503,504,800,500,504,649,282,500,502,502,800,649,503,577,502,154,649,649,503,503,501,649,500,500,649,444,649,800,501,502,501,502,282,504,502,351,415,822,502,502,649,800,635,503,500,282,500,501,202,282,100,501,16,800,501,503,510,503,263,501,185,501,502,500,500,829,800,500,800,503,103,649,16,731,494,649,502,532,675,282,502,502,282,503,503,649,502,500,503,501,649,241,502,800,501,800,772,502,107,503,500,500,502,502,500,503,500,800,501,800,16,502,577,501,800,800,326,500,501,959,16,649,500,649,107,649,282,502,503,800,448,76,503,236,935,502,504,758,282,282,502,501,503,500,501,800,800,503,501,107,649,649,501,800,649,504,649,328,282,503,48,501,501,501,559,501,649,503,649,503,649,282,500,500,502,501,502,705,800,148,649,409,800,649,503,503,502,500,500,502,649,542,16,501,800,501,500,503,501,503,800,500,502,282,504,502,500,500,88,800,864,800,598,649,503,503,800,649,287,500,800,282,503,649,503,32,16,501,282,503,500,649,500,502,107,282,649,503,984,503,503,500,800,501,502,500,502,504,502,503,649,800,502,501,800,607,501,502,502,649,503,282,282,502,501,722,502,500,649,501,800,501,649,800,649,16,503,502,502,501,501,503,649,282,503,55,502,500,503,649,800,800,501,16,502,500,649,649,503,874,649,500,835,649,503,502,501,839,502,649,16,649,500,501,16,500,649,503,127,649,16,501,500,638,958,282,503,504,503,107,502,502,501,501,238,649,282,902,282,689,282,800,649,649,649,649,500,501,661,649,503,503,501,800,501,649,502,649,503,503,800,500,501,800,282,187,503,649,504,649,503,502,502,800,502,649,527,503,503,800,282,113,357,282,503,503,500,502,501,501,503,16,649,358,649,500,649,416,282,500,800,500,649,633,800,800,649,501,501,685,503,282,502,501,800,503,503,500,501,649,524,503,500,16,500,184,343,503,800,501,502,16,107,800,282,800,503,800,503,502,501,987,503,800,500,800,649,501,500,501,60,800,177,61,649,428,502,800,500,502,504,501,800,504,503,649,16,800,233,500,282,503,649,502,501,500,649,6,629,501,800,500,501,173,16,282,500,25,500,502,16,282,800,800,502,502,800,501,282,503,578,108,503,502,800,503,742,501,501,501,16,649,501,649,503,103,800,649,482,501,502,282,503,800,503,282,649,282,670,497,800,264,500,649,778,500,649,800,649,501,500,501,500,649,503,649,503,502,500,500,800,500,502,649,200,800,502,282,649,500,282,503,501,16,213,501,500,501,503,503,800,806,501,800,503,649,834,500,800,502,500,503,500,503,502,502,282,502,800,431,503,501,502,500,800,501,800,649,227,649,500,500,504,125,502,501,800,621,770,800,800,500,502,503,502,594,278,502,501,500,503,502,800,502,649,649,502,800,502,282,502,500,82,16,501,649,800,504,502,649,649,800,500,581,807,282,503,523,16,280,649,503,800,503,503,517,800,649,800,16,649,504,501,282,502,501,503,745,282,502,800,502,103,282,503,861,502,501,816,500,649,558,151,649,501,503,514,503,500,282,502,800,501,649,502,503,649,502,649,282,800,502,84,502,336,503,500,739,501,502,502,503,291,500,800,503,800,500,502,649,500,649,282,503,649,800,500,475,502,501,735,500,282,503,800,649,503,282,649,282,502,502,649,147,649,501,66,800,800,800,800,500,501,800,503,503,501,501,501,501,500,649,800,649,649,503,501,502,502,953,503,282,503,500,501,501,649,800,649,501,502,64,503,502,649,501,800,503,500,500,649,649,282,502,500,500,649,649,649,503,502,500,649,503,501,649,503,501,504,800,800,502,800,378,887,282,800,502,502,282,800,622,503,991,503,503,503,501,282,800,340,502,649,501,501,503,503,800,500,501,800,500,482,800,500,501,753,503,501,500,649,501,502,800,502,649,503,501,649,501,282,501,649,800,501,282,503,649,500,500,649,549,649,501,500,500,255,800,649,502,282,501,800,501,500,107,502,503,503,503,502,501,502,503,649,501,500,649,800,448,649,501,800,733,500,649,111,649,800,503,800,193,503,503,503,649,649,502,503,282,282,500,502,649,323,503,649,503,800,714,501,800,501,282,503,649,575,500,649,649,504,800,503,501,800,282,649,501,151,282,502,503,501,282,502,107,620,63,504,520,502,649,800,259,503,503,500,649,500,800,502,500,503,649,282,9,649,649,800,649,282,800,502,800,16,800,649,282,502,800,503,16,500,189,502,501,299,501,649,502,503,924,800,274,649,502,503,502,649,800,435,800,503,800,503,587,504,800,501,711,500,16,501,500,502,503,800,303,282,503,502,500,16,649,206,501,500,800,501,500,501,800,895,500,32,503,500,649,502,624,500,32,502,649,502,502,501,649,502,800,502,789,502,501,502,503,502,500,501,649,800,107,649,500,502,800,500,255,800,501,502,800,800,800,503,501,1,503,503,653,501,503,501,282,502,503,649,504,649,500,678,503,763,649,328,282,503,500,800,649,702,649,503,649,16,282,800,502,501,501,500,501,501,504,504,768,501,649,502,503,502,649,502,501,705,800,16,800,16,282,649,800,649,500,273,501,863,501,800,649,196,690,502,51,320,503,282,800,649,500,800,649,503,24,649,649,805,608,649,800,502,503,649,649,502,800,503,39,502,500,649,503,98,649,503,502,502,501,422,749,649,503,500,502,242,392,649,500,501,503,503,800,649,502,810,503,800,282,502,504,500,503,502,649,502,503,282,800,800,500,649,503,502,649,282,649,500,502,800,501,800,800,282,502,649,800,16,16,999,800,800,502,502,501,800,501,502,502,800,504,107,282,500,501,502,649,755,501,282,282,16,800,501,500,649,500,800,649,501,16,501,500,107,468,500,503,503,503,503,501,501,503,501,649,500,500,649,503,500,500,500,500,800,649,649,282,500,649,800,502,503,915,118,800,500,7,282,649,649,282,800,503,502,897,501,649,800,500,418,501,282,701,800,800,16,282,502,649,501,502,503,503,500,501,538,502,800,649,649,800,502,503,502,503,501,649,409,16,16,503,501,500,577,500,800,282,501,503,649,500,501,501,501,503,800,282,502,800,900,649,800,800,503,649,649,759,502,501,502,282,500,501,800,800,800,500,500,503,501,800,800,800,504,800,500,282,468,502,649,503,502,282,501,503,503,649,649,282,502,191,502,503,503,503,504,849,501,800,504,503,939,649,500,502,282,503,502,970,859,262,501,502,706,502,501,501,181,503,107,501,500,504,757,503,502,942,500,282,649,16,800,427,391,503,107,501,500,649,502,501,922,345,705,591,500,502,649,282,649,501,649,503,649,800,500,500,107,503,501,649,503,502,800,649,503,503,649,16,500,500,501,649,503,282,800,500,209,260,800,151,649,800,500,503,108,800,502,500,273,502,501,282,800,503,985,501,282,500,649,282,502,504,503,503,792,282,800,103,504,800,500,501,500,696,503,501,503,500,504,502,503,999,649,800,611,500,795,500,502,282,503,705,800,649,800,503,501,500,800,500,502,501,500,649,649,500,503,500,800,282,699,500,800,500,800,500,503,668,500,800,97,501,500,800,500,500,502,800,501,107,649,502,502,502,501,376,16,649,503,502,282,502,501,800,800,500,502,649,503,502,502,67,163,800,649,502,502,282,800,501,501,502,800,16,282,502,16,16,282,501,500,501,649,503,504,800,502,501,502,502,800,501,311,501,649,800,501,649,501,500,424,502,502,503,371,649,649,800,500,502,503,631,792,800,649,502,637,503,649,502,800,282,865,501,705,503,500,503,500,16,649,503,500,800,502,503,500,500,282,649,351,503,501,500,800,282,500,800,501,649,282,485,282,282,16,500,501,500,800,468,501,162,503,501,551,452,501,282,800,649,503,282,800,503,501,649,649,800,500,502,282,820,649,501,800,500,649,501,503,500,648,800,500,649,501,503,500,503,16,649,867,501,502,503,503,501,500,502,482,649,501,800,800,500,351,500,649,649,500,649,500,880,800,502,502,800,649,502,503,502,503,503,500,658,800,649,501,501,966,500,501,107,502,282,503,501,501,705,501,501,646,16,501,500,800,649,372,500,502,800,503,503,282,503,502,649,502,282,500,503,800,37,502,800,502,502,800,683,800,649,501,502,611,16,500,503,502,501,16,800,800,500,503,502,800,503,282,800,501,811,649,503,501,16,976,649,282,800,282,503,503,649,500,649,16,503,649,501,800,815,282,503,107,500,78,501,503,503,800,16,800,500,501,282,503,503,649,107,503,107,501,800,501,282,16,649,800,503,503,503,799,800,649,501,500,807,649,501,800,16,502,501,504,503,502,282,501,649,503,500,807,502,503,502,649,502,500,501,500,500,800,800,501,470,501,734,500,503,14,501,165,504,503,649,501,501,649,501,649,502,649,500,503,500,649,500,800,282,502,800,501,345,800,705,501,282,503,16,4,107,800,500,649,501,502,500,800,504,282,501,800,397,502,501,800,502,303,649,744,649,531,649,16,502,374,501,800,800,500,282,800,500,501,503,501,500,503,502,500,500,649,504,502,500,535,502,663,800,649,16,342,502,500,848,649,502,500,649,397,500,503,649,16,767,500,502,16,501,800,649,16,282,502,500,503,282,649,282,649,16,107,103,649,501,502,501,502,503,501,649,16,503,502,800,800,503,649,16,501,800,282,578,103,800,503,502,503,500,502,649,504,501,500,500,16,800,649,800,800,282,800,500,504,503,500,503,500,502,502,282,800,500,500,501,312,272,501,504,278,501,503,649,501,800,649,688,843,503,500,503,501,502,500,501,503,199,501,501,649,800,800,649,649,501,502,502,500,500,649,16,500,501,800,502,390,501,501,501,800,501,800,282,16,649,503,800,649,503,699,500,439,503,501,502,504,500,282,800,502,649,800,649,800,800,500,502,503,800,500,649,282,800,501,800,800,16,649,502,282,976,800,800,501,649,800,649,282,800,504,502,502,649,500,503,800,649,501,504,502,503,501,503,501,16,503,282,500,502,501,649,503,800,501,503,503,501,500,800,502,502,501,502,501,500,282,649,500,502,443,501,282,282,800,16,501,500,800,800,502,649,340,518,649,500,501,282,500,103,502,106,16,500,282,282,649,236,649,503,503,800,800,500,500,800,500,864,503,500,500,800,649,503,649,501,282,500,500,649,649,503,504,502,502,502,502,807,800,501,282,500,500,503,800,501,502,800,502,504,282,501,503,501,500,503,501,500,649,501,503,501,16,502,379,502,282,503,502,649,800,800,649,501,800,649,649,649,16,649,140,649,500,501,503,503,500,500,502,800,649,100,500,501,502,649,16,290,500,296,925,16,503,759,502,649,800,502,800,501,503,503,800,800,500,502,501,800,800,649,282,16,503,500,800,502,502,502,502,503,955,500,936,500,501,537,546,500,501,502,500,649,500,502,933,503,503,501,649,800,501,917,16,502,502,9,107,501,500,503,501,500,502,500,502,500,503,503,501,649,503,502,800,649,503,502,500,649,503,927,503,502,500,16,500,503,500,800,503,504,649,649,500,502,500,500,502,282,500,16,392,800,800,800,503,800,500,501,282,503,649,503,502,502,503,501,503,500,501,800,649,282,500,72,649,649,503,500,282,711,800,649,649,503,503,500,503,649,134,502,501,800,502,503,649,16,800,500,822,649,500,649,502,500,501,500,876,503,986,16,16,800,800,501,817,984,800,503,282,500,800,503,649,800,649,501,500,503,502,649,501,501,583,501,282,503,800,502,501,501,282,503,503,282,504,500,500,649,800,887,500,640,500,649,503,649,282,503,800,501,501,502,800,503,342,649,501,500,102,500,501,649,500,503,649,800,914,649,107,500,924,705,502,107,16,501,501,367,502,501,649,502,123,504,504,504,800,282,502,649,107,16,503,649,501,503,501,500,800,502,397,500,502,702,282,649,800,501,501,504,500,504,649,800,649,503,617,282,800,502,91,503,800,131,503,503,649,649,502,501,800,800,800,649,501,502,503,113,502,649,500,500,501,16,613,501,649,503,649,800,649,501,501,503,154,500,161,649,282,649,800,800,500,912,502,103,501,502,500,649,503,800,282,501,807,649,500,800,502,649,604,657,503,502,502,501,282,800,313,800,503,503,607,500,503,649,649,800,649,800,503,500,501,501,503,500,503,157,500,282,500,800,503,210,503,800,501,649,500,910,649,282,500,500,500,282,502,501,503,282,501,649,649,503,502,502,501,502,649,983,16,624,502,502,502,501,503,502,502,382,649,501,800,501,800,502,172,500,800,649,502,500,649,800,649,500,194,649,649,800,649,995,16,649,503,228,501,649,800,107,16,387,800,21,500,503,502,502,282,800,649,500,501,976,282,282,548,178,800,500,502,502,501,503,503,989,503,500,649,16,500,459,631,800,800,800,502,649,175,282,800,649,502,501,503,649,649,500,501,800,649,845,503,170,502,16,282,503,473,500,503,586,500,502,502,502,414,16,503,800,503,500,500,649,500,800,502,800,451,649,797,502,108,800,501,649,501,649,502,16,503,649,500,269,800,88,501,501,282,503,502,502,649,502,800,591,800,800,800,649,649,16,502,500,503,501,501,503,502,803,282,649,503,649,800,649,16,649,649,649,501,649,649,800,649,282,800,500,800,501,282,56,800,501,503,800,282,754,502,649,500,930,501,800,800,500,500,501,500,282,502,500,502,503,502,16,800,16,800,501,649,800,503,502,649,500,478,642,800,800,649,500,501,501,501,500,649,502,501,800,502,649,800,282,800,500,865,656,503,16,501,501,800,282,501,150,800,800,649,501,503,501,501,282,500,649,292,502,502,503,503,800,503,649,800,649,502,500,187,922,647,501,501,502,181,504,649,501,502,103,800,570,649,502,800,501,649,502,500,500,119,503,800,500,88,759,800,502,886,800,502,503,503,503,649,502,649,238,500,800,649,503,282,800,282,501,504,501,649,501,800,649,649,649,148,800,504,282,501,500,503,500,504,503,501,282,800,502,500,502,501,649,502,649,844,282,649,502,110,501,504,500,500,159,728,501,282,503,800,800,38,501,800,502,800,500,21,649,503,107,500,726,800,649,858,800,800,282,16,282,800,282,649,501,649,800,501,5,996,649,500,502,501,800,504,800,501,649,501,92,501,649,282,800,552,282,500,502,800,502,500,282,282,800,787,503,501,504,503,21,501,501,649,501,800,500,16,504,502,282,502,500,282,800,649,649,398,16,800,503,285,503,503,16,800,756,756,500,16,501,503,800,501,503,503,16,503,574,649,946,800,500,649,649,501,500,501,502,500,649,16,501,500,800,649,500,501,800,501,82,500,649,649,800,502,501,800,143,501,500,107,503,503,503,707,649,502,800,800,503,649,502,500,502,800,800,282,500,649,501,649,942,649,282,502,16,649,800,500,649,500,502,800,67,500,487,503,503,649,500,800,591,502,502,800,503,502,762,503,503,501,800,282,502,800,502,500,649,503,503,282,503,501,501,503,500,502,800,503,800,500,500,800,502,800,502,501,503,503,187,501,649,342,282,455,504,504,500,501,500,500,502,503,282,16,503,649,649,282,500,800,282,502,649,501,500,107,16,649,503,615,282,503,737,500,503,501,649,504,503,649,800,500,500,502,502,501,649,16,503,500,500,503,502,501,649,21,502,649,800,16,649,821,501,500,501,116,649,800,649,282,137,766,500,107,503,647,503,500,649,501,649,800,811,501,649,501,502,501,649,649,649,502,900,503,502,502,503,501,800,649,502,973,649,868,502,502,503,649,649,500,800,502,152,500,649,500,503,500,503,344,503,500,958,502,500,754,649,501,501,649,502,500,800,503,500,649,500,306,800,800,500,503,503,501,714,503,503,500,500,649,502,800,501,500,500,500,502,16,649,503,953,604,503,503,800,649,504,502,502,503,501,649,500,503,604,503,800,503,501,501,503,649,800,504,673,500,500,502,504,368,500,282,586,680,16,501,649,908,705,649,501,500,16,501,947,16,258,649,501,504,16,701,107,501,800,800,500,649,501,464,649,501,16,282,649,649,705,503,503,282,16,883,753,282,502,500,500,500,500,649,503,271,502,500,800,500,649,107,282,501,800,800,649,502,282,16,501,775,800,503,282,649,649,503,500,500,800,16,649,800,16,501,502,502,502,282,503,491,502,800,503,649,649,504,427,500,229,500,502,282,244,800,500,649,649,502,282,800,500,500,502,503,501,501,282,328,500,503,649,800,503,649,500,501,502,504,649,282,649,815,835,502,503,502,577,502,503,501,500,503,649,503,501,649,502,282,500,649,649,800,800,199,501,282,502,800,800,501,649,502,849,800,503,503,282,502,500,800,501,649,501,16,502,16,800,800,649,282,800,500,626,649,282,500,16,500,800,502,649,649,800,503,16,737,500,800,501,500,500,503,500,502,502,500,503,649,500,282,501,16,728,16,500,501,503,503,503,649,800,501,286,502,282,800,501,502,500,377,800,649,503,800,649,502,808,800,501,500,503,800,800,500,260,649,502,800,649,501,461,502,503,503,502,361,800,502,502,502,503,649,282,502,649,800,503,502,502,18,649,503,501,649,503,502,500,500,800,800,502,501,107,502,502,501,649,503,502,502,649,649,500,800,800,503,107,282,502,502,500,649,649,557,503,502,503,500,503,500,503,282,503,818,501,500,502,800,16,500,654,800,282,800,282,282,800,649,500,503,501,503,500,503,800,649,800,891,649,500,8,16,502,503,45,502,503,502,502,800,502,543,500,649,932,779,501,502,800,503,501,993,502,501,500,103,500,503,16,503,800,503,502,800,779,649,503,503,502,282,649,503,500,649,16,501,476,649,282,503,501,501,501,753,649,502,23,649,772,502,500,503,504,500,800,12,282,502,38,500,312,282,501,502,502,503,501,800,500,282,565,282,503,649,800,16,282,100,502,501,16,800,800,16,501,107,649,49,501,25,649,151,502,649,501,800,934,951,800,623,501,501,56,649,800,282,572,649,500,502,885,503,501,501,649,649,800,503,800,282,586,649,502,649,500,22,502,143,503,502,401,282,501,502,800,500,16,16,649,502,649,800,501,502,503,649,502,282,649,503,800,800,738,649,501,10,649,455,501,649,770,502,502,16,800,501,282,800,16,16,800,160,502,881,502,503,282,800,103,500,649,503,502,501,800,503,800,501,800,502,501,107,503,649,464,502,649,500,103,500,503,282,500,352,502,649,800,500,16,500,282,542,501,649,649,503,504,503,197,649,282,501,282,16,901,800,501,800,500,282,282,503,501,800,500,800,282,800,503,239,800,800,500,501,800,503,649,878,282,500,500,800,502,500,501,503,649,378,481,501,649,501,16,502,500,503,500,503,747,500,502,502,649,649,501,800,122,504,500,649,439,649,502,16,502,501,501,289,500,504,502,478,500,800,800,649,26,501,500,502,502,502,503,800,501,282,800,16,649,179,502,435,486,282,800,501,501,504,502,282,16,501,501,800,502,501,103,500,800,501,501,503,646,502,449,649,807,800,501,800,501,500,649,503,502,501,501,502,649,502,649,282,158,649,503,282,501,503,502,502,649,800,503,503,501,503,800,16,502,501,503,501,501,502,282,503,649,800,14,504,503,800,503,502,649,503,500,720,502,500,500,503,649,201,504,502,16,501,500,500,800,800,282,587,649,503,649,800,504,649,705,502,502,649,832,500,504,500,502,500,503,502,501,502,503,800,500,503,501,800,282,503,500,502,503,503,800,500,206,16,649,503,649,502,502,649,502,502,501,501,503,649,800,649,502,503,503,501,502,502,503,501,649,500,385,500,16,862,503,850,282,649,800,539,118,649,503,502,502,800,649,500,649,800,282,16,502,800,649,500,649,500,649,501,649,504,675,649,503,16,503,501,676,503,800,842,502,800,503,649,501,800,500,500,282,503,800,856,503,800,649,503,503,649,503,282,606,502,423,503,500,500,204,649,649,503,800,501,824,12,800,502,501,800,500,905,964,500,501,501,501,500,502,501,502,502,500,649,501,500,317,501,649,503,500,649,410,490,502,503,501,800,503,500,649,501,649,800,800,501,501,757,649,503,500,501,649,282,103,502,502,282,500,503,16,503,503,928,393,282,325,501,500,501,500,594,800,649,800,61,501,503,800,500,501,800,502,502,164,502,83,502,426,16,587,476,502,649,649,500,800,649,282,649,366,500,282,800,500,231,387,501,800,501,800,503,502,502,800,500,800,502,282,74,500,502,500,918,649,503,282,107,500,649,503,800,282,500,282,500,500,900,800,649,503,502,649,649,649,500,649,649,500,500,16,501,501,800,997,501,501,922,651,501,502,500,649,881,503,501,800,649,649,649,500,649,501,800,501,800,501,500,649,16,501,503,649,800,282,282,500,282,800,932,503,800,800,500,16,503,502,500,503,503,16,502,796,800,502,503,282,466,503,500,502,504,800,502,502,800,502,649,800,503,16,500,504,501,502,501,800,502,282,502,503,16,500,503,9,503,649,501,501,420,152,649,502,800,503,282,649,16,501,501,800,800,500,503,520,606,503,282,501,282,503,501,800,502,503,649,503,792,500,501,501,16,501,800,371,501,500,649,501,503,502,500,282,16,500,502,598,282,503,225,800,500,282,504,502,649,649,9,282,649,800,666,501,502,800,500,502,503,282,501,282,649,649,649,500,501,382,503,649,800,649,503,800,952,502,249,305,648,649,502,103,378,649,282,654,107,501,649,501,16,800,649,503,810,800,502,785,500,282,404,501,503,282,800,501,800,503,231,500,501,503,501,502,503,10,649,501,500,649,504,282,500,935,503,800,649,500,800,502,502,502,502,503,649,503,501,500,649,282,946,649,649,503,503,500,487,800,501,160,649,649,502,501,500,16,800,500,501,649,107,375,16,800,503,983,503,21,800,500,500,800,503,501,800,649,500,501,500,282,501,282,649,649,282,504,501,800,501,800,649,501,663,16,500,503,649,107,500,503,535,903,800,503,503,649,649,800,501,649,502,649,387,503,503,502,1,800,500,282,214,800,500,800,502,503,501,649,501,503,649,502,649,502,103,649,649,503,501,501,502,502,282,501,649,800,502,800,800,500,518,800,501,16,500,800,906,800,282,800,502,501,649,649,502,502,649,800,503,16,819,107,800,500,777,649,368,503,649,950,503,800,16,500,415,502,800,800,503,649,988,500,503,649,800,714,502,503,503,503,800,501,242,467,502,502,500,502,649,798,500,500,501,500,502,501,282,502,705,501,713,800,800,501,501,800,16,503,502,500,502,502,500,184,72,500,500,502,800,16,501,502,800,502,500,771,800,107,501,503,107,500,114,500,800,649,800,800,649,800,800,282,198,502,649,503,501,800,649,649,800,501,398,501,800,800,502,501,282,503,500,501,649,500,503,800,649,800,502,501,502,800,502,502,500,940,800,503,500,800,502,649,501,501,501,282,649,503,649,16,649,502,780,501,503,500,282,501,500,68,502,503,501,649,191,503,502,282,501,958,502,501,503,800,502,496,800,502,482,107,500,501,500,503,649,503,502,737,226,500,500,501,489,503,502,503,502,800,500,933,501,649,504,649,502,502,500,503,479,552,800,800,772,800,502,500,500,503,649,559,502,502,649,501,282,503,966,107,501,501,502,502,649,800,800,155,501,503,103,800,503,500,649,800,503,282,107,622,503,500,16,800,501,453,800,503,800,800,502,501,649,282,500,564,500,500,282,504,649,614,282,502,279,649,501,649,756,501,554,501,502,502,503,800,501,501,501,500,103,800,800,502,649,503,501,503,649,503,44,282,45,504,800,501,16,800,503,282,800,282,282,500,800,282,800,282,501,800,649,131,501,649,500,800,500,70,649,502,485,501,104,503,649,500,16,669,649,501,501,502,500,649,501,500,500,500,282,289,649,281,500,800,16,649,747,100,504,16,500,501,503,800,502,649,502,649,649,871,500,501,500,503,282,800,504,739,500,502,502,649,649,282,16,501,34,807,800,502,282,503,800,456,501,501,282,282,135,502,502,800,756,325,500,503,107,502,282,503,502,503,282,502,501,154,500,502,800,649,500,504,503,282,800,800,509,501,502,649,500,500,503,16,500,502,895,867,581,800,502,807,503,501,800,503,649,502,161,502,16,649,800,649,16,944,24,501,503,500,649,503,282,714,380,649,502,547,510,500,282,800,263,800,503,502,501,800,282,951,800,502,209,501,370,107,502,282,500,501,502,500,503,503,502,282,649,800,503,282,649,500,316,18,800,800,800,16,500,800,501,500,649,439,649,800,16,649,800,501,501,500,502,503,16,502,16,478,500,237,240,503,503,500,502,502,282,503,504,500,800,503,800,143,504,649,503,502,502,780,10,649,282,501,502,501,503,649,649,501,800,508,800,560,282,500,16,503,500,501,800,501,800,282,503,649,501,649,16,800,282,615,503,287,124,807,503,501,294,229,922,649,503,649,501,501,500,502,501,503,502,503,501,800,800,501,217,403,504,649,501,445,800,503,757,800,502,800,502,500,649,282,502,502,502,503,649,649,649,501,649,502,503,502,500,501,800,500,501,502,503,504,649,500,500,807,502,503,800,504,501,504,649,893,503,649,502,16,282,360,503,500,800,502,800,503,602,500,501,799,649,16,800,800,350,501,502,504,425,113,282,649,502,282,616,649,282,649,502,502,16,282,500,503,500,800,800,500,500,800,502,649,800,282,503,282,800,502,649,502,500,16,500,800,500,501,374,800,501,649,649,500,282,649,501,800,649,649,502,502,282,649,800,502,500,501,282,104,16,502,500,282,501,504,16,649,500,500,503,501,649,501,501,502,16,47,502,800,500,503,503,649,500,608,282,502,500,501,16,503,503,649,501,649,649,502,16,502,800,16,282,800,282,500,501,800,500,649,503,649,504,896,800,800,501,800,500,502,800,649,500,649,800,649,502,136,500,502,503,950,649,502,16,503,390,649,504,502,800,800,500,800,500,649,800,500,282,748,282,500,800,500,502,503,501,649,500,503,649,649,107,649,503,939,846,503,502,502,800,282,501,800,16,503,502,518,503,500,501,502,501,16,649,264,500,231,800,503,16,800,16,284,500,503,282,800,501,800,800,649,503,503,800,500,503,800,800,502,496,800,500,501,800,501,649,692,800,613,502,500,502,503,800,253,500,501,103,501,800,500,947,502,800,16,806,580,800,501,501,502,16,649,614,649,705,503,500,501,503,502,500,501,502,16,502,501,515,107,500,16,503,501,503,16,500,502,800,501,800,649,501,502,501,100,501,501,501,503,649,282,501,800,636,500,480,649,503,38,501,502,501,500,503,503,282,649,800,503,361,501,649,649,501,800,800,768,649,502,649,503,501,502,16,503,649,502,768,982,501,502,282,500,282,500,501,503,500,502,705,501,500,501,649,174,282,503,282,712,477,465,503,503,282,800,503,504,86,800,501,800,800,344,501,282,504,800,282,107,764,7,500,500,500,501,500,500,501,501,502,500,500,500,800,502,16,649,119,282,800,649,800,649,502,532,649,800,501,800,981,649,503,649,500,800,503,800,501,282,800,800,649,610,501,502,800,501,502,501,800,503,785,282,503,282,800,503,500,649,501,800,501,500,800,567,781,503,800,502,560,501,503,620,387,523,800,503,649,502,16,139,431,800,504,649,500,503,922,502,503,210,649,502,4,500,649,282,503,686,501,501,190,649,503,800,298,649,649,503,649,500,611,649,501,503,800,282,16,501,500,502,503,800,504,503,500,90,819,500,800,649,501,800,781,699,649,504,84,501,16,282,502,649,282,783,800,628,649,503,503,503,500,501,501,503,282,282,502,502,502,502,282,503,501,501,649,500,500,649,503,282,503,699,502,107,504,502,500,282,501,282,500,675,649,501,649,503,502,917,649,649,500,583,641,55,649,503,800,544,502,968,500,502,252,503,501,915,500,503,502,649,282,503,502,500,649,649,501,47,502,503,282,500,501,800,107,501,282,282,501,502,500,501,502,503,503,282,501,502,649,500,800,502,800,501,501,649,501,502,500,558,853,502,503,502,649,500,649,800,282,500,501,16,282,649,501,504,800,502,501,649,500,502,503,800,649,649,282,500,501,103,649,501,501,16,500,500,649,822,503,500,502,501,800,502,500,503,649,501,59,649,500,800,649,500,503,16,501,501,501,502,16,501,503,649,800,800,16,649,500,503,501,501,501,143,502,502,502,501,500,532,282,447,800,800,800,500,966,502,800,282,649,282,649,503,503,502,500,282,500,804,835,500,501,800,501,503,502,282,800,502,503,502,649,649,503,649,800,500,959,649,16,509,500,500,500,502,150,967,649,800,503,431,502,502,503,501,16,16,16,870,502,815,282,16,523,16,502,400,501,800,460,800,16,501,500,502,501,800,282,107,649,103,282,501,282,500,500,503,282,768,501,282,501,858,282,502,500,800,649,800,502,103,800,500,107,501,502,500,501,649,16,800,502,502,503,16,502,103,16,649,503,649,501,500,501,649,501,800,649,502,503,441,503,649,502,503,503,503,500,504,800,504,991,501,800,282,503,500,503,463,503,501,503,500,605,800,500,649,501,128,498,19,501,800,800,16,714,800,800,649,503,800,501,503,503,503,502,800,282,500,502,649,501,282,970,502,800,800,282,649,503,503,503,649,649,503,502,501,800,649,16,16,502,500,504,501,673,501,282,503,500,649,502,500,500,500,107,649,299,503,649,800,502,800,501,503,501,500,666,504,500,501,649,502,501,501,501,649,17,649,502,503,500,503,800,500,503,500,282,282,504,503,503,800,791,800,503,501,502,500,282,501,501,282,500,502,501,800,649,800,16,500,503,501,800,649,502,649,500,500,501,800,649,502,500,500,500,521,500,503,800,502,500,502,282,500,649,500,917,55,503,501,501,240,107,800,282,502,800,800,649,282,956,503,502,800,16,649,500,500,800,800,501,503,903,800,282,800,649,500,502,500,502,501,800,282,800,282,500,649,16,800,399,282,346,16,500,501,800,503,649,502,800,800,500,500,649,649,504,16,501,501,800,500,282,504,649,649,501,503,500,364,649,107,878,500,649,800,800,503,500,502,502,502,649,632,502,502,502,503,501,503,503,503,107,649,16,800,501,800,502,501,811,649,282,282,282,501,282,500,38,640,500,800,649,649,338,501,501,503,320,502,500,502,503,34,16,800,502,282,500,501,502,502,241,414,282,649,649,502,501,16,282,27,502,649,504,107,990,501,501,682,128,502,500,501,282,478,500,800,502,649,649,501,741,500,500,567,282,282,649,500,340,649,800,502,500,502,503,800,800,482,501,335,800,800,502,501,503,649,800,282,501,501,649,800,291,501,800,307,103,282,503,501,800,649,38,282,103,122,39,649,282,658,211,503,282,502,16,649,501,503,649,282,501,503,503,502,500,500,501,501,503,501,752,500,626,502,649,501,800,800,502,259,649,375,220,500,649,501,649,800,502,501,649,500,282,501,800,502,502,282,649,500,501,503,800,661,342,800,800,827,501,383,502,282,649,501,500,503,105,282,500,503,500,503,501,502,500,800,503,504,282,649,501,501,502,500,282,800,800,800,501,800,755,949,503,800,503,800,503,906,649,846,274,649,649,502,500,503,604,614,16,501,501,504,502,649,500,501,501,800,503,501,500,649,800,183,800,649,503,502,649,500,800,502,800,502,16,503,500,501,503,81,504,280,800,800,502,502,501,649,504,538,800,500,649,500,649,513,502,502,800,500,500,649,649,526,501,39,649,19,649,501,649,977,800,800,501,282,500,501,800,502,502,282,500,649,502,503,503,800,649,800,504,503,501,503,649,649,500,282,649,16,16,501,503,502,502,282,502,100,503,501,501,500,649,501,800,503,500,501,501,800,649,649,502,558,500,502,502,267,800,501,501,282,800,756,500,800,16,500,503,502,500,800,501,260,565,501,649,800,501,649,282,800,503,727,503,501,502,635,56,501,503,16,500,656,501,319,857,800,460,16,800,502,800,501,501,649,503,500,500,500,649,503,109,298,649,503,500,501,649,500,800,503,800,558,800,649,282,504,282,501,501,800,504,649,500,800,956,649,503,75,500,16,502,649,503,502,500,503,502,16,275,800,500,500,502,502,800,502,649,617,995,649,500,800,503,501,282,503,638,649,503,800,502,654,503,503,800,16,800,649,106,800,282,503,282,502,649,502,389,503,501,800,379,800,800,503,500,501,500,16,501,502,391,719,800,6,502,500,224,282,800,503,596,800,503,500,503,500,503,107,649,91,503,16,501,500,503,500,502,291,501,16,501,649,503,800,282,502,72,95,649,501,649,800,649,503,282,501,503,649,502,800,649,502,113,39,310,282,504,741,503,500,500,502,800,501,282,500,800,282,503,500,649,348,502,502,500,503,339,500,504,503,501,502,649,649,500,504,501,104,504,282,282,500,282,500,649,502,649,501,501,649,504,503,999,800,501,722,800,500,501,503,501,500,502,649,502,502,502,503,649,649,800,502,16,800,503,800,282,800,503,500,502,503,649,501,800,502,503,800,503,649,16,800,800,306,500,503,800,16,504,800,501,964,500,649,954,500,502,405,800,501,503,503,649,800,501,16,800,502,800,760,800,501,649,511,501,800,649,502,649,649,16,485,502,501,501,16,250,504,649,502,144,16,503,649,978,649,503,282,500,501,649,502,189,500,500,501,500,107,800,502,800,502,800,500,501,503,16,800,282,501,915,501,503,503,726,501,501,112,501,501,16,500,800,502,800,800,649,500,800,617,282,502,800,503,504,500,649,502,502,502,502,649,408,624,282,501,431,502,502,500,500,502,503,718,800,503,800,502,502,800,282,501,282,502,237,649,502,800,501,800,649,500,127,502,503,649,501,500,800,502,388,620,26,501,649,800,501,502,800,800,501,802,500,649,503,103,503,718,503,800,243,16,16,282,502,501,503,391,503,800,500,16,503,282,500,800,649,503,878,800,502,501,800,649,501,800,800,16,503,187,502,800,502,500,107,503,501,800,800,500,800,500,503,503,800,502,503,500,502,503,502,800,501,649,502,612,16,649,800,501,503,500,500,103,800,501,503,310,503,25,230,800,800,800,649,503,800,867,800,503,282,501,859,800,282,19,503,800,501,500,502,503,501,862,501,502,503,503,800,504,714,800,800,800,500,649,800,500,502,501,504,16,502,501,282,16,282,501,243,503,503,282,649,282,500,72,800,500,800,503,503,16,501,503,800,649,503,503,501,500,502,501,500,649,298,502,649,423,500,800,282,500,16,500,500,649,422,501,649,16,503,800,503,774,649,175,503,501,501,503,800,502,649,502,502,501,22,501,500,501,501,649,800,457,800,649,503,649,504,504,501,878,503,500,502,800,649,503,282,282,502,649,504,649,504,500,501,501,438,649,800,503,500,800,703,103,800,500,500,501,282,502,503,503,649,800,262,16,501,502,500,503,146,145,800,502,282,502,590,502,502,593,649,649,215,502,502,800,382,502,282,282,16,16,649,76,501,500,107,982,649,500,649,501,16,4,107,502,501,503,502,93,800,16,503,500,501,649,649,649,500,649,501,502,503,502,800,503,500,649,503,500,800,649,502,649,503,502,800,503,482,501,502,503,649,800,500,16,282,649,800,636,501,502,925,500,649,500,107,500,649,500,502,649,502,500,503,800,649,800,502,649,503,500,504,499,800,500,980,501,873,504,282,314,502,282,502,500,502,501,502,16,500,503,503,501,502,503,800,503,16,501,16,503,500,504,649,503,500,370,649,800,501,16,107,917,503,800,16,503,500,501,500,502,800,502,503,360,282,649,502,501,501,16,649,502,800,649,501,282,503,144,503,500,503,500,502,649,501,996,649,504,503,649,800,842,845,500,649,800,347,503,107,502,800,649,282,649,282,696,16,16,503,503,649,502,503,500,503,800,503,502,501,649,502,500,500,501,649,500,503,800,800,503,173,591,501,800,391,800,503,502,800,946,917,16,501,502,649,503,282,500,500,503,500,956,501,503,282,279,503,16,503,317,927,501,649,500,502,282,649,800,503,800,501,649,503,502,501,502,282,282,756,502,649,800,614,800,800,501,503,103,503,107,500,500,107,502,800,503,800,16,649,503,500,502,800,649,500,502,501,502,800,800,649,800,501,502,16,501,503,503,800,649,800,800,282,800,800,502,500,503,690,24,501,501,502,976,403,94,502,502,397,282,503,500,649,800,649,282,500,501,503,503,533,483,502,503,501,853,800,191,502,282,643,503,649,502,800,502,500,502,800,501,502,502,800,502,524,503,500,500,502,501,800,503,503,623,500,502,502,387,282,800,501,502,330,503,500,503,800,282,649,502,500,442,503,575,500,501,500,649,501,502,503,479,16,852,868,800,501,681,910,501,502,867,16,649,282,503,503,502,502,500,282,649,500,649,800,502,800,579,592,503,282,649,500,503,500,649,221,503,103,649,502,500,658,500,800,282,45,649,503,16,277,500,502,649,504,502,52,95,800,649,500,503,503,501,649,800,649,504,503,649,503,282,503,501,504,500,500,282,501,800,503,503,649,503,503,501,800,282,500,501,502,649,282,503,503,503,800,502,800,649,984,503,501,554,649,849,503,502,502,567,500,500,501,800,501,503,649,503,501,649,501,502,500,500,16,502,503,690,16,88,504,16,531,504,503,500,649,800,502,502,649,649,500,63,500,501,886,503,502,504,504,501,502,502,832,500,878,649,500,649,282,282,501,502,16,58,280,290,502,502,800,502,504,501,282,800,500,502,501,649,583,501,501,503,501,501,503,143,282,649,503,611,502,502,800,500,249,503,501,503,604,502,800,500,800,649,501,282,501,800,800,871,502,807,501,501,503,501,502,502,504,500,360,502,282,16,248,501,500,650,649,503,649,500,800,800,500,502,800,502,503,800,500,503,649,16,501,502,502,501,502,503,500,501,546,500,649,502,403,98,502,501,500,107,649,800,755,500,282,649,504,503,501,693,917,503,501,649,502,500,501,504,16,800,579,16,800,649,800,705,503,103,478,500,500,187,649,916,500,500,800,779,649,503,500,649,501,800,500,649,800,800,800,503,503,503,246,502,501,500,503,500,282,649,800,479,215,504,649,107,500,751,438,40,500,800,800,649,502,491,501,501,833,822,800,334,649,500,500,504,800,501,282,649,503,649,282,500,503,500,503,503,503,504,500,800,282,502,502,649,500,489,282,649,502,282,500,503,500,800,502,800,649,502,649,800,503,501,502,503,866,500,504,766,500,501,500,501,500,501,800,800,503,503,610,501,221,188,502,367,800,649,501,800,502,136,503,649,800,503,501,800,502,502,800,502,800,501,282,502,502,800,649,649,800,502,502,800,503,503,803,501,270,16,738,500,649,501,501,282,807,501,502,501,503,649,500,800,598,649,501,502,800,500,107,500,527,313,502,800,800,503,500,282,500,800,503,503,503,502,501,501,649,16,838,800,282,503,501,86,800,800,699,503,800,800,665,450,649,500,649,502,800,800,649,502,649,501,500,800,503,800,649,66,500,800,649,282,800,501,504,649,649,649,282,501,501,503,116,800,625,800,500,503,66,503,502,800,500,800,800,800,502,113,282,800,503,502,503,502,800,282,649,501,275,502,502,488,500,800,649,16,714,503,502,546,503,571,502,502,503,500,503,500,502,502,800,500,501,502,503,649,502,798,500,501,770,503,501,649,503,919,649,502,503,500,501,503,502,649,649,501,649,649,766,282,500,501,16,503,800,800,16,649,649,741,282,649,502,565,174,500,861,621,501,649,282,649,504,649,501,649,649,649,503,501,501,649,502,501,502,504,502,502,381,649,781,282,501,282,500,800,503,282,800,800,501,16,107,500,500,649,502,967,503,500,500,503,502,16,500,282,800,503,649,501,501,500,501,96,107,701,800,460,649,649,152,501,500,500,502,501,502,800,500,500,800,800,502,502,503,500,501,503,800,800,649,501,501,500,501,504,800,800,502,282,500,800,800,503,107,500,502,502,503,145,495,502,16,501,916,502,649,502,500,649,800,503,501,306,282,501,16,800,501,500,501,649,501,503,500,282,500,826,501,504,501,503,500,101,800,528,503,649,502,800,16,648,800,503,503,502,649,16,503,649,502,503,800,649,800,502,501,282,503,503,503,502,501,298,503,649,649,282,800,649,503,603,800,727,649,500,501,500,503,502,705,261,649,502,502,107,16,501,16,800,649,800,282,500,504,800,181,500,542,103,500,800,649,503,800,800,800,503,649,500,502,649,503,403,503,500,501,500,500,103,500,502,16,800,502,502,501,501,16,800,800,501,502,282,500,309,503,649,502,107,502,502,503,502,504,500,649,501,282,299,503,649,800,501,502,16,759,661,503,501,503,502,317,16,502,501,125,16,800,503,503,800,282,282,107,501,502,649,502,501,503,458,503,500,500,800,412,500,998,282,503,649,703,282,502,800,502,649,502,800,502,502,501,502,501,503,503,500,800,276,649,500,503,119,800,282,500,669,185,503,649,501,138,502,501,500,282,501,332,503,501,503,504,319,501,282,504,649,504,501,501,649,649,503,501,500,500,503,800,500,501,500,568,503,501,503,750,800,501,51,649,373,501,501,500,503,649,501,649,16,649,282,113,282,503,792,501,500,107,501,502,800,447,800,501,649,800,649,501,500,501,282,504,503,800,503,282,699,282,503,649,649,800,282,502,16,282,282,502,502,502,282,16,800,501,649,502,502,501,501,501,16,649,502,501,800,649,503,107,500,501,500,922,800,500,501,649,282,800,649,503,649,282,800,837,500,649,501,501,500,501,500,503,419,503,500,502,502,16,649,800,501,503,500,684,800,282,500,501,501,501,500,757,282,800,501,500,282,800,649,634,282,503,500,282,16,501,282,800,143,649,800,123,649,800,500,500,503,500,800,503,501,503,282,649,502,503,649,502,500,800,800,649,649,502,717,649,498,649,500,503,500,649,649,649,800,501,502,833,501,502,500,503,800,503,501,800,649,649,282,503,501,649,501,502,458,501,501,865,128,500,503,500,502,502,503,503,800,649,338,501,503,502,500,800,502,542,510,800,649,501,503,503,500,502,282,503,282,502,800,649,500,503,16,649,503,649,800,500,502,747,500,282,503,500,282,500,282,282,501,649,502,800,500,500,503,500,649,282,800,503,500,649,503,800,501,753,502,800,500,282,500,649,502,502,282,649,726,153,649,649,800,503,16,649,649,503,382,500,503,269,500,282,708,649,501,282,500,503,282,107,503,800,501,426,282,282,503,978,501,501,502,134,800,503,501,800,501,500,16,502,649,16,500,501,16,83,800,649,649,951,503,800,282,502,321,502,500,500,649,502,64,800,503,502,500,502,16,502,501,501,584,666,500,501,501,502,16,107,800,503,649,500,503,504,503,548,800,103,282,649,800,800,504,504,800,501,661,503,502,503,501,800,502,502,501,800,503,503,107,282,502,649,16,500,800,800,503,504,501,800,501,501,800,501,501,943,502,501,282,649,649,500,649,500,800,800,205,501,504,503,800,12,500,502,800,649,649,282,503,501,649,501,807,500,344,502,705,800,282,185,502,503,502,296,502,502,502,16,502,503,502,269,500,503,649,500,502,649,800,500,800,800,800,556,649,503,800,649,282,503,743,503,501,800,500,800,500,282,500,502,501,502,16,800,500,503,800,501,501,503,500,649,502,800,501,107,502,502,502,500,97,502,800,504,502,649,502,501,649,947,800,499,500,503,649,500,713,503,503,500,107,503,649,16,500,503,970,800,502,502,503,502,340,503,800,502,649,504,800,649,503,107,649,800,800,500,800,800,502,503,282,501,500,496,501,501,800,649,501,500,800,107,501,16,502,503,501,502,502,504,649,503,500,500,107,502,800,649,282,188,319,800,282,103,502,503,504,649,501,649,16,502,502,503,503,502,800,303,649,503,649,501,501,649,800,501,500,500,16,503,501,437,897,503,684,800,502,500,872,501,455,282,107,800,503,649,503,501,800,502,103,502,503,881,502,282,501,501,502,500,282,991,501,503,503,653,500,502,500,103,282,282,649,800,501,502,30,649,501,500,502,866,800,1,502,649,500,503,500,16,500,800,501,649,800,800,502,282,806,649,649,282,194,649,503,730,800,502,649,961,503,501,282,500,800,500,500,649,501,500,503,107,649,649,800,649,891,800,500,649,800,649,649,800,503,501,649,282,501,134,765,678,16,500,800,504,536,800,503,503,500,649,649,503,326,500,800,503,501,502,502,242,503,649,800,500,649,649,500,282,502,500,503,16,800,800,21,803,103,503,501,503,502,502,800,282,503,282,649,699,500,649,503,500,318,502,502,240,107,760,282,649,501,191,500,851,968,16,501,649,649,502,502,502,800,649,362,649,502,502,649,282,800,502,282,649,501,503,649,503,501,800,800,596,781,504,800,503,501,503,649,504,500,282,649,503,744,926,504,501,800,800,630,501,680,800,282,315,501,503,500,16,503,500,501,500,649,386,500,502,500,502,649,649,504,500,800,649,16,649,503,502,649,534,503,649,502,649,248,669,500,335,501,107,503,503,649,502,503,800,649,500,503,452,282,503,282,649,502,800,96,503,500,503,649,500,649,503,649,502,570,282,502,502,196,502,502,800,282,69,501,501,502,39,800,282,16,282,800,500,502,501,500,500,282,103,649,500,502,800,500,451,807,430,649,221,500,502,501,500,501,500,103,649,502,503,16,500,282,503,503,501,16,500,485,109,503,501,501,500,655,800,500,504,503,800,501,503,501,282,649,503,502,16,649,917,800,649,16,582,501,649,504,500,501,503,946,501,503,502,503,503,502,501,502,503,649,309,500,502,649,502,503,800,594,800,649,503,503,800,800,448,800,649,100,501,800,697,502,400,502,649,501,500,500,800,500,800,800,282,282,502,500,502,649,503,274,500,500,649,501,282,503,282,500,503,282,649,500,501,502,116,503,503,800,501,501,282,51,502,649,800,503,587,800,649,500,504,594,500,502,502,503,502,800,503,502,503,503,500,572,649,282,503,649,282,649,282,705,107,649,649,282,501,500,502,500,502,501,501,800,93,107,500,502,501,78,875,500,500,282,649,649,501,503,16,649,800,500,502,500,800,16,800,649,649,16,501,800,503,502,649,501,501,800,500,503,800,503,800,649,503,800,502,649,800,800,2,570,800,501,649,705,282,649,800,649,649,800,501,500,649,501,800,649,503,16,503,502,503,16,800,502,649,502,502,649,502,282,649,503,369,502,500,501,185,501,500,501,282,501,501,800,649,502,107,501,649,649,800,501,503,503,502,282,282,502,212,649,649,503,500,503,800,502,282,501,500,49,501,282,500,800,500,502,76,800,500,800,649,800,500,282,502,16,501,501,502,501,502,500,800,843,282,649,16,502,500,534,649,501,502,501,503,503,282,282,719,649,503,800,649,225,501,107,501,282,649,501,500,16,501,501,500,282,649,502,500,800,17,500,649,16,649,501,258,500,503,649,800,502,500,503,649,502,500,282,649,504,649,309,503,649,16,800,649,501,826,739,502,604,800,16,503,503,500,502,503,282,16,500,800,501,282,503,649,793,279,503,502,135,800,649,784,502,502,501,501,502,649,800,503,500,500,501,16,892,500,500,257,649,257,657,501,500,649,500,800,649,502,800,500,503,282,500,503,500,503,503,500,475,502,649,800,501,838,649,839,747,801,649,501,503,649,500,592,282,913,800,501,282,649,502,800,501,609,500,167,649,854,649,501,501,649,502,502,282,500,800,503,724,502,649,502,503,502,649,452,199,503,501,503,501,800,649,500,500,501,503,282,649,649,501,503,500,503,500,107,341,649,500,504,719,282,500,649,774,649,800,501,500,503,139,800,500,649,503,649,500,649,608,697,501,502,181,107,501,103,800,502,800,800,282,800,501,73,40,282,800,16,527,800,500,501,503,501,501,656,282,504,502,800,500,502,172,500,500,107,649,726,502,503,501,502,500,11,800,800,649,592,800,800,282,500,501,800,649,500,282,693,501,504,501,649,827,800,500,503,503,500,504,800,503,500,649,504,502,800,503,500,502,77,649,500,862,649,502,107,502,503,500,331,800,649,503,500,800,503,800,649,501,610,649,881,813,282,501,502,503,503,502,649,649,503,500,500,800,503,282,16,800,16,502,501,500,500,276,800,800,500,800,282,502,830,649,649,502,502,649,502,501,16,800,800,501,503,502,501,502,649,502,500,501,16,800,503,502,501,503,800,939,502,503,503,794,526,501,282,503,500,649,503,486,500,649,649,500,800,501,503,800,906,503,800,503,503,502,501,502,854,501,364,142,501,800,500,724,705,502,800,503,16,501,500,501,800,503,800,500,459,937,649,800,504,949,596,501,282,501,649,500,721,500,282,502,883,282,500,503,282,523,500,501,503,503,800,502,800,649,800,502,500,501,649,503,503,800,57,503,807,500,501,502,800,399,800,649,649,77,502,500,800,142,600,800,500,649,649,502,501,800,800,502,503,503,649,384,649,500,800,501,800,649,800,282,800,502,800,16,649,649,500,800,500,800,282,500,562,519,800,827,501,500,502,500,282,503,501,16,16,503,236,503,705,282,501,503,501,502,800,800,800,500,649,500,649,643,800,502,501,500,500,501,950,502,800,800,501,800,282,282,107,500,800,55,800,160,500,800,282,537,800,282,444,503,579,800,500,800,503,500,282,800,649,503,282,800,526,501,501,649,107,282,502,282,501,500,503,500,503,16,800,800,503,502,800,500,926,800,503,649,503,501,800,500,649,502,930,500,500,501,381,282,649,282,503,705,649,501,776,649,503,500,501,501,800,552,502,501,502,800,501,649,649,502,500,282,501,649,444,501,800,800,800,649,823,502,800,502,502,649,282,800,800,501,517,500,501,800,16,502,501,500,800,502,800,503,503,502,501,800,500,783,502,649,107,800,503,941,256,649,501,282,500,930,800,502,649,759,503,16,502,502,195,649,649,160,649,800,503,800,800,16,282,955,501,502,500,282,500,800,503,502,649,501,282,503,501,649,384,500,264,649,800,502,502,500,503,649,503,503,480,649,500,503,649,800,103,800,800,502,501,649,282,800,500,501,504,500,500,501,649,978,16,503,503,503,16,72,503,649,977,501,500,16,649,501,16,424,501,500,702,503,649,501,501,503,502,649,16,97,748,500,502,502,500,800,800,282,328,500,503,649,190,500,800,501,501,500,800,502,16,705,103,500,502,503,800,503,649,16,502,800,282,503,500,503,503,17,800,503,502,501,649,282,502,503,649,800,800,649,800,45,800,400,649,501,800,482,501,649,503,282,800,501,501,502,103,800,904,649,875,503,800,469,282,649,503,501,502,501,503,649,503,422,282,503,649,282,465,649,315,282,661,502,500,503,500,649,502,501,800,800,502,502,282,252,107,503,221,649,79,649,16,800,282,502,501,28,649,500,500,500,226,734,503,649,800,649,503,282,503,502,503,502,501,800,800,16,501,503,800,649,501,500,501,778,502,503,502,501,282,649,500,649,501,172,282,502,282,503,16,46,500,502,500,503,649,754,282,282,501,649,501,282,86,649,800,17,501,649,503,501,502,501,649,800,649,502,501,503,800,705,501,191,57,174,501,501,502,963,559,649,500,501,435,649,282,800,649,502,501,282,282,800,501,503,502,501,502,326,504,502,500,649,649,501,912,103,649,502,649,800,501,502,649,649,207,800,800,501,800,649,649,502,282,501,502,500,290,500,800,502,800,502,503,800,502,884,649,282,649,800,500,282,616,501,800,16,282,800,501,501,502,502,776,282,500,503,800,500,800,501,649,16,501,800,503,800,800,800,502,882,282,503,649,503,502,503,500,500,502,501,912,282,939,282,820,800,500,502,800,501,282,800,800,800,800,503,500,154,282,649,503,501,502,103,103,576,502,218,502,103,800,649,503,503,282,502,502,504,800,500,649,282,503,500,649,649,800,282,503,107,649,282,503,867,502,800,800,500,807,503,501,501,282,501,649,502,503,800,502,504,107,502,503,800,503,501,504,502,649,503,503,500,649,800,649,502,502,502,502,500,244,800,16,500,16,800,504,500,800,107,504,502,502,500,649,282,502,16,501,502,501,503,800,500,500,503,503,649,800,800,649,503,502,649,502,729,503,502,800,503,800,500,800,503,503,486,502,800,649,502,500,649,282,347,649,503,282,500,503,502,282,649,503,800,516,501,503,16,501,649,500,800,649,800,503,502,282,649,503,800,581,282,16,502,504,501,503,800,503,502,500,282,503,500,16,501,94,800,500,293,800,503,502,501,501,722,649,16,502,649,800,599,800,800,800,649,800,502,411,501,500,282,107,500,501,503,500,426,421,502,500,501,501,504,500,800,501,687,503,501,503,512,503,16,500,282,800,649,500,500,649,503,532,501,500,649,649,16,16,502,282,282,503,502,500,649,800,500,649,649,500,501,800,503,649,800,800,501,500,501,800,503,649,502,649,501,503,287,503,501,501,649,500,800,504,500,501,282,800,503,649,800,800,649,503,233,502,649,282,649,503,649,294,500,282,16,503,894,6,502,480,500,501,500,649,649,500,16,282,380,502,501,500,649,501,503,282,106,800,16,800,968,501,565,500,282,500,800,503,502,502,649,501,800,800,800,501,649,502,807,500,800,800,649,800,800,503,501,503,501,282,502,16,503,502,282,501,501,500,649,503,501,616,503,500,502,649,649,16,248,282,649,502,800,800,503,16,503,500,800,503,649,282,502,277,503,502,500,800,502,16,282,500,502,649,502,503,503,503,82,502,501,500,503,503,502,501,502,19,500,500,649,800,282,500,16,502,649,649,503,501,800,501,649,800,649,649,282,800,503,800,282,649,649,503,501,503,501,502,649,502,649,800,282,649,412,502,502,800,500,282,501,500,800,502,500,500,282,282,800,501,500,800,503,649,141,282,72,501,800,800,290,800,649,504,349,103,501,800,503,500,503,503,800,800,501,649,503,500,503,503,500,501,502,282,500,800,500,503,502,501,501,649,500,502,503,800,500,800,500,662,501,503,800,649,93,503,282,500,503,800,500,800,501,800,800,800,649,230,501,501,504,500,213,282,649,500,502,503,16,500,502,500,800,502,649,502,501,253,800,800,282,502,500,282,419,501,502,649,282,503,807,501,16,502,649,16,649,501,649,502,501,16,502,649,649,503,16,142,800,800,503,451,649,501,649,503,501,502,69,800,649,470,503,500,503,500,500,503,800,503,503,500,270,501,486,502,502,16,500,27,800,649,500,504,502,649,282,503,503,501,502,282,501,800,649,503,502,502,649,88,275,502,501,60,503,500,282,649,649,503,16,649,503,503,800,282,502,800,500,649,500,649,501,503,502,503,282,501,107,502,973,16,502,800,500,649,107,800,501,800,807,500,282,649,697,282,500,649,649,167,649,282,500,503,649,800,502,800,500,649,503,501,501,357,282,500,501,503,503,502,649,501,502,800,247,282,502,297,649,502,500,502,800,503,503,503,800,501,503,504,800,800,801,103,282,502,511,800,800,501,502,800,686,503,501,282,577,800,800,502,800,501,649,502,649,502,68,830,503,16,502,16,370,504,649,502,501,649,501,500,501,282,175,502,500,502,649,649,503,649,502,503,500,800,503,503,800,502,501,503,504,501,649,37,502,503,501,800,501,501,503,500,800,649,800,649,500,29,503,502,501,418,502,649,500,501,500,503,501,800,800,501,282,800,500,502,800,501,800,800,649,500,649,503,649,800,501,500,282,800,503,502,503,649,502,16,649,244,649,282,649,503,502,649,282,16,800,503,708,190,503,503,365,501,502,503,503,800,282,503,500,800,914,649,282,16,649,503,282,502,503,501,800,502,501,16,282,502,107,800,649,643,16,503,500,503,282,88,502,500,502,501,800,800,501,485,649,16,503,500,504,501,501,500,649,16,282,503,503,800,800,649,500,800,502,503,282,504,282,500,800,649,903,800,800,630,500,500,500,649,503,759,800,650,282,389,501,502,503,500,107,800,503,800,503,502,502,500,404,649,504,800,503,500,125,501,649,972,502,501,500,501,649,800,502,500,501,502,940,503,649,649,502,800,501,649,502,503,501,503,649,503,800,503,926,800,649,502,500,649,501,500,282,132,503,501,500,503,503,800,800,502,649,649,89,503,282,273,500,501,501,800,133,503,500,503,501,500,800,500,800,500,502,502,501,503,502,500,282,500,649,388,649,503,501,502,502,504,207,800,502,103,16,800,503,282,503,16,800,237,501,500,695,649,501,800,500,800,501,442,282,503,649,501,502,800,499,649,502,503,236,649,282,800,500,503,500,503,705,503,500,503,282,649,649,503,282,800,500,800,282,502,503,502,649,503,503,438,107,617,16,719,503,649,152,500,282,649,502,500,282,620,800,501,800,800,503,748,504,500,649,800,502,501,649,410,502,502,649,501,502,800,800,800,502,500,16,177,901,800,503,500,503,872,500,500,501,209,518,282,649,16,747,800,16,940,282,649,800,800,649,282,502,800,502,759,101,500,501,608,800,502,649,649,501,322,282,282,282,800,501,856,679,501,501,649,709,501,381,501,500,282,282,501,282,500,282,598,500,503,800,398,784,501,501,282,299,503,800,500,282,649,501,800,503,501,800,502,649,502,649,504,500,649,502,800,800,800,800,17,501,282,800,501,500,447,503,501,541,501,502,500,501,649,503,16,502,500,501,282,800,649,649,503,500,282,503,282,502,500,501,501,501,501,900,800,501,649,649,500,297,500,649,661,501,282,502,152,282,800,649,584,800,501,16,231,282,282,123,412,800,501,649,16,800,504,502,649,649,800,501,502,500,800,501,649,649,282,503,503,649,800,264,501,501,763,502,501,502,256,500,282,501,501,649,502,503,103,649,504,500,16,504,500,649,800,501,800,649,503,500,503,501,502,503,800,282,501,503,403,342,649,800,500,433,16,500,407,503,282,500,501,800,121,503,560,503,501,969,800,649,125,502,800,649,800,649,421,282,856,504,501,494,502,800,502,502,502,649,503,649,502,800,500,899,800,800,502,500,503,649,365,16,503,503,16,266,649,502,502,16,649,503,282,500,282,501,603,501,800,282,503,649,502,504,500,800,502,501,16,649,649,649,503,649,16,500,504,504,282,649,501,649,501,500,800,501,649,500,656,500,501,800,501,16,282,503,282,503,503,16,501,500,502,649,503,500,501,503,649,800,502,503,642,500,504,500,282,800,649,503,16,500,649,502,649,178,503,562,649,503,414,800,501,501,307,61,922,649,397,500,649,501,502,800,649,504,502,503,500,501,649,503,503,800,500,800,800,649,500,649,501,503,756,502,491,500,800,501,649,876,649,649,500,800,501,503,282,800,452,282,500,501,501,503,504,649,800,502,503,501,504,649,500,660,649,500,500,649,502,503,649,501,503,389,800,621,829,502,501,501,500,282,500,649,800,649,500,501,800,500,800,649,800,501,103,501,16,282,139,503,800,500,500,503,282,502,424,500,528,800,800,800,503,800,502,501,503,500,503,800,592,722,502,500,16,800,529,16,649,16,64,800,500,800,800,503,502,800,501,503,16,649,800,501,501,800,649,501,503,649,590,500,515,502,502,282,282,503,502,503,987,800,282,800,800,503,781,500,800,503,503,502,500,501,502,503,501,502,800,649,282,501,502,431,500,503,380,501,282,501,744,800,502,502,649,649,502,800,16,501,501,329,800,503,500,500,502,503,799,503,800,282,800,649,649,501,501,549,649,503,649,649,800,649,501,564,502,800,503,503,500,503,12,502,502,502,504,501,800,649,500,649,502,649,649,501,503,649,502,800,16,649,800,502,502,502,501,800,637,819,16,503,16,502,502,502,500,800,504,282,103,649,762,503,500,503,649,282,649,502,503,282,502,503,487,500,282,31,282,649,649,503,362,430,502,800,191,649,501,500,501,503,502,503,282,800,800,903,502,500,502,800,500,503,16,800,649,842,800,503,778,107,502,282,649,502,501,501,504,16,504,649,501,763,503,282,503,503,803,282,501,503,800,282,649,502,502,800,800,502,282,500,500,503,502,501,610,503,502,329,343,500,800,800,503,501,440,503,572,800,501,503,649,500,503,501,800,502,649,503,649,282,800,447,500,500,502,503,501,503,501,500,503,501,502,796,502,282,649,503,976,17,649,503,249,500,107,800,502,501,800,502,503,120,282,649,502,501,800,502,502,501,501,867,800,799,415,649,800,649,282,503,500,501,649,500,501,649,503,649,502,502,502,502,503,800,501,502,502,500,500,649,502,649,502,604,502,504,649,800,502,501,800,501,501,503,500,854,649,504,649,800,800,503,501,16,500,365,501,16,502,107,649,504,501,282,649,500,800,16,501,800,503,501,668,649,649,800,800,648,500,503,501,16,503,503,16,501,500,501,502,500,501,649,16,504,107,649,282,649,503,501,800,282,502,502,649,282,897,503,800,282,503,16,504,793,649,504,103,501,503,502,649,503,649,649,502,503,800,282,501,649,503,800,947,501,649,649,503,500,649,649,649,282,500,649,649,500,501,800,501,500,649,500,605,649,683,649,501,659,503,503,501,501,800,292,503,501,44,606,501,500,502,800,502,500,503,800,502,501,818,501,502,649,597,502,502,502,649,800,503,502,649,7,16,800,800,500,327,503,800,649,649,500,500,208,649,282,500,800,504,649,649,903,500,800,800,444,838,649,500,500,501,649,502,502,196,649,298,800,649,44,800,800,500,46,503,501,494,800,282,800,503,455,282,503,501,800,282,500,504,881,503,800,501,769,800,649,502,502,649,502,800,16,649,800,501,800,282,800,500,122,800,918,501,442,807,16,501,800,649,500,649,502,500,501,282,501,501,924,500,705,501,245,501,800,800,502,103,649,502,800,107,836,502,800,502,103,502,502,502,502,649,501,502,648,503,502,501,282,425,500,800,91,503,103,147,500,800,800,649,500,500,282,502,649,502,800,282,500,282,502,502,500,503,800,502,502,16,800,501,369,282,502,247,500,503,589,500,649,282,503,500,16,800,649,500,502,649,633,649,800,107,503,501,800,800,501,800,16,501,500,649,504,800,501,800,800,919,649,500,282,649,500,282,800,502,502,107,800,649,649,422,600,431,649,501,707,800,103,451,649,649,800,502,767,501,260,501,503,800,649,500,503,500,501,649,500,282,501,800,16,503,616,503,500,501,649,649,502,500,500,282,749,800,500,503,502,649,502,502,500,501,500,501,800,800,500,16,282,501,502,876,501,504,712,164,501,501,503,800,501,800,500,503,501,500,500,282,800,500,503,800,501,500,501,698,503,502,412,800,501,500,503,501,800,800,503,282,282,500,501,649,800,282,282,649,542,503,800,649,502,746,649,649,649,501,649,502,267,800,94,649,503,501,500,501,504,503,500,503,649,501,502,800,501,800,501,264,800,503,630,502,282,649,500,103,397,501,107,502,455,503,500,407,503,501,800,503,800,500,501,500,16,502,107,300,649,649,800,500,800,282,503,502,800,502,502,503,800,649,107,282,501,107,800,16,282,500,502,504,502,282,800,502,816,198,502,800,500,500,502,800,16,501,649,501,807,502,800,500,502,502,557,168,649,282,503,510,502,587,827,649,649,186,174,501,503,649,197,282,501,282,503,501,503,501,725,503,16,800,282,501,500,504,649,75,503,649,800,800,649,500,800,800,649,649,502,502,800,502,502,481,503,502,502,649,503,502,502,999,627,501,649,500,134,502,501,612,800,649,507,800,501,503,500,151,502,502,282,501,873,649,500,800,649,800,282,500,800,282,282,502,501,503,500,800,282,649,282,500,16,16,501,500,686,649,501,917,659,649,500,800,501,502,800,502,502,800,649,370,649,500,503,16,16,282,436,16,500,503,282,649,282,502,282,649,502,21,500,649,502,867,503,503,9,501,282,800,501,500,503,502,800,800,500,919,501,282,649,16,649,502,503,282,649,503,503,502,310,502,649,800,800,282,500,649,502,503,649,500,649,649,649,800,501,501,282,282,800,993,800,649,800,294,501,649,500,501,800,502,282,800,500,502,106,735,503,649,216,800,800,282,501,107,649,500,16,500,501,649,501,649,502,649,577,500,800,503,502,705,503,503,649,504,800,195,800,501,503,649,484,649,450,649,503,502,502,502,501,500,649,187,503,649,500,282,500,649,500,500,501,503,723,800,500,501,649,282,649,500,879,503,503,500,503,16,773,503,282,649,649,674,501,100,500,16,943,937,501,423,948,503,1000,500,117,500,800,502,649,501,718,501,161,734,502,502,502,649,282,705,503,649,800,500,282,282,282,501,503,263,649,705,800,502,502,502,500,401,502,502,500,649,282,649,502,501,800,502,501,502,800,705,501,500,503,501,501,502,800,649,649,502,282,400,649,503,503,896,282,501,649,503,503,282,503,501,334,501,503,500,649,800,501,500,502,282,500,800,502,502,649,649,502,501,649,503,500,800,16,282,502,593,649,500,502,500,503,500,521,282,16,502,282,800,926,649,503,107,503,501,503,792,786,503,800,800,501,800,800,503,800,288,502,501,500,282,50,502,503,502,502,502,503,502,501,502,16,801,649,501,361,800,649,500,800,16,800,500,800,16,503,649,503,800,649,502,501,800,502,501,501,501,500,800,503,500,500,501,649,649,282,282,901,649,502,503,649,800,500,500,502,282,649,501,255,649,16,16,477,256,583,800,500,649,649,282,649,500,501,501,500,502,528,649,502,501,800,502,649,930,504,502,504,649,103,500,501,500,503,500,501,800,649,649,503,502,507,649,500,503,501,500,500,502,501,500,501,800,501,501,503,501,649,502,501,501,501,503,830,503,800,800,649,649,419,276,800,756,947,502,503,140,502,503,831,800,503,644,649,649,500,503,649,800,501,649,500,500,501,500,502,500,500,649,503,501,503,649,800,503,471,504,503,503,729,502,800,649,16,502,503,501,980,800,502,502,500,800,529,500,502,502,346,502,502,963,501,800,501,500,501,800,503,502,501,149,91,295,649,649,800,500,500,503,500,649,500,501,800,103,282,886,501,503,107,800,800,649,148,800,800,502,501,9,282,503,501,502,501,501,503,501,800,649,500,649,501,500,500,800,503,896,501,501,377,783,800,501,503,503,54,787,800,298,800,502,800,16,501,649,839,500,503,800,502,282,503,503,501,503,649,761,843,501,16,502,258,16,500,300,502,107,503,800,16,730,503,649,503,649,649,649,501,501,502,674,500,501,16,781,502,502,502,501,800,500,734,503,500,501,649,503,503,649,501,502,502,500,800,800,16,502,649,501,504,501,649,649,965,649,501,502,501,502,649,649,649,16,501,502,500,649,502,501,500,503,800,502,800,502,894,501,503,501,649,503,649,501,504,16,501,500,649,500,854,502,282,503,649,503,502,500,503,500,800,502,500,649,649,501,649,800,500,502,502,649,282,800,408,800,503,649,502,503,503,503,500,319,16,282,503,282,503,282,503,673,16,502,502,500,207,501,501,503,501,282,649,501,501,705,800,373,502,500,282,501,705,504,501,649,649,501,502,502,500,503,649,16,500,16,502,502,800,503,501,502,365,503,16,500,500,800,902,649,501,16,503,431,800,649,800,944,500,502,547,800,800,501,800,501,502,976,500,649,502,501,500,282,800,16,579,500,503,649,649,800,162,649,16,501,282,502,500,800,502,503,500,812,503,649,672,649,800,800,60,649,649,649,800,173,502,500,501,705,501,649,107,430,282,790,501,649,502,501,282,649,649,502,792,502,649,665,500,500,500,54,502,502,501,500,800,503,282,500,502,500,502,282,501,503,800,103,500,282,800,500,16,503,503,503,16,863,800,800,282,282,503,500,282,500,133,649,503,504,800,800,107,282,500,502,502,503,800,502,649,503,282,500,800,800,649,282,503,501,500,564,501,504,502,128,408,503,502,282,500,744,800,500,503,665,502,502,501,502,500,503,501,500,501,502,649,501,502,800,282,500,205,649,500,800,16,501,500,503,501,500,500,649,800,500,800,800,503,501,501,103,649,501,503,649,186,500,282,248,153,800,501,800,33,800,501,539,540,501,145,503,878,171,500,800,500,502,500,800,500,649,500,503,503,649,649,503,501,504,800,500,649,500,501,500,649,500,800,649,503,500,16,502,501,502,800,334,73,282,500,501,503,500,834,103,800,500,649,503,501,739,228,636,502,502,649,503,501,649,649,282,649,649,99,501,282,800,503,649,500,500,755,649,500,800,800,103,503,282,800,157,800,282,500,800,649,502,501,607,503,383,503,649,282,502,502,501,501,500,649,500,501,282,800,500,649,502,362,535,649,454,800,503,649,503,501,500,282,800,571,501,990,500,502,502,500,500,501,649,800,16,502,504,161,500,503,649,649,649,502,649,518,426,500,800,502,502,282,254,800,649,800,800,16,500,649,649,500,503,800,800,501,503,503,649,500,503,500,501,500,501,649,501,282,501,502,800,501,282,501,500,16,649,500,502,501,800,503,16,503,501,502,772,500,649,16,649,282,649,649,503,800,506,501,500,504,501,551,649,503,800,282,432,778,500,107,502,282,716,501,501,501,503,800,649,503,501,556,501,501,502,500,503,500,800,16,503,800,649,282,447,501,500,364,649,500,500,501,16,501,500,501,302,913,500,501,500,501,800,502,502,800,500,800,502,800,649,503,500,500,980,16,649,502,502,879,649,649,800,500,649,500,649,800,800,503,800,504,502,503,282,500,500,501,649,501,528,800,649,503,501,282,502,282,649,800,16,501,500,800,503,9,649,649,800,502,800,500,500,501,282,501,502,905,501,800,501,503,504,500,500,501,101,504,501,16,649,501,503,800,282,503,501,598,503,503,501,501,800,503,282,501,800,282,501,800,649,800,800,800,503,501,502,503,503,504,282,800,800,503,649,282,649,126,560,501,16,500,282,503,501,16,503,502,800,103,649,502,855,502,649,282,501,800,275,503,502,800,282,16,16,500,800,282,649,503,282,503,282,572,502,649,503,649,500,71,789,501,500,501,649,502,282,800,800,503,503,282,282,500,501,503,282,649,500,649,503,502,503,649,502,503,649,500,500,800,501,103,649,503,503,22,502,500,501,500,503,800,503,500,649,501,800,500,501,649,501,501,500,500,501,501,16,800,503,269,503,800,503,807,16,500,500,502,800,649,649,500,501,501,800,500,501,502,16,714,942,649,282,500,503,800,503,649,800,733,649,500,800,501,806,649,800,503,16,504,282,627,500,800,502,503,800,800,502,649,649,800,503,501,649,501,692,501,649,503,501,501,502,800,501,500,649,503,501,669,715,107,800,800,504,503,255,800,502,282,484,649,716,649,503,501,502,282,649,500,500,367,800,743,502,649,994,502,500,209,500,500,18,714,282,501,503,503,49,503,591,500,500,503,502,500,60,502,501,649,502,800,503,502,282,502,800,41,503,800,649,482,503,649,503,503,528,502,501,502,501,649,500,800,502,649,501,864,500,649,503,800,500,949,306,649,282,502,921,800,199,800,500,649,22,502,502,16,500,500,502,500,504,282,502,500,800,500,649,501,503,800,688,503,800,649,800,503,502,501,502,501,813,500,800,649,649,649,387,500,649,444,649,800,500,503,282,500,175,500,503,500,800,500,649,551,800,501,800,502,500,534,307,502,800,500,282,502,500,282,649,503,502,649,649,16,800,500,605,501,649,500,649,119,501,376,800,502,282,501,649,800,502,501,170,500,16,800,800,800,649,800,501,502,501,503,623,501,1000,503,649,282,502,501,800,501,649,503,502,500,649,502,545,800,649,829,800,103,500,500,16,501,800,800,500,503,502,502,649,649,800,649,649,502,800,502,500,282,649,800,649,649,16,500,500,501,500,500,800,649,502,503,502,500,500,503,500,301,503,502,800,503,282,502,501,649,502,103,503,507,500,649,503,649,500,649,586,16,500,727,282,500,333,503,503,502,503,503,166,500,502,503,503,800,649,649,500,649,649,500,282,503,649,16,503,503,503,501,501,502,502,800,500,16,502,501,800,501,649,282,501,649,282,702,649,501,500,501,849,806,350,16,501,800,649,502,649,503,465,800,502,649,705,503,502,500,502,800,415,502,649,649,501,238,800,503,862,502,649,800,800,649,503,282,800,502,502,649,149,503,503,500,501,503,503,800,500,714,649,16,502,502,16,502,649,107,107,282,501,503,502,503,503,16,649,800,624,800,16,957,800,649,503,649,800,282,503,649,500,107,501,500,649,503,501,500,649,502,500,500,502,928,500,649,502,800,503,649,500,502,16,282,501,500,893,502,500,502,503,649,503,649,800,649,500,800,502,259,502,502,16,800,500,800,504,649,232,16,649,503,501,502,282,502,503,501,800,800,503,501,501,649,503,504,500,501,500,502,502,375,500,103,500,502,65,500,503,282,501,500,800,282,800,762,649,282,847,503,282,500,503,502,107,503,501,503,501,834,495,800,500,800,500,674,501,800,503,107,502,282,649,503,649,800,282,282,800,175,502,282,500,800,649,531,501,220,500,501,500,502,502,103,366,500,503,282,411,179,800,800,500,282,652,501,800,800,797,502,502,504,800,502,732,501,501,501,800,501,884,178,500,649,100,503,649,503,128,800,502,631,501,500,800,501,501,502,951,800,649,500,503,503,77,502,504,649,649,649,504,503,503,503,800,500,920,16,282,502,973,16,800,501,800,649,500,604,795,502,502,800,500,500,504,500,501,501,649,503,800,800,636,503,618,503,649,500,282,242,500,503,179,282,649,582,502,502,502,501,719,500,135,502,800,277,501,503,501,502,502,649,649,16,501,282,503,800,800,504,264,500,738,500,16,503,501,800,500,649,800,59,503,800,501,502,501,380,800,800,503,501,649,649,504,501,282,649,500,649,16,500,800,503,502,500,501,800,500,418,500,501,649,501,16,510,503,649,800,649,502,502,502,501,282,800,800,501,503,282,282,503,378,501,676,800,800,501,800,501,503,503,86,500,503,800,800,800,502,800,501,280,800,501,500,501,800,745,502,503,16,148,501,501,501,503,500,122,502,800,282,503,501,502,502,282,503,16,503,501,503,502,649,282,503,282,357,649,800,878,618,963,501,829,649,502,16,16,504,501,502,501,502,282,502,502,649,501,800,504,502,800,500,502,503,282,800,800,282,500,800,502,500,108,16,501,800,503,649,503,501,800,502,282,116,503,503,502,502,16,649,282,16,282,282,649,501,935,461,504,504,504,107,502,502,649,240,649,501,790,503,800,649,371,649,649,500,282,282,282,649,501,649,282,394,503,606,504,502,500,337,500,503,649,500,503,800,500,800,649,501,649,503,282,800,503,500,282,649,800,800,502,649,502,16,282,800,500,502,649,502,800,649,800,503,649,800,137,649,503,503,705,500,502,649,503,800,800,282,800,501,501,649,502,649,503,501,500,502,800,502,501,503,502,502,500,502,501,502,501,649,800,16,649,501,718,800,500,500,501,649,800,800,936,800,800,503,800,500,502,500,286,501,649,282,649,649,500,800,284,649,282,500,694,503,800,597,501,504,502,649,501,357,504,800,503,503,502,501,502,800,800,500,52,503,500,649,800,504,639,800,800,503,163,649,500,800,649,649,501,16,504,501,502,502,502,502,800,501,500,649,888,500,503,252,504,216,501,502,800,649,503,807,649,502,501,500,502,649,649,323,649,800,500,501,649,502,500,500,103,501,649,670,503,296,380,475,502,990,649,502,649,503,502,649,16,503,649,502,500,503,800,501,501,500,800,502,59,893,649,500,285,503,502,800,167,503,501,16,649,649,804,504,649,503,740,800,782,800,500,503,800,502,16,37,649,649,16,503,649,501,500,500,808,282,500,503,800,800,500,800,649,500,408,500,649,502,503,800,800,680,503,502,649,503,501,16,16,503,503,282,800,107,502,16,502,501,501,503,502,500,504,503,502,107,503,800,800,501,800,16,919,500,501,16,503,504,649,500,649,502,800,503,228,282,500,649,536,503,503,649,503,649,500,502,501,282,501,54,649,800,282,500,16,502,800,502,800,649,501,800,501,503,503,837,502,282,282,778,503,800,800,151,503,501,501,704,649,503,152,500,649,502,503,649,501,502,16,800,500,363,800,649,502,500,496,649,501,995,364,500,500,502,800,501,501,500,502,649,503,500,503,503,649,212,504,282,179,282,500,502,57,649,502,831,503,649,688,501,501,503,500,502,282,502,503,502,501,282,800,282,501,428,504,502,800,502,282,502,500,733,800,500,502,504,649,649,661,613,649,502,502,649,503,503,800,845,503,501,503,502,282,649,649,502,502,16,500,800,282,501,282,502,503,16,500,500,502,594,495,800,501,374,800,800,107,282,504,501,502,649,500,501,503,738,502,800,16,169,503,759,500,800,532,282,500,282,501,800,503,500,800,504,503,649,500,800,107,501,500,649,503,165,649,503,820,800,502,800,500,649,160,800,500,518,282,649,502,800,649,649,501,16,502,649,502,502,500,800,503,800,800,649,282,649,502,502,649,503,501,501,800,649,504,649,16,282,282,138,649,458,503,649,502,502,800,800,503,500,282,800,502,501,502,183,365,282,502,502,16,684,282,649,688,282,502,501,16,501,800,16,502,800,800,500,503,503,502,800,502,500,800,504,800,800,386,800,500,282,501,800,502,501,649,504,911,503,503,500,500,500,500,705,800,502,504,501,501,800,800,282,504,649,800,503,503,501,170,800,501,800,501,641,275,502,502,980,502,965,786,503,501,800,282,501,502,561,500,574,503,800,501,502,501,282,166,502,800,282,800,504,503,503,502,800,800,500,501,500,500,502,710,649,282,282,440,1000,501,800,502,502,502,502,649,649,649,282,800,816,504,405,502,502,503,16,912,502,502,16,500,500,502,500,500,504,649,800,532,503,503,503,800,800,649,800,649,501,16,502,502,800,501,500,501,493,500,800,503,649,36,769,649,501,502,502,503,637,507,800,282,287,502,502,502,500,649,449,500,852,649,503,503,649,649,531,502,501,503,800,500,16,16,500,503,503,649,800,800,649,649,502,503,501,501,649,503,502,501,503,502,800,16,16,800,502,503,503,649,503,649,503,503,649,356,501,649,503,501,282,994,504,500,502,282,502,501,500,502,649,502,501,649,502,107,649,503,795,503,16,649,500,502,16,559,649,502,282,503,649,504,800,503,282,745,920,501,738,649,503,599,15,649,503,503,649,800,502,503,282,503,649,501,500,502,800,800,502,800,501,554,649,501,800,503,649,800,282,500,282,502,800,649,502,503,503,503,715,500,756,649,282,649,502,763,502,282,500,501,800,500,800,501,501,502,500,501,504,500,500,502,16,800,503,282,649,800,500,502,503,459,577,649,282,649,800,500,800,503,807,501,502,282,501,503,501,501,649,501,800,501,649,800,211,649,502,800,501,500,500,337,282,502,413,501,649,502,501,649,502,501,502,501,800,649,903,282,503,649,500,649,502,512,501,503,503,501,800,649,800,502,501,107,503,800,800,800,800,500,800,501,649,800,649,500,817,800,800,501,502,501,503,16,501,502,75,649,501,649,16,103,311,502,503,800,502,501,880,502,475,503,800,649,649,800,503,500,282,371,649,800,500,503,973,500,502,502,800,800,501,16,500,502,800,503,649,800,500,502,504,503,500,501,502,502,503,502,500,282,503,502,355,649,107,503,649,914,727,800,503,800,649,282,676,724,500,502,10,800,500,502,800,649,502,503,282,800,34,245,502,386,501,282,504,500,800,500,800,649,282,649,800,800,182,503,502,649,500,252,649,800,649,503,649,502,501,503,500,502,649,502,649,516,500,502,502,500,649,16,500,501,200,502,57,282,16,282,503,649,503,502,501,770,744,16,502,503,502,573,501,502,503,503,232,502,282,51,500,270,16,500,649,818,202,502,346,502,501,662,92,503,500,78,501,649,503,786,256,969,501,879,800,107,502,555,501,649,502,502,649,16,500,103,502,649,174,501,503,500,282,502,502,649,649,800,503,649,800,501,501,474,503,502,800,501,649,500,502,502,500,282,649,500,282,649,649,503,107,649,649,502,800,800,848,110,649,502,502,282,563,501,128,503,282,649,800,644,16,800,501,62,502,503,16,529,249,107,649,503,668,649,502,503,649,649,503,588,500,800,501,502,646,500,328,282,134,649,504,649,107,282,500,649,800,503,649,649,502,520,16,394,501,649,649,800,578,649,504,502,282,500,417,800,800,500,790,502,649,649,503,573,83,503,16,503,182,503,501,503,16,344,503,501,282,504,16,502,800,800,649,800,502,649,500,800,282,502,501,800,502,282,502,503,978,42,9,501,502,282,800,885,282,503,649,503,282,16,800,501,16,282,512,513,503,649,800,503,649,649,649,501,800,548,800,649,282,800,501,649,501,800,800,502,800,282,502,800,500,800,16,501,16,500,500,649,800,500,800,282,503,500,807,477,502,282,800,501,502,649,500,502,500,800,502,649,800,800,282,502,501,256,649,829,503,500,100,16,502,502,326,504,502,282,649,107,501,649,282,500,504,502,501,800,502,282,497,504,800,800,103,502,501,649,483,659,500,501,502,107,501,501,37,500,953,800,800,649,107,16,501,501,500,800,501,282,800,800,621,500,501,649,649,502,4,313,282,61,502,282,502,649,58,429,501,324,800,501,500,503,800,502,411,649,800,500,502,103,723,501,503,649,649,504,649,649,649,649,502,795,501,502,16,16,16,800,649,649,649,504,502,129,501,501,649,149,501,726,501,501,500,502,501,527,504,500,282,649,781,282,501,471,501,756,649,282,800,800,500,16,107,560,501,503,649,800,16,649,500,503,502,500,144,426,649,16,504,649,577,282,503,649,107,800,800,501,282,502,800,503,404,501,501,649,503,500,504,71,501,500,16,501,500,501,502,649,503,503,214,649,800,503,500,503,800,502,503,501,800,649,502,107,502,16,500,800,360,500,500,800,502,190,502,884,282,501,800,503,501,501,649,503,503,206,807,282,107,282,502,529,503,649,16,800,649,390,502,649,16,649,503,503,103,504,649,800,764,649,503,282,800,501,807,800,800,500,800,502,500,500,502,501,501,503,500,282,503,800,800,800,501,103,942,282,612,800,800,502,501,502,800,649,800,16,501,800,282,800,649,502,503,822,872,501,500,649,501,501,567,502,282,649,501,649,649,501,517,937,649,800,800,503,502,501,649,503,501,502,501,503,282,704,501,503,500,474,235,800,282,500,503,550,649,500,501,649,500,768,500,500,502,649,16,503,282,502,500,502,502,284,649,800,501,503,500,800,502,873,870,649,952,500,502,800,103,457,16,800,500,883,800,500,500,500,539,501,502,503,875,502,282,107,500,649,503,644,649,502,500,112,502,282,502,289,152,500,500,649,503,503,649,800,513,16,503,503,340,501,649,501,649,503,414,800,936,500,923,500,503,500,649,16,503,501,800,500,502,649,649,501,500,503,649,503,500,775,945,107,501,649,502,649,500,501,501,500,800,204,470,504,502,800,16,503,503,500,502,501,432,502,800,317,800,502,500,48,684,800,282,501,502,16,649,392,501,501,800,500,502,500,376,520,502,649,800,502,649,502,503,502,502,503,800,501,503,503,822,501,501,649,501,54,502,16,500,995,800,503,282,501,501,500,238,421,282,282,501,500,553,55,50,500,502,501,800,500,800,522,503,501,500,503,503,944,500,649,503,503,705,353,282,500,59,649,502,421,501,503,501,720,500,649,500,800,282,395,502,504,649,503,800,503,503,500,649,500,649,282,649,501,501,800,501,103,107,500,500,649,649,503,282,503,503,649,501,502,502,16,800,436,916,800,879,701,500,16,282,503,501,503,503,502,800,500,500,750,649,501,800,649,800,501,500,464,500,502,282,501,500,500,97,447,501,503,503,503,649,229,352,649,106,502,500,501,649,800,649,107,503,649,103,503,800,800,282,76,282,282,504,503,504,282,501,800,502,503,502,649,500,502,800,501,979,503,365,179,500,501,800,649,800,282,649,500,282,439,705,649,373,649,6,840,504,800,500,649,500,800,503,503,800,501,282,500,800,500,501,502,502,502,282,502,16,165,501,649,500,217,503,847,502,800,16,501,502,649,503,500,503,1,16,503,649,503,500,503,503,649,501,503,502,502,503,16,502,503,16,736,649,800,501,502,503,502,502,500,112,501,500,502,752,649,649,704,107,500,501,500,502,503,501,501,800,500,649,501,502,502,502,131,419,502,649,649,839,649,500,649,501,100,502,649,282,501,800,503,649,503,502,282,282,501,500,800,502,500,800,503,282,500,282,502,800,502,502,503,282,500,282,800,502,503,503,649,502,16,500,800,649,649,282,282,18,501,800,503,545,500,800,649,266,503,16,386,649,502,503,503,649,543,500,503,501,503,282,649,502,800,501,282,282,503,502,800,500,503,587,282,502,310,501,282,500,649,223,503,502,997,501,501,649,282,282,906,96,103,503,501,502,649,501,800,649,501,502,501,502,225,649,649,503,501,501,649,502,807,501,501,13,770,501,800,649,501,501,502,502,501,282,503,503,503,500,59,282,649,282,16,502,722,282,649,501,500,648,234,503,500,282,800,500,800,500,503,800,935,501,503,502,107,800,16,649,800,249,500,16,800,649,500,503,800,16,282,501,649,649,649,502,502,800,501,501,800,503,16,800,800,501,649,282,502,800,500,502,503,800,502,800,503,649,501,649,503,649,809,800,500,501,649,500,503,800,831,501,649,501,500,500,322,501,503,649,500,800,501,869,800,649,649,16,502,501,282,282,282,502,503,501,500,501,501,119,649,800,800,282,38,282,517,503,641,282,503,503,781,501,800,501,501,16,901,800,500,649,501,649,16,649,800,103,197,649,793,282,177,16,502,282,998,501,502,501,500,282,504,16,800,800,641,502,501,503,66,16,500,502,171,472,282,497,649,500,503,500,502,649,503,503,502,807,405,503,503,502,764,501,16,649,800,649,649,724,107,501,500,649,16,502,800,649,236,219,800,500,500,500,800,501,503,501,503,19,850,657,500,501,503,800,800,500,263,49,500,502,800,800,649,502,649,503,502,649,262,500,800,501,800,800,503,800,127,649,503,500,502,502,649,649,800,500,500,940,367,351,500,649,500,500,282,501,850,501,49,501,649,16,503,800,500,501,800,800,800,501,107,502,503,282,282,503,502,501,500,649,295,973,267,800,503,649,500,649,649,502,500,502,502,649,502,282,649,649,500,500,800,800,503,501,649,800,502,649,480,503,500,500,500,503,417,494,705,501,800,649,800,502,649,282,282,500,502,503,500,596,604,665,228,501,502,649,649,800,860,282,649,503,501,649,626,166,501,503,502,861,502,337,16,649,282,927,649,500,501,909,308,800,282,500,16,649,377,501,282,500,500,498,800,649,503,800,503,800,503,78,501,301,649,502,501,783,503,503,759,16,649,800,502,649,649,500,502,513,502,501,16,503,500,502,500,282,503,502,500,179,800,557,503,503,503,502,500,16,649,502,320,503,503,649,800,503,800,503,649,503,649,503,501,503,501,16,500,649,426,501,503,197,501,501,16,800,800,800,502,503,504,800,502,500,500,16,503,800,282,503,502,501,800,503,500,501,748,501,503,502,501,503,552,503,503,500,282,500,502,501,942,501,502,501,800,649,282,779,710,503,649,800,501,16,649,282,649,278,649,69,649,649,501,501,649,500,649,649,716,188,502,501,584,206,800,800,16,504,700,503,500,649,503,500,502,501,800,500,502,502,800,500,282,728,500,800,692,502,282,502,503,504,86,800,800,282,649,503,500,501,236,261,649,649,282,502,16,59,502,503,800,282,502,282,649,649,800,649,649,649,503,649,503,500,649,503,500,500,500,502,282,502,649,500,500,976,503,155,500,502,282,502,502,502,282,219,502,649,282,649,800,500,500,148,501,500,502,649,800,502,501,501,282,649,501,500,501,800,500,502,504,649,501,649,500,282,500,800,502,501,800,500,649,800,500,503,800,504,649,800,649,800,513,649,503,502,502,649,502,501,501,502,455,649,800,522,16,500,500,531,500,500,800,502,800,800,500,913,500,761,504,503,501,502,800,410,800,800,501,649,501,807,502,282,649,502,503,800,501,503,363,649,487,800,282,649,800,500,500,504,502,501,503,504,500,649,649,431,503,454,500,800,501,800,500,503,503,500,649,503,800,503,500,503,107,889,107,649,649,503,503,730,500,504,282,502,800,503,800,649,501,500,649,500,502,501,503,500,384,503,16,502,500,500,503,437,282,317,800,654,282,500,502,919,503,501,500,503,502,649,649,190,503,282,220,800,501,60,800,649,282,800,107,649,282,282,502,502,282,282,503,503,800,500,501,503,282,504,16,800,503,504,503,800,501,800,501,500,503,503,905,358,16,107,420,282,501,282,502,500,800,500,570,649,502,800,800,800,502,500,282,649,500,649,500,503,800,500,693,800,282,800,800,503,500,500,501,649,501,500,991,800,501,800,501,500,502,500,503,502,649,501,282,282,503,501,649,649,494,800,501,800,56,500,282,103,174,282,501,503,800,282,502,501,800,649,503,649,143,504,800,500,649,649,649,500,500,503,501,649,503,649,503,500,500,500,649,503,649,503,690,502,16,500,16,500,503,503,502,22,340,501,503,500,800,649,649,502,800,16,501,681,500,649,503,619,603,502,500,719,502,282,500,502,649,800,271,282,501,282,503,501,501,500,800,318,501,504,649,501,143,50,503,500,503,16,800,131,500,503,263,503,500,800,282,502,649,535,282,501,649,107,502,800,501,503,991,649,503,649,649,944,566,503,649,282,502,502,501,800,503,649,800,980,649,503,649,502,502,502,282,547,800,501,500,878,649,800,103,503,649,502,800,503,649,502,800,800,800,502,502,501,503,282,656,500,649,501,107,649,649,915,16,241,649,904,515,649,500,649,800,500,500,501,500,282,649,502,800,649,282,503,800,501,16,502,500,282,282,503,649,500,800,127,503,800,503,649,649,501,503,500,503,31,502,649,282,732,502,500,800,500,502,800,649,800,800,282,850,503,800,503,502,649,501,649,501,503,500,282,503,282,502,984,502,503,649,503,282,800,500,121,500,501,649,501,634,282,649,500,501,501,504,501,282,649,800,503,649,501,16,649,213,215,501,42,501,800,500,500,649,503,503,282,16,16,16,500,168,503,501,649,503,649,502,282,501,649,649,800,503,500,503,314,501,649,800,504,800,996,94,16,503,500,502,503,649,501,502,500,800,501,502,502,649,282,800,501,502,282,16,503,800,503,500,502,503,501,103,501,346,107,500,501,282,503,158,503,500,500,500,649,501,501,503,674,800,800,16,403,501,649,503,503,503,43,502,503,649,168,503,500,282,522,503,800,502,503,502,501,503,684,501,800,500,800,649,503,502,500,501,800,503,649,282,501,502,282,503,501,500,649,649,343,500,501,504,649,107,501,649,16,16,503,503,649,502,282,649,443,864,438,769,800,500,680,501,234,800,502,800,649,500,16,500,500,649,649,649,649,501,649,501,16,500,502,649,502,282,725,502,501,588,16,501,282,282,500,16,503,500,500,649,500,502,649,501,800,609,502,649,282,503,501,500,526,503,500,282,649,19,800,153,800,501,103,649,502,800,282,500,800,500,502,503,649,500,800,501,503,502,501,776,277,800,609,502,282,503,500,501,800,501,649,503,649,503,800,649,504,504,649,502,16,380,503,188,502,16,649,503,500,501,501,649,478,503,500,796,501,501,917,500,800,502,649,282,501,282,16,502,503,649,649,800,500,414,501,800,282,322,502,373,503,502,501,503,500,500,800,500,863,148,282,500,503,301,502,522,503,16,800,649,649,500,503,503,649,649,282,503,282,282,502,504,500,800,282,425,929,503,501,502,500,800,649,502,649,282,584,284,502,434,502,501,502,243,503,501,382,649,501,282,500,649,103,282,452,500,503,503,800,503,503,800,649,16,501,258,501,649,800,649,501,502,533,500,503,139,504,510,282,800,668,500,194,800,502,800,503,502,500,503,501,502,502,500,504,501,502,16,649,649,649,501,501,502,282,500,500,503,502,500,649,503,502,602,800,502,500,649,500,501,502,649,503,503,859,800,16,504,503,16,16,910,701,502,501,649,502,649,500,503,502,800,479,503,500,503,501,842,500,503,16,282,649,800,282,503,503,500,501,503,502,800,501,503,649,649,504,502,800,649,649,649,800,581,410,649,501,282,649,500,800,617,503,500,495,649,503,502,282,502,800,500,504,500,501,565,800,503,500,502,144,800,800,657,502,502,501,705,503,501,800,500,501,501,502,502,502,649,850,503,502,503,649,522,800,503,834,507,800,566,500,344,649,502,502,502,501,710,800,502,500,500,500,501,503,800,502,800,502,649,500,800,800,800,502,51,501,649,649,649,503,282,502,503,503,107,502,282,500,502,800,501,503,504,547,501,501,502,282,649,800,800,800,800,649,500,500,501,350,502,282,649,800,800,496,504,806,502,501,800,835,501,71,500,317,800,649,649,175,500,500,500,502,800,275,107,800,649,16,500,800,501,500,500,503,649,501,107,501,649,503,800,282,503,800,501,392,504,502,800,500,282,16,501,807,503,272,800,800,16,649,500,502,649,503,649,631,502,500,503,649,190,501,186,227,649,503,800,502,501,282,649,800,502,501,500,800,502,500,680,649,800,649,502,649,503,503,501,503,800,282,800,800,502,800,800,800,800,503,649,649,800,16,501,36,800,775,282,501,52,527,503,503,501,649,800,500,501,500,500,282,500,800,592,282,500,502,800,503,500,800,800,503,503,649,502,649,800,500,282,503,500,800,649,501,649,800,501,649,800,800,800,503,800,501,502,99,501,500,502,501,649,800,501,282,649,8,501,502,503,800,800,501,800,501,503,282,800,500,501,528,503,16,503,800,649,16,649,987,16,503,503,502,649,649,501,500,502,800,282,502,282,503,503,800,800,365,503,649,800,501,502,649,503,503,649,502,800,31,500,142,800,500,282,503,800,502,502,939,649,282,282,503,502,502,800,503,800,503,500,800,282,649,500,800,18,500,501,504,649,800,800,649,258,649,503,502,500,502,425,800,800,800,500,503,16,500,500,800,500,649,800,649,537,501,800,649,800,189,800,418,503,974,527,855,649,649,502,800,649,649,503,503,502,503,501,500,500,500,282,282,649,500,501,501,649,504,502,649,800,501,103,503,501,500,800,500,504,649,503,649,649,500,750,649,800,282,501,500,503,500,800,500,800,501,282,800,503,649,500,503,503,649,501,800,500,627,459,649,503,649,282,504,800,800,303,322,500,501,16,800,501,501,800,908,800,500,649,502,501,502,501,502,282,649,500,103,800,28,500,502,501,500,649,501,503,501,500,502,552,502,800,282,649,800,779,16,501,16,501,503,800,800,502,773,800,500,649,502,372,800,502,503,394,500,649,800,501,649,800,649,800,800,649,500,147,500,500,501,649,800,501,649,501,876,500,503,502,502,649,501,32,649,502,502,502,969,649,800,501,500,502,501,500,118,501,503,282,191,501,800,800,282,282,503,649,502,503,506,500,649,500,649,282,17,649,282,503,501,503,800,503,501,500,503,649,282,236,532,800,502,649,915,800,800,503,282,503,604,503,502,649,800,107,503,500,500,501,502,800,500,501,500,607,800,282,502,501,501,372,800,16,502,501,501,800,502,794,800,500,500,855,800,502,501,503,649,870,502,282,422,649,649,800,501,282,503,800,502,503,800,501,649,649,503,501,800,800,800,800,503,502,800,500,503,649,649,416,502,500,501,39,800,800,807,500,503,503,502,503,503,282,501,500,502,502,16,649,282,501,800,500,501,503,502,335,282,500,649,503,502,503,649,800,501,649,503,649,649,503,501,501,500,800,649,800,206,800,16,653,500,649,847,800,500,800,800,500,503,500,502,649,503,503,501,500,951,501,800,500,16,503,800,649,16,800,503,500,16,800,651,500,497,504,500,211,649,503,282,282,500,565,282,502,503,502,850,123,649,800,649,649,649,282,501,501,282,649,649,501,500,800,502,502,588,502,503,282,500,649,85,649,282,364,502,503,800,303,16,282,502,504,502,500,500,773,316,503,282,501,501,282,317,878,503,501,800,282,502,800,501,800,649,282,503,504,503,500,503,800,501,504,278,501,331,800,649,502,800,503,502,16,800,502,501,800,16,500,500,504,500,501,705,502,502,503,503,500,500,502,327,502,505,503,431,649,503,502,617,969,282,501,649,649,501,125,504,649,503,502,440,502,649,502,740,776,502,503,500,503,649,103,504,649,500,501,800,503,107,282,500,500,800,501,800,500,438,503,502,500,502,502,501,259,16,503,316,503,649,503,503,471,503,649,502,649,207,800,503,501,649,502,500,502,511,503,282,800,282,649,504,503,501,502,983,500,502,800,503,501,470,500,501,799,503,503,501,500,800,649,649,500,501,503,16,503,504,503,161,501,500,800,500,649,800,649,649,800,656,800,503,446,502,649,500,198,800,503,503,800,16,282,501,800,16,504,800,500,503,398,832,502,436,501,501,500,800,649,282,282,501,649,296,500,501,800,503,649,649,668,501,502,503,502,500,503,500,800,502,374,800,282,500,282,16,107,502,219,279,504,16,649,502,282,451,984,503,503,636,500,503,500,800,502,20,503,500,501,373,503,502,503,501,800,500,584,503,500,504,175,502,11,502,649,500,649,502,503,500,591,800,649,649,503,482,107,503,585,649,501,52,501,501,44,649,503,107,503,503,267,107,501,503,800,800,282,721,282,282,16,501,935,649,504,649,649,649,649,800,282,800,502,649,282,253,703,500,649,501,503,107,649,502,649,242,18,501,649,16,501,502,503,503,800,862,649,649,503,501,800,500,950,500,503,54,503,500,16,502,502,501,649,502,503,649,502,502,195,800,500,500,503,501,500,862,800,282,502,502,649,649,670,501,347,800,500,500,503,503,16,594,500,502,502,282,800,501,246,500,649,502,502,500,800,502,649,800,303,293,800,800,503,282,503,800,16,16,501,500,503,800,502,503,686,503,501,501,500,649,185,500,502,800,800,282,500,500,800,500,503,500,282,282,649,16,649,504,649,73,800,16,501,800,649,500,501,649,800,282,501,800,500,800,502,282,594,282,649,502,504,107,827,500,649,503,502,800,500,649,501,501,500,800,649,538,503,649,500,502,503,800,800,504,502,501,649,501,503,800,282,500,282,282,800,500,169,649,503,800,649,81,501,282,649,649,282,649,846,856,987,500,501,502,501,649,109,500,503,500,487,282,649,649,500,501,649,527,503,500,501,503,800,649,800,800,503,649,800,503,502,501,500,800,500,800,501,500,502,503,649,503,502,649,500,107,500,800,800,800,649,490,501,503,16,57,649,503,649,500,16,649,500,500,649,503,282,502,501,282,502,503,649,500,282,16,800,500,500,975,503,502,500,503,282,649,502,503,649,16,649,501,500,502,500,442,638,501,649,800,500,502,501,800,649,282,503,800,684,502,59,501,500,500,503,649,282,82,500,501,504,501,649,501,282,502,502,503,282,800,502,500,482,503,502,501,16,502,800,649,500,800,649,649,649,502,500,500,501,500,282,354,282,502,500,503,500,912,503,500,501,649,482,503,649,501,649,95,282,503,500,500,502,88,649,500,84,503,649,599,800,282,477,289,742,502,502,501,16,649,613,800,500,237,800,16,502,500,500,503,503,16,800,501,800,503,501,653,978,800,502,500,503,503,282,500,800,502,502,649,800,649,800,107,503,107,503,500,649,500,181,500,649,500,503,503,503,282,800,982,218,503,282,502,502,502,800,649,282,649,800,297,504,800,800,649,502,649,502,501,581,501,916,501,502,501,840,800,649,502,344,711,649,623,800,322,649,800,502,503,649,503,500,649,595,501,649,699,321,649,649,800,502,299,503,800,500,501,323,649,501,649,716,800,649,649,753,763,400,800,500,649,649,282,501,500,503,502,503,501,502,502,500,503,500,502,282,500,649,503,800,502,611,800,800,282,501,403,503,503,501,705,649,209,500,501,282,800,502,649,500,170,501,503,651,800,501,107,282,282,979,649,705,502,800,501,503,844,500,665,500,502,504,800,501,502,753,800,690,705,798,634,749,501,282,649,501,500,649,800,500,504,503,501,503,885,501,649,501,72,16,16,649,503,282,663,800,502,501,501,501,203,649,500,501,278,500,282,800,501,800,500,350,872,502,103,502,500,500,800,800,649,282,502,800,649,501,282,163,503,501,243,800,800,501,500,501,664,800,501,500,501,649,45,282,500,500,16,649,503,503,500,649,502,649,16,502,502,16,16,503,501,800,503,649,502,282,800,501,16,500,800,502,860,800,800,501,503,503,502,491,500,103,501,649,501,16,649,649,649,800,800,351,282,502,503,503,649,149,502,503,637,502,500,649,500,16,807,800,337,649,502,502,501,500,705,500,800,504,501,24,649,649,282,503,502,501,500,503,282,503,502,800,282,500,548,501,848,502,800,649,500,210,500,800,436,649,500,649,620,500,501,565,504,502,503,501,503,503,282,282,503,503,500,502,282,503,503,503,500,501,649,282,110,279,16,649,857,800,800,282,501,426,502,500,502,501,649,282,102,649,502,282,500,16,500,742,649,502,502,503,501,649,649,503,649,502,502,14,501,800,502,503,501,503,800,771,16,618,748,501,800,800,106,800,107,501,503,500,107,195,502,492,649,800,503,502,500,501,503,502,503,800,500,504,282,502,502,502,800,649,502,501,649,502,431,502,649,502,649,502,502,800,501,649,649,649,107,501,603,501,500,503,705,501,800,503,501,800,102,418,940,282,79,649,649,804,501,282,287,502,501,282,500,501,571,500,501,649,282,649,503,501,282,800,743,800,807,810,480,501,502,16,282,501,503,500,800,502,500,958,649,282,502,107,592,107,501,503,649,69,649,500,503,800,503,282,800,282,282,800,502,502,503,800,501,649,800,504,649,649,800,500,504,975,800,800,100,282,107,800,649,503,844,649,649,280,800,502,502,503,503,800,501,885,500,846,501,504,800,282,649,156,282,501,503,502,107,503,97,501,501,800,502,114,282,502,501,503,500,504,800,649,500,16,800,729,502,502,649,800,502,385,282,503,957,500,649,500,649,776,649,800,649,800,503,502,649,504,500,649,282,800,500,503,503,649,501,501,503,649,649,787,649,806,458,503,501,72,500,500,800,33,705,800,502,649,502,500,500,503,649,108,500,649,501,649,800,502,800,501,503,503,501,500,501,503,500,504,502,500,501,502,504,141,503,503,503,502,503,800,16,500,502,501,502,217,503,335,501,502,501,503,501,502,501,831,800,501,503,800,800,406,501,282,503,16,16,800,502,370,800,649,503,500,504,282,649,501,6,503,305,501,649,800,800,503,649,500,282,16,649,282,503,501,500,501,501,282,500,111,800,502,500,500,501,282,972,502,800,503,501,282,502,500,503,800,500,501,282,312,500,282,501,800,502,501,500,800,503,500,800,282,502,800,501,502,503,990,23,488,215,500,107,501,328,800,501,424,503,503,502,503,503,501,502,503,500,502,800,501,500,502,503,502,500,501,649,649,502,501,282,768,705,298,503,649,501,500,649,800,501,502,282,503,166,649,501,649,649,501,282,800,521,500,800,649,504,500,800,504,800,503,501,502,501,800,502,800,649,503,500,503,649,649,282,800,294,502,649,107,502,649,501,503,502,649,800,800,489,303,282,504,698,740,503,800,649,504,500,800,649,649,502,649,501,649,501,800,503,500,100,502,502,502,800,502,565,282,649,500,867,282,800,288,503,502,649,107,502,501,58,282,649,649,504,500,800,503,501,800,501,649,800,16,287,649,649,800,503,500,501,649,504,501,802,500,503,500,649,649,502,500,500,504,282,502,501,800,941,500,503,311,502,649,501,649,282,501,282,502,500,501,279,649,413,504,649,503,503,649,500,503,503,800,501,86,501,503,501,502,256,501,649,282,500,659,503,502,502,744,500,184,501,800,649,16,500,800,23,503,502,282,502,502,800,500,501,649,542,282,503,503,503,649,282,502,500,839,800,503,500,501,503,282,800,501,800,92,504,500,84,649,501,800,503,649,504,501,500,230,16,503,502,500,875,282,938,409,503,800,500,500,800,500,503,800,500,800,503,649,503,800,16,483,103,502,501,501,961,503,501,500,501,116,503,503,800,282,500,502,986,282,501,501,503,503,501,502,800,800,282,502,503,649,502,503,502,800,503,282,67,282,502,649,649,649,649,502,502,800,377,649,800,649,649,502,800,800,800,502,502,16,393,501,649,649,482,503,500,503,753,501,502,503,502,807,500,503,649,107,16,800,500,501,500,800,502,290,550,500,501,502,501,502,503,800,503,800,649,16,282,379,500,502,589,649,503,649,649,215,649,333,501,649,465,502,501,502,500,16,502,501,503,501,501,500,282,503,282,502,649,800,142,674,501,746,800,800,649,503,649,282,501,500,282,16,501,873,502,503,800,649,503,500,500,501,502,649,16,278,282,502,501,649,503,800,502,501,503,501,460,800,503,282,649,800,801,501,503,800,502,500,500,502,501,501,337,500,16,503,500,16,649,504,503,649,501,500,501,500,282,501,503,503,503,502,649,282,800,503,800,692,500,218,501,500,504,649,502,649,500,501,649,503,800,500,502,500,500,500,502,16,501,502,500,282,649,22,502,800,282,282,500,503,709,800,501,649,501,800,800,395,92,900,841,649,649,502,857,500,634,502,502,649,800,348,800,701,502,760,501,800,503,282,649,649,502,800,503,649,649,500,501,503,649,16,502,502,500,502,373,501,502,649,502,502,501,282,503,16,503,500,800,501,500,502,282,649,503,502,503,501,502,282,960,503,501,428,800,416,502,649,800,800,501,649,501,800,649,800,500,502,16,800,538,500,107,501,282,500,649,503,800,502,800,501,503,16,503,504,800,502,502,503,100,649,503,501,649,502,502,649,502,649,800,502,919,501,502,503,501,103,501,800,502,501,501,649,501,501,500,107,800,503,851,500,501,800,502,800,500,649,649,800,800,166,649,502,503,800,282,800,501,502,800,500,501,327,502,380,800,649,501,501,282,504,631,501,800,501,502,282,649,800,501,649,500,800,686,800,800,502,503,685,504,500,649,534,503,500,501,107,503,503,649,282,503,443,887,800,800,500,107,500,501,649,649,869,800,649,800,503,649,775,502,501,500,501,800,649,500,282,500,500,501,819,800,282,282,16,800,500,649,500,649,500,649,502,502,502,542,500,502,503,649,500,502,503,500,200,281,800,500,503,800,800,355,503,282,649,96,502,501,503,503,502,745,500,277,282,500,501,500,649,503,500,501,500,500,16,503,796,790,501,800,501,500,500,649,282,502,500,501,649,857,481,503,503,192,501,282,500,800,501,503,501,500,492,501,503,502,649,503,289,521,500,501,800,500,503,649,500,800,500,500,835,503,800,800,500,800,649,502,328,282,501,649,501,502,502,800,503,501,500,16,503,800,500,649,282,191,800,16,503,800,649,16,283,800,502,649,116,500,500,421,501,282,512,649,518,503,503,500,322,282,502,500,500,500,282,679,501,498,16,16,649,649,649,501,160,513,649,649,503,800,503,800,502,649,39,107,74,282,800,502,500,502,800,502,503,503,500,487,649,501,282,500,501,800,501,500,501,503,800,800,16,500,500,503,800,500,649,649,705,800,500,500,800,800,500,500,877,503,503,4,502,649,503,500,503,502,501,500,649,502,504,501,500,800,500,501,503,502,115,501,649,501,501,504,500,502,800,502,282,649,503,503,282,103,500,501,649,503,501,503,503,500,800,501,649,501,649,500,972,504,16,649,501,500,500,503,500,502,282,473,103,282,502,649,800,981,649,942,800,502,107,501,800,705,500,502,503,503,503,509,649,503,503,282,503,501,503,500,649,503,649,649,500,502,501,800,501,500,800,107,502,501,800,282,502,503,501,649,282,649,501,649,502,817,800,681,502,503,800,649,800,649,20,502,503,503,800,502,649,649,649,201,649,502,212,500,500,503,649,800,503,503,500,500,501,800,420,800,649,503,502,501,502,649,502,649,504,503,649,800,503,649,503,282,502,500,502,504,502,30,500,503,109,16,649,504,800,500,501,16,503,649,501,42,501,936,502,649,503,151,502,649,649,16,503,927,282,800,503,107,500,503,800,501,503,287,502,117,502,502,966,500,503,649,30,500,501,502,737,500,282,501,282,503,504,649,501,107,649,500,500,503,303,16,152,502,294,503,800,17,282,500,502,501,414,979,800,502,503,500,501,649,98,800,282,500,734,800,93,800,503,503,291,500,282,502,800,649,282,500,886,52,500,689,53,501,502,500,800,783,500,501,503,500,166,800,502,800,282,282,383,502,88,503,500,502,107,502,503,500,282,16,503,500,500,282,577,503,800,800,491,800,282,619,503,501,501,911,621,501,649,502,500,502,502,923,503,800,502,503,503,715,503,503,368,800,501,800,502,501,502,967,649,500,800,500,504,282,707,502,503,282,168,649,542,547,501,500,503,502,649,282,503,500,649,501,500,649,500,649,502,800,649,502,282,282,800,501,649,800,346,282,649,503,705,504,99,500,800,502,500,500,649,501,800,800,649,282,800,502,504,503,503,431,926,500,800,800,800,282,903,500,502,500,111,503,564,821,501,501,800,282,503,502,649,503,800,649,519,501,501,253,649,501,226,503,649,502,503,800,502,35,649,503,85,503,500,800,500,649,800,502,500,649,502,16,649,502,282,800,649,503,649,502,503,282,800,482,800,282,180,501,500,501,503,500,501,282,451,282,101,500,16,778,649,978,502,501,115,502,649,501,500,282,502,649,500,800,501,503,649,502,500,503,501,649,502,282,800,501,800,500,503,502,282,503,502,501,649,800,649,501,500,649,649,649,502,649,800,501,649,501,500,500,500,800,617,800,500,786,800,500,502,745,501,503,500,501,503,502,500,500,501,16,500,500,503,502,501,649,502,500,500,800,501,500,16,282,502,800,158,649,800,501,282,20,503,800,154,500,282,649,16,800,501,800,502,500,800,282,843,503,500,800,649,500,503,649,292,649,501,503,649,500,501,503,649,502,649,16,500,342,800,800,500,800,649,649,503,649,15,502,800,800,502,501,501,240,503,502,500,500,500,800,800,649,500,800,504,504,503,500,500,800,542,502,865,500,649,16,918,649,502,348,16,500,502,757,800,282,649,501,658,273,502,500,502,282,649,282,504,500,500,282,40,260,800,282,732,503,649,501,282,282,502,282,800,16,503,800,649,500,500,649,282,500,501,502,503,934,800,500,800,500,502,649,649,800,282,952,501,282,504,800,649,503,500,282,501,502,16,821,501,500,503,800,649,800,503,502,762,503,649,937,282,649,282,502,282,282,282,779,16,500,800,800,649,800,51,501,503,504,502,402,502,501,101,644,800,282,502,504,282,649,500,500,502,282,649,282,500,503,500,16,500,501,800,501,502,282,250,282,501,503,503,503,502,501,500,649,800,501,46,800,649,800,194,800,800,649,282,649,282,500,649,502,501,800,282,800,16,503,502,500,502,368,502,502,503,282,800,16,800,649,800,282,800,502,501,282,649,550,800,502,500,800,502,107,649,769,503,800,500,755,800,503,800,500,502,16,502,500,649,800,502,181,502,282,282,649,502,547,500,503,649,504,503,503,16,502,501,500,439,504,501,282,119,503,282,800,504,503,649,503,282,500,800,878,501,800,800,282,800,501,649,282,503,501,282,439,503,504,502,451,502,649,282,103,649,502,493,500,129,649,501,500,502,688,800,800,501,282,649,282,656,500,502,501,501,501,282,282,800,503,501,649,781,800,974,649,503,502,591,500,500,16,156,516,500,228,503,502,501,503,800,502,501,16,282,502,501,502,500,649,16,700,502,501,800,502,107,649,503,800,501,800,503,282,282,500,500,282,502,800,834,649,331,503,502,16,649,502,649,503,503,47,800,502,503,649,501,503,649,649,207,800,502,503,282,107,800,5,502,354,649,502,501,503,649,502,501,502,502,800,502,500,282,501,800,995,502,501,500,494,502,834,649,16,16,800,501,800,503,649,500,892,700,503,16,800,800,800,879,282,731,502,502,490,649,800,500,282,500,502,16,501,501,649,500,124,501,501,880,16,649,503,502,502,649,800,503,503,500,649,800,503,800,800,504,649,501,501,500,800,500,282,800,502,649,649,501,273,503,800,504,501,502,504,502,502,699,500,503,649,502,649,501,502,500,16,502,800,649,59,502,649,649,800,800,649,604,502,502,800,282,800,649,501,504,800,501,501,500,619,501,649,800,27,501,504,503,500,800,649,800,504,967,502,503,502,282,282,635,282,502,501,501,501,238,503,501,649,502,500,503,503,16,501,500,501,282,504,16,502,500,501,504,800,282,649,502,502,501,501,500,282,117,800,501,857,503,500,282,282,502,500,649,800,282,282,503,503,649,649,502,502,504,649,502,800,955,282,500,503,751,16,501,800,500,649,501,649,503,649,835,649,800,501,649,500,500,502,501,500,800,218,367,649,800,649,502,502,649,282,649,503,649,800,213,502,552,501,502,646,644,282,500,500,504,501,282,501,282,503,800,503,282,502,504,500,709,216,562,500,649,501,649,477,649,500,16,502,282,649,649,469,501,527,649,649,282,503,649,502,502,800,502,503,500,500,500,500,502,282,502,502,501,241,501,245,814,649,501,501,800,800,458,649,500,649,503,365,16,501,500,800,7,649,500,715,649,500,500,500,503,282,685,504,800,504,502,800,282,503,500,800,500,503,503,501,800,800,736,502,649,800,800,282,503,503,503,649,649,501,635,649,649,800,501,503,282,502,500,368,500,800,800,282,649,389,504,800,800,502,502,503,649,649,649,503,649,800,928,501,672,503,649,501,800,741,503,649,649,594,107,501,282,800,800,649,500,502,16,501,502,501,16,503,282,811,800,503,820,309,500,107,800,649,504,503,500,649,16,997,503,649,500,502,500,501,502,502,501,800,503,501,502,703,504,500,826,800,502,502,421,649,502,502,500,649,503,649,501,35,500,16,282,500,500,502,282,501,649,800,800,800,501,500,800,500,502,504,500,501,502,660,25,800,649,649,462,649,501,502,800,282,649,503,16,649,649,649,501,800,502,649,107,502,649,502,800,800,800,501,800,649,503,103,503,503,970,503,501,501,503,504,649,853,501,502,503,614,503,503,500,649,503,800,501,656,501,501,500,649,503,501,503,365,501,501,500,503,800,498,649,504,500,503,500,649,502,800,649,237,503,501,649,503,503,896,623,503,502,800,649,800,502,502,103,986,500,501,649,502,16,503,503,501,500,649,503,389,500,800,649,16,655,503,991,181,649,800,500,503,500,501,501,516,503,503,502,139,501,501,502,649,501,800,500,649,501,500,282,37,501,503,649,800,500,800,502,649,649,532,800,503,503,503,107,500,502,151,500,500,501,282,800,800,649,926,503,501,800,649,500,503,500,282,974,502,282,501,122,388,503,502,502,649,502,800,500,649,500,282,502,800,282,800,501,503,501,408,16,500,649,800,649,503,649,502,500,502,503,502,649,500,282,503,800,503,815,500,282,548,501,501,958,500,503,500,500,500,503,649,649,500,500,649,800,800,282,500,501,800,847,478,800,282,282,501,503,259,502,503,500,845,501,593,708,502,800,800,502,503,999,103,500,501,649,502,500,649,82,800,649,503,502,447,503,502,800,501,503,800,503,500,503,503,502,503,504,503,501,500,649,649,617,16,335,649,649,503,503,503,800,649,559,142,501,649,800,500,800,501,968,503,502,800,502,502,920,649,501,282,41,807,502,424,800,800,834,501,500,800,16,501,649,800,501,500,501,282,800,16,800,503,501,501,800,504,649,668,501,159,800,800,501,800,282,479,502,16,649,143,502,800,503,649,649,182,504,282,16,103,819,649,502,649,282,503,16,500,649,282,800,282,795,103,70,282,649,501,502,501,503,501,502,500,502,649,500,800,500,503,649,800,501,502,282,649,800,501,503,502,501,649,503,500,927,502,16,503,282,501,282,649,649,501,502,800,665,501,500,500,504,503,501,80,501,256,503,282,503,500,649,649,501,649,293,501,500,836,503,282,649,800,500,501,282,561,930,282,501,504,874,649,16,649,282,16,503,501,105,800,800,800,16,704,504,501,502,800,500,649,194,649,800,503,800,501,503,800,103,800,503,800,282,800,502,501,501,649,503,801,496,282,502,501,282,649,500,800,649,501,501,503,800,501,503,733,800,502,501,502,500,500,502,500,500,649,503,800,196,103,649,502,800,800,503,800,373,282,649,500,504,572,800,800,500,500,282,649,500,800,502,649,503,503,649,503,78,800,800,503,501,502,800,167,16,800,726,501,282,56,809,501,501,503,500,501,649,282,504,502,649,502,503,500,500,502,649,282,502,649,913,502,501,282,500,503,501,501,500,800,503,23,649,502,504,503,59,387,501,800,500,501,361,500,282,800,500,503,500,800,65,800,500,227,800,502,16,500,649,500,500,503,282,282,800,282,500,500,800,500,649,500,282,282,503,800,500,282,502,800,800,800,502,649,503,501,502,500,502,602,503,282,827,210,282,649,503,649,500,501,501,649,503,800,800,282,800,500,800,501,501,501,625,500,291,649,500,349,649,503,16,502,502,501,800,502,503,500,501,914,814,649,800,649,501,649,500,500,282,649,501,502,503,800,50,500,501,819,504,500,282,800,502,649,800,502,282,649,800,282,503,501,649,209,282,649,65,530,501,885,501,501,500,502,503,501,503,500,500,840,282,800,501,501,503,503,800,500,377,649,649,466,649,800,500,282,500,784,503,649,807,500,649,800,502,390,500,501,249,500,426,800,800,649,502,800,503,501,649,503,503,649,501,800,800,800,800,503,503,282,575,502,502,502,502,800,16,500,16,502,800,503,927,501,282,503,649,43,500,501,649,706,233,649,501,501,649,501,500,503,800,500,16,501,649,649,502,649,500,800,501,503,501,649,16,500,503,500,649,605,500,800,503,16,649,503,502,28,800,532,503,502,500,503,800,800,800,649,501,500,282,501,503,503,800,835,649,649,502,501,500,800,502,800,501,422,809,800,402,649,501,500,502,502,107,649,282,800,52,316,800,503,800,282,501,714,649,502,800,501,649,504,800,502,649,732,299,593,375,502,502,649,649,502,649,438,504,649,500,501,501,16,501,282,800,800,504,500,800,282,502,376,390,649,800,503,800,23,500,649,500,282,501,800,134,500,649,649,840,503,501,800,500,282,502,504,501,504,515,502,503,503,800,852,502,500,649,649,111,503,501,502,800,759,501,649,503,500,503,107,800,967,649,800,649,502,501,282,503,503,502,503,503,819,16,503,649,500,501,695,282,16,501,502,282,890,52,649,503,539,282,928,282,502,995,503,282,503,503,500,502,500,500,503,107,501,501,500,500,649,649,649,107,500,53,502,501,800,503,500,800,649,501,500,503,503,500,503,502,503,800,501,282,558,649,204,649,504,857,649,502,902,502,501,282,107,800,500,500,500,800,500,649,772,282,504,503,800,282,16,282,649,503,503,649,502,501,649,800,500,649,800,118,503,502,502,502,501,500,649,282,500,501,282,282,501,502,282,800,800,501,501,500,800,649,649,800,500,685,504,501,503,800,783,501,800,449,492,800,282,800,800,999,282,649,522,240,503,909,16,649,503,649,503,16,502,501,504,604,649,503,501,649,503,503,500,503,800,500,503,800,800,649,649,503,649,106,501,503,800,705,504,282,800,800,500,501,500,500,503,501,832,800,800,500,503,800,481,500,503,500,800,930,282,503,500,502,103,122,649,503,502,649,500,501,356,501,16,501,649,282,502,501,282,503,501,649,502,501,503,800,501,277,16,649,800,800,649,649,501,648,501,649,500,501,664,501,16,504,649,502,500,503,649,503,800,504,503,334,742,502,107,649,16,956,503,500,503,282,503,800,503,503,501,800,500,800,503,800,502,500,800,502,649,501,502,988,16,282,503,754,800,501,503,501,500,331,649,800,16,800,649,500,503,500,649,503,500,282,502,282,503,196,242,502,501,948,501,502,502,501,501,649,502,501,501,501,502,501,501,500,500,649,800,500,800,503,504,649,500,16,448,502,800,649,282,501,503,649,529,501,649,500,500,904,502,502,282,649,800,500,502,282,627,282,649,502,160,500,827,649,503,503,501,501,501,800,800,649,879,649,649,649,501,800,443,501,503,503,502,282,501,107,216,501,439,649,605,502,502,502,16,802,502,420,282,503,502,501,501,800,16,501,944,629,115,800,16,800,218,649,649,500,157,504,502,619,502,800,501,649,500,502,500,282,502,501,800,501,800,500,649,282,649,501,501,501,502,800,301,468,500,500,800,503,800,800,502,800,300,282,282,100,649,502,282,500,800,504,359,107,800,503,16,500,649,501,502,649,282,649,282,503,502,501,503,502,16,800,502,800,501,502,800,502,502,282,800,502,502,503,420,503,627,649,500,500,649,800,504,800,43,800,282,439,502,649,800,399,503,301,649,500,500,501,757,501,649,800,16,502,649,501,800,125,501,504,649,503,345,500,502,573,569,649,107,282,502,556,282,16,501,973,282,649,500,502,649,501,16,502,800,800,107,800,501,501,501,500,768,504,500,649,503,282,16,800,503,7,800,120,500,410,502,500,649,649,173,649,500,500,649,502,503,733,500,500,404,500,503,500,503,500,503,649,500,503,282,502,503,649,503,649,130,503,502,337,502,336,502,502,500,649,500,503,500,500,41,800,502,503,535,264,103,800,503,800,500,800,503,800,502,282,503,501,800,501,800,500,500,501,501,803,502,502,16,103,800,800,502,503,502,800,500,103,649,282,503,800,501,502,800,649,296,500,282,282,16,500,282,179,649,905,502,800,502,649,503,649,501,501,614,576,502,282,502,800,500,504,16,649,502,649,503,500,778,501,800,504,500,500,501,649,503,800,877,649,502,501,501,800,501,500,663,501,502,502,800,500,649,504,800,800,103,503,501,649,800,800,649,503,503,501,800,800,800,502,16,16,500,649,501,800,501,543,649,502,524,502,303,642,800,282,502,502,282,278,649,282,800,839,800,282,501,502,502,502,503,503,192,502,972,215,649,501,103,800,502,501,500,282,502,800,503,503,501,438,503,649,649,502,501,800,649,854,649,435,800,649,502,503,800,800,245,502,649,502,649,800,649,649,501,501,282,503,503,503,800,500,16,800,502,503,887,500,500,501,649,649,502,107,501,502,649,503,500,581,501,629,294,649,103,502,500,367,501,504,502,800,501,16,649,502,502,206,500,282,16,503,661,503,299,800,800,501,599,502,501,649,501,500,282,500,500,614,500,605,829,502,800,501,282,503,800,500,502,501,501,649,131,502,282,500,501,503,503,421,282,502,502,579,502,501,500,154,649,503,536,16,118,503,649,500,649,501,501,500,502,800,503,386,503,800,649,800,502,609,800,500,107,649,500,503,282,502,494,502,503,500,800,649,97,501,502,502,504,86,411,16,282,16,282,649,649,500,986,282,503,502,500,742,440,501,649,502,501,649,501,502,501,502,502,503,607,749,649,282,282,649,501,503,851,431,160,504,809,910,282,649,800,503,501,501,503,500,800,990,800,800,502,649,649,500,649,500,503,649,30,728,503,502,800,800,649,500,282,502,658,800,226,649,649,500,501,503,945,502,800,501,501,500,637,547,282,538,501,500,500,314,502,500,502,107,800,794,16,501,500,757,649,800,500,502,501,502,800,500,311,503,649,501,501,503,649,800,649,502,502,500,502,800,502,500,501,282,502,500,16,500,795,504,463,282,649,500,631,296,649,800,503,500,501,503,103,500,502,282,705,502,649,105,800,996,800,500,502,800,500,502,282,800,501,251,66,501,502,282,649,649,107,800,501,502,500,501,502,503,502,500,502,502,16,502,800,107,500,649,500,504,503,503,233,503,800,800,259,768,501,503,503,159,503,500,649,379,500,103,502,500,500,282,501,503,502,282,500,649,502,503,707,800,500,501,53,649,500,502,503,504,800,641,503,503,16,501,649,500,16,502,501,477,501,649,649,800,502,500,500,16,902,502,836,482,501,502,800,282,501,681,800,503,502,800,649,501,16,502,502,800,500,502,501,501,503,500,501,640,649,502,282,503,503,24,16,771,800,501,502,500,800,408,649,800,800,16,503,501,16,649,504,500,503,501,974,16,503,649,501,649,282,500,501,502,800,502,503,800,500,501,16,103,800,282,107,649,503,500,800,649,503,800,501,503,800,850,503,500,500,501,800,107,501,82,282,503,800,649,282,501,282,649,500,501,500,282,502,500,500,800,649,7,649,503,649,649,16,502,501,502,501,649,16,649,800,590,282,649,649,282,107,107,800,24,282,500,282,16,502,503,501,500,502,502,503,904,500,504,755,502,800,649,501,503,500,503,282,503,157,502,501,800,800,500,503,500,501,503,282,282,503,649,800,649,503,500,503,623,214,502,16,501,502,649,502,500,649,800,800,103,800,649,503,649,501,282,16,500,502,503,503,821,500,900,502,649,732,649,500,742,501,454,502,500,649,502,502,500,503,503,503,502,800,649,501,657,503,649,502,259,504,800,502,501,501,500,502,501,503,503,803,501,649,503,500,501,649,502,501,500,502,502,500,502,501,502,500,500,800,649,501,501,649,502,502,500,16,502,649,502,501,503,649,800,502,800,16,502,502,500,998,502,16,443,503,503,448,500,282,649,800,500,502,503,500,649,502,500,500,102,800,16,503,649,649,800,329,350,501,502,502,501,692,503,502,501,649,649,800,800,674,649,502,649,500,500,282,501,500,500,800,502,503,282,800,317,501,501,502,501,808,501,364,501,501,958,16,786,501,670,649,502,649,713,800,800,501,800,800,16,504,571,501,649,500,501,649,500,93,649,636,649,502,502,103,649,218,649,49,649,503,282,501,504,16,986,800,800,800,500,501,506,503,502,380,503,800,504,502,502,649,282,556,373,501,502,649,649,800,503,501,643,502,282,103,418,247,501,107,503,800,800,501,501,862,800,500,502,800,107,501,503,500,500,502,800,545,502,501,502,502,649,649,502,430,862,501,501,502,502,503,618,500,649,800,800,504,649,500,649,282,800,800,649,500,501,946,502,501,649,16,502,503,44,501,16,978,503,649,500,282,800,977,910,800,800,502,503,800,503,800,500,503,282,502,649,800,800,800,649,501,500,649,23,649,282,186,500,800,16,199,282,731,682,16,372,501,502,503,740,501,501,649,649,500,504,644,501,502,649,282,503,649,503,500,502,500,501,501,502,800,501,649,503,504,800,282,502,500,503,500,501,800,714,500,500,502,502,649,502,16,501,503,649,107,649,120,502,501,282,501,502,503,500,500,503,649,500,501,501,501,16,503,500,537,800,267,502,800,800,500,501,123,649,504,845,649,503,889,800,503,500,501,500,800,502,501,800,501,503,503,800,502,800,502,16,501,500,503,800,502,800,500,282,282,649,649,500,800,282,503,649,649,110,503,500,503,502,649,194,500,502,282,501,500,500,649,855,282,503,500,46,503,501,856,232,501,965,503,649,16,500,16,16,503,501,800,800,800,502,282,70,500,227,501,500,501,649,800,800,500,282,649,649,501,800,500,503,948,649,800,503,500,800,649,292,649,501,503,503,503,503,16,503,80,649,503,201,500,503,649,649,649,16,800,441,501,503,502,500,503,500,504,649,502,502,800,502,503,500,55,800,705,800,503,649,940,503,503,282,282,106,800,503,502,501,502,500,800,800,800,500,282,503,500,16,502,503,649,800,502,502,746,649,339,502,504,633,649,501,800,649,501,502,503,503,16,190,649,504,503,649,500,649,800,526,159,500,392,502,502,800,501,397,800,325,282,800,500,500,61,800,501,16,649,800,649,16,503,503,500,800,500,503,500,800,675,31,649,282,800,282,649,501,649,355,503,500,503,500,587,502,503,502,649,800,800,649,500,103,24,501,501,503,800,503,501,800,800,282,500,649,500,500,502,502,502,503,502,800,501,136,987,501,502,107,501,375,500,649,729,667,500,800,500,16,500,282,649,800,502,800,504,282,649,501,501,500,503,800,502,16,800,282,500,800,502,500,649,903,503,282,500,424,501,589,502,501,500,500,503,367,16,649,800,406,504,800,500,503,500,501,800,800,501,365,500,649,800,502,500,500,800,504,502,504,282,504,800,649,502,500,503,282,800,500,800,800,649,107,282,500,800,252,500,503,452,649,501,705,503,933,16,503,503,800,501,282,282,503,282,649,649,461,800,501,500,500,800,649,377,649,501,800,502,501,800,501,538,201,107,649,16,503,502,649,422,16,503,662,503,107,501,800,282,282,800,502,800,500,649,500,500,502,800,325,249,500,501,649,500,649,500,503,412,500,500,282,501,649,500,501,501,500,500,649,501,830,502,503,16,52,502,501,800,800,503,501,500,502,502,502,16,966,649,800,501,500,248,649,500,503,649,800,800,501,812,502,503,427,503,649,501,501,503,649,503,649,502,107,649,503,514,501,800,500,500,598,502,500,500,37,500,649,502,504,800,502,502,501,500,502,502,502,502,906,503,503,493,649,502,800,910,501,501,800,500,649,967,503,800,500,502,502,800,500,649,649,649,503,800,502,500,439,800,282,503,501,800,501,500,501,503,503,501,800,943,502,500,501,503,502,789,800,649,800,501,16,800,502,282,500,500,649,649,500,502,502,818,800,103,501,500,502,399,16,246,501,282,501,147,649,696,648,500,504,800,649,800,649,503,753,649,504,649,982,53,500,503,800,808,16,501,316,649,16,500,800,649,500,703,800,502,967,800,501,503,800,649,503,649,775,197,221,800,500,649,502,800,501,500,501,649,649,500,501,502,800,800,282,649,504,800,500,501,502,500,16,16,500,236,501,502,502,503,800,500,503,174,800,503,501,503,800,282,800,649,500,502,502,500,503,503,800,800,282,827,649,500,800,502,16,500,501,502,282,503,282,503,500,229,16,501,16,800,500,649,500,500,503,800,502,649,500,502,500,800,800,800,502,500,500,503,500,502,502,503,502,502,502,500,649,800,224,503,282,800,501,16,501,649,800,480,500,903,503,503,500,704,282,85,649,800,500,649,510,501,848,800,502,500,257,16,282,16,800,501,223,503,821,501,73,282,500,800,649,282,649,502,800,502,503,502,800,282,282,649,503,502,503,500,500,800,16,503,649,282,895,649,500,16,800,146,502,503,502,649,649,649,649,107,500,500,282,649,500,855,500,504,502,501,649,282,503,503,502,502,649,501,501,504,501,501,729,503,501,500,503,503,503,649,649,649,500,501,649,501,501,503,649,502,500,503,800,501,500,16,817,16,870,16,16,405,800,807,282,502,502,502,502,282,649,649,813,282,500,504,501,501,501,501,503,500,502,502,500,503,503,503,649,282,649,500,800,622,500,503,836,529,501,282,49,476,282,107,501,16,503,503,649,500,501,502,502,282,501,282,649,646,503,71,800,649,31,282,649,711,502,800,367,800,501,649,500,503,501,501,390,503,501,502,16,282,501,800,741,501,16,501,649,800,503,800,502,649,501,101,502,888,502,502,153,618,501,503,800,282,649,649,500,282,705,500,649,502,649,500,501,503,525,649,916,501,503,502,649,649,501,649,503,800,502,502,500,800,501,502,869,800,800,501,697,282,649,500,282,504,501,448,173,282,728,423,649,649,502,357,482,502,800,649,649,503,800,501,800,107,282,649,800,649,16,800,800,502,502,503,543,501,502,501,636,502,50,268,501,500,16,282,503,103,107,738,282,800,282,282,800,502,649,502,503,649,503,501,503,500,649,649,800,800,800,649,500,338,800,503,649,935,503,503,800,502,503,649,16,159,800,556,503,501,282,107,500,127,501,312,501,500,503,928,649,501,502,501,502,503,282,273,501,501,842,282,500,865,2,321,500,500,649,800,649,841,503,282,800,503,501,649,503,503,282,500,503,800,649,500,501,800,503,501,649,282,107,503,503,800,649,649,649,649,501,503,504,282,56,649,282,502,282,500,501,504,649,502,649,874,282,501,503,649,501,502,502,502,503,503,107,502,649,500,270,649,800,649,500,503,501,501,503,649,968,147,502,16,800,725,501,501,502,501,502,502,503,502,649,502,800,16,649,502,649,649,282,500,501,501,282,304,502,103,500,800,500,34,501,800,501,401,501,501,282,502,649,800,500,649,800,800,502,502,502,502,883,502,500,500,800,156,649,502,502,500,503,500,502,649,649,503,789,800,501,800,503,404,501,503,649,16,649,282,500,502,282,649,16,16,800,800,800,800,800,282,501,800,501,503,501,501,244,280,649,805,800,649,501,502,500,282,649,500,504,282,500,500,649,501,649,502,649,503,502,649,500,502,121,649,800,503,503,649,733,502,614,407,800,677,649,800,502,649,501,503,282,266,800,501,500,65,649,103,501,661,501,501,649,500,911,640,503,282,500,502,649,800,800,282,800,649,649,649,502,503,282,282,503,282,649,649,502,501,907,500,503,121,500,501,649,500,501,501,500,649,502,503,517,503,502,500,501,501,501,501,79,649,503,800,800,649,500,800,500,500,503,800,800,500,83,800,367,500,500,500,502,504,500,501,503,502,503,500,800,500,325,649,503,800,501,503,500,649,649,282,502,800,500,800,504,500,502,649,649,500,649,503,502,800,502,500,503,502,800,649,800,502,16,800,800,649,282,502,500,504,16,501,780,501,502,800,16,16,282,16,649,477,649,500,501,501,649,800,800,282,569,800,800,649,649,500,501,503,282,62,107,649,800,501,500,504,502,500,503,500,649,333,503,649,282,649,483,800,705,282,500,16,500,502,649,503,649,503,649,600,500,502,800,500,800,833,502,16,503,800,282,649,503,501,513,800,800,282,800,800,502,502,282,500,502,971,16,503,501,500,282,634,800,397,502,503,800,800,649,500,649,987,502,501,502,649,649,501,501,800,205,544,649,500,649,503,649,649,502,107,719,16,739,154,413,503,19,282,649,503,800,649,649,500,800,166,277,282,344,500,649,229,503,16,501,649,500,500,800,649,103,649,800,649,501,717,501,649,500,503,502,500,503,649,969,649,800,800,82,502,107,282,504,336,938,800,16,16,503,500,800,194,16,107,649,800,800,649,503,503,461,502,649,649,503,501,501,331,501,649,503,503,503,501,649,800,503,584,500,649,501,16,500,800,282,649,767,501,800,502,281,800,16,800,502,800,16,649,502,16,800,190,16,16,649,752,503,871,501,502,274,502,500,282,800,502,500,800,502,649,501,800,800,500,500,502,502,501,649,282,501,502,500,800,649,240,800,519,282,502,501,500,800,2,500,502,502,500,649,16,501,500,503,16,282,501,502,500,502,649,500,503,501,501,16,503,800,232,503,732,501,16,230,501,248,503,501,649,500,500,16,103,502,296,503,16,502,282,501,814,447,502,503,502,500,503,501,503,502,800,649,502,282,649,502,501,799,800,83,853,503,501,500,501,742,500,622,500,798,502,501,16,649,500,800,16,989,982,359,501,800,502,501,649,649,649,800,649,501,800,501,800,800,503,800,282,800,502,501,282,500,800,502,16,16,337,501,282,319,500,502,800,282,500,282,500,282,502,107,134,649,503,800,501,500,503,501,502,282,388,649,500,581,649,503,503,501,282,502,115,501,501,502,502,503,800,252,500,502,800,649,500,503,501,500,800,103,500,649,330,501,756,500,800,500,500,501,800,503,723,16,16,305,800,503,800,500,500,800,487,503,649,649,800,501,800,279,268,502,852,800,649,503,502,649,800,229,501,649,502,502,501,502,282,800,800,501,501,502,977,649,618,649,501,500,282,945,649,502,649,649,500,649,800,800,501,501,502,282,500,800,649,800,502,800,500,649,501,800,531,500,500,800,500,500,503,503,500,501,800,503,501,649,501,502,502,649,934,16,503,503,503,502,502,501,800,503,501,800,503,503,800,800,500,503,503,502,282,500,304,503,503,800,504,503,313,586,501,501,809,208,502,282,800,100,16,44,800,282,502,502,501,282,500,502,504,503,800,503,649,800,500,502,672,800,282,501,16,501,502,504,502,501,500,636,800,16,500,282,501,649,999,501,462,502,502,649,503,501,361,16,282,800,800,500,800,501,112,502,501,502,503,504,282,504,501,649,500,649,501,729,800,800,503,800,800,649,914,501,800,501,500,502,800,502,501,48,800,467,800,500,501,501,500,503,576,501,502,282,501,502,800,800,503,501,800,503,649,503,502,500,502,649,800,503,500,800,503,501,800,840,503,649,503,649,500,503,500,500,649,502,800,800,649,502,503,607,503,16,501,800,500,504,503,503,422,850,819,649,503,502,502,502,107,501,502,107,800,503,649,503,503,502,435,501,298,501,282,103,500,800,500,282,503,503,503,503,502,282,501,502,501,500,282,649,501,502,500,501,543,16,282,503,649,649,500,282,800,501,282,565,800,705,16,501,503,503,501,992,500,502,503,282,501,502,282,403,503,501,501,649,500,737,800,825,633,681,500,503,282,800,500,500,500,504,501,282,724,500,500,649,501,649,699,800,800,800,502,502,501,500,800,503,800,501,501,176,193,233,504,500,649,500,649,800,500,501,501,500,649,500,501,502,500,501,800,503,649,800,501,800,501,502,504,500,501,282,500,282,16,255,502,500,649,503,787,503,502,501,501,502,107,282,282,502,501,500,501,649,800,500,504,763,107,649,500,500,502,800,502,503,107,649,500,282,504,502,501,503,16,649,800,502,503,501,501,649,503,503,504,800,800,16,502,649,800,501,502,503,502,802,282,282,500,800,294,649,649,800,649,503,16,282,501,693,648,502,800,500,649,282,282,501,500,502,502,800,503,649,282,640,800,800,501,991,251,500,479,500,504,800,503,501,282,800,89,649,500,649,282,649,649,243,501,649,500,107,501,503,504,649,800,218,500,500,649,503,503,503,503,497,649,96,649,500,500,502,500,282,500,501,503,649,800,649,500,800,649,501,649,800,503,502,282,502,501,649,501,502,649,800,649,503,16,501,282,500,604,501,120,503,16,500,500,649,649,503,502,503,580,501,504,502,800,800,501,501,131,649,649,16,503,800,502,19,500,16,501,800,501,282,502,502,503,500,282,282,500,503,503,503,501,800,16,501,277,500,503,500,500,800,500,680,981,282,501,500,503,800,649,500,800,502,501,500,503,503,649,501,500,863,954,502,503,649,458,282,501,503,649,282,800,881,502,278,503,502,107,500,649,502,504,807,500,800,503,500,649,502,503,649,502,502,898,503,502,500,502,649,503,961,500,501,503,800,282,482,92,649,503,282,501,800,503,502,503,501,503,800,649,800,649,649,502,503,503,500,501,503,503,501,503,500,500,503,503,684,501,501,502,500,501,649,800,503,502,503,500,649,501,107,503,501,501,116,502,800,502,502,500,501,107,649,500,503,500,646,635,107,500,500,500,503,800,559,282,502,503,800,500,800,277,503,501,282,500,649,800,500,334,500,919,502,800,500,800,649,800,800,282,783,501,502,649,503,502,502,649,503,729,502,664,649,501,500,649,500,649,500,800,501,800,850,502,500,503,16,989,500,501,501,800,501,501,209,922,800,503,803,800,103,800,107,501,501,649,649,436,502,282,800,282,800,282,917,501,800,800,825,282,956,501,502,826,800,800,502,649,343,103,836,502,500,503,500,503,649,500,502,503,649,500,500,502,800,503,282,649,501,501,800,503,500,500,502,500,500,503,649,121,500,705,504,500,282,800,800,502,503,502,800,275,282,503,800,282,800,502,800,649,649,504,649,282,649,502,800,785,501,501,282,282,107,503,282,649,649,500,868,152,270,649,502,500,649,501,800,500,500,500,800,800,649,503,502,649,16,502,282,649,503,649,405,502,501,501,503,291,502,45,800,503,324,500,862,649,800,800,502,502,103,430,649,501,501,502,503,19,13,503,539,103,810,501,800,501,919,16,502,500,500,501,501,375,649,501,501,503,800,282,16,282,649,500,501,800,503,800,504,500,908,252,501,500,16,705,503,393,649,501,500,501,502,800,503,156,503,651,502,501,501,501,282,503,501,649,502,503,501,705,649,649,649,16,62,501,649,800,800,649,657,649,503,500,500,500,502,501,16,501,503,501,649,649,16,800,503,800,502,282,282,45,932,501,501,800,649,16,800,502,279,503,502,25,502,502,282,800,500,501,103,649,282,502,501,502,503,501,500,800,502,172,500,503,500,879,501,502,500,503,398,535,500,649,500,502,800,502,500,500,503,501,500,502,800,649,649,502,503,502,501,885,649,823,16,282,925,800,649,503,649,205,282,16,501,649,649,800,282,800,282,503,500,610,503,800,502,500,501,503,502,500,500,503,201,502,282,16,501,800,649,504,800,282,500,649,500,875,800,504,282,500,800,800,800,502,16,503,649,503,500,503,610,800,649,649,913,914,501,500,501,649,500,896,501,649,649,501,249,501,501,752,500,282,97,16,234,503,800,800,649,501,501,500,282,502,300,340,577,502,500,282,502,503,282,500,502,469,470,800,16,395,500,800,503,501,255,501,800,649,528,500,503,502,500,500,501,800,282,649,800,501,800,503,500,800,649,800,501,649,800,649,103,500,649,501,800,502,503,503,503,649,502,501,502,800,500,503,503,424,615,502,502,705,500,500,501,529,500,500,504,503,779,765,737,649,503,502,502,502,181,501,958,282,16,502,88,649,503,502,500,714,400,705,501,800,800,501,500,501,502,649,503,800,501,500,649,282,502,16,500,95,649,649,806,502,500,501,502,282,502,649,361,649,649,503,649,649,502,713,503,103,111,649,800,649,501,800,649,503,282,823,649,16,800,800,501,649,501,501,502,649,649,502,16,800,282,501,503,501,282,500,800,500,649,503,282,792,800,649,480,649,501,500,501,800,705,500,107,504,500,111,800,502,501,500,649,503,503,649,282,649,282,771,282,502,500,561,120,649,500,502,870,500,501,800,503,501,500,502,800,503,503,503,649,503,800,501,500,502,503,800,502,502,649,503,500,800,649,16,501,502,503,800,282,649,503,501,501,282,502,571,503,501,282,502,800,500,502,502,103,500,502,800,500,649,500,101,282,500,649,500,800,504,346,980,800,649,282,16,502,649,501,502,169,503,7,440,521,649,502,503,501,500,502,665,503,501,501,649,503,500,649,800,504,500,502,649,500,649,727,503,500,233,800,502,502,500,501,503,502,503,500,800,832,649,502,649,800,503,503,501,800,649,16,649,800,503,800,500,502,501,800,500,503,501,800,282,503,107,502,504,541,875,502,503,503,500,649,504,503,16,504,800,503,282,503,282,34,107,800,503,770,501,649,502,800,282,503,649,503,500,502,282,503,963,282,317,16,107,16,800,800,503,649,800,503,500,768,649,501,150,501,800,500,817,261,503,800,500,800,501,686,502,800,503,502,649,501,800,500,649,800,502,502,649,800,501,649,502,16,500,503,500,500,649,649,501,504,728,500,282,754,649,294,501,800,800,361,649,502,502,252,282,503,503,501,502,800,503,502,800,649,569,503,502,215,649,501,800,817,649,649,800,501,502,503,530,500,800,818,502,502,503,465,503,501,649,503,500,649,800,800,503,800,282,649,501,500,800,16,504,500,800,282,800,800,649,800,503,800,800,800,648,800,800,800,282,800,649,800,107,16,504,501,16,360,636,314,503,185,503,649,500,501,649,282,501,503,500,320,535,500,282,282,800,635,74,501,16,847,501,502,502,800,800,500,649,502,649,501,649,22,282,649,500,502,504,282,503,16,800,500,502,995,800,427,501,501,649,501,16,800,502,800,502,503,501,282,800,800,649,500,503,500,501,503,747,800,206,800,503,16,501,502,500,800,504,16,501,800,800,282,16,503,501,649,502,502,282,500,500,557,649,501,503,649,649,16,800,649,501,503,800,649,412,502,800,800,800,500,282,503,501,503,502,282,503,503,500,500,985,501,649,502,649,282,603,823,649,800,503,502,501,489,500,649,16,800,10,500,282,240,282,649,501,649,800,503,282,503,502,16,649,103,800,800,865,504,800,282,500,282,502,245,282,501,501,786,800,503,503,649,413,504,503,649,800,800,500,502,500,649,502,649,500,649,501,649,350,501,501,500,501,501,800,800,501,500,502,282,500,649,500,500,502,500,501,501,503,504,500,502,800,282,501,500,503,649,503,503,503,500,500,501,649,800,282,800,649,503,500,649,649,500,107,282,649,502,503,16,800,348,500,705,502,282,501,500,502,503,282,649,503,503,501,282,503,501,800,800,649,501,502,800,502,527,282,843,800,16,503,500,411,705,122,800,16,501,500,800,500,500,501,501,49,503,500,503,896,503,500,649,492,649,500,501,698,500,502,502,282,500,103,800,501,501,502,503,649,800,501,807,800,500,501,503,501,502,649,649,502,503,501,503,16,16,879,501,500,502,503,502,503,800,800,502,501,503,501,500,800,649,500,503,502,649,282,282,649,282,103,502,502,365,502,649,504,503,503,503,649,282,501,649,800,300,932,504,649,501,649,282,649,501,500,501,800,501,502,705,649,500,501,649,501,501,500,9,976,787,503,818,282,502,600,649,649,649,502,800,800,800,502,500,502,822,649,504,502,800,503,282,502,502,504,107,501,503,744,503,503,800,501,800,503,649,500,649,501,504,501,649,503,237,503,281,503,757,501,649,500,500,502,103,82,501,16,503,800,501,503,649,800,500,649,500,503,501,501,502,584,502,501,282,800,502,500,503,649,500,501,282,503,500,503,500,282,649,800,282,282,132,503,503,500,800,501,800,604,649,503,646,705,800,649,500,282,800,282,282,503,800,649,282,997,649,800,800,500,503,158,500,649,649,503,402,282,16,649,501,502,503,500,503,501,844,503,500,800,503,503,501,282,800,503,502,282,800,282,800,649,500,500,649,120,800,502,649,649,500,502,500,665,646,282,500,649,800,503,502,176,500,500,649,501,501,800,800,800,501,501,503,800,503,482,501,501,503,502,649,649,282,501,800,282,549,649,500,502,800,503,500,705,500,595,800,503,502,500,502,800,561,500,649,16,800,107,800,282,500,502,16,501,649,501,338,500,800,500,501,649,282,649,501,253,252,649,16,459,500,501,503,501,403,625,502,500,503,500,800,649,501,503,649,501,322,649,725,503,501,800,501,108,800,501,502,502,500,502,586,282,503,501,500,503,501,500,282,649,501,649,830,501,503,500,886,503,682,800,649,851,500,282,502,800,175,800,12,800,649,502,503,800,503,503,800,92,500,880,502,649,503,16,502,500,128,649,501,649,649,649,500,16,503,500,800,249,107,649,649,500,649,649,800,804,649,800,503,800,502,836,649,800,502,649,503,503,282,16,800,649,250,500,501,282,503,103,649,379,800,649,502,89,503,800,282,503,500,502,501,649,800,245,649,502,107,33,501,502,800,501,503,500,16,912,649,500,500,649,503,649,500,16,649,800,502,500,502,502,96,649,103,503,502,500,500,500,649,107,500,649,502,503,502,244,282,502,502,282,800,800,500,649,800,502,501,16,649,649,502,504,800,282,800,282,42,11,845,800,503,282,502,500,503,501,502,800,807,430,501,145,800,354,894,500,649,282,503,501,502,502,503,500,256,595,500,502,500,351,649,800,841,500,503,502,500,800,325,649,502,501,500,103,502,501,16,500,503,503,504,343,502,503,792,491,676,282,500,501,282,500,502,502,502,502,79,501,501,502,16,503,502,500,103,502,800,500,501,502,649,197,254,500,501,501,503,800,501,498,503,503,503,500,502,500,116,649,503,503,649,282,649,282,838,500,800,800,500,649,282,800,800,282,501,500,800,500,649,503,649,800,649,503,282,501,503,649,282,649,282,502,649,16,649,649,649,649,501,503,282,603,503,500,502,503,501,502,502,649,572,502,500,282,503,502,500,649,16,503,503,502,16,502,282,500,501,503,501,282,502,500,500,16,500,502,800,649,503,500,649,500,502,503,589,282,500,16,742,502,502,649,501,107,503,501,649,855,502,503,282,649,500,501,547,500,800,705,800,282,880,52,501,800,500,503,503,649,649,282,500,634,282,485,501,649,448,740,502,966,501,504,503,504,502,501,282,502,103,800,800,500,501,649,501,501,443,500,800,502,503,500,500,800,503,503,503,504,503,52,502,500,282,500,800,800,502,649,103,800,502,800,800,800,353,649,649,500,502,503,974,649,687,800,500,800,501,800,383,500,800,502,500,16,202,649,262,500,500,502,716,649,649,916,501,501,501,503,503,649,501,501,503,800,282,504,501,570,649,163,503,500,16,502,500,504,503,649,649,800,910,502,607,502,500,502,503,36,503,503,502,501,500,501,500,948,58,501,500,640,107,649,800,649,502,800,85,502,649,501,504,502,503,503,649,107,649,503,503,503,502,500,463,649,649,502,501,800,502,800,501,500,502,810,503,649,503,800,501,502,502,792,500,649,503,733,501,32,649,501,500,649,282,649,502,800,504,501,503,443,503,800,503,144,800,800,500,800,16,500,502,503,800,800,504,500,282,503,16,502,503,800,800,503,500,800,502,649,501,500,800,503,503,16,649,649,503,500,800,16,503,792,503,503,800,800,649,800,282,502,501,727,94,503,800,502,282,501,649,649,501,503,800,500,800,502,800,502,502,800,501,502,500,502,95,606,103,800,501,500,501,282,502,500,500,503,500,502,501,820,501,502,501,501,500,500,500,16,282,502,501,168,282,16,502,488,501,800,521,800,500,503,649,503,503,800,282,649,800,503,500,501,501,171,800,96,502,800,800,800,502,649,502,501,800,649,800,649,500,131,212,502,500,502,526,556,649,649,902,800,716,282,649,182,38,500,800,16,649,502,503,502,282,503,649,503,649,561,282,800,649,800,500,503,298,502,501,500,500,649,103,501,503,16,502,282,502,501,503,354,16,500,103,504,649,800,282,649,649,800,503,16,588,501,325,503,500,502,504,500,500,502,504,578,649,649,501,16,501,503,501,501,963,501,503,500,649,502,503,501,649,501,649,501,501,503,800,571,282,933,503,426,16,282,800,438,503,173,800,502,503,800,519,649,501,502,500,501,896,800,501,103,501,822,649,649,503,242,649,649,504,649,503,800,501,16,800,800,815,649,800,152,649,282,503,502,282,282,501,504,502,503,800,800,800,500,649,502,800,502,501,501,212,649,501,500,800,800,16,619,800,503,500,649,776,500,282,503,503,649,649,800,973,502,504,504,649,503,501,500,500,198,282,649,800,503,649,282,932,649,503,500,502,501,502,501,502,800,536,649,502,502,176,501,501,198,282,502,16,502,502,500,503,254,501,282,649,282,503,501,503,649,638,498,649,16,503,504,800,502,500,501,501,500,899,500,800,649,388,502,282,649,282,502,282,502,501,649,500,103,649,501,800,501,364,502,800,649,430,800,282,503,649,800,502,649,502,282,282,649,501,501,173,500,16,501,500,282,649,503,503,504,16,503,500,503,800,501,501,649,500,500,502,502,16,649,282,282,800,500,671,502,502,503,371,282,800,282,503,502,500,649,649,676,107,16,503,501,503,800,500,800,501,282,502,16,500,800,500,16,501,414,282,800,649,960,502,501,649,626,504,911,282,504,501,501,501,500,503,503,282,503,502,502,800,800,800,501,503,502,107,107,503,131,649,783,900,503,502,488,649,649,503,282,500,502,500,503,282,500,649,649,649,502,502,500,649,501,501,502,503,501,807,502,800,649,800,800,500,500,502,60,501,501,649,847,502,503,800,503,500,282,501,501,302,649,800,501,502,500,501,800,503,800,800,500,860,74,911,500,800,800,649,503,504,282,646,501,568,500,282,500,800,503,503,503,103,649,282,501,502,502,502,501,800,649,282,500,501,16,500,501,649,800,501,500,824,501,500,502,649,649,502,957,504,649,504,501,501,282,800,502,999,16,503,500,16,499,503,500,501,500,502,503,500,586,503,619,371,17,649,503,282,800,800,500,503,500,800,800,27,500,767,501,502,500,503,500,16,503,500,500,887,316,649,649,649,502,504,502,800,500,16,501,649,528,500,896,501,501,501,503,649,800,800,503,500,649,502,501,503,502,800,800,800,649,503,649,800,800,649,503,986,800,332,812,103,649,500,398,503,501,649,649,649,800,500,500,500,503,218,502,501,800,500,794,282,502,500,649,500,649,282,692,502,282,800,399,504,800,500,649,500,503,282,649,282,649,503,800,500,502,649,503,800,766,502,649,985,649,503,876,501,16,649,500,800,502,669,501,628,501,649,288,282,262,282,502,501,16,502,501,505,800,503,502,414,503,503,501,282,201,282,502,501,502,51,502,502,502,800,500,500,649,501,800,800,501,502,649,501,501,503,282,285,800,282,794,501,503,501,649,847,282,503,502,649,232,501,502,502,16,800,501,503,504,501,503,502,502,282,730,503,16,500,503,977,649,500,649,502,503,800,500,649,282,107,503,649,452,405,308,800,800,800,502,985,800,16,503,501,282,649,501,500,503,800,500,500,501,503,800,500,800,501,502,282,500,502,800,16,501,502,800,800,502,500,767,500,501,502,504,649,501,282,503,503,501,282,501,282,649,503,503,649,282,501,612,503,503,503,800,500,503,501,503,500,16,800,103,649,501,503,800,501,500,907,503,500,503,503,649,800,884,649,202,503,502,502,968,800,504,62,503,501,282,415,649,649,800,501,500,503,282,503,501,500,537,502,800,502,503,502,902,152,800,291,800,503,501,809,649,800,42,503,649,503,503,800,503,649,837,282,428,502,16,502,646,800,503,503,500,503,800,649,800,800,649,502,800,649,500,500,500,282,503,503,649,235,108,501,19,501,501,649,811,503,282,800,879,503,282,872,501,503,502,649,649,649,282,546,800,501,649,500,585,501,502,282,282,503,267,502,649,502,502,501,814,16,649,500,282,16,501,649,501,503,502,800,800,649,500,800,503,503,16,502,800,825,649,503,502,800,501,649,501,500,800,649,501,782,282,502,457,501,800,502,500,800,282,502,502,282,501,282,503,501,502,645,612,649,478,800,500,504,501,649,502,282,16,502,501,800,282,502,4,501,501,503,800,290,501,800,800,16,503,501,500,16,501,502,282,649,503,502,282,500,503,649,520,800,502,800,501,800,103,503,800,502,99,503,501,500,282,649,500,502,503,501,473,664,16,500,500,503,649,503,800,282,501,502,649,590,103,726,649,501,282,649,500,502,480,800,282,502,649,649,503,800,649,501,500,503,649,501,282,500,209,800,982,501,800,503,800,500,800,800,800,282,16,800,800,503,502,800,800,592,203,501,16,500,503,503,927,954,372,504,800,649,16,16,800,503,501,502,800,107,800,800,503,502,800,501,16,649,649,282,353,500,649,500,503,282,500,282,502,800,637,649,649,501,500,503,800,705,800,649,502,649,502,800,16,502,500,649,500,649,649,649,501,105,500,502,700,501,649,500,649,800,800,749,356,800,800,500,502,503,502,503,649,649,503,502,502,117,502,503,501,502,649,800,503,602,517,800,502,473,501,16,107,649,282,16,649,503,502,234,500,800,503,500,502,500,501,649,502,502,502,500,282,503,127,282,282,329,503,743,107,649,16,503,500,500,961,649,500,504,649,502,501,800,502,500,502,800,800,500,502,501,800,107,16,282,649,502,832,800,500,502,649,649,801,502,501,649,500,800,501,996,649,649,503,502,502,649,501,500,282,728,282,649,94,800,501,500,500,891,500,500,501,649,503,501,501,501,825,503,500,646,800,502,502,726,386,885,649,282,800,502,71,501,502,503,649,103,501,649,649,800,503,367,501,282,282,501,107,923,501,502,501,501,649,501,902,649,500,282,649,65,501,282,649,502,633,800,800,502,800,649,501,649,649,282,502,282,649,800,800,800,502,500,500,503,649,502,500,500,282,649,503,501,800,502,500,503,503,649,800,503,502,282,632,503,503,503,500,649,501,501,644,503,503,649,503,800,501,800,800,2,500,800,502,282,500,501,503,501,643,501,502,908,501,177,500,502,503,649,649,502,282,502,649,649,800,502,503,224,649,502,501,752,649,282,503,502,282,800,501,649,500,501,649,500,501,501,800,282,282,501,502,501,800,800,500,798,501,800,16,500,501,144,800,800,800,649,503,800,800,501,501,800,500,503,858,500,501,649,16,16,649,692,500,649,800,502,649,630,500,500,501,16,16,504,282,649,247,503,649,883,282,501,649,501,800,501,503,649,167,649,726,282,282,500,502,800,503,503,504,649,501,800,500,800,800,520,501,800,649,800,962,504,800,501,500,649,503,503,501,503,800,195,800,649,800,100,800,500,502,16,500,500,501,501,503,503,503,419,503,503,500,649,501,584,501,16,649,649,16,649,282,198,503,282,500,282,471,502,282,503,504,800,649,500,503,282,800,705,649,649,282,649,649,649,735,649,161,800,501,649,503,501,800,500,503,504,382,757,800,800,800,503,500,502,503,501,502,503,501,502,649,282,800,282,800,501,502,800,282,282,340,501,500,282,502,503,800,649,800,501,504,347,502,502,500,395,501,502,504,502,800,649,502,23,233,705,800,500,649,502,500,502,649,503,501,500,503,800,649,282,800,649,500,500,503,649,504,503,649,649,800,16,649,649,503,16,282,500,503,107,649,503,649,800,500,502,502,851,500,103,502,800,502,500,800,800,503,504,501,649,649,155,649,501,649,649,800,500,503,282,34,800,121,500,502,500,98,502,282,649,825,504,500,500,282,800,50,500,800,501,500,567,649,493,502,500,503,100,649,800,503,16,502,502,503,503,649,503,108,46,501,800,503,800,516,539,282,501,502,502,479,502,324,500,67,282,800,649,502,501,649,282,501,502,611,800,501,502,249,502,502,503,503,282,500,807,800,503,282,686,649,500,329,501,501,282,800,500,800,800,649,503,500,800,500,503,800,503,503,503,649,504,500,213,480,504,500,649,500,800,502,500,649,800,16,800,502,800,500,502,502,503,368,500,501,501,800,503,649,501,800,502,501,282,503,500,502,800,16,284,502,649,649,576,75,501,800,282,100,800,232,591,501,854,282,800,423,500,212,278,502,501,502,282,400,649,503,800,503,282,500,502,500,282,282,12,800,649,503,282,504,500,501,502,800,946,649,800,503,50,491,502,502,502,800,503,749,800,282,800,501,501,501,649,649,502,649,503,282,649,649,501,503,800,500,800,502,800,503,649,502,503,500,462,502,352,800,800,443,566,502,503,503,551,282,800,503,800,16,501,502,500,282,325,761,502,649,115,282,500,503,282,800,501,649,503,500,112,649,633,502,501,16,502,272,369,500,282,649,502,992,501,500,502,501,800,501,624,103,800,800,282,500,502,500,649,503,649,649,800,107,437,502,462,500,16,501,500,502,502,649,800,503,503,500,501,282,501,800,500,649,501,503,132,800,503,502,851,16,16,800,649,503,823,649,503,477,649,649,502,501,502,649,501,800,800,500,950,800,723,657,800,800,501,501,502,500,282,486,500,502,414,441,548,502,503,16,503,503,500,504,705,979,800,649,800,501,503,282,500,800,502,282,503,501,500,500,282,502,501,503,759,803,500,502,282,500,274,649,504,502,649,501,503,649,282,501,500,502,800,502,282,500,984,503,282,800,649,500,282,800,649,500,502,501,502,455,503,649,800,16,800,590,16,504,800,500,501,501,649,500,504,502,315,800,649,500,732,501,800,502,649,503,403,500,282,800,649,500,502,16,502,503,502,503,502,502,279,503,501,503,649,503,501,16,500,719,714,669,204,500,502,502,500,503,503,649,800,502,503,501,791,649,502,500,500,649,503,800,500,502,410,503,501,16,916,501,649,503,649,703,649,800,664,502,503,500,282,503,503,456,649,282,800,500,800,500,649,800,502,502,502,735,649,649,503,282,649,502,502,649,649,458,501,455,502,500,16,16,500,649,952,282,120,649,694,502,502,697,503,63,502,501,282,500,649,258,78,502,486,500,501,503,504,282,500,282,800,504,500,107,501,571,501,500,800,501,404,800,649,501,282,501,800,649,282,503,282,273,941,501,502,500,800,282,800,501,503,502,503,16,800,282,649,743,502,16,502,649,503,800,500,502,501,649,649,800,502,59,649,502,500,16,800,501,500,649,500,502,503,649,205,503,301,501,154,649,502,649,501,501,502,753,64,500,501,334,282,649,536,16,502,502,550,500,502,500,500,500,649,800,649,15,649,649,501,503,282,649,502,800,800,800,800,649,179,501,800,282,649,800,108,295,502,103,502,252,501,500,814,800,16,649,312,282,210,504,282,503,500,503,800,649,502,500,46,649,800,649,649,800,16,504,500,282,503,649,282,107,503,500,501,503,500,107,337,800,504,649,501,282,800,800,500,501,501,16,501,500,503,503,619,800,501,649,800,502,800,501,502,649,629,429,800,282,501,800,502,502,501,649,807,16,649,501,500,500,500,3,282,503,649,501,500,501,529,800,726,502,871,282,282,502,212,800,501,501,500,501,501,501,886,807,800,800,501,800,503,500,16,503,501,500,503,880,649,502,501,503,501,502,316,800,502,107,800,649,800,649,501,500,504,677,502,500,500,502,649,800,502,501,103,800,800,649,800,282,504,501,145,503,28,503,502,800,503,800,782,800,800,500,994,145,438,282,500,500,501,800,816,649,500,282,800,501,649,502,282,800,649,956,501,501,800,285,16,282,282,503,503,649,16,403,503,707,649,800,503,682,504,500,502,649,501,282,800,501,502,500,800,500,649,501,503,500,503,649,500,535,231,282,800,649,501,501,800,501,500,800,500,882,800,649,758,503,800,500,649,502,500,800,501,800,16,502,503,502,649,501,649,204,16,288,502,649,836,800,282,800,502,649,501,500,103,342,800,800,800,495,502,16,757,107,503,16,502,800,500,503,503,502,501,503,800,503,282,501,607,230,282,649,649,502,500,500,580,800,56,503,169,503,649,502,151,823,282,800,500,503,282,16,500,649,503,800,503,501,16,16,503,500,282,501,282,500,503,399,502,502,16,649,501,220,501,800,502,503,333,503,882,800,502,500,503,743,500,502,800,502,649,73,501,503,282,649,502,503,503,800,501,649,503,502,501,107,501,16,500,800,649,259,500,501,503,26,500,647,502,800,649,282,500,282,500,282,503,503,503,503,649,800,503,800,441,500,502,502,501,560,503,649,501,649,800,282,501,800,500,800,649,282,503,502,500,800,800,502,501,441,649,103,282,649,501,649,501,503,503,500,177,500,503,502,964,800,502,261,503,800,500,501,649,634,369,502,282,503,502,282,705,501,502,282,500,500,16,282,346,502,649,501,282,282,502,649,800,503,800,501,502,503,649,503,800,800,502,500,159,502,502,502,501,800,649,282,500,501,800,649,501,282,649,500,500,649,911,952,500,649,501,501,503,501,800,649,503,503,502,502,502,800,800,359,649,16,75,500,503,500,282,500,502,649,502,410,502,649,649,502,649,502,16,504,501,719,800,503,351,501,503,649,598,107,503,800,914,500,649,780,282,501,282,649,501,501,503,366,649,502,282,501,800,314,502,500,649,649,503,502,503,800,502,500,649,502,502,502,800,501,80,282,503,282,501,503,800,501,800,282,514,502,500,485,282,503,282,501,501,800,501,501,501,649,530,691,501,501,800,800,103,503,502,501,503,502,500,502,282,501,502,503,618,501,500,282,282,800,800,502,503,500,503,500,103,641,282,16,504,500,282,800,282,800,500,677,503,282,503,776,649,537,500,501,501,649,503,384,498,343,800,649,503,800,501,649,503,503,800,97,649,649,500,500,749,502,282,649,656,649,16,282,503,502,500,800,619,501,800,503,649,800,502,500,282,649,800,730,502,16,521,500,504,502,503,282,500,800,502,16,502,275,501,503,503,501,500,800,438,503,501,500,503,572,800,500,962,500,501,502,500,503,501,502,649,501,500,500,877,502,649,501,649,500,800,282,503,107,500,501,500,539,501,502,937,501,432,807,649,16,501,501,503,649,971,502,502,501,503,503,502,500,649,800,16,503,16,800,503,500,800,800,649,649,800,808,649,38,800,649,502,500,459,502,500,500,16,649,501,133,649,282,800,501,535,501,329,617,503,649,503,502,800,501,503,649,16,503,649,800,503,503,500,502,295,503,503,504,501,503,800,502,282,800,501,649,389,225,500,501,800,500,503,962,282,800,500,503,649,649,107,504,669,500,502,800,800,503,649,500,282,501,502,90,282,501,16,800,503,501,282,649,282,282,500,649,649,503,501,649,835,502,503,500,501,502,500,547,649,502,503,500,501,501,61,649,668,502,501,501,649,501,649,776,501,501,46,800,800,503,649,800,501,449,282,502,501,502,501,800,800,503,16,800,421,502,282,501,800,941,503,503,649,282,67,501,503,501,800,501,581,500,800,503,502,421,503,282,501,501,649,800,800,500,500,800,800,649,500,502,800,501,503,502,503,649,328,500,16,503,618,501,16,502,501,501,800,800,800,129,501,649,500,502,649,16,502,649,503,800,502,500,649,800,500,502,500,999,500,16,500,494,502,502,504,649,282,649,502,107,502,502,503,503,800,502,437,800,800,405,500,282,503,501,282,501,791,501,245,649,800,502,800,502,500,503,965,649,282,503,282,282,556,502,827,501,504,800,774,502,452,503,800,500,649,500,171,503,103,649,503,800,649,16,501,502,282,483,500,502,503,649,503,16,576,502,800,282,500,691,503,502,604,501,282,878,282,800,500,500,282,502,502,503,282,503,502,649,800,501,502,501,500,282,282,130,501,504,282,503,500,501,502,500,907,649,800,800,501,16,282,503,501,502,800,501,16,502,503,504,500,998,649,246,500,502,642,501,834,376,502,92,649,503,800,500,502,501,504,282,500,500,501,503,679,800,503,282,705,231,16,700,800,503,500,282,349,800,53,917,503,919,503,649,500,649,800,502,107,649,649,800,649,282,504,511,214,501,776,504,282,978,649,500,503,972,800,537,501,500,16,500,168,501,503,500,503,503,500,649,504,649,500,800,501,649,502,503,649,500,144,503,501,649,638,503,501,504,985,502,502,501,500,502,500,500,502,501,649,504,503,16,649,800,787,800,124,504,529,16,500,501,649,500,501,502,649,501,503,503,649,282,110,800,500,649,500,282,500,503,800,616,500,502,705,800,501,709,344,800,800,501,209,501,282,502,503,500,649,649,800,16,380,330,649,503,800,501,502,504,649,501,282,501,800,503,800,649,649,501,501,530,800,800,270,500,504,190,649,649,500,500,81,503,282,502,282,282,502,396,503,502,504,501,649,500,503,282,501,500,649,500,103,500,282,500,501,500,800,500,800,282,500,502,503,800,649,500,800,503,502,502,800,501,347,501,649,501,503,800,649,501,502,501,649,282,502,743,501,503,503,502,504,502,503,503,500,16,934,649,800,398,503,502,649,16,649,503,502,282,800,339,800,504,282,722,649,649,649,503,649,289,503,500,649,503,500,649,282,500,503,501,502,501,649,500,504,649,649,503,103,837,501,649,649,500,800,502,800,282,800,500,107,502,502,721,329,504,282,502,503,503,500,531,500,501,502,285,577,16,100,649,501,435,501,282,501,800,649,800,282,502,500,413,649,839,502,503,800,282,500,503,649,649,504,500,800,503,503,500,503,502,502,500,502,501,503,500,649,500,649,800,282,852,16,500,502,503,649,501,501,16,649,501,800,800,503,501,500,502,500,649,800,500,500,649,500,282,500,16,649,501,800,502,503,70,501,284,649,649,123,502,501,501,800,282,502,500,649,502,649,800,649,800,282,800,649,502,586,800,500,501,800,800,503,135,800,502,501,501,500,500,649,800,501,502,500,649,500,376,649,500,800,310,501,649,502,502,821,501,500,654,738,808,649,649,800,282,185,500,503,504,16,500,107,500,502,501,502,503,500,503,501,504,502,501,649,649,16,16,649,800,503,800,800,318,502,795,502,501,649,502,501,500,503,501,501,649,501,501,501,500,103,800,473,503,500,800,800,502,500,400,800,670,649,800,501,501,231,503,649,500,502,500,503,649,501,503,500,800,194,500,16,501,503,501,342,502,530,500,503,800,502,502,503,282,223,500,311,843,282,501,295,502,800,503,800,16,800,501,649,501,224,500,501,502,503,282,800,501,504,503,800,282,293,501,503,76,645,649,389,503,800,649,503,16,500,502,501,800,980,282,649,649,502,502,500,501,920,649,157,649,800,501,500,16,503,503,502,502,501,649,800,500,624,800,500,501,502,282,778,282,800,500,502,503,501,500,500,282,501,500,501,501,501,501,503,501,502,800,852,800,502,500,649,649,503,800,503,800,500,502,304,503,800,800,500,503,800,503,800,649,500,500,500,649,282,502,84,649,501,500,701,649,649,502,501,649,16,502,503,530,800,503,649,501,282,500,800,502,500,282,649,649,282,282,502,503,282,282,282,500,500,282,705,649,393,282,479,502,966,500,500,501,282,16,504,649,649,500,777,989,502,502,502,800,93,649,502,282,282,707,503,316,501,16,16,500,800,502,282,476,502,800,500,502,500,500,500,503,500,753,501,502,502,16,503,800,503,500,503,800,800,649,800,770,501,502,502,500,503,282,502,502,649,501,649,370,16,502,503,649,883,282,556,500,282,502,649,503,502,500,501,500,800,626,502,282,649,500,192,501,503,282,500,500,500,503,502,502,649,800,500,73,800,649,500,501,501,503,501,282,771,800,502,821,502,800,502,500,800,502,500,272,649,502,500,649,502,500,501,500,800,502,34,502,800,503,829,649,649,649,504,800,800,501,995,500,944,502,800,649,649,501,503,503,649,800,502,500,502,649,800,875,501,504,502,500,800,649,103,649,501,503,502,690,16,649,927,503,16,649,800,800,649,503,800,503,500,501,502,500,501,800,950,282,879,649,649,501,800,502,500,503,800,649,500,502,500,503,800,502,782,77,503,282,282,800,638,800,500,160,500,502,938,500,16,503,16,500,526,800,755,503,800,503,502,800,649,502,501,616,974,502,282,503,304,649,148,501,649,500,500,800,503,649,502,502,800,225,145,107,502,800,649,107,649,503,501,500,800,282,500,501,503,649,649,801,501,754,649,504,672,504,800,5,502,502,501,502,649,503,800,500,500,503,282,649,501,503,649,502,502,800,503,501,989,501,800,381,282,274,500,503,500,501,502,605,282,500,503,800,649,16,282,502,282,282,500,500,800,800,500,500,501,649,503,282,501,500,594,800,501,330,502,800,501,649,500,649,500,504,800,282,649,16,502,482,885,649,800,649,622,500,800,501,504,502,501,649,500,503,282,502,500,649,504,649,174,672,502,501,503,503,649,500,500,503,500,8,500,503,282,800,501,501,389,502,800,16,501,355,282,282,800,501,800,501,500,500,502,800,501,501,503,776,503,502,501,649,800,501,912,800,500,501,501,502,503,649,104,500,501,800,502,800,502,16,14,500,191,346,501,503,500,503,500,500,800,503,649,688,500,500,38,503,501,53,800,503,500,16,502,503,949,500,800,500,649,800,133,800,502,502,503,500,502,502,502,800,504,502,501,503,800,282,649,162,800,503,501,690,504,502,282,649,503,460,800,834,503,16,649,503,501,502,500,502,988,427,800,500,500,500,502,282,501,502,649,649,282,800,282,501,800,502,503,503,502,649,800,503,500,501,800,649,501,503,500,800,500,409,396,501,503,107,503,500,501,500,503,800,502,501,800,501,501,503,357,110,500,500,501,16,500,800,503,500,282,800,500,501,503,500,649,503,704,502,501,123,16,500,878,502,500,503,16,16,575,500,503,503,501,800,282,282,504,502,500,503,614,282,282,835,649,649,501,500,800,503,502,296,501,501,503,501,503,800,282,500,502,503,735,500,649,800,16,649,503,649,16,503,502,649,502,649,16,356,649,800,500,24,504,282,563,800,500,501,502,913,800,346,501,502,503,807,500,502,503,800,501,486,649,502,107,500,800,500,800,16,104,501,649,696,502,649,502,649,759,504,649,103,800,614,282,16,502,800,800,500,649,282,649,649,501,919,282,714,800,282,502,282,500,649,282,502,308,503,282,103,501,16,500,500,282,611,500,649,16,501,354,16,800,503,800,649,272,636,174,800,107,649,500,134,282,501,502,800,459,503,500,501,726,503,903,282,503,649,501,504,500,503,500,501,649,500,501,367,282,797,502,500,591,501,649,649,649,649,282,649,500,501,502,649,233,502,169,282,503,501,503,875,502,649,504,503,800,282,800,800,159,501,282,553,503,502,714,503,800,502,501,501,649,502,374,503,500,800,501,502,718,501,500,503,649,501,800,503,282,502,800,800,500,282,502,501,503,502,504,649,799,503,649,649,4,501,500,500,500,649,503,649,501,282,800,502,800,502,649,500,501,455,649,649,503,500,474,503,649,649,282,232,501,649,502,500,502,500,649,282,501,282,500,503,504,503,649,285,107,649,503,498,502,503,282,502,503,800,500,501,501,501,649,800,16,502,649,502,500,649,502,649,503,500,800,282,502,501,282,649,800,502,649,502,649,500,500,401,800,282,649,800,501,504,404,502,7,649,649,800,648,649,282,501,503,501,503,85,800,800,800,502,498,282,502,800,504,501,800,501,649,501,649,500,502,503,501,649,504,503,503,502,649,503,503,500,16,502,502,649,501,16,819,501,503,502,282,705,800,50,800,502,502,500,719,711,503,800,649,16,502,647,16,282,500,500,501,502,800,503,503,800,501,502,800,282,800,502,649,501,800,857,503,501,649,100,501,282,16,282,503,503,800,500,502,313,649,500,502,501,500,800,503,282,647,649,503,503,502,282,501,503,504,649,503,500,503,503,502,500,502,502,800,503,501,500,649,502,502,103,500,566,649,114,649,282,503,502,501,501,649,800,503,664,649,238,501,503,976,504,503,501,294,282,503,800,503,503,500,592,501,503,800,502,760,500,649,583,115,502,608,143,800,501,502,233,500,503,501,503,649,209,500,282,649,800,800,800,503,649,501,500,501,502,501,500,500,297,503,649,504,500,503,800,502,503,800,503,503,500,800,969,549,16,501,501,502,584,563,502,500,800,800,503,500,800,16,502,554,931,800,282,503,649,741,501,501,503,282,649,800,504,502,649,500,197,282,800,500,501,649,504,282,649,800,517,500,282,649,609,500,282,649,800,501,649,649,502,16,500,649,502,649,500,501,419,501,649,649,503,519,502,107,282,503,501,735,500,649,282,502,501,503,503,500,503,502,649,177,503,502,503,649,503,649,501,502,800,800,502,759,504,800,831,107,502,502,649,500,500,228,832,321,649,502,282,800,282,649,502,502,503,500,590,501,649,503,503,504,800,197,503,282,502,503,649,649,504,501,57,649,888,666,282,800,501,649,174,200,502,43,501,504,800,500,502,503,502,649,501,16,800,502,282,649,282,800,800,800,496,282,502,500,500,282,28,800,502,282,501,142,502,503,502,503,500,16,500,800,271,501,501,147,502,504,500,500,800,502,502,337,503,501,649,503,856,502,502,500,800,807,501,16,503,649,502,503,107,209,503,501,503,503,649,800,502,504,800,800,800,16,503,649,800,649,800,501,800,681,282,503,502,879,500,501,800,503,107,800,500,800,503,502,107,501,502,800,501,501,500,649,500,800,649,508,649,79,503,263,501,649,545,16,503,649,800,16,282,800,800,503,649,503,800,282,501,503,500,16,503,649,501,502,502,649,282,501,37,649,500,800,503,503,502,649,416,503,501,502,107,649,502,500,800,501,649,502,500,502,800,501,501,501,800,649,504,800,16,16,705,840,493,501,503,500,800,421,365,500,502,410,503,800,649,68,500,107,800,503,16,649,282,500,500,11,800,800,501,649,502,501,503,500,503,501,501,16,875,649,683,649,500,500,649,282,169,502,649,503,800,501,800,800,500,649,500,500,501,503,500,502,649,500,649,282,503,504,500,800,604,503,501,16,502,569,649,502,503,800,502,503,500,282,503,800,800,282,800,500,501,282,800,282,301,649,282,504,503,501,800,860,649,649,282,501,705,874,800,501,649,500,800,500,503,500,772,503,800,501,503,649,500,500,649,649,500,503,16,800,291,282,500,649,282,649,904,502,502,501,282,501,500,800,503,649,777,500,509,800,500,649,282,491,503,501,503,800,282,800,500,502,501,500,873,649,282,502,800,282,800,282,503,282,800,800,503,844,800,2,501,800,501,649,908,503,502,500,799,282,16,502,503,500,649,500,649,282,282,800,501,500,502,502,248,502,255,16,282,500,16,502,501,649,800,503,672,649,800,503,501,282,68,524,502,501,503,800,282,501,705,503,800,501,800,502,16,503,649,800,282,501,500,487,502,503,500,649,649,649,503,649,503,282,122,800,332,282,282,16,501,958,800,649,649,546,503,107,503,605,282,442,503,16,503,503,649,499,282,649,133,800,500,449,503,503,500,800,649,282,207,282,926,503,500,503,842,800,282,800,501,500,503,500,437,705,502,502,649,800,503,16,500,16,282,880,800,502,773,649,501,440,264,649,500,800,500,306,800,503,503,501,500,282,500,282,503,501,649,16,16,500,649,114,503,16,503,46,500,502,732,503,16,500,503,649,800,649,500,649,649,282,800,282,869,503,503,282,502,502,800,501,500,500,501,800,800,503,649,503,501,501,800,503,482,500,649,503,800,502,16,502,504,500,503,16,503,851,502,390,692,500,503,800,830,503,501,501,100,501,282,500,503,503,503,411,501,282,282,502,502,649,502,501,500,800,649,501,800,500,502,500,504,360,501,503,800,503,502,800,800,503,502,503,501,503,501,649,501,282,649,649,800,988,225,800,502,665,500,649,800,383,800,649,500,800,649,800,501,503,503,818,502,501,800,503,649,649,500,649,800,503,800,500,800,503,501,502,502,727,649,503,649,800,16,501,503,649,449,503,800,502,649,501,16,501,649,500,500,500,649,800,402,502,282,503,502,282,884,282,649,500,501,501,800,500,503,500,16,504,502,439,16,503,282,282,503,500,282,503,251,800,500,500,501,502,282,282,503,394,501,500,502,116,502,649,503,633,649,282,393,502,282,502,500,282,503,800,649,502,649,790,800,649,502,561,649,16,800,107,501,503,503,502,649,649,214,800,624,1000,502,503,282,502,503,649,479,973,502,504,649,502,107,504,800,501,502,16,503,503,649,500,502,800,502,500,800,800,500,501,500,500,503,502,129,502,282,504,282,502,501,282,282,503,501,800,500,333,501,649,187,649,501,800,502,500,502,649,649,282,649,500,649,429,502,503,217,503,632,501,503,500,500,821,500,503,503,501,501,500,294,282,16,807,282,501,16,800,500,500,16,942,503,500,649,649,649,649,500,649,502,502,503,107,501,649,649,500,502,800,502,501,800,800,282,705,501,502,502,649,800,500,800,282,502,282,347,649,500,503,800,649,282,500,502,66,348,107,501,501,800,16,649,502,501,500,503,649,597,500,649,503,502,800,502,78,800,500,500,501,500,649,502,502,502,502,800,282,501,501,501,649,800,649,649,502,500,282,649,800,500,649,501,504,500,248,649,800,503,800,649,503,501,503,503,502,649,503,4,503,500,502,649,501,501,649,502,500,503,536,425,502,649,502,500,503,502,501,649,800,501,16,800,501,649,503,649,800,800,504,649,500,504,800,649,800,16,501,504,504,500,800,800,800,649,502,649,16,500,649,502,501,16,503,885,502,502,649,502,501,502,500,773,504,649,501,442,502,501,800,502,16,177,649,582,800,800,501,800,503,503,500,625,649,282,503,504,800,504,500,649,501,801,969,502,503,501,503,500,503,503,502,101,181,162,500,800,800,800,501,501,662,500,649,85,501,501,500,500,282,500,502,649,800,503,503,500,502,16,800,502,800,500,649,992,582,282,500,503,503,502,649,503,649,649,500,282,649,500,800,502,502,503,503,500,800,751,282,649,501,800,502,500,800,502,502,649,503,503,502,501,984,16,500,504,500,450,500,649,282,865,502,502,39,500,16,502,800,501,649,800,972,501,500,16,722,501,503,503,503,282,501,500,800,800,649,501,502,800,503,800,649,501,892,16,305,800,800,649,800,503,800,503,502,501,800,502,501,800,107,387,500,500,649,800,501,596,93,502,500,649,649,502,875,282,16,800,649,672,16,502,503,501,502,500,503,447,800,16,502,500,501,500,649,501,500,500,503,500,503,649,904,501,501,502,16,800,282,846,502,504,500,649,501,649,146,47,800,500,282,800,649,501,503,502,503,500,800,282,649,500,800,649,649,800,649,850,501,503,282,503,501,800,501,503,649,501,290,282,503,500,500,936,500,800,649,327,800,501,107,800,502,333,649,501,501,107,501,503,503,500,502,503,501,282,800,800,800,16,503,503,501,649,16,649,503,501,649,502,800,500,172,972,800,820,800,501,502,282,178,977,282,16,500,504,503,502,800,800,502,500,800,501,649,631,107,16,16,501,649,501,502,16,322,500,501,503,649,382,503,503,649,503,502,499,501,800,502,504,726,420,282,800,500,282,649,500,649,800,501,947,500,95,501,502,500,800,501,500,500,649,500,502,649,282,501,500,420,502,800,282,649,649,501,500,282,503,501,500,649,503,503,500,282,503,504,502,503,500,614,649,800,500,502,282,808,286,800,472,503,579,501,500,500,502,800,668,502,501,501,502,503,282,501,503,16,800,107,503,501,500,500,450,800,500,800,800,501,282,800,502,503,649,500,504,500,889,972,649,500,800,649,503,800,503,745,500,500,52,16,645,16,500,503,649,649,500,502,16,500,501,439,501,503,649,502,800,973,501,282,282,501,301,502,500,502,501,501,503,503,503,500,501,611,649,503,649,649,282,800,905,800,800,503,502,649,282,503,257,985,506,503,82,502,649,800,504,800,501,503,282,800,501,800,501,502,502,800,366,503,800,501,493,500,649,800,501,8,502,501,502,503,574,502,649,649,503,501,800,503,649,800,503,913,759,436,501,800,282,800,282,649,504,282,600,501,502,503,103,16,500,782,649,500,282,503,649,501,800,502,800,502,501,800,210,273,800,649,393,500,501,103,503,502,501,502,502,16,501,674,500,744,502,800,857,800,800,649,502,282,503,500,649,203,858,502,800,502,501,103,503,960,282,649,649,800,800,922,760,503,501,500,503,800,503,649,500,502,99,800,503,16,502,501,502,800,500,649,503,503,501,280,500,501,282,649,800,16,156,16,800,500,16,502,500,502,503,594,282,503,500,500,681,502,649,503,390,800,500,500,649,500,503,282,500,16,553,502,500,813,502,500,502,282,500,800,816,282,800,502,282,16,500,649,503,807,502,800,282,501,103,103,282,500,800,503,649,649,858,16,500,16,273,160,800,16,503,649,500,661,649,500,649,643,16,501,500,503,503,503,282,502,16,800,501,340,800,500,501,800,282,502,649,503,503,501,649,502,929,817,502,502,503,502,26,107,807,16,502,649,649,502,800,500,502,501,501,800,503,502,800,501,503,503,800,503,800,107,800,502,800,16,649,468,649,800,800,500,649,649,503,503,501,63,503,649,502,500,649,800,554,503,800,630,800,502,503,800,503,271,502,501,503,502,502,500,649,502,177,195,652,19,503,503,800,503,504,501,500,501,649,605,649,649,501,649,800,363,800,501,501,649,286,502,493,503,502,16,504,419,649,500,649,501,649,503,649,500,800,502,503,500,501,42,500,502,502,807,503,800,16,800,500,800,504,800,501,503,501,502,503,502,502,502,503,649,833,500,649,503,649,22,649,286,97,649,800,649,503,649,500,501,502,501,423,649,282,502,16,206,501,501,503,282,503,501,501,503,282,649,800,282,500,680,649,649,503,649,649,502,800,500,473,501,800,503,491,649,501,800,800,500,107,500,800,800,16,402,649,676,649,500,500,649,500,282,503,500,508,503,649,502,800,503,503,800,649,649,501,500,503,502,800,800,282,800,649,500,503,502,282,503,503,800,800,800,16,649,800,503,465,500,503,503,501,800,502,501,800,103,330,837,107,501,501,500,501,107,500,649,129,795,656,500,500,500,649,500,791,31,16,502,356,502,502,501,816,16,800,138,503,22,500,502,282,501,649,502,282,500,649,502,649,501,500,501,649,800,800,501,501,503,501,800,502,500,501,501,815,16,503,502,501,503,800,649,282,503,503,504,504,649,502,800,500,649,500,16,500,503,107,946,503,501,649,503,800,16,800,800,506,282,501,282,503,503,501,649,502,503,807,282,500,425,649,282,649,800,649,501,649,282,800,501,502,649,571,502,503,16,501,282,501,501,500,502,800,500,107,503,365,649,500,282,16,502,800,502,500,282,503,103,649,502,800,800,649,500,500,500,649,800,16,504,502,794,500,640,502,649,501,800,501,16,353,107,500,503,282,649,503,649,649,503,501,500,501,504,502,649,16,649,500,800,501,286,282,800,726,500,503,501,800,649,501,800,887,501,282,503,649,500,501,282,502,16,898,500,502,500,649,503,649,502,502,649,282,501,649,503,501,501,16,503,502,941,500,533,282,16,503,501,501,649,16,100,800,501,800,800,800,501,503,503,800,800,800,800,16,500,800,500,500,500,800,501,501,649,649,16,501,501,649,500,500,334,282,649,800,800,503,501,16,500,800,800,503,488,503,649,502,267,649,502,500,500,282,501,501,800,282,649,503,503,210,983,800,443,503,16,800,16,396,502,107,274,282,502,800,800,321,16,649,500,503,120,500,800,649,80,540,800,502,501,502,131,236,503,800,282,500,503,501,500,800,501,282,800,502,649,502,501,500,503,502,649,501,501,649,210,503,504,503,649,687,800,282,501,649,16,500,503,649,800,501,800,500,677,311,503,501,501,504,501,800,282,649,16,503,649,662,501,643,649,800,282,501,501,800,847,503,502,501,135,649,800,500,501,501,502,502,503,649,501,500,500,800,800,500,800,800,500,502,649,501,871,933,800,501,282,503,502,502,649,500,800,500,501,501,502,502,684,501,501,649,501,500,502,649,641,501,503,759,502,818,16,500,127,501,649,282,501,502,500,503,500,649,16,16,501,800,501,649,500,649,503,501,649,500,502,649,501,361,501,591,501,500,503,282,502,504,734,649,502,500,503,282,800,800,502,502,501,282,500,502,634,649,649,503,502,503,503,503,500,282,502,282,818,130,282,800,503,502,501,501,649,501,299,500,500,503,649,500,514,495,282,800,501,282,107,619,503,500,104,649,282,501,502,705,502,861,649,501,501,649,502,282,649,502,502,16,502,323,800,500,282,501,502,500,500,503,649,500,500,500,503,977,734,800,502,500,800,889,501,501,502,649,353,800,649,500,503,502,502,501,800,649,500,16,649,800,800,502,649,649,800,282,500,649,500,649,800,502,207,800,502,501,500,354,502,282,16,649,503,282,500,500,141,800,33,800,501,649,708,502,741,706,502,95,800,502,649,649,503,501,503,282,649,503,282,476,502,502,502,500,500,800,800,800,649,502,17,502,282,500,500,502,501,405,502,352,964,503,501,503,503,649,649,501,681,16,502,282,503,649,800,503,150,502,705,649,649,800,800,252,282,502,503,649,800,800,107,500,649,500,107,503,800,501,500,500,649,800,500,500,156,649,502,501,502,103,500,502,501,800,282,694,282,501,503,502,503,500,16,649,501,649,16,500,649,502,800,500,649,800,501,500,800,566,649,800,282,881,500,913,503,800,502,501,501,282,282,503,437,649,503,502,16,502,800,461,800,501,800,502,501,502,649,800,503,649,282,800,800,500,649,504,649,282,501,800,503,501,503,649,326,800,500,518,649,16,500,800,352,282,500,503,282,103,546,282,800,504,503,16,502,826,107,503,800,16,107,502,166,503,500,500,504,800,31,800,503,649,282,500,502,500,502,800,800,800,501,502,502,503,800,649,504,275,800,502,502,500,879,946,126,501,500,500,800,649,649,800,800,503,282,16,502,649,500,501,500,800,16,140,504,500,501,501,282,502,649,504,503,474,501,502,800,501,478,800,742,106,502,502,649,282,282,503,649,502,503,800,517,503,16,500,501,503,502,502,366,504,800,859,501,504,649,282,503,313,500,649,171,500,16,500,503,649,649,500,282,501,502,500,649,649,282,503,775,800,501,649,500,649,377,504,502,282,800,500,228,502,502,800,500,800,282,502,501,282,502,502,699,282,341,649,502,500,502,500,649,503,607,800,649,501,502,500,500,503,540,500,800,500,315,501,503,800,800,649,501,282,649,503,282,501,389,502,649,674,500,649,649,503,649,502,502,649,282,649,649,282,107,800,501,502,503,282,504,649,562,502,503,800,503,800,502,501,503,800,649,346,503,876,503,502,800,500,16,800,800,649,482,501,800,649,649,500,500,503,282,16,503,107,800,800,501,273,107,501,502,16,503,504,502,881,502,502,800,800,800,649,649,649,995,649,282,649,501,500,103,282,500,502,501,649,855,126,500,339,500,503,879,282,282,502,649,282,503,501,500,502,500,282,649,800,502,800,502,500,504,502,502,282,649,501,800,502,500,800,501,282,500,503,501,800,649,281,503,503,503,502,500,800,282,800,502,504,503,971,282,800,500,501,502,649,501,502,649,502,502,503,503,501,504,807,503,502,504,800,282,800,503,16,503,501,500,503,502,800,649,16,282,649,16,447,649,501,502,649,282,500,649,282,800,503,501,800,794,501,649,501,503,800,649,800,282,567,503,500,500,473,501,93,503,502,503,800,649,502,16,649,500,502,502,282,503,503,649,502,502,649,649,501,503,501,501,502,501,502,502,501,800,503,503,418,503,502,503,800,583,502,800,500,500,282,502,501,501,501,14,502,503,500,502,649,16,800,502,649,503,282,649,16,800,502,504,501,282,800,119,502,501,502,256,282,502,504,282,501,501,265,500,705,800,649,282,800,800,16,800,500,723,500,500,503,347,501,800,615,649,800,649,687,502,500,16,503,16,800,649,501,503,501,282,452,502,501,503,282,503,282,800,282,649,500,502,502,282,800,800,503,649,800,502,160,500,494,800,502,649,282,282,501,649,800,282,367,649,16,16,501,502,314,649,649,16,96,16,800,503,16,336,501,503,501,500,501,800,500,550,282,501,649,800,502,525,500,501,800,16,503,649,649,503,502,282,501,503,500,800,282,282,282,16,147,282,649,502,999,220,649,839,476,282,501,502,501,502,502,781,800,649,536,806,649,282,282,186,500,502,500,800,107,803,500,503,282,503,800,503,649,481,501,649,16,502,502,501,501,502,501,501,800,501,649,751,649,800,649,800,502,282,500,649,800,282,16,800,503,500,800,16,503,800,501,500,501,800,282,501,649,501,649,501,502,503,143,516,503,501,848,503,501,503,107,501,800,501,649,649,502,282,503,502,649,995,951,501,649,766,649,503,501,500,503,500,800,503,501,502,501,503,503,282,649,209,103,800,800,649,501,500,649,155,961,282,649,649,501,501,500,500,649,649,649,800,409,800,177,503,502,800,800,16,503,502,503,649,502,800,502,16,503,282,500,502,800,503,189,649,502,282,649,800,501,501,500,503,800,107,595,502,107,800,502,649,649,800,800,800,800,501,649,502,649,501,503,282,502,649,501,504,408,501,649,649,642,503,503,800,282,500,503,716,501,502,503,800,500,839,800,107,500,282,252,800,16,16,501,800,503,800,503,500,800,800,500,503,986,800,503,502,502,107,500,503,649,501,649,503,649,501,649,800,500,69,16,500,662,534,282,649,13,800,500,502,758,800,501,500,649,649,282,500,500,502,503,282,649,501,649,484,502,800,282,502,956,16,800,800,500,500,800,649,502,500,500,502,16,502,500,396,18,504,503,800,503,29,503,501,500,503,504,500,649,8,500,800,800,500,800,800,502,649,282,282,502,502,862,502,649,863,502,501,800,502,282,282,502,501,503,758,16,502,282,503,103,501,800,502,501,501,800,502,500,282,500,649,500,649,503,503,282,500,502,501,501,649,649,129,800,800,681,502,500,800,649,502,500,500,500,16,503,800,800,503,381,149,503,500,807,502,500,501,549,500,154,804,503,649,500,501,83,282,800,502,503,502,23,800,501,500,800,502,800,32,501,502,292,649,500,800,649,107,100,502,16,503,502,503,649,800,502,16,501,807,800,501,500,16,500,107,501,501,800,503,500,800,103,800,103,800,502,502,649,282,502,800,501,649,503,500,649,502,282,252,502,503,503,502,500,503,282,649,501,103,502,500,649,649,20,800,649,649,282,501,500,501,501,500,800,649,124,500,432,316,501,16,500,503,501,336,501,800,501,503,649,500,282,107,501,625,503,504,503,503,282,649,500,502,503,649,800,502,800,800,500,524,500,944,501,800,502,501,16,649,501,238,16,282,649,16,649,800,503,310,503,500,649,503,503,800,536,649,16,808,501,800,503,500,503,282,503,649,501,502,501,502,800,501,649,800,502,649,501,800,16,800,502,501,637,79,500,501,649,502,501,500,503,500,959,800,501,905,201,649,501,500,501,989,800,271,770,502,16,502,502,649,503,414,282,716,501,800,649,500,282,504,479,501,502,649,501,16,16,649,649,16,503,649,503,500,501,282,282,800,858,503,503,649,800,800,975,282,16,502,502,501,800,107,649,800,649,229,800,649,503,502,503,503,290,282,500,500,503,800,800,649,800,800,649,282,502,107,503,282,800,501,282,393,670,649,502,502,503,282,800,502,503,503,502,503,502,500,16,103,502,502,407,282,552,501,883,800,800,502,800,503,16,282,649,503,649,312,501,504,500,649,503,500,501,107,800,750,13,500,503,649,282,501,800,500,800,800,649,501,16,800,590,500,503,800,16,502,649,503,502,501,649,649,800,503,16,500,503,503,502,16,502,503,200,500,501,800,282,849,501,503,414,282,500,503,502,503,501,887,502,16,800,600,500,502,800,502,16,800,607,501,504,16,501,501,500,800,649,800,800,503,502,502,502,649,28,16,502,649,502,733,649,504,503,228,800,107,501,800,502,500,16,503,503,649,800,705,503,800,314,501,16,282,905,502,649,500,501,501,608,501,500,109,500,501,282,800,282,649,649,649,500,40,800,514,282,649,818,800,302,500,501,500,503,800,501,800,282,500,107,503,500,503,282,282,502,911,800,504,501,692,500,504,502,282,500,107,501,800,649,503,800,16,16,502,500,787,518,501,500,503,501,282,502,101,500,649,16,500,649,52,500,800,649,503,800,500,16,570,16,500,800,649,503,500,504,800,800,282,282,90,800,500,501,504,800,500,469,503,800,282,500,502,501,502,500,16,500,649,800,500,501,649,502,246,800,274,502,282,500,282,501,500,502,800,282,501,501,705,500,399,502,649,500,800,282,800,502,502,504,500,449,800,502,800,500,649,502,500,800,501,649,503,897,502,679,502,503,501,282,649,502,500,503,800,924,503,502,500,503,500,503,503,592,465,649,501,501,500,576,502,500,503,649,500,502,282,800,649,501,500,501,649,210,500,503,800,641,682,502,649,800,502,800,282,503,502,917,649,500,502,500,800,649,649,649,503,502,544,501,501,800,501,501,501,503,103,831,502,500,501,502,502,282,800,103,501,501,800,800,503,501,501,501,808,602,36,502,503,500,800,107,500,503,502,800,649,501,501,94,501,500,66,502,649,500,502,709,649,501,282,503,503,500,501,501,649,649,501,503,649,800,503,328,282,500,502,501,502,502,503,502,208,501,500,649,649,728,500,504,629,503,379,800,502,800,23,500,444,500,800,502,502,501,800,800,800,800,632,504,282,649,800,649,501,649,502,501,282,500,503,16,503,267,501,649,800,800,502,16,282,800,501,500,504,501,800,501,282,800,502,501,649,800,500,503,502,649,800,649,503,800,503,471,500,501,501,800,502,500,800,501,107,501,502,800,800,501,501,502,649,649,500,501,800,502,649,654,500,850,282,717,649,649,500,502,649,955,791,502,501,501,800,800,800,282,649,501,282,503,705,800,502,502,282,489,631,502,452,501,649,500,649,800,282,282,800,502,800,649,282,501,500,107,500,500,649,504,800,649,500,500,502,649,282,502,649,502,501,503,282,800,401,904,412,649,503,649,503,103,502,503,502,502,800,800,16,649,503,282,501,500,873,649,800,501,501,502,501,800,527,503,16,800,501,501,544,504,372,503,999,501,282,649,503,282,502,282,504,649,501,800,282,502,800,502,107,502,649,502,149,502,858,800,807,501,502,503,503,504,649,649,800,193,649,44,649,503,500,649,282,501,500,503,16,502,800,502,503,502,649,812,649,649,800,282,800,649,503,503,503,502,501,800,501,502,501,282,660,504,412,500,501,501,502,800,503,500,503,649,502,503,800,503,554,500,787,500,282,503,503,580,500,503,500,502,800,282,503,800,282,500,501,503,502,800,107,500,282,500,500,500,282,442,800,270,800,504,504,649,611,649,292,501,800,649,503,78,503,874,502,649,800,503,501,503,501,249,503,501,500,16,689,649,906,107,274,500,103,822,502,500,501,649,800,649,107,500,965,282,501,521,776,107,282,500,649,501,503,800,500,649,500,282,502,503,502,649,503,502,649,649,502,257,800,504,502,800,103,467,501,649,800,282,501,16,500,649,503,502,644,501,282,864,503,500,503,502,501,501,502,500,503,16,649,503,500,649,812,503,800,501,501,649,500,649,759,500,649,800,807,500,800,800,16,282,615,800,800,500,500,503,500,500,501,800,282,16,500,800,649,502,502,500,504,649,243,501,890,502,502,361,500,354,503,500,500,503,503,500,649,800,500,501,503,502,649,500,192,501,16,649,503,649,501,500,649,957,800,800,502,501,500,778,649,800,500,66,503,501,500,504,502,503,502,503,800,800,282,649,282,504,800,502,800,282,282,503,649,500,800,649,800,649,294,107,649,800,731,16,16,502,503,649,500,501,800,502,16,502,800,407,501,800,502,502,16,682,500,649,800,649,500,502,282,500,502,282,502,16,503,501,800,500,649,800,399,649,319,502,503,502,352,502,705,756,800,71,445,800,503,282,503,649,649,501,281,503,800,699,501,649,500,649,800,501,500,282,501,501,500,501,503,501,282,256,800,501,504,503,940,282,330,649,800,800,26,800,649,711,500,501,502,800,502,800,501,16,503,504,502,502,503,442,503,501,502,282,649,502,500,800,502,500,82,716,500,793,649,502,500,800,649,502,649,649,800,191,800,500,649,565,800,500,503,16,649,613,800,500,503,502,500,501,649,649,503,503,107,501,502,800,800,676,649,649,800,649,501,649,649,501,315,282,107,282,632,501,501,649,649,649,501,800,503,649,217,503,800,170,502,649,282,66,103,503,503,861,507,800,500,16,503,800,502,800,502,501,800,503,500,503,282,500,502,501,501,501,800,503,800,342,649,502,500,583,501,500,501,500,649,503,16,502,500,501,500,649,504,502,501,502,359,649,501,502,502,282,78,800,501,501,800,501,503,800,502,800,503,502,500,649,500,503,502,503,467,282,500,282,800,503,502,649,500,649,800,501,649,649,502,649,282,138,503,503,16,552,502,800,16,501,649,501,282,503,282,800,800,500,282,800,966,503,282,502,500,501,503,502,502,500,481,800,503,800,800,800,708,800,282,502,800,502,367,501,503,501,282,649,705,649,282,471,500,800,500,649,800,287,649,500,502,65,500,800,500,503,502,314,520,503,501,503,119,501,500,503,649,647,649,282,502,501,107,200,503,282,503,634,649,503,649,501,16,502,503,649,800,842,800,800,502,501,503,649,649,649,807,503,501,649,503,502,649,649,649,500,502,503,800,502,800,500,504,500,649,500,282,500,975,503,282,502,282,649,501,502,282,501,503,16,503,921,649,282,500,502,727,503,503,500,800,503,416,501,500,502,503,501,500,800,649,800,500,656,105,500,502,503,502,282,502,666,502,503,800,107,501,502,501,503,503,84,800,501,501,503,501,404,502,501,503,502,801,500,16,502,502,503,500,502,305,16,500,282,649,502,503,503,501,501,502,503,503,282,800,800,503,501,893,508,503,282,61,500,800,502,503,649,500,501,800,503,800,501,504,800,649,649,501,500,800,548,286,501,800,561,503,502,502,800,502,282,705,800,503,502,500,321,800,502,502,800,679,500,699,800,500,503,501,502,504,502,282,107,800,649,502,502,502,501,503,800,649,502,901,503,502,502,800,503,649,282,503,16,502,502,500,500,502,501,880,649,500,501,800,501,501,502,282,425,649,502,500,951,501,800,503,504,800,503,502,800,501,501,800,649,282,502,800,16,800,503,552,282,649,800,950,800,16,502,649,501,709,649,800,503,500,500,500,800,649,503,282,502,503,501,800,503,503,502,501,501,500,282,503,282,502,649,500,502,502,800,503,503,649,649,649,282,16,504,503,800,501,502,16,800,649,503,800,503,282,282,501,649,352,501,501,753,282,16,649,103,503,282,800,800,649,504,502,502,649,500,502,503,16,500,503,502,502,282,501,500,502,649,92,16,500,57,322,502,649,649,282,16,502,16,408,501,649,502,800,649,282,501,503,800,500,282,500,996,501,649,503,500,500,503,800,503,503,207,501,502,503,503,500,420,649,282,502,503,502,285,500,502,500,800,839,16,649,77,503,649,40,503,282,503,800,500,649,502,30,502,502,617,500,803,503,649,503,503,504,800,649,709,501,502,502,649,800,649,800,431,282,698,502,407,501,503,800,502,501,649,16,649,800,800,649,800,800,503,503,800,500,502,500,875,500,503,649,649,282,501,501,501,503,649,989,502,649,501,282,16,800,500,500,546,649,649,503,501,502,721,649,406,503,800,649,502,502,502,502,853,503,500,501,523,502,500,500,996,502,501,800,503,503,649,502,500,501,500,16,253,362,503,502,332,800,501,310,379,800,501,500,502,502,107,800,502,282,503,800,800,649,800,16,500,911,282,800,393,557,501,501,800,500,500,502,649,504,500,649,649,500,500,649,807,649,501,800,255,503,502,649,503,107,256,800,800,800,594,800,500,502,649,649,501,503,282,800,500,99,502,503,502,649,16,502,501,800,502,502,503,800,800,16,721,50,501,504,901,441,523,501,282,500,482,800,649,503,502,503,503,502,500,800,503,800,500,238,502,501,502,903,649,649,503,501,282,501,500,800,598,502,800,500,500,503,800,503,503,501,282,237,502,649,502,256,16,800,502,649,501,382,191,103,661,503,500,16,503,763,503,446,649,800,800,649,502,108,500,282,800,649,500,278,503,501,503,502,367,630,800,500,207,501,649,502,500,501,282,800,504,649,649,500,500,502,500,503,303,503,501,800,500,504,800,501,649,16,500,649,503,502,548,503,501,649,432,500,649,502,502,16,501,500,16,107,502,502,855,502,500,503,708,597,157,502,503,800,500,800,667,649,800,501,154,501,290,503,502,501,800,800,501,978,501,501,351,501,502,502,477,503,504,282,500,800,649,502,800,107,504,282,49,501,501,649,753,503,107,502,503,503,649,649,501,800,502,649,649,16,503,649,649,503,501,501,502,504,649,503,16,649,649,16,649,501,502,800,343,502,503,502,501,800,649,649,503,649,16,502,829,649,502,200,800,502,618,649,501,503,266,503,500,502,503,649,993,501,649,501,800,282,16,800,502,800,282,500,501,16,501,501,501,503,446,282,501,800,649,503,503,16,503,353,501,503,501,800,16,503,502,502,841,500,501,16,282,977,501,649,800,502,918,16,503,502,503,500,800,649,649,502,502,503,649,502,649,503,800,503,500,800,453,501,800,503,649,649,649,282,502,502,503,107,503,282,501,503,502,501,814,502,649,503,800,500,649,501,649,16,657,502,800,502,500,71,503,282,501,503,503,601,800,500,649,502,282,288,649,500,500,282,761,503,856,746,649,649,800,501,649,800,800,503,649,504,16,502,500,649,500,500,16,500,503,500,649,649,84,824,115,282,503,817,501,502,503,503,503,503,282,800,103,503,802,502,800,649,502,500,649,800,501,502,504,800,649,800,649,503,800,502,501,389,649,502,649,800,462,502,800,705,661,502,500,502,649,759,502,503,500,500,500,282,800,800,502,16,501,500,649,503,800,649,501,503,800,502,500,500,232,800,800,800,649,800,502,649,649,282,800,503,940,282,500,502,502,800,282,502,800,501,503,282,502,503,176,347,500,500,503,120,649,501,649,501,500,16,800,501,501,800,649,501,500,501,649,468,800,501,800,503,800,800,800,500,501,771,649,500,800,502,503,503,501,974,16,326,16,503,500,800,498,501,649,500,500,503,503,649,501,27,503,501,111,502,649,500,282,501,500,502,128,103,800,501,501,504,649,503,500,502,649,503,282,502,649,501,503,800,503,163,500,501,800,503,503,649,282,800,800,282,800,300,503,501,649,649,502,502,670,29,500,321,800,500,318,649,500,502,503,649,500,649,502,503,649,501,295,800,16,233,282,503,649,613,16,501,501,597,290,649,501,502,649,119,504,800,800,502,500,502,649,502,800,593,503,503,649,649,500,800,503,107,502,649,501,649,503,501,503,800,989,502,504,16,16,649,649,800,503,501,503,501,502,502,800,503,502,179,501,501,649,501,233,800,502,502,500,500,282,800,812,649,501,500,501,495,800,501,500,705,501,503,800,800,501,502,504,504,502,503,503,501,282,649,16,502,800,503,649,500,970,649,501,500,800,217,500,500,649,800,502,282,502,800,500,313,649,282,502,502,502,502,500,503,503,501,649,282,172,501,649,504,800,738,502,928,500,128,16,89,500,503,502,649,502,500,649,500,501,501,474,503,649,503,502,649,502,500,501,649,649,649,502,504,651,502,800,503,502,320,664,501,649,502,800,502,501,282,649,501,503,502,649,685,649,649,800,649,137,500,503,501,501,502,502,502,502,503,503,502,503,747,800,800,83,800,800,800,530,649,502,503,800,525,501,500,501,800,649,649,649,282,800,502,500,649,728,800,503,503,709,800,500,649,502,503,502,649,649,800,503,800,502,503,501,503,649,501,502,282,500,500,649,503,800,282,282,282,502,556,502,649,500,502,500,501,282,501,501,506,282,500,503,74,649,580,16,282,502,500,500,800,649,500,294,501,538,502,16,800,649,586,502,501,503,649,503,649,501,503,282,800,502,501,500,721,502,911,367,501,504,800,500,16,503,282,500,500,500,502,282,800,282,800,502,649,503,503,500,669,649,800,75,503,649,497,800,502,800,800,649,649,503,649,502,649,502,800,502,502,800,930,26,500,503,502,503,501,501,649,649,92,502,16,502,500,110,504,282,500,503,777,800,500,16,503,503,800,502,800,649,502,502,649,503,800,16,503,649,800,502,16,649,282,500,800,502,503,501,502,649,800,503,500,800,503,800,501,800,282,649,504,501,500,500,753,800,649,503,503,800,649,649,502,500,502,649,16,501,502,649,503,649,282,800,282,500,282,500,503,502,502,503,503,649,500,501,502,503,503,649,282,473,800,502,501,502,501,502,413,842,501,747,500,649,800,501,500,282,500,649,503,502,503,345,649,649,649,172,800,501,550,884,800,503,59,500,504,501,501,500,502,503,501,649,800,478,504,282,502,238,500,502,800,501,503,16,718,800,282,742,800,282,550,727,16,649,503,500,502,501,502,501,649,500,500,500,501,500,16,502,474,540,282,282,502,220,701,800,500,57,502,800,649,502,649,649,502,502,502,649,800,649,503,500,502,800,499,502,282,503,800,502,502,501,649,800,500,501,503,500,423,504,469,800,16,800,502,503,502,501,183,500,800,503,11,596,500,800,501,817,649,800,502,383,800,502,227,500,500,500,16,502,649,800,500,500,649,649,473,649,282,503,800,500,800,649,790,501,501,503,194,502,295,503,500,16,501,500,282,502,501,503,503,649,649,503,503,503,760,800,504,282,282,825,103,503,830,800,800,504,65,959,649,502,800,500,500,649,501,800,402,501,282,500,500,649,504,649,501,502,16,800,951,167,502,649,500,500,282,502,501,800,358,501,502,503,649,649,855,649,503,500,502,16,503,501,501,800,107,761,500,227,502,800,501,503,501,501,501,503,800,500,107,282,282,800,500,501,501,800,649,800,501,502,503,501,501,501,503,308,500,282,800,503,789,501,800,501,282,649,501,800,872,502,503,502,800,245,538,649,649,649,649,282,500,649,500,503,501,501,502,282,649,16,504,503,503,502,503,502,504,500,649,800,501,503,101,800,502,503,502,500,282,282,501,504,282,16,800,502,281,46,800,501,649,502,501,501,99,800,649,649,800,649,76,16,502,501,649,649,501,649,274,649,649,649,800,500,501,500,103,501,502,888,482,502,502,800,807,800,16,502,800,282,503,501,503,500,16,502,503,282,500,503,282,500,502,16,800,501,500,649,502,800,800,800,501,500,282,503,500,503,503,503,500,504,658,282,500,16,501,282,649,282,649,649,269,500,500,649,800,500,282,800,443,502,500,501,649,503,500,13,800,649,501,503,371,800,502,931,16,419,501,649,672,503,500,944,500,16,501,501,501,649,501,503,282,282,800,800,282,16,282,604,800,800,800,503,500,502,282,649,501,482,282,649,800,500,800,800,503,501,502,649,501,501,649,952,503,282,282,500,649,502,502,997,500,500,800,501,501,282,503,500,800,649,624,443,351,16,501,500,800,500,502,282,500,503,501,166,423,503,503,282,500,501,800,282,790,503,282,500,500,502,937,988,502,503,500,502,503,649,800,995,500,282,649,501,282,800,501,76,800,800,790,501,500,16,503,800,500,282,503,282,504,474,800,295,649,500,503,800,503,501,501,501,500,500,501,503,502,500,503,649,501,800,502,501,649,18,800,502,157,800,501,649,501,282,502,502,282,501,503,800,480,282,649,107,501,500,282,501,502,661,501,282,282,4,649,649,503,503,502,974,581,967,502,502,291,649,501,500,500,503,649,103,705,503,800,800,370,282,800,501,502,292,649,504,44,358,649,800,282,502,16,381,409,16,649,800,649,502,800,800,502,503,6,503,502,800,16,282,649,282,500,502,500,79,705,649,150,502,954,504,379,502,501,502,500,282,708,800,649,500,520,501,501,800,698,800,503,340,282,649,501,149,503,800,282,501,311,16,800,649,800,800,649,502,800,501,800,800,649,800,649,757,361,615,503,800,649,503,502,164,800,500,503,501,306,500,500,278,649,502,282,503,501,16,500,502,501,282,758,798,504,345,501,501,800,501,503,800,282,500,500,500,282,282,502,500,500,500,800,500,649,500,350,282,503,502,649,998,501,800,16,501,294,800,649,501,502,16,500,502,500,836,503,500,649,649,502,800,502,503,502,502,649,325,213,503,800,500,800,756,282,501,500,75,500,282,500,282,800,500,506,560,501,501,713,649,649,503,16,578,501,649,815,37,502,649,388,800,503,500,649,503,882,503,500,503,500,905,16,949,103,649,226,649,502,649,502,705,800,800,504,734,649,502,800,838,282,503,500,282,502,503,194,282,502,500,800,649,502,503,501,800,502,503,501,649,800,649,800,649,502,503,502,504,503,500,503,500,800,800,649,501,503,503,649,502,649,500,501,502,202,649,500,503,490,503,282,987,282,649,500,685,501,282,502,503,500,800,649,800,501,502,927,800,502,500,503,107,649,407,564,502,502,504,501,503,649,649,178,502,274,800,825,282,800,501,501,502,501,503,502,503,649,233,502,649,282,502,795,502,649,282,502,503,22,500,501,386,501,502,800,503,502,502,282,503,849,800,502,282,34,161,501,649,649,649,800,16,800,661,649,501,500,502,800,502,500,668,502,616,500,707,549,767,800,503,502,16,649,500,503,501,800,649,502,500,502,500,282,502,501,502,800,466,503,649,437,500,500,649,504,649,502,649,501,157,503,800,500,103,649,502,503,800,501,649,800,502,16,501,502,282,500,800,649,500,282,504,649,501,502,474,502,503,500,501,501,503,504,500,502,500,649,810,800,649,495,649,503,282,282,501,649,502,135,500,800,649,395,502,501,5,504,500,500,500,501,504,504,103,23,16,502,501,103,502,487,800,649,954,501,503,500,16,608,501,282,500,501,500,800,502,501,503,649,500,503,503,502,501,649,502,504,649,649,282,282,503,500,502,502,501,501,704,16,282,800,503,800,500,503,500,500,503,800,500,500,502,500,179,107,282,503,774,500,503,502,502,500,501,503,345,500,649,502,501,503,282,504,502,107,500,805,504,649,296,800,649,502,16,591,501,649,502,941,107,282,500,502,502,501,500,700,500,502,503,282,500,500,503,500,503,705,502,649,503,16,282,800,500,503,50,800,649,503,415,649,16,800,502,188,649,503,13,649,502,800,502,501,16,800,501,649,884,503,649,503,16,649,800,374,501,501,800,503,282,282,502,500,501,800,501,500,800,800,502,800,503,501,501,503,500,800,649,649,502,649,501,800,800,800,282,502,502,501,501,649,649,800,500,16,282,500,282,290,282,649,649,501,38,503,398,501,503,649,502,502,502,503,503,315,107,649,649,503,500,503,649,501,908,501,649,800,800,504,649,16,649,649,503,282,500,500,649,502,649,282,503,503,800,500,909,501,79,800,824,985,501,501,800,448,649,800,502,800,775,528,501,800,800,502,800,800,282,800,500,282,503,800,800,800,504,282,107,503,501,500,501,649,500,502,501,800,501,649,919,500,501,282,800,234,800,500,282,436,954,282,502,36,358,70,649,503,649,504,502,501,890,501,502,503,503,800,282,676,663,649,282,800,282,107,503,503,16,705,800,16,800,800,500,649,502,503,503,486,649,45,377,500,115,501,282,649,129,502,502,649,502,177,800,839,80,500,100,361,500,502,649,649,503,800,662,686,500,501,649,501,800,502,502,16,502,500,282,503,504,500,501,501,649,649,16,500,872,649,500,16,16,501,501,256,800,503,579,503,282,503,8,503,649,926,501,282,357,282,282,502,649,502,501,800,800,500,503,649,503,800,649,218,334,502,504,500,800,501,356,649,503,502,504,500,649,503,500,408,282,503,236,500,800,502,501,500,282,649,501,500,931,500,501,649,503,800,503,282,800,500,503,501,503,850,500,501,649,649,500,500,800,500,51,500,502,501,649,502,649,800,503,502,404,282,77,500,800,800,500,282,649,500,502,440,107,649,649,502,502,502,649,502,502,282,800,800,500,60,503,50,500,649,502,501,501,800,501,800,501,649,500,502,501,501,649,16,502,649,282,870,501,500,800,1,282,503,500,800,282,503,800,500,501,282,800,501,503,503,800,503,500,500,800,503,649,500,800,503,817,649,500,800,501,282,282,500,503,915,649,609,501,282,190,500,503,649,649,649,500,501,800,261,649,502,387,502,502,807,502,501,649,609,800,500,649,800,166,800,500,501,282,501,502,282,651,103,501,500,501,800,500,502,16,501,501,504,16,501,18,502,807,649,835,502,16,500,282,800,504,500,500,502,282,800,502,800,503,501,268,503,503,282,500,501,800,500,502,500,503,501,649,176,282,504,500,502,501,500,390,649,649,159,500,16,503,282,282,500,502,649,500,500,649,800,501,502,282,501,504,718,649,503,800,501,500,726,501,649,800,649,501,800,502,16,649,503,500,501,16,800,500,500,501,717,500,502,789,282,502,502,16,259,502,503,800,649,501,738,503,800,500,800,503,502,500,500,115,800,500,16,649,504,503,649,503,282,800,282,502,800,800,502,649,503,193,282,501,649,503,800,947,800,649,503,500,501,503,800,502,503,428,800,16,501,649,501,503,800,501,649,502,500,464,500,503,502,502,912,800,800,16,800,649,502,16,699,509,565,502,375,800,16,500,649,430,502,282,502,780,282,500,282,502,649,502,183,649,500,500,500,500,503,282,800,800,800,875,502,500,649,503,282,500,800,649,500,503,500,503,500,503,35,649,846,16,503,500,504,649,503,502,800,500,107,501,502,500,150,501,399,707,570,502,282,501,650,502,501,800,282,800,501,282,500,502,503,503,503,503,800,211,500,500,500,502,502,500,502,800,649,800,649,502,649,649,397,800,502,500,503,756,649,572,500,503,501,500,800,504,282,500,800,334,16,800,765,649,44,800,16,501,40,501,500,16,649,649,503,649,107,504,503,800,98,800,646,501,649,800,502,503,503,843,16,502,502,649,649,649,649,282,53,500,282,500,800,501,502,503,800,800,502,503,501,946,800,282,892,500,800,500,501,800,800,500,501,807,502,598,800,16,501,800,103,501,500,598,500,649,282,502,504,298,502,649,649,502,500,282,503,763,502,298,500,800,282,800,800,503,502,502,649,503,282,800,649,649,800,502,500,682,503,800,500,458,502,503,500,800,649,649,500,501,428,501,501,501,282,501,16,16,500,649,502,502,800,500,500,16,967,500,16,503,790,500,649,500,800,149,859,649,800,752,503,800,500,503,800,502,502,503,873,501,392,649,278,503,503,282,501,16,228,649,649,649,501,502,696,503,501,800,282,781,502,282,282,649,500,500,16,503,503,501,282,502,282,800,500,649,927,800,649,502,649,800,282,502,649,800,800,800,649,502,503,500,503,501,800,740,502,501,162,649,503,503,649,680,282,834,71,500,500,501,503,502,282,501,501,503,800,649,502,869,503,649,941,431,800,549,503,503,282,649,16,282,425,649,800,502,503,282,502,800,500,746,800,504,715,502,649,282,649,919,800,649,502,502,502,501,502,425,500,501,282,503,800,282,503,503,502,504,282,649,500,502,649,143,501,501,502,282,502,502,649,504,130,721,502,350,502,649,649,800,501,800,503,800,501,16,502,676,800,800,478,502,500,503,501,503,500,749,501,282,107,553,500,500,501,502,282,500,800,500,504,502,649,501,800,800,512,649,504,800,800,800,282,649,501,649,16,649,500,979,800,503,503,282,729,502,501,500,800,143,800,800,649,62,500,501,282,501,888,397,501,800,501,282,282,649,649,503,503,500,503,71,649,502,501,502,282,282,800,800,504,649,800,501,501,800,649,687,502,649,800,501,282,1000,800,649,503,501,502,502,649,503,800,503,502,649,500,503,809,434,503,501,36,502,800,502,500,501,502,502,502,649,503,800,636,503,501,502,500,503,500,500,502,800,500,502,503,282,16,504,649,501,503,800,649,503,502,501,501,502,503,800,941,503,500,503,49,649,500,503,502,501,282,502,800,800,649,165,718,502,931,807,911,229,800,501,800,502,800,677,722,573,503,504,341,343,503,82,800,649,500,482,503,500,502,649,800,16,649,800,649,501,501,282,503,16,502,708,107,503,501,501,802,501,502,502,800,501,800,500,500,249,503,282,282,16,502,502,369,502,679,16,504,500,503,502,649,282,502,386,800,800,649,503,503,800,828,500,501,500,502,502,412,503,282,500,800,502,244,500,503,878,19,122,501,282,503,110,282,503,282,800,502,500,649,503,503,248,649,649,500,500,737,649,502,501,282,501,816,502,502,800,501,765,235,800,500,800,500,376,500,800,800,500,503,38,7,649,649,501,458,649,501,963,502,107,800,502,502,673,294,500,604,501,503,107,800,649,800,501,800,800,649,501,282,282,51,576,800,649,282,649,500,502,503,831,502,500,800,503,503,437,500,800,184,448,502,503,800,501,501,282,502,502,503,649,503,907,500,500,257,649,500,107,282,282,502,501,502,800,503,16,856,113,649,649,503,800,282,500,649,800,956,503,649,282,500,501,282,800,649,502,502,518,503,800,705,16,800,502,493,649,501,800,266,800,282,800,501,502,503,500,500,503,500,649,502,282,800,800,19,649,503,465,502,800,649,800,644,503,107,107,503,800,500,502,501,502,282,126,649,502,649,800,649,502,16,282,501,982,649,501,126,502,899,649,503,502,502,500,649,800,800,501,169,502,649,502,649,649,502,649,501,375,503,501,502,503,282,503,651,501,501,282,502,501,972,500,800,649,282,649,502,503,500,500,500,282,503,649,503,800,972,389,16,503,527,649,502,503,500,282,503,659,925,800,502,103,502,649,800,500,649,649,501,503,500,649,479,502,501,503,282,800,649,504,87,503,501,502,649,411,503,800,649,232,282,503,800,649,349,98,500,639,800,649,500,502,649,470,500,800,16,800,589,649,649,504,500,383,502,500,500,502,815,503,800,16,502,807,501,503,502,500,502,800,501,649,503,16,502,800,282,502,800,501,502,502,16,16,132,501,501,151,501,869,503,800,503,504,900,282,502,503,503,800,649,730,500,649,16,649,502,800,455,502,501,292,501,502,800,649,502,503,282,800,800,500,911,504,500,649,649,800,282,16,800,800,16,503,282,501,502,322,800,800,500,800,282,649,501,800,503,500,502,649,649,503,502,282,649,899,503,282,161,534,725,500,501,282,501,500,504,500,971,503,119,649,790,500,800,282,502,282,500,503,500,282,282,500,649,800,531,504,16,800,649,502,501,502,500,501,503,500,502,500,649,649,502,500,501,500,500,502,442,800,501,107,501,504,502,282,503,503,649,649,501,501,649,502,503,501,503,800,500,649,500,800,500,501,100,502,500,500,282,800,78,270,503,649,421,502,649,501,502,502,282,500,800,92,502,649,506,800,649,501,649,649,500,504,503,500,503,649,502,503,649,866,800,800,127,649,649,800,504,500,503,649,500,500,282,500,503,565,16,502,800,503,501,800,16,649,504,503,500,649,500,107,649,500,502,501,502,500,800,502,800,800,500,503,502,800,800,502,649,649,502,649,800,649,503,503,500,500,502,501,502,649,800,649,786,502,796,16,649,501,800,649,500,649,502,500,649,501,649,503,864,501,503,500,282,800,501,501,503,500,580,502,754,800,800,500,282,649,649,500,649,649,500,501,501,502,503,501,649,503,501,625,503,503,501,800,282,500,500,657,800,649,502,503,17,800,649,503,649,800,484,682,800,107,282,16,649,282,500,501,649,649,800,16,502,500,649,503,282,834,649,500,502,282,503,502,16,800,503,649,800,502,501,353,642,501,503,800,502,502,800,503,16,282,386,800,502,800,282,649,16,501,502,800,501,800,800,800,500,500,649,503,16,649,503,502,501,282,282,781,800,649,502,649,292,502,501,644,502,502,800,141,501,152,501,649,800,500,107,649,649,800,282,502,649,649,504,504,857,649,800,503,855,504,107,16,800,503,649,734,649,295,500,503,502,501,502,502,227,649,500,875,649,760,501,649,681,800,800,503,365,503,227,503,649,282,501,503,503,503,282,500,501,800,503,282,16,501,891,503,503,502,500,501,503,500,282,501,501,501,475,282,503,500,16,649,230,503,800,500,282,800,500,649,649,500,502,624,42,649,644,282,501,501,501,503,501,649,502,573,649,500,503,800,16,500,500,649,503,282,282,500,503,649,800,301,649,501,503,282,800,502,800,502,649,504,500,500,502,502,16,649,649,502,500,502,502,502,500,649,500,503,500,502,503,122,500,16,500,503,649,649,500,800,503,800,501,501,784,503,16,282,503,502,504,502,800,503,392,503,926,800,502,800,16,758,500,800,502,281,500,502,500,107,503,503,502,649,503,502,502,502,256,501,282,649,1,800,501,501,500,502,500,800,649,419,502,282,501,501,649,502,503,649,800,504,800,501,503,800,500,503,503,649,800,500,504,800,503,502,282,501,501,649,800,500,649,187,501,502,502,503,282,501,501,282,502,503,16,896,16,500,503,500,500,502,876,800,500,13,503,502,503,649,500,504,500,500,725,16,501,800,502,800,649,649,800,649,500,649,523,800,103,16,503,649,503,282,780,501,649,800,282,785,503,503,501,800,500,501,800,649,500,800,500,649,502,800,500,503,501,501,500,649,649,831,502,503,21,649,501,502,503,501,282,501,282,208,503,800,649,535,503,76,504,500,503,501,503,501,503,501,500,503,503,502,501,645,501,649,502,282,649,568,501,213,800,503,501,649,501,503,298,649,502,183,201,500,828,503,800,500,503,503,800,501,500,503,107,504,500,800,503,800,16,649,502,502,904,501,503,800,503,649,502,113,282,500,800,503,502,501,502,502,424,502,502,502,243,502,504,282,501,500,502,500,503,502,800,501,649,282,800,649,502,649,649,282,800,649,735,500,501,500,800,502,501,503,800,800,503,503,503,501,282,501,503,500,16,16,649,502,544,503,800,649,503,501,279,800,503,500,423,503,502,502,800,282,649,170,800,503,649,501,501,649,504,800,807,270,649,503,649,649,649,500,700,649,503,701,931,921,649,16,501,503,60,435,330,16,501,501,282,800,649,502,503,502,503,275,503,891,480,800,649,502,500,649,800,361,800,502,100,504,500,500,502,282,500,282,501,282,500,800,273,500,649,502,502,282,807,502,502,237,800,282,800,800,282,649,282,502,501,16,501,500,501,501,365,500,502,607,500,501,649,249,503,649,16,31,649,282,282,492,107,649,800,519,502,649,500,784,503,504,503,503,500,503,877,501,282,649,93,501,490,649,501,800,503,503,38,800,503,500,502,16,230,503,16,503,504,800,800,501,282,649,800,500,502,502,501,502,774,503,460,500,502,282,800,209,503,503,282,282,500,502,504,501,649,502,503,135,502,649,649,500,649,503,800,282,503,294,649,800,500,502,502,649,501,494,503,800,502,501,501,500,16,800,282,649,649,800,500,502,475,143,649,503,503,800,503,282,503,16,502,502,503,503,16,649,501,502,800,649,500,501,502,502,800,503,499,800,16,97,705,502,502,501,862,502,503,500,639,800,502,890,649,800,615,282,501,16,500,501,501,264,649,501,800,649,800,502,656,282,672,501,800,800,503,500,501,800,378,500,502,501,222,502,649,501,502,502,500,503,649,502,282,649,501,282,503,502,107,800,649,649,500,800,500,649,649,502,500,501,502,282,282,800,282,501,501,502,103,282,502,649,16,500,637,282,800,282,649,501,421,930,260,649,660,503,649,100,800,193,807,501,800,282,800,501,107,800,649,500,500,16,612,181,282,506,501,500,642,504,473,500,501,500,501,502,800,501,649,503,649,103,574,800,501,966,503,649,649,503,649,351,503,649,501,504,502,800,500,501,128,368,800,282,800,16,800,649,502,501,502,502,282,663,454,649,502,500,501,500,649,282,501,16,800,500,649,845,503,500,16,503,694,502,800,649,649,501,800,649,486,649,649,501,501,503,800,645,900,503,503,172,282,501,500,504,501,503,755,244,649,837,800,791,282,501,868,503,800,503,800,387,649,500,502,16,501,501,503,80,502,500,800,500,500,502,500,282,503,501,501,649,800,649,502,402,502,218,500,800,800,503,501,500,649,501,649,800,800,501,800,16,500,800,500,503,502,609,502,48,500,501,649,649,282,649,800,800,501,16,503,649,800,503,649,502,503,502,800,649,502,800,501,649,282,500,502,282,649,800,800,500,502,500,500,503,503,501,500,985,359,91,500,502,501,799,501,502,800,502,502,800,649,501,501,649,503,504,649,649,800,502,500,649,484,16,501,800,500,500,500,800,501,503,282,502,450,503,418,501,925,16,16,171,282,469,503,501,501,282,501,500,502,649,501,800,500,649,282,501,500,501,649,899,501,16,500,501,502,490,91,800,500,500,16,501,649,282,649,503,890,500,502,757,500,800,500,282,837,501,800,649,500,502,57,908,800,649,500,501,502,800,16,500,800,649,712,502,143,502,503,500,16,282,649,800,649,504,503,502,800,501,107,649,800,649,649,501,789,504,501,504,270,649,502,502,649,502,503,163,502,282,282,500,501,503,649,504,500,500,502,282,503,502,503,800,503,350,501,504,875,800,500,649,649,500,450,16,398,501,503,687,503,500,800,649,502,502,503,500,501,649,649,501,649,502,16,649,503,649,503,503,502,8,800,503,302,649,500,800,501,800,607,800,504,282,502,649,502,501,649,282,501,501,649,649,649,501,503,501,649,500,503,800,800,500,503,503,800,800,500,649,649,503,362,501,649,500,501,103,649,504,501,649,649,649,503,649,16,16,16,649,390,501,282,502,282,500,997,504,238,500,282,649,584,667,800,504,103,282,649,649,16,501,501,501,502,502,649,800,421,16,501,500,649,16,649,501,584,282,503,503,649,503,282,502,501,502,501,501,502,501,503,282,500,503,502,503,3,502,800,16,649,500,105,207,503,621,501,800,800,503,503,502,16,649,502,649,258,649,500,500,16,800,502,504,800,503,103,501,584,500,800,800,501,500,649,503,500,800,282,503,503,32,649,502,59,500,503,690,502,16,502,501,502,503,500,649,800,800,800,503,503,502,800,503,649,800,503,500,502,282,800,503,502,649,458,502,500,500,593,16,503,800,500,502,552,501,502,501,500,500,494,503,500,503,503,500,649,502,649,503,503,503,503,649,500,16,29,648,299,398,501,575,74,503,649,389,337,503,282,500,502,721,964,318,800,800,649,500,503,674,501,503,800,500,500,16,649,503,282,502,501,503,800,503,501,503,501,501,502,502,649,501,503,503,503,500,687,500,16,800,649,503,800,649,500,248,503,282,500,502,500,503,649,948,501,800,800,501,503,522,502,502,200,844,502,814,649,503,503,649,500,502,567,500,501,800,504,807,500,901,501,800,282,500,502,29,503,800,501,500,501,502,578,502,503,501,397,282,382,502,502,649,352,800,501,501,807,649,500,107,502,503,501,321,500,502,504,350,503,503,501,503,500,800,500,502,500,504,503,16,503,800,502,800,649,501,502,730,503,502,282,500,107,649,502,502,750,500,503,649,503,282,649,471,500,800,502,501,390,502,107,502,501,500,282,501,503,501,649,705,500,500,501,504,649,800,100,116,502,16,503,502,502,340,501,334,649,502,705,500,282,500,503,821,500,16,503,502,500,504,503,649,649,500,501,502,800,16,502,503,800,501,502,504,503,501,800,800,503,649,502,800,492,877,649,503,800,16,282,649,501,282,800,649,503,501,502,590,501,649,500,649,500,800,500,103,649,121,502,501,282,502,502,500,282,502,502,500,500,649,800,282,501,501,502,500,282,282,282,649,503,558,500,649,500,418,800,502,503,800,800,500,503,502,500,501,503,501,649,501,665,502,501,501,501,649,800,502,282,503,800,793,503,800,502,503,282,649,500,500,800,500,502,502,501,503,501,800,649,649,502,500,107,500,16,503,649,800,501,869,282,502,500,503,649,503,800,16,34,500,800,989,503,42,800,649,565,502,500,923,800,250,503,500,504,502,502,503,282,649,590,501,500,282,501,800,500,502,649,800,988,501,503,500,500,800,649,502,800,501,500,501,503,649,649,800,503,107,800,649,503,144,552,800,578,800,500,501,501,473,800,800,501,502,501,504,95,282,649,16,649,649,501,502,503,649,500,502,503,503,502,103,501,16,966,649,501,502,334,500,282,501,502,503,282,649,502,282,93,649,800,800,500,503,561,649,876,500,106,501,502,502,501,502,501,282,649,502,666,800,649,503,503,501,504,503,187,500,502,500,500,649,501,144,800,481,214,501,800,500,16,503,16,502,500,503,649,503,282,503,501,485,800,500,500,502,800,500,502,41,500,282,800,649,500,503,502,282,161,649,500,501,649,501,501,503,649,500,502,588,503,282,503,503,503,800,800,500,922,997,16,502,800,800,503,813,892,501,800,649,501,501,502,501,649,500,649,501,503,649,502,500,16,502,617,503,83,800,649,649,298,649,649,481,211,649,282,501,502,282,16,501,733,649,503,503,649,649,500,649,502,502,501,649,747,500,800,502,500,501,500,500,502,500,259,16,500,369,501,649,800,649,501,282,282,91,800,282,800,107,502,503,649,282,500,503,500,501,16,256,627,16,503,282,800,184,500,502,504,800,503,800,649,800,503,502,503,800,282,800,800,502,503,103,500,504,502,501,800,500,214,501,649,501,503,500,316,800,800,501,502,501,501,503,502,282,502,501,418,502,649,500,500,503,503,501,536,500,500,649,502,500,568,500,800,501,501,502,500,219,501,592,501,875,282,649,800,649,500,208,649,282,282,502,205,800,503,504,501,282,800,503,282,502,500,649,282,996,502,501,502,503,282,503,800,649,502,649,502,772,503,635,282,501,800,500,135,503,503,500,502,282,503,502,282,500,502,501,815,800,501,800,504,502,503,800,800,282,500,500,16,503,502,649,502,800,502,502,501,282,16,282,941,502,500,758,800,503,461,503,503,501,800,800,501,503,800,503,504,649,800,501,502,501,503,501,295,502,503,502,825,800,500,503,502,800,500,501,589,502,649,649,649,501,502,503,649,503,855,502,501,483,110,500,500,649,503,503,337,503,800,501,16,502,800,502,503,501,504,429,503,501,502,502,488,649,282,649,503,503,501,503,500,501,16,500,649,500,501,503,35,555,649,649,500,502,649,500,500,501,649,425,502,649,593,500,500,107,649,800,500,195,800,800,230,800,502,366,282,649,16,800,204,501,501,649,501,800,502,502,446,800,503,503,800,503,500,502,500,500,800,488,503,500,16,16,503,649,502,501,649,649,500,502,649,503,443,781,649,500,500,500,800,800,502,800,503,501,500,503,800,502,501,966,649,500,502,502,800,282,503,16,502,800,501,502,500,282,282,502,195,503,649,503,159,501,16,282,282,649,16,500,503,501,649,500,649,501,502,705,502,503,221,502,800,880,649,500,16,501,926,501,800,501,501,800,502,649,501,380,649,649,649,800,501,649,800,309,503,16,800,500,282,502,649,800,501,800,503,282,502,501,649,649,503,502,800,16,800,425,500,800,84,502,502,800,649,500,103,502,800,500,375,501,503,500,501,963,800,649,502,800,103,649,500,500,402,282,16,282,500,800,503,502,504,800,501,314,800,502,649,503,649,502,500,503,502,800,503,649,649,800,649,107,502,504,942,500,649,754,503,243,501,501,649,503,604,503,649,649,500,649,528,500,500,649,649,623,851,503,800,356,649,800,500,501,502,432,649,501,501,107,282,649,665,502,800,107,503,500,502,649,649,500,800,502,502,503,502,500,502,847,800,284,501,649,649,501,500,458,502,501,502,503,649,501,800,984,501,503,792,282,500,649,501,503,953,501,502,463,70,501,800,500,503,500,282,282,500,800,63,502,500,503,139,503,42,649,649,501,988,800,500,503,502,649,16,649,502,500,879,800,25,502,501,155,502,503,800,649,951,649,966,649,503,800,500,800,649,649,649,649,500,16,501,502,649,800,435,282,649,800,649,800,282,649,503,282,800,500,500,282,502,649,504,500,504,500,282,912,649,501,800,649,501,502,500,502,500,649,800,501,800,384,282,649,500,503,501,501,503,500,504,502,502,501,16,502,649,675,640,282,501,500,649,508,501,502,441,649,649,500,649,800,503,649,503,501,501,502,649,502,282,649,502,282,500,326,500,501,649,503,502,722,503,472,503,502,795,649,649,502,800,800,503,501,800,282,503,503,800,679,501,649,800,286,500,502,502,800,500,504,649,658,500,501,502,503,500,469,800,649,501,800,30,800,501,800,282,503,573,501,503,252,500,282,502,282,502,503,500,800,16,394,502,282,504,502,82,199,282,501,769,502,649,551,649,282,501,500,500,649,838,466,649,649,126,502,317,649,800,501,282,503,800,501,800,649,504,503,800,649,501,666,184,500,649,502,502,500,500,501,501,649,649,510,282,502,500,504,649,503,790,649,282,502,503,989,502,427,649,510,649,501,903,502,649,705,50,502,502,16,503,503,502,501,800,649,503,800,502,649,800,503,16,800,895,503,501,800,649,501,257,500,16,501,831,502,107,282,649,800,502,815,649,52,649,610,502,649,16,649,807,501,503,502,501,282,503,501,500,501,503,680,480,501,503,795,502,119,502,500,282,501,501,501,502,649,800,500,503,282,501,649,502,649,649,502,502,502,501,234,282,501,649,346,502,502,503,800,800,103,16,501,689,943,500,503,147,649,503,503,800,649,502,501,501,502,23,501,503,501,503,500,503,800,649,257,500,800,503,503,501,688,470,619,502,649,502,500,501,502,502,282,462,503,16,800,840,95,501,649,502,649,503,503,649,500,649,501,500,502,503,858,800,800,800,16,781,242,504,282,221,649,800,503,500,502,500,32,649,771,416,502,800,503,503,503,649,282,282,800,502,800,282,877,649,619,800,107,828,500,649,500,502,649,502,501,501,282,503,500,649,84,322,503,800,502,16,649,800,103,499,507,649,501,649,500,501,500,693,502,500,502,107,500,649,504,800,649,649,503,501,800,500,649,800,500,649,501,90,503,501,500,649,501,502,503,800,501,500,107,501,502,282,282,282,503,504,501,500,455,954,800,501,282,503,503,994,502,504,800,800,501,500,503,649,501,500,501,501,800,500,846,500,500,800,502,500,910,502,649,500,800,501,649,649,649,172,649,649,503,649,503,713,500,501,503,500,503,16,649,500,503,500,16,502,503,640,649,800,800,649,500,649,126,800,649,501,800,649,649,503,800,649,16,649,503,503,503,501,502,503,917,501,502,504,500,282,649,503,501,16,603,282,913,800,501,649,649,500,500,504,789,500,501,503,649,500,800,503,500,444,502,801,503,500,800,501,504,800,649,107,746,503,800,503,800,16,800,500,500,16,800,501,501,800,503,502,501,503,502,16,501,501,649,500,502,502,230,649,282,501,800,16,500,282,502,720,650,501,649,725,282,649,500,649,800,103,502,282,649,503,282,246,500,502,503,691,282,800,502,800,649,649,107,970,503,500,503,500,813,501,501,502,502,502,800,611,830,501,16,500,649,282,503,649,503,800,800,107,125,800,500,502,800,649,500,503,800,738,501,800,107,649,501,502,712,502,282,649,501,537,503,503,649,500,320,502,800,800,502,501,502,501,800,502,468,503,501,503,800,500,503,503,705,800,54,500,800,502,35,501,501,282,800,501,703,502,500,501,501,649,500,800,500,500,282,503,501,649,502,503,649,500,503,705,502,503,501,679,107,501,649,16,500,503,500,649,800,800,501,503,114,503,800,800,800,800,107,501,15,282,502,501,503,503,649,503,422,715,502,20,500,698,501,503,503,502,756,800,34,501,800,504,501,503,500,649,500,503,302,649,649,803,502,501,649,502,500,107,502,502,800,502,16,501,282,501,649,500,898,17,500,500,503,503,502,649,455,282,502,502,504,501,800,649,500,501,524,800,8,503,800,763,503,800,500,282,502,500,503,554,16,16,800,503,16,502,502,723,649,501,500,282,16,167,800,924,16,502,649,501,800,503,16,800,132,103,663,502,800,649,500,103,502,107,319,502,167,501,502,906,649,504,500,475,107,502,649,679,800,503,503,502,501,502,500,502,800,354,282,649,500,501,502,16,649,800,503,396,824,500,503,282,542,282,503,800,800,90,800,50,282,649,994,800,503,282,503,16,500,502,800,16,504,649,442,503,136,649,501,503,502,800,502,649,502,16,649,501,501,432,502,800,500,503,800,501,502,649,504,500,800,282,390,502,360,649,817,282,500,649,503,649,16,282,800,292,649,800,501,501,800,500,282,502,800,16,502,502,503,502,649,501,182,800,504,16,500,500,502,502,282,502,800,500,287,502,502,502,800,502,649,282,501,649,649,800,579,800,501,501,649,282,800,500,282,800,502,502,407,282,500,502,501,800,501,501,649,501,800,282,502,800,501,502,800,649,501,649,800,502,500,501,649,282,500,800,502,501,503,501,649,800,386,501,500,282,500,502,501,374,800,503,512,503,16,282,103,502,103,500,504,501,500,649,16,800,501,503,504,795,649,800,412,800,504,649,502,800,800,800,501,504,500,502,649,107,503,16,800,649,649,229,500,282,504,649,649,502,501,501,501,800,733,210,501,863,502,800,649,503,800,649,503,502,16,43,502,649,501,501,503,500,503,502,503,501,800,501,502,502,501,500,503,502,649,500,649,800,500,502,800,282,787,800,503,361,503,503,501,261,800,649,800,500,148,359,504,649,649,282,207,16,16,502,800,500,500,501,500,649,282,503,501,502,451,502,502,500,503,649,107,500,501,500,501,500,649,503,128,502,800,782,800,649,282,282,800,483,502,500,649,501,503,414,35,16,500,500,50,649,271,500,501,502,864,800,800,800,501,489,503,501,800,649,502,649,800,500,649,502,649,504,649,800,500,501,503,649,501,503,502,501,503,503,501,618,501,503,503,970,649,989,500,282,503,500,503,503,502,500,800,282,500,504,503,504,500,500,800,649,107,500,316,500,501,715,500,528,501,120,500,503,800,500,502,282,587,800,501,800,724,649,500,503,312,800,503,547,503,800,501,503,800,649,501,649,214,504,282,800,649,800,500,502,503,501,649,503,800,649,107,649,502,500,502,649,649,282,282,46,500,649,503,502,16,500,282,500,649,500,800,649,500,500,800,649,501,282,502,502,502,503,502,502,649,502,503,500,503,16,649,501,501,800,282,502,500,503,503,502,282,733,649,502,501,500,504,800,501,16,649,451,649,282,649,282,504,817,502,501,190,649,800,800,503,503,649,503,649,500,500,800,501,800,503,503,16,501,503,500,503,500,649,502,503,495,800,500,501,649,103,500,500,501,16,800,503,503,503,501,800,500,503,649,800,503,265,107,911,649,501,649,503,524,503,501,984,501,649,282,649,502,502,501,863,500,800,800,554,500,503,501,503,480,649,501,500,956,501,16,503,934,500,501,295,502,488,800,649,501,800,500,103,800,800,86,800,502,282,503,502,649,503,500,800,976,500,500,502,308,502,500,649,501,800,418,501,800,985,504,502,503,16,282,503,504,501,504,503,800,649,800,800,502,16,502,649,501,503,501,502,504,282,649,500,503,501,800,500,932,282,501,282,503,649,800,503,501,502,502,500,282,502,649,210,102,501,649,649,500,501,500,503,800,282,800,502,500,502,800,500,16,282,800,800,282,503,800,265,958,945,502,325,931,502,501,502,502,16,649,282,138,800,501,800,16,503,500,800,501,496,500,500,649,705,649,500,850,500,501,502,501,282,282,720,93,500,800,649,500,282,649,501,503,802,503,294,800,658,502,282,16,501,128,649,649,282,501,649,800,649,503,502,501,649,282,500,649,503,800,502,500,502,137,502,504,327,295,649,503,503,282,16,800,649,500,502,503,501,649,800,503,500,503,800,504,16,96,336,504,501,503,649,500,501,503,500,503,504,649,282,800,16,800,500,800,503,649,800,500,503,500,800,500,649,500,503,540,800,649,503,899,579,503,503,649,501,107,800,500,501,963,503,502,500,593,503,63,649,282,649,502,500,800,107,503,501,501,800,16,649,502,502,586,502,501,843,503,466,503,800,503,503,502,800,503,501,800,502,282,501,800,501,649,500,502,282,800,800,304,386,649,503,503,502,800,502,649,500,503,503,501,649,501,500,503,500,710,800,503,502,16,503,456,502,800,503,502,503,277,582,527,649,603,502,503,503,500,355,427,800,305,632,503,502,917,649,501,282,502,647,282,649,501,218,649,501,500,501,282,502,500,750,649,764,500,649,504,649,502,504,501,16,500,500,107,800,501,282,649,800,501,504,503,16,502,500,500,500,649,503,504,502,649,253,500,282,502,503,705,16,501,16,500,996,649,282,800,501,16,504,500,649,502,503,800,800,705,72,503,571,503,500,800,501,649,502,501,340,500,282,503,501,501,606,649,282,649,103,501,649,502,502,117,503,500,504,503,800,649,649,500,502,502,502,503,502,649,503,904,500,107,282,503,649,282,649,649,502,800,800,800,501,216,501,501,649,501,282,500,501,502,649,501,503,282,503,500,649,649,500,649,649,503,980,800,502,503,649,649,502,948,90,282,649,503,366,282,800,502,502,501,500,649,282,16,770,800,649,501,503,107,503,501,501,800,581,503,500,649,504,649,500,649,501,500,282,501,800,16,649,16,503,501,502,705,500,800,503,30,500,649,649,577,504,500,501,501,503,501,501,649,503,501,649,501,504,500,800,503,800,504,800,501,649,501,503,503,800,800,500,502,649,502,501,500,502,500,649,800,649,501,258,503,501,500,649,503,649,503,16,501,807,502,137,503,502,504,282,16,532,501,282,103,842,649,500,282,502,649,649,800,503,501,800,150,649,500,500,800,649,800,500,502,503,501,500,500,500,503,800,501,503,503,649,501,659,503,800,502,282,502,502,501,504,649,503,258,502,503,503,503,800,502,649,502,503,502,503,800,502,503,501,500,134,500,502,282,502,649,501,930,649,503,500,500,501,503,649,504,463,649,501,501,282,501,501,502,501,107,502,31,469,649,503,671,503,502,502,502,649,579,502,501,430,705,501,502,502,16,500,500,503,500,502,282,500,282,282,282,649,500,503,502,42,649,800,649,503,503,107,107,502,891,481,504,502,503,502,282,282,800,800,649,282,503,705,649,649,143,437,649,649,502,500,500,800,502,500,649,282,831,503,503,282,502,649,16,282,590,282,753,500,800,800,500,649,810,282,800,731,800,800,800,800,800,503,282,107,504,282,104,503,100,261,282,282,500,504,502,503,649,800,503,649,800,503,500,501,502,502,501,501,501,282,282,649,502,502,800,268,503,500,500,800,888,282,500,197,500,16,800,855,649,800,503,226,501,679,503,855,649,12,503,800,500,282,649,501,800,500,503,503,649,503,16,503,502,500,649,500,282,500,649,415,800,501,649,500,816,503,500,649,800,503,649,649,501,502,503,282,503,501,501,501,501,503,503,332,501,312,501,500,16,800,649,502,502,501,800,800,649,503,282,502,282,500,800,800,494,503,649,500,500,500,504,173,282,230,800,503,500,502,502,501,435,500,502,843,800,705,503,501,800,649,940,680,681,920,649,500,16,502,800,649,501,681,501,800,144,503,502,500,503,47,503,501,800,500,282,503,649,800,800,500,800,282,649,500,502,502,500,649,502,800,500,800,503,501,502,502,725,501,500,16,502,649,923,502,649,502,503,649,501,800,649,501,500,501,800,500,800,800,552,500,800,501,501,501,282,504,500,253,649,503,649,16,649,500,282,500,501,800,503,502,503,500,502,502,649,501,282,502,16,649,800,800,500,502,800,500,282,166,503,503,826,829,502,649,502,503,502,800,493,503,502,503,502,282,500,500,649,500,501,584,16,800,800,649,282,502,282,501,503,806,649,500,16,649,503,500,503,282,500,503,244,501,501,649,800,282,800,569,286,501,501,503,649,500,502,503,502,501,504,800,800,502,503,524,103,649,649,599,649,503,503,500,282,500,998,502,501,107,800,800,502,502,649,502,800,502,500,503,504,649,503,247,503,282,800,502,503,800,16,134,107,503,649,282,502,502,502,500,502,800,649,500,560,504,800,502,503,282,800,502,502,649,16,502,107,892,800,649,771,800,800,502,961,501,503,451,501,500,503,800,649,604,16,800,500,649,503,800,26,299,649,503,501,502,503,16,503,103,503,800,501,503,503,800,504,501,282,501,800,501,208,504,649,503,649,800,503,500,16,500,282,16,800,501,649,369,649,128,649,502,501,502,800,649,500,800,502,800,846,502,800,500,500,501,448,503,649,649,800,503,16,502,282,500,282,500,502,282,282,501,800,503,501,800,502,500,500,500,500,502,742,503,649,503,800,800,355,503,503,282,503,502,502,8,340,501,500,502,985,502,282,103,503,282,500,501,800,649,501,103,502,500,282,500,500,649,800,502,744,991,375,649,501,303,800,503,502,500,57,500,649,800,501,502,500,504,503,649,502,649,800,649,128,503,500,800,282,282,800,649,502,502,800,649,500,800,500,503,502,501,16,800,503,800,504,503,502,503,500,282,630,253,800,503,874,145,500,502,502,649,668,503,501,503,649,501,957,502,502,504,502,501,282,282,649,748,683,501,501,282,649,744,503,500,649,16,646,282,500,800,502,502,500,800,502,649,16,800,800,500,503,16,649,502,800,500,503,503,800,800,800,731,800,500,502,501,635,282,800,500,800,940,800,543,501,649,649,147,515,502,502,500,800,282,252,800,800,502,501,649,800,649,500,800,502,503,501,629,649,500,404,724,501,502,503,649,282,649,800,800,103,649,851,16,807,800,282,501,800,501,500,503,282,800,502,16,500,282,800,16,844,501,591,649,16,501,800,503,108,649,800,501,282,282,501,202,649,502,750,649,502,501,649,800,500,504,16,503,502,501,368,378,500,500,838,634,800,503,649,500,503,502,501,649,649,16,35,406,501,500,800,800,504,800,282,364,800,800,16,800,416,502,20,996,429,649,78,501,800,151,939,649,501,282,500,800,500,417,649,649,850,482,501,16,880,282,282,503,800,16,800,503,103,502,502,800,649,502,16,500,800,500,800,502,649,503,649,502,500,500,502,503,500,16,502,800,649,809,502,503,282,501,501,107,649,503,503,649,503,502,649,242,502,880,502,649,649,501,500,483,500,282,649,503,503,800,502,500,503,649,282,800,192,503,501,502,500,501,16,800,800,16,502,503,59,649,500,649,501,649,800,502,51,501,503,500,107,502,800,800,503,502,800,649,500,217,503,500,503,800,16,503,649,123,503,800,502,282,502,502,282,282,500,503,55,501,649,282,502,649,501,649,800,800,500,800,16,237,800,502,503,503,501,502,649,502,336,16,800,504,800,501,502,800,772,501,500,500,503,500,800,103,501,502,649,277,500,500,501,503,501,500,499,649,780,800,502,500,800,800,500,282,800,800,282,503,16,501,500,282,800,502,502,501,502,649,500,501,503,816,103,562,919,512,282,502,649,500,503,501,649,819,501,503,500,503,502,16,800,649,504,502,502,204,282,649,649,649,501,503,501,282,16,287,649,500,800,705,800,282,502,800,500,500,282,504,502,282,649,800,352,502,501,503,282,502,501,800,773,502,649,397,500,500,503,800,501,282,500,503,649,500,159,500,170,503,504,500,503,649,503,503,502,649,501,258,649,282,501,649,800,282,649,800,800,502,107,800,649,777,16,502,649,503,134,800,158,103,503,889,649,800,503,499,500,500,501,16,800,385,649,649,649,501,503,800,322,503,800,501,501,501,502,503,501,800,502,502,649,16,16,326,16,649,909,649,725,503,282,649,512,181,502,282,282,16,503,500,503,542,716,282,503,502,800,800,800,751,800,800,984,501,649,800,500,503,502,503,501,501,800,800,282,649,800,800,12,500,800,503,649,649,800,800,502,946,387,800,282,500,501,800,861,282,282,913,800,649,716,649,502,815,500,800,500,501,501,81,501,800,797,503,29,503,500,503,282,649,800,116,502,865,800,503,503,487,16,282,800,503,800,506,649,16,800,502,107,605,503,503,678,282,503,501,500,282,502,282,503,67,800,503,503,501,649,504,649,500,501,649,282,649,800,503,800,649,649,501,800,500,500,649,16,500,800,502,649,501,503,649,503,502,800,501,16,800,649,500,649,367,649,500,502,504,13,649,800,282,500,819,500,500,800,649,628,503,503,800,16,282,505,501,649,502,502,502,465,500,500,501,460,609,282,800,504,502,282,800,501,500,282,502,503,502,502,649,649,501,501,282,800,503,16,268,800,503,500,800,800,800,103,800,502,136,649,649,501,500,501,502,502,501,800,503,502,813,16,649,800,501,162,800,500,500,500,565,282,501,16,254,500,282,501,503,502,502,693,502,500,501,731,649,800,800,501,16,800,359,500,500,500,500,503,501,123,502,502,500,107,649,503,649,501,649,501,502,501,800,16,107,503,649,977,800,649,501,503,800,800,266,649,859,500,501,16,544,500,500,502,649,282,500,501,649,800,502,649,282,649,800,501,501,16,501,589,500,503,107,502,503,502,500,503,500,382,501,500,501,649,502,812,501,800,502,282,649,503,649,872,649,649,16,53,500,649,500,500,649,500,501,766,501,800,649,501,16,503,501,16,501,501,800,800,503,649,500,503,500,681,501,503,500,800,502,800,501,649,503,800,500,500,509,800,502,503,649,842,502,502,649,500,502,503,16,503,500,500,16,504,503,800,501,502,16,503,649,282,503,834,649,503,282,501,503,747,502,502,649,282,16,139,800,503,501,77,800,800,502,282,800,501,282,494,502,800,800,503,503,649,800,80,800,500,532,282,501,115,501,399,502,501,410,502,800,503,581,649,800,503,114,848,500,500,503,503,501,932,500,502,501,831,503,500,500,800,502,503,503,800,500,503,800,800,265,501,502,459,850,502,86,502,503,649,649,501,501,503,501,503,503,503,16,501,107,502,282,503,800,503,590,649,503,503,16,500,503,103,502,502,107,502,282,502,649,500,16,501,649,651,500,649,649,502,500,800,500,503,490,502,800,501,503,678,502,649,502,503,681,649,500,557,500,503,504,745,501,503,107,129,369,501,501,503,503,502,503,502,800,800,501,649,649,501,501,500,500,500,800,500,649,500,282,501,282,500,504,502,800,502,501,16,502,890,800,500,500,701,282,282,500,503,800,16,902,503,800,282,237,500,800,500,103,649,500,501,502,502,649,649,800,711,282,682,16,800,500,501,503,503,502,503,500,649,800,193,321,502,502,530,649,107,502,501,800,800,502,501,503,16,649,800,502,649,800,502,649,800,649,503,649,807,716,800,500,501,800,649,16,800,500,502,800,500,706,16,649,500,500,282,501,133,649,503,992,935,503,649,649,649,504,501,800,504,800,502,282,502,503,800,103,500,282,867,394,502,628,649,800,502,503,500,656,503,502,503,503,503,501,503,282,500,853,500,800,491,502,649,502,503,649,501,503,800,503,503,800,500,282,282,415,500,649,502,800,501,500,500,649,800,649,501,500,501,16,45,502,800,282,282,800,503,503,502,78,502,16,800,502,800,501,503,649,502,282,503,649,503,800,800,16,500,501,500,502,500,800,503,182,336,500,102,282,502,800,503,800,501,501,500,479,501,500,500,501,19,800,504,502,800,800,827,501,53,503,502,501,282,500,500,787,282,501,501,800,16,649,500,649,502,500,502,649,503,503,282,107,282,282,501,502,800,649,649,502,500,502,502,501,800,501,503,503,335,649,800,16,500,502,761,502,503,337,503,503,503,500,649,800,501,500,503,502,502,501,5,501,506,16,501,16,649,595,195,503,282,503,501,501,445,501,502,649,503,649,649,500,649,649,501,282,649,22,500,282,282,501,500,501,282,800,500,502,501,706,649,502,503,500,503,500,500,500,282,502,501,800,649,707,282,800,503,63,800,501,502,649,282,609,682,649,501,11,282,501,3,705,502,503,649,649,16,282,649,502,502,433,502,502,649,165,649,503,501,282,500,500,503,649,649,502,502,500,588,707,800,800,503,800,649,500,614,503,502,501,503,649,503,649,59,895,16,800,501,501,415,216,500,503,649,503,501,501,500,503,649,649,502,910,649,618,504,502,503,503,501,70,649,500,500,891,503,144,503,933,502,503,649,649,800,624,800,649,503,500,649,649,500,500,503,501,501,669,501,107,282,800,800,500,502,502,502,484,503,501,501,12,649,649,649,502,502,501,500,501,282,500,378,800,171,501,500,502,503,503,800,746,282,328,503,502,608,503,500,502,503,800,501,63,282,502,502,282,282,501,502,296,500,501,643,502,649,829,503,16,800,714,501,502,649,800,502,501,743,649,282,501,649,503,502,503,500,500,500,800,800,503,500,282,501,800,500,282,649,649,800,502,16,501,503,502,649,500,282,649,282,649,503,800,251,649,649,649,649,800,500,800,58,502,16,642,649,503,100,282,800,502,107,546,509,800,502,501,501,502,500,502,500,503,501,500,501,474,282,800,502,501,502,500,649,503,459,501,502,649,503,878,501,649,501,503,714,800,501,649,503,800,500,800,800,501,502,500,500,16,636,856,282,701,502,504,800,663,502,503,690,428,800,649,649,503,503,501,800,16,282,501,649,649,800,282,649,282,529,501,501,282,500,800,103,282,500,502,500,502,800,500,502,503,502,503,501,741,504,501,502,70,631,500,16,501,503,502,501,800,800,649,503,800,502,474,502,800,501,800,107,173,266,16,501,503,800,500,502,649,503,649,723,800,502,501,649,800,501,500,16,947,501,501,282,341,800,500,503,590,504,502,502,283,649,503,502,361,501,503,800,502,800,502,800,504,826,500,199,504,649,502,500,236,649,501,800,503,800,501,454,649,144,282,800,501,500,503,800,649,501,502,504,179,423,503,800,649,282,503,282,502,501,649,501,500,500,785,500,503,503,649,398,800,503,670,502,800,503,425,649,902,281,800,501,24,800,501,800,501,503,501,800,209,482,503,800,649,347,500,502,282,805,501,649,800,800,500,800,503,501,649,282,502,282,800,800,503,501,74,501,800,668,649,502,418,500,500,501,16,503,501,394,537,649,649,282,649,649,649,624,500,800,503,500,502,800,502,16,501,501,800,649,649,800,649,282,503,502,610,503,323,503,649,503,502,504,800,675,502,500,659,754,649,268,800,501,502,500,503,502,800,503,502,500,503,501,18,502,502,282,16,501,500,16,502,504,649,21,501,501,500,501,501,504,504,503,500,501,502,501,501,501,649,501,993,502,502,800,800,649,501,501,282,503,649,501,501,780,649,490,502,938,974,800,501,800,503,500,500,800,663,800,682,649,500,500,503,502,500,649,500,500,282,649,800,503,501,503,501,502,800,649,500,800,16,502,800,529,501,705,800,504,282,800,807,502,501,649,501,503,501,945,675,500,282,800,649,282,500,107,501,500,501,502,636,800,501,503,500,474,503,800,501,677,503,94,501,977,649,282,500,500,282,503,503,365,504,502,501,800,571,800,649,566,649,502,127,800,500,94,502,495,800,503,503,16,501,649,625,502,501,501,649,500,500,649,501,16,411,502,500,503,500,241,800,503,500,503,503,500,501,501,500,502,649,167,649,649,783,500,649,503,800,800,502,649,16,501,51,501,500,350,800,649,391,501,500,800,502,503,502,800,500,502,649,502,501,649,632,402,501,800,500,16,649,501,830,501,990,649,649,503,432,502,649,501,501,800,800,16,16,180,503,503,659,503,502,282,503,502,503,502,800,503,500,735,282,370,501,282,649,502,800,800,503,501,501,800,503,500,187,519,501,500,282,502,281,502,948,649,501,16,649,502,800,502,282,800,282,649,502,500,501,800,500,649,500,282,649,503,503,502,519,500,111,501,501,503,800,800,800,503,501,501,649,800,501,500,800,502,396,988,800,649,380,501,500,282,500,649,690,503,110,649,502,652,502,354,501,503,502,800,500,500,16,4,502,500,501,649,26,503,282,502,503,800,501,501,500,501,528,649,501,501,503,800,500,649,502,800,907,501,500,504,503,649,503,800,500,502,582,503,649,502,649,649,501,501,501,500,502,501,500,800,649,16,649,282,500,503,500,502,649,503,503,282,282,500,502,477,503,282,501,500,500,649,195,649,503,500,16,649,501,503,282,502,506,674,500,282,502,800,501,929,500,503,502,649,630,503,16,500,678,697,500,500,500,883,351,500,501,502,649,500,174,649,502,502,502,632,282,503,501,501,503,800,503,142,800,762,649,800,800,649,800,504,282,503,503,502,503,282,16,503,298,502,504,800,800,16,501,500,282,282,502,837,500,239,503,500,500,282,501,500,866,251,502,800,500,503,407,259,649,649,503,500,649,500,800,649,504,131,649,502,669,502,649,800,503,500,627,103,500,879,282,503,501,649,501,503,502,503,502,500,504,503,282,649,800,503,503,649,501,500,500,124,881,504,800,649,502,501,503,282,502,649,899,282,500,504,800,503,501,502,503,789,800,502,501,282,800,435,649,500,282,502,502,501,503,16,500,649,800,502,504,649,303,502,800,282,502,502,282,649,282,502,16,402,649,282,618,503,500,500,503,502,501,502,501,649,649,800,500,16,71,502,502,501,501,502,504,16,502,894,501,401,500,503,282,649,503,503,282,500,649,500,501,500,746,502,503,502,649,16,800,649,575,649,502,500,213,706,800,610,501,482,503,501,654,277,502,500,500,335,649,800,502,282,501,800,501,649,501,649,315,800,649,800,282,503,651,500,649,503,501,502,500,591,500,800,800,500,282,500,500,500,566,501,649,502,501,502,503,503,502,502,649,503,107,501,501,649,649,103,800,800,649,108,649,282,501,1000,501,503,503,500,503,800,500,649,503,705,649,504,800,649,797,503,501,16,800,502,649,502,504,500,503,502,107,504,649,800,503,58,800,501,650,282,500,502,502,282,503,502,649,649,800,553,800,800,649,649,502,503,501,503,67,800,503,503,649,501,502,696,800,501,378,649,501,503,735,501,503,654,282,500,502,282,525,502,800,503,500,649,474,502,649,503,503,649,501,500,595,503,502,16,500,649,649,649,503,500,800,500,800,500,16,502,649,500,502,540,503,800,501,500,649,502,501,282,800,500,649,282,502,59,501,500,649,501,503,282,502,649,82,502,282,500,784,504,502,649,16,503,800,502,501,500,282,649,642,500,800,503,800,502,16,500,649,501,500,471,16,649,800,502,500,501,210,649,16,649,800,16,59,501,649,282,503,474,500,503,971,500,500,503,429,503,502,282,502,502,500,800,282,282,800,11,282,500,800,649,503,501,649,649,500,502,800,502,500,502,649,502,16,502,649,503,649,400,502,500,502,501,501,282,503,501,501,500,649,502,501,282,502,500,103,502,649,504,800,800,501,500,800,649,502,744,16,636,800,503,649,503,503,800,501,500,501,502,800,800,500,649,502,501,282,649,502,800,501,504,503,282,502,649,503,501,501,501,649,503,681,659,184,649,282,282,162,501,339,649,282,503,500,649,502,273,649,503,502,503,501,503,503,501,107,501,800,649,649,503,282,500,501,282,502,282,502,486,500,586,502,649,800,503,429,652,175,503,973,800,282,282,500,502,649,282,649,501,645,722,800,800,502,16,503,501,282,743,777,502,500,649,501,282,16,501,800,207,501,664,504,247,501,800,800,686,282,226,501,503,500,800,649,800,282,500,750,800,800,502,501,282,501,501,282,503,16,800,503,649,649,800,169,502,502,501,282,503,800,282,502,800,16,501,502,203,282,501,502,503,772,502,501,282,500,503,500,500,637,649,649,421,502,649,500,107,800,501,800,501,755,698,735,503,503,800,282,502,107,649,501,503,502,705,501,500,503,649,500,800,502,503,774,503,282,649,502,500,502,649,33,501,649,649,697,500,926,175,800,597,500,503,503,649,649,500,282,503,800,503,500,501,649,503,502,699,503,2,500,800,500,282,601,282,649,16,501,503,800,283,661,103,282,649,649,204,503,649,503,502,503,800,800,649,649,501,142,296,500,503,16,504,282,232,649,503,282,501,503,705,16,800,503,501,501,503,500,385,16,282,501,221,502,464,800,502,800,357,501,503,500,501,800,800,800,500,649,501,503,16,501,800,501,501,16,500,649,984,785,649,649,501,500,800,649,500,800,800,500,547,500,501,502,502,502,502,649,649,500,800,649,649,502,649,800,282,800,649,501,649,369,282,800,800,503,349,282,16,16,501,649,503,502,282,282,800,649,503,503,141,800,502,800,502,800,503,649,503,502,501,800,500,500,16,500,503,501,503,649,502,800,500,501,501,500,453,581,753,800,501,649,500,501,800,282,501,501,649,135,951,503,500,500,501,500,500,500,502,500,904,503,501,500,49,500,503,501,503,649,300,502,501,912,800,502,502,500,649,800,649,503,502,800,500,500,212,649,800,103,500,282,503,503,649,502,649,89,501,502,282,502,649,502,502,501,649,439,502,800,649,501,508,579,636,800,500,501,503,502,649,800,500,665,501,975,833,504,501,649,500,204,800,500,502,793,503,800,500,502,74,502,800,503,503,503,502,503,800,503,850,500,649,503,502,502,649,503,649,500,649,282,503,501,500,107,504,500,649,800,501,649,709,282,391,800,649,502,504,800,16,461,502,800,562,649,501,502,500,649,282,500,800,623,282,500,282,500,501,800,501,500,649,504,500,503,502,800,501,649,503,503,503,800,16,3,282,649,649,8,320,500,503,500,637,282,501,501,700,502,800,649,800,800,503,649,800,501,502,90,649,649,500,502,800,500,502,588,501,800,438,502,800,16,527,800,800,800,502,800,800,500,500,500,800,649,16,500,800,503,282,501,502,800,500,502,649,21,103,503,503,649,800,502,500,501,500,503,503,503,654,500,16,937,503,649,80,800,800,503,501,906,107,501,503,649,502,16,800,705,501,502,643,589,649,649,649,539,800,501,502,288,503,502,504,649,649,282,500,122,500,16,502,652,500,501,500,503,649,503,16,500,503,501,61,501,502,501,705,800,800,500,500,800,649,502,16,501,649,503,800,500,500,504,501,502,649,649,501,558,800,500,501,500,502,503,500,800,126,502,649,503,503,772,502,502,282,501,503,503,504,501,649,649,103,16,800,649,503,807,502,501,649,649,503,800,502,16,649,503,504,502,800,503,503,500,649,282,503,649,621,800,649,502,800,649,800,800,649,800,503,282,504,502,649,503,502,501,649,502,500,502,500,800,979,649,800,504,500,503,72,502,501,800,502,503,503,503,16,503,503,501,649,800,502,500,649,649,501,800,500,125,501,504,501,501,501,500,880,649,500,500,800,502,503,501,16,503,501,126,503,282,500,501,800,437,502,649,637,16,500,352,649,501,502,500,873,503,500,807,16,504,282,800,16,500,800,282,649,504,502,501,800,502,501,800,500,502,727,282,500,800,502,502,800,649,282,504,769,500,860,501,649,352,649,502,501,502,800,142,501,500,502,503,500,501,502,800,501,16,649,500,649,800,16,800,282,500,504,108,469,503,502,500,16,501,649,649,759,800,107,502,503,500,501,649,649,854,501,103,503,501,503,503,502,500,501,502,500,351,500,807,504,500,501,16,746,501,501,282,800,500,502,649,502,500,502,649,800,93,156,282,500,501,503,800,501,503,500,501,149,282,800,649,399,800,800,649,16,503,282,501,735,328,503,359,800,500,153,282,800,137,501,500,649,502,649,800,649,800,649,705,503,800,501,503,502,501,502,800,649,501,501,502,500,502,800,649,450,500,502,800,502,16,782,408,75,282,649,607,480,504,282,800,503,500,502,503,649,649,649,800,800,16,500,800,501,649,16,103,649,503,629,503,500,813,501,503,649,116,502,501,503,282,502,501,282,502,800,500,501,503,649,649,800,658,16,503,800,800,649,282,501,970,16,341,501,503,204,649,500,500,502,649,800,502,441,504,282,504,503,500,16,501,502,502,502,282,649,502,504,16,500,581,800,800,501,501,800,282,500,800,503,49,502,503,514,503,649,500,503,500,503,500,649,503,500,300,501,800,500,501,501,500,649,500,387,521,501,649,501,502,500,503,502,649,282,502,979,503,500,501,503,374,800,501,502,501,503,502,800,649,129,503,96,800,282,108,501,282,364,649,800,127,503,16,649,504,501,167,649,649,800,649,502,800,503,800,502,501,503,861,966,504,501,503,501,503,800,800,800,500,502,649,649,282,16,492,503,501,500,503,62,502,800,502,800,517,894,895,503,800,649,500,16,16,722,107,107,503,649,502,649,282,500,649,501,501,282,502,502,502,669,595,501,649,756,800,501,800,501,800,503,504,800,282,649,307,649,649,502,502,800,794,769,501,649,502,649,503,500,500,649,502,800,649,502,500,500,800,800,500,512,503,800,501,502,649,500,800,500,282,502,501,500,503,346,990,800,500,800,800,503,501,800,12,500,649,649,800,282,166,501,500,500,412,649,800,649,503,501,800,792,502,503,66,501,504,500,89,500,501,503,800,649,502,649,501,107,500,503,794,800,501,649,503,504,225,686,502,503,502,800,503,500,103,503,940,107,500,501,502,502,502,649,773,501,800,502,244,503,800,649,503,282,500,800,502,500,649,800,829,113,800,804,503,800,503,501,502,500,501,501,500,800,501,649,500,501,107,503,282,502,501,502,800,282,800,800,800,502,480,500,500,282,649,800,629,107,500,165,500,502,503,789,362,501,649,607,500,800,715,800,800,501,500,501,503,282,156,501,502,501,649,501,500,503,395,800,504,282,501,503,107,800,800,504,800,501,649,800,503,500,500,501,800,503,502,502,282,649,800,501,503,502,905,282,502,649,502,649,649,975,800,502,503,799,282,501,893,503,500,501,500,800,705,107,502,800,502,502,500,649,500,501,500,502,649,503,501,501,502,501,501,500,504,504,800,502,282,649,500,500,649,500,649,800,502,282,501,501,840,500,282,500,501,16,91,502,502,649,649,502,877,501,282,649,800,282,192,282,500,503,800,503,649,649,16,500,502,16,502,500,502,282,649,500,107,282,900,282,800,23,649,649,16,282,502,502,500,800,502,501,282,649,502,502,502,800,649,282,503,649,649,501,45,502,502,503,502,773,500,502,649,502,501,503,501,16,649,501,279,282,649,501,503,502,800,500,501,649,500,649,800,500,500,282,649,282,800,503,501,501,502,800,500,800,282,504,16,649,501,157,649,800,501,800,504,502,75,282,800,500,649,504,500,502,16,649,500,107,852,649,147,502,107,501,16,649,298,16,649,426,302,500,649,188,500,503,502,503,501,500,16,649,282,503,501,282,503,500,16,282,748,502,649,501,501,807,672,502,500,500,503,501,503,500,649,500,503,282,550,800,502,649,503,503,501,649,503,502,107,282,649,503,364,649,800,649,504,501,282,501,800,502,226,649,800,500,501,502,800,503,107,501,501,502,765,500,502,649,282,919,282,649,503,500,500,500,502,800,503,500,649,517,503,282,415,502,503,649,649,800,649,800,800,500,500,501,501,282,501,282,500,16,503,500,800,800,649,500,649,502,502,649,649,501,502,132,502,501,103,504,503,502,649,502,503,800,649,803,800,902,127,500,800,649,501,503,503,729,502,16,502,500,500,501,502,903,649,640,502,500,500,609,649,501,800,502,649,800,649,502,906,282,741,500,502,355,501,800,649,649,649,107,649,503,500,500,800,981,649,500,502,649,501,649,503,800,503,800,88,501,649,503,500,502,502,502,501,800,501,503,501,503,510,503,1000,500,800,899,501,502,800,500,800,649,503,500,502,503,503,153,440,649,649,503,282,282,800,503,500,503,282,800,282,504,282,800,502,502,501,649,649,502,502,501,503,501,501,16,503,649,843,649,502,503,504,800,649,501,501,649,649,282,800,800,501,396,502,502,501,649,16,500,502,500,502,649,800,107,649,502,800,649,502,800,500,680,715,502,649,500,500,649,16,504,501,282,502,502,503,501,282,503,105,800,503,504,502,800,503,503,447,504,800,800,502,503,282,503,500,502,282,282,503,503,500,502,649,503,562,334,503,649,240,501,502,500,503,501,649,800,29,501,386,501,503,502,470,503,796,503,502,500,913,502,262,500,800,380,649,71,502,649,36,501,501,503,501,800,282,502,649,330,500,503,649,500,800,800,673,649,502,502,502,800,649,500,500,500,800,649,502,500,502,800,503,649,502,649,649,501,800,500,649,502,841,282,500,500,800,501,501,8,862,501,800,800,503,16,500,503,522,501,282,500,352,500,503,649,649,16,649,501,800,503,501,675,501,800,16,649,500,501,649,800,500,500,16,800,503,649,502,16,282,500,501,679,503,502,501,31,500,800,560,503,500,282,502,140,502,649,501,282,282,501,800,282,282,503,503,800,502,503,992,503,282,501,503,502,502,800,500,800,500,503,503,800,500,501,500,503,86,502,288,502,649,800,649,503,502,501,800,382,525,169,500,800,800,563,502,800,503,503,502,502,503,501,800,502,649,503,649,502,649,503,502,16,501,800,502,500,16,800,500,502,502,502,800,501,561,649,282,383,503,800,502,649,800,502,282,500,502,503,800,282,503,622,103,800,503,282,500,502,500,649,649,502,649,502,282,501,951,503,203,649,290,800,501,502,901,649,800,501,500,994,800,800,501,649,602,649,800,500,503,502,282,16,800,504,502,501,662,107,797,500,502,282,649,649,502,501,502,503,502,649,282,500,501,800,501,501,16,800,633,501,282,501,103,649,503,500,824,649,503,649,500,500,500,800,16,501,295,502,501,500,500,649,800,705,501,16,372,649,502,503,500,499,501,502,501,800,501,626,16,500,16,502,503,502,649,282,501,282,805,800,502,500,800,500,458,649,501,282,502,115,649,660,500,649,502,500,502,800,502,489,500,503,502,502,649,500,375,503,502,800,297,502,282,649,270,500,649,501,502,649,501,501,501,800,503,445,282,532,800,800,501,501,503,503,282,130,102,503,800,501,500,502,236,649,648,501,502,800,502,503,800,501,502,800,800,282,502,502,800,503,132,116,501,501,684,800,99,282,649,500,800,500,502,800,503,501,282,800,758,500,282,502,800,649,502,500,500,649,800,503,503,800,501,503,503,282,965,504,67,16,800,503,500,298,772,800,600,502,503,649,649,501,501,649,500,649,16,649,282,251,649,800,503,712,503,502,681,502,170,500,649,502,395,649,503,282,649,502,504,800,282,501,502,649,501,282,500,16,500,800,503,501,16,800,282,503,649,500,501,16,282,500,503,503,649,800,502,501,649,501,107,800,649,502,503,103,649,282,800,500,649,800,649,500,502,362,282,649,649,501,649,504,502,548,649,568,501,503,16,800,502,800,504,649,649,649,500,500,502,502,502,502,503,503,502,800,282,503,503,764,714,501,16,649,800,501,501,501,500,800,500,713,649,501,649,649,501,500,16,501,503,431,501,749,501,282,503,500,502,502,501,649,990,800,16,503,16,649,503,800,503,500,800,649,504,649,507,502,503,282,630,501,800,800,502,282,502,503,500,500,649,501,501,103,500,501,800,503,503,935,649,649,503,501,288,500,500,500,16,649,282,649,16,800,649,800,503,502,800,503,800,800,649,503,500,503,800,649,501,800,503,800,500,501,78,500,103,501,649,800,807,502,500,502,501,800,500,502,502,87,649,385,649,500,501,649,649,500,649,501,353,800,107,800,800,800,800,157,789,502,501,785,502,579,503,800,800,800,282,501,649,500,500,500,977,501,649,502,680,224,562,502,502,732,16,282,501,282,502,503,500,501,800,824,502,500,503,500,502,800,503,800,502,800,500,783,503,501,99,649,500,282,502,282,800,776,503,484,102,501,502,800,649,649,649,503,87,16,500,502,800,754,502,660,800,502,501,500,547,16,503,501,501,502,103,800,502,649,502,503,502,502,500,800,800,503,568,800,800,503,502,800,649,500,501,501,503,800,649,800,500,503,501,502,16,501,503,649,800,501,649,500,649,16,500,501,96,302,649,503,503,282,503,343,800,502,503,837,151,500,504,282,504,140,501,500,649,649,503,500,502,500,500,282,501,502,428,800,800,502,488,800,800,500,502,800,800,800,649,649,407,503,649,69,503,503,502,538,501,800,504,500,974,502,500,239,503,29,501,503,501,502,500,800,501,501,800,649,502,638,800,502,502,364,103,282,800,504,503,502,800,16,231,501,1,335,500,501,502,103,33,501,501,501,503,500,800,503,503,503,107,503,382,16,800,504,282,800,500,486,502,503,503,501,501,649,502,501,501,28,342,649,500,638,502,109,888,504,501,503,500,500,503,500,649,282,609,501,71,500,501,916,502,502,503,500,502,282,649,500,800,390,503,16,800,501,503,229,800,500,503,502,649,880,501,649,649,813,502,500,503,502,503,501,800,504,501,800,649,500,943,800,503,800,501,800,503,503,649,800,800,501,503,16,500,175,500,501,800,503,503,649,502,502,502,705,500,16,887,649,502,503,501,500,649,800,800,502,649,649,500,201,502,500,500,800,504,221,16,649,454,501,800,503,649,501,500,649,800,649,503,649,708,503,800,800,800,800,502,502,253,500,502,107,500,542,800,16,649,16,282,502,282,800,503,502,649,649,500,500,800,697,503,502,649,778,649,800,502,500,800,523,886,800,649,502,503,501,649,502,503,649,800,502,503,502,503,500,649,395,631,649,500,500,800,662,501,502,649,985,503,503,501,503,501,800,501,680,649,503,800,654,16,107,282,501,508,501,502,502,500,503,800,503,502,271,502,503,991,649,107,503,282,649,501,363,649,501,682,16,649,501,649,649,503,282,503,501,503,503,501,282,649,502,375,502,501,503,287,649,649,800,525,858,502,618,800,500,501,615,962,649,500,788,800,501,800,500,500,282,800,502,502,282,503,500,282,503,503,107,503,800,500,649,502,501,502,502,800,16,649,500,502,503,502,649,800,503,800,800,501,500,649,503,649,502,501,503,323,500,649,649,544,116,503,500,649,800,800,501,800,807,282,649,16,503,503,649,800,359,503,649,800,502,800,501,649,282,4,500,800,503,282,649,503,649,503,502,500,503,800,800,502,502,800,800,502,649,282,502,501,649,500,649,672,501,503,503,502,503,772,601,453,501,649,503,515,800,503,103,503,502,500,282,500,282,502,649,502,800,282,501,800,503,649,501,649,16,503,500,501,503,501,649,800,500,501,501,107,800,800,800,502,517,649,74,649,282,800,800,282,500,502,502,501,800,282,500,107,649,503,800,12,503,501,502,649,501,500,16,500,500,501,501,503,971,500,649,501,504,649,477,500,449,501,503,800,649,501,500,282,503,878,800,503,16,25,500,649,501,500,500,503,649,282,649,800,503,500,649,500,500,649,649,103,500,501,103,478,502,649,501,504,105,800,668,312,800,503,503,800,16,502,800,282,313,502,649,503,649,649,800,649,282,649,502,501,16,800,806,16,502,649,849,503,696,501,500,503,282,649,501,939,800,503,294,501,16,800,504,649,503,800,492,649,500,636,800,500,16,600,503,649,649,649,800,500,282,800,500,500,500,649,503,501,649,503,373,649,800,501,500,649,649,502,800,402,502,500,649,503,800,649,649,940,503,500,649,502,609,649,649,800,276,800,649,500,289,502,503,412,503,500,502,501,501,649,282,800,807,500,507,649,800,501,649,500,502,501,503,501,649,282,649,862,503,16,501,502,503,500,501,503,327,800,578,414,502,800,936,501,503,502,499,502,926,800,957,503,500,103,500,500,504,502,503,800,282,500,501,282,282,500,503,649,649,502,235,501,528,800,800,16,930,502,16,800,503,800,317,343,500,503,503,500,705,282,649,502,500,649,602,110,502,800,503,649,16,501,800,503,503,800,310,502,800,794,800,500,16,503,282,503,500,649,800,508,503,649,649,649,503,503,319,501,800,721,800,280,93,649,500,800,733,502,282,504,502,503,503,502,500,501,219,649,503,649,761,500,500,503,16,282,503,500,500,502,500,649,503,502,503,500,503,501,500,649,500,649,502,502,501,503,282,800,500,503,503,15,501,649,282,282,502,503,52,371,405,649,649,800,500,502,649,282,649,800,500,800,61,267,502,107,502,502,800,501,282,107,500,503,502,504,500,501,501,800,49,221,500,800,501,649,282,800,501,944,800,503,503,502,501,282,649,502,291,501,649,504,500,501,156,501,502,503,649,25,503,504,16,800,503,500,501,502,188,800,282,903,502,800,692,800,649,500,503,503,800,282,502,649,502,500,503,500,503,503,282,503,800,649,502,649,641,503,501,500,649,686,501,500,800,500,649,800,282,503,649,502,649,345,502,503,282,649,500,800,62,501,500,502,800,800,501,889,503,802,501,501,504,500,502,501,502,500,500,282,502,649,503,282,503,501,649,800,927,503,16,282,433,282,461,501,502,800,503,502,256,501,800,800,500,16,500,649,137,500,731,800,501,503,502,649,649,500,503,500,500,846,503,503,100,501,502,649,501,649,16,503,501,649,501,649,501,500,307,503,16,282,500,230,503,749,502,501,800,500,502,503,282,282,900,500,503,405,894,800,584,503,501,282,800,649,649,504,749,501,500,649,800,502,107,58,502,649,370,649,500,502,800,800,502,500,502,800,503,231,503,800,649,976,502,371,501,16,800,500,282,503,317,502,395,649,501,503,800,503,500,800,501,800,500,649,500,501,800,502,800,501,800,502,503,831,502,614,800,501,12,503,500,800,103,503,502,502,282,502,330,500,502,282,503,282,153,502,649,501,501,649,282,649,649,501,503,282,503,649,502,649,500,501,500,501,503,502,735,800,502,403,800,500,501,503,503,22,649,637,500,501,800,800,649,958,649,649,679,649,649,649,500,501,390,478,764,282,800,503,503,649,501,503,282,282,800,502,800,501,503,800,649,800,503,502,503,502,705,501,800,800,500,800,170,29,501,503,500,607,649,501,282,16,503,800,800,504,501,503,800,503,800,692,502,800,503,800,503,940,502,500,28,500,282,282,649,665,502,502,501,500,502,500,16,649,282,733,800,800,107,500,501,501,800,649,649,503,829,800,500,220,500,800,501,282,16,500,502,800,282,503,503,501,500,649,16,502,504,501,800,191,16,649,204,649,501,503,156,503,16,654,649,501,282,151,503,800,502,502,649,800,719,500,502,502,345,504,391,16,800,503,20,800,649,16,800,501,500,892,503,503,282,501,649,502,800,215,501,500,54,503,502,502,503,504,500,800,503,241,502,501,16,502,502,800,39,500,503,16,503,502,316,500,649,501,327,503,649,649,501,649,1000,609,800,800,502,16,500,500,800,28,502,800,500,649,503,191,800,649,282,992,503,500,501,364,649,503,147,503,501,502,501,502,282,502,500,503,500,502,800,649,501,502,920,16,502,500,503,800,502,502,501,649,649,502,282,282,649,501,501,800,800,503,800,500,504,800,504,500,501,800,503,501,649,502,800,504,500,800,649,502,580,502,500,502,500,503,102,649,282,503,769,502,500,502,501,503,502,800,928,800,501,500,501,504,503,503,503,503,501,502,649,800,503,800,649,282,502,649,800,800,800,500,503,502,649,502,503,236,502,415,536,978,502,800,800,500,649,503,503,500,282,847,800,503,649,501,282,502,800,500,649,800,849,501,800,286,500,649,282,500,503,500,503,501,800,16,800,649,800,649,500,500,502,501,502,500,500,800,500,282,502,503,649,107,500,800,649,502,501,800,800,501,334,649,500,649,921,500,503,747,503,504,800,800,835,503,501,409,282,282,800,504,500,88,500,103,503,649,800,649,503,649,326,503,649,500,800,649,107,500,500,16,504,800,501,501,501,800,16,501,504,649,501,569,501,649,649,316,920,16,16,649,502,502,56,503,800,500,911,282,107,282,502,282,503,649,503,501,503,501,368,503,500,598,500,16,800,500,282,500,800,800,282,502,382,198,501,649,502,501,800,503,502,501,649,800,500,501,500,503,500,800,478,649,503,501,500,500,800,800,729,502,649,649,800,504,282,501,192,503,402,500,501,502,519,946,800,502,503,500,649,501,800,282,503,501,282,282,649,282,502,800,502,500,800,500,500,500,840,17,649,649,500,500,800,799,140,800,502,502,503,16,800,107,800,502,442,503,502,500,800,800,501,107,800,503,215,503,502,649,107,502,649,649,501,800,391,500,204,502,500,649,16,16,503,500,570,501,501,16,500,501,503,649,503,503,282,502,800,800,500,503,501,142,501,282,503,503,16,800,649,282,501,649,982,466,501,504,503,282,500,664,999,503,502,800,649,800,800,501,800,800,502,504,800,502,503,502,501,501,800,282,16,649,500,502,649,502,800,649,501,967,501,800,501,502,501,502,501,501,500,501,501,504,502,501,4,649,800,251,938,503,500,501,503,500,500,503,503,503,502,282,800,282,502,800,200,500,503,649,99,503,500,800,500,503,649,502,800,807,500,309,282,500,500,981,649,500,502,500,800,500,502,800,502,649,500,16,733,501,282,16,502,800,649,282,502,503,502,800,800,282,500,503,502,503,503,502,500,800,501,501,282,503,501,800,800,16,500,800,649,503,800,500,16,503,800,500,503,649,800,501,503,503,649,721,502,649,654,573,501,501,500,502,235,502,501,502,16,933,568,502,500,504,501,502,502,501,800,503,501,107,501,649,501,500,649,500,500,501,504,67,800,800,503,502,800,457,133,649,800,317,502,502,282,800,282,500,502,502,686,800,502,503,649,800,503,503,503,649,888,504,807,842,660,502,800,282,649,502,649,501,502,649,502,649,307,800,630,340,469,500,282,16,501,500,502,282,425,500,502,503,800,364,500,800,501,649,501,500,501,500,282,503,501,776,649,502,502,800,503,503,443,50,146,282,282,503,282,649,649,800,16,500,501,500,502,649,469,682,500,800,503,800,503,501,503,16,649,16,503,500,502,501,500,916,800,503,649,500,500,502,502,16,832,800,800,504,282,503,879,503,503,502,503,500,503,501,500,593,649,501,107,500,500,502,800,502,501,282,800,501,503,502,500,502,503,649,500,800,501,500,800,503,282,502,502,800,112,6,502,503,800,503,800,649,501,503,501,500,502,800,502,500,502,501,282,503,800,800,800,500,501,501,501,683,500,501,502,294,500,282,649,649,620,503,500,800,800,800,501,502,16,649,503,500,800,221,502,649,649,502,501,649,500,649,503,503,282,800,800,502,649,502,501,502,503,649,503,502,502,800,800,501,800,501,649,503,501,500,500,500,503,277,16,500,502,500,501,502,503,503,19,649,558,502,282,282,501,433,800,618,649,502,103,649,649,722,503,500,500,282,503,649,503,16,916,503,500,501,501,502,501,282,500,649,502,16,501,500,800,107,800,503,502,993,649,503,501,503,501,501,649,859,649,649,503,800,500,559,500,649,500,800,503,503,500,502,282,503,500,502,502,107,502,800,282,649,345,500,502,800,503,502,503,649,501,502,800,289,502,72,649,501,800,501,800,501,501,501,800,500,502,518,800,519,990,649,800,338,500,107,800,16,800,500,800,800,800,649,502,503,500,800,649,373,649,282,500,500,501,84,800,502,282,501,16,504,501,649,502,501,502,16,649,503,502,800,500,16,282,800,16,388,103,502,649,16,500,649,502,502,501,649,500,502,502,500,500,501,800,800,649,501,649,800,353,388,502,282,501,502,503,501,500,955,503,500,501,16,773,649,503,800,649,501,282,800,282,682,501,800,500,502,649,111,800,500,107,502,503,800,16,500,748,248,500,504,501,500,649,282,274,107,500,649,237,500,502,649,649,503,502,282,503,504,197,501,845,503,800,503,282,501,501,500,649,503,502,503,502,500,282,501,500,800,503,16,500,502,591,800,176,502,282,649,649,649,282,502,649,800,501,673,501,503,920,800,501,800,800,503,500,649,16,503,501,282,282,649,501,500,118,500,839,503,500,503,501,501,649,800,107,502,502,800,503,500,500,800,501,961,658,501,860,881,503,502,502,800,438,800,502,503,501,800,649,970,500,470,679,501,501,503,503,649,503,800,502,649,503,500,508,502,649,502,649,501,649,800,855,282,282,649,501,502,800,16,501,502,501,501,956,772,502,16,500,879,800,502,503,282,107,504,501,649,892,282,649,502,535,649,282,282,649,503,502,501,503,649,830,111,282,500,504,649,502,502,502,649,649,503,502,16,500,501,800,16,800,800,800,502,572,649,770,502,649,649,995,503,265,501,817,410,502,800,282,282,503,649,503,501,502,800,504,282,501,501,800,347,502,581,501,800,502,649,649,500,503,800,502,882,501,16,10,503,502,501,282,503,282,503,581,800,649,800,502,503,649,502,649,500,500,557,800,500,501,776,503,649,800,502,282,282,503,282,16,503,125,282,653,502,800,503,800,500,107,718,502,282,649,502,503,282,502,103,800,203,502,500,800,800,754,501,16,501,282,501,800,649,114,282,282,282,503,691,293,16,842,501,503,649,685,503,282,504,500,503,649,16,503,800,500,503,282,501,800,107,503,282,495,678,35,282,501,800,501,800,501,800,500,282,500,503,500,500,503,501,357,652,501,503,501,16,502,500,800,649,649,501,781,649,502,503,501,612,282,800,500,503,502,651,503,213,501,649,503,501,569,503,502,500,800,501,467,282,800,503,247,543,501,800,501,282,800,630,800,282,649,501,649,504,503,649,501,807,500,649,649,501,649,999,502,501,190,501,500,292,103,800,502,671,167,282,501,800,502,800,800,500,502,501,500,501,501,502,503,501,282,500,550,16,503,503,107,501,16,800,399,478,864,503,800,347,282,800,800,649,649,501,500,166,649,649,502,495,502,500,649,800,502,502,351,500,500,501,649,16,800,426,502,502,503,109,649,503,500,504,501,503,282,501,800,649,501,501,501,282,504,501,282,282,649,503,501,503,503,502,800,500,500,800,282,501,800,503,800,503,649,312,708,671,282,501,282,503,502,502,489,502,500,800,316,889,8,514,500,649,502,800,465,501,501,800,282,282,310,649,500,503,502,637,502,649,502,667,800,500,649,502,800,500,501,500,800,503,503,504,800,500,500,649,501,503,649,800,503,500,73,531,800,501,701,649,504,502,503,503,501,500,16,649,808,500,800,800,282,649,502,500,282,825,502,500,501,938,69,364,800,500,500,649,500,500,534,501,800,500,800,502,500,503,503,16,500,500,815,433,500,503,500,500,107,500,391,500,282,503,503,284,501,649,500,800,800,800,649,501,103,500,501,800,500,189,503,502,501,800,501,500,336,500,502,800,791,500,612,500,649,503,649,282,649,502,17,501,503,653,16,649,649,502,800,16,800,500,503,501,453,501,502,503,501,381,500,800,500,873,500,800,501,502,291,800,502,500,502,282,500,800,502,502,705,282,501,649,442,503,500,16,608,800,502,675,502,503,502,500,800,649,103,503,503,800,282,800,890,502,107,800,502,502,649,881,800,503,649,502,502,502,501,503,503,800,502,649,503,500,282,649,649,501,649,502,800,649,649,502,502,500,503,501,649,532,800,649,501,501,503,16,490,503,502,282,753,800,800,502,649,501,503,649,501,503,502,800,800,649,501,800,80,500,501,649,503,583,501,107,800,502,800,503,16,649,646,627,501,500,503,503,282,501,709,800,501,501,783,500,500,901,501,983,501,880,649,862,501,649,282,500,16,503,800,503,502,649,502,502,16,503,16,501,501,16,800,800,800,649,502,282,282,649,649,500,354,649,761,502,807,800,501,16,282,800,502,502,16,502,500,800,334,282,800,502,800,502,502,800,501,16,800,500,800,501,501,649,649,282,800,501,502,800,282,16,649,500,500,649,800,800,501,800,649,800,501,500,503,500,500,503,800,282,503,474,649,649,501,502,501,649,807,503,62,649,503,649,649,500,153,501,502,500,658,501,503,649,503,501,800,503,282,503,649,372,800,503,502,800,649,502,649,503,800,800,924,800,649,501,800,501,501,500,501,961,800,800,503,503,613,501,282,108,502,501,800,503,282,832,800,282,500,502,649,502,649,501,649,500,502,282,530,502,500,705,800,504,282,16,282,16,503,501,502,501,649,800,850,649,800,503,282,500,500,503,502,649,502,83,16,502,502,503,503,141,649,16,649,503,107,800,16,504,500,500,500,649,501,649,649,800,503,649,764,502,501,500,649,501,501,500,649,502,503,282,500,765,622,502,649,800,500,500,649,16,500,76,216,502,503,800,500,109,501,649,500,282,649,500,282,501,800,649,502,282,503,271,500,501,501,800,500,500,800,503,502,500,501,649,503,649,502,501,800,282,501,649,16,500,649,16,682,800,502,501,501,649,800,649,502,282,849,501,649,501,282,800,282,649,282,282,16,504,503,800,502,800,501,459,500,502,800,583,500,500,502,367,649,649,503,500,16,500,649,800,501,649,800,500,504,503,503,503,282,501,649,502,502,346,501,501,699,649,800,503,502,16,649,501,282,93,501,500,649,649,414,16,502,800,649,705,502,501,500,501,503,99,503,502,503,705,504,500,501,649,800,500,502,501,502,503,502,504,503,800,500,500,500,502,503,502,282,500,500,282,500,649,800,649,649,502,800,500,503,503,800,503,800,579,504,502,504,107,649,502,120,819,501,16,500,502,500,500,800,500,282,282,500,503,502,500,800,480,503,282,175,500,800,500,800,935,282,503,501,502,800,500,501,521,649,50,500,501,649,250,500,503,501,502,800,501,282,800,649,408,649,649,107,504,501,502,508,500,503,800,800,502,649,501,500,800,349,864,500,500,649,503,649,500,800,500,93,649,496,800,502,502,835,323,500,503,501,502,282,705,500,502,282,500,500,501,800,800,800,800,501,649,649,500,500,800,800,502,800,503,500,501,800,500,500,282,500,502,800,503,282,503,800,16,500,800,16,502,800,800,282,501,502,800,282,503,800,502,800,501,501,503,800,502,500,503,503,500,800,501,649,502,500,282,501,800,501,502,649,500,502,800,501,649,502,502,806,161,135,501,501,259,502,16,800,501,649,500,649,800,503,520,800,649,282,503,649,500,800,649,902,800,501,800,649,282,12,282,618,649,649,501,800,500,800,649,649,501,502,103,800,503,501,502,501,626,74,504,502,504,503,649,800,16,502,503,500,500,155,449,503,146,394,800,483,501,500,718,502,500,649,551,16,503,500,501,83,800,649,501,501,106,649,501,500,503,800,503,502,649,500,501,800,649,501,906,800,649,282,800,282,186,293,502,649,503,500,649,800,500,501,500,502,502,107,282,488,873,500,502,503,289,503,503,500,282,16,649,500,502,502,500,501,765,502,569,500,282,500,503,649,282,503,503,282,649,282,800,800,282,16,800,500,282,502,649,649,282,503,501,504,501,800,649,500,503,800,800,502,649,649,500,500,649,800,32,500,500,500,255,501,649,282,502,502,16,282,500,348,500,502,501,502,272,649,722,107,501,502,503,649,501,800,282,503,16,504,503,500,800,501,50,503,501,282,408,500,800,501,107,800,501,501,502,107,500,649,502,16,502,718,759,800,994,503,503,800,503,501,503,502,800,503,800,502,875,800,282,500,274,103,502,502,649,649,502,649,282,800,500,503,619,800,288,502,504,500,800,282,503,282,503,502,834,649,500,502,494,503,800,503,800,503,503,800,501,103,570,501,649,501,500,198,800,800,282,503,649,503,500,500,973,823,807,800,503,282,500,800,501,501,282,504,500,649,649,500,501,500,501,649,883,501,282,678,341,501,502,503,501,95,585,502,16,503,282,649,500,502,503,16,800,16,800,800,503,502,658,501,800,501,954,500,649,621,649,800,503,793,790,800,503,502,649,501,502,501,649,118,500,500,501,649,501,649,501,16,800,649,800,282,502,800,649,503,649,649,800,16,501,342,649,649,501,504,649,800,649,649,503,282,107,503,72,502,16,502,500,312,282,500,501,501,502,501,503,103,504,502,501,800,503,501,503,503,502,501,282,649,503,649,282,500,500,500,282,856,649,502,501,282,799,966,649,149,502,500,981,649,502,282,103,502,649,649,800,802,503,501,344,800,501,501,649,503,500,500,503,800,501,502,503,800,502,282,282,585,503,24,502,501,500,502,500,503,501,282,501,800,501,16,800,500,501,501,503,501,282,502,362,800,222,800,500,502,503,800,16,122,649,501,800,800,501,800,500,501,501,800,989,502,503,502,501,503,500,649,282,611,503,712,502,808,503,800,282,503,502,649,500,503,503,500,649,503,554,800,502,89,502,500,800,800,532,649,800,282,503,502,282,503,504,800,282,800,501,502,501,502,800,16,503,502,800,496,649,282,503,501,649,502,800,800,948,649,502,800,501,16,501,500,649,500,649,502,16,690,283,501,800,649,503,504,500,871,16,500,501,501,335,800,502,282,649,500,800,800,929,503,502,824,800,800,435,502,503,503,502,800,800,502,16,502,503,202,501,501,503,503,800,504,501,282,282,328,649,574,503,500,649,800,276,800,502,649,500,500,502,501,282,649,501,649,649,16,16,649,282,490,446,502,649,503,501,800,501,503,649,649,500,500,504,800,502,503,500,500,649,500,503,800,800,501,500,649,590,502,501,503,282,502,129,502,502,16,711,502,489,649,502,503,649,504,500,800,500,103,518,500,501,503,649,501,649,503,502,501,800,800,754,649,500,500,16,501,500,800,500,649,649,503,502,960,800,501,649,58,500,800,504,504,504,503,500,501,282,800,501,888,500,800,742,500,282,649,282,503,571,500,502,503,806,649,16,502,649,500,649,500,502,282,503,800,800,500,503,103,502,503,504,16,778,500,502,502,649,502,130,501,500,501,331,282,504,282,800,800,502,800,290,502,111,502,502,500,501,503,500,503,649,502,500,800,649,500,479,551,800,738,282,501,503,500,800,500,502,503,508,502,649,282,502,500,502,351,503,107,503,800,16,501,501,649,500,500,500,107,501,16,800,500,16,503,503,500,800,785,282,502,649,503,502,503,502,681,649,503,501,503,9,649,649,800,800,800,502,501,501,649,282,502,504,282,501,800,502,282,649,501,503,480,282,501,800,501,970,503,649,503,800,372,282,503,501,502,800,501,500,16,649,164,503,294,649,500,800,503,644,714,904,468,800,502,800,282,771,635,16,612,800,190,554,501,502,502,649,282,282,282,501,502,501,282,332,319,502,16,800,502,649,800,503,501,501,800,649,501,282,800,502,500,502,91,500,536,501,731,502,800,502,500,501,503,503,649,503,649,800,501,266,503,503,501,143,500,501,500,649,107,502,502,649,502,16,500,500,282,800,227,503,501,504,500,502,649,649,800,800,649,501,649,503,503,649,649,649,282,502,282,16,500,502,649,800,502,502,282,502,500,502,649,800,500,500,16,500,502,500,69,501,282,503,800,649,800,502,503,649,501,926,800,800,503,800,501,800,282,649,129,649,501,500,500,800,500,2,503,501,649,623,503,800,800,800,107,647,500,800,500,501,108,800,500,282,147,503,500,107,649,712,800,800,502,800,649,629,800,282,16,501,503,536,501,107,353,649,502,649,502,649,282,502,501,503,501,16,800,502,442,469,649,502,649,649,282,501,501,503,649,500,649,500,504,44,503,649,85,800,500,501,501,502,503,412,503,649,102,800,800,503,170,503,503,502,649,503,500,500,503,649,649,503,969,800,800,502,445,205,282,800,501,502,502,649,288,800,502,649,500,502,500,800,502,501,649,649,501,500,503,649,482,800,502,501,503,500,503,800,501,500,502,502,16,502,649,800,503,107,800,649,649,500,500,649,16,991,500,502,501,502,503,800,282,16,649,502,503,500,500,649,501,74,504,501,503,289,500,500,502,649,16,891,845,800,800,501,801,503,800,800,37,501,501,502,649,282,649,501,649,16,649,502,501,649,501,502,502,800,503,226,503,624,649,800,800,649,805,282,649,503,800,503,800,649,58,800,503,503,503,6,501,800,500,857,501,500,649,800,500,503,501,503,504,502,501,282,500,501,501,282,463,503,500,561,500,800,501,294,503,504,500,800,502,100,501,500,502,503,501,501,649,500,502,374,501,800,16,500,502,649,504,503,502,500,501,503,282,800,649,500,649,649,502,502,938,503,649,282,282,649,500,796,500,503,503,502,501,500,502,501,800,537,502,357,635,649,934,800,503,500,800,501,501,282,16,800,503,502,282,800,800,500,649,800,649,857,800,501,503,503,800,502,649,649,500,649,800,502,100,800,501,649,500,800,500,800,502,649,500,282,282,800,501,502,503,800,582,503,503,649,501,502,501,282,282,503,649,800,649,103,500,16,649,500,501,649,501,501,502,503,800,501,500,649,282,946,501,800,501,501,282,500,501,502,500,502,84,502,500,649,649,649,282,649,649,500,14,503,649,501,500,800,649,503,649,103,282,649,800,16,504,282,502,649,503,282,649,649,649,500,502,746,235,649,16,502,502,16,800,282,501,501,649,649,502,694,649,649,649,501,500,504,649,503,501,503,649,502,500,414,282,649,503,502,501,516,821,503,55,800,500,502,458,500,16,680,649,800,503,502,503,503,500,705,282,282,649,855,503,649,502,800,282,503,800,282,282,503,501,805,500,502,501,502,482,501,98,273,503,500,800,502,570,282,800,500,502,827,800,107,800,500,502,501,744,503,503,649,503,649,339,503,649,800,800,502,501,649,501,800,502,501,56,649,800,502,800,501,501,503,800,502,76,502,500,501,282,800,500,503,502,501,503,502,503,501,501,500,501,800,282,503,76,649,282,503,16,502,357,649,800,502,282,503,649,502,800,500,800,500,503,502,16,800,800,649,649,649,276,897,556,502,415,649,282,800,649,649,282,282,501,500,649,649,502,282,501,502,649,282,502,408,800,501,504,800,800,167,444,649,427,16,501,501,282,649,501,800,502,501,500,649,761,504,16,800,282,649,730,195,693,500,503,501,649,501,282,649,800,500,282,800,900,500,800,503,282,503,501,502,502,878,282,501,500,16,503,502,500,500,502,282,504,282,503,502,502,500,649,758,16,614,63,649,649,500,500,800,103,800,800,502,819,569,649,775,502,234,800,649,795,543,649,500,502,503,912,501,800,800,502,16,502,800,500,814,282,503,649,649,800,503,501,649,503,501,502,503,800,500,500,707,501,649,800,649,32,502,270,502,503,503,502,500,502,906,502,503,500,596,503,649,649,500,800,502,16,502,107,649,502,918,897,500,503,16,500,255,501,758,649,800,502,800,501,500,504,649,501,503,500,504,501,501,500,502,500,282,502,649,282,503,500,504,500,649,503,800,500,501,800,502,501,907,649,649,501,502,800,501,282,503,502,502,800,800,649,649,800,649,501,503,503,649,502,502,649,501,649,502,712,649,501,503,500,705,502,501,500,27,649,649,501,503,282,501,503,501,503,800,800,500,501,393,503,503,649,354,282,503,500,800,978,800,500,649,16,800,502,501,503,649,282,107,502,282,800,502,501,501,503,649,90,800,500,500,586,282,100,649,503,800,282,649,501,649,502,800,500,500,282,501,503,503,711,500,649,501,800,649,800,103,503,800,800,677,502,500,649,800,503,500,503,649,502,500,502,503,500,503,558,649,501,649,16,649,502,500,282,502,500,800,501,155,16,502,282,504,510,500,503,649,500,500,500,470,502,500,500,503,503,282,502,87,504,500,500,11,282,760,605,780,649,16,649,800,503,649,282,500,800,800,120,501,500,501,649,503,503,502,282,16,500,730,841,502,16,649,502,503,500,800,500,502,503,502,501,282,800,504,327,501,649,649,736,649,800,503,503,501,649,643,504,216,103,800,502,502,501,800,504,503,501,800,502,502,649,500,502,503,500,478,649,503,502,502,502,501,800,800,502,16,502,800,503,649,500,503,649,500,503,649,501,503,503,502,649,501,649,503,502,501,501,500,502,649,164,103,649,643,16,649,503,125,503,838,649,282,649,503,800,502,500,501,466,221,943,503,500,503,800,501,501,896,282,500,501,649,105,800,16,503,902,107,503,500,282,503,501,649,501,501,800,103,800,500,282,500,498,502,500,501,107,500,282,649,800,503,501,800,501,501,500,501,503,282,502,649,500,500,503,649,929,501,502,503,800,502,501,718,502,500,800,502,502,649,800,649,649,314,502,503,38,282,649,501,502,502,501,649,209,282,649,501,500,500,503,500,503,502,282,649,391,501,500,341,649,500,500,800,502,649,502,649,501,16,800,500,649,649,649,142,503,501,501,501,501,800,649,503,800,800,800,800,103,501,503,649,502,467,905,282,282,918,243,503,504,503,502,501,649,503,501,501,500,282,649,504,503,800,502,501,502,503,569,800,800,80,501,282,568,502,800,502,500,282,649,282,282,282,503,800,500,649,800,500,980,304,107,502,282,87,800,282,800,800,909,649,501,503,649,282,500,501,501,503,800,503,800,442,503,502,500,502,649,649,501,282,503,674,502,500,503,502,919,502,500,800,503,282,500,502,649,800,282,501,16,800,501,502,800,502,540,649,281,649,501,800,649,502,500,649,282,501,501,649,500,789,502,649,16,775,649,500,194,503,649,282,282,501,649,500,507,502,501,501,800,800,500,502,502,503,503,503,649,500,503,800,649,800,502,16,282,800,649,501,800,503,502,800,500,502,282,501,502,502,800,649,649,282,500,503,853,800,503,501,500,501,649,500,649,502,503,503,800,501,800,503,503,649,501,493,282,800,649,502,501,107,503,800,800,503,502,500,500,503,800,92,501,500,282,501,503,649,502,642,502,501,800,503,502,500,500,501,829,502,649,503,502,282,730,501,502,501,502,282,107,220,226,502,16,16,809,649,500,500,282,577,649,187,800,503,503,502,649,503,501,168,502,649,501,649,123,500,500,288,679,649,280,502,16,649,649,500,450,501,551,694,864,503,501,800,503,503,16,517,649,800,502,16,282,649,800,500,503,502,800,502,800,503,800,500,502,503,649,649,501,800,501,16,501,800,504,503,500,576,16,649,800,501,500,502,501,282,503,649,800,767,649,16,282,43,500,500,16,503,50,500,502,501,282,919,503,800,502,500,501,282,649,500,800,282,822,800,649,649,500,501,501,500,282,800,649,800,800,501,800,587,800,444,901,800,800,503,649,800,501,282,503,800,800,500,503,649,501,503,800,187,800,503,519,649,503,503,503,500,282,800,649,800,800,282,518,502,502,800,649,503,649,502,500,503,772,800,501,502,649,500,649,649,503,713,649,502,502,643,800,501,282,502,500,503,503,500,737,649,800,649,502,818,649,656,503,931,502,516,502,282,16,649,500,501,503,503,142,502,503,502,502,503,282,282,500,500,501,503,649,649,16,649,501,502,503,501,637,116,501,649,501,132,649,502,649,502,500,800,500,649,500,501,282,800,649,207,504,800,500,103,649,500,500,501,503,501,649,500,502,800,649,16,127,282,500,503,649,282,500,503,282,503,800,649,502,295,501,649,649,503,503,649,649,800,649,282,503,903,502,800,800,501,282,500,800,503,502,503,502,16,649,282,800,282,961,503,103,245,500,503,502,794,500,16,649,503,649,800,500,107,500,502,649,925,800,785,800,800,503,107,130,500,644,800,502,282,501,502,800,500,282,16,800,179,16,676,502,383,503,800,800,484,501,800,500,800,503,16,500,800,500,503,781,500,501,503,501,107,500,500,503,282,559,512,503,502,987,547,507,501,500,282,501,500,502,503,649,500,723,800,503,500,500,501,649,501,500,649,800,741,912,682,968,282,482,16,649,503,800,359,354,502,501,503,502,649,502,502,286,282,282,500,16,800,503,500,282,502,502,107,502,649,800,501,501,164,500,16,282,301,500,503,500,503,299,282,800,501,649,107,649,282,503,16,800,996,501,649,649,500,502,500,500,501,800,502,500,800,500,500,800,503,282,502,16,503,501,649,500,501,649,649,800,502,500,649,528,282,800,502,500,800,503,502,501,501,639,649,502,800,501,767,649,501,502,282,103,500,500,800,898,502,649,502,800,800,800,16,501,637,503,501,282,500,694,501,502,500,282,405,504,800,800,649,500,807,503,282,800,842,649,502,500,800,500,619,16,503,649,800,502,800,500,107,649,16,501,736,800,649,500,502,500,503,900,649,800,502,772,503,345,649,800,503,502,513,500,632,501,616,282,501,953,800,503,800,800,282,800,282,649,555,503,502,649,500,501,502,500,502,800,600,504,500,282,500,501,503,501,500,282,649,800,800,800,502,649,907,800,501,282,502,282,500,16,502,107,500,800,503,501,500,16,616,502,231,503,503,447,526,127,282,649,503,503,500,502,501,500,649,649,500,282,500,502,500,501,282,503,172,800,500,884,502,282,215,501,959,321,649,16,502,649,965,503,500,800,504,62,103,800,502,502,503,649,501,800,282,500,649,136,502,503,503,649,150,501,502,649,502,500,502,502,502,584,500,649,502,800,500,649,800,282,800,500,800,761,282,107,800,501,649,502,502,282,800,649,500,500,503,663,502,649,649,503,800,503,500,501,282,649,649,500,477,500,807,282,503,503,16,503,500,16,501,649,503,501,503,394,103,649,283,501,800,649,800,500,501,649,649,503,500,649,282,800,800,649,503,502,502,649,800,880,501,649,107,842,503,501,502,502,501,800,282,500,649,723,800,649,501,503,503,282,502,800,355,501,800,282,16,451,502,800,501,16,503,800,503,501,502,800,649,503,500,501,282,501,500,504,502,649,502,800,501,500,839,502,103,501,282,503,649,937,649,503,502,500,282,500,502,502,979,800,502,502,923,5,649,504,501,800,500,503,503,503,501,502,649,765,649,503,500,3,504,500,800,282,501,800,107,502,16,864,501,500,107,107,800,180,649,800,936,147,800,500,690,649,728,501,503,502,649,500,500,800,503,192,501,500,501,332,649,503,960,501,224,800,247,649,16,502,502,502,503,502,500,500,649,500,649,501,501,282,501,500,500,500,503,500,107,499,503,501,192,502,649,502,800,103,503,501,593,502,501,282,649,501,282,649,282,503,500,501,649,649,200,501,502,800,502,235,501,800,502,501,501,504,103,800,800,500,800,345,800,501,503,187,282,500,800,800,133,503,350,649,628,800,683,800,504,558,501,282,500,502,270,776,800,501,911,501,800,923,503,503,555,500,107,503,701,500,503,899,502,500,386,500,649,500,103,800,501,282,501,649,502,931,649,504,502,461,649,800,16,502,649,800,501,503,500,107,282,502,501,800,16,107,649,503,643,800,552,800,501,800,501,649,501,16,800,649,503,504,501,649,739,503,800,503,503,282,503,502,500,500,800,501,501,500,800,504,16,500,501,504,502,103,502,501,500,558,649,502,754,503,501,500,500,501,500,800,800,503,649,503,501,501,502,572,500,649,649,282,503,16,500,502,800,501,282,501,644,502,500,649,649,500,794,800,503,503,800,503,501,503,282,649,500,500,90,503,502,500,282,800,502,503,501,800,501,405,649,282,800,311,503,800,502,713,649,501,502,282,502,63,500,500,501,502,649,501,500,656,800,649,500,649,502,649,800,800,503,103,503,503,500,501,649,339,800,804,649,800,502,500,500,655,800,16,501,502,501,282,500,501,502,504,282,565,363,955,649,800,501,510,16,16,649,500,502,502,489,501,362,625,503,503,501,502,917,759,503,503,502,502,282,502,748,500,501,649,800,291,649,502,976,107,282,649,27,649,503,502,500,800,800,16,501,800,537,282,501,500,501,16,800,501,503,502,800,501,800,282,503,500,649,649,503,503,649,16,503,501,282,503,800,504,502,824,503,800,282,503,282,503,503,399,501,503,107,404,800,501,500,501,800,361,501,502,695,16,503,16,800,503,649,267,500,501,503,500,649,394,501,503,649,800,800,649,800,800,504,502,500,800,501,503,503,503,800,500,800,282,649,107,501,503,502,758,501,649,502,503,649,939,502,502,100,807,502,649,500,773,657,503,503,649,807,649,502,282,500,501,282,502,650,502,800,800,500,200,501,502,501,340,107,652,501,501,502,503,500,500,282,502,501,800,649,500,649,156,282,832,649,501,500,501,800,16,502,503,800,500,500,502,503,502,500,501,503,501,502,103,504,282,500,913,502,502,503,500,699,503,649,282,649,501,800,16,500,500,501,834,501,458,526,500,529,501,800,370,800,503,502,501,649,282,504,502,928,649,800,502,503,716,649,649,16,502,266,502,800,649,370,666,649,649,502,500,282,16,500,337,500,649,502,502,500,501,500,504,282,800,520,503,503,339,500,502,800,503,800,502,503,649,66,282,282,501,500,649,501,500,727,649,503,649,649,500,800,500,500,800,649,972,649,500,800,848,502,630,328,503,130,570,503,501,282,510,501,503,500,800,500,502,502,800,503,501,500,501,649,500,501,464,649,500,721,503,500,649,452,282,502,533,503,415,107,837,282,236,502,500,502,800,503,649,500,16,800,501,800,503,800,503,503,800,502,800,16,649,500,500,649,502,154,502,501,504,282,500,862,503,502,446,503,800,592,501,649,503,503,502,107,638,501,501,502,502,649,502,282,649,739,112,501,800,282,501,282,502,107,83,649,800,503,613,504,800,500,501,649,16,501,624,800,503,500,500,282,800,503,503,307,502,649,39,649,405,502,262,715,800,649,501,502,503,501,501,501,282,500,503,502,503,488,172,407,501,526,501,502,501,503,502,501,503,502,502,649,502,501,800,501,502,800,282,501,282,503,251,502,649,282,800,501,500,502,649,90,502,800,649,705,800,500,649,503,502,501,500,502,500,502,649,500,216,500,77,282,500,502,577,644,502,503,592,649,500,649,649,800,800,502,501,649,649,501,800,649,502,503,971,149,503,800,28,502,501,503,502,958,984,502,501,501,502,649,649,43,500,503,224,800,502,282,634,16,503,800,503,500,502,800,501,800,878,503,501,260,744,649,503,800,501,794,500,502,500,649,60,500,502,501,500,800,649,501,649,649,500,649,500,282,502,103,502,800,500,500,66,16,501,795,800,501,282,501,500,503,282,500,501,776,502,503,500,503,853,649,577,649,502,503,500,255,365,153,503,501,501,502,502,577,502,16,503,282,649,502,800,800,503,566,800,649,800,592,649,503,502,503,501,732,800,103,501,502,282,800,502,649,501,501,800,501,649,618,501,500,282,19,503,649,112,500,32,16,973,503,800,800,501,909,500,649,800,282,504,500,649,705,503,502,503,800,501,800,16,493,435,502,807,500,16,502,627,606,502,501,800,800,503,124,351,800,502,501,579,16,502,503,502,103,503,820,500,282,800,502,501,649,501,502,649,282,267,16,503,282,649,501,501,501,704,503,649,800,504,469,502,588,322,282,800,403,501,501,501,503,501,502,621,282,503,800,112,501,503,941,501,501,282,649,107,649,501,649,502,216,649,282,502,800,502,502,649,500,502,501,502,501,800,282,500,443,282,649,281,107,705,501,649,800,282,503,358,649,502,362,501,649,501,502,800,807,501,500,503,500,800,501,501,649,604,500,503,502,247,503,503,501,603,800,501,144,318,503,649,282,501,282,501,500,500,501,503,282,502,807,502,500,500,3,501,107,502,501,149,500,502,649,503,795,649,501,16,649,800,503,503,500,800,503,257,500,503,500,502,627,892,800,502,282,502,649,500,501,502,502,16,282,501,988,502,503,800,649,208,649,649,502,654,501,500,503,500,800,800,504,502,995,500,500,800,503,502,259,502,800,500,504,800,649,649,800,800,627,649,800,502,501,16,649,607,800,503,649,503,282,658,501,502,17,503,800,282,800,282,500,16,614,800,668,649,500,647,800,501,502,503,803,16,800,500,501,800,502,649,501,282,649,504,800,103,800,503,502,800,502,500,503,649,800,800,302,405,649,800,500,93,502,455,800,649,503,282,388,501,501,502,649,503,500,649,719,898,501,649,503,649,800,503,800,745,282,393,503,502,649,502,615,294,649,504,800,501,649,500,502,503,503,16,502,500,501,800,503,503,800,800,503,503,502,501,374,915,503,503,503,501,16,121,529,800,502,282,525,502,500,501,353,103,503,502,649,649,282,927,500,502,649,500,502,501,649,501,501,800,282,500,649,271,800,501,503,501,501,503,500,500,282,501,502,501,800,503,139,501,500,890,500,503,501,503,503,501,325,649,503,649,973,501,800,567,649,501,282,800,503,502,16,503,16,500,501,501,282,800,503,503,502,649,504,503,282,500,649,502,500,16,501,282,502,502,649,503,800,503,503,503,501,500,501,503,504,502,500,636,500,502,500,639,503,649,503,501,649,501,649,800,101,649,800,649,649,800,649,500,481,282,502,800,503,504,501,502,16,282,546,800,502,800,282,503,649,800,649,800,800,800,501,320,800,500,502,503,503,282,501,800,503,800,800,543,504,503,649,504,649,518,500,501,503,501,501,502,800,501,500,649,500,282,500,500,649,282,500,649,72,649,282,503,282,649,800,502,501,503,800,649,502,800,500,502,503,723,503,800,500,503,502,502,800,538,649,500,649,649,800,800,503,500,282,502,141,282,107,503,649,503,16,607,502,282,501,800,328,503,502,503,649,500,43,626,928,800,649,282,502,800,503,649,800,805,500,282,503,483,16,282,501,649,502,503,500,649,649,502,503,503,502,16,500,649,103,800,503,16,16,503,277,501,501,500,649,501,500,649,502,282,649,501,282,282,282,282,502,152,501,503,502,501,749,779,500,649,800,788,501,282,503,649,504,501,800,502,503,501,649,800,343,800,501,501,501,503,501,649,501,502,504,501,176,503,110,500,16,16,504,500,649,503,282,501,649,702,649,800,649,503,501,126,502,501,503,800,649,503,500,792,800,503,282,107,282,501,282,185,185,190,502,800,409,501,649,649,501,503,282,649,502,649,800,501,502,501,502,701,501,503,502,503,513,377,356,502,502,500,502,501,501,282,503,800,500,502,649,3,649,800,500,800,649,825,282,118,502,502,282,501,503,282,501,501,793,503,503,649,800,649,800,800,282,649,649,872,14,503,502,502,752,649,16,649,449,729,16,500,501,501,501,500,501,503,501,649,649,800,649,501,800,500,503,282,502,501,649,800,741,501,800,503,500,501,503,502,503,502,503,800,501,503,790,501,800,423,649,800,649,500,500,503,501,16,131,500,500,319,526,282,16,800,800,649,504,503,16,500,800,649,501,800,107,236,378,629,649,503,500,503,282,736,501,282,800,503,649,503,503,501,501,501,502,649,502,482,800,649,502,975,500,800,649,501,99,500,501,500,800,16,501,501,800,501,800,502,649,800,501,16,83,503,649,502,501,500,800,501,282,500,649,995,800,649,895,800,282,503,503,800,501,501,453,503,778,800,501,502,500,800,282,649,501,502,800,282,649,800,977,800,649,649,501,649,501,502,503,500,503,800,501,649,649,800,501,800,501,16,500,649,741,16,500,504,502,649,800,800,501,800,501,502,800,800,282,282,914,257,502,649,16,500,502,502,501,500,500,649,649,501,572,800,269,503,16,649,500,500,649,800,742,649,870,649,502,396,500,502,800,794,282,800,502,800,502,340,500,501,565,800,501,649,501,649,501,800,500,502,501,649,500,500,502,948,16,800,503,500,500,501,800,503,501,282,502,961,649,329,649,501,351,500,500,501,500,363,503,800,501,503,501,800,552,503,502,501,502,502,800,123,649,496,503,800,502,800,649,800,800,504,503,503,649,800,502,503,501,649,649,503,480,501,649,503,649,503,500,500,503,500,710,500,503,649,502,649,503,503,501,800,501,800,282,503,800,282,502,282,502,107,502,502,870,711,867,501,502,649,502,503,502,800,501,503,16,649,501,501,500,502,500,501,649,482,649,800,800,502,502,800,502,649,501,501,800,503,500,800,905,16,503,16,286,503,501,503,473,502,649,500,501,800,500,649,500,282,800,501,656,501,800,800,502,210,922,800,500,649,500,282,16,800,501,649,282,282,282,649,16,502,800,503,71,282,500,501,503,501,309,282,503,500,774,649,503,655,503,649,22,501,282,695,800,500,800,501,282,800,12,930,500,503,503,500,16,502,112,503,500,800,800,800,900,503,825,501,649,410,503,501,107,16,783,282,501,800,800,500,282,649,649,502,503,16,16,502,282,204,282,503,800,70,503,502,649,504,800,800,500,500,500,753,501,282,649,501,503,500,502,800,503,501,800,649,503,649,501,502,649,500,503,559,282,649,800,500,282,502,500,671,282,500,500,705,282,502,501,501,503,16,502,441,303,649,502,500,501,800,503,501,504,16,503,500,501,684,649,649,501,500,282,502,501,800,282,649,502,649,649,502,502,502,107,800,107,500,813,502,502,649,500,502,501,503,500,501,500,503,500,500,282,282,974,504,282,501,800,503,502,503,793,16,800,503,501,649,666,800,119,503,503,502,503,500,500,101,649,835,502,504,501,649,282,502,800,649,502,503,500,927,502,502,502,500,649,502,502,183,503,282,666,500,504,502,800,502,800,502,107,502,800,282,137,501,501,502,282,649,448,502,800,503,502,800,215,16,504,501,581,501,194,800,800,501,772,800,501,503,800,502,501,501,536,503,282,282,649,282,929,649,461,504,500,103,649,649,800,800,503,502,504,502,501,501,500,502,649,501,501,958,501,503,502,500,74,800,649,800,503,503,500,501,800,617,800,800,501,503,501,501,282,502,955,800,800,800,500,16,306,501,501,500,502,37,800,800,502,501,501,649,500,238,503,503,800,649,649,282,649,502,550,740,502,242,282,649,649,503,800,501,504,501,500,16,710,500,500,502,800,649,503,800,502,164,740,282,649,800,501,649,282,282,649,809,500,107,501,238,503,500,500,504,503,486,502,800,500,800,277,503,633,500,501,800,396,16,649,419,503,502,503,800,143,503,502,282,502,462,503,800,501,502,282,16,502,503,504,282,800,504,107,800,800,800,501,502,282,282,500,501,282,15,872,107,503,800,780,649,436,502,500,16,679,501,649,800,649,533,282,649,800,503,502,649,282,503,502,500,500,502,500,502,975,500,501,501,282,381,421,756,649,649,503,502,501,800,673,282,503,16,107,500,761,800,503,502,503,501,494,500,800,503,282,649,649,601,649,705,503,852,649,305,800,800,501,502,502,500,503,672,649,649,282,500,502,500,502,503,502,502,16,500,649,649,282,502,502,630,502,445,501,145,501,800,282,502,649,500,16,503,501,501,800,500,500,800,649,502,684,500,503,500,503,800,502,503,500,16,282,546,501,282,500,800,649,246,501,500,500,649,503,502,503,501,800,16,649,501,502,800,501,503,800,649,800,713,503,502,500,502,501,500,500,503,501,500,876,282,800,649,500,649,502,500,502,500,500,502,501,501,503,100,503,788,649,500,555,501,282,649,667,500,502,502,649,503,503,800,500,649,800,649,247,501,500,623,649,520,16,649,800,734,649,502,503,501,637,824,649,376,500,501,649,501,649,502,500,649,500,800,85,503,502,500,498,501,649,502,500,800,501,502,800,649,617,282,800,282,800,800,502,800,503,649,649,800,800,282,16,800,503,649,649,500,502,800,503,630,800,16,649,503,649,500,502,649,16,467,754,503,375,800,16,649,800,501,499,501,751,649,800,800,800,503,800,809,503,800,800,282,819,649,501,502,500,500,503,500,678,282,282,800,649,550,501,16,649,501,500,502,502,342,649,500,500,649,16,502,282,800,621,502,649,370,649,216,649,649,282,649,501,501,501,500,500,649,282,500,172,503,501,501,997,455,118,282,362,500,800,649,590,501,649,502,500,282,500,501,501,467,282,503,641,500,800,16,899,502,268,849,502,502,920,501,504,503,502,503,503,503,282,502,526,649,800,800,616,502,649,500,501,503,503,502,800,502,605,431,800,16,701,503,501,282,500,500,649,800,282,282,282,501,503,500,115,649,258,518,503,756,406,500,503,503,800,649,666,502,500,649,800,501,649,503,72,503,500,501,500,503,16,800,500,501,436,502,503,501,509,140,800,282,505,649,691,501,800,502,130,503,917,800,502,282,649,501,502,282,502,13,649,282,800,503,504,503,282,501,800,501,818,502,649,503,502,502,800,503,282,282,501,501,500,800,502,502,501,764,500,282,16,503,500,504,336,649,800,500,282,502,874,502,501,649,503,500,941,649,501,500,503,502,107,501,800,501,649,501,501,503,282,500,282,649,503,500,500,800,500,503,649,503,502,649,502,649,118,789,500,501,500,800,503,502,585,504,100,502,504,649,282,103,800,828,500,502,501,800,501,501,16,649,649,705,800,136,282,500,502,501,649,800,504,743,502,107,502,503,800,800,800,502,800,800,649,800,501,501,500,502,800,501,500,502,282,649,504,649,501,500,974,502,503,201,701,501,649,800,556,16,282,503,16,649,800,502,649,500,823,649,501,458,800,503,501,282,649,502,800,800,501,914,649,503,500,800,800,800,341,800,503,645,216,500,501,500,800,503,500,500,649,778,800,503,501,649,501,501,502,16,649,800,771,618,503,16,500,503,503,432,926,500,649,503,501,500,501,500,800,503,503,504,503,502,800,501,800,317,800,586,502,649,649,503,501,500,800,649,924,501,649,501,502,985,107,282,501,501,203,800,502,649,503,800,501,500,649,503,501,500,561,649,502,502,649,649,503,649,800,500,800,800,903,800,282,800,501,502,224,502,501,841,800,503,502,502,649,503,649,66,649,441,16,132,504,282,95,649,800,282,800,500,800,501,282,517,507,800,649,649,800,503,282,649,501,931,500,481,502,800,465,501,16,501,800,856,649,282,503,800,500,282,700,502,282,649,649,422,282,502,432,501,800,649,800,16,649,800,500,800,503,502,500,612,207,611,502,800,500,649,500,16,800,500,800,981,14,502,501,501,501,16,282,649,502,800,502,800,503,500,501,649,503,282,995,502,503,150,16,503,502,500,503,504,500,282,282,503,800,649,800,248,500,649,800,800,103,502,500,649,504,501,649,502,500,503,503,501,800,500,500,501,699,282,500,500,500,502,500,501,501,800,800,705,500,503,892,649,282,888,649,500,502,835,500,502,503,501,500,800,791,282,486,44,502,800,503,502,502,800,16,403,16,800,785,649,501,500,282,503,500,502,649,950,282,501,800,107,649,649,65,282,714,501,381,107,502,502,502,282,282,793,649,589,800,503,500,502,503,503,896,800,503,483,241,282,103,800,500,503,311,174,800,800,649,649,501,800,500,297,800,500,16,800,16,800,800,397,544,500,501,500,649,800,800,502,502,107,727,326,502,800,503,800,649,501,800,821,800,501,282,282,501,503,515,501,282,800,107,800,501,649,16,502,282,282,800,500,503,501,649,649,649,16,208,500,500,503,649,800,502,282,16,502,649,501,49,455,506,282,649,503,501,501,502,800,179,800,503,500,504,800,16,97,16,887,352,502,500,502,504,107,502,649,649,500,501,649,503,16,800,107,649,282,59,501,649,501,800,282,705,686,500,800,500,500,502,500,500,362,500,649,502,649,107,649,501,501,649,649,502,500,503,800,502,500,500,203,649,503,800,800,282,503,502,500,503,500,649,500,502,649,503,501,649,541,900,500,224,500,503,649,501,282,5,800,501,501,397,501,800,148,500,800,500,503,503,649,649,913,282,502,501,282,502,500,503,501,883,504,504,501,16,800,800,504,502,502,501,282,107,800,501,500,788,800,501,502,502,500,501,282,980,503,912,500,501,192,502,500,282,500,800,500,500,970,502,649,501,800,501,800,503,501,500,500,800,649,23,649,800,800,502,501,282,503,500,800,503,502,971,503,800,502,500,503,800,649,502,16,500,503,766,282,915,501,282,16,649,800,503,502,800,800,501,503,503,503,501,500,501,17,282,503,16,502,503,501,968,500,501,500,500,649,501,849,649,500,649,500,282,502,800,501,503,649,503,501,649,503,501,649,736,649,800,503,500,255,16,500,755,649,503,282,107,649,503,800,825,502,649,872,502,386,16,500,649,649,503,503,800,649,282,649,501,800,282,502,649,502,649,502,403,501,800,155,500,800,502,504,800,501,500,705,800,502,502,501,501,282,649,92,500,501,502,501,948,649,282,503,500,16,502,501,103,282,94,16,800,800,800,649,504,502,501,503,501,800,153,500,649,503,922,282,502,504,503,504,107,500,503,649,887,500,501,800,282,16,500,501,503,282,837,875,503,500,20,503,503,800,649,800,800,800,16,500,501,502,649,502,500,16,501,649,282,501,502,500,501,501,800,649,107,800,504,500,649,500,500,800,800,627,502,504,503,649,649,503,501,800,502,816,649,282,800,282,501,502,649,800,501,502,500,282,500,649,800,16,649,800,501,501,500,107,649,501,475,282,500,500,294,16,501,800,649,800,502,800,800,649,501,501,501,282,502,800,649,504,800,500,502,114,800,500,649,501,800,503,503,800,800,500,501,649,503,500,503,282,501,500,91,16,501,649,503,504,502,500,16,504,649,501,428,229,503,282,800,649,500,500,649,501,649,501,500,502,863,502,501,800,16,502,503,501,800,502,502,800,813,800,549,502,503,500,500,502,503,432,500,282,502,670,649,502,503,282,502,649,502,500,282,649,649,503,501,501,282,476,500,502,501,811,500,649,501,500,502,238,649,903,500,912,389,800,269,800,502,800,649,500,649,649,503,502,649,501,502,800,800,800,502,16,502,649,800,119,302,282,500,107,649,800,649,503,500,501,501,649,364,16,500,501,800,800,501,502,501,800,501,800,243,800,504,501,501,282,501,503,502,649,503,282,503,755,800,501,649,649,500,794,502,501,501,800,800,800,649,500,500,501,501,502,502,431,138,800,503,800,503,16,649,502,150,503,649,501,501,500,800,800,282,800,282,282,649,649,232,503,258,500,494,500,500,376,800,70,500,503,502,503,16,501,863,500,501,501,800,762,16,282,800,800,649,800,937,503,649,800,649,503,502,16,371,800,501,500,500,501,501,501,29,800,904,283,500,649,501,649,502,503,58,525,562,649,16,926,107,431,807,502,502,500,501,500,282,501,929,502,500,503,807,502,731,800,282,282,533,32,502,502,649,800,503,649,401,500,500,501,649,502,503,500,500,800,500,500,282,776,502,649,649,503,503,502,649,800,500,282,649,500,501,649,684,649,500,500,502,282,503,800,649,503,282,649,649,501,502,800,800,649,503,501,501,800,502,282,16,282,649,647,800,649,502,282,502,502,861,649,502,503,649,504,500,770,501,503,282,482,503,800,282,649,502,800,715,501,800,16,500,501,649,800,501,282,503,503,16,503,503,800,502,501,503,744,526,703,649,649,649,649,501,609,502,282,649,282,649,503,800,649,147,502,500,503,500,504,721,501,107,602,502,868,501,503,502,502,503,502,500,502,763,500,649,282,500,16,649,503,502,503,502,500,800,501,187,503,500,501,649,800,800,501,9,282,705,476,282,501,282,503,501,800,107,503,282,884,800,649,800,503,282,848,501,503,500,649,502,500,800,791,503,282,503,610,649,502,649,503,100,282,800,923,332,649,641,800,649,458,502,501,800,503,282,16,500,210,502,800,649,939,503,504,924,504,649,649,502,517,503,502,800,500,649,502,500,502,502,500,282,503,501,500,800,549,501,649,501,502,500,800,488,282,503,501,800,667,502,649,800,330,503,503,800,501,800,649,16,501,649,500,800,649,649,504,502,16,649,500,501,501,503,501,800,16,923,502,501,649,800,282,501,649,503,501,501,16,649,729,504,16,705,502,503,649,504,503,16,501,500,503,649,394,503,502,501,502,503,775,502,282,649,503,16,282,800,649,503,503,500,649,502,16,500,282,500,503,503,500,501,504,282,503,649,501,941,502,282,500,800,500,16,501,501,500,91,800,503,175,503,649,498,282,503,16,503,800,500,364,16,500,649,649,502,107,503,16,500,649,846,503,800,501,501,500,500,502,649,649,282,500,501,607,503,501,501,503,500,272,493,501,500,503,501,649,502,800,503,649,800,649,282,15,504,800,503,800,503,500,502,502,107,282,649,502,503,649,500,103,649,503,502,501,500,649,502,502,800,649,282,282,501,623,503,503,800,503,503,501,397,779,800,502,16,800,502,501,503,800,501,418,800,649,501,501,185,800,503,503,649,504,649,500,503,501,503,503,502,501,503,16,501,502,282,501,297,502,649,49,649,282,649,503,649,502,503,107,282,922,503,500,502,502,649,703,282,501,500,439,649,504,800,649,501,800,500,282,501,317,282,649,500,503,649,282,503,503,282,800,800,500,503,517,282,503,649,503,649,500,501,501,649,502,502,501,127,282,503,800,501,502,649,501,502,501,16,503,746,501,503,16,500,993,800,502,503,84,800,500,502,800,502,503,502,649,800,504,502,502,800,546,57,503,503,107,503,800,500,800,502,800,800,501,865,500,502,503,503,500,800,502,501,800,500,89,500,649,213,500,282,503,282,501,501,282,501,800,500,500,282,649,501,16,649,800,500,738,501,501,800,500,649,501,502,649,231,148,158,500,500,504,501,501,500,800,143,575,800,649,16,6,800,382,649,500,502,649,500,482,800,128,502,800,500,800,503,800,282,800,196,539,503,800,503,502,649,503,649,16,649,502,501,502,500,502,501,649,800,500,503,502,282,501,500,242,107,501,460,500,501,649,501,501,503,649,282,503,500,501,649,501,282,502,501,649,503,500,800,502,649,500,504,503,500,649,500,501,501,500,282,503,649,282,282,501,501,500,800,501,754,800,502,501,16,503,503,800,800,800,137,503,501,500,282,800,500,282,649,500,800,503,501,800,649,504,688,500,500,649,501,501,503,503,800,800,649,405,500,500,500,501,501,502,502,649,190,503,502,500,806,502,282,800,649,504,500,16,649,649,501,16,800,500,103,501,501,649,500,800,200,583,502,915,649,500,800,502,502,800,501,500,501,503,282,764,663,501,800,501,800,800,800,504,800,500,282,503,928,800,649,502,503,282,25,649,501,800,800,500,501,649,501,502,282,107,503,482,502,500,695,122,503,800,800,800,800,649,503,502,500,883,241,649,800,500,629,500,282,800,502,453,800,82,501,500,624,570,503,800,649,500,502,800,501,500,500,800,502,289,500,107,800,649,500,800,503,800,502,649,502,502,502,503,16,649,800,282,502,502,500,502,800,502,503,501,800,591,800,502,501,503,649,501,649,16,800,501,800,800,282,188,649,800,649,500,500,503,501,503,500,503,800,503,502,16,504,501,331,500,649,649,93,649,503,502,502,282,62,170,282,501,649,462,649,282,788,501,501,503,800,501,72,847,501,502,501,282,16,649,502,958,16,501,282,306,649,503,971,649,502,503,991,503,502,501,249,112,503,501,649,649,649,500,22,503,503,501,282,501,649,503,800,500,649,800,800,503,501,502,649,649,502,649,800,282,800,649,502,800,649,649,649,800,501,502,800,502,503,225,282,282,503,800,800,649,501,503,502,501,502,800,500,501,501,501,649,501,946,258,501,800,501,548,501,503,502,649,121,994,503,503,503,528,500,503,900,800,500,100,500,500,501,649,500,502,501,501,502,501,501,649,503,282,800,649,840,500,800,796,502,649,103,500,501,649,500,649,107,807,800,503,500,282,500,649,503,649,282,503,500,500,500,503,500,503,800,649,821,649,503,918,503,800,649,800,800,503,649,500,501,501,502,800,502,649,282,500,503,502,800,502,500,350,501,502,502,649,500,501,500,502,995,800,800,800,500,649,502,503,501,282,502,730,502,503,800,502,16,800,500,500,800,800,500,503,580,800,501,500,500,501,800,185,500,282,800,502,503,791,800,282,331,800,503,510,502,503,972,649,527,501,282,500,819,503,282,800,501,184,800,465,649,501,282,502,501,500,500,649,627,503,500,282,500,871,603,502,502,501,408,500,502,92,500,19,16,800,500,282,649,503,502,502,500,980,503,800,502,282,500,500,774,16,503,501,282,503,649,800,502,800,503,502,500,503,282,502,503,649,503,502,500,501,502,103,500,501,16,502,502,503,503,282,503,501,503,504,206,749,811,502,800,16,282,500,781,503,800,500,501,800,502,16,500,800,502,412,282,282,282,504,800,809,501,800,800,16,502,501,649,16,501,501,500,503,502,502,282,502,501,800,16,500,16,503,649,800,649,503,705,241,649,16,503,16,502,800,502,800,503,500,503,501,503,501,12,419,282,744,649,649,501,500,501,503,107,800,649,649,503,503,500,501,500,502,500,628,282,500,649,309,649,501,500,500,576,502,282,501,502,800,103,800,800,503,501,500,649,800,800,35,501,442,800,649,800,649,282,502,503,503,282,649,501,500,649,503,501,800,501,503,501,800,16,282,267,800,800,500,501,502,282,500,503,500,649,649,800,800,500,689,147,501,503,649,503,282,649,107,649,649,502,649,500,800,500,282,649,500,502,503,503,696,502,649,800,554,503,649,318,500,800,503,500,503,94,800,502,282,502,502,503,503,502,282,282,502,107,800,502,191,500,282,500,800,502,500,502,800,501,649,282,995,649,502,649,63,800,601,649,282,502,282,282,800,16,994,500,649,502,649,503,282,800,501,282,502,649,500,107,800,503,282,649,501,282,413,502,503,282,503,282,282,502,501,500,501,649,107,502,445,649,800,649,800,800,502,501,282,502,649,503,901,500,501,501,501,800,503,500,649,502,705,503,16,502,484,501,282,502,503,800,103,500,868,501,649,649,800,800,500,503,16,282,260,778,800,500,749,107,500,501,649,107,502,503,503,800,500,500,16,502,501,107,282,502,649,649,561,501,502,114,503,502,298,649,41,800,500,896,500,501,500,16,800,282,502,500,800,800,503,926,921,987,503,503,500,501,425,504,503,500,800,800,649,800,503,500,228,500,649,103,502,649,503,500,500,502,501,800,482,250,501,503,282,502,800,500,500,502,502,649,800,649,25,587,501,800,953,503,649,501,282,800,500,503,800,500,898,649,649,800,503,502,503,500,282,649,16,501,174,127,282,649,502,649,649,500,501,500,649,16,16,800,16,503,503,800,883,649,500,501,502,502,503,503,500,501,800,282,649,649,500,791,501,107,649,649,800,103,503,800,366,503,649,500,503,503,915,800,705,670,507,649,282,649,501,603,501,501,502,800,502,800,800,621,800,503,800,501,502,46,501,503,649,649,502,16,502,500,501,947,503,501,501,137,888,800,649,500,503,504,501,282,649,800,502,649,502,649,501,569,500,282,282,649,501,503,501,501,16,500,501,502,384,800,502,103,983,503,501,649,500,649,503,474,282,800,501,503,649,500,649,501,282,649,649,800,503,649,502,503,503,502,503,16,16,282,501,282,503,501,649,931,282,503,501,500,503,501,502,16,500,282,107,649,800,502,800,500,800,957,502,500,649,384,88,504,500,500,502,503,503,934,502,800,649,501,649,800,502,107,127,16,502,649,800,71,500,800,500,649,502,202,503,649,500,503,282,503,500,502,503,553,649,503,500,476,649,503,500,800,905,501,501,103,501,282,501,503,503,822,282,649,800,286,500,800,282,649,503,502,800,500,649,503,502,501,500,107,500,504,501,500,500,800,503,800,649,502,500,800,501,503,502,16,503,501,501,503,649,649,500,502,649,800,503,282,503,503,503,500,500,503,103,500,503,500,502,501,502,500,16,800,800,800,110,500,649,800,503,282,501,502,500,800,502,502,16,502,668,649,503,503,501,649,31,800,800,282,107,282,502,649,501,503,649,800,649,403,800,42,649,502,107,502,526,501,500,16,503,503,282,503,649,282,649,500,16,500,503,649,500,500,501,16,136,369,106,914,800,649,282,152,16,503,502,501,649,741,16,503,503,503,273,500,382,649,800,649,503,501,16,434,503,649,500,880,500,800,282,503,500,282,502,233,800,649,649,810,501,502,16,509,501,503,649,501,502,502,500,501,502,503,649,502,501,500,503,282,282,16,502,503,649,501,282,501,503,502,500,800,649,502,500,282,649,500,649,982,500,107,649,800,500,800,800,800,500,503,502,327,800,502,713,502,800,649,503,649,500,502,800,501,16,678,502,25,282,503,503,503,649,910,649,21,649,501,502,381,16,649,500,107,501,502,504,501,504,501,649,500,502,649,282,16,800,502,502,649,502,503,503,502,282,282,928,502,501,502,649,78,649,282,800,500,282,349,500,503,282,502,800,500,503,649,500,500,503,649,501,502,649,501,500,501,503,16,500,500,16,649,500,800,629,308,500,649,800,282,623,500,800,649,503,282,501,103,502,736,282,503,501,500,500,502,500,501,9,500,800,800,500,501,503,501,502,501,152,502,16,800,502,502,282,647,503,502,16,649,501,501,800,649,649,502,448,174,500,503,111,502,500,504,503,503,649,587,504,649,500,800,503,501,502,500,501,800,503,248,504,502,16,502,502,107,282,800,503,649,503,500,500,501,500,503,282,649,800,282,501,845,503,503,501,800,501,800,500,649,501,503,16,237,649,649,502,800,500,649,49,501,894,502,503,649,800,282,800,649,502,503,800,501,410,649,501,501,649,282,502,649,500,503,501,649,503,503,282,503,636,500,649,411,649,649,649,501,502,649,502,649,800,800,800,501,800,502,503,502,159,649,500,501,282,800,800,500,503,500,501,500,500,502,649,501,282,800,502,800,649,502,502,800,798,501,282,503,707,282,282,500,282,502,282,800,502,503,501,504,502,502,501,503,502,503,503,503,800,461,649,800,503,500,503,103,282,107,649,16,800,500,710,649,800,800,502,501,503,700,282,800,103,223,649,828,649,649,282,800,503,500,800,482,500,649,103,921,103,501,502,502,649,500,802,503,500,16,502,282,282,649,649,800,500,16,887,500,504,705,16,502,387,501,800,282,649,800,800,784,800,649,503,649,500,501,500,843,503,649,500,500,500,800,649,364,649,800,503,282,503,500,103,304,800,503,282,260,16,500,649,800,503,503,501,502,800,501,649,649,503,503,282,501,800,107,800,503,282,500,501,503,504,503,800,502,140,649,49,16,503,16,16,500,500,500,789,503,107,504,649,500,800,502,502,565,282,501,282,503,503,800,800,500,800,500,501,800,800,501,501,485,504,649,501,503,503,502,282,16,501,800,500,116,4,502,503,104,649,800,663,16,502,649,757,383,503,436,500,800,649,500,502,502,500,500,71,501,503,649,16,501,502,503,100,503,500,808,800,800,800,217,649,501,16,235,500,501,705,648,649,282,503,160,503,502,503,502,473,500,811,501,503,800,800,501,503,107,502,501,649,649,501,501,503,502,800,800,500,447,502,502,649,500,503,800,503,504,501,500,523,825,501,632,503,800,649,500,500,800,800,503,501,800,800,649,501,103,502,502,282,649,503,503,282,500,649,500,16,800,502,500,501,16,501,800,649,162,503,16,649,502,503,800,502,501,503,649,800,378,500,878,800,649,501,501,503,500,649,501,282,16,500,649,503,649,800,502,503,428,649,500,16,501,502,800,931,500,502,500,501,503,503,344,745,800,500,500,649,500,282,503,649,501,649,502,501,800,649,500,649,649,503,282,282,800,282,800,501,815,282,503,503,501,502,503,800,282,503,16,649,282,282,502,501,649,649,649,502,800,501,626,502,503,107,502,649,501,500,129,502,502,800,503,980,503,502,282,502,500,282,532,649,751,503,800,501,501,503,382,500,502,800,16,501,500,501,649,500,282,282,500,961,649,887,504,500,500,501,500,649,649,502,649,502,502,150,724,501,502,503,800,523,503,800,649,500,501,502,812,500,282,503,503,846,615,703,501,800,503,500,501,500,503,502,800,186,303,282,800,120,502,649,502,92,800,282,502,800,502,504,16,502,503,500,282,299,502,503,800,500,800,107,649,503,649,800,500,501,502,501,500,502,16,502,639,502,649,501,649,800,800,502,800,282,503,872,53,500,503,502,502,501,501,500,649,899,501,16,500,649,377,649,500,500,800,503,501,282,199,503,501,567,503,503,800,800,501,500,502,502,282,503,502,503,649,16,503,502,800,503,800,282,107,500,900,282,873,500,386,282,800,797,282,282,502,501,710,800,800,502,501,16,649,502,282,501,16,500,501,649,800,500,501,500,649,501,282,502,501,16,800,501,501,501,501,500,446,502,800,500,500,649,504,282,800,502,16,501,649,502,649,502,502,500,219,103,503,800,503,282,816,16,800,282,964,500,501,502,282,649,800,502,500,800,649,649,500,503,500,500,671,500,649,503,500,500,501,501,503,500,282,503,501,800,282,959,800,649,500,501,800,282,528,95,502,500,649,800,500,35,968,502,800,346,500,800,282,502,844,503,503,649,16,500,800,501,228,16,500,500,237,800,502,500,800,649,154,502,503,649,501,800,282,800,649,502,760,501,800,158,500,282,502,800,501,502,649,524,500,500,391,500,501,502,503,503,501,649,500,61,282,500,502,649,800,649,502,501,502,649,649,914,501,500,501,152,502,655,500,501,483,390,501,649,500,961,501,500,649,501,501,724,503,649,649,502,357,500,800,501,500,649,501,800,282,503,501,16,500,282,800,503,548,800,503,503,500,800,573,800,503,501,500,503,649,500,800,322,566,501,502,649,649,800,501,503,822,103,500,501,649,503,16,501,177,500,649,282,500,503,800,649,502,790,501,500,500,501,225,800,649,649,500,503,800,800,81,649,693,649,282,855,500,800,649,649,501,501,282,705,503,855,282,649,705,800,193,282,502,500,649,502,107,995,502,800,457,649,800,282,503,501,501,500,501,500,502,800,282,503,800,422,800,500,503,503,501,649,800,282,649,800,282,501,800,989,503,504,501,501,500,503,500,500,726,649,649,500,502,649,501,502,500,800,800,16,502,649,16,502,501,282,503,500,649,502,500,649,503,282,886,504,503,490,561,282,501,649,740,649,500,502,649,649,501,545,503,497,282,503,500,503,503,502,800,71,501,412,500,503,649,230,500,800,502,282,504,502,282,313,16,649,744,16,16,501,500,800,502,500,240,152,26,501,503,503,504,500,800,503,500,282,552,649,501,649,501,500,503,282,501,16,778,800,501,502,502,14,358,107,501,502,649,500,800,501,500,501,501,501,502,800,501,503,501,500,503,800,503,800,500,107,282,503,503,800,503,502,501,501,649,800,157,501,501,227,503,500,800,800,503,502,649,282,500,503,502,501,503,800,282,500,500,602,649,16,800,500,800,500,501,500,502,282,501,502,800,956,103,282,503,504,503,503,502,649,502,503,886,355,800,501,504,501,503,500,649,800,503,502,501,649,502,503,649,282,502,649,501,500,282,858,502,503,500,665,649,800,247,503,800,800,800,502,282,800,913,328,502,282,649,649,800,503,649,500,800,502,502,502,800,501,800,500,501,157,103,503,501,649,282,649,282,16,107,800,500,644,282,500,500,500,649,800,800,472,800,454,503,503,502,800,649,649,649,501,500,500,503,503,500,502,800,800,800,501,501,488,130,503,649,502,502,500,46,800,282,500,501,474,282,500,282,503,16,503,282,649,649,500,107,282,282,502,502,503,502,502,500,649,744,16,800,649,316,107,503,500,502,502,649,502,501,503,502,800,649,282,649,503,800,501,501,503,800,502,649,502,503,503,500,282,806,847,500,501,649,500,501,502,649,649,502,503,503,175,282,800,501,649,502,504,800,800,504,800,501,649,800,282,649,16,500,800,500,501,649,503,800,649,500,649,649,800,332,13,502,500,651,930,501,500,800,500,649,282,500,800,502,800,500,502,500,502,429,501,694,649,502,800,800,950,649,500,500,243,16,502,503,503,16,500,503,504,649,649,503,800,502,16,649,468,800,502,649,502,649,503,502,501,502,649,501,45,800,103,500,500,503,282,16,503,649,800,649,649,508,500,649,503,800,282,356,502,500,649,502,649,400,500,649,800,649,501,292,501,800,503,504,500,649,501,504,800,501,500,16,500,401,649,502,502,502,576,502,501,500,800,649,504,500,502,503,587,649,502,107,800,800,502,800,501,800,502,427,649,503,428,602,503,16,604,649,820,16,503,213,800,800,154,106,800,503,282,503,500,282,500,501,202,756,502,649,503,500,649,850,649,501,649,500,501,502,502,501,502,503,16,502,500,500,266,16,503,649,266,139,500,16,504,142,566,500,649,501,503,502,503,501,892,800,807,500,502,503,660,502,649,50,282,649,503,500,503,501,282,649,800,564,503,504,649,503,503,501,69,649,500,800,503,800,504,501,16,504,504,649,500,500,501,16,502,282,125,502,800,501,649,500,503,502,953,800,500,807,502,678,649,503,107,500,501,649,16,504,649,800,501,501,500,501,800,502,966,500,800,503,503,504,500,800,800,504,800,800,649,500,501,649,282,404,500,501,500,503,502,282,800,898,800,501,503,282,705,758,502,800,504,899,399,500,504,800,107,800,282,500,502,501,503,649,800,800,501,501,705,16,800,502,502,503,503,500,899,649,503,800,326,282,502,501,500,649,502,282,502,800,501,222,504,649,282,500,503,503,503,649,800,649,482,282,800,649,649,550,502,775,501,502,502,649,504,503,437,107,16,800,649,649,501,500,649,502,504,500,649,649,503,405,191,649,501,429,501,800,503,800,684,27,501,16,222,501,502,915,504,503,502,502,502,500,503,282,503,800,501,649,800,282,501,501,500,649,282,282,503,500,503,800,649,501,502,16,502,649,500,501,422,649,676,86,503,800,800,649,649,649,52,502,714,503,504,500,503,649,282,503,502,500,800,500,502,649,649,800,307,500,502,16,649,878,504,800,501,919,502,504,503,800,504,501,501,649,502,649,649,500,649,502,500,501,500,501,850,503,282,500,502,503,149,501,501,642,501,503,502,649,502,282,501,502,800,93,501,649,502,649,500,501,500,98,649,649,500,613,503,501,501,503,778,800,404,504,649,500,501,503,510,800,502,800,955,802,502,833,502,500,500,497,16,16,503,649,800,500,282,119,975,990,502,759,649,500,800,649,502,500,502,458,500,282,500,501,502,501,503,613,500,502,649,44,800,500,501,501,603,500,649,502,649,501,501,649,501,502,500,282,501,501,502,103,649,500,501,800,502,501,500,502,16,800,500,501,500,503,800,649,800,800,649,540,501,282,383,107,501,502,456,503,500,501,500,282,10,649,501,800,829,802,501,282,503,800,890,500,282,504,501,190,500,500,649,501,259,649,503,269,502,501,800,800,503,649,502,503,503,800,502,282,649,503,800,148,800,800,649,800,649,502,503,502,858,500,503,107,865,282,282,800,502,501,503,500,503,500,502,649,501,800,649,500,649,649,501,501,420,503,800,649,17,658,800,502,501,503,500,500,16,349,328,282,504,649,800,503,16,502,800,649,501,501,501,529,800,800,500,503,649,800,859,800,500,504,649,649,649,800,503,649,501,501,649,649,503,649,501,800,802,504,502,502,501,649,713,502,503,503,502,282,649,500,800,501,800,800,500,800,351,338,641,800,500,649,502,213,649,198,800,800,599,501,935,582,501,649,800,501,800,503,501,502,501,501,800,503,800,501,649,501,16,503,500,502,502,501,282,501,501,500,502,957,800,800,649,649,504,501,503,649,107,504,502,502,800,800,501,502,503,501,108,800,559,501,503,504,502,800,500,502,501,503,502,800,502,500,800,950,501,800,503,800,503,282,800,800,500,800,649,501,500,501,800,413,501,500,800,649,649,500,502,282,649,829,501,954,800,500,500,501,649,501,800,503,649,500,503,503,282,398,16,214,500,966,855,16,282,500,398,503,500,649,503,649,501,800,500,800,800,145,800,16,500,500,16,503,649,800,649,800,282,503,501,282,500,500,800,500,501,800,800,501,502,501,501,649,649,16,800,501,800,503,800,901,485,502,282,800,503,501,103,504,500,800,503,649,501,503,568,504,503,680,800,649,500,800,503,800,649,500,649,103,800,502,502,649,502,501,501,503,773,502,800,232,649,502,282,800,501,282,500,919,800,502,500,503,16,649,501,504,502,800,503,503,500,501,503,649,503,503,282,282,649,649,800,302,881,649,800,503,800,282,501,800,282,130,501,107,800,500,501,501,649,800,705,502,502,820,502,649,502,503,282,649,282,502,472,747,945,725,503,503,501,502,889,500,282,500,502,649,501,514,504,282,503,501,158,282,815,800,972,649,501,649,800,667,492,800,501,503,503,500,927,105,501,502,501,648,408,500,649,501,282,891,503,316,16,649,800,274,501,501,649,501,649,502,649,501,861,502,503,501,16,649,649,503,649,649,500,425,502,503,500,636,504,501,504,501,740,501,501,282,809,503,649,282,503,569,649,282,84,500,500,500,500,501,502,500,500,282,282,800,800,29,36,649,16,503,649,502,500,501,502,107,503,501,368,501,800,502,501,800,503,502,631,282,500,714,70,500,501,500,282,500,649,501,500,502,16,649,500,649,883,103,800,500,649,500,501,502,649,500,103,107,16,800,649,649,503,800,168,800,501,503,649,502,501,185,107,500,503,800,500,282,500,649,502,16,800,649,502,282,29,503,21,503,502,282,282,800,501,501,649,503,502,282,347,503,800,503,224,501,501,501,501,503,500,800,503,800,282,800,502,649,223,993,502,329,501,800,500,501,974,800,282,503,649,500,500,16,502,649,503,16,800,501,500,649,500,502,501,800,500,504,502,503,501,502,503,800,504,649,649,107,677,649,501,649,502,649,649,503,503,800,501,501,800,500,282,800,16,500,649,475,502,649,476,586,800,498,796,500,500,500,500,649,502,282,500,500,503,503,501,501,502,649,16,649,649,649,16,500,800,649,502,500,503,503,503,800,501,800,804,503,649,282,310,649,800,500,16,500,649,503,500,407,500,354,503,503,282,503,502,503,500,282,500,649,502,501,503,500,649,503,501,503,502,502,501,800,282,501,503,282,503,649,501,500,108,503,503,503,503,800,503,500,503,800,649,282,502,636,16,33,503,479,503,500,503,501,502,649,502,282,723,239,500,502,500,504,282,500,503,800,726,500,16,503,503,503,822,500,500,502,500,503,649,649,800,500,649,16,483,800,502,503,649,503,501,503,872,502,800,500,502,503,103,503,800,282,479,700,502,501,503,500,503,501,989,503,504,502,282,502,501,800,902,649,282,363,501,503,500,609,500,800,479,800,502,622,231,501,501,500,649,501,800,497,649,800,502,800,500,649,501,649,649,649,503,502,500,800,298,812,500,282,503,502,800,956,501,502,649,800,500,784,800,800,16,503,501,724,649,642,800,503,800,502,887,500,501,649,503,550,502,502,282,282,503,14,502,503,503,500,503,842,501,504,800,649,501,502,501,500,502,649,800,503,501,649,109,800,649,800,500,103,503,649,500,282,504,649,649,15,188,502,502,649,502,504,503,649,500,16,649,344,503,502,649,503,500,502,800,500,603,502,649,500,502,649,502,800,649,500,503,107,649,500,502,282,800,800,501,649,500,503,500,649,502,501,649,649,501,500,503,16,520,192,800,501,649,501,649,502,502,649,501,500,500,578,500,500,500,800,649,503,649,503,503,502,649,800,800,500,856,503,502,501,501,800,649,800,282,649,503,500,502,473,502,502,500,503,502,503,500,503,502,500,990,502,282,501,16,502,500,503,649,649,649,800,502,16,282,501,500,500,800,503,501,501,502,107,649,501,502,649,503,259,282,649,503,282,649,500,800,502,502,501,501,800,800,502,501,278,504,107,649,649,501,800,500,667,649,501,649,800,502,16,503,809,503,500,500,649,641,800,275,282,503,649,528,502,800,317,500,466,501,503,503,282,502,414,157,883,282,282,502,107,501,16,800,800,502,501,502,800,501,800,502,649,945,649,500,500,800,500,649,282,502,332,879,504,800,500,500,282,649,502,16,649,503,502,503,500,500,501,649,800,920,501,501,409,649,501,503,503,503,502,502,501,649,800,502,123,502,800,649,649,502,500,501,500,800,705,500,44,800,649,649,16,16,649,500,503,503,500,501,503,503,649,16,649,800,501,503,504,649,501,649,500,800,502,502,502,503,917,502,500,332,282,502,503,649,500,503,434,478,503,475,501,800,504,889,12,800,282,503,501,428,282,282,271,503,503,501,500,502,649,500,16,500,500,502,504,16,502,800,282,679,502,501,503,503,10,731,502,502,500,282,501,501,800,502,503,282,251,282,282,503,500,649,500,502,501,502,501,820,500,800,649,107,16,702,282,649,282,502,504,500,649,503,649,343,503,456,107,489,282,282,800,501,282,501,649,503,500,502,649,501,504,501,503,500,502,800,421,649,501,500,649,365,854,649,691,500,503,292,502,281,501,502,945,282,502,649,502,800,502,500,500,649,256,502,504,501,16,16,501,500,503,501,503,649,502,103,504,649,504,649,800,282,502,503,695,800,800,75,282,500,503,649,649,502,649,282,800,502,476,503,16,649,52,800,500,502,800,503,800,501,500,502,649,502,503,800,503,502,504,800,649,800,649,500,502,855,501,503,297,501,649,500,501,800,501,282,649,502,259,500,649,649,502,800,649,800,16,500,274,503,503,282,800,503,501,649,800,502,502,705,649,800,503,798,16,503,502,502,500,501,501,800,502,500,502,504,504,502,503,500,503,179,107,282,164,502,103,649,282,500,800,504,800,800,501,649,562,914,282,500,800,503,503,503,282,800,502,649,16,503,503,705,503,503,501,501,348,500,500,502,282,503,500,502,861,500,502,335,502,649,500,282,501,501,800,282,500,502,500,800,502,649,649,502,502,500,800,502,800,448,800,800,502,503,501,502,800,282,503,649,502,978,501,500,501,502,501,500,503,959,282,500,800,504,800,500,501,777,282,500,649,500,282,198,16,800,503,469,649,503,501,502,800,740,800,709,649,272,16,501,500,501,800,500,501,649,649,501,503,500,501,501,500,800,501,501,282,649,500,500,649,500,649,500,649,800,503,500,800,822,800,501,500,500,397,587,649,503,649,502,170,16,649,503,501,649,503,502,500,503,649,282,503,503,649,126,649,503,823,502,649,649,649,504,800,501,282,779,649,503,340,16,503,16,800,503,649,501,649,282,649,501,502,500,66,679,800,16,800,12,503,502,503,800,866,502,504,503,503,70,500,649,503,874,502,500,658,501,649,649,500,503,282,501,501,504,649,282,800,427,503,16,800,503,503,649,500,649,503,502,107,504,107,577,800,503,503,811,503,503,500,500,500,649,503,502,501,500,500,502,502,800,503,501,503,501,649,16,500,501,800,502,501,503,500,500,503,501,800,503,500,501,502,500,649,282,503,501,800,501,649,501,194,800,282,503,501,501,501,649,502,649,649,16,282,800,501,503,501,502,282,16,503,107,500,501,500,500,501,503,501,502,649,649,593,649,800,502,107,502,649,502,800,649,16,501,503,503,107,800,800,649,501,503,16,282,501,16,502,800,107,501,649,800,229,503,800,800,503,649,504,367,503,500,800,282,282,501,800,503,503,502,500,649,503,500,800,502,502,649,500,800,500,501,500,649,503,503,107,503,503,502,502,785,649,649,16,500,282,500,501,500,500,649,500,503,503,500,800,167,282,501,500,501,502,502,282,16,107,500,649,502,649,16,649,500,282,501,16,502,503,553,649,500,500,501,800,16,800,16,500,500,503,502,282,503,282,500,502,502,16,502,800,503,501,800,503,503,901,946,500,7,649,800,800,504,649,282,503,649,502,501,649,649,706,140,503,502,800,500,282,500,800,16,649,800,282,152,501,800,500,504,282,500,503,503,502,503,500,103,501,680,501,502,502,807,765,282,501,500,502,649,501,500,502,30,282,282,501,503,503,500,472,503,393,503,649,500,500,503,16,503,649,502,500,210,107,800,501,391,800,807,649,649,16,503,503,649,501,500,800,501,503,500,800,282,649,800,501,800,446,503,503,501,502,282,649,800,649,503,649,800,427,649,503,500,500,253,501,501,503,502,649,500,502,400,609,502,500,503,500,800,500,179,500,800,501,112,282,649,282,502,501,501,16,503,649,282,649,500,503,794,649,500,503,502,503,502,502,300,16,800,503,500,500,504,800,16,503,503,501,3,503,503,502,649,800,282,501,65,502,800,501,373,502,800,502,79,800,502,503,502,800,800,502,282,452,426,800,800,800,500,649,282,800,604,16,500,501,502,501,503,502,649,501,817,800,708,500,500,500,501,282,800,500,938,501,502,302,504,504,503,502,501,676,800,800,503,800,695,16,649,649,282,501,503,503,500,503,800,500,800,501,502,503,501,800,649,282,195,282,800,500,502,16,968,649,282,721,501,502,107,649,500,595,503,500,500,16,711,16,282,865,282,800,17,689,749,500,800,500,500,500,282,502,503,500,500,501,502,518,502,502,501,228,501,501,500,678,503,504,800,649,500,800,504,16,800,649,472,800,92,676,502,500,649,502,800,282,504,502,501,649,282,504,500,502,800,503,503,503,649,800,501,649,800,649,649,103,502,282,282,502,800,502,502,502,567,579,500,103,503,649,501,503,800,502,503,922,649,800,16,800,282,501,502,649,501,503,800,502,503,501,500,503,649,500,502,912,500,800,426,502,503,500,503,503,500,503,649,16,800,502,501,501,503,503,501,501,800,503,503,500,500,649,649,800,16,504,800,800,500,502,502,503,503,501,72,503,799,800,649,503,500,502,649,800,501,649,800,932,649,670,503,501,282,500,800,500,16,501,649,500,503,800,609,500,800,282,501,503,501,800,502,501,649,282,502,649,500,649,16,800,800,501,502,503,800,502,500,502,502,336,800,282,500,500,282,649,11,800,800,282,1000,502,502,503,107,502,800,501,16,500,501,16,282,800,503,502,828,800,502,501,500,500,501,107,503,501,500,504,282,649,501,502,501,649,619,103,502,500,800,502,502,502,502,649,500,500,649,561,16,924,501,500,504,649,649,503,800,282,352,502,800,800,800,500,502,503,500,148,502,800,546,16,502,649,282,165,502,502,502,655,649,500,800,500,503,501,649,649,502,502,800,649,502,649,200,503,16,503,501,501,501,649,501,502,504,187,501,649,503,501,800,282,800,795,649,803,800,502,282,389,500,501,502,502,503,649,405,800,800,502,502,859,516,517,501,800,282,503,501,502,561,504,501,282,649,501,501,500,501,503,16,503,503,996,282,94,502,282,501,800,500,501,346,649,500,800,500,502,649,500,800,800,800,500,345,500,143,500,502,649,337,501,501,502,282,649,500,649,500,649,304,504,501,649,452,649,362,503,502,371,107,502,649,752,649,107,500,502,500,503,800,649,500,649,523,16,501,16,800,16,501,649,282,153,504,282,500,503,649,502,423,649,502,404,800,800,503,282,649,282,502,501,501,502,502,502,649,503,440,503,715,800,504,800,800,410,649,501,282,800,501,503,800,705,800,16,800,800,483,282,503,800,800,503,503,500,649,649,504,502,649,159,500,107,501,502,800,502,502,282,502,504,64,500,800,500,800,649,649,103,470,500,502,503,16,649,649,501,800,500,501,503,800,500,649,501,500,504,714,800,502,500,500,800,500,649,256,765,500,649,265,500,282,282,502,501,16,16,93,282,503,500,502,707,502,800,999,502,503,502,501,859,500,503,649,282,501,502,504,503,800,909,649,649,502,501,282,500,642,649,504,800,502,500,503,800,500,800,282,501,500,649,800,501,503,649,502,649,501,282,501,649,107,800,800,502,503,649,800,502,282,800,16,503,503,649,502,583,282,800,107,282,800,500,16,503,500,501,502,501,883,911,500,503,500,500,503,649,986,502,501,722,500,501,649,501,282,503,649,878,503,800,16,800,282,649,501,500,503,501,649,649,502,447,503,800,503,649,800,503,649,501,500,501,800,737,502,649,282,800,649,501,282,502,502,751,282,449,800,649,649,800,800,282,649,500,282,649,500,503,468,503,473,503,16,800,16,503,501,502,800,503,503,501,501,282,800,502,501,107,502,501,502,800,800,649,16,500,501,503,282,503,800,501,503,103,800,876,649,649,500,500,500,800,503,501,800,48,503,107,501,649,501,501,16,503,162,503,503,800,500,500,477,504,267,649,503,503,502,500,500,503,503,233,503,503,800,800,649,503,649,649,500,502,800,503,233,500,282,11,503,500,499,282,502,500,500,500,810,503,16,649,649,501,890,500,501,800,501,502,800,16,649,103,16,800,282,501,849,502,800,282,503,655,840,504,503,501,282,163,502,502,649,500,351,500,649,500,800,501,500,502,500,503,502,502,500,800,501,502,915,800,500,503,800,501,501,282,649,282,500,16,937,649,800,502,649,282,503,500,716,800,649,649,501,502,204,800,282,502,649,649,501,181,649,649,502,770,503,117,285,503,103,800,501,503,502,800,649,282,800,800,103,998,501,503,387,503,739,500,501,503,648,503,500,800,500,800,348,502,503,649,587,800,501,501,800,771,503,502,503,649,501,503,501,501,501,649,984,800,500,800,847,501,500,649,500,649,501,649,649,800,500,649,800,282,359,502,282,800,501,649,501,503,504,800,502,80,649,65,649,800,500,800,800,503,690,500,649,800,500,502,649,649,501,502,694,503,282,501,807,534,501,503,282,282,503,500,107,282,956,502,503,24,501,503,500,649,282,503,501,662,502,800,800,503,800,649,800,501,502,503,500,649,501,500,500,500,649,649,502,502,501,800,800,649,282,649,500,501,500,500,501,503,503,891,503,800,231,619,500,501,500,503,502,500,800,800,500,500,649,76,501,500,501,500,649,282,502,649,500,282,501,572,649,502,503,500,649,534,502,502,501,501,769,501,16,628,649,500,800,800,503,649,800,501,649,649,502,539,503,501,504,502,800,501,501,282,649,649,502,503,282,649,800,500,503,500,502,16,502,501,800,504,146,800,615,800,800,500,800,800,800,504,501,862,16,503,502,282,502,649,16,500,502,649,649,449,649,501,503,502,504,282,649,503,500,503,800,282,803,501,503,282,503,282,502,502,502,503,649,503,500,502,680,501,502,503,649,16,501,500,709,800,187,501,800,800,649,16,649,502,649,501,251,503,800,502,649,502,501,501,809,503,320,501,800,503,476,502,501,501,649,501,501,733,502,502,503,800,649,469,500,503,503,500,53,282,107,503,502,9,503,502,649,500,502,503,649,500,501,502,500,503,649,800,800,723,500,432,282,849,503,800,800,16,527,500,500,275,501,313,501,649,502,889,282,800,500,502,800,502,501,282,500,107,19,28,501,475,862,504,500,800,195,800,649,649,502,502,282,502,501,502,649,800,800,501,503,501,282,635,800,189,649,500,504,649,500,571,800,800,705,500,502,649,503,800,649,503,282,500,502,503,501,16,500,649,500,16,501,963,649,800,800,800,800,500,502,501,246,649,867,299,500,649,282,503,990,649,503,649,16,503,319,16,500,501,68,500,16,282,500,502,501,800,800,503,503,282,500,16,800,500,501,649,501,282,500,257,500,800,800,845,800,371,282,282,501,500,7,501,800,337,500,16,228,503,503,503,503,649,502,800,649,987,800,502,800,16,503,500,800,871,649,16,504,563,503,649,800,800,800,501,501,800,502,800,500,504,502,800,44,746,282,800,501,501,502,607,502,995,501,800,500,203,282,800,500,504,503,501,757,515,649,800,501,501,800,564,500,16,124,503,282,282,16,282,649,501,649,13,383,500,334,503,800,282,502,501,9,500,502,649,597,500,634,502,502,380,500,800,649,501,503,503,649,503,649,103,503,800,649,800,503,957,800,323,282,503,503,500,800,649,503,649,502,800,800,649,649,124,504,500,502,800,282,800,502,503,503,800,649,16,500,686,503,401,501,502,503,501,649,500,800,500,501,649,649,500,503,649,816,502,502,500,503,503,282,500,800,649,503,503,800,800,649,649,649,226,502,884,649,487,800,500,649,282,168,500,501,649,501,503,800,500,501,500,504,503,502,502,503,649,501,501,16,503,500,286,502,649,502,504,501,503,649,500,379,503,501,501,503,649,501,649,800,282,800,504,282,501,502,649,236,500,649,500,500,800,502,501,192,502,196,504,502,16,16,107,800,282,502,501,649,503,502,16,282,16,807,500,500,16,503,503,800,501,503,502,800,16,501,649,503,503,399,500,100,488,502,800,501,649,332,503,649,502,502,501,502,502,282,649,500,502,649,649,503,500,649,800,282,500,107,503,969,502,502,501,282,501,502,16,16,502,502,160,649,107,800,500,800,800,649,800,501,982,16,649,502,851,800,711,16,502,282,500,502,503,296,893,16,501,625,504,649,282,500,282,503,502,502,800,649,502,103,502,503,282,16,649,16,800,16,692,500,501,649,76,649,649,502,269,503,800,500,503,800,502,500,649,503,16,502,500,649,504,649,649,751,649,501,282,501,677,503,800,649,649,456,800,502,501,49,126,649,501,500,649,29,23,897,502,649,502,16,800,503,502,800,649,147,432,502,501,500,500,500,120,500,501,502,958,213,282,500,502,504,502,502,500,649,500,282,502,502,282,800,800,800,503,503,502,800,800,503,510,502,501,501,501,800,503,282,800,484,502,649,800,501,500,800,503,501,649,800,800,800,500,502,502,503,500,103,649,649,226,500,16,282,500,504,502,503,15,501,649,502,16,282,503,649,282,500,16,800,502,800,503,649,501,503,800,503,800,501,336,502,649,800,503,501,800,503,503,500,153,800,800,503,500,501,360,502,203,282,649,282,743,501,649,503,800,705,649,501,500,649,503,800,800,882,503,503,649,500,502,800,501,800,16,282,282,800,649,800,326,503,500,940,800,501,503,800,501,800,503,800,282,649,500,800,629,501,16,16,800,827,503,504,500,502,885,649,800,800,500,500,649,504,503,800,282,282,503,649,503,800,282,500,503,501,649,649,501,649,800,502,649,503,800,501,501,502,503,947,481,502,649,649,800,107,77,502,500,800,503,502,800,502,800,778,800,502,501,186,503,501,501,501,500,649,502,502,107,500,800,800,800,282,282,503,800,16,500,167,649,503,800,503,503,282,649,502,501,503,649,282,502,16,649,858,649,800,103,800,152,683,649,800,500,800,501,800,809,873,502,800,282,649,649,848,500,503,501,501,503,503,597,503,503,501,503,502,358,800,502,219,282,649,800,927,501,800,800,16,268,500,800,501,500,800,503,282,503,282,800,800,500,501,502,500,689,649,800,649,503,502,502,503,503,500,491,649,282,649,501,501,16,800,502,502,649,503,502,503,503,503,649,612,649,502,501,501,518,606,16,500,966,800,789,500,753,649,282,852,649,294,649,649,800,257,504,500,649,282,800,501,800,282,500,504,282,502,800,501,282,500,502,500,504,649,649,501,800,16,649,501,502,800,800,500,500,649,502,282,500,629,502,649,503,933,649,800,500,800,857,800,649,31,500,649,932,503,504,500,16,649,649,800,501,649,500,500,511,502,503,502,649,502,503,501,91,309,282,503,807,649,500,502,597,649,501,393,282,800,649,282,282,503,649,500,501,649,502,225,282,502,806,649,649,800,502,504,501,282,649,503,800,705,800,282,117,503,502,503,853,800,503,501,503,282,730,500,649,649,503,649,501,267,649,500,501,503,504,800,500,649,800,113,501,500,800,503,500,16,649,598,800,501,500,282,649,501,502,800,649,649,501,502,107,282,502,800,500,503,500,649,503,800,107,800,649,503,500,282,649,501,503,800,649,502,503,500,500,649,500,843,649,16,503,649,486,502,501,649,398,503,502,649,500,800,502,501,503,500,160,501,28,501,282,509,649,16,800,909,161,500,800,16,282,503,502,501,503,503,649,503,930,502,800,500,501,800,503,502,543,800,501,502,500,500,800,649,394,501,649,282,800,800,501,16,649,800,649,502,530,800,500,503,500,502,500,282,44,500,649,800,501,800,798,282,540,282,503,572,649,503,52,501,945,503,503,282,649,503,500,502,282,500,365,502,800,502,800,501,503,618,500,649,501,282,500,800,282,800,800,503,801,649,800,503,501,500,649,501,800,107,503,846,500,503,500,468,501,501,16,649,156,500,500,649,503,649,502,649,800,968,649,500,504,282,649,507,500,649,502,649,501,502,503,649,502,501,980,501,649,282,503,500,649,500,562,801,649,881,500,800,553,649,831,649,501,501,503,649,649,649,649,103,500,800,649,800,800,649,500,504,800,501,502,305,282,329,282,649,501,502,103,503,503,107,500,503,440,705,800,800,884,649,501,508,649,985,465,502,282,467,103,800,138,800,649,500,503,649,501,800,501,501,103,500,500,649,600,503,457,500,503,361,282,503,501,501,649,502,16,800,500,654,500,500,649,16,503,728,649,16,502,500,800,649,800,282,649,503,649,282,282,800,54,800,500,649,800,503,282,501,282,649,162,649,503,649,501,800,501,503,500,800,500,504,282,501,502,500,382,501,500,958,800,503,502,800,282,504,502,501,503,800,503,503,800,502,503,800,630,500,503,282,800,501,501,501,500,649,502,800,503,500,500,800,649,500,800,686,800,503,503,501,501,282,16,800,107,845,282,800,501,800,282,503,800,649,16,437,859,500,689,649,501,649,500,800,649,282,503,502,500,800,500,800,503,649,800,501,800,800,500,16,16,502,500,500,503,905,500,502,500,503,503,502,501,501,500,649,282,800,649,500,800,16,649,500,504,502,282,800,502,649,649,800,84,502,800,501,16,58,503,140,16,501,282,282,502,800,503,501,802,749,649,16,282,649,800,501,282,800,500,981,649,107,501,16,501,649,80,500,16,502,501,502,800,282,501,879,649,500,340,500,503,501,800,502,500,502,800,502,649,502,43,501,500,500,227,16,500,452,282,501,588,501,727,800,31,502,501,282,500,800,100,649,300,282,357,800,502,800,800,800,500,501,500,503,501,500,649,500,501,500,910,649,503,501,503,649,501,502,764,503,107,502,800,501,649,502,800,501,800,649,705,954,953,502,501,502,500,282,500,501,502,282,649,649,502,974,800,800,502,501,800,282,500,501,500,500,18,503,502,503,37,501,282,500,500,16,502,282,282,800,800,103,649,501,504,502,500,503,500,649,344,504,705,138,649,649,502,649,502,532,41,503,501,800,502,501,708,649,500,503,649,503,800,800,107,500,910,502,503,503,500,503,501,501,501,649,649,649,800,16,73,800,503,649,698,800,503,649,503,800,663,503,800,503,620,649,502,503,649,502,631,976,282,868,852,501,502,500,649,503,282,503,503,107,16,501,986,500,184,800,500,800,502,533,282,503,501,500,500,501,500,959,503,502,500,455,501,502,649,502,501,800,282,649,19,800,501,649,502,500,16,502,501,502,613,501,502,325,800,500,800,649,938,501,503,148,502,501,649,501,649,800,501,812,500,501,826,503,800,78,503,604,800,800,504,800,501,501,501,649,504,501,800,500,649,748,503,504,502,502,649,502,503,500,649,504,282,649,501,16,500,510,501,649,500,439,503,500,503,503,500,649,503,103,501,16,500,679,500,500,649,500,649,649,500,282,501,500,649,649,455,282,305,501,500,503,282,500,852,649,502,500,501,502,107,501,500,501,282,471,502,501,649,856,503,700,649,503,800,800,500,501,800,503,500,282,16,993,282,826,503,282,502,500,649,503,282,649,502,800,504,501,503,649,500,253,649,107,768,282,503,503,503,500,583,502,503,503,775,502,504,503,800,800,501,473,649,500,502,500,502,649,649,500,500,986,502,503,800,490,800,800,649,503,649,714,282,503,649,649,649,500,117,649,504,800,504,501,800,282,503,501,500,800,800,502,649,500,503,800,649,500,500,649,501,503,800,16,37,502,504,500,649,649,282,503,143,800,500,503,649,501,502,649,500,501,501,501,800,503,649,800,800,503,501,502,502,503,282,503,503,502,502,502,16,503,800,16,649,501,432,500,947,500,649,501,501,649,503,502,800,502,576,500,502,649,502,503,800,800,649,408,701,503,16,500,413,502,649,521,503,978,282,504,734,800,501,16,282,500,502,503,301,501,282,504,500,800,503,502,876,800,649,504,501,500,649,503,649,500,649,501,503,285,800,800,500,501,823,500,501,649,800,503,107,501,503,16,501,501,502,649,645,503,16,800,500,824,501,800,800,503,502,649,502,501,352,595,503,500,649,500,503,680,503,800,503,501,103,352,643,503,800,649,501,502,800,501,282,503,22,282,503,502,735,649,800,800,504,800,571,500,904,501,282,16,800,649,711,800,502,500,500,503,800,500,16,282,500,769,16,503,800,649,500,282,500,501,725,282,800,282,282,282,502,854,504,649,502,500,504,765,501,503,501,503,503,501,649,503,800,500,16,393,500,503,503,282,329,715,800,502,501,502,16,500,178,502,800,502,23,501,846,503,501,737,503,171,649,500,800,649,502,800,639,282,39,282,502,501,800,500,874,649,503,503,503,501,501,501,500,649,800,649,500,885,649,910,800,649,500,282,800,500,649,800,501,501,800,282,800,503,503,649,282,964,800,282,299,502,378,314,501,282,800,501,649,503,649,501,800,500,800,503,500,649,355,502,501,501,500,501,16,282,503,649,500,500,800,503,500,503,800,500,501,649,501,972,107,800,501,502,502,502,500,282,503,503,502,78,649,800,649,501,800,800,503,577,800,501,503,649,500,800,800,282,282,900,503,800,800,503,649,503,282,730,502,501,502,501,800,800,800,502,649,503,649,649,16,502,502,16,649,502,500,720,500,504,800,500,500,503,503,503,502,502,502,502,500,500,649,503,800,282,649,649,800,649,501,649,934,343,502,59,504,503,502,649,800,649,503,502,501,500,649,975,502,503,299,800,501,649,500,649,501,649,649,800,500,16,42,107,502,502,282,649,686,501,501,501,500,502,16,500,800,282,500,649,148,502,502,502,800,800,649,501,500,16,800,800,800,500,501,800,502,482,501,282,649,501,800,356,649,501,501,800,649,653,649,502,209,502,800,800,503,502,501,502,501,800,25,282,282,18,588,580,501,501,800,282,501,800,502,501,282,500,649,500,501,503,282,500,387,282,800,503,503,282,104,503,649,501,501,282,701,503,503,800,572,354,500,649,502,16,501,503,501,690,501,502,502,500,9,500,500,103,502,500,800,501,800,649,800,501,800,800,501,649,502,649,503,501,282,282,649,500,502,649,500,501,649,16,500,503,666,501,800,649,649,500,800,503,282,503,503,705,100,16,500,649,649,800,502,282,503,501,800,586,502,502,800,502,501,16,282,502,282,502,501,649,800,500,500,800,444,800,501,800,503,649,502,800,501,500,649,282,649,500,16,501,7,503,649,500,500,107,800,649,282,501,16,649,800,312,649,649,800,16,282,649,500,800,800,502,503,498,503,500,649,503,147,503,501,500,282,500,800,826,503,503,501,503,649,282,500,503,800,649,502,503,610,501,649,500,800,503,88,649,502,800,503,500,282,810,502,649,504,500,800,649,500,500,502,649,649,16,501,800,502,503,601,503,649,562,282,501,502,649,501,800,282,502,500,502,800,282,503,502,501,282,811,282,503,649,500,336,503,649,500,649,503,707,649,800,649,941,719,88,500,705,501,500,502,502,501,503,649,807,502,503,800,501,282,501,108,16,502,503,800,800,107,800,756,503,800,800,502,501,503,500,502,649,800,503,501,502,800,107,649,800,649,501,148,800,503,649,649,500,107,800,501,800,502,800,649,503,800,502,800,502,501,507,503,487,502,500,517,800,825,16,282,489,500,502,800,503,649,500,500,501,502,107,502,500,500,500,500,500,501,800,800,501,946,800,282,500,290,649,800,502,502,502,501,624,649,501,16,503,500,503,503,503,502,501,500,649,282,502,502,503,503,501,502,503,16,502,502,503,502,800,500,649,601,229,649,500,16,502,500,503,502,502,800,502,107,500,500,81,800,453,500,503,746,800,800,503,502,163,663,502,129,16,800,282,800,649,649,502,376,500,502,16,282,649,501,502,503,16,503,282,16,503,501,770,503,649,503,501,800,800,800,547,503,501,293,503,500,502,800,503,800,500,800,800,758,800,501,503,500,16,800,502,503,649,692,501,100,502,649,503,282,501,16,501,800,500,790,191,502,501,103,503,800,282,503,282,826,800,649,502,800,503,500,503,649,500,800,500,502,282,500,502,826,800,502,502,500,16,502,800,502,501,502,500,500,649,800,502,501,502,500,508,500,503,649,852,911,649,503,500,649,501,800,800,800,501,282,501,501,3,500,503,502,800,982,409,502,354,649,649,502,97,503,502,500,502,649,649,800,500,504,800,502,502,301,649,503,500,649,501,500,500,649,501,501,649,504,501,501,501,282,800,282,500,649,504,488,649,503,503,150,649,503,501,501,502,16,210,945,800,501,800,800,502,649,107,16,504,504,500,282,503,500,16,502,500,800,501,503,649,800,16,649,500,800,800,210,501,501,294,502,500,800,649,502,501,800,649,501,501,587,32,502,502,502,649,649,649,503,649,500,709,282,870,800,749,649,502,501,503,282,223,500,501,502,503,503,500,500,16,500,502,649,501,500,800,502,503,500,649,649,502,107,503,503,501,501,503,501,500,344,503,107,282,501,276,501,500,500,501,573,553,501,800,504,282,501,500,503,500,411,969,3,649,502,649,859,502,500,500,440,503,501,103,500,502,800,500,16,502,502,282,500,649,501,500,800,501,800,649,324,800,800,503,800,503,88,800,502,649,107,500,500,16,649,649,16,504,16,503,800,500,800,504,502,500,500,500,690,107,500,501,504,481,282,644,503,800,878,649,282,248,503,282,800,500,800,501,503,800,500,979,502,282,800,298,500,500,800,502,649,500,282,710,800,680,16,503,759,742,16,649,282,502,503,800,503,503,504,503,500,800,800,503,16,800,235,800,16,501,503,500,282,842,503,390,800,842,500,649,591,503,800,502,500,282,502,502,800,500,800,282,529,800,649,502,502,649,800,16,503,502,800,800,502,436,502,649,649,800,502,800,501,649,800,503,649,699,800,502,278,282,649,816,622,502,500,503,502,501,649,501,640,107,503,501,649,503,16,800,500,501,503,503,503,282,500,649,64,503,282,503,220,800,130,501,501,501,502,13,502,800,503,282,800,800,197,500,503,800,800,502,389,503,306,649,503,501,503,800,501,500,649,504,503,800,500,502,924,502,569,16,503,800,500,649,501,503,503,500,501,503,504,502,800,282,800,500,649,649,356,500,503,504,503,503,201,502,503,649,649,503,504,800,800,500,800,107,209,501,503,502,503,16,503,501,501,500,649,501,649,503,502,502,500,800,487,503,924,501,500,501,502,502,800,503,800,649,649,282,649,503,500,502,500,500,504,23,501,503,800,649,800,501,649,649,503,649,800,16,500,800,503,500,681,16,500,649,800,800,42,502,500,633,501,649,502,500,649,500,500,501,502,500,649,107,500,190,649,16,502,601,649,502,800,800,649,800,501,500,649,501,282,500,503,502,501,16,501,500,501,649,500,500,504,800,649,800,502,282,16,649,502,649,800,501,649,502,800,649,800,501,800,502,104,501,800,501,282,16,502,503,501,800,649,13,743,501,500,800,800,502,503,504,34,800,649,649,502,502,503,310,38,500,500,501,282,501,501,503,502,385,649,500,500,500,504,746,502,282,649,343,800,649,701,836,800,501,887,500,502,503,649,4,649,800,688,800,500,501,503,502,649,503,500,282,649,502,16,501,282,800,800,500,502,649,649,800,503,501,781,107,500,282,500,501,500,500,503,800,502,649,956,873,800,16,282,800,649,282,501,16,503,500,501,503,500,649,503,500,649,649,502,649,282,502,500,501,282,500,649,107,649,503,502,501,777,503,502,414,800,502,170,503,503,500,503,503,502,500,282,502,501,16,502,502,648,800,500,649,649,501,16,500,649,649,500,500,420,501,503,800,370,649,897,501,16,502,503,503,503,649,800,765,502,503,649,800,502,800,500,443,649,649,800,503,502,500,504,501,282,649,502,502,180,649,469,370,649,16,800,492,503,16,502,500,501,649,503,501,800,16,107,500,502,503,501,649,16,800,649,649,500,502,503,502,500,705,282,800,503,800,502,500,180,501,16,501,503,800,649,501,503,501,501,502,282,501,502,800,501,649,800,800,16,501,800,567,500,399,501,649,16,800,501,500,800,800,800,500,800,649,500,705,500,501,502,282,502,643,501,649,503,501,278,800,502,998,800,501,500,503,503,626,800,107,503,502,503,282,800,759,649,235,502,501,502,282,502,500,800,800,500,800,16,502,501,784,800,500,100,800,800,107,800,502,16,881,800,800,800,502,649,282,282,502,501,501,800,282,800,502,503,502,502,16,800,705,501,501,500,967,503,501,649,500,649,380,503,483,282,141,501,500,502,800,16,361,502,501,800,503,649,800,677,494,649,502,503,501,649,800,649,649,800,501,282,800,649,800,501,649,800,500,502,282,18,649,503,504,502,649,762,503,649,799,504,649,649,800,870,500,501,501,500,500,503,500,800,501,471,501,800,649,20,500,503,500,503,500,500,649,502,503,502,502,649,107,501,501,683,800,501,800,16,503,16,800,501,800,649,503,282,884,282,503,501,930,503,501,502,282,436,249,501,500,501,504,800,282,649,502,800,501,502,503,649,502,282,502,500,434,501,282,503,502,282,282,649,503,800,282,500,961,715,182,503,502,649,502,282,500,800,503,502,649,502,800,800,649,800,501,16,608,800,502,335,500,649,501,502,501,503,649,241,502,800,502,503,898,501,800,502,800,500,502,500,500,649,800,800,503,649,500,501,800,282,503,894,558,800,500,956,502,502,503,501,502,503,800,500,800,502,503,503,501,503,649,41,649,800,503,504,503,500,502,501,649,324,649,503,649,800,800,282,649,503,503,800,504,649,503,501,800,649,501,649,800,503,502,503,649,10,328,502,503,500,649,649,649,103,503,43,503,649,879,502,769,502,282,649,282,503,800,501,502,501,173,282,501,501,985,649,649,500,282,800,502,800,649,502,649,649,800,800,928,503,649,309,501,800,502,500,649,501,649,500,649,501,500,500,501,800,16,503,503,500,501,503,503,501,800,500,503,503,502,800,800,503,282,16,649,503,47,501,503,502,502,500,502,649,500,282,501,502,500,370,16,800,503,282,282,500,501,500,16,16,800,649,271,649,500,705,503,800,502,501,649,501,93,500,616,502,501,502,649,502,502,503,549,649,502,671,800,500,500,800,503,503,501,502,503,502,289,500,501,649,503,555,503,649,502,16,649,800,282,501,593,649,504,502,501,502,649,504,16,282,503,500,800,649,730,500,649,504,44,500,502,500,501,800,504,503,800,800,502,500,501,503,800,501,16,501,501,500,500,282,649,649,501,501,501,800,502,500,649,282,800,282,800,501,502,502,800,501,502,503,649,218,500,501,649,690,500,154,800,800,501,503,504,502,427,501,743,800,502,770,500,723,103,503,501,501,16,282,107,504,649,800,500,800,16,503,501,502,501,500,282,649,501,503,107,501,504,500,649,501,502,282,503,800,103,500,503,282,500,649,282,800,828,503,501,800,503,500,800,501,649,501,501,503,500,649,16,502,502,502,282,500,649,800,503,500,918,282,501,501,501,502,649,479,503,503,649,800,503,501,503,315,503,501,570,502,800,504,649,503,800,748,500,649,649,502,500,501,649,503,502,649,504,502,502,722,800,503,282,191,500,503,649,282,649,501,502,800,282,649,503,800,503,267,282,778,800,800,500,649,282,502,649,349,502,503,502,503,500,16,649,502,649,504,500,502,500,500,501,500,500,584,800,502,800,988,649,903,649,760,502,500,502,16,800,502,800,501,502,800,502,282,500,959,500,87,572,107,503,504,500,941,87,501,53,502,282,800,649,501,649,501,649,500,500,503,657,649,649,649,503,504,503,649,503,501,649,502,500,800,502,325,282,800,501,503,949,500,100,306,503,649,282,800,668,500,282,501,500,213,502,503,800,649,503,752,174,503,503,165,503,282,500,502,501,978,649,877,502,504,501,503,800,16,500,503,800,606,503,649,649,649,502,649,282,503,500,500,502,503,834,282,16,501,502,502,502,502,649,500,502,107,800,16,501,800,800,649,501,800,501,649,649,649,500,502,731,282,75,500,16,16,107,649,500,500,500,649,800,459,500,62,501,502,500,996,649,292,502,306,800,16,503,282,502,649,503,501,503,500,501,800,649,649,502,649,504,649,800,705,500,503,664,753,503,501,16,282,502,500,501,503,504,920,502,282,503,649,968,501,502,800,282,780,500,586,501,282,503,503,503,469,925,500,861,282,502,503,503,502,500,504,500,502,503,282,107,128,500,503,794,502,503,504,649,502,649,501,220,282,503,503,800,649,500,244,649,500,501,502,226,282,501,473,501,502,502,649,482,800,282,502,502,500,657,501,649,649,502,649,649,500,501,503,502,800,501,649,649,500,502,906,67,649,503,282,501,503,504,800,500,502,800,500,501,501,800,649,457,501,874,501,503,282,500,502,501,649,500,649,500,170,223,800,16,501,649,800,501,503,502,282,103,800,509,501,502,366,282,649,800,503,800,500,503,501,501,501,503,649,649,500,282,502,503,503,282,282,502,502,500,501,502,282,502,282,502,649,800,500,501,977,503,500,16,503,800,502,305,503,501,502,501,503,282,503,502,480,649,682,502,500,501,16,649,502,800,649,800,501,100,502,503,649,282,503,502,500,110,502,800,503,502,16,282,502,800,503,800,928,649,462,503,649,503,800,800,501,503,501,715,501,500,503,501,649,502,503,503,812,800,501,437,501,501,800,800,282,649,649,500,500,502,893,606,800,16,591,282,502,503,500,604,502,501,800,400,649,282,501,244,501,16,705,502,973,501,649,502,800,501,649,800,503,190,800,800,501,503,500,502,500,892,501,800,800,172,501,282,362,500,282,800,500,282,866,649,503,649,502,502,501,502,800,649,800,649,649,503,324,504,502,800,800,282,800,503,800,904,800,500,501,89,500,501,649,800,649,444,649,649,501,500,502,502,502,503,649,503,502,16,502,282,501,558,649,503,366,198,501,501,649,649,502,649,649,501,501,119,16,16,500,800,16,502,500,638,998,851,282,502,800,500,500,502,500,501,16,502,649,800,503,800,502,649,800,500,502,500,649,501,649,649,107,649,500,502,503,649,502,800,800,500,489,107,800,115,501,500,503,503,800,22,534,282,502,282,502,503,631,282,503,501,183,907,80,798,282,501,502,500,800,543,884,800,800,282,800,500,503,649,781,138,502,501,105,649,649,649,502,800,282,133,800,502,503,500,561,199,500,501,501,503,501,16,501,649,500,282,500,500,502,16,800,210,500,649,503,503,502,800,649,800,105,500,649,800,660,282,16,649,632,502,503,501,282,282,649,649,16,501,649,501,503,501,800,800,593,501,502,503,649,649,710,16,503,800,649,649,501,500,502,501,504,649,501,16,282,800,502,103,501,503,503,70,649,649,649,800,502,501,501,502,502,800,659,649,282,501,282,666,800,800,501,502,503,800,503,502,282,630,502,665,800,502,649,503,503,502,800,501,468,500,500,502,282,649,501,502,501,503,500,649,800,800,649,649,649,800,282,800,502,501,953,502,800,800,503,282,503,500,503,649,503,800,282,503,503,503,800,501,501,502,501,502,503,649,502,502,501,503,503,575,649,500,501,500,503,500,502,500,500,500,649,501,502,502,649,502,501,800,800,501,503,500,502,800,485,504,502,659,800,504,484,800,649,501,501,649,649,501,500,649,649,304,502,503,567,500,242,701,649,800,502,501,800,500,400,500,500,800,844,800,800,649,500,502,501,649,800,800,500,800,800,649,16,502,800,503,800,728,533,103,649,500,503,998,282,501,16,503,282,649,502,800,501,649,500,800,500,800,800,823,504,800,502,501,284,500,501,800,649,649,503,638,530,502,800,500,503,800,649,501,649,282,564,282,503,800,501,800,503,800,16,649,500,649,502,16,500,502,282,501,501,503,503,501,501,501,502,471,800,501,16,649,501,800,502,649,649,649,501,501,501,800,500,800,282,504,500,349,649,16,649,501,649,649,501,502,107,501,502,969,501,501,282,500,502,503,556,800,501,501,501,500,501,500,500,503,649,503,503,502,43,932,503,503,282,282,504,501,649,502,248,503,800,967,500,800,503,433,502,502,503,501,815,818,504,500,800,800,282,807,800,502,16,502,649,500,552,649,649,500,501,502,503,649,500,800,500,107,503,103,800,800,503,800,503,503,649,502,501,704,502,504,428,16,535,945,503,649,502,500,660,500,301,501,502,401,800,500,504,791,800,501,800,649,501,503,649,924,503,649,502,503,500,502,504,500,227,282,501,502,705,16,649,530,500,649,502,649,649,800,17,501,800,282,649,713,502,649,800,800,649,503,6,649,500,127,502,501,282,502,107,282,800,501,502,16,501,800,500,501,282,282,503,503,800,649,649,501,263,800,985,400,503,502,800,397,800,649,71,800,501,800,501,500,327,503,502,649,501,800,500,178,800,501,800,500,282,649,800,500,649,501,501,501,501,16,800,649,800,501,800,501,662,503,501,502,974,503,111,501,282,503,503,800,503,503,649,282,16,500,800,501,503,103,501,276,800,649,649,502,501,502,503,282,649,649,282,502,964,503,649,800,649,649,800,800,503,282,16,282,502,513,649,800,501,501,800,649,282,503,282,208,504,500,800,501,282,649,457,502,649,20,800,501,501,500,501,974,282,503,502,502,115,649,293,282,282,501,16,282,504,649,762,649,649,500,502,502,502,500,649,888,501,501,800,649,800,503,649,500,800,503,500,66,282,501,800,649,502,74,501,500,800,500,649,800,649,502,16,246,501,649,674,800,500,649,501,282,503,282,282,504,282,353,649,649,649,501,649,282,502,501,502,124,500,800,502,502,494,649,503,800,503,502,649,649,501,500,800,16,501,578,282,500,800,502,649,282,649,502,502,294,503,503,503,500,16,501,800,503,501,503,649,503,800,649,500,503,500,649,745,16,500,501,800,800,649,800,282,807,501,800,282,502,502,501,800,649,502,501,649,16,282,500,503,500,282,649,501,800,693,503,649,457,107,800,500,501,502,501,501,501,649,500,500,501,502,282,501,800,665,500,64,800,800,800,800,649,504,800,800,501,282,501,503,501,800,503,500,501,649,649,649,282,503,649,800,800,800,501,800,501,501,500,503,503,282,502,282,501,503,800,500,502,502,502,800,501,649,502,247,529,800,649,800,271,502,649,649,502,500,838,500,16,800,500,500,282,503,500,503,503,282,502,800,649,800,649,649,503,649,502,282,107,139,502,502,282,500,501,934,502,21,501,649,800,501,98,501,502,500,282,649,503,800,501,649,16,501,501,503,513,804,800,282,16,501,500,501,282,804,503,282,35,500,649,800,501,500,501,282,649,44,501,649,503,502,503,502,503,800,501,649,500,282,807,501,133,349,500,503,504,500,502,500,500,649,649,500,649,103,500,649,502,500,544,800,500,503,649,649,502,502,200,503,282,500,16,813,649,500,500,800,501,649,501,649,627,500,500,163,244,800,501,503,503,649,503,282,282,501,649,401,649,503,911,947,547,502,501,282,800,501,503,500,649,142,503,502,649,500,800,649,130,16,800,500,502,649,502,649,800,500,502,501,502,501,16,501,800,282,502,386,649,800,800,503,500,649,501,503,502,503,282,504,503,503,800,501,800,503,500,800,500,503,500,500,649,502,800,649,500,649,800,209,273,800,649,800,500,649,501,502,503,502,503,282,12,500,501,500,500,800,16,504,800,500,649,502,800,800,649,502,800,800,800,501,503,503,503,502,503,501,649,16,649,800,800,800,406,500,500,701,16,800,649,501,502,503,649,705,282,503,500,800,500,107,501,851,16,500,177,649,705,649,503,800,649,649,800,69,501,502,649,500,501,16,502,638,500,800,500,503,500,649,500,502,502,501,16,800,500,500,503,501,501,500,282,800,710,800,16,649,800,503,800,282,501,503,649,800,501,282,16,502,649,190,800,800,649,268,503,800,800,502,501,503,502,501,282,949,500,531,282,16,800,503,649,502,504,282,16,501,282,465,501,503,503,500,649,107,649,500,185,800,501,800,16,503,502,125,183,503,503,919,807,503,500,500,503,800,500,282,649,503,649,500,282,200,503,649,16,502,503,500,800,282,503,282,800,502,649,501,500,800,800,502,800,503,800,501,414,501,503,526,282,649,500,501,251,590,592,500,282,649,649,500,503,649,503,649,800,673,503,503,16,649,16,503,501,502,649,502,500,649,98,649,303,282,501,800,501,807,800,502,94,399,501,503,800,503,503,503,500,502,501,800,500,486,503,504,503,500,649,502,800,500,649,503,503,500,501,800,502,649,800,500,502,649,282,501,649,502,649,502,103,649,500,502,838,94,502,504,502,649,282,649,500,502,503,649,800,500,500,502,649,504,649,501,501,500,800,503,800,649,986,649,500,800,503,502,501,502,282,501,649,16,502,606,504,502,500,649,503,501,500,282,502,800,649,649,800,501,500,199,800,282,990,500,649,737,500,503,500,649,282,146,800,499,282,282,987,649,598,500,870,501,501,920,503,800,500,503,800,826,282,501,282,208,500,501,502,800,503,499,503,501,501,503,503,501,502,502,979,649,649,502,649,560,500,500,670,500,504,502,649,503,800,500,501,501,503,487,500,800,501,500,268,16,500,501,800,502,503,501,503,800,500,759,649,501,501,800,800,942,500,503,503,501,502,503,649,500,16,500,103,800,800,503,500,282,503,500,501,282,374,800,649,649,431,163,501,500,800,649,649,500,107,504,503,502,800,800,326,504,282,503,500,608,502,282,501,503,503,502,503,504,500,489,501,800,282,502,501,800,282,502,649,634,501,503,80,500,528,800,2,800,501,949,750,649,503,282,501,963,502,502,16,502,502,502,500,501,649,100,501,800,501,800,800,502,130,800,501,442,503,502,800,501,719,800,503,504,503,502,656,501,282,649,503,503,919,649,500,800,794,282,688,592,500,503,409,501,501,503,871,800,800,503,321,502,649,501,800,502,435,500,503,502,800,259,649,836,502,503,500,649,501,503,500,649,502,502,984,502,502,501,502,282,503,649,282,800,500,649,502,800,500,934,16,501,800,501,800,502,16,282,649,800,500,800,880,800,501,282,800,500,502,502,501,282,500,501,16,16,502,501,800,16,16,501,500,282,282,158,16,503,920,502,134,501,649,502,788,620,282,649,713,501,504,649,500,602,401,501,800,594,502,649,800,503,502,500,800,282,916,503,502,649,282,501,503,500,649,502,502,649,503,266,500,502,649,103,503,502,649,282,503,16,501,502,800,815,510,558,500,16,501,31,503,800,502,103,500,503,502,30,805,500,500,47,649,501,501,502,501,501,800,800,103,16,500,501,503,501,501,502,500,401,503,503,208,502,282,649,502,282,649,502,502,501,764,501,800,429,503,649,500,800,501,649,800,502,502,500,502,800,800,500,501,501,800,343,502,649,800,649,649,800,500,500,800,503,500,282,503,800,502,649,914,313,349,503,800,649,501,503,501,590,500,501,649,182,500,502,502,500,224,502,679,500,109,502,501,616,501,800,502,282,504,500,500,500,502,500,800,502,501,502,501,680,282,502,994,503,501,502,184,500,282,421,649,282,800,502,500,23,719,501,500,500,800,502,503,503,502,502,501,501,503,800,502,502,500,502,500,800,649,501,500,800,800,800,649,503,501,503,649,733,501,649,502,501,503,501,649,503,800,502,503,800,16,500,800,500,282,649,501,503,500,388,502,503,503,424,501,800,500,800,504,800,800,799,503,500,502,502,649,649,502,919,649,282,504,500,282,501,800,503,504,501,383,800,503,503,501,502,501,502,800,501,649,649,501,501,529,103,282,500,649,502,761,998,800,503,800,501,103,649,503,847,500,500,502,502,503,282,527,800,649,501,501,501,502,282,500,502,790,500,800,800,501,16,588,501,800,503,316,9,503,16,503,500,502,800,649,503,649,800,286,503,800,500,503,501,500,503,501,800,282,282,500,282,865,460,800,503,502,500,800,504,789,217,500,503,282,282,502,500,800,502,502,502,503,502,503,800,504,500,800,800,501,649,800,409,800,282,500,800,501,501,18,16,503,93,501,649,501,716,282,503,754,502,649,93,62,503,800,500,502,500,503,502,502,502,16,502,503,502,860,800,800,649,800,500,649,500,16,282,649,759,501,282,501,203,800,649,502,800,649,16,75,502,501,502,502,500,231,503,649,281,649,800,910,649,503,73,267,501,502,649,800,649,502,502,504,501,107,649,800,649,500,394,649,916,649,502,800,563,501,500,501,503,886,649,107,500,501,501,504,500,501,649,501,503,503,330,502,500,16,649,649,633,500,649,502,503,800,800,649,500,800,501,972,680,500,566,800,800,811,988,746,502,282,503,649,502,502,501,500,500,813,649,500,503,681,501,500,649,649,502,502,501,503,649,931,503,649,800,800,649,500,16,523,649,502,501,501,503,282,800,501,502,502,386,649,649,504,500,502,501,501,504,503,800,502,501,500,282,800,500,500,282,282,501,502,503,618,151,503,282,632,503,501,649,649,649,500,503,503,649,282,502,503,501,800,649,502,282,501,501,649,502,502,502,16,807,107,107,649,500,800,500,800,500,308,502,500,501,649,500,649,732,446,800,784,502,500,503,649,503,16,501,502,501,502,68,502,800,800,800,501,501,800,800,385,649,800,504,503,391,282,282,503,800,501,107,16,649,873,800,649,501,502,16,16,800,503,502,503,502,282,500,468,649,282,615,800,800,649,502,800,257,800,800,503,800,502,132,649,800,500,503,571,649,501,826,500,502,503,649,502,649,504,502,503,503,16,242,649,16,800,502,800,501,649,649,742,282,17,501,501,800,649,500,501,649,503,502,338,800,504,800,502,649,503,501,800,649,500,684,649,649,501,502,800,800,649,800,501,502,503,501,501,16,649,103,501,502,649,16,800,16,503,502,501,649,501,181,69,649,503,504,16,800,649,503,502,503,501,502,502,501,649,649,504,501,630,501,503,500,231,503,500,503,504,502,800,503,649,503,502,502,103,501,112,800,502,800,500,500,501,800,900,800,649,649,649,800,649,800,501,521,501,502,800,800,503,800,502,502,800,503,501,16,503,500,800,501,501,649,500,501,500,502,500,500,772,649,500,501,503,800,282,675,503,502,502,503,502,502,502,502,800,501,502,800,503,16,705,500,345,282,504,501,649,282,649,503,800,503,503,500,904,800,800,547,504,503,800,503,501,501,649,649,503,501,16,501,649,503,503,807,503,501,501,500,649,500,501,503,800,800,501,500,649,282,501,502,800,504,501,502,504,500,502,575,16,437,649,502,181,503,501,649,800,16,503,504,502,649,923,503,282,547,501,282,282,503,103,649,649,800,503,107,503,15,282,649,772,282,922,800,649,800,501,500,502,800,500,503,501,503,716,503,502,800,649,282,282,502,800,501,500,800,598,186,746,899,536,509,503,502,503,502,500,502,501,502,649,365,503,937,502,107,503,501,500,649,799,800,502,800,502,649,649,502,800,501,923,282,502,501,503,500,501,331,16,649,502,501,649,623,501,502,500,503,502,510,500,282,282,501,800,800,282,649,649,500,800,503,500,503,503,500,504,800,282,179,800,501,502,501,800,500,649,800,500,501,501,282,502,502,501,501,282,649,282,282,503,282,282,501,800,500,502,501,517,500,403,701,503,615,649,501,282,501,282,500,500,500,649,480,501,800,502,502,649,502,282,501,800,501,649,800,501,800,503,800,649,800,359,501,504,649,503,800,503,649,282,16,649,649,649,500,500,800,500,500,649,16,800,750,502,649,502,927,503,649,649,501,282,503,501,502,501,502,501,851,503,332,230,504,16,294,800,500,103,501,608,503,800,649,649,649,649,649,649,195,800,502,637,800,502,502,502,503,503,107,502,968,502,338,502,649,800,800,503,800,649,502,16,504,800,500,503,774,501,576,649,500,502,500,503,606,501,800,500,502,326,649,501,16,800,500,16,282,500,107,502,711,649,752,503,649,800,501,800,503,647,549,800,107,800,649,338,649,800,501,503,502,503,649,649,503,641,800,501,501,500,649,800,500,501,501,501,503,649,649,649,649,195,502,500,503,282,649,649,503,500,642,649,817,500,500,800,503,500,503,800,500,282,502,649,802,500,503,649,800,501,504,502,502,501,503,582,502,800,649,282,800,502,373,649,502,800,521,16,649,501,502,800,503,503,500,649,649,649,282,501,214,503,16,500,501,800,110,500,500,81,300,649,800,16,282,503,691,16,502,800,800,500,503,559,16,37,800,282,107,503,282,500,16,800,501,649,282,800,500,282,159,800,282,502,502,800,282,282,800,501,504,155,336,501,501,649,502,500,878,649,282,502,500,282,800,800,503,502,502,649,649,501,800,500,502,282,282,649,107,502,502,16,723,500,502,502,501,282,500,800,501,282,282,478,501,502,800,16,504,503,504,503,500,501,649,282,106,16,502,503,800,503,649,317,503,502,502,398,500,500,501,800,977,282,649,16,503,649,503,500,282,649,649,501,800,807,502,800,576,502,502,500,501,591,502,502,501,502,282,500,502,503,649,500,462,16,502,65,502,504,502,501,655,800,500,649,800,502,800,282,502,649,800,282,528,500,502,827,800,502,649,649,580,128,103,500,16,800,800,500,800,800,500,502,502,282,16,503,649,649,800,282,501,502,501,503,282,504,501,502,16,371,500,35,501,501,501,107,501,649,502,501,502,500,169,502,800,503,503,503,282,500,800,649,800,501,502,502,501,504,502,500,501,500,503,800,500,501,800,502,649,502,800,502,386,638,800,500,503,282,282,538,503,65,500,800,800,501,649,503,503,502,800,649,501,502,800,500,800,282,16,587,502,452,501,649,800,861,16,282,107,500,800,16,500,503,502,503,501,649,503,649,800,500,282,282,107,502,500,501,649,282,800,107,503,649,503,800,500,649,503,649,800,16,800,501,800,649,16,282,501,800,800,500,361,501,282,649,282,502,501,503,503,502,800,502,504,502,800,649,502,502,503,127,481,800,800,282,502,107,282,503,502,503,296,59,503,282,501,16,811,500,649,649,503,501,282,502,282,282,501,503,502,502,16,501,800,502,502,649,922,282,500,800,500,500,800,649,500,800,649,16,800,502,501,800,800,800,500,800,649,501,800,503,649,503,649,16,501,502,501,677,501,501,649,500,609,557,800,501,282,649,282,502,282,649,501,632,502,501,501,469,502,502,500,502,800,503,800,649,344,800,800,503,501,649,556,502,60,800,501,649,500,401,502,502,800,300,649,800,282,503,500,649,649,503,333,800,502,500,649,502,501,503,502,800,503,282,500,107,941,501,282,502,500,502,502,649,649,503,16,503,502,501,500,182,503,500,937,501,649,314,649,494,500,502,503,994,649,503,501,800,649,443,500,16,649,800,800,800,503,501,20,500,502,502,502,500,503,503,503,503,503,502,502,379,922,649,308,688,501,282,503,502,382,253,878,800,500,500,500,501,282,640,502,16,649,775,502,503,503,503,649,42,5,504,405,800,503,500,282,800,503,503,502,500,282,161,800,649,282,647,503,648,651,500,502,503,282,502,503,500,500,972,500,503,821,502,501,649,500,800,502,500,393,502,107,503,103,501,501,322,502,107,501,501,800,338,800,282,500,16,503,503,503,282,649,502,500,800,644,649,504,924,502,500,503,503,649,626,649,800,649,502,503,502,581,503,501,800,800,649,991,372,800,500,800,800,503,800,503,502,366,800,760,502,500,800,500,503,858,622,503,502,649,501,503,800,500,503,504,265,503,800,107,800,502,649,649,503,502,800,502,649,503,503,502,500,500,16,800,649,751,548,501,241,503,649,501,800,501,503,649,282,832,503,800,503,503,502,500,503,501,500,502,503,649,502,649,282,501,649,282,501,500,503,282,649,501,282,503,502,500,649,502,500,649,501,649,282,503,649,500,503,502,649,649,500,502,502,630,503,500,309,501,649,745,502,501,282,501,282,649,503,500,503,244,503,870,649,503,502,501,260,502,500,502,500,502,282,649,282,500,502,107,504,501,649,501,501,800,16,501,500,649,501,503,500,502,282,501,558,649,800,502,501,649,649,501,501,282,410,898,43,503,502,501,282,503,504,282,502,501,649,502,502,853,705,649,503,649,800,282,504,649,503,502,649,800,547,800,649,503,502,502,502,800,649,649,282,649,502,487,500,656,502,500,501,501,767,282,800,800,107,536,502,502,282,649,959,503,503,503,502,800,649,503,501,282,800,956,282,500,502,503,800,638,800,595,649,800,649,502,500,503,503,782,503,501,503,501,800,800,16,503,105,114,649,502,282,500,501,502,800,502,504,501,501,649,649,504,504,503,503,503,649,800,198,502,412,503,800,500,800,503,282,800,800,502,649,501,501,504,502,649,503,500,16,16,502,800,500,527,501,282,503,649,501,502,501,857,502,649,503,503,282,800,500,500,649,16,500,282,502,649,814,501,16,282,800,282,649,502,800,649,504,800,94,501,501,858,16,500,937,649,16,501,649,501,501,649,282,800,649,800,16,501,503,36,502,501,502,189,649,503,500,282,504,800,800,800,501,501,282,649,16,500,501,502,163,500,800,503,282,501,501,649,649,649,503,502,800,889,282,800,502,16,649,228,500,800,293,224,503,502,502,956,502,503,501,501,649,501,800,282,800,503,500,800,502,282,500,800,502,500,500,800,800,503,503,649,16,37,107,500,501,649,501,502,566,282,501,282,282,800,282,502,501,500,502,501,500,16,501,800,503,16,649,501,649,502,800,155,800,501,649,649,502,501,282,501,411,302,500,501,282,800,502,246,500,800,282,501,500,501,282,312,500,500,503,649,833,503,866,503,282,264,282,502,649,503,649,503,503,649,502,503,500,649,501,282,800,282,649,501,800,688,502,501,649,503,649,502,503,500,501,501,502,502,501,501,503,500,502,501,503,800,649,501,500,800,501,649,233,800,504,282,649,800,736,502,16,615,649,800,503,649,500,325,503,500,94,500,800,372,649,800,433,502,503,501,501,500,649,299,800,500,501,569,502,800,501,500,282,502,502,295,16,649,500,800,282,500,649,502,649,800,502,502,649,503,500,501,501,500,501,800,503,502,282,282,503,649,503,827,503,327,800,649,282,502,282,502,503,649,649,503,282,501,16,471,282,503,503,501,501,43,282,800,501,500,501,649,503,496,503,800,16,501,649,491,502,502,500,504,16,649,800,500,807,503,800,500,500,500,800,791,503,503,16,501,233,800,500,500,800,107,503,251,800,594,502,649,500,503,562,503,649,501,500,800,503,490,500,871,800,500,503,569,500,16,500,500,282,649,800,800,502,72,800,828,500,500,500,502,500,686,501,107,500,649,502,800,502,649,320,800,649,501,503,800,502,16,503,282,502,501,649,503,649,500,800,282,500,20,649,282,496,503,503,502,502,79,500,500,501,282,545,649,282,102,649,282,800,501,501,649,500,502,282,518,800,800,16,800,501,500,500,502,500,503,649,500,500,800,501,500,800,500,800,800,282,800,800,929,282,503,502,964,985,501,800,932,501,501,501,501,282,365,839,800,500,500,800,800,694,230,500,503,649,500,649,501,500,649,502,501,282,800,500,500,649,503,503,800,649,589,423,502,800,47,502,501,503,800,500,500,501,649,386,500,503,502,800,800,504,16,800,16,500,503,501,649,500,502,500,649,500,500,107,500,501,501,503,649,502,502,500,649,800,140,800,502,501,282,500,501,549,800,666,502,501,937,725,800,649,502,751,483,282,748,501,282,503,503,501,800,282,649,800,800,800,500,239,504,502,967,501,477,282,800,282,503,800,800,560,282,649,16,501,800,800,127,501,501,800,800,800,107,502,503,649,16,502,911,46,800,989,502,502,800,503,649,502,649,502,503,800,503,282,501,982,500,786,501,501,282,16,528,500,282,502,649,501,502,501,649,179,649,501,502,503,282,649,16,732,453,501,800,503,502,800,649,503,503,282,502,800,433,649,501,649,500,815,649,503,503,77,107,501,503,502,977,649,501,800,649,502,800,282,504,800,504,500,503,503,500,500,500,649,742,649,502,891,442,500,503,800,503,800,504,678,349,503,800,501,649,502,501,649,800,500,501,502,500,502,502,516,501,800,16,382,504,501,776,383,500,118,902,610,282,800,502,501,800,800,500,502,501,282,800,503,649,500,649,162,503,103,800,503,296,502,800,448,970,800,500,863,500,502,800,440,282,502,537,16,282,740,383,502,649,981,501,123,800,503,502,500,501,649,501,501,586,800,2,502,503,16,800,788,500,282,282,800,503,501,502,605,308,800,481,503,503,649,502,500,503,649,800,649,800,500,34,500,800,649,282,500,174,502,649,170,649,103,502,561,282,503,800,649,107,503,501,501,693,501,502,500,503,282,930,800,649,649,649,803,800,503,501,503,107,501,800,500,501,501,800,500,800,500,800,649,800,502,434,905,501,458,501,282,503,649,282,229,503,502,649,500,503,126,503,501,502,569,649,502,16,578,790,649,500,502,501,502,691,800,146,503,500,502,501,364,649,649,649,502,800,500,103,16,504,502,800,649,16,800,103,500,649,800,800,800,800,649,500,800,649,500,124,652,503,668,501,16,649,16,503,153,649,500,298,501,330,282,901,502,282,501,500,761,591,684,649,282,503,282,502,501,649,502,282,800,503,503,501,503,501,10,649,16,16,800,502,800,282,502,500,282,732,504,503,500,503,504,502,649,500,502,800,732,800,800,16,143,800,649,501,501,649,500,501,800,800,502,705,501,502,107,494,502,285,500,503,501,500,502,502,226,501,502,800,548,502,500,503,356,504,502,481,500,649,503,500,503,503,649,503,649,502,282,503,800,501,649,915,504,503,800,500,500,501,800,502,503,800,501,491,333,500,649,800,501,500,503,501,649,500,649,501,514,502,500,504,502,503,500,501,16,502,649,503,503,303,503,501,69,800,221,649,500,111,282,503,501,536,503,500,204,649,447,487,649,796,649,649,502,502,800,282,501,8,502,501,502,649,502,282,282,625,800,649,800,316,649,282,967,800,800,115,819,51,502,449,501,282,800,502,501,129,649,800,501,800,649,503,502,501,501,500,501,649,503,502,525,503,624,557,282,501,500,649,800,800,800,669,800,84,503,649,649,923,502,502,649,503,500,500,500,800,503,282,500,502,282,501,760,649,649,504,190,282,502,800,887,501,800,16,800,500,16,500,649,501,800,16,16,807,918,501,649,800,502,503,649,649,500,282,503,503,85,282,502,282,503,705,503,502,282,800,800,502,503,326,504,504,649,282,500,503,502,503,502,16,649,502,501,500,502,362,500,800,800,503,172,282,500,500,502,649,500,503,800,649,649,502,800,885,503,501,800,500,282,501,503,649,503,502,800,128,500,503,800,503,503,649,800,503,649,666,649,503,695,503,282,500,339,501,800,649,86,282,504,503,430,500,501,543,800,501,502,649,800,500,800,209,800,500,501,649,282,503,282,16,567,503,500,503,107,16,16,940,501,479,500,500,282,800,500,649,649,500,800,503,800,502,107,501,502,503,440,800,500,282,501,501,800,649,282,500,500,282,282,928,500,501,649,800,503,506,800,649,800,436,500,16,503,103,500,649,500,500,449,500,502,16,502,503,501,725,502,502,548,282,147,504,503,649,282,500,500,282,282,500,501,800,502,501,500,504,471,800,800,800,986,501,501,282,500,504,502,500,503,282,649,501,282,800,982,503,282,649,285,786,800,502,649,807,502,502,502,500,282,501,219,501,502,649,501,16,503,502,500,649,500,502,649,224,467,500,501,503,500,503,103,787,501,501,627,649,800,503,500,501,502,649,501,820,404,500,649,800,649,649,16,501,500,501,649,503,16,282,356,72,800,649,501,701,649,16,774,501,626,29,501,503,282,282,649,765,501,500,463,800,501,502,500,501,800,649,503,502,503,503,502,502,502,502,601,943,503,162,500,649,649,501,503,282,500,503,501,987,800,503,503,503,502,16,25,800,500,508,643,649,800,503,16,502,103,800,502,649,503,649,501,282,107,649,800,800,649,487,503,501,800,503,503,500,500,502,649,16,503,500,800,502,800,500,649,800,588,503,502,649,502,649,84,649,800,649,800,16,800,500,289,502,123,500,78,800,500,649,379,649,649,371,520,502,800,665,483,532,503,501,800,311,16,501,504,800,649,503,807,608,501,500,500,649,649,800,501,649,503,501,503,123,556,350,500,69,800,504,501,800,16,503,503,500,649,282,714,282,502,500,500,282,800,649,501,649,649,501,615,501,502,501,649,501,282,107,649,649,16,282,649,503,501,502,502,651,501,503,500,504,800,500,503,501,502,501,500,800,649,800,742,503,503,503,282,112,500,500,501,503,282,974,955,501,500,800,503,77,502,912,501,500,649,649,503,503,800,502,503,500,282,800,800,800,800,501,282,282,502,503,502,649,501,649,442,800,500,504,649,501,800,752,503,16,282,649,282,282,503,503,282,107,501,932,282,935,500,288,500,282,501,282,19,500,501,501,501,800,800,800,504,500,282,800,530,501,433,36,502,800,800,649,800,502,502,501,800,500,501,349,504,503,500,205,869,500,800,502,800,451,502,649,503,800,500,500,502,503,501,503,501,841,503,502,503,282,501,503,800,500,800,501,955,282,282,502,502,58,800,501,282,800,282,500,800,800,501,502,502,503,107,502,500,502,282,824,500,800,282,502,282,577,503,392,502,502,802,282,649,500,800,500,502,501,649,502,500,501,501,502,500,503,503,500,501,800,649,500,501,649,800,540,282,501,500,775,503,504,503,503,503,502,76,984,500,649,503,282,800,501,649,16,503,107,282,282,244,501,293,503,501,503,282,502,500,70,504,649,500,649,800,503,800,872,719,649,500,500,282,282,502,649,649,649,500,501,795,502,503,413,800,500,800,503,800,500,503,503,236,501,649,502,649,504,501,649,503,501,282,649,282,649,800,103,502,649,282,527,900,501,800,502,282,501,800,502,649,501,504,800,649,405,282,649,800,649,500,502,503,501,649,502,649,502,503,107,500,500,282,501,503,16,502,503,93,16,800,800,649,552,649,503,142,501,619,800,502,501,282,501,503,501,800,500,501,800,649,501,107,502,16,721,500,500,501,502,503,501,502,503,500,503,800,2,502,502,501,500,502,800,649,807,502,649,649,270,603,502,504,501,501,501,649,502,503,649,649,649,503,500,500,503,800,771,502,649,501,223,649,502,282,235,16,503,16,503,16,800,501,282,503,649,653,502,500,800,649,500,282,16,16,503,282,411,649,800,649,502,837,649,503,503,282,800,503,502,16,501,502,502,800,500,800,832,282,649,800,482,502,502,636,501,501,503,103,502,502,500,649,502,800,502,800,649,643,501,649,501,502,89,500,503,502,649,16,501,503,282,501,502,502,649,649,335,502,503,16,501,500,500,649,501,503,910,800,800,800,503,282,500,502,800,502,613,500,649,282,500,503,500,901,282,504,502,352,649,502,800,500,800,800,502,502,503,500,216,500,503,501,800,800,501,282,800,649,282,503,500,502,503,649,501,649,16,503,500,282,282,282,502,649,500,100,649,800,502,325,503,649,501,649,649,503,649,649,503,649,502,325,500,503,800,500,672,478,500,502,501,800,501,649,800,800,500,504,504,503,503,501,800,649,800,502,501,686,649,501,501,501,502,500,501,649,649,800,649,800,800,282,503,198,272,500,220,500,501,800,502,649,500,502,16,800,504,800,500,272,502,282,503,800,649,800,930,800,356,501,501,501,705,649,110,501,500,369,503,282,800,500,500,501,830,800,503,503,502,800,107,500,800,103,500,16,503,502,500,501,503,523,500,501,649,649,502,501,504,800,502,503,503,500,502,503,107,503,501,312,649,800,502,504,500,501,501,500,500,800,282,500,282,800,963,502,501,500,877,282,16,282,503,52,649,503,500,649,800,500,502,649,500,800,503,800,501,152,502,235,503,16,640,860,500,796,500,800,500,800,503,761,611,503,908,502,282,501,502,282,504,501,666,649,503,16,502,649,501,502,16,649,800,829,800,502,282,459,500,500,800,959,282,800,500,79,501,501,500,500,502,16,501,282,503,500,649,649,500,282,565,649,500,649,501,800,501,43,107,502,649,366,649,503,649,504,228,501,502,649,649,649,503,800,504,503,118,501,504,500,501,504,501,502,649,500,503,649,502,800,501,501,500,649,952,314,282,448,107,16,500,693,501,649,500,500,16,800,800,649,503,800,504,500,500,151,800,800,501,698,504,503,122,649,503,503,500,11,282,649,800,649,807,649,501,500,503,502,647,282,282,649,500,500,435,501,589,503,500,502,545,503,282,503,501,269,500,501,503,282,502,649,800,502,501,282,649,501,800,500,649,975,501,503,503,649,649,800,649,16,282,172,703,502,500,16,501,501,501,68,503,237,308,502,501,282,649,500,501,796,649,503,649,237,503,282,282,16,502,502,649,502,500,502,649,500,502,107,501,649,502,800,501,345,503,503,502,16,878,502,500,16,503,504,503,500,88,501,501,503,504,9,800,502,649,107,715,800,503,16,649,500,649,500,500,649,16,503,800,73,503,200,501,649,5,503,800,800,504,503,800,503,16,500,781,800,503,503,649,282,501,649,424,800,500,502,504,800,503,728,500,800,800,501,500,16,502,800,501,502,502,589,800,282,107,503,502,502,502,500,282,502,500,649,502,800,800,500,501,502,500,502,501,800,503,503,501,650,502,501,282,800,503,502,502,502,554,503,649,649,16,153,800,858,503,740,500,502,649,503,503,500,16,950,107,800,282,649,170,163,503,800,500,503,500,282,282,503,269,500,16,503,502,502,502,500,649,503,502,503,653,800,502,282,850,500,23,502,899,188,503,649,503,501,748,282,502,120,401,500,502,503,800,649,800,503,324,503,800,503,649,503,282,16,649,500,282,500,800,504,549,502,501,26,503,16,500,800,500,649,800,501,800,502,502,502,501,502,243,502,649,504,501,502,501,501,800,504,503,503,502,502,649,107,500,649,502,501,83,800,649,649,705,800,649,500,16,649,400,503,501,555,502,502,800,500,502,16,504,649,172,502,282,800,500,524,334,501,649,677,649,500,800,503,649,501,500,503,649,503,503,503,800,503,500,800,503,502,649,502,504,578,503,649,500,500,503,503,500,800,800,800,502,800,912,16,282,95,501,501,800,282,501,503,503,231,503,504,584,502,502,500,500,501,501,501,649,503,800,649,500,53,234,675,822,282,500,649,502,905,800,649,502,503,800,500,502,16,503,502,697,649,800,502,602,500,501,501,800,800,800,501,501,502,500,500,500,503,503,765,503,800,500,800,658,969,16,265,16,501,503,800,501,502,502,342,282,503,500,649,503,16,502,501,16,500,800,800,502,500,500,800,500,649,547,502,407,649,282,649,282,502,649,502,501,500,800,503,502,800,500,800,800,107,500,501,81,502,705,500,649,500,648,503,503,502,500,502,177,503,609,800,502,800,501,503,500,649,500,503,502,800,502,503,570,503,504,282,800,800,800,282,705,500,282,649,502,503,502,649,502,282,800,477,973,503,502,649,501,502,500,502,649,500,503,500,282,800,800,800,800,800,800,503,800,501,503,503,800,502,649,500,503,800,503,16,501,800,500,800,16,752,501,649,501,649,502,502,503,500,503,800,502,501,800,500,500,649,500,649,800,501,501,501,282,503,502,800,705,501,502,503,800,500,649,501,501,502,500,649,502,501,595,502,107,500,502,649,800,649,500,145,501,503,800,800,500,500,800,502,502,502,502,272,500,501,800,502,500,500,502,502,319,500,16,503,501,501,500,764,649,501,502,800,501,282,800,540,503,556,16,649,649,501,500,107,649,501,502,501,649,16,839,800,800,502,649,282,282,586,500,876,502,500,502,800,649,800,724,800,282,800,502,501,434,536,202,500,800,502,368,501,501,500,800,649,504,649,800,502,501,649,800,500,800,501,502,500,800,500,800,502,501,500,16,800,500,705,501,16,146,503,282,500,622,500,834,282,800,503,800,568,500,800,649,649,800,502,800,282,282,103,502,649,282,800,503,649,502,800,800,503,282,16,928,500,500,503,649,503,649,473,800,500,501,500,501,861,500,503,500,503,501,503,649,502,800,500,502,649,502,500,500,306,893,503,282,502,649,501,282,16,504,501,504,500,503,500,502,501,107,502,500,503,106,800,16,502,19,686,501,502,500,500,800,649,800,502,853,502,649,502,501,501,800,500,81,501,500,502,503,500,501,502,501,807,616,501,800,500,854,702,800,503,800,800,649,800,501,800,500,800,926,500,501,800,500,502,503,500,501,800,649,503,503,500,502,500,649,649,502,506,649,159,503,649,800,714,503,500,500,649,649,577,503,649,649,800,500,629,500,800,502,649,500,502,504,502,502,500,500,500,717,502,500,800,800,800,501,502,649,501,503,501,16,16,501,800,800,500,649,723,502,500,282,800,502,649,16,649,501,649,501,649,860,938,502,340,282,502,800,282,282,518,282,815,502,649,500,649,503,402,649,800,500,501,336,500,502,282,502,649,323,502,502,282,500,649,501,282,800,649,649,282,649,649,500,257,501,800,501,503,502,500,649,282,472,649,282,800,500,800,800,649,503,503,502,296,503,107,502,504,282,501,503,649,500,16,501,800,800,800,954,800,800,282,100,501,501,502,502,501,282,800,503,500,500,501,649,501,502,74,649,945,103,504,504,282,800,649,344,501,954,500,797,501,649,503,649,649,500,52,503,501,501,502,502,502,501,800,501,60,744,282,501,501,500,503,800,502,501,502,254,928,355,503,503,634,500,16,649,503,282,500,800,504,800,500,298,941,503,649,503,503,969,16,403,500,800,501,500,503,649,282,282,503,653,282,649,500,503,503,503,800,103,500,649,500,282,630,503,500,500,504,148,274,501,500,800,649,649,500,502,503,16,501,211,919,503,504,501,271,503,800,649,649,503,503,503,710,585,649,801,800,503,502,501,649,776,502,500,800,500,502,16,357,906,501,649,282,800,800,501,501,503,503,26,500,649,918,600,503,76,501,502,500,502,501,532,282,278,282,649,503,800,800,503,501,503,500,500,502,501,800,503,665,500,800,282,649,705,282,502,800,503,500,800,649,282,800,503,501,501,501,502,649,501,282,649,502,649,503,852,649,16,502,501,800,800,503,504,800,502,500,435,649,649,16,449,800,649,416,503,649,501,501,502,500,282,503,649,500,800,649,502,502,649,800,500,501,503,500,503,100,502,500,937,502,501,500,503,649,502,282,906,800,501,800,501,502,501,500,502,303,282,282,500,501,107,800,502,503,800,649,502,503,501,807,649,503,501,504,649,649,181,500,503,649,649,800,649,501,501,800,502,501,501,800,873,800,787,282,651,502,649,800,161,826,852,502,500,500,800,800,503,800,282,502,567,649,501,500,303,649,185,503,502,649,692,502,502,500,16,501,500,103,107,500,503,930,649,500,800,649,282,500,800,800,501,885,503,649,501,107,69,800,500,500,501,503,800,800,800,800,501,503,500,799,503,502,503,466,503,365,501,649,821,500,502,501,500,503,861,502,16,503,500,16,282,500,504,502,501,800,959,649,54,503,504,501,800,16,649,502,503,501,800,503,503,500,649,501,503,500,649,502,800,800,502,501,649,501,502,800,502,800,500,501,501,500,16,800,501,502,800,503,502,501,503,282,649,503,503,501,503,500,500,501,504,500,502,501,501,502,282,649,502,649,502,649,503,503,501,501,502,649,649,800,649,503,502,501,502,502,503,825,502,800,502,649,502,800,200,800,501,282,290,988,649,649,800,649,649,501,54,206,800,501,282,800,739,502,800,794,503,800,502,503,800,800,500,2,282,500,800,500,800,649,177,282,502,502,800,800,502,500,966,649,503,502,649,500,800,103,800,800,500,502,502,649,800,503,103,501,800,500,501,282,500,259,852,501,502,668,16,335,501,501,503,500,503,282,503,514,365,501,209,649,503,649,502,649,649,800,816,649,649,282,800,800,502,502,502,500,501,501,445,502,649,800,501,503,501,282,800,800,501,800,649,501,501,501,649,501,503,501,800,503,501,682,649,502,502,282,871,501,107,800,503,501,234,319,649,500,800,503,800,500,503,503,649,282,500,502,800,501,974,502,500,800,502,800,500,502,282,800,823,649,502,649,502,282,16,503,800,502,501,800,649,38,504,501,501,501,502,649,502,501,501,649,139,937,649,503,807,501,501,282,649,501,800,502,500,501,282,501,282,503,501,800,282,800,77,501,649,22,500,500,800,800,16,502,503,502,800,649,500,503,103,503,282,500,501,501,649,503,503,501,282,282,500,501,500,417,649,503,800,500,501,500,500,500,504,503,502,502,282,502,649,501,502,503,500,282,502,500,503,282,649,649,800,500,999,501,16,504,500,800,500,218,800,649,500,282,501,503,800,503,78,503,800,503,800,649,800,502,649,941,16,282,501,502,501,800,500,649,501,503,503,800,501,500,502,649,502,570,503,500,199,501,800,500,500,502,927,503,501,502,16,501,16,649,502,16,502,500,501,649,500,500,500,503,103,927,500,500,502,800,502,800,503,282,502,501,500,12,222,503,649,503,913,503,503,282,450,503,649,501,502,501,501,800,500,649,16,800,282,16,500,800,649,800,247,800,500,501,220,501,502,501,800,649,502,282,555,503,282,501,503,88,282,504,503,970,500,282,526,500,649,502,502,647,881,501,502,502,501,500,582,800,501,800,705,428,414,16,100,500,503,800,501,500,501,502,282,649,800,503,649,282,503,500,502,800,800,649,501,501,503,500,502,503,504,500,16,255,501,500,501,503,503,649,1000,282,282,502,500,16,649,504,107,649,503,502,503,649,501,502,500,500,282,649,649,800,722,500,800,501,501,282,500,503,649,258,840,282,800,282,282,271,503,500,800,501,800,502,649,657,991,800,16,502,502,501,282,503,501,282,282,500,503,282,502,503,649,282,649,649,502,282,501,282,503,649,649,702,502,898,16,502,502,500,649,800,238,649,326,501,82,500,501,500,649,282,649,502,501,503,501,502,649,800,800,421,107,649,503,685,649,502,649,107,504,502,501,500,500,649,649,502,341,502,500,502,107,16,501,9,502,502,800,501,800,800,501,282,501,16,501,500,500,501,500,800,649,800,443,502,500,649,501,502,107,649,800,190,503,502,503,932,282,800,282,502,282,501,501,500,500,501,500,16,500,36,282,649,818,713,501,651,649,502,503,501,800,800,501,649,500,501,501,500,501,501,501,971,502,502,503,388,501,649,844,503,649,800,800,862,649,649,61,500,269,282,16,500,800,501,519,501,501,500,800,502,502,501,500,799,500,502,16,501,502,500,786,649,649,500,501,502,649,175,380,772,500,501,649,503,502,501,502,282,502,649,501,500,382,502,502,649,503,649,800,503,503,302,649,501,649,646,500,503,504,66,503,188,500,914,649,800,501,103,501,504,501,500,800,501,501,649,908,501,800,500,800,500,501,649,16,501,501,82,16,502,306,502,649,503,649,800,502,502,800,800,827,571,504,502,319,502,649,501,649,800,502,16,504,282,503,502,939,282,800,501,649,503,503,16,649,282,800,503,501,800,501,500,502,984,500,501,503,909,103,500,649,383,282,649,800,649,649,649,503,504,649,16,282,501,501,282,800,500,501,503,501,649,416,800,800,503,502,800,502,649,503,649,282,504,503,503,800,800,501,800,804,503,502,502,282,649,282,502,674,83,649,661,16,500,16,502,693,800,504,174,501,649,503,502,800,811,501,282,282,800,500,502,148,179,503,107,500,503,800,817,503,503,649,500,500,800,807,649,502,503,107,649,282,107,502,649,800,501,503,500,500,649,500,800,649,503,501,501,800,503,500,500,800,649,503,501,282,502,500,800,649,800,503,800,503,501,649,282,282,502,800,500,502,503,800,800,502,800,649,800,503,282,501,103,800,503,649,503,102,800,16,649,41,500,16,501,503,16,501,502,649,503,802,502,800,800,16,503,649,800,80,800,501,649,16,800,503,674,282,502,807,503,500,501,502,502,501,800,504,800,649,500,649,649,503,503,500,195,502,108,53,503,800,500,503,800,800,501,800,500,503,500,649,157,649,282,503,649,501,502,649,501,500,502,800,501,282,503,720,282,430,800,500,500,282,16,800,501,502,282,500,500,502,500,501,500,500,901,500,500,501,800,502,501,502,501,649,502,800,501,649,555,649,502,107,32,282,501,107,502,503,212,502,649,503,502,503,413,504,503,649,501,737,282,501,649,501,659,282,503,16,503,800,504,800,500,282,502,649,800,501,501,502,800,16,800,649,16,282,503,503,800,502,649,16,501,800,649,800,649,800,503,16,502,649,504,800,800,500,501,649,500,16,800,103,500,933,649,501,103,500,500,649,504,800,649,649,502,984,500,282,503,501,649,503,500,500,649,649,800,649,404,501,649,649,397,501,502,103,500,500,649,649,500,501,663,502,501,501,649,502,503,16,500,500,503,800,193,502,649,503,800,800,800,500,503,502,500,502,502,649,501,500,707,502,503,500,503,649,800,501,500,649,501,649,502,754,111,800,502,503,503,503,501,800,503,502,502,649,500,282,500,502,503,800,500,649,502,649,503,500,501,502,501,282,649,649,16,500,334,502,500,649,502,503,649,501,108,800,502,235,500,649,501,649,504,579,500,16,84,502,790,649,503,502,501,500,279,500,649,884,121,649,800,502,103,800,16,503,500,501,502,503,800,282,950,282,503,503,503,649,500,16,103,953,800,800,282,503,500,282,503,649,619,282,16,500,16,23,649,500,501,599,501,503,502,503,501,800,649,501,501,501,649,503,501,800,500,502,501,502,577,800,649,649,800,649,500,649,998,649,500,649,501,644,998,504,503,800,800,503,282,16,501,16,500,649,649,500,503,282,500,500,502,503,649,503,502,500,107,282,800,500,501,500,502,504,503,800,503,649,502,500,649,503,730,500,16,649,800,501,503,383,503,188,958,503,396,502,500,107,649,649,503,500,503,186,502,282,502,503,501,800,649,502,649,502,800,503,502,832,502,503,649,649,800,502,501,500,649,649,649,501,800,306,501,501,501,11,649,282,500,282,649,500,503,500,504,500,649,502,501,500,800,16,500,502,800,502,800,502,462,501,502,502,649,503,107,503,503,649,800,800,501,500,649,502,649,649,501,800,649,500,503,800,179,502,500,500,401,282,501,501,501,16,649,685,692,501,16,501,649,800,501,502,502,502,107,714,500,646,155,500,501,282,649,502,503,800,502,503,502,500,502,500,16,800,620,23,562,501,502,500,501,685,649,107,357,502,282,502,800,501,804,761,800,503,503,800,800,800,687,415,501,653,501,649,501,16,800,649,500,501,800,995,503,452,800,500,502,502,503,746,282,649,500,500,800,502,649,501,649,500,503,800,500,502,503,500,649,800,501,649,135,800,504,649,800,501,502,800,502,282,800,800,502,502,502,503,800,503,800,800,503,503,500,501,282,16,501,282,202,503,504,649,503,649,503,282,503,500,800,501,75,501,16,800,501,502,649,501,282,503,107,502,501,500,800,649,282,282,282,99,501,502,501,800,800,16,800,800,504,800,604,501,649,800,649,649,500,717,501,502,649,500,800,595,500,501,649,598,649,649,484,501,503,857,649,16,500,16,504,282,800,649,502,649,800,218,503,847,500,16,649,16,16,502,500,282,500,511,501,502,16,502,649,501,175,501,282,501,502,503,503,502,501,800,649,500,502,649,501,998,503,800,16,800,649,501,501,282,501,335,649,800,501,501,502,500,876,800,500,501,502,501,800,500,16,649,503,232,800,867,501,503,800,503,649,500,153,500,800,500,502,503,649,800,706,649,501,500,481,500,501,503,282,800,500,504,649,501,800,800,503,282,800,16,800,502,16,649,503,502,649,800,649,502,501,501,649,502,282,501,500,800,292,691,502,500,800,503,919,16,286,282,500,184,800,568,504,800,501,503,649,503,545,163,500,800,16,500,501,502,141,500,501,649,649,16,500,649,501,501,800,500,282,503,500,282,502,503,501,500,800,601,504,503,503,502,503,500,649,501,800,800,282,649,500,504,240,502,282,800,502,282,800,951,502,501,800,502,502,16,501,500,452,38,501,147,800,500,502,500,500,501,503,964,649,626,501,503,503,282,282,501,503,538,800,955,307,503,504,649,800,501,800,800,500,502,503,468,501,500,501,282,500,503,800,649,800,16,502,504,698,421,282,282,501,503,502,503,107,807,501,501,986,800,503,282,649,503,649,503,503,500,500,16,500,800,282,502,503,500,933,500,150,649,1,501,501,500,502,16,800,525,503,504,503,500,649,16,504,800,800,141,502,500,502,649,800,800,800,501,503,649,501,16,501,641,503,501,454,501,501,546,1,502,649,282,500,649,501,503,800,504,500,649,500,503,91,502,502,800,868,282,500,655,503,800,649,503,228,502,107,594,502,501,953,103,188,800,501,501,409,503,502,501,282,271,597,407,501,381,927,500,502,503,16,354,800,503,503,649,282,502,728,800,500,649,950,503,800,649,800,649,211,800,500,503,500,500,649,16,501,502,500,500,504,500,800,16,502,503,16,501,800,800,649,649,649,107,800,503,800,503,499,501,502,503,502,282,282,649,649,16,502,502,282,503,800,286,503,800,649,717,235,501,500,500,800,500,649,503,500,649,502,16,282,501,649,800,800,501,502,502,649,504,503,500,54,502,800,501,649,826,503,500,800,501,934,121,800,26,501,503,16,800,503,800,649,502,502,500,503,709,649,501,500,282,282,502,502,503,649,503,500,502,800,501,649,649,503,503,649,503,503,500,502,500,503,282,649,500,503,502,612,502,502,100,500,503,420,501,501,500,800,23,502,282,16,502,503,500,282,502,501,404,500,503,503,503,762,502,504,921,800,649,500,800,503,649,503,649,471,375,503,503,502,502,503,800,649,500,649,16,500,490,649,282,501,500,649,500,500,501,649,503,800,928,502,502,103,16,500,502,604,649,501,503,500,649,503,503,800,649,500,503,499,502,503,649,800,501,649,962,500,282,282,282,282,16,282,504,800,502,503,501,500,502,502,503,609,800,800,864,282,500,503,800,500,427,502,800,503,503,107,503,800,282,649,503,502,282,501,501,500,282,500,649,649,500,500,800,800,500,945,503,503,579,502,500,800,649,649,500,364,503,502,800,501,800,649,149,502,649,500,503,503,500,649,16,649,693,501,500,503,502,649,282,649,500,501,800,500,282,60,542,800,615,501,502,501,501,500,500,503,866,501,800,743,800,649,500,500,501,500,16,649,302,503,800,502,800,800,212,800,282,501,649,501,103,500,503,500,503,330,502,503,502,501,502,649,107,501,649,502,649,58,503,602,502,106,800,506,502,504,664,792,245,503,502,800,649,798,493,649,282,800,25,787,742,501,282,500,282,254,501,500,500,500,800,502,800,503,501,573,134,503,649,649,503,11,909,282,501,800,16,503,501,649,500,503,502,649,800,501,503,735,502,16,103,12,504,282,500,501,800,501,501,649,649,282,501,649,501,502,501,649,649,501,649,439,800,503,504,16,800,502,501,503,503,800,500,800,500,502,501,500,649,500,503,503,500,36,502,502,500,503,502,500,503,501,502,503,649,649,282,319,88,800,502,800,503,502,503,800,501,502,556,764,800,345,503,163,501,649,503,282,502,649,501,649,503,345,502,502,16,649,800,800,82,500,500,500,800,738,929,649,16,649,282,500,649,800,800,501,649,500,649,502,502,501,503,649,282,502,649,800,501,500,500,500,502,500,503,500,500,503,500,16,502,800,649,501,502,649,501,501,501,502,120,800,649,649,282,649,503,501,502,649,504,501,649,503,649,161,501,504,800,800,800,119,530,800,500,501,16,501,800,16,500,500,503,130,500,500,502,175,705,800,591,282,649,800,800,502,282,503,500,503,282,502,503,500,800,502,502,800,500,282,502,503,16,502,800,800,16,282,800,503,736,502,500,501,107,500,500,854,15,500,503,501,926,503,501,500,500,503,800,800,503,500,791,800,800,800,800,800,800,500,785,501,502,824,649,800,505,786,800,800,502,649,502,649,282,501,649,503,501,649,503,273,503,656,649,649,161,501,502,649,501,500,800,500,501,502,282,472,800,649,503,502,800,16,503,41,502,501,507,503,501,500,101,649,371,503,502,500,502,800,503,649,501,500,800,649,800,502,16,500,503,16,500,649,501,502,649,282,800,501,500,501,649,501,500,502,282,649,502,503,800,800,500,502,649,649,501,800,502,282,465,500,501,500,500,790,649,16,800,500,502,502,649,500,649,501,649,769,503,502,502,649,16,649,809,503,503,501,502,16,500,800,502,449,800,851,502,649,500,800,649,502,500,58,501,501,649,500,500,282,282,800,800,649,800,503,500,500,800,649,500,649,503,500,500,501,501,632,282,649,800,500,800,282,856,800,504,807,501,502,500,282,800,395,282,282,503,501,649,800,501,500,501,503,200,502,503,503,502,800,502,502,93,649,800,500,374,503,800,282,500,649,282,800,649,948,500,649,800,800,649,500,500,501,104,501,485,500,282,500,500,282,501,501,501,649,502,250,468,503,500,502,649,502,61,649,800,16,649,503,500,502,501,866,500,159,781,500,282,649,500,502,500,501,503,348,16,504,619,501,503,502,504,800,503,502,503,189,282,800,800,649,503,502,12,800,649,500,649,500,677,192,800,800,501,649,504,800,501,502,500,503,501,282,503,500,500,499,501,501,502,500,649,456,500,800,500,500,500,503,501,500,500,502,282,800,501,800,649,455,502,649,800,502,502,501,800,649,230,501,500,800,501,501,282,503,503,619,503,800,800,905,649,649,502,800,800,856,503,62,800,503,501,499,500,800,501,649,987,800,16,501,503,500,800,376,500,500,422,500,584,501,282,500,501,16,649,501,503,503,179,502,678,500,500,427,500,649,501,503,500,800,501,800,503,282,649,782,502,501,649,502,501,649,649,500,482,800,500,282,501,502,800,502,78,800,800,16,500,500,502,502,500,500,282,502,501,501,503,282,500,501,282,502,800,800,16,500,503,503,500,503,800,503,500,800,501,502,500,800,384,502,800,649,849,501,500,500,501,502,602,649,359,504,502,500,103,500,503,649,503,501,649,379,500,800,282,502,832,503,604,500,502,503,16,851,800,500,649,282,649,827,282,503,807,706,842,800,649,649,107,16,502,649,282,501,649,500,207,502,501,649,503,503,502,649,800,470,501,501,503,502,526,649,500,501,649,800,503,706,500,503,500,800,501,500,705,502,800,282,800,500,502,282,800,502,501,503,503,800,503,501,501,500,16,501,800,649,127,649,503,503,502,500,282,724,800,502,503,649,500,500,500,500,501,649,282,503,502,550,503,503,257,500,503,502,649,215,502,504,501,107,502,606,503,500,800,503,501,502,16,649,649,91,210,16,800,800,502,107,800,634,800,800,649,171,501,453,800,500,502,807,500,403,237,503,800,502,503,501,502,807,500,649,649,800,649,502,282,501,671,800,449,503,16,649,502,691,501,649,423,500,501,502,29,500,503,501,649,547,800,329,503,501,502,500,503,501,282,500,501,800,503,800,500,16,16,800,792,282,501,500,282,502,227,503,800,501,282,649,800,800,100,974,282,800,800,97,502,502,800,503,501,360,500,501,503,649,502,502,649,503,501,293,800,503,500,800,501,282,502,800,500,754,502,502,800,503,649,649,500,500,503,254,503,502,500,501,500,502,282,502,527,649,500,16,959,16,800,94,500,800,800,504,500,503,502,502,500,800,502,649,501,500,500,649,501,502,258,503,649,502,800,503,677,503,502,501,282,502,649,502,960,500,503,501,282,502,502,500,107,502,800,503,649,800,800,800,800,503,503,503,500,500,500,503,502,4,501,649,649,501,502,649,501,649,649,800,503,282,800,501,509,502,800,503,282,649,367,16,500,502,500,821,800,503,649,808,649,282,500,500,649,500,501,500,500,500,800,500,503,501,503,872,503,504,12,503,503,16,545,282,502,649,484,501,649,502,501,501,500,649,503,893,478,649,649,503,800,502,649,649,503,282,120,300,500,503,584,800,503,282,503,500,503,282,501,800,800,561,191,649,936,503,503,502,500,282,503,838,503,500,175,347,501,503,282,500,502,800,501,282,501,500,502,500,941,282,500,502,800,638,503,800,500,282,501,282,504,800,649,385,649,502,282,500,500,503,501,500,502,649,500,800,502,800,503,604,502,649,649,503,995,501,781,649,500,502,503,800,649,501,503,613,282,649,649,503,649,800,501,649,500,649,502,503,502,282,501,649,16,500,502,16,649,800,436,501,500,502,501,655,500,501,800,705,649,501,282,649,503,649,502,500,502,800,501,502,16,502,500,282,502,103,503,649,643,649,502,800,998,500,500,649,501,501,500,800,501,800,501,282,502,503,501,503,501,502,649,503,649,503,800,800,282,649,543,800,807,649,502,800,649,503,502,503,501,649,800,649,501,504,649,649,502,800,503,836,16,800,503,301,503,502,502,500,103,500,503,502,502,502,500,282,16,500,268,107,501,503,649,16,503,800,114,501,282,500,800,649,14,93,800,282,649,500,503,500,171,503,800,806,3,490,800,467,503,649,282,649,501,16,503,503,502,800,500,503,282,504,800,282,500,649,500,8,739,107,16,501,503,864,500,282,504,649,502,500,800,502,503,982,503,282,649,649,904,501,632,12,502,705,797,16,500,434,502,282,800,500,503,501,800,500,800,282,500,649,881,502,758,503,538,800,649,800,502,97,16,800,511,649,812,504,725,649,800,107,693,503,502,500,501,724,575,11,501,501,502,16,500,107,649,867,16,282,940,649,503,501,972,382,614,737,503,800,777,282,500,500,649,16,89,502,704,557,503,500,649,503,503,504,16,502,800,504,500,218,502,282,501,649,107,649,500,430,282,502,547,649,501,800,522,649,649,503,16,502,502,501,503,16,503,501,502,174,800,155,800,314,502,649,16,500,282,890,501,800,503,800,649,500,282,800,503,837,800,503,501,502,190,500,503,64,503,800,501,800,800,920,500,501,282,140,13,501,649,500,800,282,107,501,501,501,503,649,502,503,649,282,649,501,504,502,890,649,502,800,649,649,282,800,402,348,649,800,501,545,500,649,502,501,16,800,502,502,500,282,501,521,282,501,500,16,500,502,503,503,649,16,800,282,500,303,502,502,800,800,500,599,649,800,16,502,504,500,282,649,501,503,800,800,504,611,649,504,282,649,603,502,282,16,800,501,503,501,33,500,800,503,800,502,649,649,149,502,501,501,500,649,649,16,501,116,803,948,503,500,649,369,500,502,500,800,502,504,500,500,500,800,502,500,623,107,501,500,502,705,800,292,800,502,800,503,800,800,205,800,500,500,800,501,502,503,503,502,649,800,502,16,800,649,501,503,501,282,502,503,501,649,175,649,649,502,501,502,800,649,504,502,649,103,649,501,282,800,502,502,649,500,45,501,390,649,800,543,282,502,282,500,107,501,107,649,282,16,132,502,800,649,500,649,503,282,503,503,282,501,502,503,649,502,503,800,649,500,649,502,500,503,800,501,649,502,502,800,282,502,501,800,500,501,649,500,800,285,501,456,502,500,501,282,502,69,282,649,800,500,649,503,868,502,504,107,502,502,502,501,504,649,922,800,503,501,649,502,503,800,501,282,649,504,649,800,800,500,503,501,413,649,282,484,500,502,649,278,500,500,500,500,800,500,502,800,500,307,649,800,503,649,649,503,502,649,282,502,501,502,800,282,503,649,800,800,501,500,800,800,649,649,501,500,501,649,502,501,500,622,399,282,649,329,649,502,966,800,501,500,649,312,501,502,502,282,96,941,649,503,649,259,800,800,107,649,800,16,502,800,502,16,657,500,14,501,502,503,282,800,968,502,800,282,282,503,501,501,501,800,800,500,681,502,649,501,122,500,905,503,272,580,249,800,649,459,500,649,502,501,81,445,16,800,814,888,649,501,504,502,502,502,503,501,503,501,502,800,502,503,800,649,800,501,282,800,500,800,137,502,502,502,649,503,502,504,800,649,649,503,501,502,282,500,503,504,503,500,757,16,282,502,458,282,500,501,502,16,800,782,503,800,500,501,256,502,504,582,502,800,800,501,800,503,501,502,573,649,500,500,503,16,502,503,502,501,107,502,16,800,16,501,500,502,282,503,500,503,500,502,501,500,502,502,503,502,649,649,502,16,222,500,503,501,800,282,502,249,16,501,503,500,800,502,500,800,501,500,107,501,501,503,649,503,282,501,503,800,705,649,502,500,501,800,500,780,649,800,649,282,2,861,800,501,800,800,503,500,800,501,282,649,649,931,500,503,649,16,502,500,558,16,501,503,16,465,649,502,282,282,501,649,502,503,502,503,501,503,501,500,649,649,282,800,500,500,282,502,502,502,800,504,800,504,501,502,800,502,649,500,500,16,282,649,536,501,501,16,500,282,502,649,800,649,502,800,8,500,649,500,649,649,107,16,502,502,649,501,501,502,649,501,500,503,500,501,502,800,501,502,571,503,503,282,800,500,800,47,503,503,501,501,16,649,500,649,501,501,800,800,800,502,763,800,800,503,502,800,502,502,501,500,502,649,501,905,501,282,800,502,503,649,500,649,649,500,501,500,500,503,503,503,502,800,502,800,800,500,800,500,800,503,501,649,649,282,502,503,502,501,502,503,500,500,282,501,501,503,501,500,800,649,503,649,800,502,503,500,282,501,501,501,500,649,235,299,500,500,800,649,800,434,885,361,504,501,503,953,800,502,501,501,501,483,500,800,501,649,500,501,502,800,500,502,500,649,501,545,500,502,500,282,800,501,501,501,282,503,500,649,503,921,501,649,503,800,282,649,800,503,503,502,501,503,501,923,282,16,296,800,503,649,800,649,502,649,800,500,376,502,282,649,800,502,504,503,501,503,649,501,800,501,800,16,649,500,502,501,875,504,800,502,711,502,649,282,910,500,503,500,16,534,501,501,504,800,503,337,996,237,649,800,800,418,847,500,500,503,282,800,501,98,502,502,800,502,49,282,500,282,501,800,503,16,800,489,103,503,504,103,518,500,503,501,500,800,49,282,300,764,502,502,800,649,282,107,649,16,503,503,501,671,502,282,502,503,501,500,500,637,502,502,420,501,501,500,501,500,503,503,501,16,16,395,800,501,502,649,501,583,500,500,500,337,185,500,500,500,282,501,503,501,501,503,649,800,502,500,503,329,649,294,800,756,502,800,500,468,800,500,503,649,800,649,502,649,16,800,502,422,503,282,502,502,103,500,949,800,500,503,800,500,502,649,800,649,649,500,501,502,282,649,501,282,502,503,588,649,503,502,282,282,649,260,800,282,649,564,800,649,501,800,501,649,16,503,502,502,282,501,501,502,501,800,500,502,649,967,186,503,503,502,503,501,501,503,282,800,503,502,500,503,500,649,236,502,282,800,501,502,501,800,502,502,800,503,500,282,16,502,500,800,922,500,503,502,16,502,501,483,16,800,503,502,88,502,501,503,501,800,502,500,502,502,501,800,502,649,500,455,800,649,517,503,16,800,282,649,500,503,503,501,503,500,800,501,503,103,635,561,282,502,502,16,504,503,107,282,501,649,282,649,800,501,503,503,649,282,649,919,503,633,435,503,800,502,800,922,500,454,503,500,502,800,500,503,501,282,503,500,800,501,500,16,800,502,501,500,501,503,500,500,500,16,503,501,501,502,502,502,502,501,306,649,501,500,245,800,879,503,501,649,503,502,502,500,16,696,800,501,800,649,800,165,503,741,695,502,500,800,500,500,503,649,649,500,503,649,501,502,649,503,649,16,503,502,501,16,546,502,502,800,800,503,649,107,500,501,282,800,800,800,282,651,503,503,649,500,502,184,500,500,503,649,502,282,500,298,800,502,500,503,502,500,800,503,500,16,503,501,649,502,500,649,500,502,62,800,649,503,282,500,500,503,503,501,16,800,500,800,649,225,692,491,649,500,282,649,502,500,503,500,16,282,800,502,501,282,282,500,649,500,501,500,800,503,500,500,282,417,500,503,500,504,500,502,503,500,502,649,501,670,503,800,282,501,800,504,649,282,501,502,500,503,501,451,100,500,800,502,503,500,320,649,502,274,500,501,800,800,728,500,16,282,107,72,502,500,502,649,489,503,503,16,501,103,323,500,800,649,282,800,807,503,503,503,503,800,502,502,282,282,800,503,649,504,503,503,501,503,807,113,500,805,649,649,504,500,502,649,502,73,432,501,501,502,649,800,503,800,768,800,255,922,418,502,800,649,500,502,500,500,800,649,649,500,500,107,500,103,500,282,649,504,501,800,503,784,503,503,502,800,800,501,503,800,800,496,501,500,800,538,504,501,282,649,858,104,290,500,503,503,500,649,800,800,649,500,502,412,730,501,500,800,800,649,282,800,503,300,501,501,503,282,501,800,800,501,504,502,500,501,328,16,16,649,835,800,470,500,501,800,501,16,800,501,649,500,500,501,800,500,500,649,800,282,502,501,502,282,649,503,500,78,501,325,503,503,501,800,500,864,502,502,800,800,500,612,667,500,503,503,16,501,649,500,282,500,831,502,282,817,503,501,502,189,282,503,500,800,502,649,503,502,649,16,800,501,800,936,500,649,16,500,500,503,504,502,649,810,503,500,282,649,503,107,936,705,500,649,649,800,501,242,500,527,800,501,800,503,500,649,501,649,282,800,500,800,500,587,649,800,189,198,966,500,649,649,282,501,800,800,503,16,282,649,502,501,503,503,942,501,16,500,501,500,800,503,502,16,16,502,500,800,282,501,500,503,800,649,502,503,502,500,800,315,800,282,502,501,501,500,550,800,327,16,516,501,16,502,500,800,16,503,500,649,500,501,649,500,501,43,649,500,502,500,500,800,502,539,704,107,502,800,170,500,649,502,503,503,649,649,502,282,282,503,501,501,503,800,501,501,501,649,501,503,502,501,635,800,800,501,501,502,800,503,502,800,501,800,16,503,40,800,500,599,649,649,503,500,503,381,282,502,699,227,649,500,503,501,501,800,800,730,800,501,500,800,800,503,501,800,800,500,503,500,503,649,501,110,649,800,649,501,503,252,841,500,503,503,500,500,503,996,501,503,502,500,502,501,580,15,800,256,16,16,502,502,500,502,800,800,605,800,503,502,649,500,649,500,502,502,500,613,503,503,649,502,800,800,800,785,501,502,649,103,871,800,649,743,503,502,503,502,500,282,522,503,649,502,800,503,501,503,649,282,501,16,502,503,503,800,649,501,502,649,500,501,504,278,800,504,500,500,649,800,16,500,501,543,649,282,282,502,649,649,503,501,282,649,716,503,282,501,800,501,256,503,501,500,503,649,800,500,503,282,160,502,503,501,500,800,800,210,934,891,3,518,800,649,649,504,800,649,800,501,511,800,501,503,800,502,502,649,800,649,500,503,501,800,501,16,282,800,282,282,503,502,800,649,501,503,501,503,500,604,501,501,800,500,649,800,500,501,501,800,800,500,500,651,282,709,502,502,500,503,131,337,503,16,502,500,800,502,282,501,501,501,500,503,502,889,501,800,563,649,800,800,649,726,75,503,800,502,500,502,503,800,501,282,503,800,500,800,282,501,649,649,503,503,103,500,988,890,883,285,503,502,800,649,649,103,427,503,800,282,500,282,800,649,649,282,797,16,16,74,502,16,800,282,649,500,621,800,503,500,502,649,500,649,503,649,500,800,30,501,502,28,266,503,649,798,502,501,417,501,800,107,800,502,504,738,501,800,500,501,800,502,501,502,503,503,501,107,800,800,282,649,649,502,39,466,800,503,649,501,203,500,800,282,503,500,50,500,501,649,501,502,503,44,16,503,282,503,502,943,649,501,500,500,876,502,16,506,649,500,800,959,502,16,502,800,305,282,503,649,16,502,501,649,500,800,705,649,500,502,800,800,503,500,502,879,649,503,501,500,800,500,282,501,107,649,282,503,502,503,500,649,800,649,500,649,649,807,800,502,755,503,501,502,501,649,500,282,504,649,353,800,504,502,646,503,500,504,800,502,649,800,800,503,500,282,282,503,501,649,649,501,503,282,282,503,649,501,800,503,501,503,500,502,503,241,501,503,282,503,502,501,282,503,461,501,800,282,952,282,502,502,504,503,80,502,501,500,282,16,504,503,800,649,800,503,587,282,504,899,800,500,502,16,501,609,503,800,800,500,501,389,503,502,501,305,503,373,221,500,500,502,501,760,503,502,649,502,501,800,500,417,800,949,800,800,503,635,503,800,107,282,649,282,501,649,282,649,503,502,800,501,37,800,414,578,800,649,16,500,649,501,503,503,501,500,649,503,501,501,501,502,974,500,107,282,502,501,649,649,501,503,500,500,500,503,504,504,500,501,502,282,800,502,500,502,800,649,649,800,502,503,800,103,649,503,502,503,503,282,500,649,16,282,500,503,501,500,501,502,500,16,500,503,930,502,821,502,486,502,501,503,37,501,501,282,503,800,500,800,501,800,282,649,500,502,502,800,16,800,282,800,501,502,501,501,282,917,649,500,501,501,502,504,502,800,501,272,800,282,503,500,502,502,649,500,503,624,503,502,800,501,649,402,649,282,501,501,502,502,16,504,500,16,282,501,502,503,500,282,502,306,503,502,501,629,489,503,500,502,282,220,500,323,500,800,500,500,502,282,502,800,500,503,649,503,649,649,800,503,586,649,649,502,800,649,16,282,800,79,800,502,502,800,934,503,502,587,800,502,504,501,800,649,16,16,282,500,502,800,501,500,800,109,16,84,649,502,800,697,649,501,500,776,501,45,503,502,503,501,500,502,800,800,501,649,501,16,800,500,501,649,857,503,800,649,503,501,649,503,282,649,158,282,501,503,937,403,502,202,501,36,282,649,282,500,385,503,500,502,827,16,459,502,62,800,503,502,502,107,503,502,649,503,282,800,500,500,649,649,504,500,800,779,502,503,381,503,649,504,849,649,501,604,500,839,705,385,503,16,119,500,500,501,501,696,501,503,503,500,920,503,800,800,500,503,107,502,503,501,503,107,501,502,503,381,282,500,49,501,503,503,649,800,501,308,758,474,800,503,503,500,156,503,503,282,503,800,500,800,649,501,103,668,107,649,16,800,830,502,501,282,503,500,473,503,501,807,800,800,504,502,503,503,503,500,800,468,649,649,649,500,503,501,800,502,503,503,282,501,969,649,649,408,800,500,570,501,800,503,990,649,502,501,282,107,503,500,503,500,282,800,282,649,282,502,500,282,501,800,500,500,503,500,502,800,501,282,282,282,649,500,501,800,800,502,973,285,502,501,503,282,800,649,901,501,501,282,800,500,502,501,502,501,504,282,504,500,502,649,800,649,800,649,282,282,502,282,649,500,500,649,800,502,500,504,16,282,649,500,649,503,282,503,614,81,282,501,502,501,649,502,500,502,198,800,501,800,501,16,502,877,649,501,811,502,282,800,500,504,503,800,500,503,502,649,502,649,705,649,800,800,501,503,649,501,305,502,649,502,503,501,649,500,501,649,479,927,500,502,502,501,604,925,649,500,501,282,649,800,714,457,502,502,501,500,502,500,502,649,501,500,501,508,282,800,502,649,649,107,649,500,800,800,502,16,502,503,107,501,649,649,946,103,500,885,800,800,14,502,16,500,502,500,501,501,502,49,500,501,649,504,500,33,800,500,500,649,282,800,223,500,501,282,282,107,668,500,502,502,502,282,502,502,500,800,800,649,677,282,800,500,327,501,503,282,147,503,500,502,500,503,282,649,504,501,649,502,16,649,502,501,800,868,501,503,16,800,282,800,502,501,503,800,649,504,649,550,800,500,501,16,649,107,503,16,501,282,807,503,800,503,250,649,59,500,800,502,649,649,500,649,16,103,503,649,503,500,502,501,500,500,502,800,500,800,502,500,501,107,649,502,800,502,800,442,501,714,649,503,501,503,282,800,649,649,500,503,500,502,502,502,282,501,800,502,800,504,501,649,16,503,500,843,500,800,501,649,800,503,282,649,800,649,501,800,501,954,649,282,800,649,167,502,649,501,800,266,500,500,72,222,502,500,500,649,501,128,500,502,649,16,649,501,43,237,282,256,501,282,800,244,501,502,282,800,504,16,649,66,916,912,551,501,898,501,282,502,503,878,632,107,443,502,649,944,649,266,800,115,800,502,107,503,500,936,500,501,501,748,502,501,107,502,503,282,812,649,800,649,282,503,503,503,500,282,500,800,125,503,800,16,947,649,501,282,500,117,502,649,649,16,800,282,500,500,503,503,800,502,501,800,503,504,800,16,502,501,16,800,502,500,501,500,503,649,502,649,503,649,500,502,324,749,219,800,503,502,16,502,503,649,502,502,800,800,502,766,282,800,989,501,503,501,800,649,501,500,503,502,664,504,501,16,763,501,502,282,500,282,500,503,889,649,500,504,729,501,800,500,501,503,500,282,107,800,610,8,501,800,599,503,500,503,502,170,649,502,800,500,502,500,502,502,501,503,800,478,500,500,282,800,503,503,502,438,500,500,649,818,500,649,501,800,649,363,16,800,103,503,502,502,503,282,500,649,16,502,500,649,501,500,649,800,800,649,282,501,16,500,69,588,504,503,500,649,502,546,800,16,800,503,502,716,501,761,502,900,501,649,35,649,501,103,500,500,503,16,502,502,501,800,503,502,503,692,502,649,502,460,649,503,767,800,500,501,800,649,800,649,800,282,16,979,501,502,502,500,16,800,282,297,107,500,501,649,800,16,16,500,649,737,502,649,800,502,800,500,500,941,713,502,501,800,501,501,677,503,800,56,502,348,968,502,282,502,502,649,800,500,282,282,640,503,500,500,503,504,503,500,800,503,502,503,649,649,501,359,501,649,649,16,800,800,800,16,427,500,282,800,282,503,649,6,800,501,501,902,503,800,623,689,501,358,282,501,218,16,107,503,503,501,282,501,501,282,503,649,503,500,800,649,502,800,649,800,800,502,733,649,649,502,282,649,501,800,16,501,989,264,16,503,16,503,501,800,800,800,282,502,502,501,110,504,500,800,501,16,500,503,649,62,16,503,500,800,502,43,282,337,113,501,501,16,131,649,503,325,649,649,503,502,800,500,502,502,800,503,500,282,500,500,501,107,649,282,800,500,504,501,502,219,650,503,504,500,502,800,800,16,502,501,502,800,502,7,609,649,649,16,649,649,649,800,809,501,649,503,501,500,895,500,179,503,649,649,501,503,502,503,501,501,503,282,503,503,503,503,308,777,502,501,201,61,502,649,78,500,503,503,800,503,282,503,666,649,649,16,16,649,800,282,501,502,107,800,501,649,710,800,503,373,265,500,502,16,500,503,503,501,503,992,649,349,501,649,502,606,501,649,502,501,502,502,502,16,502,800,800,502,503,282,649,503,502,503,503,282,800,357,800,16,504,649,107,963,649,649,913,800,503,649,501,800,649,918,502,800,800,503,500,500,501,501,500,503,501,500,503,502,16,503,503,800,501,868,297,790,502,503,503,289,502,503,649,500,501,501,800,94,501,362,502,282,685,501,800,649,125,16,552,800,500,649,800,282,125,649,800,502,503,800,500,502,503,503,502,501,503,649,649,543,502,649,161,800,503,503,501,502,500,502,502,482,502,502,282,502,82,649,502,500,649,500,503,500,800,282,500,800,502,501,649,500,800,649,500,56,501,502,500,800,501,924,502,501,275,800,410,502,649,500,649,655,888,502,649,16,502,254,800,500,800,500,800,500,134,503,501,16,282,16,649,502,16,800,16,800,16,501,500,800,800,503,282,500,500,500,500,867,500,501,502,503,649,500,503,501,503,89,16,935,503,714,890,501,500,500,16,501,503,800,501,16,500,16,502,501,501,800,501,500,800,503,16,800,491,500,502,16,502,501,649,800,804,16,282,84,16,500,800,282,504,800,501,500,649,16,800,282,649,501,107,800,503,502,282,649,502,800,649,16,503,282,909,173,16,503,282,800,282,500,16,503,649,643,672,16,16,282,649,503,501,502,502,62,902,500,649,800,502,649,504,500,649,503,503,193,649,502,501,500,500,500,931,502,502,501,800,501,502,809,501,502,800,501,103,796,502,502,800,649,699,282,649,800,503,502,649,503,501,503,320,800,649,500,500,800,504,282,800,649,649,501,501,503,282,800,500,649,649,715,800,500,978,800,800,502,282,282,501,500,503,649,501,800,501,649,800,874,500,501,502,502,800,800,502,649,503,16,649,282,535,800,800,500,950,501,502,649,800,502,500,16,500,503,500,502,504,282,503,282,501,503,503,502,282,800,501,503,149,501,649,501,649,947,500,503,503,501,501,655,502,282,940,502,800,500,16,800,501,503,16,503,16,800,649,502,502,503,282,800,502,500,509,649,800,500,502,16,800,649,649,282,800,649,503,906,16,800,503,333,501,292,962,502,500,800,502,527,649,16,503,501,649,501,502,649,800,500,501,502,503,502,503,504,82,800,502,500,649,16,800,503,500,649,503,503,282,501,649,502,649,16,16,503,800,649,502,503,500,503,500,800,649,502,800,502,668,503,649,500,501,16,502,649,800,500,500,500,114,502,687,503,500,282,681,911,500,503,477,503,501,752,759,500,503,36,800,502,501,800,831,500,800,374,503,502,282,212,502,501,649,991,649,464,501,649,649,502,500,800,502,501,226,800,501,503,800,649,500,282,649,500,502,501,282,503,502,501,500,649,500,674,502,500,821,800,503,500,282,503,800,282,52,500,502,500,282,503,548,501,502,503,503,504,800,800,800,503,437,501,502,649,282,502,800,649,649,503,500,502,649,501,649,503,603,501,501,501,649,502,649,500,287,503,502,768,303,503,502,501,282,649,893,699,503,649,519,282,501,649,504,649,501,503,502,503,501,503,800,503,500,909,500,445,501,503,778,502,501,503,501,684,603,800,502,503,800,503,649,800,503,800,501,501,503,501,500,503,502,800,649,500,501,502,282,649,500,501,171,501,800,502,800,800,103,500,335,502,649,355,500,500,282,502,503,500,503,16,282,800,501,501,16,500,649,503,502,16,526,649,501,500,78,500,502,282,282,16,502,500,649,502,501,503,503,385,990,1000,502,503,503,800,503,501,501,800,912,501,649,502,800,649,282,500,800,649,500,500,649,649,502,16,800,800,800,504,501,282,502,501,649,649,501,500,649,501,500,503,649,500,223,800,800,649,649,872,501,501,501,800,303,142,16,649,282,649,348,503,800,452,501,502,502,800,500,501,168,501,282,649,501,501,649,502,503,649,800,502,500,800,204,800,649,502,282,649,500,501,649,285,282,502,490,503,649,649,103,537,919,679,800,501,800,501,87,500,502,649,503,502,503,503,503,501,649,515,500,649,282,502,500,649,501,502,27,502,503,503,500,501,16,649,649,282,500,503,384,502,502,500,503,762,343,500,503,649,800,16,800,503,503,800,503,503,501,501,500,649,649,260,501,503,501,502,800,282,503,885,282,503,500,500,501,501,501,645,500,649,800,503,282,500,503,649,500,135,503,503,649,800,500,649,501,501,649,501,500,500,800,503,503,502,502,282,957,501,16,649,501,845,282,649,501,103,103,800,501,649,649,500,501,501,449,649,504,16,503,800,93,774,503,866,502,800,800,504,649,800,503,16,16,502,500,500,81,282,634,503,948,16,800,649,501,502,500,16,503,313,503,800,501,500,848,500,800,503,503,503,503,649,282,649,649,639,504,501,649,501,800,282,16,504,800,500,649,649,501,502,502,500,800,501,501,501,501,504,649,423,500,503,500,503,282,800,500,649,921,649,501,200,500,500,502,503,282,500,500,500,800,282,473,800,500,918,280,500,500,353,649,501,800,649,800,649,105,500,502,649,649,85,800,501,649,503,501,800,139,500,16,503,503,800,800,501,353,308,501,500,649,364,363,649,500,503,501,282,503,501,500,501,800,649,502,282,502,500,501,501,501,501,503,500,501,501,503,649,800,103,17,800,649,800,501,502,501,502,502,425,802,501,381,649,501,800,503,501,500,497,503,502,16,502,74,503,93,504,501,503,649,502,282,649,504,500,649,503,500,800,502,800,779,501,501,502,16,503,956,500,504,578,501,503,501,800,255,501,800,500,800,880,503,501,502,500,282,502,501,501,834,503,649,501,649,502,500,502,800,256,151,501,572,503,857,503,649,800,501,503,800,501,649,268,282,500,501,800,501,512,500,500,502,502,16,501,604,16,502,649,16,16,503,649,502,800,500,649,649,800,501,103,649,503,800,503,800,649,800,501,501,47,223,502,499,502,504,948,282,500,502,501,282,500,16,800,503,800,501,105,502,500,282,282,500,501,501,712,500,800,502,500,501,649,800,500,503,503,649,500,503,502,502,649,500,502,50,501,500,500,800,53,800,649,800,501,503,503,502,61,649,503,503,649,857,502,502,800,502,500,649,800,501,503,852,800,188,500,282,502,110,501,649,502,503,503,649,950,503,547,500,503,649,501,501,501,501,501,107,740,500,500,501,649,649,500,500,649,150,501,501,500,502,500,800,107,16,55,500,500,282,501,649,649,503,503,503,800,500,500,503,107,680,503,749,309,501,462,503,16,503,282,501,148,107,500,500,282,503,649,649,503,248,501,500,381,800,494,16,502,649,649,649,502,164,649,503,576,282,800,282,500,502,324,501,282,503,502,503,16,502,16,649,545,800,800,500,649,649,500,993,387,501,649,504,503,500,501,649,501,501,502,174,502,501,329,501,800,282,502,282,800,501,503,800,282,502,800,500,500,800,394,500,501,649,800,282,501,339,282,500,800,503,501,423,502,446,500,282,649,503,282,500,800,272,936,649,649,649,500,500,502,500,800,500,503,914,500,783,503,500,282,504,501,800,501,649,503,501,502,504,282,503,502,649,501,800,16,282,800,503,800,800,800,500,500,503,649,649,501,502,286,503,500,500,502,800,500,270,501,503,500,503,800,906,800,503,502,649,501,800,543,504,503,16,500,603,500,503,705,107,800,500,502,502,503,503,282,282,500,878,800,502,649,504,282,953,500,154,16,500,282,920,500,649,649,944,500,503,16,649,502,16,500,649,503,800,16,501,503,503,501,500,282,649,282,649,800,628,503,501,503,649,501,500,501,503,282,503,500,500,504,503,503,282,501,500,503,500,502,649,501,502,538,649,501,984,800,500,503,649,503,282,649,503,16,501,920,501,649,800,503,503,504,100,501,500,503,501,649,503,500,282,800,501,170,500,868,500,500,649,504,501,503,649,282,502,988,500,649,649,503,503,500,501,800,502,503,649,501,503,501,500,307,500,502,502,649,502,502,649,502,503,501,503,649,800,103,800,282,282,649,649,186,501,503,649,649,107,502,503,500,500,500,503,16,234,800,282,500,176,503,502,503,482,503,503,501,649,800,502,503,503,502,503,282,501,502,500,282,800,800,502,800,800,800,918,500,800,212,649,800,503,800,503,500,287,16,502,950,649,501,16,800,363,503,500,500,500,502,800,501,800,503,149,40,767,500,503,500,800,800,800,502,649,501,84,503,504,649,800,500,503,800,16,503,503,500,800,501,800,649,649,282,649,501,500,503,649,282,282,501,769,800,884,649,503,649,800,708,503,800,500,501,600,16,503,282,500,630,503,884,502,502,649,500,503,16,500,800,800,502,250,500,503,503,503,504,502,649,16,500,649,501,909,800,800,503,503,502,501,937,501,794,800,502,195,266,503,649,800,504,800,800,501,503,800,501,502,800,502,503,500,500,501,503,649,800,59,503,315,16,501,103,503,500,502,282,500,504,649,502,503,800,649,501,502,500,500,800,16,500,503,501,627,184,503,649,502,869,503,649,800,362,491,103,500,16,502,649,501,502,501,501,649,503,500,649,376,16,211,500,5,649,502,503,567,503,503,800,355,500,486,16,646,111,735,425,649,500,502,501,501,248,502,501,107,504,64,800,721,800,649,503,649,500,557,649,282,800,503,649,503,502,649,741,649,502,800,502,503,501,16,273,282,349,649,820,503,500,501,501,381,282,649,501,800,504,503,503,107,385,503,324,649,500,503,502,282,503,132,16,581,501,500,504,501,502,502,502,501,649,503,501,500,649,503,502,282,282,503,649,748,383,501,800,500,501,502,503,282,503,282,649,503,500,500,500,800,649,502,107,503,649,502,764,501,500,502,501,721,501,649,798,338,502,501,649,282,649,800,766,501,659,503,683,649,501,834,800,500,800,501,503,800,501,107,502,500,500,503,503,800,649,503,659,16,800,649,994,500,649,148,282,500,503,500,107,500,503,800,504,503,503,649,502,503,500,500,800,981,800,649,454,500,758,500,24,503,114,800,502,502,503,649,800,503,800,2,502,502,500,503,545,282,501,501,16,500,503,500,503,501,282,500,800,649,16,800,502,10,800,500,546,787,503,502,800,500,501,16,502,800,16,500,502,502,501,299,501,500,16,500,501,502,501,501,503,649,16,500,502,501,998,282,502,502,502,482,502,495,282,501,503,282,282,503,924,245,502,502,504,543,503,32,500,649,500,502,800,503,500,649,500,649,500,282,800,218,649,800,503,501,501,500,503,800,16,500,503,509,502,501,502,282,649,502,16,501,107,16,649,349,570,604,502,800,105,503,500,348,280,800,501,383,649,500,282,800,502,504,800,649,500,501,16,282,503,501,500,501,501,800,800,500,501,282,282,800,800,500,501,502,500,503,501,800,800,501,511,502,503,500,502,502,501,501,663,282,800,501,282,282,503,502,500,800,649,16,649,501,800,503,501,501,500,504,723,501,502,501,500,502,503,502,800,282,504,649,208,501,501,500,504,100,16,501,503,503,16,16,800,919,800,503,503,502,649,501,460,800,282,634,500,408,500,501,500,648,410,500,501,282,500,282,16,502,500,500,500,800,500,148,800,800,503,500,130,16,406,649,501,649,800,503,363,625,500,800,800,501,503,16,283,501,504,649,395,501,282,649,800,501,501,103,500,501,649,450,502,800,800,501,103,502,501,800,503,649,500,126,501,992,649,649,503,282,501,503,501,501,370,282,800,503,282,501,503,500,4,800,800,503,232,501,800,649,502,649,503,502,501,282,800,800,800,503,503,500,502,649,841,504,503,98,649,500,649,503,501,500,649,800,800,282,895,500,800,800,502,502,649,495,649,500,800,968,503,800,500,800,503,649,502,500,500,500,503,881,293,800,651,800,649,800,282,282,649,16,800,800,501,800,500,282,503,501,503,800,500,500,502,500,649,500,500,14,282,502,502,501,612,103,16,502,40,501,502,503,800,649,649,502,888,502,503,649,800,607,503,156,800,16,742,107,501,800,406,800,502,649,912,800,800,500,649,503,503,800,501,502,649,649,500,501,690,649,502,282,503,482,502,501,591,501,800,501,649,103,236,503,800,800,502,649,500,800,649,800,500,503,500,503,501,501,800,504,282,501,63,503,282,649,16,649,649,367,800,800,501,502,282,649,16,800,500,500,800,503,500,282,221,800,501,282,649,502,503,800,502,501,282,504,502,800,800,503,282,502,504,504,500,503,501,381,800,501,922,502,500,358,503,16,800,649,282,502,377,350,503,501,109,502,800,502,500,151,118,649,282,282,196,502,16,800,500,800,502,501,649,500,503,503,351,16,503,694,501,720,503,503,502,500,503,800,501,501,649,503,448,9,376,282,816,502,496,800,258,649,189,649,483,500,502,649,501,649,282,503,69,800,800,503,500,503,502,501,649,500,502,388,501,649,502,649,502,501,502,504,503,282,649,167,501,649,500,503,503,282,104,800,16,500,501,503,549,503,528,500,800,503,502,800,110,501,282,501,282,500,16,501,979,220,503,675,16,800,503,598,503,503,500,800,336,503,501,503,800,649,649,800,282,504,16,800,500,501,649,649,877,291,502,800,504,800,282,800,500,500,500,502,343,649,500,649,649,501,865,282,107,800,503,800,500,501,500,618,502,649,503,501,282,649,501,504,800,502,500,504,502,510,515,500,921,800,177,503,47,800,768,503,282,800,810,800,800,500,500,649,501,16,800,501,503,282,282,649,501,339,649,501,282,567,502,500,502,502,537,717,39,504,541,502,649,502,502,800,463,501,503,500,501,500,502,800,800,501,800,649,529,800,649,282,649,500,500,501,503,800,649,282,503,16,503,149,501,8,500,702,500,500,282,16,800,16,501,282,503,715,502,502,107,649,649,662,800,501,501,800,649,503,649,222,503,501,503,500,501,503,502,649,503,649,502,501,959,503,481,502,800,800,649,800,649,349,454,503,503,501,800,501,800,502,503,567,500,503,501,282,501,16,649,500,503,501,800,556,800,502,500,501,282,500,500,503,800,16,503,501,503,649,282,503,503,501,16,16,807,500,16,112,500,800,800,649,501,502,501,649,107,649,502,501,500,557,503,649,503,402,909,504,501,501,501,103,800,649,649,503,800,500,500,800,800,500,503,502,502,501,503,500,124,502,501,502,500,649,282,649,502,16,501,906,501,800,800,815,501,503,502,649,282,501,500,500,569,800,503,501,502,107,502,503,800,800,282,503,649,16,503,501,502,502,16,500,800,731,967,649,502,449,800,500,16,503,503,504,502,502,501,800,500,503,503,502,502,135,817,150,294,500,503,282,500,501,503,800,16,800,502,649,502,800,282,800,649,800,800,501,873,649,649,503,501,282,800,500,103,500,500,800,500,502,800,502,500,500,922,800,861,282,800,649,649,500,385,282,285,502,503,503,334,501,503,500,752,504,649,649,503,500,46,500,800,500,649,16,503,28,649,501,800,500,107,503,219,724,502,800,500,649,395,63,392,649,500,500,107,282,500,501,503,800,503,502,16,282,503,775,854,501,500,502,800,502,500,500,423,199,800,649,501,394,282,800,502,64,501,501,282,501,501,500,500,500,800,503,800,16,500,503,649,503,500,649,649,503,933,282,502,282,503,973,337,501,337,502,501,649,502,178,16,500,16,800,500,501,582,282,800,107,502,649,500,808,777,800,501,470,500,126,503,503,500,756,236,107,649,503,282,501,902,107,503,800,501,502,502,649,741,662,649,503,503,423,649,503,502,503,649,778,800,501,503,282,282,503,503,502,500,501,501,502,502,800,649,405,503,503,649,503,502,828,500,500,501,501,103,649,502,503,503,649,119,500,282,129,500,282,502,900,502,500,501,500,500,16,589,503,98,800,501,800,649,282,502,76,16,501,832,800,503,649,302,282,649,502,502,503,502,503,649,158,649,503,505,16,502,501,501,504,501,500,500,649,800,501,502,282,649,500,504,501,649,800,503,502,502,503,502,800,500,500,502,649,649,800,502,502,502,501,649,502,649,501,502,649,107,810,501,16,282,503,800,282,649,103,503,503,800,503,500,503,503,948,503,503,503,503,500,475,501,282,800,800,800,503,500,416,800,800,500,501,500,502,501,649,649,501,503,502,502,282,502,501,75,503,502,726,649,16,16,635,800,503,501,502,502,502,649,649,16,502,502,800,503,649,282,501,503,800,503,501,800,500,703,35,500,100,502,502,503,503,800,16,512,48,649,502,502,800,800,503,501,282,685,281,282,800,502,502,502,649,649,282,821,630,501,503,503,502,16,501,649,282,649,406,800,504,800,860,501,500,500,649,269,649,501,503,502,800,649,800,649,702,649,503,649,649,670,800,800,502,500,504,503,28,500,502,500,649,500,501,503,502,800,503,503,682,501,501,649,649,503,503,502,441,500,108,503,500,500,503,282,503,800,504,490,500,16,501,502,65,502,503,649,103,128,500,649,800,438,674,799,501,800,213,649,800,502,800,649,500,282,503,649,475,502,501,649,500,124,649,500,502,503,282,800,800,800,649,501,16,103,501,339,800,502,501,501,800,649,500,500,502,800,500,501,649,282,501,501,649,500,610,158,503,705,502,649,502,503,502,501,500,502,800,374,503,282,504,800,649,16,623,501,503,501,649,282,800,502,500,503,800,502,320,503,501,502,800,503,501,800,282,282,107,103,626,800,502,502,503,503,800,826,502,649,502,501,16,282,649,282,800,649,503,819,500,649,282,501,501,500,649,800,503,502,800,800,502,503,501,800,204,391,502,502,649,502,503,500,649,282,503,500,501,502,501,79,16,443,800,500,503,684,502,503,501,500,203,501,502,649,502,282,503,502,500,800,16,649,800,501,800,800,500,103,649,163,800,282,500,501,503,503,504,649,502,649,800,500,501,503,649,947,502,501,649,282,502,649,282,397,649,649,282,649,501,502,503,16,950,601,502,649,800,800,443,282,800,263,502,502,800,800,649,800,503,282,800,502,282,503,877,649,503,282,501,501,500,282,282,502,502,282,386,649,282,504,793,256,502,501,504,501,500,16,662,501,501,282,16,500,503,503,503,107,649,976,800,500,500,501,16,241,502,502,502,282,502,147,500,503,503,800,501,800,500,501,800,500,649,800,501,503,842,282,501,800,68,502,503,503,649,503,502,800,16,649,649,800,500,503,16,500,503,503,16,500,649,502,282,800,800,282,800,503,800,502,501,502,500,501,338,282,503,501,500,800,502,800,362,501,328,649,800,503,502,800,500,800,649,503,634,282,504,282,800,503,263,500,649,800,502,500,797,501,501,649,800,500,504,500,282,167,800,649,649,800,500,503,800,502,502,501,500,503,500,282,16,501,800,502,501,501,503,649,501,107,649,16,500,694,500,503,282,971,502,800,502,800,504,503,649,16,800,671,800,500,502,649,500,649,282,282,502,649,800,503,501,800,800,502,282,500,502,501,502,503,502,103,500,800,649,502,800,800,501,800,800,107,557,16,503,800,502,282,501,800,747,503,502,502,501,800,282,338,501,800,502,501,501,623,108,486,649,502,500,503,649,502,500,819,133,503,502,500,282,501,503,800,500,503,501,500,490,502,502,501,501,503,800,282,720,502,503,501,242,800,16,544,617,502,800,649,502,504,800,501,800,502,511,649,502,571,391,500,503,501,500,28,800,501,500,500,189,501,755,501,282,649,500,800,502,502,282,649,501,800,501,800,726,16,502,800,500,800,503,276,501,501,870,800,500,800,800,800,500,500,502,649,800,502,805,503,502,503,583,501,500,503,506,503,800,574,612,800,800,282,282,649,502,878,282,649,501,503,503,502,281,503,500,210,501,800,800,282,282,649,649,501,503,723,649,503,800,649,800,500,503,503,282,503,597,800,502,912,503,503,504,103,502,16,615,501,503,500,502,503,282,492,501,500,502,501,501,501,501,282,218,954,649,457,649,533,800,800,502,800,16,503,282,500,221,800,502,649,500,502,649,501,500,800,282,502,282,628,501,282,504,874,501,215,16,500,502,800,503,502,107,503,503,501,501,502,501,500,501,800,291,800,649,500,502,503,800,502,282,502,282,503,503,503,501,503,897,110,728,503,502,500,503,800,500,800,649,502,649,800,107,502,500,502,800,649,800,502,340,800,649,800,282,503,501,800,502,154,503,500,504,16,338,500,649,501,282,282,501,501,500,956,800,503,503,649,800,500,502,503,282,800,500,800,800,994,501,503,501,502,20,649,500,800,111,800,500,649,502,472,649,800,103,16,502,282,418,649,800,800,503,503,503,649,800,649,500,500,501,800,990,800,502,447,282,503,16,503,501,503,800,503,503,502,503,500,503,503,501,500,705,158,501,489,504,800,501,502,512,800,502,800,502,500,502,502,503,501,800,500,503,649,649,649,503,500,500,502,335,503,501,500,502,800,649,503,282,649,282,502,500,800,649,649,800,16,711,800,500,504,16,649,503,503,542,649,16,502,500,551,501,502,551,282,16,722,501,502,500,282,503,500,649,504,500,376,502,503,175,503,503,500,501,501,455,503,800,501,107,502,500,132,503,500,501,649,503,649,501,502,800,500,764,501,503,800,78,800,649,504,501,501,500,502,800,504,503,501,503,502,282,500,502,501,501,909,800,500,503,800,649,501,501,501,800,649,282,503,501,835,503,500,800,649,800,503,511,218,800,800,800,800,800,500,649,501,503,503,649,501,649,501,502,800,502,649,871,800,500,502,800,501,502,800,164,649,649,502,649,503,649,649,282,649,42,503,502,500,649,501,16,649,503,502,800,500,503,502,649,649,503,800,649,998,502,800,503,600,16,501,649,649,282,800,501,503,800,243,501,282,501,501,501,501,501,220,800,800,501,509,282,502,503,502,402,691,502,503,502,649,800,500,800,800,502,501,503,501,800,501,649,500,500,282,501,502,500,16,502,800,500,503,649,649,800,376,800,649,649,666,501,501,282,503,649,16,712,503,649,800,649,500,282,649,503,649,786,800,800,649,503,649,503,503,282,282,16,649,103,107,500,282,364,649,501,502,507,503,501,649,501,501,800,810,806,800,500,503,501,963,503,503,16,649,849,501,649,282,649,705,502,282,649,500,501,649,500,917,649,282,503,65,649,837,501,101,282,502,800,503,500,502,500,500,500,500,501,501,800,77,949,649,500,501,800,649,501,503,501,92,239,501,649,800,736,504,800,502,502,500,282,649,500,800,503,695,90,502,502,502,107,863,800,501,16,800,503,649,503,502,500,641,503,502,502,500,502,502,690,501,27,800,500,282,503,503,501,502,649,800,504,500,501,501,125,136,501,501,228,800,500,503,502,649,501,800,500,502,16,649,502,500,501,501,501,478,282,282,649,649,501,16,275,501,369,500,411,161,500,734,282,16,500,502,500,502,503,800,501,501,500,503,500,649,502,800,500,500,16,500,800,896,501,503,503,500,800,282,649,649,500,503,503,649,282,800,282,282,282,503,299,705,500,282,282,800,502,501,649,649,500,500,16,800,800,908,800,502,800,649,502,501,16,228,800,501,806,800,503,500,502,800,502,503,501,500,649,500,649,649,502,502,500,73,502,282,500,500,503,649,503,503,649,16,501,282,800,500,649,502,649,501,800,649,649,282,500,504,503,282,500,503,503,649,502,16,282,273,504,501,501,501,502,649,928,107,212,500,502,800,16,503,800,800,503,835,500,503,503,282,141,282,502,502,800,507,500,986,501,503,282,800,535,16,502,502,502,800,501,503,502,503,499,504,501,800,800,500,231,502,501,649,500,649,500,501,282,649,800,502,501,500,501,501,500,501,386,502,500,500,503,716,800,503,649,501,501,500,16,501,800,649,800,800,695,503,709,800,144,501,503,323,502,800,850,649,500,501,501,649,500,327,705,503,502,503,500,503,126,16,501,800,282,16,502,500,503,800,500,800,649,501,503,501,800,807,649,500,502,502,500,16,282,502,502,800,984,649,503,500,503,649,501,282,501,334,503,649,502,501,399,649,503,282,649,501,504,500,722,800,503,282,502,503,502,502,501,282,800,503,386,649,501,649,649,501,649,800,503,800,927,503,800,137,501,800,500,800,503,800,500,282,649,501,649,501,649,649,719,500,501,639,502,265,800,500,16,503,501,500,16,682,503,501,649,282,649,800,501,172,503,328,800,649,649,503,120,502,428,501,502,502,800,502,282,501,282,503,103,502,679,282,502,501,800,503,500,750,649,501,500,501,649,103,500,103,504,500,800,107,173,502,649,501,649,503,800,503,107,800,800,800,500,502,502,503,500,503,282,800,795,16,500,649,1000,282,800,649,500,282,503,800,649,649,800,501,500,649,500,502,282,501,649,842,461,501,800,501,503,504,282,500,502,500,649,681,800,16,560,501,649,501,503,504,649,501,502,500,501,649,497,500,502,649,739,800,502,503,649,503,501,501,501,649,183,500,501,72,503,649,501,500,502,500,800,500,503,500,649,649,800,127,502,500,502,501,16,501,937,527,500,504,504,282,546,500,17,800,800,500,502,503,502,502,800,501,501,502,500,282,16,649,504,800,191,500,800,503,282,500,503,501,502,249,503,501,500,500,501,649,394,649,502,128,16,501,500,649,501,500,500,501,16,107,649,502,501,504,282,500,800,503,500,500,282,502,800,282,820,502,800,519,409,649,965,501,649,384,800,800,502,407,282,910,800,270,501,1,282,501,501,500,649,502,649,500,503,503,16,649,807,282,500,501,87,649,502,773,282,504,502,282,501,501,800,282,501,282,649,649,107,501,501,282,800,282,649,502,502,649,501,386,501,501,501,649,800,502,503,501,503,74,502,502,649,649,649,800,649,282,282,649,503,164,16,501,282,800,502,800,502,502,502,500,16,649,500,800,502,500,649,503,501,649,502,503,944,503,500,501,286,502,503,377,783,282,107,503,468,500,501,649,502,501,504,649,503,294,649,500,502,503,500,502,500,502,800,409,503,107,503,501,502,649,503,500,800,502,649,16,500,502,502,800,800,503,502,501,16,800,649,32,500,500,649,282,282,500,16,282,282,501,858,266,503,501,800,500,500,502,928,800,879,468,502,800,500,274,502,649,503,481,926,500,16,781,16,501,800,501,502,800,800,705,503,103,800,500,502,282,649,501,800,649,501,800,503,800,282,686,502,502,800,282,649,503,503,649,503,800,500,503,649,16,501,502,503,807,282,649,16,503,501,961,282,501,503,800,502,502,503,501,502,649,502,282,503,800,502,649,282,234,501,649,800,282,16,502,178,503,800,504,800,800,282,503,503,502,503,500,501,649,649,800,502,500,282,502,500,503,649,649,800,501,807,649,440,800,503,649,501,500,502,501,503,282,501,501,501,503,502,877,500,503,500,501,501,501,504,800,800,282,503,649,500,455,503,162,532,503,500,500,503,800,504,503,16,501,501,500,503,501,373,649,649,649,282,502,503,260,649,282,642,502,800,501,649,502,501,500,800,649,201,503,107,502,500,800,282,649,500,800,503,503,855,689,501,501,649,502,504,800,103,16,800,800,701,800,649,800,282,244,502,658,503,649,502,503,503,649,282,282,693,500,800,43,800,800,695,800,500,800,800,800,649,503,464,649,649,500,500,128,503,500,501,800,282,502,503,800,502,502,500,503,103,500,649,800,501,282,596,501,502,501,501,282,500,503,503,649,503,16,503,678,500,800,649,501,800,502,190,282,501,16,745,282,968,500,457,502,649,501,103,503,502,800,649,500,503,649,500,503,502,501,500,282,500,872,61,504,503,16,503,501,649,357,503,805,282,501,502,503,500,649,500,800,503,282,649,500,282,15,649,714,16,649,500,16,503,502,649,500,649,282,502,800,502,501,501,282,501,500,500,103,501,503,501,501,503,768,705,502,503,282,500,282,800,103,504,649,503,500,502,501,501,500,629,500,500,503,504,649,501,594,503,503,800,501,503,649,800,649,502,503,501,503,501,501,945,800,649,800,504,503,930,800,294,502,503,245,762,649,500,501,501,107,501,502,501,649,16,501,503,502,911,501,501,16,649,16,502,503,501,282,502,839,500,501,800,649,501,694,221,649,501,800,833,649,649,800,649,282,503,502,107,800,649,40,500,501,503,501,504,500,500,800,800,503,500,500,501,504,141,617,501,500,500,500,502,502,501,500,649,501,16,627,800,500,649,649,649,396,500,940,500,501,107,503,501,500,16,484,800,494,800,503,800,500,502,800,599,501,380,649,500,554,800,108,649,500,501,72,16,502,800,501,743,502,800,609,800,501,502,502,503,501,502,793,414,501,500,649,107,503,12,503,649,500,800,800,502,376,800,649,885,800,502,16,800,107,218,501,500,502,503,800,800,503,800,649,649,255,501,500,649,503,501,649,501,800,707,503,500,503,500,502,502,282,502,941,282,500,501,502,503,501,282,502,500,800,503,282,503,581,282,618,282,501,385,500,649,614,503,800,501,501,501,649,500,949,649,503,649,500,502,501,503,800,502,500,500,501,500,103,500,502,500,502,502,103,282,502,800,501,800,501,649,800,500,800,503,16,547,687,649,800,649,724,800,500,800,649,649,502,649,501,787,504,502,800,501,501,800,800,815,503,800,501,500,502,503,800,503,501,649,649,649,649,501,503,503,502,282,502,502,500,501,939,649,500,503,503,282,800,503,502,636,282,649,502,501,649,649,503,800,503,800,800,502,502,503,282,503,795,503,500,502,683,418,800,282,282,649,731,500,649,107,6,503,502,395,800,649,800,16,282,502,649,503,800,649,500,504,501,336,503,282,991,503,502,465,202,501,500,649,503,649,649,282,120,500,649,282,503,649,16,500,282,282,504,800,525,502,649,7,501,835,501,501,501,649,800,16,361,649,501,800,643,103,800,502,503,879,502,800,649,649,502,501,500,502,619,800,290,97,501,649,503,554,503,496,800,759,500,649,502,800,503,500,873,649,800,649,503,803,500,901,282,503,800,500,500,649,501,699,502,502,257,800,500,938,282,649,500,282,503,649,502,649,503,282,16,503,649,649,500,124,649,282,503,500,800,500,503,500,57,730,502,500,500,501,502,649,500,800,502,501,503,501,832,16,800,503,503,500,503,500,500,503,296,500,501,282,36,649,503,800,649,585,800,503,500,503,500,503,649,279,649,507,500,282,500,800,503,500,502,500,502,800,584,500,502,282,282,503,649,502,405,501,502,462,503,649,649,800,649,500,501,649,282,504,958,107,500,503,114,502,649,800,649,800,503,501,501,503,500,503,893,503,576,649,501,464,501,502,501,503,800,500,500,503,282,893,649,501,502,503,649,501,226,284,800,503,649,282,649,223,282,649,282,530,800,649,282,649,800,502,660,649,502,441,855,503,501,500,569,649,500,503,504,503,800,500,424,502,502,500,502,649,649,16,649,503,502,502,282,503,500,16,502,500,501,800,282,649,501,503,501,800,501,800,282,800,282,338,17,649,649,502,188,501,501,649,501,503,500,500,16,970,501,500,502,800,501,73,501,503,649,16,649,500,501,500,671,649,649,16,16,501,500,578,501,502,503,649,649,501,517,455,500,502,282,800,282,502,501,649,502,502,800,649,500,503,800,800,504,503,513,501,649,502,502,501,503,503,503,501,315,800,899,282,501,501,500,103,800,103,500,502,282,503,501,503,503,501,502,281,503,800,502,502,502,107,502,200,800,303,501,282,317,501,501,649,501,800,800,502,800,503,800,854,501,649,282,501,503,501,500,503,502,98,649,800,100,501,501,501,502,649,502,500,503,381,502,501,800,500,649,611,500,857,503,500,500,500,649,649,800,501,800,800,500,649,501,706,504,502,500,503,501,501,415,649,800,649,500,500,16,500,500,808,490,696,500,800,530,649,502,501,777,501,504,500,649,282,500,800,800,282,649,500,649,649,500,649,502,502,501,500,649,800,442,503,395,501,800,800,500,649,502,649,501,502,232,649,705,649,503,501,649,800,138,649,16,502,800,502,180,504,502,500,502,501,502,501,282,800,500,197,502,800,502,501,503,503,502,282,393,502,501,502,502,649,500,500,800,502,502,501,800,649,501,918,16,503,800,800,282,146,800,500,16,503,503,925,282,502,502,649,124,501,501,649,993,502,502,282,413,502,503,501,500,589,649,282,800,502,800,501,649,501,501,800,500,947,503,503,501,501,503,143,800,501,769,800,800,800,503,649,503,649,800,501,16,501,649,800,500,501,66,649,501,501,504,502,504,16,500,503,781,649,502,502,282,503,502,502,177,500,800,502,501,502,501,282,649,295,800,179,501,500,501,649,649,502,800,502,437,501,649,500,16,500,500,501,503,500,282,649,503,500,503,800,237,649,302,800,16,107,282,282,16,501,501,977,538,649,501,649,649,502,504,501,649,649,107,501,502,503,282,500,500,501,501,500,502,500,282,503,500,503,597,800,693,282,503,502,215,500,282,501,371,500,503,282,649,500,501,501,282,500,800,800,21,502,649,649,502,500,500,430,501,282,500,503,504,673,503,500,649,800,282,800,282,500,501,800,807,503,800,500,800,186,503,503,649,501,800,220,500,649,503,503,800,440,504,555,500,649,309,501,208,501,502,504,649,500,502,649,282,282,232,502,800,501,800,186,502,649,502,649,800,500,503,502,800,800,800,800,649,16,502,800,501,282,107,501,800,800,500,649,282,503,282,503,282,503,402,637,500,282,503,501,503,649,502,282,503,503,500,501,500,500,649,970,503,500,500,500,281,16,800,503,503,800,501,800,502,501,800,502,282,649,649,500,500,503,800,502,474,503,649,504,502,502,501,502,282,208,649,800,500,598,501,503,503,705,800,282,500,500,934,649,501,800,500,649,803,16,502,800,16,500,502,500,503,136,501,16,800,500,500,503,800,500,649,974,148,500,501,131,500,501,649,649,800,279,649,635,282,504,800,136,500,503,502,818,500,503,401,462,649,500,649,501,503,501,502,429,282,800,503,502,501,649,807,501,502,800,500,282,501,390,800,282,501,503,16,502,649,501,800,500,501,509,503,502,282,502,691,500,503,649,282,977,282,501,502,503,503,502,500,743,503,158,16,166,502,500,282,502,107,502,500,500,502,800,500,501,767,800,800,503,800,501,649,500,502,282,333,361,503,16,471,501,435,501,800,500,501,929,502,825,282,503,500,800,500,503,500,503,500,500,500,66,16,501,500,649,649,501,649,800,501,800,649,622,649,800,503,503,800,501,800,502,16,503,500,282,501,130,502,503,500,500,501,503,502,500,503,705,282,649,282,282,800,502,649,502,649,649,974,503,282,649,500,502,800,503,501,501,649,504,504,503,315,585,800,500,282,800,502,501,649,501,501,800,649,503,501,503,649,502,800,502,501,500,282,800,282,502,500,502,502,649,504,502,649,500,282,504,800,282,502,282,649,649,282,501,107,282,502,500,649,800,649,503,501,503,800,503,501,502,649,800,501,500,503,800,503,500,800,500,649,649,187,16,649,501,800,501,282,282,501,899,649,502,502,649,800,800,502,282,797,124,282,16,760,501,282,649,649,501,504,649,649,800,800,800,500,841,282,503,649,503,16,500,800,649,16,503,800,282,649,502,282,649,705,16,503,503,502,800,16,800,501,502,502,501,282,501,503,503,500,500,503,16,16,501,503,501,503,502,800,503,282,603,501,500,282,649,501,504,503,501,504,502,501,503,503,502,649,500,800,501,233,501,800,503,501,868,716,649,504,500,503,143,500,33,376,800,440,501,503,503,800,800,872,502,456,503,503,500,502,331,501,500,504,649,800,500,502,153,16,503,282,500,501,501,500,500,502,649,649,502,649,500,501,649,58,156,282,502,103,500,503,282,306,503,500,649,444,502,503,501,503,800,649,501,800,500,800,502,502,501,649,282,800,500,500,500,800,503,800,800,125,282,503,800,502,989,503,800,4,503,501,500,800,500,503,406,502,581,800,502,502,796,503,501,807,16,500,502,502,504,649,500,649,800,649,503,500,299,800,503,985,501,502,503,286,502,649,802,500,649,501,800,502,800,502,285,668,501,502,800,553,800,502,107,800,502,504,501,502,500,503,501,501,800,604,800,258,49,503,649,503,503,502,649,16,54,501,501,502,649,501,503,503,282,500,500,9,800,502,103,649,503,800,800,649,502,800,502,502,500,502,500,649,500,500,501,800,500,800,501,649,501,800,501,500,131,501,649,439,504,282,503,282,478,503,742,800,282,500,502,503,502,501,800,500,800,502,649,830,800,800,500,502,502,16,503,501,500,501,500,800,501,503,501,800,503,560,503,503,503,502,649,500,501,502,800,502,16,282,649,800,800,825,502,649,800,649,503,502,502,503,500,503,16,16,649,502,649,800,800,460,800,503,503,500,16,118,500,649,502,501,503,103,871,800,502,502,800,591,501,503,503,500,503,800,503,501,658,800,502,800,800,228,503,282,500,503,800,500,116,892,500,800,751,800,502,501,800,282,649,800,800,503,504,800,502,502,800,501,502,501,502,502,649,282,502,501,502,800,502,500,502,786,649,649,649,16,503,500,283,500,451,649,501,949,502,649,800,500,500,649,500,649,649,500,800,502,800,501,500,649,282,500,800,649,500,194,800,501,525,282,503,649,500,649,500,282,179,800,502,282,503,500,500,500,463,502,800,501,940,103,800,502,16,503,801,649,500,503,501,9,503,501,105,503,502,649,501,649,500,503,800,649,503,503,800,502,649,503,503,649,500,503,500,649,502,503,501,725,282,282,282,800,502,501,501,337,500,649,501,500,16,705,190,502,16,503,282,282,500,501,800,500,649,282,800,282,501,16,282,800,502,500,502,649,649,502,500,800,504,800,800,501,502,800,800,800,503,501,780,503,503,501,16,502,18,413,225,940,800,649,501,705,501,503,636,502,504,282,502,500,800,649,282,503,502,800,500,503,500,649,800,503,807,500,945,649,16,77,503,503,649,904,906,800,500,649,501,501,649,282,649,503,800,800,503,500,649,103,503,502,649,501,477,502,800,800,502,500,649,16,363,589,502,800,800,649,501,649,502,500,503,501,107,502,503,504,500,800,649,501,503,503,983,608,931,800,282,500,282,649,500,500,649,800,760,282,501,589,500,503,800,503,689,503,500,501,501,759,800,649,502,500,16,500,282,282,502,503,528,800,16,502,405,103,800,501,282,39,649,503,503,501,800,501,282,800,501,502,649,501,649,649,502,282,503,500,649,502,501,502,649,500,503,503,503,500,503,503,501,500,175,202,500,501,800,503,503,675,410,502,807,500,502,502,500,649,500,503,800,500,219,800,93,746,503,500,500,800,501,503,458,131,502,282,649,800,501,282,649,282,355,800,282,17,651,503,342,500,500,503,502,282,851,500,500,800,800,282,503,649,501,502,282,800,917,501,504,800,282,649,501,503,503,502,500,502,800,800,503,502,500,501,649,503,282,649,503,502,502,649,501,827,503,649,282,500,372,282,502,282,649,805,502,501,706,282,503,64,503,501,501,666,501,649,829,501,502,800,500,800,649,649,800,502,649,49,500,100,502,501,500,501,649,800,501,649,759,107,800,503,503,800,502,548,500,502,502,800,500,764,501,503,649,800,649,501,504,503,649,16,395,649,649,62,649,800,800,294,503,282,502,501,500,649,500,502,500,282,800,501,503,372,502,503,800,603,103,502,500,63,467,800,503,107,502,500,715,500,501,800,223,500,502,649,649,649,502,649,503,800,501,282,501,282,649,649,503,649,672,107,502,282,502,428,502,800,502,503,277,16,501,502,503,800,649,800,503,501,608,721,500,800,649,282,501,807,503,800,649,800,503,649,502,649,500,501,16,800,282,800,502,282,500,406,500,649,16,778,501,624,500,500,503,800,319,800,503,800,503,800,502,501,503,282,503,309,501,16,649,424,502,503,502,16,503,800,500,501,502,501,649,501,503,282,800,943,500,503,800,800,183,500,800,503,500,500,500,500,503,369,800,500,649,502,800,501,282,501,501,500,503,800,501,500,501,504,501,16,800,501,150,649,502,501,938,501,502,800,504,501,786,649,800,649,500,501,800,433,800,503,800,800,881,501,503,502,800,282,503,501,649,500,282,502,282,800,800,501,107,502,500,800,500,502,800,214,501,501,649,282,501,800,521,500,500,504,649,500,501,649,501,502,752,500,501,649,503,282,282,500,649,500,282,502,800,500,107,728,501,503,764,649,503,501,503,503,800,800,282,503,649,502,503,282,800,649,502,502,502,501,502,501,800,16,955,501,800,240,800,500,501,503,356,500,503,504,649,443,649,282,282,800,227,503,282,800,649,742,693,502,501,500,500,500,703,107,502,500,502,500,200,502,738,500,51,16,130,502,16,649,16,502,501,502,649,503,800,504,500,282,503,500,800,502,282,501,501,649,500,800,649,282,500,503,501,502,501,500,503,501,666,502,800,800,503,282,282,501,500,800,649,500,649,500,502,800,194,569,800,800,16,503,921,649,502,447,503,649,649,800,649,501,502,308,503,16,157,884,16,503,502,500,649,503,16,800,501,503,503,503,399,800,649,914,521,282,649,500,500,649,16,85,503,500,504,503,503,503,282,404,800,500,800,503,649,800,282,503,103,573,800,800,502,589,501,749,649,103,807,649,282,649,500,649,501,327,835,503,500,502,502,742,800,624,502,800,501,649,112,282,649,800,501,503,503,502,500,649,624,500,501,504,503,711,16,649,764,501,282,303,977,649,649,722,503,503,503,500,230,500,501,500,501,501,502,613,800,502,501,649,282,800,501,502,503,649,500,107,500,501,500,885,501,500,501,282,500,501,16,502,501,503,503,800,503,500,720,502,501,800,502,501,649,503,800,649,500,649,380,649,501,503,800,503,81,500,502,501,649,257,501,282,500,800,501,503,649,649,282,502,649,800,503,800,500,502,649,649,502,649,16,16,502,786,502,501,649,188,501,503,649,500,502,16,503,504,649,501,649,500,649,500,800,800,649,800,290,649,501,501,501,487,501,649,800,502,514,800,143,500,16,502,649,501,649,649,504,800,282,595,504,501,501,503,503,501,800,800,501,677,649,502,282,502,649,800,800,649,649,16,800,420,500,500,501,500,649,503,503,50,800,501,16,503,800,502,502,500,800,501,649,500,504,502,649,502,501,800,502,503,500,337,800,800,502,503,501,502,16,505,500,501,501,502,601,503,502,503,242,649,503,800,502,501,500,500,800,282,282,800,649,282,503,500,503,800,500,800,466,501,502,501,282,649,649,503,234,800,504,458,521,649,909,649,183,8,503,500,501,501,649,502,649,501,500,502,522,649,282,282,649,502,501,102,500,501,649,800,649,501,649,649,502,501,501,502,649,503,501,503,800,502,501,649,800,646,800,649,800,501,500,502,501,502,501,939,501,501,168,502,500,503,16,502,649,501,503,501,800,502,500,501,503,502,503,800,800,807,800,500,503,502,800,282,502,649,500,580,800,501,500,501,500,502,800,800,282,500,800,500,800,800,649,503,503,503,649,282,103,501,800,501,649,502,502,503,502,501,503,500,282,654,15,649,502,800,502,502,800,503,503,504,500,649,649,501,800,332,649,16,107,358,649,680,800,649,282,16,503,282,502,388,502,501,502,503,100,501,164,503,800,649,501,503,800,501,800,501,16,503,396,800,500,501,501,502,649,282,501,107,824,503,800,6,503,501,649,501,282,500,503,649,649,630,502,800,804,500,501,503,500,649,800,502,501,503,503,979,500,501,503,500,502,16,503,503,649,638,282,16,800,500,396,503,800,649,16,649,504,800,503,502,400,800,800,649,649,800,649,649,16,649,502,219,203,500,649,502,504,503,800,800,503,500,501,501,500,822,649,800,500,503,502,800,461,501,500,800,567,282,800,800,502,500,649,502,335,500,501,501,649,501,649,2,500,649,430,500,501,503,839,503,501,502,800,500,800,501,502,800,502,811,800,800,649,16,500,502,335,800,503,503,501,282,649,503,501,214,503,282,800,16,502,233,501,195,800,501,500,503,649,282,500,501,501,504,502,503,503,606,503,800,504,16,282,501,800,282,500,649,503,500,217,502,649,501,800,729,503,503,502,503,500,649,503,504,649,500,500,501,503,649,800,649,502,569,649,500,500,501,649,503,195,500,503,503,501,649,649,504,649,649,321,282,50,502,800,215,502,502,501,503,649,800,649,501,951,800,500,464,503,16,282,500,502,504,34,369,760,503,800,503,500,228,502,502,649,282,800,800,107,649,500,501,727,501,649,501,800,649,800,649,503,502,500,800,502,503,500,800,308,16,800,501,500,103,649,502,649,649,800,502,501,16,800,503,501,107,504,503,501,399,587,503,501,107,500,501,502,129,503,504,504,649,502,16,649,502,649,500,500,800,766,500,16,502,503,500,649,800,502,501,213,649,800,107,503,541,501,501,503,649,501,501,503,501,95,501,800,500,16,649,649,800,109,502,576,147,282,282,500,503,502,592,649,501,927,924,800,649,282,503,502,503,503,500,500,649,471,502,800,501,500,501,503,501,649,503,886,649,16,649,500,503,500,501,649,502,180,503,501,649,649,649,502,502,16,649,501,800,501,500,503,183,503,16,282,800,649,501,502,501,503,500,501,672,220,503,649,502,503,649,904,504,500,354,500,501,701,800,500,282,282,502,501,16,502,503,323,16,156,800,800,649,501,649,800,800,503,28,500,800,500,503,500,503,501,988,872,503,103,503,800,504,503,282,501,502,649,649,502,649,500,800,502,501,800,649,800,649,525,800,500,649,917,649,138,503,800,500,503,503,800,500,502,282,800,501,502,309,502,501,501,501,800,894,649,504,649,800,502,452,501,16,501,800,800,500,282,649,649,500,501,116,800,504,503,649,394,503,16,649,503,649,800,501,649,501,502,503,649,99,120,502,503,504,649,800,837,282,649,649,502,800,502,503,800,270,502,500,282,800,282,649,800,881,282,521,502,282,800,800,502,500,800,107,649,501,800,500,503,500,503,503,282,501,502,649,500,66,248,503,501,630,282,282,502,29,649,503,282,501,503,500,500,800,16,500,501,800,800,649,500,800,800,206,503,282,504,502,501,503,649,502,649,502,502,502,500,502,649,502,500,502,800,337,123,800,488,503,354,649,502,501,282,800,282,107,649,800,501,501,503,16,282,649,800,504,501,906,800,16,500,502,504,503,123,649,107,501,502,649,800,16,649,500,800,282,649,196,501,649,500,503,500,940,502,800,503,649,502,282,298,800,649,502,353,800,807,501,16,501,282,334,875,649,501,649,604,649,16,500,502,502,409,500,502,164,501,800,800,800,800,501,16,501,500,501,649,800,16,649,503,710,649,649,502,503,16,282,649,501,500,800,500,501,800,320,500,294,500,282,649,500,16,16,500,501,16,16,955,917,800,16,70,502,500,503,341,649,282,500,138,502,501,500,103,502,800,501,800,566,800,282,503,501,501,282,649,611,501,800,649,613,503,800,502,800,451,282,502,502,649,504,501,16,667,666,500,500,337,282,500,649,649,500,502,501,502,502,502,830,503,800,503,503,502,500,36,800,501,152,500,800,503,501,282,800,649,503,16,800,124,500,16,800,501,282,282,107,500,503,282,503,501,504,103,148,282,503,502,501,800,282,282,502,103,700,282,501,68,501,649,501,282,500,500,500,558,649,501,800,502,444,92,649,649,502,501,503,282,800,501,500,107,649,502,503,649,16,501,502,501,500,502,649,800,503,500,502,649,501,500,503,649,908,503,800,501,503,800,500,16,103,500,503,649,501,800,503,503,501,500,800,502,800,503,501,147,649,800,501,282,649,16,481,501,282,649,500,800,501,800,282,800,455,396,503,282,213,588,649,847,500,800,800,649,649,282,500,282,800,16,282,282,503,503,848,16,500,500,593,1,649,800,800,501,721,501,503,649,492,282,282,502,649,500,800,500,604,800,501,504,800,282,501,84,282,503,800,134,649,682,501,502,500,500,649,103,800,886,502,503,338,503,503,502,501,502,503,501,282,800,800,503,500,16,501,282,261,503,290,649,501,800,501,282,649,336,800,500,581,853,800,503,501,649,45,16,800,935,503,530,16,282,649,566,503,282,502,497,800,502,502,800,107,502,649,800,500,649,502,503,502,282,649,502,501,649,103,502,502,503,703,501,501,503,502,503,500,16,500,282,800,800,501,501,503,16,557,503,500,649,800,503,282,500,503,500,502,503,282,649,502,503,500,501,117,500,927,501,503,16,503,649,282,502,501,501,226,157,16,282,570,501,27,503,56,611,509,800,800,649,800,501,502,649,502,502,502,649,501,502,800,107,500,503,800,800,500,649,649,503,502,817,800,649,500,503,800,501,502,800,649,503,500,503,501,502,282,282,800,501,649,500,503,501,649,500,501,377,502,503,503,450,501,282,501,282,282,649,503,620,503,503,500,800,107,649,502,152,501,165,800,282,501,501,503,503,502,502,700,413,503,282,500,800,501,800,502,501,501,500,501,282,800,503,800,282,282,680,501,502,803,282,501,502,107,502,500,395,503,103,649,500,16,501,800,503,649,332,503,800,503,502,193,128,649,343,649,503,452,800,500,602,502,649,502,503,16,503,694,500,800,800,868,501,503,500,16,282,800,649,502,503,503,500,502,800,800,500,109,649,502,649,501,649,558,282,16,503,649,502,501,649,599,502,649,501,503,282,500,502,501,16,649,502,649,502,500,649,501,827,279,502,800,500,532,502,282,107,800,502,800,500,502,500,503,500,282,500,800,503,16,500,649,16,501,800,500,800,649,941,800,282,502,800,174,430,282,649,502,503,501,649,503,824,668,800,800,501,503,480,502,348,803,502,496,282,502,649,282,502,503,500,800,16,500,649,287,831,503,649,500,502,501,811,649,282,502,649,282,800,649,649,500,800,354,126,800,501,501,649,500,649,649,649,502,501,649,800,500,503,98,501,800,500,649,612,503,649,502,649,501,504,649,649,800,500,282,800,501,500,219,502,649,502,800,705,500,649,501,503,608,800,501,503,282,649,502,649,500,500,502,502,814,501,758,649,649,649,800,500,384,800,800,358,16,930,903,502,500,957,503,502,500,800,282,500,501,502,893,649,800,500,500,800,800,282,299,503,502,501,800,649,502,649,500,800,502,649,502,503,500,800,16,800,282,503,500,503,16,103,649,800,649,500,503,504,501,502,503,502,503,501,500,987,800,502,502,502,800,649,282,502,800,649,501,649,649,500,445,500,985,503,100,500,503,649,800,502,500,502,282,501,503,282,419,501,501,34,649,501,502,282,279,500,503,500,282,282,503,500,502,800,502,649,800,503,502,502,800,649,502,803,800,282,800,800,380,482,502,282,649,501,800,503,16,16,500,503,282,500,649,598,501,917,800,501,213,504,282,705,500,432,501,502,552,152,502,796,503,282,501,282,503,500,16,16,235,1,649,800,800,957,502,501,884,502,443,649,503,649,502,282,649,800,800,501,524,487,871,488,261,500,500,503,800,503,501,501,503,500,503,500,500,919,521,500,282,800,501,502,502,503,800,800,502,501,502,107,502,348,649,800,503,800,501,649,800,502,649,500,16,649,16,502,800,504,500,502,103,282,500,282,136,502,503,502,502,919,800,800,503,282,503,282,503,502,800,280,503,649,502,649,282,502,502,501,800,501,503,282,649,800,800,282,800,502,501,16,649,355,500,649,800,500,503,500,502,800,502,504,800,502,503,502,501,501,501,503,800,654,501,800,649,16,6,501,502,649,407,858,503,771,403,500,800,501,282,318,502,501,500,800,800,538,282,502,500,502,547,501,501,649,107,502,501,282,502,503,649,107,501,503,3,800,261,502,502,501,649,501,501,800,502,503,809,503,800,649,774,708,501,501,16,649,502,800,500,500,756,649,800,800,621,649,500,314,501,503,502,800,807,501,503,502,649,503,500,502,800,503,282,502,501,800,501,500,800,501,649,998,502,500,503,500,923,800,502,501,501,500,501,618,500,502,502,800,500,501,500,503,800,16,500,470,503,502,16,501,501,501,800,649,503,502,470,16,649,724,500,800,335,649,502,500,649,500,800,504,649,636,649,800,649,503,800,282,249,800,502,282,502,282,649,502,503,221,502,500,500,282,282,500,503,501,500,501,502,282,800,16,500,504,501,500,500,501,940,282,282,282,282,500,503,502,282,800,800,282,649,282,502,282,502,502,501,327,502,16,501,501,282,649,800,649,503,282,649,107,800,649,282,500,649,501,649,205,649,649,866,500,503,16,800,16,500,705,332,107,800,500,800,501,800,649,649,502,516,781,282,282,800,502,800,536,16,501,67,502,800,503,502,947,504,800,502,282,282,502,800,800,501,500,503,800,500,501,503,649,649,502,503,35,169,501,502,500,824,503,503,282,649,501,500,501,649,503,778,800,282,501,822,502,807,16,824,502,649,503,800,501,500,502,502,184,800,800,800,502,502,500,800,502,453,503,282,282,502,503,500,282,540,923,502,502,503,501,500,948,649,503,867,501,502,500,649,503,501,282,502,282,649,649,649,504,649,649,502,22,501,502,502,502,16,500,501,649,649,800,800,800,502,800,504,696,282,107,981,502,96,649,649,800,107,502,503,282,800,502,500,649,503,500,879,100,800,649,282,503,16,649,502,500,500,649,503,503,500,649,649,282,503,962,501,503,282,898,800,649,500,388,649,800,649,800,502,501,800,501,100,500,791,282,501,500,501,501,500,721,800,649,705,282,282,649,386,501,503,649,282,501,442,501,503,649,501,502,503,501,282,157,503,634,282,502,649,504,503,376,500,800,502,501,501,800,649,502,649,502,107,501,282,503,501,500,546,503,504,502,500,501,649,649,649,501,16,503,503,501,649,800,800,501,43,503,83,502,237,501,502,503,501,503,503,649,475,375,502,503,649,502,501,751,501,649,503,800,282,500,502,641,503,501,502,501,800,501,502,649,16,457,500,501,649,502,649,800,801,502,502,649,501,800,649,503,501,16,649,501,800,800,500,503,503,501,500,500,500,800,501,82,504,503,500,502,800,501,800,500,122,502,501,800,501,649,282,800,800,16,501,500,282,282,500,649,502,503,952,501,439,800,282,800,800,282,107,500,500,107,501,502,501,446,500,771,502,503,244,107,501,502,504,649,502,502,164,16,800,649,500,500,502,649,501,282,290,800,501,282,649,573,503,181,282,656,113,503,820,503,501,42,649,503,649,282,503,360,502,282,503,800,500,500,282,649,127,502,800,502,501,503,282,16,186,10,579,282,599,107,501,282,641,504,504,16,16,649,800,638,800,501,800,500,501,500,888,500,649,649,502,501,638,649,649,800,500,282,501,800,837,502,282,649,501,800,501,800,800,800,500,800,282,885,503,501,800,209,501,503,649,649,500,503,500,502,649,501,649,649,649,16,503,500,649,800,488,649,649,649,800,800,649,502,501,567,500,500,649,503,649,282,771,500,649,618,504,502,800,503,800,502,500,501,503,501,800,502,502,442,501,502,649,800,16,500,502,289,503,282,501,16,501,719,503,502,800,16,501,16,649,500,503,649,413,282,501,502,503,649,800,503,503,47,504,500,800,503,649,282,649,800,800,800,30,649,500,649,649,503,800,503,501,649,174,503,107,649,800,501,503,500,502,503,649,800,502,649,501,503,501,501,503,502,503,502,501,500,282,503,800,800,503,241,282,800,407,500,500,500,649,800,649,800,501,500,501,500,503,680,502,649,503,501,500,164,502,502,800,800,800,503,649,861,502,282,504,500,807,501,800,649,500,502,501,822,502,501,12,800,16,502,502,501,16,649,800,502,501,180,501,16,503,282,800,649,194,282,501,800,649,800,502,649,501,649,502,501,204,502,504,503,848,500,502,800,503,502,649,800,503,503,503,649,800,282,649,503,503,500,113,501,500,800,501,649,588,503,503,800,500,649,897,501,502,502,800,649,502,503,649,800,800,282,503,500,467,649,500,649,800,502,800,502,501,503,649,876,800,502,800,503,780,949,503,800,929,500,501,500,503,800,502,503,503,282,649,800,502,649,282,800,800,500,881,503,501,610,500,385,224,502,500,649,500,800,800,503,502,500,503,282,649,500,500,501,434,502,503,945,500,282,503,268,503,503,501,500,501,282,649,503,282,500,800,500,649,502,282,649,282,800,500,502,710,800,649,845,800,501,504,500,649,505,282,800,649,107,501,282,282,501,502,649,503,502,501,573,800,500,16,502,800,649,16,16,649,503,500,503,500,501,502,68,503,501,503,502,500,500,501,800,503,774,501,500,800,800,649,500,705,16,800,649,501,889,417,503,692,649,500,282,500,649,580,800,500,649,557,502,502,649,502,649,800,800,649,500,503,649,16,800,255,500,501,501,39,501,500,500,503,501,501,16,500,16,501,649,502,501,502,502,365,502,501,501,500,282,800,500,126,501,502,502,501,500,649,800,800,551,502,649,503,500,556,649,501,503,800,503,649,503,800,800,500,926,282,800,502,978,501,282,500,800,800,649,501,649,502,16,503,500,501,500,502,108,800,503,502,500,504,282,503,282,11,16,800,649,437,503,649,501,500,500,16,501,16,649,649,766,649,800,500,649,503,503,500,502,500,649,501,649,800,861,16,800,800,503,800,800,16,500,502,501,649,649,500,500,501,500,501,502,823,502,43,500,500,705,800,800,503,500,501,503,828,503,800,649,649,502,687,649,503,649,500,800,16,282,503,717,282,501,500,501,649,800,502,503,649,500,800,503,800,504,800,606,800,502,282,503,649,102,501,501,649,553,502,503,500,500,649,500,504,800,800,772,16,500,800,503,502,502,649,503,501,800,649,503,649,800,985,500,501,500,800,649,16,282,503,504,503,800,699,502,503,503,282,500,800,503,503,800,500,649,117,501,502,500,500,398,10,282,500,800,501,500,394,503,501,501,107,500,503,502,503,502,501,502,282,649,16,992,501,503,502,500,502,502,649,501,500,878,500,649,522,502,649,800,800,800,649,649,503,800,501,649,502,502,502,800,502,502,488,800,519,500,800,501,503,503,649,501,649,501,800,501,800,649,920,303,942,282,394,282,501,649,502,501,501,503,631,502,649,503,500,649,16,503,688,282,649,502,502,501,501,488,502,800,16,800,500,503,501,649,500,501,501,906,649,502,502,503,649,649,649,649,649,800,501,859,503,649,282,800,501,282,502,100,503,500,501,800,107,800,282,800,501,626,800,375,500,828,800,649,649,909,282,503,649,502,282,800,500,500,501,502,503,800,500,503,800,16,502,800,503,282,503,501,263,494,500,649,532,501,503,107,452,500,800,501,500,16,503,501,649,282,16,800,282,501,544,503,800,649,282,798,796,502,16,282,502,500,500,649,649,500,181,502,800,800,502,504,800,800,129,501,938,187,107,502,500,502,502,649,501,624,800,81,988,16,800,500,800,800,649,500,649,502,16,501,500,16,502,503,282,649,649,503,503,503,404,501,447,800,282,502,649,501,502,500,649,474,502,503,502,501,649,503,282,501,502,501,800,501,500,500,800,503,16,282,282,502,500,682,16,649,502,800,502,584,501,503,502,800,649,282,502,282,501,649,5,500,282,397,502,500,503,10,503,503,16,500,16,282,282,501,282,649,502,501,649,501,502,16,649,474,500,800,500,113,800,502,282,649,649,502,502,501,503,16,649,503,800,504,502,800,502,103,501,282,800,500,800,501,501,500,800,503,649,893,16,500,503,501,502,347,500,282,501,501,503,199,649,57,501,500,16,793,501,328,649,729,107,282,504,502,502,800,500,874,500,503,800,643,501,278,500,462,502,500,800,602,318,502,779,500,500,500,649,84,501,514,500,996,500,501,500,502,503,649,711,148,370,649,649,501,649,800,649,800,16,800,424,800,500,649,649,502,16,502,250,503,503,800,489,501,800,800,502,800,501,501,587,282,800,501,649,649,501,649,800,649,881,282,71,504,649,500,633,282,800,501,263,502,501,649,501,649,107,501,590,502,500,503,649,500,502,800,649,672,501,282,282,790,504,504,500,502,500,649,800,487,500,503,503,502,800,500,502,503,466,502,971,16,731,500,501,649,502,416,16,502,18,282,934,501,500,500,500,16,800,500,649,503,649,800,154,282,501,649,502,502,501,649,649,800,500,502,580,800,153,503,649,282,503,503,922,504,384,649,649,501,500,282,16,500,164,503,16,800,282,649,649,501,649,503,501,502,501,649,800,649,501,502,800,649,649,503,649,503,800,500,501,16,800,501,282,800,16,766,800,502,500,503,500,502,503,503,503,553,800,503,500,649,502,502,504,282,503,800,500,501,503,294,649,503,800,503,504,500,501,540,502,845,282,16,754,504,501,504,503,514,649,800,649,800,502,603,500,438,500,103,800,501,502,16,504,800,500,501,503,649,501,500,957,501,502,500,15,503,76,800,502,800,282,800,800,501,500,500,662,822,503,502,500,800,502,649,500,287,282,324,649,73,286,649,502,503,503,503,595,500,501,500,649,649,503,953,501,500,502,502,500,282,282,501,502,501,502,649,501,16,502,500,501,649,649,503,503,503,503,502,501,503,502,502,502,653,501,672,282,649,649,503,501,282,649,800,501,503,503,500,501,500,16,504,16,649,501,502,501,501,501,800,500,800,282,16,503,501,529,649,175,800,786,800,282,500,649,501,497,784,375,282,500,649,504,501,503,800,800,500,649,800,502,538,502,500,500,500,760,502,800,282,16,282,920,649,500,502,800,500,800,503,848,649,501,502,501,282,502,500,502,500,649,503,502,503,500,500,82,502,500,800,839,501,502,282,649,503,107,103,502,16,800,649,772,649,649,649,800,503,503,800,501,503,500,649,500,474,800,649,500,501,502,800,500,502,800,800,28,501,501,649,503,502,800,503,800,282,721,501,501,16,501,488,800,649,500,785,503,282,500,800,649,107,501,750,501,800,29,502,500,501,649,503,649,800,282,500,500,649,800,503,282,59,500,501,501,500,649,500,503,500,502,500,74,282,800,501,500,503,649,501,800,502,502,649,502,501,800,164,501,500,501,649,503,503,500,282,503,500,282,800,502,501,502,503,503,800,500,502,800,500,752,649,500,502,649,649,800,500,500,502,500,501,880,503,442,501,500,502,282,500,649,500,503,800,502,503,503,503,500,500,800,500,649,503,166,282,500,500,649,502,418,16,649,536,649,501,503,282,502,503,800,501,649,502,501,422,503,800,649,223,501,649,800,500,800,282,504,502,502,800,549,504,504,106,503,84,501,800,504,503,503,502,504,800,920,501,649,501,503,500,501,649,649,282,501,501,800,501,503,16,501,503,500,649,501,503,503,16,502,306,503,503,16,502,282,503,500,500,800,503,501,282,231,500,977,502,639,649,503,502,502,502,501,500,501,501,800,649,503,800,501,502,500,502,500,649,502,800,501,502,282,502,380,503,379,500,657,501,800,107,502,502,282,800,502,500,503,879,103,271,502,502,502,500,502,395,502,282,501,282,282,501,649,500,503,282,800,501,649,267,503,503,800,282,503,503,800,649,500,502,500,649,502,500,503,649,649,502,800,501,500,282,624,501,800,649,282,502,649,503,504,16,502,282,800,500,649,501,503,500,502,503,503,500,501,503,501,503,502,503,500,800,682,854,502,16,649,839,502,213,503,500,282,16,500,500,282,500,53,501,501,800,500,649,502,28,800,502,504,800,649,16,282,500,16,502,649,502,503,500,502,500,501,649,16,649,800,500,548,502,500,502,16,503,649,800,501,649,500,649,649,502,500,503,502,649,282,503,649,502,501,503,500,503,503,282,820,649,649,649,502,501,502,502,503,800,649,414,502,502,800,16,500,501,800,649,649,282,143,503,503,800,500,503,503,500,649,500,500,649,293,502,649,649,502,503,500,282,800,888,503,501,649,503,649,502,502,502,503,16,502,800,502,107,502,800,36,500,502,282,502,500,501,501,800,796,904,503,800,649,649,804,282,108,502,403,503,502,649,649,500,503,502,649,800,500,649,501,500,501,502,500,16,502,282,800,503,503,800,500,352,501,800,385,800,501,831,503,800,800,502,500,282,282,500,649,800,500,147,800,500,502,16,501,502,502,502,504,501,649,502,500,16,575,800,800,501,504,874,282,501,800,800,282,800,503,800,800,649,501,16,800,649,852,503,500,103,899,503,282,500,282,649,649,800,501,500,103,16,500,501,502,170,502,867,502,502,501,503,503,649,800,503,501,36,502,649,500,500,501,649,649,649,502,282,282,501,649,336,107,649,649,100,800,500,16,800,503,800,800,649,649,503,282,130,502,923,500,500,500,800,649,649,800,800,747,501,752,282,502,673,500,649,800,62,107,800,282,500,501,282,503,649,423,800,800,500,501,501,282,886,282,501,800,501,649,503,500,503,502,282,501,649,800,502,501,500,94,500,503,500,504,503,649,500,503,501,800,500,649,630,800,41,503,502,649,501,800,502,107,153,500,500,503,649,282,282,503,501,502,500,649,500,501,16,887,500,876,501,16,503,502,500,500,649,502,501,503,800,501,649,503,502,502,282,500,800,800,503,503,502,503,502,800,800,800,502,264,203,500,282,503,800,692,503,502,503,649,500,868,502,501,501,501,502,28,305,437,649,502,800,502,16,502,502,501,285,500,879,500,282,800,649,649,649,649,503,800,502,501,502,504,282,503,677,500,501,502,282,649,800,800,500,503,503,500,800,642,649,500,501,500,502,800,800,649,107,500,649,500,649,282,502,107,501,501,502,16,503,265,649,800,282,500,800,501,503,500,16,501,501,282,501,501,501,608,500,840,800,107,500,649,503,649,503,500,502,649,500,800,800,958,502,649,500,502,504,500,501,920,800,16,800,604,500,503,504,16,16,502,800,355,800,649,585,282,800,800,800,567,502,502,500,502,989,500,282,979,501,501,800,501,503,282,864,501,107,679,16,503,649,502,502,503,800,500,800,16,674,800,501,875,504,940,502,282,501,282,500,502,501,500,500,649,800,800,500,800,649,800,500,503,649,503,800,503,503,503,501,649,502,502,500,501,502,503,502,500,16,501,282,501,502,500,800,282,500,502,501,800,500,502,930,282,800,500,175,501,800,649,503,800,501,601,800,649,107,500,649,800,282,593,800,282,16,503,503,649,502,503,503,502,500,987,16,503,174,800,995,501,501,500,503,879,649,649,800,503,800,503,502,649,502,501,282,500,501,649,504,501,501,800,400,500,649,501,500,501,649,800,503,649,282,649,282,800,800,626,649,504,16,282,501,502,649,800,503,800,649,501,501,649,956,282,800,200,502,282,124,800,649,649,637,282,649,800,500,649,503,502,503,649,500,504,649,501,502,501,500,501,800,500,501,649,649,282,649,502,282,282,16,649,501,502,502,649,336,502,500,501,800,501,800,80,503,120,800,502,500,800,323,500,500,502,649,282,103,800,649,800,503,500,503,503,649,502,502,504,282,503,501,800,500,282,501,501,282,500,649,649,839,502,501,503,501,373,800,800,503,649,857,165,649,502,800,501,501,356,674,501,503,282,649,800,800,502,649,16,503,501,800,696,800,649,501,800,503,800,800,897,501,503,649,16,649,502,500,649,502,502,800,501,649,649,500,286,500,503,503,800,160,502,502,800,501,504,282,502,503,500,649,503,800,500,800,649,649,501,649,500,800,253,800,502,504,503,281,800,500,503,282,87,649,976,800,649,500,304,16,800,649,800,282,503,800,503,500,800,500,500,120,282,503,503,503,500,500,649,649,16,501,107,800,649,800,800,503,402,502,502,649,503,16,500,221,502,501,502,502,282,649,800,501,501,503,649,800,501,502,800,503,948,502,649,501,502,500,246,500,800,247,501,500,649,16,800,866,504,800,800,500,502,107,502,500,800,16,335,502,281,800,649,209,649,282,500,504,502,501,501,282,500,501,800,894,800,501,502,100,500,503,500,501,75,502,425,800,649,800,501,649,766,501,649,501,649,649,807,502,502,800,504,501,800,649,500,501,16,569,282,800,503,501,649,800,502,792,500,717,689,502,649,503,500,822,792,500,144,503,501,504,800,800,649,502,800,516,504,800,501,800,502,87,501,173,504,503,500,16,800,501,649,504,800,501,649,501,501,282,800,501,649,374,501,502,282,649,501,16,800,649,500,649,16,500,800,501,282,502,282,19,504,501,500,282,800,501,501,502,125,280,502,501,282,500,282,503,504,501,500,500,859,282,363,800,449,502,503,649,800,800,800,501,69,501,500,206,501,501,16,649,500,503,500,751,800,790,282,504,500,502,271,800,25,282,500,794,107,502,282,815,282,502,16,500,504,500,800,502,282,917,501,800,503,800,183,501,503,501,500,649,500,949,503,500,500,800,647,500,800,16,103,649,103,502,502,649,502,500,781,503,649,649,976,501,649,503,501,500,501,501,649,503,172,282,502,502,501,502,503,502,501,502,500,800,36,502,503,501,282,500,649,502,16,501,502,503,649,800,501,502,503,502,503,649,501,504,502,501,502,515,991,649,649,282,502,649,501,608,502,649,501,282,502,282,649,282,503,649,282,800,800,501,503,500,649,503,501,800,277,393,571,214,500,503,800,501,164,16,503,502,502,502,800,800,501,523,16,501,790,103,282,16,503,500,401,282,502,500,500,503,500,649,800,649,800,503,501,649,800,501,147,500,503,502,500,649,800,649,800,991,500,800,503,931,800,649,500,503,500,800,502,103,502,649,282,502,188,16,282,649,680,503,800,125,800,500,502,800,502,502,501,800,502,649,282,282,800,649,649,500,503,649,649,501,800,502,800,649,443,103,502,705,504,501,502,649,503,16,649,649,282,502,501,649,500,800,296,800,103,502,500,649,501,501,502,502,800,502,501,282,107,502,500,16,501,500,649,503,800,501,503,502,282,658,501,502,500,649,503,649,501,807,501,503,649,501,16,800,503,800,800,502,282,282,800,500,649,107,346,502,500,649,504,501,649,649,503,458,903,501,362,800,504,503,800,107,503,500,503,282,16,800,672,500,501,385,501,501,282,501,503,501,503,649,501,501,649,503,500,502,36,503,282,800,800,501,503,282,502,500,727,282,649,800,800,502,800,504,501,16,503,649,800,649,501,808,649,502,502,500,649,255,649,848,500,502,800,800,500,800,501,500,501,665,504,502,503,501,503,500,282,800,649,503,500,502,501,282,500,649,502,649,504,782,502,500,503,800,503,800,502,800,649,649,192,275,500,282,800,500,967,649,649,503,649,800,649,282,800,503,502,501,501,649,500,800,800,649,501,199,312,800,503,503,107,501,282,502,503,500,500,502,500,500,649,502,649,649,800,282,910,501,16,503,502,800,500,500,994,11,16,501,649,16,800,501,282,502,16,503,916,800,605,503,649,800,16,800,649,504,500,649,502,501,502,649,500,501,501,500,503,277,500,501,649,800,731,503,282,500,501,649,503,649,572,503,500,182,16,502,503,502,501,501,282,501,501,103,501,282,502,282,501,940,282,500,649,503,649,649,502,140,501,800,501,198,649,800,500,800,503,800,504,501,503,175,501,503,653,501,282,504,501,800,649,800,503,500,649,503,500,500,501,500,502,754,649,500,800,467,501,500,502,800,282,502,800,912,800,273,503,800,502,502,503,61,503,649,983,282,502,501,800,503,500,500,501,500,800,16,502,501,649,282,282,500,649,502,191,501,649,253,501,723,503,282,501,800,649,504,800,503,504,649,800,634,649,800,501,800,107,501,863,282,16,500,649,501,503,503,282,503,649,503,816,500,501,501,500,800,227,800,502,282,862,502,504,800,501,504,800,501,800,501,649,44,800,501,855,282,501,500,502,500,649,756,500,472,501,892,502,800,800,502,501,503,895,503,502,502,503,282,500,502,649,800,649,649,649,502,500,49,892,282,649,503,500,501,800,503,502,329,799,500,649,926,503,800,800,500,503,16,770,944,800,428,502,649,800,503,800,502,282,561,502,282,501,501,500,649,502,282,649,800,800,503,649,800,502,898,502,503,501,649,103,502,649,649,800,800,800,503,16,16,501,800,503,800,282,297,800,649,282,282,500,501,16,800,791,502,503,800,503,16,107,504,503,854,501,500,800,500,800,692,649,649,800,500,282,500,502,800,800,500,501,282,501,318,649,800,649,649,800,282,282,500,16,28,500,800,649,282,282,501,502,501,16,649,500,503,501,502,325,500,501,502,800,501,649,800,649,501,16,649,282,800,502,517,649,503,800,649,503,501,502,502,503,649,800,500,800,503,502,501,649,500,536,464,800,501,800,502,503,500,503,107,503,501,800,502,565,500,800,500,503,502,501,649,649,282,502,800,500,501,500,107,800,282,503,502,649,800,503,800,501,292,16,503,800,649,503,502,500,103,800,800,16,649,500,282,282,500,649,800,501,500,800,501,501,501,705,800,503,649,764,649,501,503,881,503,503,500,502,107,282,800,282,501,649,800,503,503,501,649,649,807,649,503,503,503,593,989,503,503,500,500,504,500,501,500,282,501,103,501,501,503,500,503,500,649,649,649,502,503,649,503,501,282,502,649,800,16,502,500,500,503,501,503,282,649,649,501,503,800,501,649,503,800,500,107,864,800,500,502,503,803,16,16,800,502,800,649,503,552,649,503,502,500,500,609,16,504,500,500,756,800,500,375,502,502,502,503,16,800,515,502,502,800,501,501,800,503,309,502,800,503,504,502,549,549,503,649,800,649,501,501,649,503,271,282,649,503,500,502,502,504,649,16,705,500,501,501,503,457,282,503,501,800,404,754,800,649,282,649,282,501,16,800,649,501,501,501,649,501,501,800,649,16,500,800,800,16,282,282,503,215,673,109,103,800,649,503,501,800,500,282,107,504,649,502,610,503,649,282,244,503,282,800,503,16,800,502,503,236,800,503,503,502,649,800,649,503,800,649,800,503,502,500,800,649,500,649,500,282,502,800,649,649,565,501,503,793,503,502,500,800,500,500,502,504,131,282,501,16,800,500,500,504,414,501,649,501,682,501,502,282,501,775,500,649,649,503,649,503,501,500,800,501,649,502,502,502,501,500,282,503,501,800,649,503,503,503,282,342,649,800,500,282,502,667,501,504,282,649,282,435,800,489,282,500,500,503,649,501,800,800,500,503,500,312,800,800,765,501,503,501,301,502,834,501,500,114,649,800,501,503,502,282,501,549,501,649,502,182,800,649,973,503,800,404,649,649,501,502,398,16,503,501,282,282,649,502,649,649,16,502,504,500,501,282,500,800,721,503,502,503,649,500,504,504,503,500,502,503,501,500,282,905,487,282,800,501,502,705,501,502,16,501,500,16,500,502,800,16,282,800,194,503,502,502,503,199,501,317,502,502,601,502,16,649,649,500,107,503,502,503,500,282,11,649,800,649,981,502,504,503,107,502,502,501,800,649,649,502,503,501,502,503,649,502,502,500,501,502,500,500,282,282,284,930,502,649,649,649,282,500,503,502,363,501,649,500,103,16,614,500,599,503,503,800,649,800,205,503,502,503,649,502,501,501,503,282,502,502,502,502,615,502,800,500,501,501,503,800,504,500,500,800,503,502,781,501,503,282,503,16,502,503,500,500,503,500,202,500,502,649,207,502,282,800,182,500,800,435,420,16,800,501,500,501,500,627,501,500,500,503,649,503,500,282,503,503,502,500,282,282,282,500,503,504,649,500,501,500,16,800,502,800,103,502,501,664,500,908,501,1,501,800,502,500,501,503,649,649,500,955,649,800,500,282,502,800,500,800,800,16,16,502,502,649,501,649,502,504,800,800,800,501,503,800,503,800,503,649,282,501,649,500,502,148,502,162,502,503,649,502,800,502,800,500,807,933,70,500,502,649,282,503,420,501,502,649,800,929,503,500,504,501,503,800,500,16,502,501,500,649,800,649,504,500,759,501,502,501,500,503,502,282,282,500,501,675,61,802,800,800,503,649,503,504,503,504,503,504,282,800,500,503,901,500,488,502,500,601,502,502,504,503,501,500,649,503,502,501,800,282,504,249,800,340,502,649,800,501,503,500,800,65,649,501,649,500,500,956,502,800,501,832,504,502,16,649,800,501,800,503,503,501,504,815,500,892,501,973,500,16,500,500,800,649,282,649,503,503,500,504,771,502,649,800,107,649,800,502,16,282,282,649,282,649,107,282,503,699,502,503,501,649,501,500,502,502,731,500,16,649,16,501,501,500,724,14,502,800,501,340,649,800,502,16,233,649,939,102,500,649,630,502,501,500,500,282,502,500,501,649,501,501,502,800,501,649,503,282,649,501,282,800,501,401,501,503,282,282,800,502,649,500,800,503,501,800,16,503,502,501,16,16,502,503,649,800,800,503,501,502,282,502,500,501,502,649,224,500,649,503,800,250,800,501,503,800,644,503,501,500,649,503,649,500,16,649,502,501,503,500,502,282,282,503,698,503,503,503,501,649,502,503,502,282,501,501,501,649,282,800,501,282,502,500,101,502,800,800,501,503,800,503,503,500,500,502,282,641,647,907,800,282,16,649,500,500,800,502,501,501,282,500,501,503,649,800,807,649,800,649,502,800,500,502,779,501,16,503,503,601,500,503,16,501,800,504,649,501,800,800,801,18,502,502,800,649,282,503,503,501,800,132,500,649,800,500,501,282,800,501,282,500,503,500,171,800,500,649,174,503,503,16,502,502,501,800,450,649,503,649,649,500,16,500,800,500,501,16,500,800,16,458,502,282,16,504,649,500,800,800,103,504,502,501,649,282,800,800,883,649,649,800,503,103,16,500,500,501,504,649,504,800,502,502,502,501,501,649,800,282,500,800,502,525,503,501,501,119,500,282,16,502,156,800,632,16,973,503,649,502,502,501,503,500,501,500,503,285,16,503,502,500,980,649,16,239,800,800,500,649,282,16,568,501,500,304,800,722,800,500,282,599,500,502,504,502,503,287,800,800,800,502,503,994,502,503,503,500,16,502,800,649,501,649,502,649,502,501,504,649,500,800,503,502,502,502,800,503,800,649,392,107,282,800,800,16,500,500,649,800,500,504,503,107,649,800,501,468,502,282,503,502,501,502,807,649,502,282,503,649,500,500,502,503,649,649,511,504,658,978,16,502,649,649,502,16,501,686,282,503,649,982,800,649,503,500,649,800,800,504,503,649,502,501,503,649,502,501,649,501,504,500,504,649,344,16,502,800,800,503,16,649,502,38,500,800,649,500,501,502,504,649,16,502,503,503,503,500,800,502,16,649,800,724,503,502,800,504,649,282,502,800,800,649,282,800,501,501,502,649,800,500,503,503,800,504,800,800,503,835,800,501,503,282,800,504,282,649,503,500,500,800,503,500,16,503,649,649,500,282,500,501,800,16,800,800,503,500,501,501,800,502,649,282,800,800,649,649,502,649,503,500,649,502,868,282,750,695,502,399,982,500,800,502,500,500,649,502,501,446,800,500,125,151,501,282,500,501,503,501,107,504,800,500,800,800,502,800,502,502,501,500,800,16,800,800,800,500,649,649,504,501,800,503,503,503,502,649,503,859,500,649,301,500,800,478,501,500,800,501,649,282,500,500,504,800,500,500,800,649,103,800,800,503,500,500,649,502,501,266,500,501,503,135,502,500,107,500,502,503,500,503,480,500,503,752,503,503,501,649,503,501,502,800,282,500,649,800,500,800,500,800,501,501,501,649,501,649,503,501,503,649,500,800,800,827,500,649,502,282,649,504,501,800,503,649,649,500,501,501,502,501,503,500,800,615,500,649,259,649,649,800,503,502,782,501,800,501,16,504,649,629,502,16,649,500,107,649,503,649,282,282,500,282,649,501,503,800,649,504,282,800,501,649,503,282,501,503,232,500,800,503,800,500,500,503,502,500,649,500,649,500,800,649,501,500,502,16,800,473,800,292,575,502,943,793,503,502,500,500,107,502,501,503,503,800,503,649,501,103,502,500,649,800,503,800,500,502,503,502,649,800,800,500,501,501,122,92,282,503,502,777,649,649,282,649,502,500,649,649,500,503,500,504,501,718,500,649,282,442,649,649,800,501,502,800,800,501,501,503,502,503,500,644,502,282,501,800,504,500,502,370,16,502,372,503,501,503,649,282,502,282,649,649,503,248,282,502,501,282,649,649,649,649,800,502,503,503,207,282,725,800,501,649,673,800,500,503,500,503,649,649,800,282,500,503,198,282,800,649,925,282,800,502,501,602,649,397,501,503,649,500,282,502,502,122,502,649,502,502,282,500,800,649,649,649,503,503,503,500,504,500,649,502,500,159,282,502,800,501,501,501,662,501,807,743,800,261,16,503,501,107,500,500,282,500,800,503,282,503,282,928,502,955,800,649,800,500,501,500,800,800,282,500,501,500,649,719,649,504,800,649,501,649,282,501,649,225,500,501,503,503,800,501,503,199,800,503,501,800,500,501,173,502,501,500,502,800,800,500,502,800,500,800,560,501,501,502,501,501,800,503,649,502,500,503,649,501,502,503,503,501,502,720,501,503,454,501,649,800,282,800,500,503,800,649,649,500,646,282,363,503,282,800,502,649,219,649,502,649,649,677,282,500,503,501,503,502,503,503,563,503,649,6,501,107,503,500,503,503,503,800,502,501,592,800,501,248,501,649,503,502,500,503,649,282,501,282,502,500,502,502,16,503,502,503,501,501,500,800,503,282,503,282,800,503,503,896,283,500,649,503,800,502,800,800,800,800,501,504,649,649,649,145,500,503,514,501,472,282,502,327,288,649,705,502,649,503,324,502,800,500,649,107,503,672,500,800,500,947,502,282,21,501,800,282,501,282,501,800,503,767,282,649,502,800,800,282,501,649,501,502,800,500,501,501,800,502,282,649,107,649,282,649,502,501,502,502,502,904,500,107,503,107,504,16,355,501,503,756,16,501,822,424,500,649,800,800,502,649,649,649,504,649,100,807,282,649,501,501,649,503,501,503,649,282,503,649,503,500,501,649,800,282,807,800,502,649,800,800,628,918,800,503,800,502,911,649,503,501,502,800,503,501,559,649,16,649,800,504,500,501,649,406,649,610,649,501,649,282,282,502,649,501,500,800,501,649,649,800,503,282,503,301,649,501,503,502,454,503,800,502,649,500,503,282,501,852,800,649,221,501,649,800,360,500,800,501,800,501,107,502,500,503,501,800,800,503,107,502,501,501,649,649,649,500,509,500,800,502,503,649,585,800,500,516,501,500,503,800,800,503,502,800,800,601,800,649,500,807,501,541,282,502,282,282,500,420,501,501,501,503,500,500,500,501,502,800,16,282,501,502,264,503,501,107,660,502,501,800,16,503,16,649,16,500,800,817,503,500,649,504,800,729,323,502,649,43,503,500,800,501,501,176,502,503,503,501,282,503,501,501,282,501,282,800,503,446,500,503,502,501,196,800,282,800,71,354,501,622,103,500,503,503,500,649,503,503,500,502,500,282,500,107,800,500,502,705,649,649,501,800,800,282,500,503,282,502,282,807,500,500,282,16,503,503,502,649,287,500,16,503,500,649,800,500,649,500,649,502,502,500,503,504,503,504,503,503,800,500,503,503,649,649,238,501,504,500,503,503,649,649,813,503,649,500,503,500,16,500,800,502,282,500,800,649,16,502,500,800,355,807,800,504,502,501,649,501,478,649,520,502,503,502,504,649,649,649,800,649,649,501,502,800,800,649,649,282,503,502,649,165,800,502,501,503,503,649,501,501,500,500,501,502,502,412,503,501,500,500,503,500,504,836,503,202,16,649,502,800,500,502,500,501,502,800,649,500,649,500,503,502,500,503,649,649,500,503,501,16,569,282,502,649,502,107,503,793,649,649,800,503,503,512,503,501,502,649,649,765,502,800,500,248,649,952,649,282,501,503,501,501,118,686,501,492,282,168,502,500,215,500,500,649,500,649,649,649,107,503,800,503,503,503,501,649,649,503,500,503,502,175,649,394,500,16,16,501,649,503,649,800,800,503,500,502,282,500,100,501,16,580,501,500,501,503,128,800,649,502,217,649,800,282,502,500,510,503,499,501,500,502,503,500,502,649,501,500,134,340,501,649,732,649,501,800,502,501,282,649,501,501,503,500,501,503,889,503,500,500,308,728,103,800,800,856,800,800,502,504,503,233,393,649,500,501,649,649,122,503,800,503,503,502,501,503,502,500,502,500,885,501,282,502,503,16,649,107,282,503,306,928,649,800,16,501,502,649,800,501,502,649,501,500,649,504,107,503,501,502,502,649,500,800,649,501,800,649,501,649,282,501,800,800,649,649,282,500,503,14,912,502,105,282,504,501,502,282,501,660,501,502,501,261,503,500,502,249,107,500,502,649,282,16,649,800,580,649,502,502,500,502,500,649,800,503,876,800,503,999,846,800,500,573,503,800,800,649,503,800,282,501,503,800,282,502,800,503,16,502,501,800,649,417,500,503,503,500,649,800,800,991,502,500,649,501,282,502,282,800,503,800,800,500,501,503,916,502,282,800,500,502,500,502,692,282,500,501,800,504,800,649,502,282,501,501,503,966,501,800,500,501,503,503,649,282,503,501,42,502,835,502,16,501,503,282,500,923,800,504,501,500,501,501,503,503,16,500,656,453,501,501,800,282,502,800,142,649,649,502,502,503,649,649,649,502,282,488,502,502,500,800,541,503,502,649,501,649,501,503,800,501,502,649,282,503,16,800,500,800,503,16,500,849,503,502,503,800,800,501,502,500,501,800,503,500,649,649,503,500,632,925,501,649,501,503,649,800,501,500,649,500,500,421,500,502,649,649,16,732,500,503,800,504,503,500,829,16,501,500,503,649,502,800,504,649,592,16,501,438,800,978,649,649,642,500,500,502,502,501,500,282,705,503,501,282,501,500,502,502,501,800,502,503,501,501,379,800,649,606,502,800,16,800,501,282,503,972,503,649,800,696,282,503,819,502,800,121,836,931,501,501,503,502,800,837,960,503,504,649,502,501,649,394,500,501,800,501,502,16,16,800,502,282,503,800,16,649,502,501,196,649,501,502,501,505,649,524,649,503,504,800,649,649,800,502,500,500,502,800,649,500,502,800,502,282,501,649,697,16,49,649,800,112,649,864,649,617,282,282,282,994,501,649,501,599,371,503,435,503,800,501,501,466,649,800,282,501,502,649,501,800,503,968,500,426,503,502,502,75,502,503,502,800,705,122,501,502,501,536,500,16,501,503,16,800,649,649,649,649,649,800,800,800,501,800,649,501,502,800,282,649,500,16,800,649,501,500,500,500,503,500,500,501,800,500,502,406,16,103,702,500,403,500,503,502,501,504,500,649,504,649,282,503,500,503,500,800,502,800,504,503,40,282,800,875,649,502,501,649,501,282,503,502,649,649,16,501,649,800,323,503,503,823,282,500,501,502,500,282,502,977,503,800,87,649,500,502,504,500,800,500,649,503,500,649,501,800,502,500,800,282,501,584,930,282,503,503,649,800,103,503,594,649,502,16,503,501,502,503,304,503,390,16,500,500,504,500,501,282,502,649,740,282,502,116,333,504,503,267,501,502,874,501,649,503,503,800,501,500,501,502,501,503,502,282,649,649,501,649,502,800,800,500,502,502,503,502,504,501,649,649,500,800,502,500,800,502,800,500,361,800,501,500,503,503,282,502,503,649,649,800,501,500,503,501,800,198,502,503,16,800,503,440,649,502,649,862,800,800,501,81,502,800,502,700,411,764,501,231,502,500,502,18,282,500,503,649,500,503,501,503,500,501,27,800,282,501,501,500,649,145,502,500,503,504,501,800,502,719,800,502,722,282,926,179,500,800,502,282,501,502,649,807,502,500,962,689,501,282,501,502,649,503,800,649,649,16,282,502,500,500,500,649,980,800,501,601,594,503,282,800,665,484,501,500,800,649,792,502,282,800,500,800,649,800,500,500,649,800,502,500,800,503,503,500,504,501,501,501,98,500,508,282,800,800,502,502,649,501,504,641,282,282,933,800,500,500,501,341,649,502,501,503,502,649,502,649,649,502,800,402,502,809,501,493,503,800,503,503,503,450,800,500,107,502,500,649,502,649,501,649,811,831,282,501,800,649,282,800,501,502,503,502,502,500,339,331,800,503,282,503,502,649,503,501,500,904,107,137,800,501,649,800,800,503,418,800,501,503,501,502,501,282,503,501,503,976,649,502,500,16,282,705,393,282,16,330,649,502,800,800,649,800,16,649,504,282,501,282,282,503,107,800,649,800,494,877,503,501,90,500,649,467,502,500,500,503,500,800,274,500,503,282,501,282,649,500,547,16,501,501,500,800,500,282,564,501,800,282,282,500,501,502,502,107,800,16,282,502,502,503,501,107,282,503,800,501,503,500,16,649,282,729,16,502,649,502,504,649,107,503,800,503,502,649,502,800,107,502,502,282,503,503,500,649,502,282,649,649,502,500,418,16,502,282,500,502,502,800,16,503,679,800,800,501,502,649,649,500,649,501,800,503,502,503,500,800,786,606,501,103,501,502,800,800,800,500,503,800,500,282,649,282,503,992,649,502,649,103,649,649,59,649,500,800,649,501,504,695,503,502,649,500,503,282,502,429,503,649,501,282,503,800,282,501,501,503,502,800,649,503,282,503,824,502,282,503,503,500,800,501,394,649,800,282,501,502,649,503,503,501,800,800,500,800,800,649,649,282,800,502,800,649,649,649,500,800,800,616,503,282,103,500,222,800,195,500,282,649,502,723,649,502,282,800,282,15,282,503,503,800,800,649,282,282,154,649,649,502,502,502,504,649,282,282,501,16,502,600,497,502,649,499,502,800,503,800,502,501,800,504,503,500,502,502,500,502,503,649,500,649,500,501,103,500,502,503,501,504,800,649,649,800,502,502,504,500,800,649,500,986,649,503,502,503,16,732,503,649,501,501,633,500,501,800,847,974,649,502,504,503,800,800,16,282,500,503,503,649,649,800,800,649,806,502,64,504,500,282,500,800,800,500,501,500,800,500,408,500,503,504,800,275,500,502,649,800,649,800,501,146,800,475,649,649,282,503,501,503,282,502,63,120,502,649,945,800,128,649,503,219,282,502,500,500,649,504,282,16,800,502,282,503,282,501,501,502,500,800,800,503,16,503,500,503,502,649,800,282,824,901,215,503,503,339,503,502,503,800,500,649,501,501,649,502,501,500,333,503,761,503,504,800,501,500,501,602,501,503,282,282,649,800,500,501,502,800,502,500,503,502,800,500,287,501,282,502,649,502,502,500,861,503,502,503,503,503,502,503,282,649,842,500,502,800,282,649,502,501,525,503,503,990,282,672,504,502,649,500,800,318,501,500,502,502,881,501,282,800,501,649,503,503,504,570,800,649,962,649,503,500,500,16,501,649,649,502,500,795,282,16,264,502,500,503,685,503,216,282,503,501,426,503,503,504,800,55,649,649,165,313,550,722,500,500,800,503,214,800,957,800,500,282,235,800,649,502,800,502,649,482,800,649,732,500,649,649,649,503,503,649,501,502,500,500,501,649,800,501,282,16,503,282,504,501,500,502,502,502,501,649,649,502,649,500,282,16,649,103,502,800,500,501,502,669,501,501,503,503,649,502,800,503,500,649,500,266,500,800,502,282,501,503,800,800,500,502,800,948,800,420,282,800,502,941,500,22,282,502,502,16,649,800,500,16,599,107,954,501,649,500,500,649,649,503,503,994,502,505,503,500,503,500,282,501,800,800,500,649,800,501,800,501,697,649,500,500,500,800,800,502,500,800,500,503,282,503,501,500,800,502,800,800,502,649,503,502,501,503,282,75,800,500,501,282,16,16,501,531,500,501,501,501,500,503,500,500,502,215,502,800,800,500,903,501,649,649,800,649,504,800,501,649,800,649,501,500,502,649,800,649,107,800,861,503,500,501,501,649,503,410,503,500,542,502,503,501,107,541,282,501,502,800,501,501,501,800,501,500,107,16,768,745,500,503,649,503,502,132,293,502,254,502,107,503,800,500,800,503,502,503,834,500,800,282,501,282,442,503,500,846,503,503,552,649,16,501,649,502,502,503,502,974,503,800,16,649,503,800,282,16,501,500,504,500,500,649,800,502,282,915,397,502,16,502,501,503,500,800,501,502,282,649,504,649,500,504,796,282,501,800,800,503,504,500,800,502,16,501,16,501,649,282,282,503,503,500,800,231,502,502,282,282,282,94,800,485,649,100,502,500,649,282,501,503,800,500,649,502,500,502,326,502,649,504,800,502,16,800,500,502,649,503,503,282,649,403,501,500,504,649,501,501,503,502,538,503,649,282,282,649,500,503,502,800,649,265,800,800,500,501,503,502,503,109,500,107,502,502,800,800,800,800,502,649,649,504,502,503,16,800,800,503,649,800,649,500,800,800,500,649,717,282,649,282,800,504,500,501,503,503,502,800,500,500,492,501,532,500,800,282,107,500,500,502,501,16,503,503,502,649,500,649,800,501,502,705,232,501,800,649,800,649,504,649,501,649,282,247,502,503,501,500,282,500,500,503,518,727,488,500,504,649,503,800,282,501,649,282,800,649,16,282,502,649,503,789,16,103,502,649,502,807,503,649,501,500,504,500,910,800,503,500,500,800,800,649,800,501,320,800,158,800,500,500,501,501,649,867,800,649,502,502,105,502,800,502,501,458,800,500,282,500,504,503,501,800,719,503,503,282,501,502,500,834,500,800,503,501,282,500,503,897,502,501,501,503,800,501,276,800,207,501,649,100,500,502,649,800,547,800,282,282,800,503,814,501,596,501,282,500,649,282,649,503,282,503,503,853,800,501,496,800,500,500,501,501,282,429,649,502,800,305,282,649,800,649,104,501,800,503,503,503,500,502,107,913,502,16,282,500,800,502,649,501,800,800,503,503,649,282,501,649,502,502,502,503,800,503,500,800,502,502,221,500,501,800,4,503,818,502,649,502,500,649,502,58,503,502,800,503,800,503,501,123,501,500,501,844,649,503,649,503,939,649,282,503,649,649,282,502,502,502,800,503,800,503,502,501,282,504,282,503,501,660,500,502,502,502,16,501,800,107,649,500,686,500,502,502,649,502,649,501,649,501,502,501,500,501,236,282,800,501,282,649,502,501,800,649,649,649,501,501,500,500,282,502,503,502,501,529,501,923,282,502,502,800,501,649,501,500,705,502,503,500,649,501,800,500,748,503,16,885,501,503,503,502,501,649,649,800,649,500,282,649,649,107,503,501,500,503,502,800,501,282,501,282,500,502,649,649,503,503,282,503,882,649,503,649,16,500,501,500,800,16,500,503,609,502,282,990,956,649,830,16,800,304,902,900,392,800,501,501,503,500,183,502,503,501,16,800,500,282,800,503,800,949,501,503,16,501,504,503,81,501,503,649,502,251,503,16,800,649,800,800,800,515,282,500,439,503,503,282,800,502,503,503,500,500,502,649,500,500,649,500,501,649,649,800,778,800,500,16,16,500,502,500,385,503,649,500,501,107,282,500,502,500,501,501,500,502,504,502,879,649,500,503,502,16,503,503,282,503,649,502,755,55,282,501,556,500,962,501,649,503,500,501,501,649,649,500,500,500,800,800,800,503,800,282,500,408,501,502,502,504,649,504,501,502,501,800,501,800,418,501,503,282,649,501,500,800,649,800,500,282,501,504,500,502,503,500,500,503,800,500,503,649,649,143,16,503,502,649,503,278,503,503,800,500,282,800,500,649,501,501,502,501,800,282,503,962,500,773,503,649,501,649,649,649,800,602,502,951,282,502,504,649,503,152,503,501,649,649,800,649,504,800,500,503,649,16,649,500,502,502,501,352,500,457,502,282,328,276,649,502,274,501,501,800,649,502,800,500,502,800,502,500,649,500,649,649,649,282,649,503,649,282,800,501,301,500,800,500,503,649,501,500,501,503,500,500,502,649,800,800,500,800,501,649,800,500,649,800,107,649,800,800,501,649,502,107,503,500,504,504,500,800,800,649,503,649,503,282,800,282,503,500,503,649,502,501,970,462,501,649,800,503,503,544,16,503,800,500,800,16,504,800,504,501,649,649,501,800,16,282,502,502,800,500,649,649,800,503,282,282,500,800,649,501,282,500,501,501,649,501,500,503,500,503,502,500,523,503,649,502,502,503,501,501,502,800,800,414,800,502,502,503,800,800,282,800,728,649,649,501,649,683,500,649,501,649,7,501,503,500,86,649,16,147,16,16,503,800,503,503,649,503,500,800,16,282,988,503,729,813,649,800,124,800,649,501,16,501,800,649,282,502,671,16,334,500,649,282,16,502,800,530,282,649,504,649,501,500,503,107,502,282,16,503,503,503,800,501,500,500,649,502,412,282,16,800,635,503,503,649,503,502,503,649,949,501,503,800,649,503,502,502,501,502,800,501,500,649,282,107,503,800,903,800,770,800,649,502,800,503,800,674,649,500,649,649,502,551,501,241,502,503,282,502,501,800,800,991,649,669,803,500,800,503,502,502,788,800,500,16,500,502,501,282,501,503,282,800,800,800,500,503,282,503,500,502,649,501,500,649,502,649,501,502,850,501,500,503,503,800,800,649,502,800,502,502,649,649,501,501,501,501,503,800,676,501,649,502,963,649,800,16,800,193,282,502,800,502,503,500,649,649,681,282,192,500,503,800,501,502,501,502,500,800,485,649,503,282,502,502,800,800,501,649,911,502,501,500,114,282,500,800,504,742,649,800,282,800,500,282,800,649,501,649,649,649,501,649,502,503,153,613,500,502,282,500,503,800,500,503,386,800,282,500,458,649,500,41,137,649,504,431,502,500,52,709,501,532,501,502,502,500,704,503,500,577,649,501,501,763,748,501,500,481,664,500,500,500,502,649,502,649,305,649,466,500,503,501,103,501,20,800,502,649,800,500,503,649,500,503,503,374,500,800,501,502,649,502,502,501,16,501,503,501,500,800,282,384,16,649,500,502,800,800,504,649,501,649,501,649,501,649,800,263,502,649,16,649,500,282,503,800,502,282,500,703,649,16,500,649,107,800,16,503,800,503,502,554,48,649,649,649,503,282,502,336,402,649,107,282,800,504,502,800,116,502,282,110,502,947,503,16,800,500,16,724,503,800,500,504,503,500,16,502,649,649,500,500,500,500,800,504,282,731,800,502,503,800,800,503,502,500,503,16,501,502,501,501,282,500,502,501,649,503,103,501,649,504,800,501,500,500,500,500,282,502,282,800,501,16,500,282,503,649,800,16,800,800,501,800,800,502,500,800,500,16,282,282,500,800,800,649,649,800,500,503,501,501,502,113,649,501,503,282,800,503,504,800,993,649,800,503,503,503,680,501,800,502,500,419,503,282,800,500,826,500,800,501,503,649,800,282,503,125,356,503,591,503,503,249,649,800,649,502,861,501,766,649,501,715,282,649,800,502,500,800,800,501,800,501,502,502,502,649,48,217,649,501,500,501,564,282,800,500,649,800,649,800,501,502,500,649,500,500,260,500,500,144,853,500,282,103,501,500,500,378,273,16,800,649,502,503,781,504,649,503,800,663,649,282,503,502,502,503,501,649,649,800,282,501,503,500,800,502,649,800,40,503,980,500,500,16,501,504,504,480,500,500,502,502,502,503,503,649,501,282,800,649,502,107,649,500,501,503,282,928,16,649,502,502,501,504,501,501,649,501,375,45,503,153,503,800,800,503,649,800,176,969,115,282,649,502,800,800,958,282,800,649,519,800,502,503,273,500,398,107,649,502,649,800,800,503,16,474,649,501,503,342,500,501,800,16,503,500,975,503,503,230,503,500,800,649,649,501,503,800,500,503,501,503,282,500,501,502,500,503,503,501,503,807,503,500,282,391,503,649,501,649,502,501,800,800,383,502,800,502,925,800,800,504,503,501,649,358,649,500,800,682,649,500,916,282,282,500,501,282,649,501,500,504,649,502,282,649,800,502,649,501,807,800,282,501,503,282,502,501,503,800,649,282,800,501,503,16,635,800,500,502,800,831,502,107,501,500,329,800,71,235,282,503,501,282,502,503,500,502,501,649,282,282,501,649,503,502,493,800,500,649,649,800,419,501,16,501,504,800,502,503,501,501,649,501,904,503,199,649,502,503,501,103,800,502,503,649,501,93,501,502,503,800,503,65,503,503,649,649,503,282,502,800,503,503,500,503,501,502,501,500,502,649,649,800,282,504,503,649,501,800,385,502,800,800,500,500,800,282,503,501,795,500,649,34,504,282,800,502,502,446,501,500,800,500,16,502,502,503,501,16,800,501,152,501,718,107,501,501,500,800,501,501,504,16,800,503,255,649,502,501,69,500,500,503,502,501,800,800,282,292,453,501,800,502,800,800,431,501,500,800,500,16,800,503,800,649,649,501,502,502,800,503,503,502,649,282,800,503,649,501,502,800,500,503,501,502,502,241,503,500,502,649,744,503,503,502,501,800,282,500,502,800,500,800,501,800,501,501,800,16,502,986,707,503,500,500,649,16,502,800,502,800,800,800,358,501,100,503,503,649,502,501,502,503,800,649,503,500,502,503,500,503,649,501,503,319,800,504,503,502,500,503,282,257,501,282,502,610,503,459,502,800,669,502,751,800,502,502,800,16,500,737,503,502,501,649,913,501,649,16,649,503,800,649,502,502,649,800,502,675,614,500,84,649,800,503,800,827,649,500,503,500,501,502,800,502,500,765,16,649,649,503,282,107,366,107,501,503,412,500,800,800,649,503,800,500,649,649,551,649,503,501,503,649,282,501,501,991,955,501,501,800,502,502,107,800,503,502,502,502,502,800,800,502,800,502,501,502,92,500,502,503,503,282,500,500,282,315,282,503,282,516,502,16,649,669,800,503,503,501,503,501,282,502,500,500,500,800,502,503,500,503,649,16,886,502,800,503,800,501,16,501,591,139,502,501,501,107,649,335,649,800,649,800,282,501,502,214,503,308,282,800,649,800,502,502,501,649,503,70,500,501,501,16,800,503,649,649,649,503,503,800,503,107,500,665,502,502,501,502,165,501,501,778,503,502,501,501,501,800,504,500,73,800,319,500,282,501,282,503,745,501,500,502,501,699,800,800,500,282,649,500,503,649,800,649,783,282,500,480,800,961,800,500,504,282,687,502,3,503,282,501,503,503,337,502,500,500,501,501,503,16,919,502,649,240,358,16,502,501,282,800,503,516,500,502,503,579,16,500,800,282,649,649,357,503,500,500,500,649,503,503,503,501,649,500,502,502,800,500,502,800,826,811,107,502,929,649,16,282,92,502,500,502,502,282,501,649,502,501,800,502,502,282,66,800,649,502,502,800,502,800,642,152,649,282,502,501,504,500,503,501,326,649,574,501,501,16,800,282,649,502,500,649,500,503,503,501,800,501,503,503,107,282,500,667,501,649,503,501,649,800,502,649,800,173,519,503,500,649,263,502,879,502,649,500,502,503,500,938,501,501,884,501,503,501,502,501,503,500,282,500,503,394,800,502,800,500,343,500,503,800,282,800,800,500,500,501,206,649,800,502,502,504,501,649,800,16,282,501,502,500,500,503,649,500,114,643,5,194,500,500,501,649,502,503,800,212,500,16,504,501,800,282,649,649,501,501,649,282,800,734,502,649,501,649,801,358,501,502,502,502,502,500,503,107,649,500,503,800,501,500,675,503,282,26,16,800,713,503,964,503,502,500,503,664,649,800,800,800,110,947,502,649,800,502,500,649,605,517,85,800,800,501,649,502,501,503,500,649,800,649,649,649,902,649,501,800,503,503,501,503,504,502,502,634,501,467,500,501,500,747,503,502,16,278,800,282,502,501,500,501,501,282,472,496,649,800,503,502,282,502,800,502,501,500,649,502,500,282,649,649,800,800,502,800,502,649,501,501,212,800,468,503,504,649,500,649,502,649,500,16,800,503,503,649,649,500,800,649,502,282,107,964,282,501,502,503,282,332,282,500,503,501,649,500,800,500,16,649,502,100,649,800,500,590,503,500,503,501,500,421,282,503,502,649,501,800,502,503,800,800,504,630,503,501,800,800,543,503,16,620,800,502,501,503,501,864,503,282,282,501,649,609,503,282,800,500,503,501,503,569,502,800,649,800,500,501,615,501,504,502,503,800,501,649,503,282,502,501,502,800,500,503,800,502,800,500,404,501,42,649,501,501,800,501,282,500,501,501,502,502,649,649,500,800,800,649,798,800,503,408,800,502,501,800,500,503,282,800,841,282,501,426,800,503,501,349,800,501,649,800,800,99,649,282,649,500,500,16,282,649,282,501,500,649,649,16,500,503,800,502,502,282,501,800,500,800,503,649,649,649,800,504,282,800,503,649,649,282,502,800,16,501,501,358,502,649,500,744,500,761,649,800,16,503,500,16,503,282,397,500,282,649,800,501,800,16,502,503,500,503,501,503,503,500,501,501,649,282,800,501,500,501,501,811,649,503,503,504,500,16,500,148,501,282,649,503,501,789,500,501,441,649,502,988,514,800,504,649,649,928,800,500,500,501,502,649,504,309,649,502,501,649,649,503,501,282,800,649,649,690,649,502,502,503,649,501,874,500,501,649,502,800,500,501,502,649,800,501,500,500,500,501,649,800,16,501,502,502,649,878,649,502,503,502,503,503,503,503,649,649,500,502,800,501,282,503,649,649,503,500,800,16,501,98,705,282,502,502,800,800,223,584,503,503,501,501,503,503,500,92,500,501,502,865,800,500,500,282,500,649,502,502,501,500,952,282,282,649,500,179,800,542,354,501,501,649,500,892,501,649,500,502,800,282,649,649,500,500,502,501,500,504,649,504,649,282,502,500,800,649,282,649,503,503,627,503,502,282,503,137,502,800,16,800,800,608,649,502,501,800,501,503,800,800,649,503,501,649,501,282,502,500,503,16,649,649,502,502,501,501,16,502,649,500,504,503,501,500,607,500,504,282,503,503,282,502,501,916,705,502,800,800,399,502,800,503,503,502,800,502,500,502,682,694,501,649,500,500,16,500,503,16,649,700,726,649,503,800,649,502,504,502,502,800,500,800,502,811,800,762,503,503,501,503,16,649,503,103,800,502,270,649,800,503,503,800,503,461,800,501,649,649,500,649,503,501,500,649,649,501,502,502,502,503,800,242,649,649,690,500,503,500,649,503,502,503,502,649,502,502,501,500,649,500,558,500,501,800,502,500,800,800,16,800,503,800,509,503,502,800,502,859,501,503,501,649,503,653,500,503,504,500,785,649,600,503,502,649,503,502,501,107,16,501,501,649,501,320,503,500,282,503,501,282,649,502,503,503,502,49,502,502,500,282,502,500,475,800,649,282,501,649,45,88,500,502,500,649,502,500,800,501,502,565,800,504,501,930,503,501,500,800,107,282,504,649,282,502,501,501,649,500,188,107,500,503,269,800,503,282,649,800,504,501,800,501,500,649,503,502,282,649,501,649,503,649,107,211,501,800,500,500,282,649,501,354,649,500,501,945,800,500,705,649,180,802,500,733,107,500,500,800,502,16,282,649,500,502,500,503,908,500,502,800,500,434,502,502,501,503,503,501,504,800,501,501,501,500,720,500,800,649,502,668,800,679,282,500,62,502,649,503,501,502,16,502,503,321,107,500,800,165,501,40,800,500,709,282,649,502,503,800,649,800,501,649,502,502,649,503,153,140,103,502,16,649,800,16,599,800,16,800,500,502,503,503,649,222,500,282,502,16,282,282,501,291,649,545,502,503,16,649,282,884,649,282,503,503,500,649,503,503,103,500,503,503,330,881,16,649,501,800,502,502,600,503,282,500,501,282,800,16,504,501,500,500,107,503,502,501,719,800,501,503,504,502,502,500,503,501,649,785,501,501,649,282,282,502,503,800,179,500,800,503,501,282,502,502,108,796,800,649,500,501,501,503,501,501,614,649,282,502,502,649,503,503,500,800,649,502,503,649,503,501,649,502,800,800,456,500,502,282,16,800,649,649,500,500,503,444,503,800,897,501,282,992,649,500,800,501,800,503,800,502,800,800,500,503,503,501,502,649,994,500,500,649,503,504,500,800,649,16,500,282,503,503,503,501,800,504,124,500,501,800,649,282,368,500,282,503,503,788,649,649,16,800,800,501,282,649,800,501,501,501,503,504,501,500,500,504,800,501,649,649,810,502,800,503,503,501,501,336,282,800,649,502,800,16,503,16,500,503,501,282,282,282,502,800,500,502,502,501,4,649,282,800,500,500,164,501,503,502,1,800,471,501,502,501,503,502,282,502,501,503,501,649,762,848,961,282,649,501,502,649,649,503,502,500,502,715,500,282,800,107,800,649,503,500,800,501,282,501,502,800,649,375,667,500,16,625,649,500,502,503,501,502,502,800,800,503,800,294,503,241,500,649,997,800,503,728,282,16,800,406,502,649,501,649,800,501,504,502,500,181,500,502,649,502,800,649,501,649,800,800,453,503,501,500,502,649,501,502,503,503,16,16,649,500,999,500,503,649,502,800,500,282,750,443,800,649,503,649,502,648,649,649,800,500,501,649,282,649,649,500,503,503,649,282,501,502,501,800,503,353,502,282,503,500,501,502,504,502,500,649,500,800,293,800,855,800,649,800,800,502,503,503,600,800,800,500,649,800,501,501,800,500,502,649,500,500,649,501,278,649,16,800,501,649,503,502,503,500,103,282,500,282,500,800,519,501,503,501,390,503,500,800,649,631,222,501,649,649,800,501,500,16,800,502,500,649,649,502,501,649,500,503,502,501,800,512,649,503,800,282,282,501,649,877,649,503,649,503,501,649,502,501,504,500,503,503,500,503,16,16,502,501,649,501,502,800,501,16,282,16,503,501,500,236,501,800,555,357,501,800,282,800,107,649,649,649,620,224,501,800,502,500,500,282,800,800,502,282,502,504,282,503,503,649,388,503,800,649,649,500,800,500,196,502,500,16,800,502,501,649,501,500,800,500,649,502,502,502,500,503,502,800,500,936,800,482,501,501,500,502,504,500,829,800,317,500,278,503,800,503,282,800,43,503,107,502,649,541,800,800,16,316,501,774,674,800,649,502,107,649,643,503,649,501,500,503,649,500,690,501,111,800,501,649,500,501,800,500,282,282,500,502,800,649,16,800,800,503,107,502,40,501,502,503,282,500,500,800,800,649,501,500,800,501,500,503,587,502,649,500,649,500,502,649,500,501,282,502,503,649,16,502,501,649,502,800,501,500,282,502,16,501,16,100,501,800,502,16,649,502,800,502,800,800,502,800,800,649,800,500,501,687,501,800,501,500,800,690,500,800,649,649,975,800,502,107,649,800,290,502,501,171,502,438,562,649,365,503,608,501,502,501,649,501,800,800,503,503,502,649,800,500,649,649,800,107,501,500,504,800,649,800,16,954,247,282,800,501,649,282,500,483,800,502,500,649,502,800,502,501,282,800,500,930,16,800,503,501,800,503,503,16,649,705,504,282,501,502,649,503,503,501,282,649,501,503,501,502,502,501,296,800,502,649,649,800,501,649,501,282,800,502,16,503,649,503,500,152,800,501,503,800,503,668,504,501,649,649,800,501,800,800,500,500,562,502,649,649,504,500,800,649,503,500,502,649,800,501,500,502,282,107,800,500,500,500,500,502,502,586,490,502,649,501,786,500,501,501,501,500,502,502,501,649,312,502,502,503,282,649,503,502,282,501,501,649,282,307,500,282,502,442,800,649,501,501,649,649,800,500,500,500,397,501,272,649,606,502,649,282,649,500,501,800,500,501,503,649,282,282,282,7,501,500,881,800,502,649,282,800,459,800,800,503,503,503,503,504,209,502,282,800,800,500,649,800,503,282,502,649,502,282,502,500,649,649,801,502,27,501,500,503,501,846,500,502,503,566,503,649,800,502,502,501,649,649,501,500,649,800,356,800,649,800,502,16,500,800,503,82,869,503,649,349,501,503,649,16,501,800,800,649,504,193,649,800,503,502,649,649,16,107,501,649,501,770,500,649,501,501,16,649,500,649,503,500,504,502,649,503,282,800,649,286,800,282,649,649,500,501,649,781,800,503,500,649,649,501,649,16,503,800,800,800,504,503,800,503,649,169,800,501,800,500,800,502,502,502,501,503,501,502,800,397,503,500,502,822,800,282,649,503,503,502,503,502,503,501,502,503,501,649,800,502,502,649,800,501,500,649,282,649,649,800,501,649,500,501,501,649,501,504,502,16,800,502,501,502,501,501,502,800,649,649,503,503,649,800,107,502,198,504,501,800,961,503,503,502,500,503,502,501,501,16,16,500,800,916,800,649,500,649,800,504,500,502,501,282,502,649,649,564,501,502,649,503,500,501,502,502,502,502,800,501,800,258,503,649,102,503,200,649,501,800,800,502,500,209,800,649,501,500,649,282,502,501,504,502,148,649,503,501,503,501,325,800,282,800,503,503,502,500,503,800,477,502,502,800,287,649,502,503,984,503,800,282,16,281,503,503,800,502,500,340,501,502,800,933,503,503,649,502,502,800,282,503,502,502,501,649,500,800,627,800,800,501,501,500,107,800,501,503,503,800,970,288,502,649,282,501,503,800,282,649,500,501,500,649,800,502,501,502,282,720,649,503,649,800,500,282,503,800,649,500,800,502,649,72,501,876,876,503,503,500,282,649,649,705,649,502,846,501,800,195,500,578,501,503,649,238,16,502,502,503,649,105,500,384,504,247,18,649,477,270,649,502,502,282,282,800,649,501,501,502,500,503,282,502,282,500,16,813,800,800,800,262,649,800,282,502,502,501,502,939,16,649,282,501,503,503,503,500,114,501,800,502,501,504,800,800,649,503,87,501,500,500,827,282,800,282,800,406,282,503,504,502,800,649,502,502,501,282,649,502,800,502,503,500,427,500,502,501,960,502,500,649,501,502,500,800,800,649,502,649,769,502,501,500,282,501,649,649,501,352,744,16,649,800,501,500,502,282,501,649,501,139,500,800,649,501,649,800,649,800,501,16,503,649,394,501,107,649,237,961,282,800,500,355,502,649,649,800,503,16,282,502,502,501,103,623,502,769,649,16,800,649,649,500,500,16,503,502,282,649,502,500,649,504,800,649,501,800,800,649,502,502,800,800,502,503,501,500,501,601,429,282,223,500,299,502,800,503,800,504,502,503,500,460,800,800,282,281,649,800,501,500,649,800,502,502,502,501,800,818,503,502,501,535,502,429,571,282,503,502,500,649,500,501,501,503,800,502,282,503,939,500,891,500,500,800,800,800,501,500,503,500,451,502,501,502,282,649,503,503,500,501,500,502,86,500,500,503,503,501,502,504,800,501,503,16,500,800,756,500,800,800,649,800,502,649,500,503,282,502,649,800,502,502,500,800,503,503,501,800,502,16,649,503,501,500,503,980,649,16,801,501,649,800,501,502,503,500,502,502,503,501,932,503,500,501,501,502,649,502,649,107,500,501,649,500,800,16,500,16,503,16,107,649,503,500,503,800,500,649,649,800,649,424,649,502,502,800,503,500,501,663,282,649,500,282,503,503,11,746,500,282,16,649,501,649,501,502,282,503,502,503,503,800,800,649,282,503,649,649,501,800,800,500,504,649,649,503,241,503,504,500,800,503,501,284,649,832,501,34,501,501,501,800,282,940,852,500,503,800,649,351,200,501,503,503,800,503,501,501,502,500,649,501,503,502,502,649,800,282,503,649,500,65,500,800,500,502,649,502,649,502,812,503,501,503,649,500,649,649,501,174,649,503,116,649,503,800,66,504,539,402,649,502,282,800,649,524,282,500,649,500,964,16,800,503,800,503,500,504,502,502,649,16,501,500,500,649,782,502,800,501,501,649,501,622,502,282,501,500,800,500,500,503,724,500,502,649,500,504,16,500,649,649,649,503,16,107,503,800,649,16,503,501,500,501,128,502,16,501,800,376,501,282,282,504,501,649,502,649,755,800,452,503,649,501,649,501,282,503,800,729,503,282,800,500,502,503,501,501,500,504,481,502,872,503,501,649,501,502,501,502,649,30,649,501,800,502,503,502,196,503,800,16,593,504,502,405,800,649,501,800,161,800,502,502,501,502,282,649,501,800,800,500,282,485,731,503,282,502,500,800,282,800,16,502,504,503,501,800,502,502,649,649,16,501,502,301,500,502,500,649,502,649,4,503,282,503,649,282,502,500,16,222,282,502,649,500,503,16,503,501,504,500,803,800,503,501,501,500,107,503,503,649,501,282,282,552,501,56,501,504,502,482,800,503,500,502,800,501,502,372,282,502,500,649,503,800,800,800,503,503,649,504,503,503,501,53,500,649,502,282,500,800,649,649,326,502,649,282,107,502,501,500,503,501,503,19,543,503,282,503,502,500,503,502,649,500,649,103,282,800,16,500,502,501,800,502,502,583,100,500,649,649,282,800,501,649,800,587,649,503,16,501,501,649,500,500,800,800,502,800,766,649,649,411,500,500,107,800,502,800,193,800,500,800,503,501,500,16,502,502,800,500,502,823,501,649,502,503,16,800,502,501,501,649,282,185,800,501,500,282,500,500,500,107,503,649,800,501,800,503,503,282,282,502,342,503,503,503,502,800,500,649,501,282,282,501,800,504,504,800,502,863,503,584,649,502,501,898,503,649,800,500,500,502,502,16,349,500,500,649,658,502,503,842,502,502,282,501,649,500,352,835,501,800,504,502,800,16,501,503,500,502,500,503,503,502,649,501,282,354,503,649,501,649,503,502,500,800,800,501,500,502,502,800,501,500,500,501,501,107,649,501,800,16,800,504,107,649,294,503,500,126,499,800,502,71,649,398,501,501,800,502,501,282,649,150,16,800,501,649,282,638,931,502,649,502,503,501,16,502,649,800,649,649,125,501,282,502,503,502,282,503,397,800,503,800,649,502,62,503,705,502,282,885,501,502,800,800,384,649,502,501,502,649,649,503,800,807,502,500,649,501,503,501,800,800,501,282,16,501,403,501,102,503,501,649,800,500,502,501,800,649,502,800,800,500,800,649,282,263,649,500,500,449,502,126,500,501,502,800,501,16,500,282,502,503,500,501,502,800,282,649,503,501,500,502,800,839,503,501,16,502,500,800,503,502,296,518,502,216,649,922,649,501,649,502,502,502,49,501,502,501,491,93,84,501,502,500,649,502,282,857,149,500,502,502,16,649,649,107,210,503,503,107,800,649,503,388,501,741,401,501,800,262,503,503,800,736,500,649,500,800,502,500,800,502,500,503,500,800,501,503,282,502,649,649,800,503,649,800,672,500,501,705,376,503,528,502,502,503,800,649,502,502,500,501,649,500,502,500,503,706,10,282,502,500,107,502,282,501,649,649,501,800,500,503,503,503,500,504,503,503,998,500,501,501,501,649,649,282,502,649,503,648,502,502,173,503,649,500,500,500,503,800,745,800,282,500,501,501,609,800,501,649,800,224,649,800,800,501,501,282,500,502,282,502,649,501,503,649,365,800,649,502,103,502,503,502,282,705,501,503,16,800,800,502,282,502,649,501,501,502,503,649,503,501,166,501,277,809,503,16,939,500,16,502,649,139,503,185,282,103,800,502,107,500,502,800,800,501,502,502,649,282,800,503,800,649,800,502,503,16,649,649,800,816,649,503,502,503,503,140,282,800,503,282,649,649,501,503,973,800,501,362,501,502,502,501,502,500,800,500,503,502,502,649,503,502,500,807,500,800,649,282,825,501,776,649,649,502,577,501,622,282,649,501,501,503,500,649,500,502,800,501,16,500,800,800,502,671,502,800,649,500,503,502,282,800,800,501,450,649,649,502,500,49,500,296,502,503,501,649,501,800,501,800,500,501,282,800,502,500,153,649,500,800,665,308,800,800,282,502,800,502,800,501,502,503,500,501,596,503,503,16,107,503,501,800,649,502,800,500,503,500,503,96,649,800,501,16,976,282,500,500,649,500,500,503,501,501,649,502,500,342,501,502,742,501,282,501,282,503,800,282,649,502,800,127,800,502,501,649,502,142,432,619,502,154,649,649,649,493,503,503,649,500,800,800,503,282,858,501,800,16,504,500,800,501,500,501,500,501,500,503,501,103,502,282,503,500,500,800,501,800,800,403,800,800,800,107,282,503,209,649,502,282,502,800,503,800,503,389,820,503,503,503,504,502,282,502,503,502,800,502,649,9,504,501,503,501,800,396,500,474,282,502,649,504,282,282,500,649,501,502,501,800,16,649,649,103,120,800,16,649,501,282,296,649,501,303,503,502,501,500,16,282,502,16,436,500,649,503,800,649,649,800,502,503,282,501,503,498,800,501,16,503,501,500,503,500,502,500,184,501,500,800,649,807,649,500,501,500,500,521,503,502,503,672,800,649,500,282,282,800,800,859,827,503,503,649,501,725,502,504,503,103,501,503,388,282,502,649,649,502,501,570,503,282,800,500,649,500,501,649,649,501,500,502,500,837,501,315,502,500,501,798,501,500,501,503,800,500,800,503,501,503,649,970,649,503,501,649,502,800,500,16,500,501,649,800,649,502,501,649,500,504,649,553,500,502,687,503,800,504,444,502,501,649,501,758,649,800,501,502,800,502,282,649,503,503,800,683,282,502,502,800,800,504,500,501,830,504,800,501,502,501,800,502,800,800,502,16,766,800,800,649,500,502,649,502,282,649,800,649,800,282,503,501,503,500,502,174,501,501,800,501,649,504,649,501,649,500,800,649,501,501,503,502,282,501,501,103,282,982,800,316,503,581,500,800,800,502,502,16,75,502,502,501,649,649,16,649,503,800,502,16,427,502,500,282,800,800,503,503,16,502,649,800,501,649,501,80,502,502,501,502,800,282,501,503,800,500,282,503,649,107,502,502,800,501,503,800,503,500,181,649,500,503,502,501,800,282,501,501,800,800,500,502,558,282,502,649,282,649,774,800,503,500,282,800,800,503,502,503,502,649,501,285,649,928,501,500,502,503,282,500,800,503,282,501,16,501,500,649,501,503,649,16,282,500,224,800,282,502,502,800,800,16,502,503,800,800,364,649,502,771,501,500,503,501,500,688,433,502,282,16,649,500,502,818,976,501,503,800,501,30,649,502,501,649,800,500,503,503,503,649,500,502,282,503,513,502,503,503,602,282,282,16,501,107,376,22,800,502,282,502,504,800,282,514,501,502,282,1000,649,500,800,502,501,649,503,500,502,501,800,834,502,665,503,148,282,503,282,800,800,367,282,291,502,501,500,500,501,502,502,146,503,501,500,282,188,649,500,503,649,500,800,503,649,282,500,502,915,282,16,800,501,649,847,503,502,504,705,649,649,815,282,649,500,501,503,500,282,755,800,16,471,800,649,800,501,502,649,503,503,500,503,649,502,800,501,502,282,501,503,501,282,800,649,503,103,282,515,800,649,649,503,390,502,800,500,503,282,503,800,439,649,649,502,649,502,800,274,649,501,282,800,501,180,503,502,800,649,800,500,800,502,800,800,800,501,649,800,800,501,649,649,502,502,502,673,649,437,500,501,336,784,195,500,501,500,800,501,503,500,503,501,893,502,503,503,282,59,115,800,657,500,448,503,500,155,649,126,500,500,649,504,501,503,507,500,282,500,502,986,503,503,282,649,375,501,581,501,100,503,501,502,502,800,503,503,282,502,16,713,503,16,800,800,800,500,503,800,502,502,800,282,503,800,503,800,500,649,503,649,503,702,503,649,502,502,10,501,501,649,503,501,313,502,503,503,501,501,500,502,649,503,502,282,501,282,435,282,800,800,237,502,504,649,99,500,502,107,502,649,501,503,501,503,592,503,649,501,502,502,800,428,16,626,502,282,502,77,502,503,502,503,458,500,499,886,503,649,649,501,502,500,502,649,503,500,682,800,504,649,800,6,502,16,800,500,503,800,503,873,500,649,500,282,501,903,503,502,501,500,503,880,692,649,800,649,502,503,800,839,503,649,501,502,649,16,649,649,503,422,502,501,501,502,502,503,800,502,649,501,649,649,501,503,282,348,502,107,292,500,282,501,503,321,503,800,645,500,501,502,500,502,649,501,501,469,501,504,500,667,800,503,503,500,16,67,501,800,800,500,501,502,649,224,107,320,649,502,502,502,800,502,649,501,502,800,503,800,503,503,649,501,503,502,85,800,800,500,500,649,500,649,252,59,500,649,800,503,501,800,504,500,649,800,503,800,502,504,502,649,503,500,282,502,500,502,800,503,502,800,504,503,642,427,500,649,282,503,500,800,649,503,500,934,504,502,649,502,903,502,800,502,282,500,649,503,502,500,800,800,500,800,800,502,16,501,836,503,503,502,503,649,501,500,168,501,649,501,800,369,649,501,282,800,501,585,500,649,501,501,502,502,371,503,501,502,800,649,500,501,16,649,500,500,263,501,729,501,502,816,800,649,502,16,649,501,501,800,649,53,336,500,800,649,500,502,501,503,16,649,502,502,800,800,502,397,500,705,800,500,649,274,501,800,500,800,502,503,800,503,649,501,501,503,649,500,500,800,84,800,649,500,501,282,502,800,800,649,501,912,800,649,649,877,501,503,800,807,500,649,832,501,500,500,503,501,239,16,170,503,705,256,282,800,800,763,578,501,151,800,500,800,649,500,501,168,504,502,502,649,503,649,282,501,501,501,800,503,501,800,502,503,649,503,503,859,502,502,500,501,337,721,501,800,649,581,502,822,248,503,503,824,151,282,16,474,502,737,502,819,502,500,503,504,502,649,502,500,500,387,502,484,503,502,282,649,500,649,503,107,649,800,800,501,800,501,502,800,282,16,500,503,501,800,500,503,503,500,852,503,282,500,501,501,500,502,800,649,841,500,457,649,800,800,500,502,586,16,502,502,501,502,503,800,500,649,503,501,16,800,800,504,282,501,501,649,503,503,502,16,282,272,800,800,500,649,543,502,282,16,649,800,282,800,500,868,500,649,315,649,502,800,649,387,282,649,502,649,500,504,501,503,503,561,504,501,800,649,890,502,503,501,800,500,503,502,800,502,649,633,503,649,800,649,649,503,504,649,503,649,409,282,800,502,500,501,503,107,16,504,649,649,504,501,500,308,500,501,649,503,502,282,501,500,500,649,503,500,27,502,859,800,501,649,282,500,503,282,502,503,282,649,892,649,240,501,649,649,502,500,100,649,502,504,649,504,16,501,800,502,502,264,800,663,282,800,800,503,501,649,800,800,74,800,503,500,503,649,282,282,282,502,608,649,16,500,501,501,503,649,503,800,800,279,500,649,502,500,501,500,503,16,503,800,501,183,649,377,503,649,503,705,500,503,500,502,800,500,501,649,800,649,649,503,800,649,910,500,619,800,502,649,503,149,502,741,649,800,500,649,351,500,800,649,504,503,107,501,500,617,649,800,500,649,503,942,501,502,800,501,800,502,502,503,800,501,501,649,500,500,500,500,282,503,353,503,503,501,502,502,649,649,807,649,503,502,500,649,282,501,501,500,649,500,231,500,504,800,3,16,103,800,107,501,501,502,500,503,549,501,503,501,500,649,502,649,649,502,800,800,800,504,16,501,254,503,107,649,16,649,500,649,503,500,282,502,649,501,502,502,282,503,500,501,501,501,503,800,800,500,282,800,649,649,501,504,500,500,500,502,800,800,501,155,501,501,16,800,16,500,649,943,503,800,16,800,503,800,800,282,800,16,260,649,502,501,282,502,503,800,775,502,501,503,501,502,504,800,501,649,500,282,501,501,649,649,500,282,502,773,406,503,800,746,502,800,78,502,649,502,282,500,500,503,500,649,518,500,502,282,282,500,649,800,500,500,500,502,500,502,800,800,649,773,504,282,500,205,500,800,504,500,800,16,649,800,500,503,800,502,500,502,211,649,649,89,930,500,649,501,501,502,800,800,500,502,800,500,16,634,502,503,501,849,800,503,649,969,575,800,501,500,800,188,500,282,502,800,501,500,502,503,16,502,502,501,16,814,502,800,501,503,649,502,800,502,503,502,500,501,800,503,649,502,502,500,649,501,500,501,500,501,282,502,503,800,649,500,282,501,649,500,103,501,649,500,775,503,501,503,501,500,500,500,503,500,800,107,649,501,82,107,800,800,502,320,800,502,502,501,649,649,16,501,16,501,500,500,500,500,103,700,649,502,503,800,649,500,502,649,477,501,800,800,282,502,649,501,503,324,501,500,31,737,649,800,501,503,979,501,800,501,501,500,649,123,500,501,503,501,800,500,502,649,282,501,16,501,800,500,502,282,502,503,758,501,282,500,502,216,329,503,594,500,503,800,800,800,107,502,649,557,503,800,503,282,501,503,500,503,800,459,501,501,282,649,501,282,503,501,800,501,501,501,16,501,503,501,800,503,501,649,503,760,502,503,503,649,501,649,107,501,501,500,800,501,649,503,503,503,501,16,282,191,649,501,64,502,935,800,502,503,282,500,502,503,800,503,503,800,503,132,282,800,502,267,649,502,503,800,457,502,503,72,258,501,502,800,504,282,649,502,513,16,503,503,142,503,649,500,375,501,674,206,560,503,303,502,502,503,103,504,500,501,501,503,649,503,502,500,649,649,500,517,503,502,503,649,743,649,500,282,502,876,649,318,649,649,483,500,500,500,501,501,503,282,500,649,503,16,501,282,503,500,502,501,501,800,501,448,103,500,501,800,800,107,503,800,282,502,500,503,282,502,800,500,500,503,800,500,649,502,501,649,563,800,502,77,886,800,502,36,501,500,282,282,282,504,800,501,500,501,500,649,800,502,503,501,282,800,186,503,501,741,282,500,503,503,504,500,800,500,500,503,866,107,800,282,504,460,501,500,503,501,500,800,501,503,500,649,800,504,282,500,16,75,107,504,500,800,503,501,502,501,16,501,16,503,502,500,57,628,502,16,500,503,353,500,502,501,800,282,386,500,800,282,500,98,501,569,729,503,500,501,282,500,501,800,649,800,649,501,502,500,16,501,649,500,503,282,500,501,334,500,501,649,282,503,282,649,503,500,501,501,649,107,678,800,800,649,500,649,502,500,282,649,500,16,503,649,643,503,502,862,649,282,800,501,503,501,502,800,500,501,649,800,117,649,501,500,800,504,649,500,282,501,649,719,800,649,503,649,500,800,649,649,501,501,282,502,282,258,500,282,16,502,500,500,500,649,502,800,794,282,16,501,501,500,749,800,503,800,502,500,282,503,501,649,501,503,501,500,215,800,800,282,503,501,501,501,800,800,649,649,16,649,800,800,501,884,859,503,500,947,962,282,16,500,500,502,500,501,502,649,500,500,500,649,502,500,9,500,501,500,800,649,500,107,502,501,503,501,649,503,694,649,649,502,649,500,500,504,500,501,800,503,282,502,107,502,500,800,649,503,800,500,649,503,503,502,932,242,501,502,503,282,501,16,649,16,455,500,103,649,503,800,501,503,800,500,501,357,800,502,305,503,282,503,179,800,501,501,800,500,502,502,500,501,376,732,649,35,800,502,503,503,892,649,503,502,501,800,406,800,501,649,800,502,800,502,282,502,502,800,500,16,282,502,500,282,503,563,904,649,649,649,282,500,500,503,800,501,800,761,649,649,502,503,16,982,502,800,223,500,96,502,282,16,500,649,500,282,502,282,649,503,649,501,503,502,282,649,399,500,16,503,282,282,220,800,800,503,500,500,501,282,500,770,503,500,504,500,649,659,501,501,282,649,500,158,501,649,282,562,649,503,800,501,502,16,107,500,649,800,649,649,705,649,911,649,503,800,16,500,500,16,726,649,504,500,800,649,501,649,502,503,502,500,800,282,503,16,500,282,500,649,800,282,502,500,502,649,282,500,800,500,649,501,501,649,502,503,800,282,501,504,503,504,649,16,282,502,800,690,800,501,800,533,649,502,649,504,649,502,500,502,858,500,502,282,500,800,800,800,282,503,504,500,282,502,503,502,502,800,503,800,500,500,501,503,503,800,504,16,501,502,504,800,502,800,504,800,502,503,649,800,935,649,502,500,800,649,800,504,649,500,501,501,282,282,800,503,103,800,501,503,503,282,500,107,419,480,503,282,649,456,649,282,800,282,502,503,502,500,16,503,503,800,649,282,16,649,16,28,217,649,649,502,500,282,504,500,789,649,500,502,500,649,500,649,501,649,502,500,800,282,500,800,800,800,282,501,500,501,282,503,503,649,503,649,649,282,500,502,16,502,501,502,503,649,501,500,800,502,500,503,501,282,504,800,502,503,589,501,500,502,800,282,502,649,503,800,649,88,649,649,503,282,501,649,500,503,504,800,408,800,789,501,503,800,500,800,649,501,282,649,800,16,501,501,105,282,800,800,16,502,501,500,501,503,503,502,543,503,500,501,905,203,16,162,649,503,800,800,393,800,501,674,282,800,649,504,501,502,800,737,503,282,800,800,502,800,649,649,503,503,800,501,504,501,500,500,501,167,503,501,649,16,800,502,649,649,107,649,503,282,500,503,501,502,500,421,915,405,500,503,649,501,387,649,649,49,204,766,649,501,282,504,503,500,502,502,270,649,503,649,502,500,502,800,503,501,800,502,800,282,500,282,503,502,800,885,504,503,800,100,282,282,500,502,501,502,500,800,16,500,502,501,500,649,503,501,649,503,503,500,649,649,814,504,800,507,830,649,502,282,503,800,500,501,407,501,501,107,536,800,649,504,649,649,800,107,800,16,502,16,970,649,868,649,649,503,501,565,501,502,800,501,500,500,101,503,503,134,800,502,16,500,502,501,800,502,500,649,649,502,501,470,500,503,501,16,503,800,501,503,503,502,502,16,282,649,501,501,800,501,504,649,282,16,502,800,800,500,800,800,740,501,917,500,503,800,800,274,16,502,649,503,500,500,649,672,503,649,503,502,500,282,502,502,503,800,649,503,503,282,465,501,503,649,504,800,500,502,800,501,503,282,282,501,282,800,501,501,502,502,502,500,502,649,502,649,882,502,649,500,103,107,649,503,282,502,649,800,503,272,502,502,851,500,689,503,503,500,501,16,501,649,501,800,502,800,21,501,502,800,282,649,800,503,503,503,884,800,500,503,501,500,806,566,800,809,501,16,500,501,501,567,821,649,985,501,282,500,800,502,282,778,502,555,503,503,282,501,501,501,282,800,800,502,593,800,502,486,800,503,282,501,649,800,282,16,500,502,503,649,282,502,800,500,649,649,501,800,649,503,503,426,501,282,633,503,800,800,649,503,501,649,502,16,649,649,649,649,489,109,649,501,503,503,501,800,748,501,649,500,503,502,500,800,593,503,503,788,800,500,502,500,501,649,501,10,500,800,503,800,503,192,500,503,500,503,500,502,501,800,502,282,282,282,500,500,649,649,800,500,500,501,282,480,501,731,800,649,503,649,649,800,649,500,502,501,478,500,282,854,800,500,504,501,800,800,800,282,502,282,619,282,503,502,167,503,282,503,728,503,501,649,501,502,502,502,649,800,500,502,282,800,804,800,649,501,649,503,503,800,372,502,12,300,649,502,501,160,499,503,649,502,649,500,500,503,502,501,820,289,503,503,107,501,503,502,952,500,502,282,46,503,449,500,502,800,804,503,73,649,800,500,930,502,501,760,649,501,500,501,107,500,649,800,973,800,282,502,500,800,501,107,503,502,504,500,800,907,649,501,649,800,503,503,800,103,501,500,649,501,800,500,500,503,503,502,800,501,500,501,800,649,800,559,282,508,649,500,500,500,879,502,502,197,800,800,501,500,41,501,649,500,800,429,500,500,112,475,500,501,560,500,282,282,649,500,800,502,500,800,800,282,800,649,502,503,503,16,503,503,500,634,503,504,649,503,16,502,502,649,817,959,16,501,800,800,501,282,503,837,225,502,985,800,107,799,501,302,500,282,500,501,800,282,503,65,500,341,258,501,503,501,649,500,16,503,531,800,503,501,587,500,501,503,501,649,503,800,503,504,961,500,623,282,800,500,649,282,649,503,503,649,199,282,800,500,502,500,649,503,500,502,800,649,500,500,649,503,500,501,800,800,649,502,502,477,500,800,500,500,500,282,503,503,501,502,502,502,800,1000,500,500,282,500,800,503,649,503,501,649,800,500,800,800,649,800,352,503,649,503,500,501,16,394,340,501,814,502,800,501,500,282,549,800,800,795,2,649,502,502,649,800,501,503,500,501,16,501,800,649,800,302,16,800,800,503,500,239,503,503,503,503,503,501,282,503,705,649,800,500,59,282,385,649,500,502,16,983,502,649,501,503,503,800,800,800,500,318,800,503,500,282,500,16,502,503,800,800,800,503,501,649,503,503,502,500,500,800,501,503,103,279,282,504,631,500,503,502,800,503,649,500,502,502,800,503,649,500,502,502,649,503,282,500,500,939,503,649,503,500,800,501,503,714,486,503,800,282,502,282,503,503,501,503,649,501,649,649,500,501,500,502,800,800,503,820,800,16,502,463,649,800,800,503,16,503,800,502,500,500,282,800,501,502,504,500,500,501,649,649,502,501,502,649,649,502,500,936,500,800,158,502,500,649,503,503,500,501,501,503,503,500,800,29,500,649,501,500,800,142,800,282,16,500,503,500,649,501,148,282,500,796,501,504,500,502,500,800,16,503,500,443,503,501,503,16,400,800,800,16,800,503,649,502,502,800,16,502,500,491,500,501,503,800,503,502,649,800,501,108,502,423,502,725,501,504,501,503,800,800,696,503,503,16,501,500,649,282,501,41,421,649,500,855,501,503,800,282,502,103,503,501,503,502,503,649,503,60,500,503,354,210,503,503,282,800,87,504,800,500,649,282,501,800,107,800,867,501,503,500,501,501,500,34,501,501,349,800,503,503,132,501,503,800,800,500,502,501,503,501,16,203,649,979,649,649,500,501,504,800,282,649,800,501,879,855,649,501,501,500,800,800,502,501,502,502,649,500,649,502,503,705,67,500,297,800,282,500,503,503,534,501,138,458,501,282,649,502,500,653,800,500,649,502,501,800,282,504,401,503,282,503,845,503,503,503,253,16,500,502,800,800,282,503,649,503,503,649,500,504,800,502,649,502,504,502,502,501,500,800,503,558,800,501,503,836,17,502,649,502,500,649,504,800,649,800,16,500,282,501,800,503,500,502,318,282,503,649,503,373,501,502,500,504,500,649,500,282,503,500,529,501,501,16,500,649,649,102,771,800,800,641,501,103,649,501,502,282,501,503,781,500,800,16,501,800,282,800,501,501,282,800,649,502,853,502,500,502,540,649,649,16,800,502,16,503,800,501,502,501,502,478,800,800,162,502,16,501,501,502,500,502,503,282,800,500,800,500,649,800,800,800,500,800,800,649,282,503,282,429,282,649,500,331,503,282,501,800,99,502,501,501,500,500,501,502,649,502,800,800,282,800,913,649,503,500,502,501,503,800,800,16,532,500,502,649,503,503,800,503,649,501,649,502,501,800,649,107,800,800,500,800,501,649,282,500,501,649,717,502,554,503,500,649,800,660,504,502,397,502,501,503,473,500,649,501,501,502,503,251,649,502,503,502,649,800,800,502,800,503,800,500,502,501,500,502,649,500,503,800,16,400,657,800,634,800,500,730,502,501,504,500,500,652,282,282,100,16,800,502,800,503,503,880,652,500,502,649,800,459,501,502,501,503,649,649,572,705,800,800,503,16,501,500,641,800,503,649,800,284,502,503,649,800,647,678,503,649,502,774,501,500,501,282,501,502,354,502,771,500,502,500,501,502,649,503,213,500,502,503,503,503,502,649,502,502,282,692,501,649,800,501,514,500,282,500,742,800,501,982,504,800,500,800,503,16,649,500,500,282,649,503,800,649,503,502,282,503,502,503,107,504,502,503,559,500,500,502,500,16,649,502,501,504,649,649,649,800,800,181,500,800,501,501,500,501,502,501,670,501,501,800,649,16,705,800,503,800,501,800,503,502,800,800,364,500,500,503,649,501,649,502,501,282,503,16,503,500,16,16,800,282,800,503,501,649,500,503,503,282,503,800,500,800,649,730,649,800,501,16,503,504,504,282,503,502,500,501,502,649,504,915,503,503,800,500,282,649,503,994,918,649,800,417,503,500,501,503,500,649,504,503,16,503,649,502,502,503,501,501,649,503,800,649,501,649,500,16,501,800,501,694,500,800,649,282,649,500,386,649,501,503,501,800,800,503,282,503,649,500,16,649,649,502,282,501,502,649,503,649,820,502,503,107,800,500,800,142,649,502,502,500,312,500,503,502,800,282,266,501,649,649,502,503,765,501,503,649,502,649,500,16,502,503,179,649,816,800,501,530,500,800,95,220,500,500,649,502,503,800,503,501,500,649,6,501,649,501,16,282,503,649,282,502,800,395,502,649,500,500,800,501,501,649,800,501,649,800,807,800,503,500,16,800,503,777,501,502,502,24,451,282,503,16,282,500,502,87,143,501,16,501,800,500,16,502,502,800,93,16,503,502,800,649,800,282,500,800,501,800,649,503,459,500,501,632,500,649,261,502,500,908,302,501,282,800,800,503,500,500,800,502,501,893,502,649,621,16,282,981,649,649,503,501,503,649,282,502,800,649,800,282,503,500,502,800,501,503,501,503,500,500,800,282,16,800,500,649,500,503,500,501,107,500,500,502,502,649,500,16,649,649,501,649,649,500,484,502,503,504,276,800,649,503,502,501,282,103,503,800,500,649,500,649,500,649,16,800,800,800,503,800,282,874,649,282,500,649,649,501,649,800,259,502,503,800,800,503,282,282,649,649,770,501,502,502,649,649,502,502,800,502,501,502,501,282,876,649,649,221,508,502,800,500,501,501,501,501,501,16,800,282,503,577,649,649,803,649,116,503,502,503,649,502,500,800,271,167,585,800,282,282,500,22,502,282,282,282,501,503,502,649,502,649,939,504,96,6,812,649,649,800,282,500,999,800,800,107,705,903,500,500,3,501,649,500,502,501,800,217,500,800,524,500,649,500,500,502,800,502,16,500,649,783,501,282,502,800,570,800,503,502,500,649,502,710,16,800,501,866,500,503,649,503,503,649,503,282,501,282,989,282,800,503,548,649,351,800,500,107,500,649,649,500,649,649,500,282,282,500,800,282,800,282,16,501,500,503,35,503,649,500,503,649,238,504,800,500,502,499,800,800,809,282,800,649,204,649,16,501,878,503,503,800,500,800,503,282,800,649,800,500,502,630,502,800,500,502,282,501,502,800,833,810,502,800,38,501,501,649,800,502,649,503,279,628,503,800,503,500,500,800,503,501,16,502,649,501,554,500,502,800,502,500,503,649,502,800,282,500,800,16,649,282,503,282,503,483,500,649,502,501,800,39,501,500,649,234,282,503,800,649,445,503,504,651,194,503,649,800,502,501,501,800,503,649,649,502,800,581,649,800,16,800,649,800,649,501,500,16,500,705,16,649,649,5,503,503,800,502,503,800,649,502,596,501,887,502,503,502,500,255,503,503,800,503,502,119,649,649,16,503,641,800,503,501,282,500,504,334,649,282,500,545,500,800,503,170,500,800,649,502,544,800,800,705,649,503,502,649,282,649,503,800,649,649,502,501,351,800,16,966,502,500,502,502,502,800,503,500,103,501,282,649,800,800,503,502,502,503,502,282,502,282,649,500,311,329,502,503,649,575,649,282,649,500,773,502,501,879,282,282,649,64,503,501,103,503,649,649,502,501,503,502,649,502,584,16,501,670,282,502,500,501,649,818,504,501,282,845,504,282,503,800,503,501,16,649,107,16,503,800,649,800,649,800,800,282,501,649,282,501,271,502,504,502,247,800,501,16,503,16,649,500,649,502,800,500,502,282,16,649,800,501,800,282,503,501,16,107,269,501,465,750,800,501,649,502,502,800,500,16,649,501,800,502,500,107,800,704,649,501,282,500,502,800,503,282,502,500,71,282,800,800,65,699,503,282,500,423,500,503,649,800,503,500,800,777,800,500,800,500,502,800,649,501,800,16,800,649,500,800,501,504,282,649,503,886,502,566,501,800,16,502,282,504,103,503,501,504,503,45,504,500,800,503,649,500,501,502,649,649,502,501,503,501,504,502,107,16,282,502,800,282,501,502,501,593,500,649,800,709,800,502,503,73,503,674,501,500,974,500,16,282,103,503,649,501,503,16,503,800,514,501,504,502,503,800,800,16,501,501,282,502,503,16,649,501,500,42,500,500,500,503,500,502,502,503,502,501,502,504,500,502,16,504,16,442,500,500,800,501,501,503,800,282,500,679,800,800,649,925,649,771,53,992,500,501,500,649,289,503,503,501,319,503,282,649,501,501,500,501,501,810,503,500,88,800,501,500,414,188,500,754,800,649,502,404,649,426,501,107,13,800,649,500,502,502,502,503,800,800,800,649,502,503,503,800,142,800,501,807,16,275,800,503,501,500,800,502,500,502,168,133,282,580,503,503,503,502,235,649,741,502,800,500,542,503,800,503,504,500,75,800,500,800,502,500,500,649,502,502,503,502,504,501,502,503,503,649,502,502,504,800,500,500,500,500,503,800,282,863,282,800,937,649,886,282,800,501,500,501,636,649,800,503,800,800,500,502,649,760,503,502,500,501,142,503,502,697,500,503,649,500,800,503,502,649,500,501,649,502,500,503,501,931,500,503,502,500,503,503,649,800,161,500,649,503,800,282,334,649,502,103,504,503,879,895,649,504,107,501,503,16,282,282,827,503,800,541,531,282,649,504,501,501,502,282,16,501,501,503,800,819,500,500,16,503,649,502,500,502,503,282,800,502,500,503,282,503,16,501,75,649,649,503,501,500,506,502,800,16,649,503,500,503,107,501,502,649,800,282,501,501,754,800,109,218,800,800,501,503,800,649,649,16,500,649,800,500,282,775,649,282,977,926,649,502,800,649,16,800,502,501,800,800,500,649,502,502,282,649,16,776,649,501,503,649,503,503,282,97,500,503,585,282,503,503,589,500,501,807,649,105,500,282,282,503,305,28,503,800,649,503,282,504,500,502,16,503,282,282,931,500,800,127,157,649,501,501,282,800,502,282,800,800,926,503,503,502,282,649,504,800,504,501,649,800,434,503,502,618,337,649,503,501,500,503,502,107,800,500,503,649,500,282,800,500,800,503,282,800,107,503,837,800,501,800,501,502,649,504,502,503,649,504,282,500,800,649,654,503,649,502,829,501,649,282,285,502,501,649,502,500,800,649,107,503,503,649,502,825,500,503,294,500,504,649,500,501,649,503,171,649,800,649,502,705,501,502,501,649,500,503,282,453,501,501,500,16,800,282,282,16,800,500,16,282,649,503,503,502,504,501,500,502,503,503,282,282,147,800,649,282,501,502,503,282,500,502,502,800,649,282,502,800,800,107,502,282,16,649,500,501,240,500,800,800,800,501,649,502,501,380,503,500,649,635,800,500,502,529,16,800,649,638,501,282,503,500,502,502,502,649,504,101,502,503,501,503,282,503,800,504,501,501,282,649,800,502,800,644,503,500,502,501,502,282,501,800,501,501,548,883,501,282,280,800,649,501,649,800,649,501,16,649,502,649,800,503,500,502,503,503,705,502,800,16,649,649,649,649,500,282,800,500,503,540,800,16,495,649,107,503,504,341,502,502,237,957,237,649,502,785,649,800,800,500,649,500,282,503,282,800,800,649,501,501,501,883,500,502,500,501,649,502,800,502,800,502,500,503,649,800,502,800,990,649,502,501,503,649,807,501,649,120,500,500,649,16,502,800,107,800,282,800,503,501,502,502,502,282,500,500,502,800,76,800,502,588,608,500,502,501,100,501,79,800,500,692,502,282,649,500,502,500,230,500,502,502,343,718,282,503,982,502,502,255,500,282,217,800,800,500,503,961,501,649,649,649,649,800,16,800,800,454,502,800,16,501,503,502,107,107,502,800,504,282,16,649,501,282,954,501,649,649,500,500,500,16,502,800,500,649,649,501,282,501,282,500,94,502,502,501,500,649,503,662,500,800,500,800,502,502,305,800,502,282,500,500,503,649,503,502,501,800,503,503,503,501,503,501,649,282,500,501,649,649,649,502,16,500,647,665,649,649,500,500,800,649,501,502,500,107,500,282,800,800,504,649,501,500,502,502,800,649,500,800,282,649,649,503,800,16,502,503,500,504,500,504,649,282,800,501,655,800,107,649,500,800,502,500,103,234,649,501,501,349,500,16,503,503,504,503,503,564,501,649,649,282,649,160,282,501,649,501,501,976,503,502,16,504,500,16,503,500,503,503,571,546,502,649,16,501,502,282,800,103,502,649,500,699,502,774,502,800,649,503,501,800,800,502,794,800,800,513,649,649,502,282,344,689,502,500,800,500,800,800,502,500,501,504,502,282,649,501,503,282,233,502,502,649,501,500,500,503,800,914,502,649,502,501,500,502,649,502,502,500,929,501,800,500,503,500,500,504,800,788,282,502,554,74,503,282,16,500,261,502,282,649,800,800,800,939,649,800,502,668,502,501,95,800,500,503,504,53,912,501,800,282,282,500,500,33,501,503,502,282,649,16,501,503,16,504,501,503,649,584,500,649,501,649,501,649,800,282,501,16,568,282,800,649,649,800,800,182,501,282,800,649,501,502,16,501,800,489,16,800,503,800,366,800,800,504,663,200,501,501,282,502,501,282,503,502,501,226,282,503,800,501,501,502,800,501,16,701,501,649,501,282,649,500,501,500,800,800,649,800,282,800,501,282,500,282,501,282,502,501,500,800,649,503,800,649,501,800,501,649,649,503,698,649,649,649,16,649,501,800,500,649,800,501,800,503,500,500,502,282,501,800,501,501,503,502,500,502,501,800,500,17,649,561,502,501,503,172,800,503,961,500,25,649,595,501,501,800,286,503,504,504,501,649,502,502,16,504,547,500,502,503,504,649,577,501,503,501,282,70,282,500,649,500,500,501,503,649,500,501,16,501,502,503,500,601,502,502,16,504,282,649,649,957,500,500,501,649,800,800,502,800,500,500,502,264,502,523,355,501,500,500,800,800,503,502,649,800,649,502,853,800,78,800,500,980,649,282,800,502,800,800,649,502,800,800,800,502,503,282,649,649,649,503,500,502,649,649,500,649,500,649,464,501,594,501,502,800,503,282,500,500,800,503,800,649,107,22,975,501,800,282,503,800,500,282,649,501,649,502,501,502,92,182,500,502,649,504,612,502,504,502,503,501,800,500,649,800,238,800,502,649,16,502,800,502,501,649,800,16,502,501,649,500,800,649,503,501,503,649,502,503,107,500,503,649,470,502,502,800,800,649,501,501,949,504,649,503,504,501,800,918,501,500,279,501,282,503,503,282,500,501,282,492,503,503,501,503,503,500,503,649,503,800,800,500,502,501,649,501,800,377,800,649,800,16,503,580,501,500,503,501,501,500,800,500,552,459,501,282,502,282,649,502,503,500,16,503,502,503,493,379,502,503,265,16,649,501,16,800,251,800,649,649,573,649,503,649,532,649,649,800,800,502,317,500,800,800,649,501,500,649,502,503,503,93,500,771,503,501,649,503,282,147,501,649,502,800,461,649,501,136,282,649,503,502,160,107,800,649,649,715,503,800,475,500,369,500,502,500,282,501,282,503,800,649,503,500,282,501,501,294,649,501,800,502,16,282,282,500,502,647,503,500,502,503,503,503,93,502,501,500,502,787,503,502,503,282,500,649,16,633,503,649,502,500,282,500,503,502,649,282,500,649,503,649,207,500,707,649,500,800,16,800,649,649,501,500,500,649,502,800,503,502,16,649,800,16,501,503,503,503,503,500,501,502,503,503,800,649,800,649,649,517,500,800,16,67,502,501,807,282,501,800,503,282,800,800,502,501,501,649,500,649,800,649,500,208,503,501,328,649,800,282,867,503,500,501,500,649,495,282,176,649,649,282,127,503,649,649,649,16,649,800,503,649,800,282,504,502,282,209,649,789,502,503,282,282,800,649,504,502,987,282,501,501,500,503,800,504,502,503,16,649,502,649,502,649,649,649,500,502,800,500,800,504,649,800,500,649,500,800,500,503,282,282,500,635,759,500,649,504,318,986,649,649,502,282,649,502,16,649,503,501,500,649,800,502,502,500,789,500,800,501,621,749,282,503,503,503,800,504,800,500,16,649,500,649,649,502,649,649,501,103,800,503,649,813,649,649,502,649,649,800,450,501,502,304,501,379,503,800,969,649,500,282,800,501,649,450,501,501,503,502,502,502,282,800,501,501,503,107,503,565,503,501,501,500,972,800,649,107,800,282,501,107,502,941,501,500,503,800,282,503,954,504,503,649,800,649,800,800,839,502,16,503,107,800,501,500,649,800,649,503,501,282,500,282,545,358,649,503,501,649,501,502,296,501,502,800,16,504,800,502,800,729,500,282,503,800,569,500,800,16,64,466,500,800,282,319,649,501,329,807,649,502,501,500,500,16,648,670,603,800,6,500,502,705,800,800,502,16,501,800,649,299,252,504,649,503,960,504,800,649,500,987,800,500,502,682,800,501,501,503,501,991,649,282,561,800,501,501,503,282,500,649,500,649,739,282,503,503,502,501,502,503,501,502,503,501,800,503,503,503,432,800,800,501,800,800,500,686,800,502,503,500,501,500,503,502,316,502,759,159,502,500,282,503,12,649,800,905,503,282,500,501,800,823,503,649,501,282,649,501,502,283,649,315,800,501,806,649,504,502,500,502,500,501,504,649,501,649,500,503,503,807,501,503,502,500,800,501,501,501,501,500,103,503,649,800,939,282,502,500,503,501,502,800,800,503,800,649,649,501,800,500,649,282,500,500,649,500,503,640,501,663,500,500,800,800,800,503,504,649,503,382,501,501,502,501,500,649,503,275,649,291,649,282,502,679,503,500,500,502,503,503,500,800,649,502,649,282,503,503,800,502,504,649,274,501,657,501,282,503,501,800,649,800,502,649,669,502,501,649,502,502,687,700,800,502,649,501,500,649,282,503,501,501,501,503,866,985,282,649,502,649,500,502,649,800,800,107,501,16,800,503,282,500,503,103,649,800,501,500,649,500,800,503,649,282,500,282,500,501,500,500,501,282,16,503,282,16,282,502,503,800,192,800,501,649,800,649,504,601,500,503,282,957,282,282,800,503,502,501,800,503,800,501,282,501,501,649,649,501,16,501,126,800,946,501,649,500,503,107,502,502,613,501,502,282,501,503,800,282,500,800,500,16,923,500,711,502,649,501,800,503,501,500,502,621,503,501,649,800,649,500,649,500,502,501,649,500,502,501,503,89,502,503,800,800,503,501,503,827,372,800,162,16,282,500,501,503,649,503,500,503,649,502,282,501,503,501,649,800,800,527,501,282,504,16,649,705,501,649,649,16,502,103,16,503,502,507,503,500,885,500,649,282,205,800,500,510,502,689,500,502,503,20,627,502,502,501,654,501,800,502,501,282,500,649,282,501,503,16,500,501,503,503,503,649,649,649,800,282,503,800,502,16,16,501,649,800,800,649,649,503,501,500,502,800,500,100,282,649,502,503,98,501,649,501,500,500,649,649,502,501,282,500,282,501,649,502,800,500,501,503,503,500,502,503,800,800,502,500,501,263,659,649,282,649,502,800,503,282,503,812,649,501,800,282,282,500,496,182,800,282,911,500,503,800,755,501,500,800,503,649,503,502,649,800,503,649,800,282,500,500,501,503,341,502,504,502,501,282,649,500,501,500,500,663,503,500,502,649,501,500,800,500,649,269,503,504,501,282,282,501,705,649,503,502,800,800,800,500,649,503,649,34,502,649,501,649,800,503,282,800,504,649,282,501,500,240,501,649,649,34,500,282,500,500,649,800,503,500,800,1,500,503,500,501,282,501,104,301,664,500,649,584,800,500,800,502,649,842,501,649,500,16,282,649,502,282,649,388,501,501,502,502,503,502,282,504,649,501,649,800,649,501,649,800,282,500,500,800,727,503,502,16,282,649,649,649,500,282,502,649,504,501,501,800,204,1000,282,282,502,107,500,800,503,649,282,501,500,103,800,907,800,502,52,501,502,107,282,501,502,501,649,16,500,503,649,500,649,501,800,503,503,501,503,800,501,282,424,502,318,800,501,501,503,16,503,502,800,916,474,649,501,502,502,16,500,800,152,500,500,501,649,500,43,503,504,649,504,501,501,455,800,800,502,395,501,649,502,502,649,649,503,503,501,649,500,572,526,649,502,500,800,997,282,800,500,500,800,912,107,282,649,694,504,500,502,500,800,501,504,503,800,501,503,374,649,503,441,503,694,503,501,500,800,649,501,504,500,800,16,649,500,504,244,500,503,500,503,502,502,649,649,503,649,500,500,649,503,449,107,649,800,800,503,502,282,649,696,800,649,649,649,800,500,502,503,500,649,500,705,800,180,502,500,500,500,703,502,503,503,800,501,503,501,503,930,16,500,667,649,502,697,503,649,502,502,282,502,770,502,503,16,800,500,502,501,800,502,800,500,500,501,649,502,282,649,649,649,800,800,501,282,649,502,501,282,503,502,948,16,503,800,887,503,649,388,800,649,393,500,501,649,503,282,312,501,502,502,800,500,502,897,501,502,500,500,122,503,501,282,800,500,504,503,178,649,282,502,282,503,649,869,502,525,800,800,500,501,800,503,501,282,649,504,274,501,800,500,649,649,800,500,963,688,502,282,501,649,504,500,503,502,501,800,502,987,800,503,504,501,501,649,800,649,501,500,800,800,500,649,503,503,649,800,503,649,504,282,626,500,500,503,500,501,649,501,282,649,800,282,343,800,800,503,503,502,107,800,649,175,800,501,649,333,649,500,503,501,501,503,502,501,501,649,649,501,282,800,503,500,800,501,500,500,500,500,800,649,502,800,563,501,501,523,282,503,502,500,800,649,500,107,501,649,649,16,500,502,501,282,649,800,502,16,500,800,649,800,72,503,649,503,800,649,501,533,649,164,501,800,800,679,503,502,800,649,503,501,584,503,502,501,282,649,537,502,205,134,503,170,800,800,502,800,500,800,501,503,282,502,58,504,800,501,282,649,500,504,503,282,501,649,16,800,649,503,800,16,800,649,503,501,503,649,902,17,16,503,500,501,503,800,800,502,282,501,490,267,500,856,503,282,800,800,649,501,399,500,649,502,800,791,500,800,649,501,800,502,500,502,603,654,502,282,500,500,649,503,500,502,502,501,500,649,107,502,504,282,501,501,501,604,649,800,501,800,800,649,501,502,501,503,501,501,503,814,800,800,503,502,502,649,503,336,649,16,800,282,501,800,502,282,800,501,503,16,649,686,103,502,501,955,649,398,504,503,501,502,501,500,502,526,649,501,649,649,504,501,649,502,503,532,402,503,282,16,500,16,500,502,800,504,501,503,500,649,800,502,800,500,501,964,501,501,501,500,649,503,502,171,649,503,800,800,800,501,503,107,282,800,282,500,16,502,503,503,800,649,501,502,800,500,800,282,47,500,500,649,649,501,502,649,294,16,502,800,500,282,649,649,501,649,282,503,649,502,283,282,649,558,501,501,501,503,502,800,500,800,502,282,31,501,16,649,960,649,16,502,649,501,800,649,16,502,501,649,24,649,503,502,649,16,502,448,16,501,856,500,503,500,649,501,649,107,800,503,651,500,649,800,503,282,500,504,282,107,107,500,282,503,503,501,501,282,58,164,501,800,501,16,501,502,103,502,503,503,500,282,585,503,103,502,282,500,502,649,800,500,800,107,501,503,649,282,500,503,500,500,282,502,649,282,501,282,501,16,501,16,503,500,503,335,800,501,649,501,649,503,816,503,649,502,282,500,66,800,500,504,241,282,501,503,501,649,800,500,502,500,800,800,501,501,501,393,464,649,501,500,282,501,800,501,503,502,731,282,634,502,913,500,501,800,503,503,800,16,815,649,692,502,500,503,800,500,649,502,198,500,16,503,649,502,649,292,501,501,800,649,649,503,503,713,649,500,649,282,502,501,503,502,649,500,649,500,500,503,503,503,501,171,800,503,649,500,16,823,282,800,500,501,500,800,649,649,500,282,500,598,500,502,500,670,800,89,556,649,282,800,282,649,503,500,502,649,562,16,501,800,545,503,800,503,502,502,16,502,800,501,282,500,800,503,500,500,800,500,502,503,800,502,16,800,500,649,282,502,503,500,800,649,503,107,503,16,501,500,501,649,500,500,501,649,500,501,500,133,372,501,596,501,500,16,504,500,342,501,501,501,800,800,503,282,800,501,503,500,503,503,316,282,850,501,800,800,107,500,500,862,282,501,649,649,502,500,522,501,800,800,502,132,649,502,705,501,500,504,501,282,503,500,502,800,502,501,501,335,501,503,503,16,800,500,800,800,915,500,621,502,500,197,502,503,800,502,500,502,282,500,800,89,999,800,388,500,501,649,940,503,800,503,503,649,800,502,500,502,503,387,800,503,649,800,16,800,346,107,800,649,800,502,502,503,503,800,635,502,503,500,501,649,16,501,649,800,500,331,800,282,282,502,282,282,501,503,503,503,501,649,649,649,503,501,503,753,501,502,943,502,16,501,800,500,503,282,502,803,503,501,503,501,649,501,649,649,500,282,500,282,501,800,501,800,500,282,16,503,649,107,501,649,502,649,100,500,501,800,649,282,504,649,501,649,502,501,122,800,649,148,501,800,504,297,282,649,501,800,649,800,503,503,705,501,500,16,500,55,649,476,805,800,800,282,282,501,502,827,800,800,501,501,800,503,500,504,809,500,500,857,502,649,56,501,800,501,238,800,500,576,800,501,500,649,649,800,503,503,649,649,649,501,649,503,282,800,501,503,502,502,183,502,800,501,282,502,800,145,500,627,503,503,258,282,501,503,500,541,785,500,503,800,115,800,502,501,282,502,89,800,7,502,502,502,649,145,500,800,800,989,502,800,800,282,502,501,502,501,800,909,800,504,500,503,502,503,116,649,107,712,724,501,800,643,800,502,501,503,800,502,502,649,501,151,649,503,612,500,502,501,500,503,502,501,501,502,502,800,649,631,282,649,503,99,16,501,16,503,322,500,500,800,503,800,502,743,501,500,502,501,957,503,800,500,649,858,259,800,649,502,503,800,800,501,503,800,503,502,800,502,205,503,503,913,503,501,503,800,464,84,649,500,503,501,282,503,649,500,649,965,502,104,502,501,503,502,500,502,501,501,501,649,503,500,800,503,649,16,502,800,502,501,500,800,800,501,501,502,282,649,500,836,107,500,800,325,502,503,500,500,103,500,160,16,649,503,502,501,503,502,500,800,649,649,800,501,503,502,800,501,500,502,502,16,500,500,500,501,411,501,503,686,709,841,213,502,800,502,501,503,501,649,800,984,800,500,649,52,501,800,282,649,503,500,503,800,649,649,391,501,502,501,503,502,649,649,502,502,503,503,501,500,500,800,789,282,503,503,247,649,282,16,503,800,502,819,800,282,500,282,501,502,501,502,760,503,502,800,699,500,649,500,800,501,649,500,504,649,649,500,502,500,649,800,500,282,503,16,649,503,502,502,800,502,800,500,800,500,16,503,500,649,500,503,503,502,502,502,500,649,282,500,800,501,503,649,502,649,501,501,503,800,502,16,800,504,840,500,800,501,501,16,502,649,502,503,107,16,649,944,16,282,649,649,800,503,500,502,734,800,500,500,503,500,16,646,500,503,649,122,800,502,503,500,16,649,771,800,502,649,501,501,502,502,778,501,500,282,501,503,800,175,800,649,800,756,500,800,503,500,500,503,282,502,70,500,502,282,963,501,503,500,500,501,282,500,503,612,347,500,502,649,503,800,568,227,503,501,812,282,289,649,649,800,501,500,282,503,502,502,500,618,649,107,16,503,501,502,359,800,501,282,649,889,500,800,362,503,649,503,800,649,501,500,500,363,501,500,103,649,500,519,129,503,282,800,968,649,501,231,502,800,501,500,668,16,649,503,649,500,649,800,502,800,502,649,500,503,765,800,800,503,501,501,503,503,501,502,502,221,500,502,282,282,501,991,503,500,282,500,393,20,800,649,649,502,503,107,466,16,502,649,502,638,649,937,318,500,502,502,501,502,500,503,501,282,504,800,501,502,649,501,57,800,107,800,500,810,282,358,501,649,500,649,500,806,502,502,502,649,501,19,502,16,504,501,282,649,502,501,649,734,500,762,500,800,503,800,476,649,615,107,800,503,16,500,705,502,649,502,500,502,501,501,98,800,282,503,502,649,282,16,800,403,502,16,16,800,500,16,16,800,71,649,501,649,502,800,649,502,504,649,502,503,502,800,282,500,536,504,501,500,282,500,501,649,16,649,649,500,503,500,16,501,501,500,532,500,649,500,649,16,649,800,282,649,503,502,503,800,502,282,501,503,800,649,503,800,502,500,501,503,502,800,503,503,502,502,282,500,649,568,501,107,500,800,504,503,800,502,649,282,62,800,502,502,501,502,404,504,649,465,502,502,16,500,503,120,251,870,800,282,282,649,501,500,107,503,500,502,649,503,290,500,282,282,52,503,500,500,502,800,500,503,800,500,107,503,282,800,649,501,649,500,265,501,501,500,649,800,649,785,500,502,500,649,504,500,500,809,800,502,282,501,501,649,500,503,800,503,282,504,503,591,649,392,503,500,683,500,500,649,607,693,705,503,800,800,502,649,502,282,282,800,500,501,98,503,649,503,800,501,282,601,800,501,502,503,503,362,500,64,800,502,500,800,649,501,502,216,502,800,500,502,361,501,500,504,501,292,501,935,501,402,501,503,500,503,649,500,500,282,500,952,502,800,500,503,501,502,501,501,649,425,503,504,501,501,800,649,12,800,16,503,500,800,503,502,503,501,843,979,502,282,500,500,503,649,16,502,504,835,800,649,649,500,994,800,649,500,649,500,502,502,282,510,649,503,501,502,649,800,841,502,503,800,502,500,16,747,295,503,800,501,800,500,282,502,502,502,500,503,500,16,500,215,800,502,649,502,422,500,800,501,374,649,501,642,502,168,736,179,620,502,502,800,800,501,500,502,501,921,501,800,500,502,501,800,503,349,501,242,649,502,502,500,800,500,800,502,649,503,503,503,649,503,501,283,535,649,502,501,503,16,502,503,16,282,800,282,503,501,800,503,649,502,502,501,501,107,649,500,500,649,502,500,502,282,504,503,502,500,500,500,502,502,649,282,649,501,679,282,501,500,16,282,502,282,501,103,546,502,78,649,502,800,502,502,503,800,500,16,503,16,282,639,800,503,132,649,501,501,394,502,500,800,649,16,800,501,501,825,649,282,503,500,800,503,800,502,282,800,502,503,500,872,500,501,549,638,16,500,500,501,502,649,800,282,500,649,502,16,501,282,503,501,137,800,500,640,649,501,502,502,800,128,500,501,103,800,282,500,501,502,800,500,649,504,864,282,281,800,282,500,649,800,649,282,503,649,649,501,800,867,501,6,649,500,800,127,500,503,501,751,16,995,800,500,501,501,800,16,503,502,441,282,282,500,16,630,866,503,500,502,501,649,800,502,501,501,503,502,731,503,649,353,503,282,649,500,501,800,503,800,649,500,16,996,503,156,800,503,794,800,282,501,500,504,282,502,849,33,800,23,800,500,500,800,502,800,800,501,503,649,502,282,500,501,282,501,565,800,649,649,500,282,289,500,500,649,649,649,502,502,282,503,501,800,649,502,502,503,502,649,16,282,16,500,649,613,501,282,501,649,500,454,649,800,504,800,161,501,632,502,282,800,800,502,387,501,800,649,16,800,500,503,503,523,800,500,649,649,282,16,501,503,502,503,800,282,800,800,437,800,282,502,500,500,502,500,649,500,500,800,282,649,649,503,500,282,800,246,800,800,500,800,259,504,502,16,699,687,800,282,500,500,503,502,800,502,464,649,503,500,500,501,16,503,282,504,282,282,502,800,500,501,503,500,502,502,501,503,107,501,502,501,800,503,800,502,503,316,501,501,906,501,501,500,503,503,16,649,503,649,502,501,500,649,500,800,500,107,503,503,800,800,503,503,503,459,503,16,16,107,501,500,502,500,354,504,501,924,800,500,107,503,503,800,503,502,501,649,503,503,500,649,258,107,500,504,502,800,649,503,929,649,502,649,503,451,800,63,282,502,500,502,800,504,886,502,503,800,500,282,16,282,649,649,282,282,242,800,649,500,501,502,800,649,282,800,800,188,501,500,649,282,501,502,500,500,502,504,502,503,282,608,800,800,649,107,800,800,282,800,800,282,503,800,503,500,500,649,649,503,800,168,501,501,649,649,501,502,503,502,649,503,649,501,649,800,800,501,282,500,282,649,649,503,503,649,800,500,282,503,800,649,772,502,503,500,502,800,800,282,258,503,503,502,649,500,502,503,502,502,800,501,649,502,137,569,282,800,501,649,500,649,503,649,502,960,503,107,682,502,800,649,649,502,501,500,607,649,553,800,503,649,844,503,502,500,649,58,800,957,503,503,504,503,407,732,649,282,502,500,503,503,812,503,503,502,649,800,500,282,273,800,503,282,502,649,800,649,501,649,282,800,16,800,800,503,282,107,800,649,502,503,501,649,501,501,500,501,282,504,800,500,649,500,282,501,503,282,501,170,649,502,16,800,282,500,16,282,501,16,500,483,649,649,501,800,503,800,500,500,801,282,501,501,501,800,800,933,16,500,649,501,800,800,282,500,501,800,649,16,800,649,95,649,503,500,647,107,502,634,501,503,501,920,800,502,800,503,500,503,649,502,502,282,502,500,500,972,500,500,501,504,800,800,649,503,282,503,103,975,504,502,282,501,501,500,535,502,800,500,503,501,503,649,16,282,365,16,800,649,500,16,502,500,503,649,103,502,500,502,500,500,966,502,503,501,800,503,649,503,800,282,282,500,769,500,502,394,800,502,800,502,800,501,16,502,503,637,649,282,800,502,502,800,649,902,493,800,502,282,16,502,16,943,649,705,500,282,3,502,504,502,502,503,282,502,649,78,583,501,619,502,800,800,800,103,282,523,502,502,501,649,800,488,501,501,502,800,790,16,649,282,502,800,800,503,649,649,502,503,282,649,800,675,649,503,500,500,501,502,501,771,612,800,500,649,501,500,502,503,453,502,800,1000,500,500,502,501,103,177,500,500,500,417,282,500,800,501,501,282,503,500,501,500,500,501,800,501,800,502,800,800,500,500,503,501,501,977,502,503,282,502,800,500,502,649,800,501,282,501,649,503,800,502,503,690,800,282,501,500,800,503,500,503,800,632,504,325,503,502,796,649,503,104,501,16,500,503,75,502,502,501,501,478,502,649,500,258,502,502,501,800,502,500,282,649,282,500,649,800,482,282,501,503,501,504,800,500,800,503,114,501,727,503,282,48,649,501,502,649,503,500,282,800,503,501,500,502,800,800,430,502,649,800,16,282,800,699,649,501,649,503,126,502,504,886,282,503,649,500,649,500,501,500,499,503,503,503,319,501,800,702,649,649,173,406,800,502,649,282,800,504,502,800,501,649,800,800,503,800,502,107,503,504,501,649,800,501,504,754,502,502,986,899,649,503,395,649,501,70,28,503,500,781,502,649,800,199,500,502,649,501,421,502,501,364,501,807,800,502,501,649,800,503,649,191,504,503,502,503,500,449,502,500,500,649,500,503,800,501,649,800,649,649,503,501,649,503,800,327,501,504,502,502,502,127,502,500,649,503,268,800,502,504,502,501,649,649,501,181,501,503,503,282,282,500,504,502,649,501,502,224,649,501,649,502,16,502,501,103,649,503,467,282,649,502,649,649,103,800,501,649,503,501,649,502,501,503,111,500,501,16,502,500,206,501,372,649,16,800,500,500,800,800,500,503,800,500,501,501,502,649,502,502,800,800,282,500,48,649,16,412,282,641,498,551,649,282,501,500,502,649,800,279,800,501,503,649,500,16,502,504,500,697,186,501,502,501,981,502,501,500,501,71,500,785,65,282,501,500,602,500,800,500,502,705,500,500,649,502,800,503,169,503,501,502,500,503,500,500,800,649,503,842,649,503,800,503,707,282,800,649,649,502,503,502,282,800,800,502,501,16,962,502,649,800,800,649,85,16,221,314,633,800,503,501,503,503,503,502,501,500,503,649,649,61,501,649,503,649,800,16,504,501,105,484,500,649,502,501,282,503,500,501,800,502,649,282,68,282,649,649,503,282,500,502,501,502,800,502,501,501,548,282,649,800,503,500,282,501,800,632,500,432,501,377,649,500,232,502,624,501,649,501,500,282,649,800,500,503,921,282,783,282,800,649,501,503,800,500,503,504,500,649,501,649,500,649,107,800,800,501,504,800,501,503,500,282,503,501,800,502,800,502,282,649,800,503,501,109,501,503,502,504,502,800,503,502,503,649,607,800,800,503,878,503,649,500,500,800,502,103,916,973,501,503,500,649,800,705,502,500,500,502,503,501,500,786,502,500,649,282,500,504,800,800,500,503,501,282,501,501,705,955,501,500,999,800,630,503,500,282,502,800,501,500,503,503,501,800,500,282,800,791,16,500,642,807,282,503,649,800,799,324,962,501,789,282,800,282,16,800,282,502,501,649,503,800,649,504,649,807,800,42,503,649,282,501,800,503,800,800,500,103,503,502,502,503,502,631,800,977,649,501,800,500,500,503,504,500,649,500,282,359,59,792,649,500,649,649,501,504,800,485,649,800,503,501,282,502,800,649,500,500,628,649,649,502,500,338,501,282,502,501,503,503,813,800,444,16,501,502,503,649,503,501,502,504,800,503,500,500,107,503,502,501,800,503,501,501,649,502,649,282,503,500,813,500,107,800,501,502,502,800,649,501,482,502,649,501,500,502,649,500,800,800,501,503,500,649,501,502,503,501,502,649,559,649,500,503,282,800,502,282,282,649,500,502,501,139,502,282,16,504,800,502,909,649,503,502,501,107,800,724,800,500,800,503,501,800,501,501,672,468,649,502,504,800,744,501,503,501,503,800,800,500,822,428,500,778,501,297,656,410,503,954,500,500,822,649,282,554,255,502,16,649,500,800,192,502,103,502,502,501,504,501,796,943,649,502,800,800,649,800,500,800,800,800,16,649,501,899,282,800,501,800,501,500,800,282,800,649,800,503,500,16,985,282,800,502,504,501,502,649,107,501,501,503,649,282,501,632,500,16,649,504,502,502,800,501,639,500,502,501,500,800,500,501,800,376,800,282,282,502,33,502,430,649,208,503,649,918,800,501,500,502,649,800,926,800,500,107,282,282,501,649,649,800,800,501,500,649,502,501,500,500,501,500,501,800,501,282,503,363,800,500,501,649,282,397,282,761,800,935,16,649,800,503,503,649,682,800,501,500,649,649,16,282,282,649,649,107,502,502,40,502,500,16,501,931,282,501,500,649,800,532,16,500,503,423,649,548,649,16,608,103,888,500,500,502,800,500,501,800,282,502,501,500,502,649,16,502,345,613,500,503,500,16,800,501,886,649,649,500,501,787,500,800,800,16,800,500,500,729,502,503,800,500,502,649,649,649,503,417,500,800,827,886,503,501,501,800,500,500,501,503,500,502,649,500,800,800,502,504,501,500,649,500,800,794,800,16,502,500,349,502,800,502,503,282,649,800,649,920,501,502,800,501,503,308,503,500,800,740,501,800,649,649,503,500,502,503,800,502,502,800,800,800,501,282,500,501,649,501,500,800,502,501,502,649,800,503,502,800,503,16,501,501,800,20,749,649,500,800,282,500,501,649,204,800,649,503,649,502,500,502,502,501,649,501,502,800,501,16,800,291,500,705,500,500,218,735,800,16,500,500,504,503,282,502,501,649,502,501,649,282,800,282,449,500,800,470,500,179,503,503,500,501,810,501,500,649,851,500,800,980,800,501,502,503,16,501,500,504,462,504,715,282,502,501,501,590,16,16,800,800,502,282,500,971,269,503,649,503,649,501,649,97,800,649,501,800,503,503,503,16,800,504,500,502,501,16,800,502,502,810,282,503,502,800,649,501,503,800,500,649,502,16,800,501,16,500,503,649,282,503,500,649,502,643,503,504,954,502,549,649,282,649,501,649,649,160,503,503,500,500,800,989,501,649,503,502,282,282,16,503,501,502,503,800,502,500,503,94,717,282,800,256,502,282,502,501,649,501,503,103,500,649,503,649,500,649,503,502,800,500,500,800,318,501,500,502,502,502,778,503,500,502,481,800,500,502,649,503,500,887,501,500,501,800,503,103,907,800,501,503,649,501,649,944,103,503,503,501,62,502,800,502,649,502,800,503,503,16,649,990,502,747,800,800,501,246,649,710,500,500,503,649,649,500,500,216,800,282,541,649,800,502,501,503,503,800,503,500,649,649,10,800,800,503,500,282,501,800,107,500,503,649,501,649,649,502,649,502,501,501,501,501,282,232,500,501,800,502,649,503,204,800,649,500,501,301,19,503,501,282,500,574,503,665,800,501,800,501,90,500,504,800,502,559,503,503,107,503,500,282,502,500,90,501,501,501,800,282,800,800,503,800,501,282,501,649,649,800,16,503,503,649,649,107,649,649,501,282,16,649,500,501,229,472,649,282,800,649,502,832,649,800,504,500,16,502,422,500,100,501,382,15,282,501,649,502,501,502,501,503,500,503,500,731,800,649,546,649,258,502,500,874,649,809,649,503,503,649,503,502,503,502,502,778,503,502,501,282,500,503,649,502,501,500,800,500,49,502,492,502,503,500,500,800,118,502,501,501,503,502,800,95,16,282,502,479,649,500,649,42,800,51,800,503,501,503,502,500,501,800,500,162,500,282,501,282,437,785,501,503,501,800,800,502,800,800,649,503,501,501,503,503,800,500,500,649,500,129,501,502,501,166,107,800,800,649,800,649,500,500,154,377,503,502,263,282,502,16,502,800,504,16,800,501,501,710,800,504,503,649,142,649,504,501,282,282,503,221,502,503,502,407,500,500,503,501,503,649,503,649,649,705,502,800,649,500,282,649,16,16,649,649,649,800,649,502,500,502,503,500,649,503,501,800,501,649,510,500,16,503,500,502,502,137,16,649,501,502,500,500,649,16,649,649,16,130,500,282,501,504,501,502,976,282,501,649,321,649,500,502,503,500,500,649,500,502,500,107,501,504,504,501,501,502,800,800,502,16,502,501,107,500,800,800,649,502,501,500,502,107,800,501,500,503,800,503,711,800,800,501,282,103,352,501,502,502,800,500,16,501,502,216,501,282,503,649,501,16,800,502,503,753,77,649,501,800,282,503,500,500,503,649,502,649,500,649,503,501,649,501,800,501,16,502,502,800,897,800,438,500,800,16,95,837,500,503,466,501,711,502,649,282,500,577,800,910,503,500,500,705,182,502,500,503,501,500,800,502,282,503,500,501,500,503,159,501,282,503,649,502,470,503,535,334,502,501,16,800,500,800,649,503,503,393,800,502,503,503,501,800,282,500,501,689,502,649,503,800,501,502,500,649,502,500,503,16,501,23,503,649,500,16,649,800,500,107,16,501,500,282,501,500,503,649,503,861,282,501,800,502,282,649,504,500,503,502,16,891,800,500,282,800,800,585,780,156,800,649,16,503,503,501,503,532,503,800,800,502,503,800,502,502,501,675,558,503,649,649,500,500,649,501,503,503,501,500,649,502,501,108,500,16,800,503,502,649,503,503,503,649,500,500,282,503,502,503,502,649,282,800,501,282,942,751,501,503,500,503,800,282,504,503,500,501,500,800,282,500,649,800,469,501,109,501,16,649,9,649,501,500,41,453,500,800,501,500,282,800,501,501,800,252,503,269,758,502,502,975,630,500,472,800,500,282,282,898,500,649,500,649,800,16,649,800,500,184,101,500,503,500,502,503,282,501,500,502,649,649,800,500,503,502,503,282,103,649,502,103,501,502,800,198,501,109,282,500,501,649,282,282,503,282,501,504,503,649,500,649,501,649,503,502,649,183,282,501,500,502,649,16,649,282,811,649,502,282,500,106,800,501,500,649,800,500,282,503,800,502,500,501,502,800,501,282,800,649,500,503,16,502,282,800,800,550,16,503,501,503,503,501,16,994,999,906,500,649,649,501,406,14,16,649,503,502,504,504,282,800,474,424,745,800,800,117,16,895,503,649,501,16,21,503,370,503,282,282,800,501,107,503,501,649,876,16,503,107,500,502,800,649,433,800,502,500,503,642,501,503,503,500,502,800,502,746,103,500,502,658,500,649,800,502,502,501,649,503,880,103,282,649,649,501,16,500,502,502,103,500,503,800,800,828,500,649,501,970,438,690,258,500,689,500,502,282,649,503,649,500,502,649,800,555,712,649,502,500,649,16,282,800,85,504,503,500,501,500,703,16,299,282,502,649,235,501,500,500,501,914,649,503,500,800,800,501,500,503,649,107,649,800,16,795,800,500,800,500,500,501,501,503,649,501,282,649,504,503,502,282,800,501,655,502,503,800,16,107,800,11,800,136,346,649,501,500,471,800,500,282,503,503,501,501,502,649,502,800,63,502,800,503,649,649,502,16,166,800,503,649,503,503,649,654,500,500,282,501,303,502,885,16,500,649,501,282,501,282,800,436,282,503,649,501,107,503,649,282,500,500,501,503,800,767,501,500,500,501,502,649,501,649,502,800,503,501,503,503,800,800,502,826,123,355,800,500,500,800,649,500,708,16,503,800,501,420,649,649,649,501,500,503,503,502,649,500,649,504,493,503,500,800,800,502,502,502,807,252,800,503,282,500,800,502,16,800,800,649,502,503,501,688,502,83,500,501,800,649,16,503,800,501,649,503,501,282,800,500,649,500,705,800,500,649,800,649,502,649,649,503,500,502,502,649,800,649,389,649,503,500,649,282,503,500,800,503,282,800,503,502,800,282,500,502,282,502,16,502,16,501,501,500,16,800,500,800,800,503,502,502,501,503,800,800,502,282,501,125,16,800,282,500,649,502,503,503,649,649,503,241,502,103,503,501,500,282,800,536,649,800,501,649,503,800,800,16,649,800,501,500,500,502,500,649,502,500,931,504,501,800,16,649,16,500,16,800,800,500,649,503,500,500,282,503,503,502,649,503,503,778,502,501,500,16,649,503,502,800,282,388,800,87,282,282,800,649,649,800,502,502,555,502,16,503,501,500,501,502,502,800,800,649,282,503,502,500,500,16,502,503,501,503,500,502,649,500,200,884,902,800,561,282,501,649,800,503,147,503,649,649,503,282,16,501,649,16,275,181,503,501,800,649,502,282,503,800,800,764,16,501,500,500,649,800,503,163,501,649,680,500,503,503,16,501,800,500,16,282,16,282,500,501,649,500,800,27,502,800,501,504,800,16,456,282,501,386,800,16,800,503,747,649,490,500,800,649,649,501,503,649,800,501,807,145,500,649,808,500,649,800,501,500,649,800,501,502,282,502,800,800,649,282,994,661,502,573,924,502,282,503,500,385,264,502,502,649,501,503,500,800,800,500,36,800,282,649,501,649,150,800,800,649,282,373,500,501,500,502,501,49,433,800,456,282,503,649,501,700,502,282,239,500,800,500,500,500,500,800,800,501,649,474,499,649,649,800,844,502,649,493,800,500,500,504,649,194,500,649,501,503,800,800,800,800,502,282,282,16,649,649,503,800,502,800,501,649,16,503,800,800,503,501,282,649,649,502,16,87,649,501,504,649,649,502,16,800,502,503,500,503,500,501,16,502,766,800,500,501,16,800,800,113,282,800,504,305,503,800,643,501,502,649,800,768,16,290,502,800,500,282,800,103,705,500,21,501,501,502,500,500,800,500,800,500,501,500,800,501,501,500,649,502,807,503,800,502,502,649,649,500,503,500,649,800,503,800,649,649,800,501,503,502,500,500,500,500,671,204,501,649,282,800,500,502,282,800,930,501,501,501,503,502,500,649,953,503,755,649,800,16,501,800,873,502,649,520,503,800,502,503,503,501,800,502,503,121,503,501,275,649,502,501,649,649,282,459,282,800,649,800,501,503,649,501,500,501,500,501,502,503,86,282,502,649,16,442,16,800,503,282,502,502,800,503,340,491,501,800,502,800,500,502,503,649,500,503,502,501,500,800,678,500,800,786,501,500,501,649,429,503,501,502,501,800,502,500,800,503,649,501,649,649,282,282,501,668,503,282,501,502,687,649,502,503,500,374,800,500,500,16,502,501,502,503,649,500,649,501,107,500,800,502,503,800,967,501,501,800,649,501,5,649,503,503,649,494,800,86,282,3,649,800,501,503,502,958,502,501,800,800,501,649,649,503,502,800,500,502,68,800,649,503,16,800,649,500,500,16,500,800,503,503,501,501,800,800,16,500,501,501,282,500,788,503,735,501,503,501,974,804,800,502,502,500,807,800,16,309,282,800,649,649,800,649,503,282,190,800,501,503,503,273,501,800,800,501,800,500,501,503,500,504,501,282,503,500,649,500,502,502,500,503,800,32,500,800,502,501,649,282,502,500,501,729,502,705,800,649,649,282,800,894,503,282,296,819,282,800,502,282,503,500,800,501,282,503,282,282,502,500,800,501,649,33,282,57,503,282,500,649,649,931,314,649,501,649,502,649,500,649,800,334,649,240,503,649,800,649,502,500,332,503,714,500,282,502,16,500,921,503,503,800,503,649,430,503,649,446,16,500,502,800,546,302,649,500,744,800,502,358,501,800,800,502,501,16,209,500,501,500,501,649,503,282,800,800,503,282,282,800,502,502,649,800,500,649,800,500,502,500,16,500,501,501,800,778,501,500,132,501,502,500,649,502,282,282,500,503,500,314,282,752,174,649,282,800,503,501,649,800,500,649,503,500,503,500,502,800,800,501,501,800,103,502,500,500,502,282,16,940,636,503,649,501,107,503,956,130,282,649,504,282,16,800,503,504,503,503,501,501,501,502,503,500,282,282,503,800,500,800,649,501,160,502,501,282,502,282,500,742,502,649,649,649,503,503,503,800,800,800,282,501,16,503,649,502,800,503,649,501,570,282,502,501,501,503,800,780,501,500,500,500,649,500,800,503,649,504,984,501,502,649,282,501,503,784,800,639,501,282,282,649,500,924,364,649,501,502,800,282,269,503,800,649,502,800,649,800,502,800,504,282,502,282,504,100,501,800,649,649,500,649,282,800,800,800,649,501,16,501,503,501,503,504,500,502,963,800,501,502,502,503,800,282,504,502,501,649,502,339,407,501,503,800,282,500,503,501,800,503,502,503,501,503,282,501,800,503,649,800,800,502,502,282,800,800,282,282,501,502,502,500,649,800,500,649,800,500,395,132,500,89,500,800,502,282,16,502,622,228,500,504,500,107,282,503,501,500,506,502,594,282,500,800,501,649,107,800,524,800,649,501,503,107,500,649,800,503,503,503,501,502,500,500,502,800,500,649,801,800,16,501,501,900,503,500,501,649,649,649,503,503,743,282,16,501,501,649,503,649,800,502,500,502,649,502,649,800,282,800,502,545,282,103,649,871,890,503,501,500,107,604,502,800,502,504,800,649,503,442,649,649,500,503,649,503,649,503,800,800,500,800,501,446,500,282,502,502,500,502,500,502,503,282,800,649,800,501,500,282,649,792,502,649,800,502,502,16,503,501,649,502,282,502,695,503,501,500,107,500,400,16,800,500,800,500,504,649,107,502,501,800,500,800,439,800,501,500,881,649,502,800,500,800,705,282,501,800,502,501,503,282,503,502,282,501,800,500,649,500,649,503,282,503,709,282,16,800,500,800,103,649,501,503,501,500,282,500,800,282,649,596,16,500,500,649,500,503,501,502,500,800,16,501,502,503,500,16,502,907,649,386,649,282,649,502,800,502,800,304,503,272,107,500,998,107,211,500,800,501,649,501,282,759,800,282,55,501,649,503,649,500,39,107,503,500,504,308,649,649,500,502,800,500,446,282,216,503,649,800,500,234,501,501,649,282,503,503,503,800,800,502,800,502,649,282,502,147,534,503,503,503,500,282,501,649,16,501,800,890,500,649,503,107,502,800,501,503,16,501,503,649,500,503,3,800,503,503,649,500,500,500,808,649,500,502,213,568,502,778,503,800,705,307,502,503,503,500,503,649,629,282,800,500,287,399,501,396,503,649,16,502,500,501,406,503,649,78,503,503,502,282,282,649,501,800,649,649,649,800,800,282,282,800,503,501,800,503,502,800,501,214,757,501,971,501,800,503,800,649,502,649,649,500,21,503,204,501,649,500,500,502,500,705,649,649,501,649,501,649,502,503,282,502,800,282,501,800,500,503,502,501,800,503,163,800,908,502,800,501,800,282,800,501,504,800,500,800,503,502,502,72,501,503,502,503,500,800,772,282,502,500,503,503,170,503,838,128,282,501,282,390,503,503,282,501,501,800,649,52,800,500,315,146,649,282,107,502,649,501,57,649,800,503,16,500,500,502,502,649,501,649,500,282,649,503,693,500,500,649,501,556,282,503,504,504,649,500,500,649,503,500,649,649,649,500,282,501,800,262,761,583,800,800,502,501,503,500,501,649,800,16,500,800,649,501,16,501,501,501,800,503,16,502,502,501,502,282,705,503,502,364,500,503,649,503,502,500,800,503,800,244,649,500,282,503,502,800,500,500,649,649,502,501,800,800,500,502,649,282,503,166,282,501,500,160,500,649,500,502,951,16,649,503,503,501,502,502,500,21,649,800,800,502,887,502,502,503,502,503,500,322,500,54,800,503,503,649,500,502,501,504,500,676,502,800,502,800,502,218,800,500,500,800,282,501,832,107,500,503,282,501,502,282,503,347,503,800,282,30,502,503,503,282,502,501,500,282,500,502,282,278,800,649,500,503,500,649,500,500,649,42,261,649,242,282,649,502,500,503,500,107,503,501,560,582,800,522,735,282,800,502,426,157,800,503,500,800,501,502,877,649,172,100,811,503,500,502,148,502,503,649,649,764,800,501,503,800,312,502,502,500,501,107,282,649,649,800,122,503,8,503,500,649,503,71,502,800,500,501,500,503,502,800,501,103,504,282,282,649,16,503,282,502,502,649,649,503,678,502,800,181,649,800,503,282,500,800,800,501,649,820,500,501,500,800,503,501,800,811,649,800,504,649,500,503,501,800,800,500,503,500,649,64,800,800,282,800,649,800,777,501,500,500,503,502,500,949,502,500,800,502,800,649,502,649,800,800,649,501,800,502,800,503,729,502,800,397,830,501,502,649,503,649,649,502,16,282,282,431,500,705,501,16,501,16,649,353,500,800,504,502,503,500,825,649,800,502,503,282,649,502,502,800,800,503,282,649,501,800,551,501,16,341,501,503,800,501,107,500,649,503,800,282,800,502,282,16,500,688,500,649,649,282,502,176,501,501,502,16,503,800,501,501,649,800,798,282,500,800,800,649,503,800,503,282,501,649,844,502,502,649,800,649,16,500,501,502,649,649,16,501,500,501,649,649,649,500,501,16,107,63,504,780,503,282,498,16,503,501,649,107,800,500,744,503,649,705,800,503,500,800,649,502,649,373,500,282,800,282,501,502,649,649,500,649,649,660,503,649,479,649,649,344,282,309,500,649,501,800,500,800,550,649,736,501,501,649,649,800,500,500,649,500,502,502,581,800,649,649,501,649,503,649,504,503,502,282,978,500,502,370,914,501,501,503,282,503,649,502,807,433,16,282,649,502,800,503,16,500,282,800,501,649,501,649,649,502,502,500,504,234,649,649,800,428,502,710,502,800,500,502,503,502,502,502,649,502,800,800,502,503,503,502,649,500,500,501,282,112,503,274,649,250,501,502,649,800,502,800,649,16,502,322,500,503,502,501,800,501,800,503,464,503,503,502,500,500,500,649,503,800,500,500,500,19,500,500,649,359,802,800,503,501,649,496,282,800,282,800,282,649,501,219,503,802,800,649,800,501,503,503,503,501,500,500,236,502,503,502,649,800,503,957,501,502,649,503,800,694,501,503,501,501,16,501,500,500,649,502,501,282,502,282,501,502,800,504,504,800,282,262,649,16,649,500,612,502,500,800,501,649,282,501,503,800,800,500,503,501,500,503,649,501,103,500,800,500,134,503,502,16,501,282,649,500,501,502,800,282,503,800,107,649,649,503,282,649,800,503,649,16,800,649,503,800,500,107,502,500,503,89,282,502,800,503,501,649,107,649,16,16,500,500,649,503,611,502,649,503,111,16,649,502,282,503,751,282,501,800,16,649,501,500,502,500,501,800,501,535,500,649,503,649,503,500,649,500,501,501,649,16,728,800,249,500,502,649,649,501,503,73,503,704,16,800,16,649,503,502,502,501,944,502,502,502,503,501,503,500,502,649,500,800,282,649,503,500,503,504,649,800,501,502,649,282,649,503,501,501,503,503,503,800,282,502,501,800,800,500,800,503,649,107,649,800,282,502,979,502,800,500,502,999,800,649,645,502,503,649,654,282,649,13,16,800,500,800,502,500,637,282,553,504,16,502,817,500,501,800,282,502,66,282,800,500,502,649,504,500,501,660,908,501,503,103,282,649,649,501,502,281,649,501,500,649,800,649,800,282,282,649,502,649,500,800,502,649,649,616,604,819,800,800,503,500,282,649,194,502,800,502,500,501,502,501,649,503,282,356,501,649,649,282,282,800,16,425,503,502,503,800,866,503,502,649,500,502,282,800,502,503,800,503,501,16,800,501,282,557,16,503,502,16,649,165,503,94,103,501,456,502,501,800,800,503,649,504,501,800,500,800,179,500,109,501,503,685,501,502,500,800,818,282,503,282,502,503,649,503,502,500,649,649,282,649,108,649,503,501,502,292,500,504,649,502,31,649,500,503,502,800,649,321,761,502,500,501,501,503,16,500,501,649,503,501,501,327,502,255,475,282,502,800,502,502,649,800,500,282,800,501,500,800,800,503,315,500,649,502,957,503,800,521,282,501,500,800,502,649,502,400,800,502,649,103,304,503,683,502,649,800,464,800,503,502,800,502,502,903,501,503,500,107,503,800,502,501,501,503,501,282,500,282,800,800,800,649,502,324,240,800,282,649,649,502,503,502,503,19,282,503,503,501,501,659,314,800,501,282,800,503,800,16,800,649,503,501,800,649,918,501,501,468,502,649,500,501,649,502,502,536,502,501,649,649,500,107,501,282,730,800,649,503,828,649,500,501,649,500,691,649,649,649,500,502,626,501,503,649,649,800,800,282,641,800,800,501,16,800,282,502,638,501,504,501,649,500,503,855,502,500,454,800,556,500,501,501,282,589,503,501,282,503,503,800,800,800,96,501,503,500,142,498,649,226,649,416,649,502,282,16,502,735,500,500,503,371,501,649,649,800,800,500,800,754,502,501,282,649,502,213,981,800,16,800,502,282,612,103,800,503,800,501,937,282,282,401,649,649,16,800,800,503,503,500,500,649,16,282,200,282,800,649,649,503,504,504,282,800,500,815,502,502,107,231,649,503,500,244,503,503,800,503,503,160,501,649,282,502,649,282,800,649,282,500,501,502,502,200,502,500,500,103,853,502,800,501,502,502,502,649,503,365,886,501,649,282,800,503,487,895,41,502,452,282,282,502,945,464,800,502,503,500,504,501,501,503,16,504,800,500,800,649,649,800,501,500,800,501,693,800,500,501,500,501,649,500,500,282,502,502,501,629,800,501,500,502,800,649,500,649,503,649,500,503,800,500,501,500,501,502,649,800,649,800,502,502,649,501,501,503,500,939,502,649,800,649,649,800,61,501,502,107,502,282,502,649,800,649,649,501,503,649,282,502,500,112,109,502,800,501,702,800,503,282,800,42,502,502,649,800,753,500,800,282,482,282,800,282,649,649,282,575,500,282,282,502,282,502,501,295,671,861,649,502,502,500,501,500,16,282,282,649,501,502,800,502,642,502,501,501,282,503,501,152,504,501,503,842,501,501,282,649,282,500,649,284,501,500,282,501,504,649,503,16,800,282,282,800,500,399,800,229,649,500,800,500,503,649,911,503,649,282,649,500,502,16,501,503,282,501,782,649,502,502,501,649,502,282,649,500,800,16,213,649,800,800,406,826,501,503,500,502,502,500,143,501,282,501,501,282,800,16,649,241,800,500,800,501,502,649,800,502,613,282,282,502,649,37,501,502,503,396,501,501,800,282,503,800,503,502,705,500,800,501,800,502,502,282,282,503,501,800,502,501,649,282,800,501,503,649,500,501,649,500,501,649,500,800,649,502,501,500,501,16,282,501,501,501,649,503,500,800,800,502,503,503,503,503,807,503,649,502,800,649,502,282,501,500,503,503,164,502,649,426,661,282,500,800,800,649,503,500,500,502,649,500,701,649,800,503,500,502,282,502,800,692,502,16,649,504,649,649,107,190,649,990,890,705,103,501,649,282,501,800,16,500,503,503,502,500,800,649,501,649,282,800,649,502,800,500,820,649,500,502,503,282,503,501,502,500,501,500,500,501,800,500,135,502,282,649,123,282,801,503,501,504,282,502,649,502,587,501,649,500,501,282,103,282,502,898,800,529,502,503,459,649,800,500,503,16,501,503,759,649,503,16,800,800,503,501,502,503,800,649,649,800,500,317,500,502,800,649,502,590,500,501,986,649,649,502,282,800,800,800,800,501,501,649,649,16,502,179,282,609,502,503,502,502,712,649,500,500,282,502,166,503,502,282,649,501,800,503,484,800,649,282,503,501,901,649,503,649,502,503,16,503,649,502,502,16,800,502,282,502,500,282,649,501,282,282,282,503,503,503,800,503,282,502,502,503,800,16,504,501,501,504,800,504,103,21,728,649,100,649,649,502,282,649,649,500,107,501,500,503,501,502,503,501,503,649,500,16,502,352,16,16,503,502,282,282,282,16,800,501,500,16,649,800,16,605,800,282,684,500,500,800,503,800,503,143,500,847,228,649,500,500,648,859,503,800,500,500,502,815,503,649,800,501,503,16,800,500,503,577,800,501,649,649,291,649,502,502,501,501,501,500,501,16,649,16,502,501,501,282,502,503,277,826,502,107,502,649,649,649,500,503,800,282,503,501,501,649,649,502,500,649,502,500,502,503,502,936,777,500,282,282,649,800,800,501,800,649,16,500,503,500,649,502,500,501,800,502,282,503,649,501,502,502,501,504,649,16,522,800,670,800,649,503,503,503,502,500,503,502,649,503,503,649,179,282,500,282,16,282,282,649,503,503,502,502,225,502,649,649,915,500,33,502,575,504,500,504,503,744,623,649,502,649,503,503,503,282,503,503,800,649,500,649,800,503,501,649,16,705,500,503,500,503,502,502,503,501,649,503,502,800,502,584,501,502,500,107,500,679,504,500,500,502,800,103,649,500,500,649,649,649,500,500,500,501,905,504,649,289,827,800,800,503,16,649,501,502,502,500,500,502,504,500,649,503,16,503,282,503,68,304,800,649,800,649,800,502,282,502,500,915,490,800,107,502,649,501,500,649,501,501,503,708,311,500,800,503,452,800,760,501,500,501,800,503,788,800,502,107,503,500,503,500,282,649,501,502,800,500,502,503,500,503,501,282,501,800,501,504,502,800,794,501,503,400,282,649,649,502,502,500,500,133,500,502,500,800,65,503,282,502,282,6,501,503,501,501,800,500,502,649,504,584,16,501,800,502,800,501,649,500,503,649,503,800,800,504,634,800,500,846,501,16,800,974,500,606,501,501,503,40,501,503,536,500,649,502,502,501,741,503,503,16,800,502,800,649,503,800,282,500,503,800,649,16,859,503,781,502,103,501,501,649,929,503,649,649,500,58,800,649,500,501,800,800,649,282,800,897,282,502,705,500,800,502,502,282,500,503,649,504,800,393,500,502,800,282,502,800,888,649,501,503,502,16,501,807,282,500,649,500,500,500,800,500,502,500,642,501,16,649,649,649,502,676,16,501,664,800,502,282,503,649,800,58,800,800,800,501,573,501,504,501,800,894,503,649,282,501,649,500,649,950,737,501,649,282,501,649,501,450,501,800,721,501,800,503,544,800,501,103,800,500,500,501,501,800,500,800,800,800,502,892,503,282,500,501,800,500,649,500,868,282,649,503,502,502,500,649,502,649,501,37,99,500,723,649,503,503,282,649,282,500,282,800,800,500,504,800,127,501,16,502,938,503,107,503,800,649,649,502,503,502,501,649,800,214,503,649,504,500,503,502,800,649,282,502,649,492,649,800,98,649,282,800,503,500,503,800,649,501,800,988,748,649,500,502,502,500,502,500,16,800,638,500,503,649,476,16,500,500,649,649,800,211,282,503,282,629,502,108,503,501,649,800,501,503,501,502,501,649,501,500,501,500,501,800,503,502,551,379,502,800,502,503,649,649,649,704,500,500,368,501,313,282,501,501,649,121,503,501,282,649,845,502,503,503,503,800,649,16,500,502,16,503,740,502,246,649,282,649,800,502,649,501,649,282,800,800,282,279,800,69,807,501,500,649,282,282,504,500,849,503,502,501,504,649,500,503,800,800,3,685,282,282,501,504,503,282,826,649,502,503,631,500,649,503,600,800,500,348,649,503,282,649,96,503,503,282,500,270,973,504,502,500,649,103,500,500,866,649,800,649,282,503,800,649,500,105,282,502,503,502,107,501,282,231,649,649,502,282,503,503,98,800,649,649,208,282,502,502,500,649,889,800,502,500,502,503,649,501,502,501,16,649,503,282,503,500,376,649,16,502,502,800,500,500,800,502,282,501,649,445,800,500,16,282,649,800,581,503,500,282,16,502,504,800,502,503,649,800,503,501,800,649,800,503,502,282,282,800,500,800,502,501,807,500,800,501,649,654,502,502,503,800,503,800,504,800,439,500,800,649,820,504,565,503,75,800,103,800,2,282,649,80,649,800,501,386,800,500,800,501,500,502,504,503,502,800,611,500,500,503,503,800,800,502,500,800,501,500,500,800,503,344,800,134,649,649,922,500,800,502,502,800,800,282,282,501,344,16,649,103,649,503,502,282,491,501,500,501,282,800,800,502,502,500,766,800,500,503,502,503,502,394,649,502,500,282,16,919,503,705,500,503,503,541,16,854,502,500,924,16,502,16,800,800,503,501,265,649,800,800,500,503,503,502,502,501,649,932,388,649,503,500,500,800,502,502,503,500,800,500,504,649,500,274,502,502,800,503,282,800,265,16,501,502,501,501,800,282,649,800,501,800,282,503,649,649,297,649,502,504,502,143,282,785,800,503,500,649,504,678,232,649,705,103,501,649,502,503,501,282,800,500,502,501,765,649,501,103,282,503,611,800,411,503,268,649,500,515,501,502,771,351,282,502,231,800,702,503,500,501,732,16,282,502,501,649,501,649,503,500,502,800,649,500,20,282,500,500,502,955,500,503,16,500,649,202,800,716,504,500,500,500,501,649,502,502,503,501,502,800,501,501,16,107,501,649,649,502,500,502,501,502,503,649,500,522,282,503,502,282,501,501,282,502,500,502,649,502,500,107,800,501,500,275,501,649,502,503,979,649,501,500,503,501,503,954,500,502,282,502,282,501,501,502,503,500,282,282,500,501,282,501,500,503,927,500,502,500,500,504,500,800,282,666,503,503,503,502,210,649,502,503,500,503,16,503,16,800,501,502,500,282,503,107,562,501,800,502,502,503,502,500,800,800,800,503,502,282,842,500,500,501,869,503,282,800,503,501,200,503,649,502,503,502,501,502,800,502,501,284,501,501,502,726,503,502,800,502,800,503,502,502,649,500,649,16,649,503,649,501,502,500,500,282,500,800,504,282,800,701,503,649,649,503,246,503,800,501,501,955,504,502,503,649,500,503,502,800,500,500,282,800,282,500,800,502,502,649,500,500,500,16,800,504,649,282,503,501,2,649,500,501,800,358,502,649,500,500,503,282,500,503,503,503,800,501,501,282,16,126,500,550,282,503,500,107,500,503,502,885,502,504,649,500,501,503,282,800,800,649,773,502,502,503,503,878,98,503,649,504,410,483,800,16,502,649,567,503,503,503,649,500,649,503,503,16,184,500,282,503,657,501,338,503,881,503,206,503,503,502,503,800,502,658,501,503,501,503,966,502,502,503,649,282,501,800,503,372,800,503,649,502,500,800,800,500,503,503,500,649,649,502,800,649,800,500,500,503,502,500,502,800,200,503,503,502,103,800,649,501,500,503,422,358,502,502,503,16,501,16,649,501,489,502,282,500,649,502,503,16,800,649,502,800,502,282,503,500,649,502,649,649,126,502,503,501,13,503,501,500,800,502,500,504,649,500,649,800,649,649,503,800,212,501,502,501,502,502,500,800,503,501,649,800,503,800,503,501,500,500,500,311,800,649,282,771,649,501,282,282,282,503,649,502,282,800,502,504,800,503,501,500,282,649,500,800,501,649,501,649,197,800,16,800,800,502,500,500,502,649,502,503,800,501,500,501,282,500,501,501,800,501,502,800,502,649,500,501,16,800,501,501,274,502,502,500,2,500,500,501,500,282,501,800,800,503,649,649,502,800,502,649,502,800,500,500,501,706,502,503,354,550,800,504,501,501,990,502,501,649,16,267,503,504,753,502,759,503,649,500,800,501,501,502,503,649,502,502,502,649,502,282,649,501,649,500,649,444,502,800,501,504,107,649,844,502,800,502,649,800,16,649,282,503,649,800,502,503,16,502,800,503,800,503,107,500,501,503,501,500,500,501,360,500,103,502,503,500,501,501,500,282,502,800,501,740,502,800,501,501,282,282,649,500,503,502,16,649,800,502,500,16,800,809,522,502,500,649,480,221,502,502,503,800,501,501,500,502,500,502,500,503,500,501,503,800,800,800,800,649,501,282,501,649,757,755,16,800,503,653,282,649,500,282,501,501,500,502,705,502,800,411,502,502,498,649,800,461,649,665,500,16,16,800,800,649,800,503,504,500,50,107,501,501,800,501,503,500,16,282,282,16,51,502,474,800,502,909,649,500,502,503,800,502,385,800,502,501,649,800,416,502,503,503,503,649,800,501,344,502,800,501,649,974,190,649,210,282,501,149,800,16,503,282,821,800,500,123,502,705,501,501,881,800,800,282,649,649,355,502,800,503,500,282,649,914,282,500,800,501,501,502,649,16,504,670,16,500,500,800,800,501,500,500,649,649,503,649,16,501,649,649,800,107,500,282,501,503,500,500,800,649,503,649,649,303,503,282,503,500,800,957,504,501,649,649,649,879,503,800,502,504,282,649,282,79,800,500,503,500,282,649,282,504,649,649,501,500,501,569,800,502,503,502,800,503,800,500,800,500,649,500,282,289,630,500,502,649,500,649,282,502,103,502,501,501,16,502,649,649,800,501,500,649,892,502,611,649,82,500,502,649,502,800,502,649,502,501,500,502,649,503,500,501,800,800,504,649,503,649,800,501,500,500,282,500,282,790,282,500,800,503,503,800,503,500,649,502,282,501,634,800,503,218,649,839,632,800,282,649,800,281,503,800,276,649,16,964,800,617,649,16,502,500,501,503,500,800,800,501,800,649,649,614,502,503,503,282,800,449,800,800,649,500,502,282,282,502,649,16,282,501,649,28,502,649,800,800,503,282,500,503,282,800,649,500,705,800,662,756,503,500,800,744,16,500,16,502,500,280,800,500,800,503,503,282,500,649,282,800,501,502,503,503,503,501,437,500,803,501,501,282,500,282,384,45,649,649,649,500,500,962,282,282,503,502,502,973,500,500,649,503,714,649,800,503,501,649,411,500,649,649,433,502,500,500,502,502,503,800,649,502,502,502,649,502,502,502,254,656,16,503,800,501,501,503,501,800,502,502,16,540,504,502,800,649,502,800,503,500,649,503,504,282,501,503,501,501,501,649,704,649,240,16,409,649,500,503,649,500,503,16,501,503,501,503,362,649,107,67,501,502,16,649,502,649,503,282,800,649,649,500,800,282,503,501,500,500,649,649,649,503,502,800,500,500,16,503,800,501,503,800,16,133,649,649,282,500,502,501,809,800,503,649,502,282,591,500,43,800,173,16,800,800,16,923,795,503,504,501,502,500,503,800,800,503,501,501,800,282,501,501,501,649,502,800,122,501,221,501,800,649,16,181,628,800,502,503,282,500,800,503,800,16,500,800,282,800,502,502,502,649,30,800,501,501,503,649,800,16,971,500,649,503,503,649,500,282,502,282,800,500,503,502,500,800,502,800,649,744,800,501,501,501,504,501,500,503,500,500,502,800,500,649,501,282,500,800,501,800,500,389,502,501,502,501,503,502,282,800,501,282,502,705,502,649,649,800,502,800,800,504,800,503,501,500,282,503,503,502,800,800,502,809,800,502,501,800,502,501,503,153,349,502,800,800,800,503,649,502,710,503,649,500,523,800,501,502,16,800,501,503,501,800,501,696,649,503,500,501,800,800,503,501,649,16,500,800,502,649,503,501,758,282,125,504,16,800,282,502,500,800,282,649,649,502,500,501,649,501,649,345,502,501,503,503,503,852,800,282,503,649,21,502,16,501,800,649,649,502,502,800,381,800,193,282,649,501,502,649,500,877,503,246,800,363,16,502,503,649,800,500,890,501,800,503,649,501,502,502,503,502,503,103,502,500,248,649,800,501,500,502,282,888,501,649,501,500,501,649,503,503,284,501,503,800,800,504,737,16,500,794,500,649,339,649,500,503,800,800,501,501,800,502,527,501,501,502,500,649,282,16,503,800,504,16,727,107,501,811,503,649,502,503,107,282,502,503,649,503,500,501,500,501,16,502,282,503,730,502,503,503,5,800,800,502,649,500,800,502,403,512,500,800,800,504,502,503,800,500,502,517,501,282,501,649,649,649,828,274,501,500,502,503,502,500,983,501,500,649,282,503,800,503,282,501,469,800,503,375,885,500,501,649,16,503,502,501,558,501,502,500,502,500,16,501,800,503,800,649,16,501,501,500,649,282,503,500,649,503,649,800,16,502,800,800,502,800,500,363,503,500,282,649,503,500,663,501,649,502,500,500,115,734,220,502,800,502,649,502,502,501,720,800,225,800,649,503,800,800,16,503,501,800,502,502,800,800,383,740,649,500,502,502,502,186,649,649,501,708,649,107,502,328,502,854,282,501,503,800,302,931,54,502,503,649,800,502,500,501,503,800,501,504,500,503,649,501,502,649,520,502,503,649,501,501,540,649,282,502,800,649,16,649,503,503,613,649,800,501,800,502,276,503,800,503,500,503,130,800,500,500,16,502,649,569,282,389,800,502,649,502,503,502,800,502,13,649,800,282,500,800,503,503,502,502,965,501,503,282,282,501,502,16,502,649,500,800,503,503,649,800,500,502,502,929,501,501,503,503,958,500,11,500,500,503,649,16,502,503,16,16,649,800,503,714,883,502,800,500,503,503,800,16,502,800,240,576,649,502,282,500,501,502,800,282,26,500,500,754,649,502,640,501,649,500,502,501,172,501,502,503,800,649,501,500,501,504,800,503,501,649,282,503,185,800,547,107,500,29,800,501,800,800,500,503,649,501,502,503,800,800,649,800,503,800,1,800,501,502,800,282,502,503,904,954,500,503,501,800,649,502,649,301,800,352,800,800,501,502,282,501,503,243,503,503,800,649,500,502,649,649,500,800,501,282,800,502,502,800,503,16,501,786,500,503,800,800,501,503,800,500,800,92,579,16,502,405,500,649,800,649,502,282,503,500,502,800,903,503,274,107,649,282,502,501,649,800,83,503,649,800,649,500,649,503,649,501,503,579,649,649,500,16,800,800,800,503,504,500,282,501,503,503,503,502,280,649,800,649,503,282,16,800,500,16,502,649,16,503,649,503,807,604,501,649,993,16,503,649,503,904,649,501,501,503,800,649,800,504,649,501,500,16,649,681,503,122,675,501,800,649,502,16,502,501,649,800,503,891,500,503,643,800,296,642,649,649,500,282,500,500,502,649,649,670,649,503,710,500,503,501,500,800,800,501,800,800,500,503,500,500,125,649,282,800,501,800,800,508,807,483,500,501,894,502,501,500,649,282,501,501,649,254,502,501,800,282,649,502,800,282,800,95,500,502,502,501,502,500,282,282,800,501,892,843,503,500,502,502,501,649,800,500,800,282,501,503,501,62,695,282,504,500,800,649,500,214,501,502,501,649,501,282,563,501,282,500,503,944,503,500,500,500,501,282,649,864,649,502,501,480,649,436,501,282,501,300,36,800,500,502,503,501,282,503,501,649,192,649,501,503,282,282,800,503,592,800,503,504,500,501,964,800,503,649,516,502,501,500,500,800,501,502,16,503,503,500,107,501,282,502,984,501,502,502,502,800,501,7,500,503,501,502,501,800,649,502,649,282,501,503,501,975,501,500,800,503,500,149,119,16,502,501,501,502,503,503,649,649,282,649,800,502,501,16,501,649,800,500,501,503,502,16,103,649,649,501,503,500,649,103,500,649,649,649,16,502,500,500,503,504,500,800,800,501,107,345,500,503,501,502,503,649,649,503,500,502,500,503,503,503,502,497,649,649,16,649,502,502,649,100,649,800,503,501,800,649,502,173,172,800,282,503,501,504,501,501,501,282,502,501,502,503,500,503,800,282,800,385,501,503,649,16,501,800,503,503,282,500,502,502,503,500,16,502,502,501,649,649,503,500,710,800,502,503,282,800,649,800,503,501,501,649,504,800,282,649,800,501,500,502,501,649,800,708,502,503,502,503,503,503,16,503,753,502,503,282,282,500,649,501,800,214,500,282,501,503,500,504,500,502,649,800,500,800,504,684,502,503,800,502,500,503,504,649,282,503,500,270,502,282,800,500,501,282,501,500,245,221,282,801,16,800,16,501,500,501,502,800,503,684,504,500,502,502,503,501,800,503,282,800,500,282,649,503,501,16,502,649,16,800,16,73,501,705,282,649,282,371,30,201,500,500,649,282,649,501,800,500,503,500,16,953,428,500,282,649,500,282,649,649,925,502,191,649,502,502,501,501,500,282,501,502,649,501,212,503,649,501,503,501,977,995,504,502,919,800,800,501,501,649,502,504,178,500,500,800,500,800,800,500,677,927,800,282,589,500,502,502,502,503,500,500,800,501,800,502,500,501,500,501,500,500,500,500,501,500,800,501,502,282,800,646,501,425,800,503,282,85,502,502,500,800,282,503,649,800,500,502,800,292,800,500,282,649,282,649,503,500,649,106,501,502,339,16,502,649,55,649,501,16,649,282,954,500,649,649,649,800,649,501,501,503,503,500,503,502,500,501,503,649,500,37,501,502,282,504,503,500,637,500,282,800,800,501,406,282,500,800,800,649,502,501,500,500,932,649,16,649,649,800,282,503,500,503,800,649,16,282,501,503,16,107,800,649,282,503,282,503,282,649,716,501,500,502,318,500,800,800,502,101,503,503,500,107,501,282,766,760,800,800,503,502,800,282,503,501,500,503,502,800,500,501,649,503,500,501,501,800,649,501,278,732,16,502,649,502,16,282,649,503,800,800,503,504,503,502,16,502,503,500,500,649,653,503,501,502,500,800,503,275,500,800,500,282,282,500,800,296,503,800,503,16,649,800,649,28,649,800,649,800,649,500,503,282,814,503,282,649,500,503,800,914,500,800,503,800,774,502,501,800,282,800,161,800,649,649,502,649,649,503,16,278,282,500,500,503,502,649,501,503,501,500,282,649,880,678,501,502,800,503,847,503,649,500,501,649,502,873,500,16,846,639,800,649,500,800,649,501,502,282,501,503,800,501,282,649,649,474,649,16,649,800,649,800,863,649,800,503,800,500,649,521,320,16,139,800,503,672,501,800,501,503,800,501,501,649,502,282,501,503,800,282,649,282,504,800,649,800,649,282,800,500,503,16,282,355,800,649,649,800,800,16,958,502,649,503,800,503,502,800,649,503,16,705,501,282,355,16,649,503,800,649,502,649,16,897,800,800,503,500,16,504,501,649,649,502,503,649,864,282,502,107,649,501,501,502,800,164,501,667,503,502,649,103,649,501,800,502,16,503,649,503,16,501,502,16,503,282,500,503,800,800,978,800,501,503,649,800,649,502,649,649,501,649,652,800,502,649,282,502,649,502,897,559,741,501,501,649,16,645,393,643,780,800,27,500,282,501,501,500,500,502,649,501,978,546,800,502,500,282,500,710,501,800,724,282,282,503,501,16,503,503,503,503,282,501,502,500,501,800,80,321,405,503,503,641,500,800,502,16,649,502,800,501,181,502,16,500,501,500,500,503,282,503,800,649,16,502,649,482,682,818,823,503,500,800,503,213,501,800,800,649,103,282,208,500,800,16,500,503,500,800,800,502,16,503,800,502,800,800,501,800,282,501,649,649,500,502,800,800,500,649,503,500,628,183,800,16,722,503,501,649,66,634,282,500,649,504,686,502,630,517,500,66,503,126,503,502,503,593,501,800,800,282,500,516,800,500,500,502,502,502,282,503,502,504,500,502,649,501,501,503,107,502,500,500,502,282,503,800,501,161,501,282,729,282,501,649,503,282,501,282,649,501,119,500,107,501,502,503,501,798,800,503,503,503,502,800,649,649,501,649,649,282,501,502,243,500,503,377,103,282,649,503,501,502,16,503,107,298,500,501,16,502,103,107,800,501,282,16,502,649,501,500,502,649,942,16,502,503,649,503,800,502,501,800,893,500,502,515,282,500,500,649,500,501,89,282,501,500,500,503,500,503,502,800,649,800,800,502,503,502,800,501,501,800,649,502,667,842,134,500,501,220,917,954,800,799,501,800,800,16,800,500,501,503,649,756,502,649,649,800,1000,501,501,502,503,649,70,502,501,800,16,800,502,502,800,800,500,500,282,501,501,421,502,500,800,503,503,384,800,501,501,500,800,800,649,800,502,974,282,649,430,282,503,800,800,500,49,500,500,569,649,502,282,502,800,500,282,800,97,501,800,120,502,502,500,502,502,502,500,523,146,501,502,502,500,800,649,503,502,500,501,500,502,16,500,649,649,931,500,800,500,800,502,501,649,503,103,107,800,501,500,800,502,502,500,856,282,282,686,501,680,800,500,649,500,502,501,502,16,800,649,501,649,500,107,500,282,649,502,37,500,800,503,282,282,282,502,800,800,800,500,502,500,501,504,500,500,502,649,16,649,503,503,649,16,860,502,500,502,503,500,503,501,501,649,501,800,800,19,16,501,103,252,282,649,800,504,649,800,282,800,503,282,282,649,500,649,16,503,502,503,649,501,649,800,503,649,500,500,500,649,103,282,503,502,501,649,649,649,503,502,502,16,800,502,500,282,800,503,503,502,649,282,282,282,503,503,649,502,649,282,502,503,519,500,282,800,62,800,501,45,649,649,503,502,16,800,649,649,229,503,16,16,500,107,502,502,501,649,16,501,501,500,657,282,502,282,103,500,502,502,503,501,503,800,800,503,800,282,500,500,500,500,800,500,501,800,502,501,107,800,800,500,16,503,500,800,800,501,800,924,502,760,107,500,649,501,800,649,649,52,800,501,503,503,282,282,503,800,649,800,501,500,649,282,502,59,282,502,987,16,649,501,800,501,500,728,323,683,107,771,711,500,502,502,500,982,649,649,90,649,800,649,892,501,282,502,503,501,500,501,503,501,502,500,1,502,502,649,282,800,503,500,502,501,842,501,500,503,501,502,501,976,504,649,500,503,649,573,503,800,800,501,800,649,502,500,502,624,16,502,500,501,500,503,501,282,501,197,800,500,502,16,107,221,503,103,58,500,824,649,16,500,501,800,282,502,649,501,500,483,649,500,503,500,503,502,107,649,500,503,649,800,502,800,500,282,501,649,502,282,605,502,705,501,800,800,282,501,502,503,107,504,15,649,484,504,916,33,649,800,502,501,649,500,502,649,502,502,800,502,15,649,918,502,800,503,243,502,196,500,665,800,500,649,503,503,503,800,500,800,649,306,501,282,500,501,16,501,501,500,503,503,649,502,800,502,649,649,501,13,800,501,800,502,649,501,500,502,502,501,503,649,800,502,503,500,649,649,501,500,501,501,649,103,500,649,282,952,500,500,502,501,282,503,502,500,282,800,800,649,502,800,501,502,501,500,800,502,649,502,502,502,649,613,500,502,800,500,500,503,649,19,502,649,16,252,502,425,502,800,504,500,500,502,282,282,800,282,501,103,500,504,649,503,649,502,502,503,800,501,502,649,501,16,502,547,800,649,503,800,500,649,500,103,500,649,649,282,997,16,502,107,501,800,228,649,800,175,575,649,800,655,502,649,800,503,502,500,501,800,503,501,500,501,503,501,500,938,16,295,501,501,19,649,800,502,428,800,649,800,282,800,502,649,500,16,502,298,649,63,282,504,503,71,649,500,649,798,500,501,500,649,649,800,872,503,800,649,399,738,800,649,807,500,453,500,789,800,500,502,561,503,501,649,501,282,501,649,501,16,500,103,649,203,93,502,501,501,502,800,500,16,502,904,503,112,500,502,502,500,16,765,501,501,16,501,502,501,649,503,649,503,800,500,503,649,501,503,800,794,502,502,502,501,500,282,500,500,502,649,800,649,503,501,504,16,800,502,501,800,16,200,503,500,502,649,800,501,500,800,500,500,601,504,500,501,502,503,501,649,500,501,503,501,503,16,16,502,282,501,500,500,649,502,800,649,107,311,800,503,937,16,502,997,501,500,502,502,500,103,751,800,282,649,649,333,503,500,782,503,503,503,800,501,500,800,906,500,502,705,282,800,800,613,48,503,16,649,501,501,282,503,649,500,502,501,91,502,649,282,503,500,854,282,501,504,800,800,282,800,502,649,501,649,649,502,500,334,58,282,503,649,649,800,503,649,388,649,503,798,501,503,500,649,500,100,500,282,282,775,649,788,500,501,282,103,503,501,502,500,501,282,800,649,917,500,500,503,16,16,501,502,501,540,800,503,503,649,203,800,282,806,800,502,500,501,503,649,501,649,503,649,502,500,468,502,502,503,735,504,649,501,503,501,500,500,800,107,502,649,649,502,503,504,282,501,282,503,500,503,800,503,16,501,127,237,502,501,649,282,501,500,649,709,649,779,121,800,500,500,501,320,598,501,501,649,352,502,649,16,649,501,800,282,501,501,503,16,840,500,504,800,501,502,800,16,501,649,103,501,503,501,500,500,649,501,800,502,800,598,502,500,502,649,501,502,500,500,500,800,500,649,16,800,501,282,800,800,800,502,503,16,501,282,501,800,649,800,795,800,500,649,500,503,800,502,503,107,501,500,503,501,501,649,800,649,500,649,800,800,502,502,500,503,800,16,501,105,649,502,282,501,800,112,504,717,501,503,500,649,500,498,725,503,649,502,797,282,107,500,800,649,501,503,501,500,502,501,503,501,503,502,800,282,649,322,500,502,649,503,282,649,501,929,502,503,500,156,800,800,800,701,502,503,500,502,909,185,118,705,501,502,501,500,282,626,282,501,503,501,649,501,501,649,500,649,501,649,16,750,282,502,649,500,596,500,501,16,502,502,16,502,430,502,16,215,800,379,500,800,502,501,503,500,502,649,267,501,501,502,282,254,500,493,503,500,501,504,501,502,500,501,282,500,503,16,282,500,502,501,649,107,282,502,501,729,500,502,503,500,503,504,800,297,500,800,278,649,364,649,649,740,800,500,649,847,705,649,256,503,501,649,649,649,502,282,16,709,502,800,504,649,800,649,501,504,282,161,503,760,500,502,261,828,282,649,800,564,510,501,502,502,693,282,649,502,502,649,800,501,501,501,282,800,103,501,371,502,502,500,825,500,694,500,649,493,502,504,503,800,282,16,503,501,501,500,501,649,501,503,501,800,502,501,502,649,502,501,501,649,501,501,649,502,800,800,503,503,649,800,649,445,649,16,649,501,502,585,52,800,503,503,503,221,502,800,672,800,500,500,501,500,649,502,631,649,649,649,502,502,649,640,500,504,649,282,800,500,476,16,501,503,503,800,108,649,800,230,501,503,859,503,503,502,282,500,503,501,503,503,502,800,934,649,501,800,800,705,800,282,503,88,502,820,500,724,800,124,500,649,503,501,500,502,500,800,649,501,967,542,503,649,500,503,378,821,500,16,649,502,649,502,649,504,504,800,996,500,649,501,800,502,501,107,649,705,705,504,502,500,649,502,501,915,501,500,744,582,649,282,502,500,800,649,502,503,502,800,206,502,502,504,502,800,503,502,502,502,502,649,559,649,501,800,500,501,500,500,800,800,502,503,503,503,248,649,800,501,282,649,502,107,503,738,502,500,792,504,43,282,800,503,800,502,800,282,447,502,503,107,502,800,649,502,800,649,500,107,503,502,649,501,501,282,503,502,800,503,502,501,501,800,503,800,800,502,501,501,282,500,500,649,500,16,649,501,500,800,500,503,500,380,649,649,649,649,800,282,649,282,649,649,501,800,502,282,501,649,503,800,282,893,103,16,649,501,800,910,503,503,502,503,501,649,500,338,282,649,502,501,501,502,800,501,500,209,503,502,649,501,500,282,800,649,502,500,16,503,500,501,282,503,800,800,16,503,502,282,502,282,503,503,649,649,258,503,649,179,800,502,502,503,663,501,800,501,500,282,800,85,500,501,500,649,800,507,800,500,649,500,500,282,649,282,501,503,500,502,649,501,503,501,545,649,16,503,500,417,800,649,186,649,800,649,503,501,16,503,388,500,16,282,501,649,649,500,16,892,800,500,500,649,168,282,649,800,282,503,649,800,800,501,251,308,649,503,500,16,282,500,503,649,649,282,107,649,500,501,501,503,503,952,797,800,800,649,70,16,502,501,503,800,906,501,282,502,500,502,500,503,501,500,418,504,501,800,649,7,107,503,969,501,649,245,800,503,504,502,502,500,502,502,670,503,800,674,501,959,502,800,800,500,504,503,282,16,649,501,502,501,623,384,800,500,282,800,500,503,103,732,500,503,501,340,503,500,503,800,501,500,649,16,500,800,282,503,16,282,180,800,649,666,800,503,500,502,502,649,501,471,502,500,502,876,447,500,500,501,750,500,649,501,500,992,500,366,137,503,503,501,722,500,649,500,502,571,282,503,763,800,16,16,649,503,502,282,500,501,502,649,649,502,649,501,402,800,649,282,282,800,649,649,500,800,649,649,649,503,924,502,500,815,500,649,800,504,501,649,503,501,501,673,800,649,649,501,649,501,800,500,800,649,282,503,16,649,501,282,502,16,800,504,500,501,502,631,500,16,282,502,800,500,800,503,649,103,909,800,800,502,800,503,500,649,282,789,500,503,503,800,800,502,500,503,649,282,16,501,649,149,649,282,502,503,649,649,503,500,501,504,870,501,501,502,800,500,149,501,985,501,365,800,273,800,502,332,500,501,649,649,649,282,282,501,501,501,45,49,500,282,501,503,502,502,649,649,502,649,296,502,649,705,503,503,500,501,502,502,800,800,649,501,501,501,800,873,282,282,502,107,502,500,282,500,500,500,501,649,500,503,649,649,502,282,282,500,503,103,500,282,649,282,107,502,503,649,501,800,282,500,503,649,103,500,107,800,649,503,502,503,502,435,282,500,649,107,800,16,500,501,800,502,501,501,800,272,800,503,500,501,649,800,502,532,502,649,500,502,649,800,649,800,649,649,503,16,649,624,313,502,363,800,502,649,283,502,800,16,675,502,501,500,500,649,282,502,800,503,282,360,800,152,500,269,649,649,622,502,501,282,502,715,16,500,501,282,504,500,649,500,649,501,502,16,429,649,500,649,503,800,800,501,502,282,282,501,897,649,501,502,800,503,16,649,800,788,501,649,288,569,800,502,455,807,800,503,282,502,649,501,503,649,649,800,649,604,503,502,502,501,502,502,500,424,500,800,649,649,110,800,500,501,500,800,503,649,649,800,500,649,128,502,502,649,800,501,16,649,649,502,800,649,502,502,852,502,649,800,500,800,800,504,800,503,503,501,501,503,282,282,501,40,410,500,649,800,16,501,501,503,649,500,649,282,500,800,649,800,500,500,800,800,500,503,503,501,503,500,282,501,970,501,598,501,500,503,282,800,233,500,501,500,166,500,502,502,502,649,742,502,282,649,501,800,16,504,503,501,800,5,502,107,270,649,649,901,649,234,503,502,649,503,800,501,800,502,503,282,115,501,501,500,500,579,800,800,282,502,282,485,501,381,503,800,502,502,800,649,800,501,502,503,501,503,501,500,502,800,502,502,800,503,649,932,16,504,800,649,27,800,649,502,503,503,500,800,323,503,282,107,503,501,502,502,501,800,502,360,501,800,501,16,649,503,500,502,649,503,800,502,503,500,649,800,649,800,16,800,28,500,503,501,16,800,800,282,502,504,135,16,503,502,500,503,800,503,282,269,16,500,500,649,282,282,16,649,649,500,937,503,501,800,502,500,649,282,500,800,503,502,154,649,503,503,282,500,949,800,649,800,502,914,943,502,800,649,786,649,196,176,502,500,809,942,501,482,503,502,501,503,998,141,501,800,598,649,502,501,777,502,501,16,16,206,649,91,107,503,282,800,800,502,282,282,501,502,502,500,282,282,282,501,649,56,502,501,502,504,282,503,378,421,502,500,16,502,885,501,800,501,800,282,501,503,649,282,502,649,500,500,501,793,282,500,649,502,500,502,501,800,502,500,668,502,649,503,502,800,501,500,503,649,800,282,282,800,800,501,649,501,103,501,503,501,649,502,501,800,800,500,503,501,186,502,501,503,994,500,502,500,800,503,501,504,504,16,502,500,500,800,16,503,500,649,800,502,500,502,500,800,649,800,500,501,649,500,503,744,800,501,649,502,515,504,501,501,593,503,800,649,800,501,503,16,502,800,107,502,502,649,282,998,500,282,659,800,167,501,503,649,800,107,502,634,728,503,697,649,502,501,282,502,687,282,503,503,800,500,503,800,649,282,500,502,500,649,800,502,501,79,502,876,500,500,503,649,649,608,502,501,800,800,16,503,800,395,501,759,500,503,800,503,501,503,501,282,695,818,503,800,500,500,503,501,16,502,649,800,251,800,16,649,502,501,500,800,501,800,502,502,800,139,282,649,16,500,500,500,649,705,16,649,282,501,800,282,502,649,800,500,16,500,649,503,649,649,501,503,282,502,502,500,502,503,502,800,500,760,500,500,516,503,501,501,649,16,501,786,501,649,503,503,282,649,807,503,500,800,800,503,649,800,107,54,16,503,800,282,847,800,500,229,503,500,237,826,649,800,623,504,503,800,503,504,503,502,960,504,501,500,282,501,282,504,503,501,500,502,503,649,502,649,800,501,107,258,501,503,800,282,503,435,800,515,800,503,16,714,500,462,800,649,820,148,868,165,649,560,501,501,626,16,503,504,649,502,500,282,503,500,649,107,503,503,720,443,800,500,282,800,500,649,503,587,504,386,800,502,501,649,800,500,503,502,363,649,649,503,501,502,503,500,800,502,649,501,501,504,503,657,649,282,840,503,461,500,800,500,807,649,649,500,107,502,800,649,64,500,502,649,800,501,502,502,502,500,800,500,500,800,282,502,649,409,501,66,282,800,502,502,501,649,500,500,502,649,282,504,78,500,103,500,206,501,500,501,500,502,503,282,503,500,501,500,649,502,800,800,504,235,649,500,502,503,500,502,501,503,649,503,503,502,800,800,967,282,282,503,16,502,501,800,503,690,649,282,800,282,800,16,501,502,282,233,504,502,800,501,502,503,395,649,124,800,501,865,504,972,649,282,722,501,282,800,501,500,501,502,501,649,16,501,282,649,649,504,502,16,649,800,649,502,495,503,503,502,503,500,503,51,501,584,800,503,502,452,500,500,649,800,16,501,649,503,622,503,500,501,800,500,649,649,800,500,649,500,282,503,500,503,503,503,502,800,282,16,503,16,501,502,502,501,501,503,649,501,500,503,649,649,520,895,501,566,16,502,800,800,427,631,500,502,437,502,501,503,282,503,430,500,500,500,500,501,500,393,800,221,501,800,649,800,502,500,800,326,502,501,244,503,502,16,686,501,502,503,963,800,500,501,502,503,800,502,500,502,123,480,282,170,370,502,649,579,425,800,800,503,500,500,649,800,500,502,758,282,800,800,649,502,502,502,282,532,500,501,500,535,649,548,502,936,800,103,16,282,500,500,282,501,282,800,649,500,503,800,500,649,502,504,502,800,501,649,282,942,502,503,539,140,501,800,649,800,501,282,501,502,724,709,475,502,649,282,395,500,501,502,16,649,502,107,502,500,501,500,503,696,500,800,100,502,500,16,502,649,649,649,500,502,649,649,502,26,800,800,501,952,501,501,974,501,503,282,282,501,465,800,500,800,282,800,695,649,275,502,800,500,502,502,16,649,633,502,500,502,500,501,282,501,282,445,592,282,649,501,502,502,482,503,502,649,503,649,502,503,502,282,500,649,800,800,16,649,501,501,502,502,833,649,531,282,649,154,502,504,649,502,503,354,503,282,500,800,800,523,16,501,649,771,282,800,500,282,800,753,649,800,16,503,503,500,649,107,501,502,391,649,503,100,503,502,496,800,503,501,649,282,500,503,800,282,502,932,500,503,800,501,282,502,500,282,336,503,649,501,649,800,444,503,502,503,501,502,501,649,502,503,503,199,504,500,502,502,800,649,649,501,16,902,500,500,500,500,500,103,800,590,502,282,649,282,800,649,501,649,800,501,800,282,800,282,500,43,800,649,16,107,501,502,500,501,800,800,502,649,500,282,800,501,870,503,500,502,767,261,282,500,503,649,500,649,153,845,649,307,503,528,282,500,503,800,800,500,501,502,500,502,503,800,649,501,107,649,501,800,282,501,501,649,649,649,502,649,503,503,502,501,502,503,502,502,649,282,500,503,800,503,282,502,502,879,502,500,83,705,649,500,16,88,282,16,502,649,205,503,500,800,282,501,501,926,502,649,78,399,501,504,502,503,649,502,500,500,245,500,649,649,501,501,502,107,800,500,500,501,500,800,800,649,501,16,502,500,800,649,649,503,16,956,649,800,500,500,502,503,977,502,282,115,800,500,501,501,649,501,649,500,503,501,16,649,28,501,503,282,501,502,502,503,500,282,282,500,502,800,501,500,282,501,500,503,502,501,502,502,500,649,502,501,502,500,199,503,502,503,502,501,501,649,800,502,282,282,501,504,500,282,502,503,383,800,89,502,502,705,800,500,800,282,659,502,501,501,800,649,502,282,649,500,501,504,800,103,503,800,822,502,500,800,503,649,502,501,16,800,800,800,502,501,16,649,500,649,503,800,800,501,502,649,803,740,282,501,500,500,884,503,363,502,501,247,16,649,437,523,503,501,503,501,800,500,502,502,502,500,800,500,502,649,880,282,800,500,282,500,649,501,551,221,282,501,502,500,502,500,800,800,504,649,503,800,501,502,503,503,501,475,503,649,501,863,501,282,16,503,501,780,649,103,503,649,501,500,16,501,631,649,16,649,573,503,502,502,502,678,502,500,107,282,500,800,503,501,501,800,745,282,649,501,501,500,800,649,500,160,501,503,502,649,500,501,503,16,800,503,504,500,649,503,496,500,672,282,16,503,16,282,800,649,528,519,800,800,701,502,447,503,501,500,501,500,800,500,500,649,500,649,705,800,649,501,484,501,503,503,649,100,371,649,800,282,501,502,503,800,502,502,16,501,502,500,502,282,500,500,626,502,282,500,503,649,500,503,800,500,503,502,501,503,500,16,800,282,282,501,800,502,902,649,503,649,503,502,501,282,502,16,501,649,148,494,302,503,16,501,504,649,492,503,659,914,500,501,800,500,503,800,501,501,649,282,282,503,800,500,503,500,282,500,502,501,501,500,500,500,868,501,137,503,500,452,282,501,502,800,800,282,501,503,503,500,649,55,503,503,667,649,500,500,503,649,961,36,500,503,649,60,503,800,282,282,282,800,502,500,500,502,500,500,649,800,502,502,649,500,501,502,800,500,503,504,503,500,503,282,840,282,503,501,800,500,362,16,500,502,803,503,689,504,500,500,501,282,502,797,501,501,501,503,649,502,649,503,649,649,502,800,501,503,282,650,649,502,500,649,602,649,649,500,202,649,800,15,501,830,16,800,503,501,649,500,282,503,500,501,503,500,500,500,282,501,500,282,504,800,800,282,649,502,501,502,503,800,16,503,502,649,503,649,649,16,502,55,500,502,500,805,649,649,800,501,800,103,800,800,649,500,649,500,476,649,848,233,502,502,502,500,500,502,500,16,931,502,16,502,502,649,649,649,800,282,503,807,282,107,649,800,501,282,935,649,649,282,649,357,303,649,649,502,710,800,567,800,649,800,761,501,503,501,500,500,500,502,501,502,501,502,649,16,48,500,282,502,503,800,649,500,500,800,503,502,504,800,800,800,649,649,627,501,888,960,501,502,501,282,282,501,16,665,16,800,500,107,500,747,503,501,503,288,649,37,800,502,800,107,649,829,16,674,500,282,800,282,282,500,500,502,501,501,282,503,649,649,502,800,502,282,500,680,881,503,503,800,502,501,282,800,754,282,502,501,800,649,649,500,800,501,740,501,500,500,503,503,366,502,503,501,501,502,504,800,502,800,16,500,503,800,942,502,800,170,192,504,649,502,502,282,501,284,501,282,500,800,500,500,502,503,500,501,501,502,503,502,501,202,649,304,503,500,282,424,107,800,503,161,164,649,501,282,500,501,630,501,502,501,649,282,504,103,503,502,649,649,500,282,500,500,800,649,502,800,800,103,501,503,501,500,952,502,501,500,797,800,500,501,374,502,503,282,500,502,16,649,649,649,55,502,503,501,503,701,649,649,240,282,500,502,800,500,800,500,800,503,282,390,504,565,282,500,649,501,649,728,500,502,503,90,16,503,500,649,800,500,503,501,501,500,282,282,322,282,500,649,501,501,800,503,800,500,282,502,102,135,649,206,501,649,649,649,649,800,649,501,503,501,503,282,800,233,502,503,800,967,800,503,500,800,649,33,16,501,795,649,500,53,800,649,501,16,503,501,649,800,800,502,501,500,503,649,501,282,849,503,503,961,649,503,502,649,504,649,282,649,500,503,16,826,107,649,502,428,374,649,282,500,503,500,649,501,503,800,501,800,501,500,800,649,649,502,15,649,282,917,649,500,800,502,502,501,502,649,317,800,800,800,16,500,282,501,501,502,500,649,503,501,501,500,282,504,800,503,800,502,200,649,500,502,501,282,501,500,501,800,900,500,501,504,502,649,800,282,107,500,503,503,16,501,502,501,649,500,502,800,549,502,649,800,501,501,500,503,503,16,501,501,891,501,800,500,800,649,800,649,800,501,663,502,703,282,282,282,282,800,503,501,502,758,658,649,800,282,502,590,282,500,503,649,501,787,503,649,503,374,800,502,649,16,502,800,502,501,503,242,401,800,649,649,502,407,649,649,282,800,500,282,282,501,503,502,501,173,502,501,800,502,502,503,800,500,501,500,504,501,800,200,503,800,503,653,500,503,500,282,800,501,502,489,501,282,282,800,107,502,500,282,502,503,227,500,500,16,800,501,500,502,501,502,500,501,800,649,501,504,500,282,503,503,649,502,502,500,503,502,649,586,502,649,501,442,649,282,501,502,649,502,503,282,501,501,649,649,144,282,503,800,502,649,501,503,502,735,503,800,649,649,500,649,502,501,800,800,282,501,501,899,16,503,502,500,800,721,282,501,501,502,991,500,16,503,203,500,502,502,649,503,502,503,501,649,500,501,501,800,649,800,502,503,800,107,800,501,502,282,838,178,503,503,800,501,503,500,134,500,800,502,800,502,800,500,503,502,282,649,503,502,503,800,503,16,16,649,500,501,159,504,500,649,500,500,500,501,501,531,502,503,503,649,418,503,800,414,789,315,428,35,800,282,800,822,649,865,800,503,282,500,800,649,282,800,503,501,166,800,503,501,501,502,282,500,501,16,503,502,503,800,649,800,282,502,282,28,391,502,649,503,789,282,503,16,500,56,980,500,824,111,800,503,501,649,254,649,282,649,500,500,501,720,502,502,503,503,331,800,503,494,502,981,16,802,500,649,282,503,503,503,500,501,502,649,498,649,649,501,500,800,501,502,265,800,800,502,502,800,649,649,502,503,649,501,503,502,800,800,76,800,649,501,503,500,503,649,500,503,503,502,500,366,501,502,500,254,500,391,649,501,261,800,503,502,649,282,800,108,502,503,649,800,504,501,503,67,500,501,674,100,500,501,503,500,500,282,649,501,500,107,97,500,503,502,503,500,800,800,501,503,503,501,649,501,800,649,503,500,503,649,500,502,500,107,503,800,800,800,500,503,502,503,800,502,29,15,502,502,282,800,800,649,282,282,800,270,463,817,800,498,502,502,502,501,500,16,503,649,701,502,501,800,500,293,501,503,502,503,800,503,501,202,503,875,500,800,16,500,504,282,649,282,500,282,649,282,800,502,800,649,649,800,741,800,502,649,282,72,649,500,501,649,649,16,649,800,282,649,501,501,800,800,500,502,501,500,649,705,800,649,221,504,519,500,800,500,500,503,746,736,501,501,649,800,649,703,282,649,502,800,502,502,501,282,500,649,503,649,36,503,502,502,649,649,503,228,501,649,387,503,649,800,649,800,649,502,501,500,282,743,500,460,282,500,501,867,800,800,504,800,503,501,800,649,649,359,310,501,16,503,800,37,649,649,502,501,500,800,649,974,649,504,501,723,800,649,503,503,282,502,502,649,351,501,649,500,503,500,649,16,800,800,503,800,502,502,243,16,503,16,501,448,502,500,649,503,282,103,503,649,649,649,649,800,501,500,649,501,501,663,977,282,823,800,649,433,282,800,503,502,502,502,501,503,737,503,649,503,502,501,503,16,649,502,107,600,800,503,282,503,503,502,502,501,22,800,800,502,282,145,569,800,500,502,282,503,500,500,649,503,503,503,500,800,503,649,502,800,502,282,800,501,525,502,574,500,16,504,800,649,43,504,503,649,502,983,500,503,94,502,800,500,500,800,500,500,502,500,175,500,500,800,800,800,500,800,800,501,501,503,649,67,501,649,502,500,41,504,503,501,649,800,503,800,649,503,503,501,501,503,500,649,107,800,502,503,501,500,903,649,649,502,503,501,501,504,501,800,282,800,282,501,502,500,502,586,502,501,503,501,500,800,500,126,500,800,500,282,503,500,649,800,500,503,502,502,501,503,800,649,800,501,503,501,501,273,972,28,812,649,649,649,800,502,649,502,12,649,649,800,500,503,649,800,649,16,501,503,501,649,649,731,500,501,800,500,503,800,800,502,273,107,280,649,107,500,686,16,580,501,504,686,282,649,649,502,800,649,649,270,800,800,503,997,135,504,501,500,16,649,797,800,461,830,10,649,502,501,503,500,502,501,501,500,504,800,554,282,103,502,649,503,800,16,501,800,649,501,649,649,984,502,502,500,502,503,501,16,800,649,500,16,501,501,282,501,500,504,432,109,503,282,503,649,501,649,649,800,282,282,503,649,501,800,503,800,282,803,501,649,500,649,500,671,585,501,503,502,649,800,500,501,500,501,503,649,800,800,500,502,501,995,502,800,107,649,649,282,500,502,818,16,649,800,649,600,600,502,800,282,501,501,16,57,500,503,501,503,649,502,800,713,800,649,649,282,503,501,649,501,88,282,649,800,501,800,503,649,282,16,502,502,502,501,282,501,649,800,502,282,800,817,500,503,503,502,503,649,500,800,629,649,800,317,800,500,501,732,500,501,504,501,649,502,649,649,800,649,500,500,698,501,800,501,800,649,800,925,500,500,500,503,503,800,827,501,360,501,502,649,282,16,800,16,377,501,282,501,502,649,501,503,16,500,503,501,503,905,502,16,649,500,500,256,800,502,501,500,503,502,500,800,501,500,649,504,500,500,501,500,800,649,16,503,282,624,500,800,282,16,502,649,680,800,500,500,501,330,500,649,800,502,337,129,800,649,282,955,86,201,502,800,800,503,324,16,501,502,500,504,500,948,502,282,282,649,503,500,119,800,500,503,501,504,503,800,501,282,707,282,867,502,500,502,503,800,500,16,503,503,800,500,282,503,282,501,502,16,503,501,282,800,649,800,500,502,16,282,282,501,282,282,503,800,504,503,370,16,16,501,503,501,501,688,503,282,502,502,16,501,649,649,502,503,188,502,489,308,807,50,649,649,649,16,282,500,16,500,503,611,504,500,502,502,649,800,453,500,502,504,649,503,16,503,919,282,502,800,649,500,649,502,502,500,16,57,501,16,16,107,800,502,503,924,649,649,501,501,503,17,800,503,282,504,500,800,503,16,502,501,502,502,501,501,649,502,800,800,282,800,503,500,649,800,503,501,800,501,501,800,501,649,379,502,737,502,500,501,503,384,800,500,501,800,282,500,500,800,579,500,502,800,501,800,502,857,500,501,282,503,501,800,501,282,501,501,282,503,854,282,500,501,502,282,501,500,500,649,501,503,649,502,502,500,502,681,503,435,500,649,502,800,433,879,274,500,501,500,649,500,16,831,501,503,500,502,501,501,503,503,503,16,649,16,500,502,501,107,502,501,501,500,502,500,501,502,649,800,502,649,500,282,502,649,77,649,502,282,502,282,501,501,800,500,649,800,500,502,800,502,503,649,16,503,649,649,800,16,257,649,800,649,800,501,502,649,800,16,502,779,503,501,500,502,794,649,502,236,504,800,503,16,503,501,282,503,649,107,500,649,500,800,800,501,502,502,500,501,800,16,500,503,649,500,800,503,16,649,130,107,16,500,500,500,649,502,634,333,502,501,282,800,502,16,649,758,800,503,675,500,800,502,501,501,500,107,649,501,800,800,502,649,501,502,502,282,800,564,502,282,292,501,649,282,502,503,503,282,649,503,16,502,800,649,929,800,500,500,794,800,501,16,501,501,107,501,503,500,800,503,502,500,501,967,296,503,705,502,840,649,372,503,502,476,503,705,649,503,501,501,282,649,649,500,649,502,503,500,800,103,501,282,503,501,500,800,282,500,800,503,500,502,282,503,503,501,501,501,761,800,503,502,800,501,282,502,649,282,503,502,501,800,649,800,503,649,883,500,503,800,649,649,500,500,257,649,500,800,649,649,583,301,649,502,649,649,501,800,935,501,649,858,501,645,800,503,16,503,504,501,828,504,282,502,583,567,649,800,282,503,649,649,503,282,649,282,503,800,272,16,504,500,504,500,502,500,103,16,501,800,501,282,502,500,502,501,800,501,16,103,103,502,889,699,502,503,502,501,500,500,800,800,889,500,500,800,649,500,501,503,501,418,590,649,503,502,649,800,16,501,649,649,16,282,461,503,503,68,800,501,503,649,502,649,503,649,381,500,501,502,503,649,502,649,503,502,61,976,649,500,800,501,566,502,503,503,501,500,500,500,502,501,502,499,502,282,649,800,502,501,502,503,649,649,503,502,16,649,904,502,500,501,898,800,502,500,501,800,500,502,800,649,501,503,282,500,502,678,649,500,132,649,649,500,500,899,800,759,503,500,649,800,501,282,649,800,500,501,502,500,800,501,501,16,604,500,504,649,500,501,500,762,282,282,800,282,800,659,503,324,503,502,503,501,800,807,918,282,501,502,800,502,501,504,501,500,686,649,358,503,16,504,649,649,501,800,800,500,500,800,502,800,501,16,550,503,649,500,649,501,282,800,282,504,16,282,800,103,501,503,684,649,282,649,503,501,501,503,291,272,502,800,503,503,500,386,502,649,649,504,500,502,649,649,502,800,285,282,501,800,503,649,16,501,500,500,502,800,500,282,800,502,568,649,503,16,800,800,282,503,649,501,501,500,800,500,16,501,503,502,503,501,282,502,800,908,500,501,800,501,441,800,492,800,800,800,649,282,800,649,128,282,169,502,504,16,504,502,503,500,78,502,754,649,822,502,800,500,500,282,649,649,800,502,649,649,554,500,500,100,800,500,649,800,800,282,649,67,649,800,16,800,282,500,800,502,649,501,500,502,502,103,649,649,502,800,649,503,502,501,800,282,502,502,502,489,500,649,500,502,800,501,109,800,503,649,800,501,282,501,511,503,649,649,132,503,502,649,502,501,800,965,649,490,649,503,16,503,800,170,834,931,501,800,800,175,503,282,503,501,800,649,649,800,235,501,501,500,649,249,649,649,503,503,282,500,282,502,649,800,503,501,501,103,261,500,502,503,501,503,298,649,502,405,800,800,503,800,800,501,551,500,502,206,502,501,278,500,503,800,500,800,649,502,800,503,800,319,649,811,500,501,500,800,501,500,16,16,502,144,501,16,800,502,649,524,282,999,800,282,500,800,282,502,785,501,501,282,503,649,502,107,107,649,457,503,501,501,500,501,502,815,800,504,282,720,503,649,800,503,503,501,503,500,238,800,103,92,800,807,737,171,501,649,649,488,500,649,501,502,401,503,282,500,649,501,457,501,500,500,649,502,649,501,649,649,504,503,500,920,504,500,503,501,16,649,502,503,500,107,649,502,800,416,502,649,800,800,282,649,282,582,369,649,503,649,502,800,649,500,503,542,500,502,503,501,500,502,966,649,800,503,502,800,174,501,501,800,282,282,504,501,503,504,16,649,828,800,649,503,500,800,800,282,649,800,500,501,282,282,891,800,500,800,800,649,964,503,800,504,800,503,996,649,800,500,503,503,502,502,800,649,800,501,282,282,282,800,501,500,503,282,263,501,503,282,800,692,282,282,649,500,503,649,16,282,649,503,800,56,503,239,649,500,500,282,800,500,800,140,649,649,619,800,649,649,649,503,173,282,333,800,504,502,500,502,500,503,800,503,502,502,501,800,649,502,500,500,500,502,503,503,503,800,649,800,500,800,503,502,502,800,500,649,649,501,500,16,800,800,502,800,503,282,649,16,502,500,501,649,800,649,500,503,502,502,501,502,800,502,501,503,502,176,503,800,500,503,502,501,502,748,374,282,649,500,282,501,282,500,502,16,501,282,501,503,500,841,800,800,501,500,107,474,501,502,16,500,649,282,503,817,501,591,500,282,500,282,500,649,503,500,800,503,502,501,705,503,501,501,500,503,282,502,649,649,282,502,500,282,800,501,398,403,649,282,503,502,503,107,502,503,503,648,107,950,503,501,501,501,800,282,282,649,503,583,502,501,502,922,500,800,500,501,800,282,501,750,502,502,501,272,16,502,503,500,501,649,107,649,503,501,728,649,500,588,16,504,649,503,501,503,503,649,501,503,500,800,649,500,500,673,503,297,503,501,500,503,284,649,800,500,649,502,503,694,779,603,193,649,282,282,500,501,800,501,504,502,503,500,504,706,501,503,501,649,501,503,800,500,482,503,800,282,736,649,824,85,503,500,278,649,501,282,459,225,500,504,107,501,800,800,800,551,107,503,502,649,649,501,502,282,719,800,500,649,503,500,335,16,649,800,944,649,447,697,500,502,515,500,500,376,502,800,500,282,501,194,883,501,282,821,503,649,503,800,500,649,282,500,800,649,714,282,800,800,649,16,502,501,282,502,800,502,282,282,503,16,150,800,504,502,502,504,649,503,800,190,649,503,16,500,800,649,282,800,503,693,502,16,502,501,572,502,800,503,800,16,360,501,503,800,502,503,502,800,705,501,502,501,16,504,503,107,765,282,649,502,649,500,649,503,16,36,500,282,282,500,503,503,503,500,649,500,501,501,503,649,502,501,547,503,501,800,502,502,501,503,503,649,503,429,649,282,500,502,571,649,63,502,282,800,800,103,501,264,16,282,282,282,649,800,502,282,500,800,503,502,503,503,504,500,649,501,503,502,282,500,23,503,800,649,103,800,500,502,502,282,649,503,500,500,44,502,800,800,501,503,448,501,503,502,504,800,501,282,800,500,500,23,649,501,800,649,501,649,501,502,649,500,757,500,502,503,248,500,517,501,503,282,501,649,800,501,649,800,501,649,649,500,500,501,502,501,649,501,503,800,721,649,800,649,898,502,282,500,501,649,501,649,649,244,282,501,500,502,500,501,500,503,501,649,501,503,800,503,282,16,501,501,501,503,282,800,503,503,501,501,504,501,501,649,501,500,649,649,503,55,503,800,503,502,502,503,944,502,649,500,649,502,502,800,501,800,873,649,649,800,503,500,500,501,503,441,107,352,501,500,502,800,800,500,502,500,500,502,501,502,140,501,501,503,199,500,215,800,503,107,649,503,501,501,500,800,500,282,800,649,502,920,154,500,503,503,500,89,501,649,500,503,16,576,503,500,503,800,504,663,16,800,800,649,282,502,282,107,800,503,503,502,107,500,500,501,800,503,500,800,800,800,503,501,649,500,282,502,501,501,502,714,501,649,649,150,282,800,500,282,503,502,500,501,502,59,800,458,800,500,503,501,800,649,500,649,649,501,239,502,501,501,649,442,649,501,503,504,800,282,501,16,800,16,649,503,501,800,649,500,503,800,649,502,502,500,282,504,501,282,843,649,666,800,501,282,502,503,800,503,595,432,504,289,502,502,991,503,500,500,500,649,501,501,649,800,502,503,500,501,31,502,500,503,103,16,503,503,107,649,800,16,800,500,503,27,649,649,500,501,282,16,649,501,504,501,649,556,649,503,500,649,649,503,503,282,503,503,502,500,502,502,659,501,834,800,800,800,649,649,282,846,649,500,649,16,500,800,649,502,800,800,800,282,649,649,649,502,16,649,649,75,500,800,800,503,502,502,800,16,282,502,502,501,854,16,502,16,500,501,501,91,809,800,501,502,862,16,500,500,800,985,503,501,649,501,282,503,282,500,501,800,27,649,503,500,282,502,500,501,649,500,501,649,502,649,649,420,501,501,800,282,500,649,503,503,501,16,502,649,927,107,501,501,282,503,671,502,504,282,282,502,874,617,800,16,502,502,800,500,16,502,649,16,16,503,503,503,500,501,611,649,503,649,503,800,500,500,356,501,800,501,547,800,501,500,581,503,501,500,800,501,502,503,800,502,680,500,500,787,800,502,649,800,649,501,503,503,501,502,503,800,649,503,598,503,500,800,16,503,800,282,503,502,800,500,502,16,484,501,502,502,226,387,500,502,501,503,500,800,912,282,503,282,282,11,502,503,800,282,175,649,800,500,500,649,500,503,16,686,649,800,502,282,800,500,649,282,947,502,800,501,502,213,649,500,502,501,959,502,501,500,503,800,500,649,649,501,500,500,206,90,502,500,503,556,800,16,858,16,501,649,503,501,16,800,502,458,16,649,800,827,503,503,836,500,503,500,500,503,649,500,503,282,800,500,502,16,502,502,16,503,504,800,502,649,500,503,282,282,12,500,649,502,501,662,807,503,504,502,501,458,282,500,502,504,502,504,16,500,503,502,500,800,500,800,282,502,292,800,16,503,708,800,800,502,800,800,500,800,235,502,502,503,502,154,800,800,800,649,500,500,800,501,503,502,649,800,502,649,502,501,504,649,503,502,501,500,16,800,9,501,502,800,800,120,501,503,500,500,818,800,503,503,501,502,800,500,501,500,503,800,502,95,299,503,800,500,16,649,500,649,503,501,500,868,503,502,800,649,16,500,504,501,501,649,115,107,500,649,501,649,649,501,649,501,503,800,503,501,500,501,500,500,481,501,230,491,500,800,500,568,503,501,503,503,502,704,502,501,501,502,649,500,642,502,500,502,502,502,103,649,800,500,391,503,800,282,649,504,534,503,754,764,649,501,800,500,800,502,827,800,501,501,500,501,282,500,519,500,620,502,324,800,282,649,800,649,501,649,649,503,567,501,502,800,7,532,649,118,16,500,501,502,500,800,502,282,501,500,282,500,800,649,282,502,282,649,501,503,671,649,705,504,502,501,800,501,501,502,282,649,501,503,504,649,501,649,800,502,303,800,500,502,107,649,501,700,500,282,649,16,282,502,800,800,503,282,784,649,500,801,501,501,503,501,503,501,800,282,649,570,16,380,16,649,503,603,500,500,501,503,503,988,662,107,501,649,16,800,504,282,16,282,500,500,502,282,339,894,504,791,373,559,502,502,649,758,500,501,500,16,649,503,649,12,800,107,282,503,920,664,227,500,502,649,284,501,500,282,502,800,800,706,502,282,501,502,654,16,824,500,813,500,502,501,423,500,503,800,502,107,649,611,59,16,748,502,503,800,800,693,501,500,800,885,503,649,470,503,993,503,649,16,559,502,500,502,773,282,649,16,649,320,103,282,502,16,503,800,503,649,649,247,502,2,282,504,16,800,800,501,503,501,500,649,282,500,649,535,16,500,500,282,800,500,500,503,842,649,649,282,282,501,500,502,503,500,501,273,501,500,800,800,800,744,282,502,500,501,500,16,503,649,633,501,282,800,649,973,800,501,107,16,649,501,649,501,502,182,16,800,502,500,501,502,500,503,800,865,475,282,282,500,887,923,503,501,500,501,16,500,649,503,503,800,500,16,503,800,500,800,324,502,503,503,282,445,386,501,501,282,500,501,500,502,929,649,500,500,262,504,282,503,502,503,649,502,800,503,800,503,500,649,501,800,500,16,500,503,105,800,864,500,282,501,649,500,282,800,501,800,282,501,502,282,503,16,503,649,282,649,5,649,282,600,502,25,800,449,334,501,282,807,55,649,282,649,502,649,800,16,501,649,502,800,649,503,649,500,503,800,649,271,501,501,500,800,502,502,501,501,502,501,986,800,503,649,501,503,503,501,502,501,282,908,501,800,503,649,502,649,800,389,800,503,800,800,502,282,503,103,502,500,500,649,503,136,282,504,502,800,500,502,503,497,502,800,800,282,282,282,649,649,649,503,649,800,800,147,501,282,649,852,500,800,501,503,816,282,282,800,503,500,502,901,503,881,800,800,892,501,500,282,500,16,282,502,934,503,502,649,502,501,282,500,500,800,502,800,502,800,700,800,502,500,503,500,502,282,502,800,501,503,160,649,500,501,800,500,500,503,661,103,501,649,988,222,500,503,649,993,16,950,649,177,789,502,500,649,500,107,649,282,983,306,649,107,502,920,501,500,503,502,570,649,952,501,800,503,16,800,800,282,503,649,500,925,502,502,800,501,503,800,800,293,315,501,502,800,800,500,503,503,500,667,502,282,500,500,500,502,854,800,503,282,503,500,502,500,282,503,503,800,143,503,502,501,503,500,282,649,380,502,501,800,502,282,501,501,502,282,800,502,503,399,503,16,16,500,586,501,649,502,503,502,501,16,16,501,800,649,504,503,500,282,705,800,428,404,800,504,800,1,500,502,649,282,501,649,500,16,500,16,61,503,502,502,501,800,500,500,501,504,800,500,500,649,734,282,502,502,500,478,800,503,502,308,502,500,902,501,843,501,504,500,788,528,898,649,503,16,501,502,649,800,503,501,282,664,503,649,500,502,501,500,169,504,103,501,800,107,800,16,282,374,649,16,500,503,501,501,501,501,502,500,503,800,800,649,500,649,500,501,500,501,282,282,649,800,501,503,502,503,282,501,800,800,503,282,500,649,282,774,749,16,500,196,683,649,502,503,149,503,282,501,649,649,800,649,503,501,879,500,650,800,649,500,500,500,500,418,649,501,100,502,282,503,16,500,500,800,502,502,561,503,800,649,649,925,276,649,502,649,690,501,282,649,502,503,501,800,635,501,812,184,503,649,500,500,501,501,280,649,535,16,500,503,502,501,502,800,476,503,649,501,800,503,282,503,500,800,504,500,501,282,500,503,503,800,503,800,282,500,649,800,649,737,503,503,503,503,800,501,502,16,649,16,501,502,502,839,800,282,500,659,800,502,561,329,152,16,500,16,503,800,800,649,503,503,502,501,501,282,500,500,502,502,503,501,800,769,29,503,177,800,500,282,800,500,282,16,16,503,107,502,503,502,649,649,501,359,649,16,800,501,502,501,282,282,800,502,503,500,282,499,503,500,800,503,649,649,881,16,502,800,502,800,800,282,501,501,800,500,441,16,501,503,649,501,500,649,100,255,501,501,618,500,800,501,800,282,724,498,649,649,503,282,753,502,501,649,502,503,502,502,800,500,502,501,502,649,549,503,500,649,501,809,254,504,282,282,502,800,500,800,502,800,800,649,500,513,800,503,501,15,800,500,502,502,503,800,800,501,649,503,649,501,502,504,649,502,800,16,184,63,500,800,501,503,501,800,500,649,649,503,500,501,107,503,502,77,503,503,500,670,503,282,503,500,501,502,501,57,503,501,501,282,649,502,800,921,501,273,500,502,649,501,500,500,800,649,502,119,503,501,800,800,739,501,800,501,649,439,360,504,282,135,282,502,282,501,501,800,800,150,800,500,800,800,564,800,500,332,501,649,282,16,501,203,501,503,500,502,282,800,500,16,503,269,501,501,800,282,501,282,800,800,502,503,503,503,800,649,282,103,503,169,649,500,649,502,502,501,16,503,232,800,649,649,500,500,800,800,282,502,503,649,479,503,502,504,282,800,503,196,16,500,982,501,501,504,503,800,500,800,220,501,282,502,649,502,282,800,503,503,463,800,800,16,16,501,500,649,502,500,894,503,502,501,501,500,649,503,500,501,500,282,503,502,16,62,649,503,649,528,500,484,500,649,502,900,649,10,502,282,500,800,800,800,649,800,95,501,500,649,502,500,502,503,503,800,501,501,252,501,344,502,16,500,800,649,800,800,502,16,254,401,800,713,501,282,503,503,503,502,302,624,800,502,800,649,16,255,649,800,502,445,649,951,501,502,315,503,800,800,282,502,649,500,502,502,649,501,282,502,649,502,258,502,501,501,500,799,503,800,766,503,544,503,235,982,500,800,800,576,500,502,500,997,800,502,503,503,16,649,501,649,649,649,800,503,282,800,502,649,16,282,649,800,649,649,501,800,501,502,99,501,649,218,503,501,500,16,649,502,16,649,501,649,500,649,935,503,304,649,649,16,282,282,500,800,649,503,500,16,282,501,500,282,503,800,800,501,649,500,500,504,649,503,501,649,501,503,800,503,501,17,800,500,501,503,500,16,649,503,800,502,649,502,501,318,649,502,503,649,800,500,800,800,184,503,649,500,501,503,649,649,800,503,500,503,800,501,501,503,500,998,503,501,282,500,502,700,501,502,501,16,502,502,631,503,501,502,503,943,282,500,800,502,649,500,500,800,502,501,503,503,97,649,282,800,503,536,649,500,282,502,502,502,800,819,502,106,649,800,178,705,807,282,500,501,282,503,501,649,501,649,500,501,501,649,282,501,502,305,501,282,503,501,500,500,502,482,501,502,16,649,587,282,502,500,501,500,502,501,501,649,501,800,649,502,523,16,502,500,502,503,649,649,504,282,500,500,503,455,688,800,800,500,649,501,502,501,813,504,915,503,800,649,501,285,503,649,483,649,500,649,500,502,645,501,502,282,932,502,502,500,503,503,642,504,16,501,500,503,502,502,800,503,649,503,500,115,800,503,357,800,649,649,232,501,16,649,282,501,503,800,282,504,502,649,800,649,649,103,501,503,800,503,107,501,800,800,649,789,503,502,649,800,500,501,500,500,649,800,501,800,321,501,503,503,282,501,503,503,500,649,501,649,722,500,501,503,501,500,800,502,502,502,500,16,16,500,282,649,705,800,561,503,500,16,649,503,800,503,503,922,255,282,502,800,800,421,502,800,501,649,649,503,800,503,800,502,504,925,502,500,502,502,502,500,800,800,501,501,88,501,649,502,649,195,500,503,502,649,500,504,500,502,825,800,502,501,783,649,503,500,501,573,800,503,501,649,800,649,800,501,502,503,800,501,503,649,501,502,501,502,649,502,649,501,503,649,501,501,800,503,282,813,800,500,282,501,500,503,705,500,16,501,500,16,501,502,501,9,501,500,36,502,502,800,503,502,649,16,502,503,649,504,501,800,502,649,502,500,107,800,385,504,501,23,503,649,503,800,282,649,649,649,649,503,649,800,501,500,500,734,502,940,282,649,501,502,502,282,501,800,503,500,800,800,282,705,501,501,649,293,800,16,649,500,282,282,794,649,103,649,502,649,616,800,502,501,500,500,107,16,501,503,502,800,503,649,503,669,800,649,291,649,282,800,503,483,501,800,503,649,501,649,500,503,282,16,501,649,500,500,503,649,501,615,649,503,800,129,649,503,500,501,800,500,53,649,800,501,987,973,500,282,501,421,581,503,649,501,500,501,800,501,712,649,500,500,282,502,649,501,800,501,502,502,515,500,503,649,501,502,503,328,649,649,500,800,16,500,500,501,16,504,528,501,501,317,282,649,501,501,503,282,649,800,649,922,800,800,502,503,649,516,285,16,500,57,503,503,267,501,649,502,502,649,502,502,109,649,446,282,649,800,54,649,800,501,16,800,217,649,676,649,503,501,649,800,503,800,500,16,501,500,897,800,502,649,500,503,500,501,800,649,405,500,649,649,649,503,800,664,800,502,500,500,500,649,501,501,800,500,649,503,800,489,554,103,649,4,649,503,503,501,501,500,107,500,500,800,800,500,502,503,502,649,927,503,501,503,503,800,649,501,649,282,501,501,16,502,800,502,503,502,312,501,500,503,845,16,501,502,503,800,16,308,502,649,979,649,502,107,649,502,649,800,649,282,502,502,502,800,649,504,649,501,500,999,282,256,800,800,501,502,501,649,16,61,16,500,501,649,16,502,502,800,800,107,649,501,800,502,503,405,649,172,649,649,503,501,800,502,501,16,501,500,501,501,502,502,480,501,502,328,502,814,649,282,107,503,16,493,649,500,500,800,502,454,502,502,279,500,504,501,500,500,800,501,800,649,653,899,282,407,501,502,500,649,502,501,199,500,502,110,16,501,502,649,16,800,649,16,501,503,501,502,209,800,504,282,502,503,800,800,16,649,503,66,501,282,501,501,501,649,503,800,649,800,649,501,502,503,649,673,800,49,500,503,500,503,504,649,502,500,503,800,503,649,500,800,861,501,501,649,504,501,725,500,502,501,503,649,501,573,503,286,501,502,503,451,502,503,206,800,501,20,282,347,800,503,649,402,503,800,32,502,947,862,847,649,649,298,502,503,649,649,502,502,503,503,321,22,502,502,384,16,649,501,649,107,501,502,502,560,649,504,501,503,800,800,501,501,282,800,502,500,649,16,800,564,501,107,649,730,282,554,503,502,502,502,800,800,501,800,800,282,16,800,800,336,282,501,500,501,503,649,500,501,280,502,500,503,16,649,503,800,781,649,649,502,502,800,16,501,501,649,492,500,649,800,800,830,502,502,500,501,501,502,500,282,16,487,504,649,649,649,500,500,282,500,503,800,503,282,800,500,129,503,649,503,500,501,649,503,502,649,502,502,503,16,649,16,501,962,16,501,503,500,500,500,502,502,282,502,503,800,54,800,282,501,500,500,503,502,22,649,282,501,649,504,270,501,282,800,800,502,504,182,500,501,502,503,501,649,649,502,752,649,705,502,546,800,649,705,503,800,649,282,779,649,500,649,800,649,503,800,500,501,649,502,800,501,501,649,502,503,501,500,501,649,503,22,503,649,800,501,649,362,649,311,282,649,502,502,503,751,800,502,501,800,649,602,500,500,503,649,502,63,800,107,500,502,501,502,649,282,502,503,649,503,800,500,800,503,357,649,800,800,868,501,649,502,649,502,502,282,501,500,649,649,502,500,502,501,762,478,649,282,606,800,16,649,800,16,500,502,502,282,800,800,500,501,800,500,649,502,710,800,649,501,649,502,800,503,908,800,503,501,502,282,501,636,800,501,503,649,800,501,551,282,800,502,649,471,800,8,282,282,649,500,501,502,649,800,807,500,800,502,649,800,503,501,282,338,502,504,800,16,282,501,503,502,502,518,502,503,502,503,502,752,501,800,800,800,649,649,500,649,125,800,501,649,649,501,637,502,503,617,649,500,503,800,500,503,503,500,503,503,800,502,502,500,16,50,39,649,649,165,16,502,502,502,649,500,649,649,500,797,800,502,16,16,649,502,502,649,282,500,500,805,649,502,16,500,500,502,500,800,503,501,502,502,501,500,800,502,501,501,282,503,501,649,504,282,800,282,800,502,649,800,500,502,500,502,800,501,16,282,877,649,501,504,500,502,503,649,501,253,503,649,16,350,501,502,800,501,502,800,848,502,503,282,541,502,503,649,800,501,500,892,282,16,501,800,16,503,16,705,649,500,649,835,503,800,800,503,853,649,649,800,501,800,501,16,500,92,501,282,649,786,800,500,800,282,710,282,649,282,500,901,503,282,800,501,649,649,282,501,800,503,649,502,503,503,500,500,282,500,500,502,649,503,503,800,800,500,503,800,89,504,800,501,500,282,501,16,502,800,649,502,502,649,502,502,503,500,501,503,800,800,16,502,649,16,500,800,186,500,503,649,800,503,500,504,500,224,503,800,502,500,503,501,503,800,800,282,331,800,501,972,649,500,586,282,503,500,580,500,800,502,503,502,500,502,282,800,324,800,800,503,282,500,282,443,282,500,432,649,649,503,503,502,800,558,502,501,649,501,500,800,649,500,863,340,649,800,503,627,501,800,107,501,502,503,502,503,107,800,500,800,502,501,501,649,500,503,501,501,491,800,649,500,800,502,630,518,502,282,501,800,500,500,400,500,800,282,649,501,800,282,282,800,503,503,559,502,503,16,745,649,107,800,502,502,502,502,649,292,995,282,501,282,500,189,501,566,622,503,800,501,374,800,247,649,500,800,800,800,828,500,800,800,500,800,501,282,502,800,282,800,500,800,500,501,500,501,503,500,503,503,500,500,500,501,500,267,173,649,501,502,800,800,502,500,649,502,930,501,649,502,726,16,503,501,800,649,501,242,503,649,401,500,503,502,649,863,500,800,501,16,501,800,800,800,500,800,503,503,503,649,285,501,800,649,503,800,501,500,500,502,501,501,706,649,16,500,800,503,502,16,282,503,504,800,16,649,503,800,503,16,503,501,500,800,800,649,649,800,800,649,725,500,451,800,971,501,282,500,800,800,189,545,981,504,503,59,500,503,503,282,503,800,282,500,25,501,503,391,502,800,502,282,107,502,800,500,501,501,501,503,193,103,800,501,502,500,500,605,803,800,282,500,800,500,504,500,503,649,649,103,282,107,649,503,781,502,800,501,649,502,31,800,504,282,282,188,107,502,501,462,500,282,502,800,503,500,503,282,503,16,107,140,500,503,503,501,502,282,800,503,828,501,503,503,503,503,502,107,501,800,502,501,502,503,649,282,501,502,501,501,800,227,502,502,502,502,504,500,502,503,649,501,503,654,16,501,649,502,500,649,502,800,800,500,800,800,500,500,501,800,800,282,561,332,16,282,282,649,501,649,74,703,503,800,649,649,107,502,502,500,504,321,800,800,800,282,800,500,502,500,282,800,705,800,500,115,501,649,807,500,501,500,522,855,800,502,800,502,500,500,246,503,500,503,501,649,502,800,282,501,649,800,800,282,503,502,501,503,500,282,807,975,502,649,503,649,500,786,503,649,282,800,501,800,503,800,282,282,500,649,121,502,502,504,503,321,501,649,800,502,500,500,502,501,501,500,800,649,118,500,103,543,800,905,502,800,282,502,501,16,107,649,504,501,800,800,500,503,503,625,649,502,800,502,500,501,502,282,800,503,807,649,681,800,800,649,502,501,649,16,282,940,800,16,503,16,502,502,503,821,503,502,928,282,586,501,103,649,500,500,501,844,503,502,503,501,501,503,500,800,16,649,501,500,800,60,800,500,16,503,501,502,416,502,649,800,807,502,501,741,502,501,502,502,501,107,502,503,503,503,425,502,649,501,76,502,503,817,649,800,502,344,125,502,501,503,649,503,826,502,800,502,503,502,800,350,500,501,503,501,282,800,16,228,282,503,649,171,503,502,649,800,503,282,800,503,501,502,500,502,500,502,503,502,504,649,800,500,503,502,649,649,502,745,501,16,503,649,282,566,282,129,800,800,503,282,282,501,502,503,800,503,501,998,800,503,502,501,282,252,500,502,503,282,649,500,800,16,500,107,501,649,500,501,94,503,38,16,649,122,501,501,501,649,385,603,441,800,800,739,649,800,502,500,500,211,503,800,501,800,501,282,501,282,649,800,282,649,500,685,800,64,502,649,500,800,502,16,800,649,501,324,500,16,800,282,503,103,501,258,52,502,282,800,888,503,502,649,649,500,282,720,501,502,502,502,282,36,504,656,503,800,800,500,503,282,268,282,282,800,282,502,519,649,800,529,500,800,501,776,282,502,649,501,649,503,282,649,282,800,208,800,503,800,502,16,501,800,501,501,649,800,800,500,504,649,504,503,543,503,502,501,500,282,501,500,501,107,282,649,800,800,649,649,501,649,500,502,800,502,649,502,649,287,687,649,503,503,503,282,800,503,49,502,649,504,503,653,500,942,780,502,501,503,500,500,500,649,503,800,503,647,501,502,16,16,526,16,502,503,500,649,569,503,649,800,503,275,649,501,500,20,500,501,501,503,503,503,946,503,502,502,282,501,503,501,501,502,501,503,500,560,649,502,649,503,503,107,501,649,649,500,501,649,186,331,502,800,478,500,503,504,501,800,500,503,649,383,500,501,500,500,948,316,503,503,501,544,503,501,800,500,501,504,503,800,649,502,16,16,632,501,500,800,359,503,282,800,502,800,503,172,502,282,649,502,282,501,503,501,503,502,937,501,504,502,501,503,466,800,502,501,501,500,282,16,500,649,800,504,501,501,501,649,282,503,503,776,649,800,503,501,649,503,800,649,649,503,501,502,500,649,500,504,502,500,649,501,502,502,649,800,800,500,501,649,503,500,501,466,502,501,500,503,502,668,501,502,434,503,167,502,800,282,146,502,502,100,503,92,438,500,75,919,500,501,502,502,501,107,501,966,103,502,503,501,16,649,503,802,502,800,502,501,500,100,502,649,502,282,649,500,501,649,282,500,827,501,500,800,649,501,649,503,504,649,501,649,649,282,800,649,503,282,500,282,800,501,649,649,500,503,800,800,504,500,649,16,282,503,649,503,282,800,800,501,503,974,246,649,16,501,560,502,266,501,501,649,501,504,649,501,687,500,502,800,687,500,502,502,502,501,502,501,500,649,503,500,503,503,800,649,130,501,649,500,282,502,282,500,800,503,503,649,649,649,786,503,503,417,501,737,502,503,198,691,502,502,501,649,500,282,107,282,501,500,501,282,501,500,504,500,945,800,640,107,500,800,800,649,502,649,503,501,501,800,800,500,800,582,649,500,500,500,501,649,492,800,800,502,257,503,649,36,800,501,722,503,282,501,500,800,500,500,170,800,800,503,282,502,852,282,649,594,649,800,502,16,501,800,649,800,502,800,649,502,502,503,705,957,800,649,649,69,282,800,500,282,800,800,282,503,500,501,88,502,649,649,482,967,501,649,753,649,501,83,501,807,622,502,502,649,501,199,501,282,800,500,649,800,800,107,500,503,520,500,501,282,649,503,800,16,649,389,16,502,649,282,800,502,282,503,502,504,503,800,103,502,677,800,282,501,282,282,502,800,502,482,800,282,649,216,503,504,502,649,501,501,16,502,502,282,800,529,503,501,501,800,502,501,503,282,649,273,503,190,502,800,500,282,800,501,502,800,504,649,504,649,500,800,800,502,502,502,800,800,500,282,504,503,503,282,800,502,649,649,16,182,649,962,282,800,649,43,502,800,501,282,794,800,501,800,503,16,501,503,502,649,800,500,800,800,466,500,399,800,503,500,107,649,500,418,502,800,16,502,649,502,501,800,649,500,173,503,800,800,649,649,468,282,502,649,501,503,800,501,955,502,500,502,502,502,879,649,649,282,502,649,503,858,501,500,649,649,502,304,800,501,501,504,500,500,501,502,500,800,800,649,504,501,649,718,503,501,503,277,649,502,501,501,503,501,838,16,502,649,16,277,503,800,649,230,649,649,502,503,649,502,800,501,500,16,282,501,501,503,800,502,649,500,800,503,800,649,98,500,649,500,800,500,800,500,503,503,502,16,800,649,800,500,503,649,504,500,282,501,500,502,502,500,501,800,800,649,501,502,501,503,649,800,503,649,502,501,800,103,766,502,649,800,502,16,500,649,500,800,282,800,282,502,912,503,500,502,503,672,282,500,501,503,649,649,500,500,503,501,16,800,649,16,800,649,800,500,649,503,816,649,649,501,468,503,502,475,501,649,885,208,282,502,503,502,925,501,503,500,503,500,800,503,502,281,282,500,401,503,649,282,501,503,304,500,800,649,781,500,502,500,503,501,500,800,308,16,502,800,500,800,278,500,502,500,16,166,649,16,500,502,649,649,705,335,282,273,501,649,504,503,282,800,713,502,139,503,739,282,282,500,800,500,503,800,800,118,498,800,16,282,502,501,500,500,800,500,447,831,649,500,649,503,107,282,500,800,142,649,503,649,649,503,500,503,838,282,502,501,500,649,501,649,798,500,501,860,503,503,589,503,501,503,500,215,500,800,503,800,503,16,503,49,282,649,800,500,501,983,800,500,649,875,649,491,503,501,800,501,502,282,649,800,800,107,800,503,800,500,800,778,811,500,506,800,501,649,649,500,501,500,649,103,500,501,649,180,502,958,503,501,649,501,649,503,649,648,502,500,800,905,503,500,501,649,800,27,503,649,500,217,800,503,500,502,500,501,282,500,874,502,141,501,501,901,503,649,282,649,502,282,500,502,843,649,282,501,40,500,503,558,500,500,800,649,16,800,502,649,500,502,649,500,716,503,40,502,503,649,649,800,500,503,500,282,500,502,502,502,501,367,800,649,503,503,500,986,503,501,503,183,649,477,501,800,503,501,502,649,503,952,958,649,649,16,500,502,501,800,503,649,503,500,503,649,800,649,800,282,725,311,504,501,501,800,649,503,503,502,502,634,340,77,502,500,282,609,502,500,800,170,649,268,282,501,501,502,649,282,501,502,649,800,800,649,502,500,501,502,521,504,573,800,705,500,502,501,503,502,649,800,500,500,800,800,649,690,501,800,649,501,259,16,501,837,649,602,500,16,501,503,500,800,500,649,800,16,800,800,502,500,800,800,800,649,502,500,502,500,282,503,500,501,489,800,500,502,500,500,282,236,503,502,282,107,501,503,500,800,649,500,502,501,434,501,502,282,800,282,649,649,502,503,501,649,501,504,103,503,503,800,705,503,503,649,473,503,501,800,501,501,502,800,503,49,800,738,502,800,501,501,502,800,16,501,503,16,282,282,503,500,232,500,502,800,800,501,502,634,503,500,79,501,500,501,501,282,503,500,500,800,501,500,500,235,501,681,282,503,649,503,800,503,503,800,990,727,502,649,649,800,502,800,501,579,502,362,502,282,500,282,503,16,282,502,173,47,259,503,649,530,501,500,649,502,503,649,501,800,502,901,500,502,800,504,502,713,504,649,282,502,649,502,503,502,500,503,502,889,172,800,503,502,649,649,503,503,989,282,503,800,282,800,282,800,800,282,147,500,16,500,500,500,16,503,502,800,500,800,500,500,504,501,649,502,649,649,503,649,800,504,849,649,16,282,282,208,649,504,221,503,649,502,558,800,501,800,649,503,502,500,503,16,500,501,503,649,800,915,500,649,503,500,502,282,800,500,80,800,503,273,282,502,362,649,98,363,500,502,649,800,500,649,282,800,500,800,500,503,989,282,800,328,500,501,282,500,503,649,501,500,649,217,503,775,800,282,16,649,649,16,16,507,770,500,649,527,424,800,282,500,649,501,800,503,282,800,502,501,282,503,500,501,503,800,504,504,282,282,649,501,503,502,649,800,502,939,800,501,503,503,503,16,503,503,501,16,500,53,838,501,649,16,800,649,418,502,282,649,500,503,800,800,649,501,501,188,501,649,282,618,501,604,503,500,282,670,503,503,502,501,502,649,649,984,500,502,800,16,503,649,649,649,649,16,282,501,502,649,500,500,502,281,826,501,800,503,47,282,500,649,649,500,500,649,649,503,503,502,800,800,282,282,501,339,376,501,500,503,800,503,282,800,800,215,800,503,800,501,800,649,884,649,649,501,501,503,502,282,503,502,103,502,649,500,502,800,800,282,800,500,503,501,503,854,123,282,282,501,390,649,649,148,649,503,478,649,503,501,418,503,649,801,502,800,502,501,649,503,649,312,868,649,649,500,501,237,502,800,501,501,502,604,649,16,282,282,500,503,238,501,649,649,800,107,282,800,500,807,502,800,800,500,502,502,762,502,503,800,501,390,501,502,502,500,800,649,503,524,501,501,500,649,502,800,800,504,503,16,502,502,800,649,501,502,282,565,649,800,800,649,500,501,500,501,501,501,501,500,649,800,501,649,560,501,502,502,827,500,800,500,503,779,649,502,649,800,500,501,502,500,282,16,234,502,978,649,16,97,502,503,800,501,649,595,500,800,649,800,503,750,649,107,501,800,649,502,16,500,501,501,649,649,282,501,282,502,16,501,800,800,502,500,282,649,503,502,500,501,503,859,503,282,16,503,16,800,520,16,16,550,800,501,502,503,282,503,800,503,649,800,800,504,500,800,649,501,501,501,503,800,800,649,649,296,800,282,649,407,500,587,649,502,16,501,500,800,500,501,107,503,500,502,501,502,706,500,503,16,503,800,501,501,16,500,502,649,73,162,502,501,265,649,501,423,807,502,278,649,500,347,800,502,353,502,282,501,501,800,609,16,649,502,502,555,649,501,502,502,800,500,800,282,500,454,502,649,649,502,800,282,502,503,504,504,500,501,282,501,800,501,502,824,503,500,500,103,282,800,965,501,500,502,389,649,649,282,502,503,16,282,502,103,501,649,501,456,303,500,501,16,800,16,984,500,500,466,682,842,649,504,383,501,500,503,618,519,501,649,282,503,649,500,502,504,800,501,503,502,594,502,16,503,502,649,649,800,503,254,67,771,441,501,501,999,649,503,292,503,800,526,501,16,502,649,995,503,500,501,502,800,800,649,282,502,503,501,503,503,502,617,504,500,503,503,503,649,500,282,800,941,592,500,503,503,500,800,627,800,705,500,649,503,502,500,502,649,691,501,16,705,500,800,503,800,800,500,108,501,503,649,503,649,502,800,649,16,500,500,501,800,504,800,653,81,105,800,800,282,503,502,282,800,502,800,16,800,649,501,107,282,501,503,500,649,649,800,502,503,282,649,503,502,649,281,500,500,503,282,19,503,500,649,501,282,502,502,503,500,657,107,649,649,502,503,500,649,500,282,282,501,800,500,460,310,503,501,282,282,800,544,502,501,730,800,503,202,282,501,500,649,503,649,500,500,649,508,503,502,368,800,503,499,800,502,503,649,107,649,502,501,235,503,879,502,503,502,500,282,501,501,502,800,502,500,800,800,503,503,503,504,503,502,979,649,502,501,107,501,503,503,649,282,103,800,392,503,504,500,800,649,501,282,503,107,25,908,503,800,100,649,500,455,649,800,503,501,503,649,842,503,502,502,502,500,96,234,500,649,649,501,501,649,502,800,501,501,500,649,282,800,649,501,800,502,649,501,893,503,649,502,500,501,503,649,501,282,502,500,500,800,503,800,501,502,502,502,502,800,282,389,298,500,502,502,649,649,649,501,502,440,503,501,503,500,503,502,501,101,502,649,477,502,450,502,282,800,502,649,501,649,649,500,649,649,800,161,800,649,501,501,502,502,800,500,502,500,800,800,10,503,502,501,282,503,501,501,649,705,16,502,800,39,503,502,503,662,501,800,503,502,265,503,800,649,771,800,500,504,649,503,282,649,200,282,800,503,501,304,103,503,800,782,197,503,501,501,500,800,881,800,500,846,502,502,800,504,125,282,500,501,282,501,282,500,649,800,503,503,103,649,501,800,502,649,800,503,800,502,502,500,527,500,649,974,501,503,282,501,160,282,501,800,833,502,503,501,649,503,501,705,500,501,800,169,501,503,649,503,352,482,299,500,502,800,501,500,800,502,282,502,282,589,502,503,800,107,502,282,504,500,501,800,649,503,761,502,282,649,649,397,16,282,500,503,800,649,503,501,947,649,503,649,500,800,500,800,502,649,213,502,500,500,282,501,503,500,502,502,501,503,649,500,282,800,500,502,642,503,500,649,501,800,16,502,800,500,15,16,501,501,649,624,501,649,800,562,501,501,503,501,800,502,502,502,800,800,800,500,382,502,500,528,504,800,503,282,503,649,502,502,500,502,649,501,800,503,502,649,550,501,800,649,649,503,503,800,503,16,800,504,503,660,589,189,649,503,800,503,282,282,943,502,800,282,501,500,501,500,649,501,800,102,503,2,649,974,502,501,502,502,500,16,649,800,800,491,649,504,16,469,282,503,649,502,502,253,649,781,500,502,664,500,800,649,975,501,501,504,800,501,649,500,503,649,503,282,800,502,501,282,800,514,800,282,501,755,107,500,282,502,504,501,705,800,282,503,609,181,649,649,800,503,800,501,800,649,501,503,500,649,103,649,282,500,502,502,800,501,502,501,282,470,500,282,503,500,501,503,649,500,504,649,649,502,107,649,501,649,82,649,503,502,649,502,601,501,500,503,530,503,502,800,502,500,500,649,501,649,500,503,503,800,503,800,501,501,502,800,500,649,500,501,503,501,800,502,501,649,502,800,501,800,282,502,500,500,501,716,649,235,800,501,192,800,503,459,502,725,474,502,503,800,800,502,16,282,991,500,800,503,282,649,800,649,541,503,293,721,502,800,649,106,800,503,258,402,604,502,457,649,502,503,800,800,500,800,501,500,282,500,800,503,500,282,503,503,282,500,800,502,501,500,649,500,649,500,501,500,501,500,800,800,800,504,503,502,503,500,649,503,502,502,800,500,282,282,502,800,649,502,501,225,503,649,502,649,501,502,649,16,282,503,501,649,282,500,500,500,502,800,500,103,649,800,501,649,502,282,503,501,16,500,649,800,800,502,800,502,502,500,502,363,649,560,503,503,594,500,649,503,282,437,503,502,800,639,503,501,501,800,501,501,501,502,500,800,503,502,500,500,500,502,649,282,502,458,16,502,282,649,500,649,282,503,503,740,503,500,282,501,800,282,800,504,649,735,800,502,800,282,500,501,282,502,584,502,503,503,501,800,282,649,501,800,16,800,501,500,503,503,649,501,503,500,16,503,504,500,502,800,103,830,649,500,203,73,503,501,800,500,800,800,800,501,620,503,724,800,503,501,653,282,502,649,503,107,501,500,502,286,800,503,502,303,800,502,186,800,107,800,282,148,800,611,502,778,501,502,501,503,503,500,500,502,800,503,649,282,649,500,903,502,649,935,502,16,502,500,800,502,800,282,16,501,649,503,282,502,502,780,800,500,649,16,800,622,649,800,503,504,501,500,16,16,282,503,503,649,503,282,649,649,800,800,905,502,500,451,800,708,920,282,800,16,649,502,500,502,649,500,800,502,649,649,503,501,500,501,282,500,103,500,501,297,213,16,502,501,800,16,800,503,791,282,282,502,800,92,502,649,282,500,800,503,845,503,503,649,295,282,64,600,504,800,800,503,500,16,503,501,503,282,501,800,800,787,282,649,282,875,500,503,501,800,649,774,502,502,621,503,910,500,502,503,65,800,503,800,649,502,501,649,800,432,502,502,503,501,282,800,800,649,501,502,502,501,503,503,800,800,855,800,142,501,502,500,649,282,502,16,502,500,282,209,501,502,16,800,502,800,502,800,501,706,649,503,649,282,501,501,800,649,500,800,800,503,500,470,500,502,649,502,502,503,649,500,800,503,500,502,800,649,282,502,503,503,873,501,501,504,642,504,16,500,282,16,745,500,649,344,500,501,502,79,503,800,107,501,649,500,800,749,800,500,800,800,282,501,649,500,501,282,282,501,502,500,750,16,500,503,800,502,529,501,502,307,800,649,649,500,649,501,649,299,501,502,501,459,500,501,501,502,500,14,501,649,500,501,500,103,800,502,800,503,503,501,502,356,282,649,649,503,800,500,563,459,502,361,282,16,800,800,800,298,800,501,503,649,503,126,501,503,501,800,800,503,649,503,800,103,443,649,264,500,503,501,282,501,16,722,282,800,800,500,500,800,649,502,500,800,16,282,16,501,316,501,59,501,800,502,606,503,16,503,502,800,282,347,500,501,500,800,649,501,282,501,800,503,502,107,649,800,800,649,800,282,16,800,500,24,282,282,500,501,905,351,800,503,500,16,500,502,800,649,800,282,500,503,503,573,502,500,500,649,800,16,649,502,103,800,282,502,502,107,503,282,649,426,649,500,649,500,800,538,800,649,501,800,649,503,649,501,25,649,800,282,800,800,503,800,502,502,649,503,390,16,649,500,705,500,649,800,500,500,800,16,275,649,390,800,500,893,649,649,649,500,800,500,88,450,800,500,649,502,642,763,321,502,503,800,107,649,501,328,103,501,800,501,502,501,502,504,16,500,800,500,16,503,504,16,500,103,800,282,800,649,502,854,716,649,502,800,649,503,502,502,504,503,500,282,502,500,503,529,500,649,501,503,502,649,502,503,500,500,649,800,501,807,501,503,501,800,500,800,649,503,503,501,649,649,649,500,649,503,503,502,800,502,502,502,16,501,537,531,193,502,800,501,800,500,504,893,587,649,501,357,649,282,649,503,649,282,282,500,500,649,501,649,500,502,502,800,502,501,282,501,501,500,649,502,727,501,282,649,518,500,137,107,501,16,501,649,500,282,500,649,649,504,807,800,500,500,500,500,649,503,502,501,649,503,504,500,649,500,502,501,500,500,649,282,800,800,649,501,22,500,282,499,650,800,800,282,500,649,649,800,504,190,282,501,649,501,649,542,501,502,16,476,501,649,800,503,500,649,649,749,282,503,319,16,502,502,97,210,800,649,649,800,649,500,501,502,501,502,503,816,800,500,800,800,837,282,649,504,500,649,557,503,282,503,503,16,800,504,500,107,800,503,800,649,503,501,649,358,6,500,501,503,501,649,649,502,800,649,197,503,503,500,500,649,501,649,502,800,503,414,504,800,282,502,503,649,501,502,501,501,507,503,637,503,282,800,649,500,962,649,503,649,16,282,502,800,282,332,501,433,800,502,504,103,107,800,502,501,500,649,501,503,463,500,259,800,649,501,282,504,282,500,500,502,2,880,688,502,800,649,800,503,800,705,500,502,500,502,649,850,603,501,500,502,649,503,502,502,502,501,649,503,649,649,503,282,503,107,502,800,500,500,800,501,502,503,800,649,500,503,649,800,502,800,282,800,282,501,649,500,649,503,282,500,502,800,649,500,501,503,807,282,500,503,501,892,669,611,542,282,501,16,503,649,500,649,500,107,765,503,501,502,800,501,503,500,800,501,502,500,16,649,501,868,325,55,649,800,500,504,504,501,16,282,500,282,649,501,503,800,707,501,503,501,211,232,502,687,800,800,800,503,16,800,503,503,649,649,503,503,282,501,282,282,800,649,500,501,800,502,800,500,650,506,649,500,16,766,5,312,649,502,692,502,501,501,970,501,800,502,114,501,649,649,649,502,800,800,103,502,800,501,16,649,800,503,800,502,649,503,649,502,16,222,282,16,16,500,649,500,504,800,649,502,649,503,282,282,800,500,501,500,501,16,502,503,494,649,800,339,501,16,504,501,500,503,502,500,502,393,500,107,800,406,649,501,503,800,500,784,800,502,109,503,504,503,503,649,500,16,800,502,800,800,962,282,501,800,502,500,649,500,500,800,517,503,755,501,800,800,503,502,228,503,103,501,502,649,282,502,103,800,502,800,502,500,503,502,800,107,500,500,143,501,649,800,282,503,500,16,501,282,282,502,649,649,500,282,282,282,649,800,649,503,103,649,500,107,649,25,502,501,501,501,502,922,501,504,501,282,282,800,500,503,800,500,503,649,501,503,282,649,649,503,703,500,597,282,503,501,503,500,500,16,504,503,103,133,501,731,501,649,649,353,912,103,16,982,503,501,502,502,283,502,527,500,504,500,503,503,800,867,649,503,649,16,649,503,503,391,503,649,282,500,502,503,502,541,501,472,500,282,501,503,500,800,800,21,503,501,780,282,500,649,500,800,222,503,282,649,282,800,501,501,501,503,501,503,649,501,503,502,387,800,503,500,500,502,800,501,503,155,500,500,501,500,503,282,800,502,502,503,504,800,451,500,649,800,502,503,16,800,16,649,649,282,800,282,504,800,16,502,502,800,87,500,500,649,649,500,501,16,800,649,282,195,501,503,649,503,282,629,282,501,500,500,16,800,236,502,800,502,16,500,502,503,743,500,649,545,501,500,500,502,353,800,501,502,649,501,705,282,649,715,649,502,800,504,282,532,620,500,500,503,103,649,282,794,503,501,16,800,800,800,504,649,503,501,282,649,178,503,107,16,378,501,502,503,200,649,500,782,800,504,502,649,800,649,501,800,502,649,500,112,329,501,649,501,282,649,649,310,649,501,503,500,503,503,282,800,501,503,800,282,500,800,823,884,500,503,649,649,100,502,800,502,501,501,649,282,502,502,527,502,500,107,503,282,649,502,800,502,502,503,800,502,282,501,649,503,503,536,649,503,598,503,649,282,543,500,500,500,649,502,800,503,501,800,502,502,502,282,503,502,500,80,282,502,500,503,649,282,503,500,649,500,503,502,500,501,649,800,16,649,800,503,503,500,502,501,500,501,503,501,500,800,908,649,16,932,649,282,48,282,500,649,981,503,500,16,551,6,881,800,503,278,649,649,500,800,649,800,500,500,673,500,800,502,503,502,800,503,503,282,500,717,501,502,503,649,501,800,500,503,502,501,258,502,248,500,649,501,500,649,501,502,800,800,500,649,800,500,503,500,649,500,503,649,649,671,649,504,649,649,501,649,501,503,500,502,649,800,501,722,500,258,282,500,282,529,89,651,501,649,501,994,649,503,837,837,503,178,502,503,501,649,800,500,103,800,800,800,649,503,501,500,501,74,179,502,500,503,649,501,649,800,501,327,282,502,501,282,502,800,398,800,649,501,503,503,501,501,649,501,282,502,500,500,282,503,16,503,649,502,873,282,282,503,503,500,630,282,503,501,502,501,500,800,746,441,649,501,800,282,501,927,500,503,649,501,107,501,502,800,16,800,501,503,500,212,34,503,800,649,501,800,501,503,503,503,501,909,503,282,501,871,649,500,649,501,503,501,501,16,950,501,607,501,500,282,800,649,800,649,503,501,500,501,282,649,48,800,282,502,502,502,800,229,800,649,503,282,64,503,502,649,500,136,649,501,501,500,16,501,282,501,107,800,504,500,649,16,502,649,502,500,7,502,649,649,800,502,503,503,225,800,800,800,668,500,502,477,503,503,649,758,500,501,501,502,502,503,500,502,501,501,503,198,800,800,503,500,503,503,172,800,282,501,460,500,649,649,282,967,503,503,282,500,503,649,502,125,502,800,502,800,649,489,501,800,282,649,282,282,502,800,282,199,649,500,502,503,500,282,502,649,502,649,503,503,500,503,500,504,502,282,347,800,800,502,503,502,502,500,649,800,502,503,501,503,859,77,754,282,189,503,500,502,557,502,501,502,502,61,504,800,800,504,800,282,502,800,500,800,282,734,503,79,502,385,282,754,501,502,502,304,937,501,248,504,502,252,501,500,500,964,870,649,502,13,800,500,649,501,232,503,500,675,800,282,500,500,503,649,800,649,502,800,501,282,503,800,723,107,649,649,501,502,502,501,800,94,797,501,812,282,837,502,282,282,649,501,501,501,649,800,649,649,501,649,502,500,503,800,501,502,800,238,501,158,501,501,501,649,501,16,649,502,800,503,501,500,649,800,800,349,282,224,501,500,503,500,501,705,500,500,501,921,649,501,800,710,800,16,800,649,502,649,107,502,649,103,800,503,501,501,502,500,649,501,503,16,500,503,649,800,800,502,503,994,649,107,502,501,165,503,649,649,502,282,501,800,800,800,907,649,502,649,649,13,800,103,800,503,501,282,282,503,503,500,800,502,500,649,691,502,500,16,649,282,502,502,501,500,282,649,503,839,282,649,503,649,503,502,500,502,503,504,282,16,807,502,649,501,308,282,649,800,649,500,649,282,500,800,501,502,501,502,503,825,502,653,39,500,500,503,800,539,649,800,649,649,500,525,286,501,502,909,649,649,800,282,800,502,649,504,503,503,470,649,843,649,444,502,800,501,503,800,500,649,282,501,649,800,282,16,502,501,502,501,502,649,800,282,503,500,800,649,649,649,500,800,800,282,282,173,172,503,501,845,503,503,227,500,500,501,818,503,500,282,698,282,282,649,649,501,502,1,500,502,502,503,20,504,501,800,503,500,501,502,107,503,502,502,500,107,500,649,649,125,501,501,649,500,800,503,502,500,398,649,649,107,800,501,502,800,503,500,500,500,649,502,502,501,502,502,501,800,500,501,501,503,501,500,800,190,16,649,502,800,800,502,503,303,501,800,503,650,800,439,503,16,503,649,501,502,501,501,282,500,649,16,282,16,996,282,649,649,735,504,649,501,502,800,503,800,800,501,800,501,800,800,800,503,500,501,282,649,503,649,16,501,500,503,500,282,500,502,502,166,339,500,500,282,282,502,282,502,501,501,800,501,518,282,649,282,503,503,485,282,800,501,500,282,738,16,282,649,501,503,501,503,79,649,649,502,501,800,501,503,817,500,503,501,501,500,501,502,501,502,649,502,649,82,282,501,500,501,649,500,649,649,502,649,143,649,649,502,502,282,282,282,501,986,504,282,649,816,502,500,502,786,649,502,649,503,282,501,809,99,282,502,800,503,799,800,43,503,100,502,500,16,500,502,502,649,501,800,649,16,51,501,282,800,800,649,504,502,503,504,503,970,503,501,500,800,501,502,800,282,649,649,649,800,501,502,800,612,500,500,649,649,501,503,649,503,800,500,502,502,649,282,282,500,107,501,503,800,502,245,502,502,503,503,501,501,649,475,502,501,282,501,649,649,501,501,502,502,489,500,642,500,807,649,500,683,503,16,107,72,649,500,287,503,500,503,649,501,904,649,500,422,322,502,649,503,502,503,65,503,502,500,500,201,305,500,649,502,649,282,107,58,282,503,800,649,502,800,957,502,282,3,800,753,500,502,800,282,649,649,653,503,503,800,954,503,649,503,946,10,502,717,574,503,800,500,501,649,99,800,174,282,502,503,249,502,501,501,503,501,800,592,502,649,501,800,500,107,923,282,500,503,501,500,649,500,502,501,649,649,800,501,503,649,800,107,514,136,502,504,282,501,500,800,278,502,800,800,500,16,649,502,502,635,501,282,282,170,242,502,649,800,714,503,282,502,502,282,107,503,503,649,501,249,501,501,502,500,103,213,503,800,502,488,500,501,800,356,503,503,502,501,500,503,503,503,501,649,800,501,502,502,501,335,500,500,501,800,649,502,500,500,503,869,501,282,800,501,502,500,504,282,512,836,500,649,282,502,282,500,501,500,503,500,885,501,16,500,500,501,273,800,501,500,282,316,502,800,177,87,282,800,800,503,501,501,503,304,649,649,502,501,800,501,503,500,800,800,705,800,649,501,282,800,800,501,800,546,501,103,16,649,649,919,800,502,800,107,501,544,502,679,16,649,501,649,500,502,649,500,222,801,500,503,500,800,447,649,649,503,500,501,649,649,585,501,503,500,503,403,800,500,421,538,962,282,501,502,500,800,800,500,649,500,503,503,800,649,873,282,664,649,649,500,502,500,107,500,502,282,503,501,649,800,402,502,16,501,800,649,621,503,500,649,198,501,800,282,103,501,644,502,501,800,501,649,649,504,800,500,282,649,800,500,16,800,233,282,503,417,800,649,500,501,503,502,282,800,649,77,800,83,649,503,502,502,500,503,649,649,16,800,800,277,501,800,800,501,800,800,503,282,500,501,501,649,500,504,503,501,500,501,282,362,282,502,727,649,502,103,800,800,649,502,603,282,503,800,800,649,649,502,500,502,501,504,282,16,800,800,504,502,649,503,800,500,503,503,500,857,800,609,800,649,502,800,502,502,800,501,649,970,649,649,501,500,649,500,800,503,16,282,502,800,16,649,40,800,501,503,501,500,649,501,282,503,282,501,501,503,649,800,800,282,500,502,649,282,501,500,800,503,501,282,500,502,790,502,649,500,800,800,502,503,16,16,612,501,490,282,500,800,503,504,800,502,649,649,649,500,503,282,503,800,800,16,504,800,800,38,677,501,649,282,282,800,649,649,282,800,282,501,500,503,501,502,500,503,502,649,649,649,503,501,800,649,501,500,800,800,807,649,502,589,501,649,305,503,500,800,895,501,501,800,649,728,282,649,701,282,501,500,503,855,87,649,649,282,649,347,501,501,500,16,800,503,445,500,502,500,800,649,501,800,800,503,649,619,649,649,649,916,503,502,502,16,503,282,282,502,509,502,699,502,649,502,280,649,282,502,903,502,500,800,282,649,667,581,527,503,800,501,649,503,501,126,649,800,500,502,649,502,649,502,503,426,903,501,503,433,501,649,502,282,449,282,504,16,282,282,503,824,649,649,503,800,500,500,282,649,649,500,503,484,501,107,509,502,649,501,282,649,282,113,282,502,501,502,501,502,649,800,286,62,500,503,500,753,649,504,500,656,503,503,282,16,502,103,16,501,501,649,931,502,501,503,800,282,800,502,551,800,503,503,800,800,502,501,107,501,649,500,500,800,649,705,501,800,608,800,800,504,601,800,800,282,800,800,504,503,501,500,282,503,282,500,156,500,800,717,919,502,502,500,282,649,504,502,502,800,503,501,500,800,800,501,800,503,16,501,503,800,645,800,502,800,501,107,649,521,371,503,282,500,556,503,500,502,503,800,502,503,649,504,502,502,501,282,649,282,500,501,328,504,35,502,503,503,503,503,606,984,282,16,436,500,503,836,502,502,800,501,800,500,661,567,503,503,649,500,16,566,503,282,800,502,29,124,891,282,649,800,476,502,500,501,800,282,800,503,500,649,502,649,649,282,502,107,484,502,601,626,503,502,501,503,800,502,501,800,500,502,742,500,649,649,500,107,800,764,500,649,502,800,500,282,932,16,500,649,16,107,800,501,649,282,502,500,501,501,503,649,501,800,882,282,649,800,500,548,502,503,649,380,501,500,500,649,800,504,502,502,649,649,502,800,282,649,502,503,800,800,503,501,649,107,500,282,282,800,500,800,807,649,800,649,503,501,500,649,103,800,503,503,503,649,649,224,514,649,500,285,500,503,503,502,503,649,503,502,501,16,501,502,501,500,502,503,501,649,659,649,500,504,500,502,503,649,649,501,649,16,501,9,16,800,107,282,501,764,500,502,152,800,883,500,500,87,931,282,282,282,500,649,282,800,931,503,501,503,500,649,800,503,503,502,649,800,501,501,502,282,536,502,649,282,16,502,503,500,502,649,503,649,649,282,502,503,649,500,501,16,870,800,559,503,504,824,503,540,800,827,503,500,854,500,502,649,503,502,501,504,732,16,282,501,501,501,500,649,500,500,500,766,504,800,649,225,649,500,500,649,502,500,501,500,725,500,36,502,503,546,649,503,135,502,503,500,501,502,282,502,501,282,502,501,800,800,16,69,800,649,500,282,502,649,500,500,501,501,501,500,500,649,502,502,501,503,649,503,800,484,501,649,800,649,503,282,500,649,500,675,503,502,800,906,500,800,502,800,933,800,501,502,500,503,503,800,502,994,500,649,502,502,502,503,649,140,502,591,955,16,503,503,502,502,988,502,501,303,502,502,503,800,502,500,501,500,500,800,502,503,503,502,800,800,16,500,503,800,500,800,503,503,659,800,502,502,684,501,503,500,501,502,649,500,582,800,800,282,501,756,500,802,500,500,500,800,800,503,800,800,500,649,500,649,502,26,500,649,800,833,385,503,632,800,800,662,500,500,501,503,16,501,282,16,503,649,649,800,649,649,500,282,800,500,16,503,500,500,254,500,501,500,649,282,782,503,501,649,501,502,782,501,501,383,904,500,800,327,500,500,503,503,59,501,9,673,282,800,649,500,800,501,502,501,800,503,501,282,282,649,502,502,501,500,800,649,224,503,837,800,501,500,500,503,502,800,77,649,501,503,649,800,501,800,503,500,501,502,800,685,500,502,282,649,649,276,16,800,504,649,501,503,501,500,501,282,705,800,800,501,502,504,500,502,502,626,503,800,800,502,501,649,502,500,501,503,800,504,16,282,16,500,504,503,501,800,500,501,162,503,282,583,503,800,501,800,501,376,501,502,500,500,283,503,503,500,503,500,649,503,502,800,800,412,500,503,503,502,500,503,583,501,984,502,501,503,502,288,282,502,503,9,649,649,649,502,502,502,649,501,282,649,649,282,649,504,800,649,464,282,503,800,502,19,649,500,800,501,800,500,649,649,282,649,503,501,282,800,500,800,503,503,800,503,500,503,501,201,502,501,800,501,504,506,282,502,649,502,504,344,282,649,160,282,86,504,502,800,1,225,503,282,500,395,61,500,800,504,502,282,16,503,649,649,503,800,503,503,504,502,503,502,377,649,504,649,500,800,503,500,103,503,501,503,251,502,501,501,500,800,500,502,501,502,649,649,16,501,598,501,649,800,500,495,800,649,800,500,500,12,503,800,503,503,649,604,503,863,800,107,103,861,374,500,503,503,501,500,504,791,649,500,438,500,282,649,282,502,501,800,500,501,811,503,800,800,450,500,282,501,800,503,503,503,501,649,501,282,800,800,800,503,503,501,501,501,800,649,503,500,502,504,132,103,500,500,501,649,800,800,649,16,500,503,649,800,501,501,500,503,501,649,501,649,689,500,282,282,500,800,318,501,649,500,649,108,502,800,502,501,502,800,649,502,649,500,502,503,753,282,800,541,16,133,502,649,834,503,262,504,502,500,649,500,502,649,649,503,504,504,649,474,16,282,649,500,500,800,500,948,501,502,500,649,501,800,800,504,501,502,500,503,500,649,800,503,800,504,500,502,800,649,500,800,500,800,800,501,503,16,500,501,800,649,429,362,468,86,501,500,502,502,502,649,963,800,800,282,649,503,819,502,265,282,649,346,502,282,268,501,800,705,649,282,282,500,502,16,77,800,800,503,649,282,649,649,257,649,649,649,500,501,16,282,503,500,504,501,500,800,649,502,500,502,501,800,500,800,502,501,502,800,107,282,687,282,282,500,503,309,649,500,649,800,500,504,282,282,501,502,282,537,502,649,800,500,800,649,649,800,500,501,500,500,800,503,800,503,502,718,282,890,424,282,503,649,845,16,649,501,800,503,503,503,649,758,501,800,649,800,500,502,16,800,502,500,503,282,501,16,501,502,503,16,502,500,282,501,649,501,16,500,16,502,503,503,649,388,503,501,501,500,649,282,282,933,503,649,501,503,800,800,502,649,497,502,848,502,502,282,773,500,800,16,649,800,500,500,501,500,502,272,500,777,649,728,616,800,282,503,282,503,649,500,16,649,800,800,502,504,501,513,649,800,501,502,644,649,282,500,502,503,500,85,649,242,800,800,502,500,501,501,800,30,730,503,500,500,502,500,500,649,693,800,800,500,282,584,282,800,649,284,116,500,502,502,500,501,282,800,282,800,800,502,500,500,282,501,501,16,649,500,500,502,649,500,500,500,649,610,501,800,800,502,502,500,649,501,500,502,501,649,282,800,501,503,282,800,503,649,896,502,649,503,800,620,504,800,502,502,928,501,645,649,502,500,501,800,282,502,503,502,800,800,500,502,503,501,500,800,800,974,235,502,282,16,501,501,500,282,503,611,503,305,500,282,500,267,649,500,282,500,649,649,500,315,16,501,649,500,500,161,649,16,501,504,279,502,501,994,800,502,796,501,502,649,282,282,282,503,686,502,503,501,501,800,502,649,800,501,504,800,384,503,649,502,449,501,441,500,500,282,501,503,338,502,504,800,503,501,649,800,502,503,501,503,930,501,282,649,501,503,501,503,882,800,502,16,800,18,282,500,101,583,500,800,487,649,504,788,501,502,282,501,165,996,903,16,225,317,500,503,500,800,343,800,918,501,800,800,16,502,230,175,501,502,423,502,185,500,282,282,282,800,504,500,800,649,16,503,800,502,502,502,500,669,800,800,501,500,502,649,500,649,501,842,500,503,237,649,800,500,500,800,168,503,16,500,500,503,282,649,800,500,502,503,503,282,502,75,500,501,503,800,649,649,502,500,800,501,649,800,709,649,694,501,501,501,577,502,282,649,503,501,282,282,503,501,800,501,800,500,500,649,800,705,800,504,883,800,800,737,800,800,502,800,518,503,649,649,500,501,502,503,649,501,569,503,16,649,206,503,501,800,612,503,649,500,502,500,504,500,649,501,16,502,500,502,500,800,800,649,502,282,16,649,882,500,107,502,800,800,501,649,500,500,501,503,503,800,500,502,503,503,649,503,106,649,800,800,282,649,236,282,649,502,649,501,282,649,944,503,502,649,503,503,282,503,501,649,500,800,500,561,502,500,777,649,503,16,502,759,383,800,800,649,649,649,501,500,831,998,503,501,503,503,800,800,503,800,800,501,649,919,649,800,649,501,16,356,502,133,501,500,501,839,500,502,502,306,500,500,502,501,504,800,282,800,282,443,500,500,500,918,184,504,501,502,800,500,501,501,500,503,503,500,16,502,500,327,500,500,502,800,502,16,649,502,502,649,500,504,649,500,501,649,503,500,649,501,501,504,282,500,502,800,503,502,800,432,649,800,649,649,857,221,501,502,800,723,503,649,500,649,490,649,500,800,800,501,649,502,503,649,502,502,649,502,502,504,500,800,503,500,502,103,502,16,501,500,503,800,282,503,503,503,500,800,800,282,502,649,800,800,502,800,502,649,500,800,800,501,624,500,503,282,116,961,502,795,501,503,649,974,501,500,503,500,800,800,800,252,500,500,503,502,800,501,503,649,503,503,282,16,808,107,503,502,800,504,503,500,503,502,502,649,107,503,503,800,501,800,500,282,649,649,36,649,502,107,103,84,800,800,873,800,800,649,800,282,71,685,502,649,503,500,649,649,282,503,667,16,504,282,502,500,649,543,500,500,503,167,502,500,649,325,503,503,502,649,502,503,193,649,502,502,800,501,500,501,800,855,354,800,649,105,503,503,500,423,502,501,800,504,501,649,500,282,503,800,649,649,649,500,502,282,746,503,500,502,282,501,282,500,500,925,649,407,502,649,649,800,502,501,468,501,500,16,503,500,800,228,503,502,504,502,800,649,16,501,649,649,502,584,503,503,503,500,800,282,649,504,501,649,503,282,502,503,178,502,500,501,649,565,501,502,800,501,832,649,770,800,649,502,800,800,722,501,503,501,501,910,282,501,282,502,16,800,572,649,670,501,649,634,2,800,504,183,828,371,500,501,500,502,504,800,16,504,500,500,282,800,501,282,800,800,503,502,16,502,649,502,282,286,649,103,501,649,800,649,649,502,649,502,649,500,503,502,800,501,282,501,503,501,500,502,282,504,800,823,435,501,800,502,500,501,649,500,649,800,503,501,503,282,500,500,503,16,16,501,503,649,282,500,800,501,649,649,503,800,282,282,501,798,282,503,503,501,800,502,503,500,705,500,604,800,649,282,500,501,668,500,501,402,500,502,800,282,501,501,417,500,282,800,649,502,282,282,502,500,502,402,500,502,800,500,649,500,16,503,16,800,282,501,503,502,534,503,501,661,649,649,800,649,502,502,500,542,282,649,502,500,649,127,500,500,502,800,500,800,800,501,501,800,501,502,282,503,300,500,800,282,501,630,501,504,501,501,500,504,649,501,16,503,938,649,90,501,649,501,649,16,500,282,503,260,502,908,283,500,501,504,649,502,800,649,800,503,502,503,501,503,282,502,434,649,282,621,500,501,800,501,800,282,500,501,501,503,39,504,282,500,800,752,502,427,502,800,541,649,501,503,16,649,142,800,622,800,800,649,501,735,649,503,503,649,500,800,940,503,501,800,503,500,647,800,503,16,502,16,959,501,501,500,800,800,500,649,500,502,648,649,649,540,500,649,501,502,503,502,649,800,800,649,503,500,501,649,486,500,649,500,501,800,649,502,501,619,103,16,649,500,800,649,503,502,501,107,107,504,500,503,501,501,800,16,282,649,800,503,502,500,500,500,502,502,16,800,502,503,649,501,503,649,436,500,502,500,501,503,800,282,502,502,502,502,503,556,103,500,745,503,503,649,502,132,500,503,282,857,504,649,800,152,800,503,500,503,16,570,503,357,802,500,503,501,504,502,503,800,237,502,500,503,502,649,501,107,503,501,501,501,649,503,649,502,934,502,800,500,501,501,503,649,501,503,502,500,502,107,649,800,649,649,800,282,502,503,103,801,153,502,503,800,16,501,800,501,501,282,501,591,504,503,649,501,649,503,649,501,501,282,16,500,282,503,503,649,282,501,503,649,16,800,282,689,348,503,502,16,503,498,649,698,501,502,282,618,282,500,503,500,502,991,503,800,500,500,800,500,501,282,502,282,503,502,282,503,502,500,503,503,282,649,503,500,502,282,501,503,48,503,502,800,649,282,800,501,282,649,500,782,500,502,649,500,282,800,649,501,649,649,502,649,649,800,500,502,800,543,649,30,649,580,500,500,502,502,502,808,649,800,503,501,649,649,103,503,649,503,503,501,502,649,766,503,500,912,502,640,800,503,282,503,800,649,502,16,501,800,503,502,282,800,800,649,502,500,239,649,501,503,503,504,503,500,501,199,501,502,800,649,16,503,503,649,649,16,800,282,103,501,649,649,800,503,501,649,649,649,502,16,649,502,503,282,502,501,502,282,800,500,649,101,501,800,800,502,800,501,222,503,503,504,16,503,503,649,503,503,383,800,500,107,881,800,945,571,502,800,649,504,502,503,397,502,328,800,500,502,800,800,503,570,502,503,501,649,502,503,103,501,649,502,500,649,500,502,501,500,282,649,649,501,503,649,919,800,502,282,649,149,653,649,500,502,103,888,649,1,800,503,282,503,743,649,800,502,500,282,325,500,800,502,649,565,503,800,504,800,503,500,649,148,501,502,500,502,500,907,502,800,649,501,82,800,501,800,798,500,282,501,282,649,800,800,649,464,501,502,800,800,891,800,16,67,500,800,503,503,649,394,502,501,500,502,501,504,502,501,500,282,800,500,366,649,649,502,502,103,502,67,503,265,503,800,107,500,961,501,501,811,80,455,649,501,503,270,311,581,649,502,270,502,649,649,649,800,107,501,502,504,800,501,649,500,84,649,501,800,503,502,503,800,649,502,649,500,503,501,282,501,800,503,503,718,500,503,502,821,503,502,794,769,649,964,502,800,282,501,948,500,95,500,800,503,282,282,800,503,16,282,502,502,649,502,649,503,517,502,502,282,649,649,16,113,502,800,501,810,502,504,282,649,282,500,282,933,649,501,800,800,800,503,16,752,185,791,800,800,965,961,500,501,800,502,800,503,502,765,800,800,815,503,205,503,16,503,501,501,649,500,585,500,649,502,502,503,501,502,501,503,502,503,502,16,649,69,649,500,502,500,649,649,282,503,649,501,282,500,503,282,502,649,619,800,502,282,649,649,500,282,503,502,282,800,501,501,503,895,500,503,800,503,503,649,282,800,649,500,502,135,690,649,649,500,693,800,649,282,800,649,501,501,502,800,504,503,649,672,503,503,500,502,501,289,800,849,649,502,501,503,649,800,500,649,631,500,282,800,974,502,502,800,649,502,503,503,503,501,996,649,503,502,501,800,502,502,230,502,897,501,503,636,649,500,503,503,501,16,282,501,502,500,649,503,502,501,800,502,649,502,503,649,800,500,649,504,501,800,649,501,501,405,649,842,503,800,282,979,16,800,247,501,502,282,502,502,282,503,649,500,503,649,503,502,500,503,500,500,504,752,649,649,503,500,649,649,282,800,500,503,649,503,503,500,800,501,501,448,501,503,500,502,500,503,649,16,282,345,649,16,649,503,502,800,504,502,503,501,773,16,502,503,148,500,500,503,800,800,282,39,503,282,503,800,908,800,800,800,503,501,503,800,502,282,502,501,800,800,501,800,649,500,117,282,800,503,502,107,502,502,502,501,501,865,502,502,418,800,494,800,501,520,20,941,503,501,501,800,502,500,16,502,800,501,649,14,503,797,503,800,502,502,800,649,649,741,16,579,503,107,503,649,504,501,16,16,649,649,500,696,500,500,800,503,500,800,500,649,800,501,649,504,502,502,800,800,501,502,16,800,649,501,418,501,173,473,79,503,501,502,502,776,501,500,16,338,282,500,282,649,500,16,503,800,501,705,70,16,142,649,501,500,392,807,819,800,649,500,649,501,503,800,649,800,34,503,500,282,500,502,501,500,282,800,282,504,649,282,282,21,800,503,500,503,649,501,500,800,502,500,500,649,730,501,502,500,501,282,16,649,800,501,501,649,649,741,745,649,503,501,501,230,800,502,16,282,502,500,649,800,500,649,604,800,503,502,502,282,800,800,503,501,16,282,800,502,502,500,649,70,649,649,143,16,649,282,500,649,649,504,500,500,503,16,194,503,500,502,500,502,649,501,504,649,504,107,501,800,502,564,965,503,500,800,194,282,501,502,282,503,503,502,500,503,800,500,800,486,893,503,282,282,501,501,800,447,800,502,8,649,502,503,500,500,501,503,150,503,800,501,503,800,503,500,502,500,16,16,500,800,649,649,610,502,16,568,501,500,500,504,500,649,503,504,500,125,107,504,501,649,268,649,502,975,501,502,500,502,649,800,501,500,820,503,502,502,649,16,649,502,503,649,502,502,502,502,501,502,501,501,501,503,16,800,504,425,680,501,649,502,800,59,501,800,503,800,192,503,502,500,503,282,501,649,649,503,502,502,501,649,524,649,502,649,649,501,373,502,800,800,649,501,103,504,649,905,194,500,107,282,649,627,502,502,800,501,502,501,282,800,800,559,649,703,502,501,787,503,52,502,800,502,502,500,191,649,649,649,800,800,282,524,502,282,282,503,504,502,502,503,501,502,649,500,504,501,16,282,649,502,16,16,503,649,453,502,800,800,652,503,503,501,501,500,501,282,800,800,503,503,503,502,425,500,282,800,503,501,800,501,501,503,16,282,501,478,649,501,502,800,503,361,503,649,501,649,800,107,501,502,501,502,503,501,502,501,192,807,282,502,503,16,649,500,51,821,443,502,500,501,649,503,503,504,503,282,501,282,502,490,502,503,501,502,800,649,503,501,503,502,282,501,502,501,800,501,503,192,649,503,503,500,271,16,977,500,282,500,503,500,800,800,587,282,500,649,502,800,503,503,503,729,502,503,800,649,500,500,282,503,503,501,649,500,617,707,368,503,502,800,649,306,261,504,502,503,649,744,282,16,501,800,500,500,502,436,282,503,649,649,500,473,649,800,800,502,282,503,501,500,503,16,800,503,282,800,502,500,649,500,502,291,839,800,46,982,800,500,500,674,362,103,161,502,501,209,502,501,501,529,502,649,500,501,503,501,503,649,282,649,649,503,282,649,282,800,800,800,502,500,800,800,103,500,500,282,500,500,800,282,649,501,501,800,835,800,503,500,282,738,282,293,16,494,800,501,649,502,649,500,504,503,800,500,501,503,282,500,800,501,649,282,800,282,16,282,649,500,503,501,878,968,502,800,282,800,800,949,49,800,504,411,502,649,504,503,649,502,800,103,819,500,312,800,501,502,503,502,503,501,503,649,800,800,282,800,282,504,502,282,502,282,501,502,800,798,503,503,502,800,282,649,527,107,502,649,502,538,500,649,500,501,649,504,501,503,500,500,502,501,597,500,282,800,800,503,502,649,500,649,501,501,800,501,800,800,502,503,500,800,501,100,502,500,500,503,502,500,500,282,572,649,800,800,16,503,800,502,649,501,800,500,800,500,800,755,282,503,16,407,501,800,502,649,503,649,800,500,501,501,649,500,800,649,500,800,500,16,805,502,501,503,500,703,503,503,107,501,771,502,567,16,500,800,410,502,800,282,503,500,503,282,210,503,504,503,501,649,502,501,502,503,500,255,500,800,503,800,501,649,501,705,282,503,503,649,501,504,501,503,502,501,800,501,800,500,649,282,649,504,649,649,16,628,649,503,649,649,502,800,688,503,500,800,649,649,866,525,649,16,504,502,503,800,503,501,500,649,75,103,325,800,501,977,502,649,649,800,649,502,501,649,501,649,649,501,649,503,800,502,649,503,649,649,45,800,503,282,800,788,500,504,501,800,501,500,500,800,282,649,502,501,501,16,649,472,502,649,502,502,282,649,514,500,139,649,500,501,500,649,282,578,800,503,649,282,502,282,514,214,649,502,503,649,503,800,501,502,649,501,800,502,282,649,503,107,502,500,502,500,795,501,503,800,500,649,800,358,800,649,501,467,500,503,503,277,503,503,502,501,983,500,649,756,500,649,282,282,502,107,503,649,800,649,501,500,282,503,502,225,502,542,649,503,503,649,574,800,502,503,605,282,502,446,959,800,503,649,502,503,800,649,800,501,800,282,16,503,16,502,800,501,800,800,800,500,503,282,800,103,649,800,282,503,800,502,282,503,503,800,282,282,502,501,503,800,649,649,649,649,500,502,129,282,501,451,502,320,503,501,649,503,500,501,800,649,504,501,103,282,501,800,282,327,503,800,504,608,502,800,500,649,800,501,503,500,16,131,502,501,800,503,649,649,503,502,500,282,649,649,502,501,649,16,500,500,324,800,649,282,501,502,926,711,107,89,800,936,800,282,502,771,433,649,800,800,800,503,502,503,500,503,649,16,501,502,282,502,800,503,31,16,504,501,500,282,501,500,503,503,392,282,502,502,800,500,500,501,101,500,649,503,502,203,502,8,431,800,500,649,117,503,500,16,649,500,282,649,649,282,502,503,16,503,649,503,503,282,800,16,282,500,501,502,764,502,503,31,500,800,490,502,502,502,502,649,500,502,502,16,501,295,503,282,282,800,800,503,299,800,502,800,502,800,107,503,502,503,800,502,501,103,500,501,649,503,800,502,282,503,649,500,858,649,16,504,800,649,502,282,800,502,649,504,503,503,503,800,504,504,474,502,800,551,501,649,649,501,500,502,178,501,649,800,502,502,800,16,128,649,500,800,502,16,502,299,503,503,649,16,680,503,500,503,649,354,502,800,800,717,649,500,502,649,16,341,282,800,501,501,500,500,501,500,15,502,502,800,647,501,501,800,502,649,500,503,500,500,604,150,800,500,800,500,440,503,649,500,500,649,649,501,502,503,502,500,502,502,282,500,282,502,500,800,501,502,502,800,501,282,800,482,16,649,649,649,800,649,500,503,502,500,800,282,500,502,502,500,280,501,800,502,516,800,500,502,503,503,501,502,502,121,649,800,649,16,282,800,500,649,800,500,502,649,800,501,501,501,649,718,500,500,282,979,504,16,800,501,649,503,106,500,503,800,500,282,501,503,502,502,500,563,503,502,649,501,649,453,800,503,525,864,502,501,502,502,800,500,800,800,504,800,649,500,805,649,649,649,503,311,503,282,500,649,500,501,16,649,282,503,649,501,503,282,500,800,282,500,705,800,503,16,502,503,502,500,776,800,800,59,800,501,939,649,503,521,649,502,705,16,649,501,800,649,502,800,500,800,112,16,503,501,503,501,501,649,23,502,800,500,502,535,501,502,649,129,800,502,504,107,649,649,649,649,649,501,313,649,501,500,502,501,649,16,800,800,501,800,649,503,800,794,502,503,502,501,999,500,501,502,503,501,503,502,16,800,960,282,587,457,503,500,800,500,500,500,800,800,501,282,795,649,503,503,649,800,282,503,794,800,502,503,500,502,501,800,501,800,503,282,16,502,282,527,500,107,800,649,649,500,452,501,649,218,800,503,503,500,746,500,649,800,649,502,502,649,503,501,500,502,500,800,410,880,800,649,502,838,800,649,501,500,282,800,965,649,503,500,500,282,502,500,503,503,502,500,500,145,204,502,502,503,502,500,501,502,500,282,649,800,576,649,503,500,500,501,500,500,987,649,501,694,501,649,500,501,16,282,502,736,500,503,800,535,554,503,502,500,649,282,502,502,800,502,502,501,501,500,502,259,503,500,649,502,501,649,500,282,649,649,282,501,501,800,501,500,503,282,649,501,503,502,501,501,501,503,503,800,649,503,502,502,503,502,503,502,800,503,282,501,502,796,107,649,191,649,38,649,502,800,649,503,502,454,649,503,103,800,649,502,800,649,502,284,103,282,503,16,649,501,503,282,800,501,649,501,503,500,501,501,500,800,500,500,502,503,649,500,501,16,501,16,503,649,824,34,503,503,649,282,649,501,800,500,502,800,282,649,501,649,503,831,503,341,800,957,500,107,503,282,800,501,503,503,500,649,502,16,500,800,503,649,282,501,649,282,544,502,501,800,501,502,282,500,503,649,501,501,16,503,500,500,800,500,442,500,649,800,282,502,500,649,503,660,800,500,221,503,502,500,503,503,282,282,502,501,504,73,282,500,800,16,503,649,503,503,501,501,501,65,501,800,501,503,800,649,649,503,502,502,503,500,124,73,502,800,831,649,282,500,500,282,503,649,502,501,16,501,500,800,160,502,649,500,282,649,500,714,800,500,389,500,282,16,282,504,501,282,503,463,32,503,635,503,501,649,649,649,800,282,501,282,800,800,16,500,282,800,501,500,649,500,932,501,503,502,276,649,501,147,501,649,503,649,502,649,500,502,501,502,502,501,800,16,502,500,503,193,502,504,800,503,500,501,800,800,500,503,500,500,502,649,649,16,502,501,282,800,640,501,649,504,501,800,649,503,282,103,503,501,502,500,827,501,649,504,500,800,524,800,649,503,501,784,985,503,800,649,500,502,218,501,502,800,502,500,800,16,821,649,502,800,649,800,800,500,282,500,800,649,503,16,281,800,282,800,503,649,500,503,800,502,649,107,503,500,649,501,649,649,340,649,649,800,502,500,500,501,504,501,800,649,986,649,503,500,800,16,500,501,500,502,800,502,800,282,500,502,503,800,502,501,793,649,649,501,282,500,502,649,16,502,500,282,503,500,503,649,649,503,649,503,649,500,500,649,500,500,436,649,282,649,503,500,649,649,267,282,649,16,62,649,502,502,500,123,282,800,648,502,503,500,504,501,800,282,800,500,649,501,503,377,800,649,649,502,649,501,500,649,502,282,501,649,284,502,12,502,649,500,800,649,502,800,800,800,649,500,800,282,500,16,500,501,502,575,502,16,501,971,502,502,501,800,503,501,501,503,800,800,503,500,574,500,22,649,800,502,500,649,649,500,649,315,649,500,800,800,800,503,501,503,355,500,502,501,16,503,503,649,649,504,501,503,503,502,800,503,553,649,649,502,503,500,649,501,498,800,501,649,501,502,503,282,282,538,800,282,503,16,501,500,503,29,282,649,502,800,503,501,800,504,500,270,503,649,501,649,282,649,597,649,282,503,504,501,500,501,800,501,688,649,501,500,369,501,530,800,16,800,198,502,800,503,800,500,503,502,649,503,502,411,502,500,649,800,800,194,503,196,800,500,503,16,504,500,503,500,800,550,500,500,501,503,445,649,502,800,503,282,970,500,500,649,500,16,502,107,501,500,502,502,18,503,649,501,800,501,502,502,696,503,649,500,503,649,500,800,501,503,649,649,800,846,26,502,649,503,503,500,649,649,504,800,502,649,800,502,501,503,800,501,500,649,501,503,800,503,500,503,504,649,800,800,501,500,16,649,502,800,503,500,502,817,282,503,500,501,501,503,500,68,867,638,503,228,649,800,282,502,502,503,930,503,649,502,502,664,282,502,504,282,800,350,689,500,282,503,502,504,501,800,501,500,649,503,500,503,800,503,649,501,649,503,649,501,800,459,502,252,502,649,649,649,500,282,500,282,503,501,800,502,502,502,502,16,501,282,649,503,649,282,501,800,503,649,800,501,649,500,282,86,503,800,501,500,649,503,503,649,502,408,855,500,502,502,767,800,649,649,181,800,800,500,503,503,502,500,649,501,16,501,649,501,502,500,503,500,501,800,800,800,500,500,501,705,800,501,503,649,649,503,800,500,800,265,282,649,501,502,818,500,500,800,503,649,649,500,649,500,504,500,500,649,502,503,649,502,503,501,502,503,501,501,800,498,649,282,503,503,502,502,107,649,16,502,649,649,503,500,504,459,504,502,503,503,501,500,800,734,118,500,800,16,800,284,649,26,501,800,501,501,112,649,800,800,503,504,649,501,375,500,730,649,649,649,500,109,503,800,504,500,647,503,500,502,800,501,501,800,503,502,501,503,503,501,619,503,933,503,504,282,100,503,501,649,501,282,503,649,649,503,502,649,502,503,500,502,96,500,800,502,500,16,649,503,500,503,502,282,500,649,500,502,500,500,500,503,502,500,500,502,800,143,16,503,282,649,649,500,500,501,502,503,800,33,649,982,501,800,500,649,358,500,501,16,800,194,649,500,502,501,500,649,649,503,649,649,501,500,501,503,649,282,503,282,501,368,19,800,800,659,503,649,502,502,501,282,282,502,500,800,224,705,503,649,501,503,502,500,16,282,503,501,500,800,503,314,503,500,501,649,649,860,500,282,501,500,501,997,903,649,800,501,16,800,649,649,500,503,987,649,501,322,501,502,282,503,501,649,649,587,501,501,500,649,503,282,502,502,502,649,502,502,643,503,501,800,502,501,502,282,501,501,502,800,502,504,649,16,649,502,711,500,800,500,807,800,282,501,500,20,502,501,500,501,649,16,500,649,649,282,500,649,692,578,500,800,282,502,503,16,649,503,649,649,649,800,502,503,501,503,503,501,503,800,748,601,502,282,282,503,502,503,503,500,501,503,800,800,649,649,977,16,503,501,800,502,933,502,800,282,503,649,502,502,501,800,503,503,500,501,500,649,282,800,502,649,501,501,503,282,282,502,359,649,502,503,800,282,369,374,500,500,503,502,500,649,282,502,500,500,649,503,800,503,502,649,501,649,500,503,16,501,503,503,500,800,800,107,502,649,800,649,202,500,72,501,16,862,501,501,800,502,649,500,800,16,647,712,500,500,727,501,16,800,502,500,800,332,502,500,649,500,880,282,500,500,502,649,901,183,800,500,649,649,501,800,800,502,800,800,503,154,16,465,282,800,503,649,904,501,503,503,501,500,502,502,500,502,500,460,503,502,649,791,600,291,500,649,282,649,402,800,503,85,16,800,282,649,502,501,501,800,800,501,500,282,16,502,502,282,282,103,500,398,500,649,649,501,107,649,285,282,694,404,503,501,383,649,800,781,649,800,800,502,503,527,502,501,655,649,218,500,503,971,501,503,501,500,649,503,500,649,649,500,501,649,503,282,649,263,503,705,282,118,649,282,503,16,800,800,282,800,800,501,501,503,502,282,669,384,282,649,500,800,501,968,503,502,500,800,501,800,649,800,503,800,502,649,282,503,107,500,501,800,16,649,500,500,800,501,800,282,649,649,503,282,649,694,500,502,502,649,503,282,500,503,16,502,282,502,649,500,503,501,657,503,282,800,800,502,500,849,16,649,502,666,234,103,800,900,16,913,16,800,800,844,500,500,800,649,501,503,503,649,503,704,649,501,502,800,800,649,649,800,502,500,502,501,576,500,282,503,504,16,245,502,649,501,500,649,502,39,503,500,438,800,282,503,503,501,494,282,800,501,502,501,107,104,18,800,502,800,503,502,501,800,501,502,501,504,109,503,501,502,503,676,800,800,503,159,282,504,282,291,500,501,502,500,800,501,973,503,502,500,800,501,500,16,503,698,501,649,649,709,502,649,502,501,705,800,282,227,500,649,501,800,800,16,502,800,502,800,490,500,500,649,649,500,503,649,501,503,502,141,501,832,800,500,501,502,502,16,787,502,503,501,501,501,800,502,800,503,800,502,503,503,502,503,503,502,649,501,16,502,502,637,502,649,649,500,503,503,500,16,282,500,502,504,800,503,649,800,503,800,500,503,500,649,800,800,935,107,800,503,500,747,500,500,882,330,500,503,502,501,500,501,500,503,282,500,501,649,114,500,470,502,800,500,501,800,498,649,149,500,502,791,502,503,172,504,282,501,282,501,507,800,649,282,502,502,502,500,503,501,500,93,800,649,649,500,503,503,501,282,503,501,502,500,501,503,16,800,523,649,984,800,800,503,502,282,170,501,282,136,800,808,145,800,503,503,502,100,502,502,501,502,649,503,503,800,503,103,776,503,586,500,16,649,282,503,270,500,16,282,502,502,598,800,503,649,724,649,649,800,500,282,501,73,500,436,502,503,503,282,800,502,649,503,649,16,801,500,503,16,649,800,501,107,501,501,500,500,336,501,113,502,996,502,800,502,649,807,569,282,800,649,290,107,800,501,503,502,16,103,381,502,282,501,282,800,503,503,501,649,503,503,876,649,501,649,501,502,649,282,800,500,177,800,503,502,501,649,500,502,503,282,649,73,502,649,649,503,504,16,500,500,800,800,800,649,500,503,501,503,800,503,500,503,502,502,502,501,800,501,808,500,500,502,501,500,501,502,298,800,773,501,800,779,705,500,800,649,501,649,800,800,16,415,504,500,503,649,500,502,500,282,649,502,649,502,500,502,501,800,800,800,649,649,649,154,649,282,500,800,649,503,502,502,501,282,705,282,649,800,503,503,282,500,502,800,800,502,501,649,16,282,649,503,16,914,649,282,11,320,800,502,503,649,649,500,500,242,282,282,501,500,282,501,800,649,800,503,342,501,501,649,502,501,649,502,847,60,504,500,501,503,502,787,800,649,453,649,503,410,501,316,734,433,800,501,501,501,502,503,800,501,16,649,502,676,649,16,247,282,286,503,502,263,503,500,16,503,493,223,649,503,503,501,500,649,282,152,800,800,503,649,649,16,649,282,500,501,649,501,282,800,60,649,502,500,800,501,879,502,502,503,501,16,500,502,800,282,501,916,649,500,649,500,800,503,501,282,649,282,501,502,502,504,800,16,503,800,649,500,502,800,503,500,502,500,366,649,500,500,504,649,501,650,500,501,649,649,16,502,502,502,501,501,649,649,501,502,502,500,503,480,504,502,800,282,503,649,502,282,282,800,502,500,282,282,502,501,597,649,800,649,800,501,649,503,800,503,504,501,501,649,282,503,649,657,649,501,735,649,103,502,503,107,502,503,649,500,503,649,502,107,649,649,282,16,501,502,500,800,500,837,502,500,502,504,500,649,500,503,649,107,502,501,649,502,503,16,800,502,282,107,501,378,649,800,800,10,503,502,502,500,503,500,800,649,649,500,500,501,601,800,649,899,766,500,649,282,649,501,502,977,16,800,649,16,504,503,502,800,800,649,502,887,98,282,503,649,649,503,649,649,501,800,282,282,503,23,501,502,502,649,800,502,258,502,800,649,503,800,282,503,503,503,800,800,500,863,282,429,649,732,800,16,494,501,500,800,282,800,649,503,502,500,800,500,226,503,649,560,500,501,502,502,800,800,500,501,501,598,800,649,503,501,502,500,503,502,501,501,821,130,16,977,649,649,503,501,502,282,501,501,501,502,649,503,501,800,800,649,501,800,800,502,800,800,800,282,502,500,800,502,649,599,649,501,282,500,501,649,502,4,649,649,649,800,502,649,501,282,501,502,649,504,500,649,504,502,282,512,16,165,341,502,502,800,501,501,649,649,649,800,503,503,760,502,157,503,500,800,503,502,800,282,282,503,742,800,502,800,502,649,501,649,16,502,501,800,649,503,500,502,502,316,994,16,500,502,800,649,500,649,800,961,502,391,503,752,800,282,500,500,502,649,502,282,500,800,503,649,189,500,501,800,649,502,800,501,502,501,868,282,605,649,500,503,649,649,500,502,649,503,503,502,500,504,649,502,16,649,483,503,649,500,800,649,800,800,502,282,503,537,649,503,501,503,800,800,500,502,502,502,503,503,279,800,500,789,502,503,502,800,500,800,800,502,503,282,502,500,282,649,649,503,500,649,500,501,179,500,673,237,500,976,500,502,501,800,282,503,501,501,503,417,217,500,800,503,502,503,800,503,502,800,649,500,500,503,16,501,503,501,649,649,502,649,649,501,16,375,800,649,800,800,501,501,493,844,501,282,503,501,800,972,501,800,500,103,800,503,501,503,649,73,500,649,504,800,604,649,503,649,706,503,503,119,503,504,800,800,76,503,503,800,636,502,500,483,400,800,503,501,501,800,501,800,502,500,501,16,800,104,500,282,16,800,500,402,800,255,504,500,503,16,282,501,454,335,482,503,649,800,649,500,800,500,649,332,282,504,282,740,501,282,800,649,501,500,501,501,503,502,800,503,501,503,504,362,878,16,503,500,502,800,800,500,649,503,800,500,800,503,282,502,503,500,256,501,649,502,649,503,501,39,282,500,500,282,501,800,500,501,503,502,53,503,16,649,503,501,500,502,282,649,781,649,503,812,503,502,500,649,504,649,649,800,181,989,800,500,502,500,649,649,649,649,800,800,800,502,500,500,615,501,503,500,649,501,278,502,502,649,356,502,282,501,501,282,501,503,500,282,16,16,501,502,800,502,800,500,800,282,282,282,697,503,649,504,500,645,500,504,915,501,800,282,282,502,800,501,468,649,502,502,800,289,800,500,954,501,16,501,800,500,16,503,502,361,500,503,661,282,282,501,800,282,800,711,649,502,500,649,16,800,500,501,500,501,800,503,502,500,502,504,501,501,705,503,649,500,16,821,649,502,800,282,502,107,501,524,800,649,502,502,800,649,800,874,649,501,501,800,649,649,800,503,501,282,649,503,503,502,649,502,649,501,649,500,800,500,500,502,500,649,649,501,500,502,185,500,503,649,502,501,282,503,282,729,282,800,500,502,649,503,501,649,139,649,503,501,800,800,500,283,502,501,502,500,502,501,595,500,16,800,503,502,800,501,502,500,864,500,800,16,282,800,800,107,649,649,649,282,649,502,16,563,503,502,649,502,503,800,503,503,282,503,503,282,649,800,649,728,502,649,503,649,649,171,114,282,501,649,800,649,500,504,800,800,502,49,649,501,503,282,501,59,502,503,503,502,502,107,500,502,649,500,503,502,800,501,800,501,502,503,649,501,649,649,174,503,649,500,500,500,16,800,503,502,282,649,502,501,800,928,16,649,500,503,990,500,649,800,800,800,503,60,649,501,705,800,501,439,649,501,174,800,501,500,502,502,503,501,501,16,737,649,500,649,777,649,649,503,501,503,348,503,503,730,282,649,502,502,800,649,649,649,501,361,282,501,503,649,500,16,501,282,16,800,107,501,282,459,500,282,501,649,962,501,705,649,502,500,502,285,649,649,501,504,501,502,500,508,500,503,502,500,503,649,282,503,16,500,500,649,649,501,500,649,649,800,503,536,649,800,501,502,502,649,666,649,282,107,503,16,500,502,649,16,503,503,591,501,16,502,503,503,282,921,500,503,501,503,306,649,502,503,282,501,500,499,705,282,282,569,282,649,835,282,502,800,282,800,500,500,649,282,649,800,649,502,502,500,503,503,500,800,503,503,800,282,800,800,800,800,502,502,500,649,800,649,649,502,800,447,503,500,500,500,501,501,501,500,502,503,800,649,504,649,729,649,800,282,500,500,501,918,16,800,503,501,800,503,800,504,649,853,502,649,282,501,800,649,502,502,501,503,940,800,649,501,500,282,16,501,501,649,501,282,605,800,282,501,618,500,649,502,282,649,649,501,800,501,800,649,500,800,503,649,500,501,649,502,649,500,16,649,649,500,649,502,503,502,649,282,800,500,800,800,728,500,500,501,649,800,649,681,501,503,503,502,649,502,224,649,501,704,502,500,503,502,503,500,502,800,649,649,502,501,649,800,502,503,800,829,502,503,800,800,503,800,502,502,500,649,502,504,16,500,649,504,502,282,500,502,963,649,500,503,500,501,502,503,649,500,282,500,649,501,630,649,16,607,871,501,501,649,289,500,649,649,16,800,649,502,202,16,501,503,649,501,800,16,800,16,502,800,502,503,649,800,16,500,501,649,150,800,500,500,500,649,800,800,502,503,501,800,503,657,503,502,800,504,107,501,552,503,502,502,282,16,502,800,503,74,502,502,800,282,107,279,460,503,502,800,503,649,16,503,282,16,502,107,407,503,282,503,500,800,282,649,504,649,503,503,106,800,502,282,800,500,282,282,800,127,800,504,16,16,649,649,800,501,500,282,501,500,500,800,503,501,582,502,502,800,649,369,649,649,800,501,649,800,502,500,503,346,500,502,501,800,800,501,800,282,282,500,503,503,500,626,812,502,565,800,503,501,800,649,649,800,962,503,502,800,282,986,800,649,649,240,800,500,800,16,500,500,503,631,649,282,500,800,500,649,502,800,500,281,649,501,502,504,435,16,502,501,649,503,501,500,503,120,501,503,389,711,502,500,502,649,16,705,649,501,502,500,500,501,30,649,501,649,649,649,649,800,502,183,502,500,502,501,503,501,649,649,848,504,282,282,500,502,649,501,282,384,208,580,501,800,649,282,500,800,16,951,503,800,503,503,649,500,503,800,649,503,43,502,502,107,800,501,501,502,502,500,800,649,800,500,501,800,103,502,388,502,503,649,500,501,500,503,501,800,800,502,501,16,502,229,402,800,502,500,541,500,500,800,503,501,16,800,649,504,500,649,282,502,800,500,619,500,399,501,500,282,502,16,282,501,282,501,500,502,502,502,811,502,501,800,502,800,502,282,500,751,501,501,500,502,649,157,500,501,282,649,503,503,800,649,502,503,502,501,800,502,500,118,282,502,501,502,649,800,501,502,500,746,800,501,800,502,501,501,500,503,503,500,800,649,649,800,282,16,726,557,545,800,501,500,800,503,16,161,282,500,502,502,503,800,502,502,500,282,565,649,800,500,76,503,282,502,989,649,500,282,500,427,800,502,282,501,500,502,282,501,502,800,502,502,282,500,503,667,800,501,67,501,800,502,649,233,800,501,500,502,649,502,800,649,800,503,800,502,502,503,649,243,16,800,643,500,800,500,16,800,572,500,503,503,502,501,158,501,501,800,16,16,800,282,649,800,502,360,618,502,500,649,800,501,282,502,502,800,800,649,501,503,280,800,503,500,800,800,800,502,800,959,81,503,501,135,103,800,503,800,899,500,502,500,800,503,500,501,501,501,800,800,503,503,28,649,502,649,502,16,501,981,100,500,503,649,502,502,502,282,232,7,501,504,800,504,16,649,501,265,649,649,649,800,502,800,649,504,789,501,502,500,226,374,282,649,649,346,649,800,22,502,95,56,592,500,501,800,500,501,649,800,502,502,502,501,501,502,649,282,777,282,800,501,649,649,502,502,500,800,504,649,800,501,933,800,503,107,502,800,502,800,501,500,500,501,16,502,502,649,501,282,501,800,282,504,503,800,500,503,500,501,501,282,42,502,800,502,649,230,807,649,501,500,725,500,501,502,16,501,800,649,705,151,649,502,503,649,500,818,502,500,500,649,503,885,503,282,502,500,649,601,649,503,800,501,503,15,501,503,500,649,649,16,502,500,649,706,501,502,502,800,503,879,503,16,500,502,16,800,800,503,282,501,503,503,649,500,502,649,487,649,501,800,503,501,501,500,502,500,501,649,354,500,800,501,501,649,649,959,16,503,705,649,503,649,649,500,649,500,502,500,502,502,500,800,800,501,503,502,502,504,500,502,282,649,500,800,503,16,122,16,501,503,502,502,501,623,501,282,282,840,800,282,502,503,649,649,503,800,503,503,503,143,800,800,502,273,500,649,500,501,800,501,503,637,502,955,344,282,289,649,502,503,501,800,502,649,649,500,800,500,649,800,800,500,503,503,503,649,503,502,500,503,800,800,282,649,800,649,502,503,649,501,501,31,500,282,503,502,328,800,501,503,866,503,501,502,371,768,500,649,282,500,16,501,502,441,500,800,235,502,502,502,374,503,502,236,649,503,16,800,16,800,458,503,282,501,282,501,503,778,503,501,649,500,500,503,501,282,500,800,501,502,512,503,501,501,501,16,800,503,649,503,800,502,503,501,800,16,282,501,16,919,503,500,502,800,649,502,501,649,840,503,500,502,500,800,282,500,501,282,282,649,502,502,501,503,649,104,649,800,502,503,502,282,800,503,683,501,502,193,800,800,649,503,503,503,800,649,503,500,501,501,502,500,503,800,769,18,504,503,500,503,501,800,502,500,800,406,649,649,503,501,939,502,649,503,902,501,501,63,800,649,503,800,800,500,503,503,800,649,503,502,501,800,800,502,502,503,503,800,800,800,324,502,502,502,502,857,500,649,501,649,16,500,370,282,504,503,502,501,502,501,500,502,282,800,649,800,500,500,649,503,501,282,800,502,803,503,800,800,502,649,125,501,649,800,502,502,868,782,800,500,502,504,800,16,800,649,502,503,502,500,500,800,502,501,502,503,282,800,800,107,649,800,649,502,800,800,705,501,503,500,501,648,649,502,649,649,800,501,504,542,148,624,2,502,800,501,503,649,649,500,503,649,502,282,502,502,503,800,501,502,503,502,503,500,800,503,649,500,502,207,502,503,504,502,922,502,503,501,800,800,282,503,781,502,503,501,500,500,500,153,282,502,500,500,502,800,501,500,16,503,800,16,460,501,800,500,800,503,502,502,502,282,500,501,584,501,705,502,502,282,649,282,682,313,800,800,502,649,500,738,800,500,800,649,649,503,800,800,503,800,500,649,800,500,800,881,800,503,500,503,502,503,502,502,800,502,502,503,649,282,504,649,649,501,967,501,897,502,370,800,107,503,502,500,676,649,649,800,500,800,500,500,501,467,800,800,800,328,186,205,501,800,800,649,800,503,16,649,678,800,649,503,501,800,500,800,500,649,282,362,527,501,649,800,503,649,503,382,511,649,800,500,926,649,501,649,503,503,282,16,800,501,503,16,16,501,504,500,500,500,144,501,502,428,649,591,502,800,16,500,500,501,501,16,800,649,502,649,800,649,282,500,503,608,800,504,504,500,800,649,502,649,282,500,649,501,500,500,503,649,800,282,503,501,535,500,503,282,16,290,502,311,800,81,282,800,282,649,500,649,503,500,502,800,502,503,502,649,800,800,503,800,800,800,282,501,800,501,282,501,649,807,649,800,502,501,501,502,502,500,503,800,800,500,501,313,800,860,503,939,501,649,282,800,282,500,649,760,282,500,501,199,501,282,800,139,800,282,800,501,282,282,502,800,500,502,500,502,503,501,501,649,501,800,16,500,501,503,649,800,503,103,649,800,500,503,649,800,282,503,282,649,503,500,500,503,742,501,503,950,503,292,502,99,649,502,800,503,590,649,502,503,16,502,649,649,502,500,112,282,649,501,800,501,502,500,649,800,649,501,501,502,501,16,502,500,649,649,501,282,502,503,502,502,282,800,502,800,503,840,500,800,501,500,282,800,502,282,800,500,501,16,810,800,502,649,502,16,649,500,282,616,107,501,502,800,503,501,16,502,655,501,502,109,282,282,649,800,649,502,500,634,649,800,282,148,501,649,649,16,503,800,503,500,16,504,800,3,800,501,800,649,502,800,649,649,710,501,501,501,502,501,500,501,500,800,800,495,800,800,16,503,503,500,649,503,503,282,611,907,800,282,502,103,649,777,503,501,502,166,649,16,501,502,500,500,800,500,502,649,500,502,16,500,500,503,649,800,800,282,800,800,500,501,800,500,800,503,800,694,502,503,500,103,649,649,800,103,649,503,107,503,502,649,107,16,649,501,503,263,323,500,776,649,501,500,107,649,800,144,501,500,649,649,503,190,16,920,503,503,103,501,282,800,500,649,649,500,503,501,500,16,503,711,501,502,502,764,501,649,503,501,504,800,503,282,649,501,649,800,501,503,502,500,16,800,649,800,649,501,103,500,649,800,800,501,290,460,502,38,503,502,503,503,282,800,501,800,500,649,500,282,503,800,802,501,649,800,501,649,500,16,500,103,608,800,503,500,649,406,840,500,501,503,649,303,649,938,800,282,35,501,800,503,855,501,649,503,501,800,503,649,282,503,500,16,502,503,503,503,500,980,503,503,501,266,501,502,649,649,800,800,107,501,500,503,502,649,891,502,500,905,502,503,800,649,502,800,649,649,501,502,503,502,502,503,500,502,649,282,800,282,502,649,649,649,800,123,500,649,502,800,501,501,800,107,649,16,978,649,501,181,500,16,16,504,503,800,501,503,800,282,503,501,649,500,501,282,502,500,502,500,649,500,501,500,649,16,501,16,503,800,502,649,504,500,503,501,500,800,282,16,649,649,501,827,124,556,800,132,501,500,800,649,800,694,800,500,501,501,649,503,500,107,501,503,501,502,503,502,501,502,501,501,502,502,502,16,732,649,760,282,649,501,500,569,282,800,649,503,500,502,502,282,500,502,871,649,504,649,501,16,282,501,501,800,631,501,501,500,16,503,16,501,500,500,800,800,504,16,500,282,500,800,501,503,503,807,800,502,501,649,503,800,500,800,18,800,16,501,800,800,258,501,282,800,649,500,649,501,757,503,611,642,503,503,208,768,502,502,800,503,563,501,282,282,800,204,800,503,282,503,649,504,800,500,800,649,503,282,800,649,649,425,503,800,500,282,800,800,904,54,502,503,502,501,800,500,501,611,69,501,800,502,800,502,503,649,502,649,800,502,649,160,299,502,501,637,500,649,503,649,501,282,653,800,501,649,800,502,649,649,811,503,764,136,282,282,649,501,800,193,503,800,800,16,500,501,107,501,500,500,501,835,649,492,932,501,501,800,649,649,649,501,649,503,800,171,885,502,501,502,800,800,503,282,500,649,649,500,442,500,503,800,800,503,503,501,800,213,16,501,501,503,500,649,282,649,502,503,282,502,500,500,503,501,800,904,649,381,500,649,502,503,705,107,31,310,649,649,500,500,800,502,503,474,503,649,948,503,649,502,501,500,502,282,502,649,649,502,275,503,282,649,504,503,800,502,649,501,307,503,800,800,502,500,502,800,501,649,502,282,503,983,649,5,503,16,318,16,503,340,501,649,649,501,800,649,73,611,800,500,800,422,502,502,501,502,500,502,503,800,501,649,831,500,502,503,500,800,389,501,501,584,649,502,502,649,502,500,800,501,649,501,282,54,503,501,503,649,649,501,502,800,800,500,800,503,503,503,500,282,501,500,800,503,500,500,500,649,501,800,502,503,501,800,500,502,282,188,500,503,500,504,503,282,282,503,800,649,320,649,649,502,649,502,502,500,282,502,503,501,500,503,503,502,947,570,500,19,503,282,649,502,502,503,167,817,800,282,503,649,282,502,649,502,107,502,442,800,649,282,800,649,502,502,282,500,502,282,503,282,282,649,595,800,501,385,649,282,503,501,501,500,239,800,502,503,503,503,649,800,500,800,800,500,800,501,500,649,913,649,619,502,800,502,502,649,800,649,500,502,503,649,282,500,800,841,501,711,649,502,536,501,502,503,800,500,500,649,500,649,500,16,629,649,800,282,502,800,800,800,503,500,945,760,536,500,122,635,649,503,270,500,292,502,502,800,501,502,502,501,500,502,282,503,282,502,649,502,649,649,502,781,800,500,282,501,282,192,502,649,792,282,500,503,502,649,502,501,649,688,851,500,500,500,250,649,282,501,800,800,282,501,800,16,107,501,502,649,502,291,503,502,502,503,649,16,59,503,501,282,366,800,649,649,500,501,282,712,705,502,500,947,500,649,503,502,503,500,501,502,649,800,800,503,282,501,16,501,282,503,503,500,503,500,504,500,282,800,800,282,7,649,282,800,282,800,800,282,500,649,502,649,501,282,180,800,502,501,503,282,800,501,500,800,502,502,501,501,40,282,800,503,502,131,282,503,649,282,16,139,503,800,502,503,504,503,502,502,503,500,503,649,172,501,501,500,282,502,503,107,500,800,502,649,502,823,649,502,649,967,501,563,503,649,502,649,786,282,500,501,800,649,502,502,649,649,649,502,800,503,282,502,502,503,503,501,800,502,16,503,649,800,503,649,800,501,503,16,501,502,282,502,649,502,649,502,649,282,649,800,800,503,504,502,500,16,501,503,503,640,282,501,445,649,500,501,649,500,88,501,649,107,649,502,500,502,282,504,282,501,503,800,500,502,501,649,503,649,502,282,697,503,503,500,500,649,16,501,503,800,453,800,500,800,649,649,500,503,500,501,501,575,502,502,502,500,501,502,71,649,344,502,800,800,800,16,797,500,501,359,988,501,856,502,503,504,649,503,282,282,631,501,800,21,16,649,501,800,107,501,282,16,649,500,282,649,501,500,891,500,503,16,501,800,503,502,501,272,800,282,502,502,282,502,800,500,930,503,800,501,800,282,807,568,503,502,649,800,503,502,16,500,503,501,503,500,504,800,501,503,503,502,800,800,649,503,503,501,502,501,500,502,649,501,503,800,501,500,500,297,265,502,500,500,503,100,503,800,282,107,503,800,282,500,500,800,502,794,16,501,649,504,800,996,800,282,504,649,500,500,579,501,500,501,500,649,502,502,501,26,649,197,500,333,501,500,800,501,649,41,100,502,502,142,501,503,649,503,800,831,500,500,503,501,282,503,501,503,381,500,16,800,282,649,649,502,672,503,866,649,649,649,500,414,282,500,178,107,434,502,502,501,649,735,502,879,500,500,800,502,649,460,800,500,282,501,502,501,501,503,501,502,282,800,57,500,500,502,649,504,649,504,552,649,649,503,503,502,500,740,282,282,544,501,503,502,501,649,16,501,500,800,500,500,501,800,16,7,649,502,503,501,502,502,500,502,266,500,502,282,500,605,800,649,500,500,501,500,503,649,503,500,503,800,649,502,502,500,787,291,282,73,503,649,501,16,16,501,722,501,912,501,649,543,649,503,502,500,282,500,649,84,503,501,500,649,649,800,502,36,649,501,502,503,500,501,502,282,800,501,649,170,16,800,282,800,800,502,649,502,800,16,226,800,800,800,800,500,501,503,800,503,800,501,503,502,503,502,800,282,309,503,501,504,503,503,502,649,649,501,503,500,503,502,503,500,649,822,649,501,502,501,16,500,501,502,879,500,800,649,57,502,890,800,282,503,800,649,649,500,502,501,501,282,649,649,503,649,500,502,191,501,500,107,800,800,311,392,500,500,500,649,501,503,503,501,501,500,501,800,15,800,649,282,800,503,649,649,504,649,500,503,502,649,649,501,500,830,503,501,503,503,502,7,14,501,501,800,500,649,502,16,502,800,500,501,502,649,501,800,16,502,501,520,800,649,500,649,502,503,649,649,504,649,504,800,813,282,705,501,501,551,103,107,587,644,282,500,124,800,800,800,800,500,633,503,502,500,800,503,503,649,649,502,501,503,500,649,705,800,501,705,282,649,501,107,282,502,916,500,500,500,649,501,649,329,502,503,500,705,500,649,282,503,502,800,649,585,500,503,433,800,800,502,500,107,649,501,800,501,800,282,502,500,649,502,649,204,800,500,503,16,500,500,501,800,113,504,501,500,800,649,819,502,502,502,800,16,501,503,800,860,500,501,800,501,800,504,649,500,500,501,501,964,282,503,503,503,501,502,649,630,500,500,500,423,219,800,109,501,103,649,502,649,501,501,800,503,16,880,501,501,649,502,500,913,503,501,282,16,649,649,500,649,532,503,800,503,503,503,800,67,503,501,649,502,649,800,500,500,649,503,500,501,501,800,501,103,500,800,282,501,649,500,501,500,800,502,501,503,502,504,500,800,502,649,876,800,503,800,501,649,501,643,282,503,501,501,52,501,504,649,500,503,800,501,649,649,800,503,500,16,500,649,800,500,503,800,500,800,649,282,282,502,810,500,175,501,16,501,649,502,649,500,800,502,503,282,500,282,500,800,800,649,800,800,705,282,307,649,800,500,500,502,107,649,282,500,649,649,16,649,649,800,502,16,500,503,800,501,800,649,503,500,504,503,800,503,649,437,500,282,649,800,500,16,800,500,649,649,285,800,842,501,800,504,500,16,502,502,500,503,718,501,502,503,500,800,503,502,649,500,107,500,503,800,500,16,500,502,649,502,649,800,649,500,500,695,800,502,503,501,800,800,503,502,748,503,800,800,282,800,501,597,500,500,503,502,502,800,649,293,649,649,800,800,649,502,501,502,800,702,500,501,502,143,800,649,587,502,800,649,800,503,501,501,503,103,649,501,800,502,800,282,503,900,940,503,825,501,502,282,502,500,501,5,502,800,264,705,502,573,501,503,901,649,800,676,649,282,649,475,649,501,501,759,501,800,501,501,500,503,800,992,103,597,501,800,501,503,501,649,500,500,502,282,800,500,502,649,502,649,500,501,745,501,502,649,800,218,649,649,16,396,16,503,649,502,501,219,800,800,800,800,413,500,503,649,500,501,109,649,649,968,649,500,501,800,738,502,282,614,501,500,800,501,503,503,502,649,501,501,501,649,649,800,800,503,501,501,501,16,649,649,500,501,800,501,502,16,500,103,103,501,500,502,502,649,282,501,503,503,503,649,862,502,800,501,299,503,800,282,501,503,500,500,800,502,500,800,800,500,649,800,501,503,649,649,501,800,503,500,501,501,503,500,502,501,103,649,282,502,501,770,500,800,16,159,649,500,500,800,501,501,800,800,500,502,501,500,649,503,501,282,503,500,500,649,649,839,282,501,649,502,911,800,800,800,500,649,128,649,500,503,800,501,800,503,501,649,16,16,349,649,800,500,503,500,500,587,502,503,667,967,282,500,501,800,503,501,503,649,282,800,502,649,800,800,502,107,502,932,180,501,500,16,500,282,501,649,501,649,500,500,800,500,503,649,193,501,282,502,649,500,649,502,501,503,503,800,649,800,988,503,649,502,502,503,800,282,502,501,800,649,500,500,16,387,866,282,28,500,311,501,16,500,501,502,500,502,503,649,503,800,649,649,501,649,503,500,500,503,16,503,500,385,503,800,501,949,503,800,282,107,282,800,500,501,395,503,649,500,800,16,649,649,501,800,502,282,800,502,800,16,502,503,503,501,28,800,501,282,501,282,876,649,501,500,502,510,282,800,502,649,501,107,503,820,613,282,800,502,54,797,876,500,501,282,503,502,649,800,502,434,649,500,649,501,282,503,268,502,502,649,503,282,282,500,800,500,502,503,649,938,282,16,503,500,502,800,649,503,800,800,800,503,800,649,800,649,800,107,800,765,397,649,503,501,502,502,649,1000,170,501,500,502,502,500,500,649,500,649,501,500,502,501,502,500,649,701,649,282,800,500,502,503,800,129,800,500,503,16,502,503,500,800,504,501,503,800,649,503,649,430,501,132,502,503,501,649,649,387,192,501,503,282,649,500,501,500,837,501,504,502,800,500,502,502,282,502,649,107,503,177,164,81,825,194,500,16,649,16,649,800,501,500,849,500,501,781,800,929,501,500,260,902,500,800,473,502,649,321,649,800,649,687,800,107,649,501,800,503,649,649,748,507,503,649,501,501,282,502,649,381,503,282,504,282,501,800,755,282,800,502,503,428,800,282,502,500,282,501,502,503,649,501,649,800,502,502,705,501,223,692,502,503,282,500,649,800,502,500,503,649,500,501,800,800,502,649,800,16,800,562,503,501,503,736,800,503,107,500,503,503,500,502,504,800,502,800,286,502,16,503,502,500,502,502,502,501,501,649,500,501,503,500,961,503,503,502,800,649,500,503,504,502,500,501,649,649,502,800,502,500,800,500,502,800,16,800,107,503,865,501,882,503,500,649,312,282,649,500,503,502,500,503,500,502,502,503,166,800,800,503,649,800,501,18,800,501,500,436,800,16,501,501,649,800,282,500,501,500,500,500,800,500,282,504,500,16,800,502,502,501,800,282,502,502,501,502,282,500,503,503,16,500,503,460,800,800,502,503,501,502,502,649,591,503,649,521,282,501,800,500,501,501,500,501,502,45,649,649,649,500,136,649,800,649,800,649,800,282,502,500,418,800,649,502,16,800,502,500,282,502,502,394,16,765,800,501,502,800,504,501,502,629,649,503,501,649,502,71,468,503,503,503,598,649,16,649,800,501,500,501,244,800,504,282,649,800,649,649,501,503,649,800,800,502,502,649,501,501,501,502,16,649,501,282,500,800,502,502,502,500,374,501,649,649,800,16,500,755,502,717,649,502,501,500,503,649,649,16,282,800,649,503,259,649,502,501,502,500,649,501,649,282,500,503,730,800,503,503,501,237,502,501,501,500,502,500,502,500,209,501,800,454,324,501,501,503,107,16,502,649,705,649,503,502,503,328,931,649,800,649,503,500,649,649,107,649,800,107,502,133,294,16,500,800,807,242,502,16,894,800,501,500,503,649,649,503,501,282,503,649,649,649,500,503,502,502,408,800,107,502,503,800,866,501,501,800,800,952,501,500,800,282,500,502,947,800,69,649,649,649,503,282,649,503,282,800,501,503,800,501,502,501,800,501,762,457,501,649,649,500,649,800,500,649,839,799,500,502,503,502,800,356,461,711,800,503,501,999,502,401,800,503,501,800,503,501,54,649,503,282,16,500,503,500,500,500,800,504,16,800,800,503,501,500,800,502,500,16,503,502,800,649,500,800,502,104,889,502,503,393,501,800,649,501,649,500,503,502,800,501,502,800,800,16,501,501,649,373,502,282,501,996,263,501,502,649,649,649,16,816,502,282,501,800,500,800,800,501,501,282,502,649,649,800,500,502,649,705,994,950,500,800,800,705,502,965,502,502,411,649,503,103,503,649,504,501,800,504,503,800,718,500,282,503,503,502,323,800,502,649,66,800,501,853,649,502,800,501,898,500,500,407,800,63,820,17,387,502,502,500,502,800,501,500,353,503,501,503,647,502,502,501,503,649,503,299,649,140,501,649,701,282,504,503,500,649,503,800,504,407,649,649,649,502,869,157,502,800,503,501,503,503,500,503,649,649,16,500,649,800,681,649,502,500,500,502,357,501,502,503,503,501,649,503,501,503,501,500,513,501,649,503,800,501,503,494,501,501,502,649,500,501,282,649,800,282,501,501,500,282,502,502,107,649,649,500,502,16,501,501,282,465,16,282,322,500,502,649,503,286,500,649,79,503,649,501,637,502,610,502,502,445,501,503,503,298,16,501,503,503,649,800,282,500,282,400,282,503,800,501,796,502,502,503,504,501,503,649,649,503,649,500,500,174,503,800,502,52,500,649,501,925,404,500,501,883,800,16,800,503,501,503,502,852,800,282,282,501,501,800,162,501,501,649,16,500,780,649,649,16,502,800,16,501,501,500,649,498,866,282,16,503,500,502,502,501,800,800,649,16,502,282,502,502,649,501,800,502,282,500,800,961,800,503,503,16,501,503,502,649,999,502,668,500,501,502,502,282,503,501,502,800,257,646,100,503,628,800,649,501,16,649,800,469,16,502,649,501,282,502,217,503,501,178,501,282,812,649,76,500,502,491,55,16,500,649,503,16,501,502,36,501,282,649,501,800,800,502,282,16,800,500,282,649,800,500,502,800,503,502,501,497,501,800,649,649,502,649,763,503,649,501,500,16,649,500,649,500,501,503,649,569,501,282,503,282,649,503,649,282,502,500,502,710,282,889,282,16,649,500,503,501,800,501,649,649,649,504,800,237,502,282,800,500,500,552,501,649,503,501,503,500,649,500,649,501,649,502,501,500,501,282,649,502,501,385,503,503,282,649,501,502,500,649,502,500,500,800,501,800,500,800,502,282,649,800,501,501,500,800,800,97,503,705,649,216,649,500,649,282,502,502,501,503,800,649,502,920,503,965,502,800,503,800,649,552,502,501,589,800,501,503,649,503,282,503,649,800,649,500,500,503,282,785,800,500,502,503,649,501,503,502,503,501,800,649,649,649,500,501,503,501,649,800,649,649,649,282,282,800,503,282,501,649,503,16,16,220,502,502,282,500,944,790,289,649,88,649,282,649,98,503,501,800,212,501,503,502,107,63,503,503,502,215,800,998,800,649,800,800,500,502,501,503,503,649,544,500,500,902,107,122,500,504,649,282,282,500,502,501,800,282,501,501,282,502,503,500,503,649,649,502,649,500,500,649,649,502,503,282,502,451,800,503,502,800,800,500,503,800,500,16,463,649,107,562,16,649,503,445,800,503,800,282,649,503,502,649,500,405,503,502,267,502,800,800,649,977,501,502,800,883,800,92,502,502,800,500,800,16,503,16,16,503,16,800,502,800,503,502,500,649,500,501,16,503,501,16,282,500,501,503,501,800,502,503,649,501,282,649,502,282,649,503,500,500,282,800,500,502,107,501,500,502,800,501,503,649,500,649,500,282,649,585,800,800,502,502,502,16,440,800,502,990,503,501,502,503,836,348,503,282,500,500,800,649,923,500,649,282,800,442,282,503,800,800,500,877,502,800,503,649,502,604,501,16,501,800,503,649,282,73,649,502,282,531,649,503,501,800,501,649,503,500,869,504,503,500,503,649,800,503,649,503,503,649,282,282,124,500,36,800,503,800,500,503,500,500,282,500,502,107,282,500,500,649,800,503,503,504,501,488,500,789,800,502,166,501,282,500,837,503,501,503,503,503,503,500,429,649,500,502,501,502,649,282,800,649,649,502,107,500,483,501,503,502,501,500,940,501,649,649,500,502,649,502,502,503,502,107,282,649,83,500,16,800,503,848,503,501,649,800,501,649,501,800,503,503,502,502,931,107,649,503,502,286,282,502,649,649,649,503,501,501,800,501,649,502,502,503,503,501,503,502,503,242,800,502,503,800,501,649,500,500,800,800,800,501,282,649,649,502,16,451,502,503,500,649,649,800,500,649,800,678,842,502,649,500,800,800,757,500,282,502,649,503,502,695,501,501,503,503,800,16,675,800,859,800,502,649,282,649,500,501,501,501,501,112,502,800,16,503,390,301,500,501,500,800,502,932,282,503,272,800,501,500,501,282,501,502,649,649,16,800,282,800,649,800,501,870,800,649,649,500,500,649,500,500,16,800,502,891,103,501,472,649,502,502,503,502,108,503,800,500,649,501,649,282,502,501,503,705,501,729,800,502,849,649,503,282,16,501,649,719,649,649,516,649,501,800,500,501,649,500,800,649,501,500,501,649,500,502,649,502,429,649,500,503,500,500,500,649,500,881,501,649,649,84,502,503,503,800,501,298,282,500,16,463,502,502,800,500,16,501,282,503,500,769,582,649,291,800,500,501,503,282,502,800,500,500,500,501,502,649,500,282,500,500,649,209,332,800,649,503,649,16,800,282,503,649,502,16,649,800,282,500,502,503,502,502,503,502,503,282,800,800,502,500,500,800,500,649,501,10,705,500,103,501,502,501,503,503,16,501,500,500,649,800,649,282,502,800,504,502,282,649,649,282,502,968,502,16,648,649,318,500,636,800,629,649,500,282,800,503,503,103,503,83,800,500,761,502,500,282,609,501,649,282,501,503,503,501,502,800,649,649,501,502,500,649,501,807,502,800,502,649,16,501,502,520,501,500,649,503,502,501,502,800,503,800,502,282,500,649,735,503,500,71,503,501,502,504,501,502,21,500,502,16,500,500,800,500,800,649,800,649,502,501,282,502,500,503,500,16,800,649,504,501,383,649,500,501,649,649,501,800,500,649,502,500,503,502,649,800,502,107,503,501,649,501,800,501,503,500,16,649,503,503,501,282,919,500,800,502,504,400,502,503,800,503,282,887,500,500,800,500,649,500,649,501,800,800,800,800,800,800,501,800,500,649,503,502,500,230,800,501,107,282,800,503,800,282,800,501,501,649,503,503,107,783,282,502,502,107,502,800,502,501,577,800,800,800,500,800,800,800,655,282,649,738,409,649,800,501,503,502,282,800,798,650,501,800,282,649,202,649,501,649,503,16,649,800,800,503,502,649,503,902,915,500,9,800,800,500,426,500,502,800,502,282,501,502,282,16,761,502,501,501,800,502,502,282,500,800,800,649,500,502,504,503,800,502,503,500,282,282,501,649,503,502,231,500,502,503,649,502,800,649,282,502,800,501,800,649,500,501,504,282,500,503,800,800,502,503,502,500,107,649,282,500,502,16,500,800,500,501,504,282,501,649,502,649,500,340,503,800,282,502,800,500,800,604,103,502,800,503,800,503,800,500,800,282,800,649,502,16,562,212,800,501,649,282,502,504,500,800,503,502,503,501,501,800,800,500,800,800,16,503,502,503,800,649,502,649,649,503,564,500,501,502,502,501,649,502,501,649,2,649,800,649,632,611,649,503,503,649,501,501,503,502,641,800,715,503,504,870,800,282,502,282,649,500,500,501,503,503,649,503,535,502,503,902,501,501,503,501,282,502,649,501,501,800,500,501,500,502,502,800,276,649,503,505,800,800,282,800,107,502,2,800,649,800,685,100,282,500,501,800,649,501,649,500,500,800,71,501,800,503,501,520,502,649,800,800,502,649,501,503,503,500,503,502,502,282,16,270,500,503,500,503,649,501,800,500,800,649,606,418,31,501,503,502,502,501,649,502,800,653,16,649,502,282,500,501,282,800,500,502,503,800,649,502,282,878,282,800,503,800,502,800,800,503,649,167,502,501,649,502,503,503,90,501,503,594,502,576,649,649,79,282,501,800,800,341,503,649,16,649,503,282,501,503,502,501,800,800,503,800,282,649,800,800,502,800,378,502,501,502,501,649,501,649,500,503,282,500,800,502,500,998,501,649,800,282,502,800,502,800,501,500,501,501,504,501,282,282,500,503,501,282,500,501,305,103,500,649,282,500,500,730,500,649,500,282,649,501,501,800,56,502,501,800,649,800,800,503,649,16,16,649,800,503,502,649,503,16,500,502,107,649,852,649,502,649,502,503,282,503,16,282,649,282,500,502,501,781,360,800,649,800,817,705,500,502,500,282,503,502,800,502,503,503,501,649,500,501,502,712,501,502,904,800,501,282,800,503,502,503,800,501,649,500,504,282,800,649,502,502,501,503,97,504,16,503,503,503,503,500,500,500,787,503,501,649,502,501,107,800,282,504,282,500,499,502,800,500,649,503,503,503,282,800,800,500,99,54,282,503,501,503,503,504,500,501,500,371,500,502,273,649,502,138,282,800,282,800,482,16,800,269,502,502,649,501,779,649,503,501,500,282,110,502,501,503,503,501,503,502,501,282,800,649,501,649,504,800,649,759,649,500,282,500,649,502,502,501,340,800,800,800,410,800,500,502,282,282,503,929,107,501,502,16,500,800,800,501,649,501,501,503,449,500,16,144,503,503,501,502,282,764,502,939,502,504,159,629,502,649,625,800,500,504,649,705,501,501,503,501,502,502,282,500,800,502,500,502,502,500,282,501,63,800,500,500,501,800,501,503,502,800,800,831,484,800,503,500,649,818,649,500,800,800,282,649,502,478,800,503,967,502,500,649,649,502,502,500,282,482,649,502,16,501,800,501,500,800,501,649,502,501,500,501,501,502,447,501,678,282,503,16,501,624,800,503,500,649,825,800,503,502,282,800,500,800,502,800,649,16,503,649,649,501,500,502,983,503,503,649,800,649,282,800,502,800,502,649,502,501,629,352,503,649,502,649,649,282,503,132,627,871,282,16,16,800,649,649,649,800,503,502,500,502,649,502,503,800,16,800,800,501,501,500,503,501,501,282,504,800,503,800,503,502,376,854,649,501,502,501,502,500,500,800,282,682,649,503,282,502,501,509,501,800,503,501,649,502,502,503,503,503,800,501,503,16,649,501,800,502,503,500,197,502,16,502,503,282,144,502,500,16,649,504,800,500,500,500,501,649,999,502,923,502,282,800,359,800,502,649,282,503,800,800,503,649,800,107,107,800,649,525,501,800,800,501,800,650,503,503,502,503,282,686,501,800,501,282,503,800,502,501,502,501,248,282,501,649,900,649,504,503,502,282,145,800,649,649,501,649,501,649,500,502,282,502,503,387,500,103,800,107,800,800,503,503,501,503,649,503,289,282,500,502,502,800,503,500,500,282,800,16,649,503,501,501,562,16,500,649,501,503,500,800,649,800,503,282,500,503,503,152,629,500,649,501,16,502,503,649,501,503,103,502,501,16,503,501,523,502,282,649,501,503,503,501,500,800,16,502,502,148,502,411,800,800,800,667,501,501,282,500,500,16,800,649,503,282,800,107,100,649,282,800,282,16,503,502,500,503,503,503,567,502,800,500,649,500,800,282,502,248,649,800,503,500,503,501,649,800,503,501,282,501,501,500,282,503,800,800,800,503,502,502,800,528,649,500,649,503,649,649,500,282,503,502,800,282,502,500,501,649,649,500,649,678,501,501,680,952,501,501,649,800,43,500,800,503,502,800,500,504,501,282,649,800,503,500,282,800,800,103,502,43,503,500,502,800,502,800,503,79,282,800,109,649,649,649,800,800,502,282,502,649,504,503,504,649,800,503,592,503,500,501,16,500,649,649,502,800,649,393,766,16,282,705,800,503,177,500,503,800,649,835,272,500,282,500,500,502,500,282,502,800,800,137,500,500,649,503,501,282,649,103,500,79,649,500,800,800,560,16,500,502,502,282,501,16,473,282,649,649,502,282,503,501,805,500,800,800,16,800,503,500,16,886,501,80,935,649,500,500,503,49,503,649,504,502,501,503,749,500,500,282,649,649,275,800,502,502,16,503,649,502,430,502,800,800,501,502,649,649,501,282,649,282,502,502,649,503,800,502,800,503,800,568,649,800,805,500,500,800,501,503,502,800,649,649,501,282,502,500,649,282,503,649,501,502,502,269,282,800,800,800,504,282,502,504,502,141,453,308,282,501,800,507,500,501,282,500,502,501,580,502,429,500,501,663,800,649,800,500,503,33,501,503,502,501,500,649,146,649,503,503,800,501,503,502,501,503,107,295,800,503,501,503,500,800,800,503,649,164,121,500,501,503,800,649,599,282,649,501,719,800,503,800,501,500,501,501,503,16,503,500,800,501,503,503,649,501,500,952,800,800,649,766,501,501,500,502,503,649,502,282,16,574,800,502,504,649,649,649,503,800,502,501,649,800,800,502,16,503,16,501,649,800,500,500,282,504,500,800,500,800,800,649,16,501,733,502,501,800,500,800,649,501,649,705,800,501,328,502,780,503,504,16,649,800,503,503,614,708,282,503,502,501,502,800,502,282,502,502,503,800,800,800,195,282,500,487,800,16,503,80,800,501,649,649,501,649,500,858,503,282,500,502,800,649,503,301,501,502,800,282,504,502,16,107,649,282,800,501,465,500,500,500,16,503,500,649,285,500,502,503,502,800,503,500,800,282,502,446,649,502,501,500,502,503,722,649,500,500,649,502,649,500,387,501,800,282,500,500,501,649,282,501,107,16,500,649,649,502,502,282,501,502,501,500,500,614,502,302,502,256,905,649,800,502,649,28,501,16,859,502,500,16,502,503,800,800,107,503,649,800,501,503,502,503,800,649,103,282,500,501,107,193,502,503,504,502,503,503,500,107,573,502,781,502,649,502,503,501,502,503,282,501,901,502,649,502,800,501,610,502,500,800,504,800,500,501,980,649,500,279,503,282,503,500,800,649,501,503,16,503,503,500,502,800,282,67,800,800,649,649,503,750,503,501,800,649,800,649,503,395,503,649,500,282,503,501,649,596,800,500,500,503,649,501,800,16,502,649,500,502,503,501,900,800,503,103,649,649,649,16,502,800,16,649,282,502,282,301,501,694,16,501,503,311,800,282,800,649,800,16,282,282,502,501,800,649,800,318,502,503,503,502,502,501,800,649,623,649,649,800,500,649,649,503,502,863,503,844,502,800,649,649,800,800,503,16,502,649,501,649,800,800,282,800,502,79,721,501,500,500,497,501,800,504,649,500,503,501,503,502,800,503,751,502,282,556,501,503,282,649,788,282,502,649,421,800,800,500,503,500,503,502,503,800,649,500,501,500,325,500,503,388,503,502,282,800,501,500,800,500,502,383,649,800,48,503,800,502,502,500,502,800,501,501,502,502,500,649,649,504,501,501,649,502,502,503,500,500,501,503,502,661,503,649,501,649,501,504,502,333,649,500,500,503,501,649,502,800,500,500,501,800,503,504,649,502,503,649,503,503,282,282,500,500,502,980,800,502,243,800,503,282,714,502,649,501,501,649,800,502,800,502,800,501,502,649,261,649,500,929,282,502,44,501,183,503,800,800,503,800,649,16,649,800,282,501,107,501,501,800,500,800,800,649,800,503,265,500,500,649,500,924,500,503,649,502,16,16,691,501,501,282,282,282,800,503,503,501,503,62,649,502,501,501,500,649,16,500,502,503,800,282,800,500,649,649,501,382,504,107,120,501,282,800,800,800,502,502,107,974,649,800,504,502,628,502,800,504,282,501,500,282,920,649,502,500,501,649,282,503,800,501,502,503,800,503,503,500,649,500,502,686,501,501,503,282,282,503,800,503,502,503,503,800,501,502,800,800,649,501,649,503,649,503,649,500,502,502,503,16,502,503,107,800,503,503,502,503,282,500,503,503,800,800,503,649,501,869,503,800,800,501,123,503,523,500,262,503,282,16,501,500,649,502,500,502,282,501,800,649,649,501,859,649,800,282,628,789,649,503,503,800,500,502,502,649,952,800,649,629,500,501,502,326,800,500,800,502,500,16,16,500,800,500,504,500,500,800,649,501,649,649,502,501,501,501,503,500,16,282,282,282,503,649,678,649,502,502,282,553,502,504,500,503,503,800,282,649,649,500,502,649,502,493,748,800,501,503,501,800,503,649,500,500,502,800,950,58,800,800,282,503,501,502,800,503,649,450,103,502,501,501,503,649,649,800,649,800,501,418,501,16,282,542,500,502,503,282,865,501,503,501,775,500,501,502,503,503,800,502,500,649,649,649,167,504,282,503,649,282,54,502,649,340,16,282,503,502,504,502,493,501,500,502,886,503,503,501,746,900,501,800,800,649,894,966,500,501,500,16,504,504,501,649,16,938,501,282,502,500,920,501,800,501,502,707,16,503,649,800,502,504,649,547,649,501,502,324,501,649,800,282,991,500,166,551,807,503,502,500,100,500,800,649,102,649,504,859,502,800,306,23,649,800,500,500,501,503,16,282,649,500,500,500,649,502,501,502,502,800,649,819,282,800,520,816,501,500,502,800,821,503,847,649,503,501,649,16,501,500,800,107,761,800,501,500,16,65,649,503,282,800,421,501,800,500,501,502,107,800,501,649,501,649,502,502,500,502,800,282,501,501,705,503,16,503,503,800,800,502,501,649,16,282,649,800,649,503,800,649,502,503,649,501,649,503,502,282,500,800,502,503,451,649,502,649,503,502,79,800,800,502,800,649,649,649,800,328,282,500,282,501,501,340,103,501,571,503,282,500,800,649,500,649,500,502,500,502,282,502,503,504,502,501,502,800,107,173,503,502,649,202,501,649,282,800,865,501,501,282,503,649,917,504,213,300,500,649,16,500,282,501,282,503,649,898,500,503,503,282,503,649,501,649,501,457,500,501,887,501,800,800,550,649,16,503,500,800,501,503,501,649,503,649,649,503,503,501,800,649,16,500,501,92,500,800,500,800,502,265,649,231,986,501,501,103,649,501,649,431,649,502,901,800,800,800,500,170,16,800,503,16,413,649,543,724,800,800,503,16,502,504,340,649,500,502,282,503,800,649,502,501,649,800,502,282,501,500,501,501,500,800,649,282,800,649,986,649,19,501,649,503,502,502,800,471,500,649,502,649,502,503,503,642,501,763,16,502,502,649,800,503,502,800,503,129,502,649,800,649,649,956,282,16,282,649,501,800,501,503,282,800,501,500,390,800,500,800,503,282,800,503,244,501,501,502,502,500,800,503,503,649,501,501,502,800,203,502,500,720,649,282,500,501,502,968,501,809,502,705,649,501,502,500,503,951,500,500,500,501,800,502,649,800,501,500,504,962,500,503,503,800,501,255,800,502,503,500,503,502,649,649,504,790,502,649,502,503,503,502,502,282,503,535,16,623,800,502,693,501,800,503,500,649,282,501,282,502,503,107,503,16,504,502,500,282,500,16,501,503,502,500,649,502,501,503,16,900,502,800,500,393,16,469,800,800,282,502,501,502,503,282,649,500,501,503,503,500,500,282,503,501,501,282,800,282,684,800,501,502,500,800,800,501,16,649,503,500,500,500,649,500,649,501,501,800,222,503,800,500,649,800,649,504,703,501,362,503,282,649,282,500,501,501,800,646,721,500,6,800,502,503,649,800,503,502,965,500,501,503,800,800,649,800,502,502,951,800,500,502,504,501,503,500,503,502,504,649,135,649,705,501,649,500,800,501,800,501,800,861,649,502,503,500,502,503,868,16,649,501,502,800,500,786,503,800,503,500,500,282,344,649,800,503,282,649,501,647,503,502,16,503,107,197,500,503,649,500,500,800,282,501,282,501,800,503,503,501,282,500,500,501,501,107,800,800,649,450,500,649,649,502,500,16,502,649,501,500,502,501,503,504,800,16,501,649,649,528,16,649,502,504,500,195,500,282,500,501,501,16,501,503,16,500,16,500,787,800,983,500,503,501,800,649,204,649,503,649,800,503,502,800,282,649,649,649,800,501,16,502,649,997,800,500,502,649,800,564,429,502,642,649,107,500,107,502,502,503,800,504,870,501,649,503,500,282,501,500,800,501,699,282,501,16,800,501,501,502,462,282,500,504,500,282,500,282,503,500,502,503,16,282,649,501,501,649,502,502,502,503,282,622,501,500,503,649,501,649,503,800,282,502,500,800,39,307,502,501,667,501,649,800,649,800,385,500,282,800,500,503,649,649,502,649,500,16,61,502,502,502,784,800,800,150,501,800,800,501,603,502,502,501,500,649,503,502,16,500,500,500,501,500,502,649,649,504,503,500,365,800,500,649,502,502,501,131,233,675,107,500,649,501,800,502,16,990,502,503,16,500,502,800,366,501,16,500,16,501,649,501,501,501,282,16,800,800,500,800,559,282,741,41,504,649,353,649,282,16,649,16,800,500,517,649,503,501,503,282,501,800,808,649,16,734,800,503,503,501,502,502,501,502,282,503,282,649,500,853,502,479,649,503,282,503,800,649,502,705,715,504,649,649,502,649,658,649,503,502,800,282,80,502,800,644,503,500,502,282,500,649,103,16,975,503,16,282,259,502,503,501,502,504,16,649,501,16,649,503,800,800,282,501,282,282,66,170,501,502,500,501,502,501,282,649,500,800,500,501,500,502,501,501,610,649,500,649,500,803,800,882,838,501,649,502,503,500,649,800,800,282,592,807,501,503,16,800,503,649,501,502,649,800,800,800,800,500,503,504,502,501,501,502,655,501,501,282,500,649,432,649,501,503,678,800,502,800,502,500,16,502,649,653,649,22,649,282,800,500,649,800,502,107,282,800,502,56,500,649,500,503,502,800,800,16,501,500,282,501,312,503,502,501,500,503,502,649,800,501,800,502,500,800,616,501,503,503,800,503,153,502,502,649,500,649,503,503,502,602,299,649,502,800,501,500,734,175,800,501,282,942,500,649,318,501,500,501,16,103,560,502,938,503,500,107,649,282,800,502,501,800,16,800,90,368,303,500,649,500,500,503,800,649,103,501,649,502,500,800,282,16,501,298,649,502,649,501,649,16,503,163,282,502,282,800,649,501,502,800,501,800,501,502,503,649,503,501,500,649,800,800,649,403,500,467,16,649,649,500,501,503,503,500,500,103,276,500,501,649,500,503,503,501,649,500,282,501,175,502,503,649,503,796,611,503,282,500,106,501,501,503,503,502,185,503,502,649,800,282,502,800,100,649,649,503,205,280,16,58,324,800,502,502,502,282,500,419,500,502,503,500,501,282,503,800,649,282,260,282,501,800,501,649,282,282,502,501,817,800,16,800,282,649,842,649,649,501,500,500,812,504,503,503,501,78,319,500,501,503,389,800,503,502,502,503,391,305,800,16,502,500,502,705,16,714,500,501,501,502,500,649,228,282,800,503,534,500,649,386,567,993,502,503,500,800,649,501,426,649,503,649,800,800,503,504,502,800,282,503,504,502,502,282,503,501,500,502,649,501,503,175,503,500,860,649,649,502,502,500,502,800,649,502,503,500,161,502,503,504,503,503,903,503,503,295,501,789,649,649,282,800,503,500,177,800,501,671,800,500,502,800,240,443,800,649,502,500,503,282,16,800,501,500,504,649,255,948,500,501,500,503,504,649,800,29,501,503,800,800,800,282,504,502,500,501,503,502,500,500,282,501,649,800,107,649,500,800,503,800,502,800,501,501,649,282,501,16,282,800,502,282,503,503,500,649,575,649,503,503,502,800,649,501,16,800,502,800,501,800,500,502,503,502,802,502,501,501,107,800,504,755,502,501,800,800,504,649,501,502,500,282,432,504,501,503,565,500,500,500,419,501,501,503,800,649,800,800,649,800,649,800,800,503,800,502,17,800,800,508,649,16,500,800,503,800,649,500,541,649,282,502,996,800,503,502,800,502,500,154,503,976,500,800,500,649,649,500,649,282,502,883,500,503,502,393,649,649,503,800,800,107,501,502,500,502,649,282,502,503,503,500,502,800,282,352,501,800,502,115,16,800,282,649,800,800,500,503,649,107,501,500,500,502,16,501,103,800,502,503,800,649,502,500,231,502,500,649,502,500,214,649,502,502,494,649,502,501,800,503,501,41,504,502,649,800,500,502,502,282,593,500,800,649,501,501,502,500,649,501,649,649,501,503,649,503,800,800,800,503,282,502,328,800,800,503,500,417,177,800,500,800,800,9,16,502,16,504,16,503,500,282,649,649,282,558,503,909,687,649,501,503,800,649,501,501,649,501,503,502,649,503,534,501,107,800,800,884,16,502,502,502,500,800,800,800,500,800,800,500,503,503,501,502,282,16,502,800,503,800,501,501,501,501,183,800,500,16,907,649,500,501,500,502,282,337,502,756,800,909,517,107,282,649,800,800,503,501,502,282,800,503,501,282,623,800,800,503,800,502,500,503,502,649,16,502,800,125,504,800,649,649,503,16,649,503,649,500,800,501,502,502,800,282,649,500,500,282,800,503,649,649,800,649,282,649,627,500,800,178,502,500,800,503,501,502,501,649,107,649,502,649,282,501,501,103,502,16,503,60,502,835,502,728,282,500,800,503,997,800,649,500,744,735,503,800,501,503,103,500,282,69,16,501,148,500,649,649,502,503,501,502,649,502,282,500,503,657,800,649,103,500,503,501,501,349,503,649,500,251,502,282,501,503,800,500,501,800,938,500,800,501,649,649,649,282,800,500,18,503,502,902,501,501,500,503,649,438,16,649,649,266,282,502,502,502,282,649,501,501,503,503,502,358,800,16,503,800,501,649,800,502,800,502,707,504,500,649,502,502,800,501,503,501,500,502,502,503,649,103,500,500,649,229,500,649,649,649,504,800,800,504,502,800,649,649,500,899,500,800,351,504,502,504,501,503,800,496,501,650,502,502,503,914,705,500,922,500,500,16,501,502,503,649,800,501,556,282,649,501,800,565,501,649,800,360,60,501,502,16,502,282,502,501,501,503,501,500,800,800,649,500,500,649,501,282,500,501,504,500,800,502,282,110,16,500,649,649,649,649,500,503,503,649,649,503,503,500,457,282,800,649,71,500,502,282,503,501,585,501,282,800,503,500,705,503,503,591,954,501,500,503,503,501,103,504,501,130,502,649,504,502,800,500,500,502,901,800,524,800,502,503,502,501,615,500,800,500,649,500,502,649,501,503,282,107,502,503,503,500,282,502,212,282,800,649,500,500,16,503,503,501,503,649,800,502,503,129,502,649,426,503,502,502,501,501,274,500,282,614,800,649,503,503,649,649,800,504,502,501,905,800,800,500,502,800,503,279,500,800,223,772,800,282,501,503,501,800,649,502,800,502,502,500,800,282,500,502,501,501,503,502,800,503,501,500,800,649,503,107,502,403,501,501,800,500,578,503,501,502,649,504,502,503,800,501,468,502,282,501,503,503,501,501,503,16,800,501,771,649,502,649,831,800,924,503,649,501,502,503,500,800,555,501,503,649,503,405,504,501,500,500,500,649,649,502,282,282,500,503,500,107,502,503,500,500,800,501,649,649,800,282,500,16,500,500,501,501,503,502,504,503,503,501,502,500,504,649,500,503,800,649,649,501,282,502,800,502,502,800,378,16,282,500,503,649,501,282,800,251,501,649,734,649,649,649,800,500,501,501,502,503,500,502,649,502,500,800,649,800,500,649,504,800,500,800,501,502,500,502,500,503,503,800,862,800,784,501,282,649,501,503,141,500,502,800,282,800,500,800,500,649,500,504,649,649,282,503,503,501,58,649,503,800,501,500,503,800,282,16,501,649,502,282,503,501,800,835,649,649,501,501,800,501,800,633,428,800,649,800,649,649,861,503,652,501,282,649,649,282,504,16,501,534,501,706,764,502,649,500,263,800,504,649,500,282,800,525,800,649,800,649,16,500,501,501,614,501,282,501,500,502,503,502,503,502,800,649,800,502,649,500,500,22,503,282,503,800,501,500,504,500,800,501,16,500,500,560,800,501,501,282,501,500,417,282,387,649,800,649,501,800,282,500,500,500,282,800,502,282,649,502,501,503,502,46,800,502,163,800,649,253,227,502,16,16,282,501,500,503,800,503,649,282,800,359,16,282,649,800,800,501,282,111,800,800,649,800,649,800,16,382,501,503,502,500,501,501,800,502,501,800,503,500,503,800,649,502,503,503,501,934,935,501,502,649,502,800,800,503,800,901,500,649,649,500,500,500,16,500,649,282,649,800,502,503,500,800,501,503,503,600,16,984,16,800,550,502,649,502,500,502,800,500,100,500,500,501,649,800,502,501,649,649,649,503,501,503,504,503,800,383,503,246,502,500,282,800,504,500,800,503,503,800,503,502,500,800,501,500,500,16,500,800,714,501,594,503,800,501,500,503,504,501,800,504,107,503,501,501,649,501,381,500,649,503,282,282,107,500,503,800,500,649,800,500,649,649,103,240,500,501,16,503,500,501,501,800,502,800,649,502,501,500,503,502,503,649,501,800,783,282,503,502,800,500,503,282,500,282,500,649,282,649,317,649,500,282,800,800,282,800,503,502,502,500,503,501,504,500,282,800,501,47,502,800,501,503,503,649,503,806,501,500,500,500,504,503,800,501,800,501,503,23,500,500,800,649,503,800,800,500,500,800,501,500,501,800,503,649,502,254,800,502,649,241,502,501,500,282,649,500,500,16,501,502,500,502,282,502,500,649,649,503,16,186,107,502,500,500,503,604,503,800,501,16,501,649,503,502,502,502,282,500,282,502,50,500,800,502,673,500,16,501,134,502,282,107,502,649,502,649,800,502,503,282,282,107,501,500,800,502,415,503,503,800,502,649,502,500,500,800,282,282,501,502,569,500,800,27,16,363,500,413,800,501,501,504,649,502,649,500,504,502,800,500,502,503,357,282,502,500,649,500,107,501,500,800,16,501,503,502,500,478,503,502,705,503,282,649,800,800,649,500,933,500,800,649,503,649,800,501,831,16,502,16,649,502,500,503,504,282,501,16,309,800,800,649,800,649,500,990,282,961,501,649,500,800,649,800,502,719,500,800,16,504,649,501,503,501,16,502,649,500,800,500,800,292,566,503,887,502,800,502,800,282,503,649,502,500,16,503,16,282,649,501,500,568,800,388,503,503,800,502,502,649,800,649,800,503,502,502,500,447,500,16,500,869,500,500,503,282,634,501,647,649,502,500,503,500,503,501,282,705,501,649,649,649,501,725,504,500,306,282,503,649,833,501,503,502,800,282,160,282,800,426,949,282,502,502,501,500,649,500,503,16,800,282,282,500,502,649,503,500,503,282,500,503,503,501,500,501,800,649,502,800,16,800,502,500,282,282,649,649,282,503,500,800,649,501,107,940,649,282,201,500,800,800,501,502,649,501,503,16,502,500,282,800,503,501,501,501,649,16,501,501,800,996,503,649,502,800,282,502,649,503,502,500,814,649,500,649,378,649,500,501,503,503,501,649,503,282,800,800,800,649,502,584,501,800,502,504,501,502,16,800,649,16,800,800,501,107,503,502,180,800,501,501,503,868,501,16,649,502,502,16,500,500,500,502,504,206,503,649,501,502,504,800,502,500,282,503,501,192,723,16,800,500,501,649,800,501,502,501,800,649,649,790,500,649,503,447,503,649,500,800,503,501,800,503,502,500,502,16,282,503,501,787,800,503,501,800,502,800,502,649,502,649,311,282,504,649,649,501,800,502,800,649,502,800,800,649,501,500,503,500,282,501,503,504,503,501,153,800,649,503,502,807,502,16,503,501,649,800,500,649,500,800,800,649,568,502,501,500,500,339,207,501,501,129,502,800,503,645,502,502,800,800,503,133,649,507,504,502,800,504,538,800,800,503,500,500,501,800,503,502,501,649,649,503,502,649,800,800,500,500,282,501,500,502,800,502,282,503,86,800,501,649,649,800,649,812,502,501,502,500,503,502,500,503,282,649,799,501,282,315,649,282,503,502,500,282,800,649,649,503,503,502,800,800,502,502,502,751,800,180,500,649,501,503,649,501,500,501,800,501,502,800,502,649,378,500,649,282,502,500,501,226,500,501,800,649,1000,282,502,502,501,500,260,612,501,107,649,500,282,282,502,500,500,500,902,502,500,503,800,16,800,282,502,501,502,649,800,649,504,501,800,800,503,282,391,502,649,649,501,502,107,649,501,500,800,635,16,500,500,500,655,800,500,503,818,500,500,502,649,649,800,500,800,800,503,649,503,501,502,800,501,530,800,500,331,500,952,501,500,267,273,282,649,649,503,800,800,500,800,501,501,500,501,500,501,649,503,501,649,282,504,500,503,16,500,649,502,500,608,282,16,500,282,500,905,282,500,503,501,501,501,79,500,649,649,282,282,503,503,500,37,501,800,501,800,503,502,503,649,282,502,502,649,754,501,690,501,501,800,500,502,503,502,502,800,502,503,649,282,500,503,649,502,502,649,649,500,502,501,107,503,500,163,502,649,500,320,500,500,837,503,282,461,502,501,409,501,503,500,282,501,501,800,503,800,502,502,16,800,800,674,502,709,800,645,800,649,501,502,500,800,503,501,503,500,649,649,649,500,800,282,800,282,500,503,500,501,503,800,501,503,800,800,501,503,502,501,501,500,502,800,503,500,800,888,500,503,502,502,500,649,800,800,800,503,649,501,282,501,282,503,500,500,649,501,500,501,502,501,501,649,501,649,800,16,800,800,406,800,504,295,649,649,282,500,502,800,800,601,800,503,503,649,282,16,649,503,501,503,503,800,649,502,501,649,892,649,503,500,595,500,800,800,282,500,800,16,501,502,649,107,502,282,502,501,501,800,500,16,877,800,498,16,800,502,501,504,282,502,500,502,800,601,503,649,800,282,502,500,649,503,502,649,502,503,502,800,503,502,503,16,643,649,501,649,503,649,851,800,501,308,500,282,503,500,649,501,649,282,258,500,800,502,649,649,501,503,500,649,800,501,800,500,282,503,501,649,501,502,503,649,339,800,103,649,649,503,800,649,503,502,290,282,502,502,282,503,649,464,502,502,502,800,800,107,168,501,503,16,800,501,503,800,502,501,501,500,800,649,649,679,649,649,501,809,503,282,755,502,467,502,500,649,800,501,719,837,686,800,800,503,649,502,502,705,800,503,282,502,649,282,501,501,501,503,649,649,555,503,649,501,899,500,282,800,502,500,282,503,282,615,503,649,500,503,282,501,502,800,503,649,502,800,649,500,501,294,800,596,502,503,649,500,146,282,282,649,500,733,800,503,16,502,503,501,649,16,501,649,501,501,502,500,800,503,500,500,500,471,16,282,503,649,500,500,502,800,649,800,503,282,649,649,295,500,649,500,501,714,500,501,503,502,501,649,885,500,502,800,502,501,649,501,503,500,501,649,501,800,107,500,503,502,500,341,500,800,503,502,282,800,502,503,502,800,844,500,649,649,502,503,800,16,19,503,127,510,503,503,500,502,501,500,282,502,282,501,503,501,502,282,790,502,500,649,501,649,282,503,502,601,282,800,502,763,282,467,781,503,282,282,503,501,501,501,649,659,282,961,282,708,107,97,501,501,500,503,503,800,16,634,148,46,502,503,800,500,501,501,649,501,282,500,503,500,800,800,501,500,908,500,649,502,16,502,649,503,282,502,800,649,800,501,502,502,500,501,881,503,500,107,302,501,503,500,649,649,500,800,503,501,501,584,800,800,500,500,502,16,503,501,800,502,282,503,501,649,448,502,502,649,502,502,103,500,800,16,800,800,800,500,501,502,361,501,800,945,800,502,722,502,500,501,503,800,501,16,480,500,16,501,500,504,500,503,502,501,501,79,502,503,649,502,649,800,500,500,502,503,502,500,500,500,500,800,649,501,504,282,502,649,100,800,500,103,649,800,502,502,282,649,649,800,800,649,503,649,282,501,282,503,503,503,500,503,503,282,500,282,800,502,501,800,500,759,800,107,649,500,800,361,501,503,800,501,503,887,16,436,502,16,389,500,502,501,503,501,500,503,388,649,5,500,107,502,160,501,501,282,385,503,16,800,503,501,16,800,800,791,500,800,500,282,503,502,501,649,265,649,800,500,649,294,501,649,503,503,503,502,705,501,147,282,500,655,500,503,501,282,501,502,500,308,501,190,500,501,555,144,503,939,705,800,501,502,502,503,500,800,800,500,649,501,500,649,502,649,501,282,800,504,649,503,107,649,671,503,800,944,500,500,501,501,504,503,731,503,575,309,501,501,649,502,800,502,504,800,503,439,16,705,649,264,649,16,191,502,503,16,502,282,503,502,860,649,500,282,800,125,316,403,649,649,800,500,504,800,503,649,500,500,501,502,800,785,500,649,539,519,649,309,282,503,502,502,500,502,501,502,501,370,800,649,500,500,649,503,503,503,800,502,747,502,800,503,502,503,503,649,502,828,500,107,103,649,16,503,282,649,800,826,259,501,16,501,649,500,503,649,503,664,502,501,503,282,500,836,503,500,887,649,502,500,500,503,397,800,504,553,74,503,500,282,503,649,800,800,501,501,503,502,800,800,503,503,502,501,16,357,800,503,282,504,503,959,503,500,502,282,649,800,502,282,503,502,501,502,500,279,503,500,503,649,451,501,866,169,800,500,800,502,282,502,816,649,649,503,500,503,800,988,501,502,501,649,503,501,500,800,501,501,503,649,283,501,503,501,501,94,282,649,282,670,111,649,282,60,501,500,500,649,649,800,503,502,649,800,503,502,502,500,464,593,649,502,501,800,800,500,500,16,503,501,16,903,502,662,501,800,503,649,503,282,447,500,502,16,800,503,282,501,800,800,500,649,282,503,800,500,282,752,800,915,800,282,501,503,800,500,502,503,800,502,800,502,501,649,282,398,777,649,158,649,649,500,649,649,649,649,282,504,282,907,736,649,500,501,500,282,800,649,504,16,458,16,502,501,826,501,282,726,42,502,500,800,503,800,282,504,16,501,951,503,501,800,800,16,649,501,503,931,496,500,502,500,649,502,502,260,807,103,500,500,800,500,523,501,224,502,649,502,502,500,500,282,282,800,500,504,502,502,649,800,500,800,649,649,649,649,649,658,16,800,649,502,503,500,649,282,503,503,649,649,502,649,649,503,995,503,800,282,502,649,282,649,500,503,649,503,282,282,215,649,502,503,800,500,503,800,282,502,500,282,502,649,502,649,800,800,502,500,365,800,800,500,502,503,944,500,504,740,501,107,282,800,103,989,16,800,501,16,103,500,503,800,501,649,500,282,500,503,502,502,500,501,282,502,649,502,501,431,501,501,16,649,503,111,676,503,938,502,503,649,800,503,503,649,800,501,262,133,502,503,500,800,500,500,800,501,649,649,501,649,502,800,500,800,500,649,502,500,501,282,649,649,503,502,147,649,128,800,501,503,501,504,500,456,500,649,500,510,800,503,613,355,510,632,503,503,501,24,501,649,800,502,501,16,800,502,611,649,649,727,649,107,649,282,649,317,503,503,649,501,649,500,16,500,500,503,502,502,800,322,800,649,743,282,282,800,16,16,503,370,503,649,503,500,501,282,503,16,504,503,501,502,500,103,500,501,649,503,500,282,501,503,649,502,649,502,503,649,760,674,282,502,500,649,829,503,282,649,500,282,504,16,800,649,282,500,500,500,282,649,800,501,833,649,697,649,649,800,501,800,502,649,502,649,649,501,649,800,107,994,502,503,345,502,501,800,206,447,282,531,800,615,865,504,282,502,179,139,203,500,425,282,501,649,500,800,16,503,282,500,501,800,158,16,800,800,800,504,281,649,649,503,500,282,649,107,500,800,504,282,503,503,134,800,800,500,800,800,800,500,502,502,503,503,16,501,800,282,500,649,503,282,649,501,502,503,500,500,500,502,503,500,282,500,114,649,800,501,500,282,503,501,426,282,500,503,502,502,502,16,649,800,503,500,282,501,282,800,501,501,503,282,502,503,501,649,503,502,501,765,282,503,500,805,500,16,500,500,892,500,16,282,282,501,103,500,503,503,502,743,501,290,500,282,502,503,501,501,503,800,5,800,502,209,501,502,504,649,502,649,425,420,649,945,503,649,800,500,800,502,503,282,502,800,800,500,503,282,501,503,274,649,800,735,282,501,501,16,502,282,800,500,501,683,502,502,282,282,16,501,473,501,282,502,502,501,800,503,501,500,503,501,649,649,282,501,649,503,649,626,649,502,282,800,503,800,500,800,501,282,500,503,649,800,466,501,502,501,16,800,665,502,504,649,800,16,503,501,500,503,502,502,857,649,502,170,997,502,503,282,649,121,800,800,649,502,649,649,877,649,649,800,649,503,649,800,500,503,897,649,282,503,282,501,649,800,953,500,501,500,501,800,649,502,801,649,502,500,979,501,282,503,63,501,501,503,282,500,107,800,500,501,800,502,606,502,282,649,665,503,500,500,282,649,282,649,501,649,502,501,500,502,502,800,500,234,649,503,282,501,649,500,649,800,503,282,503,649,362,16,503,503,282,800,649,501,147,16,282,800,503,501,500,501,502,503,501,502,649,500,503,502,500,800,763,503,649,501,185,500,16,649,800,501,690,107,503,282,800,800,500,503,488,649,800,501,774,502,649,404,500,282,500,800,16,503,800,501,500,504,503,500,503,135,502,501,502,282,502,649,503,724,500,503,503,800,494,282,501,800,500,503,503,503,503,509,500,501,500,189,282,800,16,800,6,501,501,503,504,502,929,107,800,428,501,500,800,500,282,503,649,355,501,502,502,500,502,503,501,90,500,501,503,649,800,649,649,800,649,502,500,238,649,800,502,501,502,546,501,800,800,879,502,234,503,503,942,649,501,282,649,501,16,800,800,503,503,800,282,282,500,503,502,282,649,800,503,501,282,800,800,649,768,503,398,643,800,501,501,800,649,79,503,650,503,649,501,500,649,500,161,800,500,500,502,800,502,649,500,107,502,501,282,501,503,500,501,502,500,649,270,649,502,503,502,649,16,504,502,501,503,503,800,16,504,501,500,649,488,501,501,502,232,800,500,500,500,649,800,649,184,502,568,282,503,503,500,500,501,800,500,649,501,500,695,503,500,501,649,500,502,500,502,503,649,649,361,501,501,743,800,800,501,649,282,500,501,866,502,649,503,868,500,503,54,906,500,800,16,503,739,500,500,282,500,16,932,502,500,501,332,501,16,501,800,502,539,502,649,16,649,501,502,282,501,502,16,649,501,688,427,500,503,360,800,649,500,502,282,502,682,500,502,72,501,502,800,800,503,500,649,504,336,988,502,705,501,500,800,800,16,500,791,800,16,500,500,655,800,503,504,282,502,282,502,800,503,649,500,500,503,500,501,502,800,502,800,501,774,501,43,503,584,502,502,500,504,649,502,649,205,503,503,649,800,502,500,800,503,503,800,356,500,501,282,503,16,800,500,649,500,501,502,503,800,282,649,500,500,503,501,503,501,502,800,503,669,502,501,503,649,800,282,502,501,328,649,800,92,503,503,500,16,649,503,502,501,649,500,503,502,160,282,800,501,501,103,573,501,719,502,649,502,918,649,649,503,649,649,500,500,800,501,800,501,501,500,649,500,500,504,800,649,504,800,502,649,503,649,502,501,501,503,502,501,260,504,60,501,500,282,800,503,502,503,649,800,649,800,16,649,649,372,500,649,800,282,649,503,800,501,501,649,676,502,500,649,501,800,350,800,502,500,502,800,502,649,501,649,501,92,501,501,502,16,800,500,726,501,649,503,16,649,649,649,282,282,500,800,649,500,649,941,649,501,649,500,503,282,224,500,503,649,502,800,500,502,500,503,649,500,501,503,501,800,503,649,502,501,16,502,503,649,649,800,500,834,649,501,619,502,800,503,282,500,208,16,259,282,501,104,501,649,16,502,501,227,649,500,649,800,649,501,649,501,503,282,502,487,500,502,800,502,62,501,500,501,282,503,500,649,800,503,501,649,225,649,501,503,502,649,282,502,16,501,933,909,501,800,500,773,500,207,800,800,501,500,503,800,649,503,504,16,501,500,282,649,503,500,838,500,556,16,246,504,649,501,282,503,503,501,500,501,649,185,501,16,21,500,103,503,503,649,502,649,500,466,503,800,503,500,190,500,503,855,800,504,282,503,502,132,649,500,503,502,800,892,800,966,502,270,282,503,61,501,713,649,282,503,649,500,398,16,800,503,649,800,800,992,502,503,503,16,500,503,282,731,500,503,194,502,282,503,220,503,800,502,649,282,282,656,504,502,800,500,501,649,800,501,282,103,502,503,800,503,500,501,503,503,502,500,503,282,800,649,500,16,649,500,801,502,120,500,504,800,800,800,649,800,503,800,504,502,501,573,500,504,282,503,503,800,502,339,500,282,800,800,500,800,282,502,282,282,649,501,800,504,800,502,500,282,502,500,500,502,282,649,501,501,649,393,501,720,502,503,500,800,16,500,501,16,800,414,800,503,649,555,501,501,501,103,510,500,500,502,501,503,529,503,649,502,973,649,282,800,171,501,502,16,800,502,800,649,501,649,282,501,16,503,501,282,107,649,649,649,800,16,507,503,503,107,501,500,501,500,800,504,501,649,503,800,503,649,800,800,800,502,282,500,649,501,16,503,500,606,503,649,502,282,503,649,16,649,800,504,16,16,503,193,501,503,649,28,388,800,800,128,16,647,501,649,175,500,282,282,16,107,551,502,504,503,649,502,500,649,649,24,800,282,800,743,919,503,800,502,886,16,649,16,649,800,503,501,501,502,502,649,500,649,502,282,560,502,800,501,145,800,649,501,282,501,500,502,800,502,501,500,16,649,950,282,649,501,502,374,503,503,757,964,501,482,500,282,503,501,140,502,282,800,502,501,500,503,800,500,501,500,503,503,649,282,503,500,282,500,502,649,272,500,501,502,500,503,503,649,501,649,503,503,500,371,503,649,649,212,16,289,501,501,649,500,282,649,503,502,345,649,539,282,649,649,503,500,107,502,501,363,85,66,649,282,649,291,500,503,502,800,502,800,504,443,3,282,800,800,500,501,800,649,502,800,503,501,502,649,800,649,501,16,649,649,743,501,500,649,800,503,800,85,556,800,649,649,502,502,206,649,282,503,649,502,195,649,919,503,800,503,501,282,502,649,270,501,485,282,649,502,502,501,501,501,800,800,501,282,501,501,649,649,504,500,193,800,500,38,501,890,705,16,989,912,503,502,500,649,649,503,503,500,800,500,800,501,503,500,943,501,667,91,502,282,107,503,282,502,800,501,800,501,501,18,500,501,500,504,503,807,107,16,266,501,501,649,500,103,800,721,649,502,800,502,500,503,649,800,502,214,502,649,503,503,800,502,975,503,282,501,500,503,282,501,274,194,800,501,500,444,800,973,649,501,500,500,6,503,501,500,503,693,501,500,501,502,854,16,501,695,103,282,500,502,503,753,540,502,501,683,162,818,649,282,800,649,502,502,501,236,500,649,649,27,501,501,59,503,649,282,502,501,649,807,649,800,800,500,501,238,282,649,501,649,107,888,282,500,800,501,503,500,503,282,503,501,503,501,502,538,725,501,500,16,502,503,504,500,908,500,649,503,500,800,649,533,282,800,800,502,649,691,500,959,500,539,504,649,800,277,502,503,800,501,800,502,500,282,282,800,501,502,649,502,800,800,502,503,510,500,282,282,649,503,324,500,500,503,403,800,282,500,24,649,500,500,649,501,649,503,649,502,501,649,501,503,502,649,502,800,503,503,500,502,16,500,282,500,501,503,502,502,282,504,502,503,649,501,353,649,503,800,503,501,402,795,500,649,500,282,502,98,501,502,500,501,502,500,501,800,503,649,649,500,399,37,649,282,367,502,107,502,501,500,500,649,503,503,649,649,649,500,649,649,282,649,235,649,649,800,500,500,649,503,800,482,503,800,502,500,463,649,500,649,500,501,649,503,839,500,501,459,649,503,649,367,800,800,714,800,500,800,500,501,282,502,649,500,502,282,800,502,501,502,649,503,16,503,302,800,502,502,282,800,16,501,536,282,500,500,107,800,500,503,709,800,649,502,785,649,649,649,282,863,502,800,503,800,282,649,16,501,503,60,649,282,503,918,500,16,800,800,502,500,647,502,500,649,602,501,169,502,504,501,502,504,501,500,649,16,16,503,800,504,800,501,649,501,500,502,186,503,501,800,800,502,501,649,503,282,65,649,503,501,576,501,502,500,502,649,500,503,503,502,181,16,501,500,282,500,649,503,502,500,705,429,649,800,649,502,501,502,649,503,503,649,503,501,502,649,144,503,649,282,500,503,649,503,501,502,649,502,501,282,501,501,800,800,503,800,800,501,800,502,500,800,501,501,649,503,800,282,800,108,865,649,282,502,149,500,501,500,16,282,503,649,503,800,308,282,500,500,103,107,800,800,502,503,503,502,97,325,795,503,649,800,501,500,502,501,503,500,503,16,442,16,649,649,503,282,295,649,503,800,800,502,503,503,649,500,705,800,501,503,672,800,649,649,282,649,503,16,503,800,500,649,464,16,649,501,184,501,800,502,501,503,800,800,282,800,800,16,806,800,800,649,501,16,503,503,649,501,107,16,504,649,800,501,649,16,500,800,282,501,649,503,282,502,800,282,862,282,846,503,487,649,694,501,800,718,800,504,282,501,282,501,500,800,892,649,800,501,502,503,503,501,502,502,807,28,16,345,502,705,503,504,100,25,503,788,800,502,302,800,800,16,502,649,503,502,605,500,800,800,502,53,502,500,107,501,649,503,500,282,282,502,649,502,649,649,502,649,649,501,800,500,502,502,502,800,503,604,500,486,500,282,649,504,502,891,500,503,503,649,800,500,502,503,538,282,498,502,500,503,502,800,500,501,502,800,500,501,503,501,501,649,162,649,403,501,282,318,503,501,500,16,579,649,502,501,558,500,502,649,503,501,502,296,502,502,500,500,501,649,500,503,503,504,503,800,800,502,500,500,503,800,503,484,16,502,503,501,502,503,282,16,501,649,800,500,502,500,502,800,503,649,502,502,800,800,501,649,503,800,503,800,800,800,282,649,65,649,649,500,800,649,501,282,503,500,649,503,501,16,800,500,503,551,502,708,800,501,500,502,503,235,500,754,501,502,107,500,500,503,502,800,16,800,503,103,800,500,649,502,502,501,933,231,502,800,432,500,500,57,16,800,500,501,500,800,500,502,502,312,503,800,502,800,509,800,649,502,502,649,502,500,107,800,282,282,649,800,939,501,662,800,502,500,835,920,128,649,947,502,503,503,503,137,9,503,503,282,501,504,649,16,502,282,800,800,282,502,800,503,501,649,782,800,282,501,315,502,649,502,649,503,284,800,503,500,503,501,649,282,649,503,501,501,500,676,103,649,16,502,503,502,282,503,800,501,914,503,800,502,649,501,282,889,649,500,16,20,800,857,503,503,800,502,952,500,282,800,502,199,501,79,649,502,500,538,800,500,501,282,649,502,502,503,103,500,503,800,500,503,16,503,503,800,501,500,500,503,504,860,500,501,208,103,500,16,501,502,800,502,501,501,503,800,800,502,504,503,502,649,501,649,501,645,282,503,502,600,503,282,503,800,501,503,502,800,800,501,502,942,649,503,503,503,500,800,503,502,282,501,635,502,100,501,649,503,800,503,800,649,240,649,800,502,501,282,500,800,566,503,503,501,800,578,728,500,454,855,282,800,502,501,501,500,502,501,16,502,503,757,504,501,521,649,649,503,500,649,501,500,649,503,502,649,16,500,929,500,994,501,501,176,503,503,800,503,649,502,317,501,649,16,503,800,649,800,800,503,282,502,501,58,800,872,500,502,155,502,82,500,500,800,282,214,502,503,501,503,501,502,649,501,649,930,61,176,501,800,282,800,502,282,504,503,503,502,502,501,503,649,503,503,501,502,504,500,649,262,503,503,282,500,502,800,800,800,649,649,500,500,649,649,501,500,502,502,800,503,500,502,503,807,555,800,649,282,503,500,649,501,649,800,502,800,502,501,282,800,503,800,282,763,649,649,502,649,800,800,16,385,649,503,502,800,503,144,502,103,755,501,388,503,500,16,872,503,502,500,501,503,503,649,503,800,500,500,503,541,500,649,503,502,500,825,500,649,649,501,282,503,503,413,503,800,800,800,552,800,502,500,503,92,503,502,423,502,500,502,501,501,500,501,649,800,800,502,502,503,889,282,501,503,502,501,649,282,504,800,118,503,503,502,649,502,800,649,502,503,649,282,282,328,503,500,502,503,174,800,649,154,276,500,649,502,502,16,800,282,502,800,366,504,500,503,501,649,503,501,503,502,282,502,503,427,800,800,800,500,502,500,502,501,800,935,800,649,800,502,501,502,501,502,700,335,649,502,503,649,500,504,800,503,649,502,504,501,503,500,503,500,282,501,503,502,501,16,503,500,800,500,502,502,800,500,501,282,282,503,500,501,282,500,183,502,501,503,649,503,501,500,503,649,107,501,500,796,500,649,501,502,831,500,501,502,502,25,502,282,502,480,500,16,800,503,800,800,503,282,282,501,500,501,649,501,282,502,501,500,501,16,501,154,503,800,503,500,500,800,800,800,282,649,500,502,282,649,502,282,800,501,500,649,502,500,502,282,502,800,800,649,282,501,677,427,63,500,502,767,503,16,649,694,282,500,800,4,503,282,800,282,500,501,501,760,502,800,503,16,650,107,501,503,504,503,500,501,503,809,16,800,800,649,907,16,500,649,500,800,800,16,16,500,649,501,310,502,800,800,649,501,500,500,501,504,501,500,800,502,771,649,500,500,503,502,500,500,501,649,649,649,970,502,502,484,268,503,394,500,503,502,503,501,800,500,502,501,800,501,649,501,283,800,503,502,502,501,501,800,505,649,649,500,502,282,649,669,103,800,75,503,501,503,800,500,16,282,800,800,135,649,501,780,806,800,649,500,500,800,503,502,649,516,501,501,800,500,502,502,282,501,503,500,502,500,503,800,800,800,500,503,503,649,500,502,500,649,807,501,800,503,800,649,282,504,501,501,800,19,502,282,503,649,787,649,503,504,500,503,705,500,502,501,649,649,500,500,500,561,500,501,800,503,282,500,250,501,503,500,501,16,503,567,503,649,502,503,800,16,500,170,502,502,502,800,501,503,501,502,16,501,500,479,504,713,501,502,503,500,504,649,282,800,502,500,500,703,502,603,501,649,503,501,282,800,282,501,282,502,649,502,282,503,282,500,502,502,724,800,500,649,649,501,800,649,536,131,502,500,649,500,282,649,503,800,649,800,486,503,500,800,262,649,107,501,282,500,228,501,703,500,502,501,649,800,282,502,649,500,649,500,500,282,501,704,282,502,502,331,503,503,547,500,500,502,501,500,500,500,649,502,800,500,282,319,503,800,812,503,800,103,16,899,503,649,502,500,800,803,502,649,649,10,649,500,500,503,501,800,16,500,503,368,800,504,500,503,977,932,503,317,960,501,649,649,502,503,776,503,928,501,765,500,501,649,501,500,501,503,500,649,649,501,370,502,649,501,800,501,502,649,501,649,504,502,503,800,501,800,502,501,504,501,779,503,502,501,500,565,501,500,282,502,800,800,500,502,500,501,649,16,502,649,500,68,502,500,503,500,503,800,800,598,800,503,501,16,503,501,905,501,500,501,502,501,800,649,800,111,649,500,501,282,649,282,100,649,501,649,500,800,649,500,500,503,820,502,800,649,501,501,649,503,62,502,103,500,16,501,500,502,282,502,800,282,500,502,649,500,800,501,501,500,502,649,501,282,649,501,853,649,503,503,16,649,800,16,502,502,103,800,501,501,503,474,500,282,503,500,33,23,649,232,823,319,503,800,500,502,502,595,636,501,500,500,107,800,453,503,500,800,503,975,500,649,649,649,16,666,649,282,501,774,802,500,503,800,800,16,502,502,912,500,502,503,800,501,503,502,502,502,501,502,500,503,502,501,16,502,363,503,500,504,501,502,282,649,649,502,503,500,502,502,513,500,800,107,503,800,500,500,500,800,800,501,501,503,501,501,282,502,503,649,649,501,503,502,16,800,860,500,503,282,649,503,502,503,500,503,132,500,282,649,800,649,16,501,16,317,800,800,800,500,503,502,282,171,502,503,503,800,16,16,500,85,503,282,510,553,16,500,501,282,381,503,649,800,500,501,800,503,1000,500,500,504,800,501,500,16,99,504,503,941,729,649,282,649,447,500,503,467,800,503,664,503,282,282,16,503,501,800,503,649,800,500,926,503,503,502,649,172,649,107,500,800,604,501,503,649,649,763,723,504,502,500,800,502,800,501,500,500,282,909,649,800,501,800,501,500,501,282,66,500,501,282,649,500,502,962,800,649,502,502,501,649,533,503,500,649,800,503,282,502,16,649,502,800,800,800,500,800,503,503,626,16,800,501,502,502,649,502,800,500,501,616,500,501,548,501,800,800,503,502,16,502,503,500,16,503,282,41,500,800,503,528,501,502,502,800,282,649,500,503,501,502,500,501,282,501,501,800,649,501,282,800,64,502,16,566,504,502,502,103,502,649,282,16,649,501,282,649,649,649,503,800,649,800,503,649,282,503,502,282,501,500,800,503,486,852,502,649,809,282,35,16,503,649,501,503,500,501,500,501,807,800,502,16,500,866,502,500,501,502,503,503,649,503,282,800,282,500,800,500,552,503,500,800,649,282,994,649,82,282,574,503,503,412,500,504,282,502,500,800,500,503,974,501,501,502,364,501,231,390,502,500,282,501,503,800,649,282,16,649,500,501,502,282,649,501,500,501,282,501,591,500,502,800,450,16,649,649,167,503,16,800,774,282,495,503,500,649,503,800,536,832,501,502,500,501,649,807,501,500,503,386,764,282,649,800,503,649,501,709,649,502,800,501,800,282,503,501,649,800,649,800,800,800,503,502,500,501,503,153,800,653,500,788,503,501,649,500,649,282,800,800,107,500,510,500,649,782,504,800,16,502,500,500,503,649,497,649,649,800,501,473,756,649,649,649,502,800,560,800,502,282,501,500,502,649,500,207,503,502,503,646,502,502,16,502,649,501,649,501,501,501,282,502,282,504,502,500,16,501,800,715,800,500,503,68,16,649,800,502,500,800,500,649,502,504,16,500,503,537,502,16,649,500,772,502,500,502,700,504,500,800,502,800,501,800,502,500,649,649,475,649,568,501,800,800,503,500,501,501,503,282,500,500,800,649,503,503,282,649,501,16,649,501,649,800,503,282,503,871,500,501,282,685,502,502,501,282,500,500,503,503,649,503,282,649,282,846,503,800,923,501,649,649,649,800,501,649,501,800,503,649,649,501,503,649,502,502,800,282,282,800,800,800,800,282,800,500,800,502,500,282,502,16,649,500,800,282,16,16,500,649,503,282,501,501,501,500,502,502,907,500,502,16,800,100,800,501,649,500,500,800,504,682,649,500,698,503,502,503,16,500,649,500,502,521,500,800,500,16,503,503,502,800,500,282,502,504,501,294,800,503,503,649,501,649,282,542,282,501,503,282,800,282,500,485,500,500,649,501,800,500,282,282,558,912,16,31,502,649,500,887,103,282,502,800,649,649,800,800,810,500,501,500,502,800,500,502,503,503,503,503,800,282,501,649,502,502,501,503,502,108,500,800,502,503,649,649,500,16,501,649,500,16,800,501,503,649,503,503,503,282,502,502,800,503,618,502,800,657,978,503,500,800,503,501,761,649,800,502,502,502,504,981,500,502,100,501,501,502,504,502,781,502,282,500,800,500,800,800,500,282,501,649,502,800,502,800,649,282,649,869,503,583,649,282,282,149,502,649,502,777,500,502,500,502,649,501,800,501,147,649,503,800,500,502,282,800,501,430,410,16,800,503,649,800,501,503,500,500,502,501,500,664,503,503,502,502,503,800,501,443,503,282,503,503,501,800,800,501,447,649,800,503,501,503,16,800,501,649,500,501,800,807,67,800,282,649,502,16,500,846,500,503,503,800,503,800,800,800,649,502,800,503,724,800,800,800,502,649,501,622,282,82,500,800,503,282,502,800,800,649,649,503,502,500,501,501,649,800,500,502,502,500,503,503,545,500,502,649,500,500,503,501,501,501,503,282,500,502,500,501,800,500,715,502,649,502,501,501,501,16,103,500,500,314,649,16,649,500,501,501,67,503,500,501,800,800,502,500,500,502,503,100,160,800,501,500,501,786,502,800,16,503,502,501,501,16,500,16,501,282,649,503,185,503,282,502,16,502,501,282,16,502,503,649,500,501,800,16,503,649,649,503,501,649,649,110,501,649,502,800,504,501,500,501,800,503,649,500,800,282,503,649,16,649,501,800,503,800,501,800,502,308,504,502,501,358,500,649,502,500,282,668,133,659,503,503,684,500,501,502,501,827,649,501,649,649,649,800,282,502,649,88,800,107,503,800,503,800,157,501,800,502,713,503,502,649,503,282,503,13,503,502,501,282,503,504,502,649,501,282,649,16,700,800,649,500,500,649,503,502,800,649,502,649,16,503,649,502,500,500,78,800,705,501,651,649,503,800,500,501,800,501,800,503,501,503,501,282,501,649,501,503,289,501,16,500,502,16,500,502,501,191,634,666,16,500,502,16,16,501,502,503,500,503,503,192,503,282,800,503,649,502,271,502,500,16,502,282,503,649,649,503,262,501,502,503,16,501,400,502,649,502,501,800,581,16,503,107,303,502,502,502,503,800,800,649,501,500,366,501,806,503,500,649,649,46,501,800,503,649,501,282,39,649,878,282,800,387,500,500,16,649,282,503,500,503,282,282,502,502,501,503,504,503,504,16,774,705,502,500,365,502,500,800,800,502,282,504,502,256,501,500,633,500,501,800,503,504,503,129,500,649,502,16,503,502,649,800,501,501,503,282,502,282,502,984,800,503,649,800,16,946,502,500,500,500,484,167,503,649,103,503,649,501,501,649,649,500,502,501,502,930,500,800,503,282,503,500,500,500,500,501,501,649,502,501,237,492,649,275,649,800,574,502,800,500,504,503,502,502,357,502,503,800,501,503,649,500,787,502,501,800,502,503,649,502,501,501,649,800,502,503,500,649,107,500,501,502,503,282,16,501,500,881,800,800,282,503,531,500,500,2,282,560,800,500,843,103,502,500,717,800,500,503,929,107,500,649,503,503,649,500,800,502,500,649,501,628,500,501,649,504,649,501,500,678,496,649,500,503,500,649,500,500,500,800,800,649,282,513,282,501,800,500,503,501,956,649,649,501,107,541,502,546,649,677,282,800,622,502,649,790,503,649,503,185,500,547,800,502,503,500,282,56,800,800,103,504,800,282,800,500,503,481,561,800,503,16,500,800,503,649,16,502,501,649,649,502,559,800,502,107,649,282,16,282,503,444,820,502,502,282,500,502,282,503,649,282,800,502,800,800,649,649,501,500,800,503,500,500,500,343,501,800,16,500,500,103,800,500,587,502,502,503,282,649,500,502,503,649,820,503,496,501,584,649,801,500,649,807,500,503,800,282,800,649,800,502,500,649,502,649,503,457,500,502,503,16,107,503,777,503,504,500,503,501,16,982,503,649,282,800,501,503,282,16,282,503,500,503,800,503,503,939,649,800,800,503,237,16,282,502,500,501,16,702,503,501,503,800,649,500,799,501,16,649,554,501,695,649,649,361,502,282,649,649,501,501,504,649,800,500,502,282,500,800,800,502,800,333,649,501,501,502,239,282,501,501,649,501,500,800,501,649,501,500,908,500,500,502,501,502,501,501,501,502,282,604,503,504,649,502,500,800,503,503,501,502,282,800,501,649,797,502,649,649,500,503,800,649,501,502,500,646,503,502,649,372,504,649,502,649,503,800,800,697,503,282,282,800,500,500,649,503,649,354,501,501,501,649,502,800,503,503,198,800,500,800,501,649,962,282,501,282,503,500,503,503,500,500,501,502,16,502,501,649,649,649,649,800,649,503,649,502,501,500,503,503,649,503,503,500,649,800,503,501,800,503,800,16,780,631,96,103,560,502,503,501,649,897,649,800,503,502,500,501,649,501,501,501,16,503,503,649,649,502,649,500,503,501,800,282,649,770,500,649,502,502,800,503,501,282,800,16,503,800,16,282,800,282,649,171,800,502,800,800,501,800,500,800,500,502,503,807,503,500,502,500,500,340,501,502,649,800,649,649,500,16,516,282,501,503,165,881,800,649,350,501,800,500,800,16,502,502,649,649,503,503,649,500,649,448,96,503,501,693,501,500,513,817,649,282,690,504,649,649,501,503,502,502,501,501,503,729,800,649,502,501,649,282,800,800,993,503,502,800,254,504,502,195,983,502,425,502,502,500,800,649,735,503,282,504,649,503,501,107,502,502,16,502,501,501,500,501,649,372,890,502,501,503,501,649,500,500,500,800,800,503,502,800,800,649,502,649,501,501,500,500,800,501,800,502,500,500,503,503,502,82,503,649,500,800,503,504,282,649,501,500,501,501,187,800,503,649,800,501,649,800,503,800,64,107,800,649,502,502,500,503,649,282,501,16,649,500,501,500,502,501,282,500,502,800,504,503,502,500,155,800,500,649,281,800,899,428,800,663,501,649,170,501,501,649,500,929,176,867,500,649,800,455,800,95,98,282,153,887,22,500,282,16,800,800,282,501,282,502,502,649,503,800,282,502,500,501,501,501,502,503,502,800,649,649,800,503,832,502,579,501,800,800,501,502,649,503,503,800,501,282,649,649,502,504,503,501,649,500,500,500,502,649,500,500,103,500,649,800,502,500,501,707,503,501,500,501,649,705,503,800,500,304,448,649,800,504,800,500,500,503,500,502,503,107,244,800,503,502,649,503,635,16,385,16,503,501,502,544,800,502,16,500,800,113,649,282,502,800,503,800,649,282,800,502,500,982,504,282,500,503,16,502,501,503,186,649,705,501,502,16,649,497,649,800,559,500,800,501,34,503,503,649,282,730,503,282,282,692,502,501,649,282,303,190,501,502,501,501,37,800,503,500,779,649,503,500,649,500,501,649,16,432,501,800,500,800,282,501,282,501,503,649,800,501,504,16,501,649,500,502,502,503,502,649,719,800,501,503,501,503,554,649,800,800,500,313,649,502,668,502,925,502,800,502,649,502,503,141,521,705,16,503,503,39,501,649,800,500,800,504,800,282,649,182,8,503,501,500,649,649,501,713,500,649,503,503,649,800,503,501,16,800,500,503,501,649,649,501,503,503,649,800,502,503,502,504,649,501,502,649,649,649,503,502,500,13,503,501,504,211,503,503,800,500,800,800,502,500,282,800,16,800,501,800,16,800,500,649,503,807,500,501,759,282,502,503,500,503,705,800,16,500,501,635,503,504,690,503,103,800,500,502,16,500,800,107,800,103,16,502,503,500,800,800,503,649,800,282,500,800,277,503,503,649,502,501,501,482,649,649,57,503,103,500,420,800,282,502,500,282,649,649,503,502,649,800,501,504,800,927,800,500,282,16,504,503,838,500,502,649,963,503,500,500,502,282,501,502,800,502,111,800,649,501,500,501,649,649,502,717,503,502,107,800,501,272,649,503,501,283,251,502,538,800,503,503,500,501,649,503,501,503,502,500,800,800,800,697,502,500,500,503,282,404,501,16,503,16,501,800,502,503,502,800,501,419,503,502,800,502,501,5,502,247,800,649,500,827,500,16,800,500,503,501,103,649,262,502,800,97,40,800,501,800,501,649,847,649,500,502,649,282,501,800,605,649,756,649,263,501,401,500,500,502,501,649,800,503,16,800,503,649,800,800,500,502,649,503,800,500,282,800,906,503,502,319,500,501,986,37,502,500,504,800,501,503,501,502,501,500,649,959,500,502,501,502,500,503,501,501,702,524,649,500,800,501,501,501,239,840,412,355,501,501,312,649,501,282,501,503,521,502,503,501,502,669,16,503,500,897,649,502,103,503,501,649,649,501,174,502,16,502,857,800,503,504,501,501,502,503,282,282,649,503,503,649,501,501,649,502,503,986,800,282,502,500,500,800,907,504,502,982,503,504,500,503,502,500,501,649,685,503,282,501,503,501,502,800,500,503,412,500,649,800,501,662,800,503,500,502,503,503,501,729,282,649,635,501,502,649,410,501,84,649,649,503,502,501,282,800,649,649,501,501,502,502,282,977,800,800,800,502,503,502,500,425,501,282,16,52,502,501,503,800,917,501,503,502,502,649,502,649,503,503,428,800,502,501,800,503,649,800,504,501,649,500,503,649,501,800,503,501,502,503,649,800,332,539,501,502,501,503,500,503,466,502,503,649,16,800,282,501,503,500,502,503,800,649,501,379,500,800,800,800,501,649,16,503,649,503,502,502,649,501,501,502,500,282,103,501,501,649,103,16,503,503,16,500,579,821,649,500,107,800,500,503,91,649,500,502,800,502,16,502,500,502,500,501,649,800,500,725,800,282,503,501,461,502,649,282,502,500,800,501,515,649,500,503,503,800,501,800,282,502,800,282,500,500,501,501,502,800,500,800,649,501,500,16,501,502,282,780,502,800,649,649,800,503,282,115,649,16,501,503,501,504,697,501,47,16,282,800,282,100,500,503,800,502,500,225,501,16,502,503,282,800,100,503,502,556,6,924,649,16,500,500,800,282,800,282,800,16,502,502,282,514,16,503,392,218,500,649,649,502,502,502,501,501,503,500,503,503,504,800,649,800,501,501,800,800,16,500,16,503,649,649,851,282,100,649,282,503,282,800,503,800,503,282,502,649,503,500,16,503,649,501,957,705,502,649,501,282,800,503,500,649,33,503,503,282,502,502,800,501,502,824,803,501,500,282,649,282,282,800,800,502,501,195,500,503,396,501,800,501,500,762,16,906,649,800,501,370,282,501,108,649,282,501,972,800,16,503,503,500,503,502,502,800,649,800,500,501,501,501,16,649,649,800,502,800,501,500,500,502,16,501,502,500,500,501,800,501,502,649,502,500,649,800,504,282,500,500,649,985,500,501,649,800,282,649,649,502,800,503,501,800,649,800,501,502,500,570,649,41,501,236,649,500,502,493,501,555,800,622,800,649,838,282,500,800,500,501,649,501,649,501,282,503,501,502,501,502,503,502,500,501,501,504,500,649,501,503,501,502,501,500,800,502,503,497,838,649,962,649,649,502,649,500,649,500,501,649,649,501,565,503,649,500,800,786,500,500,500,503,800,502,649,502,502,503,500,502,500,649,500,501,700,903,500,487,800,800,615,598,501,500,649,282,502,835,502,649,16,649,800,649,16,503,35,282,282,649,185,800,282,503,800,710,649,501,503,649,501,501,504,649,503,500,800,502,502,503,800,500,503,23,649,800,649,800,501,501,649,501,500,500,501,502,502,502,649,500,503,503,16,500,502,500,503,282,502,904,503,309,107,649,800,503,502,501,282,800,501,16,502,28,503,503,501,282,500,649,500,579,500,800,500,282,107,502,503,503,103,502,800,148,649,502,502,501,504,649,282,502,800,502,16,502,503,282,501,500,502,246,649,800,649,800,504,501,831,502,503,503,504,501,503,503,800,503,649,103,500,500,390,282,649,502,800,501,649,517,504,649,502,502,800,501,800,649,502,649,103,800,649,501,500,800,108,501,501,800,501,502,502,501,502,325,800,500,501,501,800,503,501,649,503,500,632,502,264,800,502,634,107,649,501,500,800,649,503,503,503,800,500,503,501,501,502,822,67,503,501,501,649,675,649,503,501,500,501,500,995,502,800,649,501,649,502,282,501,502,502,500,282,504,800,800,501,800,500,501,500,800,155,800,282,494,649,282,500,502,800,800,501,502,501,649,649,282,500,649,500,647,800,649,503,800,501,502,501,734,503,854,503,502,107,649,503,500,800,649,502,800,282,502,282,500,282,447,800,649,501,501,800,643,605,503,500,451,649,501,12,502,649,800,282,943,500,206,501,16,501,464,649,500,649,800,503,503,502,500,551,500,502,31,503,500,503,500,500,16,649,649,800,644,501,800,902,800,500,592,501,503,545,861,500,100,502,800,139,501,649,503,649,501,500,500,501,500,504,800,800,500,933,502,649,502,501,800,501,503,800,503,500,503,16,16,282,503,500,649,282,800,503,800,800,16,501,649,649,500,282,16,503,501,653,503,326,500,501,649,501,500,800,500,649,502,500,503,502,502,501,500,500,282,72,626,265,502,500,282,502,649,502,502,500,800,800,503,649,800,16,32,500,649,649,501,503,800,503,503,673,26,800,501,501,613,503,501,800,800,504,500,800,500,504,503,649,649,501,502,502,501,163,282,283,500,500,800,649,800,649,500,649,502,501,263,503,500,649,500,369,501,504,282,502,502,500,800,501,500,503,649,502,502,500,502,800,649,800,502,649,282,800,502,502,501,282,501,282,502,501,98,116,501,555,501,649,502,501,800,800,503,503,649,649,282,502,887,282,649,503,649,649,252,502,649,500,792,501,501,503,735,800,503,597,502,800,282,502,649,7,14,348,500,501,705,503,800,503,501,503,649,502,649,501,282,500,503,501,500,501,282,649,800,649,502,501,649,800,282,500,501,649,502,500,500,504,16,649,800,502,501,503,501,800,501,502,800,16,500,282,649,649,500,876,649,503,503,649,501,800,831,501,503,696,649,502,282,503,16,503,503,649,649,800,103,800,500,800,800,503,649,501,800,500,501,716,501,503,501,501,800,649,800,282,500,372,657,765,501,502,800,649,501,649,501,503,282,501,502,502,16,500,800,503,504,800,502,107,807,501,820,649,501,502,649,500,500,800,649,649,800,502,198,225,501,649,16,386,800,501,502,501,504,800,503,800,16,501,500,513,800,502,503,503,500,831,987,502,282,500,800,502,503,321,502,800,649,831,500,649,500,502,502,501,503,504,649,502,503,501,800,50,503,226,500,500,16,500,800,800,800,501,800,800,500,16,501,500,501,16,649,501,500,282,504,649,501,134,503,800,752,500,501,800,503,500,501,504,500,800,503,501,502,16,501,282,501,800,503,500,800,502,500,501,501,282,502,649,649,800,502,800,282,649,800,800,649,800,500,282,502,500,282,16,500,504,92,800,500,310,993,502,366,503,503,500,500,649,303,524,530,502,800,800,649,502,503,503,501,503,500,500,502,503,500,649,800,503,649,800,503,501,594,649,501,500,501,500,459,207,501,501,502,501,500,800,500,501,503,282,649,500,501,800,501,501,800,500,282,503,115,500,649,16,800,501,457,16,503,500,649,501,649,103,501,649,800,328,503,500,800,16,78,500,502,800,439,502,502,16,503,500,649,705,875,649,800,501,503,503,502,800,501,800,282,501,464,500,16,501,16,502,800,501,500,500,503,501,501,502,501,800,501,649,800,503,16,16,649,800,504,501,282,282,501,649,988,694,500,501,502,500,556,501,800,988,649,504,501,282,800,501,504,500,686,16,502,500,502,501,649,503,502,501,800,103,649,282,504,16,500,282,501,502,16,500,503,503,501,800,503,503,800,67,649,821,501,649,500,500,807,500,503,503,501,503,46,503,500,500,503,928,649,282,649,649,501,501,282,500,503,282,500,800,649,502,699,500,800,500,649,501,503,800,662,649,928,502,502,501,649,113,500,649,649,500,800,500,649,16,500,649,800,713,500,502,500,500,503,282,503,502,800,800,282,503,503,500,649,649,800,500,500,800,502,649,501,502,649,500,501,502,503,500,649,16,800,500,649,503,500,98,503,649,502,500,282,800,503,500,503,649,357,728,500,649,800,800,107,282,649,273,179,649,501,501,800,500,800,503,600,503,16,500,502,502,649,649,503,800,501,282,649,500,282,502,501,502,800,800,500,649,503,500,800,649,500,501,800,282,502,501,649,501,500,502,500,501,649,800,502,501,970,649,502,441,503,649,502,503,503,649,501,503,800,649,500,649,649,800,500,502,503,800,748,629,501,502,649,800,942,282,500,500,800,503,282,501,501,649,503,502,502,500,800,501,500,391,649,503,282,502,501,444,500,649,502,501,502,503,502,282,500,800,649,502,573,502,649,282,16,282,502,502,501,169,973,500,502,16,16,500,439,469,309,800,649,949,500,649,800,504,107,503,501,502,500,503,282,863,502,800,500,501,503,649,500,800,503,502,501,282,959,751,501,800,500,649,501,282,500,649,503,800,500,504,800,649,502,503,502,649,649,500,500,282,800,503,501,500,501,502,503,752,282,574,649,501,502,502,503,282,502,120,282,800,201,800,501,649,282,282,502,503,503,800,649,502,800,800,800,649,649,800,503,503,649,500,500,649,649,282,649,800,501,500,501,282,503,16,500,800,503,638,504,122,503,500,282,502,282,282,894,501,649,139,649,16,800,800,800,649,502,649,504,16,501,502,502,649,501,501,503,649,503,16,503,649,501,500,703,376,282,503,649,16,649,282,282,282,649,500,559,501,501,800,16,500,282,33,800,200,16,503,502,501,501,503,504,500,282,503,502,503,240,282,502,501,503,501,502,501,501,654,501,502,502,789,649,649,503,649,800,282,500,30,282,501,186,16,500,800,649,282,649,502,502,649,502,282,800,282,503,649,800,502,502,503,501,282,649,502,800,3,282,808,289,503,503,500,502,87,503,282,800,649,501,690,503,504,503,501,800,716,800,800,500,800,800,501,502,503,800,502,663,502,503,503,501,503,502,800,502,503,800,649,649,282,282,539,500,500,16,615,502,500,649,800,55,800,649,107,649,500,800,500,501,800,649,649,800,500,272,16,649,649,282,800,501,502,649,502,649,500,502,172,503,282,502,800,800,485,229,649,502,502,800,501,282,227,649,501,800,666,282,502,242,427,501,501,800,503,282,504,500,649,502,500,500,800,503,649,503,649,503,500,10,500,500,649,503,282,798,649,500,500,500,502,649,800,16,800,649,501,800,503,500,500,800,16,503,501,502,39,502,503,282,800,649,502,500,800,135,500,873,800,503,64,502,649,649,501,500,103,501,186,502,500,800,503,501,282,501,501,501,891,503,503,800,16,750,16,649,502,503,503,574,502,500,800,800,503,503,501,354,502,503,649,503,16,502,503,103,502,502,16,800,503,501,800,16,800,501,261,649,501,502,610,502,649,501,800,502,512,501,282,112,502,649,282,649,502,502,504,800,800,501,800,649,500,500,649,16,800,501,649,502,649,649,649,800,503,500,107,800,649,800,282,800,501,501,500,282,503,502,800,503,502,503,649,800,814,107,501,501,503,16,282,503,649,58,502,503,500,502,800,649,16,649,509,500,501,800,800,503,16,649,502,16,649,502,502,503,500,609,800,99,501,501,282,800,500,503,502,502,503,16,500,649,503,501,800,503,16,503,501,502,503,500,501,500,500,649,502,500,107,501,503,502,500,503,502,501,503,502,800,503,649,503,329,800,502,502,501,502,800,501,740,800,503,500,81,503,500,649,500,503,500,800,503,649,501,800,649,503,687,500,282,501,503,282,502,800,501,394,649,501,800,503,16,800,895,500,952,500,800,217,500,500,659,806,503,500,193,502,649,500,831,959,282,503,649,501,800,503,800,502,649,501,649,107,649,502,502,960,563,969,649,556,631,500,649,800,649,501,503,503,504,503,800,502,503,501,569,800,501,501,896,140,502,800,800,501,501,501,649,736,470,501,500,282,649,501,800,503,649,347,501,502,508,232,649,500,800,649,503,504,800,500,501,502,800,16,503,649,800,800,502,502,16,500,800,800,59,16,282,504,500,502,500,981,649,800,800,649,107,649,503,800,351,500,649,500,502,500,538,107,501,649,282,503,822,501,500,500,397,502,800,699,503,649,501,649,282,800,65,649,503,503,356,501,501,500,282,649,503,800,649,503,649,500,503,504,501,800,500,282,16,503,503,800,800,873,501,800,800,501,106,503,503,501,502,711,16,800,503,467,501,502,500,501,501,540,503,800,16,800,282,501,649,32,800,283,800,800,501,500,501,800,501,800,503,502,800,500,878,589,502,649,800,503,501,500,800,502,186,649,16,502,800,504,800,282,318,310,649,800,616,500,502,501,501,502,500,501,649,402,503,463,503,503,502,800,692,503,282,282,649,309,503,649,282,177,649,501,880,501,282,800,501,379,503,500,503,649,503,800,16,503,500,16,107,500,649,282,502,500,503,676,500,501,846,500,500,649,502,282,649,500,502,800,121,800,503,600,501,16,500,16,649,502,800,503,282,501,730,282,501,82,504,502,649,649,282,502,649,500,501,501,649,800,500,503,800,649,500,500,208,501,500,328,250,800,649,588,649,800,503,16,649,500,891,501,16,691,649,282,502,502,501,501,800,502,282,649,501,501,459,552,502,595,466,501,800,800,502,500,282,786,282,504,502,800,649,649,501,649,543,649,501,501,500,503,501,501,503,500,649,800,800,649,800,649,649,100,503,865,501,500,503,282,503,649,107,502,503,501,502,800,501,107,500,503,602,503,500,501,689,282,502,500,282,375,501,705,503,501,503,500,649,282,16,500,502,500,501,485,282,649,501,16,649,282,499,502,649,424,978,16,501,800,177,503,500,501,501,11,60,500,501,503,501,190,500,556,649,502,503,502,790,500,502,503,501,649,800,282,501,649,503,282,502,500,503,501,277,649,502,649,503,500,502,649,500,501,80,282,501,502,502,500,649,503,502,649,28,649,837,502,503,393,16,282,503,649,502,800,502,649,501,184,800,800,163,500,503,800,771,879,800,502,500,503,503,649,500,501,631,503,503,262,800,501,649,503,800,500,182,503,501,800,500,800,800,649,501,103,649,503,649,503,800,800,502,649,201,16,282,800,502,715,500,501,500,649,503,502,282,800,500,800,800,16,500,103,16,649,501,503,282,649,502,500,503,500,773,649,167,662,800,649,800,282,159,503,501,502,502,800,503,800,502,500,16,649,501,503,594,502,243,501,649,502,649,501,800,16,800,500,502,502,500,649,649,502,282,705,503,16,282,322,282,401,504,319,500,16,502,282,503,107,282,860,282,858,503,502,649,501,800,865,765,79,649,502,649,503,282,500,649,282,800,503,928,503,380,443,503,203,969,503,282,935,649,800,107,800,649,501,800,282,282,500,500,649,649,500,649,502,500,649,503,103,282,282,800,107,16,245,504,304,501,500,501,502,649,107,502,649,282,501,500,649,500,800,649,502,800,501,649,107,344,996,800,504,502,103,500,649,16,501,800,565,649,503,502,649,282,282,360,501,800,503,800,800,800,502,503,502,503,649,713,662,186,503,503,282,282,502,649,502,502,16,16,634,502,282,503,800,800,800,502,502,282,503,503,503,503,800,503,502,800,300,871,501,503,500,501,500,649,82,503,649,501,502,503,649,503,282,391,800,920,500,502,501,649,501,503,566,649,800,649,503,502,649,500,504,501,335,649,503,649,649,500,503,502,649,16,502,16,800,800,341,503,649,500,503,503,503,649,649,503,800,502,737,800,504,282,649,767,649,800,649,500,800,502,503,800,502,649,75,500,800,649,282,800,501,282,503,649,800,502,103,502,500,800,837,501,16,649,503,503,500,500,107,501,282,649,500,800,800,282,567,503,103,500,279,282,500,502,502,649,800,501,192,891,649,282,502,501,500,282,103,667,501,502,16,800,534,136,800,800,649,504,649,503,501,501,503,503,215,501,506,649,282,503,370,451,800,500,800,502,947,800,800,649,649,503,649,503,501,649,503,500,501,502,649,500,107,503,501,800,948,501,503,800,649,500,649,282,800,649,500,500,800,16,282,502,282,809,500,502,501,282,504,649,800,501,788,500,503,16,503,800,282,728,500,503,501,502,501,501,500,649,500,649,800,501,500,501,489,965,649,502,500,16,500,500,800,500,500,800,649,16,282,500,649,501,555,649,485,800,986,800,392,502,649,503,503,800,503,107,503,502,800,502,503,500,502,503,503,911,800,502,501,500,501,16,503,502,501,649,800,800,649,800,705,501,16,502,501,649,503,502,16,503,502,418,649,800,282,649,502,649,500,501,502,500,501,502,501,282,502,33,502,649,502,649,503,649,800,502,501,649,502,502,813,800,500,503,16,500,800,800,500,503,500,16,504,502,800,502,935,501,649,800,500,501,800,501,705,107,649,503,99,500,64,500,503,16,800,162,394,649,800,500,24,500,446,232,503,500,649,500,502,500,510,503,800,800,800,800,102,903,501,501,500,649,800,649,282,500,502,500,16,649,503,988,704,504,501,504,503,501,500,500,783,502,502,214,962,604,800,500,500,502,500,282,502,649,500,800,800,502,500,500,800,501,649,501,800,504,282,501,503,282,502,649,16,500,500,501,282,282,16,649,649,501,282,502,282,800,501,649,649,800,800,501,800,282,649,503,800,501,16,800,501,503,800,800,892,503,649,649,500,502,16,500,502,800,502,502,401,800,502,500,501,649,16,282,586,800,502,500,501,503,282,800,500,282,649,500,800,503,649,649,282,864,649,800,503,502,649,501,502,503,502,502,501,800,800,502,16,500,800,500,501,503,500,503,500,502,501,502,500,282,683,501,282,501,238,649,500,800,282,452,503,800,503,649,500,507,282,500,547,649,649,503,500,800,800,502,16,649,500,500,800,677,16,800,800,407,501,500,500,649,504,501,81,800,502,501,501,501,888,282,606,503,447,649,500,649,504,647,800,500,800,500,661,501,500,800,502,948,649,800,502,500,626,282,306,649,282,800,502,501,500,503,800,500,501,502,500,649,41,16,502,649,500,501,502,800,500,503,282,503,649,500,649,29,282,500,502,502,649,800,649,503,503,649,649,103,500,502,16,502,533,649,501,500,500,500,503,649,502,501,502,502,500,503,500,294,501,786,936,649,649,500,503,500,649,501,124,800,500,282,800,500,649,649,503,800,107,282,800,103,500,649,649,649,500,500,800,649,282,503,503,800,649,649,800,282,502,503,503,502,649,649,800,649,500,503,103,502,649,800,9,501,649,502,800,123,649,502,502,517,649,503,649,16,502,649,503,649,501,649,501,649,501,502,500,503,503,800,501,649,500,500,800,501,800,502,800,649,501,431,346,800,501,800,502,908,501,800,607,501,16,323,107,500,503,800,503,800,501,502,800,800,16,282,800,649,132,649,393,501,500,282,502,282,464,107,649,16,501,649,502,800,502,977,500,800,760,16,16,501,502,114,800,800,503,501,282,800,649,800,502,503,125,500,103,503,501,501,800,500,786,649,502,649,501,825,503,16,501,800,800,502,800,282,501,501,501,501,501,800,649,197,502,500,649,438,501,282,594,282,282,447,649,82,798,503,649,800,500,504,502,500,500,649,503,502,282,24,503,503,649,649,501,503,649,501,649,808,282,501,503,500,501,502,480,800,504,503,495,500,502,839,800,500,70,501,649,16,503,800,502,800,501,398,500,282,502,502,502,994,502,502,800,502,502,501,503,282,501,649,501,501,501,606,502,501,985,649,994,500,282,503,800,282,282,500,502,636,500,553,649,500,503,649,502,560,800,16,503,649,502,500,503,16,501,252,500,774,16,500,649,501,649,501,502,500,500,502,649,16,649,502,649,500,689,649,649,500,244,107,503,500,201,282,282,500,282,501,502,497,566,502,282,649,503,204,502,500,649,501,502,222,503,649,503,503,501,501,501,503,504,503,500,947,501,649,501,655,649,508,649,500,649,501,501,800,500,800,705,503,500,501,502,500,502,800,500,502,500,385,649,500,502,649,800,502,800,800,282,503,627,282,500,503,282,649,502,502,501,844,503,503,800,800,503,218,474,800,500,503,500,282,503,500,800,503,282,780,502,504,502,501,502,502,16,501,503,354,800,500,502,800,500,503,500,501,500,400,649,501,800,800,649,500,500,860,649,40,960,16,649,502,502,503,500,649,503,92,501,708,503,800,649,282,500,297,320,156,527,503,503,501,503,800,500,503,380,800,282,649,649,502,502,525,800,501,649,503,800,800,800,504,503,503,502,502,348,649,501,504,800,649,605,502,444,503,501,183,800,502,502,282,723,500,194,503,649,649,649,503,500,502,800,503,504,503,501,823,800,501,282,698,649,282,800,501,800,976,500,103,500,504,429,502,649,503,783,500,502,500,502,501,800,502,500,500,282,503,800,800,633,800,16,800,503,504,649,424,500,800,502,800,800,649,800,800,282,649,282,501,16,649,503,501,649,500,171,649,365,649,501,922,649,503,500,501,500,649,501,500,503,500,500,800,501,649,649,501,500,103,649,502,502,282,649,501,800,502,500,503,282,649,501,282,502,502,501,500,101,97,500,649,502,500,501,649,501,503,107,800,718,192,504,649,649,500,282,501,501,649,503,500,503,649,503,800,800,626,503,649,16,649,649,503,503,503,503,800,500,501,468,16,649,503,649,282,500,502,649,502,800,242,282,649,475,649,134,503,649,503,500,800,500,282,503,644,501,282,424,649,503,800,500,503,503,503,282,800,501,275,501,501,500,501,500,501,282,501,500,503,42,800,502,504,282,649,282,800,800,282,503,49,649,16,649,649,502,503,282,649,486,501,737,16,103,800,216,502,649,500,103,503,500,759,366,282,502,230,501,800,16,649,503,800,800,503,282,649,282,649,649,502,160,502,500,800,433,282,502,625,800,943,800,282,500,649,649,502,503,16,800,649,503,502,800,649,559,649,942,424,503,502,16,501,502,503,503,500,800,16,800,800,501,455,500,501,103,800,16,907,503,16,501,500,649,301,502,503,500,282,502,502,503,501,501,501,800,800,984,619,503,75,998,649,282,502,503,500,649,501,501,579,649,500,800,500,501,651,501,649,501,503,731,649,649,503,500,500,501,649,503,16,503,649,502,500,500,500,503,501,501,501,500,800,649,503,503,503,502,800,289,500,817,649,649,811,649,800,503,501,500,501,503,503,500,503,649,501,484,501,649,502,504,501,649,503,501,785,500,500,800,501,117,500,649,800,503,502,107,521,502,649,500,500,649,800,800,800,649,503,500,502,502,282,500,800,649,646,501,282,500,800,705,500,737,52,501,501,503,500,502,503,800,503,982,503,500,435,649,502,248,502,16,501,828,502,649,502,500,282,503,501,500,502,107,503,502,502,282,649,800,503,501,503,495,575,502,800,500,502,501,502,103,503,501,800,282,500,16,792,649,800,800,502,503,501,800,501,649,501,501,500,503,501,503,800,500,282,649,649,655,501,800,379,502,500,649,502,500,502,292,500,282,649,500,800,649,500,16,649,500,800,502,239,503,502,706,649,502,501,16,800,501,501,800,220,114,802,800,16,450,502,502,503,500,411,649,501,303,800,500,649,503,993,500,282,649,501,500,800,501,500,649,147,16,501,500,540,501,501,503,500,502,502,282,800,271,615,501,503,649,745,502,501,503,503,282,800,501,649,500,651,502,500,282,800,16,500,800,649,800,800,503,16,502,63,282,500,501,501,649,16,503,800,649,501,500,649,503,649,500,16,16,502,502,800,282,501,649,282,794,595,501,501,282,363,16,447,282,649,503,502,649,503,500,500,800,500,749,800,649,503,501,501,502,503,500,909,649,501,282,500,665,649,502,800,282,282,33,500,16,649,649,502,502,500,282,501,730,649,282,500,503,500,501,501,800,649,800,501,800,881,282,16,502,500,501,501,692,500,649,789,800,503,500,504,503,471,502,857,503,500,214,645,679,500,500,501,501,268,504,800,500,500,501,500,502,503,649,502,800,800,503,284,500,502,258,500,503,500,282,503,502,503,484,649,503,673,649,502,503,500,501,500,502,503,502,649,501,500,282,939,282,649,800,800,800,502,502,503,282,800,297,649,501,800,501,699,502,800,502,501,500,502,282,649,800,874,501,502,192,500,501,500,501,988,282,649,649,502,649,503,649,649,649,501,500,649,282,649,502,918,147,502,16,500,503,503,800,649,698,649,800,800,282,500,502,501,800,500,649,503,501,16,800,501,800,503,686,800,16,103,500,500,649,649,503,649,503,502,500,504,282,503,503,79,655,800,800,500,649,282,500,500,502,800,501,502,649,649,649,504,800,649,502,649,500,282,500,500,503,649,501,276,649,649,500,800,501,503,800,503,800,502,7,500,503,501,502,800,37,503,282,502,500,501,501,282,800,501,880,360,502,502,503,800,501,503,282,404,502,503,580,501,103,16,800,501,503,502,16,502,504,500,501,503,501,800,501,502,503,800,501,800,282,501,800,709,282,500,501,800,500,649,501,649,500,282,649,500,503,16,649,503,501,501,501,624,800,216,502,503,649,501,502,500,16,649,502,503,282,107,103,501,126,503,503,501,501,800,500,282,502,800,504,500,503,282,500,501,323,502,649,312,500,293,501,501,502,500,502,649,800,649,963,502,608,501,649,663,501,800,503,501,649,502,501,503,282,502,501,800,16,649,436,500,800,800,800,649,502,503,500,16,282,502,282,502,107,502,500,649,501,501,16,501,705,501,54,103,282,502,649,669,500,282,649,500,800,649,500,282,500,649,879,503,16,500,502,649,74,550,502,503,800,501,852,696,310,502,503,800,16,800,649,439,328,501,649,503,800,500,649,500,500,500,501,315,502,800,502,500,800,103,645,500,501,501,502,502,822,282,502,500,800,503,500,503,501,800,16,503,649,649,500,649,800,16,484,800,649,500,103,649,956,500,500,649,503,282,503,800,43,504,500,649,107,501,800,501,500,502,800,503,503,501,800,501,500,500,313,502,503,649,502,502,501,502,800,501,800,800,503,502,500,501,751,800,282,649,800,500,800,503,501,649,282,16,568,500,800,649,649,270,500,649,649,503,501,501,502,500,282,649,680,282,800,503,234,500,874,502,535,503,501,313,800,649,800,282,800,501,503,649,502,502,503,502,654,800,502,504,800,87,500,200,502,502,503,649,649,16,502,501,649,500,672,500,502,502,500,800,503,500,649,503,175,502,501,502,503,503,503,504,282,501,649,502,504,500,503,649,649,684,649,649,777,282,502,649,649,282,504,503,800,800,649,501,502,500,800,282,786,145,500,282,800,649,501,500,503,500,800,800,502,501,501,502,303,800,649,266,649,649,800,502,649,649,502,502,652,503,649,503,502,501,502,649,800,500,649,503,938,500,282,503,503,502,503,500,649,616,502,500,500,500,503,501,649,649,501,649,107,649,503,502,501,800,501,858,482,609,649,502,504,649,500,502,501,500,16,501,94,852,800,500,107,943,502,502,503,502,676,500,380,502,800,800,501,500,282,503,793,501,649,500,500,502,16,502,311,503,649,503,81,649,256,800,502,800,500,501,800,282,800,649,556,649,501,501,103,282,502,500,503,500,502,503,501,500,501,800,502,503,282,503,800,503,502,501,800,800,503,319,211,282,500,98,503,649,649,282,800,501,800,501,502,649,502,500,501,503,800,503,800,691,501,503,500,500,575,132,800,500,502,649,500,649,800,500,502,835,282,107,106,16,503,649,502,282,800,673,649,800,502,649,649,546,500,501,649,107,800,503,501,800,504,649,500,502,649,502,800,500,502,501,502,501,501,408,503,282,500,501,649,649,504,501,282,7,705,501,205,689,649,502,800,649,503,103,282,649,500,800,501,503,502,503,933,502,501,649,503,649,649,16,946,800,16,649,500,649,501,500,502,500,502,278,69,800,500,504,282,800,503,524,282,800,503,800,348,500,351,382,503,501,502,649,503,141,509,502,502,502,500,501,500,500,356,649,337,500,502,649,500,649,503,502,162,800,502,649,649,282,649,282,800,649,800,501,500,925,649,800,502,858,502,282,501,501,502,503,800,649,500,502,103,503,503,502,649,601,282,503,649,502,502,500,501,649,500,502,282,502,282,800,502,618,800,16,504,501,649,502,16,502,103,503,800,16,16,501,503,500,502,16,501,282,503,503,501,502,649,502,282,502,502,942,649,869,503,503,16,504,501,503,800,714,649,500,16,649,800,649,282,502,800,503,282,500,282,503,107,800,501,649,649,502,869,800,504,503,103,503,282,501,649,503,843,649,541,500,501,282,649,649,500,282,649,503,649,500,800,649,500,501,502,190,503,16,649,503,502,233,579,502,502,800,800,503,649,430,136,800,501,807,739,282,103,500,800,502,107,501,897,16,649,282,800,800,502,500,313,503,800,501,501,550,503,503,282,336,282,16,282,500,502,501,502,649,500,502,502,501,16,502,503,37,500,503,502,16,649,503,503,501,282,501,282,500,282,649,502,501,500,800,502,649,315,282,500,19,359,800,500,800,854,649,282,503,503,503,165,502,501,997,501,501,800,533,651,444,297,502,800,500,502,503,800,500,503,501,503,16,649,501,800,519,500,649,800,649,501,16,503,649,503,503,500,282,502,800,504,500,16,501,282,501,501,16,649,649,500,59,800,502,618,502,649,501,649,500,16,503,124,800,501,282,501,800,649,501,502,503,649,649,450,649,502,501,473,800,500,103,649,501,649,107,705,502,502,502,649,502,501,602,282,800,500,503,649,546,504,500,282,649,649,502,445,800,340,649,800,800,500,16,501,501,282,503,16,649,282,16,807,800,500,800,688,501,282,548,501,649,503,800,503,800,500,504,502,800,649,502,649,137,501,503,500,800,503,502,282,800,649,16,800,503,157,800,501,501,501,886,503,800,503,800,282,103,800,649,282,503,905,500,502,503,16,800,800,500,504,800,649,503,16,649,282,501,503,649,16,626,800,800,502,500,504,500,649,500,800,456,800,325,649,500,800,107,649,501,649,649,502,822,503,502,993,649,502,800,649,860,503,103,649,503,503,501,500,502,501,503,502,503,107,800,800,503,800,503,293,502,649,502,500,800,271,500,800,503,503,503,800,502,915,502,175,501,282,800,503,107,502,800,500,282,501,502,649,502,503,503,500,501,975,800,502,156,16,282,649,815,649,500,25,503,503,103,502,658,649,503,501,282,282,503,502,282,649,800,649,649,649,500,649,502,16,500,503,16,502,501,503,649,649,649,502,649,143,264,502,502,500,208,502,282,800,800,649,800,501,503,503,699,649,800,649,502,107,541,103,649,800,16,501,282,504,503,649,501,800,649,503,503,500,503,501,502,500,500,500,503,875,502,500,503,649,649,501,500,503,800,502,500,800,800,16,800,649,800,976,500,561,282,500,502,800,800,503,501,503,282,501,501,649,282,649,501,800,502,503,800,397,503,503,16,501,800,567,501,282,649,502,412,501,503,503,503,649,503,800,502,501,502,502,503,373,503,502,800,282,282,800,502,649,502,503,649,282,16,649,800,16,503,500,502,282,960,502,501,929,800,282,107,800,504,800,502,502,503,500,652,800,649,503,962,501,502,502,502,649,800,800,800,503,502,503,503,503,545,501,282,501,501,800,625,502,503,649,649,501,501,503,800,800,501,500,503,502,502,649,502,282,503,501,800,800,502,208,503,501,501,503,649,800,502,282,502,282,198,649,503,501,649,800,800,606,503,282,649,282,500,502,800,500,800,365,502,800,649,502,16,800,502,649,503,503,800,503,25,649,282,800,503,16,503,800,502,501,649,501,649,501,503,502,503,880,128,282,502,502,772,649,502,677,800,556,800,649,502,282,649,500,501,503,518,502,712,107,471,800,500,282,502,500,800,501,800,501,500,500,649,503,757,501,501,800,501,214,800,502,501,795,408,100,500,800,500,501,491,500,501,503,501,501,649,649,800,501,649,800,16,92,500,944,501,500,800,502,901,657,503,906,503,501,500,500,891,501,502,16,649,501,197,800,501,282,16,502,71,805,500,504,500,649,282,649,502,500,502,649,500,501,503,649,16,649,502,800,502,649,500,16,282,503,500,727,800,500,502,503,504,282,109,501,649,96,282,800,503,16,649,246,501,896,504,503,871,649,503,502,16,16,282,800,503,500,501,800,649,500,502,501,649,649,800,504,357,502,504,501,742,500,800,500,103,503,16,503,501,500,503,502,649,502,782,502,503,502,16,16,800,502,800,503,503,501,500,504,501,501,103,649,800,503,501,800,504,503,500,649,502,502,502,502,502,192,504,501,134,800,503,649,503,649,800,501,502,882,438,502,705,282,800,503,649,500,502,502,800,649,649,800,500,500,800,501,500,540,649,500,800,16,800,503,974,500,503,504,111,503,649,500,503,502,501,224,502,800,502,504,502,248,649,504,649,337,533,503,502,800,501,800,502,649,500,503,800,502,503,500,282,500,649,282,107,502,500,500,216,800,501,282,503,503,800,881,500,502,649,502,16,500,501,649,351,634,808,800,800,503,282,501,16,503,649,502,935,503,501,16,501,500,649,282,501,500,503,649,649,800,502,800,501,500,549,503,649,501,504,503,500,502,649,359,800,503,649,500,3,800,501,500,282,282,800,500,502,502,829,649,800,16,500,282,829,502,800,103,501,16,500,503,503,673,649,800,441,649,501,800,500,649,282,501,477,503,800,649,282,500,649,503,503,501,500,501,399,649,800,502,800,503,800,502,502,649,694,501,282,501,501,503,504,866,503,503,502,500,282,500,649,649,282,16,502,682,282,502,16,800,502,649,502,500,503,979,501,500,503,649,282,649,103,649,103,366,501,649,33,350,800,500,500,501,800,500,503,503,649,945,503,89,649,504,502,649,807,502,500,16,501,500,500,649,500,502,502,503,153,502,501,502,649,231,503,282,500,800,649,800,800,500,282,502,502,503,649,502,568,800,800,345,282,649,504,502,502,502,800,502,800,500,500,800,501,942,649,502,500,503,739,502,503,282,501,502,500,501,502,504,800,513,500,500,503,28,282,502,502,659,503,500,800,107,800,16,501,500,501,649,502,502,501,502,800,649,800,649,16,500,500,502,503,500,800,649,501,800,502,800,501,481,501,282,800,502,502,500,503,649,500,500,16,500,500,503,649,501,226,567,502,428,504,282,500,649,503,501,500,500,649,800,16,500,503,952,800,502,501,103,501,800,501,800,503,503,857,503,502,501,503,503,502,564,16,800,503,800,800,107,282,503,107,503,282,500,796,16,282,500,677,800,500,502,502,500,800,282,649,800,501,426,48,502,500,502,501,800,800,503,649,649,800,504,431,107,649,500,503,500,503,501,502,598,282,800,502,107,545,500,501,502,649,502,649,800,195,504,912,405,500,649,500,16,800,501,649,107,501,503,649,503,502,649,501,649,800,501,502,502,500,950,500,503,282,649,502,501,291,500,282,501,501,501,807,107,501,501,649,502,800,504,502,501,800,649,502,503,16,501,501,503,526,500,501,649,504,503,500,501,800,501,503,500,800,982,503,649,282,500,502,282,500,649,501,273,500,503,282,500,501,502,201,361,501,282,282,502,16,503,323,501,500,649,502,345,282,800,282,503,504,649,501,14,501,501,501,731,503,282,800,16,503,649,501,649,282,501,800,800,16,282,649,282,500,502,282,501,501,545,282,282,500,502,500,649,649,502,282,800,501,649,501,800,602,500,649,800,800,282,282,296,649,800,649,560,500,371,800,800,503,16,504,800,652,501,502,16,87,502,500,502,502,16,649,503,500,501,800,800,649,649,504,649,504,649,501,503,800,500,502,501,854,502,282,800,502,503,503,358,649,503,800,70,16,16,800,501,503,500,531,501,501,800,800,649,175,503,503,649,502,500,282,878,502,502,282,500,845,500,503,649,993,500,501,501,501,503,649,502,282,16,503,500,503,501,800,16,842,501,501,502,503,501,502,502,592,800,200,501,502,800,800,649,937,501,503,503,502,800,800,282,16,649,329,501,649,649,502,504,500,282,800,500,16,921,800,649,649,501,503,502,800,502,503,501,800,800,503,500,649,649,649,16,501,800,282,282,501,16,503,649,501,16,800,649,503,502,16,500,502,282,503,503,501,539,800,282,502,16,649,502,800,503,502,649,501,503,501,282,282,55,100,16,503,502,502,502,800,501,282,503,649,800,282,649,649,282,716,502,961,282,16,16,500,500,649,503,800,503,502,500,504,502,502,282,500,800,502,537,85,500,500,748,800,583,501,62,503,500,800,800,502,649,502,501,502,503,503,800,800,800,649,501,500,282,500,649,649,503,501,500,225,282,502,500,922,503,503,800,501,800,282,502,501,649,649,800,903,502,503,501,282,649,500,244,282,800,502,502,500,16,749,503,649,649,16,503,800,249,503,649,503,502,488,800,800,503,812,800,649,500,649,16,502,502,34,16,710,140,500,649,501,500,705,649,500,502,282,785,282,500,13,503,800,301,502,975,649,282,502,649,800,502,502,649,649,282,502,800,501,16,664,502,503,501,649,503,500,649,501,501,282,649,500,502,502,503,715,502,503,503,502,502,800,649,501,278,402,502,500,501,50,282,503,501,501,800,503,275,503,503,501,800,502,800,503,501,504,503,181,501,503,800,503,383,107,500,502,800,800,237,282,503,503,649,339,503,649,502,649,282,503,501,800,282,502,502,502,526,501,502,649,504,282,567,649,502,500,800,501,649,800,800,502,649,649,501,800,649,504,502,16,842,800,517,368,649,282,503,525,649,500,800,649,800,501,501,501,649,500,776,649,753,649,800,95,649,503,503,649,500,503,500,800,500,800,503,504,649,503,649,500,282,503,502,501,282,500,649,649,711,502,500,649,282,649,282,503,649,500,501,571,500,649,800,503,500,501,500,503,501,503,282,502,503,622,16,502,501,500,502,501,502,938,169,503,220,502,649,504,397,16,856,649,626,501,582,500,800,282,800,502,649,649,501,800,503,16,502,502,502,501,16,649,502,501,502,500,502,282,282,282,504,501,800,501,504,603,500,500,501,649,800,666,501,503,504,701,446,502,800,503,500,500,501,990,649,500,649,502,302,800,502,503,16,502,800,500,649,504,500,502,320,686,503,800,649,502,502,800,649,501,800,800,959,503,800,500,500,649,500,282,649,429,500,649,500,274,501,800,800,502,503,503,103,649,500,502,501,500,649,504,987,503,978,502,227,451,503,800,504,649,282,282,500,800,282,500,501,282,800,500,500,502,502,501,800,845,649,500,649,503,649,800,6,502,501,502,500,649,282,501,513,503,800,800,502,501,501,800,800,503,500,500,800,501,434,501,800,500,502,649,649,502,159,649,503,502,935,649,503,649,282,500,187,649,500,501,500,503,800,282,800,500,502,649,800,382,502,649,800,649,649,502,503,282,500,665,282,502,617,649,501,503,500,205,500,800,502,282,863,800,502,16,502,501,500,502,501,503,649,800,501,661,502,800,504,500,649,500,103,443,500,800,876,800,502,502,282,110,800,649,501,800,501,800,503,503,282,500,503,800,800,501,501,500,503,503,502,502,501,501,126,500,504,503,503,16,503,503,503,501,503,503,501,545,43,501,649,282,500,800,503,649,504,649,649,282,282,800,501,501,503,800,501,263,503,500,502,500,649,389,500,503,282,501,144,503,282,800,800,948,282,649,444,501,649,16,16,501,500,997,38,800,502,649,502,649,500,282,800,503,252,504,982,407,700,500,502,502,502,16,502,503,500,649,503,501,823,503,503,6,800,568,502,800,800,800,501,504,500,500,503,800,503,800,502,248,244,502,503,119,796,800,16,649,503,501,800,282,503,500,500,501,502,649,500,503,649,503,649,649,649,649,503,502,800,500,800,282,649,649,501,635,649,800,800,501,649,503,649,649,16,800,800,503,503,649,502,16,413,649,500,500,501,649,500,501,321,501,282,501,2,701,16,502,807,500,501,501,502,800,800,649,649,503,501,500,503,503,282,800,649,976,501,16,503,800,282,649,503,503,282,501,282,649,503,282,503,649,449,800,500,502,500,503,800,16,800,500,501,503,501,503,502,684,649,649,249,282,500,649,282,503,503,192,502,123,503,331,502,800,500,502,649,502,649,503,500,649,649,501,800,649,501,762,649,501,500,501,500,282,503,502,501,800,501,282,229,649,800,282,649,800,649,649,501,649,501,800,503,500,649,649,16,504,396,500,500,420,502,501,595,282,800,504,649,649,649,503,504,893,800,800,500,800,500,786,501,500,16,500,503,503,282,500,16,787,649,282,800,649,649,502,282,501,781,800,502,502,800,649,501,649,800,502,649,502,500,502,41,16,16,502,501,120,500,720,282,501,800,170,500,500,894,503,502,115,501,502,16,501,503,502,500,503,530,282,51,71,502,503,514,500,282,503,500,567,800,107,649,501,501,500,800,500,503,503,649,282,312,649,800,16,649,501,501,503,503,649,503,504,447,158,503,500,649,500,16,649,500,502,627,565,107,649,501,502,800,501,282,649,502,649,501,649,800,251,282,649,501,503,500,502,500,504,502,503,500,502,421,649,501,837,500,503,500,997,217,502,503,911,800,800,297,500,649,501,282,502,501,503,504,500,282,536,500,503,649,16,223,501,501,563,800,282,502,500,503,500,501,341,500,282,501,282,649,40,23,446,501,502,784,500,649,800,800,649,649,649,500,502,502,503,800,501,504,500,691,502,800,503,649,282,501,282,503,502,282,500,705,649,501,800,241,800,282,500,501,501,503,649,649,500,501,502,851,282,500,649,107,501,500,502,162,503,807,566,300,649,502,325,502,500,918,501,502,282,649,362,502,191,126,502,503,16,649,545,649,800,482,800,649,955,502,930,800,282,503,282,800,502,500,915,501,800,503,503,282,502,502,503,502,504,649,503,500,501,500,282,501,649,503,649,800,291,502,503,501,649,16,800,282,501,800,502,504,502,649,276,16,282,501,501,386,915,501,500,501,340,16,800,694,649,502,800,649,800,800,501,501,500,503,282,502,501,502,312,500,800,351,282,649,16,649,502,503,282,166,503,604,501,502,800,282,500,500,500,502,502,16,10,649,649,705,500,170,16,502,282,16,282,836,649,649,502,500,360,503,503,503,282,800,800,504,500,800,800,501,800,257,154,800,649,525,649,649,501,408,383,800,649,649,16,649,503,502,649,503,501,575,501,502,502,800,800,649,500,625,800,282,504,503,649,500,107,500,598,649,666,500,241,800,501,282,501,282,500,501,500,649,449,502,282,800,16,501,503,800,504,282,502,501,500,282,501,649,503,800,649,282,800,501,634,800,282,501,658,503,103,501,501,770,649,500,502,501,500,500,501,649,581,319,503,501,73,288,501,116,500,649,16,501,379,501,501,800,800,282,800,500,800,503,282,503,503,502,282,502,649,502,500,502,502,800,500,282,501,500,500,500,16,282,649,282,504,103,282,800,502,501,502,981,649,649,501,486,100,761,649,800,16,503,503,501,503,282,649,16,800,501,501,500,800,502,328,501,501,649,227,502,503,500,16,800,500,500,501,533,503,649,502,16,800,501,503,938,131,502,800,72,800,733,501,800,502,649,800,649,649,501,684,504,500,500,501,501,502,98,282,503,502,649,503,282,800,649,101,502,500,501,501,622,649,649,810,503,500,502,502,500,502,800,501,328,282,649,502,503,502,501,504,81,639,649,500,649,800,800,501,406,502,503,453,503,503,561,752,649,206,502,502,800,282,771,282,502,649,501,800,502,800,282,504,282,758,649,323,502,649,501,501,504,16,503,501,107,649,720,503,282,800,501,800,502,282,800,649,649,502,789,501,503,501,800,649,501,637,500,503,501,500,501,500,649,501,501,800,502,500,800,503,113,282,501,219,800,503,502,607,649,502,800,500,502,501,501,649,282,502,808,501,500,282,282,501,649,199,501,282,502,282,500,501,503,800,500,175,649,355,503,503,502,649,503,503,649,501,800,501,503,501,500,501,282,502,500,501,501,502,501,501,839,800,11,360,500,503,800,502,800,503,502,800,800,282,282,500,282,683,79,502,501,282,503,503,500,503,502,282,500,503,503,649,503,500,860,503,502,749,754,500,500,614,282,503,649,649,500,500,503,931,649,16,649,800,529,649,503,282,502,800,282,500,649,501,649,649,649,282,649,504,503,688,16,501,800,16,502,501,649,502,550,501,411,501,503,500,503,500,503,649,500,503,502,503,502,649,800,500,501,502,500,502,909,500,503,503,649,502,649,282,502,16,570,649,800,567,501,355,501,862,800,282,800,649,282,16,16,501,800,503,503,502,16,500,502,504,500,800,500,502,16,326,502,501,500,800,649,649,649,711,500,500,649,502,800,282,649,502,649,800,501,501,649,502,502,503,502,16,800,800,502,16,500,649,103,503,649,503,649,215,800,282,649,502,500,503,502,649,502,800,282,649,800,16,800,649,500,502,500,663,282,282,503,501,649,310,501,906,649,282,649,502,503,501,502,503,800,800,501,649,500,501,649,501,501,16,800,800,502,500,500,502,502,282,500,680,500,500,500,57,504,501,614,503,16,500,800,282,503,649,489,282,282,502,504,500,501,503,649,836,800,800,503,502,16,649,500,16,500,116,282,500,282,502,502,501,282,503,503,503,501,538,503,503,502,502,503,502,504,363,500,502,503,501,412,502,502,504,16,502,501,500,649,501,282,502,500,649,16,500,501,16,16,282,737,502,500,601,502,500,502,502,649,502,502,503,649,649,282,503,500,500,502,253,503,504,500,501,502,501,503,504,649,502,649,705,282,502,501,503,800,439,500,282,502,503,503,649,503,491,500,502,800,502,16,427,502,500,649,624,500,503,502,16,649,12,649,800,992,800,501,649,503,502,649,502,649,500,16,501,800,503,800,501,503,282,649,800,924,500,502,552,500,282,500,16,282,16,502,16,800,800,649,501,501,501,501,649,649,800,500,89,649,649,649,503,502,460,500,500,282,996,502,501,800,503,501,501,649,500,34,245,649,649,282,16,504,40,649,500,282,504,348,790,405,267,391,649,235,649,282,848,800,500,163,111,282,688,502,919,502,502,609,800,800,500,501,16,85,475,502,649,502,498,502,800,501,649,103,800,107,649,503,48,502,500,282,680,500,502,502,502,282,600,500,501,800,398,16,282,502,502,503,903,503,800,500,502,502,503,502,282,500,500,829,501,503,500,282,750,649,649,501,277,553,500,962,502,500,43,504,649,504,800,503,803,500,500,501,502,501,501,501,501,800,649,502,503,501,282,500,282,649,502,282,16,282,503,500,282,500,649,503,649,100,800,503,502,502,501,500,501,503,501,282,500,503,503,282,800,500,304,500,501,500,757,502,500,649,649,433,649,501,800,16,502,503,501,720,500,449,503,502,649,501,649,500,500,201,503,800,16,500,501,16,800,501,501,501,732,500,649,500,502,503,649,500,800,282,502,502,992,503,649,16,502,500,502,800,503,501,500,649,649,503,460,649,492,503,800,501,800,19,500,501,503,502,502,800,649,504,800,501,800,107,258,500,153,501,282,503,200,503,503,800,500,503,502,16,954,503,501,502,500,282,503,800,503,502,282,500,956,503,780,501,502,503,504,503,502,500,649,649,502,282,502,503,800,500,554,504,282,503,282,800,501,670,501,503,503,282,500,502,502,500,501,501,649,500,800,800,502,282,16,502,500,282,800,16,503,501,800,501,502,500,649,501,649,800,503,649,501,503,446,649,378,502,501,649,649,649,502,800,501,500,282,649,502,500,500,500,800,649,500,500,649,502,649,800,500,500,501,69,503,501,503,649,697,502,649,501,649,502,500,501,800,800,16,649,800,800,800,503,649,501,502,500,800,500,502,502,649,16,500,501,502,754,449,800,500,500,503,282,649,501,502,649,565,502,500,282,502,501,502,679,16,503,282,500,649,877,649,649,502,503,502,502,501,500,502,501,699,282,501,503,503,502,282,501,500,649,800,649,474,501,527,434,502,500,282,500,649,501,502,501,255,174,800,502,649,282,500,842,504,649,800,800,502,501,500,635,282,503,502,800,503,649,800,76,649,500,800,503,103,886,282,800,503,503,500,800,501,500,944,800,40,282,16,501,503,800,171,503,501,502,649,501,503,500,501,502,502,800,972,323,503,800,282,800,502,503,16,500,643,649,16,649,500,649,503,649,501,501,399,596,502,502,502,500,501,502,16,800,503,502,501,800,649,800,503,649,496,501,833,800,282,500,500,502,501,282,500,800,800,500,500,501,800,500,500,503,502,500,16,800,503,501,16,800,753,649,501,649,501,649,649,649,501,501,800,282,649,649,238,800,500,279,16,649,503,502,501,533,474,897,117,503,50,649,502,502,500,649,502,107,502,198,503,282,800,501,649,2,503,502,649,504,503,484,613,800,504,500,504,502,502,649,502,800,800,649,500,649,504,502,800,800,649,976,502,502,578,649,500,503,500,501,649,545,502,500,649,502,500,500,649,649,500,500,502,502,503,16,800,539,282,501,500,800,649,649,502,649,649,500,800,69,649,500,500,501,501,800,649,503,800,282,282,16,649,502,500,107,500,852,282,16,501,512,704,649,501,501,503,503,800,649,502,502,502,504,649,649,501,740,669,649,503,800,103,649,500,905,800,502,49,282,282,649,649,502,282,282,450,800,503,502,501,877,502,737,800,649,282,16,705,502,16,500,282,100,502,502,503,503,503,16,107,16,800,500,649,282,500,500,502,649,807,282,500,800,535,800,649,800,501,503,390,16,500,800,3,800,503,800,500,678,16,503,16,649,501,437,800,502,800,800,502,824,500,649,649,500,649,800,649,800,502,114,503,230,501,500,503,800,404,503,503,501,502,910,500,16,501,649,583,392,500,502,649,649,502,800,501,502,503,503,501,800,500,502,800,649,282,502,800,800,502,500,800,503,500,107,502,649,502,503,800,502,501,16,502,502,500,649,503,500,800,500,649,806,501,649,503,500,910,500,800,502,378,501,850,649,282,502,16,136,501,503,288,16,503,649,649,500,500,502,16,152,380,649,407,502,501,503,501,649,649,16,282,501,500,501,477,649,501,500,502,800,121,503,741,188,501,501,353,800,500,198,649,500,502,500,501,503,649,800,800,503,502,502,503,501,503,16,503,503,503,502,500,502,504,501,649,502,970,25,870,500,502,501,282,763,502,503,503,503,500,649,649,501,800,649,500,500,500,800,503,501,500,500,800,500,510,500,502,649,500,800,500,500,649,502,282,500,502,115,282,16,107,800,503,501,500,649,502,504,800,800,482,500,649,501,502,16,501,502,649,502,895,800,649,502,714,800,730,501,500,501,502,502,500,649,649,800,321,107,649,503,503,800,649,800,500,107,501,546,503,825,503,649,974,500,501,993,649,282,501,769,649,649,503,503,174,16,282,800,833,905,282,649,501,500,282,282,502,501,800,502,502,800,502,500,282,98,800,502,500,501,502,500,502,500,16,282,502,800,500,501,502,649,800,501,503,649,501,503,282,502,800,502,649,503,282,501,501,503,500,503,16,451,500,501,502,282,503,649,502,501,649,503,649,502,503,502,649,503,32,502,649,503,800,649,738,282,16,500,800,501,649,501,501,800,500,103,800,500,16,470,649,502,503,502,503,693,502,192,649,500,502,282,649,16,503,703,456,649,502,282,164,649,500,800,649,282,649,501,649,503,800,501,282,282,501,503,154,501,658,282,16,852,387,649,500,800,502,500,500,2,500,19,501,800,501,500,501,500,500,800,503,800,502,500,502,392,502,501,503,500,503,800,500,501,649,800,503,649,649,800,800,501,800,800,502,502,500,501,16,501,503,501,800,501,500,326,503,500,649,503,282,501,502,502,282,500,800,503,501,501,503,500,16,800,800,502,800,503,503,649,502,500,501,800,800,649,800,500,649,649,502,501,617,978,282,800,649,502,503,800,501,958,800,501,500,16,504,649,649,649,372,369,649,649,800,649,362,649,39,103,501,626,502,67,282,282,501,800,501,502,502,503,501,649,500,800,500,500,503,649,503,501,500,800,649,500,405,500,649,503,501,500,913,501,757,649,502,649,501,800,503,502,503,503,502,503,503,16,103,501,800,851,502,501,282,502,503,649,587,800,649,501,503,282,500,502,501,501,503,500,502,500,502,503,705,180,501,501,500,501,649,503,502,501,693,500,500,500,859,899,649,649,639,501,503,500,16,294,649,500,800,502,800,503,107,501,638,852,800,438,282,800,649,501,500,502,501,502,649,502,500,503,503,800,503,503,766,501,150,800,502,553,501,503,500,649,800,502,500,221,501,500,282,501,501,649,800,504,502,16,500,500,800,649,503,800,501,282,502,649,502,502,649,465,501,649,800,500,503,264,502,501,245,800,800,503,800,800,800,16,503,626,800,503,504,503,649,501,500,500,699,282,101,501,282,282,503,649,242,107,800,501,800,500,500,501,43,501,503,649,649,501,649,503,800,503,503,649,500,501,649,501,503,500,800,501,502,107,649,800,501,502,503,649,800,649,649,649,500,308,502,503,800,107,649,299,501,500,502,696,800,502,282,502,501,800,501,500,800,282,503,502,502,649,16,639,105,800,890,500,500,500,500,501,501,106,649,500,500,282,502,107,649,503,502,16,502,349,800,649,504,649,800,620,502,800,501,500,501,503,103,503,282,501,500,501,503,500,649,503,504,500,501,800,721,502,16,800,502,500,800,800,500,503,282,649,501,75,500,800,502,800,502,500,800,649,502,800,800,800,500,16,502,501,800,502,649,649,500,282,649,649,500,503,16,501,621,331,704,502,417,500,501,618,849,503,282,500,502,500,861,500,503,503,500,502,502,503,503,502,501,649,503,504,16,649,502,649,649,503,501,828,501,502,504,501,502,282,730,282,640,345,282,16,509,501,282,501,500,501,800,694,501,501,800,649,502,800,649,502,501,800,282,937,800,649,649,500,502,926,503,50,500,503,16,502,517,501,807,500,282,502,282,501,501,282,502,502,644,866,501,649,649,501,503,282,555,502,459,503,500,503,290,501,800,80,16,503,649,503,504,502,503,503,500,501,649,209,502,282,500,503,800,946,500,16,501,503,503,800,685,503,502,476,503,649,503,503,501,500,800,282,214,16,502,500,800,649,116,503,502,504,804,800,649,800,649,502,502,503,282,501,502,915,503,502,502,502,800,501,504,500,502,649,503,501,282,944,503,800,502,503,649,501,649,649,107,504,800,502,800,800,500,503,368,503,503,501,179,503,800,502,502,282,500,503,503,649,915,500,913,649,502,800,16,501,800,800,734,504,504,649,693,241,772,500,800,716,282,284,649,502,649,649,502,282,953,744,848,503,800,992,500,501,103,501,800,1000,503,503,16,649,649,649,800,500,501,649,184,800,649,502,503,501,649,800,500,501,649,500,276,502,649,800,60,502,800,504,502,501,502,649,500,800,503,500,649,649,501,503,16,800,649,501,503,800,504,501,800,233,503,501,585,264,503,501,502,800,16,469,282,649,501,501,282,362,107,502,649,800,501,503,504,282,502,649,800,500,148,282,503,282,503,500,282,260,501,228,16,501,503,500,105,503,800,449,500,502,800,503,649,282,282,800,103,500,503,895,502,649,649,501,649,547,282,649,503,502,501,503,282,504,503,501,800,800,503,503,502,649,649,503,500,503,16,501,503,501,500,503,501,502,484,800,501,649,503,500,502,649,503,800,282,282,649,282,649,502,649,500,500,500,500,502,800,503,501,649,501,649,503,649,501,800,649,503,649,282,503,503,800,649,649,282,649,503,501,503,649,800,500,649,282,649,501,597,501,649,502,500,501,500,500,503,501,503,504,282,196,800,501,649,800,800,500,501,800,501,502,800,501,501,501,649,800,501,503,502,190,282,502,705,800,633,883,800,501,649,500,147,896,500,500,649,800,500,467,500,503,282,800,649,502,503,500,800,649,649,380,502,16,503,503,501,500,107,503,282,502,649,502,898,800,16,800,568,281,800,503,329,501,839,800,503,282,509,501,502,500,503,501,649,282,502,500,502,525,282,501,649,501,282,800,500,282,302,800,649,500,649,503,504,222,500,503,501,502,649,500,800,502,502,503,501,500,501,503,282,501,501,502,800,649,503,800,649,649,502,501,107,501,800,503,800,649,503,649,502,501,112,800,800,37,504,800,800,500,501,500,500,800,282,649,502,282,800,503,282,282,503,501,649,503,282,16,500,501,871,457,384,800,800,424,503,800,502,814,880,501,500,501,345,502,503,454,107,503,501,800,502,800,282,16,800,502,649,649,502,649,500,500,504,501,502,501,800,282,649,503,282,502,649,649,737,282,649,501,649,502,500,502,502,500,503,501,282,649,503,649,282,800,800,282,800,502,503,501,501,500,800,282,800,530,500,282,500,501,502,502,501,503,107,500,501,502,501,800,649,502,504,649,800,500,471,16,502,502,503,501,800,501,16,500,503,501,503,502,502,503,117,501,649,501,282,282,649,16,502,501,501,500,501,500,282,500,500,649,500,503,800,502,500,800,502,503,728,501,503,282,500,502,545,16,444,649,500,503,800,305,840,503,502,347,649,800,829,282,501,500,503,649,800,502,649,503,501,282,282,282,561,501,502,501,282,500,282,500,649,500,500,11,501,649,649,649,649,501,501,502,502,282,501,800,500,501,284,503,103,500,800,282,501,503,649,501,502,800,649,502,503,429,339,502,649,381,649,800,501,503,501,282,501,649,16,502,501,800,649,500,649,502,500,282,500,282,800,501,649,503,502,282,502,800,977,312,282,501,392,502,502,504,635,500,649,503,800,502,800,500,300,502,800,501,649,582,649,235,503,503,282,800,501,649,753,441,503,503,282,501,503,500,649,800,649,800,500,501,501,800,282,502,502,800,103,500,500,649,800,500,501,282,502,800,500,282,501,800,503,501,503,649,501,501,502,500,502,503,502,504,800,800,800,690,956,500,282,649,501,502,502,500,500,500,500,649,107,800,503,649,502,503,649,502,502,16,649,649,282,500,11,649,502,502,649,501,503,415,406,752,649,501,504,501,800,503,501,107,500,800,500,649,503,503,500,501,500,16,501,16,597,501,282,503,297,530,501,502,503,502,282,282,503,503,282,500,500,502,503,649,649,504,649,502,500,502,16,879,649,643,500,649,503,501,501,500,310,502,501,649,501,500,282,800,649,16,503,503,282,501,503,500,500,504,500,500,501,503,800,501,3,500,502,800,502,500,800,649,501,418,800,500,800,326,800,282,282,875,501,502,501,500,500,500,649,502,501,501,800,983,500,649,649,500,607,800,800,933,504,282,500,503,502,16,503,502,649,503,800,503,940,503,576,502,649,503,800,166,502,502,141,502,800,500,649,649,237,502,649,502,501,500,65,501,500,649,502,282,649,502,501,800,800,503,282,3,501,649,503,501,500,183,649,245,500,649,501,800,649,130,649,649,500,800,501,958,501,500,649,282,503,103,649,800,800,502,875,500,800,503,624,502,397,800,649,501,649,649,503,208,502,649,800,500,501,500,800,282,500,500,501,800,501,649,501,503,503,649,800,649,502,502,500,503,800,500,500,502,502,500,35,500,800,282,800,107,501,502,500,107,649,500,817,502,502,800,800,649,503,502,649,501,503,800,501,502,500,502,501,501,649,800,529,503,649,636,107,649,500,649,502,501,504,649,503,550,30,282,500,502,500,107,500,649,501,107,502,649,502,800,501,107,502,800,500,344,800,649,649,800,502,16,800,501,502,649,800,501,502,503,282,800,893,501,96,502,63,649,500,502,649,500,500,649,649,800,502,649,502,500,501,503,282,282,500,649,502,500,649,503,649,501,500,502,800,501,579,502,500,800,282,800,282,282,282,500,649,502,744,800,282,800,800,503,502,687,501,132,851,503,16,501,649,649,649,566,500,503,282,501,282,250,16,549,800,501,282,269,800,500,501,649,649,502,502,501,503,501,800,503,800,501,502,103,649,501,649,502,502,649,500,502,502,503,502,501,363,800,500,502,282,502,500,500,502,800,649,103,500,503,504,500,503,500,16,649,649,503,500,649,800,501,800,502,500,800,503,649,500,800,649,503,537,800,297,800,570,800,503,501,502,500,649,800,282,800,502,501,501,504,502,4,501,937,503,649,503,502,503,503,501,649,975,882,500,790,800,800,800,800,500,503,502,503,502,16,501,282,649,502,501,894,282,16,800,500,503,503,503,649,800,502,800,800,282,500,800,502,649,800,800,869,118,500,443,501,16,403,39,500,649,978,501,932,477,503,664,502,504,649,291,500,503,502,504,507,303,800,501,501,502,501,501,941,503,967,502,500,502,500,649,500,16,800,800,800,500,800,500,649,503,704,649,804,501,282,705,800,503,649,237,16,649,562,649,16,503,502,501,503,502,979,800,503,649,502,649,501,503,502,800,502,649,800,501,649,557,649,800,282,309,800,501,500,209,501,500,503,503,16,436,649,800,282,500,502,504,649,282,503,500,504,502,649,800,649,282,502,504,500,503,503,501,501,282,16,317,311,501,503,53,502,61,800,282,649,649,649,16,501,828,503,501,800,501,16,503,501,500,800,886,800,502,500,501,861,800,501,502,503,501,501,504,502,649,800,503,500,282,502,501,51,500,501,107,144,16,503,501,282,660,506,800,16,800,503,208,282,503,800,103,649,468,501,800,649,800,503,282,800,282,439,649,930,500,503,282,295,282,16,800,502,800,501,502,501,500,503,649,503,503,608,500,649,800,502,502,282,649,503,945,282,502,502,503,502,735,282,800,781,649,649,899,16,649,649,208,500,503,501,502,800,834,501,503,500,246,501,501,502,500,656,558,501,502,649,501,500,604,649,434,500,861,500,649,649,501,502,503,649,800,800,503,282,500,800,500,503,856,502,503,800,649,502,502,501,800,800,708,500,500,107,649,800,500,500,503,500,800,139,502,800,501,501,800,282,763,503,504,800,503,504,503,503,501,800,978,500,649,800,503,800,502,502,649,503,500,800,501,501,815,358,500,649,503,800,649,501,501,800,16,173,502,502,704,502,503,501,838,503,800,968,503,503,501,800,501,226,649,501,502,282,16,421,16,503,800,800,503,502,876,800,503,16,16,502,16,502,501,800,800,502,16,649,501,501,500,282,501,46,502,502,282,416,500,649,649,107,115,503,500,16,501,502,502,16,503,649,800,501,649,501,502,502,800,282,282,503,500,800,501,500,195,502,503,485,800,501,996,501,891,500,500,800,282,502,500,282,800,502,503,416,500,503,800,23,282,800,500,649,502,500,500,649,500,16,500,800,16,800,500,501,500,502,501,326,800,500,139,800,800,501,649,500,502,16,649,501,502,503,503,503,649,800,503,501,103,800,800,501,501,501,501,800,503,502,282,107,500,500,412,502,428,503,649,500,503,502,800,500,282,649,500,501,939,649,800,503,178,502,500,500,553,501,500,500,800,500,502,282,800,500,649,502,502,282,800,649,500,501,649,107,107,649,502,500,501,500,282,501,500,42,282,649,964,800,500,502,467,800,504,800,503,503,503,800,221,502,500,501,282,503,597,649,800,503,16,502,500,501,500,282,353,800,502,503,800,649,500,501,501,502,649,800,501,500,502,501,282,649,16,501,504,503,800,503,800,501,800,503,569,282,501,282,800,510,500,649,503,503,649,649,800,649,549,649,649,500,570,500,282,649,501,708,502,800,501,800,500,528,504,800,16,503,504,987,282,282,503,502,649,501,502,501,217,503,502,502,282,649,282,800,502,500,501,874,502,500,501,503,500,501,800,501,16,503,502,501,501,649,16,800,16,897,649,414,501,649,503,500,502,503,649,16,503,503,800,503,503,800,502,503,649,16,16,503,800,503,501,649,500,903,559,800,502,657,503,649,800,500,503,500,649,502,649,282,974,381,126,800,500,502,800,501,282,503,500,504,819,696,500,456,649,500,503,503,282,503,16,504,502,649,282,238,502,502,800,649,500,713,501,501,500,282,501,800,42,800,649,16,501,500,502,500,800,800,500,501,501,503,98,741,800,649,501,500,800,649,502,502,800,649,649,282,920,503,502,501,501,483,800,501,501,500,649,500,800,503,503,503,500,282,531,649,384,800,178,412,500,501,632,16,501,503,649,649,503,503,503,500,486,503,501,502,123,500,282,282,282,16,500,610,503,501,503,649,500,503,16,503,800,502,502,502,502,800,500,282,988,649,396,500,800,500,800,800,16,500,649,282,16,503,503,649,649,502,16,500,649,504,500,649,501,800,649,502,649,282,502,87,502,500,168,800,501,618,800,503,443,503,502,501,816,501,649,282,500,503,501,502,839,503,282,501,500,503,501,82,282,649,800,502,282,501,800,500,500,800,503,500,503,800,500,282,500,800,502,502,503,282,586,800,502,649,500,282,649,503,502,502,800,912,500,502,502,502,502,501,16,800,382,987,502,501,503,501,282,502,183,227,502,347,846,800,649,596,502,502,501,503,501,501,503,800,500,481,502,16,800,649,503,649,503,500,501,500,500,501,16,107,649,500,176,800,282,500,501,800,800,503,800,408,800,502,502,501,503,268,282,800,502,501,649,503,502,500,501,107,800,641,501,504,501,504,502,735,971,722,649,16,16,107,503,503,504,107,649,800,282,649,503,201,501,649,503,501,16,500,107,867,503,649,800,502,502,908,501,503,649,501,16,649,504,501,500,503,502,502,500,16,503,503,500,502,502,225,502,503,649,503,649,800,65,500,800,800,501,500,283,282,649,103,800,503,500,800,800,16,800,502,800,503,800,249,503,501,500,649,503,501,502,501,800,649,501,649,502,501,649,501,501,502,649,410,501,500,501,649,502,305,800,503,503,503,456,16,502,502,500,649,649,800,800,502,800,800,800,500,16,501,500,500,501,501,800,278,89,503,500,501,503,500,800,649,649,807,503,810,800,502,501,503,282,500,800,247,360,649,502,16,501,282,502,688,502,500,503,649,502,649,504,501,800,103,71,502,324,500,501,282,503,501,649,649,282,649,503,503,500,800,501,502,649,503,649,761,500,501,500,649,800,691,800,800,649,502,649,503,501,387,503,502,282,282,500,16,502,649,800,649,500,502,800,454,800,501,501,161,157,501,500,502,501,500,500,500,500,500,502,502,800,500,503,282,501,501,649,503,503,501,501,426,502,502,503,500,503,579,503,282,503,800,282,103,502,500,343,16,282,560,649,501,282,800,500,649,503,503,649,16,214,649,502,501,503,649,649,504,282,282,908,500,502,500,500,501,658,103,500,976,503,501,112,500,800,500,500,501,824,800,501,502,16,705,800,282,800,800,503,456,502,800,502,828,800,955,500,649,502,500,501,649,800,500,800,503,500,800,500,502,800,503,501,649,501,500,947,503,503,500,502,500,503,268,649,503,501,503,649,500,503,501,503,649,649,649,503,800,503,500,503,282,503,271,501,649,500,282,649,502,501,107,502,649,502,503,160,658,178,282,502,501,800,502,159,501,375,501,282,482,649,503,649,282,282,500,500,503,800,649,282,282,501,148,107,502,580,649,503,502,500,503,503,282,282,282,775,500,502,649,500,502,282,112,503,670,504,800,649,502,502,649,649,502,800,502,501,649,800,500,649,503,501,16,649,20,16,649,501,503,500,784,500,503,800,500,502,502,772,800,502,500,503,16,800,654,649,501,504,107,16,800,502,649,503,800,503,500,503,449,503,500,503,800,649,800,503,500,877,502,503,800,501,501,502,649,502,800,500,501,501,212,800,126,502,500,503,140,503,503,500,503,874,503,800,800,501,503,107,800,500,282,107,552,649,282,500,503,103,66,503,502,500,844,800,282,500,500,282,649,502,503,649,800,649,649,502,649,459,500,649,282,503,501,649,502,107,501,500,501,800,500,502,504,800,800,282,807,501,649,502,649,502,649,649,500,501,503,856,800,282,500,649,503,649,800,501,649,518,282,282,265,800,502,501,282,501,450,282,649,649,503,502,504,502,501,500,800,501,500,800,649,503,649,503,649,510,501,500,800,501,282,800,800,502,800,503,649,500,500,500,602,502,501,282,502,282,16,501,502,502,282,502,502,727,501,501,649,501,16,650,500,501,16,649,800,16,649,800,649,501,107,515,501,649,501,16,649,594,501,500,800,502,501,609,54,800,800,800,501,500,800,649,500,800,502,500,503,503,649,783,649,811,503,503,282,282,500,16,649,649,649,501,229,649,503,649,502,800,16,282,500,503,503,500,282,503,501,800,649,800,800,503,502,649,933,282,500,282,501,503,649,503,503,501,649,501,501,500,502,649,503,502,282,103,503,307,569,649,635,800,502,282,500,649,500,168,500,501,501,649,500,26,282,469,649,501,501,861,16,800,282,649,502,800,500,500,649,282,500,500,800,500,503,501,16,503,649,500,504,502,500,539,502,503,501,500,282,282,134,502,649,501,282,282,503,649,800,500,503,501,502,500,503,800,502,501,907,503,166,500,359,297,503,502,503,502,973,501,244,800,649,500,501,649,502,800,501,282,649,503,501,649,500,501,500,649,503,500,503,649,501,800,501,184,649,501,500,800,16,503,103,408,16,800,887,282,16,501,500,800,502,501,649,16,501,649,503,504,503,501,503,500,800,641,503,667,501,800,503,282,502,501,10,800,501,504,282,800,463,649,649,500,800,501,651,501,972,649,501,282,800,191,649,800,503,503,503,800,500,16,800,649,649,649,75,193,800,504,501,800,502,649,252,653,800,888,282,502,501,102,500,649,800,500,800,503,502,800,500,500,258,500,501,649,504,503,504,16,503,500,649,570,503,649,649,800,501,649,501,649,502,503,501,503,649,16,38,502,282,504,800,282,502,503,503,649,800,503,502,282,500,649,649,503,502,4,649,503,649,501,282,500,282,501,649,16,501,282,502,980,503,503,800,649,282,500,501,500,501,501,502,724,503,933,282,502,600,501,649,800,800,500,800,503,500,188,649,800,790,503,800,282,503,800,501,800,649,503,833,649,503,502,649,676,282,502,649,649,800,501,135,502,800,649,649,103,500,620,800,501,502,501,470,649,649,282,502,503,275,502,649,649,503,800,282,500,800,16,503,501,501,800,824,608,282,500,649,503,649,501,503,16,503,502,503,649,649,649,502,649,649,502,503,16,705,501,531,503,502,649,503,282,25,500,503,649,975,180,649,649,503,500,502,503,16,504,503,523,649,500,211,503,800,473,500,649,603,500,501,503,107,396,800,501,649,800,501,503,503,502,500,649,800,649,16,502,800,16,502,502,500,503,282,503,500,678,503,800,282,502,214,501,800,649,501,800,282,503,502,800,502,502,16,501,800,503,502,503,502,500,503,502,16,501,503,217,501,800,502,800,500,800,501,502,993,800,500,501,500,649,649,800,852,501,649,501,834,476,500,800,800,502,649,503,282,800,282,502,165,500,649,501,501,800,500,500,420,502,282,11,649,500,501,500,502,150,501,502,501,17,800,282,16,197,502,800,500,649,649,649,503,502,649,500,501,649,649,800,649,800,838,500,741,503,503,649,503,800,501,649,282,649,604,800,503,641,649,282,649,282,800,800,670,649,16,501,16,62,500,501,502,714,500,800,649,503,502,16,900,501,502,649,154,501,104,670,282,503,800,16,800,718,800,407,282,16,502,501,649,649,503,504,42,649,500,500,649,501,587,992,502,501,503,428,649,500,696,800,282,925,502,504,800,501,800,800,502,705,502,503,500,16,501,503,16,16,213,16,523,502,107,800,282,649,16,807,800,649,503,16,502,503,502,500,651,800,504,501,502,649,659,500,800,800,501,649,399,649,503,501,503,502,503,903,503,501,503,501,502,282,500,502,649,282,800,653,502,503,502,501,649,500,502,78,500,502,501,282,501,649,282,16,501,649,500,501,500,222,503,503,502,500,502,504,503,501,16,502,503,800,501,502,500,649,282,282,800,501,501,649,800,502,503,503,501,502,800,897,636,16,800,649,649,251,503,649,800,800,649,800,504,502,502,649,282,503,501,503,501,500,800,555,800,501,502,210,500,649,501,502,501,501,649,502,501,500,649,501,502,500,500,282,649,504,504,500,984,649,500,800,800,837,800,103,795,501,282,649,234,503,800,501,103,500,649,818,501,956,282,503,800,500,800,649,503,649,649,649,503,503,595,503,500,500,503,503,501,282,501,649,107,547,282,504,282,800,502,501,500,800,503,502,503,503,649,500,502,503,501,502,149,649,282,500,47,502,282,649,503,500,525,501,282,503,800,107,502,107,501,500,502,800,501,503,500,649,800,502,374,504,16,36,503,339,501,501,502,596,649,10,503,183,501,501,500,503,502,502,227,503,382,502,502,649,649,500,501,501,429,501,504,79,503,649,503,649,800,657,500,501,504,800,800,696,800,649,107,517,502,502,500,502,500,673,989,453,282,502,502,502,500,501,649,503,622,501,500,500,649,501,503,501,800,503,502,800,503,501,800,308,892,500,504,503,696,502,501,503,503,841,649,501,394,503,502,501,336,522,502,502,503,503,649,500,500,800,501,107,282,503,500,500,502,503,500,502,800,502,800,503,649,502,649,800,502,500,501,800,282,504,500,800,800,800,649,500,502,502,282,800,16,500,500,272,502,501,800,107,871,113,500,800,500,500,501,11,800,800,502,502,501,800,282,649,502,800,649,955,502,503,41,502,649,503,502,282,282,503,288,800,500,89,500,978,55,502,800,503,800,800,282,282,501,504,503,503,282,500,503,16,623,500,464,501,800,503,800,649,502,502,504,649,800,503,800,502,503,16,24,649,649,16,800,649,16,501,503,412,649,502,501,503,500,503,282,649,501,502,502,501,500,649,503,502,500,503,501,501,170,649,500,649,938,500,502,500,140,953,501,6,502,649,282,585,649,372,649,800,709,649,503,503,649,800,501,503,502,16,242,501,500,649,16,500,282,800,282,503,503,800,16,500,800,503,503,649,503,502,501,501,364,503,252,502,282,501,800,501,500,800,107,649,501,501,15,121,16,786,503,500,800,800,503,504,502,649,800,16,649,501,103,649,502,502,649,501,103,649,526,500,501,387,501,502,800,500,800,501,501,649,503,898,863,800,502,124,500,500,500,649,503,504,500,501,705,501,649,502,759,800,500,294,800,500,504,500,500,502,501,649,503,500,649,503,501,843,921,16,503,503,800,502,501,501,800,16,800,282,277,500,500,649,503,405,800,649,800,500,282,500,649,503,503,502,800,649,501,800,502,282,16,282,503,501,501,500,649,501,502,502,502,282,800,501,503,500,500,503,16,963,649,800,16,500,501,16,500,502,501,503,502,502,103,504,503,282,649,534,345,500,503,503,89,503,503,503,502,107,503,649,282,500,503,500,58,789,500,800,501,282,800,502,502,649,800,501,107,500,500,282,16,800,503,16,502,500,502,501,16,649,705,649,500,500,500,16,500,503,800,238,502,503,800,529,800,501,502,800,800,503,282,503,649,503,500,503,500,649,500,121,501,800,282,503,500,649,502,503,502,756,649,500,502,502,282,649,501,502,103,501,649,504,500,502,502,502,122,649,649,800,500,282,649,800,502,501,282,500,502,107,503,500,503,800,500,649,500,800,502,649,501,649,503,501,649,502,500,649,502,502,800,500,502,282,502,649,502,503,103,16,274,504,649,282,800,503,734,503,500,502,282,503,503,501,503,501,502,500,250,649,502,800,649,282,282,800,802,649,836,649,503,649,649,502,502,503,282,649,959,503,503,800,501,500,500,800,502,502,16,16,800,157,501,502,16,503,435,503,500,500,503,501,502,503,282,500,745,800,349,800,337,503,800,500,649,502,649,282,969,502,500,501,500,649,649,800,150,502,800,800,502,649,649,649,503,500,502,800,282,502,800,800,16,800,500,649,649,16,503,500,501,800,649,101,500,107,37,502,501,503,500,649,800,502,503,42,502,853,800,503,649,503,501,501,800,500,257,503,503,282,649,500,502,502,501,68,500,500,800,800,649,468,282,800,649,500,282,502,500,503,500,800,500,502,502,500,503,777,501,16,800,107,16,504,245,503,14,16,800,702,649,649,502,800,231,967,800,884,516,800,500,502,16,800,282,503,282,504,503,503,649,649,500,503,501,501,500,432,800,500,649,502,649,503,500,503,503,504,137,503,649,504,503,501,649,282,502,80,500,649,500,502,500,501,502,502,503,649,504,502,502,800,501,500,501,503,503,501,503,649,503,909,282,501,503,649,800,103,800,649,282,16,501,501,503,502,503,503,649,501,800,117,503,501,501,501,800,503,16,467,649,649,649,500,500,436,501,282,503,502,502,500,800,282,800,71,107,500,500,500,994,574,649,800,312,500,502,502,705,649,501,266,500,502,999,501,501,800,502,501,282,502,503,16,159,103,194,29,501,502,800,800,502,500,502,503,649,500,800,503,500,500,502,502,500,800,503,503,501,500,500,649,503,282,800,800,282,500,649,282,16,500,649,800,501,649,503,509,501,124,504,503,502,503,502,649,502,800,500,516,649,502,502,503,502,501,500,502,649,800,800,649,500,503,502,502,649,649,502,649,258,800,500,734,800,502,502,798,501,800,800,503,501,501,800,800,231,800,502,502,504,501,501,107,501,800,649,649,873,501,649,503,503,502,800,649,306,702,594,800,502,500,996,504,282,282,282,972,502,649,500,501,649,282,503,649,649,503,800,649,649,649,501,500,502,502,800,800,501,790,16,649,500,376,16,16,500,800,122,503,282,501,508,550,649,502,527,649,711,503,503,502,500,829,862,800,502,649,282,500,501,502,502,501,800,282,502,282,649,500,500,503,502,16,35,229,509,800,502,800,500,500,800,501,282,649,503,502,504,800,649,800,502,503,800,282,501,800,501,649,501,282,649,501,502,800,800,502,649,103,500,649,501,503,501,807,517,502,800,502,516,501,503,543,503,800,503,16,649,354,502,500,649,649,501,502,503,500,501,649,500,800,867,502,503,649,282,649,504,800,501,502,503,649,649,282,649,586,902,649,503,850,282,500,500,649,16,503,503,91,500,454,502,800,668,503,503,503,282,502,501,500,501,282,502,502,503,282,282,500,962,500,800,16,838,502,16,282,503,503,800,800,822,503,501,500,800,342,501,502,502,500,649,649,503,649,649,800,248,501,500,649,649,503,282,501,967,503,16,500,501,649,503,500,16,800,503,282,501,501,800,503,500,16,649,649,501,503,502,282,649,264,103,502,500,16,500,282,500,503,841,649,501,886,501,501,503,716,501,500,397,800,502,502,500,501,649,501,282,500,800,500,16,501,649,16,503,197,441,500,649,16,502,500,739,800,649,800,16,282,649,191,649,500,950,501,502,501,502,103,282,393,16,948,502,503,800,282,16,282,800,502,800,649,649,502,800,502,504,502,501,295,952,501,500,282,482,504,16,503,649,503,287,502,16,800,282,500,282,942,800,503,501,502,649,282,649,800,501,502,503,800,282,501,649,500,502,502,932,502,649,502,282,120,649,800,503,800,502,649,501,502,502,500,800,800,649,500,800,501,501,838,502,800,649,37,501,501,503,502,649,503,503,503,649,500,503,16,282,500,282,800,800,500,503,500,501,591,800,501,764,16,649,282,800,418,500,800,502,78,649,800,649,503,365,501,500,502,649,300,503,501,503,649,503,502,649,649,502,282,620,800,800,501,800,502,649,503,649,327,501,282,500,501,502,800,501,800,394,660,503,503,503,503,502,282,800,246,500,823,800,500,282,503,500,501,800,649,500,800,500,800,501,304,501,800,501,500,503,16,107,501,500,500,500,500,500,503,800,849,500,501,465,503,504,502,500,48,282,502,500,503,649,649,503,503,445,800,502,500,500,649,501,500,500,502,611,502,649,501,502,910,937,649,649,649,282,718,503,649,282,503,800,501,800,800,503,800,501,503,502,39,500,501,501,80,282,282,501,502,971,504,502,503,282,649,267,282,649,501,649,800,16,800,503,500,501,501,500,501,649,503,800,237,501,800,500,500,503,800,500,553,282,232,705,649,501,501,501,800,501,503,502,649,800,800,649,649,500,649,503,649,649,500,649,16,501,503,502,63,503,800,16,649,503,649,503,599,503,501,501,500,503,807,502,800,800,503,800,118,502,503,502,800,501,282,502,800,500,800,503,107,649,501,502,800,800,500,649,649,469,649,800,649,501,503,502,501,503,502,54,500,649,503,500,501,307,70,500,502,16,906,282,503,501,503,649,282,502,502,649,503,649,500,502,649,103,649,16,502,500,344,501,501,204,800,649,780,500,800,282,503,16,502,282,503,502,503,649,501,501,83,282,502,649,503,396,502,503,649,503,500,501,500,503,800,282,502,282,504,500,502,398,649,502,502,500,888,428,502,800,502,16,501,649,503,500,282,282,649,577,502,800,503,503,649,500,97,203,503,107,800,501,502,800,649,501,504,502,500,800,500,501,235,668,503,501,502,501,500,500,800,500,649,502,800,501,137,501,649,500,800,502,800,502,503,107,282,501,502,16,649,282,500,800,649,956,501,501,649,502,649,649,500,503,649,649,993,502,500,500,649,649,503,649,500,649,800,51,502,500,649,800,649,500,282,501,501,800,16,234,800,282,649,800,500,503,501,649,971,16,501,501,501,16,500,649,649,649,440,503,500,501,502,800,500,649,282,500,947,502,502,501,501,565,649,500,649,282,282,649,282,500,501,799,282,500,500,503,500,502,282,649,501,124,800,501,501,500,500,501,502,649,503,500,502,503,500,290,16,501,849,503,95,103,282,800,282,501,503,800,503,501,649,502,503,16,503,501,282,502,800,649,649,649,501,282,502,502,501,500,649,800,500,16,16,282,503,501,649,16,649,502,16,503,500,502,503,502,657,501,501,500,503,503,800,501,500,500,800,282,649,503,501,16,500,800,833,649,503,500,503,649,501,390,501,649,16,282,16,282,282,502,501,503,500,282,800,800,500,501,500,334,649,500,500,502,649,503,503,503,500,501,503,503,334,800,26,501,800,500,282,503,503,501,504,282,501,800,501,800,502,504,282,501,649,16,503,800,502,830,649,501,800,649,800,282,501,649,501,649,649,502,649,800,501,16,282,649,502,800,500,503,503,698,649,502,500,649,282,800,599,500,502,335,502,649,501,450,502,502,800,503,503,890,649,501,501,502,502,800,16,649,501,800,501,502,649,800,501,800,649,500,501,282,926,321,502,503,649,503,501,649,502,16,500,282,502,133,649,502,16,502,502,500,501,161,501,999,800,649,800,800,282,501,649,496,503,910,500,502,503,282,501,495,502,503,501,501,800,502,282,502,501,800,503,500,501,800,987,501,503,503,800,649,194,282,628,649,299,500,501,500,503,119,500,649,500,649,800,16,501,500,813,282,502,649,132,649,502,500,502,503,649,649,282,800,502,500,501,500,503,711,503,410,649,501,502,649,502,282,103,503,502,502,800,502,8,503,503,800,503,503,501,501,502,500,502,800,503,503,500,930,501,501,503,16,501,500,501,649,282,503,501,501,442,502,500,24,501,502,500,501,501,500,501,103,500,800,800,500,649,501,136,282,800,649,800,501,503,649,45,501,502,501,500,503,800,649,503,649,501,800,878,649,152,503,897,800,500,363,502,585,562,502,712,503,500,380,502,501,606,649,886,502,501,503,800,649,800,501,649,282,504,986,800,500,503,503,163,926,467,800,266,653,649,501,500,501,500,16,503,649,501,800,500,800,800,501,800,503,800,649,649,502,282,800,282,501,762,806,649,39,649,504,649,16,649,649,273,800,800,501,503,391,503,502,830,800,649,503,800,800,502,500,503,501,500,282,503,502,870,503,502,500,503,649,800,649,859,800,282,500,800,501,649,282,501,800,501,501,501,649,500,800,800,502,502,282,501,800,649,500,282,649,500,16,501,500,659,501,800,501,649,896,503,800,282,502,500,504,501,504,501,800,649,504,800,417,815,502,800,649,282,282,503,771,372,282,32,649,503,147,699,502,502,282,502,503,502,107,503,501,800,503,282,502,649,501,348,649,502,800,501,502,500,500,503,649,500,503,271,649,649,503,16,16,503,282,649,500,500,503,800,800,501,16,503,503,504,501,501,800,501,282,800,501,500,501,503,800,500,501,502,503,16,788,282,395,500,832,503,502,500,649,16,16,502,800,800,503,16,503,855,535,649,502,528,502,500,500,528,500,500,500,800,800,503,107,503,500,16,800,503,502,107,504,502,282,501,800,590,500,220,504,16,282,502,502,282,502,500,800,800,500,503,282,979,502,502,103,649,502,501,282,944,502,111,849,501,501,902,503,502,502,500,21,817,500,800,800,163,503,502,282,503,282,964,93,501,501,500,675,500,103,649,501,503,503,501,503,501,502,500,800,503,500,500,503,16,16,503,502,282,503,686,16,502,282,800,502,500,282,503,282,800,501,501,282,503,269,386,154,501,800,800,503,500,503,500,16,500,800,501,502,807,717,500,504,264,503,502,503,500,887,649,500,800,568,501,501,500,500,282,282,800,503,649,503,800,502,972,649,649,800,502,800,649,500,953,649,282,502,501,503,282,649,502,872,501,500,501,905,649,501,282,504,649,502,502,107,500,800,501,282,649,500,502,501,502,502,649,649,500,503,500,503,622,649,800,542,501,502,546,649,649,500,503,817,500,865,501,16,800,16,500,502,501,282,800,800,500,500,282,448,649,649,239,800,500,536,649,500,503,500,268,501,501,649,16,500,502,503,282,986,503,277,502,501,501,503,502,226,16,202,503,500,111,649,649,500,503,155,316,152,501,282,612,59,649,8,649,800,500,500,282,282,800,16,500,500,800,501,800,500,503,501,800,649,501,800,850,501,88,800,502,800,502,676,66,800,500,283,671,500,501,649,282,500,800,500,503,501,501,100,502,500,282,503,501,502,16,800,649,649,312,502,282,649,502,404,16,502,282,502,483,501,502,649,800,500,16,367,800,282,502,649,35,502,800,282,800,501,282,501,909,107,500,500,282,800,500,800,512,503,800,912,840,649,649,649,500,502,502,501,73,502,649,501,649,833,500,504,649,500,501,501,500,502,800,800,649,800,16,501,800,800,800,500,501,503,800,500,103,649,501,649,502,755,705,649,800,800,502,500,554,503,503,501,502,503,502,282,503,649,504,649,649,502,503,501,16,504,282,501,501,107,501,501,800,282,649,800,800,405,16,500,282,503,649,16,502,800,800,282,800,502,504,282,502,501,502,282,889,500,500,501,504,282,282,502,501,649,462,501,501,501,503,368,502,800,502,649,502,503,800,800,500,84,503,503,800,16,800,555,500,501,649,501,501,282,503,500,649,649,502,800,502,649,500,502,16,500,800,649,282,500,667,500,16,649,503,501,800,172,282,500,501,219,503,673,502,548,983,649,800,800,649,282,500,501,501,500,800,502,503,792,501,502,562,500,649,649,178,501,7,501,16,800,649,282,501,501,501,6,649,502,800,800,502,800,16,502,503,501,501,282,501,649,503,649,649,503,800,503,503,649,501,649,636,800,503,503,800,649,800,649,500,501,501,500,649,503,50,580,994,107,503,532,800,501,500,649,501,500,502,649,500,800,800,501,800,649,16,503,282,500,501,800,649,16,800,282,800,501,503,800,649,503,800,501,503,738,502,503,501,649,502,501,129,502,649,503,502,503,354,649,500,800,206,501,400,800,503,800,649,501,800,800,502,501,500,500,502,500,282,649,503,502,649,314,500,501,501,502,649,800,502,502,503,503,501,500,649,224,401,800,946,705,100,649,800,500,501,503,800,282,500,502,503,649,500,500,800,510,16,282,502,504,649,649,649,649,800,718,649,456,282,500,502,800,502,503,800,649,501,503,503,245,800,502,800,989,640,503,503,649,503,502,282,502,800,649,502,649,800,649,649,504,501,502,800,107,800,649,800,503,503,16,807,800,501,835,649,503,503,501,939,800,282,860,503,500,503,503,800,503,502,500,500,503,502,788,800,16,282,501,501,649,135,501,501,502,500,503,282,502,234,503,16,500,800,502,501,502,282,502,378,502,479,501,501,501,502,503,500,800,649,800,504,478,448,817,649,502,502,282,501,501,649,800,991,749,503,649,502,500,107,282,800,503,503,503,351,502,136,501,500,649,800,260,323,501,649,649,503,263,416,81,649,800,502,500,500,501,502,800,282,502,503,502,800,649,649,500,800,800,503,125,500,282,503,500,282,501,649,503,502,800,734,282,501,282,503,649,649,438,502,503,503,927,500,282,649,649,800,570,500,800,501,649,501,503,800,502,500,259,278,800,501,800,507,501,503,501,503,502,500,502,264,502,282,502,916,800,503,503,500,501,500,501,649,501,649,502,503,501,649,501,649,649,500,501,503,500,282,691,502,503,624,282,800,501,282,800,282,800,500,282,501,502,503,503,502,649,501,800,800,202,800,649,800,800,501,649,649,820,502,502,501,500,502,107,502,503,501,500,282,800,501,502,800,649,5,502,800,501,500,502,282,500,649,800,282,501,502,500,501,501,500,649,500,501,800,649,500,500,501,649,503,501,649,800,500,502,800,500,502,800,502,649,501,107,501,504,585,800,502,103,500,501,503,500,500,800,501,800,649,501,503,502,649,649,502,441,627,649,501,501,502,502,502,587,649,502,502,502,649,500,384,503,16,816,282,800,503,678,649,800,953,311,649,649,501,649,501,844,800,500,501,649,504,800,649,502,503,800,502,473,282,502,282,800,502,649,500,936,503,282,649,282,649,840,460,498,649,500,649,649,502,501,649,503,501,435,717,501,503,502,480,470,502,107,800,240,502,649,800,500,800,500,502,649,16,500,189,503,16,500,502,503,257,500,170,500,800,479,500,800,503,501,545,502,649,500,627,503,79,502,501,282,800,800,649,500,649,504,501,856,800,502,800,502,800,502,501,800,501,649,649,282,649,503,501,501,503,16,282,501,500,501,500,282,339,502,501,16,282,501,800,800,107,500,649,500,504,217,500,502,800,502,500,649,800,502,649,649,713,500,585,649,800,502,503,816,800,500,503,503,501,503,334,649,649,800,500,500,500,154,503,993,503,502,385,800,649,500,500,502,504,37,500,501,503,800,16,502,501,800,228,501,500,649,502,930,649,500,500,501,502,608,503,503,500,501,708,800,948,503,649,16,501,500,800,501,502,500,103,503,502,219,800,502,500,502,649,500,501,800,375,800,501,501,800,295,501,501,579,184,800,77,649,503,500,502,501,501,503,500,649,500,649,800,282,501,502,502,846,649,501,282,503,649,502,954,503,502,107,500,52,107,501,500,800,800,282,800,724,282,800,500,800,60,503,502,502,503,501,107,649,282,800,502,16,502,503,503,726,89,500,502,892,504,503,502,501,501,501,800,649,503,800,16,500,502,371,649,503,649,767,500,500,500,502,800,800,500,800,504,500,502,500,282,501,282,800,800,501,503,500,502,800,479,599,503,502,500,282,500,800,282,502,649,500,800,503,501,649,502,282,501,800,800,501,503,503,649,800,502,502,800,800,649,800,369,619,500,503,800,502,503,502,282,800,502,500,800,500,227,775,800,501,107,282,504,867,110,501,800,649,501,500,592,649,800,503,503,31,649,500,500,500,800,501,500,502,282,649,789,501,800,800,503,502,282,912,649,859,649,501,503,502,501,837,800,500,800,502,501,229,501,282,649,282,800,503,282,503,649,800,144,482,282,969,649,107,500,800,502,504,107,503,649,503,501,500,649,500,503,503,981,103,501,366,503,800,282,282,448,800,649,503,88,129,500,501,503,500,800,502,503,282,502,800,503,504,391,503,501,823,501,503,16,524,633,503,649,501,279,103,500,503,501,16,503,501,503,900,649,500,502,340,500,502,502,800,559,649,103,800,666,502,502,991,649,282,501,800,649,502,800,800,502,649,502,562,503,502,500,809,800,502,649,501,502,854,307,282,500,16,502,503,500,800,501,500,501,649,618,503,502,649,800,282,502,649,800,501,500,503,800,282,800,980,649,649,501,503,503,503,503,800,500,649,800,504,503,282,282,503,501,204,503,815,800,649,800,800,500,649,502,649,501,500,800,592,503,695,649,273,482,261,500,649,728,16,501,645,503,16,500,501,500,502,500,392,282,502,455,543,502,800,282,503,282,592,502,501,501,501,503,800,282,503,501,503,800,500,501,282,504,16,121,503,800,500,800,502,500,282,501,502,174,502,649,16,649,424,501,502,649,500,282,572,800,990,500,800,501,800,503,649,500,502,649,800,282,800,501,282,969,502,501,649,500,649,503,368,649,502,282,500,501,649,649,343,501,501,649,501,500,502,649,800,800,500,649,503,584,800,649,75,674,100,501,503,502,500,502,800,895,800,800,800,440,105,503,501,398,503,800,16,501,500,502,282,282,502,180,502,503,503,502,649,503,500,649,500,502,649,500,649,503,503,649,503,800,501,649,501,465,502,800,501,501,503,503,693,282,649,502,500,649,501,800,503,800,501,500,503,503,500,800,503,503,501,503,500,504,649,502,649,500,502,800,500,282,800,502,649,102,649,502,800,800,502,649,800,294,704,649,503,800,501,111,504,800,477,649,500,800,649,3,359,800,501,800,503,800,501,282,800,282,501,502,297,649,502,16,41,503,107,503,800,649,875,649,649,703,800,503,263,502,737,815,501,97,315,503,503,800,147,500,503,500,649,502,500,173,800,907,502,502,800,500,282,500,649,649,581,919,282,851,16,501,934,649,500,477,501,501,561,502,800,500,16,502,282,504,503,649,354,649,978,16,503,800,500,520,699,800,503,282,16,503,649,800,649,66,107,16,642,502,503,500,503,649,504,280,502,800,501,503,16,282,649,502,502,502,501,649,500,501,503,500,893,500,501,282,800,649,800,501,503,632,500,521,16,500,502,502,500,500,503,501,501,746,504,649,649,501,503,500,649,500,990,482,800,649,789,500,800,649,649,503,501,502,16,502,502,449,502,501,502,504,503,500,800,282,583,503,649,649,800,500,500,501,800,501,800,649,503,502,800,500,928,501,282,649,502,649,649,107,500,502,502,800,800,503,800,50,503,503,500,649,503,500,800,800,649,800,628,503,502,503,501,501,503,502,377,800,800,649,500,501,649,649,740,501,500,16,501,350,503,501,649,500,649,502,800,501,835,649,282,938,613,500,502,649,494,800,500,503,502,282,16,649,686,800,988,503,16,705,649,16,500,800,679,282,282,649,501,16,56,16,503,501,500,282,800,501,501,800,500,16,649,503,136,500,503,800,501,501,500,649,503,649,501,649,500,282,433,800,649,649,103,501,503,500,191,649,502,503,500,641,500,800,800,16,800,501,657,503,501,502,501,502,65,649,502,649,800,501,501,885,502,800,800,282,503,649,214,503,774,504,500,800,502,501,502,800,503,282,503,649,237,649,649,502,97,800,282,500,501,503,500,800,501,955,16,16,503,807,800,502,502,800,800,503,504,800,500,282,382,504,503,640,503,503,800,501,502,501,282,502,119,502,800,502,282,500,501,503,503,500,800,501,501,649,500,500,500,501,649,503,800,503,649,501,502,649,876,502,500,16,501,500,503,502,503,800,800,649,282,503,649,502,282,501,800,503,502,503,501,16,649,16,800,501,649,503,502,282,649,503,501,649,503,501,500,501,500,593,501,503,770,649,501,503,502,649,502,800,500,800,503,462,501,649,502,800,502,282,501,107,146,800,500,800,500,649,800,500,649,800,800,490,503,502,649,502,500,501,404,800,501,503,311,502,503,500,502,649,502,800,649,501,503,649,800,136,500,649,501,192,500,649,502,501,500,649,649,501,502,503,500,500,503,132,503,362,649,800,703,502,503,502,503,503,503,709,503,500,502,649,278,502,649,629,502,649,503,500,501,229,503,502,502,649,503,501,649,503,504,800,500,800,16,649,501,649,649,503,800,282,502,503,487,500,500,282,649,649,502,649,504,503,885,649,500,503,503,649,501,502,649,651,800,282,800,500,649,500,515,649,502,500,800,800,502,282,800,500,502,503,888,503,282,501,503,16,800,500,500,501,501,196,502,649,55,501,850,501,502,501,649,501,502,16,500,500,500,762,800,800,501,503,502,649,501,501,503,522,649,502,500,500,503,649,649,501,282,500,501,502,501,282,503,800,800,695,503,282,503,503,503,753,282,107,644,189,503,502,501,649,795,502,501,800,800,16,999,502,503,16,503,503,500,502,800,282,16,649,800,489,800,415,241,502,282,800,448,500,500,282,649,649,282,649,500,145,800,649,501,479,800,503,502,504,649,282,16,503,503,826,503,82,503,800,396,282,649,502,800,282,977,502,282,502,503,282,500,502,649,503,502,800,282,800,649,649,649,502,501,649,282,649,649,503,649,501,107,503,282,16,502,501,502,649,649,485,502,502,503,800,500,501,282,16,502,500,988,500,501,502,502,282,502,503,649,500,649,649,501,501,503,500,800,649,800,800,649,502,16,583,800,282,188,502,649,107,649,500,503,649,502,500,649,800,502,282,503,501,282,502,56,500,16,503,23,282,649,501,504,800,502,500,503,16,504,103,501,16,502,649,282,282,16,501,800,502,503,142,649,503,500,800,272,800,503,282,501,501,502,548,503,856,500,503,503,502,800,500,502,502,500,501,502,503,282,761,800,500,501,503,188,800,100,501,800,16,501,503,800,649,41,501,800,649,502,16,502,500,504,500,500,501,500,501,500,800,502,800,649,503,3,515,282,502,500,503,503,282,500,282,649,500,503,800,800,500,649,500,503,282,502,504,503,502,502,649,800,800,503,500,500,500,501,500,800,86,846,16,502,503,262,922,500,800,800,846,501,503,649,649,502,245,319,504,800,800,485,282,16,501,500,282,800,649,484,504,649,503,503,502,649,649,650,503,800,282,187,704,649,649,503,503,501,502,503,270,800,58,501,282,500,800,860,501,504,515,649,800,649,800,800,501,987,800,800,800,503,503,502,502,16,501,500,503,502,738,282,530,800,503,107,800,282,500,500,649,798,349,502,501,800,502,649,800,16,649,500,282,500,502,500,503,800,282,54,501,500,800,501,649,649,502,501,447,500,502,649,800,472,503,500,800,501,282,649,114,282,500,501,701,904,501,500,800,649,502,800,649,282,502,500,732,649,805,952,649,502,502,649,282,503,501,649,48,649,800,500,500,346,503,649,186,649,776,500,500,502,503,800,503,502,21,502,503,503,649,800,500,500,649,503,503,500,649,501,649,502,504,503,282,43,16,282,502,502,124,649,649,800,800,500,649,502,502,500,649,282,503,501,500,500,501,500,649,501,502,209,649,800,500,503,500,800,501,174,500,649,649,318,649,282,431,800,649,800,500,602,902,503,500,16,649,16,503,800,500,500,785,800,282,503,834,502,800,298,800,800,282,500,504,500,482,502,503,446,189,649,503,501,500,503,501,800,800,500,501,282,649,813,800,502,501,649,501,501,503,219,800,503,500,705,649,338,282,387,503,502,500,16,649,800,99,649,800,649,800,502,282,503,649,500,502,800,649,800,504,500,491,282,504,16,502,503,500,502,500,500,503,649,304,501,667,502,500,503,649,502,649,800,649,649,502,909,503,503,541,800,282,503,503,649,800,257,501,800,800,800,503,88,502,502,649,649,500,649,500,16,502,16,500,501,501,503,500,503,282,502,800,16,649,500,282,501,800,500,282,969,649,500,832,500,500,649,501,282,501,502,649,500,800,800,504,800,800,654,282,649,503,527,501,649,282,649,337,649,502,786,649,282,503,500,501,827,800,800,800,800,282,500,502,501,500,500,634,503,370,800,501,800,800,800,649,282,800,503,649,501,282,649,502,105,800,500,500,800,649,500,649,500,501,649,502,649,800,649,649,16,501,504,800,500,500,502,502,501,500,649,500,502,649,502,501,501,16,833,800,502,800,649,342,867,502,800,800,282,503,502,800,500,649,501,991,282,800,503,649,779,649,649,649,502,503,500,503,502,503,501,800,109,800,503,445,501,503,800,503,800,503,500,503,800,649,282,503,262,961,502,800,466,800,500,503,503,503,502,501,800,500,502,747,282,16,500,500,282,501,501,504,501,327,501,282,282,503,502,502,649,500,504,503,282,500,649,948,27,503,501,649,282,500,282,282,503,649,500,501,500,500,500,500,500,503,503,800,502,504,503,649,649,502,503,553,306,500,502,252,552,800,500,503,649,649,501,526,503,501,501,501,800,503,649,501,800,872,71,881,500,800,282,503,504,228,501,800,502,800,863,503,500,504,124,502,282,502,501,800,500,502,649,649,502,800,501,501,500,504,500,503,502,282,502,286,502,282,502,800,765,500,800,649,501,501,502,501,500,649,501,502,269,282,501,649,16,502,502,503,484,480,800,501,649,649,282,502,649,649,649,502,504,503,649,500,502,502,501,500,500,482,800,504,502,649,500,649,461,501,501,445,503,800,503,502,649,800,651,500,800,282,649,501,502,501,502,649,606,501,282,800,500,800,649,800,695,503,994,502,502,649,500,501,282,103,649,501,500,504,501,649,501,500,649,502,800,502,686,862,649,800,502,807,503,649,502,502,501,800,503,562,533,503,503,649,649,500,649,800,500,500,503,501,16,503,501,503,282,649,502,503,500,502,501,503,800,800,800,800,800,503,501,649,282,500,649,282,500,502,282,501,503,500,282,282,282,567,800,502,501,800,502,16,501,282,103,16,282,649,649,16,649,503,282,502,204,503,503,649,649,671,649,282,800,500,503,16,500,500,501,800,800,503,282,107,500,504,649,754,501,503,502,501,503,282,16,649,649,16,800,16,677,501,549,800,500,501,503,500,501,372,501,502,503,503,503,501,503,500,500,800,16,501,282,500,800,503,649,649,16,800,502,502,282,800,800,16,500,500,800,501,880,282,500,500,502,503,649,501,500,800,500,500,500,503,503,800,503,137,502,800,503,649,519,282,503,649,503,103,800,503,501,501,107,331,351,17,800,502,649,800,800,503,501,502,649,649,282,800,503,502,649,650,723,503,282,258,649,502,649,16,800,501,502,501,503,649,800,649,800,800,501,502,282,502,649,390,649,649,503,800,500,504,649,851,155,649,500,502,503,503,16,800,800,771,800,800,800,800,502,502,503,247,649,500,503,501,241,501,80,282,649,503,16,500,107,800,649,500,800,501,800,588,502,502,282,649,800,719,649,501,501,800,503,501,800,504,502,503,502,807,282,322,800,292,500,800,503,500,147,649,501,282,500,503,503,282,443,501,502,282,670,502,500,426,800,503,675,119,649,649,500,136,649,502,502,800,501,501,649,1,500,501,649,800,503,501,282,976,282,500,503,503,500,16,649,261,107,649,500,634,501,504,503,502,501,501,712,649,503,241,282,500,500,502,503,500,502,140,800,501,257,282,500,502,282,649,503,800,500,503,800,501,649,800,501,282,503,503,800,502,502,649,792,649,502,800,503,500,223,984,502,500,690,16,800,800,500,649,80,503,501,501,501,503,16,24,500,500,300,504,502,501,349,500,500,800,800,800,501,800,627,500,502,503,500,500,768,649,948,500,502,501,504,282,649,800,377,103,502,501,649,503,532,800,758,500,282,503,503,501,503,501,500,503,504,885,502,503,184,502,649,374,502,501,503,503,503,649,926,500,502,501,502,503,282,500,800,500,800,110,500,503,500,502,500,500,282,282,724,441,800,578,500,502,282,800,503,649,282,800,649,800,282,503,577,282,10,649,427,649,653,649,649,800,649,741,500,501,501,649,705,800,800,827,503,503,282,503,500,503,649,501,501,503,800,509,502,649,500,501,500,800,503,157,800,16,282,800,306,503,503,649,249,800,500,809,180,502,503,501,500,503,800,282,800,800,800,500,649,503,501,503,27,649,502,501,649,502,502,502,500,501,282,282,500,502,500,502,282,501,711,500,501,500,503,649,800,649,649,649,502,503,503,649,502,502,502,649,500,501,800,249,800,500,503,282,274,649,649,800,275,800,705,501,503,503,165,502,394,502,501,282,282,269,234,501,500,282,800,503,503,500,292,100,501,642,800,500,500,16,503,297,31,128,800,649,800,503,503,500,282,800,503,649,107,503,601,500,500,282,500,89,282,800,501,503,502,604,503,500,503,502,502,245,16,503,503,651,902,503,503,502,800,293,433,793,504,282,503,500,800,649,501,107,282,90,803,502,500,502,800,503,800,503,649,501,501,503,792,649,502,501,500,649,649,445,503,500,500,501,500,282,282,871,603,502,502,800,502,502,503,16,84,503,503,387,501,503,107,500,503,503,733,502,800,282,503,218,649,232,800,907,167,502,649,800,649,800,500,502,800,502,501,800,649,649,16,500,888,502,800,282,374,503,501,163,800,500,500,214,503,649,500,502,500,503,501,501,504,800,282,649,501,501,649,503,800,807,503,682,502,502,502,502,502,845,502,800,501,502,282,800,500,649,503,501,800,907,500,649,502,274,501,503,414,503,501,502,501,800,502,649,503,502,501,504,800,705,983,501,503,501,800,503,501,500,502,501,503,800,649,649,156,502,282,503,502,800,502,500,502,103,282,282,649,827,649,502,24,800,502,500,649,649,942,500,800,503,649,500,800,503,502,800,282,649,502,500,649,503,800,107,474,500,904,500,502,16,502,800,501,500,502,800,649,503,649,503,649,649,898,502,502,649,381,77,501,500,500,67,848,503,502,483,440,503,16,16,649,710,371,282,649,500,500,800,503,649,800,503,501,800,502,503,589,800,503,502,711,107,800,412,282,800,500,500,500,503,86,649,503,503,725,259,649,800,500,502,899,649,503,500,800,649,500,500,500,504,282,503,500,500,501,108,649,502,500,503,503,502,503,800,800,503,501,649,649,503,503,501,503,605,800,649,500,503,706,800,918,649,501,501,649,502,501,800,503,504,503,503,503,501,354,16,502,282,800,504,282,500,502,503,502,649,503,929,282,800,282,501,503,503,107,990,503,500,800,649,502,800,501,503,649,502,635,502,502,649,501,502,500,501,501,282,502,800,800,500,649,500,649,501,504,649,500,501,649,496,297,800,800,503,800,501,649,502,501,503,800,504,503,501,503,153,253,800,282,800,500,503,649,282,16,463,282,503,977,503,649,327,502,500,501,502,500,500,800,504,500,500,503,501,649,500,501,501,502,282,502,503,800,503,501,501,502,502,502,649,16,504,502,500,649,16,502,649,501,501,501,800,800,282,800,800,501,501,282,249,503,16,906,501,649,502,503,501,649,501,800,501,501,269,342,107,500,649,502,501,502,500,502,503,503,649,500,500,800,548,500,600,501,282,503,500,500,502,502,502,649,502,103,800,800,711,503,649,16,649,282,502,128,649,800,20,503,800,800,90,502,800,649,649,800,649,500,282,649,502,500,503,503,500,649,503,502,649,800,500,943,503,502,16,503,500,282,502,777,501,500,503,649,800,800,504,705,502,500,282,502,501,503,501,501,502,500,649,502,501,500,502,989,503,282,800,649,501,107,503,500,500,727,502,649,952,649,501,503,800,800,500,800,649,740,649,800,282,800,501,500,649,500,282,500,504,501,503,500,501,649,649,874,282,501,501,653,503,500,503,500,649,307,502,503,501,65,649,800,501,149,502,282,800,503,800,503,16,500,503,501,502,501,834,282,502,649,649,649,314,503,503,800,649,504,649,501,800,500,500,974,502,502,668,504,503,649,502,502,502,282,503,502,501,502,501,503,502,500,800,501,503,16,649,16,758,503,800,501,504,500,500,503,503,501,502,501,657,800,881,502,501,649,800,649,649,282,800,500,649,493,501,501,16,800,649,501,84,501,800,502,501,501,503,781,705,501,503,503,578,501,504,502,500,504,800,649,500,786,649,282,397,649,502,16,503,500,842,34,501,500,649,800,502,410,649,503,501,800,649,502,800,502,502,503,800,16,527,800,1000,500,501,792,282,502,812,500,225,649,501,503,649,501,500,500,649,501,297,800,500,282,444,800,16,649,800,503,502,500,16,649,502,800,282,800,282,649,501,800,503,16,800,400,480,807,800,501,282,649,649,502,649,503,502,649,705,800,58,501,500,502,501,503,500,649,800,16,282,800,502,500,755,453,649,502,800,501,800,178,800,649,649,500,501,800,503,800,500,16,800,502,649,503,800,503,502,649,502,800,16,597,649,503,501,503,502,502,800,503,503,502,639,503,501,502,500,800,500,502,501,800,502,501,501,800,502,503,502,500,504,503,800,502,501,849,500,282,800,501,503,500,800,501,503,649,649,503,503,500,835,502,500,227,649,649,500,500,500,800,503,649,282,16,502,502,501,500,800,502,282,800,502,500,649,16,502,501,502,416,800,501,282,503,501,800,503,502,501,503,649,800,501,800,800,501,588,684,387,27,282,503,502,500,502,649,534,500,649,482,502,336,501,800,282,501,501,649,800,500,500,16,650,501,501,800,649,800,800,502,800,282,502,500,502,282,16,282,503,422,54,288,503,503,193,282,504,503,501,649,800,500,500,301,282,649,765,45,978,649,501,502,290,503,282,800,502,501,282,501,800,16,16,16,282,800,649,501,649,503,501,502,800,649,16,649,500,502,607,502,649,306,502,500,521,649,16,800,657,649,500,721,646,649,800,705,500,500,941,502,503,800,800,282,649,500,501,649,501,800,649,649,501,502,102,16,107,16,755,107,282,501,107,800,16,649,649,500,282,502,500,16,503,501,502,502,649,21,800,800,282,502,501,649,800,649,500,664,649,504,636,500,649,501,502,501,800,502,501,500,502,800,282,649,16,503,686,500,16,649,502,501,500,282,800,500,503,800,800,649,649,321,502,282,502,502,649,503,502,500,500,800,503,282,282,800,912,800,649,501,148,500,649,282,500,815,649,502,800,282,16,649,500,503,800,502,177,500,503,500,725,951,282,557,501,503,649,502,502,501,649,500,502,502,282,282,500,501,501,449,500,501,649,500,844,500,500,103,16,649,16,16,502,282,649,705,501,981,503,649,649,502,503,414,501,649,649,503,501,800,500,291,193,504,158,800,107,500,502,322,502,501,649,501,503,501,500,502,501,800,800,800,649,282,502,503,16,800,503,503,503,500,800,282,649,800,503,500,642,771,503,705,800,500,501,500,502,649,649,800,500,500,633,502,800,502,503,500,800,649,649,687,502,503,861,503,282,500,503,502,501,41,649,501,503,503,502,786,800,503,282,502,649,282,649,103,500,649,503,857,501,501,503,500,500,503,16,800,824,649,649,501,649,500,800,503,503,501,501,478,503,504,282,500,277,800,282,502,800,503,501,501,503,800,645,501,539,649,502,500,800,800,649,502,501,501,501,805,282,502,282,649,500,649,282,500,501,503,379,800,649,800,503,500,649,121,503,282,800,800,502,501,502,501,500,500,500,503,500,501,800,649,800,282,502,501,502,369,800,800,800,502,500,282,502,503,817,649,911,800,503,649,502,649,282,800,16,282,44,503,779,501,503,282,800,500,502,181,649,91,800,500,807,500,649,502,501,649,649,649,16,500,500,471,501,800,500,936,238,501,736,95,501,503,502,649,649,503,800,800,649,502,16,367,649,800,346,649,501,336,500,649,501,819,500,282,501,649,187,16,501,503,800,503,502,503,329,800,16,800,282,16,12,503,501,800,500,501,502,732,501,590,282,649,502,502,500,503,499,800,282,649,503,971,135,800,503,800,282,534,501,649,503,503,282,503,282,501,649,800,800,503,16,649,503,500,503,800,501,501,649,500,16,649,800,282,800,800,501,649,503,502,570,501,427,282,315,501,500,140,16,503,500,502,649,500,503,503,691,800,501,107,502,800,502,503,500,16,501,138,158,501,501,800,282,800,725,193,649,502,800,501,503,503,501,502,500,16,503,501,501,503,500,41,501,649,198,502,503,500,800,500,761,503,500,649,501,503,503,818,948,501,500,503,282,885,502,649,503,503,649,503,500,502,103,500,623,649,504,800,501,432,375,501,503,503,107,500,282,500,649,500,502,282,649,502,500,502,997,800,282,649,807,800,502,503,800,649,501,502,503,905,501,504,502,894,649,784,589,500,649,501,17,643,649,282,649,649,501,500,500,503,523,649,550,188,800,287,502,500,800,282,434,649,500,649,501,649,502,800,500,500,502,502,282,501,502,194,649,502,616,800,673,503,502,503,500,500,16,501,502,800,503,800,807,649,501,502,500,649,16,502,649,800,800,192,152,501,503,800,349,658,365,282,502,800,800,649,503,501,649,501,502,649,649,500,503,501,501,469,503,501,414,16,12,500,501,282,103,107,503,649,800,501,500,500,502,685,649,649,649,16,633,503,800,649,502,503,282,649,500,800,891,503,502,649,800,502,282,800,502,800,501,501,502,649,500,800,501,800,746,500,501,380,500,502,699,800,500,503,500,501,503,800,503,649,649,800,649,946,500,503,501,503,501,500,502,500,649,501,500,282,282,800,800,500,800,501,501,502,16,720,800,800,503,501,800,502,500,502,800,800,800,503,500,500,501,800,500,502,503,649,282,502,800,501,282,649,503,800,282,501,649,501,649,649,649,501,649,502,930,502,501,800,502,501,596,500,501,500,16,649,641,503,585,800,800,500,500,502,502,500,800,503,504,500,502,502,800,649,16,90,800,16,649,402,259,16,649,282,649,502,501,649,800,503,282,503,500,503,501,800,502,500,502,501,502,987,337,503,649,800,728,503,501,800,501,500,502,500,800,500,649,500,649,16,501,282,502,504,991,500,728,500,649,500,282,502,800,649,500,501,501,503,500,649,690,649,502,500,501,404,501,649,879,500,503,178,501,500,800,500,503,800,800,16,502,503,649,282,500,800,502,500,16,649,503,503,103,501,502,282,800,503,500,282,503,500,649,504,504,282,282,504,500,800,503,500,502,649,649,501,800,503,621,727,501,649,503,649,840,500,503,500,502,501,649,649,500,800,503,502,503,828,500,503,503,500,453,649,501,649,800,307,649,282,503,480,502,16,15,800,504,649,503,928,800,800,500,503,649,501,500,500,503,503,501,894,800,500,503,503,500,503,502,649,727,502,502,500,501,800,649,501,502,501,502,649,503,282,633,500,503,501,500,282,503,503,962,520,503,282,649,553,503,418,500,503,649,500,649,501,501,40,500,800,503,502,545,282,649,800,500,501,800,503,649,503,592,500,503,501,502,502,893,500,500,649,800,800,501,503,501,500,502,185,503,502,871,501,107,649,282,502,649,500,502,103,282,282,503,503,800,800,503,503,501,503,754,506,649,800,649,501,16,501,502,500,502,800,800,800,503,800,500,501,800,649,800,282,500,649,649,683,649,16,503,282,500,503,282,282,282,282,649,501,92,800,500,502,500,500,905,16,649,649,659,297,800,501,293,16,501,747,649,502,122,649,500,649,282,649,504,692,282,503,500,691,501,500,500,16,503,503,658,800,501,755,773,501,503,800,16,800,16,501,500,649,649,160,103,649,800,500,649,502,501,502,107,502,503,649,503,282,501,436,503,799,335,500,503,501,649,649,649,502,800,324,649,282,504,501,109,649,502,502,501,649,649,502,503,649,501,245,501,649,502,502,500,766,107,571,649,93,503,504,800,16,500,503,984,501,503,649,800,107,501,800,649,500,500,282,500,502,502,800,501,503,77,503,649,502,501,502,894,282,16,502,377,649,204,306,502,282,649,649,103,500,500,649,800,503,892,502,800,502,501,501,501,649,800,103,282,503,501,807,800,282,500,16,503,477,504,282,502,16,800,500,501,96,649,500,503,800,503,503,800,149,502,502,566,800,502,900,680,282,501,16,503,800,503,500,502,482,649,501,500,500,1,503,502,503,800,501,502,502,800,500,649,282,500,502,282,800,608,538,502,952,503,502,800,502,501,502,504,501,503,800,282,756,319,800,268,282,503,501,800,282,502,430,503,503,501,503,500,157,787,649,501,649,282,800,501,306,500,503,326,914,502,502,502,800,16,649,503,800,502,800,501,95,791,501,503,800,168,503,649,502,800,16,649,503,503,282,501,500,649,649,501,649,503,501,504,282,502,138,215,800,501,649,503,500,800,502,500,652,503,502,503,501,800,503,800,504,503,502,502,929,502,649,502,891,649,502,502,800,800,867,504,502,506,857,747,838,502,502,503,502,800,500,501,504,282,649,16,301,419,500,501,282,649,503,501,282,195,16,282,500,501,503,649,282,501,649,800,800,501,502,800,51,649,502,649,501,649,800,501,800,500,649,649,800,501,503,649,649,501,208,196,16,649,282,800,800,169,502,501,502,503,800,502,453,649,282,649,649,800,798,503,800,502,282,503,800,831,649,500,501,517,502,500,771,649,800,503,282,502,500,503,649,500,649,800,800,500,501,313,500,503,500,649,800,503,63,800,107,500,500,501,500,501,649,503,504,178,501,16,500,800,501,310,649,800,503,800,649,501,722,437,500,649,649,501,503,649,500,649,60,282,800,800,649,3,800,282,280,649,503,501,800,649,16,503,800,501,500,16,649,282,649,503,503,500,800,503,503,956,649,16,502,800,500,952,16,16,500,503,800,16,733,594,501,282,800,16,502,649,501,649,282,800,501,800,502,649,454,502,649,449,500,800,502,502,503,503,800,800,504,502,501,418,503,500,800,16,502,501,437,800,16,910,502,501,649,649,500,16,502,282,800,500,989,343,501,503,16,500,501,501,501,502,800,800,501,282,500,501,691,500,198,800,503,500,46,649,987,256,302,541,500,649,500,649,501,504,502,107,503,800,202,282,158,47,500,502,282,649,502,503,503,263,349,282,282,501,501,282,132,800,501,501,503,500,800,502,260,502,7,78,282,503,249,649,503,502,111,503,649,282,795,16,501,107,16,501,107,54,649,503,501,502,500,649,800,502,503,503,500,767,500,113,649,16,282,500,503,369,800,502,276,282,502,641,502,501,800,500,247,503,500,501,158,503,649,501,129,399,501,800,16,474,282,649,503,490,500,501,800,800,501,800,649,16,543,706,500,502,282,502,502,502,500,800,238,649,649,501,282,500,152,501,503,800,501,503,282,107,282,282,16,800,503,649,16,16,800,282,503,502,282,649,500,500,800,614,538,501,800,708,649,118,503,649,501,800,282,842,500,800,16,107,282,800,500,649,502,800,503,282,503,708,500,502,503,500,649,500,503,800,649,16,502,649,502,649,282,649,502,501,990,502,649,16,502,210,501,503,649,500,501,500,501,501,107,502,500,649,502,501,500,501,502,98,501,810,501,504,503,550,649,502,503,500,800,65,500,649,503,503,500,501,502,282,800,800,41,502,800,503,282,502,649,649,500,800,538,800,800,500,501,282,69,502,503,504,649,503,503,501,503,649,703,503,649,503,800,282,500,501,470,501,503,500,501,503,502,968,282,502,800,705,503,800,502,500,501,501,802,501,504,501,501,649,502,503,880,649,503,728,502,502,504,721,501,500,800,503,501,636,525,800,501,500,501,800,503,504,502,501,800,50,503,502,649,21,649,800,500,503,265,500,800,800,504,500,800,800,503,500,503,800,667,649,501,502,503,501,502,500,500,501,800,644,500,503,880,503,503,727,501,501,500,16,705,502,501,502,282,649,16,649,501,502,282,649,503,800,503,502,649,649,800,649,503,500,501,631,500,122,503,800,800,503,649,707,500,649,501,800,503,649,800,800,800,503,649,503,16,501,932,500,649,502,500,979,649,649,501,800,501,503,503,370,649,503,649,502,194,800,502,503,107,502,16,501,503,501,502,503,503,419,500,867,502,282,16,500,800,501,800,501,501,503,502,800,500,502,503,800,649,649,800,649,500,16,16,16,503,649,501,649,649,500,649,501,800,254,501,649,649,502,500,103,800,500,478,503,500,502,451,471,649,503,649,800,298,282,800,774,500,14,500,503,501,500,502,502,282,502,347,800,501,500,500,800,133,500,649,500,107,501,502,503,800,502,503,800,400,649,649,500,503,800,649,649,800,500,649,800,800,503,268,501,649,191,501,800,639,692,975,649,503,501,16,282,500,800,503,500,800,503,502,657,501,800,16,649,503,503,502,649,1000,16,16,735,501,503,649,800,649,501,501,800,500,889,800,502,649,800,282,800,503,500,282,501,500,503,800,503,603,73,16,282,282,501,184,862,502,503,500,282,502,800,649,16,282,502,502,500,800,800,502,500,103,16,800,800,500,502,500,649,503,151,500,502,282,500,649,501,800,800,649,501,16,501,502,501,800,800,800,502,501,649,768,500,501,282,501,649,338,502,767,649,800,503,800,325,649,800,282,251,800,107,649,503,500,402,103,649,503,503,501,501,500,282,502,800,282,649,800,502,500,282,503,354,500,502,503,502,649,581,649,800,503,500,656,649,649,504,503,649,649,649,919,800,501,500,84,16,500,800,503,422,503,500,800,649,282,500,649,649,500,502,800,800,501,834,500,501,500,649,501,503,503,796,502,503,504,503,502,305,649,649,800,16,503,502,500,503,500,501,502,500,500,501,800,800,649,282,502,671,501,501,929,500,500,298,649,649,503,649,501,958,649,649,502,500,500,502,500,621,282,649,503,500,649,501,800,500,503,282,649,800,503,500,501,649,502,504,502,501,501,282,500,501,107,502,501,503,107,500,800,800,649,732,426,800,501,503,502,729,800,501,800,501,501,500,500,68,503,800,500,649,800,500,501,502,502,282,649,800,800,294,16,800,502,800,501,501,503,500,800,649,502,941,501,458,502,800,246,502,649,500,649,501,800,502,500,501,501,282,503,800,503,502,500,282,649,500,800,275,502,501,649,800,502,500,502,649,286,503,410,501,800,501,502,841,448,501,800,649,282,800,501,501,503,501,649,800,282,649,529,503,503,282,16,16,982,502,800,649,501,398,500,705,500,502,500,503,800,16,500,800,649,800,502,501,502,502,800,785,649,500,253,503,503,500,800,16,107,649,502,66,210,800,800,500,282,380,500,500,503,800,800,800,503,501,800,800,800,171,502,714,915,375,800,502,502,503,282,282,649,503,800,501,649,502,502,502,151,502,920,800,502,500,266,800,501,649,501,559,501,649,501,152,16,501,502,502,500,503,504,500,282,282,501,501,475,500,501,500,649,500,92,502,788,500,500,649,501,503,503,16,482,649,501,800,501,347,500,282,800,800,501,502,501,597,800,282,282,502,247,698,504,500,503,500,503,16,304,500,501,800,502,504,800,800,503,503,649,800,649,800,501,800,16,282,500,282,800,282,786,107,501,649,503,501,502,502,800,100,649,501,282,282,800,282,910,503,501,800,376,282,501,501,649,501,501,502,649,503,800,502,500,649,71,649,503,94,503,969,500,218,800,500,500,154,649,501,282,500,502,500,502,500,649,503,855,500,971,500,282,282,649,503,800,282,800,500,800,501,649,503,501,503,500,649,649,501,501,500,649,501,503,503,503,103,503,800,503,501,504,500,500,501,649,649,503,501,282,800,503,503,282,501,502,500,501,501,502,282,649,500,503,502,282,502,500,800,503,911,502,501,649,754,16,800,501,649,504,184,598,500,501,503,198,800,649,504,800,501,475,649,649,649,503,503,103,16,967,705,771,502,503,500,502,995,503,503,524,501,282,503,649,16,503,800,649,649,649,649,500,500,800,103,503,503,500,800,500,503,649,795,503,282,500,552,501,282,800,503,500,501,502,500,503,719,649,800,502,502,501,800,501,502,501,501,500,125,649,501,800,503,503,649,502,501,30,282,800,649,500,282,502,502,649,14,800,500,503,501,150,800,103,500,16,502,649,649,502,282,502,501,649,282,800,282,800,502,502,706,503,201,800,649,16,501,503,562,503,800,282,800,500,310,16,136,754,16,500,649,800,502,649,502,503,501,503,501,503,800,503,800,503,500,503,800,500,500,503,500,504,769,500,503,649,500,649,800,649,503,649,500,16,500,500,326,800,503,503,502,500,16,504,649,500,649,503,502,501,500,649,901,800,500,501,502,649,649,282,282,649,282,502,649,501,649,107,649,103,658,500,649,500,503,503,282,241,389,649,501,500,16,282,500,500,16,503,800,800,503,649,324,649,503,649,503,501,649,16,500,502,502,103,502,500,503,503,649,16,501,132,500,107,501,649,501,501,502,501,800,501,512,282,649,282,503,282,800,16,363,501,503,502,680,503,503,500,649,42,500,800,800,503,22,800,503,16,107,649,649,282,649,500,649,938,649,649,500,501,425,649,502,503,503,649,282,282,503,502,107,649,800,16,800,849,235,501,649,502,800,649,501,340,800,649,800,108,502,649,800,649,502,662,242,503,500,649,502,649,503,503,503,800,500,649,282,503,500,649,16,503,501,697,504,500,649,501,501,861,503,503,503,649,502,800,649,503,504,649,649,501,501,103,649,501,282,501,800,136,649,503,501,16,501,649,649,649,800,800,501,649,502,282,500,500,282,649,503,503,502,501,500,649,501,282,502,649,467,800,501,282,502,501,500,503,500,800,501,500,649,500,820,649,504,500,282,501,282,282,503,282,501,782,679,649,503,502,800,938,764,501,800,502,800,282,501,501,503,502,500,800,16,769,649,500,502,800,800,693,107,500,501,284,501,500,503,500,800,501,503,502,500,91,501,500,282,800,501,501,503,501,282,915,502,649,503,282,500,503,503,502,500,649,500,500,504,750,502,503,282,501,649,927,501,465,501,502,500,850,282,504,649,800,800,501,501,503,503,649,503,649,501,800,16,503,502,873,800,503,800,504,800,501,649,282,800,282,500,501,339,501,502,800,503,503,502,649,282,649,649,500,608,500,282,502,937,16,501,800,503,107,649,282,502,649,800,800,649,844,500,649,649,282,282,282,502,800,282,341,501,863,649,503,503,502,800,649,503,500,501,658,16,800,591,649,502,502,503,800,282,800,503,800,500,801,649,800,501,800,503,800,956,502,612,712,503,16,649,649,649,502,871,501,800,282,754,502,649,500,800,501,502,502,800,503,503,800,649,649,502,649,502,501,501,649,649,282,16,502,502,500,500,502,16,501,502,503,15,649,715,503,500,649,649,800,501,800,74,503,501,502,107,800,800,503,502,502,503,649,705,502,503,501,800,649,966,649,503,502,549,500,798,502,503,452,500,502,282,501,282,503,502,282,501,649,800,502,500,282,503,502,649,501,502,107,649,501,800,500,502,282,800,503,503,501,501,503,649,500,501,961,502,649,503,502,16,501,649,503,504,501,800,107,636,282,81,767,502,649,500,502,500,503,800,501,56,800,501,502,501,501,12,282,614,502,145,800,503,501,502,800,500,649,502,502,800,282,800,502,900,503,503,282,379,501,503,502,503,503,889,500,56,502,501,503,649,502,799,572,282,503,501,107,503,800,502,282,649,16,16,503,282,501,165,800,649,501,800,252,501,800,649,282,500,815,501,800,472,649,649,501,649,501,649,501,800,800,46,502,800,502,501,500,503,500,500,282,977,500,502,282,501,501,500,501,282,501,500,502,503,502,501,502,649,501,800,296,500,502,501,500,800,503,503,500,503,501,800,800,501,800,800,240,649,502,502,501,649,976,649,800,501,503,503,145,649,800,282,800,500,502,500,501,502,237,649,800,503,205,800,500,593,649,500,500,503,649,348,500,388,649,502,729,282,649,562,800,800,800,800,724,502,500,503,800,500,649,649,282,503,800,501,800,191,502,500,503,502,886,500,500,504,503,502,503,502,800,503,649,502,517,500,500,925,185,501,500,800,500,501,502,500,500,500,501,502,501,500,589,649,800,501,649,503,649,649,107,282,598,800,282,503,649,503,503,649,649,501,649,800,649,501,503,502,500,500,500,16,502,282,834,501,503,16,649,649,649,501,649,286,536,630,800,501,500,502,501,179,27,502,502,501,282,649,649,501,503,282,503,502,500,419,617,800,649,501,503,800,368,459,502,559,501,649,504,503,800,649,649,503,593,16,503,800,503,800,800,500,282,111,649,103,503,800,503,502,196,503,807,282,501,500,282,501,501,645,503,800,500,502,501,501,503,107,503,501,800,501,501,500,500,454,503,800,800,800,649,282,282,800,502,516,501,800,503,500,586,649,725,501,282,649,16,282,502,649,103,800,503,800,649,501,500,16,56,503,16,501,989,503,502,503,504,502,103,283,800,502,800,16,502,500,282,800,107,16,800,800,800,800,500,649,500,501,282,502,800,996,103,705,800,649,85,501,800,649,649,486,649,500,976,500,501,503,502,800,282,800,501,501,649,800,500,282,503,502,500,649,500,500,800,800,747,649,500,209,501,502,800,502,503,649,649,800,500,503,500,502,503,351,282,800,282,800,501,501,500,649,158,501,649,502,501,500,16,282,649,800,649,332,800,649,800,503,865,649,500,500,800,788,501,502,501,502,800,501,649,800,501,502,503,500,503,800,502,500,103,500,800,503,501,501,503,745,501,649,128,501,501,649,500,282,649,649,591,502,649,501,800,503,503,649,711,282,500,500,502,504,41,16,500,16,502,282,282,800,503,501,504,934,282,948,282,649,503,800,502,460,500,107,649,800,649,649,503,299,282,16,282,502,500,649,500,649,800,503,503,649,800,502,800,503,501,16,503,501,649,693,800,282,503,502,800,502,9,500,800,500,282,502,649,502,938,16,16,500,327,502,800,16,282,502,500,649,585,282,500,501,502,649,386,800,275,649,282,800,649,502,503,501,501,502,500,502,421,649,501,952,503,16,649,649,800,112,502,502,500,649,564,501,282,503,501,800,503,500,503,502,649,107,500,649,649,649,502,140,503,502,994,541,282,800,503,503,500,800,504,525,501,282,282,500,649,649,502,502,503,503,291,912,503,800,649,649,502,502,501,282,282,503,16,333,649,807,503,649,503,800,800,282,349,500,501,501,649,649,503,800,502,503,649,501,800,503,800,502,649,800,535,282,800,800,503,502,503,503,649,502,178,800,504,503,800,501,282,503,501,282,16,800,282,178,282,502,501,501,247,649,649,800,268,501,800,800,502,503,500,649,501,501,503,649,898,502,504,649,500,503,800,649,649,500,649,800,502,501,502,282,504,502,649,501,770,383,583,649,501,502,501,107,501,649,649,649,502,500,501,649,503,486,800,649,503,649,242,500,503,503,649,502,502,282,502,502,501,450,906,501,282,502,649,501,501,282,501,867,503,649,800,501,800,501,501,502,133,270,649,282,386,500,500,500,824,103,504,800,501,528,800,248,800,16,800,800,800,502,500,607,500,464,755,418,691,649,504,500,25,500,16,503,282,531,501,500,649,800,263,649,166,16,500,800,381,502,549,721,125,500,503,649,500,500,501,649,502,500,496,649,500,649,502,502,501,649,649,502,282,737,889,502,282,649,282,501,501,800,649,16,503,553,501,503,649,500,836,800,503,800,282,459,502,500,502,503,500,705,649,503,503,503,501,502,500,503,501,16,282,503,649,502,501,502,501,175,649,800,500,282,503,878,501,649,502,501,323,502,202,501,502,501,502,503,503,503,501,282,649,501,503,800,501,501,502,649,500,501,761,800,931,282,649,935,503,498,501,668,501,800,282,649,503,16,282,800,501,175,501,503,501,339,502,800,501,800,502,800,822,905,16,16,471,413,502,501,16,793,800,800,496,649,42,282,649,68,504,282,503,500,501,800,501,502,649,282,282,649,501,503,500,282,800,649,502,502,501,502,282,501,501,800,800,649,502,800,649,503,358,501,503,800,500,501,16,500,502,527,500,800,501,501,500,500,16,500,504,16,800,503,504,504,266,503,677,502,282,502,16,26,845,500,502,800,501,282,800,282,502,501,501,503,649,726,800,502,258,502,649,502,16,504,501,282,932,103,500,16,501,503,800,282,500,649,282,649,501,609,503,503,282,501,503,500,649,282,515,501,800,501,649,501,500,800,502,800,550,502,282,503,578,800,282,800,649,588,500,282,500,649,282,503,649,649,502,649,282,649,800,500,649,649,503,649,502,502,503,503,503,665,502,504,16,800,500,282,500,800,649,503,502,500,503,503,3,501,342,503,800,649,502,649,263,952,503,500,500,501,503,51,501,282,649,503,501,503,800,500,282,502,800,502,596,501,502,98,500,501,501,503,649,800,502,502,503,503,503,649,800,282,649,649,501,282,503,500,503,502,502,503,501,16,800,501,500,800,503,503,993,500,503,800,502,800,502,649,649,501,501,502,501,282,33,500,500,502,501,800,502,502,649,939,103,500,500,503,502,649,16,501,501,649,800,503,500,16,649,282,502,501,800,282,503,502,800,282,503,502,500,800,800,500,800,500,501,500,282,503,800,800,668,23,501,500,500,502,517,503,282,501,502,502,500,500,502,762,500,503,282,399,649,500,503,282,800,500,649,668,502,500,282,501,649,861,299,502,636,649,503,800,107,649,503,309,224,501,649,260,504,503,501,502,502,465,500,649,502,503,800,838,503,800,501,282,800,503,473,649,500,649,500,649,800,502,502,502,502,502,500,649,501,500,502,501,501,16,961,500,282,501,502,501,569,649,800,502,800,503,501,502,16,16,503,500,503,282,504,800,500,649,503,504,501,282,501,501,501,500,500,16,503,503,431,282,502,218,503,800,500,800,800,502,501,502,501,502,500,203,16,800,800,609,649,341,503,800,501,833,649,800,502,502,503,649,800,649,501,649,649,503,501,502,649,356,502,282,501,800,500,502,504,502,107,501,16,800,502,552,504,503,649,649,649,500,282,500,282,649,502,500,34,566,107,503,787,649,800,282,502,502,503,504,649,502,501,649,16,649,502,501,227,500,279,500,502,61,470,800,502,649,91,107,500,726,501,800,500,503,775,814,503,502,504,500,503,112,800,503,503,649,800,649,502,266,501,282,504,649,282,503,502,649,500,282,500,649,500,502,696,282,800,755,500,500,502,16,649,500,503,501,207,502,500,503,16,500,500,502,500,503,500,500,16,501,800,320,502,282,649,503,500,502,501,500,500,800,502,800,500,502,500,649,649,503,282,502,501,800,501,502,504,501,649,501,500,502,503,503,494,502,800,502,502,649,16,501,314,629,208,800,500,107,649,502,502,649,800,501,649,500,500,500,311,500,501,500,800,501,16,16,503,800,800,179,501,501,649,504,800,56,649,194,503,501,501,503,800,503,869,500,282,502,146,501,500,282,16,800,501,503,501,16,502,800,649,649,501,649,502,502,649,501,501,503,649,502,649,502,503,282,800,503,800,392,502,503,500,502,502,503,649,800,16,503,958,900,16,502,503,500,800,500,424,501,16,502,649,500,649,16,649,800,649,649,502,282,502,502,800,282,502,282,500,503,649,697,501,800,500,501,502,504,16,800,502,502,800,500,800,502,323,282,649,500,502,502,504,649,649,107,500,16,987,282,501,501,500,500,649,649,800,501,466,158,502,500,800,800,282,500,500,503,894,503,479,500,649,800,282,282,800,500,16,164,649,16,501,503,502,282,800,649,503,282,502,503,501,501,502,800,500,649,282,282,504,16,503,500,501,520,501,500,649,107,841,500,649,649,800,500,504,502,800,503,503,501,501,800,501,504,501,893,649,107,622,502,607,501,649,501,649,500,800,500,503,282,107,501,501,649,500,503,846,503,500,502,398,386,16,649,649,503,503,649,502,800,502,649,800,500,503,502,501,649,381,800,503,800,649,947,502,503,501,800,500,502,293,501,649,649,501,282,501,156,758,307,501,502,503,502,501,503,502,502,503,810,503,502,501,500,800,500,503,282,649,556,800,502,800,404,501,501,282,649,500,282,800,501,501,16,649,502,503,502,502,500,649,282,800,16,503,642,503,503,800,504,16,502,500,437,501,503,502,649,500,800,819,500,908,24,800,500,503,282,181,503,501,501,649,503,282,502,502,191,533,317,503,373,230,501,16,800,503,500,649,501,282,649,800,503,502,501,282,800,282,500,500,500,161,282,500,649,297,502,503,649,502,503,649,713,503,649,502,501,107,503,502,503,503,649,282,503,500,282,282,501,502,500,500,503,500,503,501,502,501,800,691,282,503,16,501,649,502,500,800,502,501,502,800,550,500,501,502,502,501,282,215,900,800,800,649,282,16,500,924,500,501,649,504,800,502,502,502,503,811,649,649,502,500,503,800,500,800,13,500,502,800,282,800,800,503,503,500,500,16,776,376,503,502,282,500,500,282,502,501,502,800,433,502,16,691,503,649,503,504,501,649,252,503,501,500,518,500,500,502,501,649,800,221,503,282,649,501,800,334,16,503,500,501,502,501,649,501,282,16,502,503,800,800,501,454,800,501,500,503,502,16,503,103,503,62,503,649,107,16,33,503,503,503,282,503,503,800,731,282,502,500,800,501,500,800,502,282,502,362,503,500,649,649,503,500,501,282,468,649,366,649,649,503,503,800,502,649,672,16,501,630,800,800,16,503,501,649,800,800,503,502,501,649,800,501,139,500,501,502,398,592,501,649,500,502,282,501,16,501,501,502,800,800,502,503,649,502,800,800,659,329,16,16,800,500,750,503,501,501,282,502,16,649,649,649,282,504,502,502,800,649,649,649,500,502,649,800,502,503,107,800,800,503,503,501,501,649,501,649,649,800,94,500,502,107,500,282,501,107,800,500,649,649,503,800,502,73,502,443,649,16,282,800,800,800,500,716,800,235,503,212,501,501,649,649,503,502,500,501,649,501,503,500,501,575,500,897,800,501,800,501,282,501,649,500,649,355,500,501,383,502,800,800,16,479,504,282,800,500,503,503,282,482,501,649,649,81,282,665,409,219,500,282,282,500,800,800,504,500,649,501,800,504,87,503,649,502,282,503,800,649,649,502,282,705,500,503,502,70,500,800,501,649,649,500,649,501,501,503,503,500,649,501,800,500,649,500,800,501,504,596,649,502,502,500,800,502,649,800,649,503,649,800,503,46,503,502,649,786,503,500,800,500,26,282,500,649,800,649,501,282,800,649,931,800,800,16,501,501,502,194,500,501,649,800,500,747,501,501,503,500,503,649,649,282,100,466,800,649,800,500,800,501,502,16,620,503,800,502,800,649,649,800,500,502,503,500,504,649,502,501,501,503,649,282,502,500,500,500,800,502,503,649,503,503,501,502,501,500,503,503,649,16,503,501,800,502,282,800,547,500,800,501,501,503,500,307,503,502,16,16,503,16,503,800,800,218,800,500,500,501,504,521,282,649,793,500,16,800,501,501,500,16,500,884,503,282,649,500,800,800,282,500,503,501,649,16,892,16,501,502,649,502,282,502,503,649,883,501,649,501,501,503,16,649,624,500,991,503,282,711,502,502,501,800,500,500,500,500,501,500,649,500,500,800,503,501,555,500,649,800,502,502,800,503,500,502,282,649,282,649,502,800,503,282,503,128,503,800,502,282,504,649,800,220,649,800,800,503,502,649,500,649,503,500,501,500,501,649,502,501,16,501,649,503,649,500,502,500,798,707,159,500,503,503,649,501,503,502,502,501,502,941,500,800,502,503,282,226,16,800,107,649,649,649,503,649,502,230,502,503,649,103,800,800,502,501,500,500,649,131,800,800,282,713,503,503,649,502,649,501,501,503,522,501,800,502,502,504,502,502,500,503,500,282,503,502,649,649,503,500,800,649,649,649,282,375,500,502,873,800,503,649,501,800,282,501,556,504,4,503,457,503,282,502,548,649,649,503,743,501,500,839,501,649,502,503,16,953,649,501,649,503,800,282,16,503,503,649,649,649,502,649,500,503,502,282,503,500,503,721,502,665,800,800,502,503,649,800,502,649,649,501,282,502,282,500,501,502,649,502,796,500,501,501,502,811,500,500,502,502,649,500,502,800,501,649,502,800,502,649,224,504,16,500,500,502,500,500,503,800,649,500,800,501,16,500,582,502,500,282,800,927,282,800,444,800,82,282,800,501,501,613,501,649,503,501,501,800,649,502,502,502,500,501,500,503,500,504,649,282,502,500,501,504,502,502,500,500,16,503,800,502,800,800,282,649,649,107,504,502,800,502,500,501,645,502,501,282,501,502,500,503,107,503,649,282,502,501,16,501,649,282,500,502,365,649,649,649,502,649,800,500,503,500,501,800,235,16,501,649,501,16,800,502,800,282,282,107,282,500,282,500,503,231,503,500,742,800,501,502,502,501,649,916,800,503,503,282,503,503,800,500,502,255,503,504,282,282,282,282,500,503,500,822,800,107,500,503,503,501,11,500,501,16,282,368,502,504,500,500,500,500,226,504,800,503,986,503,503,649,502,503,370,800,800,649,649,107,800,649,277,503,503,502,649,800,800,682,649,800,503,455,502,282,852,649,502,500,500,500,649,85,800,800,501,800,16,649,500,649,747,504,501,500,649,503,500,500,295,503,649,282,282,501,800,548,502,72,501,500,157,649,746,649,716,502,503,502,800,649,500,649,649,502,501,567,500,649,504,502,501,501,282,649,282,44,500,501,503,504,503,503,649,503,649,500,649,500,506,648,500,501,16,503,501,501,330,803,501,503,501,501,649,248,502,501,282,503,501,503,500,502,800,504,502,503,500,503,501,649,500,800,502,282,501,501,500,282,502,502,500,649,501,503,800,502,282,501,503,800,501,504,500,502,500,500,879,64,261,503,778,282,502,282,500,500,500,500,504,503,501,800,800,502,10,503,649,501,502,502,501,501,800,649,502,800,501,704,503,800,501,649,501,993,502,504,16,800,503,503,800,54,501,649,282,800,649,501,500,501,800,502,942,502,800,501,800,503,212,249,16,502,502,107,502,282,207,800,649,502,502,503,923,620,501,392,502,502,501,466,500,282,747,503,501,835,800,626,702,502,500,502,500,395,501,502,282,649,649,649,503,800,502,501,800,503,649,500,501,503,501,649,188,282,503,800,800,800,721,504,500,500,502,649,649,502,503,504,503,910,282,500,800,649,649,501,502,162,16,500,664,503,500,16,222,282,501,500,800,502,16,800,649,504,503,500,282,503,649,986,895,282,500,504,472,100,282,282,282,500,800,501,500,800,502,501,504,502,387,649,501,502,649,800,800,407,501,500,800,800,501,800,500,501,282,503,502,649,282,500,503,800,503,502,500,800,282,502,502,501,282,649,502,649,503,504,501,16,742,638,715,800,502,503,501,282,501,501,72,266,649,501,649,502,526,282,649,649,503,501,501,500,501,899,501,305,502,649,715,562,282,500,503,800,800,282,500,193,503,90,502,500,502,502,500,503,501,528,501,649,649,772,800,503,649,501,502,649,844,504,503,649,500,649,649,502,502,800,378,800,501,503,502,800,309,282,282,501,800,107,503,800,16,43,503,649,503,501,501,500,100,502,503,282,503,500,500,282,501,503,500,503,501,500,504,503,501,282,503,692,500,502,500,436,501,501,502,649,501,800,13,800,107,649,502,502,103,500,503,16,500,501,649,500,800,500,501,800,500,649,649,282,500,800,503,503,649,502,501,502,282,500,649,502,649,501,502,649,502,501,649,503,501,800,649,107,649,800,16,649,800,815,502,282,282,16,502,282,503,160,502,282,501,502,501,800,501,457,502,502,503,500,914,807,311,500,501,649,649,649,501,501,502,800,501,503,563,800,500,875,500,704,336,503,502,501,503,282,502,221,501,967,16,500,503,16,503,800,800,800,2,525,501,282,502,502,504,501,800,851,503,501,501,759,500,500,500,800,96,502,503,500,503,501,502,501,649,649,282,649,649,16,504,282,649,16,743,649,863,649,360,46,503,503,447,503,649,502,644,649,502,500,502,800,504,500,180,500,502,800,800,503,502,667,649,500,500,800,282,448,503,649,503,102,502,503,500,739,806,504,503,166,873,649,502,16,503,649,503,282,282,503,718,282,500,503,500,503,800,649,649,800,501,282,500,103,282,16,103,162,800,130,502,649,649,504,282,3,800,500,649,500,16,500,501,501,500,500,501,500,511,649,649,415,500,502,800,502,649,501,202,502,502,503,649,500,503,503,282,502,649,282,649,503,503,800,501,282,800,671,501,502,576,649,503,282,226,800,800,282,649,501,649,502,500,282,501,501,282,503,501,301,357,501,649,282,800,531,367,500,502,500,501,800,503,282,502,500,519,500,501,501,157,282,97,649,500,282,503,501,282,503,501,16,282,502,500,500,800,500,501,502,503,800,800,649,649,500,649,502,502,502,393,502,649,502,282,208,282,502,649,502,649,107,282,649,649,500,501,800,501,649,503,513,649,800,16,503,501,504,500,500,503,501,504,103,649,649,503,649,503,800,649,501,282,502,503,282,503,503,800,649,503,503,649,502,503,282,401,502,503,800,206,649,444,503,500,800,501,707,800,863,800,16,503,503,800,649,947,502,649,501,503,500,649,522,501,649,502,500,502,501,282,503,502,501,649,800,502,504,500,502,503,140,502,500,503,500,214,14,632,602,500,502,85,800,501,503,501,501,536,500,503,660,649,503,525,282,503,800,500,503,504,16,800,500,649,503,502,503,503,502,800,649,502,503,800,500,500,800,503,502,502,501,800,503,501,633,16,337,649,282,282,649,363,800,514,952,501,282,282,800,800,500,16,500,503,500,502,503,21,501,500,800,502,501,501,504,503,501,502,503,16,107,649,649,649,501,800,800,282,282,282,779,500,746,502,503,800,503,800,6,500,800,802,649,501,504,800,242,502,502,502,503,502,649,504,800,649,649,800,227,800,16,800,504,501,503,504,502,501,716,800,503,503,501,16,501,502,649,634,503,502,503,282,500,282,649,501,504,500,282,800,500,503,502,515,649,310,503,107,501,800,503,501,502,501,501,800,649,501,282,500,141,159,526,501,503,649,800,500,503,500,502,649,501,436,503,800,800,649,983,500,502,282,649,501,649,649,649,800,649,390,649,427,503,800,649,705,189,501,503,679,177,500,500,503,501,503,649,649,800,502,649,500,282,408,502,503,128,800,649,500,649,649,800,500,649,500,16,501,503,649,800,504,501,504,800,800,800,500,649,502,501,503,502,500,160,800,500,500,502,500,282,649,800,16,141,649,282,503,504,502,800,649,502,800,731,502,503,500,800,503,282,282,649,502,890,282,500,500,503,502,282,503,503,502,800,503,800,282,800,282,16,502,503,500,282,465,737,16,649,800,500,502,649,758,502,500,502,500,502,16,649,107,800,503,68,800,502,500,501,800,503,500,503,3,800,800,800,572,936,502,800,430,800,500,501,317,501,503,800,800,649,800,502,501,649,702,504,800,800,503,16,649,16,501,502,728,296,502,800,502,503,714,146,282,502,501,502,503,500,501,500,502,503,77,649,518,502,501,649,282,282,115,500,16,649,500,649,165,503,503,502,282,282,500,649,800,649,800,501,649,800,502,16,500,282,503,649,800,800,501,502,800,800,503,800,500,502,504,501,500,501,800,156,601,503,503,712,500,800,85,478,282,665,16,800,504,649,500,500,800,502,402,16,503,800,800,800,503,800,886,501,502,16,500,282,649,502,649,282,502,502,864,502,503,503,649,501,800,501,649,649,103,649,202,501,503,649,6,800,503,282,282,571,800,503,500,503,649,500,716,500,500,128,502,500,500,501,775,503,502,649,502,16,503,501,800,501,500,502,501,649,800,502,504,800,282,502,649,502,649,502,989,500,800,502,502,649,282,501,800,500,501,502,800,649,503,503,500,503,417,282,503,800,649,16,501,500,800,649,503,184,502,649,649,800,500,502,502,800,800,503,649,800,503,501,502,504,800,455,501,500,432,131,500,503,649,649,503,500,500,800,503,500,800,503,501,800,16,502,502,500,649,16,282,649,800,282,282,649,504,649,500,501,503,649,501,800,649,503,800,502,504,800,503,649,282,282,500,613,649,500,649,501,503,502,500,800,113,500,800,500,649,503,282,502,501,103,501,501,282,500,501,500,932,282,502,500,649,500,501,649,500,502,504,204,282,502,502,500,649,649,649,140,800,502,500,649,649,780,649,504,503,800,503,282,800,800,282,502,500,502,303,503,649,107,500,208,649,844,925,503,503,282,500,503,649,904,800,500,501,503,282,221,235,500,502,800,649,16,649,16,502,504,503,503,501,501,107,800,503,800,503,502,503,216,649,502,503,500,502,16,649,800,502,501,649,502,7,965,649,500,800,649,800,16,246,501,501,800,504,502,500,500,502,649,145,800,503,502,705,503,503,800,232,504,501,649,503,282,430,502,107,536,502,282,282,800,282,649,800,502,649,107,282,800,503,502,500,171,649,363,501,649,800,501,503,800,503,500,282,502,16,501,501,282,548,800,800,16,107,500,503,674,800,500,964,503,800,649,500,502,500,800,649,76,500,500,16,504,649,806,501,501,501,800,282,504,402,503,800,500,56,502,503,282,649,649,800,504,800,800,16,504,500,500,800,649,501,649,503,501,649,500,800,409,282,282,502,945,500,501,16,800,800,16,887,800,503,649,788,503,503,649,503,501,500,500,501,282,503,503,239,502,800,502,502,649,502,282,501,500,800,282,800,502,502,502,43,282,649,500,282,800,501,502,313,649,502,800,800,503,282,649,503,284,649,649,649,502,501,107,500,500,901,800,500,502,501,503,649,500,501,502,649,800,282,501,501,500,800,501,16,500,649,500,503,800,501,501,503,501,502,502,500,503,500,192,649,619,502,800,448,16,500,502,97,502,501,580,984,503,500,16,503,649,649,639,503,800,282,502,16,649,316,502,501,39,282,500,800,649,502,502,503,500,502,800,618,858,500,502,800,502,649,504,500,503,16,16,500,800,649,502,503,735,800,500,502,501,107,501,502,282,503,649,800,291,501,500,503,800,649,649,91,282,800,503,649,954,503,248,282,107,501,501,649,502,502,500,16,503,502,500,503,502,500,501,649,502,502,503,502,800,501,649,649,500,501,649,502,306,649,800,649,528,968,16,384,501,508,649,500,800,686,502,500,503,503,649,16,501,705,503,16,964,649,649,649,500,501,502,500,503,385,282,500,800,800,503,501,836,503,817,501,16,16,282,502,502,502,649,502,649,501,193,282,800,755,282,503,16,649,282,420,502,649,500,504,501,649,500,503,931,607,649,504,502,800,502,639,502,800,800,800,501,649,649,500,500,800,500,504,501,800,501,649,501,649,649,503,503,501,500,649,282,247,100,503,282,501,434,501,649,649,282,282,503,615,501,501,649,282,282,503,800,501,809,800,503,501,453,714,649,649,649,500,282,503,501,984,800,503,800,500,800,16,649,282,16,649,500,502,502,501,501,649,649,615,503,649,800,800,649,282,503,500,282,560,503,649,501,649,503,684,800,502,502,500,649,800,503,817,501,501,649,503,800,649,720,800,500,500,503,282,800,503,800,800,282,503,500,502,503,503,500,800,16,503,501,282,502,501,500,501,16,503,649,16,103,800,800,800,16,501,502,649,503,649,503,853,800,282,501,119,503,500,500,649,649,859,503,503,503,503,502,501,118,649,800,503,16,649,800,503,500,800,501,649,502,407,649,503,504,282,501,395,649,502,282,177,501,502,502,800,649,501,500,501,16,649,501,800,501,503,500,503,282,163,282,800,16,503,501,282,502,503,503,282,282,800,501,875,16,501,649,502,502,500,649,282,502,503,649,500,649,649,649,800,119,500,649,649,504,208,501,502,649,107,649,559,502,649,503,649,501,502,503,649,501,282,649,149,502,500,258,282,500,251,649,500,500,282,495,502,503,649,504,282,500,649,16,502,503,282,500,503,503,503,661,29,649,500,215,2,502,649,503,800,502,503,800,517,649,503,800,649,501,807,501,649,649,500,502,649,500,978,503,16,500,800,649,501,501,503,800,800,502,504,282,800,500,502,501,800,282,501,503,501,282,455,501,501,649,16,250,502,500,282,999,16,282,649,892,649,649,800,501,282,16,500,501,850,503,649,502,503,503,500,500,501,282,282,501,701,649,649,501,800,800,800,800,501,502,417,467,649,800,800,827,504,649,501,502,503,500,503,501,503,649,482,502,741,856,793,502,16,800,502,649,800,219,800,502,500,503,800,502,502,501,503,800,649,870,501,503,503,500,800,500,501,649,649,303,503,800,502,649,501,503,800,502,761,503,502,282,800,668,502,282,800,573,649,501,500,502,500,502,501,501,800,800,649,649,800,501,95,503,800,649,528,202,282,500,203,48,500,502,959,500,501,504,504,649,282,501,649,480,501,800,800,800,800,807,503,649,676,282,649,282,501,501,500,502,649,501,649,800,502,649,649,502,282,500,500,500,107,504,800,16,500,500,500,649,512,208,503,501,502,994,503,502,800,800,179,503,282,502,282,500,649,649,503,502,107,501,501,709,16,501,800,502,282,48,282,501,503,649,649,500,649,500,501,649,566,193,503,501,501,504,107,502,500,649,500,649,503,500,649,502,501,500,503,800,503,502,649,501,503,16,500,800,264,501,649,282,501,16,501,502,800,16,502,500,500,649,500,794,800,500,502,282,282,503,649,649,649,649,297,503,890,826,501,500,503,503,16,504,649,502,502,615,502,502,443,282,649,503,282,649,282,107,524,282,746,282,502,503,103,649,303,500,649,800,486,501,502,503,649,501,502,504,103,501,503,282,500,501,800,649,501,502,649,501,282,501,282,16,282,502,800,500,501,502,502,649,800,282,500,961,107,649,502,649,649,501,649,503,16,501,800,16,503,503,500,16,502,800,649,16,500,500,282,500,500,500,649,441,502,649,503,649,800,282,502,649,649,800,501,501,503,503,503,500,76,502,502,800,73,282,500,649,102,649,503,649,500,282,500,500,16,649,800,503,502,800,502,649,649,649,305,503,282,282,501,800,432,501,606,800,501,500,16,800,649,649,501,800,282,649,502,649,282,503,504,501,800,501,503,502,502,501,502,503,744,800,800,649,503,501,282,500,503,500,503,501,602,800,703,537,649,649,501,502,800,282,800,503,16,798,502,601,503,503,502,800,501,800,461,504,501,16,631,502,930,800,503,501,800,500,500,800,800,501,503,500,502,649,501,502,502,800,86,800,16,282,502,501,306,107,800,649,501,500,501,649,800,432,800,501,461,16,649,800,502,800,282,107,282,504,649,503,500,503,500,504,503,375,501,500,800,501,501,649,800,500,739,502,500,504,800,800,501,800,649,500,800,649,660,502,649,800,649,800,501,501,500,500,800,800,502,16,503,502,503,501,176,501,649,502,502,16,649,800,503,500,503,649,503,501,649,282,800,502,800,501,16,225,503,29,829,616,16,64,800,703,811,800,800,502,649,501,503,503,282,502,500,800,649,502,800,502,7,501,495,500,649,504,800,827,501,911,501,502,800,800,800,501,107,649,501,503,480,501,502,752,501,501,501,282,730,503,748,502,501,649,503,503,742,501,503,501,502,800,282,690,500,800,503,649,929,649,617,649,705,502,502,16,800,504,501,282,503,503,649,500,502,501,501,503,502,503,503,239,500,509,649,502,282,500,500,107,748,952,501,649,800,504,522,502,800,502,502,502,502,657,501,649,289,649,501,500,282,800,500,502,503,501,502,500,501,282,500,800,504,800,501,500,501,501,800,16,502,282,134,282,503,501,502,500,502,800,298,502,784,500,800,441,503,582,691,642,282,500,501,504,800,389,16,649,502,800,500,500,649,649,800,503,800,503,501,503,501,975,504,504,649,502,501,800,501,800,282,800,503,649,800,500,502,502,500,504,501,501,501,502,502,800,263,502,649,500,800,16,282,16,501,800,649,942,501,958,503,800,503,713,500,649,800,501,800,500,16,800,30,16,649,16,503,503,943,500,121,649,504,503,501,649,502,800,492,502,503,500,629,649,504,502,501,800,501,705,502,500,500,130,649,501,503,705,500,502,500,502,800,800,501,502,502,501,500,649,891,56,248,649,408,501,282,351,500,649,606,500,649,282,500,282,649,649,800,502,800,649,107,501,970,501,500,500,649,500,503,649,500,500,502,800,649,282,282,649,502,282,800,649,502,937,649,501,500,502,451,800,502,502,649,523,649,503,282,500,502,502,649,649,503,244,649,502,500,502,502,503,922,800,501,649,800,500,504,428,800,107,501,501,503,500,500,501,504,500,978,120,800,502,800,800,503,800,690,504,500,500,503,686,649,501,503,500,503,501,502,502,491,502,331,500,282,282,649,501,502,500,800,503,207,502,649,503,800,649,107,649,649,282,503,501,800,800,649,800,800,503,502,501,502,107,107,649,504,500,259,503,500,503,800,143,649,500,502,500,649,503,649,324,649,33,502,503,210,800,501,649,800,649,504,800,651,649,503,428,504,282,649,501,649,502,503,501,16,649,523,500,500,282,502,503,501,800,501,800,500,502,860,501,500,16,282,502,535,500,282,500,503,503,800,500,502,500,800,484,282,500,504,800,282,282,107,501,649,500,649,800,501,800,282,209,800,503,867,282,103,649,800,502,181,784,500,282,649,649,502,503,500,501,501,107,500,500,501,800,51,503,649,501,500,503,282,501,103,501,501,500,800,800,16,500,501,282,282,232,649,904,649,503,800,886,821,282,116,503,35,503,503,502,502,502,502,649,904,705,800,649,501,504,282,503,501,500,800,502,682,649,500,649,800,800,503,503,792,800,282,504,473,649,791,504,108,429,503,282,226,501,282,707,503,396,503,184,502,648,500,503,503,649,813,488,103,257,282,500,500,500,501,500,500,501,500,501,502,649,649,502,494,503,371,800,503,649,649,39,500,436,503,500,649,503,501,16,282,16,500,502,800,500,800,503,500,502,282,503,800,16,649,863,800,282,500,800,503,107,500,501,51,800,16,504,502,501,16,804,649,500,500,500,501,502,282,16,504,393,503,500,649,16,16,501,501,649,500,500,649,502,500,502,282,649,502,649,501,502,500,800,500,649,649,649,16,216,503,501,649,501,500,501,501,800,449,502,502,16,800,166,649,59,502,282,501,504,502,800,500,502,500,16,500,500,502,16,500,501,649,282,833,500,501,274,503,800,61,649,982,203,350,500,649,800,16,503,107,501,502,800,501,649,256,501,500,501,500,502,503,282,500,502,800,103,16,501,503,649,800,16,502,282,282,500,489,649,501,504,501,500,332,504,931,501,627,649,501,649,800,500,800,282,103,800,500,500,800,649,501,503,503,501,16,500,501,92,44,500,649,649,503,983,7,503,649,503,501,500,501,649,282,501,502,652,649,502,282,500,158,504,800,500,649,503,800,974,502,149,16,800,649,228,800,500,705,500,502,649,502,282,800,282,705,705,500,503,16,800,502,800,502,501,854,501,800,282,649,649,504,503,500,502,649,649,502,503,501,501,502,800,43,500,649,501,800,649,501,929,503,503,649,509,16,649,732,503,16,502,503,503,501,501,282,649,503,16,800,282,501,501,501,503,282,503,501,503,502,265,800,501,800,500,501,747,800,649,502,514,503,649,897,501,800,666,282,188,501,501,502,282,502,800,800,300,503,103,800,502,800,503,501,649,501,500,503,502,418,649,373,503,503,800,502,800,501,503,500,501,500,500,282,800,501,503,502,155,503,503,966,501,501,500,705,649,513,500,282,501,609,800,502,503,445,500,502,500,610,649,347,501,502,503,502,649,282,107,111,502,501,800,500,500,174,502,500,504,502,501,502,504,800,800,325,282,649,649,502,500,501,855,503,503,174,282,502,800,800,500,502,800,645,282,800,282,501,282,649,800,500,502,16,659,800,282,800,502,502,987,612,504,502,487,800,955,501,649,500,500,282,503,592,834,502,800,500,282,501,503,503,647,800,502,800,649,420,503,482,500,501,800,107,282,501,649,503,81,834,503,503,649,282,503,282,502,318,503,504,800,717,800,503,500,800,649,502,852,282,411,502,501,800,500,282,649,502,500,649,649,649,503,503,649,501,649,649,503,282,500,123,504,502,649,800,500,501,501,282,649,501,800,649,645,503,649,649,501,107,501,800,120,500,503,500,16,501,502,800,503,502,501,16,502,522,282,649,800,503,800,800,282,860,501,800,649,500,143,16,500,501,649,500,503,282,649,501,501,502,501,649,500,800,800,500,649,502,800,503,503,173,642,500,501,282,469,289,16,649,500,800,649,606,500,502,500,501,172,501,502,503,503,501,502,500,503,998,800,502,800,800,503,502,282,502,967,501,649,502,649,703,500,503,588,502,500,500,362,503,502,502,16,503,503,501,800,500,649,282,898,282,502,503,800,502,501,503,800,502,503,501,503,649,282,503,282,800,501,649,649,62,502,503,282,502,502,649,500,16,502,16,500,800,503,503,107,147,751,488,499,501,301,800,649,800,103,649,800,502,649,501,781,501,649,16,800,502,501,649,331,503,503,502,649,282,501,501,502,503,800,800,645,800,800,501,500,107,502,16,503,800,502,503,800,500,500,500,800,53,503,502,800,502,503,649,503,502,527,500,800,800,503,16,502,500,16,500,502,668,649,501,501,503,282,107,503,800,503,501,800,503,800,800,649,503,503,16,503,500,282,503,800,800,789,502,107,649,501,502,500,501,502,649,148,502,503,502,649,649,392,282,16,502,553,503,16,800,282,501,649,503,43,501,501,503,501,950,503,500,502,649,502,502,501,501,502,501,800,649,649,534,800,496,503,500,16,282,16,503,649,800,500,282,502,649,502,502,500,502,362,500,500,282,500,282,21,933,571,282,502,282,500,504,500,649,502,135,502,503,500,800,503,501,503,501,501,501,500,500,502,503,282,800,502,655,501,791,503,502,800,649,649,800,282,609,501,282,282,800,16,282,504,501,503,502,502,482,649,503,282,16,649,649,501,514,800,501,502,500,800,500,500,649,501,502,504,649,501,502,500,800,502,800,484,502,502,501,477,500,503,16,502,504,107,502,649,500,510,800,501,800,501,800,800,400,16,501,282,503,502,501,501,501,606,800,800,500,501,503,343,649,800,649,800,800,726,282,800,800,800,639,800,500,501,800,488,649,800,500,649,800,503,500,501,16,502,119,800,800,503,503,500,649,16,537,501,649,705,800,877,502,282,500,649,800,501,282,501,282,16,502,503,649,16,649,500,503,500,501,710,282,502,649,282,649,649,282,282,503,282,800,282,800,282,503,502,649,500,282,649,502,800,649,107,649,649,504,502,133,500,502,282,500,503,502,649,503,500,500,501,502,282,502,800,800,504,148,649,503,503,387,502,501,800,649,649,501,503,800,503,800,103,503,500,502,800,501,501,501,503,263,501,667,500,501,502,502,649,500,282,800,502,500,649,501,820,800,503,282,503,649,503,501,500,501,501,282,503,503,503,103,282,500,503,503,503,503,501,418,502,800,501,800,501,800,16,502,503,502,361,649,500,28,503,500,501,282,502,649,255,503,503,501,800,500,649,503,649,25,503,503,16,707,800,800,800,800,500,649,800,500,503,502,503,502,500,282,503,500,501,800,800,282,16,649,503,649,700,502,107,501,649,500,436,500,502,503,501,500,800,503,800,503,500,504,800,501,467,16,500,800,744,282,800,365,800,800,502,649,503,217,500,503,501,443,282,800,503,500,500,501,503,501,502,282,16,503,649,503,503,501,500,501,501,502,800,649,103,282,649,501,747,500,649,649,282,501,504,282,502,16,26,800,500,649,502,512,501,501,800,649,503,502,457,501,994,649,500,501,500,800,502,800,978,800,503,453,503,800,500,282,282,503,502,800,649,500,282,502,282,502,913,800,503,500,501,501,800,649,282,501,935,503,800,282,500,503,500,503,673,919,692,187,482,640,502,649,800,502,502,500,501,649,501,800,503,501,800,501,502,225,800,16,500,503,16,501,501,800,503,318,800,649,501,800,16,504,16,282,649,500,282,501,503,800,502,282,649,503,501,502,500,282,501,649,501,625,503,503,502,649,282,800,500,103,500,500,502,501,502,282,500,502,501,500,500,632,503,649,502,649,649,282,501,500,504,89,502,649,502,661,282,111,649,649,800,649,567,502,800,502,800,107,16,649,502,502,282,282,500,16,500,500,803,503,800,500,503,407,501,800,501,500,502,283,800,500,282,504,500,844,501,649,500,800,649,649,800,500,503,649,16,334,705,521,282,649,649,649,500,16,501,500,503,502,282,800,500,800,705,800,502,502,503,500,502,649,282,800,502,504,649,16,147,800,502,282,500,500,502,800,503,500,500,500,649,500,500,501,501,501,251,649,649,503,271,500,103,583,282,502,503,649,25,282,500,91,800,503,500,800,503,502,800,800,503,503,371,502,502,500,800,649,500,649,503,649,501,501,16,503,500,500,76,800,972,502,16,649,500,502,501,500,501,649,649,502,500,500,501,317,842,500,800,502,500,503,624,503,800,800,501,223,800,649,500,501,282,502,649,500,16,502,282,649,503,501,16,503,282,800,800,503,46,504,503,501,282,432,282,500,426,107,500,649,502,282,502,500,282,704,501,649,649,503,502,871,282,502,282,16,705,649,358,502,503,502,649,800,649,501,800,503,503,503,716,800,500,649,503,282,500,500,931,743,503,502,503,649,503,500,502,503,10,282,502,501,502,502,503,500,502,504,993,500,501,410,800,282,258,503,502,503,224,502,503,282,501,502,800,800,282,500,800,649,503,682,282,800,282,502,649,800,503,347,16,501,500,268,500,502,649,103,863,503,800,800,746,649,502,501,624,501,800,503,800,503,503,282,800,501,649,500,282,800,501,503,502,649,649,800,649,502,502,40,107,649,649,503,282,500,500,282,501,282,282,800,501,800,172,797,649,800,501,501,10,503,800,503,427,16,282,649,504,501,282,800,503,502,576,282,503,800,500,66,500,446,500,800,502,649,282,720,503,501,649,500,500,504,800,503,501,500,500,502,500,500,649,271,649,98,501,649,501,501,503,502,500,16,649,501,800,500,502,503,649,502,503,500,503,501,649,503,500,501,501,502,649,649,649,500,649,500,501,364,649,502,282,502,501,800,501,501,800,282,428,502,800,306,503,764,502,500,800,282,649,503,800,501,502,501,501,501,503,402,503,503,501,649,503,855,500,504,488,500,501,501,649,501,16,871,800,503,800,800,649,502,703,800,503,16,504,500,103,282,504,282,538,339,502,500,502,504,649,282,504,500,800,503,282,503,800,501,503,502,326,500,800,503,800,501,649,500,503,16,504,506,503,500,800,649,501,501,399,800,500,502,649,800,502,466,318,649,501,503,649,800,800,800,502,501,668,649,381,800,500,500,213,895,500,800,500,282,649,503,649,649,800,410,500,500,175,500,501,800,503,16,204,745,282,282,502,282,500,500,768,649,502,500,800,500,800,800,503,800,500,500,503,649,800,282,502,16,128,16,649,500,500,649,502,547,502,649,800,503,655,800,502,649,282,220,649,503,800,502,500,649,683,649,501,800,500,501,195,501,501,282,649,800,800,500,282,503,501,800,649,282,526,927,501,532,282,649,504,649,282,501,649,800,397,503,500,502,503,502,503,800,503,800,500,501,649,502,501,503,282,104,16,429,100,502,282,501,502,375,583,16,16,501,501,800,282,649,800,107,501,501,502,500,500,800,502,282,500,800,503,503,500,502,800,501,502,282,500,800,800,501,800,148,501,502,501,800,800,16,501,800,501,282,649,649,502,16,649,649,501,800,503,502,502,649,800,684,503,500,501,501,800,282,800,500,502,501,502,103,501,649,649,501,502,502,302,800,649,500,501,501,282,649,500,649,649,800,16,800,649,282,405,800,649,800,503,501,649,500,800,502,282,504,503,419,16,500,502,800,502,503,500,649,354,503,501,649,800,905,502,500,500,501,525,502,853,667,503,500,282,500,649,503,501,649,503,501,502,500,503,16,501,501,501,380,800,282,500,649,37,649,500,800,502,503,800,103,500,800,16,503,649,649,503,500,282,822,501,501,504,500,476,500,649,282,282,503,500,501,832,502,16,503,503,800,501,649,501,502,503,705,567,756,850,800,800,649,501,951,503,503,649,503,503,503,649,504,501,500,153,502,649,800,502,50,500,502,649,975,800,800,649,503,501,499,501,800,500,282,649,500,500,501,649,844,504,502,502,500,800,649,500,800,800,500,827,282,500,500,503,649,503,16,649,649,417,649,500,501,282,800,501,504,503,649,501,503,500,500,649,502,165,649,649,698,498,330,503,501,712,70,504,503,500,282,800,503,40,349,502,16,500,500,502,501,503,503,500,501,705,649,649,502,500,502,500,501,502,649,604,501,282,800,502,504,500,503,503,500,502,501,501,501,800,800,282,882,107,503,503,656,500,689,649,282,501,500,502,649,800,649,500,500,649,501,502,171,800,331,500,502,504,504,502,500,16,441,504,103,501,800,816,397,649,16,285,649,39,800,461,518,559,649,649,502,502,503,103,501,112,282,500,282,500,503,504,800,500,649,848,504,503,501,500,649,501,649,500,653,649,501,501,500,503,503,500,800,500,800,649,502,501,649,41,502,500,684,501,195,649,500,502,282,649,502,504,649,649,800,800,503,504,500,69,6,832,503,501,500,504,800,502,800,800,502,679,503,501,474,503,649,500,502,723,270,501,38,62,501,800,180,500,649,16,543,502,500,504,501,800,175,501,649,501,788,500,649,249,649,16,282,503,502,500,502,502,16,502,800,500,800,501,500,503,504,800,800,500,501,800,649,502,502,503,503,501,503,500,268,282,306,16,501,176,649,500,501,502,282,649,504,503,500,107,502,800,503,970,502,501,958,503,500,503,649,503,800,504,384,756,282,649,503,294,501,775,501,502,501,502,800,502,500,501,503,502,503,958,649,503,310,500,501,501,501,500,668,586,503,649,501,501,800,282,504,503,800,500,800,502,501,503,282,502,503,282,503,501,800,501,76,302,567,503,922,502,282,649,881,500,54,649,282,501,502,501,800,649,649,502,501,282,282,649,502,649,501,800,500,502,649,658,130,649,500,503,282,501,256,501,282,800,282,649,502,800,800,282,503,500,282,800,190,503,502,501,500,800,502,503,500,800,503,303,16,671,244,503,742,500,16,282,501,501,845,16,622,501,503,501,501,649,282,649,800,800,503,501,649,649,372,503,800,502,748,800,504,500,649,502,127,258,107,503,502,800,501,501,501,374,415,649,501,800,500,748,501,16,282,501,649,282,502,501,917,503,502,909,500,649,282,500,502,282,861,504,107,282,107,501,574,502,649,649,503,800,500,500,503,282,501,734,1000,501,282,501,324,649,501,503,502,503,740,500,503,649,210,501,500,501,501,649,502,502,107,501,649,282,495,16,798,503,800,503,501,800,502,500,500,503,800,923,503,649,500,500,800,501,501,107,649,503,503,800,501,800,502,800,556,500,71,500,502,502,500,729,649,282,649,503,500,107,649,282,800,800,502,256,282,501,501,16,649,800,649,501,397,500,649,800,501,16,500,501,503,503,800,503,800,16,649,503,800,502,800,649,800,500,649,278,800,502,282,500,500,500,501,503,649,501,501,501,16,649,282,502,502,107,800,282,500,503,800,501,500,649,502,282,501,502,273,800,927,210,500,282,502,500,501,649,503,282,812,43,503,500,16,282,800,649,800,502,500,103,373,500,184,501,282,357,282,503,969,649,500,800,16,502,649,504,503,107,501,715,800,800,800,282,503,16,503,988,649,800,501,501,683,807,503,649,501,547,381,282,504,649,649,500,500,649,649,503,503,953,800,407,800,800,800,434,502,503,503,502,250,501,372,800,500,503,16,282,501,500,501,800,287,503,501,649,501,800,800,500,743,800,500,503,502,503,800,500,282,649,800,500,502,503,271,502,502,800,503,800,649,800,503,503,649,16,501,869,501,282,504,500,273,447,16,502,688,384,503,649,800,502,501,800,500,649,501,502,282,800,649,503,282,501,501,923,501,500,501,800,705,800,502,496,282,500,609,282,500,800,16,16,502,503,282,649,503,649,500,501,88,500,649,500,500,107,807,607,649,540,500,502,501,500,282,364,502,282,502,504,800,705,500,502,696,649,649,800,500,503,282,500,800,502,502,500,649,800,500,503,502,502,500,500,350,800,503,503,503,502,500,282,649,502,501,502,500,800,85,649,500,800,800,837,282,282,503,502,16,503,800,503,502,800,800,800,800,503,649,107,649,503,622,800,502,966,649,548,800,845,649,500,16,137,800,649,502,503,502,502,502,574,282,649,500,500,500,649,500,502,481,503,502,503,659,501,501,502,800,800,503,501,504,963,500,446,783,502,282,500,501,504,649,800,282,800,649,502,500,503,645,502,157,23,800,501,800,501,500,649,500,649,502,502,584,717,800,502,172,282,501,501,143,649,282,800,649,503,502,800,282,503,282,502,503,800,501,649,649,503,503,649,382,649,649,641,501,649,16,800,502,16,649,16,500,847,800,502,800,649,282,418,574,501,649,500,502,649,649,800,16,501,583,649,504,502,502,500,16,502,405,503,649,500,502,16,964,282,318,502,500,501,502,500,503,501,649,993,649,273,502,502,800,800,800,500,101,800,500,503,502,107,502,503,502,503,339,502,501,503,800,503,800,179,503,261,800,501,503,800,282,503,649,800,649,503,500,503,282,800,500,501,282,500,500,503,500,502,502,502,599,500,503,503,503,500,282,800,91,502,800,503,800,502,649,500,123,800,206,282,649,789,500,800,500,471,800,63,800,649,800,502,500,501,501,502,800,800,649,800,101,800,800,502,502,649,502,502,500,800,800,800,282,502,92,500,800,503,501,800,501,800,502,501,649,503,282,714,549,503,500,282,500,500,392,800,500,501,500,870,649,502,16,500,501,501,800,649,500,800,500,503,400,800,800,649,502,502,501,501,649,503,501,501,800,649,282,503,705,800,503,649,501,501,500,93,500,503,649,502,16,501,649,504,502,649,649,282,926,503,63,649,103,282,502,500,503,16,501,649,501,501,501,503,649,502,705,800,649,800,501,504,800,649,649,503,800,502,887,65,800,502,502,16,500,503,649,500,502,800,500,800,743,16,501,501,500,649,800,501,282,649,500,501,637,16,503,649,282,501,649,501,157,502,501,649,989,516,800,282,503,503,501,800,282,502,282,500,649,500,503,502,902,503,503,500,500,649,671,500,503,800,501,503,800,649,500,811,282,800,502,282,501,980,503,649,503,103,504,800,502,500,504,649,501,800,800,763,500,503,500,649,649,282,649,800,649,503,501,649,502,501,500,800,319,502,649,702,502,649,500,800,649,501,649,649,800,502,500,503,800,501,835,501,800,488,649,501,800,502,500,501,800,500,503,800,503,503,800,500,282,649,282,563,500,649,649,649,649,282,800,649,500,649,502,546,501,282,502,649,16,500,906,503,500,502,800,602,649,500,500,503,649,282,503,282,800,502,649,649,502,649,649,800,503,502,502,503,504,800,501,16,16,500,253,503,500,649,501,503,705,500,800,800,649,282,657,503,500,503,282,503,502,501,503,501,103,649,282,500,502,500,282,705,236,282,502,504,501,282,503,41,501,800,502,60,925,800,503,4,800,500,500,106,800,649,502,649,503,503,649,649,501,16,282,502,649,800,16,961,800,502,875,207,500,820,503,576,502,501,649,501,501,649,501,800,107,800,500,500,503,57,502,800,649,103,800,500,503,503,649,462,500,800,501,500,501,800,503,500,649,282,415,800,649,501,503,649,16,649,649,503,16,800,503,649,282,91,500,503,501,503,503,500,500,503,870,501,800,800,649,800,229,503,503,500,502,70,500,501,800,282,501,501,501,282,501,357,16,800,649,503,501,500,902,502,16,649,16,502,800,20,800,258,502,503,500,649,724,800,502,500,649,502,16,16,502,649,649,503,16,800,500,16,800,800,649,500,282,800,501,327,282,500,251,799,500,502,503,503,501,501,800,282,800,800,503,500,334,502,158,800,800,282,500,794,500,649,282,503,502,649,502,501,502,649,881,214,502,47,800,800,502,107,501,503,199,649,649,500,501,282,210,16,500,16,649,611,282,649,502,503,502,178,649,500,800,649,979,151,503,503,800,282,501,501,936,501,282,502,503,649,501,503,107,407,501,649,503,501,649,133,503,503,504,655,502,503,16,502,501,502,377,500,502,498,500,503,800,502,500,649,502,500,501,800,503,986,500,913,502,800,502,502,500,501,800,800,800,502,16,282,502,500,503,501,501,501,503,503,739,513,500,501,800,501,16,503,800,103,501,503,500,502,502,503,503,503,800,800,282,501,502,195,501,800,503,649,501,705,1000,649,649,503,501,503,649,502,500,800,503,649,503,649,501,800,109,951,179,504,500,16,500,502,500,500,501,501,282,800,500,282,453,555,282,649,501,501,800,502,552,503,503,500,502,649,241,530,31,649,282,282,16,922,501,503,649,649,501,501,907,501,726,503,501,503,16,800,282,901,530,800,649,500,282,35,503,502,503,800,503,684,503,649,503,500,503,503,500,503,503,794,504,649,800,500,649,501,503,501,501,282,501,502,502,649,502,501,502,757,458,504,705,800,500,649,282,502,800,503,500,107,500,800,96,16,500,502,501,16,501,501,649,500,501,184,424,502,502,501,500,800,503,135,321,351,729,502,282,649,503,503,649,501,425,791,501,502,945,282,503,501,502,168,502,649,503,502,502,501,503,282,503,16,500,503,809,502,501,649,501,500,503,649,500,501,503,502,411,501,203,500,800,500,282,16,800,815,466,500,502,626,503,649,502,800,282,115,503,501,649,500,16,282,501,503,502,124,649,649,800,282,501,800,434,66,800,502,501,645,502,649,503,16,649,649,282,282,649,501,502,500,502,661,503,503,282,501,807,800,503,502,282,501,503,800,395,502,800,107,649,332,503,500,649,282,502,500,800,502,503,327,341,708,502,501,501,502,501,503,16,503,600,800,649,208,800,500,649,502,378,16,503,649,800,502,800,800,500,16,502,748,501,501,500,649,649,649,502,649,502,202,553,500,398,502,199,503,580,282,896,16,502,501,500,502,649,503,16,500,16,503,800,800,16,649,503,649,649,503,772,501,282,504,649,850,500,501,501,502,503,501,502,282,500,282,501,867,501,502,340,16,800,800,500,800,503,503,772,503,502,503,500,958,800,649,282,763,501,503,502,500,394,501,500,504,500,800,500,649,282,16,800,501,501,800,649,500,251,475,504,503,503,501,649,501,649,502,501,482,503,649,649,800,501,649,202,502,503,282,649,500,503,501,503,891,501,502,503,500,501,800,501,253,649,500,31,649,502,282,282,800,800,16,966,649,557,800,501,649,916,447,800,282,705,800,502,500,500,649,800,800,503,502,504,502,875,649,649,16,282,525,504,800,504,501,649,70,501,282,649,513,96,107,800,500,282,649,800,500,649,502,500,500,500,800,501,500,649,503,500,800,502,282,501,502,500,16,194,649,503,649,992,503,501,501,503,502,649,649,500,282,800,649,501,503,501,16,848,107,502,800,649,502,502,637,501,384,502,649,800,607,649,504,501,502,502,649,604,282,103,502,482,501,799,502,503,503,282,358,705,503,500,501,500,649,503,501,649,282,500,500,500,282,500,16,501,800,501,649,503,501,663,500,649,16,503,282,282,800,141,501,916,500,504,501,736,718,500,649,649,503,500,791,649,502,800,503,800,649,649,503,649,504,16,500,649,503,16,649,800,800,502,502,649,503,484,503,282,501,649,503,282,500,800,800,502,16,212,502,503,649,800,800,800,500,502,800,800,649,502,503,800,503,501,502,800,502,502,503,501,649,649,502,501,502,649,500,649,800,16,649,618,502,282,282,500,503,107,649,973,501,935,502,503,502,800,500,282,501,501,501,501,649,840,501,502,649,71,107,502,502,800,500,500,282,500,282,649,800,503,779,500,800,501,500,800,342,500,800,800,282,800,282,500,800,502,502,500,503,107,16,649,500,502,502,503,282,502,16,500,800,503,502,502,649,500,282,649,352,503,502,16,803,676,107,800,649,282,501,800,282,503,501,649,282,503,501,501,649,502,501,800,503,501,800,107,503,800,903,800,649,500,500,417,800,503,503,16,872,800,503,502,501,16,649,221,500,800,649,503,649,16,628,649,158,408,502,501,503,800,611,502,16,995,888,501,501,649,649,649,649,726,503,76,107,16,649,501,649,766,435,501,282,649,502,501,502,107,500,501,500,501,772,503,503,501,504,501,500,282,800,500,500,502,604,503,800,502,503,16,107,503,282,502,502,502,649,501,649,504,502,649,705,500,800,503,800,502,503,128,500,800,501,282,16,649,800,503,649,501,342,503,438,503,503,800,800,680,500,800,501,800,503,500,305,282,503,500,107,500,503,800,784,800,649,502,503,501,484,649,452,250,800,474,502,800,500,502,282,503,876,800,500,800,500,503,500,649,800,103,800,503,800,502,878,501,501,503,282,502,502,649,649,502,502,282,503,500,800,800,649,297,500,500,502,503,913,16,503,282,282,502,501,501,649,410,649,282,503,649,649,503,500,282,503,503,503,501,503,649,649,282,502,502,503,282,800,500,503,502,649,282,282,649,649,503,502,503,500,501,16,800,501,500,334,501,502,800,503,503,501,500,500,800,201,649,649,800,502,500,500,16,800,500,502,649,503,503,503,649,502,282,152,503,503,638,330,501,500,502,800,503,500,502,282,501,134,502,649,422,502,649,649,502,800,501,500,502,503,649,503,16,501,1,501,16,649,500,282,649,503,500,502,503,16,502,503,500,500,501,649,426,800,501,153,502,930,282,800,649,502,480,282,649,500,500,282,501,800,563,516,502,649,501,811,16,800,800,800,800,175,649,449,649,337,649,800,503,16,800,649,649,800,800,501,500,187,500,282,103,649,503,820,649,501,501,500,502,649,800,501,502,699,500,649,649,800,660,501,649,500,504,282,500,500,649,800,282,500,539,355,649,800,800,504,610,649,800,800,152,63,500,748,800,503,502,503,649,502,805,800,282,532,503,800,454,503,500,502,501,800,282,583,800,502,790,674,577,500,269,502,107,800,502,502,103,502,501,503,800,282,800,503,786,604,500,501,500,502,503,500,649,502,500,500,588,202,504,282,500,500,503,649,503,728,503,501,500,649,482,821,58,649,738,502,502,800,649,500,791,649,500,501,501,282,500,237,800,502,685,800,649,800,502,500,503,503,501,500,500,502,649,649,501,503,500,800,800,16,649,16,282,282,649,282,501,649,501,500,800,16,500,502,649,649,500,946,16,800,501,503,724,800,502,649,503,800,633,507,503,503,649,16,282,166,787,800,649,500,854,502,501,334,649,500,504,282,503,676,500,500,501,501,501,800,502,504,501,649,800,501,502,503,501,649,670,501,282,501,649,800,502,500,500,500,500,98,871,800,503,800,502,16,500,155,500,893,800,502,800,649,502,693,503,501,800,649,362,748,16,502,504,500,503,282,502,503,500,501,501,502,500,501,503,717,503,800,503,667,503,649,501,500,504,649,649,503,500,502,800,282,282,501,282,107,800,502,727,502,502,649,649,16,502,649,503,500,500,502,649,175,501,500,434,501,649,649,649,144,501,501,503,502,502,807,501,649,16,500,649,500,502,282,183,649,963,107,504,502,504,649,676,649,800,502,282,708,649,282,103,649,503,503,502,503,649,500,501,466,501,500,503,501,800,649,503,503,501,501,649,503,800,922,649,502,501,800,503,501,502,501,500,503,39,440,16,501,450,503,800,902,282,502,503,544,501,282,501,500,800,743,503,282,800,500,649,800,500,502,800,473,649,800,503,800,319,16,800,649,103,723,800,500,649,282,800,500,502,800,649,500,500,502,649,649,16,800,502,680,649,766,649,813,800,649,502,501,282,952,282,500,649,501,502,500,503,501,500,800,282,503,800,502,941,501,282,800,800,16,104,501,649,501,502,100,877,282,502,649,502,649,500,800,282,800,92,503,501,649,16,703,282,345,185,500,282,326,501,649,502,500,800,501,500,502,502,800,500,282,784,649,800,337,649,16,500,800,649,16,504,501,502,800,800,649,501,350,502,503,282,501,503,649,501,800,649,649,800,103,649,800,397,500,649,649,282,649,501,944,504,572,520,800,649,500,500,282,500,503,800,338,502,500,262,800,502,502,649,800,649,649,503,502,501,686,500,503,502,800,659,504,800,503,649,501,503,500,800,107,504,800,282,282,107,282,649,649,501,107,16,560,649,502,282,500,649,649,986,500,501,500,500,100,944,800,504,503,501,359,649,502,503,500,501,503,500,502,501,503,504,503,831,800,282,649,800,503,268,500,501,282,501,282,503,501,501,501,503,649,800,282,649,503,503,649,626,282,16,501,649,800,282,502,649,107,649,649,503,502,800,503,800,800,503,649,501,35,800,282,107,16,649,500,181,800,502,133,282,800,502,800,500,500,859,282,282,502,649,800,649,800,502,649,502,800,501,660,502,103,502,800,501,649,500,503,649,282,503,649,501,819,282,502,501,800,16,503,800,800,649,649,282,501,501,649,501,282,800,501,314,700,649,282,800,800,500,500,503,501,649,500,649,502,282,502,16,16,500,502,502,502,502,299,500,800,503,503,501,588,500,649,500,500,500,748,501,800,501,633,649,504,282,501,800,649,501,501,503,501,502,501,800,500,800,501,503,504,649,503,502,500,503,649,16,502,502,649,282,503,501,503,500,282,649,500,216,504,16,16,500,800,107,649,500,501,503,502,649,649,501,502,501,501,800,503,502,695,800,16,282,800,16,502,501,282,502,649,800,504,649,649,800,611,649,503,501,503,500,532,282,501,282,500,282,501,282,502,501,503,500,9,800,501,649,503,503,503,282,107,649,500,829,504,800,504,500,503,500,501,649,500,500,502,500,500,124,500,870,282,947,502,800,800,800,503,800,500,949,258,649,800,649,502,107,307,503,649,800,800,161,649,714,503,500,502,503,503,500,502,906,732,500,500,500,501,800,502,107,501,501,502,649,503,800,649,649,800,501,16,500,502,501,967,800,649,800,500,500,16,649,699,500,502,649,501,500,369,503,503,800,282,539,479,800,282,503,800,800,238,502,501,502,500,503,523,502,143,501,649,800,502,649,503,502,501,282,501,615,649,800,500,501,800,500,503,800,649,715,502,501,500,800,282,501,649,503,501,503,501,504,805,715,502,500,500,500,501,800,649,501,800,800,500,649,503,503,502,501,800,501,16,282,500,503,501,933,160,504,502,800,503,282,500,800,800,282,800,501,500,500,503,503,500,118,503,282,878,277,500,501,649,649,800,649,104,282,500,502,800,501,21,503,800,500,896,502,500,503,649,16,800,502,501,800,502,800,502,502,501,503,502,502,282,649,503,500,863,649,232,500,800,502,703,503,503,800,100,800,649,218,464,282,282,493,500,501,503,649,107,501,282,950,16,501,503,649,503,503,503,983,835,807,501,800,103,800,765,706,800,502,800,16,800,500,649,502,502,501,705,502,556,649,816,282,282,282,649,649,502,800,800,502,800,500,800,502,502,282,501,16,501,501,503,503,613,500,500,649,282,800,502,649,800,800,664,800,649,649,503,317,649,502,503,759,503,371,500,503,502,502,342,504,649,504,649,627,500,800,197,500,282,282,649,649,500,649,282,502,18,503,500,503,800,649,503,649,800,500,800,502,502,16,502,502,649,503,503,800,16,810,502,800,800,502,503,649,649,501,502,800,649,800,503,500,502,467,800,649,500,503,992,467,936,500,800,282,800,503,501,800,649,503,502,842,692,16,501,53,649,649,282,500,928,282,502,857,503,751,800,503,502,649,24,503,500,800,504,161,282,16,649,649,649,649,501,503,800,500,534,503,503,500,502,502,528,649,800,238,16,800,500,502,501,800,983,800,503,502,501,16,502,500,501,800,501,800,649,502,502,649,503,500,800,502,568,502,527,800,603,649,258,503,503,503,800,501,503,501,649,800,502,501,502,502,503,282,501,16,503,500,500,502,800,500,649,501,503,649,519,502,501,504,293,501,800,503,282,367,501,500,649,503,282,574,881,800,502,503,957,282,282,500,649,649,500,649,500,282,800,501,282,649,501,649,282,500,159,800,649,500,800,502,503,503,800,800,620,502,800,962,800,500,800,502,501,501,502,501,4,503,501,649,649,800,500,649,800,502,500,503,502,500,649,800,500,282,471,282,502,800,800,502,558,511,501,649,705,649,282,649,501,500,503,592,282,649,649,502,500,503,501,503,500,516,500,649,500,800,502,282,800,800,107,502,800,800,500,500,502,414,502,500,282,282,501,500,502,282,16,282,500,500,333,500,500,501,500,504,649,500,800,649,501,800,500,500,977,502,800,503,649,501,169,501,255,502,800,649,680,503,858,502,503,500,502,502,500,502,800,16,800,500,502,502,800,166,649,874,16,501,61,287,502,502,502,504,282,968,501,800,502,800,503,500,800,800,502,502,502,649,503,282,503,649,502,503,500,800,501,649,649,503,649,953,501,503,501,800,800,500,503,800,649,282,800,500,800,649,502,800,282,282,500,502,970,649,503,503,625,500,503,501,501,503,501,800,282,800,500,649,501,649,649,649,501,501,500,503,500,16,580,500,800,800,500,501,503,502,295,800,16,501,501,500,800,16,649,800,282,649,68,503,16,503,503,649,504,800,649,502,501,315,500,800,649,500,501,502,800,51,502,649,107,503,503,503,500,502,503,800,800,503,502,501,502,500,282,500,282,503,282,800,502,649,503,503,501,500,501,649,502,800,503,157,502,503,16,649,800,800,800,500,965,800,501,503,503,500,282,500,649,500,282,503,500,502,502,503,103,800,502,16,503,503,502,500,501,800,502,282,500,188,993,800,649,504,800,502,282,503,800,987,649,649,701,501,501,800,293,649,649,501,500,500,503,503,649,503,800,620,503,500,503,800,800,500,649,500,626,502,501,800,501,800,649,502,57,744,501,500,649,378,500,800,636,503,502,800,255,502,649,501,501,502,649,503,282,503,649,649,717,16,649,501,503,800,500,502,800,649,501,282,502,800,500,501,800,800,282,504,282,800,217,503,800,649,282,503,503,920,800,282,502,504,397,500,503,503,503,500,501,649,503,282,282,746,800,502,501,16,282,12,500,500,502,51,503,16,503,563,501,649,503,500,501,282,502,649,282,649,504,502,649,500,800,501,800,804,501,501,16,800,546,649,649,500,500,649,649,502,800,502,504,800,503,800,649,502,800,16,503,500,282,800,500,800,503,649,649,502,659,282,800,501,335,502,800,502,501,503,282,282,480,503,500,649,503,649,68,16,649,500,500,502,800,500,800,502,501,649,800,500,503,504,502,500,502,107,649,500,282,500,800,649,500,282,503,502,501,282,103,502,503,501,501,501,854,649,444,501,503,501,800,503,800,40,807,649,501,503,501,501,649,800,502,503,501,502,800,16,503,501,502,854,649,800,800,501,649,282,800,501,500,282,649,649,502,503,899,502,501,800,800,800,503,649,500,501,800,649,502,649,503,16,501,502,800,503,649,800,46,404,500,800,500,649,800,800,502,649,800,800,501,503,503,649,502,16,501,98,649,502,174,503,294,501,107,282,800,800,503,282,503,282,127,800,649,338,473,108,500,501,502,502,16,500,800,649,649,16,501,502,502,501,366,503,503,501,500,394,501,649,502,503,503,502,502,500,103,649,649,800,800,800,282,502,501,800,501,500,868,800,800,502,502,500,500,649,501,649,503,502,500,503,501,282,501,16,500,800,649,501,282,800,502,504,282,503,800,800,800,649,502,502,649,800,502,649,659,501,649,502,649,503,503,503,649,503,800,501,649,501,598,503,800,500,966,107,299,800,501,501,265,501,858,282,502,325,500,503,359,800,503,649,501,649,500,16,800,503,503,649,502,503,452,501,501,16,501,503,502,649,649,757,459,502,800,501,502,501,503,500,501,282,501,818,537,502,103,502,502,501,503,282,501,503,705,327,503,500,800,500,500,725,502,501,649,800,800,503,696,16,107,500,282,502,502,835,282,500,800,502,500,503,649,800,107,716,501,503,503,649,500,503,252,500,500,500,16,502,500,500,503,501,502,649,282,501,800,649,800,503,649,649,705,649,501,800,502,503,500,500,705,501,503,800,561,501,500,105,502,800,502,501,107,649,800,649,501,211,146,503,500,500,800,541,527,282,503,800,800,282,460,649,649,503,282,915,503,800,800,503,16,800,16,501,282,800,500,183,500,965,649,800,501,501,16,282,501,983,502,800,107,500,501,800,649,504,503,502,785,649,503,800,503,649,800,502,355,501,992,502,667,500,501,282,501,503,800,503,502,502,501,649,503,503,800,16,649,649,282,800,503,501,309,800,800,649,649,503,649,800,504,649,649,500,649,16,12,800,968,304,500,502,50,503,800,717,98,504,502,503,800,649,649,100,642,800,800,501,810,800,445,16,282,649,649,503,503,800,501,500,282,500,800,107,501,776,502,500,501,213,501,500,176,502,503,502,501,800,500,503,649,16,502,503,818,800,501,649,500,503,501,500,503,800,649,503,500,649,500,800,800,315,500,503,500,503,16,649,503,800,503,705,503,501,501,800,500,501,503,502,479,501,292,502,46,800,501,649,233,502,500,502,800,107,500,503,521,503,501,502,537,16,649,374,800,501,840,501,649,501,503,503,649,16,500,649,800,502,503,227,501,500,16,649,345,502,502,649,501,503,16,800,649,929,649,649,501,649,500,649,294,16,800,705,649,800,501,800,503,500,500,107,500,282,282,421,503,501,500,800,500,800,282,282,16,502,503,992,800,503,501,503,800,649,501,346,502,502,503,282,16,500,500,649,502,502,649,649,502,257,245,502,500,649,800,500,500,16,282,501,800,649,501,649,993,282,501,500,501,501,501,800,504,503,800,800,502,500,649,800,282,282,282,500,502,502,500,672,648,500,800,502,501,649,816,800,501,282,649,16,800,649,282,500,500,503,579,282,282,282,504,282,502,504,649,500,16,387,16,800,649,502,113,503,502,501,503,503,219,494,800,971,501,737,649,800,502,501,688,501,649,552,503,502,937,501,503,373,502,16,503,501,649,500,665,282,502,800,500,800,282,16,501,899,800,503,500,501,649,503,305,500,16,800,622,503,502,282,503,282,800,282,636,107,503,16,502,282,282,649,501,502,800,649,503,649,502,282,800,649,502,503,800,649,335,503,800,98,800,502,649,503,502,502,598,406,501,282,502,500,649,649,800,500,649,800,502,501,500,500,922,800,500,500,500,800,500,649,649,503,500,500,282,800,210,501,800,500,649,894,501,501,503,503,503,108,503,503,500,800,649,503,478,501,501,500,503,502,503,107,503,503,609,612,504,500,500,502,502,103,649,474,649,282,503,501,800,501,266,500,649,503,649,282,502,503,649,501,501,282,16,503,503,800,501,502,282,501,468,503,649,500,800,20,399,649,503,705,500,503,500,501,107,501,503,501,181,500,16,649,500,501,800,502,800,282,501,749,502,16,500,649,800,502,107,501,503,800,649,502,503,360,16,766,501,282,501,503,282,501,800,16,649,800,649,500,649,711,282,282,502,503,500,502,503,501,503,501,168,502,800,649,800,502,282,16,800,502,397,130,503,502,800,502,502,504,500,70,500,800,501,502,502,501,500,568,503,501,107,502,500,171,502,500,502,504,502,503,502,800,800,800,501,502,502,649,800,503,502,800,501,502,500,502,501,502,261,500,817,503,604,500,800,649,800,16,800,254,500,500,502,500,500,649,649,500,501,502,649,649,800,502,16,800,282,502,279,502,502,501,501,800,282,282,282,501,500,501,282,504,800,257,502,500,502,16,800,501,705,500,502,500,282,503,800,16,501,282,503,503,502,800,502,503,501,503,800,500,824,503,282,503,504,649,500,16,503,500,776,503,504,649,500,951,501,500,680,501,649,503,800,503,800,502,501,503,502,500,503,800,501,502,504,501,501,501,501,282,501,649,502,16,503,800,649,649,500,502,503,501,649,502,500,282,800,282,500,800,502,282,501,415,62,502,502,503,503,282,503,800,503,800,649,500,800,503,504,503,649,910,501,649,16,502,800,282,649,813,501,649,800,282,500,500,16,649,502,502,502,800,800,503,501,282,500,503,500,501,502,282,282,649,800,282,800,668,800,502,500,501,282,501,649,501,500,815,503,500,800,500,649,500,649,640,501,501,503,649,282,649,502,500,502,282,501,502,503,502,502,800,501,870,649,649,649,649,500,503,503,800,501,502,523,501,649,502,502,692,252,649,282,502,501,282,503,502,800,501,502,800,800,324,16,500,800,16,72,282,282,500,500,501,500,502,535,502,503,501,503,500,502,502,103,501,282,501,503,503,800,649,501,106,800,502,647,649,501,503,924,501,502,503,100,503,502,800,502,502,649,503,501,500,500,503,649,500,649,800,503,500,757,269,500,500,501,445,502,501,649,649,282,503,282,501,649,503,500,502,16,503,649,800,503,649,503,503,501,649,503,502,503,800,502,503,500,67,800,282,282,807,502,500,501,501,800,500,649,103,503,502,502,503,504,649,649,16,649,800,503,282,649,502,649,912,502,282,800,503,649,501,649,501,503,649,501,393,20,502,282,649,649,501,282,502,501,730,800,503,502,502,503,501,500,503,500,649,717,502,504,501,500,479,503,500,674,282,503,502,502,800,500,503,800,16,960,649,500,502,107,282,282,503,502,500,500,800,965,501,501,502,800,800,502,501,406,282,501,800,649,501,503,344,649,500,500,16,282,302,800,800,282,501,501,503,503,501,282,407,503,16,800,106,502,282,501,500,103,649,282,800,649,500,500,503,292,503,282,800,501,649,502,282,500,500,16,500,504,649,501,649,502,649,800,500,501,500,564,503,501,107,501,800,503,479,800,500,501,649,323,649,503,503,282,501,80,501,502,502,502,231,502,800,500,501,649,500,502,501,800,649,282,501,649,502,412,649,503,503,500,503,326,282,649,502,503,502,16,500,503,502,800,649,16,748,504,503,800,500,800,282,649,503,502,636,581,501,502,16,503,282,939,503,501,501,711,613,649,656,500,500,649,502,800,503,503,502,501,800,504,189,649,800,800,282,372,621,502,181,502,504,649,501,500,502,503,649,107,649,282,502,501,204,503,800,282,502,107,649,846,502,502,500,501,502,486,502,462,800,800,282,800,342,282,502,501,24,502,501,500,501,503,649,800,800,500,500,800,501,501,800,501,107,503,502,502,107,800,282,500,501,503,649,649,501,807,800,500,502,500,500,103,503,921,800,16,501,282,800,282,800,503,502,501,282,501,139,19,800,183,649,649,649,800,913,16,304,500,734,503,282,289,16,502,282,503,503,503,503,649,501,800,282,501,649,502,501,649,501,800,500,800,580,500,502,649,800,501,502,888,500,503,649,503,282,100,800,502,502,503,800,800,103,502,501,500,62,502,500,500,800,503,502,502,500,282,500,502,282,500,421,503,503,15,501,501,500,800,503,649,762,663,280,500,503,649,501,939,800,500,649,500,800,282,107,502,503,501,500,940,503,16,501,649,891,800,500,500,501,282,500,502,996,502,504,503,503,502,800,800,282,800,312,500,649,503,501,800,423,282,16,649,800,649,501,502,649,800,441,503,800,800,282,800,107,502,500,800,502,503,800,501,649,502,501,16,501,501,503,282,800,503,503,503,501,649,282,16,590,800,282,500,800,282,501,649,800,314,500,107,967,502,649,16,734,503,501,501,503,502,755,800,185,503,61,800,501,500,500,501,904,727,501,500,466,649,800,50,16,501,282,503,501,649,503,501,501,501,282,103,502,500,649,503,649,66,649,501,503,502,502,800,398,500,649,16,501,503,649,800,237,800,708,282,282,103,500,649,502,501,502,501,800,501,649,800,627,500,649,649,800,502,501,503,800,800,649,503,500,502,800,500,500,800,503,800,649,501,504,83,501,768,503,501,251,500,654,721,503,500,503,502,282,503,255,501,500,500,649,501,800,282,501,705,649,800,501,501,282,800,800,503,800,500,504,800,16,500,282,502,649,16,282,501,503,282,807,92,500,604,282,314,649,982,503,649,800,16,501,800,501,282,107,649,500,503,649,502,501,500,800,501,282,763,501,16,87,501,178,503,649,16,502,282,502,503,503,649,16,503,500,503,502,501,393,649,501,503,800,282,502,501,649,800,649,502,649,16,501,502,649,282,282,500,502,503,502,16,800,500,501,622,282,282,503,649,500,800,503,282,16,649,649,800,500,800,800,633,282,503,16,649,282,500,282,649,800,800,649,500,107,504,501,800,501,649,503,649,800,800,501,649,800,282,504,800,649,502,800,501,16,503,500,502,502,503,800,282,503,282,16,340,649,501,649,800,500,503,502,500,800,73,159,919,800,649,800,501,649,800,500,501,501,502,503,502,503,500,584,501,488,800,588,282,800,502,503,504,16,501,503,502,56,649,649,178,800,503,502,16,649,502,502,649,503,500,501,502,800,282,649,501,800,502,800,649,503,669,501,501,501,501,501,90,649,605,502,69,800,500,282,800,800,503,649,500,501,500,800,16,282,501,800,355,282,16,503,503,500,501,649,500,887,501,16,501,649,903,800,501,649,501,311,500,501,503,800,671,712,103,503,649,800,793,503,501,501,504,421,500,800,503,758,282,800,502,16,222,16,800,800,501,814,502,800,500,800,800,501,501,503,649,649,16,555,649,649,282,500,980,649,282,502,501,800,500,501,502,987,282,503,503,500,503,800,800,500,503,500,500,500,649,501,501,282,902,933,503,500,800,489,502,500,800,502,500,502,649,706,503,282,502,282,734,503,503,649,656,649,681,800,324,649,800,800,800,503,649,209,16,501,501,503,503,282,503,501,437,500,90,500,800,501,282,502,800,503,503,800,297,16,502,800,16,800,503,500,760,140,501,649,800,501,898,502,500,649,800,649,503,500,502,649,649,500,649,87,800,502,800,350,800,649,501,800,502,800,500,649,282,153,502,500,16,500,502,16,800,503,501,82,503,501,503,193,649,89,502,107,501,502,503,500,649,501,500,74,282,501,502,502,632,500,503,503,649,649,16,502,649,800,500,501,500,800,819,800,800,886,501,502,501,649,649,522,503,480,16,649,800,649,502,500,504,273,557,649,500,501,502,16,502,282,800,500,800,649,500,649,282,649,282,649,501,500,800,500,502,501,500,500,503,649,503,282,503,500,503,501,631,503,500,649,282,501,502,649,282,705,800,800,800,282,800,502,503,649,502,504,500,500,501,649,500,502,499,502,649,649,502,800,501,800,649,501,500,649,502,282,504,800,500,649,502,501,503,604,282,503,502,282,138,502,800,800,503,125,501,500,503,800,503,871,501,501,800,503,649,649,501,500,502,800,502,649,927,800,502,501,501,500,282,103,502,501,649,649,16,503,503,502,502,503,502,500,502,115,502,501,16,502,103,501,503,484,649,107,500,742,456,503,502,931,419,649,282,649,500,16,502,501,800,501,502,990,503,500,75,649,501,501,502,500,503,800,500,800,649,501,500,210,501,502,501,503,649,649,800,800,501,649,112,502,502,367,501,649,902,649,599,996,649,502,501,800,502,500,800,298,800,649,500,107,501,500,104,748,282,503,383,294,500,501,500,649,501,359,502,515,282,503,501,500,800,800,590,501,500,502,649,800,649,16,16,502,501,649,503,649,800,503,501,501,501,500,501,501,800,800,500,502,407,649,501,501,575,503,502,501,649,649,107,282,533,157,800,588,502,502,800,501,502,501,969,500,282,501,503,500,985,501,503,649,501,503,800,500,281,503,503,503,500,501,500,501,501,103,649,800,500,502,504,282,502,502,800,500,501,201,628,909,501,800,649,500,687,800,282,501,282,504,800,649,800,503,500,502,282,500,649,500,465,501,800,500,649,500,501,502,649,501,502,503,696,800,503,500,503,800,502,500,500,433,503,16,282,503,502,899,502,500,800,503,503,502,500,107,502,502,502,282,649,503,800,501,502,261,503,502,649,649,800,220,649,800,542,502,500,649,500,649,502,282,501,649,503,500,282,502,800,67,501,501,500,800,649,800,282,649,649,847,502,501,502,449,800,503,649,282,800,649,800,103,8,800,502,502,649,800,502,220,503,800,502,281,85,502,649,501,501,503,503,502,649,649,503,503,501,500,502,649,628,800,501,649,503,649,396,503,800,504,396,500,501,282,800,500,649,895,282,503,500,502,649,800,393,502,502,501,649,503,282,500,895,501,501,649,503,504,800,500,502,500,503,501,649,503,500,643,282,649,504,503,501,282,282,500,800,502,649,500,503,504,649,503,500,957,500,501,500,852,502,503,503,504,408,503,501,649,885,503,500,800,649,649,500,649,503,502,500,800,649,503,800,649,800,649,501,282,649,500,282,649,503,16,282,597,649,500,502,502,649,800,502,931,282,649,503,503,312,800,503,500,800,501,501,649,500,22,649,800,775,502,313,649,500,800,503,800,649,649,800,649,501,800,807,502,916,502,282,282,502,649,163,501,800,503,282,502,500,800,16,502,503,500,755,800,502,501,103,298,601,500,501,800,503,282,571,441,501,501,95,800,500,502,282,501,462,245,502,502,16,800,649,501,503,16,800,502,107,800,304,800,878,800,800,649,500,502,500,502,800,640,348,501,503,16,500,502,503,800,800,649,800,282,503,502,501,503,501,502,16,649,500,503,500,649,503,503,912,297,649,282,800,500,800,503,800,503,800,501,503,500,502,800,500,16,503,705,500,500,503,503,649,183,649,501,504,501,800,500,800,950,503,500,649,500,475,500,504,503,892,503,282,502,815,500,800,501,500,500,800,501,468,649,500,992,501,468,269,103,625,800,282,500,649,323,503,500,282,800,504,501,501,649,501,107,107,564,502,103,282,981,500,800,501,282,778,502,282,649,971,501,501,282,500,503,16,649,800,282,503,501,502,503,501,800,302,502,503,500,649,856,649,502,500,503,800,501,501,552,526,500,107,502,862,502,502,390,502,503,282,649,994,800,800,501,500,502,500,800,800,502,649,501,800,501,800,649,501,501,282,501,501,649,500,503,504,500,282,354,575,652,504,846,503,502,503,461,503,800,282,503,649,502,503,649,502,282,800,501,500,800,502,800,501,501,503,800,649,500,158,800,800,874,800,649,502,649,408,504,649,800,800,649,459,503,941,386,501,531,800,503,501,503,504,501,501,500,502,502,671,258,280,649,503,500,800,649,856,502,503,16,649,503,502,503,282,501,800,16,502,800,503,800,47,503,503,649,800,501,500,501,649,282,501,500,800,502,503,502,502,800,800,800,503,501,282,800,504,16,500,282,501,502,16,103,502,502,649,282,96,339,558,282,649,649,255,503,705,501,503,714,971,800,16,500,500,503,800,501,799,503,501,649,504,649,503,649,501,356,971,317,502,500,16,500,649,42,649,503,500,649,5,649,502,502,500,649,502,504,501,88,502,503,253,16,649,503,501,649,501,649,185,500,500,649,500,649,282,503,500,501,500,649,800,501,107,500,86,649,282,501,502,800,800,502,502,502,649,649,684,905,500,501,649,649,501,502,500,282,759,655,500,500,220,500,649,503,431,649,286,40,502,503,502,501,800,649,501,500,501,501,503,501,693,800,500,649,503,737,501,16,503,649,800,502,501,649,408,500,501,503,504,649,500,649,800,800,282,649,771,503,649,503,500,502,502,351,282,500,117,705,664,649,502,649,800,500,502,501,81,282,800,502,502,940,649,175,503,503,500,501,500,500,501,649,649,500,649,282,649,649,649,502,800,501,800,807,800,500,501,501,282,501,178,146,111,876,503,800,649,921,500,418,282,649,649,500,501,800,649,500,502,502,501,800,800,282,854,16,502,500,502,649,800,649,503,800,192,501,800,502,500,501,502,501,850,649,501,500,649,800,500,282,282,107,282,500,800,500,649,503,800,649,649,418,16,503,659,503,503,649,649,500,649,502,501,500,500,503,500,584,800,649,800,501,800,503,503,16,502,424,57,649,800,500,503,649,649,501,800,282,16,800,649,503,503,500,501,500,800,503,800,502,501,649,250,282,501,649,649,502,502,501,503,103,649,1,282,861,800,502,501,649,500,502,16,282,644,504,502,501,649,800,800,500,835,116,253,649,503,501,604,800,800,16,500,800,501,503,282,501,502,899,704,500,501,282,800,502,500,502,502,502,800,408,500,282,800,501,501,504,282,282,502,489,800,500,800,500,649,502,800,500,14,800,649,503,501,734,800,501,926,500,175,649,649,282,501,107,16,879,649,800,503,649,500,649,503,800,800,502,309,649,649,800,501,503,501,795,800,503,800,407,800,500,800,500,501,503,800,877,500,649,501,649,503,671,649,503,503,282,649,649,500,502,649,649,501,649,649,665,501,800,800,500,649,502,500,48,649,502,649,502,503,800,503,503,500,282,800,649,501,501,800,649,670,885,503,502,649,503,501,502,503,874,282,778,500,243,503,649,893,502,502,502,502,282,502,16,649,504,800,501,500,282,800,16,486,103,503,800,649,860,501,502,501,800,649,649,501,503,502,282,503,800,705,502,800,904,800,763,502,16,282,500,657,500,649,502,500,282,649,282,683,990,282,800,501,502,282,503,500,502,800,502,800,388,800,302,282,649,503,501,502,501,504,282,502,800,107,282,16,649,501,649,800,501,500,631,800,16,16,649,501,502,649,649,502,282,970,500,501,649,550,502,503,500,800,500,800,502,501,503,649,502,503,901,503,16,649,501,501,229,503,16,502,502,502,800,501,503,317,800,800,501,500,617,34,649,649,282,800,503,142,500,282,502,649,282,503,649,503,649,501,500,649,502,502,503,501,500,501,501,501,16,282,503,282,282,503,503,649,461,503,500,503,282,800,649,503,800,800,140,501,501,501,672,252,282,16,649,503,501,282,649,502,800,16,301,500,800,800,621,649,282,501,800,501,800,502,19,282,800,800,502,503,649,502,800,503,323,502,501,103,649,219,27,282,301,503,501,359,503,800,503,501,282,282,503,503,502,649,800,800,800,501,501,501,649,16,500,503,502,900,500,296,649,500,502,800,800,503,502,503,502,688,649,500,800,502,282,502,500,502,776,282,502,251,282,368,800,503,282,502,504,800,800,800,53,503,800,501,500,896,500,850,500,800,501,16,500,69,85,503,503,503,500,502,501,503,501,503,282,500,282,455,904,502,537,283,649,841,503,500,500,502,501,649,46,800,133,649,649,502,500,503,500,500,501,649,649,649,500,502,501,503,800,756,16,501,504,114,649,49,502,502,16,500,649,501,501,807,800,800,502,800,500,500,800,501,649,800,282,282,537,503,503,501,501,649,800,800,501,502,501,308,384,782,800,501,800,282,502,649,800,500,503,800,503,503,502,503,800,800,453,282,649,544,649,500,649,503,649,282,502,800,762,649,500,16,501,649,500,16,800,649,649,501,649,502,502,649,649,500,645,800,522,501,501,501,800,503,501,500,103,500,500,502,503,800,669,500,800,804,800,719,501,502,547,714,282,800,502,649,282,504,649,800,649,649,500,800,503,502,911,502,649,501,649,503,503,503,500,501,649,800,500,282,42,800,800,800,649,705,282,290,649,649,500,618,282,502,502,800,501,800,502,649,282,500,834,502,680,500,500,649,649,501,503,282,500,649,501,502,800,649,678,501,282,507,500,502,503,800,501,478,501,501,800,500,503,568,502,649,531,503,195,107,800,504,502,502,502,501,500,622,501,501,503,649,649,502,649,282,502,16,500,282,649,503,363,501,500,503,649,649,500,649,502,503,649,503,501,653,500,500,484,649,649,8,649,649,501,282,800,500,800,800,800,503,800,282,282,649,503,504,649,800,503,649,503,400,282,503,504,16,826,500,800,500,501,502,500,502,649,502,503,107,501,500,282,502,649,503,649,501,649,617,503,649,500,501,502,503,503,800,504,500,500,503,503,502,800,503,500,800,501,500,502,649,502,501,705,503,649,501,503,501,504,502,800,649,500,502,800,503,502,800,649,503,502,800,800,649,500,502,502,649,503,604,178,501,501,649,800,800,502,503,649,800,501,649,282,800,649,503,800,500,16,800,503,501,496,649,502,501,800,800,126,501,649,501,501,500,501,501,502,501,502,502,89,649,501,502,503,649,501,649,800,308,500,501,649,649,649,504,714,500,504,16,503,644,649,920,876,845,282,306,282,502,500,500,502,16,502,649,501,649,457,800,282,502,502,649,282,222,503,649,800,33,649,282,649,649,800,500,16,800,501,500,501,500,503,502,800,501,800,959,649,649,800,501,501,500,502,552,502,282,649,502,649,649,501,502,501,649,800,501,502,500,193,500,747,168,501,856,649,375,649,500,778,214,502,500,501,503,501,503,504,503,800,504,503,500,501,649,502,649,502,500,504,501,502,501,267,931,503,800,501,653,16,501,502,16,650,501,503,460,705,503,503,649,649,503,649,501,282,800,107,282,500,500,500,502,649,106,800,500,282,282,438,501,16,503,282,503,615,500,501,111,282,501,503,16,501,800,503,503,800,501,502,908,501,221,503,502,649,503,282,649,754,282,875,501,502,282,649,500,518,503,501,500,501,649,16,282,504,282,502,54,502,502,687,501,959,649,502,649,649,649,501,649,502,502,501,500,800,800,503,501,16,502,504,16,649,502,500,800,800,196,502,310,502,649,883,502,282,800,503,117,16,502,503,800,502,500,503,500,501,500,16,503,500,649,16,503,502,500,953,649,503,503,800,282,282,503,504,503,500,500,500,697,501,501,800,649,800,548,649,500,501,503,649,649,501,800,503,503,800,501,501,500,501,501,503,500,16,501,501,502,502,500,282,501,503,16,800,503,1,649,649,500,502,502,500,500,500,500,502,867,500,16,649,502,503,649,282,500,649,502,503,287,503,258,502,96,649,502,502,502,800,501,861,503,800,649,503,800,500,212,502,502,503,500,503,503,649,503,16,649,501,501,502,496,800,649,502,502,503,649,649,927,502,502,501,282,500,807,800,649,649,502,800,504,502,438,649,500,9,500,639,503,78,503,800,502,501,500,649,649,800,16,919,503,501,500,649,501,501,800,502,503,920,502,502,500,503,501,500,500,500,800,503,800,500,500,800,649,800,503,16,282,282,502,649,502,501,500,649,676,872,502,100,800,649,800,502,503,107,282,649,162,502,502,503,800,501,502,501,501,502,500,649,503,500,800,800,649,807,501,282,649,502,800,501,500,503,503,501,649,500,501,649,503,504,504,16,501,800,800,501,800,800,500,282,800,500,282,502,500,501,501,501,16,800,282,500,500,501,649,282,16,649,501,501,503,501,686,649,649,502,501,631,502,503,800,502,20,501,502,16,649,503,800,800,800,282,502,500,649,502,44,501,649,744,501,502,800,800,502,800,649,649,502,501,501,800,800,500,500,502,16,501,649,501,502,584,800,500,318,501,503,974,282,500,282,532,501,282,501,282,302,500,502,500,16,503,502,579,500,501,800,282,706,996,800,800,501,649,500,649,502,649,800,500,503,282,503,503,800,800,503,649,501,502,503,502,503,649,502,16,502,500,502,16,711,800,501,664,453,800,649,502,800,502,649,503,502,800,503,800,282,504,800,502,501,800,282,712,502,282,282,501,503,500,503,503,503,503,502,916,503,800,503,282,251,800,504,502,501,871,500,649,502,503,386,503,649,649,501,500,501,502,800,501,500,504,107,502,800,500,504,16,282,649,649,649,282,500,500,501,649,500,503,502,990,502,503,503,800,649,650,649,800,734,399,503,656,649,500,501,282,500,649,501,16,500,500,975,501,500,800,501,503,503,503,430,649,649,500,500,503,649,502,503,501,282,500,649,500,503,501,503,649,500,282,501,500,502,501,502,502,501,649,800,16,282,501,193,500,500,501,800,502,800,649,502,503,649,362,126,649,800,16,649,282,709,649,501,500,500,912,503,649,800,502,209,103,500,649,344,649,501,503,649,649,85,904,800,501,504,217,500,502,501,282,501,500,503,502,649,501,649,503,501,500,500,503,502,504,282,800,649,282,501,649,800,42,501,501,503,503,800,500,500,500,503,502,500,171,649,701,256,500,16,649,705,800,500,972,501,800,502,649,282,500,502,501,501,571,16,702,654,649,282,800,800,649,800,502,500,503,373,501,501,502,502,282,800,502,501,282,548,387,502,112,501,800,649,503,649,16,503,503,500,282,800,800,500,649,649,501,501,500,500,551,649,501,282,500,233,504,503,800,501,502,16,649,11,503,800,501,501,502,649,957,800,800,500,649,502,649,649,282,282,502,502,502,501,500,503,649,500,800,530,504,16,800,800,503,500,500,502,552,649,551,91,502,500,282,501,32,800,16,500,502,3,502,502,501,16,745,89,501,282,649,500,794,107,501,502,503,503,800,500,655,502,500,500,278,501,502,500,16,800,500,501,649,16,282,502,774,500,501,501,501,501,649,649,502,501,500,336,282,649,502,282,502,503,500,500,501,800,649,649,503,504,502,500,501,503,501,740,755,501,649,729,501,500,503,503,501,502,500,649,800,800,282,93,445,500,502,653,649,502,248,800,649,800,501,649,503,163,713,944,107,503,520,649,503,186,500,500,501,501,975,500,502,103,649,649,502,503,500,649,500,685,800,648,649,502,649,500,500,501,649,649,503,501,502,282,504,16,502,800,649,500,282,282,500,681,503,500,649,16,800,501,501,282,800,649,885,886,500,16,503,157,500,501,168,103,282,149,502,282,500,502,501,502,503,503,500,500,800,800,800,282,502,649,649,502,503,501,282,316,503,501,501,800,649,649,800,16,16,800,609,649,800,282,282,375,503,503,649,501,282,649,501,800,501,502,502,517,500,501,503,502,503,642,501,503,649,282,500,502,103,502,865,345,800,282,649,500,503,500,855,800,501,500,282,500,800,160,500,934,649,500,503,501,649,649,503,800,639,800,649,503,649,503,500,503,528,503,500,502,800,800,129,800,503,649,501,649,503,800,649,467,282,16,649,800,502,502,500,501,107,501,844,800,282,502,502,501,502,306,500,649,800,926,649,800,501,800,800,501,504,649,649,625,501,363,502,282,702,649,503,723,282,502,874,893,502,649,500,377,500,502,537,503,502,502,500,800,800,500,503,800,500,502,503,282,500,500,545,282,883,649,501,649,501,414,502,361,282,649,503,649,503,504,243,502,500,503,502,501,501,500,273,503,800,500,502,649,500,502,503,500,501,16,800,503,500,282,800,500,501,103,16,649,800,800,501,502,503,500,502,800,800,649,501,501,503,500,501,649,503,103,501,500,282,503,16,282,501,874,501,502,800,503,649,500,800,649,282,402,500,502,500,649,500,502,503,504,500,503,503,502,502,503,500,282,649,800,502,800,503,503,501,254,649,502,649,691,500,500,502,501,787,500,800,502,501,649,500,500,503,502,502,500,800,501,500,501,140,501,502,800,800,502,502,800,649,800,833,500,800,282,282,800,16,502,323,16,500,502,503,655,800,503,282,99,649,649,800,649,649,389,649,502,649,501,826,502,502,649,649,501,500,503,883,504,800,512,503,282,502,503,282,503,282,800,503,503,500,502,503,502,314,500,503,503,282,221,504,501,503,503,503,503,500,771,800,107,502,178,649,545,500,649,502,502,501,502,282,649,282,649,812,501,800,500,800,502,500,800,800,502,500,500,502,501,649,501,800,282,282,649,502,800,500,510,501,800,649,223,444,800,502,502,649,502,501,16,673,75,501,502,500,752,649,500,501,79,502,282,503,649,501,649,731,500,800,548,807,501,502,502,503,436,502,504,504,783,722,649,649,894,16,282,800,153,282,503,500,500,310,501,561,800,649,649,502,649,705,800,649,500,398,500,500,649,503,502,649,500,500,501,649,562,500,282,800,282,503,500,16,649,649,500,343,800,282,503,649,501,502,649,779,503,502,800,503,649,503,550,503,800,503,609,502,431,503,87,501,800,503,720,800,503,649,282,282,500,16,500,800,176,282,500,501,501,282,800,502,800,501,503,16,503,501,501,282,800,501,504,39,500,500,400,649,800,841,501,649,503,502,506,500,501,282,500,800,501,502,501,501,504,649,503,564,282,649,502,282,501,500,504,502,502,503,649,282,282,642,504,501,501,502,502,502,503,16,503,500,503,500,282,771,800,502,800,649,503,502,501,503,282,800,500,21,503,649,103,500,500,282,16,501,649,500,500,500,500,649,172,502,800,789,501,282,649,282,501,502,500,800,16,800,649,502,502,500,669,118,649,503,501,16,16,500,649,282,943,917,282,532,800,500,170,373,503,630,501,501,800,800,16,503,800,500,503,662,501,501,503,500,503,501,502,503,501,800,502,502,500,503,987,649,137,504,538,500,503,503,502,501,282,500,500,800,800,282,282,502,500,16,503,503,649,800,500,800,845,800,501,800,503,800,500,559,500,500,502,502,649,503,500,501,502,649,16,649,622,501,503,503,502,649,649,282,282,649,781,500,649,768,500,282,16,500,354,649,501,501,500,500,500,800,339,649,500,18,502,500,391,503,500,649,25,503,649,501,502,672,316,282,16,503,501,649,500,649,502,500,649,800,501,649,800,649,500,800,503,503,295,673,929,800,945,501,649,503,501,800,800,503,423,800,500,503,502,501,16,649,635,282,800,502,649,501,500,649,649,318,649,503,503,500,649,503,500,649,282,800,501,503,503,501,503,649,649,501,750,503,502,501,68,306,501,500,502,500,500,502,800,500,558,649,800,800,500,502,500,103,501,501,503,500,502,503,649,800,800,500,16,103,649,500,16,800,501,282,503,503,800,500,502,501,500,649,800,500,503,730,501,923,447,503,649,503,503,282,377,503,800,800,504,501,502,502,500,503,504,523,800,502,913,500,500,649,583,500,500,800,504,800,282,800,800,800,649,16,392,501,649,107,896,503,501,501,503,501,503,527,282,47,501,649,502,502,503,500,503,504,503,282,503,502,649,680,800,474,502,502,500,500,800,503,500,502,502,500,649,282,500,282,503,233,649,800,800,800,649,503,500,500,502,649,800,503,649,503,649,501,503,502,649,503,501,501,502,649,649,282,649,649,282,7,500,800,107,16,502,112,501,503,503,503,503,500,502,503,504,800,500,502,800,502,500,501,649,408,500,500,624,800,502,800,478,503,500,500,649,800,407,800,500,800,501,649,16,500,143,503,503,501,501,757,800,107,349,501,800,464,16,502,800,282,800,649,800,800,500,800,501,500,649,502,92,282,501,500,501,502,800,649,503,502,523,16,501,373,649,502,649,500,800,501,500,500,502,800,500,649,800,501,649,500,107,503,800,649,205,501,500,500,501,501,503,502,500,504,501,500,800,502,500,503,316,501,16,649,800,309,503,187,500,503,282,649,500,282,503,932,500,800,502,970,503,501,501,502,502,800,502,500,501,500,501,503,282,502,502,503,502,649,649,501,107,800,800,800,501,649,649,501,265,503,500,502,282,501,282,649,500,503,800,649,504,500,502,107,503,504,500,500,591,649,500,502,502,738,500,986,800,500,800,800,501,800,800,501,501,282,502,800,501,649,501,649,282,500,502,800,503,501,503,500,500,649,649,649,892,800,500,503,649,608,503,649,500,503,503,800,502,503,282,500,500,503,501,502,500,771,649,649,503,754,501,842,800,649,502,500,649,500,501,502,502,282,800,502,282,800,503,500,649,500,500,800,503,431,501,800,800,800,502,502,16,16,649,503,408,502,649,649,442,107,500,502,502,282,16,649,800,502,503,501,501,501,800,500,282,649,500,502,282,282,500,500,502,649,800,598,282,503,649,800,372,597,502,500,649,501,503,501,800,504,500,934,502,812,502,8,503,318,502,502,800,502,503,501,649,503,500,975,800,503,800,501,500,502,126,649,800,502,800,649,502,800,649,503,502,500,311,800,501,649,987,501,501,500,502,501,800,800,503,232,502,800,16,649,649,501,503,501,502,649,503,500,440,501,503,282,504,282,800,500,649,800,282,649,282,500,649,364,282,501,501,16,574,649,714,500,608,649,942,16,502,649,500,800,501,649,107,501,502,502,649,649,681,800,649,502,16,649,800,503,503,503,500,500,502,800,649,649,800,502,649,800,500,404,500,503,502,500,800,989,5,800,649,501,649,500,503,503,503,151,282,501,800,649,503,501,649,649,649,502,649,282,502,500,503,504,649,649,500,649,306,503,503,500,16,503,16,649,502,500,502,500,649,924,282,494,502,649,501,501,501,16,501,282,501,500,800,977,500,504,800,282,649,503,503,500,501,503,649,5,503,649,649,649,502,107,178,100,501,649,800,649,501,800,800,800,503,502,500,504,504,504,800,500,649,500,923,949,800,282,501,937,503,482,649,359,490,107,503,503,501,501,3,424,800,501,800,800,16,503,649,500,282,800,800,263,503,228,500,867,503,502,282,440,649,500,503,744,501,502,277,500,503,501,503,803,360,556,832,282,502,410,501,500,503,649,500,800,503,800,501,282,502,503,500,983,502,282,649,800,800,502,502,16,500,649,501,649,501,502,649,800,500,503,503,800,501,748,504,502,203,800,649,282,503,649,649,503,282,969,501,33,288,502,503,107,282,649,649,800,800,537,501,501,503,537,742,649,502,500,500,649,500,594,889,503,800,107,503,503,282,110,649,503,800,767,282,502,649,500,196,16,649,800,800,649,649,500,503,700,649,501,501,282,649,800,500,578,800,502,800,504,800,282,502,406,807,500,501,501,517,502,16,503,500,666,501,649,501,500,502,649,503,503,800,501,502,500,800,800,503,503,503,89,501,649,500,500,502,503,800,501,16,502,501,503,389,501,503,502,500,282,649,649,501,248,502,503,502,501,503,800,504,504,649,501,282,649,502,649,649,649,632,16,800,649,501,501,357,502,500,649,504,649,800,502,502,503,502,800,956,660,501,502,800,800,503,501,16,800,465,649,649,504,800,649,501,16,503,282,649,503,501,503,649,502,502,501,649,503,501,500,502,503,503,16,500,649,501,800,502,500,649,500,501,502,800,649,500,800,242,22,72,649,16,649,282,16,501,502,800,723,456,16,800,503,649,800,500,282,800,500,503,503,800,500,944,501,503,503,103,501,649,800,993,282,500,800,649,501,649,860,501,10,503,800,278,16,501,500,800,649,501,282,482,502,282,16,502,503,502,502,503,503,762,800,649,649,800,501,649,649,501,486,16,504,800,501,800,800,282,502,503,282,800,649,500,501,107,984,649,502,502,500,800,541,800,504,501,800,503,16,282,282,705,649,503,282,501,501,762,282,502,649,501,502,649,16,503,800,501,282,16,858,857,500,16,282,649,502,504,800,107,800,800,282,501,800,501,503,502,503,502,16,103,649,675,800,503,504,752,503,777,649,417,282,282,502,500,503,500,503,500,502,800,649,443,782,500,800,503,649,282,500,502,617,282,501,325,503,649,649,800,323,800,502,678,16,500,649,649,500,501,501,502,800,282,503,282,500,800,800,649,282,500,500,282,649,649,800,8,502,649,649,800,503,500,858,16,210,800,800,501,502,502,501,503,800,16,800,501,448,502,502,502,500,649,708,643,557,675,504,642,500,501,501,948,503,503,282,503,800,501,502,500,649,800,800,800,500,503,500,503,800,649,961,501,500,743,649,282,501,502,502,800,503,504,282,501,800,503,503,503,503,800,500,501,500,649,649,502,502,649,800,649,501,16,282,502,394,16,500,500,434,503,649,501,503,800,500,503,649,500,501,536,503,503,956,16,503,502,500,554,500,282,16,403,503,809,282,649,800,501,503,800,502,503,502,502,800,47,896,500,800,501,800,502,282,282,713,800,16,800,501,456,649,503,503,241,502,501,501,282,16,159,500,800,800,502,502,501,800,683,501,649,767,565,501,800,500,500,502,502,501,649,649,501,501,800,899,87,649,103,649,503,501,282,500,501,157,800,500,649,649,649,800,503,800,504,800,502,503,500,501,502,16,282,503,224,500,282,282,501,800,502,558,649,282,500,506,503,501,500,649,649,503,8,503,649,502,502,961,503,502,282,501,502,503,502,649,500,282,500,649,649,501,800,502,502,502,42,501,502,362,500,649,50,696,503,649,500,502,500,500,800,502,649,501,800,629,502,16,502,342,502,503,500,849,500,649,800,502,500,501,16,649,500,502,800,800,453,502,502,649,649,800,500,16,214,503,800,282,323,500,282,170,503,502,16,501,810,501,800,578,800,336,649,800,870,503,501,500,500,649,282,282,501,23,246,500,800,649,501,501,800,503,503,503,649,500,489,800,649,501,503,649,649,500,502,501,800,966,16,649,649,478,500,500,649,501,282,500,500,502,502,649,500,504,502,501,639,282,502,134,502,282,282,501,800,503,501,800,503,728,800,3,502,501,800,282,500,649,503,649,501,39,800,649,502,649,501,16,503,282,501,501,501,500,502,800,649,501,649,501,800,800,501,500,501,500,504,503,16,503,503,649,503,504,500,133,503,649,800,500,16,503,500,500,800,649,282,620,800,500,649,502,500,502,800,503,501,800,16,502,501,252,800,649,503,699,503,611,272,649,501,282,501,282,500,649,800,16,502,649,501,502,502,504,282,502,649,800,501,649,502,502,502,503,500,501,282,500,467,282,501,16,595,107,278,800,501,649,503,501,503,800,500,500,503,501,502,800,502,503,500,502,502,534,502,299,501,501,502,274,800,649,502,500,16,649,503,649,500,649,282,503,807,739,800,502,501,502,501,500,649,589,501,500,501,649,502,649,649,649,961,37,503,500,500,501,502,503,503,502,282,503,649,500,157,946,500,503,500,800,503,16,500,649,800,649,504,282,503,503,800,504,502,282,16,501,649,503,501,649,800,503,502,502,649,501,800,501,500,717,500,800,503,500,500,282,123,629,328,500,503,800,503,16,358,500,503,649,649,800,800,503,502,800,800,487,458,500,104,502,503,502,503,501,501,800,503,503,501,501,606,649,723,800,500,500,800,835,94,501,500,282,501,329,502,800,282,800,504,504,503,501,501,937,504,501,503,502,502,16,800,501,282,501,501,501,501,649,503,500,500,795,501,501,252,503,800,649,800,503,502,80,150,500,649,649,503,502,502,500,16,500,500,16,503,800,282,170,500,994,53,649,503,323,69,502,649,500,503,500,502,107,282,16,503,649,502,503,502,800,502,800,501,503,500,503,503,649,800,500,501,649,118,502,503,500,800,16,503,502,800,107,800,137,998,649,649,502,184,501,502,500,800,502,800,502,282,297,261,282,501,500,882,502,649,500,501,282,800,500,649,502,800,501,282,800,438,52,800,800,649,503,502,282,501,800,500,649,502,503,502,500,800,649,649,649,379,154,500,346,800,282,500,502,500,282,503,800,502,501,649,502,502,800,502,502,501,503,282,649,282,501,649,501,649,282,34,99,501,800,800,501,500,501,800,503,628,500,501,800,800,502,501,502,649,222,649,282,502,760,500,502,800,888,502,502,329,800,25,649,800,502,282,691,500,504,501,502,649,501,502,800,800,701,500,649,501,504,800,503,649,800,500,502,800,649,800,502,224,800,503,503,507,502,502,800,649,501,649,504,375,649,649,649,500,501,500,649,502,502,503,282,500,16,16,501,284,516,340,415,282,878,500,800,282,500,282,649,800,649,107,502,800,107,649,500,500,501,800,800,800,107,800,649,503,502,317,16,800,649,500,501,503,503,500,649,500,503,428,500,502,500,500,503,472,649,502,503,649,504,800,147,502,500,800,502,570,500,282,500,503,503,500,649,800,16,189,800,800,649,282,15,16,500,503,282,500,282,503,800,500,500,503,501,501,128,649,501,375,649,501,282,501,502,502,503,282,800,501,501,649,501,500,502,800,282,800,282,502,649,588,500,500,500,16,649,16,503,282,16,822,73,800,500,502,800,500,608,621,649,500,503,282,503,500,800,635,328,16,501,649,800,800,649,502,649,649,800,500,500,16,457,502,649,500,800,16,103,853,501,649,800,502,800,503,649,500,649,503,500,103,500,800,350,500,649,502,827,800,103,649,502,282,503,800,282,500,886,503,503,16,657,503,16,16,503,501,800,500,800,649,649,500,503,500,902,501,649,500,800,503,502,500,282,502,16,800,282,502,503,504,501,501,503,649,501,649,501,504,800,500,800,500,649,282,502,501,501,800,502,501,649,502,504,502,800,800,503,502,282,500,500,719,649,502,728,502,737,500,282,402,649,800,800,800,800,637,502,503,16,502,800,501,649,387,649,649,503,501,711,500,800,501,501,359,501,16,502,502,16,500,648,502,649,100,687,501,501,906,501,649,800,282,502,501,649,437,501,649,500,960,500,649,503,677,502,800,501,502,500,500,800,502,649,503,501,501,800,800,502,649,649,502,502,503,927,649,503,16,800,500,500,800,503,800,503,502,544,781,501,282,800,500,800,807,649,800,501,503,503,502,282,722,484,649,800,622,590,502,501,502,502,282,77,502,282,656,800,649,500,16,501,502,800,502,504,800,502,500,649,353,503,863,501,649,282,962,503,290,800,504,649,503,503,649,502,503,501,278,500,500,500,500,814,800,502,649,501,501,16,503,827,649,501,503,502,503,649,965,500,500,500,500,502,501,649,503,649,282,282,501,500,649,649,503,500,649,502,282,500,282,649,649,282,503,800,674,800,500,282,503,502,501,16,507,500,503,800,800,503,649,194,503,503,502,282,800,500,16,282,501,657,16,425,500,503,504,649,1,649,649,503,501,501,500,800,502,936,607,502,503,99,800,501,800,500,800,907,503,502,649,407,649,503,502,501,649,470,649,501,502,503,502,500,503,282,800,649,501,649,705,500,800,649,800,501,179,503,4,502,649,800,500,855,501,435,282,502,842,501,800,649,500,649,501,282,11,500,501,649,323,503,501,503,282,800,503,649,501,501,800,826,502,502,800,503,800,16,501,294,327,16,502,540,282,800,501,282,500,503,503,800,501,649,280,107,502,649,502,502,220,502,800,649,500,501,800,282,502,503,800,503,588,503,501,500,103,499,865,502,649,800,502,16,800,501,503,800,502,503,16,862,502,502,501,501,282,800,500,502,502,535,503,501,502,16,800,282,649,502,170,282,649,819,16,502,800,503,501,265,16,175,16,501,800,16,16,800,501,350,800,649,502,504,501,502,500,800,282,649,800,504,502,501,500,282,502,282,649,800,745,500,503,502,503,503,649,503,282,500,502,503,649,800,500,502,500,428,503,500,504,500,503,501,649,501,800,282,503,500,800,500,500,502,503,501,373,649,103,502,800,649,617,649,800,501,502,282,502,800,500,501,649,501,502,800,800,649,502,503,282,504,107,800,501,282,649,501,637,282,16,500,800,282,182,501,500,501,649,503,503,649,783,501,500,501,501,649,800,502,502,503,502,504,461,282,502,502,569,800,800,649,501,705,502,503,800,501,800,649,503,501,282,649,800,503,278,649,107,800,502,800,502,500,159,500,649,500,500,800,501,800,502,503,501,501,282,103,500,621,282,800,503,800,237,503,16,859,16,502,649,649,649,649,103,502,16,502,500,500,503,282,501,282,501,503,282,502,502,800,800,502,800,282,282,649,501,804,282,503,546,800,800,649,866,596,649,448,649,502,649,500,500,501,649,502,282,16,500,497,503,501,500,649,500,502,800,503,86,503,649,502,800,649,502,800,282,649,500,500,501,500,503,282,616,500,501,600,16,501,502,800,504,502,800,649,282,503,500,800,501,282,281,196,649,500,500,540,800,649,503,500,501,504,649,800,800,16,502,501,504,500,282,500,800,282,8,16,16,651,369,649,501,705,282,501,649,500,502,282,958,500,500,716,463,500,107,282,504,500,501,649,16,502,103,502,503,501,800,800,500,501,800,649,503,501,649,103,500,765,500,204,282,649,501,800,500,503,449,500,502,501,16,737,16,502,502,800,503,502,500,501,501,502,501,501,800,503,503,502,800,16,664,502,649,891,501,501,800,282,800,500,101,649,800,500,501,848,649,339,505,503,649,804,501,649,282,800,800,649,649,894,502,800,500,501,502,800,500,221,503,16,811,649,649,501,501,649,482,502,282,107,107,800,502,17,501,500,502,503,814,649,649,503,502,141,500,800,502,800,800,649,282,500,200,496,502,504,500,16,501,649,894,503,500,502,649,710,503,503,500,500,744,649,500,291,503,736,107,500,501,282,503,807,500,800,800,501,649,503,503,800,502,503,811,500,502,501,503,800,241,500,800,800,503,501,787,649,502,504,501,503,501,501,649,649,649,504,750,165,242,503,500,800,16,502,500,500,503,501,500,500,800,282,502,503,502,800,504,16,800,84,800,500,503,503,501,721,800,502,504,500,282,500,800,502,780,500,800,503,154,800,649,503,503,16,502,502,649,501,503,282,626,502,800,800,649,503,282,500,282,503,500,800,800,800,503,502,649,649,16,500,503,503,807,800,503,649,503,800,649,649,501,503,649,502,502,501,649,501,800,501,503,985,502,282,500,502,503,373,610,36,503,503,500,503,501,503,134,800,800,503,500,503,800,649,800,16,501,800,800,800,682,800,503,501,501,649,503,756,501,502,649,501,500,800,800,724,649,500,501,867,500,649,413,457,282,502,282,503,502,500,500,501,16,501,649,649,502,500,800,504,800,503,16,649,728,282,16,13,503,500,649,501,800,500,874,649,501,501,800,16,501,937,500,502,42,649,501,503,309,438,236,649,503,649,502,649,501,500,622,500,500,501,688,502,800,800,501,502,649,871,560,503,282,501,502,500,705,282,649,503,500,502,501,501,800,790,500,502,800,649,500,800,800,501,319,282,649,614,500,436,319,800,502,502,502,500,692,502,800,103,503,282,500,800,649,503,503,800,500,501,282,500,503,88,980,500,649,649,649,800,16,800,502,500,382,841,293,800,501,500,282,282,800,503,500,108,533,501,795,503,502,500,501,649,649,649,282,500,502,503,503,503,500,503,501,500,500,503,502,705,800,501,582,500,442,502,503,502,649,146,166,282,500,502,845,16,500,500,501,649,503,649,501,500,502,503,501,649,500,500,282,501,800,649,260,500,104,500,876,500,500,649,649,501,500,503,503,800,649,502,501,800,500,866,503,649,800,501,282,502,649,503,727,500,800,519,649,290,649,800,649,503,649,16,500,501,282,501,502,945,800,649,800,500,800,501,800,649,705,500,800,649,282,500,502,502,984,282,800,16,503,256,649,107,500,503,755,501,502,649,504,641,807,501,503,800,593,649,500,800,500,649,836,197,503,800,501,282,503,500,800,393,503,503,800,649,800,501,649,502,501,501,649,800,6,16,501,727,282,500,502,502,503,649,500,254,282,282,233,501,282,503,649,800,800,800,282,800,500,503,500,705,800,503,502,649,649,501,500,800,502,503,502,680,800,500,800,501,500,502,282,501,800,502,202,503,501,649,800,649,501,800,649,649,500,649,800,502,501,502,800,502,503,502,466,800,649,282,503,649,503,649,800,500,733,501,649,937,503,503,800,551,503,649,502,282,500,800,503,282,503,500,16,502,500,503,501,103,500,234,503,16,282,503,503,800,800,502,649,107,502,500,502,96,503,500,404,16,649,503,282,502,800,649,500,502,500,500,500,649,503,800,800,501,649,502,649,800,501,500,24,501,502,501,500,649,503,649,503,800,603,16,649,501,500,502,649,800,502,500,19,800,500,500,500,875,649,500,282,503,502,503,343,500,502,501,282,649,502,502,448,282,503,800,500,16,282,503,501,500,327,500,737,649,500,649,16,649,800,16,103,502,503,831,282,800,503,800,16,500,649,500,502,282,282,500,501,503,649,502,501,16,16,502,649,649,502,649,951,503,249,501,649,501,649,802,501,502,501,649,649,501,502,502,501,500,649,800,501,503,649,500,800,649,282,282,16,503,500,282,502,282,16,649,503,764,649,503,502,201,500,282,503,649,501,501,502,223,502,501,503,800,500,500,282,282,649,649,41,500,501,500,501,503,800,501,282,500,501,503,649,800,500,500,872,502,649,282,282,649,404,503,501,800,800,501,503,501,500,501,500,82,503,649,21,703,702,16,202,800,649,502,501,76,895,282,649,800,800,501,649,853,500,500,500,800,503,503,375,500,800,448,501,503,649,503,502,649,502,282,649,502,649,107,800,649,800,649,800,16,282,503,503,502,500,503,649,502,501,800,282,503,501,282,502,500,800,649,500,503,500,800,282,502,501,800,800,16,502,502,500,800,502,502,503,503,500,282,504,501,501,503,501,593,705,495,282,502,501,501,502,501,800,800,503,705,800,500,503,649,501,502,514,800,649,501,319,503,501,501,503,502,501,500,118,501,766,800,501,800,502,16,502,800,502,649,502,649,500,800,789,8,503,800,500,502,800,500,649,653,502,649,501,502,800,800,800,501,502,501,874,649,502,229,501,501,800,501,800,282,502,502,502,282,502,800,503,500,502,501,503,649,649,106,503,16,501,649,500,502,501,500,649,282,503,502,500,503,563,500,377,502,504,500,16,649,500,502,502,800,502,501,666,282,781,800,128,501,502,16,500,500,500,503,504,502,501,502,917,649,500,500,500,503,501,800,501,649,282,649,310,502,860,800,500,649,16,107,165,501,800,715,16,800,800,500,649,500,282,649,501,649,503,501,503,502,501,736,501,649,500,503,282,16,107,502,500,530,502,502,993,800,501,800,500,501,282,800,16,502,503,479,503,503,501,107,500,800,649,800,846,501,800,501,649,501,800,500,500,649,501,649,800,107,503,502,800,800,649,282,390,649,800,500,503,500,841,10,503,649,158,649,502,503,502,649,503,649,649,502,183,503,248,649,109,282,502,502,503,649,500,649,500,649,501,509,282,260,500,800,301,501,401,246,429,504,800,649,103,501,501,503,500,503,800,16,282,504,503,537,503,503,503,501,502,502,16,501,500,501,649,503,170,502,282,649,502,500,501,503,221,503,500,500,500,501,649,502,502,502,500,502,503,800,502,206,500,501,500,800,800,503,16,800,282,800,282,649,500,503,282,239,502,282,501,649,649,500,501,16,23,501,501,500,178,501,800,800,503,800,656,503,282,503,500,649,649,282,502,501,649,282,92,800,502,800,401,649,502,807,282,501,501,502,107,503,815,501,16,800,503,502,582,500,649,501,800,500,500,502,649,649,502,502,501,504,800,649,500,649,502,500,649,500,502,502,501,800,500,16,800,503,502,503,16,503,628,282,800,282,800,501,649,918,82,500,501,503,504,16,500,501,942,800,500,673,501,107,501,500,501,840,503,32,649,649,502,800,504,800,800,282,500,501,503,282,502,501,501,503,503,282,792,282,503,503,503,29,800,501,649,502,377,502,16,16,500,501,501,907,502,27,800,500,649,800,282,16,649,649,500,649,503,800,803,649,500,503,503,503,800,503,649,800,259,16,501,886,503,501,503,504,279,282,282,502,501,800,503,337,649,800,16,649,501,504,501,649,501,500,800,503,16,501,649,501,504,282,649,798,800,501,382,503,503,502,502,282,500,800,282,503,501,103,501,501,500,800,649,502,500,649,282,800,800,502,547,132,503,502,16,501,800,500,282,800,649,649,800,504,502,503,503,437,502,500,501,503,502,649,800,502,501,503,339,800,519,800,16,800,800,649,501,501,649,282,503,649,282,500,502,16,503,502,500,502,503,501,800,649,625,714,16,800,503,501,503,79,649,649,500,800,504,503,502,800,503,504,282,282,503,649,500,500,503,501,500,226,502,504,860,649,504,16,501,504,500,705,501,500,152,501,503,16,800,800,282,16,501,800,649,649,649,800,649,503,503,16,500,501,503,696,649,500,800,800,503,502,502,107,501,501,61,649,500,504,503,649,649,501,501,503,399,800,412,501,502,501,800,502,800,503,500,501,502,649,282,800,500,103,500,502,948,800,649,800,800,503,502,649,649,500,503,800,711,800,800,503,501,800,800,52,503,501,936,500,800,502,649,649,16,503,282,501,362,503,16,503,503,503,17,16,500,16,800,501,501,502,503,649,503,502,502,502,800,282,69,502,500,503,800,174,500,502,502,502,282,282,501,500,282,501,800,500,968,504,503,502,501,282,28,589,649,503,16,503,649,500,800,502,649,800,502,503,501,502,649,264,808,501,282,500,502,503,399,128,282,500,502,503,833,502,885,296,597,800,502,504,16,502,649,502,602,501,501,501,649,503,500,500,501,800,800,503,500,800,800,500,500,501,502,292,282,503,502,649,500,323,800,501,502,500,500,800,282,501,502,800,282,906,245,103,500,142,500,282,501,501,502,340,282,282,800,151,501,504,503,649,432,107,501,282,503,503,800,282,649,800,501,835,503,26,16,503,502,282,502,800,273,762,29,649,282,649,649,800,800,800,16,500,800,800,500,649,649,800,502,503,502,649,16,500,501,503,504,502,502,503,501,800,503,649,649,500,502,502,649,501,503,500,16,503,501,502,501,282,649,800,649,649,758,501,502,649,649,502,501,649,501,282,500,500,500,649,103,500,500,503,503,500,800,649,502,333,649,649,649,502,503,160,282,664,502,341,965,503,500,502,500,905,502,649,501,502,503,502,800,282,649,800,500,500,500,502,503,500,800,649,502,500,503,501,54,649,282,282,502,500,504,649,234,503,800,500,502,501,649,503,421,501,500,800,503,501,502,502,500,649,282,282,501,502,501,502,649,503,800,500,800,501,501,16,705,504,503,800,16,501,500,536,502,107,500,649,518,501,800,282,649,705,502,502,503,282,500,16,282,501,800,807,504,501,649,780,325,503,282,502,501,503,649,503,501,572,649,203,649,501,649,649,296,503,205,649,503,503,874,501,500,649,500,503,800,502,504,365,193,500,649,282,800,502,501,106,16,649,100,503,503,502,501,502,282,291,649,500,800,649,502,800,107,800,502,649,649,800,173,500,501,500,649,649,800,502,13,500,649,654,107,503,800,282,500,502,501,502,501,500,504,88,503,502,649,800,502,733,282,649,282,501,503,649,800,551,502,501,501,282,848,649,649,501,504,800,503,503,501,800,502,282,500,649,500,800,807,649,464,800,503,500,800,800,502,16,500,800,649,745,649,500,454,502,503,649,504,503,107,500,500,649,800,107,800,282,501,391,800,502,502,503,282,500,693,22,649,501,500,218,502,282,502,282,518,501,501,649,502,800,255,503,288,314,502,501,937,665,500,800,500,502,16,800,282,306,570,649,649,649,232,649,800,528,503,501,503,800,649,500,501,503,649,503,800,649,187,500,16,800,500,500,282,800,503,870,503,503,800,482,800,800,503,282,800,282,500,502,503,502,500,502,501,503,282,282,502,503,800,672,502,730,800,649,800,282,649,501,501,800,800,501,879,800,503,649,503,501,500,500,502,502,649,501,662,649,800,504,282,704,501,501,649,800,501,16,500,501,649,649,282,501,649,705,800,435,502,150,501,995,649,800,800,800,649,649,800,500,500,502,501,501,503,503,503,800,501,180,503,500,649,649,800,501,501,800,500,500,500,800,16,800,501,502,800,282,141,800,282,502,800,800,501,503,800,626,649,16,649,503,796,500,500,800,503,503,973,503,98,503,800,800,502,16,800,737,16,502,282,649,502,502,731,503,501,502,501,500,501,500,800,16,502,502,800,503,503,91,16,502,282,503,649,501,649,501,504,502,501,500,502,282,282,282,502,675,800,502,503,282,502,282,194,503,500,107,501,649,649,682,502,500,502,649,501,503,735,649,282,649,800,503,16,282,502,656,501,502,800,649,649,649,503,800,502,501,800,502,649,500,500,649,649,500,493,501,502,501,500,664,800,282,648,282,503,107,800,501,503,229,501,649,948,430,502,503,800,502,504,500,649,578,291,500,502,649,649,502,156,500,503,282,712,17,649,502,504,16,503,500,800,751,16,503,496,502,503,800,800,649,500,800,282,930,800,502,503,800,501,500,282,953,264,649,503,649,649,800,16,800,502,500,500,500,500,800,501,649,501,375,503,187,431,500,649,800,501,502,800,649,503,500,500,500,164,800,501,282,800,649,503,501,502,649,649,503,500,649,502,503,502,501,502,504,16,66,502,500,502,800,545,500,800,600,282,502,503,16,16,500,503,501,774,722,800,14,649,607,649,800,649,502,964,800,16,502,649,475,503,800,16,282,67,282,800,502,800,502,180,500,500,282,103,501,649,504,501,500,504,649,800,501,282,380,503,502,689,501,503,649,502,502,503,500,512,500,16,800,693,503,282,649,501,800,800,500,649,500,500,500,502,649,500,503,282,649,503,308,502,500,502,819,282,915,501,501,649,649,500,500,800,800,503,800,503,503,502,282,16,800,649,500,501,500,501,503,501,649,649,333,386,800,172,501,501,800,500,282,649,504,800,501,957,503,800,282,504,503,654,649,501,800,501,501,462,503,800,282,649,649,503,130,502,841,282,503,503,800,767,503,107,282,503,282,16,282,502,501,649,500,800,800,649,503,501,500,501,107,649,500,500,501,503,500,503,16,649,800,501,501,800,570,500,282,800,502,319,501,104,502,500,800,500,282,502,800,503,502,503,500,503,500,500,800,282,502,282,502,16,800,97,400,501,282,800,500,709,649,501,503,282,501,649,500,24,880,500,502,800,502,500,502,16,649,168,503,100,649,800,500,504,649,500,16,800,502,16,502,800,807,800,264,800,503,504,800,282,649,649,649,501,800,649,500,649,649,500,282,500,800,503,649,636,16,501,500,649,502,501,282,500,500,500,16,501,944,501,936,501,103,500,500,502,512,16,800,501,500,279,502,503,502,503,501,649,649,649,503,503,978,249,501,282,800,282,600,649,503,649,649,800,649,502,800,500,347,501,501,649,107,500,501,979,502,503,503,501,649,16,501,502,503,113,649,16,503,503,282,500,4,649,16,613,503,282,649,16,800,500,500,500,500,502,800,649,16,500,800,800,444,282,502,800,282,501,282,500,502,282,367,282,282,649,98,800,282,632,282,100,649,501,656,502,503,662,649,500,800,501,502,502,502,501,501,500,649,501,881,959,500,502,203,162,649,501,500,500,282,502,500,500,466,502,97,649,299,503,800,837,800,503,800,800,502,500,503,649,800,500,800,16,800,238,800,260,502,500,649,471,502,800,500,503,800,16,649,501,800,565,565,503,649,282,428,500,502,500,500,298,282,409,495,107,649,282,500,504,501,820,866,649,504,501,503,500,503,16,501,649,500,16,800,503,501,432,16,800,649,502,275,502,500,500,800,871,552,503,501,503,501,40,503,500,649,16,502,649,503,70,504,800,502,921,282,500,282,16,502,503,477,455,800,501,800,649,500,503,16,502,501,800,503,502,800,800,800,503,107,502,525,502,501,502,500,501,500,800,800,502,502,500,923,320,501,502,500,832,501,107,502,504,282,800,649,502,500,649,636,649,543,649,282,649,501,503,282,503,500,501,502,503,502,529,504,800,500,800,503,901,501,800,649,282,800,800,502,503,649,501,496,649,503,800,462,800,12,649,501,800,282,503,800,800,503,501,800,649,649,649,5,500,501,649,298,501,759,16,649,501,282,503,502,503,502,503,800,649,282,957,649,966,282,746,800,800,649,649,16,282,500,502,340,10,503,649,503,282,282,502,649,800,503,502,282,800,788,500,369,800,649,502,203,649,503,282,800,500,282,501,800,800,800,282,503,295,502,649,502,961,501,502,282,568,219,503,500,501,500,501,800,501,649,83,501,152,649,649,502,501,800,800,502,282,16,502,500,369,502,649,16,502,282,502,500,501,500,800,500,282,502,500,502,649,649,501,501,274,649,503,501,800,501,501,500,649,502,502,502,617,501,493,501,503,800,16,800,503,500,502,981,649,501,948,504,16,16,501,329,503,800,502,504,289,503,968,282,502,502,744,282,502,502,800,503,282,502,503,724,503,16,16,16,16,503,649,874,503,649,800,502,649,204,502,476,502,502,503,800,227,282,501,500,800,800,800,16,649,649,444,800,502,800,501,282,501,649,501,963,16,800,501,649,500,503,649,649,649,503,800,71,500,502,503,282,500,502,649,800,91,503,649,649,500,502,501,500,800,16,500,649,501,117,31,501,811,501,322,502,501,501,502,263,734,500,502,502,502,500,447,800,503,800,500,500,501,282,282,501,581,503,282,800,282,16,188,502,282,503,501,500,800,503,503,503,503,800,500,800,502,892,500,500,500,501,500,649,800,501,500,282,501,501,649,800,501,500,16,501,649,503,282,800,503,649,649,502,503,503,649,504,800,503,282,501,16,501,500,501,800,501,282,800,689,800,503,800,502,282,501,501,504,500,500,500,504,502,501,649,649,800,649,501,649,500,649,16,502,503,501,649,502,649,501,501,16,502,256,501,501,649,438,800,441,503,504,352,504,500,236,502,282,501,502,649,649,501,16,502,649,282,501,649,939,502,800,504,504,502,501,501,501,115,503,502,107,504,800,504,800,503,802,503,852,800,800,500,750,502,791,503,16,503,282,500,649,501,502,649,502,501,800,501,503,504,800,500,502,16,282,800,649,649,503,503,800,500,503,500,16,501,16,504,800,502,649,501,504,800,501,503,682,501,502,501,500,800,500,71,502,800,502,502,503,501,503,503,551,649,649,649,800,503,503,16,837,500,503,500,800,501,503,500,501,502,800,501,800,649,649,502,282,800,501,336,584,16,500,501,800,501,501,964,503,800,502,103,503,500,503,503,500,500,800,282,503,649,501,282,107,502,502,800,501,633,800,282,503,800,500,500,800,500,282,500,502,501,503,504,501,501,800,501,502,503,500,502,984,800,502,503,649,977,503,649,472,649,502,501,500,502,420,503,230,503,282,500,502,502,503,502,800,501,17,500,649,502,503,104,500,800,502,500,502,501,911,503,392,282,800,282,349,512,107,800,503,16,103,500,502,503,964,500,501,500,503,500,501,509,503,20,800,501,500,504,982,28,649,649,503,501,502,500,800,502,504,944,502,502,800,800,282,502,502,649,649,500,503,501,282,800,649,500,649,500,649,649,502,501,649,501,649,500,504,282,897,500,501,800,501,502,503,800,649,649,282,16,500,800,602,502,502,107,501,639,800,503,649,649,503,282,500,501,502,800,800,503,649,73,502,119,501,503,500,833,511,282,483,502,502,500,502,503,501,282,503,16,16,404,503,503,502,263,729,503,800,800,282,800,649,649,649,633,502,282,103,16,501,649,500,500,501,652,502,800,501,649,501,123,107,502,501,500,197,16,800,501,800,503,500,649,501,649,502,71,649,979,460,503,282,103,800,502,502,502,502,500,861,800,502,500,503,503,537,501,649,203,502,427,649,800,501,501,502,649,502,500,282,649,16,650,501,103,800,168,879,502,16,502,500,500,500,649,800,16,649,502,800,282,502,649,113,649,504,501,210,913,503,16,16,800,649,500,282,800,500,118,16,501,800,175,503,501,335,503,800,501,502,500,649,107,501,503,500,500,500,649,282,504,982,649,800,500,501,649,302,813,503,502,503,501,503,800,500,503,649,503,503,501,500,501,502,16,670,503,351,649,501,800,649,282,500,649,503,649,502,649,500,502,649,502,800,649,800,503,501,649,501,282,800,800,500,501,501,501,501,500,500,500,500,649,502,501,502,217,502,502,220,649,502,282,500,282,800,53,649,503,523,503,649,209,503,501,500,800,800,649,501,282,504,503,500,500,950,503,913,784,16,800,500,500,65,423,800,500,649,503,282,320,240,649,501,503,800,800,649,282,260,500,503,800,649,649,311,503,503,501,500,649,874,923,348,501,701,501,282,800,500,800,259,503,649,502,649,649,501,649,501,501,502,500,107,500,501,800,500,282,503,107,649,16,649,502,503,354,501,501,503,800,500,282,649,502,900,503,649,501,502,503,500,16,502,649,800,649,500,502,832,501,502,502,500,577,649,649,649,502,502,649,282,500,501,502,500,501,500,500,807,501,282,502,501,282,501,126,649,800,501,516,16,504,800,503,649,501,502,502,530,16,502,502,800,503,800,800,649,649,649,502,501,649,502,282,503,501,501,282,502,180,919,501,502,502,501,649,503,800,503,502,800,649,501,800,513,503,800,800,502,800,10,502,501,800,649,649,960,503,62,501,103,800,126,500,500,500,500,282,502,95,501,502,500,500,800,502,800,919,282,500,502,503,800,503,649,800,103,501,500,500,503,503,374,500,501,649,501,16,800,503,800,668,800,503,502,649,502,502,501,500,16,502,500,282,503,567,685,503,501,800,788,649,25,502,649,502,282,503,501,282,503,500,649,800,500,336,500,649,946,649,501,451,282,244,800,501,649,500,644,503,16,501,503,502,649,800,501,800,500,503,503,500,502,649,500,282,282,649,500,282,141,649,16,282,282,16,503,364,502,500,502,501,501,103,501,16,649,502,502,282,503,502,500,500,282,800,502,649,800,282,800,502,503,504,500,500,282,80,503,800,282,502,672,502,917,503,501,282,282,282,282,282,501,501,282,503,502,16,501,861,649,423,502,501,502,502,501,649,649,501,725,501,282,800,282,649,503,85,649,500,387,800,503,502,800,502,500,649,107,107,800,503,649,103,500,649,503,501,500,800,503,502,500,281,500,501,501,861,895,800,800,503,500,699,501,503,758,800,504,282,500,503,649,502,282,800,502,500,500,502,500,666,800,800,800,649,676,649,307,501,500,196,971,500,649,649,649,649,501,501,649,233,282,282,502,500,501,282,195,502,774,502,502,649,502,503,16,501,500,501,800,882,501,800,649,501,143,631,649,16,16,160,503,500,800,500,502,500,649,282,800,282,503,282,503,649,649,542,649,500,503,520,503,502,501,500,282,501,502,500,649,649,922,282,503,16,649,501,501,500,500,502,800,800,503,501,502,502,500,598,503,282,991,503,500,501,501,676,282,649,16,282,500,501,503,649,800,500,501,501,649,282,107,501,500,502,800,529,649,503,503,107,649,500,245,502,500,16,500,178,503,501,800,374,649,649,800,800,764,502,500,107,500,649,800,500,649,112,503,500,503,649,502,282,502,502,501,502,800,503,649,124,800,500,649,500,503,282,16,800,16,193,500,649,649,500,534,800,800,503,500,649,800,503,502,800,713,107,502,501,500,501,649,800,502,502,503,649,503,649,502,503,155,800,649,500,500,282,501,502,649,819,500,800,500,705,16,503,73,237,282,500,501,502,501,502,800,649,649,649,800,500,500,501,502,503,500,596,800,482,649,649,502,503,502,649,500,282,500,502,500,501,282,598,282,282,642,501,502,16,500,649,500,502,500,503,500,501,501,500,282,501,146,649,649,501,803,649,800,500,504,232,649,282,503,500,501,503,282,908,500,282,800,282,500,649,503,503,800,503,502,800,800,649,527,800,800,501,502,16,800,649,649,502,500,282,609,503,500,800,16,503,16,500,622,16,502,502,800,682,502,500,500,800,500,500,16,800,705,501,503,502,504,649,649,504,282,503,649,502,501,259,800,502,743,503,649,189,649,800,501,649,502,649,800,503,500,501,16,649,500,649,502,800,282,502,800,501,502,503,502,800,419,800,649,501,649,500,501,503,503,649,558,504,500,503,503,649,502,388,649,501,24,501,282,503,800,503,282,500,504,282,800,501,174,714,800,800,501,501,800,314,649,107,649,503,502,503,282,868,500,800,800,500,502,800,503,934,649,649,649,851,503,800,500,500,500,259,502,800,500,501,649,800,581,501,501,282,503,800,500,503,863,503,649,500,500,501,800,501,503,649,503,649,103,547,800,502,501,800,500,501,282,800,500,502,957,340,649,629,600,282,649,502,555,502,649,502,502,878,500,5,501,502,781,800,800,96,503,800,500,649,16,113,335,500,16,503,502,504,502,502,649,501,103,649,503,859,681,158,503,502,649,503,500,503,800,649,649,649,282,917,501,501,500,503,503,649,649,503,500,501,800,502,340,503,502,649,649,282,502,800,503,503,800,501,649,282,500,501,800,800,501,502,649,845,649,800,503,502,649,500,536,800,16,282,529,38,500,484,649,500,503,282,504,500,282,557,502,800,306,649,500,501,16,649,649,800,510,501,501,282,504,502,649,800,502,500,504,800,282,649,649,649,16,502,502,503,800,649,503,501,833,209,800,503,800,501,16,649,800,502,502,649,501,649,800,501,16,500,649,800,649,503,500,800,800,649,500,649,500,282,282,282,503,782,282,800,501,800,503,800,649,501,502,800,282,649,502,191,502,107,800,171,502,524,692,502,649,800,282,501,649,501,800,501,649,800,502,282,500,502,800,502,501,501,501,16,501,500,500,500,502,183,502,235,282,502,502,649,800,501,502,503,501,500,503,800,503,649,604,503,501,500,649,501,649,500,500,649,503,500,282,503,502,502,502,529,500,503,649,501,462,503,503,975,800,501,800,501,649,761,500,501,649,500,501,503,469,800,501,649,800,649,501,800,501,99,649,500,800,501,500,501,502,488,503,501,502,502,502,717,282,800,800,282,503,649,282,500,649,503,282,465,282,904,500,500,502,282,503,115,526,500,649,502,800,800,800,502,649,800,500,500,503,4,504,500,800,501,800,270,503,800,100,500,503,500,503,100,500,420,269,282,500,500,649,501,116,502,502,282,500,800,500,16,502,800,649,355,501,282,649,800,282,501,16,282,503,500,282,500,16,282,282,502,501,500,649,649,503,107,282,503,500,649,825,800,502,501,800,501,282,502,501,503,502,500,502,649,500,501,503,500,800,502,501,501,16,500,649,107,16,519,282,958,173,501,501,800,503,500,649,800,293,800,501,501,500,500,724,501,500,502,308,503,800,501,501,649,282,800,649,503,502,649,501,51,502,282,501,503,503,800,282,502,649,503,282,500,500,500,502,282,649,504,503,427,800,800,66,282,501,500,503,800,649,41,9,847,500,282,501,500,649,500,501,503,282,800,649,500,712,500,694,503,16,649,16,500,974,503,503,16,323,159,107,502,501,181,467,502,502,500,680,500,282,705,500,649,649,503,6,601,502,503,649,503,500,649,984,502,501,800,501,800,500,800,649,502,500,282,282,502,649,502,800,800,500,503,502,500,239,500,501,503,503,501,282,649,503,649,501,103,500,502,282,500,503,503,800,500,501,800,501,800,319,328,503,501,929,800,503,501,800,500,500,501,501,502,500,500,800,501,501,800,501,501,16,504,502,352,502,503,503,649,502,649,649,503,228,502,649,501,649,800,501,500,501,649,3,800,502,649,385,16,261,223,500,500,502,503,500,503,503,500,502,649,16,298,282,800,107,502,502,500,501,501,501,500,501,500,501,800,501,500,649,502,420,800,502,504,500,503,649,1,503,502,500,503,282,502,649,503,500,649,503,500,501,505,649,501,666,503,210,649,800,800,649,649,776,282,501,295,649,651,501,800,649,500,503,503,500,503,503,282,649,649,502,649,649,501,502,800,501,800,682,500,170,184,501,800,282,800,800,500,501,452,282,800,502,500,501,726,800,503,503,137,16,502,800,502,502,501,649,778,653,501,800,502,500,500,800,282,501,501,800,500,649,448,503,974,16,504,282,800,503,502,124,500,649,482,800,649,500,800,800,500,800,503,503,282,501,503,500,502,649,282,228,282,800,500,649,16,649,500,503,103,649,503,501,800,436,800,503,502,80,501,501,500,503,502,502,103,502,503,503,503,501,580,502,282,501,500,282,502,502,500,502,649,502,502,503,501,502,502,649,500,649,501,964,649,282,800,649,649,407,282,503,501,969,500,504,16,502,500,500,501,800,800,501,503,503,503,500,649,257,503,500,500,502,502,500,501,502,502,503,107,501,500,500,649,500,973,16,503,16,282,282,500,500,649,502,649,502,667,698,282,800,501,500,16,500,16,649,282,800,282,502,502,800,634,649,501,800,500,503,800,502,282,16,649,649,800,16,282,503,500,800,500,501,580,501,503,649,800,500,649,503,500,649,502,814,800,501,503,503,649,649,502,500,16,501,649,502,503,800,502,800,302,800,500,336,503,16,686,500,500,503,500,502,502,500,800,500,501,103,800,430,800,800,103,777,502,503,503,800,282,503,500,502,800,655,501,649,500,649,16,500,501,800,502,282,800,503,502,282,282,800,500,502,501,649,503,500,500,649,502,503,387,503,500,621,800,502,800,504,16,800,800,501,282,649,282,800,649,16,224,684,800,649,503,356,282,501,800,503,800,501,504,800,649,649,500,501,501,500,501,800,502,649,980,500,500,868,800,288,502,815,800,262,800,107,501,500,649,276,800,800,503,502,282,649,649,503,503,503,500,504,740,502,16,501,501,800,500,502,282,649,502,503,502,84,641,501,500,502,503,107,800,500,503,787,282,500,465,502,502,501,502,800,649,16,800,649,501,503,649,500,504,502,500,107,503,503,154,381,385,807,282,503,502,504,501,800,800,16,649,503,502,649,157,800,649,649,500,937,948,500,800,501,500,500,501,649,23,760,501,502,500,312,800,282,649,844,500,502,282,502,649,649,503,503,615,490,501,649,800,800,503,800,800,503,500,590,501,800,503,500,503,502,501,500,500,503,503,649,501,503,247,282,713,751,12,16,800,503,503,881,500,501,501,503,502,246,500,747,107,504,502,501,501,503,649,902,800,404,501,649,780,649,501,503,503,501,649,502,800,800,753,504,502,375,687,504,502,861,584,501,500,705,649,502,649,16,649,282,500,867,800,649,502,501,649,502,800,159,272,503,503,118,500,503,649,501,649,501,649,501,500,501,649,502,503,485,800,800,800,500,6,874,649,500,649,501,649,19,501,800,12,16,800,633,800,286,282,648,501,501,649,800,503,501,504,501,649,282,502,501,331,501,502,502,501,501,291,16,661,503,500,778,500,368,800,800,800,502,502,500,649,16,800,501,502,649,503,503,501,800,649,282,503,503,500,282,502,649,502,502,282,503,649,649,500,800,953,649,103,776,501,107,502,16,649,503,800,501,684,414,800,88,355,195,195,649,501,649,649,649,800,649,649,800,800,649,501,649,16,282,705,501,282,501,282,649,501,502,800,503,503,503,500,649,501,160,649,187,282,819,503,282,649,501,800,500,503,800,501,599,282,503,500,503,500,500,503,503,503,688,501,503,282,649,501,800,282,105,649,500,502,509,503,503,500,500,502,649,649,725,502,501,503,282,800,503,800,687,503,649,306,502,502,501,503,800,16,502,649,500,649,649,800,282,615,282,649,282,913,537,282,282,319,503,502,649,16,503,800,657,649,502,282,501,503,282,16,503,16,501,649,282,29,212,16,501,501,502,502,501,503,282,503,500,538,501,282,649,107,567,501,800,649,501,503,282,501,500,800,649,677,502,502,500,649,501,282,649,237,16,500,314,103,500,800,895,501,503,16,530,501,800,800,500,501,502,282,500,500,502,649,502,501,500,500,501,502,500,305,503,503,715,500,503,282,503,638,502,501,282,649,16,800,461,800,501,131,739,502,502,800,501,503,502,800,504,800,649,800,800,16,649,16,282,502,649,501,214,282,301,16,800,16,503,649,503,800,649,16,800,800,502,501,500,282,500,502,649,800,16,800,503,502,282,502,500,293,649,504,486,31,649,800,500,16,501,504,88,500,800,503,649,800,649,501,649,503,107,500,800,465,503,504,502,501,501,282,649,800,953,800,800,649,487,588,649,504,800,503,649,503,500,649,800,502,649,503,500,800,839,503,502,502,503,503,501,800,501,800,649,501,649,504,582,501,649,339,525,361,928,800,715,503,282,503,502,502,800,504,501,502,800,500,503,502,800,800,500,609,649,502,800,282,501,800,800,502,503,282,282,502,502,649,504,500,800,502,503,800,649,503,500,649,500,800,649,16,501,273,502,649,503,800,649,74,501,524,258,501,649,800,649,500,282,500,503,501,500,800,282,649,503,649,502,501,939,503,649,503,503,800,130,500,501,500,503,501,800,500,255,503,649,16,649,282,503,501,503,800,500,503,800,800,501,800,649,504,503,649,502,16,502,267,649,501,501,501,282,501,800,502,649,800,501,502,282,503,500,151,649,503,500,500,282,501,282,502,649,503,649,649,800,503,649,771,503,411,649,503,500,649,500,16,503,649,503,649,282,800,875,947,818,649,501,649,649,502,503,500,800,500,500,500,502,649,500,649,800,503,649,500,504,503,500,282,503,502,500,649,503,501,501,500,503,649,500,501,800,503,361,504,502,501,800,503,501,649,502,107,502,500,282,107,502,503,282,800,16,503,282,500,606,800,502,649,501,282,282,500,501,282,282,823,649,500,254,500,16,16,107,501,682,751,800,503,503,649,886,515,800,504,503,282,504,649,800,504,502,282,649,649,649,585,503,503,501,626,486,503,649,16,16,503,502,503,502,501,503,503,504,500,502,503,844,780,800,517,502,649,157,502,502,649,502,502,502,800,503,800,649,501,649,502,500,800,107,593,502,503,500,633,16,503,501,500,503,181,800,502,649,503,501,501,800,500,613,199,501,500,504,16,444,502,502,502,649,501,800,503,502,282,502,503,703,503,503,501,649,532,502,501,800,700,501,501,649,503,500,800,800,502,800,800,503,500,500,800,501,503,501,500,800,245,800,649,605,649,501,503,501,500,282,790,503,503,502,800,100,502,503,876,500,21,500,649,800,805,699,502,282,500,502,501,500,500,649,341,649,361,503,31,16,704,487,501,502,649,649,500,501,649,504,500,523,501,282,171,501,500,500,501,500,649,502,503,503,500,501,649,800,503,649,16,649,649,800,800,763,649,632,504,649,107,501,156,810,500,500,800,800,649,502,501,44,503,501,649,800,501,500,282,501,816,503,800,649,800,503,500,107,649,502,501,891,649,501,649,649,501,107,240,16,502,503,502,649,282,649,649,501,502,282,502,500,800,501,501,501,503,649,504,502,502,431,103,649,502,501,51,705,649,649,500,501,77,500,501,649,500,649,501,503,503,502,649,501,501,503,503,991,502,501,501,800,649,173,503,114,502,800,502,649,909,503,800,500,502,503,503,502,282,503,414,500,649,502,500,502,649,649,502,800,903,800,500,16,500,16,16,503,649,466,649,649,731,500,502,503,501,500,282,500,765,503,649,501,649,379,164,500,800,502,282,280,501,800,504,502,107,107,800,501,649,649,500,503,800,282,500,800,492,503,503,649,649,649,502,503,470,353,891,282,16,282,500,501,501,800,502,282,649,649,500,535,502,649,463,503,777,800,649,649,649,503,503,504,500,501,502,500,500,503,503,800,282,312,649,800,502,500,649,16,800,503,652,800,800,649,800,57,501,649,500,893,502,649,800,943,500,16,282,428,500,103,503,503,649,16,672,16,16,282,500,800,649,49,649,502,282,500,503,500,913,500,800,610,501,800,500,649,649,649,501,649,996,649,911,952,16,503,800,16,903,800,649,503,649,501,107,800,282,500,500,125,649,800,503,502,500,501,649,501,500,501,282,800,501,503,503,503,502,649,503,282,800,502,501,649,503,503,98,500,800,503,502,502,222,502,568,502,503,503,501,448,800,282,649,503,501,649,800,503,16,649,501,500,107,649,503,800,16,501,649,502,649,16,19,649,326,649,502,501,649,502,934,122,501,502,501,282,502,500,282,503,649,649,800,503,918,502,502,501,501,500,577,649,16,502,649,503,649,649,503,282,800,502,800,282,501,649,649,500,500,500,501,249,500,500,100,107,502,995,500,501,16,649,500,649,500,501,649,763,282,502,649,282,282,282,649,800,649,16,282,503,501,282,504,649,501,800,500,503,502,16,500,220,800,504,649,800,800,800,503,800,807,500,446,501,500,502,502,809,501,16,282,500,725,500,502,501,649,502,649,800,16,500,649,365,503,800,103,282,282,504,649,500,16,649,887,800,503,282,442,16,502,282,500,313,502,503,502,501,800,800,500,500,649,500,132,500,699,502,502,503,501,504,800,282,500,501,503,501,800,503,500,501,500,800,502,16,502,800,649,503,135,502,449,500,501,500,503,800,874,501,500,500,501,583,16,800,503,649,503,502,326,649,649,500,491,502,500,501,503,503,649,103,503,997,825,16,502,16,502,503,16,530,800,502,282,800,501,500,502,502,501,282,501,800,899,117,503,800,501,501,282,502,282,282,503,503,502,500,396,800,502,503,501,800,501,229,501,503,502,800,502,501,800,501,143,500,282,501,649,503,501,502,16,846,800,545,282,800,611,502,800,100,800,501,503,503,502,649,800,157,502,502,649,502,649,501,16,649,504,500,500,800,649,103,649,500,649,500,649,649,800,649,174,760,282,649,501,501,501,800,800,800,503,501,502,16,649,502,800,733,649,800,595,501,503,800,649,503,800,649,503,649,500,16,503,649,649,500,500,502,502,501,800,649,474,500,649,800,282,503,501,649,669,500,501,649,649,282,800,800,502,770,800,513,501,503,500,282,500,649,663,500,800,292,696,822,502,800,649,946,502,800,504,500,502,501,696,502,282,502,6,500,501,503,502,282,649,503,16,501,800,501,191,502,500,298,500,649,500,48,501,502,800,501,503,16,800,800,649,501,502,800,503,503,501,503,501,800,504,649,503,649,501,282,784,800,282,649,500,474,503,502,503,103,500,376,649,501,800,800,503,501,500,502,708,649,800,501,282,282,647,500,649,649,501,500,800,575,503,500,800,500,16,500,500,503,649,502,176,501,500,649,502,502,502,503,282,800,16,504,282,504,500,649,502,16,649,504,502,501,501,800,800,649,16,503,503,502,501,503,502,494,500,796,503,800,147,504,800,800,800,800,649,649,501,503,503,800,347,762,649,502,103,502,115,147,800,503,649,500,649,501,16,502,649,503,502,502,500,649,518,502,502,649,501,503,500,800,277,150,503,956,503,503,502,502,503,16,800,16,282,800,103,501,502,318,502,502,502,502,501,502,649,502,282,800,107,503,800,16,800,503,503,502,800,649,282,502,501,500,800,800,649,107,503,638,800,501,502,649,501,502,501,500,500,503,503,502,649,253,649,649,800,500,800,649,649,649,501,501,800,649,981,504,479,136,800,500,503,500,800,649,502,703,800,649,503,705,800,800,502,503,503,503,502,649,502,500,16,800,503,420,502,649,501,649,503,500,501,500,503,502,649,503,501,776,851,107,365,523,503,500,500,649,501,503,649,502,800,238,503,502,800,503,503,92,503,800,649,781,800,800,500,500,501,800,282,649,800,500,500,503,649,503,649,649,503,500,500,502,649,502,800,501,502,282,210,500,503,502,974,13,649,100,282,500,481,500,500,502,501,548,800,501,677,500,800,649,503,649,501,501,501,500,503,78,557,500,649,502,500,649,503,103,800,800,649,501,282,800,504,189,503,503,502,705,800,16,502,800,154,503,282,500,500,501,503,503,649,503,800,502,500,500,429,502,800,502,502,430,649,436,503,500,282,502,500,502,649,800,502,978,502,501,500,800,457,502,500,502,503,95,800,501,282,502,800,502,649,503,649,502,800,286,282,800,481,502,16,500,16,502,800,500,282,800,800,503,503,649,649,282,649,649,504,501,500,107,800,500,500,282,503,500,501,649,760,502,800,649,800,502,502,502,502,16,800,500,649,473,851,107,502,282,503,649,503,503,800,500,503,502,5,501,161,501,649,800,200,502,307,107,800,16,500,501,501,800,503,967,800,500,503,107,800,16,501,500,501,503,800,800,503,502,649,649,502,501,649,503,649,649,503,800,503,649,500,649,501,16,800,932,501,503,501,649,504,500,649,503,461,500,282,800,282,800,649,649,500,282,800,649,800,503,649,282,502,503,649,500,503,380,502,502,16,282,502,503,500,354,649,800,500,501,500,502,800,961,649,501,16,135,16,649,500,800,500,800,503,649,501,504,502,282,503,800,104,649,983,501,649,503,504,624,502,856,502,500,503,107,504,502,503,500,500,800,282,503,504,800,30,649,501,800,500,502,800,800,502,282,800,282,503,500,849,503,504,504,503,502,503,598,282,500,500,649,500,649,649,649,500,649,503,502,503,503,503,78,503,503,501,502,502,16,500,502,800,649,500,649,847,502,500,125,282,282,16,282,800,502,501,246,500,649,220,502,503,282,502,501,502,500,353,500,800,501,800,103,672,325,649,649,501,800,649,500,503,649,649,170,282,800,800,800,800,800,800,502,501,502,500,503,502,649,649,502,269,923,649,501,500,800,503,500,649,800,282,13,500,282,503,800,501,503,649,502,503,503,501,501,800,500,282,503,501,503,501,649,16,503,500,800,800,501,500,800,649,649,502,502,800,504,16,502,504,282,502,601,800,649,502,16,501,800,500,503,503,800,800,118,649,503,282,500,422,502,800,282,503,16,503,503,503,16,649,502,649,502,864,504,500,282,800,503,500,103,501,120,501,649,649,800,500,800,649,800,800,503,649,501,503,503,502,500,502,502,501,502,40,503,649,501,649,800,282,502,649,282,500,303,502,282,502,800,649,16,649,500,500,649,503,501,503,501,500,649,682,503,500,502,476,107,503,800,800,195,503,503,282,503,501,800,503,502,16,500,649,282,500,503,501,282,502,500,649,500,282,642,501,649,800,592,339,800,16,93,501,500,649,501,649,282,501,800,641,649,107,501,800,500,649,647,503,649,157,502,16,800,501,502,800,501,501,649,800,800,800,358,599,16,442,58,113,399,282,501,800,649,745,649,501,502,501,501,282,500,503,502,501,552,503,501,503,503,800,502,503,501,503,502,500,502,500,500,203,501,500,501,359,282,649,228,728,282,800,500,734,500,503,504,609,649,649,500,16,16,16,282,501,800,500,500,800,502,502,282,501,500,178,119,103,500,501,501,501,818,502,959,503,649,502,501,502,503,282,656,401,800,501,500,500,500,95,970,800,500,800,942,649,16,267,282,502,446,282,282,503,501,800,502,233,16,502,500,502,800,269,64,583,502,503,501,15,807,502,649,500,500,500,649,16,502,501,649,16,501,800,107,16,649,502,503,501,282,503,500,800,503,282,501,501,74,800,282,649,800,800,857,500,502,503,501,800,649,501,800,502,800,630,800,502,649,502,501,502,800,503,807,503,504,649,649,502,16,649,503,800,501,649,500,800,502,504,500,16,500,800,800,501,800,649,16,360,502,501,503,503,502,402,282,730,500,503,649,76,501,649,649,282,649,800,503,502,501,649,631,500,649,501,500,800,500,502,282,649,502,194,500,500,439,107,501,649,16,250,500,503,649,800,113,500,500,282,503,800,501,800,860,503,282,800,501,486,16,503,500,282,649,311,502,649,800,318,503,282,500,504,501,654,107,16,107,501,500,502,649,500,649,800,610,16,649,500,16,500,122,502,500,500,800,282,500,16,502,504,294,649,501,800,22,503,649,8,502,502,800,16,502,899,503,525,649,503,421,800,500,462,800,500,965,502,859,503,282,800,500,501,550,500,649,282,800,800,649,321,502,501,800,800,502,649,503,502,649,16,107,502,800,500,500,500,500,502,16,500,649,649,501,502,800,500,16,503,500,649,500,466,501,649,502,705,502,503,503,501,500,500,860,282,649,282,160,282,800,800,500,501,500,501,502,502,500,878,502,502,48,501,385,500,503,502,500,455,500,503,3,501,503,500,604,500,500,501,501,236,904,800,500,500,501,649,649,501,649,800,503,800,282,282,466,555,800,502,161,501,500,502,502,500,649,501,501,501,800,502,501,282,501,503,617,500,800,502,501,502,501,501,501,131,503,378,19,503,502,501,476,649,620,503,800,649,103,800,500,502,502,16,282,282,500,500,649,649,282,502,503,649,501,503,500,501,503,282,107,503,503,649,16,649,800,649,500,502,649,896,800,501,504,500,469,649,800,16,501,649,282,649,503,500,800,649,500,800,649,502,649,800,500,501,502,501,649,501,502,503,649,500,503,800,501,800,501,170,878,500,800,500,649,502,503,282,917,502,800,502,503,282,500,649,501,501,649,800,253,158,862,800,859,502,501,311,800,649,503,649,503,800,500,503,501,16,503,282,649,501,503,649,502,504,649,800,649,649,501,503,501,503,846,503,500,800,503,504,16,503,117,304,649,560,500,501,501,502,78,503,903,800,501,501,800,500,500,501,502,502,501,800,500,800,501,800,16,724,503,282,500,800,649,14,800,501,501,502,282,800,800,503,501,500,649,312,502,800,503,800,500,649,800,503,800,282,502,649,800,16,107,503,501,503,800,502,500,92,502,800,108,502,800,501,800,649,649,500,500,500,649,503,49,649,503,503,16,502,282,649,775,16,502,500,502,800,500,649,502,501,503,501,500,282,382,282,501,500,649,282,502,501,501,503,800,500,800,502,713,500,501,103,649,800,97,500,282,800,500,500,175,501,503,501,649,649,649,503,503,502,503,634,103,800,500,800,793,649,282,490,501,649,501,318,501,649,649,502,282,282,501,504,649,502,500,282,962,817,500,16,501,500,16,16,800,500,501,3,649,649,800,649,9,501,113,500,501,800,282,503,649,502,55,649,16,649,16,649,501,126,321,502,502,800,503,500,649,503,16,573,282,800,832,649,649,800,503,503,500,747,503,503,502,800,649,350,502,800,500,502,501,500,500,500,649,921,501,501,501,16,282,502,800,353,800,800,800,503,649,282,500,649,800,294,503,649,503,502,186,502,649,649,502,800,282,282,649,649,649,501,800,502,502,103,502,71,501,282,502,282,503,502,107,502,500,16,500,502,500,100,649,874,214,649,800,649,434,503,500,552,501,501,500,500,800,500,649,800,502,20,800,503,501,282,649,649,502,502,999,282,503,503,800,972,649,800,800,16,501,500,649,501,501,282,800,502,649,649,705,502,503,649,503,501,501,500,503,500,649,800,503,800,800,282,800,500,649,502,316,16,103,800,649,504,16,800,503,502,716,800,538,500,619,503,501,501,613,282,107,37,649,500,503,585,503,502,800,500,501,501,500,800,282,502,800,414,500,800,800,282,800,500,503,503,800,800,500,649,502,501,503,306,199,502,282,388,502,63,649,500,282,800,501,649,800,90,800,500,649,649,2,800,504,502,500,501,800,282,649,219,405,500,500,501,846,81,800,16,649,500,16,282,966,800,503,503,649,501,502,501,800,282,736,501,500,501,931,800,770,282,501,649,649,649,282,503,649,501,641,501,835,502,501,501,502,800,232,501,497,649,282,500,502,502,503,649,750,16,501,504,107,649,638,503,500,501,259,500,649,501,500,649,500,503,282,282,282,649,503,282,740,107,502,503,827,501,500,615,649,502,282,678,649,500,282,649,800,649,501,649,133,502,500,800,800,282,103,800,501,649,500,649,502,282,649,503,800,503,16,282,649,800,502,16,800,500,501,501,649,16,503,503,502,115,282,807,282,870,500,282,501,649,503,16,501,282,649,100,800,501,503,687,908,500,501,502,616,649,502,649,755,501,282,282,800,501,501,905,16,107,705,501,503,503,16,282,649,501,526,800,503,649,500,16,503,800,282,649,501,502,501,503,866,503,501,282,500,500,502,252,502,502,649,649,800,800,500,502,502,16,502,503,502,800,649,649,501,503,503,500,388,127,500,501,800,282,649,649,501,500,502,282,500,649,800,800,501,16,500,501,501,986,501,16,501,501,501,503,649,500,800,502,282,502,96,16,502,503,800,500,800,502,503,16,596,500,500,503,503,501,800,649,500,649,649,500,500,649,502,357,502,500,501,500,503,649,649,503,949,649,908,501,503,502,649,800,502,502,837,504,649,501,800,800,16,649,211,282,502,50,502,649,503,504,502,503,789,16,640,501,501,800,378,16,282,502,502,502,367,649,500,649,649,16,503,502,502,500,103,501,501,501,282,649,502,425,502,306,800,649,501,800,649,501,649,282,500,16,501,174,800,502,800,396,88,178,502,501,503,649,502,500,501,347,502,503,503,501,800,501,503,649,282,501,800,501,504,282,544,649,800,502,282,504,500,501,800,501,649,502,548,501,655,800,649,500,500,503,502,630,384,238,800,501,500,503,504,502,416,502,800,426,649,503,800,50,649,649,649,800,333,503,503,503,649,282,800,501,503,649,800,282,501,503,503,502,282,501,500,501,282,501,103,500,500,649,916,501,500,502,471,503,800,503,500,282,649,282,502,624,800,503,16,800,502,502,282,649,282,107,16,503,501,500,501,649,500,503,500,800,282,282,274,500,501,649,800,502,503,800,502,800,500,500,503,9,501,502,793,790,501,251,502,500,501,851,649,803,624,800,649,500,500,500,282,649,500,502,502,502,282,592,500,649,649,502,107,503,502,800,503,800,500,649,16,390,503,649,314,800,649,224,501,676,103,800,444,503,744,192,502,282,502,502,800,501,501,879,649,502,503,500,800,502,800,419,503,16,649,282,649,187,503,16,500,502,800,649,500,501,502,502,166,501,282,282,501,282,503,500,502,186,503,16,501,583,649,800,800,800,800,649,501,503,16,761,800,503,697,503,649,502,522,502,502,503,500,503,500,503,500,503,502,634,282,800,800,649,501,800,500,2,501,649,649,800,800,502,800,213,501,501,500,501,282,502,282,501,831,502,500,501,347,503,501,800,502,57,107,500,502,800,800,765,501,800,503,500,800,501,500,649,502,501,502,504,862,504,501,907,502,800,502,500,502,71,503,500,501,502,649,501,282,282,500,502,649,282,282,649,649,800,503,501,800,237,649,501,800,219,500,503,502,500,502,501,501,16,500,649,504,649,702,399,168,800,500,16,649,500,649,502,502,503,503,649,649,800,502,649,500,107,649,500,502,503,282,282,503,282,500,103,649,501,649,649,500,800,107,263,974,220,16,800,500,103,800,501,502,502,16,501,503,16,649,282,503,800,46,643,800,500,918,503,649,282,500,282,504,649,503,649,502,500,500,501,800,501,502,649,500,282,500,500,615,649,503,282,502,800,503,16,800,800,501,282,800,862,500,500,800,502,502,800,501,504,800,800,584,503,503,503,649,501,287,500,500,649,503,501,328,692,807,502,500,754,500,800,622,282,282,282,16,420,121,800,502,503,502,633,501,826,282,282,503,502,502,828,846,800,705,502,503,503,800,501,649,752,504,501,387,16,800,460,649,649,800,501,800,502,502,649,16,282,501,503,446,500,503,503,899,800,800,502,88,502,503,503,512,16,503,500,503,16,501,16,282,800,210,500,500,501,641,282,282,485,800,504,649,16,282,800,500,502,800,800,503,800,579,500,107,248,800,743,440,640,282,649,502,503,501,505,502,163,502,54,502,282,501,282,715,649,500,303,258,800,800,727,502,16,800,800,501,500,504,997,800,649,502,282,500,501,503,639,501,865,347,800,649,170,800,282,800,159,16,800,649,649,502,800,503,616,16,500,649,503,555,800,51,282,800,503,500,649,597,502,502,503,649,282,649,16,502,503,309,501,365,500,282,502,503,92,533,501,503,800,800,503,500,319,16,282,501,501,502,503,502,502,504,780,649,649,649,604,817,649,800,502,649,500,791,990,282,649,16,282,282,501,501,500,501,501,980,649,282,500,500,503,649,800,16,503,501,649,649,503,502,800,502,502,500,880,282,107,282,501,897,502,409,800,504,500,503,500,503,837,800,282,503,800,502,501,649,502,503,504,800,502,141,500,504,800,501,503,800,16,500,501,310,500,501,649,503,800,800,649,501,800,504,649,649,649,649,800,503,500,800,107,503,503,426,501,755,800,800,342,800,800,16,649,800,501,502,502,503,502,800,500,99,178,649,502,500,504,500,282,501,800,282,800,206,16,504,501,800,431,649,800,500,649,649,500,500,800,800,503,502,836,500,800,649,800,500,649,501,910,923,500,503,282,16,701,500,502,315,679,649,800,503,503,964,500,503,800,800,503,503,503,649,103,500,503,502,659,502,502,501,343,282,800,649,404,746,800,501,500,500,131,502,282,503,501,503,791,500,502,502,606,502,800,282,649,500,892,502,649,503,500,282,501,503,800,800,800,500,282,649,800,282,501,502,501,502,502,206,500,502,9,500,140,501,501,836,500,649,390,501,282,262,282,211,502,800,705,594,16,800,502,450,502,504,503,800,649,704,501,800,133,464,501,16,500,649,500,501,500,593,501,282,503,800,800,501,503,282,282,502,500,649,503,490,107,800,504,800,501,800,189,501,800,282,800,649,824,970,800,501,151,500,649,649,282,502,282,503,500,501,322,649,649,503,503,991,282,501,642,570,500,254,646,500,800,800,503,500,501,502,503,16,649,800,175,16,800,501,503,502,800,282,16,503,800,503,870,649,501,502,282,501,502,649,649,503,303,500,70,649,649,501,502,503,474,501,501,503,502,800,501,824,369,514,800,502,800,154,500,282,503,503,503,501,501,503,503,503,649,500,800,800,504,501,16,282,800,504,501,501,849,503,502,649,649,501,107,800,500,800,649,649,800,502,649,502,501,800,502,503,649,800,501,503,800,649,503,649,649,282,107,501,500,16,800,62,500,500,502,16,105,502,503,501,500,501,512,800,502,800,503,503,504,649,501,502,649,649,500,503,800,503,56,16,501,699,501,800,500,503,800,503,501,282,501,639,16,16,500,503,503,107,500,501,311,500,501,503,16,503,800,800,500,649,649,16,913,500,501,649,501,503,502,501,282,282,503,500,503,800,500,800,501,482,501,501,500,289,282,119,792,237,500,503,502,800,233,918,502,501,503,282,800,649,649,503,800,800,282,155,502,282,502,500,282,500,282,500,649,500,16,501,503,649,649,500,502,974,649,800,16,649,800,501,501,501,502,501,502,502,502,282,359,16,501,500,649,282,500,501,649,282,503,364,412,500,282,501,435,649,725,628,500,501,800,503,800,800,299,502,800,411,500,800,503,500,974,170,800,649,502,501,800,282,282,502,503,800,502,500,282,367,500,503,800,503,502,16,282,264,649,501,16,501,500,503,502,800,502,649,501,828,501,503,107,502,501,503,800,503,501,500,503,502,282,503,501,282,500,714,800,282,282,282,502,501,503,502,501,800,800,501,623,500,500,243,501,501,649,501,501,502,800,502,282,800,500,232,501,282,282,503,502,500,800,971,800,649,502,649,503,800,800,649,672,649,649,502,28,800,501,503,501,800,16,115,282,500,357,502,649,402,503,16,501,501,500,502,16,500,383,500,649,503,501,500,699,800,502,800,501,800,501,501,991,500,503,502,282,501,503,502,502,501,500,501,649,502,800,16,800,800,649,503,649,967,800,500,845,503,503,503,501,604,502,384,504,503,500,800,501,502,501,501,503,649,107,500,282,500,282,501,649,654,649,503,800,502,502,800,649,500,649,16,503,503,649,503,649,173,800,649,800,500,282,649,501,502,800,282,501,649,800,503,607,504,501,502,649,501,503,800,282,503,649,16,395,800,502,929,16,503,649,503,501,649,800,503,500,500,503,877,282,501,502,800,503,504,649,503,800,503,502,501,502,265,800,502,649,500,501,501,341,282,740,500,500,502,282,501,502,500,503,800,649,508,502,16,800,502,500,501,502,16,501,800,800,502,405,500,107,502,502,649,502,800,206,503,800,649,649,649,649,501,282,502,649,502,500,501,800,502,486,500,503,502,649,502,282,800,16,503,649,800,503,500,500,16,503,503,503,500,649,502,500,502,649,502,107,500,433,16,501,800,282,649,800,503,501,886,649,705,503,500,649,282,16,649,649,282,503,502,500,503,800,502,502,503,997,500,377,282,501,158,800,503,501,503,503,800,282,282,649,501,501,800,503,503,500,503,103,501,16,501,500,502,502,44,103,282,503,800,172,502,501,649,502,502,501,649,800,649,303,800,503,242,502,502,503,616,502,282,537,649,501,503,501,502,282,502,501,500,246,800,500,501,504,282,503,502,503,500,500,500,800,502,741,16,16,800,800,502,504,419,503,502,502,215,502,503,502,157,501,503,502,282,503,649,16,503,503,282,282,502,502,800,800,503,500,649,502,800,477,649,502,16,502,502,502,282,282,103,800,16,282,649,282,502,649,649,16,500,501,525,502,800,501,501,501,502,500,282,649,501,282,503,503,500,649,502,503,800,282,500,649,503,503,501,500,502,596,502,800,501,282,503,503,503,800,800,500,370,930,501,503,447,502,502,800,501,500,501,649,503,649,282,282,501,800,501,404,800,649,649,503,800,800,800,500,502,500,501,500,800,501,500,502,502,502,502,502,649,649,501,649,649,500,503,501,800,800,215,16,539,500,649,282,500,800,251,500,501,501,500,500,800,800,502,649,800,800,500,649,673,649,502,800,282,649,649,238,107,503,501,282,500,282,500,641,501,800,501,501,503,649,649,572,500,502,800,282,502,500,746,800,500,500,800,282,649,282,282,800,649,500,16,897,191,501,800,16,502,502,649,501,649,800,800,649,649,705,504,649,800,524,502,649,103,503,502,171,649,503,500,800,501,16,282,864,501,800,649,500,649,649,501,649,500,500,649,649,800,500,502,500,503,501,800,663,649,800,500,502,282,500,800,501,800,500,500,103,800,282,649,500,503,504,501,649,174,502,649,649,649,503,649,501,502,649,503,800,501,502,282,502,504,503,649,500,501,16,282,282,282,800,99,527,16,800,649,649,501,503,488,503,649,107,649,282,502,649,800,800,282,282,503,502,631,502,649,649,503,502,649,282,649,703,992,501,502,16,502,501,502,649,501,794,800,503,800,500,501,503,800,78,282,476,501,649,500,503,501,503,800,282,800,649,20,502,282,501,503,251,502,501,800,649,503,504,500,649,649,800,503,500,649,282,282,500,228,501,501,532,501,500,502,502,501,182,501,649,800,500,500,16,500,503,800,16,800,316,500,500,16,502,723,502,649,503,500,503,649,282,60,800,502,16,502,503,503,649,500,649,282,649,800,282,649,800,501,501,502,800,501,500,649,502,501,649,649,501,502,500,800,800,81,649,797,800,282,501,282,517,649,503,503,500,503,500,503,501,282,16,282,800,774,503,800,800,503,901,16,282,282,649,800,649,501,503,649,800,500,500,800,500,503,16,500,503,503,800,649,282,502,711,502,800,500,500,502,501,503,502,500,503,107,800,695,502,502,742,503,503,649,501,34,503,649,500,16,501,800,800,282,800,501,670,502,619,796,502,502,649,501,355,977,282,282,502,661,503,501,671,649,500,503,649,501,800,800,649,177,649,503,282,282,500,985,282,502,503,500,502,705,503,16,770,500,282,501,502,502,502,500,800,503,649,159,503,503,579,16,800,800,429,282,502,665,649,320,501,800,502,500,501,16,500,502,503,822,800,502,649,500,649,503,649,503,282,503,100,649,649,501,649,502,503,103,484,502,800,501,502,282,500,500,502,182,501,649,504,416,500,500,649,800,947,502,282,501,649,502,800,282,794,800,503,307,503,282,502,282,504,800,800,500,649,649,502,800,500,21,503,649,649,800,657,800,649,649,649,16,500,502,649,16,502,103,502,503,502,500,468,516,462,107,649,503,501,438,649,501,501,502,103,501,16,649,502,501,503,501,500,503,502,503,501,103,282,500,800,501,503,16,16,649,649,503,501,501,501,800,503,649,800,800,501,282,800,500,800,800,502,649,16,128,503,503,800,800,502,649,649,501,503,501,649,503,502,500,649,800,669,649,923,503,800,606,358,649,500,502,800,649,503,501,502,649,500,503,502,503,503,649,500,503,649,503,649,500,800,500,282,649,503,502,583,500,800,501,500,500,16,800,413,282,800,501,500,504,504,503,400,649,649,42,504,503,649,502,500,500,282,501,503,503,503,503,214,851,503,900,503,501,800,501,500,503,800,800,502,502,500,800,501,475,800,502,660,800,878,274,649,209,800,500,282,649,649,649,282,500,800,504,821,502,705,800,501,800,500,503,103,502,501,503,501,503,500,282,712,503,501,504,103,649,649,649,503,649,502,800,282,500,44,501,800,502,502,503,501,504,282,503,800,467,131,502,503,503,800,24,501,800,503,649,502,501,500,500,609,502,501,282,503,501,649,503,649,649,801,800,502,501,501,223,16,800,501,503,668,778,40,501,503,800,500,502,502,282,502,504,500,500,501,282,800,501,800,501,282,649,649,649,649,503,504,500,502,103,500,503,282,282,500,500,503,16,503,500,800,800,501,69,502,503,649,649,502,464,996,107,800,649,503,800,501,649,649,800,368,502,500,528,649,800,501,617,503,482,503,381,503,282,16,501,501,500,16,800,500,501,649,500,649,282,800,649,500,502,500,500,16,800,500,503,800,503,649,800,837,649,800,502,503,649,503,516,502,503,800,501,537,800,500,649,502,500,579,500,800,16,800,500,524,800,282,282,649,800,800,649,649,534,649,501,501,503,501,502,503,649,500,501,800,503,800,501,282,503,339,282,457,503,16,502,500,503,800,500,16,282,503,503,503,169,501,800,800,282,501,800,649,800,500,649,502,920,172,502,500,500,502,800,649,282,492,501,800,503,363,500,500,16,501,800,502,504,503,649,800,800,800,502,501,502,501,16,501,66,286,800,502,503,278,282,503,502,503,800,500,800,501,502,502,500,16,504,501,649,501,107,800,282,501,500,800,16,649,649,502,800,503,16,501,282,503,500,16,501,800,502,500,502,504,496,502,862,800,502,502,613,800,282,502,501,500,500,649,501,649,502,502,338,248,649,500,649,649,649,501,800,500,503,282,503,501,282,503,16,800,500,500,800,683,800,800,502,649,503,649,502,500,649,500,503,503,800,502,800,649,503,16,800,501,649,501,282,604,502,800,503,501,500,500,800,282,502,800,503,503,501,503,503,800,649,503,503,503,503,502,502,500,282,797,501,649,249,502,500,503,800,107,503,658,500,16,107,649,282,856,16,503,103,649,503,649,503,502,502,862,503,718,502,800,385,800,282,649,649,501,501,500,800,503,16,282,503,800,649,503,503,282,107,103,282,139,455,800,800,649,282,503,255,502,501,442,649,503,376,723,58,502,342,502,501,500,502,113,504,107,502,800,282,501,880,501,84,282,649,245,649,502,649,821,503,501,800,800,282,503,649,501,800,504,649,395,170,500,800,503,800,322,800,501,649,482,503,501,282,169,502,649,501,500,503,16,502,502,501,504,800,501,502,504,502,429,501,504,500,649,649,649,649,502,550,502,503,503,501,395,282,649,501,972,501,503,478,576,503,500,501,581,649,503,500,645,419,501,503,800,503,502,502,649,503,800,800,501,503,718,649,649,642,282,131,502,800,800,502,800,79,502,800,361,500,502,500,800,800,503,24,503,649,800,788,560,501,500,500,501,103,649,913,800,503,501,874,501,563,502,501,649,672,503,649,500,503,503,502,500,827,502,501,649,278,500,800,501,502,503,503,282,649,501,800,500,16,501,16,501,501,501,501,502,649,502,500,503,502,282,282,502,502,500,800,282,500,503,649,503,763,282,99,16,501,500,965,800,500,503,282,851,969,282,282,103,649,282,649,503,502,500,400,901,500,649,96,503,503,649,649,649,501,502,16,649,500,500,282,282,800,116,649,579,649,503,503,800,501,503,501,500,800,503,503,500,502,892,800,891,503,500,503,800,501,649,500,503,500,649,800,502,649,649,515,503,800,500,501,332,800,800,503,501,502,282,500,502,649,501,503,649,501,502,282,656,502,649,503,800,503,800,800,500,500,243,649,502,503,500,800,550,282,282,282,500,503,108,500,501,649,502,649,500,500,198,502,180,502,502,800,282,27,500,503,503,500,502,502,649,66,502,649,500,136,502,501,502,502,800,800,501,504,504,800,502,649,649,16,501,502,649,800,503,502,649,503,502,282,665,800,215,890,503,501,800,282,502,503,500,713,282,800,503,500,503,10,6,649,800,282,904,107,649,800,502,800,500,649,649,282,682,282,282,800,502,501,962,501,983,500,649,800,850,500,282,649,503,501,500,649,282,502,59,501,503,832,500,177,800,500,501,282,501,800,500,503,800,502,642,500,649,649,503,500,500,242,282,16,501,502,501,503,282,800,502,501,502,502,503,503,500,98,16,500,348,800,7,597,501,501,800,503,800,800,500,800,282,419,500,103,502,503,649,800,649,423,800,16,502,649,503,501,800,503,500,500,705,502,651,649,501,649,282,502,501,503,649,503,649,500,501,400,500,340,282,501,495,649,502,503,800,500,649,501,504,800,502,500,649,502,501,800,732,649,500,649,503,500,501,282,800,503,800,207,500,282,503,501,16,501,502,282,501,649,649,109,649,107,500,800,649,502,500,649,206,503,504,649,800,510,500,500,649,282,282,502,800,503,9,282,216,503,966,502,500,804,649,807,502,502,501,500,649,504,502,744,649,800,800,16,503,107,800,503,503,502,503,649,649,500,500,501,282,502,502,500,501,501,649,501,649,641,800,500,800,501,649,500,649,800,503,500,649,11,800,277,500,500,502,103,501,501,868,503,282,649,500,893,649,503,500,155,986,107,500,500,88,501,503,339,800,503,503,800,649,282,503,477,503,503,282,500,503,649,226,502,503,282,503,689,502,503,500,800,575,395,649,282,800,501,649,649,502,502,649,503,500,500,504,951,800,503,649,501,800,649,501,800,501,282,282,500,500,500,500,502,503,800,500,502,170,303,500,503,503,800,500,266,107,800,502,16,503,503,501,314,800,503,503,502,526,649,502,800,72,16,81,512,417,500,800,298,800,966,282,705,502,503,359,298,113,800,502,800,800,16,500,500,649,800,501,649,282,500,16,501,503,282,282,588,502,500,503,500,63,282,16,972,649,705,606,500,503,501,500,500,649,16,500,800,649,503,16,501,503,503,503,502,100,501,501,503,500,649,800,800,503,800,800,502,502,501,503,649,501,501,800,649,502,800,800,501,381,501,502,501,649,649,500,764,503,500,653,502,502,800,503,500,800,501,500,278,282,282,845,500,500,705,16,428,500,649,649,649,82,503,501,503,800,503,503,846,503,649,500,800,800,332,501,800,501,501,649,501,501,649,16,502,800,282,503,800,503,790,913,502,500,500,649,504,649,502,502,16,502,501,502,502,501,502,4,501,504,856,503,282,16,800,501,282,800,502,503,800,504,502,618,282,182,649,649,504,500,800,503,504,815,148,649,800,649,501,501,502,649,207,503,649,500,282,502,503,103,502,994,815,501,501,503,503,800,282,282,282,16,500,503,501,728,503,501,800,500,501,500,500,649,500,649,500,502,503,500,649,16,649,800,800,501,868,504,504,220,503,649,40,503,502,500,501,5,500,800,651,16,637,282,501,188,800,16,503,649,500,649,800,501,911,649,501,282,500,501,649,662,501,649,501,844,504,500,800,229,16,503,503,502,500,502,282,649,501,800,667,16,500,503,500,500,107,500,800,282,649,501,800,282,800,282,502,500,800,503,503,649,800,649,502,800,282,503,800,282,500,800,649,503,502,107,800,500,500,482,96,16,502,500,502,714,770,16,503,502,800,800,313,309,800,107,501,649,502,502,985,501,500,649,500,649,500,501,502,649,649,503,649,502,649,282,503,800,501,500,388,800,107,503,975,649,649,503,333,500,800,107,504,500,501,503,295,800,800,800,649,502,800,132,502,501,620,503,16,500,501,213,800,502,800,503,649,649,501,503,16,500,501,502,501,503,649,999,649,800,282,16,649,800,263,500,500,800,800,649,523,502,503,282,800,800,501,503,523,800,705,502,502,500,800,503,504,800,282,123,800,361,503,103,503,800,991,282,501,502,502,503,501,501,502,115,502,501,649,895,282,13,500,649,500,503,503,500,501,776,649,292,282,800,282,78,501,503,16,502,800,649,649,649,502,500,16,649,705,501,501,503,800,649,500,502,649,282,282,502,282,500,583,503,822,649,800,807,649,488,503,649,871,500,501,502,503,503,282,500,502,680,504,800,384,503,503,503,659,649,649,502,649,649,501,503,502,500,502,124,500,500,649,500,81,500,107,501,649,800,502,649,800,649,904,649,502,16,500,282,501,503,649,501,501,800,500,897,502,502,503,649,500,501,280,282,934,179,501,501,282,800,282,500,503,649,231,649,649,502,16,502,282,504,501,84,501,649,500,800,979,503,107,501,649,504,501,800,500,502,501,531,502,502,500,500,649,503,501,502,649,502,502,501,800,16,282,502,500,500,16,500,920,800,561,326,282,502,502,503,501,501,500,502,501,503,649,502,503,649,500,800,502,103,500,503,282,500,503,501,503,16,503,502,649,500,800,503,502,800,649,649,501,501,82,503,503,649,502,800,502,503,649,800,250,764,500,501,326,282,500,503,503,501,501,649,174,800,282,249,649,711,501,407,502,649,610,16,16,503,800,649,649,800,502,501,874,649,501,16,16,16,503,500,282,756,800,800,235,501,501,503,500,800,501,649,394,800,501,649,501,649,503,800,503,799,649,485,649,503,282,223,501,501,572,501,503,501,503,500,503,282,649,503,16,503,500,503,800,501,503,500,800,649,800,501,800,503,800,502,503,649,503,649,501,501,500,501,502,502,649,733,939,800,282,800,800,500,705,800,16,500,501,501,824,800,742,500,504,717,16,16,502,502,282,852,502,732,800,248,502,282,282,43,502,503,503,649,265,504,76,501,282,800,503,282,13,352,649,502,502,800,800,671,503,503,502,501,414,282,649,800,502,16,503,503,705,649,800,500,380,502,503,502,741,502,800,501,500,503,755,500,108,800,502,502,282,491,649,503,502,649,500,649,501,502,500,800,503,107,503,282,107,501,84,503,192,800,500,16,800,282,501,688,502,503,503,649,800,649,649,500,572,800,501,504,501,649,500,649,282,649,503,649,501,649,800,16,504,504,282,16,963,115,500,800,503,500,502,503,800,649,503,502,282,800,649,16,500,502,800,502,800,800,282,465,501,107,649,16,501,252,889,502,282,282,503,800,384,649,800,649,500,800,503,282,649,500,501,649,503,649,98,800,649,502,500,800,501,649,501,649,649,501,649,501,502,501,649,500,503,282,502,500,16,282,501,502,649,502,826,800,502,282,500,500,503,649,583,502,649,501,500,986,705,503,282,649,503,502,800,503,501,502,649,500,500,800,503,649,800,800,501,677,503,23,502,501,503,800,500,16,503,500,503,649,500,503,867,771,800,503,503,502,501,500,800,500,913,800,913,500,503,800,17,72,800,800,501,649,649,649,502,800,503,649,501,362,584,500,503,502,649,502,500,348,501,649,764,501,503,282,639,503,501,502,502,481,800,440,501,503,800,800,800,649,724,503,503,649,503,500,800,649,16,502,502,501,500,504,503,649,503,502,503,649,649,502,501,740,315,649,835,500,500,500,649,282,503,500,503,501,502,649,16,649,800,502,649,282,682,501,753,250,502,649,800,16,783,800,117,500,649,103,16,649,800,502,502,92,800,502,282,649,500,501,501,500,501,501,649,503,649,120,956,501,502,897,649,747,649,649,503,325,502,503,503,16,502,282,501,501,649,501,503,503,800,282,649,501,503,282,625,502,876,502,16,16,501,891,282,501,501,282,503,502,502,1000,649,800,500,503,800,649,502,649,800,800,824,649,501,502,800,502,282,16,800,282,649,282,649,500,501,501,282,649,501,107,503,800,649,282,649,500,800,502,503,502,502,502,649,500,800,282,800,504,800,502,3,800,16,800,503,501,500,282,503,954,500,500,503,649,504,503,503,501,282,390,501,504,500,649,104,282,800,800,502,649,282,80,649,727,800,501,16,582,649,103,503,800,502,16,501,649,503,800,501,649,502,500,501,649,282,502,500,849,16,500,282,293,500,800,649,282,501,800,501,800,503,503,501,649,501,501,500,282,504,548,207,705,502,501,649,854,500,649,503,705,282,502,500,501,500,800,800,531,800,500,649,265,500,501,503,500,783,299,282,282,502,503,282,504,502,705,503,500,502,503,500,800,16,500,501,501,256,800,265,282,500,502,282,502,503,503,649,649,800,502,500,725,500,800,500,800,800,503,502,502,254,502,500,971,176,649,16,800,500,800,800,500,500,282,854,503,500,510,800,800,649,500,503,502,649,502,500,500,502,503,649,718,16,16,649,282,500,282,494,800,800,800,392,800,900,503,501,649,282,503,503,502,800,503,503,500,502,503,500,502,501,500,501,16,502,503,500,503,500,649,360,503,501,503,500,502,282,65,16,809,501,501,500,649,800,649,500,800,503,800,800,800,500,501,503,800,502,282,501,216,282,500,649,649,500,800,649,16,106,16,503,649,502,800,800,649,500,649,503,994,649,665,502,800,649,773,503,649,500,800,800,501,16,503,500,649,649,103,166,502,500,649,502,501,500,282,282,500,649,107,16,16,649,282,800,503,502,800,800,501,107,241,501,800,622,800,800,502,502,282,656,800,502,327,484,502,502,503,649,649,500,637,800,500,926,500,500,503,501,500,501,503,649,16,503,500,649,502,649,502,501,500,503,503,282,800,538,502,800,503,502,500,649,800,800,501,969,503,16,282,859,500,800,500,501,503,503,819,500,502,502,500,503,182,502,282,500,501,282,649,500,44,500,107,503,502,282,800,502,649,649,503,282,502,502,501,503,503,501,800,503,502,501,649,282,884,502,649,503,500,503,500,502,502,800,438,649,501,501,503,845,502,503,503,649,212,504,509,493,501,800,649,282,501,503,503,500,502,649,500,501,649,500,103,502,503,500,107,504,501,294,503,503,282,502,503,172,500,501,800,500,501,863,800,800,501,500,649,800,500,649,800,502,909,50,502,502,503,503,502,503,282,182,282,649,500,243,500,649,502,349,502,501,500,800,800,500,501,649,649,800,169,800,549,649,500,503,501,503,16,501,800,800,500,649,500,500,649,665,335,649,502,282,502,145,949,16,502,502,502,345,503,503,501,649,501,649,502,500,649,800,16,414,287,502,502,503,929,501,503,649,502,503,649,378,649,500,649,501,282,282,800,558,501,282,502,500,113,500,503,504,800,500,434,502,724,500,649,501,621,502,503,500,502,503,503,503,107,800,501,503,502,501,800,500,502,502,501,282,503,649,503,503,503,501,503,500,800,800,502,77,649,503,800,501,503,501,501,500,501,214,501,504,500,705,500,649,352,649,501,503,800,282,500,501,800,922,649,800,501,800,500,800,503,649,853,800,502,649,98,282,649,903,800,42,800,800,501,502,500,500,649,800,502,649,649,500,649,282,800,649,282,649,500,800,502,649,282,800,649,501,649,800,282,649,800,800,502,500,800,503,503,649,502,502,421,649,504,568,892,502,503,501,500,503,649,16,502,649,800,487,502,800,139,125,503,503,503,649,502,500,502,649,501,649,16,282,282,503,502,501,282,800,503,800,800,321,800,501,649,515,503,649,502,502,503,503,500,500,501,800,649,22,501,125,800,800,503,649,502,282,501,503,502,800,503,107,282,502,501,696,282,500,649,502,503,501,502,800,615,282,501,501,503,649,282,503,502,503,649,800,800,800,282,500,502,504,490,800,502,501,503,503,502,500,16,800,429,282,501,501,800,503,503,503,501,503,501,502,800,503,649,649,282,649,504,16,800,476,282,502,634,649,37,501,503,503,500,501,503,282,503,503,282,502,800,103,585,501,501,501,800,649,503,800,800,502,800,502,502,500,501,503,16,649,502,800,500,800,649,649,75,503,500,649,501,107,831,502,502,649,586,501,800,501,290,500,651,502,503,282,354,800,16,649,502,800,503,502,649,649,502,800,500,649,649,649,502,649,721,16,500,721,282,500,502,500,503,501,649,800,503,503,282,502,503,503,16,309,282,649,800,501,94,503,501,705,917,502,500,503,800,416,18,649,501,500,501,962,16,500,503,501,649,501,500,649,501,502,800,337,501,863,502,800,502,649,502,500,501,500,649,54,772,649,503,503,107,649,248,500,649,503,800,282,282,649,501,282,501,500,649,649,282,649,188,503,501,954,704,501,800,649,649,501,16,800,649,501,501,503,503,501,504,501,316,502,502,702,500,649,503,503,649,649,501,731,501,503,502,500,500,501,103,539,503,503,649,501,500,800,649,500,282,800,500,649,282,193,503,282,809,282,162,16,107,649,800,649,790,649,800,502,626,501,503,649,649,103,500,561,16,502,503,502,640,500,501,500,649,612,500,501,282,649,501,649,800,282,504,800,502,16,800,500,503,800,503,501,503,800,503,500,282,502,502,504,800,503,612,502,503,649,80,800,504,482,33,649,503,502,800,500,500,502,800,503,503,501,347,501,22,503,800,649,503,800,649,800,183,482,649,282,649,502,800,500,501,503,500,282,800,279,800,503,649,16,500,16,501,649,649,800,500,649,503,800,768,500,649,501,649,282,502,501,103,501,705,654,501,282,816,503,503,649,501,501,503,502,800,649,502,503,800,503,501,501,282,503,503,501,503,503,502,501,502,503,500,502,501,800,757,501,649,917,501,282,502,503,503,503,748,16,838,282,800,513,500,649,106,500,249,841,503,282,800,78,503,501,800,503,502,501,649,800,500,51,502,504,800,502,282,500,500,500,800,649,142,503,649,800,800,649,503,500,503,502,649,800,500,503,503,107,818,649,841,500,500,800,500,714,503,501,800,501,282,500,282,282,501,16,795,503,282,649,503,500,176,503,500,501,501,503,16,500,503,649,503,503,800,500,501,649,148,503,800,503,502,649,800,800,282,502,503,800,503,107,649,504,502,503,504,800,503,454,764,800,503,649,649,649,503,380,865,503,649,503,501,800,649,503,500,800,501,503,501,649,16,500,502,503,502,500,282,800,501,501,501,500,649,783,502,800,503,502,649,503,501,500,282,501,503,649,800,500,503,500,649,800,502,501,500,649,503,503,649,503,501,502,800,544,414,500,800,503,800,502,502,500,800,503,501,103,503,800,502,649,503,649,500,503,503,875,503,503,800,649,107,649,501,503,282,501,778,800,16,502,503,800,501,502,649,503,800,800,500,500,282,649,503,800,503,500,503,501,408,898,503,501,500,649,800,800,800,649,649,501,500,503,282,502,502,500,502,501,800,735,503,800,500,503,500,800,502,501,423,502,502,924,503,502,502,501,800,800,649,649,503,107,107,282,649,503,800,502,649,738,85,503,502,504,649,500,77,800,502,500,500,800,503,800,282,502,501,500,649,502,502,503,800,800,282,503,503,503,503,282,800,503,649,502,282,649,800,504,103,501,800,800,573,649,501,649,502,103,500,16,800,649,503,503,502,502,282,501,501,649,800,500,800,649,471,503,503,501,500,282,503,503,500,919,282,500,502,282,800,501,800,503,503,793,800,800,503,649,253,500,500,500,649,501,695,501,502,500,502,500,649,501,985,578,16,800,800,503,500,800,649,800,503,800,502,502,502,800,453,504,800,649,649,501,588,503,282,649,501,16,800,800,503,649,800,649,282,502,16,502,501,800,649,570,502,501,502,503,503,503,282,800,800,282,800,500,502,502,500,800,502,503,501,501,800,282,501,503,800,502,16,500,444,800,649,502,800,501,12,136,800,282,501,503,649,503,935,501,502,282,282,282,500,500,501,879,800,503,501,501,500,502,502,500,501,500,800,500,503,501,503,502,649,800,503,800,649,800,16,504,502,502,502,504,501,649,800,649,800,55,107,649,503,742,66,501,282,502,502,139,649,649,16,502,503,16,800,500,649,503,649,500,649,649,503,503,500,16,282,500,503,500,502,649,928,500,313,282,800,503,500,500,800,770,800,140,16,503,501,649,16,800,800,107,501,800,16,800,501,800,503,503,649,502,37,800,500,502,649,500,503,501,16,502,501,502,503,502,503,503,503,335,502,502,649,502,649,500,649,107,500,500,28,500,500,501,2,800,501,501,502,282,503,501,502,501,500,800,800,649,503,503,502,503,501,800,800,800,16,502,800,503,501,649,502,895,501,649,501,800,501,501,649,909,282,649,790,16,502,821,282,414,649,503,500,500,500,800,974,503,800,649,800,649,501,204,500,503,501,503,910,501,649,20,501,800,503,503,501,16,100,502,649,500,500,800,502,823,502,649,634,254,649,502,500,282,500,502,800,83,649,503,649,501,502,503,800,649,502,800,800,501,504,503,2,800,500,649,800,500,501,500,649,502,502,800,282,502,800,649,282,649,501,16,282,501,705,722,501,500,500,500,649,16,684,504,800,502,649,800,501,115,107,502,500,502,282,656,800,282,502,191,504,501,500,500,502,501,282,502,778,501,561,502,503,501,503,800,503,839,503,502,502,503,500,500,649,649,500,649,800,503,351,800,523,800,503,800,631,501,503,282,800,502,503,501,502,282,649,500,502,442,500,649,502,501,502,501,800,500,649,16,800,16,501,503,649,649,800,592,503,500,800,118,800,16,800,500,501,502,482,800,649,800,649,501,649,502,502,502,800,502,800,800,501,700,282,503,500,649,890,282,502,502,503,501,502,979,503,649,500,501,500,503,501,503,500,800,501,503,501,501,800,500,500,503,282,500,16,501,16,282,282,448,282,503,502,649,503,501,502,180,282,675,500,800,503,504,683,895,501,800,729,800,282,501,282,500,500,649,800,800,502,501,501,503,502,500,800,45,282,504,503,382,800,500,502,918,502,504,807,16,649,503,800,292,320,501,30,502,236,282,502,501,503,502,502,282,282,16,501,502,501,502,649,500,649,282,503,755,503,500,501,717,502,857,500,91,800,501,963,501,503,500,649,800,501,500,282,500,503,413,16,502,649,800,649,800,649,500,504,649,649,800,800,236,500,503,502,16,649,502,500,503,649,503,16,6,800,260,282,282,503,501,800,649,500,282,502,503,502,500,282,649,800,881,502,800,800,800,800,502,800,649,107,649,199,649,500,501,282,501,884,501,675,800,800,500,282,503,810,501,800,501,528,203,800,503,500,282,501,501,502,16,649,800,500,800,503,501,500,649,800,922,282,500,800,502,800,500,502,432,502,501,638,142,800,503,47,502,282,212,501,649,500,800,800,502,500,649,503,16,502,649,750,800,649,485,800,649,800,501,503,502,500,502,501,649,282,282,502,649,503,274,503,501,800,649,649,503,501,501,501,500,376,502,501,649,501,800,501,500,503,866,42,800,649,503,501,982,501,500,800,800,501,502,649,282,282,502,503,503,500,502,16,649,503,504,282,16,500,500,282,502,504,16,282,500,649,649,649,282,649,503,502,501,504,282,501,503,500,502,502,504,649,500,282,500,503,500,800,649,501,282,313,282,504,282,501,503,502,649,800,649,503,502,649,270,500,649,504,501,800,800,502,580,800,501,500,16,500,800,500,502,705,649,502,500,649,500,500,649,800,503,649,500,800,800,500,189,502,503,500,169,800,649,503,502,503,800,649,649,680,503,62,500,282,501,726,502,502,800,800,502,501,107,649,699,502,503,649,282,503,503,503,800,503,16,800,148,282,501,502,500,721,500,503,800,197,480,501,282,500,678,649,728,503,502,649,649,800,500,501,33,503,687,500,282,502,282,501,501,502,500,501,800,500,800,480,800,649,501,991,800,282,503,503,800,501,500,800,649,166,502,649,502,257,500,649,501,70,502,501,502,503,501,474,502,282,800,649,800,503,501,503,502,503,800,502,649,694,501,503,649,501,504,502,503,503,800,989,503,649,64,649,649,503,501,282,501,568,502,502,500,362,500,800,282,300,501,800,649,429,282,188,503,503,107,799,649,500,824,282,103,282,500,500,500,566,503,103,501,504,500,501,502,503,649,16,800,800,501,800,649,800,823,282,503,503,282,501,16,983,503,503,800,800,107,800,501,502,800,501,503,282,503,500,236,800,674,501,800,503,828,503,649,502,282,840,800,649,16,501,649,800,649,501,282,502,504,503,501,16,501,501,503,282,800,500,649,503,501,281,800,503,649,107,649,282,800,649,649,501,10,800,500,493,546,502,649,502,649,649,500,501,501,502,503,503,649,649,543,800,500,503,501,500,488,502,503,649,282,500,501,501,503,500,502,503,500,649,500,503,988,282,16,501,282,501,503,800,649,705,800,800,501,503,500,282,502,800,790,649,503,282,800,649,503,233,649,501,501,800,503,178,416,787,800,984,503,649,501,500,800,744,503,503,501,500,800,500,649,800,501,976,503,54,649,503,503,316,16,800,16,502,502,503,282,501,608,853,501,502,502,504,500,862,282,800,503,800,282,502,501,649,815,501,503,800,502,503,800,282,503,800,503,502,915,500,503,501,834,282,649,501,504,649,282,103,649,649,649,503,107,502,501,16,120,503,649,501,502,502,800,501,800,800,569,800,107,16,500,900,649,282,502,820,133,500,500,501,501,800,500,501,649,198,502,649,501,502,501,504,502,500,502,503,503,503,503,503,282,504,500,649,503,16,282,649,282,501,649,503,503,564,282,500,503,501,153,500,800,283,800,502,435,602,503,502,502,800,500,705,501,501,500,800,502,500,503,649,503,503,282,528,649,500,501,800,282,503,500,500,502,16,857,503,503,674,282,502,800,458,800,503,504,800,502,503,502,681,282,800,800,503,504,500,649,501,649,502,501,649,501,800,502,500,800,502,500,649,480,501,649,254,649,503,500,800,189,800,501,282,503,502,501,502,503,504,107,503,500,800,106,263,16,502,500,649,503,649,502,500,502,501,812,501,321,282,16,531,649,649,649,282,124,501,502,614,919,502,503,501,501,107,282,649,800,502,500,502,649,500,500,649,500,282,501,453,503,501,649,503,649,501,503,649,502,649,504,501,929,842,501,649,806,282,503,800,800,282,502,500,502,503,103,501,282,504,502,501,282,500,500,501,818,282,800,500,282,604,739,502,502,500,500,550,503,502,502,501,501,800,649,800,649,630,501,502,503,54,800,503,501,503,800,503,500,800,500,728,503,503,500,649,504,649,543,501,125,800,501,501,502,502,501,800,16,501,800,649,502,502,501,278,800,501,501,583,361,800,649,529,346,502,500,503,282,649,503,800,649,649,503,535,503,649,705,502,225,649,503,800,634,649,800,475,800,502,501,215,49,649,649,107,502,800,500,282,500,744,282,501,502,502,931,501,502,679,705,501,503,500,502,282,500,500,649,16,500,800,250,216,641,107,282,649,282,49,800,501,504,501,726,502,501,649,649,649,502,16,502,155,501,800,502,501,448,699,500,502,501,800,800,282,503,282,504,800,502,502,34,501,288,282,16,501,799,108,503,772,501,649,649,501,501,500,282,16,502,800,500,503,307,502,282,501,503,500,500,502,649,503,16,500,503,208,501,503,502,502,502,800,649,502,16,282,174,502,649,649,649,800,800,649,649,500,649,500,800,408,649,649,503,504,949,503,501,444,502,502,16,649,800,500,416,503,502,502,500,500,800,503,282,500,503,503,800,500,501,501,500,503,500,502,729,500,500,282,649,502,502,430,649,800,502,501,800,502,501,503,649,649,502,503,649,649,502,128,649,800,502,501,297,503,649,218,500,502,16,84,282,16,503,502,500,800,500,16,800,503,500,649,649,503,500,282,502,501,282,649,928,649,649,502,864,649,649,649,649,503,501,800,710,579,502,503,800,500,500,807,14,502,947,800,500,501,502,503,282,502,503,501,502,425,502,16,500,649,103,500,649,282,800,800,649,155,502,649,946,502,503,502,282,500,502,649,800,501,649,800,800,502,120,503,282,800,502,502,503,833,500,16,501,500,649,800,800,500,500,501,649,214,502,502,282,502,649,500,503,896,503,502,501,503,282,16,205,504,501,502,500,649,800,215,502,482,616,501,501,500,504,86,519,502,899,502,503,800,649,502,500,502,221,500,500,16,501,501,501,501,649,502,500,500,800,649,800,502,601,500,16,500,500,503,504,649,800,649,649,501,16,44,649,502,649,503,502,503,501,503,16,501,500,503,503,500,649,694,800,501,800,501,649,800,503,282,500,500,500,503,649,800,649,503,500,800,501,503,800,800,501,503,649,16,282,503,649,649,282,800,501,800,503,502,649,502,546,501,16,800,649,800,800,502,628,245,282,501,500,502,800,502,649,800,503,649,502,503,649,501,649,188,649,800,501,503,282,800,824,503,501,282,503,649,501,501,800,503,500,501,501,649,502,502,501,502,501,500,501,800,282,81,800,649,649,891,501,500,649,943,800,501,168,503,504,649,649,501,502,500,503,103,500,501,649,500,502,649,502,502,800,503,282,503,16,500,197,501,800,501,500,500,502,502,501,502,807,16,500,800,649,501,500,649,502,800,501,500,131,500,16,800,800,500,557,502,500,740,800,629,676,649,649,649,936,282,503,649,501,800,649,502,800,649,502,649,501,502,503,649,500,500,502,800,16,649,500,800,901,369,500,503,500,800,800,800,500,500,501,502,500,502,501,503,503,500,649,800,683,282,501,649,501,649,103,282,170,282,503,502,290,503,103,504,502,503,800,800,500,282,213,503,500,500,282,502,503,800,502,649,282,800,800,800,500,503,800,800,16,830,503,800,501,404,282,800,649,503,503,649,501,649,800,502,500,503,925,812,503,800,500,501,501,282,649,501,282,649,502,503,503,501,649,501,282,502,292,649,500,503,282,503,503,501,502,503,502,501,329,282,500,301,337,500,649,649,649,800,503,501,649,500,649,503,363,500,501,800,501,500,500,967,500,502,649,501,282,502,504,73,649,800,500,500,502,649,500,800,501,501,649,282,502,328,502,502,587,649,800,500,800,868,16,597,500,504,107,649,16,800,649,649,503,500,800,502,504,16,501,500,502,500,502,501,282,500,503,182,282,282,800,705,502,800,543,649,500,649,500,649,282,649,503,649,633,500,800,502,500,500,800,649,502,502,649,649,800,649,503,503,503,800,800,107,107,649,502,649,503,503,649,176,501,504,503,282,870,807,800,503,500,800,500,500,503,800,500,503,502,503,957,649,501,649,649,103,800,800,92,502,502,577,820,392,649,500,649,649,500,395,649,800,502,114,800,107,282,503,334,501,162,501,501,503,649,503,649,501,800,613,502,501,649,501,984,504,793,503,282,504,800,649,282,501,503,501,500,800,503,502,563,503,649,282,649,800,501,649,649,649,502,503,501,482,502,501,649,800,800,800,502,503,323,800,983,501,501,1,502,800,503,503,800,800,800,502,935,800,868,500,736,16,16,502,107,800,649,288,500,807,800,649,282,500,16,500,503,502,800,501,800,502,503,800,649,800,282,282,501,800,282,649,503,16,500,282,649,503,282,500,13,500,800,500,16,649,502,282,800,503,501,800,800,501,282,971,500,502,503,649,501,649,500,501,282,501,503,501,176,503,502,503,202,800,51,503,800,322,502,649,800,649,501,501,568,500,649,649,502,282,649,503,96,16,649,503,502,503,501,649,282,503,800,282,500,500,649,282,649,501,503,500,501,503,501,502,800,800,800,501,649,649,500,503,582,502,500,285,649,329,125,649,503,503,503,549,504,500,649,281,502,500,500,800,16,502,500,503,500,502,500,504,503,501,500,649,500,634,504,503,107,586,103,504,545,800,504,503,501,800,500,503,800,705,502,502,705,501,800,800,502,500,500,800,503,737,649,606,501,649,649,503,502,503,500,500,503,500,502,501,800,503,649,955,16,649,467,500,800,282,800,503,800,503,503,500,649,178,410,503,195,800,500,503,572,918,502,503,503,503,395,800,800,14,501,503,282,68,502,649,500,282,800,800,500,25,649,649,500,502,502,800,800,502,503,649,809,649,800,500,800,649,649,800,503,502,649,500,800,500,502,16,500,503,800,503,502,501,502,502,800,16,800,502,502,451,282,346,501,501,800,282,503,800,103,503,503,501,501,752,800,800,649,282,500,502,502,500,503,502,503,800,501,809,649,649,503,502,831,502,807,500,503,500,896,500,649,800,282,500,649,649,282,500,500,107,107,649,500,649,800,501,649,500,649,500,649,503,800,502,800,408,501,958,500,502,282,800,502,649,502,503,800,502,500,503,502,500,500,282,500,800,501,2,16,800,500,800,503,500,282,502,800,800,649,504,478,500,502,501,503,687,501,475,649,500,501,800,501,504,500,800,65,282,501,282,500,800,500,800,800,502,649,500,282,139,339,501,501,502,503,501,500,500,502,501,674,282,649,268,800,649,502,502,282,649,649,705,501,468,500,16,502,501,501,501,800,378,500,649,502,800,502,503,649,503,501,649,500,500,800,500,282,423,502,500,504,501,501,705,800,165,800,503,232,502,501,503,16,649,504,649,501,501,800,649,502,800,282,503,503,500,800,649,103,800,502,500,500,958,252,501,376,282,503,649,649,503,502,502,838,503,500,501,501,502,800,500,800,501,501,649,649,503,502,502,501,502,282,503,503,800,503,502,502,649,500,501,282,649,649,649,502,649,800,501,501,503,502,501,504,282,800,631,800,282,500,800,500,502,16,500,502,502,500,503,800,502,503,500,800,800,649,649,503,800,503,502,800,282,500,500,854,649,282,800,500,649,502,107,396,503,646,500,16,800,800,502,800,649,501,67,800,800,661,501,204,103,800,970,395,428,501,500,649,501,501,800,501,482,800,318,504,504,800,503,503,649,503,649,649,503,502,503,503,649,571,649,627,502,502,503,500,501,500,500,559,282,500,649,503,800,875,501,649,800,503,501,501,282,649,501,649,502,118,502,844,501,386,501,502,503,649,800,500,502,502,800,806,502,503,800,234,500,800,501,327,500,649,500,649,502,502,501,502,16,501,539,282,503,501,649,503,649,500,502,502,502,649,503,502,800,503,800,501,800,502,221,500,502,502,649,501,800,501,800,501,807,16,282,500,231,502,501,503,503,502,502,502,500,708,649,504,501,501,500,800,500,501,918,532,282,227,600,16,800,649,383,310,500,502,500,282,503,282,68,735,502,649,502,502,405,649,501,501,282,502,503,501,503,502,59,666,430,500,649,282,502,649,649,500,500,502,500,282,800,500,16,503,649,503,135,500,16,213,800,500,16,800,755,502,800,500,500,502,843,800,500,500,649,649,500,500,649,503,282,502,503,939,107,500,501,503,501,503,649,502,501,649,800,753,501,107,501,800,800,851,500,502,500,649,107,73,501,501,800,649,16,800,503,500,107,502,705,503,502,500,501,649,113,800,649,503,501,122,502,503,502,503,500,501,500,282,503,500,800,503,859,501,649,649,500,500,16,500,2,500,501,800,76,16,578,674,502,800,500,649,800,649,649,282,501,16,502,259,16,503,503,800,800,726,800,649,501,502,503,16,282,282,282,800,800,501,16,502,502,501,642,503,500,243,990,504,959,503,500,500,282,501,282,502,282,502,500,649,501,608,503,501,502,500,502,649,800,282,501,503,504,501,191,500,500,503,568,500,649,800,503,502,649,800,995,43,503,800,500,502,501,500,502,931,130,649,501,503,852,649,503,502,500,30,800,727,501,927,500,649,604,501,822,800,503,705,501,501,649,500,649,579,395,502,800,503,800,500,503,503,221,649,503,501,501,800,500,502,501,504,800,620,501,502,84,503,800,888,800,503,282,16,501,282,502,800,282,649,16,500,649,500,800,804,800,876,282,879,282,282,649,500,776,502,282,503,649,649,16,502,282,502,800,649,800,649,649,502,800,502,502,282,375,501,501,800,503,797,500,502,800,800,503,500,503,502,500,503,700,501,876,500,800,453,649,500,500,800,503,282,282,503,503,500,800,503,502,500,716,501,503,502,503,282,282,502,500,503,649,800,16,649,501,502,501,502,649,386,800,282,503,800,502,800,500,107,262,863,503,503,311,800,780,800,501,500,503,503,502,649,501,822,502,501,502,500,649,502,500,649,649,502,939,649,502,800,649,500,502,800,54,502,722,649,502,503,503,500,800,649,501,502,649,500,503,500,649,501,501,649,800,500,500,211,502,649,501,282,501,501,502,501,19,282,896,502,503,800,501,501,501,649,649,501,500,282,649,503,800,501,649,501,503,360,282,282,16,837,800,500,800,649,16,649,16,501,705,500,513,16,503,501,800,800,282,649,502,649,579,649,502,649,500,649,649,282,532,503,100,502,503,282,500,16,500,800,502,649,502,503,800,767,649,800,504,490,502,503,649,16,502,501,800,800,502,649,649,846,502,649,16,800,501,649,160,189,649,500,705,800,501,649,502,502,500,501,800,503,503,649,501,503,282,502,649,500,501,800,503,501,500,85,500,501,502,503,282,649,500,800,282,503,502,800,501,500,646,282,800,800,501,800,649,500,649,800,502,503,501,502,502,800,500,3,282,800,649,502,501,479,503,800,800,649,504,649,502,501,502,800,503,800,502,501,500,800,16,502,649,503,503,502,502,649,502,282,406,502,675,500,16,282,502,800,649,100,503,503,649,500,800,649,831,282,502,504,501,503,800,502,502,649,500,503,503,925,783,800,501,500,500,16,503,501,800,500,800,502,246,649,649,503,500,800,800,554,800,502,503,500,500,620,649,502,800,282,502,649,649,66,649,649,649,800,500,800,500,501,800,500,318,16,503,501,649,500,502,879,503,502,502,800,500,800,502,649,502,503,649,800,502,503,502,502,500,502,500,649,503,501,503,501,649,501,282,649,503,502,501,500,882,501,649,504,500,649,53,63,16,501,282,562,500,500,502,501,649,500,503,282,16,502,500,504,503,503,500,502,504,500,503,282,500,502,800,503,649,500,501,649,501,800,502,503,500,282,503,500,649,502,500,296,504,120,501,800,501,800,502,649,503,649,504,501,282,503,800,504,503,503,16,649,504,502,502,800,800,952,649,500,501,503,282,210,502,503,502,503,501,502,502,649,500,471,503,502,500,502,502,840,649,500,800,800,686,205,565,500,800,649,311,649,502,800,800,649,501,501,503,649,649,264,500,501,800,800,501,503,649,800,344,501,410,402,500,503,502,501,107,501,649,501,649,649,911,503,282,800,501,636,649,800,649,501,503,649,649,450,10,2,649,863,800,503,678,800,503,800,800,649,500,500,16,800,705,501,502,800,501,800,501,649,16,282,16,649,282,502,99,504,503,503,16,958,202,282,500,282,16,800,501,649,282,282,500,457,501,649,503,800,800,800,739,19,503,800,649,287,649,282,134,800,649,501,501,800,585,502,58,503,502,800,800,800,282,502,282,501,502,502,943,503,649,500,282,503,500,503,800,649,503,800,500,503,500,503,807,501,500,500,282,502,649,500,649,503,554,502,500,649,972,282,501,502,16,857,800,282,649,501,501,503,569,502,502,500,501,800,649,502,603,893,501,282,500,649,282,503,800,282,500,943,500,501,501,800,948,570,501,282,500,18,500,141,502,260,502,649,674,502,500,500,282,501,926,649,800,500,503,504,800,501,501,504,500,525,502,16,501,649,501,633,500,282,107,649,800,246,282,649,649,800,500,503,800,649,502,800,861,502,282,502,800,503,502,800,649,107,649,503,282,501,501,649,501,800,503,500,501,501,711,502,512,344,502,800,614,503,800,502,16,504,649,502,713,800,316,500,503,502,503,800,503,16,282,502,501,16,503,800,282,500,649,503,659,318,649,500,800,500,282,800,649,503,502,501,500,649,503,500,503,649,649,501,18,502,501,800,504,502,500,502,502,222,649,800,94,503,800,503,16,500,800,649,800,800,503,500,503,500,800,501,502,502,500,705,800,502,800,502,500,800,202,503,502,500,501,500,501,649,500,502,800,649,649,501,502,501,503,502,649,649,649,500,800,16,649,501,502,502,705,649,500,282,501,385,502,649,500,501,500,649,649,516,800,187,800,500,500,282,649,502,502,800,649,450,649,500,800,503,500,649,986,503,503,503,500,501,500,800,282,503,500,501,502,502,500,863,502,501,500,282,502,503,500,500,500,800,800,480,649,501,649,172,649,649,500,500,800,502,649,282,502,374,501,800,502,503,649,502,500,314,649,501,724,502,500,310,502,282,800,282,16,501,501,649,503,503,503,649,503,649,86,800,503,170,649,649,649,501,478,273,503,500,503,501,501,397,366,649,503,502,800,800,834,800,800,877,800,520,500,596,800,502,500,282,500,649,912,501,501,503,501,500,800,503,502,501,142,501,502,500,503,282,800,502,107,503,501,282,502,500,501,501,649,503,502,649,649,385,503,500,501,501,500,16,649,502,501,502,649,500,503,649,503,800,649,649,649,421,500,501,501,501,502,980,649,501,501,500,96,649,424,800,292,282,502,649,503,800,800,501,16,800,800,501,649,503,500,649,649,502,800,502,128,649,282,501,800,631,500,329,649,500,500,503,649,103,502,502,649,502,800,649,800,649,649,502,502,503,800,593,502,388,800,649,146,282,503,962,503,92,800,503,594,282,649,602,282,501,800,500,503,503,649,800,503,649,848,501,501,502,450,218,580,282,43,649,502,800,649,503,500,503,501,500,502,800,501,500,500,502,500,501,503,282,500,501,16,502,500,503,107,16,251,800,282,486,503,501,501,282,501,80,500,649,500,503,649,500,503,500,159,502,115,500,16,500,500,444,800,315,501,501,501,282,500,503,504,500,503,649,500,649,500,649,503,649,364,503,503,501,502,800,103,501,503,800,502,130,500,501,800,800,649,989,500,502,501,800,124,649,649,503,502,501,503,503,500,16,800,502,649,500,503,501,177,502,503,501,501,649,16,961,649,996,800,504,649,800,501,767,500,282,502,501,503,800,504,177,144,649,518,503,500,282,500,240,800,107,282,649,502,800,503,649,502,500,501,501,501,502,800,502,500,16,503,649,726,503,501,501,503,207,750,944,800,503,649,649,649,503,502,282,502,500,639,502,760,800,501,887,649,800,503,503,397,282,502,800,107,282,501,501,649,502,282,502,501,500,500,503,940,282,501,501,504,503,282,502,502,502,503,500,504,502,503,649,502,697,557,649,503,501,294,501,800,282,5,502,501,96,649,503,649,649,649,800,503,502,503,285,800,282,374,649,93,502,503,330,502,500,503,502,282,107,503,808,501,649,800,503,736,500,500,800,282,800,500,800,501,649,503,502,800,503,503,649,502,501,500,500,414,649,649,501,16,16,500,501,393,800,937,502,500,189,800,503,649,502,501,502,649,502,649,282,503,800,503,502,649,502,800,800,66,501,503,501,502,503,282,649,503,501,500,501,649,234,649,503,500,500,800,501,503,912,800,649,800,501,503,503,502,612,503,502,501,501,800,501,16,800,649,237,501,282,502,500,800,502,1000,649,16,649,500,501,503,503,282,282,500,800,501,503,500,649,649,500,81,502,503,800,282,282,800,504,807,503,828,16,800,40,649,16,538,800,500,502,500,282,501,721,503,716,503,503,501,282,282,503,649,800,800,502,800,960,503,640,876,30,767,502,16,16,649,500,502,282,501,502,503,501,501,503,16,321,504,501,501,800,649,502,501,503,649,440,503,500,501,787,500,649,282,500,503,637,500,500,16,800,649,503,503,502,16,649,500,500,800,500,503,500,500,503,501,939,177,503,16,502,500,504,800,502,503,500,502,16,649,502,503,649,649,502,16,503,282,502,500,800,282,649,503,501,502,282,500,502,216,500,502,502,649,800,971,282,501,649,282,282,504,502,847,594,800,502,501,501,503,941,503,16,800,501,502,501,649,500,501,16,649,501,282,503,16,501,800,502,649,501,502,502,500,16,649,649,282,800,16,501,502,16,282,500,800,501,581,502,649,503,282,649,262,282,500,452,800,503,649,800,800,649,500,800,800,502,342,649,501,282,800,282,503,800,800,503,500,502,500,502,500,501,649,282,800,164,502,649,503,800,800,673,649,55,800,602,386,665,500,800,502,80,800,800,649,800,503,502,603,800,649,503,501,800,130,776,800,500,336,649,501,649,103,103,502,503,485,502,501,649,649,501,16,827,500,502,503,818,800,800,800,282,500,502,459,282,502,504,649,503,649,800,502,16,500,540,504,503,649,705,503,16,800,691,800,649,503,649,501,800,500,649,502,502,282,649,649,282,649,500,649,282,500,649,893,649,800,800,649,501,500,800,800,502,500,282,649,16,649,502,501,800,503,501,503,501,501,649,800,503,502,800,800,800,456,502,500,314,649,503,800,804,500,649,649,800,502,988,800,503,418,223,500,16,103,502,500,503,503,649,500,800,649,502,649,259,500,800,649,282,502,680,16,502,800,503,500,500,503,501,107,502,502,649,800,703,502,502,502,649,800,502,412,501,877,818,282,800,501,800,503,500,649,502,500,649,503,649,501,502,500,279,282,649,501,649,800,500,907,500,503,16,504,501,800,800,705,800,282,503,503,630,800,502,502,503,500,503,649,503,502,502,649,503,649,503,502,503,502,503,501,500,282,503,503,649,800,502,649,502,649,968,101,503,649,649,503,501,649,282,500,500,800,46,649,16,800,800,500,503,800,503,502,649,503,502,502,501,503,502,500,500,800,16,800,52,800,500,502,501,503,502,649,502,503,282,800,800,503,646,649,649,501,501,373,232,800,16,108,562,504,500,282,800,800,649,504,503,502,500,119,58,502,504,800,503,501,572,649,500,282,800,501,501,800,649,649,501,500,649,503,500,800,501,500,503,500,800,500,503,649,502,504,800,282,503,500,502,501,502,503,800,501,800,649,503,649,502,649,502,649,502,800,501,500,503,500,502,308,502,502,621,501,502,649,503,502,282,649,501,649,282,107,800,501,282,800,443,229,16,503,279,800,649,649,502,501,503,501,649,911,501,800,500,502,282,800,435,688,502,502,503,503,16,503,800,649,194,216,502,649,503,502,533,500,501,502,501,649,282,501,985,649,596,503,800,502,503,502,800,282,500,910,500,282,649,800,503,502,649,501,16,501,649,649,92,736,503,501,500,502,501,502,649,500,501,503,500,500,800,503,16,903,649,250,500,500,107,502,501,502,500,502,501,502,677,649,501,500,503,282,503,774,282,502,500,503,649,503,500,500,913,649,649,501,649,800,500,800,489,501,501,649,502,800,502,955,800,282,504,649,502,501,503,800,501,502,107,649,800,502,282,502,501,645,800,500,444,502,649,107,800,500,800,502,501,20,649,501,500,500,649,503,503,259,500,769,503,649,990,500,501,503,503,649,503,501,500,800,649,502,649,501,16,503,503,649,791,494,800,500,500,649,800,34,385,503,503,501,282,282,800,503,282,502,500,649,500,738,500,501,504,649,649,503,501,649,500,503,192,503,282,503,649,649,800,503,649,503,501,501,800,501,649,500,502,256,649,503,500,503,504,501,502,500,16,501,502,800,504,503,501,502,800,503,503,867,500,501,501,282,316,851,604,502,501,502,107,168,649,282,503,800,503,900,282,282,800,800,28,649,684,904,503,800,107,504,800,502,484,649,502,502,16,500,649,800,649,502,800,500,503,135,503,502,502,800,282,477,500,502,998,500,502,800,649,500,502,503,504,800,282,649,501,503,501,282,107,649,502,16,500,501,500,503,714,501,18,502,502,649,500,800,503,747,800,501,501,501,800,649,503,649,500,504,649,282,501,503,500,503,500,809,501,16,501,77,503,503,282,649,282,502,501,800,482,108,500,500,502,649,503,502,503,500,500,800,502,16,649,16,610,350,502,649,649,501,504,649,502,649,282,562,649,800,216,501,649,502,500,502,503,503,503,649,127,502,503,649,502,649,500,503,317,503,960,503,282,649,502,649,501,501,262,503,959,756,503,501,282,694,502,502,16,503,501,800,503,16,649,501,502,502,649,585,649,501,502,503,502,501,800,502,649,501,649,502,503,800,442,504,504,800,500,502,503,502,500,800,503,800,746,800,649,800,501,800,649,501,649,224,500,500,282,502,282,649,800,503,501,800,16,282,500,501,503,502,501,502,58,978,500,503,500,16,16,123,649,502,700,503,282,501,500,649,500,503,501,501,649,800,204,16,800,501,501,800,649,503,502,103,971,503,501,502,649,503,195,503,503,501,502,501,274,503,500,649,649,282,649,436,500,500,649,503,649,501,500,800,16,500,503,800,502,501,502,500,503,282,800,862,501,649,501,500,502,501,502,502,503,504,350,649,502,501,800,502,800,502,501,103,800,649,503,800,761,649,501,501,649,504,800,500,502,503,501,502,503,800,649,800,503,500,649,503,773,501,501,502,930,282,649,503,649,800,500,502,500,282,800,501,648,282,649,500,502,502,501,501,502,501,501,800,282,500,503,503,649,858,649,503,780,437,502,507,649,800,800,800,503,282,107,800,800,502,282,800,501,754,504,790,503,501,502,800,501,46,282,500,800,500,800,502,800,996,502,501,503,500,504,503,503,503,800,800,282,649,503,649,282,500,502,800,649,501,800,500,503,501,504,16,502,16,503,787,502,501,501,766,282,231,501,500,502,649,503,501,705,503,502,16,282,500,649,500,503,649,502,504,501,503,649,282,649,282,501,502,501,302,800,501,649,800,501,649,503,502,107,800,800,800,502,800,504,800,503,502,674,500,6,282,500,500,800,649,501,501,800,500,501,504,501,503,503,501,503,16,500,800,800,502,502,558,502,16,956,502,502,541,502,501,114,649,800,649,502,500,800,503,821,500,818,503,649,649,800,501,16,500,649,162,800,501,500,649,503,674,649,501,502,103,502,800,100,282,282,501,502,503,503,800,800,503,502,502,282,502,282,501,502,476,500,503,800,500,503,502,56,501,282,334,800,649,503,504,282,502,282,649,649,282,502,649,503,800,649,649,649,52,503,503,502,502,503,863,649,500,503,282,649,800,143,501,503,883,13,945,504,800,649,358,501,502,649,501,16,502,667,501,649,501,649,103,685,807,769,502,503,500,523,502,501,502,503,503,503,800,800,500,500,501,649,502,502,649,800,107,649,501,649,503,500,649,501,649,282,282,502,501,503,649,501,504,282,775,501,800,504,500,649,16,502,502,649,376,503,354,501,503,500,500,16,503,282,649,16,800,312,500,800,649,501,501,502,502,500,649,502,503,649,501,503,503,800,503,503,501,501,685,649,503,800,800,500,800,504,800,282,501,503,503,800,500,282,649,503,282,282,503,649,501,500,501,501,503,800,278,649,501,503,16,502,800,503,649,500,501,282,649,502,500,502,502,503,502,500,635,503,503,649,502,649,800,503,800,800,502,800,502,478,16,942,502,500,282,503,503,503,501,500,800,501,800,800,649,800,649,500,500,502,316,502,503,502,500,501,500,69,107,16,500,649,107,16,501,501,501,800,282,529,244,504,800,503,502,504,289,287,501,504,649,967,501,502,502,503,503,502,800,503,500,500,800,502,800,500,649,503,501,775,282,500,800,500,40,282,500,501,649,282,308,502,500,649,501,502,501,16,702,800,800,503,503,501,502,142,282,502,649,501,800,502,500,500,831,503,503,654,500,502,282,502,727,502,800,500,502,500,649,501,503,501,800,501,504,282,501,377,686,500,649,362,503,502,502,502,503,16,282,502,503,500,503,800,502,503,800,500,502,604,800,800,501,502,800,500,503,649,501,503,649,503,504,503,504,800,501,649,649,103,500,501,16,500,502,282,282,282,800,500,501,501,53,503,649,142,800,649,503,502,501,800,282,268,282,649,500,649,502,649,502,282,502,800,693,500,16,800,649,503,825,503,649,501,503,500,501,501,800,649,649,649,800,502,501,282,51,501,501,502,282,500,590,502,800,51,440,613,16,502,282,16,501,502,649,649,649,800,504,502,503,705,800,800,502,501,649,141,501,800,649,501,282,500,500,282,502,926,16,598,503,500,500,502,501,503,282,16,459,500,649,501,315,800,347,503,695,16,649,502,502,504,500,254,800,649,649,649,500,503,501,282,500,502,500,355,502,608,37,503,649,503,16,503,800,800,502,340,501,500,282,800,500,500,501,16,800,503,649,501,800,501,649,617,800,694,16,649,769,16,501,500,503,800,501,649,501,636,500,500,949,800,16,500,800,869,807,503,502,503,500,503,500,800,958,500,800,303,649,907,503,100,500,611,500,800,107,500,500,502,502,502,500,500,502,642,500,501,500,501,649,500,800,503,649,16,501,800,103,501,501,500,502,501,649,500,800,282,503,501,502,649,501,166,282,107,649,16,503,500,501,16,503,501,502,501,633,500,282,501,503,800,282,649,501,800,502,500,500,501,282,503,151,503,502,649,800,502,800,800,501,501,649,16,520,501,16,500,649,502,282,500,16,501,282,503,800,649,679,503,649,649,500,502,502,800,501,500,282,800,282,504,800,756,560,503,502,503,501,1,282,757,501,537,501,649,500,649,504,500,649,503,800,800,504,890,282,16,503,501,500,649,503,282,501,649,504,800,500,501,500,502,849,813,501,501,502,500,649,502,501,800,501,501,649,649,16,282,500,649,800,503,503,501,4,649,827,501,500,649,16,761,502,502,502,500,649,501,502,500,503,800,502,649,504,800,282,503,649,281,503,800,282,502,501,800,800,501,502,511,800,800,500,242,502,503,503,503,501,502,282,500,654,479,500,800,501,649,501,934,800,501,103,16,800,502,282,503,500,16,649,898,502,26,800,503,503,500,359,702,800,800,996,500,503,500,800,503,210,800,502,107,649,800,501,500,502,502,501,501,502,103,502,16,282,800,501,502,649,503,500,501,282,649,504,501,800,800,501,107,502,282,157,500,800,649,649,358,649,800,503,800,503,282,649,682,503,282,502,502,501,800,282,503,800,649,500,800,500,502,649,501,282,282,501,501,800,503,800,500,132,649,800,282,649,937,649,500,501,502,502,800,501,500,500,649,500,503,282,649,16,967,501,501,649,500,502,502,500,503,502,649,625,503,659,504,503,649,502,282,503,501,37,710,103,246,800,502,16,503,282,503,16,503,800,800,500,282,503,800,282,800,16,501,501,503,649,424,500,501,107,800,735,501,653,501,649,649,800,502,800,800,504,501,800,502,800,503,702,503,503,500,107,649,503,500,502,282,649,107,237,500,649,501,4,502,16,773,451,502,503,502,282,282,500,282,800,501,130,352,502,16,500,482,800,500,291,503,501,800,282,608,649,502,800,502,503,503,501,800,501,501,504,502,503,501,500,16,800,501,447,500,16,650,944,800,107,200,649,503,503,837,649,282,500,501,800,649,649,649,501,500,502,502,501,501,501,800,649,503,764,649,501,502,282,649,501,82,500,501,501,500,649,800,502,16,502,504,500,16,502,282,503,282,502,502,537,503,501,649,502,503,504,504,502,503,502,649,502,16,800,649,424,502,800,500,500,501,501,502,502,649,500,500,800,501,16,500,500,503,503,103,502,800,500,501,282,501,503,500,500,649,606,502,501,800,502,649,500,501,501,501,649,31,504,502,500,500,500,502,501,649,502,282,500,649,800,501,800,501,501,501,502,230,504,16,503,503,503,16,503,502,500,500,500,16,649,502,479,16,649,501,800,800,500,800,504,501,503,649,882,107,501,649,800,852,800,649,503,503,35,503,503,915,800,800,503,502,800,649,649,800,282,16,503,649,141,740,501,501,649,112,503,800,500,503,501,502,501,800,500,800,540,649,649,503,328,649,282,553,503,748,649,501,502,502,859,458,503,820,501,500,282,811,503,502,649,800,649,649,500,503,973,500,282,103,502,282,800,965,800,501,282,503,649,40,501,516,503,501,500,800,501,996,800,502,502,503,800,501,819,350,231,282,107,502,500,503,800,649,503,649,800,800,282,501,502,697,620,504,503,800,95,500,503,562,502,596,649,501,501,503,502,807,565,800,500,649,800,824,282,671,500,501,502,503,649,502,649,501,503,500,988,800,649,502,503,502,504,459,501,977,282,500,800,649,503,503,800,747,500,502,282,208,649,503,649,501,282,503,503,649,850,649,282,649,800,502,503,502,500,649,282,927,670,502,660,800,800,501,974,503,500,500,649,503,100,501,501,800,501,503,800,501,607,500,800,502,800,800,501,800,502,800,71,502,649,502,501,502,502,503,282,501,500,800,800,517,501,800,503,500,503,502,800,503,500,504,203,145,501,649,16,800,250,800,800,501,501,800,282,502,692,835,503,500,724,649,503,800,649,500,800,107,800,649,503,107,800,282,800,282,503,500,502,800,800,410,800,16,649,469,649,502,503,800,502,501,16,502,282,282,223,800,501,800,800,503,503,800,500,282,500,649,649,649,21,604,800,282,501,174,501,800,800,649,500,693,649,649,800,502,502,500,800,500,180,282,649,282,649,51,501,503,800,502,800,501,501,503,503,501,282,649,800,915,500,93,800,199,501,502,500,282,501,503,503,502,103,502,500,800,503,501,503,504,800,502,501,500,282,500,649,502,649,501,503,500,379,502,628,282,282,800,800,16,502,800,800,800,501,49,800,800,649,503,500,282,500,800,503,640,504,501,649,16,16,500,282,502,502,503,500,503,16,503,649,16,119,703,649,649,282,649,503,501,800,282,282,500,500,800,649,501,800,649,341,649,800,503,500,501,503,107,503,619,500,503,501,649,503,504,500,16,282,800,500,502,800,500,501,107,502,503,501,503,800,501,501,800,649,503,500,282,501,501,282,501,649,800,877,9,501,501,189,16,800,502,800,500,503,500,282,800,649,458,502,800,800,649,874,800,800,16,501,800,800,501,649,649,504,558,501,503,649,649,749,500,500,503,501,282,501,500,16,502,501,592,649,501,800,612,282,504,649,488,282,923,16,649,282,282,16,649,800,502,500,175,282,501,501,500,800,800,502,405,119,800,501,649,502,500,502,502,502,800,502,282,504,800,503,649,502,502,503,500,800,502,501,649,501,502,503,240,649,503,503,16,209,501,501,502,503,800,503,649,503,649,502,649,649,502,764,502,503,649,282,503,501,500,502,501,575,500,500,501,944,649,501,649,16,800,502,649,504,64,404,705,503,649,221,800,800,649,503,423,503,649,502,800,112,503,800,500,503,800,107,501,502,800,503,503,800,501,503,649,502,502,16,700,282,501,500,503,91,649,649,282,502,659,502,503,800,501,501,501,502,800,800,502,649,649,423,649,282,501,502,986,500,603,502,649,788,503,391,636,501,504,282,282,500,800,503,504,503,800,503,376,500,500,367,734,282,502,103,196,502,502,503,282,503,800,649,800,563,800,501,502,301,649,178,503,800,502,501,16,282,502,502,501,800,501,800,800,503,501,4,501,800,335,649,503,503,503,800,800,649,649,800,500,379,502,649,16,500,501,502,800,800,477,501,501,208,551,800,501,282,504,503,649,500,501,649,800,502,800,800,503,649,138,16,502,502,502,713,502,503,282,571,503,501,282,649,800,649,503,107,501,800,500,282,502,500,800,247,649,649,260,676,800,800,800,500,282,800,503,502,502,282,500,502,500,500,503,649,282,501,282,800,501,649,502,502,16,500,731,16,501,502,503,503,502,500,649,503,800,500,704,800,1000,503,267,649,800,503,800,800,500,800,502,501,503,504,760,649,800,125,500,500,503,503,502,502,16,807,502,649,502,503,649,503,649,16,649,502,649,649,500,414,395,649,502,800,282,500,500,807,502,503,649,502,500,649,800,282,501,502,508,500,282,649,649,502,800,500,503,502,502,649,16,500,800,501,649,500,103,800,500,800,800,503,800,502,500,500,600,800,16,503,257,16,282,649,282,282,503,748,800,649,502,500,231,16,282,800,503,500,501,676,503,929,503,795,649,800,502,501,800,16,503,649,649,501,503,282,500,501,503,649,501,100,800,800,649,503,503,649,503,500,501,800,954,501,501,16,500,274,502,800,16,502,501,500,282,503,500,501,501,501,502,649,800,502,503,503,72,503,800,503,282,503,933,500,738,16,500,500,705,899,282,16,293,502,800,500,750,800,649,16,502,502,503,500,16,504,107,503,800,502,800,794,502,649,503,502,649,16,16,435,503,503,502,500,502,649,500,501,502,800,500,800,649,649,500,502,503,500,800,504,16,800,502,502,800,500,500,649,502,503,800,311,649,501,503,800,501,106,503,500,800,16,503,649,502,632,501,800,16,16,649,107,282,503,501,800,800,504,503,502,503,800,501,768,282,501,800,649,503,500,503,503,649,501,502,649,501,16,629,503,500,562,103,704,500,312,146,503,500,649,502,500,504,800,800,500,800,282,501,835,645,819,502,501,870,649,649,282,16,503,800,16,649,502,649,501,500,800,503,800,503,501,501,282,800,502,500,503,500,649,282,272,699,649,863,649,282,16,792,502,495,501,649,501,726,501,16,649,500,137,16,601,800,501,502,501,649,649,500,649,500,800,500,503,502,282,503,800,502,502,501,649,108,107,500,800,800,502,500,501,16,107,800,503,500,502,501,503,502,503,800,800,500,501,501,993,649,649,504,800,800,282,502,668,800,282,282,282,649,500,503,501,800,503,800,500,500,649,800,800,114,992,503,649,649,800,282,502,800,800,649,501,394,649,502,500,375,502,502,501,501,800,502,500,502,282,16,610,649,649,503,503,502,416,500,282,501,649,705,503,649,500,502,502,504,16,500,502,502,874,501,503,649,504,471,16,503,503,282,503,502,503,501,282,649,369,326,800,142,800,500,501,500,503,502,649,501,501,503,500,500,500,649,500,827,178,502,953,501,649,649,501,955,500,649,649,282,800,502,974,503,649,282,504,46,500,649,800,633,272,807,503,282,500,503,503,503,501,649,501,16,800,500,502,877,503,503,502,501,503,501,503,282,503,500,800,500,501,501,100,502,501,282,399,282,500,784,502,649,649,500,649,800,955,503,649,500,503,705,502,649,649,502,503,649,500,282,500,649,649,501,800,649,16,500,502,501,649,800,502,501,500,48,500,649,986,500,503,176,649,649,502,502,502,649,910,649,649,649,965,750,282,501,807,973,500,800,502,503,501,501,503,408,649,501,501,502,282,800,800,107,649,502,16,16,956,16,501,503,282,107,649,501,649,282,502,800,503,649,649,649,282,649,502,501,649,503,766,514,500,502,282,807,800,500,500,501,501,501,501,500,501,501,649,503,501,16,649,397,23,502,500,502,503,503,74,501,501,502,500,502,604,800,16,214,504,502,155,107,800,501,501,500,800,800,671,502,503,649,800,649,220,500,395,282,501,282,649,80,649,649,649,503,500,800,503,343,501,800,503,282,800,649,503,503,137,503,501,500,500,541,16,878,500,501,282,800,501,490,396,502,974,282,503,503,502,800,800,502,649,501,649,800,502,503,501,942,501,800,500,500,503,503,503,503,500,470,503,502,800,16,503,800,606,314,504,501,649,500,501,16,503,501,800,649,282,298,411,500,800,500,501,649,649,800,500,503,502,635,504,500,501,800,422,503,502,501,501,501,16,500,649,649,16,649,256,649,502,297,500,649,16,503,377,800,649,791,501,800,502,501,501,282,500,800,500,800,649,502,800,107,501,503,649,649,501,500,282,649,500,502,503,800,649,754,503,504,995,800,502,503,711,503,649,826,503,503,502,800,500,282,282,503,503,282,500,800,681,282,107,504,649,649,800,501,502,800,501,800,649,649,190,800,800,51,800,503,502,445,503,503,503,282,503,500,649,501,504,501,169,952,503,503,800,800,649,800,501,501,501,504,503,834,649,502,847,501,501,800,503,649,503,503,649,503,502,500,500,503,800,852,203,506,501,501,501,501,649,500,502,502,500,282,282,533,500,500,501,800,800,649,16,573,524,282,800,503,500,735,503,501,742,16,800,327,501,16,22,501,501,501,502,800,502,502,309,503,500,103,282,649,800,501,502,282,649,502,800,861,294,502,800,501,800,502,502,282,502,264,502,500,503,549,500,503,103,16,503,502,649,800,282,649,16,705,649,504,502,414,501,282,800,800,502,501,649,500,502,502,503,800,649,107,501,282,800,649,501,649,800,800,800,500,503,16,352,503,800,800,500,649,649,16,501,649,502,501,800,770,502,500,16,800,488,1000,103,769,501,16,800,504,649,800,503,502,503,500,649,649,502,502,649,500,482,37,502,800,502,500,16,800,500,649,501,502,649,500,501,175,502,16,892,502,282,502,340,649,503,282,503,501,16,282,503,743,800,501,649,503,502,504,503,933,500,502,501,542,500,107,282,504,500,500,501,503,104,504,286,643,800,500,501,503,16,502,501,500,103,502,500,501,502,503,501,503,502,504,562,282,16,282,800,501,129,649,501,503,74,649,503,800,501,500,501,800,800,655,16,649,503,501,503,649,282,500,500,502,829,502,501,649,807,503,502,501,500,649,502,500,503,501,503,800,282,282,107,282,649,649,649,800,501,800,316,282,800,501,445,500,624,500,503,501,503,800,800,503,103,500,502,500,502,282,282,500,502,503,500,649,800,500,500,985,502,502,501,649,503,502,811,501,502,323,502,649,649,76,502,454,16,501,502,501,502,80,649,16,502,282,800,501,800,502,282,501,500,282,502,500,800,502,503,500,502,282,501,128,103,704,649,503,800,616,16,500,500,24,16,500,762,501,502,16,649,181,500,503,501,233,269,649,502,282,502,182,649,503,500,502,911,503,500,292,649,800,649,282,649,800,504,503,649,504,575,502,232,401,57,500,500,501,16,500,800,500,503,502,680,502,501,502,502,501,501,503,16,502,649,649,501,644,502,501,16,503,16,16,502,16,503,501,800,282,975,800,889,503,502,282,800,800,503,502,501,500,800,282,501,800,282,145,501,326,649,503,649,800,292,502,503,503,800,502,500,649,502,503,500,766,800,649,800,16,501,282,810,502,800,503,516,503,936,649,16,800,705,503,500,397,796,502,649,502,800,502,282,282,501,649,502,649,800,503,201,501,649,800,503,800,16,502,807,500,800,503,502,503,800,500,502,502,502,504,504,649,16,649,500,500,500,501,503,503,16,16,800,529,503,467,500,501,503,501,649,800,501,502,649,502,800,502,502,503,456,922,841,649,282,500,649,503,502,502,16,649,282,502,501,502,469,451,503,16,500,502,649,800,502,500,504,292,501,503,503,649,501,501,16,501,502,192,500,107,503,502,221,501,800,649,500,501,500,503,502,649,15,800,500,800,800,503,800,503,107,501,501,649,653,501,800,502,500,502,502,501,282,282,502,649,294,501,800,649,503,343,494,800,16,762,500,500,649,500,503,649,501,501,658,501,502,501,269,500,500,786,503,501,501,500,321,502,649,503,584,800,649,282,503,502,500,800,649,501,503,800,282,800,417,282,16,800,800,426,501,503,800,503,500,503,282,500,501,282,800,16,282,501,16,649,502,501,649,800,502,529,501,503,800,502,503,800,503,500,501,800,800,502,282,503,502,800,500,800,649,800,500,502,502,501,800,504,500,503,501,502,501,500,16,501,503,649,649,282,282,502,503,51,501,282,501,502,503,282,282,649,800,649,490,282,800,800,800,649,500,615,800,800,501,351,729,282,504,501,800,502,282,282,649,16,649,649,745,500,502,502,501,649,649,800,326,649,503,502,624,500,800,16,757,800,500,649,501,502,500,800,295,504,800,107,501,351,501,503,649,503,500,800,501,342,55,649,649,502,16,502,800,721,649,649,503,502,29,502,282,501,503,501,317,500,16,500,649,649,800,800,103,500,502,649,649,502,282,501,504,503,800,500,501,217,503,35,501,16,503,786,282,800,503,984,800,501,504,649,649,501,16,502,502,74,501,800,649,502,502,500,502,16,32,503,502,503,2,677,503,284,501,834,500,282,800,343,501,800,500,649,16,16,502,500,470,323,500,500,800,500,501,503,501,500,107,649,768,500,800,500,738,649,501,502,501,649,503,501,282,501,503,800,649,501,649,800,502,282,16,15,227,649,817,282,502,500,160,502,674,501,16,502,649,254,103,500,60,282,501,800,99,503,503,107,649,500,284,502,800,861,502,501,649,395,187,320,502,502,501,16,800,502,504,891,282,503,502,502,19,800,226,16,800,649,800,649,500,500,800,800,500,800,800,500,504,501,500,282,503,500,501,503,504,503,649,304,934,1,649,501,649,649,501,960,282,502,28,503,501,800,649,500,500,501,282,649,502,800,503,501,500,500,502,282,282,800,501,800,502,800,480,500,800,500,501,500,336,502,923,501,500,649,502,501,800,504,16,502,381,503,800,503,996,500,982,16,501,501,500,44,500,282,501,282,500,503,800,502,649,504,282,501,609,501,501,503,282,140,501,800,502,219,800,800,501,503,16,503,107,282,911,503,501,649,568,503,503,502,501,649,502,408,16,503,800,649,800,800,219,500,448,649,503,501,500,502,282,810,282,25,501,849,500,16,502,502,16,404,649,649,282,500,282,774,143,649,282,500,282,293,503,503,502,215,377,649,502,112,501,800,800,800,282,800,800,453,282,502,503,502,578,649,282,501,282,649,34,800,800,500,500,800,500,501,16,623,810,282,503,800,500,800,649,282,649,503,501,649,500,107,651,503,86,501,800,800,800,75,502,502,800,122,504,800,500,501,282,800,502,649,800,649,649,384,800,802,282,649,503,501,800,504,800,16,502,982,800,16,500,649,87,501,649,649,502,502,649,503,800,500,800,501,312,502,282,500,502,800,502,503,502,502,500,649,181,501,953,800,515,502,415,500,649,800,501,624,289,503,746,282,501,800,500,879,649,503,655,501,500,502,649,800,501,282,501,282,501,500,291,501,16,503,107,503,800,502,503,502,500,503,501,503,500,417,800,370,16,800,252,502,16,436,185,800,501,323,649,501,649,649,502,999,503,482,562,500,502,16,503,501,800,649,800,785,800,500,649,800,282,502,500,500,502,649,282,869,500,501,635,502,503,502,16,800,649,26,649,203,501,500,800,649,16,754,503,500,983,502,723,649,16,500,501,649,500,649,800,502,500,282,649,502,503,500,503,503,282,800,502,503,935,502,649,800,800,814,282,502,930,501,503,260,533,649,282,767,282,649,501,282,16,762,282,649,649,649,282,503,503,649,501,503,800,501,501,649,500,800,502,282,308,502,892,282,500,800,501,78,59,689,79,649,800,501,503,502,502,716,503,649,58,500,649,503,502,501,800,22,501,70,501,103,500,501,502,800,649,501,746,503,800,282,800,800,503,282,649,502,282,502,502,282,649,503,500,800,16,16,314,500,501,500,282,584,426,500,282,16,16,500,763,800,649,390,500,584,501,500,39,503,833,1,502,800,843,800,503,800,501,16,649,800,107,504,504,502,649,282,502,503,16,503,705,500,500,16,502,800,283,502,500,503,815,649,39,282,503,500,501,649,649,500,503,501,502,800,649,649,182,122,618,503,107,800,500,502,378,16,734,282,649,501,501,818,800,800,855,500,446,503,800,728,623,501,800,800,500,282,502,16,649,501,500,501,649,800,502,503,91,649,800,282,282,954,503,503,504,625,501,501,502,800,501,503,282,500,280,502,649,649,500,501,502,500,501,502,800,282,500,500,502,649,503,501,501,501,500,282,500,502,503,502,800,503,500,502,649,501,160,16,16,311,800,503,504,500,503,504,800,502,502,773,800,204,16,440,282,500,500,282,500,500,16,502,800,754,649,501,649,800,282,649,634,649,500,800,649,500,500,800,800,503,502,500,500,282,649,503,503,501,503,800,807,282,800,649,503,503,503,501,502,649,500,502,800,297,649,808,500,502,649,503,282,502,16,649,501,260,800,898,975,649,800,649,502,779,255,16,500,501,503,503,502,503,16,501,649,649,282,800,620,800,501,500,500,500,500,800,501,502,282,2,503,16,492,502,502,500,282,800,649,649,800,500,282,649,503,502,228,800,16,502,502,103,500,502,503,503,800,500,501,501,503,649,649,501,965,504,649,649,503,433,638,649,800,800,502,502,502,501,282,807,503,501,649,800,501,503,103,502,800,649,500,107,500,649,502,500,800,649,800,501,500,503,502,282,800,800,501,503,384,649,502,501,503,800,653,503,501,282,504,649,649,500,501,800,282,282,502,800,503,100,800,501,502,800,800,502,501,503,150,502,500,862,504,500,282,649,524,899,500,500,503,16,500,63,649,282,504,649,800,954,502,649,649,502,282,800,503,504,800,16,501,503,800,21,501,649,503,501,653,502,503,2,500,501,800,649,649,800,800,500,502,649,503,800,936,503,649,502,503,500,282,309,502,649,800,500,705,649,502,107,649,503,649,800,503,800,502,500,800,501,800,298,502,282,107,807,501,800,282,502,501,489,504,279,16,502,501,800,501,826,501,500,649,649,502,649,965,503,500,800,16,503,501,282,500,503,30,649,282,503,16,500,502,800,502,479,649,452,503,501,800,16,282,500,503,282,649,800,501,502,282,800,501,649,649,649,800,501,570,503,800,500,501,649,500,16,16,501,800,800,503,250,500,500,501,649,800,502,649,500,800,504,501,107,730,502,16,800,828,649,221,501,649,282,501,282,16,501,501,503,504,501,502,16,16,800,299,800,500,501,503,502,502,502,501,503,649,503,649,500,800,800,502,877,800,501,500,503,502,800,649,800,649,501,649,501,103,502,504,503,649,800,503,500,502,800,503,385,500,800,822,500,501,502,503,503,766,500,500,649,649,724,502,92,16,503,173,579,649,279,501,649,166,502,282,640,800,649,730,649,371,503,282,649,501,649,649,16,282,800,503,501,501,503,649,800,282,502,649,687,800,649,500,502,800,573,103,649,502,502,297,501,500,157,649,649,649,500,503,503,649,503,501,649,800,503,502,800,800,921,16,103,501,502,503,800,503,31,649,502,503,500,336,503,503,500,16,649,500,649,502,107,649,501,649,626,501,800,649,503,16,501,16,503,502,503,500,502,503,501,800,800,800,282,500,501,503,503,500,107,502,502,503,500,502,709,503,500,458,282,282,502,502,500,503,649,500,800,282,500,649,16,800,649,69,504,282,501,800,282,500,800,502,500,800,501,503,16,502,502,501,649,800,182,649,503,16,800,31,282,282,500,652,501,16,800,800,504,649,649,501,282,503,501,501,282,500,500,800,501,501,807,282,282,501,501,503,500,282,282,226,962,503,501,800,503,800,282,503,503,649,501,500,649,800,504,500,649,649,312,800,500,502,503,503,504,649,503,800,503,503,501,649,501,502,500,238,500,649,500,800,501,502,501,30,503,503,503,649,649,500,500,751,800,503,16,501,503,800,500,915,503,862,501,500,501,500,503,800,209,503,500,649,649,501,502,503,502,503,502,502,500,501,502,719,494,502,649,501,501,501,282,800,612,503,503,503,609,914,502,500,107,503,955,800,800,649,897,503,503,910,500,500,822,981,243,308,501,500,800,851,500,800,501,501,502,502,500,500,282,503,502,800,501,501,502,800,501,698,502,282,502,501,502,382,649,649,503,800,501,800,502,800,800,282,502,503,500,501,502,423,649,453,800,435,500,501,649,388,16,502,800,502,649,715,758,500,502,501,649,800,502,649,649,649,649,502,282,501,625,503,282,107,800,503,501,649,955,501,500,501,502,282,504,282,649,649,103,502,502,500,503,574,502,503,800,16,649,800,107,649,500,649,502,503,676,948,503,176,502,500,501,502,800,103,282,649,501,501,501,441,800,282,800,649,800,649,502,649,800,649,800,502,282,503,800,500,501,649,502,502,501,503,649,501,100,649,958,501,502,282,664,500,500,931,103,501,649,501,500,800,504,502,649,800,502,800,500,16,500,502,503,875,501,500,502,649,649,705,939,500,500,502,800,500,504,500,501,16,501,500,649,246,209,501,282,500,282,501,500,800,649,95,502,503,856,502,502,800,501,800,500,649,503,103,501,500,503,800,800,649,503,501,502,86,800,502,103,500,800,800,974,822,649,502,504,503,649,800,800,781,502,649,800,649,800,16,501,686,503,282,649,500,282,649,649,500,800,500,842,800,649,502,832,529,16,500,500,502,282,501,800,282,649,504,503,501,501,503,504,503,500,687,501,500,649,282,16,501,503,502,502,103,500,800,576,649,956,427,9,649,423,562,16,501,800,800,503,800,503,501,242,503,502,649,501,800,800,500,800,503,282,503,502,502,639,501,502,500,800,502,649,282,502,282,649,501,800,500,800,500,649,649,107,282,649,800,800,649,500,800,649,502,282,800,503,701,800,503,800,800,841,800,503,500,500,501,504,800,3,501,282,544,501,649,800,800,501,502,500,649,800,649,800,649,800,282,800,800,502,501,502,800,800,503,502,502,401,282,649,130,649,501,502,503,800,800,501,369,305,800,502,800,503,503,501,501,546,503,89,503,649,649,500,800,705,503,501,16,503,502,140,503,3,501,282,501,501,502,800,502,500,282,501,501,649,492,650,500,501,800,282,282,500,502,503,649,503,940,501,800,800,501,16,91,503,502,800,282,500,800,500,800,800,649,502,227,502,649,70,503,194,500,800,503,501,649,500,649,500,800,502,500,649,503,501,800,649,502,296,500,311,503,649,502,503,800,107,800,800,500,301,649,500,282,16,800,500,502,800,503,107,16,502,282,503,501,501,503,16,500,16,940,649,800,800,503,501,649,282,501,501,500,503,501,800,501,502,649,649,649,649,78,649,800,800,649,282,500,649,800,502,503,500,500,503,732,282,502,800,502,601,800,503,162,800,503,649,503,649,100,502,800,504,500,649,500,800,501,800,528,503,502,501,500,649,800,800,556,282,282,442,501,500,501,500,502,501,503,649,503,835,501,502,649,16,743,502,282,504,649,501,503,501,502,282,501,503,800,800,501,800,501,500,806,450,282,501,500,649,501,413,501,502,360,414,103,501,503,503,502,649,16,800,649,503,649,16,649,502,502,282,800,504,967,502,571,500,649,649,649,946,503,501,501,500,503,800,501,806,344,500,800,21,501,504,774,800,504,503,500,800,502,501,800,649,501,501,800,800,500,800,467,500,501,503,800,649,487,503,501,501,649,502,501,800,451,502,649,501,282,500,103,503,16,282,800,800,800,5,503,502,504,176,500,500,804,288,501,800,500,239,502,800,500,649,503,282,649,501,502,500,649,500,689,502,203,500,800,649,16,649,107,500,500,103,503,500,649,501,501,500,500,588,503,500,470,800,916,107,500,500,502,649,502,500,503,502,500,502,501,502,800,500,502,500,503,896,282,282,503,502,649,502,800,800,974,501,649,500,500,503,502,649,503,502,503,649,504,800,16,502,502,800,502,500,501,503,502,502,282,500,649,282,501,500,282,501,14,16,502,649,502,649,500,502,500,649,500,649,502,16,649,503,649,502,502,774,282,501,500,282,503,649,282,502,503,317,504,500,491,501,502,502,502,649,577,503,119,349,257,502,649,500,107,768,502,500,282,501,16,500,502,502,501,170,504,104,800,502,282,500,500,392,500,503,649,800,649,501,800,282,502,503,502,502,800,649,282,500,501,649,503,800,996,501,502,282,649,282,800,16,501,57,500,800,649,502,282,103,501,800,457,598,282,504,16,649,502,339,501,501,282,800,500,500,29,503,502,503,500,16,502,968,500,501,503,503,500,800,967,503,800,500,282,500,800,179,500,501,649,103,173,649,503,504,501,505,500,501,502,878,501,503,202,501,501,500,649,649,502,649,800,503,282,317,502,500,503,649,503,500,661,503,482,16,800,502,928,282,282,890,502,857,996,500,282,501,501,500,800,649,501,634,800,800,500,501,500,504,16,503,500,282,500,155,502,501,310,649,501,503,503,282,800,502,800,500,504,16,500,500,500,347,435,564,16,800,282,282,518,503,282,500,643,501,228,503,800,97,502,649,649,282,500,502,501,502,649,800,503,500,408,503,500,500,41,503,501,16,500,448,649,705,502,649,601,503,500,800,501,786,502,502,103,501,307,649,649,282,501,502,501,474,502,503,800,649,500,502,503,282,800,504,500,500,720,501,800,503,800,500,500,282,501,500,503,168,501,502,16,500,282,649,800,689,501,282,500,501,613,500,501,501,503,502,846,500,501,800,177,649,502,500,500,501,611,503,502,999,16,649,502,500,501,501,502,282,502,649,800,282,502,503,282,800,502,576,502,921,500,800,282,800,502,503,125,500,242,16,991,800,651,501,503,282,800,282,16,16,282,502,649,22,162,800,500,503,354,800,864,649,502,503,501,503,503,501,282,503,282,501,800,800,649,508,501,649,501,649,800,800,500,800,282,502,629,16,16,501,282,282,500,500,282,501,282,503,502,502,501,282,282,503,503,548,501,649,847,649,502,500,282,502,502,501,502,800,502,502,800,649,829,501,434,16,282,800,503,500,502,282,16,432,500,501,282,500,503,503,800,282,503,503,649,500,501,16,501,649,500,130,107,500,282,500,503,486,500,501,282,500,649,503,501,503,501,282,649,766,502,279,501,500,800,502,500,503,649,800,503,800,282,282,503,502,649,503,800,902,649,502,502,503,800,649,502,501,1000,502,272,502,649,571,501,16,502,502,16,800,502,500,501,500,481,282,503,500,649,501,651,756,501,800,282,500,355,502,500,766,500,502,585,284,503,501,800,649,503,851,978,500,503,500,501,500,800,502,649,501,59,503,503,501,501,282,502,502,667,502,500,800,501,501,649,501,503,649,500,500,649,503,501,649,649,103,800,282,109,503,282,501,502,500,504,501,326,501,501,501,16,501,502,466,282,16,500,800,503,800,503,501,649,282,502,503,907,500,16,282,501,501,501,501,649,16,282,800,649,889,800,845,707,649,644,649,800,800,800,649,800,16,501,501,282,501,502,500,504,500,501,282,800,502,525,649,503,649,282,502,501,800,502,503,473,501,500,502,500,107,649,649,649,502,560,529,705,800,649,501,864,503,800,502,500,504,282,503,891,503,502,282,282,649,500,282,800,498,502,800,649,800,800,335,503,502,500,501,649,479,107,649,282,16,503,103,501,649,502,649,503,503,501,503,500,800,649,501,16,503,16,503,282,503,501,500,649,501,490,503,502,503,502,26,501,649,500,800,649,800,502,500,800,800,649,800,502,282,502,16,503,800,500,500,800,602,800,282,800,500,800,613,282,502,282,501,502,502,800,282,502,16,501,502,500,501,800,103,973,930,649,649,800,22,482,502,501,282,649,183,503,501,16,776,501,502,800,800,501,800,503,649,38,649,649,502,501,503,875,503,504,69,502,501,502,501,649,174,800,501,503,800,282,649,282,800,502,503,649,282,503,477,500,48,282,615,503,649,282,502,502,321,16,16,800,649,502,501,503,28,800,501,500,800,501,800,501,500,649,16,501,16,807,501,501,500,503,800,649,282,503,649,818,500,501,501,16,887,649,649,500,705,502,501,501,500,282,502,649,501,16,447,800,502,500,178,500,503,13,500,500,800,501,282,919,501,500,649,282,649,501,282,649,502,503,800,500,800,502,674,16,502,506,649,435,649,503,501,16,470,501,152,501,649,800,649,502,282,503,503,500,800,503,501,751,282,503,500,649,502,503,649,503,800,649,649,501,693,504,501,500,502,502,501,503,503,503,649,800,504,649,503,269,502,501,500,649,501,503,500,503,282,39,649,282,502,503,616,501,504,502,16,16,533,500,184,800,438,432,910,649,502,800,909,503,800,500,465,501,649,800,500,501,800,16,103,500,500,800,649,800,500,503,503,800,103,50,502,503,503,800,502,503,282,502,310,285,503,800,503,800,501,501,282,800,649,501,649,502,502,649,502,502,502,16,282,501,880,800,502,800,501,502,800,503,325,649,445,649,503,501,16,649,501,501,503,858,503,109,501,500,282,501,16,282,282,800,500,649,503,500,502,649,501,503,500,500,649,501,649,500,502,502,501,649,503,504,804,500,649,503,502,501,500,503,500,649,500,502,800,16,500,603,503,500,302,500,500,800,443,649,784,502,503,800,16,649,503,502,649,503,952,500,465,500,800,502,502,649,649,503,500,800,502,282,500,501,504,503,500,800,502,503,501,502,503,489,502,500,500,502,503,504,500,502,401,282,16,502,503,503,503,800,501,800,995,539,649,649,282,282,500,504,500,471,502,502,501,503,501,502,800,502,107,282,502,501,352,282,502,800,800,1000,502,503,500,649,835,800,188,895,500,501,502,501,282,500,16,282,649,322,340,263,687,358,503,500,282,503,500,500,933,500,500,282,649,16,503,500,800,500,503,500,800,500,501,500,502,800,282,881,649,649,502,649,900,800,974,800,649,503,501,800,303,500,500,649,978,649,501,500,501,649,500,503,649,649,16,503,282,503,800,501,282,501,800,800,649,502,500,469,500,501,199,800,503,705,500,500,625,3,752,502,282,503,800,502,501,500,800,800,800,95,501,16,501,282,502,503,16,800,649,164,800,502,500,500,282,103,501,282,500,500,800,502,503,282,503,503,500,501,649,800,503,649,502,500,503,501,503,500,502,503,501,214,374,501,282,733,649,502,282,555,800,800,503,800,800,500,649,479,800,503,503,649,267,453,503,503,500,500,503,583,500,500,800,503,649,502,502,500,503,501,501,511,503,649,500,649,793,649,800,502,503,800,500,500,170,649,500,800,282,502,503,500,500,583,503,799,502,649,282,501,500,502,503,502,800,649,649,800,282,683,800,501,482,500,800,502,502,503,282,503,901,501,800,631,500,502,360,649,500,282,649,502,649,502,500,800,500,800,282,503,501,503,501,800,649,66,456,649,649,940,500,502,501,502,500,501,503,800,502,800,332,501,500,503,649,504,502,502,502,503,500,500,649,503,649,107,282,800,649,500,282,501,501,502,800,649,649,501,282,649,503,503,928,500,502,800,125,415,269,649,500,648,504,649,344,649,500,501,649,649,502,501,800,800,502,740,503,649,500,879,16,501,500,503,502,500,501,503,503,282,503,503,504,16,502,800,649,501,503,597,502,501,649,501,503,16,282,502,501,503,503,503,800,500,502,503,500,854,329,501,800,502,500,800,195,501,281,800,282,503,800,500,500,911,429,502,503,827,501,500,501,500,503,503,380,503,360,649,219,502,500,649,649,800,500,966,86,500,501,649,16,501,500,800,282,282,649,649,649,503,501,503,895,502,282,501,500,502,800,500,282,16,15,975,503,501,649,316,649,16,809,501,501,503,649,500,502,501,503,502,503,282,282,503,649,501,800,501,954,500,437,375,501,501,503,282,800,501,503,649,800,906,500,500,649,504,500,501,649,503,800,501,501,502,800,503,649,649,501,501,502,800,503,502,630,282,649,171,988,501,501,800,649,500,503,100,501,502,800,503,500,649,502,649,504,502,649,800,649,531,800,500,282,503,500,103,685,500,501,500,282,501,502,503,16,502,503,282,501,503,16,800,894,501,649,800,501,282,500,501,649,500,503,800,501,501,10,649,649,800,500,649,501,501,503,649,800,501,503,800,500,503,503,16,649,800,649,443,794,649,503,501,501,500,322,502,502,500,500,61,800,16,649,502,503,501,502,405,800,503,501,869,649,800,502,500,501,800,282,502,282,500,502,282,500,16,649,503,500,649,501,499,501,501,649,503,649,928,503,649,649,800,501,800,503,16,670,649,500,501,378,282,501,502,502,649,800,649,800,500,800,800,649,800,86,218,800,649,107,282,282,649,282,503,649,502,500,502,800,502,800,800,986,502,800,501,641,800,503,501,500,282,501,16,16,844,502,502,649,800,533,282,503,502,800,800,503,503,503,502,500,503,800,784,500,809,800,800,500,938,649,16,500,501,502,500,502,786,501,649,500,875,500,502,503,502,502,845,501,961,649,258,724,977,800,800,649,16,800,879,649,500,800,760,800,502,824,501,502,500,502,500,502,649,649,502,282,649,500,243,649,800,649,503,649,501,606,282,620,649,501,503,649,649,504,502,16,649,800,503,502,503,649,800,649,504,282,282,501,800,504,16,649,503,500,500,500,502,500,649,800,282,282,502,800,502,800,502,500,131,199,502,649,282,502,502,501,327,282,685,800,290,503,107,500,430,501,980,500,502,649,503,501,107,929,455,502,282,649,502,649,501,503,500,501,501,16,649,503,282,501,503,501,282,800,21,16,282,649,503,500,107,724,649,502,649,501,504,800,802,503,649,503,503,800,501,800,16,502,500,662,800,649,501,500,501,502,649,800,800,101,501,502,503,502,502,501,800,800,649,502,500,503,800,800,900,501,501,877,649,604,503,503,504,501,503,282,503,649,407,800,282,800,649,600,503,100,500,282,649,789,502,649,16,500,503,387,501,501,649,501,16,649,16,501,504,107,282,503,501,500,500,502,500,501,502,800,501,502,899,502,649,649,800,502,495,643,503,501,16,800,501,502,800,800,501,500,501,649,442,800,800,502,500,503,504,500,500,501,800,800,65,434,800,500,550,800,503,800,649,10,800,501,502,800,800,503,16,504,800,649,503,800,649,502,503,649,649,932,282,800,649,501,800,962,100,502,649,500,503,282,500,77,282,500,800,501,503,502,503,649,649,500,503,768,800,504,503,501,501,388,282,501,649,800,500,800,92,16,16,502,805,800,649,503,500,502,800,502,501,649,567,649,663,16,800,282,16,649,501,800,667,500,501,107,649,649,501,504,16,500,54,504,107,100,649,800,64,500,503,800,503,800,501,107,503,502,16,649,16,800,807,503,500,504,502,502,800,502,800,502,501,502,649,502,879,502,649,800,502,649,107,503,511,800,501,649,502,501,501,503,501,471,503,16,795,649,501,16,800,800,501,800,676,503,649,500,570,800,501,800,502,503,649,503,500,503,502,282,800,504,504,16,503,91,800,705,501,503,649,19,206,800,649,501,503,500,500,504,500,282,800,502,501,649,800,500,800,800,209,500,501,502,16,500,282,502,502,16,502,500,501,584,282,502,649,501,501,798,502,503,503,503,282,649,501,481,501,500,502,16,717,502,503,649,721,502,501,500,16,800,487,800,800,500,282,800,16,503,981,800,503,503,500,500,503,501,179,500,501,724,502,649,649,503,501,504,649,502,501,503,503,502,503,502,502,649,500,503,502,500,501,649,16,282,503,500,501,502,500,800,649,16,178,501,502,501,501,502,502,134,503,504,800,16,501,503,16,502,501,496,501,794,503,800,503,504,502,501,501,649,800,500,649,712,282,500,575,502,800,740,649,503,500,502,208,347,502,800,103,800,502,800,107,848,782,503,800,800,16,502,501,59,500,500,16,500,800,501,502,126,501,800,503,36,800,500,503,500,503,699,103,503,500,282,503,649,649,649,800,502,649,220,800,800,500,504,649,800,649,500,503,800,649,343,251,504,502,500,554,800,282,12,502,500,500,649,16,800,501,282,916,649,800,133,649,501,800,649,501,503,800,501,800,503,503,503,282,500,504,502,922,500,502,800,649,502,649,705,546,99,758,501,500,282,313,504,504,282,649,502,502,304,500,16,800,649,649,800,649,502,649,503,30,503,503,500,500,500,16,503,800,68,649,649,502,649,649,282,649,503,501,47,649,500,500,502,502,500,501,16,501,504,501,503,589,501,501,649,649,649,501,897,282,501,500,501,502,755,792,501,502,502,800,501,649,504,649,500,502,502,503,800,800,500,503,282,500,501,800,500,800,503,502,501,500,282,800,500,649,893,502,501,107,500,500,800,914,649,501,649,501,800,16,494,649,504,649,800,649,500,501,502,503,649,500,503,503,649,501,500,16,502,282,504,800,615,501,649,325,282,138,282,503,503,501,501,944,503,503,107,649,501,500,800,500,21,800,649,503,800,502,501,500,800,696,425,16,503,503,501,16,502,500,500,502,16,502,649,501,502,800,800,503,500,216,800,649,501,649,748,501,501,500,16,502,800,649,800,234,503,503,501,401,501,502,788,649,500,503,503,649,503,282,649,649,800,504,883,502,504,500,500,500,502,501,503,800,502,800,502,800,503,503,16,800,321,502,800,282,728,500,800,329,502,500,500,502,282,959,503,282,503,649,282,503,800,502,282,503,282,500,649,649,800,502,800,503,504,502,503,792,282,500,502,503,16,649,649,501,503,503,16,502,503,979,503,845,552,501,800,500,502,501,800,501,282,282,502,500,500,998,952,503,503,502,502,805,503,649,56,738,583,502,231,800,994,660,503,503,502,500,501,16,800,649,282,800,501,574,649,502,666,503,649,500,578,649,548,502,228,503,503,500,502,503,810,355,501,649,649,305,16,500,401,649,500,501,501,649,282,502,282,501,502,501,983,503,502,502,502,800,16,468,649,500,500,502,649,607,282,501,503,958,500,503,282,282,649,800,501,503,206,388,438,344,503,501,800,501,800,36,800,504,502,588,500,504,16,501,501,304,935,800,501,649,422,503,103,501,502,503,370,503,503,800,649,282,649,503,502,502,282,16,800,502,649,501,501,227,282,502,500,800,500,500,705,282,370,500,800,501,500,500,379,800,500,502,504,501,502,649,16,800,502,501,502,800,500,503,501,238,16,808,649,503,502,503,502,502,502,649,503,500,332,649,16,500,583,357,282,800,503,501,502,282,503,16,500,358,503,500,500,503,501,503,501,500,800,649,504,649,504,501,500,501,800,500,500,502,800,649,502,500,501,500,423,282,502,192,103,800,282,500,501,282,502,500,846,501,800,649,503,649,501,800,502,502,778,503,381,762,103,502,800,649,501,800,649,282,503,503,503,503,502,503,800,503,800,502,792,501,7,503,649,6,800,504,501,502,501,500,502,543,649,503,546,107,282,599,800,501,500,800,502,45,501,500,501,282,800,649,649,502,500,282,500,504,282,500,107,282,500,500,282,288,649,649,500,503,471,499,500,501,501,649,503,501,501,649,500,500,800,500,641,649,649,800,800,649,502,501,501,800,282,408,503,800,502,649,503,500,500,649,800,191,502,282,503,503,503,649,503,649,504,500,649,649,500,649,800,282,501,502,500,800,649,800,800,649,503,502,501,501,500,594,503,503,503,48,500,282,501,282,282,503,500,503,282,501,501,500,800,107,282,502,649,503,502,800,501,649,282,500,317,180,872,400,984,500,282,282,146,649,503,500,16,800,501,501,504,500,503,503,649,16,403,501,502,822,800,502,856,503,649,881,649,501,649,502,800,649,501,47,500,503,649,501,649,502,503,598,800,649,447,503,649,500,500,16,501,500,480,197,800,800,282,503,681,800,730,502,500,649,800,503,800,500,500,828,649,16,500,800,500,504,649,825,501,500,800,500,503,500,649,800,800,16,501,501,500,649,800,500,501,500,649,502,649,503,649,800,649,501,689,501,649,800,501,500,282,800,503,606,721,503,676,649,501,800,503,282,649,502,501,649,503,501,502,282,237,16,502,282,502,302,503,800,500,649,502,282,502,503,502,649,211,503,800,503,107,500,503,16,282,649,354,500,501,649,500,503,649,649,504,500,800,16,500,503,811,503,719,800,16,501,728,500,649,504,500,502,282,649,500,501,501,501,503,501,500,502,800,501,649,500,142,500,500,503,500,502,503,504,503,503,16,705,649,500,502,800,103,502,503,503,503,282,503,502,800,800,16,800,502,16,501,649,800,282,502,503,282,502,649,168,503,649,282,649,504,282,561,800,502,282,503,500,81,500,282,503,502,282,282,500,503,649,606,800,503,800,16,501,649,501,649,503,503,188,740,503,503,503,800,501,649,503,502,800,503,800,282,318,800,649,500,504,502,282,649,501,500,504,501,502,16,16,849,500,502,16,800,103,500,477,800,800,500,502,503,501,502,503,500,501,502,282,649,503,501,501,500,800,800,800,282,649,800,282,503,500,257,16,419,649,649,501,800,724,649,501,541,500,500,800,503,107,800,500,503,16,503,500,502,500,534,500,502,800,364,500,649,282,649,501,649,800,503,500,503,800,502,649,800,282,503,282,800,502,502,502,649,800,649,503,501,282,107,501,503,503,800,501,970,800,500,502,16,500,800,282,414,282,649,502,800,800,800,649,282,501,282,800,800,800,107,282,21,798,500,500,469,282,500,503,503,282,501,222,503,280,828,282,649,501,282,800,503,500,502,503,800,649,503,867,503,502,503,649,501,502,107,500,502,139,500,80,649,503,500,502,501,501,502,800,504,503,649,800,649,502,680,500,501,500,502,107,566,404,282,501,282,502,649,502,503,950,287,649,800,800,199,435,800,800,502,500,282,644,800,580,502,501,640,502,500,649,800,649,649,503,800,282,649,291,649,942,339,800,500,649,807,504,674,800,504,502,502,500,501,500,800,649,649,16,502,800,282,502,500,649,500,503,500,649,103,501,501,649,502,912,502,282,500,800,503,502,503,501,501,500,800,649,16,503,649,282,282,501,503,503,503,503,489,503,501,500,503,502,501,623,308,800,800,800,800,502,795,502,502,662,500,502,501,503,800,800,484,502,500,503,982,501,502,282,501,988,16,16,649,16,649,501,649,699,16,503,156,502,282,500,500,649,501,502,502,503,649,461,502,501,502,649,502,501,502,500,502,502,503,500,282,502,501,610,800,502,502,118,501,282,501,502,501,502,800,643,501,16,503,649,649,896,800,217,503,500,282,282,503,288,282,501,649,649,649,16,502,800,501,800,16,16,502,649,800,201,282,500,500,501,649,500,500,282,800,800,501,800,501,503,800,502,800,500,282,503,501,502,800,95,870,16,741,502,282,500,649,649,500,500,649,503,519,503,502,503,16,800,800,800,800,502,503,502,552,501,501,501,47,800,551,282,500,800,504,136,502,800,500,501,649,800,282,502,501,649,501,501,169,800,500,649,500,800,649,800,504,501,503,800,503,502,503,649,108,800,16,282,501,501,502,502,649,649,649,503,800,501,502,649,502,500,649,500,504,500,503,502,800,649,501,503,152,501,502,586,352,282,503,800,649,501,800,500,501,502,649,649,800,503,501,504,503,503,503,800,529,503,501,649,378,500,500,501,800,649,502,16,649,710,502,107,175,502,800,500,501,500,16,800,905,282,501,649,502,426,504,800,16,800,800,649,501,993,503,503,500,282,500,649,800,924,503,500,502,500,503,501,502,500,502,800,503,503,500,800,501,502,503,649,500,501,501,500,800,503,649,800,649,800,282,800,501,649,649,649,502,16,649,502,131,503,501,649,501,501,649,500,500,649,155,502,800,502,502,503,107,938,503,649,291,500,489,502,500,800,800,649,800,502,503,500,502,503,501,502,649,659,107,649,500,502,16,503,503,503,501,504,500,503,282,503,503,501,502,600,800,649,282,253,261,502,500,502,800,501,282,501,503,282,500,500,500,503,649,998,230,516,504,501,503,800,282,726,502,961,503,450,649,502,16,800,502,503,503,500,800,203,503,501,503,502,282,504,503,503,800,489,379,501,500,800,490,500,800,501,500,500,502,502,800,34,503,800,483,649,501,504,500,500,518,502,800,649,643,500,503,502,502,500,503,503,247,503,503,228,649,501,500,500,502,501,582,185,107,800,501,503,501,500,502,503,503,538,502,503,502,501,501,649,844,503,791,870,347,501,416,502,503,800,705,502,649,604,502,649,503,800,145,800,503,282,503,649,942,503,502,503,649,502,501,500,800,501,649,500,282,16,501,503,649,500,282,667,649,649,500,502,631,282,800,608,800,649,181,800,501,16,800,649,500,501,502,503,500,500,502,500,892,500,800,500,800,649,502,501,649,800,503,649,500,282,800,501,504,503,502,649,504,78,800,500,503,649,502,501,500,500,502,380,503,500,338,502,502,649,502,500,214,503,282,500,649,649,800,649,500,770,374,502,282,16,649,649,501,76,501,500,800,500,800,501,282,501,666,500,503,177,503,649,282,501,502,504,501,649,800,501,500,649,503,501,800,501,649,503,16,800,800,16,500,493,500,121,649,501,500,282,503,107,800,649,800,107,982,500,649,16,502,501,800,649,968,649,503,502,520,501,502,103,501,500,282,501,282,863,500,503,500,655,503,714,500,502,500,615,501,649,800,503,147,800,501,649,500,503,174,317,503,649,649,282,282,282,502,351,500,800,501,800,649,800,598,800,502,503,503,997,324,501,649,500,649,502,121,282,800,502,501,747,502,16,649,503,502,502,500,501,504,649,649,584,649,800,501,501,800,800,501,649,649,501,502,502,16,649,500,705,649,503,100,502,827,84,782,70,306,3,16,800,501,501,800,282,503,503,649,500,500,501,16,649,173,282,501,503,500,385,502,502,503,282,500,503,649,323,800,500,502,16,500,503,649,16,282,800,502,500,649,800,502,501,503,500,800,282,502,502,282,502,502,571,800,800,139,502,502,501,503,282,800,502,551,501,502,16,502,503,651,501,501,500,282,503,504,282,90,500,500,500,503,504,502,503,800,649,649,460,649,639,649,503,107,282,40,649,504,800,503,800,300,504,800,649,800,502,520,16,502,649,501,16,282,500,840,800,800,502,501,500,649,800,503,544,800,800,503,503,501,649,501,503,800,500,649,500,502,649,649,500,500,500,644,800,500,53,502,500,800,800,502,649,502,502,501,800,503,503,995,800,502,500,502,501,502,800,502,504,649,282,103,502,502,649,503,649,500,649,501,501,500,282,519,501,800,500,501,649,16,649,115,503,800,672,500,676,371,504,800,502,504,649,500,500,800,176,503,800,800,649,649,282,16,649,173,502,282,107,502,500,649,16,501,502,501,649,500,695,800,502,500,502,503,502,800,800,502,800,96,800,502,503,500,503,503,800,503,689,500,649,16,800,500,906,649,427,500,800,225,501,800,295,427,800,502,502,500,800,501,503,649,502,501,500,500,500,649,77,502,800,503,501,727,649,500,503,649,16,503,500,502,501,800,649,800,501,501,800,503,500,800,649,800,502,502,500,800,721,208,649,503,502,800,102,503,809,517,282,500,605,282,800,649,649,502,602,503,16,203,502,503,649,502,503,649,282,503,800,800,501,649,708,800,282,649,290,282,501,800,503,800,500,479,885,654,748,975,58,500,502,502,626,501,800,800,500,649,501,500,500,501,800,470,649,501,800,649,501,918,502,502,503,501,164,800,800,503,500,500,107,649,500,649,502,282,16,16,800,282,800,649,501,503,282,800,500,500,503,800,800,16,800,443,502,503,500,501,502,500,503,502,503,649,504,204,282,649,501,501,150,282,500,800,211,500,503,817,649,503,501,503,649,502,800,845,16,503,502,502,600,503,500,649,649,925,501,16,800,501,501,500,501,649,501,282,503,287,500,501,649,500,503,501,500,649,501,501,501,500,322,649,500,349,282,503,501,502,800,501,500,649,501,649,800,502,500,800,858,501,282,800,500,502,649,503,649,358,502,503,502,649,800,282,503,503,502,502,502,649,503,649,649,502,649,649,16,649,800,500,649,649,649,800,649,16,800,649,107,649,501,502,800,282,405,800,503,503,74,503,501,16,503,800,500,500,16,499,746,282,649,502,800,800,503,501,649,16,800,800,501,282,597,501,282,502,503,705,800,503,282,16,649,649,501,501,503,800,617,833,282,649,503,649,800,502,282,649,107,800,501,503,503,503,501,282,501,265,503,800,500,800,800,16,800,282,649,503,649,800,649,649,996,649,504,282,800,502,23,282,501,503,649,503,201,500,649,503,16,800,501,501,822,649,500,536,503,503,16,157,649,649,16,501,649,502,501,481,217,800,503,503,500,649,675,282,807,503,502,503,294,800,500,500,500,501,755,800,282,500,571,282,42,47,705,800,501,500,649,282,500,503,501,649,649,705,107,501,234,476,503,649,282,16,381,503,502,501,503,500,501,500,503,800,501,649,165,282,501,649,503,500,649,501,501,800,502,501,502,800,504,649,800,500,503,145,503,503,649,502,501,800,800,107,800,800,501,501,503,649,131,379,502,503,649,649,503,502,500,501,649,501,500,649,649,282,649,519,649,179,501,649,649,799,800,100,800,282,413,503,800,649,502,502,501,504,488,649,501,382,501,501,500,16,502,501,503,649,282,800,500,502,500,503,282,800,502,503,502,500,649,500,501,503,500,282,800,500,501,501,800,800,255,649,503,649,502,282,800,282,504,956,800,501,649,649,413,100,500,501,649,800,503,76,502,501,501,500,399,961,500,535,800,82,501,503,800,993,861,282,800,640,502,503,504,282,502,502,649,503,502,501,503,649,822,804,500,16,500,503,649,649,800,107,800,800,282,649,800,502,500,649,503,502,502,502,500,503,649,501,649,501,501,200,807,800,107,649,502,500,503,503,212,501,503,500,503,503,504,16,500,800,649,282,282,503,502,282,748,419,503,800,839,649,282,502,668,501,933,595,81,349,503,649,282,800,649,181,649,500,500,503,500,884,502,649,649,502,501,107,502,502,501,503,500,503,800,16,502,800,500,800,649,500,500,282,16,503,502,503,649,57,502,605,800,500,602,649,800,500,282,500,500,503,649,503,800,500,501,107,800,16,502,500,503,502,649,800,16,16,649,282,800,502,800,16,500,500,800,501,500,500,503,282,504,502,502,282,649,500,503,649,500,501,583,501,715,800,649,343,502,800,503,502,500,502,800,506,800,649,502,800,800,282,501,500,649,501,503,503,16,501,501,398,502,62,501,503,666,503,503,504,296,282,500,673,272,502,282,503,500,936,207,951,649,503,649,502,500,503,282,649,149,800,800,16,502,502,282,16,500,501,800,502,223,979,503,500,282,502,500,16,500,500,282,503,500,800,503,649,800,282,502,503,282,649,502,503,500,282,500,500,649,503,936,649,282,816,649,649,323,500,800,502,500,503,503,502,649,503,500,800,800,649,649,649,649,501,649,500,503,649,445,502,500,649,16,500,500,503,501,501,107,649,800,677,501,434,282,501,800,800,501,649,503,500,447,649,800,795,502,282,800,578,649,649,500,649,649,500,282,501,282,16,501,502,107,289,503,649,800,922,502,649,800,16,800,502,503,501,649,16,500,500,500,502,501,282,423,836,800,502,403,386,16,504,800,500,500,502,502,500,100,627,649,502,16,296,710,800,800,282,800,500,503,649,649,500,649,649,555,502,800,500,500,800,501,502,504,503,800,503,501,502,501,800,500,500,500,500,502,501,204,649,501,501,649,503,649,46,502,649,649,514,282,94,501,500,600,800,282,501,501,501,800,863,800,800,501,649,500,800,649,800,282,691,501,282,800,501,649,800,502,282,16,501,502,807,501,503,501,501,107,503,502,500,16,282,501,282,502,503,500,800,503,268,649,103,649,649,502,503,501,501,500,649,800,504,16,649,503,501,502,503,800,391,502,503,282,800,501,649,504,721,503,504,282,800,500,649,282,649,503,501,800,502,649,503,274,649,649,503,16,800,503,649,501,500,800,649,800,800,649,649,502,766,504,502,649,503,500,500,501,800,503,500,800,59,501,500,800,730,649,502,649,502,800,16,282,502,282,800,502,501,800,649,16,800,514,649,501,502,502,282,503,503,503,575,874,282,230,501,282,454,500,188,649,4,800,800,500,501,502,282,916,649,500,282,503,800,504,504,744,800,282,282,502,501,500,282,507,500,502,503,500,649,500,649,503,649,203,504,649,500,500,503,16,501,649,501,500,339,501,282,800,800,997,500,501,503,282,502,502,205,502,800,501,649,649,503,500,282,282,282,501,800,501,500,501,800,500,501,800,500,503,815,504,501,500,501,502,649,16,800,800,640,649,921,503,503,502,173,16,107,649,413,800,44,501,500,501,501,800,649,649,800,500,800,831,500,503,270,514,500,103,502,502,649,649,800,502,500,800,649,501,649,502,500,502,13,503,282,649,504,282,503,504,501,503,501,892,502,500,649,500,502,502,501,633,800,282,503,502,800,502,800,16,649,503,16,800,282,501,649,800,502,503,282,501,500,800,800,501,282,282,500,649,16,500,500,503,282,151,501,502,504,502,503,282,501,129,500,963,800,40,501,800,502,649,251,503,501,502,800,502,800,503,16,800,103,501,800,649,501,800,800,719,282,500,501,649,282,500,649,800,503,500,502,503,503,282,16,282,649,502,649,800,282,500,360,843,501,16,501,764,501,864,649,501,800,502,502,503,840,502,502,501,502,733,500,501,523,649,212,649,503,800,282,501,502,50,502,16,501,500,503,87,16,48,800,800,107,500,800,500,500,800,800,500,649,800,501,800,503,35,800,649,800,502,503,502,549,500,39,503,282,500,501,500,501,502,503,450,500,449,502,649,500,502,501,500,502,173,107,800,282,800,502,502,282,502,503,618,649,501,500,16,500,649,500,501,501,503,501,500,502,502,500,501,503,500,501,649,332,502,502,649,688,503,649,800,649,502,800,649,189,553,501,503,800,504,502,800,299,649,501,800,501,800,500,649,503,800,501,332,503,501,269,649,649,502,16,500,800,800,16,500,503,503,649,500,502,501,800,800,800,501,800,386,500,502,297,663,800,800,503,649,626,136,800,500,502,319,649,16,812,502,503,282,502,893,134,502,649,502,504,501,500,500,649,503,503,800,800,500,500,852,529,500,501,800,500,16,500,800,282,800,503,501,16,502,649,800,592,649,502,502,800,800,649,500,800,501,503,800,500,502,800,649,800,500,503,501,503,800,800,800,500,649,800,128,502,649,501,504,502,342,315,502,500,16,800,649,800,649,501,500,282,717,500,500,503,500,800,501,649,502,649,800,501,501,501,503,502,800,501,501,800,800,282,503,503,470,503,769,501,501,396,800,800,501,502,502,502,503,502,502,282,503,501,282,282,948,500,501,948,800,502,800,654,800,501,807,503,649,649,502,500,16,501,503,500,501,282,501,800,501,501,500,649,500,282,501,503,16,502,501,282,800,501,800,800,800,16,649,800,800,423,502,649,840,800,502,107,800,632,913,800,649,283,501,503,649,649,282,282,649,720,195,501,502,800,504,800,282,282,502,502,107,800,502,502,503,282,800,500,504,800,800,282,502,500,502,252,502,800,649,500,504,649,502,649,901,502,282,500,503,500,501,649,649,282,503,500,649,282,800,502,501,500,909,502,501,373,800,500,16,63,379,16,266,501,282,689,523,502,972,503,502,16,282,503,649,649,502,282,502,502,502,107,800,765,282,936,807,800,800,800,500,400,500,800,496,653,502,502,107,282,503,501,282,649,649,649,500,16,800,500,502,800,649,500,800,503,282,503,504,800,500,800,649,800,282,501,502,503,800,800,500,800,503,274,502,833,649,501,994,500,800,501,800,649,800,501,396,501,713,503,503,494,22,502,503,649,846,16,649,501,501,502,500,502,16,103,500,282,336,340,800,603,800,800,16,282,503,503,501,649,503,800,502,500,502,503,502,500,502,800,502,649,325,649,282,500,800,649,501,800,800,649,649,501,16,800,414,800,649,501,649,651,500,501,649,500,649,649,502,800,500,502,502,16,500,503,649,61,282,500,800,503,649,502,800,501,503,500,282,282,501,649,272,502,649,501,502,27,501,503,503,649,503,800,16,501,500,282,501,500,501,502,800,501,699,503,503,501,500,502,282,503,282,282,504,706,500,501,501,503,501,649,282,649,502,500,502,649,503,649,16,886,800,649,807,794,500,504,501,503,503,800,503,800,800,500,282,502,501,800,503,503,503,837,501,649,954,649,500,282,282,154,282,220,502,282,800,503,282,502,649,500,649,501,16,501,800,502,501,503,502,282,500,503,502,649,500,800,503,163,649,502,800,649,502,502,501,62,791,239,282,502,501,500,503,800,500,504,500,500,393,107,501,503,334,282,16,501,800,501,503,503,282,282,501,800,501,369,503,800,500,649,282,100,649,991,502,503,501,800,501,503,503,800,800,78,313,649,502,501,503,502,501,503,649,649,502,501,974,503,500,503,500,678,501,800,649,503,649,503,501,501,503,503,800,89,544,649,502,800,500,501,503,282,800,503,800,282,800,800,500,649,649,501,500,317,503,501,800,501,282,501,800,800,500,800,502,502,502,511,504,279,500,162,501,503,501,649,988,502,277,500,502,562,501,500,772,502,649,768,800,16,649,501,500,501,500,985,107,500,503,500,501,502,582,501,107,501,66,16,107,502,501,416,503,800,502,934,500,502,503,800,808,502,107,649,502,503,308,500,282,502,471,192,649,324,800,504,500,502,16,503,503,977,500,500,501,282,514,503,500,800,16,282,503,649,502,112,501,16,501,668,800,320,800,282,501,800,502,503,500,800,502,503,800,502,502,282,502,800,800,503,501,501,282,504,282,500,500,502,500,800,500,649,282,501,649,501,16,503,502,649,503,418,800,501,800,500,800,503,501,800,769,501,649,921,503,500,504,500,649,800,503,502,500,454,500,502,16,282,503,500,807,649,503,503,955,504,500,502,649,16,787,649,294,800,649,649,649,75,762,800,437,649,501,151,649,649,500,502,503,205,103,800,16,282,502,800,500,502,649,800,501,502,334,636,16,800,268,503,365,649,989,503,500,501,504,649,800,649,649,800,282,729,800,501,501,16,503,649,282,800,839,502,649,282,800,502,649,500,800,649,649,16,461,503,500,501,500,503,800,171,428,503,501,286,2,649,503,503,282,800,649,649,501,501,282,649,502,503,504,502,500,541,502,649,649,16,16,502,649,800,649,800,500,662,866,649,500,501,42,504,501,282,649,500,503,282,649,500,502,503,649,800,649,800,501,500,502,502,282,502,503,800,500,649,282,502,16,500,501,547,800,800,502,503,649,502,503,503,797,501,606,501,503,282,649,16,800,774,649,502,282,61,649,334,503,503,228,282,643,649,504,500,649,500,502,500,500,502,501,501,500,16,800,277,501,649,103,800,800,502,282,107,500,800,501,500,501,503,503,739,649,649,502,800,504,500,502,649,501,800,85,649,502,421,502,800,500,649,649,502,800,501,709,42,308,649,503,500,500,16,502,503,503,16,685,16,502,680,282,503,649,500,282,503,504,649,503,282,503,501,502,649,400,502,16,800,800,800,501,502,805,502,503,501,503,128,649,500,503,504,679,800,504,500,649,649,504,502,800,800,218,501,504,282,502,501,502,502,649,800,503,282,503,501,649,501,503,500,446,588,502,501,800,501,501,502,503,500,16,500,501,697,649,500,501,649,500,500,500,282,502,500,800,649,502,501,300,649,282,500,480,649,649,502,503,902,800,501,849,503,800,649,649,500,649,501,16,800,800,502,800,987,845,389,800,883,16,405,649,282,504,502,800,501,500,649,503,697,869,500,800,503,649,502,649,503,501,282,500,503,500,501,742,502,501,500,502,800,502,14,500,502,501,857,140,800,203,800,500,800,500,649,117,503,567,502,502,500,649,649,502,503,503,180,649,501,842,282,800,501,500,502,503,500,807,649,282,282,282,800,502,500,452,282,500,649,282,800,282,501,107,16,502,800,502,500,649,500,282,502,649,502,502,501,107,503,502,504,501,501,800,501,282,503,501,502,903,501,16,501,282,500,649,501,502,502,649,16,502,159,502,501,503,502,584,503,102,800,502,501,502,503,282,800,649,649,502,800,500,501,500,282,502,649,500,500,800,500,649,800,302,503,282,500,502,800,500,503,649,503,500,800,501,501,500,501,503,503,800,503,500,500,282,16,501,649,887,282,502,107,539,16,800,500,486,800,503,500,502,500,649,282,503,16,501,800,649,448,500,502,282,367,504,502,502,500,89,840,914,219,800,800,500,282,800,800,500,501,503,501,501,502,974,503,501,502,502,800,502,649,800,282,502,800,503,501,649,649,502,503,649,800,44,282,800,502,800,282,500,501,501,789,16,800,295,502,501,282,502,16,501,500,503,503,282,503,807,282,16,502,16,503,503,503,286,649,500,503,800,649,282,502,369,800,288,800,649,282,800,501,502,885,649,503,649,502,649,649,502,282,899,501,898,502,500,503,816,18,781,800,16,500,705,500,800,800,502,564,649,16,501,132,800,500,399,935,282,649,283,503,500,503,502,649,282,503,500,800,649,800,880,501,707,33,800,710,649,800,501,500,500,504,502,328,502,547,995,16,649,503,503,800,503,282,649,502,282,501,195,501,500,886,649,107,501,251,503,649,503,282,860,649,501,502,800,503,16,501,16,502,800,800,282,649,500,16,651,282,501,501,800,649,503,649,107,503,503,649,501,503,502,502,649,504,649,648,501,501,501,503,502,800,986,503,649,800,199,649,726,503,501,500,649,91,502,503,16,502,649,78,501,649,502,108,649,506,830,503,501,800,501,800,649,500,500,649,502,757,800,800,282,501,503,649,649,649,500,501,649,800,500,503,223,502,500,151,502,501,282,649,502,649,437,649,107,502,800,503,501,502,503,800,800,502,282,940,800,503,649,500,282,500,500,16,282,502,100,16,500,800,649,800,500,649,423,502,500,201,502,800,649,500,501,800,503,500,649,500,503,16,649,500,500,500,800,503,649,500,16,385,502,705,103,503,500,282,800,502,16,500,503,503,800,503,649,501,503,503,800,531,503,103,503,649,800,800,502,478,500,501,649,649,501,800,107,502,649,502,704,107,649,282,303,800,503,282,503,502,282,501,500,800,502,503,800,649,83,500,649,502,16,501,502,500,111,282,59,502,504,502,500,649,800,16,504,282,503,501,800,19,502,500,501,500,500,503,800,501,503,282,501,502,84,800,500,408,482,741,322,501,282,649,502,502,503,500,107,427,800,166,502,503,501,282,649,649,500,503,501,502,503,504,282,649,796,649,503,946,503,800,649,128,501,649,502,500,502,500,16,561,800,503,282,501,800,501,649,503,500,503,501,649,142,649,213,619,503,282,501,909,501,503,500,502,741,942,408,649,649,502,800,502,800,501,574,503,500,501,500,500,462,967,501,800,800,282,429,800,800,502,503,649,221,502,501,500,504,800,502,501,800,16,500,282,800,649,282,502,282,649,500,501,500,800,503,282,503,282,800,501,16,502,500,501,282,502,991,800,502,503,502,500,649,281,503,500,501,501,501,78,503,500,649,502,56,502,649,502,503,501,800,503,501,649,878,520,503,368,500,16,649,502,282,500,282,800,649,492,282,502,41,503,649,800,502,501,800,502,502,800,649,501,501,501,502,503,503,500,501,485,500,16,502,503,282,502,503,800,282,503,103,649,500,503,502,500,503,16,500,500,500,749,154,500,800,503,282,500,466,503,501,356,800,800,500,501,501,800,503,502,501,501,649,501,107,649,780,501,502,282,649,321,785,83,504,800,502,503,503,501,800,500,800,649,649,649,501,649,241,502,501,501,504,649,503,502,800,503,282,501,504,282,754,16,225,969,282,502,282,501,501,502,16,800,500,282,504,502,800,501,500,500,500,800,501,503,649,500,503,501,800,649,649,16,425,800,501,503,787,444,649,159,502,554,16,503,800,500,503,649,800,380,503,501,282,502,504,282,282,282,800,501,800,800,800,909,850,502,800,502,649,282,649,501,800,503,501,500,500,503,503,500,199,503,503,501,78,503,500,502,502,800,282,500,500,500,649,502,649,307,502,282,503,418,282,500,500,649,500,282,705,501,502,100,503,500,503,501,649,649,503,800,500,502,800,649,502,282,503,503,133,649,501,649,502,649,503,501,800,16,503,500,103,214,500,800,649,501,503,649,800,502,16,16,800,503,502,503,501,500,760,501,282,501,501,504,502,800,649,502,16,501,58,503,502,500,800,282,502,501,504,500,500,500,501,282,502,649,500,503,282,500,501,156,504,501,502,500,501,500,103,502,800,502,500,503,500,270,503,503,800,649,500,800,502,16,649,649,377,502,649,500,649,501,503,649,795,282,189,502,800,649,503,501,501,898,358,502,71,16,503,501,503,120,501,282,504,501,282,649,681,649,501,501,649,501,501,503,800,503,282,800,503,503,649,503,282,501,282,500,800,282,282,983,503,294,800,282,502,800,935,500,502,501,501,282,649,500,503,800,501,502,503,649,847,500,800,500,649,500,502,780,500,800,501,649,500,619,502,649,500,649,800,800,207,103,502,649,649,16,501,501,800,503,676,795,500,501,438,501,502,503,501,927,282,103,649,491,282,501,503,800,501,282,649,649,501,571,649,503,852,361,16,14,502,282,501,503,501,727,503,16,501,503,16,800,649,55,282,649,503,968,282,282,282,502,500,800,800,800,502,501,16,500,500,500,502,500,501,618,16,266,649,501,500,503,282,649,800,503,503,500,386,16,649,282,501,800,503,503,502,503,649,500,500,649,501,164,800,832,502,504,800,501,282,503,800,364,502,502,501,500,501,503,501,649,502,800,649,502,503,501,649,800,502,500,800,501,503,800,501,503,500,503,649,649,649,800,107,495,503,503,16,501,282,501,719,501,503,501,503,501,501,863,503,503,649,503,500,502,190,800,501,501,67,568,501,442,501,500,729,649,800,502,107,800,282,649,501,501,800,850,103,501,66,855,503,503,649,503,672,674,503,66,649,800,432,501,649,16,503,649,800,501,503,501,649,500,800,52,500,800,500,649,500,502,502,502,800,501,800,500,501,649,991,151,502,204,500,282,48,503,500,502,500,500,501,500,649,800,776,649,500,16,502,649,649,16,651,503,502,649,448,107,800,502,84,501,800,649,503,503,707,282,332,504,502,495,808,503,282,503,503,830,502,800,282,800,501,503,282,540,103,561,161,502,503,500,502,88,500,501,501,501,199,181,800,649,500,501,695,800,628,622,296,500,979,649,503,503,502,501,502,501,503,565,502,501,107,210,649,500,800,500,502,503,800,500,502,503,501,715,503,282,282,800,503,502,502,501,282,208,502,503,503,500,501,282,501,649,500,649,282,500,634,503,500,800,503,800,501,649,671,500,501,800,800,503,501,501,500,502,282,282,500,282,502,16,282,261,501,649,500,500,371,853,500,649,503,282,800,800,800,500,932,501,500,500,649,800,16,660,649,403,476,16,800,800,503,502,649,503,501,649,800,282,649,503,305,649,503,500,501,800,501,649,16,504,500,502,502,282,800,135,649,649,800,500,295,502,282,320,282,649,997,503,16,282,661,16,800,500,466,818,282,649,501,448,282,16,503,501,502,649,282,500,427,350,500,16,500,502,289,503,649,503,107,282,504,800,503,501,800,500,503,282,966,649,904,501,503,502,503,503,649,501,501,500,500,502,501,502,500,649,800,800,503,502,800,649,503,501,500,800,649,282,501,282,107,501,501,501,16,282,503,501,503,451,502,800,19,503,500,500,502,649,503,502,649,500,272,16,16,308,800,502,86,500,649,800,501,394,502,800,500,800,288,649,286,182,649,502,800,503,16,800,501,800,649,800,502,502,649,649,503,502,501,649,503,502,501,800,502,282,502,107,502,500,503,282,800,500,55,617,503,500,501,502,691,500,800,500,500,502,503,501,500,800,800,501,500,649,928,954,502,503,800,502,502,649,841,50,501,649,503,503,502,501,501,282,503,502,501,501,502,16,500,502,784,649,415,502,502,500,501,501,503,16,112,502,800,800,501,649,800,503,503,500,649,502,504,502,282,503,501,502,143,800,501,501,767,502,899,502,282,503,501,282,503,501,800,649,301,649,649,502,500,800,258,501,502,282,503,502,501,850,649,800,649,500,800,649,502,501,503,42,800,500,107,503,649,649,500,500,649,16,503,501,777,107,501,502,800,503,16,501,502,800,501,800,543,501,800,800,502,501,97,501,282,500,503,649,502,282,501,503,70,649,649,16,503,502,800,800,502,500,649,500,421,502,501,256,501,501,800,502,502,186,800,800,501,502,501,501,800,16,282,16,649,649,503,501,500,800,500,467,503,501,36,800,500,502,503,942,896,503,282,800,502,16,627,800,501,282,501,502,500,16,649,965,649,501,503,649,501,502,502,502,649,649,800,649,501,800,503,282,500,649,500,652,503,800,800,503,501,800,502,800,503,502,500,504,501,649,500,503,500,539,282,800,500,500,502,503,502,501,800,503,859,282,800,983,770,503,500,800,501,520,503,800,502,649,500,500,503,502,502,649,500,282,649,649,800,330,282,503,800,503,918,800,502,800,503,501,649,649,500,502,452,925,501,807,502,800,282,501,282,500,428,482,298,171,502,502,503,500,800,800,503,649,649,649,502,501,970,503,503,502,834,504,800,501,634,164,511,501,800,500,501,502,502,800,282,502,649,502,282,649,502,5,649,800,501,502,501,921,501,649,501,503,502,649,500,649,502,500,503,495,500,500,502,502,501,502,800,800,282,449,503,502,649,500,501,103,649,502,800,503,500,800,500,501,47,501,800,800,282,800,500,500,800,501,503,800,345,500,103,502,103,436,502,500,800,502,503,800,800,313,502,502,501,649,500,376,800,500,649,503,502,501,282,443,649,16,501,649,500,503,800,502,502,501,661,282,503,16,649,908,503,800,503,800,501,502,502,501,282,500,502,500,503,428,502,503,419,500,811,930,500,501,16,502,500,800,649,500,649,500,503,282,16,271,501,501,13,649,503,503,800,500,309,502,800,503,500,501,501,189,502,501,500,500,649,502,502,500,503,503,501,800,800,500,503,649,649,503,501,649,503,504,6,501,500,501,800,501,501,800,502,503,503,503,502,500,500,800,502,503,500,501,500,413,500,800,251,502,812,502,502,282,501,500,500,502,502,282,649,503,282,622,503,503,800,800,282,501,649,800,800,502,855,649,103,649,649,800,800,503,503,649,800,503,502,500,504,501,501,649,66,502,503,950,4,503,417,649,107,282,307,500,500,282,493,195,503,502,502,520,236,502,199,500,800,800,282,503,282,379,502,503,282,649,503,501,500,649,441,503,503,800,649,502,503,282,503,16,16,816,502,504,649,500,501,649,649,995,502,501,500,800,608,90,503,275,500,501,501,800,501,502,500,440,502,501,501,107,649,501,16,500,649,282,503,848,502,282,16,103,800,16,649,502,800,503,500,800,500,503,705,800,482,503,649,500,800,503,977,597,52,502,16,503,800,503,517,501,649,649,669,800,500,500,649,777,502,80,850,401,503,581,500,500,503,800,503,503,503,500,282,501,502,649,503,501,800,649,502,501,800,500,503,502,501,649,455,501,500,500,486,172,500,502,16,16,501,282,800,282,178,800,501,649,501,103,503,501,502,649,502,504,502,503,503,16,501,800,501,800,800,503,503,649,502,501,503,282,503,800,503,649,502,649,520,674,103,800,503,800,649,501,28,649,501,16,503,500,502,16,502,501,800,500,800,500,154,501,800,500,282,649,16,503,500,649,800,502,800,107,649,501,649,500,649,502,503,503,503,16,502,503,500,503,502,501,501,800,501,503,501,501,649,502,503,502,649,502,805,800,502,503,649,501,800,500,800,772,282,367,502,502,442,282,649,800,800,649,800,500,504,502,501,800,502,502,649,501,500,501,649,179,502,649,509,500,282,502,800,800,107,649,649,502,503,800,649,503,800,800,800,500,286,282,503,503,503,649,502,502,282,800,501,503,705,649,502,503,500,800,16,502,503,501,500,500,800,649,705,502,649,554,501,500,502,502,282,649,800,502,279,625,502,800,502,501,800,501,501,857,502,800,502,16,501,800,16,501,649,500,282,501,282,649,282,500,500,501,800,501,501,800,501,800,649,501,649,500,501,649,503,504,937,800,813,16,502,501,500,71,649,800,502,649,59,503,282,282,500,502,649,500,500,282,800,649,282,16,16,500,501,501,503,649,386,800,500,282,649,649,500,502,502,258,500,331,649,503,295,333,649,501,503,800,282,502,503,502,500,503,244,500,500,800,649,649,649,926,502,800,282,800,502,649,800,500,501,282,500,415,282,328,649,501,282,500,282,649,500,22,649,500,503,502,230,649,500,800,500,649,896,501,502,649,501,503,282,500,500,442,504,503,16,649,282,16,502,502,502,282,501,501,700,649,783,304,800,649,649,649,16,503,500,649,529,503,649,16,501,107,500,770,529,501,500,501,649,503,46,45,649,800,333,800,877,282,502,282,649,501,503,502,800,608,800,282,502,500,500,649,282,502,800,500,103,501,502,500,800,103,504,282,282,649,30,503,500,649,502,807,502,649,503,502,502,501,800,282,107,503,800,282,501,649,24,282,649,501,649,501,649,649,461,502,500,503,319,441,800,503,16,800,410,800,800,649,502,503,282,282,503,500,381,649,500,501,621,649,503,649,649,503,180,282,282,502,501,500,503,502,800,502,800,502,500,501,649,649,502,502,800,501,228,847,800,500,800,16,649,649,503,503,502,502,503,500,500,800,503,107,502,503,562,103,502,501,649,800,500,500,800,503,649,501,503,146,649,500,502,649,649,800,16,503,502,800,16,501,16,649,24,800,282,713,649,649,800,591,282,16,649,16,502,501,502,282,500,312,649,503,800,501,107,649,500,649,800,16,501,282,107,502,501,503,501,819,16,501,501,118,282,501,500,800,501,282,502,282,649,502,649,651,501,501,800,552,550,500,501,500,502,500,16,649,502,866,877,16,800,503,500,800,502,500,649,502,500,800,800,194,800,500,16,501,282,500,499,500,800,502,800,215,337,503,800,649,501,502,649,800,500,501,502,649,649,500,504,800,501,282,942,446,800,649,282,501,501,649,502,503,501,535,500,147,649,649,501,502,649,503,164,500,800,987,503,503,649,282,141,501,282,649,649,500,800,649,800,500,483,27,501,324,800,649,500,504,501,521,387,649,473,814,107,800,649,800,503,800,972,649,502,503,800,494,649,649,500,500,192,649,502,500,503,282,500,503,16,502,282,649,502,502,649,502,502,501,500,838,501,500,503,503,649,800,502,649,503,501,282,503,107,282,649,443,503,501,501,501,501,16,800,800,800,500,800,503,501,500,501,503,649,445,501,502,107,502,502,16,649,502,800,171,502,503,649,800,472,502,853,503,501,383,107,503,282,649,501,292,731,503,500,16,649,649,649,500,800,502,282,502,282,501,501,282,800,500,502,800,500,501,800,800,800,800,626,282,16,666,800,800,800,800,649,649,705,502,649,500,16,501,538,649,501,283,502,500,500,502,501,649,581,282,502,500,800,502,500,500,503,16,282,934,501,501,501,504,800,649,649,502,649,502,501,800,649,282,16,800,649,800,503,910,649,649,282,501,504,500,500,503,285,503,503,800,362,505,503,500,267,500,282,503,260,501,649,800,800,649,649,501,800,503,504,352,502,500,649,501,482,501,500,844,649,492,500,501,672,282,503,649,501,500,649,501,16,501,504,503,502,649,16,800,502,503,293,501,502,649,708,502,502,500,649,501,501,649,16,500,502,649,501,649,500,500,502,501,503,340,800,500,503,502,503,502,649,800,500,501,504,501,282,802,800,649,504,800,644,503,500,142,282,500,282,503,501,282,501,64,502,16,500,501,800,649,500,500,649,502,800,503,500,360,103,502,503,649,800,948,500,501,16,16,501,500,800,501,502,503,500,500,500,282,652,502,282,649,649,800,800,800,500,501,503,502,899,649,503,807,503,800,800,504,502,54,351,501,282,800,500,222,503,500,501,503,502,500,501,503,500,501,426,502,503,283,503,775,501,500,502,500,501,501,503,501,503,515,511,502,649,501,649,500,806,800,501,603,236,503,800,500,649,503,740,503,503,502,502,500,500,16,649,502,503,502,16,362,948,649,649,500,800,649,502,503,503,502,502,502,502,503,800,502,503,501,800,500,45,774,503,502,501,501,501,649,500,800,501,649,282,649,649,500,502,500,500,501,500,503,282,282,503,503,800,649,800,501,800,281,503,501,649,980,503,503,948,503,16,503,503,504,649,649,282,504,649,500,282,282,649,503,500,81,800,502,504,981,521,705,800,816,649,800,800,800,503,501,501,503,501,454,282,649,649,649,503,649,501,502,503,502,649,649,800,502,503,501,823,649,502,539,501,503,800,502,500,503,503,800,503,502,800,501,800,500,564,500,503,500,561,502,800,199,502,503,16,501,503,500,503,500,501,500,503,501,649,503,502,649,503,501,500,965,800,503,504,502,970,800,503,501,500,290,16,500,500,502,501,460,800,502,500,501,881,800,503,800,649,282,282,503,501,800,800,512,282,800,282,503,800,282,500,282,694,501,503,501,800,503,503,502,501,500,800,49,501,649,161,649,649,649,501,800,16,282,800,282,649,503,987,649,500,175,800,501,800,932,501,649,800,282,503,800,502,503,501,502,16,501,500,800,503,503,501,649,501,501,808,500,800,927,501,501,500,73,500,501,16,800,800,502,56,232,503,501,502,801,96,501,800,502,16,502,282,723,649,649,503,502,500,282,282,800,800,500,103,459,502,800,500,800,500,503,503,503,501,282,503,122,502,500,800,503,800,501,503,501,807,254,502,503,282,502,501,8,503,282,503,578,649,502,502,503,502,500,501,503,501,501,743,501,503,16,649,649,282,649,502,501,502,502,649,282,800,282,103,409,282,502,16,282,679,800,899,868,500,211,979,800,800,40,649,800,503,282,107,16,649,503,501,649,502,794,544,800,800,501,503,503,282,503,16,500,500,293,501,282,649,500,800,282,16,800,282,501,800,649,503,502,500,504,502,500,855,500,466,501,502,503,500,800,800,503,501,502,502,107,282,282,500,500,502,649,503,500,800,502,282,770,502,800,502,503,649,800,503,502,649,503,501,800,800,282,603,500,501,502,502,502,501,500,800,649,502,928,16,800,502,239,500,488,502,649,502,800,800,502,799,800,800,502,503,501,387,503,502,502,502,503,501,501,800,649,26,500,649,500,501,800,503,800,16,800,282,874,500,800,16,282,502,649,800,500,649,107,502,649,16,500,503,800,649,500,502,649,649,503,100,649,502,502,746,107,503,500,581,40,918,500,649,568,503,800,800,500,800,282,174,500,503,16,502,107,800,503,502,282,589,800,564,501,817,649,800,468,503,500,500,500,503,991,282,502,503,282,230,504,649,800,500,649,649,500,282,503,502,501,649,103,504,282,800,500,503,282,649,18,16,138,502,502,501,649,16,649,800,649,501,503,282,503,503,800,282,503,502,649,502,501,649,282,502,500,503,800,503,782,282,989,800,502,503,500,649,501,503,501,800,501,803,625,502,800,800,800,800,16,502,484,649,807,501,649,501,800,502,501,649,16,649,800,501,807,503,500,515,649,649,501,800,502,800,800,501,649,500,378,501,500,649,649,800,800,503,282,503,503,95,649,501,502,500,500,800,144,503,800,280,649,800,282,503,282,503,501,107,282,649,800,501,282,500,500,501,500,800,800,282,738,940,504,442,502,80,502,649,503,16,503,501,500,503,647,800,768,950,502,502,649,282,500,107,500,503,503,502,501,671,501,503,16,502,557,800,800,502,503,500,500,502,800,502,197,501,502,800,501,501,649,147,501,502,500,500,168,649,282,649,649,282,800,502,501,500,501,800,282,501,501,503,107,500,501,282,502,649,358,649,59,502,800,649,800,500,500,649,649,258,649,500,679,503,502,501,503,800,800,800,503,501,282,775,800,649,500,502,16,501,800,503,503,800,502,649,297,10,500,800,503,649,483,750,909,282,800,502,500,502,282,503,649,501,282,1000,502,501,282,502,503,502,501,501,500,502,800,489,649,503,503,282,500,501,502,87,501,503,282,503,502,502,858,500,504,503,800,968,800,282,259,502,282,282,503,501,501,282,500,649,800,502,503,765,282,649,649,649,849,282,500,502,504,502,800,503,501,500,501,16,501,800,501,501,502,649,503,501,503,503,503,501,502,800,674,500,282,259,800,502,500,800,502,501,501,500,282,502,962,282,800,501,649,503,282,503,800,501,503,401,503,16,800,503,656,800,503,500,800,917,501,502,282,282,852,501,502,282,501,532,953,649,47,800,551,503,282,649,888,800,502,504,501,501,649,503,800,502,504,501,800,210,649,502,500,800,800,305,500,502,502,649,502,501,503,282,282,502,503,649,136,312,649,503,502,502,500,500,501,502,502,503,501,502,225,649,501,501,503,649,502,224,503,800,502,913,800,503,282,649,282,500,167,282,501,282,688,649,502,649,282,800,501,500,501,500,800,503,800,800,501,670,503,502,800,16,162,649,649,503,503,800,502,500,503,500,800,501,500,238,70,800,800,800,800,501,649,503,800,503,800,503,504,844,800,658,500,783,503,282,503,823,500,282,800,503,501,502,500,16,282,836,503,649,16,376,16,501,38,503,501,503,800,649,502,649,282,500,649,800,501,649,649,479,649,503,649,500,503,502,502,800,503,503,503,503,501,696,800,503,649,649,503,282,800,16,282,503,504,503,649,800,501,649,649,503,800,16,800,500,800,503,758,500,282,649,800,873,502,282,649,503,501,16,500,800,503,482,501,503,649,800,649,218,500,502,817,872,649,500,800,502,16,501,503,800,649,16,502,282,800,502,800,502,858,649,800,503,502,282,502,502,800,649,64,503,500,800,800,651,502,16,501,796,502,649,500,459,649,500,502,501,963,503,501,282,800,965,501,502,649,800,800,107,800,503,629,503,16,649,500,502,501,502,501,282,501,800,503,800,180,649,500,649,501,501,800,500,501,500,968,649,649,282,393,800,500,502,16,500,500,649,501,502,16,800,282,631,501,649,502,501,800,502,649,503,500,501,501,501,282,800,500,135,502,16,500,649,501,503,800,503,501,12,649,299,800,800,481,516,16,800,107,16,501,502,500,649,503,649,282,257,649,649,649,649,501,502,95,938,778,800,649,107,500,282,503,16,502,762,649,501,502,7,282,502,500,504,503,502,800,503,738,500,501,800,282,504,649,502,952,502,502,500,501,526,649,282,276,649,501,504,500,725,501,800,800,800,932,649,502,800,501,503,501,501,649,503,475,501,282,282,504,500,501,107,500,502,501,500,177,503,800,503,800,282,503,503,503,282,800,502,649,503,649,500,593,503,500,500,502,649,501,800,800,503,500,282,501,800,800,800,800,501,282,502,670,649,503,504,500,800,503,501,282,501,501,649,502,501,454,649,649,800,319,503,659,501,500,430,500,16,502,830,649,502,649,504,800,623,500,500,800,649,502,501,747,649,282,500,500,504,501,503,503,282,282,800,800,500,500,500,503,800,502,290,282,282,500,649,282,981,282,800,502,503,501,501,107,649,800,649,235,800,501,16,649,282,107,800,500,500,649,800,503,807,503,502,503,502,502,16,800,282,527,500,800,67,800,282,800,500,872,501,743,501,500,501,282,503,501,503,800,500,800,500,502,649,503,649,501,500,502,503,501,282,739,503,504,282,502,800,503,500,649,502,503,800,587,502,501,501,500,501,649,501,500,800,500,800,16,282,500,500,800,500,501,649,894,500,502,800,500,503,649,282,500,502,787,800,501,800,103,500,500,503,800,649,200,501,502,501,501,501,503,282,501,282,500,282,803,282,503,502,649,501,501,503,649,468,649,501,800,501,502,501,501,649,502,501,819,394,649,649,282,502,501,100,282,282,502,800,772,502,503,649,585,500,501,503,504,503,502,500,500,500,282,501,501,500,649,501,501,500,703,800,256,500,800,820,649,502,501,502,649,500,503,282,649,734,800,501,103,503,503,649,930,501,502,282,857,501,503,800,501,800,800,501,800,501,503,500,501,501,502,502,503,282,503,800,800,649,503,450,107,649,500,502,501,504,689,800,500,649,500,107,649,800,502,504,502,282,500,503,282,493,282,800,502,501,282,501,500,501,800,503,503,42,40,502,282,503,503,501,649,800,502,501,649,9,502,500,16,502,800,800,502,502,503,649,502,500,502,649,800,503,649,503,224,649,503,203,502,501,503,503,502,503,504,500,649,501,504,282,649,649,503,16,282,501,282,649,48,326,282,442,282,500,500,282,282,500,504,503,208,16,500,421,502,501,500,800,440,501,501,895,253,501,501,16,502,502,503,649,649,503,502,800,800,282,502,501,800,800,500,800,800,500,501,800,649,649,282,800,466,502,649,779,800,649,500,504,282,800,16,649,219,502,800,649,500,503,826,501,800,649,501,800,502,501,282,503,854,236,282,501,502,502,649,501,649,503,800,502,503,750,503,649,282,503,502,649,800,503,758,503,503,501,800,800,500,503,800,503,107,16,502,924,649,800,800,800,282,501,800,649,649,500,501,501,501,800,502,501,502,503,500,496,649,501,198,282,103,503,16,501,800,503,282,16,502,501,502,649,501,500,500,500,800,502,503,503,502,501,501,955,501,800,649,107,800,502,649,16,504,800,971,800,649,504,436,282,282,503,500,502,16,501,800,501,282,649,500,502,500,103,649,503,500,740,649,282,500,502,282,800,229,649,787,501,500,500,282,649,282,502,503,914,800,503,503,757,503,502,501,503,649,800,503,800,800,501,501,500,800,282,282,282,107,800,649,503,649,501,649,502,282,500,491,503,214,800,800,501,502,649,464,800,800,649,649,800,502,503,649,502,282,577,502,16,503,500,503,953,500,502,500,502,500,16,800,501,118,103,503,500,500,501,500,503,571,502,504,649,580,501,502,501,500,503,503,800,501,800,503,500,503,800,502,800,282,649,987,107,16,501,500,502,649,176,282,800,282,502,501,649,503,800,282,79,503,16,503,282,358,23,410,502,503,501,800,503,705,501,649,503,502,500,503,503,16,503,800,649,503,649,190,800,500,501,800,282,502,503,800,649,649,500,16,649,502,500,16,16,282,500,649,800,502,649,800,501,503,995,16,495,282,500,504,649,273,638,503,501,501,282,649,503,502,800,282,503,503,282,800,500,500,503,649,649,800,649,501,501,649,107,503,649,668,502,501,500,503,501,500,103,649,800,503,501,500,502,649,812,649,58,649,649,800,103,508,800,501,502,649,926,800,800,503,502,503,282,282,501,649,800,502,503,503,649,282,503,500,649,282,282,800,504,501,503,502,282,649,501,503,282,282,503,501,800,500,800,503,501,503,503,800,500,722,502,633,500,800,501,501,500,502,500,995,500,503,464,255,649,503,565,500,282,710,503,502,282,800,800,502,926,502,800,282,152,501,502,282,16,738,502,282,800,503,503,238,869,501,504,502,503,503,501,500,504,503,502,503,501,160,503,800,501,500,800,502,501,800,282,503,503,503,423,722,501,502,649,282,16,649,500,500,501,649,500,404,504,649,800,500,26,16,500,500,107,925,649,500,501,282,501,282,503,501,502,502,501,502,282,503,800,649,504,500,503,649,20,875,800,649,649,282,500,501,865,501,649,502,800,800,800,800,542,205,501,503,16,501,16,500,143,503,282,503,282,501,282,432,649,800,16,649,649,500,16,16,800,503,16,649,504,503,501,503,502,282,502,549,649,502,828,600,800,649,649,649,800,282,800,502,500,537,800,282,501,641,800,500,500,502,800,500,502,649,502,649,800,649,649,502,500,501,743,649,800,503,800,330,500,40,219,800,501,502,800,502,800,502,282,282,502,800,503,501,503,501,500,502,502,502,800,16,16,501,500,500,649,282,501,518,501,502,503,501,649,501,502,503,501,649,500,103,500,19,502,502,502,800,807,503,501,503,649,502,502,501,649,500,503,800,800,800,800,501,282,282,503,502,800,501,13,649,504,500,504,649,502,649,500,501,502,503,800,800,501,514,502,502,502,649,503,501,502,16,500,501,503,501,504,503,501,501,502,502,501,502,500,503,502,503,669,502,501,501,107,800,800,500,107,946,29,501,500,36,502,107,800,502,500,503,502,503,13,501,502,800,500,500,282,500,800,502,501,502,282,654,500,502,649,800,500,500,649,454,501,763,503,649,503,503,733,502,500,502,524,800,282,501,282,500,503,800,282,649,800,649,504,649,501,57,503,503,502,503,500,16,103,800,502,501,881,502,800,503,649,800,501,800,649,503,503,500,502,500,649,501,282,501,800,501,503,506,502,800,282,501,501,502,503,282,500,282,503,501,331,500,503,502,16,501,800,103,649,649,501,734,501,691,687,500,618,515,503,649,501,501,800,124,800,503,800,100,502,501,502,501,103,502,800,503,800,503,800,500,500,649,649,800,800,501,95,16,503,282,504,502,282,503,502,501,24,500,502,501,16,500,503,501,800,282,500,800,282,500,500,500,500,503,649,501,791,501,282,501,649,500,386,500,800,501,503,649,500,800,649,503,107,800,800,503,501,448,503,800,785,282,501,503,501,501,242,649,800,282,501,864,502,501,800,649,800,501,282,501,500,282,500,500,500,501,500,282,503,282,855,649,501,500,16,107,424,649,209,501,282,502,649,800,312,619,503,504,501,649,222,502,503,500,800,649,501,800,800,500,503,502,800,282,649,800,352,649,503,503,503,502,282,282,649,890,503,800,502,503,501,16,501,705,500,282,16,282,821,500,649,282,163,502,517,502,649,800,503,800,16,501,502,282,500,502,500,500,503,370,800,502,502,649,501,622,502,502,502,503,501,503,501,502,649,501,282,502,16,502,504,502,800,500,282,501,501,800,502,503,502,16,500,504,503,649,649,500,500,649,503,500,503,649,282,16,103,500,800,16,488,649,500,649,429,500,649,649,800,501,649,503,501,501,800,800,282,649,800,282,800,502,649,800,504,282,16,420,501,368,649,500,504,502,800,500,282,649,503,501,500,800,503,282,504,800,500,501,283,502,800,503,807,16,800,502,16,503,649,764,282,500,282,16,649,502,190,502,500,649,423,282,500,800,500,503,649,649,502,649,282,800,318,504,800,149,649,430,800,649,805,501,800,503,767,649,282,501,501,502,503,501,107,282,800,501,503,649,503,649,800,327,501,502,502,503,500,501,649,800,649,386,800,504,500,500,500,282,147,500,800,500,501,649,501,649,503,504,502,800,502,501,503,500,502,800,501,502,501,800,904,501,500,282,501,501,501,502,501,982,500,502,103,501,901,502,282,16,503,17,501,849,500,502,501,502,502,800,501,502,800,349,502,282,16,282,888,500,282,16,36,503,501,649,503,501,268,503,649,649,502,800,800,282,800,501,503,282,503,282,501,994,16,503,890,501,501,949,500,800,502,500,503,649,500,223,282,500,503,988,500,649,501,800,924,501,870,501,649,800,331,500,649,502,503,503,646,500,800,705,500,775,691,500,503,500,282,341,501,501,500,190,704,649,501,239,649,503,800,800,649,500,649,649,503,649,500,159,107,16,503,503,800,502,501,800,779,501,649,649,503,502,336,800,988,282,800,502,800,504,82,503,800,800,501,501,500,501,800,503,800,649,500,502,649,501,223,649,502,501,800,503,502,800,505,649,503,503,500,501,500,500,501,603,500,437,501,503,798,282,500,610,800,800,282,649,282,16,282,503,503,503,500,800,324,649,501,282,503,500,649,503,649,800,502,649,503,800,800,501,800,500,503,16,800,503,16,649,503,502,503,500,800,800,800,502,501,502,502,800,993,502,502,640,500,649,501,589,649,500,502,501,501,501,649,501,649,502,503,800,501,649,591,800,500,501,282,502,503,501,282,503,16,717,818,800,105,502,503,282,800,366,502,649,282,800,282,296,502,502,432,281,282,503,500,501,800,503,500,649,649,503,16,503,501,502,841,649,503,778,502,500,504,500,500,16,501,500,800,800,503,649,502,355,502,408,649,502,501,16,649,503,504,503,282,501,666,649,500,286,504,500,649,800,503,500,502,503,502,501,800,501,502,649,649,649,649,503,502,282,727,502,649,93,649,107,500,282,800,502,800,501,501,503,502,502,16,649,800,503,502,500,364,503,503,504,501,502,649,294,359,501,500,800,649,800,500,170,502,502,502,501,502,282,800,503,500,500,16,503,649,800,649,800,501,500,773,501,282,188,654,500,784,503,502,503,16,503,503,504,502,503,107,800,501,500,503,502,501,649,502,101,705,503,500,482,800,503,800,282,649,649,282,500,649,649,306,649,357,501,649,393,503,899,16,503,55,649,503,16,501,502,649,503,503,501,503,649,501,111,800,800,500,503,800,282,16,500,107,502,649,649,501,500,235,149,649,800,500,503,502,800,990,800,649,705,503,534,501,800,503,501,655,502,830,282,500,57,502,800,800,586,714,800,500,282,502,501,800,501,649,503,501,649,500,503,502,649,501,282,501,502,800,800,501,502,649,503,501,502,649,126,649,282,502,503,503,649,503,500,91,755,503,802,500,649,500,501,649,649,686,500,609,119,800,649,503,503,282,502,649,649,649,800,282,800,282,500,649,800,800,282,800,800,649,702,503,501,282,502,649,649,833,500,503,500,500,16,501,482,503,503,504,220,649,503,281,649,501,502,282,501,785,282,504,503,503,649,503,800,282,362,282,525,500,16,502,500,800,501,502,501,282,502,502,503,503,800,503,502,501,500,274,501,282,282,500,649,503,502,649,501,503,800,501,282,502,501,800,282,501,502,503,500,649,649,649,338,502,800,649,649,501,800,243,16,29,501,800,501,16,500,955,501,503,800,800,259,503,501,502,500,502,504,502,501,800,649,800,649,649,308,502,502,501,504,501,649,501,649,313,331,649,649,282,979,649,649,16,578,282,500,800,649,502,504,282,671,16,649,800,103,502,572,500,503,649,16,800,503,501,503,500,800,884,800,800,282,500,761,504,501,800,282,504,504,649,649,292,503,501,567,502,282,649,501,204,770,501,500,500,502,649,503,502,500,503,500,800,649,649,762,502,649,858,649,232,968,800,503,500,171,800,501,662,502,500,800,501,501,800,282,282,197,800,800,800,503,501,501,503,503,800,500,649,503,826,649,503,869,16,649,806,649,503,500,282,800,500,500,502,501,556,502,500,500,649,16,282,502,649,500,800,532,103,502,502,649,501,501,501,16,502,504,16,503,501,500,503,750,502,503,282,649,16,649,503,501,503,501,377,503,500,501,503,282,282,502,501,501,501,923,503,649,800,649,282,649,158,500,501,726,649,282,501,713,501,500,503,503,620,649,649,210,282,649,282,388,503,383,800,502,912,503,649,282,800,935,282,503,172,501,500,502,501,110,501,153,500,800,503,282,282,502,800,503,282,800,501,649,800,649,500,501,649,502,532,503,900,16,649,500,500,800,503,800,501,501,800,502,502,501,282,649,500,335,649,800,500,500,500,282,128,649,282,502,503,501,503,503,282,868,500,800,555,502,649,500,503,800,800,501,502,590,501,202,282,500,800,800,649,502,503,503,5,140,500,500,741,800,800,867,282,503,503,780,649,649,764,800,649,500,649,502,649,502,800,501,500,800,500,940,500,103,107,78,649,500,800,649,282,649,502,502,501,649,649,502,282,500,502,502,282,282,502,376,503,503,500,282,502,800,501,673,500,501,649,504,503,282,282,282,503,368,649,503,649,359,282,649,282,757,502,649,282,418,800,282,16,502,502,649,152,800,800,501,503,475,924,502,649,16,503,502,504,521,500,688,502,282,500,503,800,501,501,503,502,501,800,503,927,800,504,500,502,500,282,501,500,500,103,16,649,800,732,649,502,800,649,500,649,649,16,601,503,502,100,800,501,500,503,501,503,501,500,649,501,500,503,501,503,649,282,500,175,501,876,503,501,442,649,500,500,501,649,502,500,500,530,800,705,471,500,502,649,800,501,649,502,500,800,800,501,503,502,503,649,800,649,649,503,159,16,502,503,800,649,501,502,800,649,649,649,768,263,189,649,800,649,503,501,744,501,480,500,503,337,649,649,956,503,649,938,502,649,16,502,500,187,503,502,501,501,502,500,503,649,800,500,800,541,500,501,504,503,800,649,502,800,379,649,502,10,196,649,503,649,503,282,502,502,888,16,500,503,503,503,800,500,16,282,800,501,503,501,501,501,16,503,66,683,502,233,282,649,503,502,800,121,800,649,500,502,811,649,501,649,502,502,502,282,280,282,282,500,504,800,800,800,502,16,500,500,503,502,502,996,502,800,500,424,16,850,649,649,800,501,503,501,500,500,501,259,502,500,502,501,649,800,649,502,500,502,501,16,823,502,504,500,16,16,282,501,649,501,501,649,800,501,565,649,282,800,503,2,649,800,649,16,282,460,503,180,503,649,649,969,649,502,501,16,800,503,504,504,503,502,500,503,282,503,503,500,800,800,282,649,649,501,501,501,205,705,649,502,502,501,501,501,800,467,252,800,501,504,502,500,649,800,504,503,503,502,800,649,800,500,501,501,16,502,501,501,16,503,501,114,800,649,500,503,786,327,501,712,16,800,500,500,800,500,501,504,800,502,282,502,800,800,282,503,310,500,511,503,500,800,800,649,500,501,649,501,503,649,433,502,500,800,649,502,649,500,769,502,503,501,594,282,348,503,16,503,503,502,501,800,644,503,501,502,500,800,376,502,503,500,501,649,502,500,800,502,501,649,503,503,502,503,591,503,800,649,649,500,500,503,800,800,501,503,649,501,574,502,16,501,800,503,501,500,973,500,502,504,500,501,502,500,502,500,600,649,16,800,649,503,800,503,503,503,707,500,502,500,649,503,500,500,649,500,501,500,502,503,800,731,502,282,649,502,649,649,501,501,282,500,500,649,503,282,800,503,503,936,649,500,994,501,502,807,800,456,282,501,502,502,103,649,502,705,500,500,501,503,501,501,282,500,504,502,107,800,820,800,16,502,500,652,649,282,649,282,504,556,500,800,502,501,16,548,800,500,503,500,800,500,500,16,800,800,502,282,502,649,800,503,503,500,502,501,649,503,649,500,502,500,504,503,649,649,501,502,649,502,16,800,800,503,503,649,503,103,500,282,502,493,502,500,239,501,15,502,16,282,500,649,501,503,500,649,800,503,267,282,500,502,500,800,502,501,500,500,800,649,16,503,798,649,16,649,800,502,282,500,415,107,501,282,475,502,501,500,800,800,500,501,500,758,833,107,282,501,503,649,501,282,504,501,500,502,649,800,631,502,500,502,502,335,800,500,501,16,800,503,800,502,503,649,800,500,800,502,502,800,800,536,800,282,349,500,649,54,500,502,981,500,800,500,376,500,110,503,649,503,503,503,649,649,501,502,501,503,800,103,501,860,502,501,551,500,501,649,649,500,500,502,501,501,504,502,501,500,649,500,501,649,501,503,501,649,282,649,504,501,649,503,501,500,501,649,671,501,502,500,501,501,800,501,500,502,501,282,800,16,737,503,607,502,813,503,502,649,501,501,503,501,503,504,500,282,649,282,800,282,282,504,500,154,502,800,500,800,800,752,502,802,800,282,800,829,649,501,503,977,503,211,16,504,500,282,501,649,800,501,282,649,169,800,503,503,649,800,369,501,501,411,500,503,501,503,800,500,502,501,504,282,649,503,504,500,501,501,501,649,282,649,501,500,282,502,294,455,16,649,107,282,501,800,140,503,502,282,649,501,503,503,502,725,649,503,996,502,500,649,649,479,503,503,649,502,500,800,162,800,16,503,649,800,800,649,975,501,282,500,500,500,809,501,503,649,282,800,501,809,502,649,501,800,502,12,500,503,503,800,800,503,500,649,501,501,282,800,504,503,503,649,501,503,649,800,500,502,500,312,649,501,500,800,16,649,501,502,502,501,272,501,697,500,501,501,501,778,800,384,501,282,502,502,16,500,974,501,503,700,649,503,502,503,800,800,16,500,800,975,503,500,649,500,502,502,502,501,502,282,649,503,474,502,649,502,502,649,282,503,500,503,502,500,800,649,800,501,677,500,502,502,501,800,502,435,649,282,502,686,282,500,649,282,503,649,800,800,502,649,800,686,800,503,934,501,800,501,503,649,649,501,649,282,503,503,503,16,520,500,503,503,745,502,800,649,503,502,282,16,800,500,502,282,800,500,800,800,800,501,501,503,503,503,500,502,501,500,800,800,800,503,500,504,749,649,800,503,649,500,503,712,500,503,502,689,649,283,503,503,503,282,764,800,282,501,500,282,475,501,503,501,503,501,500,503,500,500,282,502,800,680,500,502,503,500,500,501,503,502,800,649,502,649,501,502,501,502,502,504,502,16,800,504,500,501,800,502,800,941,501,501,103,501,649,501,800,501,500,649,502,649,503,500,649,865,500,501,501,503,503,501,800,502,863,649,282,107,502,501,649,649,502,649,500,282,649,675,502,500,502,666,501,79,800,501,800,502,502,501,649,501,800,800,175,503,282,503,904,502,502,500,503,320,282,175,649,107,157,40,62,502,500,800,649,500,500,649,502,800,503,500,16,503,501,649,501,503,282,16,501,800,107,504,800,107,500,649,554,177,439,503,500,99,800,500,282,649,649,502,282,800,500,503,502,649,282,800,800,800,16,503,501,503,705,503,16,501,282,282,500,500,636,649,800,649,500,678,500,282,502,282,503,502,504,800,282,800,501,901,246,503,649,502,500,502,649,500,103,501,639,649,16,385,502,282,649,503,501,503,503,48,500,503,503,501,503,500,16,282,742,800,383,501,282,800,500,504,502,800,500,117,503,649,503,502,649,649,500,649,649,503,16,649,500,502,800,16,500,502,503,503,501,649,502,500,501,503,502,502,800,503,501,649,800,800,500,800,501,500,502,282,879,503,107,500,503,503,649,623,282,500,649,500,800,649,243,504,649,16,501,282,800,649,504,800,502,288,503,649,503,503,348,503,503,501,502,503,503,610,649,503,282,800,107,500,649,649,503,500,502,649,503,502,649,649,649,500,502,891,504,800,501,16,800,282,503,800,649,800,502,800,502,800,503,16,165,502,649,649,500,16,502,819,16,503,800,502,503,800,503,503,800,501,649,503,501,282,282,649,502,800,649,800,502,503,501,282,649,171,649,502,74,800,800,922,502,649,500,501,502,246,649,502,282,502,502,649,110,500,500,282,649,501,500,649,502,502,502,500,649,800,502,16,500,649,501,282,500,800,500,16,503,800,503,649,756,500,502,800,500,502,500,615,16,502,649,88,649,649,207,502,282,649,153,500,649,800,503,910,16,502,377,16,800,502,500,502,649,791,807,501,649,503,502,501,451,282,501,502,500,501,501,500,16,649,501,649,16,501,282,649,501,649,620,503,503,502,502,436,501,916,502,502,500,500,502,239,504,503,502,649,282,503,502,649,501,649,500,500,500,227,500,649,16,800,503,503,649,12,16,502,500,502,282,649,501,282,503,500,16,501,503,649,800,501,800,649,649,282,501,800,649,16,107,503,800,649,501,500,16,502,501,500,282,649,502,282,282,501,16,503,500,502,16,282,500,500,800,282,500,800,503,813,800,649,800,500,503,800,335,633,500,503,649,873,500,16,500,500,800,502,649,282,500,800,502,501,502,501,649,649,246,503,476,103,649,501,282,501,502,649,503,501,500,502,501,500,503,501,738,500,503,502,503,502,503,503,800,502,501,671,649,458,502,502,500,500,501,649,282,340,65,424,282,500,532,501,501,502,501,486,500,500,282,800,500,502,363,107,503,282,800,501,501,282,800,800,501,500,649,500,227,502,500,649,649,598,503,800,503,500,502,503,503,800,282,503,842,649,502,500,62,504,500,800,500,800,501,649,502,282,649,846,501,800,460,16,502,502,811,135,502,800,500,649,190,600,502,502,501,502,501,310,800,502,800,649,500,705,649,800,500,500,501,502,501,649,502,800,500,503,501,500,45,500,502,500,753,800,504,46,502,500,502,502,500,800,503,503,671,800,649,500,503,502,282,500,282,649,503,649,800,705,501,502,603,503,503,501,503,502,800,649,502,500,282,649,800,501,503,649,649,800,800,800,502,107,501,502,502,502,282,500,282,501,629,503,800,503,649,872,500,502,501,503,502,282,649,366,352,282,528,800,800,501,503,501,501,282,500,649,500,649,550,500,500,649,502,501,501,800,502,502,649,501,215,502,503,282,503,831,500,503,800,504,649,504,501,800,503,800,301,504,103,800,649,503,504,800,352,800,561,800,649,800,501,448,73,649,649,502,800,654,800,963,501,502,622,500,282,503,282,529,282,501,503,501,282,649,500,282,800,500,800,91,800,501,500,800,503,800,800,800,697,819,649,504,502,800,504,502,501,503,500,500,925,16,502,503,503,503,503,501,502,472,800,649,501,649,800,503,805,501,800,502,501,282,282,282,800,502,649,649,503,503,504,282,503,501,282,282,631,500,500,38,575,807,247,502,500,800,649,502,503,16,500,502,500,875,649,503,500,500,649,503,500,649,649,369,542,502,503,800,501,503,500,649,400,800,800,502,503,800,757,503,503,800,500,501,504,502,500,501,502,462,649,800,500,282,503,16,649,502,649,500,282,503,800,503,501,800,503,103,649,4,449,800,501,502,282,502,16,23,500,800,501,800,649,107,649,503,643,500,649,501,16,501,503,649,525,501,439,502,773,800,502,503,282,39,503,503,503,500,103,502,475,800,501,502,504,649,501,500,503,500,501,503,501,647,501,800,500,790,503,649,500,500,502,503,118,580,807,500,501,649,501,500,28,467,800,649,501,800,501,800,501,501,502,722,34,649,502,370,501,16,635,501,503,501,500,502,800,649,649,649,502,800,800,502,649,800,500,503,500,349,503,502,154,502,898,649,502,282,649,942,502,501,52,500,800,649,502,800,503,16,503,500,500,282,500,649,502,479,503,502,16,501,649,610,649,501,500,500,834,649,16,503,502,501,503,649,800,500,800,500,500,649,503,503,649,16,16,300,953,500,120,504,985,502,649,500,503,16,501,642,502,503,501,502,800,800,500,500,500,503,800,500,649,501,501,504,580,416,500,501,501,649,16,649,501,500,800,379,502,501,503,800,500,501,501,309,500,964,501,800,503,500,503,500,502,649,501,501,501,800,501,649,501,501,503,503,500,649,282,800,500,500,16,503,649,649,502,503,649,649,649,588,502,502,501,649,288,100,800,800,244,502,503,500,800,16,800,503,649,503,649,501,500,503,649,503,800,649,800,503,502,649,503,282,800,873,800,16,285,501,831,500,107,16,282,500,649,103,282,649,500,779,910,502,649,649,501,503,500,502,502,501,503,630,504,272,500,501,649,558,501,649,282,502,500,649,649,565,502,503,322,565,502,747,16,502,502,466,800,503,649,329,800,503,501,282,501,500,16,800,800,503,800,502,503,649,649,501,982,608,501,31,501,500,503,501,800,500,500,500,500,453,501,800,501,502,613,649,500,500,503,502,500,503,649,649,501,520,800,282,16,504,107,500,500,16,501,649,500,504,502,666,649,501,501,503,800,282,16,503,504,501,649,500,649,649,502,649,800,825,502,503,501,501,800,503,500,800,500,513,503,502,147,649,503,739,502,502,267,649,800,502,282,800,649,649,500,503,882,501,502,501,503,501,500,500,800,649,503,649,500,500,171,649,501,674,282,719,800,800,800,800,705,649,501,501,503,503,503,501,800,791,502,501,502,500,503,502,282,16,407,318,16,501,502,800,501,502,500,150,282,503,503,502,500,503,282,503,503,282,800,502,501,504,501,245,282,500,502,503,800,500,649,705,649,800,503,501,503,800,800,501,649,746,502,800,502,501,800,550,458,502,282,502,282,502,800,800,100,649,649,454,282,992,282,800,502,147,502,503,800,194,503,282,500,501,664,649,800,501,475,649,502,800,503,800,800,501,500,649,800,501,649,503,280,503,649,502,500,501,282,502,502,502,800,503,16,267,500,282,503,649,800,482,649,649,503,502,323,649,503,502,503,503,649,16,649,501,841,649,282,800,301,503,500,502,800,16,500,282,503,503,501,502,502,500,503,800,500,500,800,800,282,282,503,649,501,282,800,501,501,800,846,649,107,800,503,502,282,500,500,502,502,501,501,503,649,501,501,717,501,16,584,800,800,503,502,256,501,928,623,502,503,502,800,500,800,540,501,500,501,800,500,503,800,500,525,502,649,503,503,649,500,500,899,500,502,649,501,827,649,500,503,501,503,502,369,500,16,649,502,275,649,503,501,649,649,649,282,282,502,502,800,503,503,800,282,838,649,649,282,503,649,435,502,649,649,649,107,503,606,501,800,247,501,503,800,911,552,503,529,649,500,502,501,16,501,800,649,107,649,502,501,500,500,649,800,649,800,503,502,649,282,501,500,500,501,503,800,282,502,800,649,502,501,503,223,503,649,500,649,282,502,800,16,502,501,502,501,282,501,503,501,502,100,503,243,800,779,501,501,500,501,501,502,800,502,800,502,417,500,700,502,800,217,502,500,282,502,503,965,800,649,502,502,649,501,450,500,800,501,481,103,282,800,500,501,503,501,731,501,649,649,282,800,16,800,503,800,503,649,502,745,800,437,501,885,800,501,502,6,500,503,503,501,500,16,500,323,502,649,649,502,649,282,830,589,500,800,649,500,502,501,501,502,649,503,649,800,503,800,503,649,500,503,16,282,282,282,502,282,800,800,503,649,649,800,501,257,502,500,649,500,613,16,501,502,800,800,282,27,503,800,503,500,800,500,501,502,649,649,503,103,687,502,501,500,922,501,500,991,503,800,500,503,800,500,405,649,500,501,503,800,503,502,524,501,503,800,800,414,800,800,500,512,476,649,503,500,500,282,503,500,501,502,430,502,920,502,503,649,16,503,503,504,964,800,649,282,653,503,800,503,232,107,282,367,503,501,500,279,503,282,500,649,500,501,800,800,25,649,649,503,503,800,649,501,503,503,501,800,800,800,800,637,500,500,503,649,282,179,503,851,501,501,504,876,282,501,649,503,868,41,107,503,649,649,501,503,649,503,282,500,501,502,800,800,501,649,503,649,800,800,282,503,503,649,649,103,501,310,873,500,502,501,502,800,502,649,800,503,649,500,282,500,800,503,134,282,501,800,501,501,649,501,16,800,282,616,282,649,502,500,800,502,800,16,800,800,503,282,470,649,649,649,166,649,282,501,500,800,503,502,649,502,501,500,500,502,800,503,501,502,501,500,107,649,800,503,800,502,16,710,800,501,501,502,265,16,503,502,503,501,502,500,85,501,282,502,649,649,649,282,503,649,800,36,270,501,503,282,649,649,501,282,251,500,500,501,282,503,501,818,503,500,500,417,500,500,502,504,502,705,500,988,501,504,502,16,649,501,501,282,649,502,697,649,501,130,800,500,282,503,16,16,800,649,500,800,800,501,503,649,503,800,800,282,500,503,500,649,16,500,800,501,501,649,500,573,502,162,800,503,800,501,800,818,58,500,800,500,349,501,482,649,503,519,503,503,649,946,501,504,107,649,503,16,800,882,503,652,103,649,500,503,504,501,282,501,800,800,500,502,500,504,501,649,503,649,474,649,175,800,503,649,500,649,649,649,800,16,502,282,649,859,800,502,934,502,503,800,7,501,649,502,503,800,282,903,501,500,800,502,107,503,16,501,500,503,500,500,501,504,500,800,503,649,502,503,800,501,500,282,503,500,16,649,936,282,649,503,649,500,800,800,58,500,504,800,503,502,282,500,503,500,649,649,500,503,800,502,16,800,800,649,503,282,501,501,502,282,500,649,501,503,649,503,501,501,502,503,800,649,501,502,502,996,282,503,282,503,503,649,502,502,745,765,800,502,16,504,628,502,501,649,501,502,500,503,503,503,502,800,649,761,501,282,800,501,501,649,504,282,800,800,502,502,980,503,502,800,502,446,16,676,502,631,500,500,503,601,107,800,282,501,800,501,502,649,649,649,800,501,504,80,954,103,800,50,649,501,649,500,800,649,501,502,502,500,504,506,282,502,500,649,107,502,503,503,800,649,800,500,501,501,503,885,282,649,501,503,500,501,649,502,800,500,502,282,501,649,800,500,800,500,500,655,500,502,282,501,500,503,502,500,503,649,800,500,502,649,502,100,500,282,967,501,800,501,503,432,500,500,800,501,504,500,649,415,502,800,500,500,503,501,502,504,502,906,503,725,800,500,649,502,503,500,501,503,500,649,503,503,502,501,500,282,282,502,502,800,500,649,922,501,43,503,649,500,500,502,502,503,503,649,501,500,800,502,501,501,800,504,500,649,503,500,502,649,500,502,649,282,502,503,502,502,649,800,757,501,913,800,502,276,800,649,503,800,502,800,800,503,501,649,500,503,649,649,503,503,282,502,500,541,282,257,649,503,521,501,649,503,501,501,502,500,800,502,76,800,541,800,889,502,501,503,502,800,16,649,390,503,503,800,501,649,500,398,800,500,649,501,800,500,585,9,649,502,649,649,503,503,800,500,800,500,539,501,944,674,504,500,511,501,800,500,800,502,503,800,501,501,501,649,800,172,800,501,502,649,503,800,502,282,501,800,503,282,501,979,16,649,800,745,503,500,649,501,503,800,501,649,649,904,500,503,800,500,282,502,502,503,500,282,503,501,501,16,500,500,590,800,503,649,959,500,649,107,16,800,500,500,503,500,500,503,502,282,226,503,649,501,16,500,796,800,501,649,503,500,502,649,800,501,501,503,500,800,503,501,67,649,649,503,502,502,500,503,503,270,649,503,501,649,705,500,500,501,500,501,503,501,502,800,500,502,501,848,649,649,500,502,501,408,503,446,503,502,792,501,501,649,500,500,500,500,800,649,282,800,16,500,649,500,649,500,649,502,53,501,835,502,16,107,502,502,502,649,502,649,504,282,502,503,979,500,649,16,503,649,282,800,500,688,800,800,501,649,725,282,498,502,282,500,649,649,501,502,500,500,779,501,500,664,808,501,16,502,500,800,501,800,282,800,649,282,502,800,503,503,502,502,501,500,501,502,503,500,502,901,649,103,649,800,649,502,500,502,649,503,179,800,500,800,389,500,501,262,800,282,502,649,649,503,501,115,502,800,501,502,501,649,501,649,649,282,503,502,500,502,502,649,649,800,800,282,501,501,501,649,193,503,501,16,640,800,16,503,649,502,504,329,503,107,16,649,502,103,500,649,503,800,500,854,501,511,501,145,800,282,501,282,800,503,501,504,800,501,800,800,502,282,501,649,800,502,502,504,500,503,504,282,502,502,649,282,282,500,501,503,191,282,235,502,649,16,502,908,503,282,504,501,763,501,282,503,500,500,502,492,503,800,503,503,16,649,502,800,649,500,503,500,800,501,649,282,503,16,649,502,423,502,268,16,800,282,501,649,503,649,649,16,502,501,963,800,502,16,800,649,500,501,504,616,649,282,282,503,503,16,502,500,500,503,455,501,705,503,500,182,649,500,990,502,502,649,502,501,501,68,503,502,501,503,502,501,649,282,224,800,800,828,649,800,800,502,282,800,649,800,502,501,16,502,500,502,502,500,500,411,502,282,501,114,501,649,649,649,500,649,820,501,503,282,107,502,501,649,501,503,800,500,503,504,503,503,513,800,500,502,500,800,500,502,503,500,800,503,16,282,282,500,500,502,501,501,800,649,501,282,649,107,501,500,501,500,501,502,500,282,500,502,502,500,282,503,282,800,501,501,502,649,500,501,502,282,186,800,500,649,501,502,501,649,854,503,649,649,504,649,975,282,16,503,649,502,500,502,649,500,502,500,500,800,501,501,503,649,282,282,800,282,800,503,504,500,282,148,500,500,503,502,503,502,580,649,800,500,500,800,503,503,172,575,501,500,500,501,800,16,800,532,501,500,501,282,500,502,501,516,16,800,500,800,800,503,501,771,501,323,800,501,501,282,649,649,282,811,855,501,800,502,347,16,500,504,500,501,282,800,103,502,502,501,501,16,501,502,282,501,503,502,705,502,502,800,501,502,501,500,503,500,502,800,503,500,649,649,649,500,241,501,112,500,504,503,682,503,800,504,501,649,502,503,909,502,800,16,82,500,501,800,107,503,500,800,800,502,501,800,502,502,99,800,502,16,649,16,500,649,649,649,588,503,500,500,502,503,800,502,800,502,503,800,503,501,502,502,500,500,502,649,500,510,225,503,282,253,282,649,501,501,649,502,649,649,649,500,309,502,502,973,502,500,800,800,649,800,282,500,502,235,500,503,639,501,502,332,503,892,503,649,406,502,649,502,649,107,597,132,503,950,500,503,502,503,800,156,503,800,649,503,503,768,501,503,800,503,649,282,440,649,536,800,649,500,500,229,503,503,339,501,103,502,501,723,800,649,800,755,503,800,16,649,502,502,500,501,649,16,544,282,282,649,649,503,103,500,16,501,503,503,503,800,668,501,503,500,649,502,800,503,500,800,692,800,504,503,502,503,649,981,649,973,503,649,502,821,501,501,501,500,501,502,282,500,649,768,795,502,502,649,89,282,649,502,501,501,501,502,502,649,800,501,16,282,638,165,282,649,501,103,735,501,800,528,244,411,503,500,800,649,253,800,501,282,503,800,502,500,800,649,503,800,500,502,649,502,649,501,649,503,503,451,501,800,800,568,649,649,501,501,501,107,800,800,501,649,649,503,649,282,501,140,800,800,501,301,16,649,501,868,800,503,500,678,800,502,501,501,503,500,500,649,502,502,502,800,16,649,503,503,800,649,503,503,649,503,502,800,649,346,502,501,502,503,649,503,501,282,800,502,800,103,500,800,16,501,800,282,500,16,991,144,502,800,503,502,282,16,501,92,500,634,501,501,16,500,503,800,800,800,282,503,390,503,501,282,503,649,502,107,502,800,649,500,502,503,649,903,500,502,649,500,503,502,800,501,501,503,807,282,501,503,800,800,501,503,503,503,282,200,500,800,502,227,500,501,500,503,502,282,502,649,502,502,502,800,502,649,502,527,504,501,613,501,500,649,501,501,504,500,764,502,501,489,620,502,282,649,501,800,502,649,649,501,800,800,282,16,503,503,500,16,501,282,504,282,800,970,282,501,800,282,800,502,800,503,501,502,558,649,503,800,53,501,503,501,501,500,649,649,504,502,501,503,800,649,16,502,73,503,282,501,503,502,150,500,500,16,401,307,649,500,469,503,522,500,800,713,500,500,503,503,800,844,714,503,118,502,485,16,503,649,500,282,652,800,837,502,800,501,649,500,649,649,502,649,501,501,226,503,503,502,500,502,501,56,501,826,649,936,502,611,503,649,800,501,502,503,649,501,649,502,832,503,501,500,501,500,282,503,271,649,502,500,800,649,500,282,500,889,503,503,500,503,649,502,649,588,502,101,502,282,503,649,501,501,107,502,502,705,800,649,800,282,503,649,649,502,800,500,501,247,500,800,649,500,282,501,225,503,500,800,500,827,800,502,16,501,486,107,492,502,501,282,282,503,800,800,800,502,588,500,500,95,500,503,282,649,649,502,243,502,501,501,501,649,500,649,800,800,800,502,800,800,502,16,501,503,800,501,503,501,649,501,502,150,800,800,502,502,16,282,501,503,503,501,800,502,503,649,800,39,502,649,800,649,503,556,500,503,186,502,649,649,500,800,503,502,503,502,503,6,502,800,504,282,800,649,106,649,800,546,649,502,888,503,800,502,500,503,282,501,501,500,282,503,501,537,501,501,649,800,103,800,503,649,500,502,649,501,501,501,503,502,649,282,800,192,649,503,750,16,649,649,282,501,501,502,800,502,501,503,502,502,500,392,429,500,503,500,501,800,649,500,649,282,500,800,303,800,504,800,103,502,502,705,800,500,649,800,800,800,501,800,282,282,649,503,500,502,502,503,500,649,503,800,503,501,501,503,800,973,500,649,500,958,282,142,500,500,649,503,800,16,502,540,503,501,503,501,282,501,649,504,649,503,500,649,286,282,649,107,800,800,500,500,501,502,649,500,500,500,800,501,649,282,501,503,649,981,501,503,282,282,282,649,503,649,800,800,756,282,500,649,649,502,722,447,500,501,501,740,500,503,502,649,500,191,40,502,800,273,503,503,282,16,132,800,501,502,649,599,649,502,800,503,260,500,502,649,501,503,649,315,800,16,904,282,892,282,282,16,836,500,800,649,800,518,282,500,282,516,502,401,800,501,503,503,502,649,163,649,500,502,501,501,16,800,503,16,800,501,16,800,649,500,503,649,282,500,503,649,501,800,501,503,800,503,503,501,503,261,501,542,500,501,512,239,503,502,649,649,649,503,905,502,800,502,649,800,501,16,502,472,500,649,81,502,649,502,503,434,800,500,800,501,504,503,883,500,162,501,503,649,501,500,503,800,501,503,282,278,800,502,800,501,500,501,503,16,215,500,800,800,503,500,649,501,501,649,503,800,501,500,282,649,800,503,649,503,502,649,736,503,649,640,800,500,859,503,500,504,503,503,780,19,649,502,649,918,649,467,649,16,501,800,800,503,649,16,503,503,649,504,503,503,16,500,501,16,940,503,800,800,502,649,649,855,501,282,800,503,502,501,501,503,500,649,282,501,501,501,501,800,649,401,800,504,500,503,722,501,800,800,16,282,282,500,800,500,800,649,107,502,800,503,649,800,504,800,500,16,800,502,501,649,501,282,800,800,800,649,500,501,360,503,503,800,502,501,503,502,649,649,504,502,800,502,649,500,800,500,800,500,502,503,503,504,502,502,800,502,502,800,282,500,503,500,502,649,212,800,500,502,500,800,800,800,282,649,500,649,500,465,800,500,800,502,225,500,103,503,282,992,502,503,16,800,502,649,16,501,649,501,800,800,267,501,800,502,504,500,503,800,649,500,649,800,482,800,500,800,800,800,800,503,282,16,282,649,649,800,502,800,947,501,502,649,502,712,937,502,314,247,649,800,649,649,503,501,502,282,503,649,502,649,282,503,97,501,503,503,649,501,502,282,594,500,501,502,501,908,264,800,503,328,503,649,104,144,800,503,500,649,800,503,501,503,282,800,16,500,545,282,649,649,502,282,503,504,382,503,473,503,500,500,649,500,501,800,16,800,649,500,649,65,649,500,500,501,825,500,800,649,502,274,501,503,649,503,510,500,16,649,75,507,501,501,502,500,800,62,501,16,282,504,500,800,503,501,355,502,649,649,649,282,504,649,503,107,282,500,800,107,507,500,502,502,503,649,282,649,501,776,500,503,282,500,800,503,501,502,107,502,502,800,500,282,502,800,16,502,800,503,500,800,502,16,501,502,370,282,501,501,502,501,500,503,501,501,649,649,649,503,649,282,649,501,796,504,16,649,800,500,503,501,503,372,649,503,800,800,503,352,502,800,134,282,503,500,800,282,502,649,800,501,649,502,282,503,503,503,500,800,649,501,501,700,501,504,800,828,501,800,503,501,502,552,649,269,800,282,503,282,705,649,282,502,190,107,502,501,502,500,282,500,502,800,500,716,800,501,800,800,503,800,800,503,503,282,501,503,503,391,503,503,16,649,649,502,800,800,500,501,800,649,501,502,649,716,282,501,501,282,500,501,503,503,282,500,755,502,70,649,500,500,649,500,282,501,501,502,502,649,503,500,649,649,502,503,503,693,800,800,503,800,502,282,800,649,405,504,649,649,649,502,649,500,295,502,107,503,501,800,503,649,617,800,502,800,500,502,796,649,341,800,649,502,503,502,503,500,800,800,501,500,503,501,501,503,503,501,16,700,503,800,501,502,16,502,500,500,649,242,503,16,103,502,502,504,501,500,16,501,120,800,733,800,649,318,503,674,501,649,800,503,502,503,501,504,502,282,500,500,503,800,501,502,800,107,502,502,649,800,503,500,503,800,800,501,500,503,800,500,84,503,684,800,501,649,800,649,649,502,501,503,502,649,946,503,500,502,649,500,800,800,500,503,502,800,282,500,52,503,500,502,34,492,502,500,649,800,649,282,800,502,800,972,502,502,502,502,649,501,502,800,712,649,502,501,502,503,649,502,500,649,502,282,649,649,503,502,282,649,871,800,504,800,800,503,500,649,649,408,503,501,504,503,503,501,500,103,502,25,282,504,800,501,16,227,502,502,503,800,500,649,502,502,649,800,502,800,503,502,16,501,504,649,502,501,16,503,500,595,503,502,500,107,502,750,502,649,502,800,800,253,649,321,785,800,16,282,502,649,800,502,649,675,503,107,107,504,502,503,649,934,503,649,502,282,800,501,800,503,800,502,502,282,800,501,503,504,502,282,500,501,501,500,502,502,440,502,649,502,504,649,502,649,193,501,500,501,649,501,500,16,503,800,493,16,503,347,501,502,922,282,500,501,800,397,282,981,649,764,64,500,503,503,800,931,800,376,502,649,501,504,502,85,800,501,103,649,800,500,913,500,649,579,800,649,503,500,503,122,16,690,502,282,800,282,500,282,997,800,800,800,282,219,500,501,665,500,504,800,649,506,107,502,504,500,800,502,860,501,501,500,358,649,781,16,504,649,500,501,503,282,649,649,649,800,501,501,501,503,500,649,16,282,800,500,282,571,501,649,649,502,503,500,282,500,503,282,800,503,500,500,501,16,502,500,649,649,649,649,416,800,11,771,502,501,502,800,800,500,313,175,501,500,246,502,800,800,649,504,649,503,115,649,503,500,501,500,158,500,500,502,503,500,503,902,503,282,500,800,501,503,800,500,289,503,800,501,800,503,16,503,800,500,800,504,406,129,501,503,501,501,501,282,502,649,502,503,500,800,502,800,500,503,800,501,800,397,503,649,649,800,649,811,502,800,16,503,503,649,501,800,800,649,500,935,500,502,502,500,501,502,800,503,501,542,92,649,172,649,16,501,282,800,502,800,500,649,504,503,501,501,800,501,500,708,800,501,501,282,502,800,501,503,282,645,500,649,502,282,649,649,503,16,503,649,700,649,649,500,282,502,503,649,282,502,800,500,60,500,501,502,502,502,800,501,16,800,500,66,649,93,52,649,282,282,503,501,502,800,504,500,649,501,500,501,800,243,500,504,800,502,503,649,752,502,652,502,339,282,16,979,500,271,481,474,282,500,500,503,341,800,503,800,501,800,501,501,649,649,441,502,649,800,649,800,503,504,425,503,824,800,503,282,649,502,800,503,501,500,282,800,649,286,346,649,500,503,263,800,503,503,502,502,389,503,649,502,500,502,502,649,502,502,501,501,739,282,503,649,282,503,503,800,649,503,501,800,649,502,502,401,282,16,501,647,503,800,800,282,503,501,640,93,501,282,502,501,502,800,800,107,16,16,502,649,800,649,500,282,282,800,502,649,501,501,649,282,100,501,287,800,502,269,282,4,501,501,523,347,500,282,502,100,502,800,800,503,282,502,16,500,361,247,38,649,503,649,500,501,502,503,502,297,503,800,502,649,500,502,35,500,739,800,800,995,501,503,16,503,649,500,649,500,501,504,500,501,745,649,502,503,579,51,503,500,800,649,649,500,501,781,282,502,107,649,502,503,501,503,501,500,500,199,282,649,500,649,557,500,282,502,500,500,649,502,502,504,282,800,503,649,500,800,502,282,282,649,502,800,649,500,500,800,502,502,502,503,404,282,503,500,501,502,503,800,504,369,500,352,800,501,500,649,501,502,501,500,503,649,107,282,500,800,501,649,800,792,649,500,500,501,812,30,502,282,503,501,502,502,503,501,500,501,503,501,304,800,503,501,502,649,649,502,502,800,107,880,800,649,500,107,501,502,500,502,318,500,500,500,502,205,800,282,649,501,649,649,500,502,501,800,649,500,800,649,828,800,322,500,501,501,649,502,897,501,649,282,500,500,503,800,503,649,503,264,500,501,503,649,500,282,649,800,800,500,800,649,435,503,503,500,103,503,649,906,501,282,501,800,649,503,503,800,501,501,500,282,960,501,500,800,23,668,500,517,677,500,503,503,503,485,501,18,501,103,502,502,502,649,501,500,501,502,282,503,800,649,282,501,282,500,864,500,532,501,438,800,503,500,501,501,502,501,842,16,16,503,502,501,649,800,500,800,503,649,502,500,282,504,502,502,503,502,649,501,502,500,502,501,500,500,502,282,502,649,287,503,502,501,502,500,502,500,282,503,208,800,271,500,649,503,501,504,649,282,501,282,649,16,501,501,503,630,501,501,501,282,503,649,282,501,800,649,764,503,282,502,501,503,503,500,282,502,500,503,649,503,282,503,503,501,500,501,350,800,649,16,607,800,501,501,800,922,282,282,800,925,53,282,501,502,500,502,503,503,503,503,16,282,800,500,108,649,502,502,834,502,501,504,500,714,800,800,282,500,500,502,500,502,501,501,502,503,16,503,800,503,502,800,408,500,500,800,502,906,503,502,800,501,500,282,16,649,501,500,649,503,501,649,649,800,503,649,800,500,501,501,282,501,13,800,503,502,16,649,43,501,649,501,872,501,504,391,800,800,503,800,282,800,107,16,16,503,800,919,16,282,649,800,502,501,502,503,503,16,500,503,282,800,800,800,501,649,500,800,820,503,500,501,501,501,649,282,504,103,502,649,649,500,671,502,503,503,500,895,503,501,501,27,502,874,502,111,504,282,500,800,649,800,282,501,800,500,503,649,504,649,503,500,475,504,503,282,584,503,503,800,502,504,501,500,649,282,649,501,501,503,502,503,16,80,572,16,552,503,16,500,800,500,950,649,649,282,504,500,500,500,501,100,502,501,282,649,16,501,282,697,649,800,800,503,503,501,503,282,649,500,502,500,807,501,477,502,382,500,800,649,649,786,16,502,501,502,502,502,502,500,282,945,500,652,16,502,500,500,500,811,502,800,282,800,827,503,500,16,649,503,326,480,800,282,800,501,109,16,503,142,800,800,649,800,649,282,501,503,107,16,800,649,517,502,800,103,800,504,501,501,649,800,649,649,831,342,502,501,500,800,503,800,377,503,649,649,805,800,649,502,502,501,800,501,501,501,503,501,800,500,649,500,502,502,503,500,800,502,503,501,501,198,800,649,502,649,72,800,800,503,649,502,649,502,500,800,501,502,649,800,501,930,502,892,501,503,800,503,503,800,501,800,501,800,501,501,500,193,502,616,921,800,800,502,282,649,502,500,282,800,501,649,501,649,436,502,501,500,501,503,501,800,649,649,500,59,500,501,502,500,857,16,282,282,504,800,649,649,103,500,394,501,800,500,282,501,500,282,800,503,503,800,502,501,546,382,501,503,107,241,501,501,500,230,500,649,649,503,502,877,502,649,501,649,501,500,282,649,501,502,501,502,503,500,500,649,502,649,502,800,502,800,909,501,16,501,503,292,872,500,800,42,502,500,282,600,500,503,16,649,169,501,502,503,500,500,800,501,500,649,800,500,500,282,500,503,500,502,649,800,649,503,800,282,282,800,649,501,649,800,282,502,373,800,502,501,501,503,503,501,500,558,502,501,30,649,800,282,628,282,132,503,217,649,501,503,800,649,502,501,282,282,500,501,504,501,649,168,643,16,501,649,503,649,501,504,174,649,502,339,84,649,500,257,504,503,502,503,282,800,501,800,501,800,503,16,282,282,649,501,503,502,501,16,800,500,501,649,800,56,649,649,649,500,800,226,501,503,502,501,649,649,649,107,500,502,502,800,282,501,504,649,500,500,312,800,503,129,649,502,649,501,500,503,649,800,591,503,570,501,16,501,555,503,502,649,503,800,502,501,46,16,501,502,649,649,500,807,649,649,649,649,649,800,501,404,502,952,800,800,500,500,282,502,800,354,649,503,502,282,800,502,502,16,649,282,691,501,501,649,282,503,649,503,649,502,800,282,501,16,501,328,800,500,503,501,800,501,800,502,649,502,502,649,800,502,502,503,500,359,800,500,649,504,303,503,800,649,501,649,502,649,500,501,501,502,502,800,238,800,501,501,282,502,501,649,501,649,800,649,503,560,5,502,649,649,503,800,264,800,502,649,649,130,503,800,500,800,503,502,800,501,500,345,500,988,502,64,649,800,227,500,743,649,502,501,501,649,800,800,503,800,500,501,649,503,153,649,649,502,800,503,16,501,500,501,503,500,500,800,502,800,501,501,800,191,502,501,282,503,501,503,503,800,501,500,500,500,504,649,129,502,503,500,113,502,503,649,649,749,501,503,282,500,800,16,504,500,503,502,282,501,500,500,282,968,800,502,500,502,800,155,697,649,282,324,503,800,800,503,282,504,503,502,557,800,766,501,500,502,282,800,330,503,800,502,501,681,501,254,502,501,649,649,954,649,649,504,89,501,282,282,282,500,904,503,649,282,649,108,501,500,500,800,500,649,16,501,16,503,576,503,800,800,800,501,649,503,649,649,501,500,501,503,800,282,501,503,705,503,649,1,282,500,800,800,503,500,346,800,500,503,503,500,502,705,649,502,503,501,501,500,501,500,649,502,500,502,502,649,500,503,501,282,14,501,246,649,282,501,19,649,800,800,503,500,901,500,500,800,500,800,992,649,501,282,282,800,502,502,502,800,503,107,501,500,878,649,800,649,501,500,800,503,906,282,503,282,501,502,503,20,282,502,958,501,500,800,800,649,503,800,500,503,500,503,330,649,500,463,501,502,16,800,500,492,558,649,502,501,501,500,883,500,800,649,500,601,500,501,282,500,502,504,502,800,16,800,16,502,394,502,501,649,16,503,500,503,800,502,500,649,282,16,454,649,502,800,502,501,501,497,800,500,503,502,649,492,649,503,530,500,104,649,501,800,500,502,503,502,649,501,501,500,500,649,500,502,502,503,501,502,502,649,184,503,282,800,501,649,501,502,800,16,649,500,503,905,500,16,800,501,500,649,649,501,503,767,500,500,649,282,282,61,501,503,500,500,503,501,502,649,503,352,649,503,800,607,500,501,107,649,500,503,502,500,501,649,282,649,649,502,649,500,501,282,800,814,800,649,800,800,503,501,503,503,502,800,800,886,800,502,649,183,649,411,800,800,16,16,649,503,282,786,502,501,500,800,282,503,755,800,503,501,282,800,500,800,501,649,503,282,502,800,501,800,500,503,649,503,800,461,502,503,500,649,502,503,503,649,396,501,502,501,800,502,800,500,503,500,800,800,289,800,503,500,281,502,800,282,649,503,800,282,800,800,502,502,834,501,607,503,16,488,272,282,800,503,502,282,853,800,503,649,500,503,482,502,888,649,649,502,500,180,279,501,282,502,649,649,986,500,500,501,634,800,501,800,800,624,502,502,504,16,497,282,500,800,649,500,493,500,501,502,501,649,649,500,649,500,501,449,504,503,500,800,282,870,282,649,649,282,503,503,501,502,501,500,800,502,309,501,500,800,502,502,649,800,503,503,504,800,649,649,800,649,501,500,500,500,501,649,800,501,649,501,861,94,800,502,649,800,502,593,502,16,503,16,501,502,501,503,503,501,502,502,501,503,500,800,500,502,800,800,649,503,500,501,16,472,282,502,649,501,800,502,649,298,501,500,287,501,500,649,537,980,503,500,502,500,501,503,649,500,502,501,500,500,503,503,501,649,282,502,345,500,502,800,649,559,500,800,501,581,494,649,16,800,107,649,500,501,500,501,500,502,500,502,502,503,800,501,502,500,501,503,282,649,800,649,717,800,503,502,502,501,52,800,800,502,501,503,16,501,16,16,504,16,500,503,501,503,800,502,503,501,503,433,503,105,446,500,502,800,502,502,502,16,592,503,16,500,500,16,503,800,500,800,649,503,800,503,609,502,16,500,282,503,199,500,500,503,649,800,649,282,503,503,500,815,16,511,649,502,800,502,406,502,503,282,500,223,502,649,501,649,800,282,727,649,649,502,500,649,500,502,501,899,500,503,503,501,800,502,282,503,282,503,501,500,500,500,800,859,649,119,720,265,649,858,503,800,502,776,501,649,502,502,800,503,649,500,800,502,471,282,502,503,502,501,501,500,503,649,504,500,754,502,502,503,500,758,501,501,501,500,649,503,649,282,16,103,649,501,12,800,332,274,16,800,800,800,649,800,503,649,503,502,502,800,800,502,800,807,852,649,501,502,504,500,800,16,649,501,502,649,500,649,649,800,500,503,501,502,500,377,501,649,500,500,649,502,500,60,107,501,501,502,503,800,503,107,282,282,649,649,800,800,800,500,800,16,649,502,502,967,800,503,500,230,800,501,800,501,649,649,800,503,502,502,184,684,502,500,100,16,503,500,502,502,500,500,800,800,649,502,500,500,530,800,16,800,503,500,502,282,503,800,501,237,102,504,501,500,282,63,503,379,502,500,649,501,807,503,502,575,502,794,502,503,500,500,504,502,840,502,298,503,107,500,502,503,384,649,502,763,503,502,503,800,502,501,850,808,500,500,800,500,649,649,649,16,649,796,500,504,504,501,645,800,501,500,500,62,501,502,800,800,503,503,500,800,501,282,502,649,502,500,500,988,500,502,503,502,503,502,502,460,649,503,800,510,501,800,800,500,500,501,501,500,107,282,282,503,800,500,501,501,503,504,800,503,500,282,501,904,371,282,502,649,749,503,502,391,649,282,130,535,500,501,800,723,501,800,649,282,282,649,502,501,800,502,800,698,500,501,503,800,649,502,503,282,282,129,502,800,504,994,502,201,16,800,503,500,144,502,518,504,504,501,501,649,703,649,502,500,649,800,503,649,649,649,502,502,502,939,800,502,504,548,502,502,176,298,503,916,649,503,16,649,503,501,156,749,800,649,717,500,502,282,500,502,501,503,649,502,800,800,800,30,16,502,502,800,649,282,502,649,502,503,263,800,649,649,501,924,402,502,16,800,649,705,649,695,503,504,608,715,501,649,502,800,800,649,282,501,502,500,649,502,501,800,800,800,649,500,800,501,871,649,502,502,502,282,800,282,502,501,675,16,503,500,800,649,649,649,649,500,800,501,649,500,800,800,800,649,501,457,595,500,502,301,649,649,21,649,500,800,502,501,501,800,649,506,107,500,671,500,503,504,480,282,503,649,278,500,503,57,282,649,649,800,500,501,800,800,800,504,701,649,720,503,649,649,501,800,503,501,621,926,501,501,649,649,502,500,282,502,502,649,876,502,649,500,649,503,501,800,500,502,743,500,500,800,504,501,502,500,501,503,800,501,800,282,501,16,503,503,502,800,502,418,768,503,649,282,800,502,108,500,502,503,501,501,16,235,503,501,500,649,504,501,503,500,681,649,503,649,503,800,503,503,427,501,501,726,501,649,201,503,282,282,500,503,501,500,501,800,800,502,604,16,503,500,800,270,504,807,501,16,501,282,64,504,500,502,346,500,503,500,503,501,500,800,649,649,800,649,800,649,503,962,649,649,503,457,649,500,502,800,502,798,501,503,504,503,16,282,501,500,800,906,282,781,504,500,800,503,182,649,282,282,282,501,500,16,503,502,800,904,502,502,500,503,502,282,502,501,800,649,800,502,103,503,649,503,649,500,500,500,503,503,502,649,202,800,502,800,6,649,501,503,649,500,503,503,504,504,282,16,500,503,501,503,503,649,649,649,800,500,692,500,501,502,503,502,501,800,282,649,500,649,29,316,910,800,501,503,649,649,649,214,503,503,867,800,800,501,502,649,503,16,282,666,500,409,544,610,649,786,23,649,503,649,503,800,800,503,502,318,282,896,502,649,502,500,649,501,282,500,649,286,649,500,16,502,502,16,800,501,107,503,16,649,649,502,500,916,501,282,800,705,502,502,649,500,634,282,282,500,800,201,800,282,244,503,502,649,800,503,649,503,501,503,503,16,500,955,501,501,282,501,502,649,800,649,501,503,800,501,800,995,501,800,500,503,800,500,649,501,503,500,500,502,503,504,649,649,501,649,502,501,470,519,500,500,800,649,649,800,800,800,501,649,649,503,501,501,500,500,502,524,503,103,150,500,800,649,501,502,800,500,501,502,501,269,502,503,500,503,501,502,800,161,282,800,503,503,139,800,500,800,16,502,502,501,649,976,503,604,500,501,501,501,1000,649,941,500,500,460,661,800,294,800,282,282,800,502,503,503,501,502,10,503,649,500,649,112,502,800,502,500,500,500,503,800,501,16,500,503,501,500,649,501,649,500,502,282,206,501,502,649,871,16,500,518,502,501,282,100,502,800,107,502,103,800,787,649,503,503,501,887,766,221,501,501,500,649,16,503,282,500,503,705,16,501,666,800,107,800,503,282,177,503,501,282,502,502,501,503,643,503,500,504,800,649,800,501,473,501,87,649,503,615,502,282,984,800,500,796,501,503,800,498,502,501,649,649,504,503,233,500,500,114,501,502,263,16,16,649,504,503,800,649,500,503,649,800,501,528,502,800,800,503,501,800,500,530,486,83,502,501,649,503,504,500,694,501,800,800,800,132,502,500,840,501,649,649,916,256,502,502,502,800,503,503,500,501,501,503,501,177,504,320,649,500,501,649,282,502,502,503,478,282,458,282,501,502,501,502,500,502,282,502,800,500,282,500,649,649,503,503,800,503,282,502,282,649,800,800,16,502,501,501,501,503,501,500,800,649,500,800,298,503,501,693,500,503,501,401,503,502,649,282,104,282,501,800,800,282,16,503,502,800,800,800,711,502,800,503,503,93,800,649,282,16,500,500,503,501,503,503,649,800,282,705,571,800,503,800,501,503,502,501,90,503,800,282,32,800,502,500,282,282,800,649,500,501,501,282,282,649,477,649,800,800,871,16,500,501,502,649,282,502,800,282,282,500,503,282,375,502,800,500,401,888,649,502,807,800,282,800,504,501,501,282,649,649,814,282,649,60,501,800,500,338,649,501,649,501,502,183,504,800,502,943,501,503,800,403,800,502,502,502,501,500,502,11,500,502,502,502,800,502,501,504,282,502,500,800,282,500,501,502,800,503,502,503,501,709,500,503,501,501,501,500,649,649,16,502,16,649,406,501,500,282,501,503,501,500,16,500,500,282,503,500,103,500,800,94,502,238,501,719,503,800,649,107,800,502,501,503,500,649,501,649,500,649,370,503,263,800,500,800,800,282,627,504,503,500,500,503,500,181,282,501,282,502,800,800,500,500,282,649,501,503,800,646,649,985,502,503,501,503,16,500,119,698,500,501,800,501,800,649,503,501,500,800,502,502,502,501,503,282,502,649,502,500,502,649,500,501,649,800,500,649,459,502,800,502,282,500,503,16,864,825,35,500,588,503,502,800,502,282,649,587,800,649,649,16,503,282,500,51,649,501,501,501,500,122,800,129,282,501,100,501,500,282,500,282,649,649,501,502,16,355,503,800,500,112,503,649,501,800,649,394,800,649,649,500,500,501,800,800,502,226,649,500,503,503,16,501,504,501,814,649,800,503,502,500,282,649,365,500,282,605,800,502,800,937,500,502,503,502,16,503,502,796,649,762,649,672,16,503,502,800,500,500,282,562,500,282,107,500,500,649,503,649,145,800,502,649,502,282,16,649,282,500,800,103,500,107,500,282,501,16,800,125,500,501,500,817,502,502,501,649,502,800,501,504,649,502,649,800,502,500,649,752,500,649,502,800,503,503,59,800,649,502,800,503,867,282,500,501,440,501,504,800,103,649,649,294,649,500,503,649,502,282,800,649,800,800,649,501,503,503,596,503,500,501,500,501,501,500,503,800,500,501,324,415,490,800,500,501,16,504,649,502,501,282,502,282,800,282,502,766,503,501,580,503,846,800,501,649,503,800,501,501,502,800,257,501,501,502,800,649,800,800,501,800,502,503,501,501,800,10,502,649,800,206,503,500,925,503,649,256,190,821,501,502,649,649,502,649,649,805,649,501,502,649,502,800,649,503,726,502,503,649,501,502,350,800,188,508,500,499,171,330,800,501,500,208,500,502,282,272,501,282,16,503,500,649,584,16,649,502,503,503,649,649,500,500,503,503,649,649,649,503,502,504,649,282,500,649,500,449,503,503,501,134,502,500,503,785,751,500,503,282,649,500,500,800,366,502,649,501,502,503,502,800,282,649,282,500,501,649,500,649,800,282,649,800,502,500,500,502,217,800,503,649,503,649,500,502,502,501,500,649,502,501,502,502,501,905,503,500,501,800,501,458,800,800,800,800,282,649,16,649,16,326,649,500,649,395,502,649,649,452,502,649,800,800,800,502,503,502,649,215,800,520,16,501,649,502,282,800,800,282,501,500,282,503,414,502,503,501,282,373,502,501,503,502,800,500,500,500,418,502,502,800,939,282,800,500,16,503,705,503,649,147,503,581,502,865,500,501,502,502,898,692,502,16,800,282,500,501,800,783,500,800,750,805,649,649,894,503,282,800,447,500,501,501,800,282,649,500,282,500,500,282,800,282,649,500,649,500,784,503,800,649,649,649,800,501,282,500,503,301,103,501,502,800,282,800,732,500,699,649,503,502,501,502,16,501,503,502,502,649,503,504,660,800,501,282,574,501,502,503,800,333,500,649,282,501,800,501,209,503,282,780,649,16,501,800,556,501,649,500,16,500,649,649,500,800,649,500,500,500,502,762,649,106,282,502,282,282,649,107,501,800,504,649,282,503,501,503,800,503,502,501,503,249,501,527,502,649,501,503,800,649,583,502,649,502,898,504,502,800,500,504,500,502,682,503,501,502,502,503,649,800,649,500,800,500,501,500,500,503,503,504,502,649,203,500,502,500,502,501,649,501,500,501,502,500,501,502,800,649,800,800,500,500,502,502,282,500,501,500,501,282,504,800,500,282,500,649,500,649,649,282,649,649,282,800,500,501,503,800,800,800,282,1,16,503,501,800,654,282,800,501,282,384,623,500,800,800,649,4,800,969,503,501,282,503,500,500,649,503,501,25,904,502,282,502,471,503,107,800,800,800,282,649,537,500,800,503,503,502,502,500,649,16,649,502,107,501,649,800,12,502,282,649,800,800,502,502,649,503,501,503,282,953,503,652,309,392,500,800,500,500,500,800,649,16,500,649,502,649,800,502,800,800,501,500,649,501,501,282,502,649,800,501,500,500,500,502,503,500,503,800,800,627,502,501,346,800,502,282,502,454,16,502,503,502,503,649,800,501,501,649,503,502,502,100,649,950,282,500,51,500,502,500,501,846,800,282,502,503,705,16,501,347,500,503,503,500,969,502,282,282,500,282,649,502,649,800,16,500,800,501,282,502,503,800,282,502,501,800,282,501,649,649,500,103,503,501,16,649,247,500,502,503,355,503,503,276,487,501,649,800,51,649,649,503,503,500,501,800,500,500,504,800,500,800,16,107,282,500,502,501,610,800,282,502,800,500,800,202,501,966,282,290,16,800,649,630,503,500,503,800,638,500,501,28,501,502,500,503,503,649,649,503,800,501,500,500,501,503,502,500,503,282,500,649,282,112,918,500,649,282,317,500,500,282,800,503,67,501,500,501,800,800,16,649,16,501,800,397,500,503,502,16,800,736,500,800,649,503,2,503,583,501,649,143,282,502,287,500,501,649,800,503,158,500,282,501,649,501,503,501,705,649,501,755,649,502,800,282,985,800,503,503,500,282,575,501,800,501,500,502,503,282,502,16,502,705,501,501,800,502,563,500,503,503,800,16,501,501,501,501,800,649,501,649,501,501,649,16,347,282,800,502,500,800,503,316,800,800,800,502,800,500,502,502,501,800,649,800,649,282,503,800,502,501,500,16,282,502,35,800,500,800,649,282,800,865,800,326,800,256,503,502,800,503,500,800,503,16,282,500,503,649,502,800,649,500,649,800,649,502,800,503,999,501,501,649,503,502,649,705,502,502,800,800,282,500,897,503,503,500,503,504,502,800,503,768,282,503,649,800,800,501,282,800,502,503,800,213,16,800,503,800,502,501,800,503,501,501,503,282,502,816,649,503,282,500,800,503,500,500,500,282,501,649,649,500,649,649,503,500,282,649,649,43,503,96,649,500,800,800,800,503,502,330,471,16,500,16,500,649,282,502,502,501,649,800,282,501,800,503,501,800,503,103,649,503,645,800,649,80,800,980,501,649,747,502,502,501,800,16,503,16,502,501,501,503,649,502,502,388,503,155,282,500,503,800,500,503,282,649,501,504,500,500,649,502,501,501,500,16,800,16,503,800,430,16,800,500,774,282,282,501,502,502,500,502,282,500,282,649,501,282,500,500,16,501,503,649,502,800,800,649,504,503,501,503,500,501,503,501,502,800,503,503,649,501,501,503,500,103,282,503,500,254,282,502,500,649,503,649,503,504,504,502,800,829,649,594,501,500,503,503,503,800,312,502,94,502,649,993,500,503,482,800,501,4,171,800,282,502,107,800,649,501,733,995,501,500,503,503,649,209,649,241,503,503,833,503,502,501,447,502,503,282,800,503,501,911,800,501,502,649,502,649,356,566,106,282,501,649,800,500,503,504,501,649,20,500,502,503,773,501,649,649,501,261,503,500,800,800,500,282,503,501,500,502,502,649,649,501,800,193,501,503,500,501,503,800,649,881,504,649,649,649,502,502,503,503,500,501,503,800,503,503,16,60,501,439,800,503,500,270,502,502,501,500,500,502,502,501,500,501,503,502,649,504,503,282,772,503,502,800,649,800,503,500,649,501,501,406,752,649,500,282,800,670,848,569,501,649,503,501,649,503,501,501,982,503,502,500,800,502,503,800,502,502,649,16,800,800,800,500,501,593,649,16,738,504,800,500,500,649,282,800,501,503,502,800,282,282,649,16,500,500,649,120,649,800,504,500,282,649,502,649,503,649,503,282,502,500,500,502,501,282,800,129,502,649,282,501,308,502,500,800,502,800,503,503,500,901,800,649,800,500,381,649,997,500,501,800,282,501,503,502,503,107,500,503,503,502,500,282,282,800,282,649,500,500,800,800,500,500,502,743,649,103,503,649,282,501,502,503,649,503,649,282,256,501,502,502,503,500,503,501,502,500,503,501,502,800,503,500,502,502,503,508,501,649,649,800,501,800,503,649,282,16,501,501,500,500,501,500,502,503,282,649,282,742,800,501,528,649,502,800,500,800,800,113,16,16,502,500,649,503,982,800,502,649,503,500,821,289,800,623,800,503,503,649,500,649,501,501,502,501,560,503,503,379,649,501,800,649,503,503,282,156,502,500,103,282,649,649,282,504,426,162,16,500,649,504,693,649,501,339,4,800,649,500,500,503,502,237,500,501,501,649,800,500,649,113,500,649,800,878,542,649,501,800,504,151,800,502,103,500,800,503,357,501,500,504,851,502,282,276,501,502,502,502,503,503,800,450,502,503,500,502,502,262,530,649,503,495,800,800,501,501,503,377,800,501,282,282,649,503,282,504,649,501,501,501,501,503,502,800,649,800,502,274,649,800,800,501,505,649,800,801,678,800,504,502,819,800,502,502,504,58,501,501,503,502,502,251,500,502,282,502,500,500,500,800,649,502,503,503,502,16,503,459,107,503,649,500,649,500,638,554,649,502,503,502,921,504,800,475,107,500,500,649,282,501,171,963,500,16,502,502,621,649,826,501,503,502,649,800,502,649,282,504,500,501,501,772,502,503,649,502,503,500,503,649,500,503,800,502,501,107,502,502,839,447,502,713,649,800,800,500,502,502,502,501,503,500,800,649,502,503,649,103,16,502,672,503,16,800,500,500,709,800,501,504,649,503,123,306,501,502,500,900,501,504,502,649,649,70,282,800,500,282,800,501,501,800,16,649,503,282,190,852,800,924,649,500,173,502,649,800,503,500,500,504,501,123,376,406,500,906,503,502,501,840,502,16,500,503,800,932,888,800,765,800,502,282,502,388,16,503,374,500,800,282,336,68,649,108,500,500,800,500,800,649,800,800,500,500,500,500,500,649,282,649,502,503,502,800,68,502,501,503,649,800,223,800,800,649,976,503,649,501,500,500,502,500,500,649,649,500,502,800,500,503,503,454,500,204,649,800,282,501,654,502,504,502,500,351,649,500,501,501,16,501,265,503,800,502,500,503,501,500,501,500,500,649,500,503,369,800,282,502,323,649,800,500,503,500,800,500,502,200,649,503,500,16,503,649,503,871,800,500,649,501,501,504,649,282,440,415,16,502,502,503,500,649,649,649,107,502,503,649,502,503,649,649,502,800,502,649,502,16,649,800,301,867,502,800,649,501,501,503,649,501,500,282,16,502,649,501,649,500,500,502,649,503,467,501,649,500,500,503,501,500,502,501,503,502,501,800,500,502,800,502,649,800,500,649,800,800,501,503,500,800,501,649,649,79,649,621,503,502,502,500,500,500,503,454,500,503,800,649,16,503,502,501,282,503,282,282,800,649,503,500,500,503,500,503,503,282,282,500,649,28,624,503,649,800,649,502,503,800,282,500,500,501,282,503,503,913,501,503,405,500,501,649,800,502,503,800,505,503,649,502,649,500,25,501,500,866,500,889,502,649,500,500,502,800,800,649,649,502,926,800,649,501,649,638,503,415,503,800,502,649,503,127,897,503,800,16,246,502,501,124,800,191,503,504,663,44,649,16,800,502,282,282,501,501,156,974,501,16,114,649,649,502,502,502,503,504,282,503,807,649,135,500,800,301,282,649,502,800,504,500,649,143,500,942,800,800,800,282,502,282,800,502,800,800,927,500,501,800,503,500,501,501,16,501,500,16,282,503,501,649,649,500,282,524,649,502,500,125,503,649,282,649,103,500,502,649,500,649,501,479,800,800,649,503,503,503,500,500,502,501,501,800,500,282,500,712,502,47,282,282,340,649,26,501,16,503,987,800,500,800,502,800,502,502,621,503,500,502,800,282,500,502,503,800,501,500,800,501,649,502,708,800,501,503,501,503,500,502,282,282,800,424,500,282,500,500,800,503,501,502,502,649,282,282,501,800,500,503,282,282,151,501,502,502,504,42,649,282,501,800,500,500,649,504,502,649,503,800,282,500,500,649,503,504,16,649,16,500,502,669,16,135,503,800,503,282,649,282,649,502,800,503,500,800,501,500,502,649,500,16,690,440,691,501,649,582,958,649,501,500,800,503,502,800,800,500,649,503,501,503,502,61,501,305,503,837,502,649,993,500,500,649,500,649,649,800,502,501,503,649,501,503,520,502,649,800,548,800,503,649,718,649,502,479,501,503,649,504,502,502,502,27,503,501,800,649,649,202,502,502,502,501,282,501,502,649,282,649,800,504,649,800,503,503,802,502,504,282,282,501,36,649,501,502,700,800,607,503,800,504,800,503,649,282,800,596,501,500,38,500,502,501,503,501,500,500,800,107,503,502,649,16,500,500,513,501,501,500,869,591,501,649,170,503,649,986,649,800,501,7,809,684,500,502,503,800,16,500,501,503,501,503,501,503,503,649,500,282,622,502,649,500,647,988,582,501,649,503,503,649,503,377,16,504,649,282,501,502,649,502,502,503,503,282,282,649,282,649,501,649,502,500,501,543,649,982,800,503,501,282,800,503,945,282,282,502,502,649,800,649,503,800,502,502,501,501,282,503,603,649,500,821,800,800,501,503,731,502,129,800,500,697,705,502,946,103,503,649,649,501,503,96,800,501,501,501,500,16,800,502,800,503,243,500,501,502,102,965,800,649,107,503,503,501,500,500,800,800,503,800,502,800,503,107,800,800,502,282,503,502,501,416,501,503,16,503,800,800,502,282,800,502,16,720,282,282,503,649,826,500,649,249,282,504,501,800,800,504,503,503,503,649,501,502,873,282,649,601,501,800,282,901,502,145,503,503,501,282,649,501,649,500,649,800,800,649,501,503,500,800,649,356,282,649,501,503,800,649,649,501,500,800,282,561,502,800,502,724,649,889,502,649,500,501,16,642,800,465,986,902,503,502,501,807,501,502,649,503,800,502,649,503,501,649,503,501,502,500,502,649,227,502,649,502,502,501,800,504,800,500,800,649,501,327,500,503,503,501,500,500,502,282,649,503,503,282,282,282,282,501,800,502,502,502,800,800,100,408,282,502,516,502,649,502,649,503,501,503,501,501,500,503,282,501,705,504,800,40,107,503,503,282,500,649,282,500,800,503,500,502,501,502,90,500,800,503,449,500,501,236,474,649,502,649,963,503,501,501,502,503,500,503,502,282,649,504,502,502,501,649,501,503,503,705,500,83,739,503,16,501,502,501,282,500,502,649,16,649,501,502,503,502,649,282,372,502,649,800,500,649,503,800,649,282,503,282,800,16,503,282,501,232,16,800,502,502,502,500,282,503,282,500,282,502,951,16,501,500,800,282,66,500,649,503,501,282,988,800,500,502,800,649,282,649,649,800,501,503,236,295,500,443,501,282,382,502,742,282,502,502,500,282,649,649,503,649,501,282,649,501,282,503,329,800,502,500,502,371,503,501,500,503,502,649,502,502,282,501,500,501,649,342,503,282,503,800,282,500,16,649,282,16,500,800,649,500,649,800,800,503,690,107,502,500,500,282,316,103,500,501,756,16,503,17,501,43,502,501,834,649,282,501,500,610,500,503,503,50,649,502,649,649,501,501,649,503,800,649,958,649,501,36,502,800,502,502,503,501,416,503,90,16,649,500,503,683,500,502,800,500,282,501,500,500,500,500,649,47,500,649,282,503,16,649,502,502,649,649,500,502,500,278,501,800,500,501,800,649,282,649,800,800,800,503,649,800,800,509,649,282,282,502,649,502,502,502,800,503,562,500,800,649,546,649,649,500,502,282,800,455,800,282,561,501,649,504,503,22,800,800,501,649,500,649,501,501,504,609,503,500,16,469,502,501,649,800,501,282,503,503,502,502,800,649,282,579,800,848,502,800,501,649,502,503,193,500,800,800,103,501,800,800,500,273,501,500,964,800,503,503,504,16,501,800,16,503,501,649,649,500,615,649,800,800,649,649,503,500,800,501,103,503,761,800,502,502,501,103,649,503,502,649,503,503,503,503,502,800,800,504,501,800,500,502,503,501,501,501,800,866,838,819,501,503,504,649,503,649,500,502,501,502,800,800,503,503,282,500,500,649,503,503,503,503,500,973,502,503,94,104,501,527,16,998,500,264,282,649,501,800,16,501,800,649,500,503,500,501,503,502,706,151,800,502,503,500,502,502,502,649,502,800,502,501,206,649,502,649,502,800,500,501,800,503,502,501,502,501,282,649,800,800,960,501,800,800,500,649,800,503,103,503,501,282,800,500,503,501,502,649,500,501,649,502,800,502,503,502,502,800,649,500,500,501,503,51,282,78,282,502,649,800,649,282,649,500,649,800,501,649,6,503,503,649,503,649,502,500,503,502,282,282,282,500,649,501,787,282,984,504,24,502,16,503,649,649,500,282,502,503,501,282,282,503,504,800,56,649,649,31,503,186,800,503,503,649,282,800,501,800,648,649,502,502,502,238,800,502,504,501,282,649,295,800,502,766,649,500,800,27,500,500,282,649,107,121,649,489,282,148,649,501,282,501,501,649,649,800,501,501,800,649,16,250,800,501,500,800,649,282,502,800,500,503,502,649,799,502,649,800,502,501,282,500,715,649,500,503,503,503,500,689,540,649,503,649,503,800,649,649,800,502,500,501,502,503,800,649,500,800,800,501,502,501,649,380,47,503,282,502,649,500,282,500,18,395,503,500,502,503,503,16,502,196,502,800,503,503,504,501,503,649,500,107,800,501,503,501,800,500,502,503,503,503,503,502,16,649,500,503,500,469,649,282,261,807,800,807,501,500,649,649,503,282,500,502,500,501,800,658,649,807,502,649,649,508,800,501,503,504,800,501,502,502,501,996,501,452,504,656,503,649,503,503,503,500,503,500,501,486,206,504,589,502,282,500,800,502,282,890,501,918,502,503,518,502,502,501,282,500,800,500,502,483,500,679,649,649,649,800,800,16,649,501,502,649,800,502,500,503,843,282,501,501,800,501,500,500,503,500,503,501,503,433,659,649,501,800,503,649,649,649,800,282,691,800,500,9,503,282,282,800,800,500,659,282,71,977,503,502,282,649,503,811,800,649,384,502,649,501,282,500,503,500,502,649,800,502,500,800,500,649,503,800,16,800,483,501,800,116,500,389,649,500,502,282,800,649,767,500,649,500,649,649,649,212,502,500,500,800,500,800,148,649,649,503,649,503,500,503,502,649,103,649,502,502,649,503,800,500,501,501,780,282,16,500,502,502,16,649,282,800,16,501,800,307,502,649,500,502,649,732,649,800,500,500,813,500,503,336,649,800,500,501,931,500,310,103,501,501,16,252,800,500,502,649,881,269,502,800,500,500,891,501,800,500,502,778,592,662,282,738,16,800,474,503,649,500,800,107,800,502,16,649,500,500,649,502,501,649,649,501,502,800,501,282,502,502,503,502,649,500,500,649,649,502,500,503,800,504,16,502,800,500,800,797,503,503,500,800,502,282,649,800,502,282,500,275,500,800,282,501,16,501,501,649,107,282,800,503,500,282,649,800,800,503,800,502,501,471,800,566,501,500,566,800,501,72,503,501,502,501,800,649,16,502,502,649,649,501,800,504,16,800,800,649,800,501,707,649,860,800,500,649,800,649,503,649,501,501,111,649,503,501,282,800,500,502,649,502,649,800,800,502,107,937,649,25,502,503,502,503,504,649,800,102,503,501,282,649,424,282,282,500,649,502,282,504,16,800,800,16,281,649,501,580,282,800,800,282,16,649,800,502,503,800,800,503,649,502,503,800,800,282,501,501,649,750,500,501,502,649,503,649,282,350,800,649,502,800,282,16,500,501,501,501,500,649,649,502,649,800,123,500,504,800,500,282,503,502,894,502,800,501,462,800,503,501,504,502,367,649,502,500,800,800,500,649,501,800,503,500,16,503,282,503,649,282,501,853,503,500,501,800,501,16,228,502,800,800,800,500,670,501,502,500,107,800,502,905,500,800,502,502,503,282,502,282,503,103,282,282,500,282,649,649,502,500,800,501,227,649,501,724,649,500,734,502,500,503,711,502,500,502,501,503,282,649,503,800,649,649,109,107,649,500,503,501,502,502,868,502,501,500,501,502,501,503,16,500,142,649,502,649,282,500,16,500,157,800,649,649,503,503,735,502,649,649,502,500,383,503,800,501,502,649,503,649,800,500,16,807,500,16,502,500,504,16,282,282,705,502,501,502,500,501,500,500,501,503,800,501,800,761,800,649,502,800,501,649,502,649,503,282,502,504,800,504,502,16,501,282,282,501,800,503,503,502,649,649,500,500,502,501,608,501,503,800,800,696,502,929,502,800,649,500,503,501,502,503,501,932,500,502,500,502,503,501,377,502,994,800,502,500,649,504,649,503,503,500,501,16,757,282,504,16,500,502,501,800,282,739,631,501,503,282,649,649,649,503,649,501,500,164,978,502,503,649,500,500,649,500,500,649,500,501,184,501,500,282,501,502,282,667,649,502,502,800,227,503,500,502,503,649,502,500,502,505,503,800,500,649,501,500,800,16,501,503,649,500,503,502,501,503,502,649,501,501,500,502,282,649,501,501,649,500,502,500,649,500,649,501,500,503,503,500,503,649,800,800,503,800,502,649,501,501,649,502,649,501,357,649,800,649,714,649,800,800,649,500,500,500,503,282,503,649,500,500,503,800,649,500,649,649,504,503,786,291,649,500,502,503,649,501,649,500,800,929,103,800,502,649,502,503,800,502,760,526,282,800,501,501,501,500,36,800,649,16,502,502,501,503,501,501,475,500,501,649,502,472,502,502,649,501,502,705,649,500,500,800,502,503,282,500,502,503,401,800,103,282,503,904,500,649,503,503,500,503,76,500,282,502,503,501,252,500,103,16,663,502,818,800,503,282,501,282,354,649,800,705,649,649,800,649,290,800,503,500,16,649,502,16,800,500,500,501,800,502,16,649,16,282,800,503,162,504,649,500,800,502,800,270,16,649,500,779,16,467,649,649,501,502,931,282,500,821,501,282,800,649,800,282,282,500,502,649,500,503,107,154,501,649,501,16,501,800,107,800,501,502,282,503,649,800,800,500,502,501,502,835,501,503,501,649,362,502,503,502,500,649,501,800,777,500,891,649,649,636,501,503,501,502,500,502,282,282,500,649,503,501,649,500,501,502,501,504,875,649,800,501,16,503,500,500,282,282,649,502,800,800,501,503,16,800,500,800,500,501,282,500,800,503,501,502,500,244,503,649,282,282,501,502,502,649,649,503,502,800,503,800,606,501,282,501,800,649,800,501,649,550,503,836,943,501,800,503,800,649,503,107,800,501,282,229,500,422,501,503,800,85,501,501,500,500,282,649,282,500,665,500,500,649,649,500,500,939,164,900,501,501,282,500,501,504,500,502,503,502,800,800,627,502,800,503,504,501,503,649,732,807,500,649,649,500,501,500,501,503,502,502,502,649,800,282,500,503,649,503,955,500,282,500,503,500,193,500,649,800,503,619,720,282,802,61,282,503,502,501,800,16,649,502,502,282,16,502,503,800,667,103,501,800,800,501,502,503,800,282,107,500,501,503,502,714,503,800,502,362,503,501,898,345,510,503,502,501,800,16,649,501,800,800,800,501,503,16,951,193,501,504,502,649,500,16,282,500,502,16,649,500,502,282,107,501,800,500,501,258,503,649,282,503,282,800,503,503,103,504,282,502,649,800,80,649,501,503,501,500,502,800,501,501,500,649,359,500,502,501,503,500,502,649,502,500,649,500,500,649,649,501,800,649,503,800,649,500,501,800,503,800,501,800,800,341,503,16,639,649,738,503,307,282,922,500,501,649,16,501,91,501,500,196,800,810,501,933,649,649,649,649,282,16,800,282,502,503,502,501,649,649,502,500,649,649,800,503,501,500,800,503,282,107,501,503,501,502,800,501,501,649,16,503,282,500,503,305,678,502,649,649,649,800,295,589,649,501,503,500,421,503,800,503,107,502,501,500,500,800,501,503,649,649,800,16,800,800,503,602,501,501,502,500,504,282,282,906,503,500,649,282,502,503,16,502,649,502,800,501,783,501,502,800,800,501,501,501,501,800,801,800,503,501,500,800,504,547,501,503,649,649,16,503,500,138,502,500,16,502,501,649,501,282,800,502,649,649,282,800,282,502,500,503,649,569,502,500,944,501,503,800,503,103,649,504,649,649,501,503,500,987,503,503,503,501,502,500,502,500,503,197,644,500,170,500,649,649,649,636,502,649,501,649,649,500,705,500,332,649,502,649,502,282,503,635,501,625,501,800,30,649,502,16,500,502,282,503,282,502,709,503,800,649,800,800,501,502,501,649,501,800,800,502,502,500,504,800,502,800,800,502,504,503,800,502,649,112,502,800,402,800,503,282,504,502,500,800,800,649,503,282,649,504,16,502,500,504,503,800,16,503,963,501,503,800,503,800,649,649,503,502,897,501,503,501,503,649,500,503,16,542,503,500,501,994,955,815,502,500,649,984,502,16,502,649,503,361,503,501,800,145,501,503,282,800,282,649,117,800,430,560,547,500,501,505,503,800,649,282,649,228,357,502,503,500,16,503,649,501,733,501,16,500,500,16,500,500,501,282,502,649,800,531,503,433,16,501,501,500,726,501,16,489,503,500,503,501,503,649,500,649,282,649,501,16,500,679,501,503,800,500,800,501,500,501,666,501,501,503,502,500,502,346,408,503,500,649,502,501,503,16,502,796,500,502,501,16,282,649,501,986,649,502,282,503,500,649,503,500,800,500,500,503,500,282,503,527,438,282,16,649,501,800,500,502,501,800,85,501,800,800,504,500,238,500,800,800,705,503,502,503,16,649,503,502,474,501,504,500,25,503,282,500,528,503,500,649,962,958,551,649,502,501,282,500,649,800,504,502,800,500,800,503,502,503,501,503,649,502,615,502,649,279,500,649,500,800,649,16,282,501,649,649,800,502,500,319,649,649,503,500,500,259,887,800,501,503,501,209,800,649,502,502,412,501,16,502,16,501,12,502,500,503,503,502,503,800,649,502,501,649,800,501,649,503,800,800,649,189,503,500,502,500,501,800,800,500,500,282,16,649,503,503,738,502,448,503,504,502,800,503,503,500,800,503,500,502,500,649,16,226,501,503,503,800,503,502,503,16,800,500,800,502,500,580,159,501,800,800,282,800,501,502,16,649,800,502,800,522,503,282,500,800,501,16,577,504,501,501,502,649,501,500,282,755,500,16,458,649,501,503,800,628,500,502,500,16,503,500,282,502,361,500,800,800,501,649,500,500,502,500,800,282,501,649,649,500,502,502,501,800,282,500,500,296,503,16,500,16,61,914,282,503,500,502,503,500,282,800,501,649,500,649,501,501,500,502,502,502,454,649,282,649,502,500,503,500,501,800,503,649,588,503,649,501,800,500,500,503,107,649,503,282,497,500,502,282,500,348,502,282,574,503,503,800,500,503,502,501,800,202,500,503,501,500,503,500,800,503,649,500,282,502,501,282,824,500,500,800,800,897,500,649,800,649,800,502,353,503,649,282,502,503,800,502,503,676,503,800,649,907,649,282,649,500,649,282,705,282,800,503,503,502,800,501,649,649,502,282,500,183,800,503,807,800,649,503,503,503,503,570,16,649,649,503,800,800,649,503,282,800,502,921,502,503,16,504,502,649,501,800,503,501,12,282,501,503,282,501,649,649,502,500,649,502,503,800,282,282,800,502,501,800,500,433,503,282,503,869,852,800,800,502,626,501,503,800,800,800,649,501,649,800,501,16,503,503,800,503,363,980,800,503,871,503,500,435,430,282,503,502,705,503,800,500,753,501,502,16,502,501,503,501,504,501,800,500,649,500,503,800,282,503,501,500,649,502,503,502,705,501,282,501,282,649,502,502,502,503,16,572,800,652,282,501,25,500,501,503,503,503,800,501,500,282,502,501,800,503,800,502,502,16,649,500,649,649,282,502,501,658,649,501,649,502,503,649,649,503,649,502,800,649,503,503,503,362,649,282,501,500,649,517,502,503,159,282,503,800,503,502,16,649,548,649,504,503,503,503,479,800,501,503,282,800,500,800,502,500,70,9,503,800,502,282,500,503,501,649,501,649,503,486,500,649,501,504,16,500,501,500,649,500,334,216,563,502,907,503,503,584,501,103,16,500,16,502,649,500,502,503,282,649,649,356,500,800,800,282,649,800,800,282,16,500,503,705,503,502,800,500,107,282,503,503,107,282,500,503,16,649,501,503,500,503,649,503,282,500,503,502,503,83,501,649,800,800,501,503,16,399,503,502,649,503,282,800,502,502,800,501,503,503,649,503,503,220,501,501,107,501,800,501,800,503,500,502,503,501,502,800,725,125,503,649,282,502,649,800,346,503,649,282,649,501,503,649,500,39,282,501,502,503,502,540,501,503,800,502,501,502,502,961,16,800,282,360,22,500,375,282,501,500,503,3,875,16,504,503,502,800,800,500,800,800,649,107,502,503,501,649,502,649,800,282,500,500,649,800,800,501,502,282,649,501,503,502,501,282,503,107,893,800,800,649,649,800,531,502,503,800,4,800,282,16,500,503,500,503,800,16,142,501,500,501,502,502,500,502,501,500,800,282,649,503,16,503,649,649,284,107,503,282,502,502,649,282,500,501,800,501,503,501,502,501,502,476,500,800,502,649,800,649,765,502,800,500,919,500,503,501,501,501,502,800,800,502,502,503,16,502,502,500,501,501,800,503,800,500,500,501,503,500,502,649,649,502,501,871,501,800,649,649,503,800,500,282,800,500,649,678,503,800,649,500,800,503,282,501,503,99,800,800,500,500,800,282,502,503,503,882,282,800,107,800,503,504,503,649,171,148,501,800,889,764,688,503,649,563,800,649,800,501,668,400,502,503,503,500,553,501,500,500,649,501,649,649,16,500,503,500,16,501,649,502,503,502,502,500,16,500,800,800,501,649,800,504,282,988,800,503,502,503,502,503,840,503,502,16,503,746,503,707,800,649,925,800,502,800,501,282,103,800,502,500,501,501,16,282,502,282,501,480,503,503,501,800,500,500,502,85,800,500,503,662,500,500,282,501,979,800,502,501,501,500,504,16,501,503,282,500,282,16,503,501,504,500,501,501,502,501,501,800,800,704,800,107,502,282,800,649,800,800,503,501,243,503,649,503,502,649,684,502,649,502,800,649,501,500,649,649,501,16,282,501,984,504,504,501,500,800,503,502,503,649,800,500,500,16,503,503,500,502,500,800,800,501,800,501,800,500,500,649,503,503,502,282,501,492,503,800,649,501,500,282,800,16,503,16,649,502,503,597,502,500,503,500,501,800,800,502,503,282,500,111,501,500,107,502,501,282,649,500,16,504,816,800,800,597,500,500,649,649,649,500,501,501,800,767,800,800,502,502,649,800,502,501,502,528,500,503,500,800,503,525,588,501,501,800,500,500,500,561,502,500,282,103,800,501,501,503,503,503,709,502,800,503,282,501,501,502,501,16,500,649,502,504,649,282,501,649,500,502,282,500,282,649,649,649,503,649,503,500,500,503,103,112,504,948,502,504,649,502,282,503,282,500,649,500,649,679,800,800,522,649,800,800,501,501,500,3,282,800,502,800,649,501,800,503,361,503,501,292,503,501,503,500,501,502,61,649,502,503,68,503,800,501,500,502,107,282,500,502,501,800,502,502,369,502,500,504,503,501,500,501,282,445,500,503,501,94,41,501,998,502,800,500,501,504,649,501,502,503,500,649,685,503,103,100,503,502,800,537,649,500,282,501,649,502,282,595,501,282,503,503,800,800,501,738,502,917,501,503,727,800,503,501,649,16,282,500,800,787,282,503,649,504,800,501,501,800,491,800,503,502,649,502,649,112,502,501,503,580,501,502,503,16,500,800,282,601,821,503,500,502,503,800,282,763,501,649,251,502,500,503,800,800,502,502,16,723,800,502,503,501,705,502,800,502,800,500,282,500,392,282,282,502,800,339,800,501,500,500,800,501,682,800,503,800,503,500,649,271,503,649,503,501,502,502,503,16,800,107,282,800,649,800,504,800,502,503,65,502,503,800,649,800,502,503,502,800,504,800,800,649,500,503,202,501,649,500,150,649,500,768,502,800,500,800,503,502,800,800,800,800,876,110,158,589,649,504,800,649,740,747,501,282,502,649,800,501,282,649,500,500,501,502,500,838,333,500,800,501,501,503,503,502,500,501,800,282,500,503,172,800,800,503,282,501,501,502,504,500,282,503,800,501,500,800,800,649,649,649,826,502,282,502,503,503,16,921,500,504,16,800,800,6,212,107,501,501,649,500,787,800,282,504,501,503,501,502,245,282,503,502,800,503,649,64,502,502,16,502,16,107,800,501,501,282,503,800,649,561,503,282,426,800,500,501,800,504,582,500,500,503,501,502,503,500,800,800,504,282,800,503,761,386,282,502,501,501,502,649,500,500,503,500,502,800,502,502,354,501,961,800,800,502,282,503,503,245,503,503,502,500,503,649,501,282,502,501,800,501,282,502,800,16,649,107,501,501,501,16,173,632,649,21,502,501,501,503,503,800,502,146,800,282,976,282,503,800,800,649,115,622,832,649,175,500,503,649,16,502,502,500,500,503,800,503,160,500,502,503,649,500,800,649,649,282,649,503,800,649,800,504,500,266,367,323,800,649,282,500,438,193,649,501,649,503,649,503,501,800,800,282,649,502,503,503,501,503,500,800,282,800,586,800,649,500,649,503,16,480,649,282,800,503,282,718,503,501,503,502,800,502,501,757,815,503,503,503,503,947,503,525,649,800,501,501,502,571,649,800,649,800,282,500,800,500,503,311,503,500,502,800,911,501,800,500,16,800,502,430,649,649,503,503,503,501,126,501,791,800,800,500,241,502,649,503,107,344,502,16,800,502,800,649,502,501,649,501,500,191,503,517,500,502,500,705,500,502,501,501,282,107,800,107,501,649,351,720,649,501,282,502,503,503,502,500,282,500,649,145,282,800,501,500,668,501,649,800,23,440,191,16,500,103,502,503,649,502,502,282,800,446,500,501,649,501,16,502,501,295,503,282,800,592,501,649,501,503,502,502,800,800,500,800,800,503,431,649,500,504,16,649,503,500,500,282,503,503,649,501,649,501,800,500,16,800,16,649,649,242,502,502,282,405,800,503,503,501,501,800,847,501,282,546,500,649,503,500,649,249,503,500,501,649,107,501,783,649,502,649,16,649,502,503,503,649,649,800,501,500,398,282,649,231,649,500,502,500,800,502,427,794,800,649,504,501,16,500,503,502,502,649,500,502,501,500,501,500,501,500,500,649,502,107,800,502,501,501,501,282,503,582,649,649,800,501,500,503,649,501,173,649,282,500,503,649,649,503,649,500,16,500,800,503,503,800,503,649,478,800,649,502,16,229,107,873,800,503,501,16,800,503,107,503,500,800,649,501,502,800,502,649,16,503,502,500,501,649,501,501,502,800,800,503,502,503,503,649,501,16,662,502,502,502,502,502,800,16,503,503,500,501,501,649,500,721,800,103,734,282,503,159,800,503,741,503,500,502,800,16,857,649,502,649,649,504,898,282,649,282,503,649,175,503,502,282,800,503,503,800,503,501,800,503,140,649,282,649,500,504,800,16,800,649,503,500,649,502,649,282,649,502,282,503,800,501,500,502,502,503,500,503,215,800,500,800,502,501,16,500,502,501,472,499,503,649,282,800,502,503,649,502,500,649,289,501,503,307,649,800,928,649,501,800,502,503,502,649,800,16,794,501,968,623,649,503,502,500,282,503,501,800,502,503,501,503,502,649,16,422,500,679,282,236,800,503,500,649,502,502,68,500,317,503,501,500,504,100,523,502,555,500,103,502,501,649,502,532,502,501,649,500,800,649,501,649,282,502,42,649,503,649,663,649,649,503,962,649,501,800,800,503,649,800,501,503,282,282,649,800,503,503,107,922,649,282,500,500,501,501,649,502,282,529,282,218,503,503,502,500,501,649,691,501,929,800,649,282,282,501,800,282,16,500,282,16,649,501,103,502,800,801,800,97,800,501,282,503,502,800,732,503,800,503,832,503,500,649,501,501,800,501,502,649,649,16,800,503,649,274,504,500,503,502,501,262,835,67,649,649,503,503,501,282,649,502,649,282,16,501,500,502,800,649,800,500,649,282,800,501,649,502,501,502,800,502,501,502,501,500,501,440,503,800,107,501,282,649,504,500,61,501,503,103,285,150,366,503,441,501,649,800,107,500,390,500,649,800,649,503,800,510,282,800,800,504,649,500,501,503,649,649,264,800,649,500,501,649,800,16,503,282,727,649,282,502,800,705,501,502,500,500,501,649,502,503,501,500,800,282,910,502,501,501,649,503,282,282,282,501,504,501,649,107,800,649,282,501,500,500,501,503,501,800,501,800,501,936,501,503,504,282,501,503,820,800,502,502,800,503,503,282,649,649,502,503,503,501,800,501,16,500,502,16,107,502,649,700,800,16,326,501,503,503,800,282,421,649,282,500,501,800,503,500,649,501,649,800,503,103,503,500,800,503,16,800,66,503,502,282,16,502,948,800,800,16,800,502,649,282,501,800,502,800,800,800,800,649,501,649,502,16,501,502,502,282,501,503,649,500,500,501,800,501,502,800,196,501,649,502,501,800,800,800,649,800,649,649,649,502,800,503,503,502,108,649,295,503,501,940,649,800,103,501,502,500,500,800,502,800,502,800,282,800,800,649,282,501,500,327,282,501,503,502,502,800,503,503,502,48,800,500,16,800,502,649,800,107,16,500,649,649,501,502,934,502,500,500,107,500,107,501,500,502,502,649,502,501,501,501,800,503,502,500,16,503,800,518,800,503,502,282,800,800,500,501,503,502,413,107,502,453,800,501,800,501,503,107,649,754,503,503,503,278,282,649,506,503,282,282,649,502,502,500,649,500,503,800,800,503,16,502,282,800,503,800,501,501,800,501,588,282,429,881,501,800,500,503,649,502,502,876,360,16,501,503,649,500,500,500,282,76,502,503,500,503,649,800,503,500,500,420,800,500,502,800,502,500,736,502,502,800,619,502,500,503,649,993,503,16,504,441,500,772,502,649,649,282,500,16,500,800,502,427,703,282,502,501,800,502,500,800,534,501,16,503,503,501,502,501,502,504,800,189,800,501,649,501,500,282,500,500,287,500,500,502,500,503,502,500,107,589,282,501,503,649,503,16,800,796,800,2,503,282,500,501,503,500,332,649,500,501,703,720,502,501,503,502,502,502,779,500,472,16,503,501,16,16,282,501,504,503,800,503,501,800,269,500,500,649,490,500,500,501,800,503,649,504,264,500,649,16,16,500,503,577,502,501,502,649,502,503,649,502,503,502,500,227,502,800,501,503,500,500,502,500,800,503,500,800,800,500,503,502,501,649,503,807,502,649,500,649,501,216,501,491,502,501,500,800,501,501,781,501,800,503,502,503,511,443,800,932,800,501,282,800,282,800,503,500,320,649,503,503,649,501,502,501,501,649,800,295,503,1000,500,649,792,501,649,502,502,502,649,721,1000,502,649,649,502,502,800,501,282,503,850,649,500,502,282,827,503,990,503,726,503,501,503,502,103,502,800,800,16,500,502,504,282,503,498,503,502,503,503,16,16,800,503,500,800,501,170,500,503,663,649,686,503,503,502,408,282,503,503,503,503,502,501,282,502,502,800,800,282,819,649,501,500,502,953,91,500,503,500,393,500,500,500,800,282,502,429,500,878,649,282,500,501,800,482,501,501,649,16,503,500,501,649,282,502,503,500,502,502,503,210,649,500,107,502,649,502,503,502,407,502,503,503,503,710,649,800,800,501,502,500,500,899,501,282,649,500,500,649,500,500,503,649,649,502,649,500,501,501,502,476,503,649,282,501,800,501,501,282,649,502,503,500,503,501,282,649,502,800,16,503,501,795,282,501,410,649,502,503,500,501,649,502,649,649,800,500,500,800,649,800,282,107,800,282,501,503,503,107,16,502,502,502,500,544,503,504,311,501,38,500,282,649,503,502,800,649,800,500,282,501,501,800,500,800,501,500,501,503,501,504,502,500,502,504,500,16,500,649,547,282,500,502,800,284,504,649,502,649,282,729,501,502,504,502,500,500,282,500,503,800,501,800,16,800,501,800,504,800,500,500,502,500,649,501,16,358,800,649,370,502,500,332,502,501,649,800,503,500,502,500,257,649,504,800,502,503,501,16,501,503,503,502,503,503,503,79,502,106,503,282,800,501,282,502,503,503,500,282,502,502,954,800,800,502,502,504,649,501,2,649,800,103,501,16,800,655,503,649,502,502,502,282,800,487,500,649,422,502,502,501,500,501,502,500,800,107,16,282,502,16,282,16,500,649,282,800,649,590,502,481,800,282,282,500,504,282,800,16,502,673,503,500,649,800,800,502,502,502,800,500,16,180,502,500,590,502,500,649,503,501,501,503,649,500,649,549,500,282,649,503,503,500,500,282,610,800,649,500,159,800,649,800,800,503,649,649,469,63,649,501,500,649,504,502,502,282,501,501,503,800,503,503,502,501,502,877,649,503,502,502,649,500,800,882,503,500,501,502,649,282,503,649,501,139,800,16,800,500,501,800,282,16,502,282,500,500,800,107,501,503,503,502,428,501,502,649,797,649,282,16,87,503,282,503,800,653,515,800,649,282,282,772,502,601,503,800,503,649,282,502,501,800,649,277,649,503,103,282,834,649,500,500,501,500,796,800,649,178,259,501,649,800,503,423,345,649,502,504,504,16,177,649,503,800,800,501,800,800,503,107,502,282,805,800,649,282,500,800,502,500,166,649,304,800,501,501,16,800,503,501,800,503,25,649,800,60,282,500,882,900,503,16,500,503,502,503,163,800,169,503,500,800,501,503,282,649,282,282,503,800,501,502,503,718,501,800,500,649,649,649,501,501,501,800,282,800,836,502,502,500,800,649,503,502,502,504,800,800,282,649,501,649,500,800,501,649,107,503,16,501,501,501,63,503,800,282,502,503,503,500,727,649,500,502,649,855,501,16,649,890,800,800,502,500,502,503,502,16,649,501,500,282,503,501,500,31,800,800,649,501,800,559,500,660,501,402,649,800,800,503,800,502,500,503,503,800,500,501,800,969,613,116,649,107,649,500,500,649,800,649,501,503,503,462,649,502,501,649,501,563,500,800,503,649,501,500,929,649,78,649,282,649,501,500,649,502,414,800,308,503,649,282,282,800,107,649,800,501,112,800,275,501,500,502,282,800,800,344,649,800,502,500,503,503,800,504,501,801,649,501,503,502,649,500,418,502,501,649,503,502,495,503,502,152,800,16,503,800,379,649,282,649,501,501,649,503,501,363,800,102,211,422,503,503,997,16,500,501,503,501,502,282,501,444,501,503,800,800,800,501,503,503,649,16,282,503,500,800,503,502,501,606,500,649,501,297,502,504,500,107,500,501,16,800,800,502,800,503,501,815,502,219,501,16,501,649,501,501,694,501,502,503,800,500,281,107,411,500,720,501,782,649,250,503,500,800,649,800,973,503,800,500,503,501,501,362,501,503,170,502,800,503,501,500,502,502,800,800,502,282,501,800,504,649,502,502,501,501,502,500,800,282,502,503,500,649,502,502,649,766,501,503,69,501,800,812,909,502,503,503,500,500,503,282,502,502,502,375,282,890,800,282,500,800,500,501,503,502,503,502,501,800,467,504,649,501,282,485,262,502,649,500,503,649,500,649,800,649,502,19,649,503,107,649,282,503,501,500,800,107,16,502,503,585,800,502,282,503,500,282,502,649,501,503,135,107,502,500,16,576,500,501,800,502,649,503,649,502,800,502,575,16,800,649,500,503,800,501,16,503,16,503,502,502,500,500,500,649,201,282,503,501,503,500,800,502,500,500,502,502,800,503,503,282,503,800,500,649,282,411,379,503,501,800,649,503,502,502,800,800,16,666,800,503,503,501,649,16,502,800,994,649,501,800,500,500,501,502,502,107,16,501,800,500,282,503,427,649,500,800,500,16,649,800,42,633,501,282,502,502,500,502,503,649,282,16,500,159,16,899,800,500,320,649,282,502,649,813,649,502,502,502,500,282,500,501,649,649,503,502,502,968,258,800,800,107,503,502,501,270,800,500,501,502,502,810,82,500,502,134,649,502,502,800,649,500,649,800,501,501,16,193,501,491,502,503,500,503,503,503,800,503,800,502,503,502,800,501,16,501,500,800,503,500,502,327,503,49,501,503,306,800,500,501,585,107,139,649,649,503,282,800,503,500,500,504,502,504,649,800,503,111,939,503,502,502,502,500,502,16,501,501,649,649,800,649,800,800,800,500,800,503,503,815,800,500,501,500,50,107,800,16,969,503,502,502,315,503,157,498,649,649,500,164,501,503,502,504,916,503,282,800,502,149,282,503,649,649,649,282,314,800,649,503,800,940,282,444,282,649,311,500,501,500,500,800,502,800,521,408,500,16,500,572,16,502,282,500,501,800,649,501,647,502,649,503,503,649,502,103,649,503,500,800,502,649,944,649,800,500,523,503,503,16,711,326,503,500,502,103,112,501,500,502,807,503,501,502,800,502,502,282,107,502,501,501,502,502,649,500,502,501,800,282,649,500,501,500,282,617,276,502,649,800,502,503,649,501,500,500,500,138,649,502,501,503,156,649,800,800,649,800,800,502,502,501,503,800,503,649,156,504,504,649,86,501,800,649,649,500,500,211,503,500,924,274,500,500,501,649,282,503,504,860,503,704,501,502,800,503,649,500,282,504,649,503,501,800,502,503,502,461,502,500,501,500,800,500,800,649,649,800,503,501,16,501,502,502,501,649,107,282,501,800,966,501,501,649,282,503,800,503,502,800,800,649,503,282,649,503,501,500,810,500,502,502,501,800,500,502,503,282,800,419,282,501,503,501,649,502,211,503,501,649,502,501,282,16,307,502,282,800,501,16,51,500,500,501,800,503,16,503,501,503,282,500,500,501,503,502,501,502,649,649,500,773,282,503,800,500,985,908,502,799,501,765,502,649,500,502,897,501,800,896,800,16,774,800,800,649,800,800,500,502,502,649,649,16,800,501,500,430,282,501,282,213,16,800,500,800,546,503,503,502,500,502,503,501,282,614,236,503,501,800,502,800,501,800,503,501,503,501,742,500,500,504,500,503,500,511,16,649,800,501,500,649,461,502,380,500,649,500,501,273,24,800,501,503,503,282,500,282,503,16,800,800,282,502,501,500,503,800,500,800,503,502,76,501,503,649,663,503,649,500,500,649,504,503,506,607,501,649,501,502,500,501,503,502,282,502,826,502,500,567,502,503,378,500,649,503,649,800,282,16,503,49,500,389,502,500,107,390,282,282,501,800,502,504,502,734,503,282,800,434,501,16,502,800,502,502,500,800,649,16,502,500,503,502,649,282,501,502,501,501,501,503,800,282,938,503,649,500,103,649,502,500,502,800,16,501,501,500,502,502,501,502,501,501,800,501,865,649,501,282,500,502,392,800,500,500,649,719,649,502,649,502,649,501,501,503,503,500,502,502,504,649,907,800,502,282,502,16,649,542,500,649,501,649,956,503,500,501,282,503,502,501,282,503,500,500,501,503,958,503,157,906,503,16,502,16,282,512,501,501,501,503,500,649,649,514,500,503,649,800,502,282,500,800,800,800,501,649,500,420,282,500,500,456,504,649,611,503,500,765,502,549,502,502,282,807,282,649,503,500,502,482,501,33,500,103,282,659,500,503,16,501,800,502,107,800,500,282,501,800,502,501,282,500,282,502,16,502,502,282,800,649,501,500,501,800,500,360,649,501,800,500,502,649,500,800,500,500,800,500,282,800,16,500,502,500,502,503,502,501,649,800,503,502,503,501,617,527,32,758,800,75,171,501,649,500,800,800,501,800,500,282,16,800,503,503,502,649,501,502,502,503,501,503,500,500,649,103,500,500,500,800,9,282,649,282,500,282,282,502,800,649,800,800,282,800,800,502,649,282,649,501,649,282,503,482,501,503,503,108,500,500,489,500,501,649,649,500,282,800,502,930,503,502,800,649,593,800,502,503,501,501,503,225,968,800,501,649,501,502,576,503,501,649,501,502,502,16,500,14,502,649,270,500,649,282,503,504,501,503,503,800,466,649,649,502,502,501,800,800,282,800,503,502,503,503,502,502,500,107,501,503,39,649,503,282,500,649,501,500,313,502,649,501,282,282,503,800,503,502,649,649,800,501,282,282,500,500,504,502,649,502,500,501,502,649,788,500,500,500,103,709,500,800,800,503,501,16,882,501,649,502,500,41,800,500,500,800,502,502,502,800,800,501,502,503,649,649,16,502,501,282,649,800,501,649,167,292,500,501,800,501,500,800,500,501,501,502,103,501,502,282,502,501,502,107,500,502,503,503,500,500,503,502,45,500,518,649,282,626,649,502,500,16,725,678,649,500,592,649,516,649,500,500,501,502,649,765,502,501,800,503,501,500,502,500,800,500,178,800,16,649,500,16,502,503,800,649,649,502,500,282,501,979,649,500,107,649,649,501,500,800,649,504,503,800,501,503,282,500,164,501,501,282,500,649,502,500,501,800,501,649,501,502,282,800,705,800,501,800,501,282,502,282,501,26,503,924,503,956,649,282,502,466,503,503,503,649,500,16,503,374,502,503,501,649,282,282,649,503,503,93,649,649,500,649,649,282,16,500,501,800,649,649,282,16,649,503,500,502,649,800,501,649,501,502,282,703,800,500,649,896,800,649,649,501,103,501,502,649,653,503,501,282,503,800,503,800,502,800,503,799,501,649,649,200,741,649,500,800,500,500,502,500,800,501,649,503,585,503,501,800,500,502,912,502,503,502,278,502,282,503,500,649,501,327,503,501,282,501,500,502,501,15,673,649,502,637,249,503,936,800,503,434,500,500,500,800,500,282,500,282,16,494,500,500,800,502,500,503,800,474,649,503,500,649,282,500,501,503,501,502,503,501,800,800,501,503,800,649,500,455,649,502,523,500,500,502,804,255,649,635,342,649,800,649,503,502,500,501,503,500,503,502,502,659,500,501,500,502,649,800,500,16,501,503,800,501,649,500,649,649,649,503,503,649,649,800,800,503,503,282,649,457,800,501,501,503,649,501,705,501,500,501,500,649,502,800,503,16,800,503,502,502,800,500,282,807,502,500,503,501,649,502,501,282,800,500,501,500,503,800,501,800,649,800,501,649,502,503,500,501,555,503,748,502,800,649,500,800,501,501,503,501,501,502,800,16,501,800,649,502,814,501,503,500,500,16,500,282,500,16,296,800,500,502,503,734,501,649,800,800,282,502,501,649,502,502,800,503,649,1,800,500,430,282,501,503,649,501,500,503,502,303,649,800,869,502,590,282,501,504,503,502,501,800,503,502,16,649,501,649,328,800,501,502,16,16,501,262,502,713,264,500,649,502,502,282,16,502,503,703,282,742,649,649,502,504,500,501,649,502,502,895,800,649,500,504,502,649,502,502,800,141,649,503,500,500,674,504,500,800,502,503,503,701,16,501,503,48,282,503,502,800,16,282,800,800,16,500,649,649,502,395,500,800,501,649,16,500,501,800,501,500,800,501,501,649,501,500,800,502,501,649,649,800,800,649,176,982,800,16,503,503,503,282,502,800,800,503,412,502,282,503,504,502,649,649,503,502,800,502,503,503,649,451,282,501,503,501,503,501,100,500,8,282,282,514,77,503,503,649,563,5,500,502,501,500,282,600,501,800,649,800,107,800,649,800,107,114,500,502,503,658,501,503,649,16,800,282,502,649,504,503,501,800,502,486,649,502,800,800,649,501,649,649,334,502,800,501,107,361,800,501,317,503,500,800,503,504,503,332,402,503,501,649,53,282,503,501,500,800,282,501,193,759,503,649,282,800,503,986,503,649,800,282,282,503,503,800,500,501,500,649,502,410,504,649,502,649,800,16,503,649,800,504,705,670,766,985,837,500,34,282,435,649,501,282,504,649,282,503,502,800,649,791,943,107,501,649,504,282,500,16,503,500,800,649,501,500,503,502,503,800,649,500,501,800,503,504,800,21,502,500,503,500,501,503,800,649,800,103,649,500,501,649,567,500,282,503,800,649,800,501,800,500,800,503,649,502,502,365,800,649,649,282,800,500,503,800,503,649,503,800,282,282,800,501,501,501,503,282,800,800,503,800,503,282,502,503,800,500,649,500,517,649,503,501,503,800,16,800,501,800,502,500,501,16,800,501,500,282,649,500,501,502,103,649,501,282,784,282,649,282,500,503,16,20,800,502,16,500,859,800,501,501,402,501,649,282,35,502,501,895,746,500,501,503,500,502,500,503,500,503,800,502,800,503,502,800,503,501,501,501,16,649,503,649,502,502,504,500,726,503,501,800,502,502,282,500,503,503,500,503,500,800,800,500,504,503,502,800,501,502,282,800,67,500,107,503,631,500,500,503,501,501,649,500,504,501,502,16,800,649,503,502,142,50,501,501,500,503,800,800,502,500,800,188,503,16,503,282,649,503,504,649,492,501,502,649,501,800,800,502,68,503,501,502,800,503,282,282,501,502,800,649,501,739,800,649,649,503,500,500,500,16,16,504,501,16,282,502,562,501,11,503,502,501,503,649,894,800,503,503,503,501,500,500,807,16,500,649,501,346,778,649,501,503,502,301,282,500,503,282,500,16,503,502,16,502,800,503,649,649,503,800,500,500,800,649,503,649,501,502,649,932,501,7,649,500,231,503,504,503,500,321,502,282,649,649,501,500,503,502,501,500,503,501,503,800,500,800,501,282,968,502,502,800,800,503,103,282,502,422,502,649,502,503,800,502,501,80,800,502,502,649,800,673,649,800,502,344,503,726,800,501,649,504,838,800,500,244,502,649,501,500,500,800,313,282,500,800,474,501,800,800,58,504,571,282,282,649,16,503,800,501,698,649,501,282,211,649,501,660,800,503,503,800,649,649,353,502,800,503,649,500,503,500,500,649,502,649,392,503,103,649,649,107,800,502,501,282,501,501,649,500,101,503,370,502,800,500,800,800,103,649,800,800,501,503,501,282,800,341,649,800,649,501,502,649,503,502,544,503,500,987,626,503,107,502,557,649,503,502,502,16,649,502,649,16,282,501,809,500,502,107,502,501,503,502,800,502,500,800,800,282,800,502,503,503,500,502,100,501,501,500,5,500,107,800,501,502,798,500,502,503,463,800,282,503,502,16,752,16,282,503,501,649,503,800,501,800,501,500,16,500,282,649,500,800,501,503,649,502,282,500,649,280,501,800,500,502,766,649,31,500,967,282,310,649,501,503,649,500,502,502,500,501,282,348,500,500,649,519,282,16,500,502,435,282,282,502,16,15,800,503,503,501,500,773,503,503,501,504,504,501,649,502,500,649,503,800,711,282,800,503,503,16,500,502,800,282,500,649,16,115,389,282,503,649,503,502,500,501,649,502,649,503,502,800,649,501,501,500,390,822,502,282,503,501,649,800,649,436,502,500,500,502,649,503,503,649,649,503,502,500,501,503,502,16,649,649,503,800,501,649,282,649,649,501,649,800,800,831,504,503,800,16,503,649,800,603,3,16,502,500,649,502,103,504,282,800,800,649,649,502,502,282,800,800,649,501,282,282,502,502,503,603,502,800,503,800,800,649,282,501,800,282,800,16,502,823,503,501,99,503,503,502,800,869,16,500,649,502,649,501,800,800,676,500,649,282,800,649,800,500,503,500,500,282,800,344,500,282,252,649,800,500,501,505,504,282,500,649,282,503,16,500,501,502,501,503,649,649,282,502,504,800,800,800,800,500,282,800,503,502,501,557,107,229,649,16,503,500,16,503,649,16,800,282,501,800,649,500,800,501,501,489,649,502,800,502,16,503,800,502,649,800,503,500,503,649,503,282,501,649,800,16,164,503,502,649,501,800,502,557,500,503,649,500,501,503,500,800,800,503,849,503,501,649,500,800,501,800,501,103,800,502,590,501,501,282,262,502,952,282,800,500,282,503,501,800,649,800,500,649,503,800,501,503,913,503,503,502,503,649,501,502,16,649,503,649,502,513,649,500,502,500,502,502,649,107,501,500,503,800,501,282,837,418,501,649,502,500,501,500,503,503,800,501,16,501,103,800,334,800,16,16,500,503,649,800,501,649,800,800,500,694,501,500,503,501,501,282,974,649,649,502,282,503,649,800,731,503,282,502,649,501,103,800,502,619,800,282,800,800,935,502,502,501,502,504,649,649,800,503,501,500,800,649,649,649,500,788,503,501,500,649,500,653,649,502,503,502,500,649,501,502,503,800,282,501,649,282,501,501,649,282,800,282,649,793,501,506,501,501,502,800,16,500,57,16,800,800,503,501,800,618,9,282,502,500,502,157,502,697,800,16,500,8,649,415,800,503,501,501,500,800,502,501,800,504,502,800,503,503,501,705,649,501,501,649,919,500,649,800,649,501,501,500,503,500,282,503,500,190,501,282,649,282,503,502,16,649,169,503,503,503,282,501,501,501,649,503,800,800,503,501,500,282,503,503,282,16,517,502,282,501,501,649,540,790,503,649,501,282,16,204,282,500,500,500,502,501,500,502,503,410,282,522,800,893,800,503,282,807,800,503,649,502,282,501,502,649,501,501,649,501,800,678,503,502,501,649,501,800,800,679,16,649,500,502,16,472,649,503,502,501,501,502,800,501,502,501,282,503,282,376,503,501,502,502,649,502,503,347,500,501,502,953,16,502,800,151,501,16,500,503,649,502,454,501,151,502,800,501,800,649,500,501,502,16,800,282,501,264,649,96,504,800,282,800,503,800,500,503,429,503,800,500,649,502,500,800,503,649,800,503,346,503,502,502,501,705,503,649,282,503,500,501,649,502,500,502,503,649,16,16,800,800,649,649,409,800,502,16,649,501,282,282,307,500,500,800,107,800,502,501,501,500,503,503,502,503,502,500,450,501,968,500,900,463,500,649,501,800,819,390,649,649,500,504,282,500,800,800,503,500,502,500,223,649,103,501,16,649,502,107,501,649,649,500,800,16,16,74,448,32,503,800,282,649,282,649,649,501,250,766,800,503,649,649,503,501,502,502,16,502,436,522,501,501,500,501,800,800,727,932,502,500,649,487,426,649,800,503,948,500,800,649,503,503,282,282,347,864,501,800,503,16,501,649,800,500,382,800,502,807,649,503,500,500,501,103,500,649,501,501,502,403,500,404,503,503,649,500,378,800,503,503,107,500,655,91,502,500,282,800,500,16,503,282,503,748,575,501,107,500,500,649,500,500,500,800,282,49,501,503,501,16,503,501,501,282,500,800,503,503,500,501,800,502,443,503,503,503,649,800,800,649,502,950,502,282,502,705,649,800,800,503,503,800,502,800,800,205,282,503,500,502,503,502,564,500,500,501,501,649,282,500,503,282,503,503,502,337,649,669,800,502,503,16,503,649,500,500,502,501,649,503,502,501,500,649,112,282,800,502,500,282,800,500,649,649,800,500,500,501,649,502,501,807,501,282,500,800,502,649,503,1000,687,800,500,500,501,504,502,649,503,704,500,282,800,502,146,282,649,800,107,500,649,501,16,800,503,503,649,500,500,800,282,500,800,800,501,282,800,584,502,502,579,800,503,502,649,16,649,502,503,503,503,503,501,282,282,500,500,16,649,800,500,107,800,500,16,501,500,800,501,800,282,282,649,502,502,501,282,469,502,502,800,503,800,502,800,980,500,503,800,501,604,282,503,500,103,500,501,800,500,24,649,502,16,282,502,502,502,800,504,282,282,503,501,282,649,502,500,16,500,943,500,503,800,800,800,501,502,649,649,503,925,502,260,800,501,800,282,542,883,502,204,800,140,649,503,501,500,800,500,79,503,649,501,87,282,503,501,504,800,964,16,415,502,282,800,800,107,503,800,649,504,503,501,800,502,16,649,282,282,800,282,500,501,913,649,16,502,103,282,800,501,500,500,502,649,649,16,514,501,800,883,500,282,800,502,282,502,649,502,912,502,503,649,501,501,502,649,649,502,502,503,503,16,502,16,503,800,649,267,502,502,500,649,500,502,503,500,800,800,800,649,649,800,502,800,16,503,503,503,504,503,502,503,800,107,649,502,649,800,500,282,500,524,503,502,503,282,502,503,800,800,502,500,103,189,800,503,103,503,503,502,502,649,501,282,501,425,738,503,504,811,649,752,151,500,502,502,500,503,282,649,503,501,501,800,500,763,649,501,500,649,16,800,282,800,501,501,501,502,503,502,501,502,800,16,503,501,649,503,452,500,800,502,800,800,649,500,107,501,502,501,336,503,501,800,999,500,502,282,800,503,286,500,503,800,503,800,649,500,282,503,503,952,503,649,649,649,649,500,501,705,500,649,800,282,503,649,502,502,501,649,501,649,501,649,130,500,500,282,649,800,649,501,503,649,800,503,502,503,500,500,503,503,501,503,649,502,282,106,699,334,800,16,649,649,505,649,800,500,800,500,500,503,800,500,282,502,419,501,649,800,800,501,39,800,500,502,503,251,501,503,501,649,16,500,500,500,502,501,649,800,500,504,502,800,501,502,501,501,501,503,502,800,3,503,502,500,39,282,501,500,649,282,559,282,500,503,800,502,336,502,502,808,16,16,649,800,282,503,502,800,133,16,800,501,649,501,103,649,649,649,800,800,800,500,501,800,502,500,501,501,503,800,669,500,501,649,500,502,282,502,502,807,16,500,504,503,282,107,649,304,503,501,503,501,500,103,282,16,501,502,503,504,500,502,500,282,800,503,502,502,67,502,502,503,860,649,649,503,814,800,103,500,16,800,500,502,800,500,502,501,503,649,800,502,143,502,501,502,500,503,500,501,800,180,913,501,111,282,800,501,282,800,115,800,503,502,501,500,501,828,591,649,500,282,800,503,282,649,502,16,504,501,503,501,16,504,502,649,502,649,503,649,503,649,502,649,501,75,370,800,500,503,338,282,503,581,500,501,800,649,649,632,282,500,454,502,282,282,500,500,502,891,500,320,500,502,501,500,501,503,501,503,107,282,502,500,502,503,501,500,649,504,500,649,500,501,500,502,649,107,282,282,502,503,500,503,649,192,500,501,503,649,502,503,800,800,677,800,503,16,649,649,501,501,705,502,503,501,500,502,503,502,500,502,501,502,814,800,800,502,39,502,649,800,504,107,501,649,501,502,800,500,501,501,500,500,649,733,649,800,195,494,503,500,16,282,649,261,502,42,502,503,800,649,282,800,282,800,502,282,800,503,503,501,649,501,502,502,282,946,800,503,649,800,502,504,649,649,503,502,502,571,899,282,800,502,649,503,500,501,620,649,282,503,801,800,849,800,932,502,500,500,503,501,800,503,592,649,502,501,503,502,800,282,649,504,472,649,214,225,800,500,500,503,502,16,500,503,504,501,500,762,800,502,800,501,502,16,649,503,800,503,649,107,500,800,500,502,282,500,501,282,637,502,451,649,500,649,823,800,502,282,16,501,649,649,649,800,800,503,649,500,649,500,385,501,649,500,649,501,503,503,502,800,649,649,500,15,282,800,800,107,798,127,16,502,500,16,500,807,501,501,103,500,501,502,800,502,503,501,800,501,500,800,501,800,501,504,503,649,502,500,649,800,501,500,503,503,502,800,500,500,500,502,282,649,800,282,800,500,501,649,800,997,282,502,371,500,502,501,502,501,502,800,16,649,500,649,714,800,502,501,649,500,800,501,501,649,503,503,500,500,649,502,501,649,503,503,501,502,502,502,16,433,282,649,282,16,500,502,503,501,649,503,800,502,649,503,500,500,649,500,282,723,504,503,353,500,282,16,501,282,705,357,180,649,649,800,16,201,502,500,800,502,500,500,282,500,502,501,649,503,603,500,649,502,502,503,800,822,800,501,502,800,649,503,500,502,500,502,800,504,649,814,502,503,500,500,502,649,800,16,16,16,502,282,503,501,503,503,501,371,282,503,602,502,502,502,504,223,256,800,503,800,800,649,649,500,530,500,501,500,575,800,500,503,282,501,339,504,800,617,503,503,502,649,800,503,920,79,771,500,282,282,649,649,800,376,503,282,503,649,649,502,649,649,500,800,500,502,103,503,503,800,500,800,16,800,503,502,800,502,503,503,503,500,503,859,649,533,800,800,500,502,503,807,836,830,502,536,500,800,502,212,501,503,503,16,282,500,503,16,503,502,503,760,800,501,107,649,501,501,501,649,800,800,503,282,500,282,501,501,649,649,293,500,406,502,649,501,282,502,503,800,254,500,502,532,503,503,889,282,800,502,503,503,800,502,15,502,417,501,503,800,649,16,800,501,800,618,649,501,502,502,500,649,960,501,501,649,800,500,107,649,162,649,501,501,282,503,501,649,583,500,500,282,501,649,800,500,500,934,800,501,800,503,998,503,388,282,800,30,503,500,504,502,502,800,503,503,649,282,500,502,500,16,500,938,16,501,800,649,800,502,214,800,502,500,500,500,502,800,800,16,375,295,705,502,500,500,282,502,649,504,800,500,502,649,501,503,16,282,501,502,649,500,503,502,345,502,503,800,800,500,502,800,503,501,649,282,503,503,282,649,649,800,502,501,649,800,800,504,503,503,501,500,282,649,800,503,800,502,500,501,501,800,470,649,502,500,503,502,282,800,502,504,502,649,503,502,282,503,282,822,503,86,501,649,603,500,502,503,800,504,502,500,500,800,504,800,800,501,503,800,501,501,282,502,649,406,800,800,502,500,502,503,501,501,501,16,16,282,252,282,282,500,800,503,500,502,503,503,502,800,502,503,500,222,502,500,502,282,444,503,502,502,649,503,500,501,649,649,500,649,854,503,502,500,649,649,501,971,229,501,800,503,500,500,503,649,501,649,272,800,500,698,503,503,500,503,548,502,461,800,800,500,826,649,503,800,502,503,16,501,500,503,569,800,500,649,107,503,16,501,16,272,282,501,501,503,800,600,500,501,60,501,501,800,16,503,649,503,502,800,503,500,500,442,501,281,500,639,502,500,504,500,503,501,649,800,502,500,282,800,500,503,649,16,502,501,649,282,282,448,503,765,800,103,800,800,16,501,800,503,502,875,107,502,502,649,16,501,343,800,501,502,503,500,800,503,502,500,800,282,502,500,649,649,352,501,500,501,500,501,500,800,800,503,502,986,282,800,649,501,500,649,500,500,501,800,502,284,501,800,501,649,500,501,500,500,500,502,800,282,503,503,800,503,282,800,500,504,502,28,282,800,503,502,282,800,800,646,800,282,501,502,282,503,755,649,649,649,502,649,500,800,502,641,800,502,649,649,649,282,800,282,16,501,501,501,500,502,108,800,494,501,625,503,501,800,282,502,649,487,501,649,649,649,500,504,500,148,500,390,503,519,282,501,638,800,800,282,839,503,503,501,282,502,502,649,502,16,501,503,282,649,503,500,282,502,521,501,503,800,503,645,800,502,500,500,501,503,502,649,800,500,52,502,501,89,500,16,12,503,503,282,500,503,503,649,105,649,800,282,282,800,503,501,649,800,501,649,649,502,502,800,289,500,502,503,503,649,503,503,500,501,503,502,503,501,800,500,503,282,503,503,800,502,68,503,501,503,282,649,501,649,649,503,282,649,503,500,800,501,800,502,16,16,800,649,649,501,731,501,186,800,500,503,800,500,501,502,354,800,800,282,830,963,60,16,502,32,800,649,501,649,502,800,571,502,282,649,502,800,282,502,954,503,612,501,504,509,800,800,800,649,649,800,282,502,502,503,16,923,282,501,503,282,974,113,800,503,504,282,500,107,649,500,504,502,503,800,500,152,800,800,501,500,501,211,800,897,649,502,107,503,945,692,800,502,503,805,501,502,503,502,30,282,282,504,649,800,502,689,502,502,765,649,500,502,502,649,502,501,800,282,502,503,500,503,649,649,500,579,500,501,500,385,500,502,107,369,502,649,501,500,748,500,502,501,16,800,16,501,501,502,503,800,503,501,649,800,967,502,501,502,282,501,282,500,503,502,603,503,980,503,282,502,800,502,502,861,16,649,800,502,502,800,800,501,500,649,800,649,397,503,800,501,501,500,649,800,501,500,16,357,504,800,501,502,503,649,649,500,649,502,282,282,649,504,503,500,471,500,501,800,500,502,500,500,282,503,633,622,800,858,889,800,541,649,862,503,800,501,282,282,500,502,502,504,800,503,800,649,503,501,503,282,720,649,500,800,282,502,649,800,501,282,502,503,754,503,503,503,500,500,282,800,16,503,800,501,500,500,649,649,501,503,501,649,705,282,649,16,501,503,649,649,503,649,503,502,800,504,800,649,502,500,649,649,800,503,501,800,800,282,16,106,282,500,649,800,502,501,649,800,649,501,800,503,501,503,503,502,500,993,500,502,649,16,503,649,500,649,502,501,800,502,501,649,737,836,649,800,649,501,502,800,16,166,500,502,282,500,649,504,502,800,501,502,649,161,800,501,800,892,751,800,503,649,503,125,649,502,649,504,503,282,649,501,503,500,503,920,595,649,107,501,16,502,503,502,649,500,503,503,800,800,500,16,197,502,500,501,282,849,504,103,282,705,502,501,503,502,107,502,500,502,503,503,649,363,502,500,500,501,503,500,282,502,501,501,500,800,800,500,302,649,282,107,503,800,500,500,500,500,282,800,282,649,16,224,649,800,649,501,649,504,503,649,501,649,500,500,503,41,696,807,440,501,282,649,800,503,999,501,649,807,282,649,282,501,600,652,282,598,25,289,502,649,502,501,800,500,504,502,282,800,649,502,501,649,501,500,649,649,504,649,889,282,501,503,800,800,502,500,800,500,649,500,800,500,500,503,649,503,282,500,649,649,649,503,502,500,503,501,615,649,649,500,800,800,502,500,649,649,501,500,16,504,502,16,502,500,500,800,502,649,800,649,500,547,502,649,107,500,649,503,869,500,649,503,501,800,500,800,500,91,800,500,800,504,501,800,649,503,502,281,814,282,800,16,502,800,503,800,282,649,282,502,500,649,502,800,502,503,649,502,16,500,16,501,16,800,501,649,500,336,503,501,500,734,502,649,502,502,501,503,649,500,484,501,502,649,282,800,500,501,282,503,800,501,500,649,500,649,282,503,649,282,503,503,649,800,16,503,500,501,800,800,500,254,502,502,504,282,500,500,501,282,800,800,500,16,503,649,500,800,500,501,294,800,800,649,501,502,490,215,728,500,649,501,500,800,501,500,501,503,800,500,649,502,501,649,16,500,406,792,553,16,282,282,501,500,503,282,503,282,528,282,649,800,501,503,16,501,500,800,500,436,282,800,501,500,434,800,800,503,502,800,649,503,282,503,649,800,103,502,649,800,503,501,501,800,108,503,501,649,503,502,282,500,503,649,354,861,500,315,501,502,501,503,500,500,2,501,800,502,800,501,282,16,500,500,800,500,502,503,282,649,649,282,503,282,500,107,501,649,502,503,502,649,649,16,107,503,312,930,502,501,282,500,656,649,502,800,500,46,503,107,649,500,502,649,649,16,800,800,649,501,691,800,603,503,649,502,501,502,282,500,800,502,502,500,800,800,282,502,504,649,502,282,649,800,501,705,800,812,618,701,500,501,501,502,500,501,649,829,253,649,603,288,800,503,126,501,501,503,500,16,502,502,649,503,649,501,503,503,503,649,649,733,748,282,219,649,503,649,503,501,800,501,502,500,501,503,500,500,504,16,501,502,282,800,503,503,649,800,282,501,500,649,166,107,649,649,44,649,649,500,503,500,649,282,501,501,503,500,500,503,416,503,501,95,649,665,503,52,502,282,501,783,107,800,500,225,502,282,500,503,502,500,502,500,800,503,649,933,501,501,502,282,500,500,502,501,800,503,501,500,649,501,503,500,16,800,637,502,502,800,800,232,503,338,502,833,503,503,800,503,503,649,501,82,500,800,500,366,501,502,503,504,503,16,503,502,501,255,800,16,46,501,369,102,502,501,500,503,16,502,800,649,500,282,29,738,500,649,501,16,282,504,500,502,800,502,800,744,500,649,649,649,502,502,800,501,500,800,501,16,503,500,890,500,800,502,282,802,649,503,16,800,501,504,503,800,501,500,500,649,503,800,501,649,500,504,649,502,501,502,500,501,800,61,800,800,500,800,502,16,800,503,16,800,501,282,800,503,501,858,649,500,500,503,800,649,502,282,504,502,503,500,107,501,36,649,502,140,800,649,502,417,226,46,649,800,282,107,649,649,800,503,501,504,800,282,502,282,282,502,817,501,501,500,270,501,502,649,502,800,282,503,501,502,282,800,504,503,800,501,502,502,500,502,502,649,800,800,282,800,502,502,800,16,807,649,531,503,649,649,16,502,649,16,649,649,500,502,16,274,502,502,800,503,303,649,649,501,970,800,502,942,800,649,501,502,649,342,496,503,649,800,501,282,107,800,503,649,500,502,502,501,503,988,649,501,501,500,501,952,500,282,501,649,501,502,649,800,649,282,282,503,282,16,649,503,503,502,216,282,501,433,502,282,503,500,503,500,800,500,800,649,696,501,649,501,502,800,649,107,503,502,500,649,282,500,800,503,800,716,502,502,811,282,503,503,800,500,503,16,500,502,424,501,282,500,649,501,344,500,503,503,500,501,800,502,500,500,807,649,16,282,503,502,500,800,503,60,500,649,649,502,500,503,490,501,800,503,649,16,698,800,268,800,344,500,282,501,502,800,282,755,501,500,800,282,500,502,649,247,500,649,16,282,500,800,282,502,502,649,504,649,501,503,502,500,500,502,502,500,800,16,503,751,502,649,649,282,503,500,500,521,500,282,500,502,800,501,103,800,800,933,500,501,649,502,501,649,502,800,720,282,649,500,502,503,800,800,502,147,504,503,500,503,500,649,800,502,502,504,282,800,501,800,16,649,502,649,500,503,503,503,500,503,282,502,503,502,139,35,503,800,649,649,649,502,800,658,714,649,503,504,299,502,649,675,800,668,502,800,503,502,502,502,501,107,503,500,502,503,500,856,501,800,808,200,800,755,800,649,502,503,501,649,500,282,282,800,504,800,502,800,282,649,503,502,800,800,76,502,501,800,649,950,502,502,501,649,649,503,800,503,807,501,16,502,800,503,800,282,503,502,800,330,282,173,777,502,503,649,502,504,649,503,503,649,800,649,147,649,800,800,501,649,500,503,649,282,502,501,503,502,502,800,315,503,503,502,890,500,501,182,503,501,501,501,79,800,16,504,800,503,74,501,800,649,800,501,503,431,502,28,649,649,500,502,800,329,502,500,500,16,807,613,649,16,503,503,864,501,282,16,170,949,800,390,503,501,501,282,682,282,649,503,649,503,500,800,825,800,282,502,501,649,501,500,16,501,800,649,512,501,502,501,501,649,504,282,16,501,282,503,649,282,779,800,501,462,502,649,500,503,649,800,502,501,502,649,649,800,504,501,649,500,44,689,500,503,282,502,502,501,649,502,800,649,501,800,503,500,649,501,282,649,16,503,500,107,649,502,800,503,649,103,500,501,501,282,800,800,503,649,611,649,501,502,502,282,500,501,501,699,266,282,500,503,649,649,649,649,16,502,649,800,800,457,649,503,503,502,800,16,502,963,501,800,800,649,503,500,502,502,502,501,649,503,504,501,503,500,800,282,500,502,800,500,502,500,210,843,502,502,500,16,16,503,649,888,504,501,502,502,800,503,649,382,649,649,500,800,282,800,502,282,503,282,501,502,503,502,503,503,503,501,500,504,502,501,800,304,779,502,501,501,705,800,500,282,500,649,502,109,774,282,282,502,501,649,649,800,502,466,786,800,649,107,649,500,282,503,282,800,502,282,504,800,550,502,16,649,649,16,800,800,800,503,500,800,16,800,503,800,649,501,800,504,649,649,800,500,501,503,459,501,503,502,503,353,649,502,503,649,325,502,502,501,107,845,800,502,649,208,659,192,649,500,16,501,500,503,501,600,502,170,502,715,26,503,502,282,500,649,496,503,705,504,800,504,500,872,500,282,649,501,239,503,503,501,649,502,502,649,501,503,800,500,800,502,501,481,502,500,501,649,649,800,914,500,500,16,503,501,649,501,501,282,282,800,500,282,649,503,906,16,661,503,16,500,503,500,385,649,649,500,500,800,800,500,502,800,503,500,649,649,503,500,503,692,63,503,500,103,800,800,500,649,500,502,502,649,800,501,649,501,800,649,800,502,500,503,16,500,502,501,501,500,649,500,503,500,425,282,503,500,649,502,501,500,502,649,800,960,209,502,224,16,649,431,500,501,503,502,16,503,503,502,501,800,594,502,800,763,570,500,30,16,500,266,16,502,27,501,501,503,103,16,649,552,754,503,503,503,649,500,800,649,502,282,502,502,501,503,60,800,800,500,449,808,502,501,502,107,503,649,649,503,16,649,502,649,649,649,501,500,282,649,502,649,503,500,800,501,830,501,603,192,500,800,649,502,501,501,502,800,454,501,800,661,510,95,504,16,984,501,649,504,800,800,501,800,800,282,503,504,800,501,501,500,503,502,502,502,500,649,842,500,16,148,649,500,282,800,800,500,800,501,502,503,156,800,501,800,649,800,500,503,503,868,649,501,649,800,800,501,800,800,649,502,501,503,500,502,800,502,800,800,502,649,800,649,800,500,503,800,503,502,282,459,504,973,500,800,649,503,501,503,16,649,800,502,649,515,649,503,800,501,712,501,503,649,649,16,503,500,282,800,500,502,649,649,800,501,16,501,800,705,502,649,800,500,800,500,501,501,16,503,784,503,502,501,502,921,649,501,503,501,502,649,793,282,503,649,807,503,800,503,276,589,501,502,500,504,502,500,800,500,800,500,500,501,500,800,503,502,800,501,283,501,502,800,502,282,501,500,502,800,500,282,500,500,16,649,800,16,287,502,649,500,503,274,501,503,649,800,649,107,501,890,797,502,500,502,649,103,904,800,800,800,800,502,800,477,800,800,800,502,800,503,500,503,501,307,800,800,500,660,649,503,502,503,800,649,501,800,16,649,16,501,504,502,649,502,501,504,649,282,500,649,16,649,214,649,500,649,100,502,932,502,500,503,107,547,502,282,503,800,16,649,500,501,712,500,800,282,500,649,500,502,501,502,649,503,500,516,503,649,501,282,504,800,501,800,103,198,502,930,16,649,282,800,502,800,500,649,500,800,294,900,400,500,500,503,500,800,210,501,649,501,756,501,743,501,503,503,975,496,282,503,800,180,502,800,800,306,503,649,807,649,503,775,501,649,649,502,649,977,649,502,502,863,800,282,800,800,733,680,800,800,503,282,649,502,649,649,16,800,16,649,502,500,800,800,503,649,503,103,96,501,16,500,102,649,503,755,501,502,502,107,282,501,649,921,501,800,800,107,649,800,504,502,503,501,503,503,501,503,786,800,504,649,800,501,500,282,649,502,501,502,649,502,503,800,649,649,501,502,705,956,501,649,438,78,649,501,502,649,649,502,813,504,501,500,501,800,502,649,649,497,501,500,649,282,800,500,501,502,502,800,500,800,476,282,16,500,500,503,805,16,800,502,500,503,800,503,800,649,800,503,503,800,680,503,500,500,282,16,500,649,501,649,504,107,502,649,501,502,16,502,800,501,503,501,504,800,502,800,503,503,296,649,282,502,500,282,649,649,501,503,502,649,16,38,107,501,502,663,593,500,501,500,800,107,501,649,501,502,100,282,134,500,500,500,187,502,503,282,649,719,503,500,649,501,502,16,502,503,800,681,503,501,282,502,503,800,502,649,800,500,502,800,500,649,503,503,649,800,501,501,800,649,866,800,501,649,870,282,635,16,649,469,502,666,503,61,800,649,503,800,649,499,502,282,282,282,502,503,503,205,500,503,800,501,107,500,645,104,800,649,800,501,501,865,103,500,649,503,282,501,282,500,504,649,800,500,501,503,503,503,73,800,672,107,502,500,500,800,649,800,800,800,705,502,502,800,103,501,502,500,502,500,501,503,16,282,504,800,500,501,800,649,800,503,703,282,16,502,501,800,503,481,16,87,503,103,502,800,502,501,504,500,330,500,800,282,103,649,503,861,502,16,16,16,500,500,502,107,500,500,503,800,800,502,649,16,649,800,501,502,503,503,501,500,500,503,502,649,501,503,312,943,800,502,27,506,104,503,300,800,205,502,239,800,501,16,500,685,649,504,500,649,163,500,501,38,501,16,502,16,503,500,649,983,674,502,515,941,500,501,107,649,36,504,975,292,503,502,503,904,500,502,649,503,282,500,800,500,800,800,282,501,107,282,502,282,987,689,503,501,282,800,502,501,800,282,504,500,502,107,800,503,649,501,649,503,252,571,800,800,800,500,282,16,501,282,800,649,503,500,649,503,500,500,502,800,800,500,345,649,501,282,649,500,800,502,282,649,502,800,504,337,500,649,502,103,800,500,500,502,500,45,500,800,16,503,501,503,500,791,502,500,500,503,501,501,503,502,500,502,411,500,16,503,957,107,500,503,500,95,500,800,503,781,649,501,282,503,282,504,504,282,500,649,800,282,502,502,503,649,256,503,503,448,503,61,800,800,649,800,503,293,800,500,649,282,800,503,502,649,502,800,500,503,502,503,649,282,503,501,502,649,502,502,649,800,800,800,800,800,503,46,502,649,502,501,649,244,503,501,844,800,282,502,800,649,16,800,501,503,800,502,503,500,501,501,500,649,501,807,502,503,502,649,502,800,504,649,503,501,649,503,649,107,800,501,282,282,800,282,80,16,501,502,501,500,503,503,501,16,929,282,502,649,503,649,407,503,501,500,501,501,800,800,503,501,501,500,800,500,503,503,72,649,103,502,500,649,500,649,501,502,502,503,13,503,758,500,800,502,217,501,500,501,503,500,503,649,501,800,501,282,667,503,513,501,502,649,282,800,649,501,501,502,16,502,800,282,16,299,501,800,282,649,649,503,800,782,712,649,16,500,502,649,800,107,521,500,500,501,500,649,649,501,542,516,503,500,649,503,649,502,503,649,649,502,282,282,649,282,282,722,503,500,944,101,501,500,800,500,481,502,501,800,501,103,503,502,500,502,503,503,503,503,500,800,800,282,500,800,501,649,502,503,502,502,502,502,502,501,488,649,503,503,800,503,649,610,367,133,805,500,500,649,800,500,103,16,746,500,987,502,282,500,503,502,500,92,800,500,800,503,649,500,500,500,500,501,503,800,500,503,649,500,503,649,502,500,501,282,502,800,609,502,245,501,504,500,729,502,282,307,174,282,501,114,500,502,649,503,503,800,898,503,497,529,649,500,501,501,16,800,501,498,502,649,500,282,502,613,503,16,500,649,905,504,501,501,282,500,503,659,649,501,282,107,800,800,584,800,323,649,500,500,800,649,282,800,503,804,649,500,282,503,501,800,501,500,649,649,282,500,501,503,961,503,282,502,718,800,649,649,500,502,649,599,502,599,649,649,800,501,501,503,800,210,800,800,503,103,502,190,800,16,649,502,649,649,649,649,502,800,503,800,502,502,501,504,502,747,503,282,500,800,503,800,16,501,16,502,504,800,800,501,649,649,38,501,800,500,282,500,503,502,282,500,800,500,490,705,800,417,500,800,503,500,503,649,649,501,800,649,501,800,503,502,503,503,501,503,800,501,502,501,800,649,501,800,472,406,282,797,256,800,501,501,502,504,800,381,143,501,705,503,282,2,492,800,282,103,500,500,282,500,107,502,649,649,282,282,800,502,16,649,502,501,501,309,500,504,649,503,500,503,282,800,649,800,501,501,502,187,503,16,502,503,649,501,500,800,800,282,800,282,504,500,500,502,501,282,282,282,649,474,503,501,502,502,282,502,649,800,649,500,503,502,500,282,800,500,491,500,800,500,500,500,500,500,282,500,501,501,282,649,500,800,649,503,501,503,500,107,501,282,282,500,282,502,92,502,282,503,649,16,503,800,282,649,16,501,107,800,98,501,649,475,649,800,500,800,800,502,649,282,800,502,410,649,789,503,501,501,16,500,501,649,649,800,503,16,503,800,500,649,16,501,229,494,16,447,502,800,501,406,663,500,503,282,649,186,503,282,500,649,502,501,282,502,16,282,504,16,800,800,800,500,502,502,500,649,282,282,503,500,500,649,501,502,502,282,500,500,58,502,500,500,800,800,501,800,282,800,500,502,501,424,502,503,500,282,500,502,16,502,649,16,649,991,800,800,800,800,800,282,502,501,500,500,649,800,500,503,502,16,649,868,501,502,500,502,500,501,502,649,649,16,16,502,649,649,501,800,501,500,500,649,569,501,800,503,649,501,502,504,414,767,800,501,500,816,800,800,502,501,800,503,500,503,502,16,649,800,233,500,501,500,502,102,800,500,500,503,649,649,501,500,649,649,904,649,649,501,501,503,503,502,282,800,502,503,501,154,649,649,92,800,500,502,649,569,800,501,16,800,649,649,800,503,453,800,503,800,282,501,503,503,428,500,800,649,502,312,502,649,596,501,503,800,282,503,596,500,850,649,800,504,649,282,800,649,503,500,503,504,642,800,503,396,649,649,502,503,502,500,501,282,800,800,502,500,500,181,501,879,500,649,501,503,503,501,16,503,503,649,570,492,649,800,503,503,363,503,502,908,503,501,800,503,503,649,503,501,503,882,500,107,502,39,282,282,649,500,503,282,443,628,500,502,282,144,649,369,800,500,503,440,35,16,282,649,500,501,800,505,500,709,502,500,649,503,800,649,502,500,500,502,502,500,501,282,500,500,712,502,649,282,502,800,501,501,238,121,503,501,502,500,59,502,356,500,501,500,502,501,649,16,16,503,649,800,282,501,503,501,502,501,649,649,500,800,502,649,504,676,114,504,649,800,800,649,500,504,16,800,500,282,649,501,282,501,800,16,503,501,502,649,502,501,16,800,500,500,501,16,800,500,649,282,501,502,500,500,649,16,500,500,504,502,502,502,500,649,16,501,501,107,649,649,501,500,502,280,500,501,502,502,500,649,800,502,501,503,800,500,501,800,46,502,500,800,501,800,503,649,500,504,608,502,9,887,502,501,649,500,124,13,502,500,501,500,500,501,649,503,800,501,501,183,282,649,503,503,490,800,759,800,800,282,623,504,649,800,502,649,500,504,107,501,503,503,649,500,649,800,649,500,503,116,502,502,502,538,502,273,500,503,800,800,501,502,800,501,107,502,800,502,502,649,501,501,913,16,282,816,503,502,103,500,502,501,649,721,443,501,202,649,500,649,502,282,500,501,800,503,503,503,736,503,107,800,649,800,503,800,282,927,649,503,501,800,501,282,500,502,800,16,500,502,502,800,501,500,502,649,500,500,500,800,954,502,412,800,503,998,501,502,649,380,500,503,500,504,800,649,503,771,501,106,800,504,502,800,800,502,502,502,800,800,500,800,800,502,501,501,502,504,800,282,527,649,800,800,282,649,502,649,124,501,503,500,500,765,501,502,504,500,649,800,501,962,796,500,501,501,649,800,502,718,503,649,649,800,282,649,16,502,503,649,649,500,800,282,282,502,501,502,504,780,800,503,800,502,503,503,800,16,501,500,213,502,282,502,503,800,649,501,503,222,500,819,800,282,502,500,500,16,500,7,649,649,282,282,800,502,503,184,282,438,502,649,500,503,500,649,501,504,649,235,502,282,800,501,649,503,501,501,504,649,502,500,500,923,500,502,502,501,500,502,282,500,878,800,501,800,640,800,800,800,503,391,500,503,959,504,501,649,503,501,16,502,500,649,800,649,16,292,503,503,16,502,502,649,800,500,501,800,503,500,500,504,501,915,100,503,800,282,16,935,502,501,500,501,366,800,502,503,502,116,503,800,501,503,503,500,800,861,649,501,800,800,800,502,800,502,501,800,503,411,800,764,502,501,501,503,705,16,282,502,503,501,500,282,649,649,500,800,501,500,500,501,800,800,503,502,282,748,501,901,107,501,800,501,502,169,103,503,800,862,503,503,503,107,438,16,649,500,501,649,282,502,649,800,503,640,16,501,16,16,501,500,501,649,649,503,502,719,500,470,16,500,791,282,502,501,502,501,500,800,500,503,503,800,500,649,649,94,500,649,649,501,649,282,501,649,503,503,502,502,649,503,649,501,500,500,649,503,503,649,501,501,649,800,982,43,502,503,500,503,649,649,649,500,500,503,16,800,282,503,501,500,500,778,800,502,500,800,807,503,502,925,649,501,571,502,500,500,503,800,800,503,212,501,501,501,501,504,649,503,16,800,800,730,503,649,979,503,502,800,502,18,503,282,501,502,597,503,649,649,16,649,503,501,800,649,503,502,800,649,282,800,502,503,649,649,501,800,502,649,501,503,835,502,800,649,501,769,800,502,649,502,500,502,500,649,501,503,500,500,364,649,800,501,500,800,501,649,503,500,282,800,501,500,503,500,649,500,502,500,282,500,500,251,503,500,500,282,800,501,649,502,501,503,800,800,500,503,766,282,649,501,503,828,800,649,502,800,503,800,500,16,500,503,282,800,282,503,649,649,501,649,501,282,503,699,102,500,500,233,501,649,800,501,501,649,501,282,800,649,819,501,282,503,16,55,272,500,724,800,800,282,649,649,501,800,123,500,501,502,107,503,800,502,503,282,834,943,500,502,761,649,842,16,502,385,649,800,649,501,649,502,282,41,649,503,396,503,282,501,16,502,500,282,501,649,800,500,282,503,649,649,503,282,500,500,649,800,500,649,502,800,500,800,500,502,503,502,800,649,504,501,503,291,502,503,337,500,502,500,503,501,503,107,800,503,649,500,502,539,502,500,504,501,503,282,503,649,649,502,502,503,500,800,502,649,584,501,503,501,356,503,800,282,500,501,800,500,649,502,649,800,357,503,16,502,501,800,800,503,649,800,501,800,468,502,99,991,500,500,500,282,649,800,649,501,503,433,500,649,502,349,503,501,503,16,800,502,503,500,500,503,649,282,807,282,800,673,502,800,434,503,501,800,649,282,503,988,502,939,503,705,500,800,649,282,764,800,649,298,501,282,500,800,649,800,500,800,747,501,501,500,501,501,16,103,501,649,502,502,500,16,500,282,649,500,501,800,500,31,800,502,649,161,501,282,206,175,91,502,800,282,705,441,503,503,800,649,502,500,502,800,649,125,649,502,800,494,800,501,500,500,502,570,502,500,16,502,500,503,649,74,282,649,814,800,501,500,502,800,884,282,282,649,282,674,503,649,107,649,501,504,649,282,501,500,502,800,503,501,800,501,502,500,956,649,649,502,649,749,500,319,649,500,501,500,501,800,16,502,502,889,800,503,649,649,503,710,503,501,800,16,503,800,282,502,649,500,503,500,501,503,504,800,282,800,501,286,503,500,282,500,800,16,996,800,800,503,995,500,282,800,649,502,649,16,502,649,649,501,282,503,501,503,16,500,502,503,649,502,501,503,503,800,501,282,800,372,500,800,500,501,800,503,649,800,503,500,66,500,16,503,649,503,649,282,16,205,282,282,251,501,649,800,649,503,504,502,800,282,282,500,503,16,649,503,502,502,800,282,500,503,502,477,501,500,203,502,503,800,500,282,503,501,928,433,503,649,649,893,501,649,500,800,16,500,500,800,460,502,649,502,649,501,503,500,503,800,282,501,502,800,501,501,502,800,502,500,502,882,502,561,500,800,501,649,501,504,501,282,501,800,649,800,649,501,500,503,282,500,502,502,649,544,282,649,649,800,503,503,503,503,501,501,649,504,501,500,504,504,16,282,649,914,16,502,282,504,590,500,554,282,502,501,800,504,800,502,374,501,502,501,500,502,500,500,503,502,705,501,502,104,503,800,649,668,226,800,649,500,825,500,503,649,501,16,649,649,162,800,502,16,502,800,501,500,503,502,503,800,800,501,16,649,500,649,502,282,502,800,800,649,649,503,500,503,502,800,501,501,502,800,649,282,500,502,282,501,362,800,500,800,503,107,800,936,502,800,500,501,503,800,503,800,503,500,649,504,501,282,282,503,500,282,502,502,501,501,800,800,16,259,500,500,16,282,282,503,649,562,502,649,800,501,282,502,516,952,282,800,501,503,500,649,800,293,501,502,282,500,16,501,282,16,272,203,502,16,501,705,500,501,473,502,504,282,800,500,503,649,503,503,502,800,649,504,502,649,500,502,503,908,800,800,501,502,502,500,500,501,502,649,500,800,16,649,501,800,800,219,319,500,503,282,501,503,800,502,500,282,649,501,424,415,503,501,800,500,282,999,649,649,503,502,515,282,16,500,800,250,800,800,501,649,500,649,16,59,503,501,649,800,502,500,502,502,282,16,500,800,813,16,282,807,503,501,504,500,800,620,501,800,502,336,16,501,649,502,502,282,502,502,16,503,501,502,495,649,800,502,502,502,501,800,500,282,501,114,500,502,649,848,598,16,503,649,502,16,649,502,345,501,649,501,800,500,503,649,501,649,503,649,649,649,503,501,571,800,500,649,649,501,649,649,502,503,501,386,502,330,649,501,649,503,800,800,500,800,282,159,168,649,628,504,800,503,501,502,282,800,501,502,501,649,282,939,649,501,800,504,800,502,800,16,502,649,501,729,501,649,800,561,257,649,800,866,42,649,282,500,649,800,813,500,649,500,501,282,503,500,502,282,943,503,500,503,503,282,501,282,282,503,282,500,649,649,500,34,502,677,800,282,800,500,800,501,284,502,649,501,506,282,845,502,800,800,502,649,16,649,649,500,501,500,315,304,503,800,502,502,800,107,501,501,626,800,649,649,501,282,16,500,501,501,649,800,502,282,502,501,800,649,800,282,649,500,800,649,501,800,800,282,500,800,563,500,282,86,503,649,649,501,500,69,16,501,245,290,503,282,649,503,16,502,503,649,649,501,16,282,800,800,501,502,649,500,649,503,503,800,800,786,502,282,302,800,502,142,16,500,800,282,502,649,965,282,500,502,503,503,800,939,282,500,502,502,500,401,859,504,282,503,800,70,649,502,500,644,649,502,800,502,282,282,500,502,800,649,391,800,502,800,501,649,503,649,16,800,282,504,502,502,649,949,500,502,103,402,107,474,504,503,800,282,900,107,500,649,800,800,503,282,649,800,892,501,500,252,800,259,503,545,504,800,503,649,503,503,500,649,503,800,800,282,503,502,813,500,504,712,501,501,503,501,502,16,282,282,16,926,16,502,500,800,504,806,282,831,800,800,503,16,16,409,501,282,500,502,500,504,35,503,649,649,800,282,501,705,501,380,502,93,501,649,800,213,500,107,500,501,500,501,500,958,649,752,282,503,501,125,502,800,500,503,41,501,500,328,649,649,107,649,501,503,800,649,800,264,800,502,107,855,500,282,501,649,502,649,807,800,649,500,167,800,800,282,502,501,282,502,502,591,649,501,800,501,501,649,800,502,503,554,792,503,649,503,503,16,501,800,649,502,500,501,54,649,502,649,502,502,649,107,649,649,800,282,504,501,501,504,179,16,800,501,500,500,500,282,502,282,503,501,500,503,503,224,504,500,503,503,503,501,800,503,500,500,649,282,649,503,282,800,501,800,503,501,502,282,503,502,800,138,800,649,777,503,103,27,837,504,502,282,282,503,800,314,501,800,800,500,619,501,501,649,500,649,207,501,501,254,649,84,282,503,500,503,589,501,649,500,254,503,502,500,282,503,800,649,525,649,500,282,503,502,501,503,503,502,501,502,504,649,920,649,800,649,433,503,500,500,16,501,705,282,16,800,503,503,502,649,649,658,500,828,501,649,800,501,962,649,254,282,502,501,530,649,800,500,501,502,501,282,800,23,282,800,16,639,926,16,501,649,282,500,649,16,503,503,500,503,501,353,73,635,800,503,800,282,649,649,800,502,800,649,503,500,501,16,501,649,500,501,500,649,500,501,503,503,501,800,649,501,777,501,800,649,501,949,800,800,500,649,59,800,500,800,282,503,500,500,282,500,502,502,16,277,503,500,501,800,502,501,282,501,800,502,118,503,500,649,621,502,800,501,500,103,503,626,502,504,502,70,282,502,183,714,649,800,501,800,501,649,189,649,500,8,500,502,500,503,500,502,800,800,500,692,800,181,500,500,500,501,502,649,501,500,501,282,502,282,500,799,800,502,282,825,503,502,503,599,39,502,16,501,503,502,649,502,503,500,501,503,181,500,800,500,500,501,503,502,503,800,159,649,800,117,282,649,649,800,503,649,501,282,800,800,800,500,275,800,503,800,800,649,501,163,501,649,501,723,501,500,705,649,644,217,649,502,502,502,501,502,501,503,501,282,501,649,800,718,503,502,800,800,800,502,501,501,649,649,502,800,649,500,800,503,25,800,100,501,88,502,501,649,649,503,501,503,500,500,500,502,657,500,554,501,800,502,500,500,649,800,503,649,502,16,649,502,965,500,503,501,503,503,503,502,649,500,600,800,502,649,502,103,500,282,843,649,131,649,501,800,800,504,834,500,501,227,501,16,502,690,282,502,501,501,800,800,500,504,503,800,503,502,503,649,503,649,500,282,282,649,800,500,500,503,464,502,282,501,500,649,500,649,256,501,500,800,501,547,16,501,502,501,502,536,503,649,502,503,800,649,500,502,16,282,930,502,282,649,107,503,503,501,503,482,649,502,502,756,800,503,503,800,90,915,500,502,649,502,800,501,406,886,649,503,501,503,501,501,649,500,800,503,800,16,16,800,16,500,282,649,800,246,282,503,501,800,502,501,501,103,56,649,649,800,282,504,500,502,800,16,503,501,282,807,502,503,800,502,800,501,800,16,649,500,16,282,503,501,282,503,503,649,502,503,502,500,649,649,692,500,45,500,16,800,502,501,649,649,282,800,501,649,500,503,501,16,649,500,501,503,502,649,504,800,16,500,1000,649,107,649,282,229,59,502,504,502,502,649,503,503,500,500,39,800,502,503,502,502,775,500,502,501,16,500,500,649,501,502,501,500,502,800,503,500,773,382,501,282,501,16,500,21,504,503,500,501,649,453,501,800,503,503,649,503,502,649,16,800,800,500,500,500,501,503,501,503,800,649,649,503,500,16,649,502,800,503,649,500,235,16,649,800,786,542,282,649,282,807,103,711,800,800,502,503,489,568,500,503,503,282,503,500,502,693,649,818,282,649,649,501,501,325,663,724,800,502,282,503,649,503,502,746,500,502,541,785,500,282,500,500,501,503,503,500,503,16,282,649,649,501,504,282,502,501,503,502,501,649,649,502,502,503,500,800,502,800,502,649,502,500,504,800,503,649,932,500,870,500,501,800,502,16,503,228,16,103,503,502,503,501,800,800,649,503,992,282,800,800,504,246,16,800,502,584,503,16,502,649,757,502,501,500,501,649,503,282,397,800,649,501,282,800,501,501,800,500,502,847,502,282,16,501,282,503,800,501,563,503,16,781,800,800,800,775,777,503,800,500,16,503,800,502,500,800,649,500,502,500,501,501,500,649,800,649,503,649,502,500,16,502,502,282,800,500,282,494,500,107,503,503,420,640,814,500,503,800,57,649,649,503,649,16,502,550,800,500,501,800,804,800,500,800,501,800,501,503,502,500,103,503,282,503,649,501,501,386,649,504,501,16,503,501,501,649,502,282,800,500,800,503,800,929,800,800,800,502,800,501,649,517,649,282,502,800,649,745,503,895,503,501,809,503,649,649,649,500,16,501,502,649,501,800,502,500,357,500,503,649,502,282,502,649,501,649,500,502,649,160,500,649,503,501,501,503,649,16,988,503,800,500,649,500,649,502,500,800,503,501,502,649,666,649,503,501,649,800,503,503,891,800,282,705,501,103,500,272,649,282,500,800,500,649,502,649,16,800,649,449,502,503,502,649,800,501,503,504,800,501,705,502,501,503,807,503,649,501,500,500,800,649,503,800,800,649,434,181,16,649,649,16,501,649,502,649,396,649,501,334,800,649,282,674,504,500,502,500,649,502,520,649,502,502,800,16,503,504,326,228,501,501,503,502,501,501,501,800,636,500,103,501,501,502,501,501,649,386,126,503,501,502,502,502,649,503,503,16,984,503,800,500,502,500,502,800,649,298,649,800,649,800,503,501,800,800,800,615,195,649,503,16,725,649,282,503,361,16,500,947,503,501,811,16,502,649,503,502,800,502,501,502,503,649,875,436,282,500,500,502,649,500,649,649,282,30,282,577,705,800,800,500,502,501,503,800,800,800,500,800,502,501,282,649,800,16,282,800,749,282,501,500,649,502,800,282,649,282,500,800,501,503,503,649,503,503,649,503,16,800,500,500,282,282,502,503,649,374,649,500,800,503,16,800,503,501,16,800,800,503,502,800,503,504,282,252,502,800,501,800,63,503,649,16,500,501,282,282,783,504,800,252,500,649,310,431,50,649,503,203,282,282,649,649,503,198,503,800,107,282,800,800,503,502,502,788,970,800,282,649,800,501,501,800,800,282,501,649,501,649,282,188,800,282,502,952,500,500,502,649,16,282,501,649,649,500,501,800,649,16,649,501,649,800,502,572,394,282,500,501,501,503,786,649,800,503,502,103,894,501,649,649,219,649,649,503,282,474,755,649,500,501,502,502,282,282,501,500,503,147,501,176,282,779,649,649,503,800,500,502,500,500,800,691,503,503,503,503,503,500,502,500,282,649,800,92,501,502,503,503,800,157,501,800,502,649,503,649,501,800,107,649,500,282,503,502,800,500,649,77,800,500,119,391,705,800,649,503,841,282,16,532,503,50,503,359,500,503,503,588,502,282,800,18,501,107,501,282,282,503,502,649,895,500,500,282,502,502,502,510,503,798,500,455,800,501,649,503,500,502,649,800,501,501,649,107,282,800,503,502,500,282,649,383,503,502,800,503,502,502,241,503,649,501,501,500,649,501,649,649,503,502,503,503,800,501,282,502,501,500,800,503,502,649,958,500,16,502,800,649,282,501,282,500,501,501,500,500,87,16,800,282,282,739,917,610,502,503,282,16,501,501,785,503,500,800,649,800,84,649,796,16,501,800,500,502,649,800,649,649,502,500,502,649,500,16,649,649,504,568,502,649,500,500,649,503,500,238,502,503,500,500,309,504,593,504,461,800,673,955,798,649,501,501,800,16,501,649,301,649,649,502,16,500,800,800,649,282,500,705,500,649,649,503,504,502,502,501,737,375,503,66,503,500,502,504,502,800,502,373,16,800,649,502,502,502,503,500,821,800,282,282,282,649,501,649,502,649,500,503,503,502,800,282,19,48,502,282,443,800,805,649,501,503,502,649,106,501,417,282,501,800,500,800,501,413,49,282,489,502,501,500,649,16,94,501,500,500,502,736,503,501,501,282,649,282,500,649,708,501,649,503,500,503,503,501,501,800,500,503,500,16,501,649,500,501,503,874,503,800,649,431,500,649,649,800,385,502,502,503,805,800,389,16,500,502,984,500,500,502,800,649,502,500,604,500,649,502,504,502,502,503,800,38,501,502,161,500,800,500,502,138,500,501,503,16,502,282,500,1000,502,501,282,503,30,500,501,502,103,501,501,504,501,800,800,503,503,503,16,600,649,800,800,282,800,501,503,649,502,501,16,67,649,16,503,649,800,502,8,649,800,107,503,503,500,649,503,502,282,500,649,323,16,916,800,800,501,502,800,500,800,503,504,16,503,503,800,800,738,649,502,207,649,502,502,649,649,500,503,502,502,800,500,282,501,649,800,422,503,800,503,502,649,500,649,501,502,502,80,500,800,121,649,502,501,865,502,800,502,503,800,501,235,504,649,500,501,800,502,502,502,501,500,649,179,502,500,503,433,800,282,502,501,649,800,503,502,282,502,180,500,503,649,282,501,500,800,502,800,649,634,649,241,501,501,800,503,501,503,503,503,564,800,800,800,701,503,500,800,800,649,282,500,502,107,501,800,649,503,503,503,504,500,500,300,800,16,649,800,503,501,502,500,501,503,503,503,800,502,16,503,502,282,897,282,282,500,501,503,649,800,502,255,500,649,501,282,501,502,282,16,501,800,800,282,501,800,500,19,412,649,501,500,503,649,282,649,282,502,503,282,502,649,501,7,649,501,282,649,922,501,649,502,503,501,800,501,180,977,504,105,503,502,503,500,103,501,500,800,503,502,502,800,562,502,502,502,503,636,800,502,809,800,282,502,500,649,649,630,501,705,502,502,501,800,649,501,503,649,503,800,501,116,502,502,500,113,504,501,500,503,502,282,503,800,800,17,501,649,649,282,415,500,500,501,625,523,500,502,500,731,501,649,501,502,502,504,501,503,502,500,800,282,649,445,106,282,282,800,800,501,503,107,504,500,503,649,16,500,750,800,16,503,800,502,800,491,649,282,282,500,649,500,369,282,16,649,502,596,501,649,649,649,282,501,503,503,800,502,501,800,21,500,649,282,502,948,500,282,16,503,501,704,503,501,103,500,500,450,649,500,94,501,501,504,503,502,236,501,103,503,501,649,800,800,441,503,800,649,501,655,800,501,800,503,502,16,800,501,501,501,503,501,800,501,804,282,800,418,504,500,501,502,16,500,282,503,501,500,649,649,649,649,503,500,815,606,501,649,649,503,503,800,503,501,503,546,800,503,500,16,501,503,943,282,502,502,501,503,501,72,282,649,800,500,503,503,800,224,197,502,503,501,97,502,503,501,503,364,500,819,800,504,500,282,649,501,471,501,662,503,500,649,649,503,502,988,16,502,800,503,800,501,72,503,992,649,502,282,800,800,282,500,501,67,649,503,16,502,800,502,647,800,800,500,519,800,16,649,16,504,500,502,800,567,501,282,412,500,649,503,500,503,282,800,649,503,800,606,503,744,282,16,502,500,800,630,502,103,649,503,800,501,16,500,282,282,571,504,503,503,649,502,800,500,503,649,504,190,649,800,502,800,503,800,501,500,502,186,800,501,371,503,501,649,502,500,282,503,502,502,503,282,330,500,649,502,500,501,500,805,330,800,500,500,502,800,503,800,501,649,501,800,800,503,679,16,503,282,282,800,800,800,503,649,500,649,107,502,343,500,501,501,649,107,500,501,501,503,302,502,842,500,502,500,16,282,818,649,282,501,282,446,282,943,282,279,82,649,531,800,502,500,282,282,502,813,445,500,198,800,502,282,654,282,501,800,210,503,502,800,649,800,649,643,800,501,501,501,501,502,503,502,282,503,501,504,649,504,800,501,800,502,800,813,649,800,649,649,501,16,282,800,504,649,16,649,502,503,116,502,504,503,503,500,500,503,282,471,800,501,825,501,800,649,503,502,377,502,502,502,482,503,649,649,649,502,500,503,800,500,503,500,500,649,649,500,501,502,774,683,501,502,649,502,502,905,501,649,502,503,649,502,604,501,282,500,502,500,504,16,503,800,503,500,800,500,501,282,282,422,502,504,501,800,501,800,500,500,800,649,800,501,800,503,501,770,501,800,16,93,502,502,282,156,649,649,504,501,544,503,503,800,502,282,282,282,500,613,282,503,254,502,135,649,502,103,800,503,500,282,800,503,649,502,501,125,649,649,800,501,500,500,282,649,415,649,963,337,500,500,500,649,107,501,501,649,504,502,502,649,800,16,500,502,500,800,501,502,649,649,500,800,500,800,502,502,503,103,502,649,501,500,282,282,500,502,282,282,800,502,503,649,531,503,500,502,503,585,282,501,462,800,500,501,649,282,504,503,907,517,502,500,649,500,502,649,962,429,501,501,282,800,765,800,649,800,500,501,503,500,282,502,500,500,500,94,503,504,649,500,503,70,800,649,503,503,800,502,649,503,526,503,800,800,282,282,501,502,500,500,649,649,501,501,503,501,503,800,502,649,649,500,500,800,502,649,501,800,503,502,800,649,649,800,503,502,800,235,446,503,501,800,69,502,649,800,649,500,502,504,649,500,107,503,649,445,503,503,688,500,502,502,649,500,502,800,500,40,502,500,500,502,649,649,800,502,915,501,649,502,800,74,73,881,800,500,503,504,503,501,503,502,503,501,501,800,500,800,649,800,611,500,501,502,32,649,503,500,800,503,800,501,649,649,501,500,500,501,502,501,503,502,800,16,501,500,502,800,566,698,649,502,197,500,501,16,503,800,16,282,282,503,117,503,500,501,500,649,502,501,503,502,800,500,503,16,501,649,227,502,398,649,282,103,66,502,500,502,479,501,502,993,282,502,800,503,800,649,502,282,502,502,649,649,649,503,649,500,503,605,501,800,387,503,500,649,800,649,503,501,502,502,649,156,500,16,649,649,649,16,800,503,649,502,500,282,748,649,501,680,827,649,649,500,800,501,500,282,501,649,800,502,800,503,800,503,502,502,502,649,107,649,282,503,649,800,649,649,502,198,503,503,800,649,502,501,889,411,503,661,889,649,683,503,503,501,502,503,501,800,649,501,501,503,649,649,504,502,444,282,500,501,503,282,807,501,649,282,503,107,502,501,649,90,16,250,503,291,16,117,503,502,500,501,500,500,649,503,800,800,500,502,649,649,500,800,800,502,501,561,800,167,800,503,869,282,909,502,800,140,327,500,672,500,107,503,16,502,503,503,800,503,501,649,640,503,92,503,502,502,500,500,500,800,649,502,800,79,501,503,649,649,503,794,502,282,800,800,503,282,282,503,705,16,503,282,502,500,649,501,16,800,501,502,103,502,501,800,800,16,503,800,107,504,16,927,649,502,337,710,503,649,616,242,800,504,501,976,800,501,501,501,504,500,59,16,649,501,339,282,500,649,501,501,500,780,649,501,503,501,500,503,501,502,649,800,502,641,148,502,500,800,503,800,649,282,16,649,649,800,282,500,526,503,502,737,500,500,500,107,800,502,502,500,503,502,649,501,741,467,502,282,500,501,500,503,800,500,141,503,282,501,800,500,503,500,502,502,501,16,500,501,649,502,800,800,649,501,500,800,503,282,800,500,500,649,503,16,503,502,400,503,649,800,800,502,500,502,503,503,501,649,649,503,16,504,649,503,502,503,16,800,500,502,500,104,649,502,113,649,502,502,503,911,27,502,503,503,649,503,502,503,649,42,800,500,501,723,501,613,501,282,504,503,649,800,502,649,500,503,282,502,800,500,500,502,649,634,500,500,326,500,765,800,800,282,800,649,503,282,503,800,502,503,502,649,502,503,502,800,501,649,606,800,502,800,649,500,500,502,380,502,282,649,800,649,132,800,411,501,164,501,773,800,940,503,501,282,800,501,649,500,800,282,649,503,282,504,501,282,649,888,504,500,501,503,800,567,501,282,500,800,500,501,503,504,282,501,107,503,649,502,86,503,503,501,501,32,502,649,800,501,800,282,502,501,500,502,500,500,500,502,46,16,501,649,502,502,465,649,800,501,502,649,502,503,501,500,503,806,649,501,501,503,649,800,502,649,503,649,501,16,16,649,599,282,503,649,649,16,503,16,824,340,502,649,649,282,800,502,282,500,649,502,649,502,503,693,502,500,649,501,503,501,502,502,503,502,502,16,503,800,501,502,501,649,282,502,501,827,500,503,515,30,503,16,282,503,501,500,501,800,502,989,501,933,56,501,800,501,800,501,503,282,148,107,526,649,797,649,500,503,892,501,649,649,649,649,501,772,503,501,649,502,503,649,649,502,649,649,503,501,282,649,501,282,649,16,705,500,501,800,649,503,282,502,800,501,502,502,503,501,649,503,800,499,463,503,500,677,649,500,16,649,282,500,541,649,503,502,501,503,649,503,503,503,501,16,282,502,503,504,501,500,813,501,316,501,282,800,503,995,500,503,282,502,502,282,501,639,649,16,807,503,502,503,500,500,756,800,282,501,800,800,503,800,806,501,800,906,649,103,784,500,649,282,649,500,501,800,503,500,16,501,503,503,649,500,500,735,502,503,649,503,501,800,502,504,676,501,504,800,501,649,800,503,800,501,501,16,610,800,800,800,649,500,800,500,800,504,800,282,500,503,649,504,282,800,501,649,500,500,500,809,649,502,649,800,107,107,502,409,500,501,649,500,503,503,800,500,668,501,649,800,503,500,500,501,367,800,649,846,502,500,595,16,500,649,649,503,502,502,504,500,502,501,500,800,16,500,91,649,469,649,501,282,170,503,502,282,501,502,501,503,503,501,503,502,503,500,800,502,503,75,593,800,502,503,502,85,503,503,282,502,503,500,649,649,503,500,500,649,500,501,800,502,500,501,649,503,501,501,502,800,293,800,500,936,503,500,282,800,800,500,107,16,502,503,501,502,524,500,501,160,800,745,502,16,501,501,649,501,282,660,503,649,282,16,649,800,501,502,844,630,503,500,107,649,501,649,501,800,14,500,502,500,502,501,800,500,502,649,501,807,503,800,500,282,500,502,502,500,500,500,500,503,43,282,501,503,503,501,16,800,503,502,502,501,179,501,800,282,282,649,500,438,502,649,649,649,502,649,282,501,433,501,800,503,501,282,501,800,800,500,800,800,800,800,282,502,500,800,502,500,961,16,800,502,649,500,282,800,282,502,800,500,503,503,501,503,649,503,501,500,16,800,800,501,649,502,16,800,649,504,503,500,502,649,502,501,502,106,800,503,503,502,500,649,504,502,649,503,500,649,649,500,66,800,500,503,503,502,503,800,500,501,800,500,503,502,500,500,502,649,502,503,500,501,500,503,503,16,500,800,502,800,502,500,501,500,501,502,502,649,649,502,501,649,279,800,800,103,500,501,282,649,170,618,503,649,502,874,503,500,502,800,800,501,782,500,282,501,800,503,16,16,282,502,501,503,800,502,501,649,500,500,501,107,800,502,503,107,835,501,502,705,800,800,500,503,800,501,649,282,501,501,649,503,822,502,800,649,504,800,649,649,800,282,500,392,459,503,107,282,502,502,761,502,501,502,500,587,56,503,501,500,500,800,282,501,502,447,501,503,355,502,503,500,501,504,502,502,501,800,649,800,16,800,834,500,98,502,983,502,500,500,501,502,502,502,500,503,503,500,501,503,800,649,500,500,501,500,16,399,501,503,502,502,649,503,502,500,282,503,501,649,800,637,649,800,501,282,500,501,800,501,502,500,282,500,649,672,501,502,282,503,800,500,847,503,504,649,800,98,800,500,503,500,500,502,866,502,649,501,500,926,21,503,503,503,503,503,502,800,502,569,502,502,282,16,649,502,698,503,71,649,649,649,501,507,649,503,500,502,857,503,501,501,501,501,501,500,503,103,501,500,800,500,189,501,503,502,649,501,501,800,649,502,800,800,16,501,503,503,500,845,5,503,698,504,800,503,503,502,800,107,16,504,16,649,501,500,649,501,500,501,626,649,502,500,502,500,800,501,631,502,800,502,500,503,800,502,502,282,282,501,500,504,282,503,649,500,282,649,282,504,107,800,501,500,500,503,282,800,503,502,649,503,800,504,501,503,649,590,502,502,503,403,501,500,500,282,502,500,16,800,501,501,501,800,500,282,613,500,861,502,18,282,502,500,501,503,502,501,500,501,282,800,282,800,502,375,709,501,500,649,800,649,705,500,282,804,649,404,364,501,800,500,282,503,501,800,800,107,16,500,502,501,282,612,800,502,500,503,800,800,649,500,500,503,800,502,282,282,502,282,501,16,500,800,800,800,800,500,501,370,649,649,501,502,501,167,16,501,851,501,49,502,501,503,800,649,800,501,649,504,501,503,103,649,501,500,501,502,282,500,503,503,282,500,749,503,501,502,503,649,503,501,502,503,500,649,502,800,282,649,501,649,501,501,503,503,800,501,500,500,819,503,502,299,282,501,754,992,800,649,502,501,500,349,503,16,502,502,501,500,649,501,501,800,858,500,871,800,800,282,216,649,282,503,501,16,431,800,282,800,649,649,502,501,501,501,282,714,501,282,649,500,800,502,500,649,800,503,503,500,502,501,649,503,500,255,503,501,16,282,800,500,500,800,502,800,503,649,649,503,503,500,800,649,500,500,649,282,649,501,500,549,800,500,504,800,503,503,649,649,500,504,649,705,668,649,500,737,326,501,16,501,238,800,501,107,107,503,103,501,502,760,587,649,649,501,503,16,500,502,502,455,501,502,502,500,501,155,503,500,668,502,16,282,502,282,502,282,649,501,800,503,502,282,649,725,649,649,929,649,800,245,501,973,800,800,103,502,500,800,501,107,503,964,697,501,649,503,800,171,16,800,502,500,800,800,800,501,16,800,649,820,976,503,800,248,500,502,501,403,501,501,800,501,503,649,282,800,461,649,503,503,649,800,800,503,800,800,500,103,503,649,503,282,752,800,446,800,500,282,503,501,561,501,649,501,500,500,501,649,16,800,649,649,503,500,649,503,717,227,800,282,649,282,282,649,504,500,500,327,502,502,649,123,282,501,500,500,649,503,500,649,501,502,500,500,503,501,649,501,800,282,800,500,649,800,501,501,500,800,503,502,503,649,649,659,503,502,369,501,503,501,282,16,649,503,501,649,611,504,500,800,500,842,502,282,501,501,503,945,501,501,501,503,500,649,649,282,649,502,503,500,501,501,503,16,384,282,800,800,502,503,503,649,649,800,502,103,501,800,501,282,500,503,146,500,503,226,500,501,800,649,16,502,800,502,649,282,501,649,282,800,649,500,800,107,500,649,502,503,649,282,444,503,502,502,500,503,649,800,500,218,589,502,16,501,501,501,649,800,800,483,502,16,503,649,649,502,503,503,47,649,282,282,501,283,502,800,500,501,649,572,649,502,800,800,221,502,503,503,500,282,800,649,501,282,649,500,685,800,397,502,502,503,501,503,318,946,502,503,503,800,500,503,16,649,503,282,501,501,649,503,500,500,649,800,502,500,649,649,282,938,103,649,504,503,649,649,500,649,544,800,503,800,867,502,280,282,800,500,914,800,800,500,214,649,503,282,649,502,76,16,233,501,501,501,502,501,503,503,502,502,282,649,502,282,503,800,503,649,649,800,718,707,16,800,649,502,649,800,503,649,649,282,503,501,800,503,800,502,501,649,502,501,501,891,501,282,504,500,503,649,517,800,502,758,500,502,503,649,501,789,500,649,800,501,133,501,503,503,885,282,501,503,503,503,628,503,807,502,502,705,541,501,502,530,501,500,502,649,800,282,501,502,502,107,503,500,502,501,800,649,501,501,282,503,282,500,501,503,649,649,502,501,800,800,903,503,500,800,502,649,550,282,800,800,649,503,500,37,872,502,957,502,502,649,649,503,503,502,502,649,501,502,800,699,500,503,800,987,649,500,16,384,592,501,501,800,500,800,22,649,649,309,800,799,503,501,501,800,800,501,501,500,503,501,503,649,649,800,503,800,649,503,282,282,500,501,649,502,649,501,800,800,649,502,649,769,500,649,649,501,501,734,800,500,503,502,500,501,503,503,282,500,500,503,501,649,502,500,649,649,649,979,501,501,503,367,800,503,503,800,503,501,502,500,800,649,501,503,503,503,649,284,118,502,947,501,800,282,800,16,504,502,502,500,256,207,800,800,815,502,501,800,800,349,502,503,500,502,786,503,597,501,800,502,16,502,502,502,282,649,649,501,501,501,501,501,649,502,800,503,649,502,500,501,502,503,282,800,800,649,503,500,502,503,501,503,503,282,502,345,832,501,282,503,282,503,428,811,887,800,755,500,502,800,502,630,502,503,500,162,502,501,502,282,500,501,705,503,649,502,282,501,501,649,500,282,649,501,502,16,502,503,157,800,500,800,501,503,649,649,501,800,649,500,501,503,800,500,182,503,125,501,591,501,649,649,649,649,501,180,501,800,503,800,502,800,500,504,800,649,500,503,649,649,503,649,502,503,649,800,800,16,502,910,722,800,642,501,649,504,503,762,282,503,500,782,500,64,503,500,800,500,501,500,501,500,800,103,16,65,649,649,503,502,125,649,501,502,718,738,515,282,800,471,282,501,800,764,800,502,707,649,503,502,800,649,649,501,503,46,501,503,500,501,501,649,282,502,800,282,500,282,649,649,500,282,16,502,501,800,501,502,800,784,107,500,16,800,800,800,502,503,500,649,800,500,16,282,500,649,503,503,444,136,129,500,500,740,800,502,16,107,800,500,502,501,16,500,282,500,800,214,649,800,501,226,800,800,502,649,471,500,800,497,16,500,504,500,502,838,16,588,649,502,649,46,555,504,501,921,501,394,500,501,500,800,502,278,649,282,649,503,649,503,503,800,649,500,501,649,256,503,800,539,502,800,282,800,503,500,800,16,501,800,502,502,649,649,800,103,502,501,502,107,501,501,16,649,298,500,649,502,103,501,16,600,503,282,16,5,649,501,649,503,649,86,500,649,500,501,503,649,355,291,503,500,16,311,500,501,503,502,503,800,800,649,502,502,529,502,500,503,503,800,502,501,873,501,500,282,649,500,649,500,282,502,500,500,16,102,649,800,649,501,185,503,16,503,16,935,800,501,992,649,501,800,503,500,800,649,688,649,502,502,649,800,649,500,649,501,551,282,649,649,800,502,501,509,282,502,649,229,501,503,633,503,561,16,800,282,503,800,503,500,503,800,594,502,503,502,282,16,800,502,501,800,282,800,564,649,503,800,16,503,596,500,800,649,501,649,282,500,800,503,502,807,800,502,501,501,324,16,502,502,502,649,503,312,649,502,677,938,649,282,341,800,507,649,502,310,504,800,649,504,500,282,800,800,800,503,500,504,500,502,649,501,649,502,4,511,503,16,503,983,282,501,504,221,649,501,500,863,800,503,282,649,500,501,282,282,649,503,501,501,800,500,282,500,282,502,501,4,500,282,800,649,649,800,800,800,800,649,501,502,503,168,501,500,502,500,107,649,800,500,649,501,649,800,500,500,501,502,501,800,444,503,800,502,502,502,501,500,500,181,649,502,503,658,800,501,800,312,649,503,649,16,502,543,500,501,501,500,500,800,16,500,500,501,649,502,800,643,27,503,800,360,800,503,16,649,282,503,502,500,501,501,649,800,500,500,649,501,500,800,649,500,503,649,649,649,16,800,439,503,103,431,103,862,500,649,649,131,501,800,501,501,282,501,649,504,501,502,503,503,500,502,501,282,501,501,800,800,649,500,502,501,649,500,800,800,649,649,282,906,282,502,502,500,500,500,649,800,504,504,500,800,502,439,500,687,518,503,500,502,502,934,501,501,501,501,649,800,800,649,502,272,920,929,649,649,503,503,501,417,649,463,796,800,800,800,958,189,501,504,649,16,107,351,502,800,649,501,502,240,501,800,501,502,500,502,500,800,649,85,502,713,501,503,649,400,706,802,503,500,504,800,649,649,501,502,800,502,800,503,558,503,649,501,502,500,502,800,282,502,500,282,282,282,502,502,500,602,502,16,536,501,500,502,501,500,502,800,501,500,282,186,503,500,502,700,800,399,501,800,649,439,501,873,380,649,500,503,501,501,502,502,800,931,501,503,261,700,649,649,509,500,502,800,500,503,500,501,501,502,502,502,500,501,503,800,800,500,503,800,503,800,503,800,803,282,501,649,229,503,501,501,500,503,107,504,339,503,649,16,800,649,649,649,501,16,500,649,500,801,501,282,649,502,503,458,502,800,16,504,503,503,500,500,800,649,649,501,800,282,649,282,42,501,282,503,16,500,500,969,800,649,282,282,500,500,501,501,501,800,502,157,800,500,501,500,502,503,649,500,500,502,819,503,503,500,282,800,282,501,800,282,500,501,897,502,503,502,107,649,501,649,261,501,504,800,503,282,800,978,501,501,500,800,649,649,502,16,502,503,502,649,503,503,800,500,500,223,501,503,501,649,220,501,501,504,500,500,500,800,500,649,55,649,749,503,502,282,800,502,501,501,500,502,800,503,649,501,502,282,503,503,649,103,502,503,282,503,500,649,210,649,500,503,800,900,800,503,500,800,502,501,500,502,502,971,503,503,282,800,500,502,500,649,282,500,800,800,500,503,800,16,502,800,946,728,282,504,501,800,800,800,649,649,503,16,800,502,503,502,501,649,282,500,502,500,649,649,209,593,501,921,502,906,501,649,502,649,649,503,800,800,649,502,282,950,500,800,501,800,282,504,649,770,649,502,282,800,502,500,134,503,800,501,500,500,282,800,502,282,800,502,394,501,501,649,800,502,16,282,649,501,503,500,504,282,649,800,649,500,500,503,800,282,282,502,455,800,800,501,500,103,800,212,500,501,800,501,282,502,502,800,501,282,503,503,501,501,503,503,502,502,649,16,23,282,420,649,405,501,282,501,282,501,501,502,500,800,502,16,543,282,282,501,282,160,500,500,503,649,16,503,649,500,558,800,800,649,501,282,502,503,532,56,504,649,500,800,649,649,269,409,500,649,282,502,144,649,160,503,800,501,500,502,649,501,800,800,501,282,649,800,649,500,423,765,879,500,16,500,800,504,502,503,800,800,503,502,502,649,503,500,502,387,502,501,502,649,282,107,800,504,491,503,502,282,179,501,800,282,800,502,502,282,503,800,16,800,649,649,282,500,500,304,502,282,500,500,649,800,502,649,502,500,649,501,500,649,501,649,765,649,529,501,501,282,502,807,800,500,500,649,16,649,501,503,500,800,649,649,800,502,502,503,503,282,502,503,500,118,501,414,502,503,500,502,800,282,503,800,501,800,705,649,800,501,649,500,500,500,502,511,503,649,500,501,800,800,100,649,800,800,16,800,62,293,905,503,649,16,691,500,800,807,500,504,502,800,502,649,501,649,649,389,649,501,282,501,649,502,502,800,503,496,502,800,282,649,500,800,502,502,502,501,282,503,649,502,500,800,500,501,800,503,649,649,503,501,500,502,649,500,500,500,500,500,502,800,649,649,16,503,800,705,115,500,500,503,800,800,975,352,500,707,800,501,103,502,500,503,500,503,800,800,500,501,649,282,501,649,501,649,503,500,800,500,456,800,502,501,503,896,503,800,16,501,282,800,502,502,501,282,649,501,502,649,649,649,781,508,502,502,649,16,282,800,649,649,502,800,649,800,282,501,649,649,800,502,649,501,500,504,729,800,502,800,500,800,503,501,502,282,800,9,800,501,502,649,501,503,503,17,500,502,503,607,502,500,503,502,649,800,800,649,504,502,501,592,502,800,16,800,76,800,800,503,500,649,502,501,501,649,282,501,649,800,203,501,748,16,800,800,503,573,500,800,231,282,800,503,501,502,53,649,282,500,503,649,649,503,501,501,502,502,502,503,501,103,503,800,500,103,503,431,503,436,282,282,502,800,649,501,503,800,705,503,16,800,693,649,800,488,722,502,502,500,782,800,800,16,502,503,107,800,502,500,503,501,501,649,800,800,800,500,500,19,500,503,16,501,502,500,502,649,800,800,504,800,800,800,502,800,800,501,503,501,761,502,649,649,502,501,800,694,800,966,397,649,282,500,649,500,800,649,800,508,897,800,649,501,501,282,995,503,282,501,649,500,503,501,800,504,500,501,503,501,800,501,649,649,503,503,503,800,501,501,502,282,500,970,800,502,501,370,16,649,649,502,503,800,37,500,501,282,282,504,501,16,16,411,901,649,800,503,502,504,649,107,649,800,649,649,649,282,501,500,502,282,800,794,501,979,800,503,502,649,503,502,649,800,649,502,800,889,16,501,649,649,800,502,227,503,800,800,16,282,500,649,503,503,16,503,649,500,502,500,502,16,649,500,282,649,649,503,282,501,127,649,502,500,16,282,501,501,501,502,500,649,282,649,500,502,282,649,503,649,501,800,736,649,282,500,405,16,649,500,500,608,501,503,502,504,483,649,502,503,503,502,504,800,149,500,649,502,501,649,35,649,500,282,649,800,800,501,274,502,506,107,502,532,502,500,502,649,501,699,876,503,800,504,501,16,503,500,503,503,503,500,800,503,282,16,282,500,501,500,266,649,502,501,800,39,500,501,502,501,649,503,504,16,502,107,649,501,503,502,500,800,500,741,503,431,800,16,282,502,800,500,500,32,500,800,501,100,500,715,800,688,502,353,671,723,502,107,502,93,649,968,501,500,128,192,800,501,501,501,649,500,649,752,502,501,500,502,16,800,502,503,502,502,502,500,16,800,502,500,501,501,502,800,500,502,649,500,570,500,16,864,761,16,790,501,503,503,800,800,502,800,649,390,500,500,282,282,649,800,282,649,502,282,502,502,107,691,16,503,755,501,282,800,649,282,500,16,503,180,649,500,503,501,107,282,503,103,800,500,503,501,461,649,282,800,649,503,800,502,503,500,800,500,649,800,800,502,649,503,410,500,503,649,800,503,501,341,500,500,649,800,800,501,502,501,844,800,632,500,551,737,800,501,501,800,502,649,500,282,800,500,453,500,501,649,502,800,800,800,792,649,501,16,965,500,500,500,217,649,250,649,502,502,649,501,503,500,501,504,500,502,503,501,800,503,800,502,502,649,500,503,500,800,501,649,79,800,649,500,503,649,502,502,501,245,501,800,503,132,500,800,649,503,502,282,800,501,503,502,649,502,500,501,502,500,500,800,717,502,649,500,502,282,503,503,282,503,16,501,800,282,649,649,649,500,800,649,800,503,800,502,502,800,503,503,800,500,501,649,649,500,503,501,649,500,649,794,502,800,649,503,500,760,502,235,503,500,502,127,649,502,501,649,649,503,500,800,957,501,800,800,282,535,649,16,649,800,649,500,503,500,649,289,501,502,543,649,500,502,515,504,501,503,315,282,503,503,16,649,747,502,800,501,22,751,89,649,649,503,282,501,504,501,649,800,502,500,113,16,500,500,800,500,517,952,501,649,504,502,502,649,575,502,282,853,503,705,282,282,501,386,500,218,500,800,500,649,502,649,501,501,682,800,501,501,283,503,649,649,501,782,500,501,500,501,503,800,282,800,501,776,503,800,503,649,501,500,800,649,282,649,500,502,103,863,800,649,66,500,16,501,800,501,848,503,649,950,649,16,800,800,16,800,229,807,649,501,16,16,500,16,16,848,800,282,349,500,500,501,502,502,500,649,649,503,504,503,16,649,809,800,800,800,649,500,502,649,649,503,800,501,504,432,649,501,501,500,503,16,502,500,649,649,800,503,503,500,216,501,800,503,502,502,503,649,906,800,649,500,649,282,103,552,503,649,501,503,502,503,502,892,500,501,503,649,649,800,503,649,649,16,502,503,500,500,503,800,800,503,885,93,503,800,649,649,649,649,800,282,503,649,16,800,500,503,149,503,649,800,282,500,800,500,501,503,649,800,649,649,662,986,282,503,501,16,501,800,501,800,800,282,416,33,282,503,931,107,500,800,107,282,500,16,16,500,82,500,837,501,501,503,800,502,800,500,482,500,649,649,501,500,500,494,500,501,500,800,500,501,503,503,800,649,282,36,503,500,503,649,649,503,649,800,282,500,420,502,16,620,503,649,502,800,503,502,800,800,800,800,649,649,500,501,502,502,500,504,501,282,504,502,800,3,800,503,645,800,503,800,501,282,504,282,501,502,503,752,501,500,649,649,66,16,502,282,501,501,501,500,800,16,500,501,800,501,500,16,501,649,503,800,436,502,501,16,282,501,501,649,794,171,103,500,502,502,800,800,56,503,649,800,694,502,500,282,503,500,502,503,501,800,649,472,500,501,500,500,217,649,501,249,786,481,502,902,705,649,92,800,800,649,11,500,502,649,503,800,503,649,800,800,800,800,800,649,282,501,503,73,502,972,502,500,107,407,503,500,503,500,500,800,282,504,504,216,500,800,16,800,501,282,282,455,503,764,501,282,502,503,503,500,501,649,282,502,705,502,613,800,800,502,649,500,649,503,351,503,503,27,502,282,282,502,500,649,500,503,491,800,503,16,649,800,503,800,800,107,649,135,503,500,502,502,503,140,502,502,649,504,282,500,500,502,501,502,800,107,478,282,894,649,282,282,501,649,107,107,282,501,169,649,276,800,502,707,649,282,640,501,649,800,282,500,503,502,501,500,649,349,188,800,107,500,800,501,501,501,501,500,649,16,649,503,502,502,649,107,503,503,649,511,197,500,282,649,649,502,800,501,503,500,503,649,502,501,518,649,503,107,649,566,686,282,502,503,501,783,503,16,500,282,138,649,649,282,800,500,423,375,282,503,501,501,282,501,501,502,500,649,503,800,590,282,95,282,393,500,800,649,800,502,649,503,649,95,500,800,500,500,649,503,504,501,800,103,500,502,502,176,503,501,501,482,282,649,649,501,800,500,500,800,500,282,503,502,282,502,797,282,800,500,649,440,503,503,502,503,800,800,282,502,502,502,503,500,502,502,743,504,500,503,501,503,501,370,800,800,800,649,800,800,16,501,502,503,649,649,501,501,131,504,500,800,16,502,16,649,501,669,16,502,282,500,503,800,503,502,500,800,800,503,547,502,501,500,669,502,800,500,352,30,16,800,771,500,501,649,503,500,502,501,500,103,282,502,717,502,501,503,649,502,649,407,800,500,800,46,926,649,649,502,800,501,549,503,649,501,504,503,502,103,500,649,501,396,800,800,58,800,500,649,627,282,800,501,800,649,500,501,800,16,500,649,500,6,649,503,917,282,800,800,503,800,649,649,688,282,501,501,500,800,500,51,502,649,503,500,502,29,996,850,504,500,649,624,500,800,282,502,924,504,503,240,376,800,649,500,649,649,800,500,501,502,16,501,501,350,502,501,501,500,501,503,503,501,501,502,212,800,502,800,540,500,649,800,500,800,800,793,800,502,500,500,500,649,800,504,501,649,502,502,504,405,503,500,282,502,800,649,502,503,503,276,503,649,500,492,501,501,282,502,500,800,503,502,800,504,501,649,500,501,282,649,511,783,503,16,64,500,800,213,649,503,502,500,800,500,407,800,502,607,800,282,500,502,649,800,264,504,16,800,500,800,16,649,500,504,503,501,500,502,103,649,800,502,502,501,112,504,649,503,800,500,800,501,800,500,718,16,175,649,649,502,501,503,500,161,870,800,500,503,649,21,282,479,719,282,401,500,503,800,503,500,550,500,649,16,500,502,524,16,939,502,54,501,649,800,501,649,502,934,282,503,501,16,500,800,503,800,649,918,800,501,449,501,501,649,107,500,649,800,649,501,282,502,903,649,501,501,649,649,503,502,503,16,282,502,503,500,500,224,501,502,649,502,800,649,6,282,800,501,16,649,501,501,503,162,502,502,282,503,501,500,500,277,649,649,501,800,838,500,500,576,103,502,500,649,649,500,649,503,649,503,503,544,502,503,501,503,503,649,649,500,504,282,501,500,800,503,500,502,781,500,501,502,800,502,502,649,500,502,502,282,501,501,800,282,282,503,800,502,501,500,800,649,800,23,282,500,501,649,800,502,649,422,503,282,800,503,503,800,500,649,282,501,501,649,503,282,800,503,282,404,800,800,800,501,282,502,627,637,649,503,800,649,503,629,649,649,503,800,501,282,649,503,503,649,500,503,649,502,649,800,502,501,503,649,649,500,103,501,649,16,649,502,500,502,800,503,502,228,502,649,649,503,503,501,800,500,649,502,800,649,503,501,649,502,649,32,649,16,800,502,478,500,501,800,502,16,503,158,800,800,800,501,502,502,503,500,470,503,503,502,386,501,859,500,800,649,500,501,282,282,502,503,800,209,502,800,503,502,500,500,928,501,500,501,341,282,649,501,503,503,501,502,502,502,649,500,500,500,501,649,282,502,800,800,649,503,501,282,502,776,922,800,502,502,16,800,501,504,503,501,107,502,800,649,800,502,800,649,501,504,502,500,800,501,282,502,503,500,800,649,502,503,501,501,16,16,502,359,16,800,800,127,501,649,500,104,649,912,502,800,501,800,502,800,500,500,501,501,500,500,649,503,501,706,503,563,501,501,500,500,695,503,649,500,503,503,819,16,649,501,12,103,501,500,800,649,502,103,649,503,464,501,974,500,502,500,126,459,502,502,16,800,500,87,649,502,502,51,800,988,501,501,501,800,282,502,484,16,392,500,502,800,502,743,501,501,649,800,649,649,879,800,501,500,501,502,503,800,800,502,156,282,500,663,502,503,636,501,501,649,800,800,501,502,504,282,649,921,800,800,502,500,429,282,503,649,800,800,502,800,43,282,500,502,608,503,649,502,501,649,229,192,500,282,503,503,649,504,786,282,800,107,800,800,501,800,502,649,282,503,502,282,870,800,54,282,501,16,503,500,649,649,811,16,503,502,649,649,411,16,649,503,282,500,649,643,503,649,80,16,16,282,705,500,16,503,503,501,500,719,503,800,503,800,800,800,501,800,503,500,649,800,649,649,649,800,503,501,282,800,503,800,800,649,800,800,691,501,500,503,800,800,895,502,501,503,501,16,503,800,649,797,502,649,649,500,503,502,503,800,502,800,406,500,502,500,501,649,282,503,503,503,729,800,500,501,501,502,282,977,502,800,282,501,500,282,500,649,800,502,800,500,800,503,747,649,501,107,800,649,503,16,501,503,501,310,503,800,649,800,500,800,649,502,503,501,800,100,634,800,501,282,649,501,501,502,800,397,501,800,501,501,502,502,800,502,16,503,502,503,502,649,502,649,282,649,800,800,502,500,502,641,501,282,649,800,282,649,500,649,605,503,649,649,300,741,470,502,973,649,649,503,986,501,501,502,502,500,500,282,502,500,500,879,649,501,504,800,147,502,649,503,503,282,800,389,502,137,16,502,502,500,16,503,500,500,807,690,502,649,282,503,882,637,649,611,501,800,110,800,649,503,800,364,649,911,107,501,800,91,585,502,500,58,649,501,649,649,16,504,502,501,500,265,503,503,800,725,265,649,501,282,282,282,502,502,502,103,800,800,501,503,500,282,501,649,649,800,649,282,649,649,16,693,58,649,522,504,800,282,500,500,501,800,501,649,503,800,800,649,800,649,500,16,833,908,107,649,503,500,649,649,500,81,501,800,243,500,504,500,649,500,501,649,500,503,503,503,425,800,502,649,501,502,649,503,800,649,16,502,502,500,800,502,16,16,16,502,207,500,212,412,649,282,282,649,800,800,501,282,357,501,800,649,800,501,100,502,649,414,800,502,800,501,16,649,800,501,502,503,649,501,502,282,502,800,649,502,503,503,282,16,90,800,500,502,687,333,502,500,800,798,800,502,500,3,503,501,500,800,282,800,282,501,502,500,500,504,502,500,649,500,950,501,864,282,989,497,502,502,500,800,501,503,501,934,503,503,501,502,501,501,500,502,501,503,502,16,800,502,500,16,649,501,933,800,16,500,255,649,800,501,16,649,446,501,649,503,708,107,800,504,800,800,500,649,501,501,649,503,501,800,502,800,927,649,503,649,649,503,503,16,800,282,649,649,503,649,500,464,282,501,501,800,501,649,800,502,649,649,282,503,915,282,685,500,649,501,500,800,503,800,502,500,502,282,776,503,693,540,500,502,502,503,800,502,649,503,501,649,282,564,500,800,501,16,437,800,282,649,502,502,372,503,282,503,500,366,502,500,649,501,419,800,16,503,800,800,800,203,501,502,503,502,282,234,502,500,503,800,500,500,502,501,501,500,649,501,501,501,502,282,649,649,502,500,649,503,297,649,649,503,500,501,649,16,503,500,524,800,502,482,649,500,800,103,267,800,500,649,500,649,502,596,800,502,500,800,503,282,649,501,595,503,503,501,800,501,501,800,502,503,800,800,501,800,800,800,800,503,506,405,503,800,282,649,503,429,500,649,282,500,502,500,800,502,502,503,503,502,800,502,500,649,206,91,503,649,503,502,471,502,501,502,504,800,503,305,800,500,63,649,649,501,500,503,503,649,388,649,501,649,800,500,501,649,800,957,500,800,500,502,649,800,500,502,502,504,103,928,503,500,503,282,649,282,649,503,649,503,800,800,107,503,502,649,649,503,500,502,554,649,160,502,503,800,502,501,503,501,800,501,501,282,503,501,500,501,503,501,500,502,503,800,501,500,500,500,800,503,502,649,503,282,649,800,501,800,503,800,800,500,297,186,501,800,5,938,500,16,282,503,500,800,503,649,282,161,157,503,759,501,503,502,800,282,137,800,800,500,500,500,823,800,502,503,800,282,16,800,500,503,503,935,504,501,503,282,282,193,502,503,800,103,853,501,501,503,501,500,502,502,502,649,800,649,501,92,501,609,649,500,500,16,500,800,16,16,500,800,800,515,800,112,831,501,500,649,800,503,502,649,503,503,285,649,800,800,963,649,282,649,503,540,501,649,800,500,500,649,649,328,649,16,800,502,502,649,500,539,501,501,501,16,500,800,282,500,502,649,649,503,502,503,649,649,500,502,503,649,503,800,501,500,649,800,503,502,800,503,649,800,649,511,100,503,21,502,800,388,282,501,649,282,501,500,501,649,502,500,639,500,501,504,503,891,500,282,501,501,502,649,500,649,800,503,501,800,649,800,501,800,800,800,282,282,482,501,16,649,503,649,503,649,649,502,501,500,503,500,800,739,800,282,500,500,800,649,800,649,800,500,503,500,500,501,502,649,93,649,503,649,564,501,502,649,503,107,503,503,500,800,649,500,504,649,800,500,278,228,946,730,453,503,503,500,500,649,291,16,500,502,500,501,649,107,649,500,500,500,800,16,705,282,952,282,282,501,807,503,649,502,501,503,16,501,500,16,501,282,503,502,649,501,649,649,503,501,503,649,800,502,800,16,500,800,501,502,502,501,800,800,503,649,800,502,500,500,119,800,16,800,640,261,672,501,503,503,282,462,800,503,501,800,649,282,438,501,800,649,543,362,500,503,649,282,502,503,107,450,502,800,649,500,800,502,649,282,282,282,502,500,502,800,502,502,924,500,502,502,800,501,501,16,800,575,500,980,106,501,501,800,501,501,502,649,282,282,502,503,503,800,282,500,705,99,502,649,857,800,500,503,649,500,800,426,502,503,501,502,503,800,282,500,503,649,501,800,649,649,265,649,800,504,502,502,282,800,282,500,800,502,943,16,649,282,504,501,103,649,501,649,688,502,649,504,649,502,501,800,649,500,502,967,503,649,649,800,800,504,383,800,500,501,800,16,501,501,563,282,500,503,503,503,717,314,503,501,886,649,503,502,503,503,282,800,500,500,800,503,649,501,649,649,800,500,800,649,800,800,107,500,501,502,500,500,900,800,766,502,800,634,502,501,800,500,637,503,800,649,503,500,503,500,800,503,649,800,649,500,501,791,504,649,500,503,31,802,502,501,502,503,649,649,500,649,800,75,800,834,503,504,282,502,205,500,282,649,800,502,501,503,502,282,500,500,503,502,503,503,501,500,500,649,502,501,16,503,503,501,282,500,800,503,649,884,649,502,800,718,501,649,649,501,502,502,503,649,800,649,282,943,649,502,478,649,16,800,16,942,800,503,503,938,649,501,800,500,649,500,693,282,501,503,503,501,502,476,107,282,500,800,503,503,503,500,505,788,500,500,501,500,800,590,501,800,705,800,22,282,800,500,503,502,282,501,107,649,800,16,649,501,503,502,800,501,501,800,502,305,649,501,649,502,501,500,16,502,501,500,282,649,502,800,502,649,503,501,503,800,502,500,503,501,503,500,501,800,674,382,134,465,649,500,501,503,501,503,800,649,504,282,503,16,501,800,282,503,649,500,501,500,282,282,273,389,501,500,501,649,649,800,649,282,502,503,502,503,649,500,800,800,504,501,503,501,800,514,500,282,164,501,503,282,800,800,502,502,649,649,800,144,282,502,500,500,16,800,649,800,503,649,501,189,500,501,649,649,800,500,501,500,500,504,800,502,503,502,659,800,503,503,649,558,103,503,800,502,502,504,500,500,503,501,282,501,503,502,503,57,502,800,503,649,591,800,503,503,503,503,649,800,502,800,490,102,607,501,503,282,282,16,282,500,649,501,323,649,503,500,501,282,500,501,151,282,502,766,501,16,649,282,502,800,500,503,501,502,502,17,501,503,501,500,501,586,502,347,57,501,500,502,501,503,502,502,800,800,62,800,500,505,800,503,16,16,502,100,503,800,503,501,502,500,501,500,16,500,501,602,502,872,500,282,511,502,501,503,503,282,500,282,501,503,282,503,800,501,107,649,500,649,503,16,649,96,503,501,500,282,649,501,501,501,502,282,500,501,534,913,500,500,500,502,502,649,649,800,501,503,800,402,500,502,381,433,501,500,649,649,504,559,282,504,503,501,649,502,649,800,502,500,503,500,649,502,503,500,890,500,503,800,649,502,503,649,610,282,153,649,501,503,282,502,503,500,800,503,649,800,800,502,622,282,800,282,502,16,503,800,500,500,763,502,503,800,501,501,500,649,502,500,649,282,502,16,500,649,800,501,502,649,503,501,800,649,501,649,503,503,501,501,501,16,800,500,16,867,800,503,502,800,469,500,282,800,503,107,500,502,800,282,765,503,501,16,16,649,500,500,282,500,800,500,503,500,502,282,800,502,282,500,478,500,503,649,504,16,501,503,282,500,650,503,500,282,800,633,500,502,501,500,649,503,649,502,500,500,649,800,503,649,501,500,156,800,800,800,649,502,800,103,97,649,619,16,502,282,117,501,502,503,649,501,500,500,501,500,996,502,500,502,503,800,649,500,649,503,500,649,501,809,16,790,323,505,503,502,282,502,800,800,800,503,503,649,41,740,503,649,500,800,449,503,800,649,501,800,649,800,282,501,649,282,800,649,909,502,491,500,503,649,649,800,649,649,500,649,503,107,503,500,501,107,649,503,649,800,503,649,800,500,501,503,16,501,501,461,282,501,800,504,502,800,800,649,501,992,503,649,502,649,501,800,502,282,502,503,501,946,503,500,207,500,502,503,500,800,503,503,500,502,364,501,649,502,800,649,800,282,501,500,503,501,500,282,503,501,500,503,28,16,500,479,800,39,800,754,941,282,501,649,130,384,225,800,450,689,312,502,800,501,500,88,502,288,501,502,503,502,501,503,800,502,501,503,502,503,661,800,16,500,581,501,293,502,649,649,800,800,502,502,552,500,503,282,800,996,502,282,500,649,502,501,502,502,480,649,504,502,939,502,501,711,502,500,649,800,503,501,503,16,502,562,282,668,502,500,771,282,503,800,800,501,501,500,503,649,649,282,423,502,503,502,649,503,501,761,780,500,282,502,800,800,922,800,649,649,882,469,502,282,649,503,500,800,800,500,649,500,16,649,503,501,649,502,911,649,282,503,800,500,282,500,69,282,800,649,501,501,503,501,107,641,500,649,172,502,503,503,800,282,501,501,16,500,500,649,503,800,800,501,800,800,800,649,503,764,503,503,500,649,504,282,503,705,501,500,649,855,1,684,501,503,689,649,16,720,501,503,500,917,800,503,183,58,649,10,800,800,190,374,889,503,895,962,501,503,501,166,800,500,16,470,800,800,16,282,800,503,800,800,14,501,800,500,501,649,504,503,800,503,282,502,501,282,500,800,500,502,502,800,424,500,800,503,800,800,800,504,502,800,501,800,500,402,500,500,503,16,500,500,800,800,800,800,904,800,501,282,502,503,649,500,501,282,282,984,705,500,503,503,503,501,503,282,502,500,649,501,800,501,500,502,692,282,502,800,385,500,503,282,501,500,503,501,743,502,502,649,649,16,800,631,501,800,501,800,501,502,800,503,503,282,502,800,503,800,501,503,891,622,586,501,107,503,500,503,500,800,502,800,500,800,500,800,282,649,501,800,649,919,800,282,502,500,800,800,502,503,671,600,649,502,16,502,800,500,502,441,500,503,948,282,502,282,500,500,800,502,800,16,503,503,800,800,500,282,503,16,649,500,649,800,800,800,714,503,501,800,649,282,16,500,649,500,649,800,649,502,502,100,503,800,800,16,649,860,800,503,649,502,501,500,990,502,649,503,503,800,739,501,501,16,800,501,170,503,503,282,800,649,504,501,502,282,503,501,501,649,800,859,800,498,649,500,500,503,649,318,502,282,501,503,500,649,500,501,502,503,502,501,502,500,500,500,800,649,800,502,501,649,800,500,503,503,16,800,800,500,501,800,649,800,503,649,502,503,523,282,502,504,502,502,800,894,282,500,107,502,282,500,800,502,649,501,649,299,103,503,500,502,501,502,282,103,500,500,503,501,501,501,649,500,242,282,714,282,501,503,502,649,503,503,685,112,16,500,503,800,501,501,847,501,649,800,282,502,503,800,649,501,502,500,800,559,500,503,503,500,500,501,16,800,500,501,501,282,800,906,502,800,502,501,501,500,502,503,477,649,800,502,500,800,501,649,502,282,649,649,501,16,907,16,503,846,649,503,500,503,501,649,649,503,501,649,649,834,418,503,600,16,501,649,500,800,408,503,649,501,800,503,501,503,503,800,800,251,143,502,282,501,800,501,501,501,800,649,503,503,282,282,800,649,503,81,800,649,651,503,16,502,502,500,500,151,500,915,500,800,834,503,282,800,649,500,410,800,269,503,800,649,94,388,502,649,282,503,503,403,16,649,282,240,649,503,411,501,503,500,649,649,800,103,658,800,501,16,658,501,649,500,501,282,649,396,499,800,800,502,501,503,800,941,649,649,696,501,500,994,16,282,500,134,800,501,500,502,228,649,503,503,500,649,448,501,503,649,649,282,502,800,503,502,501,16,502,282,800,800,14,503,501,502,502,500,501,500,133,501,501,800,16,800,107,800,649,503,16,501,800,649,502,500,503,501,501,649,500,282,503,502,800,502,503,503,504,800,800,800,649,501,500,800,649,16,649,501,649,502,501,500,800,800,282,503,649,502,500,107,501,800,16,500,503,503,501,649,850,502,501,502,500,502,503,502,548,502,503,110,503,649,800,500,649,649,502,500,800,503,501,282,800,503,677,800,282,649,282,500,503,500,500,502,16,500,503,500,501,500,502,903,473,502,503,501,326,649,649,502,649,649,502,649,502,501,282,503,885,503,800,282,501,649,800,800,282,503,800,16,501,800,500,500,393,503,502,800,16,976,501,500,134,500,503,503,500,282,800,800,16,500,672,501,545,195,503,649,649,503,649,502,800,502,607,649,176,502,800,901,500,660,893,501,500,502,500,800,502,660,800,16,503,503,649,503,800,649,649,800,282,503,501,16,649,282,503,503,503,282,649,800,649,501,500,649,800,297,501,501,634,800,649,800,649,503,800,282,502,503,502,501,502,501,503,800,502,503,129,649,503,801,500,649,502,503,16,126,282,501,501,800,800,501,502,16,604,800,282,502,501,503,502,502,502,800,502,724,503,501,503,800,501,500,500,800,835,500,502,500,800,649,902,649,649,500,649,800,502,500,800,649,500,504,500,503,649,503,500,503,355,649,502,501,501,501,282,501,503,800,301,16,502,500,800,500,649,446,503,534,649,502,800,446,800,181,16,502,502,500,502,800,800,800,502,501,649,501,502,501,649,800,501,649,800,282,112,503,501,282,800,502,500,800,504,800,800,503,800,16,900,500,649,800,503,503,500,501,649,800,502,800,501,800,500,502,500,649,744,16,504,800,705,500,501,649,501,500,107,500,239,996,503,800,502,649,500,649,502,649,495,503,502,503,800,5,800,649,800,800,502,500,649,649,500,95,16,502,800,649,502,500,649,262,501,282,649,501,282,800,16,500,282,503,800,717,649,501,649,504,502,501,649,501,501,649,501,282,649,500,500,800,502,529,435,649,282,282,515,503,502,800,479,16,649,800,16,504,282,500,502,504,800,800,800,502,16,53,502,503,503,504,649,103,16,443,800,502,502,282,503,705,501,503,800,962,500,501,554,501,649,800,800,649,502,500,649,649,501,502,282,502,16,503,501,800,501,649,373,800,800,800,867,16,582,800,500,564,503,975,16,800,800,282,800,107,800,502,207,502,282,502,800,649,501,800,487,500,501,16,282,503,503,61,503,500,501,500,800,282,956,500,503,282,500,504,501,502,502,501,754,500,502,282,501,649,451,16,282,503,409,500,282,500,503,501,282,649,500,503,503,501,502,503,649,503,781,800,503,24,503,503,501,502,502,502,500,481,800,647,502,502,501,185,503,282,500,502,500,501,500,501,282,800,501,264,502,649,501,500,807,503,800,502,800,649,504,503,800,504,502,282,501,892,16,800,649,16,504,145,649,649,503,504,649,282,282,16,282,503,101,501,503,585,500,282,500,159,501,501,502,649,282,500,649,502,800,649,503,502,502,649,800,649,501,500,501,16,500,705,800,800,502,503,501,503,501,649,800,649,894,800,800,503,282,649,500,502,800,501,431,501,282,502,864,282,502,503,800,654,501,500,503,500,16,501,500,649,649,495,500,502,500,501,503,585,323,800,649,500,107,649,502,503,500,649,282,800,649,282,500,502,501,337,800,500,500,502,800,501,925,800,500,500,16,502,807,502,107,282,16,282,798,503,500,500,500,107,502,378,340,649,649,800,500,649,800,649,503,502,800,501,503,282,649,649,501,800,800,800,500,800,503,503,649,501,800,16,800,503,501,800,800,800,800,500,503,502,800,800,649,16,449,649,800,502,800,502,500,500,166,502,502,503,500,800,800,501,918,500,501,649,502,282,622,16,800,502,368,502,649,282,502,649,503,504,502,649,282,16,649,649,503,503,159,502,500,649,800,503,282,626,800,97,501,649,500,800,500,502,503,649,977,500,501,800,800,800,501,282,500,649,649,504,649,800,500,103,501,500,16,502,649,502,649,502,502,503,655,107,501,282,282,501,500,16,662,800,502,503,503,649,800,16,500,800,502,282,502,502,800,502,502,503,107,502,501,500,500,800,501,502,500,501,501,811,502,379,649,282,502,504,649,502,500,503,500,501,282,16,502,500,232,500,16,502,800,504,88,503,800,503,500,500,503,502,500,502,501,592,503,649,501,502,500,800,649,649,502,649,649,502,503,500,500,649,382,16,500,501,500,501,503,536,500,262,502,503,503,503,503,502,501,501,500,282,501,800,504,365,500,503,318,16,500,502,282,649,503,503,500,501,500,649,500,800,502,800,282,502,800,502,502,502,456,502,501,924,649,800,503,502,649,501,282,800,16,503,501,282,501,649,502,501,800,800,500,504,501,503,502,16,502,503,282,107,282,503,649,800,503,503,502,502,500,572,800,501,67,500,503,500,501,649,503,282,800,282,503,403,500,649,649,501,800,282,800,503,800,800,501,908,649,502,504,502,501,500,502,503,62,502,479,896,282,649,500,501,816,282,501,502,502,501,501,619,800,469,500,831,502,500,502,500,800,500,649,501,502,282,501,649,501,503,800,500,503,502,501,800,649,501,511,503,502,16,501,400,334,800,501,502,500,16,649,503,649,649,502,649,151,504,503,16,500,649,649,502,649,502,668,649,504,282,500,16,502,501,649,502,501,766,503,503,500,503,500,649,500,503,501,645,950,991,180,502,282,800,800,503,500,500,588,500,800,503,501,503,875,800,500,649,800,500,16,800,282,282,649,800,16,503,503,649,503,500,502,502,649,503,800,500,502,500,775,649,502,158,501,649,642,800,501,502,649,503,500,282,502,189,503,649,500,502,722,503,282,16,800,412,807,282,501,59,649,500,502,503,502,501,800,501,503,501,502,502,16,649,522,502,502,282,877,501,501,217,500,800,800,503,282,649,502,502,503,513,502,649,649,500,503,501,649,649,500,800,800,503,504,502,502,649,649,501,502,16,501,500,282,649,685,426,503,501,500,282,161,503,204,649,649,259,501,503,501,800,500,649,282,282,502,649,16,16,282,649,800,103,504,705,800,500,649,502,502,800,696,503,800,841,503,879,512,282,503,800,503,184,922,800,501,503,800,282,649,501,501,800,16,500,500,501,649,649,501,500,649,500,501,502,503,800,500,503,502,500,859,800,405,502,503,16,107,282,554,502,501,500,800,503,649,282,649,500,966,503,327,16,501,987,800,800,501,500,502,800,800,500,501,500,282,501,649,151,649,649,649,501,500,107,504,504,11,841,501,503,501,245,501,649,504,502,502,800,16,800,594,500,500,502,800,814,649,502,449,16,649,649,368,500,502,503,500,107,502,282,500,502,503,800,51,95,502,107,500,502,501,503,16,503,501,500,503,800,502,649,892,501,742,910,504,16,282,107,800,501,502,503,800,501,800,500,503,503,504,502,503,649,649,502,282,503,502,500,500,501,503,503,16,649,293,649,649,502,16,881,807,503,502,16,649,503,16,501,502,500,501,502,800,500,502,282,649,502,800,800,501,172,502,503,503,800,500,500,837,752,649,649,282,800,502,282,502,800,502,303,649,800,501,500,500,503,282,649,500,503,509,500,502,501,649,501,503,649,649,500,649,503,343,282,503,503,503,503,16,282,502,55,502,500,77,502,839,649,500,744,201,800,103,649,649,501,698,502,649,500,501,500,502,503,800,954,705,282,503,103,503,503,500,800,503,649,501,516,649,502,649,649,501,501,697,503,500,502,501,800,500,800,800,743,693,501,800,500,502,501,800,500,800,800,502,500,477,501,282,649,501,217,504,502,504,503,36,501,502,501,764,501,649,800,800,800,649,500,649,502,800,501,501,503,502,503,649,503,501,501,502,502,282,500,649,502,16,34,502,649,281,649,649,500,282,500,852,800,502,502,500,649,500,530,502,503,157,268,503,311,800,649,500,500,503,282,649,649,16,500,750,501,501,627,503,502,502,568,800,800,699,502,502,670,502,502,800,931,800,501,503,500,501,501,503,649,502,500,501,501,800,503,649,501,501,502,282,871,282,16,800,500,800,649,501,500,504,504,649,500,502,649,800,351,649,649,282,502,649,649,500,500,503,502,800,16,503,871,500,500,500,503,502,800,502,504,501,649,649,800,503,649,282,503,503,503,503,649,16,649,282,500,800,503,267,132,107,500,800,501,282,282,222,500,748,469,373,503,649,800,500,800,501,652,501,800,503,829,501,501,649,16,501,766,800,649,503,501,501,503,869,649,500,502,501,500,502,800,500,800,477,502,501,237,502,649,503,502,137,501,503,500,501,500,502,800,502,500,503,16,282,502,502,503,652,501,500,502,531,501,282,500,800,282,502,156,886,800,501,800,800,649,503,501,502,502,800,16,282,282,839,501,282,800,501,282,502,16,649,502,501,789,503,64,649,282,14,16,800,501,501,500,800,503,500,185,502,503,501,500,282,500,502,282,503,649,500,800,649,800,649,503,800,502,282,649,503,800,503,504,501,649,501,502,649,800,501,502,503,502,503,503,501,501,649,500,502,800,503,503,500,500,887,282,800,503,282,800,800,800,503,97,503,282,500,500,879,800,500,501,649,501,502,503,74,282,151,501,649,500,503,501,282,800,800,500,500,502,16,500,500,649,282,502,16,16,777,649,503,840,504,502,501,800,800,800,502,800,501,501,500,16,502,800,503,501,153,800,16,16,500,16,282,649,503,12,501,501,649,503,649,348,649,501,504,501,800,800,8,501,16,282,282,502,9,800,504,503,503,500,771,501,501,500,184,307,675,800,16,649,501,503,800,800,800,502,501,16,800,800,800,78,800,16,500,503,501,16,800,649,282,503,501,103,500,949,501,338,800,282,500,502,503,587,800,800,800,800,501,800,455,500,500,503,326,16,502,103,110,501,984,500,501,500,501,649,800,107,501,800,570,640,501,503,649,649,514,500,282,502,800,500,503,800,500,649,503,78,649,800,501,502,807,800,501,282,800,500,503,800,503,800,649,100,72,500,503,501,503,503,800,500,800,800,501,502,502,503,861,800,649,501,500,501,503,282,477,649,800,649,649,977,503,282,649,649,504,800,501,800,503,649,501,501,800,503,397,282,502,565,982,500,500,501,502,800,502,502,504,501,502,408,905,500,502,282,800,800,504,503,500,649,649,500,282,800,503,282,16,959,649,16,800,649,500,503,501,500,500,500,501,501,282,650,503,500,282,800,502,649,500,649,649,503,501,426,502,501,649,501,334,504,502,504,612,282,282,282,501,482,649,500,800,815,467,351,501,800,649,502,504,500,649,503,800,500,500,501,107,501,800,504,649,502,501,649,502,384,664,500,503,503,800,649,502,649,282,500,364,161,503,337,503,501,502,800,500,800,282,503,16,503,649,800,503,814,502,800,800,629,577,800,502,501,503,501,278,649,502,501,800,502,503,501,438,501,502,500,800,500,502,985,478,503,243,503,500,800,500,502,501,768,503,501,503,501,503,898,503,282,649,800,282,501,503,503,500,649,282,800,501,501,503,502,501,501,500,282,649,503,501,282,500,132,500,500,502,107,502,282,502,500,800,504,500,800,800,649,247,604,282,649,504,500,649,604,501,502,503,132,503,800,103,503,502,649,503,649,501,705,501,502,800,502,500,649,800,503,800,649,500,209,800,503,500,649,503,800,649,649,503,800,800,501,800,503,503,503,501,282,501,649,800,268,502,649,500,503,165,501,501,501,16,500,800,16,807,503,503,649,282,500,649,500,649,594,501,649,800,503,503,503,502,649,503,501,16,599,500,800,500,649,502,500,649,16,503,84,503,502,504,501,500,502,800,503,800,16,503,282,500,501,502,503,649,107,459,649,16,282,282,800,649,825,16,500,16,800,797,500,503,282,800,502,183,649,500,721,800,649,502,502,800,649,649,943,501,500,800,501,501,649,503,500,316,282,501,107,500,831,33,502,501,800,501,89,47,64,649,913,500,649,649,501,503,649,503,800,503,649,579,500,500,503,501,282,501,500,502,723,501,500,500,649,649,500,502,649,502,500,503,501,649,501,800,282,502,501,800,87,500,649,502,503,502,800,503,649,649,503,501,503,198,649,500,661,800,501,503,501,649,123,808,503,503,500,800,503,501,501,800,484,502,16,503,282,649,16,501,500,503,649,502,500,501,16,501,800,503,104,800,800,900,503,503,649,282,503,800,501,649,501,649,692,800,502,800,800,500,500,649,800,800,501,500,501,439,800,503,502,500,500,503,500,717,800,502,800,503,503,800,649,488,800,282,501,503,800,649,800,501,16,800,503,502,502,500,16,100,676,800,501,501,501,649,851,800,16,800,649,501,649,282,501,649,500,71,800,649,282,800,500,504,500,282,800,282,282,282,500,503,595,503,776,502,502,171,500,166,500,503,500,87,800,503,500,902,714,503,501,503,503,501,256,503,500,501,501,755,500,501,649,501,800,16,502,503,800,649,502,800,800,403,800,501,800,501,376,502,503,502,501,502,504,502,800,800,282,502,500,502,500,503,502,500,800,500,649,649,588,800,800,502,500,501,800,501,500,501,800,40,16,503,800,502,502,502,756,800,975,501,501,503,16,16,501,16,800,649,502,503,503,217,800,501,516,500,649,16,649,282,800,800,649,800,502,502,649,662,282,502,503,501,503,503,501,502,503,503,500,503,282,501,649,971,753,700,255,503,662,502,502,501,649,500,649,649,800,501,501,500,800,649,500,282,649,800,500,502,502,649,503,502,800,446,501,649,501,500,107,500,16,502,501,503,894,649,502,500,649,649,500,501,503,649,282,16,501,800,500,503,649,500,501,649,800,501,501,504,500,500,800,500,649,504,501,282,501,502,501,500,500,800,649,502,649,282,503,501,501,282,500,800,536,91,800,800,16,649,503,174,503,503,501,649,500,503,943,503,500,16,502,800,946,501,107,800,800,103,16,503,503,502,503,282,800,705,800,502,800,16,282,500,649,649,16,501,500,502,800,16,501,503,502,503,282,500,502,501,503,77,500,503,500,649,433,649,502,181,352,73,500,132,282,500,800,649,501,500,649,502,500,501,16,282,300,502,649,500,500,503,503,800,649,500,500,500,649,649,501,282,800,503,502,502,502,649,282,502,151,800,282,501,500,501,800,501,649,282,500,501,800,502,282,500,502,500,504,502,288,502,282,503,503,271,502,501,800,693,312,800,501,649,503,16,503,649,503,649,500,282,501,800,800,800,649,502,500,800,649,954,502,649,503,800,503,502,800,282,649,649,500,503,503,502,501,500,501,500,502,501,503,500,649,500,503,800,501,800,800,800,500,502,501,252,500,501,502,649,16,501,800,800,504,501,800,434,504,501,415,501,913,502,500,502,800,500,500,502,500,501,501,466,800,502,503,649,649,282,502,649,649,649,649,649,132,800,800,16,503,402,649,500,649,800,501,800,800,503,649,800,502,102,501,502,500,502,800,502,282,16,800,504,502,16,500,16,500,501,500,503,503,812,502,502,500,502,800,282,502,500,500,649,800,800,501,500,649,503,800,502,503,500,800,282,503,800,800,503,649,500,410,503,647,16,282,81,108,501,800,705,50,503,502,503,502,800,500,958,502,503,282,502,500,187,500,649,352,800,649,503,628,501,649,800,800,501,501,800,81,800,502,980,502,503,52,500,800,503,504,164,500,800,502,282,16,504,800,800,764,500,500,800,16,800,649,504,568,282,501,502,923,282,649,500,501,500,800,501,503,500,503,107,501,16,282,800,501,500,649,565,536,502,502,502,502,859,649,800,671,821,502,500,282,649,800,500,177,649,500,836,16,503,501,800,800,500,503,500,502,800,282,501,503,309,503,800,548,503,684,503,649,501,500,712,649,14,501,16,500,504,800,501,800,16,500,503,501,800,504,503,649,800,502,282,504,500,501,649,800,502,817,16,16,800,858,649,503,399,502,500,649,74,501,282,649,502,500,800,502,800,500,649,501,649,245,649,504,500,649,800,500,500,852,282,503,800,502,782,501,501,502,500,501,649,800,649,502,503,501,282,649,500,800,502,500,501,800,504,282,502,501,502,800,800,107,503,649,649,800,501,503,502,800,649,240,612,16,800,503,649,849,502,594,501,502,649,649,16,417,800,502,649,504,501,282,500,800,502,800,649,502,252,16,502,359,503,503,503,503,500,502,436,501,708,502,500,503,501,282,800,500,282,502,503,500,500,800,502,141,649,800,502,16,503,501,188,503,347,649,16,501,503,502,282,936,500,500,504,800,293,649,503,800,800,504,501,501,649,282,500,500,500,502,501,502,800,839,800,533,282,503,282,368,800,16,649,649,649,501,649,16,649,501,502,504,649,501,800,800,800,502,107,649,800,503,649,502,16,502,500,501,800,800,503,984,282,501,900,500,800,503,103,134,503,503,649,504,502,649,500,800,500,16,800,502,502,501,503,160,282,16,502,503,107,16,800,503,800,503,16,649,500,500,800,58,500,107,800,500,503,503,800,502,502,503,500,502,938,800,133,503,649,504,234,800,502,503,985,649,800,807,501,800,501,502,800,500,503,500,503,810,500,800,649,502,501,800,800,649,500,503,800,501,887,143,500,282,800,649,649,282,800,649,502,800,649,502,282,797,649,62,503,504,800,500,501,903,107,501,503,800,800,501,502,501,501,16,500,501,462,500,501,676,503,800,502,800,501,914,500,282,503,503,501,502,649,800,996,475,502,501,800,649,468,502,278,502,504,500,282,504,282,740,798,500,704,502,16,503,503,500,649,282,501,502,725,800,500,500,503,500,5,501,503,405,502,800,186,143,649,649,800,570,502,649,397,501,649,503,71,500,800,649,649,504,501,661,500,503,503,502,649,503,282,502,649,921,503,503,501,800,649,649,949,504,800,800,649,786,502,501,504,997,649,282,58,501,800,649,500,649,502,664,800,649,800,501,503,501,501,649,790,16,649,800,933,500,503,502,282,500,501,503,649,649,500,500,500,503,913,743,649,800,800,502,800,849,503,964,502,503,503,649,503,800,500,503,500,500,502,800,503,188,503,503,556,503,800,503,502,503,800,503,282,208,503,8,800,477,282,282,501,282,800,503,503,502,502,500,282,282,501,503,500,800,833,501,503,774,500,500,800,502,796,649,502,649,503,16,501,501,503,16,502,503,502,502,503,503,501,649,501,502,980,503,800,648,649,500,503,800,501,503,800,500,503,500,503,443,423,649,649,501,282,196,503,649,800,645,282,649,282,800,16,504,502,501,800,140,705,503,503,500,503,501,503,503,502,282,502,503,502,503,282,233,867,501,503,500,387,800,934,649,649,501,500,800,800,500,503,16,503,503,500,500,800,500,501,502,500,919,282,502,501,502,502,282,282,501,282,16,503,282,282,503,282,282,503,500,501,649,800,377,501,502,649,503,500,502,282,168,503,649,501,501,889,500,800,502,501,504,107,503,649,983,800,800,393,503,16,896,502,500,103,800,503,800,649,503,503,107,282,930,502,501,503,500,502,503,501,16,196,500,502,501,649,282,501,503,800,282,282,649,501,649,800,500,502,503,649,502,800,503,649,649,501,807,217,502,16,16,190,282,110,67,502,282,501,501,501,800,500,502,503,500,503,504,649,800,800,501,502,16,270,502,800,366,800,690,800,185,649,501,649,500,502,502,503,800,649,997,649,217,500,705,500,800,500,501,501,282,649,500,567,282,504,647,649,282,800,817,575,928,282,502,503,500,503,649,649,503,716,503,649,500,282,503,503,500,800,501,502,649,500,819,342,649,501,800,502,503,650,501,503,500,500,502,994,324,800,177,502,282,107,800,800,649,800,282,501,503,503,282,500,649,800,800,503,649,500,800,282,649,282,501,800,282,502,501,500,501,500,664,502,649,500,800,800,800,282,501,501,282,454,501,503,502,548,800,502,503,500,503,500,281,504,503,655,502,649,649,649,502,629,503,16,503,282,800,502,501,282,502,60,22,502,430,500,502,503,800,503,442,649,25,649,360,503,282,649,502,649,649,800,502,800,503,282,158,503,500,500,282,502,501,282,500,290,649,5,132,282,503,502,649,501,649,502,16,501,501,800,649,800,503,800,997,649,502,503,763,745,800,649,800,503,493,500,503,502,501,800,503,649,503,501,873,502,501,501,502,503,502,282,800,282,282,282,530,800,501,800,503,103,500,500,800,501,503,107,501,502,501,502,282,502,503,938,500,649,282,500,103,800,649,503,649,296,39,500,501,282,503,355,500,501,800,500,649,503,503,500,501,503,440,770,800,500,649,501,502,626,800,800,500,162,503,502,503,649,500,800,649,951,305,500,504,359,800,800,501,156,500,500,501,502,800,649,504,500,800,502,500,800,504,503,899,502,800,800,500,501,503,501,649,649,503,800,800,503,788,503,800,502,649,800,16,502,500,649,500,107,638,503,821,502,649,503,502,800,649,503,500,654,807,649,501,649,502,503,649,502,500,500,282,280,852,501,501,800,503,282,500,502,800,282,503,39,502,503,800,16,991,501,352,649,800,800,800,500,326,500,16,504,502,501,16,502,502,649,503,501,501,502,807,503,502,500,503,649,500,649,800,502,311,500,500,501,282,649,638,644,500,500,282,502,16,607,786,501,800,501,503,503,500,502,800,501,500,503,107,649,100,282,502,500,501,503,502,800,800,807,503,562,168,503,500,167,967,500,800,500,503,502,282,503,800,500,16,503,501,649,649,649,502,800,695,282,502,282,501,800,500,800,282,5,501,500,800,16,500,500,500,588,502,649,500,649,500,501,649,807,500,800,501,16,501,649,16,649,502,16,800,500,502,503,502,5,16,649,503,502,649,503,500,500,777,587,800,502,503,500,649,649,649,897,502,503,500,500,492,720,649,501,282,112,503,502,769,500,585,501,649,503,501,800,282,503,722,783,503,501,500,282,203,16,501,503,16,503,800,503,500,501,649,504,503,500,696,500,649,800,501,997,649,282,503,649,501,500,282,503,500,501,500,849,649,502,607,16,36,649,82,502,649,289,503,282,502,800,501,536,649,500,658,501,649,503,649,502,282,800,800,34,814,800,500,649,500,503,501,501,282,501,800,61,502,500,501,612,100,800,501,502,966,501,282,501,282,501,584,282,317,282,501,800,705,503,501,649,503,500,503,500,800,500,502,282,500,503,440,503,502,503,107,501,6,649,501,503,501,683,282,649,500,502,649,990,158,800,500,800,500,905,500,500,501,649,503,500,500,282,503,503,649,503,649,649,501,800,500,800,501,800,649,323,503,503,501,649,500,800,800,504,502,500,501,502,800,116,16,649,800,503,107,503,502,800,781,649,282,490,503,500,649,649,504,800,60,800,500,320,649,800,649,101,800,16,300,500,502,282,503,500,800,282,384,500,649,649,503,800,503,502,282,502,502,800,649,502,503,500,500,501,800,503,800,500,500,425,503,502,502,282,717,500,502,502,502,282,503,501,649,502,503,578,502,500,16,504,649,501,753,500,800,282,800,282,501,336,501,502,503,501,502,501,800,501,800,500,649,649,501,800,282,49,501,120,800,500,649,16,800,16,500,502,649,107,800,16,503,649,518,501,800,503,501,282,501,502,502,888,501,501,800,800,649,503,500,501,502,500,681,502,502,649,705,502,503,502,197,800,181,282,649,649,800,649,503,503,231,503,503,501,16,502,639,282,502,107,800,503,503,500,502,16,800,500,501,503,503,357,503,503,16,501,503,180,500,500,500,847,501,800,649,86,501,836,282,800,501,194,501,500,858,502,502,503,800,800,649,282,500,502,504,649,800,282,800,500,539,501,800,800,501,502,500,502,502,500,501,649,501,272,500,502,500,502,800,800,501,503,500,800,298,501,282,503,649,800,503,503,500,502,649,501,282,16,502,800,500,500,500,503,649,500,282,829,500,500,518,37,503,595,282,502,501,649,502,501,577,649,649,649,502,649,282,800,718,500,649,282,503,649,500,282,501,503,947,882,282,649,800,501,503,649,144,282,502,800,800,366,800,649,503,649,800,503,503,649,282,501,503,282,502,282,332,734,501,501,682,282,502,502,502,502,649,800,800,800,502,501,282,800,800,16,503,503,503,335,800,503,649,503,454,282,501,649,500,500,500,649,800,800,649,502,800,649,501,500,501,602,800,107,501,800,851,501,500,500,503,503,500,504,649,282,501,368,103,502,500,282,501,501,502,499,501,649,503,649,649,500,649,282,500,800,649,282,504,503,503,649,16,800,502,500,500,502,501,500,502,500,501,502,501,649,501,500,502,500,649,133,503,699,910,282,800,649,800,501,502,282,649,403,800,501,800,107,502,500,503,501,322,501,502,282,500,500,649,649,501,800,501,504,800,16,282,501,504,282,500,503,751,758,491,500,500,800,19,503,821,502,282,649,503,501,800,649,503,800,295,501,649,502,501,800,250,252,502,800,649,800,503,16,500,503,501,865,501,502,500,501,649,538,800,649,800,501,9,500,501,501,502,503,282,500,800,3,800,503,16,649,800,501,649,502,285,649,649,503,257,501,282,765,16,500,649,800,800,107,500,282,500,800,800,500,800,501,503,567,503,649,649,500,265,503,503,673,800,500,501,501,800,649,705,503,500,16,282,16,500,800,807,501,649,649,502,649,500,675,500,68,500,503,503,800,649,282,500,500,501,484,800,500,649,504,800,500,500,649,649,700,502,503,503,282,503,98,800,504,649,345,800,417,649,649,502,500,94,649,800,500,649,501,503,500,800,800,685,649,502,502,501,800,501,282,649,503,282,503,282,649,502,16,649,500,500,282,800,712,500,501,502,785,502,649,520,503,501,882,996,705,500,501,16,501,502,502,500,649,502,649,282,649,649,255,800,462,52,447,800,555,500,282,800,500,922,503,501,807,800,622,16,502,649,503,502,800,373,649,800,952,500,649,649,502,800,503,997,503,503,501,501,412,649,501,690,649,800,800,315,500,649,282,501,501,649,500,16,107,38,502,282,282,502,500,503,502,800,196,800,282,800,501,800,501,282,500,503,502,503,503,501,800,855,800,800,500,649,649,204,503,503,649,800,282,500,649,502,600,500,282,500,500,800,16,16,800,500,282,508,34,503,500,427,800,500,502,501,800,800,501,500,16,503,503,500,503,500,503,500,820,502,500,124,49,502,800,503,503,649,282,800,955,501,503,500,282,501,500,649,503,537,502,500,282,649,662,501,500,649,502,501,502,502,800,16,771,649,800,197,501,500,500,500,16,500,649,500,800,503,800,471,282,800,895,500,501,987,500,649,649,800,500,500,500,500,800,500,800,501,503,649,500,503,282,500,649,501,8,82,500,503,503,503,649,800,217,16,282,874,282,800,800,501,503,503,282,800,70,500,800,500,501,649,282,503,246,103,502,649,500,649,500,900,296,800,889,691,800,501,501,705,282,649,649,649,729,795,282,153,16,503,502,649,649,503,649,504,649,501,649,800,282,310,501,800,501,502,649,501,626,501,502,116,503,800,938,502,502,198,649,500,266,649,800,502,800,502,502,501,800,500,500,282,504,502,502,503,800,502,502,504,500,800,649,467,503,503,500,16,282,649,407,502,500,502,649,503,500,500,500,649,649,649,500,883,503,501,107,748,501,800,800,503,503,282,502,501,649,502,649,107,71,502,502,501,649,282,501,16,540,501,881,502,501,800,501,502,100,500,501,502,800,282,800,501,503,501,504,16,353,649,501,500,501,500,503,649,649,282,500,800,800,502,60,649,800,257,282,501,501,998,503,800,500,503,649,503,501,683,501,500,107,501,501,834,800,503,502,500,500,649,502,501,492,503,282,800,649,312,502,800,16,282,649,502,501,501,107,500,500,502,503,16,502,282,16,502,107,187,282,502,16,800,649,908,503,16,16,501,649,800,500,282,501,502,800,16,500,706,503,649,636,501,503,800,503,502,501,649,500,502,775,282,500,504,503,649,501,282,994,800,502,383,501,649,500,502,282,282,502,502,502,649,501,500,486,649,500,501,649,503,643,22,501,800,649,501,100,501,800,502,501,500,282,800,995,502,16,502,503,282,503,503,649,500,503,502,394,500,870,48,800,282,503,500,500,501,649,501,502,16,503,502,502,174,800,500,502,503,151,502,282,500,282,649,503,899,800,649,502,503,800,504,501,912,502,501,500,501,649,503,501,500,697,502,649,500,500,502,775,503,800,502,800,16,500,26,501,503,16,649,501,207,500,800,718,649,649,503,282,937,800,800,800,284,16,649,501,565,800,503,649,501,107,604,800,800,649,502,649,373,500,282,282,500,501,800,502,887,503,649,800,502,502,500,501,502,649,502,500,503,16,649,649,548,503,504,343,502,963,649,500,501,282,502,282,501,501,731,500,282,503,502,800,649,800,503,503,501,500,503,500,502,16,649,800,282,703,503,282,500,504,649,282,800,800,282,800,800,800,16,503,501,649,800,800,800,800,500,661,503,503,500,800,503,503,500,503,500,649,800,503,503,800,800,107,503,167,282,649,503,800,500,13,268,503,282,800,502,931,649,800,800,500,503,649,500,501,501,800,800,502,649,500,503,800,503,503,500,502,502,502,501,500,500,502,503,501,800,500,649,503,502,501,800,649,649,535,502,502,800,500,500,501,500,897,759,800,55,649,503,844,196,800,800,282,649,503,501,800,282,502,503,800,321,705,649,500,649,501,503,800,503,502,502,503,502,500,800,501,502,501,500,503,503,501,503,649,649,916,503,500,800,502,502,503,503,800,800,649,649,282,800,800,649,649,642,649,800,500,649,501,501,213,501,107,500,800,502,282,500,649,282,504,800,282,649,502,800,501,800,632,976,502,800,84,500,649,500,649,503,800,503,649,888,900,501,405,282,502,503,501,716,503,502,502,649,503,649,501,503,800,800,16,501,502,423,503,500,282,502,500,649,502,501,500,500,501,649,282,501,800,800,501,407,800,742,800,502,501,501,502,921,503,500,282,502,800,649,800,800,504,502,800,502,16,800,229,632,501,649,503,800,800,501,500,503,649,502,649,764,500,282,649,502,503,800,502,649,800,649,282,568,503,500,800,501,502,800,503,649,500,649,800,800,649,500,137,500,649,500,800,649,501,503,500,632,502,282,503,800,504,800,103,503,500,502,500,500,800,667,500,503,649,503,800,439,503,501,500,16,503,844,87,503,503,16,649,649,649,800,502,649,502,254,649,960,282,649,502,502,171,844,501,503,16,501,16,503,502,800,501,609,502,501,501,502,800,501,502,504,503,502,282,500,103,501,649,800,800,282,249,16,649,128,282,16,503,649,503,501,649,800,800,800,649,503,500,282,649,500,500,800,502,704,502,649,282,282,503,649,649,282,501,800,501,301,800,503,501,440,503,649,503,649,503,800,500,500,16,501,500,501,501,502,501,503,800,501,800,649,800,501,740,501,504,503,502,501,800,500,800,501,649,548,503,800,649,800,586,500,502,800,502,501,649,500,500,103,809,16,504,502,800,464,282,501,58,282,282,800,503,500,503,846,649,649,800,503,502,800,502,500,502,282,501,501,16,282,800,503,503,504,500,500,501,649,115,503,500,649,501,282,649,103,503,800,500,84,503,500,502,500,282,557,502,555,503,649,800,502,502,677,502,503,43,500,503,203,100,504,16,501,800,755,16,282,649,501,107,502,287,282,649,501,502,282,504,800,502,800,107,502,800,649,503,503,502,649,502,503,501,649,503,649,624,848,501,16,501,503,503,503,649,500,800,502,503,800,282,649,503,16,500,282,649,500,502,501,601,107,503,16,501,629,649,679,649,649,501,267,501,503,503,649,649,504,500,107,800,503,649,800,500,16,500,501,649,800,480,649,767,504,649,503,678,502,503,107,501,502,501,500,649,800,503,841,501,203,501,502,501,282,503,800,502,502,503,282,107,649,649,503,649,504,429,800,500,502,500,501,501,800,649,800,16,502,502,800,504,478,649,577,503,502,649,501,503,500,502,282,503,503,500,800,16,800,107,503,502,800,500,503,737,230,501,282,500,500,500,503,502,503,503,800,800,501,500,641,16,800,501,502,649,500,503,282,800,999,649,501,282,500,282,501,500,662,649,649,503,344,500,800,649,282,502,503,652,502,500,503,243,501,282,649,500,649,282,103,500,19,500,500,503,502,464,504,503,800,103,531,649,649,649,501,501,649,800,501,649,800,503,503,107,649,502,649,503,500,103,800,16,503,318,501,649,800,16,503,476,500,954,502,16,282,500,16,649,649,800,502,501,434,502,649,500,500,16,282,282,800,500,649,503,500,500,649,502,185,649,501,500,16,649,822,500,500,501,16,649,500,416,800,500,501,282,649,501,503,649,800,292,501,500,502,501,226,800,649,500,800,501,503,800,800,800,16,649,500,108,649,500,16,800,401,800,501,500,501,503,562,800,800,503,503,503,649,649,282,500,501,500,103,649,502,800,800,503,649,649,501,649,800,503,500,800,503,282,502,619,800,500,502,502,175,800,500,107,500,502,502,800,501,649,501,649,800,502,800,649,502,500,800,282,501,502,800,501,649,502,527,282,504,419,392,800,501,503,500,649,500,800,500,502,677,763,649,282,16,800,503,16,503,282,959,649,745,649,649,282,501,977,649,502,500,223,500,500,503,282,649,503,649,500,504,502,649,503,501,501,503,500,503,501,800,501,800,503,800,503,501,800,500,501,677,800,355,503,918,502,500,500,504,742,16,649,501,501,649,500,502,331,110,649,503,16,649,502,649,385,3,501,503,502,800,649,501,84,800,503,557,502,649,16,424,282,649,952,500,501,496,940,500,503,502,800,811,503,16,42,501,500,500,649,582,308,500,501,502,978,503,500,374,649,500,212,501,649,502,16,800,503,103,168,800,282,649,649,503,649,500,649,800,501,503,502,800,2,500,647,490,500,649,16,800,934,526,282,502,171,800,503,500,282,500,649,37,53,800,503,503,503,522,800,649,103,649,16,503,649,455,501,282,16,502,501,649,501,800,282,502,566,503,649,649,503,501,800,16,500,502,500,501,500,800,504,649,503,121,649,705,502,503,502,800,501,950,16,500,16,503,502,12,800,807,800,501,501,503,501,649,503,800,503,503,649,800,502,503,800,503,800,503,594,800,502,502,800,501,649,501,503,501,500,921,503,501,16,878,800,500,11,912,503,501,503,502,310,500,102,649,504,410,649,501,649,649,503,50,501,800,103,997,501,800,880,500,649,800,649,800,107,501,282,500,50,800,500,502,501,501,649,501,501,800,649,800,500,800,501,503,800,504,800,502,502,503,500,500,519,503,503,649,501,503,503,500,500,256,282,501,500,500,502,503,850,503,501,501,800,169,502,649,502,504,501,501,500,535,649,502,500,282,502,500,209,831,649,501,500,501,501,502,800,502,16,899,649,500,800,500,501,502,502,649,649,16,800,501,503,503,501,649,503,504,503,502,666,594,649,649,649,504,502,800,696,501,925,503,649,503,649,16,502,501,649,664,500,887,500,502,500,800,502,503,573,649,800,500,800,281,501,649,503,501,500,800,383,282,81,502,649,649,649,649,503,502,500,33,16,500,501,500,501,223,502,800,501,504,16,685,502,500,800,475,282,500,503,503,103,501,103,503,500,282,16,502,800,503,218,175,800,800,500,800,504,16,800,501,504,503,800,282,501,800,500,503,503,503,163,502,649,503,930,502,500,501,501,500,503,96,800,504,282,502,649,500,502,501,501,282,503,649,502,734,800,649,16,501,649,500,503,917,503,501,16,501,503,747,800,649,502,502,800,500,503,649,16,800,500,107,649,503,800,501,800,16,649,503,719,502,503,502,502,500,800,800,649,800,969,500,16,715,800,78,800,649,500,503,649,800,800,649,16,800,649,502,611,649,649,649,900,501,800,500,500,502,649,503,502,504,500,282,501,501,76,504,503,500,800,503,500,501,604,107,649,649,502,649,503,649,800,649,501,416,800,503,500,800,502,503,282,649,15,649,502,282,503,618,502,649,800,282,501,501,502,2,705,501,649,502,502,472,500,800,502,649,503,649,502,800,500,649,954,503,800,800,500,800,503,800,502,800,282,282,503,501,107,501,402,800,800,649,500,282,800,671,800,501,504,501,502,503,649,501,649,282,800,500,502,55,500,501,501,649,500,649,503,502,500,503,649,649,649,800,502,502,282,503,501,501,800,500,502,500,649,695,807,503,649,501,622,282,500,649,502,649,504,282,649,800,501,501,500,800,500,282,649,649,16,502,502,800,106,800,503,649,282,503,800,170,649,800,502,826,503,503,649,800,788,649,500,999,503,800,503,503,800,500,501,649,502,800,641,16,162,910,503,282,501,800,649,501,501,500,649,501,800,503,504,800,16,649,500,794,500,500,649,649,500,501,649,500,502,500,502,501,500,502,501,16,942,500,227,501,934,504,500,800,282,649,649,698,502,649,649,502,500,500,502,649,800,649,16,800,282,800,649,500,503,500,502,503,502,502,649,649,936,501,511,502,503,16,649,800,500,500,503,500,282,822,16,649,649,344,502,501,501,107,649,747,25,501,800,649,503,282,501,503,502,893,501,649,649,503,649,649,16,649,282,501,225,800,649,503,32,502,500,386,501,282,394,282,501,107,501,500,16,500,800,649,800,218,501,502,800,282,860,282,500,16,800,502,502,503,502,800,232,649,282,503,11,503,649,502,500,16,502,854,502,652,800,500,800,800,502,800,800,800,501,205,501,249,649,503,649,501,800,501,501,501,282,649,501,502,800,500,500,107,800,649,503,282,500,501,502,503,800,780,500,800,800,800,800,500,282,982,504,649,501,16,501,527,502,500,501,918,503,103,329,282,500,800,500,649,16,16,501,502,501,501,500,500,393,503,107,800,503,501,800,649,649,503,282,800,500,861,500,502,244,503,800,502,649,323,282,500,649,800,649,503,503,649,502,501,800,800,503,502,282,649,500,500,649,504,649,282,800,502,800,502,500,503,502,649,590,800,503,502,502,649,649,500,649,149,500,679,405,245,103,501,501,503,16,282,503,282,500,800,503,500,649,772,502,502,502,649,501,868,501,503,501,282,649,501,925,501,649,649,500,503,310,503,503,800,613,780,649,800,649,500,500,282,80,503,800,282,649,800,649,16,502,649,800,800,503,503,501,500,649,107,501,503,800,500,502,501,649,501,504,501,501,649,502,800,16,800,282,649,500,503,500,501,641,649,501,501,107,800,501,500,502,16,501,500,649,800,282,800,500,500,500,100,500,114,62,282,649,705,807,649,502,501,501,86,649,649,502,800,649,112,800,649,503,16,501,258,500,800,502,464,503,649,501,800,501,502,503,848,649,16,500,800,800,501,649,16,502,282,503,501,119,502,502,503,649,502,502,503,16,503,649,503,501,503,501,649,502,479,800,502,503,800,502,502,800,800,471,503,500,800,282,501,503,503,503,649,649,16,737,502,289,552,500,502,501,649,800,800,500,649,324,649,502,500,800,502,891,502,800,649,503,500,103,500,500,800,16,503,800,500,290,503,800,503,16,649,949,502,282,800,678,502,649,107,649,282,649,502,649,501,500,501,649,504,800,649,649,649,502,501,919,504,500,213,800,502,503,500,501,649,800,502,501,282,500,503,500,500,800,503,649,649,500,500,113,500,649,282,90,649,500,800,502,910,687,610,500,103,500,800,649,282,500,932,503,500,800,500,800,164,671,649,486,474,46,67,800,16,649,500,282,503,503,649,649,501,800,148,649,503,800,503,501,503,649,500,800,16,501,800,501,500,800,503,800,501,204,649,633,501,500,282,649,500,107,503,502,800,649,16,800,379,500,141,500,503,814,969,503,500,800,500,649,16,502,503,282,501,107,107,504,356,500,649,503,502,537,501,501,701,503,502,501,800,649,7,282,649,502,501,274,107,287,800,800,502,282,649,501,503,107,800,500,800,501,503,16,502,502,502,501,503,800,649,501,503,501,282,268,500,282,481,532,501,500,500,655,503,502,649,502,800,107,502,503,501,800,503,800,501,501,501,800,649,501,503,16,282,282,800,649,503,282,585,16,282,624,15,500,282,832,500,501,502,526,649,572,192,502,503,248,16,282,501,503,458,503,501,210,503,856,545,503,503,479,502,649,503,502,503,800,503,800,503,649,949,649,502,282,504,282,649,282,800,501,649,649,74,282,649,956,500,503,503,100,16,282,80,16,502,502,107,862,800,107,504,500,503,739,197,649,649,316,501,500,523,800,800,649,649,500,503,282,800,107,501,501,500,800,501,649,649,503,649,800,649,503,503,501,800,16,784,16,649,16,16,537,800,649,503,800,705,500,501,282,705,649,503,282,503,16,500,502,649,503,503,502,501,500,657,649,282,500,649,649,502,16,800,501,800,800,800,107,800,502,878,501,282,503,16,501,800,800,503,282,809,476,649,282,500,16,502,221,649,22,502,502,500,63,501,800,717,688,501,282,502,502,502,800,503,649,503,649,533,504,502,502,502,800,500,500,649,501,503,16,500,503,800,501,502,500,504,502,504,500,649,282,503,500,500,500,500,649,210,502,282,282,939,500,500,800,649,961,800,503,282,282,502,502,500,282,800,502,502,500,502,500,500,504,282,469,500,800,551,503,74,649,500,502,503,502,800,501,500,201,649,500,282,649,511,107,649,503,501,503,583,107,800,500,502,503,16,503,650,501,502,975,43,306,502,649,500,502,501,800,282,282,800,800,649,501,800,800,282,553,502,504,501,500,500,800,503,671,800,107,649,800,649,16,503,503,501,522,503,503,503,501,501,316,16,502,500,502,501,503,649,501,649,800,62,501,500,800,501,838,500,500,418,800,107,282,503,503,649,282,649,107,649,503,503,503,611,503,500,501,107,800,926,501,823,649,501,502,800,503,503,16,649,649,16,306,500,282,437,800,800,850,16,944,502,649,649,303,800,684,504,649,649,649,800,501,500,501,500,503,475,502,500,107,502,501,282,501,501,800,282,500,800,501,800,500,800,500,649,504,649,503,502,503,320,16,16,649,800,502,521,501,504,500,503,649,649,800,500,16,497,800,475,500,800,396,503,503,500,502,500,503,282,329,649,649,365,282,500,649,464,502,180,503,800,282,800,282,503,800,800,649,501,107,93,503,800,501,501,500,800,107,500,501,322,16,503,649,501,331,800,800,500,649,282,502,753,501,649,500,500,502,649,502,500,502,500,800,502,282,282,503,503,282,501,690,502,839,503,503,501,649,501,504,649,500,800,649,649,800,501,800,502,501,502,649,503,800,282,500,501,501,500,800,16,282,502,500,503,649,500,752,503,501,501,282,649,500,282,762,583,9,502,507,502,502,504,502,502,502,800,500,502,501,944,649,502,502,107,800,504,282,503,282,501,501,501,282,500,501,502,502,296,500,503,501,16,649,503,502,744,503,800,503,800,649,649,500,500,500,502,628,800,500,16,282,378,800,500,649,800,500,800,282,502,500,649,501,641,500,649,823,503,800,503,501,917,502,502,433,503,282,500,501,649,501,649,503,800,649,503,11,623,501,502,503,502,502,502,282,502,501,204,503,503,503,800,649,501,649,500,282,502,800,500,800,800,501,649,800,649,500,503,500,503,502,394,502,502,800,282,500,282,656,800,500,502,800,16,502,800,502,501,501,501,800,800,107,649,398,800,503,501,501,500,649,649,500,649,502,16,649,502,389,800,503,800,16,649,503,500,502,649,500,282,500,649,503,500,501,282,500,187,502,503,902,832,800,649,428,501,800,463,501,649,500,924,649,563,500,528,503,502,567,501,501,500,800,103,800,800,649,282,800,649,800,649,649,502,500,500,243,500,16,503,502,649,501,503,503,649,503,500,500,227,649,503,502,649,649,500,501,503,503,753,649,16,501,800,16,649,503,649,500,501,501,282,501,905,500,16,503,503,501,501,502,929,312,800,800,500,975,622,503,800,501,502,503,503,447,649,501,282,649,503,501,679,16,501,503,800,501,649,501,501,800,503,319,504,501,435,649,500,929,503,502,503,16,649,800,503,500,649,500,282,503,649,800,883,500,363,800,503,16,282,107,500,237,118,502,503,500,209,500,649,503,34,500,800,501,503,649,500,500,503,502,502,904,502,503,502,800,502,800,16,503,649,502,800,649,501,502,501,800,649,501,709,501,500,649,503,500,502,500,501,800,649,503,502,649,501,502,282,500,649,501,500,502,800,649,800,500,502,649,503,502,500,800,502,512,282,502,744,501,649,800,800,164,503,800,800,16,800,502,282,649,501,501,502,501,502,501,500,282,800,282,502,649,501,502,501,503,502,634,503,16,501,503,503,649,500,504,501,800,282,500,500,103,800,800,502,502,16,282,10,733,800,500,500,500,800,649,502,502,500,416,800,502,282,502,501,934,649,220,817,649,170,538,503,503,500,649,502,282,649,107,500,800,503,501,282,503,800,16,500,503,502,415,500,170,282,800,500,501,502,500,908,649,760,500,216,649,503,500,649,800,502,100,939,800,649,649,502,649,16,649,503,846,286,503,500,501,502,649,800,502,282,503,800,800,800,443,502,500,282,503,500,745,800,501,649,260,500,501,649,282,502,500,282,502,501,63,501,282,503,925,800,503,503,16,503,800,502,800,649,16,282,802,891,502,344,800,705,716,600,671,282,500,500,503,502,500,501,502,502,16,501,97,143,500,500,501,503,500,825,187,282,501,501,620,501,282,282,426,503,501,649,16,501,771,649,501,502,500,503,282,500,282,16,503,282,800,500,770,501,500,501,649,800,800,504,649,500,503,16,502,800,501,501,800,521,503,500,501,501,500,503,523,500,282,502,629,500,649,503,501,501,800,800,334,500,501,500,503,502,503,649,500,501,239,501,500,16,800,649,282,649,414,16,649,800,501,501,503,282,501,502,502,649,502,16,501,16,502,649,282,800,501,649,800,503,800,500,500,655,5,800,649,503,705,504,500,800,501,500,502,500,502,501,501,800,501,503,503,485,503,100,16,649,502,800,800,800,503,282,799,501,649,500,503,747,800,501,504,800,500,503,500,503,502,503,697,503,502,502,800,649,501,500,16,500,800,649,649,482,500,503,467,214,800,503,500,502,800,501,800,264,282,503,501,503,501,73,649,149,282,649,503,869,16,503,501,501,930,49,503,109,282,503,500,103,501,16,502,501,500,103,501,800,500,501,800,16,649,503,503,501,800,502,286,502,16,501,649,503,503,502,502,649,501,897,800,800,444,649,16,324,800,502,500,719,597,103,700,649,503,333,503,501,16,502,800,502,500,502,800,649,757,649,649,501,502,504,439,290,503,107,278,500,500,500,500,800,7,278,503,502,501,800,705,649,253,800,649,503,282,649,915,592,800,503,503,500,649,649,503,800,501,183,16,222,649,766,394,500,502,649,16,800,279,502,649,649,502,501,282,703,16,148,503,502,800,33,282,501,502,966,800,16,503,649,649,503,800,502,282,683,502,800,51,500,502,504,800,503,448,16,500,501,559,649,107,500,800,502,503,649,800,282,503,854,502,800,649,649,673,689,501,114,500,500,107,282,503,649,880,800,525,282,2,503,107,795,502,258,800,800,649,503,501,800,649,154,800,503,500,800,501,500,209,503,107,800,500,501,800,500,501,800,501,649,800,501,282,649,649,649,502,503,502,649,501,800,502,501,504,282,502,649,500,501,501,800,501,502,500,16,503,800,800,16,500,501,649,800,503,501,502,282,500,336,649,503,500,282,500,169,18,501,503,282,501,502,503,503,649,503,800,282,800,728,630,503,502,34,649,502,502,501,800,500,800,500,649,561,502,500,649,649,501,501,502,500,649,800,649,800,503,306,649,557,500,502,501,502,800,800,501,500,800,53,649,503,502,502,503,649,501,501,800,501,500,282,502,503,500,501,501,800,502,502,191,649,16,500,500,649,282,800,282,282,800,649,800,800,800,500,510,501,800,500,503,500,501,649,282,16,649,800,503,502,501,502,800,649,501,649,278,282,504,800,501,107,323,502,800,503,500,503,503,500,500,500,282,649,502,501,502,500,921,500,659,649,878,800,502,500,800,649,500,649,294,502,16,501,500,503,502,502,501,503,503,282,501,16,503,649,503,500,502,800,500,800,705,705,16,649,500,503,500,649,501,800,501,649,500,501,501,501,800,500,649,503,282,501,16,282,649,501,800,503,800,282,800,500,502,410,503,16,383,502,649,502,649,492,107,500,485,800,960,282,451,502,503,503,501,503,502,501,500,501,503,649,649,417,501,119,501,800,501,649,331,501,654,503,501,500,233,501,678,800,502,800,503,502,501,502,504,800,503,500,800,500,282,502,599,501,800,800,502,649,502,501,649,501,649,103,800,282,800,800,502,504,800,580,800,16,500,500,106,501,500,500,800,800,500,501,501,800,800,502,395,503,800,502,501,484,800,500,501,282,502,800,504,649,285,501,649,502,500,501,669,503,649,649,500,800,327,502,501,502,649,882,503,282,500,282,918,502,638,503,503,504,54,800,206,649,500,649,16,503,649,649,502,282,16,380,575,502,503,501,282,502,500,225,500,503,16,501,649,502,503,800,282,503,30,502,503,649,500,16,649,16,22,946,649,501,649,800,500,504,501,500,336,282,800,482,501,503,103,503,502,501,501,500,649,800,500,501,800,800,504,501,800,800,500,500,282,800,666,649,282,500,500,501,500,103,502,500,501,64,503,800,502,503,408,282,503,501,107,502,649,800,187,649,503,649,501,800,800,649,503,649,800,649,649,502,503,649,501,649,502,800,501,500,500,503,98,501,16,503,247,500,16,501,781,503,501,800,502,502,500,503,501,649,500,282,501,501,500,800,501,503,649,477,504,649,500,800,935,16,501,501,649,503,502,642,503,910,500,503,501,500,548,502,822,282,800,649,503,649,503,649,329,502,649,501,500,501,501,800,500,500,800,501,800,501,800,800,503,501,800,500,649,500,500,501,501,425,503,503,800,649,500,800,504,502,503,502,16,500,282,501,649,502,649,649,415,800,800,417,501,800,504,503,649,800,501,501,500,800,649,502,800,800,502,501,649,501,500,785,502,501,502,282,91,502,649,500,502,502,800,501,16,830,501,282,649,502,800,501,501,503,708,103,800,503,502,649,502,502,500,800,503,502,800,16,282,503,118,16,800,503,502,502,438,800,800,503,800,501,500,649,503,500,800,502,500,282,420,282,502,649,282,800,649,800,500,649,501,504,501,649,502,502,800,649,85,649,10,882,696,16,183,501,650,800,649,502,501,504,130,502,502,500,107,800,500,502,503,503,501,282,761,501,800,282,649,501,501,503,500,501,501,892,501,502,503,649,800,800,501,503,649,503,649,502,501,500,649,800,800,501,649,502,500,800,462,649,502,500,649,503,502,500,103,800,503,501,504,649,502,503,649,649,500,503,500,16,800,649,800,503,159,500,800,482,503,502,500,733,502,679,503,282,500,500,500,649,800,282,204,16,800,502,649,649,800,800,503,502,502,503,282,817,501,184,501,649,502,503,649,501,988,282,800,500,502,660,501,800,503,4,503,649,500,502,502,502,57,800,503,503,649,410,500,16,502,501,800,502,501,800,107,649,243,501,649,958,649,503,649,503,500,502,316,500,501,800,341,500,500,503,16,800,500,282,501,500,16,501,503,503,193,321,501,503,503,800,649,103,800,503,501,503,800,500,500,503,282,502,282,649,96,503,503,993,500,282,349,503,800,502,503,500,500,500,501,441,656,501,282,16,934,649,800,800,800,649,501,502,500,282,649,282,838,649,649,503,800,800,501,38,502,503,502,649,504,502,948,951,503,649,503,500,16,501,282,500,465,502,604,649,16,800,503,649,501,282,503,649,503,649,442,649,502,501,501,649,800,106,649,800,502,500,500,500,800,282,500,500,800,502,502,502,282,739,502,421,500,503,282,501,282,649,502,500,800,649,501,503,267,503,500,502,574,649,501,282,502,45,800,502,503,501,800,282,501,502,437,500,16,649,505,190,502,572,330,800,502,500,609,649,503,16,504,500,649,657,649,500,501,418,503,503,504,282,502,16,502,7,282,800,282,503,500,502,500,282,503,501,784,890,227,203,501,590,501,503,502,649,504,649,405,16,649,649,649,503,503,501,800,503,502,501,500,800,503,501,501,649,502,502,502,502,503,500,500,392,649,501,16,905,800,642,649,649,16,538,16,502,503,503,800,501,649,649,16,502,501,16,504,501,501,16,649,502,502,503,80,956,501,800,501,501,502,503,580,500,800,501,155,800,357,525,501,980,500,800,503,502,503,649,800,649,282,503,501,500,502,197,609,500,501,649,502,503,282,501,438,649,501,107,501,282,502,800,211,800,768,502,503,800,649,526,982,501,500,16,107,502,64,502,501,503,649,649,501,500,282,800,649,500,800,500,502,800,282,503,504,545,649,500,800,990,282,503,807,329,800,501,501,500,501,503,16,356,501,847,800,323,800,800,282,503,501,649,649,500,503,800,649,502,503,467,800,16,800,501,501,800,800,503,282,502,500,503,503,501,501,502,800,282,504,649,649,500,501,16,649,500,800,981,800,503,501,502,107,800,282,800,500,978,501,800,800,500,502,696,537,107,271,500,649,502,282,282,502,253,500,282,800,649,649,501,500,501,501,649,333,282,510,800,503,503,282,500,502,502,502,501,503,800,513,800,800,503,503,501,501,500,500,401,649,502,402,649,500,501,500,501,503,649,649,501,501,800,282,800,649,416,504,503,502,393,814,503,433,282,502,282,503,500,502,500,103,649,649,503,503,500,649,649,500,282,16,501,282,315,503,800,649,490,503,501,800,649,16,649,282,502,501,649,502,649,800,501,502,500,503,501,800,800,503,800,502,502,502,794,502,282,760,282,800,501,649,502,501,503,784,502,649,503,503,502,16,502,705,555,503,501,649,358,500,282,502,16,649,503,800,848,800,282,502,500,500,316,502,291,649,712,649,800,500,547,282,501,502,501,29,501,503,563,107,800,910,503,500,501,649,501,282,503,16,502,649,502,502,800,501,501,500,800,501,501,500,501,503,501,502,501,504,500,800,501,709,503,649,502,500,501,500,800,503,502,500,502,502,800,800,500,502,500,536,529,16,502,878,501,500,16,482,500,103,649,649,800,857,500,800,282,500,800,502,761,649,500,502,503,922,503,502,502,503,282,501,800,500,686,649,501,500,503,282,501,503,503,800,500,500,501,282,501,649,59,800,502,905,500,66,649,500,503,503,500,503,649,500,487,800,800,503,503,500,649,800,800,219,282,649,649,744,502,502,501,800,800,500,808,800,282,282,800,649,500,502,502,502,502,16,649,501,929,503,501,720,500,649,800,502,500,500,644,501,500,649,500,502,649,157,503,503,500,649,800,500,501,649,502,502,500,649,501,49,501,501,800,649,282,800,503,649,500,501,800,649,939,500,501,241,501,16,500,800,649,501,282,800,479,500,282,800,800,800,520,649,800,501,178,282,800,500,16,800,500,500,16,649,800,100,552,800,282,282,16,501,502,502,800,978,500,502,800,859,501,503,791,502,501,503,502,503,500,501,500,500,501,501,800,504,502,800,282,649,282,649,503,7,800,649,500,501,502,501,649,800,649,501,503,500,656,501,800,649,503,649,348,500,501,649,567,502,649,501,500,500,649,282,649,501,501,502,503,800,800,800,501,501,800,800,503,503,107,500,282,503,649,649,358,16,501,649,800,385,502,502,501,719,800,649,649,502,501,16,500,282,503,502,502,500,503,107,503,564,746,615,501,705,16,501,500,503,502,501,502,500,282,503,850,16,282,242,501,206,503,503,504,503,136,502,502,282,282,500,503,976,502,501,501,112,649,103,501,502,500,282,649,503,502,503,501,16,501,501,631,503,800,502,503,503,649,800,945,502,502,501,276,501,501,502,501,649,873,282,502,649,800,245,501,649,800,503,501,501,649,644,649,502,800,16,504,800,16,800,500,500,16,503,500,504,503,649,502,500,16,282,901,649,502,502,649,649,503,16,199,282,282,500,282,500,303,502,370,254,800,800,649,649,500,503,282,826,16,501,503,500,503,503,800,15,502,501,500,726,503,649,502,649,649,500,649,282,649,349,502,649,815,800,649,282,500,168,501,503,16,500,502,502,489,504,502,793,696,503,282,502,649,502,502,502,800,649,800,649,282,501,16,923,502,504,282,503,16,282,84,718,501,649,800,500,500,649,500,800,500,649,800,500,800,649,282,16,16,103,800,503,502,282,800,502,500,503,282,282,128,503,500,649,282,501,500,500,500,502,502,501,503,502,193,800,303,502,649,500,503,649,767,335,391,748,501,502,502,502,502,282,502,504,649,932,649,16,502,502,800,474,649,649,649,649,503,501,500,503,500,501,649,110,800,500,500,649,357,153,282,800,422,500,502,16,800,649,503,500,503,501,502,16,502,500,502,746,800,800,864,800,336,649,501,800,282,649,800,800,16,800,649,500,282,282,503,663,503,107,340,649,800,649,107,914,649,123,503,16,800,501,282,503,800,326,800,582,649,312,503,800,800,800,282,649,16,649,502,501,282,364,503,800,282,503,501,282,502,498,501,282,713,282,16,501,800,66,649,500,800,502,705,297,649,649,282,649,800,649,649,501,800,16,503,800,800,907,503,649,502,501,468,45,504,500,282,119,677,500,502,501,500,800,800,705,501,502,503,649,501,800,502,500,25,501,800,649,503,500,649,103,501,649,560,503,500,807,503,545,500,500,103,800,16,881,500,503,649,161,502,649,503,502,800,75,16,503,282,150,282,502,800,500,501,787,502,800,504,503,502,500,502,649,504,800,800,503,502,482,800,282,649,97,501,502,649,649,503,503,800,649,502,502,503,110,800,500,503,800,504,503,500,311,503,501,501,500,800,800,501,800,800,503,16,649,800,649,501,649,500,503,783,640,502,503,554,715,502,649,503,807,502,24,500,502,502,800,501,282,649,500,504,306,282,769,500,649,16,800,501,16,501,800,502,500,800,501,500,501,902,501,800,644,504,503,135,501,504,502,504,501,502,649,501,500,502,504,501,649,501,170,503,800,500,282,500,800,501,503,504,502,16,16,958,500,398,649,282,501,503,282,107,503,501,800,282,961,16,502,649,311,649,649,502,503,500,282,800,107,649,649,16,800,502,741,282,282,503,502,282,503,649,800,503,282,502,503,503,503,501,572,504,502,242,649,16,503,504,199,800,649,500,501,282,16,502,503,800,800,32,800,282,183,502,649,502,649,800,500,282,292,501,636,282,649,503,501,503,503,649,502,800,754,103,794,705,500,800,500,282,503,649,16,502,502,649,501,649,48,500,800,649,143,502,778,282,503,800,501,107,500,508,706,503,569,649,800,800,502,503,800,501,165,800,502,649,503,649,800,502,800,282,800,500,502,800,286,500,282,615,57,501,649,502,501,501,502,502,502,800,501,503,649,489,649,649,800,500,271,503,502,501,502,16,500,649,800,282,649,282,500,503,800,649,800,501,282,503,282,504,502,800,500,503,618,500,502,64,501,503,502,800,502,502,427,500,186,445,201,501,501,502,503,500,282,503,16,262,649,800,502,93,501,501,282,500,705,800,503,500,16,649,501,649,501,649,800,501,500,800,649,649,501,649,800,503,500,501,501,500,638,502,575,649,503,500,500,16,25,649,501,282,800,502,500,282,503,282,16,649,500,501,800,503,586,503,649,800,943,649,16,473,501,800,800,429,282,800,500,649,502,282,502,800,503,500,649,282,501,502,503,649,16,282,16,501,500,261,503,800,800,649,500,502,503,500,502,503,649,501,503,800,500,503,500,800,502,800,800,768,503,503,282,282,649,16,16,649,501,649,500,501,649,649,503,649,501,501,16,800,649,649,501,500,649,503,704,500,502,500,503,503,502,414,282,502,900,503,501,282,649,500,500,549,503,500,282,503,501,501,16,158,500,500,282,503,282,501,282,16,800,100,992,500,282,649,502,16,501,503,180,649,282,649,503,800,800,800,502,16,415,282,503,800,800,649,800,649,282,800,502,16,649,479,378,502,800,800,800,500,107,504,500,649,500,501,800,503,501,255,282,503,772,500,500,509,800,501,501,27,649,800,502,503,800,975,282,800,649,244,501,500,500,649,501,501,503,503,649,649,649,800,282,800,500,503,282,503,502,282,800,800,16,503,800,501,500,503,503,504,299,649,649,503,800,800,649,502,502,502,503,566,800,649,282,25,121,800,282,800,503,649,500,246,502,500,502,624,502,800,503,500,500,502,503,500,282,500,448,501,502,16,282,500,719,501,503,16,501,502,800,800,288,141,649,649,502,587,832,800,800,800,501,502,503,503,503,649,502,800,500,502,800,501,502,500,501,282,501,503,502,19,502,649,800,649,16,16,502,649,282,500,500,500,500,613,388,318,800,800,282,503,502,649,500,910,500,500,502,784,800,800,500,331,503,503,282,501,800,502,261,649,800,147,800,649,503,780,800,501,502,16,500,631,16,501,501,649,821,502,503,501,500,46,800,500,502,800,832,502,502,649,649,502,504,649,500,500,649,502,501,503,503,800,107,503,649,800,282,501,502,501,800,45,282,502,49,501,502,500,503,500,716,936,500,502,107,649,503,649,282,500,501,500,800,649,503,974,500,501,649,503,501,502,501,800,502,649,501,282,501,502,800,649,501,282,818,649,800,501,282,800,649,502,504,502,500,282,503,644,962,282,503,502,800,649,503,16,800,16,800,500,800,501,502,503,502,712,649,939,16,800,500,211,840,502,16,501,649,291,500,503,500,800,649,16,500,649,800,282,282,848,649,800,500,282,649,503,501,649,501,259,501,503,503,502,649,502,513,800,503,353,502,502,503,503,835,502,500,501,282,800,800,800,649,679,649,825,501,282,503,16,503,502,649,777,503,500,800,502,500,500,649,503,800,500,282,649,503,282,503,500,503,500,501,649,500,504,501,649,500,501,800,501,501,503,107,500,649,500,501,66,649,501,800,500,16,503,503,854,800,501,107,649,649,649,16,800,649,16,503,500,500,502,85,800,502,842,649,475,503,500,503,500,282,500,16,500,282,500,107,415,800,380,501,649,282,503,649,649,329,649,800,800,242,800,740,500,501,504,800,800,800,503,503,778,549,501,501,502,501,501,500,501,649,501,503,282,501,500,502,501,304,501,501,503,649,503,800,503,649,16,251,649,800,501,502,800,649,975,500,500,282,502,800,16,500,503,501,501,282,517,16,503,649,500,504,502,282,16,800,502,781,123,503,649,500,800,670,282,500,500,503,502,649,16,282,502,351,16,502,503,501,649,503,649,82,800,500,502,800,502,502,282,813,500,501,877,106,800,501,282,800,504,649,502,503,123,503,503,392,649,282,503,372,335,500,649,649,649,503,502,500,282,501,501,649,408,649,16,503,500,649,503,500,273,504,502,282,501,501,501,282,118,500,500,502,800,501,503,501,107,500,500,421,324,800,649,503,500,649,501,502,502,282,501,800,501,503,649,282,501,800,800,503,502,103,282,501,502,503,503,504,649,282,502,502,500,649,501,503,434,501,800,501,502,800,501,501,800,501,649,800,649,501,504,502,800,800,16,500,502,649,668,800,649,500,800,500,16,16,800,501,501,729,501,501,500,502,504,501,57,800,501,800,800,649,502,800,216,649,807,501,649,501,800,503,502,501,502,649,800,649,649,800,502,649,503,16,16,501,500,500,501,282,800,501,800,503,501,500,502,501,564,649,360,504,503,501,502,649,800,502,502,649,501,282,502,501,503,800,578,503,482,504,87,282,502,504,649,800,153,501,502,502,501,500,503,501,953,388,649,501,800,503,649,439,12,500,509,800,503,500,649,800,502,282,502,16,502,502,649,103,786,500,501,352,500,502,649,800,500,501,249,503,502,501,103,800,229,103,649,649,503,501,16,502,800,16,503,503,500,503,804,500,800,501,501,649,649,503,800,503,212,500,501,500,282,649,800,800,503,502,649,800,282,282,800,835,649,500,500,502,501,649,981,503,501,502,649,282,501,734,500,503,800,282,466,500,500,503,16,501,800,800,107,502,282,503,500,502,502,503,503,503,502,800,503,503,57,502,103,5,16,501,501,16,504,501,282,503,16,502,504,649,503,800,16,500,500,531,800,800,501,415,502,503,800,501,800,459,282,282,800,502,107,855,500,502,761,649,500,800,793,649,800,500,84,649,503,502,502,800,502,502,500,800,800,501,16,501,502,560,282,504,649,502,16,502,649,649,500,649,503,500,282,500,502,800,800,500,502,502,503,502,500,501,282,649,500,502,501,502,502,502,16,500,649,502,502,503,502,649,503,800,502,503,800,649,800,500,503,649,649,649,730,800,282,649,649,614,649,800,500,282,500,800,500,502,501,502,800,478,649,500,166,107,718,502,800,282,800,503,502,649,649,503,800,800,800,500,501,502,503,649,649,501,771,649,193,649,800,501,800,503,649,800,502,649,107,500,282,502,503,649,800,500,500,800,649,282,976,16,649,800,502,282,649,800,649,800,502,16,282,960,800,800,649,502,800,800,107,649,503,649,503,270,800,521,800,503,501,502,800,800,500,501,501,649,502,501,667,501,1000,503,502,501,649,800,504,500,502,282,649,500,649,502,504,649,500,504,503,199,800,649,503,503,502,642,504,500,800,500,800,60,502,649,23,501,800,43,503,502,501,653,282,503,502,649,282,873,500,16,503,649,500,16,649,500,503,649,503,503,500,800,500,649,649,800,800,500,500,649,282,649,503,502,501,649,501,15,501,502,282,800,502,500,501,501,57,502,800,740,649,800,800,36,501,800,16,500,500,502,503,649,503,504,501,500,500,649,908,705,282,501,575,500,502,504,344,6,800,895,649,502,649,504,128,264,800,107,16,607,503,282,501,504,502,822,649,997,502,800,649,503,501,500,261,307,282,649,502,502,800,282,282,800,649,282,502,649,800,503,501,107,503,500,501,649,649,503,500,504,800,500,501,836,503,800,503,502,800,649,501,800,800,501,107,649,649,800,500,195,501,501,502,549,282,649,503,800,282,503,501,800,800,500,282,500,503,502,751,502,501,501,500,649,649,753,501,504,500,502,503,347,503,649,800,282,503,294,500,504,501,800,649,16,649,500,504,384,500,500,501,69,452,772,649,16,500,649,501,16,502,503,503,501,502,503,16,649,502,92,502,500,500,800,500,184,800,16,649,16,502,500,16,800,649,394,859,649,800,500,282,502,873,502,800,500,800,503,500,500,502,503,800,316,501,143,501,572,800,800,309,649,502,501,263,500,500,503,800,501,501,502,649,500,500,378,500,502,282,503,649,800,503,800,649,500,302,921,501,649,500,502,560,500,16,282,282,500,649,501,501,704,503,503,282,502,649,282,500,501,500,282,524,649,501,503,800,502,501,221,800,649,500,501,292,501,502,500,38,501,500,282,503,800,500,501,649,755,500,503,502,503,16,502,649,502,500,503,504,282,500,500,503,502,800,500,282,800,502,649,800,649,800,502,800,159,678,800,501,501,501,649,501,282,282,503,800,649,502,944,502,649,502,503,502,502,508,501,626,649,500,503,503,649,502,16,103,501,649,282,649,500,502,501,501,800,501,181,578,800,503,501,649,123,267,649,503,943,338,502,16,502,282,800,649,282,503,500,501,409,821,500,501,800,503,649,504,905,503,503,502,503,800,502,800,226,502,282,107,500,800,502,881,500,800,649,282,502,800,396,502,501,800,800,503,500,500,846,800,502,501,503,800,800,16,668,649,800,503,282,501,503,503,800,282,503,503,800,649,107,501,503,928,500,500,500,800,501,504,800,503,800,482,500,649,107,282,503,649,503,649,649,800,649,502,503,501,649,16,282,715,649,800,800,503,500,502,500,500,367,649,502,502,504,307,164,800,503,325,503,282,502,800,503,282,503,649,500,649,501,138,500,503,800,497,282,500,501,282,502,502,503,649,502,107,282,662,649,800,502,59,16,649,502,502,501,500,849,500,800,500,503,503,500,500,282,501,501,800,502,301,500,649,9,503,339,649,502,800,500,501,800,103,502,503,649,16,649,800,502,800,800,501,501,800,649,502,502,502,282,502,500,649,800,800,500,649,649,500,649,500,500,503,282,500,885,500,553,500,503,282,800,502,795,503,649,503,503,153,503,502,427,504,500,658,502,502,800,107,800,503,800,500,503,502,502,500,502,501,55,502,502,649,501,16,502,502,503,502,503,503,649,332,649,501,538,502,16,502,500,501,800,649,502,282,649,649,136,502,502,262,501,503,503,305,500,500,500,501,501,503,502,503,424,504,633,800,16,501,726,16,649,649,502,649,731,800,503,436,502,800,501,501,649,649,282,649,649,503,800,282,501,503,500,500,502,502,649,103,501,501,500,800,649,500,307,500,501,649,500,501,649,502,503,501,503,501,282,282,649,502,503,501,304,792,502,503,708,128,502,502,503,832,503,309,501,500,649,501,503,282,800,742,282,500,501,502,500,649,649,502,502,800,282,800,500,502,504,502,649,800,535,649,503,501,502,649,16,500,16,501,40,282,649,502,800,800,884,500,501,503,282,16,800,279,500,282,501,282,800,501,502,504,502,402,800,649,500,503,800,503,502,649,501,500,502,501,503,500,282,800,800,500,800,800,711,762,649,107,501,503,649,800,282,800,501,502,504,500,503,800,504,800,502,800,649,649,501,503,503,500,503,503,649,501,800,500,800,604,800,501,282,502,340,502,500,500,639,128,500,501,502,448,604,16,282,503,872,503,501,800,649,649,500,500,503,501,501,649,502,282,500,282,778,501,800,800,649,397,503,501,502,501,800,800,649,501,649,503,503,595,107,501,500,502,16,608,256,501,103,501,501,502,371,649,649,800,16,501,503,500,500,800,500,500,800,503,649,649,502,16,319,501,890,502,649,503,500,433,503,502,649,503,294,604,282,500,501,800,500,800,503,501,502,500,800,501,501,649,503,500,77,502,501,649,800,501,313,282,800,500,282,800,500,649,502,185,500,501,268,649,389,501,57,649,71,365,501,501,501,500,502,502,416,800,800,649,459,282,501,502,500,649,16,800,282,500,107,501,503,501,800,16,649,500,501,500,503,502,649,500,501,282,501,504,503,800,500,649,800,501,504,649,503,34,705,503,485,503,800,16,501,282,282,800,800,800,503,502,500,409,502,502,501,215,16,649,501,500,349,480,501,649,281,501,502,503,501,282,800,502,501,502,502,649,500,282,501,486,800,282,502,800,649,649,503,649,501,649,501,649,777,502,800,649,649,503,800,800,502,605,500,500,800,800,243,649,649,800,503,500,500,503,504,501,502,500,649,502,500,501,500,800,474,501,800,500,502,500,649,282,501,503,502,502,502,282,501,846,441,91,800,800,868,503,501,800,503,649,103,501,501,502,282,500,500,500,502,502,800,649,649,502,253,649,649,839,874,501,282,282,795,503,502,461,501,501,421,802,535,503,750,282,18,503,501,649,649,282,503,502,800,633,502,794,282,800,365,500,510,501,503,503,180,649,504,503,501,503,516,502,649,649,502,502,800,501,500,503,535,649,649,501,800,800,504,502,312,282,500,626,500,649,800,78,502,503,800,504,16,800,500,649,503,503,503,500,502,503,502,503,501,503,502,649,503,503,503,282,503,502,649,282,501,502,7,500,103,800,503,282,649,500,649,503,282,501,502,500,16,800,94,501,500,503,800,800,502,649,800,501,500,16,501,501,503,342,800,501,800,829,502,503,649,800,800,501,649,800,282,282,500,16,16,81,649,16,502,800,319,500,16,502,649,501,800,500,782,500,501,500,502,800,800,501,649,502,502,501,500,500,800,282,800,500,107,800,282,282,502,649,98,649,800,500,502,503,66,500,503,163,800,500,502,503,500,336,500,282,741,504,503,925,502,502,500,800,503,649,503,502,503,503,501,503,501,878,500,500,500,501,649,107,500,500,649,501,502,649,503,541,500,800,502,503,500,503,649,502,503,282,31,649,503,503,501,649,503,503,649,283,502,500,501,649,433,649,649,502,282,649,282,419,503,649,800,905,501,501,649,500,282,16,501,502,502,501,502,800,904,501,723,500,649,649,282,502,501,736,500,501,501,800,282,649,282,501,697,503,501,501,501,800,501,502,800,501,500,501,502,657,501,649,502,56,800,649,503,649,864,649,500,502,503,503,403,503,649,503,502,503,500,341,501,282,501,503,500,282,649,501,500,955,502,503,660,501,800,504,107,800,502,282,649,282,502,800,424,649,800,502,501,649,396,649,503,649,649,501,956,282,459,800,501,500,223,500,649,501,800,800,502,501,502,649,649,503,501,649,800,503,800,500,282,107,504,103,60,502,501,504,781,649,516,503,500,503,503,800,503,503,649,500,800,800,502,16,502,282,503,502,503,196,500,500,500,502,503,500,500,800,282,502,800,800,859,53,501,649,503,800,504,282,500,503,502,649,649,649,800,503,500,500,502,503,500,649,107,503,501,282,566,500,751,282,500,282,282,459,282,997,649,649,787,503,649,221,15,649,503,807,16,649,800,500,503,500,107,649,282,500,501,502,649,649,502,502,800,501,503,649,503,430,800,501,282,282,649,500,845,649,800,800,177,649,500,800,501,501,500,503,502,503,282,282,649,282,800,501,800,649,502,649,282,800,503,800,800,649,503,16,16,649,501,501,503,103,649,800,501,502,500,649,500,501,502,649,502,450,500,282,500,855,649,800,686,255,800,502,945,312,500,503,501,282,503,503,500,800,649,502,16,649,649,502,649,502,502,500,649,503,649,503,649,501,85,500,501,645,500,502,649,502,649,581,501,501,500,37,649,649,649,282,502,103,649,501,501,16,257,800,649,282,502,503,649,501,997,500,500,649,219,500,503,242,500,502,800,103,107,503,649,649,800,501,800,503,16,501,800,282,502,282,649,800,501,667,649,879,500,649,317,800,503,502,504,500,793,501,501,504,282,500,444,502,503,282,502,282,852,850,282,502,500,649,649,649,649,133,501,500,502,503,522,800,800,649,500,370,800,282,800,800,649,649,502,800,800,500,649,823,502,649,503,502,835,501,282,500,503,282,383,500,282,502,649,649,800,282,649,503,809,501,800,501,649,649,800,649,500,501,226,503,503,282,800,500,760,282,501,682,282,501,649,800,500,503,500,502,501,501,501,502,800,501,502,104,649,501,503,16,504,501,503,502,16,782,851,800,504,800,197,800,649,500,649,16,649,502,502,503,805,649,649,800,502,649,527,501,501,502,502,378,501,503,282,500,800,502,800,500,501,502,502,503,501,503,649,503,502,501,483,502,431,800,503,800,800,500,800,282,828,317,800,503,800,918,649,501,800,503,282,501,282,750,405,736,502,500,649,800,500,649,360,649,405,705,530,800,7,649,503,500,501,502,501,503,502,502,503,800,87,503,500,103,503,32,503,16,282,503,500,502,502,800,649,800,501,282,501,501,503,867,800,117,401,449,800,16,649,282,800,800,649,103,800,503,800,500,502,483,500,649,503,500,800,501,503,500,503,800,16,649,386,501,500,282,800,503,503,500,501,691,107,501,503,502,500,501,503,112,569,501,649,649,898,800,800,500,502,502,800,838,282,282,958,501,649,716,16,501,500,502,265,502,503,503,649,271,503,364,282,649,502,501,503,714,649,503,8,800,179,649,800,649,500,504,501,503,500,501,501,282,800,500,502,85,282,800,503,800,502,794,649,649,649,67,800,800,503,800,501,800,16,501,503,282,503,649,649,501,501,282,282,649,103,111,500,800,500,502,503,81,649,595,501,502,16,504,503,649,501,104,501,500,500,724,502,282,800,503,500,649,649,872,502,502,810,503,501,503,503,621,503,503,502,800,282,501,800,649,649,194,649,501,528,500,504,501,800,502,502,502,500,500,501,501,502,800,800,500,132,800,501,800,502,504,502,800,503,800,501,500,503,501,204,800,16,502,502,649,800,16,800,500,649,461,800,282,800,501,500,954,800,649,503,652,500,500,800,282,282,756,501,649,501,649,502,501,649,649,502,500,649,500,282,501,500,702,501,250,501,502,102,500,649,500,649,502,500,216,800,502,502,800,649,282,501,503,649,501,503,501,503,501,420,501,596,500,16,500,938,800,503,649,500,500,282,800,649,282,503,501,137,502,501,503,283,500,501,649,649,502,721,192,500,503,503,282,649,928,503,500,501,503,881,800,503,470,500,649,800,282,760,767,503,800,649,502,107,800,502,282,500,920,783,800,649,503,800,834,503,216,500,502,500,282,16,500,502,502,502,555,502,501,503,501,16,649,502,800,503,504,503,503,500,501,501,649,206,502,503,800,282,501,501,649,501,649,500,503,649,502,304,800,136,800,282,603,503,503,503,649,502,800,502,500,500,503,800,800,501,282,718,501,800,501,649,503,16,501,500,503,800,282,500,800,500,374,502,502,649,431,500,502,503,282,482,649,503,801,16,503,501,144,500,500,647,800,705,500,800,500,502,500,502,501,282,503,500,503,536,649,800,500,500,800,800,502,502,503,503,502,107,570,503,282,500,501,181,500,501,504,572,218,500,500,800,500,503,282,800,649,502,800,918,501,800,649,649,282,503,502,504,728,503,502,649,502,541,501,502,649,214,170,800,502,314,800,800,345,501,649,502,806,321,502,502,289,503,800,508,503,800,500,500,503,649,204,503,282,503,649,504,800,503,390,800,503,501,500,500,800,500,503,502,502,705,503,893,649,649,502,501,500,649,649,500,500,504,16,500,800,16,282,100,501,501,649,649,800,501,502,501,503,800,800,501,503,794,501,649,500,800,501,500,200,501,16,649,764,502,500,502,724,501,105,282,800,503,503,340,501,503,501,500,649,502,372,16,503,501,649,800,800,500,590,649,500,500,102,649,502,501,649,502,800,500,501,500,501,502,503,502,800,502,501,800,16,501,934,649,500,501,649,800,800,800,800,800,503,800,16,649,502,502,649,222,16,504,500,282,962,502,500,503,649,100,503,649,801,502,649,503,282,500,502,891,502,649,501,501,649,500,501,974,1,935,935,16,502,16,16,649,500,800,649,282,649,649,649,112,502,501,800,500,334,649,800,800,282,503,503,502,649,16,464,800,800,800,503,800,503,800,620,301,500,800,502,649,649,649,800,500,502,282,503,366,500,503,649,500,501,333,503,282,500,501,504,503,282,159,859,282,501,649,786,500,605,501,501,503,649,502,503,649,649,500,501,107,500,205,800,649,282,649,649,503,503,500,502,501,501,16,503,502,501,800,649,504,649,501,800,500,502,500,282,800,341,502,500,649,502,503,650,649,502,501,502,503,503,500,649,502,504,503,649,500,800,375,800,500,501,500,649,649,777,649,649,649,502,649,500,370,649,740,800,16,501,503,501,20,282,649,800,500,501,502,649,282,649,500,103,649,503,503,503,500,800,501,800,501,500,500,501,649,502,500,666,282,50,649,86,42,762,800,107,501,500,649,503,503,502,878,649,504,474,500,649,500,501,390,501,16,71,16,501,500,649,649,16,501,501,500,649,282,74,800,430,501,502,16,282,501,282,372,789,649,610,436,500,503,500,503,502,503,503,500,503,792,503,502,504,501,800,800,649,775,502,978,503,649,403,503,282,943,503,501,649,116,500,500,800,713,500,503,649,800,800,282,502,800,501,500,649,649,501,502,649,504,275,282,502,503,282,649,502,239,503,501,27,503,938,282,502,103,502,800,501,500,502,502,800,649,282,671,503,647,226,501,262,503,502,502,424,345,500,504,649,503,504,607,501,502,649,500,447,501,501,503,279,503,500,500,567,503,504,800,502,319,800,282,503,501,503,983,282,649,649,282,655,103,800,502,500,503,917,500,504,504,503,282,500,800,282,502,503,562,502,282,503,282,500,282,500,282,503,649,649,503,502,451,800,649,800,649,649,501,502,553,800,119,282,501,649,649,800,800,500,282,501,503,503,501,500,800,649,800,62,282,502,501,502,806,16,503,800,812,502,101,503,502,503,282,800,502,810,649,649,501,501,16,503,649,649,502,502,500,502,500,800,649,800,877,800,500,800,501,500,501,502,503,130,501,282,282,800,800,503,649,501,502,619,370,502,504,649,309,501,503,354,502,500,501,650,649,503,800,501,501,649,720,800,602,502,16,885,502,500,502,655,500,649,501,500,795,500,502,500,649,500,16,503,721,456,800,500,503,800,697,501,16,105,243,649,503,282,500,504,502,500,503,866,800,500,649,500,502,503,649,502,671,649,73,649,649,500,649,282,502,502,502,649,800,883,501,500,500,502,502,16,501,800,502,501,282,800,500,378,500,800,500,282,931,501,501,500,503,500,800,503,502,800,501,282,483,501,282,500,500,649,800,500,727,502,500,800,649,500,500,502,503,503,503,500,418,502,800,649,103,502,900,288,649,282,800,502,503,336,500,503,500,920,800,800,500,502,282,501,800,501,282,649,502,502,649,418,800,16,503,500,866,800,503,107,800,503,264,503,624,800,501,502,501,16,503,16,52,282,503,649,502,800,928,502,800,502,503,800,227,357,600,649,649,503,75,503,318,649,649,800,500,503,501,649,503,16,502,501,649,502,800,502,502,502,282,454,501,649,649,16,649,588,501,501,649,503,501,800,16,16,649,649,501,500,502,886,800,768,649,913,472,502,500,500,282,649,649,501,502,910,107,114,501,649,503,502,649,501,501,503,649,107,649,502,649,503,502,800,800,319,503,364,502,649,637,500,502,800,331,61,282,918,502,503,502,502,500,502,800,177,282,282,503,649,501,503,502,500,649,501,649,88,282,503,282,800,282,738,649,243,500,500,501,766,503,501,502,16,501,649,887,282,502,500,502,502,500,502,500,501,649,282,500,500,72,503,220,800,501,195,800,501,649,501,502,271,501,500,502,502,500,282,503,16,503,678,649,103,800,500,16,649,500,631,107,800,800,800,746,500,503,502,270,503,107,502,800,649,501,504,501,649,503,52,500,649,500,649,107,500,500,439,649,502,500,503,501,501,502,500,649,649,649,649,501,400,103,139,800,235,502,504,16,503,800,503,502,503,649,794,502,502,504,501,649,649,282,502,649,673,16,16,16,503,16,800,503,649,502,282,649,282,649,501,649,282,502,135,800,501,503,500,649,649,800,649,800,800,502,502,503,649,800,502,649,800,286,649,501,503,103,649,500,501,503,502,501,502,501,503,282,502,500,282,500,634,501,628,800,649,501,503,534,501,800,500,504,500,800,676,911,107,503,282,439,800,502,800,353,282,274,282,867,649,503,503,800,500,800,503,919,649,649,800,649,282,502,800,282,649,500,500,800,800,502,800,800,503,800,500,107,800,105,502,800,502,649,800,502,503,504,503,503,800,649,503,502,501,500,500,504,800,503,501,501,503,372,503,502,503,501,501,502,501,501,501,800,503,500,500,107,500,278,503,501,503,2,807,649,500,500,800,759,502,502,503,500,501,505,500,800,282,503,501,50,501,502,500,282,76,16,800,500,649,504,649,800,501,503,649,16,500,502,649,649,501,502,924,649,500,503,502,500,503,800,500,503,282,800,750,503,503,16,501,500,502,800,504,501,504,282,349,282,503,502,752,503,649,502,501,103,502,503,103,501,800,840,501,916,439,107,500,500,500,282,649,800,800,503,503,649,503,502,500,501,649,502,501,485,649,800,800,502,800,649,649,800,503,500,649,502,335,502,282,107,501,503,502,503,502,649,649,500,332,563,800,800,649,649,649,282,502,822,107,146,503,501,649,503,282,649,202,999,504,800,649,502,800,107,282,502,503,502,502,71,800,800,500,172,502,500,501,649,501,800,800,649,503,502,800,800,502,502,649,501,503,503,500,502,503,800,501,242,502,503,503,501,503,502,800,503,800,500,800,500,504,16,649,501,800,800,501,501,502,17,867,503,502,501,501,500,856,800,503,147,502,500,475,501,800,500,503,16,800,992,504,649,282,502,852,792,800,500,800,611,501,649,502,501,655,503,503,500,504,282,502,649,501,282,107,908,800,16,501,800,917,503,500,800,710,501,800,500,649,502,494,503,800,649,649,501,503,500,800,501,502,503,503,503,503,233,282,739,500,501,500,504,501,500,649,503,503,502,800,502,800,500,500,282,501,800,502,800,800,649,501,800,34,502,282,502,800,501,503,117,500,501,502,245,502,209,649,503,503,501,500,81,282,501,649,107,800,502,500,504,501,282,16,503,502,502,502,236,282,16,502,503,800,500,649,502,500,649,502,649,504,800,282,649,500,649,500,408,800,282,282,16,282,649,103,705,603,503,649,500,282,16,503,500,502,5,545,776,282,16,800,800,503,502,16,858,16,501,334,502,800,501,503,502,800,649,800,16,166,503,800,649,501,800,365,282,502,502,501,16,649,282,16,282,800,501,432,800,503,502,504,504,502,501,282,503,148,501,282,649,501,282,800,61,502,103,503,501,500,282,503,649,649,688,488,943,500,500,570,649,502,502,503,503,504,501,501,649,502,502,501,898,800,501,800,800,16,502,502,649,503,502,503,677,649,282,282,649,504,503,502,503,501,503,500,500,503,502,800,500,780,458,503,800,501,502,800,500,503,16,649,502,16,503,649,501,457,99,503,649,503,500,500,282,503,800,500,501,503,503,800,16,501,501,282,288,503,473,501,501,649,800,503,807,501,649,16,501,500,63,800,638,502,282,502,503,649,501,503,800,501,16,501,500,500,502,16,300,800,261,500,800,987,282,503,16,649,503,502,800,213,282,502,502,800,503,501,503,649,500,502,500,500,500,500,501,500,503,649,705,502,282,16,503,501,649,501,504,659,649,649,649,282,800,500,502,16,502,800,502,503,502,502,800,649,501,800,649,649,500,800,282,112,503,502,126,800,500,16,503,500,800,501,501,649,501,649,800,649,649,501,503,800,501,500,503,503,649,649,800,501,800,502,501,504,649,502,800,16,900,649,282,800,503,503,502,77,504,649,502,500,503,500,501,638,501,500,838,500,800,282,503,649,500,800,280,929,800,16,282,500,500,500,503,44,16,501,649,503,503,500,500,807,282,800,800,417,16,800,500,800,603,75,282,288,282,501,800,503,800,503,282,800,500,502,500,16,649,107,282,649,500,502,503,107,503,501,800,649,503,649,500,501,800,800,800,502,500,502,502,500,282,501,503,502,16,502,502,501,16,503,649,622,649,502,503,584,501,649,800,16,16,800,649,503,503,282,503,503,649,501,357,501,868,800,800,504,503,503,504,503,502,502,502,502,850,503,503,107,501,800,649,502,649,755,501,705,787,797,503,107,502,649,800,502,501,649,503,649,501,282,800,889,503,501,500,504,502,386,502,800,226,500,800,800,800,501,800,504,500,503,800,501,501,501,320,502,500,501,502,905,649,503,503,501,501,501,64,502,944,282,501,16,555,800,500,501,16,503,503,846,503,503,357,503,503,504,500,501,503,705,503,282,500,502,502,464,502,502,390,502,502,500,282,282,503,649,501,501,800,800,500,800,452,500,402,800,974,501,800,649,503,701,500,800,501,60,501,649,800,976,937,502,800,502,649,705,16,282,500,500,500,502,502,282,502,649,501,500,649,500,649,501,500,800,504,98,501,16,282,503,503,503,153,500,705,500,150,973,501,501,800,511,502,649,500,649,500,501,502,501,502,649,500,308,649,500,962,503,646,534,282,649,500,649,501,16,282,501,501,500,599,649,800,649,649,500,649,800,800,800,503,501,503,501,800,501,502,503,282,502,649,16,800,503,800,649,500,501,649,687,501,16,503,800,649,502,503,649,649,502,503,649,861,502,107,503,500,501,501,501,503,501,500,502,502,500,501,800,800,107,502,503,16,503,649,44,500,649,501,500,240,649,602,504,500,800,333,500,804,282,502,649,501,16,649,502,500,501,649,800,500,610,16,649,503,502,501,503,194,16,501,800,503,502,504,14,954,503,503,500,500,800,800,649,282,56,282,501,304,649,502,600,282,501,501,503,649,502,500,503,947,502,503,503,501,500,800,500,503,501,503,649,800,649,501,282,500,16,504,500,800,503,800,649,734,500,800,282,649,839,501,502,649,503,504,501,800,501,107,282,500,501,800,649,116,503,800,501,282,16,502,502,800,282,503,500,800,161,282,649,500,500,225,282,500,500,504,503,501,800,855,800,282,500,135,865,503,500,649,800,501,800,800,502,800,500,502,503,630,805,800,502,502,553,502,282,800,649,649,649,501,747,503,282,919,649,501,502,649,500,502,649,502,503,501,500,484,503,500,503,800,501,649,503,500,13,500,502,649,503,800,800,501,17,500,501,649,500,503,500,282,501,649,43,503,282,503,501,501,649,695,503,282,16,649,502,500,649,800,800,705,542,282,107,910,500,503,500,500,800,458,103,501,800,649,800,38,453,501,500,800,503,282,502,502,502,501,107,649,501,502,282,502,649,500,800,504,501,649,500,502,649,800,501,502,800,501,282,282,103,501,649,906,800,500,502,649,500,501,502,501,503,500,501,16,16,501,502,500,502,800,649,800,288,503,504,500,502,800,68,503,681,800,503,800,500,282,501,503,500,500,503,386,502,168,649,649,502,800,503,500,103,503,800,503,502,649,501,906,503,800,501,501,800,500,503,649,501,503,501,796,800,501,282,503,282,649,502,642,282,800,503,282,800,503,503,649,504,800,800,502,835,800,649,800,502,649,649,503,571,501,800,800,649,500,282,501,503,503,501,649,501,732,502,16,500,500,649,208,16,503,501,800,800,649,503,581,863,503,501,501,501,800,500,502,500,904,501,334,502,800,502,800,562,800,649,265,697,500,649,649,501,941,800,500,502,800,503,501,800,649,649,500,172,502,502,800,502,502,501,874,246,501,800,501,501,800,649,501,502,503,502,612,500,502,502,426,16,16,501,500,800,500,500,199,501,800,501,500,501,503,502,649,503,500,501,503,998,503,502,800,800,282,502,503,503,502,800,649,236,800,649,74,712,290,107,649,800,500,16,502,649,649,800,16,800,800,731,16,282,286,503,500,800,16,649,502,500,502,502,500,649,282,500,501,16,501,649,503,800,282,503,501,502,800,800,16,502,500,501,282,502,500,649,500,500,504,501,503,503,649,649,282,500,503,807,501,800,553,503,500,16,800,800,103,502,649,800,502,16,502,500,501,16,800,500,500,800,500,501,649,282,501,922,800,649,502,16,504,500,503,504,503,502,573,501,500,649,881,500,501,502,503,789,649,649,649,107,800,800,649,45,16,112,501,492,502,103,503,500,500,800,800,351,800,502,500,501,800,800,500,16,500,502,649,649,470,800,886,649,674,800,503,500,500,656,800,503,800,649,649,282,502,16,800,503,501,800,649,502,502,500,502,16,500,503,501,912,649,800,47,16,43,500,502,501,649,956,800,501,649,502,649,501,649,282,501,282,105,502,500,575,282,800,800,501,500,282,501,500,282,800,503,282,502,501,500,502,502,475,502,649,502,501,800,800,307,800,501,500,349,162,649,502,649,503,502,341,503,800,503,282,500,800,500,282,502,500,500,800,503,502,649,649,503,649,501,402,500,500,503,495,500,502,503,649,338,800,476,504,503,502,500,800,500,800,501,516,501,500,282,800,649,500,503,503,800,500,16,502,800,776,601,800,649,527,500,501,649,16,236,31,800,503,251,944,502,503,500,882,501,803,929,800,502,194,54,500,502,504,500,501,500,107,501,649,501,501,501,540,282,502,16,503,501,800,501,420,500,283,861,500,282,500,501,649,282,503,649,800,500,800,304,501,501,282,503,502,621,800,776,649,502,282,501,649,503,502,800,800,800,502,876,282,800,502,526,502,800,16,501,649,502,65,502,502,16,502,163,800,501,501,800,107,649,500,503,800,501,501,800,503,501,502,500,501,649,503,649,503,945,282,282,500,649,503,503,503,503,502,503,800,500,502,282,500,368,500,282,503,500,501,500,502,800,502,319,800,503,500,800,500,501,758,107,649,503,504,266,649,800,500,502,502,504,649,649,800,282,16,502,501,800,500,500,649,500,7,504,162,891,870,500,503,503,500,502,501,103,282,501,453,282,503,800,502,800,800,601,500,726,649,503,649,16,502,503,16,800,501,800,649,500,500,800,502,807,503,800,503,16,103,649,16,501,500,503,500,800,501,500,879,282,500,502,282,107,72,503,800,500,649,503,503,800,282,503,503,649,802,502,107,800,800,503,503,800,800,800,503,503,501,501,502,501,649,500,29,282,282,500,282,500,953,500,501,282,501,649,282,501,501,800,503,503,649,501,501,502,503,167,501,502,503,501,500,501,976,504,501,123,800,232,800,649,800,502,500,800,282,502,282,502,501,282,502,649,501,501,16,438,503,502,16,649,649,501,500,502,109,800,503,502,500,282,374,800,715,502,502,832,16,800,503,282,501,502,500,502,501,649,28,501,502,364,501,504,887,502,649,763,800,649,501,649,502,57,16,649,501,649,500,503,501,502,501,504,501,649,500,502,167,501,500,502,649,649,649,501,649,502,649,649,800,503,323,502,501,649,503,649,500,500,9,705,649,174,800,503,502,502,186,876,501,500,502,503,502,823,380,649,502,501,800,452,138,649,500,800,500,800,649,649,502,649,196,107,501,649,502,503,800,501,649,89,800,282,500,500,501,649,649,800,649,282,501,107,800,503,16,503,503,500,649,501,501,502,501,103,501,503,282,502,503,501,327,649,500,500,502,800,502,800,502,649,800,649,282,800,649,800,649,649,501,800,282,282,631,502,503,503,540,649,500,800,504,503,502,501,450,500,705,628,649,500,800,503,500,502,501,502,502,502,503,501,501,503,649,800,282,649,500,503,502,501,500,501,649,502,282,501,800,618,502,503,649,649,500,66,705,504,649,800,78,503,282,502,500,800,504,503,503,502,503,800,503,649,649,503,502,649,503,501,501,649,282,500,800,502,800,501,500,503,727,282,200,800,368,649,503,327,649,124,500,771,500,500,800,775,282,271,502,503,427,800,502,500,503,800,500,502,501,649,282,800,501,500,501,950,800,649,16,291,649,993,502,607,800,501,800,503,500,501,282,107,16,282,924,800,502,503,282,500,501,500,800,501,800,502,800,503,804,649,502,649,981,503,649,16,282,503,502,649,500,718,800,501,800,234,503,501,649,968,502,377,503,502,649,649,557,800,502,800,501,800,500,502,501,501,800,500,103,649,800,503,503,500,503,500,500,502,649,800,501,16,503,503,282,282,501,502,704,500,500,583,504,282,800,649,502,500,282,501,800,502,501,649,800,649,774,500,502,649,800,800,500,589,800,502,809,502,800,649,649,16,503,502,800,503,503,501,502,69,282,723,16,503,502,282,500,800,503,500,598,500,502,503,501,502,649,501,675,800,500,501,95,843,649,501,501,800,800,503,501,500,16,501,649,501,649,502,500,501,502,504,503,282,212,501,503,500,800,649,500,800,16,649,501,500,979,502,500,500,501,649,649,800,240,502,503,500,16,502,649,800,58,649,501,501,16,500,501,282,500,503,282,501,649,800,500,503,503,501,649,500,800,500,500,176,500,501,820,501,503,501,503,500,501,504,649,649,282,16,502,800,502,501,296,282,503,503,649,16,539,501,503,500,649,16,502,649,501,501,800,502,501,804,282,556,800,502,16,502,22,800,503,500,800,501,16,500,501,503,500,501,282,649,16,107,800,502,501,500,480,504,503,282,500,500,502,502,800,503,503,555,501,501,501,282,503,649,503,705,649,126,800,502,500,800,500,282,282,503,649,881,649,800,800,502,282,800,501,800,500,500,649,501,16,649,529,502,500,501,800,500,501,503,177,347,500,503,500,503,687,649,282,503,502,500,500,500,502,239,500,800,501,800,500,178,500,800,259,800,500,500,47,800,503,502,502,649,319,502,16,503,502,800,265,503,503,649,503,503,441,502,503,501,972,649,282,649,800,800,800,90,501,16,593,16,500,501,500,800,16,533,503,503,89,502,501,502,649,649,503,800,500,55,501,800,649,502,649,503,649,500,800,800,500,502,800,502,282,503,503,921,759,503,119,192,500,649,501,800,705,649,503,500,503,800,146,501,103,800,282,500,800,500,501,500,504,502,501,649,800,800,608,503,502,282,679,649,503,502,502,502,500,502,500,500,703,502,649,503,243,502,500,649,501,212,503,502,503,502,500,501,502,503,500,500,502,871,500,16,800,501,503,502,649,166,649,656,501,502,649,282,649,501,705,502,649,500,649,16,501,16,501,800,774,503,501,501,503,501,543,500,500,464,502,507,503,800,925,500,825,282,16,649,16,282,702,501,502,501,501,502,906,800,107,502,500,500,85,800,503,502,282,502,800,566,500,503,16,943,508,503,503,500,500,503,800,800,887,649,975,500,800,16,705,800,649,501,504,501,649,848,800,649,16,282,800,500,503,500,501,500,649,649,649,503,503,502,649,800,501,649,800,502,800,501,441,501,16,649,282,500,878,282,21,502,800,500,503,501,503,649,800,800,649,503,501,907,107,767,649,504,915,800,500,503,649,502,282,502,503,500,628,500,649,404,800,501,282,503,615,503,800,800,282,500,503,649,809,503,800,800,502,649,16,513,501,500,501,501,500,503,501,501,502,500,502,649,649,107,503,649,500,800,501,16,946,649,502,500,500,282,502,501,503,649,503,59,503,504,501,502,501,503,500,500,800,16,649,500,501,502,800,282,800,649,503,800,800,503,649,503,649,501,16,649,282,282,649,502,649,649,649,502,800,502,800,800,649,500,501,950,503,649,471,503,282,500,501,649,501,800,282,763,503,649,500,649,503,500,500,807,396,501,503,649,800,649,649,500,649,500,504,800,503,933,501,800,500,800,502,800,649,502,282,649,649,649,504,502,503,502,649,649,503,800,592,282,501,649,500,649,503,649,643,331,649,501,501,800,501,503,16,649,503,649,500,833,503,503,503,503,502,502,704,916,800,65,649,649,800,501,500,502,503,649,282,502,282,221,503,500,503,501,282,261,501,503,544,441,361,500,501,500,282,500,503,854,107,501,800,16,282,501,649,500,649,502,800,503,501,502,503,500,501,500,503,282,282,500,502,502,502,502,500,800,649,503,502,501,500,282,800,500,502,649,282,800,500,500,503,502,107,503,800,800,502,649,649,590,500,649,502,649,800,501,649,16,500,502,282,800,503,502,472,501,800,649,500,501,503,501,800,501,500,649,501,649,649,16,649,503,500,282,683,800,709,501,466,282,800,871,800,800,502,769,800,500,800,503,500,282,502,501,500,501,503,501,103,649,503,501,649,500,502,500,649,649,649,649,800,107,649,649,9,502,865,16,501,503,395,800,500,504,800,503,649,500,800,800,350,501,649,502,500,554,503,282,107,649,649,800,500,503,800,500,503,800,502,501,501,500,733,282,734,649,502,501,800,502,971,503,500,400,800,501,502,649,649,800,649,649,500,502,501,312,800,500,800,503,500,800,649,502,502,504,282,501,103,500,501,502,800,500,282,503,705,501,501,649,649,282,503,800,135,501,649,649,501,503,800,282,501,503,800,501,502,500,500,500,501,502,111,845,323,19,503,282,800,282,800,503,800,16,800,103,500,502,649,16,282,500,649,503,649,501,649,503,649,282,282,236,16,649,502,649,276,800,800,501,500,649,502,503,62,395,502,345,800,501,800,502,501,500,800,800,501,649,800,501,500,502,503,800,657,576,503,649,649,528,501,501,649,500,800,800,148,649,501,649,502,16,502,800,500,503,282,800,649,649,502,265,500,649,800,16,502,503,502,542,800,58,649,16,800,881,502,501,503,800,649,282,498,503,501,800,503,649,800,649,800,503,800,800,500,502,503,500,504,800,610,504,501,649,502,649,502,16,500,800,678,500,500,501,800,503,800,649,500,877,500,502,282,282,500,503,282,800,705,216,282,800,551,649,501,501,500,649,16,800,800,249,121,649,501,649,649,649,502,649,103,649,501,800,920,502,502,501,649,503,800,282,649,414,504,502,501,502,500,501,649,604,501,502,502,500,614,504,282,920,502,800,502,501,503,503,18,503,807,502,502,501,501,500,800,649,500,500,982,502,503,145,503,500,500,503,500,503,500,854,649,503,800,500,500,502,501,502,500,800,800,649,501,502,501,103,282,501,649,282,107,501,574,282,649,16,501,649,649,502,503,649,16,502,502,501,807,371,394,800,800,502,649,503,419,501,649,503,223,502,649,745,500,584,42,578,503,501,910,282,649,16,108,502,175,649,649,503,504,53,282,500,649,503,282,502,800,503,282,800,502,500,504,502,649,502,503,500,503,282,419,700,500,282,502,501,503,800,500,500,282,501,800,717,649,500,501,800,503,282,501,16,800,500,800,503,649,888,282,800,800,282,501,502,502,649,503,408,800,721,649,502,800,500,800,502,800,649,503,649,503,503,501,501,503,103,103,877,800,501,39,649,649,270,907,502,503,649,502,502,103,649,502,502,501,16,500,649,502,649,501,649,503,500,764,400,501,501,502,502,800,800,282,800,649,282,500,501,649,503,500,649,501,503,504,502,500,103,800,500,649,980,649,649,500,502,282,500,649,502,503,500,502,502,502,282,502,501,649,282,600,501,800,504,16,800,502,500,839,800,282,275,649,569,500,800,282,501,282,282,649,502,649,800,503,501,500,649,800,502,504,649,500,503,800,813,367,503,800,501,581,503,800,501,500,800,800,502,800,282,500,412,503,800,503,800,649,500,501,501,800,996,502,500,500,800,501,800,649,807,107,457,503,800,501,649,502,282,800,502,282,800,500,502,501,800,503,501,503,649,155,501,500,196,502,500,453,800,649,501,501,500,502,783,501,800,800,800,649,150,16,502,500,800,500,503,503,500,649,649,649,504,501,503,503,800,800,649,503,982,504,500,282,500,503,800,649,649,649,500,649,503,501,500,500,282,16,500,500,401,503,501,502,641,649,503,501,500,503,500,504,649,800,649,800,115,649,649,649,993,540,721,282,503,503,527,649,800,248,649,501,800,500,503,501,649,503,502,502,1,500,501,502,503,649,501,436,800,649,282,974,501,236,800,501,503,501,497,979,500,792,500,501,501,720,649,649,800,800,502,502,503,800,500,107,501,35,502,500,800,705,282,79,282,501,775,500,649,728,800,649,34,502,500,502,502,502,649,282,649,263,503,503,649,500,649,649,501,800,103,800,501,500,97,500,418,501,503,996,500,800,16,800,800,500,501,649,649,488,504,649,501,282,382,503,503,282,800,800,502,500,501,386,502,503,500,649,649,502,693,800,500,800,502,503,501,282,649,154,800,502,800,282,502,443,501,501,500,500,502,503,282,649,345,282,500,483,818,501,500,16,502,502,716,107,500,503,500,500,649,649,800,503,502,501,502,16,649,503,501,800,501,504,500,503,800,504,503,107,500,502,800,503,800,679,947,800,800,502,500,503,500,800,649,500,282,800,800,500,965,501,501,502,504,800,178,282,504,649,501,500,502,282,500,699,649,263,500,500,502,165,503,502,800,649,502,649,502,143,500,649,503,604,282,282,501,800,500,800,800,287,649,502,222,649,503,502,800,649,501,800,502,503,649,501,500,500,503,500,503,800,500,500,503,649,800,107,502,500,282,503,800,502,502,800,503,282,500,16,263,502,504,504,500,501,500,800,503,501,649,905,294,649,16,502,649,502,501,16,103,500,501,649,649,503,654,800,107,500,502,401,500,500,103,502,500,649,502,502,501,500,800,800,503,500,649,800,503,503,501,500,502,44,503,103,800,16,500,478,282,649,501,502,16,502,107,800,870,501,487,282,503,503,503,649,504,800,502,649,503,503,282,800,16,503,502,502,282,502,500,503,282,151,16,800,820,501,501,503,800,103,186,168,501,503,649,500,501,800,503,282,649,440,45,282,501,503,282,500,649,800,502,503,649,500,800,502,503,500,107,500,503,800,932,649,726,503,800,502,282,649,421,800,500,502,502,503,268,502,282,649,501,502,282,947,49,649,735,282,137,705,501,800,502,800,800,502,502,500,154,501,589,502,503,501,649,500,500,800,800,503,964,502,502,829,649,107,800,53,502,800,503,800,500,502,502,500,800,504,649,105,800,502,500,800,501,800,114,649,503,649,501,249,501,501,649,388,501,800,16,503,501,800,800,800,282,501,500,800,500,69,282,855,649,364,501,282,671,689,140,503,666,215,500,800,648,667,503,649,800,501,327,800,503,504,808,649,800,503,16,500,267,16,502,590,501,649,502,500,501,800,500,800,503,16,502,502,502,649,649,800,649,500,649,503,502,282,282,502,503,807,649,501,800,503,847,649,800,503,503,500,503,374,282,355,502,649,500,800,190,800,548,107,255,502,503,501,504,502,501,730,501,502,500,501,501,800,761,500,282,501,502,746,282,282,502,503,500,649,503,800,363,649,800,243,133,501,503,364,503,503,800,496,800,800,800,501,800,500,501,282,649,182,462,800,91,503,500,502,282,503,501,911,501,434,501,282,232,500,649,501,500,282,504,501,650,217,800,503,503,649,649,503,800,800,503,489,501,502,397,500,500,649,800,501,635,500,649,800,500,714,500,714,500,649,502,500,501,649,500,107,502,501,502,800,800,807,712,501,649,503,500,649,649,503,965,282,649,375,500,800,505,502,502,501,800,649,503,502,131,602,501,502,649,282,800,503,16,282,800,282,483,282,500,649,649,500,500,634,242,800,800,800,500,500,800,500,649,649,501,800,800,913,649,500,649,502,800,649,649,501,322,501,649,502,500,649,503,503,906,500,501,393,503,502,282,503,500,501,282,501,501,500,500,502,501,503,800,649,683,501,800,110,502,649,800,800,800,526,649,800,502,500,503,500,500,625,503,500,502,800,649,649,500,501,503,500,208,800,503,800,500,500,800,503,751,501,502,417,501,504,963,800,800,800,282,500,503,649,500,800,649,649,503,504,500,502,501,720,649,500,501,800,649,800,503,800,800,502,504,282,501,500,500,500,649,649,568,800,503,503,649,501,502,649,705,282,503,800,695,501,502,504,503,503,503,500,16,16,503,282,501,500,282,500,282,501,501,807,501,504,16,503,501,649,16,501,649,502,800,500,800,649,502,800,501,800,597,502,501,501,484,16,501,500,800,800,503,649,500,501,502,503,503,502,502,502,500,649,503,502,649,500,800,800,503,500,502,500,503,501,282,503,800,500,503,16,502,503,502,800,800,649,502,501,502,649,503,282,500,107,649,800,649,500,502,503,226,800,282,502,502,649,500,281,502,503,503,16,502,282,504,806,649,800,800,16,800,503,537,502,16,503,800,501,649,504,502,501,282,986,501,800,503,503,800,500,771,800,503,107,502,503,500,500,500,16,500,502,502,649,987,800,503,500,649,500,502,316,16,970,501,685,649,368,500,502,48,800,82,501,502,16,501,501,800,501,503,282,501,502,500,282,649,502,800,503,500,503,501,800,61,282,501,107,503,502,713,504,503,649,502,500,500,503,501,501,500,482,649,282,800,503,800,500,501,570,500,501,282,730,502,501,16,167,729,502,800,500,800,503,500,107,107,800,502,800,503,500,503,800,800,282,351,500,501,649,282,800,501,502,501,649,502,500,761,885,107,285,800,950,800,688,501,649,500,500,669,649,501,504,501,503,502,649,649,500,501,868,649,800,502,500,800,649,649,16,282,800,502,501,107,282,500,800,649,503,800,282,502,282,800,501,666,502,16,980,502,649,502,503,282,502,502,649,282,104,649,501,500,800,737,16,502,282,500,500,501,500,800,502,501,500,800,800,501,935,16,504,649,282,113,504,282,282,800,800,503,138,503,649,649,500,501,500,688,800,649,649,502,501,500,503,501,504,800,107,304,16,504,500,800,502,649,16,502,29,503,500,282,800,27,100,649,502,500,873,503,503,800,502,501,649,501,300,649,503,502,502,503,800,649,861,501,502,800,501,800,800,341,649,503,502,502,649,104,16,16,319,800,502,395,649,649,501,500,501,16,503,503,503,503,649,501,463,649,800,501,503,502,282,500,501,500,311,502,800,500,502,501,503,649,738,617,649,8,502,504,503,107,649,649,649,829,502,80,800,502,938,502,502,502,503,649,800,800,507,500,35,500,649,503,502,800,504,416,157,455,503,800,800,800,500,502,649,246,3,693,16,504,503,503,503,649,68,649,500,100,510,504,502,103,646,800,500,504,649,500,502,502,503,501,500,282,649,502,503,798,649,16,503,502,649,800,503,282,501,100,501,500,16,503,503,501,503,502,500,502,800,189,500,503,237,502,282,502,649,500,500,502,503,501,501,501,800,503,503,282,500,503,649,503,502,502,649,800,502,16,867,282,502,649,800,852,500,800,649,800,282,503,502,800,649,500,816,16,503,511,649,500,282,72,501,500,16,502,500,248,800,558,503,503,500,488,649,800,503,649,502,800,501,501,501,85,939,341,501,500,502,111,501,339,107,500,346,503,800,23,131,453,501,649,503,800,500,16,800,504,16,503,996,649,503,649,16,282,502,649,502,501,800,692,800,809,501,500,501,501,502,500,502,800,501,500,649,649,382,800,905,169,649,501,649,649,649,503,501,503,194,800,518,800,502,649,800,282,16,501,501,807,800,503,649,282,501,503,16,503,321,649,502,500,346,800,500,800,800,16,649,649,503,649,649,502,503,502,503,282,800,649,501,904,649,501,501,501,800,503,502,649,501,800,501,500,500,649,868,503,649,761,649,501,649,503,16,501,502,500,3,178,649,737,649,502,503,649,501,500,519,800,503,501,800,282,649,503,649,504,500,501,107,649,16,282,501,649,503,501,501,503,649,503,503,800,770,503,503,500,816,500,282,800,501,433,282,502,487,649,800,800,502,500,501,500,503,649,501,16,503,503,800,503,502,800,501,543,500,7,502,172,649,502,502,649,282,500,342,364,500,282,649,800,502,649,503,649,500,500,503,649,502,503,649,800,282,666,503,565,649,503,282,503,501,503,502,501,649,500,502,411,649,368,800,649,800,282,800,184,282,502,282,967,503,500,16,502,414,800,459,501,503,590,649,649,800,16,501,800,21,502,649,649,502,500,501,501,501,503,502,503,649,800,107,251,649,500,282,282,845,649,500,503,503,107,501,500,500,800,501,502,500,649,708,500,649,501,500,502,800,282,800,84,502,649,502,501,500,649,501,282,502,486,500,501,595,800,503,800,800,500,800,500,503,503,502,282,800,504,499,800,501,800,800,612,503,501,501,502,503,800,503,800,800,501,503,500,988,502,800,501,800,649,649,649,800,16,16,800,502,500,500,16,357,870,500,283,809,649,504,649,503,501,649,800,503,501,502,532,800,503,16,500,649,607,502,800,502,500,800,503,500,649,800,282,500,503,800,896,502,502,467,282,503,282,501,500,800,261,501,993,649,800,501,229,649,466,502,160,800,282,503,503,800,501,500,500,649,503,800,800,500,502,501,503,800,500,502,503,16,649,282,194,16,649,502,649,501,503,649,500,800,800,16,16,13,429,503,500,800,604,649,501,501,16,501,838,502,16,500,649,500,800,502,500,502,502,16,503,800,502,649,502,502,501,282,503,501,282,800,282,653,503,502,800,502,649,502,501,504,502,503,649,128,504,16,649,500,8,500,503,469,501,500,501,502,501,503,800,649,501,53,668,502,502,501,282,16,500,500,503,282,66,500,61,502,800,282,501,503,641,800,502,503,73,649,649,501,649,649,649,649,502,502,887,800,811,502,503,500,185,500,503,649,629,563,504,800,501,504,649,649,800,103,503,649,501,503,503,501,501,500,649,610,800,500,946,501,649,500,500,500,500,867,501,500,503,800,649,503,16,501,800,500,649,501,16,649,503,502,500,800,649,482,504,501,800,649,501,503,282,282,500,502,800,800,649,501,502,107,800,649,500,282,500,961,502,132,500,502,649,282,649,649,266,800,649,282,500,800,16,258,472,503,503,282,501,501,16,649,800,501,501,649,501,649,504,501,503,724,503,502,500,107,800,501,282,502,721,501,282,501,500,503,501,500,502,503,270,800,282,649,502,504,649,800,502,501,501,501,800,649,502,500,503,503,500,24,502,16,800,503,501,503,859,649,501,16,502,503,389,501,501,282,800,984,501,800,501,42,503,649,500,500,503,744,282,502,282,500,649,282,502,649,16,503,503,501,800,675,410,501,501,57,800,502,502,504,503,800,282,503,500,502,800,500,800,800,282,500,282,500,800,800,501,702,500,649,503,502,503,502,502,503,502,502,800,649,500,307,16,503,282,503,503,500,649,800,500,800,501,649,649,500,503,501,800,800,800,501,800,800,800,502,500,705,503,502,503,500,503,503,107,502,744,800,501,500,784,16,800,503,502,282,635,501,800,500,502,385,282,502,800,501,800,649,16,800,501,501,649,800,282,501,502,501,501,504,501,649,929,282,520,500,500,501,502,649,503,501,503,649,800,503,501,694,649,800,800,460,502,676,500,282,800,500,649,800,649,503,502,501,501,502,16,892,282,502,503,282,503,649,649,95,501,649,604,800,800,103,282,500,501,500,713,705,649,103,501,501,282,800,649,16,649,16,649,500,795,503,502,503,500,800,502,504,649,800,16,800,649,501,282,282,502,800,16,500,16,649,800,501,649,649,502,502,800,649,504,503,705,649,282,500,501,649,649,649,649,107,502,800,500,649,282,171,503,501,500,649,503,601,182,502,440,500,322,500,502,16,853,800,282,718,501,501,461,500,502,500,500,604,649,500,282,502,503,501,502,500,503,800,501,282,502,502,503,800,16,336,800,182,649,282,502,500,501,282,282,500,19,500,500,500,649,502,503,500,501,501,501,649,800,503,934,800,500,800,390,800,649,503,800,503,800,504,282,500,502,800,502,501,500,503,264,503,504,649,500,503,649,845,800,649,502,502,502,282,649,800,501,800,503,611,500,834,800,783,500,800,502,800,503,384,502,502,649,827,500,501,282,503,502,800,501,800,500,502,503,501,502,501,800,800,649,800,649,16,706,282,800,604,503,501,800,800,500,406,503,503,705,282,103,282,502,502,800,391,500,502,800,800,472,955,501,500,501,500,501,649,502,503,800,407,961,649,503,503,503,503,649,503,504,858,649,649,282,796,501,282,649,282,16,282,800,800,504,649,806,93,649,503,649,649,503,156,500,800,503,503,800,828,800,103,503,735,500,500,864,506,501,800,282,502,800,501,107,804,800,800,474,649,107,503,800,503,643,800,241,800,411,501,501,769,800,503,501,649,501,504,503,502,800,692,503,400,501,503,501,16,500,502,649,16,503,649,503,800,503,501,649,16,649,503,501,800,504,502,649,501,502,501,503,649,260,800,282,500,502,501,504,500,282,504,502,501,500,649,156,282,458,502,501,501,800,500,774,501,649,503,500,501,282,800,500,501,800,503,208,121,502,800,649,501,800,502,501,502,501,502,649,649,800,504,649,502,501,649,502,503,16,502,500,502,503,503,501,649,800,501,800,282,433,800,503,466,503,649,502,649,16,500,501,504,500,503,800,800,282,800,16,649,500,500,649,159,502,500,502,501,500,153,375,649,501,800,504,503,649,502,705,503,800,503,649,500,649,800,721,282,649,16,502,800,649,503,649,503,502,401,500,502,500,500,504,839,502,429,16,502,80,97,502,501,500,502,501,500,649,500,649,503,966,502,649,503,940,501,800,760,800,501,501,500,124,501,501,282,649,620,500,500,500,127,991,969,800,500,747,282,800,8,502,636,649,501,649,501,502,501,502,225,800,107,800,800,177,282,503,500,800,524,502,649,501,282,500,501,404,107,11,500,800,649,649,705,501,800,503,500,174,502,649,500,800,501,800,327,503,672,503,649,808,800,500,282,500,504,282,501,282,501,720,502,503,282,800,649,649,503,800,503,503,649,668,282,500,800,649,649,504,649,649,504,282,282,282,502,500,434,500,54,800,501,502,649,501,197,749,800,504,502,503,800,167,503,501,501,504,503,503,503,503,503,800,800,500,503,501,800,501,470,501,649,500,909,16,500,503,103,503,501,649,500,282,503,502,649,501,500,649,503,503,800,649,501,501,504,849,843,500,16,422,649,500,16,503,501,649,717,501,800,800,820,282,501,501,501,500,504,943,500,800,649,800,502,503,503,500,282,500,501,282,503,800,800,501,500,800,649,503,501,16,500,649,500,645,370,649,500,649,503,504,282,502,963,500,502,503,501,503,500,503,800,649,649,649,649,503,500,500,503,800,103,503,282,502,800,908,500,502,503,282,504,502,493,478,501,503,800,544,705,649,649,503,501,807,503,512,800,503,502,500,502,502,800,500,800,800,500,527,282,501,502,807,649,282,503,502,839,800,107,61,503,282,500,502,501,16,649,503,501,649,503,800,649,502,502,500,282,649,282,500,502,504,800,503,604,501,282,649,649,502,649,503,502,649,282,501,502,649,800,800,503,501,500,282,501,21,501,503,500,649,502,649,501,649,282,500,502,500,502,503,503,500,503,107,247,504,503,282,16,649,503,107,282,500,500,800,503,501,193,982,501,500,501,503,107,649,645,849,100,452,107,887,503,503,800,16,963,649,800,800,500,503,103,649,282,503,926,501,501,800,649,504,649,503,649,501,502,282,43,107,500,649,501,846,501,502,16,800,500,649,282,649,800,500,503,502,500,649,502,282,504,500,16,500,510,500,500,649,500,664,479,502,800,440,800,502,800,16,800,503,107,16,502,282,500,108,162,503,649,282,500,503,501,800,500,502,649,503,433,800,500,500,503,501,500,649,502,503,16,800,501,282,16,502,500,800,504,82,649,501,500,649,282,282,800,502,800,705,649,649,385,502,312,800,853,496,800,649,501,16,503,16,502,503,600,503,501,800,503,503,502,503,269,800,649,481,800,282,502,282,501,1000,501,500,502,501,501,502,500,16,282,501,800,501,503,574,800,800,649,800,649,500,649,500,788,800,500,800,503,127,502,645,503,649,500,800,500,282,16,503,800,649,501,501,500,282,502,800,500,22,16,501,649,501,502,502,649,774,503,800,502,800,270,800,502,500,500,424,329,649,501,649,800,501,500,503,503,500,503,649,282,501,502,800,503,503,202,800,649,480,500,503,649,16,503,503,647,649,800,800,107,502,501,649,503,770,800,649,649,503,500,649,502,649,649,500,282,16,842,800,503,649,502,282,649,282,503,502,503,501,800,503,503,649,800,649,320,503,735,649,222,282,800,320,800,649,649,282,502,503,915,800,500,501,503,502,16,501,500,502,502,884,503,743,502,500,167,502,500,501,503,501,500,282,503,123,503,282,16,500,502,503,503,16,800,282,501,800,649,503,931,503,502,800,502,502,293,800,500,649,502,282,649,598,502,503,501,501,649,501,500,800,501,649,649,503,503,500,800,800,800,500,16,503,649,501,649,503,282,823,502,501,16,649,282,501,502,800,649,800,944,947,649,501,649,800,500,502,503,800,800,500,389,500,503,500,649,649,800,500,502,501,282,504,500,649,502,503,500,649,500,502,500,500,500,410,800,75,503,503,649,282,800,649,501,649,649,649,503,502,800,227,500,500,800,502,282,502,800,501,503,800,504,501,501,798,172,501,500,649,501,572,422,501,500,503,282,501,500,502,501,282,649,649,501,800,502,502,503,649,502,649,984,503,16,503,502,282,501,503,503,800,649,649,500,500,649,16,503,502,504,812,712,800,282,800,500,44,503,200,649,800,800,502,502,504,800,649,16,911,501,503,500,800,282,500,370,800,800,842,501,107,502,821,282,501,501,503,502,502,501,502,821,500,800,649,500,649,800,726,500,502,649,502,289,502,800,196,502,501,437,800,502,282,502,800,502,800,426,649,800,504,282,502,789,328,800,800,501,501,383,502,16,501,502,282,500,912,148,800,107,261,649,800,649,501,503,500,649,815,502,503,800,503,500,500,107,500,800,585,501,504,428,502,16,120,502,502,649,501,282,649,800,620,501,800,503,501,800,189,16,501,417,500,500,502,503,500,800,502,649,502,304,282,503,503,719,800,501,503,16,501,800,501,503,500,50,649,501,503,501,502,501,502,282,500,502,502,504,649,571,649,282,649,103,503,500,502,649,503,194,16,686,685,553,502,500,502,502,649,502,634,502,502,501,800,649,502,282,378,800,602,500,282,16,103,800,16,609,500,649,501,500,800,649,649,500,935,501,717,502,800,16,500,500,500,823,502,503,649,503,502,502,984,649,282,603,16,240,503,16,501,502,500,500,649,249,800,503,503,502,503,800,10,165,500,500,746,501,649,282,500,500,282,503,652,767,800,500,503,502,800,16,649,503,501,501,503,501,503,649,637,501,16,800,387,503,501,282,500,500,900,502,502,800,839,500,799,502,800,500,649,502,16,16,501,800,649,649,16,503,500,501,107,950,649,500,800,135,500,649,415,503,502,544,503,503,503,686,133,282,678,503,500,649,649,502,500,282,502,502,800,103,641,500,649,500,83,800,500,503,502,502,649,502,502,500,501,551,649,800,800,649,503,800,501,503,16,800,16,502,649,500,503,418,501,649,503,501,800,649,800,448,500,501,503,737,649,503,503,649,503,800,968,500,501,649,502,562,800,168,503,403,500,800,503,502,649,500,16,500,282,649,800,649,501,800,800,649,501,502,649,500,800,502,282,500,502,800,649,606,503,501,502,503,501,800,503,502,282,649,502,107,501,800,500,800,649,282,800,502,502,124,800,503,501,504,502,503,501,800,16,800,501,500,840,502,501,502,503,502,800,649,649,16,649,649,502,502,304,432,907,502,503,800,503,502,501,282,800,503,501,500,500,502,495,282,502,16,649,16,800,282,16,112,649,500,500,16,500,500,649,500,800,500,107,501,503,16,502,641,501,503,800,502,501,282,503,503,502,107,675,649,884,220,502,503,958,500,282,501,649,500,800,103,503,500,219,800,649,503,500,500,849,800,501,771,500,502,500,649,649,500,502,500,501,500,501,800,500,501,503,503,502,502,553,500,501,16,800,502,531,504,649,282,649,649,653,671,501,501,800,503,500,649,501,558,502,16,649,800,502,500,500,500,500,503,107,107,282,282,649,649,503,828,502,502,500,500,504,117,649,649,282,501,649,649,504,502,649,649,800,55,500,503,449,800,282,501,501,899,502,649,501,501,649,649,503,16,503,502,501,501,413,503,502,282,501,502,500,503,982,649,905,800,501,500,501,501,504,16,800,502,503,502,500,502,800,502,800,800,502,369,503,500,282,503,500,501,501,649,16,501,72,282,649,500,800,504,800,800,649,649,649,816,502,504,282,503,503,843,649,282,502,914,503,501,795,502,649,502,500,162,756,622,503,800,649,501,89,502,53,503,502,800,649,649,282,500,501,502,503,800,500,649,503,649,649,502,282,400,500,649,649,800,649,800,16,649,503,500,501,502,800,681,882,503,800,206,282,800,501,649,503,16,16,501,502,501,649,502,548,649,502,502,502,502,503,500,649,501,500,500,282,500,501,503,16,500,649,501,500,282,503,503,500,649,500,503,501,502,501,501,261,502,282,503,472,649,649,282,649,800,649,503,649,502,408,282,501,649,649,500,503,800,429,503,649,501,501,581,503,503,502,503,500,16,800,500,443,103,286,948,500,282,282,649,36,501,649,502,800,236,503,282,500,503,503,501,815,800,502,800,807,500,502,504,649,500,800,503,503,465,282,501,503,502,502,500,800,501,503,649,503,649,503,503,500,800,503,716,16,502,529,504,800,501,649,501,502,282,800,800,501,649,800,800,502,819,500,500,800,16,649,649,500,502,800,501,16,282,501,685,261,649,503,501,800,282,500,696,504,502,503,800,16,16,503,503,503,800,882,800,500,503,649,501,501,649,649,318,500,800,282,502,500,500,501,800,649,649,503,800,800,931,500,503,649,649,500,500,649,282,503,649,282,800,649,649,107,282,485,501,502,649,649,649,800,375,615,503,503,503,503,649,282,705,500,800,227,96,649,503,800,500,502,500,225,503,502,500,800,282,502,211,282,800,649,503,898,800,649,16,340,649,504,501,800,282,566,500,16,501,800,560,502,500,298,503,649,328,16,282,282,502,503,649,704,504,800,501,502,800,501,800,649,344,504,353,501,649,501,282,502,282,79,649,649,282,107,500,800,70,501,800,196,282,743,502,73,500,800,503,502,800,502,500,800,16,503,502,16,649,502,800,500,800,675,500,710,502,378,502,282,500,649,649,781,500,602,800,500,800,500,501,502,649,826,503,500,649,502,16,282,501,800,272,649,16,41,800,501,800,501,742,500,502,503,16,2,501,914,649,502,500,500,502,649,501,800,16,502,282,242,501,700,896,504,649,649,16,500,501,594,800,856,501,282,800,500,502,502,503,800,503,282,441,500,503,420,16,502,16,282,501,16,33,649,501,503,502,502,503,502,500,800,649,16,16,649,503,282,502,503,502,500,649,502,502,503,282,502,649,800,503,800,282,649,649,282,949,500,500,800,800,503,598,800,594,500,503,504,500,501,500,282,502,49,501,503,221,503,282,502,800,261,616,649,649,282,502,503,501,107,501,502,501,800,501,807,705,502,502,800,501,500,282,282,143,583,800,503,500,502,501,500,501,501,800,800,649,649,800,649,503,649,800,502,282,403,282,501,503,503,649,502,649,500,800,282,501,503,500,649,800,282,648,501,501,800,501,555,800,755,502,501,503,502,856,500,282,503,502,503,800,916,657,282,500,282,500,16,636,649,649,649,501,502,800,500,502,500,503,502,343,500,870,500,649,502,501,503,649,282,621,419,800,71,500,800,800,502,502,800,16,501,800,500,649,500,501,500,800,502,501,126,649,649,649,800,282,501,649,649,503,282,503,501,649,649,800,282,501,649,500,649,503,855,501,502,282,501,867,500,282,502,502,561,282,503,500,800,502,621,502,282,649,502,501,155,800,502,800,649,800,503,503,16,649,502,144,800,502,502,800,502,502,501,541,500,504,800,800,800,502,339,501,503,705,503,502,800,282,500,502,501,649,501,800,649,262,502,500,503,500,649,502,503,800,503,95,503,649,501,501,500,500,501,501,501,1000,649,500,858,800,800,633,800,649,800,649,502,502,282,502,502,103,503,800,501,649,503,503,500,800,282,503,500,503,649,718,501,649,500,500,800,500,501,503,502,800,503,282,800,107,833,649,649,862,800,501,500,463,501,649,16,501,649,501,373,282,800,523,504,649,500,500,649,800,876,501,501,501,649,462,500,503,503,649,500,649,501,282,501,502,800,500,500,501,503,500,500,501,800,500,500,43,502,502,503,649,800,500,282,800,649,503,502,800,800,667,503,649,272,502,502,501,500,501,282,503,500,282,103,649,501,500,649,714,502,500,500,502,502,500,503,800,503,282,800,501,503,502,500,119,158,502,800,16,504,800,649,500,198,107,503,800,800,502,502,649,501,503,501,107,502,503,282,501,501,502,503,501,282,503,503,503,800,502,16,501,649,500,649,502,649,816,502,800,649,503,649,457,501,501,282,517,800,503,736,642,649,393,503,501,501,501,356,164,503,500,16,469,501,649,800,500,500,503,400,502,501,400,501,504,503,714,282,502,503,500,649,501,649,502,502,504,800,16,500,502,107,503,282,503,101,504,649,503,649,649,503,503,649,282,649,320,900,504,501,649,500,282,503,503,502,501,503,282,502,501,500,500,501,164,501,60,503,501,16,800,502,649,502,503,800,501,560,729,502,503,502,282,502,800,257,585,503,502,503,103,501,649,282,503,649,502,16,103,502,649,502,800,504,500,500,800,649,502,502,502,649,501,16,500,502,502,501,649,649,501,800,502,649,800,649,502,503,502,800,800,649,649,649,500,103,800,500,503,282,800,282,502,503,503,500,800,501,800,500,16,282,885,649,501,649,503,504,501,503,502,579,503,502,502,282,800,504,16,501,500,107,282,503,103,232,503,502,501,800,503,800,800,282,800,282,486,502,649,503,800,502,502,800,500,500,503,501,502,500,16,503,800,503,504,500,800,501,502,16,800,153,800,649,502,282,503,353,500,502,500,649,800,501,649,500,501,501,503,654,503,501,502,282,502,500,282,649,503,502,16,502,649,16,649,686,500,800,501,16,502,503,649,500,282,502,331,282,501,800,502,649,649,282,501,649,184,800,502,800,800,282,282,504,800,502,502,107,649,501,649,282,94,500,501,16,282,500,635,282,503,503,800,800,501,503,16,282,800,800,282,713,503,800,494,649,16,800,649,501,946,547,649,364,502,16,649,852,800,503,500,504,501,649,800,917,503,649,800,800,501,502,282,16,504,500,649,501,501,500,503,800,502,649,503,502,501,501,501,500,16,503,503,500,649,501,503,649,174,649,800,502,500,151,500,649,649,16,501,500,649,501,165,500,145,800,500,501,843,584,503,500,44,303,649,500,649,500,501,502,649,504,503,500,501,800,800,502,500,373,501,287,649,760,503,504,503,835,502,504,502,800,502,800,800,503,500,282,501,502,503,501,501,500,500,649,649,282,673,649,500,503,502,649,649,800,282,649,282,501,503,800,503,649,503,867,502,503,500,502,649,503,503,501,503,649,500,500,501,503,562,800,649,501,501,502,501,282,501,800,727,500,500,501,649,282,503,57,282,282,500,500,282,649,649,628,16,800,500,649,502,501,501,282,649,503,649,501,649,800,501,649,16,502,502,800,503,500,503,649,800,500,649,800,501,282,503,624,649,501,382,282,500,500,649,649,282,501,462,922,16,501,503,282,282,501,504,107,501,649,103,800,501,501,500,849,500,16,502,503,500,501,503,503,500,649,39,800,503,501,500,649,504,794,649,502,324,503,503,649,649,503,800,501,501,282,503,282,282,483,649,800,503,16,502,501,503,502,282,649,800,503,500,503,282,500,782,800,800,504,107,501,649,16,502,962,282,800,500,16,965,503,503,501,649,504,800,649,47,501,800,800,50,502,649,500,800,502,649,800,163,500,503,501,503,500,500,501,503,282,649,16,500,800,503,500,965,500,502,500,800,500,282,800,501,502,501,500,502,397,282,502,649,503,649,500,649,502,282,360,691,501,502,502,649,800,502,502,800,503,282,500,649,503,800,502,502,501,800,692,500,502,501,649,16,501,800,502,107,502,649,800,502,503,502,500,503,500,282,649,500,501,503,890,16,800,402,649,503,16,502,282,500,282,282,793,501,649,638,502,649,800,502,501,649,649,502,16,800,503,16,649,649,500,502,446,649,163,638,649,800,820,292,800,502,16,897,502,501,649,501,503,800,502,649,800,800,501,500,502,501,502,500,818,501,501,501,191,502,500,502,649,800,503,503,649,501,503,503,502,500,504,282,500,501,800,503,500,500,500,501,649,649,649,502,649,500,500,373,502,503,500,502,502,503,501,800,501,282,500,502,501,502,502,503,501,503,502,800,282,684,500,758,282,500,800,500,649,800,103,282,282,503,809,503,502,500,501,504,785,908,503,503,503,504,800,800,501,979,500,952,501,503,503,367,503,501,503,429,503,502,282,503,500,503,800,501,503,500,737,503,16,504,305,501,732,547,535,800,800,502,731,501,501,500,501,322,502,501,501,500,649,817,502,169,500,500,263,825,467,649,800,504,503,501,502,800,800,691,282,500,649,282,649,503,812,500,503,503,649,419,649,500,503,649,204,107,500,500,500,800,800,800,503,282,500,502,502,500,502,504,502,800,502,500,502,500,502,800,502,502,800,282,800,503,501,838,502,502,500,500,501,501,649,501,503,503,800,502,164,501,649,282,501,503,282,502,282,282,16,649,503,500,800,503,503,649,800,800,501,501,501,502,500,500,500,748,500,503,500,500,500,500,501,503,503,503,439,503,500,503,649,123,500,800,81,502,503,501,800,800,649,503,800,503,800,501,800,500,800,282,800,503,501,282,649,911,503,502,502,322,500,503,800,500,800,649,800,649,502,800,501,501,141,264,800,16,649,625,500,16,834,649,649,16,800,859,800,764,503,659,503,504,800,282,501,503,258,800,649,500,504,649,107,800,501,503,16,502,501,502,782,502,404,500,800,501,800,501,800,147,503,500,16,501,649,649,503,502,486,298,502,16,501,501,503,500,501,500,502,282,500,500,500,502,800,503,282,502,501,16,103,649,501,29,389,503,800,649,800,16,503,800,502,503,800,604,649,707,800,369,585,927,649,503,500,649,502,800,502,649,649,500,503,800,649,649,502,465,503,501,649,649,282,503,503,940,500,500,282,649,501,501,298,503,800,800,503,504,800,649,800,503,649,649,502,16,107,705,502,502,503,503,800,16,500,16,854,502,503,282,503,354,649,649,800,136,501,500,501,800,502,800,501,649,800,503,502,500,449,500,649,800,501,282,500,501,501,500,503,107,40,572,800,500,502,107,500,282,503,500,649,501,504,502,501,503,800,282,503,800,500,502,649,501,501,649,649,374,202,503,800,16,649,107,504,502,206,800,649,501,649,800,502,502,502,500,649,16,503,501,503,500,649,503,282,503,649,486,649,500,649,123,800,336,503,501,116,501,502,800,542,107,502,649,800,502,503,500,71,800,503,800,800,503,501,502,502,357,880,502,503,502,800,502,502,103,503,649,800,503,502,282,649,501,105,503,501,502,501,500,501,502,502,502,649,503,800,103,500,502,562,502,800,800,946,649,502,800,500,501,800,282,424,800,500,282,282,649,501,649,503,501,30,503,500,500,500,500,501,500,501,501,500,800,800,500,649,590,500,502,107,649,800,282,800,501,500,282,502,800,500,502,913,806,501,502,568,472,504,502,503,840,503,501,502,649,282,282,649,502,500,503,800,503,503,502,107,502,649,502,503,500,981,502,503,282,500,800,649,282,500,503,500,986,503,502,502,282,501,649,502,501,282,503,275,500,649,649,107,503,800,649,705,500,800,500,734,482,649,503,500,502,501,500,502,649,50,500,502,107,282,500,284,883,504,103,282,649,501,503,649,181,282,502,282,844,800,16,500,502,798,503,503,800,649,500,800,167,503,500,502,500,501,503,503,507,500,503,502,503,503,806,501,649,500,500,501,153,649,800,770,500,501,16,502,649,218,695,800,501,501,501,649,503,504,649,649,649,800,967,500,502,502,649,500,16,800,800,503,741,501,500,459,282,503,502,649,501,502,800,800,501,501,504,500,501,649,800,649,502,504,502,800,500,649,503,791,503,503,800,800,649,16,503,282,500,503,800,282,502,503,125,649,184,282,503,503,800,504,800,16,16,649,502,649,500,503,500,500,82,501,851,987,800,107,800,500,649,501,501,800,649,649,649,502,500,500,800,329,503,649,501,501,800,501,800,800,501,649,501,800,800,800,502,500,502,649,796,800,503,501,462,434,501,500,124,498,503,501,103,501,828,503,503,649,500,501,503,800,502,800,503,503,502,500,282,16,16,504,501,500,503,500,503,282,500,463,748,649,500,501,800,502,502,800,649,649,649,501,500,282,649,845,800,800,500,500,501,282,800,649,500,501,282,502,649,500,135,163,501,800,502,282,501,500,501,958,48,500,503,501,800,806,649,800,22,503,649,501,16,502,800,501,649,502,176,649,800,502,282,800,649,292,503,501,107,500,649,503,501,800,502,503,649,649,282,613,501,800,501,501,502,501,503,282,502,500,503,502,502,500,800,504,103,800,800,649,501,500,504,501,800,500,649,501,649,504,671,504,501,500,502,649,800,649,503,503,502,649,282,500,501,503,380,503,649,800,500,502,282,649,502,500,500,649,800,500,501,800,500,282,502,282,282,501,503,502,501,502,500,502,16,503,800,176,685,503,759,649,800,568,501,16,502,502,171,501,500,800,501,800,501,501,800,500,649,500,282,38,503,501,800,649,501,501,502,502,800,501,501,502,500,16,501,501,500,800,800,649,282,503,460,282,282,800,502,502,16,800,649,800,800,503,502,501,503,502,503,502,502,649,800,501,16,501,503,649,282,504,482,649,502,649,649,503,976,649,16,503,42,501,500,487,623,16,326,503,502,500,649,16,282,649,500,649,649,649,500,243,501,500,501,501,502,649,282,504,649,501,965,800,502,500,504,800,503,502,800,501,440,800,490,800,800,500,501,807,800,500,503,800,503,503,503,502,503,503,354,282,501,502,103,501,500,503,500,503,503,800,273,800,502,500,503,800,649,500,800,800,649,501,501,800,282,500,503,48,649,502,800,800,502,501,649,504,503,282,503,500,800,649,500,502,800,500,502,16,503,461,800,503,800,653,800,503,16,502,800,500,465,586,807,649,649,503,649,503,501,502,719,649,501,503,455,501,649,502,649,800,649,504,503,282,800,504,649,16,649,500,501,502,263,649,800,649,943,502,282,502,503,503,282,800,282,800,501,500,705,503,502,120,501,800,282,649,25,649,16,503,649,16,503,502,282,800,502,502,502,502,800,800,800,26,503,503,500,800,501,502,649,503,503,502,502,527,800,800,800,649,800,438,800,500,503,501,255,503,800,800,501,502,800,503,800,672,501,502,649,503,750,993,501,16,16,800,502,692,503,873,649,800,504,649,294,503,506,500,927,500,503,500,502,503,503,502,800,649,500,500,107,800,501,500,502,16,500,500,500,501,697,649,503,503,502,649,282,800,282,500,16,502,503,634,503,502,800,501,800,502,501,500,649,649,649,984,635,649,500,502,503,649,504,800,800,800,502,800,501,501,500,501,500,501,501,816,503,502,649,502,503,503,503,500,502,500,470,501,502,125,649,502,800,800,282,673,282,502,502,500,503,954,649,502,502,406,502,800,800,500,502,649,282,152,500,525,800,16,503,282,70,501,502,502,504,500,800,501,800,417,649,501,502,503,649,800,502,282,502,649,282,500,502,322,500,282,503,500,282,649,502,502,649,503,800,502,500,649,415,800,440,16,649,502,500,502,503,800,282,649,504,500,46,502,502,500,503,500,503,800,501,649,291,500,16,503,503,800,649,502,649,16,800,500,649,282,657,16,500,282,500,649,503,800,649,800,206,503,705,800,500,649,503,800,500,649,500,352,503,502,501,500,500,112,456,800,500,504,503,649,16,500,800,16,503,501,649,503,16,800,500,140,282,503,502,282,503,503,649,504,500,501,800,649,282,735,282,13,705,502,503,479,207,16,501,523,502,501,501,649,501,649,503,649,107,649,649,501,107,649,501,503,501,501,501,503,800,937,500,500,650,500,282,501,500,100,500,502,639,500,16,500,501,282,649,503,800,282,282,500,452,501,502,800,800,502,500,800,501,282,282,649,800,502,800,502,805,501,503,444,502,501,501,282,501,107,503,800,16,500,800,501,500,219,500,501,500,800,503,282,502,502,501,503,800,275,500,501,282,282,500,501,503,503,800,649,503,502,649,503,501,800,873,649,649,649,800,500,633,649,800,649,503,501,500,501,500,502,800,649,501,16,500,649,202,500,501,649,501,995,501,502,503,800,649,41,501,649,649,502,649,282,800,502,282,503,800,395,649,800,282,282,501,644,800,800,502,503,16,103,649,501,990,500,480,503,649,504,800,514,649,831,502,800,503,502,500,800,503,441,16,16,500,649,649,503,282,724,503,263,649,501,503,282,206,568,501,800,800,503,949,501,800,74,501,16,107,500,500,500,503,502,649,503,500,649,649,957,503,500,502,501,649,500,503,503,800,649,501,397,500,503,502,800,800,800,649,501,16,282,500,503,982,502,501,500,800,800,503,503,649,503,800,501,359,649,501,800,772,501,501,649,504,282,649,502,649,282,503,501,107,282,800,502,504,800,649,501,662,501,500,500,282,503,800,649,502,649,501,800,502,500,800,800,503,338,638,500,503,502,501,649,502,502,800,282,800,503,789,342,501,501,503,501,98,501,800,282,16,503,800,502,503,800,649,502,649,800,649,20,800,501,501,282,20,16,502,503,500,800,800,799,500,556,503,649,649,500,649,503,649,502,502,800,649,649,501,88,501,16,800,649,16,649,649,282,501,500,501,503,502,501,502,282,500,501,16,800,500,282,282,800,798,502,800,800,501,503,800,502,502,649,800,500,800,504,501,501,103,800,500,800,500,800,504,800,503,502,500,649,389,500,800,503,501,16,501,649,503,503,282,649,503,800,800,649,800,649,503,503,503,141,501,649,501,500,829,348,22,114,500,282,502,282,503,503,500,500,501,847,502,500,831,800,503,857,800,501,649,605,882,502,502,501,502,282,502,503,777,503,500,500,800,503,16,800,282,502,503,503,503,282,282,800,883,800,563,500,800,189,501,282,649,503,649,502,502,16,502,16,833,500,750,16,649,48,800,800,282,107,501,800,501,500,504,800,800,501,198,504,501,500,503,649,494,800,502,503,504,800,501,800,503,503,16,649,501,282,800,282,712,649,500,615,649,500,503,502,800,501,502,500,374,800,282,504,500,502,649,22,504,501,800,501,500,501,502,895,16,16,502,501,500,500,502,800,502,501,282,501,800,425,667,501,800,886,502,16,800,16,649,503,649,501,649,501,971,282,282,726,500,282,284,800,500,503,503,500,501,282,503,800,501,649,558,501,649,306,649,500,502,800,501,502,604,800,501,800,502,649,503,800,500,502,649,501,502,500,503,800,391,502,282,502,492,501,502,500,988,851,503,941,501,503,501,502,501,500,503,107,16,649,823,649,500,16,215,16,649,503,16,16,282,502,502,500,500,649,649,501,649,800,503,649,16,16,415,501,800,57,649,800,502,502,501,942,500,282,454,503,503,800,850,649,501,501,500,660,800,503,502,800,502,649,800,501,800,147,500,800,502,800,649,501,649,282,500,16,282,501,502,501,107,502,503,501,800,501,649,649,282,501,649,282,502,503,572,501,500,503,649,649,503,282,502,649,282,500,649,501,502,649,800,502,502,282,939,16,503,504,965,504,800,501,502,602,500,500,800,649,501,800,501,649,501,500,649,877,16,760,16,649,503,501,282,503,502,649,503,649,501,500,503,16,800,649,500,501,501,501,800,282,649,503,500,16,800,503,649,649,800,501,503,500,501,800,800,501,500,282,502,16,502,919,800,500,501,503,800,501,502,738,503,500,501,500,649,649,649,501,501,649,502,503,282,502,501,811,502,649,10,649,16,360,501,503,282,800,649,800,438,503,83,503,501,502,500,16,503,36,501,500,500,800,319,649,807,502,470,502,649,503,502,503,16,500,503,649,282,649,800,107,649,800,501,502,500,502,502,16,649,282,503,649,500,800,341,649,500,800,649,502,501,800,232,502,501,502,649,800,282,649,500,503,22,500,973,680,502,500,500,500,649,501,501,503,649,282,282,500,503,503,800,725,503,503,420,503,186,874,107,501,282,800,800,175,503,649,502,500,503,107,502,260,500,705,501,800,800,588,649,502,502,501,503,310,649,800,502,503,500,503,501,503,502,800,503,800,502,500,501,282,439,500,16,500,500,649,502,800,800,800,501,503,282,282,871,800,649,503,500,502,502,501,503,503,503,500,649,500,282,800,501,502,635,500,16,502,502,500,502,889,503,649,500,501,800,282,502,500,503,500,591,500,282,319,501,649,501,502,502,502,800,649,501,504,649,38,500,649,503,649,502,649,282,866,551,503,501,282,800,549,800,500,503,500,16,834,502,800,501,500,800,649,504,501,649,501,501,649,112,282,501,501,793,502,941,649,503,800,502,190,103,501,649,800,503,800,500,188,282,649,502,492,503,500,503,649,649,649,500,500,577,501,501,800,503,501,501,649,800,501,649,502,649,789,649,800,501,309,800,328,500,502,649,248,805,503,923,502,800,341,502,304,502,649,139,282,501,282,469,800,649,800,282,800,800,500,501,501,501,282,501,978,503,502,501,649,800,649,503,16,65,278,503,431,503,501,701,77,502,501,625,503,503,503,282,282,503,395,503,500,503,200,649,16,502,107,503,500,500,501,502,501,503,503,649,16,800,503,800,500,103,502,502,800,503,502,503,500,800,800,800,503,282,649,501,504,801,282,502,501,197,800,502,800,800,501,500,503,500,282,503,501,503,800,503,501,504,649,649,500,503,649,16,800,502,649,800,705,503,16,649,503,16,828,502,501,800,500,282,649,601,16,395,282,501,500,501,627,500,500,649,800,504,800,800,502,502,502,501,500,405,800,649,649,16,504,649,503,502,502,503,282,649,501,649,501,501,500,503,503,649,649,649,429,446,168,501,504,649,800,501,500,649,504,502,502,502,649,503,557,502,800,503,502,502,501,874,501,440,502,649,649,775,649,800,800,649,800,800,935,500,500,500,504,501,411,649,503,501,501,649,501,500,500,500,649,503,501,800,800,16,503,542,504,503,500,649,649,590,800,800,800,16,282,649,800,500,282,649,501,500,500,649,16,501,500,800,649,502,502,800,500,501,502,282,502,800,282,800,649,800,501,649,500,830,500,283,502,800,500,16,501,649,920,649,502,320,501,503,491,649,800,562,847,501,800,649,800,800,502,800,501,501,800,503,503,502,502,465,649,501,502,649,282,500,385,500,502,282,282,501,812,502,800,500,649,234,313,465,376,502,441,503,282,103,800,941,503,649,501,501,501,282,282,800,501,649,501,503,649,501,501,503,800,501,800,282,502,500,649,649,502,649,800,503,649,447,649,501,501,649,430,800,800,500,501,649,500,500,292,502,649,501,274,16,502,649,282,785,282,503,503,16,500,800,502,500,500,649,800,503,922,800,649,502,500,140,503,501,800,501,282,282,501,501,502,501,501,501,501,649,501,503,282,503,649,501,649,504,502,846,500,501,501,502,727,282,502,649,500,502,94,800,800,503,649,691,649,501,705,972,501,500,72,282,500,501,504,501,503,710,649,501,282,501,282,501,503,800,503,503,175,501,503,649,502,800,500,503,501,584,500,649,649,16,501,81,503,261,503,502,500,286,501,500,107,107,800,649,503,501,649,800,16,649,500,502,282,282,502,500,477,800,282,502,500,795,500,800,800,504,282,501,649,480,500,849,405,649,649,502,503,654,282,502,502,502,503,649,595,800,500,501,501,647,501,75,649,500,282,503,503,503,649,556,501,500,502,282,504,473,501,859,500,16,981,503,502,800,60,329,500,501,282,800,500,502,408,282,649,305,649,501,503,501,500,503,249,502,503,800,16,503,504,649,501,500,705,502,500,501,504,501,500,800,800,502,503,501,501,649,500,502,16,16,501,282,501,501,500,502,712,503,968,503,3,500,503,502,502,502,502,800,800,504,502,16,769,503,282,502,756,501,500,502,503,503,503,503,501,503,502,503,503,282,500,649,649,800,800,800,501,502,282,282,503,800,500,649,800,500,281,800,504,502,282,800,800,649,16,649,500,500,282,800,649,649,500,504,282,800,500,800,501,501,649,503,504,500,500,800,282,107,326,29,443,800,501,649,16,931,501,800,80,282,503,503,500,800,502,282,500,503,500,206,503,501,500,282,502,501,800,500,649,883,502,503,503,649,282,649,16,500,500,501,503,649,500,710,849,500,501,649,503,503,649,501,535,501,660,501,502,500,103,502,487,649,800,500,501,502,16,800,502,649,500,502,649,503,503,502,143,649,502,800,16,502,501,500,800,500,502,503,502,502,649,649,610,501,800,649,503,502,800,503,500,503,503,800,501,282,502,502,500,501,501,649,282,282,243,837,503,502,501,500,16,282,504,800,500,871,501,502,16,282,500,800,800,800,504,649,501,649,591,503,503,800,500,501,503,282,649,649,282,16,502,800,502,501,501,500,501,290,800,810,649,502,503,649,800,384,649,58,502,500,578,502,388,503,649,502,16,503,502,503,507,893,139,622,649,100,503,501,500,282,501,500,282,502,649,503,502,500,500,503,16,500,9,206,649,511,800,107,235,503,503,208,332,649,800,501,800,282,502,503,501,16,800,649,500,194,501,355,282,671,502,500,500,500,500,282,649,502,500,800,800,16,503,500,282,108,800,501,453,649,504,16,282,684,503,501,282,282,8,500,501,764,800,282,48,503,800,16,448,282,282,649,800,503,500,485,282,16,649,501,649,501,800,502,501,100,531,649,502,500,539,500,375,435,502,500,800,501,503,279,502,329,503,800,155,503,503,800,503,96,503,16,500,502,502,503,649,502,282,139,500,800,501,649,501,16,133,500,501,501,502,500,465,548,501,683,800,502,500,955,503,500,649,503,800,800,16,282,503,649,800,785,884,649,649,501,107,763,500,800,653,503,683,282,358,800,503,502,500,649,353,800,800,800,502,502,502,502,800,767,800,504,503,649,502,649,800,800,502,800,503,734,502,649,503,800,501,502,595,501,800,697,500,502,800,800,501,500,649,800,649,282,800,502,500,882,502,502,649,501,503,649,501,800,282,501,503,503,16,90,502,502,282,502,503,103,282,500,649,503,103,352,282,800,504,651,800,282,470,501,502,500,502,501,649,502,649,282,16,501,349,282,500,504,282,298,501,500,282,700,501,502,800,735,503,500,681,503,503,649,502,504,107,501,503,800,502,267,800,649,800,800,502,503,282,502,648,800,282,90,649,649,649,500,501,282,503,501,282,501,503,503,500,649,503,282,739,287,500,387,800,500,501,800,649,884,503,501,503,500,503,800,500,213,502,500,409,502,282,451,501,912,500,503,503,107,501,500,503,649,634,503,502,503,649,501,649,502,16,649,503,503,16,503,500,649,502,501,500,649,503,500,500,504,282,282,502,282,381,403,549,503,501,502,502,282,282,500,503,796,502,807,649,800,800,502,502,282,501,282,501,16,800,500,502,65,503,4,502,502,503,503,501,503,501,500,282,500,500,501,500,800,501,649,503,16,800,800,500,800,800,500,611,446,502,797,697,502,800,800,800,800,600,502,564,18,934,500,504,282,649,824,74,503,501,501,680,800,502,16,743,502,800,500,503,649,800,500,502,500,282,146,503,649,500,503,501,503,501,658,649,380,500,501,503,503,645,500,649,282,482,504,504,800,502,103,800,649,501,503,649,502,282,649,960,501,503,649,120,500,501,800,16,906,16,649,494,649,503,501,503,800,282,800,100,649,649,503,503,502,649,500,503,649,800,503,501,282,503,649,503,501,500,649,649,800,282,503,16,501,501,501,962,73,800,800,282,200,649,504,500,432,649,501,504,501,500,16,649,272,107,503,339,514,800,296,501,503,16,649,649,649,800,800,502,500,800,501,649,340,800,4,775,800,528,504,501,800,503,800,649,501,504,500,800,501,503,756,501,649,649,500,501,501,502,503,500,649,383,649,500,500,282,501,25,502,503,649,282,649,107,107,500,503,16,773,501,501,282,649,500,500,560,39,800,500,649,501,501,501,501,503,281,282,500,503,503,649,501,501,800,226,501,500,800,501,502,282,500,800,503,502,500,649,649,800,500,501,500,504,800,503,107,16,649,601,500,649,500,501,503,7,503,503,16,501,502,501,800,431,501,503,502,503,649,501,822,282,800,502,282,504,501,501,210,893,649,200,500,502,649,282,649,597,503,500,251,38,502,107,66,800,501,649,107,500,502,504,649,239,500,649,502,503,500,503,500,562,958,282,502,649,501,500,501,500,504,649,649,282,501,649,282,800,502,502,800,501,800,500,501,501,501,800,502,943,503,503,500,908,502,503,503,500,500,503,503,502,800,649,113,501,649,109,649,504,800,649,265,649,503,16,503,860,826,502,502,502,500,649,649,502,282,800,649,282,800,803,503,502,500,282,501,504,800,500,503,501,500,500,501,149,503,354,800,500,500,426,502,504,501,501,502,502,649,603,649,501,543,282,282,501,649,800,503,979,503,649,501,649,649,649,500,351,500,800,16,282,502,782,503,517,16,800,501,500,649,501,649,503,282,500,282,649,503,503,500,649,502,500,500,800,800,503,800,282,800,649,800,800,649,649,501,503,500,649,503,501,502,503,502,503,502,501,500,16,366,503,500,800,501,619,502,502,501,501,649,303,649,265,502,500,502,649,502,500,501,502,926,16,16,503,500,503,800,649,503,502,502,503,800,649,800,503,282,502,502,501,975,507,501,501,16,503,502,800,500,912,500,800,649,502,502,502,649,504,501,503,501,502,502,501,501,800,501,800,649,500,845,18,501,649,103,502,800,501,502,501,800,324,504,649,501,504,500,504,282,298,501,501,800,225,16,501,649,649,168,800,503,503,382,649,649,649,800,502,282,502,502,800,800,501,527,501,664,503,282,504,501,800,503,500,502,502,504,615,16,156,503,503,500,502,500,500,503,800,649,53,503,503,500,282,500,502,218,649,501,501,502,800,501,649,475,501,501,883,674,503,649,679,502,500,649,450,861,42,800,500,649,649,649,16,800,800,205,649,553,502,501,649,649,503,800,501,503,807,612,502,649,16,649,800,800,503,8,649,42,502,503,16,501,649,649,649,502,500,503,503,649,500,500,503,503,649,500,501,500,800,155,800,649,500,617,282,649,649,16,800,649,800,500,501,503,721,501,503,649,628,800,29,503,138,107,30,649,707,501,502,500,649,649,500,435,649,503,649,500,649,503,501,500,800,504,503,501,501,996,501,502,660,800,503,502,500,502,501,800,501,502,501,501,502,502,649,649,424,649,503,649,500,502,649,504,503,649,800,500,800,319,501,503,500,500,502,500,503,14,500,500,502,944,502,501,500,14,339,502,649,500,502,334,282,500,649,500,501,800,502,649,500,502,502,502,282,800,649,504,987,500,800,501,500,649,503,500,502,649,502,500,502,503,502,649,282,800,500,502,500,502,800,100,282,800,503,424,649,282,501,352,501,649,500,860,502,107,800,800,583,500,501,770,500,503,502,649,500,501,501,503,500,502,502,500,500,16,282,500,502,649,501,752,504,502,502,614,499,501,800,282,502,503,501,282,501,501,282,621,752,503,107,503,800,500,282,500,503,800,649,501,503,16,503,282,107,502,800,503,503,523,282,113,501,649,503,503,800,502,501,502,649,800,502,203,504,500,503,503,502,500,800,504,502,649,649,502,502,954,800,800,503,649,503,501,500,800,321,503,500,480,500,504,282,649,500,800,500,501,500,800,503,624,649,649,500,502,16,500,502,503,282,500,503,503,649,503,649,651,500,559,500,503,503,649,92,800,500,503,282,800,271,500,501,501,500,504,500,800,649,502,800,501,800,502,933,800,503,502,836,649,800,503,16,500,501,500,457,649,500,505,649,501,649,16,503,649,530,941,500,295,690,649,649,502,282,502,503,502,97,282,425,500,504,501,502,282,190,146,503,501,649,282,502,800,501,500,800,800,649,107,502,501,501,107,503,800,500,800,649,282,500,284,800,282,500,500,800,649,502,16,649,502,16,502,501,503,800,501,703,502,454,502,501,282,649,16,503,502,502,140,103,501,800,501,649,800,502,492,503,502,800,501,500,107,16,501,502,501,501,649,649,500,648,265,800,503,500,502,800,503,500,501,282,501,800,649,503,282,500,501,282,502,500,501,502,810,801,503,800,502,503,501,500,502,16,649,503,649,501,502,502,502,800,800,205,500,107,504,502,500,503,874,649,903,800,502,777,501,282,477,501,649,502,282,500,800,500,925,282,621,800,502,282,260,880,503,282,269,501,503,352,503,649,500,649,322,282,503,800,503,501,649,504,502,813,333,282,500,800,800,500,224,500,756,22,503,800,282,327,503,500,501,501,500,503,649,503,501,145,503,503,113,649,800,501,649,500,649,502,649,500,16,500,501,504,800,684,503,503,282,104,788,16,282,649,16,500,503,259,800,502,500,502,500,48,503,500,649,649,502,92,800,500,800,500,502,16,16,501,865,500,774,4,502,500,17,649,503,503,649,112,504,282,282,502,502,500,282,800,503,502,1000,502,800,282,812,502,16,649,573,819,107,649,503,282,282,800,16,502,501,501,501,649,501,649,500,502,501,987,800,501,800,800,162,282,502,500,800,501,502,502,705,503,501,504,504,394,282,649,502,502,649,501,649,503,503,503,431,800,800,800,503,800,800,800,503,500,503,501,503,500,282,889,649,800,800,800,722,501,868,649,649,282,501,502,501,502,282,649,282,502,800,800,501,504,800,501,502,500,502,282,502,500,503,107,649,503,16,502,769,502,800,504,501,370,225,500,501,500,590,800,800,501,649,649,800,502,502,800,980,503,503,500,193,503,501,411,503,800,776,299,800,649,800,649,216,503,800,100,502,800,282,503,282,282,282,800,502,800,649,800,502,503,503,282,800,649,500,500,500,503,503,649,442,504,16,503,502,16,503,553,503,503,800,503,502,800,791,649,800,282,16,501,502,501,800,500,649,501,503,503,103,16,503,503,16,282,649,649,502,504,262,503,502,649,500,800,501,503,504,500,502,649,16,503,503,800,501,501,502,503,649,282,502,800,503,152,649,649,282,504,500,800,800,503,72,503,800,501,500,649,502,806,501,282,282,500,501,800,282,501,502,58,649,503,282,649,16,501,502,800,503,501,649,503,501,362,649,502,503,500,503,501,503,500,649,168,502,58,800,974,500,800,800,182,502,197,577,500,800,340,504,501,16,500,502,107,649,649,800,501,282,500,649,198,500,501,501,501,800,503,501,800,500,800,500,800,501,800,446,503,501,649,282,502,503,503,501,503,16,503,16,877,503,800,800,501,500,649,501,16,501,649,529,501,800,500,649,800,504,502,500,502,503,503,500,649,16,649,649,503,649,502,502,649,3,501,649,500,782,282,799,501,500,501,800,4,500,27,501,618,503,502,282,500,800,502,503,502,649,800,501,500,800,500,500,282,282,502,501,500,649,504,503,502,649,123,16,935,503,502,502,500,503,800,502,503,503,501,500,282,500,503,16,100,649,500,500,107,282,502,649,800,796,502,504,572,800,800,951,503,502,502,500,282,504,503,649,503,501,503,503,502,500,503,649,502,501,282,503,649,504,500,501,504,649,767,501,601,649,487,500,649,910,649,504,500,800,503,500,501,503,422,282,649,500,649,503,905,261,800,503,16,502,623,649,649,649,282,800,800,282,16,501,649,500,800,501,500,501,800,502,282,800,800,282,501,500,16,503,282,503,501,500,502,357,503,503,501,501,501,649,649,150,503,181,503,502,800,500,502,800,503,107,282,500,845,800,502,500,500,502,500,500,500,502,800,377,816,232,500,649,502,502,649,502,501,500,502,501,501,800,501,501,502,800,501,731,649,502,282,800,649,502,500,500,917,800,501,16,503,504,501,649,800,500,800,500,539,501,502,500,649,649,501,503,500,502,800,649,800,282,800,800,502,502,649,503,727,503,502,649,649,649,502,501,502,807,800,231,504,500,800,24,500,502,503,800,502,282,282,282,649,722,72,767,3,503,838,649,503,502,800,503,503,500,282,504,649,527,107,503,625,103,596,503,500,966,649,501,649,800,649,16,800,649,16,501,679,502,500,503,649,891,500,503,503,501,501,500,828,282,962,502,649,103,16,800,901,501,503,649,800,502,502,500,500,501,649,649,800,501,500,282,501,16,501,649,481,504,800,502,501,502,989,503,649,501,282,649,500,30,16,502,500,672,649,649,501,500,501,282,282,501,800,800,800,503,502,478,500,16,502,500,502,503,500,502,502,501,800,652,503,503,503,503,649,649,500,500,16,649,502,649,330,503,502,16,800,500,501,500,504,500,503,502,501,649,503,16,800,283,649,800,503,800,502,796,500,503,649,800,800,501,500,500,500,503,500,951,282,800,627,502,503,502,501,500,649,503,503,649,649,800,649,500,800,16,501,501,502,800,503,503,500,500,282,578,500,500,800,175,649,501,782,649,649,502,282,649,16,303,768,500,800,502,282,282,502,166,502,503,502,501,171,502,500,697,800,502,502,649,649,500,800,649,501,649,501,501,501,800,501,502,503,503,16,405,531,649,500,649,503,1000,282,501,649,501,500,501,649,241,504,800,503,503,16,649,501,501,800,800,649,502,503,107,76,16,270,502,501,503,503,800,503,502,504,649,503,502,800,127,649,503,774,503,501,503,500,503,282,649,503,503,800,107,649,503,336,431,649,282,276,502,501,940,502,800,800,501,502,924,500,503,649,800,500,282,501,501,649,800,800,503,415,502,501,502,800,107,175,500,800,845,800,800,105,501,502,282,503,107,649,501,501,503,503,298,503,500,800,800,107,501,282,649,501,649,501,800,282,503,800,501,503,100,500,500,500,501,649,503,500,418,503,209,501,649,500,501,503,800,649,500,503,800,103,502,500,649,16,502,500,500,800,649,501,649,16,503,501,502,649,501,731,800,800,501,174,800,68,501,800,501,501,135,502,503,282,282,500,800,15,501,503,823,503,800,649,501,501,800,501,503,16,500,441,502,649,501,502,504,800,388,800,501,649,649,15,649,649,800,649,500,282,282,282,942,282,501,501,282,800,501,501,500,503,501,800,10,16,500,649,503,503,576,500,501,511,649,649,503,47,649,500,503,649,501,282,800,282,501,503,219,103,501,500,500,503,501,800,3,649,503,800,800,800,282,502,503,920,800,500,503,500,649,800,504,649,503,649,800,800,501,503,649,501,800,649,501,500,503,503,501,649,503,800,503,502,503,500,502,501,800,503,39,649,503,612,230,502,500,649,282,502,767,959,500,501,800,503,767,16,649,502,649,649,503,503,649,649,502,503,172,800,501,1000,500,781,800,981,649,502,502,502,800,500,500,825,503,800,921,502,502,649,503,501,800,501,649,649,501,913,800,282,282,500,502,501,501,800,503,720,800,800,800,800,649,282,500,649,649,503,800,649,501,500,282,282,503,16,500,500,800,502,501,504,800,249,800,282,501,282,649,503,649,16,501,501,800,500,503,282,800,800,500,282,502,500,500,500,503,282,846,503,800,649,800,800,503,500,503,624,423,500,503,878,502,503,503,500,502,503,649,500,502,649,649,649,502,500,503,502,501,502,16,500,501,800,502,591,501,502,501,503,649,500,501,107,501,500,501,282,503,503,502,644,800,501,79,500,282,503,275,800,502,501,502,705,500,500,649,282,282,502,649,649,800,649,800,282,800,500,649,800,649,502,503,518,649,502,500,800,800,503,502,501,500,503,503,800,501,649,282,502,338,282,503,16,500,504,501,501,103,502,502,503,502,500,55,107,800,800,501,718,500,500,500,649,503,503,282,800,503,502,501,829,649,16,501,500,649,736,800,500,501,16,501,282,501,434,874,502,503,717,504,500,562,502,46,503,503,500,501,282,502,503,282,500,103,800,800,800,16,16,503,501,502,502,649,500,282,107,503,502,503,800,348,878,649,501,503,967,48,503,649,500,800,501,107,800,649,800,282,103,501,282,503,500,500,649,503,502,502,502,879,422,465,649,503,504,800,503,487,282,504,282,502,503,502,800,503,501,502,282,16,501,649,502,282,649,800,500,800,500,433,502,438,504,649,689,501,500,800,800,16,649,649,649,530,800,503,502,800,800,16,136,501,280,800,535,501,502,282,504,502,500,501,14,503,800,32,649,503,501,800,501,503,503,649,501,503,649,649,800,16,649,501,282,501,282,502,500,649,502,976,800,503,503,800,503,500,500,500,502,282,712,800,501,261,649,501,425,282,800,502,107,500,234,503,786,683,282,503,692,501,800,16,501,500,503,800,800,501,800,503,503,800,800,500,500,502,503,282,800,649,500,649,933,501,649,500,800,501,500,500,800,649,369,502,501,502,500,500,16,500,824,616,500,500,503,800,502,503,649,502,649,503,282,800,502,282,800,855,380,501,800,500,503,256,800,649,800,503,800,502,500,16,800,501,501,649,649,282,800,282,705,649,282,503,503,502,500,502,503,501,528,649,382,649,16,501,837,502,282,800,500,698,800,502,502,649,500,800,501,503,502,502,501,500,800,800,503,800,503,649,503,649,504,502,800,16,800,649,800,282,500,502,500,705,800,649,503,502,800,103,503,500,500,503,941,500,800,162,266,500,500,501,407,501,16,16,503,501,107,503,502,500,182,500,800,16,649,800,503,500,800,16,502,800,502,759,503,501,800,800,791,501,503,502,501,800,503,857,800,800,800,500,649,649,800,282,504,500,503,16,852,503,503,107,800,282,500,500,16,649,502,501,649,502,503,500,16,606,107,502,464,500,503,800,501,107,502,800,501,434,504,800,205,800,503,107,282,282,503,500,500,282,800,502,500,501,502,526,501,107,501,282,501,282,649,282,503,501,504,502,203,500,800,501,501,455,503,501,503,500,800,503,649,649,800,282,504,503,501,800,282,500,500,800,108,502,800,16,223,649,500,503,679,649,501,649,800,502,500,500,501,16,503,503,501,502,502,282,501,501,503,506,502,209,500,501,500,501,500,807,649,282,800,164,500,208,501,504,502,503,503,649,500,502,500,800,500,503,501,955,800,739,800,649,501,282,649,502,87,520,503,800,47,502,16,719,800,504,800,503,503,504,16,16,121,649,502,282,502,503,958,800,22,502,823,502,501,800,800,649,83,503,502,503,649,501,649,800,800,542,501,781,282,502,501,500,500,800,503,501,800,500,16,501,501,275,282,500,800,282,16,282,501,149,502,501,282,502,282,500,501,503,504,800,800,800,501,500,800,649,529,649,500,501,500,388,500,502,410,503,503,502,501,504,500,16,24,503,800,569,232,503,626,649,800,501,503,279,800,501,502,649,800,290,282,282,503,503,649,503,585,282,502,4,500,503,800,800,649,503,649,481,502,800,107,500,800,25,800,282,502,503,503,503,282,800,649,500,501,503,649,800,649,503,758,500,649,282,504,500,503,502,649,502,168,500,501,649,500,503,698,800,500,500,502,800,110,501,502,500,742,282,501,501,800,588,502,503,800,501,649,649,800,800,16,800,703,649,501,649,426,500,168,500,503,649,500,826,502,500,99,16,282,503,500,649,500,698,503,408,503,990,500,502,800,649,500,800,800,282,781,502,502,16,501,800,501,503,501,282,800,800,107,504,800,504,649,500,501,103,504,501,211,500,649,137,162,649,649,649,16,649,502,502,282,649,649,282,503,502,503,504,649,502,649,500,501,1000,649,16,500,282,502,503,649,502,504,501,500,503,503,503,502,503,649,503,501,500,502,503,800,500,500,16,103,649,649,503,501,649,501,500,500,500,46,437,503,2,501,500,282,661,501,500,649,503,503,503,500,503,800,503,282,500,121,649,705,800,501,502,500,503,501,503,501,501,501,649,502,501,500,282,649,649,501,503,800,800,800,500,649,502,502,502,501,503,800,503,800,502,503,649,503,502,649,502,543,502,962,501,705,800,501,501,501,807,800,663,649,16,502,502,649,502,107,501,800,337,502,500,16,649,501,502,800,800,649,16,649,503,818,282,500,800,501,649,501,504,501,500,196,502,800,501,501,703,503,501,282,649,502,224,504,588,16,503,649,800,800,503,999,800,649,282,188,501,107,502,800,649,501,16,501,800,649,502,800,282,649,503,649,800,500,500,800,649,649,502,500,501,649,10,504,503,501,16,500,649,503,500,301,500,501,470,649,16,124,800,649,500,649,649,649,501,500,500,501,500,282,649,501,282,396,502,282,800,502,800,61,800,649,500,282,649,503,282,649,500,500,502,502,282,500,503,82,282,500,800,649,649,502,503,501,503,800,649,501,501,800,944,290,501,176,800,16,605,38,649,649,625,537,502,502,502,503,500,649,503,16,500,649,282,16,501,503,921,881,500,503,649,282,501,388,502,668,649,649,800,500,501,649,16,500,501,100,282,30,503,282,501,282,893,500,500,745,502,471,503,501,503,501,649,501,501,502,501,501,500,502,503,282,649,501,116,501,501,649,502,503,16,282,800,649,500,503,503,584,503,16,800,107,495,502,502,649,800,649,502,800,649,502,383,649,800,874,502,503,800,503,501,800,532,649,502,503,649,503,501,800,503,500,502,500,800,483,800,821,800,649,800,501,500,503,501,282,503,606,800,501,185,501,501,503,502,800,500,502,282,16,503,800,500,502,500,501,501,500,502,235,503,282,107,282,500,282,500,140,502,800,503,500,649,500,502,500,500,657,502,502,16,501,503,503,501,500,282,500,500,282,282,502,503,649,107,1000,503,649,500,502,649,107,282,107,800,500,107,649,800,503,649,502,649,503,736,502,649,16,800,502,282,502,800,502,502,649,200,800,282,282,503,502,16,649,800,503,800,636,501,501,500,501,500,503,412,649,581,282,502,405,800,503,764,502,501,800,649,16,800,649,502,282,503,800,501,503,649,800,649,800,800,501,282,800,501,800,503,649,501,502,647,649,502,503,649,500,501,503,282,742,800,800,800,390,501,501,649,800,503,800,800,649,502,649,800,503,501,734,503,503,501,503,723,502,502,649,800,649,649,500,500,503,500,649,649,502,502,502,677,16,235,501,16,16,500,503,503,16,800,501,649,16,16,16,502,800,502,670,501,16,282,649,503,501,566,649,310,800,500,503,282,608,800,501,282,501,502,333,649,282,503,649,502,501,282,800,500,963,500,503,503,500,909,500,575,282,649,503,165,503,282,501,282,501,503,501,16,503,800,800,503,649,502,503,793,501,887,502,800,620,501,501,500,503,503,103,501,800,502,16,649,501,501,728,500,502,501,503,500,800,502,500,502,282,501,356,282,649,800,707,649,501,649,411,282,282,500,71,16,500,500,501,501,800,500,502,502,500,500,501,502,800,800,500,501,503,639,649,501,503,649,16,282,682,282,503,503,107,501,501,501,502,649,800,800,503,282,800,501,649,503,800,649,800,501,501,501,913,151,502,502,501,800,500,800,800,800,500,503,502,282,502,503,800,500,500,501,501,502,503,107,501,501,282,502,649,502,649,837,649,16,501,501,503,800,800,503,649,503,282,503,800,649,800,501,500,502,282,502,500,282,502,800,757,784,282,503,501,502,800,649,649,649,503,503,800,649,800,16,500,649,502,649,502,502,800,503,503,649,800,502,16,26,10,275,503,502,16,649,16,500,649,282,501,500,282,502,503,800,800,16,800,800,546,501,800,501,501,501,500,107,501,501,500,206,503,649,501,501,642,501,78,775,649,503,800,649,107,502,649,503,503,649,800,649,501,649,500,501,502,503,503,17,282,500,503,649,103,649,219,16,500,800,503,501,800,282,649,649,501,282,282,504,282,800,502,500,502,800,10,500,503,649,501,501,649,107,501,718,502,800,500,649,282,500,706,503,282,500,500,800,501,501,649,649,500,649,800,502,500,626,502,500,452,913,282,501,501,649,800,502,501,800,649,338,504,503,502,800,103,866,282,649,502,800,502,500,649,800,500,503,501,282,178,800,500,800,503,428,500,503,500,800,282,502,800,500,503,502,621,500,502,504,800,16,800,800,500,649,649,500,500,800,800,800,649,502,501,500,503,504,506,502,23,503,776,500,800,502,800,649,649,502,123,800,316,800,972,800,649,503,503,503,800,901,500,282,282,503,500,16,500,649,649,626,503,503,502,501,282,500,500,503,100,503,500,501,800,649,430,800,503,501,16,502,502,416,503,501,501,501,649,150,503,501,502,800,503,503,501,503,502,504,503,649,16,504,800,800,504,500,422,188,282,649,503,503,502,377,500,107,800,311,503,282,500,107,503,800,500,649,503,500,503,500,282,503,649,649,502,72,649,501,500,649,649,501,952,501,500,503,285,800,16,649,800,500,282,282,16,891,649,800,649,800,503,503,800,195,800,282,501,501,501,649,501,800,282,420,282,800,502,604,501,800,128,800,503,282,800,853,800,501,502,500,800,502,501,934,800,800,501,503,500,800,800,503,503,649,503,501,800,501,639,504,500,16,502,800,930,800,877,190,500,500,283,282,504,649,500,503,649,102,500,649,649,502,649,800,501,503,500,501,587,500,501,282,500,649,800,501,502,503,503,282,800,282,501,500,502,503,16,502,800,649,502,702,445,170,501,501,800,500,500,88,800,649,502,649,501,649,649,503,501,501,282,800,649,16,649,16,500,649,500,500,503,800,503,500,908,503,503,502,282,503,537,649,502,800,503,800,649,502,800,16,500,800,502,503,503,500,941,153,649,501,504,16,649,503,494,131,502,732,501,502,500,649,800,500,649,503,649,502,282,800,976,503,503,609,649,502,500,503,649,500,649,503,724,800,501,649,503,316,500,649,501,501,16,9,800,503,500,16,964,649,369,502,688,501,237,649,502,649,800,500,800,31,800,649,502,501,501,500,800,503,558,500,502,649,649,500,500,649,649,500,800,282,800,502,503,800,84,649,800,800,872,501,649,649,502,649,503,501,649,503,500,16,649,503,503,649,502,503,699,500,193,503,649,800,16,501,503,502,649,500,758,500,503,282,503,502,649,800,502,502,16,502,503,705,569,503,139,500,649,726,800,16,502,800,649,502,278,649,649,800,649,282,581,503,500,502,501,800,800,649,649,501,501,482,16,502,502,800,800,800,500,769,649,963,501,502,499,502,282,800,1,503,800,502,501,800,501,649,291,464,800,807,16,501,500,500,649,503,142,500,501,800,16,282,501,503,800,502,503,959,649,649,503,501,271,500,649,503,501,868,669,800,501,501,502,800,502,282,282,954,282,800,16,504,282,500,282,282,266,340,501,500,500,502,500,649,800,502,800,649,500,500,16,502,649,649,502,500,501,503,790,314,282,500,155,500,649,502,503,297,257,649,501,502,501,649,503,649,501,705,800,649,270,649,502,500,501,282,107,527,878,649,501,282,800,500,500,889,282,290,949,282,649,800,166,800,503,503,800,502,503,500,649,649,501,499,503,501,501,649,500,500,649,282,800,501,500,16,620,500,500,501,16,503,500,107,502,503,800,504,282,16,649,502,502,502,649,500,16,649,800,503,501,501,649,649,500,649,16,502,282,503,97,503,502,500,800,501,170,282,649,800,503,282,501,503,503,500,800,800,800,16,500,649,713,502,649,502,127,501,649,800,800,502,503,503,282,501,649,503,649,649,500,500,500,282,503,503,649,503,501,498,503,503,800,503,500,501,501,500,500,501,502,282,589,500,502,503,501,751,800,879,503,463,503,800,457,503,649,502,16,500,501,799,501,96,716,800,800,800,501,651,649,501,800,503,503,502,808,908,800,107,800,409,22,649,649,800,41,16,500,501,649,282,800,758,282,502,501,800,503,800,800,800,502,504,649,322,500,171,501,731,500,16,800,800,502,16,16,503,649,649,503,500,504,649,946,649,800,311,103,502,503,103,500,502,649,260,503,502,503,800,500,501,800,282,500,503,649,500,649,800,503,503,503,282,649,503,502,502,700,282,501,502,502,649,18,800,500,800,500,503,874,502,503,649,501,500,762,502,502,501,9,503,649,500,649,486,503,805,503,402,500,502,500,649,649,800,800,500,503,500,500,800,500,502,502,800,649,649,502,503,500,502,500,502,503,490,800,649,501,501,800,800,502,500,649,502,812,649,502,800,500,503,500,649,428,800,503,142,800,800,800,649,692,500,649,800,502,16,293,500,501,502,649,842,649,502,432,437,800,134,500,503,502,501,649,503,282,502,501,649,649,16,649,500,866,800,403,503,500,504,500,622,503,500,800,800,500,502,282,800,800,219,169,501,504,502,112,510,800,649,500,800,740,501,501,649,504,282,935,649,500,500,504,282,501,503,501,649,503,501,503,503,616,502,649,501,649,16,800,500,503,501,502,501,282,800,500,496,649,500,800,649,800,282,800,502,500,503,305,503,502,502,800,501,502,649,500,501,500,500,503,502,503,502,282,500,733,502,501,440,503,406,501,884,165,502,502,500,502,501,501,106,502,800,502,503,705,800,502,500,103,500,500,800,502,500,800,503,501,800,502,501,502,502,800,948,500,503,502,675,16,649,282,649,501,800,110,503,500,500,649,500,800,800,501,39,800,503,16,17,500,503,503,649,502,503,503,500,502,502,502,503,535,502,500,501,487,800,502,107,800,501,503,502,500,488,282,500,500,501,502,649,16,501,649,501,649,503,282,104,503,649,282,502,760,800,800,282,800,800,282,649,500,502,504,501,649,733,502,502,649,502,336,6,501,649,16,649,500,501,501,512,502,649,800,282,649,501,649,500,800,581,503,503,502,500,494,800,839,500,503,800,502,502,233,500,454,800,800,649,800,282,500,503,503,282,501,649,800,500,502,282,501,500,649,800,649,500,501,103,800,649,235,6,502,800,107,501,503,649,98,503,500,53,282,502,502,502,800,503,649,800,282,800,800,800,616,449,502,345,649,649,649,258,503,800,856,500,500,649,501,800,503,502,501,649,800,501,501,86,649,502,502,501,500,649,501,503,502,502,344,16,500,503,503,197,500,500,69,800,500,501,649,16,501,501,604,503,500,502,501,57,16,501,649,503,800,282,800,500,649,503,503,503,800,501,500,282,500,503,500,501,800,282,800,502,503,641,800,503,282,60,282,500,16,649,649,501,649,16,649,406,16,503,337,503,500,649,649,649,502,501,299,649,502,500,282,502,500,649,800,501,502,503,649,800,503,157,502,500,733,502,536,668,500,500,649,800,500,61,632,501,800,503,503,800,501,282,800,500,800,500,501,9,282,504,500,282,504,500,503,500,502,868,500,501,543,500,965,255,649,299,649,800,500,649,502,800,502,649,649,649,800,503,501,502,503,282,503,282,500,503,503,501,502,649,500,503,800,503,800,503,282,97,500,800,503,503,500,800,649,649,503,500,800,800,282,502,800,500,502,282,501,649,502,501,501,500,800,502,115,649,705,128,649,282,503,742,649,500,348,502,800,282,501,500,800,501,500,649,800,282,502,502,502,649,504,502,502,502,500,800,502,503,500,501,500,922,800,944,42,503,500,502,523,502,500,800,503,500,800,500,501,649,478,725,649,564,649,502,800,501,502,502,500,889,500,502,800,502,649,936,59,501,503,800,503,805,500,282,502,800,501,502,282,282,503,649,501,800,502,972,282,357,502,500,501,282,501,500,616,800,649,503,422,411,501,500,502,107,16,282,800,145,502,649,503,332,500,500,800,282,501,651,503,282,501,800,364,283,800,282,501,502,502,278,168,649,501,378,503,502,649,502,649,500,282,500,503,502,649,501,649,649,800,377,649,501,800,503,561,764,649,500,500,501,649,502,503,503,500,502,501,800,500,500,649,502,181,502,502,649,503,649,501,343,649,107,501,16,649,800,503,500,282,282,282,500,502,649,500,503,800,800,649,833,502,380,800,500,649,649,503,502,41,501,800,502,503,503,500,501,105,500,92,649,649,800,502,800,649,649,502,649,501,282,501,103,649,502,800,501,517,263,501,824,502,500,501,278,800,503,16,166,800,503,504,500,501,500,718,501,800,504,649,501,479,503,467,502,800,502,503,649,929,16,501,282,501,756,800,501,502,502,501,800,501,501,800,800,504,502,471,800,649,501,800,501,705,502,500,503,16,502,500,873,501,621,773,649,503,282,502,503,649,649,501,502,503,503,503,800,282,502,649,800,800,649,501,365,500,503,800,503,649,800,500,501,502,502,500,500,744,501,503,284,501,502,649,800,503,89,16,503,503,649,561,282,501,502,619,503,500,16,649,800,500,502,500,500,282,649,649,119,503,281,500,430,282,800,282,502,500,835,441,649,649,800,502,16,800,800,450,502,500,503,800,875,502,800,500,282,501,502,501,649,26,502,502,502,649,501,500,500,503,500,500,502,800,501,503,502,502,503,800,500,686,800,500,503,502,649,683,502,649,500,504,358,500,800,502,502,282,16,500,500,500,504,502,501,800,501,16,80,503,594,649,501,649,500,800,500,501,282,649,503,501,260,282,501,501,800,501,649,500,501,649,502,504,800,502,501,502,103,503,800,501,282,16,503,503,800,502,649,502,649,503,502,649,282,500,501,16,282,649,501,800,282,503,649,800,800,502,800,503,800,500,800,708,501,282,649,503,502,503,500,502,503,800,503,649,844,858,107,502,500,503,503,502,501,500,103,649,502,649,649,501,503,503,503,649,800,502,800,16,649,501,649,62,800,282,503,800,503,500,502,503,503,800,500,503,502,800,502,500,800,988,800,502,265,40,16,649,83,16,503,196,503,16,649,123,107,502,282,282,649,502,500,500,501,502,501,952,503,500,649,800,501,637,502,500,424,649,501,451,282,800,502,731,503,504,202,282,282,501,800,501,502,649,28,503,501,501,282,500,503,502,800,504,649,503,910,649,800,800,649,503,501,503,274,503,501,800,649,282,649,500,858,502,500,649,502,43,800,229,503,16,500,503,282,282,500,502,501,800,501,849,780,68,503,800,835,501,16,70,649,500,649,503,282,649,500,282,434,502,501,503,504,500,503,500,649,503,649,341,923,91,502,503,502,800,282,108,119,500,502,800,501,503,649,501,503,503,502,800,698,282,800,282,500,500,649,501,502,282,626,502,500,800,16,282,266,503,228,501,649,500,649,503,272,800,154,502,649,649,800,649,282,501,503,500,107,800,282,501,201,477,16,503,649,800,649,501,800,503,500,500,800,282,180,500,441,503,705,115,990,500,649,649,619,500,500,500,282,500,501,501,800,501,500,500,503,500,800,282,503,500,500,282,800,503,501,950,503,501,649,485,752,800,282,282,800,649,649,649,501,501,951,236,501,800,51,800,16,501,504,502,363,501,649,649,501,503,500,501,922,500,500,126,649,649,16,500,503,16,501,649,253,470,543,502,500,16,501,503,502,503,800,502,649,649,900,649,800,282,282,649,649,500,282,649,502,800,936,780,503,500,800,800,800,500,503,503,503,502,649,501,16,103,16,202,107,501,16,649,502,500,502,238,649,295,501,649,502,800,501,649,502,501,500,502,503,906,649,502,501,503,649,800,501,502,502,502,800,282,502,500,501,503,873,501,800,503,503,77,501,16,800,502,800,800,503,528,502,502,107,705,504,502,503,503,500,649,16,649,130,500,503,705,800,500,507,800,799,500,649,501,501,500,503,502,800,500,500,501,503,781,501,649,852,500,800,503,16,649,800,503,800,649,502,502,500,77,649,500,282,649,503,275,282,503,503,800,503,502,500,723,282,503,502,503,705,501,502,500,932,800,282,800,500,502,649,800,649,501,500,649,916,800,502,282,502,502,500,612,504,649,503,502,503,680,365,649,800,649,16,501,501,502,500,649,501,800,282,16,649,649,502,503,500,502,215,800,16,800,292,502,501,800,502,649,649,500,501,502,649,282,500,282,503,282,901,503,649,800,502,649,501,800,649,500,758,649,503,282,502,35,282,649,150,503,800,966,16,503,503,500,503,500,282,504,575,649,800,800,504,501,282,501,502,209,503,594,503,502,800,502,133,800,502,649,503,500,500,500,394,800,501,707,501,502,500,503,503,502,501,103,100,502,500,534,500,502,649,502,869,800,500,501,800,503,649,649,501,501,107,649,282,503,501,503,597,438,705,502,282,501,501,974,503,282,500,353,649,800,501,502,800,800,800,502,800,500,800,502,16,501,649,282,16,501,800,500,501,649,502,502,415,282,500,991,503,502,800,503,9,282,500,503,502,908,282,649,500,361,502,16,282,239,16,649,649,504,649,500,840,500,282,502,243,502,500,79,930,103,649,502,40,879,500,282,504,16,800,565,500,16,502,503,649,503,800,503,501,503,501,649,501,501,502,800,503,800,500,502,649,503,503,800,500,500,649,730,663,501,500,501,502,503,504,149,16,800,503,800,514,433,800,501,800,615,649,501,649,503,346,282,107,502,501,501,282,503,500,800,502,282,502,501,502,800,501,800,282,282,500,502,707,100,800,501,503,649,501,503,501,649,234,649,503,800,800,381,502,503,502,500,468,501,501,800,502,501,502,500,501,649,501,502,649,502,649,487,710,800,800,369,503,649,503,500,800,504,500,501,500,649,16,888,800,501,800,649,478,800,501,500,503,649,500,500,503,502,502,502,500,501,16,282,502,800,504,502,502,282,649,800,503,502,649,500,503,502,649,502,649,282,503,501,500,502,502,501,649,800,649,493,500,103,800,649,649,500,503,649,800,282,649,500,503,501,501,934,800,282,380,649,247,649,503,501,800,502,501,649,500,502,16,107,282,649,500,500,800,649,501,503,800,800,503,502,500,503,501,800,800,501,503,500,16,649,649,502,800,500,800,800,503,502,503,800,800,712,649,500,501,502,502,502,501,282,205,502,504,501,906,16,800,503,800,649,800,500,282,500,649,503,282,649,800,16,503,502,649,282,16,500,500,502,500,800,649,501,649,649,819,502,502,713,649,501,275,500,807,500,649,501,503,800,503,500,800,649,501,800,800,500,807,16,282,800,800,501,649,649,468,502,282,146,282,500,246,649,649,500,498,107,502,503,503,503,503,800,500,865,500,501,649,502,349,800,16,501,502,500,504,500,500,500,447,500,800,103,428,616,503,282,501,649,503,500,502,282,649,501,502,501,800,503,503,502,649,502,500,950,502,503,649,649,502,649,501,503,646,502,800,649,649,503,504,649,501,501,501,649,502,16,503,502,282,649,282,649,501,282,501,502,500,16,649,800,503,800,800,502,502,800,502,502,713,649,503,500,103,649,501,500,501,800,649,260,800,500,800,282,502,501,282,774,800,649,501,282,503,501,16,355,503,649,800,502,649,649,502,219,800,503,649,501,500,800,502,800,503,764,282,503,708,649,878,502,800,107,649,502,240,502,500,649,649,33,682,649,503,501,503,16,800,501,502,803,503,800,501,502,500,800,201,649,649,501,503,282,649,500,80,649,800,502,260,501,800,649,282,800,800,16,503,500,501,649,502,800,503,501,887,649,500,503,649,503,500,501,503,71,502,800,501,827,649,63,705,800,800,502,500,800,209,800,502,503,501,800,32,800,500,503,649,502,649,501,502,649,800,503,501,503,976,800,503,636,16,502,502,500,800,800,500,500,501,282,500,503,501,501,649,500,502,501,502,501,501,800,800,503,16,503,649,504,26,502,312,500,800,422,800,282,503,501,103,502,545,503,501,501,504,502,649,800,282,501,503,501,503,107,649,649,282,504,501,800,663,800,502,503,827,503,282,800,501,649,600,500,705,500,649,64,503,282,502,501,502,800,215,649,503,537,504,504,502,800,800,502,16,777,504,503,502,696,502,800,179,502,16,500,501,690,16,649,500,500,503,282,747,502,649,800,649,800,502,503,503,501,501,97,721,501,64,503,695,649,649,502,649,172,649,800,649,503,282,502,500,857,500,40,501,500,649,35,503,503,500,800,503,649,800,503,500,700,502,502,502,837,800,16,649,500,503,649,649,282,649,717,501,800,503,649,649,500,800,500,500,649,501,902,501,649,503,502,649,688,649,502,800,502,500,501,500,503,502,500,649,502,800,282,502,936,500,502,501,16,500,501,500,800,649,504,502,649,502,649,371,873,800,501,408,107,452,501,501,502,501,800,16,649,503,800,502,800,649,282,502,503,501,649,503,649,502,649,462,220,504,500,649,502,282,452,649,502,649,669,107,649,460,466,751,644,770,282,501,501,800,502,503,800,789,500,800,282,885,501,500,501,501,502,649,503,282,751,946,503,800,800,502,22,501,649,649,282,800,795,800,800,726,800,501,502,800,502,500,501,502,696,503,800,103,649,501,649,503,800,500,649,502,523,16,649,992,649,501,649,282,503,502,504,502,502,16,350,862,500,503,501,503,503,800,500,1000,543,800,649,699,502,649,500,501,649,23,800,502,503,503,503,282,502,502,503,502,282,800,282,502,501,501,649,649,501,16,504,503,800,500,800,655,282,503,501,503,501,800,503,503,504,500,649,501,649,649,501,649,37,282,985,705,649,502,502,642,502,16,500,503,649,504,649,191,800,501,501,649,500,282,800,504,649,503,502,502,433,800,301,800,800,500,504,500,881,649,649,500,649,500,500,503,649,500,500,155,502,213,649,353,107,282,502,501,649,282,503,800,501,503,800,960,649,649,503,501,800,649,588,503,800,16,649,649,500,503,800,502,502,800,800,502,649,282,649,649,502,282,503,501,800,502,500,36,501,503,500,282,500,800,649,502,282,804,282,627,649,501,489,614,500,501,502,282,500,649,800,800,502,502,649,649,649,282,74,500,503,503,501,649,502,500,503,649,500,649,500,501,800,649,649,800,501,500,649,503,503,282,503,503,649,502,649,800,649,502,500,501,800,500,502,500,501,800,282,500,649,503,500,502,500,503,800,800,800,500,501,503,723,503,282,502,649,7,500,800,649,800,502,500,16,501,800,649,503,282,500,502,500,500,649,502,800,500,649,282,339,800,705,800,500,503,503,500,282,501,502,500,800,649,503,282,500,649,502,649,282,501,971,538,500,503,282,800,800,504,16,501,500,503,800,500,502,503,501,502,649,500,821,649,502,501,800,502,282,503,503,503,800,649,311,500,503,500,800,282,358,800,503,503,705,649,649,500,282,500,503,501,503,502,649,800,500,504,500,501,16,800,503,16,250,501,396,676,467,500,502,649,649,502,107,800,800,796,800,503,649,430,649,327,501,649,500,800,503,500,282,501,818,974,501,846,504,500,16,502,500,800,500,103,649,800,649,800,649,282,502,107,503,649,503,23,500,502,502,503,649,649,705,800,503,502,220,252,83,705,649,961,16,501,503,282,648,649,501,502,96,503,649,107,810,500,282,503,500,503,800,502,501,282,501,501,503,501,649,503,800,800,282,503,306,649,501,500,649,282,649,502,500,502,169,503,398,503,350,625,502,502,503,500,103,503,800,502,502,800,501,503,800,800,502,504,501,503,500,107,839,282,501,500,501,182,500,503,649,502,500,500,649,649,649,503,501,800,501,504,500,282,500,503,800,503,800,502,612,16,502,502,800,800,649,501,501,649,649,282,504,282,503,800,503,501,503,649,501,500,503,800,34,503,649,500,649,649,502,227,501,503,500,502,201,502,649,649,649,355,830,503,649,503,503,89,649,501,107,501,500,649,905,16,800,502,649,800,649,649,107,500,500,503,800,216,501,502,502,503,502,800,501,926,282,649,649,800,501,504,906,500,427,800,16,500,501,118,503,503,503,282,800,500,501,284,500,502,503,500,503,502,503,503,502,500,800,503,649,218,649,500,800,501,501,282,501,800,501,649,282,57,560,501,800,503,502,282,800,502,800,800,564,500,649,502,800,501,800,992,501,500,800,16,504,649,649,502,800,502,503,502,103,500,178,500,500,502,503,649,501,282,503,502,502,16,503,502,800,503,501,16,501,501,500,156,500,500,244,503,501,503,502,188,649,503,503,99,500,503,282,16,16,503,889,503,649,282,502,500,502,502,503,501,478,670,500,649,501,500,649,649,500,800,649,504,500,800,800,420,107,282,649,503,800,502,501,16,500,282,710,569,800,502,450,501,649,152,503,282,251,800,503,502,500,502,282,500,282,800,504,196,649,502,92,500,774,398,705,800,800,502,16,223,649,500,984,124,527,500,503,649,16,503,501,939,649,282,501,502,800,282,649,16,502,500,501,282,500,994,501,928,649,502,282,503,500,502,500,501,500,500,649,501,501,503,212,649,502,878,502,282,800,502,800,504,800,649,503,500,800,501,502,800,282,15,800,500,800,649,501,649,502,649,501,800,219,677,282,501,37,503,282,800,16,501,503,800,501,500,800,500,500,234,503,282,649,500,16,22,500,81,500,501,282,500,502,282,504,976,500,503,504,282,800,500,501,282,963,649,649,479,502,649,800,531,501,800,16,843,244,500,888,282,503,738,503,282,7,800,649,16,504,501,800,682,649,837,552,800,500,503,501,800,649,107,649,649,832,503,254,502,800,502,502,649,282,503,831,16,649,503,800,501,501,800,502,800,501,800,503,650,503,502,649,649,500,800,649,501,800,503,282,501,649,502,503,800,800,503,766,197,282,73,649,502,501,422,502,501,504,282,16,282,649,282,800,800,800,499,503,500,800,618,649,16,107,649,649,800,649,107,503,501,87,502,800,501,649,649,500,502,649,500,247,501,649,282,800,649,16,282,501,758,500,800,500,503,649,282,500,503,929,761,649,502,500,649,501,649,800,647,800,649,502,501,501,500,649,500,800,800,185,649,282,408,955,71,649,800,501,640,497,500,64,800,501,649,501,107,649,504,20,419,503,504,500,800,16,649,502,500,649,649,649,649,503,504,504,116,501,501,16,800,649,649,800,649,282,282,928,282,649,500,16,503,502,500,503,503,504,329,501,502,502,503,533,501,800,500,16,504,503,852,800,649,649,500,800,500,503,800,16,103,502,500,649,800,502,501,590,800,250,502,501,500,282,503,817,282,800,800,930,649,24,649,623,800,501,649,501,649,16,502,501,649,504,800,649,500,500,800,649,649,800,503,503,501,501,502,800,500,501,503,991,503,500,545,800,503,282,649,649,418,800,800,500,502,16,649,649,800,649,503,503,501,503,282,500,501,502,501,16,500,800,503,502,16,282,148,504,502,503,504,501,649,649,500,501,502,649,986,502,800,501,502,500,500,501,501,800,282,503,500,504,16,501,502,800,503,649,503,800,282,500,649,282,503,282,500,103,501,500,503,800,503,800,800,16,501,942,8,282,500,800,282,282,500,800,503,504,503,592,732,503,649,501,503,800,649,649,500,501,500,800,282,502,503,500,500,502,502,501,800,501,282,502,800,502,501,500,649,502,501,504,530,501,405,243,633,500,654,312,501,502,649,502,501,649,503,649,502,502,501,502,500,502,282,500,502,501,649,503,649,490,501,501,500,501,503,501,649,502,113,649,13,500,500,501,503,107,800,500,502,501,649,502,16,800,649,16,500,503,501,504,649,500,500,649,500,501,501,503,503,198,358,503,504,501,506,800,601,622,501,800,502,49,339,282,947,649,503,500,501,800,503,502,649,504,502,649,503,500,565,161,649,800,503,951,649,649,649,501,800,649,502,501,282,16,501,764,511,501,649,649,503,649,282,818,800,649,628,503,501,502,502,502,649,800,502,800,568,649,649,500,800,501,800,649,800,16,501,504,649,649,500,361,503,501,800,503,500,800,500,225,500,262,501,649,800,76,282,503,504,501,501,620,501,500,503,502,107,649,649,649,501,800,795,103,800,649,504,501,625,500,649,501,914,502,649,501,502,649,500,800,500,800,500,16,641,282,501,191,500,502,500,282,649,649,500,649,282,502,503,503,502,501,397,501,500,501,501,500,503,502,360,649,503,502,282,500,501,500,485,800,500,649,800,879,656,501,503,501,138,500,393,107,500,107,500,649,500,705,500,829,501,800,800,649,190,501,503,649,504,501,502,502,110,502,780,500,800,503,503,282,800,282,800,500,649,501,504,649,270,503,502,502,502,493,502,282,503,501,503,503,800,800,500,503,502,649,800,107,800,800,649,348,503,297,800,500,649,501,282,800,502,29,800,800,16,79,649,501,649,800,502,501,502,649,500,503,16,485,16,501,836,282,121,501,282,500,502,503,503,500,501,501,649,501,500,649,649,503,613,649,501,786,369,800,649,500,649,502,282,500,16,282,503,977,280,16,16,282,649,500,649,800,659,502,503,500,503,501,800,502,642,16,501,487,649,800,501,472,500,976,191,500,503,501,503,503,175,107,282,962,800,282,503,649,501,501,649,16,502,503,800,501,502,500,502,309,504,503,502,31,502,649,649,503,500,649,104,282,501,502,503,282,282,406,500,800,800,500,552,649,501,649,800,649,502,529,800,125,503,501,502,501,498,501,649,501,649,16,649,501,500,16,502,501,335,501,502,503,649,649,500,282,501,500,502,649,501,282,503,503,800,503,807,800,500,705,503,282,503,501,19,649,502,649,502,649,282,502,504,501,500,501,282,500,500,502,573,475,649,282,500,800,500,282,503,876,503,501,800,479,282,858,997,502,501,503,649,649,503,282,708,501,500,503,282,282,649,501,649,501,501,500,501,503,499,503,107,649,800,501,503,502,502,500,501,500,329,503,649,504,502,501,502,501,800,800,501,500,501,501,779,282,500,500,649,502,500,502,500,800,800,501,800,503,199,649,501,503,800,504,501,649,501,503,289,503,639,504,503,502,649,501,649,649,501,16,503,504,800,649,503,800,503,502,501,649,503,500,649,649,649,503,800,501,502,500,503,12,501,503,501,649,500,500,649,503,504,649,503,16,16,800,502,501,649,107,800,282,700,503,800,500,503,503,800,210,502,282,107,502,502,502,649,500,649,593,282,502,502,282,500,503,503,103,649,649,502,16,649,503,497,502,503,35,835,131,882,282,328,617,504,500,500,474,500,800,500,800,16,649,282,501,675,800,433,501,800,502,800,500,500,800,502,501,762,503,500,649,502,800,282,500,502,800,501,502,500,504,501,500,502,502,282,503,16,649,503,502,800,649,282,649,503,502,282,503,503,501,503,16,500,649,649,502,424,282,500,800,501,800,649,465,996,502,500,282,649,500,834,303,649,94,800,16,649,16,504,502,800,507,16,971,501,500,503,800,282,501,502,800,282,800,16,503,503,500,642,649,500,800,501,503,500,363,500,501,649,503,503,501,800,107,649,766,500,800,502,503,503,501,503,649,503,500,800,912,500,503,596,613,649,500,16,501,502,503,501,282,502,502,800,502,503,502,501,501,502,503,502,502,16,503,272,649,502,800,502,503,107,500,649,800,800,501,282,500,800,500,649,649,9,501,500,800,501,501,502,500,501,500,503,502,800,502,282,501,500,503,500,739,501,502,500,282,285,800,501,649,501,501,861,796,503,501,649,649,500,502,800,282,139,103,282,503,800,282,800,503,16,107,501,349,649,500,503,503,466,500,649,1,503,435,800,503,504,649,40,500,103,501,500,800,500,113,929,500,501,625,800,800,502,649,502,282,502,500,682,800,503,282,502,500,649,502,500,503,800,500,649,500,800,282,500,800,503,800,800,649,500,389,649,504,649,16,649,282,502,502,649,649,503,649,502,282,503,800,649,501,282,503,503,800,649,282,649,719,501,580,572,793,800,502,503,503,103,503,500,800,501,854,667,502,501,474,503,501,502,649,503,776,16,271,501,649,501,501,501,503,557,16,282,649,502,894,501,16,501,800,800,649,359,502,649,649,800,16,968,800,649,159,500,501,502,503,282,649,503,502,502,579,800,800,501,649,502,313,502,282,503,501,282,649,16,503,502,145,800,372,800,500,502,502,995,502,504,500,503,800,649,501,107,503,649,500,500,500,107,132,502,107,282,649,502,503,649,501,851,503,500,107,501,503,73,501,503,649,917,649,501,502,501,501,500,502,800,800,503,500,649,649,500,800,649,503,502,502,847,501,998,500,678,501,800,282,502,500,16,649,500,800,502,502,503,501,282,228,500,308,503,649,502,501,614,282,800,501,649,503,500,282,500,500,502,500,282,502,282,500,649,500,649,649,501,501,501,501,500,282,282,500,500,504,282,800,800,501,500,358,503,649,649,503,649,500,502,504,502,500,282,503,500,800,282,500,272,527,994,800,800,107,16,649,502,503,502,501,649,500,282,800,282,440,503,502,502,501,388,800,16,500,502,674,800,503,502,282,501,500,107,502,503,284,649,16,501,16,500,502,501,800,500,649,502,503,800,649,649,502,102,503,649,16,214,646,649,502,800,800,502,500,800,500,502,500,649,501,401,502,500,800,503,800,500,282,282,980,501,649,800,503,502,503,501,107,800,800,16,500,93,501,282,649,500,503,16,610,503,502,503,501,16,752,16,649,649,501,649,282,107,16,282,649,649,800,282,500,282,800,649,502,800,672,500,500,500,503,500,649,502,503,282,503,502,500,649,500,500,708,901,502,502,500,502,501,800,800,649,282,502,682,501,502,107,649,501,282,502,649,500,800,16,502,107,502,649,852,500,107,502,800,649,649,282,501,282,637,649,649,282,500,502,649,501,503,800,208,500,800,502,500,16,800,800,649,282,502,503,500,800,649,500,500,501,800,502,503,500,895,500,728,503,502,503,501,501,800,501,224,502,651,107,500,282,282,16,107,500,500,16,800,858,800,800,800,800,649,502,503,800,544,501,503,16,502,501,502,500,255,501,500,649,503,649,649,502,412,503,300,503,503,503,649,502,502,800,800,500,503,503,649,500,501,800,501,800,649,649,800,649,649,501,503,332,649,649,502,800,502,800,500,501,501,500,502,503,502,282,948,501,500,649,649,649,649,502,503,500,800,100,501,502,502,800,800,103,282,500,800,501,649,800,282,107,282,503,649,800,797,649,481,502,501,800,502,502,16,649,503,502,504,501,282,500,502,282,503,500,502,282,649,16,503,500,501,610,649,502,282,519,282,282,800,649,800,60,502,528,501,282,502,800,502,501,505,800,503,501,256,500,501,649,500,282,232,800,649,649,501,502,649,503,502,503,177,502,800,791,503,107,501,800,649,500,1000,282,500,500,800,800,501,503,501,282,500,962,502,800,103,500,800,800,113,501,503,501,500,800,500,800,800,649,500,800,649,502,38,800,112,503,649,282,282,649,649,800,107,282,649,800,501,502,296,500,500,503,16,500,16,649,16,292,649,501,502,282,500,269,502,800,500,501,502,504,500,501,501,800,649,504,502,16,649,500,282,501,800,502,502,503,501,503,282,500,503,282,502,503,800,800,504,129,308,649,16,502,503,649,503,410,500,500,501,800,800,649,501,649,504,500,503,323,800,800,649,282,501,500,649,800,800,501,502,500,282,503,800,649,16,800,500,503,501,500,503,503,649,500,649,500,422,500,501,500,800,503,282,503,800,500,504,282,649,501,323,503,282,502,502,502,501,800,800,503,282,800,649,125,800,800,501,649,395,502,282,649,107,500,501,503,800,800,502,42,500,649,800,579,16,504,126,500,282,649,756,282,502,501,502,800,282,503,502,807,649,502,732,649,807,649,649,500,800,649,649,800,282,502,503,800,503,502,502,800,500,500,502,500,503,503,502,649,500,503,895,800,649,282,501,389,282,501,800,800,649,502,503,649,748,569,800,500,503,502,500,649,503,500,800,800,800,502,16,500,500,501,649,502,649,501,503,529,501,282,282,649,789,15,500,503,649,107,500,649,500,800,503,501,649,649,500,800,649,503,502,800,502,503,501,500,503,501,501,800,503,502,800,856,800,282,800,502,282,503,800,800,501,502,815,649,334,503,501,500,282,500,649,425,16,500,503,501,649,522,800,16,531,501,861,649,649,500,502,502,282,800,649,800,502,500,500,501,800,503,502,649,502,805,649,649,502,502,16,365,504,506,800,497,502,502,800,502,501,500,649,503,800,282,800,282,501,800,503,503,502,649,504,501,502,800,500,501,503,185,16,502,16,619,392,800,247,503,501,649,649,964,501,501,500,649,800,800,503,503,649,678,502,649,502,503,282,649,500,16,800,800,502,649,501,503,282,501,282,800,503,502,2,282,800,500,501,503,500,382,800,502,500,502,500,800,16,800,649,282,991,502,500,500,824,502,501,800,501,502,500,282,282,501,807,649,282,800,503,500,501,282,800,800,500,800,178,282,282,649,282,500,504,649,16,502,776,503,503,503,800,649,800,503,500,282,282,503,282,502,500,649,501,502,500,503,649,500,800,274,587,282,103,502,501,800,649,649,502,16,502,502,500,34,282,502,649,282,800,107,503,503,129,258,800,503,800,501,107,502,500,649,502,503,503,504,282,466,501,282,649,800,16,500,649,16,282,487,502,500,649,501,514,632,500,500,649,599,501,503,503,649,336,282,502,502,502,502,501,501,501,282,503,502,665,649,500,501,504,800,282,500,502,800,800,800,501,649,503,502,504,16,800,501,282,501,805,503,500,500,503,503,502,503,500,896,503,500,500,494,649,726,800,800,501,500,649,969,800,501,719,500,502,503,504,649,500,503,501,107,503,475,500,501,800,649,649,500,649,16,502,939,502,667,502,424,501,503,502,503,501,16,800,711,502,12,800,500,800,16,500,649,500,649,500,282,649,225,16,649,503,503,500,800,107,76,649,501,500,282,800,107,15,503,502,649,503,503,800,282,500,16,282,502,649,649,282,282,501,500,500,503,501,815,103,501,502,282,77,800,225,800,501,800,282,649,500,193,503,502,800,16,500,500,174,500,649,501,500,504,16,8,120,282,501,577,799,501,282,800,16,503,504,502,503,503,501,502,649,389,501,501,649,500,500,282,649,503,897,566,322,282,649,503,500,282,705,16,800,282,649,800,501,282,800,501,649,941,502,800,503,800,649,282,649,431,800,501,800,500,649,842,503,500,649,500,503,503,16,282,800,282,800,500,649,649,503,800,503,501,504,500,501,649,501,502,503,649,500,16,282,652,65,282,865,502,282,649,358,800,800,501,636,649,500,186,800,501,800,800,16,503,503,503,16,502,649,282,502,649,500,800,500,501,502,501,500,25,282,649,501,179,282,649,501,501,502,502,502,503,503,501,503,503,282,649,16,502,500,501,503,107,502,500,501,649,501,501,503,500,800,800,501,500,501,503,282,501,800,800,503,500,282,800,590,701,388,800,282,800,503,503,502,800,500,501,503,501,500,800,800,800,800,649,500,503,282,436,502,800,502,800,649,692,501,500,800,752,501,501,503,503,502,546,501,503,800,501,649,800,649,792,500,103,836,282,282,502,501,763,501,800,282,503,500,501,16,649,649,103,501,107,503,501,501,16,500,502,502,502,563,649,282,96,328,640,649,503,502,502,502,814,504,500,503,800,362,501,107,408,649,500,800,282,908,649,501,800,500,282,503,800,500,800,501,501,502,503,501,649,501,800,504,522,282,800,800,976,500,500,503,649,501,282,649,800,282,531,501,500,739,84,649,649,501,282,649,502,16,282,501,503,16,649,747,16,503,649,501,502,649,503,160,500,800,800,502,500,282,649,500,649,503,502,503,16,503,502,500,503,666,501,649,661,501,800,282,552,649,800,503,501,649,649,500,501,503,500,502,502,502,282,282,503,800,16,800,500,503,103,502,502,282,649,800,502,501,282,503,501,500,16,805,501,800,800,500,800,800,649,178,500,800,800,16,649,502,503,501,96,414,502,278,503,751,290,16,500,800,501,800,16,501,649,327,800,800,800,500,500,500,649,872,16,282,649,16,503,503,573,649,500,500,649,501,565,504,501,504,773,502,500,500,502,825,502,503,649,503,503,503,501,807,649,812,282,649,199,500,400,503,503,501,503,500,649,502,933,800,503,649,500,502,501,503,649,503,649,501,504,394,676,503,16,282,69,649,103,649,500,500,502,654,501,649,502,800,502,503,500,282,503,800,501,16,504,107,503,500,649,503,503,502,502,282,800,502,501,800,800,502,500,649,500,649,501,149,649,501,500,502,503,502,501,800,502,500,256,649,503,386,501,282,501,443,503,757,125,282,503,503,500,800,502,282,501,502,282,500,800,503,503,501,282,282,500,800,800,838,500,500,155,800,503,503,502,282,501,503,503,800,500,501,484,502,504,800,500,828,500,500,649,264,679,504,999,649,503,892,501,282,208,148,16,504,649,503,503,502,501,504,16,800,503,695,504,16,503,649,16,800,649,16,503,649,500,518,401,282,501,317,282,503,500,649,500,501,503,16,649,502,501,502,649,501,369,503,501,282,503,500,503,502,800,800,502,503,16,649,502,649,649,800,504,282,800,282,501,500,800,282,800,503,720,800,500,502,500,649,735,502,502,100,637,501,503,800,642,122,500,96,282,502,502,503,649,504,501,800,807,501,500,503,800,800,829,501,503,500,180,502,800,503,500,854,500,800,16,649,503,649,500,800,421,800,438,503,649,503,800,282,800,504,500,501,500,649,500,334,503,501,16,16,649,500,649,500,503,800,503,800,503,631,502,501,649,502,800,16,649,800,956,500,800,501,503,649,502,500,282,500,500,282,649,502,282,503,282,800,282,503,502,126,502,282,800,800,502,282,500,800,649,800,800,503,649,982,500,705,503,649,502,503,502,501,502,649,649,502,649,865,282,815,800,649,649,500,501,501,502,503,500,504,282,503,503,800,451,500,282,282,503,800,800,500,503,500,800,282,16,649,649,502,503,649,649,500,800,47,83,649,800,500,800,865,502,500,799,649,501,649,501,504,501,502,503,503,503,503,800,501,503,800,515,282,502,503,503,649,367,649,750,502,500,504,500,649,502,504,800,800,16,282,502,800,601,16,800,649,502,501,800,502,649,501,282,282,649,501,503,502,800,503,500,649,16,500,261,500,171,424,501,694,282,503,500,500,649,502,800,502,500,503,501,800,800,649,89,649,502,649,622,500,502,16,273,502,282,16,941,501,282,501,501,649,282,502,800,282,502,500,282,649,500,800,649,705,503,282,649,501,502,500,972,501,282,282,503,800,500,800,800,678,502,500,649,502,503,502,800,800,503,501,502,649,501,500,282,501,1,649,282,502,800,16,413,800,500,502,955,503,800,502,282,282,800,800,649,649,282,501,649,503,500,16,503,500,649,502,500,282,800,800,649,107,502,501,503,649,501,800,800,800,501,500,503,802,888,501,500,649,649,649,501,503,885,502,800,502,800,502,282,502,147,800,503,501,501,649,504,502,500,502,282,500,282,503,282,500,500,503,282,649,649,501,501,282,482,501,649,800,502,702,800,800,501,16,282,502,270,501,649,800,997,503,502,500,649,16,282,500,107,500,503,500,503,16,349,649,500,502,503,502,996,502,503,500,800,500,863,501,500,500,500,500,501,503,282,501,103,649,502,880,664,649,800,500,503,713,898,107,16,800,501,503,503,502,502,503,649,500,500,503,800,500,800,500,502,282,501,500,503,800,481,800,502,800,503,500,237,198,65,282,502,649,649,500,503,501,649,503,501,502,501,502,500,982,607,649,807,282,502,839,800,800,502,716,502,500,278,519,649,800,503,649,683,502,501,502,502,649,501,649,649,501,649,502,501,800,503,649,500,649,647,16,502,800,761,282,282,503,540,503,16,807,500,501,502,800,500,451,282,282,16,273,800,800,502,503,649,504,503,16,501,503,503,282,500,466,649,500,502,500,500,282,501,501,500,649,500,800,800,96,500,649,501,500,504,500,501,500,800,500,501,502,504,500,649,503,800,527,503,437,501,282,500,500,503,501,800,282,500,282,537,503,500,503,649,501,800,282,800,800,503,649,800,800,503,502,649,483,649,800,660,500,16,282,517,800,501,282,800,500,501,503,501,502,502,83,501,800,644,800,800,649,502,500,800,800,503,503,502,500,282,800,282,500,918,107,649,649,503,752,502,649,16,500,500,800,649,649,282,851,282,500,108,503,800,608,501,502,649,16,649,503,800,501,282,649,649,800,503,800,488,800,502,502,500,503,282,649,316,502,500,800,501,649,649,282,502,800,503,501,800,502,282,502,649,500,500,800,800,282,502,649,54,800,818,501,917,501,500,800,800,503,649,502,16,633,800,501,503,16,502,649,501,500,503,502,501,502,800,500,371,501,500,59,502,649,501,501,503,502,502,95,500,503,16,649,502,649,649,503,800,503,502,501,502,800,500,816,649,851,503,282,649,994,143,503,500,212,800,500,16,503,502,282,501,649,501,502,800,501,649,502,282,800,502,503,282,503,800,500,800,500,649,649,800,503,800,501,649,800,504,502,800,649,501,16,501,190,118,500,503,501,502,177,282,800,502,800,786,501,231,501,503,501,500,800,501,16,282,501,502,502,16,649,502,800,503,649,501,502,502,100,503,615,837,800,503,503,16,807,502,503,502,282,800,655,503,503,800,501,16,807,503,800,800,500,800,501,16,503,523,503,816,501,550,649,649,282,500,502,16,500,501,500,501,500,500,649,649,803,502,501,282,800,649,800,504,500,800,649,282,754,649,502,282,502,649,500,502,500,501,502,501,500,460,282,502,500,501,800,502,503,107,501,500,501,501,667,500,649,502,501,501,66,649,502,500,800,56,504,501,501,501,502,800,16,502,503,878,503,642,800,16,16,503,16,649,500,16,800,503,649,282,502,503,649,503,649,649,502,501,378,800,649,502,343,501,984,649,649,282,502,649,649,282,649,501,649,502,503,500,800,800,552,956,500,873,503,480,503,800,501,503,788,501,800,504,501,501,502,500,501,800,500,965,7,500,501,538,500,107,502,501,667,16,282,71,501,503,503,359,500,501,501,586,107,500,503,800,503,13,326,282,392,16,503,16,501,649,649,649,800,500,500,500,282,500,500,502,503,649,501,500,649,502,501,502,649,503,323,500,211,800,649,502,503,649,503,649,502,502,501,649,282,800,107,649,500,501,800,503,500,501,282,500,282,502,800,800,398,282,800,503,800,502,502,862,501,502,502,649,503,649,503,500,502,282,501,503,502,502,649,800,800,501,502,800,503,503,504,504,502,500,502,503,800,503,665,800,16,14,649,502,800,800,500,282,649,282,503,500,16,502,649,436,502,500,501,503,500,500,501,501,503,800,282,341,783,684,500,502,649,16,800,274,501,503,671,282,282,501,800,282,502,282,501,502,848,135,16,503,649,705,502,649,502,192,503,503,800,503,503,503,800,501,800,502,503,649,800,800,800,800,16,500,379,649,800,503,649,501,150,503,503,503,800,80,502,500,800,649,801,649,502,500,800,649,503,503,156,800,649,502,649,502,649,649,282,744,800,503,103,800,500,800,501,649,501,649,502,649,800,504,649,800,500,501,733,649,649,649,282,500,502,502,649,800,282,649,282,503,282,282,501,500,649,501,500,800,502,800,874,879,800,502,133,502,502,503,649,282,500,282,800,502,800,501,287,500,649,502,502,282,502,502,502,649,501,500,800,502,800,501,649,705,756,501,800,500,63,502,503,500,649,800,800,649,500,800,500,503,500,800,800,800,107,16,649,16,501,500,867,501,503,500,907,500,502,504,607,800,502,501,149,16,282,649,378,506,502,502,503,503,503,16,282,503,282,503,649,500,502,649,502,802,282,649,282,980,500,836,800,500,500,501,502,501,705,649,799,649,800,503,503,502,500,16,649,999,660,649,649,500,110,649,501,800,500,649,500,502,502,500,649,649,504,649,503,649,500,230,649,850,800,282,649,649,500,501,501,118,800,500,502,501,503,500,500,500,502,503,500,500,649,502,645,500,501,502,503,649,800,649,649,502,504,649,503,501,800,649,797,502,501,649,649,500,502,410,500,282,503,16,503,500,649,800,503,504,16,502,282,649,500,649,885,649,500,107,800,16,649,800,500,503,503,503,800,800,282,995,649,800,503,660,828,503,800,503,649,502,282,282,282,282,502,649,500,501,993,16,16,502,649,501,800,636,501,500,649,502,800,500,713,502,500,800,500,282,502,501,501,886,800,500,503,503,503,501,649,649,649,891,964,606,501,503,340,503,677,501,649,878,502,503,282,500,800,649,649,501,503,649,16,501,501,501,501,649,16,502,503,800,908,500,282,649,800,500,799,800,474,503,800,502,758,825,504,500,500,282,723,649,503,555,16,500,649,502,649,800,800,500,503,500,501,282,500,800,502,800,501,800,885,970,282,16,500,500,500,282,282,800,500,800,503,800,649,503,964,800,795,502,800,159,500,502,502,503,16,16,16,500,464,16,500,649,800,500,16,503,501,800,800,500,501,598,501,500,501,501,625,800,649,502,501,500,649,503,282,733,502,800,502,152,502,157,501,282,356,501,501,800,499,282,503,649,501,282,649,501,502,500,649,649,504,501,503,500,502,503,500,649,504,285,282,500,91,800,503,500,649,503,649,649,800,649,800,503,501,502,501,139,847,282,282,133,501,264,500,503,500,500,501,206,649,502,39,649,502,411,800,501,795,649,649,282,502,800,501,503,503,501,501,481,800,501,500,649,800,500,500,500,800,800,917,501,107,800,504,800,501,107,18,503,501,800,649,16,504,503,502,501,800,502,500,282,282,503,649,649,500,503,649,503,502,501,500,81,800,380,503,800,501,502,800,800,501,649,501,500,503,780,282,500,649,502,503,503,282,500,500,62,800,503,800,649,501,501,502,282,501,800,800,282,649,500,500,649,502,282,504,649,800,649,282,501,800,746,800,649,503,503,800,649,502,502,649,501,649,502,503,502,649,501,503,282,500,501,649,502,500,500,502,501,107,503,501,502,800,503,504,503,800,282,345,500,503,800,817,504,800,107,800,503,503,502,43,503,800,503,500,16,362,282,16,503,503,800,503,502,100,503,504,500,501,501,800,649,133,501,502,500,501,502,502,504,502,649,649,103,500,649,800,501,282,800,649,872,501,501,800,649,282,502,503,500,500,282,282,500,500,649,25,649,800,502,503,503,504,500,16,500,500,500,502,502,501,800,504,820,503,800,501,500,800,501,800,502,502,500,776,501,501,738,706,800,16,649,502,501,502,16,500,646,503,500,282,282,16,107,502,501,927,649,282,800,502,501,649,800,500,800,384,295,282,503,500,500,502,943,501,649,502,502,800,503,649,243,500,800,282,649,500,800,503,504,500,504,400,649,800,503,501,282,504,16,800,800,502,649,502,595,649,500,649,501,649,500,500,649,157,500,503,800,282,502,503,502,504,107,503,502,800,800,502,501,649,502,501,16,649,800,282,16,501,829,500,649,500,262,800,902,500,103,649,649,800,211,800,501,203,282,500,282,282,649,434,800,503,501,800,800,649,501,649,800,649,282,501,501,282,503,501,418,649,649,800,282,800,502,800,649,16,282,282,282,501,503,504,501,783,502,500,502,16,502,800,500,649,800,649,503,502,800,502,100,500,350,500,649,502,501,649,282,502,649,504,16,503,649,800,857,501,649,503,500,502,800,282,800,649,282,504,404,632,500,649,649,385,500,501,500,584,800,501,282,649,500,500,503,800,282,502,502,649,282,107,502,502,16,232,800,503,500,500,807,649,282,16,503,501,500,500,503,502,503,649,16,800,500,845,669,501,502,501,500,500,649,649,502,800,800,501,501,800,282,800,602,502,502,800,800,282,800,502,282,500,724,500,500,282,671,649,649,817,500,788,649,649,502,501,649,800,502,503,504,501,500,649,500,502,503,501,800,503,403,416,500,800,502,800,503,503,800,501,282,746,649,503,800,500,501,649,503,936,502,649,501,502,503,500,203,500,800,128,503,504,502,113,12,649,503,501,800,503,139,859,501,649,612,501,501,503,282,282,422,501,649,503,800,502,502,282,649,500,800,800,500,16,501,800,885,282,816,502,282,800,503,503,282,800,503,800,649,282,649,501,719,502,568,502,282,187,503,502,500,649,649,800,501,800,508,800,945,649,212,649,168,503,800,649,800,649,500,649,504,649,800,501,16,502,963,503,504,800,800,813,800,500,501,649,806,800,501,649,649,501,800,501,503,502,503,282,649,502,290,282,359,649,16,649,649,500,800,282,500,501,503,500,502,282,503,501,500,503,501,501,800,502,502,501,500,501,800,649,2,503,800,800,502,800,800,500,524,282,282,782,282,500,500,501,800,800,501,501,16,649,358,503,236,500,16,500,800,500,502,800,502,731,800,16,275,800,501,500,503,183,501,333,649,800,16,500,758,501,501,649,649,649,500,800,800,501,502,649,502,800,500,649,502,649,649,106,282,649,595,502,649,282,502,649,800,501,500,503,500,30,800,501,649,502,282,503,107,649,649,503,500,282,504,503,963,503,649,503,16,16,503,412,649,164,502,848,649,282,649,326,649,282,503,501,649,390,503,800,501,107,629,16,282,502,500,649,800,502,282,503,500,649,800,503,500,800,503,501,500,16,500,649,503,800,500,800,503,502,343,649,501,800,501,282,502,502,503,649,501,501,500,649,502,282,282,800,282,504,502,649,649,800,501,502,501,282,502,649,503,87,502,282,282,501,649,800,502,53,503,501,500,282,500,501,282,800,502,800,503,711,649,500,501,649,634,502,501,107,921,645,649,649,471,504,800,800,503,501,501,642,282,500,500,649,282,16,503,503,501,500,501,500,16,800,500,500,501,649,294,800,503,501,502,800,649,800,504,500,282,502,589,501,502,800,800,6,501,500,649,502,800,649,501,16,649,282,503,800,500,500,107,649,500,227,500,800,649,501,800,649,917,113,107,502,649,800,649,845,500,503,502,758,501,107,502,502,500,503,282,195,500,800,642,502,500,649,501,501,649,500,504,649,504,107,649,16,649,800,282,500,722,586,503,270,503,932,649,282,502,103,649,16,881,501,800,800,502,800,16,497,282,800,225,523,15,282,503,500,800,107,649,649,800,503,500,501,16,649,282,501,500,501,649,800,800,649,800,37,501,500,503,649,502,503,502,503,501,503,502,800,649,649,504,649,500,65,282,502,649,503,503,282,503,16,501,502,649,501,800,501,800,649,502,503,500,16,141,282,501,649,800,820,500,138,800,87,500,503,501,500,649,502,282,501,282,502,800,800,500,979,800,800,500,503,503,312,501,502,500,649,502,501,501,649,503,503,500,16,502,282,503,503,16,800,649,500,501,500,503,503,502,83,500,503,503,500,501,292,503,503,282,800,282,925,503,686,502,504,501,649,649,503,500,282,649,800,470,500,649,502,665,36,282,503,800,103,649,552,501,502,500,800,119,800,501,503,501,282,649,282,500,500,503,502,502,16,500,282,649,502,503,649,502,502,800,16,649,503,501,107,501,353,501,649,502,503,800,649,649,501,503,503,501,282,501,800,500,501,649,502,126,501,502,800,883,503,502,282,503,501,649,502,503,503,800,502,503,500,501,500,282,282,103,501,649,500,501,282,800,502,501,800,282,417,649,722,107,502,282,502,503,800,107,501,501,800,500,649,800,500,649,794,502,16,503,504,503,649,649,649,915,582,282,649,500,503,649,502,502,502,800,800,500,503,500,501,501,800,282,500,107,502,282,800,500,974,649,502,501,649,450,800,800,551,649,649,503,649,216,800,800,800,503,649,502,16,531,307,503,502,500,282,579,800,502,800,503,502,282,500,500,800,800,649,107,16,502,649,649,501,501,500,503,500,503,282,501,649,500,501,578,649,503,649,649,649,281,502,241,13,800,752,649,500,800,800,649,503,649,622,800,500,282,107,503,500,501,504,950,502,800,502,503,502,503,16,16,501,503,649,503,78,649,282,501,649,503,649,282,16,282,649,501,501,500,407,500,800,282,282,500,649,768,503,500,282,501,502,501,649,649,502,500,501,649,501,503,501,500,500,502,800,16,501,16,800,800,649,649,800,784,502,705,800,649,800,503,500,800,502,502,609,5,282,530,502,174,502,649,500,502,800,649,503,833,502,282,503,501,282,501,501,749,502,649,649,16,800,282,16,502,500,503,501,800,649,500,800,649,800,501,503,502,649,501,800,275,501,500,503,501,502,500,107,138,500,503,553,649,705,501,107,502,500,500,502,502,282,800,649,503,501,434,649,800,500,649,500,282,502,282,585,800,502,501,501,422,501,649,282,700,649,282,500,501,851,502,500,996,800,503,282,649,282,501,649,800,282,558,800,501,503,503,501,502,649,800,800,503,282,800,649,501,501,503,500,159,282,282,282,501,649,503,649,800,503,282,800,772,321,502,501,649,503,500,180,500,503,16,502,800,503,61,800,501,503,800,501,649,503,345,456,501,500,800,502,282,503,649,503,502,800,502,16,503,502,649,503,16,649,656,500,502,121,503,502,800,476,501,502,500,594,503,500,107,502,500,501,649,649,504,503,503,282,502,282,800,914,501,501,282,673,504,800,649,500,649,71,988,800,500,333,708,500,500,649,649,800,800,747,500,282,501,500,503,500,501,659,502,649,502,263,501,800,800,766,649,501,649,928,800,500,282,649,504,504,798,500,800,298,503,156,16,800,282,282,282,649,800,997,649,501,503,103,736,16,800,501,800,500,501,500,500,800,649,501,501,282,500,503,500,282,800,501,649,649,800,502,501,501,501,503,800,800,501,502,609,501,502,503,502,502,649,649,500,504,649,282,501,501,501,502,502,500,502,10,502,800,649,501,500,800,503,501,503,503,278,501,500,16,250,502,504,649,282,190,429,500,502,527,501,667,503,502,503,500,500,6,504,649,800,503,800,500,501,503,649,649,282,503,502,664,503,16,500,500,117,503,503,501,649,500,503,808,800,502,16,649,501,503,500,16,503,503,800,292,97,800,500,16,800,800,649,645,502,649,649,16,502,501,501,502,282,501,501,730,800,800,649,502,800,500,503,23,500,649,501,282,906,649,502,501,977,500,649,500,501,800,500,503,16,98,420,649,503,800,502,502,764,157,734,809,501,162,423,248,501,501,503,502,500,800,503,503,495,282,16,16,501,501,800,501,502,994,500,502,500,501,649,649,282,500,649,649,501,800,800,800,500,502,800,800,502,649,501,107,649,501,501,503,16,500,282,800,500,503,501,800,800,503,800,800,501,649,800,501,800,503,107,502,864,649,800,16,501,302,503,649,22,500,649,610,103,501,649,431,502,282,38,504,255,500,800,454,282,501,800,500,500,501,500,748,503,649,649,107,501,967,469,649,649,205,148,502,503,503,500,501,503,649,500,501,800,800,500,500,500,800,503,500,282,503,501,501,282,500,649,649,502,502,502,500,919,504,500,920,500,500,282,500,503,501,503,500,445,387,282,502,649,501,800,800,500,502,786,501,501,649,501,282,282,800,563,504,500,500,649,501,800,522,501,649,500,800,503,282,16,502,502,500,501,876,501,501,282,107,501,503,107,649,649,282,503,649,310,649,500,649,502,282,501,923,501,504,282,501,500,500,800,500,649,110,431,501,502,500,503,501,504,502,156,503,406,800,504,503,503,501,501,503,214,502,282,503,503,282,800,502,503,500,503,282,504,503,779,503,502,352,503,800,503,502,16,502,649,503,501,800,502,800,800,649,690,502,502,282,500,915,501,649,282,79,500,501,649,626,502,503,649,500,800,649,871,502,502,904,500,790,649,836,770,501,45,503,649,500,500,800,878,503,501,800,500,500,193,500,502,649,500,500,649,782,500,502,503,503,501,649,282,800,503,705,282,800,501,328,282,500,996,211,16,649,800,907,355,282,754,501,800,82,503,800,502,282,501,16,649,500,501,282,990,800,503,503,502,154,16,16,649,649,500,659,800,502,500,649,800,501,501,192,800,649,502,502,500,800,502,649,616,501,649,282,503,501,502,501,500,503,503,504,500,636,287,501,800,800,649,282,501,107,649,800,502,282,500,503,800,649,837,503,649,500,99,800,503,501,649,502,16,502,144,649,501,800,501,649,501,500,16,649,503,649,503,501,752,282,132,501,800,282,649,649,502,800,502,72,503,649,503,213,504,502,500,501,35,502,501,299,800,649,16,981,649,282,501,501,503,501,501,107,502,16,649,501,800,502,502,503,649,502,500,800,502,649,500,503,502,282,800,501,502,649,649,649,503,500,800,649,282,502,519,16,501,649,503,501,503,649,649,500,282,800,981,649,502,502,503,16,502,501,800,503,800,16,800,503,722,501,282,649,16,503,282,198,282,282,503,501,501,503,503,16,501,907,501,442,529,800,501,502,282,16,502,103,501,800,502,838,502,503,360,500,936,501,501,649,107,503,16,500,16,503,500,503,502,503,800,502,649,502,501,282,187,500,503,565,80,503,800,501,500,503,501,649,836,500,500,502,800,282,503,503,500,800,503,502,501,800,502,500,800,501,800,502,501,16,800,112,501,503,282,800,649,649,282,799,503,427,500,502,800,861,500,649,282,503,107,500,828,649,502,503,556,282,800,500,107,503,501,500,16,649,500,532,649,503,500,800,282,500,282,501,501,649,503,501,16,500,649,501,500,649,800,649,500,502,649,649,649,502,501,501,649,103,502,800,800,282,800,649,500,649,500,500,800,500,500,16,501,503,282,503,501,800,501,501,501,503,502,503,503,500,501,501,219,500,800,649,649,502,800,502,503,502,503,503,35,260,503,800,649,502,282,906,391,800,649,502,503,501,500,649,800,500,503,800,502,649,107,500,502,503,503,649,800,800,282,774,282,649,500,503,920,588,649,503,500,503,649,498,722,926,800,503,143,500,282,503,502,649,501,500,500,501,338,800,540,504,800,282,504,800,649,503,504,501,649,502,501,893,502,503,800,501,615,500,934,649,649,500,503,501,282,500,374,290,800,502,501,500,649,504,502,279,998,502,71,503,501,502,807,649,501,800,649,943,347,649,503,800,500,500,504,501,502,501,112,501,501,282,121,287,502,502,501,299,500,649,504,74,86,502,870,734,501,649,202,282,282,99,800,800,606,401,649,502,503,504,16,800,609,500,147,500,282,501,501,183,501,800,500,501,472,800,282,503,800,502,997,502,500,501,500,16,500,573,501,649,503,252,15,500,649,503,931,501,500,500,502,500,649,649,282,800,563,501,649,282,503,800,445,800,282,500,800,364,800,501,800,501,773,767,501,500,16,500,503,219,503,16,649,649,649,503,74,16,684,649,502,260,16,503,503,500,502,503,503,649,500,649,649,649,282,649,503,501,502,502,649,649,709,649,500,501,16,705,504,500,649,501,208,500,800,649,800,500,500,800,500,502,649,500,637,649,502,807,854,800,736,501,226,503,16,500,649,503,500,649,501,16,800,344,500,503,16,649,282,502,649,503,649,501,9,502,501,955,502,282,502,105,501,292,554,501,800,649,800,208,503,649,649,503,800,832,282,503,282,502,500,863,502,800,649,503,16,39,502,649,800,16,107,502,500,500,649,426,649,370,503,547,825,502,500,800,800,282,501,503,69,107,502,800,800,649,503,16,282,503,800,8,503,491,501,502,603,500,649,649,802,501,649,502,800,503,800,502,800,366,502,501,800,282,649,649,626,282,16,502,503,501,503,282,649,16,800,649,282,800,501,800,107,800,502,649,45,502,282,501,415,503,504,500,649,500,800,649,16,501,466,79,503,500,282,199,501,282,502,179,500,649,501,649,504,503,501,837,500,496,800,503,373,649,501,16,282,800,649,504,800,501,502,789,500,500,502,503,502,649,501,502,282,800,503,16,185,649,502,500,800,503,503,501,800,649,504,800,800,504,336,139,800,500,800,500,649,986,16,503,758,649,503,501,88,649,501,501,503,16,282,502,504,503,800,107,500,649,502,724,500,500,500,503,649,282,285,391,649,503,502,800,649,800,282,503,502,569,107,502,502,800,955,503,502,649,502,649,800,100,749,503,734,305,503,502,800,500,287,500,503,432,500,16,503,282,500,500,649,800,103,501,501,282,649,16,829,500,27,503,503,503,800,501,401,503,503,502,501,503,500,501,503,282,25,800,500,503,800,800,426,502,282,282,501,253,500,503,649,818,800,503,282,501,649,502,503,282,107,800,500,503,649,649,503,503,800,501,690,504,503,501,503,282,16,282,503,282,500,649,502,649,502,501,282,502,502,649,26,500,800,540,16,501,503,502,320,732,502,800,649,362,503,503,500,500,503,500,500,657,504,282,282,503,502,929,34,649,500,501,500,500,501,20,500,501,501,502,649,800,503,500,503,501,649,282,282,800,107,502,501,501,503,501,502,282,503,502,501,800,502,500,502,739,501,500,363,502,502,838,649,501,501,649,800,16,503,501,501,502,500,503,16,282,501,649,503,816,800,503,741,649,501,800,800,16,649,649,649,503,800,800,16,501,503,502,502,500,501,107,500,282,503,500,503,503,649,649,502,649,649,16,800,649,504,502,282,800,649,500,478,503,850,503,501,649,800,501,500,502,800,282,649,392,649,800,409,501,501,800,649,501,501,800,501,503,282,800,502,649,501,503,123,502,649,282,649,500,649,502,161,214,212,282,504,447,649,501,800,501,649,503,204,800,649,649,778,800,503,800,116,501,503,282,3,503,800,501,501,502,500,282,504,649,107,282,500,503,501,501,502,504,518,501,649,107,501,649,282,500,649,800,503,503,502,282,649,500,649,501,282,649,502,282,503,500,500,503,649,500,109,649,644,501,612,282,500,649,904,501,503,800,500,649,649,282,650,649,500,503,649,800,649,500,502,282,407,502,503,501,504,503,502,800,649,16,154,503,649,501,501,800,995,500,503,649,563,800,16,299,54,649,649,501,503,649,853,649,673,800,800,710,800,649,702,501,501,503,282,566,649,500,16,282,800,107,649,800,649,800,502,504,503,502,500,503,500,649,503,561,502,800,16,500,649,502,649,649,649,649,500,696,502,740,800,503,502,16,503,504,503,503,282,503,500,502,282,649,501,500,503,919,503,649,500,501,990,501,282,282,800,503,16,649,501,800,500,500,649,503,500,103,282,501,501,113,800,738,502,649,503,629,282,800,649,500,843,800,504,503,502,282,649,503,502,501,504,500,500,930,503,282,649,899,501,800,501,361,502,501,16,502,649,500,501,501,501,503,502,503,282,983,16,534,502,501,501,500,501,500,503,556,501,622,282,282,649,500,751,384,500,282,502,500,720,503,282,502,371,800,963,282,503,649,800,685,800,332,800,799,502,800,16,501,800,502,726,503,501,503,501,502,376,502,503,107,16,502,800,500,503,800,282,282,800,436,501,177,649,501,500,800,503,649,800,503,500,800,282,16,500,800,649,841,282,500,502,16,503,282,107,501,800,501,501,800,800,501,501,500,500,16,649,31,503,771,649,502,16,502,503,282,503,282,120,500,800,500,502,503,501,504,282,282,649,800,163,503,503,282,282,649,824,800,651,503,501,16,282,502,503,501,282,800,502,503,800,232,187,502,502,282,580,16,502,501,501,500,503,16,501,282,282,16,500,649,924,649,500,800,649,649,800,160,458,282,503,502,107,282,649,502,649,92,800,649,501,500,500,502,501,502,502,503,501,501,502,930,800,649,500,502,501,502,502,663,503,16,649,282,800,501,500,800,800,502,503,649,800,800,500,649,503,503,800,500,861,502,500,800,800,800,500,938,952,501,16,674,504,501,503,649,649,433,649,500,16,16,502,500,500,502,503,649,503,500,501,500,502,800,500,503,501,503,502,800,403,800,282,503,502,502,800,649,502,501,259,500,502,500,503,421,649,16,800,501,705,649,500,649,502,649,107,500,923,282,785,500,327,10,282,500,441,503,533,501,503,406,188,649,649,812,107,800,649,502,503,502,649,502,500,503,335,503,501,502,500,649,502,886,40,16,501,351,800,797,282,649,649,879,800,502,649,107,649,254,503,800,282,500,800,500,500,479,502,504,500,500,282,502,501,500,83,500,501,903,649,502,501,501,503,800,501,502,800,500,800,501,504,649,949,800,800,502,926,500,103,501,500,137,501,504,500,649,649,705,800,800,503,501,649,501,503,649,596,504,800,500,800,503,500,502,107,500,649,649,834,503,502,649,501,282,649,649,503,197,500,503,500,501,800,502,800,503,501,500,649,733,502,649,394,501,688,501,502,800,477,302,649,501,503,502,800,500,503,949,501,621,649,943,649,503,502,503,502,503,906,282,501,800,649,502,786,649,504,502,500,503,649,500,800,502,503,503,503,215,800,282,282,800,536,649,986,282,501,502,800,25,75,502,500,501,501,20,649,649,569,800,500,502,800,649,500,503,800,500,800,501,800,610,504,282,503,501,60,649,929,503,500,501,500,500,649,649,282,501,16,500,122,501,503,282,16,500,502,500,500,502,16,502,500,502,800,503,503,932,501,503,502,282,491,16,649,500,649,500,502,800,504,800,503,501,500,504,649,649,11,282,501,501,502,500,34,503,500,282,250,503,262,649,501,500,501,800,500,501,501,18,282,501,503,800,430,649,503,649,800,502,500,500,800,16,800,800,502,800,282,649,501,800,800,402,503,800,107,500,500,107,503,649,16,503,175,502,503,500,504,502,649,800,649,503,500,501,500,503,501,800,502,503,503,16,282,16,649,501,502,282,649,800,504,831,800,649,502,500,760,649,829,282,800,501,282,503,503,500,501,500,760,68,800,501,500,649,800,502,750,649,503,502,800,502,500,502,501,500,649,501,501,501,502,500,503,503,649,503,501,500,649,500,501,655,502,800,649,649,800,800,500,500,502,502,282,282,500,500,502,502,282,535,649,502,500,500,649,501,502,649,500,502,566,500,756,504,282,500,500,502,282,649,269,500,649,500,502,501,649,503,282,503,649,500,649,800,282,503,502,800,500,503,310,504,501,501,16,649,16,614,500,502,931,500,500,503,500,649,16,282,146,503,503,282,500,7,800,503,502,987,500,502,504,503,502,503,649,503,649,649,649,649,502,500,282,500,502,503,503,501,503,500,500,681,649,503,503,501,500,649,800,504,501,853,800,502,501,503,282,800,649,500,502,649,800,501,800,649,501,800,501,694,500,571,215,502,800,503,898,800,500,502,649,502,282,502,502,501,502,800,120,282,800,649,501,298,502,502,502,927,649,800,649,501,649,502,661,503,500,800,502,649,749,503,282,502,800,649,800,395,503,649,649,501,500,800,501,503,800,501,503,500,500,502,501,500,649,800,502,103,502,639,500,982,502,503,503,502,502,501,800,800,800,107,502,800,500,502,502,649,502,705,649,503,500,503,503,42,800,649,502,502,501,503,249,282,503,902,649,649,800,277,943,503,504,503,503,360,282,137,501,800,723,502,500,500,503,500,800,502,572,800,800,500,800,500,282,503,605,16,503,502,649,282,800,282,502,503,500,502,500,282,503,500,800,282,16,500,501,282,501,502,649,503,282,649,500,800,649,501,502,282,501,282,685,649,800,501,501,800,503,500,824,502,800,503,501,502,575,503,504,649,800,280,503,800,282,500,649,16,965,159,800,282,896,502,649,501,100,502,503,500,503,553,500,649,800,16,269,800,502,502,503,800,649,800,502,502,503,203,649,502,349,800,500,35,649,282,649,500,649,501,500,503,800,649,856,408,502,500,501,502,500,649,282,282,800,503,501,500,502,800,502,504,502,503,800,502,501,502,503,649,501,16,503,501,800,504,800,15,800,866,649,501,692,500,649,500,16,500,649,501,502,16,649,282,500,20,649,500,503,501,277,800,503,502,708,965,503,103,818,103,502,649,800,16,503,501,412,503,649,502,282,17,649,500,726,800,501,16,800,500,800,502,502,503,303,860,800,649,501,800,649,501,649,282,796,502,502,649,815,649,800,215,500,503,503,500,504,503,500,282,649,502,501,503,500,501,503,501,649,107,502,502,501,503,16,800,800,502,502,649,649,500,501,649,800,504,16,503,800,502,800,107,649,503,501,500,501,500,16,255,501,503,649,502,800,800,501,710,503,800,502,504,502,502,500,443,317,282,107,503,800,282,800,502,501,502,649,800,501,649,806,288,800,501,503,282,286,829,502,503,225,503,282,649,503,502,800,800,800,502,501,649,800,103,501,16,503,501,16,502,800,500,280,761,800,503,71,649,500,501,500,847,500,501,503,649,502,503,800,500,501,501,501,502,16,800,649,800,266,993,503,107,649,500,502,800,500,500,500,330,502,16,501,501,282,501,213,503,800,501,282,649,502,503,800,502,796,938,800,282,501,501,800,500,500,800,503,282,504,502,800,500,501,503,501,501,502,649,649,503,282,800,502,501,503,503,501,190,649,501,501,503,16,502,476,503,501,503,503,693,501,282,800,649,705,107,503,503,500,501,502,819,195,503,501,16,502,800,649,800,800,282,502,501,502,502,649,500,800,501,501,449,503,649,800,503,501,649,502,500,282,800,282,260,800,641,282,501,502,800,282,800,500,282,500,16,800,504,649,649,282,282,500,502,503,502,501,502,500,500,502,16,649,649,503,649,800,503,77,502,649,800,503,501,503,501,501,282,502,800,649,800,82,502,500,16,719,503,500,501,503,348,282,16,502,649,649,649,800,501,501,296,800,170,502,800,503,596,501,501,500,502,503,502,502,500,800,500,566,503,726,503,502,649,500,501,503,649,282,503,500,800,501,649,800,649,800,16,345,502,282,500,800,501,649,649,501,500,107,590,800,500,649,932,649,649,501,8,501,502,503,503,800,503,501,649,502,503,500,800,616,500,502,500,800,663,649,502,503,554,501,649,244,649,501,503,16,612,649,503,502,500,649,282,649,282,282,649,800,649,504,800,649,501,503,649,282,502,503,16,800,800,502,800,800,500,500,800,649,500,800,500,162,800,501,800,501,16,503,501,503,502,649,500,501,56,503,500,502,735,826,502,800,628,500,504,351,500,606,500,502,503,500,501,649,649,800,649,504,282,800,502,282,800,503,500,282,504,800,16,501,30,800,282,800,800,649,282,500,282,500,502,500,649,649,504,800,503,501,649,503,804,16,502,500,107,501,16,282,239,722,502,152,800,649,800,649,500,649,503,800,503,500,503,875,501,501,282,334,259,120,282,6,668,500,968,504,892,800,500,502,800,502,16,649,500,502,503,282,16,649,501,800,836,649,800,500,800,501,502,501,502,502,282,649,502,649,649,503,503,649,649,430,503,282,502,16,502,649,501,504,502,502,503,800,502,282,500,500,800,282,16,503,414,800,125,282,119,504,649,282,632,800,500,623,502,184,107,500,800,503,501,649,800,501,437,831,231,503,500,800,445,649,649,107,503,107,501,649,500,641,541,501,503,800,107,800,388,503,502,282,500,500,649,800,500,990,800,501,649,501,500,504,649,800,800,502,501,503,800,649,501,931,503,502,649,649,503,649,502,503,705,282,807,500,503,15,649,134,982,478,500,503,502,336,800,107,649,16,649,502,649,800,500,240,500,649,995,649,800,501,500,649,501,74,501,503,501,800,16,131,503,500,501,649,800,502,34,282,800,649,16,501,855,186,16,649,504,503,500,16,503,649,649,800,503,282,501,800,800,501,800,282,800,792,800,649,800,16,504,501,500,503,649,503,504,650,16,16,282,502,800,100,502,282,503,501,649,502,503,500,409,504,282,503,231,282,800,503,861,294,501,800,649,282,16,649,776,502,503,501,800,649,503,501,282,501,503,500,103,649,800,172,107,502,800,282,501,503,16,500,912,501,649,503,379,503,502,282,502,282,503,571,282,16,501,800,300,761,503,282,800,94,501,503,800,16,649,649,503,649,800,503,294,107,503,503,800,503,502,800,240,502,501,500,500,326,219,503,37,846,800,502,149,586,649,501,500,503,501,503,501,209,500,502,500,501,472,503,502,502,16,282,649,501,649,800,800,500,503,503,800,800,504,649,800,501,800,502,501,501,800,649,502,500,97,501,438,649,800,500,501,502,503,649,503,282,501,4,878,282,800,504,502,282,500,16,500,649,649,282,800,503,139,107,504,649,501,649,282,502,477,501,504,649,501,503,502,649,503,500,500,501,800,501,502,503,800,649,649,503,503,474,282,500,502,500,503,501,16,649,504,503,800,51,282,282,500,503,372,501,501,502,141,649,501,16,800,649,501,502,649,16,503,649,502,81,501,800,503,44,282,10,530,502,500,800,282,501,649,500,500,503,502,501,649,501,769,500,282,282,501,502,641,501,503,503,504,800,502,649,562,500,501,282,503,800,282,668,800,502,649,57,502,16,649,800,282,501,649,616,502,902,677,607,953,500,502,502,649,649,501,226,215,50,503,649,503,501,649,800,504,501,363,800,503,649,500,501,501,21,649,500,502,649,504,649,419,582,920,500,649,503,502,649,649,503,649,501,800,502,419,500,800,500,800,502,284,501,503,500,800,502,420,501,501,800,503,502,500,649,502,502,502,503,800,800,282,501,501,500,500,502,500,436,282,649,502,800,649,622,500,107,649,503,501,500,503,500,282,282,500,649,501,503,502,157,502,501,16,687,503,501,500,906,765,649,965,282,550,282,501,54,800,500,800,577,503,502,501,502,503,800,282,282,649,807,502,800,501,649,503,500,572,377,500,16,282,429,649,963,800,282,493,500,500,502,282,502,649,515,501,501,502,223,500,107,500,800,501,800,501,649,970,500,503,649,503,921,501,697,503,800,800,503,502,251,112,16,502,502,504,649,500,409,903,800,282,503,735,800,502,800,800,649,504,501,649,16,501,500,502,503,502,500,501,500,649,849,501,500,649,16,649,502,502,282,503,282,800,949,282,501,503,502,501,503,800,649,800,500,501,16,800,705,321,800,500,800,503,501,501,501,224,800,501,500,800,649,800,282,800,507,107,649,282,503,649,500,447,501,800,282,282,282,501,649,503,800,16,649,502,503,503,800,503,500,16,501,339,503,500,501,800,800,501,800,387,500,800,649,596,635,501,282,998,800,503,282,800,912,502,503,503,911,502,503,502,282,502,500,500,501,649,924,500,800,282,502,107,501,500,500,224,649,501,282,500,500,500,6,500,282,500,800,16,107,500,500,500,503,649,501,501,282,800,78,500,649,503,501,16,123,500,502,800,500,649,16,501,503,500,502,800,668,649,282,500,800,498,502,800,500,649,649,649,501,500,649,500,800,503,800,502,503,374,503,282,103,501,500,501,581,500,800,188,649,282,500,16,500,501,16,344,800,800,500,501,800,216,16,503,785,503,800,934,502,800,16,649,503,800,502,500,800,473,282,649,500,800,16,199,16,800,107,504,501,500,800,500,16,649,282,800,503,282,649,501,502,501,650,503,501,282,502,502,500,501,20,800,501,649,800,503,501,501,282,914,500,282,501,447,500,501,282,800,649,501,503,501,502,502,500,649,502,649,500,800,282,503,649,500,16,649,501,649,503,500,16,503,107,501,502,116,649,501,502,502,502,395,800,502,334,500,503,117,501,691,504,501,500,800,500,500,503,649,502,488,649,503,885,800,759,649,500,503,501,503,649,705,282,16,502,649,503,649,831,800,649,502,649,16,503,500,504,501,503,649,500,501,16,313,107,501,446,503,501,649,503,800,500,800,800,500,80,500,500,282,502,501,503,500,16,282,16,502,503,649,16,800,501,800,649,649,822,500,503,649,596,500,972,800,649,384,649,501,16,501,500,800,503,800,282,503,503,502,649,807,501,483,800,501,501,800,502,503,502,282,501,501,800,502,649,800,649,504,800,649,149,16,800,198,649,502,501,800,502,500,503,649,503,501,1000,720,501,501,500,504,649,500,282,649,501,16,503,502,649,67,500,502,500,502,16,502,500,800,500,501,502,502,649,500,500,680,664,878,800,502,501,800,282,649,649,500,502,12,649,704,501,70,649,503,800,502,649,649,705,501,282,504,282,500,502,500,501,503,500,649,501,388,800,16,16,649,501,649,500,500,33,503,501,504,502,500,800,649,282,501,503,501,16,503,107,503,500,233,502,502,509,500,503,501,501,649,501,500,282,500,800,195,503,501,748,800,727,974,800,502,649,800,501,800,501,500,502,649,738,500,500,503,501,500,503,503,649,502,351,649,649,800,500,800,800,649,501,282,800,500,503,503,501,502,282,800,800,502,500,500,502,375,503,503,500,576,800,800,649,16,502,501,800,501,138,282,800,707,914,503,501,500,800,503,500,500,503,649,800,338,800,16,502,282,282,503,500,501,501,649,501,503,503,501,16,800,500,649,500,114,501,649,649,502,501,282,502,502,825,504,502,649,502,501,503,649,503,501,503,500,649,652,649,947,9,800,503,501,335,800,502,502,649,670,325,368,500,282,282,800,500,800,649,395,502,16,503,649,800,503,16,501,500,785,800,500,282,500,800,649,649,503,629,718,503,501,502,502,282,501,500,649,501,503,501,501,501,502,501,678,282,502,16,503,800,197,502,502,503,501,502,503,649,800,800,500,502,583,778,504,282,318,500,502,16,502,649,649,500,800,649,800,649,503,649,500,800,649,107,500,800,649,649,800,503,503,27,840,500,911,282,503,500,503,501,228,649,502,503,500,649,448,500,649,500,16,503,503,734,282,320,800,501,800,104,800,502,87,800,16,800,500,502,800,649,800,800,649,750,502,500,800,239,484,501,915,501,503,501,649,500,800,502,502,500,502,282,501,800,800,503,649,501,649,503,800,800,503,800,501,504,649,16,649,16,649,649,649,501,667,503,649,503,501,503,502,502,649,135,504,503,503,649,501,87,817,503,502,500,800,649,502,282,282,503,649,500,502,501,649,503,501,554,282,502,501,503,649,503,649,649,503,501,649,676,502,649,503,499,500,502,800,500,503,649,503,649,500,502,800,744,649,500,16,500,500,500,500,503,504,298,503,504,501,500,503,649,501,938,503,501,197,503,282,800,800,503,501,500,800,207,180,502,800,502,501,800,689,502,800,156,800,500,503,500,800,500,800,503,857,625,282,16,500,800,260,282,500,500,800,501,500,649,502,501,649,501,503,503,503,103,279,500,16,107,800,502,500,16,503,501,502,502,503,502,649,501,45,800,500,503,649,405,648,16,500,503,107,501,282,503,800,500,646,502,501,16,800,501,502,502,503,501,501,503,504,876,502,800,502,502,103,800,501,539,649,282,502,502,503,501,502,649,282,910,649,800,519,800,502,649,282,101,502,503,282,705,501,757,800,222,800,500,503,503,501,282,800,282,503,89,800,502,503,282,679,649,649,500,500,800,107,500,516,502,649,643,500,658,501,800,78,800,503,503,502,501,501,502,503,500,107,107,282,800,365,800,502,800,800,649,500,282,611,800,502,500,503,501,800,821,16,16,649,453,500,503,503,503,800,800,500,502,649,500,503,500,502,502,501,107,520,649,501,503,272,649,282,282,503,800,830,16,501,501,566,502,500,501,503,503,649,503,282,501,725,800,800,502,22,500,503,504,501,800,503,503,649,501,500,649,800,500,503,501,800,45,889,800,800,502,276,500,800,16,502,649,282,649,649,126,502,800,84,649,800,649,649,542,107,649,282,972,16,500,502,282,630,502,503,562,503,800,501,501,503,883,502,503,800,500,282,502,649,282,500,649,502,282,996,405,501,16,649,282,35,501,16,500,502,800,502,986,502,502,970,603,500,800,649,234,800,800,503,502,474,318,500,554,800,502,502,649,500,846,800,800,503,282,859,800,649,500,780,504,502,881,649,500,500,242,502,749,502,501,501,501,649,503,649,649,503,649,800,107,649,500,282,107,501,282,800,800,502,800,800,340,501,800,503,502,649,282,500,501,500,502,649,502,649,800,503,16,649,188,800,503,800,600,500,501,502,500,470,502,800,649,503,264,502,800,503,500,649,502,800,502,800,501,500,649,800,16,502,800,649,501,504,503,504,282,500,501,800,500,502,501,282,504,501,800,408,500,502,649,243,102,282,800,501,282,800,503,501,282,282,945,501,282,649,500,800,60,649,800,500,500,649,557,501,800,500,800,282,500,448,649,649,800,500,718,500,282,649,840,504,500,503,501,649,649,649,36,502,503,502,503,261,504,501,282,282,800,501,800,351,502,741,502,503,500,502,502,501,501,827,500,282,501,501,502,502,16,502,502,501,501,502,504,446,503,503,649,501,800,16,710,800,502,501,355,502,500,501,500,504,504,800,502,500,500,649,501,800,500,502,501,282,503,282,800,501,729,502,500,800,501,191,649,501,502,800,502,501,502,503,500,501,282,649,501,503,503,282,282,649,16,649,500,502,500,503,649,793,800,800,504,502,503,501,649,16,649,649,649,822,501,502,649,649,800,282,500,649,501,649,282,282,501,502,282,706,800,107,501,502,504,800,800,501,503,800,500,503,467,501,800,502,503,502,649,503,800,649,500,500,501,800,909,503,500,503,800,501,800,282,501,501,500,107,501,800,282,501,503,800,649,119,503,841,800,16,103,282,502,649,887,500,103,456,800,501,501,502,500,502,226,504,800,282,16,161,282,500,107,500,501,16,282,500,282,501,16,502,16,504,800,800,501,502,502,800,282,500,502,500,501,829,649,501,649,500,500,502,500,800,502,503,500,103,282,649,463,649,800,800,16,282,501,800,500,503,800,501,374,503,502,649,376,503,16,649,849,503,16,800,500,503,649,649,500,501,282,501,502,503,649,503,502,649,282,500,501,800,16,503,501,840,500,501,800,246,507,501,502,501,800,649,503,500,502,800,948,500,649,503,800,500,16,100,500,282,800,503,649,649,649,501,649,800,503,502,500,560,800,251,503,500,103,649,649,502,501,503,504,502,501,649,501,500,800,800,800,649,649,157,502,800,500,649,800,16,800,649,508,649,501,503,503,16,800,501,500,649,800,800,503,649,501,649,503,503,948,500,503,800,947,501,800,649,800,501,502,282,503,502,800,649,501,107,500,760,503,649,16,502,503,502,801,742,800,503,503,16,800,649,502,43,800,500,503,503,503,503,16,604,773,500,103,649,649,503,649,503,800,501,800,500,504,500,107,501,649,501,800,503,495,502,800,800,800,501,502,503,649,503,503,16,546,282,649,501,800,501,165,502,500,800,504,502,503,800,649,282,649,800,503,500,503,908,554,800,800,503,963,500,800,282,502,16,649,649,282,649,800,500,501,649,503,649,501,282,800,504,282,502,503,502,107,649,500,501,16,16,746,642,649,502,501,503,501,800,502,501,500,282,500,503,503,126,502,16,649,501,502,649,502,800,500,868,182,502,502,800,502,946,282,649,282,501,500,282,501,500,503,16,502,649,800,800,501,502,478,500,282,501,500,502,503,503,16,802,500,500,800,502,282,649,800,16,501,531,403,800,649,501,16,649,800,500,500,503,501,649,501,16,649,649,282,502,649,282,51,649,800,751,800,649,649,501,502,501,16,16,649,649,16,503,503,503,500,800,503,503,800,503,503,504,799,500,103,500,800,503,502,282,503,868,501,500,504,500,500,649,502,649,500,503,16,500,503,501,502,501,282,800,503,282,800,226,500,500,649,501,504,500,463,649,649,649,502,502,501,500,502,501,282,502,501,502,800,503,649,800,503,503,107,502,16,503,649,83,502,282,649,282,897,500,649,800,502,800,503,503,649,800,649,879,649,502,649,800,502,16,649,503,502,504,502,503,855,501,16,502,503,107,503,501,500,717,503,502,502,501,504,503,501,800,500,503,597,500,500,282,649,649,823,501,501,500,649,649,502,501,500,503,500,500,502,503,103,800,800,500,500,503,500,502,501,800,800,502,502,649,501,238,500,561,972,800,501,500,503,502,291,659,649,368,500,649,16,500,502,800,503,500,500,800,800,502,800,503,138,501,503,502,182,503,16,800,502,500,503,649,103,16,800,504,800,500,354,800,649,503,32,503,649,282,502,649,537,16,503,502,649,107,501,503,800,800,1000,502,87,503,800,282,502,649,502,800,304,649,640,503,649,934,500,502,784,446,282,800,502,502,966,502,800,502,16,242,649,503,800,502,800,649,501,800,649,503,649,649,800,16,501,503,502,504,616,502,348,504,500,502,502,649,282,502,800,502,16,502,501,501,649,282,500,503,800,500,649,501,502,282,500,171,503,800,800,800,503,282,800,503,502,501,187,282,64,592,500,502,500,585,705,800,800,800,282,649,649,502,800,649,502,502,502,993,501,961,282,282,800,503,502,512,501,649,16,501,500,282,500,800,501,800,503,800,282,501,501,765,502,503,800,501,282,500,503,649,118,800,800,502,502,103,800,500,503,800,649,502,503,552,800,649,500,502,649,503,658,503,649,500,502,649,649,649,501,800,649,502,975,503,649,649,503,800,501,649,500,500,800,503,501,282,502,800,800,502,282,800,282,500,502,800,517,800,502,503,500,502,800,649,500,649,501,800,47,470,800,800,282,503,503,502,500,800,800,800,501,282,649,503,503,502,502,800,800,800,16,649,504,800,501,649,800,502,107,356,649,649,504,500,501,982,800,502,500,502,649,502,503,649,500,500,466,501,800,282,503,503,502,500,800,503,504,800,501,649,502,800,800,800,503,800,502,800,649,336,282,762,500,684,501,501,504,704,471,649,282,502,664,282,502,503,390,502,503,861,649,502,109,649,800,501,503,503,800,503,500,502,500,502,107,501,649,503,502,48,502,83,800,502,502,800,282,282,649,501,270,503,188,500,800,504,46,502,502,500,500,501,282,501,500,649,800,500,500,103,501,501,16,503,422,800,488,649,649,502,500,16,649,503,502,377,282,501,800,412,502,800,649,649,649,400,502,500,649,500,800,501,649,501,501,15,800,940,356,282,502,789,503,502,502,500,502,800,986,503,573,342,800,282,207,502,503,649,649,501,800,501,623,649,997,294,502,894,503,501,501,640,649,502,502,500,800,503,500,584,649,978,501,649,503,502,504,800,502,649,502,500,500,800,649,649,504,187,800,502,546,649,501,649,502,800,958,649,800,503,800,100,282,282,282,503,500,503,501,282,502,805,502,800,500,500,107,502,950,500,501,503,267,500,502,282,501,502,501,282,503,282,501,800,440,503,501,282,649,282,500,502,501,501,800,649,500,503,616,120,502,800,649,282,502,501,503,500,16,503,503,649,500,501,501,500,649,800,16,16,282,503,500,501,649,502,501,16,500,502,503,800,649,500,800,800,649,502,282,503,649,502,344,390,800,502,649,500,649,800,649,500,282,287,501,649,16,502,534,503,16,800,504,502,282,500,800,503,502,503,649,500,502,649,800,800,500,16,785,117,502,800,501,800,16,502,282,800,503,16,501,503,649,502,107,649,500,800,503,649,800,500,502,503,16,107,501,503,649,503,503,503,16,466,649,500,16,649,501,500,649,211,502,282,800,800,503,282,696,16,649,501,501,589,500,502,502,16,360,500,501,282,282,504,503,800,649,282,333,501,500,502,502,800,503,503,800,800,503,740,652,891,649,16,500,649,52,282,500,95,800,413,282,501,503,9,282,501,800,649,282,800,502,265,649,649,503,800,503,800,800,800,502,503,807,501,279,500,502,282,649,16,500,502,649,503,421,500,282,800,503,502,16,420,500,500,500,502,800,500,255,649,502,282,649,649,501,501,282,502,392,503,800,649,919,502,649,649,502,503,502,502,502,501,282,282,649,16,503,500,649,16,504,24,800,649,800,503,826,800,503,649,441,649,423,503,503,800,501,501,500,282,503,282,502,502,649,501,649,800,502,501,502,502,501,107,501,501,503,503,649,501,649,282,500,800,728,649,503,273,500,503,502,800,503,501,500,800,500,800,890,504,649,16,500,503,537,282,800,705,649,501,500,282,501,649,800,533,800,800,502,501,16,649,501,500,800,503,800,649,282,502,649,800,503,196,16,503,502,500,502,501,649,282,649,502,502,649,501,16,503,502,501,800,501,800,16,503,649,800,501,501,649,492,501,503,967,800,502,800,501,649,800,649,107,502,800,710,227,502,107,501,501,502,502,502,800,649,500,503,500,501,800,501,708,502,502,503,502,500,501,282,800,503,616,500,649,800,800,800,530,818,503,502,500,503,502,503,502,649,828,502,503,16,649,800,503,501,501,649,649,502,20,501,501,800,502,502,324,656,232,501,282,800,862,282,501,649,282,502,16,16,503,800,282,502,502,503,502,503,113,649,502,503,16,649,501,500,345,649,502,458,502,501,502,800,503,649,649,503,649,501,502,800,502,649,502,501,800,503,282,503,649,649,501,504,103,501,240,183,800,649,401,16,503,501,503,502,503,500,503,503,500,503,501,503,500,502,502,500,800,503,40,649,285,501,501,800,500,539,800,500,502,504,501,705,800,800,99,501,649,282,282,16,500,800,502,649,503,500,501,503,503,887,501,502,503,16,800,502,503,502,500,95,800,567,649,800,501,501,468,503,502,501,16,501,503,16,701,500,800,500,800,16,800,649,500,760,800,649,503,500,800,502,469,502,501,500,502,503,502,413,16,502,503,501,500,282,503,500,649,503,504,230,501,502,800,503,649,502,649,503,500,656,602,503,501,501,29,503,800,502,649,501,501,502,502,800,800,500,16,502,503,800,504,854,649,226,16,800,729,649,500,785,500,504,649,501,36,649,767,649,502,876,500,1,502,503,649,282,95,107,501,649,539,633,649,649,503,538,800,800,501,501,503,649,649,501,500,502,184,500,502,501,800,503,107,702,282,917,282,779,91,359,501,649,502,101,501,501,649,501,347,16,800,543,500,649,800,502,501,800,282,500,800,502,947,502,922,502,503,649,502,800,16,503,503,899,500,501,164,800,503,502,501,649,649,800,878,502,93,873,800,800,500,502,800,674,502,503,458,649,800,800,500,365,549,282,503,800,996,503,500,16,500,649,502,501,838,502,282,501,503,501,502,800,649,501,500,800,502,282,16,503,501,16,502,649,800,282,504,501,800,649,282,282,503,503,503,649,503,282,649,502,588,500,744,501,282,503,502,800,800,16,503,501,500,603,800,503,500,500,649,800,16,501,502,800,649,649,649,649,503,500,16,800,781,501,649,360,800,503,501,502,649,282,800,501,503,502,800,502,728,16,849,649,649,800,500,16,649,270,503,341,800,503,502,282,800,800,800,500,800,500,800,500,503,36,503,545,16,500,800,503,501,500,503,504,800,500,501,503,501,502,500,503,501,800,502,800,800,503,649,800,282,502,649,500,500,800,501,503,500,502,649,800,504,503,282,501,282,662,649,502,501,503,78,503,74,649,502,800,16,500,500,649,800,503,502,800,500,503,503,501,800,16,649,502,16,800,649,649,649,649,502,503,107,800,282,649,159,16,500,800,649,501,800,282,502,503,16,747,502,800,282,227,761,149,287,502,501,504,500,282,503,501,501,503,107,502,674,649,657,800,501,501,800,503,800,800,267,800,800,774,502,800,502,500,282,946,501,503,876,500,503,800,502,500,500,800,649,800,504,800,500,502,924,16,503,649,502,282,282,503,502,501,503,500,500,282,503,16,502,501,937,503,503,502,503,800,832,800,503,259,501,501,649,800,501,503,800,502,649,501,500,502,502,501,800,503,501,800,800,649,800,649,503,500,800,502,502,502,502,640,500,649,16,503,800,942,503,282,74,282,801,501,282,500,501,800,503,501,501,504,502,500,501,649,502,282,649,800,500,282,16,484,16,501,282,501,800,430,649,753,649,503,502,504,502,800,649,649,503,800,500,800,502,649,500,282,501,501,422,800,500,503,649,107,503,649,705,503,649,649,649,649,800,800,282,282,501,502,800,282,500,607,800,502,503,500,503,503,621,502,706,501,649,107,503,502,7,649,503,501,946,502,649,800,502,649,664,504,503,649,800,500,502,503,502,502,503,649,277,502,502,800,100,500,501,502,282,503,502,649,503,800,501,500,502,500,503,679,379,338,501,500,282,282,800,667,502,504,503,501,503,104,501,503,501,939,501,800,649,218,107,503,502,756,282,503,502,800,649,500,800,503,800,501,503,800,662,359,812,649,649,800,503,649,807,503,800,245,36,554,649,282,503,649,546,715,501,265,282,501,282,282,503,848,501,982,800,800,502,282,800,282,282,502,800,500,649,502,618,21,649,800,800,16,502,501,501,776,16,503,500,502,502,800,16,503,649,16,649,503,501,502,282,503,649,503,800,503,282,502,144,282,500,503,800,500,640,775,282,502,501,502,503,282,502,502,800,16,413,649,500,501,501,501,241,503,430,501,500,800,646,502,649,389,282,503,282,107,500,501,500,800,649,649,800,649,16,649,649,510,504,16,771,16,742,501,501,649,500,503,500,504,800,503,501,502,504,500,502,500,501,501,649,649,10,502,501,503,503,500,500,800,748,503,649,578,649,501,501,501,282,503,60,471,501,500,649,800,501,16,500,500,500,107,282,800,16,500,504,502,497,500,503,503,501,657,503,392,785,649,502,503,501,800,503,503,503,800,828,501,970,502,282,501,500,502,501,502,851,504,502,133,503,501,500,282,282,503,504,500,502,503,649,503,934,649,800,789,500,800,282,500,37,502,800,502,417,280,504,764,503,282,649,501,522,282,501,502,502,501,649,501,777,282,500,734,501,16,503,649,649,500,503,503,502,282,500,502,282,800,500,649,501,649,501,500,170,282,649,882,501,649,282,649,502,649,500,800,500,800,800,503,503,500,649,649,500,800,502,721,501,622,503,649,502,196,501,649,649,502,649,649,282,501,800,16,800,502,500,501,809,504,282,503,668,282,501,727,800,649,501,503,649,500,500,27,649,502,807,282,800,500,502,649,800,800,500,503,503,503,503,705,501,338,800,503,503,501,502,500,503,800,282,282,649,800,502,649,500,800,500,502,503,107,502,407,503,649,501,502,500,502,649,504,225,502,503,502,649,502,814,501,800,649,649,503,649,501,16,500,800,502,649,282,502,502,503,500,504,834,107,501,724,500,282,502,429,503,502,800,502,503,16,649,501,502,132,649,924,649,649,16,357,501,500,503,649,502,501,503,503,800,500,412,500,501,501,800,649,503,800,500,500,504,800,503,503,800,502,502,649,503,800,177,501,649,503,502,310,548,500,500,502,649,16,282,649,800,503,649,649,972,390,502,500,503,501,282,800,503,503,501,500,359,649,500,500,649,649,800,500,649,502,503,590,503,503,99,637,503,500,503,502,649,282,800,501,503,649,503,649,649,489,501,800,503,649,649,649,234,502,649,502,800,501,501,282,282,800,16,501,503,504,501,779,501,282,800,16,60,282,404,282,501,705,501,915,503,503,503,282,502,500,501,500,16,503,413,502,502,504,502,500,502,504,800,282,501,800,800,501,194,502,501,949,800,800,503,16,282,433,649,500,555,500,503,502,282,503,504,504,282,502,503,502,800,649,282,800,503,500,503,504,753,501,500,800,503,503,800,16,501,465,282,800,928,500,501,502,800,282,282,519,649,501,649,500,500,501,501,800,502,282,649,455,502,500,649,503,282,800,501,500,502,502,501,800,800,649,502,500,83,500,16,501,649,800,369,429,501,800,503,282,649,800,282,503,500,660,649,503,649,501,649,502,502,649,103,800,800,649,501,780,697,649,502,503,649,500,501,503,501,59,16,800,500,800,961,800,282,649,282,800,415,503,503,503,502,282,502,503,500,500,502,649,800,800,800,218,728,415,800,504,649,502,896,16,800,853,503,239,800,800,800,800,107,503,649,500,503,16,500,793,500,503,649,502,946,503,503,800,800,503,501,500,800,649,282,502,500,282,501,503,503,649,932,501,501,504,503,800,501,800,503,503,501,500,503,500,800,800,500,501,282,282,649,649,502,502,503,502,502,500,501,649,500,500,649,649,503,649,501,726,649,649,503,503,503,500,502,649,649,503,16,501,501,501,500,667,569,356,501,84,800,103,502,604,501,503,282,504,649,503,504,16,501,502,502,502,701,800,501,913,295,504,500,502,501,501,637,502,501,501,282,16,502,800,378,41,16,649,282,282,501,501,503,500,649,649,500,282,649,303,500,503,500,501,649,502,107,649,502,649,500,649,501,282,793,501,501,800,800,500,16,800,649,503,553,503,502,503,503,800,503,503,502,502,345,800,282,501,502,800,16,502,102,503,690,503,503,84,501,800,502,649,252,800,16,503,501,502,649,501,649,502,800,649,649,500,266,503,649,756,229,503,502,502,705,800,502,282,503,649,954,503,800,500,649,501,502,501,500,500,649,504,800,501,502,282,565,800,800,800,649,501,800,452,16,649,576,800,649,158,503,910,502,282,503,649,800,502,16,503,800,752,649,16,503,800,107,502,500,501,502,705,649,503,501,503,502,503,501,501,500,282,501,107,502,503,501,503,501,856,992,500,501,483,501,348,502,649,800,502,502,504,800,649,504,649,800,649,500,501,503,649,282,649,500,500,502,500,734,500,500,501,501,500,501,16,649,503,649,744,503,503,649,16,927,16,800,500,502,800,501,502,500,500,649,16,800,502,800,653,501,504,282,649,250,443,649,774,501,282,800,800,107,503,501,649,502,503,649,500,503,103,800,800,500,502,282,502,16,800,500,500,221,800,500,16,503,502,16,988,501,282,500,502,500,501,502,500,504,282,800,504,800,800,267,100,503,800,501,16,103,500,503,897,800,500,503,503,800,502,649,800,842,800,501,506,800,282,503,800,282,502,107,502,649,649,500,649,500,601,502,503,282,501,649,500,800,800,501,282,501,500,502,944,501,500,649,921,16,649,800,500,502,480,649,503,500,501,555,649,503,274,500,107,649,450,502,501,663,800,800,501,500,501,649,500,107,589,649,503,656,649,501,501,503,503,800,649,501,503,500,501,649,501,784,503,503,501,725,501,500,500,500,800,501,500,16,500,503,503,800,16,501,502,800,500,501,649,501,501,500,649,282,501,501,500,800,485,863,500,222,503,649,228,800,502,501,503,502,800,649,800,800,649,501,501,502,501,800,502,502,503,503,500,501,649,800,800,649,500,500,839,800,501,503,368,501,282,502,500,503,502,800,501,503,649,189,459,500,649,800,501,501,501,500,502,502,500,503,170,216,282,800,800,503,500,282,649,476,502,500,502,501,503,503,501,501,501,649,501,501,501,282,593,500,649,501,500,649,16,958,501,501,503,501,649,649,503,400,500,649,500,500,649,502,502,649,649,504,649,503,502,800,501,800,500,500,500,502,501,282,503,500,501,654,504,503,503,224,16,704,649,800,802,800,502,503,501,282,649,502,500,282,800,503,282,502,649,84,500,430,103,402,649,800,383,501,502,800,657,501,384,503,500,500,502,282,503,502,503,502,222,43,501,502,282,242,571,503,517,501,649,800,500,501,360,501,14,500,649,501,503,503,800,605,800,503,503,503,649,282,208,503,501,282,501,502,800,800,282,502,500,502,800,500,649,649,501,501,503,16,175,500,501,501,502,501,667,503,800,402,800,504,649,649,501,800,800,800,164,282,413,503,282,800,502,500,800,649,282,504,282,501,503,501,501,503,500,500,502,500,521,503,502,506,800,500,500,649,649,298,282,500,502,734,501,500,500,800,716,502,503,800,521,503,503,500,501,649,800,48,800,502,10,500,503,16,500,800,502,719,649,282,502,504,500,282,501,500,502,500,16,800,500,178,30,502,800,16,502,502,500,500,897,503,501,502,800,500,16,649,282,282,503,503,500,502,501,500,501,649,649,258,649,501,282,502,800,103,649,334,633,502,649,649,502,501,504,501,649,649,500,649,800,800,502,501,501,503,282,649,500,502,800,502,862,282,502,35,649,649,16,282,502,500,502,500,107,500,501,503,649,800,503,501,502,649,503,690,500,504,501,503,800,502,800,854,502,649,501,503,649,502,649,501,501,800,943,504,800,282,95,649,500,649,501,800,282,504,800,649,500,501,501,500,501,649,800,501,800,800,473,503,502,800,500,241,502,282,16,501,500,800,504,502,501,649,800,800,500,649,501,500,649,502,293,500,800,97,649,501,502,800,500,282,502,800,501,107,502,975,649,501,501,501,503,501,503,503,501,256,501,502,437,735,501,16,649,501,282,500,282,502,649,501,501,649,16,502,503,800,71,800,243,262,800,502,500,503,800,501,501,800,642,649,822,500,649,282,500,502,502,500,501,500,800,502,503,500,502,503,500,501,800,502,133,217,649,503,504,501,649,800,178,142,990,649,500,649,282,103,503,500,503,502,503,651,503,649,107,503,502,502,500,800,502,501,800,500,649,899,503,503,501,16,500,503,503,501,502,800,800,1,282,649,502,503,501,500,542,500,503,649,649,502,921,649,502,502,800,983,502,282,800,501,800,504,501,800,282,502,500,800,502,282,800,16,649,500,560,16,731,800,503,448,504,502,800,800,500,501,373,800,800,500,800,282,501,502,500,800,503,800,502,503,649,649,800,264,800,649,501,501,502,282,800,282,113,503,800,685,845,501,502,503,501,501,502,501,500,728,890,500,502,500,649,502,282,502,800,566,502,800,502,502,503,649,502,649,649,500,503,800,800,500,800,502,503,643,641,282,470,502,45,502,500,282,500,502,502,502,501,649,501,16,501,501,15,501,722,463,800,519,64,502,404,372,503,16,800,947,282,771,282,800,107,501,501,560,502,649,649,503,500,501,396,282,502,282,16,649,800,501,503,649,503,800,800,503,109,503,16,649,501,800,649,501,578,107,503,269,503,649,500,800,502,649,575,282,501,746,537,503,649,500,502,502,501,500,501,500,503,649,250,500,502,888,107,503,224,501,649,503,282,800,800,800,503,501,800,504,503,216,502,500,800,800,107,35,967,503,282,800,872,649,127,551,500,500,503,649,501,89,16,502,503,146,502,649,707,501,500,314,282,800,800,649,649,16,503,800,500,649,502,927,430,500,362,649,502,502,500,504,282,503,282,282,502,282,800,649,503,800,502,649,501,503,502,503,502,649,501,800,649,503,282,649,649,503,649,282,502,16,503,501,649,502,282,800,501,649,649,502,964,501,503,342,649,649,562,502,500,800,800,500,800,800,282,504,500,501,504,501,502,282,501,800,501,502,503,502,501,649,800,797,496,649,502,500,502,502,504,800,16,282,501,444,502,800,649,282,502,502,874,503,512,282,502,800,502,800,502,503,503,501,800,282,500,535,503,500,800,503,500,501,500,11,503,501,503,501,500,800,31,503,649,502,503,649,501,503,501,500,501,649,501,500,800,282,649,957,501,501,524,500,503,273,500,502,800,144,504,733,103,605,500,503,649,282,649,152,814,502,501,501,502,501,282,906,136,502,500,502,501,184,649,500,282,649,16,649,500,502,503,649,502,282,800,800,502,800,649,502,755,800,503,369,502,649,649,649,16,501,501,501,649,500,500,282,800,503,649,503,25,649,502,800,662,800,502,802,800,502,800,800,500,501,800,282,501,501,501,649,503,504,501,501,500,500,500,282,502,649,500,729,500,502,800,800,503,503,500,504,800,16,500,843,503,500,959,500,800,501,501,502,502,649,649,885,649,502,502,800,800,500,800,502,649,649,800,649,282,503,502,503,649,500,649,944,502,500,649,500,708,503,282,503,504,800,800,800,800,274,501,501,619,502,500,503,649,649,800,501,501,501,16,503,502,501,503,501,282,800,649,501,989,503,649,649,615,502,503,572,649,649,500,501,502,500,503,503,500,649,16,282,500,649,501,502,88,502,649,282,501,649,110,800,502,16,800,431,282,16,16,899,649,282,502,500,649,503,425,501,500,500,800,502,500,503,800,649,500,502,649,800,504,500,501,500,502,500,501,502,800,503,649,800,800,800,886,800,649,502,501,503,500,16,649,502,501,800,541,649,502,800,504,107,107,503,502,800,107,501,500,649,250,649,800,501,501,708,649,501,282,649,649,820,16,16,649,500,800,649,910,503,800,501,16,503,502,649,800,103,282,503,502,800,800,500,800,339,500,282,16,502,502,501,800,501,500,503,100,649,502,800,503,16,501,800,649,502,502,649,502,243,80,649,502,705,800,800,800,282,500,649,510,500,703,500,335,500,502,504,800,501,503,503,16,800,503,710,976,501,30,501,307,502,500,800,800,705,800,16,502,287,503,502,800,897,800,800,649,501,282,282,371,502,548,282,503,800,500,502,500,282,649,800,503,501,649,800,502,501,724,282,500,16,800,501,501,502,500,502,503,567,649,503,649,649,501,649,502,503,502,800,735,876,717,501,800,500,502,282,282,501,649,282,501,16,204,501,500,649,502,800,649,500,501,501,800,800,501,503,649,16,503,362,503,502,501,800,503,503,503,16,16,501,502,501,800,649,503,649,500,800,504,282,649,722,766,501,81,16,500,359,501,800,16,500,800,500,488,800,649,649,500,501,500,502,649,603,501,649,800,500,501,205,501,500,502,649,800,503,500,800,502,640,282,332,501,886,500,502,800,727,977,503,649,503,545,501,649,16,503,800,503,568,503,800,501,282,649,501,485,282,503,800,649,503,107,649,503,500,503,502,273,501,649,503,501,850,501,500,503,649,282,800,503,16,282,503,501,502,649,504,988,282,649,502,502,501,36,16,503,502,503,503,502,282,649,502,500,90,774,282,501,16,501,500,501,282,800,502,800,502,768,893,376,16,502,501,500,282,649,800,282,800,502,649,503,800,501,503,503,500,800,503,649,800,501,531,500,502,502,988,16,456,649,503,649,282,500,282,503,502,649,501,282,502,103,501,800,800,800,89,118,160,941,502,985,16,721,502,500,282,16,500,649,503,500,649,649,502,16,504,282,503,800,282,649,502,502,501,500,224,800,800,503,16,501,800,800,501,107,500,935,54,800,649,500,501,501,501,500,502,502,501,800,30,502,501,501,800,792,800,502,501,502,2,502,800,800,649,800,208,503,503,231,501,503,503,800,800,503,502,503,503,649,443,649,500,500,503,501,649,971,502,361,502,306,282,649,649,503,649,500,502,502,502,345,502,500,16,504,501,503,501,501,649,503,649,282,500,649,503,503,800,503,502,500,511,649,649,503,800,649,800,503,800,501,502,649,800,649,282,649,800,649,503,502,800,649,501,800,501,649,504,606,503,649,501,932,649,503,500,502,503,503,16,800,503,783,501,500,503,282,501,502,502,502,775,282,503,500,886,500,501,800,501,282,282,800,503,282,649,502,501,728,500,503,501,502,800,107,502,649,502,16,80,649,503,503,501,500,649,649,649,649,800,649,800,800,277,649,800,502,649,501,501,504,16,501,820,291,12,503,800,107,501,502,798,500,500,502,282,502,800,501,502,649,282,502,908,800,282,500,501,501,800,800,500,800,503,500,504,501,800,500,282,501,501,500,500,110,501,680,649,282,501,282,800,500,503,501,504,500,501,500,132,774,501,649,96,501,500,454,282,725,649,419,500,107,649,500,800,800,649,502,501,918,501,800,649,649,282,500,503,800,503,800,649,502,405,800,800,502,39,502,500,504,282,649,501,649,968,501,500,501,649,501,502,501,503,502,502,832,16,800,503,392,502,500,649,502,800,503,503,503,502,256,800,800,503,501,500,49,800,502,500,503,500,503,503,800,501,500,282,649,800,501,503,501,503,502,800,800,502,502,501,502,649,649,649,218,770,500,764,800,649,649,16,502,500,502,503,504,502,282,800,501,107,501,500,649,800,501,501,501,800,501,649,500,501,501,942,309,282,503,18,500,500,800,502,282,502,502,503,649,502,800,800,666,368,16,503,502,503,500,282,369,282,800,688,800,501,59,501,504,800,500,800,649,502,501,26,282,500,504,800,502,503,501,502,649,800,502,503,649,800,500,649,502,800,800,800,649,430,500,224,16,502,500,173,500,503,800,655,500,501,800,502,501,800,500,649,282,649,502,503,502,800,649,800,500,503,649,800,502,800,16,649,501,973,899,501,503,503,501,649,800,800,502,649,503,107,502,800,649,503,649,100,500,800,503,500,500,502,503,501,282,502,800,503,649,282,649,16,500,501,503,503,705,800,502,501,649,501,504,282,500,251,649,503,500,282,649,503,649,501,16,800,501,612,649,16,649,16,500,800,649,649,112,649,503,502,107,500,500,282,143,504,16,503,649,800,501,871,649,338,502,649,503,282,502,658,503,800,649,800,800,503,107,503,738,503,282,922,16,502,800,183,502,502,282,786,502,501,500,78,500,503,282,500,619,500,503,705,107,282,800,502,103,649,500,502,503,500,285,500,500,800,649,402,500,800,16,649,800,502,649,501,502,649,800,649,649,800,653,501,503,502,683,502,503,378,501,1,503,800,110,500,501,502,501,503,503,502,16,503,503,943,502,503,100,500,500,800,500,500,500,502,556,501,282,107,800,16,16,503,720,501,501,501,800,502,501,503,649,649,124,217,503,649,500,502,16,503,501,982,16,800,649,601,800,73,500,500,502,769,16,501,649,503,501,800,800,501,502,290,618,800,864,503,501,501,800,103,500,189,503,501,282,500,649,502,649,500,502,649,103,282,16,501,500,500,504,501,500,103,57,502,502,649,501,503,840,591,800,916,500,649,21,16,80,502,924,800,800,800,501,502,16,649,460,500,282,942,649,83,807,609,501,501,500,501,649,502,502,649,502,16,282,327,800,502,504,501,501,649,501,501,502,166,503,800,501,500,649,502,282,282,500,503,503,500,800,502,107,502,503,500,649,800,502,288,800,800,503,502,503,16,500,924,503,959,503,800,501,502,501,500,800,500,500,500,866,502,502,502,500,800,641,500,705,501,800,501,501,800,500,16,504,503,503,503,501,500,676,501,800,500,649,503,959,502,500,282,501,800,503,16,220,16,649,649,16,500,68,649,503,649,16,500,649,501,503,800,649,800,16,103,500,504,800,649,672,501,500,502,501,16,800,503,503,282,502,502,800,739,800,503,503,516,377,503,649,649,502,800,860,800,503,502,282,649,503,834,500,374,649,504,800,500,800,503,800,503,501,542,649,502,500,800,16,500,649,282,503,503,907,500,649,502,501,500,501,649,502,501,649,502,282,500,474,501,502,500,282,16,649,502,898,501,503,432,501,103,502,500,619,862,501,502,501,502,503,501,622,800,502,501,808,16,282,501,332,502,819,501,503,800,800,503,713,282,649,649,560,813,500,500,800,630,997,500,637,500,501,501,335,501,282,502,503,503,16,569,500,500,503,282,282,16,623,649,501,502,502,528,649,649,911,649,282,800,500,864,502,800,503,502,500,500,502,502,501,649,633,501,501,800,800,282,502,378,502,500,800,502,776,282,501,649,501,500,649,502,501,354,502,16,800,282,503,570,501,649,689,504,504,503,503,16,502,503,500,500,501,501,503,501,501,502,502,502,282,503,502,503,604,800,504,501,503,500,800,500,503,603,500,500,501,649,800,282,501,503,502,501,503,502,503,37,282,501,649,503,800,800,503,501,800,107,282,500,607,501,503,501,649,502,500,503,649,502,649,501,502,477,800,501,800,502,349,502,502,500,503,501,500,500,846,649,502,282,502,800,501,500,97,500,503,503,282,502,500,500,502,502,503,649,501,501,503,503,501,502,649,55,549,800,503,503,502,500,800,500,103,282,502,500,501,502,503,649,503,649,800,503,800,500,501,230,500,500,503,503,62,503,503,500,500,501,503,501,502,503,503,615,800,501,16,503,503,500,258,500,500,800,800,501,981,503,500,501,800,501,282,282,800,502,500,282,502,500,503,800,500,501,800,501,55,282,500,500,800,500,649,800,503,909,495,500,649,501,649,502,500,501,649,500,555,649,800,503,649,53,800,502,184,503,635,501,501,833,116,502,649,649,958,800,800,282,800,503,649,502,503,500,319,649,16,733,501,545,500,800,649,500,106,502,502,173,503,503,503,553,500,282,832,800,500,502,500,522,500,501,503,548,501,538,800,282,501,649,500,922,502,501,800,987,282,502,16,503,501,649,500,503,500,649,649,791,800,16,502,649,500,500,282,800,500,649,500,649,245,16,649,449,500,500,649,503,502,924,502,501,649,800,503,502,282,503,282,503,500,502,502,500,237,477,282,500,800,504,107,282,282,500,503,500,500,502,16,282,105,501,649,500,800,501,501,649,282,282,502,800,649,501,503,502,500,155,501,800,7,649,500,800,500,500,503,201,649,800,282,503,649,500,501,503,649,502,503,800,503,649,501,66,502,984,800,649,500,649,500,501,800,500,500,649,500,503,649,500,800,800,502,500,800,649,800,501,502,500,649,503,503,504,649,649,502,800,649,282,501,800,501,502,800,649,501,620,341,502,502,501,502,800,502,674,952,504,504,501,282,107,504,800,502,282,800,503,259,503,500,501,742,282,503,107,153,282,501,501,501,800,501,501,500,800,502,503,502,282,800,503,800,500,649,194,502,500,501,502,500,867,32,501,503,501,649,649,504,282,16,503,800,16,649,503,800,501,231,503,500,501,503,649,503,500,501,282,800,502,501,501,501,15,503,504,503,800,649,271,501,800,282,502,501,503,282,800,800,502,649,800,649,501,649,282,502,800,502,504,606,282,282,523,649,695,442,800,501,503,587,500,932,282,502,500,219,500,501,649,649,800,500,502,500,501,502,501,501,649,502,503,800,502,501,800,649,800,941,282,800,500,753,649,503,500,502,504,500,649,503,16,503,503,663,500,501,649,500,800,649,502,800,800,500,282,800,649,649,649,503,502,500,649,107,500,503,693,477,16,649,282,500,282,503,285,649,393,282,103,504,500,500,502,500,500,800,500,503,282,649,500,500,502,503,282,502,282,501,973,649,800,500,502,649,503,501,500,501,649,503,500,800,502,502,649,922,501,500,502,649,504,500,502,720,501,584,649,502,500,649,501,649,950,800,502,800,503,502,503,282,500,800,107,500,578,502,503,503,501,504,649,649,502,649,649,500,282,501,329,465,503,800,649,800,501,502,649,325,800,501,501,503,800,501,783,782,501,282,500,800,500,800,501,649,965,500,649,501,800,503,501,500,800,502,282,502,282,503,500,500,649,500,500,167,800,501,503,800,206,649,500,282,502,282,282,501,307,500,16,500,649,282,502,800,503,502,501,800,502,16,800,800,503,282,679,500,988,597,500,501,452,169,800,483,800,649,501,502,649,649,103,649,502,282,501,503,282,500,785,500,800,503,778,500,501,502,649,753,501,353,649,282,649,502,503,500,503,800,800,282,503,800,800,800,70,502,500,503,649,501,282,501,503,800,929,504,800,800,503,282,500,904,16,501,502,502,500,501,502,503,503,501,504,282,800,282,500,503,649,649,800,800,800,501,502,503,282,502,800,501,503,500,503,500,502,502,57,282,649,800,649,502,282,500,503,656,649,500,503,503,649,503,22,649,503,439,501,649,103,500,503,649,241,107,406,800,800,501,445,16,649,649,501,300,502,800,800,151,503,503,501,502,500,800,649,800,502,800,501,649,800,503,800,649,649,807,649,504,503,503,649,502,501,501,800,800,500,503,500,649,282,504,649,800,500,16,649,800,502,501,649,500,451,649,503,800,501,501,350,501,500,16,282,800,107,500,502,500,649,501,501,502,502,501,800,503,370,503,800,502,502,448,800,649,47,649,282,282,503,836,503,649,500,500,800,502,88,649,282,800,503,502,83,500,282,501,502,649,800,500,502,502,500,502,503,800,800,778,800,500,800,950,800,500,500,671,16,503,502,501,502,503,503,649,282,800,501,282,282,502,649,500,502,503,282,500,16,502,800,282,503,818,503,558,282,282,649,503,502,649,500,282,502,502,500,500,503,800,500,775,503,502,500,504,44,500,282,16,502,649,940,649,501,502,649,502,800,649,649,502,800,16,296,503,565,800,503,649,649,503,16,649,16,800,212,501,649,502,502,501,500,649,502,501,649,649,733,501,649,800,649,502,282,539,501,166,800,502,502,502,500,500,649,504,333,800,500,500,500,500,502,502,503,501,503,503,469,649,504,800,586,500,469,282,16,649,649,282,800,503,500,504,649,501,282,500,649,17,502,649,502,504,503,282,800,500,501,249,502,282,649,501,503,800,501,317,800,562,800,501,282,649,502,500,501,500,501,500,502,800,649,503,502,800,501,115,500,649,502,501,649,621,282,800,503,852,500,649,501,16,500,330,537,649,503,500,501,282,282,282,800,800,800,800,503,503,502,501,800,800,649,503,572,503,500,27,502,501,503,501,374,282,501,501,501,649,503,649,800,800,501,503,386,800,503,649,503,500,502,649,501,649,739,503,800,649,800,502,649,649,501,100,503,800,800,282,16,672,282,503,790,11,800,502,282,503,500,502,814,501,327,500,954,800,282,503,649,800,282,502,501,282,501,502,500,907,502,502,800,800,649,502,500,502,501,649,649,503,800,705,500,503,502,649,502,800,800,174,800,501,502,502,502,800,649,800,501,501,502,800,871,649,282,649,282,282,502,800,649,502,503,502,503,282,501,649,951,502,282,251,502,649,501,503,503,501,501,800,649,501,503,501,501,500,503,503,616,502,503,504,502,503,969,649,800,490,502,649,107,501,500,649,502,502,503,67,98,649,503,16,402,765,503,502,501,502,502,800,752,332,649,503,649,282,500,621,800,500,501,800,282,501,502,500,501,504,16,800,502,807,649,500,649,502,210,501,503,858,800,800,800,502,649,383,649,649,808,800,60,233,502,705,502,504,500,16,649,500,800,500,677,16,800,649,649,800,649,649,16,501,501,431,649,717,282,649,502,500,396,502,282,941,620,649,800,502,282,500,501,800,502,649,800,501,649,649,503,502,282,503,501,502,16,503,800,501,502,649,800,16,800,800,800,282,823,502,503,800,501,800,503,282,502,800,502,800,500,503,282,501,218,503,800,466,504,825,502,500,503,282,649,501,649,504,501,502,197,800,501,502,503,282,502,502,503,503,800,503,800,501,500,503,800,649,501,70,800,44,503,640,503,502,501,649,211,649,502,16,501,367,501,800,282,350,800,503,503,503,502,500,800,210,503,502,502,500,500,649,282,649,501,649,501,503,800,649,282,500,649,282,282,500,800,502,501,503,501,649,501,649,502,502,500,649,502,501,282,16,684,502,162,501,649,800,502,649,500,502,16,193,502,501,502,501,800,282,501,503,282,503,501,500,503,500,205,282,103,800,504,649,800,502,649,502,503,800,649,649,500,800,984,96,649,503,503,800,503,282,282,649,500,500,800,502,502,800,501,649,800,500,649,51,147,16,282,16,282,81,282,503,649,800,502,282,503,800,500,503,502,501,800,90,501,503,412,649,503,503,501,337,649,500,502,502,502,800,145,800,502,501,649,502,649,504,502,844,503,16,502,501,282,800,816,501,847,501,649,500,500,800,504,649,503,501,500,501,823,694,502,502,282,16,501,649,823,282,282,800,503,500,502,501,800,652,503,800,502,500,282,803,282,500,500,800,649,649,513,502,504,502,45,500,649,649,500,503,774,501,649,502,282,501,800,649,501,503,500,501,500,503,85,503,800,800,16,500,503,500,649,501,500,502,649,501,500,503,638,500,649,800,16,649,649,501,800,800,21,504,649,502,649,800,16,502,800,501,501,21,800,282,282,500,800,800,500,504,503,501,649,282,800,282,503,800,503,800,500,502,502,282,500,649,222,504,501,500,502,107,501,649,503,282,503,500,502,501,800,800,800,503,502,16,406,800,282,2,500,282,503,503,16,800,47,502,16,500,502,800,282,501,16,500,282,502,500,502,503,16,574,502,250,502,502,166,503,503,800,501,503,501,502,503,502,500,977,800,649,501,504,575,649,503,16,502,800,500,800,649,503,500,282,800,107,800,649,649,649,501,525,282,282,500,500,800,500,681,503,139,649,504,500,80,800,503,503,800,649,807,500,502,503,500,959,649,800,486,501,664,500,368,282,287,503,282,176,503,967,501,502,500,800,502,48,219,502,503,502,501,282,649,482,501,16,282,692,502,150,500,800,502,500,48,800,800,501,800,502,502,705,502,500,503,800,502,425,500,800,500,501,800,500,800,503,502,649,502,800,282,800,649,649,501,502,282,503,800,649,501,16,500,649,800,649,800,649,500,800,893,773,503,502,501,502,800,282,501,16,503,503,502,649,501,502,502,800,503,501,501,647,503,800,649,486,386,503,800,800,500,503,282,649,16,649,649,800,800,501,503,649,502,503,503,502,500,6,800,502,282,103,501,503,500,800,500,649,504,502,773,501,502,503,800,500,800,502,36,500,800,649,500,501,502,500,503,800,800,107,16,807,502,501,649,238,502,502,503,538,502,800,502,503,501,859,502,282,649,503,501,500,500,500,800,500,800,545,957,649,503,500,504,501,800,378,107,500,800,649,500,503,500,649,800,800,501,503,649,800,502,500,500,800,649,649,649,800,16,800,617,992,308,504,502,800,500,649,800,501,311,500,501,503,649,800,503,502,649,604,502,503,501,503,503,649,503,503,500,649,282,502,800,800,500,500,297,282,503,649,500,16,107,502,503,503,800,501,660,502,500,500,501,16,601,501,649,649,500,649,363,500,500,502,282,500,16,800,649,107,649,800,500,649,500,800,502,500,649,503,649,503,16,501,501,649,390,542,502,500,501,501,16,503,503,800,282,902,51,500,503,502,500,67,500,717,800,500,282,925,503,500,503,503,800,500,504,500,501,649,107,173,890,649,502,649,501,501,500,501,500,204,649,501,649,504,503,649,500,319,800,502,502,649,504,649,282,501,649,502,504,800,254,500,500,800,502,425,505,649,405,649,502,502,503,503,649,800,502,503,282,502,800,503,501,649,503,502,503,800,502,282,500,779,227,502,800,807,661,649,649,16,503,649,777,500,282,649,502,502,800,282,800,649,500,649,800,649,501,107,282,97,800,502,502,800,649,800,502,502,800,675,503,502,649,501,503,649,282,501,16,500,282,282,800,502,282,503,363,689,502,282,716,649,649,500,500,500,180,501,502,282,282,155,501,501,503,800,800,16,501,503,800,594,16,503,501,500,649,502,259,503,500,502,502,501,501,527,649,42,686,649,502,800,501,16,500,800,501,127,800,649,800,3,800,800,503,649,503,502,502,501,502,649,649,503,649,500,501,800,501,800,500,500,500,800,800,501,502,800,500,649,282,501,502,974,649,502,500,502,16,783,300,500,500,502,800,502,649,800,502,501,282,800,501,501,970,500,282,649,800,502,282,16,800,16,501,800,502,500,16,502,658,800,649,649,502,502,501,282,502,503,502,282,503,649,502,282,16,676,502,649,249,503,649,501,501,502,502,502,502,254,639,649,464,501,501,441,502,800,503,890,649,502,500,332,503,164,500,500,503,503,63,107,282,500,649,800,500,282,503,649,948,502,282,649,500,649,503,800,503,649,501,800,103,649,649,791,282,629,500,103,161,154,503,857,649,16,502,282,500,502,720,503,800,504,800,210,80,649,649,502,649,800,500,800,503,800,501,500,500,649,500,503,649,502,596,16,800,500,502,649,501,503,502,502,16,800,503,501,282,502,800,504,649,500,800,500,107,204,501,502,500,407,103,282,502,649,16,800,502,649,502,502,500,501,501,501,502,502,800,503,501,282,503,649,503,800,502,503,88,500,503,384,282,800,503,282,16,502,502,800,500,809,501,503,800,800,649,107,500,649,859,503,501,649,16,962,903,500,282,502,500,800,502,500,800,282,800,502,502,503,800,282,649,607,16,504,369,500,800,500,800,800,800,502,502,800,800,800,649,282,510,503,282,870,502,500,501,571,800,800,649,800,625,649,502,502,800,502,502,501,503,501,502,501,503,503,502,500,800,502,282,500,502,503,502,282,800,467,501,501,282,503,501,616,502,800,500,501,649,501,766,502,502,649,282,501,657,800,649,512,800,649,504,282,503,282,501,800,501,282,649,649,502,503,500,800,800,649,649,503,502,800,500,503,800,800,282,501,16,503,503,282,501,503,282,500,502,502,503,649,649,500,800,500,500,503,501,501,501,800,817,503,107,502,500,16,282,502,649,16,446,500,800,500,649,502,501,282,800,941,503,781,649,501,500,16,800,649,566,502,603,501,649,107,500,649,649,503,501,16,502,503,502,40,834,282,16,800,800,462,16,504,282,448,361,502,501,503,888,502,502,501,501,852,503,500,502,800,503,800,503,837,501,502,705,649,500,500,504,500,501,800,501,70,501,502,502,502,534,504,16,502,501,503,503,800,503,223,282,649,502,934,502,282,502,503,126,501,500,800,800,800,463,500,649,500,649,649,649,503,649,282,800,503,500,649,501,503,16,16,16,282,330,501,900,500,103,502,800,818,800,282,112,501,649,502,649,77,649,334,102,501,408,800,502,501,502,503,500,649,502,124,500,503,649,503,649,503,501,500,502,502,500,500,501,586,503,501,500,502,500,649,757,502,16,501,282,800,503,502,800,282,500,503,800,282,502,666,500,103,546,649,649,501,501,649,502,501,168,502,500,503,500,500,503,502,500,800,502,100,16,503,16,500,500,502,500,503,503,501,503,25,34,430,500,501,500,601,649,503,103,504,502,502,501,500,502,163,380,800,649,503,282,16,503,500,800,649,500,800,282,649,611,501,500,503,500,64,16,649,878,501,649,503,649,16,800,800,800,503,16,649,502,282,522,502,107,649,355,500,800,503,502,503,501,282,503,503,500,501,502,500,502,800,800,649,282,800,503,16,501,16,502,800,319,800,282,502,649,503,876,503,649,501,649,503,16,503,502,800,800,649,503,16,324,501,649,501,282,800,149,500,649,501,501,282,282,501,575,502,649,329,500,503,650,807,501,107,649,501,649,282,282,502,649,501,649,617,882,236,232,800,649,800,649,503,502,501,282,282,500,501,501,16,503,282,503,16,502,800,503,501,116,134,518,660,501,800,800,500,800,500,503,649,16,140,649,800,649,282,282,282,800,500,500,503,500,649,500,501,800,692,503,282,500,649,800,500,502,282,649,502,500,501,502,500,500,649,16,282,503,16,800,500,800,649,800,800,501,282,16,501,502,800,503,501,503,800,502,503,501,649,800,500,649,306,800,502,800,502,502,502,16,500,502,502,107,800,28,502,649,500,920,502,649,503,501,649,502,103,282,912,501,800,649,649,198,502,282,716,501,800,800,800,503,800,649,107,500,503,649,501,103,800,649,800,502,101,501,107,857,843,800,501,813,800,500,500,501,16,16,537,705,501,800,503,16,501,649,501,282,800,522,501,649,16,501,800,800,649,649,502,103,503,145,800,500,500,501,502,688,649,998,282,985,500,502,282,500,649,503,800,503,800,502,503,500,501,800,282,503,562,16,660,502,282,502,502,503,501,503,500,649,503,501,800,503,800,649,500,800,282,503,500,107,503,500,501,500,800,826,503,839,500,500,45,914,501,649,649,503,500,588,503,649,502,503,528,503,107,649,800,649,279,501,649,649,800,282,800,502,501,500,500,501,503,503,500,500,864,16,501,41,649,282,796,107,500,503,800,501,649,501,500,800,918,800,500,500,502,649,649,500,500,500,649,649,500,649,502,502,282,649,939,649,503,501,503,273,503,500,649,649,800,16,502,502,16,282,649,503,383,500,503,282,107,503,483,500,649,282,500,512,500,502,504,500,500,503,500,503,501,500,500,500,649,503,502,500,503,501,503,800,502,649,502,649,800,649,80,502,649,503,893,503,800,502,502,502,800,282,649,503,502,501,800,90,500,501,500,514,107,502,500,500,649,282,800,502,800,503,502,800,472,503,342,837,800,282,503,800,800,502,103,107,373,800,800,241,502,501,282,649,107,503,501,501,649,501,800,282,649,800,502,189,800,282,501,649,501,649,649,282,500,649,502,282,503,500,800,503,649,649,651,800,649,20,502,503,501,502,503,800,503,282,503,800,422,800,501,800,800,502,61,500,113,518,503,503,501,800,502,502,16,500,16,503,649,649,500,501,500,969,500,500,282,502,794,503,502,649,16,236,504,938,502,502,502,282,503,649,502,503,16,282,503,800,651,649,500,649,649,503,649,282,649,649,500,501,649,502,800,503,800,649,378,500,503,800,503,495,503,649,501,503,501,800,649,500,503,501,800,351,649,502,649,607,282,501,503,503,503,503,501,503,800,500,500,503,936,500,649,500,500,649,501,501,503,500,503,985,28,502,410,502,502,282,815,800,639,503,503,502,502,501,649,503,501,649,649,649,649,500,501,501,503,502,649,500,649,120,735,503,800,502,983,800,649,500,500,649,501,282,503,503,800,500,502,103,501,649,500,649,210,800,501,504,501,500,501,502,649,649,500,649,349,500,108,800,649,503,705,503,107,800,649,501,800,800,649,500,502,502,501,501,649,500,504,501,404,731,800,649,501,502,649,502,800,503,649,800,503,501,800,649,649,748,282,501,500,800,501,800,502,800,503,435,800,501,500,796,501,502,176,503,502,800,800,16,501,796,501,500,282,649,683,16,502,501,501,504,649,501,177,800,109,501,282,503,649,675,503,800,649,502,282,502,649,501,757,212,2,649,800,501,589,503,282,501,500,649,501,943,501,501,501,800,649,500,503,353,500,501,649,503,835,936,40,501,649,503,689,504,59,800,800,842,501,649,501,649,503,649,444,649,501,590,503,501,501,649,282,282,503,649,502,503,258,282,649,502,503,649,500,649,503,502,501,16,282,649,800,502,500,55,800,800,503,500,984,501,501,800,649,800,500,503,502,800,568,501,501,800,502,800,500,16,649,649,502,502,649,503,649,16,500,502,500,504,502,817,502,282,732,502,503,500,649,800,502,612,502,501,195,170,502,502,649,501,501,524,500,500,649,649,649,501,502,649,501,95,649,503,502,504,502,501,800,649,500,502,501,502,501,500,800,502,649,500,800,543,501,502,503,502,649,649,649,502,501,500,800,800,807,503,501,503,659,500,500,649,501,649,503,500,504,501,501,501,103,503,502,800,502,308,502,501,436,282,502,503,828,282,502,500,875,503,800,501,500,504,649,501,649,649,500,649,282,649,539,429,452,282,500,800,503,649,936,503,649,825,500,502,800,800,503,503,800,503,501,16,500,800,649,282,503,500,500,649,567,649,649,16,501,501,500,474,502,502,503,649,196,503,855,503,800,800,500,800,800,503,502,16,649,202,500,16,504,503,501,649,619,649,649,282,502,800,788,501,282,502,503,282,503,649,500,800,501,649,500,282,800,501,800,502,501,282,890,800,502,504,502,107,800,624,501,502,503,502,502,500,800,501,800,501,503,500,800,500,503,501,311,414,502,501,500,503,282,502,649,649,501,502,500,580,502,800,800,16,501,501,501,649,800,500,16,115,16,502,181,500,501,800,503,501,649,107,500,649,103,163,503,502,500,500,502,800,504,649,503,800,649,503,500,800,294,16,649,16,16,855,503,501,503,848,501,649,649,649,501,789,16,649,570,469,502,503,649,950,649,164,504,282,501,649,500,649,500,585,502,503,649,500,504,800,500,519,501,800,800,649,902,502,502,502,649,503,649,800,800,500,500,906,800,500,503,500,504,712,282,500,282,502,662,767,282,501,503,501,91,500,502,500,500,502,501,800,502,501,502,500,800,838,502,500,500,503,503,504,501,502,800,501,503,16,501,501,595,501,503,800,282,502,800,800,649,434,503,500,857,501,501,500,501,649,501,501,500,282,800,16,604,504,503,282,502,103,501,502,107,800,500,502,500,800,800,500,501,800,502,502,649,649,792,649,8,282,501,501,141,502,503,16,16,503,800,800,143,500,500,500,800,502,503,502,504,501,501,649,282,503,503,503,800,501,649,503,309,500,501,502,110,976,538,800,503,282,800,800,649,649,502,501,502,500,800,501,530,502,681,500,459,500,327,282,501,503,800,863,649,649,16,800,800,565,800,503,570,501,501,502,500,503,16,503,342,649,107,502,649,472,282,502,864,503,501,503,485,503,22,649,503,500,509,800,800,503,503,500,282,500,649,898,503,501,503,500,503,502,503,503,501,502,800,282,501,502,919,800,501,504,649,16,649,501,800,649,669,47,800,228,800,503,708,503,502,222,501,649,500,649,16,502,649,503,502,800,502,110,649,211,800,500,503,649,503,519,271,649,502,503,282,282,503,503,501,500,220,656,882,800,649,501,800,161,649,800,800,500,500,502,282,501,282,500,501,503,500,775,607,503,649,649,501,800,501,500,503,649,503,502,501,501,800,503,502,502,503,500,282,503,107,800,800,16,501,649,501,503,500,502,16,800,503,501,502,500,500,800,800,800,16,894,500,342,503,467,500,502,501,500,649,800,800,502,501,500,201,503,502,919,501,800,503,649,649,777,16,649,282,502,500,649,502,503,921,107,501,501,800,503,500,502,800,542,500,502,502,502,504,500,692,800,800,500,649,282,502,500,800,503,503,800,649,649,649,503,649,256,500,500,16,649,500,503,501,501,800,187,16,649,231,502,978,649,501,800,501,502,502,503,152,500,649,502,354,800,503,899,503,791,754,501,800,800,501,502,502,504,649,500,500,500,621,500,815,649,501,800,800,445,282,500,502,282,800,649,282,502,500,16,503,282,855,800,503,800,800,503,800,397,502,406,501,800,501,502,500,504,282,649,500,501,501,503,649,844,800,502,822,282,649,800,163,649,504,503,800,502,501,501,500,502,503,502,961,16,502,282,501,800,502,649,16,502,649,503,503,503,282,500,501,282,620,501,502,649,500,500,503,501,532,504,500,800,282,501,800,649,500,278,502,322,500,501,501,501,649,503,502,649,800,649,503,502,634,503,649,503,282,273,282,503,649,649,289,426,500,649,502,564,649,501,282,16,500,250,500,800,502,144,501,500,282,800,500,103,100,503,503,501,502,182,131,649,323,503,282,649,502,503,501,502,649,882,501,649,502,502,501,800,282,307,500,503,500,500,501,93,503,800,501,649,501,503,502,729,649,501,503,649,282,502,501,649,606,649,502,649,107,649,503,800,800,500,899,502,500,501,500,502,500,666,503,500,836,800,800,649,500,800,800,649,688,838,800,860,501,800,705,501,502,649,103,501,504,649,16,649,502,800,649,502,386,502,501,16,503,503,649,282,649,503,500,16,504,502,649,800,282,16,501,649,649,783,848,705,800,504,649,504,626,502,500,500,500,649,503,800,500,503,503,502,503,502,502,501,501,282,800,502,502,503,503,514,500,649,500,649,656,501,800,502,502,800,501,257,649,800,504,649,649,800,800,501,500,282,16,282,500,502,500,16,500,800,800,501,500,800,501,51,800,501,800,649,501,800,649,31,800,502,503,502,282,501,503,171,910,107,501,502,319,500,926,587,501,649,282,21,844,503,16,16,501,500,501,649,503,16,500,800,500,800,800,609,649,800,501,501,503,641,800,501,649,16,500,649,503,107,888,503,500,502,503,500,501,500,800,502,501,669,503,503,503,503,649,503,800,809,800,501,503,502,500,282,502,502,649,282,503,649,16,282,501,500,649,503,500,800,502,503,800,666,502,800,500,649,502,503,282,282,500,503,649,16,238,250,502,282,881,282,501,501,16,800,820,649,503,282,800,282,502,800,501,800,800,649,649,649,800,502,500,282,800,500,107,649,649,502,649,500,800,649,503,800,649,500,500,501,800,755,503,586,649,501,502,800,800,502,501,503,649,16,163,867,107,649,800,282,500,282,979,282,500,800,502,16,503,649,800,649,282,649,502,885,649,503,501,503,282,503,502,501,503,649,500,501,503,500,282,501,504,502,502,649,501,800,500,500,500,879,705,504,649,500,129,502,673,503,501,649,502,623,503,500,649,319,503,501,501,514,502,800,834,800,319,500,501,649,649,800,680,282,502,800,503,649,500,282,361,501,773,393,501,502,503,628,500,282,504,800,649,649,500,502,502,502,503,20,282,501,501,800,502,501,504,909,502,800,500,800,800,502,800,282,501,500,502,649,503,503,16,800,500,502,649,501,502,500,649,800,282,501,502,649,500,502,16,502,500,918,649,502,649,503,500,355,503,514,750,649,29,503,282,503,501,501,757,502,503,501,282,800,718,649,500,649,503,649,649,800,502,500,501,500,649,880,800,503,51,649,502,501,95,504,282,500,630,187,282,282,800,501,800,800,800,502,501,282,500,100,893,272,503,502,65,503,504,508,800,501,502,504,501,800,16,500,500,649,649,503,649,500,501,503,501,800,501,282,502,507,502,503,649,511,300,502,649,501,625,800,282,16,503,800,241,943,500,502,500,649,502,649,16,649,501,800,800,501,331,16,800,649,282,503,500,501,502,501,501,500,503,502,503,500,649,502,500,800,16,649,501,670,649,503,503,458,500,649,800,503,502,501,282,501,502,282,502,500,500,500,500,282,500,800,800,501,800,649,502,282,503,523,503,800,800,103,502,800,502,500,501,649,504,649,800,501,422,566,501,16,503,502,500,502,867,435,503,800,800,501,503,503,800,282,500,282,869,504,329,800,800,503,504,649,282,502,503,503,800,500,501,502,16,526,502,502,503,649,649,649,649,282,503,649,649,503,412,282,649,800,501,503,649,107,501,503,649,649,501,400,501,678,500,503,503,649,500,16,800,501,503,501,500,502,649,16,800,502,853,503,501,800,299,282,282,215,500,502,242,501,500,800,282,501,107,800,502,501,501,282,282,502,503,762,649,994,800,282,649,888,501,282,503,107,500,502,800,649,503,500,800,649,502,501,503,502,282,294,773,282,800,502,504,649,502,649,800,501,500,503,800,649,649,960,649,649,282,502,503,503,503,503,800,501,502,649,815,16,282,649,282,501,501,503,501,649,503,503,649,501,282,800,501,800,501,282,401,282,849,282,502,500,649,800,502,503,500,503,41,649,501,503,501,649,649,503,649,845,502,863,800,501,649,502,282,649,649,501,800,421,800,649,504,178,800,500,97,128,649,800,879,800,500,503,649,502,649,282,800,500,503,502,800,649,503,503,332,564,537,503,853,685,503,504,503,649,800,649,500,649,37,503,649,889,501,500,503,500,502,660,502,649,649,282,282,503,503,800,504,644,504,503,788,649,503,502,502,501,500,649,503,16,282,975,16,282,282,502,504,501,501,503,501,649,800,500,501,500,800,859,501,502,502,503,503,216,649,504,649,503,649,800,503,500,16,649,503,502,649,500,282,503,649,385,800,501,100,282,502,503,282,800,500,16,503,501,800,500,500,503,103,504,528,502,800,500,501,502,501,404,502,500,649,282,800,282,501,800,500,527,501,303,893,502,800,503,502,392,500,500,282,501,854,988,401,800,503,333,503,503,859,500,500,820,503,502,502,573,503,107,502,501,649,500,502,282,502,503,500,502,500,501,800,503,403,404,282,649,282,501,500,649,501,282,501,133,800,503,291,503,800,800,800,502,282,500,800,503,501,282,502,502,800,502,16,800,503,103,502,501,697,503,501,800,500,501,501,649,501,119,807,16,649,282,500,503,501,282,500,800,501,800,500,282,503,938,500,501,502,649,649,148,501,503,16,503,205,282,503,282,649,282,800,501,501,502,800,503,800,502,649,299,282,503,282,503,800,649,516,800,503,9,502,502,649,502,501,800,649,500,649,800,500,502,503,500,649,649,503,758,501,502,793,649,649,502,663,800,502,500,502,500,503,800,502,649,503,649,503,800,649,502,649,800,500,502,504,800,500,604,503,800,487,800,649,800,800,870,501,800,500,649,503,503,414,800,503,16,649,501,502,501,800,502,649,503,502,500,16,800,503,649,500,529,501,105,649,502,296,403,235,282,500,282,559,501,16,501,500,282,501,316,504,282,504,800,501,282,501,503,501,800,501,649,649,649,500,500,501,502,503,76,103,503,501,649,800,649,649,504,501,503,500,500,800,502,500,500,500,502,800,500,503,502,500,501,501,501,500,501,282,503,649,282,282,503,502,502,503,649,800,13,502,503,649,866,800,800,31,649,800,500,282,501,459,503,502,800,503,503,504,649,800,501,16,503,502,800,649,282,501,753,16,501,501,800,501,282,503,502,800,839,800,184,502,884,503,800,649,502,501,649,649,800,16,797,500,502,800,501,649,788,518,434,502,500,649,16,503,800,502,500,501,500,501,500,282,503,501,649,282,500,649,800,800,503,503,501,282,649,503,500,649,946,501,800,500,649,501,282,500,500,739,501,501,107,958,649,500,800,501,500,503,502,649,649,649,726,501,649,500,501,502,501,502,501,501,282,502,501,800,501,649,210,503,500,800,501,703,500,504,503,800,504,649,800,504,996,500,757,16,649,800,886,800,800,77,800,502,800,501,504,129,502,502,282,208,502,16,335,503,649,503,501,503,4,921,649,503,282,500,500,649,20,800,504,649,282,123,800,501,503,502,800,282,282,502,16,282,649,502,649,503,649,500,501,503,501,500,800,449,500,282,503,409,503,687,502,503,502,500,649,501,282,503,502,500,282,501,500,800,649,649,500,500,649,800,503,500,501,404,107,503,503,649,500,649,502,282,503,500,800,282,502,503,649,649,501,501,282,529,800,501,502,503,501,502,800,800,800,252,649,502,503,502,282,501,500,282,502,502,649,504,649,800,649,502,503,500,500,282,503,503,503,500,282,764,12,455,502,269,418,649,503,503,16,500,649,282,502,503,107,649,649,500,649,504,500,500,500,649,649,501,502,500,502,711,977,503,502,504,500,477,501,581,500,800,320,800,500,500,501,503,800,502,800,448,501,107,649,649,800,282,500,800,500,503,502,800,583,649,950,800,500,501,16,500,503,501,501,502,503,500,282,85,504,500,800,41,501,282,502,503,500,502,502,500,501,956,502,282,500,500,649,282,502,502,500,503,282,503,503,503,107,503,453,501,500,501,649,502,502,502,503,282,502,500,16,107,503,503,501,500,649,800,103,503,500,500,649,282,800,503,503,16,500,649,503,649,649,282,800,649,502,800,649,503,705,273,502,757,501,501,800,649,136,502,500,503,800,501,800,502,502,800,263,649,800,503,501,500,800,502,501,135,502,649,800,800,705,649,503,502,16,503,357,500,502,649,649,329,500,457,649,502,500,501,800,501,501,502,677,233,546,649,502,282,502,502,501,503,502,649,282,504,295,500,502,501,800,502,504,502,500,282,504,503,800,800,501,500,800,800,501,82,282,503,649,503,800,502,282,503,501,503,501,649,649,585,649,800,501,800,649,649,502,503,503,500,282,503,502,649,16,500,500,501,16,501,501,501,16,502,501,500,649,503,583,282,503,800,282,502,107,500,649,575,503,606,385,282,504,500,501,503,800,282,503,500,282,501,800,500,502,110,16,500,649,466,503,500,504,500,500,800,649,502,282,502,502,218,501,501,800,503,124,649,502,503,503,500,649,649,800,649,204,782,502,503,501,504,501,107,500,897,500,756,282,501,16,501,649,503,800,649,500,282,649,501,800,503,502,500,800,502,503,502,676,649,649,502,500,500,502,501,649,503,758,503,800,501,800,800,500,501,649,800,83,503,888,501,503,500,501,501,828,503,602,649,649,436,971,503,126,282,117,798,500,282,502,927,501,503,503,500,503,501,282,282,503,435,649,501,800,649,282,502,502,503,502,501,203,503,16,503,270,939,503,503,502,503,649,500,502,500,501,282,807,501,502,503,502,501,503,800,502,501,649,800,503,129,501,501,107,501,501,282,538,501,502,649,500,503,502,282,800,649,500,800,501,502,501,649,102,503,501,502,282,500,501,501,916,800,800,503,715,649,500,503,502,649,482,503,500,502,649,800,500,649,295,503,800,800,502,800,103,800,282,947,501,282,649,282,282,500,500,500,500,649,107,282,800,649,16,502,282,502,502,800,500,500,503,695,779,16,800,501,501,816,501,282,502,107,223,649,282,501,282,800,501,800,500,503,800,282,276,282,64,503,501,503,800,16,649,502,800,501,501,500,502,502,500,282,501,502,800,103,329,502,504,502,155,16,502,16,500,503,501,800,649,649,147,501,649,16,503,282,500,503,501,282,633,501,407,503,303,892,837,500,502,501,501,103,501,800,282,501,649,502,649,649,502,686,502,500,501,332,859,500,502,502,502,503,103,576,320,502,501,649,501,282,164,649,503,282,16,649,150,502,649,800,503,16,500,502,896,500,500,649,501,503,800,723,490,800,800,502,569,800,501,500,800,502,800,503,501,282,282,800,212,501,800,501,32,282,501,501,16,800,502,502,503,501,503,502,800,502,282,501,502,800,294,282,807,980,503,107,500,501,500,502,500,800,502,501,880,649,544,778,16,644,501,502,375,503,649,502,503,649,503,800,502,502,503,502,282,502,649,800,521,500,500,501,649,501,117,503,504,800,503,800,501,649,649,800,501,503,282,139,649,800,800,501,502,800,282,800,500,501,800,348,504,649,501,501,61,500,649,649,800,501,502,500,502,501,727,16,500,503,649,649,503,649,502,282,502,501,502,503,501,502,16,502,500,282,503,501,503,503,502,800,502,649,502,749,501,503,747,500,800,649,503,503,500,500,800,502,502,502,800,504,800,500,282,65,503,501,800,502,16,500,486,501,503,502,500,386,503,213,501,500,649,800,282,649,501,800,649,649,783,971,649,649,503,500,500,815,502,503,501,800,800,808,200,500,501,800,800,206,500,800,800,502,705,649,800,593,501,500,501,800,90,501,872,649,502,649,501,800,500,649,16,500,501,500,503,75,502,744,500,800,503,282,800,500,503,800,501,649,800,501,500,747,282,649,649,649,282,444,44,503,501,501,649,500,16,800,500,282,107,502,502,776,502,649,378,282,649,502,282,501,500,328,282,800,800,502,502,282,800,500,501,649,649,501,800,649,16,500,501,501,16,649,282,800,466,501,503,500,282,503,282,500,500,502,502,800,800,502,103,502,800,800,800,501,503,503,800,504,697,502,503,501,116,501,395,503,503,502,351,517,800,503,500,282,502,502,502,649,502,501,500,502,503,500,501,501,16,800,762,503,683,649,502,642,502,501,282,649,800,503,800,970,649,781,501,503,501,502,927,502,502,649,502,649,649,504,500,501,500,282,504,282,282,500,502,800,501,282,503,503,800,800,282,503,958,800,502,296,649,502,503,649,282,502,503,649,401,16,501,504,673,807,501,16,500,501,500,485,502,503,282,649,500,649,500,502,800,16,500,705,649,649,16,501,282,649,800,501,649,503,503,503,500,800,502,282,649,649,800,500,502,502,800,502,203,501,649,502,500,800,503,500,800,503,503,501,502,501,282,500,501,282,503,649,501,664,500,649,649,649,501,986,502,800,16,649,649,800,500,800,501,500,503,501,649,649,334,220,282,501,500,503,800,503,649,89,649,282,16,800,800,502,502,503,501,800,501,16,649,282,800,503,500,649,649,502,800,800,503,649,282,501,500,502,282,500,16,502,649,501,649,481,500,500,501,800,502,502,649,500,502,800,503,649,649,649,502,500,501,503,800,502,800,656,503,333,501,503,502,282,514,800,649,502,501,382,800,649,501,503,502,501,649,649,800,649,282,504,649,501,503,501,503,100,501,500,501,500,503,800,392,910,649,282,501,649,800,501,649,800,502,158,503,500,16,501,649,649,502,503,501,501,304,501,282,302,500,503,501,649,502,310,502,500,500,502,501,649,225,282,502,500,501,14,800,500,376,800,553,960,649,649,503,500,500,16,500,500,503,16,282,37,503,597,501,649,500,282,649,503,800,649,282,282,501,107,513,800,501,502,16,502,282,76,500,649,501,502,500,500,502,503,502,503,502,503,501,282,282,649,501,522,357,502,500,504,282,504,649,500,502,500,800,502,615,501,500,503,501,503,503,502,649,501,503,649,503,501,501,16,502,140,500,649,356,500,501,501,503,501,504,800,800,501,649,500,500,28,800,282,649,502,800,800,501,800,800,649,649,16,103,29,502,502,501,649,687,501,800,800,501,282,649,179,503,142,502,503,649,500,299,502,800,503,501,502,502,800,503,302,502,649,649,800,502,282,649,950,800,502,800,541,180,649,282,502,649,502,126,502,501,501,649,649,500,503,500,800,923,649,500,471,502,649,282,649,502,502,500,535,503,501,501,282,501,500,282,649,649,502,800,500,503,503,501,503,502,800,504,504,503,245,501,501,501,800,649,649,897,800,503,800,107,640,800,502,501,800,16,502,800,503,649,273,800,649,16,501,651,500,649,502,800,502,503,501,501,500,800,501,503,501,503,500,256,501,649,503,649,800,502,800,649,472,800,16,649,896,502,16,282,857,282,923,800,501,800,282,503,800,649,503,800,502,502,502,502,103,503,503,501,503,501,500,798,859,501,501,800,503,502,500,502,800,705,503,649,501,54,649,501,501,800,503,503,299,500,107,800,575,649,502,62,502,501,16,503,501,501,649,502,504,500,891,800,503,649,800,501,800,800,502,649,500,649,444,800,503,282,282,649,502,502,93,502,500,503,282,502,501,502,504,502,422,501,282,800,666,957,800,800,282,501,903,649,502,800,800,441,503,879,649,800,502,832,501,282,800,502,501,282,502,503,501,776,649,800,649,16,500,501,649,502,500,931,501,403,800,500,649,500,282,502,500,502,113,503,504,125,282,504,504,800,282,649,800,632,501,501,800,565,500,503,649,282,501,800,503,800,649,649,502,500,501,500,501,501,502,282,500,992,503,500,800,649,800,502,357,501,800,649,863,649,282,502,16,649,800,54,649,800,367,16,649,800,728,215,501,503,502,908,649,503,502,502,500,649,503,503,504,732,502,800,500,501,502,500,649,843,182,502,282,16,800,107,501,800,503,780,796,282,502,649,503,800,504,502,502,501,800,500,649,503,500,800,800,501,7,503,500,297,800,501,800,800,502,503,649,800,501,649,503,195,502,282,649,800,649,502,800,282,181,503,282,800,649,503,504,501,500,503,501,500,649,363,187,501,649,502,549,16,107,347,16,282,504,800,503,503,501,7,282,800,501,649,502,500,649,800,800,107,502,649,501,500,121,502,503,649,649,501,4,649,282,500,800,501,649,649,649,16,503,282,649,282,649,103,649,501,800,502,503,649,800,800,502,503,649,267,501,501,649,649,502,503,800,282,333,649,649,503,800,501,500,500,649,500,649,503,216,500,501,705,500,649,649,103,500,245,503,501,800,649,800,502,649,503,502,502,501,800,649,634,649,501,800,807,594,501,800,74,800,502,503,800,196,282,649,500,592,649,502,502,500,800,282,503,501,502,500,800,649,800,800,504,500,262,502,649,127,501,501,500,500,501,823,501,282,800,68,500,502,98,501,535,502,500,691,434,500,502,503,649,16,800,500,800,503,500,502,800,503,800,503,800,704,107,800,16,282,502,800,503,16,502,500,500,705,649,649,688,649,501,502,503,282,503,502,501,502,284,16,649,800,800,503,649,858,502,761,46,503,649,503,282,500,649,200,502,64,504,465,827,800,500,501,649,502,174,649,503,649,502,503,502,501,501,501,502,501,502,107,500,800,503,501,649,800,503,502,503,282,500,503,500,800,501,282,16,649,649,500,649,501,502,502,501,107,800,649,504,649,282,649,504,56,501,321,800,500,649,649,482,16,501,282,502,501,873,503,500,137,282,501,500,503,282,503,501,571,500,800,103,504,378,705,282,503,500,501,502,282,500,649,502,500,649,649,503,649,503,501,502,502,649,875,501,503,500,923,800,503,500,282,500,800,500,282,502,503,503,649,282,815,501,342,502,501,501,800,649,502,503,282,816,500,500,107,945,500,282,501,800,83,500,503,649,800,501,502,501,503,501,888,504,503,476,502,504,800,282,501,127,501,503,282,712,849,503,503,649,649,857,501,502,800,503,503,142,503,800,503,16,500,800,502,649,500,617,500,500,500,649,16,800,502,800,649,649,282,500,501,503,500,500,503,503,501,649,649,583,800,502,649,649,227,503,502,501,501,500,649,649,282,282,649,979,649,800,537,501,502,503,649,503,500,503,800,800,282,482,649,503,678,43,500,503,501,649,649,800,800,282,503,16,619,800,501,649,503,107,16,746,500,800,501,649,501,502,501,282,16,800,503,327,500,502,504,16,501,500,649,503,282,745,800,501,502,502,500,649,504,500,500,501,501,503,649,502,693,502,500,800,500,649,925,800,282,500,500,501,500,503,502,501,800,649,503,504,503,502,649,500,503,502,500,16,503,502,502,282,649,759,800,501,596,502,503,501,800,503,649,502,502,575,503,52,811,501,503,503,500,755,500,502,503,800,502,503,502,282,800,649,282,501,282,500,503,285,649,501,232,800,800,501,500,500,504,649,503,501,502,282,800,649,501,501,649,500,501,503,800,282,649,800,502,445,649,502,500,502,501,500,501,800,500,970,503,800,649,649,762,282,500,503,500,262,800,500,282,649,501,501,800,649,566,501,739,503,800,503,502,501,502,649,751,502,502,501,282,501,18,503,503,503,503,107,800,107,216,649,501,503,282,500,500,16,502,800,800,584,470,503,808,649,503,282,688,500,649,503,503,500,501,500,500,502,503,649,501,502,503,897,649,800,500,282,503,502,500,282,534,143,500,67,503,282,649,282,282,105,282,503,500,282,270,502,500,649,500,502,649,501,503,354,16,282,503,501,16,282,380,502,503,16,108,502,501,501,649,501,501,677,649,649,800,501,800,800,502,503,502,500,181,800,800,503,500,503,504,502,500,649,502,88,501,649,502,502,649,502,649,500,800,500,503,500,889,500,282,649,800,800,504,282,649,649,16,502,800,502,649,649,649,503,800,503,282,800,625,282,800,503,502,501,800,503,771,502,800,503,800,502,649,800,282,282,103,501,282,800,85,647,453,500,500,649,259,503,503,649,649,800,503,649,854,502,501,502,500,437,501,800,501,502,501,697,598,503,504,502,807,501,500,16,501,501,16,482,501,503,16,503,501,282,501,273,501,500,501,649,649,16,649,800,773,500,500,502,501,442,649,501,16,282,502,501,503,502,301,500,502,502,800,503,500,502,490,800,502,503,649,500,800,501,576,288,502,420,282,649,501,500,103,16,503,500,800,800,800,500,107,649,800,501,502,503,800,649,649,115,501,475,503,500,800,503,502,800,649,16,274,502,501,502,502,649,839,502,649,500,16,16,282,282,649,501,501,500,503,501,800,282,504,649,501,649,502,501,800,503,501,800,649,500,282,578,649,649,503,503,501,500,649,649,503,705,330,503,500,503,649,503,503,503,503,649,501,282,649,282,161,500,500,500,500,503,503,501,500,501,503,16,800,649,877,800,500,502,500,503,649,503,16,800,800,160,649,503,503,1,504,503,800,503,644,501,501,500,503,500,649,500,503,502,503,649,282,502,649,503,501,360,16,501,501,501,649,503,503,582,501,16,649,649,91,649,502,649,503,500,800,282,649,502,503,800,800,688,503,500,502,810,500,502,502,501,502,800,503,500,500,501,16,502,501,503,504,503,500,107,503,800,501,800,503,944,262,649,800,501,649,501,649,527,649,501,502,649,500,800,195,16,282,503,503,649,500,501,502,503,500,500,500,502,454,769,504,502,502,501,501,800,649,502,503,649,501,500,35,500,649,282,501,282,503,600,503,621,718,534,16,282,503,60,503,503,503,468,501,649,800,800,501,800,501,500,501,501,649,504,504,174,649,502,800,502,13,649,649,107,502,501,503,502,649,502,502,649,649,800,800,502,800,500,501,501,649,500,500,282,500,500,800,649,649,501,800,502,502,501,649,503,649,503,800,649,500,282,16,800,503,800,800,502,16,500,649,503,800,851,282,282,502,16,503,503,502,751,103,800,800,501,500,984,955,649,503,502,501,807,649,150,500,800,611,500,503,500,800,819,500,500,355,954,503,800,282,800,649,503,501,800,500,504,649,282,649,503,649,501,800,649,800,408,500,502,800,219,500,649,502,500,500,107,503,504,760,317,16,502,503,500,500,500,502,503,501,650,503,502,800,395,800,504,800,503,501,500,502,502,800,335,800,191,649,503,754,503,800,500,16,282,500,16,503,501,649,524,649,109,503,500,282,501,504,484,503,800,500,800,502,502,649,800,649,500,649,103,800,649,800,323,282,800,502,502,213,800,503,104,800,800,107,501,500,500,800,649,503,500,649,800,649,282,500,501,649,504,649,503,504,503,800,502,500,503,500,503,800,282,501,500,500,501,649,501,16,705,500,503,500,100,282,453,649,282,282,503,503,503,649,282,800,649,501,16,800,649,649,502,502,500,282,649,501,501,501,500,500,16,503,501,500,107,503,649,800,16,800,503,649,503,800,501,537,501,800,502,501,16,84,649,501,103,502,502,501,649,649,502,501,649,502,500,500,503,502,571,501,16,500,500,649,800,503,503,800,501,282,500,150,800,502,503,500,502,501,502,800,502,504,500,502,16,649,800,649,503,649,621,503,500,736,500,502,668,501,503,649,649,502,649,926,500,503,503,817,800,501,501,503,503,500,705,502,878,500,503,361,800,503,500,500,800,503,501,502,800,966,503,503,649,800,502,800,501,649,503,503,501,503,649,500,503,649,501,800,649,502,502,501,820,503,800,800,502,500,800,501,503,649,503,107,16,128,649,501,501,90,649,502,649,800,502,649,800,282,649,501,649,649,501,500,649,800,649,502,502,103,259,928,500,500,503,502,800,282,649,503,503,16,8,503,501,800,500,504,800,501,501,500,16,503,282,501,800,501,800,800,503,800,800,503,502,128,503,800,800,107,164,282,800,649,501,607,502,501,502,649,500,800,502,649,500,502,503,649,501,501,649,303,501,649,282,800,502,500,500,500,282,649,503,503,501,502,502,502,503,500,502,502,16,501,649,282,500,502,501,500,501,502,649,800,649,350,27,282,649,500,649,502,649,226,501,501,282,501,501,649,649,501,501,501,501,502,502,502,502,503,649,925,500,501,502,800,502,282,503,193,501,649,500,649,649,503,501,502,501,649,503,500,501,502,500,507,649,800,148,500,179,502,800,649,282,16,800,501,500,800,503,501,800,649,191,502,500,502,384,503,503,649,501,502,502,503,501,502,649,502,649,649,503,501,503,800,282,649,706,500,649,282,504,314,166,500,410,500,500,282,501,256,649,500,502,649,649,501,500,503,500,649,503,503,504,501,503,503,282,649,800,503,649,860,502,502,503,414,807,800,282,502,502,111,297,649,282,649,501,16,502,16,503,16,281,502,503,800,504,733,502,503,502,282,649,504,282,503,501,501,761,649,282,399,501,500,800,800,502,501,501,500,502,503,502,500,800,502,800,311,800,502,16,503,23,800,572,503,501,501,800,500,188,16,282,501,282,649,888,501,649,500,501,649,649,501,501,500,800,501,282,501,409,501,502,800,502,428,504,503,800,649,502,500,503,800,138,502,192,282,501,282,649,800,502,589,800,282,500,649,502,503,649,895,191,503,500,500,800,800,504,502,501,500,503,500,649,955,502,499,694,503,16,501,502,649,16,503,800,282,800,649,287,825,503,500,500,500,501,282,800,503,649,532,649,501,501,502,500,282,800,800,282,503,503,800,649,501,282,503,649,500,649,103,501,501,503,649,502,500,502,397,282,503,501,649,272,800,503,502,502,282,16,800,500,502,649,502,649,649,437,800,282,649,502,910,504,503,501,503,800,800,649,800,800,502,502,503,800,800,503,649,800,503,800,800,280,501,501,500,16,282,649,649,503,500,502,501,503,500,500,503,503,809,649,502,282,500,649,500,502,502,413,502,502,503,500,501,800,501,649,501,649,502,501,649,282,940,503,649,649,502,500,800,282,16,500,502,800,502,500,800,649,458,421,649,503,503,919,500,502,503,501,503,649,503,503,300,500,649,800,800,500,503,503,800,800,649,502,500,500,503,16,442,800,500,501,501,502,282,800,649,649,501,503,500,649,800,282,503,502,649,649,135,800,800,800,16,503,503,800,501,649,502,502,503,502,503,503,649,649,500,500,503,800,753,800,649,502,500,649,503,501,72,800,502,500,282,503,800,503,875,649,649,503,355,649,800,501,500,503,500,503,501,503,239,503,503,800,800,649,369,282,15,16,649,800,500,503,800,500,649,282,649,649,649,800,649,502,500,800,282,504,800,282,501,16,503,282,827,501,649,282,501,502,800,503,501,800,502,501,800,500,649,503,16,502,800,501,282,800,282,501,282,282,649,502,800,189,503,667,649,984,649,504,800,649,500,502,500,800,503,501,502,500,649,503,800,649,800,800,501,503,502,800,649,625,500,16,503,503,282,501,92,800,800,282,476,649,649,502,500,16,800,649,500,649,46,500,636,800,649,800,500,500,501,282,502,500,503,504,649,504,11,502,282,503,649,501,500,502,649,5,800,649,503,752,849,501,502,503,503,501,501,649,649,800,649,649,529,800,500,649,800,500,503,501,503,917,649,277,800,502,282,649,501,287,500,800,145,649,501,503,800,16,500,501,504,503,500,501,800,503,882,503,501,504,16,500,649,282,500,194,502,649,503,500,268,501,503,116,503,502,372,800,282,500,502,501,800,649,114,649,500,800,496,800,501,389,800,248,103,501,649,800,501,107,503,501,649,502,282,501,649,500,503,503,800,504,800,500,282,48,501,503,503,501,16,282,892,500,501,649,503,649,502,503,282,222,807,500,502,502,503,649,649,502,503,800,649,800,501,501,649,500,500,502,502,282,500,16,504,759,503,502,502,800,772,892,503,500,502,501,503,503,282,500,811,503,500,500,500,16,800,800,502,501,16,687,935,282,649,502,800,800,501,500,649,501,800,503,503,500,282,800,500,800,649,501,503,500,502,500,500,500,282,504,482,500,502,503,649,103,800,559,503,502,503,500,606,503,8,800,503,500,282,503,501,501,649,649,502,176,500,504,503,501,501,500,803,731,649,503,649,107,800,501,500,502,649,649,533,649,282,649,503,178,501,504,502,500,504,502,503,16,501,800,501,502,501,800,501,500,800,503,503,502,800,504,502,502,502,501,282,807,16,800,31,800,500,649,282,282,502,800,501,503,968,800,501,649,649,794,16,503,500,502,800,612,502,423,501,503,800,216,649,282,503,221,502,500,649,800,502,800,77,808,38,282,501,282,503,500,800,500,500,502,503,500,503,282,501,649,500,170,596,16,649,800,502,500,503,301,503,502,500,649,282,502,282,282,103,503,500,649,503,502,500,502,501,503,800,649,501,800,649,501,282,649,502,507,502,800,504,501,16,500,512,779,800,25,800,500,705,800,501,502,502,501,800,501,818,501,503,800,807,503,502,503,500,800,502,282,649,501,503,800,649,649,502,502,649,998,807,503,649,800,686,502,500,501,800,501,649,800,501,503,545,649,16,501,649,126,500,503,691,503,503,407,649,502,501,792,500,500,800,800,107,16,503,502,800,282,783,800,868,503,500,501,502,800,500,500,800,503,800,503,501,500,502,500,503,500,503,503,800,282,282,649,649,233,502,501,502,649,795,800,500,500,282,774,951,503,501,501,282,282,800,502,800,800,16,503,649,501,502,503,800,500,800,80,118,500,68,258,501,500,800,649,500,500,501,649,503,502,800,503,649,753,502,502,670,800,282,502,500,502,549,818,800,502,800,506,649,504,503,649,502,16,502,649,501,791,800,501,501,235,503,272,502,501,502,800,502,649,500,501,500,833,649,649,800,800,503,649,800,502,502,649,649,649,502,800,503,500,282,282,501,503,649,649,434,501,800,500,800,800,282,503,501,807,502,921,504,16,649,649,282,282,649,800,744,16,501,16,800,502,503,503,800,649,503,16,282,502,502,503,493,16,41,282,649,966,500,504,500,649,649,500,649,649,503,649,500,649,500,500,800,800,503,502,502,860,257,504,500,649,500,504,502,800,501,800,502,504,501,282,140,503,500,502,649,501,501,503,789,502,503,503,800,502,491,503,649,502,649,500,800,500,500,282,503,503,503,800,500,500,107,353,502,501,503,888,501,649,195,500,501,500,432,832,370,500,500,504,502,502,500,503,769,76,800,800,501,800,800,501,649,500,800,500,850,16,282,501,649,500,64,649,807,501,502,377,900,503,502,649,117,649,649,800,500,502,649,649,161,282,630,649,16,500,705,500,503,500,649,16,504,649,649,500,649,500,649,500,800,502,501,800,503,649,800,16,503,502,503,800,834,800,502,574,649,800,158,649,502,282,501,800,282,16,503,16,800,649,503,800,800,282,800,649,649,502,16,502,502,502,649,503,282,501,723,282,800,500,282,800,502,503,503,503,500,502,16,282,502,800,503,649,282,16,111,503,902,282,649,500,800,16,800,501,502,649,503,501,503,800,282,282,502,772,503,800,282,649,282,500,504,501,500,500,649,500,649,502,649,500,213,16,649,500,502,800,502,800,502,503,501,501,503,502,16,782,800,649,503,825,503,503,800,504,502,501,654,503,502,502,500,501,282,113,924,500,502,503,502,502,503,502,500,501,503,502,103,657,500,502,504,502,503,503,501,500,649,502,500,503,103,502,800,16,800,501,282,649,501,216,999,103,649,500,800,502,501,800,500,503,500,503,503,501,503,501,800,503,649,502,500,210,149,282,501,501,501,282,800,649,501,107,502,800,800,276,501,503,500,503,502,500,502,153,16,282,502,502,502,611,520,649,103,501,500,503,800,503,16,267,649,16,16,800,103,502,649,800,282,698,103,503,649,500,502,282,649,282,639,503,16,504,501,649,502,16,502,800,502,16,500,502,649,503,282,14,800,800,502,649,800,649,649,503,502,282,862,501,649,649,500,501,800,501,501,282,466,500,282,304,502,501,501,123,501,16,502,500,501,501,800,820,501,503,282,282,503,800,503,502,501,649,502,503,800,503,503,503,501,649,649,16,503,649,800,501,800,649,800,800,936,670,502,502,649,649,800,502,800,502,501,502,501,502,800,502,501,729,503,649,649,500,282,503,282,357,503,501,501,649,502,503,503,502,502,502,501,800,16,500,107,502,500,477,502,800,482,503,500,282,800,502,910,649,502,649,649,931,282,649,503,649,649,16,800,501,501,502,501,500,649,501,500,501,502,649,282,500,196,649,649,502,649,503,501,16,502,501,501,502,800,504,107,800,501,282,800,800,500,800,103,503,501,855,503,649,502,649,500,800,800,800,736,755,649,649,649,996,649,502,500,800,500,649,502,503,501,918,502,502,282,500,501,924,282,649,800,500,503,503,501,800,107,103,500,501,503,840,649,800,649,800,649,503,282,240,501,502,282,16,500,951,503,500,504,502,800,501,800,503,500,800,503,504,800,649,800,500,503,502,502,800,649,502,718,705,649,501,500,503,503,16,501,500,923,571,500,501,800,500,649,641,646,649,502,502,800,502,800,649,503,468,503,503,649,501,502,502,503,502,500,16,800,282,649,282,500,501,501,800,503,967,504,502,503,649,500,501,500,200,282,500,500,500,502,504,500,282,501,503,501,503,501,282,502,500,503,500,500,501,502,16,503,501,997,500,800,502,649,282,503,500,500,86,773,800,500,500,502,502,631,503,500,501,800,500,800,502,500,649,503,500,502,502,502,501,504,705,502,800,50,500,500,503,282,142,501,800,579,800,503,282,502,500,500,599,649,500,38,586,930,282,649,503,649,543,16,297,500,800,500,282,800,800,502,501,502,501,800,903,649,649,649,649,502,501,649,500,649,500,16,501,503,282,649,502,282,502,503,921,800,649,502,503,282,501,649,503,980,501,500,649,649,501,501,193,503,502,501,500,500,503,501,503,500,501,649,500,362,501,282,800,503,502,503,500,502,500,16,16,503,504,503,649,502,502,649,800,502,649,50,481,57,649,956,282,649,781,502,649,16,756,501,649,282,800,800,500,502,501,800,502,501,500,500,502,503,299,503,282,649,501,150,503,502,649,800,800,501,649,649,503,800,649,501,501,502,503,502,107,501,503,649,500,800,800,800,501,16,16,502,282,502,199,503,423,500,649,282,502,504,502,502,500,503,500,649,800,862,478,501,501,282,649,501,504,16,649,502,502,502,800,504,800,503,649,649,503,502,503,503,886,504,706,649,282,501,141,649,502,649,502,501,688,800,358,263,501,649,504,500,501,502,107,672,502,800,502,649,800,800,500,502,649,501,649,501,393,501,502,502,500,502,438,649,501,503,282,649,18,649,282,502,500,282,503,107,649,503,502,500,500,502,994,502,282,500,500,800,16,16,500,501,800,103,503,765,502,800,500,500,501,502,502,500,501,503,649,800,127,502,503,500,500,500,501,800,800,502,501,501,800,500,800,649,502,1,800,501,800,649,649,649,500,649,502,861,501,500,800,649,500,502,501,800,800,502,502,649,552,502,103,501,502,503,282,16,16,502,503,800,502,649,282,686,501,503,289,800,503,501,282,500,33,502,501,649,503,502,992,699,501,504,503,649,16,483,502,503,501,501,502,16,897,503,500,16,833,236,649,500,502,502,503,503,649,800,504,503,800,278,504,649,814,217,649,500,800,503,504,504,370,502,500,501,800,502,502,16,599,503,503,282,502,649,107,16,502,649,501,649,502,649,501,800,500,501,500,806,503,503,501,800,649,500,500,671,902,503,502,503,503,503,800,503,919,16,16,501,16,820,502,501,649,103,502,502,550,503,501,502,503,501,649,500,501,649,501,501,501,500,503,502,502,501,500,316,501,649,500,649,649,501,503,800,81,649,649,16,501,204,649,800,502,649,556,16,107,502,16,800,501,541,503,103,800,501,103,501,649,778,921,800,649,501,501,501,800,16,501,503,649,500,555,502,16,500,500,502,800,498,269,500,500,503,503,502,503,502,501,500,500,500,501,503,800,500,502,503,524,503,89,501,800,501,503,649,501,549,649,503,282,712,163,501,282,282,649,502,16,282,235,501,649,500,502,800,502,503,501,500,800,504,800,282,282,501,500,800,712,500,504,503,959,649,502,282,500,838,504,155,502,800,800,800,332,16,502,16,503,503,449,282,282,310,503,503,500,800,504,500,649,745,649,800,16,503,282,572,16,103,314,502,396,292,800,649,504,502,500,349,501,501,649,501,500,800,502,800,501,502,861,348,503,503,501,800,500,502,500,649,649,649,713,503,437,800,502,800,649,503,502,500,282,598,502,501,501,500,800,500,503,107,501,500,502,503,649,501,16,633,500,800,649,501,758,501,503,501,501,649,502,518,791,16,500,501,502,649,800,282,649,282,500,500,501,501,16,282,649,503,800,502,500,503,763,501,282,282,551,800,502,501,502,502,334,16,800,800,649,500,282,502,649,282,824,649,16,649,649,16,282,649,501,501,502,800,503,800,502,800,649,502,502,282,500,649,800,197,502,502,282,502,597,503,502,800,649,501,502,502,800,800,928,503,501,502,501,282,800,501,649,282,500,458,500,16,800,501,504,649,502,831,530,800,502,503,503,501,649,649,800,501,67,282,716,800,503,501,623,649,502,502,282,3,500,502,233,649,649,800,888,502,501,282,649,282,921,800,502,649,501,649,282,649,504,800,800,800,500,358,502,800,502,800,800,501,16,501,503,591,800,500,649,503,800,500,502,501,800,649,800,504,503,533,502,504,800,73,649,500,143,649,649,282,500,16,503,502,500,649,800,16,500,377,366,501,500,800,800,649,504,502,501,503,501,649,800,502,711,300,502,502,503,501,179,500,502,649,649,649,115,751,574,649,501,800,800,503,16,500,649,800,649,501,16,503,500,500,282,649,500,502,503,500,500,800,502,504,501,501,504,501,502,503,500,500,503,282,502,800,503,500,505,27,800,503,501,502,503,501,502,649,501,500,503,16,282,800,502,800,502,800,501,800,800,501,282,649,106,649,16,502,649,649,503,501,501,501,500,501,649,501,649,503,649,503,649,649,501,502,502,500,800,800,501,503,282,649,502,714,649,501,800,649,505,213,501,614,6,501,649,649,501,800,800,649,552,544,800,500,254,500,503,504,500,502,503,500,649,500,502,503,501,501,502,503,500,502,870,504,502,649,800,282,502,500,800,501,649,502,219,800,502,501,501,649,649,501,501,501,500,504,282,346,265,660,800,282,501,500,501,282,772,500,358,504,16,86,185,649,800,649,502,62,649,800,500,503,282,649,503,649,502,16,500,503,501,500,282,503,103,800,800,502,500,503,504,120,649,649,500,500,502,502,503,649,501,503,800,502,649,282,676,503,800,649,420,800,800,16,500,649,502,800,152,500,501,501,649,501,501,649,503,282,502,501,500,282,180,503,800,501,282,705,500,948,351,282,105,800,649,649,649,649,502,649,501,649,503,502,503,501,500,800,295,502,649,500,604,503,500,502,649,503,501,474,947,649,800,800,800,503,107,282,800,282,699,502,504,712,502,649,282,286,649,501,504,503,282,502,486,282,502,502,502,649,113,503,513,282,500,500,501,502,501,500,500,14,282,500,370,191,503,800,502,502,3,800,503,500,326,800,502,501,500,502,503,500,282,649,503,501,501,282,500,502,501,502,60,944,954,502,16,270,500,894,103,500,501,500,503,500,649,502,503,925,800,800,502,502,103,16,614,282,16,16,800,282,503,800,503,503,649,504,502,501,800,756,502,500,501,500,387,800,800,500,502,501,503,16,734,503,503,282,500,500,800,502,500,603,501,503,924,282,503,965,500,503,829,502,282,502,500,502,503,502,504,500,501,507,649,800,800,502,502,500,649,282,500,649,500,502,501,501,501,649,500,641,800,800,501,502,649,188,800,500,500,502,501,282,576,500,800,502,502,500,500,503,501,503,503,502,649,503,500,503,503,649,503,282,500,555,502,800,502,503,800,503,282,16,502,134,553,503,800,500,800,501,799,535,503,500,501,502,235,500,649,500,107,583,118,501,500,800,435,500,16,93,800,649,89,282,500,503,376,16,503,459,657,503,107,502,500,500,500,501,500,649,502,282,501,282,501,502,501,501,800,800,501,503,504,500,501,649,503,503,800,500,16,800,16,800,282,503,986,501,800,503,500,502,932,800,502,16,708,649,23,800,500,500,800,503,501,512,502,800,282,502,16,503,780,500,502,501,800,649,101,500,800,503,665,501,649,501,919,800,503,501,649,503,502,501,649,503,500,649,501,474,500,586,800,502,500,649,282,501,903,30,282,16,501,800,503,500,800,501,501,500,465,502,501,132,282,649,243,800,504,501,800,503,503,502,502,282,502,502,500,649,502,800,501,502,502,500,596,107,504,503,500,52,502,501,649,649,800,282,503,800,503,800,502,467,500,501,800,282,16,800,649,901,502,503,500,501,503,107,502,501,503,705,103,502,502,502,502,503,501,503,501,501,501,649,800,800,800,488,502,501,503,501,649,502,16,649,503,649,501,502,649,649,503,500,282,501,271,501,103,500,500,649,800,649,800,282,649,503,500,501,980,501,800,502,649,500,649,88,503,503,501,500,800,23,800,282,503,687,502,503,500,649,498,503,502,297,502,502,16,282,649,16,282,500,501,501,501,800,818,503,502,503,800,503,503,501,503,501,500,282,295,649,500,500,800,501,501,747,282,649,504,501,502,500,502,503,649,649,503,107,100,800,501,800,282,503,800,16,503,630,800,503,502,649,204,501,800,282,503,800,502,503,800,500,503,355,503,800,649,800,800,649,282,800,649,501,501,455,16,501,16,500,10,500,927,503,501,649,800,705,502,107,800,502,282,502,503,16,282,800,79,503,282,649,500,420,800,500,649,500,503,503,800,649,502,501,129,800,503,504,800,16,367,800,503,503,501,800,649,800,16,502,502,502,642,504,86,501,282,502,502,760,503,501,800,501,503,587,649,987,800,16,501,107,501,500,107,800,504,719,755,800,500,503,501,800,107,81,800,501,503,501,156,503,502,500,502,501,502,800,16,503,800,502,769,976,501,649,128,503,501,282,503,501,502,673,649,502,282,649,500,724,502,800,501,425,500,500,611,501,502,501,502,800,904,649,16,502,800,501,502,800,649,282,502,503,502,503,500,54,272,649,500,500,649,503,500,800,501,502,500,501,500,339,502,126,501,649,16,500,501,504,206,502,397,501,500,740,800,699,500,500,503,502,598,649,649,502,501,800,800,282,502,501,561,500,800,800,502,503,503,502,800,282,800,282,501,800,500,500,282,507,501,800,503,503,800,501,800,503,502,503,649,649,500,502,500,501,500,800,800,649,503,500,800,277,500,501,501,500,970,649,502,500,56,502,1,501,501,503,649,800,500,500,501,518,504,502,502,760,100,504,501,550,515,800,501,503,282,282,282,649,800,500,800,649,518,649,999,503,791,649,166,500,649,656,934,500,649,500,504,649,649,800,503,282,649,500,722,500,800,500,36,800,500,503,542,500,125,16,473,800,502,503,503,649,501,727,500,282,649,502,649,282,800,503,503,502,503,16,649,144,502,986,504,501,800,16,800,800,649,501,500,649,503,800,649,503,500,654,502,800,815,107,502,502,649,649,649,500,649,504,649,503,649,502,504,500,501,282,16,649,649,503,390,44,502,649,103,500,16,649,500,800,103,350,800,503,649,501,65,502,502,649,501,736,800,649,504,500,503,501,900,822,500,500,500,500,800,500,800,282,503,503,800,649,477,500,282,500,503,502,16,649,38,502,649,800,503,500,500,500,501,501,282,502,16,503,503,503,501,800,500,501,282,800,282,501,503,851,800,126,503,501,500,500,500,503,208,501,800,800,502,501,500,502,800,800,649,501,699,649,502,501,880,282,501,502,503,500,501,503,501,282,503,800,500,502,502,501,800,800,388,483,324,725,649,503,503,649,502,501,502,649,501,501,649,501,501,502,493,800,800,503,114,503,512,928,800,503,71,502,503,503,503,153,503,501,800,501,501,282,503,501,649,501,501,501,500,501,649,800,800,528,502,503,90,650,649,502,500,46,282,282,800,500,503,800,800,800,282,649,649,501,649,501,502,501,500,649,511,503,107,107,501,503,649,500,500,500,503,103,730,503,502,800,503,500,800,800,501,500,502,800,501,501,501,503,503,503,500,800,503,503,282,503,107,500,502,500,800,949,502,501,282,800,501,800,800,503,503,800,500,649,503,502,500,500,500,502,502,229,503,800,800,800,803,503,282,503,500,672,800,502,649,800,800,800,649,503,282,88,200,282,500,800,503,502,500,501,800,502,282,836,107,649,502,501,502,649,500,16,129,342,500,503,59,800,282,501,502,302,397,649,800,503,800,120,282,800,282,500,502,503,501,551,800,411,800,500,502,500,16,501,500,501,649,500,501,161,282,500,501,501,800,501,356,46,501,649,503,500,503,800,282,282,583,504,500,503,800,500,804,503,282,800,503,649,649,504,649,500,500,500,649,997,16,503,282,504,107,500,800,649,649,500,388,800,800,800,500,399,501,16,503,884,502,503,501,800,107,282,800,282,16,282,800,600,503,503,503,502,502,402,800,649,503,503,502,504,500,800,501,800,649,800,16,501,649,500,502,800,800,500,800,503,529,501,162,500,16,500,484,503,504,501,500,502,502,913,502,282,649,800,16,501,500,503,500,502,500,501,282,503,502,800,649,501,649,800,800,503,800,800,282,501,649,282,503,282,503,502,282,502,512,501,502,503,800,550,754,282,800,503,501,649,501,500,500,503,503,503,503,504,649,459,649,649,503,501,800,495,502,649,228,800,503,502,158,800,500,502,649,500,502,649,894,501,649,502,167,107,649,502,282,931,500,503,503,800,500,649,282,502,800,681,502,502,500,503,649,649,502,800,16,503,649,500,501,501,649,322,103,503,634,649,410,352,503,649,500,981,282,32,503,501,800,980,503,502,502,800,649,649,501,823,503,502,649,649,502,800,500,562,501,800,501,500,649,501,649,501,282,649,32,503,503,526,649,800,282,503,649,502,500,503,502,800,800,503,502,649,502,502,800,502,229,541,611,456,503,203,502,500,503,503,103,563,500,501,503,282,649,649,800,502,526,649,503,501,502,502,500,501,384,503,502,649,501,620,501,502,649,502,500,503,227,502,800,382,649,501,800,500,800,502,800,800,500,107,800,502,16,800,649,649,282,500,501,16,501,500,282,649,800,911,580,649,16,563,800,502,570,282,800,800,665,800,115,503,120,827,981,649,500,471,800,800,649,649,503,502,583,16,504,501,800,500,502,503,502,137,501,501,501,16,768,388,500,503,282,649,500,649,282,800,500,800,103,503,500,503,501,800,502,800,503,649,501,503,649,501,800,923,282,16,807,500,344,501,502,649,800,502,502,282,800,649,503,302,503,800,282,649,107,500,800,503,501,282,705,500,282,501,800,16,503,352,502,503,500,574,649,500,800,500,500,500,502,500,501,282,503,500,800,501,283,504,106,16,624,502,372,16,800,29,105,503,503,501,800,503,503,500,503,500,500,800,501,649,649,110,500,503,500,503,501,500,501,502,500,391,501,784,649,800,400,501,501,500,502,504,814,649,503,501,904,800,602,500,282,500,501,649,503,800,500,503,500,501,503,501,360,500,500,503,500,649,649,800,502,550,502,282,501,800,800,503,501,649,800,282,500,800,800,500,649,501,649,502,501,500,503,501,649,503,501,649,694,800,649,800,649,739,16,504,502,409,159,500,501,502,729,504,107,501,302,503,500,103,503,16,502,282,103,446,502,502,16,502,800,413,319,800,501,503,501,503,16,800,649,800,503,649,800,502,649,502,800,840,282,502,500,800,649,501,502,500,649,800,502,649,503,16,500,503,649,500,501,800,500,503,500,800,503,982,500,503,502,503,800,501,502,800,501,502,649,500,500,282,649,503,500,649,240,501,993,503,501,500,502,282,500,800,800,649,500,282,800,924,16,500,800,947,500,16,500,800,501,553,282,800,282,16,501,503,649,500,502,649,502,503,503,649,502,502,503,501,503,503,800,16,649,649,107,649,500,800,581,16,501,800,282,502,800,814,502,649,800,502,752,502,649,503,502,800,649,726,649,649,503,649,649,800,282,800,637,503,649,501,501,649,501,502,800,282,500,502,500,501,16,649,282,649,195,411,501,16,800,800,649,502,800,500,500,3,502,503,501,502,500,503,503,282,16,282,649,282,649,503,503,16,500,502,800,501,501,8,16,282,111,649,501,501,503,501,500,111,800,501,501,800,503,282,502,16,502,800,502,800,500,649,924,282,501,501,800,800,16,500,649,500,649,800,800,936,500,874,649,500,800,503,800,418,500,501,103,502,807,501,501,800,500,807,649,500,502,503,649,503,282,649,800,583,800,443,500,503,503,282,282,500,501,503,501,16,503,22,502,797,800,504,103,800,649,503,503,500,502,800,501,501,686,309,503,503,500,649,500,800,502,502,503,800,649,800,502,649,503,501,16,837,282,502,282,501,502,766,649,471,503,500,502,503,503,649,649,502,800,503,649,649,800,800,502,501,800,800,501,502,649,502,649,502,503,500,774,503,649,185,649,800,517,502,502,503,500,502,935,411,501,910,502,800,800,649,500,504,649,800,649,501,500,282,554,503,800,502,501,502,305,502,500,502,500,282,503,649,800,649,495,59,500,282,649,531,649,214,500,649,287,649,649,502,503,502,16,502,501,500,500,988,800,826,501,500,501,800,541,800,400,502,500,800,649,503,502,800,649,649,973,282,800,502,649,800,500,502,649,397,503,16,649,501,503,800,800,282,500,503,16,16,800,501,649,282,501,500,503,501,500,501,812,649,230,500,500,649,16,503,800,16,503,282,500,501,503,107,501,649,503,649,500,800,615,500,649,503,503,500,500,501,649,282,649,444,711,282,501,569,500,503,282,501,502,502,712,501,502,649,501,503,502,502,503,103,649,504,499,225,649,501,800,804,6,503,503,503,800,500,502,500,501,500,502,503,800,282,503,649,282,503,503,501,274,502,282,504,503,649,500,502,145,789,800,649,16,500,503,282,503,107,649,347,501,649,501,800,502,501,501,261,503,135,501,502,800,502,501,500,502,502,649,501,649,501,800,282,649,500,800,504,502,421,500,16,800,486,649,38,649,500,649,800,611,502,44,503,503,501,500,103,502,603,649,501,501,503,501,501,501,501,800,503,501,503,649,503,800,502,800,503,500,503,16,503,500,501,501,503,800,503,800,500,502,502,503,503,649,501,501,503,800,500,800,316,282,502,649,107,800,504,501,500,502,503,503,578,901,800,503,649,500,649,282,16,107,800,800,16,649,500,649,649,807,649,501,282,712,500,501,997,500,649,500,503,503,395,672,504,649,100,500,800,16,649,649,503,500,503,800,282,501,258,502,500,500,649,503,282,834,500,16,339,503,501,800,649,282,282,500,649,501,503,503,503,800,502,501,501,649,502,800,500,649,504,649,503,282,502,502,500,107,501,705,501,150,502,501,500,649,501,649,503,282,502,649,501,501,503,501,649,649,503,282,503,503,500,503,502,501,503,502,500,649,800,649,107,500,800,649,503,503,503,807,800,500,649,16,800,910,500,501,649,503,649,800,16,502,800,504,621,831,501,501,661,796,282,501,501,800,649,800,503,500,500,500,39,282,500,502,501,502,649,17,103,277,16,503,649,503,737,502,107,500,500,501,500,649,501,649,502,649,501,649,502,503,803,501,504,500,502,501,504,282,500,649,649,501,282,501,503,504,649,503,501,502,800,649,500,502,800,800,502,649,601,503,800,649,503,503,582,800,219,503,502,503,282,500,501,649,649,501,878,503,800,500,248,395,800,500,500,500,501,649,800,649,500,541,649,16,501,866,502,503,500,282,649,500,502,500,500,502,800,501,800,500,149,649,800,181,503,502,282,501,649,800,640,503,800,800,244,74,737,649,800,500,649,480,503,503,502,500,800,290,503,649,502,501,503,501,501,800,800,16,16,649,196,888,649,500,243,503,649,503,550,500,649,500,800,800,800,800,800,649,800,503,649,502,502,800,500,649,282,282,501,649,649,16,503,107,502,649,502,500,500,500,502,800,800,502,459,503,500,800,503,800,649,502,501,503,501,500,503,800,649,503,16,500,224,16,800,800,575,503,282,503,800,800,800,74,95,501,649,501,800,502,500,800,707,502,27,502,282,501,16,502,502,503,807,499,503,435,501,501,800,500,500,503,501,502,649,282,16,179,504,501,800,649,800,800,282,503,502,502,979,503,797,502,502,649,800,503,728,500,354,500,501,501,501,502,502,502,500,800,503,502,501,282,800,500,503,500,800,800,503,500,800,502,107,800,490,411,800,800,800,800,282,502,501,649,504,800,504,501,500,800,16,282,500,500,649,501,503,500,502,500,502,282,649,500,800,501,282,503,800,649,282,649,503,502,503,500,800,800,282,800,16,501,501,876,500,502,502,501,500,16,503,526,649,502,502,501,649,502,924,800,501,502,800,649,501,604,16,649,800,649,503,649,649,649,800,649,501,501,503,501,800,282,500,502,503,501,649,649,501,11,502,898,500,103,649,334,503,500,649,501,649,800,649,649,282,502,503,800,502,502,501,501,501,500,649,649,500,649,649,16,800,503,504,502,500,649,16,500,800,502,720,503,503,500,500,503,800,800,694,282,649,504,800,16,282,502,649,501,800,502,501,637,503,501,282,282,500,500,503,500,649,504,546,501,501,501,800,693,649,502,502,649,16,649,282,622,16,800,562,649,649,502,282,800,476,282,705,649,729,800,649,431,503,502,502,502,502,853,282,501,501,503,918,501,503,115,503,16,501,437,500,500,959,282,16,28,282,503,500,649,880,502,500,16,187,503,501,800,282,81,16,466,326,365,503,501,649,501,502,501,500,502,800,503,773,947,649,500,649,649,501,502,973,503,519,500,510,800,501,503,800,649,649,503,282,282,800,502,502,649,282,502,500,16,500,649,800,503,502,500,501,800,655,503,502,500,16,502,502,18,800,649,950,503,503,448,649,800,282,503,649,649,500,500,500,500,309,800,502,649,501,500,503,502,500,502,503,282,800,500,501,107,282,503,502,282,502,800,244,282,800,800,500,217,340,501,502,800,501,649,16,800,649,503,649,500,501,501,649,500,501,501,800,800,498,649,503,168,500,800,502,16,649,501,800,503,649,649,649,282,609,649,502,500,282,22,800,649,649,931,649,502,500,503,500,649,501,16,502,501,503,649,501,502,649,501,503,503,636,502,581,649,800,649,500,800,500,16,503,649,502,649,800,504,504,501,502,282,103,831,347,649,282,503,282,502,503,502,649,503,504,223,282,800,649,800,501,500,800,503,503,503,502,500,500,501,501,501,649,503,649,503,645,500,502,500,757,800,504,800,800,504,649,229,16,282,800,500,503,800,503,500,649,504,649,675,232,501,705,501,756,501,322,501,500,503,518,800,502,504,503,800,800,500,500,649,800,500,500,502,282,500,799,649,16,501,284,500,825,502,636,649,503,282,800,649,503,16,503,500,807,904,649,501,502,502,649,800,859,501,800,501,649,500,501,800,504,503,103,800,16,16,503,337,500,504,178,150,16,282,500,501,800,498,501,502,800,649,501,649,649,501,501,800,503,649,503,500,649,649,16,800,282,502,501,247,16,800,503,503,501,649,800,501,500,500,649,286,800,282,500,63,649,800,649,622,160,501,502,501,610,501,277,800,649,503,16,503,800,649,800,125,800,649,501,500,500,502,502,500,501,649,501,16,800,500,501,500,503,282,500,800,800,868,501,282,107,503,282,661,188,800,800,9,649,651,503,500,500,501,500,501,501,639,500,282,800,502,649,800,800,504,501,557,282,501,501,502,800,500,649,502,502,800,800,501,501,503,501,649,500,500,800,649,649,800,649,301,503,502,501,526,320,500,649,800,502,500,501,649,649,649,649,800,800,649,649,503,10,16,282,502,500,500,649,649,500,823,500,294,84,465,501,760,302,503,502,800,501,500,502,282,502,53,649,502,502,502,502,800,800,446,501,502,501,822,649,777,502,554,649,800,800,502,355,501,453,502,501,754,502,282,932,503,500,16,502,501,502,504,502,391,500,500,501,239,649,282,500,800,501,500,912,705,282,500,504,500,500,501,502,502,282,503,800,503,500,502,503,500,502,800,502,282,800,501,500,800,800,501,800,541,502,800,503,649,501,649,503,502,649,916,649,502,649,649,504,503,282,503,503,500,501,800,58,282,649,282,649,991,282,649,649,800,503,502,649,502,649,800,501,368,649,502,503,500,503,502,499,501,500,649,502,500,500,503,800,503,996,503,500,500,503,649,502,501,503,649,501,503,500,649,502,503,502,649,504,512,503,26,649,154,800,142,504,147,800,501,800,842,800,649,500,566,500,649,504,501,16,16,503,501,885,500,502,503,800,502,500,16,649,649,649,502,800,503,501,800,503,500,715,503,503,503,502,282,501,504,501,501,800,503,503,502,800,800,649,800,800,503,58,503,282,800,503,412,800,997,649,800,500,649,800,500,649,649,649,649,800,502,800,501,503,500,800,502,501,800,800,649,649,502,501,282,649,649,503,649,502,649,16,501,501,503,282,282,502,409,500,800,502,503,503,503,800,502,800,503,502,502,501,800,800,500,503,501,282,500,503,502,800,649,504,503,16,800,675,501,503,501,502,800,649,503,503,502,16,800,649,503,649,503,500,501,43,503,555,282,282,282,282,501,502,502,649,649,501,501,865,502,282,502,571,800,800,649,502,500,503,502,800,501,500,282,501,501,502,500,500,800,501,282,500,500,16,800,800,282,504,503,649,107,649,503,222,502,500,649,800,502,16,503,706,649,649,649,124,445,502,914,503,502,501,503,13,800,649,501,503,501,502,995,502,503,500,345,501,500,501,649,282,282,503,16,649,500,500,502,501,864,649,503,800,503,800,500,502,504,500,500,649,502,282,282,502,503,649,282,504,705,500,502,773,503,800,503,523,503,500,897,800,794,501,502,501,503,501,501,649,500,800,649,800,649,800,500,637,500,282,500,502,649,501,503,503,800,800,502,13,501,570,502,501,503,16,208,800,16,800,502,500,649,501,872,503,502,850,16,503,500,501,649,500,282,727,502,16,501,804,282,282,501,115,16,567,107,506,649,501,282,649,502,282,649,502,500,445,282,800,502,649,800,649,800,800,16,500,500,282,649,794,800,874,501,501,500,502,800,79,709,282,26,503,800,503,502,649,649,501,16,478,649,538,763,800,649,500,500,501,282,504,501,800,798,800,500,503,800,287,501,502,649,503,500,282,503,501,501,649,85,503,500,502,502,502,649,800,503,16,502,649,282,501,500,502,501,502,282,503,501,500,366,16,502,800,500,502,500,503,500,675,649,502,800,501,502,800,503,282,502,500,503,438,107,501,16,800,846,504,425,994,500,502,909,517,500,649,800,82,649,282,35,500,800,502,501,500,800,649,715,501,800,501,503,500,103,503,649,282,503,501,985,45,652,500,317,723,504,501,725,800,386,649,501,800,502,501,705,282,501,800,635,800,649,922,800,500,500,800,396,649,282,800,503,649,800,502,700,501,71,314,504,502,139,501,501,649,282,504,800,651,991,800,503,800,16,500,500,543,502,501,502,501,649,504,282,503,924,501,501,834,649,649,800,859,649,503,649,107,500,503,649,500,800,500,130,268,282,503,835,503,501,925,800,503,502,16,500,502,502,37,282,502,800,21,502,503,503,503,282,800,503,502,196,311,501,649,501,649,500,500,894,649,501,501,800,649,16,502,502,502,282,501,501,503,761,649,502,500,503,502,649,501,16,500,649,649,649,702,500,501,16,502,503,800,337,649,502,501,278,226,502,502,800,503,800,967,500,282,16,705,500,500,649,502,800,500,500,501,500,800,649,282,800,502,649,800,189,502,503,649,500,503,500,503,68,800,503,282,426,649,502,800,649,649,800,282,502,649,800,501,649,282,500,501,502,500,282,501,501,282,649,652,501,502,500,107,500,510,502,741,503,880,501,98,500,155,502,411,800,500,502,502,504,503,282,500,503,659,502,649,502,800,649,502,502,502,500,501,501,800,649,800,211,800,800,502,501,16,500,502,502,502,500,800,502,934,649,282,501,500,502,800,504,500,500,503,501,800,734,122,282,625,501,503,16,503,501,649,16,649,282,800,525,16,496,33,500,504,649,501,649,16,501,502,422,109,503,282,559,502,501,107,500,800,501,621,500,649,502,501,502,501,165,500,500,649,16,501,649,502,923,501,668,503,502,800,504,500,16,501,502,282,800,502,282,282,282,501,649,502,503,501,500,800,501,282,501,800,500,215,551,800,502,59,503,503,843,800,502,800,501,503,282,500,504,500,107,543,500,502,800,104,282,501,501,502,477,649,46,860,800,828,500,501,32,500,501,800,800,822,501,649,500,501,800,501,16,649,282,501,502,800,500,800,649,500,282,500,501,649,754,800,800,501,800,502,503,800,502,800,500,502,500,501,503,500,502,649,502,501,501,501,649,503,502,501,649,503,282,705,107,16,500,500,516,649,503,500,502,500,649,649,503,501,649,817,503,502,501,500,501,502,503,295,649,649,502,649,501,649,501,375,500,282,16,800,477,502,502,503,812,501,649,800,800,649,282,649,800,478,500,501,649,800,500,501,532,282,800,16,502,282,501,649,502,282,501,503,500,800,858,502,800,800,649,800,503,649,502,500,502,500,501,500,800,502,800,282,500,660,282,800,649,500,800,649,501,502,502,649,502,503,649,16,502,503,800,500,103,16,503,500,282,501,503,503,500,800,800,612,800,16,501,502,502,501,282,502,500,500,503,502,500,16,502,502,282,504,767,16,500,502,502,501,500,800,502,312,649,649,649,649,16,800,601,282,649,649,649,897,502,649,500,502,501,282,501,501,504,800,649,800,282,800,676,649,501,502,500,800,501,500,503,800,800,502,502,501,800,501,974,800,611,500,503,500,16,523,503,649,800,106,800,978,804,502,183,501,501,107,501,501,500,503,501,649,502,800,649,502,16,503,649,502,501,800,503,500,817,649,282,501,501,503,502,16,501,16,649,503,502,479,502,502,501,502,800,503,16,480,500,501,304,800,649,503,500,503,649,800,800,502,237,800,800,800,500,501,146,799,649,500,800,500,500,501,502,800,811,501,502,503,503,500,282,500,800,800,492,503,649,500,649,503,343,501,502,501,501,282,502,282,16,649,500,169,826,502,649,649,503,800,800,503,501,502,501,504,649,500,502,947,501,500,503,503,107,503,634,500,501,501,503,501,649,107,800,500,503,800,502,500,500,623,649,502,649,500,588,282,649,501,282,500,460,407,502,107,800,792,181,107,502,649,649,503,503,16,184,649,649,500,251,649,500,502,16,500,800,500,448,800,503,649,500,500,501,500,501,800,502,503,282,282,500,501,103,543,282,736,649,502,503,502,503,16,503,282,502,503,500,9,500,501,649,502,502,649,502,800,16,503,282,503,649,800,282,282,500,501,800,501,504,361,800,503,649,503,830,649,649,501,503,800,501,501,502,503,649,616,282,16,800,800,500,501,483,503,800,503,973,282,649,501,501,501,500,649,502,500,649,502,500,500,501,304,500,108,409,282,500,501,503,502,267,503,501,500,649,282,103,503,502,38,282,500,504,502,800,800,502,649,16,502,503,500,16,16,649,502,649,500,800,649,502,282,503,503,501,649,800,504,16,501,501,500,502,503,500,501,649,720,16,649,800,500,800,503,500,500,649,800,502,649,16,282,500,103,857,800,500,620,800,903,502,502,501,16,800,701,649,103,502,502,500,572,16,583,501,501,501,501,500,71,649,502,503,502,649,599,649,107,502,503,500,282,856,500,239,649,503,501,800,501,282,500,500,503,502,500,649,282,649,649,500,503,732,503,649,16,783,16,800,800,500,800,925,500,501,800,501,501,800,502,500,501,503,649,800,503,501,649,501,598,501,107,501,69,800,503,502,501,649,504,503,503,502,501,649,282,649,909,7,282,800,500,649,649,503,16,958,502,502,282,500,501,800,800,500,940,502,649,501,502,800,501,502,500,649,501,503,501,500,501,500,502,500,554,500,649,800,503,282,649,503,282,500,503,22,438,501,649,219,500,743,501,502,800,588,502,800,501,282,501,800,501,501,500,500,649,282,800,500,503,16,503,500,500,649,289,502,649,649,502,503,800,502,500,501,501,282,503,502,116,501,578,870,705,800,800,800,501,503,500,444,503,800,69,500,800,649,500,501,637,503,502,704,500,502,282,500,596,500,502,26,502,66,503,503,502,800,503,501,39,800,800,502,500,170,502,501,500,454,800,685,103,763,107,503,547,502,250,800,503,800,502,500,282,500,800,501,299,500,800,502,501,500,649,501,500,716,649,282,501,503,502,282,440,502,962,282,800,800,500,123,282,235,649,800,16,800,436,649,649,500,282,800,421,503,649,502,501,503,781,103,503,800,501,502,501,781,502,786,503,500,995,510,500,967,649,649,649,503,503,800,800,503,500,500,326,503,800,501,800,501,503,800,502,502,970,649,800,855,500,500,282,800,800,500,282,502,501,504,502,649,978,282,800,501,800,800,500,944,649,732,800,504,502,502,282,500,282,503,502,501,501,649,504,502,502,501,282,282,503,501,248,503,500,501,503,503,501,16,502,649,649,502,501,502,800,503,503,503,501,800,282,501,503,503,503,148,504,502,490,154,103,500,500,502,649,502,501,503,503,501,501,500,16,649,800,501,502,25,500,16,649,649,107,800,500,800,282,800,501,503,500,501,649,500,649,107,503,501,899,500,96,500,501,502,502,800,502,757,502,501,501,504,501,500,649,800,502,800,500,800,197,800,503,503,107,503,503,800,500,502,649,282,282,502,665,503,210,404,16,498,800,500,279,359,503,16,502,649,282,345,503,800,16,500,503,503,500,503,649,800,503,501,500,145,800,748,79,282,501,16,501,800,800,800,751,500,502,501,500,589,502,501,502,282,282,649,504,800,282,500,649,500,16,501,500,282,500,503,649,503,503,800,48,500,649,649,649,16,800,502,501,800,503,501,500,767,501,500,649,800,503,16,591,501,721,998,649,501,500,501,800,501,282,503,501,502,78,503,649,500,502,649,16,632,16,649,282,649,16,221,500,502,501,16,502,713,502,649,501,649,609,503,503,649,282,500,649,503,500,282,501,504,557,502,953,800,500,649,501,800,16,503,800,649,800,800,871,503,135,501,501,502,500,500,502,501,502,500,500,800,502,503,800,503,232,597,339,501,502,502,282,23,501,500,503,800,502,501,501,503,424,500,501,835,789,501,503,7,649,649,282,503,559,503,603,502,501,649,800,500,282,501,501,649,500,502,800,504,649,282,501,649,500,501,503,759,861,502,282,503,503,502,502,502,649,800,282,502,282,503,720,16,332,795,282,500,967,649,501,501,501,500,800,649,800,282,501,542,649,500,502,800,500,800,674,800,649,800,502,503,649,800,502,800,500,501,800,276,649,502,714,500,255,503,501,800,800,800,501,446,500,649,500,800,500,649,501,955,295,649,16,503,502,501,16,649,705,502,648,501,16,282,502,503,103,891,649,323,503,500,651,800,843,649,800,503,502,500,500,282,649,929,503,16,500,800,503,16,503,282,649,503,649,503,501,450,503,800,502,915,500,16,502,500,500,503,502,16,503,503,500,649,800,501,501,692,800,649,649,967,500,649,501,501,501,381,503,502,501,800,500,282,428,800,502,501,649,503,501,501,502,501,501,800,282,502,502,800,500,502,649,800,649,500,501,800,500,535,282,503,502,502,881,502,282,502,501,800,501,800,607,649,649,887,501,282,282,501,502,24,649,502,501,503,501,502,54,16,502,800,502,107,502,503,800,501,800,416,16,649,107,501,800,502,723,282,500,974,501,653,282,503,503,282,500,503,391,649,503,800,649,800,119,501,501,800,502,500,501,501,800,282,501,502,503,419,649,503,500,649,282,501,800,500,503,800,800,800,16,503,501,223,503,503,649,503,800,504,500,649,223,502,649,501,503,649,648,502,501,501,502,649,807,623,553,502,503,282,501,501,649,501,800,282,800,502,502,503,282,800,502,501,500,908,501,500,501,649,504,503,282,649,107,362,500,800,501,282,501,800,502,649,502,106,500,282,500,502,501,800,500,800,800,501,797,501,500,429,503,502,800,503,800,502,16,503,501,508,503,502,500,282,502,649,649,282,502,503,282,501,500,500,501,649,502,502,282,503,500,503,503,282,800,502,649,800,504,501,800,649,503,16,500,503,533,952,503,649,800,500,504,649,502,502,502,282,501,503,649,800,800,282,649,756,503,895,501,649,649,282,503,500,282,800,501,800,16,800,503,418,282,502,282,501,817,282,20,800,800,649,502,502,501,282,503,501,503,504,800,503,503,501,649,16,554,503,282,501,500,501,800,610,501,502,501,393,800,503,304,16,502,502,504,503,502,649,800,500,649,502,649,503,649,509,501,502,800,501,649,501,500,501,500,800,501,501,16,500,649,500,282,503,649,649,502,500,800,641,503,503,853,502,879,649,604,800,501,500,501,502,649,503,16,510,927,501,502,800,500,503,649,503,666,502,503,791,800,502,244,500,500,800,282,800,501,500,282,504,500,198,500,500,763,836,503,121,973,501,266,363,649,500,501,800,649,502,503,502,649,503,502,502,617,500,503,800,649,502,502,500,957,501,370,649,800,247,502,502,142,501,500,800,282,649,503,502,282,800,500,282,502,807,800,282,800,503,312,892,503,800,500,503,500,957,503,500,505,501,800,501,503,649,501,501,800,649,649,528,691,503,282,867,649,502,649,501,800,800,500,502,158,500,146,16,327,502,501,649,502,502,349,503,502,376,501,16,800,502,500,100,501,649,501,502,500,502,807,800,503,500,800,503,282,501,800,649,800,800,649,407,500,503,793,93,479,500,502,649,502,500,501,16,501,800,615,500,502,503,16,502,567,112,503,649,649,800,574,501,500,501,16,501,501,800,501,282,501,501,187,502,282,502,500,502,502,705,500,800,649,501,501,503,500,532,500,501,588,500,800,717,502,503,16,503,649,686,504,800,500,282,771,500,800,318,800,502,800,737,500,922,800,649,860,502,769,800,502,649,800,16,603,503,16,502,685,649,649,500,649,502,786,501,500,502,503,501,503,800,649,503,503,500,503,502,655,503,612,501,502,501,502,503,501,800,800,63,501,800,800,800,360,500,501,501,500,649,800,502,705,800,503,503,649,500,282,107,503,691,705,170,504,500,278,502,107,503,503,800,502,649,500,501,504,502,501,322,800,107,501,502,649,502,503,501,504,282,246,504,503,299,282,315,649,649,649,649,800,649,500,502,500,503,649,282,500,500,503,500,491,282,503,746,503,282,502,746,16,504,649,130,107,813,502,501,501,107,649,500,800,501,199,503,501,649,502,16,477,800,953,503,649,502,502,875,500,208,982,16,962,501,423,649,503,500,800,649,649,800,501,705,501,502,504,16,282,649,239,502,500,500,328,503,800,207,627,501,649,504,500,800,649,800,502,983,500,503,800,282,500,649,501,618,800,500,503,292,649,282,937,16,107,16,501,503,649,263,494,800,501,800,502,503,115,649,500,800,501,95,45,16,503,646,800,503,800,503,649,649,503,500,649,282,501,705,501,282,282,500,503,500,649,800,800,649,598,503,649,502,107,649,502,503,800,500,502,426,649,649,503,705,800,501,502,649,502,501,503,649,282,16,282,649,500,649,502,73,502,501,991,649,501,500,960,649,282,503,16,501,500,502,501,501,501,500,470,502,501,502,501,800,503,502,16,503,500,500,502,502,649,501,502,649,211,800,502,500,502,501,107,306,282,502,103,446,16,270,503,503,502,500,107,500,501,667,655,502,501,503,503,282,503,694,502,395,649,500,503,504,503,16,800,649,501,501,504,964,503,502,504,649,482,800,649,503,503,739,501,501,500,803,503,282,500,800,800,503,649,282,501,503,503,502,800,649,282,502,649,674,502,649,504,282,502,504,800,500,503,162,649,502,649,667,502,649,578,500,447,135,502,502,649,649,501,503,901,649,980,501,503,503,502,140,501,615,800,501,649,501,800,503,169,282,103,796,502,800,503,800,503,503,504,500,502,500,503,502,503,504,501,800,510,649,282,501,503,500,649,501,503,800,16,800,502,662,982,501,503,501,500,500,649,500,500,501,282,518,501,500,282,500,649,500,116,800,282,107,500,502,501,500,649,754,502,800,501,502,282,502,352,800,649,502,282,503,502,103,800,502,502,503,501,503,649,501,282,503,501,500,800,625,501,48,502,502,503,500,16,237,800,649,800,503,649,501,501,501,500,500,800,500,358,503,503,500,502,800,502,800,503,500,500,503,282,649,649,617,800,282,800,501,649,800,800,282,800,649,649,23,16,649,501,282,501,500,649,503,800,16,649,649,598,800,503,502,501,503,16,500,649,502,501,800,633,649,800,163,2,800,800,503,800,800,649,502,282,500,503,889,649,500,501,500,500,649,107,800,16,500,5,649,501,503,800,500,649,16,503,502,502,501,503,282,503,649,502,649,649,16,501,500,502,500,282,557,685,502,501,649,500,800,875,250,503,503,503,501,502,800,16,502,282,649,800,500,16,800,501,444,503,517,800,800,800,800,282,502,502,503,800,502,802,500,502,504,649,503,500,500,800,282,503,649,282,800,16,501,500,501,502,800,282,500,354,502,502,503,819,503,500,656,500,282,649,800,500,121,503,504,503,503,501,282,501,800,501,502,649,800,502,500,103,311,503,649,501,282,649,503,503,501,500,500,16,16,649,800,282,649,502,800,502,800,503,649,282,500,800,556,501,500,501,282,502,503,649,503,649,501,504,800,501,282,502,503,649,800,500,502,439,500,502,800,504,501,500,500,501,502,649,649,504,649,501,800,649,503,800,16,134,649,800,800,800,800,502,502,341,503,501,503,597,507,800,502,501,503,597,503,500,500,501,649,502,502,502,282,500,502,649,502,282,807,282,800,114,502,107,800,502,502,278,800,501,800,800,501,649,502,800,503,504,649,502,502,500,800,500,500,500,800,649,800,671,649,501,501,16,503,282,501,501,503,800,502,833,465,501,649,503,649,502,128,872,103,502,649,501,649,502,503,501,501,736,500,800,502,500,800,503,107,501,503,968,502,547,500,282,501,649,282,800,471,282,501,949,800,800,500,502,501,649,500,503,501,501,800,501,561,317,501,461,807,84,282,800,154,282,800,501,107,504,501,179,501,504,501,282,800,500,649,886,800,800,282,500,282,139,500,502,800,503,500,503,649,503,501,173,547,800,502,502,500,502,726,800,972,502,503,969,502,502,500,800,649,750,263,84,501,501,282,800,503,499,503,649,282,503,649,503,501,501,503,501,16,282,740,487,282,649,800,503,16,503,524,308,504,586,500,501,649,500,501,500,503,934,649,649,800,500,501,772,649,500,501,500,16,503,500,800,502,649,800,500,503,501,501,501,503,801,649,504,500,649,800,502,502,282,502,16,649,502,500,503,649,597,500,502,501,503,502,502,503,282,298,502,800,502,501,800,500,502,502,500,282,282,501,282,800,503,800,649,502,501,500,503,503,282,500,649,501,565,502,649,502,649,500,503,503,502,807,503,502,800,129,16,502,501,501,503,501,649,694,282,502,282,502,503,503,501,16,502,800,688,500,649,52,282,16,302,107,649,501,501,503,500,501,282,504,503,16,800,649,503,501,800,503,800,503,800,132,706,649,416,503,649,501,107,502,649,501,369,800,649,649,501,109,503,800,502,522,500,891,649,501,107,649,16,282,282,501,501,573,649,500,501,649,16,500,501,503,503,501,503,800,848,503,392,775,500,58,800,502,503,634,500,502,500,282,649,604,96,501,501,800,282,500,500,649,16,937,501,217,500,16,500,500,828,502,665,503,282,503,649,502,649,502,503,500,502,800,282,503,500,503,500,649,501,501,500,649,501,616,800,989,103,502,500,800,500,16,503,649,500,800,282,503,404,649,503,501,501,500,649,649,503,800,501,282,500,800,503,500,282,501,38,282,502,800,503,231,16,649,502,16,649,503,918,503,502,16,129,649,649,500,503,500,503,649,519,297,873,649,503,500,791,502,503,916,503,649,800,501,502,800,649,761,662,649,503,503,360,502,16,501,502,919,800,501,503,501,503,501,502,819,501,504,175,282,67,282,501,63,649,504,502,649,502,649,503,800,500,500,501,800,501,199,1000,97,800,800,607,503,501,649,502,503,503,503,502,500,500,500,705,895,502,969,501,500,800,649,103,173,501,502,500,502,800,649,282,802,800,502,500,800,800,502,502,649,288,431,649,649,649,800,503,649,503,800,502,503,502,501,649,649,27,962,500,649,282,800,282,502,500,649,800,500,503,649,502,532,502,16,500,500,800,501,242,500,800,500,800,500,862,649,800,501,282,500,649,501,501,800,502,501,502,16,649,649,500,282,5,502,107,649,800,503,501,503,800,502,800,649,502,800,800,502,649,502,503,500,501,502,800,649,501,800,503,500,500,649,502,500,649,503,16,502,516,500,503,502,504,649,502,838,503,649,502,800,503,38,800,501,502,800,501,705,501,503,501,800,502,649,500,16,502,800,501,500,500,502,100,790,501,501,503,800,800,800,16,113,501,500,501,503,501,503,16,501,502,219,503,501,500,800,503,500,500,649,800,503,500,649,282,503,54,502,501,795,502,800,16,501,649,800,649,500,367,500,502,503,500,800,502,502,800,282,649,504,500,502,649,502,800,502,503,253,800,282,649,503,718,282,501,500,503,503,800,502,16,800,436,16,800,282,282,800,800,374,800,800,649,501,16,649,500,591,501,800,500,800,800,500,659,502,349,503,800,800,800,16,501,282,501,649,53,502,500,501,70,501,501,649,500,800,649,501,649,649,800,649,502,684,502,649,501,272,502,800,502,503,503,800,16,489,500,649,501,503,456,502,503,128,503,282,500,800,503,500,501,616,503,649,800,49,282,500,500,893,282,649,800,800,800,649,500,501,16,431,500,500,503,965,501,502,501,501,800,501,502,503,800,800,501,502,501,796,684,649,503,503,501,16,649,282,649,800,500,501,107,282,16,500,16,800,502,501,500,649,415,47,501,502,501,279,800,500,500,322,800,500,504,27,800,501,500,501,800,649,724,649,146,800,501,620,976,800,770,800,500,500,500,502,649,502,16,501,503,535,502,502,502,502,649,800,800,501,282,16,501,649,18,502,121,500,282,800,502,649,282,649,502,500,649,502,500,70,649,501,502,502,503,800,500,504,877,649,649,800,501,649,501,501,502,800,79,16,800,800,500,500,800,501,501,800,107,502,282,649,504,649,649,800,501,800,800,800,503,649,800,800,504,503,800,501,500,328,800,649,282,649,502,500,502,967,500,500,504,502,503,649,501,318,501,174,94,502,503,649,44,262,503,290,649,503,800,806,501,282,503,500,501,503,649,282,649,500,502,501,501,501,500,500,800,7,500,649,771,503,649,282,649,495,503,107,649,252,800,502,502,500,282,16,800,253,502,502,282,502,502,800,503,503,800,502,503,501,502,502,519,501,501,502,500,501,921,649,502,502,500,503,503,500,503,501,76,866,282,16,992,500,500,502,502,827,501,501,107,352,502,550,123,500,503,296,16,502,503,502,500,502,103,502,500,501,649,649,800,282,16,501,500,800,649,649,282,282,502,503,500,502,501,705,800,501,500,503,800,68,800,649,800,649,504,18,500,649,501,649,503,501,503,800,503,649,991,107,500,16,500,677,503,800,857,800,649,649,42,504,16,501,649,108,502,686,264,463,649,649,649,800,649,500,502,446,501,502,503,500,501,874,502,746,800,649,649,503,282,501,649,649,502,500,503,282,800,503,649,282,16,963,649,649,500,427,282,800,501,503,107,649,800,501,501,649,502,649,800,649,503,723,502,649,501,800,649,282,500,501,501,501,282,502,503,501,500,914,501,800,16,800,501,503,826,649,502,282,500,501,502,502,800,500,282,500,503,501,964,503,501,500,800,800,16,582,976,16,16,502,503,774,649,502,800,500,500,500,502,504,957,649,500,500,502,503,500,41,500,619,500,503,501,502,649,501,282,16,800,501,501,502,501,502,760,502,43,168,502,954,502,792,28,502,503,649,800,502,500,649,500,500,800,282,332,503,503,416,32,800,649,282,500,282,800,502,502,502,246,800,649,165,649,503,105,502,800,502,500,880,649,503,800,649,500,16,503,500,500,331,800,649,237,501,287,501,16,501,800,503,503,503,500,503,502,649,501,649,282,502,502,502,649,503,502,16,277,502,354,865,502,503,503,502,282,800,107,180,503,503,503,502,502,502,282,503,502,282,800,261,649,502,502,503,800,649,503,649,649,16,503,800,503,524,649,500,1,800,500,153,649,501,282,501,503,282,800,800,502,502,282,282,500,500,500,503,503,503,264,502,501,800,370,282,800,500,16,501,482,642,502,504,800,503,649,282,649,501,500,501,107,503,884,502,506,503,500,501,502,800,503,800,649,500,503,503,501,502,503,500,800,16,501,503,649,501,500,282,669,500,107,504,502,649,500,500,501,501,649,502,502,649,649,800,282,502,503,501,502,502,500,501,16,504,502,649,502,800,502,500,649,501,649,649,501,502,755,649,800,649,502,502,500,500,502,503,501,800,807,501,649,500,649,500,282,500,502,998,649,649,500,995,500,800,500,649,502,800,103,649,501,659,800,503,282,500,503,282,502,282,501,649,16,649,501,425,649,733,649,107,649,503,501,800,502,282,501,503,649,503,649,501,800,502,487,503,502,502,501,800,922,107,500,501,502,103,649,503,503,501,502,502,502,502,800,800,741,649,851,503,503,800,500,501,755,500,800,282,800,503,800,500,649,800,800,501,800,500,500,502,503,500,649,800,800,503,501,500,649,282,502,649,800,16,607,800,500,503,502,503,282,501,502,282,500,502,500,649,501,500,649,800,503,500,500,649,503,502,282,501,266,282,763,501,502,502,502,800,800,649,16,800,500,800,564,746,282,16,181,501,205,282,800,501,103,503,500,7,501,502,502,501,503,326,500,501,649,500,502,500,501,649,16,785,500,500,501,122,800,649,500,503,649,501,503,501,688,500,282,503,282,503,500,500,503,455,107,609,500,845,800,501,501,500,800,649,800,66,500,800,502,503,500,800,501,800,649,503,282,504,229,500,504,502,800,501,649,502,500,649,362,502,800,502,501,649,282,705,502,501,502,282,649,502,501,800,501,16,649,800,500,800,559,503,22,282,387,282,800,501,501,800,503,649,502,649,504,649,649,504,649,501,649,649,800,503,500,502,503,567,500,16,800,501,282,282,4,96,504,800,503,500,800,649,504,500,662,800,501,16,16,504,632,500,502,503,800,500,500,501,501,502,502,649,501,985,649,500,501,500,649,282,800,503,103,501,649,649,500,649,282,501,501,800,649,545,500,500,980,501,502,538,800,233,504,501,502,394,501,649,502,649,358,503,649,501,282,113,501,990,501,800,501,501,16,16,503,503,500,282,500,502,282,419,500,502,501,501,335,500,502,282,649,16,500,501,502,282,503,282,800,500,649,649,501,500,800,649,502,800,649,502,502,502,115,969,649,503,677,501,501,500,16,927,800,16,502,399,501,897,826,282,500,649,503,103,649,649,488,503,500,649,282,438,107,649,885,800,503,800,649,107,500,781,649,649,800,649,503,649,800,649,500,500,503,502,800,800,501,649,503,107,507,282,503,282,342,751,649,502,503,504,503,798,800,800,500,503,502,649,649,282,16,282,28,501,807,501,500,503,282,501,224,979,766,725,502,282,503,47,502,649,502,502,649,851,696,607,800,800,503,649,503,800,503,649,502,501,502,502,649,501,500,282,800,502,800,501,500,500,649,92,100,656,503,503,282,501,649,503,649,800,405,649,500,503,502,198,502,503,501,800,502,500,502,800,502,503,705,502,514,500,531,500,800,502,800,800,503,649,500,502,649,282,848,649,649,800,503,500,502,501,55,501,503,107,71,800,800,800,500,500,501,502,800,800,502,282,649,800,503,500,649,504,501,503,502,800,500,503,502,503,800,800,503,502,503,649,501,378,501,800,800,289,500,501,112,60,800,649,800,502,649,502,500,16,513,826,501,500,500,800,282,931,500,504,502,282,649,16,502,503,501,402,502,800,282,282,503,649,649,503,282,649,500,947,649,16,800,800,509,500,631,501,107,500,800,482,502,594,503,500,530,503,502,328,649,615,16,502,501,500,16,503,502,649,503,502,282,503,649,16,925,500,500,649,501,502,800,282,503,504,649,800,501,502,500,720,363,502,800,502,800,61,277,502,501,500,649,106,282,649,502,107,500,649,16,503,501,800,800,500,501,800,642,800,503,800,501,800,656,502,502,501,500,502,659,500,800,116,282,500,503,500,16,649,500,649,502,501,501,502,501,502,649,501,503,649,649,41,502,649,800,500,867,827,107,400,800,501,649,932,715,800,500,649,649,800,649,649,784,800,502,282,42,500,500,503,503,500,501,503,800,125,502,171,800,282,502,500,800,649,654,800,207,800,800,500,503,504,800,503,16,887,502,282,309,503,800,282,800,503,800,500,502,500,500,503,800,500,500,627,500,290,503,649,649,502,144,16,500,649,501,502,502,503,501,282,503,501,500,800,583,715,654,503,503,282,649,500,503,967,282,649,649,800,82,282,503,502,800,500,500,502,649,503,501,503,501,510,503,501,503,282,282,649,501,502,500,503,502,500,503,502,470,500,503,800,326,276,503,503,501,649,502,654,500,501,501,800,629,503,800,500,787,16,329,501,282,649,649,282,501,282,502,502,502,649,649,649,251,502,500,500,77,649,800,500,649,501,16,501,800,500,503,800,800,501,649,504,503,477,503,16,800,503,500,524,638,502,500,502,502,504,501,502,944,206,649,800,501,503,502,282,502,649,800,810,503,649,503,800,503,501,282,800,800,282,500,800,503,503,500,502,649,107,501,500,800,866,649,800,501,500,502,649,503,500,503,261,501,103,500,649,502,503,800,649,649,649,502,16,103,501,501,282,281,501,502,501,800,800,503,939,501,500,649,500,500,503,503,500,503,502,500,503,501,501,755,649,501,691,502,479,20,502,800,16,800,500,649,800,504,503,16,500,502,503,500,534,628,47,500,649,500,503,517,800,501,502,504,500,164,501,1000,502,800,317,800,500,503,800,107,502,500,501,503,500,501,500,800,501,649,649,800,503,649,800,649,800,16,877,503,800,282,500,501,501,501,500,502,502,800,649,800,504,503,282,504,800,649,500,502,800,649,282,16,502,649,16,503,501,649,649,800,103,500,282,61,282,762,800,502,502,649,649,449,500,501,504,649,107,800,800,503,501,500,501,16,500,503,501,800,503,649,501,646,501,501,282,649,503,649,501,502,501,503,163,503,503,21,500,649,282,502,500,502,16,282,581,16,800,503,503,555,501,800,502,840,800,502,800,282,502,282,800,501,500,500,500,503,800,674,500,16,502,501,800,500,500,500,500,503,504,502,500,503,649,282,16,800,481,16,800,800,500,503,503,502,800,502,126,503,501,800,96,502,649,800,282,107,466,501,500,502,503,282,501,501,501,800,503,750,16,800,800,705,800,502,606,503,502,502,503,800,501,500,503,800,501,16,664,501,282,503,800,800,500,503,800,649,500,16,501,501,503,500,502,502,649,686,503,501,800,503,642,501,501,500,705,501,649,501,502,501,500,503,501,500,503,503,649,800,500,502,502,649,800,502,501,500,282,282,649,649,500,800,502,649,503,503,500,282,501,800,504,500,282,503,503,649,194,501,282,501,502,107,571,692,503,168,503,16,500,934,503,659,502,500,282,649,501,800,501,503,501,501,649,789,123,649,500,503,649,649,800,681,800,568,502,773,502,502,503,504,501,282,500,502,502,502,800,502,16,503,649,502,649,502,500,800,107,800,800,503,663,501,502,501,649,503,282,502,800,800,503,800,297,302,501,258,503,500,802,649,800,649,500,502,503,800,503,502,500,62,503,649,500,649,649,649,282,500,502,935,501,500,800,500,500,503,503,421,800,501,107,500,502,16,16,649,501,503,231,502,502,502,282,800,800,500,90,413,629,16,503,647,800,500,501,101,501,503,282,420,503,503,139,503,502,830,800,501,282,768,674,503,296,712,800,800,649,282,649,800,649,106,115,501,649,502,475,503,503,603,502,649,541,503,282,16,183,501,500,800,501,282,501,649,502,501,800,16,503,502,503,503,649,503,500,649,649,502,502,500,500,501,16,503,649,16,501,501,500,503,502,503,500,500,502,503,463,16,500,649,282,501,800,500,500,282,501,486,421,105,711,502,841,503,500,500,501,282,295,800,500,852,282,502,503,501,500,500,502,503,995,500,504,501,800,503,800,800,649,502,502,500,649,501,500,649,503,501,71,649,800,501,501,503,649,503,633,501,649,800,500,800,624,800,502,361,107,500,800,503,502,503,282,501,282,500,503,501,282,649,282,500,500,500,247,282,649,500,282,503,649,649,705,500,501,500,501,649,649,800,502,112,500,649,353,501,502,164,501,649,502,501,649,501,501,503,500,343,501,800,282,800,282,503,500,502,103,282,800,501,16,649,503,959,645,500,649,577,800,500,503,501,500,502,503,800,800,649,500,594,503,800,282,251,501,501,649,649,503,649,502,649,501,895,502,800,501,502,500,649,282,500,503,800,503,501,103,649,490,501,800,501,502,503,649,500,282,649,502,500,273,649,649,545,649,16,741,545,596,938,502,697,503,502,500,649,800,182,800,504,500,503,800,501,500,282,504,649,502,500,649,282,503,503,500,502,502,500,502,649,649,501,800,501,743,500,649,500,501,282,500,502,502,502,502,649,16,712,149,649,500,502,501,800,800,503,649,992,502,553,107,649,16,502,433,800,501,503,500,282,800,503,502,501,503,649,282,501,502,649,800,502,503,500,107,502,705,500,502,800,649,649,502,501,502,800,800,500,502,503,649,501,502,649,282,504,107,649,554,500,504,500,500,501,502,316,501,501,502,501,503,503,16,107,623,800,501,501,501,503,800,800,649,107,852,502,502,738,649,800,16,504,800,501,800,501,900,800,500,501,649,649,649,800,504,800,502,793,500,800,503,649,500,282,502,649,800,282,503,502,501,500,16,800,218,282,503,282,775,800,502,649,649,107,350,502,503,503,160,502,800,560,282,501,503,282,649,649,1,942,274,620,502,89,282,649,5,649,649,502,282,503,800,800,501,500,282,730,503,503,649,500,16,282,500,649,372,147,282,500,807,502,800,501,509,16,502,526,503,54,16,800,503,500,282,351,800,502,502,800,649,501,68,800,503,503,839,16,502,503,500,649,502,800,649,501,282,503,400,500,501,649,500,800,502,501,500,504,503,502,504,503,800,502,503,800,592,502,867,649,500,503,649,649,500,501,500,500,502,503,501,502,503,163,726,800,649,16,106,503,800,16,291,503,503,500,800,501,502,503,501,649,16,649,208,502,124,800,220,387,800,501,706,16,649,500,282,150,649,192,503,501,705,502,503,501,282,649,500,501,649,502,502,502,649,502,800,500,501,378,649,800,649,502,565,800,502,502,500,501,649,502,501,503,502,500,500,800,889,502,503,800,705,504,502,501,503,502,502,528,800,800,800,500,500,501,502,649,500,649,649,500,501,107,502,501,649,649,316,649,500,807,502,503,649,800,503,501,502,282,800,609,649,501,503,503,501,181,649,501,502,282,282,503,503,501,649,503,649,501,800,502,503,502,502,649,212,649,649,800,502,649,503,501,800,500,282,339,503,800,800,746,308,500,502,705,503,649,282,501,566,500,800,16,500,503,800,500,496,501,800,500,503,503,298,500,502,800,500,502,503,500,502,501,502,502,649,649,77,800,649,502,649,500,800,451,800,103,501,800,501,800,501,800,502,502,468,500,503,503,500,649,503,800,800,501,649,649,101,500,181,925,501,649,502,500,800,501,155,800,649,800,282,16,504,502,649,501,282,502,502,501,723,500,800,501,501,501,649,282,649,500,649,500,800,800,649,184,501,649,501,501,800,500,649,452,501,649,16,187,800,569,16,500,649,503,501,16,500,800,800,502,439,16,282,434,502,501,500,500,501,501,282,500,501,800,814,800,501,502,501,500,500,500,503,985,800,502,500,502,503,501,780,500,649,649,649,649,500,501,501,800,501,288,531,500,643,271,501,800,501,502,503,164,282,800,503,649,503,503,800,649,547,649,503,565,736,503,16,500,501,502,282,501,502,500,502,503,500,503,649,504,800,500,501,500,649,501,282,16,800,649,502,500,649,502,503,578,503,800,503,502,800,501,464,501,501,502,649,282,503,502,501,16,503,649,649,500,502,960,902,16,500,503,603,503,503,502,502,501,800,500,282,502,905,500,282,503,800,502,649,501,800,500,600,800,502,800,502,800,503,705,502,701,800,282,649,282,388,100,16,503,503,652,800,282,16,501,500,500,107,649,502,501,500,16,500,500,504,800,501,501,878,563,504,649,501,649,503,503,500,282,649,502,503,800,800,500,10,800,503,501,649,503,649,649,500,282,500,503,501,649,16,235,282,502,800,503,282,503,501,800,501,504,503,38,310,501,134,501,503,754,649,801,502,649,835,16,649,503,503,636,502,800,16,800,501,502,501,649,502,970,181,282,800,282,620,502,22,632,502,501,500,500,649,649,503,504,500,16,649,503,502,649,503,502,501,503,502,502,500,828,502,16,800,16,502,171,503,604,282,503,107,503,503,649,500,500,502,649,502,503,503,649,502,502,800,502,501,16,800,649,503,16,16,502,16,942,649,503,649,500,282,503,501,800,503,502,501,501,649,501,500,502,800,502,502,502,649,282,500,502,500,500,649,503,627,502,504,649,282,271,503,282,503,501,502,141,800,649,110,282,500,649,218,501,649,501,649,502,649,503,502,500,103,323,501,500,501,282,649,502,502,16,503,16,29,274,282,649,503,500,500,283,800,504,695,503,16,800,501,699,503,649,649,501,503,504,740,282,649,800,420,503,503,503,501,303,502,800,46,800,649,800,502,202,800,502,501,500,504,501,501,502,979,282,800,500,502,957,500,800,649,500,501,649,501,157,503,93,500,502,800,503,500,800,501,503,649,757,500,649,649,282,282,502,649,500,504,649,649,501,501,501,800,276,282,503,282,503,892,931,649,501,800,282,500,501,500,282,500,649,649,500,649,501,500,501,649,503,717,501,16,503,501,16,570,502,649,501,649,719,508,501,500,500,649,800,503,502,502,800,503,800,944,138,503,500,649,16,800,104,800,282,800,502,501,503,649,807,503,501,502,503,503,800,503,500,800,968,666,649,282,503,800,800,503,501,664,800,282,503,340,649,282,649,282,800,649,649,800,800,800,282,501,500,502,502,215,649,45,503,16,500,678,502,501,503,500,503,500,503,502,287,800,503,800,502,503,16,501,503,503,649,800,649,500,282,16,500,502,604,282,100,502,502,649,501,501,500,501,502,504,649,501,949,502,800,503,501,482,282,800,500,500,501,502,503,500,502,504,649,501,185,649,880,649,16,16,504,649,502,503,502,501,503,500,501,501,500,503,500,501,500,501,107,500,502,503,502,501,800,501,932,503,503,649,500,107,986,503,500,282,502,501,800,503,800,503,501,502,503,649,502,649,500,504,649,800,800,59,500,503,504,53,501,649,500,503,503,501,775,297,800,501,503,500,800,502,503,800,501,282,501,800,800,503,500,16,649,500,501,649,374,503,649,502,649,16,500,800,503,501,501,501,501,975,800,282,282,800,573,282,502,502,800,500,395,500,649,503,974,501,500,16,502,500,502,800,502,502,649,501,501,502,108,503,503,649,500,500,500,503,502,501,649,503,502,502,502,800,502,501,8,502,500,500,502,16,503,281,503,502,992,500,501,500,500,649,502,661,649,800,501,503,800,680,800,502,500,800,520,781,800,16,500,239,388,503,501,800,107,282,503,362,649,649,800,649,649,502,282,501,282,500,556,500,649,943,412,502,656,503,649,502,649,792,502,800,500,649,804,500,795,649,282,502,503,110,16,282,282,800,503,503,500,500,502,16,501,502,800,501,61,500,800,570,709,690,800,503,282,500,103,151,503,502,501,500,502,800,800,502,282,800,709,16,649,503,511,503,503,503,800,800,503,576,800,649,800,500,503,289,800,503,503,502,501,800,501,649,501,282,501,500,501,94,503,775,800,649,502,502,282,500,800,282,503,502,649,649,503,500,502,503,500,501,502,649,500,746,502,282,564,500,271,800,500,649,155,501,503,503,16,504,649,500,783,16,800,503,502,282,502,501,504,502,649,649,287,282,800,800,967,774,282,649,500,282,502,800,503,503,16,800,501,501,800,800,500,502,800,503,503,500,649,503,502,800,502,500,721,502,503,800,500,282,502,800,503,876,649,649,649,800,500,800,501,500,33,503,800,649,649,502,500,502,503,582,282,502,976,150,500,501,649,500,503,500,824,502,501,985,649,800,500,502,501,800,800,800,244,800,800,649,502,503,500,500,800,501,731,402,502,282,800,503,500,282,800,501,503,282,503,649,500,500,282,503,282,254,502,502,800,800,502,649,16,800,16,500,800,800,800,800,503,800,800,649,649,500,800,502,282,501,800,899,800,800,817,502,500,502,282,502,980,502,502,282,649,598,501,282,282,685,502,501,649,519,649,502,800,500,502,502,500,501,502,501,282,124,686,282,504,500,502,503,504,805,649,649,800,649,502,649,649,500,800,800,504,909,606,649,649,500,800,500,501,16,800,503,649,282,503,800,649,501,800,503,649,501,649,584,503,500,501,501,501,800,800,503,781,500,282,502,503,503,800,502,500,800,503,502,649,503,501,684,501,503,818,649,16,205,500,502,501,563,411,649,800,649,500,800,502,504,649,503,500,501,500,500,800,500,503,107,503,807,94,16,800,500,501,502,501,503,649,500,500,504,649,649,800,502,500,502,816,501,501,503,282,800,435,500,282,503,501,649,800,16,649,671,501,502,800,800,501,16,282,16,282,503,502,502,500,502,501,500,503,800,500,815,503,16,16,647,800,125,503,502,775,500,282,502,501,649,500,649,482,800,800,501,16,57,57,800,705,502,502,501,502,800,439,282,503,502,501,504,800,500,500,503,500,649,800,896,800,501,504,800,501,800,837,207,107,500,282,503,501,502,503,500,800,503,503,282,251,502,16,503,500,282,501,800,649,800,800,800,649,800,500,800,503,649,270,503,503,649,800,800,800,502,501,504,807,649,501,501,501,501,800,800,500,394,500,649,501,500,800,184,649,503,649,800,503,16,500,500,502,800,501,800,500,800,503,649,800,502,503,800,332,501,189,500,282,800,334,502,800,502,500,987,107,654,501,800,503,502,500,501,501,800,649,481,74,649,282,502,982,502,649,502,500,502,649,500,501,649,504,649,649,649,483,500,649,503,502,649,501,503,800,451,503,503,649,800,168,800,503,419,163,357,282,501,518,800,649,503,282,500,800,800,649,501,16,800,800,282,500,649,502,282,649,711,504,502,800,502,502,502,800,949,649,757,500,500,282,282,500,500,649,554,408,500,282,16,501,501,503,16,800,503,503,501,503,800,501,800,500,501,282,503,649,800,100,503,89,500,16,500,800,503,501,649,503,504,649,504,485,501,500,649,500,934,500,649,649,800,502,502,502,740,500,800,800,502,501,502,705,501,502,282,503,502,668,800,500,649,501,500,501,649,800,501,282,502,500,501,500,649,501,649,282,800,282,649,103,800,502,502,501,502,649,502,811,503,649,800,800,503,503,649,876,800,800,503,502,800,800,500,727,503,500,649,102,503,282,800,500,502,649,800,500,501,800,607,501,502,500,501,282,486,501,503,504,503,500,501,463,502,16,843,800,500,503,501,943,16,649,501,501,649,800,800,500,501,502,16,649,16,649,521,501,800,503,282,972,798,609,501,500,649,500,501,504,451,502,500,503,800,107,503,800,800,784,800,500,501,282,282,500,501,503,649,501,649,282,800,99,503,488,649,501,500,649,502,503,649,800,503,800,649,502,504,500,501,500,503,16,800,503,502,502,649,501,500,502,649,503,649,503,504,800,649,502,501,800,556,502,800,503,16,500,800,502,503,489,821,997,504,501,502,282,503,649,502,501,649,649,800,501,503,502,501,649,501,16,502,800,282,807,649,649,502,649,313,16,503,501,815,832,649,503,649,500,282,43,503,135,292,503,282,500,800,501,503,886,649,502,16,649,649,649,333,800,16,503,503,500,705,500,800,800,500,503,502,501,501,501,649,504,502,503,503,800,800,649,501,16,502,500,282,500,502,501,16,800,500,502,501,500,502,700,503,501,500,649,103,501,649,282,501,503,649,501,502,501,503,503,500,325,175,503,503,500,605,502,16,502,500,649,908,186,500,649,503,282,501,800,501,649,415,800,282,502,800,503,501,503,502,800,800,180,503,16,649,16,500,502,282,282,501,502,935,800,503,34,649,282,503,500,503,500,503,107,502,501,500,800,502,471,500,649,502,649,501,800,649,503,500,649,282,488,800,502,501,132,502,502,285,503,16,16,502,649,649,501,501,501,800,800,171,167,649,500,649,800,502,649,503,649,500,967,501,209,502,800,800,503,502,649,503,503,350,680,503,502,649,503,40,649,282,649,103,502,16,784,501,649,503,649,103,500,282,503,649,500,800,107,800,800,503,503,502,649,137,649,282,800,16,503,282,649,501,503,282,500,503,956,649,282,36,800,649,282,502,282,800,800,649,501,800,699,500,649,500,500,500,107,113,501,714,501,501,800,501,800,500,501,800,501,503,884,501,800,504,649,649,800,800,649,800,503,800,501,501,500,502,800,501,800,501,982,800,501,385,649,500,16,501,503,282,502,675,711,500,800,800,800,800,502,649,500,649,305,502,282,919,503,800,649,378,948,370,502,500,623,282,502,460,282,502,248,800,649,503,501,800,800,502,193,504,503,500,800,649,501,502,503,501,649,800,502,502,347,107,209,501,502,302,800,501,487,500,649,500,501,862,800,500,800,800,649,500,649,649,408,649,501,282,503,500,503,800,503,800,282,503,500,323,986,649,503,501,502,107,800,501,500,649,492,502,800,800,502,649,800,502,502,232,800,649,503,107,501,503,800,800,231,500,800,800,676,500,500,649,607,501,800,282,800,503,103,501,268,503,500,500,500,649,503,501,502,500,800,500,501,500,502,149,800,500,503,502,502,154,800,282,107,502,500,789,805,195,502,503,500,800,502,649,501,649,211,504,501,502,501,500,501,503,502,800,501,502,461,16,504,503,975,501,649,800,503,649,16,500,886,503,503,503,502,502,502,503,502,800,503,28,502,250,649,928,725,355,503,500,500,502,800,620,800,800,500,503,282,483,503,649,649,800,503,501,649,503,849,864,800,800,500,362,98,501,503,800,503,649,800,450,349,56,800,503,282,502,503,502,282,501,500,704,500,649,201,501,426,282,502,500,682,500,649,649,501,503,501,282,501,502,503,649,649,500,502,503,501,503,500,501,201,500,649,649,282,500,501,107,502,947,500,649,502,888,649,800,649,800,649,501,282,500,503,649,282,800,501,503,16,851,649,501,800,649,282,800,502,107,800,500,500,282,649,502,107,503,282,649,282,800,450,501,503,500,16,800,282,800,500,649,502,282,282,501,282,500,184,800,800,500,360,501,800,649,282,800,500,282,502,502,843,502,502,504,500,800,502,501,503,282,501,501,800,800,503,500,502,77,16,503,503,500,501,502,800,502,501,649,500,282,561,502,649,500,502,649,281,16,107,500,16,500,374,500,800,504,794,500,16,502,500,649,282,800,800,503,649,501,649,504,502,807,501,500,282,503,502,535,16,500,205,502,705,649,800,502,500,800,649,282,502,282,649,649,500,503,282,503,16,649,282,649,800,501,282,649,800,503,501,325,504,500,501,649,502,503,503,649,502,649,500,16,16,503,282,503,800,800,105,500,800,500,502,672,800,500,282,370,800,237,503,503,432,500,501,800,501,649,649,501,502,649,800,16,282,282,800,649,949,502,282,800,649,502,107,282,500,649,504,649,501,503,502,502,800,502,800,800,501,470,649,649,501,501,503,649,354,500,501,16,282,503,282,800,502,649,502,794,959,889,800,16,649,500,500,37,800,800,798,501,503,800,221,504,4,500,502,503,209,967,504,500,503,503,649,649,800,501,473,16,17,502,4,501,501,165,800,282,500,800,500,932,501,649,502,501,16,800,502,649,502,784,501,800,503,649,649,649,502,500,800,434,501,500,800,800,503,503,501,503,500,500,16,502,503,501,500,503,503,501,501,500,649,502,503,617,501,503,502,649,503,800,649,649,500,649,16,502,501,16,501,16,503,649,800,800,500,621,649,500,503,502,503,282,800,502,503,500,503,800,503,649,503,282,800,800,800,517,500,282,649,503,503,705,288,503,926,282,502,468,47,639,501,502,282,500,502,502,501,800,649,500,502,501,800,649,503,500,282,800,502,502,501,649,31,500,501,1000,649,503,502,502,282,16,555,282,502,500,502,595,649,649,503,502,501,649,503,649,502,282,503,502,503,501,588,501,16,501,16,107,649,800,501,825,282,501,649,504,502,800,501,502,649,502,800,504,501,502,502,501,502,500,502,800,430,501,502,676,501,282,649,800,138,503,502,649,503,500,45,501,503,800,501,282,502,282,502,501,504,750,649,502,500,649,501,501,40,501,503,502,501,510,190,800,432,501,16,501,502,500,800,470,501,800,501,501,500,503,503,269,636,502,649,503,800,649,800,649,800,876,889,501,502,500,41,502,809,501,500,501,788,500,501,800,649,800,803,947,649,800,800,500,502,649,800,866,649,649,501,503,800,968,107,501,503,501,649,649,274,503,503,800,95,503,501,502,501,649,503,503,800,501,502,502,649,502,503,503,800,500,649,800,500,282,649,800,502,16,649,501,16,501,501,501,502,10,501,800,500,649,501,649,16,649,503,800,282,649,239,503,898,502,500,720,282,198,502,282,800,500,16,503,282,502,503,800,282,800,33,500,16,282,619,16,800,501,600,649,800,502,503,800,649,64,800,800,501,503,500,502,800,800,500,649,649,503,282,501,503,800,86,503,210,366,282,16,649,501,800,503,649,502,502,783,800,649,501,501,649,500,282,503,501,502,501,649,502,502,383,800,649,800,500,800,501,800,649,501,500,282,107,500,55,705,501,282,500,800,502,16,500,800,800,649,503,16,282,800,503,502,800,800,800,502,800,501,649,649,649,501,649,500,501,500,446,501,503,500,282,501,382,649,800,384,800,800,502,586,282,800,800,500,503,503,649,500,503,938,16,503,503,800,904,503,16,649,800,502,500,800,365,502,282,79,500,503,500,282,649,501,455,800,500,503,800,501,503,500,627,501,503,282,649,500,502,562,800,501,500,800,503,649,244,649,16,502,800,551,502,501,649,800,501,282,502,501,543,800,30,44,232,501,501,503,501,501,500,282,500,501,503,282,107,501,649,503,500,411,501,503,502,502,502,800,985,501,502,501,20,500,503,649,500,500,649,800,649,503,503,649,502,500,649,649,501,282,501,503,649,501,16,501,183,503,502,500,282,742,282,502,502,649,500,503,502,538,501,502,501,502,800,166,649,649,500,501,500,282,502,501,282,800,525,16,503,649,501,502,503,502,282,502,501,503,649,503,282,824,501,649,16,800,800,800,503,500,800,502,649,502,649,730,103,503,502,282,800,269,465,649,500,503,649,807,107,800,500,501,800,16,500,502,504,501,800,800,500,282,501,500,501,800,173,649,800,103,502,649,800,285,502,649,500,649,502,649,314,616,282,649,503,503,649,503,800,501,649,649,825,501,282,649,649,282,503,649,500,649,503,649,501,503,501,502,503,649,504,500,502,649,503,502,501,649,501,800,503,16,500,500,16,282,501,501,504,500,800,501,800,501,503,503,500,800,501,500,800,501,800,501,772,800,503,502,502,503,501,523,752,541,649,504,16,500,800,501,939,503,502,500,503,501,503,501,16,649,501,800,312,503,800,714,282,91,800,649,649,443,500,16,504,324,800,282,649,107,501,22,503,503,500,502,649,503,503,4,136,16,500,587,501,282,4,500,282,503,649,282,500,502,807,503,502,502,800,295,800,503,503,800,800,502,500,800,504,500,649,501,501,503,501,502,501,649,314,500,800,501,800,649,800,16,503,503,503,282,500,807,800,504,800,503,502,502,16,503,573,949,976,197,503,358,333,150,273,649,649,500,500,502,501,502,649,800,503,649,649,800,649,649,503,503,502,725,649,16,501,503,649,502,375,501,454,500,649,500,503,61,16,800,649,502,153,800,649,504,500,649,103,500,804,503,503,107,501,502,500,565,16,282,16,16,500,502,800,800,727,235,649,800,649,649,649,74,649,16,503,500,503,503,500,649,502,501,500,503,800,649,502,800,898,503,500,649,501,282,282,503,282,649,500,794,649,437,500,649,649,800,500,96,649,41,502,800,503,414,649,500,503,819,504,502,649,500,390,855,503,503,503,103,502,460,114,804,503,502,649,503,501,282,503,800,500,282,501,503,800,500,503,649,20,502,331,614,503,492,282,501,501,503,16,396,500,500,500,500,502,979,16,282,495,735,16,103,502,501,649,501,649,800,500,500,500,502,502,142,501,501,502,282,501,800,244,282,503,501,501,503,502,282,501,504,501,503,254,504,500,649,649,282,282,500,501,503,501,502,500,800,976,500,501,282,501,502,482,503,501,92,500,503,500,649,501,503,649,502,500,282,282,16,500,832,501,500,500,800,183,649,282,503,503,624,649,501,502,501,502,774,800,649,501,800,502,500,800,500,800,282,502,649,282,503,501,500,502,502,649,800,800,649,800,501,761,502,800,500,502,503,649,282,16,760,649,500,649,16,501,649,501,16,500,500,649,500,501,502,503,800,503,649,501,500,103,500,16,503,503,501,504,448,649,504,502,800,282,501,502,502,503,691,502,500,244,282,649,504,800,502,503,501,501,649,503,502,791,16,502,800,282,800,502,649,649,800,501,649,282,282,503,236,500,968,649,500,282,282,786,503,503,502,282,500,16,16,16,501,500,501,800,503,504,16,107,500,500,500,503,500,800,800,502,800,207,503,16,184,503,502,76,282,502,501,800,649,800,503,548,502,503,966,800,500,501,501,502,501,500,500,500,501,502,503,503,501,282,503,503,503,864,800,502,16,501,391,698,500,500,282,649,649,501,503,503,649,16,800,200,732,649,16,800,500,500,675,101,502,501,500,500,649,504,800,16,259,500,503,500,501,502,503,502,502,649,649,649,800,649,649,501,649,500,649,649,502,504,649,282,500,503,500,299,800,504,503,501,800,503,500,502,855,800,501,800,500,649,649,503,501,503,649,107,800,466,502,503,503,503,503,649,504,282,800,800,463,503,135,503,800,800,800,502,500,500,475,116,800,502,501,550,502,501,500,837,800,384,225,649,500,13,800,503,649,800,501,800,501,866,501,800,501,282,503,16,501,500,282,712,501,501,501,500,800,503,500,649,16,447,649,16,107,800,503,500,502,651,501,282,500,500,502,503,649,282,500,107,15,649,649,501,501,502,503,282,109,649,500,501,920,502,500,503,282,501,502,503,502,503,502,500,559,800,501,503,502,16,500,503,649,500,503,500,503,501,502,502,800,282,503,504,501,503,298,2,501,502,282,503,501,500,502,501,738,649,323,503,502,282,500,800,649,503,500,502,800,501,800,503,500,800,800,282,503,504,649,649,800,282,649,502,500,800,500,282,282,501,502,800,282,500,503,649,800,500,649,649,659,500,16,892,500,500,502,610,500,500,501,503,649,16,800,501,649,800,160,502,800,502,649,501,103,501,897,282,501,500,502,500,502,649,649,800,800,501,649,649,649,554,502,501,282,502,503,503,262,649,500,500,501,502,800,952,500,307,650,800,768,649,578,503,504,282,649,649,502,503,649,501,502,503,501,502,503,501,500,500,503,503,503,503,377,503,649,849,502,501,282,649,504,376,103,502,503,502,501,800,500,286,649,800,503,504,501,503,503,282,503,800,162,75,502,252,502,502,800,501,246,500,500,532,500,500,501,500,502,16,107,500,649,500,800,500,65,502,501,501,501,282,649,503,800,503,649,16,503,500,103,282,649,500,282,500,502,749,501,500,800,502,500,502,736,649,502,800,502,500,649,35,500,503,503,503,800,16,502,649,60,502,649,501,261,800,503,649,807,649,800,503,282,503,502,954,501,649,541,503,800,800,503,445,800,649,800,649,524,282,649,501,501,500,730,503,502,800,649,501,649,503,503,649,501,500,502,800,649,649,776,501,800,931,282,661,16,503,161,501,649,501,649,500,649,500,503,513,503,500,500,800,649,502,800,500,500,649,504,503,649,800,399,503,501,16,800,502,296,800,501,503,649,800,16,501,502,503,800,800,501,800,503,807,800,502,649,107,649,649,501,502,502,503,343,501,500,500,800,502,282,35,107,649,500,503,649,649,800,800,649,501,649,649,502,800,649,274,649,501,503,503,282,107,502,500,500,800,503,503,500,502,649,664,649,800,771,707,502,500,960,16,800,649,500,16,501,503,649,426,800,501,800,500,500,759,502,282,649,503,502,282,16,500,504,800,800,310,800,500,500,800,783,501,649,811,282,16,649,501,502,353,503,282,502,500,75,313,649,649,501,500,282,107,500,282,649,502,502,500,503,107,649,135,649,503,880,649,800,503,503,502,282,770,503,793,502,649,503,503,503,503,649,649,269,500,500,502,502,501,504,282,502,501,289,856,649,800,501,649,282,501,800,16,501,502,800,788,98,503,649,500,502,16,503,500,282,814,283,502,503,649,282,800,282,282,56,504,16,314,797,711,800,503,800,502,800,501,502,502,649,103,69,502,502,501,502,503,503,649,501,388,500,649,502,500,501,120,501,800,282,649,501,502,502,502,282,501,158,501,508,649,150,649,503,503,800,503,649,503,649,800,500,13,649,501,767,680,503,503,66,502,503,427,649,500,503,503,282,500,500,501,502,120,254,503,504,500,502,800,800,500,500,800,500,503,185,800,502,504,504,502,503,502,500,502,503,502,282,503,504,800,246,800,503,500,282,503,501,800,503,503,800,500,502,501,800,503,649,800,502,503,282,503,282,501,16,649,504,502,500,502,649,107,501,649,16,800,226,16,503,16,501,800,514,16,502,503,502,800,649,501,501,501,800,503,501,800,501,282,649,501,500,649,976,649,527,649,800,282,501,800,800,502,649,800,500,501,649,282,649,501,500,282,501,16,502,503,252,649,282,767,649,501,500,649,502,500,649,800,502,503,504,649,502,800,500,282,503,500,501,501,503,501,500,649,232,649,16,502,503,120,649,224,501,800,503,28,784,175,649,649,502,800,161,501,646,568,282,800,502,501,500,107,503,842,649,502,503,503,657,503,649,501,649,500,500,500,500,800,580,500,16,503,800,800,500,282,503,503,345,503,500,649,504,502,500,800,649,649,800,649,649,501,503,501,504,501,502,502,502,800,503,649,503,502,500,502,503,425,503,501,800,501,501,243,192,434,242,800,800,500,501,649,282,504,502,500,500,501,649,502,502,501,502,282,16,800,282,107,649,174,355,500,503,501,800,501,997,282,282,503,800,503,500,502,502,800,501,501,503,282,800,501,503,500,800,649,649,502,501,500,502,504,800,501,649,186,16,500,503,503,705,800,619,432,501,282,649,800,502,501,502,503,282,504,800,500,502,500,649,503,503,282,502,503,503,502,282,646,282,993,501,144,800,501,282,504,501,501,503,502,649,800,503,251,649,282,504,999,16,282,800,502,501,502,876,503,502,324,502,476,501,500,500,504,439,501,503,800,282,649,282,501,503,500,577,885,501,500,502,503,500,501,91,500,259,282,500,800,649,502,800,502,671,503,503,501,503,501,661,502,502,800,501,800,502,500,649,502,501,501,800,502,800,282,502,503,649,490,500,501,500,502,500,502,503,800,800,503,619,501,503,861,16,798,503,500,502,500,501,800,500,649,502,503,502,649,501,649,500,504,649,501,769,800,649,800,800,290,628,849,502,500,503,430,800,649,500,503,501,836,649,16,501,634,16,800,800,800,282,501,501,503,800,503,649,504,501,503,462,502,649,705,443,800,503,503,500,649,824,502,501,500,503,649,501,205,503,800,501,800,503,800,502,502,502,282,16,800,500,16,282,695,500,501,503,649,500,282,503,502,501,502,36,800,649,35,649,503,500,503,502,800,649,501,215,502,336,500,800,800,501,282,103,649,800,649,649,501,502,503,503,800,800,800,649,800,608,649,282,154,501,502,649,800,649,503,502,800,649,501,790,502,800,502,649,502,503,502,107,649,800,502,800,800,445,502,293,503,502,69,501,503,800,501,649,649,500,501,502,500,500,649,501,649,500,107,501,649,500,502,502,282,500,649,559,649,649,800,16,500,282,503,800,503,800,800,502,16,502,502,649,800,282,500,167,504,503,800,501,659,505,502,800,649,521,636,501,500,886,107,103,40,282,502,800,503,503,520,500,501,500,103,504,800,502,649,501,501,502,16,501,322,502,800,649,500,649,16,575,288,503,500,961,501,501,282,649,282,649,502,232,759,800,501,503,503,500,765,501,933,500,500,503,800,800,800,502,502,282,858,103,502,649,800,107,501,503,649,649,649,503,649,649,800,502,501,503,501,649,295,501,501,829,800,15,203,282,500,503,16,800,211,800,649,500,649,500,501,503,282,800,20,500,649,949,503,502,180,16,501,800,649,501,107,502,823,649,501,649,501,649,500,500,500,800,659,411,246,800,503,503,503,503,402,501,14,649,500,800,493,115,800,503,500,503,502,649,500,500,501,800,503,503,204,502,500,282,800,500,503,503,503,500,503,501,500,503,800,502,502,282,501,800,501,502,800,800,388,502,501,282,500,502,500,800,105,103,500,501,800,649,649,503,501,282,503,282,504,16,504,502,501,502,309,502,649,503,500,502,282,649,103,649,501,649,16,800,560,502,16,282,503,649,502,503,548,501,500,503,282,800,502,503,501,503,649,800,502,500,501,500,503,800,502,800,800,666,501,502,501,652,501,279,503,500,282,104,538,649,800,502,800,501,1000,503,502,103,431,504,503,502,649,800,649,503,649,16,800,501,501,649,649,16,502,800,500,503,503,500,502,503,501,502,502,503,705,501,649,800,502,501,503,500,934,649,502,800,500,800,800,649,500,503,502,774,501,564,500,16,800,122,649,800,800,500,503,107,504,800,800,500,500,800,501,282,958,649,503,503,503,649,503,501,16,501,501,501,659,800,501,501,502,780,500,503,500,503,649,503,282,744,500,800,800,502,500,415,282,800,501,649,501,783,501,500,500,800,355,502,503,800,500,649,502,503,16,649,503,502,502,800,503,265,500,503,500,500,622,217,502,107,503,649,800,500,503,503,501,282,502,649,16,500,500,502,503,501,503,500,501,805,503,800,107,503,649,500,649,503,501,282,501,282,800,501,500,503,497,501,917,16,800,501,502,649,503,502,282,502,501,500,501,500,649,503,649,395,501,282,2,649,503,878,649,649,26,656,502,504,282,800,282,503,800,16,649,800,502,501,800,649,282,340,503,800,800,500,800,502,502,503,502,160,501,649,500,503,282,800,843,16,502,282,800,503,580,502,649,503,502,800,501,503,649,502,800,501,103,503,500,500,584,800,16,501,501,800,282,500,500,800,501,282,500,800,504,282,16,399,503,502,649,649,649,501,501,649,649,800,503,502,528,649,500,500,649,501,501,503,503,649,503,501,800,800,649,282,500,649,500,501,500,800,800,282,501,500,154,502,282,800,503,503,501,503,16,800,800,503,500,336,170,800,502,654,282,677,502,504,503,501,500,649,501,501,282,857,504,789,800,282,800,500,502,502,800,501,800,503,503,699,500,504,501,503,503,800,282,16,800,503,501,800,929,800,501,502,503,167,501,800,800,502,800,501,501,503,500,502,500,800,800,500,972,504,501,800,282,649,800,502,800,971,502,749,500,502,800,51,500,503,800,399,501,502,282,503,500,503,649,502,282,800,282,800,520,649,282,502,649,800,501,503,800,503,500,501,649,503,800,800,605,649,649,977,800,504,500,800,503,500,501,503,503,985,504,800,503,800,502,999,503,649,16,501,800,501,16,282,501,282,800,501,502,16,503,500,701,539,800,800,501,16,282,500,500,503,16,503,501,502,502,502,501,895,800,500,500,800,500,500,649,649,282,649,502,668,906,502,500,800,649,240,42,503,282,800,282,501,502,649,800,805,667,69,503,282,503,800,503,649,501,501,502,504,800,500,800,500,503,968,503,500,501,103,500,314,502,503,800,501,282,502,503,282,800,500,500,800,500,649,503,282,502,282,800,502,800,501,16,502,500,502,649,800,141,501,282,501,501,500,501,649,295,649,649,503,469,382,649,282,501,765,502,500,501,502,800,40,800,501,282,503,502,503,282,503,800,649,503,649,238,502,503,504,107,502,16,502,502,500,800,501,503,502,484,500,736,800,503,501,231,649,378,800,500,26,800,502,800,502,649,500,800,501,500,107,500,649,504,501,800,800,649,649,503,813,503,800,501,503,606,502,800,503,800,500,800,501,504,282,800,501,501,503,500,800,649,494,948,252,16,800,502,649,793,800,739,502,502,504,501,501,503,501,503,500,500,282,646,16,504,503,502,58,503,649,307,503,495,800,800,500,282,500,649,800,649,500,500,103,649,502,501,500,327,502,649,292,649,282,649,503,800,501,800,500,649,502,500,107,501,502,649,649,16,649,649,502,500,282,649,502,649,501,282,649,800,16,502,800,648,500,649,282,501,649,397,504,649,502,526,501,649,282,500,504,503,503,501,501,502,649,501,501,649,500,500,500,501,462,502,502,504,800,503,500,503,500,512,501,502,282,16,500,216,500,800,16,501,107,500,602,500,800,282,500,500,502,502,503,800,905,282,649,503,800,649,860,501,500,501,501,500,500,16,649,807,649,800,282,649,282,50,400,502,17,649,502,258,649,282,503,501,500,503,502,503,504,502,732,503,502,649,800,800,502,500,500,649,562,501,649,877,16,502,16,503,502,800,800,800,503,800,503,800,649,500,500,649,800,501,800,502,16,500,503,501,502,814,103,503,618,649,800,16,502,649,704,502,502,503,282,501,501,502,649,500,500,795,501,800,502,502,502,200,800,940,819,503,649,649,649,649,649,649,800,503,502,503,500,503,649,705,500,503,500,148,502,503,901,157,502,503,649,261,502,502,727,501,503,503,503,503,800,649,502,501,503,502,800,500,500,800,503,927,500,649,282,282,404,282,502,503,649,653,8,502,503,981,282,503,123,696,503,503,504,503,502,649,22,649,649,501,502,502,502,500,502,503,500,800,503,282,649,500,503,502,8,649,502,501,649,294,800,500,282,401,503,800,500,503,503,16,649,503,500,107,649,282,800,500,502,800,502,455,631,500,800,518,649,16,800,800,47,800,502,501,509,501,16,503,800,800,502,649,192,502,500,503,633,282,500,16,222,503,318,500,649,501,503,649,501,107,800,501,503,800,800,503,800,504,501,501,502,649,504,567,502,790,800,501,503,502,503,800,500,282,501,503,649,237,503,501,500,16,503,502,649,800,502,545,649,504,502,446,502,500,501,501,800,501,501,649,282,502,800,503,158,503,700,502,501,561,931,282,649,705,501,649,246,649,649,502,500,282,502,503,649,503,800,649,800,501,282,107,500,502,503,503,776,658,649,282,503,503,649,649,929,503,500,107,501,500,649,501,800,504,429,649,649,502,800,501,800,16,503,503,327,500,800,800,503,501,16,282,282,649,501,501,503,502,649,649,282,649,16,107,500,501,500,472,502,282,503,995,649,500,503,501,282,503,390,503,800,800,282,503,503,282,500,800,500,282,503,800,501,503,500,649,800,503,500,800,500,282,502,821,800,500,72,800,800,504,16,800,911,502,500,501,47,705,282,502,500,500,501,502,282,574,649,649,800,282,503,503,621,800,649,502,16,272,501,502,978,800,649,649,501,503,500,649,500,500,503,282,503,500,800,649,671,501,502,876,97,503,649,50,503,649,649,502,282,417,800,504,501,800,800,501,649,501,16,914,503,502,282,502,500,500,502,502,649,502,199,500,500,649,500,502,16,501,501,503,800,502,55,649,800,502,500,503,649,503,503,501,503,198,503,649,503,282,107,947,502,503,282,103,282,500,768,649,282,501,500,282,281,501,649,500,503,649,705,649,649,16,500,501,503,649,502,500,282,649,649,500,67,649,54,501,501,502,649,500,649,282,889,546,500,589,800,500,902,800,502,800,503,398,500,504,800,361,501,501,502,103,500,649,501,649,800,649,501,576,649,649,107,502,800,800,503,500,800,501,502,649,500,502,103,501,554,77,504,500,282,500,500,737,800,293,503,502,502,502,501,107,649,649,649,500,503,472,282,800,500,16,503,649,479,282,521,500,501,500,503,501,18,566,649,246,282,500,649,502,800,503,649,503,800,501,504,502,800,649,500,649,268,501,501,800,649,500,649,502,282,553,501,503,649,649,502,500,649,800,503,502,981,870,501,16,851,503,649,649,649,789,502,282,502,791,503,502,503,503,649,500,503,502,800,501,800,131,473,503,649,500,503,825,649,502,503,16,569,502,282,649,649,100,503,503,103,501,800,649,502,576,501,500,800,502,282,282,649,500,107,16,500,649,500,502,501,502,501,500,649,500,502,502,502,800,649,502,649,500,500,502,500,800,800,501,503,649,501,501,502,503,500,282,800,232,279,649,502,500,800,649,501,800,500,649,500,467,649,754,280,501,649,501,800,500,649,131,649,800,282,649,502,649,545,500,500,501,108,500,501,502,501,282,800,500,501,501,603,501,501,800,16,35,649,501,501,503,503,800,203,502,395,800,500,16,501,649,800,800,503,503,649,282,853,502,649,649,663,649,502,501,366,800,502,501,502,502,502,800,54,649,800,800,800,502,649,501,881,500,503,612,501,503,503,545,16,500,282,502,501,503,501,503,503,800,501,503,501,649,500,730,800,205,504,649,205,501,501,502,503,501,282,501,502,668,282,800,500,503,503,253,16,649,503,800,502,800,282,503,800,501,501,361,503,282,502,500,649,502,649,251,500,500,501,107,649,500,800,693,503,690,503,501,576,503,855,649,502,500,503,501,649,503,501,500,501,501,501,800,501,503,112,800,502,501,282,649,649,649,800,649,500,929,736,649,982,251,800,649,649,649,503,800,503,800,893,282,500,107,500,500,851,502,935,503,800,16,800,16,649,502,503,501,274,501,502,649,502,501,800,502,649,724,501,107,649,502,282,501,649,502,501,800,282,800,649,706,282,649,503,503,800,500,800,502,651,800,800,501,500,649,580,649,503,501,16,500,502,649,502,503,107,502,501,503,501,500,649,649,502,649,16,503,800,282,502,355,838,500,500,649,208,649,649,503,800,501,800,501,800,502,502,800,502,501,501,649,500,502,504,649,503,503,649,649,742,500,500,504,501,282,502,502,502,502,649,260,501,282,800,955,800,501,282,649,649,501,562,649,503,649,501,501,502,800,502,271,500,649,500,501,503,504,500,800,401,503,800,503,946,778,500,649,298,649,500,502,649,503,503,924,501,502,881,502,500,887,800,501,510,502,500,649,501,500,500,999,501,500,502,500,500,503,649,800,500,503,503,697,502,500,729,271,649,502,800,500,500,658,282,107,503,501,282,503,282,800,800,502,500,500,501,800,649,500,107,500,503,501,607,501,501,99,16,501,103,800,649,503,503,800,877,16,800,355,500,502,503,503,343,649,501,503,718,800,500,649,501,800,502,503,500,282,759,502,503,500,705,100,649,501,649,501,800,503,71,649,282,649,527,504,649,503,503,282,800,500,502,334,503,503,629,501,280,800,500,500,866,503,500,800,800,501,282,282,649,800,775,500,282,501,504,501,607,649,800,503,502,16,501,282,502,500,501,16,503,282,500,282,649,649,502,222,500,501,502,500,649,649,357,800,807,503,649,807,649,500,800,649,742,649,502,282,503,502,502,501,501,501,500,503,502,502,503,500,800,502,800,607,984,800,502,502,502,503,153,282,504,800,421,503,501,649,503,504,800,501,500,502,500,800,501,500,502,800,503,649,649,800,502,501,649,503,503,800,800,504,501,924,800,800,502,502,503,500,500,800,502,504,282,502,649,800,501,800,282,501,971,500,16,501,649,504,504,500,16,502,282,800,226,500,282,501,501,502,800,800,503,583,16,500,800,800,800,649,501,100,501,501,649,705,282,501,502,16,501,501,503,649,946,504,501,800,800,114,500,502,439,649,500,503,649,434,649,800,501,501,502,503,502,500,282,649,503,800,649,282,800,800,191,502,500,897,470,75,649,282,148,503,501,501,800,800,501,282,649,501,504,501,501,502,282,800,800,800,502,500,339,649,502,502,411,425,800,282,502,800,502,503,500,707,282,800,500,502,501,503,500,16,649,501,502,16,282,282,500,503,800,800,501,37,16,503,800,282,649,500,800,503,282,504,649,649,502,16,500,800,500,504,502,649,501,500,503,292,503,649,500,898,800,500,502,500,503,500,502,501,502,516,276,282,503,800,501,502,502,917,800,500,501,501,282,649,502,800,388,501,16,500,282,500,282,500,500,800,502,500,395,649,282,500,502,500,16,649,501,503,500,501,107,16,502,282,504,503,16,107,501,649,649,502,501,649,800,800,502,649,501,501,500,282,649,504,800,800,372,800,501,649,502,503,16,501,503,800,502,500,501,503,649,800,935,800,500,683,503,649,282,503,649,913,997,282,282,501,16,222,500,503,503,502,649,16,649,800,500,501,649,525,500,500,501,503,800,16,649,649,502,503,502,504,500,500,800,282,16,800,501,282,182,16,649,649,425,501,501,649,501,500,501,500,649,800,649,800,979,16,800,502,649,501,503,503,649,800,500,843,501,282,503,19,500,16,500,282,501,500,500,500,800,501,500,816,20,800,800,282,503,501,500,501,503,800,502,501,501,502,16,800,282,502,565,501,501,502,501,649,800,933,649,501,649,901,439,503,800,807,500,501,501,501,501,503,13,501,501,800,649,502,16,501,500,502,502,649,503,503,500,649,501,501,500,502,282,798,503,800,503,649,501,282,501,710,500,502,649,649,282,502,800,501,800,649,649,504,649,501,800,501,800,800,502,502,501,501,501,504,500,502,500,500,503,800,501,500,503,649,502,503,504,500,501,504,503,649,800,500,84,282,649,649,107,500,282,500,282,16,500,649,800,502,503,16,500,282,649,800,517,503,503,501,500,500,500,649,16,500,800,500,649,501,502,107,503,282,928,503,503,503,649,649,649,502,282,503,501,107,800,502,502,503,152,503,800,649,502,501,503,649,502,501,501,282,403,282,503,311,752,501,502,503,502,500,282,502,500,282,705,183,976,800,501,16,501,500,282,500,259,501,973,501,502,501,503,500,500,800,500,501,649,800,800,502,502,800,800,185,282,502,800,502,649,502,282,649,800,800,800,501,466,800,503,649,62,501,503,503,503,33,504,705,649,500,560,501,800,501,501,504,800,649,800,500,649,500,928,16,503,282,503,500,503,800,502,502,800,103,503,500,500,282,649,501,687,502,500,502,500,538,504,502,16,334,501,800,503,501,501,500,501,502,500,457,8,800,501,800,503,501,500,800,501,800,649,705,800,649,502,503,501,503,649,16,649,502,282,649,500,501,500,501,501,800,649,502,500,504,500,501,500,800,503,649,500,501,501,810,649,282,800,649,649,503,800,502,649,649,500,282,566,500,800,503,501,502,649,503,500,282,912,800,500,493,649,500,649,403,800,800,501,649,501,800,502,800,501,800,502,273,800,502,692,503,282,800,16,500,502,800,503,107,501,649,502,282,503,502,502,503,500,501,503,503,500,800,502,503,502,503,502,503,309,502,459,503,649,502,501,800,800,503,500,503,16,940,649,502,800,649,503,500,503,282,107,800,799,501,504,649,800,502,282,967,649,500,282,503,183,800,800,502,800,649,941,502,282,502,649,800,503,328,705,282,500,239,666,503,800,500,800,503,503,649,500,651,800,800,649,502,121,500,503,503,649,503,503,503,649,503,502,800,500,800,502,649,649,504,873,649,800,800,649,425,503,501,282,297,501,800,649,500,649,500,649,501,502,502,800,800,282,998,500,503,800,501,16,501,649,16,500,501,503,649,504,649,500,282,800,16,200,500,501,502,500,800,503,842,649,800,632,503,800,503,649,500,502,649,76,501,800,151,502,441,800,800,800,503,503,649,502,63,502,503,502,502,501,649,800,800,800,502,501,501,252,501,502,502,501,649,67,482,800,613,282,503,502,649,649,502,502,500,504,800,649,123,502,800,500,649,502,800,800,502,649,404,282,649,649,89,800,502,502,649,800,282,500,502,774,800,385,807,16,500,500,503,500,923,282,282,649,500,503,503,800,501,800,500,503,649,800,649,502,502,503,591,502,500,16,500,503,282,502,502,500,503,16,501,500,649,501,501,503,501,649,876,998,649,649,501,502,726,502,501,638,502,502,501,501,107,502,500,832,503,800,503,107,103,503,500,980,503,503,282,503,800,649,649,649,487,501,501,500,500,800,501,800,500,800,502,500,501,73,503,501,503,103,282,503,438,16,500,687,649,500,800,503,500,282,38,55,800,282,800,501,282,502,282,501,16,91,500,282,800,502,550,503,16,501,501,970,800,502,503,500,16,800,501,501,501,649,649,503,503,501,800,282,282,503,500,500,500,500,649,772,130,501,279,501,503,807,649,546,500,502,501,848,282,649,504,649,649,189,282,503,503,503,800,649,800,800,503,800,501,649,500,282,502,649,800,501,16,500,503,705,500,649,16,649,93,649,6,649,501,502,649,800,800,500,503,500,649,800,649,397,501,503,503,502,503,649,16,649,774,282,800,503,501,800,672,649,501,501,282,740,800,16,458,800,649,282,282,501,649,501,500,754,800,800,649,649,500,500,501,502,649,800,504,500,501,502,705,503,282,501,500,501,501,502,501,800,501,282,649,501,649,500,501,501,502,16,502,103,503,649,800,282,649,282,191,504,649,500,800,502,282,282,503,800,500,800,800,649,649,503,501,103,649,649,501,502,500,502,502,552,800,50,628,673,502,649,503,501,800,649,800,81,800,503,282,502,16,501,649,16,282,502,502,500,800,501,503,800,282,282,504,183,649,500,278,502,502,649,502,800,501,502,649,501,503,500,20,501,500,502,649,503,800,503,501,501,649,502,203,502,500,16,16,800,864,500,800,800,831,800,649,503,502,943,952,800,501,296,503,500,282,649,502,503,500,502,502,649,502,500,500,503,503,500,16,498,502,500,500,306,107,504,500,954,500,500,282,800,501,16,500,993,649,501,500,282,800,800,502,501,503,800,800,783,103,282,502,502,503,502,649,500,502,503,503,503,500,501,501,503,501,502,502,500,16,282,500,800,501,649,502,865,502,502,503,172,649,503,649,800,501,800,649,800,503,501,282,503,855,501,503,503,649,800,800,800,504,502,500,282,500,16,501,282,503,124,649,726,282,500,649,97,500,282,503,649,502,500,501,800,800,800,501,16,502,988,800,649,502,503,501,800,800,649,800,502,503,500,501,502,504,502,504,705,282,649,241,800,282,502,800,501,501,501,649,800,16,79,502,502,103,502,502,501,503,649,649,65,67,649,649,501,282,500,800,316,502,800,800,16,503,16,500,282,503,185,233,501,124,107,649,501,502,16,800,649,649,649,503,500,16,503,503,501,503,503,501,538,501,502,953,706,800,103,800,504,503,800,800,502,501,502,501,649,503,649,649,16,501,649,503,503,800,649,503,800,501,503,841,103,501,500,800,502,649,500,502,800,319,800,207,503,800,501,16,503,649,503,500,502,501,800,501,503,502,502,800,463,501,503,800,958,110,800,649,501,649,500,282,192,502,501,500,503,502,501,800,800,282,910,500,500,503,500,649,800,649,649,502,800,649,16,477,502,649,502,649,500,503,501,800,282,502,501,800,503,503,787,649,800,649,502,282,800,502,501,501,652,11,501,502,282,501,501,501,800,500,649,649,649,500,649,500,800,649,761,107,800,502,846,501,28,649,501,453,505,503,16,649,500,500,503,500,282,500,800,282,800,649,500,594,94,503,282,468,501,649,649,500,501,759,500,501,664,800,503,800,674,888,282,503,502,649,503,598,503,459,503,800,503,282,502,503,800,501,501,503,800,502,217,649,649,500,16,955,502,282,503,500,649,501,502,501,16,503,502,674,649,503,501,500,50,500,800,870,282,800,78,501,107,282,800,501,649,502,800,501,503,500,177,263,800,502,649,500,282,649,800,800,502,501,649,502,16,352,504,649,272,502,649,502,649,649,282,501,503,251,649,649,649,503,504,649,501,341,800,282,808,800,503,502,800,649,649,502,500,282,973,503,592,649,800,107,103,800,503,502,282,503,303,503,503,500,103,501,764,501,503,388,800,649,503,704,503,500,502,649,500,501,649,282,502,500,500,282,329,649,649,800,500,501,284,811,649,649,282,500,500,649,503,502,503,502,800,501,973,503,649,501,500,649,502,22,500,800,502,503,501,1,503,282,282,502,502,501,324,503,800,800,800,16,40,250,502,503,501,649,503,502,515,502,16,282,500,503,502,501,16,502,503,502,503,502,800,503,501,502,649,282,502,502,282,282,503,501,500,501,501,16,649,503,501,502,107,503,502,500,649,504,649,282,649,503,500,649,79,501,282,800,503,503,531,501,16,800,502,503,16,501,503,503,800,500,503,501,503,503,800,649,500,502,74,107,501,500,100,503,800,16,502,503,800,503,501,800,16,502,649,662,649,503,502,754,213,502,16,504,800,502,502,861,649,800,282,503,107,501,295,501,502,501,500,649,649,501,503,503,649,503,800,800,500,282,649,503,503,501,800,587,96,800,906,649,30,649,504,800,501,501,649,800,500,504,500,500,282,501,800,800,502,646,649,501,649,649,282,737,502,800,500,502,503,649,649,502,501,503,502,502,800,502,800,282,503,649,503,503,800,502,500,501,503,501,500,800,649,5,500,504,503,649,501,800,1000,500,501,738,800,16,502,502,500,248,500,800,495,503,639,649,503,502,502,503,502,800,800,800,649,503,377,502,501,649,503,800,649,996,649,501,501,500,282,504,502,502,503,748,500,800,502,502,501,501,503,800,503,649,16,649,649,649,502,649,503,800,501,501,500,503,800,800,355,800,412,800,501,877,649,502,16,800,800,649,800,649,800,502,503,502,500,503,500,500,503,173,502,800,501,800,16,501,16,503,503,500,501,500,502,282,488,500,502,502,502,649,501,500,502,502,800,502,503,649,800,419,800,800,742,502,502,800,800,282,501,649,501,502,961,965,502,649,107,501,649,500,500,502,501,500,504,500,649,500,649,501,800,800,385,503,500,503,501,649,501,800,503,107,649,502,500,503,503,500,948,282,501,500,501,503,649,282,432,282,800,502,235,800,503,500,502,649,291,502,501,501,282,502,501,800,501,503,282,649,500,501,16,800,501,501,503,16,500,502,503,649,649,502,800,500,502,501,864,501,649,472,800,502,501,500,502,198,500,501,800,501,107,500,282,800,502,282,678,502,912,800,503,282,500,800,649,502,649,503,800,282,282,282,500,428,282,107,282,538,708,800,649,503,500,503,500,501,502,649,649,502,201,649,502,880,16,501,501,20,502,500,500,800,503,503,649,500,502,16,649,507,502,16,649,501,503,500,800,502,503,800,500,16,649,502,107,438,800,282,649,18,800,500,502,16,800,501,501,501,500,502,501,501,501,282,649,503,502,500,649,649,408,502,500,503,503,503,500,800,800,503,649,800,500,501,800,501,503,502,282,503,460,649,800,191,501,800,501,800,800,282,502,502,503,503,800,800,502,501,503,800,501,501,501,649,501,503,501,582,458,16,107,649,500,503,503,502,649,280,649,503,800,800,915,500,500,503,282,500,503,591,800,502,501,504,501,501,245,502,800,649,16,135,800,501,800,282,16,282,560,23,501,7,501,503,500,502,874,649,649,123,103,500,503,500,500,649,800,470,833,107,649,503,503,502,503,501,649,800,800,800,800,800,500,354,800,282,800,800,16,500,501,800,282,500,282,44,938,16,649,500,800,649,503,500,500,501,800,649,174,282,501,282,649,282,649,503,800,502,502,800,649,547,503,502,502,502,800,502,282,501,800,501,911,501,649,365,16,649,886,500,649,501,800,372,649,503,503,502,800,502,649,502,649,262,503,500,502,649,800,501,120,800,800,800,16,500,16,800,176,500,16,502,501,800,501,500,501,282,282,282,502,501,501,502,800,500,649,800,500,500,460,502,800,502,502,501,503,814,800,649,649,170,705,649,578,978,103,800,503,500,503,500,308,800,501,95,800,282,800,107,761,16,649,503,649,800,503,502,500,800,500,501,500,16,800,800,500,800,157,16,501,812,282,16,16,649,501,501,502,501,501,503,503,502,503,800,500,502,501,503,649,649,800,500,502,500,501,500,502,501,501,800,16,649,501,192,501,282,649,800,894,800,503,800,107,502,800,800,800,800,500,502,800,800,649,504,107,500,676,502,503,503,649,800,282,502,800,502,40,279,500,499,501,502,501,504,502,800,502,591,16,500,502,502,282,800,500,500,501,500,502,501,800,623,800,16,1000,504,727,502,800,504,500,705,501,649,501,503,800,500,800,103,500,800,503,800,504,702,500,503,502,723,103,208,649,502,503,632,503,502,800,500,501,800,800,500,649,500,502,504,800,500,502,857,800,882,649,800,800,649,501,27,503,502,500,500,505,649,800,123,99,16,500,800,501,649,201,649,649,800,503,502,503,800,501,16,107,501,758,503,228,501,503,897,800,502,16,504,501,502,937,503,501,503,282,294,503,519,649,710,504,800,800,649,501,501,501,649,282,501,663,502,503,800,649,800,502,503,502,503,649,501,504,800,502,282,502,503,800,501,503,11,649,582,282,649,501,649,502,556,500,502,800,16,16,649,502,16,500,806,501,502,800,501,502,649,503,500,800,500,500,381,649,282,262,800,282,504,373,282,592,800,800,501,500,500,649,501,502,282,649,282,649,779,501,617,254,501,502,503,503,500,800,800,367,649,503,502,16,501,503,502,501,503,500,501,649,649,800,800,282,501,649,500,501,501,500,500,800,649,649,800,729,674,503,800,502,477,800,282,501,503,500,500,905,308,502,800,282,649,91,945,502,649,501,649,502,800,502,800,800,800,503,298,282,503,800,800,660,16,342,800,800,500,282,800,282,503,800,519,800,500,649,502,800,862,501,486,800,501,501,503,800,500,649,501,501,800,179,649,503,503,502,649,500,649,625,89,127,282,504,501,501,500,800,500,282,503,500,649,500,503,244,503,500,500,500,502,502,282,282,800,501,649,649,649,503,502,282,800,503,649,306,503,500,800,800,503,502,501,503,800,800,502,800,867,649,16,618,504,502,282,800,501,503,649,16,649,501,503,649,282,502,607,500,498,501,500,649,502,502,800,237,649,502,800,503,502,172,649,503,502,500,501,501,894,800,800,502,500,500,16,16,800,502,503,501,500,775,282,501,649,429,502,500,208,502,501,649,500,800,500,501,501,121,501,502,502,375,503,501,282,402,379,502,16,44,501,634,501,800,800,503,402,501,500,155,282,800,501,649,649,800,545,649,649,555,501,502,502,134,649,133,180,800,500,801,287,501,500,649,137,501,500,501,610,282,696,282,503,503,501,282,503,510,503,800,503,81,500,503,502,649,501,649,803,503,800,503,502,500,800,500,800,16,503,52,501,500,502,510,500,503,503,800,649,503,16,107,502,649,501,800,501,649,800,800,14,500,649,16,282,502,649,502,590,501,503,503,649,282,649,492,649,501,500,649,54,717,800,502,154,649,800,502,501,502,763,503,501,500,800,502,649,805,382,502,800,245,502,504,282,800,649,16,502,800,500,504,800,500,800,501,500,503,501,800,501,501,500,649,16,501,481,800,351,649,502,800,501,503,340,16,621,501,503,500,339,501,503,649,502,649,503,501,502,500,503,503,502,501,503,500,503,502,244,502,800,504,501,501,501,503,649,500,752,800,502,800,282,16,800,502,500,501,649,800,649,282,503,503,649,649,649,2,649,649,16,800,501,502,501,502,503,282,649,500,629,107,501,500,975,502,502,503,503,649,502,800,800,704,282,501,951,267,800,503,800,649,500,282,501,282,800,800,800,501,649,500,950,500,16,501,649,502,1,800,500,503,282,502,649,800,502,500,248,800,800,649,282,800,503,501,282,503,502,433,177,501,503,501,16,598,649,649,504,502,16,143,3,282,800,800,501,503,502,16,500,800,502,16,862,560,502,500,504,502,649,925,503,504,504,502,501,282,501,500,502,757,502,800,503,502,800,649,649,800,800,503,503,551,167,800,869,503,417,649,502,502,800,502,660,501,503,500,500,503,800,800,558,501,503,252,503,503,649,937,500,502,500,501,800,60,500,833,503,503,500,800,356,800,501,649,649,311,500,503,503,573,501,800,504,502,649,502,16,705,800,500,282,502,502,640,501,800,282,501,649,269,502,16,503,28,800,501,953,649,502,501,502,501,649,503,502,503,649,501,500,16,503,504,649,502,16,24,500,282,603,649,501,800,501,503,800,16,502,800,502,501,649,503,963,501,649,649,649,501,649,504,501,500,16,980,649,602,503,800,282,800,649,120,502,282,500,800,282,800,649,649,503,461,800,649,500,503,502,649,649,323,282,501,282,503,877,502,705,503,652,941,542,800,800,800,282,800,502,500,502,649,314,738,649,502,800,500,503,501,503,649,649,500,16,504,483,652,800,649,501,502,16,503,649,282,502,649,503,16,503,500,335,502,649,501,502,649,503,500,501,282,500,800,66,649,649,16,814,649,503,503,800,16,503,500,649,649,502,107,501,502,502,282,502,501,800,500,649,152,649,945,501,500,501,503,800,503,501,649,800,800,500,800,744,503,501,501,800,501,903,282,501,649,649,501,503,107,800,500,504,500,107,649,282,282,116,649,500,687,282,503,500,800,649,503,501,503,800,800,649,800,451,501,649,662,800,500,282,307,16,800,282,282,500,421,501,800,502,504,501,800,500,504,501,800,502,16,501,502,800,65,502,837,503,900,502,504,625,649,503,500,500,103,500,502,504,800,718,649,282,497,800,500,649,236,707,503,310,282,282,800,502,649,500,282,649,282,502,649,502,649,800,500,282,282,107,358,800,649,502,945,282,16,502,800,996,89,226,649,503,800,649,649,800,500,915,649,282,800,217,800,503,502,503,502,503,800,501,501,800,502,980,649,649,126,502,282,504,649,702,502,800,502,649,500,503,800,705,417,282,501,501,501,649,649,502,107,502,350,800,503,649,282,501,649,800,800,500,649,824,800,502,501,800,713,689,891,501,504,571,503,800,501,501,282,502,604,503,501,503,649,502,501,207,800,502,649,501,649,502,868,800,503,500,500,501,16,800,571,500,500,800,503,800,500,800,500,500,705,502,500,800,501,503,503,299,502,501,80,503,649,503,649,902,282,502,501,649,502,501,878,501,457,800,502,563,502,500,749,282,501,500,16,649,649,502,503,16,282,502,664,533,673,502,649,649,800,523,249,367,282,705,502,502,649,500,439,649,800,649,501,282,132,502,649,465,800,107,501,649,649,500,500,649,800,966,503,282,800,491,700,800,503,583,649,800,501,282,649,502,501,16,578,649,800,502,500,503,103,502,282,649,503,649,250,649,503,649,649,104,502,800,16,500,503,500,800,16,282,502,800,502,501,932,282,649,500,649,502,502,282,479,800,500,503,800,800,504,500,500,500,501,282,282,282,502,503,503,16,282,649,80,501,800,501,800,502,282,502,501,800,282,502,39,502,503,27,502,800,649,502,501,282,501,649,502,500,500,502,800,501,649,282,503,502,503,649,503,649,167,443,807,500,500,502,800,282,262,500,500,503,503,44,649,502,282,800,501,16,503,501,649,649,649,800,500,826,649,500,282,649,501,148,649,500,399,800,143,181,502,16,649,502,177,649,501,800,282,649,501,649,44,625,800,501,503,800,595,503,500,800,503,800,591,503,800,501,502,800,503,501,800,500,500,502,705,503,800,501,503,504,500,649,501,501,800,501,501,503,111,502,800,502,649,556,500,197,500,282,649,502,649,800,500,905,462,800,501,502,946,282,501,502,800,500,502,504,649,503,282,502,800,800,649,501,500,501,800,500,503,501,649,500,800,501,800,501,800,501,632,235,16,800,800,645,502,800,800,282,103,262,502,424,502,708,500,502,502,500,503,649,800,649,501,800,800,501,501,501,501,705,502,501,500,501,800,501,501,649,800,502,500,503,503,649,501,503,282,500,107,649,475,502,500,649,500,500,282,501,502,800,581,501,501,504,502,501,649,502,503,502,800,503,800,504,282,16,500,501,500,800,815,424,649,800,800,501,501,501,500,500,800,649,501,503,501,282,503,500,649,690,504,800,800,649,649,502,800,649,503,500,649,649,800,282,16,649,800,503,503,649,500,503,649,503,800,649,913,500,500,800,800,501,501,430,503,503,282,419,800,503,503,501,16,500,502,104,649,649,282,501,649,898,501,800,649,502,649,649,800,500,501,107,16,239,500,503,649,16,800,501,649,502,500,502,501,501,503,500,504,610,16,502,502,503,501,16,282,500,504,503,649,16,502,800,501,16,16,649,672,500,503,500,649,572,800,933,481,503,501,503,800,503,282,503,501,502,501,501,500,502,807,800,503,502,604,500,502,500,502,282,800,501,502,502,800,800,504,282,649,282,500,56,503,16,16,500,651,800,16,502,502,500,503,447,502,504,800,649,502,500,800,500,501,502,500,502,649,649,501,501,282,800,337,503,501,503,649,649,503,800,501,649,800,500,503,698,500,501,800,502,501,800,502,500,503,503,16,282,500,500,282,649,504,282,16,649,649,649,649,504,62,502,800,800,388,501,282,16,502,502,502,800,649,500,503,800,649,503,503,800,567,502,16,501,317,800,534,502,503,500,500,800,501,503,503,502,502,800,503,800,282,500,502,800,503,800,502,502,649,501,504,502,500,835,201,500,501,502,282,800,502,502,500,502,504,282,503,501,501,501,17,856,649,282,800,282,683,503,500,501,800,282,649,705,16,503,282,500,16,649,503,501,800,649,649,800,101,16,282,649,502,502,16,16,502,501,504,503,503,502,434,282,501,282,800,649,800,500,457,500,503,649,205,500,499,282,649,500,931,444,500,649,16,800,503,500,502,66,800,800,503,16,690,501,502,501,609,800,503,800,282,649,501,482,805,96,649,502,502,649,888,501,504,500,800,502,500,649,800,800,800,888,800,649,500,16,500,504,503,501,500,503,500,502,503,649,16,800,503,107,503,107,219,502,500,807,503,500,502,500,502,503,649,501,500,501,503,504,649,649,502,503,282,282,649,649,649,501,502,800,282,504,396,800,503,503,282,649,282,500,282,500,800,855,649,502,800,503,649,800,503,649,649,800,791,16,468,500,500,282,800,994,502,282,501,503,503,502,503,502,800,649,282,500,649,503,394,800,501,24,16,503,282,503,502,501,282,500,800,502,310,282,503,500,649,503,502,501,649,502,500,649,500,16,502,503,500,800,649,649,502,494,500,503,800,656,16,800,503,502,501,800,218,501,502,800,501,865,563,649,500,382,343,795,649,649,649,503,800,800,501,649,282,502,679,282,282,800,503,649,503,503,20,501,800,780,502,649,800,502,800,503,501,282,649,502,500,502,800,501,501,47,800,800,502,500,504,502,502,500,800,503,940,502,503,500,800,503,16,800,794,27,800,500,501,503,800,800,501,800,500,649,503,282,168,800,219,502,503,310,500,800,502,387,737,502,503,502,501,649,500,501,525,587,100,800,500,705,503,500,399,503,500,503,503,800,500,503,16,649,501,800,282,503,502,502,800,502,716,649,502,503,649,502,800,282,503,732,501,282,649,502,649,501,502,501,500,503,575,649,649,800,502,502,800,503,501,503,503,282,649,800,503,500,501,649,800,649,649,500,502,503,502,500,503,502,502,503,800,502,501,502,282,649,649,649,282,500,503,502,503,502,502,503,502,501,800,250,500,800,282,973,503,800,502,800,107,649,800,501,282,188,282,502,282,649,503,500,503,503,800,501,501,800,502,455,500,503,502,500,500,500,503,501,649,503,502,501,16,500,500,500,501,202,16,500,501,16,503,500,502,501,503,800,502,282,282,649,888,503,800,503,501,107,503,500,800,649,282,502,800,649,800,502,282,500,731,502,504,500,649,733,500,502,107,500,503,38,649,503,208,475,58,649,649,282,16,502,649,800,503,16,800,503,800,800,501,986,501,800,502,501,800,649,282,800,503,649,500,649,503,649,500,502,503,649,800,444,16,16,502,501,502,800,501,649,800,500,953,500,282,649,16,649,529,800,16,501,800,282,649,502,107,501,100,500,500,502,707,16,207,201,501,649,800,282,800,649,500,264,282,16,501,502,800,177,800,649,503,16,500,500,282,282,501,502,71,502,800,501,501,800,968,649,500,800,502,502,503,500,503,501,500,501,502,501,501,800,649,282,107,502,242,503,707,135,800,705,502,500,500,502,501,502,501,503,282,911,500,282,800,781,502,501,500,800,501,282,501,502,16,500,501,501,500,500,503,501,501,800,500,649,503,800,502,358,503,503,501,503,282,282,103,500,479,501,500,468,504,800,282,649,649,800,649,282,971,282,502,282,649,800,649,500,107,800,800,502,800,282,793,504,74,500,504,502,721,649,501,503,500,800,500,500,32,649,16,501,649,378,501,501,503,647,502,103,503,501,800,649,503,504,649,800,502,502,501,800,800,502,503,500,800,744,502,649,701,500,503,182,502,282,501,800,500,16,502,800,502,500,503,501,16,282,576,16,800,501,705,500,359,503,503,800,501,18,107,16,649,501,500,500,501,501,216,504,282,649,649,800,500,502,649,401,502,282,800,214,282,282,500,889,649,800,16,501,800,800,503,500,282,501,790,649,502,503,503,501,500,945,649,503,502,381,800,503,293,367,503,282,501,5,390,282,502,500,309,502,501,677,503,282,501,500,503,236,175,503,649,501,800,502,107,667,960,800,649,502,649,502,501,500,649,504,16,500,501,501,649,502,16,282,503,107,503,500,77,649,500,800,16,502,404,501,16,503,282,502,501,500,323,800,800,800,800,501,500,503,800,282,800,16,800,502,649,502,500,503,500,503,800,501,503,360,800,649,503,16,649,502,28,501,500,501,649,649,649,800,503,649,502,503,503,503,503,800,800,502,500,800,502,503,502,282,502,16,501,649,282,649,503,800,501,501,503,502,730,494,800,503,500,502,502,649,500,502,282,800,800,649,649,800,107,16,282,501,500,649,297,501,800,649,502,649,649,500,503,16,800,500,503,649,500,502,503,504,800,991,282,282,504,800,649,800,500,807,559,649,800,649,501,646,445,501,649,501,372,500,282,271,500,503,500,860,1000,107,504,500,501,502,502,501,16,800,107,504,502,107,503,800,649,649,649,800,649,573,649,282,500,502,502,501,501,16,649,501,500,282,649,502,501,223,500,800,502,502,500,649,800,649,649,800,500,16,16,502,596,502,500,500,502,800,800,798,16,502,503,502,649,649,649,501,502,500,502,467,504,504,800,649,987,503,282,132,501,1000,649,502,501,503,501,501,500,282,649,282,502,500,800,503,503,503,800,800,503,503,401,649,16,800,807,509,501,501,649,503,282,502,649,503,649,500,503,501,501,502,800,500,502,504,419,649,649,503,800,387,502,649,502,503,110,502,103,503,502,501,649,503,649,503,800,500,501,800,501,649,500,501,502,501,503,503,501,649,501,141,107,502,800,501,800,282,503,503,649,500,503,503,501,282,504,800,500,503,503,501,156,503,800,500,649,673,502,800,282,800,502,500,502,500,501,503,282,800,16,282,16,649,800,501,649,649,282,502,800,502,500,501,503,649,649,503,800,500,16,649,282,960,12,649,649,16,501,501,500,800,649,649,503,635,500,943,18,649,800,785,503,146,649,407,503,649,649,282,503,500,503,500,502,502,501,800,500,500,501,107,502,501,503,649,504,501,800,800,501,500,649,501,800,649,649,649,503,800,589,502,502,501,502,502,103,649,800,416,800,649,503,500,503,800,649,502,649,500,649,500,500,103,649,16,503,502,503,503,503,800,500,649,258,16,503,503,502,16,502,282,503,501,500,282,501,500,501,612,500,500,503,502,282,49,504,503,503,16,502,800,503,502,848,983,503,659,500,501,649,501,649,500,501,500,800,595,500,282,771,501,976,282,500,502,502,800,501,649,649,502,21,858,502,395,502,100,360,502,800,503,502,501,649,800,649,500,501,500,649,500,649,649,649,501,502,502,502,502,800,502,503,503,502,861,649,103,649,503,239,503,502,503,649,649,282,500,502,649,649,502,500,649,279,501,500,500,502,500,227,501,800,501,501,282,500,649,800,384,503,242,500,631,503,282,501,503,501,500,83,500,502,508,500,800,502,649,502,853,503,503,390,649,649,366,501,649,500,502,501,107,783,502,503,502,502,501,649,503,800,500,42,920,16,649,80,16,649,789,79,500,253,502,500,503,649,502,502,502,649,503,407,503,800,16,503,501,800,800,705,500,500,502,501,649,503,530,841,501,502,649,502,503,649,503,649,346,501,503,649,552,503,800,800,500,649,501,501,800,830,800,500,502,431,501,503,649,540,500,502,500,705,800,800,249,800,502,500,800,503,426,16,501,502,503,870,649,282,649,500,626,510,502,502,501,501,501,800,502,503,502,143,282,500,938,290,500,282,751,649,503,282,16,800,800,503,800,649,502,502,501,132,282,649,649,800,16,838,504,800,800,800,501,500,502,934,800,501,500,800,840,500,501,614,500,503,472,800,649,800,503,500,501,503,502,503,503,503,649,502,502,501,705,800,649,800,649,502,500,503,500,500,800,800,502,503,4,649,500,649,800,502,649,649,16,16,503,800,800,282,107,502,503,245,800,500,973,502,649,649,282,503,501,16,500,800,800,501,800,16,780,502,649,800,16,800,503,800,800,500,16,800,649,753,145,999,500,856,649,800,501,501,893,503,502,503,503,503,282,503,502,503,503,649,503,649,16,501,649,502,502,649,502,282,502,502,501,503,503,502,800,800,649,800,503,503,504,500,282,16,649,501,649,501,500,501,501,500,501,649,501,282,649,500,502,503,649,500,408,500,649,500,558,649,649,503,902,649,502,800,566,501,502,282,502,500,501,503,800,800,282,503,502,346,502,649,282,649,16,503,800,16,501,503,502,503,501,107,503,503,649,502,503,501,282,503,107,501,503,649,500,502,649,500,649,503,800,282,502,502,504,800,500,503,649,705,649,282,503,501,501,500,502,16,149,282,501,500,800,761,16,282,800,502,937,282,500,501,503,649,501,107,503,649,503,503,501,800,501,500,502,800,502,501,813,503,800,503,504,503,502,717,503,503,16,800,501,501,500,501,107,501,502,502,500,649,649,649,649,500,100,463,500,504,649,500,503,501,502,501,649,649,503,800,501,503,649,501,501,282,282,502,752,503,500,504,353,800,596,282,649,500,503,800,800,501,79,888,501,500,16,800,649,500,503,500,500,501,503,649,503,800,500,502,649,800,800,16,649,308,649,501,649,282,503,282,501,500,800,282,502,500,800,282,800,649,502,800,649,502,500,86,800,504,649,503,359,196,646,501,635,500,501,521,500,500,800,800,502,282,649,501,800,504,503,282,119,649,500,501,282,16,500,800,503,649,800,800,503,16,649,282,502,502,500,705,232,500,675,800,800,501,800,800,500,500,503,800,500,500,500,90,710,800,503,211,470,503,502,503,500,501,500,500,501,649,501,103,501,800,918,501,649,500,502,282,503,800,665,140,282,502,103,502,503,502,503,649,500,502,504,800,502,246,800,503,503,649,282,16,998,500,503,500,800,649,800,649,500,649,800,503,501,502,502,503,502,503,649,16,649,800,649,503,501,16,16,501,649,800,500,502,16,503,147,503,800,503,503,800,501,704,502,800,501,886,503,501,800,502,682,501,800,501,503,501,800,500,800,503,800,502,282,800,800,500,503,649,502,996,503,502,502,502,502,430,503,386,649,90,16,282,649,566,649,503,500,500,503,649,824,282,501,800,800,502,649,282,502,501,502,502,503,800,506,504,500,800,800,503,500,504,500,503,282,502,282,503,282,649,500,501,502,503,103,503,107,502,282,502,282,500,501,800,501,501,649,16,500,800,253,618,16,463,107,103,502,502,500,504,501,503,502,589,501,350,303,649,502,649,800,503,649,649,800,103,275,649,503,500,504,500,500,501,800,800,503,503,501,501,500,500,342,500,502,107,761,503,503,649,463,800,500,502,502,503,282,282,500,500,500,574,503,500,194,503,500,503,501,500,502,503,649,503,649,800,503,649,503,500,787,800,503,500,649,649,224,800,649,503,501,503,649,501,503,282,502,501,500,500,649,649,502,942,502,500,502,500,649,501,503,488,580,502,504,500,282,502,500,500,649,16,649,502,501,500,500,649,649,800,502,800,502,501,502,800,502,800,800,503,282,501,502,372,501,500,501,500,500,503,282,649,502,503,503,800,502,282,503,692,504,502,500,282,503,649,501,800,649,503,503,607,500,282,917,649,977,503,16,800,800,47,395,275,502,800,500,800,503,649,502,649,649,649,503,501,503,845,502,502,16,800,282,502,503,649,501,502,649,649,649,501,503,649,317,502,502,503,500,282,107,800,503,282,800,45,502,794,502,503,891,500,800,110,103,649,522,290,649,503,800,502,504,649,800,705,800,500,502,649,649,502,502,503,16,502,282,338,501,146,503,501,502,800,501,649,800,800,649,928,643,800,501,107,531,800,503,500,503,501,503,282,963,502,500,500,500,649,503,502,800,800,501,501,501,501,792,649,649,16,501,500,417,500,800,502,649,649,800,502,503,501,649,649,800,14,503,501,649,502,500,503,500,901,501,649,649,649,500,501,500,504,800,503,501,504,502,502,500,502,503,500,501,547,649,649,969,800,502,282,649,502,500,501,649,501,649,502,501,503,649,501,503,500,282,500,500,649,501,501,501,500,501,501,974,503,16,25,500,800,503,501,501,502,649,282,908,776,800,282,500,800,800,907,502,503,502,501,800,501,501,503,649,282,282,497,16,650,156,799,800,502,500,503,465,282,500,503,687,503,501,306,502,800,502,800,800,501,485,502,500,500,649,800,649,800,500,500,501,501,503,500,301,501,649,500,649,649,466,502,100,501,503,500,59,501,503,649,800,503,800,502,963,282,649,500,500,800,271,649,649,282,502,500,800,504,649,717,500,800,649,500,501,503,654,649,501,503,500,649,503,282,500,503,800,501,800,500,955,16,501,502,502,501,503,501,501,502,503,501,889,503,441,501,503,421,800,500,161,501,282,16,502,502,282,649,16,282,503,930,502,503,500,649,16,800,955,649,649,500,800,501,503,217,800,800,282,800,502,819,16,800,502,500,501,879,800,501,501,500,913,800,501,800,282,501,800,282,282,800,684,16,501,800,821,503,503,503,800,282,500,910,882,649,800,503,503,502,500,501,501,649,502,502,501,503,649,504,483,504,500,800,500,705,800,501,800,746,500,800,282,502,282,282,500,501,649,503,282,502,218,800,503,503,502,282,502,349,502,503,203,16,502,500,502,502,502,139,502,802,501,502,800,503,282,649,800,649,649,800,649,103,649,501,800,649,764,800,500,800,502,502,649,282,282,502,502,649,649,502,501,503,501,503,500,502,502,282,800,913,357,800,35,500,384,503,504,455,502,500,500,500,455,502,500,503,501,649,800,501,107,282,504,501,500,502,959,29,502,502,500,500,500,500,503,500,500,503,800,503,503,16,430,800,16,503,503,800,501,649,225,503,16,649,282,800,16,504,800,501,501,649,649,649,501,800,502,503,992,333,649,501,501,500,501,500,503,503,503,503,503,174,649,501,649,502,720,502,500,16,16,501,502,16,800,282,196,503,503,800,649,800,500,501,649,502,408,903,649,385,503,503,502,800,500,503,469,503,503,649,649,503,502,503,800,274,649,500,500,502,282,354,800,500,649,501,393,500,800,282,649,800,800,501,889,502,502,16,501,503,649,800,649,192,107,503,800,800,502,500,361,282,502,503,503,16,501,800,469,282,800,282,246,503,501,502,500,501,649,502,500,502,803,800,282,500,282,126,282,502,503,649,282,502,800,649,500,504,800,504,503,688,503,503,327,501,501,504,282,630,502,503,800,500,800,502,16,501,649,649,649,502,501,800,649,503,800,502,649,800,503,800,107,649,500,503,504,16,800,502,502,282,500,501,501,530,500,800,610,500,800,382,800,500,800,327,800,649,282,16,503,533,501,82,724,500,649,501,800,649,502,800,800,502,107,941,649,573,705,502,502,649,282,800,500,800,649,501,649,649,282,500,501,502,16,800,503,649,500,501,282,501,500,502,282,282,500,502,649,800,594,282,503,502,501,649,503,920,503,800,800,800,502,500,649,503,282,282,282,501,503,800,501,501,503,282,500,282,502,500,503,501,649,500,500,503,501,503,282,649,501,42,501,501,501,502,503,500,16,649,649,649,502,282,236,800,501,800,501,501,800,501,649,500,502,16,16,425,649,502,800,649,649,800,503,503,800,503,502,16,502,721,501,665,500,282,649,500,800,500,503,800,717,140,501,501,282,501,501,500,282,893,503,925,503,502,500,503,502,721,502,501,282,500,649,482,501,649,503,477,500,501,500,503,73,503,503,579,503,504,800,503,800,502,856,649,501,503,800,16,880,649,282,649,622,500,622,502,800,719,800,800,504,500,503,800,502,311,503,649,800,649,649,800,649,502,503,501,503,500,502,839,501,502,501,883,501,282,501,502,649,502,466,649,502,800,503,501,500,124,501,500,504,717,500,649,501,502,800,503,611,16,606,500,502,621,649,501,719,501,800,500,502,800,649,502,501,800,502,503,503,502,500,503,503,503,649,503,649,502,500,101,501,282,501,503,503,503,500,649,649,321,502,282,501,800,649,649,500,501,649,502,502,501,48,503,502,800,800,502,502,500,502,503,503,282,136,111,500,800,503,649,16,649,500,59,649,502,501,800,503,502,502,638,282,503,800,500,502,503,592,653,336,502,501,282,500,503,649,502,501,500,649,500,504,502,107,268,502,282,502,503,800,16,502,649,500,800,500,503,282,649,501,649,282,502,502,502,800,800,649,282,500,649,503,800,649,800,800,909,678,500,502,649,502,502,503,10,282,800,503,500,282,800,649,222,649,800,800,503,500,16,800,501,282,649,16,500,656,502,503,503,503,649,500,500,502,502,891,103,282,502,649,501,501,649,501,282,503,503,503,501,501,800,800,649,501,502,501,503,500,501,502,282,500,800,501,502,500,501,800,503,800,290,500,501,502,500,649,501,500,800,649,501,282,500,501,649,800,700,502,503,800,502,501,282,502,502,649,504,282,503,800,800,649,720,103,649,501,502,800,503,500,649,503,468,501,107,800,502,502,991,823,649,503,503,943,502,870,649,649,800,800,649,800,502,779,649,501,649,500,500,503,800,16,649,765,800,502,502,501,16,649,800,502,800,932,200,282,800,800,501,501,501,500,503,501,426,271,503,800,573,800,800,502,649,502,502,16,649,649,800,538,933,500,503,503,501,500,503,502,800,502,800,680,502,502,649,503,501,800,649,503,649,800,502,503,502,800,800,501,800,500,500,649,500,282,502,649,282,800,503,740,501,800,500,502,166,502,503,649,800,501,649,876,649,500,503,649,107,500,649,282,503,502,212,288,800,107,482,502,404,501,800,649,502,503,800,500,500,649,649,282,502,282,503,282,503,500,86,649,282,501,974,800,501,649,649,483,500,504,649,37,800,282,501,800,649,502,72,705,501,503,501,503,502,500,282,502,100,470,649,501,502,502,649,226,500,422,501,502,500,800,502,768,500,503,502,503,501,503,649,1,649,800,129,649,504,500,912,502,282,649,800,501,16,502,633,649,649,649,503,282,503,800,649,500,370,501,177,800,501,282,502,649,800,534,872,649,501,230,502,503,649,649,282,503,67,578,16,500,282,800,622,502,502,501,282,800,103,500,503,502,103,649,501,502,800,414,502,800,502,437,16,800,500,500,503,503,500,58,503,502,503,503,503,186,503,16,649,501,501,649,388,649,800,107,500,500,649,107,282,502,282,503,503,500,502,800,635,282,807,500,800,16,800,500,603,3,282,649,502,503,501,503,649,502,800,502,16,502,800,504,500,500,503,502,800,585,500,501,500,282,502,800,282,800,282,503,626,501,502,649,282,649,500,314,503,501,502,800,500,16,705,501,800,800,800,103,649,800,605,502,649,502,800,503,501,800,503,501,282,502,649,649,501,374,501,502,502,501,800,502,620,282,282,800,282,501,500,907,282,502,504,500,800,590,502,502,502,501,282,503,282,502,800,501,738,649,649,282,929,800,501,649,502,498,649,800,16,800,503,800,595,350,500,800,503,500,503,500,503,16,649,501,502,800,503,501,974,500,503,282,16,800,800,649,231,202,501,501,504,282,501,898,500,800,500,502,800,503,638,800,501,649,503,103,502,503,501,500,503,504,501,800,800,501,649,282,500,52,800,520,502,649,649,502,501,500,686,800,649,503,649,501,502,500,800,590,447,800,649,500,282,501,502,897,500,501,649,502,500,65,500,501,599,800,502,503,649,649,590,711,500,502,800,282,840,500,500,500,503,503,500,501,501,649,531,501,107,501,503,502,503,503,114,500,800,86,503,503,928,282,800,282,998,501,282,191,282,649,13,503,501,501,649,500,500,502,502,800,501,503,500,649,501,16,503,502,211,649,110,16,191,501,282,649,500,503,502,282,800,500,800,502,649,503,649,282,502,503,501,501,500,502,649,649,501,649,937,503,503,800,800,501,282,649,501,503,502,282,500,500,282,500,800,500,500,282,501,282,500,500,501,501,749,503,500,503,649,502,500,503,800,800,501,649,705,282,649,16,675,501,649,282,503,649,500,16,501,503,800,213,500,502,368,649,282,503,649,503,503,500,502,503,800,501,503,500,500,501,282,501,502,502,649,500,286,500,649,501,500,168,501,504,503,649,503,282,503,800,103,800,503,501,479,649,502,228,9,649,501,649,502,503,500,502,16,501,501,282,800,502,649,800,503,649,347,289,894,183,282,501,503,733,501,501,500,649,502,502,649,502,649,502,649,501,503,560,502,503,800,649,649,800,16,649,800,800,502,103,500,504,503,649,649,103,282,501,26,500,502,800,501,649,502,983,502,503,800,800,501,551,649,16,649,500,503,649,501,475,282,649,502,800,500,17,501,649,800,501,502,649,502,800,395,16,649,649,649,503,502,458,502,501,501,502,500,841,500,107,501,649,500,649,208,16,649,500,976,649,500,502,503,503,282,16,502,800,501,503,800,291,503,502,500,500,649,127,503,65,325,649,622,501,501,501,250,502,800,800,503,503,500,501,649,649,366,800,502,501,16,282,172,500,800,649,503,282,486,503,500,282,969,649,501,630,800,824,502,503,649,502,649,503,501,503,282,648,500,501,500,500,501,16,649,501,390,282,649,649,501,500,800,618,500,500,649,502,800,16,800,649,649,800,282,502,501,502,649,503,501,282,705,503,16,500,502,800,649,501,500,357,27,147,501,800,503,839,503,800,362,16,710,501,800,501,282,8,503,282,501,500,502,800,501,500,649,503,500,282,503,500,282,501,800,502,502,649,503,725,503,223,503,501,109,800,282,107,800,503,107,501,282,800,800,501,503,503,500,649,502,501,500,16,649,502,502,503,500,800,502,502,705,502,502,503,800,503,800,282,501,617,649,501,503,502,649,800,216,282,528,649,360,649,502,501,800,282,649,800,441,282,500,500,649,282,502,649,503,500,649,501,800,349,501,501,500,501,500,800,502,503,500,800,282,501,503,800,502,213,282,502,649,606,503,500,500,503,503,500,649,800,800,500,503,503,800,282,501,500,504,649,502,504,649,800,649,503,649,504,282,800,500,501,19,800,501,337,282,500,502,282,649,503,649,502,282,649,649,500,501,500,800,649,501,501,649,501,649,502,501,800,282,800,282,649,800,502,794,800,800,501,649,800,501,503,649,503,649,282,500,502,649,503,375,501,500,502,500,996,538,500,16,665,503,800,502,16,231,503,502,656,501,500,282,502,800,107,800,800,24,503,501,649,502,681,503,500,500,500,282,500,503,409,857,649,456,7,800,245,500,502,501,502,715,800,502,503,501,859,502,649,501,500,785,16,502,502,800,503,501,649,800,502,500,800,502,501,503,500,502,361,501,503,501,503,500,503,500,502,649,472,501,501,800,500,314,500,604,302,800,500,500,91,800,501,800,502,800,800,503,503,755,502,503,282,503,503,800,503,16,501,139,501,502,503,501,500,501,501,503,500,501,500,503,503,16,800,500,500,800,502,649,782,501,500,501,500,500,800,649,501,908,502,501,501,503,501,126,734,800,800,502,500,503,500,282,502,107,503,800,500,500,649,800,282,125,503,501,500,500,502,501,800,800,501,501,501,649,501,502,502,500,800,589,501,800,682,800,800,501,500,500,503,500,649,429,502,501,501,649,867,282,502,855,800,502,501,502,800,800,477,649,503,800,503,500,649,503,422,649,359,649,500,500,503,107,649,282,501,502,500,34,504,501,501,500,282,503,501,503,503,502,503,871,800,649,800,503,503,649,500,502,500,282,282,419,502,504,503,501,503,71,179,503,136,103,649,500,501,500,502,503,502,649,500,649,503,800,500,501,800,282,501,996,503,649,503,282,800,282,649,502,501,282,502,501,502,503,16,480,500,800,500,649,502,807,501,800,800,282,503,500,800,502,839,103,503,103,649,800,288,503,503,503,800,502,502,282,503,316,837,502,788,503,503,704,649,649,503,503,154,362,800,800,367,282,501,649,502,676,501,500,800,502,500,649,502,282,649,682,710,503,800,501,503,156,649,373,501,800,800,901,500,501,800,500,500,501,500,501,500,501,282,282,282,16,800,800,239,503,800,503,501,502,476,500,502,503,649,500,800,502,501,501,500,411,16,502,800,500,282,800,888,843,800,800,503,282,503,503,970,800,649,502,649,282,649,500,500,503,503,649,503,503,500,16,853,800,800,500,800,282,500,501,503,503,526,282,649,503,16,502,500,500,500,649,501,502,500,865,800,649,800,500,500,649,503,282,502,800,282,649,501,412,500,500,282,502,500,501,997,503,501,502,800,502,16,16,503,287,800,649,642,500,503,502,800,503,800,502,500,282,570,282,500,800,502,500,503,503,649,501,649,649,501,649,503,918,503,800,649,800,929,282,800,503,800,16,503,157,502,800,500,649,649,501,500,503,503,500,282,800,502,287,502,282,502,502,502,504,649,318,502,800,800,503,502,380,503,414,649,817,502,503,649,138,800,649,501,967,501,649,502,500,504,501,800,501,734,503,501,649,800,319,282,501,649,501,800,16,649,282,800,282,503,282,501,500,649,800,282,503,16,501,501,501,800,649,503,120,503,502,285,16,501,502,282,502,502,649,800,503,331,503,501,282,649,433,282,501,800,649,501,800,501,503,501,107,800,504,501,502,649,282,502,101,649,500,500,649,502,546,800,502,502,465,814,500,501,107,500,649,800,501,800,501,800,800,687,800,501,503,800,572,501,503,649,800,502,503,500,223,107,502,17,503,282,503,500,503,503,649,422,503,502,501,500,501,842,649,282,503,502,501,800,501,503,16,503,503,500,282,282,649,502,503,52,973,502,503,501,800,503,649,918,501,282,502,649,649,236,800,500,800,503,649,800,500,649,282,504,501,502,649,500,800,800,503,800,501,502,800,649,590,501,501,501,503,500,800,226,501,388,503,503,282,503,666,16,431,501,649,501,503,504,500,16,501,500,800,388,649,503,500,502,500,800,500,705,504,502,503,502,800,800,501,317,502,648,503,504,245,649,502,16,503,503,503,649,503,282,800,503,282,744,800,502,649,503,501,649,73,503,543,16,649,800,16,500,200,501,501,217,282,504,500,800,800,800,800,800,282,282,500,500,800,649,502,503,649,502,800,501,649,683,501,835,500,800,649,649,503,800,649,649,500,207,282,649,503,500,503,502,282,503,502,800,800,649,500,503,800,501,502,502,374,519,103,500,502,800,500,501,372,649,649,502,649,881,503,502,648,500,503,800,16,282,338,477,503,502,199,503,502,501,16,501,501,800,649,500,800,500,503,800,503,282,503,501,800,502,649,502,19,503,107,16,503,533,501,841,501,649,501,502,500,740,503,649,500,502,800,501,800,16,501,800,500,503,500,501,800,502,503,502,800,502,800,502,282,503,800,501,282,500,502,503,500,800,502,615,649,502,503,415,501,649,37,501,896,739,107,649,502,91,283,503,502,501,526,503,873,503,501,501,963,282,800,501,504,504,649,800,503,502,613,503,500,504,282,800,503,282,282,282,16,502,800,503,500,649,282,501,502,501,649,501,649,504,800,500,282,502,501,501,409,503,649,503,502,800,501,282,503,800,800,502,502,501,649,16,501,501,800,649,396,100,502,737,503,503,467,282,282,282,502,503,649,502,649,501,502,501,746,503,574,649,502,503,649,500,800,800,500,282,323,503,500,503,282,501,800,503,503,500,649,503,503,502,16,649,502,502,649,501,502,500,800,558,501,500,649,800,800,502,649,500,502,502,800,500,503,500,800,503,800,649,503,800,800,282,649,500,107,500,282,500,503,502,800,649,500,501,282,132,800,649,649,649,649,503,503,500,501,524,244,649,502,503,503,103,225,282,500,800,649,503,649,649,282,500,503,500,500,282,103,282,649,500,649,23,501,501,282,502,282,800,503,503,501,380,503,282,800,501,16,502,501,503,107,413,504,503,504,503,500,502,649,282,503,501,800,859,649,502,800,649,341,800,282,501,649,649,500,800,16,649,500,503,500,282,501,649,649,800,503,282,501,504,16,800,501,800,800,107,502,332,502,911,282,649,649,16,503,502,649,817,649,800,282,270,649,696,500,501,800,665,282,501,649,926,800,503,502,800,619,503,16,504,500,500,649,16,503,649,500,103,800,323,500,800,649,649,800,501,503,670,649,502,16,800,502,649,800,440,800,502,800,502,833,502,649,502,503,800,502,503,500,504,649,501,649,502,501,441,649,800,800,503,107,503,500,16,503,16,500,501,649,501,503,649,649,649,502,861,500,501,649,501,500,800,787,503,502,500,800,536,501,500,501,107,800,9,503,503,502,500,120,107,501,501,800,435,502,182,649,501,800,304,257,649,503,585,503,503,282,800,289,501,906,502,800,649,502,502,800,501,116,800,788,503,501,503,502,807,501,895,929,501,501,503,82,502,501,501,649,800,16,503,500,500,503,800,800,690,828,800,800,654,59,800,412,439,800,503,16,501,282,649,800,800,649,502,649,502,500,800,193,502,979,501,502,899,502,501,502,503,501,649,503,500,282,500,502,800,649,95,282,502,500,501,649,251,502,800,800,769,288,16,500,503,460,504,502,500,501,501,800,767,282,649,130,800,800,500,503,998,282,282,502,649,837,800,649,500,488,500,502,503,649,501,500,649,502,700,649,282,503,503,696,649,16,800,928,502,503,16,282,503,500,800,649,227,282,800,502,500,16,504,601,500,503,800,649,16,649,689,500,649,800,800,500,649,501,288,504,282,282,500,107,16,16,282,800,980,504,503,501,649,282,501,503,501,800,496,501,501,500,503,498,501,502,101,556,800,649,501,501,500,502,501,649,649,501,500,71,503,503,501,910,500,800,800,800,500,503,502,800,16,800,500,501,630,800,800,500,299,501,501,649,502,500,503,16,501,501,501,502,649,500,500,800,503,501,503,800,649,800,501,503,225,800,504,282,282,218,500,516,500,282,504,503,503,501,282,800,282,503,649,500,500,501,800,501,500,501,800,503,378,502,502,107,800,800,107,282,35,500,3,500,987,500,16,282,503,502,504,326,964,282,16,282,502,503,800,51,501,503,649,73,146,800,501,649,500,501,282,649,502,500,665,521,337,500,501,503,503,800,500,503,16,503,282,649,649,500,16,282,502,501,800,501,800,501,800,503,501,502,503,649,500,649,501,649,500,501,502,500,503,800,503,282,503,203,500,800,282,692,501,503,206,501,282,800,500,800,504,500,503,500,501,16,502,503,649,500,649,800,503,54,503,649,503,16,503,502,800,800,500,975,800,232,500,649,81,354,649,800,503,520,502,502,800,800,800,500,16,800,800,500,502,532,800,503,282,649,282,16,593,800,502,502,649,501,649,504,501,501,649,649,906,503,502,16,503,502,16,649,502,649,502,503,503,800,16,501,503,649,502,800,649,867,282,500,103,649,503,107,500,500,501,701,501,282,501,649,800,649,574,502,502,691,503,649,500,502,502,501,568,502,502,800,503,16,649,503,282,503,503,282,800,649,500,503,503,420,500,201,282,800,502,800,649,511,282,649,500,503,16,649,794,501,649,649,501,501,800,501,501,500,501,501,500,500,800,345,500,282,503,502,800,500,503,800,504,800,501,649,222,502,107,500,649,330,502,649,500,502,649,800,501,952,649,503,502,503,21,501,503,502,503,464,282,503,800,341,502,14,501,500,502,502,501,500,501,631,649,649,282,16,501,800,502,503,501,502,107,628,649,649,649,502,800,649,501,504,953,282,649,500,800,800,503,500,501,503,800,500,500,649,282,800,502,649,282,800,502,500,427,649,502,16,649,251,500,196,502,282,16,649,501,649,502,503,800,500,503,503,503,282,16,16,502,795,649,107,187,800,501,503,502,503,501,649,649,649,388,16,500,800,649,500,500,800,649,282,500,502,282,1000,649,503,800,502,649,500,649,500,500,500,502,503,649,800,282,338,502,800,503,16,503,16,733,503,649,649,502,103,500,500,282,649,500,649,500,103,502,502,500,500,800,503,282,503,649,503,501,500,501,503,502,649,500,502,705,502,649,502,500,800,800,501,503,107,800,561,502,501,501,800,649,503,282,503,503,503,501,107,501,649,500,98,501,503,502,282,107,502,501,502,282,500,800,503,500,503,649,500,800,800,503,503,502,16,800,500,501,503,282,800,83,502,800,852,649,649,107,503,503,500,500,800,800,501,800,16,500,252,500,503,503,500,502,649,64,16,649,649,800,501,500,503,502,501,649,501,504,16,4,800,501,91,503,282,987,649,500,649,950,502,500,501,502,994,503,800,195,503,500,329,800,502,282,500,501,503,501,986,649,503,500,991,34,501,800,730,958,503,800,500,649,501,500,649,503,501,800,501,501,502,502,380,649,503,503,502,502,800,282,502,649,800,503,649,660,500,501,501,800,16,503,649,649,800,500,800,503,649,501,501,805,800,502,503,502,311,649,500,649,800,16,502,282,501,502,501,768,649,649,705,649,282,503,501,503,800,800,502,859,502,501,649,282,502,800,800,800,800,502,649,649,503,501,800,649,503,502,501,800,502,502,501,503,800,503,988,502,500,800,501,502,705,30,501,501,800,282,651,800,500,800,501,282,16,504,502,500,314,502,800,501,501,800,502,293,282,375,649,649,16,503,504,215,503,800,800,503,503,649,649,16,649,867,500,649,500,503,502,502,503,826,503,800,500,501,107,500,501,503,89,503,351,800,649,282,501,503,502,503,501,800,282,619,500,945,501,649,501,502,501,501,800,800,649,503,502,502,502,649,703,503,502,282,503,503,649,649,502,501,649,501,501,800,500,800,503,649,972,16,800,390,649,500,501,503,649,344,503,800,686,376,502,800,282,300,649,29,500,800,500,714,462,282,501,502,501,502,800,501,502,500,282,503,502,504,501,800,500,800,503,800,800,500,649,503,501,501,987,418,103,500,502,107,501,502,843,800,502,649,282,649,649,501,503,502,502,500,95,649,501,503,503,649,282,503,649,649,107,500,501,503,649,649,649,502,800,800,500,800,500,502,244,502,503,649,786,800,500,502,502,187,649,502,800,881,500,681,501,501,16,800,649,500,500,503,47,501,1000,503,282,649,502,107,501,503,649,341,502,800,501,16,16,502,790,800,103,504,802,503,810,502,503,500,282,319,800,649,800,477,282,502,705,501,500,501,501,502,502,500,502,501,800,800,282,500,502,503,502,800,503,665,756,800,800,502,649,501,800,893,282,500,501,501,503,657,16,282,504,282,322,800,502,800,649,503,503,649,107,503,458,282,504,503,463,16,503,503,503,800,649,502,649,503,800,25,500,502,864,800,503,649,502,501,500,503,500,64,502,649,502,649,800,501,372,800,502,356,531,500,649,500,501,502,500,170,502,256,16,526,500,502,502,500,503,500,501,649,649,649,16,503,504,501,889,107,502,800,502,503,503,282,503,282,800,503,310,503,501,501,503,504,649,500,968,503,649,761,500,800,503,461,831,571,503,800,502,503,282,649,282,800,649,500,932,800,502,946,649,503,501,800,504,501,649,282,504,862,800,501,734,148,800,500,649,501,502,800,649,500,501,501,835,282,500,418,16,500,500,649,501,800,503,501,16,502,501,800,282,667,445,282,503,282,500,385,649,649,503,500,649,800,101,502,503,797,500,800,345,502,500,334,503,503,500,502,800,502,502,500,649,267,282,458,500,501,22,649,990,800,649,630,282,502,503,503,501,649,502,502,649,649,502,649,800,500,560,282,649,649,800,502,501,503,282,649,502,502,501,800,500,503,680,800,800,503,800,69,800,503,649,897,282,16,501,282,716,649,832,501,503,16,282,501,147,503,503,501,500,500,649,503,649,503,501,423,501,504,503,502,649,500,649,16,107,649,500,282,800,502,503,500,503,500,502,503,282,649,282,800,502,502,282,649,89,800,503,800,282,500,501,103,32,649,282,649,503,800,16,282,282,503,16,503,107,502,500,16,16,800,501,501,502,500,427,500,282,503,649,501,16,502,649,500,649,504,103,800,800,282,800,649,503,502,800,503,591,502,504,500,649,800,800,502,409,649,469,649,649,502,884,502,503,649,501,649,502,649,16,501,502,825,500,503,243,2,282,501,865,800,500,16,649,649,282,503,503,501,501,979,501,16,501,503,701,501,282,16,800,501,501,649,850,503,813,500,282,503,16,649,800,282,223,282,500,503,500,502,500,649,502,500,282,800,500,502,800,503,800,501,864,800,501,502,16,503,107,500,800,800,500,501,800,1,800,500,500,103,500,800,502,503,800,800,800,503,501,501,501,1,503,502,649,16,800,500,390,501,800,502,501,649,685,800,800,486,282,800,230,501,16,282,776,649,800,708,502,503,800,500,740,502,800,800,649,631,501,649,727,510,800,649,800,16,501,302,800,774,649,800,800,502,500,503,502,501,501,502,503,477,501,105,501,649,501,649,503,800,502,649,821,501,800,16,282,504,500,503,649,16,502,649,502,800,649,697,649,800,502,503,639,152,503,503,800,500,501,501,800,811,567,501,500,500,503,500,800,502,503,500,501,842,800,502,282,755,501,500,501,16,501,502,649,282,16,16,649,502,16,649,500,503,503,800,800,297,649,501,114,504,502,649,16,501,800,282,503,16,500,649,503,16,110,649,503,503,283,744,649,502,433,501,501,501,282,199,503,376,500,500,800,800,503,97,503,649,502,800,649,502,500,501,649,503,501,502,500,649,501,759,956,503,665,390,800,649,649,501,504,878,490,649,649,21,649,800,501,501,282,501,501,500,502,800,502,501,502,501,502,126,501,502,503,649,605,503,501,501,649,502,503,282,800,500,502,262,500,502,502,74,246,503,502,649,950,649,501,649,649,503,501,800,500,282,502,649,503,500,501,800,500,501,503,839,559,800,500,527,502,503,503,107,649,503,500,502,649,867,500,121,800,500,502,500,689,502,834,649,501,649,16,502,501,503,649,500,367,501,503,501,501,649,502,911,800,501,500,501,649,503,649,502,53,649,502,350,800,503,500,501,503,504,98,501,649,800,503,501,503,649,500,501,54,503,282,501,820,331,800,502,500,500,282,503,306,282,282,503,500,503,462,282,503,501,503,649,503,649,501,800,90,16,501,649,501,649,500,503,502,501,282,800,656,800,800,503,503,503,246,503,501,502,500,649,800,282,649,501,502,800,285,500,800,501,501,649,501,503,282,503,649,502,503,503,502,800,649,649,502,282,16,502,503,16,650,800,501,800,502,503,654,501,778,649,649,500,800,502,16,503,16,282,649,800,800,282,500,941,649,800,807,500,729,282,418,800,649,500,800,649,503,16,503,503,800,649,500,800,282,502,501,502,504,649,649,503,502,649,503,601,649,800,800,800,500,503,501,503,503,800,800,502,501,503,282,501,800,800,500,800,501,282,502,649,800,282,16,500,501,649,800,503,649,702,501,282,501,800,800,503,585,527,500,502,16,649,595,800,40,800,501,649,504,502,16,500,800,800,649,500,500,649,282,504,836,282,282,500,502,500,800,800,502,282,497,501,647,500,649,649,500,282,604,800,649,503,500,503,103,500,502,465,500,800,649,649,501,282,649,649,282,282,501,800,649,502,649,800,500,501,800,504,282,501,502,13,326,501,501,649,501,502,503,711,115,500,800,503,503,649,500,501,99,645,501,500,500,16,800,16,503,700,504,675,800,250,649,649,500,800,500,800,501,282,800,502,500,16,649,800,503,649,282,282,800,504,649,503,649,764,282,503,608,500,502,501,503,49,649,649,500,502,800,502,490,501,500,16,500,649,502,502,503,3,502,501,503,501,502,502,501,521,500,107,502,800,503,502,500,503,502,501,282,502,800,800,503,128,649,503,649,829,503,500,800,649,107,837,500,982,649,800,800,48,502,503,800,502,503,501,502,800,693,649,500,401,501,503,500,501,649,800,508,500,282,503,649,503,502,502,500,500,503,649,502,503,504,502,503,800,800,500,800,649,649,649,649,500,503,503,500,91,649,500,804,503,800,649,501,501,501,800,649,502,282,501,800,493,503,705,501,502,807,800,799,696,16,503,501,504,502,500,503,329,503,500,757,282,501,108,649,649,503,371,501,800,649,501,502,500,500,500,500,282,16,16,649,282,500,500,800,800,56,504,503,107,649,500,503,800,883,419,502,502,815,282,502,800,500,800,649,339,504,800,502,282,649,649,800,502,282,649,500,502,282,501,58,800,503,503,800,282,503,649,500,501,502,500,500,504,649,500,503,500,649,500,503,503,282,503,649,501,501,649,501,800,500,501,501,649,504,500,892,107,503,878,503,660,649,807,502,649,502,849,953,501,502,16,757,500,800,501,501,281,501,500,503,502,387,85,500,501,800,800,649,503,501,500,504,502,501,503,441,501,649,501,503,500,503,649,130,500,800,800,500,500,282,501,501,800,503,282,356,451,282,649,95,723,444,800,502,503,282,501,282,107,503,501,502,800,500,501,502,800,503,504,800,504,540,502,649,504,40,500,501,560,147,800,500,800,503,503,282,282,501,800,500,282,502,500,282,504,800,649,502,501,500,500,502,502,502,649,226,501,800,500,107,503,503,649,649,519,501,500,502,503,282,503,502,500,503,502,103,466,502,800,501,800,502,352,811,648,503,282,282,800,16,503,503,832,649,503,195,800,649,500,501,503,501,503,729,929,502,282,649,800,500,559,16,501,649,649,800,649,501,958,502,145,800,800,501,866,649,500,649,953,800,473,503,649,282,501,504,503,500,800,501,503,800,500,501,503,502,502,334,282,503,501,500,501,649,343,501,501,503,504,500,501,16,800,800,269,282,800,501,502,501,800,501,649,500,502,500,649,502,800,500,282,502,649,800,503,500,282,649,501,501,501,282,501,76,501,502,888,502,649,503,800,649,649,479,282,500,649,268,953,501,649,503,800,16,282,649,282,503,282,502,503,282,502,502,224,500,649,500,16,503,630,503,282,649,649,502,649,500,649,502,383,500,1,63,649,501,502,503,501,215,16,800,501,501,177,502,501,282,501,800,103,501,16,501,649,282,800,501,502,503,502,282,501,649,16,800,800,282,800,501,503,502,282,800,921,649,502,110,715,503,503,649,649,107,705,282,518,502,800,800,500,800,800,202,501,500,503,503,502,503,500,500,282,282,800,282,503,800,800,503,501,500,502,501,273,800,176,800,503,911,572,971,500,800,862,503,649,649,150,502,103,800,891,500,504,501,502,500,500,503,649,502,502,502,312,500,500,503,832,502,502,649,649,282,800,501,500,16,503,500,503,500,16,649,649,504,501,501,800,503,800,501,500,649,502,828,282,503,503,625,503,501,800,649,800,800,649,503,501,800,100,16,800,502,800,800,649,649,649,503,500,502,501,649,980,649,503,503,503,502,649,502,396,500,501,500,777,800,649,500,649,500,800,800,236,948,500,503,503,800,800,400,282,503,502,640,649,502,500,461,282,649,649,500,800,800,282,800,649,800,501,501,800,649,503,503,503,649,649,500,502,418,502,800,502,501,16,503,501,391,875,501,714,503,503,500,649,800,502,800,503,504,649,502,649,501,500,501,501,503,501,500,500,502,502,800,501,800,800,800,501,649,688,800,96,649,46,503,503,800,973,16,594,649,502,503,500,501,649,502,501,502,782,501,270,502,503,502,502,503,800,800,282,649,500,800,649,504,16,501,800,649,500,649,503,649,498,858,649,502,800,649,504,480,500,649,649,800,282,502,501,664,649,16,500,329,503,501,503,649,501,282,500,502,649,107,501,16,649,501,951,501,800,649,649,502,800,500,800,502,282,72,503,649,886,74,282,500,502,500,524,649,503,74,282,329,103,501,502,500,503,649,500,177,762,503,240,417,16,629,503,501,500,649,16,502,649,501,534,649,738,500,503,501,502,502,800,503,282,503,503,501,500,800,800,681,500,649,282,827,503,800,502,503,649,500,649,501,649,500,501,800,16,500,825,282,502,503,649,649,502,282,800,649,282,503,282,501,878,800,282,501,649,649,800,500,502,503,501,503,649,125,501,282,282,800,282,107,967,800,501,501,649,282,312,501,542,501,502,649,501,800,504,501,503,800,500,282,800,500,803,503,500,800,501,220,503,800,500,500,5,832,500,501,16,16,800,503,800,282,282,639,649,800,649,800,313,502,501,649,282,282,503,16,127,500,107,800,800,649,502,501,503,500,649,501,501,501,40,500,282,107,501,649,649,503,503,800,502,649,502,502,503,502,649,649,649,500,501,501,800,800,282,800,441,282,501,282,502,503,800,649,212,504,800,500,107,503,504,500,800,436,800,501,282,705,501,649,16,503,500,501,500,751,649,995,800,502,502,282,501,800,649,282,500,500,503,537,501,502,492,800,500,502,501,107,502,501,503,502,282,800,504,500,502,800,501,501,800,141,500,500,500,649,502,501,800,503,800,649,502,501,811,502,800,649,428,500,649,502,894,282,501,16,16,282,162,502,800,800,501,500,313,501,500,500,649,501,502,72,800,503,502,500,999,503,107,16,994,649,501,502,649,778,314,823,16,59,501,502,500,649,800,500,800,282,500,388,500,502,502,502,503,800,503,502,503,500,5,800,615,504,282,100,157,800,16,501,504,503,800,800,502,501,800,501,502,501,502,501,500,649,501,503,800,649,181,502,936,103,282,16,800,649,503,500,990,503,500,977,500,502,649,800,501,139,502,705,16,800,967,649,501,103,282,649,333,503,501,551,800,16,649,425,562,349,501,501,502,103,800,800,501,800,503,503,282,68,744,649,969,282,501,502,649,800,502,501,800,800,502,502,70,502,800,683,16,649,16,800,501,501,502,500,282,501,800,800,502,500,502,500,16,500,16,503,501,718,503,649,107,500,500,282,107,503,502,501,500,501,457,282,501,800,800,501,500,800,16,800,649,649,282,500,177,649,502,503,503,683,501,502,800,16,800,800,502,649,800,649,282,649,282,282,649,800,800,109,246,282,502,503,801,500,503,501,500,503,503,649,502,16,384,502,282,503,800,800,405,256,800,502,502,2,800,501,501,470,502,503,503,570,907,800,503,502,649,500,282,502,572,16,282,775,649,502,501,800,800,649,502,282,653,133,649,503,500,503,501,500,800,800,800,502,282,501,503,649,800,282,16,282,927,502,649,649,20,800,503,501,16,107,500,503,503,16,500,649,649,649,501,715,83,500,501,500,783,502,649,503,282,649,16,800,500,500,16,532,503,649,800,501,501,501,649,612,649,800,800,948,502,501,16,500,502,800,500,800,501,311,502,503,503,800,502,800,800,501,620,95,500,282,257,558,282,107,503,16,500,501,282,501,501,282,501,301,500,500,164,501,500,282,800,500,503,944,282,500,503,800,837,16,503,500,501,500,479,504,800,503,503,502,649,500,282,649,752,649,502,800,653,800,111,500,800,501,282,502,649,800,502,500,649,649,503,869,503,500,500,501,800,282,501,503,500,956,563,501,503,502,501,649,800,649,501,503,800,502,83,282,502,502,502,501,282,800,800,705,500,502,503,502,500,405,500,502,800,800,282,78,501,649,504,440,16,569,501,500,502,649,500,502,504,800,88,16,500,441,707,649,800,502,345,800,501,649,501,501,398,503,649,800,500,800,282,501,503,502,500,503,502,503,282,125,800,502,502,16,500,800,500,503,924,502,501,503,500,501,800,800,870,16,500,501,658,788,500,502,500,503,501,395,800,649,503,502,500,800,500,501,705,502,503,501,500,16,649,501,800,500,800,502,503,649,282,500,501,360,503,500,500,501,502,800,500,501,16,649,500,800,504,529,649,800,16,649,282,502,16,800,125,761,501,800,16,832,212,503,800,23,649,282,503,501,502,501,501,800,501,649,649,503,800,502,503,502,282,502,503,649,500,503,59,800,500,500,503,16,502,16,502,282,800,502,819,60,600,649,502,500,504,504,500,800,500,800,33,800,503,649,502,503,503,282,501,501,504,800,649,500,500,800,504,282,800,502,502,107,502,800,501,783,500,649,502,501,502,649,800,800,801,649,282,1,501,502,649,800,282,800,501,956,681,502,500,500,649,501,503,501,501,16,800,282,800,501,800,502,800,501,503,649,500,649,501,800,503,500,501,501,116,649,800,503,502,282,800,502,503,500,649,502,501,503,502,502,103,502,503,649,503,500,501,649,503,800,16,503,3,501,503,282,500,503,649,501,501,800,103,649,503,501,500,16,500,503,800,502,800,500,501,503,504,500,503,503,649,282,103,282,500,678,16,502,649,800,590,502,849,800,502,501,800,503,649,503,500,800,501,501,502,501,500,649,501,649,503,282,282,500,501,800,501,500,800,503,800,501,503,502,800,649,502,503,503,503,649,500,500,502,501,500,502,16,742,103,800,800,502,501,501,503,502,688,16,282,500,649,649,649,800,503,649,649,502,500,862,500,649,502,502,502,502,502,649,649,800,502,502,503,500,501,503,501,282,800,16,501,800,649,1,649,800,208,601,237,503,800,503,501,503,503,649,501,502,800,649,501,501,380,649,502,229,800,502,800,501,106,502,502,800,503,503,503,800,503,500,649,503,649,649,501,649,558,502,649,938,649,649,649,502,282,649,996,501,649,500,502,649,503,504,800,501,614,649,501,501,396,800,649,649,807,503,502,800,501,282,503,946,800,649,501,502,500,503,800,501,502,800,542,800,503,693,807,649,649,502,800,649,501,500,502,502,800,151,800,500,503,800,242,501,800,800,800,461,500,500,500,855,502,800,502,502,282,501,503,649,100,503,501,282,800,324,282,501,501,649,503,282,282,503,502,500,503,786,500,502,502,500,649,526,16,800,649,107,502,500,186,61,282,503,501,800,649,503,500,16,501,649,504,699,800,503,800,649,503,503,502,800,503,500,282,502,649,501,501,282,649,503,503,501,500,500,649,502,284,572,282,501,324,500,500,800,504,705,578,107,500,503,501,503,503,501,501,500,800,800,502,227,649,501,501,282,669,503,501,502,500,282,282,500,636,649,800,503,16,503,16,16,16,649,500,500,500,16,649,500,503,800,649,503,500,503,503,649,503,649,800,649,500,503,805,99,504,800,800,503,500,800,890,705,503,502,500,800,800,159,501,997,226,500,500,500,649,800,500,741,502,502,282,503,500,502,501,504,501,500,502,106,500,500,16,501,501,501,800,775,794,649,500,501,502,501,282,502,501,502,282,791,503,502,500,501,500,502,657,649,800,501,500,649,503,282,649,500,500,502,282,503,649,502,503,49,501,501,500,705,502,282,800,649,502,282,503,282,552,298,215,503,649,502,500,502,16,501,495,503,927,504,500,500,500,500,500,504,501,503,504,649,416,500,603,800,806,501,501,511,500,500,800,329,649,502,800,501,501,501,107,800,503,501,501,16,501,916,501,502,501,800,800,649,502,372,16,503,503,282,503,649,501,502,635,501,502,503,800,282,503,800,800,800,500,800,503,649,649,503,800,500,503,541,800,503,500,503,503,282,503,501,500,649,649,649,503,503,503,649,298,500,503,502,800,649,800,502,502,504,452,502,649,502,858,295,503,502,107,502,800,501,500,16,649,800,649,502,16,504,500,500,502,16,16,991,501,503,800,821,503,806,649,502,404,282,800,635,800,800,282,502,503,500,502,800,62,649,237,649,649,500,500,649,800,500,501,500,502,503,649,282,503,800,501,282,800,502,282,502,500,455,103,500,649,500,800,503,349,501,503,915,500,800,503,501,315,945,649,504,500,500,500,649,321,800,649,501,800,103,501,800,503,841,503,649,282,258,503,500,500,501,800,800,502,649,503,502,186,504,800,500,501,501,160,502,800,502,503,800,501,503,500,150,282,502,263,649,649,502,547,501,103,500,503,649,501,800,500,16,649,649,501,282,500,502,282,676,282,16,500,800,649,502,500,503,649,16,500,500,502,500,856,123,282,501,649,503,800,502,649,809,107,649,500,500,800,500,158,183,950,800,500,503,503,502,800,502,501,503,502,504,501,649,649,649,800,503,503,503,501,649,503,502,649,649,529,500,503,501,503,503,503,503,16,649,649,4,282,501,502,800,503,67,800,649,502,805,500,649,151,501,16,800,502,504,501,649,500,800,800,503,502,103,649,16,500,500,500,503,282,282,282,800,548,800,697,501,501,282,649,501,500,678,502,103,503,16,503,501,503,501,502,502,501,503,649,649,649,502,501,502,501,500,847,282,500,500,800,501,755,282,502,502,498,16,501,800,503,502,282,503,649,503,503,500,503,800,503,581,649,649,282,502,320,800,501,649,503,503,502,500,500,282,503,592,501,502,282,500,503,800,502,723,500,501,800,500,501,972,503,501,500,500,503,500,107,38,800,800,551,649,282,282,503,545,503,503,282,800,503,800,932,503,341,500,501,282,649,503,718,649,500,282,278,714,800,800,504,78,683,501,649,282,503,500,671,800,282,501,807,503,500,501,500,649,500,503,502,41,807,161,500,503,649,361,800,16,649,502,502,800,649,503,502,649,800,800,282,649,500,649,503,649,502,501,502,800,800,502,501,649,501,500,800,500,649,16,502,145,16,501,649,649,502,503,800,800,500,282,800,501,502,649,503,503,282,501,502,800,282,275,677,500,509,502,503,649,88,501,501,500,501,503,752,500,265,500,800,393,500,502,500,649,502,500,504,800,503,649,502,503,282,500,500,800,503,500,800,502,4,500,501,649,663,500,800,500,282,500,503,830,240,503,282,503,282,382,800,282,516,501,500,689,503,501,503,800,282,282,649,800,501,759,800,800,501,147,800,500,502,503,503,501,800,282,501,500,649,649,503,503,502,649,282,503,503,800,800,649,503,501,16,503,503,503,539,503,424,502,800,504,128,500,503,503,500,649,418,800,501,103,132,16,501,501,500,502,107,502,838,500,649,282,503,500,649,501,500,282,107,924,501,611,501,800,649,16,16,139,282,923,500,838,500,800,649,992,501,800,315,503,800,282,501,503,503,500,501,100,649,503,503,649,502,503,282,502,800,565,503,502,800,67,503,500,501,16,456,649,503,500,800,282,649,108,503,500,501,800,503,649,504,800,16,649,502,503,800,958,501,925,501,500,800,800,503,502,502,649,502,500,500,503,501,503,501,503,500,501,649,649,502,500,16,502,649,501,649,800,502,800,502,503,500,800,500,503,861,503,501,500,649,500,500,649,649,504,845,16,500,282,500,502,502,503,733,503,503,800,502,500,649,500,800,636,500,107,500,502,501,800,500,649,282,545,16,503,103,500,961,649,502,501,252,500,502,501,649,800,334,649,500,16,500,502,800,500,500,368,649,117,500,502,611,502,504,800,416,993,800,649,16,502,800,501,800,500,282,502,800,503,501,504,502,503,500,800,501,649,398,800,502,925,800,503,363,503,761,282,501,500,502,800,502,649,926,800,800,800,800,107,500,501,649,503,222,800,503,501,504,503,137,503,503,503,419,649,502,649,501,649,282,503,282,649,502,502,546,503,503,649,800,502,800,90,502,502,501,282,500,129,282,282,501,500,502,504,697,501,502,282,649,649,649,501,502,501,106,503,502,502,501,501,503,503,501,501,649,649,649,501,503,501,500,502,502,501,500,800,861,500,502,502,76,503,501,649,649,504,800,596,501,502,649,501,840,649,500,469,503,800,503,649,282,501,500,649,352,501,649,649,390,800,502,649,503,500,500,338,81,649,502,649,503,503,501,627,503,16,502,502,282,501,500,649,500,649,282,503,501,800,503,800,655,501,501,800,155,282,649,500,649,501,256,520,503,503,649,503,501,503,800,501,800,503,282,500,800,16,778,800,800,800,502,502,649,800,503,16,503,503,500,282,503,501,500,282,829,800,649,500,502,800,282,800,502,503,502,503,503,501,649,649,649,649,503,647,501,502,502,502,501,282,800,800,800,282,182,504,501,107,501,103,501,282,501,282,500,500,502,649,502,502,800,501,501,500,503,500,503,500,501,504,500,501,350,800,800,500,649,500,649,649,649,800,800,504,500,503,800,500,690,282,503,502,503,800,503,500,502,800,501,501,800,292,649,217,282,502,501,16,966,502,282,503,210,649,790,503,649,500,500,503,500,856,800,800,500,800,649,502,500,503,800,800,500,503,501,800,500,649,503,169,649,282,649,501,800,503,501,501,504,526,501,501,503,501,503,800,282,504,447,501,503,649,282,501,800,800,793,503,16,501,503,649,500,649,649,649,16,501,282,154,649,649,282,705,503,649,800,503,282,282,103,649,502,16,809,800,144,501,332,502,649,140,500,482,465,958,16,16,503,500,502,247,282,928,659,147,502,502,889,503,500,502,503,501,500,649,503,500,649,103,500,282,45,282,866,649,282,502,500,503,282,503,500,622,800,503,500,501,500,503,302,649,223,697,649,503,649,649,800,800,649,500,502,501,800,501,649,800,637,649,481,500,649,502,784,800,800,503,500,503,107,800,800,501,800,501,16,503,501,503,783,649,503,500,503,282,649,16,503,500,500,107,800,502,649,500,503,16,800,502,341,501,503,503,500,502,649,500,800,500,502,503,223,503,501,120,299,503,500,649,500,501,500,504,199,800,500,16,503,502,500,503,501,282,500,503,501,463,501,276,800,502,282,342,649,800,503,500,800,503,501,800,800,502,445,500,502,500,500,800,501,502,282,503,501,868,568,502,218,871,500,649,68,604,501,500,503,282,282,307,800,649,500,282,501,501,103,501,649,504,16,503,910,500,501,502,800,501,926,282,503,649,220,16,500,503,800,502,16,649,501,503,800,502,755,503,503,282,757,826,649,502,282,363,282,800,501,503,501,500,501,502,282,649,800,800,649,77,502,16,800,649,649,649,800,500,800,649,501,282,504,500,502,500,974,800,500,503,501,800,649,503,503,500,501,800,500,649,282,649,501,968,503,800,502,649,503,800,977,500,500,500,501,500,561,503,16,649,161,751,500,800,536,501,800,503,503,800,649,501,501,502,502,800,800,800,503,502,649,800,502,649,944,5,800,800,502,501,984,282,649,800,649,800,501,16,109,800,500,502,649,282,800,282,501,502,649,502,500,804,503,102,501,502,500,502,501,649,6,500,800,16,649,502,887,500,432,282,500,282,649,282,649,282,501,503,649,501,649,218,800,282,503,712,500,16,503,502,649,503,255,16,800,502,500,503,800,282,503,705,800,800,256,800,501,800,504,333,502,503,649,800,800,649,282,502,502,501,800,800,649,330,502,800,800,649,501,282,705,649,725,501,502,501,16,503,501,500,800,502,502,501,502,501,649,277,282,501,503,380,800,500,503,502,649,502,503,504,649,800,502,502,499,282,800,504,500,649,800,839,533,800,501,818,145,649,800,501,800,504,649,503,503,821,649,800,748,503,500,503,502,533,282,649,119,800,800,800,800,282,649,800,501,502,800,501,500,500,500,282,501,16,275,501,91,282,317,107,800,100,500,299,282,503,833,800,500,150,800,502,502,769,805,501,16,503,649,502,471,500,501,501,282,649,800,503,503,501,649,649,503,501,500,500,282,501,248,649,800,503,743,171,501,503,282,321,504,501,501,502,500,501,502,649,649,502,502,502,282,282,502,649,800,282,500,503,800,800,800,20,282,649,800,16,502,502,282,501,500,500,500,282,810,16,503,502,503,520,504,504,501,568,649,501,501,502,649,649,649,502,500,800,282,503,503,501,501,543,510,501,107,501,500,502,502,271,649,501,502,282,282,503,500,649,503,282,501,502,282,502,502,503,868,502,800,649,800,683,501,282,103,649,649,935,501,156,780,503,649,500,649,800,502,501,501,800,847,501,503,500,500,221,800,800,501,649,500,501,500,502,501,16,254,350,895,282,500,503,502,282,16,282,649,501,502,503,501,649,563,503,649,800,800,213,649,91,649,218,501,500,282,649,800,500,502,513,282,649,282,800,502,501,608,12,649,500,800,500,54,800,501,164,500,499,500,500,500,500,800,502,438,500,500,502,502,282,502,649,649,502,503,282,502,649,501,800,501,502,504,782,800,503,16,649,649,649,649,649,503,501,649,503,501,503,800,502,504,800,649,501,649,800,649,501,502,282,649,16,649,439,503,500,501,405,503,500,503,800,270,800,502,504,501,282,63,649,501,307,503,800,107,649,500,502,16,416,500,503,378,401,299,953,502,503,282,503,450,503,501,868,807,503,503,649,649,501,501,501,500,500,800,501,16,800,282,125,282,502,501,649,503,16,501,503,282,504,503,649,500,501,502,16,503,745,103,501,671,502,649,504,500,800,800,503,501,500,649,282,282,649,649,649,502,781,800,649,329,500,501,500,800,282,503,800,282,500,503,352,107,282,229,503,800,800,501,649,649,649,500,282,282,501,502,800,502,352,800,500,915,502,16,632,501,649,502,16,800,501,502,504,502,501,649,503,502,503,16,16,282,502,282,649,501,800,725,649,739,652,649,503,282,705,800,502,800,16,282,502,504,800,649,800,502,500,501,800,147,16,500,649,500,504,213,501,649,282,800,16,282,500,501,282,500,503,649,16,500,649,649,649,32,503,500,502,502,503,502,501,312,500,649,502,501,500,649,800,503,800,800,503,503,282,800,500,501,433,503,800,503,649,501,501,501,500,503,282,500,800,503,503,649,730,282,649,649,16,500,501,500,800,500,502,501,503,649,502,501,619,358,443,800,502,501,500,16,776,503,436,503,800,501,501,649,649,502,504,500,282,502,649,800,503,500,800,16,502,500,81,748,503,502,500,16,649,500,501,101,649,649,800,500,800,503,649,500,649,391,500,800,224,649,503,502,649,800,703,500,649,649,649,800,500,103,800,800,500,16,501,800,800,503,800,501,500,649,503,501,557,501,500,282,503,500,649,501,800,800,501,500,500,502,502,501,502,503,784,800,282,501,282,854,649,503,501,502,502,503,501,282,503,502,502,800,16,501,939,16,503,19,634,937,649,37,502,503,40,16,502,649,638,649,649,502,282,356,800,500,649,502,800,500,649,501,282,502,503,502,502,238,503,500,502,649,800,800,800,103,649,502,800,282,501,501,860,503,103,800,800,806,282,501,500,649,590,32,282,282,500,501,500,282,500,800,132,16,503,502,500,476,502,501,500,501,504,16,5,649,501,16,502,649,503,500,502,500,800,503,649,503,800,501,501,500,500,800,503,649,800,501,500,503,502,502,500,501,503,500,501,833,503,828,16,649,501,649,502,16,16,649,501,500,649,203,502,800,103,500,502,503,504,500,500,282,282,759,800,500,649,504,800,500,500,800,282,282,282,503,502,800,649,501,502,649,282,502,282,501,282,500,649,501,292,500,502,503,500,282,282,501,800,501,409,800,503,282,800,800,502,500,65,800,865,538,282,100,16,502,649,649,503,503,503,502,649,282,500,501,502,502,800,215,502,16,197,800,503,800,502,16,282,501,502,500,800,502,800,649,501,500,800,502,504,502,500,503,800,502,911,800,800,500,501,500,649,163,502,503,503,500,282,731,502,282,800,503,649,502,800,502,500,121,800,500,649,16,800,398,500,502,649,784,800,800,500,594,501,16,649,800,649,503,502,502,501,423,500,503,503,576,503,500,501,649,502,503,800,649,502,502,503,501,649,502,500,500,498,800,800,501,503,282,649,746,800,282,800,502,504,800,649,649,503,16,502,501,502,502,500,800,649,503,501,649,800,16,649,282,500,16,16,182,503,503,503,639,282,282,649,502,800,267,502,649,500,502,522,16,16,500,800,16,503,501,502,800,800,800,501,503,504,649,502,17,800,501,501,800,800,649,503,500,649,649,502,88,500,282,504,416,504,282,156,800,501,800,500,501,190,500,800,501,502,503,649,503,890,649,501,282,501,502,501,500,800,800,649,649,501,501,500,503,503,501,649,649,502,503,501,502,16,501,649,800,502,800,800,282,503,403,500,503,501,503,500,502,107,502,282,500,282,502,800,500,16,107,772,500,503,800,649,282,502,405,500,800,800,282,282,502,776,282,800,503,503,800,103,649,504,500,503,649,502,800,800,649,649,282,649,29,502,649,151,649,800,502,800,501,604,649,503,503,501,503,500,800,502,622,800,800,800,501,501,649,502,649,900,800,649,503,649,502,800,503,573,502,800,577,501,504,501,649,503,970,503,503,649,704,501,502,282,503,626,502,649,502,500,649,16,867,502,753,860,503,500,502,482,503,503,502,649,502,501,502,501,503,501,119,501,617,501,501,503,649,16,282,802,502,800,500,500,500,502,649,504,282,649,282,800,921,502,502,649,501,276,502,500,503,800,503,500,500,501,501,794,800,502,500,500,502,500,282,501,501,500,500,503,649,282,500,282,500,822,500,501,234,500,501,16,502,500,503,263,500,282,922,503,282,897,500,501,610,800,649,501,500,503,503,500,107,503,502,500,800,502,16,800,500,649,501,282,502,500,800,800,502,800,500,413,500,501,800,502,800,649,500,503,503,649,800,649,726,500,500,502,800,500,501,501,503,502,500,500,501,282,501,786,282,501,800,501,502,500,789,503,282,502,502,649,502,649,501,641,504,684,501,502,503,649,502,501,503,500,500,502,500,501,500,649,503,501,500,502,31,502,649,503,503,649,502,800,500,800,503,96,800,501,800,503,504,665,500,502,100,501,501,503,282,501,503,649,503,282,800,800,517,16,502,503,501,38,800,800,503,501,502,800,501,502,503,649,705,504,502,500,502,501,503,800,800,501,500,500,501,501,504,503,596,649,502,503,800,853,800,282,500,501,143,468,533,503,800,500,500,649,501,503,503,649,107,162,501,636,500,503,503,503,503,503,500,926,502,501,649,76,103,500,501,282,282,100,502,374,503,649,503,504,16,164,16,649,800,282,947,649,454,649,503,502,800,501,502,502,501,282,800,800,500,800,581,500,800,500,800,502,396,800,800,649,649,503,800,602,501,500,501,501,503,503,649,649,800,16,282,502,649,783,800,160,960,500,282,282,649,500,508,503,501,502,559,500,502,501,980,503,501,502,501,326,140,800,292,501,504,504,446,800,503,503,872,649,501,503,502,502,800,649,502,502,501,500,500,800,649,649,500,500,800,500,503,800,503,503,500,649,800,501,504,16,503,800,723,501,504,500,16,16,501,500,282,800,501,361,282,503,502,488,107,649,649,626,800,503,503,501,502,649,501,500,649,501,500,503,500,800,800,502,500,503,800,501,613,800,503,501,500,502,282,500,500,649,649,800,800,282,755,282,649,422,800,503,282,501,649,649,800,503,477,649,402,298,800,869,501,503,16,649,649,800,67,500,800,503,503,504,502,501,282,948,16,503,501,649,491,16,503,502,502,501,377,800,800,502,504,800,766,16,501,649,503,800,649,503,649,800,649,500,649,503,502,501,500,501,615,503,622,23,503,714,502,502,416,649,904,500,502,16,649,184,502,800,282,639,501,502,500,501,503,502,502,503,501,500,800,800,413,502,980,800,503,503,649,502,800,800,502,503,473,502,282,378,501,282,800,649,500,857,649,282,16,501,675,501,500,649,502,800,649,649,107,800,500,649,502,500,800,500,500,16,502,501,501,501,502,759,501,501,34,515,282,16,649,800,501,800,500,800,501,501,501,503,16,503,503,503,107,50,502,503,500,502,16,504,501,282,649,649,16,501,800,503,800,502,800,800,503,503,107,800,282,649,501,800,282,800,501,500,282,800,282,502,502,800,800,504,503,500,649,800,107,502,502,649,800,282,649,501,450,282,500,501,502,500,502,63,800,705,649,800,649,649,282,803,649,649,501,649,282,501,501,503,503,501,649,667,800,649,107,800,800,500,800,503,500,800,282,800,503,500,500,943,503,16,504,386,755,502,800,800,800,649,500,282,503,504,649,502,282,401,500,503,503,438,800,649,649,501,16,889,503,503,502,800,501,107,649,649,500,520,502,673,691,16,503,502,503,503,349,502,504,500,501,649,500,502,503,503,500,503,649,504,800,339,502,649,800,500,504,501,501,649,103,346,500,363,500,503,502,292,502,828,282,521,501,503,501,500,735,501,503,503,501,502,800,503,501,500,353,800,649,800,800,800,592,502,282,927,503,501,16,282,501,800,502,16,500,503,16,503,500,503,504,501,502,649,800,800,649,502,800,410,282,500,980,800,503,503,502,500,807,502,502,501,156,503,503,649,501,501,502,500,649,107,502,504,502,501,649,801,800,340,649,503,926,502,800,800,345,649,856,800,501,800,282,792,501,419,503,503,500,649,393,800,800,503,829,347,800,800,282,16,796,501,107,503,502,501,500,911,369,503,649,726,500,16,501,503,502,282,503,501,826,288,502,501,282,205,57,649,800,500,649,282,314,800,502,503,501,503,502,649,503,282,649,502,503,649,502,502,800,649,502,282,649,500,501,503,502,649,649,283,502,16,503,502,649,282,501,503,503,253,282,282,719,649,500,649,500,500,502,500,282,502,247,800,800,649,503,500,500,501,649,502,800,501,450,862,500,800,502,252,502,649,282,501,500,500,800,800,501,503,503,500,649,282,205,282,503,504,500,800,929,800,502,502,502,649,278,503,502,501,800,502,504,503,501,503,800,502,282,107,501,503,463,649,502,502,800,502,800,131,695,501,503,502,343,502,500,502,282,502,502,500,501,649,649,649,649,800,502,300,649,649,649,501,501,800,504,504,500,501,501,501,501,282,503,500,502,125,282,501,504,502,649,649,927,800,500,800,501,502,500,16,500,16,800,503,282,800,800,649,501,503,233,649,502,649,649,16,649,16,503,503,282,770,632,800,501,502,282,502,501,161,502,503,282,649,934,800,282,282,649,500,461,715,800,800,502,503,649,501,927,649,501,500,728,800,756,51,501,800,800,282,107,649,129,504,502,649,649,282,501,501,501,282,478,16,282,500,649,282,502,502,489,504,503,649,800,502,503,503,649,649,500,501,502,500,500,649,502,950,503,649,502,649,502,34,649,16,503,500,503,800,422,649,500,500,501,503,502,881,504,649,500,190,952,926,502,503,800,503,503,282,16,800,800,502,500,500,800,261,500,649,800,503,933,500,501,800,649,649,502,649,649,853,800,949,649,502,5,649,649,502,502,374,800,226,588,800,502,502,818,501,500,502,254,482,500,502,502,649,800,500,282,705,800,649,800,800,800,81,500,500,800,705,502,501,282,502,501,501,503,501,800,282,503,500,649,16,359,816,139,502,800,502,800,70,502,282,649,500,649,502,339,649,649,501,649,649,886,502,310,500,501,649,504,843,649,501,649,649,500,800,500,800,503,963,504,500,500,6,800,501,502,800,502,502,282,503,99,503,649,503,282,501,649,649,503,800,501,702,282,501,649,500,501,282,649,649,282,501,503,503,500,501,649,800,503,649,126,501,503,502,375,501,800,16,502,649,502,649,886,649,800,649,800,500,800,500,500,649,282,503,503,501,800,501,502,352,16,503,502,649,800,501,800,800,293,282,800,800,503,616,489,502,422,500,500,282,975,649,500,500,501,818,503,800,800,649,501,501,16,503,502,649,16,504,800,649,649,16,502,800,500,502,503,503,502,503,503,503,501,282,502,501,649,649,649,502,502,502,107,649,503,74,501,501,502,501,502,800,503,649,282,282,282,503,501,358,502,381,800,282,501,800,502,107,500,649,503,502,503,525,282,270,282,800,503,800,1,282,62,649,501,500,502,800,501,503,928,282,16,649,16,503,502,589,502,282,349,784,800,502,800,504,502,221,16,649,501,500,500,500,500,649,339,132,282,649,800,107,800,503,500,502,503,500,800,500,886,358,161,679,649,720,649,800,107,800,502,125,503,500,800,16,16,500,502,503,800,649,500,282,502,502,810,649,800,500,503,503,800,107,649,282,504,502,501,800,502,503,282,286,503,2,500,501,800,502,501,500,502,800,16,71,649,800,500,501,500,501,800,800,649,282,500,134,649,649,501,649,503,503,282,649,500,626,501,108,800,649,649,107,800,503,800,503,502,501,500,324,800,503,103,503,500,500,211,282,800,500,502,282,502,800,502,502,500,501,503,787,500,501,503,649,147,107,502,812,16,800,800,503,800,175,649,800,503,502,501,800,103,501,16,800,500,502,800,500,282,503,502,649,501,503,503,649,503,800,800,502,649,503,800,500,800,282,500,363,503,500,500,807,282,502,503,649,503,501,649,503,528,502,501,500,503,345,649,800,800,282,16,649,800,649,800,501,800,294,282,667,800,501,501,502,800,502,649,503,501,503,501,503,800,502,503,282,500,800,502,800,501,503,501,800,503,282,502,776,501,649,282,502,718,501,502,800,503,502,501,501,502,612,800,500,649,800,649,501,244,649,500,16,500,503,917,502,691,649,503,501,500,800,800,800,983,282,503,649,800,503,366,502,649,649,500,107,800,500,501,800,800,502,800,282,800,732,103,353,502,500,502,501,500,502,649,44,500,501,504,800,241,501,649,282,504,282,328,448,107,800,800,504,504,500,282,503,282,503,504,502,225,502,320,282,501,16,800,282,92,649,504,800,503,649,503,503,131,107,500,500,129,503,282,501,825,649,503,500,503,502,800,871,649,282,457,502,225,282,501,649,424,502,500,107,501,800,501,500,800,500,649,943,501,649,501,649,800,235,503,282,16,500,649,500,502,500,501,800,20,503,504,501,800,135,501,502,501,800,501,800,502,581,503,502,500,800,500,649,501,503,993,649,16,500,503,501,502,502,800,750,16,649,9,501,251,500,500,800,502,502,800,502,649,502,282,282,502,687,500,649,649,649,649,282,501,660,348,500,501,649,165,800,282,649,649,406,501,504,503,974,15,16,282,43,501,16,503,22,800,913,501,649,503,282,800,26,800,503,503,282,649,649,503,875,502,501,705,388,282,282,502,649,502,500,649,107,503,501,649,16,501,502,503,500,502,501,282,501,282,649,582,649,901,502,649,800,282,649,649,649,649,649,502,500,501,500,500,100,800,800,501,649,282,282,500,16,502,501,107,502,502,16,800,501,503,503,504,638,108,503,807,501,649,502,501,502,500,705,501,503,503,104,502,800,812,503,501,282,502,500,503,501,503,500,502,800,16,501,16,501,282,502,649,649,502,800,649,820,705,503,502,649,800,16,501,649,503,501,695,649,649,500,502,503,649,931,799,502,503,649,500,500,502,502,649,502,649,500,503,501,502,503,886,503,265,911,800,649,503,500,282,501,282,502,682,500,501,649,501,495,282,800,503,649,649,503,800,502,853,501,500,501,504,501,502,649,16,282,649,649,501,16,649,282,649,282,264,800,501,500,500,501,649,649,502,16,503,503,355,800,800,503,501,502,502,503,501,800,800,501,282,500,501,649,503,501,502,503,16,800,16,500,426,501,502,172,649,500,800,500,649,800,800,502,501,503,649,500,501,935,800,16,502,800,500,502,502,500,501,500,107,747,282,503,800,678,649,888,500,500,502,649,649,503,649,501,501,504,501,501,501,503,800,500,501,501,135,649,501,749,502,649,757,800,649,501,649,501,800,282,282,502,502,501,649,634,800,16,807,649,16,649,504,502,501,282,800,16,649,500,504,230,649,649,16,912,649,502,800,501,649,282,299,500,501,500,502,649,800,500,501,503,649,502,800,16,649,649,503,526,16,649,503,800,502,500,649,649,502,800,502,503,480,67,948,313,501,800,503,500,501,800,502,800,196,500,503,501,800,198,502,502,503,501,649,502,502,500,504,800,500,282,649,800,410,503,500,649,503,501,461,800,363,649,500,169,800,800,501,800,800,502,501,502,800,501,16,800,501,503,282,868,60,800,501,334,501,500,503,503,501,800,649,800,502,503,649,502,282,282,503,501,482,282,502,500,502,502,649,501,503,649,536,501,800,800,649,800,500,501,503,800,500,800,215,502,800,500,303,500,501,503,502,649,500,503,16,284,282,103,578,502,800,503,502,800,282,500,649,807,501,103,800,502,793,282,501,501,649,501,502,282,503,502,502,800,504,282,649,500,282,501,501,501,163,282,649,800,501,503,502,500,501,649,649,503,501,597,593,503,800,503,500,501,960,649,282,85,554,500,56,500,501,503,800,16,16,500,503,500,501,649,800,501,501,649,514,503,502,800,649,649,502,501,503,16,282,503,501,501,649,208,800,282,500,649,500,649,16,649,860,502,500,282,502,107,501,501,504,503,282,501,500,649,16,500,800,503,800,800,800,800,165,503,501,282,501,282,800,16,800,649,504,500,503,500,503,800,501,282,500,649,501,502,501,649,501,503,16,649,800,103,282,504,649,500,435,649,502,649,282,800,800,501,649,800,502,302,649,800,503,282,800,649,502,605,500,501,502,500,16,649,107,503,508,502,502,800,500,282,649,37,16,501,501,501,500,500,503,500,500,313,501,57,502,282,500,501,500,800,474,502,800,504,800,500,502,649,502,501,282,800,502,800,500,500,503,503,503,503,502,649,502,922,800,800,503,910,76,502,504,810,502,502,502,206,500,502,228,800,16,501,649,501,500,649,500,650,502,502,501,503,700,501,500,501,503,503,282,500,501,500,500,282,501,282,500,649,502,320,501,800,649,500,649,503,107,800,800,649,500,500,649,883,649,501,800,800,503,16,500,553,500,176,973,282,502,500,649,500,800,500,502,502,800,500,500,800,282,245,800,503,814,501,649,502,501,282,503,649,800,500,502,415,504,800,502,649,69,140,282,504,806,501,502,501,603,503,501,918,800,649,501,282,649,308,800,501,502,503,503,800,502,501,380,848,501,500,503,800,503,500,280,500,800,500,500,649,501,800,504,503,500,649,502,502,16,649,282,800,649,259,772,502,834,800,503,800,500,503,235,800,649,500,649,502,282,503,503,265,282,649,649,502,500,501,864,502,800,500,800,500,501,649,501,649,649,652,504,16,807,503,535,503,800,502,913,501,282,501,800,500,649,503,502,282,502,501,501,501,800,500,742,800,502,649,500,500,800,501,502,107,502,16,501,500,500,500,649,800,503,503,649,500,500,500,649,649,501,503,800,502,501,500,282,800,502,800,503,282,501,500,16,649,880,544,800,259,500,501,800,353,500,501,282,501,129,502,502,502,500,503,649,502,502,501,649,705,501,502,87,500,501,502,800,503,649,39,16,800,649,351,501,881,362,504,500,500,649,800,504,501,16,16,501,502,495,501,502,502,800,800,282,501,500,503,252,800,649,503,16,501,861,503,503,406,649,800,16,649,800,649,503,503,503,500,323,500,500,500,500,503,502,502,500,501,282,129,504,502,500,504,503,800,419,800,501,503,16,502,502,503,615,502,503,800,862,502,649,500,501,312,503,282,502,501,649,501,649,502,501,800,800,34,503,649,282,282,500,282,16,800,649,500,500,501,649,649,800,501,800,649,649,800,649,649,500,800,502,501,282,501,800,503,501,501,649,502,500,501,500,500,501,503,503,503,16,967,800,500,501,649,503,503,501,800,502,649,504,503,76,649,807,282,16,501,800,501,649,502,649,649,503,649,501,500,800,800,658,649,500,800,500,649,503,502,800,800,282,501,649,500,500,525,500,951,800,16,503,500,500,689,502,649,503,237,501,502,500,501,503,501,649,502,142,800,282,649,501,649,800,800,500,800,500,305,800,282,501,149,16,500,800,502,289,503,649,503,503,503,902,103,649,503,800,504,649,503,282,501,501,502,725,649,478,800,107,649,800,501,500,649,520,97,502,504,16,500,800,504,649,502,500,503,501,807,503,649,502,502,236,954,574,355,282,649,500,800,502,324,282,502,322,981,502,500,649,502,282,341,502,800,500,282,800,503,649,800,815,800,624,649,800,501,501,502,800,649,649,502,501,582,649,500,502,500,500,502,711,501,649,938,16,282,800,807,503,795,500,282,503,800,503,83,800,282,649,800,501,649,909,800,500,503,282,501,502,500,649,690,500,502,500,500,500,977,501,649,502,501,800,282,282,604,503,649,501,500,800,500,502,53,503,501,16,921,800,16,649,503,649,107,649,282,649,501,287,501,504,500,649,14,500,800,502,501,249,502,502,504,800,501,502,649,503,282,800,349,282,500,800,500,649,500,501,649,282,501,667,800,501,504,282,649,649,501,500,503,649,800,502,501,282,16,503,502,16,500,649,502,500,501,503,500,501,800,555,649,800,502,649,503,800,500,503,502,282,935,610,501,503,649,107,503,501,500,451,800,807,503,16,927,502,649,15,16,501,800,16,649,501,501,500,424,800,800,800,501,862,705,800,800,282,501,502,502,501,282,649,502,800,800,503,503,120,800,500,501,329,502,503,502,16,800,282,800,800,282,800,107,16,503,501,649,503,800,649,800,443,16,500,649,649,501,800,649,800,649,282,649,800,879,16,248,282,504,649,649,282,935,649,282,500,503,649,282,841,800,800,500,502,502,282,282,800,16,800,800,649,501,901,800,282,504,501,502,501,649,649,568,442,800,503,503,427,649,501,800,649,555,503,16,79,501,107,163,649,503,78,507,282,501,500,800,800,800,504,503,503,501,503,800,649,649,501,501,800,649,502,649,282,503,502,503,503,501,282,502,500,502,502,800,649,502,687,649,500,502,800,394,800,503,800,503,649,503,686,649,800,502,748,649,502,503,800,500,500,502,503,16,500,500,282,500,503,624,501,503,501,282,282,500,500,800,282,502,502,649,503,363,488,16,16,501,800,501,501,66,649,282,914,501,502,800,282,664,591,536,800,501,334,502,282,16,502,502,800,98,282,282,140,107,500,16,800,800,502,36,247,16,502,503,503,500,649,649,325,503,22,649,501,502,282,503,824,71,970,649,500,500,282,502,516,91,501,800,791,501,502,800,16,501,502,649,800,481,282,649,282,859,649,800,10,988,501,547,502,501,363,282,501,649,714,501,500,800,649,504,282,394,503,649,503,503,800,282,649,800,502,500,280,282,795,800,487,501,501,800,89,502,649,502,282,500,501,649,503,503,500,800,103,503,800,502,16,282,649,800,503,282,502,503,503,502,126,500,649,800,502,336,719,500,657,198,557,500,282,500,500,800,502,800,502,501,800,325,500,800,649,649,800,501,269,502,649,501,649,800,503,500,503,501,800,800,800,503,649,501,154,159,800,286,117,501,800,800,16,500,500,501,503,858,501,800,501,500,503,500,649,500,800,282,800,500,800,502,501,62,503,895,502,500,503,962,649,757,649,649,16,800,502,481,503,649,500,800,503,501,649,500,502,800,768,504,502,800,649,208,502,800,503,282,502,501,503,649,800,501,644,500,502,282,500,800,282,800,502,502,502,905,649,800,649,305,16,502,501,501,886,16,649,942,501,501,501,502,502,501,649,501,500,502,503,248,501,632,649,500,800,502,502,503,503,500,500,800,282,501,503,649,502,500,500,502,282,800,501,649,501,16,500,502,282,502,16,800,500,649,502,501,649,932,800,502,502,501,800,500,649,502,649,503,649,502,503,107,800,502,501,502,800,649,501,282,501,500,503,553,501,551,282,812,500,501,282,800,16,74,16,800,107,649,282,500,501,503,649,501,501,502,502,103,871,16,500,500,502,502,649,282,930,800,503,503,649,488,16,503,800,501,649,282,912,503,503,500,273,957,502,800,649,282,649,504,282,119,504,503,504,800,219,500,649,463,800,501,800,364,649,503,500,501,501,282,282,916,206,503,763,502,39,502,800,503,501,442,256,502,16,800,282,504,426,800,649,503,503,503,504,800,503,894,195,503,501,501,501,500,503,502,503,282,501,500,800,502,500,501,800,649,20,501,502,500,107,500,500,800,800,501,502,800,994,649,649,16,677,649,232,503,16,107,800,16,502,107,502,503,800,16,282,282,649,27,503,500,500,502,500,502,649,941,282,800,131,503,502,649,503,502,800,649,503,501,800,800,500,282,649,800,501,500,501,649,282,500,649,649,649,853,500,800,500,503,16,16,649,501,502,800,195,501,386,649,502,103,800,649,503,502,500,282,649,502,800,500,502,503,282,501,500,501,800,501,503,502,649,800,501,948,649,649,649,649,502,649,501,500,640,106,500,502,503,260,501,282,503,649,282,577,503,502,502,282,419,374,501,502,502,500,118,800,500,649,386,649,500,501,502,29,16,800,209,649,282,649,639,503,800,504,16,504,503,501,500,502,502,134,13,649,16,800,649,16,282,504,501,500,800,16,502,282,282,800,501,502,649,800,502,500,503,503,500,501,701,800,649,500,282,800,500,500,501,649,503,501,649,502,630,314,500,800,502,500,503,282,501,502,34,649,500,501,649,500,282,503,589,500,282,649,500,502,501,502,649,500,502,770,553,649,503,107,800,282,503,800,637,800,500,502,503,16,800,500,649,503,649,503,500,503,282,16,748,649,504,282,800,800,649,501,649,800,16,800,502,502,500,282,501,502,502,107,649,622,16,501,503,503,800,800,649,456,502,107,503,800,503,59,500,649,649,649,800,800,503,503,800,502,502,766,500,503,649,501,800,501,502,800,500,649,501,652,500,16,944,282,800,800,503,503,500,800,649,800,502,500,649,691,504,649,503,502,800,282,649,800,16,500,501,502,502,502,800,503,957,501,800,649,501,16,649,800,800,843,502,503,649,500,501,30,502,502,282,502,649,500,800,504,501,503,649,282,500,649,502,16,503,501,800,800,502,161,800,800,649,282,503,260,501,800,800,503,503,500,503,649,649,501,501,502,649,282,500,500,502,504,282,16,502,282,500,282,727,500,244,649,655,100,910,501,649,501,282,503,800,800,216,282,800,800,589,500,800,800,499,504,649,502,649,502,800,503,800,649,502,500,501,800,282,649,649,649,502,503,413,502,649,500,501,482,503,502,503,500,502,16,502,502,354,800,503,501,500,502,500,800,169,500,649,975,800,708,503,501,649,501,503,800,649,502,45,820,500,501,502,500,502,501,500,501,501,800,502,502,159,16,500,501,800,503,649,746,501,496,501,501,649,503,502,503,502,167,500,503,16,500,500,649,501,500,30,800,629,502,649,503,800,502,502,501,800,500,503,649,578,865,500,154,807,800,502,800,103,503,107,275,501,19,501,502,501,501,16,500,800,293,645,500,649,503,649,500,503,282,282,649,502,500,503,282,107,501,575,500,800,501,649,501,282,655,800,503,501,800,500,502,503,16,503,282,932,501,503,649,16,500,502,501,501,500,649,800,501,649,503,800,794,649,16,502,500,501,123,501,291,501,501,502,503,501,500,16,16,959,500,800,500,503,545,501,800,302,500,649,502,502,605,800,483,502,501,102,502,282,930,673,500,800,16,500,282,282,503,649,767,502,800,500,503,502,503,671,500,501,501,16,282,503,502,503,629,500,649,135,800,282,282,871,500,16,503,504,578,896,912,282,800,649,649,491,16,503,503,502,502,16,649,502,500,501,501,568,649,501,319,503,500,500,500,500,595,500,500,500,500,649,502,800,218,503,705,503,501,502,649,500,282,282,649,501,500,649,282,531,16,649,500,500,649,500,649,501,649,502,500,649,649,16,800,500,501,501,16,282,503,875,16,16,501,501,800,501,503,800,501,90,501,500,500,502,502,503,649,504,800,500,501,800,649,501,501,282,649,502,800,800,128,502,501,649,800,649,500,502,502,800,282,500,649,800,502,800,649,800,503,16,649,649,503,500,500,503,282,500,107,500,502,501,649,502,491,800,649,502,504,705,420,501,501,502,502,649,649,503,503,800,800,501,501,500,500,500,502,504,503,649,501,816,501,663,476,800,800,649,649,501,282,282,500,503,504,500,649,800,501,501,503,503,502,800,649,282,503,649,259,500,247,107,800,178,800,501,503,800,504,502,501,502,500,23,282,503,511,282,503,503,383,503,800,247,503,500,503,501,403,503,501,503,503,800,504,502,798,107,800,111,503,985,503,649,501,502,503,502,649,689,282,500,649,103,500,282,800,500,500,501,503,345,649,500,800,501,649,548,649,282,500,503,502,501,649,502,800,503,501,503,504,503,73,450,800,504,649,258,136,500,503,218,990,653,500,282,500,795,500,500,800,501,649,503,503,501,16,800,282,649,500,502,800,500,503,800,282,502,800,500,649,502,947,502,501,501,500,502,500,970,502,800,500,503,502,800,649,503,649,16,500,194,649,649,503,16,649,282,503,282,649,649,800,649,501,800,503,501,649,503,503,649,282,649,501,503,16,649,500,503,649,502,505,500,649,800,501,504,502,500,502,649,800,500,503,800,649,532,355,945,501,325,500,500,503,502,500,500,800,501,502,500,800,697,800,16,112,500,649,649,807,282,500,800,800,807,636,649,282,800,501,282,107,282,649,501,649,800,502,649,800,800,500,501,500,800,503,800,722,503,16,501,282,800,502,800,500,500,500,500,503,282,501,649,500,282,649,649,502,495,924,501,48,649,291,649,282,705,800,500,237,502,500,800,649,502,671,501,503,500,16,503,503,507,500,500,502,800,800,800,501,501,502,500,501,800,265,504,800,16,649,649,501,501,649,503,649,503,503,800,16,501,503,501,800,501,649,500,501,964,500,502,501,500,282,282,800,649,86,129,649,649,649,500,649,566,16,502,16,800,994,501,649,502,500,503,502,501,503,282,503,649,502,649,800,800,649,103,503,649,821,726,501,502,503,503,503,16,800,503,800,500,282,282,501,501,800,282,649,501,649,800,503,501,503,500,502,502,500,500,274,502,503,688,282,649,580,649,800,433,501,502,282,503,588,500,133,503,800,282,800,800,501,740,502,503,500,502,502,501,800,500,649,502,11,908,501,501,500,314,649,500,503,503,500,504,649,800,374,282,599,500,504,501,282,502,649,649,833,800,502,502,501,800,282,502,503,282,502,649,649,16,282,649,756,503,503,649,501,500,800,420,501,502,500,800,502,282,649,302,103,800,649,47,504,501,500,800,398,107,649,501,503,321,842,649,852,501,649,649,501,502,738,501,503,800,503,503,828,500,800,557,113,500,649,800,503,502,503,649,493,503,500,500,516,502,800,503,649,107,16,649,502,501,649,649,500,419,800,503,500,800,500,501,617,503,502,500,16,609,649,103,573,502,502,649,649,503,500,649,501,800,501,500,502,404,649,500,649,503,16,189,800,209,649,649,501,800,282,282,617,649,282,800,500,649,800,500,501,503,500,282,428,503,504,649,107,500,502,649,503,800,282,800,503,503,649,528,500,783,500,282,800,503,800,500,502,282,282,502,649,800,500,502,501,501,502,501,500,501,649,800,502,800,800,501,282,282,800,16,688,500,608,504,800,649,800,503,800,488,223,503,500,502,800,502,500,800,325,501,502,10,500,800,800,666,16,501,503,503,800,502,649,503,504,500,649,800,501,800,500,103,649,504,500,800,398,503,307,853,502,800,500,366,103,502,282,649,501,501,800,502,501,800,502,502,503,502,500,500,649,800,503,800,500,800,501,503,502,501,501,502,649,800,500,649,107,649,649,800,649,500,649,282,501,501,649,501,315,282,107,21,282,800,282,502,503,800,502,503,800,282,501,649,502,501,649,502,237,502,502,502,502,501,500,649,501,649,649,502,464,16,649,800,503,500,282,503,502,800,414,661,649,502,501,500,501,503,800,500,501,502,500,800,800,500,913,502,282,800,502,230,665,500,501,649,337,503,649,800,649,800,649,800,502,800,501,649,649,503,282,800,502,502,503,800,502,500,502,649,103,500,649,16,282,649,468,649,502,411,502,282,503,502,649,800,899,503,649,501,501,282,500,503,16,500,649,282,797,649,58,502,503,800,501,501,649,800,649,500,502,500,649,649,503,282,503,649,501,800,502,282,282,502,500,800,503,500,502,282,502,501,649,502,502,816,503,503,800,282,501,502,649,800,500,500,897,500,500,502,501,800,649,501,352,800,503,387,500,800,503,501,649,502,282,649,649,501,503,502,800,500,503,649,282,500,500,501,501,501,502,649,504,501,501,500,649,800,501,500,503,800,103,800,503,705,500,503,500,800,503,504,800,503,501,500,500,282,16,800,501,504,503,501,566,939,503,800,199,596,502,501,503,649,501,502,800,800,501,800,800,578,800,502,502,581,649,503,800,503,501,502,556,501,649,501,501,649,500,500,503,282,16,503,503,502,503,503,649,282,503,649,501,902,501,649,282,500,501,502,800,502,800,831,500,282,94,500,502,800,502,502,16,501,800,501,197,649,302,500,800,502,502,800,800,501,800,103,503,16,649,800,881,806,184,800,16,16,282,282,501,501,502,504,500,500,113,649,500,800,502,823,502,501,500,649,517,503,500,501,800,282,503,16,503,343,649,502,649,500,649,800,282,591,500,800,775,396,800,502,501,501,800,800,501,649,500,502,503,500,16,282,800,502,649,255,500,800,649,502,800,649,16,282,501,103,502,103,503,502,501,800,800,16,800,800,503,800,224,649,501,649,502,649,502,501,800,277,800,800,501,500,16,649,501,725,502,501,504,58,502,500,282,743,649,502,628,502,282,501,649,284,282,501,501,502,503,649,649,16,501,501,893,593,800,649,502,502,501,501,500,649,503,867,503,503,649,382,500,800,101,500,649,282,649,504,282,503,501,504,800,394,501,649,800,649,501,800,800,522,282,705,649,800,800,649,501,502,503,503,500,502,800,503,800,502,501,168,500,649,501,800,504,502,649,501,193,501,500,501,800,503,503,723,501,282,502,800,500,500,282,800,282,502,800,649,502,503,503,503,649,649,502,282,795,282,16,500,504,501,500,649,502,649,282,649,107,502,503,503,705,16,500,501,503,503,503,501,500,282,282,863,800,504,649,502,964,577,16,282,800,501,800,813,501,282,800,16,500,282,700,500,503,800,649,800,502,919,30,501,800,906,502,502,947,503,800,902,501,502,500,503,501,502,500,800,282,501,881,501,800,501,503,500,501,428,501,501,502,564,501,800,16,504,800,218,501,282,503,235,800,500,503,500,501,499,282,800,16,282,503,501,503,502,503,500,649,503,448,800,649,649,501,502,503,503,501,649,649,503,500,800,503,502,800,502,500,682,457,502,503,282,500,500,649,800,649,501,649,500,649,500,800,76,503,501,16,168,503,502,501,16,501,503,800,282,649,97,501,500,500,503,500,983,649,500,282,649,500,100,29,502,800,500,503,800,501,500,502,282,723,501,500,503,501,503,501,502,16,800,853,502,107,800,500,500,800,800,501,502,800,503,502,500,649,800,500,500,811,502,660,649,503,742,501,503,649,503,200,503,229,500,503,501,502,282,800,500,501,800,503,502,503,502,282,800,501,649,501,501,334,800,228,675,500,500,504,800,282,414,800,500,500,503,282,800,502,503,800,502,800,800,649,502,503,649,16,282,501,103,500,501,503,500,649,502,501,649,501,500,649,649,503,103,282,800,649,502,16,501,500,501,503,502,649,502,676,282,282,649,800,649,504,706,649,649,503,193,649,649,649,500,502,503,800,282,502,800,500,500,502,502,501,263,800,16,624,800,501,500,16,800,282,584,800,501,501,800,16,502,501,800,501,313,282,800,103,501,571,503,502,501,442,502,800,16,649,500,649,800,501,649,16,649,500,649,501,800,800,824,501,800,800,16,107,502,649,501,649,914,502,649,393,969,649,649,503,800,800,649,931,503,800,268,984,649,501,502,800,503,503,503,800,500,503,503,503,16,800,500,282,503,282,500,250,503,501,503,800,649,800,500,254,503,649,502,16,501,649,583,500,503,502,503,503,500,800,503,501,800,649,819,649,649,807,449,649,649,503,800,503,649,503,501,503,503,502,500,649,750,16,503,502,649,282,502,282,800,501,503,649,503,500,649,649,649,800,722,103,800,503,649,503,800,500,649,649,282,800,501,800,649,502,773,503,503,503,649,282,786,502,233,800,502,503,73,16,502,107,502,503,501,971,800,501,649,207,502,713,500,800,503,800,800,503,800,502,384,16,146,800,500,800,503,800,807,649,800,500,500,502,503,503,800,500,500,503,649,501,500,500,649,502,282,501,649,800,502,501,501,502,800,124,800,649,649,800,502,222,886,502,501,649,800,503,282,649,503,924,328,502,502,70,503,503,500,282,955,504,504,503,502,503,727,649,500,282,501,500,522,16,892,502,503,503,503,502,512,649,800,800,502,502,943,501,503,502,500,16,501,25,800,500,649,649,502,16,800,501,503,503,649,107,19,49,800,625,500,501,501,504,503,800,282,503,16,16,501,503,503,800,16,502,16,500,500,501,800,501,282,504,500,500,502,500,16,642,649,800,502,282,501,976,331,500,502,103,501,158,500,649,446,503,500,503,501,503,501,987,503,649,282,502,503,501,502,502,501,502,649,282,501,554,503,500,800,800,500,503,500,649,649,501,501,503,504,800,649,501,282,785,504,501,503,500,721,503,800,503,503,501,649,282,503,800,649,500,649,282,501,800,649,501,649,800,649,320,800,501,502,502,502,503,576,649,438,500,100,503,501,501,500,501,503,501,504,501,503,842,800,649,649,502,500,493,501,500,500,503,501,800,501,800,73,490,500,502,502,500,649,800,800,501,16,649,502,500,501,800,800,282,500,500,649,500,282,800,774,282,282,500,501,502,282,502,282,501,649,502,502,500,501,808,649,501,800,500,559,893,502,649,800,649,800,503,649,800,500,502,502,747,811,503,800,501,649,853,500,500,503,501,501,502,503,649,503,503,501,500,800,501,16,502,501,500,107,503,282,503,800,503,500,500,282,500,501,800,500,503,744,503,501,901,502,577,500,649,661,800,282,501,649,500,800,800,503,282,501,500,800,502,649,503,649,649,649,500,503,500,955,174,501,502,16,501,502,501,415,501,282,546,946,800,492,501,502,502,500,800,800,649,649,649,649,502,503,503,500,649,501,501,502,649,500,375,503,649,502,502,649,318,107,800,800,310,502,282,800,503,501,501,500,504,500,649,649,503,786,22,282,500,502,500,503,979,282,503,800,501,502,501,800,502,501,649,16,500,800,502,500,542,649,438,500,649,649,800,649,502,649,800,649,503,851,419,800,503,282,649,282,503,503,503,16,282,800,649,800,503,496,501,500,500,500,502,504,503,502,268,800,44,800,282,500,649,502,800,500,788,503,649,800,263,800,293,502,649,800,500,502,502,503,141,649,502,995,501,502,501,501,501,934,282,800,649,649,501,501,502,649,800,800,500,503,103,501,649,503,500,649,549,504,16,800,502,501,503,282,503,502,260,282,721,500,800,107,501,282,800,501,649,503,395,800,502,501,835,502,501,121,503,86,502,649,800,649,800,501,800,282,800,502,800,500,282,345,282,646,502,503,501,148,649,800,501,800,502,821,501,282,502,503,649,502,282,800,501,800,800,500,84,705,649,501,500,503,501,501,16,649,136,503,16,649,16,504,502,502,800,800,649,16,503,800,501,605,502,501,107,503,500,800,502,282,649,503,800,500,503,502,501,502,501,215,700,500,502,108,500,500,504,503,502,868,500,502,282,649,649,282,501,649,504,503,503,502,16,503,503,502,502,501,503,16,501,800,800,649,501,518,800,501,948,501,868,503,649,800,282,649,649,649,758,502,502,503,502,800,500,503,501,502,16,502,502,501,502,100,500,502,501,502,282,649,16,500,371,16,502,649,502,649,282,800,502,800,503,649,502,502,501,436,502,503,502,501,503,501,800,800,649,649,502,16,903,100,800,16,500,107,649,500,500,16,502,649,503,501,942,502,503,282,503,504,71,649,649,800,800,282,649,165,107,503,500,502,775,898,501,800,502,282,503,282,500,501,649,500,503,503,800,502,649,502,800,502,649,500,282,501,502,501,500,649,501,800,502,282,16,501,500,649,800,501,107,282,800,500,502,502,502,500,800,501,800,503,503,649,649,501,649,503,910,500,502,800,503,502,649,868,500,649,500,282,500,800,502,485,649,503,500,500,503,800,501,649,16,500,99,500,502,503,502,503,502,500,502,502,366,696,304,649,800,649,501,502,502,800,500,501,103,282,282,500,649,282,212,649,501,502,503,504,501,501,218,501,649,503,800,503,502,500,851,282,282,800,833,800,503,503,502,500,649,501,282,501,649,502,649,501,501,282,649,800,1,590,649,800,107,500,649,649,503,501,503,107,501,800,649,501,649,649,502,500,502,501,500,649,649,649,992,501,705,502,500,282,800,501,649,502,649,501,502,501,649,501,649,501,501,500,649,503,500,503,474,503,502,800,800,472,500,502,282,502,646,502,500,282,503,504,503,800,16,649,502,501,502,500,103,800,800,502,500,500,282,16,500,392,503,906,501,800,503,16,649,197,500,503,501,800,649,501,649,16,501,501,501,649,649,649,282,502,503,500,282,500,649,243,501,16,503,800,501,500,501,800,502,500,500,503,503,282,61,502,566,649,500,103,500,500,503,501,16,502,500,692,500,649,649,500,642,649,502,16,282,218,884,800,502,282,649,501,502,800,502,501,501,500,868,103,500,501,502,649,16,502,800,107,16,502,622,649,500,282,503,503,282,649,187,282,500,502,500,503,500,282,502,649,649,800,649,500,826,800,649,282,962,282,800,229,800,501,501,501,511,500,500,500,500,502,502,800,503,480,800,501,800,649,800,503,501,501,501,503,282,503,649,501,500,800,141,800,502,282,282,501,649,649,243,502,503,649,282,284,107,503,649,800,800,503,416,649,503,500,502,503,16,502,502,502,502,649,502,502,807,502,500,800,500,163,500,501,500,503,502,502,800,800,502,504,502,16,501,502,503,16,282,503,500,800,501,107,800,310,16,282,503,649,503,502,503,502,501,501,502,800,504,502,502,800,501,649,926,800,649,800,16,503,649,501,800,24,800,500,800,500,649,501,800,649,16,503,501,649,800,800,501,502,501,649,500,503,501,502,500,296,500,501,500,628,800,800,501,851,501,501,800,649,502,649,502,502,503,299,501,502,500,879,501,649,503,800,800,800,503,800,831,761,503,502,649,503,649,165,501,282,16,503,282,501,839,800,501,503,503,16,501,500,649,282,268,501,502,649,503,800,503,800,500,649,501,502,800,500,500,932,501,502,403,456,348,500,473,282,800,503,649,500,800,107,500,800,504,744,501,282,800,502,501,282,16,680,500,649,649,501,282,649,500,649,501,503,643,503,649,282,501,501,504,649,503,501,16,649,503,800,503,104,500,16,502,502,503,501,502,649,503,136,649,16,501,503,649,501,501,800,649,800,503,500,500,800,501,501,500,501,500,649,649,500,501,800,502,282,649,502,500,502,16,800,649,500,500,800,169,16,504,107,702,649,800,282,282,395,503,502,705,502,800,501,952,502,503,16,503,503,800,282,800,800,500,503,604,649,282,800,500,501,16,501,502,122,282,500,501,503,503,751,649,649,800,502,501,649,500,502,282,502,649,16,696,16,500,800,800,800,455,503,500,500,502,800,954,800,649,890,500,503,800,984,649,807,649,282,500,282,282,87,800,502,501,282,282,500,279,800,500,649,503,503,500,502,501,502,185,501,800,501,800,500,501,800,501,502,500,503,503,502,649,282,649,501,800,501,502,97,501,500,800,503,649,504,502,16,500,503,183,477,800,500,502,107,800,33,500,282,500,649,800,501,500,502,501,800,16,639,503,103,649,500,819,800,503,282,247,502,800,649,282,503,381,649,501,800,649,501,649,979,16,501,649,501,501,801,500,502,800,501,502,503,282,502,500,800,103,503,502,503,500,282,800,501,502,501,885,800,800,501,800,503,282,649,800,501,500,282,902,516,649,501,107,649,502,500,16,649,500,504,649,800,800,800,139,502,501,793,181,800,800,500,501,502,994,500,500,503,800,500,649,16,502,503,927,371,282,502,385,500,503,501,503,800,500,501,502,800,500,649,101,502,501,800,500,501,503,282,501,501,800,501,649,649,282,503,649,503,649,649,649,500,501,649,800,501,503,282,649,800,282,516,975,502,502,800,800,800,501,61,501,107,501,500,503,800,649,594,800,503,501,642,503,502,503,649,502,503,703,800,503,502,800,500,503,282,800,500,503,500,660,502,501,649,502,800,387,800,16,649,501,282,501,503,800,800,649,502,502,500,649,800,800,501,701,649,488,16,800,649,16,229,800,500,282,800,649,107,503,282,500,282,100,991,502,502,501,800,502,968,282,800,800,502,800,522,501,503,500,503,385,16,502,852,800,502,500,649,502,503,649,235,800,649,500,282,502,649,503,282,502,500,649,501,291,649,800,501,800,500,502,649,501,649,800,500,649,503,549,502,649,502,16,800,282,502,501,680,727,800,504,649,282,559,502,503,649,649,649,282,800,500,503,502,839,649,649,800,500,767,503,16,282,649,282,934,649,478,16,649,282,800,828,503,542,502,501,282,500,501,503,282,502,502,800,504,259,501,649,503,503,500,503,649,879,851,323,502,500,500,503,729,800,500,503,500,501,85,649,500,501,503,800,282,503,503,503,500,500,649,649,649,237,657,501,209,501,501,501,649,800,501,649,800,285,502,649,500,500,500,649,503,502,503,500,504,16,959,502,649,501,503,800,649,501,282,972,800,502,649,500,503,502,16,800,503,800,282,800,503,503,457,501,649,257,649,503,503,649,500,149,649,502,500,649,503,800,501,800,501,800,503,501,800,649,500,502,852,800,500,458,649,213,800,502,500,282,800,502,63,282,649,16,504,502,282,800,502,502,16,479,967,800,500,502,365,500,500,282,800,503,500,649,502,500,800,150,501,800,800,475,500,649,107,501,503,107,282,649,16,800,502,649,503,649,500,820,500,104,502,501,501,501,503,501,594,282,800,800,649,939,503,800,501,500,502,800,503,501,503,501,649,500,82,649,501,503,800,500,502,501,800,282,282,501,502,800,649,502,145,503,823,800,500,649,500,800,501,800,500,501,500,649,502,800,501,676,500,502,282,502,156,282,282,503,585,501,649,800,649,503,502,500,649,800,649,800,504,649,501,800,412,501,649,500,756,502,503,649,502,649,800,649,568,168,502,800,800,501,800,800,500,502,501,649,800,372,800,282,649,238,800,129,282,282,282,503,501,500,649,16,16,282,800,502,501,502,501,16,501,503,403,500,500,502,501,649,502,503,519,503,649,503,500,800,501,501,501,107,501,503,503,282,800,91,500,501,800,409,500,282,800,501,504,503,649,807,501,959,502,800,502,502,500,800,800,690,649,502,800,501,649,649,649,502,649,800,800,504,502,503,503,501,800,501,503,502,503,504,501,800,501,800,16,501,501,649,107,503,501,501,800,649,503,504,500,501,502,583,500,503,120,800,503,502,501,501,649,502,282,107,503,501,503,568,282,141,800,16,16,501,504,500,503,16,503,800,500,649,282,649,502,500,800,500,504,282,800,783,500,500,654,502,282,501,932,649,649,800,16,501,503,282,502,500,503,649,800,649,649,800,987,649,107,360,502,501,800,502,500,501,282,649,503,649,28,502,503,502,503,503,800,500,107,678,503,501,503,501,147,501,800,800,800,501,282,800,153,879,500,500,500,800,504,502,500,503,800,501,649,649,330,503,868,502,831,387,800,502,800,501,562,503,649,282,502,649,501,282,501,822,503,501,649,692,500,811,800,649,503,501,803,504,502,501,16,733,501,931,500,501,502,800,502,501,800,107,501,503,503,501,501,649,500,762,503,503,282,502,503,998,500,500,502,500,800,503,501,649,501,25,995,503,500,503,502,503,433,107,800,16,411,503,501,502,500,500,649,502,503,502,500,649,500,649,800,502,282,502,501,727,503,502,501,800,500,501,649,800,502,66,503,800,800,282,982,502,107,282,501,151,107,800,501,800,503,106,282,800,502,502,800,800,501,800,503,500,649,800,502,800,163,502,501,502,968,800,500,503,842,503,501,649,800,184,501,502,501,502,502,502,649,649,500,501,16,800,649,503,800,800,705,500,503,278,502,16,829,503,503,282,500,29,503,75,807,503,502,623,800,649,502,500,501,501,501,649,500,500,501,500,502,502,649,502,649,16,800,282,502,501,844,282,500,503,135,312,502,501,501,501,500,800,16,800,649,501,800,16,282,501,649,500,103,500,538,500,502,504,800,800,501,502,502,800,282,649,800,500,282,501,800,800,503,501,502,282,482,649,49,800,503,720,649,500,282,501,500,282,648,282,800,784,972,501,503,800,800,612,502,503,649,501,282,649,885,503,479,501,502,345,800,500,16,501,402,500,800,500,649,501,501,501,502,501,16,916,502,503,503,649,501,16,800,800,282,800,500,500,501,649,800,500,649,501,503,501,324,282,500,501,502,649,502,649,501,501,282,16,16,502,16,718,501,490,930,502,282,55,500,125,503,500,503,350,503,789,503,502,504,502,500,322,502,501,503,672,443,16,504,282,502,502,800,500,503,500,649,503,282,501,502,500,501,649,500,503,500,16,502,503,500,500,502,805,282,649,649,500,502,282,501,500,16,549,800,502,800,800,800,503,979,649,502,503,502,503,501,800,500,500,763,800,501,16,500,962,502,502,16,649,649,590,800,503,16,207,501,800,501,649,501,649,282,503,504,585,500,502,502,502,96,800,500,503,503,502,444,649,503,800,282,502,500,503,502,503,502,504,500,500,503,501,420,649,282,501,500,500,500,203,282,800,501,501,282,502,16,126,501,282,500,501,501,800,502,503,565,503,502,502,16,501,503,649,16,503,501,282,503,606,503,502,500,500,282,501,649,501,501,287,282,503,503,16,107,282,502,282,500,502,75,503,500,743,502,501,282,500,502,16,500,502,500,502,16,500,502,500,501,503,503,800,16,16,503,800,485,282,282,502,649,503,502,500,503,501,501,501,649,502,282,649,649,649,502,800,501,502,500,800,502,135,501,103,793,500,500,500,649,207,800,502,478,503,912,282,501,361,649,800,500,16,503,843,503,16,649,282,501,737,649,500,869,500,502,500,504,502,500,502,503,144,501,500,649,649,502,500,282,800,649,500,800,500,500,500,616,503,502,16,501,282,500,800,787,501,500,282,800,503,282,600,501,256,800,107,705,282,649,103,16,501,500,503,503,503,504,500,35,683,501,800,500,504,800,649,282,503,500,328,649,500,800,649,500,501,649,649,800,379,500,282,501,649,747,649,500,800,500,503,502,503,800,503,800,649,800,501,3,282,500,503,503,502,649,502,503,503,503,500,503,649,501,282,579,501,800,185,501,208,500,503,501,502,800,500,500,501,800,649,671,800,503,37,502,500,649,504,149,500,500,503,418,503,501,500,800,502,501,503,67,501,503,800,649,501,501,500,500,501,413,501,318,800,500,501,504,800,501,649,620,501,800,705,501,649,500,800,502,649,649,503,501,800,800,500,800,282,502,502,503,800,500,502,800,649,649,800,503,800,503,502,503,800,503,501,800,502,800,500,758,503,501,503,282,502,500,282,66,500,282,501,649,500,25,501,800,501,502,649,800,502,649,501,800,500,362,438,800,706,806,503,503,501,501,800,649,503,503,649,64,649,500,500,751,503,502,800,502,500,16,502,694,800,304,800,501,649,649,503,502,504,396,501,282,503,500,503,502,800,649,503,500,604,649,500,800,36,500,333,562,800,800,502,649,503,502,282,649,502,649,649,501,502,501,502,160,501,282,157,649,500,504,503,950,503,577,720,649,282,502,649,649,500,800,482,16,800,503,503,504,103,262,502,503,425,502,500,800,800,542,503,500,574,649,502,707,501,503,503,502,500,500,282,764,107,800,1000,908,649,501,282,500,503,800,501,649,16,500,649,326,501,800,282,800,501,503,503,501,503,649,649,649,800,528,503,800,502,649,649,857,649,800,649,649,500,193,649,501,501,107,501,649,707,649,282,501,501,649,502,502,649,503,282,500,500,649,649,501,501,503,502,502,36,649,649,500,807,504,501,800,500,800,649,282,501,503,503,501,799,649,649,603,503,500,800,503,500,503,500,502,649,501,500,500,649,800,649,649,504,895,649,477,16,949,503,800,282,502,502,502,500,282,502,502,502,800,16,503,500,309,571,649,649,502,649,16,500,649,282,501,503,800,500,800,282,500,503,503,500,502,503,500,833,16,503,503,500,649,800,501,501,649,503,649,500,800,16,502,503,766,649,488,282,800,503,398,649,800,800,501,282,500,954,786,304,500,502,282,501,649,370,282,503,502,649,502,500,649,649,500,618,126,800,800,500,649,501,800,649,503,649,649,649,500,89,502,504,500,503,500,502,282,417,502,503,200,504,997,500,500,649,500,800,539,282,500,800,800,800,282,502,796,649,649,503,649,474,649,500,649,66,895,500,500,103,503,282,649,501,504,501,502,500,501,501,503,501,500,705,800,500,649,503,500,736,800,800,501,282,800,501,285,501,440,503,500,438,500,500,800,501,800,500,282,282,503,501,748,16,800,500,501,504,800,501,800,649,238,434,500,500,502,502,500,403,503,501,1,500,502,800,470,875,502,503,503,500,16,500,500,501,649,184,649,501,500,649,504,503,282,649,201,503,800,126,502,503,449,504,800,501,649,282,800,800,800,501,502,282,649,500,503,800,282,500,501,502,282,501,141,503,282,995,501,502,327,394,649,800,800,649,282,657,503,502,502,501,16,800,945,501,951,282,282,716,800,285,649,649,649,649,800,502,676,182,501,605,834,503,503,800,502,132,649,502,502,501,502,723,67,942,649,503,800,503,800,501,501,800,890,282,503,501,500,437,800,504,543,500,649,503,503,502,800,497,649,503,502,500,800,800,16,649,768,502,502,503,500,282,70,282,649,59,428,500,944,800,649,800,500,649,282,536,500,649,500,503,501,501,501,649,649,502,53,858,649,503,503,501,577,503,501,156,502,393,649,800,502,800,101,502,649,649,503,173,649,750,800,611,502,502,502,800,502,760,503,500,503,502,282,800,107,800,503,649,501,800,691,500,344,501,800,501,503,800,282,500,16,501,501,500,649,500,500,800,107,503,649,501,501,500,894,800,649,621,649,649,669,500,800,412,503,482,282,502,654,103,502,502,503,502,504,501,800,502,800,502,500,83,500,500,502,502,503,926,649,649,502,503,649,414,501,500,502,502,649,649,500,503,501,282,16,503,503,482,502,649,501,500,501,223,282,503,503,800,649,503,501,817,500,800,800,500,500,649,103,502,649,282,501,445,63,500,649,748,282,800,800,502,502,800,502,282,500,503,854,503,649,500,800,502,16,800,502,502,501,800,800,501,198,500,649,500,501,502,800,649,800,708,502,149,800,16,282,649,347,649,282,500,800,525,282,501,502,501,502,876,502,649,649,502,501,501,500,503,500,649,502,800,503,649,503,807,649,501,282,800,504,500,502,502,500,800,649,800,501,502,504,503,705,502,800,501,502,943,800,800,503,800,502,500,501,649,800,501,16,500,800,503,500,649,503,698,502,800,649,628,649,282,256,503,263,504,500,932,886,501,501,800,500,649,503,26,501,500,502,282,503,282,502,800,807,501,897,500,502,107,841,503,501,501,649,16,800,282,649,800,500,649,647,500,502,16,800,502,800,501,503,502,878,499,800,503,701,501,503,502,501,649,649,56,503,500,28,504,502,500,649,649,501,649,504,112,502,649,501,649,503,649,501,501,216,815,270,503,503,501,282,89,649,502,501,618,502,127,352,282,501,502,649,282,649,800,503,500,503,800,732,800,800,883,501,501,503,502,649,800,649,502,649,503,500,649,503,500,500,503,500,666,503,502,103,649,500,501,501,503,800,502,501,500,500,16,500,665,779,649,503,16,503,502,867,503,500,500,503,503,649,973,800,800,500,16,503,501,800,503,500,503,800,282,502,282,282,649,800,360,503,800,503,500,649,500,634,649,103,649,800,502,649,282,500,641,503,503,800,649,501,783,503,282,501,503,649,800,649,500,800,650,503,649,502,503,649,224,500,800,502,16,500,500,800,501,649,502,800,500,502,501,800,500,775,503,502,500,851,431,500,504,501,503,800,800,503,16,502,500,415,14,649,501,501,501,501,48,501,501,92,800,99,502,800,16,649,649,503,504,501,282,720,501,282,282,501,37,501,530,500,649,363,800,800,649,19,934,800,500,501,500,503,16,500,276,800,586,500,500,504,649,503,502,502,501,500,502,460,800,503,502,16,164,500,501,649,800,820,649,649,800,835,795,800,501,501,809,107,282,16,501,501,649,500,502,500,504,144,800,513,282,503,500,501,503,800,175,502,800,500,501,16,502,503,800,500,500,282,649,649,800,957,503,502,502,800,501,503,1,282,831,282,251,504,502,501,501,800,503,449,649,800,501,501,649,800,501,570,503,649,649,800,503,503,503,502,301,501,800,800,800,502,649,500,649,800,501,500,800,649,500,501,800,282,282,500,500,500,500,927,649,649,889,500,78,502,502,503,393,649,502,503,500,840,500,830,503,800,500,501,38,501,501,800,503,704,502,649,500,500,503,800,501,800,500,503,501,899,800,649,503,500,800,501,800,501,649,649,503,800,16,503,649,502,943,800,501,502,649,503,504,649,282,500,103,501,800,502,501,282,741,501,800,649,649,501,500,502,183,503,807,790,502,500,649,501,503,502,503,501,500,800,501,649,954,282,707,796,410,800,117,16,502,502,837,502,502,649,282,649,800,800,503,649,800,784,800,502,503,503,502,800,500,649,500,503,649,502,16,502,500,282,503,500,500,504,503,500,503,502,800,800,853,825,503,308,374,88,502,502,649,502,186,282,20,502,503,501,501,501,503,282,500,503,649,282,40,502,501,502,649,503,800,649,500,368,504,800,500,282,800,500,862,282,282,503,500,500,502,501,500,800,501,500,502,503,501,282,501,649,649,690,231,502,501,282,282,800,490,503,502,503,649,649,504,800,503,501,649,800,800,501,649,515,500,282,855,282,649,503,500,103,800,500,502,800,693,649,328,501,16,501,504,800,498,502,501,501,649,501,920,649,502,503,800,501,501,503,649,683,500,503,500,649,833,501,800,500,800,649,653,503,394,649,500,875,16,379,502,500,501,502,502,649,800,282,649,500,800,649,282,502,504,501,649,669,800,501,282,500,649,282,783,180,800,800,16,503,800,738,503,503,649,502,501,649,800,503,503,282,503,282,23,649,800,107,16,502,16,367,503,502,800,502,800,500,185,501,504,501,361,500,800,503,544,649,282,504,16,500,282,800,649,720,115,649,649,504,800,649,649,649,800,501,501,957,649,649,503,502,649,649,800,503,501,503,16,800,502,282,502,501,800,16,500,649,503,502,282,466,500,500,649,649,800,705,503,500,91,800,981,501,649,649,501,500,501,649,16,502,501,6,502,800,502,781,500,503,649,800,500,649,503,501,500,800,500,800,501,503,649,502,800,503,282,800,800,800,649,649,800,800,649,500,424,16,501,501,501,502,800,595,16,500,589,24,800,800,502,501,800,800,503,649,649,758,504,503,800,649,501,503,800,501,930,51,994,502,500,649,199,649,649,501,500,503,739,8,503,901,500,501,500,501,501,16,649,503,502,503,866,800,502,764,282,380,422,502,74,649,503,501,502,385,800,503,501,500,501,800,649,501,500,503,649,502,503,501,500,800,649,800,500,336,649,649,502,500,649,501,500,800,502,503,773,800,384,419,800,442,649,500,500,501,502,503,649,103,500,649,503,282,75,800,614,500,197,500,500,500,502,649,649,800,613,500,508,500,800,502,501,504,503,500,800,649,800,501,501,503,643,500,502,800,649,501,800,749,502,504,502,501,800,16,503,501,282,800,503,926,800,500,282,502,649,501,501,705,503,502,649,800,502,380,501,502,16,501,502,503,500,994,504,763,500,298,501,501,800,501,16,503,16,16,501,59,501,500,800,785,649,500,282,501,500,500,503,500,500,503,504,502,500,503,649,649,649,501,503,502,800,649,649,501,649,500,503,500,401,502,282,502,500,500,503,501,503,325,800,503,800,931,502,649,502,501,500,800,800,502,500,500,500,649,800,500,923,282,800,500,500,649,503,504,501,282,500,649,800,649,502,649,503,800,800,649,501,503,649,502,500,503,800,282,501,800,502,274,500,502,502,500,501,282,323,16,649,422,501,501,500,649,649,500,503,501,501,503,32,500,500,800,258,386,500,282,501,127,502,500,501,16,501,502,500,336,649,503,282,500,282,500,800,16,501,649,800,502,649,800,501,913,938,282,282,107,500,501,800,502,800,649,503,649,500,503,751,504,800,503,503,649,502,649,327,500,503,501,16,503,649,800,800,500,800,668,591,16,800,649,500,103,502,502,649,500,500,503,16,649,503,503,501,501,800,503,500,649,501,500,649,502,2,649,501,800,412,503,502,800,503,502,504,204,689,16,257,501,649,351,785,282,448,537,649,503,502,502,988,285,500,501,800,882,649,502,502,616,500,800,649,649,282,800,503,800,502,501,501,503,500,122,502,465,800,503,649,500,800,503,825,502,500,502,800,933,501,800,500,501,503,503,503,282,500,502,769,800,503,501,502,649,649,800,649,103,502,501,500,503,649,503,501,501,649,344,863,649,500,282,649,16,502,500,647,649,503,649,16,500,501,503,800,500,503,500,502,502,649,16,800,800,500,501,501,16,502,499,711,503,605,649,501,861,502,501,282,501,649,501,500,503,107,800,503,649,500,800,502,16,800,800,507,502,504,501,800,800,502,503,501,501,16,503,351,800,649,107,282,282,490,501,502,502,965,503,502,503,503,501,502,501,800,649,654,500,500,604,503,669,503,503,649,229,100,800,800,800,504,503,282,502,501,243,501,282,500,282,500,500,649,649,500,500,502,800,800,503,501,503,252,16,503,582,501,503,282,500,502,282,981,800,649,800,652,282,420,777,282,800,702,503,501,16,501,609,282,207,800,502,500,649,501,580,800,800,503,501,501,500,500,503,501,501,502,500,503,503,800,503,503,500,503,503,502,501,16,504,501,16,649,502,500,502,501,497,649,800,282,500,422,503,282,800,282,501,502,685,649,604,182,502,500,316,500,649,800,649,562,800,800,800,649,800,649,503,500,649,504,800,800,649,457,500,501,500,503,282,504,807,649,502,908,282,799,800,649,502,800,103,503,841,649,649,501,503,800,501,503,502,649,503,16,800,800,500,282,971,503,353,503,800,503,501,503,800,800,503,800,800,800,282,53,500,800,501,800,961,649,501,502,649,649,500,716,55,649,503,282,502,16,500,727,501,411,503,800,649,282,800,81,800,500,800,502,282,491,503,500,501,800,968,282,503,396,501,502,649,807,500,716,800,503,800,500,800,103,500,649,659,607,502,389,614,800,792,649,649,649,503,500,253,502,502,503,500,502,16,501,800,282,501,649,84,502,501,500,649,503,502,503,500,417,503,503,502,519,500,503,518,502,503,856,799,502,502,282,501,502,500,501,501,649,503,500,502,501,649,107,807,501,501,501,855,649,282,526,649,501,649,501,16,503,649,649,500,800,502,649,502,501,500,589,501,649,800,500,16,503,812,702,503,504,501,501,800,649,649,501,800,503,501,555,503,500,501,928,649,649,649,800,282,501,500,500,500,649,502,500,800,502,501,500,500,754,16,501,800,16,503,800,282,500,649,649,16,16,649,501,402,273,503,500,530,649,502,501,218,500,800,103,501,649,501,501,500,501,501,800,800,921,845,501,649,800,100,16,649,103,282,500,500,96,282,551,649,500,501,800,800,502,500,504,501,800,501,502,502,649,503,649,800,500,500,282,501,649,503,503,503,16,649,800,500,504,800,800,500,501,337,501,649,501,500,502,984,502,503,800,501,16,800,282,649,494,800,649,502,501,501,502,282,502,282,503,649,282,502,577,502,502,500,16,501,500,503,502,800,502,282,500,502,503,800,649,503,800,501,282,649,501,500,502,500,500,838,800,505,503,503,502,500,502,501,16,500,503,503,649,672,500,103,649,500,800,501,649,858,503,800,282,282,649,282,502,318,504,800,282,503,649,16,649,500,628,800,37,282,103,282,800,502,500,502,500,649,307,874,781,502,502,503,501,500,800,502,649,502,503,829,500,501,503,33,649,800,501,282,502,502,500,282,658,500,752,800,800,502,717,934,282,500,584,649,502,503,649,503,649,649,800,649,502,502,500,502,413,501,351,500,500,500,107,649,501,100,502,649,500,800,399,500,800,649,500,501,800,501,502,282,649,502,500,282,501,500,500,500,784,649,886,503,282,503,107,800,16,501,545,503,447,503,649,500,800,501,501,800,649,502,501,649,502,504,800,503,649,800,502,16,265,500,500,649,571,16,989,649,502,800,503,502,501,649,649,800,500,500,16,649,282,500,511,649,16,503,668,805,107,502,503,501,649,504,500,728,500,532,501,501,16,502,349,501,503,16,28,858,649,649,800,503,800,282,501,500,221,501,282,500,501,502,501,502,500,503,800,468,500,16,503,503,998,800,759,995,500,502,504,501,649,502,282,501,649,501,800,243,16,282,704,16,500,501,800,649,502,503,502,649,501,503,502,106,503,564,502,649,649,649,649,282,649,502,649,502,649,278,282,503,501,800,800,282,800,800,502,806,16,503,800,649,649,678,501,502,502,649,502,649,501,503,800,550,501,504,649,649,649,837,800,800,502,504,503,500,503,649,501,501,800,503,500,502,222,501,501,649,503,282,500,501,502,282,282,500,503,503,160,503,649,502,500,800,502,501,503,503,500,503,282,684,500,503,800,502,800,649,649,883,501,800,282,503,103,800,500,760,503,282,503,649,649,282,800,501,16,500,282,649,500,898,503,500,282,503,501,501,482,500,282,51,501,503,1,502,649,501,503,501,502,500,521,800,584,500,282,800,649,503,282,649,502,800,649,501,800,502,502,282,502,500,500,503,104,161,282,551,501,107,504,800,502,501,503,500,800,649,602,501,502,173,649,504,501,649,282,800,504,800,501,501,800,504,502,800,502,501,990,649,649,649,500,759,800,503,282,278,501,501,649,649,501,649,170,804,766,649,500,500,649,282,502,503,502,500,395,501,504,502,282,503,503,800,103,649,502,503,649,800,503,649,503,820,649,503,501,282,218,82,503,503,503,500,649,16,16,800,501,503,501,503,800,494,330,502,16,800,501,501,502,649,7,284,649,649,502,649,500,701,351,500,16,501,502,800,501,503,490,503,103,800,502,502,500,500,800,800,503,649,800,500,997,800,877,800,501,500,800,501,503,800,502,500,502,478,501,503,502,800,503,504,504,103,649,502,282,503,500,502,374,649,500,501,500,260,818,500,502,501,413,649,800,649,800,800,501,800,800,502,502,501,800,649,649,282,282,500,500,649,642,800,501,500,649,501,800,316,501,500,800,649,502,588,649,800,500,649,649,800,282,502,360,503,649,649,500,500,503,16,800,649,282,800,742,776,502,800,282,502,502,501,649,503,800,800,502,800,502,500,16,649,501,800,500,500,800,668,502,500,282,649,502,502,501,503,503,501,282,501,552,649,638,502,800,503,766,501,800,649,501,649,565,503,501,501,282,282,220,500,502,649,335,800,500,682,503,282,501,107,800,500,500,649,333,501,680,502,649,107,500,500,800,596,800,501,771,499,500,282,482,649,503,786,800,503,500,800,501,501,282,500,649,335,666,800,500,123,780,500,649,649,282,503,282,649,504,500,800,500,503,504,502,503,800,503,282,649,504,502,504,278,649,649,500,282,800,500,503,649,503,501,800,503,500,800,649,502,800,649,282,503,800,501,502,107,16,500,800,649,502,282,501,502,282,16,800,500,501,107,16,649,502,502,500,800,920,503,503,500,800,501,800,800,502,649,502,500,649,503,282,649,503,649,800,649,503,649,503,800,501,800,500,503,649,16,500,649,103,800,501,649,500,53,649,500,503,503,800,800,500,800,800,649,807,649,282,502,649,406,800,502,501,500,800,503,649,800,502,501,500,503,649,924,800,501,500,502,501,972,649,503,800,282,649,501,282,501,310,800,502,800,282,502,800,500,501,800,502,16,502,282,16,978,500,501,800,501,971,501,501,214,500,502,501,501,800,503,501,771,398,800,800,800,282,502,800,649,500,282,544,800,800,500,503,500,649,649,956,502,502,500,800,502,800,501,16,503,503,502,800,222,649,705,300,800,330,500,800,503,501,503,500,800,282,773,800,126,16,649,649,501,282,19,800,503,500,649,801,501,800,16,800,502,800,503,224,282,282,503,500,649,503,282,503,649,649,800,282,501,503,500,800,800,649,500,501,16,282,800,501,282,800,282,680,503,282,994,800,649,649,800,502,501,502,649,503,649,751,502,855,16,500,500,504,107,500,649,503,501,501,500,503,860,503,282,501,502,649,500,800,502,100,16,649,500,500,501,503,501,503,501,649,966,800,500,503,500,502,282,282,649,502,501,649,800,800,282,107,107,800,800,649,503,618,649,282,503,71,649,800,503,504,503,16,502,502,148,502,503,505,503,500,650,501,502,500,503,103,649,502,569,16,800,649,16,649,107,502,501,282,343,501,503,649,800,502,649,649,931,800,504,282,649,500,502,500,502,502,501,500,502,500,398,800,502,649,649,649,800,991,282,502,555,500,800,503,377,503,800,501,503,282,649,689,800,500,907,800,501,649,501,503,800,282,649,800,107,282,500,502,500,500,282,503,503,800,16,800,502,16,649,503,800,501,887,800,395,800,282,903,800,800,279,501,649,535,503,487,194,103,500,690,502,800,503,961,103,800,800,500,16,800,800,282,503,501,800,502,282,502,282,282,649,500,282,781,800,500,103,679,500,16,776,800,503,457,800,500,193,649,82,500,501,377,649,500,800,271,503,800,500,500,16,649,502,501,500,800,504,282,649,321,47,503,504,501,382,503,800,765,502,800,649,502,503,596,800,500,503,282,503,649,756,503,502,503,649,649,649,800,500,16,502,800,502,503,503,501,907,502,500,500,500,16,501,282,503,649,282,502,503,503,502,500,861,40,800,649,107,503,502,800,800,649,649,800,503,500,800,500,503,282,441,500,501,588,800,500,649,649,500,503,800,502,649,800,502,800,800,501,107,500,649,649,155,800,501,500,649,502,800,500,800,501,282,503,502,497,500,649,501,500,502,649,504,502,503,800,503,503,365,282,503,502,502,503,994,893,503,800,800,503,500,501,154,599,500,503,504,16,16,501,502,501,138,501,502,503,503,503,500,503,877,649,843,16,800,800,282,500,503,649,800,800,800,649,503,800,475,649,502,502,800,500,16,800,282,502,503,502,501,500,800,16,807,500,282,500,500,649,649,891,500,282,502,500,502,504,503,502,500,501,503,500,722,500,500,800,649,800,503,800,502,502,800,649,500,649,503,282,500,800,800,282,500,501,492,503,800,649,188,502,649,800,282,800,649,501,649,502,649,649,501,282,500,502,282,800,282,880,356,500,800,800,500,176,800,282,504,501,500,338,16,800,502,800,266,501,282,501,800,500,649,282,501,500,282,107,16,16,649,282,800,502,800,800,103,502,800,800,500,649,16,500,649,502,396,501,800,502,500,150,282,570,502,282,502,649,504,501,649,16,634,503,800,107,501,503,800,500,502,501,409,501,502,503,503,503,502,649,308,649,502,649,503,503,16,649,502,16,649,500,649,501,397,800,800,16,502,161,16,800,16,501,800,225,16,800,516,501,502,500,500,500,500,501,800,500,502,640,504,282,503,502,501,649,800,649,503,800,800,501,500,282,800,500,502,649,649,174,503,502,649,649,800,500,501,502,649,509,282,309,962,649,503,649,800,502,282,501,649,649,503,501,133,501,282,501,500,501,501,501,504,649,500,322,501,252,705,16,16,501,502,500,73,501,16,649,500,107,649,800,800,252,502,800,800,502,501,500,649,280,282,501,503,442,503,503,503,503,800,260,500,501,609,501,503,502,103,500,955,502,974,16,503,167,999,503,502,500,282,649,649,500,800,282,641,649,800,502,649,503,500,800,503,501,232,629,500,504,501,649,500,503,501,503,502,136,502,800,800,500,501,502,503,800,800,16,649,800,503,649,504,501,228,107,282,800,502,501,649,282,501,683,500,500,282,282,503,500,502,800,282,649,502,503,649,501,282,501,282,649,500,502,520,501,906,502,501,772,649,638,503,504,649,502,282,800,649,503,282,75,502,504,500,800,800,691,937,500,127,642,501,502,503,800,361,502,422,500,501,649,800,649,620,525,503,800,4,800,500,649,545,500,649,503,800,530,503,503,800,282,500,800,282,503,501,649,500,966,800,503,649,74,500,741,649,282,501,502,649,503,500,344,438,502,800,503,500,649,649,392,649,500,649,501,649,500,282,800,500,502,358,500,800,649,524,500,502,502,800,800,502,16,503,800,503,649,282,800,502,800,649,16,500,286,504,502,501,503,800,16,501,501,800,500,502,503,503,503,503,16,283,800,501,800,500,501,394,16,503,16,671,800,501,800,649,800,503,502,107,500,501,500,649,282,501,282,335,502,800,257,800,649,649,503,800,649,503,188,649,607,800,282,502,649,237,282,500,500,500,103,282,500,500,800,16,500,501,502,503,511,530,502,649,649,501,502,110,649,500,959,994,502,64,503,800,482,649,649,800,503,501,504,503,502,501,282,800,500,500,649,803,769,500,502,502,502,649,504,282,500,16,800,800,800,502,282,649,784,649,282,502,502,500,500,501,282,800,778,503,392,500,800,501,503,500,649,502,500,503,500,500,501,649,504,282,502,500,503,502,502,14,649,107,705,501,800,501,649,502,16,503,500,649,107,649,649,504,500,503,675,503,503,500,800,500,503,282,282,70,502,16,282,500,800,282,503,649,501,502,649,501,501,500,500,16,503,282,500,16,500,74,800,282,196,800,800,502,649,282,282,816,501,197,800,504,502,501,502,501,800,16,500,800,500,53,501,503,500,989,502,500,503,503,330,800,501,407,503,800,500,282,800,282,500,500,500,501,649,500,427,594,503,602,800,500,800,649,500,503,800,16,451,503,800,282,649,501,649,282,649,501,282,502,282,501,501,504,649,649,16,649,503,649,22,500,502,16,503,500,282,800,500,500,195,649,800,612,649,16,649,282,732,800,800,500,649,800,501,107,614,502,800,500,649,501,500,800,502,343,649,800,282,502,502,649,503,502,502,282,501,282,501,966,649,16,565,649,500,800,800,282,649,503,503,501,800,800,324,16,649,503,503,501,649,501,649,649,107,501,503,649,282,500,80,800,536,792,753,502,500,649,649,12,501,649,502,503,173,911,503,282,503,800,800,800,500,504,503,16,282,800,500,500,282,500,502,500,800,334,500,86,983,649,649,503,500,501,502,16,503,502,171,501,501,503,800,501,500,500,501,503,649,502,503,500,500,503,500,503,16,500,500,649,30,502,800,649,501,649,282,649,208,501,500,844,501,800,501,800,502,500,500,282,500,16,500,502,502,16,649,800,282,733,502,503,800,181,501,502,282,502,282,649,503,800,501,282,613,503,800,500,995,500,282,501,500,278,264,501,649,282,503,500,800,800,501,500,500,800,649,501,500,502,763,107,501,502,967,282,649,504,807,501,649,800,16,534,502,649,800,502,504,649,800,800,503,800,502,502,800,500,800,504,800,800,502,503,103,503,500,500,781,800,500,500,16,800,500,500,291,856,503,67,516,242,502,800,800,579,282,502,282,649,503,649,501,649,16,649,224,502,500,329,800,501,649,501,501,637,928,282,501,501,501,502,503,503,282,747,800,502,282,800,500,503,16,500,478,502,500,502,649,503,866,800,649,800,282,282,83,501,501,500,649,649,282,421,500,501,502,503,501,503,555,800,16,502,649,503,800,178,503,500,503,502,504,649,282,503,501,501,503,800,501,501,649,500,800,502,501,503,472,501,501,503,282,501,282,501,501,504,16,256,649,500,502,502,649,500,282,649,800,503,497,501,649,501,500,501,649,503,502,503,649,502,649,502,888,503,502,783,649,501,502,103,368,500,501,511,502,501,501,502,107,800,649,500,649,500,800,502,282,310,649,800,500,800,501,649,649,649,649,282,503,501,282,282,502,503,501,500,502,500,502,504,503,500,501,501,501,503,16,503,103,649,500,504,800,800,649,502,649,502,16,502,800,500,503,502,502,800,649,16,502,500,500,800,649,649,501,800,800,800,2,501,502,502,502,649,554,735,649,501,501,500,503,503,501,503,216,501,649,502,649,501,800,282,16,501,649,500,502,558,800,16,500,500,503,503,862,16,503,800,282,503,503,502,500,800,500,54,500,500,800,800,500,501,501,16,503,800,501,501,500,282,282,282,500,503,502,740,649,503,649,503,16,504,800,503,282,649,500,649,649,800,502,502,649,649,397,649,500,16,362,487,649,501,501,501,503,649,500,501,503,501,503,282,589,800,501,649,501,501,503,649,964,549,282,800,282,649,502,309,503,649,841,500,649,501,501,500,501,649,282,980,649,500,580,800,282,503,16,586,502,501,503,503,16,501,503,501,503,502,500,649,501,503,503,800,534,503,501,444,430,501,500,668,503,503,502,503,649,800,503,501,503,502,504,800,103,500,16,16,649,282,622,501,503,800,503,320,800,502,739,500,649,800,103,504,282,649,800,800,500,503,800,500,500,502,503,503,503,502,502,500,501,502,107,500,501,500,800,503,501,503,391,502,503,649,502,800,503,504,649,233,800,500,502,500,500,800,634,800,500,705,503,800,502,501,501,649,503,500,705,800,502,501,501,501,649,649,16,649,649,16,503,500,649,233,503,649,502,282,501,500,502,500,800,500,595,649,502,500,500,503,282,502,649,503,16,16,649,800,107,503,504,308,500,800,649,500,800,800,649,503,800,727,800,503,955,282,206,410,501,501,649,503,501,800,500,800,800,503,468,649,503,501,800,649,504,649,501,282,800,800,282,282,649,501,167,282,502,649,800,504,500,282,631,502,502,503,503,503,503,649,395,649,649,602,504,16,800,649,800,16,500,649,500,501,501,504,649,500,503,500,649,649,500,502,500,500,649,503,502,16,649,649,978,649,503,502,503,502,500,503,107,502,502,503,503,501,800,501,800,282,503,800,502,503,610,501,282,501,500,502,503,502,800,500,794,71,501,16,502,503,503,501,503,282,16,360,500,282,282,501,503,649,501,502,649,282,649,107,800,282,500,500,213,649,501,500,16,800,503,800,701,500,501,501,501,501,504,501,36,501,282,115,501,501,282,503,500,500,649,800,500,999,800,649,501,502,500,500,501,503,800,282,501,503,800,501,947,576,501,16,524,226,503,649,503,503,500,197,503,282,503,500,282,501,649,282,503,501,841,544,503,800,503,501,282,800,649,503,407,500,500,500,298,437,800,800,649,282,500,500,800,503,621,585,649,500,504,800,503,994,501,503,649,501,503,504,800,705,501,502,502,503,501,504,503,108,503,800,800,504,501,500,501,501,502,282,501,502,101,16,282,500,503,500,800,500,127,502,501,800,500,500,16,500,501,501,205,649,502,502,503,500,502,114,800,649,503,729,649,16,503,43,503,103,482,502,800,800,502,556,649,503,800,562,800,501,500,502,500,503,282,500,501,89,981,649,500,578,502,500,502,500,501,502,282,16,502,649,500,282,16,649,800,800,800,339,502,500,501,503,649,500,502,500,502,500,800,800,500,501,800,504,501,800,501,500,500,502,800,502,282,501,649,864,999,282,748,501,649,107,649,501,800,500,501,649,503,503,504,500,501,501,140,501,649,503,282,501,652,502,501,282,649,282,501,501,501,502,800,800,500,649,800,503,282,800,503,501,649,282,500,502,103,800,573,649,503,280,501,800,503,503,282,890,501,502,800,502,503,649,502,282,581,848,501,800,649,503,501,502,282,282,800,501,800,501,95,503,649,500,501,502,500,502,800,501,501,800,800,501,501,649,649,503,800,503,649,649,500,800,503,501,502,503,800,500,282,500,503,449,103,649,800,807,502,282,282,502,649,649,503,222,649,500,649,649,649,800,503,502,500,500,503,800,500,502,261,502,282,421,500,946,503,501,645,503,503,503,501,111,502,55,744,649,500,282,502,500,503,500,270,649,503,500,16,16,649,501,420,500,649,504,500,16,846,82,16,504,502,503,502,800,500,381,500,501,474,282,503,502,103,503,282,503,800,501,649,849,500,800,16,800,503,503,754,500,930,501,649,503,282,503,800,501,503,649,502,503,503,501,649,500,501,501,501,16,16,501,501,503,800,502,107,800,500,504,16,502,500,501,16,500,503,504,145,501,500,503,800,800,649,614,800,502,649,500,16,649,649,500,100,501,543,800,800,502,502,631,336,500,503,500,501,282,503,501,502,503,503,649,358,649,187,107,282,649,800,16,500,649,979,649,286,16,16,649,503,501,649,649,500,504,833,503,649,282,500,501,501,500,500,649,649,649,502,500,502,502,500,501,501,500,503,501,501,502,649,649,502,500,503,500,501,800,501,649,800,501,503,800,800,502,501,501,503,502,765,503,478,789,502,282,501,503,502,502,282,502,502,103,500,500,800,800,576,638,327,502,649,800,800,649,282,500,282,500,500,838,649,649,501,503,500,501,501,107,502,800,501,544,503,800,282,501,649,282,800,501,800,800,649,500,501,282,649,270,649,282,500,500,501,649,503,649,502,502,800,500,501,103,800,800,502,649,501,503,800,641,502,501,500,501,800,503,503,502,502,282,502,800,128,500,800,218,895,16,502,649,703,502,503,503,501,503,501,503,800,16,502,502,503,749,649,502,502,649,800,649,502,822,800,16,104,800,500,501,500,501,100,503,502,800,501,800,502,800,726,649,500,500,502,649,649,501,503,500,502,282,501,800,502,500,501,800,502,501,649,502,503,800,649,649,649,284,282,503,500,501,503,16,501,282,480,585,282,501,501,800,649,590,800,502,500,119,282,769,503,800,501,501,503,503,717,503,503,16,282,500,502,501,501,800,282,502,501,500,800,800,960,590,394,800,297,502,25,501,503,503,501,500,502,502,527,500,282,103,800,502,501,503,705,649,282,282,502,649,500,800,503,100,195,282,502,800,649,501,500,502,502,501,800,502,502,282,502,503,500,649,803,501,649,649,800,502,800,503,649,16,733,503,16,503,282,503,502,282,500,282,502,800,500,502,649,503,800,717,500,649,282,800,502,500,800,500,504,185,502,282,501,282,705,500,63,500,649,649,649,946,649,649,800,354,800,500,649,649,500,768,800,500,800,800,649,500,16,502,503,649,502,282,503,649,501,503,500,800,502,500,800,649,800,500,503,16,502,498,282,800,502,503,501,282,501,919,502,503,502,800,501,649,14,502,649,500,649,500,501,800,800,282,649,282,503,107,503,500,800,800,502,501,800,800,800,282,502,282,502,800,172,503,60,502,800,129,502,800,501,501,543,500,282,501,501,502,503,507,503,501,503,909,964,503,500,800,502,502,502,708,502,800,500,649,255,502,503,20,500,649,177,800,985,503,282,500,502,114,501,800,649,800,282,502,705,503,649,503,800,649,800,282,282,161,502,800,649,500,649,381,154,800,500,503,503,649,800,649,862,501,503,685,503,502,649,500,737,509,677,502,103,649,649,880,501,502,282,503,649,491,380,500,764,501,501,500,502,501,501,800,649,800,649,502,282,500,233,800,503,503,501,501,282,649,501,282,800,377,500,500,800,501,124,107,101,504,800,503,503,501,501,16,800,107,501,150,705,11,501,943,800,884,649,405,503,800,502,282,981,502,501,800,800,649,651,500,800,649,501,501,649,928,649,857,500,16,502,649,649,500,777,892,503,502,503,503,746,800,612,502,502,649,501,9,504,649,282,800,800,500,501,649,649,502,501,16,503,800,501,800,649,282,500,500,282,500,500,800,504,500,500,503,503,502,501,48,501,503,503,500,503,863,469,649,502,324,502,500,503,502,503,500,649,502,500,503,502,16,107,649,502,436,503,649,500,500,502,501,503,649,501,800,500,912,572,282,500,282,800,649,503,500,502,502,502,500,501,501,109,503,282,367,500,503,282,503,502,502,800,503,16,500,282,500,308,503,502,503,126,649,501,501,885,503,500,501,501,502,500,502,503,331,649,502,502,501,503,282,110,800,454,500,804,503,500,500,649,500,501,800,282,501,501,500,649,800,503,503,282,502,821,649,503,649,16,282,649,502,501,501,504,649,503,500,501,800,502,501,649,649,500,649,649,795,500,502,501,800,503,800,500,501,502,16,500,649,16,500,800,502,863,503,649,501,500,850,360,504,502,62,800,800,890,347,800,957,501,503,649,282,341,16,501,16,282,713,649,501,502,501,501,757,502,502,649,649,502,282,649,71,282,649,500,502,501,649,502,98,501,500,649,89,501,501,500,504,800,501,502,500,500,502,502,169,670,800,16,16,649,504,501,800,502,776,79,677,501,500,381,649,502,501,16,800,425,282,503,501,501,503,800,502,503,502,282,800,501,808,711,502,649,800,501,800,649,500,502,500,649,800,800,800,501,501,649,646,282,800,501,16,800,355,502,649,800,502,502,488,503,649,502,502,649,800,502,502,282,16,502,501,503,427,800,500,800,282,649,501,800,501,649,800,501,16,501,500,501,503,107,501,107,503,502,501,800,576,503,649,500,16,500,502,503,503,501,649,501,503,500,800,502,502,100,500,800,502,282,501,649,503,501,503,397,503,502,500,501,16,649,243,649,800,649,407,500,500,502,946,501,204,800,502,502,800,815,282,282,16,502,800,500,800,649,107,501,927,800,501,282,779,504,681,501,501,649,503,282,501,502,502,390,500,501,592,503,500,503,800,578,501,282,800,502,649,501,649,282,501,649,800,501,681,649,282,649,977,800,649,501,800,800,500,503,282,502,649,500,501,282,649,503,649,504,500,500,501,500,800,503,501,500,649,503,475,501,500,649,336,501,501,501,503,500,16,503,503,109,502,500,501,502,44,649,501,502,107,800,503,500,649,503,291,501,502,501,800,187,500,757,503,103,501,502,800,502,501,800,800,500,500,500,501,501,800,501,649,501,282,501,501,649,800,153,800,501,649,500,500,394,503,298,503,502,649,503,501,503,502,671,501,649,800,500,246,500,282,500,126,503,800,800,928,500,649,503,500,109,649,951,649,800,501,800,501,16,500,547,691,500,500,500,800,800,800,500,503,177,800,503,107,800,649,501,649,503,649,649,502,282,800,645,502,502,134,649,389,649,500,16,800,649,131,649,500,502,800,283,649,500,503,649,521,502,501,503,440,103,501,502,800,500,503,501,502,500,800,800,649,500,800,501,16,501,516,800,649,282,504,503,503,501,502,649,502,800,116,800,649,500,501,16,503,954,501,502,502,500,649,502,649,800,501,500,649,649,503,649,500,503,800,649,649,500,649,502,500,503,649,504,502,800,500,800,535,282,501,649,649,800,440,501,649,500,500,649,800,502,800,504,502,501,915,502,503,282,502,282,649,800,800,598,649,649,800,501,502,25,501,649,501,16,800,649,503,501,282,649,501,924,500,503,502,501,107,649,705,500,282,502,649,282,500,501,800,500,501,649,501,501,503,800,107,649,649,503,502,500,503,504,800,800,500,282,500,16,282,503,649,649,638,800,705,16,95,501,500,501,282,649,501,107,503,503,501,658,270,649,649,503,282,16,649,848,502,649,503,500,501,326,502,503,800,501,800,501,503,502,649,16,649,502,649,500,281,800,800,502,649,503,649,502,466,649,501,503,800,321,503,501,502,800,502,502,649,649,444,503,649,649,503,649,500,800,282,502,500,649,503,502,748,501,501,800,649,649,500,502,501,502,800,502,810,800,503,282,501,500,649,501,360,936,107,649,500,980,501,649,501,502,649,503,282,649,800,649,501,893,649,500,500,649,503,500,16,586,282,500,800,998,502,501,282,649,16,500,937,282,711,502,500,649,501,800,504,649,503,223,502,16,502,800,500,503,501,503,502,596,500,500,503,501,800,526,504,501,503,501,500,16,503,649,502,649,500,282,503,501,501,502,649,503,502,649,503,502,637,500,649,501,501,500,500,501,800,504,696,501,649,503,501,503,501,503,142,501,502,500,501,800,822,502,649,500,500,502,503,282,503,376,800,282,282,16,800,649,463,462,503,503,800,649,282,52,500,282,282,800,504,502,501,649,649,282,649,501,503,649,503,500,131,503,800,502,502,800,16,503,501,282,503,500,501,216,502,502,500,500,501,800,419,500,502,502,500,500,800,800,502,501,649,800,503,649,282,501,649,503,504,518,500,503,282,268,800,649,754,16,501,502,649,502,282,282,16,502,42,500,16,282,440,800,500,503,282,503,714,649,500,643,501,501,282,593,504,501,500,500,503,412,502,800,501,800,502,800,501,649,503,503,502,502,500,501,426,503,501,800,501,503,501,800,649,500,501,649,282,649,800,649,500,649,500,502,649,800,500,643,899,649,503,501,649,502,134,501,649,501,800,649,519,500,649,500,649,649,503,16,649,800,502,502,500,649,800,282,282,649,502,678,500,282,800,502,503,500,649,800,282,649,890,282,800,800,16,503,500,503,503,503,340,127,800,649,500,500,800,501,502,800,502,649,500,502,649,800,503,501,800,500,500,282,649,150,503,16,503,503,16,502,502,111,500,502,501,503,282,500,800,649,503,972,501,502,503,502,800,500,649,502,503,501,649,502,501,504,800,282,502,949,502,502,501,500,502,502,502,800,502,282,502,501,800,649,800,501,500,239,500,800,500,800,501,800,500,649,800,881,501,16,500,502,502,649,282,500,649,501,500,502,282,649,193,705,504,791,502,503,501,103,501,501,282,800,800,502,282,649,800,500,800,501,502,282,502,501,282,504,800,501,501,501,502,649,531,503,649,502,501,282,502,503,833,501,501,647,504,502,649,500,500,16,500,800,502,502,756,501,196,800,649,649,800,500,575,282,800,501,500,501,500,16,757,502,282,680,501,649,503,502,16,649,503,649,649,503,649,282,501,500,501,500,800,502,21,503,503,501,649,649,502,502,503,698,649,500,503,800,800,800,800,503,503,282,282,501,503,649,800,503,503,190,282,800,500,705,705,503,503,649,800,800,503,97,503,282,500,504,282,800,938,503,649,502,500,502,503,282,800,956,16,108,500,462,800,503,502,500,255,617,16,503,151,503,800,500,501,800,502,649,500,282,800,502,503,161,649,502,282,800,501,282,501,649,991,392,800,943,688,282,503,503,502,16,649,501,501,282,502,649,659,963,504,503,501,502,502,502,583,503,503,503,502,617,649,800,503,800,800,503,493,503,649,800,501,57,649,502,156,282,500,502,503,649,502,649,32,358,107,921,649,501,501,800,800,649,500,500,282,800,800,800,502,649,500,501,503,502,282,800,500,500,800,500,503,504,649,501,84,500,503,501,649,170,649,649,500,503,502,502,548,282,103,500,800,502,503,500,504,500,500,800,502,16,282,501,501,96,649,500,752,800,649,503,134,800,649,531,500,800,724,800,502,649,502,308,16,643,282,437,500,800,503,502,800,502,503,282,693,500,800,282,502,800,503,502,503,782,107,800,500,107,800,195,504,502,649,502,503,501,282,503,800,282,500,282,107,16,500,503,503,502,500,16,503,502,503,500,504,503,503,16,501,16,503,170,502,930,649,500,500,666,800,502,501,503,502,312,501,502,734,282,502,502,501,500,685,503,800,649,502,59,500,501,800,503,502,800,502,500,800,800,501,503,649,501,649,503,501,705,649,501,152,16,500,282,800,500,649,800,500,282,501,800,502,800,500,500,502,122,500,501,502,503,502,500,282,628,502,407,500,502,503,282,282,453,282,652,503,16,501,990,649,503,800,649,502,649,649,319,503,513,169,500,282,800,649,282,282,500,502,282,282,501,502,500,502,649,282,502,800,504,503,649,502,405,500,502,891,800,502,501,282,500,500,800,16,649,818,501,501,308,500,649,502,282,800,502,298,503,800,800,503,47,501,501,502,501,800,501,501,501,800,282,800,103,503,500,301,503,800,500,500,501,282,500,800,503,503,500,853,134,500,800,503,107,798,649,800,800,282,503,503,282,500,501,478,174,649,502,649,504,418,500,500,503,501,649,501,500,502,136,503,502,501,503,805,649,500,649,649,500,500,501,503,5,503,504,501,500,87,501,502,282,800,800,800,713,503,649,500,845,800,503,649,767,800,502,800,500,501,282,502,800,282,800,502,503,800,800,502,107,800,972,500,147,503,503,800,501,449,502,503,649,800,503,649,503,868,556,649,649,503,555,800,649,800,282,501,77,800,503,107,502,800,501,501,500,502,501,649,500,501,502,501,500,649,282,800,501,45,503,282,502,500,800,502,800,206,649,502,919,649,649,725,649,500,503,502,282,282,518,503,503,282,502,649,946,500,501,500,500,800,282,502,502,500,501,800,504,800,503,503,503,282,16,282,800,896,800,500,503,800,282,649,282,503,705,501,501,502,282,502,501,502,649,501,500,501,827,503,282,503,282,503,800,503,500,649,502,800,501,282,282,500,282,800,649,649,500,500,501,501,800,500,282,501,800,649,800,16,501,502,500,195,16,502,800,16,601,502,501,649,552,502,502,502,744,503,244,649,800,503,500,500,554,800,503,800,806,800,500,649,16,177,502,649,16,800,503,500,649,504,500,649,500,502,16,501,500,373,500,800,503,502,103,16,501,502,296,835,502,501,502,503,145,649,649,502,16,800,16,649,800,502,502,649,503,502,800,502,503,649,501,501,503,502,502,834,503,282,675,500,500,504,800,800,988,649,649,649,500,501,16,16,501,503,501,261,282,500,16,503,500,502,502,604,649,800,800,503,282,282,800,649,800,800,501,503,503,503,800,502,502,649,502,502,800,282,502,501,500,503,500,502,649,800,370,501,389,503,502,503,649,877,501,501,503,800,819,282,503,500,501,501,800,501,502,282,503,649,282,649,649,277,800,503,510,500,800,503,500,500,107,869,502,800,282,800,503,501,503,503,502,500,649,247,503,686,501,649,503,800,503,649,502,800,502,282,632,333,502,800,500,597,649,502,501,800,522,502,282,503,147,800,800,649,503,800,560,282,501,16,500,503,282,504,649,107,502,502,500,721,503,800,649,150,649,282,649,503,800,502,502,501,503,500,501,741,661,800,649,649,800,649,502,800,282,649,504,800,16,282,503,649,500,501,800,500,649,502,227,649,649,800,503,119,503,502,481,282,501,501,502,502,500,282,800,503,502,800,502,500,238,16,113,800,503,503,800,800,500,500,500,500,649,500,501,649,500,649,16,649,649,800,504,503,649,501,107,800,800,502,16,157,649,649,918,501,649,502,800,800,503,502,800,800,502,282,649,649,500,501,501,282,649,500,649,649,800,500,832,503,502,502,501,649,500,282,502,501,501,502,501,649,500,501,259,501,325,501,500,500,501,503,216,16,503,504,282,502,500,282,502,649,282,502,503,503,502,800,503,97,501,503,800,500,5,501,649,107,500,500,501,800,800,649,800,500,649,502,709,501,474,859,376,298,502,500,800,708,503,502,500,16,670,501,500,282,443,502,649,503,500,649,649,184,500,649,501,184,501,800,500,800,503,503,502,539,800,800,502,282,282,649,340,503,800,800,501,649,500,503,501,282,503,649,800,649,649,926,649,137,500,500,649,501,649,500,800,16,501,800,500,502,502,503,502,502,800,502,758,649,503,503,503,503,503,500,107,501,930,502,500,800,504,502,955,282,503,730,500,649,503,500,503,502,800,649,282,649,502,744,503,649,504,501,502,501,649,800,649,282,800,501,800,649,501,800,503,68,501,502,800,503,649,501,282,800,649,282,500,467,426,282,502,282,243,16,800,503,282,443,282,502,500,503,995,501,501,594,500,502,800,501,502,649,800,913,502,800,107,502,500,800,16,501,501,500,282,649,800,649,500,501,504,500,800,500,502,800,649,800,501,99,502,500,502,240,649,800,282,649,504,500,649,501,297,381,103,502,501,500,503,649,649,500,332,858,800,487,501,501,649,800,503,502,503,502,502,800,500,501,282,501,649,800,800,658,649,503,502,282,560,502,16,502,502,649,502,503,282,800,800,16,502,282,107,501,502,502,282,501,500,501,800,502,16,502,282,660,503,669,501,502,282,500,501,282,282,501,500,500,800,800,500,503,500,378,503,502,282,794,800,502,16,502,502,649,800,500,649,649,800,649,501,800,16,800,649,502,500,502,502,89,500,502,503,500,800,503,501,498,86,649,282,649,503,703,649,502,282,282,282,649,503,502,912,503,503,501,502,521,16,501,501,800,502,16,501,800,282,554,800,503,649,500,502,649,501,503,500,282,501,649,502,502,502,649,800,503,683,282,500,705,502,500,282,542,503,503,282,502,503,503,500,501,800,500,501,502,107,982,649,800,440,501,800,800,800,500,503,502,501,649,649,502,504,502,504,500,500,16,800,863,649,501,500,445,800,503,500,501,501,503,800,503,502,649,800,92,501,502,502,282,649,503,16,501,833,649,800,826,282,503,501,649,500,502,502,800,800,649,800,500,800,800,501,992,881,502,649,502,502,190,476,800,800,800,503,500,503,649,800,800,649,800,851,282,16,282,500,649,501,649,800,500,282,282,800,503,282,500,800,800,800,503,649,502,503,649,500,649,561,800,503,500,503,501,500,503,800,503,502,501,54,501,501,417,649,800,800,505,852,503,882,503,503,528,282,107,129,501,500,16,330,649,502,347,649,503,502,500,500,502,503,502,282,504,501,649,851,501,501,282,570,502,500,502,501,501,501,501,503,16,649,500,800,800,376,501,800,501,282,649,649,500,800,16,502,502,502,502,500,800,282,503,502,500,800,800,800,502,500,800,503,16,649,500,840,705,502,500,500,503,282,502,502,502,501,501,800,344,800,501,500,500,282,800,800,800,504,135,500,649,800,800,328,800,649,501,501,941,16,503,500,282,500,502,502,800,649,503,501,503,503,800,800,503,502,649,504,16,500,504,502,500,503,501,501,16,557,282,503,800,503,501,649,502,503,502,502,800,646,331,282,119,503,503,500,684,800,282,502,282,800,800,103,282,503,800,502,502,503,594,501,811,504,649,649,649,800,649,649,780,30,503,501,235,800,649,500,501,282,500,503,649,500,282,503,16,500,504,103,800,649,282,501,501,800,503,800,137,800,503,800,502,580,800,800,649,502,200,501,501,649,502,501,500,502,800,503,503,198,103,502,282,800,502,16,503,500,500,500,501,420,649,282,500,501,501,503,500,800,453,502,649,951,503,99,649,192,649,501,282,103,502,800,16,501,16,107,501,500,504,501,282,502,501,501,500,502,500,800,501,776,504,118,500,503,500,503,503,500,574,503,800,16,649,800,282,149,793,649,501,649,346,800,500,501,16,800,282,282,282,502,502,500,503,500,503,282,502,800,500,282,500,649,503,503,486,500,500,503,372,500,800,483,969,212,501,529,800,503,501,649,500,649,500,500,177,644,649,649,500,649,500,649,760,649,649,800,502,649,503,500,503,502,107,832,500,502,501,16,501,649,649,503,501,800,649,800,649,800,502,500,800,107,501,800,500,501,503,106,504,500,502,295,282,649,649,504,500,501,501,503,500,500,501,282,500,282,649,800,649,502,504,779,800,800,500,649,715,449,800,500,649,503,500,503,501,503,15,501,649,800,32,649,705,800,502,503,500,500,282,503,814,649,800,800,800,502,501,800,502,800,282,503,800,649,414,501,500,500,500,800,585,984,282,500,502,800,649,649,649,502,502,649,501,399,501,500,501,282,649,500,502,502,503,649,502,500,800,503,800,503,16,503,800,649,855,103,502,500,501,503,501,970,103,649,500,500,501,500,800,649,649,498,500,500,800,718,800,800,649,649,649,501,501,800,282,502,503,502,502,501,503,502,503,501,649,895,500,800,649,503,502,502,503,503,649,633,402,800,886,800,800,500,649,500,800,503,500,503,800,649,800,500,637,200,500,500,501,800,16,649,649,503,282,503,501,649,282,155,503,502,282,503,503,282,991,800,502,501,800,504,500,282,502,649,156,503,503,503,500,501,800,503,649,501,503,502,503,503,800,217,649,63,503,501,282,502,375,864,503,545,502,502,503,503,921,649,649,500,502,800,502,800,501,649,649,226,800,500,60,503,501,78,500,282,502,503,502,503,282,501,501,800,800,649,500,229,504,502,282,502,503,649,649,282,501,282,800,503,501,800,649,502,500,500,877,282,649,649,649,770,800,503,500,502,649,282,800,504,282,502,706,502,501,649,501,501,502,501,502,500,503,501,503,501,501,234,502,107,649,16,501,533,500,503,500,501,773,503,282,649,16,800,800,500,282,500,649,500,649,503,597,503,649,800,417,503,649,501,503,649,500,502,502,503,705,800,503,800,503,503,681,500,186,502,502,649,800,649,103,282,501,503,500,730,400,649,174,502,68,16,503,500,503,502,800,501,800,649,500,800,501,367,282,800,500,282,649,800,851,502,800,500,502,500,502,649,800,800,805,502,293,504,800,501,503,503,800,504,437,800,282,800,282,282,503,800,482,501,649,501,67,502,500,501,503,503,502,503,503,500,785,503,502,503,649,210,502,800,649,500,503,503,502,800,502,500,501,649,501,476,295,502,502,282,800,500,500,649,649,503,503,800,500,504,500,649,253,501,500,501,16,502,501,503,800,501,728,502,649,139,282,282,649,800,800,889,800,503,500,228,501,500,502,800,649,502,503,790,800,16,502,500,503,501,503,500,476,16,103,649,502,500,649,543,356,502,502,649,649,503,649,500,503,503,800,502,800,503,800,502,503,649,502,107,100,502,649,500,501,649,649,16,649,800,502,502,282,501,501,307,282,649,800,503,282,503,501,502,107,282,502,800,649,503,649,16,501,479,649,501,500,649,800,282,579,501,500,16,503,665,649,800,601,501,503,503,503,649,567,503,800,282,800,500,282,501,501,800,103,265,500,769,501,404,1,501,649,503,504,501,501,649,500,504,501,501,501,500,649,503,737,16,115,649,501,797,501,282,649,503,800,16,926,502,16,500,503,282,282,501,800,500,800,500,500,660,800,502,500,500,649,502,503,282,503,800,649,503,649,503,649,502,500,500,649,649,649,500,503,503,501,501,649,487,800,501,16,16,503,503,503,500,500,800,501,503,911,16,502,800,282,501,649,800,282,649,503,282,303,649,500,649,501,282,502,501,649,501,307,502,502,502,502,800,649,501,940,283,502,649,501,503,649,282,16,103,501,800,500,502,500,503,503,502,501,800,500,503,500,282,649,502,800,800,16,500,282,500,503,502,282,503,502,649,705,501,503,500,16,501,503,501,503,800,800,500,135,649,44,501,569,800,503,500,649,501,502,503,500,800,282,503,426,16,502,649,503,502,800,800,501,800,501,502,502,502,502,502,504,649,502,649,800,282,503,500,16,649,504,500,19,510,800,501,502,503,503,500,652,191,282,574,503,649,298,503,500,178,504,800,655,501,500,800,282,649,13,503,501,502,649,800,503,324,800,16,139,800,42,501,501,501,501,501,501,502,559,500,800,746,282,501,501,800,501,500,500,500,800,500,501,502,800,501,829,800,282,502,503,859,500,800,502,649,501,484,501,501,282,282,501,500,136,503,314,16,739,649,800,501,503,502,197,500,649,502,16,405,649,775,649,800,500,649,800,502,649,502,501,500,500,282,473,500,502,502,500,500,501,501,502,649,501,802,503,107,500,649,649,649,385,501,800,500,800,501,957,502,500,800,501,502,800,282,503,282,502,36,800,501,501,739,665,503,502,501,282,649,800,282,800,501,433,282,649,536,500,16,282,502,282,282,573,500,282,800,501,502,800,501,617,503,577,503,282,500,500,501,502,649,502,648,649,800,171,502,500,502,800,649,501,392,695,501,164,502,500,501,502,501,800,800,503,800,649,502,527,961,502,386,482,500,800,107,80,649,649,503,500,500,649,612,282,502,107,503,501,501,503,501,16,800,503,441,16,503,503,800,501,53,800,649,503,750,501,282,503,649,501,800,800,503,282,502,239,502,509,649,503,916,503,503,16,500,502,503,503,909,500,502,503,501,503,733,503,282,800,501,501,800,501,649,500,800,649,503,649,503,196,649,282,800,282,501,649,502,501,800,800,503,502,649,502,649,282,502,649,205,501,649,503,16,503,501,800,503,282,503,800,501,16,649,500,649,500,924,181,649,501,501,502,501,500,501,800,502,502,501,75,502,500,500,649,42,649,501,500,500,502,800,500,501,500,500,800,282,500,649,282,649,503,503,800,800,800,282,502,500,500,500,504,800,500,501,282,107,765,501,500,501,502,16,502,649,800,502,649,282,649,500,649,720,502,800,282,649,500,500,502,503,501,503,500,501,449,367,500,502,501,649,959,685,502,389,282,482,800,649,16,282,502,502,500,500,503,800,282,800,503,469,301,503,549,800,500,503,503,500,502,501,503,500,649,649,649,501,649,502,503,503,500,503,649,800,502,503,500,800,501,649,501,892,501,503,800,502,502,502,503,502,501,649,79,502,800,649,501,800,500,503,363,616,501,503,282,800,500,501,690,500,500,649,649,800,502,438,500,282,503,649,501,503,501,500,502,504,520,500,282,503,16,16,800,503,503,501,503,501,503,503,800,503,500,503,282,503,501,501,21,502,502,500,502,282,504,649,502,649,800,503,501,282,503,649,502,649,500,16,282,865,800,800,800,800,16,502,16,501,504,107,16,500,503,502,800,800,597,282,282,16,502,504,439,800,498,501,800,503,500,931,502,649,500,103,500,16,501,500,649,800,501,503,501,16,501,502,500,501,649,501,500,504,649,800,800,16,502,500,500,502,502,282,282,503,800,501,503,648,503,16,649,282,282,502,502,649,503,503,502,504,107,950,500,503,649,800,502,502,649,502,500,500,504,30,625,649,500,918,501,503,500,282,282,502,717,649,282,649,503,501,829,502,500,500,649,649,800,502,502,649,202,282,503,500,503,501,649,502,503,800,800,649,500,282,503,502,800,800,504,282,500,503,501,107,503,502,500,800,502,501,649,503,649,16,144,500,502,503,107,500,78,502,503,502,649,502,500,16,800,800,16,503,502,800,500,230,500,501,800,956,132,503,500,501,501,800,500,500,503,275,502,503,503,57,979,500,649,458,500,282,502,282,500,800,800,501,503,501,800,649,502,282,502,282,500,503,502,213,800,649,649,800,501,502,503,503,649,40,16,502,500,501,649,649,649,282,501,649,501,788,282,502,800,502,649,219,503,501,500,502,500,800,649,502,282,800,504,504,800,800,502,500,502,282,649,800,282,19,504,282,282,504,500,649,501,502,501,649,504,500,504,891,502,664,188,800,792,103,12,503,501,225,800,883,503,753,502,501,649,500,800,649,500,500,16,503,503,107,503,502,502,649,503,503,501,502,282,500,649,500,502,501,502,705,501,800,624,501,501,500,800,501,503,230,649,503,800,500,503,500,504,503,282,649,503,501,639,500,800,502,503,800,16,800,800,800,800,501,38,800,800,503,16,649,500,649,500,649,800,502,501,503,501,800,500,800,500,282,608,649,500,500,502,502,800,503,502,800,282,501,706,649,800,500,502,501,503,503,16,501,800,503,501,501,502,22,649,671,502,501,501,501,502,500,503,16,164,502,503,503,282,282,501,544,502,500,649,800,503,503,503,502,501,800,500,500,501,501,503,501,503,800,503,503,649,500,50,800,502,503,503,800,800,553,502,501,649,502,649,800,649,500,502,501,800,476,502,937,503,503,501,500,380,500,800,799,649,800,504,282,502,800,649,16,502,502,501,411,800,31,337,800,649,500,649,800,107,500,282,800,649,503,500,503,291,503,649,125,502,282,502,500,800,503,103,501,500,502,502,502,649,502,60,503,282,117,503,503,500,502,500,503,503,500,800,500,500,502,16,503,800,500,615,503,502,501,649,649,800,16,649,800,800,500,501,500,503,502,500,800,257,503,504,502,500,800,593,501,502,339,800,502,502,729,503,503,800,502,649,501,503,800,282,903,800,402,503,649,107,502,800,800,503,504,16,800,501,800,501,282,500,503,502,800,500,500,800,800,501,943,502,502,800,37,500,282,503,500,502,649,502,16,649,502,649,503,800,4,649,886,809,800,649,500,800,800,501,501,501,500,503,282,501,649,502,502,800,649,390,502,501,649,649,503,503,501,649,504,502,502,502,194,503,649,501,189,405,502,800,501,500,282,500,460,503,649,282,502,649,501,800,501,501,800,503,501,800,800,500,500,503,649,501,502,502,501,16,649,503,501,502,503,800,501,501,660,800,501,501,500,649,503,649,800,503,500,258,353,649,800,502,800,501,501,500,503,640,800,649,282,16,500,649,500,800,800,501,70,339,500,649,501,800,504,503,800,501,500,500,649,999,504,501,502,665,393,285,500,500,500,917,649,649,282,558,800,604,649,649,46,800,800,502,501,502,500,500,649,500,825,790,800,502,800,503,502,621,649,501,502,16,525,500,503,649,107,800,649,700,800,500,501,503,649,501,282,503,504,501,500,800,649,503,161,669,649,501,649,501,503,16,277,503,649,649,501,800,501,276,202,503,800,500,282,500,800,503,800,503,503,649,649,282,501,500,501,501,501,501,800,16,503,282,125,501,649,926,649,500,649,800,800,800,800,503,649,363,649,502,500,500,501,500,649,500,998,649,503,501,800,800,800,107,78,649,501,502,502,282,502,443,800,649,282,501,500,649,23,649,940,103,500,800,800,503,282,290,502,282,501,501,171,85,502,501,800,503,501,500,262,800,502,282,282,500,649,500,502,649,500,500,500,503,649,500,500,501,501,500,649,500,800,649,502,503,649,391,890,503,503,501,278,964,503,501,502,218,501,500,502,914,649,502,264,500,973,503,649,502,649,503,16,800,503,503,501,800,500,16,609,500,503,504,503,503,504,498,800,500,800,649,501,282,500,282,503,649,282,503,800,501,800,503,922,282,282,282,500,501,501,800,825,107,501,282,500,687,649,503,800,502,800,800,501,321,501,649,502,501,612,502,649,800,800,924,720,501,85,649,501,800,16,16,16,264,705,649,800,502,649,800,800,500,501,501,501,889,649,502,2,282,800,502,503,800,103,501,501,16,697,503,649,502,800,501,502,800,282,500,504,649,404,107,460,649,503,504,282,851,107,501,649,503,503,500,501,501,500,745,800,500,500,501,501,501,500,501,649,502,800,649,282,500,503,502,502,282,501,501,503,649,800,16,649,800,502,500,107,500,501,503,800,501,649,502,501,494,503,500,503,502,500,500,502,800,500,282,503,500,503,649,282,282,649,501,504,502,502,503,800,282,869,649,800,233,501,503,282,502,282,501,503,800,500,86,282,282,219,504,502,282,649,848,516,800,501,501,500,503,503,501,503,915,12,503,502,16,800,501,502,760,800,503,800,500,502,649,501,503,503,800,502,649,500,500,502,854,502,503,705,502,16,649,502,501,503,502,649,282,51,282,501,503,557,502,995,649,500,501,501,501,504,503,800,500,500,501,539,502,997,503,503,800,800,800,502,800,649,501,282,501,649,6,501,947,501,742,146,408,800,83,500,503,501,503,501,502,501,501,649,649,502,386,172,502,503,503,500,503,851,86,282,649,501,16,501,649,800,501,282,501,16,500,649,722,800,500,282,501,504,454,501,800,503,649,282,500,800,500,759,500,502,502,500,501,501,503,500,503,898,501,649,649,649,501,282,503,502,503,502,414,500,503,502,503,800,973,800,500,649,649,800,282,44,649,282,500,502,800,282,649,884,705,321,301,649,800,501,501,500,502,502,501,649,107,598,649,503,501,502,501,759,502,800,504,501,502,649,649,501,503,501,649,500,503,255,649,503,649,649,282,501,500,502,500,215,501,500,168,500,503,689,165,502,500,503,501,649,649,502,649,212,503,501,800,501,649,504,858,502,649,649,282,500,282,502,500,503,502,800,282,282,800,814,282,953,282,649,502,16,501,16,649,503,705,16,128,282,16,503,800,649,800,502,369,502,440,503,501,503,503,500,501,500,502,500,800,500,715,282,501,501,502,502,282,500,503,502,501,500,503,503,800,501,439,503,783,649,649,501,649,109,500,649,501,649,503,800,800,800,649,503,503,503,502,503,800,502,501,502,502,500,800,502,500,502,800,503,502,800,282,502,502,649,800,282,500,500,800,800,88,800,649,652,282,800,503,649,107,780,500,503,933,503,282,500,503,808,503,800,800,500,502,501,535,352,100,16,502,501,500,503,500,107,626,282,464,503,387,500,824,501,500,800,800,502,503,500,800,501,831,800,502,501,107,800,500,501,502,820,800,336,501,500,649,503,503,649,501,649,502,496,501,649,800,504,500,501,502,306,500,800,501,800,503,500,502,649,800,805,705,800,951,502,649,800,649,800,282,500,503,501,93,649,461,800,649,649,500,470,282,502,500,502,501,500,649,413,503,502,649,503,501,649,500,503,16,500,282,503,282,503,502,503,500,502,501,282,800,277,973,282,503,282,501,649,800,800,501,501,973,500,502,649,500,500,500,800,502,800,649,503,501,794,282,500,404,800,503,649,502,501,800,649,16,501,502,500,503,282,502,649,16,649,359,672,502,502,502,501,500,800,16,16,800,118,500,502,859,649,800,800,500,361,800,753,900,502,501,649,502,501,503,649,800,107,649,800,501,501,649,312,800,713,502,103,502,503,649,649,107,502,502,282,16,504,504,500,500,502,501,500,598,649,649,502,73,282,502,503,501,649,16,800,503,800,503,683,501,503,800,649,649,502,500,503,503,503,503,503,501,501,502,503,649,282,800,500,800,649,282,500,504,503,500,501,501,800,16,500,649,103,282,501,500,500,16,775,649,655,869,800,800,107,16,330,502,809,503,501,503,500,869,500,501,503,502,503,649,500,923,501,503,800,611,502,938,649,503,502,282,16,504,502,107,800,811,800,649,282,503,501,649,502,501,282,502,849,649,503,649,649,649,800,501,800,500,503,502,800,500,800,649,282,649,16,800,800,800,503,800,282,649,800,800,500,500,282,500,649,502,502,500,800,500,115,800,800,501,800,501,344,503,502,280,358,104,800,649,501,503,503,282,16,800,503,649,500,800,501,649,649,502,282,100,502,649,800,503,27,501,649,649,501,501,16,500,649,500,649,472,503,503,800,503,242,69,503,501,500,649,800,872,697,502,502,500,502,800,16,501,482,463,649,800,502,649,501,502,500,500,800,16,800,502,649,649,501,502,500,502,503,607,502,16,500,631,502,800,649,800,282,970,501,557,800,935,500,649,282,504,502,800,282,867,495,502,501,501,503,282,500,502,800,800,503,649,75,1,96,282,500,16,501,501,500,503,649,282,501,582,500,649,282,502,986,500,800,649,282,51,502,733,500,504,649,16,501,501,16,503,649,501,649,502,503,756,229,503,649,649,502,501,16,16,502,282,500,16,501,800,502,502,649,649,501,107,503,503,282,282,503,503,800,504,649,282,503,501,500,649,503,501,800,800,649,502,500,520,800,503,501,800,500,502,649,649,500,107,500,800,503,501,800,502,49,800,800,800,502,649,586,16,500,649,500,649,800,501,649,500,800,282,282,800,502,282,649,501,349,800,800,800,502,605,800,504,800,501,501,500,500,16,933,800,800,800,586,501,801,502,649,501,800,502,500,502,649,503,649,502,800,503,649,799,107,210,649,502,501,501,282,503,502,501,736,282,500,95,501,500,800,500,500,504,503,502,471,502,502,501,501,488,502,800,662,970,649,502,233,500,502,282,501,500,649,503,649,800,503,800,635,501,503,501,502,501,500,800,502,800,503,503,502,501,501,502,503,800,800,679,502,503,841,800,834,649,649,501,282,502,800,800,502,502,16,503,502,502,501,502,502,705,800,503,500,328,800,649,298,500,502,644,16,282,502,226,16,593,649,649,502,800,502,500,282,107,500,158,504,503,500,800,16,501,16,501,800,501,282,500,501,504,501,800,503,500,649,502,502,500,503,148,800,504,298,503,282,800,650,50,800,649,503,649,649,649,282,977,800,501,800,649,501,430,800,800,503,800,500,282,282,501,800,649,502,502,502,873,500,619,503,502,800,503,500,503,504,501,129,502,892,501,503,282,800,649,501,649,800,501,627,257,501,950,760,500,500,500,649,16,503,503,503,800,649,501,501,500,107,502,503,649,282,649,501,500,502,12,500,500,332,502,649,800,503,503,800,800,501,501,500,338,501,649,282,502,16,800,500,800,494,800,501,501,502,502,254,503,503,502,282,503,502,205,800,500,500,501,501,649,502,500,502,649,597,501,59,503,500,89,500,800,500,504,502,501,503,800,649,500,282,917,502,282,649,500,282,800,504,800,500,120,649,500,649,502,504,503,503,649,501,800,500,501,800,282,16,800,649,107,800,501,907,19,502,807,502,649,282,649,501,503,503,649,500,16,282,510,502,649,502,696,961,107,800,500,16,503,649,500,501,501,806,502,501,800,800,500,500,504,502,500,503,800,107,282,500,649,800,504,500,500,500,103,649,239,580,649,501,16,503,504,649,500,649,649,500,800,501,503,503,649,502,500,649,649,500,649,501,649,800,800,500,500,501,649,502,800,501,503,503,502,501,16,649,16,501,500,622,649,800,503,16,501,842,500,581,800,503,502,501,502,500,282,800,800,952,800,649,502,501,649,502,800,800,282,649,503,597,502,503,280,501,502,503,16,500,500,503,502,16,107,502,222,344,103,502,503,282,500,758,649,995,501,16,501,388,503,649,649,363,649,800,844,503,532,502,500,501,503,790,503,503,501,800,503,502,503,503,282,454,501,649,304,852,500,800,649,500,500,800,501,500,501,282,500,502,503,503,501,502,800,800,501,501,502,500,500,503,282,503,501,500,500,500,107,500,502,500,942,501,500,800,16,800,501,503,696,501,501,282,807,503,800,649,502,16,67,504,649,800,388,501,800,227,282,503,800,107,503,649,282,282,500,755,76,800,800,503,205,800,500,503,800,800,501,282,16,503,502,55,649,501,500,500,74,503,649,282,502,649,800,502,800,649,800,504,500,883,503,503,503,649,73,503,503,282,16,800,282,649,500,501,16,800,501,159,501,649,503,576,649,500,649,502,500,504,16,501,649,503,649,649,649,503,502,502,800,500,649,16,502,502,502,502,500,282,994,107,649,501,800,500,282,501,500,16,503,800,500,502,946,800,16,502,503,649,503,649,500,502,400,16,503,282,502,503,502,3,500,282,282,503,649,502,503,502,500,502,282,282,503,282,502,503,501,503,500,545,501,800,500,501,501,849,215,502,500,282,412,107,16,501,282,800,503,501,649,503,501,501,501,501,800,500,107,649,606,800,103,800,502,503,503,502,501,503,501,649,503,282,649,16,649,502,501,501,502,500,501,16,502,501,502,500,503,16,504,647,270,800,78,500,649,503,500,503,502,649,675,800,502,503,502,501,501,800,501,501,649,503,909,500,502,800,500,503,500,16,504,518,297,112,501,649,501,800,500,501,500,800,502,500,800,107,502,16,500,502,502,502,500,503,800,500,70,500,503,500,500,501,502,502,502,501,671,800,895,282,950,502,500,502,256,502,649,503,500,501,282,501,202,501,501,282,502,522,354,730,649,502,501,502,365,502,501,786,503,500,649,501,649,800,503,282,500,501,502,800,560,911,501,502,502,800,499,503,500,107,500,200,501,800,282,501,503,959,502,504,195,503,136,243,649,911,800,502,852,501,502,649,502,501,527,503,736,502,502,501,800,503,282,16,503,649,800,649,503,916,16,502,503,800,800,501,800,502,879,800,502,800,882,450,800,800,551,501,649,501,282,503,500,282,501,503,969,282,504,501,501,501,800,500,282,131,800,501,503,800,800,503,501,800,800,500,800,501,952,501,500,800,185,501,906,501,500,501,800,503,502,503,210,482,500,504,501,649,649,500,503,800,501,502,800,501,500,16,502,649,16,800,860,502,504,800,501,649,800,103,649,649,501,501,800,502,16,501,800,500,107,800,649,649,502,503,500,502,800,649,500,800,16,800,800,500,800,16,107,800,649,503,501,807,500,501,649,282,501,282,503,16,800,658,649,649,277,500,501,176,649,503,503,800,500,503,380,500,501,346,841,649,282,697,800,503,500,282,500,282,501,501,941,800,11,500,503,503,500,501,649,649,800,800,800,16,321,800,502,501,103,782,649,501,502,649,503,283,501,501,501,800,800,800,800,501,502,501,800,503,649,800,282,649,500,179,800,282,800,501,800,501,502,800,282,503,503,978,987,500,16,501,511,282,863,503,918,503,502,502,501,503,203,649,282,282,503,502,501,500,800,503,500,649,501,500,503,800,504,649,503,505,800,800,504,649,468,282,16,500,500,649,649,759,551,500,434,500,649,502,502,502,502,501,503,502,800,657,575,649,501,800,502,503,500,567,502,501,503,649,501,501,501,16,800,501,503,500,501,282,502,500,501,282,502,282,502,502,664,500,800,501,800,649,502,800,502,501,649,501,800,649,500,486,501,16,500,800,649,500,227,502,649,500,800,503,503,649,649,500,503,502,526,500,649,800,504,649,471,503,649,16,649,503,502,501,500,502,502,159,225,649,800,156,501,500,282,671,500,762,649,516,502,503,504,800,501,503,432,501,807,502,503,502,504,442,800,800,282,317,282,800,800,14,800,320,503,500,800,503,800,503,800,649,800,649,649,649,502,502,899,397,816,16,501,800,502,800,649,503,502,501,437,502,352,503,501,800,500,107,500,503,800,800,502,877,800,636,800,500,503,800,800,649,502,503,500,923,502,503,501,503,500,500,500,800,107,502,809,800,800,500,800,500,793,800,501,501,112,500,649,501,282,786,649,649,10,649,800,501,649,503,107,649,796,501,800,800,800,502,993,649,16,504,501,500,502,282,649,800,501,649,649,16,503,502,500,502,503,500,279,503,501,800,501,556,800,502,501,186,649,282,16,649,500,500,649,501,800,501,501,502,500,800,800,500,500,649,501,127,649,800,503,504,649,282,501,800,282,800,500,500,502,504,649,503,500,184,502,502,500,503,501,502,502,282,501,282,503,800,282,500,282,501,500,800,500,502,500,501,812,16,502,649,503,107,503,649,649,503,649,500,500,501,500,282,649,800,501,501,649,500,502,282,649,500,503,500,800,500,649,800,269,500,1,515,649,501,501,502,649,479,716,16,502,500,282,500,503,501,863,502,501,649,799,16,500,500,800,500,103,501,800,503,501,503,500,501,649,649,16,504,501,501,503,918,500,807,501,649,649,501,913,800,501,502,503,649,502,503,501,16,576,501,238,649,800,800,500,502,501,649,649,649,649,800,501,500,501,472,52,16,800,500,282,649,503,649,800,793,800,800,800,649,503,800,335,649,501,503,500,501,843,501,282,502,649,649,500,502,800,501,503,800,502,982,800,649,502,800,103,503,649,503,502,800,282,502,502,503,501,500,501,16,502,282,769,282,649,649,282,503,282,502,503,500,501,813,800,500,649,503,649,800,800,649,501,503,501,574,503,800,16,503,503,570,502,503,501,282,502,502,649,503,800,503,501,649,502,501,501,503,457,282,502,16,975,501,503,502,503,462,800,500,800,503,500,502,500,501,16,501,500,800,282,503,503,500,501,501,649,800,649,649,868,800,502,282,637,502,503,502,282,500,649,545,503,742,501,500,502,500,800,502,800,800,502,502,282,282,500,282,16,800,649,841,872,282,500,501,474,503,501,334,500,649,500,482,501,649,800,649,800,501,282,501,502,500,749,502,465,500,500,800,502,500,107,503,501,800,501,501,649,500,322,502,649,500,16,649,649,502,800,649,502,502,500,282,649,649,500,501,501,503,936,800,800,800,16,501,800,649,282,503,501,503,502,501,16,21,500,843,843,501,503,501,649,282,500,503,800,252,2,649,649,649,649,501,501,500,16,503,663,102,500,940,501,501,501,626,502,800,503,503,800,800,503,501,502,282,500,502,501,289,503,501,280,649,496,800,800,503,800,504,501,501,282,500,107,16,501,800,500,501,649,649,501,502,500,502,485,501,800,580,800,500,282,502,500,16,501,502,649,501,691,649,282,618,800,503,16,800,502,502,502,501,73,510,502,501,501,649,282,503,649,543,502,649,649,103,133,800,500,649,502,500,500,649,16,502,500,502,649,501,502,282,503,800,649,677,282,500,500,502,502,649,501,500,502,800,800,649,501,500,502,904,649,692,649,649,800,649,504,649,501,800,501,649,282,450,503,282,500,800,503,500,501,500,800,800,363,503,738,181,60,501,503,800,502,649,256,649,649,282,503,503,649,649,649,857,503,500,559,502,800,649,500,501,649,350,339,503,501,503,649,800,649,500,502,502,500,503,550,649,501,501,504,282,501,500,800,503,502,649,800,879,800,501,282,800,800,917,500,649,502,501,800,502,503,649,502,649,891,502,679,683,800,501,282,501,501,800,500,282,649,16,800,502,502,800,500,501,282,282,649,649,282,282,502,649,503,649,282,800,107,503,502,282,501,232,500,800,491,500,503,282,649,503,992,503,502,800,503,800,282,501,153,501,502,649,500,800,16,649,500,503,695,800,649,795,282,800,510,500,800,649,800,649,502,502,800,503,503,503,502,503,329,500,500,800,503,977,800,502,800,649,500,502,500,800,649,649,162,501,800,649,282,103,500,16,500,501,503,500,649,503,800,16,800,649,282,963,282,988,282,800,502,649,282,502,649,649,649,504,501,501,282,503,500,282,502,502,500,501,502,501,649,282,500,503,501,501,649,501,800,282,649,649,501,503,649,459,423,503,649,800,920,504,502,282,16,800,500,649,800,503,961,502,501,502,615,501,16,235,502,800,500,800,502,16,282,500,284,800,16,800,130,502,500,649,500,800,800,282,501,649,16,649,644,503,502,500,500,500,503,800,800,503,501,649,501,282,503,504,501,503,501,500,800,504,500,504,800,500,502,503,500,282,649,282,649,800,649,70,649,500,504,800,500,501,500,502,502,282,503,649,889,504,15,500,503,502,747,800,500,800,500,244,502,649,502,689,501,503,649,503,800,800,501,503,16,502,501,800,282,503,503,503,282,500,649,89,16,649,282,500,502,503,503,649,503,649,503,282,501,500,503,501,502,800,649,503,800,282,501,369,502,282,503,502,800,16,502,800,503,503,800,503,800,649,502,16,501,500,501,500,500,107,282,503,500,503,800,927,500,649,649,649,800,501,500,503,500,502,502,501,503,502,503,500,649,503,800,500,502,501,649,471,503,16,501,503,282,282,657,649,298,503,501,500,502,503,501,800,649,500,16,503,503,441,16,503,840,502,501,501,649,800,122,502,500,502,7,500,502,31,504,800,503,502,202,649,497,218,500,649,502,800,800,800,501,503,304,649,503,282,500,304,470,504,501,501,501,800,501,649,800,503,501,800,502,800,502,503,800,503,800,502,107,454,136,800,800,501,649,502,649,501,502,504,500,502,503,501,800,649,405,500,500,502,16,800,500,800,800,189,501,649,502,501,500,869,649,208,501,502,282,501,501,958,503,503,649,282,649,649,800,500,504,501,501,502,800,649,239,800,502,189,800,503,503,690,649,649,501,282,502,103,800,503,282,649,502,503,649,262,649,502,501,500,853,663,501,16,501,500,502,502,107,500,649,800,649,800,502,800,282,649,502,503,800,503,649,500,502,500,649,282,16,800,313,504,500,649,487,502,800,502,500,501,800,502,503,500,282,502,649,943,649,16,500,800,882,649,800,16,282,649,462,800,501,501,649,500,824,500,502,107,502,502,503,501,500,500,501,501,649,500,503,501,503,501,501,691,503,482,503,800,649,501,16,649,503,500,140,800,503,800,206,503,649,500,282,502,504,501,282,503,649,502,500,501,503,500,503,503,504,720,501,502,107,501,800,800,501,649,737,800,500,649,539,503,282,410,502,649,503,500,502,501,502,503,502,502,72,800,502,282,501,503,500,501,501,649,282,501,649,500,800,503,282,800,503,500,649,800,500,282,503,649,501,500,503,502,500,504,502,502,502,500,501,649,503,502,315,503,800,501,758,800,649,501,500,500,246,500,16,239,207,501,502,649,137,503,914,503,501,502,502,800,502,503,503,649,500,800,800,500,501,800,723,500,503,502,504,503,282,502,502,501,282,502,503,649,649,940,500,649,501,800,504,501,649,649,500,145,649,504,800,800,649,501,649,502,502,501,649,800,800,501,649,501,501,800,503,17,500,649,500,500,649,800,501,501,500,945,649,16,282,503,504,500,501,503,500,503,500,743,504,503,178,502,26,501,501,503,649,500,800,649,425,282,800,501,501,649,649,282,502,370,500,282,649,502,528,501,800,502,502,994,502,502,504,372,501,503,800,282,107,649,649,649,500,501,489,503,501,502,604,502,500,500,649,503,501,501,382,649,503,282,502,649,282,649,16,649,387,501,502,503,503,503,500,503,503,501,502,495,502,503,500,282,502,649,503,503,501,500,800,504,649,501,282,502,500,800,501,630,501,502,649,282,107,649,501,502,502,108,16,502,282,503,282,500,502,16,136,282,282,282,503,501,501,800,500,282,504,649,282,502,800,503,501,649,500,500,800,500,800,282,398,503,857,500,503,500,503,503,632,503,378,503,593,282,800,502,282,705,282,500,800,395,484,800,503,500,500,501,800,501,500,500,282,502,649,502,282,282,503,503,503,500,14,501,500,282,800,503,649,502,649,110,503,500,502,649,649,649,649,501,282,502,649,503,501,501,800,502,501,107,502,282,502,860,502,500,501,282,87,649,649,501,502,800,754,16,503,502,282,502,501,503,500,503,502,649,501,411,649,502,16,649,282,503,500,500,800,501,502,501,500,752,649,503,50,107,45,502,800,16,500,502,502,43,501,501,294,800,503,503,503,631,500,104,648,500,502,649,664,502,502,501,501,649,389,649,649,502,500,502,800,501,800,504,500,503,501,503,800,501,124,503,649,500,322,501,705,503,649,649,649,649,503,178,37,282,503,500,504,800,501,800,501,800,705,501,800,503,16,502,649,501,649,649,502,916,800,501,502,500,502,800,502,800,947,503,282,614,107,282,649,106,649,501,649,649,800,503,502,800,649,502,738,282,649,502,683,649,122,19,502,500,501,503,800,500,501,16,503,500,504,906,502,649,500,649,649,649,501,657,503,800,107,501,775,16,282,649,501,503,500,800,500,500,800,16,800,501,503,502,649,571,800,502,351,503,501,282,649,500,500,500,649,503,16,107,282,800,649,501,282,649,800,501,843,500,628,500,500,501,500,649,501,649,800,501,503,800,502,503,501,915,282,500,501,501,282,500,800,649,107,502,649,503,503,503,649,800,152,500,500,501,800,502,501,503,649,502,282,503,502,959,649,649,649,262,800,337,501,502,502,503,503,649,501,501,502,503,502,502,537,501,503,500,502,649,500,800,763,649,500,500,503,503,16,16,500,502,103,199,503,649,501,800,884,501,649,649,649,282,502,501,158,502,649,501,502,500,16,800,649,649,649,649,501,360,649,503,548,282,332,500,329,502,24,502,502,649,649,16,649,501,800,706,503,503,282,737,504,800,142,98,649,501,501,71,502,503,467,500,503,503,282,835,649,649,800,500,501,730,500,16,649,107,282,800,502,501,503,649,501,649,501,649,649,282,800,98,361,503,502,410,500,502,107,503,502,282,502,800,500,501,649,501,503,501,638,502,21,502,16,503,501,503,16,800,502,500,503,501,501,649,501,800,500,649,670,502,800,800,501,500,649,800,501,800,800,489,580,800,800,502,696,501,502,500,282,282,970,500,503,649,282,800,502,490,502,503,800,282,379,800,503,501,501,282,800,107,503,800,103,502,501,502,649,649,800,501,649,800,500,503,649,502,107,41,282,282,502,81,207,501,503,500,503,501,502,501,800,282,800,102,501,500,670,502,649,503,502,501,501,16,500,503,500,500,282,649,649,61,649,267,282,503,800,501,502,502,503,502,800,282,503,504,500,503,502,282,649,800,649,502,503,501,961,502,502,502,800,282,502,282,800,500,502,500,500,800,282,502,501,800,503,800,501,649,503,800,503,649,500,649,500,501,489,649,503,282,503,503,741,103,282,502,503,649,800,500,502,501,800,800,16,500,502,504,502,649,649,502,800,282,800,649,500,649,502,800,800,501,502,282,16,502,800,16,800,501,500,957,501,500,282,501,707,282,500,504,800,649,500,500,800,649,894,500,174,282,649,501,503,500,800,502,501,16,795,501,503,800,502,47,649,800,689,800,504,501,165,282,502,502,649,282,503,501,800,502,107,314,860,502,502,649,282,500,503,649,504,800,503,501,501,800,800,500,501,282,800,649,503,500,503,649,612,979,800,734,504,501,500,503,503,502,501,500,705,500,503,16,503,495,500,502,649,282,282,500,195,649,282,502,649,739,100,502,16,502,990,649,107,500,800,800,800,502,800,46,649,500,503,501,282,771,503,501,649,500,502,107,800,414,344,649,501,902,649,503,649,503,500,16,649,636,502,115,800,649,800,501,800,500,800,282,501,782,800,501,649,800,800,800,502,915,500,65,500,226,800,16,500,500,800,282,800,501,649,649,649,502,517,282,502,503,501,503,501,500,800,649,529,60,800,502,503,282,800,282,436,649,800,649,649,502,597,800,282,649,280,649,649,649,87,800,800,500,503,500,649,504,800,649,800,649,474,649,649,679,282,373,502,800,649,789,649,649,649,733,503,800,800,800,800,649,649,800,16,649,643,800,504,800,356,503,649,503,800,502,800,503,649,503,854,501,800,500,501,282,503,426,501,282,282,372,502,649,800,500,610,16,501,502,282,502,503,649,503,649,379,800,398,501,649,502,800,398,502,800,649,502,503,504,800,299,649,16,649,503,503,282,503,800,800,502,649,500,252,800,649,501,800,501,500,721,800,500,460,501,501,503,500,16,649,649,501,504,501,800,800,500,282,503,649,528,649,500,503,501,16,800,800,502,501,800,560,133,649,16,502,502,282,649,107,282,500,500,103,503,504,30,16,649,503,594,503,500,501,501,282,16,800,501,501,282,502,649,800,501,282,503,500,16,649,853,107,502,649,16,282,16,649,501,16,503,282,503,500,800,282,282,502,16,609,502,500,649,503,501,501,800,503,10,201,500,107,282,627,838,507,440,219,282,16,503,500,501,504,800,800,500,282,800,800,800,649,502,107,501,107,502,282,649,502,649,716,503,501,414,457,649,500,501,541,501,203,501,395,649,649,800,501,282,502,502,282,500,500,649,649,800,501,500,720,500,649,649,503,714,649,503,503,501,503,500,800,500,503,502,649,502,500,800,503,169,565,800,649,502,800,501,800,282,282,170,503,282,500,501,503,282,103,502,500,501,502,501,503,503,817,500,800,502,107,503,501,800,16,649,103,500,800,500,500,800,502,504,502,503,337,800,501,500,282,500,875,500,502,503,800,800,503,500,501,813,501,500,282,500,501,502,500,501,503,649,500,16,502,800,501,107,502,649,639,503,649,503,576,800,800,503,649,502,503,983,649,501,282,135,800,820,282,649,503,800,502,649,503,501,503,649,503,501,800,502,282,501,501,500,503,372,4,800,800,401,649,649,649,140,503,503,502,16,800,436,800,282,500,503,864,86,800,503,500,500,33,503,800,800,503,502,800,502,649,501,588,649,501,282,500,500,649,501,503,282,649,982,171,421,584,649,16,800,501,500,495,649,649,675,69,503,501,503,504,649,559,800,502,501,501,503,501,649,500,500,209,953,501,230,282,649,500,500,649,788,502,649,501,503,502,991,502,800,502,500,502,649,500,503,649,499,501,343,500,800,649,502,502,502,282,282,257,271,503,501,501,649,229,649,500,503,501,649,649,504,500,500,503,649,486,379,649,501,501,503,502,800,800,503,649,502,500,503,503,171,129,811,800,214,800,674,800,500,282,35,501,501,501,502,649,649,649,428,503,263,649,800,502,16,16,503,764,649,501,800,800,502,1,500,800,501,282,503,649,502,503,228,649,649,503,282,501,800,500,503,502,503,503,800,800,386,503,649,807,503,503,800,500,649,282,500,16,16,502,500,500,502,503,502,68,649,503,501,502,52,503,500,503,995,649,500,282,114,500,501,649,503,501,649,282,282,16,959,800,502,800,502,649,34,501,500,807,503,282,503,961,107,503,501,503,500,800,800,177,500,800,501,501,503,500,807,649,800,649,503,502,500,500,649,500,503,504,800,500,649,567,502,16,800,503,796,282,649,503,282,800,613,501,800,503,800,500,500,586,502,835,503,501,282,500,500,649,130,800,503,800,501,503,605,500,649,800,503,649,20,502,503,500,500,501,649,501,649,462,503,649,800,502,634,503,800,649,500,16,502,501,501,502,500,500,502,503,503,501,503,502,649,502,87,107,107,16,800,649,649,180,31,502,282,502,504,502,282,16,501,16,500,501,282,500,503,500,282,800,502,501,502,800,500,48,503,312,317,502,107,502,649,649,282,964,503,503,649,500,501,501,503,649,500,236,509,800,649,501,800,121,952,503,503,800,342,503,582,500,92,501,501,586,503,800,282,649,503,103,500,501,502,503,649,600,503,800,502,502,282,844,501,500,500,503,16,16,177,43,649,501,459,501,800,502,569,502,800,504,282,501,282,282,93,500,501,504,500,712,800,500,282,282,501,465,503,796,504,957,895,503,800,649,868,859,500,16,16,502,800,951,500,500,649,800,254,501,649,500,649,500,481,649,509,649,500,503,718,502,503,500,500,614,800,501,748,500,282,502,503,503,503,800,649,16,500,800,16,503,502,649,282,649,500,800,500,99,649,334,807,149,503,800,800,649,501,502,502,16,501,813,500,501,16,500,800,501,468,282,800,503,504,502,501,282,502,859,282,649,16,502,503,503,649,649,504,649,502,501,927,503,256,502,323,501,92,800,502,502,649,503,16,800,800,503,500,501,507,594,504,202,501,503,16,501,500,649,502,504,282,282,503,649,500,800,501,502,500,503,501,501,649,107,502,500,482,606,502,501,501,502,500,649,503,289,490,800,503,500,282,502,501,500,649,649,502,282,501,504,502,501,503,649,500,787,649,500,885,501,151,503,501,800,501,800,503,500,649,800,503,500,503,502,705,500,107,500,357,500,392,800,800,967,501,500,501,501,649,502,532,103,502,649,502,502,500,500,503,500,502,502,649,500,503,649,576,502,501,16,501,502,500,769,282,282,500,649,649,502,800,503,719,501,501,503,504,503,16,503,502,800,800,503,800,649,504,502,649,502,500,501,800,800,500,501,649,597,800,649,282,282,502,500,501,282,502,373,501,282,501,500,502,800,282,628,503,501,649,282,864,501,282,500,502,644,501,503,666,500,500,501,687,282,649,800,16,502,500,16,502,500,299,503,500,503,574,503,800,587,503,800,282,282,157,649,649,649,502,500,500,649,142,800,649,649,148,501,649,16,649,649,649,503,649,500,800,501,282,500,713,282,800,282,800,649,502,649,649,503,69,16,501,800,502,500,282,502,502,800,503,502,649,500,503,500,503,800,465,282,503,800,800,749,649,500,649,500,649,503,502,649,282,501,282,501,800,501,503,502,500,800,502,503,500,501,500,500,255,356,800,501,107,800,800,649,107,649,503,338,503,649,502,503,730,502,16,800,502,503,800,16,282,649,800,769,107,504,282,500,649,501,503,577,502,500,502,501,282,502,800,503,282,282,800,800,502,841,649,500,282,800,500,800,502,482,649,649,800,501,502,740,501,501,503,500,500,649,503,503,16,502,502,282,502,503,282,500,503,210,649,282,16,16,282,847,282,501,970,503,16,502,502,649,800,800,597,503,800,502,502,503,503,504,649,107,282,192,500,501,800,800,696,503,482,503,501,503,800,502,503,500,503,649,16,501,503,503,649,282,501,500,800,800,800,282,800,800,958,503,503,504,500,282,501,268,960,500,500,649,649,501,282,282,501,501,503,500,501,282,171,502,500,503,500,502,502,548,502,500,500,503,649,649,500,800,800,843,502,502,649,800,800,649,282,500,503,282,502,16,817,339,502,502,282,504,171,504,649,937,503,503,342,800,649,501,501,455,500,282,247,800,800,503,501,501,649,500,800,501,649,503,800,500,800,502,504,205,800,622,501,503,107,800,502,501,501,500,501,501,282,500,501,469,649,502,503,282,649,501,800,503,649,282,500,800,282,503,800,501,649,800,503,649,649,649,649,503,282,800,800,503,649,501,649,500,800,502,649,88,800,282,500,17,282,999,500,501,249,282,800,501,500,577,544,502,503,503,503,800,500,501,501,282,502,800,503,649,649,800,501,649,501,282,502,502,649,501,606,800,500,649,174,800,219,502,800,503,16,501,502,649,500,758,800,501,501,502,282,503,649,500,800,503,500,501,501,501,503,800,649,396,649,502,416,500,504,800,502,166,649,800,503,503,282,282,282,500,649,503,800,131,501,204,649,500,500,800,800,969,501,502,649,500,546,502,649,503,649,501,501,33,233,502,503,501,501,800,800,103,503,103,649,500,34,501,649,500,290,27,649,800,500,503,502,649,503,800,503,501,500,501,649,503,79,800,503,282,503,503,107,504,500,501,503,44,649,501,107,503,502,502,500,516,800,649,502,339,500,282,103,82,501,501,502,800,649,649,16,649,501,502,800,287,503,502,594,800,326,649,800,504,500,649,500,800,503,501,502,500,500,800,800,503,358,649,403,503,501,502,503,154,500,502,500,502,501,500,500,16,958,503,502,649,500,501,800,511,854,503,501,649,502,800,649,501,282,503,503,240,500,501,852,500,503,501,800,504,500,814,502,502,503,503,800,500,649,800,800,500,502,501,800,500,503,324,282,501,800,649,501,800,800,800,501,500,502,502,501,504,649,854,807,16,503,282,502,500,502,800,800,800,501,500,504,501,327,649,502,161,176,649,800,649,502,800,282,502,649,282,649,382,649,481,501,502,800,502,501,800,649,282,904,501,282,16,521,504,973,501,649,502,502,502,282,800,504,645,503,502,800,649,502,534,503,500,501,16,503,951,649,649,800,649,502,800,649,282,415,282,649,649,504,800,800,800,840,96,108,500,800,978,649,500,800,504,502,502,502,501,501,501,649,282,441,800,282,503,649,503,503,500,500,500,500,502,503,107,594,282,501,500,500,503,501,500,802,800,504,800,649,282,15,501,501,500,500,501,649,502,649,503,500,377,500,282,800,16,503,282,649,16,503,501,800,503,354,502,649,500,800,16,500,502,502,501,502,282,502,800,649,282,503,259,649,16,649,282,649,502,800,800,649,503,800,502,282,800,869,649,800,503,649,649,502,503,501,577,500,706,107,282,503,251,800,649,501,649,503,920,649,501,500,930,501,502,500,502,501,502,500,502,800,501,884,800,282,625,649,649,16,501,503,649,500,800,501,107,500,649,55,649,501,501,503,800,16,800,611,500,504,500,504,500,38,503,502,649,800,500,649,625,649,500,502,70,500,800,800,502,501,502,501,503,502,502,189,649,501,103,502,501,800,800,501,500,502,841,501,501,649,502,800,977,502,502,502,503,504,502,800,502,649,503,502,500,800,649,500,501,800,16,800,502,501,649,649,359,199,658,502,500,407,565,501,500,503,503,502,545,282,800,649,503,672,800,282,503,16,501,503,649,503,800,501,539,502,800,649,503,282,500,800,649,279,242,97,16,502,800,502,500,107,503,500,800,800,800,504,502,501,502,649,282,502,503,503,501,901,800,282,502,504,800,649,501,500,800,501,504,501,649,500,649,838,500,503,800,502,800,649,804,16,649,800,282,800,502,501,622,16,282,649,504,114,800,649,800,800,504,103,563,501,502,501,649,503,649,500,707,649,503,649,501,17,649,800,374,502,773,503,649,649,381,649,503,501,16,649,649,12,800,800,800,374,501,504,502,649,649,800,800,501,502,503,501,282,501,501,649,800,800,503,501,649,800,649,503,703,503,800,500,503,649,501,649,501,364,503,16,649,503,503,800,502,800,500,500,627,75,800,442,649,282,620,502,649,500,800,502,500,501,800,501,500,800,649,282,503,501,800,16,800,503,420,503,502,501,500,107,107,502,503,649,501,800,107,676,501,502,649,792,500,504,503,800,501,282,649,959,649,16,503,502,501,501,501,503,649,503,500,800,800,500,282,501,503,800,690,500,502,502,502,654,500,501,824,649,502,503,649,500,266,502,503,501,649,504,649,649,734,649,502,800,503,282,103,973,649,649,501,500,500,501,649,649,800,800,107,503,503,503,800,503,282,807,500,502,503,501,502,926,282,502,282,503,501,800,282,800,800,502,503,649,502,649,503,503,501,503,800,649,398,282,800,649,501,282,500,649,649,500,282,502,502,649,117,800,124,504,282,500,800,649,282,501,649,503,504,282,800,500,500,889,649,503,16,16,500,649,501,502,500,835,501,503,488,649,424,649,649,646,500,501,622,500,90,502,800,400,282,800,501,503,800,804,282,649,500,800,501,502,500,503,16,703,500,649,500,615,501,800,500,501,800,503,500,649,500,500,501,649,503,501,800,501,649,503,503,502,503,503,501,501,649,500,502,282,500,501,500,800,503,649,503,649,502,282,282,800,800,501,501,649,649,500,503,504,759,800,730,649,649,503,754,500,504,551,502,110,649,503,501,501,800,502,649,649,502,503,502,800,501,800,800,500,503,725,913,999,68,501,649,800,501,149,503,800,500,649,649,500,705,649,503,500,800,649,649,501,501,282,800,503,503,800,500,800,96,502,649,800,649,800,684,500,976,501,502,501,282,501,800,504,500,800,344,800,689,649,503,649,501,800,501,649,649,649,800,502,502,282,502,649,500,501,501,800,825,144,503,501,800,501,500,502,500,501,282,503,800,502,57,483,555,502,500,800,504,282,503,503,503,503,382,649,800,282,103,800,282,502,800,500,500,282,500,282,502,503,854,503,103,501,445,502,649,502,500,500,504,800,800,502,800,649,282,503,800,800,502,501,502,649,727,649,649,800,649,649,649,500,500,807,649,800,649,800,649,24,503,500,907,500,852,504,500,501,681,800,649,502,501,800,282,649,502,500,166,502,16,282,649,800,800,500,500,502,503,800,253,502,649,16,282,107,800,282,800,282,503,649,649,542,503,503,503,800,282,500,501,504,503,500,500,500,502,282,503,500,503,503,800,502,649,501,329,358,503,502,69,501,503,500,501,625,500,649,501,503,500,501,16,649,503,501,502,107,800,100,502,800,504,500,282,500,501,502,500,502,503,500,649,117,503,948,649,16,504,503,649,503,800,649,502,501,503,282,756,501,503,503,342,16,501,741,503,16,800,164,503,800,501,503,500,705,503,103,542,649,800,503,501,907,501,502,800,503,959,503,328,503,501,500,502,502,229,41,649,53,501,282,649,800,503,800,503,503,103,502,641,16,500,800,501,501,800,501,503,503,59,903,368,533,1000,503,649,503,800,16,16,800,502,282,800,335,501,282,649,126,502,503,500,973,800,500,282,103,502,854,649,500,649,274,218,503,800,501,800,649,500,282,605,500,819,503,649,502,501,800,501,503,800,503,800,649,649,501,500,503,800,502,503,249,16,500,503,16,649,458,282,800,501,800,649,501,500,985,800,649,500,649,503,985,649,942,502,500,500,700,500,504,649,649,502,502,501,720,500,282,501,282,649,649,503,282,503,502,770,800,842,95,502,649,800,502,501,16,501,502,282,497,503,500,800,649,502,502,282,800,502,503,503,282,503,16,500,501,800,504,282,83,501,649,502,503,500,501,501,503,649,502,502,502,503,649,500,282,649,649,503,503,502,500,502,502,500,503,500,932,282,501,800,500,948,503,501,800,649,503,282,557,502,159,800,800,502,500,502,800,925,155,800,501,362,282,500,502,502,501,282,500,16,282,501,503,500,503,501,502,649,167,730,503,501,649,649,502,16,500,282,500,107,649,649,282,649,502,226,501,16,824,503,503,500,730,649,502,503,649,800,248,503,800,649,500,500,502,500,500,501,502,649,503,800,800,502,502,799,503,800,500,501,413,800,800,649,500,183,649,649,503,282,502,500,502,502,500,503,504,503,503,501,500,107,503,501,282,502,501,503,502,503,501,649,503,501,500,16,649,594,501,800,572,503,800,500,800,501,501,503,649,282,800,503,800,501,282,800,107,16,800,500,501,503,501,501,649,282,500,649,649,503,500,503,503,501,649,497,502,649,800,649,501,502,500,500,649,649,500,282,800,503,503,503,781,649,649,501,500,800,282,503,501,503,502,649,501,500,502,16,649,556,225,502,282,282,800,100,800,16,503,501,800,501,800,649,16,501,502,248,501,501,502,501,800,800,503,501,282,705,503,282,501,649,282,500,501,800,502,649,16,503,794,500,390,800,800,800,800,361,16,590,800,16,800,649,800,649,649,502,800,502,122,800,502,16,502,800,502,800,501,800,658,502,500,503,501,502,649,502,649,649,649,501,800,503,800,649,500,502,649,800,503,800,500,800,800,502,282,649,501,503,800,501,503,800,649,649,500,503,800,800,503,800,282,500,500,503,800,800,500,649,16,504,800,502,502,500,12,800,502,500,503,649,503,917,649,649,312,16,514,282,502,800,500,649,502,503,502,398,502,282,649,502,16,502,282,502,821,649,235,800,16,502,503,160,502,501,732,103,502,500,500,97,282,500,502,507,500,633,502,282,649,503,800,501,503,282,800,649,500,901,744,282,649,800,501,649,649,500,502,502,503,500,502,282,502,649,503,502,500,503,282,502,500,501,502,502,503,308,501,649,282,502,504,800,502,768,800,500,501,482,502,649,16,502,503,502,649,502,103,500,500,501,800,503,504,800,503,46,502,503,500,500,353,500,501,133,282,503,107,502,500,502,500,800,500,800,807,16,500,502,504,800,500,502,503,503,501,800,501,649,501,502,501,16,800,990,238,649,501,950,500,501,502,500,800,16,502,649,649,649,107,501,800,800,730,502,282,649,501,501,500,292,800,500,500,649,649,800,800,649,881,693,107,501,501,503,403,501,649,502,649,501,503,649,501,501,502,501,16,500,800,501,282,649,504,501,501,501,502,712,500,502,503,502,501,282,800,501,282,282,503,502,282,502,501,800,501,501,502,502,502,500,501,705,501,500,500,502,168,103,501,500,504,282,282,500,515,800,282,649,359,501,502,459,501,500,800,502,504,800,154,800,800,500,500,500,501,649,649,500,290,800,16,503,503,800,502,500,502,649,501,503,282,161,649,649,502,502,502,501,500,648,500,102,501,649,501,171,800,500,500,800,584,800,500,502,500,800,800,875,502,756,282,503,649,503,500,500,500,800,282,649,649,501,649,500,501,504,16,16,503,690,107,500,502,649,649,649,16,649,500,800,178,503,686,649,503,500,500,502,503,883,503,501,503,282,649,500,16,800,800,503,282,16,503,500,504,503,488,500,800,501,355,986,501,649,501,800,501,800,800,501,800,503,502,933,501,500,282,800,503,649,503,503,649,503,464,501,270,501,501,16,723,502,503,231,502,500,502,500,649,649,429,800,800,503,503,500,500,869,503,282,649,956,502,503,500,649,500,500,503,800,16,503,502,503,282,737,500,800,282,500,503,502,282,503,500,503,502,282,985,649,501,649,501,500,948,800,800,503,800,872,800,800,500,502,800,614,503,800,503,502,503,87,502,501,800,500,504,501,503,502,631,649,800,649,500,502,500,33,501,944,800,502,800,437,502,500,503,503,333,16,501,501,649,331,649,719,16,282,500,500,502,501,503,649,282,758,502,500,649,500,649,649,282,967,502,918,800,493,502,501,502,800,474,649,504,501,504,500,502,502,649,501,502,649,649,501,282,502,502,504,649,282,501,504,649,501,538,800,649,649,503,800,500,282,800,503,800,649,501,501,503,649,649,501,500,503,502,259,501,66,503,502,331,649,500,920,800,800,137,501,502,500,282,502,502,282,503,282,502,800,502,502,502,502,502,503,500,649,649,500,504,649,503,800,649,798,503,502,800,503,503,649,800,502,500,904,501,502,504,649,800,212,503,800,503,503,501,649,649,502,649,502,613,649,500,503,501,502,752,503,500,503,217,502,502,878,713,649,16,649,649,503,649,649,503,282,649,502,282,500,526,282,501,500,649,502,502,502,618,500,104,649,501,282,800,502,380,800,501,16,759,94,502,800,501,502,500,800,503,800,501,167,649,649,503,336,363,503,856,503,500,501,800,649,649,16,500,800,500,282,502,502,649,649,503,649,320,503,16,649,725,16,367,503,649,966,676,16,503,501,800,503,649,501,463,504,800,282,670,800,800,502,504,504,500,503,214,853,478,317,502,500,649,800,503,649,502,282,771,16,31,107,500,800,500,503,502,800,338,500,500,940,16,502,502,502,502,800,800,503,649,536,503,282,501,649,500,502,503,282,502,800,502,503,800,503,800,535,504,502,442,500,813,649,503,503,771,260,502,800,649,501,800,839,621,282,649,503,503,500,282,172,503,502,501,649,800,501,502,649,282,98,525,800,503,244,503,502,501,503,282,504,502,649,502,502,501,502,656,282,503,871,502,501,503,800,501,503,282,503,72,500,649,282,502,500,231,282,649,800,649,503,800,502,502,649,504,500,800,649,281,800,282,502,501,515,502,800,849,501,800,501,500,389,503,503,182,502,193,502,500,800,500,518,502,502,503,502,503,501,501,501,800,500,87,800,800,502,800,502,800,649,800,800,500,502,581,503,282,282,500,503,503,194,567,800,501,654,800,16,800,649,502,503,500,500,282,500,800,503,103,282,503,502,500,503,282,364,800,500,282,505,501,282,771,649,503,502,890,16,503,800,501,649,800,282,501,546,800,501,500,107,800,800,649,503,649,282,502,800,649,282,978,875,502,157,501,572,810,503,800,649,501,500,107,503,649,501,16,649,800,800,556,503,545,282,500,502,800,503,282,16,500,500,649,947,282,500,649,500,185,649,501,500,501,658,500,500,282,500,926,503,502,282,502,649,282,995,800,649,649,503,160,500,500,649,800,503,649,500,800,16,500,800,800,800,501,502,682,503,649,800,800,649,501,282,501,649,502,800,503,649,502,501,502,649,649,500,825,502,114,282,503,502,282,282,503,282,501,500,500,503,649,800,502,282,500,16,503,500,501,503,649,502,504,772,649,503,502,501,500,649,503,389,500,503,500,500,282,649,501,649,501,64,501,649,503,500,635,649,503,800,649,502,800,282,500,503,102,800,500,503,501,502,502,282,500,660,501,500,501,649,503,502,503,501,282,503,646,649,581,501,158,866,282,216,502,502,502,501,501,567,502,501,501,649,352,800,649,500,800,494,500,502,649,502,503,282,282,502,649,501,502,503,503,649,503,503,503,838,180,800,502,500,800,800,608,502,502,16,503,107,103,800,800,800,500,500,500,500,800,16,649,504,800,649,500,649,102,502,800,800,282,800,500,503,800,387,800,800,282,282,649,503,800,500,800,819,502,800,502,649,504,282,502,800,501,800,78,800,64,800,108,502,649,500,800,502,500,649,800,330,800,503,722,500,739,800,500,503,503,800,501,500,800,800,501,800,502,800,503,800,837,502,500,800,503,503,501,649,549,16,800,282,800,503,282,502,800,500,501,947,107,500,282,128,501,649,649,502,501,981,282,503,649,649,503,501,500,503,500,282,894,154,649,649,502,41,649,800,502,282,502,502,502,500,501,500,504,500,502,16,501,825,503,500,500,649,16,502,668,502,500,690,501,798,800,503,649,500,800,504,501,649,800,500,649,282,500,502,502,567,282,501,16,649,390,394,88,502,502,503,501,504,502,800,504,502,239,501,502,58,800,649,503,630,501,649,649,503,502,800,503,800,503,800,800,649,501,282,510,500,502,649,649,503,501,503,501,16,800,500,267,649,503,347,649,800,676,649,500,502,282,503,503,243,649,502,800,501,501,280,503,282,500,503,201,503,500,423,500,16,262,502,500,385,502,810,500,501,800,296,301,503,503,501,800,234,282,800,74,506,502,501,800,503,487,502,503,501,500,502,501,500,503,674,824,500,501,800,800,502,800,502,800,649,504,800,282,649,503,503,500,500,504,649,500,551,16,500,502,503,800,282,500,314,501,501,502,649,500,16,800,501,282,235,502,887,500,503,649,649,500,503,500,501,501,502,503,737,502,503,800,503,649,501,500,503,503,800,502,503,500,503,929,500,501,500,502,500,800,501,501,501,500,503,500,446,500,500,800,503,501,503,503,500,500,731,800,502,501,282,503,762,800,502,502,503,501,800,501,286,502,800,501,503,16,503,502,282,502,501,501,503,500,502,504,500,503,800,164,498,16,619,153,503,503,800,502,500,649,282,800,500,503,500,800,800,502,500,54,282,500,502,282,282,800,649,223,282,649,649,501,784,500,501,503,502,501,500,501,282,502,649,502,800,503,711,500,503,800,800,501,500,502,502,800,500,503,33,503,503,649,500,501,501,800,870,502,40,502,503,800,501,500,503,649,800,800,502,800,767,502,502,501,502,501,502,502,800,649,800,502,502,649,282,282,800,800,314,500,500,800,502,500,16,934,500,503,503,501,649,502,502,501,253,791,501,500,503,542,502,503,649,500,800,503,649,501,500,502,800,800,500,502,441,502,500,502,503,800,503,649,936,501,800,500,501,375,103,282,502,501,502,686,800,502,504,134,500,800,800,530,502,107,704,502,504,282,800,500,282,16,501,501,503,502,500,282,117,800,800,824,504,500,500,501,800,503,800,502,502,502,238,502,649,649,501,500,282,500,867,501,503,800,502,500,649,800,502,501,503,503,800,649,503,451,895,334,800,800,500,107,649,500,800,502,649,503,501,502,16,649,107,501,917,16,649,404,800,800,503,761,501,649,502,502,113,503,800,501,500,107,502,649,502,16,500,502,503,106,501,502,502,500,500,500,500,501,873,503,930,915,501,500,503,16,500,649,731,502,649,501,800,502,500,529,800,103,503,30,282,453,503,501,501,800,649,800,351,502,168,649,501,649,503,500,649,500,503,502,649,501,103,500,500,502,16,502,561,500,649,278,649,500,500,500,502,800,649,350,502,500,649,503,16,500,501,500,502,501,500,501,649,502,649,500,502,649,649,501,500,500,901,636,649,216,502,282,649,370,16,649,218,800,502,800,800,549,282,500,503,16,503,800,502,500,327,626,800,502,502,195,800,282,103,221,800,800,501,800,502,16,502,503,166,282,503,501,649,500,282,500,500,800,192,504,107,649,501,503,800,649,800,500,649,500,16,500,503,502,504,16,523,502,501,500,16,800,500,649,649,501,16,501,649,501,649,697,109,503,649,500,853,500,800,504,503,649,800,666,501,501,16,966,649,800,502,503,500,800,429,501,501,649,766,503,500,500,800,501,800,502,500,502,501,282,501,502,504,500,649,503,500,16,503,503,501,500,500,501,103,502,978,501,503,703,282,501,649,800,503,282,502,500,501,501,800,500,649,500,649,809,503,502,500,800,501,500,502,500,800,800,800,282,502,500,800,649,502,500,503,502,800,979,501,649,502,502,714,502,500,502,800,500,649,800,282,501,282,800,649,501,501,649,800,16,282,282,649,502,502,800,649,282,501,494,500,560,501,800,501,502,800,501,503,649,502,800,282,502,649,282,503,291,500,503,649,500,282,500,503,282,503,500,21,800,816,500,500,800,503,800,504,800,800,501,501,100,649,16,501,501,347,649,85,501,503,239,500,16,16,501,649,501,649,649,500,501,683,501,501,503,501,800,800,500,282,501,341,503,649,649,282,500,501,60,115,501,504,500,999,501,800,325,107,500,351,161,649,282,500,502,16,503,913,502,503,500,536,503,282,649,649,501,500,502,500,503,500,282,649,800,500,500,649,781,502,828,800,503,577,503,800,501,898,649,503,500,502,500,502,649,500,855,501,502,800,259,800,503,60,649,501,800,282,502,800,649,411,503,502,282,503,16,501,501,502,501,503,503,501,501,502,500,282,500,502,500,282,502,500,282,502,282,346,649,800,500,502,708,500,502,649,320,282,503,501,503,501,500,649,649,500,502,502,107,700,800,501,800,732,500,853,501,503,800,502,501,503,282,737,691,800,16,649,502,503,341,282,649,135,800,800,705,282,649,501,800,500,504,800,649,649,502,282,503,800,503,503,800,503,502,500,800,282,649,501,16,800,800,500,800,800,800,649,327,428,649,107,501,502,501,501,503,500,16,800,500,282,649,500,504,5,649,119,282,547,501,800,501,502,820,800,800,502,501,503,800,649,501,503,649,234,500,500,502,649,501,500,503,649,502,504,451,503,500,300,282,881,649,502,282,589,500,502,502,502,527,500,800,282,503,282,227,501,282,282,16,649,800,501,503,501,500,800,503,500,649,282,800,16,649,840,255,800,503,501,500,502,504,800,500,503,501,503,107,501,502,500,504,501,731,16,503,649,768,282,421,502,501,676,503,103,800,501,649,501,502,503,650,504,800,501,500,503,649,502,16,500,16,500,649,712,502,502,504,649,800,800,726,649,282,649,501,503,501,500,501,500,503,502,716,503,503,503,503,503,502,500,649,502,795,282,502,503,649,649,501,649,501,502,502,500,649,185,815,502,503,501,800,500,649,501,500,649,461,282,502,502,500,649,107,503,800,282,738,800,415,649,502,800,649,502,503,501,649,282,800,500,503,501,503,649,649,800,736,501,502,144,502,501,501,503,25,501,500,501,501,16,536,800,503,500,503,501,705,130,282,501,34,500,503,502,503,649,501,503,500,500,800,649,649,800,502,800,107,501,282,16,501,502,649,503,503,503,501,649,649,503,503,503,500,502,502,439,500,800,649,503,800,209,649,501,800,649,502,503,800,500,503,800,282,282,503,500,321,502,790,503,500,800,32,503,107,502,649,800,768,348,282,800,800,503,502,503,500,800,500,800,534,656,501,282,502,16,282,501,772,800,500,16,503,223,282,502,503,501,503,282,503,500,649,500,649,800,943,502,501,649,502,800,196,501,503,500,501,16,310,800,702,500,500,500,800,502,501,501,502,500,503,756,822,576,800,282,501,504,503,72,649,500,502,220,649,800,500,649,739,502,282,503,978,500,649,784,800,784,125,501,503,800,502,800,800,800,503,649,800,800,504,503,503,501,800,649,500,500,800,107,500,503,500,245,800,800,649,800,500,502,282,501,501,282,504,502,502,414,501,649,500,503,216,705,503,800,16,649,30,501,500,501,503,502,800,501,649,473,501,424,526,501,282,503,807,501,649,503,282,16,837,707,502,501,898,502,503,52,500,503,503,500,502,501,800,649,502,501,501,649,315,800,649,500,282,501,501,502,503,800,502,502,503,800,282,958,502,500,800,502,546,500,282,502,502,800,800,502,649,401,503,501,16,500,503,503,500,501,649,500,501,501,649,501,282,107,504,304,502,800,889,502,644,113,800,501,501,800,502,649,503,503,503,503,503,371,500,502,503,503,800,503,649,702,282,439,800,501,700,503,800,503,503,649,282,502,649,502,501,800,500,502,502,502,501,649,503,800,504,376,412,500,12,502,800,800,500,107,500,503,500,826,530,391,501,502,501,645,800,800,800,800,500,103,800,500,500,649,501,16,502,364,649,503,503,282,503,16,533,649,500,800,649,501,502,502,649,500,807,503,649,800,800,649,800,649,501,501,502,503,321,800,502,501,500,501,649,800,282,500,502,502,784,649,500,800,800,501,501,809,800,355,501,500,504,502,929,907,500,503,501,103,502,838,503,803,501,502,245,649,501,501,800,502,649,282,502,649,800,476,501,800,504,502,649,649,291,103,501,501,502,501,501,800,800,107,501,262,49,500,501,500,800,649,502,282,800,502,502,501,48,649,501,106,503,16,500,501,503,282,649,649,785,800,800,501,800,500,32,933,502,500,500,503,800,503,503,16,800,500,301,602,501,354,544,800,502,80,282,102,501,649,16,500,649,503,501,760,16,503,282,649,501,503,500,503,777,282,502,865,800,503,927,421,501,649,501,800,502,500,500,649,800,800,503,649,649,500,500,500,800,503,649,503,477,800,502,282,800,649,501,16,502,282,502,649,649,504,800,501,649,503,800,500,503,649,800,503,502,501,503,649,500,800,855,501,649,16,503,800,500,624,800,687,503,649,871,501,502,800,800,282,138,800,503,501,305,649,380,501,282,501,502,278,501,501,54,500,800,649,53,500,503,649,501,800,872,503,822,649,502,649,502,503,503,649,500,502,649,100,282,503,649,503,16,502,501,503,501,503,501,16,649,500,649,16,800,502,649,503,503,649,282,800,501,996,722,503,502,800,92,500,501,649,500,500,503,14,501,501,500,503,649,829,540,831,501,500,649,800,282,502,502,649,285,800,800,265,649,649,501,501,800,503,16,649,16,500,502,503,501,800,549,503,800,649,649,500,860,502,743,649,649,282,500,503,500,649,501,282,502,800,83,501,503,800,501,800,501,503,800,503,961,502,282,503,502,800,504,503,800,282,219,502,501,503,977,503,800,800,500,266,500,502,649,649,800,503,649,501,282,501,556,800,501,107,501,800,649,435,800,501,503,45,503,500,681,788,500,282,649,800,502,501,282,327,503,649,501,800,501,503,282,649,649,501,501,500,649,503,501,501,502,501,282,26,501,502,800,500,800,502,501,503,500,503,501,501,501,649,282,800,502,92,503,331,649,502,501,501,502,501,107,500,501,503,649,649,833,849,503,502,16,502,503,26,649,103,502,503,800,199,47,800,758,881,16,649,502,282,502,800,649,649,16,504,501,649,800,800,800,649,503,500,502,879,800,500,502,800,500,501,649,503,503,800,649,502,503,502,500,500,800,16,503,503,185,649,502,282,501,503,523,649,649,800,502,282,282,501,800,500,282,503,800,500,503,501,501,800,654,502,282,503,800,800,500,800,501,500,649,649,503,504,503,282,282,501,649,419,500,800,800,99,16,502,503,649,503,503,500,282,501,503,503,500,502,800,501,504,500,504,500,731,608,217,504,504,16,129,503,503,500,649,282,989,181,282,800,502,503,501,649,502,800,502,502,502,502,346,503,500,800,503,502,800,800,502,729,503,282,500,651,501,473,649,500,282,501,282,16,503,502,649,523,950,501,500,649,107,500,503,501,282,500,501,500,502,503,282,501,282,500,283,500,500,500,282,501,500,500,800,649,800,503,500,501,502,501,501,649,500,649,107,501,501,501,800,282,502,503,500,16,500,500,649,649,502,502,502,649,824,800,800,503,576,504,649,503,504,649,500,800,503,649,800,649,598,501,955,282,501,502,502,282,503,501,502,502,501,649,649,500,501,500,800,800,800,649,649,759,502,500,500,501,503,800,501,649,503,636,503,502,500,649,500,503,500,800,501,502,501,800,800,503,800,4,824,948,502,282,501,929,991,800,800,500,800,501,800,282,442,503,16,16,503,500,500,800,649,501,800,502,503,501,649,775,800,501,186,322,501,16,502,800,649,649,502,502,123,502,282,800,800,965,800,649,500,649,800,503,501,503,282,282,800,359,500,500,501,503,502,800,103,501,282,315,500,501,502,504,502,503,649,502,503,649,800,282,649,501,282,649,503,503,501,649,501,504,593,800,282,502,504,503,649,452,800,500,282,676,500,800,976,800,107,306,503,500,500,649,500,500,16,800,501,800,503,500,800,500,502,649,502,502,500,504,16,800,649,107,503,503,16,500,800,503,502,967,503,649,649,502,800,501,501,501,282,649,501,649,649,501,503,800,107,500,502,649,800,439,800,947,500,16,827,501,37,101,282,501,769,501,649,503,501,800,500,501,649,503,583,16,800,503,503,202,282,500,501,500,16,504,500,503,504,649,666,800,501,649,649,500,800,800,74,569,503,107,282,649,800,503,800,503,649,503,800,800,103,503,800,649,501,502,103,503,647,500,501,502,502,503,497,878,502,649,500,649,500,501,501,502,501,501,649,501,503,256,573,504,502,502,503,502,800,500,502,501,501,502,649,502,777,502,500,502,282,503,120,501,501,502,282,800,502,649,500,649,492,70,504,652,496,282,16,500,649,282,649,502,501,500,501,649,197,840,503,500,500,649,103,500,282,503,649,3,543,502,649,800,800,501,503,500,501,503,502,827,501,800,503,800,649,503,800,500,501,502,649,503,503,255,90,501,500,501,800,800,371,502,649,501,501,502,800,800,500,500,240,649,501,649,862,649,306,649,502,500,781,649,709,649,501,501,649,649,282,800,503,503,501,500,800,649,705,500,184,503,500,502,560,16,800,502,307,800,69,183,649,502,649,649,501,503,503,501,500,649,501,502,649,503,649,800,503,649,651,649,500,501,285,502,501,705,500,503,918,502,705,140,800,501,503,500,500,502,282,502,649,282,16,282,500,649,16,501,628,502,500,500,800,16,767,282,503,282,503,503,649,649,16,800,501,351,503,743,800,800,282,438,649,502,649,501,500,649,649,500,16,649,440,117,649,939,800,501,503,282,282,503,501,16,502,649,649,503,503,649,502,16,649,500,501,501,606,502,800,503,800,800,504,800,800,501,502,501,501,800,800,282,502,502,502,502,800,502,501,282,800,820,733,649,800,503,649,348,503,631,800,649,800,502,502,800,502,502,500,813,280,503,800,282,501,16,504,649,500,282,501,501,501,649,500,503,503,282,503,500,800,503,502,502,503,503,503,649,503,28,800,501,500,371,800,649,503,282,800,502,282,847,501,500,16,502,500,502,501,649,500,503,502,649,501,500,313,500,649,649,502,63,500,16,500,386,500,816,501,800,649,502,501,282,501,800,501,800,502,500,502,649,800,501,649,574,503,16,503,502,800,501,649,500,649,649,502,800,649,501,649,16,79,503,502,800,502,500,501,75,502,502,107,501,501,800,503,503,649,503,16,500,800,500,504,502,503,800,500,622,502,967,501,303,500,501,502,500,800,502,797,613,800,500,649,502,800,800,282,649,649,929,800,503,103,813,649,996,503,503,282,502,649,754,549,500,503,800,500,649,800,282,800,502,502,649,773,800,800,503,800,502,735,649,503,502,649,800,503,16,502,649,84,800,501,16,282,649,500,501,503,500,501,282,649,501,504,501,516,502,800,649,500,586,649,502,501,649,503,503,800,452,501,452,800,503,501,502,800,574,597,500,282,501,282,146,501,500,16,649,500,503,143,836,503,502,501,649,500,800,500,501,103,282,504,649,103,53,800,500,800,800,16,107,800,502,427,502,501,503,500,502,649,502,800,16,500,649,500,500,16,585,502,649,800,501,501,327,502,16,500,503,649,16,502,502,503,501,504,501,120,649,500,910,509,800,502,500,649,282,502,800,899,282,503,501,500,501,502,282,500,649,282,502,500,282,282,16,800,502,503,500,502,649,500,500,800,800,500,649,282,503,649,237,501,503,705,501,800,501,578,504,503,502,854,602,649,649,214,255,905,830,504,503,503,38,800,20,502,500,649,16,800,800,500,800,282,500,500,649,649,503,504,502,503,800,800,800,502,649,502,16,502,800,16,107,237,504,649,501,282,503,500,890,16,800,500,501,502,107,502,502,912,503,500,501,282,800,504,503,926,800,16,503,800,800,16,500,502,503,649,282,477,501,800,649,649,800,500,501,16,500,710,501,439,800,500,649,502,800,965,16,503,501,282,503,649,649,800,503,800,502,502,282,574,501,502,649,501,800,503,800,503,503,282,800,501,800,502,503,502,593,16,503,617,502,504,500,500,649,502,16,503,800,503,649,621,503,800,649,502,502,501,649,501,816,502,649,800,649,296,282,284,649,282,649,502,503,502,282,503,501,282,502,649,739,501,502,228,318,800,501,501,649,502,503,800,502,807,800,500,503,800,501,800,649,649,800,800,282,502,500,500,649,502,502,502,503,170,503,500,502,503,649,503,800,502,480,649,502,282,82,502,502,503,16,649,649,501,789,282,502,503,526,502,503,46,242,102,649,649,800,504,503,262,282,500,502,931,282,502,501,503,554,501,800,500,640,800,649,18,501,604,949,282,503,503,800,800,282,800,649,500,649,800,800,500,649,172,800,501,501,282,767,500,800,649,721,16,16,282,282,282,282,500,504,502,502,800,504,800,800,503,501,282,502,503,818,502,649,649,649,800,502,503,503,501,649,504,800,501,340,502,649,500,16,503,500,500,800,282,282,767,928,503,502,500,500,502,501,503,503,282,501,503,503,502,500,501,800,282,558,530,503,649,800,16,846,500,897,503,916,501,500,800,500,16,878,502,343,282,16,963,502,234,800,500,500,503,437,800,503,503,501,800,504,800,500,16,282,649,500,503,408,503,503,500,800,503,409,501,500,282,649,501,502,649,501,501,502,282,501,503,500,500,501,800,502,500,501,500,800,501,502,800,503,502,787,803,501,282,16,649,649,501,500,484,649,800,502,500,800,503,500,501,500,800,995,282,769,502,830,502,502,800,649,501,534,649,800,501,500,502,503,502,502,501,502,16,649,500,501,502,503,800,500,503,500,649,503,501,649,800,501,502,502,16,503,500,755,282,503,503,501,502,396,612,502,504,501,800,501,16,800,502,116,501,16,18,649,649,500,501,800,500,501,501,649,500,327,604,649,649,649,949,503,502,787,502,282,500,501,501,649,503,649,596,282,503,503,500,477,500,502,501,502,800,87,669,503,526,655,800,500,502,500,501,888,282,502,501,501,649,800,649,501,923,502,751,501,559,500,500,800,282,501,503,502,503,575,503,501,501,502,800,282,282,649,500,500,540,502,649,800,500,503,500,501,538,503,502,502,501,501,503,502,503,649,501,503,501,503,500,503,503,65,500,501,503,502,503,649,959,772,800,502,690,800,649,502,502,649,800,772,501,569,503,500,502,649,501,502,649,800,282,501,503,800,500,649,501,107,500,503,618,800,500,502,502,502,649,500,503,381,500,649,503,800,800,649,800,501,800,501,502,800,503,501,500,16,800,501,500,502,15,501,800,800,502,649,226,501,501,800,282,897,445,503,500,282,649,800,504,503,502,503,501,16,222,500,282,427,501,502,502,503,500,107,117,500,500,110,800,501,500,502,502,502,282,800,649,502,503,649,500,500,502,503,500,800,433,500,800,501,649,381,800,800,800,800,800,649,800,501,592,800,500,501,800,800,502,991,501,649,937,501,614,503,800,503,502,500,502,649,559,800,107,504,501,502,800,649,137,255,16,356,504,500,800,649,16,800,500,503,500,501,800,502,649,460,501,800,800,607,501,282,501,800,503,649,800,649,715,502,282,503,800,800,800,16,503,501,800,501,649,649,502,501,800,554,503,501,282,800,40,501,649,611,995,503,282,800,705,649,502,503,800,282,502,500,23,500,649,501,500,500,649,503,800,500,800,16,968,649,16,649,325,649,554,107,500,800,800,800,500,501,16,501,501,800,500,698,500,501,996,501,683,503,502,649,800,503,649,500,502,500,502,503,500,16,503,800,513,500,503,649,800,503,502,503,503,16,502,823,500,800,800,649,107,283,800,116,501,16,502,503,501,503,800,649,500,649,282,502,800,16,502,501,501,503,649,503,282,16,501,500,502,649,501,502,501,502,377,501,800,502,501,500,503,500,504,503,502,503,500,503,649,501,502,282,500,501,800,577,649,649,199,468,500,503,502,649,649,649,500,282,583,282,876,502,800,103,500,501,282,800,503,649,649,409,800,801,282,171,500,503,503,503,503,16,501,502,649,297,833,282,760,872,226,800,503,503,800,649,500,522,500,800,502,502,649,800,800,800,649,800,502,500,501,500,503,800,933,282,254,502,503,502,501,503,503,500,503,502,800,500,282,502,800,502,282,503,502,503,500,501,282,325,800,800,649,800,502,800,900,282,503,501,501,500,500,503,500,800,500,282,649,649,496,637,503,502,16,500,752,500,649,500,504,282,800,500,503,501,433,649,502,502,501,501,500,78,800,502,800,501,754,800,501,384,500,502,800,500,500,501,800,800,501,502,503,501,502,754,503,133,502,649,800,649,501,800,501,649,16,282,503,649,189,800,501,502,502,649,501,500,501,282,282,16,500,502,16,649,282,800,501,503,500,800,502,501,107,502,649,800,649,504,800,501,800,800,935,503,748,16,649,811,502,501,649,16,649,502,500,649,503,800,781,649,649,282,800,649,503,16,952,503,503,649,800,502,500,282,503,649,503,800,500,800,431,501,500,282,800,800,978,500,800,501,649,503,502,649,16,502,502,107,502,649,501,503,800,502,282,450,504,282,422,502,500,500,502,500,23,16,500,282,501,502,501,16,98,16,800,502,649,649,800,800,501,503,501,800,649,503,16,502,649,501,500,500,282,282,925,649,282,504,501,649,649,705,649,503,649,503,503,500,800,500,500,103,501,502,501,644,501,503,258,502,502,502,16,503,502,500,501,312,649,502,649,503,16,502,800,800,301,649,501,649,500,500,800,333,800,501,649,500,522,502,500,500,502,800,503,500,16,649,503,649,282,500,649,800,502,800,503,282,501,359,503,502,504,502,912,493,501,649,654,502,595,500,503,525,649,501,503,504,15,16,282,503,282,500,503,649,65,503,502,500,800,503,797,800,500,500,800,500,503,501,502,59,500,503,501,500,103,170,800,350,800,501,800,501,500,500,649,103,898,800,503,502,649,504,501,504,948,503,500,800,895,800,503,282,503,666,800,503,503,16,502,500,501,800,649,503,800,915,649,503,593,649,282,800,504,502,282,800,649,500,800,649,502,502,282,16,500,800,502,282,105,501,502,500,649,249,800,125,282,649,500,16,502,503,649,649,649,800,800,282,503,503,501,649,243,503,502,982,800,646,800,501,503,501,282,500,831,328,502,500,501,466,282,501,7,502,501,198,501,282,501,503,501,502,429,649,502,649,800,501,800,800,483,501,504,501,500,503,502,500,800,501,500,649,500,617,649,282,500,800,502,649,501,680,502,501,501,649,500,282,907,501,504,649,502,501,924,500,502,501,649,282,649,800,649,500,501,500,800,503,503,501,503,649,501,502,501,500,502,501,500,16,502,800,800,16,800,503,500,502,503,495,503,501,502,800,503,501,503,649,501,800,16,501,503,503,500,282,503,649,282,502,649,501,649,328,737,649,282,800,500,282,501,503,502,257,348,501,800,929,502,500,503,649,501,107,282,500,500,504,501,652,500,503,500,649,211,282,649,225,800,282,163,800,649,649,500,502,502,502,502,500,500,269,503,503,150,501,649,503,500,500,16,800,649,649,800,800,501,344,243,282,502,504,800,800,649,287,800,501,16,502,649,500,501,501,501,282,501,649,282,800,850,500,502,501,649,16,800,501,649,107,800,501,254,800,503,501,649,282,649,501,502,504,282,800,500,503,501,282,282,502,705,800,649,501,800,800,501,502,501,500,734,502,786,497,500,501,502,501,282,800,800,503,500,800,502,309,503,781,649,503,503,502,649,501,502,800,649,503,275,733,500,649,649,649,649,500,500,503,535,807,800,503,800,494,500,649,649,800,501,503,800,502,800,501,503,594,303,15,282,800,800,649,503,500,800,501,800,800,500,500,12,500,500,800,800,502,501,212,502,502,649,649,800,502,649,500,501,800,282,800,501,649,502,504,282,282,649,674,503,504,16,501,649,649,503,502,800,502,501,504,180,501,282,649,503,502,501,282,503,503,501,502,503,500,500,558,501,649,503,800,500,282,501,503,649,649,502,502,613,502,500,672,503,649,649,502,282,503,16,503,800,501,649,501,502,500,501,504,745,800,649,503,501,16,501,649,800,500,926,800,503,500,103,649,500,623,503,503,501,502,800,501,501,502,800,649,500,503,649,107,501,800,649,503,282,502,649,800,502,500,107,789,501,16,500,48,500,16,502,800,502,500,16,800,649,649,502,501,503,16,503,503,705,500,800,500,649,800,502,649,502,503,502,282,503,501,649,649,282,649,282,800,501,501,500,77,500,800,282,585,500,920,649,726,569,502,503,649,800,500,16,282,649,503,282,502,800,502,878,502,583,705,649,978,800,800,202,800,501,502,501,649,500,800,16,282,500,800,919,503,761,754,282,915,90,800,282,282,649,224,843,503,800,502,502,500,649,800,649,500,502,282,500,500,649,30,800,649,630,500,500,649,503,600,502,649,604,286,649,502,800,503,501,800,649,501,800,500,282,502,724,229,800,500,500,107,948,502,500,502,502,500,314,502,501,500,649,500,800,503,503,649,502,503,500,500,503,282,282,502,16,500,649,501,649,821,800,501,501,500,649,722,254,501,523,16,500,501,501,649,800,649,649,96,502,504,800,800,500,501,503,500,502,800,503,16,502,501,502,800,409,500,763,500,649,282,649,501,503,800,800,503,800,500,503,978,425,500,649,259,282,649,504,282,500,282,800,503,503,800,282,649,800,272,502,500,649,800,500,500,282,649,501,500,50,800,500,800,107,479,282,501,502,501,500,500,501,451,501,501,501,500,500,229,478,501,163,503,503,500,800,472,70,649,649,500,501,800,16,503,282,503,503,503,745,649,649,107,503,500,649,800,503,800,649,501,501,502,502,16,649,800,649,768,921,282,853,500,800,282,800,503,503,51,501,649,800,800,501,503,502,649,503,692,649,649,500,500,800,802,500,501,16,500,500,502,501,649,501,501,503,854,501,563,282,501,502,800,649,503,16,551,503,16,503,282,835,502,496,649,891,11,282,621,649,502,500,501,16,503,800,649,649,282,800,282,120,649,503,500,502,649,440,800,503,503,340,504,282,800,500,447,500,500,500,501,800,501,282,503,503,502,800,500,500,649,333,350,500,500,800,649,503,500,789,282,502,673,503,282,800,282,500,503,807,593,501,879,800,800,824,503,503,502,502,649,873,649,103,503,501,501,649,694,501,501,501,897,800,32,504,612,503,649,649,800,876,649,502,649,199,800,347,649,50,503,502,500,649,800,502,282,501,282,875,800,502,501,649,701,500,504,500,282,502,500,700,500,800,500,800,649,196,500,589,649,500,282,282,500,282,503,502,501,16,609,800,503,649,501,500,649,800,501,500,858,501,649,341,503,503,500,409,501,800,16,310,502,501,502,282,500,501,800,91,503,800,30,107,501,503,800,649,427,800,800,502,649,335,501,282,500,800,649,502,282,502,107,502,649,987,500,150,501,503,649,503,503,649,282,800,432,500,503,944,500,282,800,500,800,501,42,501,502,500,503,503,503,502,282,649,500,501,500,501,800,503,282,649,502,282,500,649,503,16,501,649,282,649,502,649,282,16,500,501,649,502,800,617,649,504,502,503,500,500,502,282,282,800,502,16,649,992,954,501,282,502,503,502,501,502,649,800,501,500,129,929,486,503,157,800,500,16,500,500,500,500,582,16,800,503,503,503,502,501,546,282,649,502,502,800,282,502,282,500,501,282,705,502,282,501,282,800,501,504,502,500,800,282,951,502,649,502,500,475,800,282,502,649,503,503,500,800,500,502,282,503,107,752,500,501,282,282,103,649,800,649,502,649,282,502,649,649,502,184,649,502,649,503,800,500,649,649,649,800,800,501,649,502,649,502,972,504,503,649,649,500,601,502,16,107,649,503,859,800,503,649,501,503,649,649,800,800,500,800,504,502,502,16,800,500,500,503,800,649,16,800,800,649,282,500,907,502,586,500,503,800,353,500,502,503,649,649,503,28,500,500,16,501,503,500,500,500,502,103,800,503,502,649,800,649,149,16,230,502,651,853,428,502,501,503,800,692,696,800,649,502,800,800,129,502,701,649,503,800,500,501,501,500,502,503,16,501,800,16,649,500,705,502,501,503,503,715,16,649,649,800,502,503,503,500,751,140,800,232,800,16,873,500,502,800,16,649,800,500,503,501,500,503,282,282,800,649,501,800,501,501,500,503,503,500,282,500,501,282,502,500,502,282,209,649,603,807,502,800,503,502,107,800,503,649,503,502,489,705,501,800,800,107,499,282,649,501,282,282,800,501,800,503,282,282,501,439,500,502,501,800,501,500,502,501,800,501,500,649,800,503,501,649,649,503,501,502,649,502,741,502,501,649,800,500,500,500,501,503,502,503,504,503,503,649,799,16,503,501,151,500,504,800,800,501,503,501,282,502,649,500,501,464,705,385,649,501,502,800,800,501,501,649,649,310,800,649,158,500,500,107,502,500,800,503,502,500,501,500,503,16,502,500,501,107,800,501,800,282,501,504,282,502,501,161,107,800,501,503,16,16,503,503,501,16,503,16,800,800,502,107,800,501,503,501,500,502,501,282,649,282,800,500,649,16,501,503,649,502,503,502,503,649,800,500,500,800,502,502,649,649,16,501,800,649,311,500,503,500,503,581,800,282,502,649,800,838,649,649,502,501,501,800,502,502,502,502,800,649,503,439,503,649,501,649,500,502,649,500,800,649,501,649,374,592,570,800,800,16,500,502,501,282,649,503,16,649,649,16,501,503,800,501,503,503,282,800,282,502,501,800,649,410,500,16,503,282,649,502,367,500,649,800,16,501,800,501,502,282,501,800,502,800,649,503,501,503,107,501,502,501,270,389,502,501,800,800,502,800,501,501,502,282,500,500,501,282,649,501,502,500,500,501,503,800,800,500,649,496,16,501,800,501,503,282,800,500,153,503,501,306,800,504,800,500,649,291,500,800,649,282,649,40,800,501,502,502,500,649,500,478,592,502,503,500,350,501,500,800,177,500,500,478,502,502,649,800,560,573,501,503,503,500,501,800,107,800,264,121,501,649,800,504,649,502,424,649,501,649,800,500,503,750,502,500,503,649,649,800,686,501,500,800,649,501,800,500,649,649,501,501,800,649,282,599,502,282,800,503,282,503,200,16,501,503,649,503,649,502,503,501,503,376,500,649,649,649,649,282,502,502,500,649,800,501,800,649,649,500,242,800,502,649,725,282,502,649,800,839,540,422,800,16,503,800,649,501,501,649,649,282,649,649,502,503,16,500,649,800,800,800,282,503,282,504,500,698,96,103,800,496,502,649,906,623,19,500,502,500,800,644,500,800,705,501,649,282,282,649,501,502,500,503,800,888,649,500,282,503,649,769,501,330,649,502,503,501,503,16,503,649,503,501,800,501,282,917,825,504,500,500,800,500,282,191,800,502,70,282,501,501,501,107,500,502,695,444,282,502,502,501,448,282,502,649,503,800,490,282,503,501,16,649,800,502,649,503,503,503,503,500,501,501,649,282,503,501,500,500,16,649,800,800,500,501,282,500,800,649,426,500,649,649,502,214,503,959,421,502,502,504,649,649,501,500,16,649,500,649,705,649,800,282,500,501,501,282,800,502,880,282,649,649,649,321,502,803,503,502,282,501,649,476,501,649,800,800,500,502,800,649,501,501,502,503,500,871,981,500,649,502,503,503,501,500,502,800,502,649,501,503,503,444,649,501,119,800,500,504,502,649,501,501,800,500,500,252,502,800,503,351,649,502,649,502,501,282,503,649,282,649,500,502,503,501,282,649,500,503,502,800,503,800,282,501,649,501,282,501,501,800,500,503,501,800,502,800,275,399,133,500,16,705,591,282,502,649,800,501,649,800,503,800,503,500,502,500,502,502,502,502,800,502,500,649,778,800,800,503,501,649,501,649,500,501,503,501,800,715,649,800,649,800,282,800,502,16,649,500,502,573,649,282,502,504,282,504,16,502,503,363,800,502,501,282,282,59,16,502,503,503,649,800,500,649,632,649,500,500,502,649,502,501,501,800,501,503,501,107,504,800,502,282,502,502,500,503,649,103,500,374,16,500,649,800,500,501,800,332,500,16,503,500,649,503,800,500,501,500,502,525,503,282,649,800,553,167,800,282,501,500,502,800,502,705,282,502,500,500,503,649,649,503,502,500,800,502,103,502,800,500,282,639,504,502,501,500,500,603,649,678,503,500,502,649,501,649,500,282,282,501,800,501,649,800,800,649,790,649,649,500,800,501,501,16,500,707,501,501,501,503,502,501,247,282,403,282,100,500,4,503,502,501,649,501,504,503,785,315,503,800,503,501,500,500,649,649,501,503,503,502,502,501,885,501,503,500,649,504,649,500,503,16,649,500,800,649,649,282,502,649,503,503,289,282,500,282,800,800,503,800,501,800,800,503,504,501,800,500,503,503,649,503,501,502,649,502,396,500,590,649,16,800,282,107,649,503,649,501,282,502,16,649,649,800,500,502,500,649,282,16,504,502,649,649,501,503,649,879,500,502,500,800,16,501,800,502,503,917,503,500,503,500,500,501,501,501,503,502,649,500,649,649,500,649,500,282,503,868,649,501,649,667,107,800,503,500,649,282,501,282,282,87,282,502,500,503,649,649,800,282,501,429,649,881,502,800,500,396,228,48,500,282,649,503,800,800,36,800,800,282,503,501,800,502,504,137,282,503,500,501,649,500,438,800,500,373,649,934,500,741,502,282,684,500,502,501,800,76,500,282,800,649,16,502,282,178,503,500,504,282,567,502,501,800,501,502,282,501,500,501,502,784,800,16,501,16,503,501,282,800,649,649,16,649,502,800,282,649,500,502,649,502,500,649,503,282,501,502,502,502,502,500,503,500,502,282,800,502,649,503,282,649,800,502,500,649,16,503,649,501,649,501,385,501,388,649,649,649,502,501,649,649,649,501,649,32,282,329,265,501,502,503,496,649,282,964,282,501,649,501,502,503,501,501,500,244,501,500,790,649,503,504,535,800,649,501,503,649,500,800,245,500,800,503,500,502,649,282,501,500,649,649,282,16,502,800,649,649,282,698,800,500,501,501,282,649,503,649,503,501,503,500,502,649,503,502,649,500,502,500,649,800,354,501,502,800,501,500,649,501,503,500,500,240,649,282,503,649,503,800,800,649,501,800,501,502,503,500,824,649,282,500,649,240,649,500,500,503,501,501,502,936,812,503,501,501,503,649,282,649,500,649,501,649,800,501,649,282,800,502,649,800,503,503,800,649,800,649,504,328,501,103,282,501,501,501,503,501,500,503,649,503,500,103,649,503,502,503,461,282,500,649,503,649,649,503,500,503,606,649,16,501,282,502,649,504,501,282,482,304,649,500,660,503,282,503,800,501,649,800,503,850,649,649,500,800,502,500,502,649,649,503,649,503,355,500,500,501,503,500,800,503,501,677,500,16,282,503,649,500,502,501,500,501,800,500,800,16,501,16,502,716,445,649,865,503,503,947,800,500,649,649,16,502,800,502,502,16,800,649,503,503,500,800,503,800,107,649,501,502,800,502,503,649,107,503,503,331,501,800,649,503,797,503,500,501,216,800,800,649,501,649,282,500,16,502,345,649,500,503,501,800,800,501,501,500,502,282,282,649,800,501,800,504,501,800,501,800,649,996,649,503,502,501,645,800,503,282,502,800,800,791,282,800,800,649,703,501,503,500,502,107,503,800,503,502,282,504,649,649,553,503,649,649,500,800,500,500,173,500,649,800,257,502,107,659,800,649,501,503,282,282,503,461,435,649,501,16,500,800,777,501,1,649,649,502,503,501,503,501,649,500,800,502,800,503,501,500,501,527,282,500,501,282,501,500,500,282,800,617,502,839,500,504,502,500,501,504,649,503,649,504,649,502,107,112,582,649,501,504,500,502,178,500,503,501,16,500,500,409,800,649,649,501,160,650,501,504,865,501,500,500,905,503,503,206,502,800,947,649,828,501,79,501,503,500,502,800,800,501,649,105,501,501,503,503,78,800,649,649,501,649,649,800,282,502,501,100,503,602,800,501,16,800,649,649,282,500,502,503,501,282,501,800,502,627,282,501,502,800,502,500,501,500,502,16,503,502,800,501,500,500,831,800,800,649,501,974,43,502,502,649,501,500,308,503,502,501,501,503,503,800,649,503,501,502,502,254,502,800,501,649,502,872,500,501,503,800,500,502,503,502,502,501,501,500,500,503,800,500,452,500,501,502,649,800,649,800,503,500,503,800,501,800,800,649,16,205,502,501,501,649,800,502,793,502,836,501,282,16,800,282,800,502,691,824,282,649,668,501,500,501,500,502,503,649,502,282,649,16,503,800,502,503,649,649,282,500,500,503,503,500,502,800,282,502,230,649,502,502,501,206,501,502,502,649,649,800,501,503,501,282,649,500,502,282,501,649,502,501,282,501,282,502,800,649,649,503,800,501,282,501,649,800,501,800,502,16,501,500,502,800,800,81,502,500,800,503,649,503,103,649,504,185,800,649,501,501,649,649,502,16,260,902,282,800,800,626,3,282,502,500,84,503,502,502,649,103,500,649,502,800,747,800,500,502,504,503,501,501,635,282,800,500,800,649,368,282,800,503,649,501,16,503,504,502,121,800,800,503,282,500,282,503,353,500,502,502,16,282,502,649,276,500,501,500,503,502,11,800,16,502,504,502,282,502,502,282,500,282,800,500,800,649,800,500,502,503,501,502,502,282,500,800,800,501,649,282,501,500,500,800,501,500,501,800,503,500,502,502,502,501,503,649,800,502,503,800,501,649,837,503,649,503,130,502,800,503,503,503,956,502,649,500,501,320,500,503,649,502,800,501,800,800,503,649,800,107,502,500,649,649,701,649,502,500,649,503,502,503,502,282,649,501,502,16,800,500,649,500,500,649,502,501,649,500,502,526,33,502,16,16,282,800,282,503,503,800,649,501,649,628,503,502,62,800,502,649,503,662,223,503,610,502,500,502,501,800,173,250,800,500,649,501,500,649,636,502,502,314,68,649,282,502,282,500,800,444,500,502,502,857,800,500,800,503,503,800,16,103,500,807,500,503,500,604,502,500,800,501,500,500,282,502,199,500,503,503,210,649,486,503,649,58,500,500,503,16,501,502,503,800,501,501,501,282,16,800,504,500,503,224,800,501,500,500,500,500,747,43,249,503,800,800,501,107,519,500,502,103,500,282,503,502,800,502,649,501,533,503,100,502,476,503,501,500,122,500,501,800,649,649,649,502,501,398,503,502,726,649,828,282,800,502,282,501,500,449,16,500,500,186,800,649,503,16,779,501,502,502,501,130,504,821,282,500,282,502,282,800,800,503,282,800,501,800,503,501,649,501,500,502,800,583,503,502,503,800,254,800,501,500,649,861,503,500,502,502,282,501,800,500,500,800,16,16,225,282,501,500,500,501,502,503,500,500,502,503,500,500,503,502,500,800,503,706,693,502,501,502,495,501,500,800,503,103,500,16,800,503,500,500,59,800,16,800,503,500,504,269,503,501,501,503,16,502,282,807,161,502,500,16,649,800,16,325,501,800,649,800,502,501,282,649,53,282,881,282,649,282,408,649,649,500,282,800,501,500,500,501,800,502,504,500,282,503,800,501,502,503,502,128,800,800,500,501,649,166,800,41,649,503,501,503,502,800,800,502,282,502,649,501,501,800,500,500,649,502,16,501,501,649,800,501,649,282,547,649,800,501,501,502,566,502,282,309,649,187,501,800,282,500,503,800,649,16,800,503,502,649,35,500,501,795,501,800,649,501,504,800,500,503,503,649,501,501,501,503,282,800,501,503,503,501,500,502,434,502,503,501,282,246,502,502,282,554,502,501,16,282,800,448,502,542,705,503,800,500,503,282,500,649,649,501,503,502,649,649,800,500,502,649,649,502,622,503,800,503,107,501,503,282,649,649,502,526,503,504,500,282,500,16,503,500,243,501,501,558,239,502,16,502,501,602,649,800,501,800,503,500,503,500,282,299,503,649,649,503,503,98,504,501,304,800,649,649,500,503,503,501,649,503,16,501,500,501,649,503,500,503,503,503,503,282,500,866,800,649,800,282,503,649,16,800,649,500,502,503,649,617,501,500,800,502,502,649,502,649,955,500,503,649,502,800,800,800,501,649,800,503,649,800,800,193,503,500,503,639,649,282,501,649,282,615,500,500,501,581,501,456,800,501,500,504,501,800,649,649,502,503,649,873,500,800,500,504,502,649,800,800,500,501,800,502,502,896,500,502,989,502,800,500,502,501,282,722,503,501,500,282,503,16,502,501,695,649,500,649,502,800,282,501,501,500,500,649,500,500,415,503,800,502,500,502,501,500,500,649,107,500,383,500,649,501,503,649,501,704,504,869,500,501,500,502,800,282,649,697,278,800,16,800,500,649,282,649,888,282,503,503,784,649,501,503,649,501,649,534,800,501,107,500,705,800,502,16,153,649,371,649,800,770,503,502,502,432,649,503,503,800,649,649,282,500,800,282,502,16,503,503,503,502,503,503,386,374,503,501,649,237,503,103,503,800,500,282,800,800,107,502,502,177,649,503,800,361,16,500,502,501,502,503,800,501,282,643,16,282,502,502,156,500,649,500,649,503,501,282,500,800,502,107,500,502,649,962,502,107,182,500,253,502,502,649,502,4,501,16,646,282,502,500,500,800,649,500,16,502,469,649,502,800,500,107,765,649,649,503,500,800,500,649,649,800,500,501,500,800,107,649,504,501,734,500,500,502,500,282,500,649,800,563,772,501,415,925,501,800,502,649,619,282,800,502,503,800,800,502,16,800,103,282,501,503,500,501,501,500,500,926,968,502,503,282,16,501,500,502,800,500,800,500,500,614,503,502,656,800,649,500,501,501,282,649,503,662,503,794,406,800,649,107,504,800,501,500,620,649,800,503,504,500,502,800,500,282,282,502,649,500,649,744,649,500,503,504,501,500,800,502,501,800,800,502,800,530,275,500,500,800,501,704,649,800,800,800,282,282,502,502,429,649,800,500,649,649,503,500,503,504,282,649,282,501,503,649,649,649,503,500,502,649,16,647,500,649,502,500,800,501,282,503,503,133,502,501,501,500,800,503,215,282,282,501,800,800,277,800,979,205,705,16,306,503,500,503,501,500,800,503,503,649,500,503,500,501,144,584,501,501,501,500,962,502,649,282,800,282,31,282,502,649,500,502,500,500,899,914,501,483,282,504,649,502,16,800,282,282,501,503,504,500,500,649,800,649,690,501,705,602,501,503,649,501,502,800,308,501,503,502,500,503,502,500,800,351,501,503,500,500,501,500,800,504,649,580,800,800,234,501,502,16,502,431,500,500,501,503,503,500,503,16,500,503,502,807,801,800,716,500,500,500,501,737,649,649,500,16,649,800,649,649,649,500,503,503,649,500,800,800,501,502,800,800,16,500,502,282,282,800,282,501,649,502,502,503,502,660,282,649,800,465,501,649,165,503,282,282,503,705,800,649,16,501,282,649,501,811,505,501,800,116,502,985,649,800,16,649,503,502,500,502,649,800,257,501,501,502,800,503,282,800,649,501,800,102,411,502,649,502,501,800,500,501,502,993,502,649,501,282,502,800,503,502,503,503,504,282,705,502,800,828,503,649,501,800,503,503,345,503,501,501,501,649,501,760,502,500,503,503,800,282,649,503,501,500,103,502,504,502,502,501,500,30,503,503,103,800,501,800,501,500,800,500,503,501,649,649,500,502,664,800,800,485,502,946,501,183,503,649,500,267,500,649,501,502,282,398,282,282,502,649,282,500,501,181,800,500,500,800,500,500,629,502,501,471,503,16,502,800,503,500,282,501,503,800,502,502,649,30,502,501,856,649,501,500,502,500,16,500,502,503,800,501,365,649,282,500,500,502,800,800,503,649,800,502,502,500,800,103,500,500,500,503,800,502,465,372,502,503,800,500,502,503,649,501,528,500,712,502,502,649,501,800,500,501,503,501,502,500,503,649,16,500,500,16,200,500,501,502,584,11,282,155,649,649,649,131,501,501,282,107,139,502,282,503,503,492,16,503,16,649,502,649,502,503,502,500,501,77,190,502,800,501,800,503,501,649,501,503,800,449,501,649,503,503,500,800,503,502,501,502,501,502,500,800,486,800,800,502,500,800,500,649,501,502,282,501,107,503,502,860,503,503,502,503,313,503,500,800,504,794,16,649,957,800,680,504,321,503,503,503,500,501,501,282,55,500,649,503,502,649,649,503,840,282,649,504,282,649,282,282,502,502,500,501,732,649,649,219,649,545,649,501,649,649,503,503,501,800,502,500,502,649,503,668,649,16,800,16,800,405,503,502,504,501,924,800,649,501,502,500,649,800,282,502,103,649,266,500,800,501,649,500,800,800,656,501,503,649,502,502,501,501,500,108,500,501,27,800,503,800,649,649,500,502,649,500,649,500,800,500,800,649,800,649,501,649,502,16,500,862,282,500,503,282,800,242,500,714,800,500,16,282,503,500,649,282,500,503,445,800,500,842,502,800,237,649,501,502,120,649,460,503,503,501,645,503,800,502,126,649,503,438,502,500,503,501,892,16,122,282,800,800,649,800,501,800,649,282,500,649,649,503,500,282,502,501,282,500,503,800,800,503,503,160,415,503,500,501,800,649,502,500,503,501,501,503,649,502,695,503,665,16,502,282,835,501,504,618,502,649,649,502,503,762,502,500,649,800,282,800,649,503,800,502,503,711,800,916,763,16,800,500,649,858,649,649,500,800,800,502,947,503,500,800,501,649,500,502,978,503,500,504,501,800,649,501,282,501,503,800,649,503,501,501,503,501,504,712,499,282,469,500,800,503,502,464,462,649,500,503,649,649,503,501,468,609,500,800,501,800,501,501,649,500,504,107,736,500,504,649,503,503,502,500,800,282,502,504,502,649,303,649,649,107,504,501,504,800,649,649,501,503,501,500,800,260,16,500,501,502,800,649,649,500,502,800,800,501,649,282,16,34,649,16,282,500,800,449,500,131,649,16,611,500,800,649,502,282,503,503,430,800,502,800,500,16,800,501,800,500,504,500,502,649,501,649,502,16,16,500,500,504,503,503,723,501,649,503,500,501,500,500,501,503,502,501,501,301,501,500,800,794,800,896,800,503,649,649,494,16,649,649,500,502,501,500,16,500,800,959,282,503,501,504,500,800,503,649,800,16,800,282,502,282,649,649,914,500,503,282,800,103,500,800,502,282,705,649,282,189,877,502,500,502,30,501,500,503,800,741,503,502,501,649,501,502,800,502,649,282,500,705,16,188,500,500,649,800,800,649,800,649,502,649,800,800,16,580,503,500,501,502,500,800,502,800,500,800,503,800,503,500,500,649,500,503,282,501,501,48,282,502,282,758,800,649,649,649,503,649,607,800,733,892,502,502,418,503,501,503,800,503,649,503,504,502,649,502,503,500,1,500,788,503,649,271,501,649,649,800,500,501,500,800,501,500,684,502,501,800,500,503,16,800,800,282,422,500,503,502,500,503,503,501,800,500,649,248,800,952,481,282,800,501,282,282,503,649,282,503,649,502,500,16,500,500,500,649,501,503,502,800,500,501,649,500,800,501,501,649,800,800,649,458,501,57,503,208,282,649,107,800,800,282,503,800,502,502,500,282,649,501,649,503,504,501,501,800,372,800,800,649,501,502,16,120,282,649,395,649,500,501,282,502,502,539,501,800,501,502,502,649,503,500,649,282,987,503,500,800,738,800,800,649,800,500,800,501,800,282,649,187,282,500,649,502,649,503,502,649,503,800,504,649,502,87,282,502,501,501,459,503,649,800,649,504,282,501,649,649,649,502,800,501,752,502,516,502,426,503,502,500,800,16,800,502,107,502,979,503,649,800,800,282,800,500,649,649,800,500,502,503,502,649,831,800,501,16,501,501,500,107,502,800,795,502,501,503,282,501,800,508,649,292,649,800,800,649,16,501,502,800,800,800,649,800,502,840,975,502,500,500,16,501,501,500,502,649,502,838,800,500,502,800,500,800,500,649,502,800,502,502,503,501,282,502,649,502,501,282,800,477,503,500,501,74,500,853,503,32,502,649,16,503,800,282,500,800,502,502,501,800,800,649,500,504,800,649,501,503,649,649,248,503,500,503,501,504,502,502,627,501,500,16,982,501,282,500,501,800,284,503,500,800,569,502,282,148,800,800,649,502,503,649,239,500,500,649,800,16,502,502,500,800,649,925,501,139,503,807,501,649,793,503,649,800,800,500,845,800,502,500,501,500,649,503,500,649,800,282,501,161,500,800,781,33,503,500,649,503,503,800,503,502,107,502,501,800,500,500,649,16,503,502,374,649,649,800,649,500,904,282,649,16,282,501,649,503,502,503,800,502,282,649,162,649,109,621,501,649,282,500,500,500,16,503,800,396,800,501,355,500,800,683,503,282,500,800,503,500,502,800,649,282,800,502,501,282,800,502,800,800,649,502,504,800,502,282,649,16,649,800,245,800,502,649,851,16,800,502,503,501,482,500,503,501,24,649,701,104,800,501,649,282,800,500,501,503,502,753,649,503,502,501,503,124,502,501,503,500,500,502,800,361,502,502,500,800,800,500,501,800,500,800,800,561,141,503,282,800,503,503,800,502,501,363,705,800,504,717,500,501,501,741,500,502,391,500,649,501,501,16,649,502,502,16,649,502,504,848,503,500,800,16,935,502,783,282,800,503,935,16,500,500,500,503,500,503,649,502,500,500,835,503,649,503,47,649,649,649,502,800,503,649,590,501,549,503,502,649,649,500,474,175,503,658,800,503,800,502,649,926,384,503,500,649,500,500,250,500,502,502,282,504,252,503,500,500,500,500,16,16,16,504,502,445,560,502,502,282,500,649,500,154,500,800,800,649,500,503,502,282,800,921,502,500,800,500,503,503,501,501,503,676,800,641,503,649,282,800,500,649,502,502,800,282,503,503,649,649,16,502,800,501,16,649,282,800,502,503,195,502,503,16,501,29,500,502,503,649,502,16,107,500,501,501,501,502,500,649,800,500,500,649,500,800,502,502,502,500,800,800,649,503,716,484,501,800,107,649,503,83,800,501,501,502,16,649,800,503,501,800,501,570,500,800,502,649,800,502,502,282,500,996,282,500,503,649,501,503,501,800,800,501,501,501,6,500,503,502,500,501,649,502,800,307,503,502,800,649,649,952,282,800,649,282,501,103,503,500,649,649,442,503,500,649,800,501,16,740,649,22,800,500,16,503,800,500,502,503,282,502,503,282,386,503,501,503,113,16,649,500,800,649,502,502,103,502,800,501,118,501,503,502,501,649,501,501,649,502,501,800,502,500,502,649,502,870,503,504,500,500,924,503,503,685,689,500,502,503,501,649,649,502,501,800,649,500,500,800,649,500,501,494,282,705,500,806,992,503,501,800,501,502,2,800,501,500,649,500,501,236,474,500,502,500,500,282,649,282,501,500,418,502,800,936,649,503,500,898,502,504,500,282,282,500,502,374,503,282,807,503,800,500,502,502,800,503,16,649,303,502,649,503,501,961,502,500,500,501,649,502,649,282,500,282,502,800,371,500,504,501,800,649,503,501,501,800,16,501,501,649,503,500,16,500,643,649,800,16,16,503,45,500,282,649,501,649,500,500,649,501,501,649,800,503,649,500,500,502,503,502,649,325,502,282,649,939,501,364,800,282,501,847,649,501,501,282,502,501,502,502,500,649,502,503,649,649,502,71,501,649,500,366,500,654,282,502,649,500,503,501,502,502,649,107,501,800,16,503,649,423,619,501,649,503,649,798,502,282,649,501,502,501,649,502,800,649,500,500,502,503,800,500,649,800,649,500,503,649,800,800,649,16,649,282,501,502,500,502,282,501,282,382,578,502,501,501,501,500,501,800,231,502,502,16,501,649,979,502,503,500,500,282,500,535,649,501,502,800,500,503,500,649,649,800,649,691,800,502,502,59,913,502,282,503,502,501,503,16,107,61,501,649,590,800,500,503,16,502,502,501,649,501,649,800,525,503,503,16,502,501,502,502,501,800,800,502,649,501,501,649,149,800,800,282,16,282,501,500,502,502,894,504,649,238,500,715,501,501,649,502,560,649,282,502,649,800,501,501,500,500,12,503,503,500,500,501,500,649,800,577,800,282,505,500,282,503,502,503,503,207,784,103,500,502,501,649,500,649,800,800,333,500,500,501,784,502,800,501,800,800,503,16,800,800,309,503,133,501,460,503,282,16,800,500,613,502,500,649,501,503,649,503,450,501,503,16,282,649,502,800,800,501,282,500,649,107,503,500,352,649,979,800,503,16,502,500,500,983,45,593,824,290,649,649,501,282,282,800,500,502,649,501,501,502,800,649,649,504,16,501,501,500,649,503,800,502,502,500,503,503,502,800,649,502,502,406,649,503,501,649,282,503,649,502,16,500,921,503,814,500,16,16,502,501,500,502,501,500,16,800,501,326,800,800,504,649,503,16,503,502,512,455,649,800,503,500,649,501,282,503,503,16,501,916,953,503,500,282,800,649,501,649,659,282,299,503,500,392,731,800,800,800,985,478,800,503,16,501,649,16,649,800,649,503,500,503,649,502,16,502,295,503,504,800,649,503,500,800,502,800,282,502,649,501,649,800,649,800,75,35,800,641,649,800,16,500,500,800,501,501,800,649,282,852,501,500,800,649,502,725,500,500,800,649,800,16,501,501,502,800,502,502,800,500,500,282,649,11,701,502,502,282,282,649,800,721,502,649,503,800,502,107,649,500,501,500,800,501,502,649,282,596,649,282,31,996,501,501,282,800,501,103,501,500,74,501,282,501,16,501,649,501,649,983,649,282,282,16,649,503,282,501,501,800,502,503,501,800,503,649,16,800,504,649,501,503,502,503,800,502,503,501,502,649,629,649,503,16,649,800,501,800,503,649,649,503,501,502,500,649,502,16,502,500,646,500,502,649,500,500,649,800,282,800,800,240,800,503,800,800,800,502,103,502,800,503,765,500,500,500,649,502,282,500,16,282,503,649,800,649,503,800,16,500,501,501,503,500,212,649,800,500,649,800,501,503,800,502,502,800,502,500,649,702,649,502,501,503,800,800,503,503,649,501,501,294,800,807,502,807,501,502,501,503,501,282,500,649,502,500,502,783,649,649,282,107,504,476,502,502,502,501,800,800,649,800,649,377,501,282,503,502,701,500,500,501,481,500,900,282,501,503,649,40,800,502,800,800,649,502,800,649,502,16,500,500,503,500,501,502,502,800,548,500,500,800,282,503,501,107,502,503,932,502,649,500,649,383,873,503,799,501,465,502,502,282,500,800,698,991,637,500,501,501,500,687,501,503,800,501,282,800,649,504,800,800,501,649,500,503,500,502,800,503,503,649,502,257,503,500,502,282,649,76,500,502,649,282,502,583,500,501,500,649,282,16,502,282,500,502,501,649,649,503,500,838,282,501,503,725,503,705,501,103,649,648,500,500,501,16,800,649,501,502,295,649,500,18,649,503,502,649,501,649,502,649,841,248,649,502,503,282,502,649,503,800,500,800,501,501,503,107,501,25,800,800,500,502,604,502,500,649,800,282,800,800,500,957,649,501,649,312,98,649,16,649,112,503,762,502,282,649,502,502,503,500,501,501,502,576,500,702,81,642,503,618,649,800,503,638,282,282,503,282,16,325,503,502,500,500,503,800,503,501,501,500,800,502,501,16,503,501,800,282,501,503,649,800,636,800,501,503,501,651,930,725,501,503,282,503,800,503,501,501,501,502,282,649,502,501,503,16,282,649,282,800,501,837,502,800,501,500,502,16,501,800,800,503,501,16,502,88,503,800,282,649,649,503,649,503,16,502,501,649,103,16,502,503,770,807,16,649,649,503,655,800,502,142,500,501,800,282,502,100,649,500,501,501,503,282,503,800,800,16,503,503,500,282,502,800,502,503,500,502,503,282,777,800,800,800,500,501,503,502,800,722,501,282,142,649,503,502,502,501,500,504,500,500,649,107,346,503,800,800,503,502,501,140,500,504,146,500,239,502,738,800,282,16,501,503,800,581,800,503,500,282,500,501,282,615,649,958,989,502,800,16,649,501,5,649,501,502,503,16,361,800,282,186,500,649,800,282,501,800,800,282,500,800,649,65,800,613,16,501,503,649,502,501,800,502,282,500,649,503,500,501,924,506,503,503,800,502,502,504,502,502,679,817,800,519,502,800,500,504,500,502,165,500,649,900,503,501,503,501,502,800,502,282,282,800,649,503,501,649,503,501,503,502,649,119,501,501,502,16,840,800,497,282,500,503,649,502,649,502,873,16,649,649,501,503,800,502,502,908,500,103,800,503,501,649,107,503,649,502,502,800,282,439,501,290,501,500,503,800,500,501,929,503,500,282,503,500,500,649,107,800,800,615,282,500,503,56,500,649,501,649,500,282,800,800,649,800,501,501,705,502,649,388,800,504,502,649,800,16,502,16,800,502,103,800,800,503,800,500,282,649,532,503,282,500,800,189,800,503,504,649,16,500,649,649,503,502,16,700,503,500,649,501,693,503,502,800,160,61,501,649,500,502,501,502,16,649,519,164,500,501,503,649,500,796,501,878,800,501,502,500,500,502,29,500,107,103,503,500,501,502,500,282,705,800,490,282,501,800,500,649,619,649,501,786,800,649,503,502,501,800,649,502,501,734,282,501,649,107,502,500,500,800,501,501,976,649,503,503,649,501,16,501,435,800,502,502,106,500,500,503,503,500,800,800,649,503,501,649,649,500,501,800,800,503,649,502,649,601,282,649,503,503,649,800,501,503,800,501,500,134,141,735,501,500,107,502,503,503,800,649,800,649,500,502,649,649,649,649,649,107,800,800,430,16,502,800,16,107,109,501,503,503,501,148,649,282,503,501,502,649,800,503,274,500,503,649,504,500,800,16,502,649,501,649,503,500,500,649,649,500,649,503,503,500,649,649,502,500,503,501,890,501,649,649,649,501,875,800,800,500,500,800,705,282,919,500,535,503,502,649,16,813,501,503,800,501,503,501,503,502,501,851,502,93,500,500,800,503,282,501,503,500,502,649,800,500,502,800,649,16,649,649,649,529,500,943,800,649,800,820,66,503,503,502,310,472,502,800,502,800,501,502,500,503,501,282,502,649,800,502,500,16,502,502,502,508,503,800,503,16,800,282,500,501,405,500,800,504,501,501,800,649,500,396,501,800,503,500,192,649,502,500,649,282,282,917,503,500,503,874,282,503,501,800,800,500,502,503,282,895,800,282,16,503,502,582,211,503,500,500,502,501,649,503,502,502,502,326,282,800,800,503,851,503,219,800,503,800,649,606,254,800,500,503,500,258,500,282,649,649,501,800,501,800,475,70,800,800,501,503,502,649,800,502,503,500,921,502,800,649,243,501,282,502,896,501,501,649,502,714,107,503,503,501,501,501,649,501,501,649,501,502,282,500,501,649,500,503,502,800,503,649,502,649,503,126,800,502,649,649,649,503,16,501,800,800,649,282,800,649,462,63,649,949,501,649,452,800,502,282,501,503,501,501,705,100,501,649,282,649,357,649,384,282,800,501,16,503,500,502,503,426,103,501,649,502,961,501,282,501,503,501,649,649,282,800,16,502,649,811,501,501,259,501,501,500,503,502,503,500,282,800,649,503,502,502,649,500,503,920,503,649,502,503,502,501,500,160,83,500,501,500,800,649,972,502,503,501,800,800,649,502,724,800,482,500,500,187,501,501,834,649,502,23,547,282,800,500,503,501,500,649,502,503,502,502,649,502,649,649,503,246,503,501,501,800,503,501,233,239,518,503,501,649,800,800,815,800,100,502,501,211,502,807,500,500,800,649,501,116,503,500,500,501,502,501,502,501,500,501,502,503,699,488,501,800,282,500,500,983,649,502,500,503,800,550,800,500,282,838,143,500,169,502,500,649,649,41,502,705,800,800,800,800,649,649,502,649,800,502,501,170,999,502,661,502,500,501,800,500,415,503,649,503,649,649,800,502,649,934,501,501,501,800,800,500,500,800,506,502,500,502,502,501,502,282,502,282,800,282,500,501,501,503,502,503,501,514,501,649,800,103,380,649,649,25,649,800,501,500,229,500,502,502,16,980,503,504,649,539,503,282,500,503,503,503,484,649,502,800,16,800,926,16,605,800,503,800,504,155,502,800,503,500,282,74,800,501,282,501,503,501,282,501,282,503,103,501,500,798,502,500,649,649,107,800,282,431,503,649,649,501,504,800,649,503,16,500,503,500,502,649,502,16,501,52,64,282,16,621,800,501,282,649,649,502,501,500,500,500,800,500,502,282,16,800,502,501,501,282,282,502,501,502,503,282,800,800,501,649,649,502,649,502,800,504,800,500,649,282,282,282,502,800,800,501,649,8,49,649,385,800,502,800,543,800,800,502,502,501,501,800,502,282,649,503,501,501,502,649,282,501,649,501,502,500,942,84,502,800,502,258,500,502,800,697,502,649,649,780,503,800,503,500,501,963,282,800,579,471,16,800,500,649,503,502,500,500,255,800,503,500,800,503,502,503,282,649,867,649,132,800,800,649,102,649,800,502,501,501,649,500,503,500,501,467,460,501,502,649,800,501,800,649,282,800,500,501,502,503,503,501,500,800,502,501,500,501,500,501,500,413,501,92,282,649,282,501,16,502,800,501,649,16,800,649,763,503,16,501,500,502,282,282,501,503,16,800,16,800,504,984,649,503,500,503,649,308,500,500,500,503,500,649,503,282,282,282,502,500,501,442,501,503,503,649,500,649,282,503,943,800,649,156,503,282,502,172,500,649,503,800,503,649,500,500,800,107,282,649,501,502,282,649,502,649,800,500,503,500,500,500,16,503,800,282,800,503,500,503,500,317,649,502,502,501,503,503,501,502,649,502,501,282,649,500,532,649,500,503,800,502,800,649,503,573,649,649,363,16,500,500,503,502,116,800,500,501,800,503,500,501,503,500,107,503,500,503,16,181,503,503,502,64,500,800,503,107,800,649,500,501,800,444,800,977,500,800,501,800,800,502,502,500,12,800,800,502,5,789,800,501,800,500,503,865,502,800,501,800,500,503,649,501,409,557,433,282,502,649,500,649,502,282,501,282,500,502,503,500,76,500,445,500,500,827,209,500,501,649,501,649,282,501,501,282,649,138,800,502,502,502,649,502,504,503,500,16,649,503,502,800,502,503,646,502,282,185,500,800,503,649,503,501,800,649,502,564,500,503,501,502,649,649,843,649,502,649,845,649,649,651,502,254,500,500,800,282,504,972,755,504,501,501,503,800,800,503,800,503,502,26,616,502,965,500,730,783,500,501,502,503,502,503,16,500,800,501,649,282,649,16,500,503,500,500,501,503,649,282,503,16,649,649,503,501,649,698,502,501,501,503,649,500,282,282,16,649,502,500,500,800,502,500,500,800,500,800,16,119,649,103,282,16,649,500,282,500,503,501,500,649,501,800,282,503,800,504,307,800,800,649,500,363,282,800,649,503,649,502,649,501,800,503,800,800,501,800,9,235,500,184,500,800,502,355,503,503,282,503,502,503,800,282,502,500,502,501,168,214,502,500,649,501,649,800,502,800,809,502,800,282,502,649,800,618,800,502,503,46,503,500,800,649,649,502,16,800,502,503,649,800,282,500,282,649,501,646,282,649,500,649,800,503,282,827,979,800,504,649,800,501,500,649,800,16,501,500,501,501,501,103,501,800,649,649,649,501,105,649,649,500,502,369,70,503,503,800,800,504,282,282,282,500,501,501,500,649,502,282,16,503,503,800,502,501,500,500,502,502,649,500,649,503,649,500,800,503,503,501,282,503,503,282,800,649,501,501,503,503,504,800,500,500,503,649,501,369,500,502,228,800,282,500,502,800,500,813,500,501,800,502,123,800,649,503,800,503,502,800,503,757,282,502,502,503,16,807,501,500,500,919,502,282,282,500,960,502,503,503,649,649,503,501,503,503,500,800,800,500,738,500,502,500,282,501,501,501,282,503,649,503,500,500,501,932,503,338,16,503,224,502,500,800,649,800,649,502,502,649,503,501,282,503,501,282,503,500,500,649,282,282,649,649,502,501,807,649,501,502,16,500,501,503,800,649,500,500,800,346,119,502,829,107,501,503,500,500,282,503,362,649,138,501,500,800,503,800,500,800,500,282,503,501,800,649,503,800,501,22,759,800,800,649,800,649,500,502,501,705,649,16,500,800,504,500,16,649,16,649,282,501,282,107,502,500,503,501,503,501,503,649,501,502,9,502,800,500,503,388,503,282,500,502,501,800,501,16,282,107,649,500,501,800,455,800,800,536,649,649,502,501,501,800,649,503,58,500,501,502,502,647,649,502,503,842,282,800,800,500,649,501,500,500,649,502,501,500,800,502,649,800,500,800,503,503,502,800,114,649,502,501,948,503,500,504,800,503,501,282,501,501,500,16,16,649,501,502,501,183,705,800,503,502,501,502,800,503,500,349,500,503,502,504,800,503,503,502,904,503,501,282,503,800,800,649,504,501,800,282,282,800,282,502,502,500,649,800,875,58,503,649,649,502,649,501,501,800,877,649,734,18,800,800,649,649,135,500,649,500,503,649,800,500,501,649,502,500,800,16,503,800,800,502,503,501,611,502,503,503,800,503,212,501,502,800,499,501,501,500,68,649,500,502,500,503,503,641,500,800,800,501,16,649,502,500,16,503,649,800,503,502,800,502,81,502,733,649,649,649,16,282,649,649,551,675,502,500,501,502,800,500,800,501,800,500,502,800,370,16,16,800,502,502,502,503,800,900,500,772,503,501,237,649,649,501,501,501,649,103,649,501,649,323,501,979,649,502,107,502,503,502,311,800,502,282,649,936,103,503,800,501,502,500,502,649,282,800,503,464,100,800,225,503,649,800,649,500,473,503,649,649,649,649,800,503,502,502,501,282,502,810,800,220,500,769,16,502,500,503,504,649,500,800,500,649,307,800,649,503,503,341,501,501,501,500,502,501,649,800,502,501,502,503,800,800,282,800,503,502,854,500,503,649,500,800,502,500,501,503,503,500,282,649,649,800,500,501,501,500,529,800,502,500,502,800,502,503,282,503,500,503,501,503,251,501,500,955,282,16,800,282,502,502,800,500,282,800,800,501,649,502,502,502,43,472,502,200,504,857,282,503,503,503,502,649,107,800,649,649,649,503,800,282,800,503,800,800,649,649,282,502,16,800,542,503,501,503,800,649,16,649,501,500,489,649,990,800,800,502,282,902,501,500,282,16,360,502,502,503,502,501,841,599,501,502,800,501,500,800,501,104,500,502,500,500,503,503,135,649,503,842,649,800,502,502,502,501,503,800,282,502,503,800,501,501,501,800,500,649,800,501,502,282,500,501,649,502,502,152,649,800,500,502,649,502,501,591,691,800,649,501,500,282,671,502,649,16,800,16,282,649,503,800,501,649,502,503,503,800,503,649,800,500,800,282,500,502,649,649,503,502,649,279,504,503,21,477,503,501,649,282,502,282,503,500,501,762,500,57,851,649,502,16,240,501,800,503,649,500,533,501,501,274,503,502,502,800,502,501,502,502,500,57,503,501,502,503,502,503,649,500,501,938,800,504,502,500,649,713,500,649,504,800,800,800,282,282,503,501,502,800,951,649,642,874,500,649,282,501,649,214,54,588,428,504,503,800,800,501,502,504,991,502,503,282,503,500,800,502,502,102,649,649,503,800,503,501,16,502,282,695,333,282,501,649,502,500,500,649,649,649,503,800,800,282,800,483,649,500,649,800,800,501,55,501,503,502,40,500,16,649,500,500,649,500,649,502,502,649,503,503,613,503,500,502,500,649,502,503,16,657,800,751,500,282,501,605,649,800,649,944,800,501,649,502,629,501,800,502,800,800,500,502,500,503,500,503,800,501,501,503,649,503,16,503,967,800,500,501,500,501,800,502,502,503,500,501,500,501,501,502,282,649,899,649,502,800,282,502,649,500,500,502,523,649,282,503,500,626,502,190,649,309,500,800,649,282,649,500,392,649,763,649,800,649,705,800,501,503,800,16,500,800,501,800,282,504,800,748,649,500,503,800,502,501,500,649,501,649,16,500,800,649,500,649,800,131,500,282,16,16,186,502,800,649,649,649,649,800,890,501,216,649,502,649,500,800,502,502,541,800,500,649,500,800,501,282,502,800,503,649,503,501,503,502,500,503,800,501,503,800,259,501,500,649,501,501,800,800,500,504,649,502,649,500,497,649,417,501,500,501,502,500,501,500,649,502,502,500,16,500,800,794,282,504,503,800,500,282,500,500,500,502,500,503,663,649,502,501,889,502,251,502,649,501,810,501,800,649,501,649,282,800,800,16,800,800,503,649,16,800,503,503,503,649,800,413,502,501,502,468,501,502,502,503,501,503,504,800,503,649,282,500,800,503,649,464,649,649,16,649,800,282,544,6,501,502,210,503,103,649,282,503,500,649,502,800,504,500,501,282,649,800,282,672,503,800,48,800,502,503,649,503,502,503,501,282,649,500,500,501,503,800,705,500,282,800,800,504,502,739,503,500,503,502,503,146,649,649,503,503,501,695,500,502,501,502,502,800,800,998,282,503,800,170,477,550,85,800,649,502,500,502,501,282,519,500,500,503,503,500,501,800,649,503,282,503,501,959,503,75,503,500,282,282,500,107,103,800,974,337,649,800,501,649,502,502,917,503,500,503,500,649,501,800,282,800,282,503,16,502,500,501,500,649,501,800,649,649,503,16,500,501,107,59,800,501,501,501,878,800,649,649,800,788,282,500,501,649,500,649,500,500,853,800,507,501,500,502,500,502,649,503,800,16,502,270,16,501,501,503,800,282,502,501,502,503,503,501,503,506,987,338,503,649,500,501,800,500,503,649,504,503,473,501,504,800,282,503,282,501,501,107,282,649,502,649,800,502,107,500,800,649,800,502,502,500,500,649,282,503,649,649,29,503,282,501,16,800,502,800,800,504,500,503,501,649,800,500,16,500,800,16,502,16,500,800,502,610,16,649,649,501,501,503,800,800,500,103,500,503,282,500,107,326,31,16,501,500,649,501,503,649,502,800,500,800,502,800,500,649,503,503,282,800,800,503,503,500,649,501,282,282,502,441,503,649,800,503,500,649,800,536,501,502,501,501,792,172,689,800,501,649,800,501,501,503,800,501,503,800,55,496,16,501,504,507,800,282,10,501,800,501,907,282,502,502,800,649,800,500,500,649,107,671,502,500,961,16,800,282,800,500,500,501,502,501,500,642,800,649,649,649,503,649,500,500,500,502,500,500,503,500,107,649,503,800,65,501,502,502,807,315,800,107,503,282,800,800,501,800,800,9,500,282,470,501,80,800,649,800,502,507,502,649,800,501,503,500,503,500,502,501,502,503,501,667,649,503,502,502,501,501,424,503,795,503,800,502,649,501,153,500,500,649,503,649,282,800,649,501,502,649,800,502,16,501,235,502,649,282,800,800,503,501,500,500,16,649,16,500,649,800,282,501,800,800,501,500,503,649,502,503,502,495,16,107,502,649,500,109,501,16,649,501,748,800,800,502,500,500,501,501,503,501,649,649,800,282,282,688,800,500,450,649,500,282,219,500,502,103,649,139,649,800,500,564,800,391,501,502,658,504,800,649,895,502,502,501,502,503,502,800,649,503,502,800,107,282,649,502,503,16,500,282,502,959,501,649,632,501,501,800,800,16,282,621,873,502,282,16,664,800,800,611,649,502,501,500,649,649,500,501,500,800,800,502,503,800,500,649,501,16,501,501,800,501,500,501,282,504,163,800,501,500,259,503,282,865,502,528,502,503,980,800,501,150,503,502,192,352,501,501,107,649,502,282,502,690,800,800,503,502,502,503,503,502,800,800,225,503,501,502,502,411,501,800,649,501,635,649,502,502,503,649,464,282,502,500,500,779,568,226,500,827,501,502,502,501,501,502,502,884,501,800,16,501,502,649,501,503,503,500,800,503,503,956,800,282,282,223,649,500,502,282,502,800,500,500,649,649,800,500,503,649,500,800,502,282,800,502,502,649,800,498,800,649,800,800,500,503,249,777,997,500,70,16,282,502,500,500,649,501,500,282,16,503,800,681,649,649,649,800,502,649,501,503,282,500,16,503,503,500,500,503,502,501,501,800,500,503,16,800,502,16,800,504,282,800,501,655,293,501,58,500,800,800,502,503,649,16,800,503,88,501,649,504,649,800,500,501,503,800,502,16,230,503,800,16,503,282,800,502,503,800,16,919,502,502,649,504,282,328,500,208,503,649,503,500,800,282,800,504,501,502,890,649,502,781,503,649,800,503,500,800,649,800,501,800,502,649,501,503,501,16,935,500,649,16,503,16,501,501,800,500,649,649,16,500,500,649,282,502,800,501,500,800,503,649,800,926,501,500,502,500,500,649,107,800,503,503,282,503,83,363,503,800,389,800,800,501,107,500,800,502,649,871,501,502,543,501,649,282,649,103,649,649,503,501,500,503,500,502,763,503,137,764,501,502,800,649,800,800,503,649,503,500,502,800,501,501,502,800,501,503,649,501,500,503,800,284,800,649,800,649,500,503,501,77,500,500,282,649,649,501,25,649,503,894,503,501,501,500,502,502,800,502,800,649,502,282,800,649,503,282,800,800,502,501,649,800,800,503,800,503,282,503,649,800,800,311,649,649,503,502,282,500,953,512,649,315,16,800,300,462,649,800,295,800,503,501,502,672,16,649,800,504,704,501,501,502,500,800,800,503,503,282,282,503,649,503,501,500,503,16,103,500,330,502,649,4,501,800,800,503,501,503,500,502,16,502,501,503,503,502,380,144,503,282,501,500,649,503,500,501,503,282,501,800,504,501,800,760,503,501,16,501,800,800,502,501,503,503,282,282,988,800,500,282,271,593,800,524,503,800,500,649,501,503,800,503,502,487,419,282,432,500,800,502,504,800,501,502,800,501,800,649,649,502,504,500,500,501,502,282,500,501,172,501,503,503,503,16,503,16,503,502,649,503,502,503,504,501,800,501,649,502,503,806,503,800,501,649,501,503,502,800,503,649,501,504,500,500,501,503,500,500,513,502,501,661,800,903,649,500,502,501,502,469,649,16,500,649,500,500,500,649,503,500,502,800,282,282,501,501,501,619,800,282,503,796,649,501,500,282,282,501,500,501,282,502,501,502,502,71,585,502,501,649,502,282,500,800,502,385,649,503,282,504,501,554,649,503,282,282,503,502,501,503,800,282,16,16,500,502,503,800,501,501,500,282,500,503,503,610,501,800,800,649,800,502,503,500,649,282,649,800,503,500,501,217,16,500,503,500,501,501,282,649,649,431,502,500,501,503,503,500,910,649,502,706,503,649,503,503,224,282,800,282,501,800,256,500,502,500,501,500,501,501,503,503,501,773,836,282,160,117,500,502,16,324,800,16,649,555,503,16,501,16,264,500,800,485,800,800,284,111,500,800,963,503,501,148,500,649,800,800,501,502,504,649,500,502,282,800,16,501,354,16,649,502,800,107,502,649,503,501,500,502,501,800,503,503,503,501,705,800,431,282,103,502,115,649,502,567,800,974,500,503,504,502,501,502,503,282,501,649,800,501,649,502,501,16,502,501,282,503,502,500,503,649,282,502,502,502,503,503,501,500,649,649,649,501,649,500,500,502,500,61,501,649,800,649,503,503,800,500,800,282,805,649,497,784,502,800,649,800,502,800,503,503,501,649,282,800,135,500,649,649,649,500,503,503,800,800,800,282,500,800,649,870,800,282,215,502,503,501,649,282,800,501,503,504,502,504,502,908,503,649,500,800,800,502,800,501,649,503,282,502,500,501,503,16,800,649,282,503,500,504,649,800,502,370,501,649,501,502,501,649,501,502,107,282,649,800,800,501,723,800,502,282,503,282,800,16,816,669,800,503,504,502,649,179,503,282,801,501,503,501,145,800,501,501,501,501,502,502,503,501,800,500,649,503,800,503,800,103,705,55,800,502,501,503,649,500,503,16,502,800,649,800,898,649,502,800,800,100,500,800,282,235,501,502,800,503,500,649,147,16,500,739,16,649,16,501,282,170,503,503,502,800,649,501,500,501,649,500,501,649,501,800,501,502,502,800,16,800,500,504,282,800,501,649,649,649,502,500,649,649,800,16,502,503,649,502,16,503,649,500,800,800,148,501,501,503,501,711,649,282,649,503,383,503,502,501,500,502,503,649,500,503,649,800,502,800,500,501,662,500,503,282,501,800,800,501,282,503,501,500,649,649,501,501,282,649,649,800,501,501,500,503,800,500,503,500,107,503,500,800,501,703,282,649,500,896,16,503,503,503,800,800,649,500,503,502,503,503,840,503,501,503,500,501,800,409,649,502,500,649,501,501,501,282,649,500,503,502,805,649,649,800,800,502,649,282,502,800,502,282,800,800,649,800,501,500,500,800,500,500,501,800,649,800,800,282,359,649,580,819,501,694,502,16,282,500,500,500,500,501,503,502,31,282,280,16,500,800,282,501,502,107,800,502,649,800,800,501,501,282,503,649,571,659,649,807,120,282,773,500,16,800,282,907,16,503,649,501,282,501,800,800,463,282,501,282,800,502,218,154,501,502,800,500,502,553,502,800,500,502,282,500,649,800,501,649,500,501,500,500,503,500,649,500,500,16,800,503,476,800,502,501,501,503,103,649,800,891,282,800,500,604,649,800,500,548,729,503,501,502,649,502,103,503,502,502,372,649,282,649,649,502,649,800,59,16,649,503,501,502,800,503,503,800,501,224,800,502,503,500,104,688,649,503,502,649,503,800,501,502,502,800,502,500,500,649,282,282,649,502,800,500,503,12,501,504,503,649,800,16,502,500,649,501,107,500,503,832,501,500,374,500,503,282,800,502,282,800,649,800,501,649,800,501,649,800,502,502,800,800,800,503,501,501,800,16,501,503,502,500,800,282,282,649,667,16,649,500,503,800,107,503,503,969,635,502,800,500,503,649,649,503,500,282,89,501,339,501,503,503,500,501,501,282,500,500,98,502,282,649,500,500,500,282,282,48,16,649,504,294,503,800,502,503,649,800,649,503,501,282,503,503,501,800,967,502,503,500,649,800,502,649,504,16,107,649,500,500,282,550,733,503,504,649,649,649,649,282,482,800,485,503,501,501,800,649,502,378,800,403,16,503,503,800,10,503,304,800,503,649,504,503,504,230,503,649,500,649,503,282,757,800,500,800,649,438,503,502,649,501,502,503,501,800,706,500,649,500,502,500,301,502,503,800,649,502,428,649,800,500,501,405,500,649,500,500,503,649,16,800,649,504,502,501,877,800,16,502,282,502,249,503,503,503,81,800,502,504,503,503,649,502,353,832,649,502,501,508,282,502,800,800,500,800,501,649,502,649,502,649,500,500,649,649,500,282,503,502,502,502,502,444,500,649,649,649,649,501,500,649,649,504,649,503,800,503,241,500,502,800,649,282,502,800,501,500,500,502,649,649,649,501,282,500,503,16,502,649,502,649,500,800,800,500,501,500,649,503,364,502,502,800,282,649,500,649,282,503,500,502,800,282,649,16,503,649,820,500,503,800,503,649,649,282,502,282,282,500,502,500,500,501,504,282,500,503,501,501,649,502,501,501,503,649,502,800,500,16,649,504,800,649,454,800,501,282,282,502,16,503,16,501,503,500,800,282,502,578,282,282,503,800,649,649,500,500,649,107,800,649,502,500,502,692,502,800,16,500,503,503,500,282,800,649,502,649,501,501,800,309,563,502,503,800,501,649,503,501,500,800,500,502,500,503,800,282,799,732,502,502,503,500,502,282,503,282,502,501,800,503,282,282,649,501,900,503,503,113,502,453,16,503,503,503,649,800,244,502,800,684,649,502,502,282,502,800,402,800,686,800,500,500,500,282,503,800,235,282,502,800,649,211,800,649,502,649,16,502,959,500,649,500,502,503,649,500,503,502,501,502,282,500,500,503,500,800,752,107,649,504,501,649,107,282,503,501,463,500,503,502,501,503,800,503,501,500,502,800,501,502,649,502,500,502,693,649,503,800,649,501,502,501,705,501,501,500,966,502,501,500,503,501,501,500,503,649,501,649,904,500,790,800,501,282,103,800,500,502,581,649,503,16,268,649,649,500,649,211,440,500,501,800,703,649,282,107,800,502,501,502,502,800,800,502,501,500,502,500,649,176,503,504,471,500,800,501,500,963,649,503,504,501,282,501,755,649,800,107,500,504,501,649,800,501,401,502,503,502,182,500,502,800,800,502,503,569,800,649,800,500,503,649,500,502,800,502,649,649,649,282,501,649,16,503,282,504,502,574,800,800,800,16,502,501,503,649,501,501,502,951,502,282,500,800,500,502,503,501,502,649,500,649,502,85,502,501,649,649,183,502,862,500,16,151,63,501,500,503,617,649,649,800,503,799,800,800,649,500,800,501,501,502,501,502,500,502,502,649,313,282,280,16,649,649,503,470,16,461,160,800,16,500,649,649,800,501,502,501,800,503,800,800,282,502,500,649,800,503,800,16,500,503,502,500,503,501,502,501,501,503,503,649,800,500,502,504,649,503,282,282,649,649,856,502,500,500,504,133,649,501,800,282,649,453,282,282,502,503,501,502,504,649,501,282,649,503,649,503,649,501,186,500,649,800,649,800,282,500,501,502,649,956,159,503,79,501,959,977,800,267,282,503,500,502,800,649,800,503,501,107,302,503,501,501,16,55,282,503,828,649,424,800,705,503,503,500,649,503,649,800,500,500,503,975,800,502,504,500,500,445,649,800,282,503,501,502,800,501,800,502,501,649,800,502,16,503,16,502,649,502,617,503,838,649,502,103,502,649,500,500,501,800,502,733,502,192,800,502,502,282,503,500,112,712,503,192,127,945,500,501,501,500,503,502,501,649,103,769,649,500,502,500,500,282,502,500,282,800,649,120,501,502,16,366,388,500,500,649,649,649,501,865,503,501,107,276,800,500,308,500,702,781,951,282,501,501,502,800,503,989,500,504,500,500,501,501,501,649,800,800,282,500,260,28,500,502,649,282,649,800,800,649,282,800,500,412,500,503,503,800,500,282,800,503,503,502,800,16,500,282,500,649,500,32,800,800,501,800,548,500,501,282,501,800,500,82,649,649,649,500,649,190,501,814,502,800,649,502,649,649,501,16,649,500,800,502,694,500,501,501,16,502,502,544,501,800,502,501,608,649,502,800,503,501,501,503,502,501,502,800,16,501,800,907,503,502,230,504,503,649,265,501,503,463,103,989,504,500,501,500,503,503,387,500,800,649,649,978,501,500,501,282,503,800,800,501,644,501,107,649,500,503,649,503,503,649,502,503,503,500,501,501,503,200,800,934,800,503,649,800,504,409,649,500,649,503,500,500,502,649,16,800,500,502,502,503,501,282,282,649,429,282,800,351,502,502,503,649,800,500,501,952,795,500,16,502,649,10,501,503,800,800,297,500,502,282,282,502,501,800,503,800,502,953,800,649,503,953,502,649,500,307,649,502,16,800,649,800,649,500,502,500,501,800,501,649,800,649,282,800,500,501,500,800,500,501,800,500,800,282,502,502,800,501,585,30,598,500,503,503,800,800,800,800,159,502,649,800,70,800,501,800,501,503,800,502,501,239,501,16,233,448,649,649,282,16,504,502,800,500,649,501,500,441,503,500,501,502,500,282,500,501,649,502,800,501,649,282,503,500,500,800,105,500,502,500,680,502,503,500,500,649,503,649,500,501,649,16,500,501,607,688,800,649,503,503,649,502,800,800,502,503,502,824,502,501,16,464,649,502,800,501,800,502,649,282,800,649,209,501,649,501,800,16,501,800,16,416,649,649,503,502,500,500,997,502,800,930,502,500,800,501,501,244,816,503,649,188,800,282,504,800,282,500,16,503,502,354,500,800,503,503,243,502,963,705,500,503,500,501,500,33,500,107,503,649,800,500,503,503,503,282,502,503,501,503,501,502,649,874,502,282,800,501,501,501,501,801,146,685,200,800,649,503,502,732,503,502,501,282,501,649,500,800,282,501,72,16,503,502,800,828,282,649,896,502,500,107,282,800,501,503,800,504,448,502,16,501,502,800,800,649,649,208,330,282,500,282,16,502,282,502,282,800,649,649,500,185,503,649,934,468,503,800,887,501,400,649,16,649,502,649,500,580,504,649,503,500,503,800,502,649,501,604,649,649,501,503,649,503,503,433,500,649,649,16,128,503,800,16,282,501,503,800,649,792,236,503,501,282,503,500,502,282,500,618,501,452,500,500,501,649,587,503,649,800,800,742,649,504,649,16,800,500,705,282,500,500,503,460,502,502,567,502,800,503,500,649,392,501,503,16,500,502,502,613,501,503,501,282,149,503,502,800,649,16,649,649,502,970,503,584,304,501,800,968,800,649,502,503,503,509,253,521,107,501,332,501,367,413,503,393,711,502,800,502,16,500,621,503,800,800,649,500,649,502,16,96,649,597,282,16,491,502,500,800,800,282,501,501,800,800,649,630,501,500,502,649,501,800,501,500,500,501,504,534,282,649,502,901,501,649,500,800,503,500,16,649,500,800,503,501,794,800,649,500,649,500,800,16,502,500,503,500,800,800,16,649,503,649,649,501,16,501,800,649,282,500,503,800,738,501,732,800,16,502,649,282,503,282,649,649,501,649,500,502,500,649,800,502,800,500,800,501,723,800,501,282,502,649,800,649,502,503,502,500,800,502,501,502,502,503,501,649,500,800,285,282,502,502,501,276,500,282,503,503,500,649,501,649,501,16,503,649,500,500,895,502,503,800,800,16,501,800,502,800,282,501,362,502,282,547,649,649,500,501,502,649,692,501,807,752,649,500,982,649,503,501,193,500,500,103,503,502,500,282,649,503,800,500,800,57,502,501,501,800,282,282,503,503,800,503,503,78,504,503,500,282,649,649,500,800,502,834,500,503,282,649,800,500,800,501,503,649,503,503,500,649,16,800,503,649,468,501,502,282,501,500,502,126,103,503,800,501,109,503,891,282,89,501,451,500,800,502,502,500,282,668,503,970,482,503,502,503,501,800,500,800,502,502,800,282,502,800,649,867,503,473,649,220,502,16,911,500,503,583,501,649,800,263,282,725,800,503,503,502,500,282,413,501,501,649,500,503,502,282,501,501,501,502,501,503,800,500,812,500,970,164,500,503,503,500,829,496,14,649,503,649,800,501,800,788,649,639,282,502,501,502,503,502,501,500,503,503,501,800,755,502,500,504,502,502,502,16,800,649,512,502,717,501,501,502,103,649,503,556,26,503,649,501,503,500,530,16,800,500,500,503,502,502,503,649,501,500,649,501,800,649,500,502,973,800,649,500,503,107,500,103,501,502,753,880,503,500,500,282,800,503,502,649,649,800,649,800,500,800,842,500,503,37,122,843,800,744,502,970,800,501,800,800,649,501,941,502,501,500,107,501,500,502,140,800,500,82,800,649,500,16,502,282,501,242,107,282,503,501,503,502,649,649,295,800,503,800,501,649,501,503,800,915,501,800,502,26,500,800,282,649,502,504,649,501,73,16,4,502,503,500,854,282,282,107,649,502,910,502,16,78,800,282,649,502,800,800,503,503,503,501,427,500,649,16,649,518,800,341,800,503,500,501,800,649,757,501,800,282,659,800,501,500,104,501,800,100,800,503,504,471,649,500,16,649,800,500,500,800,502,800,502,649,500,800,500,649,800,503,501,800,800,503,502,282,800,500,282,649,16,60,502,503,16,501,649,659,500,502,503,282,282,502,649,503,500,500,502,502,500,501,501,39,800,649,649,501,503,995,501,502,649,501,503,649,502,503,501,282,800,502,500,800,649,502,782,800,623,649,501,501,649,503,500,503,800,649,500,501,992,503,501,502,649,800,282,501,800,555,500,282,504,503,504,502,950,502,502,649,500,282,501,500,351,500,906,800,504,500,976,351,503,649,502,16,800,501,503,501,430,502,598,649,800,500,504,800,649,930,16,503,649,282,501,800,800,800,502,399,800,282,500,649,502,503,282,502,282,649,502,800,501,238,282,501,800,16,501,389,800,132,500,502,503,501,800,282,502,818,501,500,800,501,16,502,649,649,501,502,800,423,800,16,10,800,502,800,501,500,500,503,502,503,410,500,500,16,502,458,282,500,502,578,282,63,649,800,500,501,503,501,282,370,502,16,500,501,649,503,500,288,503,503,501,282,500,16,649,500,503,260,503,800,501,503,503,282,504,501,649,107,503,822,108,504,502,282,800,800,500,800,282,26,649,131,503,501,502,407,282,503,502,649,800,501,800,649,284,800,800,800,649,502,500,800,501,502,800,503,845,504,649,49,649,649,501,502,800,649,800,604,800,404,504,501,503,502,649,649,501,502,800,38,501,800,503,800,649,625,502,503,282,800,502,800,649,492,503,800,501,517,501,502,504,502,503,282,366,649,103,527,503,503,649,500,502,500,800,501,649,649,649,273,502,649,107,203,503,500,16,502,649,624,958,503,501,294,800,501,502,800,16,504,502,591,800,649,501,512,503,800,500,800,501,503,282,502,501,16,649,502,800,503,501,501,500,107,501,500,501,501,500,649,503,501,503,16,501,16,502,503,500,16,800,94,500,282,688,500,282,649,502,501,501,503,16,501,501,503,502,503,800,282,500,502,800,502,649,501,800,649,800,500,912,16,599,503,500,502,800,649,501,649,502,800,602,649,708,800,500,649,501,502,282,800,504,800,461,503,649,649,282,800,503,503,649,502,500,745,16,503,325,501,502,501,500,500,800,503,649,502,282,501,800,157,16,501,501,501,667,894,502,503,596,800,16,800,800,800,500,504,250,649,223,282,175,649,501,800,501,502,675,501,649,503,501,500,649,649,649,107,800,800,649,502,502,501,282,800,502,502,282,647,823,500,649,800,502,500,649,500,502,500,504,504,500,16,649,501,649,355,366,502,412,282,502,500,502,800,500,502,800,500,500,800,282,649,501,649,107,282,500,78,500,503,649,282,500,503,503,500,649,649,649,462,282,649,800,800,282,409,503,282,471,649,16,500,649,500,502,503,185,100,503,502,800,649,649,649,800,16,800,503,503,501,504,503,800,649,503,501,800,502,800,503,654,502,502,501,649,503,501,649,190,501,500,282,800,503,282,800,282,500,503,282,503,800,502,503,800,501,501,500,206,501,502,649,649,800,503,501,345,504,501,282,649,500,500,282,649,503,503,282,800,503,500,16,500,446,501,560,207,502,800,649,649,649,649,46,649,423,501,500,800,103,500,502,282,503,500,800,500,800,502,800,800,500,548,500,503,389,649,502,505,800,628,502,503,282,800,186,500,282,649,501,800,649,800,503,503,502,800,800,103,16,649,649,501,503,502,502,957,534,501,503,500,800,982,649,502,500,501,800,800,555,16,500,649,501,649,649,500,503,732,282,501,649,502,501,649,501,502,503,503,282,562,500,282,282,924,503,500,649,502,503,503,500,649,282,649,828,282,800,501,502,282,501,501,353,503,935,546,800,500,501,525,501,500,649,503,282,503,649,103,503,800,419,649,501,800,800,800,540,559,504,800,503,282,800,502,502,705,800,501,282,501,502,502,649,503,501,282,502,501,282,800,500,282,649,502,800,501,500,821,649,503,282,800,501,182,800,502,503,649,649,502,501,501,454,800,504,501,282,500,502,800,282,649,501,500,500,502,305,502,649,800,107,411,101,800,504,113,500,503,800,503,503,500,800,191,502,16,504,800,501,125,501,282,649,500,501,501,800,503,502,501,16,501,502,16,501,500,500,503,649,500,500,501,502,649,800,501,504,282,649,649,503,800,500,500,501,800,800,503,503,800,16,509,503,649,800,941,16,800,649,800,800,649,800,504,649,649,503,120,222,649,16,800,649,16,608,800,500,503,649,956,502,500,502,800,503,501,502,503,288,501,649,649,503,27,690,503,800,503,800,653,500,504,800,502,282,282,501,500,500,501,501,107,501,800,500,282,503,18,500,502,501,502,800,649,222,438,649,503,800,502,282,351,501,503,800,180,282,503,794,649,501,500,502,800,504,501,502,800,612,501,503,800,107,512,500,177,500,280,502,502,649,500,496,800,282,649,501,500,716,800,649,502,503,16,649,443,800,146,500,649,503,503,503,503,649,501,800,502,501,649,502,502,7,501,502,500,502,501,91,502,934,649,278,282,500,103,502,503,502,503,16,649,502,501,501,649,800,500,502,800,800,649,16,502,502,501,503,501,503,800,904,282,950,501,503,501,501,800,502,800,500,500,800,503,649,501,649,503,503,800,501,503,649,500,649,161,502,500,502,501,649,502,501,282,103,502,800,501,649,282,504,661,501,649,800,282,649,502,503,649,649,501,649,503,501,500,898,501,800,501,16,503,500,504,16,501,502,800,500,501,504,282,800,501,501,504,501,16,501,830,504,500,430,501,500,501,240,800,800,800,501,502,503,649,500,649,649,33,16,800,500,500,484,501,502,503,878,800,501,502,500,503,502,503,500,800,806,500,745,649,507,502,500,69,16,800,649,500,501,800,16,282,501,800,326,649,502,500,649,503,800,502,649,649,503,500,500,503,587,500,800,502,774,649,800,133,649,16,282,454,502,569,503,503,501,649,503,649,649,500,373,649,16,503,282,502,466,502,504,649,502,501,503,754,538,500,486,503,501,501,282,503,537,503,501,502,501,502,282,502,503,282,503,502,500,503,16,500,501,503,500,500,649,500,282,800,649,502,649,800,500,502,501,282,500,649,503,282,231,481,503,500,501,649,649,800,500,107,82,501,282,750,502,502,800,503,500,501,503,502,16,501,649,500,820,503,800,502,502,649,503,649,328,502,800,649,500,800,501,502,502,500,984,501,16,500,502,500,501,649,282,501,282,603,103,988,503,703,649,800,649,649,500,282,501,282,502,503,500,647,649,585,282,500,800,282,103,501,649,500,720,16,502,649,804,649,107,501,800,928,800,649,501,282,500,501,500,500,279,500,345,753,800,501,500,500,800,500,503,859,501,502,501,503,502,501,649,649,800,503,282,443,501,500,800,500,503,501,503,500,649,501,502,500,503,16,282,800,800,500,502,649,800,502,649,800,800,501,282,500,800,503,500,649,503,503,502,94,53,282,800,705,649,649,503,500,500,501,500,502,723,800,500,204,503,501,502,16,232,877,754,390,800,649,649,649,800,556,503,649,649,800,649,649,649,282,501,504,503,502,503,197,282,886,501,500,503,649,649,800,500,282,649,800,504,1,503,503,16,502,500,500,503,503,500,282,503,480,649,282,800,500,503,501,652,800,500,282,847,649,800,503,649,800,503,141,800,313,502,503,649,907,502,500,649,649,504,500,500,16,966,800,503,500,800,282,501,107,503,649,649,502,500,501,500,800,501,800,800,649,649,502,503,150,800,800,649,503,500,501,500,800,800,501,649,503,501,503,503,503,649,649,502,888,503,501,501,500,503,501,502,501,500,502,16,503,501,501,649,500,800,502,501,866,502,503,950,800,800,649,500,282,500,501,777,503,649,500,500,500,503,649,503,503,649,800,500,500,500,500,502,599,501,501,800,501,800,649,649,997,16,800,649,502,501,503,501,462,503,800,649,501,656,800,500,649,649,501,800,800,126,649,502,800,502,800,649,503,649,640,649,649,282,500,504,503,192,649,609,501,282,501,649,800,501,501,500,565,500,800,800,536,503,501,649,343,500,501,503,501,500,503,501,800,501,500,799,808,500,800,500,500,282,649,282,501,504,504,503,282,501,31,800,502,16,649,500,502,373,649,649,89,503,800,800,503,500,687,649,503,839,503,703,502,500,16,16,649,649,282,501,504,501,649,502,500,500,501,500,526,746,202,649,649,501,800,282,610,649,502,502,500,282,970,500,16,649,500,16,500,502,500,282,649,800,503,501,503,503,500,800,800,6,418,500,500,503,500,649,501,501,282,615,649,800,500,484,503,500,282,502,905,282,282,800,503,502,462,503,501,649,800,501,501,500,800,800,502,800,649,282,282,800,502,503,503,282,800,503,620,119,503,800,502,503,501,502,502,502,500,282,500,501,503,500,501,500,503,649,503,503,649,503,918,501,649,502,800,501,501,649,800,502,649,649,289,501,500,466,502,649,504,501,649,231,282,501,800,282,501,503,502,502,649,954,503,800,800,16,348,597,501,500,344,800,502,500,800,502,503,501,501,476,800,649,800,649,500,503,800,282,501,649,16,501,501,649,504,649,503,768,500,107,16,500,715,756,904,502,902,501,501,503,282,282,32,649,607,500,875,500,942,501,503,502,800,500,500,504,755,649,406,649,487,649,16,502,309,501,800,500,649,800,503,649,16,503,649,282,501,503,800,800,800,502,585,501,502,282,503,800,503,501,500,501,501,500,503,501,503,501,500,800,836,800,282,800,503,241,800,515,501,649,649,800,800,502,500,500,503,503,500,649,501,502,500,282,502,503,800,800,502,501,649,16,16,282,282,282,282,501,501,500,507,503,501,432,501,282,449,503,800,500,649,501,502,800,65,800,502,800,649,750,502,800,800,500,16,500,501,500,649,800,649,282,649,179,502,503,502,502,649,500,282,800,501,800,16,659,501,649,502,503,501,500,282,502,800,649,130,500,503,500,501,282,282,649,503,500,282,16,501,502,649,800,649,16,800,501,503,502,501,500,500,502,503,502,448,527,501,502,16,800,504,503,713,160,502,500,554,503,800,12,500,500,502,428,502,500,470,501,503,500,514,501,501,800,385,525,503,502,749,503,502,282,282,649,800,649,16,501,16,501,649,103,501,282,501,800,649,491,503,649,800,502,800,500,501,29,649,256,500,503,502,503,503,165,500,501,501,500,500,500,501,649,501,502,800,800,282,649,649,850,179,800,649,741,179,282,282,503,282,800,502,500,503,16,502,16,503,800,501,503,500,713,400,800,500,501,800,800,502,502,649,503,504,800,502,503,800,500,737,282,502,503,503,500,649,502,993,502,500,800,500,800,16,282,500,649,800,800,669,649,649,800,500,16,501,100,503,800,503,500,500,16,502,16,649,800,502,503,872,649,649,503,501,502,502,282,800,503,282,502,800,503,500,500,649,500,800,502,878,500,503,501,500,800,649,16,554,282,800,649,282,502,501,800,649,502,649,503,800,504,501,503,282,503,800,282,125,649,503,503,503,275,500,503,597,500,800,502,982,503,405,503,502,282,649,504,282,16,16,502,282,501,501,500,503,800,500,114,800,501,800,503,502,502,503,16,649,503,501,282,649,649,800,649,503,649,503,282,502,256,649,649,503,800,16,282,107,503,58,604,525,503,651,687,800,500,501,503,500,501,800,502,122,503,502,800,341,800,501,800,503,549,504,800,503,649,194,705,800,504,16,705,501,103,905,502,502,501,501,282,800,204,800,800,502,502,501,502,16,649,800,649,800,649,503,800,282,800,16,800,649,501,800,502,500,502,500,503,649,501,800,500,282,503,503,16,500,282,503,502,907,282,503,502,502,282,282,502,500,502,503,503,501,502,503,292,502,103,800,800,649,649,649,589,217,501,502,501,500,502,800,9,503,502,800,503,502,503,16,500,503,649,800,502,501,649,503,502,502,282,500,500,16,502,130,649,800,501,504,282,800,503,649,502,649,502,502,232,800,800,501,800,500,503,503,649,800,502,878,800,282,800,800,649,503,800,16,501,649,800,830,500,282,16,649,502,501,282,16,282,500,282,501,800,800,503,582,500,501,800,16,800,501,800,502,501,500,501,502,503,654,282,500,649,503,501,502,502,282,502,501,502,500,649,501,503,503,502,134,502,901,503,649,282,503,501,800,800,500,282,16,501,649,282,800,501,760,502,649,107,501,800,649,649,336,502,502,282,649,649,981,500,502,649,899,502,501,16,501,800,800,503,500,669,800,837,501,800,649,501,649,504,530,177,800,500,523,800,800,282,303,502,282,502,501,500,502,503,502,501,209,500,500,107,334,649,502,500,501,502,502,82,16,501,500,503,649,649,502,649,501,501,501,441,649,282,282,649,282,705,502,503,649,501,501,361,503,94,800,787,836,501,500,649,501,501,503,392,649,649,500,503,801,800,500,500,501,501,649,500,800,800,800,501,800,649,501,709,502,282,500,649,282,16,800,649,501,800,500,503,501,502,500,500,501,503,502,502,188,815,501,502,503,282,503,800,503,502,502,649,649,282,500,502,501,16,503,649,503,500,501,500,500,649,501,500,503,601,502,649,649,502,107,282,501,800,807,501,500,16,649,649,503,800,649,503,504,649,503,800,502,503,501,501,503,722,502,16,702,859,800,649,705,502,502,800,501,502,16,649,500,500,503,502,503,137,649,649,800,16,252,503,502,502,501,503,800,107,500,502,731,282,800,502,501,500,502,800,671,433,649,502,649,501,649,503,503,282,800,502,538,500,501,503,282,800,282,501,500,503,928,970,502,649,649,649,959,816,502,500,16,501,800,571,502,501,503,800,501,503,649,502,502,501,727,800,502,16,500,500,649,503,502,501,417,800,500,800,800,800,522,501,502,29,500,800,16,800,649,503,800,800,500,800,500,649,502,500,282,649,282,649,18,502,649,800,649,282,282,502,770,500,800,500,501,800,343,16,502,502,502,800,502,502,502,503,503,503,121,831,39,664,501,503,500,282,503,282,649,502,608,800,800,501,282,502,800,502,500,503,504,502,800,500,282,501,503,502,800,649,502,649,500,502,282,16,870,800,857,503,800,643,363,501,437,800,150,504,649,502,800,501,502,800,500,649,800,502,503,500,501,502,16,649,649,500,500,465,503,649,353,800,766,501,500,800,503,504,502,282,800,182,503,917,502,347,16,501,800,503,649,649,502,282,16,503,502,800,800,501,649,500,649,800,282,16,649,501,649,503,500,501,504,753,380,800,501,800,649,502,714,800,107,501,500,503,502,502,800,282,331,502,352,501,282,938,501,800,282,953,500,500,500,504,501,502,107,500,800,502,649,502,800,280,800,501,500,502,503,500,800,103,500,282,649,282,16,501,503,282,501,107,800,777,502,198,282,501,503,282,500,501,625,500,501,502,501,503,503,502,282,500,501,503,503,282,16,501,800,500,500,503,502,500,501,649,282,502,282,501,503,969,500,502,15,503,500,500,501,282,103,501,502,502,282,800,500,500,800,500,107,502,501,503,503,800,503,282,501,504,800,503,282,107,501,500,800,502,363,504,501,503,501,455,501,501,800,503,502,649,500,500,501,502,503,503,502,501,93,500,649,282,800,282,282,800,282,800,800,500,303,502,503,649,800,649,800,503,501,500,800,16,501,800,503,800,501,649,53,800,501,609,282,800,649,649,800,800,503,502,502,500,500,800,800,502,16,502,800,501,649,502,500,500,649,500,502,503,649,500,282,319,501,649,16,501,649,501,282,649,958,649,948,503,282,502,800,503,649,649,456,500,501,649,500,800,800,107,501,503,16,502,501,649,444,103,501,501,502,649,500,304,500,501,502,502,181,257,691,501,500,503,500,553,503,502,705,502,800,501,503,649,502,502,501,500,501,466,16,381,501,503,500,500,500,500,502,501,503,649,107,482,502,649,16,503,56,800,800,503,800,65,649,502,649,501,502,343,705,207,500,501,502,503,503,621,800,649,501,800,800,16,502,503,800,649,800,649,501,500,501,500,641,501,500,503,282,352,501,807,800,501,500,500,282,800,500,282,800,800,287,649,107,800,282,500,800,800,800,16,16,500,800,516,502,800,800,500,501,807,649,502,501,800,501,649,502,500,500,282,502,500,734,500,282,955,503,800,503,800,649,649,502,282,503,820,800,503,503,482,504,800,500,282,503,800,327,502,282,503,501,282,501,651,500,800,500,649,800,503,500,501,649,800,504,800,649,501,800,282,282,649,649,502,161,501,502,800,800,649,503,107,502,282,80,500,997,503,800,503,282,800,800,503,472,502,502,502,16,500,501,649,800,503,649,385,70,501,282,649,503,16,500,246,649,282,502,502,649,649,737,10,586,649,649,501,428,502,800,649,501,800,16,501,502,327,501,649,125,501,282,705,800,800,800,800,501,501,502,503,649,259,282,503,649,107,657,705,504,501,503,649,649,503,500,75,16,501,649,16,282,503,575,500,649,649,501,3,501,501,649,501,57,800,800,800,501,649,800,598,500,502,800,649,500,649,500,501,502,502,502,502,282,503,649,503,503,501,500,500,500,705,34,800,649,500,16,384,500,9,282,502,990,502,733,649,790,649,649,800,800,502,649,502,800,502,501,107,502,118,504,16,849,282,503,501,503,500,800,108,501,774,500,501,800,649,16,502,503,800,800,649,282,502,503,308,917,16,502,502,800,500,503,502,503,649,800,649,800,282,502,501,32,800,501,800,800,402,503,503,501,501,16,649,503,502,800,501,503,503,800,16,649,649,501,800,800,282,649,800,282,503,500,42,71,502,800,500,534,503,500,282,649,649,503,501,800,500,848,410,800,503,649,501,398,503,649,282,501,503,107,503,501,503,800,649,649,282,282,690,800,669,649,649,800,649,503,649,649,535,500,800,800,800,800,302,501,503,503,800,501,103,800,800,501,502,800,500,649,502,500,503,925,501,500,649,45,501,500,503,500,501,32,649,649,416,649,26,745,503,501,649,504,649,501,500,800,501,16,501,502,282,501,649,501,502,504,107,503,800,500,502,503,503,502,503,16,500,800,649,49,501,649,501,502,502,501,282,839,34,501,649,501,500,501,282,500,501,649,282,502,800,649,500,500,145,800,368,502,503,502,800,402,282,282,503,502,502,503,649,649,282,951,502,501,282,16,640,800,429,504,503,395,282,502,800,649,920,649,500,800,649,501,501,649,503,649,647,756,504,705,500,649,649,502,800,503,16,800,282,503,282,501,500,800,649,649,16,500,998,265,500,504,282,503,16,453,503,723,504,237,547,500,501,16,501,502,800,125,282,501,649,800,504,503,16,500,502,21,800,503,502,502,501,649,911,503,800,448,800,501,643,800,649,282,502,503,6,282,800,501,107,500,649,503,800,282,500,500,500,501,486,800,502,504,860,501,502,282,502,503,649,800,500,649,482,800,649,503,16,500,649,800,503,877,649,649,800,117,282,502,500,800,915,502,781,503,501,504,501,502,503,503,649,800,503,800,501,502,800,800,800,501,500,502,501,800,649,16,500,502,16,172,649,501,503,649,503,500,49,671,649,800,502,503,282,501,800,503,649,502,649,502,500,503,481,500,649,503,282,504,456,800,360,93,502,282,501,502,500,649,503,716,501,16,537,282,500,503,501,800,800,746,649,282,129,282,800,500,500,282,282,500,502,218,500,502,503,16,649,504,502,649,500,504,649,500,502,937,800,503,649,500,500,502,500,145,800,500,502,501,282,449,870,501,501,800,800,500,503,502,500,800,502,800,681,501,500,705,503,282,500,649,500,503,502,503,503,503,282,360,501,501,500,500,500,501,800,139,282,282,658,282,649,500,503,503,16,107,500,649,282,502,800,500,151,503,501,665,649,282,800,649,503,501,501,501,649,282,501,503,502,800,800,649,649,501,800,282,649,800,500,800,500,282,604,800,501,649,16,861,502,501,649,800,649,501,503,649,282,501,107,485,16,649,16,500,734,501,16,282,500,649,502,800,300,501,763,502,649,503,502,503,282,502,504,800,501,282,800,824,503,500,501,500,800,502,649,16,502,502,502,503,649,282,649,502,168,501,501,800,502,501,503,16,282,501,649,282,500,16,503,500,502,885,502,502,502,500,103,649,525,500,649,504,800,503,500,800,282,107,500,282,500,500,649,501,800,503,800,649,800,501,500,503,500,272,649,501,500,282,503,503,800,800,649,649,501,500,501,502,502,502,501,800,300,282,503,502,502,502,649,502,274,649,649,800,800,500,503,16,264,282,282,16,282,503,800,282,501,501,501,500,503,282,503,501,501,503,501,503,800,649,501,800,501,800,500,503,800,501,500,500,500,282,649,800,502,502,500,86,800,649,503,649,503,500,503,800,800,501,502,413,502,649,501,611,800,649,705,503,800,500,800,502,503,719,503,503,503,800,649,500,16,649,500,502,814,500,503,484,503,501,107,502,501,501,500,200,503,502,503,503,503,501,649,502,501,503,502,649,502,490,800,502,108,500,800,282,504,502,503,502,800,649,16,282,800,503,649,649,501,503,503,800,502,502,502,500,282,107,649,16,502,800,800,503,649,282,800,502,649,649,275,501,800,800,282,502,800,800,800,800,535,282,198,501,502,502,282,501,649,800,649,501,649,502,800,501,503,800,501,642,800,500,501,800,501,501,502,501,649,822,502,189,800,282,649,501,501,649,500,500,500,501,800,502,946,649,501,500,503,502,286,501,16,649,800,503,501,503,501,503,649,107,501,500,606,954,500,503,282,502,649,649,282,649,503,800,109,10,649,800,843,671,649,501,584,500,800,501,800,800,502,500,282,791,800,282,282,500,800,558,502,501,501,649,504,267,800,649,500,649,501,800,502,502,500,649,503,501,282,500,282,649,502,501,282,500,500,800,503,501,800,503,501,502,503,502,502,525,502,503,502,503,605,649,781,126,502,500,800,16,282,502,501,649,504,501,503,503,501,502,649,765,500,503,503,649,331,282,502,649,502,501,800,502,500,502,282,502,501,282,800,800,501,107,16,16,800,502,501,649,501,501,501,501,649,118,500,966,501,501,554,649,500,18,800,503,500,501,282,501,282,500,800,649,503,800,500,503,500,650,503,103,443,500,485,502,649,501,500,501,227,502,500,800,649,501,649,502,336,188,500,501,502,500,800,503,500,503,501,800,502,503,649,336,282,800,503,500,503,500,500,649,502,243,502,501,501,800,649,503,649,16,500,503,500,500,501,503,649,649,800,501,730,649,500,496,500,649,800,649,501,503,502,417,503,502,500,502,581,282,377,502,800,649,282,332,501,282,649,282,800,649,800,503,502,649,169,502,649,502,865,688,503,502,500,501,502,501,945,800,503,382,16,501,800,800,282,649,502,502,501,502,800,282,500,500,502,649,649,503,649,800,649,116,733,727,800,502,649,103,503,649,501,649,500,504,502,800,503,649,503,800,500,800,16,649,455,930,282,500,656,16,107,504,899,800,500,503,503,503,800,649,649,501,502,501,504,501,649,202,933,501,800,500,500,800,503,800,502,504,758,500,800,649,649,501,503,800,302,503,748,504,503,525,502,649,282,503,502,698,503,500,536,503,705,500,107,977,812,500,503,649,500,502,704,502,800,282,500,649,848,501,649,500,649,503,800,501,649,500,800,282,503,502,500,800,503,649,502,501,500,503,501,500,502,503,800,500,649,502,109,282,16,79,503,500,203,502,501,800,649,649,488,103,800,103,800,800,800,355,503,282,16,649,504,800,503,482,503,500,282,301,503,649,502,648,502,800,501,16,500,808,16,500,649,549,500,503,649,503,800,649,503,503,282,500,502,800,503,501,993,501,649,800,34,649,625,502,107,201,501,502,503,502,282,800,501,501,503,503,282,649,215,649,503,800,282,800,502,632,649,800,500,503,451,11,502,501,503,500,501,502,800,738,728,800,503,649,649,502,490,103,500,282,800,724,800,503,351,501,503,649,800,649,500,503,370,501,503,500,282,845,649,502,649,800,500,503,502,501,500,282,503,500,149,649,649,501,502,102,500,295,842,282,501,500,500,633,800,649,282,461,649,503,649,500,82,103,282,800,649,296,503,16,800,712,800,744,501,800,243,282,16,502,503,503,500,807,649,501,107,800,800,501,630,501,109,501,649,502,502,503,649,501,502,503,503,107,16,800,649,649,120,501,500,649,282,500,800,649,500,800,502,649,800,800,502,502,501,501,800,503,502,116,16,503,282,799,500,649,282,502,501,649,800,16,501,501,500,501,504,503,502,800,800,765,649,500,502,503,503,107,501,502,649,500,825,503,500,502,649,649,501,800,500,107,866,649,649,500,501,502,500,501,503,767,649,282,649,282,501,501,800,607,16,649,649,84,282,501,501,504,393,665,107,501,500,500,502,16,800,502,503,503,502,800,501,649,500,501,16,282,688,501,500,500,649,800,107,800,800,800,502,501,282,800,502,500,649,501,16,282,501,503,649,501,282,502,502,503,500,282,500,502,800,800,16,565,501,800,800,800,649,501,282,649,502,649,649,502,649,649,500,800,502,103,282,502,16,503,282,649,649,649,282,503,503,649,16,497,800,503,282,501,583,16,649,800,503,502,503,501,500,800,501,502,393,800,502,501,649,500,502,649,500,800,503,500,800,800,500,649,502,282,502,500,800,16,388,649,663,500,500,502,502,503,282,832,500,549,831,503,503,503,503,649,649,107,800,800,282,502,282,800,502,398,373,502,501,800,800,502,800,500,502,503,500,649,500,502,501,649,800,960,501,6,502,502,204,502,649,85,502,16,501,502,501,649,502,502,501,500,500,649,500,502,501,282,800,500,503,503,800,649,386,501,840,502,282,282,502,800,981,649,800,502,503,502,501,501,503,500,500,500,502,282,908,501,575,501,800,649,503,161,282,225,502,836,998,714,282,500,649,500,501,501,683,800,501,500,782,502,800,502,500,503,107,282,500,800,649,501,649,282,282,503,502,800,500,800,500,16,500,503,800,800,649,500,282,501,503,500,503,500,800,503,737,800,16,856,502,282,503,501,503,503,503,649,502,500,500,16,649,503,706,503,502,502,503,503,282,649,107,73,800,16,454,500,503,503,500,306,501,282,501,663,16,501,533,649,282,800,500,503,502,649,501,282,674,502,501,800,457,649,503,501,16,452,503,649,500,649,947,800,502,800,649,503,502,282,503,107,649,507,16,500,282,501,503,502,500,800,500,649,502,800,649,501,500,800,501,649,503,503,502,560,282,500,958,800,800,500,649,500,503,500,649,352,500,649,800,649,503,502,504,502,500,502,649,502,282,705,282,503,500,649,649,503,16,502,502,503,16,800,503,500,503,500,287,500,103,16,501,501,282,677,503,157,649,96,503,502,282,503,502,501,649,502,649,500,501,500,649,503,817,649,502,649,501,502,501,649,502,502,501,649,800,502,503,780,503,989,863,404,800,503,502,502,649,282,16,503,500,649,800,800,503,500,649,649,512,649,502,556,501,500,501,649,800,500,972,97,212,501,500,502,375,107,660,649,649,500,649,503,282,500,502,548,501,800,500,800,500,500,440,282,502,501,500,649,800,649,858,330,649,282,502,500,501,503,282,918,337,502,800,502,800,501,649,501,800,649,501,649,649,171,588,755,500,16,503,800,503,649,282,500,500,501,502,835,705,364,503,500,21,502,649,16,649,500,500,16,502,503,282,501,649,503,504,600,649,504,500,800,504,698,282,282,501,502,502,502,563,501,502,502,800,800,800,800,800,759,501,501,503,649,16,500,503,501,500,649,649,76,282,500,649,649,800,649,504,800,188,503,328,500,282,501,502,812,504,500,501,800,800,800,975,501,800,502,503,949,834,800,501,503,503,500,282,282,282,501,500,708,501,649,649,282,649,500,282,503,976,502,503,649,393,745,503,649,500,502,503,503,800,500,501,500,501,800,282,502,649,615,649,503,502,502,503,502,502,16,800,502,800,800,282,536,500,261,649,282,503,503,502,500,501,500,503,282,504,502,501,800,649,501,649,649,649,500,500,500,800,800,502,502,922,501,726,800,800,501,500,503,282,849,501,503,503,649,282,502,800,64,282,500,504,649,500,800,502,501,800,282,829,69,501,502,500,501,500,16,501,649,502,800,16,282,316,800,282,82,501,500,649,500,649,501,800,800,503,501,800,649,282,501,282,800,502,502,502,503,501,501,16,502,501,649,282,502,503,100,500,501,504,500,800,834,649,503,649,800,502,500,504,501,649,161,501,503,649,238,800,945,649,502,502,502,501,800,500,644,503,502,800,501,800,503,800,16,501,710,383,501,501,282,800,800,504,502,493,660,500,500,503,502,503,503,649,53,649,282,800,502,503,502,649,500,573,502,282,800,502,500,16,16,723,503,800,649,210,503,67,500,501,649,503,800,400,649,503,800,16,503,649,282,502,103,500,502,210,502,503,649,502,394,649,501,503,500,503,79,647,501,503,107,502,503,649,503,500,504,500,649,501,32,800,215,71,504,800,501,500,809,800,502,282,501,500,503,502,501,504,800,503,800,503,503,504,501,800,503,500,501,649,649,501,282,35,800,322,907,502,503,500,501,502,800,503,649,501,800,800,500,800,800,500,500,22,800,24,16,800,705,940,503,501,800,501,801,500,503,501,501,502,500,502,501,800,234,282,16,501,989,501,392,649,419,16,282,501,16,800,649,649,503,282,649,503,500,809,501,800,800,503,500,502,502,503,501,503,649,501,500,501,501,502,800,500,800,501,183,536,502,500,800,705,503,649,500,504,502,501,500,955,502,716,800,282,649,500,504,395,649,500,649,502,502,374,501,11,729,502,500,16,16,800,500,502,503,800,501,503,501,282,800,502,276,800,502,502,500,501,502,800,501,800,500,649,282,503,800,649,501,503,649,247,503,502,282,501,501,501,117,501,800,503,503,502,649,504,502,500,503,501,501,649,800,772,997,282,282,649,800,649,649,662,694,501,485,500,500,502,800,103,800,282,800,366,649,13,557,880,500,503,503,107,503,504,500,800,800,649,501,503,502,992,500,500,282,500,649,800,502,282,503,502,501,503,500,800,649,500,649,649,649,649,504,809,500,649,800,16,649,800,282,502,504,500,503,500,503,256,502,500,649,500,388,316,503,800,500,502,503,282,649,500,649,649,276,502,500,242,500,501,503,800,502,501,103,649,214,501,800,282,500,800,501,282,800,501,800,16,503,503,503,649,500,282,500,502,500,500,501,500,501,503,100,928,649,500,503,741,501,649,501,503,282,502,800,800,107,700,800,500,503,500,502,501,501,755,411,649,800,500,282,649,501,800,800,502,859,503,501,372,501,282,258,649,501,504,91,501,16,258,500,16,501,502,502,861,500,296,500,503,282,16,502,649,600,800,500,500,503,501,800,210,501,800,503,800,649,503,500,500,159,501,502,800,649,500,649,800,500,372,502,503,411,800,16,800,800,503,501,257,501,606,502,282,501,282,502,453,503,799,220,503,502,649,502,16,500,503,501,649,503,800,16,649,649,268,282,457,385,500,282,649,800,503,649,16,800,767,649,282,502,501,502,800,649,503,503,800,502,999,968,500,501,501,261,800,800,502,800,501,412,503,800,502,503,282,500,800,501,500,242,500,800,500,503,500,501,501,800,16,503,502,501,649,501,649,160,500,16,11,500,16,672,16,649,500,503,445,501,503,649,502,800,649,649,501,500,504,939,500,500,502,500,501,503,282,461,800,500,649,800,501,649,503,649,500,649,503,501,432,501,16,503,649,649,931,502,808,503,501,503,501,500,800,503,649,504,500,500,649,800,800,503,503,891,16,123,282,800,502,501,649,503,501,503,800,500,500,501,649,649,649,501,500,649,16,501,503,649,649,502,694,501,800,500,555,500,504,500,16,500,500,503,649,507,800,800,115,500,800,501,649,16,282,16,649,649,649,800,938,502,502,500,503,787,503,606,755,501,503,501,503,282,649,502,484,649,779,500,16,501,500,502,503,649,502,500,107,501,800,503,16,501,16,649,502,656,542,649,503,501,501,500,501,282,502,800,502,282,503,501,502,503,501,684,503,500,502,16,503,800,503,504,502,501,500,501,16,502,800,282,649,800,502,500,502,800,502,649,504,649,649,705,800,502,501,16,800,260,20,501,839,549,800,649,500,800,649,374,502,649,502,65,502,502,282,649,16,282,501,500,500,501,502,649,649,500,257,16,309,502,500,800,500,503,503,282,501,800,500,500,908,503,649,282,649,800,502,503,800,502,800,800,462,503,500,502,649,16,501,649,503,503,282,282,73,500,800,501,504,502,649,743,502,282,501,503,500,502,190,500,502,16,251,800,800,503,813,649,800,500,502,649,501,501,117,503,800,501,16,877,649,503,503,503,501,282,502,649,500,245,503,503,649,503,800,800,502,282,800,107,800,503,501,500,503,502,502,16,649,501,800,501,500,503,502,501,503,501,504,501,649,282,503,503,800,119,500,502,16,503,881,107,617,503,649,503,503,649,800,502,502,503,502,800,502,800,282,502,800,979,800,800,501,502,500,503,502,501,502,500,649,800,484,51,502,649,656,649,895,501,800,502,500,503,501,649,501,501,411,800,649,800,500,16,649,616,78,500,12,501,501,501,649,358,503,649,502,649,800,500,87,500,503,503,500,800,800,649,502,800,503,500,500,501,501,737,502,4,649,649,649,503,800,503,800,282,501,501,649,503,501,815,502,502,282,671,502,82,649,671,503,107,109,500,16,851,502,500,282,148,800,763,501,649,501,282,502,503,282,503,727,504,800,502,500,500,503,282,501,649,500,16,502,501,503,16,800,502,672,503,800,874,502,282,16,649,503,639,502,800,282,649,800,964,500,800,501,504,502,501,649,500,501,800,501,649,503,16,503,503,282,500,504,541,500,649,649,500,503,502,504,500,800,501,800,500,500,187,384,649,16,500,500,16,16,500,800,800,629,502,649,501,501,932,282,147,501,282,501,507,504,501,503,502,649,649,687,16,501,800,800,649,649,502,502,16,502,501,500,500,800,500,502,502,649,501,500,22,503,502,503,503,649,649,504,500,502,501,798,501,502,649,649,502,401,649,501,501,506,503,500,850,502,313,282,503,501,501,750,202,503,750,503,649,503,501,282,649,800,500,154,282,502,649,500,500,548,190,282,649,649,150,501,16,186,649,500,500,282,500,500,649,503,282,16,282,502,503,800,502,503,705,649,503,282,503,800,503,503,919,800,504,502,649,504,500,649,503,501,263,504,501,502,649,800,500,501,500,649,705,538,16,649,501,500,282,795,503,83,649,282,501,282,414,190,500,16,282,800,500,503,501,800,503,500,503,649,501,282,502,649,649,649,502,800,500,800,800,503,502,501,500,16,502,502,502,649,937,501,500,704,503,503,503,501,501,503,504,85,500,503,649,502,649,503,751,573,649,282,500,649,649,800,500,649,502,282,501,800,503,502,501,501,502,503,649,503,16,501,500,916,502,501,441,649,501,500,501,504,501,503,501,502,500,502,16,501,502,282,502,503,16,502,16,16,503,501,500,641,503,649,282,503,649,307,800,800,282,649,282,1,500,800,501,503,502,500,649,800,502,501,503,502,501,502,282,500,649,282,800,454,649,503,800,502,282,103,800,16,503,800,282,282,503,107,503,502,500,503,500,757,502,501,282,107,800,500,503,657,538,16,16,503,800,649,504,503,800,282,502,502,501,500,649,500,800,282,502,649,503,503,501,501,503,800,503,500,503,500,800,800,800,501,570,800,382,522,800,441,502,282,323,501,800,501,649,500,649,16,357,261,500,501,107,800,502,800,800,503,503,500,500,500,649,119,502,503,500,503,500,500,504,649,502,649,501,244,502,504,501,502,500,800,500,869,502,282,501,649,503,500,501,800,103,500,503,503,500,503,282,502,649,800,501,800,800,16,502,502,800,503,501,500,800,500,501,649,500,16,502,844,849,800,103,649,500,502,500,649,16,504,502,503,502,649,949,705,500,502,282,16,800,800,501,649,502,502,500,987,649,649,282,500,282,503,504,501,504,503,501,501,500,800,502,4,649,500,503,502,733,501,500,500,800,282,503,435,800,591,502,800,800,503,649,282,649,649,501,800,212,800,800,500,282,500,282,501,501,501,755,282,649,649,504,500,348,501,503,501,800,16,282,649,649,500,800,501,502,800,235,502,502,974,500,103,800,242,501,944,500,649,504,501,502,501,501,649,500,800,503,282,503,501,502,501,800,503,502,800,502,649,500,501,501,500,500,800,503,503,501,16,800,500,502,103,950,800,502,800,502,800,503,502,502,649,800,649,941,502,502,732,800,503,800,500,500,503,501,503,501,282,501,503,649,800,800,502,503,561,503,502,800,649,800,502,24,800,503,502,649,502,502,500,33,502,107,501,501,502,282,800,501,800,503,800,817,800,800,800,282,107,789,501,503,649,500,107,800,649,649,282,500,282,16,501,503,649,425,500,427,541,500,282,854,649,800,502,501,793,800,16,800,649,503,502,800,503,649,500,800,502,800,503,500,327,618,282,995,502,500,503,500,502,500,704,16,502,800,502,649,501,500,501,502,502,667,369,501,721,800,502,252,502,501,107,136,152,503,282,466,934,500,473,500,500,649,800,800,800,502,800,501,800,500,370,502,598,504,503,800,320,503,501,503,500,501,800,500,501,235,502,830,502,500,179,502,273,649,800,649,265,649,800,716,649,539,500,502,503,501,501,800,282,649,16,500,103,136,431,500,282,800,503,500,800,500,502,501,282,800,800,800,649,500,282,501,282,649,800,500,501,502,284,16,649,503,182,500,503,501,503,503,501,500,503,501,113,576,700,414,501,412,502,502,282,848,649,504,649,502,800,501,276,853,500,669,468,501,503,800,502,800,502,500,107,800,649,500,778,649,503,501,500,504,503,502,500,502,501,502,501,502,282,16,501,649,800,178,501,500,649,800,649,503,503,16,500,800,502,800,16,500,501,502,501,503,501,612,503,649,800,503,649,501,503,107,502,954,501,501,501,501,503,501,431,800,501,500,16,501,504,649,666,800,800,800,800,500,423,800,308,282,800,800,500,500,800,501,503,649,16,282,927,500,282,675,502,649,500,501,503,173,107,619,502,503,649,502,800,503,800,104,194,502,282,282,107,800,502,500,503,649,500,16,749,649,103,800,800,500,503,503,501,800,501,171,503,501,500,781,907,282,501,16,649,503,649,649,50,422,649,500,502,502,501,502,501,649,504,503,167,282,649,503,502,532,500,282,503,16,282,282,800,500,282,501,503,503,931,502,35,282,649,885,338,807,703,500,800,500,539,396,800,282,228,502,501,503,500,500,595,504,800,502,500,649,500,502,501,649,500,759,649,800,500,282,649,503,800,503,501,501,502,473,583,800,501,282,649,503,910,502,503,501,502,501,502,437,282,800,502,649,501,502,501,649,500,649,649,503,800,587,503,502,502,500,502,502,282,800,502,16,418,503,502,282,649,721,501,503,501,282,800,800,503,501,691,800,501,500,800,503,501,503,503,800,649,500,649,714,503,501,504,500,501,282,500,501,503,107,502,800,500,500,500,683,800,503,576,501,282,500,16,635,800,800,503,282,649,282,503,503,800,282,500,666,800,390,500,500,800,800,282,502,137,503,502,501,503,747,282,800,800,103,500,282,800,759,502,500,502,373,502,502,502,502,502,503,282,682,503,503,501,503,649,16,282,501,503,282,502,504,501,501,502,137,500,282,649,959,502,649,500,649,500,500,16,500,500,501,800,501,503,501,503,502,107,500,800,503,800,169,500,282,500,649,501,577,649,800,503,503,501,501,502,504,374,800,800,503,16,282,501,503,800,271,282,503,502,282,502,931,800,649,501,59,501,891,274,501,504,649,800,800,501,800,649,763,502,502,282,691,800,501,502,500,500,926,649,502,501,31,500,500,800,282,282,90,298,649,503,649,800,500,503,502,502,500,501,690,800,649,501,502,41,503,500,649,282,501,503,259,500,800,501,457,282,501,500,502,500,504,649,800,500,503,649,807,649,503,484,800,972,503,501,649,461,503,282,649,800,500,282,752,503,282,649,649,16,502,503,500,668,649,649,500,501,501,502,502,800,800,782,282,500,501,800,502,16,503,984,741,649,107,502,500,978,800,502,16,800,226,501,824,800,500,649,501,800,500,500,502,649,649,17,500,500,282,502,800,649,16,502,282,649,705,800,502,282,501,501,500,502,649,649,16,500,503,503,649,649,800,390,501,502,503,649,800,502,502,504,501,503,500,649,504,103,649,649,501,107,501,502,318,504,501,461,500,800,500,107,503,649,503,500,502,16,800,649,502,500,282,503,190,800,500,502,649,800,705,649,502,503,502,800,503,668,504,800,500,282,501,503,503,501,649,502,502,16,502,501,649,500,103,500,5,500,501,501,503,500,968,800,649,800,502,800,500,932,504,501,282,477,500,795,503,800,185,503,501,822,500,502,503,282,858,649,800,649,800,501,649,991,800,16,800,800,501,282,649,501,720,282,500,501,282,503,800,501,500,282,800,649,503,500,502,721,649,503,501,502,282,503,800,503,800,800,800,501,503,195,649,800,502,501,502,649,16,589,503,502,800,503,500,501,501,800,800,649,503,887,501,503,800,819,800,872,16,503,107,500,282,649,649,282,500,500,800,503,500,502,16,502,502,502,503,649,282,800,501,282,649,649,502,649,282,649,501,800,16,502,500,800,188,503,457,561,501,501,282,501,649,503,501,800,501,282,503,501,502,649,762,16,500,610,784,503,501,282,501,502,500,282,500,503,16,500,800,503,501,500,502,502,796,502,244,282,746,649,800,649,649,649,649,503,194,502,984,502,500,501,800,282,705,503,800,800,649,503,501,500,501,503,930,649,501,16,560,607,649,800,500,649,649,800,502,502,649,501,800,503,502,502,503,502,107,500,503,282,800,502,503,649,649,502,16,649,649,500,389,500,500,502,800,503,282,848,503,502,282,649,502,500,501,501,282,503,282,500,500,500,503,282,649,989,82,649,501,503,501,282,503,190,16,800,501,896,501,500,500,502,117,502,572,501,731,500,649,503,282,800,500,500,502,649,800,501,503,501,500,502,501,649,503,503,504,282,965,503,387,649,725,500,649,503,16,649,649,800,501,16,502,649,800,282,503,501,502,800,800,500,503,503,395,501,501,503,502,321,935,800,916,649,649,267,503,500,502,500,649,503,282,800,500,282,611,501,316,501,501,649,501,504,502,500,503,154,503,282,502,503,503,503,800,501,282,282,800,649,503,500,800,649,649,500,501,503,107,800,686,502,501,800,295,800,649,282,503,800,501,282,500,89,503,501,800,501,501,193,503,502,500,800,282,916,66,500,282,800,504,503,502,503,503,800,649,503,649,501,260,16,502,519,282,282,500,503,800,808,800,800,800,500,502,501,800,501,502,649,282,627,649,502,500,282,502,282,501,649,501,9,500,500,502,501,502,503,282,649,282,500,751,282,502,501,649,282,800,649,282,282,720,649,282,800,800,649,649,649,282,800,501,800,649,800,649,282,716,503,16,649,501,502,649,503,503,649,966,500,501,503,500,800,800,500,503,504,292,800,282,282,506,16,501,500,649,500,503,800,503,649,107,503,35,282,500,810,284,649,500,501,502,500,501,503,503,501,800,501,503,107,503,502,282,501,502,503,501,500,501,16,501,501,292,501,502,501,503,500,503,503,503,502,832,500,502,800,500,500,800,503,282,616,502,800,800,649,282,829,649,649,500,16,503,649,649,282,282,502,500,962,502,16,800,330,504,649,501,500,503,282,649,800,125,500,16,500,282,502,800,500,145,503,500,908,501,800,501,800,443,668,501,46,16,503,503,16,713,649,501,502,501,501,500,282,501,502,128,146,992,16,500,500,501,502,282,503,502,503,345,649,16,649,500,113,503,500,649,501,503,502,502,649,899,326,458,800,282,800,501,649,503,501,503,388,282,649,501,999,500,807,88,16,503,501,800,282,800,800,282,500,500,551,649,503,649,501,800,501,500,649,107,800,359,16,500,502,501,177,500,502,616,800,649,649,502,800,800,501,16,504,503,501,800,546,282,500,500,502,503,501,502,176,649,500,16,502,503,501,282,502,500,77,965,501,649,500,800,501,503,45,503,800,500,800,500,282,503,800,649,60,502,504,504,649,649,610,504,649,800,285,500,502,500,132,800,502,649,813,282,107,282,649,107,501,500,561,16,800,501,16,500,502,800,970,282,502,503,282,800,503,172,501,649,503,502,16,503,354,800,649,500,500,501,800,800,649,649,502,501,649,502,502,501,282,774,500,502,485,500,503,503,504,649,502,800,98,110,502,503,501,124,502,800,282,649,502,500,503,800,500,500,649,501,649,950,503,500,175,853,649,503,779,501,503,503,503,197,649,503,282,501,800,502,500,504,502,649,500,503,503,504,649,941,282,502,166,282,515,504,16,570,501,502,734,502,800,649,649,503,649,504,226,800,502,312,501,804,457,500,501,282,500,501,500,501,800,41,800,500,500,800,282,649,503,800,649,649,16,649,282,501,649,501,502,501,503,500,503,649,104,800,800,503,503,501,502,502,503,282,500,503,800,502,649,800,282,649,501,282,282,16,500,152,503,501,500,107,282,502,500,705,503,800,649,649,503,800,649,503,503,107,502,502,16,500,502,502,501,800,503,503,16,500,649,500,649,282,503,500,16,502,500,649,500,894,502,8,800,307,501,503,500,867,800,507,500,503,504,800,503,282,500,502,16,503,502,500,500,649,830,501,77,800,501,282,503,649,502,649,502,503,107,502,503,503,530,501,503,282,502,503,500,800,16,500,872,800,282,502,649,501,501,800,503,500,63,501,800,501,800,501,501,649,500,282,496,800,107,500,502,503,503,649,501,500,914,500,500,800,502,502,501,282,503,282,503,282,500,981,501,501,500,16,500,501,649,649,500,800,502,500,502,501,503,800,502,501,800,502,800,649,500,649,500,282,502,649,16,216,503,504,702,502,502,500,549,649,282,501,501,16,649,503,500,500,282,800,800,800,629,123,310,503,503,501,649,503,282,501,528,500,503,500,502,6,503,500,16,501,282,503,800,502,502,503,800,502,800,282,282,500,503,504,504,800,495,705,500,503,502,649,500,800,503,282,649,800,501,503,502,649,708,502,800,649,16,502,649,800,649,502,500,502,800,502,501,504,501,649,800,800,772,501,649,282,500,500,963,500,16,500,800,649,500,800,800,649,800,501,501,649,503,501,282,501,955,800,502,502,800,649,501,500,501,504,947,649,502,500,502,649,268,800,800,496,502,649,503,586,503,502,502,800,282,83,503,502,20,502,800,282,502,502,500,502,502,800,800,503,800,107,500,500,282,800,503,502,800,501,800,502,501,500,800,800,501,649,103,501,503,800,503,800,501,800,16,16,501,282,501,501,649,800,504,800,800,504,503,522,649,502,649,649,520,649,500,796,502,649,501,282,501,502,807,502,649,649,503,800,330,800,282,502,501,282,282,501,649,649,503,500,620,649,503,502,501,800,649,500,500,503,501,500,649,502,503,282,4,503,804,353,649,503,800,502,503,503,649,895,503,501,500,649,500,649,649,500,502,653,500,502,503,500,800,800,503,503,501,800,503,800,649,800,502,503,500,500,928,288,502,649,605,500,502,502,282,502,500,500,800,228,504,503,501,569,273,800,800,209,504,502,500,502,502,10,309,500,897,800,501,649,282,504,666,501,502,501,500,800,649,344,282,611,800,502,500,392,501,504,800,704,800,649,800,649,422,649,16,503,800,502,669,800,16,183,800,501,501,501,503,800,800,282,501,800,503,760,649,282,937,128,800,500,501,502,500,500,502,503,649,500,502,501,999,502,503,503,501,800,502,502,800,501,500,500,500,503,503,504,800,800,383,252,501,282,800,503,649,501,425,503,282,502,800,501,282,107,501,501,649,500,503,916,649,503,502,921,26,16,501,986,282,649,502,649,649,501,951,649,503,800,649,501,16,501,800,649,649,282,503,503,649,502,684,502,649,502,282,649,502,649,649,800,282,346,500,649,649,800,800,282,584,282,500,503,500,649,282,282,500,282,502,501,502,800,502,503,500,401,801,649,800,16,800,504,500,800,800,16,501,800,16,114,735,800,649,800,282,154,501,282,649,502,800,800,800,504,665,649,500,282,199,16,545,800,503,346,800,500,503,649,500,649,16,282,791,16,649,282,500,800,500,800,963,501,849,502,500,500,500,500,500,16,501,168,649,503,503,501,282,800,800,501,500,107,282,500,500,16,500,503,563,503,649,800,501,541,501,501,649,800,103,502,500,800,282,503,500,503,649,909,800,500,800,649,800,649,16,501,16,522,107,109,504,500,647,502,500,501,800,500,500,508,800,502,800,500,286,501,107,481,502,16,649,503,502,706,282,500,118,800,649,501,800,502,501,649,107,103,502,16,502,504,503,57,800,502,800,938,381,503,503,501,16,282,504,502,649,502,282,649,502,800,502,649,649,503,800,502,500,501,649,501,500,502,800,649,290,655,502,502,833,282,502,649,502,500,502,579,649,214,501,501,282,103,500,500,500,282,649,649,501,503,800,604,501,16,282,160,800,282,500,800,502,649,800,649,501,849,800,649,502,649,649,502,502,501,504,502,502,649,18,845,800,649,500,282,282,649,282,500,649,800,501,800,649,501,282,649,282,16,282,500,501,501,752,264,500,800,500,282,649,649,282,503,16,501,800,442,502,16,800,800,500,107,282,502,282,502,800,503,503,649,501,800,503,649,800,500,502,500,394,800,502,800,500,868,2,617,502,501,502,503,502,800,16,649,501,501,926,800,649,649,500,705,503,501,800,501,500,282,282,501,502,501,649,503,503,587,501,800,502,800,502,502,649,649,800,16,502,500,501,427,649,500,503,800,800,649,503,502,500,800,501,800,800,16,800,502,500,500,102,503,649,503,500,800,502,282,165,501,800,800,502,503,503,800,965,800,558,500,503,649,649,800,800,800,800,502,282,502,317,828,502,649,649,800,282,649,16,649,503,649,500,501,239,500,502,748,462,502,649,502,500,503,501,502,800,863,502,502,503,627,500,502,800,649,502,649,800,102,282,501,549,503,800,800,800,503,649,800,933,502,500,502,649,282,501,503,800,113,649,502,9,497,649,501,501,500,16,501,649,502,501,836,282,500,503,800,414,800,500,502,649,501,502,649,501,503,500,503,503,501,503,501,500,649,501,649,800,502,649,503,649,503,180,649,502,500,271,800,800,984,649,504,282,282,501,501,500,103,502,800,649,899,410,502,99,504,503,649,504,500,500,237,800,502,501,503,800,501,501,649,649,500,501,502,282,500,501,800,502,603,592,649,649,504,800,252,649,800,800,282,501,800,884,500,800,649,649,649,500,248,282,502,649,282,649,182,500,800,467,500,282,800,649,282,503,705,500,501,501,500,502,16,649,800,500,544,800,503,502,503,503,503,500,649,604,501,800,649,501,800,282,501,500,503,500,701,282,504,649,501,503,800,16,649,500,502,649,502,500,500,501,282,501,604,800,800,502,649,501,649,501,649,107,500,501,816,503,800,649,500,649,534,197,500,282,187,666,502,649,503,185,501,129,501,500,500,501,171,928,502,282,501,503,649,649,501,226,501,107,282,800,282,502,503,500,282,500,282,502,500,501,649,207,501,503,541,502,599,800,503,800,503,503,482,501,503,807,800,649,503,502,282,800,500,504,16,501,107,502,43,501,800,501,282,502,34,500,504,649,649,502,649,282,800,800,16,502,501,800,80,503,649,649,800,500,503,649,649,800,503,649,836,502,501,501,649,502,503,503,500,501,282,769,260,501,502,649,501,16,800,501,502,649,282,16,282,800,800,282,649,800,282,282,649,649,501,501,503,282,980,503,800,282,502,500,103,503,504,500,282,504,800,967,500,649,500,502,503,337,282,649,383,800,501,261,502,502,800,800,500,649,800,502,500,502,649,800,500,502,800,503,800,800,503,420,501,503,762,16,503,504,503,501,501,501,503,502,501,500,501,207,503,503,397,915,501,502,502,501,839,501,800,500,503,500,649,800,16,649,16,649,500,604,503,49,649,501,649,649,354,800,101,502,501,501,364,504,504,800,502,500,501,649,503,445,503,501,800,502,800,649,466,502,479,800,282,502,502,503,649,800,503,501,705,501,16,503,502,800,500,502,501,501,800,503,760,504,502,500,500,282,501,503,649,500,487,504,29,502,800,504,282,800,500,608,800,501,503,800,500,472,501,649,503,500,800,502,503,16,800,800,502,800,287,500,800,501,503,131,504,649,279,649,809,500,501,500,705,254,501,500,503,500,500,500,491,282,800,800,282,809,500,501,502,500,501,500,282,501,501,649,282,502,501,501,503,309,500,503,500,503,282,800,503,649,500,503,16,503,501,503,502,500,649,731,502,649,500,282,895,503,500,503,500,503,500,502,649,649,238,501,800,503,503,502,501,800,800,501,502,649,800,502,282,500,282,107,502,282,282,649,501,502,800,501,501,502,23,504,472,649,569,502,503,282,501,482,282,500,503,501,501,649,500,501,502,649,110,500,500,503,827,649,800,649,18,501,500,800,800,503,500,649,800,649,501,649,501,501,649,649,826,503,649,800,502,649,503,541,502,784,800,800,502,800,502,500,103,503,501,500,649,649,16,649,503,500,502,107,500,500,282,501,800,501,500,800,282,638,649,501,649,800,501,649,500,502,500,16,282,500,501,85,501,501,800,503,141,16,503,500,16,502,282,282,503,502,503,16,649,259,282,501,16,503,234,502,800,16,447,649,502,500,500,16,501,649,679,649,503,800,48,503,502,502,500,503,433,16,649,502,500,800,800,649,500,800,649,500,800,502,107,649,800,504,16,502,502,500,503,282,500,501,800,649,501,502,502,500,800,107,122,649,503,502,722,503,500,502,16,500,800,501,501,649,282,800,106,705,502,502,502,503,502,503,500,504,800,210,500,503,500,800,501,430,649,503,502,500,500,800,504,114,800,500,611,649,649,500,107,649,500,501,500,503,649,500,800,282,800,500,501,282,503,502,503,128,500,502,504,503,504,725,800,649,282,500,504,503,503,500,501,200,800,502,282,649,503,649,16,503,800,282,411,800,800,91,800,501,649,649,649,501,800,313,766,502,502,800,649,800,501,800,800,501,282,800,16,649,503,503,501,503,649,649,430,16,500,501,501,800,503,503,502,783,502,501,282,305,73,503,500,501,16,500,800,800,800,282,502,51,502,501,501,7,627,800,282,16,513,500,503,649,649,16,284,501,282,500,500,816,800,282,989,500,503,502,813,649,282,500,649,194,800,503,800,501,502,800,800,282,501,300,500,500,502,504,502,501,594,503,800,16,649,282,649,149,502,503,649,800,503,295,502,282,501,503,500,800,800,503,502,282,500,649,502,501,502,649,649,800,500,503,100,649,504,16,649,28,500,501,504,369,800,282,649,301,502,500,501,503,500,500,649,968,503,502,649,686,502,503,501,800,800,649,765,800,501,236,282,502,16,500,800,500,501,500,503,282,501,501,503,930,501,502,503,649,501,800,503,16,501,282,649,800,501,500,504,500,502,501,482,649,503,800,649,282,501,649,832,503,502,502,282,649,502,503,800,502,502,500,800,103,504,800,475,649,649,500,649,800,800,13,502,800,500,800,800,502,501,16,282,503,503,504,800,500,649,800,282,501,503,501,503,282,501,500,500,282,502,282,501,800,502,502,502,503,501,501,421,649,502,502,500,502,671,503,501,282,503,500,501,503,500,502,800,501,499,501,107,502,282,649,282,503,502,500,500,503,500,502,503,504,500,502,503,483,463,502,103,503,649,601,500,100,501,502,800,503,503,501,771,500,501,502,800,502,501,501,502,16,501,500,16,502,800,500,502,503,504,282,649,933,16,617,502,800,282,501,502,649,649,501,649,621,501,500,501,800,649,16,282,649,501,800,800,503,500,500,503,16,800,500,48,504,282,800,501,107,500,16,501,800,503,502,501,167,501,501,800,501,282,282,192,107,905,649,501,501,350,500,504,502,420,500,500,502,501,282,502,107,380,500,845,502,502,649,800,657,500,102,282,501,800,500,282,502,800,800,800,501,649,282,502,319,502,500,282,502,501,282,500,502,16,500,500,503,649,502,16,500,501,500,500,649,155,282,566,224,800,503,649,503,423,906,502,389,733,282,282,576,502,500,800,649,502,502,500,649,501,16,503,649,282,649,501,800,501,500,502,834,603,649,503,800,705,100,16,501,282,649,1000,500,501,800,800,502,232,502,502,649,501,800,502,503,800,500,123,503,503,500,500,282,502,500,500,45,500,143,500,501,781,503,502,501,503,503,504,282,800,989,500,649,500,911,282,503,503,503,649,380,16,649,501,649,649,504,500,649,460,282,501,800,800,503,500,649,502,503,502,500,503,800,282,272,500,500,502,385,501,503,502,800,800,500,886,649,649,501,107,800,503,501,503,282,823,502,812,800,76,502,501,807,502,501,282,148,800,500,502,501,649,18,300,375,919,282,649,282,501,396,502,214,500,425,16,503,16,649,503,500,503,503,504,501,502,501,325,744,500,502,500,767,501,649,500,502,282,502,800,659,649,502,500,16,501,16,800,311,649,503,502,649,502,482,649,500,501,501,649,501,500,800,649,501,649,16,282,521,500,800,500,107,282,649,503,502,800,534,501,503,500,800,800,503,489,282,16,500,800,649,552,901,502,500,649,649,552,800,800,911,800,502,500,649,107,501,524,123,16,501,282,502,282,501,649,800,800,649,500,503,16,501,282,502,503,807,500,800,649,800,503,63,518,502,503,648,500,501,500,925,837,501,649,952,800,303,16,360,503,765,501,502,500,16,503,500,554,649,800,447,18,503,16,800,501,661,800,282,504,503,240,504,502,502,800,800,486,280,503,649,500,503,282,800,500,502,503,649,649,500,649,501,649,500,501,649,973,500,501,502,502,428,182,501,502,528,502,16,503,282,500,502,649,501,649,502,649,500,501,988,282,339,800,649,502,649,503,649,649,500,103,502,597,502,800,502,649,800,16,502,107,162,649,800,800,502,282,500,500,503,649,649,501,222,500,800,503,500,503,502,500,800,503,501,500,503,649,502,502,503,372,649,282,501,501,649,500,282,800,502,649,800,502,548,107,16,835,285,503,171,649,501,502,282,16,181,502,16,649,503,502,500,649,800,800,800,800,503,502,500,800,500,500,800,500,649,800,800,649,705,800,215,501,649,500,649,500,501,501,503,649,800,474,501,649,501,502,800,800,649,502,282,501,800,501,503,282,800,800,705,282,501,649,897,500,502,649,649,502,502,282,800,800,649,911,500,457,877,282,504,501,16,282,500,500,502,501,500,649,339,501,573,501,502,649,649,502,826,800,800,705,800,16,649,649,501,504,957,503,649,800,503,282,501,502,500,502,502,502,649,282,800,503,503,500,503,500,649,649,503,502,800,816,282,503,503,800,995,500,502,501,649,502,623,504,725,501,478,500,800,649,500,501,649,800,500,282,282,503,282,504,502,502,501,978,800,503,649,502,282,503,501,649,790,847,649,502,800,282,503,282,649,500,501,503,500,500,282,162,649,504,503,394,504,500,815,800,800,501,503,313,649,800,501,649,501,705,282,100,65,649,489,649,931,619,500,16,100,649,16,800,503,649,500,502,504,500,649,282,16,502,282,396,2,503,503,800,503,502,282,503,16,649,500,503,913,282,880,503,649,500,671,503,800,501,649,503,503,504,502,502,288,501,501,223,282,649,800,503,144,502,800,500,503,649,800,205,500,503,649,316,502,649,502,500,502,500,800,282,504,502,649,501,500,103,649,800,800,503,800,800,213,649,16,649,90,504,503,502,500,800,502,800,800,800,16,282,649,500,640,649,705,502,501,637,500,503,502,503,456,16,502,107,501,503,503,800,502,800,502,743,503,282,501,501,649,502,800,16,501,649,800,501,16,502,500,500,501,649,800,871,760,649,501,282,16,282,45,282,501,503,800,503,226,502,649,649,500,504,504,501,503,504,501,16,800,800,649,649,649,502,501,16,282,500,649,500,503,879,16,800,701,501,800,502,500,500,501,503,503,501,649,500,502,503,16,500,549,500,649,16,500,503,500,503,501,800,500,503,502,800,502,502,649,229,503,800,502,502,649,500,503,774,800,282,282,282,649,502,800,1000,282,800,502,282,503,500,649,502,500,501,500,503,501,800,800,282,16,503,800,501,502,649,649,649,500,501,434,800,502,69,501,168,501,503,800,285,642,503,800,748,282,502,282,503,649,282,500,649,800,649,282,282,800,503,503,800,503,502,502,502,159,800,500,800,500,50,501,800,503,282,807,504,501,503,501,503,800,501,500,776,800,501,502,282,503,649,800,649,502,501,503,800,502,171,649,282,503,501,502,800,501,501,504,503,503,250,638,503,502,503,637,503,503,800,502,500,282,649,649,502,504,649,649,103,503,500,503,500,16,503,919,649,800,800,502,500,282,282,476,500,500,800,504,502,649,649,676,502,501,502,649,335,649,649,282,500,503,800,501,383,282,501,503,736,500,501,126,500,800,649,500,502,500,502,500,502,503,502,502,800,500,215,500,503,105,286,502,800,500,649,649,501,500,501,649,800,800,282,9,500,800,501,282,525,649,504,503,504,649,503,501,424,503,503,853,66,503,501,503,800,800,16,500,649,800,503,500,502,500,270,649,519,501,501,502,501,500,502,503,500,431,502,500,500,501,649,501,270,282,503,800,649,502,502,750,357,254,282,649,649,661,649,800,501,502,502,501,500,501,800,800,504,503,924,502,500,503,555,500,502,800,404,16,500,502,501,19,500,649,500,502,502,503,649,501,500,502,504,378,500,156,503,282,800,800,169,800,500,500,239,500,800,501,649,800,502,800,502,503,502,500,501,501,502,282,501,500,483,800,800,649,766,649,502,800,451,16,649,500,649,800,503,503,649,501,502,501,502,309,282,134,649,649,282,128,16,282,705,460,281,649,500,282,968,649,649,503,502,502,501,959,649,501,503,649,282,503,503,501,380,800,503,501,282,500,800,501,502,501,503,800,501,739,800,673,774,503,500,16,84,500,649,649,500,500,502,800,542,501,740,503,617,961,502,526,722,800,500,289,503,649,608,502,501,501,800,500,772,282,107,503,649,502,282,503,502,501,16,615,800,649,649,800,779,500,277,148,800,503,800,213,800,282,500,503,500,758,503,501,800,501,502,16,501,500,282,800,649,260,502,282,800,502,503,500,502,649,649,374,649,503,800,590,565,800,503,16,282,502,282,800,800,503,501,649,503,502,697,501,649,649,649,353,95,503,282,501,501,501,501,282,705,502,502,560,800,500,503,503,500,807,649,500,500,289,503,500,282,932,500,649,500,502,649,649,500,501,503,503,800,929,500,649,504,502,502,191,502,503,501,501,142,649,502,502,16,649,143,649,500,800,649,500,500,896,500,500,502,800,800,502,560,500,503,193,500,649,501,243,503,503,649,501,502,501,282,800,800,649,502,501,282,800,282,599,995,503,500,103,897,502,501,503,16,503,819,780,649,501,503,16,504,503,800,500,282,502,649,16,503,800,800,503,501,649,501,495,501,500,500,800,500,500,500,503,177,271,282,502,501,503,705,107,649,282,502,184,119,500,504,800,502,502,503,488,503,16,501,500,501,502,800,500,216,501,282,501,503,800,282,502,107,800,502,16,502,800,282,282,501,503,502,503,503,502,501,649,501,649,800,16,54,800,282,502,503,800,503,16,503,800,503,502,649,501,502,800,500,9,502,503,502,500,4,503,16,502,16,16,502,503,16,396,282,269,502,501,127,57,501,800,282,502,502,502,953,649,503,107,501,800,501,501,39,455,800,502,501,500,503,282,501,501,16,800,316,16,502,800,157,503,222,501,500,502,500,630,800,502,503,194,500,16,500,500,282,503,282,527,503,16,262,500,16,800,500,800,501,649,503,800,501,649,107,768,197,43,649,501,874,103,503,536,500,397,494,861,502,500,503,501,500,503,500,649,282,502,500,503,800,500,502,500,502,501,502,16,800,800,500,355,503,649,362,800,502,503,614,503,502,500,800,649,503,914,801,501,800,501,897,691,501,501,500,800,504,501,501,503,16,800,502,639,800,800,773,540,501,503,503,282,734,649,880,503,503,800,502,503,649,188,501,800,500,503,649,649,501,649,500,503,502,685,504,800,282,500,502,800,484,500,500,591,814,649,7,800,500,503,881,650,500,800,503,282,501,800,282,502,800,503,501,502,502,16,503,107,983,502,503,649,503,501,649,501,503,500,800,800,621,800,16,502,649,501,502,503,16,500,502,503,503,500,502,502,800,649,649,504,501,503,800,500,16,800,502,503,501,501,501,377,831,377,800,500,504,501,500,16,500,800,502,282,800,282,16,502,282,649,800,501,500,812,503,503,573,649,282,282,16,501,800,500,914,649,282,501,503,502,501,649,501,501,282,503,649,800,705,605,501,502,502,16,500,503,649,16,501,502,501,282,649,649,502,503,649,501,649,500,500,16,500,502,229,500,500,503,502,502,800,649,502,557,503,282,649,503,501,500,800,501,502,503,12,649,501,501,500,501,404,503,504,502,495,649,503,501,282,500,16,800,282,800,44,800,800,16,500,502,800,649,502,649,832,649,503,501,800,502,649,503,502,800,282,800,500,503,649,800,501,649,503,282,649,649,800,800,800,61,500,501,500,503,502,502,502,800,503,649,502,500,504,501,282,502,500,282,282,500,501,21,282,649,503,502,502,502,282,649,800,16,800,947,501,282,649,501,502,503,501,16,976,502,591,800,649,500,282,16,800,995,649,55,649,501,502,502,800,282,500,502,282,277,501,500,502,649,800,649,294,501,800,500,649,500,502,16,55,502,503,503,502,649,501,800,800,816,800,282,800,649,282,649,503,740,502,503,107,59,500,501,501,503,503,500,139,501,500,501,800,502,503,501,500,502,503,503,502,501,500,16,800,501,800,503,502,649,503,649,282,800,500,502,502,649,649,503,502,282,504,158,649,500,500,649,503,334,500,503,282,501,502,500,161,502,503,800,107,164,502,282,501,501,282,502,500,502,12,800,649,800,848,800,649,500,190,649,504,800,500,500,649,501,501,502,39,501,464,16,503,502,282,500,503,86,477,501,316,107,500,705,800,107,500,209,503,649,501,501,800,503,501,800,501,278,504,503,665,314,500,759,649,800,16,811,205,502,225,800,232,500,282,800,503,501,282,800,502,800,346,800,282,866,800,16,800,501,800,16,500,502,501,501,501,567,503,502,503,503,501,649,501,500,500,504,503,502,800,500,282,503,500,800,501,800,985,800,502,800,503,580,501,503,800,501,501,16,649,649,503,919,501,16,259,800,732,500,681,501,500,504,282,800,649,107,649,503,649,649,800,501,800,649,502,800,501,649,502,649,503,503,337,502,501,282,862,800,16,502,502,500,800,503,500,502,855,502,918,649,649,163,103,103,503,501,800,500,501,800,501,504,42,501,501,502,544,742,503,500,800,316,502,800,503,501,503,501,502,649,500,503,502,649,503,503,649,649,649,649,282,371,800,800,501,502,800,800,500,502,800,800,503,501,502,800,649,282,502,649,502,800,501,503,107,649,503,501,503,503,800,282,79,649,800,501,502,649,649,16,282,500,16,501,800,501,503,500,508,501,800,500,501,800,649,800,500,282,866,500,803,649,800,503,282,503,800,502,800,500,662,500,503,635,800,501,649,282,502,800,503,299,501,502,500,500,501,282,502,500,282,501,487,503,502,500,502,649,503,33,800,502,623,658,502,649,691,501,500,761,649,501,137,701,649,800,503,800,107,502,800,418,503,16,159,649,598,800,107,815,500,16,649,501,501,649,503,502,502,502,502,502,649,107,500,501,800,489,16,282,502,960,282,35,503,649,503,502,501,501,502,503,503,500,940,503,267,800,103,16,502,307,503,502,16,503,649,503,500,503,282,501,503,502,800,501,649,501,501,800,501,502,800,800,500,502,85,800,503,503,502,800,500,800,800,800,503,503,649,500,501,502,649,649,501,395,880,502,970,500,800,649,800,503,502,649,282,800,503,500,800,649,501,16,500,649,16,501,649,282,502,800,649,503,502,649,800,503,282,463,500,503,503,500,676,800,16,501,649,500,500,500,500,502,501,232,500,502,500,649,386,503,716,107,800,107,649,649,800,16,500,821,649,649,16,501,503,800,282,649,500,649,500,500,282,510,502,649,649,500,800,800,649,800,500,366,800,649,501,500,649,648,120,649,860,282,649,501,649,649,800,649,800,502,503,143,436,503,503,538,503,747,502,800,282,16,502,800,502,649,504,800,500,649,500,800,130,282,501,502,500,503,500,649,800,502,503,502,282,500,502,502,282,502,500,800,502,500,649,501,503,500,16,501,80,501,649,503,16,649,800,503,800,649,500,502,800,501,282,502,800,503,649,649,501,282,649,501,800,800,16,501,649,649,766,500,16,501,501,501,800,500,502,791,800,185,649,649,502,282,800,503,502,620,879,649,379,800,684,500,503,800,501,503,282,117,107,501,264,282,800,502,649,596,649,649,282,503,649,347,800,503,527,501,504,649,501,85,500,500,282,649,502,649,501,502,33,502,16,649,800,23,135,503,502,649,649,458,107,690,500,800,649,16,872,649,502,503,800,800,502,990,502,656,966,502,500,16,501,501,502,503,649,503,800,502,282,502,45,500,501,800,282,503,501,286,500,503,649,501,672,503,649,500,649,800,502,503,800,931,502,107,502,500,282,500,857,649,501,282,786,649,282,500,503,282,282,649,262,500,649,422,282,958,800,500,800,501,500,500,800,504,503,501,501,503,282,282,800,800,649,502,503,649,500,501,500,800,800,503,500,282,504,800,502,320,501,503,16,649,503,649,649,282,282,502,502,500,502,500,649,502,501,500,800,761,800,500,282,504,246,502,282,649,502,649,800,500,503,503,501,503,500,16,800,500,649,503,61,501,503,649,234,649,282,502,502,502,800,800,649,649,503,800,504,500,107,649,502,800,501,649,16,800,502,16,500,500,501,649,800,282,103,502,649,649,282,501,500,503,649,649,921,503,958,502,501,502,282,502,800,503,503,800,503,270,800,800,649,502,750,500,649,649,503,503,500,503,503,502,503,502,941,16,502,501,500,501,800,59,196,501,502,282,502,500,800,571,502,504,502,503,502,500,657,502,501,649,501,502,500,503,501,500,966,501,501,504,282,500,501,635,800,503,649,282,501,503,52,501,501,503,800,502,503,800,503,502,800,503,502,649,502,502,502,503,503,503,549,501,800,16,501,500,502,501,503,500,503,800,800,909,16,103,649,500,163,800,282,107,282,500,800,502,502,840,282,282,502,504,800,501,649,500,649,501,504,800,282,649,800,649,800,500,800,502,649,273,502,649,502,800,500,800,501,340,501,705,649,501,800,769,50,614,282,502,800,16,800,503,500,502,502,551,16,93,501,501,500,503,501,649,503,16,800,649,282,800,649,509,107,800,807,800,501,649,649,282,16,800,501,500,800,501,826,502,800,502,800,282,533,800,504,800,282,503,556,500,501,503,500,502,500,876,800,502,503,500,503,282,649,649,502,500,503,649,649,282,248,241,872,800,501,502,503,503,503,103,16,649,503,16,800,504,800,501,500,503,649,500,500,500,284,442,500,800,502,561,649,794,649,510,649,503,800,282,649,501,501,649,16,800,649,503,705,282,624,671,501,501,449,19,649,502,800,844,93,502,800,501,800,800,501,500,501,500,503,501,501,282,16,800,503,333,60,503,503,503,502,649,500,503,649,649,500,500,502,649,502,504,501,459,800,503,501,282,503,503,800,503,649,16,500,800,500,231,502,649,502,800,282,503,649,649,502,501,282,649,384,649,500,800,501,503,649,500,825,500,649,552,502,500,501,282,17,800,376,679,504,197,5,800,502,503,352,501,501,502,649,16,500,16,500,502,501,501,503,282,800,16,649,114,230,649,800,503,503,502,500,500,500,502,375,501,500,500,742,502,500,501,800,501,900,502,503,649,500,269,800,503,649,500,800,503,500,503,500,502,933,502,649,502,501,503,800,16,649,500,503,501,976,503,800,800,722,503,110,649,586,501,341,502,574,502,649,1,503,303,790,849,800,502,502,16,212,503,554,500,501,501,503,16,222,318,16,739,503,503,501,502,500,649,502,502,503,800,501,502,501,800,649,501,501,800,501,649,501,501,998,503,633,800,503,503,500,503,501,500,70,800,503,501,649,843,501,276,500,16,649,503,503,503,503,503,800,503,800,500,103,500,500,189,800,503,502,800,501,501,282,500,800,282,501,800,501,502,498,440,502,503,502,503,502,503,107,503,649,649,502,282,502,502,649,649,503,501,649,501,501,501,502,574,649,800,106,849,502,800,501,800,649,800,500,502,500,800,501,649,430,500,107,500,503,649,282,500,503,501,649,374,503,282,501,213,261,800,649,910,503,575,503,800,501,503,502,502,501,502,649,800,501,800,11,16,282,649,649,37,500,705,946,229,945,500,800,503,800,688,282,502,800,612,500,800,649,502,503,501,502,503,501,857,503,503,503,800,501,800,649,500,504,649,503,502,800,503,800,502,624,800,16,503,800,501,282,502,500,329,800,16,148,649,500,649,501,503,503,500,502,649,800,503,500,501,108,836,649,16,501,501,384,107,800,164,800,800,503,649,502,800,501,649,649,649,62,501,649,503,282,973,649,949,503,649,633,500,502,649,503,649,501,800,501,307,120,502,649,501,620,649,381,649,78,501,699,500,649,649,282,503,107,649,800,282,503,800,503,503,368,800,649,500,491,503,501,800,555,800,500,503,649,800,286,282,800,502,503,504,501,800,649,800,800,501,649,649,502,501,500,541,800,800,282,16,500,423,502,747,500,501,649,502,501,500,282,649,182,800,502,649,503,282,501,500,421,502,800,501,112,500,503,649,107,488,649,502,504,502,649,500,649,501,16,649,503,500,16,520,501,732,800,206,288,800,502,503,501,501,500,769,170,282,103,16,756,500,501,501,649,649,109,800,649,502,503,502,649,503,282,800,500,705,502,500,501,649,649,800,503,503,501,282,502,503,501,500,800,503,411,649,501,282,501,503,649,800,800,502,282,282,385,800,649,500,918,50,794,503,502,649,503,501,501,502,582,928,501,501,500,977,502,502,205,9,649,16,503,501,502,649,503,503,504,137,500,501,501,501,502,16,317,501,500,504,649,500,500,503,523,16,800,649,500,394,800,501,800,67,649,501,800,501,503,502,282,503,510,800,649,501,800,500,649,500,500,316,649,502,502,501,649,64,739,503,48,868,500,800,500,800,592,649,503,783,501,502,503,769,690,503,282,501,649,503,800,649,800,501,503,503,800,503,800,176,800,800,16,502,800,800,705,649,503,282,501,500,282,800,494,502,504,800,504,503,649,800,503,640,971,800,503,649,503,500,503,502,503,501,502,503,800,502,800,501,262,503,500,141,678,800,501,649,501,800,500,501,500,500,282,502,16,471,500,800,16,16,649,649,644,502,476,502,103,500,500,501,800,649,502,265,800,649,503,502,503,448,500,502,501,501,500,282,193,501,649,500,346,501,502,16,503,16,500,778,282,282,503,501,34,500,800,503,502,501,500,649,649,500,501,500,500,649,800,503,800,503,764,503,503,500,649,282,501,504,70,501,705,500,800,649,501,208,503,282,500,649,929,649,451,800,503,649,649,649,282,501,503,282,34,500,776,282,503,800,800,503,282,800,503,619,502,500,502,500,502,500,503,500,500,800,800,16,937,278,66,503,649,503,501,282,282,501,16,500,500,282,16,500,502,800,649,720,503,502,814,501,500,751,800,515,282,800,866,282,107,503,780,16,502,500,502,500,501,503,107,503,649,500,282,16,800,500,502,649,800,502,503,800,500,282,500,502,500,501,649,503,649,800,501,501,734,649,504,500,16,649,500,502,691,800,747,800,502,503,503,501,649,500,800,203,649,800,501,500,705,800,500,502,500,649,504,649,800,500,800,800,500,282,16,500,501,502,800,501,502,503,120,502,500,502,282,107,282,777,282,984,101,502,503,503,800,282,500,16,501,501,502,503,516,502,870,501,16,436,800,503,800,503,738,500,649,500,800,282,502,800,501,503,174,649,800,503,16,649,500,503,649,502,502,502,649,649,503,282,502,16,649,563,601,282,502,504,282,908,500,502,800,282,649,649,282,800,331,649,501,800,501,800,500,649,649,649,800,649,800,800,16,500,502,503,501,502,503,500,649,503,500,502,649,500,547,500,503,282,502,800,502,282,501,500,800,500,800,501,769,500,500,800,649,502,503,649,720,800,649,502,501,649,500,501,503,800,502,503,800,649,955,502,503,502,800,500,16,649,800,805,502,501,649,501,502,649,800,800,649,502,16,800,282,800,753,501,502,503,649,500,502,282,282,16,649,800,501,282,649,649,649,202,502,800,649,482,282,502,333,649,503,502,501,649,501,649,800,649,503,649,503,500,755,500,502,649,502,649,649,267,282,503,2,800,282,282,500,649,806,501,500,649,503,500,500,627,307,500,800,16,649,501,500,649,800,760,501,899,502,503,649,504,501,800,502,421,180,502,503,502,31,649,502,503,649,800,478,649,503,502,800,649,16,504,502,649,16,800,800,105,502,800,502,503,503,503,500,282,491,800,502,961,501,501,16,238,649,843,282,649,502,649,503,502,197,501,503,503,502,800,800,638,282,501,649,503,504,501,503,383,161,433,503,649,501,649,500,502,503,800,649,501,502,968,500,501,502,500,503,800,502,501,16,500,282,500,951,800,500,649,16,502,503,865,660,649,500,500,500,800,502,649,501,502,16,800,514,500,16,800,503,649,504,503,270,500,500,503,502,501,800,552,500,346,282,367,500,282,649,501,502,282,747,800,282,16,800,636,501,16,501,502,500,928,165,502,502,800,503,501,502,502,500,649,282,800,921,649,800,800,649,970,649,649,502,648,909,649,945,833,502,500,282,501,503,502,503,649,282,501,16,501,500,282,282,70,502,500,644,373,502,649,800,500,502,501,307,501,800,501,501,233,502,502,237,502,649,683,501,295,500,649,501,800,185,282,503,282,502,649,501,282,649,800,500,501,563,500,649,501,800,282,282,282,800,502,800,282,649,503,501,500,503,501,800,503,503,502,503,282,800,282,500,53,503,503,500,649,282,282,800,502,649,501,503,282,445,501,649,503,502,500,282,81,503,503,734,139,503,501,800,800,16,282,502,501,500,501,282,501,171,500,575,502,501,500,435,800,649,800,282,502,503,800,219,633,107,800,649,503,502,501,501,502,501,501,649,501,503,502,503,736,501,649,503,649,501,649,282,16,107,502,800,649,500,502,502,800,800,831,501,503,800,500,500,16,800,501,502,503,800,502,500,800,500,16,504,501,502,282,500,800,501,649,5,500,282,282,282,501,917,800,503,800,282,800,503,501,501,649,800,649,502,500,800,649,501,466,500,501,503,500,16,800,502,649,503,307,649,800,502,800,800,800,649,649,501,503,501,503,649,800,500,649,282,501,501,649,502,282,800,538,800,502,950,502,449,501,649,800,504,649,107,501,145,502,501,800,649,800,501,800,502,493,649,503,501,500,500,282,504,282,502,49,16,800,282,502,503,503,16,502,502,282,500,503,649,282,649,649,502,800,502,503,502,649,441,501,16,500,503,502,282,503,500,501,502,503,282,502,500,501,500,501,502,501,649,500,800,502,500,800,500,198,503,649,800,504,500,502,485,501,501,502,282,649,282,800,800,501,925,501,800,649,282,500,503,16,649,800,501,282,800,884,501,282,502,282,504,869,503,639,800,500,503,282,16,502,649,649,649,16,502,500,189,500,504,800,282,502,502,800,4,282,503,971,800,800,502,502,501,649,501,433,501,502,501,503,502,500,800,501,501,282,800,502,500,641,501,800,503,502,502,501,500,501,649,282,313,282,217,503,501,500,502,501,649,282,16,800,107,500,800,503,500,503,501,978,502,500,503,978,501,503,501,16,503,502,16,503,649,500,800,503,502,649,16,649,501,800,502,503,500,500,501,649,501,104,503,282,501,500,501,501,501,503,649,649,649,282,501,649,503,649,800,772,503,503,282,318,502,504,282,501,16,506,503,500,504,800,800,501,500,282,502,502,501,500,502,800,800,800,503,503,649,501,282,503,501,282,774,800,800,500,500,500,501,649,282,16,503,443,502,502,16,500,16,502,500,500,282,800,500,649,502,649,649,502,502,501,649,503,501,501,282,107,649,282,503,501,337,501,952,282,500,282,502,731,172,282,649,800,501,282,649,501,649,500,800,503,649,501,649,719,649,800,502,223,800,500,503,500,503,502,352,800,800,800,503,282,16,282,502,501,503,282,282,885,644,503,500,501,282,502,502,500,500,500,282,503,282,649,800,501,800,501,501,500,500,500,504,451,503,649,502,503,107,500,800,503,501,503,500,649,649,649,282,503,503,649,986,501,670,282,502,503,16,503,825,503,282,500,500,800,500,503,800,800,502,755,502,503,107,503,103,649,282,33,500,502,501,502,800,649,705,649,16,649,282,500,503,16,500,282,800,503,501,649,501,500,500,649,800,502,282,502,500,649,500,502,649,502,282,107,503,500,703,282,408,585,282,16,502,501,807,501,502,282,503,800,961,649,500,503,503,502,501,800,503,107,504,502,944,501,503,800,800,800,800,503,800,503,467,265,282,743,503,649,500,501,800,502,503,928,800,649,282,500,16,503,501,500,800,649,500,513,500,502,800,649,503,705,503,501,500,282,503,501,503,503,649,502,282,501,317,502,16,501,501,500,502,504,649,356,500,16,503,502,501,502,500,501,649,13,502,649,501,503,503,800,502,800,500,502,282,107,503,357,503,502,503,649,503,649,649,295,500,810,500,503,500,649,503,282,502,800,55,503,282,649,500,500,501,502,501,649,649,500,502,800,103,500,504,282,502,500,500,800,502,502,16,796,502,800,649,800,174,282,649,502,282,103,649,463,649,808,502,501,503,800,503,502,502,649,800,649,683,500,282,502,282,649,503,503,16,500,502,16,282,501,800,282,500,502,500,502,282,502,800,800,800,501,16,503,500,500,500,464,800,500,502,282,500,500,23,500,502,502,800,503,504,501,503,500,503,649,649,503,500,649,800,502,502,500,503,501,800,800,282,800,649,649,503,231,502,500,502,649,282,500,504,503,500,501,500,639,501,163,649,501,649,502,500,800,502,503,502,377,504,502,500,503,502,294,501,551,667,501,826,649,107,16,502,503,800,503,321,282,378,649,500,282,268,277,502,500,800,500,635,693,543,282,500,768,501,596,800,282,500,813,476,800,800,502,502,503,500,503,649,649,501,191,407,649,800,503,500,503,500,502,16,649,503,800,501,500,504,503,649,390,649,501,503,908,226,68,649,649,282,500,16,502,501,501,501,16,503,800,219,800,500,502,504,504,501,874,501,649,282,502,501,649,500,503,223,800,800,800,800,747,77,649,649,503,503,503,500,504,649,501,502,502,800,503,807,282,16,649,282,501,502,500,649,502,790,800,502,501,848,501,800,501,649,282,501,800,500,500,649,282,282,512,503,502,413,800,502,501,502,16,502,240,282,503,800,800,504,334,800,503,282,282,437,501,282,108,16,503,501,501,500,502,649,705,504,500,800,501,501,243,501,500,649,503,503,503,649,649,16,502,800,649,503,503,800,800,926,502,503,503,501,800,282,500,501,320,501,344,502,503,501,502,800,502,500,800,503,649,502,649,704,503,649,501,800,800,800,306,500,282,800,800,906,649,500,502,727,501,649,501,47,800,649,942,502,502,502,501,502,503,502,502,705,502,503,649,501,649,843,500,501,503,500,501,85,649,800,502,800,800,282,580,502,502,649,502,502,109,502,728,500,649,504,502,927,501,503,800,502,500,503,500,503,503,501,501,649,649,282,935,502,500,500,502,649,649,471,500,626,500,503,502,649,501,649,705,649,502,503,503,503,502,501,680,503,502,800,502,800,800,99,649,800,500,501,649,502,503,503,871,500,649,500,501,282,501,800,501,500,502,681,500,139,16,800,800,501,500,502,800,500,800,282,503,500,282,503,649,500,500,501,282,503,502,167,501,649,800,500,649,501,501,16,503,500,649,503,800,503,502,282,502,12,503,501,800,800,501,502,502,501,500,649,503,649,282,500,501,502,504,282,501,282,501,504,938,649,500,500,282,502,500,800,503,502,649,500,501,649,500,800,501,649,501,649,589,16,502,16,500,500,501,649,500,282,16,800,501,502,649,502,800,501,501,501,649,501,503,260,503,649,340,649,503,775,500,649,649,501,501,800,501,500,500,500,31,500,503,503,503,503,501,500,16,649,502,282,500,282,282,503,500,404,503,649,501,104,649,800,368,16,500,501,282,107,502,503,649,503,800,503,800,501,509,503,500,503,504,282,800,225,501,500,649,500,649,800,282,649,501,503,501,502,500,500,500,503,503,502,800,107,501,502,502,649,503,502,501,500,16,501,800,649,282,501,649,800,500,503,268,501,503,532,800,649,282,320,502,282,800,800,500,282,500,501,961,501,500,503,502,800,501,503,16,282,500,800,501,501,500,502,372,501,930,519,502,500,500,649,501,501,502,16,705,501,800,500,503,502,500,503,500,649,503,800,800,500,684,501,503,800,502,649,500,500,501,501,336,502,502,500,800,282,97,502,503,503,800,649,649,800,500,800,501,502,501,800,438,500,649,503,501,503,500,502,502,500,503,649,649,501,282,649,503,649,16,502,502,501,800,503,503,649,501,649,800,465,800,705,501,500,107,502,501,503,501,601,501,501,178,501,800,800,500,500,503,500,649,649,503,502,500,646,500,800,649,500,267,502,800,503,502,501,649,800,501,649,500,503,501,649,800,800,503,800,501,649,500,502,500,503,503,502,649,500,787,501,800,265,502,503,800,250,502,503,649,649,502,282,765,282,66,501,800,501,800,501,829,500,502,783,467,415,503,500,503,502,865,501,501,500,109,501,800,23,394,502,500,502,504,649,800,501,502,503,16,501,503,504,501,800,502,502,649,282,649,500,282,649,852,282,298,800,963,649,502,282,500,282,502,502,649,502,500,296,502,788,649,503,800,500,800,649,649,501,649,503,15,649,800,501,501,800,282,649,502,649,16,800,500,800,503,502,503,282,810,502,501,501,282,800,625,800,503,501,503,501,503,649,800,800,107,649,503,500,501,502,502,501,282,16,649,503,649,500,503,502,502,676,448,800,503,666,502,649,800,503,103,503,649,649,500,503,502,501,252,800,282,502,503,500,649,800,500,502,503,800,502,500,800,282,503,438,503,500,502,501,501,350,649,649,501,501,501,503,649,16,674,501,282,503,502,282,16,649,503,447,503,500,649,503,502,503,945,502,649,500,503,649,500,800,502,500,82,501,503,504,502,500,282,501,503,501,503,649,502,502,500,503,16,501,502,503,502,397,84,800,504,503,500,649,282,503,500,800,502,502,767,503,501,800,790,501,502,133,800,501,500,501,800,649,502,312,500,503,503,649,16,500,649,503,282,503,668,502,501,800,503,501,649,184,503,282,161,501,501,649,282,501,388,649,503,649,501,107,649,501,649,282,503,800,649,501,502,503,500,282,469,503,500,503,282,800,649,501,649,500,973,502,16,800,501,503,500,504,649,504,800,501,74,800,878,698,16,501,649,800,705,800,504,282,503,502,800,502,502,501,503,833,501,500,649,501,800,502,502,502,501,501,501,503,502,503,800,502,649,800,503,503,502,501,649,503,502,282,649,501,800,500,391,800,603,800,503,502,502,800,504,500,649,500,502,330,502,500,800,800,500,649,501,503,503,800,503,500,502,503,500,503,649,503,501,500,649,503,476,311,503,649,305,500,282,501,500,503,282,502,649,126,502,501,800,107,501,502,649,500,282,500,103,107,503,649,502,649,131,649,649,502,500,649,503,649,501,649,501,282,649,500,107,649,503,800,503,503,800,528,500,503,282,282,649,500,783,503,649,501,501,502,503,92,16,649,501,500,649,800,359,649,649,800,649,503,502,649,502,502,282,500,800,502,800,502,501,282,501,16,490,504,500,649,502,500,500,800,502,282,503,282,502,102,501,34,503,503,500,504,649,649,649,501,800,732,800,800,197,501,502,800,282,800,501,394,502,740,800,265,799,282,501,649,503,504,800,502,500,649,500,503,649,800,500,502,502,503,502,503,503,501,501,649,500,800,800,504,503,107,635,500,502,501,282,800,501,503,649,500,500,501,519,800,503,564,502,502,502,500,503,107,502,800,181,16,705,500,649,282,504,800,800,649,503,503,502,649,649,503,649,500,705,760,800,807,503,503,502,503,502,504,504,282,800,502,282,919,649,649,800,282,800,503,649,282,1000,500,501,503,501,282,504,649,282,497,800,500,649,503,649,500,800,800,649,502,800,500,502,503,501,282,503,500,725,649,502,800,649,925,16,615,738,503,501,649,502,282,282,800,501,488,500,501,501,800,800,394,649,500,889,282,503,649,649,236,431,503,433,503,503,725,500,501,500,800,800,500,500,501,503,649,16,282,282,503,800,502,502,500,504,800,649,800,503,501,502,730,282,800,502,649,331,503,800,501,502,800,500,500,500,503,503,502,800,502,502,500,16,503,501,501,500,503,503,503,500,501,800,107,503,500,501,503,500,572,313,502,500,502,502,501,502,649,800,502,503,800,503,800,649,502,502,800,649,649,501,500,16,649,503,906,97,800,649,503,500,282,649,800,503,649,502,503,282,282,310,500,525,503,503,503,500,500,359,800,800,503,500,454,16,502,800,503,800,282,282,503,158,649,189,500,356,800,500,502,500,120,500,107,502,798,502,103,501,501,502,500,500,500,502,800,502,649,503,282,503,230,649,976,501,501,500,503,502,649,282,649,16,500,800,503,500,500,800,503,800,500,649,781,282,502,649,807,501,502,502,503,500,649,649,500,503,800,800,885,16,501,800,501,800,852,504,500,502,501,649,500,503,500,501,282,500,282,6,649,503,649,800,501,500,800,366,500,500,649,830,313,800,649,800,503,649,502,800,800,501,416,100,503,501,800,500,800,502,649,500,500,800,649,282,502,16,503,282,500,503,501,503,503,649,255,501,501,649,800,282,501,800,502,500,804,107,503,649,503,649,649,503,502,500,501,16,501,282,27,500,649,117,649,694,502,649,800,503,503,503,934,503,500,504,502,500,221,501,800,500,503,609,16,282,937,501,800,282,649,500,630,800,110,800,649,502,503,502,503,46,503,800,800,734,501,800,502,601,82,800,823,500,500,502,503,95,503,282,800,16,282,502,800,503,500,800,500,649,800,500,800,800,800,800,500,649,649,282,800,503,16,500,649,504,436,16,649,501,503,502,800,866,282,649,163,649,503,282,800,500,282,800,16,649,502,501,649,282,404,502,500,649,500,503,500,501,503,899,502,503,97,504,500,502,631,282,503,16,392,501,500,800,800,503,282,800,500,502,16,503,141,503,502,502,800,502,800,800,282,501,501,500,501,502,501,649,649,501,502,800,800,649,649,800,103,502,503,502,800,31,70,502,800,503,800,800,501,500,501,502,503,501,504,501,504,800,500,649,800,500,501,649,503,502,503,210,500,501,649,872,502,89,820,502,501,501,501,232,649,504,500,502,503,140,800,649,503,800,196,649,502,501,649,501,800,501,500,649,649,649,502,503,282,800,501,502,800,800,503,501,573,501,167,504,503,504,503,503,282,504,500,459,282,800,503,503,16,800,500,560,800,649,501,623,800,165,501,501,500,800,800,649,502,800,460,800,308,501,502,649,502,800,800,500,800,242,282,501,282,503,649,502,800,500,800,649,649,16,282,502,282,800,800,503,649,501,501,502,649,282,800,649,649,500,675,500,500,502,800,107,68,501,282,504,503,649,282,501,501,501,501,502,501,502,705,501,501,500,503,649,503,502,800,503,503,502,800,502,282,502,649,712,889,502,501,502,502,502,501,501,649,800,800,800,503,282,503,503,503,502,503,501,503,800,800,800,535,649,500,503,503,282,500,503,502,501,16,649,503,500,649,503,649,503,956,800,501,800,391,293,503,800,503,501,649,502,503,908,800,649,201,502,16,504,649,500,16,649,649,800,649,620,503,107,649,500,800,502,16,649,161,503,503,503,16,503,282,500,500,800,500,649,502,500,501,800,800,502,503,501,800,501,649,541,649,649,16,501,504,502,502,800,501,107,649,501,649,305,503,649,501,462,503,500,502,503,800,800,282,500,800,500,500,800,645,503,500,501,500,800,500,800,649,500,800,501,649,103,282,282,800,800,500,649,649,503,800,500,622,502,502,501,649,16,501,502,649,527,282,500,500,800,800,502,800,282,660,800,664,56,502,107,800,503,502,282,928,16,501,27,821,500,389,10,800,503,800,649,503,502,800,503,503,40,800,503,501,501,502,501,504,501,502,800,501,501,800,500,500,282,282,800,502,16,800,501,503,503,800,504,899,501,503,502,631,502,848,800,649,16,165,500,501,956,502,500,502,800,649,800,282,800,501,800,649,502,503,282,502,501,502,807,503,767,501,282,800,649,522,16,649,649,800,171,500,649,649,503,503,502,16,16,500,649,501,800,501,501,518,502,649,503,503,282,501,800,649,800,501,800,371,503,500,649,282,474,282,800,501,500,500,287,649,502,589,502,649,502,500,282,501,282,323,97,282,800,503,800,500,101,513,501,501,502,800,500,502,649,503,501,503,800,955,501,500,502,500,16,257,920,500,649,481,500,500,967,502,649,273,800,800,991,503,489,502,503,502,502,800,503,501,649,800,649,500,502,649,282,707,502,154,152,503,501,501,500,16,501,979,286,649,107,501,500,503,503,501,800,500,282,421,500,800,649,103,282,500,710,789,500,282,501,800,501,800,287,501,503,502,502,501,500,800,502,800,502,503,16,800,503,282,459,501,500,649,501,649,649,649,502,503,500,16,500,501,282,503,649,503,16,500,500,503,503,500,503,503,800,502,204,649,637,282,649,800,649,16,503,503,501,500,503,503,502,800,282,502,500,502,834,503,502,649,500,695,259,500,542,800,503,800,501,56,500,282,503,500,501,503,404,501,501,503,500,800,502,502,503,503,501,649,502,800,501,501,649,282,649,649,282,848,254,649,16,800,62,649,500,502,800,107,800,503,502,501,500,501,503,790,502,501,502,500,502,501,649,800,502,346,334,500,649,282,282,79,649,502,501,900,500,503,282,501,101,649,873,502,649,282,502,911,501,282,649,503,649,282,502,500,500,501,503,649,800,503,500,282,282,649,800,649,649,702,649,282,501,649,501,501,800,800,800,500,503,16,502,503,503,800,500,705,282,800,503,230,503,493,501,377,282,501,500,502,502,282,326,502,503,935,482,649,800,282,649,282,318,502,710,800,246,800,502,502,501,501,800,590,649,500,500,800,800,282,501,500,504,503,649,502,800,800,501,321,501,800,649,500,501,771,500,649,501,501,282,649,502,800,251,502,500,500,503,664,502,16,649,16,867,500,800,649,649,649,503,500,504,649,282,502,52,502,500,649,503,500,282,73,502,500,299,100,500,649,649,800,502,16,502,489,16,500,503,501,282,503,500,500,500,282,501,500,500,503,502,503,288,501,502,501,252,500,649,649,705,501,499,502,504,502,800,500,503,800,800,501,503,800,649,800,503,502,501,800,282,16,500,500,817,649,800,503,501,282,16,628,503,500,800,282,800,503,501,16,500,500,501,502,609,500,786,649,103,126,503,800,500,800,500,306,502,502,282,282,503,649,282,649,503,649,649,501,640,201,503,501,501,501,800,649,500,282,282,501,502,282,502,503,500,626,927,875,649,500,503,502,792,502,502,800,649,649,502,502,501,504,800,649,500,649,501,282,501,192,649,504,649,800,265,502,282,503,501,389,16,502,503,77,800,503,121,59,503,501,480,503,282,852,800,342,503,107,810,502,282,649,649,500,800,503,504,500,500,503,649,502,282,503,649,800,800,503,800,112,282,282,282,503,500,500,501,502,282,500,649,800,500,649,800,216,500,649,282,501,502,800,502,649,500,649,212,282,503,502,502,649,369,705,500,800,103,6,500,282,503,502,501,282,503,103,16,800,502,16,502,500,501,500,502,500,500,322,800,103,502,908,503,92,504,502,800,503,649,502,95,282,282,800,502,649,282,341,500,107,649,649,800,135,501,696,297,502,501,282,800,535,451,800,282,503,502,282,501,503,501,649,500,282,500,502,208,800,502,502,501,649,501,503,282,16,830,16,502,107,502,500,501,192,503,501,500,800,727,16,800,504,800,807,503,501,500,503,502,500,503,282,503,503,238,692,500,502,502,501,91,503,800,503,200,502,800,502,649,503,800,504,800,649,282,404,649,114,649,800,500,502,649,501,502,800,203,501,501,168,500,16,500,800,961,649,649,16,502,51,501,500,800,500,503,282,500,500,502,500,649,503,501,503,501,500,500,500,502,501,503,925,501,800,800,500,500,503,16,679,500,503,501,800,282,504,800,649,500,501,503,649,649,800,282,649,16,649,800,800,744,649,526,248,649,504,649,501,649,16,553,502,503,501,16,799,800,502,800,501,800,501,501,502,503,208,501,282,800,282,800,800,501,503,503,502,227,501,502,503,502,503,282,800,503,500,795,501,619,800,503,649,500,501,502,593,649,272,502,502,503,800,501,503,282,359,16,649,500,501,502,649,800,649,501,649,501,502,800,293,800,649,649,500,344,90,649,282,502,500,649,503,501,649,649,800,502,503,340,503,705,282,282,800,800,502,500,500,500,649,225,501,16,483,502,500,501,800,500,502,800,501,501,501,371,16,282,649,501,649,282,282,649,426,282,132,500,501,282,503,800,500,503,502,193,500,500,649,270,282,504,282,655,503,503,487,476,16,503,649,800,282,450,503,311,800,103,649,503,16,501,500,500,649,501,107,800,214,649,501,501,800,503,16,503,500,502,501,501,800,502,501,503,503,503,502,16,649,528,649,503,282,282,502,503,800,503,962,649,282,502,16,649,282,16,800,503,671,282,500,282,282,447,501,500,282,413,501,16,241,501,282,501,502,102,501,502,503,800,649,503,16,800,800,500,800,503,16,649,649,502,649,502,906,555,772,149,503,282,649,221,16,501,501,705,282,282,504,800,649,502,501,503,503,500,30,707,649,503,724,800,800,500,500,107,800,406,107,649,502,15,649,649,282,368,501,503,500,500,500,502,500,800,649,502,800,503,25,86,503,507,500,243,800,649,800,503,449,800,502,282,500,579,823,502,501,800,282,501,649,503,501,502,503,649,501,649,502,503,282,500,502,504,107,800,503,500,800,503,500,500,500,282,800,502,282,501,903,502,502,835,503,709,503,649,502,649,500,649,800,800,500,638,800,649,800,502,500,282,991,501,649,502,800,500,503,282,501,103,500,503,800,502,500,649,501,282,501,503,500,800,800,16,805,800,504,800,282,649,800,649,16,501,501,649,649,500,963,503,501,503,503,800,60,16,649,503,800,800,994,649,502,282,575,501,282,649,503,503,500,502,282,504,503,800,649,503,800,649,16,800,991,649,502,16,800,501,800,649,649,649,649,725,649,15,501,800,282,501,503,500,421,503,811,502,649,503,503,502,649,649,501,503,501,282,649,282,649,325,220,649,282,649,800,649,800,503,194,503,504,649,500,501,500,502,123,649,649,649,502,500,502,501,649,800,980,502,503,487,502,502,500,502,500,500,501,500,503,282,800,502,501,639,502,649,502,993,491,503,800,501,649,500,649,800,503,501,502,710,282,649,800,502,649,649,16,329,800,649,500,282,504,502,502,504,649,503,500,503,501,16,282,800,649,559,501,500,800,502,502,800,501,502,16,649,503,990,800,800,500,500,800,501,649,503,282,649,649,649,501,800,861,501,800,649,500,500,500,500,503,502,282,501,502,502,501,500,282,502,503,800,800,502,649,282,500,906,501,501,501,800,501,501,800,800,500,603,547,100,503,502,502,532,800,800,649,800,502,336,502,503,501,500,500,500,504,484,800,500,649,500,282,502,500,501,282,502,649,734,502,500,501,282,500,649,502,500,426,503,500,290,500,502,502,500,503,649,679,667,649,862,502,502,112,16,503,699,800,503,500,503,501,501,282,501,499,306,501,649,800,800,649,800,649,501,800,504,282,649,729,705,502,503,503,504,649,800,501,335,502,502,282,503,649,502,503,501,501,649,711,501,744,800,501,503,800,496,504,502,490,649,500,502,501,800,147,500,501,501,501,503,501,502,501,800,800,503,500,308,727,800,550,503,500,130,174,649,752,282,500,800,238,649,503,282,649,502,503,502,502,501,800,282,800,16,545,504,503,800,502,501,503,649,502,500,500,500,16,937,800,503,500,503,282,502,503,800,504,503,420,382,502,649,282,16,500,500,16,800,502,501,502,800,501,383,500,503,649,649,502,107,776,503,800,282,500,500,657,500,546,16,500,107,502,501,501,503,501,500,500,266,282,951,800,800,502,500,915,16,262,16,500,503,649,501,503,758,501,502,997,500,649,503,503,502,500,649,500,503,800,761,204,107,503,800,303,16,866,800,500,506,503,649,504,503,501,501,800,800,800,503,503,501,649,649,282,503,501,944,501,502,503,502,800,800,800,501,945,739,16,500,16,649,502,649,503,800,501,501,501,6,382,503,501,502,649,503,500,503,649,502,282,800,649,500,282,800,502,282,504,800,500,502,951,800,800,800,16,800,282,503,503,502,997,501,649,501,503,801,649,500,800,800,800,500,502,503,212,500,501,380,917,502,501,649,649,503,501,800,687,502,503,649,649,948,103,996,282,503,800,504,649,800,282,800,649,282,800,503,501,103,503,649,649,502,500,282,585,501,502,364,503,503,503,282,501,800,16,503,503,500,502,649,502,500,502,800,649,583,800,500,84,282,800,500,501,502,503,502,500,502,800,649,502,282,503,800,501,500,649,503,649,800,502,502,282,503,861,649,800,502,689,107,649,16,503,432,500,501,959,16,282,503,16,800,504,501,500,282,503,502,500,501,502,800,649,800,384,503,501,502,800,503,502,800,501,502,500,649,800,95,500,503,800,649,500,502,500,500,500,282,649,502,503,503,800,502,500,502,649,500,500,16,503,800,282,500,501,800,500,800,731,500,501,282,800,501,386,500,16,220,502,649,282,800,800,282,501,500,649,503,800,503,197,800,503,800,500,503,503,689,503,649,501,800,503,800,500,502,686,501,500,800,501,649,503,501,800,434,329,16,500,500,501,500,501,503,501,800,649,503,265,503,897,290,504,500,503,502,502,501,502,500,502,503,813,500,501,500,501,500,649,302,800,649,649,282,282,502,501,500,503,649,500,500,800,503,501,920,502,502,502,800,25,501,200,501,282,800,500,16,800,501,503,503,500,503,282,503,503,500,503,501,282,501,922,503,282,502,501,800,282,501,503,503,504,800,501,500,800,503,502,101,282,501,643,502,503,500,501,16,503,501,451,800,100,400,502,107,218,649,649,649,688,500,502,282,503,800,154,691,501,501,800,502,503,502,282,649,502,649,500,649,503,500,800,503,503,934,649,71,282,502,501,649,501,282,35,282,107,500,502,800,282,500,800,233,502,282,502,500,800,501,500,500,800,649,649,500,501,282,502,502,502,16,503,500,459,503,800,503,503,800,502,501,501,500,649,500,649,832,649,502,500,500,500,282,65,502,503,649,501,649,501,503,501,988,800,501,67,800,503,282,282,16,502,649,502,705,503,503,555,502,503,649,502,501,502,503,500,502,649,501,800,504,502,501,501,282,800,500,59,501,800,503,501,502,649,502,503,649,500,348,503,503,800,16,103,649,502,282,282,649,800,502,501,502,502,500,187,649,501,501,503,800,500,503,246,800,649,500,500,502,502,501,800,503,119,246,649,649,282,649,800,800,502,503,502,503,800,800,649,503,328,800,503,501,649,800,282,502,500,503,501,649,282,16,800,501,502,200,501,649,44,501,282,201,649,649,501,500,501,972,557,800,282,501,649,649,502,502,225,282,72,503,722,503,503,501,282,649,103,501,800,800,649,649,504,800,649,922,503,500,649,282,501,649,16,778,800,282,802,170,503,16,503,800,501,800,16,502,800,800,502,500,282,502,683,503,503,649,503,16,500,502,649,502,502,800,649,500,649,504,649,502,572,501,501,800,282,502,800,501,295,501,503,298,800,500,800,503,500,315,831,800,502,879,502,282,500,282,759,500,800,649,503,800,800,500,502,500,503,800,503,800,500,501,500,800,500,649,500,800,502,503,800,501,503,500,501,503,502,503,500,501,303,649,503,282,649,107,501,501,798,500,649,800,16,502,500,282,800,649,501,800,502,649,500,503,501,649,282,503,502,800,649,500,800,501,502,649,504,500,800,649,282,800,501,383,502,503,500,501,504,649,500,800,500,16,500,502,502,16,500,800,800,503,502,16,649,800,502,360,649,503,800,800,502,502,501,649,504,16,282,246,800,509,503,501,649,502,502,800,503,500,282,503,502,937,502,501,503,500,502,502,53,502,800,500,502,501,649,16,800,965,501,503,501,566,649,800,43,800,652,501,501,500,503,502,502,500,800,800,501,500,503,502,500,501,501,502,500,500,500,500,501,800,649,403,501,891,16,800,282,501,501,649,282,942,503,501,649,500,503,502,502,501,649,800,649,502,503,502,503,16,503,307,501,649,503,500,501,534,800,107,503,800,875,500,504,78,500,501,502,502,503,502,502,807,502,502,502,501,503,501,649,501,16,500,503,503,800,502,503,502,501,649,502,282,502,503,503,649,800,500,470,107,501,502,800,16,800,503,503,282,282,289,500,649,800,282,503,649,500,214,649,500,874,649,501,501,800,800,649,502,501,501,282,649,649,658,500,502,800,282,504,502,800,16,500,502,694,503,25,504,500,649,502,503,800,501,504,583,501,649,500,649,500,800,501,500,500,649,800,502,503,800,504,504,282,800,502,447,112,503,500,282,501,649,800,649,649,800,500,282,800,500,501,397,502,501,979,16,282,501,282,800,503,502,500,542,501,504,500,800,500,501,649,500,502,649,800,839,502,502,503,502,503,502,502,500,502,649,800,503,800,502,649,827,502,500,501,282,909,282,333,488,649,649,501,503,462,649,314,662,503,649,282,504,502,874,649,500,649,16,169,649,501,800,282,502,46,503,500,649,800,502,16,502,282,800,735,800,649,503,502,649,502,500,501,502,501,500,501,500,800,492,800,503,502,800,649,49,282,800,798,649,800,502,282,649,649,800,800,500,500,503,649,282,501,501,502,500,501,502,501,500,501,276,501,501,800,503,800,501,500,503,504,503,503,500,500,900,944,500,500,500,800,649,502,501,16,800,500,282,502,503,502,503,459,500,107,503,503,800,501,800,504,500,649,981,800,921,738,501,649,501,649,800,500,502,501,503,282,501,502,800,501,500,475,500,824,501,500,501,503,649,504,649,800,708,500,503,502,282,501,810,800,649,502,979,649,282,501,649,222,147,500,503,800,504,503,502,282,502,107,504,353,504,500,503,500,502,649,16,502,345,409,522,501,649,501,800,500,501,800,649,649,502,503,800,502,502,16,282,649,502,501,502,502,502,502,502,767,503,282,649,649,500,500,500,214,649,500,275,748,16,502,500,800,810,502,695,860,800,500,16,985,16,502,500,503,500,503,649,800,501,649,503,503,501,649,503,649,649,502,502,649,800,500,800,501,649,649,502,160,500,500,502,503,503,350,502,649,502,501,503,425,501,800,433,240,438,282,800,500,282,501,800,501,800,504,282,457,500,500,502,500,649,502,500,282,282,895,800,16,649,649,282,847,502,800,503,502,502,649,282,501,500,800,16,282,649,503,282,649,500,503,282,649,501,503,800,503,502,800,500,501,501,800,502,500,282,503,69,282,282,899,502,501,800,526,800,800,16,649,500,501,500,800,500,503,282,136,649,107,649,501,649,500,649,504,800,282,501,72,827,501,502,446,636,800,108,16,504,502,800,503,502,503,503,282,282,503,16,503,649,501,649,503,800,500,335,800,800,800,501,649,16,502,282,500,649,800,502,147,800,502,16,500,800,501,502,800,649,501,502,282,800,800,500,500,649,282,501,581,800,800,502,503,503,501,95,16,503,377,501,500,800,800,502,649,500,503,500,282,500,500,503,504,502,384,502,501,649,800,503,501,500,502,504,502,800,502,649,649,504,649,503,649,16,502,16,500,501,503,500,500,282,501,503,649,502,800,502,800,800,504,282,504,133,800,755,501,800,500,500,282,751,16,282,501,501,16,103,503,649,502,282,503,503,800,500,800,649,649,500,649,333,387,649,503,282,542,282,500,500,649,800,503,107,503,649,282,649,649,649,42,500,502,305,44,800,501,503,502,501,200,800,500,502,503,800,800,649,16,500,503,649,649,503,501,500,649,800,502,501,500,649,16,800,502,500,996,649,800,16,649,649,503,800,500,501,501,500,501,649,649,649,501,503,503,500,282,501,500,16,16,282,665,282,118,502,800,502,501,649,800,502,501,503,800,800,503,827,16,502,503,408,800,282,800,800,504,503,649,504,500,501,16,500,502,500,368,502,649,503,502,320,103,367,500,282,500,649,649,502,502,503,503,500,503,282,649,800,500,500,503,216,503,500,501,103,800,502,657,502,282,800,500,800,500,649,282,501,649,649,501,504,502,800,649,800,282,501,676,649,649,501,212,501,501,800,501,649,502,502,501,502,649,500,502,800,503,503,649,949,37,501,500,649,649,694,800,470,183,501,501,502,360,503,282,649,800,500,503,502,16,800,282,282,306,501,501,501,800,501,729,502,501,502,800,503,980,500,503,501,503,649,502,502,649,800,501,502,502,236,649,649,503,504,649,16,501,502,503,502,501,503,282,649,282,501,800,800,501,705,282,800,800,800,16,800,503,501,501,103,504,705,500,800,501,78,501,503,501,107,429,502,638,501,16,251,500,800,628,800,822,259,649,501,282,649,500,502,502,573,800,613,239,800,504,406,501,500,649,649,884,500,800,503,649,500,829,282,800,649,649,503,501,80,282,800,282,502,649,503,503,503,502,800,800,107,501,502,503,649,504,500,484,649,217,501,502,502,649,800,16,800,800,502,501,282,92,107,501,503,79,502,502,800,800,503,501,502,500,800,282,501,502,649,502,502,503,782,800,501,500,501,649,414,282,649,502,361,649,16,500,800,503,503,500,500,503,502,800,649,800,503,501,503,503,553,500,502,571,502,502,501,398,16,500,501,800,503,503,501,500,503,928,649,502,649,504,500,649,649,107,503,500,502,458,501,107,501,501,503,103,705,800,502,800,503,282,501,800,795,501,150,501,503,649,501,282,800,16,503,800,502,16,282,16,649,649,501,502,503,649,503,302,503,800,503,282,501,800,503,32,500,501,282,500,504,503,503,503,800,649,501,500,502,500,503,800,800,503,282,16,800,282,800,649,107,502,813,500,500,500,800,502,503,800,127,649,649,500,501,24,503,500,500,649,16,853,355,649,368,503,800,800,501,800,800,800,500,500,800,501,334,498,649,502,800,800,282,503,282,503,800,419,503,502,503,800,649,854,649,16,800,649,501,800,16,649,500,502,536,282,501,116,493,800,503,503,282,503,800,649,975,502,800,502,282,503,284,504,28,503,649,500,800,467,649,500,503,504,186,503,501,800,16,502,501,800,502,500,500,695,299,502,500,503,502,500,502,501,502,500,297,649,649,501,503,282,502,500,649,649,500,503,800,649,502,502,723,501,500,502,800,502,16,502,800,16,236,501,800,503,501,500,800,800,649,649,502,282,649,501,282,282,800,502,16,500,502,986,502,503,649,649,502,500,503,800,502,800,800,501,502,502,500,500,516,881,500,500,501,502,665,501,501,500,503,282,282,501,502,800,282,800,715,800,282,503,16,16,649,503,282,503,282,800,282,4,500,503,500,502,501,282,502,502,16,503,502,800,501,282,662,503,282,515,501,649,282,282,649,800,500,967,282,16,501,214,800,800,503,501,649,500,37,500,800,36,502,501,501,107,500,502,282,649,649,500,500,103,16,500,982,800,800,649,502,502,800,999,16,501,500,800,282,502,501,282,800,649,649,608,800,856,501,649,502,501,502,503,649,812,297,501,502,500,800,649,649,503,800,500,503,501,800,500,494,500,800,502,500,500,501,54,800,502,500,282,485,500,502,502,330,503,800,502,502,502,500,800,16,501,649,501,16,649,503,929,501,501,502,503,503,649,502,649,800,16,503,502,501,897,484,500,501,649,800,502,282,500,501,502,502,500,649,501,502,503,502,500,500,502,705,503,501,502,503,502,649,501,502,501,500,501,649,649,16,800,503,502,502,503,282,800,503,501,649,782,10,943,282,500,800,501,502,282,72,502,16,502,282,503,500,649,282,977,800,649,649,649,282,500,502,502,500,350,800,501,502,800,778,185,800,649,503,649,649,500,649,503,500,800,503,501,501,800,282,501,782,677,800,503,800,500,16,502,16,282,494,500,500,501,502,502,502,501,502,501,800,501,503,502,94,500,502,501,649,500,282,500,649,800,502,502,800,502,16,500,502,582,649,649,800,501,503,800,500,800,502,326,502,500,501,503,649,501,500,800,500,502,500,503,501,649,503,18,503,502,501,800,501,502,282,501,649,906,800,503,649,282,501,503,800,107,282,503,649,489,282,504,502,282,282,800,649,800,500,502,240,765,502,609,800,501,318,502,500,103,107,503,649,800,649,282,996,649,130,501,500,501,502,500,649,503,501,282,447,800,800,649,282,502,502,800,649,501,503,501,503,16,282,501,800,500,501,103,526,502,649,502,649,502,501,800,503,502,502,649,503,502,503,16,504,649,502,649,903,360,502,502,16,800,800,800,119,649,502,502,500,500,649,649,502,800,7,503,503,503,16,800,503,282,668,800,415,282,502,501,502,501,649,649,501,503,500,800,500,649,500,503,503,501,282,800,503,800,502,502,501,500,649,500,107,871,503,835,649,502,282,502,601,502,800,503,500,501,649,282,503,649,345,502,503,282,502,501,503,612,649,646,500,774,500,649,503,649,500,758,503,502,800,500,500,502,501,922,16,501,649,649,16,282,649,500,503,282,502,649,500,501,502,282,503,501,500,846,500,282,501,649,282,501,649,649,501,503,282,502,500,501,649,649,282,500,500,500,503,724,16,284,649,503,282,649,503,500,501,503,501,503,501,649,500,649,500,16,649,504,649,501,649,649,649,649,810,649,500,588,282,502,649,501,649,744,501,500,503,503,502,500,810,501,107,800,500,649,800,800,503,282,855,502,504,800,500,239,500,501,503,501,503,503,649,500,649,500,649,907,500,501,503,501,649,502,282,501,501,503,669,649,503,705,800,503,103,503,649,502,500,16,500,649,500,502,503,401,649,502,649,800,649,502,501,16,502,800,503,502,199,501,649,502,502,501,861,502,282,502,649,260,649,649,501,474,411,800,649,369,502,800,503,800,409,503,503,504,800,649,830,649,503,500,800,800,800,282,502,487,649,503,500,705,282,502,649,502,503,501,800,503,501,800,500,502,501,503,649,500,501,363,501,500,649,324,503,423,500,282,503,503,502,500,800,282,500,500,503,85,705,649,501,800,503,649,503,501,501,282,504,503,969,649,502,800,503,501,649,503,800,501,282,16,503,388,501,254,502,500,649,245,649,502,16,500,130,501,282,500,720,501,928,649,503,649,501,502,744,500,503,649,500,880,800,649,500,504,503,501,800,500,500,501,502,502,503,502,16,282,649,804,649,649,503,500,501,500,500,282,649,501,282,722,16,503,16,282,800,501,932,649,800,501,502,503,282,800,705,502,503,501,282,150,501,503,502,465,800,501,649,122,501,649,649,649,500,282,203,649,282,502,503,500,502,282,500,649,649,800,500,622,503,502,501,649,16,800,501,502,500,500,500,502,501,282,107,500,800,503,282,649,500,503,503,103,502,502,502,502,501,501,500,500,800,282,500,502,800,503,501,501,207,391,800,238,16,501,502,500,503,800,500,503,500,501,500,826,500,502,502,500,649,800,194,925,500,501,500,503,500,504,503,500,800,649,800,502,362,502,501,396,175,282,500,165,800,800,649,503,282,800,891,282,800,800,800,500,147,552,935,649,800,800,16,800,984,500,146,521,968,501,502,800,649,502,502,800,837,502,282,282,503,503,462,560,501,501,16,148,501,800,800,800,649,456,503,800,282,391,16,501,800,500,222,503,107,183,649,282,800,428,282,501,800,501,500,502,956,649,502,503,502,649,503,500,282,500,800,501,501,435,501,502,500,502,502,282,502,800,503,503,649,504,705,800,800,282,479,649,282,502,804,503,56,16,501,649,502,134,503,502,500,504,586,16,282,501,500,502,501,282,649,503,502,502,500,503,649,777,500,501,282,282,502,800,649,504,500,136,800,501,502,649,811,800,503,780,649,800,502,503,619,16,500,501,501,501,500,282,649,321,917,500,800,766,500,137,500,502,501,372,501,501,149,503,649,500,800,649,503,800,503,503,282,639,16,151,502,753,501,503,649,500,649,500,502,649,502,504,503,502,500,282,500,502,995,501,501,649,503,555,16,503,800,502,800,504,649,501,503,500,800,502,500,503,501,500,800,500,800,501,16,800,649,16,235,500,649,503,503,503,500,500,501,649,282,800,503,282,800,649,503,282,502,662,800,649,282,649,87,503,960,800,187,800,503,282,500,501,503,282,649,156,503,502,800,500,649,701,649,107,503,500,500,282,503,800,800,501,500,501,395,503,500,649,282,503,500,649,649,503,649,282,501,282,649,649,500,500,649,282,502,649,503,800,649,649,139,500,16,800,503,282,800,800,501,172,800,503,649,107,649,649,503,282,502,16,649,501,502,800,844,649,500,800,282,282,502,409,282,197,800,745,500,332,503,845,500,170,503,649,503,267,282,275,800,282,501,503,501,649,971,500,501,800,282,125,500,800,501,502,502,577,800,800,500,282,649,502,103,503,501,87,282,282,501,839,800,502,502,503,502,503,516,846,282,503,502,800,503,516,800,501,16,501,503,282,500,503,649,649,626,503,800,324,502,16,503,501,501,649,917,649,503,800,500,822,649,503,501,500,503,500,800,500,500,502,501,800,503,806,502,649,502,500,689,502,503,502,502,503,500,502,649,761,799,500,503,800,251,727,503,503,500,503,16,800,800,649,502,504,800,503,501,800,649,500,649,800,500,501,649,501,503,502,501,503,501,800,500,500,501,649,502,391,501,107,502,500,649,501,503,500,503,649,501,500,503,649,503,590,649,503,649,800,500,800,504,800,504,800,123,282,473,649,107,500,693,502,800,500,800,501,800,800,500,500,800,500,16,755,800,100,800,503,501,502,649,501,16,649,503,800,649,503,503,649,244,282,649,282,282,800,282,502,800,501,502,500,501,649,503,503,800,674,800,504,649,649,502,501,113,800,800,16,739,503,500,218,504,16,501,800,800,501,338,500,649,103,501,503,800,649,460,649,800,500,282,503,649,501,500,800,503,282,16,16,800,500,503,500,502,501,800,649,502,501,502,107,501,503,500,800,500,503,503,502,502,649,502,103,947,668,649,500,501,503,500,500,649,282,537,504,503,502,500,502,807,282,800,502,501,800,649,800,503,800,282,503,504,501,800,503,352,800,649,282,502,502,501,501,649,649,649,501,501,800,800,649,500,503,502,503,800,16,500,500,502,500,649,504,503,503,502,482,502,800,503,502,501,501,800,501,649,649,800,502,282,417,500,503,503,649,503,503,502,434,800,500,502,503,501,282,502,501,502,502,502,502,800,503,500,193,765,572,501,649,500,502,649,16,500,502,649,649,503,503,500,800,282,500,458,502,649,500,723,734,500,502,714,501,590,662,503,649,500,501,503,282,649,121,664,649,503,649,282,649,800,101,649,502,500,503,282,800,282,500,503,502,800,502,500,800,501,501,16,503,502,800,503,800,503,182,282,800,502,649,500,649,422,649,16,282,800,503,502,503,649,502,502,500,649,501,500,800,234,503,800,800,500,394,500,282,649,282,649,192,649,107,800,801,649,606,282,208,764,649,501,503,649,16,501,800,504,649,500,800,502,502,501,501,501,500,500,501,503,501,649,999,503,800,107,387,800,649,282,16,503,503,501,500,501,503,503,16,502,800,502,765,16,649,503,503,500,502,282,502,282,649,807,100,800,649,16,908,649,503,502,282,502,503,503,502,503,501,503,500,800,500,800,502,500,502,857,501,502,282,16,800,339,282,500,501,148,503,501,649,613,649,500,282,343,912,500,828,501,500,16,800,503,800,649,503,282,501,800,503,649,414,500,26,649,501,649,212,460,503,500,800,502,649,501,800,500,800,501,500,501,990,503,500,502,649,502,503,501,282,282,800,649,957,800,107,806,649,282,502,501,709,500,501,500,502,500,500,800,282,649,103,501,502,504,649,502,502,500,503,504,927,282,874,501,501,649,649,503,725,649,501,501,649,127,800,503,504,500,502,503,649,779,800,800,500,502,800,503,501,502,500,649,503,502,649,502,800,107,500,503,800,649,800,503,501,500,153,16,501,649,501,800,800,501,504,503,501,504,502,501,501,504,502,501,501,500,800,649,503,107,649,800,502,800,74,16,800,500,649,501,899,800,282,500,502,800,649,500,62,503,282,800,502,740,502,800,502,649,16,501,925,284,693,500,501,503,500,809,503,502,501,502,503,501,502,501,504,503,800,649,504,123,800,107,500,433,502,502,501,503,800,649,503,649,16,501,502,501,500,501,500,16,500,503,501,503,502,500,103,502,649,503,500,282,807,282,649,800,503,800,800,504,501,800,504,649,503,16,649,679,800,501,800,649,649,502,649,502,649,649,503,282,800,502,45,704,500,649,503,641,567,503,502,503,107,501,282,503,503,16,800,501,800,800,800,649,503,501,502,282,649,503,502,503,502,502,501,502,500,501,800,500,502,800,16,503,502,501,501,282,16,282,649,503,392,800,504,800,503,502,493,16,800,142,107,501,501,476,503,500,800,649,800,503,334,502,800,302,800,800,16,502,1000,504,503,502,500,800,504,501,800,502,502,502,649,500,800,107,520,500,500,800,53,500,500,503,500,500,503,504,503,16,494,649,16,500,695,503,800,649,649,502,502,282,500,800,493,800,800,495,107,128,500,339,503,503,253,649,502,649,649,605,800,500,912,649,649,502,503,649,500,337,757,502,502,649,282,800,316,655,800,503,501,649,282,757,503,501,502,500,649,501,500,501,800,503,23,503,282,128,500,501,605,501,500,503,800,800,800,30,16,450,103,649,503,649,500,800,889,502,501,500,650,502,503,503,649,503,502,500,503,502,800,862,502,100,649,503,502,503,503,705,800,705,500,649,502,502,502,503,649,649,649,735,282,500,649,649,649,500,800,501,500,649,103,649,800,800,800,548,500,503,502,502,800,649,282,503,501,649,500,501,649,807,649,503,503,501,500,800,501,649,89,800,500,501,906,800,502,800,502,800,503,258,501,800,501,502,393,502,332,282,819,603,433,202,28,162,503,502,649,936,282,504,502,649,502,501,503,340,502,16,503,87,500,502,16,500,800,503,922,800,800,500,800,905,500,503,16,501,503,282,502,501,500,503,16,501,500,800,502,502,649,649,107,16,500,501,649,800,282,501,501,649,800,502,502,649,800,649,500,649,503,501,500,501,500,932,503,771,800,500,501,501,501,503,501,649,500,649,800,503,501,800,935,282,501,504,503,500,800,501,500,800,591,501,649,800,800,501,844,800,500,501,502,501,503,242,501,501,503,16,282,501,501,649,501,501,500,502,500,649,800,649,800,282,649,231,500,500,500,800,501,503,800,282,819,500,238,500,649,16,800,502,800,502,103,503,79,739,110,502,657,502,501,649,501,800,503,500,282,16,800,500,502,501,502,501,501,282,500,500,503,800,502,800,501,282,500,501,503,753,800,500,16,282,504,103,501,501,502,860,504,889,90,800,501,183,502,502,500,282,501,800,500,16,504,500,107,500,500,800,503,16,649,649,500,500,503,399,832,282,501,282,500,319,500,501,649,502,800,502,500,500,503,502,502,500,649,487,501,501,438,502,800,502,800,282,800,858,649,649,502,500,501,503,500,282,16,649,649,649,16,800,576,944,282,282,800,800,282,501,501,500,502,623,800,500,503,726,131,503,502,500,501,500,282,800,500,649,502,417,503,649,16,649,800,500,501,501,57,649,282,282,501,503,486,500,503,402,502,78,800,504,282,504,43,649,107,649,500,628,800,500,649,503,800,502,940,891,500,103,502,282,503,649,503,347,478,649,504,800,800,282,502,501,649,502,282,501,504,503,800,503,892,282,503,501,467,500,502,501,501,800,177,500,282,503,800,500,177,675,651,503,500,501,800,501,503,649,224,500,393,503,503,500,503,16,16,503,800,800,504,501,501,649,501,501,16,321,649,800,502,800,500,500,501,649,503,649,16,500,282,800,582,800,649,500,586,501,800,282,287,241,500,800,500,501,800,282,282,843,995,817,500,791,501,649,504,502,503,649,502,282,501,462,728,16,800,501,282,16,502,501,16,800,500,705,649,503,174,800,502,501,649,500,501,502,649,502,649,327,504,16,649,649,649,502,800,103,371,800,502,503,800,649,500,649,503,800,504,514,501,800,500,501,502,504,649,954,502,502,500,501,502,503,986,502,500,649,502,44,282,503,451,504,501,503,501,501,129,501,649,503,500,502,180,500,282,501,848,502,501,502,501,891,503,502,502,800,16,502,800,501,503,502,649,649,503,500,800,800,649,649,282,16,500,720,282,282,502,800,649,282,649,503,502,503,504,500,961,500,501,282,502,504,502,16,502,16,502,649,531,649,502,282,501,500,800,800,502,937,502,649,503,500,800,16,282,500,800,800,500,502,502,282,16,500,502,800,282,800,649,282,282,501,501,503,649,504,500,500,502,114,191,107,501,800,661,500,649,649,800,282,649,89,649,501,800,500,503,649,502,159,501,501,649,502,502,899,501,72,649,500,287,800,502,502,16,502,501,501,502,501,503,649,107,649,649,501,649,649,502,502,649,16,800,649,649,500,231,502,800,500,503,501,503,649,649,503,960,500,500,502,501,800,649,800,282,500,16,503,503,500,800,501,800,500,503,243,503,800,16,500,16,500,282,16,500,502,503,501,501,30,800,800,503,800,502,503,502,182,263,649,800,504,500,501,503,503,800,504,500,503,502,502,500,501,503,501,500,649,800,501,500,503,503,851,800,107,501,209,502,503,554,500,800,500,800,503,649,501,395,800,282,649,501,649,800,502,503,970,502,800,500,502,212,504,504,649,501,503,500,800,107,800,501,648,107,503,500,500,500,649,502,649,500,503,800,536,800,649,503,503,282,500,800,800,800,501,501,649,241,502,502,800,503,16,282,503,562,501,501,501,501,649,501,504,500,649,649,501,501,649,501,649,854,874,612,800,502,800,800,503,504,502,503,649,502,871,502,501,503,282,503,501,502,649,502,503,502,502,649,503,649,501,501,335,500,503,500,800,800,502,502,501,503,500,501,649,500,502,800,501,649,649,500,649,502,503,16,500,649,503,500,501,842,501,649,500,503,800,502,800,16,649,500,649,502,502,168,800,502,934,649,135,501,503,649,500,500,502,815,502,649,500,503,107,800,501,649,502,16,16,503,294,363,503,16,649,502,502,649,800,501,501,705,103,282,282,501,800,800,504,503,282,103,282,501,107,503,500,503,649,504,500,282,501,500,107,502,800,800,501,68,800,500,500,800,504,103,501,503,800,503,400,800,800,649,649,649,649,504,800,282,500,800,800,649,16,502,901,649,500,719,181,502,503,282,502,613,501,502,501,649,282,16,192,587,391,501,502,502,206,649,501,649,501,502,501,503,16,580,16,800,502,503,153,502,282,500,16,649,503,93,501,501,649,800,501,502,800,282,501,500,502,800,504,800,500,502,504,649,932,16,649,500,501,503,282,342,800,501,500,500,503,501,240,649,649,423,649,649,500,503,501,469,504,502,649,503,800,501,107,503,501,649,501,502,502,500,649,649,16,504,503,500,649,502,649,503,500,502,500,503,501,502,502,502,350,500,502,95,16,683,314,502,500,282,501,282,503,649,282,800,649,501,500,253,501,503,649,500,503,500,223,800,103,649,501,800,501,501,503,500,500,800,503,502,800,502,282,501,503,502,649,503,502,282,16,502,500,649,649,500,500,800,502,236,50,503,502,282,502,800,502,800,137,500,16,503,502,502,500,576,282,500,501,633,503,503,649,503,501,649,503,501,649,591,502,503,16,282,118,800,800,502,800,503,504,502,125,501,409,30,501,649,283,282,649,649,503,16,500,606,503,502,503,502,282,501,501,501,502,503,245,501,501,517,16,800,432,800,344,256,649,16,500,503,502,987,649,501,503,800,502,649,501,501,282,503,800,502,502,500,800,500,502,501,282,502,800,800,501,502,503,503,282,800,503,503,501,768,282,502,649,502,800,731,502,501,501,501,502,566,800,502,502,800,502,649,364,800,16,649,503,649,503,69,503,501,501,503,800,502,502,501,503,800,502,282,282,649,500,501,503,501,426,800,503,649,502,501,649,500,503,503,504,503,503,501,501,504,502,16,763,800,503,500,500,649,282,503,649,503,800,502,502,282,500,501,800,649,501,800,503,649,503,282,103,800,282,501,764,649,500,500,501,649,995,282,800,501,800,502,649,800,503,502,500,502,500,503,500,649,40,800,121,282,503,502,501,800,649,502,649,800,500,649,502,501,16,649,495,189,649,282,500,503,503,502,640,501,649,502,500,501,992,502,107,948,184,649,503,800,649,502,503,500,501,501,127,501,503,500,502,501,649,503,500,913,282,501,772,800,526,500,649,800,282,503,503,398,800,503,500,502,282,800,800,502,282,649,649,500,503,503,995,503,510,800,501,705,501,501,649,16,800,503,502,502,954,649,500,500,113,649,800,16,502,921,502,501,16,282,705,76,800,282,477,649,503,500,502,234,501,800,65,800,503,502,146,282,504,503,649,89,699,254,256,500,502,502,315,503,500,751,500,649,800,501,502,800,504,503,500,16,503,503,502,502,16,500,800,502,503,500,500,107,501,362,502,686,705,568,649,282,800,503,503,800,501,503,500,503,501,800,649,501,649,649,649,501,16,500,282,500,708,649,16,500,500,889,988,282,572,271,503,502,502,503,800,676,503,502,800,502,800,500,501,649,10,503,501,501,501,500,501,800,500,657,502,282,649,649,501,893,649,500,800,649,243,16,282,619,282,500,501,501,417,800,800,503,855,503,503,800,501,500,88,800,500,896,282,500,298,502,282,649,649,503,500,501,282,800,288,85,500,807,503,503,503,705,800,503,501,502,599,649,501,649,501,800,800,800,500,272,504,501,649,800,501,501,649,893,800,649,800,649,649,16,509,661,800,501,503,500,800,502,649,501,502,950,503,800,649,500,502,503,649,800,501,282,913,567,649,504,800,500,501,501,16,800,499,500,502,800,649,649,501,502,501,282,800,503,502,501,800,574,649,502,502,502,500,502,502,503,800,503,649,649,282,502,800,282,800,500,503,248,500,502,503,501,649,649,800,331,503,649,800,501,502,798,800,282,501,800,500,800,282,502,800,501,384,800,504,107,800,16,500,500,282,800,385,500,649,703,282,282,500,800,503,705,502,555,649,489,754,500,649,282,649,500,800,649,649,501,503,800,800,63,502,502,503,649,800,501,800,291,800,800,212,503,989,800,800,502,502,100,649,501,800,282,501,503,501,502,649,500,500,502,649,501,501,502,501,800,502,500,502,500,800,103,282,282,503,501,434,649,501,502,501,501,502,649,501,501,500,501,800,501,649,500,501,502,649,503,544,455,895,800,500,991,504,501,502,649,501,800,16,800,500,800,800,103,503,501,502,500,501,500,800,800,649,800,649,500,500,649,649,503,501,501,16,502,282,503,501,502,641,649,500,501,503,800,502,501,282,500,162,649,502,16,800,649,500,503,282,503,800,800,501,350,375,501,501,16,649,980,502,16,501,502,800,649,502,500,800,500,503,501,800,502,503,282,501,800,800,503,330,880,282,800,500,500,502,500,649,503,282,503,502,800,500,282,500,189,649,503,16,649,282,502,784,800,282,649,500,501,800,502,280,503,630,800,800,702,648,501,800,500,503,501,504,500,800,502,500,501,318,500,649,500,501,503,649,503,800,649,649,16,800,16,503,800,500,385,649,500,502,16,669,282,282,500,502,649,503,502,162,649,16,16,649,503,800,500,502,150,649,245,501,503,800,649,800,503,502,501,503,500,649,282,800,503,503,705,422,554,502,649,258,500,869,500,500,503,16,649,501,800,502,363,282,501,800,107,287,129,500,500,999,978,502,107,16,649,282,649,500,500,502,500,503,500,16,649,502,503,107,503,500,502,800,503,503,800,649,502,800,800,800,500,800,16,503,282,501,500,502,649,800,800,502,502,501,502,502,502,504,502,501,503,800,686,800,282,502,502,500,132,800,502,503,501,800,205,503,503,503,314,649,502,800,503,649,649,501,503,282,500,282,501,501,503,503,503,800,503,625,649,503,649,800,502,282,16,282,502,503,503,502,502,800,404,649,500,500,649,503,501,99,502,329,502,500,649,501,800,282,502,503,993,282,289,501,501,501,17,800,649,500,500,503,502,502,800,481,503,503,501,501,501,503,164,79,800,649,16,800,622,800,501,800,649,501,500,501,282,502,282,597,800,501,649,8,500,503,649,500,502,502,800,181,73,828,649,877,502,194,800,500,16,649,649,649,800,500,502,502,501,282,501,502,500,500,504,501,16,390,746,649,649,502,502,855,503,282,649,545,504,649,500,800,800,500,649,649,501,649,502,649,501,500,502,500,800,649,500,649,502,800,500,502,800,500,501,282,501,649,800,650,107,500,503,502,501,502,501,502,282,500,649,800,502,649,800,500,649,501,282,649,503,500,282,282,173,649,503,501,800,503,649,503,16,501,502,800,502,503,502,501,503,649,502,504,800,502,506,649,501,800,800,501,503,502,282,503,503,503,364,800,763,800,503,282,502,16,502,986,649,649,649,503,649,396,917,800,282,800,282,282,501,504,282,649,282,649,800,502,649,515,502,991,503,800,503,282,282,50,500,503,649,649,800,503,503,502,800,501,649,876,503,502,282,503,282,282,501,649,502,500,649,366,503,502,500,501,16,500,644,800,649,649,502,16,800,800,282,500,282,501,502,932,4,800,800,503,500,503,503,502,649,613,800,381,502,649,504,649,504,502,503,547,433,649,501,503,503,502,282,800,500,503,800,649,503,649,503,800,969,800,255,800,110,800,503,500,16,282,800,504,800,500,503,16,800,800,500,282,807,501,502,504,500,501,800,282,501,501,502,502,649,800,501,500,501,501,253,501,649,107,649,16,649,503,800,800,107,502,107,500,503,503,500,500,503,501,800,501,866,800,502,649,501,800,999,943,282,500,500,649,716,16,503,501,501,178,649,312,500,501,502,649,502,503,16,503,800,772,500,501,686,500,502,800,501,500,503,282,502,649,501,504,502,501,503,164,649,282,500,500,501,980,501,502,649,800,503,502,501,502,503,503,800,800,500,503,500,502,800,800,309,649,800,282,800,500,501,502,649,503,692,503,649,502,502,501,649,503,503,16,800,649,649,95,502,502,503,649,501,502,16,800,800,503,503,800,800,501,649,502,282,503,503,502,800,800,282,282,282,501,500,503,282,357,103,79,503,649,800,649,502,501,500,501,800,800,502,500,16,65,500,282,502,802,649,503,138,503,500,503,649,46,282,846,501,62,282,503,500,502,800,500,800,395,501,649,502,500,500,501,16,800,649,547,501,649,649,800,282,500,501,16,501,649,503,500,503,800,16,501,504,500,282,503,471,800,501,503,503,503,282,649,502,986,504,502,800,282,520,282,16,500,800,502,502,649,500,500,649,400,649,282,800,975,800,502,800,500,800,649,503,649,16,502,504,703,500,501,649,649,502,739,502,502,502,649,501,503,934,557,502,502,282,502,504,884,238,649,502,296,501,501,14,282,16,500,16,104,500,16,500,448,504,16,800,800,502,500,502,649,501,282,718,341,502,500,282,800,37,282,649,503,501,501,501,800,800,800,501,501,800,503,884,649,282,501,649,501,258,16,73,813,800,501,800,800,503,649,503,500,649,416,500,503,16,800,649,649,36,500,107,800,503,503,800,501,501,649,504,501,501,800,501,503,387,800,502,500,922,502,503,502,501,282,500,502,282,282,649,500,434,800,800,717,503,16,152,323,502,357,503,501,800,16,502,649,282,500,55,501,502,504,502,500,501,649,800,501,501,501,502,501,395,307,971,282,103,800,500,503,16,502,800,282,16,501,501,503,500,503,449,282,282,214,800,500,502,502,503,649,500,502,502,800,649,488,500,501,800,502,16,500,503,502,282,753,16,800,502,649,504,500,502,501,503,282,800,649,502,500,477,649,800,107,502,501,800,297,503,800,800,282,502,502,282,649,503,800,502,649,502,501,501,282,501,501,282,501,501,800,503,48,649,649,649,800,502,16,763,501,500,649,649,282,800,649,800,316,103,705,500,830,500,502,501,500,501,503,500,649,114,501,649,780,649,800,800,649,397,372,501,282,502,502,501,502,503,649,502,800,100,500,503,501,501,103,649,500,16,800,649,800,501,501,501,649,502,800,53,282,623,501,800,502,800,500,503,501,16,503,890,501,594,502,500,127,502,501,467,649,649,282,501,649,800,501,649,504,16,649,649,800,649,503,501,282,501,282,501,501,501,503,649,422,649,16,502,800,800,501,500,107,282,502,668,503,501,238,954,502,503,501,649,503,500,503,649,503,649,503,282,282,503,503,500,800,649,800,501,502,341,502,800,282,500,282,800,649,649,800,502,800,500,503,21,111,282,649,16,649,503,800,504,502,282,211,649,490,282,503,649,664,649,390,501,502,500,503,282,800,500,500,848,282,282,546,500,781,502,503,500,103,500,500,503,500,501,500,503,649,649,502,282,649,501,16,649,503,501,800,500,503,501,502,501,599,503,502,397,800,500,649,500,800,501,502,502,805,500,502,503,500,649,649,988,501,501,501,800,911,800,503,502,501,503,503,501,649,282,649,16,501,501,800,103,535,502,110,16,501,800,501,502,503,503,503,501,502,500,649,501,503,649,502,649,503,500,649,927,446,58,502,500,516,800,502,501,503,261,131,977,501,503,503,502,328,501,501,502,502,501,491,503,800,649,800,503,500,500,500,502,504,282,502,500,649,649,800,80,502,501,282,501,503,635,500,800,649,501,649,705,705,501,836,807,500,503,16,503,800,503,502,504,500,500,503,649,800,800,649,16,501,503,556,502,800,502,500,392,800,503,892,502,540,307,16,500,503,305,500,16,282,282,649,107,500,800,100,800,800,503,504,649,501,502,503,800,503,500,649,800,502,649,502,649,500,649,500,282,400,16,500,649,649,502,110,502,107,609,649,800,649,501,282,800,800,502,649,501,502,800,705,282,400,502,800,500,397,800,955,649,501,649,502,501,970,800,500,800,189,501,501,503,282,500,282,500,501,16,800,567,433,649,503,500,800,800,107,503,800,501,800,16,705,466,501,502,392,649,501,502,502,500,800,649,649,800,501,649,840,649,502,503,785,501,116,16,501,875,838,500,503,500,649,500,107,503,247,502,502,502,502,502,649,598,649,502,500,501,502,500,282,500,705,649,649,800,649,282,848,800,282,103,502,500,500,800,502,800,107,501,502,500,502,103,649,502,800,504,502,800,282,501,375,501,500,649,502,16,800,836,649,501,780,502,16,649,800,282,757,889,502,649,800,847,503,649,678,800,786,501,504,502,501,649,800,282,502,8,501,503,503,500,501,876,500,504,800,236,800,501,503,800,800,502,501,500,501,501,919,158,282,501,503,504,912,502,501,59,800,501,54,649,503,485,800,649,800,800,500,501,502,503,500,807,282,503,503,503,800,500,851,649,649,504,504,501,476,107,500,503,502,671,649,502,99,502,16,501,502,501,649,502,501,461,649,205,305,16,649,282,31,800,503,504,500,107,753,800,800,800,731,503,180,500,800,503,800,500,649,282,503,800,800,500,769,503,649,282,502,800,427,501,282,191,800,475,649,800,503,800,282,500,649,800,504,501,502,501,501,503,649,502,500,16,503,500,501,500,502,991,525,503,282,503,502,500,503,503,282,500,800,502,503,800,57,501,649,502,16,800,503,649,800,649,500,800,282,502,502,282,16,500,501,502,504,501,501,508,649,282,800,503,502,502,502,503,503,503,503,500,502,649,800,649,568,502,502,282,500,500,542,649,800,649,503,864,504,501,501,503,501,800,282,503,282,500,502,501,502,501,501,502,502,649,500,649,649,501,503,502,501,503,500,800,500,107,501,649,502,800,282,502,800,502,756,503,107,501,51,500,800,500,503,649,503,503,501,649,800,708,649,282,501,501,503,500,501,501,504,13,501,282,501,754,501,500,503,500,502,16,16,16,16,501,281,501,649,649,500,502,503,500,873,501,282,800,502,500,502,746,502,649,986,800,649,800,282,500,800,649,164,503,16,501,500,800,500,503,501,500,282,502,800,500,85,282,500,649,500,649,800,502,503,649,800,501,502,800,282,800,649,856,95,208,16,501,282,500,501,391,500,145,500,501,800,500,500,500,502,800,501,500,952,503,503,667,649,800,649,500,502,881,502,500,800,649,16,502,501,500,649,107,649,282,503,848,500,503,29,500,503,502,800,500,502,502,16,649,500,788,294,282,649,16,516,107,649,800,800,625,107,501,504,800,500,500,500,504,1000,317,500,649,649,504,649,800,16,500,503,502,800,800,501,800,527,502,16,551,501,649,503,500,500,282,501,800,502,503,418,504,501,800,500,501,501,500,649,800,928,649,500,503,649,800,800,502,503,502,692,501,501,501,501,503,978,502,649,503,649,974,500,500,649,502,167,25,501,800,649,502,649,502,502,16,502,16,787,502,502,800,282,504,672,502,501,282,502,500,800,501,800,502,502,500,589,649,800,16,649,800,501,501,502,918,500,800,502,16,282,500,919,500,282,459,501,501,501,649,502,265,501,504,458,503,500,501,501,501,502,500,649,501,705,642,916,503,800,502,502,16,504,503,16,800,501,502,491,501,16,217,649,649,501,502,503,649,501,501,473,502,503,500,649,800,90,500,16,503,800,503,502,800,502,502,501,501,954,16,807,501,501,649,800,501,502,503,502,501,915,300,502,282,800,649,503,503,800,500,304,16,482,503,16,502,649,800,502,851,282,501,502,800,16,502,500,500,282,501,500,649,501,502,649,754,501,502,502,502,501,500,459,649,500,800,103,649,501,503,380,807,570,500,501,500,649,496,502,649,649,503,649,503,500,522,91,501,501,500,503,500,16,501,501,503,500,501,800,503,649,376,754,502,500,155,649,424,501,502,503,501,501,282,282,503,503,502,800,500,800,800,503,503,501,503,351,503,282,800,500,500,502,502,800,16,800,16,500,502,493,503,370,726,504,502,282,282,500,503,800,503,828,500,502,649,502,503,800,566,500,502,500,503,500,500,661,107,393,107,16,500,503,501,800,649,649,496,503,649,28,503,800,503,282,503,649,501,502,241,800,800,800,501,800,978,800,502,649,144,501,500,500,500,501,800,16,504,501,800,282,502,649,465,800,800,649,502,501,649,503,502,502,339,800,502,103,800,649,502,503,649,500,501,800,659,768,753,501,500,800,649,282,220,500,649,800,16,800,501,800,502,503,503,800,502,502,282,502,502,800,504,500,649,501,501,800,503,501,800,503,649,649,282,501,502,372,16,500,501,558,500,649,503,169,649,501,501,800,501,501,501,503,649,500,503,502,528,501,649,800,500,649,791,282,501,502,800,500,800,500,502,389,502,501,649,522,649,501,800,614,907,649,457,239,501,501,800,282,500,501,500,503,16,16,28,503,800,649,503,800,501,928,649,289,649,502,16,282,649,501,502,501,503,649,503,503,282,500,500,501,501,500,649,503,89,16,649,649,282,649,500,504,501,501,649,500,800,800,503,502,500,415,500,649,501,649,502,503,501,503,282,649,800,500,501,500,502,503,649,500,282,800,649,649,500,501,282,502,500,800,500,649,503,800,282,500,16,500,504,503,649,503,500,842,282,502,800,500,503,282,595,501,500,500,236,500,511,501,16,649,500,503,500,612,282,800,503,501,84,501,501,503,503,800,501,649,500,501,649,282,501,889,16,500,800,800,282,502,282,500,735,282,825,800,649,503,502,501,503,649,489,649,800,500,500,649,503,503,649,800,500,503,500,649,500,502,800,920,262,16,649,500,255,502,282,503,501,500,800,800,500,503,774,502,502,800,503,503,649,282,838,500,501,347,649,649,100,500,504,501,502,699,649,584,169,800,282,501,501,502,126,107,800,96,500,800,159,282,501,753,503,16,800,800,503,573,800,500,965,503,800,501,501,501,800,503,501,800,502,800,649,649,171,800,800,503,173,503,800,502,503,504,649,282,500,451,503,502,501,500,636,100,357,502,818,503,500,500,649,819,500,649,500,649,500,502,501,190,502,675,709,503,501,500,502,112,503,500,502,103,240,800,649,633,800,649,503,502,649,800,500,501,282,500,500,769,16,800,345,705,800,500,500,649,500,500,649,181,501,501,11,649,501,649,503,501,502,649,800,107,501,500,502,649,503,576,8,649,503,501,502,425,678,500,503,500,500,16,502,649,500,501,501,716,551,501,502,503,503,800,800,503,503,503,503,800,503,800,502,503,800,282,649,503,800,502,501,502,503,504,502,500,500,502,58,649,800,649,808,16,501,503,501,649,502,16,282,502,502,800,800,503,503,503,16,501,500,502,501,800,502,800,503,503,500,649,500,501,471,800,502,800,800,500,502,298,503,500,502,885,502,649,500,502,502,503,503,502,282,649,800,502,649,502,503,503,500,818,502,807,501,502,714,779,649,500,500,502,501,502,703,649,800,800,800,500,649,502,107,543,800,501,503,503,502,501,800,800,155,502,976,649,800,501,503,862,938,800,504,103,503,502,120,500,500,500,282,501,500,282,282,503,800,103,500,649,501,649,502,500,58,501,800,16,649,503,649,45,800,800,500,503,800,800,500,500,800,273,282,501,800,961,649,503,800,649,950,800,800,500,649,500,107,16,564,503,579,34,501,16,800,503,500,800,649,503,649,282,501,807,649,502,649,717,501,16,500,649,503,282,502,649,503,800,501,500,800,649,501,500,502,501,501,649,16,502,501,649,502,649,502,800,502,168,649,501,800,502,220,501,649,282,502,800,500,503,500,103,800,495,501,501,705,16,16,500,500,649,500,500,649,500,500,828,503,649,500,504,501,282,503,649,500,868,649,501,502,16,503,472,800,502,800,649,503,501,282,282,282,800,501,282,800,282,502,501,502,800,503,503,503,800,501,501,649,502,282,24,42,107,500,503,503,500,800,532,16,502,501,501,800,649,501,800,282,500,649,16,503,649,672,503,502,501,282,705,282,800,502,800,649,649,501,503,649,649,282,503,800,501,502,800,800,501,504,501,501,16,649,503,501,27,16,502,800,501,500,503,641,503,502,502,649,500,500,649,500,503,649,649,501,800,500,649,800,800,501,500,649,282,649,649,501,649,52,800,503,502,800,800,503,282,503,501,503,800,800,501,649,501,500,282,503,282,501,500,502,800,502,501,449,282,503,891,503,649,16,501,989,649,503,800,500,649,501,500,800,800,16,502,788,16,500,500,503,503,503,503,127,578,16,502,501,649,800,800,16,502,649,649,502,418,282,282,502,649,500,501,503,501,351,502,502,502,754,501,500,500,501,501,649,502,800,732,800,502,500,502,649,800,282,456,503,800,649,800,733,800,852,16,640,273,502,502,901,282,503,500,504,282,16,500,214,649,649,282,502,500,503,501,502,649,500,16,282,800,501,800,649,503,503,502,501,500,500,282,282,501,792,503,502,346,649,501,16,320,501,501,502,502,500,503,501,501,800,502,501,282,800,503,503,501,501,16,646,500,800,649,800,282,500,501,649,16,501,502,501,502,403,103,649,503,597,501,503,649,503,488,500,500,107,500,500,500,500,649,491,800,500,501,503,502,501,104,282,501,107,800,501,800,502,649,800,800,503,649,528,649,12,501,649,649,596,649,500,800,649,502,502,500,504,502,16,501,649,501,800,800,800,649,503,502,500,649,503,502,500,761,649,649,800,503,457,800,16,503,503,866,649,649,388,503,649,501,649,282,500,800,500,502,747,503,501,800,649,800,649,189,501,502,649,271,501,503,800,500,800,693,502,500,500,442,282,503,500,500,103,501,500,503,501,501,282,282,503,500,31,502,501,800,500,500,282,649,502,502,678,805,326,503,103,800,649,850,800,16,16,502,800,649,501,503,321,649,746,501,649,501,501,501,502,501,503,500,141,800,500,502,502,649,649,501,16,502,500,502,16,800,502,649,800,501,16,503,501,500,503,502,649,282,800,649,649,800,501,502,501,649,502,800,282,503,649,503,817,800,800,786,775,745,500,371,504,501,501,504,503,500,503,501,800,503,501,800,502,503,649,501,800,282,500,500,500,477,500,503,500,503,282,653,800,500,649,500,501,500,42,503,501,107,732,282,282,502,800,502,502,800,16,500,501,500,500,501,502,502,959,502,502,500,649,500,282,705,103,965,501,282,800,649,500,503,504,501,502,234,451,282,282,503,500,502,501,502,649,800,800,502,649,501,503,649,649,503,503,159,503,501,501,500,172,500,649,649,500,649,501,170,800,503,282,800,649,504,500,503,800,502,16,107,501,649,800,502,500,501,501,502,501,192,282,800,503,800,282,852,503,500,502,800,503,500,500,800,502,500,503,916,800,339,500,800,649,800,582,501,501,800,503,501,776,164,500,766,681,501,503,16,500,282,501,649,500,501,503,500,504,800,649,649,500,502,282,501,800,503,589,16,501,800,502,319,102,800,501,800,503,433,800,501,315,501,107,502,800,501,384,501,768,800,800,800,214,649,649,16,503,282,16,800,502,529,500,800,500,502,103,504,501,502,649,500,5,503,800,649,502,284,593,649,947,503,500,649,502,500,500,502,500,501,800,649,501,800,800,503,800,502,502,502,500,282,282,282,502,890,503,643,502,502,282,282,501,800,800,501,800,502,501,800,500,800,649,800,502,649,719,500,500,503,800,967,282,500,502,500,649,800,503,649,649,649,800,501,282,800,502,865,490,503,282,100,502,503,282,503,649,502,503,649,503,503,503,191,500,282,193,8,800,502,282,16,361,500,800,894,107,282,503,282,800,800,16,800,501,800,502,800,649,501,501,501,501,730,800,800,720,500,358,501,502,699,282,501,503,502,649,502,649,896,649,649,649,501,649,500,500,500,800,500,16,502,501,502,807,503,16,500,501,500,649,800,500,282,649,282,502,800,503,649,748,16,503,501,502,503,800,501,620,502,800,800,800,649,503,667,502,503,800,649,501,500,282,800,263,502,500,649,500,501,800,502,502,502,655,500,503,800,503,282,649,282,500,503,502,649,503,260,274,502,501,503,788,151,528,800,106,800,503,800,503,501,504,649,800,649,501,791,501,649,107,507,500,800,282,143,502,502,800,502,807,649,649,502,503,502,800,500,581,800,501,500,503,800,282,60,800,649,16,800,800,649,107,649,649,501,800,503,502,503,503,503,11,502,649,503,16,800,502,800,500,503,500,282,800,504,501,649,649,549,500,649,649,503,649,501,501,502,501,546,502,503,16,490,800,800,500,500,48,501,298,503,649,502,103,502,503,810,800,140,501,500,649,501,651,500,800,501,800,500,800,800,501,591,16,503,649,282,800,649,501,649,504,682,800,985,649,500,503,649,649,500,501,649,500,501,282,800,559,800,503,502,886,800,503,282,500,500,282,503,502,512,800,282,501,501,649,500,500,304,800,500,649,282,187,559,501,502,649,800,649,36,800,405,16,800,501,502,503,502,80,282,800,800,503,800,501,501,500,503,649,500,502,238,649,500,500,502,800,649,500,800,649,649,800,282,310,800,649,150,649,501,501,649,800,953,800,503,503,800,107,501,502,649,16,16,501,282,282,500,282,503,282,649,503,800,503,800,800,504,503,502,501,502,282,503,19,501,504,500,800,568,500,502,800,649,501,282,379,502,502,503,16,649,800,800,649,527,503,502,503,103,501,500,502,500,500,800,504,282,503,501,504,503,760,502,282,502,847,501,501,502,500,500,502,500,500,649,800,800,649,649,503,107,503,503,800,503,95,501,800,502,800,503,503,282,503,501,282,501,503,84,800,502,500,649,502,503,502,500,282,503,503,649,282,649,649,800,502,649,502,501,426,16,649,502,501,503,503,500,503,502,649,107,800,240,500,35,464,503,502,504,282,800,503,503,503,501,500,503,800,501,807,504,8,649,51,500,737,649,282,501,500,501,649,100,501,649,1,282,800,502,649,503,503,649,501,649,16,501,503,16,523,524,501,502,502,649,800,800,649,501,649,782,282,800,103,501,649,502,501,500,501,503,800,649,800,501,649,649,503,500,800,409,503,926,282,503,502,694,502,501,800,800,501,649,502,800,503,800,503,501,502,656,501,28,187,501,800,502,501,502,649,649,502,649,649,282,501,649,500,800,502,649,503,649,500,800,16,501,736,800,649,503,800,800,800,502,501,103,649,282,649,503,502,500,502,503,923,800,234,649,500,502,500,500,502,502,915,282,501,229,501,649,502,503,780,500,370,502,501,502,649,16,686,501,503,502,501,501,503,501,735,501,502,502,649,367,331,282,800,502,282,800,649,500,500,503,649,501,501,649,299,501,501,800,64,649,502,801,800,501,793,839,282,282,503,649,241,649,649,800,502,501,649,500,501,649,501,503,502,501,185,16,502,800,107,501,503,501,16,501,800,501,500,503,502,503,27,502,282,501,800,503,649,121,501,282,504,502,501,19,107,800,575,500,501,386,800,16,501,501,501,649,502,998,501,649,649,501,501,649,500,282,501,503,649,500,503,649,501,502,649,501,649,649,502,501,87,501,500,649,800,500,503,800,649,649,501,501,504,556,500,800,501,501,500,501,500,501,502,501,503,500,783,649,502,500,649,502,16,649,502,16,649,502,649,800,282,16,503,649,501,501,843,501,504,649,504,502,503,649,736,800,649,649,501,482,103,800,501,16,282,649,800,282,502,502,800,649,502,500,504,862,649,500,9,649,500,800,503,500,649,500,649,649,500,502,503,502,502,649,986,800,501,503,282,504,503,649,36,501,800,502,800,800,501,503,501,33,503,649,503,502,800,500,503,500,282,649,800,503,502,649,502,501,282,501,503,500,503,502,613,16,282,649,649,501,800,503,500,503,649,649,503,503,501,737,800,649,786,502,16,649,282,649,502,502,503,800,800,503,500,500,503,800,503,649,502,282,503,500,502,800,503,500,800,649,503,504,737,282,282,16,800,643,800,446,501,108,503,501,501,800,502,501,501,16,649,500,649,145,500,800,800,502,500,501,501,649,501,501,503,502,282,504,649,500,800,500,503,16,501,502,800,649,500,503,502,501,501,800,649,282,649,503,500,500,800,500,807,501,874,503,242,800,649,705,503,649,107,501,16,368,649,16,282,500,502,800,503,282,800,649,502,501,282,502,502,502,502,503,649,649,502,415,682,502,649,503,649,649,503,500,649,500,503,649,501,649,500,502,800,503,712,501,501,500,16,501,504,503,800,501,800,503,800,714,800,502,905,117,500,649,637,282,503,501,503,800,16,800,503,800,649,282,282,501,800,500,800,649,500,282,800,501,163,501,503,494,502,800,649,800,979,649,282,500,235,500,500,501,501,502,649,504,502,502,503,445,378,609,800,500,503,502,800,500,800,502,800,500,545,800,502,501,119,501,282,103,503,282,649,282,800,500,649,649,16,500,503,501,502,649,503,501,568,501,262,502,501,649,16,649,187,500,649,800,503,800,649,800,500,501,501,800,503,649,103,502,703,500,503,350,502,500,649,502,726,500,500,502,649,500,967,282,800,649,500,800,688,501,16,800,800,500,500,103,800,500,502,502,649,503,328,16,800,649,800,282,503,16,282,502,503,503,501,502,502,502,501,282,501,502,648,800,501,391,503,282,856,822,503,107,891,504,500,649,16,649,501,649,500,649,501,500,800,238,501,501,800,282,929,501,649,800,502,649,649,500,502,738,503,649,649,502,504,503,649,503,89,503,501,40,503,377,286,500,800,649,649,501,800,649,800,16,503,584,800,800,911,503,500,501,455,800,502,501,649,317,503,282,501,501,500,800,501,500,649,502,649,107,501,282,16,649,186,282,500,649,649,502,500,502,500,800,500,500,502,800,649,502,800,503,500,649,504,953,649,502,503,504,649,800,502,800,502,500,500,800,369,282,503,800,16,282,502,503,649,503,649,500,800,501,500,800,800,16,501,502,637,800,504,800,800,16,649,649,501,501,501,653,501,501,500,800,722,649,500,749,503,800,649,502,933,800,800,504,501,482,503,504,501,649,800,634,800,800,107,649,500,914,649,282,282,282,501,800,503,500,649,502,502,800,502,502,649,503,503,800,503,500,501,530,800,501,569,500,503,503,282,649,16,503,503,163,800,800,503,275,503,103,500,503,282,282,502,800,500,282,800,503,649,649,502,501,649,503,503,501,16,501,500,767,500,649,800,502,503,501,503,649,501,502,502,501,501,501,501,800,881,501,501,649,502,503,500,382,649,649,649,501,500,81,16,501,282,503,503,500,500,649,502,500,890,500,500,433,502,800,502,503,282,282,649,503,649,501,649,800,800,503,282,282,501,501,800,500,649,282,800,61,501,503,503,502,906,501,649,75,502,800,438,107,894,500,598,800,352,501,800,500,502,282,501,649,501,800,502,800,800,503,649,649,649,504,501,16,503,500,500,800,501,501,502,649,502,502,502,255,649,502,16,502,500,282,649,501,800,282,502,16,649,800,649,503,800,501,800,282,502,282,928,326,418,500,501,502,503,952,502,502,501,416,16,282,282,254,501,552,502,501,53,501,503,503,500,649,503,800,500,800,388,800,502,500,282,649,103,503,500,500,20,500,656,500,500,113,503,83,502,649,800,649,800,649,501,502,800,502,800,502,503,800,649,800,649,649,500,502,500,16,351,502,500,501,500,103,503,500,500,649,502,374,500,800,501,502,910,501,501,504,800,373,728,503,501,332,362,502,649,800,800,282,842,649,503,312,103,649,800,501,883,800,800,538,500,502,800,500,503,501,800,649,649,800,800,500,996,800,16,503,501,501,282,649,501,16,553,800,929,54,503,576,502,501,500,744,282,649,500,501,649,502,500,500,208,500,856,282,649,503,500,16,282,800,501,649,23,501,500,503,501,502,16,501,800,501,327,39,502,501,800,649,282,502,282,649,800,500,502,502,649,503,649,694,503,503,502,500,16,500,649,926,503,649,500,503,649,501,500,26,956,748,867,282,500,502,800,503,501,503,503,800,964,501,866,107,649,500,282,649,503,480,757,502,500,500,502,800,503,649,501,502,503,501,500,503,282,380,503,500,501,503,16,282,421,886,412,649,500,500,502,649,824,500,649,501,502,504,546,503,67,16,649,800,800,502,501,649,502,800,501,502,649,501,502,649,502,502,825,699,502,649,501,502,503,800,282,649,649,502,502,16,649,501,528,501,501,502,500,500,800,502,800,938,365,501,282,649,282,649,282,503,313,649,282,503,493,888,501,503,503,800,502,503,800,501,502,501,501,282,649,282,908,501,800,649,485,703,501,500,397,649,504,500,798,649,649,825,501,503,827,800,255,649,48,502,129,501,800,500,861,503,800,500,649,501,649,501,501,502,502,649,649,757,501,649,501,866,501,282,800,649,500,800,16,500,501,502,500,501,502,649,649,501,502,649,502,503,501,905,501,500,501,800,500,649,829,649,502,502,503,501,503,16,500,501,502,649,16,503,503,502,649,502,103,501,800,502,16,503,649,503,30,502,500,502,502,501,282,800,800,502,502,705,649,500,500,508,282,500,500,500,213,649,649,502,503,503,282,501,282,503,649,503,503,504,221,500,501,509,502,502,484,481,500,718,503,500,503,740,500,25,501,16,503,759,500,282,502,501,649,282,282,800,282,501,501,800,649,503,800,900,500,504,503,500,649,649,800,16,502,649,16,800,500,501,707,649,500,503,502,501,923,500,500,971,800,502,501,557,500,649,800,500,503,800,800,32,649,800,282,502,501,501,500,500,800,649,501,103,112,915,501,500,500,800,649,502,503,501,413,16,502,503,649,502,649,500,500,500,103,649,502,503,500,800,16,282,282,501,503,649,504,502,500,649,530,649,503,501,649,800,550,503,503,502,649,501,381,504,503,800,501,649,501,501,502,501,800,649,502,502,503,503,800,282,500,456,649,16,649,282,503,503,649,649,651,500,800,501,800,503,500,800,500,800,16,800,500,500,800,800,502,502,800,282,800,500,649,968,503,503,502,16,800,503,502,16,501,500,500,649,500,649,503,649,503,800,502,800,397,500,500,503,496,800,500,910,501,502,172,649,649,500,502,500,504,502,501,501,800,500,358,501,16,500,260,800,777,800,781,501,501,503,649,74,649,503,16,503,500,282,16,649,800,903,501,501,649,800,502,500,500,578,503,500,501,503,502,282,800,374,503,511,800,501,282,649,649,800,649,800,502,503,501,675,649,899,500,800,649,107,16,649,800,282,655,503,107,501,501,503,800,500,502,16,502,503,738,500,503,282,500,246,503,16,800,502,502,766,502,502,500,282,103,800,503,503,501,501,103,503,501,501,649,800,16,543,503,501,500,502,502,501,107,500,107,502,800,347,503,501,503,649,282,503,800,501,503,503,800,501,649,596,90,502,500,501,500,649,943,503,502,501,800,382,500,501,503,649,649,500,800,520,500,107,800,500,282,282,282,502,502,282,392,800,502,502,501,362,649,500,282,502,649,502,501,419,282,503,503,282,503,503,503,282,503,800,649,502,649,649,502,502,649,800,800,502,879,502,503,649,502,649,649,501,282,503,107,649,282,800,170,800,649,649,504,639,573,16,501,800,502,501,501,500,649,502,513,503,649,301,500,503,282,502,500,503,503,649,728,282,385,500,800,501,502,502,807,503,504,649,800,501,55,649,503,503,282,39,649,481,800,766,649,502,649,16,503,503,800,500,800,500,500,365,649,800,501,502,31,972,501,800,503,502,501,503,649,500,307,502,869,800,814,282,807,649,282,503,502,666,501,502,501,136,503,503,503,421,503,500,864,503,501,500,800,501,500,501,282,16,503,501,501,500,503,649,503,649,800,502,649,649,800,42,649,500,503,502,931,503,500,501,500,501,504,503,829,502,502,649,500,103,500,501,502,282,219,501,502,649,888,503,800,500,500,663,500,503,502,107,518,378,999,501,649,282,649,502,956,800,501,411,282,649,841,800,501,503,649,503,649,502,502,502,500,502,6,282,500,501,500,502,649,800,800,500,282,303,501,649,503,501,500,500,502,503,503,649,500,16,502,508,502,785,501,502,649,442,500,504,59,503,501,501,282,503,501,500,800,282,502,500,500,500,503,800,282,504,800,502,282,503,501,103,649,504,500,16,502,800,501,649,502,107,500,649,800,303,282,500,502,800,282,500,16,800,500,501,800,305,649,800,501,935,800,282,500,16,502,800,649,282,282,800,503,502,500,282,16,501,502,449,501,502,649,800,501,501,800,503,503,504,649,800,501,502,501,502,502,705,649,649,16,500,501,500,16,649,500,420,500,503,502,501,649,501,800,649,504,501,501,16,800,502,649,649,503,503,247,244,501,501,502,309,503,500,282,500,474,502,501,501,800,705,502,500,31,649,705,443,502,503,950,800,649,501,800,649,649,800,282,60,502,485,282,599,500,503,649,500,501,282,649,103,649,800,413,501,717,502,501,503,282,649,800,501,500,502,282,503,649,10,283,500,502,502,507,501,500,800,501,649,501,800,649,649,502,502,502,502,503,800,503,501,500,649,502,504,649,16,649,282,503,501,800,800,501,501,800,221,500,500,2,649,501,649,800,500,500,800,105,199,502,649,501,501,502,500,501,502,649,800,729,354,500,334,502,503,501,713,501,800,649,503,282,501,800,720,800,501,16,649,649,500,800,502,282,649,800,282,501,504,800,500,502,502,503,837,501,705,504,649,649,500,800,282,502,649,501,502,502,500,800,951,502,500,649,649,800,887,800,501,649,649,500,203,503,974,649,649,500,502,503,649,496,78,649,502,800,503,502,649,501,501,282,503,503,649,500,800,301,800,649,502,502,282,500,501,791,184,649,503,282,800,502,560,899,282,501,649,602,500,649,501,800,282,503,705,500,800,523,800,875,16,649,501,16,502,500,502,107,501,800,649,501,502,503,282,594,649,503,503,800,409,649,503,501,501,376,568,500,502,503,800,282,800,502,649,501,502,282,649,947,800,500,282,502,411,103,16,16,282,503,649,501,500,649,649,500,503,500,649,501,500,800,502,649,500,500,649,649,282,501,649,501,501,501,502,529,502,500,501,107,501,503,800,502,503,800,501,282,800,800,800,810,503,503,282,649,800,649,216,649,500,502,503,107,282,501,16,503,502,649,282,500,501,800,49,800,800,502,502,500,282,649,502,502,800,800,320,502,503,503,649,503,649,282,502,649,649,282,800,501,503,501,426,502,503,476,16,500,502,282,107,504,503,800,46,501,800,282,501,470,501,501,840,500,800,503,16,800,501,800,503,800,103,16,501,502,335,500,107,800,500,103,800,282,800,533,501,282,502,501,800,503,502,649,107,649,503,479,501,501,500,649,503,887,800,633,501,282,502,502,800,800,500,173,502,501,944,167,107,501,800,800,649,501,398,649,500,282,504,800,107,502,649,501,800,500,735,502,16,978,16,503,800,503,668,800,501,649,649,800,503,800,501,966,501,282,502,282,500,501,28,800,720,501,503,800,501,500,649,887,500,503,503,503,380,502,649,502,800,502,502,800,800,502,649,800,502,133,503,338,503,502,800,503,751,500,649,503,501,502,502,502,503,500,277,500,800,800,477,503,649,800,503,502,501,649,762,16,500,282,800,501,282,500,649,107,500,500,776,501,502,502,282,501,282,502,282,502,501,800,282,16,563,501,503,503,282,282,800,503,649,194,800,282,501,503,282,966,624,329,502,501,500,502,502,502,305,649,906,500,501,182,649,16,503,501,501,501,502,649,649,502,649,503,501,503,282,502,500,214,649,649,649,502,500,500,800,503,549,501,502,501,500,502,500,502,500,501,502,282,16,649,649,98,649,282,800,500,2,649,41,296,501,346,998,282,649,502,502,503,800,800,649,800,282,922,965,502,649,502,173,501,501,649,649,501,500,500,501,159,800,404,415,282,502,811,800,500,500,282,502,502,503,502,503,502,503,282,500,649,800,649,503,501,503,211,282,503,504,649,649,649,649,501,500,503,424,649,122,800,705,502,502,282,503,501,503,502,649,498,500,800,504,503,800,502,16,500,558,503,800,501,502,500,501,282,502,800,502,800,502,800,282,649,503,500,649,103,503,282,998,502,501,649,503,503,282,504,585,503,503,649,500,282,363,800,502,800,649,649,649,503,800,282,502,807,800,500,649,282,503,503,504,800,477,282,762,501,623,503,16,977,282,501,500,501,649,501,502,502,851,282,777,800,503,800,800,502,503,501,16,282,800,500,503,240,500,502,503,103,882,649,501,502,502,800,800,120,282,504,501,503,500,649,419,502,565,800,800,502,500,107,705,502,500,503,649,800,503,503,501,800,503,282,500,800,501,501,800,649,800,649,501,502,1000,800,500,282,501,500,282,649,504,502,800,800,502,501,500,859,282,500,16,501,503,649,800,800,16,800,16,800,503,968,502,93,500,20,649,500,503,649,800,501,500,503,984,502,777,16,502,502,501,503,501,503,502,504,613,289,503,501,504,649,502,16,282,503,500,282,500,503,502,502,649,800,500,503,501,501,282,649,500,501,500,282,649,631,501,800,800,282,463,503,503,775,16,282,800,503,649,504,502,501,282,502,282,800,649,501,500,502,501,502,282,630,502,282,500,501,500,748,649,649,649,800,649,501,282,502,503,502,501,282,800,282,502,649,786,16,501,800,502,501,500,870,800,503,649,800,503,501,501,800,649,282,800,502,501,615,16,502,649,282,501,501,357,861,500,502,500,16,800,649,508,502,501,127,501,501,800,419,282,800,503,501,313,649,649,500,800,502,502,968,289,500,282,501,503,502,500,500,501,800,502,503,16,649,649,571,500,503,503,500,502,16,579,705,501,282,958,513,16,800,376,502,502,16,445,649,500,501,502,800,649,107,500,649,649,503,502,649,282,501,504,501,800,800,439,500,502,901,501,945,500,16,800,500,800,16,649,502,500,30,501,545,501,503,282,800,800,800,500,501,800,502,503,500,503,503,705,649,501,134,800,503,16,800,502,114,282,503,503,501,800,503,800,500,649,500,836,282,800,800,800,501,490,649,503,500,501,500,501,503,294,503,502,107,501,500,502,152,800,649,500,800,500,503,786,649,16,816,800,887,500,502,800,800,503,282,800,501,502,502,503,502,649,649,501,103,103,501,800,649,501,504,485,500,500,417,502,500,225,500,878,501,501,502,500,504,95,967,932,500,800,649,503,800,500,502,500,503,500,800,502,500,500,502,502,649,500,800,500,503,501,503,763,649,800,649,501,649,800,649,649,800,502,282,502,649,501,502,501,500,800,800,649,194,503,500,503,501,649,500,501,800,503,501,500,799,503,500,800,502,649,500,500,500,800,503,800,502,649,503,501,184,503,500,747,501,500,503,800,502,502,562,500,800,16,649,500,501,501,500,649,502,649,500,800,503,503,503,800,502,282,282,503,500,282,500,16,282,649,16,502,501,972,501,500,107,800,282,503,503,649,500,500,282,16,501,503,800,282,425,800,502,649,655,503,649,501,503,502,501,500,649,649,503,500,282,748,649,811,800,773,501,502,500,502,800,502,649,805,800,189,800,502,800,876,502,500,503,572,282,649,705,500,501,502,800,649,800,282,649,503,503,800,501,649,649,800,800,649,500,557,591,503,92,907,649,800,501,502,500,501,501,503,280,502,282,500,503,502,500,504,649,500,800,572,800,502,502,649,503,649,911,503,282,649,500,649,800,800,457,103,282,500,500,500,502,649,501,502,16,745,502,503,500,501,501,649,282,502,649,501,800,502,500,501,649,503,649,251,649,649,16,501,500,800,502,503,154,502,494,800,502,649,800,107,503,800,502,318,800,122,501,502,649,800,503,800,649,502,500,282,501,16,500,16,800,208,500,500,501,504,500,502,559,649,501,800,502,501,503,500,649,800,800,503,800,502,282,500,800,99,500,500,649,800,501,824,640,502,502,828,649,501,176,282,649,500,153,503,282,800,380,282,502,500,649,501,502,649,800,501,282,501,650,649,682,649,800,502,649,501,504,16,649,601,822,501,649,503,16,500,710,503,501,502,500,500,649,800,800,800,500,502,503,503,501,705,649,649,16,800,800,649,800,256,503,175,501,503,503,504,107,502,503,503,282,501,16,502,107,502,649,791,649,256,503,890,503,500,800,807,501,502,800,800,501,501,501,800,800,500,601,501,524,503,503,503,44,501,649,282,502,217,504,602,649,501,501,501,270,502,823,575,649,501,831,800,282,800,694,800,282,619,500,501,501,16,503,2,293,503,800,800,500,800,502,649,502,282,16,501,777,800,800,282,800,160,500,282,800,649,503,503,502,34,16,800,501,503,502,503,282,504,769,220,501,501,501,546,501,245,501,123,282,282,500,800,649,649,800,649,800,502,898,800,503,500,503,16,501,649,800,501,500,649,649,800,649,649,501,649,500,502,501,501,649,800,501,501,502,502,504,501,500,800,860,502,246,649,800,649,282,500,470,500,502,500,800,800,503,800,800,500,501,502,502,649,282,502,107,820,502,107,503,800,501,501,800,800,282,282,788,530,500,107,500,503,800,282,501,502,502,502,501,107,503,939,500,282,648,16,800,501,800,410,546,501,502,502,649,531,502,501,501,282,501,502,208,502,955,502,800,502,871,503,282,501,502,501,500,502,501,800,282,502,800,889,503,580,16,800,282,649,800,800,500,503,800,649,504,502,649,503,503,500,330,800,649,100,501,502,800,282,502,502,737,500,820,800,503,461,503,503,503,282,501,501,304,717,500,649,500,863,649,620,16,800,282,16,800,800,800,796,800,16,500,800,501,500,500,500,502,500,502,800,649,501,800,501,649,500,134,502,16,501,503,114,16,502,800,500,16,500,275,649,705,501,501,500,649,16,980,282,502,503,503,161,800,649,16,502,503,500,649,500,649,502,456,501,503,649,501,500,503,503,500,500,649,502,932,502,692,503,503,857,501,103,800,502,503,655,800,358,503,649,282,282,503,249,502,649,502,16,649,649,502,500,16,502,503,800,649,502,504,501,649,282,503,649,282,800,649,16,282,800,501,503,503,649,649,501,500,800,649,807,504,649,649,500,504,649,502,503,800,363,503,500,501,502,503,624,16,501,500,282,649,232,502,649,501,520,502,501,502,502,800,649,504,16,500,503,649,316,800,649,800,800,677,649,800,649,800,500,501,800,800,597,503,800,504,501,503,282,502,800,502,500,502,649,503,500,500,503,502,800,800,502,503,613,501,649,282,136,500,721,649,501,501,649,502,103,501,502,166,501,150,253,800,800,901,800,503,650,503,500,282,649,503,16,282,501,502,502,504,649,649,504,503,282,500,354,500,502,500,925,100,800,502,503,501,500,501,502,501,705,500,800,280,800,800,502,503,800,502,502,503,638,500,501,500,502,500,500,649,500,649,16,107,500,502,500,500,501,800,501,786,800,502,502,501,536,501,649,502,500,282,500,206,503,16,282,800,502,800,137,501,247,800,501,382,649,800,504,500,213,649,282,504,800,504,501,502,498,805,768,502,500,502,649,282,282,649,502,500,504,500,282,649,501,504,502,504,16,16,500,160,800,800,501,748,282,501,501,502,282,649,649,649,649,553,500,502,800,559,503,581,649,800,800,501,961,641,291,500,503,542,500,649,649,500,504,502,649,813,501,500,800,649,800,155,107,100,690,502,612,800,729,649,501,800,501,18,500,282,649,800,430,503,800,500,649,501,649,502,184,876,5,503,502,649,800,503,502,503,649,501,502,501,503,649,282,502,800,502,503,649,800,502,282,649,16,800,752,764,502,501,500,791,503,503,282,800,282,16,16,500,800,800,800,800,504,500,649,501,501,500,649,500,649,800,500,649,207,504,500,500,500,500,800,649,422,282,501,500,16,503,420,504,553,282,500,649,800,649,649,500,800,16,503,800,800,631,503,16,503,503,649,501,500,500,502,501,502,282,10,503,503,649,260,502,649,503,649,800,947,501,649,500,501,500,800,500,502,501,503,501,800,500,800,503,649,282,590,501,500,145,501,830,103,500,649,503,501,500,502,503,282,800,649,500,107,16,501,44,705,503,649,831,503,501,118,504,800,507,504,800,800,649,500,500,928,649,502,800,74,502,500,16,501,282,500,500,500,501,407,500,282,501,502,503,649,667,800,502,501,800,502,500,502,282,503,649,501,164,500,649,374,800,649,800,800,800,16,502,503,800,503,504,502,502,502,16,500,503,503,649,500,282,500,503,800,800,16,207,649,800,502,800,500,501,800,503,197,649,282,628,503,800,649,500,503,800,800,501,649,502,502,502,800,649,649,576,800,502,503,502,502,500,501,282,502,502,107,502,282,492,503,282,800,234,649,500,501,800,501,638,16,504,649,501,282,282,503,503,502,282,800,500,800,649,800,642,502,107,502,770,500,800,500,649,501,16,502,16,502,500,500,649,103,500,784,16,649,500,282,502,504,500,14,503,649,500,654,501,500,502,649,649,282,282,649,719,282,649,107,649,800,237,501,282,596,517,500,649,503,502,503,649,705,502,800,649,501,500,282,800,306,500,500,71,649,649,503,649,500,649,503,503,503,502,500,649,503,501,800,502,34,503,800,646,503,503,973,503,502,502,649,502,649,501,16,500,800,501,282,500,649,627,502,649,649,622,503,500,800,649,500,501,508,921,649,61,649,500,502,649,503,502,649,502,649,649,649,502,500,501,500,503,541,502,503,800,282,503,502,649,282,500,800,649,800,107,500,503,800,649,16,282,800,649,503,848,800,500,500,503,503,800,502,500,58,502,800,504,800,502,649,502,500,501,501,501,503,503,504,503,38,501,649,655,282,802,282,800,800,500,103,501,800,282,16,500,500,503,649,502,807,800,503,504,503,501,500,503,503,282,646,800,649,291,54,800,503,502,503,728,501,282,677,103,800,282,649,322,500,800,500,502,282,800,503,649,800,649,500,501,503,800,500,502,282,649,800,649,649,800,502,503,282,282,503,800,501,503,501,503,503,500,649,503,67,800,500,502,193,16,502,107,800,502,502,800,502,783,503,502,282,377,282,16,502,500,502,282,503,502,500,800,658,149,500,800,501,502,503,303,649,107,503,502,800,501,503,111,502,649,501,503,800,800,500,501,501,503,501,93,800,501,501,800,282,800,16,501,500,500,500,800,649,501,649,487,438,501,800,800,800,502,800,800,502,501,971,800,952,503,800,503,501,649,103,756,800,800,282,800,649,500,501,500,649,800,503,107,282,800,649,649,800,500,649,501,502,800,501,503,282,503,633,800,500,504,500,649,649,649,502,800,107,649,649,504,884,101,649,502,503,500,503,500,500,87,500,502,985,503,501,501,503,501,501,402,502,501,649,705,800,2,502,503,649,282,502,649,500,502,502,16,800,649,363,297,800,649,503,500,500,967,503,800,501,649,502,503,503,503,649,282,800,282,282,982,649,16,500,502,500,649,800,503,500,500,401,502,503,503,800,502,649,649,502,501,503,502,800,800,500,649,800,16,661,649,502,500,500,800,282,649,503,501,854,649,500,501,842,503,503,670,147,503,502,500,765,800,500,649,503,501,500,501,503,800,502,682,500,282,502,501,800,16,649,500,800,800,800,282,500,503,500,282,503,800,500,282,500,502,501,500,800,502,500,502,282,800,502,800,503,282,262,16,503,175,392,649,500,501,500,500,649,800,16,503,502,501,16,421,502,649,503,503,107,649,800,705,500,503,649,16,800,282,500,501,504,649,800,649,502,500,500,107,800,800,800,800,608,800,503,800,500,503,16,649,53,649,500,41,282,937,501,800,649,500,980,950,16,649,649,649,502,503,649,502,649,807,800,503,800,500,500,501,503,880,503,800,282,800,500,501,502,500,181,502,500,125,649,501,501,306,800,282,501,501,649,376,500,502,500,501,800,503,501,800,501,504,14,324,501,649,800,500,527,500,501,502,800,282,500,500,501,501,501,379,503,502,800,68,504,774,282,282,500,501,501,500,503,503,500,501,502,501,500,649,503,500,649,575,800,800,501,501,759,103,649,502,649,501,282,500,800,503,503,503,593,282,503,297,500,501,501,503,502,649,800,649,649,170,800,503,503,500,500,800,503,500,800,503,282,500,500,800,16,502,502,500,800,500,388,649,501,502,649,649,500,282,649,503,501,649,503,800,501,282,282,500,649,649,563,649,282,500,503,894,503,239,500,282,181,282,502,282,503,649,649,503,800,589,780,282,500,649,957,257,501,282,503,503,503,503,503,282,107,16,16,16,649,500,503,501,649,800,504,502,503,501,500,649,282,502,424,501,503,501,427,502,503,649,800,503,503,282,689,16,711,502,501,500,649,503,800,500,500,800,649,502,500,800,282,800,502,800,16,737,282,649,504,649,504,504,282,500,800,282,649,500,16,101,500,264,800,503,343,282,797,503,503,649,500,504,649,649,282,503,503,500,503,501,800,503,800,502,503,501,649,800,649,780,502,502,500,945,649,649,649,500,16,800,282,800,14,503,800,16,282,705,529,504,500,800,500,504,502,671,503,649,501,57,500,339,501,16,502,800,502,502,649,503,502,465,513,282,748,502,16,500,800,649,503,832,503,500,503,503,501,503,862,649,501,282,500,649,501,62,649,501,503,16,501,501,282,282,503,649,500,501,807,800,503,649,649,543,263,800,500,282,282,502,649,649,503,503,503,503,500,500,503,503,282,501,500,649,860,451,501,649,501,800,282,501,649,705,375,282,282,503,503,503,500,800,354,500,500,649,502,649,502,974,501,649,561,282,800,504,649,672,503,381,503,500,503,649,501,502,800,503,502,282,503,500,502,649,800,503,502,500,500,16,500,649,501,590,501,800,503,574,800,502,501,500,800,503,501,502,503,800,501,500,502,649,502,649,16,500,501,503,500,282,500,501,502,503,502,503,649,800,711,383,503,500,800,800,500,103,501,500,16,503,282,502,16,877,500,503,383,504,800,649,502,502,503,649,503,292,503,282,500,503,800,800,173,282,605,800,282,500,502,383,503,501,282,800,228,500,501,500,960,500,282,649,649,504,649,343,501,800,649,649,705,282,800,502,649,502,649,502,501,500,751,503,501,503,500,439,500,500,735,452,649,502,501,800,800,649,464,107,282,501,500,16,736,649,94,521,611,100,503,800,502,502,16,282,503,254,649,500,503,649,649,500,870,501,649,500,649,504,501,282,986,604,800,503,503,649,812,16,800,662,662,282,800,649,501,502,649,800,649,501,800,649,649,800,800,282,581,501,502,500,500,800,649,970,500,502,224,504,649,502,800,502,649,502,649,282,800,649,502,501,501,649,649,136,500,16,649,502,504,800,502,16,503,500,500,649,24,502,705,500,503,649,501,649,649,500,501,800,16,16,800,16,502,800,500,66,481,502,800,753,800,502,502,16,16,501,800,282,25,501,503,186,16,649,800,649,809,800,503,649,501,501,800,196,282,501,502,16,501,649,800,501,282,649,282,282,501,800,503,800,62,800,501,503,502,718,282,800,502,800,500,500,103,503,18,503,107,870,501,502,500,649,800,502,649,649,504,501,503,502,500,492,500,500,103,503,800,503,501,649,649,502,501,501,500,501,800,649,503,501,501,503,502,502,500,800,649,649,501,800,800,649,800,500,649,501,800,501,466,500,502,500,341,501,800,502,107,503,503,500,502,614,500,502,282,335,500,501,503,500,500,851,649,768,380,502,654,500,550,501,26,500,500,609,706,501,500,16,501,800,282,501,649,503,500,145,649,501,273,800,500,501,500,503,503,649,800,852,504,501,501,649,501,501,649,502,504,649,501,501,814,501,800,649,502,282,783,503,501,977,501,501,500,503,501,649,800,502,800,502,503,282,502,282,282,649,501,500,800,361,800,503,503,107,502,649,502,16,502,649,500,649,503,500,502,500,503,501,501,503,339,502,521,500,503,501,500,240,282,500,649,800,502,570,331,500,282,758,501,103,502,9,649,562,16,619,501,503,753,649,500,501,500,501,282,688,501,500,16,500,504,504,501,501,500,500,312,502,649,502,800,501,500,16,501,209,649,649,500,282,758,501,649,800,503,502,501,800,869,501,465,800,502,800,501,504,655,649,502,371,16,800,503,103,500,502,501,504,500,924,800,649,649,649,502,500,800,649,503,503,800,16,649,500,282,16,800,502,16,282,628,503,501,800,500,310,503,282,502,500,186,502,501,503,800,284,501,501,800,800,503,649,800,649,282,503,282,500,501,500,800,502,500,500,649,366,501,503,649,48,502,503,800,501,649,501,501,550,800,500,502,501,503,649,518,504,282,16,649,502,800,649,800,501,800,503,649,503,16,501,649,282,649,282,800,502,500,502,925,503,500,503,504,649,16,501,500,500,502,503,502,501,16,800,800,649,503,103,649,502,504,647,800,500,800,502,502,107,503,502,27,742,649,501,649,500,671,502,962,649,282,414,643,503,800,800,800,800,272,503,800,501,573,500,502,16,800,192,503,392,282,800,800,16,502,649,282,503,500,501,800,649,503,943,501,282,500,501,502,176,501,47,800,489,501,565,501,203,502,503,502,649,800,800,122,800,503,503,503,501,649,500,500,40,341,500,500,800,501,800,500,502,826,649,800,649,800,501,800,502,502,503,649,501,649,933,134,282,500,519,649,502,501,800,975,797,8,502,502,800,500,800,956,649,500,800,800,800,800,800,502,500,503,500,564,500,503,800,503,500,649,874,736,502,70,280,501,616,500,172,501,502,800,282,282,501,200,679,282,800,800,501,705,73,502,649,800,501,503,649,649,800,501,503,800,501,800,503,500,500,428,649,706,501,503,503,282,800,16,502,502,503,503,954,649,800,502,501,282,503,500,649,502,502,504,800,500,502,502,955,649,502,501,501,649,220,282,500,500,649,503,800,649,16,649,800,16,503,328,16,503,800,282,500,502,503,502,500,16,282,501,800,501,649,500,152,649,649,500,649,16,500,502,500,832,649,500,500,282,502,649,503,800,500,501,414,501,282,503,668,501,502,500,500,501,169,502,715,502,282,503,504,796,888,503,282,282,500,500,503,500,282,107,282,503,916,502,500,649,503,503,282,767,419,500,500,401,501,282,504,16,500,502,103,800,282,502,501,649,800,501,503,500,503,502,284,800,282,800,725,500,172,503,503,502,502,501,649,502,502,501,500,800,649,16,500,500,501,504,649,282,800,501,501,390,649,383,800,500,500,800,503,503,649,800,649,649,502,501,503,501,673,502,501,800,503,502,501,649,282,502,501,504,282,649,16,500,503,282,282,503,705,800,501,800,501,800,502,504,503,500,414,282,649,502,800,501,502,16,800,282,475,800,501,501,503,503,649,905,457,398,649,501,503,800,502,649,501,16,500,503,917,445,902,649,504,502,307,16,500,282,502,503,502,502,282,500,649,500,107,800,501,282,504,365,282,282,501,500,501,649,649,401,649,503,501,502,800,504,503,502,649,282,500,649,502,501,800,800,500,503,282,500,503,501,649,649,502,107,649,503,16,501,503,503,502,649,107,432,500,800,500,800,684,502,166,502,649,500,503,649,16,503,16,503,501,378,502,800,649,503,500,501,800,503,503,502,502,16,649,503,501,800,282,918,500,500,683,282,58,500,800,800,800,502,504,800,503,502,800,282,800,502,485,502,674,502,501,500,501,500,500,501,800,172,807,501,623,649,171,500,502,500,650,800,649,282,500,500,501,501,282,649,16,786,500,649,500,501,342,500,502,500,16,800,649,800,503,528,800,502,649,503,649,501,800,502,282,282,501,649,649,855,501,503,501,503,649,501,800,503,500,649,501,502,722,500,282,649,282,503,504,503,500,800,502,171,282,503,503,501,282,500,501,800,282,125,500,800,502,503,800,500,688,282,502,16,269,649,500,503,282,501,500,649,500,500,500,589,282,500,501,502,502,503,25,502,992,501,649,800,892,502,500,502,502,16,800,649,649,649,501,503,800,800,503,282,501,649,504,800,649,501,282,935,500,501,649,503,503,502,500,503,282,502,649,500,363,873,649,649,501,501,649,501,501,800,500,500,503,503,800,501,500,501,800,16,282,800,501,674,503,574,504,504,503,502,282,503,738,503,800,800,503,92,876,800,500,649,502,502,503,503,649,869,710,500,503,503,503,800,500,800,649,501,501,16,77,500,503,800,502,649,502,502,500,829,500,804,649,500,800,501,800,800,16,503,405,800,503,501,500,199,502,649,503,503,705,502,501,500,649,282,649,294,500,500,500,800,107,503,500,503,503,534,282,500,501,649,501,500,155,501,500,503,649,282,501,868,282,282,502,503,800,501,339,282,502,282,16,8,800,503,500,500,420,500,502,103,472,501,18,800,757,649,800,503,282,501,649,282,500,649,282,501,502,503,16,500,649,103,501,501,856,504,655,501,844,800,502,800,800,503,502,503,501,502,501,649,502,800,649,800,502,282,282,282,16,649,649,643,282,503,501,107,502,4,500,282,16,537,500,649,800,500,800,502,649,502,503,800,16,867,800,649,282,282,503,500,773,500,44,649,649,502,282,107,502,500,502,500,649,500,502,649,503,800,656,569,800,649,800,649,500,800,522,503,649,501,504,800,503,503,503,500,282,649,800,190,618,501,649,500,504,16,502,501,488,501,551,302,649,16,649,501,502,500,501,20,502,503,501,501,921,500,800,501,504,800,501,501,503,502,61,16,649,501,501,282,669,242,500,500,247,649,501,800,649,282,503,809,500,800,649,502,649,270,502,504,503,502,501,501,504,487,800,644,748,501,649,894,500,803,649,800,800,503,503,500,649,649,501,502,503,503,800,500,282,503,800,501,501,880,500,501,662,649,501,503,502,16,502,282,501,649,501,649,502,649,800,800,504,500,16,800,501,504,501,502,504,560,800,503,503,503,503,502,282,58,502,850,500,649,649,503,800,649,501,282,502,800,501,501,607,500,503,800,503,111,501,503,500,503,282,649,503,500,503,500,502,501,800,800,649,502,800,282,453,649,502,504,500,503,800,503,800,533,800,330,649,500,649,649,500,503,502,649,501,649,282,649,503,103,75,501,4,502,649,16,500,502,282,649,649,502,705,501,73,495,649,800,649,857,501,500,500,16,500,649,502,502,649,503,500,501,649,783,502,501,501,800,800,153,16,502,502,502,501,503,649,500,502,649,501,503,500,501,500,501,649,502,649,800,503,735,500,282,282,504,502,501,502,396,800,800,503,368,955,500,501,282,500,800,697,282,282,501,282,649,476,502,501,500,649,500,502,504,501,502,468,502,649,800,800,679,503,500,874,282,503,531,1,502,502,501,649,800,649,649,633,282,501,800,500,207,500,282,183,503,874,502,500,500,649,800,282,676,502,874,501,501,800,501,71,800,649,502,500,929,501,800,800,503,501,107,500,844,282,500,502,649,498,269,502,501,705,282,649,800,502,724,800,282,800,282,800,800,649,800,503,502,502,502,500,282,800,502,500,649,800,282,504,949,500,649,800,282,282,503,501,163,503,398,504,502,646,649,500,327,705,500,857,503,188,500,500,501,282,503,282,649,502,503,501,800,282,501,502,649,649,16,649,503,800,500,16,503,504,880,649,501,649,502,503,16,503,501,502,16,282,500,500,500,800,649,503,649,503,502,800,503,282,501,16,649,503,501,503,501,800,800,649,516,649,503,291,649,500,501,503,649,649,107,800,700,503,502,501,282,500,649,501,502,500,282,800,800,502,524,107,501,800,502,501,500,800,503,503,503,451,800,503,16,800,800,282,874,470,185,588,649,502,502,16,503,500,501,282,282,501,502,16,504,649,501,147,649,503,612,306,16,800,649,504,800,501,501,501,835,51,800,502,800,500,502,500,800,503,502,800,649,282,501,649,501,500,800,800,800,800,16,103,500,800,649,500,775,800,501,501,282,649,500,146,535,800,503,500,649,649,501,500,16,800,500,502,502,107,560,530,500,503,502,800,500,503,501,503,503,16,800,800,500,282,800,502,503,856,995,500,649,500,649,500,500,503,500,282,786,800,501,282,500,733,103,800,649,649,107,282,504,800,501,500,649,501,501,474,502,800,500,502,502,649,800,502,649,800,800,800,500,107,800,800,642,649,503,107,107,628,879,649,578,808,649,501,800,501,500,503,503,501,281,501,503,16,649,502,16,501,800,103,503,500,500,503,337,917,501,157,502,800,501,705,586,504,503,103,800,474,800,501,503,500,403,500,649,500,500,607,503,839,649,500,500,800,501,369,503,500,282,502,503,500,504,503,107,502,504,649,501,16,502,107,16,649,649,800,500,800,649,649,500,800,500,15,649,800,787,649,501,503,503,501,800,649,800,501,503,282,500,503,501,800,237,500,503,210,500,504,503,800,649,500,503,502,502,352,723,503,649,501,502,501,800,502,800,800,500,649,91,800,503,649,503,649,800,649,107,649,649,477,504,501,501,501,503,705,500,800,282,503,750,500,16,649,800,503,649,502,502,503,282,501,501,503,92,800,501,800,800,501,800,502,282,501,800,501,107,103,501,800,229,454,501,500,503,800,282,501,501,504,503,501,501,502,800,501,501,800,649,502,502,649,501,500,501,9,282,501,501,504,501,760,503,501,649,502,800,649,16,500,800,502,16,502,503,502,503,800,501,503,649,502,649,503,503,502,501,503,800,500,501,649,503,800,504,502,501,103,500,503,500,500,282,103,282,503,500,16,649,502,649,503,800,500,502,233,503,649,800,502,501,504,800,649,931,800,649,502,649,800,800,649,502,503,16,649,873,501,800,503,800,502,800,282,501,894,861,649,800,800,502,649,500,649,649,502,649,503,503,16,649,501,500,16,649,503,800,800,502,558,282,503,503,649,649,504,917,501,500,500,501,503,649,649,800,503,16,649,649,504,501,569,259,282,503,805,16,501,503,503,502,649,500,503,501,504,503,649,649,348,503,282,649,16,501,503,502,500,503,649,501,237,503,800,16,850,649,800,282,500,501,445,649,800,800,501,649,503,500,503,649,500,800,503,502,502,500,503,649,885,649,282,502,293,649,500,800,649,175,548,504,503,903,500,501,500,501,649,649,500,741,501,501,501,497,282,800,746,205,16,800,503,500,282,500,503,914,800,649,503,503,16,500,500,649,504,432,503,502,218,500,500,800,501,503,649,501,509,282,583,503,500,800,800,649,458,649,16,800,649,503,649,503,500,800,832,501,500,502,401,501,800,16,501,504,500,500,503,649,432,649,501,477,800,718,501,800,992,649,351,502,502,282,649,800,243,800,107,503,503,649,503,501,800,829,800,800,447,147,649,282,282,649,500,103,826,835,503,501,502,643,500,503,503,311,649,282,16,800,143,504,503,500,108,282,282,16,800,282,503,282,503,502,999,500,501,503,502,800,501,649,649,346,107,164,800,282,503,641,282,800,368,649,282,676,800,649,282,501,500,282,800,282,16,282,282,800,16,500,800,501,503,500,103,497,16,504,501,876,568,282,501,503,502,649,649,282,16,503,890,502,500,502,800,800,800,502,16,502,800,649,503,800,500,282,464,282,504,412,282,800,500,649,800,503,649,500,501,500,503,800,502,649,500,381,503,502,501,800,501,503,23,502,282,503,800,503,800,500,16,800,282,502,503,500,800,503,922,500,155,503,649,849,571,974,2,800,501,800,16,282,103,882,500,649,500,503,649,16,800,381,107,16,502,282,501,800,282,503,503,501,503,503,649,501,16,800,501,500,800,649,649,282,502,800,501,501,800,649,549,503,630,502,501,16,16,500,951,502,649,689,502,502,107,503,282,282,460,501,649,649,399,202,502,502,800,282,674,282,503,618,503,882,501,500,282,649,500,502,282,649,800,649,895,800,501,502,501,800,502,649,501,649,507,800,501,503,500,282,649,649,649,563,501,649,501,16,502,500,504,503,503,500,501,649,16,501,649,800,500,501,501,502,500,649,800,901,503,501,649,503,16,967,502,705,501,282,359,501,501,649,500,503,800,124,500,979,503,457,282,16,282,501,502,649,16,503,500,282,800,800,500,501,501,500,501,800,282,800,501,649,500,501,100,649,649,501,501,660,16,500,800,156,501,503,502,884,282,501,502,800,107,500,503,503,800,503,501,282,800,800,501,500,16,500,189,500,800,778,649,282,501,800,504,503,800,649,504,501,800,500,501,499,503,502,503,501,501,501,503,649,104,501,502,503,282,649,500,502,502,16,985,16,800,503,501,502,501,502,649,282,923,502,649,502,649,503,501,282,649,800,502,502,503,502,502,502,504,92,503,649,649,800,500,800,500,649,500,282,503,800,649,800,502,500,500,501,500,502,649,501,111,503,800,899,800,503,503,546,501,501,500,77,800,501,800,649,503,501,501,500,649,800,503,500,502,502,503,501,800,16,800,846,223,502,501,500,450,503,501,502,107,503,649,16,649,604,502,502,800,503,501,500,29,649,503,503,153,502,500,649,649,234,503,501,16,501,500,502,649,625,502,800,501,649,500,503,800,800,501,500,500,800,504,649,500,282,500,719,649,501,503,649,503,500,501,649,85,800,800,916,500,69,649,500,800,649,601,979,501,282,800,800,107,502,282,16,649,529,503,502,649,503,753,16,800,282,500,649,649,502,501,502,920,282,649,503,109,501,800,503,479,503,649,75,504,800,800,500,655,503,500,16,282,503,502,503,500,502,502,502,500,500,502,502,501,501,649,800,16,500,500,282,800,500,873,502,800,502,503,500,503,800,502,800,27,649,503,501,800,800,16,500,501,800,500,504,107,500,649,500,649,501,503,800,501,800,649,500,800,649,282,649,649,649,649,649,503,649,649,800,649,500,500,649,649,649,500,501,282,574,502,503,16,503,800,800,497,500,800,501,502,649,501,500,649,649,887,502,282,800,800,500,800,282,16,649,800,358,800,800,501,800,500,502,282,500,282,501,282,501,282,800,503,814,502,501,885,107,502,501,649,501,311,502,502,649,501,800,503,500,502,305,500,503,501,500,504,501,501,500,500,282,501,502,282,800,502,529,649,899,501,500,502,78,500,800,503,503,503,500,758,649,800,501,503,192,501,504,501,16,502,503,371,800,500,503,649,649,501,649,16,476,500,502,649,649,500,500,649,282,649,501,503,255,501,502,800,16,107,103,800,649,800,500,500,502,503,800,502,16,502,682,649,500,649,502,503,849,501,126,502,16,946,282,500,502,800,502,500,503,502,800,282,649,501,502,800,502,649,501,649,649,800,240,649,828,502,297,800,501,800,430,16,649,800,503,501,800,314,657,500,503,282,501,501,503,649,502,367,504,503,500,502,649,501,502,649,500,500,107,387,502,16,800,551,800,800,935,500,501,586,502,800,501,649,503,649,501,828,16,502,500,504,885,502,800,705,384,800,500,16,282,503,800,800,500,501,327,501,16,492,503,501,501,611,649,502,522,282,500,501,500,503,503,500,501,500,649,502,658,649,502,503,501,503,503,500,282,503,502,500,503,649,502,649,503,502,502,282,501,503,504,503,346,501,649,649,800,800,501,800,800,503,2,649,849,800,826,504,503,503,503,258,501,649,800,282,503,500,502,501,503,103,502,800,800,503,800,800,282,500,649,503,503,800,435,291,501,501,502,500,800,649,502,501,629,500,500,503,282,501,813,649,825,503,500,239,502,657,500,107,492,649,282,784,502,852,503,649,282,501,800,800,649,42,502,28,501,800,649,503,503,335,500,282,502,800,624,458,597,723,502,282,502,800,800,502,800,504,800,279,649,500,800,501,502,502,58,800,502,504,500,502,282,282,16,649,282,649,500,282,502,503,521,800,503,500,649,649,800,502,282,502,282,649,503,502,800,800,960,501,282,649,503,649,501,800,649,501,500,502,800,800,649,469,501,890,502,500,104,282,282,800,501,500,195,800,800,500,722,501,282,501,649,501,537,800,649,649,800,800,175,660,179,502,649,503,800,503,502,177,500,502,721,649,502,649,649,649,560,800,282,503,502,675,500,16,255,649,800,502,932,928,649,613,503,282,502,502,649,503,649,649,16,649,503,500,649,503,500,502,800,502,503,500,501,649,800,502,500,800,503,502,800,91,800,500,16,503,649,503,502,800,502,173,502,282,171,793,501,503,501,449,502,503,501,500,503,16,282,501,502,649,800,501,991,251,649,282,16,282,500,502,776,595,649,800,502,500,503,500,501,282,649,657,502,503,503,501,649,501,800,500,502,282,501,503,502,649,503,501,502,163,500,501,800,503,292,501,502,800,500,800,500,800,502,649,500,649,546,846,501,501,16,282,502,501,500,800,500,800,503,429,796,107,800,502,501,282,500,800,503,500,502,501,501,244,501,504,501,500,500,501,503,282,282,917,502,800,502,502,503,501,282,837,859,500,282,800,282,800,500,649,800,79,502,500,649,16,503,800,500,502,500,503,297,800,16,500,781,800,501,500,503,503,500,502,500,323,502,503,502,500,500,546,500,649,649,800,503,623,503,649,800,500,467,501,800,16,107,800,501,501,800,312,283,649,800,282,649,16,502,504,502,122,500,800,800,649,760,501,586,324,503,500,502,282,500,500,282,282,500,501,800,85,800,228,800,503,501,501,649,502,930,503,503,503,502,649,503,649,503,649,800,502,16,501,649,800,800,800,649,800,502,502,649,282,500,500,500,282,503,649,743,502,501,649,503,649,501,193,800,800,335,503,800,501,800,502,282,16,649,504,500,858,649,649,502,16,500,500,503,322,503,501,649,649,649,502,800,503,649,501,503,705,501,501,649,649,502,649,800,500,800,500,501,502,502,649,502,282,503,800,800,503,649,282,501,282,503,282,649,500,649,500,502,503,649,501,800,502,503,501,503,807,501,501,502,500,502,502,503,1,244,502,500,16,282,501,500,649,649,649,649,503,16,16,502,649,503,500,107,503,502,501,175,502,503,500,502,502,581,503,502,500,649,501,649,501,732,649,107,500,500,16,103,500,800,282,503,649,502,500,503,707,503,501,501,16,649,282,503,649,800,500,649,334,501,500,800,503,649,501,800,502,649,282,800,649,502,649,723,107,800,502,800,282,503,502,800,649,112,500,501,800,649,502,503,209,649,502,503,502,649,282,503,362,800,502,466,503,500,502,504,649,502,282,649,502,947,486,502,649,649,800,501,501,758,800,460,501,502,502,649,103,282,282,282,503,107,500,649,501,500,501,800,808,504,433,282,118,500,502,501,504,504,500,800,502,501,7,649,500,649,501,800,502,16,705,800,282,500,324,649,800,501,502,16,389,800,500,503,500,501,503,503,502,800,649,363,502,501,6,800,503,649,502,649,807,611,739,500,485,649,966,503,705,649,103,502,502,502,649,500,503,66,503,503,649,503,503,800,800,800,282,500,500,502,800,649,503,397,500,502,868,503,501,800,503,500,800,501,913,502,96,800,800,501,337,16,282,770,649,649,800,800,649,503,882,501,502,503,502,502,503,282,800,649,503,500,502,649,368,649,649,649,800,844,463,298,500,649,503,502,500,16,501,452,503,500,282,649,800,500,649,501,504,502,548,501,501,282,503,16,800,649,503,800,7,501,500,800,371,500,500,501,501,800,501,502,282,500,800,698,649,16,500,503,503,936,282,282,107,502,500,358,503,649,16,649,649,502,649,503,502,502,503,502,502,501,649,500,576,16,501,502,502,649,500,500,504,103,503,501,500,800,500,502,502,503,756,238,800,503,649,302,649,800,800,416,500,501,649,800,649,500,503,16,501,800,342,503,501,503,500,248,649,16,649,500,500,649,649,500,187,502,800,504,502,911,500,502,500,500,500,501,501,500,895,690,800,487,502,107,501,360,800,16,500,502,800,503,502,502,800,800,502,502,503,107,482,555,501,800,503,800,502,503,503,500,501,649,501,503,649,502,503,912,800,95,800,502,800,501,502,282,775,282,800,817,214,10,649,503,800,800,501,779,731,503,503,770,800,186,502,800,502,500,649,800,800,649,500,501,501,503,500,502,502,107,501,800,800,800,155,103,649,501,774,649,800,649,502,504,501,649,800,503,649,282,503,503,503,800,503,503,649,702,500,500,800,500,649,500,755,649,800,800,107,503,800,501,501,501,502,800,800,500,501,503,282,501,501,501,649,649,500,649,941,218,16,282,911,800,800,501,503,800,503,800,502,500,500,800,649,649,705,500,649,649,16,500,502,500,500,502,836,501,649,503,502,500,502,500,800,649,502,103,649,500,503,649,500,500,500,282,503,503,16,502,282,282,500,500,282,501,504,649,464,501,502,502,544,649,500,502,16,500,649,800,502,800,613,649,649,500,762,501,503,501,246,800,500,503,649,503,800,501,500,16,165,649,800,502,503,282,501,503,282,502,816,501,800,473,503,503,500,501,161,282,502,800,503,649,503,501,476,500,649,502,282,500,502,282,800,503,501,500,502,501,504,282,501,503,500,649,800,501,800,501,196,502,502,800,649,502,480,500,800,503,500,649,350,500,800,282,800,500,501,282,649,503,649,504,649,16,501,907,500,16,502,500,502,16,374,503,649,16,282,800,501,500,800,649,585,649,500,807,500,207,649,503,800,800,500,503,502,800,503,500,503,16,500,503,500,503,500,16,800,649,502,503,282,800,800,282,502,800,16,16,107,649,516,502,500,503,502,503,103,500,502,500,501,501,955,649,503,504,501,503,500,501,502,504,230,501,500,649,800,800,649,202,649,503,282,800,501,503,539,276,500,282,16,800,649,112,649,800,500,500,649,845,501,16,800,503,500,501,282,324,800,16,103,519,800,501,800,800,501,167,800,649,502,500,503,503,649,936,502,503,500,502,502,504,800,601,800,282,503,503,500,315,217,800,282,621,282,16,649,649,800,649,503,503,649,500,649,501,502,800,500,942,500,500,800,282,501,800,649,500,282,503,500,503,501,501,800,16,800,282,800,692,502,500,928,649,500,503,502,777,649,990,649,800,282,500,800,500,103,800,501,503,500,502,502,500,502,75,649,503,282,501,503,501,800,649,502,502,282,502,800,331,989,649,951,500,800,548,503,501,800,800,800,500,502,502,502,495,500,723,501,649,501,502,502,503,501,282,502,501,800,500,503,649,502,500,503,776,649,996,282,502,107,500,501,501,649,501,503,503,282,282,502,800,800,502,649,649,503,502,800,282,500,503,282,500,503,501,16,501,503,502,134,282,501,500,800,712,501,649,800,501,800,649,800,500,743,503,503,503,800,439,500,501,649,800,800,649,500,649,501,500,473,503,672,501,500,800,501,457,501,502,538,282,800,503,500,800,501,503,502,800,500,502,705,500,232,800,503,503,198,649,503,649,282,501,649,502,649,107,502,960,649,103,502,16,649,800,502,503,602,503,500,501,501,649,649,502,518,503,500,501,502,649,705,500,800,800,501,282,502,500,16,88,800,937,500,282,103,503,800,501,282,365,502,800,502,491,437,626,503,282,282,502,800,800,503,705,501,16,282,500,501,649,504,503,500,501,500,500,609,502,504,502,501,282,59,503,503,649,502,800,501,501,501,500,800,466,749,82,502,503,418,649,649,800,649,505,503,649,501,649,501,282,502,501,649,649,107,501,581,503,649,501,800,649,282,16,800,376,800,500,502,649,504,649,649,361,649,501,115,800,649,501,3,500,107,800,501,503,502,502,502,282,649,800,74,504,575,800,649,800,604,282,503,503,107,503,302,800,846,501,503,500,500,241,893,649,800,800,649,282,502,679,502,501,501,502,500,800,503,16,501,503,282,501,16,501,503,800,503,693,16,800,503,501,649,649,282,425,800,649,282,282,502,503,649,501,502,501,500,501,649,145,500,800,800,502,500,504,649,502,800,347,282,922,501,504,649,203,649,64,502,503,500,500,800,107,16,84,503,800,800,502,220,93,500,502,800,800,282,502,501,242,800,502,503,282,649,500,502,800,646,502,503,16,500,649,502,503,800,649,800,282,358,501,502,503,683,800,934,500,500,16,504,800,282,453,503,128,282,282,502,800,503,503,503,503,500,502,649,500,40,502,351,800,502,649,905,800,503,502,503,800,501,500,649,502,649,501,503,502,649,872,501,500,500,823,649,503,282,500,800,503,800,282,503,649,502,649,649,500,282,800,180,502,500,501,16,502,800,503,197,500,503,58,800,504,800,502,504,501,107,500,504,649,503,151,643,503,280,649,649,800,800,16,886,503,503,503,502,800,800,503,501,503,649,301,282,500,800,503,800,501,502,500,503,502,282,501,282,501,649,501,503,501,649,649,502,282,649,886,827,503,501,500,502,500,282,649,269,800,16,500,503,500,502,16,800,502,502,501,503,500,800,503,649,500,800,503,500,503,501,228,649,16,800,649,649,800,500,501,502,800,16,503,800,500,991,282,502,500,649,500,502,800,501,503,800,649,503,502,501,501,800,649,501,640,500,649,502,501,16,502,85,649,500,503,800,501,503,504,504,501,649,504,538,503,503,571,803,504,649,501,502,16,339,658,983,501,503,503,503,649,800,153,501,16,502,800,800,341,649,16,800,500,649,16,500,3,282,501,282,800,649,16,503,502,770,502,649,649,503,282,500,502,16,800,800,107,649,502,502,566,501,800,501,501,16,501,502,502,16,179,501,282,800,239,16,649,702,800,501,392,502,503,503,502,649,80,466,504,501,16,117,502,453,16,500,649,800,107,500,503,649,500,282,502,800,282,503,384,503,649,501,500,800,502,800,800,503,649,503,501,16,501,649,501,649,800,502,107,502,502,503,502,501,503,503,503,502,649,502,503,251,800,196,503,503,501,503,282,501,500,800,282,500,649,16,502,501,800,649,500,431,886,503,502,502,554,500,800,649,649,282,800,800,649,649,356,502,503,615,503,649,649,501,16,446,800,800,502,500,502,800,500,781,649,800,503,503,502,503,501,649,503,501,500,503,887,502,500,800,503,503,800,500,502,501,502,501,503,502,282,623,800,503,501,501,800,800,649,503,649,800,501,222,649,800,502,649,800,649,501,501,800,79,503,649,500,503,16,287,500,503,800,500,834,504,501,501,500,107,502,503,476,649,16,16,649,500,500,501,800,498,501,502,987,500,800,500,800,649,502,501,500,649,282,504,800,649,502,800,502,800,503,502,502,503,800,649,16,800,503,502,503,649,503,800,503,836,800,649,649,503,338,500,649,807,800,800,800,16,649,800,500,649,282,649,649,500,520,503,500,649,800,800,906,502,800,500,545,502,500,649,503,502,282,501,501,501,500,303,649,566,502,800,503,940,500,502,833,800,502,502,501,282,282,501,649,74,501,500,501,800,501,502,502,500,649,503,107,503,503,501,16,527,107,474,501,925,282,503,500,133,677,800,16,502,502,500,16,649,500,649,504,649,502,503,501,501,500,503,800,282,282,119,500,649,501,501,502,500,800,502,800,500,500,649,649,800,500,501,282,500,800,502,282,501,16,436,282,800,649,649,800,502,500,502,444,502,800,503,500,649,500,800,800,282,800,500,800,282,282,502,800,16,282,501,649,501,800,500,572,282,453,649,649,500,16,201,503,502,500,649,500,500,649,282,504,502,800,503,502,651,800,210,503,649,368,282,649,800,501,16,503,16,500,588,282,500,502,282,504,503,502,500,800,502,503,485,22,502,503,649,649,502,800,503,504,501,649,503,502,649,787,500,649,800,501,502,500,464,800,649,282,500,3,500,500,503,500,501,823,892,502,502,800,501,107,649,786,503,502,800,502,500,945,293,503,800,800,502,800,649,504,800,103,800,649,500,649,503,502,282,502,503,58,502,282,282,800,500,107,500,502,649,502,649,500,649,3,501,282,282,503,649,282,103,504,501,715,649,649,502,282,501,503,649,500,649,501,649,800,501,501,649,501,649,501,705,501,502,836,501,107,503,282,800,503,16,502,500,16,503,503,800,500,282,500,500,502,500,994,800,800,348,500,245,528,500,826,500,649,503,282,800,800,16,491,500,502,800,503,502,501,502,282,502,282,502,16,503,800,500,282,933,282,16,503,500,500,501,503,282,503,998,800,800,16,800,44,552,649,503,501,815,501,501,500,501,503,16,422,503,502,501,503,649,502,800,800,371,282,649,894,282,500,66,503,503,800,500,503,649,503,502,500,800,649,282,649,107,500,649,507,502,500,502,503,680,502,800,800,107,649,500,503,503,282,500,800,500,800,504,103,501,282,503,502,500,103,800,501,503,649,501,649,500,500,502,16,503,800,649,501,501,649,501,800,503,503,282,502,502,800,503,800,800,502,502,500,649,502,649,502,501,504,282,502,76,503,501,649,501,501,503,282,502,502,500,800,501,800,16,503,502,649,942,501,411,502,503,649,16,502,649,500,500,503,501,501,502,500,500,800,649,282,502,74,500,503,282,649,649,503,800,282,503,800,500,500,800,503,649,282,501,502,503,501,649,500,649,502,800,502,501,649,282,503,502,800,500,282,501,140,282,800,501,501,501,734,16,500,31,800,800,800,502,441,800,649,503,107,500,649,503,504,500,16,443,501,504,282,761,107,282,649,800,282,282,800,800,500,649,649,502,282,800,500,789,646,504,800,502,503,649,806,503,649,500,346,649,500,501,649,502,800,800,500,282,800,965,500,16,503,502,800,500,503,501,800,500,500,502,503,503,282,503,503,501,649,272,500,502,649,500,800,504,500,649,501,500,716,800,503,800,501,502,502,502,282,282,735,500,501,985,500,800,603,502,800,649,501,800,282,800,97,500,649,503,501,502,649,800,504,649,501,501,869,16,282,282,502,503,503,282,501,101,800,500,503,800,502,800,649,503,503,310,500,800,649,501,800,800,501,500,800,502,649,282,502,800,502,501,503,503,16,649,649,501,501,69,282,501,800,501,800,332,191,870,282,800,502,800,501,500,649,282,500,800,501,502,503,800,503,502,501,501,800,501,558,500,649,503,102,649,502,503,500,649,649,649,16,503,501,288,649,282,800,649,649,800,500,502,649,503,500,649,503,16,16,500,800,501,503,500,502,501,649,649,282,503,555,800,501,649,649,649,501,502,503,500,993,502,503,67,649,501,649,107,800,282,282,390,325,800,501,800,501,502,800,800,908,800,649,649,503,503,668,16,324,860,368,502,760,502,701,502,885,107,649,29,800,501,179,649,800,501,710,107,154,800,501,503,504,800,501,649,502,649,649,500,800,807,503,501,649,282,649,107,501,501,800,571,500,282,502,282,575,304,649,502,159,800,501,503,502,893,503,502,282,863,16,649,115,796,800,107,129,500,281,501,502,800,649,38,500,282,800,649,800,502,282,503,503,800,500,649,800,502,649,500,503,260,103,500,800,649,503,800,649,501,800,501,503,649,16,800,800,649,501,282,316,500,649,649,502,502,808,503,900,976,502,800,500,501,800,503,282,500,649,649,504,502,503,500,500,16,502,649,179,502,649,800,794,282,502,503,282,800,649,502,282,503,503,502,500,800,800,483,649,500,503,501,800,649,503,500,649,281,800,501,503,800,502,503,788,800,503,16,127,282,800,500,500,502,800,502,500,649,501,649,282,649,649,282,225,503,16,501,107,501,502,501,501,87,503,501,503,839,503,649,501,964,501,500,501,336,502,502,503,399,500,503,649,282,800,500,501,800,500,800,500,502,501,500,503,501,502,649,502,800,500,786,800,503,800,800,501,581,220,500,501,649,800,500,800,649,800,503,517,502,800,500,282,649,500,500,649,800,736,501,503,800,210,800,501,649,763,503,502,649,649,502,512,107,282,503,501,800,500,282,16,502,500,649,800,501,800,504,502,501,405,649,468,329,504,500,800,800,48,334,502,649,88,502,800,500,447,503,500,494,503,649,282,800,500,800,500,503,800,501,500,282,253,800,649,500,800,478,282,282,503,16,16,800,649,649,503,502,502,800,500,501,252,800,282,649,503,500,500,800,282,501,649,649,500,501,800,502,500,504,500,649,500,503,649,800,500,501,502,500,502,502,649,503,649,502,800,501,800,500,649,503,336,503,500,501,36,649,282,649,503,282,503,501,501,503,503,649,649,503,282,500,502,503,16,501,502,800,503,501,649,500,81,282,649,502,501,502,503,501,800,501,649,504,290,282,501,501,282,649,503,501,800,649,800,503,502,800,865,503,500,107,649,503,705,649,500,649,969,502,282,282,800,185,649,501,502,726,502,502,503,649,502,282,649,503,501,649,502,498,898,500,501,503,500,502,502,501,107,282,503,500,800,649,501,503,501,503,502,282,501,800,800,500,800,501,282,649,503,502,503,502,734,503,282,649,282,282,503,502,500,649,504,502,244,503,588,800,649,502,16,736,503,502,500,501,503,649,502,341,502,282,16,502,168,501,501,500,800,800,500,649,503,502,500,503,500,365,16,800,649,282,952,502,502,800,500,413,800,500,502,443,502,503,503,561,282,649,800,500,502,649,501,503,503,500,500,502,359,649,503,503,503,501,282,500,500,501,282,594,705,501,500,500,800,282,500,282,503,500,501,500,976,649,503,500,107,502,800,503,369,503,501,500,503,503,800,503,502,500,624,754,500,502,800,649,501,501,16,500,501,503,800,282,501,800,160,501,649,800,501,649,502,513,502,501,502,501,522,500,501,500,282,501,800,649,800,800,500,502,107,16,800,493,800,800,649,800,501,649,740,502,501,649,503,649,800,800,800,502,500,800,501,501,503,800,825,504,800,502,500,800,501,16,807,649,501,800,16,502,502,527,502,800,502,501,502,68,501,282,282,500,503,502,500,502,502,16,937,503,282,503,16,501,800,649,501,649,649,649,457,649,649,500,502,800,800,502,800,501,282,282,649,557,426,501,502,325,649,501,502,503,502,500,604,500,503,502,503,502,649,440,503,282,649,502,649,649,21,107,282,16,502,503,800,503,501,503,649,800,503,504,500,282,503,282,16,800,503,501,500,503,503,501,501,500,800,500,501,501,500,503,649,800,800,502,501,282,800,501,503,502,649,282,282,501,800,107,800,500,282,889,503,500,501,800,501,503,800,800,503,502,282,800,503,282,800,282,800,282,800,503,500,800,800,189,502,164,730,388,501,502,649,503,503,649,800,800,502,425,500,503,500,502,103,501,502,16,800,502,800,500,649,503,502,282,501,800,607,501,501,282,78,16,503,501,505,503,500,501,500,800,16,800,501,501,501,503,502,649,649,501,502,502,500,503,317,502,502,800,503,500,500,282,502,501,502,800,500,503,502,501,800,486,502,282,590,500,501,501,503,649,502,800,391,800,501,851,502,500,282,16,649,282,503,500,500,649,500,282,282,501,503,344,800,159,500,502,649,503,500,500,915,800,502,282,503,503,503,81,800,649,503,649,502,502,687,503,501,503,503,282,800,649,503,502,504,500,649,500,16,800,609,501,282,800,500,503,503,367,649,502,501,649,500,502,502,500,800,500,649,502,282,800,501,649,503,568,649,379,742,282,103,501,500,891,800,501,501,501,500,502,503,500,800,502,16,501,649,500,502,500,800,503,500,502,823,282,800,282,649,501,800,500,502,445,503,800,800,282,501,282,502,502,502,502,593,500,649,282,800,502,649,502,500,811,261,503,500,107,505,500,649,282,50,503,675,191,282,500,500,360,649,501,500,500,503,500,503,800,503,649,502,500,649,649,16,282,649,800,714,649,800,501,800,800,800,502,503,503,649,501,504,649,649,500,282,282,800,502,502,501,503,800,504,800,282,800,800,417,755,18,649,282,503,502,502,649,500,502,207,502,503,500,222,500,649,501,501,282,16,649,649,282,503,502,501,649,503,282,649,501,107,800,501,503,800,282,502,500,800,502,500,23,491,501,503,501,502,649,503,100,129,282,840,649,649,500,503,800,503,963,282,500,502,553,649,502,503,657,501,501,501,800,500,800,500,503,649,16,282,649,503,649,800,800,503,500,282,503,800,501,649,501,649,649,501,649,99,501,282,16,800,500,800,649,504,504,502,501,502,503,502,503,501,649,502,16,503,501,16,649,649,503,656,649,501,800,502,500,282,500,649,503,129,800,800,501,800,800,502,800,500,502,500,139,501,422,501,501,501,800,649,503,502,41,100,500,501,501,500,800,19,500,649,710,501,282,16,16,502,800,501,501,800,91,502,800,44,501,800,501,503,501,282,500,502,502,501,649,502,500,649,510,800,866,500,997,501,282,649,502,500,501,800,649,503,502,501,649,807,503,500,773,107,800,406,501,16,500,502,807,282,502,503,501,800,800,236,282,502,501,502,502,373,649,705,502,800,500,800,501,501,800,501,500,649,800,502,502,801,800,501,494,800,649,501,785,705,500,500,500,190,503,503,649,649,282,282,649,503,503,500,335,800,649,503,16,649,500,209,649,800,500,500,649,904,502,501,800,502,500,65,501,800,401,501,503,649,500,282,500,282,649,649,503,649,515,502,500,477,800,282,500,398,16,800,649,502,641,501,649,501,649,467,476,503,551,578,800,732,649,800,696,500,649,504,500,500,297,504,502,501,502,503,800,912,503,282,500,16,503,649,451,304,501,800,503,460,503,503,649,500,477,649,502,500,501,668,503,282,501,649,501,282,503,282,800,800,504,500,649,649,649,649,107,282,501,500,649,502,649,16,500,502,500,502,264,500,107,800,649,800,282,800,951,502,501,419,800,103,503,800,501,800,649,500,800,504,282,501,800,800,500,501,16,16,501,501,800,287,502,649,649,500,800,649,649,501,649,800,501,282,16,800,501,649,649,433,503,500,649,502,502,500,282,800,503,282,282,14,500,501,501,282,502,503,800,500,649,107,312,502,501,503,698,330,800,800,800,504,502,502,649,501,500,649,503,282,503,800,800,16,282,501,806,500,500,501,800,500,800,649,501,501,504,503,800,500,800,501,774,800,16,500,800,503,500,800,503,503,500,503,503,282,503,502,649,502,604,501,483,282,501,800,107,326,48,500,282,103,107,502,136,502,503,210,502,501,495,16,703,800,503,501,503,282,249,501,503,500,107,502,800,800,800,405,502,649,503,500,649,800,800,503,500,503,502,501,502,800,501,502,501,503,503,800,501,500,282,872,800,501,800,502,501,16,500,541,396,649,503,917,503,800,649,502,501,501,103,503,502,968,800,502,500,800,649,503,500,503,504,649,503,649,502,501,503,503,953,649,502,282,800,500,649,16,649,800,592,534,649,800,800,649,503,504,248,800,800,502,717,566,282,509,503,502,502,649,500,842,501,233,138,155,504,503,500,800,649,282,649,503,500,500,500,500,501,16,800,502,500,649,649,800,503,500,500,500,503,500,500,501,500,649,503,500,500,282,800,503,800,16,649,503,282,501,800,649,500,649,501,501,501,882,503,500,501,502,501,503,502,502,502,501,16,16,674,502,502,655,16,501,500,500,501,282,503,364,500,502,282,358,649,649,502,500,500,502,800,503,107,501,501,502,502,503,601,500,500,500,800,204,649,649,502,399,282,503,500,502,503,649,282,502,661,701,800,500,502,503,500,800,500,705,501,626,502,503,503,800,800,501,503,282,16,503,649,500,282,503,502,501,500,649,282,503,501,503,800,533,649,282,649,500,649,631,649,502,687,282,501,501,800,502,417,649,614,408,800,500,502,282,502,502,120,500,376,282,649,502,503,501,16,502,502,502,502,187,282,800,500,649,800,710,649,649,501,500,100,501,800,11,503,800,649,16,503,800,741,800,800,500,500,282,649,800,502,503,282,502,501,649,501,503,503,629,800,500,649,649,649,503,800,501,791,43,649,649,649,282,282,800,800,501,500,177,501,282,649,502,16,282,401,16,800,502,501,501,500,649,502,800,502,800,901,501,500,649,839,502,800,649,649,800,486,502,500,503,501,807,800,501,501,800,503,649,503,500,501,502,503,800,503,503,503,501,848,800,504,502,501,800,16,649,282,500,500,649,503,702,800,501,800,229,502,500,501,503,482,500,282,16,800,649,500,501,16,500,502,501,504,800,503,502,501,503,503,501,503,891,502,649,282,351,282,282,500,501,800,503,501,501,501,389,282,503,501,501,502,800,800,649,649,16,878,649,282,500,462,500,500,500,503,282,501,501,500,649,355,649,500,500,500,16,500,649,107,500,502,503,502,344,501,502,501,502,742,306,502,649,503,649,503,16,712,501,282,477,500,800,282,502,282,503,649,300,502,503,502,800,800,537,503,504,504,503,800,502,800,282,501,500,502,503,500,107,16,800,501,500,501,503,649,503,502,283,800,500,800,501,282,503,501,500,500,502,500,800,649,800,503,800,502,503,500,282,16,649,501,501,581,500,500,502,602,500,800,500,502,502,282,282,503,103,502,501,16,503,501,502,800,800,500,502,59,504,95,800,502,649,503,282,282,16,501,282,138,503,56,16,649,501,649,649,501,800,501,502,800,503,502,649,103,800,504,241,649,500,649,503,649,700,800,500,500,107,800,501,502,503,501,445,633,107,500,500,649,268,800,502,649,503,141,800,759,501,235,755,503,503,501,503,503,450,503,503,800,800,500,649,521,500,649,800,16,578,501,800,503,503,800,503,500,649,500,649,103,800,40,504,800,282,502,800,502,500,800,967,344,451,502,282,800,500,502,800,282,503,649,502,502,501,912,649,500,800,503,503,800,800,501,649,500,800,282,800,500,282,800,503,501,800,649,502,501,501,649,500,502,800,503,800,502,974,503,501,503,501,500,500,649,306,503,126,501,800,452,503,282,502,500,800,282,830,501,503,501,800,39,615,649,501,503,58,502,282,932,503,500,82,800,500,16,800,500,800,649,800,258,649,282,502,649,282,282,16,107,800,502,559,469,500,500,503,502,503,800,282,501,800,504,503,649,649,282,502,103,241,504,500,502,501,282,500,501,649,500,16,16,800,649,501,800,800,503,916,828,501,500,501,503,500,500,501,282,501,500,868,800,502,500,501,501,649,980,800,502,500,800,649,503,501,800,501,501,504,800,185,649,502,500,800,704,501,502,503,500,282,503,800,800,501,800,245,649,800,500,814,235,649,800,649,502,502,503,501,503,649,282,282,502,139,501,503,500,800,503,502,16,282,502,106,500,800,800,800,649,800,133,502,282,649,221,649,501,649,501,115,16,107,503,282,103,367,500,649,649,501,724,16,653,503,241,16,46,500,500,503,282,800,649,503,800,501,503,800,502,500,500,717,501,16,500,500,502,800,463,501,503,282,500,504,500,800,649,501,503,800,502,800,16,963,501,504,800,500,947,503,501,800,504,800,501,649,501,502,800,282,500,503,282,649,502,503,649,642,503,500,649,502,502,170,243,502,504,800,738,282,800,502,649,501,501,649,500,649,649,649,282,800,800,649,504,502,503,501,504,502,282,649,282,503,16,649,503,103,501,344,503,800,16,504,502,501,649,16,800,800,115,501,501,649,649,501,500,502,500,503,501,500,282,501,502,800,502,16,500,800,649,502,500,501,501,800,503,800,16,571,501,502,800,800,649,503,501,800,502,800,16,500,800,501,501,503,800,800,282,502,503,16,649,822,500,501,500,282,32,503,692,649,179,501,16,501,502,16,503,500,282,649,649,378,502,317,501,502,500,501,649,500,16,503,500,47,504,502,11,501,503,800,502,500,503,405,423,502,282,649,503,502,649,500,501,502,502,502,282,800,501,500,837,16,649,649,502,502,649,501,107,503,971,500,649,282,978,800,500,800,500,649,649,800,209,501,107,339,501,502,503,800,502,308,649,500,500,503,498,282,16,500,503,503,500,649,500,502,43,503,649,614,502,626,502,649,800,800,649,282,501,282,198,503,800,502,649,282,282,502,749,500,500,16,282,649,500,502,501,282,223,957,502,500,502,500,502,800,500,500,500,501,503,482,190,503,800,502,266,16,800,649,652,500,500,502,282,282,982,800,800,649,503,501,501,649,800,501,800,282,649,503,800,501,800,282,500,649,502,282,501,502,500,503,16,502,280,649,502,502,501,501,649,502,649,800,500,800,500,504,800,500,503,502,800,503,649,540,16,800,649,649,282,503,649,502,16,501,504,800,501,282,649,500,503,800,649,26,800,649,282,934,586,503,502,501,929,502,504,502,328,800,501,649,649,800,800,501,502,503,503,16,800,500,282,282,501,649,800,500,500,501,649,501,282,501,649,503,500,503,501,501,500,649,503,503,503,500,502,503,501,478,16,649,504,103,500,800,502,16,649,530,501,502,501,500,501,626,500,282,501,501,502,501,649,502,282,720,502,800,503,502,503,331,503,500,16,649,282,500,649,501,500,649,502,705,282,800,877,500,800,501,648,800,500,504,800,500,103,503,504,649,649,31,800,501,649,501,800,649,800,503,107,502,800,501,500,649,333,282,800,800,502,303,502,800,502,282,503,502,95,502,52,16,800,800,804,649,16,501,503,103,501,423,502,500,791,502,282,501,800,503,16,649,781,769,649,489,989,500,669,282,500,502,800,502,502,501,800,326,800,501,503,859,502,107,16,282,502,501,800,800,282,649,503,502,282,500,502,131,501,500,503,503,800,503,503,504,502,500,649,800,502,16,744,282,502,502,501,649,503,500,282,502,500,282,502,502,142,282,271,503,800,502,800,503,649,800,800,800,512,649,682,800,649,944,800,282,800,502,503,502,502,585,502,503,800,800,503,800,503,502,502,16,503,656,297,502,649,16,502,501,184,282,501,501,501,16,502,282,502,649,501,500,800,503,800,34,649,502,502,503,502,502,649,502,500,649,502,503,800,501,800,16,501,282,501,649,800,649,502,502,800,933,502,649,800,800,800,157,282,649,649,502,800,620,503,501,10,502,800,800,16,503,500,503,649,282,503,800,282,800,502,649,282,107,282,500,800,502,501,503,136,82,800,649,597,500,710,282,800,649,107,501,502,502,503,500,282,282,282,282,800,503,502,501,649,16,502,502,800,800,502,16,282,16,584,502,800,500,501,107,800,502,502,990,800,501,502,503,500,649,500,500,823,502,87,503,372,503,503,150,282,503,806,502,503,674,282,649,500,800,503,501,502,500,503,800,500,429,800,649,504,649,624,503,800,500,504,501,502,500,501,502,800,500,800,502,649,649,503,501,282,800,16,800,282,800,800,500,501,16,282,502,649,501,800,988,501,782,500,551,501,800,502,800,501,501,800,282,503,649,271,500,302,500,649,503,501,16,501,649,503,804,502,649,649,800,16,649,500,502,479,800,500,649,501,282,503,16,16,649,800,503,529,503,501,207,501,502,103,282,502,246,800,901,800,800,503,504,500,602,501,500,358,800,500,282,800,649,502,501,501,705,282,282,502,282,500,656,502,504,103,693,649,501,649,503,500,800,800,800,502,502,649,501,501,282,649,649,501,502,501,649,500,502,502,269,502,999,502,500,503,649,500,16,800,800,649,515,500,502,16,649,800,503,500,502,503,500,501,501,501,107,800,503,649,582,501,501,223,649,282,500,649,649,649,500,649,501,503,501,501,501,376,194,502,500,16,500,282,503,502,482,649,94,500,265,800,649,800,649,504,560,501,503,800,800,503,649,501,503,503,649,500,800,504,501,781,649,649,501,501,502,500,663,503,282,502,501,800,800,282,502,282,502,500,753,502,503,800,649,500,503,649,501,503,503,649,503,649,16,503,501,501,502,501,500,282,501,500,800,503,503,611,282,649,649,501,501,996,500,502,800,677,503,836,629,503,649,649,16,500,800,649,16,649,500,503,631,800,16,366,800,503,501,649,107,502,649,501,503,502,500,503,653,800,502,503,691,500,502,507,501,502,502,503,502,649,503,649,649,924,500,107,800,301,501,282,265,282,800,800,16,501,882,501,800,800,800,338,500,849,649,16,800,502,500,649,16,293,503,157,502,500,800,107,649,500,649,800,649,502,649,238,649,503,800,800,649,503,503,16,282,282,107,800,500,500,500,501,503,282,510,281,800,680,501,503,800,503,649,502,501,641,501,282,16,502,800,500,800,108,649,502,502,503,800,867,502,500,500,501,800,649,800,649,985,502,502,501,501,282,501,500,501,800,501,502,504,501,503,282,282,218,649,461,500,800,332,76,153,162,800,621,649,16,278,500,330,500,504,503,282,503,407,501,502,649,800,545,504,502,503,800,649,500,500,649,800,16,800,103,500,800,800,800,22,649,503,800,502,862,16,502,502,758,800,282,500,107,785,500,16,800,649,365,503,422,503,411,800,881,339,282,502,502,800,503,800,501,827,282,988,501,800,501,365,501,649,501,501,503,503,502,501,501,779,501,503,503,503,502,828,649,502,503,649,500,502,800,500,500,800,800,649,502,649,282,134,503,649,904,503,502,800,503,641,282,502,800,649,502,501,500,282,605,649,649,649,800,501,800,502,800,79,502,502,800,800,107,16,649,800,502,500,282,500,297,649,502,649,501,504,503,501,649,503,16,502,500,800,282,649,503,501,649,501,500,501,502,503,502,501,500,800,501,503,503,500,888,649,693,923,502,503,502,131,800,16,649,502,649,502,649,800,649,500,90,649,503,500,649,282,501,850,503,649,649,858,503,16,502,705,502,800,282,502,649,503,501,503,649,800,501,277,649,872,242,501,500,502,282,502,503,502,800,800,649,500,800,649,800,501,501,207,501,503,800,504,502,519,800,503,647,87,16,500,649,502,503,502,503,500,800,890,924,501,800,502,16,503,584,66,800,16,649,31,649,500,800,649,649,501,500,800,503,503,501,500,502,282,503,107,502,649,649,907,649,500,501,501,800,800,501,503,750,276,501,501,282,500,670,800,500,503,649,327,800,503,500,500,502,500,282,141,800,800,800,649,9,503,800,800,16,500,282,800,500,500,503,500,834,502,500,282,501,649,500,500,500,800,502,649,92,761,800,649,800,501,503,308,500,333,502,501,502,80,800,501,501,500,800,962,503,649,800,649,503,379,501,501,503,503,552,119,649,503,305,503,501,500,800,649,282,501,800,502,500,170,502,504,282,500,501,649,502,263,502,503,16,503,502,502,735,800,800,500,765,583,800,649,520,282,503,502,729,800,249,502,502,501,282,282,282,500,503,503,501,282,501,503,649,649,800,500,107,800,501,500,770,504,502,502,503,103,513,649,502,501,503,503,649,393,800,282,800,502,503,504,502,502,500,685,504,282,501,649,282,764,503,502,502,503,919,503,800,8,502,282,502,800,649,501,501,502,500,549,501,523,282,501,282,935,500,103,649,500,501,500,282,649,504,502,649,503,282,649,502,503,282,500,649,572,649,503,504,800,649,501,800,107,500,501,502,649,800,149,649,502,500,649,503,501,30,500,503,503,501,16,649,282,469,503,503,649,500,500,663,502,502,800,847,800,800,16,800,500,501,649,503,502,800,282,649,503,649,503,502,649,501,500,800,800,500,502,282,500,501,503,800,501,503,800,21,705,501,500,500,649,282,500,282,649,16,282,649,800,500,500,383,649,502,502,649,501,501,500,502,500,16,500,500,800,502,504,500,503,502,503,649,16,649,282,502,502,503,869,800,501,705,501,16,716,500,810,501,800,503,661,501,503,500,502,800,800,502,331,800,282,501,16,503,501,502,500,503,502,371,903,16,649,16,649,649,503,649,503,501,649,503,800,649,500,333,800,800,503,503,501,800,502,501,503,502,503,503,282,503,500,649,282,16,502,107,501,993,501,16,504,694,649,800,800,501,501,800,282,500,504,502,100,500,969,322,503,649,501,501,500,800,503,800,892,372,502,502,501,649,800,501,503,800,502,649,501,503,800,649,502,753,16,502,800,402,282,16,758,500,800,705,504,802,282,501,649,800,503,964,282,503,800,503,800,282,649,502,503,196,502,16,282,501,503,500,502,473,649,16,16,554,107,800,282,503,502,649,502,501,503,800,500,800,501,501,16,649,66,555,618,504,493,800,84,100,501,501,282,800,501,109,649,500,16,501,800,16,502,500,502,501,501,601,800,649,800,501,16,800,649,502,282,632,649,282,282,649,649,649,800,503,503,500,500,504,649,587,503,502,338,502,412,282,133,800,649,503,504,503,502,503,800,991,501,663,649,52,502,503,16,282,16,649,502,503,649,649,649,649,800,500,771,800,200,500,649,396,502,800,501,929,756,501,177,800,503,502,800,503,649,503,500,500,680,800,503,649,282,282,503,277,501,502,800,282,649,649,460,501,500,504,501,649,282,503,500,242,567,649,502,503,927,501,503,500,502,501,649,501,445,500,501,500,502,503,649,501,500,501,350,939,51,770,282,501,503,502,503,500,503,210,649,246,501,282,649,800,705,503,16,501,501,502,503,16,500,751,282,501,857,501,250,502,649,501,502,649,502,503,501,16,503,501,282,503,501,915,800,502,503,365,413,502,282,500,503,500,935,282,500,800,500,733,800,501,224,500,800,503,649,500,503,156,502,649,649,143,503,502,500,503,502,500,502,649,500,500,103,800,776,502,649,500,942,503,503,800,503,16,649,107,861,800,501,16,800,649,501,503,107,210,649,645,504,800,502,649,649,503,54,503,649,282,503,705,699,800,503,500,800,504,465,649,501,815,503,502,16,282,501,800,501,500,502,501,500,800,501,800,502,390,500,800,500,800,800,501,649,503,501,16,501,500,282,649,512,649,500,800,503,349,800,500,500,800,502,502,501,800,126,502,503,500,649,500,500,649,500,500,502,800,503,503,282,107,800,500,503,503,800,503,16,800,503,503,57,501,649,500,502,869,787,951,501,501,503,500,649,500,502,800,876,800,500,503,503,352,500,800,500,800,282,800,649,282,800,800,800,800,800,800,501,500,500,908,503,800,649,501,502,503,503,500,16,502,501,503,282,797,800,800,739,800,500,502,500,500,504,502,800,800,503,649,649,649,282,941,649,282,502,800,649,500,500,800,800,282,500,503,503,500,503,501,501,501,502,500,800,16,711,154,649,500,501,503,282,16,800,323,501,800,500,502,282,649,911,800,973,500,501,500,858,501,501,282,800,500,800,500,502,500,484,649,503,503,501,16,501,502,800,800,501,293,502,647,282,282,282,800,800,501,501,501,502,501,800,501,500,204,639,501,282,800,500,502,500,503,800,501,502,649,774,649,800,500,500,500,500,503,863,649,649,282,649,774,502,501,503,502,549,705,502,503,504,501,800,503,503,501,800,502,340,16,800,800,649,735,501,502,500,502,503,800,856,649,101,649,174,649,282,107,501,800,503,649,501,502,282,504,282,103,500,503,800,649,649,649,500,501,502,800,503,916,16,503,500,502,500,800,501,502,649,800,501,501,800,501,280,503,503,800,943,649,500,800,501,500,503,800,500,502,502,800,503,649,503,503,800,16,800,503,501,502,174,590,649,800,502,800,502,480,500,500,502,649,800,800,501,500,502,910,500,503,501,502,503,503,503,332,800,679,649,320,500,282,503,800,503,282,503,649,649,282,503,500,502,502,500,800,501,282,16,500,303,800,504,34,649,16,649,649,16,282,282,282,800,535,502,800,502,503,503,800,500,503,267,501,16,500,503,503,800,282,800,500,211,500,657,800,492,800,546,649,502,649,649,501,282,800,500,807,500,988,800,800,500,649,503,500,16,500,502,649,282,649,503,800,500,504,38,503,503,503,500,282,500,649,649,500,501,656,649,705,502,501,502,502,432,501,16,649,649,502,800,502,500,502,800,800,500,503,500,500,800,501,800,46,502,282,764,649,502,720,800,445,503,500,502,282,16,800,500,649,800,800,282,502,502,501,256,503,282,48,502,502,649,503,502,501,503,31,500,500,502,501,501,282,503,501,500,282,649,501,501,800,500,649,502,503,502,502,649,682,649,500,500,501,501,502,500,831,503,500,501,504,502,500,500,503,649,112,502,800,501,649,500,649,501,501,369,500,503,500,503,145,649,282,939,503,800,958,501,500,502,649,503,710,503,500,501,800,685,502,282,800,500,500,501,800,502,502,282,501,800,504,500,501,500,103,501,683,501,500,649,649,500,282,502,16,500,501,967,501,500,649,146,503,502,502,502,502,649,649,501,502,130,649,800,16,893,800,800,282,502,500,501,16,500,503,503,503,649,500,502,501,503,800,800,501,500,274,503,500,501,502,800,649,649,503,502,504,959,501,501,282,500,649,501,649,503,501,501,503,501,800,500,800,502,282,502,502,800,463,502,841,649,504,649,501,282,503,503,501,502,501,501,800,502,503,503,500,599,503,649,503,501,502,282,503,282,503,502,501,214,500,503,501,500,503,500,503,103,282,800,649,500,282,107,800,649,324,800,649,502,504,16,571,282,503,501,904,503,501,502,503,649,649,501,500,501,800,705,649,503,800,282,501,503,578,503,500,501,649,649,282,500,800,501,109,502,16,596,501,649,800,745,502,649,800,728,649,245,500,502,95,501,107,503,16,502,500,800,862,282,502,16,649,649,566,921,503,501,501,501,500,697,800,502,500,503,16,919,800,649,944,649,500,649,502,503,360,800,501,500,649,500,503,119,73,16,501,310,502,800,500,502,649,502,649,173,800,649,502,500,502,502,501,800,629,502,503,800,551,16,503,501,500,503,500,649,501,282,738,501,503,501,966,16,501,649,502,649,649,502,500,502,649,502,500,502,502,502,501,502,800,108,107,500,16,501,800,503,292,282,800,16,503,500,649,502,16,503,588,504,503,282,502,16,502,504,503,502,176,649,501,909,500,503,282,500,282,863,103,501,800,282,199,503,502,800,732,500,8,800,649,800,521,800,800,800,614,502,649,746,501,500,502,502,502,502,503,649,16,282,649,905,502,369,649,502,501,282,500,500,800,835,800,649,502,502,16,503,282,710,649,501,502,290,800,502,800,503,645,282,282,649,502,649,500,649,502,501,502,35,933,16,649,501,649,683,500,649,503,502,485,512,800,500,500,501,502,502,649,500,649,757,16,904,501,800,504,503,502,503,503,649,501,500,800,500,501,649,503,649,501,423,502,800,503,500,503,500,503,205,500,745,500,502,282,501,282,501,16,800,282,503,580,649,500,502,501,649,522,649,800,16,285,503,500,500,800,800,502,16,501,649,800,334,503,649,282,501,500,503,501,501,504,706,800,800,71,503,800,502,649,502,501,800,800,504,800,501,16,800,282,504,16,500,503,502,282,501,503,340,282,16,501,503,649,705,800,16,502,282,649,503,503,500,649,800,501,500,502,500,282,501,503,800,332,649,16,649,503,800,502,703,916,502,500,503,500,503,106,800,649,502,503,501,649,501,500,502,503,500,502,16,800,285,502,649,173,649,60,500,500,800,504,502,503,501,800,503,800,800,501,800,501,800,988,800,649,16,800,107,502,100,800,282,473,503,800,910,501,302,501,282,500,807,649,501,503,16,800,503,502,649,502,800,500,800,649,500,107,621,502,501,501,502,500,649,800,483,902,520,502,800,500,501,502,500,500,500,649,649,501,500,800,503,502,503,500,503,503,501,103,501,282,503,503,501,282,649,800,649,780,16,501,16,503,800,503,500,743,501,502,503,346,800,800,800,800,500,649,500,503,16,800,500,500,502,501,282,800,138,16,649,500,503,502,501,649,500,649,31,500,649,504,800,800,500,103,500,282,649,800,649,500,800,649,502,649,649,501,500,16,649,502,649,800,500,501,861,800,503,502,649,501,800,107,502,503,501,649,503,501,500,502,282,800,501,501,502,503,649,503,649,500,313,282,282,282,500,500,503,502,501,503,500,317,503,649,943,502,501,800,501,282,502,390,282,501,282,500,800,282,500,500,16,282,502,502,800,800,649,502,795,282,503,500,361,642,500,800,501,919,800,800,351,282,503,502,502,125,69,504,532,649,649,282,800,500,503,502,800,500,502,503,501,649,800,800,800,282,502,503,164,649,649,649,500,649,16,500,500,649,282,800,649,503,503,649,16,503,800,501,649,649,501,502,800,800,800,282,649,649,800,500,738,232,503,501,763,500,9,501,503,282,502,503,504,649,204,649,501,649,503,502,16,649,649,501,247,501,503,282,649,501,649,503,500,162,502,800,154,917,800,502,649,649,800,74,800,503,282,800,503,503,800,282,500,649,73,800,840,503,463,502,502,649,501,500,504,501,649,503,649,103,448,503,800,502,649,503,800,502,501,504,503,697,649,500,500,800,649,504,800,800,16,800,500,649,649,282,153,500,503,183,500,170,450,502,649,800,501,501,502,649,327,16,500,282,288,500,800,501,649,501,502,500,501,107,501,501,800,500,504,501,649,16,503,502,501,502,800,282,502,775,282,504,656,649,721,502,50,504,85,502,649,800,649,76,670,502,503,501,282,649,649,503,500,502,504,500,500,501,502,502,282,501,604,282,500,501,800,503,941,800,500,649,501,501,503,800,800,800,501,502,500,282,504,857,501,502,503,501,503,501,500,631,649,623,501,649,482,16,502,649,492,500,649,649,500,649,500,107,501,502,503,800,282,503,502,36,665,500,830,800,282,503,282,282,503,911,503,500,500,501,649,16,502,16,503,881,282,649,490,503,503,649,502,500,649,502,503,649,649,649,503,649,501,259,282,484,501,800,577,800,800,504,502,500,519,503,502,16,800,649,500,889,501,501,800,107,503,649,800,502,106,501,800,649,503,800,800,800,503,649,502,503,16,875,500,649,800,502,282,503,282,501,649,800,787,502,762,500,502,649,29,800,608,500,500,503,649,502,500,649,800,649,502,800,503,503,649,282,156,500,504,150,500,372,503,800,502,501,800,503,107,500,800,501,502,500,500,501,501,649,503,503,649,501,16,649,502,500,502,504,502,687,907,500,107,503,367,282,800,502,282,503,649,240,800,503,800,503,800,16,16,649,501,649,502,649,16,503,649,282,500,501,107,500,649,501,909,800,502,649,800,747,504,282,649,502,501,502,502,800,500,502,649,107,800,282,500,800,500,503,503,501,501,649,580,504,649,502,649,789,649,156,662,503,800,502,501,649,503,282,282,501,503,103,501,649,649,501,800,649,600,649,857,501,869,500,503,500,800,800,649,800,800,500,649,649,501,621,282,282,501,501,649,502,871,649,503,16,800,503,16,800,649,500,282,501,502,649,500,500,800,794,649,501,649,500,500,961,961,529,649,649,501,501,649,503,282,500,838,138,500,16,502,800,501,501,800,789,501,502,503,649,445,649,282,107,629,649,501,500,103,503,800,501,103,282,503,502,500,649,800,800,800,503,501,501,670,800,800,502,502,649,800,503,502,800,16,500,16,800,501,502,800,714,16,502,649,502,500,501,501,501,282,141,282,649,282,197,282,501,800,501,500,501,501,413,501,500,16,501,501,511,504,800,501,502,649,668,501,502,282,649,800,502,800,773,503,501,503,800,649,800,502,649,502,501,282,500,502,501,515,500,800,502,16,502,502,501,502,800,503,500,501,502,800,800,500,800,345,501,649,500,282,502,504,500,501,654,501,502,649,500,800,649,500,503,282,649,500,500,500,649,800,503,500,500,107,649,800,500,500,501,715,649,502,503,502,503,501,282,800,16,500,502,649,580,503,503,278,501,649,213,800,502,282,503,667,282,500,502,853,501,503,334,282,503,932,502,502,649,16,282,500,800,649,500,746,501,41,502,500,800,282,999,800,408,502,508,800,501,501,649,501,503,500,500,800,800,500,282,501,502,501,500,501,649,649,503,502,107,501,800,504,649,500,649,501,502,500,502,800,649,282,684,895,649,502,649,649,502,649,503,649,500,503,502,500,282,504,282,649,502,800,277,502,282,800,503,503,377,282,503,282,800,500,504,503,502,501,800,649,282,107,502,503,500,502,501,779,649,637,500,800,800,500,649,800,649,282,649,800,503,800,501,282,16,671,502,800,780,502,800,503,649,649,649,500,500,124,503,16,705,800,500,503,107,649,500,501,502,800,500,289,800,649,282,611,74,502,282,500,667,282,84,777,500,445,502,502,501,689,503,282,671,503,500,503,502,501,649,649,800,501,502,800,503,705,649,649,503,500,500,649,502,282,503,502,500,282,503,524,649,669,649,500,502,649,501,500,282,800,503,649,500,649,649,649,460,649,800,503,852,649,649,500,502,501,800,501,502,502,282,649,649,103,501,501,649,503,277,649,16,416,502,357,809,503,782,649,800,649,503,649,33,800,939,503,649,649,502,800,569,503,500,500,800,282,500,649,800,800,503,501,502,503,299,282,16,800,500,503,800,502,389,649,16,606,502,30,800,790,649,500,800,503,649,503,649,395,571,649,502,868,282,504,503,282,500,503,800,800,16,503,649,649,282,501,429,649,800,16,502,503,501,501,858,500,678,500,800,502,347,16,501,503,130,500,500,500,282,502,500,501,800,500,16,500,673,502,503,500,282,501,500,800,649,649,503,649,501,649,500,502,588,503,502,501,500,503,800,909,785,871,408,800,500,503,503,503,502,502,640,649,800,800,16,501,64,503,800,282,672,502,800,649,500,503,914,501,800,649,500,907,503,503,969,922,500,800,282,501,502,401,501,649,800,800,502,501,502,282,649,282,504,649,502,503,501,800,856,106,51,517,282,800,501,282,649,503,649,800,500,501,649,649,16,501,504,501,504,502,649,738,500,800,502,263,500,502,501,282,800,500,649,501,800,500,502,502,800,29,503,649,501,500,649,649,800,800,501,16,500,502,500,247,503,827,649,282,16,502,503,800,800,502,502,800,502,502,649,504,649,501,501,500,618,502,501,502,649,282,503,501,503,502,649,501,649,649,727,800,649,800,282,107,501,501,500,282,25,649,649,821,282,649,649,800,501,181,649,101,649,800,282,800,502,837,516,502,800,500,502,503,649,502,503,502,500,501,500,503,501,649,503,143,500,709,500,501,149,501,503,800,717,282,501,504,649,500,502,404,504,503,800,502,800,503,501,503,500,503,439,501,807,504,16,649,800,717,649,717,649,503,800,501,504,434,800,649,501,503,503,800,501,502,500,282,502,502,502,502,282,502,502,501,649,502,800,503,503,500,800,649,502,150,63,501,800,705,502,649,501,503,500,800,503,649,800,16,282,503,800,800,502,501,502,609,503,503,502,441,501,16,502,649,501,501,500,451,445,51,282,649,503,16,800,16,503,219,501,501,649,503,500,502,501,500,800,800,157,800,282,624,282,16,282,649,502,501,500,503,501,503,800,502,500,501,800,500,649,649,800,500,800,502,16,502,503,501,275,501,503,502,500,500,7,501,503,800,282,800,649,649,800,800,500,682,282,500,500,501,502,502,800,501,800,800,501,800,580,500,649,433,351,503,649,501,649,501,624,502,503,800,989,800,649,501,501,800,500,502,500,501,501,502,800,955,500,500,760,649,502,501,502,800,107,800,282,100,727,800,500,282,649,502,502,800,503,553,503,931,501,649,500,502,800,282,649,502,282,500,552,503,808,503,800,638,501,501,649,504,502,618,642,649,282,800,800,500,800,800,649,502,649,282,649,501,501,282,649,649,502,502,649,16,503,501,649,357,649,649,501,282,500,503,800,503,800,500,282,500,502,503,501,649,503,501,649,500,16,503,501,800,649,500,500,500,500,504,501,501,649,501,800,502,800,504,649,467,649,800,502,282,282,502,500,500,282,500,500,503,107,503,282,502,649,649,16,800,502,649,649,751,103,502,501,119,500,800,500,501,501,500,502,503,649,501,503,502,500,500,502,633,953,502,503,502,501,503,877,501,649,847,500,195,503,349,282,502,502,501,501,288,818,800,500,649,429,502,504,126,504,503,503,503,282,83,800,902,500,500,501,649,800,502,800,502,503,502,16,501,649,800,648,503,500,16,500,266,166,800,649,649,500,501,282,503,649,501,500,504,503,503,503,501,800,502,800,501,500,145,502,16,649,554,503,502,282,501,502,501,16,621,502,502,500,502,649,649,44,282,500,500,500,504,502,199,500,500,502,502,501,502,800,16,282,282,501,800,800,502,16,503,502,501,500,500,807,800,980,61,800,282,590,16,501,502,503,502,503,404,503,649,649,572,502,417,652,16,217,502,800,501,781,282,503,964,16,16,503,503,800,500,356,501,502,503,500,502,282,500,500,544,649,6,800,502,107,501,500,501,16,16,502,502,800,649,503,357,503,800,503,107,503,76,449,501,503,503,800,503,500,778,502,369,649,503,502,649,503,649,800,649,938,500,501,502,649,500,500,502,730,502,800,502,503,649,500,502,649,800,282,500,649,500,500,282,502,649,255,500,504,649,282,340,649,503,649,502,800,153,500,503,649,501,503,800,43,501,503,209,500,501,500,800,649,503,392,649,649,503,504,284,500,503,972,500,501,500,800,138,500,16,800,759,501,649,422,16,501,502,107,504,503,16,481,107,500,503,500,501,649,735,403,457,256,649,676,800,103,502,16,69,502,501,649,800,282,649,274,649,800,503,865,649,780,580,186,503,500,502,562,501,800,501,502,501,501,800,529,503,918,500,16,282,649,282,503,800,503,800,649,502,563,264,649,49,503,500,502,503,649,649,500,501,500,503,649,800,501,501,446,502,502,800,800,502,800,500,800,884,501,501,800,733,501,504,739,502,501,617,649,503,282,649,501,501,646,501,282,501,500,503,95,500,338,503,501,107,282,502,503,734,649,16,501,502,503,800,502,500,502,800,501,649,501,192,501,501,502,649,649,503,501,500,502,504,504,501,996,867,369,800,500,800,502,649,649,16,503,502,404,503,420,98,502,503,501,800,503,160,501,500,502,807,501,304,649,649,502,503,649,502,502,500,500,800,649,503,503,800,500,271,503,329,503,502,974,800,501,500,501,502,649,800,504,103,649,282,500,16,649,502,669,226,282,649,500,800,502,649,503,500,503,16,193,107,500,800,800,800,501,503,282,501,906,800,501,503,500,503,557,649,649,501,800,16,500,282,800,800,500,107,504,500,920,503,502,649,649,800,503,502,877,502,800,500,282,282,503,282,282,800,164,649,502,502,800,16,500,528,501,282,127,16,501,500,501,649,800,811,503,649,502,501,502,282,500,500,812,501,800,503,501,857,649,800,282,800,800,16,282,649,502,282,502,649,503,504,800,503,501,705,16,502,219,500,282,503,501,649,649,107,503,502,16,649,501,502,800,300,800,348,807,500,800,500,800,441,503,500,649,502,282,503,649,502,503,500,502,156,500,167,282,649,649,382,649,501,502,800,282,502,800,405,16,649,282,14,502,501,16,503,800,800,502,800,800,649,500,800,173,282,16,800,800,649,501,501,500,500,800,500,43,501,800,800,800,649,503,500,606,649,734,500,501,800,59,649,800,502,501,502,503,649,75,501,501,25,800,800,500,800,504,282,503,282,282,503,800,800,503,902,282,800,649,649,800,502,500,649,233,800,502,800,503,324,503,649,800,649,649,501,720,502,501,282,874,501,649,500,563,501,502,503,800,500,231,503,500,282,800,649,501,649,282,282,502,282,503,502,500,649,503,16,800,500,649,502,649,503,500,649,500,500,504,501,500,501,156,500,72,503,800,740,501,649,800,282,800,649,500,16,800,502,502,501,501,800,649,500,107,800,649,501,503,800,501,500,282,649,501,829,501,649,503,502,649,799,282,500,503,502,500,649,501,313,502,500,503,503,255,500,282,501,478,503,503,649,649,834,282,503,501,545,500,500,503,502,649,502,503,800,800,501,502,501,800,503,503,800,649,649,503,282,501,16,503,502,503,649,500,502,503,649,502,100,502,501,649,282,503,501,955,800,800,501,501,100,421,800,504,500,800,501,503,981,502,503,633,502,649,282,500,500,528,502,500,501,500,16,800,500,500,501,282,500,654,800,649,649,502,838,649,282,649,503,501,503,502,445,198,503,800,500,500,501,501,800,360,282,800,16,501,502,800,282,649,502,501,107,501,282,500,649,806,762,501,500,649,282,649,649,800,963,500,502,649,503,528,107,675,503,501,800,503,649,649,800,800,16,501,501,282,502,490,502,500,649,500,233,71,16,282,503,504,500,107,502,503,500,800,501,604,800,649,282,503,500,705,635,720,649,16,501,649,282,501,649,800,501,502,800,501,502,502,501,503,649,503,878,503,16,500,800,16,500,698,800,500,649,501,500,502,501,649,532,501,502,501,16,631,503,282,16,500,649,649,282,503,177,503,668,649,503,807,501,800,649,501,502,282,800,502,673,800,502,504,282,649,800,502,800,282,800,500,653,500,503,413,501,789,502,800,693,800,649,501,503,503,649,800,800,591,213,649,103,500,800,16,500,501,528,800,282,500,649,503,500,70,800,503,566,502,611,103,503,863,649,649,282,502,16,282,501,16,55,503,502,502,454,649,500,501,921,888,41,16,705,502,503,106,800,760,800,107,502,500,656,217,146,502,750,649,500,501,180,800,16,502,649,649,800,502,503,16,649,503,403,649,649,503,649,800,501,649,503,16,500,800,502,282,500,501,914,501,800,649,362,503,501,800,800,501,774,649,500,503,649,800,649,527,282,255,956,282,503,501,649,282,649,502,503,501,501,501,282,501,282,503,502,503,800,500,282,500,836,502,501,25,649,503,800,380,649,642,649,503,282,777,16,98,503,500,502,500,986,649,785,502,551,649,501,16,282,282,502,649,502,972,500,800,649,502,399,503,502,502,107,649,649,500,800,649,800,16,975,800,800,614,649,649,502,649,103,501,500,100,282,649,501,594,354,500,649,649,500,27,16,800,502,501,800,982,282,941,800,649,503,800,649,649,502,903,709,500,502,649,282,282,501,649,503,674,503,394,501,282,649,500,502,502,503,502,502,502,800,501,800,503,17,501,502,501,501,500,501,847,800,503,500,503,500,649,800,503,16,16,800,649,501,16,500,500,800,500,502,503,502,503,500,837,875,129,501,502,800,282,649,501,502,500,30,282,498,503,649,649,501,503,836,500,395,501,800,113,501,502,164,251,282,501,16,282,501,503,501,907,800,501,502,391,583,504,282,575,501,502,800,423,502,503,501,500,503,501,800,501,568,502,649,649,800,502,740,649,500,649,501,560,501,639,649,501,500,501,503,16,502,502,500,564,502,503,649,503,800,800,282,649,800,747,502,999,649,491,504,500,502,960,502,502,500,800,500,500,649,649,503,103,501,391,502,800,800,186,649,649,500,501,502,503,501,503,282,526,433,649,501,282,503,800,500,500,800,800,500,774,800,800,500,501,16,500,649,500,503,649,16,504,649,502,492,800,659,502,428,504,502,501,500,989,649,490,500,501,502,900,678,500,282,282,502,501,502,501,501,500,511,500,649,69,649,649,706,500,501,501,500,107,800,502,501,503,649,501,501,282,800,908,504,502,502,502,649,282,503,503,501,282,282,649,500,503,853,800,800,500,282,503,500,500,503,649,501,683,504,504,502,800,649,502,16,16,501,16,227,649,500,800,649,502,649,500,800,503,500,501,800,502,800,282,503,501,800,649,649,282,503,800,282,501,502,800,502,800,649,845,649,100,800,800,649,649,503,501,501,501,16,504,502,282,800,503,649,16,504,282,649,800,502,649,503,501,501,503,500,800,37,175,502,501,45,649,253,502,502,282,583,282,107,500,503,503,107,503,800,649,502,500,16,503,649,500,800,649,503,501,649,502,501,500,282,502,500,649,500,649,501,649,500,502,649,830,800,501,282,800,800,501,503,500,500,649,649,318,649,282,649,239,501,501,500,503,500,649,502,501,500,503,501,800,502,500,503,504,500,800,500,649,501,501,800,500,872,968,500,501,449,800,282,500,500,282,800,800,501,649,503,16,800,800,503,649,16,503,502,649,960,502,649,502,501,503,800,501,503,500,649,800,500,800,500,649,800,503,501,475,941,503,16,501,800,502,196,800,502,503,649,503,649,503,60,282,279,649,800,503,500,800,282,500,501,282,501,800,649,503,649,502,807,501,649,500,501,500,16,16,649,282,426,43,502,649,501,174,800,500,649,502,503,501,282,500,501,282,649,503,16,374,325,504,503,649,16,500,176,502,282,504,800,501,800,503,987,503,503,649,16,502,503,31,800,503,501,502,501,502,649,649,502,747,800,503,502,551,665,315,649,500,503,845,649,503,649,504,282,502,500,501,282,503,503,282,502,503,649,649,800,500,501,503,502,506,649,501,387,16,16,473,649,501,16,501,503,501,800,282,978,649,130,502,503,504,282,503,649,500,995,503,502,800,807,502,500,502,502,800,649,502,503,502,500,500,501,500,500,575,705,800,502,502,502,501,800,502,501,282,501,649,649,502,503,501,864,282,501,638,502,502,503,649,503,500,500,649,503,502,502,501,282,800,501,502,502,282,502,800,501,354,501,649,503,906,501,649,800,502,502,501,500,16,503,500,501,501,501,282,800,649,800,916,501,16,500,800,800,502,501,246,501,500,501,649,500,502,282,500,500,649,465,16,649,649,282,86,501,649,649,63,103,503,502,503,502,649,649,501,503,501,502,800,500,282,502,503,649,500,502,502,351,649,800,649,193,502,504,16,502,501,828,501,800,502,502,500,969,500,502,582,51,800,501,502,649,500,13,800,500,649,502,500,800,516,500,518,282,800,800,557,503,500,500,503,649,502,572,502,649,800,182,800,500,800,502,649,500,500,649,84,800,800,649,502,501,925,501,502,500,503,500,500,501,501,502,800,800,502,502,588,500,649,800,503,502,649,503,282,649,500,501,504,501,649,502,501,503,649,500,649,800,282,502,649,800,596,502,705,705,500,649,501,649,500,502,500,500,500,800,649,501,501,107,440,501,502,500,502,501,282,487,503,501,282,833,503,649,502,503,502,500,649,800,800,901,503,121,649,501,912,764,649,500,500,822,800,500,503,964,502,800,73,501,502,502,731,16,649,500,498,800,501,502,649,500,500,500,503,501,282,501,282,500,503,502,500,649,103,502,500,282,500,282,500,800,575,501,800,503,44,800,503,568,500,500,30,502,800,502,773,649,234,649,501,501,800,500,502,500,500,503,282,364,501,800,503,502,800,503,502,501,502,649,800,501,59,16,502,800,500,107,649,574,282,501,500,502,502,500,500,282,649,800,282,424,502,800,501,800,373,282,502,289,670,369,502,800,502,503,800,360,282,800,504,503,501,501,800,800,501,976,649,501,504,503,500,503,649,500,500,263,282,800,504,800,649,502,731,503,501,800,922,800,886,502,501,649,501,500,800,282,800,500,495,500,502,501,982,502,500,503,107,503,649,500,459,503,502,800,502,800,503,502,649,502,800,649,665,282,500,501,503,503,61,282,500,800,502,914,501,928,503,649,500,800,649,800,800,800,503,501,800,501,500,500,503,169,503,501,501,503,368,649,503,282,501,649,500,501,640,501,502,500,503,800,359,16,649,503,502,500,800,500,500,800,846,649,503,857,282,649,503,500,800,282,500,800,502,282,502,282,800,503,282,503,649,800,502,750,800,502,502,470,502,502,649,800,800,649,502,503,501,800,678,502,500,502,406,649,500,649,649,16,501,800,107,504,502,503,282,282,800,649,503,349,502,800,649,649,503,500,500,503,282,800,503,165,282,500,649,500,800,503,502,649,282,282,970,480,186,503,502,501,282,16,777,800,282,502,503,394,500,502,503,501,652,482,504,649,282,103,503,649,520,628,569,503,800,503,503,516,800,502,500,501,503,800,649,800,500,649,502,500,282,502,500,501,800,649,282,282,502,800,500,503,649,180,800,500,503,905,501,649,502,502,502,501,500,503,972,503,500,502,649,768,199,503,501,453,649,500,502,501,800,649,800,649,502,503,501,800,282,503,649,306,649,440,502,502,500,16,501,500,502,800,501,282,502,500,500,503,502,503,500,500,500,282,800,783,501,16,503,282,501,800,503,649,649,500,503,503,500,502,503,502,500,282,800,282,649,500,282,501,503,930,649,365,502,501,649,503,16,649,500,502,502,516,501,502,501,503,800,800,800,504,515,282,16,16,503,800,282,502,649,500,800,86,502,500,649,503,703,500,502,649,649,502,503,649,16,800,502,649,502,649,502,501,498,800,500,60,503,502,282,500,649,800,779,502,558,800,800,800,502,649,649,649,493,500,800,503,501,649,800,649,501,502,883,746,282,40,500,800,500,500,501,800,800,800,500,800,500,503,800,529,501,649,282,501,503,500,502,25,649,503,16,698,282,501,107,502,500,503,649,500,500,500,638,502,282,503,800,649,649,263,500,947,487,649,800,503,282,306,500,626,503,502,800,500,502,282,500,649,502,503,282,282,649,501,134,502,500,503,282,503,500,503,503,649,502,282,649,504,501,502,649,502,503,502,502,649,800,292,502,503,800,501,503,503,503,649,500,500,16,502,20,282,649,501,503,902,194,503,502,800,501,501,503,503,800,649,502,103,500,16,282,649,501,800,481,282,500,504,500,503,743,800,649,502,16,502,500,649,800,501,503,28,829,287,649,107,800,649,502,649,500,800,501,282,502,800,504,501,503,282,800,504,800,649,649,502,501,500,501,504,501,800,649,501,504,500,501,649,649,649,800,16,500,800,326,504,500,503,282,16,501,501,649,504,503,800,649,500,337,800,293,501,282,800,503,16,6,282,503,116,642,502,16,502,501,502,501,282,65,123,649,800,501,502,503,800,649,503,800,503,501,649,502,705,503,158,16,777,16,502,503,800,800,502,47,76,282,500,442,500,500,649,649,502,502,649,500,503,500,501,503,503,865,503,500,800,16,503,649,501,649,500,800,504,282,800,107,16,282,16,800,16,800,502,502,501,503,500,649,649,503,502,158,504,502,502,500,501,282,800,501,500,500,800,649,800,500,503,107,800,502,500,502,502,649,503,800,500,502,16,501,503,504,649,503,649,502,282,503,503,503,501,502,503,502,16,66,501,16,649,536,649,282,282,800,16,800,800,503,649,503,501,282,800,502,501,16,649,500,501,502,504,510,800,16,501,501,500,500,501,282,800,800,16,500,649,503,107,649,800,16,800,800,324,500,800,502,649,649,500,800,113,500,800,501,282,800,501,503,501,500,501,282,649,775,103,501,800,501,800,439,502,800,649,967,398,503,800,533,800,800,502,16,649,546,501,500,649,282,500,482,202,800,501,502,800,500,649,800,503,503,282,236,501,27,800,500,500,503,649,649,503,282,282,649,800,649,232,561,501,649,282,502,909,500,501,501,501,500,187,649,649,502,501,362,503,800,649,500,502,162,282,787,649,502,501,835,107,282,16,282,502,16,649,909,649,800,503,23,649,649,800,282,115,800,282,800,502,500,566,282,800,282,16,909,800,501,16,649,503,649,649,251,649,502,504,800,800,800,25,649,503,504,582,16,800,16,500,502,502,504,503,500,800,503,503,649,282,800,500,16,649,649,501,501,501,500,753,107,501,33,730,649,500,970,489,502,282,282,635,649,502,282,61,16,800,649,282,804,800,16,800,800,282,501,800,503,500,502,282,500,649,501,201,282,503,502,481,16,800,503,906,649,501,922,800,16,501,503,501,500,503,16,500,800,502,501,503,962,501,649,800,827,800,503,800,500,800,502,649,282,502,649,649,649,500,500,503,502,502,800,282,502,649,649,282,978,800,649,800,502,800,282,502,501,800,500,649,502,800,502,373,500,503,800,800,500,800,800,103,779,282,282,503,649,382,282,649,503,501,766,502,501,501,800,503,800,500,502,649,233,502,800,500,501,502,501,500,649,999,800,649,503,503,502,800,501,800,800,649,103,649,500,500,501,649,107,649,500,501,107,800,800,475,500,502,502,282,649,282,16,502,800,503,800,503,107,672,502,500,903,503,502,282,808,800,500,679,379,502,504,649,649,53,501,500,282,800,16,649,16,502,500,503,500,282,500,503,282,882,800,502,649,649,282,800,501,500,501,200,122,500,502,501,282,282,649,107,800,503,282,500,649,502,503,501,502,501,649,502,501,502,16,502,501,500,502,16,800,282,503,282,500,503,520,502,800,649,502,800,800,800,649,649,500,800,502,412,800,257,503,649,282,649,501,800,800,502,789,764,649,500,101,649,800,504,500,649,501,501,501,800,502,503,649,503,502,500,504,500,107,649,16,649,501,800,649,4,500,503,82,649,500,503,802,503,282,501,500,282,540,502,649,16,501,800,800,500,800,649,503,503,649,107,800,800,501,16,800,500,503,731,107,649,502,504,501,649,503,282,136,800,282,503,800,503,967,501,501,649,991,282,500,649,501,500,16,501,800,348,282,649,444,500,649,649,103,502,649,135,500,502,503,502,749,649,649,502,500,502,501,503,501,501,282,503,501,502,649,501,800,501,800,504,474,501,800,500,502,500,501,503,503,500,502,501,649,16,800,649,282,619,982,500,501,524,649,282,504,649,451,501,500,800,533,800,649,501,800,282,649,282,502,649,739,649,501,502,800,500,248,649,503,502,800,107,501,500,503,228,500,649,502,502,282,504,749,641,503,500,649,800,503,649,502,501,800,747,502,282,800,807,501,574,282,800,800,501,649,649,282,501,800,500,503,755,501,501,502,502,649,800,649,500,282,800,31,503,750,501,282,503,503,503,502,500,501,500,800,503,501,502,649,800,800,502,282,412,502,800,503,503,16,500,649,501,628,649,649,503,501,500,69,588,502,500,500,649,500,649,800,501,800,500,503,985,652,501,501,282,800,800,503,649,503,649,282,501,649,502,501,649,649,485,64,649,800,502,34,16,503,503,502,500,500,848,649,649,500,649,282,503,503,649,502,282,502,453,502,649,503,16,649,502,800,500,107,503,503,147,282,649,417,649,503,711,800,16,800,500,502,649,502,800,501,503,800,651,502,500,16,532,282,503,808,92,501,649,501,16,649,16,502,502,649,502,501,503,502,705,282,501,800,503,649,504,937,500,502,503,769,502,503,800,103,502,501,107,800,503,500,800,826,629,502,503,282,107,501,500,503,500,501,649,282,282,779,282,649,500,502,500,282,16,282,502,503,800,800,500,502,501,500,16,504,500,500,371,502,649,649,800,876,781,500,649,16,526,649,200,501,865,125,500,500,502,504,502,503,501,649,501,502,800,503,292,454,504,500,503,800,282,503,502,502,502,500,502,500,649,800,503,500,649,92,649,282,396,503,972,503,502,503,502,649,649,649,502,500,504,500,503,502,500,107,500,16,501,282,500,502,503,649,500,503,800,800,800,501,500,502,500,649,16,957,649,649,16,649,501,329,500,800,501,502,352,501,501,500,500,502,503,501,282,502,520,245,502,800,503,502,500,282,282,502,649,502,649,800,503,282,503,282,501,649,697,503,297,500,500,18,500,800,502,502,649,649,500,649,502,500,649,502,500,748,976,500,800,130,502,503,282,501,832,500,501,500,649,282,16,273,501,503,501,649,800,649,501,501,649,502,649,121,503,500,606,107,800,16,502,502,501,800,502,282,649,800,504,500,282,501,16,501,800,500,503,16,501,299,500,502,649,797,759,503,16,503,800,649,649,500,502,800,649,503,282,781,500,502,649,649,270,800,800,155,649,525,503,500,501,500,649,503,502,282,649,502,649,800,800,502,503,500,503,503,12,282,501,800,504,503,16,16,501,800,503,294,649,649,503,282,501,502,680,800,649,503,500,503,649,502,649,282,501,501,503,800,376,500,795,174,649,504,500,16,640,800,649,503,500,503,282,503,500,649,282,16,733,649,800,503,503,500,503,107,501,503,800,282,262,16,282,502,503,502,503,103,107,503,500,503,504,800,800,502,520,800,501,800,827,598,502,241,800,724,503,649,503,800,503,500,800,285,800,649,503,800,800,500,649,282,500,282,503,502,503,502,501,502,500,568,649,16,925,500,503,502,59,649,800,501,649,800,500,649,502,502,501,800,500,800,27,503,501,502,503,500,501,500,500,649,326,500,503,501,282,340,503,282,282,649,649,649,147,119,501,503,800,503,800,649,800,501,418,534,502,502,800,559,501,800,282,503,800,500,500,16,501,501,502,649,16,800,500,800,501,502,649,134,649,502,183,282,500,800,649,649,649,503,502,502,501,649,500,282,503,500,500,800,500,502,800,502,649,500,282,501,800,501,503,16,501,501,800,503,649,282,503,502,502,282,502,501,800,501,501,649,107,954,500,502,282,649,501,649,665,500,649,501,502,16,282,649,649,501,649,500,500,500,107,282,501,649,502,800,16,800,209,500,32,500,804,649,500,800,103,16,800,500,503,502,315,503,501,502,503,502,502,500,649,500,502,502,649,800,822,16,503,501,800,282,408,800,501,500,501,649,500,501,800,501,649,501,649,500,649,800,502,16,503,800,800,501,649,724,507,649,16,282,502,649,649,649,502,502,502,649,504,503,503,501,500,16,282,503,504,800,396,502,500,800,503,502,500,501,503,800,282,500,500,282,800,500,709,500,674,649,649,503,103,503,649,502,502,501,501,889,16,649,502,502,500,502,282,649,743,503,800,649,16,522,961,503,613,649,282,501,107,504,501,503,16,649,502,503,500,504,503,649,800,695,501,504,504,502,501,500,501,500,649,502,21,409,500,500,649,500,503,800,649,800,119,800,649,800,16,282,500,2,502,649,649,800,282,503,800,502,800,800,204,502,500,588,503,800,649,503,282,502,16,800,501,503,282,317,502,282,800,500,501,649,342,501,503,800,805,800,500,649,800,500,501,503,501,501,502,282,649,500,800,954,501,503,821,503,502,501,800,502,430,282,282,503,107,800,800,649,649,800,504,649,503,800,16,502,800,800,142,16,500,501,503,501,800,500,649,501,503,800,16,800,502,16,578,649,501,501,800,500,503,501,800,503,282,500,800,501,501,121,503,501,697,465,800,501,501,503,502,502,800,282,16,503,103,746,16,743,500,502,282,503,503,649,501,501,311,649,503,16,500,501,503,800,800,649,503,777,503,501,500,649,504,502,649,491,800,503,501,501,503,502,501,501,800,282,368,34,502,502,16,500,501,503,501,500,16,551,500,500,800,649,800,501,800,16,380,501,628,504,501,282,665,649,501,107,502,502,501,502,649,500,282,649,502,500,501,649,980,800,800,500,649,503,503,649,800,800,501,503,500,282,501,800,503,503,502,107,282,501,503,503,649,800,800,503,282,554,500,500,649,502,282,503,649,649,800,282,500,500,502,503,502,502,502,502,103,649,500,649,800,503,649,649,800,503,282,501,501,16,282,501,649,500,548,500,800,471,800,19,800,503,501,501,503,503,502,501,502,501,649,502,501,503,501,197,500,98,500,649,649,282,10,503,501,501,649,800,284,346,501,503,282,501,503,20,500,500,649,800,800,501,16,800,503,16,800,107,501,649,500,500,649,500,282,500,503,550,502,649,649,800,501,282,725,500,500,502,649,500,500,649,500,649,500,800,649,800,502,502,500,502,503,694,503,504,649,587,800,500,258,282,978,502,908,107,500,503,500,800,501,624,500,282,800,502,501,500,500,282,705,502,503,800,502,649,367,501,67,503,503,500,363,16,402,501,502,501,649,502,501,502,502,649,503,800,282,500,502,649,503,503,416,16,800,282,501,501,800,502,743,800,501,501,502,16,501,649,272,503,502,500,503,502,800,500,503,819,501,800,501,500,502,502,500,502,503,503,530,501,800,800,502,107,16,501,107,241,504,649,309,800,501,800,501,649,649,503,649,500,500,502,502,501,503,503,800,203,282,107,282,282,500,472,649,500,799,16,800,501,641,501,282,500,501,16,502,503,502,800,501,16,800,800,502,800,80,800,503,503,504,282,501,649,649,503,500,503,800,800,502,502,503,800,314,504,649,500,759,503,502,697,503,503,282,16,502,503,649,503,504,282,503,502,282,501,501,649,500,800,649,501,282,649,500,649,500,500,500,649,376,649,502,16,501,282,500,501,503,503,500,282,649,502,282,502,282,242,649,503,503,738,501,233,282,503,503,800,501,16,705,649,649,800,282,649,649,502,649,81,501,500,501,503,800,229,649,649,504,800,16,649,282,30,800,501,500,649,649,502,16,503,500,928,500,696,649,502,502,501,500,800,649,501,500,335,775,503,649,500,502,502,649,502,16,16,800,282,501,800,500,800,800,501,501,800,452,649,16,800,649,649,500,500,503,503,320,502,800,502,502,503,282,800,502,503,800,800,503,901,649,909,503,282,500,503,800,110,282,800,107,800,649,800,16,503,501,282,800,501,503,625,972,649,800,517,16,501,649,649,282,502,16,199,800,502,503,503,800,502,503,503,649,649,282,502,500,649,502,504,504,500,503,503,502,800,16,503,282,649,282,501,503,500,501,500,4,649,649,282,501,502,306,649,800,649,649,437,282,503,500,800,800,16,732,501,649,501,501,502,800,501,500,500,479,649,685,16,501,89,800,282,501,501,502,649,502,503,501,501,282,800,775,800,501,2,9,649,649,811,500,595,649,222,500,503,649,800,503,649,500,526,500,502,500,649,800,800,800,569,502,501,501,500,282,800,800,500,500,649,500,503,500,800,503,800,500,800,503,501,649,649,502,16,502,501,669,502,649,503,502,431,500,500,503,491,800,282,47,502,800,16,282,503,502,649,800,502,649,282,282,800,649,500,282,264,500,500,876,800,501,503,502,649,107,501,503,649,500,16,800,503,504,649,500,501,800,518,800,501,800,500,649,282,282,503,800,282,800,649,649,800,630,800,297,649,502,649,503,649,502,901,501,500,800,800,282,502,279,649,501,977,502,501,649,501,502,800,500,502,500,800,649,500,16,500,649,502,502,800,83,282,501,649,502,500,913,500,500,800,502,500,16,800,501,687,713,502,501,501,501,595,649,500,800,800,503,800,503,649,501,501,503,800,800,502,502,500,649,737,503,588,502,649,501,649,504,649,649,503,282,503,282,649,800,500,900,503,503,500,502,103,282,502,649,649,103,16,649,190,685,501,500,711,502,503,503,501,503,502,145,800,16,282,800,503,649,649,501,282,282,649,201,800,649,649,649,500,649,502,503,502,502,54,899,500,649,501,649,503,599,282,282,649,502,502,649,502,800,502,502,503,502,282,501,103,800,282,503,282,504,536,502,800,649,504,649,501,649,649,649,800,282,320,800,503,501,501,500,501,431,501,502,800,502,800,501,16,800,649,501,501,503,502,107,285,649,503,282,503,767,501,502,800,502,501,649,502,501,649,282,500,302,500,500,500,623,502,766,501,503,649,500,103,649,282,503,503,16,800,649,75,503,800,502,501,502,502,502,502,501,282,500,282,649,503,713,800,282,649,503,501,501,503,800,503,16,503,503,800,501,800,800,501,800,501,501,260,649,502,406,501,503,800,500,502,649,800,649,649,800,501,32,500,503,501,649,418,502,649,500,501,500,502,501,503,800,107,501,649,501,501,16,502,500,502,503,500,503,107,282,500,503,503,748,503,500,800,649,500,9,502,501,800,649,503,501,502,501,500,502,649,16,943,502,501,172,779,500,501,649,500,649,51,500,502,800,502,501,771,500,502,649,500,501,501,501,502,649,123,284,282,649,282,912,500,504,500,311,649,107,800,503,800,503,282,502,188,649,500,503,649,500,16,282,24,500,649,810,385,725,504,649,791,503,500,502,503,503,502,800,501,503,500,500,649,800,500,502,649,915,503,157,502,649,504,800,454,501,503,16,500,649,649,649,649,800,800,87,504,78,282,627,649,500,504,649,503,800,800,800,800,839,251,500,24,502,503,500,502,501,502,503,649,749,800,282,16,282,500,502,503,800,282,500,649,503,673,649,282,800,503,502,649,503,212,800,500,649,503,501,501,615,649,426,800,503,16,503,502,500,501,503,895,500,502,649,503,649,649,649,500,500,282,714,503,502,16,800,282,800,103,906,502,501,800,16,282,500,875,500,649,501,503,502,649,500,503,500,800,423,503,501,503,501,500,501,504,502,501,800,800,369,504,501,500,502,502,502,282,884,649,835,649,500,282,16,649,503,925,800,504,282,504,500,16,500,649,617,158,502,502,561,501,503,800,504,800,501,503,36,282,649,800,20,800,183,503,282,800,714,501,422,171,503,800,503,502,503,649,502,500,282,800,800,276,282,822,800,501,503,684,503,503,282,503,649,504,502,503,501,16,503,800,500,503,649,282,649,649,282,500,649,800,800,874,503,502,500,626,500,649,101,866,502,422,502,501,502,800,885,649,800,500,282,500,649,649,649,949,15,500,502,715,502,504,649,501,876,649,282,501,503,649,503,500,502,503,501,213,807,503,649,501,502,800,502,103,282,800,800,503,502,503,503,502,501,800,502,800,649,282,649,301,501,501,543,649,503,800,502,800,377,649,500,501,502,503,395,282,610,500,501,107,282,500,502,501,800,500,502,500,500,649,649,16,501,503,502,282,725,503,502,502,501,500,649,501,503,502,385,282,501,502,649,124,649,503,501,282,282,197,282,502,503,500,501,16,282,649,16,501,503,502,649,649,649,800,500,649,503,503,500,912,800,85,500,526,447,649,502,862,500,211,500,896,502,800,500,503,502,649,501,502,282,502,503,800,732,500,800,745,501,503,800,503,800,16,501,504,503,501,500,501,500,649,501,501,166,502,500,501,16,800,282,503,503,502,501,282,800,506,282,107,604,282,501,562,501,503,503,16,800,16,16,800,800,798,649,502,500,500,800,649,803,16,16,500,892,945,800,501,649,649,23,282,649,800,502,503,282,501,649,501,649,282,800,501,16,503,800,503,16,103,503,502,500,500,500,857,503,649,503,500,500,500,500,800,502,649,103,16,698,501,504,501,800,504,649,649,798,710,503,502,800,16,649,500,800,16,502,503,504,649,501,649,500,502,500,282,501,16,501,502,800,502,649,282,400,800,800,649,800,502,502,682,500,123,500,649,501,649,800,800,800,502,649,800,649,649,503,649,502,500,800,800,500,649,327,502,594,501,503,501,800,500,282,800,800,500,502,282,649,282,503,628,649,502,503,282,501,103,800,501,649,649,251,800,282,649,282,502,501,501,282,649,649,800,649,282,282,502,501,800,985,500,500,502,649,100,502,164,219,501,502,500,559,503,500,649,282,649,502,800,502,501,500,282,500,246,649,502,649,500,504,800,500,501,800,501,503,649,502,992,649,800,16,282,501,327,502,500,503,500,282,800,649,649,500,282,800,780,997,649,649,107,502,984,649,503,800,503,649,501,282,501,282,503,49,583,570,500,800,501,501,500,500,16,502,503,502,649,502,800,649,501,654,501,503,800,503,500,504,649,649,502,502,649,501,503,503,503,501,865,502,630,501,502,800,500,800,502,765,282,800,500,503,649,500,649,503,282,800,107,503,283,501,83,649,501,649,501,800,501,376,501,501,502,800,649,502,503,501,500,503,500,282,503,500,500,649,800,649,501,800,800,649,502,649,501,107,103,625,909,503,800,502,282,649,16,810,282,502,425,649,501,501,649,282,800,502,282,66,501,649,501,800,503,500,504,501,618,282,16,503,503,649,282,500,282,501,282,502,282,282,633,502,503,591,800,800,649,800,503,632,502,282,503,649,410,502,501,800,282,199,705,500,500,16,649,800,282,503,500,649,16,501,282,500,502,501,381,800,811,500,259,503,501,503,800,500,800,627,282,800,800,500,501,500,16,503,502,503,16,649,504,800,331,500,16,800,502,500,503,500,649,649,800,502,766,16,500,800,800,282,107,502,302,800,501,501,501,800,282,503,500,500,649,193,503,503,501,649,800,800,800,656,500,500,502,501,887,549,361,501,501,503,502,72,282,649,282,649,615,501,501,282,500,502,649,626,232,800,501,130,649,501,502,501,282,319,501,502,500,500,501,503,800,501,800,504,503,800,500,800,500,503,687,503,626,501,502,800,800,500,502,107,500,800,501,649,282,800,800,16,800,800,800,501,649,503,562,500,282,501,649,282,399,504,501,502,649,501,503,197,501,649,501,501,800,800,501,501,649,500,649,503,16,500,503,282,501,502,503,16,649,503,800,440,800,133,649,85,500,503,502,502,502,580,501,503,16,649,282,107,503,504,502,501,649,649,503,807,649,649,503,502,503,279,501,501,500,500,815,502,705,503,500,800,282,659,503,800,16,501,503,503,500,502,502,649,615,649,282,504,705,503,503,502,920,16,502,282,800,547,649,502,604,502,501,282,502,501,502,34,800,649,276,503,800,500,502,800,501,103,501,800,501,282,800,503,16,502,282,800,418,500,649,502,800,800,800,800,501,502,282,282,16,295,649,94,962,501,800,662,503,800,501,503,502,500,800,649,503,503,500,940,800,500,282,649,16,800,501,503,69,800,800,649,649,501,503,500,501,289,16,308,503,502,502,723,282,500,501,503,500,787,890,502,800,503,501,800,502,501,649,502,501,649,367,502,649,503,649,502,500,160,500,500,503,800,426,63,358,503,501,502,687,504,501,950,649,502,282,503,503,500,500,16,500,800,282,501,503,502,503,503,282,800,800,503,500,503,282,649,501,800,800,503,584,800,649,503,503,800,282,640,516,501,501,607,649,502,500,649,502,800,40,501,649,502,800,282,759,503,502,502,502,501,503,800,501,649,503,503,14,501,619,502,800,501,282,500,500,503,503,502,555,103,503,800,500,502,649,503,501,502,903,649,649,502,503,503,503,16,649,800,501,649,503,500,800,501,972,501,649,503,502,503,798,195,500,800,800,800,649,649,500,501,501,503,16,503,245,502,649,500,671,501,282,502,800,649,282,605,782,500,500,649,503,16,501,500,503,503,501,913,807,500,800,649,649,503,502,800,282,649,248,502,649,502,502,800,649,649,649,500,800,649,502,951,100,198,501,502,800,800,511,502,282,649,503,501,16,553,501,800,503,800,503,48,800,503,800,500,501,991,501,107,800,500,500,800,800,800,502,150,501,649,502,13,501,282,500,800,503,503,649,282,641,649,503,500,649,282,282,800,16,282,501,503,816,500,649,500,16,502,500,649,718,503,501,649,351,800,800,649,282,502,501,282,649,282,503,500,500,502,649,16,501,502,500,649,502,642,649,649,649,563,649,503,503,503,175,502,282,503,500,500,503,500,990,503,649,282,649,500,501,502,502,501,503,502,800,502,504,501,649,800,649,503,282,800,500,503,649,526,649,502,503,502,649,649,500,262,500,500,501,443,503,491,503,502,500,649,649,503,502,800,649,282,503,62,502,501,503,500,502,503,649,500,16,501,503,800,907,502,705,831,282,503,503,503,502,501,527,953,649,503,482,800,649,503,282,800,503,500,335,800,649,501,800,503,500,164,649,502,503,800,649,800,500,649,502,501,800,503,501,649,694,500,502,503,16,502,16,649,649,649,503,103,503,503,811,500,500,509,649,800,500,501,16,649,649,500,500,649,501,194,649,503,501,800,772,873,500,767,500,800,503,282,649,500,800,500,500,69,649,500,800,282,282,800,656,282,501,501,503,500,501,649,800,503,282,649,649,993,502,500,16,501,800,503,800,649,800,282,500,325,501,503,649,600,503,649,501,500,649,800,500,501,501,800,503,502,502,408,503,649,503,800,501,16,502,502,504,800,500,649,163,503,501,500,700,282,616,649,705,16,37,501,102,502,800,501,501,503,800,649,501,282,800,500,103,501,649,649,504,828,501,502,500,502,501,649,500,649,503,649,649,502,502,500,501,503,501,649,800,649,501,649,502,501,500,501,502,282,649,688,800,502,649,195,501,500,503,500,282,502,649,800,501,504,649,92,800,501,107,503,781,502,501,649,503,800,503,501,800,500,501,503,503,501,649,503,501,822,207,502,501,649,504,504,501,501,502,503,800,501,912,501,800,502,649,649,500,800,649,649,649,800,500,649,501,649,500,649,35,649,649,501,500,502,887,649,501,800,502,800,649,764,385,503,500,649,649,502,282,425,282,649,503,502,502,282,480,502,502,136,57,800,649,800,282,502,107,16,502,800,649,674,500,501,287,419,309,502,16,500,800,800,800,501,501,502,800,501,503,500,340,282,649,800,16,502,501,800,501,800,503,800,282,282,502,501,649,990,502,503,501,800,503,649,504,502,502,800,224,800,800,10,649,501,501,500,503,16,649,649,16,500,501,503,705,501,649,649,501,800,649,649,776,649,501,649,963,800,282,503,501,800,973,500,800,501,800,502,502,500,501,503,502,502,282,282,282,800,800,500,565,501,800,298,501,967,501,501,345,503,500,503,185,649,93,501,649,282,504,570,503,503,800,501,649,501,800,504,503,649,501,649,501,501,501,500,501,423,501,800,503,800,649,282,800,46,502,467,649,250,193,503,500,649,501,85,501,649,649,502,500,502,502,282,649,501,649,50,500,503,501,502,107,649,107,500,754,282,503,16,503,502,649,251,502,503,16,501,502,502,501,503,660,737,239,501,500,501,500,282,502,282,10,500,500,282,502,102,503,500,502,100,800,282,282,503,500,282,503,502,649,649,503,572,460,500,500,504,501,649,503,800,282,282,103,24,282,282,649,500,502,502,649,800,501,800,501,821,649,501,503,500,500,500,800,503,500,172,503,501,800,300,500,649,285,500,649,800,800,800,503,502,500,502,504,502,800,501,649,503,501,457,501,503,929,347,500,501,501,501,616,940,649,16,500,501,504,501,500,649,649,501,800,649,502,649,282,501,503,501,502,800,503,800,696,502,501,503,503,282,649,624,503,503,500,502,500,503,346,500,500,649,649,501,502,800,502,800,500,503,501,800,503,649,800,282,282,503,504,503,800,282,501,502,500,124,800,800,500,800,500,500,504,503,500,500,501,502,649,282,649,502,800,800,321,649,85,503,800,892,404,838,501,544,500,16,649,800,501,282,502,282,925,800,500,502,500,282,501,649,436,800,649,649,502,840,800,500,649,502,500,500,504,503,500,502,800,500,501,502,501,500,787,503,502,553,500,504,800,649,500,649,282,501,621,107,502,649,800,800,503,649,503,500,500,501,500,500,501,501,502,502,800,501,282,800,344,500,502,800,503,501,502,800,800,103,800,501,649,500,282,503,500,501,503,502,502,503,649,689,800,502,649,503,500,800,502,649,503,502,800,500,503,649,800,502,501,500,649,649,503,503,501,501,504,503,501,518,800,503,502,502,501,871,503,649,282,501,800,502,501,549,500,504,500,800,501,227,282,800,848,16,501,502,500,503,649,282,503,503,500,500,500,501,800,503,800,649,800,502,649,931,649,500,800,502,800,503,502,649,500,502,282,800,500,503,282,282,282,857,500,504,649,501,502,649,649,638,503,375,649,13,500,503,282,502,500,504,705,649,649,282,500,800,227,501,800,503,500,503,503,504,800,502,649,502,800,500,649,800,223,649,500,500,16,800,500,649,649,300,800,502,129,500,282,282,649,282,649,500,800,800,800,800,312,501,500,282,503,649,502,16,501,503,800,578,503,947,501,500,649,502,501,503,649,500,800,503,500,504,649,800,982,502,649,501,502,503,503,502,800,649,502,800,502,849,282,500,800,501,16,500,649,503,503,502,16,649,649,800,501,649,501,502,649,500,167,500,500,502,16,502,501,282,500,649,503,500,649,503,649,282,502,800,649,502,800,96,800,501,282,501,800,14,320,282,688,504,800,501,500,501,800,503,282,800,16,501,649,800,503,500,649,800,501,500,649,502,500,503,208,649,501,500,501,500,649,282,800,500,502,107,800,649,501,649,649,502,500,800,501,800,500,554,933,16,592,501,800,800,820,503,501,868,500,503,500,800,282,502,23,501,284,649,500,800,500,16,649,502,500,800,501,649,501,16,649,500,503,800,503,649,649,282,500,503,501,501,282,150,282,282,500,502,500,649,649,503,248,501,500,501,500,500,649,500,500,984,649,502,579,800,502,501,502,500,649,880,282,502,503,500,503,502,502,502,800,501,649,649,800,504,800,500,502,800,649,16,500,649,16,800,501,649,500,501,649,500,31,608,503,649,500,504,503,649,282,503,800,649,800,502,502,502,502,649,500,500,500,502,800,500,800,501,501,500,501,500,502,500,502,340,321,800,800,649,502,503,670,500,503,649,649,214,501,500,501,282,502,800,800,986,503,800,500,501,800,503,501,500,649,500,501,502,501,800,225,304,500,90,282,500,501,502,501,500,502,502,502,800,503,282,500,282,500,502,800,500,500,60,998,649,649,500,502,500,649,488,503,16,649,502,282,282,500,502,500,501,683,501,800,500,601,800,502,503,16,503,502,503,504,729,800,649,800,800,649,202,500,500,649,649,502,502,649,503,282,501,649,502,649,502,503,503,800,800,582,800,500,16,800,502,800,914,501,501,282,503,800,500,609,282,503,282,800,501,282,282,502,501,501,503,16,282,503,800,649,502,502,500,282,800,16,502,501,16,800,649,503,107,503,504,501,503,649,500,16,800,708,282,503,800,800,800,501,649,502,502,649,719,610,504,800,501,503,282,649,649,913,282,800,598,500,93,502,282,502,502,500,501,504,107,500,308,503,500,649,643,649,500,197,262,502,800,502,500,649,649,649,502,73,184,800,503,170,649,500,498,16,500,282,800,501,503,503,500,800,501,501,501,502,649,649,800,282,931,884,501,503,649,501,800,500,800,502,501,649,199,800,502,503,502,800,504,800,800,504,795,649,502,503,649,501,502,800,502,282,504,800,504,503,800,503,500,649,502,282,649,501,282,800,503,282,500,501,800,503,500,282,500,502,500,502,649,503,502,800,503,197,500,500,16,649,503,503,649,501,649,502,503,800,800,800,503,501,800,800,501,800,649,649,502,504,503,16,500,502,500,504,502,800,649,504,789,502,800,590,649,649,503,502,502,502,904,649,800,649,502,500,460,604,649,16,107,965,282,103,649,502,649,500,800,16,500,501,800,500,16,339,350,282,282,800,501,282,501,501,649,501,282,101,501,503,978,282,282,501,500,504,649,502,501,649,503,500,280,352,500,201,282,501,503,503,503,500,649,502,800,282,649,502,800,503,282,649,800,800,800,504,282,502,501,282,502,103,502,502,832,500,800,501,800,503,504,649,503,725,282,649,501,503,502,504,503,500,2,649,800,501,500,800,502,500,502,503,288,500,800,500,500,501,649,478,800,649,649,282,503,500,500,502,502,800,500,16,3,502,238,500,500,127,500,800,649,500,282,502,500,16,649,800,800,649,501,800,800,282,503,282,438,800,16,500,282,501,692,502,282,308,705,502,282,800,282,800,502,501,501,502,649,502,901,649,503,626,282,500,800,649,502,800,501,649,503,500,16,107,502,500,1000,146,108,500,649,813,282,500,282,500,649,503,40,282,501,502,344,649,654,800,800,502,415,500,649,501,502,16,500,503,276,800,800,502,282,504,500,501,282,503,510,502,502,787,99,502,502,649,649,504,502,115,313,503,394,501,502,501,501,16,16,282,800,800,503,503,649,892,501,296,800,649,500,502,16,501,643,800,800,800,501,599,500,282,649,501,282,800,169,503,502,282,502,504,500,503,649,528,503,502,500,500,282,503,501,504,503,282,500,800,800,282,502,793,501,282,649,551,501,501,501,503,558,502,11,415,501,800,649,501,503,500,501,16,500,282,282,16,649,649,800,649,203,927,605,502,502,500,500,502,501,800,502,502,13,504,649,502,500,800,503,911,800,500,502,510,500,501,16,398,282,501,501,501,503,649,830,503,649,501,649,503,800,500,800,800,282,501,501,649,501,649,503,500,282,501,500,503,504,500,649,800,659,989,649,502,502,663,500,503,800,16,800,649,500,649,500,500,501,800,36,501,649,649,500,800,502,501,649,16,501,502,800,16,504,500,16,649,501,800,649,649,649,500,649,585,649,502,800,503,724,502,800,649,500,282,502,501,649,800,501,502,500,502,800,174,502,503,649,800,649,800,502,138,15,500,503,103,500,503,800,800,649,282,501,800,358,501,800,23,500,800,503,107,649,501,503,800,800,504,500,282,282,503,357,501,502,376,502,649,800,800,500,500,800,508,860,282,29,800,504,282,800,503,282,800,649,282,502,501,733,501,282,500,500,503,343,778,502,800,800,800,500,649,282,501,503,800,502,501,501,409,501,502,503,800,502,502,91,502,503,500,500,282,503,800,649,501,800,649,282,649,502,649,502,501,502,500,501,503,502,503,502,918,502,500,649,282,16,800,16,800,502,501,502,502,500,503,502,501,435,502,16,502,181,503,16,501,500,649,502,107,649,501,503,502,800,502,282,502,912,502,501,500,503,501,501,502,800,179,800,502,503,502,504,16,40,501,16,500,649,503,503,502,502,282,909,673,501,929,282,501,649,500,502,503,500,503,512,501,500,502,501,649,72,500,503,16,800,800,503,282,16,503,502,502,800,503,282,649,500,649,950,500,649,16,247,500,503,503,649,800,501,800,16,391,501,800,23,800,501,513,501,649,501,502,16,502,503,649,504,16,503,65,53,503,503,502,501,503,649,501,503,800,503,800,503,103,500,282,800,800,398,800,501,501,503,501,649,503,503,649,501,800,141,800,500,649,501,166,16,187,705,282,503,800,663,649,503,501,282,501,800,649,502,800,501,502,503,800,16,813,649,504,91,502,16,107,502,649,501,502,800,107,16,182,501,502,649,504,500,501,649,649,500,95,210,107,502,805,502,705,502,649,649,503,16,501,502,502,500,649,502,502,501,800,800,500,794,503,800,501,501,649,429,649,800,501,107,502,501,800,502,500,502,282,800,501,503,501,390,501,800,501,282,502,800,501,282,800,501,800,502,503,282,464,501,800,502,16,502,501,649,500,214,501,800,503,503,500,500,500,501,16,692,953,649,282,503,503,501,649,502,500,500,503,502,501,649,800,502,442,502,500,502,504,500,503,502,500,103,924,649,122,483,282,649,649,501,400,503,800,800,143,501,501,503,282,501,800,107,282,500,501,807,503,234,800,501,800,989,800,503,503,649,649,16,501,800,16,820,502,649,500,282,502,502,649,800,501,649,336,674,282,800,649,282,501,292,500,501,500,501,503,649,500,649,501,649,282,282,800,502,501,790,502,282,502,649,649,439,282,165,16,649,649,562,649,502,500,502,501,503,649,40,500,800,731,503,501,731,500,503,502,502,500,820,502,500,16,501,958,800,502,16,649,282,16,649,744,501,500,532,649,107,49,500,100,501,800,800,800,500,504,501,649,282,282,393,107,800,500,501,503,501,556,500,501,501,282,800,649,502,282,282,503,441,502,991,501,502,501,502,502,430,500,649,500,501,241,16,543,649,503,503,282,500,500,282,282,503,161,282,800,503,501,503,800,649,502,501,500,800,800,502,500,926,504,502,282,800,800,175,502,503,649,502,649,649,637,501,649,500,502,502,502,503,800,800,500,500,649,503,649,800,503,501,501,500,649,503,107,800,501,502,596,800,384,500,503,500,16,500,502,500,583,649,500,431,126,817,501,16,265,16,649,502,500,500,282,282,503,503,16,503,500,500,282,649,282,800,800,649,800,502,502,503,502,649,503,800,649,214,649,800,282,502,282,502,800,641,649,500,800,649,800,103,500,500,107,501,500,649,800,502,107,180,282,649,800,502,501,501,502,649,282,800,800,502,282,800,435,503,502,649,103,502,503,649,504,16,500,503,500,282,502,503,800,800,501,969,503,649,500,800,503,649,800,800,503,800,503,500,282,503,800,501,503,503,800,16,282,800,649,502,800,503,282,649,503,736,502,899,655,649,649,649,800,502,649,502,800,501,502,16,519,501,649,500,649,107,909,500,500,500,800,649,501,500,649,500,501,501,649,51,649,103,500,503,501,503,282,649,501,649,282,649,500,503,800,282,503,502,282,649,922,501,200,800,502,16,800,800,504,503,649,208,500,587,282,503,282,386,649,503,16,808,282,500,282,501,282,16,649,286,800,502,502,504,502,649,501,503,503,114,501,502,500,502,504,421,502,501,501,649,500,669,649,800,500,504,501,503,649,500,901,800,649,504,502,503,649,503,501,501,500,500,649,502,650,503,649,800,800,649,16,861,800,16,705,500,502,487,502,502,502,800,800,500,503,404,649,501,500,649,500,131,503,500,800,501,500,649,500,810,800,16,107,500,503,502,649,503,503,800,500,800,502,800,503,690,502,500,502,807,500,501,502,501,16,282,500,649,800,500,500,500,501,502,16,501,503,800,800,800,500,649,501,282,649,649,502,503,243,148,500,502,800,649,649,503,800,501,176,502,158,501,500,649,800,502,504,500,800,503,503,503,503,501,481,901,502,501,502,503,16,500,503,819,500,5,649,649,649,500,16,649,503,502,501,282,126,500,800,800,426,800,501,800,107,502,649,485,500,649,649,502,500,282,800,800,974,502,800,503,485,800,141,649,649,503,347,800,501,500,501,282,501,649,500,282,502,502,16,705,606,500,649,649,800,503,800,502,970,649,282,16,16,502,268,503,903,282,100,649,503,649,649,800,649,503,649,500,76,502,503,503,800,501,503,503,500,757,501,16,16,504,800,500,309,649,649,500,504,503,115,500,501,502,503,502,502,500,800,504,500,501,502,503,649,948,736,500,282,500,649,282,800,649,800,503,504,649,282,503,500,282,503,502,501,503,369,502,503,501,503,503,501,502,649,800,502,501,649,649,347,503,502,800,800,427,800,800,500,500,503,500,649,800,107,649,282,502,502,945,502,502,501,282,503,503,502,987,504,800,501,501,800,503,999,503,615,649,502,502,502,649,649,501,502,503,16,649,759,502,501,502,500,960,151,649,649,800,800,649,348,649,501,500,649,16,503,800,282,649,800,580,16,503,800,502,764,502,500,16,649,26,502,191,371,504,800,502,501,502,502,500,800,649,282,502,501,282,103,800,503,103,103,800,504,503,503,501,500,502,16,502,800,503,503,260,800,800,282,441,500,282,282,503,800,501,282,649,500,502,649,915,503,503,649,800,361,500,797,501,501,503,501,502,800,501,980,16,282,502,502,765,649,500,282,800,500,800,649,503,501,501,649,502,500,649,503,501,649,803,502,800,502,649,398,16,500,503,502,503,502,649,502,502,501,16,502,503,800,503,574,73,800,501,649,16,800,500,503,649,502,501,649,502,649,800,822,500,503,502,501,502,16,503,504,501,500,503,503,800,501,502,501,800,503,504,800,200,501,282,500,370,630,502,502,800,649,649,501,800,282,503,503,439,502,44,649,501,933,649,705,160,649,394,92,800,500,649,150,500,848,282,502,649,576,649,16,501,500,502,363,503,500,502,282,282,502,205,502,649,553,502,103,800,649,500,502,500,502,282,501,501,500,649,503,649,501,649,503,800,302,501,649,501,501,800,502,800,800,649,501,800,674,503,501,500,502,282,503,649,501,649,800,282,500,649,501,502,501,503,503,107,800,502,502,649,502,649,934,97,502,649,903,500,649,282,649,502,502,503,107,501,800,800,503,649,503,501,502,800,501,502,965,105,282,500,649,501,761,503,501,502,649,500,236,502,282,502,500,503,800,502,649,502,800,577,282,503,519,503,500,500,16,501,503,500,326,800,800,500,502,500,960,501,282,502,500,107,504,347,16,501,649,500,502,649,501,501,500,282,502,282,501,500,649,500,16,502,800,501,282,502,503,502,800,502,16,16,800,282,841,672,475,500,107,800,503,16,649,502,16,569,502,16,502,502,501,800,649,16,800,611,800,649,282,502,500,649,500,800,649,366,16,800,800,503,649,500,800,649,502,649,800,716,649,649,800,500,501,500,500,501,500,504,503,967,502,649,800,500,649,501,16,500,503,500,502,502,649,649,800,800,441,503,503,177,504,501,100,500,503,649,77,649,800,500,503,16,649,800,16,800,649,112,503,503,800,503,800,107,502,503,503,501,503,503,16,800,502,502,500,649,282,503,902,16,503,800,500,649,282,503,282,502,16,503,649,503,704,503,502,16,649,649,502,501,500,649,502,504,649,500,107,649,500,800,504,503,500,502,500,603,800,501,502,500,114,800,502,500,502,282,501,501,649,844,502,948,501,501,502,800,282,501,649,501,500,649,282,500,503,649,705,501,504,649,800,501,500,649,800,281,500,282,800,502,129,500,504,503,502,501,503,502,500,58,503,800,501,800,500,800,501,870,500,501,800,502,501,705,800,290,503,800,502,500,800,501,800,16,800,800,500,502,502,649,502,502,649,649,500,503,282,800,502,500,502,501,501,282,800,800,503,500,178,502,503,501,649,466,590,502,503,500,503,502,503,800,800,502,800,501,503,562,502,503,649,282,502,16,800,502,800,500,461,583,649,863,503,282,800,291,249,502,503,502,500,649,282,502,503,282,642,510,886,502,501,651,800,800,800,502,800,712,649,649,649,502,500,501,500,501,502,504,503,500,503,501,649,500,649,282,363,800,649,98,519,800,502,713,649,608,649,649,16,503,800,705,502,800,500,282,800,500,282,800,649,503,622,800,501,501,500,501,282,502,649,649,649,649,503,502,800,807,79,501,571,298,282,500,649,502,448,503,502,649,911,694,103,649,800,800,500,649,501,800,500,503,500,500,282,501,282,500,502,649,503,103,501,501,502,503,503,500,502,502,649,649,500,282,800,500,501,501,503,800,282,501,810,502,501,500,103,649,649,649,502,503,649,649,954,649,504,800,649,536,503,800,649,502,649,502,500,282,649,503,503,503,282,501,502,503,500,16,649,800,800,649,503,502,282,502,649,649,501,944,282,800,372,500,501,503,282,502,649,800,501,649,649,502,282,649,501,649,500,282,649,282,649,502,501,800,502,500,530,649,500,103,500,800,821,500,107,503,849,282,800,269,501,282,503,501,93,800,502,502,501,649,503,649,800,501,399,503,501,501,649,649,504,503,502,501,800,800,501,501,649,500,436,800,282,500,501,501,502,649,503,500,649,500,501,265,503,800,649,548,649,500,503,649,500,502,502,649,800,282,800,500,789,500,501,503,502,500,501,800,649,500,501,592,500,502,503,503,800,649,503,649,503,16,800,501,500,649,649,649,500,500,502,500,800,500,503,502,649,504,672,800,500,800,501,503,503,500,502,800,501,282,501,649,503,502,500,502,500,16,992,500,107,683,500,501,649,503,649,282,16,500,282,500,282,649,500,500,501,649,282,649,502,501,649,649,800,500,282,503,935,649,282,502,16,500,502,800,649,364,649,239,500,504,649,372,500,503,502,282,649,503,500,107,282,502,800,103,16,282,501,889,282,100,282,502,741,800,649,503,16,800,501,500,282,503,282,492,800,502,500,107,502,500,800,649,518,649,410,107,503,649,16,500,501,289,501,503,500,303,16,282,500,502,502,800,500,503,649,800,501,503,800,501,503,649,588,800,822,800,649,107,501,800,503,800,502,530,500,800,649,800,800,817,649,282,582,282,649,343,500,649,500,649,800,649,503,504,282,500,103,800,501,282,503,500,502,800,502,649,501,16,800,817,236,728,503,503,649,504,995,649,500,649,649,203,502,502,857,159,800,282,282,649,503,364,502,500,16,282,502,800,502,649,488,503,625,503,649,800,649,501,628,16,502,16,502,501,500,800,503,502,503,107,16,501,501,944,500,503,501,503,16,501,500,649,705,501,649,502,502,501,800,800,282,597,598,500,502,502,800,649,503,502,504,16,500,501,503,649,842,649,800,649,649,672,282,501,800,500,800,664,503,800,800,282,501,800,501,503,501,872,502,649,501,500,561,503,282,503,566,16,649,800,800,800,282,502,825,282,501,502,500,649,800,502,239,500,649,501,649,800,502,715,800,501,500,500,504,502,998,500,800,501,800,501,800,107,786,501,800,282,244,558,800,716,649,800,16,800,800,16,501,454,649,800,168,501,649,800,191,282,649,502,501,503,649,500,965,502,502,503,501,794,501,500,454,649,16,800,500,501,282,500,503,501,501,282,501,502,502,502,503,502,502,501,503,447,649,504,500,502,800,649,503,649,800,649,502,500,503,585,649,501,503,501,511,500,282,503,502,502,282,282,503,649,500,649,649,619,500,503,649,800,800,502,800,502,282,500,800,500,649,503,649,503,494,649,502,501,500,501,502,800,649,800,800,501,649,16,705,501,502,500,502,649,501,501,503,501,800,503,503,501,500,649,501,502,503,16,503,282,501,649,649,502,501,501,500,649,389,800,669,502,649,500,800,16,502,800,501,282,107,500,500,800,705,800,649,282,282,504,16,649,500,649,800,800,800,502,502,500,500,500,282,503,501,282,503,676,800,500,503,282,649,500,500,446,361,502,995,282,649,502,519,932,501,501,282,649,649,501,501,649,282,800,503,501,649,501,500,503,503,502,500,282,282,800,649,16,282,503,800,705,770,800,664,500,543,500,16,649,705,16,500,500,649,502,503,16,500,502,502,503,649,649,282,501,103,763,502,120,501,502,502,500,282,300,503,649,282,649,503,500,503,800,32,503,503,800,673,503,502,704,502,500,502,609,501,504,500,501,503,800,500,800,649,645,282,501,807,501,503,503,800,500,800,800,501,16,16,501,800,228,500,500,503,501,103,500,649,695,16,16,282,500,503,502,649,502,503,800,649,503,282,502,501,649,500,800,502,204,502,873,501,129,500,501,742,800,282,500,503,800,649,502,649,16,502,503,282,996,502,501,754,103,649,238,649,649,649,502,502,845,502,585,7,502,888,520,503,649,800,282,670,649,502,3,209,649,649,466,649,751,800,800,500,501,282,500,800,500,800,649,504,800,211,504,800,807,282,502,16,800,16,501,282,500,800,502,502,983,649,796,649,502,282,502,500,503,800,796,649,501,501,500,503,649,501,500,502,16,649,503,640,502,906,649,800,503,16,980,501,800,800,673,502,504,501,502,502,503,503,500,504,282,503,282,649,503,500,503,500,502,800,282,649,503,501,502,800,501,500,649,500,500,649,820,500,788,502,503,500,500,649,800,800,503,501,501,16,649,503,596,500,501,742,501,503,501,503,503,978,500,502,4,800,501,500,649,502,699,500,501,501,500,502,16,16,800,504,502,503,500,500,945,503,502,649,503,503,800,800,502,502,501,504,378,503,800,800,501,800,763,649,501,503,503,649,502,501,500,487,971,502,800,504,807,649,502,649,500,319,103,501,504,282,500,282,500,501,503,501,983,102,800,282,556,649,502,649,800,500,705,504,501,244,500,800,501,91,16,503,649,503,501,800,503,500,649,502,649,500,502,500,500,501,500,90,501,503,800,503,649,503,501,500,379,500,500,282,501,282,502,649,282,500,500,800,902,501,501,503,282,649,504,16,800,501,649,500,838,800,501,603,800,503,502,649,503,503,501,501,500,503,502,916,503,649,502,16,800,500,649,500,649,503,502,502,330,761,800,649,800,502,503,501,502,282,500,501,500,500,502,282,93,800,503,501,502,502,503,393,800,652,649,59,381,500,738,501,649,971,503,504,504,501,502,282,649,500,282,503,649,502,800,282,107,501,503,502,649,800,501,500,500,872,503,500,501,627,501,501,502,728,16,282,500,282,649,766,16,979,503,883,503,929,800,500,501,649,649,501,501,500,800,500,502,501,649,800,282,958,802,16,500,502,649,503,16,649,500,501,800,483,502,282,500,500,500,503,501,500,649,100,503,16,503,503,501,16,500,501,502,501,502,649,649,500,500,800,16,503,503,800,649,501,800,502,500,182,503,976,282,500,501,800,649,503,194,842,500,501,16,282,502,500,501,502,501,502,500,800,502,503,500,800,500,552,649,800,229,501,230,857,800,990,800,501,501,500,503,501,800,16,502,500,800,501,503,502,800,500,800,288,502,503,501,649,649,503,800,502,282,800,963,925,649,500,649,501,503,800,16,818,18,503,502,16,500,503,501,800,500,503,716,40,553,649,800,16,604,800,503,500,501,500,705,502,502,217,502,800,16,503,501,500,93,502,800,282,591,800,503,500,107,500,788,503,800,800,622,503,649,503,649,16,500,502,500,500,282,800,649,397,501,500,502,501,649,503,800,732,503,534,649,282,501,649,368,800,503,698,16,500,649,649,649,503,800,500,501,282,500,502,502,800,800,501,500,501,501,501,705,503,502,500,282,502,503,504,536,500,649,501,780,503,800,501,500,501,501,800,800,500,649,503,649,962,503,503,807,500,503,800,576,649,649,501,800,503,649,503,500,503,501,796,649,501,500,649,502,500,501,282,502,282,282,502,501,502,649,282,681,194,800,502,501,503,503,649,282,500,500,932,649,677,500,502,502,500,501,800,800,503,282,502,649,800,500,502,665,421,502,501,500,35,800,500,282,800,45,500,613,282,800,500,502,502,503,501,501,800,502,501,426,502,503,761,501,501,649,502,800,282,500,503,649,500,800,649,503,501,501,800,649,282,16,800,800,500,502,502,500,649,16,800,500,800,501,501,502,501,282,500,502,501,800,501,503,500,502,501,501,502,500,800,16,800,282,501,500,824,502,501,282,649,503,500,501,705,465,649,503,649,502,649,503,218,649,501,501,170,502,649,159,500,500,502,16,500,501,500,503,107,503,800,501,503,800,649,282,503,649,800,426,502,503,503,503,500,488,925,500,800,800,282,503,649,503,501,501,282,502,502,87,501,800,800,800,534,500,500,282,107,501,500,16,282,836,501,800,649,649,502,800,649,500,502,502,800,503,501,960,502,501,282,687,503,649,501,16,503,866,503,500,500,649,501,800,500,500,503,16,503,960,436,502,282,715,800,649,502,282,503,282,503,866,282,502,503,500,503,500,501,800,282,800,502,501,107,502,649,649,800,501,107,649,800,452,157,649,249,501,282,282,711,649,503,310,503,800,500,501,800,501,501,944,649,800,282,649,800,500,16,500,500,800,800,501,501,500,36,649,800,501,502,800,800,503,501,282,500,501,503,892,800,502,500,649,501,503,501,503,649,649,501,500,502,504,501,649,502,501,800,502,649,501,501,350,503,500,457,502,863,503,800,781,800,649,649,107,503,800,502,501,503,16,649,503,16,500,500,800,729,501,503,649,503,65,500,649,800,500,503,501,502,16,501,282,649,649,324,94,649,942,501,441,800,500,502,16,107,649,649,503,503,16,503,502,649,500,503,503,501,502,501,503,649,800,500,649,502,503,500,503,501,500,500,501,502,649,585,503,500,500,502,501,502,800,502,282,16,800,502,503,501,726,503,501,987,500,800,500,649,502,501,502,800,502,504,107,800,649,502,800,649,502,282,282,501,275,800,502,649,967,500,500,502,502,501,800,502,282,800,800,501,323,800,503,500,502,502,800,456,282,501,501,501,800,504,649,500,649,16,649,649,502,502,500,503,649,590,282,800,991,502,16,500,502,503,72,800,800,500,502,649,800,800,904,500,501,649,282,322,282,502,649,501,800,502,501,500,502,502,16,649,649,282,500,649,649,649,282,282,501,503,500,649,282,500,503,502,503,503,800,649,16,649,502,500,800,558,501,800,502,800,649,800,16,649,282,503,7,502,501,649,500,503,500,501,502,282,501,649,500,649,500,504,503,800,800,497,282,396,649,503,501,282,800,107,603,711,282,500,800,997,500,282,800,282,503,502,500,501,501,502,350,107,502,649,649,502,500,501,503,503,800,282,800,800,16,230,500,16,500,282,503,500,649,500,16,800,501,503,504,503,503,282,503,500,800,502,37,503,500,14,503,571,282,504,500,649,502,500,503,924,649,649,503,501,800,502,16,501,649,503,503,501,942,778,501,502,503,649,649,301,501,800,501,16,503,500,16,503,631,866,800,373,800,649,800,282,502,500,501,649,503,503,504,503,16,16,501,501,502,503,800,649,504,649,649,649,800,503,503,800,649,800,649,649,503,503,800,500,800,282,649,800,800,501,282,500,800,649,501,308,400,800,800,837,500,502,503,282,501,500,503,705,649,197,649,500,504,503,98,107,502,501,800,502,501,503,503,503,861,800,15,501,501,500,502,649,501,501,800,103,502,649,503,649,649,800,209,502,503,737,501,503,504,502,800,649,790,503,282,734,800,501,649,518,191,649,501,649,649,282,502,502,282,503,503,503,16,500,501,556,503,500,649,503,649,800,642,503,649,502,501,800,503,326,649,502,502,500,500,800,800,503,282,501,501,107,501,282,649,503,282,258,800,705,649,501,191,458,500,282,501,800,500,649,282,649,649,501,502,500,103,27,282,46,504,503,501,800,16,795,8,800,208,623,800,469,652,16,502,500,800,649,501,502,649,501,503,282,500,503,649,501,282,500,800,500,503,800,501,16,649,503,800,502,16,503,851,601,16,800,500,800,282,503,649,503,100,221,501,500,502,501,16,503,500,500,649,500,151,800,502,800,282,500,800,649,502,500,183,502,957,501,500,800,267,800,503,103,891,503,807,282,649,503,649,501,467,500,501,282,649,500,800,502,500,800,503,501,625,501,800,501,800,800,501,282,502,502,500,500,645,502,503,500,501,500,649,502,772,800,800,501,500,103,800,503,502,800,16,500,649,103,513,501,501,501,501,649,843,522,503,800,464,800,316,501,500,501,282,282,800,502,800,449,500,503,501,282,501,800,503,649,800,502,649,585,500,649,649,503,500,316,54,800,649,649,144,282,800,503,502,503,502,501,800,502,800,276,502,503,502,800,800,500,503,282,502,207,503,800,800,500,198,282,107,800,649,503,649,503,500,282,501,649,503,800,503,16,500,500,16,649,16,649,800,800,800,169,501,502,500,503,503,649,800,800,500,800,107,282,502,500,500,500,503,649,500,501,800,500,282,151,501,800,502,800,501,501,282,649,514,501,500,107,502,503,501,800,800,649,503,649,501,822,649,500,649,415,503,282,800,649,503,501,800,16,800,502,16,649,503,364,800,500,800,503,500,282,282,649,800,800,501,278,500,562,107,282,501,501,500,649,502,500,649,800,851,503,936,504,800,500,649,800,337,502,503,649,800,649,649,649,689,500,195,649,500,500,649,501,502,503,16,502,649,556,501,700,501,16,800,503,501,107,503,481,500,501,502,500,649,502,501,800,216,501,800,282,500,204,525,502,282,930,649,800,501,501,810,173,501,800,502,501,381,395,502,649,502,649,502,800,502,501,502,503,800,503,581,107,501,501,342,502,501,500,503,503,503,649,502,800,502,800,503,502,500,800,503,933,814,649,500,653,501,501,649,503,649,107,500,169,502,501,40,503,500,649,501,649,705,501,500,649,800,500,800,501,339,649,503,501,503,343,282,16,16,501,500,500,649,800,500,503,915,502,500,500,16,282,503,16,502,235,500,504,503,800,501,502,649,371,502,501,16,501,502,501,501,501,501,282,502,501,800,875,949,800,282,501,289,282,282,649,800,16,503,503,503,502,769,282,800,502,493,502,282,307,649,649,649,800,872,502,501,503,500,502,502,502,800,503,800,501,503,282,107,503,649,16,503,19,501,501,501,800,501,649,800,282,649,500,502,501,500,649,503,860,800,501,503,502,77,502,800,678,501,16,503,649,500,649,502,649,800,503,212,502,501,500,282,649,503,649,503,500,502,800,800,501,873,649,282,649,500,800,502,500,501,649,812,500,800,502,800,800,500,282,501,501,16,649,530,282,501,500,16,800,800,649,500,107,607,778,500,157,500,649,500,500,800,800,338,501,800,501,501,191,502,503,503,501,501,500,649,650,666,500,502,500,500,503,800,282,282,649,503,800,500,313,800,16,282,649,501,946,282,500,800,500,503,800,800,999,501,800,503,502,503,800,500,16,503,500,502,504,649,282,503,800,502,282,282,503,776,16,800,502,649,649,887,501,282,500,501,649,502,503,502,16,649,501,501,649,503,282,503,649,800,500,501,502,649,925,204,503,503,282,503,127,500,30,16,277,12,502,16,500,501,640,503,501,501,503,502,649,501,502,501,706,800,16,500,988,606,500,502,503,649,797,16,800,649,500,16,800,503,994,503,502,501,503,502,502,500,503,503,649,323,800,649,500,800,649,503,500,282,649,649,649,503,649,282,327,800,501,649,502,800,649,282,649,417,800,501,282,282,282,501,649,504,501,649,503,500,501,501,649,501,891,500,800,973,503,500,649,501,649,501,282,503,503,500,501,649,503,783,649,649,800,649,800,649,503,503,800,502,308,107,442,978,800,800,282,500,800,503,800,368,500,501,503,649,114,503,276,649,122,502,503,16,500,500,503,606,501,705,800,502,502,282,16,502,371,800,501,502,735,800,800,725,282,501,502,501,282,502,410,649,649,501,502,503,172,107,649,649,16,802,501,501,282,800,800,282,162,384,500,849,649,299,501,503,872,502,800,800,800,649,649,502,502,126,800,649,502,282,501,282,800,500,800,501,501,282,503,500,282,649,649,501,282,258,649,500,731,649,800,502,501,503,16,504,502,501,649,282,649,501,502,503,500,103,282,312,649,196,502,282,222,501,282,419,533,500,16,503,500,649,800,196,501,649,500,800,800,500,800,501,503,500,705,501,502,236,282,500,282,503,16,649,503,500,503,649,282,800,649,800,501,237,764,500,502,501,282,905,654,800,500,503,282,501,501,282,501,800,502,500,997,501,16,501,815,500,503,500,501,649,501,800,649,500,800,502,501,649,800,500,502,800,502,649,649,500,800,503,501,502,503,503,219,649,800,500,800,500,800,16,649,800,500,502,800,282,501,502,500,502,649,649,800,800,16,16,800,503,107,800,604,504,282,501,282,502,501,504,501,501,800,282,649,503,649,649,800,502,501,503,503,503,16,282,502,649,194,500,107,57,649,282,504,503,649,501,649,282,282,501,501,800,503,502,503,503,282,502,800,649,649,800,608,501,800,500,800,649,285,504,503,16,649,282,800,503,503,502,500,282,16,864,800,282,855,501,501,501,361,800,800,502,463,500,649,539,503,282,502,502,452,800,502,69,77,649,800,500,500,500,649,800,800,321,503,502,500,503,502,800,502,442,500,282,482,16,447,800,504,500,501,500,503,502,502,502,500,800,503,16,800,500,681,502,177,649,501,503,503,282,649,649,649,500,800,800,800,502,800,502,503,17,649,107,282,649,141,107,503,800,203,503,500,500,501,800,501,282,800,649,800,282,282,500,649,500,501,282,282,500,504,800,649,501,503,501,929,649,16,649,501,501,501,800,720,97,16,503,502,500,800,649,500,800,502,502,800,356,103,500,103,800,649,500,500,282,501,40,800,649,501,500,502,282,503,503,649,649,500,500,649,500,708,502,800,282,800,800,501,500,800,503,500,800,502,502,282,503,502,649,310,501,113,500,420,800,503,503,16,503,503,800,502,501,63,16,501,282,282,500,649,502,501,16,500,779,649,649,800,500,800,649,649,503,500,503,501,501,500,649,800,850,16,649,282,800,502,16,502,500,27,649,649,503,501,800,501,800,503,501,649,710,500,800,800,503,568,501,500,800,503,800,253,501,501,502,800,500,500,649,500,649,800,257,756,501,16,363,193,500,502,103,649,107,800,800,504,649,501,472,500,500,502,299,500,16,502,501,649,649,503,501,649,800,490,517,800,845,500,282,68,649,986,500,800,502,16,282,16,854,649,800,501,503,501,503,501,800,649,503,501,501,800,800,348,503,978,503,500,501,501,811,649,649,800,147,501,800,733,282,800,500,272,504,800,977,800,282,500,649,649,501,800,501,500,732,503,502,501,503,500,502,502,500,501,502,500,500,503,500,282,16,800,501,502,282,800,649,503,502,649,501,16,800,502,502,502,482,503,500,649,504,406,800,500,500,649,16,107,501,790,786,649,502,649,649,800,502,503,649,649,103,282,502,501,649,800,153,649,503,504,502,502,501,800,800,503,649,16,800,16,502,800,282,16,502,282,107,649,649,649,500,800,800,502,501,282,800,501,502,800,879,800,800,503,501,649,800,501,502,501,502,501,500,282,503,503,388,282,579,501,282,282,500,800,649,502,282,800,503,503,501,503,503,338,649,800,502,504,800,501,649,519,573,679,649,800,16,502,649,282,504,649,282,503,501,500,501,502,800,503,680,502,501,501,501,800,500,282,282,963,448,649,370,500,282,649,649,500,649,649,800,501,501,501,16,16,649,800,800,800,503,16,501,723,502,800,500,501,502,501,501,649,800,649,500,503,501,649,500,800,800,282,503,649,503,500,775,500,800,282,800,103,800,501,503,282,317,505,500,927,502,800,503,500,660,503,726,500,501,282,649,16,500,800,800,500,503,500,649,800,649,800,500,503,500,503,16,180,501,500,800,500,649,800,500,800,502,502,649,502,800,16,74,503,502,503,503,501,503,501,649,719,503,420,500,102,649,500,800,701,502,450,835,503,16,502,503,649,504,800,16,171,500,649,499,500,500,501,800,800,800,649,649,502,800,500,282,800,800,633,986,502,649,16,503,282,16,500,282,502,501,649,800,501,503,120,502,649,501,503,613,501,282,501,501,16,501,649,649,502,504,502,503,503,503,503,282,503,502,800,503,503,500,502,500,502,741,501,800,503,282,502,503,500,807,502,500,197,503,653,649,649,649,209,649,800,502,800,800,800,173,500,649,355,500,501,503,282,800,504,503,501,502,318,562,800,655,495,800,501,500,502,282,501,502,501,800,379,150,503,502,800,503,282,585,800,503,800,800,649,800,652,361,931,503,503,800,800,800,502,503,502,649,800,800,500,500,800,502,500,282,800,649,256,800,552,79,572,649,503,501,282,800,291,501,502,502,500,503,800,500,649,649,282,503,681,800,503,649,16,204,649,800,500,502,800,800,649,649,16,501,501,800,503,500,500,282,502,649,282,800,107,501,558,107,502,649,500,349,800,503,503,649,800,503,502,501,800,282,503,503,800,501,649,503,503,649,281,282,800,501,503,800,465,796,502,800,197,503,503,502,501,501,503,504,649,649,503,503,502,649,500,503,500,501,502,576,500,649,649,502,503,420,800,800,57,500,649,503,503,501,800,501,649,500,503,500,16,649,503,503,107,800,800,388,169,502,163,295,503,634,500,502,503,386,800,501,504,800,503,800,501,800,502,800,500,800,502,114,800,800,501,282,282,421,503,869,109,504,501,800,500,16,288,501,16,800,501,501,308,936,107,16,502,500,503,502,501,502,502,502,800,649,282,500,501,501,107,800,822,502,800,800,500,501,503,502,502,501,800,280,501,501,502,800,649,500,501,800,501,649,501,501,500,800,141,503,800,717,723,282,503,503,282,501,649,21,503,503,502,752,800,649,649,282,282,273,173,800,502,500,502,503,628,500,107,503,501,502,501,800,504,500,649,502,246,503,649,216,800,503,502,502,504,759,649,500,503,502,500,500,282,692,502,253,649,503,502,649,282,649,282,503,649,800,503,730,282,750,500,501,800,503,500,403,501,503,502,502,502,975,501,503,16,282,150,649,502,705,500,291,649,502,503,251,501,501,16,503,851,502,500,501,501,939,901,282,502,500,500,649,825,649,500,649,282,503,800,649,501,500,107,503,501,503,503,16,502,500,501,533,500,800,501,649,986,503,503,500,649,503,904,503,649,501,500,501,500,800,503,282,800,211,500,500,501,502,800,500,649,649,950,800,800,503,800,723,500,649,696,667,282,501,649,503,501,501,501,800,649,502,282,800,282,282,500,502,16,500,500,800,16,662,502,649,800,502,16,501,501,500,850,503,503,503,800,725,800,501,322,501,504,649,800,800,502,500,500,16,503,649,502,500,800,705,282,282,501,649,502,649,501,101,501,501,282,938,501,282,501,649,501,797,504,500,503,503,649,500,463,502,155,800,800,500,604,425,800,800,649,16,13,501,649,502,502,649,503,501,503,500,502,503,649,633,649,501,502,500,500,649,503,482,500,501,264,800,800,282,2,649,502,800,501,502,503,504,501,503,282,282,424,503,649,501,800,762,501,705,649,741,800,502,103,500,501,503,769,800,502,501,502,796,800,502,500,503,503,502,503,503,107,649,329,502,500,502,502,500,705,673,800,501,502,502,504,501,282,282,502,649,503,503,500,502,219,503,500,413,500,51,502,282,649,800,502,727,800,502,800,501,501,649,502,800,502,356,973,500,502,502,800,503,502,503,800,800,683,649,800,502,800,649,649,800,504,649,500,501,800,503,502,649,16,503,649,595,501,649,427,503,794,282,502,282,502,16,500,503,503,501,502,503,282,209,282,13,800,16,502,501,649,501,501,500,500,103,501,503,502,911,358,504,502,502,500,649,501,279,282,800,500,282,500,649,649,933,502,503,503,501,16,501,800,800,926,500,800,501,500,649,800,40,500,503,780,500,501,500,501,649,649,503,502,179,504,501,649,282,789,502,212,500,185,503,800,502,500,503,120,501,800,282,501,501,204,282,501,501,462,800,800,688,800,10,502,363,800,800,502,649,649,649,501,16,800,800,800,503,500,122,800,500,621,502,503,649,501,502,500,503,16,503,123,500,649,504,800,503,649,800,501,500,500,503,649,800,503,501,649,602,501,16,500,501,800,503,705,502,500,246,100,354,526,500,800,649,503,649,500,800,500,800,503,800,500,649,503,16,800,800,492,504,649,356,502,649,930,504,501,503,649,503,501,500,192,607,800,282,502,649,649,649,649,800,649,905,500,503,503,500,502,81,503,800,500,501,502,649,282,282,282,800,500,16,502,501,282,503,961,800,649,649,503,800,800,649,502,800,800,502,502,501,500,503,705,800,649,649,501,502,649,502,800,501,501,503,500,710,613,649,649,501,649,500,503,501,649,502,649,737,649,649,500,133,503,502,426,501,649,502,501,502,501,800,500,800,501,800,503,649,649,501,156,502,649,800,500,503,800,649,282,500,800,282,800,503,520,503,501,649,501,16,502,502,502,501,649,139,120,800,800,649,501,282,504,649,649,500,501,649,649,649,800,501,649,502,649,500,501,502,503,800,461,503,501,649,527,501,501,649,503,649,502,502,502,502,649,800,800,649,502,649,800,500,500,503,500,500,161,500,649,502,503,501,503,649,501,503,344,800,500,282,649,501,501,107,779,502,503,501,500,502,501,503,503,282,502,649,500,800,502,623,800,918,501,463,503,743,501,800,649,586,504,158,503,282,107,419,503,282,800,282,503,800,800,649,501,649,502,500,503,501,649,500,502,502,503,649,502,502,189,500,282,500,800,649,649,501,503,501,500,104,16,503,282,502,800,501,501,649,282,649,800,502,317,466,107,504,501,503,178,502,332,282,649,649,502,503,282,800,16,356,501,503,16,500,16,501,800,649,649,500,500,502,800,501,502,502,800,8,503,501,501,282,282,744,800,800,277,509,800,649,649,500,503,16,503,649,282,503,503,282,800,500,500,649,107,649,282,500,501,501,500,282,800,500,563,282,16,503,800,736,103,503,500,501,867,502,503,282,394,503,282,503,503,334,501,503,63,501,649,501,988,500,800,502,800,84,649,500,5,502,607,649,282,800,501,800,282,500,503,502,282,107,501,503,500,94,466,800,501,504,800,649,282,501,503,800,649,750,800,503,503,503,800,649,501,500,500,502,504,282,702,502,800,282,500,800,501,64,501,16,503,250,501,500,503,800,16,502,16,282,649,649,282,503,501,817,649,800,800,649,800,503,282,501,649,16,649,725,649,503,501,649,800,800,123,503,502,503,282,502,649,649,502,16,282,502,500,282,501,503,501,501,800,649,503,502,502,649,503,282,282,649,649,501,501,503,502,800,503,502,649,800,649,800,503,282,502,503,533,503,500,649,502,143,649,501,649,649,800,800,502,16,800,649,800,831,500,102,649,80,998,501,127,501,500,502,500,649,500,800,503,282,503,502,501,996,649,800,103,649,500,501,500,457,596,503,800,501,501,859,800,800,500,500,282,503,800,282,221,107,501,500,501,501,172,800,800,502,282,649,503,103,503,649,649,503,501,503,501,503,800,649,649,943,107,501,649,500,433,282,779,282,933,503,501,267,649,800,679,501,484,503,503,649,503,502,501,503,503,500,133,111,501,502,282,501,502,649,620,501,500,501,62,16,504,503,16,503,800,800,239,502,850,282,501,800,800,16,800,502,503,895,800,282,649,502,282,649,649,800,903,501,501,502,503,503,503,325,501,535,800,16,649,800,500,800,502,503,502,502,501,649,282,501,502,504,103,500,501,502,910,501,163,502,800,503,503,282,503,800,501,649,16,800,649,800,500,502,602,965,502,501,649,501,502,502,500,503,503,520,503,698,503,709,501,800,649,16,500,502,800,503,649,937,503,501,502,580,800,649,502,701,500,502,501,500,503,649,800,501,502,16,649,800,502,500,500,500,16,502,503,503,649,501,501,800,501,214,502,501,502,800,504,800,503,16,649,649,282,502,10,501,500,800,500,501,282,800,503,503,556,649,502,282,198,282,501,282,500,472,501,282,504,500,104,503,800,649,502,500,665,500,501,502,500,649,501,800,503,503,502,107,501,800,503,385,503,500,282,107,800,800,16,500,645,45,800,501,501,525,649,295,503,501,502,501,649,800,800,500,502,500,503,500,501,500,11,103,502,800,183,800,502,503,774,107,501,502,374,502,282,503,282,500,649,800,649,649,649,501,68,501,502,16,988,503,101,503,76,503,759,504,501,88,501,500,503,502,622,800,502,503,649,282,800,800,649,502,500,500,16,500,16,500,501,800,649,649,502,649,501,503,171,502,501,282,501,501,501,500,503,504,502,503,501,500,504,59,502,800,669,502,501,972,502,501,502,800,800,841,146,948,502,503,500,501,502,502,503,500,501,163,503,282,501,800,649,502,649,16,503,83,800,649,649,503,501,503,501,500,501,282,282,501,800,649,503,501,503,800,800,501,500,502,502,25,500,800,500,107,500,501,502,503,503,649,503,500,800,503,800,800,649,502,500,501,501,828,500,282,16,501,502,800,800,501,502,503,800,502,142,800,500,503,112,270,503,501,649,504,352,282,8,649,500,282,800,456,649,502,16,503,857,609,500,800,501,649,500,500,501,282,500,800,503,282,649,503,800,419,502,649,503,16,282,649,501,241,649,502,649,500,500,504,800,503,500,932,503,500,16,641,500,500,63,501,503,501,649,800,649,503,800,16,503,598,221,282,504,649,649,800,482,800,503,947,501,502,649,649,503,501,503,503,282,502,649,649,500,649,705,503,103,502,501,502,282,649,649,504,502,502,500,107,685,649,282,649,504,500,503,501,500,800,800,502,800,500,500,503,800,501,500,503,649,503,502,555,889,500,500,502,800,406,500,501,649,500,282,502,503,800,501,500,42,503,282,649,502,501,504,282,800,800,503,649,500,649,500,502,502,502,500,501,503,800,649,282,500,530,240,670,501,649,649,501,500,500,366,501,800,841,649,500,501,502,502,356,503,502,500,176,800,500,503,800,649,16,649,50,800,649,800,502,502,501,800,800,501,800,503,649,649,501,502,501,502,503,502,766,501,3,502,501,502,649,308,103,712,282,503,507,504,503,282,500,503,501,282,503,500,500,503,581,502,800,614,800,282,75,649,502,370,501,107,500,800,502,107,103,501,501,502,501,753,282,500,282,800,503,800,16,800,501,800,649,800,500,649,502,282,500,502,649,500,16,800,502,800,500,500,800,800,54,500,501,500,471,800,649,800,503,800,501,502,502,500,282,501,501,282,503,500,503,501,800,500,500,480,500,21,16,502,503,649,592,912,502,502,500,503,501,800,800,282,500,502,502,503,16,502,501,649,649,806,800,500,649,282,501,800,501,502,502,500,649,502,501,800,503,503,502,800,503,649,503,500,501,649,282,800,282,914,500,649,501,282,503,501,649,503,303,723,800,649,884,282,649,649,692,503,16,800,649,16,500,800,501,800,502,800,500,502,649,502,503,501,972,503,503,282,637,501,503,503,649,502,501,800,800,649,503,282,282,503,501,282,282,500,501,501,649,122,502,500,107,502,649,300,502,503,503,500,649,500,105,800,800,107,504,282,500,649,800,725,224,502,888,501,800,800,990,500,649,723,107,500,501,770,500,800,782,501,500,502,501,501,272,842,800,503,501,502,500,500,500,503,601,503,649,282,649,500,800,503,800,649,19,503,16,501,282,502,282,500,16,800,649,500,16,16,173,503,501,502,800,16,109,649,501,503,838,617,501,501,500,282,503,649,501,502,282,503,302,112,503,107,800,501,501,66,601,502,502,501,500,502,501,800,503,503,649,888,502,800,282,502,800,503,501,502,800,502,649,545,502,649,501,500,503,649,282,282,501,502,501,16,963,503,502,501,502,501,649,649,500,800,503,500,649,282,503,501,501,501,800,282,800,502,501,107,16,649,501,16,503,282,684,502,103,501,649,321,800,500,649,649,501,501,320,44,16,800,502,502,649,503,501,500,282,410,503,960,500,503,800,501,501,500,504,500,501,800,41,500,503,282,457,705,800,502,501,282,800,16,800,649,501,107,500,649,429,282,503,502,282,500,500,503,282,16,199,503,945,500,282,684,501,500,501,16,800,800,571,107,800,800,800,500,649,501,800,500,503,501,503,181,282,503,503,800,500,823,649,649,503,501,502,502,500,401,16,282,503,800,282,282,140,502,649,501,382,502,800,806,503,390,649,503,934,502,178,800,649,503,800,826,501,502,503,500,282,784,500,649,503,501,741,649,502,503,282,649,649,500,282,649,504,649,649,649,800,282,649,501,500,280,503,502,500,364,800,501,502,500,500,503,16,132,503,649,649,500,649,800,649,800,649,52,502,649,649,649,800,800,521,502,501,649,493,711,800,500,649,649,501,649,502,500,503,501,504,501,501,103,282,502,27,179,649,800,503,649,500,500,503,649,504,500,501,500,137,982,282,503,500,282,501,500,226,503,649,800,503,649,501,501,501,94,157,502,542,16,503,501,36,426,800,500,500,501,282,503,500,502,501,501,282,500,502,649,463,500,282,504,502,502,501,649,503,649,649,800,800,16,282,501,500,503,800,800,502,217,559,503,502,800,800,649,282,649,805,502,107,500,500,800,800,104,999,649,500,800,649,942,503,451,649,282,501,502,385,501,973,501,75,119,800,500,807,500,488,677,16,500,807,500,800,500,16,502,501,649,800,503,501,800,800,649,502,503,16,649,649,502,502,470,501,502,800,502,502,649,649,800,502,502,503,502,502,500,107,503,800,504,282,501,828,800,800,800,501,502,800,800,502,22,944,400,800,501,800,16,649,649,500,800,765,649,800,97,503,649,500,501,504,500,649,500,501,818,282,503,510,503,503,503,649,501,800,800,800,502,103,800,282,649,500,925,500,504,107,649,16,973,282,224,85,632,847,500,502,500,687,500,800,649,502,502,800,501,800,800,502,502,500,502,504,649,502,503,282,800,503,240,502,800,501,503,500,502,503,855,649,649,504,500,503,502,484,502,649,649,501,503,522,502,500,800,501,57,502,800,500,800,501,502,649,503,649,501,800,649,649,576,649,759,107,502,800,501,371,103,322,800,282,500,503,29,16,500,501,800,501,502,502,573,501,649,103,502,503,503,502,649,33,502,503,500,502,649,86,500,706,501,502,282,502,503,501,800,500,678,133,503,16,501,100,800,500,502,502,503,500,502,800,500,503,502,501,504,777,16,500,503,800,800,649,800,92,502,800,500,502,502,501,503,501,501,282,503,983,282,662,16,504,592,222,946,107,503,800,502,500,501,502,649,16,649,503,367,500,282,649,649,649,500,500,501,649,500,282,501,504,800,16,800,500,501,501,501,649,503,282,503,124,639,649,926,500,649,502,800,800,649,502,501,500,749,503,649,226,717,800,127,649,649,800,502,501,500,649,800,800,282,800,500,503,500,500,800,501,282,16,414,800,503,503,649,800,502,502,649,501,27,649,800,503,500,33,800,501,503,502,171,800,501,502,800,282,502,500,503,649,500,800,503,502,500,364,649,282,649,649,503,800,501,503,807,500,503,503,503,504,649,510,800,649,800,800,800,500,800,503,800,502,503,800,282,800,500,160,502,800,503,501,649,502,504,107,800,282,800,649,502,800,500,502,500,800,501,800,523,282,500,282,502,500,500,649,282,502,501,282,305,502,500,649,500,800,500,649,501,282,649,503,502,800,501,501,503,502,800,282,800,858,500,500,649,800,500,501,800,75,500,503,501,282,282,503,16,501,500,500,649,16,500,16,500,282,500,143,649,649,501,282,649,500,502,756,502,503,503,800,800,502,16,502,502,503,670,800,501,282,501,500,503,570,503,503,500,649,502,282,282,282,502,282,502,502,262,282,359,649,644,503,722,501,649,649,800,649,503,681,500,337,503,649,800,503,16,16,503,800,503,800,503,500,16,800,500,649,504,800,503,500,282,503,16,503,501,803,503,668,502,282,502,502,502,649,503,649,500,800,500,500,501,800,649,800,503,282,282,509,635,800,800,502,800,500,136,338,282,909,501,502,502,502,501,502,502,800,502,800,500,649,503,503,282,29,919,16,649,501,769,502,800,649,500,453,649,501,500,800,500,501,282,503,16,502,16,800,282,91,502,502,502,701,503,800,500,501,502,503,503,503,501,502,282,858,282,501,503,501,500,501,501,503,503,107,500,282,649,800,502,501,885,502,501,800,500,80,649,503,503,501,500,649,501,502,800,503,503,500,649,502,503,649,502,16,501,502,503,800,649,502,500,282,502,502,423,500,502,500,504,503,502,649,502,723,649,16,503,504,800,800,502,500,500,800,507,490,800,934,500,835,504,504,503,800,107,22,649,504,414,500,502,501,800,649,107,856,501,501,503,649,501,649,649,16,501,503,502,649,649,500,800,649,282,800,800,103,503,502,501,503,282,800,16,500,502,501,649,282,500,800,502,500,502,503,502,500,649,800,649,649,503,501,800,282,616,282,502,503,500,500,503,502,503,649,485,800,282,649,503,122,800,502,503,502,501,107,502,873,500,9,107,500,587,554,500,502,500,649,649,649,649,705,501,500,501,800,501,501,502,504,503,500,800,503,963,649,503,649,502,649,295,649,501,800,800,437,942,800,949,502,649,649,649,282,502,282,501,501,502,800,800,500,503,282,693,649,501,504,503,16,282,504,16,500,501,16,501,800,503,537,500,502,168,649,501,502,853,502,503,503,500,800,502,501,502,652,649,418,501,500,503,649,503,317,800,800,16,649,503,649,649,501,223,16,500,558,616,502,503,16,904,587,500,649,649,800,501,503,502,282,501,500,649,397,500,500,800,16,288,500,16,800,502,660,649,333,664,649,157,501,800,504,649,16,800,502,503,649,501,649,649,210,502,501,800,800,16,16,500,503,504,655,800,800,800,800,282,501,503,649,282,389,502,502,501,503,500,500,502,649,502,501,810,800,503,800,800,282,501,504,649,800,649,16,503,800,649,503,503,282,800,500,502,503,504,503,500,502,501,282,502,282,501,800,504,502,649,503,501,246,501,282,282,800,500,500,649,800,501,501,649,530,145,800,649,502,649,282,501,502,501,500,503,501,502,16,500,501,500,741,649,500,500,500,103,503,800,502,282,800,502,800,503,500,800,282,502,282,501,657,500,503,800,508,800,757,501,800,501,503,500,16,649,649,282,500,367,16,500,800,503,500,503,282,604,503,504,800,503,501,502,649,576,501,502,16,800,502,500,502,500,107,502,761,827,282,503,503,502,800,800,282,501,502,503,502,282,503,282,500,501,800,500,654,883,503,502,649,503,800,503,501,503,502,800,501,800,502,800,502,800,501,501,649,512,501,502,501,500,620,649,447,282,500,501,501,501,800,503,16,800,500,500,502,800,502,649,800,800,800,501,649,500,800,503,500,705,500,278,502,800,502,501,649,502,800,282,183,800,502,502,503,501,504,800,800,500,16,502,989,502,501,649,649,500,308,503,502,282,503,16,501,649,321,504,503,500,504,501,503,262,503,501,834,16,649,282,501,501,502,503,503,420,501,649,501,800,501,503,503,503,649,502,504,779,620,649,741,103,800,807,994,501,502,502,500,282,502,282,500,607,800,705,502,26,502,501,502,282,800,500,800,2,369,503,649,501,282,500,500,500,649,502,500,504,16,502,649,503,503,991,500,282,501,504,502,503,503,649,502,502,503,649,103,500,800,500,500,727,649,503,500,800,501,800,649,649,502,282,649,500,282,649,503,649,800,649,500,16,501,500,81,649,500,500,500,503,501,500,502,800,649,532,501,502,45,649,649,16,350,800,800,16,107,800,800,107,503,800,500,649,107,282,282,502,16,16,500,503,282,44,501,501,502,800,282,649,739,16,501,800,800,124,800,502,20,13,502,503,16,123,649,501,502,502,800,501,503,768,649,500,502,500,501,502,503,914,500,282,282,500,500,452,800,800,503,649,800,16,427,502,619,502,526,503,847,503,800,501,500,857,399,107,503,649,80,500,503,500,649,906,503,514,649,649,504,502,649,649,502,821,649,500,649,502,192,502,502,503,885,800,503,129,800,502,87,649,800,503,103,503,503,800,107,501,503,107,501,732,503,503,282,649,583,502,800,501,649,501,503,502,500,671,501,649,503,500,502,649,276,503,649,501,500,502,282,502,16,503,504,590,502,503,649,501,501,282,503,800,649,503,503,282,502,502,500,501,649,649,542,503,649,501,500,501,649,649,544,800,502,503,501,503,504,649,500,503,107,502,427,88,649,649,500,800,502,501,649,500,501,502,501,500,500,800,503,705,527,649,800,500,503,500,500,99,752,81,502,503,501,649,500,649,504,649,800,501,500,649,501,501,800,800,502,16,501,502,282,503,649,504,657,800,426,501,503,800,503,649,502,503,800,282,649,619,503,502,649,800,502,957,800,649,501,969,800,504,503,503,637,800,503,737,500,500,800,500,282,409,649,500,503,502,500,282,107,502,800,649,800,728,800,500,502,282,503,800,503,500,934,649,503,500,649,502,578,486,282,262,503,800,502,806,282,503,500,501,282,649,282,500,800,14,501,502,649,519,649,500,705,800,503,501,800,503,502,501,502,503,503,503,503,501,160,800,501,501,29,501,503,503,809,500,765,649,800,501,501,503,502,502,243,649,800,501,501,321,501,604,16,108,800,501,476,500,502,500,649,619,501,500,502,502,501,504,282,501,502,800,107,649,500,501,800,649,503,503,676,500,282,203,501,282,501,500,501,872,649,649,93,500,649,503,800,503,503,800,16,501,500,649,649,649,649,800,92,500,502,520,500,107,649,293,800,500,502,502,501,500,649,502,500,282,503,146,282,800,501,500,282,503,800,504,503,705,887,502,503,500,503,533,501,502,778,649,501,501,649,502,501,649,282,502,282,503,753,500,501,532,164,220,649,103,800,504,503,500,16,504,500,800,500,645,103,551,800,649,649,501,500,93,800,503,500,502,282,503,503,282,419,84,503,501,502,500,282,514,501,500,800,500,732,501,800,800,503,502,800,800,16,649,16,800,316,649,16,282,800,649,705,282,500,649,500,503,649,503,16,502,503,188,501,503,502,747,660,500,502,649,649,501,501,502,503,503,878,800,242,500,649,500,501,800,502,502,502,503,800,374,501,501,503,649,16,649,503,800,800,800,500,501,501,503,502,800,649,501,503,500,503,504,800,800,649,16,500,502,16,800,678,800,800,649,502,282,649,282,502,503,502,501,501,800,800,512,500,47,503,502,800,649,503,502,504,500,282,503,800,502,800,800,282,503,503,502,800,500,649,501,502,500,501,503,500,502,169,800,502,502,800,134,121,224,800,503,501,503,282,800,800,880,504,502,399,282,721,964,503,282,107,500,649,502,502,502,649,413,501,503,500,107,503,501,205,649,282,500,800,800,800,502,501,800,502,502,501,800,800,500,800,800,500,800,516,649,800,501,501,302,649,500,501,800,649,503,800,798,282,501,103,503,649,501,501,800,503,800,501,502,501,649,504,501,800,502,501,501,500,649,649,501,503,503,649,503,503,500,16,60,503,282,800,282,649,501,649,649,491,503,501,502,800,800,649,502,800,500,500,800,16,800,502,503,502,500,503,500,649,282,502,500,800,66,502,800,501,503,800,503,107,501,649,800,504,500,501,800,501,649,800,800,914,503,800,800,502,57,983,500,649,981,16,503,800,501,800,504,502,800,649,649,501,500,503,282,16,800,504,503,503,800,948,800,502,503,649,649,504,800,16,369,282,806,502,686,502,503,800,649,649,240,502,500,800,800,649,502,649,500,16,502,968,649,502,228,282,282,501,649,503,649,649,800,16,503,501,500,503,500,501,503,501,649,649,500,500,502,649,800,501,649,800,502,282,503,503,800,608,800,800,502,649,500,649,800,502,501,502,501,282,995,502,800,503,800,876,503,500,649,800,503,504,16,501,800,431,649,502,503,501,503,282,500,501,503,501,974,500,159,502,500,502,502,282,501,500,800,282,826,501,500,742,501,16,503,282,649,500,800,282,107,282,503,503,362,501,503,107,503,282,800,649,502,503,501,502,500,504,16,500,649,800,282,500,503,107,800,649,501,107,501,649,501,282,800,800,503,800,502,649,16,64,103,502,800,503,502,800,500,16,501,500,480,500,164,649,649,503,800,649,500,34,649,770,500,503,500,282,500,842,11,503,503,800,503,649,501,649,503,282,743,502,503,502,870,501,502,500,500,502,800,800,502,503,502,504,533,500,503,800,503,607,504,800,282,503,649,502,919,500,501,800,649,503,800,502,502,649,282,282,501,502,572,16,282,16,500,103,502,649,282,800,500,302,649,649,649,107,503,800,500,282,500,503,282,649,500,500,504,103,800,800,500,501,501,800,649,282,629,500,800,800,504,500,649,504,800,502,503,649,501,501,800,649,501,800,800,362,36,728,800,217,503,500,282,282,649,800,501,501,649,503,649,500,502,649,502,504,503,501,107,649,649,800,501,503,502,800,649,502,439,500,649,503,800,500,500,440,500,503,501,503,501,282,103,694,503,800,500,282,500,503,503,501,800,504,500,800,649,16,502,501,501,503,502,502,623,500,501,542,500,500,961,501,502,503,501,16,649,705,501,800,502,649,800,686,649,503,503,501,712,503,911,502,649,500,500,500,501,500,501,282,282,649,282,161,279,500,800,502,502,649,807,504,500,501,649,16,502,40,501,962,282,800,502,282,649,800,26,501,501,504,800,501,501,800,501,649,500,500,502,649,501,501,500,500,501,500,501,282,800,308,501,504,800,500,800,501,572,500,649,500,649,502,649,501,753,502,800,800,908,501,800,502,501,800,649,526,800,800,503,502,501,649,800,500,840,503,502,649,649,500,500,103,705,503,501,649,503,502,800,500,501,555,501,500,421,544,649,500,500,516,502,538,649,282,282,502,500,502,502,501,500,124,800,350,800,800,697,800,800,501,282,544,503,550,16,649,58,501,282,501,668,649,503,800,649,500,649,502,103,500,282,16,503,649,501,681,502,502,500,501,16,649,16,282,800,807,501,501,649,503,103,500,500,503,800,359,144,658,135,501,649,16,89,503,502,186,800,503,501,501,282,502,800,502,282,649,502,247,800,501,282,502,808,800,649,500,501,501,546,780,502,649,670,649,501,800,649,500,681,649,649,501,800,484,500,503,16,502,649,16,503,649,705,706,503,501,649,500,107,692,965,649,800,649,501,131,800,503,502,502,502,502,254,501,503,502,649,282,501,800,501,503,800,975,369,649,501,649,649,501,500,800,501,501,392,103,649,990,854,16,501,503,500,16,501,500,500,503,503,800,391,800,800,501,502,501,501,503,282,800,503,16,800,800,500,753,503,650,503,800,800,679,800,800,800,282,649,800,501,800,503,737,800,500,800,502,649,501,649,502,282,502,282,800,503,282,501,500,282,843,503,16,501,649,501,800,500,800,649,502,500,320,649,800,502,85,649,134,800,502,501,408,501,649,649,800,502,649,800,503,502,502,151,500,800,709,649,282,107,649,402,502,503,504,504,800,800,503,504,503,282,503,501,649,501,16,282,649,502,502,107,800,282,501,800,800,503,501,282,501,503,768,503,800,502,282,282,502,800,649,936,649,800,502,500,800,800,502,282,501,282,649,502,503,800,500,800,500,637,500,649,649,503,502,800,502,603,282,16,800,282,502,502,500,800,800,502,800,873,503,257,500,503,226,600,649,503,501,282,503,800,329,800,800,800,649,800,501,800,649,649,649,827,502,501,503,501,500,682,501,500,800,712,926,800,502,501,715,503,800,503,800,503,282,503,800,502,649,502,800,500,502,800,500,502,503,503,16,800,378,503,502,502,501,649,500,800,500,16,107,293,502,501,500,503,800,127,70,503,500,501,591,501,785,649,500,800,501,411,501,503,800,501,501,503,16,502,503,500,500,503,16,900,502,16,501,503,503,501,649,501,500,565,282,107,500,500,501,503,649,500,800,502,282,503,503,800,501,503,500,500,501,500,649,500,282,743,501,500,501,501,503,411,501,107,800,800,800,501,500,501,502,500,110,501,500,501,800,282,212,800,502,611,800,500,233,501,16,282,107,107,649,64,501,649,503,659,16,800,501,500,502,800,107,500,649,500,649,500,500,502,504,502,361,649,502,709,503,500,282,16,306,282,85,495,649,16,502,800,649,649,503,460,800,503,800,503,800,835,503,105,649,641,503,501,554,605,784,251,800,503,800,502,501,502,501,501,602,649,502,502,502,503,147,800,501,502,800,502,282,800,502,649,502,16,502,649,800,649,800,601,500,800,502,501,849,501,503,460,502,500,503,502,414,827,502,800,649,501,800,649,502,800,649,502,800,579,500,16,726,298,502,16,282,503,501,502,800,504,501,800,800,521,649,785,282,503,502,503,611,235,16,800,282,501,500,500,649,775,800,649,500,404,501,282,501,503,16,800,649,132,500,800,503,502,501,16,800,500,649,649,502,282,800,502,649,563,800,502,649,500,649,502,500,16,649,882,16,127,643,500,908,705,500,800,503,502,502,529,502,503,649,503,501,649,107,800,501,500,502,282,800,800,500,649,649,649,649,649,578,649,503,503,503,800,500,503,649,501,502,800,501,502,501,800,501,501,503,123,649,500,501,502,16,649,649,503,500,502,503,346,800,649,649,536,501,800,649,282,800,503,649,501,655,500,282,502,470,502,282,649,500,500,649,800,800,16,336,708,800,500,800,301,503,503,649,282,503,503,501,800,16,501,649,503,649,500,501,282,649,889,503,282,107,282,800,649,500,282,503,649,302,502,502,501,282,500,559,502,649,133,500,853,501,503,501,857,502,440,503,942,503,501,259,500,501,503,764,500,500,502,800,282,500,501,500,800,800,503,501,501,502,500,503,660,501,800,800,500,421,502,500,502,649,503,501,502,501,649,800,502,15,282,500,500,503,494,500,502,649,800,501,800,502,504,800,649,500,502,800,282,503,501,800,649,503,502,649,501,649,504,646,800,800,500,200,502,503,642,649,282,282,500,800,16,157,503,800,282,500,649,500,501,282,500,500,503,800,25,575,649,502,504,649,649,88,501,502,502,705,649,282,500,500,502,500,107,503,502,800,504,503,500,500,503,503,800,649,503,800,500,649,500,500,500,502,649,500,503,631,800,16,800,503,503,503,282,651,503,503,914,501,649,16,649,502,503,800,502,649,800,649,503,870,501,800,502,649,500,501,649,167,502,501,503,503,502,649,800,649,242,500,649,307,502,320,500,504,500,500,876,503,502,503,503,502,800,800,649,965,503,800,502,501,500,502,501,502,501,649,282,649,501,502,500,782,503,501,649,282,502,500,500,502,500,501,501,503,501,649,76,245,502,501,800,649,800,500,503,16,503,501,501,500,501,284,177,282,467,500,800,591,800,500,501,501,503,800,500,43,502,800,501,282,504,535,502,649,800,16,649,503,503,502,939,903,800,503,500,282,282,500,800,500,501,800,649,500,500,500,29,607,500,501,448,16,649,586,800,502,282,794,800,649,500,501,502,503,282,500,503,503,502,501,500,649,16,800,500,16,609,649,501,503,500,502,500,282,649,800,503,781,800,504,282,800,800,800,500,800,503,649,502,649,502,501,649,282,502,502,673,649,282,533,502,976,282,282,503,478,502,16,501,500,649,282,500,502,500,16,649,501,351,649,504,502,500,649,500,500,800,800,349,501,500,501,503,502,43,502,282,502,501,814,500,500,330,800,282,503,501,16,800,503,503,502,501,502,705,502,800,212,467,800,501,500,502,649,411,649,800,490,800,501,49,503,501,282,500,502,500,800,800,502,503,649,800,282,502,502,502,501,682,502,282,482,500,501,150,502,16,282,503,501,710,500,500,800,282,502,502,502,500,800,500,649,800,649,282,225,500,282,649,604,649,501,800,800,502,500,501,501,649,282,501,282,800,16,800,800,503,503,502,649,501,649,649,502,649,800,649,282,501,649,800,800,501,500,504,500,649,16,282,502,649,800,481,800,985,800,501,502,800,719,500,503,502,800,503,501,502,500,649,502,800,598,503,500,800,503,282,500,501,503,501,502,800,16,501,503,566,800,800,16,800,800,800,649,501,500,501,144,16,503,503,800,107,502,500,503,501,800,503,500,500,282,500,500,800,800,282,503,503,502,501,16,502,501,502,502,574,16,155,503,649,800,503,800,800,16,550,282,649,800,568,800,503,282,502,649,503,501,501,800,500,503,649,282,649,800,503,504,502,501,649,800,502,282,16,501,411,649,649,336,504,501,501,649,335,591,503,282,503,649,305,503,800,649,800,282,282,800,649,454,500,502,503,500,501,649,500,501,800,502,500,800,649,282,500,501,501,501,16,800,800,503,500,800,501,503,704,502,649,501,649,503,502,503,800,282,503,502,500,500,503,501,505,500,16,41,500,649,501,258,678,649,282,649,282,282,649,503,649,503,501,503,502,501,501,112,500,501,501,578,579,503,282,501,361,649,501,800,800,800,65,500,503,649,501,103,362,282,502,502,114,16,502,159,501,282,500,800,649,503,501,503,107,800,503,16,501,503,16,649,503,500,503,502,649,500,649,100,501,501,501,624,502,484,282,313,536,649,855,503,501,503,800,502,649,649,649,800,502,16,502,954,500,16,503,16,800,503,503,10,504,503,502,282,502,501,501,649,501,649,500,800,502,502,501,500,502,501,800,500,16,503,610,190,282,282,800,649,800,502,500,649,668,282,501,500,800,800,500,502,502,503,800,503,503,649,500,800,800,501,800,503,800,649,501,501,501,800,501,502,16,8,502,503,500,500,503,500,500,503,649,503,502,649,800,737,16,503,500,649,649,503,503,502,525,502,881,649,500,500,800,500,282,504,502,800,502,16,16,282,503,513,649,503,500,501,16,503,450,501,502,461,761,504,500,800,800,501,800,500,649,282,501,500,500,502,800,649,501,501,649,502,649,503,945,504,503,649,501,501,800,649,502,800,501,800,16,500,649,282,500,501,501,501,16,16,500,800,649,503,502,503,528,501,282,500,705,649,649,500,504,393,503,503,502,503,800,800,501,501,996,501,500,282,500,800,501,800,800,501,501,16,503,500,649,144,282,500,800,500,501,501,500,502,649,504,649,502,503,502,107,107,649,502,649,800,500,282,500,141,601,501,800,502,16,282,503,82,800,503,735,649,501,501,800,800,503,500,502,502,105,501,500,501,800,649,503,503,282,503,503,503,800,800,933,503,800,800,501,282,282,500,503,918,103,800,501,503,501,16,282,649,415,501,501,500,260,501,502,502,503,282,503,503,501,502,502,649,503,800,502,380,501,800,270,800,501,946,639,584,503,800,500,714,800,16,649,501,502,500,500,503,985,502,649,282,500,502,501,501,500,502,501,501,502,282,800,800,502,501,502,649,502,649,501,504,503,503,500,649,649,16,402,504,282,503,503,502,649,282,503,800,500,502,800,502,501,501,57,502,800,500,800,572,16,649,502,649,282,500,500,282,282,282,501,800,500,503,70,210,482,502,649,500,501,649,502,500,503,800,503,282,871,502,282,649,649,282,502,500,649,502,502,649,800,503,649,501,503,502,16,503,8,501,931,501,500,500,649,622,649,800,503,500,505,500,198,501,503,503,502,649,800,503,501,848,503,503,649,501,501,282,501,502,501,501,16,501,107,503,16,502,800,282,333,282,649,500,503,649,501,861,685,985,16,800,500,504,502,502,16,107,835,502,501,502,649,551,502,502,501,800,502,800,502,355,16,454,501,503,501,800,630,502,649,500,547,800,800,503,16,501,502,501,649,649,986,649,649,503,16,503,526,649,501,502,649,933,504,774,953,282,503,501,395,282,171,897,282,282,862,500,800,282,649,649,501,5,501,502,402,800,501,502,649,282,500,502,16,501,503,503,649,503,715,503,503,800,503,800,800,126,512,498,502,800,282,502,501,500,548,800,800,649,178,503,227,500,501,649,501,503,800,649,501,649,282,500,282,800,500,649,502,649,16,503,282,273,501,502,502,503,494,800,649,649,503,501,500,800,503,54,800,800,502,501,649,501,503,501,16,503,800,502,500,16,501,909,503,800,16,502,649,712,282,503,500,800,539,800,502,800,649,649,282,502,801,649,649,500,501,800,16,649,503,500,502,501,501,926,282,502,800,501,649,503,649,649,500,282,328,800,503,503,503,649,198,501,800,500,501,800,501,169,649,800,501,16,500,500,501,503,649,503,282,502,483,500,503,649,503,501,16,386,351,503,107,500,501,800,800,501,800,501,800,500,502,502,504,800,503,501,16,501,500,501,800,501,503,497,800,501,503,800,317,502,800,649,501,500,503,800,649,800,800,501,90,500,282,16,282,501,649,649,730,501,282,502,502,477,16,503,502,500,502,501,503,282,194,649,502,501,501,602,500,500,500,501,500,500,500,400,800,16,500,282,503,502,502,503,503,649,503,269,503,503,500,683,649,502,503,501,649,502,500,503,465,502,800,501,503,500,649,503,502,16,800,503,502,282,800,649,745,649,502,107,800,282,500,282,649,253,610,502,502,649,503,649,16,503,500,800,502,502,502,502,381,541,500,800,500,800,800,690,500,649,503,501,502,282,649,503,649,500,282,501,503,800,501,805,500,888,500,502,500,500,649,16,366,503,649,649,800,800,649,282,501,502,800,500,16,500,502,16,502,800,365,800,503,500,800,502,500,501,500,16,437,282,649,675,502,502,183,937,501,500,503,649,500,705,800,500,800,197,800,282,500,503,282,503,649,500,500,502,501,800,503,503,304,649,53,504,502,500,500,503,649,559,500,649,503,467,800,501,649,649,800,503,649,189,781,759,282,502,800,502,251,800,501,972,501,649,800,800,503,502,500,502,503,950,500,282,290,500,500,649,503,500,800,282,501,800,501,501,282,502,282,103,965,501,502,282,500,282,501,16,502,807,800,502,500,502,502,649,503,800,501,649,502,501,501,501,500,800,649,502,502,282,649,503,362,503,500,502,503,501,503,501,500,503,501,502,649,502,501,800,500,500,649,649,649,502,649,913,503,278,800,282,500,502,501,502,282,501,500,649,800,503,502,502,504,503,139,282,500,502,437,502,223,500,502,504,502,800,282,800,800,649,502,282,500,649,649,501,16,501,500,502,16,503,16,503,503,16,500,501,984,649,800,503,649,503,316,800,500,501,800,503,503,500,282,501,500,503,503,649,282,501,503,649,501,500,649,503,107,501,282,503,649,649,914,282,282,282,920,503,649,500,502,503,649,501,503,502,500,800,649,502,47,500,502,503,500,502,800,649,502,649,800,800,649,500,503,800,649,500,503,523,501,500,503,800,800,557,501,500,526,503,800,502,501,500,500,501,282,649,980,800,503,503,649,16,559,501,649,501,649,649,500,809,500,16,500,103,649,501,502,503,502,649,503,800,649,107,503,595,501,500,501,649,279,502,649,500,503,649,800,502,500,502,501,282,649,501,501,500,501,649,649,504,503,282,800,500,503,501,500,501,800,649,649,503,501,649,649,800,502,503,502,500,800,501,586,501,800,504,503,501,503,502,800,503,649,501,503,503,649,282,501,500,502,800,16,800,502,500,501,501,282,503,503,501,503,576,504,503,503,63,503,501,800,503,503,502,156,503,502,282,800,501,282,503,501,502,649,500,502,813,502,649,500,503,223,501,649,949,500,16,503,16,501,502,16,503,500,500,500,282,800,800,859,649,649,502,502,502,800,649,282,503,502,618,500,800,282,282,500,500,649,501,649,319,705,649,649,800,309,502,201,800,649,503,501,800,146,607,500,800,501,501,649,11,502,500,503,500,503,501,530,649,503,282,800,16,503,649,649,282,500,502,503,649,501,649,500,800,800,327,500,501,705,557,503,16,501,282,16,502,502,502,800,282,822,501,282,800,649,503,800,282,501,500,503,673,501,502,282,501,649,16,503,503,502,501,649,800,502,649,800,853,500,282,800,278,503,501,503,282,501,95,501,800,504,503,500,502,800,502,503,800,503,502,649,16,502,649,501,502,503,800,16,504,501,503,320,501,504,500,502,502,649,800,967,502,800,502,937,649,841,16,501,503,649,500,800,322,501,501,649,539,640,501,649,282,500,46,500,649,230,502,207,800,502,555,503,649,501,800,503,329,282,649,503,503,16,800,16,800,502,500,800,649,800,858,500,800,501,500,649,282,503,649,649,800,501,500,500,502,503,500,800,501,500,800,503,501,503,649,649,501,938,503,503,583,500,800,502,75,800,503,800,503,573,500,16,502,649,282,649,565,501,501,31,500,503,87,649,800,16,503,608,157,502,501,502,282,501,649,649,501,649,502,282,501,503,502,282,500,16,503,501,282,113,800,800,800,503,649,649,649,503,500,649,800,282,282,501,501,800,502,502,649,504,567,16,503,502,800,649,503,500,501,501,502,637,282,503,502,503,503,743,503,503,500,649,833,411,800,500,285,500,800,800,502,503,800,843,800,282,502,649,501,800,22,800,800,500,282,503,800,501,504,649,426,800,800,500,503,649,16,16,597,503,500,800,800,282,501,501,649,500,800,503,502,649,992,500,500,649,612,501,500,503,649,500,800,883,503,502,282,649,501,649,502,972,503,501,501,800,503,800,501,103,649,312,800,345,501,16,800,649,800,501,464,399,502,500,800,502,649,500,502,500,500,340,649,649,649,586,649,649,800,991,501,649,649,649,282,282,649,800,914,282,800,1,282,649,502,500,800,649,282,282,649,800,500,502,984,502,800,282,503,649,503,501,501,649,501,502,649,501,501,282,649,502,501,16,500,501,503,682,282,501,500,649,282,503,503,800,800,649,501,800,502,500,282,503,16,649,649,16,800,800,282,649,800,332,107,502,500,502,500,928,238,500,649,500,500,80,800,649,649,502,501,501,209,501,501,715,729,502,502,800,705,16,503,503,800,800,500,472,501,800,501,649,800,933,800,282,800,500,501,649,649,29,649,503,500,501,301,800,502,503,800,649,502,500,282,649,282,502,503,504,69,649,176,800,503,501,38,395,500,501,649,649,277,502,649,501,502,501,649,800,501,503,501,649,502,649,501,649,502,501,503,501,317,501,501,500,800,503,16,502,501,503,282,502,69,107,800,649,500,502,807,503,503,113,364,501,501,501,502,503,500,503,124,501,501,706,500,502,800,800,16,107,500,649,800,502,421,649,800,500,800,649,503,282,503,282,800,500,502,717,16,800,503,800,245,800,190,503,800,501,282,649,502,800,501,501,500,500,502,649,503,800,501,16,282,649,501,264,500,502,502,800,501,282,16,500,800,16,502,503,282,649,16,500,282,800,107,649,649,501,405,282,800,503,503,649,500,16,800,500,501,501,500,503,649,503,503,800,443,821,800,502,503,945,500,110,800,709,282,504,800,403,500,649,800,649,503,379,428,649,500,800,214,500,800,846,649,649,503,503,501,16,501,502,800,649,502,501,502,502,501,501,501,500,501,649,503,502,282,649,649,501,649,504,503,503,501,502,501,501,282,502,649,501,649,282,503,503,131,649,500,103,564,282,500,649,503,501,502,282,800,173,800,503,501,649,503,501,649,502,501,503,575,501,282,503,501,500,16,503,800,502,800,282,355,501,649,282,800,885,56,800,282,328,501,800,492,502,800,807,107,445,282,800,800,649,504,500,500,421,501,503,800,649,113,649,501,503,800,501,282,282,500,800,503,503,16,800,502,501,282,502,502,800,649,854,800,289,121,502,29,501,500,500,501,503,502,502,501,855,649,500,649,501,504,775,649,502,503,503,501,502,502,126,649,800,503,502,282,502,800,800,502,765,502,502,501,503,500,501,501,478,282,282,16,800,503,502,16,503,503,502,501,426,430,500,500,282,649,501,282,520,502,501,503,500,502,649,502,504,282,282,277,503,588,502,501,503,501,800,16,501,501,503,501,649,502,501,502,143,800,501,504,731,519,800,649,503,500,535,502,501,649,800,649,649,649,502,282,800,500,16,503,502,504,500,800,649,501,16,503,282,800,501,16,503,800,649,500,649,16,503,800,282,478,502,501,500,502,705,649,500,504,286,282,500,649,800,282,502,503,649,502,107,502,500,502,503,103,282,501,503,503,800,500,501,806,98,501,500,502,800,222,649,281,534,649,282,501,504,501,649,800,649,503,480,27,415,282,500,58,994,501,321,44,649,800,502,501,282,500,501,501,649,501,16,800,503,801,501,502,88,16,637,502,501,503,503,503,501,500,107,16,800,503,16,500,800,282,705,800,500,649,503,500,500,503,282,16,500,501,282,503,649,282,503,649,107,548,750,500,503,502,800,503,800,501,649,649,649,649,502,103,501,649,649,649,800,500,282,503,649,287,649,503,500,500,282,800,649,502,282,502,649,500,800,501,502,501,503,649,800,502,432,503,943,935,800,502,502,765,800,716,838,503,501,968,800,500,503,7,800,800,282,16,503,501,501,617,649,501,502,649,500,107,503,800,282,502,500,501,649,649,501,500,16,649,282,503,800,282,378,800,16,404,501,504,500,16,16,502,923,649,649,501,800,503,649,501,500,501,500,501,282,608,502,500,800,649,282,503,107,500,501,16,503,800,107,800,724,501,501,841,649,501,800,500,16,753,501,649,282,800,503,501,649,500,502,459,502,503,501,503,649,502,502,274,500,501,501,501,649,103,501,649,107,504,503,500,500,500,16,800,800,503,502,800,503,814,500,501,501,504,649,500,649,501,649,462,472,503,800,501,501,500,503,800,500,282,800,800,500,500,282,16,231,757,503,648,282,951,471,800,504,503,502,649,503,282,501,800,501,503,503,500,501,502,282,834,502,649,501,610,649,501,800,503,503,96,800,16,502,502,503,800,282,500,800,800,649,502,800,800,500,503,800,649,500,649,649,503,502,649,501,649,500,500,501,800,649,104,503,800,500,500,501,502,800,501,502,502,649,502,503,500,282,503,500,649,501,502,862,649,282,210,649,649,503,501,649,500,501,990,16,501,649,504,500,503,225,282,649,800,502,501,282,16,501,282,800,463,503,501,500,800,662,800,800,501,282,503,800,500,503,649,503,800,502,282,553,503,501,282,800,649,800,504,800,563,800,282,800,157,490,800,649,282,501,500,501,800,500,501,503,787,501,503,649,503,800,649,800,282,649,800,500,503,800,705,501,800,501,282,503,282,503,282,574,800,649,502,929,800,503,720,282,5,500,503,501,16,502,501,503,796,800,16,502,501,16,502,502,500,501,501,501,502,503,107,502,282,503,809,501,501,800,503,649,800,502,800,649,500,800,649,800,500,500,500,800,800,649,107,503,500,282,649,195,500,503,16,500,501,649,139,502,800,649,649,502,405,501,501,499,532,504,503,613,503,131,282,502,968,504,501,501,107,800,649,845,282,501,500,504,667,779,503,800,649,503,649,503,503,501,500,501,503,776,649,500,282,800,800,503,649,501,950,649,182,800,500,503,649,16,403,649,503,800,501,649,282,649,502,503,705,800,502,282,501,800,500,258,800,502,537,800,502,16,502,503,500,649,375,500,500,501,502,16,649,500,504,502,500,800,160,503,800,503,503,501,650,502,504,800,800,501,502,210,649,501,176,502,282,502,502,800,502,282,800,649,649,503,800,282,800,800,16,503,500,500,501,800,500,500,891,649,500,502,503,282,649,502,501,501,502,649,649,501,503,800,282,500,513,503,649,502,459,282,649,500,800,536,367,800,502,500,649,649,501,500,501,282,800,500,800,503,800,107,649,16,38,502,649,800,649,500,504,800,445,649,800,504,282,506,800,502,501,800,503,501,649,705,502,800,877,503,649,502,800,800,501,501,16,649,101,800,800,503,649,500,503,96,503,502,501,16,502,800,503,501,649,282,327,282,389,921,501,162,502,500,800,649,649,71,649,501,282,502,16,503,502,800,502,499,503,166,502,501,503,501,501,800,151,502,500,502,282,282,501,500,501,500,649,282,99,649,500,504,800,269,653,800,500,502,502,800,501,649,501,500,503,649,501,503,957,501,554,501,501,501,500,502,800,301,649,16,501,504,246,800,800,503,431,800,649,502,649,500,258,501,501,501,16,282,800,649,502,800,500,500,502,330,502,812,16,501,282,649,503,501,503,502,503,502,649,649,649,282,725,500,503,800,800,144,501,502,649,394,503,103,502,649,500,16,500,500,649,279,500,649,502,503,502,649,649,800,800,503,503,503,242,133,649,503,502,503,649,649,503,500,109,210,800,503,800,800,489,500,503,649,282,504,596,542,500,800,16,500,282,649,800,282,800,282,649,593,800,500,500,282,500,501,501,16,179,502,649,503,800,649,500,503,501,501,500,503,387,800,649,503,649,501,649,649,313,501,7,800,649,501,501,502,500,282,500,503,503,800,566,501,503,501,37,502,500,892,502,649,501,649,500,503,503,649,649,503,649,817,424,282,800,503,500,503,477,500,800,504,794,502,649,800,502,501,649,800,500,502,502,503,502,500,503,500,501,500,502,800,502,282,649,649,320,282,649,502,503,502,800,926,800,500,282,501,500,502,649,501,649,503,800,501,502,649,500,800,648,500,500,649,500,503,503,503,502,16,649,503,501,780,649,502,503,500,500,500,649,501,501,503,649,502,502,502,282,503,282,16,500,503,503,649,503,649,100,500,503,282,500,800,502,502,282,800,500,649,800,16,502,52,500,282,705,500,503,501,282,502,800,500,503,649,282,502,500,504,745,147,500,500,502,282,501,306,649,148,501,500,857,800,501,502,282,575,503,649,503,282,387,500,394,649,282,12,501,504,800,27,503,800,500,599,503,374,500,500,649,649,503,649,282,106,66,689,800,107,500,649,502,503,692,501,502,502,502,649,107,500,529,503,501,800,967,500,649,800,282,502,649,282,800,503,649,282,133,501,503,282,500,800,800,502,503,282,83,282,575,503,500,800,501,649,501,649,501,16,800,501,908,503,800,500,500,503,800,649,800,800,578,800,504,282,26,501,502,503,649,103,800,649,917,800,501,282,649,503,649,502,649,92,500,502,501,282,282,500,504,800,107,282,107,500,672,16,503,649,503,800,649,500,107,61,501,107,282,503,502,501,282,500,649,649,16,649,503,503,800,503,501,649,502,800,503,35,800,500,502,649,501,503,282,501,501,503,983,705,503,500,671,649,800,800,800,502,501,649,649,649,912,503,16,500,502,282,16,800,500,504,419,807,159,282,107,887,649,502,502,503,502,503,649,649,503,800,649,502,800,800,16,800,800,500,649,503,503,800,500,253,286,501,649,584,502,504,502,501,503,500,282,502,800,16,502,504,502,648,860,502,625,649,649,502,503,503,282,282,649,500,886,503,800,649,503,16,501,503,503,42,503,649,500,501,501,503,767,649,503,649,649,931,500,800,180,214,16,503,800,921,502,502,503,500,539,800,649,800,649,800,649,800,800,502,500,282,502,500,503,502,282,501,800,282,649,502,800,501,503,282,500,503,35,501,503,501,502,489,503,500,649,503,649,800,502,800,649,800,500,502,649,282,800,504,503,800,501,502,282,649,344,800,503,502,800,282,649,503,503,800,649,503,649,649,503,503,800,282,16,767,649,800,800,500,501,501,355,800,500,502,488,758,503,500,807,800,503,501,371,503,501,16,501,282,501,649,502,501,501,649,500,800,649,473,800,636,500,800,501,649,282,503,649,800,649,952,503,502,649,500,501,800,649,800,501,502,500,501,800,800,501,503,649,501,501,500,502,502,16,716,107,501,503,560,649,501,282,500,503,98,502,16,649,649,976,649,128,649,282,500,649,503,649,649,966,500,800,501,686,502,502,502,500,502,502,503,649,500,217,841,500,16,800,354,502,16,503,503,800,282,502,800,501,282,503,107,503,503,282,501,504,502,201,105,649,341,501,282,282,282,204,649,800,500,500,282,649,503,282,501,502,502,264,500,282,800,502,500,501,500,503,282,800,282,800,282,501,504,110,500,501,800,282,649,16,502,649,800,500,502,501,503,503,500,752,503,500,501,103,502,502,649,502,800,649,649,535,488,649,800,503,649,501,503,282,649,502,460,282,649,504,503,501,500,2,649,502,560,938,800,800,502,66,800,800,649,500,503,503,504,502,501,649,800,503,503,282,649,500,800,502,57,399,253,255,649,500,502,500,800,800,282,16,500,501,501,800,502,501,649,241,649,649,501,800,282,419,800,800,645,315,501,500,800,649,501,502,16,576,503,697,800,649,676,800,16,282,800,502,502,503,649,800,501,800,500,501,501,282,503,800,502,634,205,501,16,500,282,500,800,501,500,800,649,582,649,649,649,500,381,275,575,503,502,649,503,500,107,800,500,649,649,500,649,500,165,503,500,500,502,649,501,503,500,501,800,442,500,282,501,503,800,500,500,13,501,696,501,16,649,502,649,502,501,501,800,800,504,501,800,502,500,501,503,500,831,500,663,649,503,811,131,543,800,500,500,503,500,282,501,236,282,966,649,500,503,502,500,800,500,800,500,800,171,282,800,501,800,107,500,282,501,502,502,501,649,800,500,800,500,60,501,16,501,503,16,497,789,501,16,500,503,501,134,649,512,649,649,800,800,649,649,501,500,500,500,649,502,16,500,781,500,648,282,503,500,503,649,503,649,648,502,800,503,500,501,649,503,502,800,501,282,649,800,500,501,649,503,800,503,146,649,502,800,501,501,800,906,542,649,501,501,368,800,16,649,418,800,500,503,862,649,500,800,228,500,672,649,502,503,800,501,183,503,502,502,500,119,502,649,800,502,282,103,503,502,501,987,501,649,502,649,649,592,503,649,282,758,502,649,501,502,282,502,500,282,107,649,501,282,500,501,501,649,800,837,500,649,800,501,501,500,502,649,501,503,800,500,800,649,800,500,800,282,649,501,500,502,282,500,501,503,500,501,500,282,999,544,501,503,503,464,502,502,501,434,503,800,502,502,502,501,503,501,500,503,323,800,501,503,800,10,649,195,800,500,649,503,503,258,800,16,649,500,800,502,500,282,503,649,500,282,282,590,800,500,649,501,103,800,502,503,503,502,981,731,649,500,330,500,800,503,282,503,504,500,282,16,282,800,500,800,503,503,502,649,500,34,500,500,500,501,282,282,502,609,282,501,282,800,501,502,800,649,501,839,16,500,800,649,502,638,503,501,501,800,282,649,503,800,649,714,502,282,501,501,502,649,800,649,502,800,504,503,502,282,649,503,501,480,503,502,501,311,800,502,501,501,503,263,282,502,704,500,502,649,649,25,500,999,501,800,694,800,649,501,905,502,649,649,282,800,503,501,501,502,502,500,649,501,107,502,590,866,503,500,501,502,501,409,319,436,502,561,649,501,500,501,16,502,282,502,959,649,500,769,500,502,502,800,649,502,801,649,800,16,649,282,502,503,752,501,800,503,800,649,502,501,649,500,501,649,500,500,649,501,463,296,649,960,502,504,502,502,167,500,501,503,649,500,800,502,649,800,297,282,282,503,501,502,569,649,503,503,502,502,649,649,372,800,500,502,649,500,800,500,282,220,16,895,568,503,502,500,649,107,500,649,649,531,282,800,800,501,800,16,501,947,897,501,502,501,800,270,502,649,649,282,503,764,501,502,649,800,504,500,500,500,800,500,503,501,501,107,501,651,503,501,460,501,800,282,501,501,820,800,501,500,162,46,501,649,107,500,649,504,16,422,503,649,800,800,800,501,501,480,999,211,502,502,16,501,946,501,500,500,800,500,501,501,501,649,16,500,800,503,687,501,649,800,649,501,649,502,500,501,860,502,504,800,501,500,500,501,17,503,502,649,503,649,428,502,501,502,501,500,582,503,800,502,500,800,503,649,829,16,800,649,501,107,500,49,500,800,606,502,848,800,504,501,962,649,501,503,503,759,282,501,504,503,800,800,16,503,282,503,500,282,503,282,800,649,501,262,501,504,504,185,103,502,500,503,649,282,800,501,148,501,282,502,501,503,500,500,500,503,596,649,502,800,501,800,800,282,649,500,649,501,500,500,503,282,649,282,59,649,649,775,282,800,800,501,502,16,500,150,800,16,350,600,16,502,649,16,800,502,501,503,501,800,16,282,500,502,503,502,500,823,500,503,649,800,501,570,503,649,503,800,503,641,503,282,500,501,501,501,282,502,190,501,501,501,503,501,649,503,728,282,649,466,500,282,16,503,502,500,649,557,282,501,500,863,211,800,501,500,649,282,649,501,800,503,16,282,500,503,126,501,504,504,501,501,500,502,502,508,500,800,502,503,649,503,800,502,500,852,503,800,282,649,613,502,218,649,503,10,16,504,503,800,500,282,649,800,649,282,800,649,503,800,528,800,500,501,503,282,800,500,649,800,16,35,16,16,502,503,502,503,502,501,649,649,500,800,503,649,503,224,610,500,333,103,501,500,373,501,103,502,502,800,500,501,649,16,649,501,800,503,500,500,500,800,398,503,504,800,502,500,800,165,500,503,727,500,649,649,501,501,977,649,500,649,500,282,282,503,165,504,502,649,649,465,501,500,504,502,501,16,649,500,630,501,503,501,280,503,791,502,649,800,503,501,500,282,503,500,502,649,500,501,649,503,649,800,649,101,649,800,800,649,500,503,503,800,800,16,16,502,502,158,282,500,501,500,502,500,16,500,503,16,800,800,591,500,503,502,649,502,502,500,649,503,500,501,649,504,503,502,503,649,649,282,800,500,649,16,500,502,501,800,502,500,503,107,500,649,500,501,500,503,649,501,800,503,502,107,649,502,800,649,502,503,501,800,502,649,649,501,502,502,649,800,282,502,500,325,500,103,649,16,339,800,649,136,800,649,502,649,501,282,800,503,502,649,502,800,503,994,503,649,800,649,500,500,503,501,649,501,500,503,800,800,800,500,199,649,503,502,649,503,800,282,500,503,500,501,502,767,673,502,502,502,503,501,800,649,282,500,501,800,649,16,871,500,500,501,72,501,500,502,763,649,501,451,501,500,503,500,504,800,501,649,502,503,503,501,503,800,501,649,800,503,107,504,282,502,502,282,649,502,800,800,501,502,649,800,883,196,504,503,501,800,500,500,649,649,649,800,282,800,18,336,501,649,503,501,974,501,503,282,649,282,771,500,501,800,502,282,282,500,500,501,502,501,502,503,800,501,503,500,500,501,503,800,500,800,649,282,500,502,16,800,840,800,282,800,503,16,800,282,649,282,649,500,649,800,649,503,371,500,979,500,878,504,800,800,464,501,800,282,502,705,282,800,649,503,503,501,502,800,501,800,501,502,503,501,500,649,984,532,800,504,502,502,649,502,282,649,501,500,800,501,500,500,502,502,502,500,500,800,501,502,649,500,503,800,649,649,502,800,500,503,800,228,501,502,800,635,501,500,502,649,800,800,501,501,501,500,503,503,490,800,500,649,501,763,501,503,898,896,649,649,501,649,501,503,501,501,280,503,500,501,503,501,518,649,800,107,654,500,649,998,500,503,649,501,800,501,282,649,649,501,504,501,814,349,107,503,282,800,845,500,649,649,501,800,501,500,504,501,500,501,503,501,504,649,649,874,503,501,282,282,800,501,16,502,502,503,500,16,16,282,501,503,649,503,649,500,649,503,282,800,404,500,502,282,284,282,503,500,501,503,503,501,649,502,503,504,501,503,500,502,649,649,501,501,800,502,607,503,16,282,503,800,16,800,503,501,282,501,649,501,404,45,282,502,282,649,781,502,501,493,500,502,282,800,502,501,502,503,500,501,800,500,16,502,649,501,502,766,501,503,649,728,649,800,800,503,16,501,502,504,502,282,500,502,502,282,649,504,501,649,502,500,649,500,502,649,502,501,500,503,649,649,503,680,649,501,502,282,501,501,500,282,502,500,649,649,800,800,502,649,945,282,649,500,800,503,515,282,570,501,502,16,282,503,501,502,800,649,501,649,800,503,649,500,503,649,500,500,860,502,649,16,501,502,282,500,500,500,800,800,16,282,501,282,500,800,649,502,16,501,649,16,800,800,800,502,800,500,502,649,282,649,649,501,800,502,649,649,500,503,502,16,501,503,500,649,100,560,297,503,649,649,282,500,140,501,282,576,503,501,500,502,897,500,16,649,501,501,649,502,501,502,107,16,501,107,282,282,800,503,649,500,503,899,16,800,500,282,282,503,502,124,649,594,309,501,503,503,649,918,502,503,800,503,501,501,501,503,500,502,66,503,501,800,649,800,611,502,104,16,649,503,649,282,282,502,677,800,800,800,500,800,500,500,800,284,503,500,503,502,502,501,503,649,282,502,800,501,800,501,649,500,604,449,16,503,502,649,502,503,649,504,26,649,800,503,501,502,250,800,503,202,649,800,500,88,501,649,501,282,500,800,800,503,902,649,501,391,500,649,800,501,800,503,500,800,502,800,870,503,502,649,503,649,503,501,500,503,501,800,377,817,16,500,500,649,649,504,989,282,649,649,502,500,649,16,800,800,22,649,503,649,457,502,498,500,502,800,107,649,16,501,503,503,800,503,282,501,501,501,504,502,963,503,502,800,800,503,502,800,500,16,502,800,501,503,502,165,502,282,282,502,501,502,800,500,181,503,800,504,800,500,503,800,503,800,501,282,974,502,503,502,502,90,649,649,282,503,503,502,502,502,503,502,500,589,502,649,649,502,282,500,534,649,504,800,649,502,800,667,649,800,132,649,800,503,792,649,800,503,502,504,501,103,502,16,282,503,649,800,800,500,500,503,649,501,503,282,500,500,500,500,800,500,800,800,982,501,502,501,503,500,649,596,800,471,502,500,503,500,503,2,478,500,800,16,503,503,502,47,282,649,602,800,500,501,500,501,503,79,282,632,502,500,500,502,502,500,501,800,500,503,502,649,500,501,13,503,321,501,649,502,503,282,501,551,649,501,649,500,501,502,503,502,800,501,502,503,502,16,500,800,282,503,503,503,282,501,585,649,282,503,649,649,758,503,282,502,501,500,502,800,16,503,649,389,501,384,876,649,501,630,501,273,914,800,502,800,649,502,500,503,282,649,649,649,649,503,503,501,500,649,390,800,501,671,502,500,502,541,800,107,336,211,649,503,501,649,649,800,800,501,502,504,503,282,503,503,649,501,293,800,36,501,500,649,502,502,501,649,739,503,503,501,107,649,502,502,500,502,16,649,503,16,502,280,800,1,502,501,500,800,800,503,502,841,800,503,800,16,501,800,103,282,500,649,282,503,500,649,649,75,500,501,94,649,500,503,800,282,502,719,649,649,282,502,503,501,500,680,501,282,502,500,649,482,500,501,500,800,649,649,501,800,502,502,294,502,800,282,635,649,502,502,501,620,800,649,282,503,649,502,282,499,107,649,501,502,649,649,501,16,503,500,74,504,282,501,282,500,47,800,282,501,501,502,107,800,500,649,435,800,485,282,502,80,502,503,800,501,800,501,800,502,282,500,503,107,503,107,16,500,501,16,503,16,502,492,500,503,16,503,500,501,503,800,502,649,800,501,800,502,503,367,501,282,501,800,502,50,502,501,43,501,502,500,358,500,501,504,500,800,502,16,500,500,35,800,649,502,502,500,282,501,501,501,502,649,993,502,502,282,74,502,800,500,649,649,500,502,503,501,501,705,502,282,502,649,282,800,501,500,43,568,500,502,503,282,501,503,649,500,649,500,502,800,282,501,282,502,16,63,500,379,501,502,502,282,649,501,800,479,800,501,658,800,649,502,649,502,800,501,500,234,503,649,503,503,502,500,800,501,453,649,502,503,282,649,501,501,502,502,500,501,501,503,500,503,841,500,649,116,502,16,501,501,800,500,649,502,501,282,500,800,641,800,800,502,502,282,649,649,16,501,500,502,800,16,282,502,34,800,503,649,441,503,503,800,500,800,338,800,970,502,501,180,414,501,503,800,501,649,649,216,501,501,282,501,107,502,501,16,282,337,503,649,501,800,800,472,502,501,649,282,500,594,24,500,800,501,688,501,500,500,800,500,501,649,503,500,649,503,800,107,107,501,501,107,649,649,800,501,501,502,503,180,501,500,500,500,503,649,649,502,649,504,649,500,501,501,649,503,503,500,504,107,800,282,500,500,521,500,502,779,503,800,502,501,800,500,501,503,250,500,501,503,649,649,501,649,501,500,500,503,503,800,502,501,502,501,192,502,282,800,500,503,649,649,502,501,503,502,649,282,800,502,502,807,649,941,16,502,649,282,649,504,501,649,502,649,504,649,503,649,501,16,501,501,503,649,501,503,16,503,76,504,500,500,503,501,649,501,502,503,500,107,500,800,502,502,587,282,502,500,649,107,649,800,503,282,500,500,649,649,502,649,503,502,649,800,500,503,676,282,800,501,500,501,504,537,502,800,134,649,500,501,649,649,534,800,16,282,282,500,282,503,800,909,502,649,502,649,649,800,501,503,16,504,649,503,503,249,503,649,482,503,500,501,501,800,649,800,16,502,282,500,501,649,502,800,649,500,500,649,800,502,800,800,501,501,107,800,503,800,500,351,501,16,649,501,16,649,501,501,501,501,16,501,796,503,100,649,800,500,16,281,319,501,800,103,681,800,282,649,800,502,809,107,504,503,501,501,500,322,649,500,503,502,282,500,800,500,500,500,501,79,502,800,503,502,16,501,502,503,502,800,501,282,503,251,500,500,800,502,649,503,227,503,807,504,500,679,500,649,504,18,649,502,500,503,649,282,800,800,800,500,217,649,282,800,501,107,500,598,503,501,503,649,503,501,501,649,500,500,936,800,649,5,800,800,32,16,649,501,800,501,500,667,282,500,504,282,501,107,500,503,800,800,502,800,649,649,58,463,263,313,198,947,502,366,502,649,502,501,800,501,800,16,502,790,800,800,800,623,282,500,502,502,502,501,503,329,948,800,827,800,282,501,778,800,800,16,502,728,500,800,503,503,800,865,502,500,282,800,502,501,282,649,487,502,502,649,501,504,501,282,500,800,800,500,282,502,800,501,649,282,502,800,503,503,282,77,503,72,500,800,503,800,649,502,502,16,500,800,500,282,503,649,649,500,800,503,708,282,500,282,502,500,500,16,649,502,502,800,446,282,800,500,107,806,16,502,649,649,500,503,800,784,107,649,649,16,501,16,16,502,282,800,500,649,501,500,503,800,503,648,649,500,503,282,501,649,930,503,800,649,503,282,800,501,800,503,363,649,416,853,840,501,500,500,225,16,649,502,800,282,649,503,501,800,501,649,800,502,800,486,282,503,503,503,501,800,649,649,800,800,16,282,288,500,649,500,501,502,503,649,649,503,450,649,800,501,649,649,502,502,502,649,649,501,800,500,282,503,503,500,500,30,649,501,649,438,502,501,140,16,500,501,503,501,800,502,800,363,649,800,502,16,800,501,263,800,308,649,16,501,16,649,282,800,40,504,281,282,502,500,502,870,503,500,800,501,649,504,649,361,282,500,265,800,500,500,649,500,501,503,282,390,649,503,556,800,501,649,649,989,502,501,832,601,503,503,501,500,282,501,502,501,649,502,649,501,502,501,500,501,502,504,501,527,16,503,282,501,503,501,502,503,503,649,308,500,800,500,649,609,649,500,649,800,16,350,649,800,500,800,800,930,502,800,501,800,502,800,500,503,500,503,500,988,487,649,503,282,500,502,800,503,503,502,107,503,800,969,501,800,16,502,501,282,501,502,649,78,502,500,500,500,501,649,16,831,16,649,500,288,649,800,649,232,502,649,501,500,500,267,100,103,500,503,503,645,649,945,734,282,500,354,502,16,282,503,501,503,120,649,502,16,501,282,800,16,800,16,282,503,843,282,800,649,503,501,282,649,107,965,800,800,503,975,800,500,502,880,501,503,501,282,800,501,503,649,16,649,858,503,144,501,500,503,503,800,649,500,503,16,859,16,649,501,542,500,649,282,500,649,502,282,500,500,800,500,649,800,501,501,800,503,503,500,800,502,500,547,503,800,500,500,119,224,800,715,800,138,610,531,800,503,282,500,501,800,107,502,273,439,503,649,500,500,341,16,502,501,800,500,502,502,501,501,503,500,502,800,129,500,502,500,800,502,282,649,649,503,502,500,503,649,529,649,876,500,502,282,500,502,800,800,800,502,800,501,800,364,500,500,503,16,504,137,502,800,502,649,500,502,282,800,800,502,501,600,800,501,649,502,282,501,502,502,503,502,502,282,649,501,16,500,800,800,503,502,502,256,759,800,502,500,502,905,751,500,649,282,501,282,502,631,282,118,625,800,500,502,800,502,500,734,523,649,501,649,502,503,501,800,501,500,800,800,503,800,649,13,16,800,282,504,503,501,800,649,503,500,223,502,649,503,282,800,282,500,800,269,500,503,502,800,649,649,800,503,16,503,800,335,800,501,968,649,649,375,649,16,502,501,107,800,736,502,888,501,500,503,800,800,500,141,339,502,800,500,282,500,800,282,548,502,282,502,500,502,502,800,502,649,502,502,800,501,282,649,503,649,503,500,500,282,501,500,282,649,503,649,800,501,501,800,500,228,920,282,500,800,649,500,756,502,649,501,803,649,800,649,16,282,500,361,649,500,500,800,16,800,889,103,107,501,800,282,504,898,500,649,500,649,500,503,502,720,502,502,500,433,503,504,502,320,503,500,800,500,501,501,501,503,500,502,503,282,282,661,500,587,800,282,503,698,502,458,649,347,649,502,502,282,503,502,500,649,814,502,500,282,800,800,649,790,962,89,503,773,465,502,502,282,501,501,501,649,800,501,16,501,503,501,586,649,500,282,649,334,649,501,800,503,282,800,501,16,649,503,857,649,504,503,501,503,502,503,503,501,282,500,16,875,649,282,500,800,501,649,501,503,500,958,282,503,103,503,649,282,500,649,649,500,502,800,807,16,500,800,500,501,501,503,908,800,649,724,800,503,504,282,800,502,503,649,282,501,503,649,800,500,502,503,502,649,800,649,207,800,502,502,649,504,500,502,503,500,202,800,500,800,649,501,649,649,107,800,502,800,502,16,503,800,629,694,500,503,503,502,501,503,502,649,649,16,503,800,503,500,503,660,282,501,800,502,501,500,649,649,800,501,500,502,649,501,503,854,503,502,500,800,500,502,500,502,501,649,503,501,282,408,649,503,500,800,649,800,802,547,649,501,502,649,501,503,800,501,282,123,864,500,855,800,16,16,504,363,649,503,800,800,800,84,649,502,501,800,502,502,502,500,800,500,800,501,503,501,203,649,649,800,649,503,502,16,501,800,504,503,135,501,948,500,649,282,649,649,500,282,500,649,649,892,927,358,502,282,500,909,500,946,500,649,649,649,501,502,503,501,500,649,107,502,800,247,800,502,501,501,503,500,282,649,500,500,649,502,502,500,16,800,501,501,503,502,649,500,501,502,503,800,503,649,503,16,682,503,500,503,500,800,501,500,282,321,289,553,501,282,503,800,16,649,500,503,17,16,501,282,649,649,503,649,649,107,16,500,920,282,500,800,502,500,503,503,502,800,800,503,503,503,501,501,282,500,649,502,503,800,502,500,649,501,649,439,282,503,649,502,800,800,906,649,502,503,502,761,500,649,649,500,16,502,649,503,649,649,282,834,282,501,502,500,504,503,282,649,649,500,282,282,800,500,501,500,500,502,502,107,503,649,500,897,502,504,503,500,649,503,502,16,503,501,500,504,282,500,503,172,501,501,649,501,501,282,800,282,16,501,800,366,766,503,800,755,503,503,500,800,500,228,649,16,500,502,800,282,500,282,501,500,500,502,800,502,282,649,282,504,500,649,649,503,62,282,16,500,657,357,16,889,501,501,501,503,800,501,501,916,800,649,167,501,502,800,849,503,500,500,500,67,502,500,282,501,282,500,649,649,500,705,649,503,503,649,800,503,501,649,16,649,649,324,649,503,501,501,282,649,649,800,649,501,649,800,649,501,500,800,649,532,102,502,103,501,800,649,800,501,649,504,282,136,501,16,649,501,800,504,503,800,16,503,500,500,501,503,503,16,503,503,649,649,504,16,649,502,282,677,800,500,501,800,503,503,502,502,502,885,487,649,282,182,881,503,800,503,649,282,649,500,500,502,800,500,501,649,282,501,503,649,500,800,500,501,501,997,800,501,500,16,501,649,800,501,282,502,504,458,502,898,500,500,282,500,800,500,500,501,503,502,956,503,781,501,389,502,501,501,768,800,501,649,871,500,502,503,800,502,282,501,503,501,649,800,503,282,627,503,503,500,382,649,503,649,649,282,500,282,502,504,502,8,837,502,800,502,501,282,501,500,500,502,500,503,679,800,282,503,654,501,649,16,649,500,649,503,800,501,649,500,503,800,800,501,501,501,504,503,800,502,666,649,502,103,502,502,502,503,500,649,460,502,502,172,503,800,800,912,502,44,501,800,503,800,800,282,901,503,800,503,107,649,500,649,16,502,649,501,649,800,500,800,800,503,500,282,501,734,501,854,500,282,504,503,107,800,502,800,726,503,649,502,503,500,502,503,800,764,649,800,503,503,500,649,504,500,500,649,503,503,503,500,502,649,502,649,16,839,356,16,501,649,501,702,800,427,282,107,649,501,502,502,500,305,501,502,501,16,501,501,503,502,503,800,16,502,501,500,800,800,502,501,502,503,502,727,503,501,800,807,649,649,501,502,131,282,501,224,51,262,502,16,503,719,800,501,649,212,740,800,649,501,800,501,501,500,800,649,503,649,502,503,503,503,503,649,503,500,800,282,500,800,500,800,649,500,504,16,6,504,16,800,503,500,649,503,502,500,500,282,282,503,16,930,503,955,800,16,649,800,500,503,503,502,500,919,501,500,365,800,502,148,800,282,500,282,160,800,800,649,502,946,500,800,500,154,500,502,501,500,800,501,649,800,501,503,800,282,800,501,649,16,649,502,503,500,501,830,501,501,800,800,500,800,504,501,690,129,500,501,501,800,500,800,502,502,500,502,800,502,800,722,502,649,649,644,501,502,503,500,649,500,649,943,503,282,107,419,500,649,282,502,504,503,502,503,350,502,501,649,973,500,502,649,503,800,800,17,800,502,503,503,501,800,503,503,649,502,649,649,635,502,503,503,649,501,800,16,649,502,501,649,282,503,502,800,503,649,649,502,501,649,282,800,282,500,502,649,821,282,500,16,501,649,500,502,503,676,16,503,503,800,502,500,501,502,500,800,503,39,367,503,693,504,800,502,800,501,800,500,975,501,501,502,504,720,103,227,731,16,503,500,500,800,649,500,282,503,491,503,218,649,503,282,800,502,599,274,282,649,503,649,503,503,649,503,649,503,503,807,16,115,501,16,500,500,502,189,649,500,500,503,800,500,649,503,240,503,502,501,502,282,500,107,502,503,502,800,503,501,501,800,500,500,501,649,282,800,544,649,503,282,649,503,649,503,649,503,500,502,501,501,649,502,800,800,503,500,500,16,649,299,649,649,502,649,71,649,810,501,502,430,800,129,531,502,649,503,503,503,361,800,502,16,649,502,500,800,800,649,103,503,501,497,800,800,500,282,503,800,800,793,503,501,500,504,649,800,502,649,649,649,155,800,649,5,501,504,503,649,800,103,800,501,800,500,501,282,502,649,502,800,800,503,282,504,502,800,344,649,504,282,501,502,800,501,502,500,500,500,800,501,502,501,500,432,500,503,502,502,501,438,707,503,500,16,500,800,500,502,800,211,605,649,502,501,16,503,503,503,503,132,800,501,800,282,736,502,16,501,503,501,649,734,800,649,983,873,503,503,500,503,502,503,649,503,513,767,327,500,846,584,501,649,800,500,502,103,503,501,800,127,504,504,500,800,800,502,504,503,503,503,501,282,282,501,800,501,501,649,503,501,254,800,509,500,649,503,500,500,282,502,157,501,503,501,500,731,502,501,500,500,502,282,503,649,800,501,504,501,335,501,502,502,500,282,282,500,501,501,944,649,502,501,800,498,501,501,800,146,800,649,800,282,282,649,649,800,800,108,16,501,649,651,800,503,105,800,282,500,174,934,501,800,102,503,800,502,3,896,800,502,500,501,649,800,500,253,502,504,500,502,500,914,571,800,282,503,502,437,501,502,649,502,590,500,16,800,282,705,503,282,500,502,502,502,501,649,501,800,502,500,649,502,649,282,282,667,16,503,483,649,399,501,500,503,282,502,635,501,503,828,500,800,521,501,502,500,503,800,800,282,501,500,282,503,500,501,503,500,800,304,977,500,800,500,457,800,100,502,500,502,500,501,282,500,500,501,282,16,282,132,502,649,503,649,864,282,501,503,442,800,282,500,503,282,503,800,502,502,649,800,500,502,502,649,500,924,500,800,282,502,501,502,282,282,500,800,16,502,500,90,501,649,649,957,649,501,649,500,282,649,502,16,282,649,649,503,503,501,800,705,501,649,800,800,500,282,16,403,800,103,649,502,800,502,501,649,800,282,502,502,282,649,800,501,649,16,501,649,649,649,501,16,500,794,800,501,504,649,502,353,933,502,242,501,282,16,545,107,500,486,800,617,487,649,501,407,501,649,800,936,800,401,500,500,501,649,503,800,501,416,503,649,504,500,16,503,63,649,502,649,502,649,500,16,282,282,500,501,502,800,37,800,846,500,501,436,718,500,800,800,649,16,582,645,800,420,282,503,503,649,500,501,301,501,964,504,502,500,800,500,598,649,800,156,500,501,851,500,500,649,282,800,800,800,503,500,800,501,800,500,649,490,800,503,501,503,501,504,500,781,503,504,30,856,503,282,649,502,502,468,282,501,500,501,649,800,649,500,800,107,501,501,800,500,500,502,502,566,501,649,501,649,800,500,502,501,500,503,502,500,800,185,500,500,649,502,179,103,877,800,800,934,502,282,503,893,115,705,502,500,501,503,113,502,692,800,504,500,503,503,800,502,800,503,649,500,107,501,282,800,282,501,800,503,500,503,500,501,800,500,692,800,649,502,501,800,282,425,800,500,502,972,503,649,800,503,502,649,649,107,768,800,503,501,800,649,500,500,502,501,282,501,796,655,501,282,502,500,503,503,282,800,500,500,500,503,282,502,501,908,500,649,501,30,800,282,888,649,844,800,765,501,503,638,649,800,501,501,800,13,800,500,800,502,649,112,800,501,800,500,502,800,143,501,501,282,502,501,502,501,718,16,502,500,800,343,501,955,503,800,502,500,500,32,502,500,500,800,16,800,577,502,501,649,167,502,649,501,502,16,800,501,800,44,501,969,504,800,800,282,126,649,12,163,301,503,500,501,649,502,502,503,501,800,649,502,793,502,501,800,500,501,449,502,5,501,503,800,235,500,649,501,649,807,500,800,502,649,502,695,649,501,649,649,800,16,487,649,282,500,800,649,503,705,500,500,649,500,503,500,800,800,503,649,500,501,500,501,500,502,800,857,649,500,501,500,501,103,500,369,502,500,501,800,500,502,649,800,785,501,16,503,383,503,282,802,504,500,502,503,622,16,500,41,800,107,500,649,503,500,503,107,714,16,500,503,502,503,501,800,904,800,649,16,503,282,800,809,500,649,282,501,649,502,898,500,435,800,500,503,282,342,16,501,502,503,503,649,282,501,500,454,500,649,500,501,500,75,502,502,800,800,500,502,501,16,16,649,649,501,800,500,501,800,16,103,503,255,800,649,800,569,502,103,649,800,502,503,502,500,500,891,800,800,800,282,649,503,567,282,504,501,500,503,282,800,501,649,649,502,500,649,502,500,705,502,649,503,501,504,800,649,649,500,503,177,502,501,282,502,500,16,502,649,800,16,100,649,649,282,16,800,501,649,500,501,500,360,502,209,649,649,504,282,649,501,501,501,503,649,282,503,649,715,500,691,800,502,800,503,800,503,282,547,649,800,649,964,700,503,500,107,16,649,503,500,649,373,649,800,500,800,141,501,282,503,800,649,98,500,502,223,649,800,503,502,649,501,500,282,282,649,800,103,503,649,501,649,47,503,282,272,501,800,667,800,621,463,800,19,503,644,282,500,649,502,841,800,502,503,122,107,502,800,501,503,282,501,500,502,649,502,503,649,502,500,118,504,800,680,502,649,282,107,503,649,500,500,500,501,502,500,500,501,500,800,503,800,501,502,649,649,951,649,224,649,16,656,500,649,649,541,649,800,649,800,500,800,500,501,103,502,500,145,649,649,800,502,471,649,501,800,501,99,649,800,502,800,501,503,504,502,500,500,800,866,503,800,502,649,649,502,800,16,502,501,502,939,502,496,500,308,356,503,502,649,282,382,502,800,501,282,502,501,503,504,649,504,500,503,800,502,649,282,501,29,501,800,503,282,502,500,106,107,501,501,800,501,503,800,500,504,947,500,107,16,251,503,503,501,649,800,501,518,503,500,500,708,800,500,16,649,503,502,209,800,907,649,502,500,16,500,764,668,381,500,282,500,500,504,800,501,107,649,501,501,649,500,649,503,800,500,800,501,800,500,800,500,282,649,503,503,504,16,501,282,705,501,649,649,520,501,649,282,503,503,503,503,221,500,649,16,503,800,502,800,282,800,800,503,800,800,282,932,500,649,16,503,312,500,282,503,16,16,500,503,500,649,800,800,502,501,828,503,649,502,501,503,649,500,501,503,976,661,503,502,800,501,502,503,500,759,500,649,503,502,649,502,800,800,501,503,500,813,500,500,800,408,502,800,500,800,649,649,800,502,501,207,16,16,906,502,504,649,800,282,501,500,500,500,501,501,649,500,502,503,503,501,282,500,282,703,500,503,649,501,503,504,800,500,502,503,649,282,872,504,501,502,503,500,503,501,501,500,800,800,757,800,16,891,16,649,649,503,282,221,501,503,792,500,16,500,800,500,502,649,282,649,500,502,500,500,502,503,501,504,649,452,501,502,800,503,800,800,954,475,500,503,282,336,501,800,282,503,800,373,16,501,502,800,501,502,282,16,501,503,501,500,501,800,500,500,500,282,649,800,800,500,501,14,502,800,282,502,649,503,282,361,502,500,500,500,282,261,649,501,500,503,800,107,502,500,649,500,800,107,500,502,503,800,500,500,705,107,500,501,502,16,500,501,502,649,649,800,282,231,649,770,282,502,107,500,502,800,502,504,503,502,649,282,282,16,282,501,502,500,502,501,501,890,282,800,649,282,502,501,282,501,501,500,501,282,800,503,503,503,800,21,649,852,501,502,500,800,503,107,649,500,649,282,502,500,505,500,16,500,503,500,502,504,215,500,503,75,500,800,503,503,107,569,503,594,502,950,649,800,503,85,501,502,502,503,500,503,567,322,730,500,282,800,503,282,800,500,500,503,530,282,502,500,502,503,649,502,634,500,503,649,282,501,705,800,500,500,500,503,649,501,282,501,501,503,503,452,503,502,282,746,504,501,649,800,649,502,503,502,501,800,705,500,16,502,282,364,649,501,503,501,633,502,503,790,501,503,763,16,501,501,800,137,502,502,103,16,282,501,800,265,865,500,800,311,503,501,503,781,500,16,649,500,500,282,501,500,502,501,501,282,800,502,282,500,502,342,800,501,394,107,502,837,649,500,501,800,502,503,500,502,500,933,649,501,649,649,961,503,500,282,800,500,502,649,188,649,616,282,16,649,500,800,649,501,649,175,500,649,503,503,964,501,502,649,800,800,502,16,503,338,502,500,649,649,153,800,503,649,501,502,500,503,502,800,282,16,502,503,800,501,503,501,800,502,649,501,103,649,503,500,502,501,501,502,501,503,500,800,282,502,649,649,649,500,649,500,649,800,503,503,502,504,501,21,530,107,800,502,6,503,502,500,282,503,502,501,45,282,501,649,800,649,705,349,500,503,502,503,501,649,503,503,458,502,501,502,649,502,16,16,500,500,501,193,500,800,16,916,649,800,502,282,16,649,502,649,503,500,649,624,501,503,476,503,16,800,500,800,503,500,709,649,501,649,500,502,500,16,800,503,502,500,800,502,502,800,649,503,500,121,500,503,504,800,649,107,800,124,16,282,16,800,500,536,281,16,487,793,501,502,282,649,800,502,501,647,565,503,502,503,502,501,787,800,503,800,503,503,282,318,501,503,107,846,30,282,503,649,96,500,503,340,16,282,501,501,800,502,500,500,502,502,282,444,823,502,800,800,500,501,502,500,282,36,500,501,503,503,955,503,582,649,501,410,502,202,500,502,82,800,800,800,500,800,501,502,800,500,649,282,649,649,282,500,500,649,703,461,649,800,502,705,502,503,800,16,501,501,800,503,649,502,16,649,503,16,502,501,107,502,502,500,502,500,649,586,649,504,800,649,500,800,503,282,282,800,501,649,503,502,501,503,282,501,649,649,649,502,503,649,670,800,231,500,503,502,649,502,503,503,649,500,649,501,282,282,500,282,502,502,501,503,500,502,502,800,501,503,800,500,502,282,501,800,502,501,625,649,864,503,649,503,501,501,500,501,800,800,800,16,501,649,16,501,503,800,501,700,502,16,103,500,800,282,64,502,800,501,124,649,500,800,800,800,649,17,501,158,503,502,500,500,502,504,501,500,800,500,500,162,502,649,800,501,16,800,800,994,502,282,958,503,800,502,282,501,503,500,649,502,503,800,503,282,503,503,649,503,526,500,502,501,800,503,503,800,800,503,800,501,16,501,502,649,504,649,501,649,501,501,501,502,500,503,278,500,962,502,725,282,800,500,649,503,503,103,282,16,503,649,800,502,501,544,504,502,500,500,282,800,500,503,800,502,649,503,576,502,502,16,282,800,501,501,649,503,282,978,103,800,649,282,649,282,649,500,503,501,500,800,800,504,501,1000,500,996,500,503,501,746,500,649,800,649,994,649,800,800,500,500,502,503,346,531,282,375,649,500,503,800,503,501,500,649,649,502,503,501,503,16,500,500,800,500,503,503,502,501,649,503,656,500,800,613,503,500,501,16,500,635,504,503,643,800,502,500,500,282,167,16,649,419,501,504,501,500,501,16,501,500,800,649,800,689,800,263,501,503,502,503,503,800,500,649,501,800,800,501,501,649,282,503,501,503,500,649,649,500,502,503,720,503,502,366,440,503,500,591,500,500,695,504,501,502,503,502,502,502,502,817,790,501,16,502,503,501,502,649,501,500,649,375,503,500,500,501,502,500,103,500,282,16,500,500,503,800,649,649,282,800,800,501,500,500,501,500,500,503,504,500,649,504,107,127,16,503,500,649,502,282,282,503,502,649,500,16,500,282,500,502,800,649,503,503,649,282,800,103,500,800,503,649,503,649,705,500,503,503,282,16,293,500,500,371,649,649,501,800,649,800,502,970,504,500,501,500,500,800,557,500,143,503,800,649,503,649,502,500,501,649,649,800,502,16,339,282,503,966,502,500,649,500,66,649,502,800,800,500,111,649,501,501,502,800,800,501,800,282,502,800,212,502,107,698,503,596,211,503,789,282,500,504,649,274,800,500,812,503,501,103,807,502,604,464,500,800,954,504,503,500,502,282,440,500,800,649,282,649,503,503,967,502,282,503,503,503,502,501,501,800,502,282,501,500,503,501,501,649,649,502,501,501,503,800,502,503,892,500,503,503,500,501,649,282,282,347,420,16,502,502,933,500,504,501,800,282,945,901,502,501,649,503,500,503,649,800,800,500,503,649,501,745,501,990,503,501,502,502,500,649,502,503,800,502,502,16,500,800,501,649,714,800,800,417,502,800,501,800,649,501,649,282,502,503,282,502,800,16,773,649,649,800,649,92,502,501,502,16,502,800,501,113,503,501,501,502,800,239,500,503,500,501,649,800,500,502,503,135,503,500,500,649,502,649,502,800,800,500,282,502,649,16,16,831,987,649,800,649,501,960,649,503,649,800,502,501,500,800,503,398,649,502,800,107,800,800,502,649,500,800,503,503,213,800,500,282,502,504,501,649,504,57,800,501,503,503,501,649,500,501,503,504,501,503,503,501,500,502,800,282,800,800,501,649,800,502,282,103,745,649,528,282,500,503,525,800,16,502,649,501,800,501,1000,649,649,500,800,501,502,500,294,503,501,500,282,501,503,501,503,503,500,66,501,705,800,649,503,800,503,503,500,500,705,501,503,503,649,649,500,779,649,16,503,649,136,800,503,107,502,501,503,504,503,16,501,649,501,503,502,502,503,502,644,649,649,501,800,16,500,282,501,107,501,16,649,500,593,649,500,649,649,500,501,16,503,502,107,500,16,800,177,282,503,649,501,501,707,500,500,649,503,502,649,800,282,16,601,502,502,501,649,282,893,502,103,500,649,800,502,503,282,501,503,800,500,649,649,16,501,512,649,649,800,502,727,500,800,649,800,503,502,87,501,282,649,503,500,524,500,504,421,502,503,800,401,806,144,501,282,502,649,502,282,103,502,500,501,16,502,500,649,501,800,503,282,649,559,500,502,500,504,561,282,649,503,682,800,503,194,800,649,800,649,649,282,503,502,800,502,502,236,500,501,224,282,503,503,501,503,800,800,282,357,502,282,542,500,730,282,649,649,651,107,500,493,800,503,501,503,502,800,800,800,800,503,649,800,800,502,800,649,501,503,649,16,501,408,649,503,344,649,501,800,502,94,503,502,97,501,649,500,649,503,649,502,737,501,501,800,800,649,800,649,503,282,502,500,649,800,800,649,501,503,503,502,503,26,649,501,282,649,503,500,16,649,501,800,502,500,103,282,649,950,649,649,162,502,282,312,500,500,800,501,649,800,500,501,502,501,282,500,501,503,503,501,500,800,107,649,503,502,500,800,649,503,502,800,503,502,502,500,503,501,500,500,503,705,214,800,649,502,501,503,500,980,503,500,800,503,228,529,502,649,649,282,282,282,500,800,814,339,532,649,503,503,649,282,500,577,502,16,800,500,649,282,800,282,222,503,502,501,633,500,501,502,500,501,502,800,500,282,503,502,502,502,501,500,502,502,800,16,501,500,16,500,800,500,502,780,282,800,230,16,800,151,503,503,501,282,503,800,501,501,96,107,502,500,503,649,501,565,502,800,502,649,500,16,649,649,501,16,649,800,501,502,16,800,16,501,503,502,649,16,501,282,392,800,282,649,649,501,649,501,502,800,502,502,649,374,16,500,500,500,800,627,73,503,649,502,501,896,339,649,502,649,800,502,649,973,16,649,501,501,501,800,502,649,800,649,649,649,557,107,501,503,503,185,500,502,504,501,282,800,501,800,649,366,800,800,649,503,649,800,205,762,502,503,282,501,501,502,501,282,800,103,501,502,501,502,439,16,501,649,958,636,502,501,800,16,649,501,500,774,800,649,202,800,800,503,649,649,503,649,500,501,800,668,723,649,649,503,503,253,501,500,800,500,639,800,282,800,503,337,501,649,760,500,501,448,76,649,282,800,501,649,500,16,649,501,501,503,800,502,649,800,337,649,800,502,501,282,503,282,774,649,501,800,501,205,41,503,765,800,753,800,502,800,800,800,649,503,671,501,282,407,800,502,282,503,500,501,16,800,415,503,649,800,501,107,282,502,500,649,800,501,500,500,800,800,282,649,600,503,501,452,503,500,500,649,282,725,503,649,500,800,502,649,649,501,500,502,800,502,500,503,800,800,503,503,107,503,800,502,800,501,282,502,502,282,502,150,500,500,503,501,282,107,800,500,25,500,501,16,282,649,800,502,493,502,504,501,503,502,501,800,467,503,501,502,800,503,501,16,888,79,503,501,502,830,502,502,501,223,503,503,501,503,501,16,649,282,500,348,800,800,800,500,501,24,500,649,448,502,800,282,806,503,800,502,500,501,503,503,800,800,502,103,816,500,649,800,503,248,649,282,649,502,800,501,500,500,501,500,501,503,502,501,500,649,502,649,218,649,649,501,800,501,23,501,282,502,500,649,500,501,20,502,800,649,800,649,501,503,504,501,502,502,503,503,502,800,501,503,502,502,502,649,503,411,304,16,649,29,649,800,500,504,800,500,503,504,282,649,80,502,648,501,503,501,503,282,649,503,500,649,649,501,800,107,501,501,649,502,649,501,649,503,800,649,503,649,16,103,500,503,502,690,503,800,282,503,182,503,500,649,381,503,503,501,503,282,501,649,282,500,649,107,500,107,647,500,409,502,800,649,502,502,501,500,502,282,502,500,107,800,882,972,649,500,501,500,800,350,747,502,501,501,800,649,649,502,501,501,470,504,800,501,500,932,502,501,16,649,16,649,800,800,502,893,800,800,503,500,500,502,501,755,289,904,282,500,800,649,503,649,16,282,649,16,504,503,504,649,500,649,596,800,503,800,502,649,317,503,800,502,502,501,503,503,107,502,503,649,649,504,501,502,500,501,649,800,282,800,500,800,800,500,649,168,709,501,503,500,649,501,385,800,502,501,800,503,500,800,502,282,502,503,501,502,16,500,503,282,502,800,800,502,502,504,500,503,500,501,502,282,500,502,429,501,502,282,500,500,502,282,500,503,255,282,500,800,649,107,502,282,800,649,649,16,800,475,501,501,500,503,500,716,502,800,103,800,502,503,501,502,501,503,500,501,503,121,503,800,500,502,501,107,405,800,503,800,649,649,800,649,16,500,500,800,503,649,649,800,500,501,800,502,501,649,16,501,595,500,501,503,502,501,800,500,501,501,282,16,503,620,503,251,503,503,576,502,282,800,649,649,502,501,865,500,800,800,800,649,649,649,800,500,800,800,500,16,503,800,649,502,800,502,649,629,649,503,502,502,800,502,649,800,282,502,503,503,500,649,502,501,500,530,502,538,501,800,191,502,85,530,649,169,500,800,649,347,503,800,501,502,501,107,282,502,800,649,467,282,500,502,800,728,537,16,501,700,501,502,649,502,501,800,500,649,649,502,557,649,282,649,502,996,800,800,649,503,500,501,649,16,502,282,649,649,800,282,649,502,503,312,503,502,502,502,473,211,800,501,800,500,502,501,16,649,282,503,788,649,501,501,331,501,501,649,936,16,500,649,500,500,649,482,503,503,502,649,503,800,501,649,104,800,502,501,503,709,501,640,800,282,502,501,502,800,501,501,649,500,800,500,769,282,800,500,800,502,501,500,500,649,503,679,500,800,502,800,501,503,16,800,800,503,800,502,649,500,836,29,501,501,501,369,503,500,500,501,504,503,103,118,649,503,500,649,503,504,503,500,800,503,501,425,282,501,16,503,504,502,500,501,649,503,501,649,996,649,649,16,502,103,16,282,502,800,501,500,282,500,378,502,503,501,500,282,282,846,649,502,504,501,487,742,504,800,503,502,525,162,501,649,103,501,800,502,81,329,282,800,502,649,502,500,502,800,800,883,667,502,282,800,649,503,500,502,502,282,503,501,16,502,500,282,503,800,437,500,502,500,504,282,501,490,503,501,754,500,352,649,761,635,501,501,649,649,277,649,800,977,800,649,502,649,502,503,649,807,282,282,649,649,501,800,800,500,501,649,502,502,502,500,501,502,800,800,503,501,800,800,16,649,163,503,676,500,503,800,649,503,503,922,282,282,500,800,834,501,800,500,502,619,500,952,800,16,503,503,800,501,649,649,800,335,503,501,800,649,16,649,649,649,800,500,553,649,501,502,503,501,500,649,503,500,501,502,16,16,501,501,157,502,501,898,503,500,500,16,282,214,649,501,500,800,502,503,500,649,501,649,800,501,500,503,500,502,503,502,502,501,500,649,501,500,800,501,944,503,502,649,285,501,76,500,502,800,502,649,282,74,501,107,649,501,502,800,503,503,503,500,649,504,501,501,502,617,500,503,502,503,502,800,501,276,378,800,282,800,800,502,502,500,649,649,503,500,501,501,437,800,282,501,503,649,16,107,705,282,649,502,501,705,905,800,502,500,503,16,800,649,282,503,800,500,502,517,500,503,501,649,502,928,649,649,503,503,649,503,103,649,16,754,260,282,503,503,504,800,800,103,501,500,649,613,523,16,20,502,800,649,649,503,465,800,503,502,954,503,800,800,501,740,16,502,503,282,500,107,267,644,649,502,500,849,649,800,500,800,800,503,16,282,504,85,502,800,661,649,504,500,502,502,501,502,501,500,501,293,503,800,800,6,500,282,800,502,800,502,800,502,175,636,649,501,502,124,282,503,501,502,501,503,502,503,800,649,649,649,800,500,649,500,649,16,502,500,503,504,502,807,504,800,502,800,502,501,500,800,800,246,800,649,890,800,16,501,649,16,501,649,501,140,503,716,800,282,473,504,938,503,282,500,502,500,800,628,573,800,800,399,500,502,502,800,502,500,501,503,649,282,649,503,503,722,649,649,934,366,649,282,282,502,649,800,800,442,800,503,503,649,503,504,500,500,895,500,156,501,282,503,649,504,800,501,16,501,503,503,282,501,800,503,501,503,282,501,503,501,193,502,501,800,503,649,649,501,986,503,501,800,501,800,503,500,649,16,16,503,502,800,649,759,503,336,500,502,282,502,282,649,503,103,907,500,502,501,501,791,503,500,501,282,152,649,500,502,800,502,502,800,501,834,796,800,502,503,800,500,502,502,501,503,500,282,503,16,503,649,800,503,282,487,649,845,502,282,649,503,503,501,501,649,800,500,649,502,501,500,501,502,800,501,100,501,50,502,503,502,501,649,500,503,500,758,800,502,500,649,503,500,501,500,500,501,103,503,649,649,502,502,503,800,649,649,800,500,500,501,503,800,282,800,282,500,502,236,800,501,649,16,432,796,502,502,16,900,500,502,800,500,503,501,282,503,984,16,800,500,649,502,502,107,649,282,282,800,649,500,500,649,500,282,770,649,504,501,282,16,502,649,500,800,649,800,500,502,502,501,501,998,500,503,503,501,649,503,500,502,649,284,107,800,503,800,501,103,503,282,282,649,503,103,800,649,501,503,367,501,299,502,503,19,501,800,502,501,649,649,282,500,502,649,502,502,501,502,767,501,649,800,800,502,501,500,677,504,500,800,282,503,649,800,16,282,500,800,728,503,549,502,103,649,500,503,408,899,649,16,501,501,649,282,502,502,829,491,500,678,503,502,16,282,500,282,800,502,649,800,500,501,649,503,649,800,501,501,500,800,114,649,501,502,282,501,502,778,501,649,501,501,800,503,282,533,500,282,502,503,501,16,282,503,501,800,501,503,502,621,500,502,503,800,649,504,501,504,502,500,500,503,501,662,500,501,282,100,502,800,16,800,800,454,103,16,800,649,501,503,502,501,649,500,503,649,501,649,501,502,502,855,552,370,800,504,800,500,265,500,501,503,500,502,500,800,500,501,800,800,282,800,800,503,800,785,800,649,878,502,501,500,126,649,502,649,503,503,282,282,800,504,503,16,786,42,500,500,800,502,178,800,893,500,502,502,16,938,501,502,27,501,501,501,500,504,800,500,800,16,501,502,16,800,502,501,16,500,649,649,500,947,501,649,501,697,502,503,503,800,800,675,649,649,282,649,360,649,503,501,503,800,47,154,501,501,16,501,500,501,649,502,503,500,800,649,620,500,500,282,501,502,503,800,649,500,649,500,282,800,502,800,16,500,501,649,503,492,800,500,282,503,679,800,649,649,500,514,501,249,500,501,501,502,282,502,16,649,502,502,282,500,649,503,305,502,500,649,503,502,503,501,503,503,500,502,649,502,649,800,16,649,501,503,16,601,503,501,16,503,500,649,800,16,503,503,503,800,649,501,16,649,103,503,502,649,168,113,503,500,282,500,800,501,800,502,282,800,649,800,503,649,503,503,502,501,16,502,107,282,800,500,501,500,800,800,503,800,501,503,503,800,685,649,66,16,502,502,504,500,503,501,649,502,649,501,986,16,649,800,649,501,854,501,800,502,800,500,503,282,306,501,800,667,649,500,741,500,502,401,234,282,501,16,502,500,503,282,502,502,502,282,501,691,800,800,800,982,503,800,649,502,500,501,800,503,649,649,502,502,503,649,501,502,107,649,115,649,501,502,503,649,502,710,800,282,800,282,501,500,649,502,502,500,109,649,503,20,767,503,800,282,649,282,500,501,810,16,501,800,501,649,504,800,397,800,503,282,503,502,282,649,649,503,502,501,501,16,648,800,500,100,503,502,649,649,649,16,649,649,502,837,800,500,501,503,501,800,502,649,788,292,649,282,500,502,16,502,503,800,800,282,121,649,800,800,503,282,500,16,501,502,502,503,800,504,501,503,503,800,502,649,649,649,502,500,282,501,501,501,282,502,502,500,500,504,800,294,501,800,502,36,500,649,835,649,500,16,282,500,649,263,503,502,800,649,282,502,502,800,649,800,306,503,800,502,341,282,503,502,649,500,800,501,500,282,654,501,800,502,500,500,649,649,649,58,502,500,433,16,502,282,800,502,649,502,247,800,501,800,266,502,649,258,503,214,800,502,282,502,649,282,501,800,500,501,649,501,500,800,503,521,270,709,504,501,649,649,793,800,500,91,503,716,503,503,282,297,282,500,107,800,717,649,649,500,502,649,500,502,639,16,103,649,502,349,501,501,649,502,502,800,800,502,282,800,800,502,800,503,503,500,503,282,751,502,649,500,16,503,500,649,800,503,502,100,16,502,503,500,500,621,800,502,800,502,432,500,625,649,501,503,201,486,649,649,503,500,501,500,500,519,500,503,800,800,649,649,500,282,502,649,282,503,649,503,800,503,502,502,502,243,538,502,649,501,649,503,503,501,649,502,503,501,500,800,282,503,649,503,642,502,282,772,800,500,211,501,697,800,500,107,503,800,800,500,500,452,500,649,501,503,500,649,501,500,500,503,502,500,649,649,501,98,500,501,649,501,649,504,504,363,800,501,665,16,500,649,282,501,539,500,800,649,500,502,501,500,503,649,503,376,503,503,649,501,503,501,282,503,501,503,649,500,503,649,500,863,800,282,649,800,800,649,811,356,500,501,502,800,800,800,502,800,502,16,501,626,500,436,504,276,500,649,502,500,500,29,500,501,107,428,500,501,503,649,502,800,800,825,649,503,800,649,800,800,500,20,16,501,504,501,503,502,800,649,501,282,16,501,649,649,502,649,260,282,800,800,502,503,503,501,649,500,501,501,502,800,282,799,800,502,282,501,282,850,100,282,500,502,500,800,800,387,502,800,502,504,503,649,503,500,501,502,500,503,502,501,754,500,503,501,503,501,800,502,683,649,282,800,503,649,503,503,33,282,649,698,800,649,282,501,501,500,16,503,338,501,938,503,282,502,649,282,500,649,282,649,649,282,503,503,503,502,649,500,500,503,649,649,649,503,107,502,501,501,831,800,501,282,502,282,800,502,800,649,282,501,501,503,501,501,503,503,501,182,500,649,500,39,649,503,282,504,282,16,649,503,107,314,216,502,501,502,643,502,500,503,649,800,649,649,282,16,918,503,282,503,502,282,502,264,16,501,951,800,449,199,502,789,474,107,800,502,856,504,502,282,800,649,800,275,500,925,800,649,800,395,503,282,500,800,503,501,501,500,500,16,757,705,501,500,282,649,800,500,63,649,503,503,649,500,501,501,800,503,800,16,503,816,649,649,649,800,502,624,502,800,282,500,502,500,185,264,800,16,800,503,649,503,500,501,500,649,502,16,503,502,649,649,502,501,500,500,502,282,16,208,649,800,649,502,649,503,500,501,800,800,500,604,503,649,968,800,352,282,501,503,800,649,503,16,16,501,502,500,503,649,501,500,503,807,16,800,500,649,503,649,502,16,649,649,504,958,500,503,501,500,800,800,16,500,649,502,649,502,501,800,649,282,500,705,800,800,800,502,240,500,501,500,501,501,649,500,282,501,16,503,282,800,500,500,501,500,649,800,501,649,800,502,800,500,913,800,502,800,503,500,807,501,502,107,503,504,649,500,502,503,503,649,866,649,502,649,500,503,640,73,979,822,16,649,500,503,500,67,103,349,503,800,133,501,503,649,500,500,80,500,501,502,800,503,800,502,800,501,649,282,502,500,800,963,503,500,800,501,282,500,500,501,985,502,500,501,501,503,865,282,800,500,558,501,502,503,107,36,502,500,282,800,282,502,503,14,649,649,350,500,800,503,503,502,705,503,501,503,500,800,282,501,649,500,501,503,503,649,16,500,287,501,503,649,800,502,800,800,649,501,503,502,501,520,501,503,502,611,810,800,500,549,800,501,501,807,503,502,800,649,501,800,669,503,282,282,503,502,800,706,501,649,500,501,501,649,503,649,66,583,501,800,501,503,208,925,800,649,635,503,649,501,282,503,501,503,800,282,503,502,500,501,800,649,800,144,500,800,502,282,502,800,649,503,282,282,800,503,500,800,649,649,282,96,649,503,282,107,500,649,501,502,500,649,503,502,649,282,649,282,800,503,502,502,500,500,109,503,800,504,504,503,16,800,800,649,500,649,25,282,500,501,501,502,242,503,800,501,800,649,503,502,501,500,649,502,500,503,103,503,428,501,501,503,649,800,535,16,800,800,500,800,500,501,501,870,500,500,502,649,500,339,500,649,503,6,500,649,649,503,311,282,649,194,259,800,800,501,282,502,503,800,649,501,800,501,502,585,282,501,800,881,500,649,649,503,504,282,501,502,503,501,16,504,501,649,502,282,501,500,500,501,16,500,502,800,501,103,503,504,603,282,501,501,649,800,501,698,501,282,501,501,503,649,107,500,503,800,500,503,649,641,501,649,205,500,503,501,500,503,501,501,501,502,500,503,501,501,503,476,800,649,800,500,503,500,649,649,248,501,500,398,500,200,16,503,649,649,282,503,225,500,800,500,500,839,624,649,800,465,501,501,800,439,503,649,800,649,282,500,500,796,500,282,502,503,189,253,800,501,16,502,700,500,16,502,800,501,504,649,42,800,500,503,798,503,500,800,649,800,503,503,503,501,503,833,501,502,500,500,502,500,649,800,502,501,540,502,199,503,503,755,649,502,649,800,282,502,503,500,502,503,198,16,649,502,503,16,668,800,503,500,504,503,465,649,649,500,500,649,649,800,500,500,800,502,800,282,501,500,504,500,500,282,501,649,503,800,500,17,500,800,800,500,500,705,501,501,16,649,500,282,800,649,282,502,500,502,103,500,504,501,649,649,107,501,282,502,895,649,165,219,502,800,500,503,800,503,502,503,685,282,501,501,282,501,502,649,502,649,889,649,800,501,501,503,500,16,503,501,521,504,500,500,501,503,502,501,709,578,800,282,500,502,501,503,503,501,139,504,501,503,500,282,501,800,689,649,503,500,743,649,705,30,501,77,502,502,649,884,800,502,800,502,649,502,503,503,649,500,649,649,800,800,500,800,46,503,500,16,800,502,103,502,800,800,800,800,211,673,502,500,502,16,501,502,800,800,649,282,503,503,503,503,649,501,503,60,967,500,503,649,503,16,649,16,854,800,501,800,497,16,800,503,649,502,500,800,503,502,502,501,500,282,502,107,501,504,502,800,458,503,16,800,500,500,280,501,501,502,500,649,282,649,501,929,503,800,800,500,649,649,501,282,662,649,649,501,502,649,800,800,500,501,503,649,16,649,649,649,281,649,503,502,503,800,501,800,503,502,16,500,649,503,233,501,503,282,800,649,282,502,503,282,504,953,502,502,649,500,649,504,501,500,501,500,282,800,500,649,501,282,500,502,502,282,649,503,502,649,800,502,7,800,500,649,503,800,780,649,556,501,649,501,501,504,649,500,503,645,500,649,765,502,282,800,253,502,500,265,677,649,649,357,500,804,800,330,800,502,502,282,500,503,649,503,501,649,649,665,649,843,282,501,500,503,501,500,649,501,500,649,649,800,107,338,649,513,649,503,594,501,649,649,911,501,800,500,649,934,500,504,503,501,800,503,504,500,504,501,501,500,501,501,800,800,534,501,500,501,282,649,501,500,502,800,649,649,681,800,503,898,503,282,502,649,800,501,800,502,501,800,793,547,800,501,501,500,501,502,875,105,649,501,282,501,649,649,800,282,137,123,800,502,282,282,502,503,649,500,502,401,502,503,502,502,800,649,503,202,503,500,268,313,800,502,500,502,649,503,502,503,503,943,790,502,502,16,649,800,501,501,503,282,503,501,210,649,503,502,501,503,800,649,773,800,503,649,503,500,649,649,501,501,16,502,503,502,501,774,501,500,501,500,649,500,332,503,649,800,503,649,800,503,500,503,503,80,500,502,282,500,503,282,800,282,918,649,503,503,501,769,500,9,502,500,500,649,649,501,500,649,503,649,41,503,649,501,502,649,282,649,158,501,501,649,501,502,282,918,282,649,502,500,503,503,502,649,800,860,800,282,500,500,800,649,649,649,800,649,501,502,996,800,504,107,503,502,501,800,503,501,500,502,503,226,502,103,502,16,502,501,504,500,501,649,468,537,502,501,800,501,649,155,503,976,502,500,502,502,501,800,501,500,502,500,502,649,690,16,649,502,503,282,503,800,231,800,501,800,836,699,503,501,503,282,67,649,800,282,649,503,501,500,649,649,500,502,874,800,500,649,800,282,504,282,282,12,501,649,649,503,503,632,282,504,554,503,890,176,501,16,500,501,800,502,504,501,501,501,282,501,649,649,503,863,800,295,649,500,503,649,282,374,502,503,500,435,502,800,16,500,503,220,800,500,502,16,502,503,649,356,16,649,755,504,800,704,500,501,649,503,790,503,517,520,800,343,501,501,800,649,501,503,649,649,500,501,782,800,649,83,500,500,528,649,800,282,502,745,861,824,144,503,504,800,500,503,502,502,500,502,649,501,282,503,500,501,800,502,503,501,282,800,501,800,295,502,500,800,501,501,503,282,800,649,282,880,503,501,503,500,504,502,501,16,683,368,282,800,649,649,500,502,503,282,800,649,649,500,800,501,503,500,503,800,503,729,649,500,81,705,645,502,500,500,649,503,649,500,597,282,649,282,649,503,502,107,16,503,503,501,500,800,502,501,800,835,16,704,800,261,800,800,502,649,282,800,649,503,282,500,818,16,503,500,649,649,503,116,501,501,649,908,420,327,500,502,502,974,503,806,883,730,800,502,503,502,502,913,282,503,800,500,503,501,282,969,438,282,282,282,800,502,301,502,500,558,502,501,282,800,124,424,649,649,503,501,503,504,282,383,800,649,136,503,503,282,501,501,103,16,800,501,800,649,282,371,502,500,800,500,504,503,500,800,502,502,503,500,504,500,501,501,649,733,500,504,500,503,500,869,502,502,500,500,503,649,503,649,502,107,649,501,347,502,501,387,502,800,649,649,502,649,500,649,500,16,103,502,503,502,501,800,503,502,500,800,500,502,503,282,649,488,500,277,85,501,501,649,500,500,503,649,503,502,649,649,103,500,501,502,501,500,282,639,500,503,503,502,502,501,500,501,500,501,503,649,502,800,649,500,502,503,500,501,501,502,649,502,500,16,282,503,501,649,501,649,590,500,502,438,501,282,775,282,800,500,649,503,2,800,16,649,107,649,500,649,16,16,501,800,317,649,500,503,800,282,500,500,502,502,500,502,141,762,900,502,502,800,501,500,500,500,502,502,503,501,503,502,501,38,452,649,282,504,502,501,783,649,282,502,800,16,807,503,800,16,503,504,500,502,503,500,503,503,435,502,800,649,800,642,503,649,800,649,649,502,503,502,504,500,500,649,503,800,649,649,800,800,503,302,502,526,5,649,282,64,503,503,500,463,169,16,103,800,459,500,107,500,705,500,282,800,502,649,368,503,501,16,800,500,502,501,501,503,500,813,501,282,268,126,501,282,714,502,500,800,502,649,800,55,235,800,503,502,503,800,107,800,786,503,503,500,282,282,502,501,500,503,500,800,502,502,503,502,501,600,800,800,503,649,16,722,502,502,501,501,649,502,16,502,501,800,503,282,16,503,239,800,502,390,800,500,65,502,501,649,501,649,649,500,500,504,16,216,775,501,553,107,500,282,596,829,282,16,926,500,100,649,500,800,503,276,503,800,503,502,500,502,282,503,500,503,503,113,701,503,282,500,503,282,800,649,501,500,649,800,282,649,800,501,502,948,282,503,500,501,502,500,503,503,649,649,500,800,503,502,800,649,503,501,585,649,282,154,649,731,282,501,502,282,502,502,800,107,501,649,503,502,800,800,502,649,16,649,501,800,504,503,800,355,800,800,649,800,544,649,649,649,503,500,504,282,649,282,16,282,800,501,504,16,800,800,500,502,649,501,504,107,649,502,16,500,503,16,649,649,649,500,800,503,500,504,649,16,282,800,500,502,502,649,153,350,501,502,282,282,502,16,501,503,503,501,503,501,220,500,503,649,501,500,502,649,282,502,649,501,649,503,16,501,503,154,16,502,649,501,800,16,16,649,500,345,800,500,649,500,282,500,800,16,500,649,168,107,501,503,649,501,637,503,500,304,800,500,501,502,501,500,604,502,502,502,501,800,500,698,502,501,501,501,502,503,503,16,503,282,800,282,502,107,649,800,282,502,800,282,645,649,501,649,501,503,649,649,444,502,16,16,501,649,502,649,282,16,500,282,501,503,500,504,317,504,501,153,502,649,448,800,500,501,596,649,800,282,282,800,649,644,710,503,649,800,500,16,500,502,649,502,503,649,501,839,800,649,649,800,649,502,800,504,501,502,800,16,649,501,503,649,237,138,500,503,503,501,282,282,502,50,800,446,282,800,500,501,500,800,649,501,649,649,503,501,503,937,13,501,502,501,502,649,800,649,502,503,800,501,503,649,502,282,800,503,215,649,649,16,503,282,389,649,500,502,800,503,58,800,503,800,65,649,649,501,282,501,800,282,500,503,579,800,503,501,649,649,401,299,503,649,168,649,503,800,282,16,16,501,282,501,500,502,800,500,800,501,282,503,502,502,688,598,502,282,501,282,649,500,502,503,649,503,649,504,500,503,649,500,500,800,570,282,494,503,500,649,500,282,107,282,503,501,502,501,800,649,500,501,905,800,502,282,501,800,934,502,503,502,500,502,501,296,501,350,401,649,500,500,649,502,502,649,16,649,502,428,16,502,800,501,502,500,721,282,502,502,503,502,649,649,800,500,500,502,501,649,16,649,282,502,500,177,649,705,649,850,502,503,502,282,502,502,732,800,282,500,504,502,649,500,450,500,503,140,501,649,501,500,500,502,800,502,502,800,282,503,503,502,649,503,502,301,800,503,107,611,155,282,726,282,503,503,282,399,500,500,800,800,904,501,33,500,501,282,502,501,800,502,800,769,800,765,16,503,503,504,500,500,282,649,649,649,415,649,828,501,800,800,501,501,500,501,501,649,649,502,500,502,800,501,501,649,429,500,13,504,502,502,501,502,502,503,502,502,500,503,502,16,282,500,503,649,800,259,504,649,405,502,503,501,649,503,649,107,500,649,500,800,16,502,649,501,503,572,649,502,800,282,16,282,500,800,503,287,649,927,822,282,503,500,800,299,501,504,503,800,649,800,503,649,500,502,800,501,908,16,500,503,500,502,502,503,501,503,500,649,502,649,800,800,501,282,500,500,282,800,800,713,503,800,503,500,732,730,501,502,456,503,502,282,649,502,649,503,503,16,800,846,503,501,500,649,502,282,500,503,502,649,588,502,282,282,706,904,338,500,411,503,649,502,501,501,698,501,649,501,503,800,600,502,500,16,800,966,39,900,501,649,502,503,754,500,800,500,649,282,973,282,265,282,502,800,500,977,800,500,800,678,800,502,500,800,371,500,503,800,280,16,500,503,502,504,502,282,800,649,282,649,800,502,503,345,16,502,500,503,500,501,282,503,501,502,502,282,800,242,688,649,504,800,649,800,626,503,44,282,282,501,857,800,502,502,501,501,504,478,980,713,800,503,502,503,500,649,649,800,649,501,501,649,800,503,501,649,503,491,282,504,800,800,503,649,503,524,503,705,800,502,502,500,282,502,649,500,501,501,500,501,649,649,504,800,503,501,649,800,1,649,500,649,503,503,500,107,500,501,502,501,800,960,341,503,652,649,503,649,282,282,502,502,501,649,649,107,649,441,800,501,501,503,855,500,500,268,502,800,503,503,730,818,503,847,349,800,599,503,503,800,800,800,800,503,503,502,500,800,757,502,649,108,501,501,502,504,500,503,282,500,52,649,501,500,649,500,500,500,282,501,282,705,501,502,503,501,800,502,503,502,789,503,649,807,497,500,501,502,500,282,502,504,16,800,800,961,501,503,800,800,501,502,502,649,500,502,500,500,139,500,649,501,807,649,500,500,503,500,800,649,502,501,649,503,504,502,504,500,502,800,150,501,649,800,800,502,502,800,800,500,501,282,503,800,501,501,501,649,884,800,800,282,502,800,688,16,282,282,500,501,503,609,800,500,800,503,16,500,282,800,502,503,16,800,500,649,282,503,800,500,282,503,502,615,972,503,704,501,502,636,500,501,401,501,504,282,103,500,649,103,501,501,500,502,503,552,117,503,800,282,800,649,503,838,489,501,504,502,282,800,500,16,502,800,503,974,277,501,800,502,500,306,649,293,502,503,16,500,800,501,346,470,501,500,502,502,800,567,800,500,503,649,500,649,501,501,503,500,962,501,500,503,48,500,503,500,800,282,501,501,918,502,649,800,649,966,502,278,800,501,586,500,282,503,649,502,502,649,503,502,649,649,500,503,502,503,649,282,503,501,500,649,501,501,547,501,285,503,500,500,282,649,819,169,503,502,501,800,501,107,502,501,501,502,282,502,500,500,500,500,502,864,502,502,282,338,587,503,649,501,502,649,502,579,282,800,500,504,649,16,503,502,800,16,500,501,500,504,501,282,913,380,503,503,107,500,500,503,800,503,684,800,503,800,282,649,16,501,256,800,481,501,649,800,502,800,503,649,501,649,502,500,501,800,649,800,744,849,503,503,502,501,503,800,107,282,502,501,671,501,649,501,794,500,800,500,503,501,649,649,649,800,307,501,107,92,282,800,649,282,500,504,502,504,164,212,649,500,500,707,504,500,502,502,800,501,503,800,282,503,501,649,902,501,649,503,503,503,502,221,999,444,16,18,500,155,107,502,503,502,534,504,504,282,501,800,16,800,282,500,800,649,503,503,504,183,800,800,500,40,649,501,923,423,649,649,500,493,501,649,502,482,251,705,800,501,501,649,800,900,500,649,649,649,503,503,503,501,648,649,503,502,800,503,500,125,504,500,705,500,734,948,501,501,495,800,502,649,800,800,503,16,800,501,500,649,800,504,502,501,649,649,225,503,501,800,800,765,235,649,800,282,16,501,649,500,92,649,445,649,282,800,282,214,800,500,502,800,800,500,500,879,649,225,502,500,502,16,107,235,800,500,502,649,500,649,500,500,500,501,500,502,369,282,800,103,800,263,502,16,649,800,503,800,99,336,504,503,800,718,500,975,542,282,501,649,501,500,501,930,282,455,582,501,501,502,617,501,501,963,503,649,649,500,503,16,501,503,503,800,649,107,282,501,800,800,649,815,800,501,500,649,16,503,16,16,503,712,503,282,503,501,686,282,500,649,649,619,800,501,501,282,800,502,16,501,830,504,649,705,502,502,282,649,500,271,501,800,282,502,503,282,503,282,503,649,503,800,800,649,800,501,800,503,984,282,502,800,236,282,502,800,502,649,500,100,503,503,649,179,503,501,800,649,800,282,16,500,649,148,501,649,544,522,500,500,501,504,103,800,503,501,800,503,501,501,649,502,501,502,501,503,649,500,502,502,16,503,503,282,500,501,399,502,500,800,503,16,817,800,282,504,800,649,735,503,516,59,649,397,16,107,282,503,503,500,282,501,502,800,502,502,282,503,717,210,649,800,501,649,503,503,501,501,649,501,800,800,649,502,501,503,649,649,502,413,282,961,501,503,282,800,385,800,501,501,500,649,500,503,872,370,282,504,800,502,502,500,502,649,502,800,502,501,502,503,649,501,282,800,503,500,502,503,282,491,502,501,500,503,502,501,649,501,500,500,649,502,649,501,503,649,16,503,500,502,503,394,800,649,501,800,500,503,500,502,501,282,503,500,16,501,503,282,282,500,502,649,649,501,92,649,502,501,503,501,503,503,800,800,570,282,501,501,500,500,649,987,800,649,501,502,800,502,800,503,504,800,501,649,31,800,503,612,500,649,503,502,412,800,649,16,604,649,16,649,282,502,502,503,800,800,625,282,649,649,501,800,649,663,649,502,479,282,500,361,800,503,500,500,503,502,503,800,501,800,500,649,649,500,589,502,503,502,800,649,800,800,282,503,502,500,649,503,503,503,800,502,501,649,591,800,500,282,16,500,236,502,800,500,649,501,501,649,502,503,942,503,500,503,649,551,503,800,58,503,501,560,507,501,333,800,500,500,800,273,16,500,489,501,282,928,500,500,502,502,649,282,649,501,902,366,649,502,502,500,94,16,503,649,501,215,501,107,16,501,800,501,502,502,500,16,501,500,504,800,987,784,165,503,152,501,504,503,705,16,501,649,502,649,503,501,282,503,501,800,501,501,649,500,323,282,500,357,541,800,649,501,504,16,501,502,800,501,649,501,500,800,649,800,500,649,500,800,282,502,502,534,649,800,503,503,800,258,237,500,500,503,502,800,103,502,502,500,501,500,649,800,502,649,501,800,500,502,501,800,921,807,500,649,567,500,501,680,282,557,16,310,503,968,220,502,501,800,501,501,501,649,800,503,502,502,800,501,282,800,503,645,501,502,800,282,502,502,502,16,500,800,503,501,800,800,576,800,907,282,649,800,502,501,503,800,501,800,503,649,282,503,157,800,282,500,501,501,502,800,501,503,800,490,503,800,501,501,800,502,800,502,500,501,501,500,502,800,649,649,16,107,649,999,649,649,500,649,502,501,282,502,389,649,649,503,501,800,166,998,502,503,828,502,503,649,500,800,501,282,502,500,860,501,103,649,649,649,502,502,649,790,800,800,800,501,503,503,502,484,800,503,336,502,649,502,502,649,852,500,500,484,500,800,503,500,800,800,2,501,282,500,800,649,649,500,649,649,959,502,503,649,678,282,282,503,800,501,502,16,502,649,918,628,502,673,649,800,800,800,282,500,498,588,502,649,502,502,649,501,500,227,503,500,503,503,282,114,502,282,502,501,501,649,253,503,800,500,16,502,500,503,282,649,502,649,286,800,958,428,800,500,501,649,503,800,504,503,61,500,448,501,500,800,502,248,501,500,503,503,649,800,500,649,800,500,800,500,501,649,800,658,282,503,800,503,503,500,501,800,501,107,500,103,800,504,504,649,503,282,500,153,502,282,504,800,502,282,501,502,282,649,649,503,503,503,800,500,500,504,800,500,18,273,800,101,502,649,800,800,503,503,800,502,500,282,501,500,500,500,500,500,502,503,502,503,500,655,500,649,501,107,800,501,503,500,502,504,502,500,501,628,800,649,282,502,705,503,800,649,649,503,502,504,500,500,282,807,649,800,503,800,502,503,649,282,500,500,502,502,501,503,649,501,500,16,503,649,501,500,502,800,500,393,16,502,500,16,807,500,501,307,649,503,476,501,502,501,502,502,244,649,502,800,502,501,649,503,503,107,501,649,649,503,503,500,282,227,282,800,501,649,245,282,501,503,501,500,649,502,502,282,500,501,800,681,500,502,501,16,501,502,501,503,649,649,736,16,282,282,282,500,501,503,282,501,324,649,282,500,16,649,501,500,502,800,800,501,501,503,103,500,800,800,282,649,501,501,859,282,501,501,282,502,502,501,501,282,503,16,501,503,800,502,649,503,800,396,649,649,800,800,503,445,371,107,649,800,937,500,673,503,649,649,649,502,500,500,800,278,800,282,500,501,649,502,282,503,16,500,792,649,282,501,501,194,501,502,503,501,16,502,500,501,502,502,354,649,503,16,800,502,649,282,500,503,507,649,503,503,502,502,503,500,501,503,501,500,503,502,501,502,282,503,16,649,16,484,501,393,502,158,853,500,800,502,503,851,649,649,282,422,500,800,649,503,502,649,503,107,16,503,649,503,649,503,501,503,503,758,500,282,800,217,501,501,503,800,503,502,498,501,502,502,504,500,503,162,126,282,649,503,502,500,501,800,103,502,501,504,800,406,649,639,503,501,649,649,107,619,334,503,500,800,488,282,135,107,500,649,501,501,705,677,503,500,501,500,500,800,502,649,500,500,503,503,282,800,502,501,501,502,649,649,504,649,501,501,800,649,649,500,282,800,237,682,501,500,503,649,282,503,800,649,158,503,504,501,503,649,800,649,670,500,501,800,502,16,282,370,502,649,502,901,500,503,503,282,501,636,501,502,501,728,502,649,800,635,649,649,105,503,503,503,503,500,500,11,502,282,649,500,502,501,107,649,503,214,791,708,503,649,503,500,800,503,16,502,500,503,16,501,503,800,53,633,501,791,282,500,500,501,502,800,501,503,649,502,649,503,800,282,282,501,503,501,649,502,503,802,503,502,501,800,649,107,282,649,800,16,479,500,649,16,359,231,80,500,864,649,16,501,649,16,501,503,16,503,183,500,502,451,501,134,937,868,501,649,502,502,800,705,233,501,563,500,649,501,501,503,800,502,16,800,649,972,800,502,482,501,649,502,649,800,800,371,501,800,800,867,649,500,800,649,282,501,503,800,649,501,503,503,500,649,501,423,501,958,642,500,501,646,609,500,501,649,649,500,500,501,500,800,503,282,503,800,502,502,500,503,101,800,282,282,649,503,500,502,503,503,503,800,501,800,784,800,800,649,501,501,800,322,501,502,501,338,649,503,502,16,800,503,107,502,800,649,649,649,16,502,500,502,800,502,800,800,502,503,501,756,500,282,282,503,273,800,501,501,800,501,201,500,502,16,837,702,501,649,800,504,16,503,502,800,800,503,220,317,662,503,503,982,501,800,500,649,282,502,378,800,711,800,501,501,501,800,649,501,503,502,502,504,500,638,501,500,127,503,502,107,800,668,649,502,16,502,502,282,282,542,431,182,501,282,500,503,500,500,502,502,649,502,649,800,500,502,16,800,500,500,500,503,501,500,503,502,501,503,532,503,500,649,649,16,503,500,501,500,64,500,171,500,500,282,800,500,503,649,282,503,503,502,501,649,502,649,16,812,502,649,649,419,502,501,800,500,16,502,16,500,502,500,649,16,282,504,16,649,649,800,800,501,502,502,503,500,500,282,800,501,649,501,500,504,649,588,107,501,501,503,504,500,502,649,503,800,502,501,500,649,649,502,800,826,501,649,649,503,500,282,282,800,500,586,504,16,503,16,501,864,502,649,800,503,649,502,649,502,503,503,649,649,501,503,500,500,502,500,649,800,500,282,16,503,800,501,503,282,800,649,282,501,502,500,753,800,500,282,832,649,649,282,282,500,500,16,649,502,290,649,711,955,16,501,502,502,503,500,800,502,500,649,282,502,500,800,500,503,282,107,649,800,500,282,261,502,501,649,503,503,503,649,877,31,800,800,503,16,503,800,282,500,800,503,503,16,16,500,501,918,501,649,103,501,282,500,503,800,16,500,503,501,502,16,814,800,649,649,503,503,800,649,896,501,503,649,800,66,800,501,501,500,500,16,502,800,500,502,502,800,504,16,978,500,504,16,649,501,503,214,504,502,282,503,501,649,536,501,503,501,800,500,304,502,14,502,503,503,501,500,503,197,800,76,800,500,502,282,800,282,649,72,800,501,500,502,501,800,649,807,800,16,331,501,282,649,502,649,92,501,649,502,502,282,500,282,800,503,800,800,502,502,282,103,649,500,16,503,131,649,649,502,503,500,649,501,503,800,502,500,500,503,649,501,502,503,693,800,649,504,888,864,800,502,649,501,649,500,500,501,503,800,501,500,501,503,649,500,502,502,502,649,282,800,800,649,502,107,649,502,842,503,503,649,282,502,649,251,232,649,782,117,501,501,501,501,502,503,504,174,504,502,800,107,189,501,502,649,502,800,800,500,649,501,500,800,800,501,282,501,16,634,282,501,649,282,649,500,800,282,503,282,500,502,500,500,500,800,705,806,649,501,16,501,503,310,501,800,282,501,649,501,500,501,500,502,800,139,502,503,504,649,16,800,800,800,503,871,501,504,800,516,500,649,502,958,503,502,502,649,778,500,800,502,501,1,501,501,503,504,649,100,803,500,649,500,502,649,649,282,649,800,16,649,358,263,500,103,503,502,504,500,501,503,828,282,502,502,800,282,864,503,800,649,502,502,501,457,103,503,501,800,800,649,502,500,503,489,1,649,279,500,649,800,501,157,800,504,800,500,580,501,16,503,800,500,16,282,16,503,503,503,800,500,885,503,501,500,501,705,503,282,649,501,501,500,502,501,500,501,800,501,800,540,953,649,502,649,502,502,282,503,58,502,502,500,503,282,500,803,503,16,501,502,502,649,282,649,800,16,502,502,829,758,800,282,500,501,800,649,502,107,800,501,500,502,107,800,427,690,649,649,800,800,649,466,800,800,672,9,800,282,502,503,502,705,705,800,922,501,800,502,500,501,502,501,800,501,501,503,699,627,800,503,800,649,504,16,503,800,501,282,649,501,93,501,780,107,503,502,501,502,153,501,800,103,800,500,649,500,502,649,502,282,503,649,800,800,504,888,282,649,649,500,503,502,501,503,500,502,501,504,800,502,360,503,800,649,500,502,800,561,330,649,501,503,501,503,501,800,503,500,649,800,608,705,503,282,649,502,503,500,491,649,978,282,649,501,16,282,800,649,800,649,208,503,503,503,504,282,501,800,500,500,800,503,16,800,16,800,502,502,500,800,613,503,501,649,16,800,800,502,502,282,649,282,800,16,502,800,501,649,647,503,484,502,500,501,504,889,16,502,503,127,649,649,649,501,501,800,800,500,504,649,502,500,501,16,800,504,649,800,501,800,78,711,501,469,800,16,501,697,503,502,503,503,501,500,501,503,357,649,501,800,282,500,282,800,800,282,599,800,502,501,501,800,502,502,500,649,800,502,500,500,500,282,649,501,502,501,16,272,90,461,501,800,503,649,502,503,649,503,502,503,501,649,334,568,502,501,282,500,502,800,800,103,503,326,800,500,800,503,649,649,282,800,46,649,800,502,16,768,502,407,800,282,800,649,500,501,501,649,649,800,503,117,282,503,174,649,649,500,800,800,503,649,556,282,503,501,837,649,800,502,503,500,503,282,503,215,800,800,649,282,503,502,503,500,198,500,800,501,504,500,502,800,504,649,870,500,800,502,501,649,644,500,502,503,502,800,503,800,649,649,500,501,501,502,800,800,649,282,649,502,503,282,16,649,504,501,501,800,800,800,282,800,649,503,292,800,500,649,800,503,455,501,156,107,500,500,501,282,503,649,500,503,500,503,501,800,502,800,503,16,503,668,346,502,800,503,282,500,424,503,649,800,282,282,721,591,501,282,502,281,649,503,800,282,500,649,501,800,800,649,501,501,800,503,800,486,502,649,501,502,503,500,501,501,800,500,501,803,502,504,649,500,503,503,649,500,501,486,649,649,800,800,649,613,503,502,503,282,502,501,800,500,500,16,16,282,502,501,800,501,502,800,500,503,111,282,501,800,6,800,501,800,649,800,259,502,282,800,502,800,16,502,504,502,503,717,502,502,800,649,502,314,919,504,943,503,282,502,500,504,502,649,649,649,503,501,649,504,16,282,115,16,282,500,161,500,503,282,503,500,694,500,800,407,649,503,649,800,503,800,649,732,502,500,800,423,202,501,503,452,800,800,354,503,920,282,806,649,282,502,500,800,800,800,800,500,800,649,685,282,502,500,16,310,800,800,800,103,649,502,501,500,501,502,800,500,16,800,503,501,107,649,282,503,501,501,502,503,500,500,501,545,649,503,502,503,282,500,501,649,503,282,503,502,439,503,649,800,204,848,649,282,800,800,832,705,500,107,502,501,504,504,501,500,502,282,502,800,502,800,501,502,800,501,502,502,282,500,502,16,500,16,502,532,671,649,502,501,502,501,282,502,366,282,800,578,649,501,500,503,16,649,501,800,501,502,500,800,502,501,501,503,500,502,501,503,502,501,282,502,500,206,500,504,649,504,232,502,501,503,366,103,282,500,500,649,501,501,501,800,500,455,103,649,649,487,503,16,16,503,501,282,501,502,500,655,500,649,720,282,282,649,800,500,282,502,624,282,800,99,503,649,500,800,501,715,16,649,500,502,500,800,501,282,501,453,800,501,800,103,500,649,351,16,503,800,649,800,723,502,501,501,649,500,16,503,16,503,143,500,502,501,16,501,800,800,282,500,502,503,282,500,800,503,800,282,594,213,649,282,800,503,234,649,307,16,649,364,503,135,800,649,500,500,500,503,800,282,800,282,951,800,402,649,649,503,502,649,503,16,649,501,500,536,165,501,413,503,502,649,501,500,282,500,502,223,503,649,504,500,503,500,337,503,282,502,649,501,501,500,800,502,800,978,501,282,16,502,800,501,800,503,502,596,16,503,501,501,500,800,503,800,502,16,738,800,282,282,942,500,938,985,503,649,16,928,320,282,500,501,259,500,148,500,835,502,617,502,649,503,282,500,649,501,800,800,649,631,649,649,800,668,501,500,649,649,800,501,649,282,649,502,500,16,619,786,501,649,503,800,282,500,500,553,800,282,16,649,501,503,504,162,218,501,800,16,782,501,800,800,649,83,501,800,649,800,502,500,649,649,501,688,329,890,282,296,503,502,649,504,503,502,501,502,500,502,129,501,649,500,501,501,502,800,502,501,500,649,500,502,502,501,500,501,502,800,501,502,500,503,188,503,500,800,503,502,800,501,633,960,500,500,501,501,500,501,800,500,649,502,282,502,500,500,503,502,800,502,800,16,800,16,800,800,503,500,501,501,16,282,857,649,800,800,500,502,503,503,649,837,800,501,500,503,501,649,800,501,800,16,800,501,16,800,503,800,503,800,649,501,282,649,500,500,800,649,503,500,503,618,649,384,503,502,649,848,649,232,500,502,100,500,500,502,649,649,107,800,501,501,448,502,107,500,649,503,501,502,800,282,649,396,649,649,500,500,107,807,16,282,282,502,649,501,649,800,502,800,688,502,500,501,503,282,503,503,654,800,728,649,504,500,501,501,649,649,501,502,649,502,501,282,500,503,503,500,103,107,504,503,578,828,502,502,500,649,800,503,800,500,504,501,501,800,503,505,503,501,503,501,503,649,649,649,800,500,502,800,759,418,503,407,501,500,800,282,800,800,800,107,503,16,282,500,501,503,813,501,649,503,503,503,502,502,649,649,649,501,649,282,800,501,501,501,800,501,501,16,649,800,649,500,649,16,282,649,649,387,502,500,282,502,282,500,589,800,282,10,503,501,501,649,503,501,16,800,501,503,800,502,501,107,501,500,649,500,503,825,16,500,500,16,501,500,500,282,800,16,649,800,800,502,800,500,649,503,282,16,501,282,649,503,503,16,504,501,500,501,800,500,503,649,500,995,569,504,805,282,800,503,649,767,649,832,649,800,500,502,649,800,809,16,800,450,649,500,649,502,500,502,107,649,502,16,502,504,800,649,503,501,501,649,282,800,649,800,501,800,500,501,373,282,800,1000,501,649,503,501,16,800,800,504,501,649,501,503,502,501,503,793,502,502,800,800,502,800,16,501,16,501,649,16,504,502,282,282,649,501,649,243,503,502,16,500,501,500,501,282,282,800,502,339,501,800,282,503,500,649,16,501,503,306,649,503,500,649,800,393,103,501,649,649,501,503,649,800,503,501,502,282,282,282,503,500,800,800,501,282,649,500,649,502,282,16,282,500,501,502,503,500,16,500,800,649,800,282,800,649,502,500,502,800,800,502,503,500,800,649,800,502,649,649,500,574,649,501,576,97,503,423,649,500,500,500,501,502,649,500,103,70,502,502,800,502,502,282,502,503,103,503,500,502,649,395,501,833,16,751,16,502,503,503,504,114,502,501,22,501,610,502,502,730,500,99,501,315,282,504,385,502,649,478,649,649,453,502,502,649,501,503,503,563,537,649,800,503,649,500,503,790,501,334,502,649,503,500,649,503,503,500,500,501,800,500,500,501,649,650,502,501,501,500,502,501,501,501,800,500,501,82,649,502,502,501,800,503,501,503,649,282,501,562,501,197,800,503,503,503,503,649,502,502,373,500,800,649,800,16,800,290,502,282,800,501,502,649,503,800,551,959,800,504,501,502,446,502,162,282,649,502,501,502,504,649,211,502,282,800,649,282,503,501,503,649,500,502,500,503,800,500,501,500,800,800,502,502,501,649,501,441,503,649,500,503,800,503,500,503,500,500,800,503,502,282,503,503,500,649,501,800,282,649,501,649,503,501,649,800,282,800,503,503,503,502,502,282,503,800,503,649,800,500,500,503,800,501,502,503,792,503,503,526,477,289,504,503,503,649,500,500,500,501,807,500,649,500,501,503,500,503,503,501,503,500,500,500,282,503,500,282,500,346,500,649,282,501,502,500,503,503,503,501,502,500,649,282,501,649,657,800,649,500,764,649,282,649,504,503,16,500,502,500,649,649,649,282,500,16,800,501,501,800,800,649,500,282,501,800,502,500,503,500,649,502,800,501,16,801,448,282,282,800,502,282,500,503,17,503,500,501,502,46,130,807,282,650,608,282,501,649,16,649,500,502,500,503,503,201,501,282,541,501,282,800,500,649,107,500,16,16,503,800,502,501,800,502,503,502,504,163,282,107,16,282,800,282,502,500,800,117,503,503,649,800,502,16,282,697,16,500,500,649,500,500,503,649,502,500,502,500,649,502,550,500,649,501,502,501,502,842,649,649,503,800,800,800,800,800,103,503,800,282,502,800,500,755,503,500,800,500,500,649,22,501,649,502,500,649,500,503,501,282,500,502,632,16,502,501,649,649,503,800,649,503,819,760,502,800,501,502,920,501,16,967,502,800,503,649,909,16,736,649,462,503,503,76,500,649,345,918,649,500,502,501,649,507,282,501,503,500,16,503,282,800,501,503,649,833,895,410,503,649,501,502,16,501,502,111,502,369,503,502,16,800,502,649,649,501,905,282,107,180,800,649,500,500,282,503,502,282,800,500,500,504,282,282,782,800,501,503,502,503,109,267,501,591,877,503,502,16,500,501,502,502,649,502,866,502,649,393,384,800,282,503,649,502,800,843,649,800,503,649,800,120,500,282,282,501,500,501,503,800,502,282,16,282,501,503,502,800,500,501,501,500,503,800,649,501,293,282,502,501,540,413,282,16,500,500,502,649,649,500,500,649,282,501,501,16,800,500,16,282,500,502,226,501,502,30,501,649,649,282,502,649,501,503,800,654,501,800,502,649,501,238,500,800,282,503,800,800,503,649,649,282,503,800,503,502,800,649,502,282,502,502,503,500,649,500,502,502,16,585,649,649,569,16,503,503,649,976,649,282,800,503,502,282,800,503,649,503,501,501,800,800,501,338,500,800,503,500,501,282,504,800,503,501,502,501,649,501,282,503,502,502,649,500,503,500,500,282,800,501,501,553,800,649,502,503,502,282,800,503,16,502,800,501,282,800,282,500,649,503,282,502,282,649,500,282,649,867,282,502,18,501,202,500,501,503,500,502,800,503,649,500,500,282,282,16,800,16,282,502,503,16,454,649,502,500,800,502,800,282,501,649,649,282,95,282,500,501,959,846,501,501,649,103,502,500,466,16,501,500,275,81,502,501,855,503,844,500,503,502,500,503,500,503,503,649,500,503,501,502,502,501,501,807,800,503,500,800,649,501,500,501,649,503,411,62,501,501,234,649,253,504,502,282,800,502,282,501,678,500,649,800,503,800,500,503,500,500,503,503,501,503,501,503,502,502,501,502,501,282,500,282,501,503,433,455,500,504,649,503,502,282,502,282,503,800,503,500,537,501,705,877,649,503,800,502,500,16,800,800,800,282,649,502,500,282,502,501,16,500,649,571,501,502,502,656,662,1000,282,800,282,800,800,649,649,800,502,282,639,740,602,368,501,503,756,16,501,649,284,500,503,649,500,503,800,649,502,503,504,502,282,503,16,423,502,800,502,502,649,65,501,502,503,818,16,59,502,800,800,501,282,16,649,503,282,649,502,16,472,502,501,502,502,501,282,16,503,649,529,800,500,800,556,502,649,501,282,128,500,503,915,500,502,282,502,501,500,500,800,649,475,500,504,107,107,502,501,500,649,502,503,503,16,282,800,501,800,500,649,501,367,649,503,282,500,501,503,504,502,503,800,501,500,503,800,501,503,482,138,501,649,503,500,503,502,649,282,501,501,800,502,500,503,114,502,800,282,500,502,649,500,402,500,649,501,649,503,404,502,500,931,541,501,800,500,800,503,502,649,649,503,16,800,16,502,501,800,282,501,503,503,282,107,749,502,503,634,503,649,649,503,940,16,800,914,800,502,503,502,503,800,501,503,503,800,649,501,501,649,649,501,37,44,501,16,501,503,502,282,501,502,501,503,501,800,16,575,501,800,503,649,501,282,502,501,501,103,502,502,503,502,502,500,624,503,800,502,503,282,501,649,503,500,649,501,501,976,16,649,649,649,800,501,649,502,649,500,588,501,501,800,107,500,501,800,502,282,800,800,503,503,503,503,531,501,371,503,217,482,800,649,500,519,723,500,800,282,800,503,502,340,800,649,800,503,282,502,282,649,502,107,502,501,502,800,800,800,504,348,767,503,282,800,502,649,501,500,649,503,501,134,800,334,502,527,500,800,971,800,500,625,649,16,501,503,502,649,501,649,501,649,501,16,501,500,649,503,500,282,502,502,800,500,800,649,107,502,502,502,500,282,16,500,800,800,649,481,502,501,649,502,503,503,649,649,266,70,503,800,107,503,16,501,800,800,700,501,500,502,800,800,649,649,500,502,501,800,800,502,501,501,649,282,295,502,501,800,500,649,501,288,501,649,503,649,41,502,649,500,502,203,501,649,282,503,501,501,800,746,107,649,501,16,504,502,800,503,282,800,800,800,503,502,500,282,800,107,503,502,503,282,503,16,959,649,16,501,212,502,800,502,282,501,16,800,503,649,800,501,649,502,800,503,502,502,502,282,502,502,800,502,501,990,503,500,503,282,502,503,649,502,503,649,501,500,741,500,502,649,503,503,502,16,503,503,503,501,649,800,800,503,800,800,282,885,893,432,502,500,502,450,649,649,705,500,503,365,502,500,502,375,502,701,649,527,502,501,800,503,16,500,649,501,800,800,502,282,503,649,649,500,800,502,501,503,500,649,501,500,649,800,304,500,800,800,282,504,502,800,501,800,649,649,649,500,503,501,649,501,225,501,503,503,340,800,282,613,903,649,503,500,502,501,649,800,503,502,649,282,501,500,501,282,878,502,501,649,501,800,800,649,282,282,107,500,282,500,649,16,503,282,922,503,561,800,503,800,800,800,501,503,107,228,894,501,501,503,503,649,282,503,500,282,502,503,501,504,800,402,519,503,649,649,502,501,501,501,705,674,503,500,502,649,501,504,502,282,502,107,282,501,763,453,649,501,502,352,503,800,502,800,503,500,501,502,500,399,800,503,500,649,707,441,500,800,503,376,502,500,800,503,501,800,503,500,282,737,800,897,521,649,800,800,501,500,800,503,21,282,16,503,500,503,500,674,501,649,800,503,502,504,502,503,500,501,501,282,503,500,649,501,257,501,504,502,800,503,649,649,501,503,500,501,503,502,502,67,501,501,282,43,282,500,355,282,502,501,502,501,282,282,649,16,501,502,282,500,503,154,503,503,282,500,722,800,800,500,282,282,649,649,501,370,501,282,503,501,500,501,502,282,649,503,103,800,404,107,649,800,649,649,800,282,501,503,500,649,501,649,503,501,6,800,503,501,500,984,649,649,500,502,502,649,502,501,282,282,107,282,502,504,501,503,501,503,800,502,500,282,282,800,481,649,500,500,501,502,500,500,502,800,574,500,501,501,649,500,923,501,282,171,800,501,649,649,501,501,170,503,649,503,16,501,649,502,343,503,800,502,800,800,282,649,502,649,502,649,767,503,649,501,502,800,800,649,711,405,517,504,649,649,649,649,500,502,501,503,749,841,282,800,503,16,315,763,950,800,503,800,501,649,649,649,649,117,16,500,183,649,500,503,506,800,649,282,503,500,500,649,533,503,909,16,501,282,268,805,16,732,500,502,502,500,501,649,502,649,503,800,501,800,800,502,902,501,500,16,500,520,800,503,573,504,500,501,502,503,500,756,649,501,501,500,503,501,501,649,705,500,800,800,503,831,502,665,502,504,500,282,649,800,282,503,282,649,800,503,16,500,502,800,800,107,502,501,500,16,22,282,649,503,16,502,500,800,500,800,800,649,501,501,503,129,282,649,503,614,503,500,800,502,649,504,800,503,500,500,501,649,502,181,503,16,510,503,503,502,500,502,502,500,500,502,503,503,503,649,502,649,503,649,500,649,502,503,103,772,282,500,502,500,649,501,800,502,501,649,503,503,500,502,500,744,500,464,282,649,500,499,800,649,500,885,503,800,501,501,800,500,480,501,500,503,503,503,16,800,800,502,502,503,800,502,800,500,16,800,503,500,649,649,503,501,800,502,16,500,649,987,16,649,282,800,469,501,502,500,282,941,481,800,310,800,827,290,501,503,500,502,500,501,257,649,399,501,503,800,502,501,504,502,500,500,502,649,649,502,503,149,800,800,503,503,649,501,16,501,800,503,502,954,282,16,435,500,502,649,282,501,501,282,503,502,525,800,649,501,500,503,500,800,989,649,800,500,502,500,500,23,501,500,502,800,649,649,800,649,800,500,39,502,502,502,107,502,501,501,503,800,501,500,649,501,649,457,701,649,500,503,800,649,649,16,453,649,628,649,730,649,503,500,502,503,282,377,503,282,500,500,504,503,649,503,649,566,502,649,503,7,501,501,121,800,649,167,502,649,500,800,501,501,500,282,341,369,800,16,502,770,649,500,282,753,649,800,983,452,500,800,552,800,649,642,800,503,504,282,16,500,800,501,503,800,501,503,800,649,501,649,202,501,800,500,800,502,800,502,800,502,800,649,649,800,501,649,500,501,544,533,502,503,649,502,503,800,501,800,501,282,502,853,800,503,59,800,501,649,282,501,282,502,503,800,501,800,503,649,649,501,501,501,800,16,500,502,500,800,394,649,501,282,649,287,503,501,649,501,501,501,502,501,502,258,504,500,500,800,800,500,649,500,454,502,121,649,503,282,800,800,502,501,502,500,502,800,800,503,502,503,500,503,502,282,502,500,16,503,906,503,649,502,800,503,502,503,800,503,503,649,800,800,503,501,502,93,501,500,721,500,16,501,500,500,503,800,502,649,500,649,792,16,501,503,649,502,503,501,502,649,800,800,798,503,800,502,501,838,500,501,501,438,800,502,20,502,504,504,500,93,503,282,800,500,649,649,500,649,649,502,504,502,649,503,503,503,16,500,503,503,282,16,500,501,148,503,503,649,111,271,800,493,345,502,502,503,649,500,503,649,503,500,501,649,800,502,500,282,800,800,500,500,800,500,649,502,501,16,16,501,503,503,532,503,800,282,500,687,502,649,501,282,649,503,800,503,649,649,649,282,500,501,502,500,502,500,107,337,8,500,501,503,113,649,649,649,800,649,800,800,940,800,500,500,502,800,500,502,282,649,800,500,503,649,500,503,503,649,501,501,628,503,800,649,502,503,503,501,800,502,501,502,649,649,800,800,503,800,501,649,501,22,245,103,503,407,500,503,501,649,153,500,503,501,649,282,502,732,282,118,501,467,800,282,501,503,502,500,649,441,500,649,503,501,502,503,800,500,632,501,500,502,375,502,649,649,503,503,649,800,16,503,800,503,649,502,500,502,96,282,800,500,501,800,282,800,649,503,800,800,649,503,450,649,649,503,503,501,503,800,355,503,649,502,502,334,503,800,504,503,649,800,800,501,501,607,501,800,649,501,282,501,800,501,282,800,800,502,939,789,502,800,504,503,504,500,502,501,503,649,501,503,500,503,800,503,501,502,800,800,501,800,501,649,500,502,500,800,500,16,503,503,500,501,504,502,501,800,502,503,800,649,500,800,282,500,282,649,649,503,320,504,800,800,890,500,500,282,800,501,500,649,502,16,502,500,500,502,503,500,502,649,500,501,16,501,800,649,503,800,33,502,502,800,503,500,503,502,282,501,628,862,649,503,500,503,501,502,500,501,649,800,800,502,503,103,649,501,282,501,503,503,502,282,800,158,907,282,501,282,800,504,16,503,800,549,502,504,800,500,649,501,800,800,500,768,502,500,500,649,500,800,501,502,114,500,649,199,282,372,282,705,800,500,918,503,282,282,502,502,170,503,501,503,649,501,500,503,503,500,800,649,800,504,800,500,800,800,502,649,925,500,649,500,501,800,16,69,213,500,619,103,649,649,500,800,504,503,500,501,503,503,649,220,502,503,502,649,503,502,929,993,503,649,875,753,649,501,649,800,501,501,649,500,800,503,750,886,800,500,503,107,649,800,503,137,503,785,503,500,870,800,503,649,800,649,16,501,431,126,500,502,501,501,800,502,500,800,16,649,501,503,629,649,107,503,502,800,626,800,502,649,800,501,500,649,649,803,504,100,800,500,502,16,500,500,501,501,800,789,500,649,28,800,649,800,502,500,503,575,500,649,501,649,503,118,502,500,741,504,503,966,934,649,500,502,503,503,649,500,800,800,800,951,282,501,649,649,800,501,800,503,16,800,10,282,500,103,503,503,503,501,649,500,501,500,502,18,878,649,504,502,282,503,501,800,649,649,502,653,16,16,502,282,236,800,88,503,649,500,282,502,602,282,501,502,500,980,502,501,502,501,502,502,649,500,502,800,384,800,885,649,503,282,501,649,130,800,475,800,800,800,503,212,502,800,800,282,503,500,503,502,503,800,502,501,879,501,16,397,864,501,503,503,501,132,501,649,800,649,500,501,500,501,502,800,500,514,910,503,649,500,800,503,503,501,800,504,282,501,503,501,500,649,502,776,500,800,500,503,282,502,800,502,415,649,16,503,503,971,649,502,16,800,16,103,503,501,361,800,503,800,500,282,503,500,503,502,502,500,501,501,504,16,282,501,500,501,502,513,59,503,649,501,500,500,282,16,500,500,649,973,649,649,500,501,502,800,569,500,502,800,503,501,800,500,502,649,502,500,502,434,54,500,501,54,16,671,501,800,734,500,501,649,503,800,107,500,907,16,439,503,282,502,107,800,16,502,800,502,501,800,282,649,500,503,501,800,494,504,800,500,570,503,600,800,503,16,649,800,282,503,500,500,649,564,503,800,501,500,500,107,800,785,705,502,500,501,503,105,342,185,502,503,49,500,501,503,503,502,813,502,143,604,800,502,500,800,282,501,503,537,501,501,501,800,16,800,282,502,800,146,501,502,567,501,502,502,800,502,800,501,501,182,503,649,649,649,800,649,502,64,503,408,503,800,500,800,500,503,649,238,16,282,502,500,502,500,282,502,503,501,203,800,800,503,48,649,282,500,800,500,7,501,501,16,501,503,500,501,800,649,500,501,800,800,649,16,649,16,502,502,282,649,503,501,501,155,649,501,649,282,503,500,503,16,502,800,500,649,649,800,282,501,649,16,501,500,800,800,500,500,500,282,504,995,502,649,502,996,382,888,282,947,503,500,649,800,503,501,649,649,504,282,800,500,500,16,800,502,649,282,503,282,800,649,501,869,502,502,502,649,500,282,500,103,500,282,502,500,501,501,343,501,500,500,645,501,501,501,800,107,502,500,649,16,502,493,502,500,800,500,649,800,341,752,800,649,501,500,91,800,502,503,897,968,502,500,282,503,800,502,503,502,356,800,503,800,732,800,800,800,649,800,500,501,502,800,500,503,282,503,504,503,976,800,500,500,743,502,800,917,800,649,500,389,501,501,649,501,649,800,501,500,502,502,649,502,503,503,503,503,502,500,503,502,500,649,359,502,502,800,503,308,800,504,69,848,800,800,503,282,501,501,502,502,502,501,501,800,649,502,636,103,500,503,800,500,282,503,649,800,649,501,649,503,282,649,502,107,503,500,503,800,901,800,649,800,800,960,502,398,800,502,660,800,186,502,800,502,840,888,503,800,649,800,282,502,800,503,500,500,649,504,800,81,502,649,501,502,502,502,503,503,38,74,800,649,503,500,282,891,503,502,282,282,893,501,501,649,503,231,108,502,503,16,800,503,502,578,800,282,500,502,501,282,503,800,649,502,500,800,501,649,16,649,503,501,501,208,282,503,800,172,800,516,16,503,501,649,800,649,503,502,501,649,502,800,502,501,649,686,780,649,500,722,501,502,502,92,282,800,800,501,649,502,502,501,253,501,800,530,407,500,500,649,231,649,484,800,500,282,503,800,649,500,800,502,503,649,501,502,649,501,503,500,500,282,282,649,950,496,501,501,16,14,503,500,424,572,503,500,282,282,501,649,500,282,103,504,800,800,500,503,500,502,501,282,705,501,257,500,800,649,501,649,501,503,462,501,501,800,503,502,649,503,504,502,649,649,405,282,649,14,68,270,724,532,502,16,500,503,412,503,649,282,503,111,649,620,649,501,282,282,649,501,501,649,502,707,605,503,502,16,503,502,503,502,501,500,503,500,649,771,649,800,502,503,502,503,649,525,500,500,503,500,649,649,500,282,501,503,503,800,235,649,502,514,800,649,282,500,649,502,282,968,800,503,502,800,649,503,649,800,800,800,800,501,500,282,500,800,503,649,156,502,500,87,649,496,500,973,800,500,282,16,441,620,282,800,701,503,502,16,503,800,649,502,453,720,107,800,501,649,502,502,282,500,501,501,649,765,649,649,503,649,16,107,16,282,649,503,302,914,649,500,501,503,502,503,141,503,649,800,501,649,502,649,855,502,649,502,282,501,107,502,503,502,501,503,649,630,504,816,500,16,502,500,800,500,649,282,304,649,837,16,649,502,800,649,282,16,649,500,649,502,282,800,503,501,979,562,501,627,500,649,501,16,501,502,282,722,801,502,808,502,502,501,14,500,502,800,800,800,649,503,502,501,501,502,503,800,16,16,500,503,853,282,501,800,649,503,107,501,504,998,500,362,500,294,649,362,800,908,500,649,16,503,282,649,503,103,649,800,649,518,501,649,500,504,800,617,282,503,649,500,503,501,800,734,501,501,282,788,502,282,53,800,649,500,800,800,282,501,282,502,16,504,502,282,800,500,502,649,502,44,501,282,502,503,539,503,501,282,502,504,501,649,503,500,503,502,414,501,299,587,500,500,649,649,924,800,800,502,503,502,501,800,502,806,502,502,500,503,16,503,501,501,503,502,500,800,107,501,800,503,502,282,503,503,504,16,500,502,800,502,501,282,649,500,649,502,502,502,500,282,501,500,502,800,225,282,649,525,503,501,502,501,649,380,649,502,503,119,800,500,649,503,502,503,649,502,503,471,649,649,800,500,501,126,503,503,500,503,500,503,502,500,202,502,445,800,16,800,107,649,502,800,502,502,649,649,800,501,596,503,649,501,282,886,649,282,805,800,649,205,649,800,53,918,649,501,502,500,800,503,800,500,500,502,649,649,502,85,500,674,500,501,649,800,304,502,800,800,502,501,649,500,107,503,376,800,649,649,500,924,649,502,502,501,500,503,800,649,907,689,503,501,649,145,500,503,501,800,503,501,500,850,800,649,649,500,649,649,500,800,501,502,649,503,19,503,503,649,140,500,503,501,501,543,502,204,649,501,282,649,500,800,548,501,649,649,287,794,500,503,649,649,16,740,800,501,502,500,401,800,800,501,503,345,705,500,501,800,503,500,800,291,502,931,298,501,800,800,500,800,502,502,501,282,282,500,501,887,282,386,649,329,502,501,364,500,501,800,800,282,649,500,16,500,44,800,502,502,649,502,502,503,501,502,282,500,500,282,282,800,500,390,649,800,48,800,649,282,649,649,503,502,502,282,501,528,501,500,276,800,503,649,500,16,649,257,501,500,502,502,381,800,16,649,800,649,503,501,800,500,501,800,502,503,107,16,500,800,649,16,282,502,503,501,501,670,501,501,503,800,800,649,68,649,503,502,800,501,800,967,503,102,649,502,649,800,649,516,500,503,500,800,800,501,649,857,501,649,482,502,502,501,649,107,331,282,800,649,16,282,800,649,503,501,501,649,503,500,500,501,800,649,912,800,501,502,240,649,503,501,282,503,800,503,500,16,800,503,500,883,500,501,432,800,649,503,503,16,649,501,502,649,902,282,800,364,282,282,649,501,800,800,800,649,649,501,500,282,503,502,160,800,502,503,502,800,649,500,649,502,649,726,800,800,502,501,376,203,800,649,962,504,649,649,501,503,649,282,649,649,503,501,986,218,649,501,800,502,282,649,649,500,800,16,800,649,500,800,501,502,112,500,502,407,649,649,72,800,500,500,500,502,502,500,282,800,728,503,282,502,927,649,800,649,16,500,282,501,800,800,501,503,649,503,282,501,103,800,649,156,649,501,501,649,503,881,282,500,649,800,649,501,649,649,503,649,810,800,800,649,501,16,649,503,501,501,800,800,649,501,649,503,502,16,502,502,649,502,800,501,501,500,282,800,352,503,501,800,67,500,107,503,500,500,503,503,309,501,649,282,501,649,874,800,757,502,649,16,503,500,503,503,502,800,649,800,500,501,502,500,800,356,501,500,649,282,500,649,282,503,800,800,259,386,502,872,501,261,87,898,800,800,800,282,500,502,800,800,638,282,503,503,500,503,649,800,502,16,800,502,501,800,503,503,501,503,501,649,282,500,500,649,501,200,649,282,500,502,503,750,649,502,500,503,501,103,501,800,503,800,800,107,501,503,934,503,649,800,203,800,667,500,46,649,503,962,503,800,501,649,501,503,649,500,649,500,503,500,504,501,107,502,503,500,649,500,649,282,800,501,800,124,502,282,800,499,501,90,500,649,16,501,800,16,649,502,800,503,246,502,502,501,502,504,359,501,500,282,503,649,282,990,16,501,763,501,275,282,649,503,243,649,501,502,502,800,649,800,501,501,649,800,501,502,500,800,500,500,502,649,645,282,800,282,800,502,500,501,190,649,502,16,675,501,575,501,282,20,800,156,282,16,503,500,600,501,502,501,795,500,500,503,500,502,422,503,107,282,649,500,502,100,502,500,503,503,500,649,501,800,289,503,503,649,501,503,502,500,502,502,16,800,502,282,501,282,649,985,503,649,501,501,501,649,503,282,502,502,500,503,501,653,503,521,107,649,282,293,649,649,504,501,282,502,402,500,503,501,800,501,500,649,649,16,146,503,649,502,500,500,48,503,503,500,501,503,501,649,503,502,500,502,800,649,649,282,503,282,504,282,705,503,500,649,649,502,649,649,503,501,500,503,503,502,502,353,503,562,500,800,220,419,503,503,800,501,500,800,800,501,501,800,16,502,502,323,501,848,800,271,503,502,282,502,800,502,503,501,800,354,16,501,649,504,800,121,282,501,500,626,502,503,502,800,800,16,649,282,282,504,500,500,504,282,800,649,501,800,800,812,503,502,502,649,500,107,502,503,502,502,800,502,500,501,800,503,103,504,503,500,503,945,500,649,800,503,649,649,649,649,800,800,502,991,500,500,800,500,417,516,500,502,649,649,502,502,502,500,837,800,503,503,502,502,502,500,417,432,800,503,800,500,502,800,502,16,832,502,800,502,649,282,501,501,282,500,800,500,501,107,501,800,501,502,500,500,500,504,103,800,503,502,500,500,501,649,501,811,649,502,649,649,649,649,503,501,282,800,502,503,502,502,501,800,504,282,501,501,800,501,800,502,502,500,501,800,800,563,800,800,503,649,649,503,503,100,500,282,503,502,800,502,502,649,503,800,16,800,282,502,501,814,503,503,502,282,500,500,800,503,649,501,711,649,16,500,800,649,503,504,500,500,649,502,501,501,282,502,282,500,800,16,649,182,501,500,800,649,800,800,282,501,502,16,503,282,503,282,501,282,232,899,502,800,502,282,501,504,503,649,500,501,16,501,649,502,500,503,649,282,649,649,540,501,503,611,464,649,504,167,800,250,649,769,800,982,724,649,800,503,500,107,501,800,501,503,500,800,501,829,282,649,800,501,651,501,649,649,500,392,800,16,501,502,282,501,800,282,501,649,800,800,649,649,503,501,502,502,649,502,502,649,516,502,746,503,282,103,16,502,501,503,800,859,501,501,800,503,649,16,500,502,303,500,501,501,502,800,282,501,112,500,649,197,500,800,502,503,590,501,501,800,649,502,501,502,649,864,503,503,800,502,649,282,800,503,500,500,501,500,501,503,500,282,501,503,282,503,502,503,468,16,282,501,916,501,800,282,672,649,800,500,103,503,282,800,502,500,504,501,186,500,649,500,340,639,500,124,800,501,649,824,387,649,503,417,500,502,504,649,649,501,503,705,649,502,501,961,502,282,800,502,503,107,500,503,147,282,800,500,501,800,501,282,500,757,504,502,503,500,649,501,501,501,502,501,501,649,649,500,501,265,800,501,800,503,800,282,649,282,500,502,501,282,800,282,501,649,500,502,501,649,282,800,649,16,16,800,107,649,501,502,501,282,503,503,502,800,501,800,501,649,500,800,16,649,503,500,800,500,503,649,500,649,503,649,282,649,588,649,282,649,20,502,502,502,298,800,503,503,282,282,500,501,500,502,502,800,107,501,800,501,502,649,649,649,503,504,501,502,282,282,807,502,502,503,500,501,501,500,501,649,800,691,501,282,649,649,503,649,503,503,500,504,504,649,502,502,800,649,504,503,649,502,503,282,649,282,800,649,503,649,282,524,502,500,503,502,649,104,649,365,502,504,502,16,649,502,502,288,16,501,501,227,103,71,501,501,800,501,503,501,500,503,503,670,282,282,800,503,649,501,649,502,800,500,500,503,800,500,502,800,800,503,503,359,800,865,501,800,500,503,500,649,411,502,503,16,502,800,108,500,649,649,503,4,504,800,16,500,502,800,503,501,502,649,503,501,502,501,502,282,501,282,183,501,800,800,502,503,649,502,503,867,502,503,282,503,500,16,502,795,107,800,16,649,500,503,800,649,536,282,809,800,502,500,16,502,502,512,503,503,314,502,502,500,500,501,503,800,730,503,504,503,649,500,649,36,501,502,501,503,502,502,500,16,800,145,500,393,503,277,502,501,503,500,119,502,800,800,31,502,503,503,649,501,500,502,502,500,252,503,461,431,649,502,500,649,649,800,503,502,501,252,800,649,502,503,502,649,503,502,503,282,649,502,649,649,16,501,61,282,500,502,503,500,16,358,500,502,535,800,800,800,418,500,800,16,282,502,800,503,502,503,800,800,137,502,503,501,501,502,500,503,500,649,502,503,16,298,500,500,502,503,501,649,282,500,46,637,504,501,502,143,649,501,394,649,501,649,649,503,503,107,501,16,501,501,500,477,502,107,502,967,502,16,502,502,501,800,503,500,502,546,500,282,503,223,502,649,503,915,800,500,501,501,193,800,649,800,178,282,501,800,503,649,502,16,282,503,282,668,800,503,282,500,500,154,282,481,502,503,92,500,274,503,503,500,279,748,649,16,501,800,649,502,503,282,503,800,649,502,800,649,501,503,244,503,16,503,649,800,502,502,60,500,800,502,442,503,500,502,500,501,107,649,282,503,503,800,502,502,800,16,500,501,302,282,501,501,500,501,501,96,501,500,94,502,16,503,649,649,500,501,133,649,649,502,282,282,502,503,500,800,282,800,500,501,503,70,800,649,503,500,502,16,282,649,800,800,649,501,502,502,800,501,800,800,103,16,502,800,801,502,800,282,679,502,16,570,502,282,503,500,501,649,509,800,800,748,627,504,500,800,500,503,800,503,722,503,502,501,500,500,502,502,500,649,649,502,649,649,503,502,503,500,501,502,500,649,649,502,503,502,500,500,103,649,800,502,503,502,500,502,16,502,800,649,751,502,773,502,282,500,501,689,800,501,649,649,503,501,500,503,282,503,503,7,620,503,649,500,501,649,502,649,800,503,501,500,502,800,502,502,501,800,503,649,502,107,324,502,503,429,282,502,282,800,502,501,500,501,16,16,649,501,502,68,502,415,800,800,16,649,649,803,501,649,500,649,649,501,501,16,649,649,503,792,503,500,282,503,503,503,282,649,500,500,282,502,500,502,501,503,503,649,800,502,501,800,503,502,502,800,501,800,462,649,800,500,501,649,800,282,502,873,501,501,649,649,502,501,282,649,649,649,504,649,800,800,501,500,649,503,500,500,502,503,649,502,880,800,800,309,500,649,800,503,503,503,502,500,502,501,649,503,501,116,16,500,800,800,501,503,255,500,103,192,282,649,800,502,501,501,502,503,503,649,216,800,501,501,800,502,800,649,504,500,800,649,16,502,649,107,500,649,503,501,136,656,501,500,501,649,649,500,516,501,502,503,649,807,503,502,500,501,382,500,504,649,504,503,500,503,502,282,501,502,504,503,502,800,501,500,502,800,501,649,503,503,800,500,500,500,282,800,503,800,591,502,649,501,11,502,501,500,500,503,503,502,800,6,503,649,800,649,501,800,649,800,282,502,587,649,500,502,16,649,654,503,282,16,27,500,649,503,503,128,655,800,800,504,503,800,500,503,502,800,503,800,503,502,500,502,800,503,501,800,502,503,742,500,800,148,502,500,389,16,649,282,368,649,233,649,800,320,501,282,16,501,501,503,500,503,95,501,800,800,502,16,502,501,500,649,103,500,503,501,502,503,478,502,500,502,282,16,275,500,503,503,649,500,649,800,503,503,16,649,500,500,800,503,500,807,649,800,501,649,503,649,503,503,502,503,500,282,282,503,379,501,502,503,500,800,501,675,502,282,500,282,800,29,800,649,504,502,861,504,800,800,385,503,503,781,16,346,800,282,501,500,502,501,800,16,800,503,16,501,502,502,502,649,504,503,502,501,573,800,500,567,502,282,649,501,502,649,483,500,501,501,501,435,649,502,282,16,282,503,800,800,649,502,800,500,495,500,282,504,649,282,503,649,94,800,649,501,503,955,503,91,500,800,501,501,649,503,800,502,502,800,800,500,503,282,501,500,503,282,502,503,501,501,501,649,504,103,500,16,502,800,501,800,502,282,503,502,649,500,501,503,502,500,502,649,503,504,500,501,800,664,282,493,503,800,503,501,502,649,504,649,500,800,649,800,500,503,502,649,503,800,502,231,500,503,501,500,494,16,407,500,503,503,650,649,107,501,649,189,501,282,956,503,500,500,500,16,501,669,299,800,800,459,500,759,276,800,104,503,649,500,154,503,649,501,649,503,337,500,895,800,16,199,800,649,503,649,502,870,649,501,134,502,502,649,503,500,16,504,931,16,500,501,649,800,800,503,503,649,649,282,501,502,500,649,502,502,649,16,503,500,146,485,629,800,500,502,649,390,500,282,501,693,800,800,649,800,807,282,800,649,28,800,502,282,871,800,649,500,777,501,500,800,366,502,501,649,500,503,500,16,220,503,86,501,503,501,16,532,348,16,502,649,503,557,649,649,500,502,502,649,649,502,503,503,501,502,687,503,500,500,649,649,649,800,503,649,502,503,482,649,500,282,478,282,649,282,800,800,503,800,504,501,800,16,800,503,649,502,3,501,503,369,503,705,503,501,649,503,103,649,503,832,649,138,366,800,282,503,501,500,800,503,800,501,649,574,800,649,501,626,500,649,524,559,502,226,500,501,501,193,503,282,501,501,503,500,501,254,800,503,503,502,649,294,107,501,500,503,756,649,800,649,691,282,649,502,63,503,500,500,501,107,503,649,500,503,502,502,649,282,649,282,501,800,500,501,649,15,500,500,502,649,800,800,78,501,502,502,103,503,282,282,800,501,282,503,502,16,502,288,502,502,502,502,502,908,502,503,501,501,649,649,500,504,655,302,503,649,16,502,282,282,500,500,502,800,500,854,502,502,528,327,500,16,800,503,107,503,800,502,800,800,282,730,800,501,503,503,16,90,501,800,649,500,282,502,502,549,16,800,800,800,503,500,475,503,502,500,282,501,240,649,800,503,502,503,503,500,245,503,500,503,649,500,800,504,501,282,500,502,800,649,501,107,800,500,500,502,501,500,182,500,504,501,649,501,649,16,793,500,282,500,149,800,800,502,282,501,502,503,282,800,503,502,800,800,503,649,721,800,800,501,502,500,502,89,502,800,501,16,501,502,324,502,649,502,502,501,649,649,800,800,852,500,503,699,503,501,442,500,800,500,282,944,502,649,16,282,503,411,503,502,502,500,501,502,800,503,998,282,800,501,503,447,501,503,863,282,502,503,649,501,209,501,504,282,282,282,503,16,500,503,503,502,649,649,800,16,800,282,800,282,800,155,502,502,503,107,823,501,500,649,282,282,501,95,649,107,649,349,800,502,173,649,649,500,502,502,107,502,501,500,649,800,526,502,502,800,502,649,500,800,649,500,502,502,501,503,504,503,411,501,315,501,501,649,501,649,502,502,501,503,501,502,503,282,502,503,500,501,649,800,225,501,800,1000,501,501,501,649,649,503,282,282,649,500,504,500,500,502,503,502,501,503,504,649,649,503,447,784,649,503,683,503,288,500,500,501,503,503,800,649,706,282,649,800,501,800,503,503,501,502,223,800,800,282,503,176,503,502,282,800,649,800,282,500,501,800,502,40,500,501,107,503,502,503,11,500,282,800,502,502,221,649,503,800,500,501,502,501,148,502,500,649,500,503,502,964,649,800,663,776,800,649,502,16,16,682,976,502,500,501,282,503,800,800,649,502,649,800,649,351,649,502,649,501,569,503,501,503,282,503,649,800,501,649,502,800,501,649,649,800,500,649,189,649,103,16,501,500,282,500,649,500,517,237,282,649,649,502,618,800,282,800,500,503,282,649,649,501,282,800,502,501,507,16,649,502,800,501,705,142,800,500,649,107,705,800,649,649,500,282,16,649,282,500,800,502,500,502,501,766,156,733,503,502,502,502,501,649,500,465,501,526,545,282,501,649,351,500,649,649,501,502,504,107,800,16,500,502,871,501,282,780,502,503,282,16,282,502,282,501,649,504,501,649,868,282,501,16,256,107,649,502,500,500,649,502,502,500,984,694,500,501,649,16,502,502,282,503,502,800,503,501,800,649,273,502,504,502,500,800,800,800,503,503,649,500,800,649,501,800,282,800,500,503,3,558,649,800,800,251,854,800,800,800,502,16,282,501,282,800,649,16,503,500,324,502,502,502,509,501,503,503,649,503,282,473,800,657,291,502,502,500,500,649,500,501,16,500,649,16,649,502,800,502,500,503,503,16,649,649,503,503,403,986,800,502,129,503,800,500,649,649,502,16,182,500,502,649,501,649,500,500,649,501,855,502,503,16,16,649,502,500,649,502,501,16,500,503,952,501,502,501,501,649,500,800,502,500,503,282,800,679,500,649,500,503,800,800,500,502,163,282,282,985,503,649,500,503,501,503,800,500,501,649,649,500,282,988,856,503,649,378,502,500,502,705,282,502,282,107,501,649,502,503,502,502,500,800,649,282,502,800,501,503,649,800,501,649,502,611,103,800,800,800,649,794,500,800,800,503,168,503,649,500,628,501,501,282,503,489,503,649,649,500,282,800,800,503,502,502,501,696,500,800,282,800,154,649,500,800,503,800,649,500,649,500,19,502,554,97,668,649,501,649,502,502,649,800,504,501,503,123,502,502,282,649,59,501,410,503,502,649,502,503,502,500,649,800,503,502,282,942,501,800,800,501,930,502,500,16,502,157,500,500,501,649,800,800,501,496,234,649,502,800,500,800,500,503,244,503,800,928,649,502,502,762,800,500,502,867,503,501,503,800,649,500,502,502,592,503,501,501,800,800,649,502,190,500,568,649,503,800,500,503,649,503,503,664,503,501,800,800,501,282,649,503,502,800,501,282,649,649,501,800,503,453,500,502,502,500,383,501,501,501,16,502,502,251,502,785,503,502,107,502,501,503,500,282,282,504,282,503,103,649,503,800,500,649,649,503,503,501,358,501,649,502,500,800,800,500,500,241,502,649,800,339,701,502,800,800,500,502,649,500,800,502,649,502,502,781,282,571,500,502,501,503,800,502,500,649,764,176,502,501,501,952,282,649,649,511,800,500,503,501,800,500,579,500,282,500,503,502,502,649,500,501,503,282,500,501,503,649,500,649,233,80,649,500,800,649,503,503,463,502,649,373,500,502,649,137,501,305,502,502,503,649,649,504,503,649,800,503,807,78,500,501,800,800,503,800,502,649,800,649,502,502,502,504,800,804,501,282,502,282,540,503,649,649,501,501,500,502,503,800,502,800,800,502,501,500,282,103,502,503,502,500,206,502,500,282,649,800,503,500,764,502,500,800,800,501,502,501,504,349,501,649,502,503,501,16,922,501,501,503,502,107,500,16,128,800,800,502,800,800,503,800,107,501,142,800,800,501,649,649,16,500,502,800,500,800,503,282,649,502,500,500,503,107,800,649,800,649,282,282,282,503,800,501,503,16,502,282,649,502,500,800,500,500,282,800,800,991,501,100,800,282,501,808,502,502,501,500,502,843,800,282,502,282,75,503,500,501,800,628,500,282,649,502,500,504,500,500,501,482,500,501,800,443,649,500,649,800,800,800,282,800,502,649,501,501,503,371,282,503,500,662,503,705,500,502,282,800,800,389,727,503,500,500,504,503,503,833,500,503,500,502,501,503,649,501,800,649,503,501,500,503,500,411,282,649,649,800,502,33,500,649,501,800,649,501,501,26,649,649,209,557,273,503,649,503,800,800,282,502,649,282,503,503,500,501,501,188,501,502,800,503,282,177,800,800,501,282,501,503,500,501,649,851,800,800,800,503,501,502,500,503,503,649,800,282,649,503,16,501,649,649,500,800,800,282,16,503,503,723,502,501,502,500,502,503,501,503,501,649,281,503,208,42,800,282,800,649,97,502,193,504,800,800,211,282,500,800,649,502,503,800,649,16,500,649,738,503,649,800,501,800,649,501,501,500,502,503,282,503,503,501,502,293,503,502,502,800,501,282,649,502,800,800,649,649,16,282,81,649,501,800,649,501,503,638,282,500,504,503,500,502,800,502,800,649,501,800,500,500,800,800,502,16,282,800,282,546,282,501,501,656,608,800,500,504,800,500,649,806,282,649,800,800,502,800,854,502,500,501,155,500,501,503,649,649,500,503,501,282,16,503,501,501,500,503,501,649,501,500,503,503,745,503,277,649,800,503,501,500,282,503,503,649,406,504,16,504,649,502,503,501,107,649,727,107,107,503,649,500,923,501,502,856,282,502,282,649,107,800,800,165,500,800,649,501,502,500,502,500,800,899,649,800,503,500,500,800,11,111,501,502,502,501,502,502,649,107,800,394,649,503,800,800,501,649,501,649,859,424,503,501,800,282,501,503,16,502,800,500,649,500,500,649,103,501,800,16,282,649,503,503,503,370,501,800,649,501,501,649,502,503,107,501,501,649,501,500,649,282,503,548,321,576,501,649,503,503,800,800,649,502,503,649,503,502,649,503,705,501,800,649,282,649,649,649,502,502,503,649,800,649,890,504,800,501,503,501,503,871,354,501,503,503,503,501,800,500,990,503,500,501,502,800,502,502,502,501,282,503,800,282,500,500,649,502,445,503,849,503,504,502,16,649,16,501,503,84,282,800,282,800,800,501,650,282,502,800,800,503,500,800,504,500,800,107,800,501,504,649,649,502,503,165,502,501,649,478,502,282,649,203,444,500,502,800,800,282,504,502,503,501,52,503,501,649,502,502,691,501,800,503,800,503,500,501,500,109,16,501,500,107,500,503,649,500,649,503,500,201,377,502,688,649,649,649,503,501,991,649,363,931,107,336,502,503,500,282,501,107,502,500,501,502,503,503,500,107,649,282,636,16,800,649,424,458,61,800,800,16,800,503,500,487,101,502,541,501,501,504,502,449,501,501,501,800,500,501,649,503,502,800,504,500,503,501,500,502,500,500,503,502,501,501,501,502,801,649,800,649,316,800,649,501,16,649,120,16,800,502,500,800,501,500,800,649,16,500,501,501,238,500,954,624,501,501,649,503,503,649,503,800,503,502,16,649,503,500,647,16,649,16,501,501,649,501,503,503,800,503,500,800,500,503,282,918,503,16,649,503,807,509,282,501,991,502,800,500,900,500,501,649,503,502,16,960,502,502,800,502,502,503,752,800,501,282,501,503,16,16,503,282,500,500,800,503,16,500,649,800,501,502,25,107,103,500,503,500,503,800,800,500,501,800,936,502,501,503,502,800,503,503,502,800,503,979,800,800,649,503,800,649,649,897,16,649,810,501,649,649,502,107,635,502,649,947,503,501,500,503,549,560,502,16,800,503,503,649,503,16,500,800,501,500,16,180,533,53,500,500,649,639,503,16,503,282,500,502,501,503,502,282,800,103,282,782,25,649,500,502,500,649,649,503,298,649,967,503,649,501,170,503,649,649,442,535,503,502,503,502,649,649,501,502,500,146,502,503,500,190,649,503,503,800,503,501,980,500,16,800,747,649,588,282,502,500,649,501,649,502,649,501,42,503,502,16,500,502,502,320,800,800,503,503,649,649,649,282,503,107,282,500,649,502,862,500,282,649,800,430,500,800,800,502,502,282,649,649,504,501,500,800,282,500,503,649,503,461,502,501,282,502,649,800,649,500,502,503,378,282,282,503,500,501,503,16,503,503,502,800,500,501,504,500,282,500,500,502,649,502,503,282,501,624,502,723,649,502,800,490,800,503,869,502,501,800,751,504,649,501,501,16,502,503,649,800,904,36,502,501,503,503,800,500,503,501,148,649,163,500,16,581,16,503,502,500,649,649,503,503,800,501,124,503,800,649,500,500,800,414,649,504,282,500,800,503,649,500,800,501,502,649,502,501,502,503,282,501,504,503,6,282,282,282,502,649,502,500,649,501,649,282,62,500,503,500,282,500,502,800,649,501,504,500,503,500,501,503,600,800,353,503,500,502,503,649,649,282,501,502,282,501,649,800,502,800,502,290,500,500,501,501,501,500,649,649,16,800,500,502,688,77,800,501,500,500,649,500,800,800,500,500,649,800,500,282,800,501,649,800,649,501,649,755,501,501,800,500,503,800,800,800,649,500,500,783,501,501,501,800,501,503,282,649,502,649,782,16,500,871,565,503,502,800,649,503,800,104,502,584,800,503,501,931,500,649,501,500,503,502,282,502,649,502,649,649,501,939,503,630,500,649,800,500,649,502,504,800,16,594,800,16,501,502,800,502,502,282,501,500,500,503,800,800,504,103,800,501,800,502,503,500,503,500,503,16,649,500,649,502,800,800,502,649,503,800,503,501,282,321,400,501,16,500,800,500,800,649,649,501,502,503,649,50,282,504,16,501,502,500,500,513,500,500,503,800,501,800,649,906,501,501,800,501,502,282,500,500,502,282,800,649,638,800,503,503,500,500,16,800,501,500,500,503,649,500,501,501,502,502,649,24,649,501,502,502,800,649,503,503,501,800,503,282,503,107,895,502,503,503,504,500,649,800,501,649,282,500,501,500,800,389,800,800,146,501,649,800,500,500,857,501,198,800,500,502,501,800,500,503,880,502,649,649,502,649,730,800,501,649,503,800,501,501,649,16,800,393,504,965,502,216,500,649,501,500,500,807,501,800,282,596,133,501,282,906,265,649,500,501,649,502,282,501,500,16,800,502,800,500,502,503,503,16,500,502,502,500,502,503,500,501,504,649,649,800,800,500,502,289,649,500,365,247,503,16,389,500,649,107,503,502,800,649,800,649,503,800,501,649,500,800,502,649,503,502,103,863,500,503,502,282,932,856,649,502,649,649,502,800,503,800,800,269,503,500,501,282,105,503,8,502,545,500,501,649,502,500,501,649,800,800,800,800,282,501,183,502,886,127,503,500,800,502,504,500,503,502,502,503,282,687,502,282,504,800,500,800,362,502,656,282,649,800,502,502,107,649,503,503,649,500,282,500,282,282,800,649,500,649,740,502,649,882,649,503,800,500,500,649,649,503,501,501,16,16,649,282,649,503,502,649,502,141,649,503,500,192,282,16,503,503,800,501,500,501,672,62,500,501,649,962,16,649,103,820,503,503,502,500,94,500,503,502,800,501,649,502,501,282,503,504,501,501,909,727,502,502,504,500,345,197,649,649,800,355,16,502,282,500,500,16,503,649,649,503,501,282,504,502,649,502,501,500,800,501,500,103,504,501,501,501,502,501,649,503,503,500,501,649,282,649,649,500,501,501,692,503,500,61,16,16,134,501,16,500,649,502,503,503,502,503,800,502,500,503,501,501,501,800,501,282,500,800,800,500,500,501,935,282,282,729,502,682,800,502,800,16,502,501,746,503,502,500,649,186,103,502,800,502,249,504,649,500,649,503,501,282,503,800,649,500,800,503,282,501,800,800,500,503,800,502,502,875,500,649,282,804,500,502,502,16,800,87,282,504,500,649,894,800,648,282,649,16,800,501,107,502,501,500,107,503,800,189,500,425,800,501,800,282,649,503,501,800,800,501,502,800,800,503,504,500,791,500,282,502,800,282,800,503,501,649,501,501,501,500,500,504,24,649,502,629,502,945,649,500,501,817,282,503,308,502,800,649,503,500,649,503,502,467,434,501,649,800,503,282,108,271,501,807,502,504,504,649,500,649,500,929,501,501,532,502,16,649,649,800,502,503,649,503,282,649,63,503,502,16,920,500,500,502,800,501,800,800,649,502,16,500,502,500,42,502,501,500,800,800,282,16,282,502,800,503,282,383,502,501,501,501,500,500,666,50,503,800,503,503,502,282,501,501,502,282,649,800,504,503,800,500,609,503,115,800,502,800,504,282,649,503,748,282,649,502,503,501,282,282,502,502,282,501,500,107,800,503,503,800,831,800,705,502,501,500,649,500,502,649,16,585,502,502,503,479,649,930,503,501,503,503,501,500,649,839,800,503,502,502,800,503,649,282,800,234,503,800,46,800,649,739,500,501,501,599,503,89,649,649,800,282,500,502,253,500,379,503,800,503,501,649,502,649,501,649,800,502,800,501,500,800,500,502,503,500,696,503,308,503,503,503,726,503,129,303,282,800,282,500,649,502,500,800,534,950,503,266,503,16,282,745,450,800,503,800,500,649,649,800,502,500,800,872,649,500,167,501,502,500,500,500,500,282,282,103,501,348,800,983,16,501,800,807,800,800,500,502,504,502,500,500,938,502,502,649,800,829,500,800,649,800,501,502,112,500,282,282,501,507,521,501,94,649,107,502,501,500,649,800,16,985,503,351,122,282,503,323,800,502,649,649,503,583,500,514,935,504,282,501,834,501,502,103,501,501,800,503,282,501,649,800,503,502,501,503,152,800,501,500,800,54,500,474,501,500,500,649,103,501,500,501,16,500,502,649,500,503,500,502,722,501,649,503,800,649,803,500,304,16,167,501,502,649,500,501,501,649,21,500,502,800,502,649,501,649,503,502,649,309,503,800,800,500,500,649,503,649,800,501,23,282,800,503,282,649,800,282,16,501,800,800,502,502,501,503,500,502,501,502,503,500,649,649,506,501,594,502,550,649,500,282,501,504,282,503,500,502,808,500,502,501,500,502,282,500,282,503,501,649,649,282,800,501,16,502,500,649,282,800,502,16,501,503,731,501,16,502,503,800,503,282,501,503,649,502,282,502,501,649,502,500,500,800,800,649,500,503,107,503,800,502,282,649,503,16,800,800,454,800,800,500,800,580,800,500,501,437,282,500,649,504,269,502,500,800,502,649,800,502,800,503,501,16,502,649,800,649,501,500,503,500,800,503,800,282,500,741,16,500,503,503,708,503,500,502,543,503,800,511,800,649,503,583,500,800,282,500,504,800,16,503,649,500,501,968,503,800,16,939,500,107,504,16,503,582,649,500,649,500,800,649,688,661,663,503,503,503,282,500,649,800,503,503,649,503,503,502,501,525,500,998,501,375,282,501,16,503,503,501,502,500,247,501,649,85,501,282,800,501,501,800,500,282,800,16,800,501,500,649,502,501,282,282,649,800,800,502,501,503,504,800,503,117,503,800,282,500,733,800,705,500,800,501,660,502,282,435,800,800,282,503,501,16,65,503,282,502,421,502,649,184,501,751,502,501,501,501,504,16,504,800,500,16,649,500,649,501,503,800,503,282,503,501,504,503,791,503,500,107,649,800,502,132,800,504,501,800,121,502,502,800,500,500,503,16,500,503,502,500,11,504,649,649,501,282,501,649,154,16,503,282,502,502,800,501,503,978,684,500,502,502,282,500,16,502,107,307,503,500,501,649,502,649,502,500,139,502,16,424,800,18,500,503,815,665,800,502,932,800,502,521,503,503,502,800,501,500,800,282,905,503,800,282,282,500,800,883,396,240,500,501,649,503,501,500,838,282,892,503,501,501,501,800,500,282,800,25,649,218,502,632,501,800,282,627,649,649,649,503,500,501,502,649,649,503,282,503,504,502,501,502,282,705,282,800,503,649,501,103,649,649,500,51,800,502,800,54,16,502,800,800,502,800,502,501,602,282,282,282,454,299,800,500,800,502,938,282,502,500,501,504,503,500,800,500,502,503,107,800,503,800,502,502,751,16,800,502,501,500,282,503,16,500,502,500,501,501,727,649,282,282,502,501,502,139,603,503,649,971,649,422,140,500,800,649,800,649,500,502,503,504,502,501,501,649,501,504,844,502,16,282,500,107,503,502,282,500,29,501,800,502,504,502,800,649,504,896,282,282,500,819,136,171,500,649,502,649,800,90,400,16,800,502,282,501,500,52,501,501,503,800,800,500,882,282,798,501,16,502,585,649,649,720,503,502,800,500,649,800,503,800,501,361,502,500,649,503,500,649,800,649,503,502,249,745,649,501,501,555,649,503,649,800,78,502,886,800,282,649,649,819,649,501,649,503,504,503,502,649,800,353,503,649,502,649,649,501,800,800,503,107,503,649,500,800,316,500,800,800,501,678,489,502,500,282,500,800,800,800,500,282,502,151,800,500,16,503,649,502,503,502,501,649,503,500,282,500,502,649,282,763,22,649,500,282,16,502,503,914,502,649,501,282,501,501,502,501,800,988,800,503,500,500,503,502,502,800,500,501,649,649,501,282,502,501,649,503,500,476,800,502,500,929,282,501,502,103,800,282,814,502,282,503,649,503,927,201,502,16,503,579,649,282,502,934,282,503,500,503,502,500,649,501,502,800,800,500,649,481,428,800,282,649,500,502,800,649,251,800,502,503,16,800,500,501,503,502,800,103,800,502,500,500,282,502,800,501,503,503,649,282,377,800,502,16,501,504,501,503,800,502,500,503,800,800,502,649,107,649,500,282,800,503,800,502,500,800,16,500,503,500,500,502,649,800,282,503,504,504,504,503,649,800,800,501,502,649,500,503,890,16,500,503,500,800,433,800,282,502,502,502,649,107,649,649,800,502,501,282,501,503,16,282,503,501,649,611,503,649,503,800,649,503,16,107,282,107,502,502,501,502,800,503,500,608,282,204,282,131,502,501,282,649,965,502,503,649,501,502,503,503,501,500,500,649,800,501,800,500,501,502,501,649,500,500,503,16,502,501,16,282,504,649,503,502,649,800,503,500,959,501,612,503,503,649,503,800,501,503,452,282,503,501,16,435,500,504,282,699,502,503,317,500,248,501,503,502,503,649,800,502,83,282,339,501,800,501,705,501,418,501,867,502,500,829,500,500,503,501,134,16,503,502,844,500,500,800,501,501,500,282,502,502,500,501,500,405,16,500,282,649,649,503,501,785,423,649,145,800,72,614,800,502,282,501,501,800,649,800,800,503,800,800,504,800,16,503,800,504,502,914,800,107,502,16,502,880,282,649,502,501,580,800,649,800,649,504,502,500,501,502,800,649,502,800,282,36,500,800,579,800,502,542,800,282,649,107,282,500,103,502,503,800,500,503,503,800,500,501,500,501,501,500,502,503,500,500,501,501,649,502,500,502,800,502,502,501,503,282,553,501,504,72,649,800,800,16,282,500,282,7,649,649,967,127,500,504,503,800,282,137,649,634,613,139,282,503,282,43,503,282,502,502,800,503,500,649,501,16,500,501,503,501,800,649,503,501,800,502,800,114,649,800,501,503,800,927,501,500,282,503,502,500,500,500,990,500,500,959,282,503,379,649,800,282,798,501,500,503,236,501,500,16,282,800,502,501,501,501,649,847,800,649,500,502,501,501,800,502,502,503,800,501,800,800,857,503,501,500,16,501,503,807,800,502,705,800,503,501,501,503,800,503,886,504,361,282,500,501,503,503,500,503,502,500,502,501,900,649,10,501,649,800,16,503,649,500,502,282,501,503,800,800,282,501,660,501,502,503,649,501,504,107,927,503,500,111,800,967,649,500,500,503,503,501,643,503,501,649,800,503,500,501,500,503,800,500,800,502,395,649,649,649,649,800,800,503,500,502,503,282,649,649,503,649,16,649,107,501,800,649,649,649,502,649,649,800,282,585,649,787,501,800,502,500,800,649,800,501,800,627,649,282,500,503,800,502,503,503,501,800,800,501,503,800,503,447,503,503,502,800,500,649,500,500,649,502,800,503,800,502,911,503,502,500,502,800,282,800,502,500,462,649,800,649,500,501,500,501,503,800,800,730,577,212,649,503,649,502,502,150,503,649,649,649,502,896,502,649,503,800,282,800,132,500,500,282,501,16,107,503,649,503,503,500,367,502,282,649,504,282,501,501,503,103,421,500,503,979,816,500,207,16,800,649,500,2,502,234,502,103,503,500,639,500,649,502,502,969,502,502,503,422,502,502,503,282,107,502,501,502,16,649,502,503,503,649,623,501,500,800,500,800,500,502,800,500,501,500,649,502,502,800,500,649,501,697,282,503,649,618,282,705,587,501,501,649,502,105,649,709,500,800,800,503,502,563,502,503,800,16,649,502,503,500,282,502,502,800,503,500,500,649,501,251,500,103,501,502,649,649,501,503,500,649,800,16,502,502,107,800,503,503,502,503,671,503,16,16,502,649,747,16,278,350,503,502,501,503,501,501,503,16,501,500,649,649,540,501,800,502,649,800,587,502,800,502,896,800,500,500,16,501,905,502,649,502,677,649,282,779,282,503,282,800,566,800,500,282,800,500,573,800,501,501,501,503,501,705,531,500,649,501,503,649,500,502,502,502,500,503,503,501,502,500,649,800,502,503,500,503,502,501,503,501,503,501,775,501,502,503,800,649,282,16,502,800,649,501,16,404,502,649,322,503,500,16,649,502,282,107,649,800,501,504,503,649,502,500,649,500,504,500,503,800,800,502,500,503,800,501,501,502,500,800,800,502,649,649,800,503,57,261,242,503,16,800,502,504,649,800,500,800,649,502,502,502,649,500,649,502,419,502,500,282,500,501,502,502,282,649,649,499,503,282,501,282,659,503,503,503,649,160,501,800,800,503,500,500,502,707,649,710,16,649,800,800,282,800,502,503,286,649,502,501,649,16,800,445,282,567,649,16,503,649,500,282,500,649,502,500,282,282,500,800,501,315,16,503,649,500,435,649,502,282,800,501,649,502,507,500,649,503,503,856,501,16,278,16,503,503,833,502,501,500,501,500,503,503,502,502,800,500,503,501,502,343,502,649,503,502,502,800,649,800,649,502,16,500,649,501,502,16,502,501,800,649,500,649,282,501,800,501,504,500,503,500,504,503,800,800,504,500,649,649,501,649,500,800,501,502,503,500,503,500,649,800,500,503,649,800,501,500,501,800,800,500,800,502,502,503,649,800,649,145,283,502,649,559,501,500,800,282,503,501,649,501,501,705,500,501,282,649,649,6,649,502,500,500,649,649,25,504,800,382,649,501,503,502,502,649,502,503,503,503,500,503,500,501,503,800,169,502,107,649,503,800,502,649,502,16,500,502,107,649,800,558,440,396,501,282,500,501,500,800,503,500,503,800,649,500,501,883,503,800,282,282,649,503,885,282,501,501,502,649,502,503,649,70,500,503,439,501,307,503,500,500,342,649,502,500,282,282,282,581,501,800,500,916,501,501,500,500,503,502,501,373,649,649,649,501,501,800,649,501,800,107,502,16,332,503,503,107,500,503,500,500,502,649,503,500,502,649,500,650,473,502,16,504,800,886,196,501,502,501,800,416,947,800,800,800,500,500,503,649,858,800,500,649,800,800,282,500,501,502,501,503,503,421,800,501,800,503,282,800,501,242,282,235,649,981,500,222,528,500,503,16,649,501,282,649,741,800,500,502,501,801,500,501,933,268,502,800,845,649,649,500,503,431,800,649,800,503,431,502,286,649,800,125,282,649,501,501,800,649,502,800,503,501,503,282,282,502,800,16,282,800,502,649,282,800,503,503,501,847,538,800,501,811,18,195,649,501,800,501,502,649,282,649,777,503,500,436,282,155,649,800,668,503,282,501,501,501,342,649,595,919,649,800,502,500,800,191,503,500,649,502,501,501,800,477,107,800,502,500,503,649,290,503,463,282,800,503,502,501,16,501,500,501,800,502,649,500,959,503,664,282,502,800,501,503,503,282,501,501,800,500,846,503,501,282,502,813,502,502,502,500,502,800,16,408,800,502,504,503,500,649,649,501,500,547,282,16,500,800,502,800,500,501,282,502,503,800,800,30,800,649,500,502,503,649,968,649,16,500,649,503,920,503,500,107,502,282,500,500,282,282,501,416,552,500,501,501,16,649,504,335,501,503,501,501,500,501,502,325,900,442,501,500,429,282,800,288,116,502,502,649,649,800,282,950,501,662,500,500,649,501,502,503,503,503,501,502,500,501,649,282,16,503,501,500,503,649,502,649,282,504,501,314,501,503,282,282,504,649,800,503,501,342,107,501,503,503,16,500,649,800,501,800,800,282,501,315,800,133,800,502,16,649,380,271,503,800,501,800,800,468,282,500,503,504,500,800,500,501,282,282,649,502,800,649,503,649,282,800,503,800,502,501,16,503,500,503,282,649,500,501,503,649,133,649,503,500,500,140,501,502,16,282,282,800,503,503,503,500,500,500,502,800,502,800,500,503,501,501,503,247,503,501,502,502,503,926,649,800,500,503,16,503,800,282,649,503,501,800,649,501,800,503,800,500,649,16,498,16,500,608,503,16,503,500,502,282,233,500,502,16,513,252,500,500,800,503,105,503,502,503,503,800,501,282,800,282,103,800,800,16,500,502,503,282,503,238,800,502,649,282,771,649,500,502,501,800,800,649,282,649,503,500,501,16,502,1,504,503,503,502,502,501,649,649,103,85,800,634,501,500,16,500,504,501,800,800,503,800,502,590,502,912,502,501,282,502,500,501,502,800,500,649,500,501,927,502,800,649,800,500,649,502,502,995,800,38,501,649,649,107,991,501,500,504,16,137,501,649,800,800,649,503,282,800,503,68,659,503,649,243,800,800,524,39,503,500,503,501,16,500,282,811,500,800,16,500,500,800,504,500,501,500,502,500,500,318,502,500,503,502,59,501,500,502,800,501,500,103,504,503,107,503,503,504,503,800,800,897,282,500,649,501,649,800,800,492,500,649,501,500,649,501,503,800,649,503,562,649,649,282,800,504,500,501,500,500,500,504,337,503,800,282,107,502,501,503,503,16,500,800,817,501,503,910,282,73,503,92,501,800,800,504,666,502,282,501,279,503,649,501,503,649,501,502,504,16,47,800,502,800,502,800,107,490,501,501,502,501,649,502,658,500,800,282,806,501,500,500,504,502,649,800,503,500,504,800,500,282,501,501,501,502,501,502,800,649,649,581,471,649,865,501,501,502,649,482,649,501,500,206,502,800,800,501,502,502,649,800,500,107,502,716,502,503,800,649,649,107,500,500,501,503,503,282,501,501,502,947,503,500,501,649,501,951,991,649,500,502,500,501,503,998,800,649,282,282,503,282,500,501,401,503,501,503,649,800,800,800,500,582,502,649,649,502,800,503,500,649,531,85,649,503,649,800,805,412,800,800,501,501,800,501,282,500,502,800,504,500,501,107,503,500,500,500,649,500,400,502,501,649,500,500,649,501,800,800,501,501,800,103,649,504,500,800,501,649,502,800,501,800,501,136,501,500,16,455,282,16,649,800,282,503,502,501,504,800,282,800,500,503,239,800,476,156,503,649,503,16,800,282,649,649,16,503,503,649,503,800,500,500,501,322,502,502,501,502,500,282,501,500,502,502,500,503,502,649,431,503,649,500,771,500,501,107,500,737,865,69,504,800,501,503,500,503,800,282,193,649,501,583,800,649,282,800,957,972,800,766,985,688,282,715,16,500,500,282,501,800,349,500,500,500,502,649,423,502,800,501,501,50,501,503,500,502,800,649,649,501,501,649,503,649,500,500,282,375,504,503,126,502,501,649,169,500,800,16,649,649,503,503,709,502,501,800,502,22,16,282,800,502,502,502,377,800,16,501,502,503,800,800,502,500,649,502,282,470,501,68,503,503,802,501,503,649,502,502,800,504,501,503,649,282,500,501,800,501,800,16,800,649,500,502,500,800,800,502,800,16,503,502,649,501,503,501,500,501,500,800,800,649,503,502,502,502,500,16,799,800,800,649,649,282,501,500,800,100,704,502,502,649,503,451,502,800,501,500,503,500,649,800,12,282,649,502,504,501,800,671,800,504,627,197,103,304,501,502,94,800,282,500,503,500,649,501,503,500,141,800,800,884,107,501,667,649,502,649,649,649,502,282,500,470,282,253,502,503,282,503,800,502,503,282,503,13,503,800,649,800,503,800,448,649,500,502,503,501,586,315,800,503,800,24,705,501,504,800,282,800,807,649,535,282,800,16,696,800,808,649,502,800,502,800,500,500,502,502,503,500,374,800,800,2,649,649,649,800,282,800,649,501,282,649,502,502,503,503,649,503,282,500,337,884,501,502,282,649,501,502,800,503,501,502,503,503,649,501,649,500,649,800,500,503,501,800,800,649,800,501,501,502,502,500,502,800,282,596,800,500,800,649,649,800,502,503,503,649,503,501,501,649,501,502,282,800,800,503,501,800,127,501,503,800,649,800,501,502,191,282,501,282,800,800,649,800,503,500,502,386,502,501,500,502,647,503,649,583,501,800,203,756,800,502,64,500,503,649,503,503,502,501,800,800,649,500,503,501,503,980,649,503,500,501,501,500,800,374,593,501,500,965,502,503,611,503,500,282,800,501,379,500,502,800,503,500,503,503,282,502,947,649,502,434,800,502,501,500,800,501,500,649,260,284,800,502,500,502,501,502,649,502,502,948,503,800,800,800,501,800,500,800,649,649,649,649,16,501,500,500,502,107,502,501,503,649,976,503,800,504,649,923,503,800,282,282,649,569,282,503,282,501,501,501,501,500,503,501,739,500,501,501,103,501,505,503,800,500,800,649,501,503,800,100,501,273,282,282,800,987,800,503,502,45,800,282,500,16,501,500,501,500,502,800,500,800,500,502,649,800,649,500,800,502,503,500,501,800,800,800,800,16,282,649,503,500,800,500,800,503,906,103,501,501,800,501,501,503,501,800,649,503,649,649,501,501,29,199,649,400,649,500,501,16,282,31,649,500,649,503,502,800,800,408,502,800,649,502,502,800,501,649,502,282,500,707,502,502,649,649,501,800,503,800,503,649,649,16,202,800,649,501,800,503,649,662,503,16,501,800,411,649,800,502,500,500,800,56,502,833,503,649,502,501,503,503,98,503,16,218,800,502,369,800,503,800,500,500,16,800,501,353,502,503,502,327,503,800,503,649,501,501,502,107,503,649,800,503,800,243,503,504,402,500,482,662,500,708,501,502,502,568,503,800,502,501,649,503,800,501,501,500,502,649,323,502,282,501,501,502,503,760,800,380,476,503,502,800,502,649,16,800,869,566,500,500,504,500,501,503,978,705,503,502,501,282,16,503,282,501,649,800,800,501,705,800,502,664,501,707,500,501,103,502,501,501,503,800,649,800,800,502,503,503,133,282,500,501,502,500,500,16,554,502,503,503,119,501,649,501,937,500,503,504,800,500,649,800,504,416,800,649,800,16,502,732,16,282,800,235,503,501,13,121,282,503,502,503,500,800,501,282,502,649,800,800,502,503,989,649,504,585,500,800,402,504,282,16,500,501,500,78,501,501,705,503,502,282,500,16,649,175,502,500,748,103,282,500,500,800,800,16,103,649,504,501,500,500,500,501,649,800,649,800,800,503,629,282,503,502,502,501,500,800,500,649,800,503,502,800,800,501,501,503,501,503,800,500,501,502,501,649,649,502,712,649,501,799,504,502,501,282,500,503,649,500,649,800,503,696,649,502,502,502,170,86,479,83,217,501,463,441,800,500,500,838,649,699,503,503,282,800,750,91,503,800,503,867,800,503,502,116,500,800,500,800,800,800,501,501,503,500,501,649,649,800,282,500,649,503,649,125,503,502,16,500,649,282,502,282,503,502,500,503,799,503,37,16,504,649,500,800,282,282,649,282,919,282,501,501,502,500,67,649,707,501,502,563,501,497,500,502,800,500,502,649,800,800,501,500,501,500,500,500,657,502,800,282,541,504,502,502,603,282,800,800,570,649,16,16,282,282,282,502,800,500,503,800,502,502,500,500,503,500,107,501,282,561,800,501,649,631,503,282,501,649,501,803,649,502,472,800,649,501,339,800,500,649,502,500,800,800,503,502,503,500,705,501,536,502,502,800,500,649,934,501,503,503,503,856,555,502,503,649,501,649,107,500,282,500,649,807,501,503,500,501,502,800,503,649,55,950,282,503,800,800,503,500,502,503,500,649,503,649,103,502,649,501,500,800,502,500,649,501,502,501,503,649,503,500,502,282,501,907,500,502,593,500,503,500,502,502,282,800,500,501,282,500,282,649,659,501,500,500,800,501,501,800,502,500,649,800,501,800,800,502,16,800,800,719,107,649,961,502,85,500,800,501,649,800,501,504,649,725,503,649,502,503,500,282,500,103,503,376,502,500,208,790,501,501,800,912,503,800,503,649,800,649,500,500,583,800,800,466,502,503,676,502,501,57,502,502,470,503,501,561,800,503,800,501,503,500,502,500,501,282,502,649,503,649,732,800,282,16,501,800,503,501,649,649,649,502,502,500,503,501,502,502,503,282,503,500,295,747,500,503,649,503,502,133,500,800,344,501,503,23,282,503,502,500,800,502,502,151,503,501,649,282,500,500,501,504,800,630,800,282,800,502,649,649,800,502,500,649,282,649,502,503,330,502,501,800,676,502,649,503,649,504,800,504,504,282,502,501,503,466,501,503,245,800,500,16,800,800,282,502,649,502,282,800,800,282,503,150,503,649,649,501,501,282,800,103,800,500,503,26,503,154,500,501,800,503,800,503,195,501,800,503,800,487,502,504,445,649,503,502,282,503,707,501,16,500,649,500,501,502,501,500,502,800,503,800,367,16,500,16,502,500,282,501,16,503,503,500,502,578,437,500,800,500,343,800,940,500,501,500,649,500,241,501,800,502,501,282,500,282,502,649,502,649,501,282,502,501,649,800,939,501,649,649,800,502,501,557,800,503,800,504,649,649,503,502,282,503,649,800,649,503,105,649,656,502,503,635,649,282,800,503,103,500,649,847,501,501,303,751,800,501,500,500,649,923,649,502,800,488,282,501,282,800,503,502,502,501,649,500,503,502,503,503,800,282,503,800,503,500,503,503,282,412,500,673,343,837,800,502,503,501,899,500,502,800,502,502,649,800,502,705,504,503,800,649,907,649,649,502,16,501,502,503,504,800,503,107,649,382,800,503,800,649,500,800,599,649,502,649,800,800,503,501,800,500,205,501,649,503,67,500,503,502,649,800,800,649,800,502,282,282,649,800,977,501,500,706,282,649,649,501,120,502,107,649,501,178,501,502,800,501,502,649,500,503,649,502,503,501,500,502,16,500,800,800,503,504,16,502,503,649,649,503,649,501,800,800,501,502,940,501,501,503,282,501,503,16,503,501,503,649,500,502,210,800,282,800,501,800,502,282,501,40,502,500,500,501,800,649,282,502,500,800,500,282,312,500,705,800,282,501,652,800,501,502,500,800,793,777,502,115,500,800,800,502,649,43,501,500,501,500,502,500,503,503,500,649,8,800,800,156,502,649,807,649,800,16,282,649,244,649,501,500,503,800,649,649,800,501,502,503,500,206,16,264,649,501,503,217,459,503,500,584,924,282,502,800,44,800,800,500,501,615,649,858,501,500,502,500,800,800,500,282,501,16,800,501,282,16,649,500,649,502,503,649,502,502,331,500,649,107,800,800,503,228,500,800,800,800,500,649,500,500,501,502,500,504,503,649,501,501,649,800,282,800,503,500,16,502,503,501,16,800,500,501,42,502,282,605,501,282,282,501,16,482,501,649,282,800,649,502,649,649,282,502,503,501,501,282,501,502,108,686,500,500,16,649,503,103,503,501,430,800,500,503,502,501,502,649,800,501,502,649,282,502,649,501,502,649,282,16,649,501,503,15,501,800,503,502,478,649,800,500,500,800,502,998,649,16,800,282,649,778,107,203,800,435,800,800,502,282,800,800,16,649,501,800,800,500,504,500,501,500,502,282,649,502,800,504,649,649,501,504,502,500,542,596,501,500,282,836,502,103,282,778,649,503,700,502,501,500,934,649,800,502,934,282,282,800,414,500,649,649,502,503,502,800,502,753,282,649,362,501,500,649,649,144,500,501,800,503,501,501,16,500,892,500,503,29,62,800,16,503,501,502,500,800,282,96,503,649,282,649,800,501,501,501,502,16,649,500,702,502,501,993,649,672,800,649,503,500,502,503,503,282,501,649,501,800,502,503,503,282,800,503,500,729,501,705,800,282,649,43,503,649,192,500,500,504,649,649,800,501,500,504,649,501,16,502,502,503,501,503,503,500,502,800,800,504,407,501,478,16,503,502,800,649,80,502,800,16,800,282,502,501,502,504,649,501,92,990,501,326,501,649,649,503,800,282,503,501,500,629,282,649,800,502,541,403,527,740,649,800,282,649,500,800,503,500,282,800,500,861,649,500,649,649,500,503,800,282,501,282,502,16,649,503,584,503,503,503,884,16,800,502,282,501,649,649,502,500,500,800,482,976,500,502,649,649,500,649,502,954,800,504,649,950,502,16,800,649,503,800,502,282,982,502,282,500,100,501,500,649,501,503,500,136,501,282,500,500,501,500,800,649,501,97,503,800,503,282,388,501,649,282,503,800,503,800,800,503,503,800,500,503,649,771,649,282,503,282,386,502,866,282,503,503,501,500,800,800,502,16,500,107,503,649,649,649,800,649,503,503,649,800,501,502,649,501,800,649,800,649,501,504,501,503,500,800,500,16,503,103,502,282,800,673,800,500,649,503,282,490,501,649,649,649,502,649,503,282,16,179,502,502,649,282,800,649,501,501,649,503,501,503,800,500,282,16,501,16,500,282,312,800,501,649,503,649,502,502,503,649,500,800,649,107,503,117,426,502,500,800,649,501,502,649,16,503,500,501,276,500,649,16,649,282,500,103,282,800,800,649,649,800,800,10,503,500,800,800,504,649,502,502,282,501,503,282,502,649,500,103,642,371,502,297,501,500,649,282,502,713,501,649,503,503,209,649,503,501,502,502,502,800,649,502,500,282,503,600,503,501,353,501,16,502,649,503,504,503,501,500,502,460,501,503,502,501,501,481,502,649,649,503,500,649,800,501,800,800,500,649,282,500,500,503,500,502,103,509,69,501,649,500,13,500,502,500,282,503,500,103,503,925,800,501,502,501,500,500,649,502,500,649,800,649,649,800,500,504,282,501,16,528,800,500,502,800,502,649,500,501,500,800,503,502,282,502,502,110,800,503,800,503,282,649,800,501,500,503,800,502,501,282,503,649,800,800,503,500,503,649,501,501,649,503,282,502,503,501,649,962,500,502,649,500,147,649,800,223,502,500,503,501,649,503,800,503,503,69,382,503,16,649,800,649,800,800,134,502,500,649,649,800,16,627,504,16,74,500,501,803,504,228,649,16,501,501,800,502,500,107,502,502,504,800,282,500,455,800,502,226,649,596,25,16,800,501,502,649,73,500,503,501,649,501,502,16,500,500,500,500,215,500,503,502,502,502,800,649,649,501,500,777,649,800,603,800,781,503,649,501,503,501,502,500,16,705,282,500,502,16,500,500,649,649,502,800,800,965,501,649,800,500,649,649,649,649,649,16,502,800,649,503,500,501,16,503,503,503,502,502,800,800,502,502,503,500,500,649,800,649,649,501,978,501,502,649,649,800,502,883,501,501,501,649,501,800,501,471,502,480,500,649,649,502,16,503,500,501,903,502,649,503,501,441,503,649,501,649,800,922,693,649,800,500,649,501,800,649,502,649,16,502,501,800,503,664,500,171,649,282,500,800,800,234,800,502,16,800,16,502,503,16,282,457,501,503,997,619,649,503,649,282,800,649,503,503,501,500,649,501,800,282,649,800,478,16,766,800,503,501,500,282,800,502,282,502,282,502,282,501,502,800,490,649,501,500,415,501,501,500,503,503,504,500,500,800,501,503,800,649,503,346,649,502,936,501,649,502,602,649,44,503,800,500,16,501,504,800,500,503,16,177,501,797,419,501,649,501,503,282,503,502,501,500,649,16,282,500,16,500,282,501,502,501,500,888,500,500,501,503,500,502,502,282,503,16,502,501,649,502,282,807,180,598,500,16,442,649,500,501,971,800,800,26,503,282,282,502,649,502,504,501,16,649,649,649,500,503,800,649,16,800,501,502,500,282,502,500,649,501,502,426,504,501,503,502,503,502,107,503,503,290,545,240,502,501,649,20,282,213,342,500,503,282,649,649,649,649,649,649,502,501,649,243,715,502,649,502,852,252,649,503,501,649,501,935,502,649,649,272,501,500,800,800,762,103,649,500,800,502,649,16,649,800,503,282,649,649,649,502,27,649,649,65,500,649,800,500,107,502,503,500,649,500,649,800,504,282,503,500,649,500,649,800,500,503,502,500,103,502,649,503,500,525,165,282,503,502,16,502,800,544,649,282,800,649,649,504,500,504,500,502,649,500,800,800,503,503,503,282,502,503,800,407,500,282,282,502,649,649,67,800,500,503,649,282,800,926,501,502,500,503,502,233,800,503,501,502,282,747,649,282,800,503,282,500,504,800,503,501,503,800,503,800,502,649,502,503,800,800,649,353,500,502,148,649,197,501,503,503,503,800,501,500,502,501,952,96,501,800,501,503,502,410,800,427,502,800,503,477,501,501,446,800,501,800,649,135,800,649,800,500,501,502,503,501,800,501,503,649,660,503,502,16,282,503,500,649,500,501,649,800,900,649,282,800,502,501,504,649,501,800,502,223,649,501,501,500,270,969,970,800,742,423,800,800,500,800,44,649,501,500,649,501,780,504,649,800,501,649,501,282,502,503,16,16,649,500,501,16,499,500,16,501,503,504,503,503,205,500,503,729,503,500,500,649,503,500,726,308,800,649,502,501,502,500,502,502,800,502,500,500,936,501,800,500,800,504,800,800,500,500,475,649,649,503,800,800,502,501,500,800,282,501,380,649,503,800,800,800,800,649,502,500,130,16,800,501,500,500,504,649,502,502,800,282,500,800,800,282,503,800,649,503,16,649,282,701,500,800,282,500,649,800,282,502,500,502,500,282,503,502,500,649,500,504,503,502,911,800,385,502,812,501,807,649,502,503,649,282,500,501,500,650,502,282,284,502,502,16,282,800,500,659,501,592,504,500,107,649,649,16,800,71,500,502,362,500,501,501,649,649,800,282,243,649,503,649,649,800,800,649,800,503,649,282,538,282,501,588,501,649,501,16,503,503,800,501,500,502,418,649,800,800,526,501,282,496,649,308,800,649,649,649,16,501,502,501,16,500,503,501,503,255,339,501,800,649,501,500,500,502,500,282,803,502,501,503,649,800,503,649,503,800,800,502,649,500,501,649,16,503,500,649,500,503,649,800,631,503,800,501,649,503,502,282,16,649,147,501,649,16,789,503,501,500,603,500,502,501,501,800,705,501,503,597,500,503,800,800,500,16,649,800,503,16,649,649,503,282,701,800,503,800,649,503,983,649,500,503,100,503,649,282,503,500,500,649,800,500,649,282,503,282,501,500,501,504,502,501,215,662,500,500,502,800,503,800,500,504,735,649,502,503,282,503,502,649,742,972,282,502,282,800,503,282,503,800,85,503,501,282,502,16,502,282,504,500,503,502,800,466,503,504,649,503,502,16,500,649,502,800,282,500,252,649,16,672,501,800,500,705,282,649,649,501,603,649,503,649,502,501,503,800,800,503,503,501,649,546,501,501,502,501,800,649,649,503,649,649,649,501,282,502,104,500,502,502,503,649,299,502,203,502,502,800,282,501,502,649,502,503,500,24,857,649,501,503,500,501,501,502,103,800,501,649,800,503,500,500,500,282,800,800,568,282,258,649,504,501,502,501,282,500,500,800,16,282,501,77,502,501,427,500,800,501,649,77,266,800,502,651,649,500,818,500,501,36,503,649,501,503,502,800,501,503,501,503,502,500,649,503,649,504,800,500,649,556,649,500,800,503,504,502,800,502,503,503,649,649,501,502,503,500,493,829,649,500,316,419,501,282,503,282,502,800,800,503,649,502,501,503,649,502,800,501,831,501,501,502,282,649,649,282,503,504,502,800,800,959,800,282,500,229,800,502,303,800,500,16,649,800,500,503,501,649,503,800,500,800,500,800,502,800,500,500,500,800,502,502,501,502,202,503,140,502,503,502,503,270,500,502,502,649,800,501,502,500,501,282,282,504,503,502,282,800,282,502,503,298,649,501,649,282,800,800,800,502,501,649,282,16,502,500,800,538,315,500,503,800,500,501,649,501,469,800,800,282,502,717,423,503,649,282,502,502,649,800,924,283,501,282,282,501,501,649,202,503,748,503,649,503,500,502,502,502,502,316,502,649,502,500,501,649,649,649,282,282,504,649,16,649,132,502,800,501,649,769,824,500,502,50,503,776,500,503,503,502,649,649,790,502,506,649,800,503,282,800,800,503,282,649,502,818,672,501,500,16,800,649,165,813,501,502,501,282,649,503,511,194,282,800,649,800,917,501,762,282,800,800,502,649,501,282,500,800,501,295,502,500,503,501,649,800,800,503,500,748,502,502,890,800,282,504,282,282,500,649,502,503,502,500,503,800,504,248,16,887,360,107,653,239,573,502,244,16,649,502,503,504,500,705,503,500,800,500,500,282,502,502,800,649,500,503,503,800,604,800,504,312,500,649,501,989,649,649,649,502,636,573,649,503,501,500,503,501,649,500,282,501,282,502,649,800,800,167,503,503,502,282,649,504,500,500,503,649,503,649,501,838,649,500,800,649,501,649,305,598,282,502,160,502,649,503,503,800,503,75,503,500,107,966,502,16,500,502,503,502,502,649,800,800,503,502,501,500,500,503,649,503,800,800,503,501,501,500,649,800,503,800,800,423,282,800,501,800,501,649,502,500,500,501,500,800,502,282,503,500,502,501,502,16,501,800,800,282,649,649,649,623,503,501,503,502,503,502,503,502,506,82,404,503,282,501,649,460,501,949,649,501,240,501,501,800,649,502,706,649,502,800,800,503,805,744,503,649,501,501,800,502,502,501,800,649,649,22,477,949,649,107,503,999,977,500,502,502,800,501,500,501,504,685,502,502,501,502,502,16,503,501,500,503,501,501,503,649,16,502,502,649,494,800,649,500,800,502,500,282,843,800,800,947,800,502,16,502,500,222,500,500,503,649,500,500,503,890,502,502,500,503,502,800,501,649,649,282,191,501,502,500,16,500,500,286,501,282,649,649,501,502,501,649,800,500,16,800,282,503,649,118,716,800,526,41,501,503,501,649,649,282,800,800,501,130,649,649,501,800,739,16,500,503,812,502,16,649,502,503,502,500,501,649,800,500,500,282,503,649,16,282,146,503,503,503,501,800,500,649,501,500,107,282,503,649,500,649,494,649,790,503,282,800,800,410,502,503,800,649,503,282,502,500,649,649,729,500,503,800,800,501,800,501,649,649,282,800,800,962,500,503,500,282,501,502,500,147,501,501,502,282,503,800,266,800,756,501,16,800,537,503,649,500,800,501,770,800,502,16,282,549,500,502,800,649,501,800,282,281,739,586,500,800,502,282,282,500,503,502,165,501,117,649,874,500,649,501,728,702,800,103,500,500,500,800,649,402,503,503,620,503,503,800,502,503,501,976,500,502,800,502,501,500,963,500,649,500,649,282,649,282,502,282,649,500,800,501,502,649,967,500,938,909,282,548,502,502,800,16,800,649,16,800,570,649,800,788,503,16,282,503,649,501,503,500,800,500,966,649,107,238,210,649,503,800,500,501,649,503,503,649,800,649,733,618,800,502,504,504,502,730,502,502,501,878,495,503,502,502,501,503,107,502,745,504,502,504,500,800,282,501,282,501,504,502,500,500,800,504,501,649,504,504,800,501,502,500,649,16,502,824,501,544,107,503,649,502,501,800,502,502,649,649,502,504,649,282,500,500,500,800,282,800,500,800,502,503,502,502,501,502,649,366,503,331,649,501,502,649,16,500,800,501,800,503,649,502,800,956,800,431,282,503,501,649,16,500,501,800,800,502,534,282,501,16,500,502,649,503,800,649,503,16,500,649,502,87,800,503,501,502,277,501,502,500,516,502,282,726,502,500,501,504,800,500,800,503,501,649,756,800,504,800,107,800,500,383,649,649,667,502,502,649,16,501,800,502,503,500,503,501,886,501,500,282,503,800,502,502,649,800,800,16,800,649,800,503,800,649,800,800,501,107,800,800,501,928,501,807,503,16,500,500,800,649,649,502,502,800,501,502,828,649,282,501,282,16,282,62,503,282,502,800,500,800,882,587,288,503,503,16,732,282,279,59,500,816,502,95,503,16,503,800,503,800,504,649,500,501,649,503,282,649,501,16,727,800,501,282,649,783,649,502,500,502,503,502,500,16,501,503,501,500,16,502,502,503,504,800,800,503,501,504,519,282,272,500,282,649,503,503,502,502,500,800,500,503,503,800,501,500,501,800,503,3,649,501,500,500,649,370,503,246,500,501,245,597,502,730,502,800,500,503,501,800,501,500,502,503,503,649,504,16,282,649,502,800,503,282,1,721,503,16,16,502,800,282,649,502,649,501,500,757,800,649,800,500,649,504,500,800,503,800,649,830,500,503,501,503,501,16,504,800,649,501,649,501,611,502,502,282,74,500,500,800,502,800,282,500,500,500,800,282,800,503,442,502,501,501,502,800,649,500,504,503,649,899,503,502,242,16,640,282,892,680,502,503,500,502,800,800,504,649,649,649,800,502,501,502,500,649,502,649,502,501,862,282,503,503,282,800,649,502,492,502,16,502,503,16,649,503,649,727,800,285,501,500,502,501,501,649,800,649,282,503,128,502,282,649,501,649,649,282,797,800,324,503,443,502,502,319,500,800,16,649,502,649,800,392,500,800,500,649,500,649,482,800,649,503,16,500,502,166,500,282,800,502,399,649,503,282,503,206,501,503,585,501,502,649,649,503,502,649,500,649,16,107,282,503,503,514,649,504,501,840,649,503,282,502,894,362,800,649,800,800,504,800,282,500,501,385,800,800,502,800,501,649,649,800,502,107,800,649,501,501,504,649,504,500,107,503,800,503,800,501,16,503,780,503,501,649,887,649,115,649,98,500,500,501,425,503,649,800,465,500,501,500,503,500,649,502,649,500,500,503,513,800,503,503,503,282,485,800,501,502,16,649,688,502,232,501,502,502,502,796,649,502,314,800,951,16,800,649,16,501,502,649,800,502,503,800,282,34,501,504,282,649,649,501,103,501,503,640,502,649,649,863,800,800,502,501,500,475,501,502,503,4,500,502,649,800,800,503,501,502,800,282,502,800,800,522,500,500,282,800,502,800,107,649,800,500,501,500,649,501,256,800,790,282,800,282,500,502,224,800,772,501,649,503,649,674,16,649,501,962,282,501,800,503,504,16,649,503,649,649,503,501,282,215,503,503,800,800,649,502,501,500,652,649,500,502,800,502,800,502,501,503,502,649,500,500,500,282,502,649,501,501,500,500,202,282,800,501,500,649,503,800,649,649,800,500,649,649,502,649,16,674,500,500,500,282,501,500,501,800,502,649,503,503,501,282,500,361,502,800,649,501,501,649,503,800,500,504,504,503,502,502,501,501,500,502,800,649,502,878,894,502,282,502,282,649,282,449,502,502,800,500,358,426,800,504,649,503,16,649,649,503,649,502,431,191,501,501,800,502,500,502,800,649,503,861,502,800,500,658,282,502,649,500,502,503,503,649,674,500,282,502,500,502,800,501,501,500,649,500,105,223,503,282,502,16,500,501,501,500,502,354,649,500,501,649,800,800,282,649,800,16,502,500,649,503,649,457,500,502,282,503,501,800,16,500,282,501,16,282,649,649,16,107,502,500,501,405,649,504,500,501,501,488,12,503,800,502,282,500,649,649,48,508,502,500,800,649,282,649,478,649,502,504,500,649,800,800,800,800,841,502,741,501,282,502,649,502,282,501,107,282,500,16,16,502,800,103,16,91,800,501,282,800,962,800,800,502,503,502,503,502,282,977,500,501,501,502,16,502,503,649,282,504,501,502,501,649,501,503,714,800,501,501,800,501,501,800,503,500,649,500,500,502,500,501,16,649,503,800,501,282,500,649,500,503,500,503,800,881,800,501,800,502,282,502,282,502,282,1,502,800,503,501,502,500,502,220,282,503,649,800,649,800,107,500,502,502,500,649,800,502,649,502,501,800,502,36,501,500,649,500,833,282,503,500,16,16,282,282,500,800,500,501,501,109,649,800,501,16,501,282,500,504,800,500,500,502,500,501,501,800,502,107,872,500,502,800,502,6,500,800,503,500,501,500,501,649,649,445,503,805,502,282,634,673,800,282,800,169,282,800,857,649,800,501,900,282,503,503,500,228,78,649,503,501,413,501,503,800,501,501,649,30,282,502,649,649,800,89,503,800,501,503,502,282,502,503,502,16,502,800,282,503,503,800,649,726,502,649,649,282,503,503,502,502,503,500,500,649,649,502,500,800,501,503,501,708,502,841,503,500,649,260,502,500,500,282,649,800,500,800,103,503,800,500,282,503,501,502,8,649,282,881,500,800,649,16,502,116,649,501,503,501,800,649,649,503,501,282,500,500,501,500,649,503,500,501,503,16,502,502,649,103,16,282,649,282,500,807,515,500,502,503,500,501,502,800,282,503,501,102,502,649,649,500,503,800,501,649,800,501,503,638,800,503,16,720,649,501,502,649,800,282,16,800,500,503,649,800,800,649,649,438,290,137,649,501,502,917,800,200,282,649,502,991,282,107,501,500,502,503,502,501,800,500,502,500,800,502,502,800,501,504,800,503,16,649,800,502,282,16,500,800,649,502,501,800,649,800,680,800,721,800,649,376,501,501,501,800,635,800,649,503,800,649,504,800,501,282,800,502,649,800,500,282,800,503,501,800,502,282,501,500,800,502,884,800,503,502,500,504,500,500,800,800,800,501,502,649,501,501,502,800,501,502,501,500,501,649,501,502,800,502,16,800,503,907,500,503,800,500,649,282,800,504,860,649,502,504,503,503,500,500,649,502,502,501,501,107,800,503,500,282,649,502,52,504,282,800,501,502,501,502,501,800,800,282,649,500,800,649,282,800,500,501,503,504,502,649,591,503,800,503,800,800,6,649,800,800,504,558,800,800,504,705,582,421,503,502,800,800,504,503,502,282,503,649,649,502,502,503,422,649,500,282,649,800,800,503,47,502,800,500,502,649,649,161,777,800,501,800,282,800,502,800,427,500,800,501,502,503,503,501,502,16,306,500,541,502,800,502,282,800,500,500,103,649,800,282,385,16,800,503,568,502,282,500,501,800,800,649,800,282,500,16,649,502,800,502,649,500,501,501,350,282,502,500,501,503,500,282,551,502,107,500,282,51,500,839,503,503,500,649,501,502,355,501,800,501,501,16,800,503,502,502,502,649,502,805,501,502,38,501,501,800,800,649,502,503,501,649,504,282,649,501,17,677,282,282,500,502,500,500,282,503,126,502,503,502,781,502,503,501,502,649,504,649,500,501,286,649,500,500,440,501,502,501,800,503,751,502,282,500,500,502,500,649,800,507,282,790,16,285,501,800,500,502,800,503,94,649,501,500,800,501,972,157,503,282,502,503,649,502,649,649,503,502,501,503,503,501,500,874,204,502,502,649,503,501,500,97,16,500,501,649,800,800,502,649,502,649,500,16,800,502,502,607,500,567,500,501,800,501,501,501,500,800,649,503,800,503,502,48,503,649,501,282,800,500,282,75,800,501,649,503,501,800,501,503,800,503,800,282,503,800,502,502,649,501,649,282,357,501,502,471,503,987,649,800,502,68,800,502,503,16,501,501,649,502,852,503,800,225,500,500,585,504,800,501,649,502,702,501,800,271,800,501,282,819,16,282,502,12,504,800,500,501,503,403,503,800,282,800,501,653,649,16,503,228,800,500,649,103,500,500,800,502,306,288,107,502,502,649,16,982,499,111,800,500,649,500,282,649,503,500,649,500,500,502,800,501,502,503,503,503,501,500,649,800,502,502,502,500,503,501,580,503,501,503,649,503,501,472,502,282,785,501,800,649,649,800,502,282,649,503,500,502,504,282,500,503,503,501,477,502,501,481,500,800,282,503,282,649,649,501,503,503,649,502,501,501,649,501,503,501,649,503,500,503,503,800,502,501,503,16,107,649,679,800,282,449,649,282,503,102,282,649,502,500,502,4,398,500,800,649,502,503,502,800,649,548,649,501,501,649,502,16,815,282,500,501,16,503,800,103,800,800,800,502,501,501,503,800,501,744,504,503,501,455,800,503,282,502,500,16,502,503,473,500,503,649,649,891,501,282,282,501,649,800,107,501,800,501,503,800,705,502,503,501,649,16,800,800,800,501,502,800,282,502,504,854,292,649,501,800,502,501,502,46,500,649,16,503,73,501,800,502,503,539,463,800,492,501,649,504,502,502,500,16,503,503,16,500,251,800,800,504,649,3,503,649,649,501,282,456,502,503,107,500,649,504,500,16,501,502,649,800,282,503,282,282,649,800,800,502,502,503,500,503,500,649,649,395,800,16,500,800,503,282,502,668,503,503,500,800,500,502,649,502,500,503,501,649,800,502,500,658,503,500,503,503,502,502,500,103,964,502,282,500,552,649,502,501,501,502,376,502,800,728,501,501,500,503,769,501,649,559,502,649,500,500,800,649,501,502,800,503,649,503,502,500,800,649,501,601,503,500,800,649,503,282,501,500,501,649,649,282,809,669,502,500,500,501,500,500,500,501,500,503,503,649,971,282,501,500,500,500,800,503,502,282,649,502,800,162,800,800,800,500,502,501,501,800,503,27,275,800,503,502,502,504,282,16,649,504,107,500,107,500,800,800,282,649,501,503,501,862,502,800,503,503,649,95,503,501,502,503,800,503,501,800,116,800,502,282,500,649,502,49,107,501,649,501,800,501,500,502,649,610,500,500,16,501,501,503,504,271,503,500,800,800,649,649,107,501,502,500,649,171,503,503,502,501,800,500,500,311,649,649,16,800,501,503,502,16,282,501,800,501,500,500,800,649,282,649,500,107,16,504,800,503,893,502,500,502,501,500,592,502,503,454,389,649,649,800,502,502,800,501,503,501,295,504,657,85,103,503,16,501,502,282,500,800,501,503,502,500,501,503,800,338,800,503,649,649,502,800,501,596,800,501,282,649,649,107,501,738,502,800,39,649,502,500,500,502,649,95,502,649,800,500,575,503,502,501,502,503,800,501,649,282,500,503,151,501,800,800,503,610,282,16,787,500,502,649,500,501,503,282,955,649,500,649,500,800,501,449,501,649,786,388,760,381,502,502,500,16,502,167,282,686,503,503,501,649,649,16,649,527,500,800,503,705,800,502,500,800,501,502,800,503,503,800,501,649,649,500,503,502,501,800,800,502,907,800,332,16,649,557,840,639,35,503,501,502,500,674,503,500,501,500,501,649,500,800,493,503,282,500,846,107,368,282,800,503,502,500,649,500,500,503,502,503,500,282,500,282,922,649,500,504,649,503,800,500,500,800,500,503,649,501,503,16,228,503,503,936,500,503,314,502,503,503,503,503,501,501,501,800,841,500,500,282,270,800,800,649,503,502,470,800,501,502,500,500,800,502,500,501,282,501,445,500,501,800,504,16,977,460,649,500,800,649,502,649,800,503,649,503,103,503,503,501,649,800,16,501,926,282,501,800,500,800,503,800,503,649,282,502,502,649,501,415,501,649,502,282,103,649,541,649,500,649,649,649,503,649,103,800,503,103,503,800,649,505,282,649,502,500,755,500,800,502,569,800,253,800,282,379,503,501,282,2,25,766,800,649,296,649,501,282,502,16,502,282,649,500,800,649,800,503,282,649,502,504,282,500,501,503,502,758,800,501,649,16,800,857,502,14,502,618,501,502,502,500,503,16,649,500,502,782,807,800,206,500,921,282,649,500,502,503,503,619,980,800,2,649,981,800,500,56,649,800,16,503,847,282,16,649,500,503,16,16,501,503,800,800,501,502,649,800,503,501,502,503,649,282,800,503,282,501,16,383,501,501,91,800,649,800,501,500,649,800,282,503,503,503,800,503,503,107,649,501,503,65,501,649,42,149,800,503,800,503,649,800,800,502,500,800,503,502,649,649,649,502,800,501,503,500,800,501,501,649,502,649,744,573,500,546,282,282,107,503,800,501,502,501,503,881,90,500,500,501,420,800,362,800,282,282,669,649,500,649,501,649,542,800,502,649,800,986,501,502,649,91,502,649,649,501,501,800,501,107,500,282,502,503,500,500,363,282,472,502,386,649,503,16,16,500,500,800,502,800,503,649,282,282,500,500,282,292,255,800,649,800,501,500,649,502,503,500,503,503,502,800,16,502,16,16,282,503,500,282,16,503,853,282,16,16,312,500,183,282,800,649,502,502,501,800,500,503,800,503,502,649,800,282,501,502,500,800,800,501,503,16,800,500,282,503,282,649,800,282,800,504,649,500,500,501,649,800,650,500,503,502,502,649,103,649,649,500,282,16,501,501,649,649,500,503,649,649,501,649,502,483,501,503,501,282,265,649,500,502,465,649,16,500,502,500,649,500,649,501,502,502,780,800,500,500,501,502,500,282,502,503,504,87,501,500,649,151,800,282,502,500,985,282,502,209,501,796,503,503,649,107,503,800,502,291,282,503,802,501,649,394,502,503,503,649,503,500,501,503,649,16,800,368,502,282,501,649,800,500,282,649,420,503,649,649,430,502,642,800,502,503,502,911,832,649,800,16,503,649,504,872,503,348,503,107,649,501,502,631,800,501,500,502,282,502,502,16,16,649,800,649,94,862,503,500,800,374,501,501,501,503,800,649,194,649,193,282,501,503,638,503,649,282,985,800,952,500,502,501,800,503,103,676,282,282,502,800,800,501,502,800,500,16,800,503,501,800,800,649,649,644,282,649,502,500,800,983,724,663,503,16,502,503,500,282,504,649,800,500,500,500,503,500,772,501,501,282,800,107,501,503,632,16,501,503,800,649,500,844,649,502,503,649,501,501,800,500,282,649,649,503,471,800,501,58,500,500,16,500,500,649,502,649,502,800,501,649,800,501,502,502,282,282,503,501,649,649,502,503,649,392,16,501,117,502,501,800,501,502,502,501,649,500,503,500,501,222,288,503,502,503,649,500,503,800,649,649,503,282,502,502,502,649,504,503,500,501,800,501,800,500,500,501,800,502,503,501,502,501,501,501,800,500,282,649,502,705,800,501,502,501,766,503,800,502,502,801,16,500,503,282,722,800,503,503,103,500,503,500,501,800,502,800,443,501,773,501,565,16,800,502,501,503,500,500,503,222,502,107,503,503,503,500,503,775,800,501,501,502,800,282,649,800,800,500,649,500,501,502,503,502,502,800,800,103,649,282,282,971,500,800,503,500,500,504,503,500,370,501,500,773,834,649,501,800,502,502,500,968,800,16,649,800,503,503,501,501,784,649,669,503,500,502,502,800,501,348,944,503,649,107,502,16,649,504,675,800,87,800,501,800,649,55,500,16,503,503,298,502,880,503,503,502,649,649,649,500,504,503,500,503,649,502,649,500,971,501,502,502,503,649,502,502,502,649,282,16,800,16,282,754,649,502,649,502,501,502,503,800,649,501,502,649,501,282,500,502,500,649,282,282,103,800,800,290,649,500,502,678,800,107,500,503,500,371,504,649,502,282,800,502,612,710,649,500,502,500,500,501,346,649,649,504,501,282,501,915,503,16,611,282,728,502,502,800,319,649,800,503,501,501,502,282,649,16,800,500,482,282,123,501,969,500,484,649,282,501,501,502,503,800,899,500,501,800,704,503,244,16,800,248,501,500,503,166,800,502,800,503,503,500,800,501,500,502,503,501,500,39,502,501,16,500,931,503,845,800,649,800,461,503,800,800,502,16,501,502,500,502,501,501,503,500,502,16,501,503,502,649,503,501,500,800,649,503,649,649,512,649,501,141,578,800,500,503,503,649,503,107,500,282,500,800,501,504,502,220,828,282,502,894,503,503,502,500,500,107,501,500,16,800,282,649,501,502,649,282,800,649,649,141,16,800,503,282,503,16,733,502,16,503,649,500,504,532,282,502,503,500,282,502,282,282,503,800,503,502,192,800,800,282,501,800,501,800,501,800,800,282,503,502,503,800,500,502,501,12,649,649,500,501,800,503,849,502,502,500,500,502,502,940,501,501,482,500,502,501,502,107,503,500,282,800,503,503,501,800,562,800,282,800,503,774,800,282,501,503,500,649,503,503,502,800,501,107,502,800,503,501,282,282,500,502,282,502,502,504,503,649,500,503,156,874,504,500,11,346,800,800,649,503,649,282,502,502,25,282,501,503,503,501,649,800,736,103,502,649,503,503,649,500,500,500,649,107,501,103,800,503,107,274,800,282,282,500,503,501,649,800,501,500,676,503,800,800,503,800,282,649,500,501,500,502,16,245,649,503,503,282,16,473,649,649,800,649,501,500,103,502,500,500,503,502,649,500,500,16,500,500,114,649,649,500,800,649,501,500,649,107,501,500,501,500,500,501,800,500,502,649,285,501,500,704,501,613,502,800,503,800,19,800,282,500,282,503,502,800,500,502,800,288,502,16,502,800,800,502,502,502,850,282,800,501,800,5,649,282,16,502,503,649,500,649,800,503,504,500,800,649,800,800,649,503,501,503,500,502,501,500,503,282,811,800,649,501,800,198,503,502,502,503,501,800,649,103,503,503,503,501,500,649,501,282,16,501,500,501,501,503,503,800,649,783,800,502,800,365,215,500,528,503,500,800,282,502,777,500,502,503,282,649,502,649,107,500,282,502,501,502,504,16,502,178,500,502,800,649,800,500,501,503,649,980,502,501,502,800,649,649,903,800,16,502,800,649,649,649,528,959,903,649,504,500,491,501,500,774,504,503,503,501,501,503,502,800,502,502,800,828,500,503,800,908,649,503,502,649,649,501,502,501,649,500,800,502,649,137,503,185,649,649,500,103,503,503,800,282,800,502,351,501,21,800,504,714,32,502,502,649,282,503,503,185,282,649,436,502,502,282,501,502,649,649,503,800,649,503,502,500,107,282,800,501,500,649,649,800,649,503,501,248,501,500,282,649,502,503,503,502,800,282,500,649,16,502,502,502,16,189,503,282,500,501,503,995,282,502,501,503,649,501,501,502,502,504,503,649,685,502,504,502,922,615,501,16,800,501,501,500,501,16,503,282,503,501,800,501,743,502,503,800,649,479,710,282,649,758,800,780,800,282,503,282,800,649,500,70,103,16,502,502,502,306,71,502,282,649,649,500,800,684,502,800,836,223,649,501,649,501,502,501,501,501,800,800,502,500,800,800,39,800,501,800,501,800,282,500,501,649,542,501,16,16,503,650,503,767,863,697,503,800,845,503,282,800,500,500,436,705,501,800,800,503,649,503,503,502,649,500,500,282,316,501,503,16,501,16,501,649,649,502,282,502,649,649,800,800,800,800,16,500,501,800,502,16,501,502,500,502,282,649,667,501,462,649,501,672,501,800,501,800,502,502,16,36,800,649,332,649,695,503,16,500,502,503,800,683,503,503,649,296,503,282,503,282,800,800,649,800,500,501,500,649,800,502,62,282,649,502,282,503,649,500,501,502,503,501,503,800,800,394,800,800,649,503,504,282,649,501,502,367,502,501,649,282,955,649,500,649,282,500,800,501,649,503,501,500,502,282,503,16,800,107,502,501,282,649,99,546,649,503,501,282,579,501,502,282,500,502,282,800,404,107,282,769,502,502,500,500,501,649,500,649,503,503,649,503,501,649,503,503,705,800,501,800,500,457,765,501,500,502,502,390,649,800,800,793,503,500,800,800,502,500,800,502,800,501,609,501,502,800,800,500,502,503,800,503,500,229,503,501,501,800,501,501,649,800,16,800,503,502,150,501,500,501,649,500,503,500,915,500,500,800,503,500,649,500,282,649,291,501,717,500,503,500,800,282,800,500,503,503,502,444,503,500,502,500,103,503,504,294,502,502,282,501,503,503,500,502,503,503,501,501,501,282,800,500,501,800,501,649,649,501,503,649,502,502,649,501,649,282,501,501,501,649,649,16,501,800,502,282,502,502,800,503,500,282,502,501,503,800,649,501,107,649,649,501,501,500,504,649,16,800,501,649,800,282,501,503,500,501,16,107,800,282,534,502,503,504,503,800,280,503,501,853,500,800,382,503,502,649,502,500,502,800,649,649,800,503,807,16,501,282,282,501,503,474,649,502,421,501,502,16,503,649,503,500,800,502,500,756,500,649,501,282,16,502,500,649,501,502,503,501,500,16,282,503,81,502,554,800,649,500,501,649,16,500,858,282,501,500,503,563,649,503,502,649,169,649,504,501,500,503,210,649,47,800,502,296,502,500,800,501,502,500,282,282,501,649,502,500,649,503,503,501,800,501,503,503,501,649,501,501,502,503,500,962,800,16,649,500,500,649,503,649,282,502,800,500,502,282,500,649,649,502,199,502,800,502,103,501,501,503,503,649,364,800,503,500,501,503,800,502,673,648,800,282,501,503,800,107,282,800,800,800,502,503,482,500,502,500,502,500,649,502,336,502,604,500,424,503,800,503,16,501,800,500,239,500,502,800,16,501,282,800,649,649,177,501,502,649,502,501,649,800,252,502,500,40,16,503,502,980,568,649,501,500,502,520,649,504,502,502,282,649,115,800,500,649,504,800,503,501,282,649,992,649,282,502,649,503,649,800,16,501,649,649,800,503,702,501,502,503,501,282,996,500,377,800,502,500,835,800,502,500,501,800,800,501,649,230,501,500,649,503,500,500,501,159,502,503,501,705,502,500,242,500,800,800,501,502,502,503,800,649,501,503,504,833,877,503,500,500,500,649,800,800,800,502,501,16,275,800,500,502,649,501,800,502,501,501,500,502,502,502,537,500,194,500,649,503,501,501,673,649,800,282,800,807,504,503,649,887,501,500,649,503,503,500,282,649,502,500,503,501,500,649,103,501,800,502,503,800,649,282,500,503,800,282,503,502,310,500,649,800,500,502,124,501,649,649,309,282,16,501,501,502,800,503,502,282,502,649,795,800,503,503,841,500,503,282,513,503,16,501,502,800,502,282,503,503,800,800,500,57,502,16,800,107,503,500,649,798,502,649,649,800,501,503,282,500,500,502,282,800,800,503,282,503,500,500,501,282,501,649,503,502,503,501,502,501,126,800,649,501,501,649,503,800,800,649,500,649,566,503,390,800,649,503,500,649,649,649,606,503,504,649,124,501,16,501,649,500,879,722,501,649,537,16,421,800,500,502,615,502,503,800,500,501,800,282,501,282,503,502,649,503,649,800,502,282,649,502,800,16,282,712,503,500,800,159,502,649,649,503,502,501,800,502,649,503,501,520,854,800,800,500,226,503,500,500,500,800,502,502,649,501,32,649,503,649,502,800,649,282,800,500,503,502,327,503,502,502,800,800,377,931,501,502,527,107,502,501,807,501,16,649,503,649,501,282,951,282,800,502,502,501,502,503,501,934,501,649,282,800,649,649,800,183,21,800,649,503,227,800,16,463,502,503,138,501,503,503,282,800,503,800,282,649,501,649,649,502,501,282,502,502,282,167,502,500,570,501,703,649,501,501,501,501,502,503,502,282,649,800,649,500,800,502,501,800,426,282,503,500,103,502,502,500,800,502,501,500,503,649,649,502,649,16,800,502,501,649,649,861,282,500,649,16,501,501,501,800,503,936,800,503,503,502,16,501,502,500,501,500,502,649,502,649,649,502,16,800,503,501,503,502,502,649,800,282,501,503,502,649,501,400,500,649,501,800,502,282,127,501,502,501,649,292,501,501,502,16,500,501,503,107,336,649,783,800,16,800,800,502,503,500,502,649,483,501,503,501,649,649,503,282,800,800,10,502,502,500,501,649,686,503,282,501,16,503,756,501,16,649,503,800,500,715,503,501,500,503,500,502,500,649,282,649,501,501,649,465,503,501,501,107,501,500,503,503,800,500,503,649,471,800,501,500,501,503,501,500,649,323,800,649,502,500,282,406,504,500,500,503,502,501,103,501,649,16,649,282,501,107,500,103,282,203,649,502,500,800,503,649,649,649,502,800,800,282,16,502,500,466,500,503,403,705,502,500,800,649,500,103,501,500,800,484,649,503,282,649,167,800,500,501,260,502,800,282,282,964,282,4,504,800,16,901,501,649,501,500,501,502,501,504,503,649,800,800,502,502,800,587,649,500,501,502,502,500,500,649,500,183,649,649,501,381,502,103,501,282,649,610,501,500,502,855,800,16,502,649,649,500,520,649,282,215,795,649,649,649,503,282,501,503,500,107,503,56,502,500,500,649,500,282,501,16,800,443,501,515,502,501,649,649,649,501,800,800,503,502,649,503,649,503,211,501,282,800,503,503,649,501,755,202,762,503,670,501,500,500,800,503,500,649,501,800,282,649,501,852,502,262,503,800,800,503,186,800,800,649,500,762,503,502,649,502,428,503,502,649,502,800,649,500,500,649,282,501,683,378,649,964,282,503,503,294,800,501,291,500,649,800,500,649,800,500,500,502,500,800,502,282,800,282,502,800,501,282,503,807,649,792,649,502,649,649,855,501,500,504,107,503,800,649,282,659,282,536,282,649,282,831,107,16,16,421,502,501,500,734,502,89,500,282,568,520,502,502,649,501,500,502,502,282,501,649,800,800,502,503,502,103,649,987,649,282,282,282,14,16,503,829,504,282,500,502,502,500,502,16,502,503,107,146,501,502,500,800,86,698,649,500,800,906,800,502,649,503,502,502,502,500,500,500,504,282,503,649,370,800,501,122,503,503,800,800,16,649,800,500,502,800,706,501,502,107,501,502,502,282,502,649,282,502,649,500,649,282,649,500,503,503,501,501,500,503,800,16,800,251,800,501,503,800,16,16,501,502,504,501,800,502,501,800,800,800,500,649,16,940,501,502,501,649,500,501,16,501,800,800,501,503,500,503,501,500,502,504,520,501,859,500,501,456,651,503,800,649,500,796,800,800,502,282,16,649,502,800,649,502,501,500,504,800,16,530,800,649,282,502,460,551,856,488,649,500,282,282,503,800,649,502,800,502,502,500,198,282,501,503,500,682,16,366,800,502,501,501,501,800,504,800,500,237,503,800,500,502,893,501,503,649,475,800,502,800,800,649,800,800,649,502,649,502,800,800,800,649,282,501,501,742,16,282,800,500,986,500,500,800,503,649,503,744,502,103,502,27,501,800,500,800,503,501,800,503,501,501,107,500,100,649,500,503,16,502,768,649,504,649,32,800,649,502,504,663,501,16,500,364,502,649,500,246,503,221,501,504,16,500,800,800,800,503,502,282,649,502,503,800,500,649,800,502,502,501,772,504,282,839,502,649,649,800,103,707,503,500,501,500,500,282,649,23,503,503,649,191,800,501,649,877,504,503,282,649,466,282,800,502,107,503,502,271,502,649,800,282,500,591,282,500,500,800,282,502,501,503,649,501,501,503,800,502,503,502,500,503,649,501,500,500,501,501,16,502,800,503,282,649,361,501,501,500,282,504,501,649,695,502,501,800,503,247,649,503,537,503,651,500,685,502,500,649,503,649,502,502,800,500,16,501,282,503,502,649,337,503,822,800,501,500,503,490,503,282,282,649,502,649,282,500,502,502,501,854,501,649,649,503,649,503,502,503,501,649,800,503,502,649,500,282,500,501,500,649,502,649,500,649,503,649,16,500,800,800,501,16,503,649,382,649,502,503,680,501,501,800,500,501,800,282,501,16,502,800,500,127,500,500,500,800,501,500,800,503,500,501,800,649,800,917,502,272,504,503,502,800,502,649,504,649,649,502,800,502,282,800,16,503,16,501,500,800,503,159,282,500,501,503,503,500,500,501,800,501,502,649,655,500,502,502,800,649,502,503,502,649,502,649,502,282,503,501,630,504,649,800,649,502,800,800,282,500,501,649,500,16,649,503,500,649,649,16,502,649,501,500,501,282,500,649,722,502,500,550,800,500,655,500,501,649,800,319,500,266,807,501,502,500,800,503,504,503,504,502,502,243,501,800,649,502,504,649,649,501,282,649,295,500,392,500,800,800,505,649,959,800,501,500,191,327,800,800,16,559,300,502,800,282,504,500,503,502,502,800,502,649,649,16,504,500,649,555,282,494,502,800,501,500,500,649,577,649,649,282,500,649,503,605,502,503,501,501,504,649,282,649,282,501,282,501,503,933,27,619,501,282,502,501,131,504,282,800,800,705,16,877,800,282,649,771,649,501,800,649,501,504,898,649,16,500,500,16,503,500,327,585,282,16,800,500,639,499,649,477,503,861,500,501,502,800,503,500,800,800,910,504,800,156,800,502,502,503,502,501,500,16,649,59,282,503,800,500,649,502,800,501,501,503,649,502,16,502,800,502,282,800,387,800,649,649,501,402,425,649,282,503,831,800,282,800,221,502,503,275,800,500,654,282,501,503,357,502,282,502,649,800,649,282,16,501,502,746,16,501,245,16,649,503,503,587,500,500,501,809,502,649,503,637,500,282,16,800,649,500,503,502,500,500,502,500,501,800,800,649,501,649,16,504,269,800,280,843,649,502,500,920,383,800,501,500,856,800,500,501,503,16,649,200,502,282,948,259,500,800,500,441,228,503,649,503,337,800,500,282,649,282,879,800,502,649,503,282,16,593,800,16,500,705,800,800,501,649,501,503,501,800,500,503,107,16,633,649,502,92,503,501,503,501,502,502,649,800,503,501,649,70,503,417,503,502,751,328,500,500,352,502,800,503,282,800,282,500,282,500,502,88,502,500,649,434,282,282,668,500,502,191,800,507,501,800,503,800,502,282,501,103,502,503,800,500,501,502,504,504,800,305,504,501,503,800,502,501,649,500,503,16,500,501,500,503,649,500,501,107,503,800,502,84,501,417,649,500,107,326,502,288,16,500,800,502,282,500,217,800,800,501,501,501,649,502,500,501,282,502,282,502,649,501,502,800,503,649,500,501,503,16,649,500,502,502,649,649,649,800,502,503,500,500,500,926,649,500,503,688,282,282,503,501,233,502,282,649,503,502,799,501,502,501,649,502,649,503,107,500,503,504,111,649,500,502,503,503,649,502,213,500,500,502,460,107,800,800,402,501,501,502,16,282,503,501,800,495,500,503,647,800,800,282,500,649,16,800,502,800,502,501,649,501,800,500,16,282,503,800,502,504,800,503,502,649,649,800,503,649,500,800,282,800,282,16,800,500,501,107,501,500,501,502,501,503,502,570,500,503,800,800,800,800,800,649,500,503,707,282,282,103,800,500,503,501,800,649,260,282,800,500,501,649,282,502,501,503,800,282,649,502,502,500,649,500,503,500,503,500,558,500,503,548,649,501,649,504,403,148,500,500,649,800,800,500,501,800,282,649,504,502,502,282,503,500,800,103,800,503,522,33,502,800,800,649,649,503,502,500,502,500,502,500,629,501,107,501,500,800,16,502,800,502,500,191,797,649,800,16,199,649,800,649,502,502,649,503,649,500,290,504,502,500,649,800,649,502,503,800,500,282,800,503,500,800,649,800,800,500,503,16,800,337,649,79,501,970,649,623,502,649,502,203,502,800,502,694,649,503,16,502,800,800,502,502,800,800,501,502,800,502,503,649,398,501,649,501,500,16,748,800,501,503,282,649,501,502,649,800,649,503,649,502,800,940,501,501,282,282,649,502,500,800,800,800,282,504,282,649,649,501,503,503,282,649,154,649,800,649,649,503,503,502,649,433,501,800,502,16,503,502,501,16,16,800,501,502,112,282,503,16,503,649,455,502,503,502,649,649,800,503,501,112,800,503,500,680,503,502,649,737,503,500,500,502,503,158,800,503,649,282,502,649,282,502,501,800,282,649,501,503,649,501,649,500,588,705,501,503,500,503,282,800,649,502,500,107,500,90,504,988,807,414,251,501,500,503,500,503,649,500,282,800,501,990,196,649,282,282,800,501,500,502,503,501,502,501,500,255,800,800,482,649,933,649,800,503,500,502,502,500,503,16,502,800,501,500,502,502,649,649,281,282,800,800,500,649,57,16,944,500,504,800,282,500,502,432,295,649,503,367,503,500,649,16,800,502,800,502,649,800,502,16,649,501,501,501,649,453,500,503,503,501,16,504,282,503,502,920,649,503,502,649,502,282,649,100,649,800,501,502,282,282,800,282,103,282,501,503,649,503,443,503,800,501,338,501,282,500,649,800,500,503,282,604,649,500,800,500,501,649,500,500,959,503,500,503,501,501,503,282,649,500,503,107,649,800,503,503,649,500,800,502,503,455,282,503,800,649,502,443,500,501,731,16,500,800,500,649,107,282,282,500,500,501,967,502,504,500,501,800,282,282,500,501,649,502,649,502,503,501,649,649,500,649,649,800,503,501,649,503,800,800,501,649,500,502,503,989,649,800,501,501,282,501,503,649,500,500,503,500,932,503,501,123,502,500,504,259,282,501,649,503,649,503,501,649,501,501,502,503,500,649,500,16,500,503,979,282,800,649,649,800,500,227,501,16,282,16,501,800,501,512,501,800,954,282,649,649,649,336,800,723,501,960,800,500,282,716,501,500,107,502,16,282,800,800,502,705,649,501,502,500,800,513,649,701,649,502,502,502,503,751,16,500,502,16,503,501,649,800,501,107,824,664,168,500,800,282,501,503,501,503,504,282,800,282,502,502,501,500,503,649,503,938,503,500,35,501,1,104,649,500,500,501,501,502,502,502,502,500,504,500,500,92,282,536,574,362,501,12,503,502,502,107,800,501,44,501,649,503,649,503,503,800,937,501,649,800,502,800,501,649,649,574,502,503,282,503,502,503,355,503,500,800,649,501,500,502,503,649,502,282,502,502,501,939,649,501,501,800,503,500,501,502,800,800,501,649,501,503,800,282,502,503,500,224,332,500,502,503,501,501,500,649,649,502,500,649,525,800,502,500,16,649,309,100,501,16,502,25,800,502,800,800,800,16,261,500,282,282,282,282,282,800,503,221,16,649,500,500,800,503,501,699,501,500,976,500,500,282,16,282,717,501,504,937,500,282,502,502,800,800,501,503,501,282,500,656,500,808,500,819,500,800,16,800,500,502,501,649,503,765,649,800,502,800,503,800,501,649,649,800,800,800,282,215,649,500,501,503,503,503,649,501,800,503,500,649,708,503,945,502,800,800,800,649,138,107,500,800,500,649,800,733,502,502,503,286,502,649,500,501,501,503,502,785,500,306,503,16,649,819,502,800,500,500,649,649,500,501,501,736,501,103,282,57,500,649,649,503,800,16,502,500,649,800,504,501,282,503,214,800,649,649,649,500,501,282,503,745,16,501,566,503,43,800,502,649,800,502,649,503,800,966,800,744,16,500,649,500,503,500,501,501,264,500,135,501,649,503,649,503,501,282,649,502,502,501,649,503,501,282,502,800,502,503,282,800,643,503,504,502,452,13,649,503,649,800,600,587,501,282,503,500,282,282,649,502,282,502,649,800,502,85,800,282,800,503,503,501,502,800,282,16,800,502,800,649,215,502,215,501,16,502,838,649,569,501,809,800,502,503,501,800,503,503,501,649,501,502,16,107,502,282,503,649,807,800,649,16,800,282,501,500,503,502,503,800,503,649,503,649,502,503,981,282,502,282,500,502,649,500,501,501,649,503,800,502,649,501,16,649,501,501,503,500,502,106,16,501,282,800,502,502,503,800,501,503,649,649,800,501,282,501,800,502,500,649,800,516,501,503,501,800,502,800,800,500,649,399,500,500,800,791,105,503,501,800,649,800,800,503,501,503,800,16,800,502,502,501,16,501,596,501,800,504,501,501,800,758,504,492,800,502,500,735,649,500,736,800,503,800,282,800,501,16,282,502,406,500,500,502,500,649,385,201,839,800,107,503,103,502,800,502,649,766,107,501,649,501,502,502,891,500,800,501,676,503,649,800,983,800,500,500,501,475,500,500,649,800,503,800,649,502,502,500,502,622,501,503,502,282,501,199,503,500,523,707,16,907,649,649,503,502,501,502,164,800,503,504,501,500,502,800,503,502,800,501,649,649,107,649,800,318,282,502,649,282,502,500,502,500,501,800,500,282,16,502,502,649,800,503,132,502,800,649,502,282,649,333,807,504,502,220,503,649,800,107,503,500,502,502,800,800,503,16,282,503,649,502,132,503,800,16,504,800,799,800,503,500,275,649,649,698,501,236,502,353,503,721,800,501,282,500,746,800,502,16,503,800,282,503,235,501,800,893,649,502,502,503,502,800,971,381,661,649,502,502,16,500,503,800,501,910,503,500,502,501,503,800,503,800,503,501,800,649,485,501,501,296,501,503,282,800,800,501,501,649,244,992,282,501,501,800,501,503,500,784,500,649,502,501,501,500,502,501,500,282,649,501,502,282,500,501,504,503,365,282,649,500,800,282,649,502,314,502,503,503,649,649,502,800,282,502,800,649,137,16,649,800,500,502,500,800,503,282,413,502,502,503,800,503,500,503,502,282,282,16,503,501,501,502,800,503,503,282,501,909,503,500,649,502,649,649,107,649,649,502,16,800,502,502,282,649,500,800,503,500,649,800,502,501,800,649,282,500,424,502,500,649,501,649,103,502,800,503,502,800,800,502,462,503,500,503,500,501,500,504,800,501,500,501,500,649,800,503,504,649,500,800,501,649,274,500,502,502,197,501,649,563,543,500,649,503,282,282,500,500,500,657,503,502,282,500,500,649,184,627,16,503,501,500,282,503,800,800,503,503,503,51,649,502,501,800,402,502,282,699,474,800,502,559,649,510,649,649,649,502,800,502,503,800,503,282,502,503,500,502,503,503,649,503,800,141,649,282,500,649,503,649,503,800,846,649,649,500,503,800,649,649,923,503,649,800,127,649,509,503,500,501,169,717,500,500,800,800,504,919,500,282,282,282,649,649,503,800,503,800,800,914,501,500,800,649,282,502,501,500,501,500,357,501,503,501,557,800,501,504,501,501,501,503,503,503,74,501,975,286,501,732,502,502,800,849,528,39,502,501,800,107,497,503,503,500,500,503,503,504,649,502,501,282,502,502,649,800,800,605,800,502,282,501,73,834,501,649,282,504,282,603,422,800,836,501,503,547,107,649,851,282,121,649,503,502,282,800,282,500,500,500,649,503,326,649,502,282,500,770,800,800,800,501,649,756,800,503,503,695,500,501,657,800,800,500,503,649,501,501,533,649,649,602,354,401,501,500,502,500,502,500,649,502,501,282,282,503,800,800,500,16,649,501,800,501,800,502,649,503,820,282,17,502,501,503,757,649,800,649,282,502,282,537,649,500,649,502,75,282,649,649,800,16,779,649,800,501,500,503,501,502,500,501,613,500,999,503,502,502,800,800,501,503,501,503,800,800,500,502,503,503,500,500,800,503,138,500,500,500,502,503,500,282,107,503,502,502,503,649,503,500,500,282,282,800,502,800,649,649,168,800,500,502,503,503,501,649,662,649,282,503,649,500,503,649,502,502,282,107,649,501,503,342,649,16,503,800,503,56,503,502,649,500,504,501,16,800,16,501,502,502,500,649,501,501,800,800,800,103,501,503,649,640,282,649,500,649,501,790,110,502,649,649,800,503,209,339,649,780,649,503,800,502,649,501,500,500,983,503,502,705,500,392,282,502,500,500,502,502,954,649,503,649,282,500,503,90,503,800,500,561,503,649,666,649,501,503,649,800,501,107,501,591,800,282,504,502,504,501,500,800,501,500,503,501,503,501,649,503,282,502,500,800,800,500,615,503,649,103,800,800,504,800,503,524,649,649,16,649,502,503,649,502,649,503,500,501,525,157,800,282,238,100,500,502,500,501,649,800,649,107,800,504,800,501,502,282,503,500,800,802,502,745,16,503,800,501,503,501,649,503,502,103,502,502,282,691,649,503,649,800,800,502,503,500,16,503,282,500,107,881,501,742,503,649,800,282,502,500,649,282,649,800,566,649,16,800,501,502,503,740,501,500,897,503,502,502,800,501,502,501,16,500,800,649,501,479,501,501,500,503,501,800,522,16,502,502,503,649,501,341,503,502,800,502,500,972,158,500,501,649,600,800,16,501,703,500,503,649,500,649,800,502,103,501,501,282,800,504,501,649,502,800,496,649,103,16,800,504,504,500,503,501,800,502,282,500,502,501,282,503,502,103,649,649,649,500,649,800,503,16,502,503,502,420,800,649,500,800,364,649,282,286,500,282,800,16,800,500,533,649,800,503,800,22,800,674,800,501,503,649,16,501,553,345,500,705,649,649,752,501,503,800,234,500,800,649,502,501,649,500,720,502,649,501,500,649,16,282,282,501,501,500,800,501,649,502,800,503,971,503,502,729,500,500,502,466,502,500,590,502,502,501,696,503,548,501,649,502,649,502,503,503,500,500,649,467,282,282,766,502,596,502,800,282,649,501,501,649,16,60,500,800,500,502,800,649,282,944,649,282,500,502,649,649,800,282,502,501,800,502,282,503,502,800,649,649,502,800,570,503,500,501,500,503,502,501,800,649,554,501,503,282,501,282,502,16,501,500,503,800,502,500,800,502,649,107,649,800,502,500,282,649,282,502,502,503,502,502,502,501,282,800,501,282,501,502,500,502,649,649,503,649,525,282,649,649,503,502,649,936,502,800,501,501,503,282,800,463,503,501,500,501,649,730,346,501,502,501,501,501,500,649,501,502,964,800,500,800,503,501,503,649,500,649,502,649,16,503,800,503,503,649,500,140,282,649,500,500,500,500,500,649,502,800,501,503,503,649,282,503,502,501,502,502,500,502,501,500,649,800,500,501,500,502,649,503,503,503,504,649,785,103,282,649,649,649,503,75,16,649,503,800,649,16,33,282,862,503,107,800,800,149,501,503,282,800,498,502,502,114,503,649,500,503,371,649,800,503,501,16,503,747,649,500,501,282,503,649,503,649,501,500,649,464,500,503,501,500,649,503,800,501,500,502,503,502,503,500,502,501,649,500,282,500,503,16,500,529,282,800,800,800,83,32,502,503,500,485,501,282,501,439,503,503,649,503,501,500,504,503,282,503,526,503,800,502,501,501,502,49,800,502,502,500,500,998,282,502,16,800,107,500,795,503,282,502,649,282,503,500,103,500,907,399,282,502,503,500,800,501,587,282,649,500,282,503,363,800,800,282,800,500,384,282,500,649,599,800,503,501,282,800,501,500,60,502,502,747,500,502,649,481,502,823,649,112,503,282,282,605,16,398,501,571,502,503,282,503,500,502,789,151,107,800,500,503,503,16,988,762,890,282,649,501,503,501,649,726,800,503,500,649,502,112,664,649,800,16,502,503,501,502,501,503,800,500,501,501,649,503,800,800,129,501,502,800,503,315,649,500,649,503,504,957,800,800,282,500,500,501,807,502,503,500,800,500,422,504,800,501,649,800,282,800,122,503,502,282,282,800,500,500,502,535,501,501,502,503,501,500,887,500,649,503,802,502,800,282,649,503,649,503,500,579,649,500,501,800,501,502,501,448,649,800,504,800,500,103,500,308,800,502,800,503,649,268,501,435,282,502,800,502,500,503,800,649,501,503,800,336,649,501,800,502,504,800,503,503,503,454,649,502,800,502,282,800,813,409,282,800,649,649,800,501,649,800,800,649,246,269,800,500,800,501,500,502,282,16,282,649,430,282,500,800,503,800,649,502,649,503,501,649,501,500,649,164,352,649,500,502,254,649,500,649,705,668,16,500,500,502,800,501,467,503,500,282,548,837,800,282,501,503,502,500,503,649,501,800,800,687,503,145,282,500,977,649,16,521,614,16,800,502,501,649,503,800,800,501,800,500,500,282,800,502,500,282,503,502,649,500,649,500,503,503,800,503,874,981,635,800,504,502,282,503,16,501,501,649,800,500,439,405,649,16,500,800,502,501,500,502,502,502,16,502,503,649,503,800,152,800,503,800,500,649,282,500,503,502,500,649,503,800,649,503,649,107,500,503,725,798,503,503,649,16,282,16,502,107,800,545,282,649,800,502,503,107,959,282,501,504,502,800,503,500,282,500,120,501,500,500,501,501,282,502,649,502,502,649,649,500,500,649,282,649,501,502,282,500,800,282,502,800,800,16,501,502,800,502,178,501,800,502,800,503,800,800,500,503,649,800,503,503,282,946,282,501,501,503,502,504,282,566,503,839,500,649,501,501,501,835,649,649,800,501,800,240,501,757,504,502,504,502,800,649,500,16,36,503,500,800,64,649,282,649,503,501,984,963,800,503,503,800,500,502,282,649,649,800,504,800,282,503,823,502,649,800,649,649,503,800,800,649,800,503,649,103,502,501,503,113,649,503,500,649,282,945,502,502,501,210,487,502,16,16,503,800,800,500,282,502,282,500,502,501,282,501,649,649,928,800,503,800,502,800,503,204,800,503,502,308,649,500,649,107,282,800,609,500,500,501,501,995,500,501,819,482,649,503,502,589,800,500,502,649,500,501,791,501,800,500,649,800,500,502,501,800,501,503,502,649,303,649,501,502,502,649,282,800,502,501,502,800,560,500,501,800,649,16,500,501,502,502,503,800,282,649,503,649,649,504,293,649,282,128,800,282,502,502,282,502,858,501,501,457,501,504,800,500,649,589,227,649,800,800,501,502,502,503,502,282,502,500,800,800,502,502,503,503,649,649,502,500,107,501,502,27,503,39,544,502,502,500,503,755,455,155,649,502,800,502,501,502,282,800,524,504,800,503,282,502,649,214,501,501,649,800,503,500,501,502,95,503,776,501,503,501,501,356,16,503,800,502,800,800,800,503,282,800,264,800,649,649,504,800,7,500,904,282,649,649,502,500,649,500,503,501,649,649,502,500,500,502,16,16,282,282,800,500,503,800,503,487,649,649,504,103,502,501,800,503,502,16,503,501,502,733,503,800,282,502,501,501,501,107,503,800,501,649,203,649,502,500,282,500,500,501,649,807,649,502,889,501,501,500,503,282,649,503,282,649,649,330,501,502,649,503,502,503,500,501,282,295,503,500,577,500,649,649,282,800,16,288,500,501,504,282,500,343,800,33,800,574,502,800,649,800,503,649,500,503,500,502,501,455,57,800,282,284,649,503,800,448,825,282,501,282,504,501,649,16,500,649,282,500,887,503,500,16,500,503,800,502,211,501,649,282,501,500,800,294,777,502,282,800,800,999,649,503,16,503,503,800,500,501,516,502,501,16,214,107,501,503,282,500,500,502,501,649,503,649,363,649,500,649,96,502,501,503,501,500,16,501,502,282,500,501,502,282,800,503,800,282,282,649,502,502,576,695,501,502,649,591,501,503,502,500,503,500,800,800,503,501,649,501,502,800,632,503,800,705,400,503,502,503,649,503,501,649,503,500,800,504,649,501,800,438,282,245,503,16,500,502,500,500,503,282,501,282,502,649,503,501,649,502,649,502,412,501,503,385,282,501,503,103,649,501,502,500,800,800,250,800,800,500,16,500,282,502,282,503,503,500,322,649,313,500,649,649,748,502,500,800,649,282,504,649,503,800,649,649,602,649,102,649,501,125,800,503,502,500,282,501,503,500,503,82,500,502,649,500,503,502,501,502,800,503,500,501,500,501,16,833,800,958,588,501,282,500,649,800,800,649,503,956,503,501,503,800,649,800,502,800,504,282,503,502,655,877,500,502,500,649,503,650,503,337,501,800,501,503,282,501,502,500,501,501,400,800,800,500,503,502,502,649,282,503,282,103,502,282,649,282,649,800,502,649,92,501,500,649,800,502,396,233,501,800,503,800,500,257,500,824,16,282,503,649,282,502,800,16,502,502,502,501,503,503,502,500,16,503,638,501,419,502,504,137,282,500,633,311,649,649,282,628,500,800,480,502,649,501,500,503,502,218,649,398,16,504,503,500,500,500,501,501,502,368,503,649,503,502,649,16,503,282,282,500,186,503,502,501,649,502,649,500,800,501,501,501,649,503,501,649,500,501,503,502,800,504,538,16,501,800,500,503,500,503,503,649,22,649,501,502,308,107,800,649,282,800,500,800,502,501,282,604,282,502,922,502,501,503,282,503,800,500,500,500,649,501,500,668,500,800,503,502,188,500,16,501,649,500,500,800,421,282,966,282,501,502,502,503,282,501,500,649,503,649,503,40,800,800,501,282,800,501,16,504,501,812,504,16,800,502,502,500,502,500,502,649,409,649,503,503,501,282,649,649,500,503,649,503,649,502,501,800,800,502,501,16,649,529,501,500,452,282,800,800,500,500,16,501,500,500,500,503,503,800,800,503,501,500,649,649,107,501,502,858,16,282,16,500,635,282,502,800,503,502,500,500,16,504,668,587,500,800,649,649,500,502,282,649,503,107,501,800,502,501,800,501,502,800,800,502,500,800,503,502,529,16,502,800,502,649,502,503,501,649,800,500,649,962,502,649,500,501,500,800,502,800,502,501,649,649,282,504,649,649,800,800,649,448,16,502,501,54,800,502,502,501,501,269,649,282,502,705,89,502,255,502,500,640,503,502,16,16,730,500,501,800,501,502,800,800,282,502,800,500,503,502,500,502,501,16,16,501,500,503,649,138,585,649,503,502,162,503,501,7,503,503,617,800,500,800,139,504,501,504,205,312,502,800,502,649,438,500,501,503,503,800,501,649,501,503,501,54,282,500,500,800,282,503,503,504,502,649,500,500,503,282,500,502,800,504,649,800,500,800,503,502,500,503,501,500,791,71,501,503,503,501,649,209,502,705,16,500,993,500,517,800,502,800,282,500,649,500,673,649,504,649,649,502,800,294,501,649,16,282,972,502,800,649,501,500,503,502,649,282,502,502,282,22,501,502,501,649,265,500,500,800,501,501,501,500,376,501,800,501,502,502,282,500,503,401,500,649,463,800,282,28,500,16,500,282,503,800,500,800,16,800,503,649,649,649,52,330,502,649,282,502,501,500,800,500,500,282,694,160,502,501,649,500,502,800,649,649,502,649,16,500,503,502,504,699,800,649,282,800,800,800,800,503,871,500,649,282,500,502,500,503,649,501,500,501,800,524,503,502,502,282,74,282,47,500,502,107,649,800,503,640,249,16,500,500,501,501,282,502,501,689,501,500,500,800,25,649,500,800,649,500,503,282,502,804,503,503,502,503,503,502,819,503,282,649,649,987,482,500,501,833,500,503,501,503,504,503,468,705,500,502,502,800,500,800,800,503,503,800,649,282,800,501,649,282,649,502,503,500,282,282,800,649,502,502,282,500,503,649,649,500,503,16,103,500,800,830,501,16,825,282,649,500,501,502,503,500,294,501,500,282,500,503,502,502,502,100,16,160,649,501,103,500,502,501,888,800,800,500,503,300,858,705,16,501,504,502,16,800,649,904,16,501,800,501,933,693,800,503,500,500,282,649,502,800,502,503,502,16,107,282,800,649,501,649,800,282,502,800,800,649,282,502,107,437,503,649,800,800,649,800,503,502,165,354,800,502,649,705,649,800,501,41,500,501,502,687,800,16,800,500,16,501,504,501,583,937,649,649,500,503,502,282,503,500,649,501,649,503,501,503,282,800,503,500,502,501,800,501,500,46,800,502,503,649,503,184,503,800,502,500,16,649,345,502,502,500,503,867,800,144,503,502,489,504,649,800,649,38,224,503,500,502,500,503,800,282,649,501,439,282,800,800,502,501,502,501,501,501,270,500,649,282,502,649,500,500,500,500,501,502,503,500,501,502,502,649,502,180,502,649,649,502,503,282,103,282,800,501,649,282,649,849,934,503,16,847,649,800,502,502,282,500,808,503,649,503,800,501,282,649,502,503,500,348,502,800,501,16,743,502,53,504,304,649,649,800,500,503,502,500,501,282,500,503,800,502,725,882,502,503,500,800,503,503,819,282,649,500,649,800,800,844,501,503,103,500,649,503,107,782,800,649,649,941,503,502,501,800,293,502,501,500,16,501,501,501,501,500,2,800,501,502,198,16,503,502,769,502,500,800,500,501,500,412,500,500,504,107,800,500,649,800,649,501,502,500,503,282,502,16,502,501,649,503,972,502,500,502,16,556,503,502,800,649,500,800,502,501,503,800,782,500,500,649,502,502,800,500,501,649,503,503,501,485,503,16,800,629,649,282,503,649,500,282,885,649,16,503,800,853,502,282,648,500,649,502,502,16,649,800,175,800,503,501,501,500,502,503,503,289,282,502,649,800,807,800,502,503,649,501,502,800,16,649,800,502,800,559,501,107,501,467,503,716,649,649,502,800,649,501,649,500,503,503,501,502,502,282,503,800,282,501,501,649,282,502,501,800,500,800,501,282,502,649,234,501,649,503,503,800,16,501,502,807,502,500,800,502,500,282,300,800,502,800,503,500,616,649,502,649,800,502,500,500,286,282,282,500,502,484,649,16,502,282,282,501,503,502,501,503,209,503,502,649,113,600,800,501,500,502,800,649,503,501,282,503,500,16,800,16,800,500,800,501,649,38,649,649,500,649,282,501,800,500,282,501,282,282,501,282,16,500,504,800,649,800,500,503,501,282,121,501,502,800,501,502,649,502,501,501,502,800,501,800,501,800,500,502,503,500,649,649,503,800,800,800,649,503,579,500,503,27,16,649,208,502,503,800,502,503,502,500,501,501,800,502,649,500,800,500,501,649,800,502,500,503,500,500,37,649,500,800,502,505,649,649,502,800,503,649,282,16,649,502,800,500,800,503,500,503,649,800,503,649,501,800,599,649,800,649,652,649,501,878,500,500,800,282,133,282,87,500,503,503,107,800,800,800,649,107,207,503,282,16,800,501,500,800,502,16,501,500,800,649,649,503,504,500,503,800,502,416,502,649,800,88,800,502,502,649,800,800,649,503,501,502,502,16,700,500,800,800,501,473,503,16,502,502,501,503,501,649,649,282,501,800,503,649,501,282,750,282,503,503,500,798,86,502,800,501,16,504,649,501,502,502,800,501,502,503,500,503,504,592,800,843,899,654,500,555,504,503,282,503,885,503,501,504,501,282,200,503,501,500,501,800,800,282,503,649,503,502,480,800,170,179,749,502,800,445,800,800,282,649,501,500,500,282,800,501,351,711,649,316,649,16,282,800,504,502,503,517,178,501,502,800,282,501,500,282,500,500,501,649,501,649,500,649,502,500,501,16,501,282,502,622,502,502,800,282,800,671,503,800,500,800,503,504,501,800,282,500,501,500,889,503,344,16,503,500,500,525,500,282,282,26,82,501,501,649,330,503,500,502,5,502,800,502,503,800,100,254,993,800,282,503,500,282,282,502,500,502,501,649,503,649,500,800,123,282,800,785,503,736,282,502,503,649,415,649,500,502,649,649,503,282,503,503,501,501,800,16,503,800,800,502,649,504,800,500,502,922,800,800,649,800,649,649,500,800,649,503,500,16,503,649,800,282,800,800,503,527,649,501,9,649,39,800,606,800,503,503,800,16,501,502,800,282,649,844,58,500,59,503,972,649,503,504,503,502,501,649,503,800,649,649,649,649,501,504,502,237,979,16,495,500,282,503,500,549,473,649,500,967,705,501,16,500,895,501,500,500,502,649,649,905,500,501,282,282,800,927,800,800,649,282,800,503,500,503,800,649,501,502,501,216,649,501,779,503,503,800,500,501,500,282,501,504,503,160,500,502,806,800,502,800,649,649,8,500,282,282,649,604,504,503,503,501,500,503,800,501,502,504,501,501,504,649,282,501,503,800,713,737,649,501,502,872,282,502,282,649,688,502,500,100,504,500,503,346,500,501,502,649,503,501,649,502,500,500,502,500,640,426,503,649,500,500,282,649,444,500,501,502,501,800,188,501,501,800,501,503,282,649,649,504,501,800,997,501,500,800,649,986,502,502,282,576,502,649,503,800,502,501,500,502,501,501,282,500,501,502,800,503,282,800,581,501,956,649,501,800,194,800,800,649,107,501,502,800,800,503,646,503,504,502,282,649,16,649,800,503,282,416,502,275,800,504,282,800,282,924,502,501,800,501,107,502,501,502,649,649,800,800,501,503,500,501,502,649,502,501,502,503,800,504,282,39,501,800,591,503,649,500,502,282,649,649,231,502,800,800,509,503,800,500,501,649,839,502,594,16,501,500,436,800,501,103,500,649,500,649,107,804,282,501,883,503,500,16,500,649,503,800,800,502,502,800,800,649,866,500,501,500,500,501,800,502,719,501,16,504,51,800,800,501,649,502,502,157,16,501,298,504,16,502,503,500,282,649,500,503,649,502,649,649,500,282,282,503,500,16,503,848,697,503,501,501,282,501,500,500,494,502,800,800,503,502,500,501,502,503,502,649,501,800,649,649,800,500,282,502,273,503,147,501,16,500,500,800,800,501,500,800,925,501,282,107,800,500,232,630,504,132,500,649,800,500,649,800,503,501,557,800,501,503,282,500,503,595,214,502,500,500,16,500,501,501,501,500,800,503,153,282,649,847,471,282,502,500,502,282,554,800,504,649,799,649,282,649,107,282,501,503,800,649,800,789,500,504,282,501,800,16,16,177,800,649,500,800,723,990,351,496,501,501,896,649,649,649,501,507,649,282,503,502,503,649,649,649,503,800,814,16,800,504,649,649,500,800,800,442,800,500,649,501,503,649,16,502,349,500,800,502,501,800,653,500,800,500,800,800,501,501,969,503,500,503,502,922,500,500,501,503,649,501,282,504,502,121,501,103,282,800,502,504,501,502,462,649,503,282,503,502,103,217,282,500,800,473,504,500,800,282,503,502,800,501,502,282,800,500,500,500,503,502,649,800,800,502,649,800,503,649,800,800,800,16,502,282,503,649,20,16,282,16,16,649,282,649,72,502,16,501,503,453,649,282,500,800,640,282,649,800,500,800,503,500,282,282,379,503,787,800,824,500,649,800,125,503,649,500,501,502,504,500,501,502,501,735,133,500,502,503,503,975,103,680,872,500,502,649,502,503,282,940,242,649,500,500,800,501,16,282,800,501,502,500,503,16,500,500,503,245,502,649,502,503,800,501,502,503,649,503,800,282,282,503,501,502,502,261,502,503,762,502,800,282,501,649,504,800,500,501,502,282,500,502,46,649,102,503,503,649,16,649,503,500,42,649,800,800,503,16,502,649,501,500,503,700,500,649,500,500,500,800,800,502,503,16,501,800,800,503,800,649,110,503,649,649,502,800,107,503,800,649,282,649,649,501,470,500,500,800,282,502,384,800,502,800,501,316,614,282,649,500,800,800,66,649,649,94,502,905,800,500,501,649,649,502,501,649,800,501,800,503,503,503,500,501,500,500,282,502,500,800,501,502,500,503,282,500,16,503,107,501,500,282,500,502,649,502,503,500,501,767,503,800,422,502,649,16,503,800,500,282,649,502,282,282,649,800,502,103,649,503,503,649,501,694,500,503,502,501,800,649,500,649,649,501,821,502,649,500,500,502,503,800,663,501,502,501,504,500,800,649,649,649,399,501,503,649,501,502,502,800,500,649,16,649,800,649,723,800,504,649,800,502,500,502,986,649,503,800,649,503,649,649,649,503,501,16,502,504,649,501,107,501,503,500,500,502,503,282,503,502,501,282,501,502,282,501,501,800,910,503,282,800,649,502,282,72,501,502,503,502,800,501,16,800,800,282,503,502,503,16,649,502,800,649,503,16,502,501,649,503,500,504,16,282,503,282,502,503,503,503,649,503,16,502,502,502,500,649,501,649,500,503,500,800,800,502,649,503,500,800,985,501,298,800,282,649,282,800,501,501,503,500,282,282,649,504,501,503,502,502,649,501,282,649,502,500,109,73,649,501,503,800,141,282,503,502,649,649,503,282,649,800,282,500,500,961,800,500,16,500,502,501,165,501,503,503,800,282,500,503,16,282,503,800,503,282,502,503,500,500,503,502,503,501,501,16,649,503,282,501,528,649,501,503,502,466,502,502,503,800,503,503,692,502,800,224,500,500,502,800,923,800,649,282,500,649,800,503,503,107,649,503,649,649,502,501,502,205,800,649,502,649,16,502,500,800,503,103,16,500,256,502,503,282,501,500,500,501,500,800,314,649,501,501,500,500,914,800,502,503,16,649,800,649,500,800,800,800,501,500,800,503,800,128,500,649,500,107,502,282,503,501,500,501,501,649,800,282,649,800,800,800,502,500,195,747,411,501,502,282,503,800,500,16,717,500,826,503,501,800,501,800,35,327,500,503,800,800,800,500,649,500,500,649,501,501,500,503,64,503,800,926,705,501,500,649,800,502,156,800,501,649,649,705,503,282,502,800,503,503,503,800,649,501,16,502,593,501,800,502,503,500,500,502,282,503,282,504,503,649,503,502,502,196,282,937,800,800,800,503,501,503,282,502,518,649,503,502,501,800,504,664,649,502,502,800,282,282,503,665,583,503,800,503,649,282,282,923,500,501,501,500,252,698,123,502,501,649,501,282,500,500,501,500,372,649,163,500,649,500,503,459,369,480,500,16,700,800,502,503,503,501,649,649,713,503,390,502,502,282,282,800,501,800,501,500,649,16,502,282,800,502,649,291,282,800,800,507,800,527,604,503,649,500,501,501,1,800,500,800,649,800,503,65,501,282,501,501,503,800,495,649,501,503,800,649,504,282,503,502,399,649,649,800,533,502,501,502,16,649,500,800,503,271,649,796,500,947,503,503,649,435,649,649,225,649,649,500,649,282,500,500,649,501,800,468,905,649,501,503,501,501,800,715,649,501,282,800,501,282,502,503,501,649,649,16,503,72,502,448,649,502,172,502,16,503,502,16,501,649,501,800,500,800,500,503,800,649,16,501,500,649,501,501,503,501,503,501,501,503,649,282,503,502,500,503,649,649,502,502,503,501,569,282,649,502,649,649,649,501,503,500,329,501,332,922,500,502,503,501,502,649,747,500,502,489,502,501,800,649,800,501,806,503,649,107,649,800,503,503,800,282,500,503,503,223,800,504,500,363,649,800,501,649,649,500,649,502,800,500,501,501,502,503,521,649,504,649,189,501,800,503,649,503,503,800,500,503,500,501,954,282,800,800,503,500,502,503,500,282,501,502,500,501,501,501,502,649,501,716,502,160,649,502,333,800,649,88,221,500,501,503,649,500,798,501,800,282,800,372,282,501,504,754,501,502,649,800,501,500,503,500,500,501,504,800,800,649,502,501,500,649,501,500,649,501,502,649,800,501,649,282,501,331,500,500,500,500,209,649,501,502,16,502,504,503,107,626,649,282,282,800,800,500,334,16,500,503,501,501,800,502,800,800,282,500,503,649,282,503,502,501,502,649,500,282,282,503,501,16,502,282,500,282,282,649,501,205,649,282,319,503,649,800,502,500,501,526,503,858,503,800,501,503,152,501,825,500,500,282,16,501,503,501,912,501,649,500,800,504,502,800,503,476,800,649,800,166,282,500,282,502,501,800,821,649,500,502,504,500,874,800,649,809,649,503,502,501,282,503,501,649,501,501,503,649,649,500,16,547,501,500,800,282,503,16,501,649,482,503,503,16,649,649,504,800,16,909,99,584,503,500,282,800,502,503,800,503,500,501,16,800,800,502,800,501,500,500,503,649,649,501,800,282,502,625,503,794,502,502,800,503,501,800,800,502,501,16,501,282,503,503,649,501,649,705,502,502,826,504,282,503,500,16,503,503,800,800,649,800,649,500,380,502,502,103,282,500,503,800,800,501,500,800,800,649,274,127,649,786,500,503,501,503,158,16,282,503,502,503,410,502,503,800,501,502,503,897,567,501,502,649,500,501,503,800,502,500,500,501,705,501,649,16,779,500,501,503,800,649,800,800,649,649,424,502,282,501,557,502,503,500,282,649,282,500,384,442,800,800,800,649,800,800,649,223,501,873,800,502,500,800,800,500,501,282,282,800,649,500,282,800,730,500,500,426,503,16,41,407,500,502,504,107,500,649,800,101,501,649,501,504,500,502,800,457,500,800,501,503,502,800,647,501,501,500,800,282,501,501,800,16,800,649,500,501,63,501,800,500,649,107,282,107,800,503,502,502,500,800,502,502,503,502,800,502,649,502,649,500,504,649,503,502,502,502,107,501,501,404,282,500,503,502,663,504,501,800,500,500,501,503,473,649,500,502,500,500,501,504,282,501,503,107,500,800,649,649,800,800,800,800,500,282,649,357,502,649,142,501,503,503,501,649,501,501,503,649,502,500,113,503,649,593,282,500,501,502,821,800,197,502,800,502,503,800,807,282,500,800,502,503,503,503,780,500,788,16,320,501,282,504,821,503,501,649,800,103,800,501,503,503,649,501,282,129,800,503,800,502,500,207,800,502,592,328,502,649,503,501,851,502,502,500,258,500,501,501,503,282,501,800,501,282,500,503,503,282,501,501,66,402,16,282,16,800,856,6,649,501,502,56,649,503,800,500,503,502,800,930,282,282,103,282,500,800,503,502,282,198,282,503,800,649,502,503,649,713,503,800,503,282,501,501,501,500,800,800,500,500,501,649,501,500,649,800,282,649,502,649,282,502,502,502,705,800,282,501,649,503,282,282,501,500,649,500,502,800,503,121,500,107,503,800,800,103,800,501,386,282,500,502,649,649,503,649,504,458,649,501,502,282,16,883,502,502,503,57,649,501,502,501,503,800,649,503,800,500,176,503,502,503,502,500,504,500,503,649,500,503,502,282,649,861,502,282,503,503,800,649,649,407,503,500,501,503,16,502,500,501,931,501,501,503,502,501,250,503,649,500,502,503,503,649,520,282,669,502,501,504,649,800,800,503,115,800,800,500,649,800,800,16,503,653,502,282,500,502,800,500,500,800,500,282,800,501,1,649,649,502,800,800,500,649,501,947,129,501,282,282,501,501,500,500,501,502,502,800,282,61,501,852,500,501,501,502,502,500,500,800,500,501,502,504,501,503,500,502,282,500,103,649,500,502,503,500,282,500,975,649,500,282,649,502,800,16,503,502,502,502,501,202,16,800,16,282,503,649,504,501,649,649,503,800,282,649,800,649,503,501,800,501,292,500,282,503,649,649,649,500,649,649,16,500,501,649,500,500,649,800,501,282,282,504,282,800,325,800,503,503,649,800,501,800,500,502,16,501,503,503,503,514,503,649,649,500,503,282,503,460,388,503,649,649,500,800,502,585,504,282,800,504,103,471,502,53,502,649,426,16,500,621,500,502,501,504,500,282,649,503,654,500,649,800,503,552,502,502,501,910,649,502,504,800,503,649,643,670,463,500,500,501,649,503,649,800,503,282,800,501,282,649,501,887,502,503,501,501,501,16,282,501,502,501,649,785,500,500,502,649,503,649,16,503,649,800,501,982,800,649,138,500,800,501,649,502,500,502,107,282,800,629,503,503,464,502,502,503,501,649,800,503,692,800,16,500,501,503,101,503,500,501,500,503,559,502,500,649,501,500,500,282,502,649,500,502,282,800,282,500,503,501,966,501,503,817,649,432,282,107,649,502,649,282,502,502,503,781,649,503,500,501,649,501,501,282,649,407,800,800,649,501,500,729,500,502,800,503,503,16,501,800,16,862,500,503,800,503,503,16,649,501,649,502,501,800,96,503,500,501,800,649,500,800,500,500,282,649,502,501,800,503,800,800,649,503,800,800,500,502,282,500,16,500,16,800,502,800,800,502,680,502,649,649,16,282,649,500,649,16,800,502,502,649,500,800,500,334,800,503,502,800,503,282,503,503,500,450,500,501,800,500,800,502,503,500,649,800,649,500,107,500,851,501,503,863,282,800,500,649,503,282,10,282,502,649,800,649,282,503,446,502,649,502,800,503,501,501,503,503,503,500,500,501,501,16,649,800,649,800,503,800,800,800,649,649,503,502,501,502,503,649,503,500,107,649,649,501,107,282,107,501,502,503,502,16,800,502,502,649,649,501,251,441,501,107,500,728,502,107,500,503,500,282,649,800,502,503,561,502,502,68,502,800,501,649,501,649,800,800,451,502,649,373,325,378,286,502,503,502,16,800,502,381,16,503,282,501,282,800,658,649,500,503,503,501,649,107,800,502,500,107,212,649,503,282,509,502,556,500,649,800,501,282,500,587,649,775,503,500,996,501,500,503,500,800,501,222,502,800,503,503,463,501,502,503,287,503,503,501,580,500,649,502,800,501,500,503,800,282,500,502,500,504,282,574,99,649,282,649,501,282,282,502,500,500,501,800,502,937,500,800,500,502,500,503,500,800,16,503,282,612,800,500,502,800,502,502,800,800,800,503,649,502,503,800,503,502,16,800,282,501,649,260,500,503,503,500,387,649,800,282,16,649,649,503,649,502,800,503,502,501,500,500,282,282,800,502,800,649,282,501,503,649,503,503,800,649,807,800,649,649,800,503,500,504,649,800,282,649,501,500,762,501,800,515,297,502,649,501,503,800,503,282,502,502,502,678,800,502,501,500,503,502,925,811,500,800,500,501,649,800,649,649,16,501,203,502,16,338,503,800,500,800,500,502,504,501,282,502,502,16,649,649,502,501,500,282,501,502,525,503,500,500,503,502,305,501,615,502,54,500,502,282,503,800,500,800,649,16,800,800,16,282,502,16,800,502,500,16,649,800,547,501,501,649,500,500,649,501,502,503,800,282,503,282,649,501,649,502,501,502,103,504,503,502,800,800,800,582,800,501,177,107,705,649,649,800,500,282,800,502,649,800,282,501,649,998,282,649,501,800,503,502,800,502,203,501,16,503,502,500,649,502,282,800,503,800,800,500,837,502,503,501,305,500,16,502,500,800,504,282,800,502,502,800,502,501,502,504,282,800,16,502,502,501,502,800,501,800,503,282,503,502,282,649,500,103,502,800,811,502,282,500,500,800,500,649,501,503,282,51,500,500,282,501,501,502,500,502,649,502,800,500,16,501,816,649,215,501,501,481,16,503,500,159,500,282,250,649,500,500,950,500,500,16,503,503,501,107,800,480,282,723,501,501,502,502,649,649,16,649,500,254,503,583,777,502,504,501,500,649,502,503,649,500,800,649,800,500,649,501,282,282,500,810,800,503,282,629,503,502,500,501,500,500,247,503,800,649,501,649,649,949,503,503,500,649,504,501,649,501,75,501,503,649,713,502,103,649,100,501,800,649,500,860,500,649,503,649,800,500,500,503,649,100,282,649,800,649,500,501,503,501,504,649,503,649,16,649,11,502,502,502,282,649,500,649,800,800,502,393,502,501,501,800,503,16,800,503,504,502,502,888,16,501,503,502,800,502,502,552,243,502,211,649,501,501,649,781,90,500,500,282,282,649,649,503,800,247,800,501,800,500,625,649,208,670,282,800,502,621,81,503,649,439,223,649,500,500,91,800,501,501,500,501,502,800,503,501,800,501,800,570,649,800,649,501,800,501,282,282,282,984,800,501,502,649,503,500,503,500,500,500,500,800,500,504,649,282,501,147,500,501,501,649,649,800,503,660,501,500,800,502,503,502,501,502,800,502,649,649,500,649,649,959,761,503,800,501,503,502,16,503,500,132,759,800,649,501,649,802,16,107,649,503,500,282,800,502,800,800,500,287,16,500,502,649,501,500,500,503,503,500,504,502,501,103,800,99,500,705,16,865,500,500,501,218,800,800,410,502,649,16,800,800,502,176,501,502,147,501,503,282,649,503,800,500,503,16,415,503,501,896,501,649,282,193,800,503,501,501,282,501,649,501,282,502,282,800,500,639,503,800,500,800,769,502,377,503,100,16,649,500,800,800,502,876,501,437,504,649,754,500,649,649,988,501,800,501,503,502,502,282,502,501,800,500,649,502,649,649,800,800,282,649,503,800,649,500,800,649,501,503,501,427,649,282,649,649,503,502,501,649,107,800,501,501,500,649,501,500,500,503,501,501,282,503,501,516,649,16,502,500,501,649,16,616,502,800,146,500,503,502,649,503,500,800,500,800,501,649,16,501,649,800,800,649,649,500,649,800,629,502,502,96,282,501,500,649,16,503,133,501,501,501,500,502,800,502,503,16,502,282,503,500,649,500,502,501,503,649,282,501,317,500,503,501,503,867,502,500,500,705,501,502,897,812,514,502,500,516,502,800,282,503,502,800,500,501,500,503,502,649,502,649,502,282,504,624,501,500,502,649,504,800,502,500,282,793,16,503,502,282,755,649,503,504,501,501,16,282,649,499,503,649,500,649,500,503,282,800,649,501,676,502,579,501,649,500,800,501,502,503,503,107,502,710,915,282,503,282,502,800,384,501,503,800,649,977,964,33,503,800,501,649,503,501,649,800,502,503,16,503,501,649,649,503,502,608,800,649,800,282,501,502,502,500,649,649,649,500,500,649,626,500,503,800,501,502,649,500,503,649,800,501,500,501,800,649,800,228,501,800,800,501,125,502,503,649,501,800,501,503,103,500,503,800,871,800,664,331,502,503,282,338,800,282,282,533,502,665,503,800,502,500,502,302,800,501,486,503,725,649,16,502,282,800,282,16,503,502,107,146,503,70,649,282,874,502,649,503,501,502,649,501,503,247,501,502,500,649,500,503,649,103,800,502,16,649,649,800,501,501,16,500,500,800,649,800,502,235,649,850,501,500,501,501,467,282,418,649,504,503,503,592,500,502,503,649,593,800,800,503,502,504,649,503,501,500,282,502,800,649,500,503,649,800,502,135,502,649,503,501,502,501,285,999,16,502,800,16,800,616,502,800,563,282,649,649,800,649,503,649,282,869,887,502,800,16,501,800,649,500,503,800,503,16,500,500,282,800,502,502,500,649,500,502,500,503,501,501,649,503,649,649,502,500,502,501,501,501,649,800,803,503,649,282,800,690,500,502,649,649,282,282,527,598,502,282,800,649,503,800,501,282,16,503,500,503,500,502,282,800,503,800,500,503,502,282,954,326,501,16,282,501,282,649,503,500,800,282,504,800,653,649,649,965,800,428,501,500,501,649,501,502,500,282,501,501,655,502,424,502,503,800,800,502,649,282,502,516,500,502,503,649,800,649,282,503,502,649,282,500,800,503,649,504,800,649,649,502,800,503,462,800,800,800,502,502,670,892,500,503,286,503,500,501,800,501,800,649,928,500,502,282,502,500,150,503,649,736,649,16,189,282,412,16,504,500,282,500,500,501,501,282,16,800,138,649,416,800,502,500,70,520,800,63,502,16,502,501,503,649,502,501,502,502,501,800,500,504,282,503,501,544,503,501,563,765,502,800,503,282,503,502,502,800,649,330,800,501,282,500,800,16,503,503,602,502,538,649,482,800,501,503,800,504,503,502,800,502,282,64,649,504,282,501,500,282,649,503,501,503,502,649,734,131,16,800,16,501,503,649,500,800,503,503,800,635,501,503,800,500,800,800,503,503,800,503,306,502,649,723,649,800,811,500,16,892,800,800,282,649,800,298,500,889,282,800,649,50,936,503,282,503,500,501,800,207,501,282,501,500,800,800,649,35,502,800,649,503,16,500,504,800,503,500,502,649,500,503,503,282,800,503,503,649,500,705,282,500,501,800,501,503,503,504,503,500,500,504,502,649,800,710,502,502,800,501,800,800,502,282,501,503,503,800,501,860,503,502,501,800,501,800,849,503,500,503,649,502,532,282,385,800,649,553,649,500,180,800,502,800,898,503,502,500,282,370,107,500,927,103,649,500,501,16,501,500,500,361,502,800,800,503,501,503,800,800,502,649,502,501,800,502,503,133,500,649,504,671,792,282,282,459,649,500,16,649,649,502,282,649,501,282,146,501,971,500,761,500,649,500,800,649,800,649,500,649,571,396,746,500,502,649,800,800,501,502,282,934,649,649,649,502,649,501,649,501,649,282,500,391,149,800,503,500,800,500,800,502,800,649,500,501,599,502,502,649,500,504,649,501,501,16,500,500,649,143,501,220,503,401,649,800,649,500,282,568,500,103,502,503,502,800,500,649,649,800,282,282,800,502,502,705,502,500,501,502,503,16,411,501,500,501,649,502,503,501,502,503,501,649,503,665,649,503,501,503,466,503,503,810,501,500,800,502,501,800,649,649,649,800,501,500,282,16,500,502,501,3,800,502,503,649,649,282,649,16,516,501,649,282,500,282,800,503,282,502,503,500,203,434,500,500,649,503,501,649,649,684,502,349,500,501,800,503,121,502,502,503,282,502,326,986,502,638,503,282,501,800,503,501,502,800,501,800,282,649,503,282,649,500,107,649,282,800,82,500,502,500,282,800,503,649,503,503,282,16,514,649,649,503,16,649,543,502,504,800,282,503,634,16,164,649,800,649,503,500,282,16,491,800,503,502,503,500,502,16,503,16,282,503,16,501,502,503,800,649,649,800,907,111,501,500,800,500,500,501,501,557,449,502,501,800,501,800,500,500,504,966,375,16,503,500,282,503,107,800,502,649,501,501,115,98,501,649,1000,282,800,649,501,16,743,800,500,503,501,649,889,510,503,649,649,503,501,503,502,800,107,502,502,649,800,501,800,501,502,503,500,536,103,500,282,501,501,502,503,503,502,649,700,502,500,501,501,282,282,649,800,282,500,954,500,502,130,500,50,500,503,282,501,649,649,501,503,526,502,503,879,504,502,16,503,503,500,649,800,502,936,800,502,502,502,800,649,649,800,85,134,800,503,649,503,503,502,501,823,500,16,196,502,503,504,501,16,503,573,503,501,800,502,16,501,502,800,502,649,649,502,501,501,126,500,501,500,800,501,500,941,503,282,502,801,503,800,525,503,649,501,501,501,502,800,501,282,503,211,800,649,800,22,501,753,502,502,503,503,503,502,503,310,503,502,502,504,503,649,649,501,800,649,16,649,282,503,503,16,282,500,501,502,282,503,501,649,503,282,500,16,502,800,500,504,649,500,500,504,501,500,830,649,649,107,503,500,951,502,501,500,502,500,502,649,501,500,107,800,649,501,503,501,502,502,800,501,800,16,383,649,502,103,649,800,649,501,649,503,500,649,800,114,800,652,500,16,502,500,503,578,180,223,582,649,500,503,282,800,502,500,500,500,707,504,800,500,317,503,800,927,282,503,500,7,16,738,504,615,504,432,800,282,649,800,500,501,126,503,500,282,504,500,500,504,503,800,501,779,501,502,394,503,501,503,649,810,500,107,649,785,800,501,800,502,373,649,501,649,800,282,933,500,500,800,649,356,800,502,282,104,500,649,176,501,500,501,502,503,282,282,501,500,282,503,502,282,800,800,282,503,500,501,649,128,649,501,282,500,553,573,856,501,502,649,649,503,16,107,500,16,500,222,800,800,501,502,501,500,500,503,800,500,503,501,544,752,500,282,501,282,282,500,502,502,282,502,282,282,502,501,800,500,500,500,800,529,800,500,800,502,503,800,503,649,649,800,501,502,800,1,649,503,649,863,649,500,964,800,500,800,649,325,833,502,500,800,950,800,800,649,503,501,800,16,502,649,649,503,800,800,9,103,503,501,649,501,500,501,293,649,500,503,698,833,501,282,501,282,501,503,500,800,649,503,542,789,282,501,800,500,289,850,282,649,16,501,800,117,503,502,530,502,502,501,913,649,649,321,747,800,500,649,800,282,501,282,503,500,649,877,877,282,282,282,502,107,282,800,503,649,16,500,501,501,649,500,624,500,926,503,501,649,501,649,502,649,649,503,649,965,800,501,502,502,503,502,800,282,500,503,800,649,800,762,500,500,503,502,501,800,500,503,800,721,501,800,504,800,800,649,649,500,500,800,502,501,501,502,16,502,649,500,502,649,501,503,800,502,501,500,500,51,500,282,16,282,503,649,86,16,502,649,503,800,800,494,502,500,649,285,503,502,502,800,502,384,503,500,829,929,800,649,800,502,800,501,649,503,438,103,16,501,649,649,16,332,503,800,649,800,282,503,502,500,502,503,107,500,16,503,649,649,800,35,500,282,282,649,800,501,649,103,16,282,502,502,501,502,713,649,452,502,800,503,502,800,800,649,282,500,430,102,649,501,502,502,501,502,339,968,16,282,282,800,649,649,510,800,800,502,282,502,506,500,502,502,649,16,100,16,800,502,649,800,501,500,282,503,800,107,65,502,502,503,503,503,772,649,649,501,282,502,503,500,649,800,503,800,800,649,649,501,500,800,457,107,500,649,503,503,282,949,502,502,667,177,800,503,800,800,502,649,500,563,501,503,503,800,501,282,503,540,503,502,500,502,501,502,500,800,872,403,649,800,500,282,800,502,503,500,502,501,501,649,501,16,500,502,503,483,503,800,649,282,752,500,503,282,800,503,731,16,500,501,800,800,16,501,503,501,282,800,502,503,501,282,503,649,16,500,582,500,503,503,270,800,501,144,649,800,282,649,800,649,800,282,800,501,800,282,503,503,16,649,502,503,502,205,503,800,500,500,649,503,502,800,949,503,800,500,800,649,501,768,16,502,501,282,282,649,500,800,800,501,649,284,800,16,282,501,502,503,649,649,501,538,503,502,649,649,500,16,649,503,502,501,800,500,800,649,502,501,502,800,800,649,800,938,501,502,800,501,503,780,427,501,501,504,502,503,732,503,502,503,504,501,800,503,649,282,500,502,864,502,800,500,282,502,282,503,503,500,502,500,800,503,500,501,649,503,800,502,191,502,800,502,500,501,720,500,503,649,503,502,503,502,649,503,502,503,503,282,649,502,159,800,649,282,502,282,282,649,800,16,16,503,503,649,649,665,800,501,16,800,504,649,503,503,107,502,501,282,500,502,800,502,624,503,800,649,800,500,619,503,16,800,501,502,800,503,504,502,800,649,502,501,800,502,649,501,324,503,502,502,649,503,500,502,282,16,502,649,501,503,880,502,282,800,502,500,500,800,800,503,501,282,16,282,503,504,82,100,502,649,500,500,282,503,501,540,502,590,500,501,800,501,16,705,718,760,282,103,282,800,501,649,792,503,618,502,503,800,500,282,800,649,800,501,501,800,500,500,502,103,649,800,503,500,800,178,800,503,800,800,649,649,503,502,800,500,16,500,738,502,649,500,649,800,16,670,503,764,16,800,649,649,615,502,800,800,501,502,282,16,502,282,503,503,502,500,500,683,501,502,649,500,502,282,649,282,503,94,179,500,649,107,502,800,501,502,649,502,503,800,255,501,500,501,649,503,823,649,551,503,502,504,800,743,502,504,800,502,504,503,500,503,649,502,800,503,503,502,501,502,649,501,501,800,16,800,502,448,800,16,504,502,649,800,502,649,503,649,502,649,107,502,502,800,649,282,282,500,500,500,579,503,800,721,222,500,501,282,649,994,649,649,16,500,501,251,500,180,800,649,649,800,16,192,500,502,502,500,502,354,649,800,800,86,501,800,800,500,531,800,800,649,500,16,502,500,800,16,500,649,500,502,500,649,501,282,502,800,829,502,90,800,501,503,282,649,807,500,800,503,500,502,800,500,503,502,800,649,282,32,893,504,502,649,16,502,649,501,282,800,502,503,108,500,800,503,107,502,764,644,501,501,502,282,501,501,503,502,501,500,103,503,107,649,237,501,501,649,503,800,649,502,649,500,501,503,500,649,103,800,501,502,500,800,500,16,500,649,500,800,501,501,500,649,649,800,846,501,800,504,226,502,800,282,177,502,501,282,500,800,282,649,503,103,800,503,501,282,503,16,800,504,504,649,649,503,504,500,500,503,502,501,800,501,800,500,503,501,282,282,806,282,501,502,502,649,503,536,282,800,504,649,501,500,501,503,500,501,503,500,503,103,649,502,649,883,502,500,874,500,649,649,16,503,282,282,500,649,501,501,500,368,503,559,501,649,503,16,502,46,500,502,500,501,864,16,282,800,649,649,647,649,500,502,227,800,500,501,500,100,500,704,501,500,503,503,800,282,500,407,649,649,800,800,800,16,649,282,87,503,733,649,500,503,16,502,465,502,107,503,357,500,800,800,649,502,501,500,282,501,800,681,649,609,3,333,501,502,649,282,504,503,504,624,800,800,649,800,800,502,502,583,649,501,500,383,500,502,500,500,649,501,800,800,503,452,920,800,501,503,500,501,502,503,501,16,501,24,500,501,503,500,800,501,502,503,500,282,501,502,282,869,501,501,282,649,654,501,554,649,501,557,504,502,649,649,800,501,282,501,501,503,16,79,502,89,800,800,501,500,649,649,800,502,267,282,502,168,503,502,502,501,503,503,800,501,47,502,501,501,800,800,800,962,500,503,501,282,800,649,500,503,375,502,649,503,502,502,501,501,501,502,503,16,282,502,502,501,502,282,500,501,649,800,502,503,298,649,500,408,503,649,649,501,110,502,439,501,16,500,223,282,649,649,502,800,649,502,591,500,800,103,502,502,649,282,500,800,96,288,16,800,393,502,649,501,800,103,282,501,782,800,748,649,503,649,501,502,188,282,649,501,282,800,503,800,350,503,503,649,500,500,501,501,107,16,502,503,501,501,503,502,800,500,501,800,800,501,503,504,502,500,256,502,282,649,898,503,16,91,503,501,705,16,800,502,800,500,500,850,503,16,501,500,500,503,502,501,503,800,800,501,503,501,502,282,501,500,282,500,282,500,501,649,500,501,78,503,500,649,503,595,800,649,503,649,800,502,282,649,649,501,503,16,503,800,282,282,282,282,705,649,800,649,352,501,649,501,500,649,375,502,800,649,502,321,649,800,501,586,649,501,501,500,504,151,501,504,500,503,282,282,282,282,503,7,649,800,504,500,649,500,649,649,503,501,916,503,502,502,502,500,501,500,723,649,649,501,503,504,502,503,501,501,503,649,502,16,502,503,800,997,500,500,800,649,501,502,800,800,649,501,359,501,500,501,501,16,503,800,649,501,500,282,800,502,502,501,649,282,503,502,649,800,107,500,649,649,504,502,16,800,503,800,282,649,800,500,800,500,501,282,500,649,503,504,649,500,800,503,399,16,503,502,500,500,502,502,501,503,800,282,16,500,649,501,800,503,500,649,800,503,800,939,649,649,500,649,502,649,16,649,649,503,16,209,649,501,500,501,649,500,503,649,502,502,649,800,500,649,501,500,800,500,500,503,500,649,502,504,503,502,800,800,16,305,16,282,502,501,500,500,500,16,503,502,282,640,500,800,503,779,502,800,282,502,500,16,502,649,502,615,503,504,16,800,16,85,501,800,481,649,800,800,502,282,503,649,500,800,16,800,503,501,500,504,500,503,503,16,503,800,649,503,649,800,282,500,282,500,649,504,910,500,501,282,649,16,568,503,503,501,502,500,16,502,503,501,502,503,649,649,800,430,503,649,530,800,282,503,282,501,800,503,503,500,482,111,652,800,74,501,501,501,957,501,503,608,800,692,500,501,649,501,500,649,500,503,503,501,649,649,649,649,800,649,649,503,503,503,502,500,502,500,502,800,649,501,503,111,649,501,800,503,649,800,503,502,500,797,282,502,800,282,501,500,503,502,800,16,291,502,282,500,500,501,649,500,282,649,477,503,500,500,282,500,649,501,282,501,649,500,503,500,800,800,503,150,800,501,503,943,156,504,503,504,344,503,800,503,500,800,495,800,58,800,502,282,282,282,16,502,675,370,501,649,500,503,503,589,282,649,502,282,500,502,503,503,697,501,649,800,800,282,282,16,649,502,502,282,501,649,501,500,16,800,800,500,500,500,504,376,800,491,649,800,118,502,945,769,502,501,282,649,510,503,501,502,649,501,372,103,503,58,800,502,282,282,502,800,649,282,500,503,670,502,501,48,501,800,503,649,503,501,504,500,503,502,259,500,500,282,501,503,649,800,502,800,800,800,800,502,173,282,649,503,174,282,502,649,604,16,103,800,16,800,502,16,500,649,649,978,503,503,16,501,445,501,502,501,173,501,706,502,500,502,501,502,649,504,282,800,503,800,800,500,28,501,800,264,502,502,502,502,282,649,503,800,649,503,501,502,817,16,502,501,649,282,514,503,649,503,504,282,800,649,649,16,503,800,501,500,649,502,501,282,649,502,503,502,503,947,994,502,16,501,800,500,800,501,503,800,800,500,649,800,282,705,649,135,282,502,500,282,500,505,745,503,16,649,800,282,500,800,502,500,502,503,503,504,500,687,734,649,107,500,649,331,800,649,282,649,502,800,649,649,502,649,649,501,800,16,503,503,504,107,501,800,800,649,500,649,551,649,503,501,500,500,800,502,502,503,501,503,800,875,649,500,501,501,501,502,649,504,649,729,800,503,501,282,502,282,500,502,500,800,500,501,503,800,503,213,503,306,634,503,502,502,502,649,500,501,502,551,800,500,502,649,282,800,500,500,501,282,502,500,502,927,500,800,502,282,500,503,501,503,502,503,500,501,800,588,500,800,501,501,502,649,501,649,502,282,282,649,992,526,502,504,800,800,16,501,501,500,500,649,500,649,282,246,500,500,500,800,502,501,503,501,800,503,800,500,503,504,282,107,16,503,502,649,800,504,500,282,501,503,503,501,502,500,800,502,800,800,800,282,705,500,500,818,282,501,502,107,875,500,800,800,504,649,786,649,500,649,503,500,503,649,503,649,502,500,503,282,503,501,501,800,503,16,502,500,800,674,500,282,502,103,501,649,501,530,800,500,800,649,500,649,501,501,501,503,35,800,649,503,800,501,503,459,503,502,282,500,736,501,16,882,282,800,800,503,800,649,504,649,282,502,16,503,504,502,16,503,366,800,502,503,800,107,649,500,649,501,500,649,501,800,500,800,649,502,190,282,827,16,649,503,504,72,502,502,501,503,282,282,282,503,649,800,502,649,282,649,500,502,500,501,502,800,504,649,503,503,794,282,282,282,503,502,501,504,502,649,501,501,107,503,500,503,503,502,502,501,282,636,800,500,705,282,282,282,502,167,500,282,500,501,705,649,800,16,649,502,1000,649,649,575,282,649,800,501,972,502,800,649,16,888,503,501,649,800,282,502,649,16,500,800,503,649,649,501,800,649,800,282,282,502,500,502,282,502,503,682,810,649,503,503,16,282,800,503,854,502,503,649,503,501,16,501,282,399,654,649,502,800,503,502,503,503,800,649,800,502,649,500,16,800,800,500,800,282,800,501,501,503,500,649,649,649,502,502,500,23,503,504,536,433,16,282,282,649,800,649,800,649,501,16,500,500,282,34,16,500,501,501,500,800,282,649,502,649,502,501,500,103,503,649,502,501,649,500,649,800,502,502,501,502,649,800,502,649,649,800,500,500,500,502,501,649,550,488,500,649,649,282,112,501,5,502,649,800,503,500,800,649,501,705,649,503,282,501,800,502,649,56,750,649,16,504,800,997,500,501,649,282,500,502,501,6,649,975,503,500,503,649,282,501,503,501,501,501,649,649,282,855,800,800,503,501,501,500,500,503,500,649,501,494,500,503,502,500,107,649,504,800,501,502,300,500,501,500,501,282,503,800,500,502,282,87,502,649,502,800,503,502,903,500,502,800,501,649,503,282,500,502,503,501,502,501,761,500,883,501,649,107,501,800,800,540,282,501,16,503,800,800,501,722,800,800,500,500,501,282,800,649,407,502,649,501,501,649,500,217,16,502,500,503,500,943,649,501,800,800,800,502,450,501,649,800,649,500,503,501,731,502,649,502,800,503,502,504,500,975,16,501,16,16,649,195,501,502,194,501,500,800,776,502,649,800,800,931,800,503,503,501,911,500,16,503,800,800,503,119,500,501,800,502,500,800,428,282,800,501,649,195,916,800,649,501,502,502,503,344,988,16,503,16,800,500,503,649,503,482,289,107,501,501,649,501,800,649,501,502,16,503,18,503,502,502,282,503,649,16,649,721,649,800,503,800,502,282,800,282,649,503,649,502,501,500,407,700,502,501,502,503,804,800,649,502,705,649,800,649,649,126,503,800,899,503,800,501,604,500,649,649,83,502,649,89,502,649,769,503,500,502,502,800,503,899,649,649,649,503,103,412,503,500,500,504,501,800,502,16,500,649,800,282,500,502,503,501,16,503,499,649,503,502,503,502,501,761,16,502,800,501,502,504,503,502,502,500,282,800,649,282,501,500,649,504,500,503,649,16,878,501,16,800,503,326,649,800,526,800,503,200,107,503,649,501,800,649,503,501,503,502,649,501,500,382,502,282,501,345,16,504,502,800,503,649,649,503,282,503,649,440,500,661,278,16,503,503,502,107,800,503,800,282,502,502,503,500,800,503,282,501,501,649,502,16,502,502,800,282,503,800,503,500,502,800,368,649,800,800,16,800,955,502,705,502,502,649,800,501,664,502,501,282,500,649,800,800,649,282,800,282,502,649,16,503,800,501,314,501,503,282,800,501,503,488,502,503,102,618,501,500,503,800,800,502,649,800,282,800,503,500,800,502,93,282,800,649,800,501,800,649,503,282,282,503,502,800,501,282,282,16,500,649,504,405,131,649,363,808,503,649,500,502,502,649,810,502,499,800,502,500,501,501,500,503,500,649,500,67,440,282,501,453,282,649,282,103,998,501,282,503,500,649,800,282,101,503,501,649,501,501,500,502,501,282,501,502,500,800,649,649,502,501,502,649,503,282,503,16,649,649,501,800,800,282,800,503,800,502,501,501,503,501,282,500,500,501,502,649,649,500,504,502,649,355,981,502,649,282,504,501,503,435,649,503,800,501,559,857,500,7,649,649,338,800,502,282,500,502,649,501,282,16,291,503,502,503,282,503,502,800,282,502,282,649,503,502,202,500,16,500,503,501,503,649,640,282,500,504,503,318,503,800,389,800,500,282,16,501,16,501,501,500,103,282,502,501,282,784,800,502,500,500,502,502,500,829,501,503,800,501,181,38,503,503,16,500,501,649,501,282,649,501,500,800,502,282,501,800,503,502,501,649,502,580,874,504,503,502,282,500,671,649,501,503,503,282,800,171,652,649,503,501,502,502,282,503,501,649,501,400,131,501,107,500,500,649,501,503,501,503,800,282,327,504,501,945,500,503,500,501,282,282,800,503,500,800,834,500,649,856,800,107,649,502,501,501,501,174,800,502,941,504,16,504,282,649,100,800,282,800,649,501,649,503,282,501,649,503,649,500,502,649,503,501,16,500,282,800,282,282,935,282,501,107,358,501,282,502,915,800,16,501,501,800,503,723,503,79,500,16,282,800,500,502,502,502,501,282,502,502,501,649,584,800,237,502,501,500,504,16,649,504,800,501,905,501,503,800,501,649,800,800,502,502,502,649,282,500,16,500,503,500,501,502,199,800,503,649,501,501,649,800,500,500,502,501,842,502,282,500,500,495,504,502,500,762,502,815,800,800,800,500,800,282,282,698,500,503,725,382,501,501,503,503,649,503,800,933,800,500,705,502,501,503,502,500,282,503,526,501,501,800,460,501,16,503,500,800,800,500,800,500,800,502,503,559,800,282,503,282,501,503,500,502,371,501,103,286,660,282,800,155,502,649,800,503,16,500,501,282,500,649,503,501,501,502,501,156,502,501,503,500,697,649,503,503,649,502,500,649,500,282,500,103,502,185,502,501,501,800,800,649,649,502,649,501,350,800,500,501,43,501,800,800,800,924,502,500,800,396,649,516,503,308,800,503,500,500,144,800,16,503,501,649,282,18,16,4,282,502,503,800,649,500,501,96,482,800,800,503,282,501,800,800,649,502,649,500,649,500,502,649,501,504,503,503,503,503,800,500,16,282,16,800,503,503,523,832,503,501,501,503,502,501,649,16,800,503,191,501,649,987,282,800,488,502,502,503,537,502,501,502,800,649,503,503,503,501,329,649,503,501,501,16,503,800,649,503,502,503,502,649,503,323,800,503,800,800,503,502,502,649,800,503,113,107,800,282,709,500,502,502,503,107,501,800,500,800,503,502,800,502,503,500,500,282,195,503,800,500,399,501,500,619,504,649,504,800,800,108,501,500,16,500,502,800,845,501,501,500,500,503,282,500,500,800,502,500,196,501,503,649,500,502,800,500,503,504,649,279,800,649,500,649,502,15,501,800,503,502,107,500,503,500,800,502,800,502,502,649,503,503,800,48,709,500,800,282,32,16,503,502,502,649,502,661,169,520,800,502,614,800,649,342,502,593,649,649,649,500,500,503,800,500,800,503,501,502,500,502,501,282,649,807,501,503,800,393,800,853,282,500,649,500,152,753,800,282,649,134,649,307,500,501,282,502,500,503,501,800,502,912,807,800,649,503,800,800,502,503,502,501,504,493,503,90,145,500,649,501,649,503,800,649,502,649,503,503,503,16,282,800,393,502,16,103,502,482,501,502,503,800,297,501,502,502,649,800,500,503,500,501,649,649,501,501,800,501,501,501,649,501,500,501,502,800,500,500,502,501,501,829,282,501,820,649,503,16,513,649,282,503,26,282,500,374,870,282,800,500,500,501,500,800,800,800,282,649,649,503,501,503,501,731,501,503,649,649,501,649,500,949,500,16,282,849,502,503,500,184,649,649,501,649,503,800,500,503,649,649,502,500,649,649,16,503,399,649,500,503,800,502,208,503,503,282,249,525,564,800,503,957,503,501,501,503,800,800,503,257,16,282,845,502,502,500,16,649,502,649,878,800,800,790,503,103,500,501,502,649,501,501,800,503,800,282,500,800,503,502,16,500,502,649,374,649,500,800,502,500,503,16,800,800,503,649,192,800,800,800,223,502,501,501,503,500,649,649,503,501,800,500,503,282,501,501,43,282,500,649,846,107,503,800,312,718,800,500,282,282,502,649,649,649,503,503,800,500,862,502,500,16,282,503,500,503,503,770,500,649,721,502,649,501,504,649,501,501,502,736,500,500,525,500,649,412,649,16,502,641,500,504,502,16,503,500,508,800,502,501,500,500,800,643,502,800,832,836,649,502,495,502,682,800,501,501,800,649,503,800,500,501,500,502,501,800,502,809,103,800,282,282,500,501,16,800,800,502,649,501,502,501,282,501,501,500,503,16,188,16,800,16,800,330,502,502,869,501,800,649,501,282,501,16,501,532,800,282,502,97,282,503,649,502,800,606,94,64,282,649,800,500,649,501,933,500,628,800,282,503,578,500,502,503,649,500,107,147,502,500,503,282,282,446,800,503,649,649,178,502,800,502,500,502,16,800,502,649,282,502,705,502,807,118,16,502,503,800,800,328,800,503,800,649,500,800,502,500,501,504,800,500,663,649,502,16,501,500,16,800,800,502,502,625,550,282,503,649,282,649,649,503,500,503,16,16,501,649,800,16,16,282,500,649,502,500,500,502,501,502,779,501,503,500,954,800,800,503,502,500,16,649,800,800,913,800,271,502,649,282,282,502,500,503,944,649,385,502,575,500,501,501,500,502,649,501,800,501,649,329,500,502,16,282,16,649,501,649,800,800,649,800,500,649,800,502,503,500,502,649,500,800,649,282,107,500,500,501,800,500,16,649,759,501,665,503,800,503,643,501,644,500,658,130,800,800,800,500,501,502,107,501,503,501,16,107,16,503,502,500,501,502,502,800,501,503,502,649,649,503,504,503,800,649,501,282,639,503,800,834,501,500,500,49,800,158,503,503,694,542,445,504,503,16,501,649,282,502,504,488,800,800,501,500,504,502,718,282,503,502,649,502,388,502,501,500,800,800,318,349,503,649,914,503,88,503,502,504,536,503,503,733,501,274,282,962,504,500,500,649,501,649,501,502,800,649,387,502,501,502,501,800,687,649,500,282,502,800,503,500,500,800,649,925,501,501,649,131,74,800,800,501,282,501,16,503,501,800,649,282,800,282,501,316,502,800,800,800,800,503,649,501,649,767,297,49,501,843,800,501,501,502,649,501,100,503,282,462,368,649,503,503,501,800,649,16,502,800,502,502,501,800,237,282,392,503,502,501,500,502,649,501,649,587,282,501,649,276,800,800,892,501,501,649,502,282,649,503,501,502,649,502,502,502,501,502,502,502,800,649,972,999,503,16,649,649,800,651,800,649,503,800,502,800,500,649,501,282,501,16,503,572,502,800,500,502,500,649,503,800,649,502,107,501,501,282,282,501,501,503,800,502,503,500,503,502,503,282,502,503,649,500,16,502,503,16,501,800,503,282,103,736,800,649,649,503,503,502,502,503,282,107,76,501,503,504,282,649,16,191,649,983,649,503,500,649,500,503,501,502,503,169,282,421,800,649,503,16,502,800,501,800,649,500,501,282,500,649,504,500,502,800,800,503,800,649,875,649,500,649,502,282,800,856,800,502,646,502,501,501,649,649,743,16,502,501,282,500,800,800,800,649,800,100,503,649,501,649,620,16,282,611,16,503,16,504,16,879,800,500,502,500,500,500,366,16,502,503,500,107,500,16,800,500,16,502,619,502,345,500,649,800,649,253,502,16,503,649,649,502,502,649,649,656,649,501,502,502,649,649,800,500,500,501,535,503,500,800,503,500,500,282,107,282,649,282,210,503,501,502,500,501,16,501,800,184,239,502,502,502,503,535,500,649,500,500,16,502,282,103,282,503,649,107,16,500,191,16,649,500,503,103,800,499,800,502,503,649,502,800,16,502,503,282,649,503,282,800,503,800,649,800,869,504,500,649,932,500,649,502,917,800,800,500,500,502,468,500,800,503,501,649,282,503,800,503,501,502,500,800,649,501,501,266,501,282,500,649,500,501,282,500,800,502,501,353,502,649,503,649,800,122,282,649,500,502,500,16,282,15,501,800,500,501,800,503,136,791,102,381,649,922,503,282,501,989,503,502,503,501,649,282,501,282,282,502,657,501,500,16,500,502,331,440,649,800,800,501,282,800,649,503,502,246,501,500,649,502,500,502,503,93,308,500,501,501,503,502,502,800,649,800,649,282,105,502,649,501,649,500,500,649,502,500,282,800,501,649,503,502,800,858,800,514,502,690,502,503,800,500,504,501,502,503,16,800,500,282,504,502,664,501,955,502,500,501,282,500,649,164,500,16,503,503,649,800,501,282,502,426,649,503,649,503,800,649,500,503,502,500,501,501,502,649,500,413,500,501,503,502,502,649,503,800,135,501,800,503,649,503,501,500,282,649,501,504,503,649,800,282,161,800,501,800,502,500,800,503,500,649,649,500,282,800,800,511,649,500,510,470,502,500,649,282,504,500,501,500,282,501,867,502,649,649,501,107,282,500,502,500,502,500,800,800,500,503,502,16,649,503,501,500,503,800,501,500,501,552,501,500,502,502,649,501,649,159,500,500,502,502,503,501,501,503,282,501,500,800,500,502,649,503,282,502,502,282,503,501,502,503,24,504,503,500,502,886,502,501,282,649,502,649,501,500,800,358,282,503,501,500,501,503,502,16,800,500,800,501,649,800,800,662,707,800,649,649,282,500,503,503,502,649,501,503,107,282,501,997,501,501,649,503,314,503,813,757,502,985,501,501,16,501,649,800,503,837,503,501,501,502,826,800,501,502,800,800,500,500,967,503,807,501,649,381,800,800,800,649,800,649,800,800,800,16,501,503,16,503,503,500,500,503,282,649,282,930,503,649,282,503,502,649,282,500,500,503,502,501,500,800,500,545,800,763,502,433,800,503,282,800,881,649,649,500,800,800,649,504,800,503,649,649,800,800,828,107,502,846,800,500,16,103,649,800,800,502,834,501,501,500,649,502,501,649,800,649,500,500,502,502,649,501,503,503,503,51,502,501,800,649,500,501,649,800,649,500,502,649,122,502,16,16,502,501,500,500,503,503,649,503,800,649,503,800,224,566,800,800,504,800,800,502,500,649,502,500,282,800,108,354,500,649,649,501,649,800,606,800,501,16,501,649,282,649,800,504,89,800,122,503,500,501,500,800,500,62,291,282,282,500,649,503,956,649,500,502,502,503,500,282,501,500,503,502,800,500,502,500,500,800,502,503,282,800,501,500,501,503,800,502,502,500,282,503,800,470,800,720,790,500,500,649,649,502,649,501,282,503,501,503,282,501,500,662,500,800,800,16,504,501,500,33,282,502,649,649,502,501,500,502,502,501,705,800,592,800,504,649,500,601,800,500,800,501,649,282,501,282,800,990,800,649,595,500,502,503,500,500,503,500,502,501,58,649,649,502,504,501,501,502,16,500,502,503,226,800,501,502,800,16,649,502,503,501,16,800,800,501,649,502,266,649,503,502,282,501,800,503,501,800,502,649,282,878,42,501,502,500,282,800,500,79,502,503,16,503,503,503,500,649,282,649,800,503,947,502,503,502,500,323,500,500,503,282,504,623,500,282,502,501,500,800,502,503,875,503,800,503,503,502,800,800,800,807,649,501,502,504,649,649,501,500,800,800,649,649,282,501,800,500,502,282,501,79,800,649,800,503,800,503,500,341,503,16,500,800,56,501,733,901,502,800,504,500,800,502,350,577,501,502,503,649,282,800,781,800,503,649,772,502,502,501,829,800,501,800,800,282,649,190,40,500,500,502,500,800,500,800,282,502,501,800,503,800,502,503,501,503,649,500,503,800,649,500,501,501,491,502,800,644,282,501,503,502,503,933,500,502,649,649,800,502,502,800,800,500,107,503,893,458,501,503,649,503,282,649,800,800,800,581,500,649,503,800,649,800,501,90,344,649,501,503,800,800,282,282,649,89,503,457,500,649,502,705,501,501,649,500,503,282,500,981,649,500,649,501,500,581,501,503,502,649,503,627,649,800,502,16,500,502,501,649,500,501,501,800,504,800,500,501,800,500,502,501,500,501,500,502,503,864,502,282,501,282,502,411,655,500,680,800,649,649,503,500,503,649,16,501,502,16,502,800,800,501,867,500,500,649,500,410,800,502,503,503,19,649,800,550,800,501,800,800,503,501,503,500,800,649,502,16,800,282,800,500,501,16,502,501,649,503,923,502,649,503,500,800,503,500,503,500,500,502,502,800,282,953,800,649,500,503,501,800,502,500,800,501,502,793,800,16,503,503,500,500,503,800,649,800,500,501,501,503,503,796,282,16,171,502,503,107,282,800,649,501,282,760,800,649,649,502,500,649,780,800,800,502,800,501,800,500,501,502,501,501,500,504,800,800,501,800,795,502,800,500,501,415,387,649,282,504,503,503,547,503,649,502,16,593,503,16,503,282,504,500,649,501,504,649,508,800,502,503,681,502,649,649,812,502,502,501,649,800,204,504,107,453,501,502,500,501,502,502,503,503,504,16,143,305,282,503,501,501,800,500,649,503,502,800,194,501,649,501,504,502,503,503,800,649,504,282,256,502,649,503,649,503,862,504,504,649,500,501,282,503,502,503,500,502,481,800,800,502,649,800,500,503,282,282,503,800,705,589,878,500,12,503,649,502,500,500,500,503,649,501,500,16,791,500,157,282,502,677,800,649,503,447,282,107,282,282,649,503,728,649,500,649,282,501,282,800,800,282,501,504,649,502,500,500,502,800,282,503,649,503,500,800,500,500,502,510,800,503,503,661,800,800,800,16,649,501,649,518,501,901,282,502,653,502,800,503,800,649,501,503,649,502,282,649,501,500,16,944,649,282,503,649,500,502,800,16,503,501,500,282,282,500,800,501,501,502,282,3,649,16,490,503,649,649,500,800,500,503,282,501,649,503,504,503,500,504,501,649,800,800,649,502,501,502,107,282,649,500,503,502,899,100,732,165,500,800,649,491,501,649,503,649,500,500,800,502,504,502,500,730,186,649,649,500,282,649,503,502,503,800,501,503,649,338,501,282,19,503,503,503,649,501,16,436,649,800,282,649,503,649,503,800,282,502,503,82,500,282,103,665,282,282,800,500,800,502,79,502,502,16,501,282,501,800,800,445,282,501,800,800,502,502,105,705,504,800,501,501,649,800,16,503,800,282,649,282,500,800,649,649,500,501,501,503,502,426,500,501,500,800,16,800,649,502,503,649,523,503,800,502,800,282,800,649,800,800,282,501,649,502,500,649,936,649,817,501,502,501,302,800,501,501,502,800,649,501,426,16,500,649,501,800,800,503,725,800,500,501,896,502,502,503,89,968,800,16,502,502,502,501,404,132,649,649,16,503,16,107,503,377,331,500,503,939,500,649,502,502,500,107,501,500,501,503,501,920,503,649,649,502,800,16,278,753,649,282,500,649,649,16,501,501,800,501,502,503,502,501,800,502,500,500,500,282,503,649,547,501,502,282,844,502,243,502,500,502,282,503,16,500,800,16,103,503,800,593,282,501,501,140,282,500,503,500,502,649,495,500,44,503,649,500,501,503,800,502,282,500,649,700,207,502,800,503,649,502,800,502,502,800,800,502,649,502,503,572,503,649,502,649,503,800,503,198,500,503,503,503,502,501,800,282,501,503,501,504,502,16,16,504,501,880,800,502,502,800,503,210,500,502,503,502,800,502,800,503,502,503,914,282,501,747,503,382,800,502,503,800,762,800,500,649,291,503,501,800,649,500,649,502,137,501,504,680,649,500,500,104,587,800,503,16,664,504,800,503,800,282,808,848,145,800,107,500,502,501,502,501,891,502,501,510,282,282,502,501,16,501,800,649,649,503,282,282,503,500,877,800,144,500,501,282,508,800,503,502,800,502,502,282,502,502,800,501,649,502,500,800,502,502,500,501,282,800,503,800,800,741,800,800,502,649,501,649,800,800,800,282,649,729,501,723,503,501,16,800,501,501,503,501,501,800,503,282,649,501,501,749,503,768,502,500,649,634,629,649,823,16,500,800,501,822,50,282,496,500,501,502,503,710,503,503,16,502,504,800,500,649,807,503,503,501,501,501,500,800,500,501,800,800,500,503,800,455,502,502,502,501,501,500,500,16,55,501,649,880,502,800,800,649,501,800,500,282,800,502,501,501,962,532,502,500,501,504,504,501,16,282,501,500,500,599,675,503,611,856,800,500,501,282,649,800,500,502,800,501,502,282,501,649,502,500,613,107,597,800,502,16,502,503,800,649,501,503,800,800,502,502,11,649,502,500,463,1000,502,67,500,282,501,502,879,649,705,649,274,502,800,649,282,610,800,16,502,282,501,503,502,503,503,501,649,40,501,252,54,503,500,584,502,282,500,503,504,649,800,800,501,501,800,501,502,500,501,542,291,649,501,502,800,107,158,503,502,503,500,500,501,503,501,649,364,800,502,503,16,501,162,500,649,800,502,502,612,649,649,503,282,416,282,503,800,16,800,282,503,503,501,503,649,502,501,16,501,649,502,282,107,800,649,800,501,552,800,889,649,501,503,28,502,501,800,649,282,16,502,282,484,500,649,282,502,800,649,649,502,578,282,500,500,800,793,503,503,500,800,502,16,500,800,649,500,501,500,674,800,500,504,502,800,504,986,502,800,649,649,222,500,16,500,500,800,800,282,800,500,500,444,503,209,610,282,504,649,649,502,502,649,252,649,800,649,500,503,502,282,649,503,282,649,222,500,649,502,501,800,502,501,503,800,649,649,501,771,501,800,504,649,800,800,502,286,500,800,503,282,649,502,649,500,942,500,504,501,705,502,503,503,502,985,16,800,282,800,503,502,503,705,868,649,500,503,649,503,491,282,501,800,501,501,514,649,653,504,501,501,800,20,800,800,502,500,800,282,282,72,649,800,800,503,800,282,800,800,584,649,649,503,502,800,501,282,800,282,501,501,649,437,502,502,504,16,800,800,501,14,503,501,711,16,649,72,16,800,117,800,649,800,649,503,502,503,282,501,501,649,649,649,501,800,282,107,500,501,800,501,503,103,502,500,649,501,500,502,800,16,800,800,503,502,282,500,282,504,16,800,649,500,282,500,502,500,800,500,501,861,649,501,649,500,814,800,649,16,500,282,501,503,649,800,649,282,282,540,649,282,800,503,503,649,800,500,503,649,649,500,503,800,500,705,282,694,503,411,649,800,649,500,502,800,503,503,107,502,649,502,503,282,503,502,501,22,502,306,800,502,225,500,560,800,502,649,504,649,500,874,800,500,503,649,503,502,456,683,500,800,649,500,282,649,500,800,649,800,649,503,501,503,502,500,649,501,800,282,921,500,503,501,500,503,282,500,282,500,800,16,282,500,503,501,282,649,649,502,800,598,649,502,501,649,500,800,800,649,502,649,705,500,800,858,800,501,502,500,502,502,501,503,800,16,503,503,500,500,504,839,800,503,800,16,282,500,502,500,800,502,502,501,16,502,500,410,500,649,502,500,107,649,503,501,502,503,467,758,501,500,874,502,502,800,360,500,800,502,944,177,501,919,503,502,800,503,503,501,500,649,500,282,501,282,282,502,649,503,649,649,500,502,354,503,502,136,649,501,590,800,503,501,800,649,649,915,282,800,500,500,502,828,503,501,282,800,16,800,500,504,649,649,502,649,502,501,501,487,501,800,500,649,282,649,649,501,649,16,800,800,282,501,500,502,649,649,649,501,502,503,500,502,649,500,502,800,377,214,500,502,503,1,501,501,500,502,244,649,501,800,800,501,502,800,503,385,475,649,800,614,800,502,500,501,800,503,502,649,16,649,649,500,501,500,649,503,501,502,649,16,800,502,502,800,800,800,502,500,503,16,282,500,619,435,501,800,800,501,649,502,649,457,800,649,500,800,501,800,500,16,503,735,800,282,649,503,649,502,649,500,800,502,500,649,800,6,501,800,500,501,282,503,649,500,501,800,355,502,503,500,500,649,503,786,501,501,509,489,503,282,501,800,502,649,500,500,503,649,649,503,496,649,649,800,800,502,502,501,194,502,503,649,282,502,153,313,649,503,196,649,500,282,503,502,282,503,800,649,503,502,503,800,500,501,502,502,502,649,649,502,501,16,503,500,800,649,800,503,502,503,500,649,500,574,649,649,502,503,800,503,503,415,36,501,800,649,501,501,282,800,501,649,500,800,593,800,649,282,500,649,500,503,800,800,16,649,500,502,500,800,500,135,500,501,649,16,503,800,649,282,649,502,502,107,503,501,169,503,649,501,800,504,500,502,800,953,500,800,282,800,501,501,501,502,649,649,500,502,649,503,502,504,502,800,649,503,800,500,16,649,16,649,502,800,576,282,502,500,649,926,501,501,500,422,501,502,503,649,500,800,649,500,107,502,504,800,501,524,501,282,501,800,501,80,649,649,415,649,502,16,989,502,500,501,504,649,989,282,197,16,403,800,649,649,503,800,254,282,501,503,282,503,288,501,504,107,649,502,649,649,649,501,800,500,502,800,502,501,501,500,459,500,500,649,800,649,649,800,501,504,500,800,800,501,502,502,501,503,502,468,589,649,649,282,107,856,688,500,800,503,649,282,500,500,649,501,649,800,282,649,501,800,800,800,501,503,501,800,800,535,502,503,649,16,634,500,282,503,107,382,503,485,502,16,800,503,503,649,282,502,282,500,502,502,800,502,500,423,930,649,800,107,503,282,503,16,502,502,503,501,282,16,502,800,282,503,502,503,500,502,502,503,503,503,103,272,502,882,501,501,501,800,501,16,649,208,500,800,80,503,500,800,800,501,502,503,502,649,500,501,501,800,502,500,282,501,501,107,501,504,649,649,649,667,800,318,503,800,800,500,649,800,858,649,282,649,500,282,500,800,649,502,800,501,800,502,503,282,501,282,103,502,282,16,500,649,649,107,649,500,501,649,501,503,501,282,501,484,504,793,503,500,26,503,800,311,500,800,501,282,282,501,500,502,286,954,501,107,447,501,649,500,282,502,503,800,800,501,502,16,436,500,282,649,500,745,502,501,649,649,621,502,282,502,501,12,800,504,705,437,501,649,501,282,282,103,649,500,996,282,800,502,800,502,800,500,501,649,501,103,502,502,282,107,500,503,501,997,503,751,800,778,503,649,786,501,303,649,235,649,502,800,649,500,502,822,502,500,503,800,800,800,503,282,281,502,649,578,503,500,501,800,503,649,800,800,800,282,800,502,649,503,503,649,432,649,503,503,482,503,500,852,500,501,503,14,500,500,649,501,501,503,500,503,500,282,501,28,502,502,503,705,58,800,502,502,649,500,502,649,800,800,500,649,16,503,502,800,503,800,800,503,503,500,501,502,500,649,500,502,502,200,503,282,649,503,502,503,503,500,282,649,502,502,503,501,500,282,719,282,502,500,282,107,504,502,282,127,501,649,865,649,800,800,649,988,649,159,649,502,503,502,107,800,649,504,501,649,501,649,501,500,800,501,282,248,500,500,318,502,503,684,282,502,360,282,500,500,800,800,282,649,649,540,649,501,460,501,980,503,503,503,500,649,503,800,603,649,521,500,649,29,500,502,925,800,330,16,501,500,500,502,501,649,649,500,16,800,500,502,500,503,502,503,475,502,649,649,502,502,501,503,500,974,918,649,857,800,503,500,649,19,16,16,501,663,649,503,503,800,501,501,502,329,800,800,502,423,682,503,282,503,726,800,501,649,502,893,282,503,649,800,521,367,500,500,649,738,501,501,502,800,282,502,500,501,216,502,800,502,16,649,500,503,800,501,403,500,502,764,282,649,649,649,649,502,649,282,252,501,502,480,394,525,503,585,649,501,800,500,962,282,501,800,800,649,800,500,501,649,500,282,695,649,503,502,807,504,104,649,800,649,503,502,501,529,502,282,649,502,502,649,500,503,649,280,501,502,503,502,282,913,503,502,61,297,500,503,800,649,503,282,503,713,649,282,500,502,282,500,502,978,503,463,501,800,649,503,839,504,501,203,501,502,807,501,503,639,242,501,500,502,301,504,649,20,500,649,282,502,649,500,500,649,649,800,565,16,649,649,107,800,501,649,936,649,649,282,500,800,500,800,16,501,800,500,500,500,649,649,705,649,502,502,503,501,800,649,795,103,742,503,183,503,501,502,500,501,503,800,282,503,504,649,16,503,501,503,800,501,501,503,502,500,500,16,649,800,503,748,501,502,500,649,649,282,800,502,16,503,500,503,501,500,649,501,649,504,500,501,282,688,755,501,800,688,282,40,649,502,962,500,282,159,500,500,502,500,500,503,649,502,500,501,503,649,503,502,16,800,107,46,649,503,501,500,501,800,649,501,502,693,503,649,502,575,16,502,503,16,500,503,500,503,800,502,16,800,649,501,501,649,500,501,282,501,503,501,800,408,500,500,800,282,641,502,502,649,503,16,691,800,501,649,710,501,503,282,800,107,721,503,649,649,282,800,503,705,593,963,16,649,282,501,500,502,514,649,788,649,501,502,649,500,502,501,282,521,502,502,503,103,500,503,423,649,501,500,649,501,502,501,649,16,503,500,501,501,502,800,500,814,649,502,282,649,649,631,107,649,500,501,500,649,503,503,282,800,282,649,649,502,502,649,502,340,579,501,800,800,278,282,282,501,501,800,500,759,502,502,649,502,503,953,502,502,282,800,271,875,502,500,504,501,501,500,517,308,501,282,500,501,500,800,501,103,649,500,158,500,501,500,190,502,282,503,800,504,404,800,107,800,649,502,500,502,800,581,889,800,800,500,504,500,800,188,503,649,649,502,502,500,503,800,502,800,16,502,503,500,502,282,800,780,502,16,501,800,800,649,501,501,502,649,16,619,800,282,800,503,103,502,16,283,614,357,105,502,649,649,340,503,500,503,502,622,501,53,282,800,107,649,16,282,502,501,500,800,649,798,502,379,943,740,502,649,503,501,503,649,330,800,503,649,503,503,499,626,503,568,168,649,503,800,16,916,502,800,103,800,282,502,800,503,800,502,649,500,501,500,501,800,500,503,649,502,885,481,649,758,282,16,800,502,905,500,501,503,502,500,649,803,649,502,649,501,643,502,504,502,502,503,16,624,502,800,282,649,472,761,500,503,800,348,501,884,502,501,500,282,800,503,16,107,500,502,649,502,719,584,800,501,800,282,800,800,531,503,800,504,500,500,649,800,800,963,649,501,503,502,649,649,500,513,502,800,748,800,502,800,282,18,501,615,501,979,502,502,500,501,503,501,501,502,503,522,209,16,500,503,706,500,649,502,501,501,8,500,649,282,503,505,502,800,649,501,500,14,502,501,107,800,484,503,501,502,383,16,501,649,430,501,501,649,121,500,800,500,649,16,500,501,503,649,503,687,503,500,675,503,800,501,800,503,504,500,503,179,457,503,501,800,800,554,500,500,500,800,500,502,501,504,500,500,500,503,8,503,963,503,649,501,800,649,501,502,500,502,237,649,500,800,649,649,503,500,503,501,282,649,649,503,800,649,649,800,504,427,167,503,500,672,800,500,65,500,649,649,185,503,16,501,800,16,502,649,16,16,703,502,480,16,800,800,503,282,503,500,501,501,743,503,503,461,241,501,503,502,501,282,501,800,282,501,800,642,503,649,500,504,800,522,501,503,503,504,5,501,502,800,501,282,649,282,214,800,501,800,800,500,800,503,500,501,500,501,800,504,16,479,814,800,800,501,282,500,649,649,696,500,649,500,282,695,800,559,501,282,500,651,800,282,800,396,158,501,282,502,163,103,502,500,500,503,302,800,503,503,649,649,502,503,503,920,370,237,503,649,282,501,800,500,800,800,16,649,90,502,800,503,238,282,800,800,800,800,503,501,500,502,282,282,369,207,800,502,800,502,132,501,500,503,800,649,103,500,502,500,500,500,501,649,500,502,649,500,502,501,500,800,502,502,939,805,500,800,501,501,500,502,503,503,500,500,598,482,501,501,298,606,962,282,502,501,800,649,503,501,501,500,800,800,501,501,501,501,649,501,503,500,500,282,800,282,282,502,503,282,501,500,649,649,501,502,504,500,501,800,800,842,800,503,800,487,500,800,338,107,649,503,649,282,800,649,500,649,502,649,503,500,502,502,16,503,500,800,649,503,503,16,500,501,146,501,800,501,282,503,800,502,503,80,649,504,503,503,502,644,649,800,16,16,16,649,503,502,107,503,504,503,501,984,501,348,503,500,123,107,502,503,649,862,500,501,502,282,255,649,970,503,800,500,649,36,502,649,500,649,649,800,502,103,340,503,502,504,501,503,503,501,679,500,501,501,605,501,500,503,496,185,503,649,282,649,500,500,502,500,804,503,800,501,500,40,500,649,502,502,16,500,500,501,800,501,800,501,501,649,800,649,502,278,503,649,501,649,501,649,997,503,64,800,282,500,501,500,500,800,501,502,800,800,502,503,501,501,295,502,501,503,503,649,503,503,959,503,502,401,502,501,502,500,649,503,649,501,649,501,16,500,503,800,16,649,800,502,649,246,800,500,800,282,800,502,501,501,503,500,107,661,719,858,282,28,501,503,502,501,649,800,501,800,623,70,282,501,502,800,501,800,800,16,500,860,501,741,500,500,500,502,501,884,800,991,502,502,560,795,322,16,501,504,502,504,649,500,500,649,800,502,282,978,500,800,500,502,502,800,503,502,800,109,502,500,800,501,500,800,501,503,503,502,502,800,501,503,800,622,800,382,649,249,502,800,502,503,500,501,502,501,16,503,501,800,500,649,649,502,800,503,502,502,649,500,503,501,500,503,502,500,502,503,500,649,649,500,649,501,502,504,501,500,500,572,606,330,365,503,500,502,503,723,502,496,649,501,282,816,503,500,502,649,500,503,503,500,107,649,649,800,649,282,649,649,500,503,503,502,800,503,501,501,500,649,501,649,502,501,503,16,16,800,501,503,16,502,502,67,502,502,503,502,502,800,15,800,503,500,726,649,503,502,649,863,649,502,800,800,500,728,667,939,502,502,282,500,501,649,503,501,282,282,649,502,282,502,800,502,503,500,649,800,501,503,503,843,16,800,649,831,800,649,282,501,502,649,500,503,217,649,503,107,800,501,500,649,500,425,501,502,282,649,502,502,503,501,667,800,501,282,649,800,501,503,500,371,501,503,282,502,502,502,16,503,504,649,501,502,282,649,647,800,800,247,500,282,800,282,649,649,649,800,503,502,800,503,503,503,501,501,500,502,501,500,500,649,649,392,502,800,339,282,504,500,500,649,800,502,649,503,501,558,501,502,500,503,282,502,500,649,501,758,800,649,503,16,20,501,503,502,501,503,649,500,16,649,800,282,16,282,504,800,630,282,501,447,800,800,649,667,800,502,800,501,500,800,282,501,800,23,502,800,502,16,433,502,501,501,649,800,503,28,649,649,358,500,503,492,89,800,649,501,500,800,353,282,503,107,503,800,165,500,649,800,800,16,800,502,800,503,674,800,649,349,800,800,502,503,705,649,503,501,800,500,800,649,800,503,908,501,724,504,879,500,500,503,649,502,290,103,16,502,500,502,935,502,500,800,800,282,518,502,800,800,500,495,500,282,501,800,470,649,282,500,501,649,649,649,502,503,402,500,502,501,282,649,881,649,649,500,503,649,795,482,500,502,502,502,500,503,800,800,503,502,502,649,649,524,500,745,502,800,800,501,501,502,546,800,649,503,649,649,800,500,502,649,800,503,282,500,95,733,501,974,503,500,649,649,705,800,503,16,736,503,976,800,500,500,502,500,500,504,649,501,503,501,662,501,649,500,800,502,872,370,282,501,649,935,502,502,649,800,800,649,500,800,649,500,837,800,184,800,16,800,502,16,800,16,503,502,195,502,282,500,649,282,16,76,800,649,500,501,800,649,800,501,503,503,502,503,503,804,800,503,502,649,649,347,800,503,500,503,107,503,649,232,500,649,800,649,500,649,649,659,649,193,500,500,500,492,500,502,503,500,800,649,503,282,282,282,649,500,800,649,649,503,502,900,649,649,8,649,500,800,503,282,503,502,107,503,649,503,964,16,649,649,503,365,649,800,500,16,857,502,800,282,649,503,504,502,876,282,311,502,502,502,800,538,502,282,501,502,500,649,503,500,800,151,16,501,800,503,503,649,282,500,502,502,282,501,800,500,365,282,649,337,501,500,501,282,800,649,16,800,649,649,503,503,649,891,800,649,502,938,502,502,500,800,800,501,800,16,800,649,282,503,967,502,800,503,800,503,503,282,501,502,16,800,649,800,649,504,894,501,500,503,800,503,282,800,500,426,800,501,500,800,500,501,211,504,800,501,503,501,502,503,500,181,500,649,800,502,503,501,282,501,468,649,503,502,649,503,649,501,500,503,500,501,16,800,503,649,662,649,282,952,501,384,503,800,503,800,500,502,800,16,800,501,300,282,649,502,500,282,871,502,500,500,503,282,800,503,500,800,649,500,282,800,503,500,800,10,500,501,501,649,504,649,282,800,500,649,402,800,649,501,800,501,500,503,503,503,800,502,503,800,282,413,501,501,649,500,501,282,503,800,537,649,500,501,800,501,502,500,503,800,649,500,282,500,16,500,501,649,16,501,282,500,503,503,649,800,800,503,503,800,800,602,501,503,771,502,503,649,503,800,482,501,502,503,282,800,649,732,500,649,649,500,16,503,282,567,504,502,282,805,800,501,504,282,800,898,16,743,503,503,502,501,649,500,503,502,503,991,800,501,504,502,502,502,649,503,800,800,800,288,503,800,800,649,500,502,649,16,503,501,500,586,649,501,800,502,552,649,500,800,649,649,16,502,501,503,282,500,502,500,502,649,501,502,503,282,501,500,649,16,500,107,649,503,502,503,550,270,648,501,501,502,398,502,800,500,501,502,800,500,500,103,649,500,16,107,16,327,445,649,502,649,501,649,504,800,500,500,16,502,800,649,501,960,501,503,501,855,649,255,502,503,501,229,649,501,800,649,282,503,500,501,502,876,500,500,812,16,475,502,282,520,649,500,502,501,501,502,800,501,649,500,800,649,502,503,728,282,503,372,649,649,807,500,649,649,501,503,800,501,800,649,458,800,800,103,500,16,736,500,800,503,501,500,800,649,649,503,503,649,503,500,502,502,800,800,502,501,502,649,265,502,503,504,649,501,282,705,800,649,800,501,500,500,503,501,503,471,16,800,503,800,282,502,500,649,800,503,649,649,800,400,502,502,500,649,649,501,500,649,870,500,500,500,800,282,649,501,959,500,501,500,318,501,502,501,282,377,107,502,501,501,800,500,800,503,501,500,502,469,502,891,500,800,223,500,500,805,503,649,501,502,501,501,16,500,502,503,800,649,503,501,282,503,282,501,800,16,932,500,771,501,501,503,282,282,500,504,502,920,503,649,504,503,501,500,502,503,502,501,591,16,500,501,800,501,800,503,963,500,649,503,503,198,649,501,502,500,649,16,500,223,501,649,502,649,502,649,376,501,800,500,503,503,282,174,500,501,501,500,107,575,501,503,800,800,502,503,503,503,16,282,500,501,500,800,500,502,503,500,500,800,500,800,501,649,502,707,800,500,501,502,282,582,649,500,800,502,16,501,501,649,501,317,649,502,588,502,501,500,502,500,800,501,500,649,504,502,501,282,500,500,609,500,502,282,800,502,503,501,503,800,139,881,501,501,500,649,649,800,501,502,501,502,47,502,503,501,624,282,500,500,500,501,294,538,590,500,502,501,649,501,501,502,500,502,502,800,503,500,649,800,450,282,501,282,104,800,501,501,16,800,501,282,503,16,282,502,282,228,800,501,500,500,365,16,503,503,16,501,500,16,800,503,502,103,649,896,502,800,500,434,282,800,503,649,500,503,649,100,501,885,501,282,767,503,502,501,500,502,500,800,502,282,800,500,137,503,282,502,649,500,502,503,502,282,85,800,806,503,282,649,117,503,602,282,501,16,503,500,247,649,502,800,800,500,56,502,115,501,502,428,649,800,500,500,787,500,500,501,501,501,503,649,649,501,282,649,687,800,500,502,161,800,502,800,500,282,503,800,649,884,792,649,282,501,800,800,707,500,503,856,500,502,800,502,649,501,503,730,503,282,800,502,649,800,649,259,502,649,776,501,501,107,649,500,503,502,649,56,649,502,322,502,649,16,500,500,679,501,122,503,500,800,502,282,282,800,503,800,501,800,504,800,764,502,501,502,282,800,500,138,503,500,503,501,500,783,502,307,501,800,500,809,103,502,502,649,16,824,649,800,548,649,67,500,649,501,282,502,503,503,282,503,502,500,800,649,501,800,500,503,501,500,800,503,825,649,503,16,800,502,550,503,500,501,501,500,502,908,282,800,16,800,501,353,649,501,502,649,800,500,503,762,501,502,500,502,282,282,607,503,800,36,16,501,649,502,502,649,502,649,503,354,470,503,500,502,502,502,800,282,807,811,500,282,502,502,501,649,800,500,502,843,649,282,501,58,500,501,503,502,502,649,503,500,107,800,501,649,502,649,503,503,106,649,501,282,500,16,500,800,710,501,501,498,16,500,649,502,503,504,501,503,500,502,800,800,282,283,800,502,649,800,880,501,500,502,800,503,649,501,501,843,503,502,501,501,503,16,282,327,501,502,502,501,649,236,501,500,649,502,500,649,502,282,503,503,503,800,500,16,502,800,501,503,649,800,800,649,800,500,500,503,504,649,16,282,649,282,503,649,500,502,502,282,503,503,500,438,800,503,502,503,282,619,649,800,16,501,782,501,649,501,503,500,649,500,649,849,504,500,512,502,282,282,501,501,502,503,509,800,411,500,541,501,501,282,16,197,500,800,818,503,501,500,879,800,649,800,170,342,614,502,282,890,649,800,503,282,800,649,501,500,169,649,649,502,800,649,502,649,504,940,502,503,107,349,649,501,107,649,649,502,502,282,716,502,500,649,307,502,282,501,635,800,500,500,16,500,16,100,800,16,88,107,649,282,501,500,501,800,503,502,649,800,501,502,800,354,502,16,501,649,501,800,500,500,649,502,800,282,576,501,500,649,502,380,649,501,500,502,867,503,503,800,649,649,503,501,649,501,504,501,282,79,800,693,502,483,16,649,800,800,887,649,282,503,500,502,800,800,16,572,800,503,800,502,501,649,649,501,503,503,501,103,11,641,504,500,500,800,282,282,800,501,502,503,501,16,16,500,649,649,502,502,282,503,282,649,888,282,503,282,500,503,649,282,100,649,800,896,649,501,500,800,282,501,501,649,501,830,502,649,502,501,502,800,470,800,314,282,649,502,500,500,501,649,500,800,282,649,649,502,500,502,800,800,16,502,501,502,502,103,501,800,501,198,649,800,501,501,800,599,107,501,501,800,503,504,282,810,503,500,502,504,649,800,650,282,501,500,501,503,501,800,705,503,503,265,649,405,649,649,16,366,501,501,282,821,800,318,635,649,800,649,800,500,500,501,649,502,800,503,649,800,800,501,800,503,501,981,800,502,649,800,503,501,501,502,910,503,649,500,16,500,938,649,503,649,502,107,502,800,501,500,503,16,800,500,501,501,649,500,502,502,589,626,502,500,800,500,800,16,705,500,502,649,282,649,503,502,649,649,502,501,502,282,501,16,649,800,127,502,282,503,503,503,502,622,501,800,649,501,649,649,392,500,502,800,501,503,800,502,282,795,500,502,299,502,800,800,502,282,501,502,649,636,504,500,278,282,500,800,500,756,649,649,649,501,649,502,501,503,666,501,800,282,502,769,649,504,503,503,501,24,282,16,502,502,503,16,973,503,124,800,503,500,503,501,502,503,375,248,649,502,500,503,500,500,471,649,282,503,503,282,500,502,649,502,807,503,502,800,16,282,502,502,503,800,501,502,540,501,503,502,176,502,649,500,649,501,501,649,502,649,503,502,501,502,502,800,500,282,501,299,503,500,649,282,501,462,16,649,502,800,282,649,282,649,800,649,503,649,500,503,502,282,649,502,800,501,502,800,504,501,500,649,282,649,504,800,649,502,800,800,649,501,649,500,903,503,649,502,800,502,649,107,649,502,502,800,800,186,756,242,503,502,503,503,504,500,501,500,502,16,800,649,800,282,500,503,773,649,649,503,649,501,501,800,57,500,16,282,107,679,681,503,502,500,649,649,500,500,500,649,800,459,501,649,503,501,649,800,649,501,800,501,910,502,501,282,649,500,800,282,800,503,800,800,81,501,365,501,282,502,649,16,504,501,503,503,649,800,881,502,502,502,873,662,649,502,282,649,800,901,16,282,502,502,800,282,501,500,282,503,500,800,901,503,503,649,503,501,500,500,503,502,282,502,843,500,546,800,503,503,800,501,500,282,503,268,503,838,16,500,53,649,107,501,502,500,501,459,500,282,282,58,282,502,500,529,502,502,502,282,500,800,503,320,503,501,800,282,800,49,501,649,503,500,816,501,503,800,649,502,800,500,502,115,500,503,502,625,502,649,649,649,16,503,501,502,800,501,282,502,502,500,500,500,500,337,504,503,649,502,649,649,501,282,500,800,501,107,800,366,502,500,800,450,649,503,504,363,800,503,289,500,116,501,502,255,649,301,649,640,501,800,136,503,500,503,273,501,800,800,500,502,649,501,501,502,503,500,501,503,501,282,649,800,800,504,882,649,501,500,649,649,501,649,800,451,503,504,800,394,282,504,504,500,800,649,649,502,501,182,502,649,501,502,503,649,500,649,503,501,800,502,672,800,649,987,800,800,282,503,225,282,502,649,502,800,502,282,282,502,800,122,111,501,501,503,502,649,16,501,502,458,144,503,16,504,16,500,501,501,649,501,500,501,800,800,501,708,501,501,500,502,16,827,16,800,500,502,649,503,501,649,649,339,395,502,649,649,916,282,649,500,502,282,500,500,502,501,503,500,502,125,503,503,649,501,649,649,502,503,500,502,503,773,503,502,500,649,16,502,503,589,501,800,800,800,607,501,282,107,502,503,501,800,502,800,502,800,500,800,501,513,500,501,500,503,501,503,501,500,502,501,523,500,800,94,804,502,649,800,282,16,800,503,822,800,800,502,282,800,503,500,502,649,466,282,501,61,282,501,502,107,503,502,503,501,500,501,504,282,589,501,649,502,16,16,501,800,503,606,282,500,500,282,500,502,501,500,503,649,800,282,500,418,500,800,501,282,504,501,126,503,503,649,16,282,16,503,649,282,800,800,503,649,282,764,503,503,649,502,500,501,502,504,501,649,500,502,500,649,282,800,369,649,800,500,502,501,500,282,649,437,500,748,800,424,16,503,502,751,895,88,649,500,282,649,500,800,500,501,503,681,649,503,501,831,502,501,501,500,800,282,765,800,16,503,649,649,835,282,649,443,502,649,800,634,500,750,800,800,800,503,800,649,800,4,501,500,282,282,649,16,503,501,282,116,649,16,502,503,500,501,503,503,501,501,980,800,500,800,502,266,705,800,282,500,503,501,800,501,308,282,649,500,502,503,701,500,503,500,649,649,501,535,501,16,501,503,800,503,501,501,501,503,323,800,503,649,502,503,60,500,502,282,501,500,16,502,466,502,649,513,649,616,753,800,502,649,800,500,282,503,503,800,502,503,800,502,500,282,42,500,501,503,500,500,501,503,649,654,501,500,500,898,649,501,502,501,800,800,16,503,800,649,502,503,501,503,800,503,504,649,500,500,501,282,500,503,504,649,282,433,800,502,800,502,800,282,649,649,637,958,500,500,501,463,501,503,502,503,500,107,649,502,503,500,500,876,501,649,503,811,554,500,502,503,501,861,503,500,500,503,95,500,503,503,500,265,800,649,502,501,16,282,649,503,500,502,109,649,808,649,501,800,503,501,542,501,503,484,649,381,800,315,800,282,800,425,503,800,16,500,502,587,16,282,502,500,961,501,103,297,502,504,800,501,504,501,649,649,491,502,282,800,800,502,501,503,282,649,504,800,500,502,477,502,501,843,502,503,282,501,800,649,857,518,503,500,282,503,502,776,500,282,500,502,541,800,502,501,800,500,504,649,503,16,649,285,228,954,501,649,503,960,649,504,800,501,501,500,501,800,79,800,138,502,649,800,502,503,501,649,503,16,76,502,282,500,502,649,282,502,503,503,502,501,506,649,800,502,649,502,649,501,502,500,609,282,503,502,501,501,504,800,245,502,16,62,502,800,800,800,502,502,800,503,649,107,800,826,625,503,153,500,502,351,500,649,800,16,500,502,16,800,255,500,802,501,753,766,500,502,393,502,502,567,800,503,282,36,502,610,502,99,500,800,503,649,649,501,502,15,503,727,500,649,502,16,282,502,502,800,503,501,649,503,16,649,800,429,282,501,500,501,502,649,503,800,649,618,503,501,282,927,800,503,649,503,501,500,649,928,500,800,501,669,107,649,501,179,501,103,502,500,500,282,501,502,649,501,800,649,500,504,501,16,488,282,587,501,501,500,502,500,649,502,133,800,501,800,800,282,503,649,534,649,503,503,503,501,649,649,501,282,502,502,503,503,500,940,16,503,502,800,500,649,500,16,503,500,282,500,16,649,500,800,501,500,502,502,800,649,500,800,16,500,649,800,504,649,800,800,501,502,500,503,800,16,501,800,629,502,500,502,500,501,16,282,500,503,502,501,504,649,800,800,859,134,16,500,502,649,629,319,649,649,502,649,501,851,504,503,812,282,502,800,500,501,503,500,501,649,503,180,649,501,649,504,500,503,500,705,649,502,777,220,502,649,502,500,500,504,503,148,503,800,502,649,501,649,502,501,503,16,503,982,260,16,501,800,649,500,501,504,501,800,500,502,501,504,501,501,503,501,779,502,501,500,649,503,800,502,501,282,502,800,500,503,800,500,918,96,649,500,590,501,800,649,503,501,800,322,649,503,842,649,282,501,501,203,501,503,502,434,800,649,502,502,500,501,503,502,800,282,502,753,800,502,800,282,502,501,503,800,800,502,502,649,500,502,503,502,502,800,800,649,649,503,502,800,800,438,282,502,800,282,501,502,649,502,500,503,502,649,503,649,800,633,800,896,502,500,649,800,800,282,500,282,500,800,502,502,282,649,504,501,800,501,800,502,649,282,282,282,501,502,649,501,503,502,174,151,502,282,22,282,501,919,501,500,800,500,800,649,500,503,800,282,800,800,481,500,504,501,282,800,649,501,502,502,649,649,503,800,502,800,500,800,500,501,500,282,649,500,500,500,503,500,800,503,282,502,503,501,500,649,800,503,282,649,502,649,649,16,500,501,705,800,500,503,16,800,649,501,676,800,501,649,16,502,282,502,502,649,501,501,16,502,501,800,502,800,649,502,649,256,649,282,501,103,914,800,501,800,649,154,705,16,502,503,800,800,503,503,649,649,500,800,502,502,502,502,503,852,649,656,500,800,502,503,501,501,503,201,282,800,500,282,459,800,503,502,800,503,649,500,649,282,188,501,16,800,282,649,800,501,501,501,276,502,501,649,16,649,503,500,800,500,649,282,512,503,800,649,503,800,800,550,500,500,800,502,500,500,500,649,282,282,594,503,282,649,503,341,857,649,800,500,500,649,800,501,501,500,649,800,501,649,16,503,800,500,649,500,282,500,296,282,649,282,501,502,649,16,952,503,282,107,501,502,503,502,500,649,348,16,649,503,649,800,502,800,17,800,503,501,500,500,501,500,800,500,503,696,282,500,502,501,502,500,800,502,282,649,464,502,282,502,500,502,282,846,800,649,800,501,297,503,500,649,502,649,800,176,649,17,501,500,645,500,649,500,501,57,336,649,502,501,500,800,500,16,503,500,501,282,500,77,16,584,502,503,16,800,649,832,503,502,649,500,800,502,107,500,16,282,503,401,502,649,800,705,16,503,800,800,475,16,503,649,282,800,16,501,500,504,504,282,800,501,16,501,501,502,503,602,649,282,800,282,503,242,282,571,800,502,649,142,504,649,800,502,282,502,501,649,503,501,649,649,831,501,502,502,503,500,514,503,16,649,124,503,502,501,649,503,502,502,501,649,501,503,500,800,501,649,501,800,502,500,500,500,800,502,502,502,16,649,16,502,649,282,800,282,501,502,502,2,282,501,501,503,734,649,503,800,800,649,500,503,254,66,16,520,501,705,60,501,800,501,849,502,756,282,502,501,649,503,16,649,282,503,282,502,649,800,965,502,501,649,649,800,501,500,501,500,800,503,500,503,591,807,407,212,649,503,800,170,504,800,503,649,502,479,502,649,800,211,407,503,282,800,282,503,502,502,502,503,46,456,500,500,502,501,503,800,500,502,16,501,16,501,800,503,800,501,800,649,503,107,16,800,412,282,649,800,502,282,500,16,502,502,649,649,107,502,649,500,649,649,503,503,649,282,107,500,282,503,800,500,649,501,800,649,282,16,503,800,502,500,503,800,502,103,501,649,282,502,649,503,500,502,649,502,649,800,996,500,800,800,800,503,649,502,649,649,502,749,649,649,502,503,500,863,649,649,501,502,502,79,500,649,501,649,502,501,649,107,800,504,800,282,107,800,520,503,10,800,192,163,800,503,67,89,800,500,995,501,503,282,503,649,500,503,800,503,501,800,727,502,502,34,800,522,649,502,503,500,503,503,649,503,800,502,502,500,501,503,16,500,500,500,649,500,503,502,500,500,501,503,501,800,501,502,649,800,800,103,504,282,686,649,500,503,503,800,800,282,800,16,500,501,502,800,502,502,500,649,282,504,500,500,206,493,282,800,649,501,500,649,502,103,120,503,649,649,503,500,502,282,800,504,501,504,649,800,488,501,503,500,76,500,501,501,16,232,800,503,504,503,600,800,215,500,503,282,16,105,649,649,282,500,800,502,502,500,503,500,649,282,16,649,503,501,501,502,800,800,800,501,785,500,800,502,504,282,501,984,503,800,800,649,502,432,500,502,501,503,649,282,500,649,502,975,16,800,649,501,282,501,800,16,501,108,800,502,502,800,501,649,370,889,503,502,282,282,503,800,649,502,242,800,501,501,504,16,800,502,649,282,503,391,800,800,500,502,800,282,500,649,503,503,502,503,282,17,282,649,502,282,501,649,501,282,501,267,649,16,649,502,649,800,503,282,282,500,800,501,649,800,282,800,101,504,501,503,501,503,282,500,501,282,503,800,800,282,514,444,500,501,103,501,499,649,500,16,800,649,800,503,502,649,503,800,800,500,800,800,800,649,503,569,502,800,501,500,501,502,649,502,500,649,502,282,502,501,500,502,502,16,500,501,102,502,501,443,282,525,500,800,437,503,850,502,500,500,649,500,501,503,503,500,502,500,649,16,503,501,504,500,502,800,705,16,503,189,502,500,500,501,800,502,800,282,800,502,725,503,500,800,501,502,800,649,503,502,502,501,504,500,555,800,501,800,649,503,107,503,649,807,649,503,649,573,649,504,501,649,503,501,500,810,16,504,504,800,500,502,502,800,500,649,800,800,705,503,501,501,502,495,649,368,502,503,500,470,503,501,821,750,501,502,807,503,500,800,649,501,503,503,503,500,600,649,107,503,800,501,502,461,103,107,502,501,649,500,649,500,649,503,480,462,502,705,282,502,501,16,800,502,502,800,800,16,501,649,500,254,282,501,501,502,282,800,282,501,737,61,500,66,16,503,649,107,800,800,519,71,649,649,503,853,503,282,800,282,502,800,800,107,502,800,16,502,500,800,500,16,503,16,942,500,800,501,649,414,503,502,282,649,282,649,342,502,502,503,649,503,649,501,649,500,282,800,501,800,503,500,503,500,649,649,502,649,649,503,500,649,649,503,16,500,282,502,502,503,649,16,502,501,503,16,500,502,16,503,502,649,800,649,649,639,800,800,501,500,678,502,180,501,501,800,500,316,502,800,500,800,501,800,107,503,800,501,501,800,502,500,502,282,649,500,16,501,791,767,290,16,649,351,800,501,503,259,323,800,649,500,16,504,800,503,800,282,500,503,501,503,107,282,503,282,503,501,500,500,501,138,500,501,800,503,282,800,800,800,511,503,503,649,800,800,501,282,800,500,503,502,441,502,503,503,203,501,500,501,501,800,501,282,649,800,800,501,649,16,649,502,501,282,501,649,501,503,501,282,501,282,958,501,502,501,501,282,800,502,503,282,649,500,502,282,502,16,500,500,501,500,565,500,16,428,500,800,759,503,107,291,649,501,502,501,502,500,649,800,790,503,107,800,800,800,16,502,503,649,800,800,16,878,502,800,500,800,16,465,282,16,502,500,649,649,800,500,502,800,750,503,145,469,282,800,649,500,649,800,500,502,503,502,649,291,501,502,649,649,503,502,649,282,800,16,840,282,503,649,800,649,800,504,500,649,282,501,649,504,800,501,179,500,649,18,501,64,800,500,282,926,800,800,649,649,500,800,282,800,501,800,500,502,649,501,72,503,649,503,363,282,503,501,649,800,282,649,649,649,500,500,504,501,16,502,582,500,800,665,800,783,501,503,649,502,501,500,649,263,503,77,500,502,502,800,107,34,500,874,501,116,502,941,16,662,649,500,649,500,503,500,391,800,800,502,649,649,501,501,800,501,503,502,502,16,500,501,500,502,503,501,500,500,649,800,282,800,238,500,501,283,503,649,802,613,571,501,649,500,502,500,500,502,501,502,800,800,501,800,800,309,488,668,500,501,649,282,503,187,501,501,501,649,649,504,800,995,347,800,502,649,649,500,502,800,649,503,800,649,33,282,791,503,503,16,649,800,503,301,502,649,503,501,502,503,503,539,649,649,503,457,502,166,501,649,500,680,282,800,502,500,500,501,800,649,800,502,927,500,502,500,500,6,282,800,501,649,547,502,282,503,502,501,282,649,800,503,503,282,800,282,800,503,800,501,800,16,500,282,649,503,500,16,728,501,103,503,501,16,770,501,800,16,500,502,500,391,502,501,503,282,500,649,503,503,271,503,800,502,649,649,800,501,263,915,282,800,501,502,649,107,503,500,503,501,800,16,500,503,502,502,230,501,502,500,504,399,500,282,500,502,500,800,649,282,500,503,800,649,282,282,503,16,501,502,503,502,649,649,649,649,501,501,810,501,504,800,649,502,800,649,500,800,501,501,649,561,502,502,502,502,502,501,501,807,282,800,500,502,16,500,282,697,705,684,649,649,503,503,503,501,308,800,503,500,800,176,649,500,16,649,214,468,500,649,957,504,800,800,501,80,649,800,800,500,500,311,503,502,282,503,503,282,649,800,624,649,649,90,503,500,731,649,442,503,282,500,649,500,16,500,501,502,282,501,500,282,485,800,649,240,501,500,800,800,503,502,800,503,500,503,800,800,800,501,282,282,649,16,181,500,502,282,649,501,501,649,938,282,800,500,501,502,649,501,800,800,800,501,800,567,106,501,503,503,323,503,649,466,649,952,500,649,708,503,501,504,800,501,800,649,502,800,502,649,502,800,800,800,501,502,800,649,503,283,107,501,287,398,800,800,107,500,689,502,631,649,502,501,800,282,656,502,602,800,800,649,800,501,800,800,800,649,800,644,502,732,500,502,502,649,800,800,547,800,649,500,502,649,16,501,473,501,502,649,649,501,501,649,504,502,501,649,16,502,500,800,503,501,500,501,476,800,502,501,649,501,282,500,16,500,501,807,502,800,518,336,501,500,503,604,16,502,649,500,502,103,502,800,649,502,649,503,503,800,503,502,800,501,649,501,649,502,502,705,800,500,649,501,282,503,800,544,282,649,800,800,289,500,501,502,214,501,502,242,330,250,502,649,649,502,673,172,282,503,501,306,503,918,904,800,649,500,800,501,503,649,503,800,502,501,692,503,649,502,501,282,282,502,649,500,800,800,282,593,502,502,500,503,800,800,502,501,796,282,873,503,502,800,107,503,16,501,500,16,649,501,503,653,16,504,649,503,649,649,503,500,649,503,16,72,649,800,502,649,502,800,307,501,16,800,800,649,501,501,503,502,503,108,503,16,503,158,503,502,503,582,500,541,338,282,800,800,501,605,504,501,503,16,501,503,504,500,800,500,503,500,734,500,503,199,800,502,501,649,800,800,500,503,800,503,501,503,282,501,414,98,411,282,500,16,501,800,482,501,502,500,503,129,282,502,728,649,649,500,280,500,500,502,895,2,500,503,81,501,501,503,500,16,503,501,810,800,500,800,800,800,500,502,502,500,502,800,502,282,501,502,501,649,800,500,501,800,649,859,282,282,500,649,500,500,800,371,282,800,501,500,500,800,649,735,501,500,339,649,501,282,501,502,282,501,800,800,282,16,16,800,800,501,649,649,503,282,504,800,502,502,16,461,500,16,639,501,503,800,502,500,501,800,500,503,503,800,501,502,503,968,282,800,119,501,649,16,649,503,502,800,503,800,16,649,503,503,619,649,501,282,800,501,501,649,800,649,503,501,649,503,649,849,229,503,282,921,800,800,503,541,502,502,649,800,800,502,800,500,502,501,503,282,800,501,500,649,502,502,502,502,500,503,504,503,801,800,649,502,16,695,757,797,500,670,637,500,504,502,500,500,500,649,800,500,503,16,501,800,503,501,649,503,800,105,800,501,998,501,503,503,800,502,503,502,503,503,502,500,649,500,282,503,559,649,500,495,502,501,501,649,502,501,502,649,800,503,501,501,800,501,692,234,882,503,501,502,649,282,16,649,502,649,800,503,282,501,500,500,502,500,502,899,116,988,500,282,501,103,501,500,800,501,800,16,502,800,16,503,503,800,503,502,503,16,822,502,377,800,800,800,800,502,800,16,800,502,501,503,503,239,282,500,676,800,282,503,503,724,504,366,502,103,536,502,500,800,649,212,800,649,503,502,501,800,503,101,402,649,136,501,502,282,502,503,501,503,800,447,376,500,800,500,501,649,649,649,502,649,500,677,503,503,500,649,800,503,502,608,649,500,800,16,649,800,500,502,501,800,259,800,502,504,500,105,800,800,500,16,501,500,501,502,503,503,502,303,16,649,800,282,649,649,502,800,501,16,282,649,649,148,649,501,784,503,501,800,501,504,501,773,503,456,503,501,829,800,649,689,800,501,502,503,501,843,501,800,500,282,467,501,500,649,649,500,502,16,500,503,500,800,503,503,649,500,500,800,649,649,500,501,649,649,649,501,501,282,16,502,773,575,502,649,800,500,502,500,282,502,139,502,502,502,501,501,501,800,781,501,56,800,500,649,399,649,501,501,503,503,649,219,282,502,800,503,16,502,800,503,501,502,502,124,502,501,501,500,501,800,671,500,649,107,541,649,223,649,800,915,500,500,800,91,649,501,503,649,502,500,501,501,649,503,503,800,16,502,800,502,503,583,503,911,282,502,500,502,16,501,649,502,504,500,107,500,503,649,503,649,500,500,282,16,503,502,502,502,800,500,800,282,503,800,502,767,503,16,502,503,800,501,501,800,389,800,995,282,503,338,503,649,649,500,502,800,418,800,503,500,500,501,501,649,502,500,503,500,502,229,500,503,649,503,282,501,503,800,500,649,249,649,16,501,503,502,16,501,503,500,215,501,501,502,282,649,649,500,649,502,501,734,800,16,500,500,649,500,502,800,504,242,501,500,502,500,502,800,800,800,503,500,503,687,503,649,649,905,16,649,500,649,282,800,501,502,671,504,500,800,502,501,16,649,500,649,800,649,143,649,501,501,503,502,265,503,501,504,501,500,503,361,503,502,282,800,649,282,502,500,800,800,503,924,503,501,500,503,501,502,502,329,500,500,800,282,800,501,649,501,800,649,502,500,502,500,661,502,503,454,58,800,396,649,100,649,649,503,502,649,621,500,103,800,501,500,800,649,503,501,800,16,500,800,503,307,500,282,800,502,340,284,502,16,982,503,502,649,500,501,503,502,500,546,282,800,800,107,501,500,800,502,299,649,147,208,649,16,501,501,501,502,501,705,502,926,282,501,16,913,800,649,502,502,582,500,502,500,501,500,649,501,502,500,501,500,649,800,887,649,503,500,500,282,587,282,16,500,500,501,800,277,502,282,501,500,282,800,501,502,501,150,502,500,800,103,500,501,500,464,649,501,46,16,502,800,500,502,282,551,282,282,800,607,503,501,503,152,282,800,502,800,501,649,500,503,500,501,800,502,500,107,282,649,500,282,649,800,500,502,649,503,501,500,649,282,501,282,503,500,800,800,502,543,282,501,282,501,16,748,500,503,636,502,500,236,504,649,503,502,107,503,502,800,502,382,800,502,800,500,503,500,800,503,503,500,502,503,800,501,100,504,649,501,501,503,503,500,729,501,502,282,504,501,240,502,503,282,500,871,500,800,502,461,800,729,257,504,502,649,502,501,503,319,606,500,503,500,649,649,282,649,500,2,500,503,502,502,649,649,282,503,501,282,504,800,649,503,800,504,503,649,502,501,502,282,800,800,501,500,800,501,502,649,503,494,502,282,627,16,502,282,502,649,347,501,800,500,501,501,502,16,501,800,893,501,649,504,622,649,649,502,305,500,940,173,501,282,503,94,502,503,502,503,502,800,501,502,751,502,503,649,502,482,800,501,649,649,36,502,566,52,502,800,500,370,310,503,503,743,16,649,800,500,448,649,500,502,504,500,800,500,503,501,502,501,800,649,800,502,649,800,800,649,807,501,649,500,502,797,501,649,503,500,500,800,282,503,649,800,649,282,219,502,16,501,502,503,800,501,800,800,800,672,502,502,649,649,282,503,800,649,501,649,800,503,500,502,500,800,502,503,43,503,502,663,503,502,501,800,649,502,800,800,500,402,800,282,501,500,502,800,500,503,786,500,502,649,282,800,501,800,502,649,503,800,500,282,16,16,500,500,649,800,649,585,503,282,800,503,800,159,502,103,501,800,501,800,502,502,502,16,502,649,502,501,502,502,503,282,502,800,504,800,502,503,501,831,500,502,501,501,501,800,501,500,649,891,107,501,502,800,539,503,16,502,500,649,325,502,649,649,502,502,500,504,800,16,503,363,16,504,502,16,503,503,503,282,800,649,501,649,500,503,800,502,503,649,500,837,502,649,649,501,282,924,500,16,985,705,502,502,282,500,791,500,649,502,504,762,502,502,800,500,800,107,282,7,500,500,75,503,649,16,800,649,935,502,502,107,649,428,503,649,118,501,282,501,502,501,505,502,342,503,800,282,502,503,500,501,16,503,500,649,500,800,16,502,200,502,16,501,502,282,502,501,800,501,16,143,649,502,608,997,502,502,800,128,500,500,503,380,503,500,649,501,500,649,649,501,503,501,649,503,800,502,501,649,500,649,800,500,504,501,597,649,501,724,502,800,501,649,942,649,502,438,649,503,649,649,16,502,282,100,16,503,649,500,800,503,649,800,403,500,503,28,502,649,500,502,504,649,649,503,282,500,502,502,500,282,503,649,849,504,500,500,649,800,649,800,800,503,501,649,649,282,800,502,649,800,503,235,282,103,503,987,502,503,800,504,282,500,490,649,500,502,500,917,282,649,282,379,770,800,177,504,503,501,501,500,800,500,500,500,500,518,800,964,503,501,403,814,501,649,502,503,503,501,282,500,282,501,314,500,649,800,800,800,503,502,386,799,503,502,502,16,368,16,500,800,503,503,501,502,649,800,282,638,559,502,800,720,500,340,649,500,800,282,503,800,501,800,503,649,500,800,649,649,103,501,800,503,800,800,501,502,649,502,502,800,800,102,543,503,503,16,503,501,503,107,502,502,16,7,501,500,523,502,282,503,501,649,103,800,503,649,500,500,649,500,501,649,669,649,107,282,501,649,501,649,282,503,502,503,649,16,503,501,282,503,16,761,503,501,800,157,501,503,758,503,282,502,501,502,500,501,800,800,500,800,503,800,649,503,282,649,607,649,502,649,501,800,500,800,590,282,500,800,504,501,503,500,502,500,649,500,282,503,500,800,500,649,500,503,503,282,649,503,800,501,800,282,649,282,385,649,800,502,503,500,282,20,501,500,282,500,502,282,649,503,800,500,282,501,282,503,476,649,501,500,994,649,274,502,502,500,500,649,759,502,500,500,649,649,800,100,501,800,501,503,649,500,877,282,437,649,800,800,282,502,503,897,965,107,503,649,649,502,282,107,649,411,800,16,500,501,375,265,503,502,585,502,20,501,800,501,16,500,503,282,500,501,500,500,503,800,160,139,649,500,503,649,387,282,649,503,16,503,500,501,503,804,800,502,501,501,800,16,800,501,502,500,890,800,500,649,282,649,501,501,500,800,501,503,500,649,649,501,649,282,500,503,500,16,800,282,341,502,800,502,16,502,702,649,503,800,503,502,649,500,649,282,649,503,649,503,649,16,502,800,500,649,800,502,503,501,503,501,503,352,501,502,16,800,402,800,501,800,500,649,502,502,500,501,184,500,800,503,282,800,503,500,16,649,500,800,503,503,502,500,500,502,68,103,501,502,649,800,265,501,503,503,501,29,501,800,502,502,800,500,500,502,232,501,500,107,649,800,500,282,502,649,503,502,16,502,649,282,282,282,500,502,16,282,500,649,502,649,649,500,649,282,503,778,503,501,503,503,800,107,649,503,16,504,282,500,500,36,649,500,502,503,501,649,77,500,800,554,503,800,649,501,502,502,501,500,503,16,800,800,282,503,16,503,502,504,503,502,852,500,502,502,282,501,503,800,502,649,502,106,502,664,501,800,800,649,649,501,501,501,282,501,649,501,502,282,649,649,112,503,282,649,909,502,482,503,443,800,282,800,502,649,501,800,500,800,274,502,503,503,500,493,800,503,800,16,649,501,501,501,502,501,503,502,500,503,500,653,501,504,649,654,502,501,800,503,504,282,502,247,262,503,500,265,500,500,800,131,800,501,500,649,503,282,192,282,500,504,322,501,16,503,800,16,502,282,282,503,503,222,282,502,501,800,502,705,500,503,501,502,503,649,500,800,282,282,503,500,500,502,800,282,501,375,800,500,282,500,502,649,501,501,502,800,504,826,501,503,500,500,503,500,500,502,503,500,649,500,501,800,490,800,501,282,503,503,502,800,503,502,500,649,282,501,500,686,501,83,501,503,503,800,501,800,443,800,925,800,500,503,504,503,502,502,500,503,501,649,800,282,500,800,800,502,502,502,923,500,502,503,800,502,649,649,501,800,282,501,847,503,649,800,700,500,744,502,649,649,500,606,502,649,649,500,503,800,502,502,971,800,502,649,503,501,719,500,500,501,502,503,502,282,16,282,501,500,410,502,282,501,986,503,596,500,876,502,996,649,500,282,275,800,601,800,992,500,800,501,800,501,502,649,282,282,500,514,649,397,649,501,501,502,851,653,839,501,502,649,800,649,649,800,623,504,107,502,800,500,16,649,649,649,500,800,503,769,282,282,417,502,16,501,500,503,502,501,34,500,503,800,500,282,213,800,501,502,800,800,501,283,501,502,649,16,500,649,989,800,777,705,503,500,503,107,649,503,502,500,503,800,800,501,800,649,501,501,501,611,800,185,793,503,503,282,807,800,503,649,392,500,644,503,800,503,800,503,357,502,800,589,595,649,501,800,504,282,503,502,649,501,800,800,800,800,502,800,282,16,649,503,501,931,501,502,800,500,723,800,503,975,502,808,501,282,908,503,282,800,502,500,500,500,503,502,649,503,800,800,504,502,962,500,550,282,501,500,661,500,502,163,501,501,503,62,422,800,520,502,501,501,930,649,500,502,933,937,502,500,502,502,16,500,649,502,503,500,503,16,649,503,503,503,503,185,800,649,51,500,738,638,437,800,538,502,500,503,502,500,500,500,500,500,500,500,649,688,649,502,282,500,500,649,417,503,800,539,503,500,800,800,800,501,500,502,501,502,503,501,103,500,503,287,500,318,501,501,649,649,282,500,800,503,500,500,282,800,502,800,800,649,224,501,800,500,282,501,649,455,502,16,502,649,16,503,501,500,16,649,500,110,16,800,16,800,502,649,16,500,649,501,60,504,649,254,341,502,800,800,374,610,503,800,503,502,501,503,649,501,869,516,238,800,282,800,502,502,503,649,649,649,504,800,500,800,649,503,501,962,500,649,842,502,502,282,503,502,800,800,359,800,501,649,500,366,649,649,503,16,502,649,649,502,114,649,985,500,500,503,800,621,500,639,800,800,500,282,649,501,266,800,16,500,649,502,503,502,800,807,500,496,649,800,501,501,282,800,501,502,649,649,502,501,800,543,501,800,502,649,502,800,503,502,501,651,649,504,800,500,501,282,503,649,649,746,503,501,503,502,938,501,649,899,500,501,356,16,503,502,649,500,502,255,800,800,649,500,649,503,500,500,649,504,526,649,503,502,501,800,500,503,501,504,649,649,649,501,649,500,503,282,649,742,282,282,500,649,501,500,649,500,717,220,502,282,502,649,16,488,16,289,501,282,500,500,501,915,503,501,282,562,501,800,503,807,282,500,737,502,649,501,282,595,649,800,364,500,649,16,500,501,800,649,500,500,228,670,923,800,590,502,282,503,282,504,649,502,501,503,103,800,500,749,500,282,615,500,646,800,502,649,500,16,502,503,503,500,503,503,144,649,501,800,500,649,296,502,503,282,649,502,649,503,502,800,502,282,282,800,649,282,282,502,649,502,800,649,503,503,800,800,500,649,502,501,501,8,800,500,502,504,501,800,800,502,800,502,649,502,649,502,16,503,649,500,807,501,800,16,992,503,500,503,649,500,107,503,503,501,800,680,503,501,502,649,501,677,649,800,790,800,501,503,500,503,649,502,800,501,649,503,500,501,503,501,42,502,502,750,16,649,800,500,503,503,16,690,502,500,502,500,500,649,649,502,500,282,503,649,755,502,501,17,967,282,649,500,16,649,500,649,800,501,800,800,500,501,926,501,649,800,649,649,501,503,649,502,503,800,502,649,501,800,435,800,501,501,800,502,503,642,500,501,800,185,501,282,502,636,503,501,503,503,501,503,501,649,732,500,781,282,502,16,500,282,502,704,16,359,271,649,800,649,800,502,500,63,501,649,500,503,501,500,501,501,649,930,800,649,500,500,598,232,649,501,649,800,282,649,500,800,501,16,649,649,500,699,500,502,501,503,282,946,503,800,705,501,649,503,503,501,500,503,800,800,501,800,649,103,503,649,800,502,800,500,503,502,502,800,852,649,260,502,649,502,500,503,500,500,500,282,649,500,16,649,503,282,503,649,502,800,649,307,500,282,282,282,16,503,282,452,504,649,500,503,502,282,649,503,502,12,16,800,502,800,800,502,800,501,501,503,501,328,502,501,650,500,800,649,501,649,503,649,257,501,649,503,282,649,502,502,500,503,501,500,503,501,318,800,800,649,500,501,501,502,500,282,500,800,282,503,649,800,800,39,800,649,504,501,501,227,500,107,502,502,503,504,503,502,500,504,500,501,800,502,800,800,501,705,503,500,500,503,649,500,656,282,282,800,501,649,501,500,501,800,503,503,501,500,800,422,502,282,502,502,503,16,503,800,501,503,500,501,500,800,800,504,800,631,501,500,500,500,800,500,500,503,500,649,502,502,800,501,649,501,649,800,501,500,503,649,252,472,500,800,649,503,374,500,502,503,501,800,501,500,502,503,501,654,501,500,503,502,502,800,800,502,500,282,800,500,502,800,502,640,500,694,503,649,501,275,502,282,500,649,501,501,107,502,504,502,649,500,500,500,503,502,800,797,649,649,504,503,501,500,649,500,807,699,501,201,501,501,16,584,502,501,502,502,730,503,502,649,500,502,501,502,282,309,282,503,520,649,500,800,800,282,500,501,502,282,500,502,503,503,500,502,503,502,649,501,503,503,16,500,502,503,282,800,800,800,282,500,282,560,649,501,501,519,100,705,282,649,503,234,500,502,649,649,500,482,503,503,800,800,198,503,649,649,500,500,282,649,649,964,503,501,503,500,502,501,500,649,649,282,649,649,282,776,500,282,282,503,502,800,354,502,500,500,649,501,103,800,543,503,649,502,500,388,329,503,800,649,800,107,502,503,967,210,503,282,800,503,502,596,500,502,282,500,500,502,501,501,501,649,503,501,282,282,502,800,503,831,501,282,503,282,502,282,503,979,160,500,257,16,800,340,649,16,500,800,503,800,500,649,282,649,501,265,800,500,107,502,501,503,111,868,501,504,774,800,282,800,348,502,251,540,163,501,800,502,500,504,500,503,649,500,649,503,500,16,649,238,800,501,800,107,502,502,501,501,649,503,282,502,504,838,107,800,282,500,936,500,649,501,500,649,649,800,500,781,800,282,800,103,501,646,503,800,500,800,335,502,800,649,437,277,503,500,649,800,502,282,649,649,502,16,500,501,649,282,355,501,503,282,800,500,502,107,16,649,502,800,800,500,16,800,503,502,282,501,501,504,502,501,282,502,282,800,501,501,503,313,781,501,502,649,162,791,501,800,149,502,537,392,800,502,500,500,733,313,502,800,500,16,503,500,502,503,16,500,800,500,800,501,500,501,501,800,282,772,282,502,502,282,503,500,500,697,503,649,503,502,503,358,501,282,503,550,649,503,282,419,649,500,503,649,800,503,500,503,800,563,500,502,504,502,500,503,503,501,500,502,501,501,16,82,16,649,676,500,500,503,649,500,282,282,800,649,25,503,866,800,500,282,503,282,501,501,397,501,282,649,501,649,16,502,502,800,179,800,502,501,502,503,503,503,502,501,649,649,543,527,800,873,502,800,282,201,503,103,501,282,502,502,500,649,500,500,503,502,500,800,503,500,503,800,502,800,649,282,500,282,503,502,503,800,16,502,649,503,800,103,502,107,649,500,649,800,501,502,649,500,282,744,503,503,500,649,282,501,649,501,500,282,282,649,800,103,503,649,500,503,290,800,282,503,503,500,269,501,16,282,504,500,977,500,649,800,649,800,500,330,800,503,1,501,503,500,649,800,503,282,502,500,501,502,282,502,649,282,800,368,282,800,501,503,649,135,107,503,16,649,282,500,501,800,800,800,502,500,501,500,502,501,503,800,503,649,583,787,16,649,800,800,502,804,502,501,503,500,649,649,282,649,828,502,502,649,282,501,800,649,282,649,649,501,800,107,917,503,761,502,649,502,502,502,502,503,501,501,503,502,503,776,800,51,502,649,103,503,282,482,500,800,800,501,501,502,800,16,649,504,16,504,800,649,800,503,649,504,500,500,501,502,984,500,800,502,500,503,282,501,437,500,500,500,502,503,501,501,502,282,502,501,502,649,800,273,649,649,502,502,501,800,502,649,649,502,813,502,503,649,649,278,500,649,501,502,282,501,501,500,503,501,503,500,649,649,501,501,502,282,502,913,649,336,501,503,502,502,282,502,501,445,502,501,500,502,500,500,164,503,16,502,676,800,502,649,800,917,800,16,503,500,501,501,800,502,800,16,501,503,501,503,882,503,502,800,649,501,649,500,501,503,726,500,502,8,832,649,649,503,454,500,282,649,800,501,503,649,500,501,501,282,282,800,403,503,501,649,503,500,800,501,502,500,800,501,502,553,649,282,16,500,501,500,748,282,502,800,1000,503,649,503,334,501,503,502,504,649,502,503,503,503,502,800,847,866,502,237,501,107,649,502,649,501,282,500,503,502,282,502,503,800,282,502,282,800,649,502,501,503,501,504,504,501,694,282,649,503,127,927,501,649,500,800,282,503,282,282,800,358,649,800,503,16,282,503,502,800,535,800,503,500,282,282,649,503,501,502,503,282,367,715,800,649,504,501,800,502,282,501,400,800,800,503,501,554,501,649,94,502,596,16,502,282,854,502,503,501,649,503,800,501,800,501,282,501,507,501,800,500,912,501,502,973,503,500,649,503,800,557,800,501,800,503,500,751,501,501,503,649,501,501,649,16,503,500,800,920,503,500,503,649,868,459,800,649,502,501,800,144,800,504,527,800,282,282,500,502,501,500,501,502,503,503,500,502,649,989,503,807,800,282,501,501,800,504,503,800,500,500,649,107,439,546,502,282,501,502,501,282,500,501,649,649,800,503,282,800,290,552,649,800,16,282,500,501,800,500,103,503,649,800,800,107,501,282,107,501,800,503,800,649,800,503,94,282,800,16,649,502,503,500,800,501,16,800,501,649,282,16,507,500,800,800,503,501,503,500,504,800,282,788,502,500,503,501,503,800,649,599,501,502,503,503,649,500,800,501,501,871,282,500,800,503,500,503,501,501,800,502,649,503,502,503,282,649,282,649,500,501,649,282,502,604,500,502,900,500,500,649,504,282,430,501,659,501,500,800,502,503,282,501,503,800,500,500,282,282,503,501,503,649,501,504,502,503,800,649,500,503,501,16,800,649,649,800,800,501,502,800,107,33,503,490,503,501,800,649,502,282,757,501,502,501,649,800,649,649,503,500,503,649,500,503,501,500,649,502,147,482,500,103,503,649,501,282,282,38,501,503,501,649,501,511,800,649,583,501,501,501,504,500,282,107,16,501,649,420,649,502,504,502,649,503,503,649,649,800,644,504,501,503,621,750,501,503,500,503,501,500,501,502,92,127,503,503,503,510,649,861,502,800,282,501,501,502,914,502,502,502,501,412,649,500,503,649,649,500,501,16,105,503,16,649,502,708,649,504,649,649,800,504,800,156,503,649,282,800,800,16,503,503,502,800,649,503,503,502,649,649,16,864,500,501,800,503,500,500,16,500,504,107,503,500,349,800,503,501,800,503,503,282,503,502,500,503,16,500,501,84,503,503,649,649,649,800,649,649,500,502,500,502,594,649,535,649,501,800,649,502,502,972,502,339,649,501,502,504,503,502,223,500,501,649,500,800,500,800,16,501,649,649,800,500,502,800,649,649,502,282,503,649,501,649,800,649,595,503,501,502,649,501,503,501,649,501,800,566,501,649,649,800,503,807,367,502,502,502,282,503,501,608,800,649,649,282,501,964,500,502,800,282,501,501,503,282,500,503,855,16,649,503,503,501,502,500,504,500,282,649,282,501,503,502,502,503,500,800,649,502,503,107,252,503,501,16,500,501,800,501,500,502,649,892,107,621,500,546,502,500,500,16,503,16,800,500,282,800,503,502,501,800,282,649,649,800,503,649,501,502,500,291,800,502,788,985,546,800,16,103,501,502,500,800,800,282,502,500,800,649,282,282,502,501,282,649,501,463,503,502,501,502,800,800,107,800,502,714,282,493,503,800,503,501,500,502,501,503,800,649,16,649,500,800,800,501,649,503,800,16,16,800,501,502,649,501,649,282,500,20,649,16,502,500,751,502,500,16,282,800,800,502,501,697,649,593,800,16,800,500,502,501,649,503,503,501,501,282,502,501,502,503,500,500,500,282,654,548,504,502,502,503,503,165,503,500,203,800,16,501,649,649,649,500,502,500,282,649,502,501,649,764,649,501,500,502,649,501,282,503,800,501,501,502,800,649,501,234,497,503,503,500,282,502,649,800,800,500,501,491,501,649,500,800,502,800,500,649,501,500,978,502,500,649,649,282,800,272,500,738,800,503,649,800,649,503,500,800,764,168,966,500,16,502,500,581,501,503,725,16,800,503,800,282,502,649,502,800,649,500,500,282,502,500,502,104,501,502,649,503,282,282,502,502,800,503,501,985,103,503,800,800,500,501,501,501,500,501,502,503,502,503,649,649,500,501,503,282,107,649,800,501,502,500,503,503,317,503,503,649,649,282,553,649,795,500,649,432,649,649,282,800,649,502,501,503,282,334,502,649,500,282,503,337,502,500,502,502,500,800,800,800,503,501,503,502,282,103,466,504,222,500,649,502,503,710,282,614,504,817,649,407,649,800,800,503,649,800,649,502,503,649,501,503,500,500,491,501,649,282,800,16,258,317,504,800,501,686,500,501,500,800,501,500,464,649,800,502,16,501,503,800,501,649,992,800,649,508,502,501,328,503,389,502,942,502,503,500,363,500,276,500,800,502,504,800,705,800,503,807,504,800,502,16,503,16,501,771,52,753,501,282,502,800,649,500,649,800,800,494,649,16,800,800,500,673,800,800,500,501,995,830,649,503,501,943,800,289,800,649,649,587,501,107,800,16,282,282,502,500,282,649,800,649,649,502,828,748,500,670,503,800,800,800,503,501,500,800,16,649,502,282,504,800,282,800,800,90,501,502,501,504,503,800,107,128,103,635,501,502,800,503,501,500,500,261,282,571,503,16,324,800,500,168,282,500,500,282,31,800,16,503,649,800,800,800,16,800,503,500,501,16,988,649,504,501,503,501,501,502,800,424,649,501,503,771,800,107,501,800,861,649,800,103,649,502,341,800,502,503,649,501,16,834,800,503,500,648,500,502,502,504,500,500,649,501,649,674,500,502,503,106,500,503,649,800,503,500,500,501,800,500,800,715,16,502,500,504,446,502,501,395,107,501,503,800,863,500,800,800,800,500,282,800,501,800,502,501,282,800,501,282,169,282,502,503,503,411,501,649,504,800,33,800,503,354,501,502,500,232,800,16,503,501,500,500,503,587,282,500,500,593,500,503,649,345,282,500,649,103,502,800,158,268,501,16,502,584,501,649,800,502,502,500,16,649,502,800,503,502,503,502,649,649,501,500,500,503,800,500,503,649,649,649,500,500,503,800,502,503,800,503,16,500,500,502,503,649,500,501,800,502,649,7,501,501,503,503,501,275,649,282,649,850,501,649,282,282,16,847,501,282,501,649,282,503,800,504,501,649,649,503,502,501,501,282,649,503,502,502,16,500,500,502,282,800,649,649,800,16,649,501,500,502,282,282,501,500,503,783,503,501,649,502,649,800,503,800,796,16,800,500,542,503,282,649,503,939,502,500,503,501,502,649,500,501,800,927,500,500,503,502,649,500,107,502,502,649,502,500,343,501,526,503,78,501,649,501,502,504,649,500,505,501,800,500,800,137,503,649,649,505,501,501,502,649,800,282,502,502,807,502,282,502,649,282,850,500,800,503,708,887,501,471,502,502,649,534,501,649,282,649,370,282,16,500,800,649,282,502,649,421,649,763,500,649,502,501,500,502,519,502,800,501,800,282,503,502,50,502,282,107,502,501,501,16,800,800,787,649,500,800,649,500,502,500,501,500,649,16,282,800,502,282,502,504,504,508,649,501,500,16,500,800,197,502,800,503,800,503,503,371,502,800,502,324,647,649,800,501,500,501,501,951,800,649,282,800,21,103,800,588,773,415,649,649,800,282,502,48,500,503,103,282,613,503,501,814,502,775,892,649,500,503,282,800,649,502,800,503,649,500,107,500,502,500,501,800,501,103,649,501,503,502,503,501,649,800,501,442,649,800,16,501,649,282,202,701,16,501,501,502,649,3,503,697,503,501,503,800,503,800,16,16,501,502,282,649,502,500,649,800,504,503,800,501,649,649,800,800,503,611,864,550,649,500,501,649,503,397,517,924,502,501,800,501,501,501,501,649,800,500,800,500,705,800,16,311,503,649,502,282,500,500,503,649,158,503,783,501,503,505,543,800,800,155,503,501,649,649,502,502,501,502,343,503,800,107,16,502,501,503,800,504,501,503,649,16,500,502,501,501,501,157,492,800,649,500,502,565,500,282,502,501,54,649,503,500,501,800,503,649,282,502,504,800,856,500,503,237,282,502,500,649,500,444,502,500,501,502,649,649,800,503,649,800,308,503,649,653,501,502,649,800,649,800,649,503,876,103,501,980,501,800,649,501,649,800,718,405,502,800,502,500,502,649,224,500,649,502,282,504,38,649,282,501,502,800,282,649,501,503,649,502,920,649,502,501,500,504,501,800,800,16,503,16,502,282,929,501,501,800,649,16,501,500,649,502,282,500,102,984,282,649,502,800,649,649,800,500,800,504,280,282,502,800,503,501,501,501,502,800,501,501,501,501,502,282,659,440,975,502,107,502,503,502,800,800,502,503,502,800,503,649,501,500,503,800,16,500,700,800,282,422,500,503,649,500,502,649,191,800,107,500,800,705,502,503,500,241,649,500,503,800,500,282,107,800,502,502,503,800,501,800,103,501,649,429,771,503,502,503,107,649,502,800,800,500,502,503,16,502,649,502,504,502,500,502,800,500,403,503,800,649,500,502,501,503,500,649,970,500,503,500,503,800,503,500,500,500,502,500,503,501,503,500,800,790,503,503,767,501,503,282,503,503,501,500,931,502,656,282,503,504,840,630,800,501,503,800,502,502,500,503,503,501,765,649,974,835,12,649,503,282,16,107,649,503,502,504,500,800,501,521,800,16,800,503,502,503,649,503,502,740,500,502,649,501,503,501,451,800,649,500,503,503,504,500,649,649,649,500,298,282,800,500,503,800,282,502,282,786,715,800,500,503,282,649,503,502,502,500,503,282,501,282,501,501,649,390,647,719,649,500,800,500,501,500,502,649,503,501,500,501,800,16,503,107,800,100,501,282,501,500,503,501,500,16,502,501,189,800,649,282,500,501,503,500,649,588,503,503,501,282,649,649,16,800,502,503,800,86,649,282,16,500,503,502,500,475,420,503,500,500,501,500,34,800,500,502,16,503,503,800,800,649,282,649,501,649,800,501,502,649,649,500,59,501,501,282,500,800,501,500,501,800,800,500,503,500,123,503,503,501,501,16,282,800,107,282,501,500,800,501,502,649,503,501,500,501,800,294,649,500,282,800,502,649,500,502,501,800,649,16,501,649,503,282,503,500,503,500,503,500,800,500,500,475,282,502,350,503,504,503,282,649,41,649,800,500,503,503,102,501,800,649,501,503,649,502,800,471,503,800,501,500,800,800,107,763,501,649,502,502,329,500,90,670,502,16,503,461,502,503,649,501,649,503,503,502,504,500,500,500,649,649,41,501,282,500,800,503,800,800,649,649,649,501,649,800,282,502,800,501,800,649,501,649,16,503,649,800,502,649,501,282,362,649,800,502,500,503,504,649,649,503,500,504,27,502,500,800,502,500,800,649,502,500,16,500,500,500,501,357,503,500,649,503,503,502,502,282,16,800,282,800,503,501,503,501,503,649,504,649,649,500,649,501,502,502,501,501,501,282,500,649,502,502,476,500,800,649,502,800,503,501,800,898,504,503,649,800,800,649,501,649,502,501,503,276,502,500,800,503,16,16,800,503,649,649,503,503,282,503,503,649,502,504,503,405,16,282,504,501,282,502,649,800,502,812,501,800,59,16,501,649,890,649,501,282,502,232,282,404,649,503,103,502,800,649,16,800,502,501,649,579,869,468,501,500,501,800,649,503,800,500,566,501,502,800,502,800,282,503,501,503,282,502,502,800,503,501,503,800,800,500,358,800,282,16,800,649,500,649,501,502,16,501,500,649,500,501,163,500,706,800,639,502,501,503,952,649,501,503,500,503,800,282,800,649,875,800,500,800,16,504,503,191,501,501,649,503,482,500,509,503,502,229,649,356,502,501,508,500,502,502,800,757,681,282,503,502,503,16,649,503,282,800,282,502,501,503,649,501,502,501,649,500,504,282,800,502,812,612,503,503,649,613,502,503,800,501,503,502,501,282,800,800,501,501,800,518,16,649,503,500,502,800,500,503,501,103,649,504,929,503,502,649,268,800,504,500,226,502,800,503,503,500,500,500,500,282,503,800,800,800,504,503,502,502,500,502,502,86,649,501,486,501,50,500,501,504,800,502,500,502,649,503,501,761,907,649,800,501,649,963,316,525,503,500,16,108,30,649,16,501,800,800,800,502,361,502,649,500,501,649,800,500,800,500,649,800,800,503,649,800,502,434,501,500,501,503,800,282,501,926,503,501,282,649,800,649,649,504,501,967,503,800,800,800,500,800,501,191,649,724,649,16,16,16,504,800,649,800,800,502,502,501,502,649,502,503,500,501,502,500,772,487,800,649,340,649,503,282,47,800,379,19,500,609,649,501,282,800,107,800,502,502,649,800,800,282,354,504,282,96,800,503,502,649,502,500,282,800,800,503,282,253,500,417,503,640,649,503,500,16,16,649,502,503,649,800,800,503,800,638,800,649,503,500,649,800,502,502,500,500,649,502,16,282,107,501,504,800,649,27,503,649,649,500,800,649,501,500,501,800,800,16,800,220,502,503,107,18,649,502,103,800,800,504,500,502,282,649,231,800,800,649,502,500,501,503,502,800,502,557,447,282,800,503,503,500,500,500,806,412,800,501,800,500,501,16,503,649,306,502,696,337,503,649,503,501,503,503,502,800,800,501,500,282,501,502,649,16,501,807,501,649,502,500,500,800,649,500,502,800,282,649,800,503,502,501,501,282,501,502,502,16,502,502,16,500,800,502,503,226,649,503,500,501,500,649,800,503,406,502,196,501,504,500,500,500,103,502,800,800,502,649,501,210,501,282,501,500,282,501,504,501,500,282,500,500,501,501,502,502,781,649,500,503,716,983,800,800,649,282,282,282,502,801,800,250,414,996,282,501,800,502,502,503,501,649,16,502,501,314,282,501,649,503,503,282,800,29,501,501,168,503,4,800,500,502,501,500,159,500,503,503,500,649,649,500,424,501,501,649,500,972,500,502,800,649,681,649,800,502,251,504,800,501,500,815,16,282,516,502,649,890,649,649,502,800,800,503,500,16,103,604,800,504,649,649,282,501,282,504,649,500,800,501,503,934,649,649,502,503,41,462,502,502,502,282,501,501,800,502,221,501,502,282,503,504,503,500,800,363,649,501,103,503,950,10,649,282,800,800,500,576,1000,649,501,503,503,503,649,800,8,282,502,107,165,583,504,649,282,503,649,800,16,103,503,649,791,500,282,649,501,503,503,502,16,800,502,649,800,502,503,282,501,16,649,501,649,500,503,800,36,500,503,500,503,649,501,503,649,339,500,502,649,500,290,16,502,649,282,500,503,282,501,501,107,503,649,800,500,500,649,649,500,245,734,502,500,800,319,282,800,16,502,500,533,500,282,649,500,933,282,649,107,503,604,502,800,282,501,500,649,504,16,503,649,503,503,500,819,503,649,800,800,503,502,501,503,501,649,107,282,501,649,282,500,649,978,503,800,500,800,253,501,649,500,502,502,800,282,500,501,800,800,500,800,800,649,800,502,649,501,282,800,501,503,277,649,800,503,380,502,649,103,502,282,500,308,16,501,16,502,503,501,500,502,800,800,649,501,500,649,16,501,503,500,500,503,800,649,501,16,649,201,500,500,48,808,501,282,800,16,986,500,502,649,502,800,502,282,662,502,649,500,63,16,502,500,649,503,800,504,502,502,500,500,500,502,649,502,103,71,500,269,501,649,502,800,800,282,503,502,504,206,649,649,800,800,807,504,501,504,649,501,941,649,649,107,282,500,502,800,503,800,501,503,503,649,522,335,500,503,800,501,503,501,282,276,500,502,649,500,649,502,800,698,500,800,504,502,502,500,500,500,649,504,500,503,503,501,503,650,501,502,649,857,800,282,502,649,502,502,282,503,500,591,705,500,500,800,500,501,500,282,800,649,502,800,503,800,282,502,16,502,242,500,649,502,991,500,800,649,53,504,501,503,84,501,501,503,502,651,800,503,500,501,649,501,502,974,542,501,503,649,282,649,81,649,503,649,502,392,603,328,243,503,504,501,500,500,501,500,501,504,502,500,500,649,503,282,503,502,282,503,800,800,282,500,503,504,103,282,966,503,107,800,503,800,800,4,800,282,503,800,502,502,800,394,885,16,500,705,420,503,800,649,649,503,649,504,502,500,500,649,107,500,282,502,800,503,503,673,503,649,503,649,649,500,649,282,297,107,282,282,501,100,649,800,800,800,282,800,649,649,800,800,501,500,649,500,572,501,502,649,501,649,501,503,649,503,503,503,649,13,103,500,800,501,500,501,800,370,502,501,501,502,501,888,800,282,500,503,503,800,500,282,786,504,800,502,502,501,501,500,503,503,282,800,501,500,107,440,501,800,748,503,500,504,343,503,501,503,800,282,503,500,500,649,800,599,502,649,800,864,501,500,16,502,800,203,501,500,504,649,500,103,800,800,282,649,501,504,502,503,800,501,649,115,282,649,649,500,800,649,800,502,503,282,500,16,465,500,800,282,500,707,649,913,502,501,503,502,800,22,502,503,649,282,501,502,649,705,502,800,16,800,501,500,503,502,503,649,503,501,503,686,659,282,500,800,800,502,500,502,502,800,649,282,502,649,502,800,501,502,501,501,702,502,649,800,282,649,455,503,800,583,500,362,501,500,800,503,501,649,502,885,502,800,16,503,649,800,649,110,168,16,500,502,502,800,501,501,500,501,500,500,800,638,500,502,501,649,649,649,800,502,503,501,179,503,282,649,500,800,500,500,16,324,800,503,500,502,649,649,503,501,282,503,503,502,502,501,800,649,282,501,500,649,501,502,500,800,501,937,800,860,502,500,282,649,500,502,502,502,649,800,800,649,503,649,649,500,227,800,649,501,500,800,502,503,503,503,874,502,649,503,282,503,800,16,249,500,100,282,282,503,500,500,649,282,503,927,800,501,282,503,500,502,501,502,502,800,649,800,800,389,500,649,503,981,649,720,501,267,500,800,800,649,502,501,500,503,503,502,503,503,800,501,504,282,649,16,649,503,800,333,649,502,502,282,649,502,800,503,501,502,501,649,503,800,649,494,800,503,504,625,500,649,503,800,649,500,500,501,428,557,503,282,502,503,501,502,502,500,500,107,500,502,800,800,649,502,800,502,503,282,887,649,282,649,503,501,800,800,676,503,649,800,502,503,500,800,500,44,502,800,501,816,649,568,502,503,500,671,649,503,501,501,503,649,282,502,503,282,500,503,649,649,502,16,800,502,649,502,649,649,649,800,800,282,501,773,649,649,501,800,501,500,16,503,623,107,500,502,649,503,504,501,649,16,502,800,183,500,504,800,800,282,503,502,595,500,501,503,503,501,503,533,649,503,319,503,282,501,800,649,649,502,503,649,502,988,502,502,502,503,500,500,649,800,502,502,704,501,649,500,838,282,501,501,282,500,45,301,800,502,649,500,503,503,503,800,503,282,501,500,43,649,501,649,146,649,649,501,272,500,800,500,504,501,502,800,282,502,501,503,800,800,502,501,500,501,649,503,503,503,800,502,503,500,501,649,445,501,500,649,800,282,800,503,649,501,503,128,503,191,500,500,16,800,502,16,500,503,501,646,647,282,282,501,649,132,500,501,649,503,649,800,649,800,550,800,800,503,913,502,800,649,922,503,31,503,504,282,800,500,282,503,800,282,649,800,501,504,501,800,649,504,503,593,500,503,105,649,282,503,649,829,427,16,500,800,800,282,800,503,649,504,759,500,500,503,500,500,800,649,16,649,649,75,992,503,501,800,361,649,501,800,501,650,500,501,503,641,649,500,649,500,500,502,501,649,500,503,377,867,502,501,649,800,503,501,502,649,675,282,800,16,649,249,854,800,503,500,800,500,500,500,800,649,913,503,504,502,649,649,504,282,778,503,502,501,503,503,503,103,649,503,632,649,501,103,572,649,501,500,503,449,500,221,800,800,502,853,502,501,691,649,282,502,800,503,649,502,800,500,649,16,940,282,503,503,503,501,501,800,502,502,649,800,3,503,502,501,502,800,797,649,500,236,462,800,649,500,649,503,503,868,649,500,800,282,502,501,282,800,161,649,504,649,501,503,501,798,500,16,800,503,503,229,682,649,501,649,502,503,649,501,755,503,502,800,800,502,800,649,282,503,503,502,649,800,282,459,503,939,649,503,655,500,649,501,501,501,649,504,649,502,503,649,800,480,501,503,649,107,500,282,649,501,470,649,503,503,500,800,16,500,500,502,282,800,800,502,16,800,502,800,504,800,649,503,500,649,500,185,649,501,504,502,649,502,501,800,502,649,500,649,502,502,126,649,503,649,800,282,649,500,649,649,500,501,282,501,502,500,501,16,503,503,282,503,213,800,502,649,502,503,649,800,710,800,282,500,282,500,503,282,501,282,800,800,800,502,502,649,500,502,501,503,501,502,228,502,282,800,501,567,503,500,500,502,501,649,649,54,649,822,500,800,870,500,500,501,800,800,314,649,649,800,282,800,500,800,500,800,924,291,503,500,501,501,503,800,502,500,503,500,500,500,542,282,368,467,649,649,503,649,500,503,502,221,503,502,502,500,501,502,502,503,503,502,500,649,649,503,501,722,800,501,501,501,501,503,113,649,800,282,501,800,502,501,282,16,282,503,282,501,800,500,16,282,235,61,502,649,502,500,500,800,501,649,501,649,565,502,754,16,28,503,502,232,107,313,503,503,635,200,800,800,503,501,503,502,514,689,800,390,501,649,502,502,503,282,500,503,503,800,649,649,728,501,800,649,503,16,282,502,649,503,842,649,501,502,500,502,800,503,49,649,500,502,772,384,502,800,800,501,8,649,282,800,282,501,503,817,501,503,503,16,502,504,141,502,649,502,503,501,502,719,800,800,503,800,885,503,500,16,501,800,502,501,649,502,501,500,501,502,800,500,500,649,196,800,504,800,501,107,500,282,649,501,501,501,501,500,484,800,649,16,502,501,649,800,282,504,550,502,502,539,282,503,649,387,500,850,501,501,501,800,649,501,800,501,503,800,503,503,689,800,16,503,503,800,500,502,897,282,730,501,501,502,649,649,256,912,500,297,282,502,500,16,502,995,800,282,649,829,500,558,649,503,501,704,501,649,861,649,502,501,501,501,800,501,503,282,133,503,500,969,500,501,649,503,503,500,282,502,503,501,502,503,282,282,502,859,500,786,282,501,649,502,504,503,800,502,501,649,500,502,649,16,103,500,800,501,604,282,789,649,502,796,950,16,501,501,294,500,282,16,501,800,500,501,491,502,500,503,282,502,649,800,500,800,501,800,106,502,231,503,500,282,800,500,500,500,649,503,800,649,502,901,639,503,716,502,347,800,800,503,503,16,649,500,800,502,503,16,503,16,649,502,503,502,504,800,502,800,725,502,800,649,500,649,282,502,357,500,800,501,649,16,500,503,649,500,282,250,16,282,649,501,502,649,503,502,503,800,488,649,500,500,500,500,649,501,649,501,107,502,500,649,197,65,501,500,405,502,649,500,649,649,649,502,483,649,503,649,503,282,500,501,500,500,503,649,800,16,500,800,500,503,389,501,503,649,501,649,503,649,705,502,500,649,502,649,503,503,501,800,502,282,500,500,500,503,16,649,503,503,800,503,503,16,19,794,502,800,16,503,16,500,502,282,503,800,282,800,500,649,501,501,649,807,282,800,502,800,800,503,501,282,504,502,800,104,500,502,282,502,649,502,502,4,501,501,800,649,649,450,502,501,282,649,500,501,501,649,501,282,502,500,500,426,649,649,85,500,649,502,503,500,103,649,501,649,502,800,282,502,500,501,500,282,86,649,501,500,501,501,731,649,282,236,800,500,501,282,16,500,800,503,649,800,501,800,649,502,800,800,649,282,649,16,649,800,107,852,500,800,103,800,503,800,800,800,107,649,503,502,501,503,282,800,504,500,501,502,615,649,503,649,649,503,800,807,282,501,503,800,502,500,808,933,282,503,800,649,500,502,649,649,282,649,800,501,16,503,503,649,649,800,556,800,503,800,502,503,501,502,649,502,800,437,501,503,503,107,649,800,501,649,800,717,501,501,503,503,501,800,500,501,503,500,501,501,500,649,502,503,502,500,501,649,503,500,649,503,800,502,503,649,503,503,500,282,501,282,419,503,16,500,128,800,500,649,503,409,500,501,502,500,443,501,500,502,500,500,699,954,503,649,500,800,232,502,649,502,501,504,501,282,501,282,800,503,500,800,503,282,327,282,504,500,800,500,503,502,502,107,503,787,500,500,501,800,649,500,16,500,649,649,177,500,501,649,503,282,672,502,649,649,501,282,502,931,500,503,649,649,500,282,503,575,800,251,500,177,649,502,501,503,502,518,500,800,649,501,649,929,502,504,282,503,282,501,500,501,580,649,793,282,500,501,649,503,501,500,107,504,800,649,734,502,800,543,503,649,502,800,800,800,468,107,649,500,501,501,503,501,568,800,713,649,502,649,603,500,502,649,649,500,503,502,649,649,503,974,500,282,649,800,282,800,649,800,649,503,649,107,361,503,502,649,649,502,649,649,503,800,800,649,649,501,501,107,501,501,503,481,477,503,502,649,500,502,649,294,500,321,503,649,106,503,800,649,501,649,800,503,282,503,503,503,879,501,282,431,502,705,800,500,503,503,502,503,467,800,502,501,500,501,800,500,800,500,649,502,282,502,502,501,800,500,501,282,500,502,501,502,800,118,800,800,503,649,800,500,649,800,502,500,500,501,504,649,359,503,504,649,800,800,501,16,649,502,500,504,649,502,504,360,503,500,501,800,503,503,500,16,500,501,501,523,501,502,503,649,501,502,501,750,705,503,42,428,282,501,501,503,602,444,500,649,501,501,282,500,503,16,500,800,649,818,501,947,649,502,502,589,649,502,503,16,501,503,800,503,502,501,500,502,705,649,94,500,666,501,107,319,502,501,500,501,501,503,501,502,503,500,649,686,501,502,501,160,828,649,502,503,500,649,500,649,501,503,800,800,629,502,501,649,500,800,800,282,503,649,503,282,649,504,503,800,649,503,649,800,503,208,502,16,500,649,502,502,649,502,503,503,649,649,406,501,503,649,800,800,501,503,500,503,503,500,501,500,500,800,503,501,282,848,501,282,501,649,500,282,107,705,502,649,500,800,675,16,502,800,649,502,501,16,502,501,282,18,583,501,500,502,503,500,800,502,649,649,649,500,500,502,503,502,800,500,500,730,649,500,504,504,649,502,649,90,503,501,502,500,800,503,612,800,649,282,501,503,501,649,800,503,502,974,500,409,500,649,503,649,502,503,503,500,800,503,800,649,16,649,800,503,800,503,501,52,800,437,503,503,336,503,783,501,502,649,800,214,502,500,500,800,502,649,501,500,48,694,502,502,649,503,501,735,649,501,500,502,800,501,501,838,503,649,541,500,649,210,282,649,649,649,503,282,800,501,501,800,503,649,501,282,810,500,819,800,282,649,501,502,503,513,649,500,649,502,800,500,649,282,500,502,800,500,502,500,500,16,503,649,909,500,501,500,501,16,500,502,500,16,356,502,502,762,503,502,502,501,501,282,502,502,649,800,282,501,501,800,649,987,800,503,800,501,282,800,800,16,502,649,282,282,471,282,502,503,503,500,503,500,649,800,501,500,326,282,500,282,649,503,649,501,800,502,107,119,503,538,501,503,501,501,502,501,500,500,649,500,502,501,501,500,527,3,800,800,502,243,504,500,649,502,500,800,16,501,500,501,500,800,649,501,616,501,16,502,282,649,800,15,503,500,503,500,500,107,503,800,502,800,500,649,503,649,126,649,501,649,282,800,107,800,649,501,501,503,501,649,788,282,501,649,501,321,503,347,501,649,503,794,503,16,800,800,502,282,282,501,718,503,635,649,649,502,649,503,501,501,500,500,649,501,282,500,649,649,504,675,886,501,649,501,282,281,7,649,501,649,649,504,649,500,502,282,501,800,63,800,503,502,177,502,649,16,501,500,503,800,500,503,501,503,282,282,560,973,500,53,800,501,282,501,501,592,800,649,800,282,501,649,502,500,503,501,503,504,503,649,800,502,649,501,503,503,503,16,282,649,500,500,503,337,501,800,501,503,502,649,649,649,501,501,800,500,649,649,800,502,502,500,649,500,800,503,503,502,107,500,500,500,305,503,16,501,501,649,501,649,186,502,500,990,175,502,54,500,877,649,800,676,70,649,500,501,503,500,800,502,649,502,800,800,503,649,16,16,502,443,502,502,502,504,503,500,282,800,501,500,917,502,503,800,649,500,282,502,784,500,504,282,282,282,649,800,504,282,502,649,800,800,107,500,504,503,282,502,800,16,183,282,502,649,502,500,107,16,502,714,503,282,649,282,85,282,501,747,502,502,800,800,827,429,649,800,503,800,501,502,504,282,649,800,800,320,503,500,500,649,502,502,501,800,500,502,503,16,649,649,503,503,502,500,500,649,282,800,501,649,503,649,503,282,705,502,649,465,502,800,503,502,501,800,107,502,800,788,372,503,501,502,501,500,728,103,501,800,501,500,501,502,800,503,800,501,500,282,500,800,776,500,282,800,800,16,502,502,845,503,503,502,649,502,500,649,501,503,649,430,800,504,649,223,16,84,500,500,500,282,800,502,800,800,503,649,800,16,501,503,800,501,500,800,501,501,800,503,611,705,501,502,146,500,188,419,500,800,282,500,800,501,800,107,500,649,503,649,501,16,503,501,649,503,502,800,502,500,649,500,16,649,282,374,649,500,500,649,503,971,80,575,500,501,16,282,501,800,500,800,282,59,800,500,502,282,16,282,500,501,500,800,649,501,282,322,503,649,504,501,649,501,500,649,502,503,501,501,649,502,504,330,800,230,800,502,910,800,501,501,649,103,649,501,918,501,502,503,503,16,282,649,501,800,649,649,501,501,649,501,502,502,999,504,501,500,501,649,501,502,500,24,501,800,282,500,504,501,503,800,861,649,724,500,282,107,282,502,503,500,649,649,501,503,800,16,756,800,649,503,282,503,691,107,503,800,228,649,500,794,16,503,923,501,282,800,502,800,501,500,701,503,269,16,501,800,770,649,741,503,800,16,649,503,649,502,649,501,502,649,503,503,800,54,470,503,800,649,502,500,503,503,649,649,501,800,930,538,503,794,800,501,500,504,649,800,500,892,501,193,282,502,800,501,503,800,501,800,800,503,500,221,503,505,649,503,503,501,501,476,500,49,503,502,282,800,800,725,16,500,528,649,503,500,649,649,501,282,261,502,503,802,649,503,649,107,503,503,309,800,282,649,450,282,740,502,502,649,503,800,74,501,503,503,502,16,885,649,502,37,501,649,230,500,800,649,649,800,503,649,501,800,103,502,501,503,503,502,500,16,501,501,800,649,649,604,501,500,503,500,501,823,501,800,800,503,649,408,649,500,500,502,487,259,500,504,502,649,800,649,800,503,501,502,649,500,503,503,800,815,649,503,502,16,649,382,503,800,649,282,500,649,503,500,503,500,222,16,502,503,649,842,800,800,503,504,34,282,502,649,502,501,791,501,800,502,501,501,501,649,826,800,649,79,503,500,800,282,500,282,503,800,501,500,649,503,502,503,503,649,502,649,502,501,500,501,649,503,16,503,503,501,282,501,503,210,16,649,501,800,502,719,500,501,16,649,502,501,503,649,282,800,503,500,502,502,501,501,504,282,501,800,501,800,800,503,501,502,649,800,800,649,502,503,500,502,282,649,502,502,500,500,503,282,800,500,502,503,780,800,214,800,502,501,503,502,501,705,825,649,503,503,800,503,501,16,501,501,502,649,503,503,780,503,649,501,500,503,503,721,649,645,502,649,502,502,500,501,800,103,502,500,106,502,649,800,501,800,649,502,501,501,16,16,500,16,503,259,117,501,502,500,503,501,502,800,107,501,503,502,501,800,16,500,326,500,503,800,975,502,282,800,276,504,649,500,503,800,800,502,502,16,500,649,500,256,665,500,500,500,74,503,16,501,500,649,649,503,649,800,649,502,800,309,503,500,282,501,651,800,282,500,501,500,16,555,649,314,500,502,683,649,282,16,800,500,357,649,282,16,502,282,800,347,282,649,318,501,502,282,501,800,16,503,282,503,800,500,503,501,501,500,503,235,503,649,501,501,800,503,500,800,502,501,502,800,800,501,501,501,502,800,500,800,503,500,501,501,500,800,533,504,500,412,503,503,500,832,503,502,282,500,800,649,800,282,649,501,800,840,282,282,502,500,649,800,502,503,502,649,649,504,503,800,282,502,800,649,800,800,501,282,500,16,502,800,500,103,649,501,843,16,649,503,800,800,501,501,502,503,503,649,649,16,501,500,503,502,282,500,649,503,504,501,228,500,800,500,500,500,730,800,501,502,800,503,649,649,503,649,282,502,503,501,107,800,501,362,649,800,800,649,282,580,649,503,800,800,742,915,500,501,501,418,501,502,800,502,800,953,503,282,649,503,500,250,649,656,501,107,502,503,701,282,500,800,502,800,501,282,800,800,496,649,504,800,649,501,503,649,78,800,559,16,504,500,907,502,282,501,502,500,500,282,536,972,504,800,500,800,501,649,649,282,501,500,501,501,500,501,503,800,649,885,649,16,504,800,500,800,800,818,220,800,649,501,649,227,503,500,502,502,800,800,503,282,750,502,500,649,282,501,501,649,502,500,503,282,502,502,502,649,649,500,500,502,502,503,282,500,500,217,501,502,501,500,503,16,518,503,501,502,800,501,800,83,800,649,500,502,502,504,800,649,282,282,501,649,178,880,800,501,800,282,503,282,282,800,496,502,503,502,502,501,800,800,800,282,16,649,106,502,501,649,501,503,502,500,501,800,500,500,503,870,502,502,649,503,649,282,649,500,649,503,800,107,649,645,503,649,501,649,282,800,501,501,500,503,910,500,500,501,800,800,649,107,107,800,500,649,500,502,800,501,503,527,501,502,501,501,800,502,472,501,501,503,649,500,800,503,504,649,833,501,501,500,649,503,503,649,652,649,414,649,800,800,503,282,282,500,649,800,503,649,501,500,107,500,649,800,500,649,500,501,800,649,16,800,649,501,504,649,705,503,649,500,500,282,501,500,502,502,500,500,649,502,501,416,351,503,800,503,649,802,500,282,800,800,502,501,500,282,502,502,282,501,502,502,60,503,501,800,800,800,282,500,800,649,934,503,502,800,536,800,502,502,807,501,257,649,282,649,800,500,649,500,649,16,503,500,502,282,282,558,16,649,515,800,912,502,282,119,800,282,501,501,649,16,501,633,146,501,15,649,778,501,800,649,649,649,624,123,501,501,503,500,500,800,282,107,500,815,282,500,501,501,358,471,765,705,282,282,500,792,16,220,502,500,649,582,649,800,503,503,503,501,282,800,503,501,71,649,103,649,500,282,500,649,800,649,800,649,502,282,282,800,503,649,501,501,503,16,500,503,500,504,286,503,501,996,298,649,324,500,500,282,649,58,501,800,800,649,16,500,501,649,11,501,522,996,282,780,649,501,501,500,502,500,982,503,800,16,504,504,649,16,649,503,501,503,304,282,500,649,649,482,800,313,800,503,282,500,500,503,502,16,800,500,800,282,503,500,500,500,16,503,503,503,282,500,800,500,282,282,503,800,501,800,800,800,800,501,501,501,800,282,500,500,500,502,501,800,501,282,501,62,800,649,302,500,500,800,503,800,500,649,100,107,457,282,282,315,502,392,694,500,282,503,501,282,16,572,503,649,282,800,107,800,282,503,282,500,534,282,500,282,503,649,16,649,282,500,107,609,282,502,502,649,502,500,501,748,27,740,800,453,501,168,502,649,899,282,501,197,649,282,282,800,282,503,503,720,800,504,800,503,800,501,500,500,500,310,503,501,502,800,500,282,282,744,800,649,800,800,800,282,502,500,503,800,502,649,649,500,503,502,500,502,500,800,649,501,502,500,669,503,800,800,503,282,262,502,282,500,649,800,649,501,649,502,501,936,500,501,800,800,282,500,649,502,503,501,503,502,503,232,503,502,16,502,458,282,103,503,282,501,800,500,282,500,501,800,282,501,503,25,503,502,504,649,500,502,503,649,649,800,649,501,502,502,502,800,55,503,800,503,800,500,500,800,131,502,502,649,503,100,500,16,800,500,503,503,503,649,800,501,282,800,503,800,649,502,649,502,649,596,503,500,501,800,800,800,800,501,744,16,503,296,107,502,649,961,502,501,649,500,649,500,502,202,501,103,501,503,16,800,503,502,501,16,800,503,501,282,800,818,649,800,503,504,500,579,705,502,824,501,500,504,282,800,385,504,503,503,800,501,502,502,501,800,800,501,282,503,503,800,16,500,649,649,503,649,503,504,503,800,800,257,16,649,371,677,500,538,502,503,282,500,502,500,653,800,408,500,282,502,800,500,501,649,800,500,649,282,501,500,649,800,501,501,501,500,500,500,501,501,502,800,649,501,282,500,282,502,800,649,16,501,502,502,503,649,282,500,501,967,282,501,502,800,500,800,282,1,502,672,282,107,800,9,503,800,999,800,503,800,800,282,500,500,649,504,502,502,649,415,500,800,107,649,504,800,43,502,649,282,500,502,502,503,503,502,705,502,500,649,501,649,800,502,501,649,800,504,503,486,592,649,649,649,500,503,282,501,282,501,649,500,500,16,649,649,800,503,649,800,649,282,800,800,649,500,500,500,500,502,800,500,501,502,800,282,503,472,800,649,800,800,503,501,502,800,501,500,800,604,800,500,501,503,503,502,649,649,503,502,501,502,64,649,503,500,16,500,16,649,501,501,411,16,500,503,649,656,649,431,45,16,800,502,501,16,503,800,800,800,289,631,649,282,500,649,501,800,282,502,503,87,649,503,539,649,500,103,501,310,282,687,649,503,138,501,503,502,503,800,503,503,503,500,800,501,800,645,501,504,503,281,16,994,502,503,649,501,500,500,500,649,649,886,503,502,502,984,16,503,502,500,503,286,502,503,502,282,502,502,501,501,649,502,501,500,594,156,503,500,500,319,500,501,800,501,502,800,500,500,546,649,503,649,107,118,501,503,649,800,649,500,282,220,503,395,501,649,217,800,500,280,503,649,800,501,500,503,282,649,503,103,282,502,502,501,39,720,649,800,348,503,503,501,16,96,16,500,500,500,503,502,503,649,800,501,800,800,500,504,282,502,406,501,503,800,500,503,502,502,500,649,502,503,310,503,800,641,503,502,194,501,501,503,503,501,705,800,282,502,501,501,800,649,649,700,503,537,503,502,494,501,649,502,107,800,500,16,282,92,501,503,649,800,502,282,649,282,800,282,282,800,503,511,502,503,649,800,662,502,103,800,500,503,501,500,649,16,502,503,501,800,502,502,504,503,500,501,800,502,500,800,503,910,500,282,649,282,503,503,649,503,126,500,282,501,500,501,800,502,503,503,503,502,800,500,282,500,500,910,800,500,504,502,500,332,502,446,500,438,800,800,502,282,800,500,868,16,502,800,282,800,649,800,503,282,800,502,282,800,500,502,705,83,649,800,501,500,503,282,503,500,502,413,649,500,649,500,649,649,501,161,328,16,800,500,503,503,800,872,503,503,756,500,950,503,277,502,282,800,500,503,800,501,800,800,430,503,282,649,16,500,649,503,800,503,929,502,501,282,500,649,500,500,800,502,649,558,800,503,649,649,800,500,649,501,585,504,501,800,500,502,800,800,502,879,500,663,502,951,501,649,282,800,282,502,16,649,800,103,540,501,800,502,800,503,282,501,160,500,503,502,800,501,925,282,500,509,633,282,502,501,348,503,282,649,649,503,503,501,282,500,191,800,649,500,503,500,501,500,800,800,649,503,282,849,282,929,800,501,800,503,656,503,502,500,503,800,649,649,500,282,500,500,501,503,800,502,500,500,501,503,502,797,800,503,501,649,858,800,502,503,501,500,503,800,501,649,16,627,503,649,501,501,503,282,500,502,649,800,502,503,649,502,500,503,649,144,800,7,649,800,504,989,189,282,500,282,501,800,503,282,501,503,503,503,502,501,502,800,501,500,501,373,16,500,502,720,800,800,800,16,500,800,501,649,500,647,501,282,800,649,649,418,649,649,107,836,502,649,398,649,502,649,16,502,649,107,501,800,649,16,503,921,482,800,504,501,522,500,282,649,501,501,503,501,800,230,649,500,800,800,502,502,501,159,503,501,500,800,502,461,282,503,806,502,501,500,649,649,501,502,217,687,501,501,16,500,282,500,502,107,503,282,928,502,501,504,912,800,500,75,612,500,649,503,282,800,500,503,501,503,504,502,879,282,500,500,761,500,282,800,503,896,502,649,785,901,502,504,800,103,501,333,359,297,500,502,500,726,503,503,500,502,501,500,649,800,500,800,800,111,502,502,500,800,649,314,800,500,500,649,800,649,360,282,503,502,423,500,502,800,501,500,282,501,502,429,503,16,800,800,282,501,649,503,16,503,800,649,800,118,500,800,502,800,779,500,500,502,649,649,503,800,504,502,503,503,649,649,800,500,435,800,800,501,16,800,649,502,503,800,654,125,800,800,649,649,500,500,501,649,800,16,501,649,800,649,501,16,649,800,503,502,502,502,586,503,502,649,895,503,649,86,649,500,649,282,649,705,800,502,800,502,503,503,800,719,16,500,807,289,649,500,282,16,16,501,649,800,226,500,501,502,16,503,211,392,504,501,502,502,800,502,501,503,503,503,503,800,649,500,500,649,501,502,502,649,287,649,500,500,800,502,209,503,502,502,502,599,854,501,502,16,16,649,649,649,649,501,649,503,503,502,500,282,502,800,501,503,502,960,649,501,800,282,501,21,500,502,500,705,649,800,502,649,718,797,421,800,780,800,503,376,503,569,500,503,503,649,502,500,503,649,282,800,502,501,501,807,502,800,503,649,500,16,649,649,503,501,800,92,503,502,503,502,16,800,649,649,16,649,502,500,649,412,930,502,502,282,500,476,502,282,501,501,255,503,537,503,501,232,503,501,500,503,500,500,503,500,282,649,468,649,282,699,501,500,501,503,649,500,282,500,800,282,485,800,501,800,501,501,649,168,107,649,452,864,502,503,502,500,649,503,502,800,500,503,855,500,503,16,500,500,282,500,503,501,504,649,500,501,503,500,318,850,503,103,649,501,500,800,800,649,503,800,282,501,500,502,502,800,649,649,88,500,503,500,649,649,16,504,501,800,533,649,444,16,501,16,501,282,800,649,705,503,649,503,501,500,502,500,433,500,500,500,649,800,282,800,503,502,800,800,649,502,800,107,800,901,931,649,800,502,800,501,726,501,649,501,282,16,503,502,649,500,500,16,500,500,649,503,502,482,503,502,649,503,502,649,502,503,800,501,649,103,503,649,238,501,501,500,501,649,503,800,500,500,502,501,649,649,503,500,501,503,501,10,502,503,800,282,914,503,705,394,394,800,501,503,501,500,500,649,500,649,649,16,502,502,800,501,16,649,282,649,503,800,813,649,500,500,381,605,800,501,500,282,800,501,503,482,501,800,500,500,115,282,504,502,500,502,800,501,501,502,800,502,282,501,16,501,503,282,501,687,501,502,649,518,16,800,503,522,502,611,501,500,282,502,501,532,502,202,649,800,501,488,649,649,501,649,501,800,649,889,928,16,800,500,500,503,502,649,775,503,501,503,502,800,500,649,500,503,745,649,586,282,800,500,282,800,143,501,503,503,649,503,501,501,910,474,500,853,282,500,501,503,502,502,800,282,503,501,282,750,256,649,800,376,282,787,800,502,251,500,800,800,282,504,18,502,800,502,777,800,502,99,501,450,99,503,282,500,649,282,501,503,503,501,800,503,500,800,501,504,939,503,503,800,502,500,148,501,45,282,649,500,649,504,501,292,800,282,501,800,503,500,500,417,500,16,503,800,503,649,501,282,649,649,503,501,503,503,800,800,800,455,711,649,649,503,501,502,332,800,649,500,649,500,500,649,649,16,500,463,800,500,501,501,649,800,116,503,282,500,502,282,362,501,500,503,502,16,810,649,500,863,800,802,501,503,800,503,220,649,649,800,503,501,502,833,649,800,649,282,282,649,503,800,502,16,800,649,101,503,649,503,690,503,502,107,500,268,705,503,409,504,200,500,23,500,649,16,561,500,500,282,502,815,503,504,501,462,734,282,502,503,800,282,310,503,649,649,99,16,221,502,502,500,501,502,500,503,800,501,500,501,649,649,504,16,649,282,500,649,503,503,502,800,500,503,385,500,744,800,800,649,502,353,8,503,28,501,541,503,649,800,649,800,500,503,552,500,103,800,649,649,503,282,501,800,16,502,501,504,527,501,501,649,501,503,282,649,31,500,502,501,500,371,500,883,503,649,503,107,502,500,501,649,501,500,501,502,282,16,503,282,649,282,800,291,501,800,504,282,500,800,800,282,649,500,502,668,502,282,501,500,500,502,501,504,500,493,800,649,800,282,282,649,500,501,37,282,800,800,500,493,500,500,502,501,800,501,800,282,282,501,800,500,649,790,502,500,800,282,745,500,500,800,503,501,800,16,502,502,502,502,500,501,800,500,797,282,502,503,282,502,649,282,502,800,282,503,649,503,503,762,800,16,649,500,503,800,504,500,500,345,502,16,649,503,649,501,56,103,282,500,501,500,649,649,649,500,500,649,800,649,500,800,800,503,16,503,501,800,653,501,730,649,16,503,501,282,321,500,649,502,800,500,500,628,501,503,503,500,500,282,502,800,812,554,282,800,500,502,503,649,649,800,503,649,800,502,502,649,282,649,649,502,735,282,649,649,501,503,501,992,875,800,503,800,16,16,504,143,355,800,501,500,282,500,282,503,282,501,800,800,503,503,503,800,649,649,649,735,500,501,500,649,267,649,282,273,502,52,800,501,649,800,16,501,800,103,502,503,800,253,500,501,502,800,501,800,800,502,501,458,501,500,649,500,501,502,501,500,501,503,501,500,800,501,800,282,282,800,282,540,502,800,282,502,649,649,501,502,501,501,800,282,501,649,502,800,674,502,502,282,502,501,503,16,800,649,452,649,500,282,800,501,503,800,16,82,500,502,500,800,800,187,282,501,282,500,503,299,800,649,500,282,503,503,800,501,500,34,502,502,649,649,503,800,800,500,649,503,503,282,502,800,112,504,502,104,800,800,500,501,16,16,975,800,503,501,878,501,16,501,649,502,501,649,800,500,440,502,500,502,500,692,705,502,649,800,500,502,800,500,60,649,705,800,503,503,502,649,502,526,503,612,282,649,649,502,447,381,649,502,501,503,16,502,500,500,504,649,800,910,502,800,505,964,502,800,649,649,502,282,502,503,16,501,504,503,500,800,800,504,649,649,800,649,649,282,628,504,800,282,649,500,59,503,502,282,800,800,503,503,501,503,800,503,800,500,800,500,103,502,555,501,282,501,173,651,503,317,282,500,503,16,209,501,503,693,16,501,800,196,503,500,502,502,800,649,649,649,501,282,503,501,503,649,649,501,500,503,503,502,500,503,649,296,800,908,501,649,282,649,503,153,501,502,800,800,502,649,800,649,800,503,500,800,305,501,500,502,501,501,503,504,356,500,504,502,502,501,800,16,500,16,502,649,800,649,649,503,503,800,649,800,282,649,503,649,282,502,502,500,800,310,501,501,501,649,503,282,500,501,501,800,649,500,502,501,503,282,502,275,500,649,501,800,830,500,282,649,500,649,282,649,502,500,649,501,547,502,503,855,800,649,503,501,912,282,649,502,800,500,503,501,503,800,282,504,504,501,995,800,504,282,503,501,501,649,501,501,500,31,502,800,800,800,504,800,503,649,468,107,502,501,800,502,282,501,16,504,500,649,501,501,800,502,16,503,500,800,502,503,16,503,649,502,16,649,501,871,636,608,16,500,649,649,502,502,501,502,705,282,649,503,501,16,649,503,503,500,649,502,800,107,649,500,649,800,502,497,282,503,107,960,649,16,501,502,501,800,649,501,649,16,800,503,504,649,800,920,503,500,503,503,800,500,503,501,800,932,502,503,649,800,500,500,16,503,800,503,649,502,649,282,500,345,500,503,502,800,500,649,501,502,501,501,911,825,16,503,800,128,800,504,501,501,502,503,508,501,16,800,800,503,800,800,500,500,107,502,649,502,282,16,649,500,501,500,500,705,800,500,438,282,504,649,234,48,649,501,503,502,501,800,800,446,504,800,503,373,503,500,282,649,503,16,500,503,501,800,800,649,501,503,649,501,931,500,500,503,649,800,649,800,502,502,282,503,649,649,501,282,971,282,649,502,800,500,649,502,800,800,502,282,532,500,500,649,503,800,959,800,501,282,500,500,500,142,800,502,501,837,501,500,800,282,282,131,649,501,500,502,500,502,503,500,501,947,100,800,500,503,501,649,649,206,503,527,500,502,649,500,501,800,500,277,502,503,649,649,501,501,503,502,504,522,800,677,800,800,26,800,800,800,500,649,282,109,500,282,500,800,800,800,502,502,501,282,501,500,501,500,649,107,961,502,800,500,502,800,502,501,503,800,649,800,649,500,504,649,282,501,502,800,501,800,503,800,501,502,500,282,800,649,649,282,397,16,504,502,503,282,282,502,502,503,979,800,649,649,501,502,501,649,500,103,502,501,649,503,16,649,501,503,500,16,800,500,501,649,800,503,503,500,502,800,500,800,502,16,501,502,282,500,502,800,503,3,510,503,800,901,502,504,500,502,800,504,501,502,502,822,501,800,501,282,500,502,503,501,501,503,502,502,649,502,16,503,502,502,649,649,500,502,502,503,501,503,500,501,800,800,500,500,800,503,705,501,501,503,502,337,103,918,502,503,500,831,500,503,501,500,502,502,500,649,501,502,800,207,500,500,503,800,502,503,649,243,502,649,282,503,16,501,649,723,500,503,502,504,16,500,649,16,503,800,501,177,16,500,649,374,16,649,500,107,500,503,649,649,16,502,800,502,800,503,705,649,649,16,502,666,33,503,500,503,350,502,501,503,503,500,503,500,800,649,503,501,282,800,282,649,146,504,800,503,500,503,503,501,800,501,282,649,649,502,649,502,831,649,502,500,501,800,748,501,268,502,800,800,649,913,40,649,500,282,500,500,514,503,502,16,800,850,649,649,501,500,800,763,501,260,504,502,800,503,800,502,500,649,504,800,649,503,800,500,500,502,500,502,507,676,500,649,950,635,649,503,500,192,502,649,316,649,502,501,649,282,503,503,500,500,282,500,500,502,503,500,500,501,500,501,503,800,500,649,800,649,501,800,501,649,649,501,800,500,546,800,502,107,282,103,649,649,800,501,396,500,282,107,282,502,503,500,503,501,500,502,502,649,501,500,503,503,501,649,502,502,500,16,649,500,503,501,502,501,649,500,24,500,649,500,800,375,649,502,502,502,800,500,503,282,502,503,500,107,500,143,500,503,701,800,282,502,501,501,502,800,800,502,500,800,502,502,500,800,501,503,489,649,649,649,501,501,800,136,500,502,649,500,500,800,649,16,501,500,500,502,800,800,500,502,500,80,4,503,649,503,502,500,649,800,800,880,501,800,501,502,592,649,800,502,500,800,502,501,502,502,500,637,16,501,282,503,800,500,800,503,500,441,800,503,544,503,952,800,503,501,501,207,500,331,771,502,107,800,502,649,649,502,800,649,765,649,761,282,103,501,501,77,800,500,649,64,649,503,649,502,67,16,16,649,500,16,500,649,800,502,502,503,649,503,501,800,500,504,80,800,824,501,225,107,649,649,467,503,223,184,500,500,500,843,282,649,649,1,172,649,800,502,436,502,503,578,503,503,496,502,501,501,503,503,500,500,103,501,502,500,800,800,500,503,502,800,282,501,501,649,816,800,282,649,649,503,502,501,504,500,500,503,393,282,649,503,282,503,649,500,649,649,800,282,500,800,649,800,997,500,501,649,501,503,501,649,504,393,800,649,500,16,503,501,502,86,503,500,503,503,502,501,649,16,800,649,285,502,504,649,800,649,501,500,800,501,504,800,282,502,649,649,268,503,649,504,649,502,502,503,501,501,502,649,800,282,502,800,503,502,503,962,649,800,502,500,593,503,500,649,501,502,500,503,800,64,282,501,649,282,502,504,649,649,502,501,504,501,502,800,503,649,800,501,517,649,649,502,16,500,500,500,502,16,502,426,500,649,282,649,300,502,649,500,500,282,501,500,500,501,649,501,502,501,503,16,649,800,649,502,282,501,500,500,16,501,649,649,282,282,501,282,502,502,282,800,503,107,502,649,501,445,758,800,107,501,674,503,501,282,649,282,501,730,503,504,650,800,230,800,501,502,501,501,800,503,262,502,501,502,800,649,282,503,649,500,504,279,500,501,501,504,500,649,503,111,503,503,908,649,800,666,500,16,503,682,501,502,649,501,501,800,649,502,501,16,579,503,853,500,694,800,649,502,504,800,503,649,649,282,16,403,500,502,649,542,282,500,500,501,502,416,800,502,503,282,501,704,649,501,502,581,503,649,107,504,649,501,502,118,502,16,800,501,500,800,649,306,503,16,800,528,800,282,649,500,500,800,282,500,800,503,435,503,800,500,502,800,800,501,503,500,649,16,503,502,800,503,793,226,502,649,282,16,500,649,649,502,705,282,502,800,503,649,500,440,649,107,503,503,649,501,305,649,500,649,563,11,502,501,500,649,503,503,501,736,500,503,501,500,503,501,501,500,502,649,16,800,502,500,54,906,649,500,501,503,503,503,800,503,502,800,504,800,501,500,649,252,501,229,649,503,501,649,282,649,859,649,649,502,649,501,800,800,649,504,800,780,800,502,500,501,282,503,502,368,502,501,800,500,649,501,649,500,380,282,502,800,502,826,522,500,800,504,503,705,282,649,649,500,800,800,503,883,282,502,500,502,450,503,502,623,503,800,284,800,800,502,500,649,649,705,502,800,500,103,649,501,649,800,16,504,502,500,800,502,800,500,649,503,649,425,800,500,282,282,502,501,502,501,282,503,502,649,649,501,330,649,649,503,501,800,503,716,503,649,501,800,760,649,501,649,516,504,503,503,501,215,800,502,500,500,282,500,282,56,502,800,800,500,649,649,800,502,231,501,501,500,501,649,503,649,501,501,3,503,425,16,501,503,501,501,800,503,501,649,649,504,500,500,390,16,282,446,500,501,503,282,501,800,649,503,502,504,683,954,501,800,800,500,501,501,649,501,649,282,649,460,503,214,500,162,502,649,502,501,800,800,500,282,502,501,503,501,800,503,800,16,500,800,219,501,282,649,649,800,677,500,501,503,800,282,800,501,649,500,649,649,501,284,503,503,503,503,501,649,7,649,500,503,503,282,649,503,800,501,765,502,501,565,800,93,500,800,649,800,503,649,263,16,503,502,649,282,502,800,649,502,389,150,945,649,800,503,501,836,800,501,503,500,800,649,501,423,503,807,501,800,438,107,16,800,502,324,282,503,503,503,503,282,413,500,978,503,800,502,500,649,502,199,503,500,502,502,502,800,502,502,502,649,500,501,704,500,929,282,503,649,941,649,500,500,501,501,649,501,649,649,502,800,503,503,500,501,500,501,503,800,649,800,822,114,16,649,800,502,500,282,500,820,649,282,500,501,500,504,500,612,502,502,800,503,649,965,503,649,140,502,501,442,665,501,796,502,500,909,503,311,649,500,282,649,16,440,800,16,502,649,649,500,282,503,501,501,989,501,502,502,503,282,705,502,523,214,800,282,800,649,502,500,503,60,501,649,500,800,282,500,800,649,152,503,503,503,521,282,282,502,500,503,649,16,282,500,500,649,501,502,503,282,502,500,649,500,501,502,501,500,848,16,503,502,649,500,500,502,500,765,501,501,500,560,282,649,501,800,504,503,394,500,889,282,282,502,501,800,502,501,504,282,649,503,977,500,503,503,503,504,501,501,282,282,800,501,282,500,500,800,502,500,500,500,503,649,501,502,502,500,800,800,282,555,501,502,282,502,500,166,649,800,503,502,500,649,649,981,500,649,800,501,503,502,649,649,800,649,800,282,502,500,502,503,800,282,282,800,500,502,649,502,800,500,800,452,740,800,649,501,503,501,503,649,16,504,502,501,282,12,800,500,649,503,501,501,16,800,500,503,103,800,649,649,503,503,501,502,502,500,649,348,500,800,503,500,503,753,174,500,217,503,649,502,649,503,649,649,649,798,469,649,649,502,970,800,649,502,649,1,500,800,503,501,649,649,502,800,503,500,502,501,800,649,800,500,282,40,282,800,649,502,501,503,559,502,649,500,198,503,282,407,649,503,16,503,800,501,800,800,800,649,257,800,282,274,649,501,404,502,800,500,503,501,649,501,993,800,800,343,500,649,501,649,800,503,501,837,503,501,503,282,800,503,23,282,500,503,500,342,16,502,807,501,501,649,282,800,501,800,501,500,649,754,503,500,800,282,649,282,282,649,800,500,649,500,649,800,16,503,649,681,282,649,649,6,800,16,503,500,502,800,503,502,503,638,502,504,800,800,693,800,800,16,282,502,800,800,649,501,501,500,800,282,16,282,88,502,87,503,500,541,282,501,500,649,503,649,817,500,500,502,503,502,502,502,502,501,350,10,649,501,502,504,502,282,502,800,501,790,649,502,501,503,502,501,503,500,649,800,800,501,16,501,800,501,800,503,500,800,503,500,503,500,500,800,800,800,501,800,28,282,800,182,502,500,800,282,500,649,649,501,503,501,502,800,800,500,282,719,501,429,502,282,800,501,502,649,649,501,501,919,503,501,501,503,503,282,157,503,534,501,158,501,500,501,649,16,800,582,501,649,500,649,649,502,662,500,502,502,501,471,107,502,695,500,889,800,501,16,16,649,503,800,282,502,503,282,501,500,16,282,16,649,649,503,501,503,607,503,649,800,469,800,502,503,649,800,503,501,503,501,503,487,500,282,501,598,308,749,500,595,212,800,172,34,503,502,503,151,888,500,502,502,501,500,501,501,800,502,502,503,649,501,847,107,504,503,503,500,502,501,500,500,649,501,800,501,649,800,501,576,800,502,503,502,16,649,501,502,649,503,282,800,649,107,800,282,503,968,282,260,880,784,502,502,16,502,484,502,800,781,649,503,503,504,291,649,649,649,800,649,649,103,500,504,800,503,502,16,800,501,649,996,800,502,800,259,503,500,282,503,800,503,649,282,500,503,500,503,500,500,800,500,649,498,501,501,800,504,649,36,800,501,649,800,649,800,390,500,503,800,649,500,601,503,800,501,649,800,502,61,800,502,500,502,800,502,504,501,500,500,501,500,500,722,800,649,601,501,783,610,282,503,501,649,851,503,800,649,500,16,502,500,16,501,500,649,502,503,501,502,649,138,800,503,649,504,649,502,597,800,500,800,742,501,800,800,503,501,649,501,649,649,501,651,502,649,502,500,502,800,501,503,800,800,503,503,282,503,800,501,315,501,952,500,503,800,551,502,835,503,500,407,649,500,500,649,993,504,800,501,500,503,501,501,282,649,649,282,189,256,800,501,649,501,503,501,501,649,622,321,107,282,500,649,502,705,649,800,503,503,502,501,502,675,649,501,282,101,503,649,503,503,800,500,503,500,282,800,649,649,16,640,503,500,502,800,800,16,649,502,649,282,238,896,282,503,500,500,800,16,282,649,504,503,649,16,501,502,453,501,247,800,503,501,800,800,501,529,649,500,282,501,502,649,500,201,800,501,500,103,502,276,502,174,649,503,501,502,500,107,500,621,282,654,501,578,502,649,800,502,16,649,502,501,501,502,649,683,800,16,282,501,501,500,500,16,501,500,711,576,500,800,649,947,282,649,501,282,500,501,800,551,500,501,649,503,503,500,501,500,502,16,252,800,16,502,683,503,282,503,503,512,502,676,800,502,672,502,457,649,500,282,500,800,503,501,800,501,800,502,103,107,282,649,500,501,55,642,502,800,503,503,500,502,503,649,800,502,503,502,500,16,180,649,500,649,500,501,649,501,800,800,503,800,501,503,649,500,649,16,501,500,504,500,500,282,649,502,501,16,503,502,535,501,800,503,503,649,502,503,282,503,800,502,503,503,502,800,76,549,500,502,500,502,16,503,16,282,649,282,249,501,501,503,423,800,402,800,501,500,502,502,502,500,500,501,503,57,326,501,501,800,649,800,649,256,504,917,501,503,501,501,363,417,501,800,501,503,656,800,503,852,800,503,282,644,500,800,800,501,649,649,502,928,502,800,649,503,503,502,502,500,745,705,829,654,554,515,503,649,649,501,503,649,176,800,503,501,503,649,649,649,800,500,500,35,502,503,282,800,501,649,649,878,500,500,282,502,800,503,84,282,649,16,502,769,16,282,502,800,428,503,800,501,649,649,503,500,107,501,649,649,16,500,649,502,503,504,501,501,500,503,503,649,502,500,504,282,441,471,501,614,500,649,800,800,800,649,999,649,501,572,800,800,502,800,503,578,501,500,501,501,501,500,649,501,649,649,800,500,500,800,800,503,503,649,107,500,16,871,501,503,800,502,649,649,16,283,16,501,503,800,988,649,502,500,503,504,649,800,568,381,649,885,502,501,502,501,501,649,103,649,502,501,660,817,503,502,282,649,56,503,503,502,649,503,501,501,282,800,800,500,503,649,501,503,282,502,501,503,490,500,501,649,649,649,649,166,649,759,282,501,501,637,500,184,282,800,500,500,501,502,800,501,504,800,990,501,383,501,800,107,282,501,800,501,649,502,579,501,139,503,532,282,282,503,504,108,800,502,800,501,501,282,485,502,334,500,800,647,649,501,501,800,501,502,800,500,501,502,504,501,9,500,649,501,649,503,649,502,502,501,162,841,227,502,503,800,504,502,649,177,503,503,800,800,503,308,500,500,500,502,800,282,800,503,501,649,501,501,649,317,500,501,800,649,282,501,503,179,282,600,956,773,503,649,503,500,502,500,236,649,503,103,501,503,502,800,800,501,502,503,282,383,282,501,800,800,503,502,502,500,649,501,501,500,649,500,503,649,503,502,502,503,16,649,503,503,800,800,282,497,501,351,800,800,500,500,503,502,242,502,649,705,649,502,107,501,800,649,649,503,501,542,501,501,502,282,504,501,502,282,912,500,282,503,503,500,503,649,468,500,347,501,501,107,649,555,503,804,107,649,649,649,500,800,502,502,501,883,768,502,501,806,649,649,649,282,502,282,503,502,502,282,501,503,501,893,800,214,502,909,800,800,282,800,649,501,428,503,503,649,84,500,686,502,898,575,48,800,649,800,800,282,5,501,500,503,540,302,500,580,321,501,198,649,782,800,118,282,463,800,800,501,502,16,800,282,501,503,501,500,501,501,975,920,503,500,800,500,282,502,673,117,282,16,649,282,800,500,503,500,501,501,107,503,501,503,282,649,649,502,501,282,446,500,911,502,503,649,649,500,800,800,800,282,503,503,502,500,649,37,501,800,501,800,502,800,800,800,800,503,649,649,501,649,500,500,503,649,503,649,282,503,379,649,503,500,501,800,800,649,674,188,649,503,563,500,310,503,501,860,503,649,503,502,951,501,501,800,500,613,962,501,500,501,500,800,12,649,649,502,290,649,811,780,282,680,503,504,649,800,649,610,800,503,502,500,500,800,800,501,649,501,503,879,649,800,649,402,649,282,502,649,503,800,503,649,501,503,496,649,800,501,502,649,503,501,502,800,800,954,502,649,501,516,500,501,697,500,800,503,501,502,282,16,282,800,800,500,501,310,501,500,649,502,649,649,800,503,501,800,16,503,500,649,649,503,649,800,500,800,503,945,118,649,649,503,502,800,500,501,502,502,501,500,501,500,500,502,501,504,500,800,649,282,214,649,786,649,35,502,501,501,800,282,502,500,373,749,502,501,282,504,649,500,502,501,107,500,165,649,800,500,503,500,649,649,500,504,800,282,800,500,502,649,501,800,502,444,500,502,800,501,501,282,800,502,282,501,800,501,800,500,282,16,16,811,500,854,800,502,649,800,16,909,503,501,16,501,503,16,282,800,649,500,16,502,515,501,501,500,501,487,649,800,500,502,649,501,502,501,649,649,502,503,503,500,649,503,800,504,649,282,502,502,649,800,501,649,503,16,676,501,192,503,503,500,500,282,502,649,800,503,282,502,649,282,501,12,502,500,282,325,800,502,189,800,75,800,800,500,107,800,502,800,501,502,381,501,649,481,649,501,282,706,649,649,501,503,282,800,500,504,500,501,503,503,503,500,16,503,502,800,649,800,500,800,502,800,503,502,800,649,502,649,107,501,503,502,649,800,800,503,800,649,501,800,649,501,502,731,500,649,500,107,502,100,501,584,503,800,800,800,65,503,16,502,501,16,800,502,501,649,323,502,800,501,649,503,500,502,649,649,502,502,937,800,502,800,503,800,650,800,649,800,800,649,130,649,501,649,501,649,282,500,502,500,503,503,649,862,501,503,503,649,503,800,503,800,502,501,503,649,649,800,649,503,502,501,649,502,282,504,504,800,503,649,503,260,500,500,501,502,800,500,500,501,800,501,501,649,16,502,501,800,500,649,500,649,503,800,649,232,649,502,877,501,500,411,649,282,954,536,912,501,501,649,52,156,282,107,800,649,800,500,503,502,502,564,500,253,649,87,500,282,502,424,16,502,503,16,649,282,500,503,503,501,800,501,282,501,800,380,233,800,503,503,501,501,500,501,800,502,510,502,649,503,501,16,649,107,500,282,501,47,500,649,113,649,500,16,800,649,649,500,501,503,503,800,800,800,649,467,16,252,800,800,800,16,282,501,503,649,649,500,502,501,282,500,501,649,282,649,502,503,502,502,502,503,500,500,800,502,800,502,503,501,800,800,800,724,103,649,500,503,500,649,800,649,503,800,16,649,800,500,500,705,282,500,800,16,16,649,503,800,503,649,503,500,800,705,649,282,103,250,649,649,501,649,503,282,501,634,502,502,35,501,16,502,649,500,500,282,616,649,800,800,966,501,503,503,929,501,503,282,501,500,502,282,504,503,800,405,503,968,501,501,285,800,503,800,649,503,502,16,503,502,502,282,901,649,500,503,500,502,503,503,501,649,649,800,501,503,800,649,501,500,503,16,649,800,90,649,649,800,800,502,501,501,616,282,503,649,855,103,649,16,649,502,800,502,947,649,502,107,282,500,800,500,501,282,16,649,59,649,502,800,53,674,502,829,282,282,502,649,502,649,501,502,501,502,500,502,649,503,500,16,503,16,649,503,282,503,282,503,16,503,503,800,503,649,502,501,312,627,282,504,170,800,502,649,649,800,282,994,902,503,502,500,120,502,501,500,503,500,249,500,649,16,482,503,502,563,649,503,503,500,862,502,503,282,503,501,282,800,501,800,649,800,500,501,500,71,649,800,500,501,800,504,417,282,800,501,502,500,502,800,607,504,501,502,282,649,504,500,909,100,503,524,502,501,503,501,1,800,500,15,649,750,500,800,502,649,615,800,503,503,502,500,800,800,800,502,502,649,282,500,502,800,500,800,503,501,649,800,500,503,282,501,800,800,494,649,649,500,503,649,282,887,502,282,649,282,649,800,502,503,503,282,501,649,657,503,649,500,800,500,378,500,501,649,502,800,649,503,800,501,649,705,16,282,16,501,501,502,894,649,649,649,649,503,649,502,502,502,500,282,649,501,502,800,282,16,504,503,287,649,649,800,800,502,500,503,502,800,282,500,972,503,800,501,860,501,500,649,302,501,502,800,649,502,501,500,500,282,500,282,787,503,503,500,501,500,796,501,532,504,503,669,503,649,16,500,502,282,78,800,649,502,282,501,502,500,503,500,500,558,649,500,282,649,649,504,800,500,649,921,649,502,503,649,500,502,500,16,500,500,500,501,649,158,649,501,46,500,502,800,649,504,800,501,282,400,800,500,649,215,282,503,503,176,502,800,502,501,973,500,502,502,478,23,502,502,947,282,501,649,282,16,501,501,800,501,500,502,503,501,282,450,351,501,503,913,637,800,501,503,159,500,501,480,501,480,649,107,88,502,800,502,502,503,649,502,16,649,282,502,649,649,500,502,501,500,649,282,500,800,800,503,800,501,649,800,500,800,282,515,107,501,501,500,800,800,649,500,500,800,103,800,503,16,800,912,800,503,501,502,649,501,503,800,501,501,503,502,500,500,502,976,500,649,16,502,500,502,530,649,503,501,16,980,129,501,649,501,649,24,800,500,107,503,790,500,107,951,649,501,282,16,503,502,502,502,501,800,800,45,800,936,500,649,502,282,649,501,505,502,502,500,501,649,282,503,800,16,286,800,500,282,800,282,502,502,500,649,502,501,503,649,502,282,669,502,501,552,501,503,502,500,871,91,800,777,503,500,502,503,765,502,502,800,649,16,502,800,503,502,503,502,501,501,282,282,500,374,800,16,282,502,800,502,500,142,501,800,111,501,501,503,502,800,197,16,649,800,500,282,500,500,649,503,800,504,503,501,282,502,502,503,800,16,800,649,503,282,504,502,635,500,282,800,503,957,16,501,500,502,500,800,282,501,649,282,501,502,282,649,282,449,501,500,500,503,501,502,16,500,965,502,501,502,502,278,649,500,649,501,110,649,800,16,503,649,800,503,649,501,501,282,649,500,501,501,151,502,503,501,500,282,502,649,502,16,500,503,500,649,107,503,504,501,649,35,649,501,501,649,16,503,611,503,501,502,800,649,503,502,500,976,502,649,987,282,500,649,500,500,332,501,503,16,501,503,649,500,800,501,503,500,282,501,551,649,502,502,705,103,649,500,282,800,800,502,501,16,502,649,606,500,500,502,504,500,800,649,800,282,800,502,500,502,501,500,103,16,649,649,800,504,282,649,282,500,503,800,502,503,503,501,502,282,649,502,800,257,800,800,501,764,500,501,504,282,504,282,501,501,500,503,500,368,800,98,800,503,501,16,282,649,503,503,649,800,501,502,649,107,500,282,500,964,500,649,282,800,501,42,643,503,503,649,502,981,649,503,503,282,503,501,322,500,800,500,502,500,649,649,503,16,500,773,500,501,282,500,500,501,800,649,282,502,800,282,800,800,501,107,800,634,282,649,649,503,501,649,649,503,282,500,502,503,800,160,504,800,501,500,504,649,974,115,16,727,503,800,21,501,500,501,500,16,502,501,970,461,503,501,186,981,282,649,800,282,501,502,649,503,503,503,503,502,503,908,649,503,84,503,705,282,649,624,500,501,605,800,16,501,649,516,503,16,807,502,203,500,649,282,503,502,503,16,503,222,773,503,977,649,649,500,16,235,649,501,503,934,800,282,649,282,500,503,501,503,107,649,883,16,501,107,501,16,501,503,503,282,800,949,503,800,502,502,649,702,899,503,282,649,800,501,502,503,502,503,800,502,16,268,16,500,282,502,500,500,282,649,503,502,501,501,503,501,282,500,501,501,453,282,800,500,501,500,103,503,501,503,504,16,800,282,500,652,501,904,708,986,502,503,500,502,282,501,649,503,501,503,282,502,895,500,500,502,557,649,160,759,70,649,503,107,16,491,502,16,800,130,503,501,502,16,800,503,500,979,649,503,176,31,282,800,481,504,282,500,58,403,282,501,502,960,922,500,502,501,649,500,800,16,717,501,547,501,800,502,502,649,500,800,500,504,501,282,502,649,501,503,500,267,503,649,282,503,501,612,503,503,503,649,381,800,64,806,502,501,500,18,502,501,346,500,500,112,500,501,500,501,502,503,502,502,500,501,552,282,103,282,649,503,800,800,649,282,503,16,500,501,500,649,502,501,649,800,282,592,800,800,502,500,423,500,502,887,800,502,504,502,649,649,502,502,504,667,502,282,503,501,627,800,649,500,503,282,800,272,500,16,259,649,501,501,282,500,504,800,773,978,500,501,500,282,502,500,504,502,500,673,502,435,649,503,503,649,502,500,282,501,649,500,282,504,800,800,649,500,649,282,720,842,504,500,502,503,504,502,649,501,500,107,500,649,500,400,649,800,16,800,800,649,501,503,800,649,784,282,500,502,800,500,282,502,503,414,502,282,503,649,501,649,501,282,502,893,503,649,501,800,107,983,142,649,500,502,244,800,800,502,503,649,501,649,500,501,649,800,800,501,500,503,649,500,800,501,501,502,282,800,345,500,649,503,501,800,649,501,502,501,503,504,649,502,501,503,502,503,282,503,501,558,502,500,649,501,501,501,500,800,501,800,282,364,502,502,500,501,649,941,800,501,347,623,503,670,274,500,649,500,503,980,502,649,800,503,107,501,503,76,501,440,655,501,800,649,282,282,502,501,501,500,501,500,698,502,800,800,501,282,504,501,107,501,107,501,823,800,501,502,800,502,649,501,649,503,503,500,504,548,500,507,500,649,502,649,501,195,627,649,502,567,500,282,503,282,500,489,501,501,501,649,800,800,503,502,800,754,649,653,502,860,502,503,800,649,501,649,503,800,882,282,800,16,500,649,502,800,649,500,746,500,189,800,800,503,649,500,21,800,500,739,800,649,743,16,500,501,800,649,501,718,501,800,503,504,501,500,502,500,500,649,649,502,503,282,500,500,649,500,800,503,504,502,649,503,503,96,503,800,501,103,282,502,282,501,16,649,501,502,165,35,282,800,649,391,103,500,800,649,502,502,500,155,502,503,800,503,501,503,282,500,500,290,501,724,800,502,501,649,800,649,503,800,982,500,500,800,503,617,649,800,800,503,502,501,800,503,282,502,649,603,256,800,800,102,649,501,500,501,649,502,500,503,501,501,500,502,282,500,334,500,800,649,800,649,503,502,961,800,800,502,502,502,50,503,649,500,501,282,800,502,217,649,501,436,503,503,254,964,504,800,500,282,503,649,501,800,502,649,325,500,649,16,504,504,800,500,800,649,800,774,800,282,800,282,800,649,501,649,503,500,500,502,807,282,282,503,282,888,635,504,800,501,503,501,800,107,503,800,282,500,500,800,503,503,998,759,500,58,501,503,503,504,800,503,503,502,504,649,16,501,800,282,16,649,502,282,282,649,800,501,879,212,500,502,502,649,501,503,501,800,991,502,282,502,504,282,800,502,282,500,502,800,800,501,502,649,16,211,503,800,800,800,502,282,501,218,258,500,503,500,158,503,500,503,800,649,282,502,500,503,649,800,501,502,503,502,649,502,649,502,502,501,501,282,649,500,649,800,800,72,500,346,649,501,501,952,649,649,649,502,501,104,500,502,502,369,501,649,800,253,800,500,502,282,502,500,938,500,282,502,731,500,282,193,670,649,546,593,502,800,501,501,282,501,501,503,500,501,800,649,504,500,502,502,100,282,649,501,503,649,500,649,501,501,501,501,107,649,343,649,649,500,500,503,800,500,697,103,503,649,295,500,501,800,500,649,500,500,300,502,800,999,800,649,282,282,503,501,500,282,115,649,649,501,649,322,502,501,502,502,502,16,16,649,501,649,500,729,500,800,649,639,649,649,501,503,501,502,16,282,649,107,649,593,503,800,503,501,502,500,501,800,800,441,500,503,503,501,68,501,501,502,800,649,649,329,649,282,503,800,649,504,503,800,503,16,649,503,503,502,503,502,501,501,800,649,807,501,649,649,503,500,649,503,500,500,800,649,649,282,834,500,800,503,501,503,500,291,16,649,503,501,503,16,503,866,500,649,501,800,977,800,503,649,649,649,800,984,501,282,649,16,830,503,503,500,800,16,800,800,501,901,503,159,485,500,282,282,500,649,649,500,503,662,526,800,800,649,502,501,699,501,501,649,282,649,388,501,502,503,503,501,502,501,503,649,649,502,503,503,500,649,649,282,500,503,649,394,500,282,501,649,419,503,759,503,91,16,502,500,500,800,501,500,504,502,503,282,800,502,282,502,649,800,649,649,282,800,501,649,501,16,171,107,476,502,504,344,503,623,501,800,500,502,501,800,649,502,800,649,502,502,501,501,282,501,502,501,500,800,282,649,282,500,282,500,282,500,800,16,649,107,502,503,503,800,502,501,649,596,500,800,502,503,800,501,800,282,502,649,503,813,502,501,800,654,500,709,503,502,649,500,16,107,16,500,503,504,282,500,800,500,282,501,649,500,800,502,800,501,500,800,649,502,800,501,800,282,503,282,575,282,500,502,500,800,282,800,800,501,501,282,500,649,500,503,501,800,500,649,649,800,502,612,800,705,503,500,552,536,981,164,800,800,40,649,282,800,282,649,502,500,502,777,503,500,502,503,649,501,16,649,282,16,800,16,282,800,411,194,504,271,360,500,649,321,16,503,501,649,500,649,502,502,800,649,501,800,500,503,502,500,649,800,649,502,800,503,800,500,649,501,649,807,502,503,16,40,503,800,611,501,501,282,501,503,503,800,800,679,502,503,502,501,893,284,16,16,500,503,503,965,282,500,649,502,649,501,503,649,501,800,500,649,260,501,800,503,503,503,282,282,116,282,16,649,724,895,502,503,500,502,16,500,502,800,504,107,649,503,542,504,800,800,649,502,16,501,649,503,16,649,502,649,506,503,502,501,503,649,800,502,800,282,504,502,16,16,503,500,503,282,501,241,500,800,449,649,501,503,501,649,503,502,800,501,800,649,503,503,800,503,282,500,649,800,502,800,502,649,500,800,649,501,502,501,502,502,984,501,501,500,16,501,576,649,503,502,502,649,500,504,502,800,500,649,501,282,387,502,500,800,800,503,500,649,800,800,502,649,649,649,649,502,282,500,502,503,501,800,9,502,406,649,504,245,500,16,649,16,500,649,501,501,503,502,94,282,16,501,501,500,502,816,503,800,501,503,703,504,502,502,500,282,501,502,800,869,800,649,649,204,800,649,95,75,800,800,502,800,649,649,800,800,800,800,502,503,800,502,649,649,503,800,800,800,503,503,282,800,16,502,500,649,503,16,697,502,501,501,502,503,501,800,649,959,501,500,500,282,800,282,503,800,800,502,503,501,649,282,503,282,502,503,501,503,502,800,502,649,501,103,503,502,502,455,502,800,500,502,502,324,649,282,501,500,649,503,800,502,504,649,288,501,649,503,282,107,600,800,502,500,501,504,800,501,424,450,16,807,282,800,501,800,500,557,501,164,502,649,502,865,502,503,503,327,649,503,501,794,502,282,161,500,500,282,503,800,504,282,503,947,800,800,501,649,714,800,503,16,649,649,500,649,649,649,16,282,16,501,763,501,500,501,800,501,340,649,503,649,502,500,500,500,497,503,503,800,282,488,915,500,502,983,800,501,500,52,504,502,500,502,649,502,800,800,501,500,500,800,502,800,282,500,501,503,503,95,503,501,502,502,501,16,502,503,503,502,770,649,282,649,282,500,649,649,424,501,282,800,294,501,282,649,503,282,800,501,649,504,103,500,502,503,500,649,500,500,800,649,500,845,291,800,305,282,501,501,160,800,800,503,649,800,500,649,282,500,503,503,649,282,997,502,649,502,501,649,166,500,503,502,501,503,282,502,282,502,649,504,501,501,503,649,282,503,500,503,547,501,502,502,262,501,393,500,735,73,500,501,503,70,503,312,500,979,649,107,649,282,502,503,500,282,353,503,502,282,502,75,16,800,282,649,502,649,500,282,649,500,649,16,649,983,501,649,800,501,649,305,783,500,501,602,812,503,282,502,503,503,501,500,503,99,800,649,500,649,800,502,209,500,500,142,663,500,16,800,501,502,649,107,649,501,501,501,500,501,500,124,502,501,800,649,502,800,500,282,932,282,173,800,282,121,807,502,800,16,800,501,500,176,503,986,282,501,966,500,800,500,103,649,500,500,502,503,503,103,501,800,649,501,800,503,503,649,649,504,282,501,503,503,282,502,649,502,502,500,501,424,503,337,383,503,800,800,501,502,504,729,503,501,501,500,502,503,501,649,502,501,500,502,501,282,282,800,500,649,500,502,500,502,103,501,282,800,598,800,500,107,408,282,107,501,502,282,697,502,800,502,801,649,649,282,503,649,502,502,500,649,501,502,800,649,807,500,502,649,502,649,280,501,282,623,800,501,502,502,502,877,282,503,501,503,500,800,16,500,503,503,282,649,502,282,503,649,501,649,649,245,16,502,282,502,649,649,649,649,282,800,800,503,502,800,649,800,553,800,502,800,800,503,503,501,479,800,502,649,649,704,502,500,649,679,107,501,103,502,502,239,502,282,502,649,649,103,500,649,649,436,503,107,800,501,649,501,502,501,649,502,905,649,282,16,502,503,502,503,502,501,282,502,500,502,993,500,107,500,503,649,800,502,786,500,504,282,501,800,906,593,800,503,503,282,500,502,502,800,107,503,501,282,649,705,800,502,502,282,649,649,501,800,500,800,500,500,649,649,282,649,501,503,695,649,282,503,649,503,649,800,502,501,649,649,649,800,649,502,800,649,503,282,502,957,800,503,282,473,107,649,503,500,649,649,503,500,424,247,501,503,649,434,553,649,501,649,500,649,502,649,500,502,502,800,800,502,500,800,502,282,500,938,282,503,282,649,282,500,500,502,649,649,502,500,282,649,501,100,502,500,800,16,501,502,282,500,500,649,103,800,649,800,16,470,502,503,503,501,501,282,320,282,795,501,500,502,500,502,418,501,502,655,500,500,500,334,282,488,282,500,800,501,147,541,502,800,500,282,502,502,503,99,503,501,16,193,603,282,1000,282,502,458,649,282,501,282,705,501,800,501,503,501,504,502,800,502,503,282,502,800,282,502,503,503,800,610,502,649,501,918,649,501,282,502,502,282,501,503,800,501,502,502,500,500,502,649,502,502,423,503,500,501,649,501,920,502,415,502,502,483,282,800,503,501,501,503,800,501,365,649,502,800,502,502,501,501,800,800,649,503,649,502,800,649,800,543,500,727,501,282,502,782,422,840,282,502,800,825,502,503,502,500,502,800,500,500,107,501,500,800,502,502,500,249,503,649,107,471,16,649,492,16,800,501,649,502,800,649,649,500,501,800,502,500,504,501,800,168,501,501,282,800,649,649,649,719,500,282,282,501,282,649,500,800,800,503,500,503,501,502,501,502,282,647,500,501,649,649,504,501,800,500,107,503,800,501,38,649,806,530,800,500,503,503,168,243,649,502,503,500,502,500,620,501,502,502,100,503,501,501,800,500,676,501,502,503,501,800,800,500,502,501,503,649,649,800,710,502,501,800,649,502,649,503,400,649,800,800,800,500,800,501,503,503,500,501,821,649,502,649,502,107,502,502,282,501,800,16,502,719,321,60,501,501,500,649,503,311,501,500,500,502,500,501,504,891,502,800,103,503,504,282,649,502,16,500,500,502,160,914,501,504,649,649,502,16,500,800,108,503,504,503,503,932,502,500,282,16,501,748,503,556,500,151,500,501,282,800,649,282,649,649,848,502,282,501,500,282,501,503,16,502,502,503,649,503,501,502,649,649,800,16,503,800,502,500,502,649,501,501,503,282,502,107,503,649,800,500,503,649,705,282,649,172,73,501,502,282,649,800,800,800,409,501,800,502,500,501,500,501,800,649,800,758,800,502,818,503,503,503,502,800,16,649,502,649,521,501,649,503,649,16,148,649,649,501,649,500,501,502,800,501,649,500,503,629,800,800,282,800,649,800,282,16,649,500,503,282,503,501,501,500,501,503,649,501,800,501,436,800,785,100,800,649,501,800,500,500,500,316,501,500,649,800,503,504,501,49,539,800,501,504,500,800,502,434,800,503,60,501,800,502,503,503,107,500,282,649,649,282,800,501,501,501,500,503,100,800,649,502,500,16,501,282,397,16,16,502,502,501,501,282,649,55,800,502,500,649,800,570,800,282,503,502,649,502,282,800,649,500,649,282,500,800,502,649,502,502,282,974,649,502,500,249,282,834,349,191,282,503,649,16,502,501,500,501,503,800,503,649,649,800,501,800,282,282,478,16,501,504,581,649,649,502,16,800,503,503,502,649,649,800,503,501,649,649,800,282,501,282,649,262,503,800,820,502,502,501,503,16,500,500,503,502,500,502,501,800,503,800,981,801,501,282,649,501,649,500,503,502,501,500,501,282,502,503,503,604,500,503,98,501,282,501,356,684,800,500,500,282,500,503,270,503,501,501,169,500,503,500,502,216,504,282,501,800,500,282,501,791,501,800,503,282,502,171,502,501,501,500,501,502,800,500,502,800,503,728,215,502,800,501,484,282,103,501,503,501,500,649,578,16,16,501,502,800,500,503,649,649,501,501,800,502,10,800,800,503,502,503,503,503,800,501,502,800,649,502,500,500,501,107,649,16,500,503,500,649,477,282,500,500,501,500,800,500,649,649,113,503,372,800,500,649,649,500,500,282,502,649,649,282,649,503,800,649,503,604,502,16,503,502,649,282,318,773,504,501,502,649,282,231,236,800,502,111,107,800,649,500,500,702,731,649,815,501,500,502,502,800,502,500,649,501,800,500,500,501,503,502,503,503,649,800,502,16,500,427,511,503,282,502,282,503,503,800,500,501,503,501,800,800,282,800,649,501,501,16,963,649,502,503,649,581,800,502,584,503,649,409,731,503,360,606,282,800,503,500,500,649,282,503,16,725,500,649,501,503,502,501,500,503,501,737,800,502,500,502,501,649,502,649,942,502,503,500,282,500,282,16,176,800,800,504,649,800,500,502,209,504,503,503,502,649,999,800,908,503,503,502,800,649,495,16,800,500,800,649,856,649,282,503,502,649,800,800,282,649,649,503,800,800,503,502,500,502,282,502,502,501,503,649,800,282,800,500,500,800,500,501,282,800,502,500,800,502,149,769,501,500,503,800,503,649,501,503,500,502,500,501,502,800,500,502,501,502,502,501,503,800,107,610,800,800,80,501,500,356,502,882,649,282,649,500,501,501,107,16,502,800,502,800,649,500,977,501,502,502,204,501,502,500,649,500,639,800,500,500,503,800,649,553,16,500,157,649,649,501,649,501,501,119,501,500,302,16,800,649,501,16,500,800,500,282,502,502,649,649,800,500,503,575,503,500,649,649,800,434,107,836,502,503,800,16,500,503,504,501,16,502,502,502,501,502,800,502,501,501,649,282,649,502,649,503,282,282,500,649,282,501,107,500,501,282,502,975,800,500,503,501,800,649,282,913,800,16,501,182,282,800,500,776,500,107,282,501,282,16,502,502,800,500,503,800,503,649,410,16,502,502,502,501,649,649,500,649,501,503,715,649,741,500,504,800,503,800,500,282,16,800,503,480,800,501,503,800,503,502,500,503,282,695,500,500,800,501,806,503,503,504,500,501,649,649,282,800,325,502,502,649,501,800,609,501,16,649,503,503,503,503,502,501,503,503,647,500,501,501,800,501,500,502,501,501,500,804,800,705,16,500,649,107,501,800,800,500,649,500,759,181,500,501,113,503,16,719,501,16,715,747,103,723,322,800,800,501,503,649,800,501,502,502,16,649,501,502,501,503,649,500,282,502,807,83,502,502,503,375,107,501,649,502,313,502,311,503,500,986,500,16,502,282,500,501,936,282,500,501,649,501,503,501,502,501,503,500,649,644,502,500,500,800,502,502,649,713,501,503,16,500,501,800,501,503,649,503,800,282,503,492,649,124,107,500,800,501,800,502,282,500,47,800,502,649,502,503,500,502,800,649,502,16,282,501,649,501,500,500,649,501,501,282,502,502,282,500,501,503,282,501,350,500,501,739,649,649,501,500,503,649,649,282,630,501,649,282,501,800,500,649,503,503,800,16,800,500,503,442,800,282,502,500,502,800,501,500,503,649,502,500,500,500,907,800,501,500,800,649,497,500,649,800,800,501,800,649,649,503,800,502,502,501,649,500,502,503,501,355,501,800,504,502,649,800,789,501,442,500,502,502,501,649,503,502,282,501,502,800,282,500,800,282,503,800,502,502,503,500,649,500,282,649,500,649,503,503,503,800,501,502,649,502,800,502,649,16,502,503,862,503,503,503,800,502,502,16,502,501,500,883,501,649,500,847,649,500,649,500,649,501,16,800,500,501,649,503,503,501,501,503,649,282,502,496,649,800,501,501,107,277,800,502,649,503,800,503,501,800,501,500,858,800,16,649,500,500,500,500,649,503,908,282,560,784,649,501,649,503,502,501,800,500,500,501,282,500,501,800,500,500,502,649,282,503,503,503,503,502,800,874,800,259,649,500,501,800,501,120,16,502,757,500,500,800,649,502,103,500,163,800,502,502,800,525,503,528,502,500,649,503,500,503,500,502,282,800,500,800,501,501,649,502,501,84,46,916,800,500,502,501,649,502,503,501,649,500,501,640,500,800,501,503,282,502,800,502,649,800,282,503,189,503,649,501,501,800,501,502,649,503,500,800,502,502,502,503,282,282,501,502,686,503,502,503,601,800,501,501,502,501,800,503,507,649,670,649,649,503,736,649,501,503,107,649,502,800,649,544,860,119,502,502,282,503,421,16,800,649,500,649,501,649,327,107,649,649,503,888,503,206,649,500,800,500,504,501,502,500,501,501,16,705,282,800,282,504,502,501,503,500,649,603,503,500,800,502,501,502,502,501,503,282,500,537,800,800,16,649,649,502,649,504,500,503,800,503,649,16,649,503,649,649,503,800,107,271,800,649,85,649,502,282,649,649,502,503,503,501,800,500,502,107,800,649,503,503,282,500,446,875,285,649,649,500,800,800,649,649,800,20,500,800,649,503,503,502,430,504,502,649,800,649,501,500,523,649,571,16,501,503,503,503,649,500,500,503,649,503,502,282,800,503,503,502,501,649,500,500,282,649,649,16,503,282,282,103,649,500,500,503,500,503,529,502,501,800,280,504,504,502,548,800,649,500,501,503,800,503,972,503,992,501,500,143,502,503,502,649,502,500,800,282,282,501,321,704,369,502,800,502,502,502,925,16,502,741,343,942,282,502,501,500,649,500,128,502,500,282,649,501,107,501,500,540,502,501,800,330,800,501,503,800,649,649,501,503,16,751,897,800,852,800,800,800,503,500,352,500,501,800,716,502,503,649,800,800,503,504,705,503,800,282,649,282,503,502,500,501,503,501,501,381,16,502,800,16,649,800,615,282,503,501,282,503,800,649,290,16,503,800,502,649,800,800,800,500,501,501,725,502,503,501,282,853,282,807,16,502,800,502,649,502,107,500,503,800,107,162,107,501,501,107,800,649,649,17,501,705,800,474,800,500,649,501,501,16,649,672,504,86,859,501,649,649,502,500,500,800,502,649,503,502,500,501,502,904,800,501,500,502,800,501,800,744,800,649,282,649,98,482,500,501,503,502,501,500,649,501,503,504,107,649,800,501,72,503,800,282,502,503,501,503,501,502,342,500,600,800,501,503,502,16,467,501,16,502,282,501,502,800,649,503,649,282,502,501,503,107,502,502,503,502,800,504,503,649,924,501,800,500,500,503,649,502,800,503,705,800,501,282,503,649,501,800,501,502,800,501,800,502,502,500,100,579,503,502,501,501,16,503,800,14,502,502,203,979,378,500,649,800,411,649,504,501,915,501,501,503,649,503,282,649,502,502,501,649,800,800,502,501,16,408,501,502,500,800,649,800,503,487,502,503,649,501,649,649,501,649,649,502,502,502,503,800,282,504,649,649,503,502,800,282,282,230,500,542,145,503,800,646,500,186,282,139,800,16,800,800,503,502,502,501,107,649,501,800,800,501,772,800,800,504,500,502,922,500,500,501,503,862,501,503,501,501,620,501,649,800,502,649,649,500,800,500,16,502,717,502,577,518,353,282,16,503,500,800,649,800,282,501,502,800,404,504,282,504,800,649,503,403,503,10,501,500,800,503,501,604,354,800,500,502,800,800,800,282,500,800,649,503,502,501,503,502,500,800,800,584,282,800,584,107,800,800,649,502,250,107,501,504,649,596,500,501,503,282,282,649,503,107,649,503,501,501,282,502,503,107,502,502,282,649,800,502,649,536,800,703,800,500,502,603,16,649,502,800,384,77,649,3,500,16,500,503,649,502,502,500,503,500,581,503,500,504,503,502,981,502,503,503,649,503,800,705,107,501,407,501,500,282,500,500,649,800,800,502,649,501,800,500,501,503,500,649,501,657,503,501,16,800,107,649,502,649,649,502,61,649,649,503,800,502,800,501,502,500,360,500,501,282,503,800,300,649,502,800,641,503,564,401,502,503,649,502,16,800,502,282,649,500,649,504,500,649,503,800,649,800,500,502,500,107,282,649,282,500,501,417,282,649,502,503,500,696,501,500,649,705,503,500,501,503,282,502,500,500,60,649,282,501,800,800,501,502,282,99,502,500,800,503,42,800,800,649,500,705,800,800,800,503,502,501,503,502,501,504,500,800,500,502,3,16,16,501,503,501,649,502,107,501,64,502,501,16,503,500,286,502,555,649,800,500,649,800,501,282,500,837,526,282,501,500,502,502,800,500,526,503,674,501,649,800,503,501,800,88,502,501,500,649,501,501,500,984,649,500,501,800,701,649,500,800,501,904,649,649,502,500,282,500,500,502,503,649,219,800,503,503,282,503,500,649,282,503,924,503,503,770,330,503,696,502,502,551,649,502,649,501,502,107,504,501,502,800,502,170,16,502,538,16,800,649,502,649,500,800,649,500,282,502,800,911,502,500,282,500,800,800,503,282,800,503,500,115,503,649,16,800,790,501,282,500,379,503,500,501,504,502,44,395,956,954,500,800,503,649,64,501,500,501,103,500,649,27,503,502,502,503,303,282,107,502,504,504,503,649,501,501,649,501,503,282,503,501,503,502,649,16,649,503,649,503,649,500,500,15,500,800,500,502,502,502,800,502,501,501,500,503,502,500,649,503,501,650,172,502,502,135,500,348,649,28,501,500,500,649,649,503,282,501,500,501,501,800,800,503,282,649,503,191,501,501,282,503,16,500,503,800,959,649,269,649,995,501,471,282,649,501,502,501,500,501,649,282,501,614,800,649,16,649,502,282,800,649,282,502,503,501,500,501,501,384,500,16,502,503,282,649,502,501,501,933,16,800,500,180,503,800,502,16,649,938,107,500,500,838,501,500,500,501,282,285,503,501,16,107,500,501,502,748,503,649,649,649,502,502,649,500,503,698,502,800,800,502,649,503,501,93,800,502,649,201,500,800,800,502,502,282,503,501,800,502,501,500,649,500,800,503,502,282,503,500,501,503,504,394,528,705,329,503,649,502,501,503,502,649,103,604,282,501,649,968,500,16,500,502,502,282,649,500,500,501,503,500,800,800,501,16,649,502,509,503,503,501,649,501,649,649,501,165,800,649,577,502,800,502,501,649,543,945,500,290,282,500,16,500,800,502,502,649,501,282,984,800,800,500,501,283,500,500,500,649,282,503,502,500,649,500,502,666,501,649,500,16,649,501,503,502,500,642,800,503,500,501,16,503,653,503,502,995,502,6,501,254,503,649,4,16,501,146,500,282,502,649,649,282,282,416,502,502,502,800,501,503,30,503,502,500,282,630,502,649,503,500,500,800,800,503,502,503,149,649,502,500,282,503,649,282,371,649,500,500,502,500,384,800,455,503,649,282,800,862,231,800,107,649,800,649,503,502,282,583,217,502,502,501,500,310,282,649,649,500,503,800,282,501,649,647,16,502,500,970,282,503,50,800,306,502,480,800,649,501,134,443,501,500,800,649,40,502,961,503,800,800,501,503,502,230,500,649,800,955,503,739,904,649,800,502,503,649,503,502,800,282,502,848,500,500,649,186,517,502,282,649,649,800,649,502,503,503,649,800,528,503,800,756,649,282,807,501,501,649,492,502,963,800,282,649,800,501,501,503,649,501,649,500,107,649,649,501,504,502,482,800,282,502,946,649,82,500,501,500,800,16,502,16,311,807,500,501,501,500,282,649,501,501,800,863,501,800,500,649,500,501,500,502,282,800,25,501,503,502,282,503,595,503,282,413,502,282,649,649,503,649,503,800,503,241,800,441,502,501,649,282,503,353,502,649,501,503,502,784,649,649,649,503,800,800,649,800,649,502,500,501,500,282,503,196,501,500,502,649,163,500,282,502,500,502,800,282,192,501,502,649,502,500,500,282,504,800,964,412,502,500,449,501,503,502,500,649,800,501,501,503,502,503,501,504,500,800,503,502,800,800,649,482,501,502,649,504,500,800,16,649,501,800,501,571,282,503,962,501,16,500,800,282,501,16,503,502,948,502,16,500,500,503,503,282,282,500,500,502,16,502,282,947,800,502,800,501,586,502,501,282,503,500,649,502,503,649,502,374,503,503,503,649,649,500,282,800,800,107,502,503,500,16,503,500,282,649,500,107,502,500,501,387,649,501,800,502,649,501,502,890,649,649,502,649,503,103,500,504,503,649,649,501,800,948,901,501,800,649,503,502,503,800,501,502,504,503,649,501,502,502,649,502,320,979,282,282,500,501,502,800,500,502,800,16,504,503,501,501,282,800,500,282,501,256,504,717,503,503,500,503,501,800,16,500,503,649,800,282,16,649,800,500,107,800,677,107,502,16,282,649,649,800,16,500,502,649,800,649,500,681,282,103,800,800,16,649,800,503,649,800,501,649,503,800,649,501,503,503,502,500,503,800,501,906,16,501,500,800,501,503,56,800,503,649,500,500,828,800,501,855,584,191,800,800,752,503,335,501,649,503,503,503,649,500,282,502,107,500,649,501,799,502,282,800,282,501,16,1000,501,503,502,500,649,501,649,500,503,649,503,503,649,502,501,501,180,503,502,649,502,649,282,282,501,501,800,502,649,800,436,500,800,503,649,649,800,501,503,504,500,282,504,800,501,800,500,501,649,500,501,503,811,649,503,800,649,502,504,502,649,800,649,282,849,502,800,649,800,649,500,79,501,103,282,503,800,500,501,502,800,502,979,770,500,502,503,649,284,501,501,800,991,500,500,503,502,502,501,501,500,503,649,282,501,503,500,503,282,502,502,500,117,16,503,502,502,649,800,500,500,649,403,501,800,649,500,502,503,649,501,502,107,64,500,502,800,800,128,500,649,649,649,282,504,649,800,502,502,846,800,500,503,800,503,502,20,501,500,503,282,500,503,800,16,107,282,649,503,800,649,500,502,649,800,503,649,800,103,649,16,324,503,500,800,503,500,800,649,503,503,509,503,107,369,625,649,501,500,502,807,503,649,501,501,988,282,502,500,282,649,800,777,282,649,503,502,500,500,501,501,800,800,502,503,800,501,503,501,800,800,139,503,800,501,503,800,500,733,795,502,504,282,502,503,649,503,503,649,501,958,502,502,502,151,503,502,282,282,16,800,800,502,503,502,282,649,649,728,649,500,340,649,503,800,500,282,649,502,502,501,566,800,502,501,697,649,282,503,649,501,500,500,649,502,649,501,500,800,502,800,501,503,500,502,502,504,282,501,800,501,501,500,649,500,500,503,501,503,800,503,502,282,503,649,622,800,16,282,500,501,3,500,504,781,800,649,500,310,649,703,682,597,500,500,800,649,502,500,500,649,502,257,649,502,649,282,318,167,502,503,649,503,866,800,800,502,501,503,503,581,800,503,800,500,501,16,502,649,501,282,16,501,844,649,504,501,282,501,649,501,800,282,500,500,90,282,501,500,371,500,282,502,649,502,501,999,800,187,500,500,502,800,800,502,502,503,634,836,502,649,501,243,649,800,504,800,282,503,282,501,501,502,998,501,502,821,16,502,282,503,107,800,800,500,501,502,800,16,501,503,649,16,282,503,503,800,800,522,501,107,16,503,397,501,787,800,282,800,800,16,16,503,649,500,504,800,501,418,502,501,503,502,503,502,502,800,864,501,649,501,800,500,751,500,503,875,282,502,501,500,16,800,649,504,503,502,502,649,502,282,501,800,574,874,502,282,503,649,445,502,649,965,800,500,501,800,347,501,649,503,800,282,303,282,502,861,500,503,501,282,500,282,501,649,282,33,282,502,16,501,649,125,800,282,261,800,847,502,800,503,500,800,800,800,649,503,272,525,800,501,503,502,800,503,502,800,800,649,16,500,500,291,503,800,500,501,194,649,502,502,649,503,502,502,504,800,800,282,649,282,649,500,282,16,500,775,501,502,503,503,501,501,503,504,649,503,705,503,310,649,502,501,501,649,800,282,502,502,501,282,502,649,500,64,800,503,501,800,500,502,501,649,503,686,649,500,501,908,501,800,649,16,800,800,502,503,502,800,503,503,800,501,501,501,800,282,800,804,503,649,503,502,501,595,503,649,800,649,800,649,16,502,503,501,503,503,501,502,501,16,501,649,502,800,500,649,502,649,502,501,503,147,503,503,800,800,800,501,619,315,501,282,800,800,500,169,649,500,92,501,16,649,503,503,16,502,649,815,16,649,503,770,16,614,501,500,502,524,502,649,502,501,705,649,800,282,435,282,649,783,503,500,503,500,502,800,375,502,282,16,503,16,16,649,501,282,503,502,800,502,500,501,502,884,673,500,500,503,503,504,649,500,500,282,16,760,502,800,500,800,501,502,649,800,709,800,500,649,503,501,282,501,500,800,800,502,503,649,501,649,502,649,503,503,16,649,500,800,16,503,503,282,504,649,500,502,500,649,800,504,599,501,310,503,649,502,502,501,339,778,282,502,649,804,502,504,649,800,58,500,800,358,503,502,500,501,502,503,649,800,500,501,501,501,875,500,501,800,502,500,501,501,501,501,16,800,800,800,501,649,501,800,501,502,557,649,46,141,800,649,563,501,500,500,501,649,503,800,649,501,501,502,649,408,461,503,500,800,800,503,603,501,501,282,500,500,800,500,282,820,137,800,503,939,800,502,282,501,502,851,873,501,500,16,503,282,800,503,502,502,16,503,16,504,501,800,502,880,997,501,16,800,501,501,16,649,282,501,282,500,503,282,107,502,500,500,500,500,502,282,502,503,500,503,502,501,501,500,501,501,501,282,16,415,504,27,321,564,500,800,800,501,107,500,500,800,710,500,282,282,556,282,554,649,503,282,500,503,502,503,47,502,503,500,800,501,503,800,649,503,800,282,772,649,180,649,282,501,9,501,502,500,501,503,500,502,800,503,503,800,500,800,503,501,649,502,80,503,649,502,848,282,501,500,800,501,800,500,800,649,503,501,800,500,502,503,501,502,800,807,974,501,500,502,500,503,800,43,955,800,800,800,649,503,502,502,501,596,501,800,502,503,503,800,590,501,500,503,649,500,987,16,501,502,501,800,282,500,649,502,503,503,501,432,502,649,502,502,500,87,649,282,649,503,800,649,501,800,800,500,501,502,649,649,500,502,501,502,800,503,282,500,503,504,502,502,500,501,800,227,649,800,282,502,503,649,990,503,800,800,503,500,649,502,501,400,502,502,5,500,502,503,503,503,800,800,503,800,500,333,502,502,502,503,503,504,501,800,503,501,696,800,282,649,500,800,503,503,501,504,800,649,807,503,502,503,236,800,282,649,282,649,504,800,800,649,800,430,502,282,649,649,503,800,16,800,504,502,502,501,503,501,503,503,500,501,500,501,16,16,501,502,500,503,503,649,800,800,500,282,501,501,649,500,502,107,282,502,500,502,117,502,800,16,649,649,501,504,282,800,800,800,501,649,282,800,649,502,503,800,501,649,502,800,500,800,503,503,500,500,500,503,501,800,35,118,282,502,649,501,502,800,503,502,501,500,634,649,707,649,800,501,503,888,800,800,317,201,800,503,502,501,649,502,502,503,501,500,282,301,500,800,411,501,504,282,503,649,800,861,501,282,282,501,502,503,73,649,52,16,282,502,503,800,16,649,202,282,501,800,111,282,658,864,800,874,502,500,501,500,503,500,16,500,800,500,107,282,800,800,913,503,800,502,547,503,500,800,502,502,502,16,800,171,502,500,21,807,500,800,502,502,500,503,500,502,500,800,503,500,502,501,282,800,800,503,501,800,502,501,649,150,649,282,800,501,649,500,800,502,509,800,503,282,490,502,502,16,282,649,1,500,649,502,16,504,502,16,501,501,503,589,282,778,503,500,57,800,800,800,800,282,649,800,800,16,649,649,503,800,649,282,503,502,449,502,501,501,16,501,614,500,501,800,502,503,16,649,282,16,649,800,502,330,502,649,500,282,503,502,800,502,502,503,282,16,693,502,500,503,282,503,800,501,800,500,503,502,500,501,649,503,500,501,800,503,282,500,800,800,649,649,649,649,500,870,503,282,503,800,501,800,501,865,503,649,500,500,778,503,503,107,502,332,16,800,501,502,282,649,607,649,503,501,800,500,501,503,649,800,282,282,800,487,483,500,800,503,500,503,501,503,500,282,16,800,649,898,649,501,500,501,381,800,649,800,361,503,800,800,503,501,500,500,503,502,503,501,107,500,649,800,503,800,500,500,800,501,503,282,500,625,500,502,800,649,800,500,16,503,500,800,16,502,800,502,501,502,649,500,649,501,16,500,104,282,500,502,502,800,503,649,800,800,649,143,504,487,502,501,807,501,282,500,649,800,800,503,502,649,800,500,602,503,501,502,503,502,604,502,502,500,500,800,501,500,503,649,608,501,800,501,503,800,501,89,502,800,649,649,502,502,502,282,800,502,649,282,246,800,502,501,501,282,503,800,501,116,503,800,500,649,504,501,391,503,503,649,503,501,502,500,502,800,503,649,500,800,502,501,282,503,503,500,800,501,502,282,502,501,649,501,500,503,741,649,470,800,502,282,503,503,500,500,503,503,502,658,787,329,501,500,800,454,502,16,150,501,502,501,500,800,649,649,501,501,503,649,800,800,502,282,652,500,278,649,501,800,800,503,502,211,526,502,500,705,502,800,502,503,547,503,503,503,501,649,35,103,502,649,503,866,282,503,649,501,503,501,800,745,502,500,909,503,506,503,282,649,16,649,502,582,500,503,502,502,501,443,501,502,282,500,554,500,800,502,502,503,500,282,501,16,500,503,502,282,987,503,282,800,649,649,800,800,503,503,500,500,501,8,503,502,502,800,502,503,800,745,914,800,776,514,514,503,503,310,282,800,800,849,501,501,503,500,649,800,503,16,16,502,502,649,709,684,500,800,501,800,501,68,715,502,501,282,649,504,649,501,800,501,502,649,523,649,507,649,503,501,501,76,500,500,282,712,912,982,501,800,282,502,500,502,800,800,503,649,503,649,500,501,502,649,500,500,155,502,503,649,500,780,501,502,800,501,500,503,500,502,501,504,649,649,16,878,503,503,15,501,502,479,684,502,800,501,502,16,282,395,501,16,502,500,502,282,501,502,502,800,282,103,503,503,282,501,501,800,503,500,503,503,503,502,500,503,119,532,502,800,649,502,351,189,501,502,800,800,800,502,946,649,500,503,500,502,282,501,500,501,16,500,800,293,504,502,500,501,502,282,351,503,800,800,660,282,204,800,503,649,501,668,275,800,500,500,502,305,442,503,614,501,446,502,501,107,501,502,504,500,282,649,649,649,800,649,502,291,649,649,501,800,814,502,502,800,502,502,501,405,501,503,282,705,502,215,800,649,672,434,282,501,502,501,500,800,502,500,501,504,807,500,16,501,649,612,501,501,649,649,503,927,500,807,649,502,500,502,501,502,649,800,107,500,500,502,282,501,501,604,649,503,868,502,934,502,503,649,649,500,16,500,282,800,282,501,300,386,649,16,502,503,503,500,502,501,282,502,502,16,502,500,502,502,501,800,107,376,649,500,503,164,500,649,501,800,501,649,502,503,503,800,261,500,502,502,800,572,500,107,800,502,501,522,502,649,800,800,966,282,16,500,800,500,282,800,500,502,501,800,504,649,503,502,282,282,311,102,282,649,502,649,500,282,800,107,649,649,800,103,501,800,29,500,501,502,282,500,502,800,649,800,500,649,501,502,504,503,800,502,800,501,649,800,501,503,800,649,649,504,500,483,500,502,500,500,35,282,649,503,282,500,649,649,502,973,502,502,16,500,501,103,502,649,649,501,282,501,500,282,869,503,16,503,504,282,500,16,282,500,501,915,649,649,503,503,501,649,649,501,282,956,502,503,800,501,502,457,355,649,503,800,501,502,649,107,502,649,504,475,800,800,501,970,800,502,800,800,500,500,649,649,501,649,800,282,502,800,952,806,503,649,501,500,503,500,502,503,800,500,501,649,503,502,502,800,501,245,649,503,800,500,684,503,500,501,16,500,649,501,649,502,502,800,503,501,96,500,800,282,501,16,800,504,502,503,945,501,69,500,16,649,502,301,649,503,16,649,282,501,767,800,87,800,500,503,502,501,501,316,649,501,503,579,503,502,800,884,223,500,282,501,501,429,649,501,503,282,16,282,503,107,503,502,75,502,502,503,502,501,705,800,649,61,501,800,503,16,500,501,778,16,502,649,503,503,800,503,649,501,361,649,503,502,282,502,500,501,78,480,502,500,503,649,503,328,512,282,500,502,846,649,501,16,501,500,500,501,502,6,501,782,501,500,16,502,504,800,800,501,649,282,282,800,800,115,500,502,401,145,448,502,500,502,501,503,535,502,649,502,500,649,503,501,649,502,502,429,662,501,649,503,503,574,282,800,800,103,503,282,930,800,501,800,503,500,800,16,502,500,800,649,500,417,502,282,291,282,389,800,500,502,500,501,260,800,649,500,223,649,500,800,172,502,282,502,503,649,503,690,501,349,800,734,503,800,800,649,282,795,282,503,800,282,887,503,800,502,800,501,502,800,502,501,500,282,501,800,103,500,503,500,503,282,501,16,500,282,780,691,501,649,503,502,649,501,503,502,16,502,500,501,502,504,500,107,501,800,501,25,502,502,500,500,504,800,503,503,502,503,501,788,502,800,500,800,649,978,523,502,800,500,502,502,649,502,502,649,500,649,800,500,107,500,800,502,618,293,503,800,282,103,503,386,649,282,502,649,649,649,501,503,282,784,91,501,501,649,800,500,649,500,282,503,220,503,649,503,649,501,800,502,503,500,112,800,503,501,261,502,503,649,649,503,649,502,107,649,649,500,500,500,503,503,503,500,502,649,503,501,501,72,268,229,282,500,649,282,503,501,800,16,282,800,502,503,649,503,502,807,500,503,423,501,367,502,800,503,500,503,501,800,282,503,649,502,501,800,503,504,502,16,710,800,502,502,800,800,500,500,503,649,501,500,800,282,800,107,502,532,107,501,504,241,649,501,718,503,712,501,649,503,649,501,502,500,500,800,800,649,500,800,502,649,103,649,306,502,502,71,649,16,649,502,649,503,95,649,282,649,649,500,871,16,649,500,107,500,503,503,503,800,502,847,503,501,502,501,503,649,800,282,501,649,502,500,503,500,649,918,649,282,285,800,649,504,649,501,500,500,649,23,501,502,649,483,649,501,800,501,800,649,501,500,649,500,503,282,800,503,800,649,401,500,500,649,502,16,501,500,16,16,500,501,500,282,503,649,308,502,502,503,993,800,500,501,504,649,649,800,800,649,500,231,503,282,503,800,800,502,502,282,502,501,502,500,502,800,800,800,103,739,502,501,502,500,16,649,364,282,500,649,500,890,502,503,502,800,501,503,503,503,502,503,649,500,800,313,501,503,503,435,16,500,502,649,500,502,503,502,282,282,502,503,502,501,502,503,501,649,649,800,740,502,502,800,282,501,282,649,800,502,938,501,503,503,800,630,501,282,649,622,649,503,519,501,501,503,502,503,174,501,500,500,500,282,16,800,649,649,501,503,503,500,800,502,503,503,502,800,501,282,500,649,649,27,504,649,503,386,503,16,500,500,502,504,800,501,502,503,504,258,502,800,649,500,800,501,500,16,501,503,500,655,503,707,649,502,282,503,502,503,800,502,501,502,800,502,502,502,16,800,500,502,502,502,501,501,783,239,503,649,501,649,741,503,282,502,504,200,800,800,282,649,503,504,800,501,502,800,503,282,385,446,502,504,649,500,946,107,500,502,282,649,35,46,501,500,16,282,501,282,500,282,501,690,503,502,649,649,501,649,649,502,502,649,282,501,649,800,501,500,501,282,503,800,107,800,502,282,221,502,500,649,800,107,503,502,503,16,503,807,501,501,482,504,500,964,500,501,235,500,649,500,501,913,282,16,800,800,161,67,800,504,500,740,501,501,800,16,503,500,649,502,649,502,16,219,503,502,502,502,649,649,649,800,502,585,649,501,500,502,503,16,649,649,800,826,365,503,503,282,500,769,501,500,501,299,500,503,500,800,16,503,649,424,629,501,503,501,800,337,800,503,282,502,502,501,649,649,501,851,282,800,109,500,501,500,365,107,278,879,503,649,649,282,503,107,500,500,649,1,503,502,500,503,649,649,16,800,282,362,503,16,503,501,928,16,502,666,500,649,800,551,500,800,261,800,503,282,282,107,732,503,649,503,649,501,649,282,649,502,43,503,70,502,500,502,502,504,817,800,813,649,350,501,649,877,501,800,800,800,649,282,649,649,503,490,282,800,282,501,649,501,500,800,503,800,649,800,502,501,503,16,800,501,501,705,553,282,16,249,26,649,500,500,282,504,502,500,502,282,800,649,649,649,501,501,501,91,616,800,649,103,500,16,503,103,503,501,22,502,649,501,16,500,800,649,500,500,640,503,16,282,15,501,500,503,995,800,500,503,312,502,282,649,649,500,649,500,501,649,503,501,501,79,502,503,390,800,107,282,800,500,16,649,618,739,500,800,800,501,282,282,649,282,282,282,501,502,500,800,282,500,649,502,16,800,501,501,502,649,800,502,503,649,589,500,800,501,503,503,649,503,282,502,800,107,502,649,282,500,800,504,800,503,527,282,908,800,503,502,503,800,502,503,501,649,504,128,649,649,32,504,16,649,694,503,503,500,503,500,800,16,800,501,282,500,501,500,503,500,800,502,502,503,282,500,502,501,502,503,501,500,827,649,502,502,16,503,938,800,649,501,501,500,501,501,503,502,500,503,649,264,501,340,501,502,16,649,649,800,500,917,504,649,500,503,500,800,524,500,649,800,500,503,501,500,502,503,649,503,225,800,502,282,500,938,665,333,503,649,501,191,620,503,502,501,649,649,502,800,502,144,649,500,800,542,500,649,634,503,649,503,500,501,649,503,500,649,800,752,800,649,503,649,800,800,800,502,500,503,649,649,501,501,503,500,649,502,649,501,649,502,503,502,649,501,649,502,503,500,649,501,161,501,800,500,502,500,954,282,800,660,324,501,502,501,500,501,907,502,500,282,503,16,649,800,502,649,501,649,501,501,501,800,800,157,107,800,500,107,800,500,500,983,966,649,501,503,500,800,649,929,649,503,800,501,649,16,649,649,16,800,500,501,503,649,545,501,649,501,649,107,500,503,282,500,502,649,501,16,500,800,502,502,504,649,800,502,467,282,501,8,502,785,501,800,649,500,427,649,121,502,502,500,502,500,503,649,503,16,800,501,500,502,282,282,500,500,800,502,649,502,649,502,503,502,586,282,770,502,649,503,800,501,800,800,500,503,800,503,705,503,503,800,502,649,220,500,800,500,502,800,502,502,107,649,282,282,282,502,649,502,502,500,153,501,502,800,649,156,800,800,241,500,501,800,501,500,501,500,282,503,500,501,649,503,800,800,649,502,649,501,282,774,800,800,500,649,797,503,800,800,800,649,649,502,800,502,504,16,503,649,649,282,800,502,800,501,282,501,500,107,448,800,649,1000,500,502,627,282,503,649,649,501,282,299,800,500,649,800,500,649,500,502,501,500,649,502,503,503,800,800,502,501,501,500,16,649,414,503,800,503,800,501,503,503,649,503,800,649,500,501,100,649,649,503,502,502,500,649,649,649,503,80,800,800,649,16,800,500,502,502,502,501,503,649,502,503,500,800,501,501,500,503,504,649,575,10,503,503,649,503,503,500,440,649,649,16,649,500,900,632,501,800,502,282,502,501,504,800,500,649,503,500,501,800,800,504,500,800,502,500,646,502,826,16,502,108,503,502,282,800,503,501,500,800,501,501,501,800,740,503,69,504,282,504,500,800,502,351,502,503,649,800,503,800,502,800,502,503,255,148,500,502,500,500,502,268,500,502,502,501,495,500,503,503,502,800,800,282,830,282,368,800,501,282,800,503,800,501,649,500,500,726,503,649,501,649,282,649,502,501,46,501,649,502,500,500,501,632,502,500,16,500,649,800,705,501,282,503,649,16,502,45,800,16,503,800,114,885,107,500,503,649,800,500,800,501,649,503,502,308,504,649,649,502,696,705,501,282,282,800,958,502,502,501,649,500,501,503,784,501,800,501,503,500,500,800,282,500,502,276,796,504,800,502,649,649,649,502,800,503,501,503,503,500,649,282,282,26,503,800,282,500,503,501,500,502,501,502,502,502,500,282,501,503,16,501,16,501,502,649,282,800,502,500,502,502,502,503,503,282,502,649,760,800,649,729,649,502,855,800,501,501,503,887,500,526,500,502,16,649,282,107,501,503,649,501,800,433,800,501,777,705,800,502,800,503,282,503,500,16,504,502,503,282,649,945,107,502,500,502,649,502,800,501,703,16,501,501,282,500,501,501,502,502,16,160,649,649,501,649,503,503,420,800,501,500,502,800,502,501,501,16,503,282,649,649,594,107,649,503,649,649,504,500,800,800,649,503,649,649,500,282,500,107,504,502,800,800,289,107,501,673,800,502,649,649,501,501,501,800,282,103,16,800,649,649,503,503,500,471,502,500,503,282,500,16,501,947,504,500,800,800,440,503,502,649,500,649,500,502,503,501,649,502,501,70,504,500,846,649,502,649,503,500,500,500,282,502,502,500,503,623,500,500,649,223,502,501,800,504,800,503,282,503,503,502,775,800,649,282,501,649,501,649,960,16,649,503,16,800,282,503,649,282,502,282,501,500,502,503,501,504,502,741,503,503,800,449,502,649,649,501,503,503,282,500,800,649,500,649,501,649,500,16,649,500,501,500,16,107,500,800,282,727,649,16,501,500,800,501,500,683,282,800,800,503,936,365,500,503,800,562,282,800,800,800,807,282,503,500,282,503,500,502,800,502,500,502,501,501,501,859,16,800,503,800,282,800,500,825,500,649,282,501,500,501,501,501,500,500,800,215,16,103,649,502,502,800,282,502,800,649,504,649,804,649,800,649,649,791,501,465,16,501,282,501,503,503,282,503,800,649,500,500,16,282,649,502,501,501,394,502,649,649,501,502,501,800,509,282,503,503,502,503,500,503,103,800,500,800,16,800,503,501,502,574,500,252,800,16,282,502,500,649,649,649,742,282,16,501,502,500,500,800,500,649,16,504,502,501,503,503,501,649,649,203,969,800,501,502,16,800,500,649,131,158,800,503,282,503,501,501,649,800,649,296,282,800,503,800,500,501,800,503,800,800,997,107,504,503,649,501,955,501,500,800,649,501,503,800,800,840,282,504,500,649,501,195,649,800,649,503,657,800,649,649,107,503,501,501,649,794,501,500,502,501,800,476,282,649,503,282,282,649,800,502,800,649,282,282,502,503,501,502,502,800,800,502,903,649,502,476,500,500,282,501,800,502,500,800,500,502,282,503,503,800,501,282,649,800,400,503,224,500,501,23,930,501,501,503,503,503,501,501,282,800,649,599,282,502,780,218,502,500,793,649,800,502,503,800,649,500,800,282,800,800,282,362,501,501,500,500,502,502,649,107,649,800,503,780,500,800,649,800,502,282,500,800,800,500,649,500,649,649,282,504,501,800,501,500,321,501,495,66,500,800,71,16,500,16,37,501,504,654,800,501,282,154,649,37,649,500,500,502,500,503,649,800,501,103,500,500,725,503,500,501,503,500,649,504,649,501,107,649,936,503,282,111,649,800,649,103,500,503,500,502,800,500,732,649,502,282,504,501,800,503,800,500,981,397,649,502,503,502,503,282,787,113,800,502,282,649,501,500,500,813,649,800,500,282,502,503,282,503,503,649,649,576,800,800,503,503,501,501,800,502,562,823,800,649,886,502,504,502,500,649,500,649,800,282,16,503,502,502,502,800,504,500,502,502,504,501,501,501,500,358,502,501,282,502,282,282,502,649,502,501,501,502,501,502,800,500,649,107,649,800,500,124,503,649,800,649,503,500,502,649,503,800,649,502,800,800,503,675,800,500,500,502,501,502,649,896,501,501,107,502,502,503,500,800,501,501,500,800,500,503,502,103,800,107,649,501,501,800,800,800,501,501,500,500,503,500,503,501,501,503,649,503,500,282,504,69,501,800,694,501,157,800,800,649,501,503,16,800,501,772,503,500,104,800,290,800,503,501,503,501,500,501,501,501,501,800,501,503,500,500,800,47,502,501,501,503,502,501,501,800,649,503,800,503,649,742,500,649,282,16,503,501,503,800,503,500,503,502,800,500,503,282,142,800,501,503,649,502,503,500,501,613,649,800,503,196,503,501,284,503,649,501,503,888,785,16,504,500,501,503,501,502,503,282,800,501,649,800,282,501,282,282,649,367,649,649,500,649,800,800,502,800,777,649,649,649,501,503,502,649,501,503,501,800,649,500,503,501,317,501,500,500,800,503,800,649,800,649,502,503,800,500,800,649,649,800,501,501,502,501,504,649,282,73,174,503,502,335,282,103,501,500,649,103,501,503,501,701,501,502,501,504,502,502,503,282,800,800,502,282,705,107,500,503,612,502,649,501,503,503,282,703,649,800,649,503,16,649,800,502,10,649,502,16,583,282,396,800,501,649,282,500,103,503,800,503,500,649,503,282,800,649,501,501,800,500,502,649,501,800,649,500,486,649,800,136,500,503,503,504,501,282,649,500,282,800,502,282,500,649,501,501,800,311,500,504,501,502,800,284,501,282,500,649,502,282,453,502,503,705,800,500,501,800,502,800,649,504,800,500,502,503,500,649,503,500,996,500,500,500,282,503,16,503,800,502,197,503,800,800,282,141,503,649,501,649,800,800,649,282,649,649,500,502,794,282,800,800,282,649,649,500,501,501,649,649,434,500,307,649,500,500,502,502,800,282,502,501,800,325,649,282,552,501,502,576,502,649,502,501,501,16,500,503,501,502,502,503,649,502,800,501,504,502,502,649,502,502,503,501,649,397,649,502,500,500,504,503,16,476,503,501,502,649,503,502,649,800,282,500,503,649,278,501,503,800,501,500,649,501,189,800,282,501,649,800,502,107,649,649,649,649,504,503,500,500,800,649,503,800,502,501,500,500,503,836,500,576,502,503,800,800,501,649,503,500,502,649,649,996,649,501,503,504,503,282,502,501,841,500,503,441,501,649,649,282,649,629,649,502,503,500,807,649,800,501,16,501,502,120,721,649,500,503,800,649,501,503,649,502,649,282,800,501,501,103,502,503,110,596,800,800,502,502,592,282,504,502,282,502,800,500,502,503,502,943,384,503,800,649,502,353,502,800,500,649,688,501,502,501,16,503,661,500,800,502,500,981,503,503,894,502,500,761,500,502,503,282,16,800,503,649,501,282,16,383,502,502,500,500,502,692,502,500,501,800,500,504,502,502,649,503,800,503,503,501,500,500,501,500,502,502,800,503,649,500,649,84,649,800,503,649,680,649,572,107,501,182,65,800,742,982,649,502,502,800,649,502,500,503,800,500,721,503,800,671,649,500,649,649,500,503,943,674,502,800,502,502,502,500,800,649,500,800,649,503,503,649,16,649,502,502,502,501,842,107,501,705,500,503,16,501,457,73,663,800,107,502,500,649,400,16,705,502,500,500,800,500,502,649,413,503,649,501,503,649,502,282,501,502,800,800,649,500,500,649,501,800,501,502,501,16,500,649,500,800,16,500,501,800,800,502,230,649,72,662,800,649,503,503,502,502,800,800,16,736,502,501,800,501,994,998,800,649,16,503,502,649,501,502,501,800,501,504,503,500,800,282,649,501,501,800,503,501,500,501,504,500,649,503,501,16,649,339,502,800,649,502,649,502,503,500,502,502,502,649,503,282,107,502,649,465,341,649,503,503,501,282,146,574,500,500,500,674,800,502,800,500,504,502,502,800,800,501,503,501,568,502,500,649,705,503,500,649,800,503,503,800,282,500,282,501,564,107,416,500,807,502,502,103,500,649,800,800,546,649,503,800,502,649,439,649,649,786,501,649,503,649,649,500,504,649,503,368,500,501,281,502,409,500,500,800,800,800,501,649,282,501,282,723,503,232,500,500,800,500,501,649,800,503,502,291,502,800,504,406,502,502,800,649,503,501,649,800,503,501,500,282,502,503,501,500,800,282,282,503,501,500,681,503,107,501,649,503,501,500,501,502,503,649,282,800,502,501,343,501,500,462,43,503,649,501,503,501,5,649,500,572,49,649,500,502,503,500,503,503,500,501,649,282,503,500,501,502,800,402,800,800,503,800,16,649,800,800,500,503,500,89,791,282,504,282,500,501,501,282,649,501,649,800,800,800,501,568,500,504,503,800,70,503,315,16,649,649,501,500,282,502,501,500,282,500,800,500,355,800,103,500,502,500,16,503,504,500,501,781,503,501,503,649,800,500,502,500,503,16,107,500,649,502,649,649,502,621,282,502,800,339,500,502,502,649,503,800,107,500,282,502,604,418,282,800,501,502,502,502,500,800,282,503,800,500,800,800,103,503,649,800,800,501,649,507,500,649,502,503,282,502,649,800,649,500,501,649,503,503,53,282,649,503,503,502,23,324,503,800,787,800,501,282,800,800,501,649,503,502,501,503,500,632,501,503,649,502,503,980,502,649,796,502,501,15,879,800,500,501,16,502,504,16,503,502,800,282,655,674,807,592,501,502,503,500,649,500,649,800,502,344,800,502,800,503,503,16,501,107,500,500,501,504,500,472,501,504,649,282,800,800,649,282,649,501,502,501,16,800,800,500,503,282,501,503,369,500,503,800,501,800,501,502,501,990,474,502,607,501,757,282,649,800,649,482,800,800,800,504,502,649,800,649,258,800,107,500,501,800,649,972,923,649,501,800,502,502,502,502,500,649,502,501,503,500,800,502,500,500,501,501,502,502,501,800,501,800,500,512,574,800,800,500,503,502,649,501,649,503,500,16,504,649,282,649,882,649,500,503,503,107,282,503,649,649,184,649,62,500,130,800,502,500,234,503,501,501,501,649,500,502,500,501,800,500,16,502,649,649,502,282,503,503,800,500,649,503,16,453,800,737,503,967,503,318,649,800,649,502,500,503,503,501,500,677,800,500,649,649,282,503,503,502,16,800,649,503,501,282,503,504,502,502,500,503,502,16,502,501,649,501,504,500,800,836,502,500,501,500,500,502,649,501,319,502,649,945,500,282,500,503,282,282,502,500,282,649,503,649,500,107,649,800,282,282,502,503,800,800,649,500,894,500,501,649,649,800,800,649,649,800,500,501,338,502,502,464,282,595,800,16,503,500,880,649,502,500,503,649,870,504,800,500,649,800,649,800,502,807,557,501,894,756,282,502,500,502,800,500,501,501,43,502,504,649,282,282,503,494,503,282,649,503,282,36,500,501,500,503,501,649,501,501,503,845,800,649,107,282,502,500,503,800,612,503,649,500,107,800,743,535,649,501,503,503,502,502,503,501,503,282,500,503,649,502,502,649,781,980,501,502,649,503,500,500,501,282,502,282,501,501,649,501,501,501,503,800,649,297,502,916,501,503,334,503,16,501,800,649,649,649,282,501,503,649,501,500,282,16,649,501,649,500,503,282,431,16,800,282,16,746,800,800,501,503,649,103,649,501,712,502,500,500,501,282,800,500,649,649,500,500,502,503,503,649,501,107,501,501,874,501,890,501,500,800,649,502,800,501,980,501,502,800,500,282,504,649,501,500,503,649,504,500,649,501,365,501,282,800,502,649,282,431,800,501,501,502,501,503,282,500,501,758,649,649,649,103,500,282,502,800,500,649,500,800,800,282,412,800,502,411,800,500,800,504,503,800,501,800,16,282,649,282,800,282,800,800,502,649,649,103,800,800,282,500,649,16,503,501,502,282,500,649,800,503,649,500,421,649,800,502,16,501,502,800,501,800,502,649,503,583,7,282,500,495,800,502,282,503,500,500,501,502,800,500,800,800,501,314,500,497,500,390,503,800,501,734,106,502,500,503,500,16,800,500,294,503,282,500,282,500,282,282,649,500,103,649,800,282,501,503,503,500,800,16,503,649,16,800,964,502,1,282,502,503,649,503,649,502,282,16,800,282,800,503,649,501,263,282,800,500,501,502,649,800,77,501,500,649,649,800,504,561,500,501,502,502,398,501,649,503,649,500,502,925,800,474,502,800,649,503,500,619,500,800,501,501,502,649,503,16,649,103,501,800,503,649,501,800,503,500,502,500,649,800,502,502,502,107,844,503,500,705,500,501,501,502,649,282,511,503,500,156,503,503,282,800,501,500,800,705,500,502,501,800,649,500,501,502,502,649,502,502,500,502,501,649,800,16,500,503,502,649,502,501,649,500,649,800,935,16,688,502,282,503,16,800,501,500,800,545,282,649,501,282,800,503,503,282,503,502,502,649,501,503,484,649,500,649,500,800,800,282,503,282,502,500,649,500,500,501,282,503,501,502,501,649,501,800,800,649,649,504,649,500,282,502,800,900,649,765,503,503,280,503,107,627,51,502,341,649,501,107,282,282,800,501,649,503,282,800,649,828,503,649,502,503,649,649,681,649,800,500,468,658,1000,649,501,501,800,500,800,503,501,502,800,503,649,501,503,649,503,500,282,800,800,160,580,503,501,501,800,503,800,800,500,501,502,500,649,900,210,502,800,800,945,282,800,503,502,502,282,133,800,501,303,148,800,500,501,420,649,282,500,649,790,282,649,503,265,501,649,503,503,503,500,500,109,282,501,967,501,282,649,800,282,500,800,649,502,502,649,503,649,282,501,857,503,16,500,503,231,503,800,425,502,649,503,649,938,502,500,502,503,501,502,504,649,504,720,503,503,649,800,397,649,325,501,500,282,503,501,503,500,500,800,503,501,800,502,800,578,500,320,649,505,506,334,800,501,503,788,502,44,800,501,501,213,107,282,649,503,504,800,502,649,500,282,649,501,800,800,649,500,592,502,649,500,500,282,503,503,597,500,500,800,500,103,282,649,501,299,800,13,504,800,800,800,502,503,16,502,649,503,774,502,500,454,942,502,282,649,649,500,503,800,501,800,649,282,501,503,502,800,800,909,649,503,503,657,16,501,500,800,282,501,502,519,705,800,649,339,52,502,500,501,873,501,282,649,501,954,328,500,279,502,282,500,502,201,282,282,501,502,501,502,800,500,800,500,501,500,649,502,501,282,282,503,410,501,800,649,800,502,456,502,504,501,500,649,500,502,800,503,800,800,501,579,16,649,501,649,503,500,501,103,800,649,503,649,503,501,502,502,503,16,649,500,800,502,437,16,500,800,501,502,501,16,800,282,503,555,282,504,137,502,800,500,501,935,649,501,501,124,502,800,16,502,501,970,500,501,947,649,800,282,501,503,503,502,649,500,649,502,502,800,800,649,502,503,501,502,503,649,502,501,501,500,103,503,628,800,649,503,501,501,800,649,503,103,649,649,503,611,503,649,282,500,504,502,503,501,282,501,797,282,501,800,500,96,800,502,16,807,502,500,800,503,997,649,800,282,800,996,112,503,501,502,501,501,800,800,504,649,282,649,401,501,501,500,503,649,501,16,502,503,800,500,436,503,501,282,500,800,649,649,501,16,817,503,500,501,503,16,503,649,501,501,800,800,501,938,501,272,501,800,504,503,500,503,649,649,502,106,800,500,500,503,800,778,800,649,649,800,502,503,231,503,502,62,500,800,750,500,500,501,502,281,800,800,282,16,16,500,502,132,282,501,504,500,649,800,500,16,800,585,501,649,282,16,282,800,800,503,504,500,503,800,503,500,282,503,800,502,501,603,500,504,500,800,107,501,800,107,17,800,16,501,675,500,504,649,800,504,503,501,500,500,502,503,500,800,800,503,502,502,501,800,800,501,501,649,501,500,282,503,500,986,503,502,800,9,16,282,282,503,800,503,502,649,800,502,107,800,502,649,800,649,338,500,282,694,282,649,500,500,501,500,649,658,103,800,502,502,649,649,800,501,649,501,282,500,649,504,941,649,503,649,503,107,754,502,503,910,500,111,503,16,501,49,500,502,863,800,330,502,16,501,103,754,282,501,501,502,502,502,503,390,800,502,807,500,500,501,503,502,500,500,501,282,800,503,500,282,500,503,501,500,800,649,649,502,705,649,649,800,783,800,800,501,501,997,800,800,282,800,501,800,500,282,504,503,503,500,501,16,16,500,503,500,649,800,649,620,503,500,500,503,649,336,649,282,649,500,97,649,502,500,649,649,252,502,502,800,16,941,501,503,649,503,800,500,503,500,800,500,142,686,682,501,800,649,282,800,500,504,800,502,800,502,272,800,870,800,282,503,282,502,500,500,501,500,503,16,503,597,502,501,649,501,128,502,19,504,547,808,800,503,502,997,705,649,503,800,511,501,134,500,146,501,503,282,649,800,251,800,501,271,649,501,501,500,500,500,282,646,758,500,649,800,282,501,500,500,501,846,649,282,503,390,503,124,500,502,649,282,502,282,282,282,800,282,503,502,16,800,500,649,649,502,500,500,800,501,500,502,649,502,595,500,500,649,649,649,501,667,501,500,282,501,984,502,501,503,500,286,502,327,503,800,282,649,649,282,649,502,649,933,800,502,503,500,501,800,501,502,649,800,530,501,500,649,282,501,501,511,501,649,503,800,800,282,649,503,800,529,659,504,800,649,502,502,649,800,502,502,503,501,649,800,502,500,800,501,503,500,500,649,501,501,870,649,501,649,649,500,56,502,503,282,504,500,502,500,502,800,282,501,800,502,282,502,501,501,242,649,502,282,502,423,800,16,649,501,621,431,501,649,502,500,501,649,501,500,503,504,502,223,501,502,649,800,502,503,649,43,800,230,649,500,103,800,800,502,503,145,501,599,500,502,500,502,800,649,234,347,502,800,501,652,649,503,502,800,649,800,800,161,800,800,500,500,501,800,800,800,721,500,500,648,282,649,500,501,503,502,649,891,800,501,800,649,502,636,282,503,282,288,800,649,649,652,663,503,502,649,503,502,500,103,352,503,746,107,649,500,501,503,502,501,502,649,800,900,502,282,649,16,501,503,649,649,16,504,649,503,500,649,282,501,503,502,500,500,59,503,649,649,649,649,502,282,800,282,389,649,752,327,500,502,649,19,502,500,16,502,500,500,500,502,501,503,37,504,500,501,500,282,503,649,800,503,501,282,649,697,107,282,502,503,501,649,501,501,502,501,503,500,502,501,502,501,649,501,502,500,800,282,42,501,800,503,649,500,503,800,593,501,500,103,800,500,501,282,649,649,500,649,500,107,502,686,800,503,23,503,503,649,282,502,503,503,500,123,750,500,501,502,501,500,294,500,682,168,502,301,500,649,641,800,500,649,501,502,649,649,800,500,282,16,501,501,501,800,282,649,16,500,502,800,502,503,500,502,649,501,500,503,500,649,282,501,406,501,501,282,503,800,502,501,503,819,501,503,502,504,501,501,500,500,502,502,800,282,504,800,502,16,103,501,504,501,649,501,503,501,501,503,966,800,503,503,362,500,502,649,501,503,800,535,502,649,800,800,649,800,800,800,870,103,501,649,800,502,871,502,800,503,649,800,502,742,649,503,503,500,800,649,503,501,502,987,501,16,116,16,500,504,502,502,503,500,800,500,1000,501,202,282,649,379,501,16,800,503,800,895,444,502,500,501,503,503,800,503,649,503,800,503,445,186,800,504,501,503,500,649,608,16,500,500,800,502,500,649,502,282,282,628,503,502,800,503,567,800,800,500,503,502,649,500,500,231,502,500,502,502,504,502,500,16,503,649,800,901,800,718,500,282,501,800,503,800,503,966,649,501,800,364,501,107,502,501,282,649,428,282,502,503,16,500,379,502,501,502,500,500,800,800,501,502,649,501,503,502,503,501,501,501,502,16,500,501,501,8,503,503,503,503,154,649,501,800,503,503,503,589,503,706,980,500,800,500,649,511,649,741,500,897,445,282,500,500,500,649,800,107,16,500,503,501,503,800,800,282,800,800,503,501,282,500,501,800,502,501,504,502,282,800,800,410,501,502,167,282,501,500,800,561,649,503,502,503,501,504,503,649,649,34,819,649,649,800,649,501,501,503,501,107,503,501,337,501,649,800,500,639,649,502,503,649,652,500,503,502,649,800,501,503,503,501,501,649,500,800,502,503,501,16,502,503,800,502,502,968,282,652,800,502,649,504,502,649,16,503,500,502,16,324,282,282,503,503,503,649,800,800,649,501,502,503,501,800,501,503,500,296,503,800,500,649,889,501,503,501,636,502,63,503,501,642,501,503,503,500,649,501,208,282,500,649,501,800,501,500,501,503,731,16,649,107,282,282,800,225,503,282,16,607,504,500,800,649,800,649,454,282,208,811,500,649,501,302,243,800,501,500,800,502,986,221,800,500,649,800,649,800,800,9,503,502,282,500,501,978,503,500,800,500,502,500,502,282,502,649,800,163,649,501,503,502,853,649,14,503,649,503,155,502,16,501,16,503,500,502,800,500,500,501,800,502,875,503,501,503,502,649,800,501,807,503,502,504,800,800,787,649,502,502,501,282,503,501,649,502,644,501,286,282,125,503,502,800,649,649,503,500,502,800,502,309,282,501,500,503,503,504,500,61,22,501,800,504,282,629,649,800,649,503,324,649,503,282,503,503,16,500,649,649,501,16,503,649,800,881,99,705,503,304,649,800,492,282,16,731,501,649,502,501,800,282,503,649,500,501,502,501,282,502,426,712,147,501,502,500,501,649,501,500,502,503,503,649,504,503,423,503,649,502,282,16,800,727,649,502,501,800,500,649,503,530,838,500,800,635,800,502,649,800,501,500,500,800,800,502,503,621,800,502,44,16,502,501,502,504,800,282,500,501,800,927,501,512,282,503,282,649,649,800,501,800,500,501,500,282,800,502,107,800,800,649,502,649,800,502,501,503,501,800,501,564,282,502,649,502,741,800,500,282,501,649,501,978,649,500,800,501,502,503,649,502,501,503,503,502,500,502,282,800,501,500,800,679,501,29,503,800,282,282,502,501,501,503,502,504,122,502,503,503,501,502,50,561,503,500,593,16,503,503,800,649,783,501,16,502,77,800,800,649,502,501,975,503,500,16,649,187,502,282,502,16,282,502,502,800,500,503,282,800,800,502,800,503,282,800,727,501,502,800,500,649,503,501,16,95,500,417,490,504,649,649,282,800,501,649,282,501,501,502,503,500,649,282,500,181,92,502,649,413,501,16,502,500,367,992,500,501,500,502,800,501,800,501,165,500,503,649,501,945,883,501,283,501,800,502,800,500,500,503,158,502,503,503,649,503,500,649,502,649,503,229,501,649,800,649,503,501,282,502,454,503,502,876,500,500,503,500,800,502,16,649,651,500,501,282,501,501,501,502,502,478,503,503,503,502,503,243,557,649,503,800,649,649,800,450,649,800,502,107,501,501,500,282,500,649,503,501,500,501,800,500,16,584,503,500,800,502,800,282,428,606,502,800,503,503,127,500,649,16,502,500,800,900,649,501,282,500,503,649,503,649,503,902,501,800,800,502,503,800,502,649,800,800,649,503,504,649,504,503,649,500,501,501,71,500,649,502,800,800,282,501,800,501,502,407,502,800,503,500,103,800,800,503,282,503,561,107,860,107,649,234,500,501,501,501,500,103,502,500,501,906,800,800,800,102,403,502,800,502,649,500,502,861,649,800,500,800,502,190,501,463,503,502,501,649,282,800,649,501,282,503,800,502,500,800,500,282,800,175,649,800,505,502,524,9,649,16,800,503,503,500,282,500,282,649,124,795,16,501,500,649,503,500,588,502,649,282,70,800,502,501,500,500,801,800,500,800,282,500,502,649,503,430,649,501,853,800,502,502,503,649,800,501,800,800,649,649,800,502,501,800,500,502,503,503,282,503,502,502,654,502,800,501,501,503,649,501,500,800,16,800,745,800,800,501,502,501,292,501,500,282,351,502,500,800,503,502,282,501,503,649,800,503,500,649,800,318,282,16,502,800,570,501,501,16,500,531,800,500,500,354,530,900,762,350,503,501,873,878,16,502,501,500,16,107,649,503,500,500,501,107,503,503,363,649,500,503,503,500,16,502,800,118,500,282,16,73,503,656,500,649,502,502,16,649,649,502,649,67,282,576,503,800,502,800,282,404,282,501,501,500,282,311,502,282,500,501,500,800,502,800,649,282,800,501,350,500,503,503,800,282,502,100,550,649,649,502,500,501,501,502,800,503,503,800,800,282,800,502,501,502,500,282,504,282,800,800,649,502,502,800,502,649,794,282,282,626,800,502,965,501,649,503,386,500,500,501,501,282,502,502,503,649,961,800,282,502,502,502,800,800,836,500,282,503,502,774,282,282,501,500,500,282,649,503,800,800,501,502,282,649,16,527,737,500,503,649,649,504,500,502,282,948,500,37,500,282,500,204,964,502,649,501,649,800,502,502,649,503,649,502,501,282,502,501,16,503,282,502,500,649,502,500,282,502,16,800,502,501,282,282,503,503,501,649,503,503,501,500,500,800,282,282,800,282,502,282,16,649,636,500,800,502,500,494,148,649,649,500,503,800,800,486,501,500,649,501,503,503,502,502,501,503,649,800,502,568,503,500,500,649,282,500,649,501,502,503,504,800,800,649,503,800,500,79,500,282,128,501,905,503,16,16,649,649,649,382,800,800,800,501,503,649,173,800,649,649,649,503,337,501,578,800,503,55,502,502,504,500,503,800,501,500,503,501,800,649,800,502,282,501,800,504,501,502,649,800,500,649,500,800,282,502,500,800,503,282,432,649,586,503,501,501,107,503,649,800,800,502,503,502,219,500,502,16,503,501,502,501,649,501,716,502,501,29,800,649,500,649,649,501,458,103,800,800,502,503,649,282,288,62,503,16,107,500,282,16,800,500,588,166,800,501,504,800,800,500,649,500,500,267,502,800,800,282,503,503,502,503,502,500,500,800,502,800,501,501,16,501,504,500,501,282,107,800,800,16,649,504,501,501,503,500,800,705,151,98,504,968,865,282,134,282,503,501,649,503,502,500,297,501,503,500,503,502,800,649,649,761,503,649,649,500,282,503,133,500,800,613,16,933,500,503,502,501,500,502,501,800,500,282,29,502,503,70,501,649,589,16,649,503,800,503,282,13,502,906,649,211,503,502,649,500,800,800,649,103,501,649,781,501,501,800,800,800,502,502,507,500,503,501,346,649,500,800,761,503,649,256,107,501,649,503,500,500,503,502,503,500,800,649,800,502,649,16,649,503,500,503,501,500,403,800,504,262,649,282,282,502,800,16,649,502,501,502,649,924,503,502,503,500,649,500,503,779,499,282,649,501,501,502,518,501,502,800,149,282,503,649,501,502,501,800,503,503,500,500,800,800,503,501,503,502,500,16,501,502,142,920,501,500,24,800,800,649,500,501,500,816,103,504,5,282,501,503,856,649,503,501,649,501,800,903,502,649,743,500,503,800,649,503,503,93,500,800,503,503,501,924,503,500,502,501,501,501,649,502,798,502,501,900,649,16,502,649,502,800,503,800,649,800,800,502,649,600,502,501,500,502,210,482,500,998,282,1,55,502,503,649,800,501,282,500,649,500,282,282,502,501,649,649,501,16,500,500,649,649,501,503,649,100,500,800,500,16,503,502,723,800,501,502,80,503,649,649,562,502,282,649,502,501,500,649,800,503,501,500,16,501,500,503,107,722,14,800,16,103,44,282,502,501,649,800,502,800,932,503,503,503,649,501,500,800,501,282,503,501,800,649,500,502,502,503,800,501,502,504,800,500,503,502,800,649,800,501,622,501,16,800,503,501,649,800,649,532,649,296,282,800,837,649,500,103,16,282,649,501,503,282,501,500,501,282,282,282,649,502,800,501,649,501,503,501,428,501,649,196,282,501,16,503,800,800,203,61,649,503,501,634,502,501,620,16,413,649,649,382,501,884,800,502,965,649,649,502,800,282,503,16,800,649,649,502,16,800,221,800,502,500,800,500,649,501,502,503,502,500,500,413,501,282,504,500,502,500,800,649,500,800,503,503,800,282,800,800,502,500,649,502,800,500,649,16,502,500,502,503,16,649,282,502,649,500,649,501,503,649,501,132,649,502,500,54,282,502,501,504,503,500,502,800,501,502,658,800,501,800,635,503,282,501,649,503,503,501,502,16,501,503,501,800,282,649,282,500,502,502,703,800,502,800,649,649,500,503,501,501,501,503,501,649,800,57,502,800,649,503,800,502,500,145,501,502,649,500,501,503,680,500,503,282,282,501,16,649,649,282,16,502,282,649,649,649,649,504,500,501,649,649,800,500,16,800,501,504,501,502,649,502,500,649,201,504,800,503,502,503,103,800,915,503,503,282,800,649,501,500,205,502,649,502,800,282,502,502,502,800,500,501,525,649,501,540,498,649,282,502,649,16,800,500,501,994,502,649,649,500,618,883,649,501,649,282,649,501,503,28,747,649,282,503,800,3,502,282,649,800,503,425,800,370,651,501,503,500,649,800,800,922,649,503,501,502,500,500,879,282,282,800,501,500,501,500,800,410,503,649,502,800,649,500,502,500,500,501,282,103,501,501,501,168,500,282,431,16,800,107,282,502,502,366,503,16,500,502,502,500,130,282,502,649,16,501,800,502,500,501,502,503,502,649,345,800,501,503,649,503,800,649,500,16,502,169,800,800,448,705,16,386,503,912,800,146,500,649,500,500,503,649,444,532,800,800,501,502,500,500,9,502,500,800,500,500,501,501,503,500,500,98,425,502,503,720,493,766,800,649,800,502,500,800,282,502,649,502,500,649,500,502,503,500,86,503,45,282,16,501,503,787,649,649,500,994,649,500,649,649,800,282,282,649,649,503,501,800,503,113,500,500,282,800,500,500,649,502,649,503,503,282,786,500,995,351,502,503,502,282,282,16,502,800,503,282,800,597,649,504,16,500,502,502,282,501,800,500,649,282,502,110,282,107,800,800,122,500,649,717,649,282,800,502,649,504,9,840,501,500,502,501,502,503,649,800,501,800,501,282,800,500,800,503,503,500,649,500,500,503,649,413,282,282,649,649,500,800,502,501,502,500,597,282,502,615,800,649,500,720,501,224,503,800,501,800,282,503,523,800,107,282,800,649,282,502,938,172,500,800,807,500,502,649,504,502,501,502,503,800,649,282,500,502,800,503,649,800,502,502,503,502,502,503,500,800,649,282,503,501,649,210,172,500,107,649,16,504,501,282,40,501,501,502,800,503,519,282,503,503,282,902,800,503,891,500,800,500,649,534,649,500,500,502,225,502,503,501,291,504,500,502,503,502,500,16,501,501,16,15,501,800,198,502,500,800,503,864,16,103,649,649,649,503,501,649,649,800,668,501,502,503,502,502,649,502,502,800,502,503,800,149,502,800,16,502,503,937,504,503,502,504,500,502,503,800,649,800,504,502,649,500,501,501,800,800,500,503,800,502,649,503,502,503,503,500,503,282,503,503,282,501,994,319,482,418,503,646,501,282,16,800,16,800,500,361,567,649,800,282,649,501,501,501,239,356,985,501,800,501,500,501,282,500,500,500,16,502,649,45,16,500,827,503,500,500,502,282,515,501,500,282,410,500,503,501,501,925,503,800,503,501,502,282,649,649,788,501,107,282,282,107,649,325,500,501,800,502,501,502,953,800,500,501,317,649,500,982,501,503,504,478,502,800,501,502,805,282,70,734,502,500,500,800,451,800,503,931,800,123,502,800,282,16,503,500,800,501,494,502,649,501,16,500,477,649,501,785,890,501,502,282,578,800,504,502,503,16,503,502,502,893,649,745,500,649,503,501,800,503,328,502,502,800,500,800,503,649,800,502,852,800,685,502,649,500,501,649,501,431,170,79,282,503,503,501,103,503,807,800,502,649,501,649,800,500,502,415,501,503,282,501,501,503,800,150,800,502,857,282,679,500,657,500,502,500,103,649,500,501,500,282,649,16,282,604,502,502,800,649,500,503,500,501,649,502,502,502,16,6,501,501,809,502,16,502,16,649,649,649,649,503,456,934,266,501,502,604,649,501,16,800,503,500,500,503,649,800,16,502,282,501,504,800,649,16,502,800,502,502,496,500,693,107,501,501,496,16,496,627,649,282,282,497,649,649,503,502,503,107,282,501,501,503,503,828,501,472,282,501,500,117,800,800,800,363,375,410,503,800,800,649,800,500,649,502,503,501,503,500,501,282,800,500,502,800,800,282,501,649,502,649,800,121,649,800,649,649,857,503,16,501,503,800,503,35,218,501,503,649,501,261,800,649,503,649,501,500,800,502,500,781,501,554,198,502,500,501,502,501,503,800,501,649,842,800,282,500,118,502,14,503,502,807,649,733,103,502,503,649,800,649,503,800,502,500,282,500,800,282,254,800,501,282,800,745,16,649,649,649,16,800,16,282,500,237,502,649,800,837,895,502,649,282,503,649,800,649,501,649,282,841,649,503,800,16,649,282,502,500,501,800,502,501,501,500,501,502,800,729,800,343,800,501,502,501,504,503,395,800,503,500,500,501,501,500,282,504,501,159,282,649,501,686,501,649,806,282,858,500,502,718,223,502,895,800,315,501,649,649,567,800,649,503,800,800,817,800,800,282,649,503,503,649,502,800,649,501,800,973,503,502,502,16,637,800,807,282,800,490,503,502,502,503,16,503,502,504,503,501,503,649,500,500,503,500,649,16,500,649,800,502,649,800,800,282,705,502,503,502,502,501,649,649,502,649,502,502,80,800,504,500,466,500,932,711,501,503,500,501,503,503,502,576,500,500,502,502,649,649,501,16,503,502,649,649,500,393,501,501,800,649,501,649,500,502,649,175,800,502,503,649,649,800,504,800,502,649,501,501,811,500,502,502,800,282,502,500,649,649,649,503,649,800,502,345,639,282,501,503,800,502,800,282,282,282,649,503,500,800,502,502,649,282,649,502,500,504,649,282,589,874,883,502,501,501,800,800,649,502,501,502,503,649,800,16,503,502,800,800,501,502,282,503,649,932,649,502,500,503,800,502,800,502,649,500,282,996,800,800,800,503,800,733,501,500,502,501,502,501,800,501,501,502,502,800,224,107,16,649,282,500,649,501,245,800,652,500,16,501,501,502,502,503,282,649,502,501,500,649,107,501,103,649,501,501,501,649,800,501,649,502,676,800,800,503,502,688,737,502,501,800,322,503,938,500,503,500,914,502,16,812,501,244,502,16,649,107,501,500,282,649,504,503,107,800,365,500,503,16,500,800,843,501,800,502,504,501,800,800,649,500,503,800,16,742,503,501,282,503,800,502,502,502,303,503,501,527,800,502,649,649,800,503,282,282,500,502,649,502,282,282,649,649,438,107,379,282,649,502,503,649,282,500,800,282,739,502,282,501,282,282,282,502,282,500,16,800,800,501,122,282,500,503,503,649,500,282,649,800,35,502,502,282,945,501,282,500,502,282,438,649,501,503,501,800,800,800,800,502,503,500,649,800,55,502,503,503,649,649,502,502,16,800,500,282,649,649,16,944,501,649,502,556,501,501,649,503,800,502,503,569,547,649,282,503,317,502,503,503,503,502,502,501,502,501,501,501,502,500,500,282,503,502,500,502,501,503,649,534,649,649,500,282,800,501,502,749,503,501,501,503,800,501,800,501,502,649,500,501,800,503,503,649,649,569,638,503,502,500,800,649,500,500,649,958,500,500,502,500,501,282,800,501,800,649,800,649,649,782,282,500,503,502,649,649,500,649,800,278,500,695,502,502,502,500,107,500,502,501,503,502,501,649,502,944,649,500,500,282,501,377,501,800,649,800,282,649,649,282,649,636,800,502,500,282,282,502,501,502,800,501,461,503,501,502,282,500,501,649,282,800,501,503,134,502,70,649,502,501,706,502,500,503,649,800,503,649,503,503,547,951,503,282,800,503,874,107,800,501,800,502,282,500,800,501,627,502,649,501,501,499,502,503,649,503,800,800,800,800,800,282,500,502,52,501,649,500,501,503,502,500,800,800,282,649,800,282,500,940,500,649,16,504,502,504,800,800,16,502,503,503,800,500,503,500,502,501,800,501,503,16,800,501,800,500,503,500,649,16,503,800,610,500,503,500,328,500,243,502,502,16,503,500,902,502,800,607,282,501,502,500,500,502,282,502,392,282,502,807,800,124,501,800,502,500,649,800,800,480,500,773,500,337,824,16,800,501,800,501,883,282,90,500,500,649,800,282,800,501,502,501,268,649,800,503,800,500,502,503,103,500,503,502,503,649,501,282,705,501,649,800,649,500,503,503,494,649,500,110,649,209,282,63,503,282,659,366,810,649,501,649,282,282,502,501,502,334,649,501,501,501,503,125,774,503,282,649,503,502,819,500,503,501,501,107,282,649,800,742,501,501,503,501,503,503,501,501,546,800,500,503,502,649,502,503,500,503,503,503,502,503,502,500,705,502,800,649,502,501,501,649,16,800,503,649,502,649,649,500,502,993,502,800,503,504,503,800,502,649,238,503,580,500,503,502,800,800,800,502,500,800,501,16,501,800,503,800,409,790,502,500,502,282,649,282,502,477,500,282,502,800,160,649,503,282,819,800,503,345,649,502,500,500,501,649,649,649,502,292,649,800,500,800,500,649,502,500,500,649,649,501,502,502,800,501,649,503,500,800,503,501,649,800,504,649,800,503,500,649,503,649,502,282,16,282,503,503,800,501,500,282,500,649,16,282,502,502,503,649,502,800,800,282,282,800,502,649,502,649,56,500,501,856,282,282,501,800,372,649,500,535,501,815,282,503,500,501,503,504,503,502,282,16,800,502,800,502,649,504,681,500,800,500,282,501,502,502,502,649,618,16,16,16,800,503,282,649,734,649,971,503,503,502,282,503,800,501,502,282,282,649,424,503,500,501,500,501,500,282,500,503,500,532,875,450,500,501,501,290,282,502,503,502,501,500,503,649,503,501,501,502,649,649,502,800,503,649,16,501,800,446,800,502,800,501,800,902,649,500,649,649,500,502,500,649,501,800,503,16,502,503,282,649,234,504,500,500,503,282,649,503,237,500,503,282,298,282,500,649,502,502,282,282,501,800,500,501,100,500,503,502,502,503,501,800,649,501,503,503,501,502,282,503,502,649,502,500,16,503,991,800,310,338,500,502,496,800,500,503,800,503,800,800,16,525,501,502,649,282,502,16,282,16,500,800,649,501,502,502,502,500,503,503,800,503,502,16,282,800,501,245,503,502,500,282,800,800,501,649,649,501,503,503,501,501,503,500,124,649,502,501,500,592,501,501,500,649,501,883,502,649,874,99,649,649,368,502,282,500,503,800,800,501,503,503,800,649,649,592,501,500,503,649,500,649,500,501,107,500,500,501,649,500,503,500,282,649,984,714,282,501,502,800,649,503,500,501,800,503,756,500,97,503,503,500,503,500,649,800,649,800,501,649,501,501,800,16,649,649,502,975,800,649,800,501,266,73,282,502,282,503,649,503,16,503,500,463,16,649,800,282,118,501,649,502,649,501,800,282,800,450,649,503,663,124,500,502,800,800,103,800,502,649,616,501,503,16,16,128,503,16,502,500,501,800,800,16,649,649,800,649,800,649,15,503,502,502,710,503,500,727,502,16,337,501,16,500,503,800,500,503,649,800,800,478,460,110,107,397,800,800,502,282,649,502,501,649,800,500,649,800,800,800,282,445,503,503,502,503,501,806,91,282,501,800,502,972,503,503,100,800,282,119,501,503,114,502,500,501,649,649,649,503,502,501,501,501,16,501,282,800,804,500,282,503,800,501,649,502,503,500,800,282,712,800,800,503,282,16,61,649,790,500,800,503,503,282,230,501,16,282,649,787,501,502,502,502,501,717,649,502,503,500,501,503,501,282,502,800,649,800,282,649,991,282,800,500,282,282,502,500,501,487,500,502,500,501,502,800,655,969,649,503,502,502,501,800,501,319,800,800,600,500,503,16,282,800,502,282,800,649,16,369,282,649,171,503,502,800,800,501,16,503,502,282,500,501,649,282,504,500,800,16,502,649,502,649,649,502,649,500,649,649,504,800,500,501,502,502,501,503,500,800,800,500,503,649,282,502,503,807,16,500,500,503,649,501,649,503,501,649,501,676,800,502,649,500,500,501,800,503,501,282,501,503,500,282,500,800,649,282,547,503,502,501,107,250,649,107,107,800,837,500,649,649,800,501,800,502,649,503,501,276,649,501,504,282,938,800,649,503,500,500,282,501,503,500,500,800,501,649,800,16,501,649,62,16,800,334,503,500,503,282,502,500,800,503,503,800,800,501,200,282,500,502,500,502,502,282,500,502,282,502,504,704,500,800,282,502,9,501,282,501,500,501,500,800,501,800,282,16,501,282,503,502,502,500,16,347,649,649,265,649,503,705,738,500,500,500,503,571,503,501,357,501,800,502,301,503,421,500,501,501,502,500,503,502,500,503,800,581,500,500,800,502,501,598,282,502,502,500,500,384,649,502,500,649,501,800,402,501,503,503,282,649,502,500,504,500,502,649,503,501,800,800,502,282,800,382,500,503,502,501,502,503,502,649,503,500,800,500,649,502,800,800,107,16,800,503,282,649,354,649,502,42,595,501,503,503,500,503,500,800,872,503,800,800,649,649,501,500,500,649,977,649,16,962,649,800,500,502,500,502,800,662,800,500,503,501,913,282,500,74,649,649,501,501,649,921,502,502,502,282,409,504,502,649,649,800,502,503,649,282,117,748,800,649,500,800,649,503,800,501,503,16,800,800,501,504,500,501,282,502,500,282,170,282,569,800,280,502,649,800,649,282,502,800,800,500,500,800,500,800,645,502,282,800,16,502,649,501,500,502,16,501,501,800,800,649,501,800,656,504,501,800,938,649,500,800,503,502,504,649,503,500,526,501,503,649,16,649,800,282,800,800,649,107,503,500,503,800,800,800,503,501,16,236,800,282,500,649,800,649,500,511,502,649,649,503,502,501,503,800,458,501,282,649,649,450,16,501,503,502,800,800,501,502,800,800,649,800,501,649,503,282,502,293,500,16,501,282,503,649,282,502,500,800,800,502,501,500,501,649,500,282,282,502,503,500,282,800,649,649,480,502,800,501,282,502,800,800,107,502,282,800,649,501,502,501,501,504,800,282,286,502,297,800,282,503,800,500,649,502,649,800,16,501,649,500,400,800,502,800,649,502,649,500,500,503,504,800,649,47,502,16,800,503,800,502,503,800,649,931,501,445,649,503,800,503,282,649,501,503,501,503,649,618,103,501,649,500,502,502,800,502,215,649,649,503,103,649,503,502,503,649,282,16,282,502,503,784,649,16,436,437,79,504,500,255,500,500,649,502,845,282,501,500,503,282,503,500,649,800,501,501,800,502,500,649,800,504,502,502,649,922,800,79,502,282,503,100,16,239,649,104,501,373,503,16,282,649,503,503,800,3,500,500,503,800,502,800,503,502,503,501,800,502,501,503,800,575,800,649,649,502,649,501,502,873,501,800,282,649,649,649,800,800,649,649,282,600,502,503,501,349,649,649,649,503,503,220,502,500,500,501,649,800,503,649,501,501,800,16,502,500,800,500,282,502,282,503,800,800,501,504,649,431,501,681,649,306,649,504,503,500,502,282,500,502,800,501,501,503,649,500,501,502,282,503,16,500,500,503,800,502,800,502,649,500,850,503,715,800,649,800,503,143,501,649,500,649,502,501,83,501,500,649,502,800,503,16,500,649,208,500,800,282,500,282,282,503,282,127,502,649,503,219,649,282,502,649,282,282,501,501,677,649,800,501,502,649,649,800,649,800,502,500,500,800,503,438,800,240,830,503,282,183,649,158,800,502,44,649,800,502,800,500,348,501,282,282,500,501,502,649,975,649,800,649,800,500,502,649,503,501,649,500,502,109,502,649,368,501,503,649,16,514,502,800,501,501,649,500,467,649,107,282,501,800,501,282,502,501,501,502,502,282,800,649,500,502,800,500,800,800,800,961,503,800,500,501,500,501,502,502,501,800,282,16,800,500,649,649,282,16,502,501,16,649,502,502,503,844,501,772,800,107,688,668,500,503,488,800,727,500,649,500,502,503,503,666,16,502,800,649,55,800,227,800,502,503,282,800,502,649,500,503,800,503,502,502,800,649,502,649,503,504,501,800,500,800,500,16,649,282,649,501,503,649,502,800,503,406,94,800,418,800,504,501,203,500,504,500,500,503,502,503,434,282,501,500,501,503,800,503,501,800,800,503,210,501,213,500,282,502,501,502,503,503,503,649,800,800,502,503,501,500,503,282,800,500,94,16,800,16,500,649,500,861,110,500,500,501,649,844,282,800,649,800,800,503,655,503,800,503,649,503,503,500,649,501,503,500,970,502,500,649,282,800,800,649,500,768,500,502,800,500,879,500,503,649,649,501,502,649,501,504,504,967,16,16,16,500,800,503,9,649,800,502,107,500,282,502,500,503,282,800,503,502,317,800,500,500,800,666,649,800,800,994,501,500,103,358,500,649,547,107,501,502,501,328,502,503,391,649,503,503,16,131,800,502,282,800,502,16,800,501,800,800,56,503,502,632,502,800,649,502,503,649,800,501,500,501,500,800,502,577,649,800,503,502,649,501,649,503,503,16,503,503,503,502,502,16,503,649,282,26,282,501,272,500,649,501,800,501,502,729,649,501,501,502,501,500,668,103,649,649,930,503,649,500,500,503,800,800,501,800,503,107,501,502,500,502,500,502,260,500,500,373,503,500,501,649,870,501,502,800,500,649,282,502,502,16,796,500,800,282,649,501,649,504,504,935,500,500,501,481,502,649,500,504,503,649,649,503,649,501,649,649,502,502,649,103,362,500,16,800,500,649,425,500,786,649,16,16,503,500,649,282,545,649,649,502,800,503,501,500,282,500,800,504,649,27,501,800,502,503,502,502,501,695,282,800,503,500,406,501,502,503,282,16,500,502,502,800,501,282,501,502,501,500,500,501,649,800,502,500,800,928,504,502,16,503,16,500,424,800,649,502,503,502,649,800,649,16,800,9,501,500,800,674,649,501,503,282,500,503,649,330,501,501,501,937,503,649,926,501,503,282,649,649,503,800,500,649,740,501,800,800,502,649,501,503,504,649,800,501,501,649,500,649,800,312,716,500,282,500,27,500,282,182,800,501,502,649,500,800,649,503,500,159,502,502,502,800,771,501,500,503,250,282,500,800,858,502,16,504,800,503,501,989,800,503,502,800,800,466,649,502,297,501,678,501,800,840,103,500,502,501,800,501,501,649,649,282,107,977,34,785,503,501,800,258,502,800,503,649,500,503,649,649,500,500,500,649,502,800,339,503,649,502,800,500,282,306,503,649,800,501,16,501,649,502,500,649,649,800,282,500,800,282,800,649,501,503,501,939,589,500,503,502,502,912,500,502,503,503,800,735,502,500,503,500,501,501,649,282,678,500,649,282,297,800,503,502,649,742,100,282,500,501,649,649,500,316,282,649,503,800,800,501,800,282,500,800,500,800,502,649,502,502,282,800,502,501,282,501,503,501,649,500,503,503,16,503,800,282,500,500,503,501,800,501,503,95,500,649,649,800,502,700,503,800,800,800,649,282,502,649,503,282,500,16,502,500,501,800,501,500,500,914,800,503,503,800,504,502,282,500,103,502,42,167,800,107,800,503,649,503,500,800,649,501,421,282,800,501,52,800,502,500,503,500,16,649,503,649,16,800,961,807,501,502,502,503,797,501,467,502,503,503,503,501,503,502,800,502,503,800,501,501,500,649,500,120,800,501,502,420,502,503,649,500,503,209,907,649,503,502,502,500,649,500,501,282,800,282,800,800,16,502,800,500,503,500,503,800,502,502,502,649,503,501,500,649,921,502,502,649,501,681,800,800,502,800,500,502,502,502,649,502,502,81,501,501,649,500,502,503,502,649,800,503,501,282,282,503,16,502,282,107,118,800,649,649,500,503,649,502,16,503,502,500,800,800,500,501,500,684,503,800,649,503,649,501,800,649,502,500,500,800,502,501,800,501,504,649,500,501,501,649,501,649,502,500,597,502,649,501,502,941,500,503,502,420,502,282,501,840,500,500,502,502,502,503,16,501,800,800,503,800,503,502,500,282,800,350,649,649,502,501,649,501,504,500,649,501,502,500,800,559,692,503,214,142,502,62,501,605,500,501,800,501,896,500,502,502,502,503,502,364,649,502,500,503,503,502,501,282,800,501,800,649,800,503,821,503,500,504,503,502,492,649,649,800,500,502,103,501,503,649,500,800,500,991,502,500,502,503,807,251,800,103,282,502,800,503,649,502,501,500,447,501,282,800,501,649,282,502,502,801,800,503,439,800,649,502,649,649,503,282,501,503,800,16,504,501,502,800,446,282,649,503,502,503,107,501,800,282,282,282,501,500,649,500,504,807,800,500,649,973,282,500,500,501,16,107,981,800,501,107,282,35,502,649,500,649,649,501,503,649,503,16,857,16,16,649,501,649,800,649,800,503,662,503,477,800,500,649,800,800,282,500,503,501,45,502,800,501,16,500,503,649,501,500,501,282,503,502,800,502,800,16,501,800,282,500,502,800,800,282,16,503,500,854,500,800,500,805,800,502,500,649,947,735,502,500,501,501,500,16,503,282,800,503,487,16,501,502,503,504,500,500,649,649,501,502,501,649,421,100,282,800,500,649,500,500,503,501,501,157,501,16,934,501,503,501,503,649,16,501,800,503,502,501,800,503,502,649,500,800,500,500,800,800,503,738,502,649,800,800,503,501,501,500,62,501,503,649,649,800,501,502,501,800,502,503,500,503,667,500,282,503,502,502,500,135,502,107,500,503,990,649,503,503,103,503,931,649,500,16,500,500,501,500,456,500,504,909,502,502,502,501,282,800,502,502,502,503,501,503,502,501,800,800,502,502,282,500,500,16,649,282,500,800,502,502,649,503,501,353,800,501,503,807,649,501,800,503,800,501,649,502,649,649,503,500,800,554,502,649,800,501,649,503,502,705,500,800,503,503,502,649,500,502,502,503,282,16,800,16,649,800,500,282,800,500,502,500,16,500,500,500,800,871,501,282,500,119,800,800,502,282,500,800,649,502,503,649,500,503,501,800,649,500,664,501,502,502,282,800,502,16,500,503,282,705,173,503,501,282,797,939,501,800,836,503,503,503,282,502,649,503,200,800,502,479,501,500,649,503,800,500,493,500,16,300,649,800,649,500,500,800,800,282,850,800,649,501,282,502,800,501,504,502,501,649,500,502,500,878,503,800,501,348,16,735,800,800,501,502,501,649,800,502,502,107,503,282,649,696,800,502,502,800,501,501,800,282,187,502,282,502,282,373,501,501,500,503,16,501,282,107,687,502,502,844,649,501,970,501,800,503,800,502,501,503,251,501,530,503,502,864,800,503,649,501,368,800,649,500,425,501,649,800,649,503,649,31,800,502,649,282,500,649,800,501,812,649,501,501,500,649,282,800,649,500,477,282,462,503,503,502,640,500,502,501,856,282,503,20,103,501,500,800,282,501,702,800,282,107,502,649,282,503,649,501,501,500,649,656,649,501,16,649,16,649,503,800,800,503,503,382,800,502,502,502,500,501,503,800,282,502,502,500,282,502,800,586,501,503,154,649,502,502,500,649,500,800,260,649,501,175,503,800,500,500,501,282,127,800,501,649,502,503,420,504,500,503,500,282,500,501,500,439,502,501,649,649,503,649,503,649,502,501,740,503,800,800,500,501,501,649,503,800,282,800,726,705,500,649,819,282,16,649,16,800,500,501,503,800,800,500,595,705,282,500,649,800,503,502,649,500,532,500,500,800,501,500,502,500,800,649,500,800,500,800,282,580,501,501,503,649,800,501,502,502,452,500,800,800,800,800,503,282,649,500,502,649,800,649,282,282,503,501,503,502,503,800,649,282,16,500,800,502,502,500,502,500,503,282,704,503,503,500,800,16,282,502,800,149,282,502,501,502,503,800,814,282,282,502,502,576,800,649,502,501,503,503,503,282,503,501,503,282,649,500,501,502,214,500,504,282,502,800,800,649,502,500,500,668,503,502,800,503,282,649,282,649,649,503,282,752,282,500,16,649,107,282,502,649,16,800,282,649,649,800,649,649,16,502,800,502,94,388,501,107,501,16,500,500,800,502,339,704,501,500,503,500,649,649,504,649,504,501,649,282,649,282,679,503,500,503,649,503,502,899,501,503,500,800,503,649,502,800,502,649,501,503,256,769,649,16,282,501,77,500,503,588,502,501,501,639,800,649,501,504,800,282,670,800,800,502,502,649,800,513,649,800,16,800,800,502,282,500,501,500,800,502,503,502,501,500,500,502,649,649,282,502,480,501,800,328,500,503,504,503,649,502,502,503,649,107,501,649,502,800,503,649,649,12,16,430,500,501,282,103,501,282,502,649,282,501,502,649,501,503,500,503,503,500,800,113,502,502,503,500,503,503,502,503,800,554,501,502,282,501,500,649,649,649,649,500,544,282,501,524,649,649,649,502,282,503,503,963,501,649,501,504,649,501,500,649,500,659,502,503,500,500,573,282,600,501,501,500,800,649,502,649,500,327,462,800,431,503,500,275,502,649,502,500,649,800,649,502,500,503,501,649,800,503,336,504,800,501,500,503,502,503,800,500,501,501,500,503,500,800,800,649,501,649,649,800,501,504,502,500,534,800,500,376,800,800,500,501,866,649,800,432,501,500,502,500,591,800,502,73,649,649,503,502,800,717,500,502,939,501,501,282,800,5,649,800,925,501,501,800,649,500,800,800,800,503,500,503,800,282,503,649,16,800,649,107,282,500,500,581,282,282,503,649,800,800,502,16,60,800,800,501,500,502,16,800,503,649,649,504,282,502,103,503,800,800,502,800,961,270,800,501,649,500,503,649,502,501,119,501,679,504,502,800,282,282,38,800,504,649,503,282,502,501,503,500,67,500,500,383,503,500,649,800,501,800,649,502,500,282,501,492,220,502,500,503,137,500,649,893,503,501,649,501,121,211,16,800,649,649,502,649,500,705,501,503,500,502,503,800,501,103,501,208,500,501,500,143,500,389,16,800,500,501,107,771,282,503,500,800,282,800,500,649,501,500,501,502,649,502,500,68,16,502,800,502,502,16,502,800,800,502,606,501,502,649,501,502,282,649,503,503,649,487,649,107,282,504,800,282,502,649,501,502,282,502,500,501,502,282,649,500,649,502,800,282,501,503,502,282,501,503,503,800,800,282,800,507,502,503,502,282,500,500,649,282,503,282,607,649,800,649,503,800,500,502,501,649,800,503,501,501,282,500,502,501,504,500,501,503,501,16,26,503,503,649,800,503,503,500,939,503,649,800,800,504,503,501,500,649,504,504,502,502,251,604,16,800,501,502,800,503,502,501,103,502,649,800,649,502,500,501,503,610,502,321,282,552,649,649,800,503,502,16,502,161,800,649,800,502,649,905,502,641,282,649,916,500,503,309,649,649,800,501,844,503,502,217,16,501,649,502,502,501,384,649,282,610,800,502,615,600,16,503,502,500,503,800,503,501,800,503,503,500,98,282,503,149,500,501,501,800,800,800,501,800,503,649,500,500,503,649,334,501,501,503,289,502,502,649,800,500,500,649,800,800,503,649,503,947,649,502,503,282,656,501,501,503,500,503,649,282,501,501,107,503,503,501,502,501,503,16,503,649,502,503,501,282,649,503,501,649,282,649,504,503,800,501,800,500,800,649,500,76,502,649,800,649,502,501,616,500,500,503,649,649,191,501,957,500,503,282,282,282,502,649,501,800,502,500,16,504,800,256,800,504,503,502,282,649,226,501,800,500,649,409,502,500,800,503,500,504,502,815,502,500,704,235,501,16,800,649,302,800,649,476,503,503,500,500,800,800,16,503,800,16,502,16,501,502,501,649,649,501,649,504,502,649,649,503,500,501,282,500,649,502,501,500,649,501,649,502,649,649,503,649,894,282,501,25,503,649,649,649,747,649,501,16,501,108,649,282,503,502,800,649,282,649,500,649,501,649,501,503,503,282,503,501,500,503,891,649,282,293,500,649,800,502,649,502,282,502,282,500,501,282,649,649,282,501,800,501,800,808,503,800,282,503,502,503,501,504,500,649,649,501,500,800,558,501,501,501,282,501,800,501,649,501,183,282,503,699,800,500,502,501,282,503,501,503,982,503,682,800,960,649,504,800,943,649,502,16,800,502,282,845,800,504,500,282,500,600,500,502,800,282,800,501,500,955,503,16,502,800,649,800,503,503,282,282,503,800,282,501,503,800,502,582,502,649,649,500,649,501,807,503,649,501,504,501,426,282,503,282,859,503,502,503,649,16,800,503,649,800,800,503,502,308,899,503,502,606,800,501,649,501,282,800,800,501,301,61,800,800,502,503,649,500,800,649,501,500,503,649,800,500,503,630,282,501,16,502,282,503,502,836,502,500,503,501,500,728,800,501,501,501,282,481,500,500,500,282,502,500,504,500,373,501,502,282,500,500,500,437,649,649,800,16,16,501,649,503,501,800,502,649,282,504,500,503,502,503,649,502,502,16,800,500,503,800,282,16,649,649,500,282,503,502,538,282,16,501,800,502,649,503,800,500,800,649,800,502,500,12,500,504,501,16,501,800,501,503,503,500,502,800,503,649,502,556,800,503,800,503,800,649,502,501,604,282,282,500,649,500,800,649,502,649,800,800,503,503,503,500,503,501,502,500,501,690,336,501,553,916,501,649,503,503,502,500,800,500,649,500,501,649,649,649,282,502,16,282,503,501,501,724,282,501,649,16,800,503,502,502,501,44,502,16,502,501,800,500,800,649,800,500,197,107,578,800,503,501,649,809,800,800,800,501,503,502,800,500,501,501,501,800,501,501,500,501,504,800,649,649,500,501,282,501,16,282,500,501,282,282,800,800,503,503,417,800,501,500,501,800,800,421,16,276,503,800,500,103,649,500,501,800,501,502,501,500,800,503,800,800,502,502,623,501,502,502,107,649,24,503,502,501,502,345,649,16,500,16,649,282,800,470,846,500,503,649,800,16,500,502,501,501,35,501,502,800,501,282,501,502,503,501,500,500,503,834,502,649,531,800,647,501,501,502,502,107,800,800,502,649,502,941,649,649,503,566,503,500,502,800,178,500,50,800,800,481,503,502,501,282,502,40,800,18,649,503,504,502,500,649,500,501,503,503,282,501,800,16,502,16,282,192,800,503,503,16,504,800,501,800,282,800,800,800,282,503,800,501,16,649,484,649,502,502,282,500,501,500,551,282,501,393,502,500,800,500,502,500,501,501,282,503,649,502,502,282,502,800,800,649,649,501,501,502,649,500,625,500,502,503,500,503,800,150,946,500,503,501,203,501,800,501,54,649,501,176,236,502,649,500,502,503,501,502,500,158,649,500,500,502,649,500,800,282,502,282,501,907,16,649,282,282,282,502,500,61,16,500,132,501,502,705,649,501,333,501,649,800,298,500,503,705,501,282,282,649,282,604,800,503,282,714,611,800,503,502,500,500,800,503,360,503,500,649,502,642,501,502,501,389,800,501,282,503,649,501,501,502,503,502,501,74,800,375,800,649,501,501,501,503,500,500,500,500,800,500,503,458,501,503,502,107,282,502,908,503,282,649,649,649,502,649,502,503,495,649,502,500,464,282,503,500,964,500,502,500,504,501,502,501,501,107,500,503,501,501,500,502,550,282,501,502,649,502,501,800,501,500,500,502,501,501,503,502,282,503,649,649,503,500,800,156,502,502,501,282,166,649,502,503,649,809,800,501,502,990,501,622,282,723,282,800,282,502,501,282,500,500,503,800,649,501,649,503,16,282,501,800,800,16,800,841,500,649,502,503,500,800,501,282,800,800,502,500,16,649,501,500,606,500,503,649,502,501,503,147,800,502,503,501,502,987,504,500,502,649,800,500,502,649,649,800,810,800,500,282,800,503,500,501,58,649,502,649,503,502,503,800,501,530,800,501,15,502,501,503,502,503,500,503,282,649,840,502,649,282,649,503,503,502,504,649,503,800,502,500,503,502,16,503,501,817,500,503,55,384,502,250,800,502,649,381,502,501,800,189,16,649,500,502,282,16,649,502,800,500,58,649,500,621,503,504,500,511,649,495,800,649,800,503,500,282,800,502,800,649,649,502,501,589,503,483,502,503,501,800,502,16,800,282,282,800,282,282,282,282,834,649,501,100,503,500,500,504,502,649,649,500,119,502,800,500,800,502,785,501,800,504,496,502,501,649,649,107,500,500,500,800,282,800,649,800,649,500,502,500,502,501,502,503,500,572,500,649,649,16,501,282,500,649,649,800,501,649,501,502,649,372,852,503,503,500,500,503,996,649,660,504,504,502,501,503,502,502,649,103,16,649,502,500,800,502,649,649,500,800,969,557,278,503,16,503,756,649,649,501,501,649,282,502,500,503,500,500,899,500,547,501,502,270,800,649,573,554,800,800,649,800,912,649,649,503,504,501,649,800,502,503,500,500,649,827,502,822,705,501,501,282,800,649,107,800,282,502,502,16,649,503,282,435,16,501,800,538,500,502,500,501,282,36,500,649,495,649,16,255,649,800,800,800,501,503,143,502,502,504,502,502,16,500,502,100,503,503,502,85,500,501,501,502,503,501,500,500,800,502,776,649,649,502,649,503,503,448,503,500,649,649,502,800,500,649,500,144,103,649,282,800,501,649,502,800,800,501,800,501,500,503,649,503,500,501,649,501,282,501,800,503,649,502,500,501,500,649,649,400,800,800,500,800,333,500,503,500,503,800,282,502,503,282,633,502,800,282,504,800,282,282,502,750,800,649,501,501,800,649,500,500,503,501,800,649,282,282,503,16,502,241,500,502,16,231,282,800,800,503,501,502,282,502,324,649,16,503,16,894,282,282,366,503,503,999,501,282,502,649,500,649,712,649,649,501,503,503,649,501,503,798,800,500,500,501,503,63,717,16,561,282,3,500,282,649,503,500,500,501,800,800,502,649,503,500,500,502,502,503,502,318,502,649,504,124,503,800,800,649,649,800,501,503,503,503,501,800,800,501,649,500,503,502,501,500,501,502,800,649,503,800,282,501,501,633,502,800,503,266,501,500,500,16,500,628,103,501,502,503,649,649,282,500,501,282,501,500,503,800,502,649,282,503,649,503,503,750,282,800,501,502,503,800,800,871,800,503,282,500,501,503,649,649,501,649,503,502,502,502,649,674,501,496,649,500,502,378,503,503,501,500,800,503,282,500,500,503,649,800,501,802,500,107,503,16,282,804,800,1000,500,501,501,16,502,503,282,500,16,500,282,649,800,503,500,608,502,503,501,503,800,649,501,649,503,502,879,649,649,502,363,502,282,649,16,282,22,502,503,501,503,649,800,800,800,502,319,649,282,500,649,503,649,500,282,503,501,649,503,500,503,800,503,649,502,649,649,502,503,800,282,978,502,282,500,995,500,16,649,730,503,800,16,502,800,501,282,503,649,502,502,500,649,705,500,502,503,234,500,500,500,800,598,942,503,501,500,503,800,800,800,504,503,649,500,800,501,503,282,993,502,502,502,649,501,800,501,500,503,501,501,800,503,503,649,502,503,376,807,501,649,139,282,502,16,502,501,502,502,503,16,503,800,800,500,649,649,629,500,800,800,501,800,500,501,503,501,500,501,16,500,500,503,103,503,500,502,502,502,851,649,649,504,649,501,503,500,649,502,649,501,649,583,800,649,358,503,502,16,649,501,649,503,705,500,501,649,873,649,503,502,861,501,503,16,965,649,502,502,295,636,282,501,800,649,500,800,500,500,502,503,282,282,677,503,700,22,922,502,952,502,800,501,433,800,500,503,649,500,503,501,800,800,502,649,500,800,282,501,501,800,282,282,185,503,503,501,804,649,800,501,649,800,282,800,800,800,449,501,501,500,502,649,504,282,500,503,649,604,501,800,649,502,503,282,503,800,282,502,282,649,503,649,800,502,107,145,502,800,649,282,501,502,501,800,282,501,649,649,502,282,502,282,500,503,502,800,502,314,500,16,502,800,501,500,504,552,502,525,503,378,503,503,501,649,502,500,500,649,282,800,800,501,500,800,800,800,649,503,16,502,680,800,800,502,16,500,284,502,16,800,554,800,502,502,503,500,500,649,501,501,502,503,501,501,502,502,502,16,800,649,502,501,500,800,501,503,500,800,800,501,800,800,282,649,501,501,503,502,649,502,500,802,501,501,501,16,649,367,800,800,502,503,649,649,800,649,649,501,800,649,282,800,96,980,413,502,435,503,502,500,268,649,500,503,504,649,503,282,800,502,649,800,500,500,500,502,500,16,16,649,282,905,500,649,500,649,16,503,500,500,218,504,502,501,649,504,500,488,161,500,501,800,800,282,800,503,503,502,502,649,502,501,502,500,500,160,500,502,502,503,502,649,502,504,282,500,502,503,502,649,500,502,237,16,502,500,16,649,583,501,503,282,502,502,503,649,800,503,649,500,26,282,500,501,800,502,503,500,503,16,282,800,502,649,502,502,649,267,501,504,649,501,16,502,800,503,649,501,502,649,800,649,503,800,500,649,500,503,800,500,500,649,16,16,649,503,800,800,500,502,649,912,503,503,901,504,800,529,649,501,501,500,500,504,183,649,282,503,503,649,500,503,503,282,503,800,503,196,649,502,800,649,501,800,502,800,504,649,229,800,800,626,800,501,500,282,800,502,739,500,282,807,800,107,800,649,649,501,41,399,16,502,649,282,743,500,649,649,306,16,501,301,503,964,501,503,503,503,501,16,500,800,503,503,649,501,502,500,649,500,502,503,501,16,504,764,800,46,454,503,649,797,800,502,501,503,501,800,649,16,282,500,500,501,649,722,503,16,501,452,503,282,501,282,920,502,502,500,920,800,503,500,282,285,282,500,800,800,502,649,282,800,503,107,282,282,649,503,501,503,500,282,500,16,282,649,502,911,503,800,800,501,503,503,93,800,282,800,649,501,800,16,800,502,649,649,909,503,503,501,501,944,800,502,800,282,503,649,503,501,500,282,501,504,502,800,336,503,800,500,500,649,502,919,503,282,502,503,282,282,16,282,649,649,500,16,800,503,649,501,502,500,282,649,502,921,501,501,501,728,501,649,800,649,501,800,500,501,502,503,500,800,800,649,649,649,500,649,282,649,502,784,502,649,282,503,16,100,649,501,705,48,282,649,501,501,503,696,501,953,800,649,800,793,502,282,500,362,800,502,16,501,501,502,800,837,783,500,501,500,282,30,502,501,500,649,502,503,500,501,800,800,500,502,649,800,502,800,500,503,800,800,649,282,500,800,503,500,503,502,800,501,282,282,500,268,501,680,800,282,800,501,649,131,241,503,282,282,503,89,501,436,800,649,107,503,649,800,504,649,502,501,500,800,649,500,145,649,649,800,705,500,282,502,502,649,502,501,501,649,649,331,500,649,800,501,649,501,624,504,502,649,800,500,502,649,649,501,624,501,649,649,501,800,800,500,800,800,800,800,588,649,649,500,282,503,468,503,800,282,503,649,297,500,502,415,500,503,823,502,282,282,500,800,501,503,649,397,753,500,503,501,282,557,501,500,282,501,503,500,649,502,502,649,649,500,500,16,502,303,502,282,649,419,16,800,800,502,800,501,501,501,503,503,649,282,282,649,107,503,502,502,351,502,503,16,503,800,501,16,112,793,649,649,501,501,503,502,223,800,649,730,500,282,800,500,504,361,501,500,503,500,649,503,500,500,503,16,649,503,800,226,649,649,502,800,501,649,502,503,649,503,800,501,504,504,800,501,649,963,500,501,649,502,649,500,649,503,501,801,502,503,282,800,649,147,503,500,649,800,500,649,649,649,282,649,503,501,800,282,800,800,412,500,503,500,165,502,800,502,501,500,358,649,501,649,649,649,501,501,649,500,282,501,501,800,42,800,501,654,110,500,649,500,800,374,502,873,800,282,649,132,94,501,500,501,501,500,800,502,649,503,107,501,503,649,104,502,500,501,502,800,282,649,503,503,502,42,649,501,800,503,961,501,503,800,502,800,134,282,503,502,503,430,800,500,501,800,501,501,501,502,502,500,500,649,800,800,16,501,502,103,501,800,649,501,649,503,440,304,649,500,500,501,503,800,859,649,501,501,501,500,504,800,502,502,500,375,16,649,503,764,501,500,502,500,503,500,500,501,501,501,16,649,498,500,800,649,282,503,649,502,500,503,649,501,800,941,800,649,649,800,500,502,500,501,503,649,503,649,649,502,502,798,198,649,501,501,649,502,501,282,502,500,649,501,503,649,282,649,529,800,500,649,800,282,501,649,107,209,500,502,503,649,500,502,501,503,502,503,501,500,500,800,800,282,500,800,800,500,500,225,829,501,282,649,705,703,649,649,500,500,877,800,502,800,501,500,282,282,504,500,503,649,298,502,649,501,501,649,800,503,502,103,649,16,500,649,500,282,503,503,502,800,649,501,649,500,501,649,500,649,323,502,800,501,500,501,282,503,503,503,500,16,667,504,503,271,500,987,500,503,800,501,800,776,503,503,503,501,649,800,800,502,800,649,502,800,503,501,649,500,649,800,503,500,500,504,501,800,911,800,502,501,500,649,503,800,502,649,503,800,500,107,800,503,107,16,501,502,77,500,501,800,503,800,500,503,500,451,800,502,500,503,800,282,16,503,649,504,503,500,501,614,501,800,16,502,500,282,502,500,503,500,800,503,649,501,502,649,502,649,282,800,800,800,500,649,16,800,500,502,503,282,503,649,521,856,503,107,503,282,986,502,503,63,503,503,800,502,649,288,504,9,649,175,276,649,282,500,800,503,800,800,800,649,503,500,502,502,500,915,800,500,503,649,282,649,503,282,223,503,503,500,503,282,500,649,500,649,103,800,503,501,620,463,800,265,800,800,519,107,348,649,649,16,503,799,503,800,649,502,282,503,966,282,649,16,502,503,502,521,503,500,800,800,503,501,502,502,500,800,502,503,107,196,649,502,175,649,800,282,568,649,503,242,502,504,503,501,800,16,16,649,282,501,500,500,800,503,503,800,502,649,501,649,282,501,501,501,500,649,503,800,618,998,501,649,500,502,500,502,502,502,649,503,380,800,649,500,503,500,649,649,500,307,502,637,501,500,501,501,16,886,857,649,649,502,282,85,649,501,649,501,800,500,501,502,501,502,800,168,649,649,800,933,16,282,503,16,649,429,282,800,649,502,502,501,502,282,16,800,502,807,282,501,502,500,500,649,502,649,16,501,502,501,800,503,800,16,500,800,502,800,500,500,502,800,59,501,282,502,503,502,501,500,501,800,500,721,501,649,504,800,502,500,500,649,649,501,16,503,503,503,503,282,501,501,282,502,800,800,800,649,502,504,440,382,501,501,103,501,16,282,800,923,800,800,503,800,16,501,501,500,5,503,649,800,500,502,429,800,282,502,502,800,501,16,649,170,500,800,649,800,500,501,501,16,503,649,16,502,501,503,668,501,800,503,107,501,502,502,16,503,568,649,562,502,500,500,501,500,502,107,501,503,282,800,502,649,502,504,503,800,649,500,502,501,500,501,503,754,502,503,649,500,503,502,649,282,500,649,501,649,502,800,800,501,502,502,501,800,503,503,503,649,502,649,800,500,16,500,503,800,503,502,501,800,494,500,500,16,502,501,500,500,544,649,503,800,502,649,501,282,649,502,503,649,282,500,16,800,800,500,501,503,500,800,800,16,502,107,503,282,500,500,800,502,649,649,649,649,649,503,501,649,800,502,649,500,800,649,928,501,503,502,595,800,501,501,649,800,346,16,855,107,255,282,282,800,501,282,501,502,800,649,282,892,503,502,800,500,649,16,501,503,503,500,230,503,800,16,699,800,501,649,649,649,501,800,800,500,649,501,758,500,282,649,503,800,500,649,502,800,604,500,649,16,503,111,282,649,649,16,16,504,282,502,503,501,16,103,502,503,800,503,502,16,648,488,504,503,502,502,92,282,494,503,502,502,502,800,503,282,800,432,800,212,649,295,59,502,503,503,800,503,16,800,503,502,501,500,370,649,748,501,500,738,107,501,502,364,500,765,649,786,282,649,649,502,800,649,800,800,501,500,260,502,501,649,800,649,503,282,502,107,649,282,502,107,800,502,500,500,649,886,500,107,649,933,502,502,502,282,501,500,500,502,500,800,503,649,500,501,594,503,282,649,501,500,503,800,282,500,502,722,502,103,16,282,501,282,500,503,502,500,502,500,326,649,878,502,500,500,502,501,16,503,800,501,800,502,750,282,500,501,649,501,800,504,649,502,282,96,282,808,501,649,502,503,500,800,501,501,500,502,877,800,503,715,298,502,41,649,800,503,501,544,649,800,500,501,501,500,649,677,501,649,322,282,649,282,502,503,500,649,649,800,16,504,500,501,501,501,422,500,503,649,800,282,502,649,649,503,500,103,502,649,864,502,800,502,800,800,282,800,282,800,501,502,800,800,502,800,800,800,503,501,649,500,501,985,501,501,502,500,800,501,860,649,503,800,649,800,649,317,800,500,282,530,649,800,501,649,502,282,649,800,501,800,649,504,503,503,500,282,500,501,501,502,501,16,207,501,500,800,282,445,504,501,503,502,800,503,423,800,800,500,500,282,501,649,800,183,49,500,501,705,649,502,500,649,501,800,16,800,282,649,503,16,283,649,800,501,502,502,501,500,800,502,503,649,649,800,504,282,282,649,511,800,800,500,502,502,500,800,503,503,500,503,503,501,800,500,503,332,503,800,500,500,649,800,503,800,649,16,800,649,501,649,282,800,800,500,503,282,282,710,503,504,800,503,103,503,623,649,800,500,502,503,502,649,800,758,282,649,503,500,183,282,501,501,800,503,649,555,500,502,502,503,500,649,501,501,885,649,500,500,502,501,501,649,282,540,832,502,552,282,501,501,502,503,800,500,503,800,649,649,800,502,282,103,282,16,501,502,502,649,502,502,649,500,502,800,823,649,649,502,501,502,500,973,817,501,501,800,502,649,800,649,501,502,502,282,501,649,502,501,338,500,500,503,502,502,649,649,800,502,503,501,501,504,500,649,649,503,649,183,984,502,649,503,800,503,500,800,282,503,800,501,107,671,649,504,649,800,502,649,649,503,500,500,500,501,754,502,501,649,500,501,800,546,501,274,503,705,501,503,800,500,501,500,649,502,502,502,501,500,500,501,504,800,282,649,649,500,503,501,503,800,501,282,503,800,800,649,503,501,649,503,800,649,500,800,503,502,501,500,500,500,619,502,500,503,136,501,282,503,502,408,503,649,500,503,524,500,649,649,16,502,503,800,282,503,501,504,500,501,500,193,649,2,503,649,500,93,500,501,214,501,501,649,600,503,500,649,800,501,649,800,501,501,502,243,500,503,401,504,503,282,503,649,503,500,800,502,282,466,501,800,502,800,800,501,503,649,501,502,240,282,501,282,800,649,500,500,501,649,599,822,800,800,649,501,503,89,503,952,502,501,986,500,503,503,800,282,501,629,500,16,282,16,341,16,800,500,503,800,501,501,502,501,502,282,7,503,500,649,500,502,800,503,532,156,501,649,16,282,282,500,502,649,107,502,282,500,282,500,282,800,503,649,501,426,282,800,501,501,502,282,502,500,502,502,649,184,501,800,500,582,503,501,649,800,728,649,419,649,649,649,107,500,504,500,502,282,501,500,649,282,282,649,501,807,501,411,649,501,502,502,800,800,800,800,107,501,501,500,649,649,503,800,420,649,800,504,282,16,147,500,16,282,500,543,649,503,103,107,503,649,282,524,800,649,16,800,16,502,800,504,186,649,503,77,788,502,800,502,503,649,670,501,800,502,16,800,504,503,649,800,565,503,649,944,800,503,503,503,16,649,500,354,501,498,800,500,282,500,503,649,282,649,503,282,502,649,551,501,550,574,501,502,16,800,503,502,500,500,501,282,503,504,501,649,501,800,16,160,502,502,678,500,649,500,503,500,649,501,282,649,800,800,282,282,502,409,501,500,500,282,500,992,649,503,501,649,631,800,800,500,649,500,502,649,502,800,502,955,501,16,800,649,458,504,502,502,501,322,500,502,282,501,501,800,649,800,800,500,504,800,282,351,282,282,501,856,503,502,502,800,502,61,502,282,502,502,500,649,500,502,107,103,282,501,502,494,649,501,800,503,501,800,103,800,649,282,282,800,502,502,800,503,503,500,502,461,500,501,800,502,800,501,399,500,500,501,503,867,536,504,800,501,500,800,501,282,800,503,16,502,327,649,16,973,500,16,649,493,500,500,502,297,282,800,800,16,503,501,500,649,502,502,500,800,504,943,800,500,502,503,800,501,502,282,562,16,501,500,282,500,501,800,504,502,649,501,649,503,800,504,503,16,649,129,500,800,649,502,502,282,500,502,500,501,16,649,500,502,502,800,503,500,503,502,649,544,503,282,649,282,503,649,800,649,649,503,503,282,282,501,11,502,800,500,502,649,503,649,501,501,503,649,502,650,500,800,501,500,649,599,100,501,501,501,500,500,440,800,147,938,801,501,598,502,501,649,649,103,16,501,800,649,649,501,502,501,47,16,393,59,715,500,282,501,800,800,502,502,114,649,503,500,70,649,500,501,800,649,501,501,282,800,649,16,500,649,800,503,800,800,503,396,500,503,503,502,501,501,502,501,107,649,800,501,501,503,503,503,649,656,800,270,501,120,500,282,503,501,649,800,800,503,500,502,491,501,504,649,649,514,290,501,500,502,502,282,501,503,649,16,500,500,143,282,649,503,501,504,69,502,619,16,16,800,282,501,800,503,500,800,800,500,892,503,649,800,504,800,502,800,502,103,502,502,501,501,503,800,16,16,800,800,800,504,884,800,800,900,502,501,224,501,649,502,649,500,649,15,501,800,500,503,501,503,502,143,500,500,282,800,501,484,282,800,503,800,501,649,800,649,243,649,501,501,501,502,652,18,502,282,503,16,649,502,800,501,500,670,503,800,210,282,800,800,503,503,500,501,503,414,800,501,500,500,187,807,500,502,282,501,482,502,500,501,800,500,503,649,500,500,500,649,502,328,500,800,282,501,649,501,183,502,500,500,800,500,501,649,500,532,501,103,501,500,649,500,755,282,501,800,501,800,107,502,282,649,503,503,503,503,472,502,503,501,504,500,503,967,503,502,502,649,649,501,800,326,649,501,503,503,500,500,282,502,503,504,27,705,500,178,16,282,282,800,800,800,282,503,360,503,800,800,649,800,649,503,811,187,502,357,282,300,501,500,502,502,501,649,500,800,500,800,501,501,501,582,282,649,800,89,16,503,503,649,649,589,649,649,998,282,501,282,501,500,500,501,510,800,502,320,282,500,502,649,649,501,800,502,282,500,501,800,502,503,501,502,503,366,502,501,501,282,803,800,907,800,649,502,800,500,206,502,502,282,282,800,800,649,501,800,501,800,751,800,501,103,649,282,502,502,114,649,502,800,502,16,800,500,282,500,500,649,649,16,504,502,442,503,501,16,800,502,500,69,800,649,800,800,504,503,502,501,503,502,502,501,501,501,252,503,502,649,282,649,701,503,649,267,937,502,501,16,501,640,502,502,502,649,790,800,502,501,501,503,503,16,500,282,102,800,282,500,649,540,503,503,503,713,503,503,503,16,649,500,501,591,649,500,103,503,504,838,501,800,502,800,649,502,503,576,503,503,254,502,16,503,800,503,282,649,649,500,501,800,502,649,501,504,649,502,649,649,500,800,800,502,800,500,649,503,501,678,157,282,504,501,632,501,502,140,282,141,503,649,501,503,500,500,500,800,649,502,500,503,649,649,195,649,501,501,500,502,800,694,503,500,649,800,649,502,503,503,503,649,800,500,800,649,282,800,649,501,501,501,502,800,502,503,649,502,500,547,500,503,800,800,219,503,503,282,500,502,503,940,501,503,501,502,649,694,800,800,824,282,649,503,501,649,217,16,800,649,503,502,649,503,500,800,500,282,502,503,501,800,800,282,649,502,502,502,649,501,500,504,649,501,282,501,503,158,501,501,282,800,502,502,503,800,649,501,500,500,500,649,822,500,957,500,501,800,16,649,503,649,503,501,649,800,502,649,649,500,107,503,501,649,502,649,277,782,503,501,500,501,649,649,649,282,800,503,503,503,502,649,503,266,500,503,16,800,282,992,503,237,263,503,649,503,503,649,800,502,500,800,500,502,502,800,500,800,659,503,501,282,501,503,568,501,502,501,501,800,501,16,272,800,649,500,449,501,502,800,500,502,504,503,500,502,501,502,649,502,649,503,502,503,649,800,16,503,649,16,529,649,502,800,503,800,502,501,800,16,569,501,107,503,503,501,649,503,800,503,119,502,800,170,502,282,503,502,62,649,502,503,16,503,500,503,649,500,501,649,800,800,800,564,500,502,503,439,504,503,649,501,282,649,800,649,551,501,503,500,735,810,649,649,501,282,649,126,501,501,103,800,282,503,502,184,503,503,997,131,500,502,501,503,500,800,502,600,800,503,502,649,649,800,282,800,649,800,649,800,649,501,240,103,282,502,282,503,934,500,800,500,502,282,500,502,500,501,503,649,751,500,503,800,503,502,800,670,649,500,503,649,502,502,282,501,503,500,502,500,501,282,663,800,649,500,501,800,502,800,800,501,282,209,282,500,649,501,502,800,649,995,502,503,501,501,800,503,502,503,500,649,800,58,729,501,649,502,103,282,502,502,385,502,500,649,800,16,501,501,503,500,502,501,500,500,500,501,500,503,800,503,501,814,500,502,501,502,500,500,501,943,899,16,649,503,503,500,502,282,649,502,502,16,16,502,502,282,503,800,501,163,169,282,800,501,649,649,959,649,649,503,500,502,800,501,282,282,500,503,16,649,800,502,16,502,282,501,503,502,500,503,326,800,861,513,503,649,649,503,503,501,503,501,697,502,800,649,500,589,503,282,503,16,108,503,649,503,800,800,500,282,503,500,649,420,500,502,800,501,500,501,502,503,649,503,500,649,703,501,800,649,211,500,501,504,500,501,649,500,501,282,501,103,502,649,649,500,502,501,282,282,503,282,502,649,649,800,500,500,500,503,649,800,705,649,501,503,501,649,500,501,502,800,800,502,500,501,649,800,287,503,667,823,746,501,500,282,649,16,502,502,649,649,198,504,501,796,503,501,649,501,503,503,649,503,596,800,501,503,504,800,147,800,500,16,16,650,649,894,649,282,500,282,89,501,503,928,503,16,842,503,501,500,649,502,502,502,879,501,500,501,501,502,63,503,977,800,800,872,501,103,503,503,503,282,503,282,500,501,735,503,800,458,284,649,501,649,503,500,946,500,649,501,800,649,800,502,282,501,448,800,649,282,504,502,502,608,338,649,649,504,501,351,504,501,599,500,324,107,501,649,570,649,37,500,503,649,501,800,501,649,339,503,649,503,502,282,800,503,503,860,501,800,649,500,800,809,10,503,503,500,502,500,800,500,649,503,502,501,649,500,501,21,800,503,501,502,800,503,503,649,440,282,649,915,282,503,502,503,649,500,282,649,500,503,649,501,800,649,501,503,514,957,705,503,368,608,501,503,649,501,649,965,500,800,502,16,508,502,649,502,649,16,729,502,800,503,800,503,649,649,502,107,503,630,500,800,501,800,781,502,800,500,649,268,502,503,502,649,649,502,649,500,761,800,500,649,282,800,503,504,305,502,501,503,502,282,501,501,500,604,503,649,502,649,500,670,502,500,501,282,649,501,500,500,502,330,502,800,501,503,502,500,282,16,166,500,502,100,649,501,503,649,110,649,800,649,501,504,444,649,649,107,649,501,649,649,500,282,16,503,800,16,282,282,502,500,282,500,500,501,502,649,282,500,282,649,649,503,502,504,502,502,282,502,107,649,501,502,501,282,503,500,500,649,501,500,503,503,682,240,503,503,502,282,500,501,502,502,504,501,916,649,503,504,560,800,500,501,503,649,504,501,500,649,282,649,800,282,800,649,500,503,503,500,373,282,503,461,800,692,107,614,502,501,502,500,502,301,501,800,501,282,500,502,503,500,503,501,282,649,866,502,16,500,503,502,282,800,649,715,702,502,649,282,282,501,800,800,800,649,500,649,503,503,48,501,500,503,649,800,502,800,503,501,151,501,649,649,16,502,501,503,649,500,501,502,501,649,501,501,503,500,205,800,800,503,503,649,649,800,800,800,500,500,282,501,500,501,800,501,503,503,800,282,503,502,102,501,800,502,500,503,501,800,649,500,503,649,500,501,502,649,186,502,503,500,501,800,503,100,502,500,649,500,602,503,503,649,503,503,502,503,501,500,282,502,503,503,503,502,180,800,649,500,503,800,501,502,500,649,502,501,282,502,649,800,649,800,191,500,501,17,502,649,503,500,16,16,752,500,502,502,58,811,500,504,502,500,333,502,501,988,500,649,870,501,500,649,501,649,502,500,503,503,504,502,503,500,503,503,503,500,16,503,16,16,503,703,500,288,502,282,988,503,503,649,501,503,282,649,282,649,16,649,503,649,503,503,377,503,67,503,800,800,503,503,649,282,571,282,282,800,501,327,282,502,800,503,649,503,150,800,502,16,500,502,800,800,502,649,16,649,501,800,282,501,800,649,282,800,800,502,503,649,500,500,501,800,500,500,649,500,721,501,502,503,800,500,500,500,503,649,649,649,501,500,800,800,501,649,500,503,503,502,656,500,501,501,800,630,282,501,500,501,107,107,800,282,503,649,502,649,501,649,282,503,504,503,800,800,130,502,504,649,649,502,800,282,800,502,502,800,282,502,649,503,500,649,282,282,503,500,500,500,801,502,282,16,282,501,800,649,502,369,800,500,800,800,502,282,282,800,649,1000,649,503,800,800,500,500,502,649,800,502,800,800,649,500,282,503,502,502,649,500,800,800,264,500,500,501,500,501,500,502,649,501,503,800,503,649,301,503,697,504,502,282,141,501,500,800,800,500,844,501,800,501,282,649,800,500,800,503,16,103,298,501,649,502,500,800,649,800,16,501,831,502,500,800,501,800,282,649,649,501,800,282,649,649,500,503,800,500,800,503,500,502,649,502,800,503,501,501,227,500,716,503,649,503,800,162,649,16,501,502,502,503,501,282,503,649,503,500,501,16,502,282,500,637,501,649,500,502,500,189,975,230,8,502,502,800,649,124,503,501,503,500,500,503,649,178,502,501,503,474,16,649,317,500,649,503,502,503,538,43,624,503,503,649,282,502,502,16,248,501,800,800,503,503,250,500,500,684,500,86,16,501,222,503,501,871,503,501,868,501,503,649,503,686,501,282,800,322,649,502,649,800,500,501,800,16,503,500,502,800,282,727,501,501,475,282,800,502,504,502,800,501,500,502,649,800,500,500,649,649,103,700,800,502,503,501,649,503,503,501,800,503,376,800,649,282,503,800,933,501,500,282,800,513,502,503,79,501,649,501,800,800,980,500,649,800,504,986,957,501,500,503,501,800,447,649,649,503,503,503,282,408,649,500,503,501,500,800,502,737,501,16,800,501,501,800,649,705,800,801,504,502,800,800,649,500,501,500,503,649,503,502,502,282,282,502,800,800,503,501,649,61,500,503,649,501,649,649,16,502,442,500,649,364,501,433,649,649,501,649,649,66,976,282,800,649,800,502,931,800,282,500,800,649,501,649,282,39,501,500,800,501,503,501,800,800,500,502,800,800,503,501,501,282,743,800,282,503,649,692,282,831,282,93,501,500,503,500,298,85,500,16,282,501,502,282,503,503,282,649,503,502,16,936,501,501,649,503,503,503,800,797,807,501,282,800,503,282,502,503,502,501,649,282,502,501,502,502,649,500,502,649,649,502,800,500,107,282,649,502,800,503,282,800,800,649,503,896,501,16,619,503,504,500,503,500,500,16,502,502,502,502,649,16,800,649,455,649,500,800,503,500,356,772,649,503,502,635,800,282,501,800,501,800,800,800,282,800,649,500,282,502,501,501,501,500,500,500,649,800,282,501,503,503,503,800,501,501,503,501,8,502,649,154,766,502,800,503,500,500,502,282,503,503,502,502,502,501,501,503,500,503,800,800,501,800,800,649,282,94,502,503,501,800,649,105,282,649,501,501,504,282,501,502,501,107,502,16,800,502,502,502,788,502,16,501,500,649,282,503,503,500,501,697,502,237,18,649,502,353,282,16,503,800,884,500,503,649,649,503,502,500,800,503,649,503,502,800,649,543,503,502,501,501,502,502,500,500,501,501,649,502,691,830,800,649,649,504,800,501,500,559,649,800,503,501,800,282,800,649,500,503,800,638,800,502,502,225,500,502,367,282,649,649,504,500,800,501,203,649,502,649,502,800,501,649,502,502,503,502,500,503,649,52,501,800,502,282,46,500,282,941,800,501,501,501,501,638,800,501,16,502,504,501,501,649,502,649,503,648,220,661,800,800,800,649,503,649,610,502,500,649,800,128,800,457,649,503,282,165,502,503,926,649,501,649,800,800,502,16,501,649,500,500,502,503,649,313,596,503,16,262,503,501,649,800,503,16,800,800,503,502,21,504,649,500,964,800,500,282,500,503,282,501,282,282,649,501,800,503,500,282,502,500,502,282,500,503,868,649,649,500,502,502,500,800,649,504,501,500,649,684,800,502,502,649,500,720,502,800,282,649,16,800,107,800,502,107,501,501,673,649,965,503,500,501,649,16,956,503,914,649,649,502,502,503,649,800,649,16,503,502,107,800,504,502,502,500,488,282,800,649,165,615,502,503,800,504,649,282,500,501,503,57,500,800,678,800,503,649,501,500,502,800,649,502,860,800,800,501,750,800,503,500,16,649,16,503,301,800,501,649,800,800,649,649,649,500,501,500,807,502,508,501,800,800,282,500,500,501,282,649,800,800,501,502,649,500,502,501,964,282,282,570,502,502,282,107,504,503,503,503,23,649,500,502,800,501,502,502,282,503,800,500,500,501,800,501,252,282,503,503,16,800,501,140,649,842,503,503,502,501,749,502,502,103,502,103,501,800,16,502,649,503,501,502,649,500,503,921,502,500,500,324,501,282,16,95,502,503,800,837,500,500,501,668,502,774,501,503,501,503,282,503,502,398,502,503,500,502,649,504,501,501,500,800,282,649,800,500,366,282,282,282,649,649,502,649,501,282,107,416,16,470,502,649,503,263,501,503,503,359,800,503,800,503,282,501,16,501,502,501,282,500,234,649,500,800,500,500,649,707,501,501,649,502,500,503,265,800,503,502,649,649,499,649,503,502,500,649,103,800,503,282,503,800,500,800,800,503,649,503,649,649,504,649,501,502,353,282,649,670,800,504,502,800,649,282,800,800,800,100,503,502,503,501,502,282,503,501,500,502,16,800,282,800,502,649,503,16,282,649,502,502,282,503,282,800,211,649,504,502,800,649,501,800,500,800,502,501,502,748,649,800,501,502,800,500,500,801,504,504,649,503,800,500,873,649,502,501,500,111,16,649,782,16,800,819,503,282,500,503,800,501,800,284,504,609,503,282,502,649,502,500,649,16,502,453,800,503,500,487,503,502,806,500,501,502,502,649,503,500,83,503,649,800,649,795,500,503,800,501,16,282,441,502,800,649,649,503,282,975,282,107,649,502,501,502,502,867,500,800,395,501,685,503,816,503,887,649,103,503,800,500,800,165,501,500,500,502,502,800,501,800,500,649,128,800,501,282,649,503,282,282,502,107,501,800,649,500,500,500,649,649,800,649,649,800,556,147,502,503,16,800,531,282,649,649,503,649,282,16,502,282,501,500,353,649,503,649,213,501,503,500,16,503,922,501,503,103,16,649,531,33,501,501,500,282,649,16,501,503,649,502,502,501,502,800,501,500,800,282,503,107,503,168,649,500,502,500,649,314,800,500,504,503,501,503,800,501,503,501,649,500,800,501,742,800,500,800,500,501,503,501,501,500,800,501,502,501,501,500,502,502,649,502,500,501,501,502,503,500,500,649,500,502,503,800,503,800,500,502,649,502,503,107,965,282,503,501,800,800,282,769,166,649,501,502,502,282,800,282,521,500,500,502,502,501,500,107,500,282,503,740,500,800,800,503,500,16,800,501,939,649,504,800,500,649,501,501,502,282,649,503,800,649,800,501,501,328,371,503,493,501,503,282,649,503,501,800,649,504,188,649,502,502,500,649,169,502,226,649,800,800,500,800,800,501,282,649,649,501,502,800,501,503,501,587,800,503,500,282,503,500,800,282,649,503,800,502,282,282,500,800,503,501,649,500,800,503,501,649,501,503,501,800,282,502,500,501,649,503,503,107,500,502,503,500,500,649,485,800,503,501,800,103,16,501,501,649,502,16,504,504,16,501,501,282,503,503,500,504,978,500,504,500,649,503,282,503,500,800,800,501,800,936,97,501,800,649,503,502,503,800,502,16,501,67,503,107,282,16,501,851,649,503,500,501,282,502,16,501,503,503,503,500,502,16,649,500,503,800,501,502,649,649,502,503,800,501,16,503,819,500,649,503,800,502,501,421,502,502,649,800,500,649,502,503,500,502,649,501,649,502,503,722,479,503,12,442,800,800,503,649,16,502,16,649,501,502,502,500,501,649,500,282,282,800,500,502,503,501,581,490,92,500,500,500,800,16,649,500,800,503,501,824,726,68,500,501,500,649,800,500,503,99,800,800,502,500,455,53,649,502,500,500,501,501,320,501,500,500,649,500,502,282,649,503,381,800,501,501,651,501,282,800,502,800,502,503,71,282,282,340,800,500,500,16,502,856,649,500,800,282,500,504,800,454,501,502,502,430,500,282,282,503,282,800,502,503,501,649,282,16,503,504,282,501,209,502,502,282,502,501,800,649,500,800,282,16,500,649,649,503,16,500,636,465,800,502,502,24,503,800,419,503,649,502,504,500,649,649,649,500,282,502,502,800,503,503,800,649,303,800,500,923,16,500,800,282,501,16,741,500,16,800,30,503,502,501,502,16,555,503,667,649,500,898,504,500,649,503,705,503,766,502,502,503,486,282,503,282,501,503,500,500,503,267,501,782,649,500,503,16,501,800,282,500,649,800,502,502,649,649,649,503,800,800,282,502,649,500,502,649,649,502,502,501,800,503,502,500,500,502,500,800,502,503,649,502,500,504,337,500,649,503,700,649,705,282,501,107,504,649,649,502,800,503,994,502,500,503,800,501,649,163,502,649,649,502,649,282,282,501,500,649,502,800,649,500,503,503,503,503,500,800,282,500,503,501,500,107,501,500,800,282,800,500,503,649,503,503,503,649,502,502,500,282,800,501,503,16,649,500,503,512,347,846,501,649,501,502,503,800,500,500,107,502,500,503,500,649,502,501,503,501,501,551,649,252,103,649,501,501,107,977,493,800,285,649,482,621,282,649,500,282,16,800,503,503,649,500,705,800,502,282,649,502,502,501,502,504,800,503,502,939,502,502,502,501,649,649,500,500,501,800,500,282,502,501,500,800,500,503,800,502,107,504,503,501,282,504,502,502,705,503,485,800,649,501,490,16,503,501,500,503,800,282,500,626,503,501,502,649,503,500,649,500,503,502,503,800,501,500,800,503,282,693,500,501,501,501,25,800,649,502,800,936,800,500,503,16,649,500,503,501,501,413,502,800,282,800,502,502,95,825,282,282,502,800,500,16,247,500,282,649,649,800,649,814,649,649,500,502,502,501,282,503,503,501,502,503,500,649,503,649,503,463,500,16,501,501,800,649,500,735,503,504,503,860,500,16,500,238,503,282,800,649,503,502,503,503,961,18,649,649,125,195,503,649,800,800,16,649,471,502,500,649,503,503,502,649,649,500,502,502,501,423,800,503,503,800,504,800,501,649,571,649,501,649,503,501,502,649,282,501,800,162,649,501,502,501,282,107,503,649,649,501,282,503,800,501,282,502,649,282,107,502,501,501,552,500,649,500,107,649,503,502,16,503,502,502,501,502,649,282,16,501,502,501,223,16,142,649,500,500,503,282,501,16,503,500,649,503,644,705,282,649,649,501,282,800,800,501,383,501,800,500,500,502,800,800,500,502,103,828,503,504,502,649,282,649,501,502,800,504,385,16,500,503,502,503,800,500,503,500,501,282,649,800,107,282,501,502,502,502,502,501,503,800,800,503,282,503,282,503,800,500,500,503,501,503,500,503,120,501,501,282,500,503,500,500,502,501,800,503,476,444,502,800,649,500,649,800,800,503,501,503,800,800,500,500,694,500,503,705,800,268,188,649,501,500,503,504,501,649,501,501,503,501,500,103,500,502,500,500,800,282,502,503,500,103,503,16,501,500,503,502,503,502,503,649,649,380,501,800,502,500,501,649,501,501,502,16,649,649,282,282,649,502,649,502,500,500,800,501,501,501,282,504,502,282,260,800,500,209,800,501,501,800,649,502,649,649,946,502,16,800,502,501,282,73,500,503,800,881,282,502,649,501,649,501,649,649,800,107,501,800,501,500,500,261,502,503,649,649,800,500,500,500,501,501,500,501,225,500,500,503,500,29,926,503,134,800,502,16,503,502,501,507,500,503,800,500,57,16,16,503,841,501,503,502,502,501,282,502,800,502,503,501,500,500,889,649,16,649,501,503,968,649,500,503,800,503,500,800,501,800,649,502,649,500,502,500,502,248,503,649,503,501,500,649,705,282,641,967,103,502,503,800,768,501,500,649,504,503,502,16,649,503,830,503,504,501,282,501,502,501,502,282,649,865,503,504,16,649,800,800,500,501,800,500,501,122,800,282,649,500,500,649,424,649,504,800,103,500,503,500,649,282,501,501,152,504,282,503,501,282,16,502,500,502,282,800,501,502,501,503,800,472,503,500,800,500,649,503,502,85,501,282,502,503,503,282,437,502,501,503,501,199,501,500,502,794,501,800,649,282,649,800,282,649,800,501,500,984,503,649,16,800,501,662,649,502,282,502,501,724,107,500,502,501,503,107,649,502,800,800,358,709,500,281,501,282,74,16,800,500,16,504,686,500,800,502,295,503,503,649,503,800,555,500,282,501,649,503,282,800,504,133,501,649,503,503,16,649,282,800,502,195,503,649,503,502,985,649,800,905,502,500,502,282,800,503,282,282,501,503,282,500,501,500,500,503,16,282,502,272,501,501,488,500,503,501,503,800,502,16,502,282,502,800,800,649,177,501,502,503,786,501,503,503,500,502,103,649,649,548,649,649,410,503,503,744,800,871,800,649,503,649,800,800,649,16,649,649,501,821,988,503,800,501,649,505,504,405,867,502,16,282,649,282,649,500,800,502,503,800,779,54,502,500,29,500,45,502,503,800,502,400,157,282,501,649,502,707,502,800,800,503,502,501,503,501,501,282,502,500,500,323,503,649,800,172,501,649,107,800,500,503,500,503,501,501,500,503,501,436,117,166,800,16,16,500,500,92,503,16,500,800,697,501,501,16,502,602,649,501,800,868,649,502,502,62,65,649,282,16,503,502,649,502,503,500,107,649,495,503,800,649,503,649,503,649,282,185,500,649,502,629,649,503,503,501,16,649,501,649,800,500,282,649,500,649,800,501,503,649,503,800,502,274,501,800,800,282,503,649,282,502,502,933,501,504,500,500,501,800,649,649,16,501,502,16,502,800,800,503,898,649,503,649,503,16,503,170,502,444,282,500,800,645,800,504,972,282,16,503,282,503,501,649,649,503,282,649,649,649,282,536,649,643,501,152,282,503,503,649,122,503,503,466,503,16,282,502,649,823,800,503,500,500,674,500,501,649,593,432,990,503,503,500,649,501,282,103,501,800,503,282,649,649,503,500,502,502,7,649,282,504,800,365,500,800,501,503,502,800,501,800,503,282,649,16,503,503,501,500,649,649,800,649,503,503,500,502,282,502,282,500,649,649,649,800,649,103,503,163,107,649,501,501,500,800,807,500,800,501,500,500,500,649,649,503,282,501,503,503,536,556,502,649,282,282,503,501,501,649,500,853,800,700,800,502,504,502,800,501,326,501,501,502,502,503,807,501,800,649,22,503,808,775,157,974,503,501,502,153,500,503,282,501,503,448,500,503,500,277,649,503,503,101,502,649,187,864,800,500,503,503,649,502,502,503,649,16,500,500,872,800,501,500,649,502,503,649,116,500,807,502,501,800,282,500,282,649,502,501,27,282,649,501,77,503,934,800,501,503,44,549,370,282,649,649,16,800,501,501,282,800,800,503,500,500,501,649,649,103,500,800,502,380,502,500,649,501,502,500,649,501,501,502,16,501,16,502,502,501,30,649,59,649,502,500,599,649,500,503,649,524,649,500,800,649,501,500,649,649,16,800,500,649,603,500,595,282,800,500,501,282,501,502,500,500,649,500,800,503,502,16,649,649,500,16,800,16,625,500,800,501,800,510,560,800,800,800,925,501,501,503,500,649,831,282,107,503,800,282,503,902,500,800,649,800,500,503,503,649,16,502,649,13,502,503,502,800,800,500,502,282,503,501,502,649,503,800,351,150,502,649,904,502,800,649,800,500,501,502,649,282,800,284,800,503,282,501,800,501,502,502,282,649,504,800,394,501,453,501,501,826,929,800,503,502,503,503,500,282,581,503,500,282,502,649,125,501,500,649,500,502,500,500,502,282,503,649,502,800,500,500,800,591,7,501,649,800,501,800,501,282,503,26,503,649,502,503,625,745,373,800,500,501,502,282,501,649,501,501,807,500,503,282,448,282,503,649,502,961,149,464,503,282,503,502,649,800,800,502,800,503,500,527,501,649,502,503,501,213,502,800,800,503,800,501,502,107,282,502,800,649,502,800,502,37,503,503,939,800,649,649,477,503,502,501,502,501,501,501,418,500,502,831,649,500,502,503,500,500,41,649,649,503,500,502,821,800,503,800,800,800,503,282,649,16,500,649,502,500,841,459,502,501,800,649,503,500,800,800,503,502,649,800,649,103,500,502,502,500,500,503,502,503,501,614,502,282,500,501,649,649,501,504,282,235,649,867,500,800,482,282,501,649,649,843,503,649,800,103,502,295,800,503,800,800,706,107,501,502,500,503,649,502,502,503,649,502,585,502,504,503,800,503,732,503,502,649,282,502,501,503,502,800,649,504,16,649,669,800,501,800,501,501,503,502,503,649,649,800,500,800,501,500,501,501,5,501,502,501,800,501,282,503,500,503,225,845,502,282,503,111,800,502,500,500,800,500,649,649,416,502,500,502,649,504,649,503,16,282,87,800,502,480,501,16,800,282,502,649,504,649,501,500,503,501,501,503,500,503,501,947,501,501,599,502,282,502,501,502,800,502,503,800,649,800,500,501,502,502,501,30,502,500,503,501,500,649,500,500,223,800,503,282,800,502,501,800,16,800,857,649,502,649,16,560,649,800,501,503,649,500,501,800,501,16,649,501,702,805,800,501,502,500,16,800,503,649,378,103,800,282,282,501,800,503,501,282,502,501,501,501,502,282,500,800,282,800,501,800,501,500,504,800,504,649,918,502,979,501,503,442,501,800,501,502,649,649,503,800,501,414,503,649,500,503,649,516,502,500,800,800,502,503,502,282,503,503,551,800,503,940,503,333,502,501,502,500,500,282,500,800,500,340,502,504,800,496,500,81,504,649,417,649,500,502,502,316,16,649,500,282,676,501,800,502,502,502,800,500,807,649,800,503,502,502,880,800,501,500,503,504,282,503,502,500,503,649,504,16,107,501,500,800,501,501,798,649,649,501,500,502,504,501,500,214,800,500,867,425,503,800,503,787,649,800,404,501,500,800,501,500,649,502,500,804,501,502,500,503,382,649,500,500,501,282,287,500,800,282,501,500,282,502,501,500,649,502,800,502,282,800,800,502,649,503,800,500,500,503,503,480,500,460,800,282,500,503,504,503,501,282,500,282,649,649,913,501,500,501,504,503,501,649,800,501,800,500,503,311,649,501,502,800,649,501,500,649,502,500,503,596,282,16,282,282,502,503,16,500,697,282,501,199,107,282,649,503,603,501,500,800,502,500,832,578,503,503,424,500,649,502,649,502,500,504,649,500,282,800,649,241,503,800,713,500,649,502,344,16,502,500,503,501,503,800,603,649,800,649,502,503,501,649,913,500,501,501,503,282,807,800,649,502,649,800,800,492,501,649,14,500,649,800,500,752,16,501,504,501,800,107,16,500,282,852,503,800,500,502,503,88,649,503,705,282,502,503,504,800,503,500,354,282,107,649,800,503,434,107,800,282,501,800,500,800,502,394,95,500,901,282,501,649,502,649,503,649,503,843,500,502,107,501,16,327,502,503,649,503,649,500,649,501,500,649,800,800,800,245,503,16,503,16,501,501,800,800,501,500,800,800,649,800,503,282,649,649,503,800,503,552,500,16,500,504,800,135,500,503,501,504,503,924,16,800,502,649,502,800,503,500,649,500,503,501,501,500,503,800,503,282,502,500,800,501,649,282,649,502,649,649,800,503,502,16,502,501,649,503,800,503,800,744,909,504,500,501,515,800,502,500,282,649,800,502,64,501,503,484,649,46,502,502,649,649,500,502,501,503,205,800,16,649,502,503,501,649,503,314,502,501,501,800,649,503,503,800,368,500,500,500,800,282,500,503,500,501,500,500,649,815,501,501,800,16,503,503,649,796,649,503,800,701,649,282,502,500,800,501,282,649,400,282,580,649,800,500,500,800,503,302,419,500,800,500,500,504,500,502,502,501,501,16,501,800,800,493,500,649,502,503,800,25,800,500,649,500,500,800,800,251,500,502,800,843,649,502,501,649,649,500,501,649,503,282,91,255,503,731,979,502,16,501,503,817,800,282,282,502,500,501,502,282,503,500,502,649,649,282,145,502,500,503,502,501,649,800,282,282,502,649,800,500,649,282,592,822,500,208,501,502,282,503,649,649,16,503,503,800,649,501,502,478,503,282,800,501,502,504,649,282,501,649,500,503,501,503,649,16,500,546,282,800,649,503,800,500,282,800,800,501,282,649,502,649,800,800,800,502,500,503,503,800,649,602,500,503,800,501,501,282,124,947,504,800,649,504,503,282,517,500,531,500,800,800,6,503,501,501,205,500,500,90,502,800,800,649,503,649,503,649,800,24,501,703,800,502,502,500,649,502,282,649,800,502,649,282,710,282,487,503,649,502,501,800,16,500,502,791,968,502,500,501,800,800,502,503,79,601,410,501,533,692,699,502,649,137,504,501,502,501,282,649,500,649,800,114,503,500,500,800,438,502,804,800,16,649,16,62,350,800,501,800,504,501,500,649,282,256,800,503,282,649,800,501,502,503,649,800,800,649,501,649,838,501,502,649,800,501,800,800,502,502,500,500,800,103,649,502,501,500,649,282,501,504,503,545,501,502,500,800,835,800,501,102,582,751,649,800,500,649,500,503,500,500,500,282,502,649,800,282,500,282,502,282,20,502,503,502,857,500,800,800,470,502,729,501,649,485,282,500,103,501,649,500,66,577,503,282,331,501,503,502,282,501,503,323,504,502,800,381,649,282,649,502,649,649,501,500,500,91,408,649,503,107,501,503,636,500,502,649,322,503,282,121,804,502,503,500,503,502,800,278,982,800,16,649,500,800,502,282,649,500,649,768,503,459,502,500,501,501,501,800,500,649,800,501,957,16,503,500,800,800,500,282,502,800,649,501,501,492,501,800,212,500,503,649,282,972,805,800,502,800,501,800,503,504,503,500,503,500,282,503,876,800,501,500,503,503,800,501,282,500,649,16,502,501,502,501,501,795,503,800,215,16,800,500,53,16,501,649,649,649,800,501,500,107,16,649,503,16,282,993,800,800,800,500,447,503,502,649,649,500,500,503,501,829,501,800,500,649,16,282,44,649,36,501,800,502,502,167,502,500,649,800,503,504,800,994,153,503,501,16,501,503,503,503,282,282,503,649,501,503,501,649,649,500,500,501,649,503,649,503,800,649,800,500,501,503,500,502,501,353,504,649,782,649,501,103,502,775,16,118,500,649,503,500,503,501,502,800,503,282,282,112,790,800,501,800,501,800,282,282,282,538,649,16,500,800,500,649,501,282,649,503,282,502,502,502,503,503,800,260,405,502,649,115,282,649,649,649,649,500,282,502,282,649,503,107,649,593,500,800,649,649,501,503,503,800,107,500,649,649,649,501,649,107,800,649,649,649,276,502,282,800,800,800,800,500,800,503,503,42,283,503,502,800,649,502,501,282,800,800,282,502,500,800,282,800,649,800,282,800,649,500,947,500,502,984,800,800,800,215,282,501,500,501,502,502,800,503,689,800,500,649,502,800,502,503,800,800,501,503,503,503,503,800,800,501,326,800,800,503,502,987,502,500,500,800,649,502,502,502,501,649,501,500,500,649,800,903,500,649,503,503,16,649,800,652,282,651,503,364,503,649,500,500,649,800,502,503,282,503,502,502,848,649,503,501,800,649,649,502,649,16,500,503,503,503,501,502,649,503,503,503,800,503,965,800,502,282,500,649,502,501,500,233,501,282,800,649,501,501,502,282,502,800,649,503,678,649,800,800,15,920,107,501,500,800,504,282,500,500,503,502,501,800,500,649,502,501,503,500,500,419,811,504,282,800,503,501,500,501,503,500,800,800,502,800,646,503,500,500,502,501,282,503,282,649,500,502,500,502,502,501,501,501,649,193,500,649,384,504,867,800,800,282,4,67,282,649,500,282,649,45,800,503,282,501,501,232,501,500,958,503,501,649,501,500,800,502,503,500,502,800,502,536,282,800,282,500,502,552,502,501,502,502,107,800,503,500,800,500,649,649,800,500,500,502,800,500,501,500,502,501,800,503,800,282,800,695,502,282,649,649,800,16,503,500,649,326,16,800,500,649,502,649,503,800,649,502,604,501,16,649,16,500,800,282,649,502,501,502,16,504,501,500,649,501,16,501,501,800,501,501,503,649,800,502,800,501,649,681,502,16,503,503,503,649,503,361,649,649,649,503,649,503,800,649,501,649,649,16,373,501,502,500,501,649,501,705,649,501,649,16,800,503,500,800,503,501,502,800,517,171,649,502,649,503,502,502,500,500,504,502,501,107,501,501,649,800,800,800,107,800,500,649,500,649,649,649,501,800,501,649,800,800,500,282,649,501,119,500,501,503,97,12,735,500,282,800,502,500,800,649,800,800,502,16,16,282,502,501,800,800,501,649,504,501,103,501,950,501,649,800,503,649,503,282,16,501,649,110,510,502,649,503,500,282,16,282,502,782,504,502,800,502,502,502,502,503,800,800,649,500,705,800,649,500,649,503,16,503,502,57,649,501,649,502,502,19,501,800,503,800,696,503,502,500,282,282,502,649,800,16,504,611,295,501,501,502,800,282,282,649,501,500,503,504,503,502,282,253,501,282,16,501,503,500,503,502,503,649,501,800,133,574,500,800,800,501,107,500,500,800,659,800,800,800,282,502,16,800,800,649,502,282,282,649,501,800,800,503,325,502,500,800,107,282,503,502,501,503,649,502,649,833,800,982,649,501,500,16,503,352,503,649,501,502,122,501,502,502,503,502,220,103,502,500,501,504,282,503,501,503,649,800,649,649,502,503,282,282,649,16,500,282,800,800,800,425,502,800,282,800,800,502,502,649,500,282,501,501,503,649,800,503,501,800,800,649,649,649,500,282,800,800,502,502,503,282,500,501,649,800,503,649,502,107,800,800,503,768,282,500,503,502,649,503,503,631,502,649,16,500,800,501,282,282,500,503,800,502,502,500,649,500,501,258,800,282,282,800,502,159,649,500,502,502,72,800,649,501,800,282,504,500,800,502,502,16,800,806,502,800,502,501,107,500,503,502,501,282,504,554,503,649,501,501,503,501,504,503,800,993,502,649,800,800,501,503,588,807,16,500,649,800,558,649,501,2,502,16,282,504,502,502,501,501,502,501,503,502,502,501,420,501,16,800,16,853,501,800,503,503,800,503,503,500,819,503,649,501,649,282,800,501,502,502,207,649,501,501,500,500,125,800,500,501,800,800,502,501,501,16,502,504,503,501,504,16,649,500,501,503,500,503,500,282,523,503,503,611,500,501,649,503,500,800,501,649,78,503,282,282,503,501,260,649,667,502,649,282,502,282,500,503,282,58,883,649,501,563,649,282,500,502,119,402,500,800,501,501,500,500,388,649,154,282,649,500,502,501,503,503,502,649,502,16,903,502,501,500,500,503,649,385,432,715,800,800,800,502,503,503,500,501,649,6,503,550,501,503,502,503,218,503,282,305,649,649,504,501,503,503,501,800,800,501,502,800,282,282,800,502,168,649,500,502,800,503,502,502,502,800,800,800,257,503,503,282,649,502,800,503,501,800,500,800,500,501,503,800,436,501,500,501,800,677,282,649,501,800,800,502,800,503,502,502,649,502,649,709,282,500,502,493,502,114,501,800,504,501,800,502,500,485,501,502,502,500,502,502,282,500,800,800,188,501,502,649,237,649,500,25,800,503,504,16,503,963,649,502,282,502,501,502,705,649,501,649,107,800,501,649,501,501,800,16,500,649,501,500,64,649,500,501,500,282,800,502,502,107,282,501,800,649,282,504,500,502,668,282,922,800,501,649,649,892,327,502,502,500,118,800,503,800,649,502,501,649,501,282,649,649,649,501,561,500,503,649,501,800,500,16,649,282,705,503,502,502,282,800,500,649,649,649,502,502,800,503,503,282,800,500,16,503,500,502,522,282,800,800,649,649,501,504,503,16,282,500,649,649,107,500,282,502,800,278,501,503,16,264,282,649,514,232,500,800,979,282,501,649,649,800,501,649,800,500,501,800,500,502,502,503,656,501,282,502,504,501,549,501,16,500,649,503,649,503,282,828,800,501,502,500,16,800,553,502,649,502,649,501,16,501,503,16,356,502,501,503,502,281,502,500,649,649,501,500,501,502,800,800,500,500,504,501,502,800,500,500,856,503,649,282,649,282,800,446,502,500,500,800,282,320,500,503,503,800,500,502,501,501,461,282,58,501,502,502,800,833,649,501,503,453,203,800,762,500,500,501,649,501,649,500,649,501,503,649,649,649,502,282,570,501,282,103,502,800,502,504,800,500,501,502,649,282,800,469,16,503,282,501,282,500,503,649,502,85,649,500,500,502,503,502,501,800,504,891,503,500,800,502,800,502,649,502,649,501,282,895,192,800,501,502,503,501,107,500,800,504,900,800,107,500,282,9,503,502,800,201,502,800,502,501,649,282,502,649,502,649,659,501,500,500,282,282,800,649,503,649,800,282,502,502,501,502,363,502,800,501,649,502,503,649,503,145,501,800,16,500,501,16,800,503,503,503,16,502,771,502,502,501,800,500,500,649,501,500,501,16,120,649,649,649,503,501,503,504,503,649,503,649,593,16,16,503,503,501,282,503,16,800,503,16,502,500,649,926,501,503,100,16,503,555,800,500,500,800,502,500,501,502,500,800,504,501,501,501,649,282,140,16,617,282,503,501,500,800,282,510,649,649,501,649,502,649,500,502,649,502,503,132,501,393,800,649,501,16,503,282,502,501,501,800,503,502,503,501,500,16,809,500,800,800,63,282,282,502,734,16,502,649,503,502,942,800,800,501,103,649,502,500,800,944,503,282,503,502,16,800,800,675,503,800,103,800,501,649,800,459,740,282,203,501,502,649,103,800,502,500,501,502,710,503,800,503,504,649,395,282,500,16,501,649,502,918,501,501,503,503,649,800,800,551,504,500,502,800,502,503,297,16,502,800,500,500,501,501,389,800,503,503,500,502,503,800,502,282,503,500,503,504,800,649,16,544,504,503,503,16,501,502,649,800,501,503,501,649,501,800,500,800,282,800,383,501,800,501,649,503,504,503,502,501,503,457,282,500,282,503,649,502,800,16,501,502,503,830,501,502,800,649,501,501,800,282,503,503,368,649,500,502,501,649,500,753,800,282,738,501,503,503,504,649,282,313,800,800,778,800,800,501,800,500,500,502,282,282,501,503,860,649,501,282,107,503,16,501,503,697,88,502,501,800,502,800,887,500,649,253,500,16,649,282,501,800,649,282,649,501,500,282,752,500,176,503,453,501,500,800,503,800,504,800,741,649,503,649,16,800,502,649,502,502,501,503,649,16,502,500,800,502,500,503,649,502,502,800,501,16,501,502,800,503,107,503,503,800,502,282,800,199,282,431,501,527,501,282,500,501,282,649,501,500,503,502,500,500,503,503,800,502,502,649,501,502,500,501,22,800,800,501,501,503,649,723,649,502,16,282,649,627,282,502,501,501,282,501,501,157,649,501,138,502,282,500,16,501,502,502,649,503,808,47,107,800,503,502,874,899,501,415,800,282,282,282,16,282,778,298,503,952,500,800,800,649,503,726,386,345,649,503,16,649,282,501,503,96,501,800,649,503,503,503,649,500,649,500,800,501,23,282,9,649,16,649,800,500,16,482,502,707,282,500,282,501,800,800,503,282,800,800,957,503,895,649,503,503,503,649,540,800,800,501,800,324,16,502,501,500,501,504,393,800,503,500,503,502,282,500,650,502,999,501,16,500,503,707,258,16,502,502,500,649,282,16,502,649,938,503,649,177,640,649,500,284,649,503,800,143,3,649,649,282,16,501,649,502,800,500,503,938,649,649,503,500,649,649,503,649,501,501,649,800,649,503,803,649,503,649,503,282,502,500,693,500,649,502,503,503,649,800,649,503,155,198,503,500,503,16,503,501,504,502,500,500,649,73,501,502,16,253,16,649,282,502,501,500,500,16,800,503,502,106,502,16,800,800,716,201,800,800,992,502,501,649,503,502,649,800,649,503,800,501,503,800,800,500,500,501,501,501,585,16,103,500,503,649,503,503,16,502,503,501,501,502,501,503,649,500,469,500,282,930,649,504,282,500,800,504,500,502,501,800,603,500,501,503,282,649,800,800,500,800,502,800,503,503,501,649,500,503,501,501,503,501,501,501,500,286,348,503,502,800,500,282,503,800,503,800,697,649,502,501,16,649,502,501,800,103,363,501,800,803,503,500,503,800,16,501,501,480,649,649,500,455,16,800,376,649,503,500,98,502,800,503,502,649,502,501,502,502,834,502,502,500,502,282,36,501,800,103,584,502,503,800,503,502,501,649,503,649,501,800,500,800,990,502,649,503,103,282,503,800,504,16,501,501,501,502,875,503,649,800,800,800,501,800,501,503,502,503,800,502,649,282,500,501,503,501,649,500,501,800,500,503,282,800,503,500,800,649,282,501,502,500,501,503,649,500,502,501,16,512,500,501,502,501,503,503,502,503,65,259,500,572,501,248,502,588,503,500,503,705,503,501,103,501,649,503,502,649,503,500,16,502,500,599,502,800,503,800,500,503,500,500,282,503,649,574,500,649,800,649,501,330,502,929,800,649,282,649,304,282,501,800,649,282,649,649,503,106,503,800,16,293,503,107,800,502,649,501,501,500,501,501,501,800,502,501,503,503,502,502,500,502,501,704,501,503,282,502,706,501,649,504,800,504,144,578,716,501,282,649,501,501,500,500,502,649,502,501,500,500,503,500,107,184,501,282,404,800,828,800,503,500,501,501,800,649,493,649,501,800,241,649,800,500,503,213,500,501,649,502,502,137,666,500,800,502,49,649,501,649,500,649,499,223,501,225,800,649,501,649,500,500,649,500,500,503,598,503,800,649,800,649,800,501,501,502,649,500,500,800,138,329,504,282,649,800,800,135,107,502,501,503,56,800,501,649,282,501,800,501,800,649,16,500,501,649,500,282,166,800,501,500,345,502,501,501,500,800,800,503,47,282,649,800,894,16,503,500,800,501,800,500,501,503,705,500,282,282,122,649,503,500,501,269,503,562,500,800,800,503,649,503,800,501,502,649,16,502,502,649,649,282,501,501,649,800,503,295,501,282,503,502,504,195,502,500,501,800,392,500,500,503,500,501,231,500,501,503,649,502,800,162,503,502,500,500,504,503,649,500,501,649,501,500,504,800,649,983,649,765,800,282,800,649,502,800,649,16,107,502,800,282,649,500,501,728,503,500,500,500,501,800,501,282,500,500,500,501,649,692,500,503,502,16,800,649,800,502,599,503,97,503,500,705,502,649,503,282,302,502,800,800,503,16,751,501,800,502,649,502,282,500,649,800,502,502,503,994,800,500,502,501,500,16,457,495,800,501,501,502,800,800,501,135,500,500,800,649,503,503,503,800,800,503,800,501,800,288,502,501,800,16,800,649,800,503,500,16,649,502,16,800,800,502,503,259,500,503,847,800,785,649,500,419,649,502,800,500,800,86,503,649,501,501,527,500,649,800,277,501,558,500,800,800,649,500,16,502,800,649,282,502,503,16,800,63,604,504,800,502,649,649,649,204,502,800,800,504,501,502,649,282,800,502,501,649,800,282,503,800,364,500,649,685,800,800,412,502,503,800,282,282,282,649,282,502,500,503,502,282,800,800,649,649,401,649,649,338,500,933,502,503,800,501,501,485,503,502,649,500,800,504,800,282,576,800,500,663,501,501,649,501,800,295,107,107,503,501,649,501,800,384,500,716,501,501,16,649,504,800,954,901,503,800,800,501,503,502,502,502,500,501,649,649,503,500,503,500,500,503,800,649,324,800,503,501,503,503,800,800,504,16,800,501,503,503,282,649,800,500,502,504,501,644,649,649,649,649,800,503,500,282,501,500,649,800,501,753,500,649,649,501,503,800,282,339,854,649,503,502,501,500,503,500,585,502,649,501,721,501,649,503,503,501,503,800,16,503,649,649,800,649,500,282,103,649,800,501,800,649,649,800,501,503,800,800,800,649,501,809,501,502,503,502,983,502,800,502,483,800,800,800,649,503,502,16,501,649,282,611,504,282,282,649,500,501,500,649,649,500,501,504,503,501,282,500,334,282,722,503,500,649,282,502,649,501,800,282,107,502,501,800,630,800,957,501,503,502,649,501,649,500,503,503,500,501,501,501,645,253,449,649,282,500,500,800,875,107,503,211,503,649,500,501,503,503,649,500,502,800,282,503,501,502,501,649,800,500,501,648,380,503,502,282,501,649,548,502,501,168,501,500,282,800,197,928,502,464,500,649,2,503,800,800,800,620,503,800,800,502,502,107,501,502,503,800,508,500,501,502,16,501,500,649,500,282,502,503,502,502,800,649,500,502,800,503,502,649,502,222,502,157,502,502,800,107,649,503,800,501,649,501,502,502,500,282,750,503,282,649,504,503,282,115,504,503,649,502,504,649,59,800,800,502,616,649,800,500,501,503,501,500,501,502,500,500,502,282,257,800,501,500,502,902,800,500,500,502,501,282,869,649,649,742,800,909,112,269,503,800,502,500,282,503,815,503,503,282,282,649,500,282,501,390,501,800,501,282,504,649,500,503,351,500,503,841,502,800,503,800,594,800,158,800,353,501,503,501,503,500,502,502,649,500,500,502,503,503,501,314,282,649,649,501,800,500,382,649,503,501,811,503,239,500,800,503,503,800,561,500,502,364,692,649,500,501,503,501,502,649,649,242,500,501,502,484,501,501,501,501,103,503,501,6,800,502,927,503,649,502,649,503,207,501,501,500,800,500,502,503,503,649,500,189,282,501,16,16,502,503,800,503,824,16,500,856,503,504,649,649,800,503,501,502,502,282,503,800,282,282,500,800,504,719,649,282,504,501,501,500,500,503,800,503,503,502,800,502,504,501,280,502,502,800,502,800,502,800,500,16,649,246,807,503,501,800,500,649,649,501,687,118,16,504,502,773,282,500,503,503,502,503,503,500,68,283,282,503,502,77,503,500,503,381,649,649,705,800,800,502,649,448,564,800,649,800,501,649,282,282,649,503,573,502,500,649,800,502,503,124,282,649,502,282,503,282,500,800,16,502,502,649,502,649,296,19,199,503,649,502,500,503,465,500,471,501,501,502,107,649,282,503,502,501,502,502,16,800,800,503,282,501,649,500,503,500,800,502,161,500,527,501,649,649,500,502,501,649,649,503,800,502,649,501,500,800,649,501,500,500,230,649,16,800,501,503,503,503,649,503,500,500,933,718,800,282,282,16,503,500,752,869,501,503,500,503,426,16,322,502,501,503,815,345,501,503,251,649,501,16,282,503,649,502,800,501,503,649,503,988,590,500,649,649,800,501,500,282,502,16,282,502,800,501,503,500,500,282,503,800,626,503,649,705,329,649,502,502,697,556,649,502,800,501,800,502,800,500,503,501,500,800,501,502,500,649,504,501,502,501,16,649,502,500,503,649,649,800,500,501,502,503,156,503,503,503,678,649,503,503,500,16,501,872,649,502,501,502,503,800,502,649,500,16,503,503,800,800,681,503,154,502,800,502,500,282,649,282,962,500,500,501,500,113,16,502,168,503,500,511,503,502,501,282,649,504,179,501,501,501,22,649,800,282,503,502,649,649,107,800,502,500,502,800,282,282,503,503,503,501,611,649,800,503,800,501,503,800,282,501,16,501,500,19,500,503,504,501,503,501,649,503,16,983,500,649,558,501,800,649,800,503,649,500,503,865,800,800,282,501,800,107,502,649,624,800,501,348,502,764,800,501,800,282,502,187,649,800,502,800,500,503,649,282,503,504,107,501,500,282,800,502,282,649,501,800,800,817,501,107,504,800,500,282,847,503,502,501,504,649,199,501,501,649,16,993,500,500,16,649,185,282,502,503,800,500,502,504,649,800,508,500,210,503,502,800,649,502,503,503,501,994,107,282,649,859,800,800,500,800,503,800,502,800,800,503,800,720,598,800,501,501,502,649,16,649,503,800,503,502,649,649,800,800,501,501,649,503,502,705,800,282,649,503,845,501,502,392,502,502,792,800,501,983,504,502,649,503,282,501,501,804,500,502,282,659,503,282,502,502,103,501,800,503,77,503,282,649,250,501,457,800,500,502,500,649,502,503,16,357,500,800,504,649,282,732,503,503,604,221,649,501,649,649,282,502,500,503,500,500,649,257,501,501,800,800,503,649,649,282,504,649,501,16,503,282,800,800,800,500,282,649,502,501,501,714,649,800,500,663,649,503,502,501,43,282,282,649,411,502,649,649,63,500,649,16,834,484,16,65,649,501,501,673,219,503,282,868,115,500,649,450,800,649,501,180,500,800,178,504,501,330,500,705,500,501,502,502,649,503,649,503,502,503,502,282,503,500,649,649,501,346,16,502,500,982,800,503,500,503,800,800,501,500,45,503,800,502,503,16,501,800,502,500,107,972,649,649,800,282,501,282,502,500,500,649,800,501,501,502,502,500,47,649,649,500,502,501,904,502,649,502,503,800,414,502,542,501,800,800,501,649,903,649,282,500,649,800,649,756,649,800,500,502,16,649,500,649,500,501,635,800,800,800,649,22,959,800,942,145,503,649,501,175,800,501,800,500,649,500,503,433,282,504,282,503,800,107,502,282,894,649,800,800,501,503,500,649,501,267,502,649,502,27,501,69,503,501,503,500,502,502,502,800,282,649,503,800,996,649,800,100,282,800,649,362,654,649,282,484,649,503,16,365,503,503,131,800,821,502,504,500,502,501,800,800,800,282,502,282,649,800,800,649,503,282,503,634,82,502,503,501,800,501,501,502,501,500,649,16,282,941,503,501,502,500,502,282,649,502,107,800,649,800,503,503,282,800,502,503,501,501,500,501,800,501,282,800,714,265,502,282,501,500,501,143,800,282,500,939,203,282,503,282,500,800,502,16,800,16,502,282,502,649,16,502,800,501,590,500,500,800,500,649,716,503,501,500,502,503,501,503,800,30,501,500,502,503,500,501,503,649,800,501,941,501,502,649,502,649,500,350,504,500,502,649,649,800,501,503,800,649,501,800,649,500,649,500,502,500,501,800,502,501,500,789,502,615,892,649,800,277,282,502,800,503,501,500,649,504,500,649,800,282,501,800,502,501,502,500,16,926,800,504,503,501,633,800,649,92,501,783,649,649,649,190,16,501,500,502,800,503,282,282,502,501,649,282,649,501,800,649,800,800,800,503,500,283,502,800,500,800,574,503,503,500,501,649,16,503,502,501,500,649,503,503,649,501,503,800,604,503,500,504,800,800,500,800,800,502,123,649,502,502,955,502,16,89,500,800,800,649,800,16,649,503,800,500,649,503,508,800,588,800,649,501,501,501,500,500,501,501,649,503,800,500,501,502,800,500,502,503,503,501,282,502,500,502,502,501,500,800,500,503,16,313,503,649,503,500,649,503,503,63,500,800,501,800,501,649,649,503,500,436,500,502,501,503,503,282,649,503,800,800,282,500,501,500,800,649,800,649,500,282,421,502,649,500,501,649,502,519,501,503,501,107,502,649,500,800,16,543,503,501,800,976,502,500,800,504,649,502,800,800,800,282,502,800,502,800,500,266,501,800,503,503,649,500,800,500,501,500,649,503,649,649,282,282,502,503,800,501,282,103,503,502,502,649,282,388,800,501,502,880,502,501,649,500,621,649,503,649,960,282,282,169,503,282,282,503,966,504,503,649,501,800,16,800,502,502,500,503,800,282,16,649,501,503,501,500,503,502,503,502,107,16,501,800,500,800,501,757,500,800,503,649,649,500,502,887,502,800,107,502,800,649,501,503,503,503,501,118,501,501,503,107,503,649,504,649,501,501,800,649,649,501,649,503,800,503,503,502,188,649,790,501,501,29,800,500,500,502,500,500,282,500,503,501,282,800,503,800,649,503,503,501,649,459,503,503,800,503,503,503,800,635,431,503,502,500,107,800,501,502,727,501,503,504,355,649,139,502,203,501,282,503,651,502,800,502,501,502,501,500,502,502,500,800,649,501,800,501,502,502,500,800,501,649,800,800,502,502,500,800,501,649,504,649,503,10,501,503,501,282,502,503,282,800,502,503,501,800,502,649,649,282,800,607,500,502,500,800,500,445,501,502,282,500,504,500,282,500,649,503,645,500,288,282,753,649,531,649,483,699,340,503,500,800,504,649,649,500,444,649,502,502,503,500,501,649,501,983,502,21,800,800,649,501,502,503,928,807,521,800,16,800,502,800,800,503,16,503,138,800,500,503,800,503,649,501,800,282,503,251,502,503,800,282,800,16,502,649,501,237,504,649,500,503,875,503,800,500,503,283,282,129,649,800,500,21,500,503,500,500,503,800,502,502,649,503,854,502,649,500,800,500,649,976,282,501,501,503,502,649,800,800,800,502,800,482,503,500,282,502,500,845,501,501,502,800,503,502,500,501,502,282,245,649,800,649,800,503,800,649,500,501,83,502,866,800,500,501,800,103,500,500,501,502,504,500,500,502,502,649,649,282,541,103,503,501,800,800,237,501,800,501,501,649,500,800,501,503,746,649,940,107,649,705,502,649,502,503,502,819,570,500,430,800,500,502,800,649,282,728,502,503,484,649,500,501,500,649,800,42,502,800,500,500,503,572,503,282,649,321,501,501,800,503,503,649,504,800,502,500,282,501,800,16,800,633,649,503,571,502,649,503,103,501,800,502,800,500,501,500,501,503,800,502,500,500,800,84,503,503,800,282,501,649,503,501,778,502,503,502,503,766,501,225,502,501,500,500,503,979,800,16,501,533,500,800,502,503,246,503,502,282,503,500,800,503,500,502,503,649,705,503,503,204,503,649,42,9,502,800,282,501,800,800,501,633,649,129,504,649,282,500,501,649,800,649,501,765,502,25,501,800,649,501,16,503,800,502,500,501,503,649,500,800,503,843,501,500,500,45,503,649,500,502,800,500,501,500,501,501,504,500,504,649,502,222,649,577,500,800,649,503,649,705,502,800,649,16,649,649,501,502,980,503,500,483,500,800,649,501,16,800,500,800,84,282,282,503,501,556,502,800,642,504,649,501,500,649,502,501,501,503,800,502,504,501,501,504,502,282,500,502,800,16,282,649,800,282,500,503,503,503,282,500,282,500,504,199,183,800,800,372,282,800,503,500,503,375,502,387,502,502,282,500,503,649,800,502,503,649,501,800,502,649,649,107,649,647,103,282,500,16,500,649,502,501,500,503,500,503,503,649,503,501,282,649,501,93,503,16,282,649,110,502,501,502,800,649,55,502,503,762,282,146,502,503,502,649,501,914,306,800,282,501,502,503,502,823,282,500,500,655,504,282,501,501,503,16,127,983,501,502,131,649,800,920,500,649,103,264,666,800,500,503,16,649,649,16,282,282,538,503,502,503,501,977,521,705,800,502,649,16,16,503,502,500,800,500,526,501,649,503,500,502,821,500,501,500,649,503,502,649,501,502,502,802,800,292,649,222,502,503,16,282,135,103,282,800,153,626,502,649,501,501,500,502,500,902,502,503,503,501,503,107,502,500,800,649,500,500,500,649,331,800,503,649,503,874,501,503,503,649,502,501,800,502,502,501,503,256,888,501,649,501,649,501,649,800,502,107,500,502,539,800,800,800,500,800,800,490,501,503,208,505,649,501,501,282,107,503,502,649,503,501,503,502,502,503,435,800,500,894,800,800,501,788,282,502,16,282,502,503,282,502,800,502,501,500,282,501,502,800,500,500,500,500,649,501,503,649,503,800,502,723,649,500,800,800,502,282,500,800,502,502,107,48,503,649,649,282,504,800,649,649,522,503,800,45,282,649,282,503,282,502,649,502,503,810,800,502,501,800,800,519,501,800,500,282,502,500,500,501,649,501,649,501,503,503,649,502,500,780,800,500,31,800,504,282,282,753,501,282,501,68,501,649,800,649,403,800,500,500,502,671,765,817,800,282,502,948,480,500,649,503,503,503,800,789,502,556,501,504,500,967,500,64,501,322,16,649,502,501,107,282,502,282,197,500,503,649,258,132,16,501,649,282,800,503,500,500,389,282,500,500,501,504,649,501,282,503,835,649,501,502,800,502,649,503,453,500,800,282,800,503,282,649,500,500,500,500,503,501,503,282,500,649,994,800,503,501,634,800,800,282,502,500,501,503,501,282,500,502,503,635,604,649,2,501,500,649,800,500,649,282,649,503,504,282,649,503,649,101,502,501,649,282,800,605,800,605,501,649,800,500,800,649,501,501,711,649,500,800,800,502,501,502,501,649,800,500,501,459,649,502,501,16,502,800,501,16,500,503,502,502,800,800,16,649,502,501,502,503,965,800,501,16,649,16,502,800,649,800,500,502,436,649,800,16,503,16,503,503,503,504,501,800,800,591,500,501,811,503,800,500,502,503,649,649,502,800,501,503,800,282,503,800,649,503,503,502,806,800,800,324,501,800,502,256,500,800,800,649,502,502,503,282,649,649,486,16,500,282,501,612,800,500,503,282,500,282,282,800,649,370,520,800,430,503,501,501,501,502,800,272,16,523,800,282,649,503,503,800,501,502,800,502,649,649,800,500,800,501,282,502,502,501,682,649,16,503,503,800,504,800,502,807,40,649,214,656,500,800,800,649,503,502,800,502,500,345,649,502,500,107,16,502,617,671,503,503,500,649,649,282,503,800,649,500,503,800,800,649,649,282,500,686,103,800,800,503,502,649,649,500,282,502,503,649,282,503,649,284,800,501,501,500,800,282,800,800,501,800,414,649,502,800,649,500,34,282,500,800,800,503,501,448,16,807,800,500,501,503,502,800,503,502,502,800,502,740,282,800,503,500,282,282,726,800,501,500,501,501,103,649,282,649,453,501,502,501,800,282,649,500,800,649,500,503,419,900,16,500,258,501,649,500,502,282,649,500,16,649,649,503,502,81,500,502,800,503,800,501,501,398,800,501,424,500,649,649,686,500,649,501,649,282,649,502,500,503,503,103,503,16,800,503,679,588,501,502,282,800,501,501,500,16,502,493,500,502,500,502,502,806,501,649,503,756,500,298,501,501,500,649,502,649,282,500,500,865,16,282,502,282,393,503,649,503,500,282,502,927,503,501,857,800,501,624,502,800,649,800,502,708,503,502,282,397,800,649,282,500,649,282,500,503,370,128,282,649,502,800,501,282,282,649,649,501,502,867,746,501,736,502,649,649,800,800,503,800,501,743,800,492,501,918,649,800,503,502,502,500,800,282,503,800,503,649,502,502,282,107,504,282,800,604,503,282,649,649,500,649,502,484,502,503,685,649,800,282,649,800,502,16,503,503,800,800,501,64,649,649,502,165,107,502,503,649,497,500,500,501,649,513,500,649,501,501,501,502,502,502,504,16,649,500,504,385,16,800,649,800,501,800,16,649,502,503,649,500,503,501,649,800,649,649,504,649,45,649,503,503,503,503,107,502,500,503,664,502,500,241,501,649,501,502,501,500,503,500,501,503,503,282,502,503,800,649,503,502,649,393,800,500,240,649,503,282,16,649,800,500,873,503,649,502,501,501,800,282,282,601,282,502,649,649,500,500,501,800,502,800,555,282,800,501,282,74,501,16,504,503,649,500,800,501,800,502,161,503,282,800,504,504,107,800,503,503,649,501,502,503,800,503,504,16,501,649,502,500,649,489,501,501,501,502,800,501,16,502,500,649,501,503,500,649,800,800,502,649,502,967,800,503,500,503,649,649,503,502,800,502,649,282,501,16,649,502,503,502,649,900,501,800,16,339,282,500,800,282,503,500,800,500,500,922,502,501,501,282,649,800,110,407,649,302,501,627,16,500,502,649,649,751,501,533,503,502,35,500,500,800,16,502,503,502,800,502,503,503,501,500,800,649,282,503,770,502,282,800,282,800,502,502,500,502,469,282,649,500,566,502,502,942,500,800,800,500,107,503,502,649,873,837,710,649,501,500,503,800,503,501,500,282,503,500,800,503,282,800,800,800,501,649,800,502,502,649,107,888,649,649,800,500,503,502,269,282,16,649,282,800,500,800,502,501,504,649,619,501,503,504,649,503,500,501,983,658,282,502,748,649,501,503,500,503,500,503,502,800,16,649,649,501,330,501,501,800,649,800,501,800,502,500,800,800,800,16,649,503,503,800,800,503,784,502,800,501,800,501,502,503,501,504,503,501,649,868,649,282,649,800,649,503,502,504,306,502,282,282,500,381,874,502,800,282,16,502,649,501,502,503,502,649,501,282,800,282,800,800,502,800,500,282,500,502,649,800,649,800,502,649,501,16,282,800,649,800,501,649,800,649,61,501,500,503,502,282,500,503,502,800,501,800,501,502,502,626,501,649,500,503,282,567,649,656,500,840,57,503,500,800,502,282,500,705,503,800,502,500,792,268,100,500,501,503,501,503,649,649,503,282,500,503,500,800,649,503,800,503,502,501,500,501,501,503,501,501,500,501,500,502,800,502,649,934,649,57,649,800,450,101,649,453,282,502,649,800,800,990,800,500,502,800,502,500,503,282,649,800,800,282,503,800,800,501,800,501,282,800,500,649,649,503,733,502,501,649,503,644,800,649,381,501,503,500,500,949,800,500,800,607,649,501,502,800,500,500,355,649,501,649,501,749,282,679,501,881,10,71,649,503,800,501,649,649,649,800,503,800,503,502,800,649,504,501,502,16,503,649,16,500,649,649,282,501,503,500,261,500,649,500,500,800,649,502,500,502,282,500,16,500,16,800,820,938,800,502,282,800,16,500,800,502,282,500,912,509,504,501,649,666,501,500,800,800,503,764,16,361,500,649,318,501,649,503,502,501,500,649,649,503,503,282,718,501,649,260,16,103,501,501,927,800,649,500,649,501,501,613,302,503,501,500,500,501,503,501,502,503,156,502,500,501,649,800,502,504,503,501,501,77,664,16,991,103,503,800,503,282,800,501,503,649,502,612,800,16,503,503,501,282,501,502,103,500,504,500,649,649,502,503,16,500,502,502,504,503,282,503,502,800,500,649,649,16,800,649,800,735,503,282,945,500,885,502,204,218,248,649,800,800,649,503,649,794,503,503,501,602,649,800,649,503,800,617,16,260,502,800,500,282,502,282,500,566,502,196,503,426,500,282,800,501,649,282,800,800,282,649,501,649,800,800,800,703,503,500,500,800,501,649,504,649,501,500,282,16,502,503,282,671,503,282,500,502,282,503,800,925,503,500,800,501,501,800,501,640,994,16,916,967,16,800,503,503,282,503,800,503,500,502,503,649,502,649,500,16,107,107,649,500,503,16,502,800,502,500,502,501,401,649,16,282,503,145,649,501,868,502,16,911,500,649,187,649,501,500,502,500,107,502,649,503,502,503,649,500,649,502,800,502,502,151,546,500,503,647,649,16,503,501,500,502,501,501,282,501,313,282,500,649,500,502,500,282,501,800,501,649,282,800,649,502,503,87,501,800,649,501,800,500,997,502,282,800,103,649,503,503,800,503,503,500,282,649,107,502,649,504,501,502,800,800,503,189,649,16,501,870,502,501,501,649,306,500,800,500,502,282,503,800,503,282,250,103,500,500,502,800,500,800,502,800,500,501,500,242,503,502,503,501,502,649,500,800,800,500,501,503,500,503,502,126,501,800,800,502,649,502,807,502,503,649,503,502,834,800,501,500,500,500,503,501,424,502,500,800,502,501,501,336,502,503,502,800,501,502,500,502,800,282,504,649,500,649,282,503,649,502,107,649,649,800,501,800,655,100,833,500,501,500,649,16,503,807,800,282,500,649,800,927,502,503,16,500,800,502,502,500,500,800,502,649,502,30,502,16,501,503,649,282,649,16,502,649,649,500,800,500,502,503,271,16,504,502,282,503,502,503,502,502,649,649,500,501,16,503,649,501,500,503,649,502,282,649,202,103,500,501,702,800,501,800,107,503,501,649,551,502,503,764,698,500,282,74,800,500,503,501,72,437,800,800,282,502,503,800,800,502,107,282,503,800,500,504,649,501,501,222,502,282,500,501,331,503,503,282,16,649,649,502,503,88,502,985,730,625,503,502,767,500,501,500,501,190,501,557,503,502,800,502,800,502,649,500,222,649,502,282,514,503,501,503,501,800,501,503,800,649,282,501,649,503,649,282,800,649,501,649,501,501,502,800,503,503,501,16,649,649,800,502,500,502,502,503,209,649,800,502,649,503,800,502,601,16,649,500,502,501,500,282,501,500,503,16,500,649,747,500,502,800,501,800,504,500,503,503,16,500,163,282,502,502,800,503,500,503,638,503,500,649,502,800,503,649,500,649,800,500,502,501,501,503,501,502,502,502,500,503,503,800,142,500,500,800,16,649,501,502,502,800,501,500,800,501,501,503,503,503,501,503,502,501,800,649,649,282,501,649,500,500,504,920,649,500,649,503,649,649,502,502,503,282,500,649,501,503,500,860,500,282,649,282,502,282,502,649,800,800,16,282,26,107,649,500,500,282,282,503,501,649,107,501,282,59,649,503,800,732,500,502,502,502,800,501,649,800,500,500,501,510,503,500,649,503,103,649,500,282,16,800,503,503,503,775,500,800,503,16,503,800,834,502,502,503,501,502,501,800,501,503,240,502,503,500,243,503,500,649,649,503,974,649,503,500,600,503,800,649,503,503,16,50,270,649,503,616,502,112,502,649,502,501,500,500,500,501,16,282,503,16,502,501,153,502,800,503,501,502,282,501,649,282,649,500,368,649,502,800,110,800,649,800,800,601,503,502,800,800,502,646,501,500,800,800,16,501,503,504,800,501,502,503,649,501,503,16,500,503,800,500,800,282,800,902,503,649,800,502,501,282,282,649,504,800,503,503,503,503,503,502,649,503,776,960,501,541,503,502,501,502,503,16,503,800,282,501,501,282,16,800,969,500,500,800,501,649,797,501,503,500,500,467,282,282,649,500,7,503,396,502,649,282,649,501,282,500,501,509,500,502,500,800,501,100,502,800,500,502,101,103,501,800,303,282,503,502,501,443,649,503,800,503,500,705,501,503,872,503,501,282,800,502,500,649,503,502,649,500,502,504,282,502,502,800,282,501,503,958,80,282,503,501,500,501,500,800,502,502,503,501,501,282,649,503,500,649,500,504,501,800,501,500,501,800,501,800,502,501,800,503,502,493,501,580,502,500,502,35,800,500,503,502,503,502,282,501,649,501,502,800,502,800,502,501,501,800,16,16,496,503,500,649,501,55,705,502,282,500,503,282,750,502,502,649,282,800,800,504,679,650,421,501,504,503,649,649,800,501,705,501,502,500,282,502,800,800,503,500,503,441,103,504,502,16,649,501,837,181,800,503,503,503,504,614,500,502,800,649,500,502,282,502,649,664,794,649,800,106,649,23,502,649,800,501,500,800,574,800,800,502,501,503,282,282,503,503,501,649,501,800,504,500,103,282,502,800,501,501,503,649,503,503,501,500,282,504,107,284,503,504,16,502,503,500,800,649,501,649,504,800,502,500,649,500,500,500,800,380,282,501,503,800,501,501,501,503,504,800,501,500,968,502,500,502,100,503,503,649,107,503,500,490,649,502,649,500,503,502,649,836,107,500,502,501,502,501,502,500,500,649,500,502,501,503,16,500,500,610,16,800,649,649,305,649,16,502,879,501,501,649,500,500,503,504,503,502,501,649,501,503,649,501,800,800,649,800,649,503,944,502,852,504,500,16,477,500,501,500,501,282,503,502,500,500,649,502,503,964,500,16,649,503,800,800,282,649,502,500,502,649,282,800,502,649,551,502,787,282,103,502,500,503,16,501,503,501,501,800,501,501,282,502,500,502,800,502,500,503,282,503,501,649,254,501,500,282,501,500,500,501,504,877,107,501,649,347,649,502,503,649,504,800,501,649,503,800,800,500,500,504,502,504,299,500,282,502,363,502,800,502,500,367,800,282,502,502,503,800,282,503,502,501,715,282,503,649,800,502,500,501,800,649,107,277,501,500,282,503,501,504,501,503,501,502,800,282,649,503,904,503,649,800,16,282,501,501,833,502,502,282,705,502,503,501,502,501,282,649,551,649,800,295,282,502,503,282,649,503,649,16,502,502,282,502,353,546,503,501,502,712,501,500,501,649,649,502,800,282,282,836,649,800,500,501,800,501,110,800,503,282,16,502,649,501,502,16,500,310,282,500,502,502,502,504,282,649,500,500,502,502,502,500,555,503,800,773,500,502,314,503,502,649,649,649,800,100,649,649,16,502,501,800,501,649,800,282,503,503,502,501,582,501,502,502,501,649,800,502,282,649,501,503,502,502,800,800,800,649,800,501,282,800,501,502,500,154,500,503,19,501,800,503,503,282,800,503,503,500,503,649,649,503,877,503,501,800,503,800,649,500,666,503,501,504,150,800,503,800,175,16,500,503,649,501,282,975,52,500,649,606,501,500,649,649,504,502,500,501,502,103,500,501,501,800,800,503,16,649,502,800,649,800,649,282,282,504,282,800,649,649,649,649,500,502,503,282,763,500,501,649,502,800,503,501,649,800,501,501,502,500,503,800,649,503,501,500,501,800,504,107,503,649,672,500,649,501,649,409,282,503,501,343,800,649,502,502,16,649,16,800,912,502,502,800,501,501,649,800,253,800,649,282,649,502,500,502,501,649,501,501,501,500,502,502,501,502,502,500,503,770,500,649,502,503,502,649,502,649,800,500,503,800,800,500,60,502,649,502,649,971,649,800,500,503,16,500,501,649,500,501,254,449,649,868,800,157,649,503,800,800,503,500,503,500,649,800,16,649,502,500,502,503,800,649,503,503,561,800,500,503,16,282,800,502,16,107,800,649,503,500,501,503,503,500,649,649,282,957,303,501,649,800,501,807,502,649,501,503,503,800,502,800,502,812,502,500,649,800,503,501,504,501,501,503,502,800,202,503,649,800,107,800,501,800,649,800,16,500,987,503,282,503,800,649,500,502,501,503,500,800,800,282,465,501,282,500,501,649,501,500,503,282,504,751,500,282,500,502,501,502,800,500,501,503,501,502,503,501,503,800,503,879,800,502,501,649,502,433,800,500,800,502,501,649,501,502,649,649,649,500,800,503,800,501,649,503,500,393,649,103,500,503,501,501,464,800,635,503,500,502,282,503,282,503,16,649,800,503,500,503,282,502,500,500,502,800,502,500,800,502,800,644,502,800,649,173,504,500,649,854,800,800,500,800,945,503,649,501,501,500,500,800,503,503,502,502,97,800,502,649,282,800,649,800,800,299,501,16,503,668,503,282,503,800,643,502,800,502,501,500,502,649,800,502,150,503,649,503,501,502,503,800,958,800,800,919,503,468,565,649,501,282,503,760,800,800,500,500,800,501,504,788,500,500,503,501,649,503,282,503,649,500,500,836,500,504,800,878,503,502,16,503,649,649,649,800,649,16,502,649,302,800,598,503,502,579,500,282,501,503,503,59,649,500,501,503,649,503,502,500,649,503,800,203,800,800,461,621,502,500,500,649,502,501,800,875,711,500,503,503,800,834,800,282,113,282,500,502,500,503,282,134,649,649,500,649,536,16,649,501,500,649,649,800,649,464,500,282,112,501,504,649,502,500,500,800,800,460,504,503,649,503,800,501,649,800,500,501,502,800,649,500,501,503,504,501,876,808,649,453,501,504,503,649,649,500,502,282,909,501,502,282,164,649,412,501,649,500,502,502,649,503,800,282,501,501,800,649,498,503,282,597,800,500,501,282,500,16,502,595,501,501,503,503,501,800,800,800,16,800,502,23,16,800,501,501,500,500,800,649,500,800,282,649,218,282,503,976,502,649,893,800,800,649,503,500,501,282,502,800,649,501,503,649,501,503,16,501,502,649,649,501,649,239,503,649,503,16,504,649,107,502,865,502,938,501,649,800,649,500,713,502,502,503,649,503,107,605,502,502,649,282,800,439,800,800,16,503,500,800,501,503,800,503,763,800,800,800,800,649,800,503,502,800,502,282,924,501,503,278,649,282,504,800,501,673,800,16,502,649,503,501,502,649,63,800,39,501,501,323,500,501,649,282,267,500,500,800,800,501,502,503,800,800,502,503,16,919,500,660,500,502,800,282,501,500,503,956,500,500,282,503,500,503,649,502,502,500,800,501,501,649,586,649,500,503,800,502,503,503,769,49,502,800,501,501,107,800,502,503,550,502,800,502,16,800,800,311,503,503,16,500,503,282,84,649,212,800,800,500,502,502,800,503,502,501,800,501,649,956,501,103,503,282,503,800,16,103,501,501,500,503,501,500,152,800,800,282,738,500,500,800,502,532,503,500,503,463,503,655,649,502,501,800,504,367,16,501,649,502,800,649,500,503,501,282,501,282,800,502,502,500,503,649,501,503,209,282,500,504,16,399,501,504,800,649,649,501,502,500,800,503,501,800,501,503,282,501,500,503,501,800,502,503,17,501,649,502,800,501,649,500,502,107,800,16,883,501,282,502,502,807,649,503,800,649,806,16,502,649,800,282,503,500,649,639,500,503,305,16,500,800,649,109,800,500,503,649,16,909,502,112,800,500,502,938,800,503,692,501,649,6,500,649,500,800,20,16,504,501,502,800,501,936,500,282,502,501,500,500,501,503,503,800,501,501,344,800,282,649,800,500,800,501,800,501,502,500,800,800,503,649,919,348,501,500,327,500,649,503,800,500,800,500,354,282,800,502,649,500,800,282,503,500,649,500,705,501,698,800,16,649,501,649,649,502,503,501,929,800,503,107,282,503,649,500,951,503,502,503,500,500,782,649,107,500,502,649,501,649,500,503,500,282,419,502,800,502,649,501,649,503,282,649,502,503,503,800,500,705,503,502,500,500,282,13,800,500,503,800,503,501,16,500,16,800,800,500,502,649,800,500,20,503,222,502,282,282,501,800,649,282,649,502,116,649,800,107,107,800,282,800,649,502,504,501,800,800,501,503,500,649,503,649,500,501,501,649,500,201,645,502,800,503,503,800,504,282,649,800,282,18,188,800,503,282,502,502,800,813,500,649,294,502,282,107,282,800,503,503,502,800,500,501,500,282,501,500,503,500,800,503,501,501,800,500,501,930,107,800,500,501,575,282,800,501,16,503,501,504,503,500,503,502,502,503,800,16,800,649,649,500,16,501,501,800,298,282,800,501,192,502,649,800,649,501,501,16,502,503,16,16,282,16,649,287,501,503,500,502,649,282,502,501,502,500,501,800,502,500,800,501,282,502,254,649,800,800,500,402,649,649,502,176,503,500,503,649,503,500,649,800,503,501,649,800,500,500,800,502,281,800,503,282,500,715,640,800,501,649,501,649,490,970,649,800,501,800,705,825,800,500,503,501,800,500,502,501,500,501,503,502,503,503,649,502,800,800,800,503,588,501,500,502,982,282,695,649,503,503,800,502,282,500,649,800,502,282,939,649,800,756,16,503,500,103,501,649,500,463,107,501,500,12,322,500,814,649,501,800,503,800,282,949,625,800,601,649,282,500,800,649,503,501,500,282,573,500,486,503,501,501,503,503,649,500,800,800,316,282,649,912,814,800,800,649,16,500,504,649,16,282,282,282,501,500,502,649,502,154,649,113,501,501,426,503,502,502,503,649,649,649,501,282,500,187,563,500,500,730,501,500,502,800,503,501,501,502,208,503,282,800,501,502,500,500,649,501,282,97,502,501,500,502,503,500,503,607,500,501,501,502,503,649,503,649,282,501,502,649,500,800,649,503,500,502,501,649,649,107,282,500,502,282,649,800,364,649,503,503,502,502,502,501,107,800,649,554,503,16,16,500,575,500,800,282,500,187,282,649,16,500,282,649,503,502,800,502,502,503,500,503,800,501,52,649,502,800,649,501,502,800,800,702,502,282,504,282,500,649,500,800,800,503,800,649,282,800,502,800,16,800,282,502,649,349,502,649,391,214,500,501,943,501,504,649,649,636,500,649,649,282,240,501,649,503,649,502,500,503,502,800,503,500,649,282,503,800,649,427,282,500,501,705,282,503,649,423,103,800,502,500,800,800,501,16,503,649,503,501,503,282,502,502,502,502,502,501,502,800,649,502,649,649,649,282,800,503,344,503,503,649,501,502,501,800,649,800,800,330,713,500,800,501,502,503,649,36,800,282,502,649,282,649,282,617,723,649,503,503,503,282,649,649,489,649,800,501,500,800,282,282,500,500,502,16,503,800,621,502,800,649,503,451,800,501,649,501,462,800,284,406,501,649,501,800,800,649,649,501,501,16,649,501,503,800,503,217,502,501,500,282,503,502,503,16,800,800,800,84,800,500,501,649,503,282,800,500,503,502,502,800,800,800,282,502,500,863,500,649,500,502,504,503,500,501,800,16,502,502,500,503,503,497,649,501,501,471,501,649,649,384,502,800,909,501,502,649,800,705,649,107,503,649,500,800,282,502,501,502,649,800,649,932,502,503,649,800,502,100,503,518,501,649,696,500,888,282,282,596,937,800,649,800,503,219,800,649,649,502,500,503,800,649,501,649,800,502,800,649,501,800,503,800,502,500,502,800,649,501,282,502,500,800,800,649,282,501,800,501,501,503,746,800,649,800,500,671,502,649,649,503,282,502,504,500,500,500,282,885,503,502,800,503,649,649,500,649,492,501,649,502,282,800,501,282,800,828,501,267,800,649,649,282,759,282,732,649,503,502,502,16,503,800,547,502,800,16,502,800,333,501,502,500,501,502,500,501,502,16,503,503,1,501,649,103,800,502,174,800,282,247,504,800,503,500,800,649,500,501,503,502,503,649,29,501,800,503,542,503,649,502,503,274,502,502,800,282,649,649,800,800,800,504,282,500,800,503,649,649,501,502,282,503,502,800,282,501,800,649,800,503,500,649,500,790,935,503,502,503,501,502,705,501,504,971,500,500,649,503,853,282,649,282,649,502,16,502,649,503,800,502,502,502,103,282,501,16,501,503,500,800,235,800,282,709,500,800,443,501,616,800,649,282,502,649,800,501,800,502,855,649,649,870,500,500,503,500,705,301,503,503,282,501,504,502,501,319,500,503,800,500,501,282,502,649,800,649,502,501,502,502,501,319,800,800,649,107,501,503,501,501,649,282,800,500,800,649,502,649,503,500,649,500,649,500,800,501,649,800,503,879,503,503,500,649,501,705,501,649,503,16,800,800,715,28,800,502,502,500,501,291,503,501,501,649,501,502,502,503,501,503,502,503,500,282,500,503,500,503,781,503,501,502,649,503,503,501,649,443,501,282,504,16,649,406,502,649,503,501,503,282,164,504,41,503,16,800,282,897,500,800,500,500,649,478,877,649,441,16,500,800,649,649,816,500,500,16,502,800,502,502,800,503,800,502,16,800,649,282,800,800,503,800,503,800,800,800,502,500,800,282,503,503,502,502,504,503,800,502,848,800,502,843,500,649,282,500,503,282,16,800,800,503,649,503,504,649,492,649,649,502,503,501,357,750,282,291,727,500,800,500,892,502,504,972,800,503,502,500,649,502,16,502,16,501,502,501,502,282,500,800,800,649,501,501,649,609,501,770,800,800,965,500,501,649,503,501,501,800,503,500,16,502,776,500,16,503,649,800,503,601,982,502,501,917,983,649,665,107,649,503,502,282,279,501,504,502,800,501,649,649,502,501,800,649,800,502,800,16,500,901,649,501,501,800,800,503,649,800,800,500,279,649,281,502,500,501,503,500,800,503,503,501,500,16,503,418,800,649,649,503,107,502,282,167,502,107,649,329,390,502,501,126,884,503,503,503,501,503,500,573,282,649,649,502,503,442,501,503,502,502,503,649,800,503,502,205,661,800,103,503,503,503,501,808,500,500,503,503,103,649,649,800,649,502,503,800,800,500,649,501,500,501,800,800,649,502,282,649,282,504,502,649,800,503,503,393,528,649,501,800,502,649,857,501,500,649,800,500,500,501,501,501,502,919,503,401,500,16,792,500,500,503,316,103,502,501,504,503,502,500,800,16,500,502,282,175,649,74,16,503,503,309,501,800,503,107,649,502,500,502,503,282,800,16,501,501,502,502,500,500,501,649,500,649,502,501,504,976,649,123,501,500,502,282,501,500,501,501,501,503,800,500,501,369,504,800,500,501,959,501,418,503,731,501,500,502,282,502,800,649,502,800,501,800,358,817,16,500,503,504,503,800,501,282,162,649,896,502,501,16,282,800,503,800,500,800,502,800,502,500,618,282,800,320,649,649,502,649,649,228,649,649,502,502,800,504,107,649,503,40,500,313,649,503,502,503,800,501,502,500,800,800,282,282,501,503,666,502,501,649,501,503,501,503,503,807,502,649,502,800,800,503,800,800,501,754,16,649,502,955,502,800,500,501,16,800,606,503,800,776,503,500,800,503,501,503,279,282,962,501,502,649,503,501,183,800,337,503,282,800,502,800,500,282,649,649,503,502,649,503,649,503,500,504,107,504,649,230,800,503,501,501,501,501,649,500,503,503,16,649,16,503,503,502,500,746,800,649,649,189,502,800,282,800,502,503,500,502,282,282,500,500,501,503,800,800,500,800,500,503,684,503,500,800,502,800,503,649,501,800,649,800,282,800,500,500,500,974,800,827,800,502,503,500,840,500,502,649,503,800,636,649,502,282,500,649,500,503,800,16,546,501,649,220,501,501,282,330,500,107,501,503,502,500,502,649,16,276,800,501,107,800,502,282,649,800,500,500,649,800,502,500,735,649,503,649,500,16,282,16,800,503,503,503,800,565,965,790,500,502,107,501,107,282,649,649,282,649,282,649,815,500,800,16,502,649,649,503,649,800,649,326,504,501,800,16,503,778,800,503,649,500,502,649,500,500,503,800,800,502,649,501,501,500,501,503,503,800,501,503,649,282,366,649,649,501,16,800,501,504,282,501,282,502,162,500,503,503,503,800,649,500,649,800,800,501,649,502,500,800,503,649,800,16,501,500,649,500,800,500,800,800,282,534,503,649,823,282,800,649,419,502,800,497,800,649,282,800,502,500,537,503,501,500,649,701,502,500,649,800,500,500,160,503,282,501,282,502,107,800,503,530,502,500,500,800,800,649,967,282,282,502,501,16,500,500,800,503,649,500,282,915,800,502,800,282,502,500,107,649,800,501,975,649,502,649,800,500,649,649,503,649,500,501,503,500,705,501,502,500,502,503,282,800,649,500,109,16,501,848,500,649,500,987,501,282,503,282,502,800,502,649,360,800,502,592,502,107,800,124,934,503,641,502,800,502,100,504,502,503,649,649,501,500,16,720,502,501,882,500,649,501,502,714,502,500,800,501,649,500,649,16,800,649,282,800,503,16,502,500,649,500,500,207,721,503,482,500,502,800,502,772,503,529,725,800,501,502,502,503,649,649,282,502,503,501,283,500,800,500,500,501,503,649,503,649,501,501,651,500,800,503,501,502,501,942,282,502,503,282,501,502,500,800,800,93,500,501,649,503,501,503,504,920,220,457,501,503,501,500,502,500,503,649,500,500,500,501,501,800,260,500,800,649,279,649,500,501,649,800,16,501,282,244,502,504,800,500,501,500,503,503,107,500,282,504,765,968,649,800,16,112,500,649,501,501,500,503,800,890,649,67,502,501,400,503,502,406,502,800,671,500,502,503,768,800,705,282,649,800,502,107,504,282,800,649,500,649,501,107,503,503,800,504,218,502,501,800,500,282,282,649,500,500,500,800,642,774,501,649,504,286,649,800,502,500,500,501,504,800,503,500,501,675,852,649,800,501,282,649,282,502,800,649,16,800,500,649,796,800,501,800,800,708,705,800,502,107,503,500,502,503,500,500,16,880,649,503,501,500,649,500,500,503,500,505,502,502,990,500,503,503,339,503,502,501,503,500,502,282,107,500,649,503,800,500,500,800,502,649,800,649,16,800,282,5,800,500,501,501,88,649,500,502,16,501,504,649,501,503,282,503,503,800,493,956,500,503,502,667,501,501,500,800,379,800,501,501,800,503,502,501,503,800,644,501,503,501,649,800,800,649,502,924,503,501,502,155,800,649,622,800,501,710,500,503,502,602,501,502,500,503,501,282,500,305,649,500,282,176,800,800,501,500,502,282,500,502,800,282,502,800,282,800,679,503,282,503,501,649,661,500,16,800,16,649,501,987,800,503,910,502,502,649,501,800,501,649,501,16,502,772,500,649,282,800,501,501,503,800,800,800,503,500,501,800,503,800,649,500,174,545,501,501,800,649,501,800,501,209,282,801,649,501,501,649,16,500,500,800,502,649,501,282,100,649,282,649,636,482,503,502,800,503,16,649,800,500,500,502,282,500,649,800,591,501,503,501,548,2,800,501,107,500,649,649,501,649,502,649,501,503,143,649,649,282,649,500,16,502,800,800,560,118,501,502,860,649,100,282,649,282,500,282,500,501,282,707,500,800,674,504,499,503,501,500,502,800,502,503,34,649,800,502,788,501,500,800,500,503,501,501,800,503,502,723,800,649,282,502,501,179,635,282,501,503,503,504,502,503,501,503,502,209,500,958,501,503,800,649,649,800,282,282,800,649,501,663,926,501,649,220,500,179,800,500,800,500,649,503,869,649,502,503,16,282,800,282,649,649,501,466,282,501,813,128,502,502,503,502,501,502,501,502,501,772,502,500,503,800,649,617,649,210,503,800,649,500,800,502,16,501,649,282,800,501,2,503,502,433,503,501,502,282,504,4,500,800,500,800,800,800,503,975,800,282,296,719,503,649,649,500,705,501,649,503,502,16,800,502,492,500,503,649,500,282,502,39,501,503,649,500,500,117,502,649,502,500,800,107,804,501,913,282,649,503,500,501,503,501,649,800,282,800,501,501,800,649,800,800,288,282,502,503,502,941,649,649,503,761,503,502,502,649,282,501,501,502,501,520,800,649,526,649,503,800,503,800,501,506,503,649,502,501,282,649,503,500,502,501,16,500,16,503,649,501,367,501,500,500,501,500,502,500,502,800,769,259,500,461,503,147,630,502,503,502,501,500,800,500,503,800,800,502,500,502,501,501,501,109,500,1,800,780,501,503,649,800,800,504,726,501,502,800,282,502,501,649,282,541,800,544,888,282,503,649,503,501,649,548,938,500,501,307,800,800,503,503,502,503,649,915,649,736,501,503,16,501,393,338,500,502,800,501,800,501,500,500,282,649,501,282,503,500,503,501,500,649,16,501,714,500,502,282,16,800,503,800,906,502,282,504,25,500,415,503,500,990,502,501,502,501,500,501,800,577,282,282,502,503,500,502,16,503,882,503,301,800,282,475,501,500,16,107,503,501,502,282,502,503,500,800,502,503,503,649,649,324,806,249,649,503,503,500,501,503,504,800,501,501,307,282,958,502,800,502,677,501,502,800,501,649,170,501,800,490,501,282,649,500,282,800,504,504,800,500,501,408,800,16,16,800,502,282,501,500,500,282,501,502,282,500,16,800,503,282,800,800,500,800,807,16,501,5,500,501,503,503,503,649,500,500,503,800,500,649,500,502,800,503,504,197,61,502,503,501,649,282,800,503,501,501,649,501,500,16,500,503,502,501,649,800,503,501,504,800,501,800,847,725,503,649,649,500,800,282,503,500,502,649,649,800,800,649,501,501,500,501,502,800,500,800,501,500,800,235,282,502,800,649,800,16,501,739,800,501,800,500,500,800,800,800,16,649,741,500,649,501,502,800,282,800,16,800,503,503,649,908,685,503,649,501,500,800,800,800,107,774,501,6,282,649,503,501,282,500,649,500,370,282,503,800,783,502,649,649,500,649,500,502,502,282,800,500,501,380,800,502,800,649,282,649,500,800,502,649,500,800,777,800,503,501,985,649,501,796,503,500,500,504,501,282,503,282,103,502,503,502,503,501,649,649,649,103,649,103,501,500,16,503,501,501,800,500,772,500,110,649,32,501,501,800,501,253,502,649,282,500,649,502,282,282,500,800,500,502,800,282,501,502,649,503,800,649,500,282,504,501,800,500,501,503,503,501,501,502,800,282,649,502,107,501,500,503,501,501,16,282,500,16,649,501,282,800,502,504,503,503,800,649,649,222,125,691,992,503,503,501,501,749,503,103,800,503,502,303,502,231,503,500,800,503,16,503,501,257,500,501,501,649,503,502,434,503,504,800,503,500,502,216,503,800,344,800,501,649,500,500,649,502,792,282,502,606,390,500,500,649,800,16,800,153,440,502,438,16,891,602,905,282,501,501,649,504,501,649,515,502,446,502,742,800,649,16,500,282,501,503,649,724,282,282,725,8,800,501,503,649,504,16,282,800,503,503,649,501,649,503,502,500,503,500,420,16,501,649,503,282,500,500,649,649,649,500,501,502,800,649,500,800,649,503,649,503,503,501,300,649,16,649,500,502,107,503,500,501,85,503,503,503,504,501,502,503,500,501,649,649,373,502,503,107,501,502,501,31,649,800,421,502,500,800,800,503,344,211,502,649,649,800,504,503,282,800,501,501,649,503,502,502,787,502,500,502,501,103,500,800,500,282,282,501,887,800,500,649,800,743,501,503,502,800,502,503,503,282,16,501,503,69,503,800,500,16,649,851,282,16,649,800,800,501,800,721,503,649,502,649,800,504,500,940,503,800,282,501,502,200,500,503,501,501,532,649,107,500,649,649,501,16,282,800,500,354,282,503,502,502,800,500,501,501,503,502,276,606,500,282,800,500,501,967,501,501,503,500,500,500,503,501,578,502,500,99,505,503,282,501,649,775,503,649,649,282,15,649,705,41,502,326,503,503,649,282,538,16,501,870,500,502,800,503,232,500,500,649,800,500,282,501,800,500,503,649,503,501,282,727,501,503,502,800,164,649,800,649,502,282,500,800,503,282,800,282,800,649,503,800,649,501,459,36,787,502,501,502,649,16,500,649,800,282,503,901,503,501,503,501,800,16,501,160,503,502,750,500,282,649,503,503,800,649,501,504,282,503,502,501,800,800,649,800,800,649,500,222,502,500,800,305,649,501,502,649,800,107,502,502,504,840,103,800,502,485,500,92,500,502,608,502,501,940,501,800,16,501,501,649,933,649,501,649,500,500,649,501,503,502,649,927,800,500,16,502,502,500,501,501,800,502,800,273,101,649,500,649,800,282,800,16,282,282,225,800,800,500,502,800,501,862,16,500,649,800,503,800,501,503,828,649,503,282,282,800,649,800,501,649,503,282,70,500,502,500,649,850,679,346,502,354,649,503,501,705,649,503,501,504,503,503,800,501,501,501,502,500,107,800,816,503,503,500,502,501,501,503,282,800,587,500,501,649,503,649,16,282,649,642,311,649,16,502,503,501,649,649,502,282,501,502,181,500,196,500,282,500,500,800,500,501,502,649,664,503,501,503,501,502,649,800,500,759,502,502,501,502,503,500,502,282,706,16,500,501,501,800,503,344,501,503,502,500,282,800,282,649,140,57,649,107,549,500,800,502,800,649,649,500,800,504,240,503,501,297,649,282,502,503,501,780,501,800,385,800,103,282,800,800,501,501,501,503,503,49,502,500,503,502,559,615,449,649,649,500,503,503,502,16,503,800,800,282,282,501,800,504,952,800,501,649,501,502,503,500,500,649,649,502,501,500,800,503,500,304,649,502,501,503,800,502,500,500,922,502,503,503,502,282,502,649,917,221,502,501,800,500,649,800,649,500,800,16,649,800,501,649,503,502,502,502,649,360,800,502,503,649,577,501,800,500,968,502,501,501,500,649,282,501,501,800,501,800,800,500,297,501,800,501,470,503,649,503,649,82,800,709,502,503,643,800,500,503,953,501,77,800,500,649,582,502,500,800,623,500,887,502,501,500,501,800,501,649,649,649,501,500,502,503,16,649,500,107,500,503,500,503,282,502,107,800,282,903,503,502,649,606,501,500,504,807,502,649,800,649,500,503,503,649,16,501,503,649,501,501,503,500,500,501,501,282,503,192,511,267,649,501,502,504,500,501,118,800,282,500,784,501,800,649,502,800,500,16,282,500,501,500,500,503,282,502,501,500,507,691,502,800,424,649,22,503,282,649,781,440,501,800,649,500,502,503,716,800,501,502,800,502,503,649,926,649,500,503,500,596,800,500,503,649,232,16,500,649,537,649,649,502,985,501,917,800,500,107,794,500,502,501,74,501,649,16,503,282,282,503,649,500,500,343,604,504,501,504,503,500,16,282,503,800,502,502,501,500,500,800,502,649,501,282,501,649,800,503,501,503,501,800,800,503,500,282,503,705,800,113,501,501,503,800,800,282,800,501,830,970,503,500,649,500,649,500,800,500,502,800,800,988,649,503,503,502,800,500,800,503,800,800,500,500,16,649,503,500,649,503,16,953,502,502,79,501,543,16,500,502,800,422,16,502,374,502,501,16,16,503,503,179,282,420,855,500,442,501,924,500,500,800,16,649,282,502,503,500,282,501,649,502,501,503,649,500,800,500,503,800,649,649,800,282,500,800,915,500,16,29,649,502,800,800,107,501,282,800,649,502,501,503,502,500,649,503,503,502,501,500,800,649,500,503,503,800,502,800,500,282,500,503,800,502,502,502,503,649,502,501,501,649,500,649,649,500,169,502,170,504,502,649,800,502,310,649,800,649,16,502,649,649,503,649,500,501,502,501,501,649,501,501,500,500,503,502,558,501,793,503,16,800,502,500,800,800,500,501,502,501,502,500,649,501,503,649,503,697,282,503,705,501,16,649,649,503,282,649,502,500,678,174,501,503,502,649,503,502,800,705,500,282,501,802,282,800,502,156,355,649,800,502,503,502,649,502,649,503,649,534,590,16,783,460,800,800,501,649,503,501,502,800,110,500,80,500,935,502,503,502,705,428,631,282,503,800,500,282,501,501,500,503,649,502,501,502,16,503,800,500,501,48,500,107,103,503,107,502,500,800,501,503,500,649,282,800,501,502,800,800,500,257,107,504,800,502,107,502,502,649,16,501,101,107,500,502,649,501,502,649,270,800,501,370,800,282,503,649,501,107,705,649,282,500,503,282,282,500,502,500,500,800,502,500,503,502,251,502,502,649,800,624,810,523,800,500,649,800,504,501,800,503,649,503,503,500,649,649,503,649,503,502,282,502,107,503,649,595,500,502,615,282,282,501,503,576,649,501,503,800,501,649,502,800,503,503,503,777,800,800,500,503,800,500,503,503,500,503,649,501,501,503,649,475,501,649,501,501,501,649,649,500,500,942,649,920,649,502,649,502,500,500,502,502,800,500,800,502,500,800,107,502,500,501,800,502,501,649,501,503,954,649,649,649,544,500,649,500,502,282,487,800,282,503,800,649,451,503,649,500,502,936,748,501,649,502,649,800,500,255,500,800,649,504,502,501,800,501,282,282,16,502,282,503,886,447,800,106,649,501,503,502,800,800,152,808,342,580,604,282,649,500,592,800,649,649,503,503,502,649,282,282,502,699,107,800,649,649,504,282,909,294,321,705,501,994,502,649,649,624,500,501,502,503,976,649,110,800,16,800,649,501,502,502,501,503,502,800,325,649,503,16,501,282,500,502,500,502,312,282,500,16,807,649,502,33,501,282,503,502,503,502,503,649,503,502,502,649,16,503,503,501,649,501,950,16,800,502,503,80,800,501,500,163,503,800,800,800,572,501,501,649,501,500,282,502,501,503,649,501,130,500,500,500,16,800,649,649,503,502,502,500,503,501,710,501,503,649,500,800,800,346,282,504,64,503,800,503,500,501,107,908,503,502,502,503,502,16,501,800,932,76,503,503,282,800,500,501,649,538,503,504,649,500,503,800,16,500,712,502,887,501,500,502,649,649,500,649,504,649,502,649,282,502,501,649,649,800,502,500,282,501,500,127,503,503,282,649,503,500,500,649,503,649,649,896,420,573,800,441,800,800,500,500,500,122,282,282,282,500,500,503,501,323,282,716,649,500,501,500,800,649,649,153,282,502,649,649,500,787,500,500,649,649,649,500,501,649,800,16,500,649,501,952,800,555,501,500,800,649,500,517,240,503,16,800,503,432,502,649,503,649,502,501,800,501,800,502,800,408,800,500,511,800,502,16,649,649,501,501,502,502,500,502,282,500,649,501,502,916,503,502,502,500,800,649,800,649,503,502,503,800,503,800,649,282,755,503,501,500,502,500,502,107,503,155,503,500,502,649,705,800,501,301,649,501,282,502,800,16,282,500,649,502,16,282,503,502,502,649,883,800,502,807,702,17,16,649,503,16,151,282,501,649,282,504,504,800,502,500,501,140,501,500,649,502,502,649,800,800,502,502,649,500,800,500,282,800,502,649,649,674,500,503,800,649,500,502,649,500,502,503,43,497,16,800,282,649,649,800,649,649,502,800,648,503,501,649,502,649,649,500,500,282,503,501,502,649,500,948,800,501,20,503,501,282,800,501,649,500,500,800,649,500,800,503,501,649,503,16,500,800,282,502,740,282,649,649,502,800,501,812,501,585,501,503,800,52,502,608,800,282,503,800,502,800,502,800,501,16,501,504,388,16,167,649,649,501,282,503,501,800,649,228,330,503,800,649,800,649,501,649,503,16,16,500,649,800,500,107,904,369,503,800,501,500,887,502,649,502,502,502,500,503,649,502,501,503,503,866,503,807,500,670,649,649,500,649,495,501,500,800,502,501,501,649,800,503,502,282,500,282,602,649,649,282,630,503,282,800,501,800,800,503,500,800,667,504,649,649,800,800,16,353,500,503,16,800,649,755,502,800,503,293,503,500,501,503,503,504,967,501,503,503,500,800,16,502,500,503,502,501,894,500,502,929,282,16,502,318,500,500,649,501,649,649,282,502,500,501,502,649,891,16,639,500,649,800,503,800,16,502,501,282,502,500,649,501,503,282,257,800,502,649,649,502,503,800,960,502,500,954,500,800,800,504,501,649,503,649,500,315,666,800,282,436,800,649,503,282,282,503,500,500,503,824,503,500,282,502,502,503,501,500,282,800,500,649,299,501,649,500,500,500,800,412,503,503,503,649,800,500,178,500,282,501,502,800,80,500,501,502,500,282,800,651,937,800,501,501,800,504,538,649,649,502,503,503,375,83,781,800,800,16,502,282,649,649,649,800,649,500,800,504,503,282,649,712,142,500,800,800,502,503,500,501,503,502,380,800,282,501,502,273,16,909,502,503,649,800,512,800,800,649,649,146,503,649,649,500,800,503,503,503,603,500,501,404,500,800,201,800,501,501,502,500,282,649,649,500,649,500,800,282,502,800,501,503,500,282,800,503,501,502,649,503,503,649,501,107,502,501,503,501,502,649,103,101,501,503,503,337,501,502,649,500,16,503,282,500,501,282,501,500,500,800,500,500,649,501,800,649,800,500,649,107,6,480,649,828,654,90,649,501,800,502,849,282,504,282,546,500,800,415,649,501,649,501,800,501,502,385,649,696,503,503,500,500,107,500,502,134,501,649,624,10,39,649,800,800,502,503,502,502,500,103,500,16,502,503,502,16,321,811,649,502,502,800,16,800,501,501,282,649,800,649,500,500,103,502,503,501,649,502,353,282,504,790,502,444,649,501,800,500,800,500,502,649,500,503,330,501,301,800,670,500,103,503,680,282,799,501,503,502,500,649,502,501,503,361,649,649,501,501,502,649,502,649,649,500,649,503,501,500,503,649,649,501,800,503,502,503,500,649,501,800,282,800,282,500,500,800,282,800,502,503,503,501,502,502,800,800,500,502,502,501,501,501,502,800,503,501,501,282,503,501,979,800,16,500,107,501,800,503,68,500,503,649,501,500,503,502,503,501,649,634,677,163,344,56,649,800,282,502,503,282,331,282,800,501,947,649,605,501,503,16,649,503,16,299,649,504,500,502,800,282,800,966,282,503,503,501,800,500,282,501,503,16,504,282,649,502,501,500,649,502,503,107,800,321,649,649,501,800,502,503,500,649,16,236,800,141,502,649,800,500,649,629,500,649,501,800,649,503,927,800,309,501,395,500,16,282,500,282,503,500,503,502,500,107,649,649,16,282,847,503,800,503,503,649,282,503,501,500,504,500,800,501,649,800,500,502,502,502,649,649,800,649,502,800,502,500,503,502,502,503,503,503,502,503,800,500,282,282,503,503,503,500,821,967,800,578,649,649,501,800,500,282,281,500,503,500,598,500,503,503,501,767,800,502,800,502,501,16,649,649,800,998,16,800,501,649,265,502,500,800,821,800,649,972,501,503,800,503,722,500,504,800,502,500,800,503,800,800,501,282,502,500,502,873,928,501,503,503,503,500,501,800,16,503,649,973,394,282,800,20,800,289,649,501,500,501,502,503,175,282,502,502,503,657,503,649,502,503,501,649,649,500,649,800,800,502,500,503,55,503,607,503,504,500,503,503,282,502,504,500,500,193,500,649,800,282,502,986,649,503,649,503,649,797,503,649,649,502,800,500,282,501,649,136,502,504,800,500,502,500,649,500,103,649,282,501,869,282,423,500,800,800,502,800,738,800,282,503,501,503,800,500,107,282,800,649,503,503,456,800,545,501,163,53,501,800,282,774,649,282,282,500,503,501,503,502,503,800,335,800,500,501,282,502,500,649,502,503,16,501,95,282,501,282,503,503,282,503,502,501,503,800,800,368,649,502,503,649,800,802,503,800,282,649,500,502,800,502,649,503,503,502,500,500,503,500,500,869,800,800,649,500,500,649,501,501,649,649,503,1000,502,649,649,800,800,649,502,282,800,800,502,502,502,800,282,16,502,800,649,807,282,502,500,649,501,387,503,501,502,746,282,282,501,345,502,501,103,753,107,500,649,800,503,800,500,504,649,940,502,800,502,503,502,800,502,282,501,107,501,649,500,49,500,800,500,503,424,649,578,649,503,282,800,649,649,501,107,282,502,91,501,282,393,218,800,500,800,500,502,649,503,649,16,785,800,503,502,649,503,800,649,503,185,500,500,800,500,744,501,282,282,501,503,800,649,500,800,503,500,501,501,502,649,16,649,800,501,649,500,501,282,282,649,500,103,500,501,800,502,16,800,559,500,503,649,503,500,502,800,282,807,500,888,800,649,502,16,649,500,567,16,800,720,503,500,956,800,800,502,107,270,502,501,800,500,502,501,282,501,501,800,649,835,994,503,201,16,282,502,503,800,649,800,500,649,649,282,347,194,501,500,800,163,501,502,502,97,649,16,500,91,800,800,503,649,282,649,800,335,502,484,649,649,501,501,552,564,561,961,500,500,500,502,500,800,502,503,649,649,591,327,282,500,800,800,800,282,501,282,502,800,500,501,502,502,16,501,512,16,500,16,602,500,649,282,800,500,800,500,800,503,503,503,501,552,502,500,501,500,500,501,807,503,503,500,800,500,759,231,194,502,500,503,513,282,51,649,800,501,649,800,800,502,502,649,800,500,502,502,500,503,800,500,503,502,16,501,791,836,649,649,501,503,800,282,503,800,167,800,503,800,282,503,752,503,800,500,29,503,502,503,649,800,503,16,744,500,502,500,800,282,503,4,503,501,501,503,501,501,503,501,500,282,690,649,504,649,502,502,800,502,504,800,501,502,502,282,282,617,800,570,987,16,800,503,503,501,501,501,502,641,502,800,502,282,800,503,282,246,502,503,649,502,649,649,502,503,503,800,501,750,16,16,927,649,649,502,16,800,501,502,503,501,503,503,800,502,502,252,43,649,504,504,978,296,501,503,16,501,503,800,16,502,500,500,16,503,649,649,800,501,501,800,502,800,501,501,800,500,502,800,502,502,649,800,502,502,500,282,800,501,649,807,800,282,500,502,502,16,339,503,500,503,800,502,501,282,500,500,503,107,501,503,503,183,500,16,501,16,800,503,800,649,800,500,501,502,800,103,649,502,465,16,500,500,16,649,500,502,709,502,485,503,502,500,800,501,649,2,649,282,649,16,649,503,282,16,501,501,282,296,502,800,282,640,502,503,502,649,649,188,500,649,501,503,502,751,502,649,503,107,282,501,500,800,502,502,800,800,915,502,503,282,800,800,502,501,503,745,649,503,649,501,502,649,800,500,502,800,500,800,800,282,800,500,649,800,649,649,800,503,649,904,500,501,503,500,16,502,749,282,503,800,83,567,501,649,649,501,282,282,107,282,502,501,800,649,501,649,502,501,501,500,125,282,649,282,800,649,501,500,800,503,503,501,500,103,16,282,800,503,88,800,502,345,503,800,502,501,800,502,282,500,500,591,500,501,550,501,501,503,649,502,503,501,800,282,157,503,800,500,503,502,282,640,502,282,31,502,76,800,501,973,649,502,16,502,500,503,500,503,503,500,282,502,500,503,282,502,498,500,503,649,22,649,503,649,501,500,503,800,649,502,800,500,503,800,502,500,649,800,282,501,503,800,873,649,282,503,503,573,501,503,649,500,282,16,503,270,800,649,107,156,500,502,800,45,654,800,949,800,800,282,649,800,282,800,649,500,800,502,502,282,501,800,780,282,500,503,231,819,500,503,800,501,649,974,502,500,800,289,649,705,500,501,501,649,500,282,800,503,500,503,501,282,800,500,649,503,282,649,763,282,503,500,282,103,501,500,649,16,501,178,501,500,502,503,500,500,749,501,502,800,503,282,500,282,800,502,282,649,649,503,16,503,800,502,649,502,502,500,502,282,501,502,500,282,649,501,649,354,42,503,649,500,500,800,501,501,504,500,500,500,114,501,649,649,501,500,800,649,501,800,502,206,800,503,16,5,82,649,649,500,502,16,649,218,502,500,502,502,649,749,501,500,800,503,503,519,502,502,649,500,502,649,612,800,502,502,500,16,705,501,501,282,800,16,503,627,614,282,503,649,500,503,502,800,282,800,649,800,503,637,282,649,282,736,649,461,676,282,352,408,503,800,282,500,503,853,511,501,500,502,649,502,66,501,504,501,282,633,501,800,503,500,503,16,282,800,501,649,503,503,282,504,282,571,501,800,649,503,501,16,500,649,500,527,282,500,502,800,501,800,649,502,501,748,649,503,502,948,155,800,501,800,502,800,501,859,503,500,282,502,500,282,501,504,501,860,502,502,222,282,649,800,267,269,500,800,800,500,88,502,502,500,504,501,500,649,503,500,672,503,500,503,649,501,800,503,500,500,500,649,500,503,800,502,343,503,800,502,800,649,500,500,282,800,282,649,904,800,504,503,503,503,500,502,502,503,16,501,504,431,501,502,501,503,649,800,501,501,354,500,500,501,649,800,502,487,800,503,503,145,503,800,649,500,501,503,500,501,800,501,500,500,242,502,501,800,282,282,649,217,503,900,985,500,800,500,282,800,501,500,500,503,649,502,649,800,755,421,501,714,107,800,16,502,282,503,800,444,500,502,500,800,800,649,107,399,500,282,503,500,502,460,501,649,649,649,501,77,502,276,501,649,503,501,501,500,500,501,282,501,501,16,800,649,911,501,500,501,107,800,501,500,177,503,282,800,282,282,649,503,503,800,107,503,503,16,500,501,500,521,500,649,800,503,469,501,649,502,502,46,800,503,503,502,503,502,649,501,649,503,573,504,502,997,222,502,103,800,502,649,503,282,282,649,500,500,501,965,501,500,500,800,649,20,282,282,107,500,649,800,502,254,649,503,500,13,502,649,501,282,501,501,649,503,503,50,500,800,887,103,501,103,800,416,502,503,501,502,649,800,503,800,500,503,500,649,649,191,358,800,503,214,282,503,501,503,649,649,501,800,502,800,524,649,800,337,503,503,649,500,500,800,500,502,649,800,500,800,503,500,502,649,649,649,500,502,503,649,501,134,501,502,501,103,503,475,502,500,500,800,502,282,800,502,800,503,800,649,502,503,649,500,500,500,502,649,501,16,501,502,800,503,500,800,910,502,500,502,282,282,503,649,649,800,503,282,503,800,800,503,501,544,500,501,502,649,502,800,602,649,477,649,503,503,500,500,503,500,503,922,504,500,649,649,649,503,16,501,282,705,504,800,500,800,649,500,800,649,61,800,835,502,503,502,85,503,800,502,800,500,502,800,112,500,503,800,501,800,502,282,649,800,16,501,500,502,23,911,705,649,649,500,502,501,500,501,649,500,673,649,228,200,800,503,649,501,503,500,503,500,501,800,649,502,800,500,649,501,375,947,649,502,288,649,649,502,501,40,16,502,800,649,800,501,282,800,500,502,501,607,649,503,800,800,502,222,800,502,948,500,649,501,501,500,649,282,502,503,501,500,282,500,800,800,662,503,932,500,501,800,500,502,500,66,16,245,649,500,282,501,502,800,800,705,500,649,503,501,502,437,503,649,502,649,800,502,400,649,649,500,501,677,501,264,649,325,800,506,501,103,500,501,502,503,800,500,800,500,103,100,107,502,800,649,800,500,501,649,649,502,282,66,503,75,500,228,800,503,800,501,918,503,959,649,800,107,282,800,502,501,282,649,501,502,502,800,503,503,800,502,282,503,800,832,502,800,360,649,282,501,800,107,504,500,501,503,800,282,503,502,649,503,500,800,503,649,800,800,502,700,282,800,500,503,800,800,500,503,282,500,800,649,412,502,503,501,502,500,282,503,649,500,16,501,503,561,500,282,502,500,800,649,282,649,502,503,500,500,503,650,502,212,282,649,800,503,502,502,649,800,932,501,503,500,502,516,17,649,500,649,649,16,107,649,504,501,282,502,649,649,504,500,501,502,502,500,503,800,800,911,504,502,302,501,500,503,282,503,282,800,502,502,800,504,502,503,851,502,503,459,501,649,209,500,649,649,800,500,503,800,501,649,503,800,800,501,732,501,107,649,503,132,282,500,500,649,282,503,500,800,450,502,800,800,502,501,800,501,800,800,800,813,668,800,800,501,503,503,649,924,503,16,502,221,502,500,649,502,800,501,501,501,500,649,502,800,503,800,502,649,282,500,503,500,502,500,502,16,501,501,649,500,501,503,503,500,107,502,800,649,503,502,649,705,649,501,501,502,502,502,502,502,501,500,503,500,366,800,649,985,583,504,500,800,503,82,500,800,649,649,502,649,500,800,649,361,503,502,501,41,503,649,16,282,282,16,800,500,503,103,649,500,502,800,500,502,800,500,649,800,800,503,800,500,500,649,800,500,800,800,282,282,503,800,501,503,501,815,503,503,517,500,649,649,500,502,500,500,800,649,501,16,451,500,282,502,800,502,502,649,800,500,500,503,503,16,800,501,502,501,503,100,502,649,503,504,107,501,501,500,500,501,649,503,504,223,282,500,503,502,498,282,526,502,502,800,649,542,501,649,508,800,501,500,502,503,649,502,503,649,502,503,503,649,503,282,500,503,728,800,502,500,503,500,282,500,501,503,649,649,649,865,649,649,501,282,800,282,500,502,16,16,501,800,148,282,282,500,649,16,502,649,501,282,800,649,293,981,282,503,502,502,503,282,399,501,282,500,992,282,502,503,800,502,503,800,918,501,502,502,800,800,502,149,467,133,705,500,500,649,656,503,282,503,500,500,800,649,502,501,500,303,649,503,501,807,502,500,504,649,503,649,942,503,560,29,430,108,800,649,649,501,501,503,500,501,501,500,503,81,800,501,500,503,500,501,500,501,16,501,500,503,649,501,800,800,624,649,456,649,500,649,800,649,800,502,502,25,500,649,501,282,117,501,800,772,800,502,500,504,16,503,500,649,649,503,282,500,16,16,28,503,502,502,800,503,501,649,649,503,800,915,117,453,501,500,502,649,800,282,500,501,686,500,800,141,16,501,649,501,649,103,649,500,501,502,500,500,649,16,500,800,503,500,170,502,502,282,502,308,649,724,282,649,800,502,16,501,502,501,503,502,500,649,502,503,503,282,44,503,502,503,65,500,501,378,501,282,500,282,503,500,502,502,282,282,503,282,290,649,500,503,501,649,425,649,282,649,880,503,800,500,500,500,649,649,800,282,649,649,649,500,800,501,503,501,502,282,503,649,501,502,649,821,576,501,705,282,114,502,649,16,649,282,411,503,503,603,282,502,500,501,502,800,752,800,259,501,800,503,282,16,500,503,502,597,67,162,503,282,16,402,707,501,501,800,282,649,503,282,16,282,649,649,502,501,282,500,982,649,500,427,503,527,500,800,503,503,649,501,501,500,16,503,503,501,503,503,649,503,545,503,502,502,501,705,503,500,282,502,502,246,649,501,426,503,500,282,503,800,282,501,500,649,500,800,214,502,502,501,936,502,649,501,800,649,800,500,649,503,282,502,502,502,560,501,90,503,649,502,81,501,800,800,282,504,502,503,725,649,501,532,503,502,502,993,99,500,522,502,503,62,324,501,649,649,649,282,501,4,282,502,501,377,649,502,500,649,503,503,500,649,504,800,649,503,282,501,502,500,502,649,649,502,503,649,503,282,282,800,502,500,461,649,649,503,502,649,282,502,501,504,503,910,500,649,501,500,282,649,336,649,254,649,56,502,500,800,800,800,500,649,986,503,282,649,500,443,500,800,501,16,500,282,649,503,282,800,502,800,649,502,282,779,501,500,800,800,500,503,282,649,503,500,502,649,800,649,649,500,800,282,503,800,502,502,649,454,649,800,800,688,649,758,501,615,800,501,502,500,800,504,500,503,649,501,800,504,800,502,191,638,282,501,503,315,102,649,800,649,504,500,800,649,500,649,500,502,502,500,503,503,500,500,540,501,303,503,502,542,649,148,501,16,503,800,503,500,501,502,501,500,502,502,500,503,639,503,649,503,501,502,500,800,500,501,501,502,849,800,500,503,800,800,502,501,501,501,800,501,649,107,500,649,807,800,502,500,502,88,649,800,16,762,853,157,500,24,501,800,502,971,501,800,502,800,502,51,800,649,501,470,501,800,503,282,502,282,282,800,501,501,800,503,103,75,501,502,502,503,800,800,649,502,503,503,503,282,501,800,800,501,800,504,500,800,282,503,282,501,501,282,502,800,500,591,501,503,501,501,501,501,800,16,649,503,800,800,107,107,849,502,649,501,800,800,800,500,158,282,282,649,282,500,501,800,800,503,503,501,649,680,282,649,502,649,800,502,282,800,205,501,501,501,503,16,500,800,282,800,501,175,501,508,770,649,443,16,502,649,628,800,649,502,800,800,649,502,800,502,500,502,500,502,500,503,503,800,501,16,501,503,500,800,16,502,282,800,501,502,500,501,686,501,777,451,503,500,498,501,649,502,503,329,649,800,503,504,503,500,282,800,687,282,649,503,282,500,16,503,282,500,500,502,107,800,563,649,975,503,800,502,282,502,503,502,282,502,282,649,501,16,155,502,800,500,800,502,800,800,502,649,501,503,800,800,503,293,649,800,501,288,97,800,282,502,649,800,937,502,502,501,649,800,282,649,500,502,501,800,800,502,500,502,504,282,501,500,502,500,800,503,800,500,649,649,501,501,502,502,502,501,503,203,282,800,501,501,503,502,649,504,502,571,500,649,800,502,502,503,503,502,649,16,503,800,502,1,800,502,671,688,504,649,282,500,594,501,16,649,649,501,504,501,649,37,501,800,501,467,282,282,501,502,502,502,649,502,649,501,649,800,502,500,107,800,500,952,692,503,649,800,800,501,504,500,500,502,800,500,502,501,503,500,502,502,501,501,705,649,649,649,649,502,501,282,500,502,806,500,501,649,504,502,501,649,503,502,500,500,282,282,800,502,500,800,500,764,800,800,500,800,503,282,800,502,500,502,503,649,669,501,503,800,502,503,503,16,649,282,649,159,500,502,30,649,232,800,502,649,501,502,500,649,501,502,649,500,649,501,502,800,800,502,501,649,500,500,649,502,502,502,503,800,861,649,501,502,501,649,649,502,282,503,554,408,282,16,500,500,504,337,637,389,503,649,501,502,649,649,501,649,502,649,800,824,500,501,425,502,800,500,501,800,154,503,501,501,800,502,800,500,502,574,501,649,649,107,503,501,503,649,501,502,500,649,649,500,503,590,502,649,502,16,800,72,501,461,500,800,649,502,800,503,800,503,501,16,800,502,500,282,649,501,503,884,501,649,800,502,151,503,501,16,321,649,282,503,800,502,744,501,649,502,502,500,503,502,501,800,649,649,236,103,800,500,501,502,503,501,649,247,282,500,503,502,800,282,562,649,649,795,504,649,503,501,800,800,502,501,800,501,107,282,282,449,501,800,501,800,500,649,649,649,500,628,125,941,282,800,500,502,501,649,504,800,501,649,503,72,502,800,501,503,502,501,107,282,500,502,649,209,649,800,649,501,502,649,991,800,501,969,649,500,503,500,501,800,503,16,501,649,502,500,503,501,159,502,800,500,800,649,649,501,503,800,501,800,649,503,31,500,503,819,800,501,502,800,458,282,282,744,800,503,739,500,502,800,800,939,503,500,504,502,800,649,503,282,800,800,500,649,500,839,909,282,800,135,649,502,800,606,502,502,359,103,500,511,649,502,800,501,501,502,503,16,649,504,282,501,649,504,282,504,242,502,500,501,503,502,502,501,800,503,16,502,502,501,800,503,337,800,503,70,501,16,16,501,202,504,503,503,649,502,503,972,800,502,907,501,501,501,282,282,800,502,800,501,16,649,502,649,503,502,503,16,748,841,16,502,502,502,282,500,255,800,500,800,800,800,649,501,501,534,112,501,502,501,649,800,800,501,503,500,450,500,502,501,800,500,500,800,800,501,500,504,631,502,500,504,302,800,282,459,140,502,503,107,501,502,16,502,501,501,502,501,503,817,346,504,639,649,501,649,649,649,501,800,503,500,16,800,502,800,502,502,800,500,16,752,502,649,502,649,500,502,649,741,501,728,501,500,503,282,503,500,523,501,855,504,502,501,504,436,282,501,16,503,800,501,503,800,500,501,649,600,503,503,503,800,800,800,40,649,500,503,857,500,502,502,597,282,503,500,501,502,16,800,503,649,800,500,503,800,501,649,43,504,800,800,503,281,16,502,503,501,649,503,500,800,500,649,800,501,81,503,502,800,868,500,800,800,503,500,500,649,500,501,501,502,501,282,649,128,800,807,800,501,213,503,502,500,675,649,501,800,503,502,800,548,103,502,501,282,845,500,502,502,503,502,501,501,649,502,655,502,649,502,500,501,482,502,503,16,649,501,503,344,649,502,649,502,282,502,649,16,282,501,503,500,584,502,501,800,649,800,649,649,800,949,500,500,500,649,502,502,501,649,649,649,501,800,503,350,500,228,502,446,502,504,649,502,16,800,503,501,282,502,129,500,800,503,500,502,649,500,496,16,649,503,500,282,500,187,502,649,800,501,16,800,502,16,800,649,501,493,500,501,500,16,502,500,502,800,637,501,503,500,800,800,536,500,502,500,503,649,231,503,503,282,501,649,649,800,500,800,649,502,800,282,503,767,649,502,501,649,808,502,649,500,502,107,805,500,282,107,502,503,649,502,502,649,503,503,16,500,501,649,800,502,502,500,282,500,800,504,649,800,800,501,503,501,500,800,800,800,282,484,282,502,705,500,282,502,16,282,835,501,501,282,649,48,16,800,502,501,501,800,800,503,807,502,282,649,502,502,693,800,664,428,501,501,502,503,649,649,800,503,503,21,649,282,800,800,120,800,502,503,503,16,649,649,16,500,800,503,503,503,503,800,503,282,503,500,500,502,501,500,502,212,800,503,800,649,500,800,800,649,282,400,500,649,509,282,501,500,500,649,500,504,503,649,282,16,503,502,502,503,503,649,500,800,963,800,282,502,500,800,800,800,282,649,502,282,500,503,282,500,231,649,502,800,800,649,503,868,502,501,892,916,649,503,615,502,500,503,282,503,107,500,155,501,16,504,504,500,649,649,649,282,503,501,887,16,282,500,500,888,501,502,651,503,500,502,649,502,501,800,800,649,503,649,502,513,649,649,800,107,500,397,649,502,502,504,500,16,502,800,500,501,501,500,502,502,531,501,500,501,503,502,502,649,503,186,501,800,282,800,649,649,501,500,800,503,800,16,503,503,107,129,500,800,800,800,282,800,282,504,711,500,282,501,282,500,500,503,16,501,500,594,500,282,496,800,503,800,800,501,500,16,502,56,503,649,103,145,502,649,282,649,927,500,633,16,502,500,500,501,503,16,502,800,649,503,282,705,500,500,800,649,649,502,158,302,500,800,16,502,649,800,800,501,502,501,501,16,649,504,502,800,502,806,827,501,751,649,591,502,503,500,107,113,649,503,502,16,502,800,644,501,800,282,502,500,16,502,501,649,16,649,501,16,503,800,103,282,502,800,649,502,282,504,503,85,16,501,500,503,501,649,800,500,270,649,502,282,800,282,649,800,325,503,503,789,502,502,503,649,500,649,503,676,800,800,501,649,501,501,649,503,831,800,800,16,649,800,800,503,282,502,282,500,649,502,500,503,16,503,501,502,282,501,282,649,908,501,800,800,282,500,649,502,502,220,282,500,649,649,504,192,504,502,500,615,500,503,282,110,502,500,503,649,282,503,501,501,501,730,800,16,209,502,501,502,502,503,501,800,503,503,500,502,16,649,500,503,501,503,16,501,649,649,800,848,502,501,649,500,502,500,501,501,504,800,16,1,649,504,502,500,549,501,800,800,501,649,501,16,16,649,501,502,200,502,502,500,875,576,502,800,500,503,800,649,502,503,800,502,800,504,800,502,501,16,800,159,326,502,501,501,503,800,502,649,800,502,649,649,503,503,500,500,503,649,387,738,501,800,503,503,501,908,503,985,504,649,502,500,358,500,800,501,502,649,800,501,500,800,503,502,500,11,500,503,152,501,501,800,500,400,800,649,500,502,282,649,501,500,649,16,504,800,500,331,87,282,503,503,502,282,500,649,503,504,503,501,649,16,103,649,502,502,800,500,242,503,501,502,130,500,800,500,501,800,282,501,269,649,725,500,800,540,649,501,16,500,239,501,756,649,503,649,502,500,282,500,800,503,340,649,504,16,503,502,282,502,500,800,649,501,282,649,282,500,539,16,503,360,975,693,500,502,522,503,260,500,500,719,74,282,75,502,282,141,800,503,503,503,649,649,649,502,649,16,16,501,500,503,502,503,282,504,502,649,202,649,615,649,500,282,596,501,500,282,503,649,502,503,500,649,800,16,503,800,502,649,800,500,282,501,500,800,502,500,503,800,47,649,626,502,800,503,501,104,16,282,500,503,501,500,800,702,800,800,500,502,500,649,501,500,502,282,501,14,503,649,503,649,501,503,502,649,649,502,502,500,800,486,800,502,649,983,501,313,432,282,764,504,502,649,500,502,649,501,16,649,502,501,503,503,649,502,518,282,649,504,649,282,800,504,649,500,502,500,501,16,503,800,502,502,189,649,503,800,504,503,502,16,800,282,649,282,800,282,46,501,502,502,501,800,503,800,501,126,503,502,669,649,503,649,649,617,800,18,503,500,649,16,107,800,16,503,501,282,800,800,352,800,501,800,800,502,800,503,282,16,674,503,501,649,500,503,282,500,503,282,502,500,282,501,649,800,502,502,649,503,502,500,500,503,282,503,502,800,500,998,282,649,502,293,282,500,503,649,649,502,502,16,649,282,503,500,800,649,501,501,501,800,501,705,501,504,504,893,501,649,951,503,503,800,640,500,503,500,501,649,501,501,127,282,649,800,502,502,800,325,503,282,282,16,16,800,500,500,500,800,500,649,649,503,649,501,500,282,686,16,501,46,306,800,330,502,649,16,649,502,649,282,649,503,282,800,514,503,502,501,502,502,501,504,800,800,500,500,800,502,282,501,800,502,504,503,800,649,15,502,800,800,501,603,500,649,800,501,502,502,219,501,500,282,800,282,502,396,502,282,800,501,482,649,810,800,649,269,300,800,503,16,800,503,773,500,503,568,502,500,649,16,800,649,504,282,500,500,503,649,502,800,649,502,282,16,282,501,503,502,376,649,500,800,501,501,800,923,800,649,800,501,500,894,504,510,282,649,282,282,452,16,503,800,490,649,500,282,503,503,501,800,800,436,800,502,988,501,493,502,649,502,649,847,649,501,503,968,649,502,649,500,107,800,606,500,502,502,502,502,649,501,800,107,800,500,800,800,500,800,649,502,282,502,649,503,649,649,501,501,649,501,107,503,649,503,282,503,500,800,500,502,282,502,724,502,800,502,501,800,800,282,100,751,463,500,503,503,282,800,502,500,103,501,503,282,16,502,503,553,501,500,16,800,500,500,502,16,800,649,282,649,649,500,502,282,800,800,212,367,502,664,503,500,501,811,800,452,501,500,501,800,649,502,510,649,425,800,800,503,16,89,282,800,500,503,503,282,500,503,562,800,649,649,503,502,500,649,500,282,504,503,500,800,452,501,852,649,649,502,103,501,501,501,501,107,16,649,649,502,107,500,501,649,638,500,503,503,503,649,502,16,501,502,800,503,649,169,335,765,500,503,500,205,503,282,282,64,503,649,727,874,103,500,51,649,800,649,800,107,541,800,501,501,501,247,649,502,649,649,500,503,501,501,502,282,500,800,501,500,502,800,501,373,502,837,800,800,16,500,503,927,649,800,500,282,800,16,800,282,502,995,501,800,500,649,649,502,503,256,649,502,222,500,649,502,395,500,702,502,500,500,502,282,649,649,500,649,800,500,16,800,501,649,649,800,16,800,800,500,502,402,500,502,649,649,16,649,800,501,322,649,16,500,800,649,103,500,503,800,501,501,503,500,500,502,502,500,501,282,649,113,502,503,800,294,501,660,649,503,800,16,282,500,800,502,502,503,501,800,502,800,319,502,500,502,649,500,649,800,649,504,501,502,649,701,649,16,175,503,502,649,502,282,501,500,800,503,503,503,732,500,282,521,749,800,503,501,503,905,649,502,649,649,649,503,343,502,500,107,501,503,163,746,500,502,502,282,504,800,649,500,16,16,649,649,500,282,500,649,503,816,800,502,649,800,502,282,504,500,649,503,788,649,500,282,502,502,800,800,503,16,282,649,282,800,649,501,502,800,800,502,502,503,478,826,648,16,501,800,800,501,613,800,503,501,502,800,649,979,500,649,501,800,500,649,282,503,503,649,800,649,800,105,503,503,800,500,501,649,502,501,503,500,519,472,502,800,501,16,503,503,501,500,501,853,800,500,501,649,800,502,800,90,16,649,503,502,282,800,502,282,502,16,501,502,503,500,502,501,503,501,520,800,649,649,800,503,500,500,502,649,545,501,800,502,501,965,501,500,502,107,500,800,500,500,649,500,500,107,502,500,800,649,501,500,502,512,501,800,501,502,649,501,282,597,502,503,282,501,649,503,503,800,282,282,500,500,649,227,282,500,502,500,771,502,997,503,282,501,501,800,282,16,502,800,500,282,16,685,649,282,504,16,800,282,282,502,103,282,503,500,501,501,931,504,649,504,500,501,500,800,649,500,502,501,502,679,502,254,503,581,501,500,649,649,649,800,649,502,500,502,393,502,502,649,917,107,502,179,705,503,800,282,501,502,649,500,282,928,800,649,676,501,282,844,500,503,282,649,649,504,500,503,502,93,649,502,649,107,501,501,500,282,649,652,501,501,504,502,297,500,502,500,800,500,93,501,845,500,502,16,501,500,800,502,282,500,501,141,504,800,649,282,502,982,649,500,800,282,502,501,649,502,771,503,800,501,500,649,503,800,571,500,649,500,800,500,500,503,501,800,13,649,282,504,502,800,412,163,282,502,502,800,500,649,501,800,16,501,500,503,282,16,501,825,503,503,500,800,755,501,282,503,800,282,503,282,501,959,800,500,282,649,502,800,502,502,282,800,503,503,282,800,500,503,800,502,500,714,800,503,649,290,501,503,502,502,501,501,502,834,816,282,649,649,871,500,649,282,501,649,502,500,502,16,500,501,502,501,502,705,502,503,107,800,282,502,502,649,800,504,649,649,800,800,800,502,800,502,400,502,137,501,500,649,282,503,182,95,16,282,649,800,800,103,649,501,501,501,500,649,649,503,502,800,501,649,503,503,503,503,271,800,107,649,800,504,800,649,501,401,673,282,502,381,504,502,500,282,503,502,501,800,800,800,144,504,501,649,500,501,183,503,649,503,840,282,669,501,48,222,107,649,649,32,800,282,502,501,500,649,501,800,503,501,504,503,502,501,501,500,16,501,503,649,500,282,649,649,649,500,800,503,16,500,752,501,500,800,500,282,800,503,502,705,800,503,800,501,800,503,644,282,649,501,502,793,649,800,649,531,500,649,649,501,502,335,107,649,800,500,503,649,16,103,649,501,501,503,16,500,529,800,501,500,503,501,282,525,503,206,719,649,503,502,543,500,503,502,282,500,282,501,502,800,500,500,500,503,501,649,666,16,800,503,16,503,770,121,194,502,503,502,800,800,501,649,502,503,502,500,502,502,800,503,501,502,282,649,501,649,313,501,807,800,649,800,503,800,501,649,649,800,502,502,500,606,504,649,282,538,500,502,707,807,16,503,649,503,502,800,500,100,282,121,500,503,649,800,502,609,959,649,800,537,501,800,502,649,502,445,649,500,503,800,501,282,470,501,544,103,502,800,800,306,800,800,501,502,649,501,800,800,643,649,501,500,886,501,282,180,282,502,503,500,282,501,800,503,500,800,800,502,503,500,800,500,503,500,504,500,800,500,503,787,666,800,800,649,649,500,800,503,500,649,649,502,88,800,936,16,503,502,649,502,347,501,800,649,800,282,857,107,800,649,502,501,649,504,16,16,282,503,649,282,500,503,100,501,649,503,107,503,502,649,800,503,500,500,500,800,16,649,500,885,649,649,333,503,501,16,16,800,500,503,503,502,200,501,500,503,800,119,902,502,649,502,500,502,800,501,500,282,503,282,501,800,282,501,500,800,800,502,503,649,649,502,800,16,503,503,500,491,649,59,800,502,500,143,800,503,500,500,704,502,800,501,800,142,500,16,107,813,501,503,503,502,282,282,503,503,800,800,649,500,503,500,501,649,500,682,800,503,649,282,781,500,501,501,503,504,649,19,501,500,649,649,16,649,502,800,500,649,501,293,500,836,501,502,503,502,503,800,605,800,800,503,501,334,500,910,801,501,800,501,103,282,649,16,501,500,503,966,649,501,503,16,501,649,16,649,501,649,500,503,800,500,800,501,502,649,650,407,649,501,502,649,800,501,800,800,504,503,500,649,501,500,649,501,649,649,500,16,503,502,503,959,800,503,205,503,502,282,503,16,800,501,503,502,282,500,502,503,649,500,501,649,490,503,502,503,649,649,141,282,282,649,503,501,282,291,502,800,800,800,501,836,103,501,503,800,502,502,503,500,500,502,500,636,649,282,502,16,503,501,16,503,282,649,503,17,800,504,800,503,502,501,502,943,501,800,854,502,16,800,350,800,501,500,649,282,501,800,502,500,282,395,649,800,503,504,649,800,649,500,501,503,800,800,501,248,16,282,282,502,800,226,800,800,500,503,282,649,500,16,501,500,576,649,107,502,500,282,503,310,503,503,649,800,16,501,800,501,500,503,501,458,800,282,16,649,282,502,800,822,501,317,502,500,649,800,503,500,800,502,649,501,503,649,501,500,282,502,500,649,853,502,800,800,649,503,649,502,500,500,800,503,503,500,501,649,649,500,800,500,503,500,504,4,501,501,895,500,500,503,502,503,966,16,500,503,282,501,800,282,800,501,501,502,291,500,800,500,442,800,649,282,500,502,501,494,502,501,502,501,225,800,503,800,502,501,800,500,285,16,800,503,649,501,398,500,649,452,515,500,503,282,501,800,503,500,502,282,503,500,874,282,649,501,500,649,501,500,501,502,323,502,16,501,649,501,800,282,503,500,501,800,501,649,503,649,503,649,649,282,800,502,282,649,655,800,501,501,649,502,500,16,649,501,503,649,520,501,501,504,800,503,649,500,352,502,595,16,107,504,831,501,800,582,649,649,500,501,501,503,501,976,649,501,800,642,503,503,649,501,503,800,592,503,800,800,501,502,503,371,467,649,502,800,203,985,800,502,800,501,649,282,483,275,503,503,500,503,503,800,501,16,503,503,282,500,501,500,500,502,502,502,502,503,800,501,500,503,503,500,282,500,800,800,500,800,500,504,503,501,502,502,503,649,282,501,502,502,282,503,599,500,503,501,501,527,649,502,501,501,807,16,16,504,649,503,502,500,501,501,800,503,899,16,800,16,501,500,800,649,503,500,649,502,800,800,500,649,500,800,503,282,649,282,649,649,800,502,800,168,503,500,649,500,282,800,500,500,502,502,501,16,502,800,500,649,559,529,649,503,800,504,501,503,621,649,16,503,649,503,501,649,501,649,502,282,500,282,500,282,628,503,504,649,649,503,502,502,649,103,501,501,389,501,16,649,107,952,502,504,502,501,282,649,503,502,502,894,501,800,800,800,16,503,800,282,500,500,500,649,800,800,502,503,423,800,525,282,503,282,502,612,501,501,649,649,800,649,649,800,687,558,107,649,503,503,500,503,501,502,503,502,107,800,866,860,649,503,503,503,502,502,502,502,503,503,800,649,649,502,501,504,502,501,503,282,502,500,800,503,16,500,501,502,503,800,649,475,23,455,500,649,502,649,800,16,501,500,649,503,800,649,649,845,500,800,500,800,502,502,282,649,706,282,772,282,649,649,649,501,503,501,501,501,501,649,500,500,500,649,705,649,504,503,649,138,502,503,501,282,649,800,501,501,800,500,16,800,800,649,503,502,503,501,16,503,502,501,500,800,649,501,500,649,649,501,504,800,366,282,502,501,503,800,503,503,502,500,504,501,501,501,649,800,16,500,504,649,500,282,501,649,649,502,500,502,502,504,649,800,649,858,502,502,800,649,800,502,502,501,932,282,500,800,649,282,503,501,256,789,502,299,100,501,962,501,501,503,649,500,649,888,501,282,504,649,501,800,705,649,649,800,545,503,501,649,800,503,800,501,800,649,500,800,800,500,800,500,800,503,800,502,649,800,501,749,503,859,324,500,501,282,502,500,800,500,282,800,500,257,800,800,800,122,501,501,503,501,649,765,649,700,649,503,502,282,649,649,502,16,503,501,800,501,800,800,649,503,800,649,500,88,500,502,649,555,649,501,800,649,502,44,500,503,649,502,800,649,502,501,800,800,786,250,800,503,501,649,501,282,502,649,16,282,503,502,501,502,500,416,301,800,596,503,649,800,649,512,500,282,75,502,501,502,649,799,502,649,649,649,503,649,200,282,233,282,800,501,546,131,649,800,800,500,501,649,502,503,502,800,502,501,500,502,649,503,757,438,800,502,800,500,673,9,16,494,800,500,965,800,502,282,649,500,503,501,502,503,500,666,282,800,501,800,241,507,500,501,503,500,502,501,800,16,502,500,16,800,282,778,649,16,503,501,503,503,500,500,500,800,282,501,282,500,800,500,264,501,503,503,649,649,649,359,503,501,130,500,46,256,501,282,384,503,502,501,649,649,503,500,456,649,500,502,282,649,337,500,800,649,498,636,501,500,502,503,282,503,800,649,800,800,800,500,649,62,649,16,503,502,278,502,504,500,24,503,501,649,502,502,488,503,16,800,500,282,503,800,502,800,649,800,502,282,548,500,800,807,282,501,78,649,503,800,860,282,503,501,500,501,497,649,649,649,172,504,501,503,773,800,502,503,16,800,282,28,503,876,500,800,502,946,500,16,503,156,500,800,500,16,800,502,649,502,649,500,500,501,503,800,502,649,502,800,501,16,501,502,501,9,282,719,649,500,766,800,502,649,502,501,692,800,800,649,500,502,500,501,500,649,503,282,282,503,501,502,282,282,649,800,501,649,282,502,16,649,504,503,500,16,16,800,503,500,501,582,649,502,800,767,503,503,503,107,501,502,500,503,502,649,800,502,500,501,503,800,800,800,503,502,501,577,502,649,649,502,500,501,502,737,16,649,549,500,501,501,500,500,833,738,501,502,500,44,800,502,800,502,503,16,800,503,502,282,500,770,502,800,800,501,649,800,500,649,103,501,800,241,282,186,501,502,502,502,800,649,800,800,503,165,454,649,800,107,16,649,500,282,856,500,503,501,807,500,705,282,16,649,649,282,503,282,500,502,800,500,800,800,649,502,504,674,503,800,502,503,649,502,503,107,503,16,503,282,255,501,649,502,502,334,500,502,503,800,249,800,502,16,800,502,800,282,502,800,503,800,800,800,16,218,501,649,503,503,503,501,800,501,800,282,502,502,503,503,649,800,800,16,500,107,649,503,388,500,501,504,502,649,800,503,649,500,800,501,504,503,501,500,501,649,705,800,800,500,501,650,16,500,16,504,502,500,500,849,1000,502,503,649,16,503,503,503,800,500,503,800,649,501,649,503,649,502,502,800,500,770,649,500,479,800,649,500,649,503,660,649,501,800,800,649,800,114,500,503,800,502,503,649,502,501,282,502,800,501,501,800,800,972,500,282,503,501,503,7,435,501,503,107,800,649,501,120,503,503,303,501,502,649,800,649,500,503,800,500,381,503,501,502,503,649,649,500,501,308,502,501,502,649,649,649,800,503,282,502,502,500,267,649,800,502,649,282,798,348,503,500,800,501,502,501,800,649,500,649,383,282,649,503,936,504,282,503,571,800,503,282,734,502,502,100,800,282,500,549,500,503,502,503,282,503,501,16,16,501,448,649,502,503,501,501,649,503,800,649,800,501,649,649,649,501,800,503,849,282,16,167,501,115,649,503,500,800,649,705,502,502,501,282,503,282,502,211,500,576,501,649,500,503,63,800,282,503,649,503,103,800,649,501,500,18,501,800,649,800,800,800,500,502,800,649,502,500,501,500,503,800,500,800,164,501,502,502,282,501,309,459,502,649,503,500,500,503,103,649,500,503,649,906,553,649,800,649,502,500,500,16,920,800,16,503,501,103,807,800,502,502,501,501,501,500,800,504,502,649,502,185,501,500,107,500,800,501,800,502,503,500,649,800,649,500,501,501,16,503,488,649,282,502,16,593,500,502,649,790,315,282,800,800,502,800,282,649,502,502,800,502,502,800,503,491,501,503,503,503,705,502,800,503,500,800,649,282,501,554,479,502,502,282,503,502,503,503,649,500,500,500,649,800,800,649,502,689,282,501,501,282,500,502,501,500,475,500,501,594,649,107,500,501,800,649,16,282,800,503,503,800,800,502,811,649,649,490,282,800,500,502,282,501,502,503,503,503,525,792,502,800,500,800,502,501,649,661,501,502,103,282,503,502,503,500,634,500,503,694,500,502,501,500,501,501,501,649,500,502,502,501,500,166,800,502,500,501,282,500,649,503,502,107,502,649,500,649,800,503,503,502,649,500,649,649,503,800,500,649,649,503,501,282,501,282,800,800,774,501,502,16,282,705,503,500,500,503,503,503,503,649,501,507,800,502,282,649,644,500,503,649,502,503,501,501,912,500,30,16,107,500,800,500,502,800,500,649,500,722,649,237,649,649,649,500,649,107,500,103,501,501,500,906,501,503,800,249,502,649,502,503,319,649,503,501,428,800,502,649,282,800,504,282,282,800,807,500,501,502,800,503,389,501,500,502,800,501,649,649,649,500,649,282,503,501,501,503,502,649,649,16,502,649,800,502,649,500,503,502,501,502,502,800,500,503,503,503,502,800,500,501,107,501,649,501,500,502,800,503,501,502,76,800,649,649,649,800,502,503,649,282,168,270,800,501,16,107,500,649,502,800,873,503,502,649,312,502,502,93,501,327,649,502,16,800,502,649,800,503,501,502,503,107,649,181,501,500,500,500,891,859,16,500,800,107,501,500,16,503,501,586,502,800,800,800,800,502,502,501,649,800,16,800,902,501,282,282,501,498,502,840,502,800,504,16,502,503,800,489,500,282,800,501,501,501,142,502,500,502,800,90,800,103,649,502,282,500,501,502,501,501,501,500,503,500,649,502,500,503,501,501,500,502,60,503,649,500,503,124,16,553,800,649,762,500,800,800,504,649,501,800,800,503,503,501,537,500,503,502,863,500,918,502,944,649,649,502,9,885,503,282,800,500,800,649,177,503,501,502,800,503,649,500,282,649,502,800,284,649,500,500,381,500,503,501,704,502,500,649,501,649,282,282,501,282,500,878,649,504,107,501,503,649,800,570,649,107,649,482,502,503,107,500,282,500,347,649,501,503,503,502,649,649,500,645,282,503,920,502,800,317,500,501,800,800,800,503,705,800,503,800,500,502,500,800,502,501,16,501,502,500,649,649,763,500,282,500,273,649,500,500,500,502,16,629,282,500,500,800,502,502,500,16,649,649,800,501,800,502,500,649,282,800,502,501,501,649,503,503,800,502,649,504,649,798,213,501,649,649,282,649,503,501,619,500,501,184,125,501,501,649,282,502,16,649,503,800,427,649,282,649,501,264,316,649,282,501,800,503,500,503,501,424,501,503,649,501,282,536,501,503,282,649,502,504,500,649,503,282,501,502,282,504,282,502,800,502,800,800,282,327,649,865,503,500,500,800,800,649,502,501,649,500,500,282,503,502,503,502,800,16,282,649,800,800,810,649,649,800,749,800,676,503,525,800,649,800,500,649,500,16,800,800,504,800,500,282,500,649,500,500,649,502,86,503,502,377,649,504,503,500,800,501,282,505,503,502,503,503,502,896,501,500,503,649,502,500,500,503,502,649,338,800,891,503,282,503,500,16,800,501,501,923,649,649,501,282,503,800,16,282,965,501,649,800,168,504,800,282,282,308,649,266,736,282,997,503,945,502,627,800,649,500,502,503,16,502,502,503,282,502,649,502,500,501,504,501,107,800,503,282,800,501,513,503,649,503,800,502,192,800,501,500,501,282,503,649,649,501,137,465,500,370,800,501,16,502,282,503,649,502,365,16,282,503,503,689,800,501,649,501,282,503,649,649,649,800,503,16,649,649,500,500,501,705,649,502,501,503,282,800,502,500,649,773,874,794,800,502,502,16,25,501,500,923,502,502,518,649,649,115,700,592,649,282,501,649,500,649,629,502,16,502,501,800,649,16,649,16,126,800,649,503,502,649,979,502,649,800,503,649,502,649,282,800,800,502,282,503,501,107,502,501,503,502,800,503,800,282,800,800,502,502,224,503,500,501,800,503,501,502,500,32,503,649,16,587,503,500,800,649,649,282,649,800,501,800,502,995,503,502,501,107,501,46,500,16,649,649,649,649,502,282,502,800,502,500,649,800,501,367,502,500,500,503,605,500,503,245,282,107,503,649,410,502,501,194,649,649,282,502,502,503,16,502,503,649,649,282,649,453,649,503,502,16,501,137,282,502,502,503,504,501,501,939,503,501,501,800,503,16,282,500,649,500,212,503,486,82,502,649,800,502,503,665,503,649,501,764,503,649,503,503,460,500,810,800,800,503,800,504,135,503,500,282,282,502,649,800,940,649,500,231,800,800,932,501,800,649,649,16,282,292,649,614,503,502,988,282,503,800,800,502,649,500,414,501,800,503,501,502,503,503,504,800,500,500,649,502,800,501,503,204,503,502,800,649,16,500,503,500,502,494,649,649,800,800,503,503,503,500,500,649,578,800,502,501,501,800,282,800,502,502,503,800,282,502,16,649,500,800,103,500,649,800,500,502,800,502,649,501,927,16,500,502,500,486,649,16,314,282,503,57,445,501,800,800,503,800,502,649,800,503,503,649,649,780,502,502,503,501,649,502,501,800,502,800,726,503,649,649,525,16,649,800,502,77,503,800,282,503,502,503,503,501,649,502,649,649,649,501,500,501,502,503,502,282,500,503,251,500,282,86,500,502,502,501,503,500,282,800,502,502,500,500,282,976,500,502,501,635,501,500,501,500,503,503,502,16,501,503,649,551,500,501,800,282,503,501,500,649,501,500,501,502,502,501,500,282,503,800,16,503,649,596,501,800,649,501,657,16,800,501,800,501,649,639,501,384,649,503,500,649,502,282,604,502,502,503,502,649,501,800,649,502,649,649,503,800,209,16,503,649,649,649,800,503,501,501,649,501,501,500,645,501,502,502,800,16,500,502,503,282,800,282,404,500,504,107,503,649,209,16,500,800,649,501,830,103,649,502,800,282,503,16,649,800,649,311,886,933,502,621,649,500,500,649,800,282,800,16,800,503,738,501,800,264,282,282,371,500,501,649,800,501,501,282,800,800,502,79,502,500,800,282,649,502,282,500,502,649,649,503,16,502,705,500,649,503,502,502,123,502,502,503,502,649,136,160,107,502,649,500,649,500,502,103,649,885,800,502,500,501,502,504,16,649,500,503,503,649,501,331,649,501,993,16,500,649,800,504,800,500,500,502,503,16,503,800,282,500,800,500,504,810,502,500,886,501,282,500,500,503,501,800,503,502,500,500,500,500,502,500,500,800,500,103,501,500,503,282,501,314,17,502,649,800,502,980,800,800,504,649,649,800,504,500,500,649,800,500,502,245,828,675,500,800,503,502,649,500,16,649,800,753,501,649,800,282,282,501,282,302,503,282,282,501,282,649,502,500,501,800,649,501,800,800,502,503,500,501,342,649,501,649,500,504,800,800,797,503,501,613,282,36,649,800,501,500,501,990,285,800,649,649,502,800,500,500,501,501,210,225,503,649,626,282,649,503,500,503,800,16,800,446,500,79,16,501,501,374,282,503,500,649,282,164,800,800,649,502,649,16,501,800,649,502,800,504,500,800,649,560,219,500,500,504,502,501,500,502,501,649,500,800,449,501,503,502,45,305,800,503,500,282,503,649,503,282,500,282,103,649,649,800,649,503,502,46,500,500,501,649,500,649,503,503,956,649,649,500,503,501,502,501,282,501,502,500,503,502,501,502,800,800,80,649,358,502,502,502,502,502,282,501,649,649,649,500,501,649,501,800,502,800,649,810,282,649,800,500,282,502,649,635,503,503,500,503,502,800,800,503,502,501,294,16,503,503,800,282,282,501,649,649,502,101,649,800,282,503,800,590,649,649,649,500,501,502,413,649,501,800,800,501,800,501,800,500,649,500,502,840,16,649,502,800,501,503,800,16,500,649,288,800,701,502,649,961,800,504,649,786,591,500,501,16,501,503,516,943,500,16,501,649,501,502,968,503,502,501,695,188,978,585,107,501,800,501,800,503,500,691,501,503,503,800,222,983,501,501,282,482,800,657,503,503,502,947,500,501,503,501,503,502,282,800,501,649,130,503,649,848,408,503,501,649,100,649,800,502,790,502,501,800,503,500,103,502,504,649,503,800,649,50,500,502,800,503,287,501,649,161,980,503,807,282,503,502,649,503,501,649,649,445,500,503,800,654,282,30,649,503,502,501,504,282,649,944,800,800,501,501,503,800,500,503,649,649,800,500,829,282,967,282,199,16,503,503,500,649,282,503,649,500,502,503,282,503,501,501,503,502,300,503,800,800,502,501,649,501,800,502,503,693,16,649,282,282,501,16,649,502,800,501,500,649,800,649,502,504,501,325,282,501,649,807,501,501,800,500,501,491,500,976,502,514,59,500,501,282,500,500,501,408,800,649,832,649,500,800,800,501,800,282,502,857,502,501,649,500,500,313,500,500,136,503,457,800,800,502,800,503,649,502,800,502,282,212,800,800,501,503,500,800,501,502,500,560,500,503,500,728,501,503,501,501,502,758,800,501,503,649,501,16,282,649,503,500,502,502,501,502,649,501,503,508,502,282,501,503,501,501,503,500,800,502,502,501,500,502,503,800,502,649,107,501,501,500,800,502,800,500,649,43,502,502,800,114,800,649,649,876,800,504,800,282,502,501,500,40,501,800,500,282,800,501,503,502,55,502,501,501,500,501,915,282,502,649,503,502,502,502,502,649,500,502,103,502,500,800,501,372,500,84,649,502,800,500,502,502,502,500,282,502,800,503,649,500,501,800,107,800,649,504,53,800,71,503,500,649,503,501,500,500,282,282,502,236,282,503,800,16,800,649,504,502,704,500,107,16,649,16,419,500,500,649,841,649,103,107,500,502,501,500,500,501,501,503,800,502,503,500,282,502,282,282,500,16,103,501,282,500,649,591,949,800,503,502,503,649,502,800,503,502,16,649,649,649,800,800,282,16,502,576,501,717,501,649,502,501,501,502,500,503,800,282,500,649,502,282,800,503,473,282,503,500,649,16,501,503,456,819,502,164,503,503,282,16,502,501,502,649,690,500,649,649,649,800,503,501,807,501,800,103,649,500,649,282,800,282,16,800,800,282,800,501,800,504,649,282,503,500,504,503,501,501,282,800,500,502,501,282,800,500,649,107,502,649,402,502,16,500,500,800,649,500,502,502,502,502,500,649,649,282,502,800,503,502,714,222,107,16,649,502,500,500,501,649,800,503,409,504,107,500,649,107,501,501,502,501,282,282,701,502,503,282,502,502,590,16,649,16,649,800,282,501,263,504,501,503,500,103,282,502,16,503,649,800,800,863,503,167,500,500,322,103,800,16,503,502,502,500,501,800,503,502,502,800,580,502,800,500,502,649,501,800,501,948,649,889,238,503,504,500,282,800,327,500,452,795,7,804,649,649,501,503,282,71,502,502,800,501,649,503,503,800,502,800,500,649,649,503,362,501,500,649,503,282,501,800,800,525,501,500,502,649,503,501,500,502,649,502,282,282,503,501,63,500,16,649,502,502,282,502,800,503,800,501,501,649,874,927,282,282,649,501,282,282,503,500,800,778,541,800,649,800,500,502,839,503,800,800,347,800,282,503,503,800,282,49,800,503,649,282,649,649,504,800,500,649,501,649,501,502,503,800,649,500,16,502,649,16,178,503,649,800,51,282,504,649,649,800,951,16,501,503,800,800,800,282,105,612,800,649,502,502,649,649,649,504,502,500,229,501,503,16,500,649,502,503,649,503,800,649,502,649,800,649,503,800,503,800,500,500,212,883,649,502,501,649,373,500,502,282,282,649,16,649,282,800,500,70,649,468,501,503,503,649,503,16,649,502,16,504,503,502,503,654,502,649,282,649,503,482,503,502,282,500,107,800,649,282,16,503,939,503,649,283,503,503,501,500,502,502,501,502,504,800,502,501,502,800,500,502,282,500,16,502,501,800,503,461,800,282,649,293,501,800,500,649,800,649,503,938,282,501,501,282,503,501,649,503,500,649,502,108,800,800,500,501,649,501,500,503,800,800,733,503,800,16,503,500,501,503,502,501,500,500,502,800,501,800,800,649,800,502,503,500,800,503,503,501,503,657,649,502,501,500,503,649,501,502,107,800,503,500,800,501,502,502,503,649,500,501,500,282,649,501,800,500,649,501,282,910,502,502,282,501,500,502,502,502,282,500,501,649,501,500,948,649,501,866,649,612,282,500,800,503,649,500,503,800,501,501,501,501,800,36,275,282,501,282,501,181,502,500,282,16,502,501,503,500,501,501,504,649,502,503,649,16,501,800,503,87,501,847,500,500,649,649,500,282,502,500,282,800,645,649,500,501,649,282,502,282,502,282,501,784,649,800,502,16,502,800,649,936,500,282,503,811,502,503,500,649,500,500,501,282,649,857,504,501,500,800,282,501,842,501,282,506,649,698,502,325,312,649,649,373,500,800,800,282,16,800,800,503,282,800,800,502,649,501,800,503,411,530,282,67,800,503,501,501,764,502,503,503,501,433,501,503,820,800,503,800,800,649,256,800,502,502,16,649,502,501,500,501,800,800,800,800,502,773,969,649,441,16,500,16,501,502,800,502,282,254,500,103,501,501,502,502,16,501,282,649,282,563,502,160,501,501,800,113,282,501,588,16,500,379,500,130,502,501,501,800,503,800,502,211,649,649,10,501,503,282,500,134,502,502,502,282,503,649,500,500,501,649,282,502,800,16,500,717,911,800,500,649,649,334,500,500,503,501,800,282,500,649,800,503,211,60,502,500,500,282,992,501,649,503,504,503,501,503,632,500,501,171,501,500,503,503,649,649,649,503,501,504,503,800,502,800,800,563,443,501,503,800,800,503,502,800,502,649,500,501,800,16,502,503,502,501,503,649,501,501,504,501,501,500,696,501,503,503,800,502,282,504,16,502,800,16,809,503,282,807,649,861,502,503,207,282,500,103,502,427,500,680,503,500,501,503,500,800,107,500,500,282,649,696,501,500,503,649,500,503,501,501,500,800,500,800,501,800,800,800,502,800,503,282,500,501,800,501,604,503,500,649,500,500,502,297,501,502,800,800,503,500,757,745,282,800,594,282,16,649,649,502,282,649,800,800,649,462,96,500,282,503,649,502,501,455,502,788,500,7,153,500,649,800,501,502,502,807,503,501,502,501,107,501,501,500,282,649,366,500,282,16,503,503,57,649,800,282,502,501,503,649,776,649,800,502,503,282,500,500,500,282,649,501,501,16,502,649,800,501,807,800,503,800,502,500,502,503,500,283,500,502,282,187,800,649,500,677,16,35,503,727,503,501,110,502,501,501,500,500,649,801,504,503,649,649,500,649,500,546,247,166,501,800,649,503,649,515,500,908,503,502,500,500,503,501,16,800,800,944,800,500,765,800,502,502,503,800,26,649,16,800,282,500,502,503,503,800,500,502,503,282,503,502,500,503,800,502,501,107,282,8,557,649,501,800,501,502,503,800,800,501,649,649,800,502,744,503,501,649,649,649,649,30,502,502,800,800,16,501,800,649,282,282,649,282,501,649,502,502,503,649,16,800,502,800,306,502,100,649,282,502,501,282,800,503,103,800,504,502,504,502,282,503,502,502,503,649,502,502,501,649,504,282,503,649,500,504,503,504,800,16,800,500,649,501,502,502,503,502,468,503,502,107,500,502,501,503,342,486,503,537,500,800,502,503,459,282,501,282,502,282,800,649,500,800,503,800,500,800,500,500,501,502,649,501,464,282,649,800,500,501,981,800,503,649,500,16,500,16,502,500,503,785,800,585,649,649,991,502,649,503,649,649,500,800,649,503,282,649,649,503,282,502,800,502,501,439,502,502,500,412,649,16,800,800,593,800,503,897,16,503,502,800,800,502,419,500,340,16,95,800,649,503,503,500,800,16,840,503,649,500,503,89,500,503,504,501,800,649,501,107,503,147,107,222,502,16,16,330,503,503,503,221,502,649,282,59,502,500,222,282,649,854,503,282,501,502,501,800,705,502,501,649,800,897,649,500,503,800,528,800,504,503,295,800,16,969,501,800,649,502,501,282,16,282,13,501,282,649,800,501,889,502,501,649,501,649,502,503,502,501,501,800,800,277,500,404,649,282,501,503,800,649,500,503,500,502,800,800,24,501,501,501,282,500,649,649,800,501,501,649,800,282,107,503,649,502,502,800,504,103,500,504,501,349,282,16,494,16,501,16,649,535,500,502,500,501,500,800,800,800,500,502,500,282,107,800,236,502,501,649,800,502,502,502,107,503,649,649,500,800,504,800,500,729,800,282,501,502,500,16,16,800,649,501,649,503,500,501,500,282,378,396,800,503,501,649,800,649,649,282,800,118,282,502,715,649,501,649,661,649,282,800,649,842,503,649,282,800,800,649,800,390,814,649,800,502,500,16,501,502,282,649,500,502,800,800,504,800,504,16,502,481,500,502,282,649,504,502,671,503,800,503,649,503,502,500,500,501,583,502,502,501,503,500,911,649,23,799,502,503,16,503,311,502,800,16,88,649,500,503,282,282,282,502,503,502,16,660,500,500,504,16,500,500,503,800,501,144,500,800,503,942,641,800,500,282,503,16,772,501,282,501,501,649,503,501,649,501,502,800,500,882,504,649,282,551,16,649,500,649,504,800,800,501,501,800,282,501,503,931,500,298,103,205,503,282,501,800,502,501,649,649,625,503,500,649,649,502,800,500,529,500,282,800,638,503,649,502,502,16,501,501,800,649,774,503,501,282,649,502,502,736,503,503,502,16,649,500,501,502,502,503,800,282,501,649,503,284,502,282,807,502,800,649,503,501,649,103,503,611,795,500,503,649,502,502,649,500,502,800,388,502,502,500,501,504,501,503,503,500,16,649,282,501,885,500,800,500,649,800,502,282,504,502,502,501,503,282,501,800,504,107,503,1000,502,500,649,649,16,501,503,372,502,649,501,501,500,649,282,500,763,649,649,503,501,500,501,503,649,800,800,502,501,800,800,800,667,503,409,649,282,503,649,21,649,500,649,500,800,282,282,800,800,502,800,800,502,800,503,502,500,501,500,282,501,501,501,800,500,737,800,649,503,649,500,800,502,800,502,501,501,800,976,502,649,649,500,649,500,649,800,502,503,16,282,503,649,140,500,500,282,501,503,302,16,649,502,800,282,502,500,355,503,807,649,282,800,800,502,282,800,501,503,500,23,503,649,502,800,800,438,800,503,26,143,503,500,649,501,397,501,733,500,501,16,395,500,614,503,501,649,489,649,500,800,502,502,503,800,895,153,800,649,503,800,16,649,800,649,500,501,649,282,800,800,282,502,503,800,500,500,504,501,649,500,504,800,282,501,16,649,501,800,282,482,649,502,502,503,16,500,103,282,502,800,733,16,502,502,282,500,502,503,649,800,502,502,500,282,800,16,986,800,649,800,503,414,501,800,502,503,649,502,282,500,800,649,503,16,197,504,282,649,550,384,502,502,282,502,502,502,100,649,459,501,500,501,501,649,502,806,502,800,895,282,282,107,649,800,649,502,328,282,500,501,502,501,501,501,649,503,649,16,500,501,501,800,741,502,503,800,502,503,500,800,235,800,649,501,649,800,800,800,502,742,649,282,502,539,685,800,501,500,503,800,800,649,503,502,16,503,500,500,502,649,502,500,501,502,500,649,500,800,888,502,502,500,502,282,501,282,56,502,379,501,649,500,503,501,263,282,502,649,500,800,224,503,282,649,282,502,649,800,503,107,502,107,775,16,504,503,502,800,894,16,500,503,501,515,33,447,800,649,649,501,800,282,649,658,503,500,502,503,649,502,503,649,501,282,649,502,503,503,649,800,500,800,502,500,283,500,800,748,500,502,800,501,503,800,649,372,778,502,503,501,502,500,502,800,282,981,500,501,502,649,502,105,250,16,649,503,282,649,984,592,501,501,649,800,800,800,500,502,800,502,503,500,649,503,500,502,501,916,649,800,502,652,16,503,649,502,202,16,500,800,501,501,503,500,649,800,649,502,649,501,800,500,649,500,502,282,800,649,502,282,628,22,500,500,503,16,936,705,16,502,502,502,503,649,649,269,69,503,930,504,501,649,501,649,501,502,16,16,473,800,501,352,649,501,282,920,800,502,500,502,500,282,62,649,503,649,282,503,502,649,253,500,500,501,800,501,500,503,800,500,501,500,502,800,649,501,800,502,502,676,500,800,500,501,437,649,500,649,500,800,501,500,502,16,800,104,282,501,35,649,649,282,800,800,500,501,503,501,500,282,354,649,649,789,502,447,282,502,529,800,500,282,500,502,800,502,502,910,392,502,500,502,649,502,500,282,800,502,989,504,503,649,734,557,701,501,800,500,504,800,503,649,503,800,282,500,649,800,649,649,501,800,500,500,103,502,800,500,649,970,705,800,501,649,649,502,502,500,503,45,282,649,800,503,649,503,800,501,501,502,800,502,282,502,16,282,16,500,502,800,924,501,800,649,282,282,649,502,500,649,282,503,103,503,504,501,800,282,689,503,649,282,282,800,500,501,501,503,800,501,282,501,813,649,501,649,107,501,649,649,502,649,501,620,503,503,502,503,649,502,503,800,503,501,649,800,800,500,649,649,503,800,504,503,501,649,502,16,451,500,649,502,800,16,502,502,800,502,634,172,501,800,800,649,434,649,500,282,504,800,649,649,649,649,282,987,699,800,503,501,502,649,44,502,500,501,800,649,800,501,800,800,502,503,500,503,649,500,649,500,944,500,649,501,503,16,500,503,58,500,649,16,649,800,649,282,380,800,847,502,503,282,800,503,800,649,649,807,800,649,501,500,414,800,649,500,649,381,501,502,800,649,500,502,649,501,399,800,500,501,503,500,504,502,501,502,501,503,503,103,282,501,800,502,500,503,503,501,649,800,501,652,500,282,800,800,500,800,503,649,800,501,292,501,649,800,502,504,800,282,800,107,503,141,500,500,500,789,500,800,501,16,800,503,502,649,501,501,501,800,502,282,800,393,483,137,501,501,649,800,800,613,800,800,501,14,649,500,649,501,503,65,282,503,500,500,16,503,800,500,649,107,649,501,948,502,39,500,649,171,500,501,500,500,649,500,502,502,500,503,503,649,501,653,282,502,649,800,501,500,503,501,502,503,800,502,649,282,500,16,16,501,500,503,570,107,358,501,649,800,512,30,649,591,502,501,282,501,500,502,308,107,649,503,503,282,502,800,44,800,501,467,503,503,16,502,504,502,500,500,503,501,501,649,547,502,224,501,503,503,500,16,755,500,501,500,800,800,503,800,282,16,502,800,500,501,649,282,501,500,800,503,800,823,282,800,950,502,800,649,507,604,502,649,16,502,503,282,649,649,501,503,704,800,800,649,282,126,800,800,649,16,649,501,649,502,503,503,501,501,649,436,271,93,282,649,547,800,649,500,649,501,89,800,500,502,501,649,800,500,501,649,941,482,501,34,503,503,649,502,500,282,501,500,812,800,500,649,1,500,282,16,649,800,649,800,649,282,503,649,503,503,503,649,800,649,501,503,504,503,878,649,502,136,759,501,502,800,649,800,504,502,500,800,503,502,501,503,501,11,5,107,489,501,503,503,503,103,501,800,594,649,649,503,501,649,107,500,501,503,502,501,800,240,270,502,500,282,107,282,503,501,503,649,103,221,502,502,503,800,502,649,500,649,649,501,800,649,503,500,504,503,502,503,503,103,503,501,282,501,500,649,502,500,503,775,502,502,385,807,502,500,800,842,282,800,501,501,502,501,649,503,649,649,187,503,503,800,649,649,501,502,800,563,502,502,502,504,800,503,46,502,501,503,16,16,500,504,502,502,800,502,800,502,649,503,16,16,282,500,502,503,976,504,800,282,502,502,800,168,503,649,634,649,502,313,840,502,501,500,500,502,278,500,503,500,503,502,501,501,504,649,800,649,503,31,282,502,503,543,500,503,501,500,282,482,282,649,501,501,649,654,503,107,500,649,649,800,800,500,501,649,635,282,502,282,800,501,501,800,503,501,503,500,193,103,502,242,282,282,282,503,16,649,501,105,502,502,800,503,800,501,502,515,502,649,503,282,501,800,502,504,503,103,649,800,800,501,800,282,503,282,649,503,502,800,321,649,649,649,503,201,502,503,79,649,502,503,503,16,500,649,800,282,501,502,504,501,84,502,502,16,649,500,500,500,107,501,282,503,800,502,501,502,503,503,501,800,282,649,107,502,504,800,932,500,16,502,503,502,649,501,500,649,16,503,500,500,800,500,649,501,800,500,500,800,503,282,502,502,502,500,501,785,503,230,502,195,501,282,503,649,503,800,502,800,800,282,502,800,502,501,500,649,503,502,16,502,503,502,501,649,282,16,649,649,504,502,912,800,502,502,921,800,502,800,502,503,107,502,543,500,800,500,501,800,503,503,16,800,705,503,501,501,649,502,500,501,341,501,800,500,500,835,503,502,500,800,501,649,800,503,668,502,800,649,370,16,502,783,800,649,800,502,503,800,501,800,735,502,212,649,282,503,800,282,503,649,500,800,282,501,779,649,503,282,501,800,800,251,800,503,800,503,649,76,502,649,502,16,503,501,649,503,408,649,649,500,344,800,16,649,500,16,501,504,358,649,563,502,800,502,503,649,501,502,800,500,502,504,298,649,16,503,282,503,800,503,503,502,502,107,502,501,16,282,501,800,57,649,502,800,649,800,503,503,503,503,501,502,502,800,282,800,282,500,500,503,502,502,503,503,203,501,501,503,500,502,500,309,67,649,649,501,208,800,501,500,500,800,649,800,502,503,649,502,649,501,282,502,282,502,501,800,503,501,649,649,503,16,818,346,502,501,501,500,800,282,649,913,504,504,501,500,800,501,502,649,500,502,800,503,476,649,502,503,500,16,147,649,500,501,501,502,500,500,649,501,282,649,649,649,107,282,501,503,16,500,800,259,503,889,500,503,649,503,576,649,800,500,350,401,800,502,502,800,649,501,649,282,500,501,503,503,282,800,16,800,500,402,500,800,649,800,649,503,502,500,501,282,649,800,649,500,800,800,282,500,954,500,501,504,471,16,16,546,800,500,500,500,103,500,282,649,502,490,501,800,283,649,334,503,503,649,649,501,502,503,502,503,649,502,500,501,501,501,478,813,649,501,800,501,500,502,158,282,800,649,355,800,649,501,800,16,480,16,649,501,792,501,104,501,800,500,800,649,742,800,564,501,503,649,649,800,502,553,501,356,502,501,282,503,800,107,502,503,501,501,282,316,503,476,649,502,649,410,503,500,500,502,282,503,503,649,16,503,232,503,501,501,585,800,649,800,889,501,503,807,800,735,518,501,501,45,16,800,503,649,500,500,290,421,503,501,800,504,501,649,503,502,183,16,800,500,504,503,794,503,500,501,503,502,800,500,500,16,501,500,500,649,501,144,800,844,379,502,503,502,288,800,649,16,503,282,16,16,800,500,503,502,800,502,501,649,503,503,649,649,500,500,500,503,502,500,282,282,800,800,502,239,501,502,282,501,500,503,96,257,649,800,800,501,649,800,649,649,800,282,502,501,800,800,538,502,502,500,514,649,500,819,362,501,503,502,500,649,500,501,503,501,16,60,53,800,649,907,501,502,282,800,501,502,649,663,800,503,500,502,800,503,501,502,502,503,503,501,649,649,800,501,500,501,501,649,503,800,502,649,503,800,503,501,500,501,800,503,503,16,800,800,800,100,649,800,800,502,501,503,103,649,500,503,800,503,16,502,394,16,503,649,157,501,503,500,502,341,649,503,649,502,800,502,271,800,282,501,282,503,800,103,500,800,48,800,503,501,800,16,800,501,501,502,649,800,501,502,504,502,500,503,649,649,501,800,800,502,800,503,502,503,137,502,500,503,503,16,649,503,805,16,502,800,107,649,649,500,955,649,500,500,649,500,925,504,800,501,800,500,503,500,503,649,79,107,16,502,500,649,501,649,500,503,500,504,800,800,503,503,503,282,50,282,282,501,500,800,424,800,282,282,503,503,503,500,800,282,800,661,503,502,800,503,501,502,501,502,800,649,927,500,502,500,503,503,800,501,649,502,78,500,800,103,649,282,800,503,16,800,501,527,500,503,649,800,649,500,503,649,502,800,500,500,282,502,649,503,501,503,503,649,502,503,500,649,292,500,500,501,500,800,649,649,40,649,107,500,502,501,800,500,800,800,649,800,502,107,22,502,503,501,501,589,501,800,503,503,500,282,298,501,501,501,500,800,282,500,503,503,500,502,503,649,503,500,503,649,502,501,500,649,504,16,503,502,282,501,733,800,502,800,501,800,649,649,800,502,800,504,500,502,503,500,800,503,16,283,501,800,503,502,812,800,500,800,649,649,500,500,503,503,500,502,800,502,16,501,502,502,502,500,649,502,800,524,800,16,501,501,500,282,503,800,494,800,503,282,501,502,800,350,500,282,649,500,201,501,500,868,502,800,800,503,282,502,503,503,933,649,502,503,502,282,500,502,502,503,383,16,500,502,501,130,501,500,501,649,800,503,16,800,501,282,649,103,501,503,649,649,649,501,503,500,282,502,503,502,282,917,501,503,111,649,649,649,500,649,503,503,103,503,649,503,501,65,502,649,612,245,649,100,500,500,993,501,500,411,800,649,282,16,800,649,16,502,649,800,501,500,202,800,503,282,502,502,500,100,16,501,503,500,500,503,800,649,501,503,501,503,501,800,282,501,649,649,800,502,501,503,500,649,501,904,282,16,649,500,800,649,500,800,800,502,504,16,500,504,500,500,649,502,282,649,501,500,501,800,923,503,282,649,282,502,501,502,502,500,649,282,500,500,282,649,501,282,503,503,649,500,502,649,501,16,649,103,16,800,502,503,501,16,501,649,16,649,503,502,649,649,500,649,282,800,649,501,500,649,500,925,503,500,23,502,800,649,800,502,501,502,502,502,502,501,800,503,502,800,16,503,502,500,500,800,649,503,800,998,649,500,649,502,503,800,42,687,501,800,582,503,500,903,504,503,501,502,501,649,503,500,503,16,282,649,500,649,649,503,501,500,502,501,500,866,503,502,501,282,502,16,282,501,649,504,502,107,800,502,503,501,503,705,800,800,649,501,503,503,16,16,500,190,471,800,107,501,754,434,649,788,501,800,503,988,501,800,282,800,800,503,649,242,500,502,502,282,282,504,282,458,503,580,282,503,717,501,800,502,504,649,404,800,800,501,16,628,649,500,1,196,553,873,500,705,649,649,501,503,649,800,503,800,501,504,689,502,500,842,502,400,501,800,364,502,502,895,282,504,107,16,504,503,503,500,800,503,16,502,502,502,103,800,501,379,500,649,649,503,800,501,282,800,503,504,318,800,649,282,502,800,649,800,800,501,503,397,800,500,501,136,500,919,502,502,500,16,500,800,875,500,218,282,649,500,16,503,502,16,800,649,800,503,472,501,800,503,500,503,649,297,800,500,2,503,503,649,503,501,501,501,781,631,500,501,500,502,500,502,501,501,941,500,501,800,502,503,501,501,551,501,649,500,502,500,649,800,800,503,501,649,103,606,800,503,500,50,800,44,800,16,502,800,649,503,800,503,282,649,502,502,502,649,282,503,500,282,502,282,500,501,890,502,16,500,649,649,48,500,763,502,503,500,163,503,812,16,800,502,503,800,502,502,429,649,503,501,500,411,282,502,898,503,504,649,502,213,800,500,747,503,16,649,800,502,282,503,501,501,649,500,501,503,500,500,501,800,503,800,97,500,501,282,282,79,800,649,500,502,184,800,501,456,282,16,500,502,280,800,27,503,502,501,502,595,282,800,503,649,501,294,501,282,500,503,504,502,649,503,74,502,503,282,800,502,500,906,504,334,503,501,721,839,501,502,16,500,502,500,579,500,500,501,800,270,502,282,503,649,282,649,800,503,500,502,473,59,282,38,769,800,649,503,501,503,800,500,272,192,282,800,501,503,637,282,502,639,800,501,649,501,649,500,500,501,649,501,501,502,503,500,503,502,282,649,829,500,502,649,501,500,504,282,503,800,708,502,503,79,503,501,131,501,501,649,500,500,800,807,503,500,503,282,74,649,649,500,107,501,503,501,800,282,500,649,747,317,800,588,500,502,800,501,501,16,503,500,800,800,502,500,503,387,800,649,502,743,800,501,501,501,649,800,800,649,649,458,503,986,16,282,503,500,500,282,800,281,800,500,502,503,500,16,501,645,502,500,800,282,16,649,107,800,930,503,503,503,649,800,501,800,649,500,800,282,503,800,770,502,103,800,800,504,502,500,502,502,16,501,500,323,800,501,503,500,28,503,649,501,16,800,502,503,107,501,282,500,504,501,500,500,649,503,500,282,500,502,282,502,800,522,501,800,503,502,500,800,501,649,353,649,501,16,282,503,502,502,649,501,501,501,501,504,462,272,34,502,500,503,502,282,282,501,500,631,500,649,107,501,501,649,503,501,502,501,800,500,503,103,190,500,426,649,501,502,502,649,502,502,501,500,16,500,500,800,857,16,502,800,501,500,649,501,474,16,501,502,501,282,500,502,759,800,502,649,16,503,649,649,503,503,500,649,235,501,649,503,502,800,502,649,501,503,282,502,649,501,503,502,800,649,502,158,263,500,501,705,503,503,909,503,502,980,501,282,649,501,501,500,501,649,500,649,980,503,282,928,501,500,503,16,503,501,502,649,282,503,503,500,282,501,16,649,503,503,501,503,108,800,502,362,503,16,502,649,800,649,501,501,649,502,598,649,503,649,16,503,500,503,649,800,649,503,502,500,205,31,503,501,502,213,500,501,503,502,800,973,501,547,800,649,500,800,501,502,502,29,593,183,500,800,502,503,501,107,501,502,501,502,705,800,503,800,800,502,503,501,500,800,998,16,649,426,800,649,501,955,500,501,793,591,800,282,503,503,502,501,500,649,282,503,649,500,649,503,500,649,840,800,501,503,503,649,800,16,649,107,800,504,649,47,500,16,503,500,16,500,502,784,665,649,649,720,800,500,807,500,502,393,501,501,800,502,501,282,705,501,502,500,649,67,16,16,282,649,571,500,501,501,649,500,503,503,502,649,501,531,502,291,500,500,501,501,502,649,500,282,502,800,501,649,629,800,649,504,503,282,502,649,699,500,649,83,501,501,800,81,503,503,800,860,503,503,649,282,800,501,800,320,502,503,502,649,282,16,504,503,501,504,500,649,649,282,501,282,779,196,800,119,800,877,502,649,502,16,649,649,800,370,250,502,503,502,502,649,502,253,16,501,800,649,501,503,500,500,503,800,501,501,502,324,95,503,608,282,501,501,649,500,501,503,501,649,501,500,121,501,501,46,501,649,800,800,503,649,16,504,501,501,500,800,649,503,504,649,501,800,502,282,149,502,649,79,16,501,649,670,500,282,500,501,424,502,282,503,649,203,16,16,502,282,649,800,649,16,503,501,649,501,500,705,649,503,649,503,500,500,502,503,500,502,800,833,502,500,500,16,186,503,500,503,800,503,501,501,800,282,503,800,282,500,16,800,523,500,236,649,613,501,800,501,503,503,500,500,503,488,502,800,501,503,649,501,501,501,649,503,502,649,800,967,226,800,500,504,501,800,500,500,502,282,649,503,649,1,502,649,800,16,502,503,800,502,633,503,502,800,649,502,649,500,800,781,500,282,649,502,502,649,500,500,503,800,501,502,16,282,502,502,282,503,993,503,501,502,500,800,282,16,16,502,800,800,501,502,76,502,500,107,503,649,282,649,501,800,282,649,60,502,502,501,54,805,501,501,282,500,502,502,800,800,649,800,649,582,800,504,800,800,282,800,501,401,501,649,649,502,500,499,503,16,501,649,500,501,501,500,800,500,501,500,800,502,649,800,649,16,800,282,502,649,501,503,800,501,578,500,800,501,282,501,683,500,649,502,282,227,500,500,500,503,500,500,282,189,649,503,501,500,649,501,649,502,800,501,800,501,649,500,649,502,29,501,856,503,800,9,649,503,198,500,212,625,839,702,501,501,800,501,16,282,501,863,800,500,470,501,502,503,282,501,501,792,649,503,282,503,500,503,500,16,501,503,800,501,649,503,503,777,649,502,502,16,502,800,800,503,282,649,502,412,502,500,502,503,503,501,649,468,503,800,500,503,502,189,850,502,649,501,84,500,800,649,501,503,800,501,815,649,500,500,502,502,800,686,502,800,501,188,502,649,649,502,501,800,502,341,503,500,500,141,503,500,501,282,37,502,502,710,306,652,649,971,504,503,800,502,800,503,500,504,503,502,502,502,500,197,501,502,904,503,16,649,502,649,800,800,503,800,282,649,282,649,503,800,649,501,503,502,500,800,501,649,501,500,503,503,501,500,649,501,503,800,40,501,503,210,500,500,501,800,500,649,282,502,649,800,500,800,209,16,503,501,503,649,282,502,501,649,503,502,282,649,502,649,800,500,649,745,502,500,503,282,649,16,649,800,649,501,103,123,502,501,800,282,503,503,503,501,501,502,800,503,649,502,800,503,282,521,500,649,800,502,500,503,800,501,282,501,800,800,503,649,500,649,503,503,500,501,649,282,502,161,501,591,649,502,502,503,655,658,649,800,501,500,800,147,16,504,500,503,800,503,502,649,501,501,149,800,503,501,371,500,500,649,4,463,503,503,282,501,503,282,631,282,502,649,649,503,502,502,282,649,574,501,887,649,649,502,649,800,503,500,501,501,282,649,503,282,800,504,502,800,306,476,503,501,503,889,500,800,800,503,649,649,800,800,500,649,800,649,500,500,107,282,816,100,800,502,800,501,500,282,501,649,500,282,800,257,504,902,503,649,501,502,282,800,282,503,503,501,501,500,649,500,503,501,502,800,800,501,520,502,800,502,702,502,502,501,282,16,800,649,503,501,649,107,282,503,501,800,16,800,501,827,503,649,502,502,500,502,500,503,16,649,500,501,503,800,800,649,502,500,107,603,649,501,502,500,502,282,649,700,504,649,503,500,800,800,800,539,615,503,282,503,501,501,800,649,503,501,282,502,649,503,16,503,502,649,607,473,649,370,678,800,103,501,501,502,16,800,502,501,649,800,501,500,649,282,649,16,502,501,649,500,500,649,810,502,70,282,502,500,282,282,501,502,501,502,282,500,800,502,874,502,649,343,503,15,649,336,800,503,500,16,249,503,502,649,501,800,649,649,503,502,503,501,282,559,501,282,649,649,649,282,500,502,502,501,503,500,502,475,503,503,282,800,800,800,501,500,503,501,282,500,502,503,649,501,500,658,800,500,282,282,504,502,503,500,500,501,500,500,501,649,800,502,649,502,500,103,282,502,107,800,189,282,503,388,503,649,649,500,502,800,649,502,649,649,502,825,216,503,502,649,538,282,649,500,501,800,500,282,501,500,500,580,800,501,800,800,503,503,501,503,23,501,501,16,503,502,800,502,800,800,500,649,800,500,503,649,502,800,603,800,502,501,649,649,800,83,649,501,800,500,649,500,502,501,502,446,16,800,500,502,503,282,500,503,649,501,500,501,800,649,501,504,502,502,501,502,503,649,282,800,500,502,649,649,60,155,800,503,501,16,800,503,649,649,800,800,282,501,649,501,501,323,500,500,649,323,107,502,649,649,501,502,503,502,615,282,500,649,103,500,501,16,502,502,500,501,84,502,800,800,715,503,502,500,16,649,501,487,659,16,504,501,103,500,800,503,503,888,800,500,501,500,800,800,800,502,502,503,152,502,800,502,502,503,800,588,503,282,503,107,500,501,800,800,282,501,800,107,501,114,800,649,501,501,500,503,16,502,649,16,878,804,502,107,800,502,649,502,500,282,107,501,107,503,501,103,800,501,649,502,282,649,282,649,284,501,500,649,282,770,800,503,282,501,500,649,649,502,500,503,127,282,649,100,501,800,649,502,282,502,503,16,800,504,649,282,807,901,282,501,502,282,800,501,502,500,800,502,502,500,103,343,501,503,501,649,824,501,501,649,19,282,37,503,503,282,800,503,502,16,800,800,502,926,475,649,800,503,16,501,501,649,503,721,16,501,800,501,800,502,16,502,800,500,502,502,649,291,649,501,213,502,503,976,500,500,156,500,501,500,500,572,500,502,501,282,282,502,282,282,500,305,622,649,649,282,800,649,940,502,649,502,503,107,503,501,504,503,282,503,649,282,504,111,501,217,502,800,501,502,649,500,503,500,282,800,649,502,800,103,282,282,502,800,800,800,502,649,503,321,800,800,503,501,49,824,500,800,501,649,503,800,503,500,282,649,503,800,503,800,649,502,107,800,500,282,649,800,649,649,501,502,649,351,800,282,282,503,800,504,503,503,800,282,649,502,501,501,500,649,504,501,836,282,501,282,800,501,500,864,800,649,500,501,501,16,546,502,501,503,649,282,903,292,500,503,501,800,800,502,800,502,282,649,502,502,501,649,800,800,503,502,649,500,502,587,503,503,192,649,649,503,502,649,503,500,16,16,800,228,503,800,282,501,649,282,501,800,502,503,501,780,500,502,282,501,503,502,800,500,502,500,502,503,500,503,800,649,502,503,800,503,649,500,649,800,503,504,800,485,634,502,649,502,502,501,649,800,500,503,282,403,503,500,800,800,503,500,500,503,314,500,282,501,800,502,16,503,649,321,501,502,800,500,500,649,501,501,503,500,503,502,282,800,282,649,388,501,503,282,501,800,16,501,649,501,34,649,504,16,645,649,503,800,16,502,282,504,503,500,282,800,800,800,282,800,501,500,800,148,649,502,181,501,503,500,800,501,800,501,649,649,531,597,503,500,853,282,800,411,282,500,480,956,503,910,8,503,649,800,60,536,800,501,502,501,282,500,800,282,501,636,649,117,800,502,649,503,282,595,649,502,649,503,503,503,361,502,282,501,16,553,503,503,800,501,103,222,500,957,503,800,501,649,500,800,501,501,311,282,282,502,982,723,649,800,800,800,649,985,500,503,945,503,534,296,649,502,503,649,932,800,500,501,649,282,649,500,500,291,503,800,500,800,500,136,501,502,649,800,704,800,502,649,649,501,282,503,501,502,800,501,324,204,649,501,502,504,501,649,649,285,503,71,813,800,502,282,649,502,895,107,502,502,501,502,831,990,649,502,501,500,502,503,800,800,502,500,502,502,501,503,500,649,794,501,976,503,501,960,501,649,502,501,503,500,16,649,503,503,504,649,649,800,649,500,414,649,649,502,500,501,649,500,502,500,502,800,649,503,800,282,500,800,800,800,503,649,502,649,849,503,282,502,649,501,501,282,800,800,406,500,500,503,501,504,500,103,800,502,500,800,649,502,800,649,500,500,503,282,649,503,500,503,800,649,661,16,500,800,800,500,800,800,649,502,503,649,649,649,282,823,503,800,407,503,501,16,649,100,649,502,500,503,412,932,800,503,207,501,502,649,503,800,16,500,503,500,282,502,501,501,501,649,501,282,501,16,16,502,501,502,671,800,503,501,181,16,503,501,500,800,501,16,503,502,501,501,356,500,501,107,503,503,503,282,800,503,153,500,649,502,282,649,503,500,800,502,500,649,502,501,977,503,649,503,500,800,500,502,800,935,525,500,501,503,500,62,132,502,800,800,649,676,517,500,445,975,500,854,800,500,630,501,282,189,701,501,503,503,663,88,800,502,503,502,500,107,8,282,649,502,502,16,501,800,501,800,282,649,800,800,282,502,800,502,16,501,16,503,800,649,502,500,800,501,800,365,500,501,649,649,649,669,501,807,500,782,538,503,800,504,502,16,502,649,501,503,501,504,502,800,500,501,500,282,502,503,503,800,501,503,649,800,800,500,501,282,800,282,502,282,501,503,502,914,503,503,16,502,502,632,649,503,503,16,501,503,502,470,501,500,501,405,503,282,977,649,503,841,338,282,935,500,282,500,16,649,806,502,649,503,800,649,800,502,282,501,649,16,156,502,16,800,649,502,503,500,16,800,503,503,501,501,800,16,282,800,501,649,800,501,800,502,742,871,500,503,502,649,800,282,500,501,16,800,500,674,821,502,16,955,503,501,502,649,501,649,800,800,502,503,501,502,502,649,649,501,73,649,501,502,501,500,748,138,501,649,800,500,500,649,432,502,214,501,501,573,500,503,502,503,502,649,649,500,500,500,253,282,501,500,800,649,488,500,282,502,282,500,800,502,500,649,800,503,503,503,720,501,24,761,503,649,502,649,503,501,503,502,800,500,723,649,503,502,502,649,501,502,800,503,502,649,800,649,649,501,649,501,649,500,500,504,502,500,500,502,501,800,649,502,501,503,500,238,501,500,502,16,503,501,802,500,800,649,503,500,502,502,500,500,500,502,502,503,821,649,502,501,74,502,504,502,325,43,30,927,800,500,502,962,501,503,649,800,282,500,503,800,268,967,503,800,925,800,503,649,649,16,501,503,504,503,500,593,503,502,503,649,500,501,503,57,6,500,500,500,503,516,503,282,282,500,502,800,502,502,500,503,282,501,502,800,502,500,501,503,503,501,649,501,282,501,282,282,649,649,502,800,503,807,502,500,282,649,501,501,16,536,500,667,501,500,282,502,502,500,503,503,500,640,800,907,16,503,649,649,501,501,503,501,501,500,502,502,500,649,366,16,649,649,500,503,503,800,800,500,881,649,800,501,500,500,500,649,502,503,500,500,500,500,504,502,103,500,16,680,500,502,502,500,504,503,501,502,500,501,502,282,501,400,500,501,686,502,649,282,225,649,800,468,16,769,503,281,411,282,793,500,800,649,504,800,800,503,649,395,649,649,500,502,800,794,504,502,910,500,282,800,282,501,461,501,504,501,649,503,685,502,500,800,282,504,500,502,800,34,800,965,503,504,500,501,503,501,500,501,971,303,649,500,500,649,501,503,800,649,502,503,503,503,502,500,282,800,500,503,500,501,500,503,500,804,800,504,800,649,500,500,500,282,16,930,282,649,282,649,503,501,397,862,501,500,501,502,500,503,641,649,503,649,277,502,649,800,649,776,500,500,800,282,501,502,800,502,649,649,501,501,649,503,820,336,503,482,282,502,500,501,502,217,649,800,719,282,503,501,502,1,501,282,503,503,800,500,649,649,500,649,214,502,502,501,649,649,16,649,649,500,501,500,500,282,649,877,501,500,503,500,500,500,503,503,800,649,503,502,800,649,284,44,800,503,800,501,645,502,503,317,502,501,503,649,649,282,501,282,502,800,503,501,800,649,501,503,502,282,282,501,800,501,189,282,16,649,502,502,502,501,500,649,590,107,8,990,203,503,501,800,649,661,870,705,503,501,502,800,553,501,501,800,74,501,16,282,500,501,729,500,800,78,501,502,502,502,16,502,781,504,820,83,500,73,500,503,502,616,649,282,282,503,649,501,672,500,501,502,503,500,503,502,649,649,649,800,800,649,502,800,649,774,500,502,410,16,501,502,501,16,649,604,500,500,282,503,500,800,705,501,800,503,800,500,500,501,502,800,500,502,504,16,800,503,282,503,649,500,503,714,502,649,502,847,501,800,501,476,800,501,503,282,590,649,502,500,502,500,800,501,503,502,667,129,800,800,800,16,959,457,16,282,503,16,500,501,800,800,649,501,391,566,800,503,502,503,107,500,800,502,649,502,103,520,502,503,503,649,800,800,800,800,503,800,500,649,968,502,503,649,649,501,16,503,501,869,649,501,666,500,501,503,800,649,503,563,649,501,501,311,501,502,500,800,649,501,503,501,501,502,501,649,500,500,822,500,501,16,501,282,649,886,590,501,501,800,996,649,500,501,500,503,501,576,500,500,16,649,509,420,282,282,503,649,800,800,501,282,800,502,800,282,503,501,503,800,800,649,500,501,503,16,649,800,649,282,800,503,649,500,282,999,282,800,649,649,16,502,381,503,500,800,932,503,825,503,502,500,987,501,501,800,503,500,502,503,800,500,800,845,800,800,16,368,500,502,617,800,649,502,501,649,282,332,503,172,502,649,282,502,649,717,501,500,503,283,503,649,503,800,103,502,800,502,800,501,649,503,416,503,502,501,113,596,800,800,501,282,502,501,502,500,649,502,800,503,503,502,502,500,504,800,649,501,501,649,744,649,282,649,501,502,856,615,649,503,800,107,89,504,649,803,500,500,503,649,502,282,503,649,282,271,800,401,800,800,502,500,501,503,649,649,419,649,502,501,501,800,501,501,246,649,649,501,502,502,800,501,500,503,501,500,936,282,638,649,649,501,649,501,502,511,501,503,502,282,804,502,649,282,348,800,68,800,503,16,282,282,501,500,501,502,649,649,221,649,500,633,501,800,502,503,800,800,503,282,800,649,501,501,500,649,800,107,282,500,503,649,500,501,282,282,500,800,503,504,807,987,16,500,502,501,460,107,800,649,500,502,500,649,649,503,501,800,502,282,501,387,503,503,649,649,500,800,503,800,800,501,107,649,107,502,107,502,649,186,500,649,800,800,649,503,501,500,503,649,501,717,501,502,502,501,500,500,504,800,800,503,501,649,503,649,501,501,16,800,501,500,500,501,649,649,282,502,575,800,282,649,889,988,800,800,501,800,503,808,282,501,503,523,649,649,800,500,502,502,16,649,16,282,649,85,500,502,500,800,501,502,500,503,282,500,501,332,502,649,516,98,501,502,282,500,379,502,500,800,501,158,282,502,503,501,649,502,649,393,16,501,649,282,482,502,500,503,502,501,367,649,649,501,976,503,500,503,502,649,503,503,500,6,800,502,500,503,504,501,502,503,500,502,501,613,502,501,501,282,649,500,503,695,502,500,282,649,800,16,800,500,282,800,503,502,304,282,503,502,503,282,885,975,501,695,502,500,503,502,246,103,503,500,60,503,500,501,29,503,503,282,503,800,16,501,896,500,503,501,503,649,649,502,503,500,96,501,282,500,800,501,754,503,282,649,800,503,501,503,649,500,503,503,500,125,502,539,887,385,649,501,503,500,500,500,501,73,500,282,503,800,276,500,649,500,800,501,500,800,503,502,872,500,502,649,282,500,649,649,500,501,504,229,502,107,800,649,800,504,91,858,976,282,500,220,800,501,500,501,503,649,25,501,501,502,503,501,649,528,502,800,16,500,16,800,502,501,500,503,500,282,16,501,500,800,501,649,800,501,967,649,503,503,649,16,800,501,503,501,649,649,16,800,501,502,501,503,503,107,502,649,501,502,284,16,500,500,282,649,501,649,501,649,800,500,649,107,500,502,649,502,649,504,502,800,500,501,501,282,503,501,502,282,649,502,503,501,503,800,16,800,500,649,36,649,649,502,800,65,111,649,978,500,502,503,501,503,501,502,500,503,503,800,503,16,414,504,503,501,502,649,502,800,501,829,483,503,649,502,636,502,500,503,131,282,107,501,503,800,649,809,501,500,896,501,502,800,649,500,500,800,649,503,649,502,196,800,503,800,649,500,649,800,16,282,503,800,282,763,504,503,502,958,502,501,503,226,500,800,282,800,500,500,501,500,503,500,500,800,502,569,501,500,649,501,502,502,503,821,800,282,500,16,500,502,16,800,500,30,501,502,503,260,501,800,522,800,282,27,502,503,270,500,800,503,800,800,502,500,503,16,501,800,649,500,503,16,503,501,501,503,502,649,75,503,500,428,502,503,649,881,107,500,501,500,503,649,19,60,523,16,501,825,800,502,800,502,800,649,282,502,800,501,503,800,649,341,800,649,282,659,501,282,501,239,503,107,500,107,501,282,500,503,503,664,365,500,407,860,503,282,500,282,501,649,649,89,40,501,880,30,800,500,501,920,503,503,500,649,800,500,282,500,649,501,282,577,502,800,800,502,791,500,146,800,502,771,649,800,500,502,500,501,800,502,800,501,800,503,649,502,504,500,800,368,502,945,503,500,800,500,649,501,250,503,16,502,500,501,503,800,103,501,503,408,502,649,501,501,282,503,800,649,500,502,673,282,649,501,800,276,501,16,501,501,500,649,649,800,356,503,500,800,649,501,503,501,649,649,800,502,501,502,503,500,503,500,604,504,500,512,503,800,800,649,500,482,502,501,649,500,500,503,929,649,502,800,16,800,107,502,181,500,800,500,500,282,503,501,649,107,649,502,649,503,321,933,282,649,137,502,502,501,649,282,501,807,501,500,502,503,501,500,6,644,502,502,503,788,503,282,649,800,500,502,503,501,800,649,800,107,501,103,800,649,807,502,503,110,500,649,289,111,502,105,282,503,500,800,800,649,500,649,503,501,503,503,800,502,705,282,501,503,101,503,503,282,649,504,501,800,16,649,800,800,500,291,501,500,800,503,282,649,881,649,500,16,500,800,705,501,649,800,235,503,500,503,649,503,501,503,282,348,649,800,502,501,16,503,68,223,800,214,502,502,503,502,501,282,16,503,501,502,501,500,500,500,395,502,856,16,502,501,503,502,107,7,500,107,800,502,107,800,501,503,501,501,282,649,800,502,501,502,503,503,649,766,282,500,501,800,501,800,501,501,649,501,501,16,354,503,182,501,649,503,501,503,869,800,800,649,800,502,502,500,500,645,649,503,800,101,504,649,500,800,100,800,500,16,503,649,500,500,282,500,503,100,503,705,800,34,501,282,501,282,282,649,502,502,502,501,500,501,501,503,503,905,503,503,502,800,800,33,649,504,705,800,399,913,504,502,147,649,503,443,649,707,501,282,502,500,649,503,500,649,807,800,503,501,501,503,860,800,482,500,649,502,649,500,501,502,649,649,500,500,502,800,501,501,68,649,107,282,502,500,282,649,502,502,649,282,500,667,800,730,961,501,800,800,796,226,501,502,800,603,800,464,282,800,501,501,592,800,500,502,800,649,282,500,502,649,800,800,820,500,781,500,649,502,649,649,16,503,502,800,500,501,501,649,500,649,669,649,800,405,500,503,159,500,1,228,800,503,649,800,501,649,302,504,800,502,503,252,60,107,504,800,500,342,503,502,500,282,500,806,477,868,800,501,649,537,920,649,533,501,500,503,16,800,502,800,282,352,282,501,502,501,649,708,282,503,663,501,500,800,16,16,649,800,381,827,26,501,800,503,282,502,500,500,282,503,800,282,501,501,500,326,107,571,282,649,503,502,800,800,937,107,796,502,800,800,649,836,800,649,502,72,500,501,503,503,500,649,500,503,800,501,503,282,501,800,649,502,502,502,503,16,503,502,503,500,501,500,503,546,800,16,223,655,649,502,800,649,837,649,649,502,502,800,502,502,503,649,282,504,501,322,173,800,501,282,16,503,800,282,503,649,649,600,503,501,503,501,222,858,503,500,503,649,500,501,649,503,800,503,501,503,800,503,800,282,501,675,800,394,800,649,501,503,503,503,501,286,105,503,500,726,503,500,800,16,504,500,501,848,500,107,85,503,649,501,649,501,202,500,282,26,501,501,501,249,503,753,502,800,800,501,649,501,800,503,501,500,649,649,502,501,503,504,649,501,479,500,800,422,819,649,500,501,800,89,501,800,500,800,503,16,504,500,503,800,16,503,282,381,800,282,500,874,800,282,500,82,282,501,500,502,282,502,649,650,282,502,503,649,649,502,500,502,502,501,503,78,800,501,800,500,500,502,500,503,107,503,649,502,502,501,503,503,503,502,152,500,503,500,500,500,103,705,649,800,500,503,800,800,97,649,502,501,282,16,16,501,502,502,500,649,501,500,503,800,800,500,282,649,502,800,282,653,321,503,373,649,502,938,501,16,500,611,502,665,502,503,416,502,501,655,502,282,503,800,504,501,649,649,502,800,800,607,503,503,142,500,800,503,800,16,649,800,503,282,800,800,282,501,282,800,501,502,549,500,501,16,502,500,503,503,500,467,16,800,502,501,649,649,502,800,502,282,500,800,500,502,501,503,500,500,503,503,500,649,800,500,503,649,501,649,282,502,649,800,504,180,282,500,503,800,502,502,501,16,649,800,502,501,194,509,500,649,500,500,107,500,500,500,502,500,649,800,763,503,500,800,500,858,16,649,501,500,501,566,502,500,500,502,800,500,800,800,500,500,649,502,500,502,649,501,800,500,502,502,500,503,503,500,503,502,800,500,502,258,800,500,800,503,800,282,893,500,502,502,504,16,501,502,500,649,51,502,172,502,500,502,649,838,103,282,473,282,500,503,500,11,363,649,503,649,500,649,500,502,649,502,282,800,500,282,500,501,503,800,16,800,81,501,501,16,503,502,649,318,649,501,282,800,16,500,649,523,800,501,490,649,282,503,250,422,502,500,500,502,501,997,116,392,800,800,800,503,501,501,501,423,502,501,320,501,942,502,503,502,501,503,502,16,500,778,649,800,800,282,649,502,501,502,501,501,501,649,502,502,502,800,800,501,32,649,649,500,504,737,501,16,500,870,502,649,649,221,800,503,103,282,503,649,503,16,107,107,503,502,800,500,649,500,500,649,503,502,800,503,501,501,500,800,503,800,521,501,502,180,503,800,501,501,500,503,649,800,800,503,500,500,695,649,502,800,500,501,16,500,500,282,649,377,16,500,800,800,649,649,282,649,743,649,503,122,502,902,807,952,500,282,502,800,771,547,649,68,282,501,339,282,800,649,388,500,649,500,282,503,981,501,502,503,501,624,503,501,16,649,47,15,503,503,501,620,880,503,649,503,637,282,502,501,16,501,502,503,502,503,16,501,649,123,103,502,649,649,501,502,500,800,800,649,800,500,735,617,502,504,800,503,282,502,501,501,649,272,168,502,16,427,503,502,649,800,504,649,501,502,500,501,501,500,16,502,502,374,800,500,502,649,502,501,501,181,500,500,502,500,649,233,500,503,800,500,354,800,502,503,282,159,503,649,324,504,502,501,103,619,503,501,800,500,649,800,501,501,501,282,500,649,503,502,124,502,500,503,282,503,503,800,503,502,501,503,504,503,504,502,502,503,282,282,800,103,500,16,500,328,649,501,500,503,282,501,655,649,800,501,649,649,198,503,503,307,502,649,502,500,800,282,501,282,649,282,649,501,16,498,500,649,800,800,503,614,16,502,501,103,800,44,503,758,501,649,800,16,649,860,282,503,131,649,501,503,800,502,282,503,503,504,649,501,501,649,800,649,16,800,500,503,649,845,500,282,649,16,500,502,649,500,502,500,503,649,282,500,503,800,501,54,501,504,501,800,501,501,501,502,222,16,282,800,501,94,331,649,501,500,287,410,800,500,503,800,649,501,503,800,16,550,501,501,503,965,501,227,649,996,418,649,649,502,386,500,500,504,282,373,728,800,501,649,502,502,662,800,503,710,800,282,500,107,818,502,762,504,502,894,800,649,500,649,44,649,501,656,502,503,502,800,800,503,378,649,51,500,501,502,500,501,500,649,116,502,649,503,503,500,501,503,503,649,282,503,649,500,500,282,111,16,282,800,501,500,282,85,501,500,500,264,282,503,501,800,957,502,800,502,324,16,503,503,503,981,282,503,786,755,649,649,503,501,107,800,282,800,649,501,503,502,282,282,501,212,501,502,500,649,502,500,681,282,282,160,800,502,940,503,649,503,500,833,500,282,800,500,649,800,502,688,565,282,502,502,503,501,800,800,500,502,503,502,800,500,282,502,502,502,412,503,500,649,503,649,16,16,502,800,502,502,500,282,363,800,243,500,501,501,501,501,223,503,16,800,502,800,649,16,502,16,649,504,195,503,500,502,502,282,503,501,55,503,502,108,501,502,800,800,503,800,649,500,800,649,503,502,503,503,500,282,649,500,16,649,502,503,502,942,500,282,502,858,282,500,649,16,282,282,800,500,800,282,282,501,447,500,503,503,282,599,501,262,502,649,800,504,212,800,282,800,649,282,500,282,503,100,502,649,282,858,500,800,503,500,800,503,502,503,649,500,800,500,649,500,649,649,649,649,882,373,501,502,800,502,314,502,649,500,649,502,720,800,501,146,502,503,649,503,800,503,501,503,649,500,892,282,503,500,800,501,392,501,649,858,502,500,517,685,502,282,500,501,502,649,800,398,800,649,800,500,4,807,502,501,502,500,502,649,800,500,800,502,649,501,107,503,800,503,807,282,282,502,500,800,800,277,649,995,67,501,16,502,800,798,282,216,501,500,800,800,500,129,502,800,503,800,503,16,649,500,800,649,500,502,503,503,649,501,502,500,107,649,500,282,503,502,800,503,649,503,649,502,500,501,503,501,267,649,649,800,800,502,649,282,501,282,500,800,502,501,500,501,16,500,16,649,649,649,500,503,800,500,503,500,800,76,502,501,800,503,503,282,503,502,755,649,282,500,501,502,503,501,500,500,983,501,502,500,501,500,649,966,500,800,649,503,842,800,501,503,16,16,501,501,800,282,501,179,800,800,500,251,800,676,332,502,500,502,501,282,800,504,503,502,892,501,502,632,800,649,502,71,503,738,649,500,486,800,550,16,502,800,800,978,649,503,722,282,500,502,649,503,501,501,502,16,501,370,500,282,502,800,500,503,504,500,186,323,501,103,649,649,502,502,649,501,649,282,500,502,535,501,504,649,500,502,500,501,503,503,649,503,282,502,378,85,16,500,649,446,502,800,501,500,504,503,800,503,502,800,800,500,500,502,501,501,16,800,501,503,501,826,500,649,501,500,140,501,503,502,504,502,800,501,500,501,501,649,974,503,500,800,503,503,501,500,500,966,649,502,800,453,502,500,282,504,502,282,649,800,282,500,503,800,282,800,501,649,123,377,743,107,500,502,502,503,800,503,404,502,649,579,649,371,502,501,500,504,800,649,503,649,503,503,502,501,500,800,282,500,221,800,771,502,503,96,504,503,502,503,16,267,502,649,503,800,649,248,502,282,503,501,291,649,501,502,500,501,800,800,541,800,501,501,503,649,502,800,579,502,282,503,502,282,502,960,800,16,501,800,800,800,500,500,649,938,282,503,800,800,503,669,649,148,800,851,16,503,502,503,120,945,649,500,504,502,503,501,500,500,502,501,104,501,500,649,501,800,504,503,502,649,503,503,16,503,501,458,502,500,503,107,501,649,503,500,800,16,500,649,500,649,800,412,503,502,500,800,649,282,282,502,649,503,800,649,501,500,502,500,107,501,800,245,800,100,503,500,500,800,174,504,503,500,501,416,649,500,649,649,649,800,834,800,501,812,823,502,393,500,500,503,353,800,500,501,800,502,500,500,503,500,500,800,243,16,503,800,800,500,599,501,503,500,502,330,502,500,501,519,503,891,503,282,176,282,501,800,800,500,705,800,501,282,800,500,649,502,501,501,501,502,800,500,503,501,503,500,500,771,503,503,569,500,649,502,503,128,502,500,210,503,500,649,69,503,649,282,649,764,501,649,500,502,165,503,501,500,501,107,501,130,503,800,501,800,800,501,800,16,649,503,649,502,464,501,800,747,800,501,503,503,503,502,282,500,502,649,502,800,500,503,617,502,500,500,776,264,502,800,800,16,998,502,502,216,649,282,500,649,502,800,502,500,503,800,649,502,501,500,649,503,875,282,358,504,503,500,500,500,800,649,501,724,800,282,282,859,503,503,649,465,649,800,501,503,501,502,502,107,501,282,503,501,503,392,282,107,501,531,503,502,502,649,504,502,759,800,501,502,649,502,500,800,26,649,649,649,502,503,501,649,503,16,16,16,649,503,500,500,649,107,500,500,449,800,503,487,500,503,853,503,503,705,649,503,500,800,502,501,649,500,649,282,649,503,535,503,500,649,502,504,649,503,502,800,326,800,501,503,649,501,649,649,500,649,500,800,800,500,500,500,500,500,503,800,501,800,502,502,501,649,503,800,649,501,183,753,501,800,500,500,502,500,503,503,501,500,800,501,503,501,325,503,503,500,503,500,800,282,500,69,501,649,500,502,282,502,503,503,666,800,16,501,500,958,503,501,403,500,282,503,503,181,970,649,502,980,503,800,800,159,500,985,282,16,765,503,101,503,503,500,502,285,503,503,501,502,800,800,800,501,107,502,503,649,800,284,503,501,402,500,800,800,649,649,501,500,503,500,501,501,649,800,800,898,523,502,503,800,504,649,502,502,501,501,800,504,502,500,500,649,500,502,503,502,500,16,502,501,649,503,386,649,500,649,500,215,282,800,100,503,282,649,894,500,800,800,832,284,502,500,502,649,501,502,500,649,502,501,503,233,670,501,501,649,503,503,501,800,501,504,501,800,649,282,501,282,503,800,500,20,501,910,16,500,800,649,500,715,500,501,500,107,649,501,500,501,501,501,800,349,434,502,502,142,500,502,502,649,503,705,566,649,330,501,649,501,16,500,503,500,180,503,649,501,282,800,649,503,502,705,649,705,501,502,649,16,500,649,503,503,501,503,500,501,501,800,502,16,16,800,711,649,500,501,502,800,500,649,800,501,501,502,16,502,500,649,501,501,500,502,503,502,16,282,800,501,800,649,503,502,500,503,800,107,501,501,502,230,502,244,501,16,504,503,649,500,501,800,501,649,500,282,500,500,26,500,988,503,500,500,800,502,501,453,501,800,502,900,649,725,500,649,501,501,502,502,800,800,502,502,500,503,502,800,649,472,29,500,649,502,500,500,504,502,503,501,501,501,800,537,501,503,649,503,519,800,501,501,500,800,501,715,501,649,501,282,502,428,501,800,729,502,311,649,282,502,500,501,503,502,649,282,503,502,503,800,500,196,800,539,502,501,16,501,503,502,649,502,501,649,502,500,500,800,800,502,502,501,800,500,502,502,502,500,502,649,282,800,503,501,917,501,503,649,502,750,439,500,69,191,282,578,501,707,503,503,282,504,800,501,502,503,501,503,504,800,503,282,502,140,16,502,649,500,649,850,500,649,800,800,502,282,502,500,503,504,282,282,16,503,503,649,501,503,502,501,282,501,501,503,649,408,502,500,16,503,16,282,800,649,502,649,502,786,500,800,282,503,649,687,504,500,503,502,502,502,112,500,282,800,771,808,649,500,282,800,500,755,502,16,649,500,502,500,504,107,800,649,503,16,649,501,500,876,503,800,502,16,502,502,649,504,503,479,649,503,649,107,501,800,348,503,502,503,800,776,500,502,800,649,503,500,501,398,503,501,502,256,502,282,800,504,504,282,282,725,433,671,960,502,500,503,500,649,503,649,500,103,16,16,503,501,500,107,16,501,501,649,501,873,502,501,500,649,502,800,501,501,874,649,501,800,503,800,503,501,82,649,503,800,501,500,501,130,282,16,571,500,107,500,323,502,999,800,501,502,568,800,284,503,501,16,649,500,503,367,500,502,502,500,503,649,504,500,500,282,502,16,282,502,502,800,501,502,503,282,649,410,345,503,649,649,800,649,800,649,800,503,502,800,649,800,16,503,502,282,503,500,503,103,16,649,500,503,649,649,844,501,500,800,503,502,800,503,173,502,649,500,501,16,417,503,503,502,501,500,800,282,503,800,649,282,94,501,501,504,800,501,800,402,282,649,502,501,500,800,503,282,500,16,282,800,282,282,267,502,504,53,107,29,501,800,500,503,649,500,768,500,503,800,800,501,503,500,627,502,501,800,501,501,649,282,649,503,500,500,502,500,800,649,500,501,282,683,649,500,504,503,813,800,800,800,282,504,502,649,16,500,503,282,503,502,503,501,500,404,502,282,500,501,282,800,535,502,500,196,500,800,39,503,649,800,502,649,500,800,501,514,504,502,103,500,500,500,800,800,502,503,649,501,649,649,800,320,503,649,649,502,16,503,500,649,649,502,501,282,800,800,502,502,173,800,500,649,16,562,503,500,649,501,500,649,282,502,504,500,649,500,503,500,649,649,502,501,500,282,800,502,502,504,500,800,503,813,800,649,649,502,649,500,497,504,649,504,800,502,902,500,501,501,907,501,478,503,649,504,500,800,282,649,800,282,649,501,583,16,800,649,501,503,649,649,502,500,503,649,502,501,800,16,500,282,355,800,16,503,181,502,501,282,500,501,649,500,282,282,800,16,800,649,500,282,16,282,649,800,502,649,101,649,16,503,282,500,649,503,502,502,649,282,649,649,501,800,16,653,500,500,502,502,502,501,503,649,503,912,503,800,503,502,504,2,649,500,282,16,107,500,500,800,856,800,800,501,800,649,800,649,502,502,649,500,649,282,716,500,649,500,503,502,649,502,282,107,502,502,502,649,502,503,500,282,282,800,800,501,503,501,826,503,500,502,649,363,501,649,504,500,649,500,649,687,282,500,649,282,501,502,649,649,503,503,649,503,502,649,800,800,649,649,503,373,649,501,649,2,649,649,501,500,649,800,649,501,500,282,503,282,107,827,45,501,817,503,649,800,500,202,282,581,649,5,800,503,502,649,649,649,800,503,800,500,503,800,501,503,649,16,503,503,800,501,649,470,995,415,354,368,501,502,649,16,502,800,502,502,501,500,649,503,503,501,500,501,800,502,282,501,500,282,503,503,503,786,649,800,502,503,500,649,649,500,649,800,501,503,800,501,501,537,220,502,501,504,347,502,800,282,649,800,503,800,503,502,502,107,500,503,502,282,16,282,649,16,64,649,649,501,502,503,649,912,502,649,301,800,649,503,503,501,503,500,800,800,16,500,501,503,807,501,500,708,503,282,838,502,500,586,932,502,500,501,554,574,501,800,504,500,500,503,500,649,649,501,649,501,91,649,502,502,500,501,500,501,649,800,290,503,649,503,501,538,16,501,504,649,500,502,501,500,501,502,504,503,503,16,501,800,500,16,500,882,800,800,502,501,500,502,16,649,544,800,500,502,500,649,501,502,800,503,502,500,649,501,501,503,501,501,792,649,800,502,503,503,502,649,500,611,501,800,502,111,649,770,889,282,501,800,502,502,649,800,503,870,500,103,501,501,501,503,503,744,500,500,800,800,501,503,16,16,500,502,16,649,985,800,800,500,800,19,501,503,501,502,501,503,503,912,500,853,193,800,503,503,362,502,500,282,830,502,649,502,503,749,501,502,184,503,800,418,501,501,500,503,502,649,500,800,500,582,800,800,649,504,289,890,649,504,500,501,503,503,502,649,501,503,503,501,282,502,503,649,502,504,460,500,800,500,500,500,500,500,649,55,649,502,502,500,503,237,800,502,503,502,282,503,502,501,502,500,501,649,503,500,501,504,502,504,502,501,502,500,282,501,501,800,649,800,282,800,502,649,501,800,502,800,800,800,800,503,800,502,38,116,500,500,500,501,503,500,501,649,503,208,500,966,800,649,502,502,501,661,310,800,503,500,649,503,649,800,503,503,800,501,282,16,501,649,500,503,504,500,282,502,503,500,114,502,800,502,800,501,282,649,281,671,282,649,484,500,503,16,282,500,800,501,429,500,800,649,502,503,800,503,806,502,503,649,503,66,649,649,502,917,282,504,649,649,49,501,649,503,502,501,649,800,574,503,503,107,768,800,649,705,800,649,800,649,649,611,502,800,282,282,503,649,800,892,282,649,282,234,502,502,615,501,503,649,649,501,503,504,800,500,649,649,503,500,501,503,282,107,502,501,282,282,649,57,800,502,503,386,503,500,649,505,649,500,649,103,503,504,501,912,502,503,500,282,502,501,649,764,500,502,503,107,500,818,503,800,500,500,800,488,800,502,282,649,502,649,282,503,501,500,501,465,800,649,783,501,16,597,252,800,859,351,503,501,575,502,649,501,500,282,800,800,968,800,503,649,806,500,502,500,409,800,800,282,501,501,501,649,502,649,16,103,501,178,281,800,503,503,328,501,61,649,800,503,501,500,503,800,501,502,800,502,500,500,103,649,502,502,800,800,345,843,500,501,800,649,800,800,501,501,501,502,800,501,501,649,503,502,501,502,503,16,649,800,503,612,503,503,282,466,649,500,800,500,502,502,649,500,800,500,649,501,503,503,502,503,167,503,649,502,649,193,501,800,500,649,282,503,649,649,807,502,501,503,800,502,282,282,282,282,800,501,282,649,503,800,502,649,501,623,16,800,501,500,501,501,500,317,501,800,16,81,500,649,502,502,649,502,250,800,649,502,649,501,502,501,16,538,503,282,649,500,500,503,800,800,503,304,503,649,501,500,503,107,503,501,282,501,503,504,501,501,649,502,116,834,501,502,282,500,502,16,503,501,503,282,649,500,649,501,16,502,500,502,502,649,449,649,800,503,800,503,800,282,107,649,501,649,800,282,501,500,649,626,492,503,502,596,649,503,504,502,649,800,501,103,649,705,501,800,500,502,503,502,501,649,800,556,503,501,655,500,501,500,503,800,500,500,500,649,501,503,501,107,874,502,500,282,16,282,800,800,282,16,800,19,504,502,502,975,501,501,649,501,500,501,874,503,282,16,503,501,649,501,800,503,502,502,500,500,132,501,501,800,800,800,501,503,282,839,503,502,500,649,420,503,500,501,501,502,16,502,800,500,649,282,500,501,649,649,800,502,501,501,282,502,649,501,501,800,299,503,503,501,503,500,649,501,800,800,649,500,649,502,16,649,649,800,282,502,501,800,649,107,504,503,503,649,800,282,649,383,800,500,503,649,649,649,503,649,518,649,501,282,800,501,501,85,322,800,503,140,501,502,800,16,649,503,282,649,503,16,504,282,503,649,500,503,649,800,16,649,649,500,509,503,500,16,664,282,282,426,502,800,502,500,282,800,502,500,649,800,177,331,501,502,502,500,500,500,16,800,501,649,501,282,865,282,981,504,107,503,937,16,800,649,503,503,74,503,503,502,503,501,649,800,900,503,503,503,503,282,282,313,501,649,556,800,501,502,660,800,800,282,503,649,502,501,16,500,800,503,502,282,282,503,504,501,800,502,649,501,501,501,503,501,551,364,282,503,500,649,800,500,503,650,282,282,502,800,503,500,503,649,500,502,103,754,501,502,375,500,577,800,800,503,502,501,800,502,107,76,502,864,503,282,501,639,500,501,800,500,502,502,800,500,800,503,501,500,649,800,800,501,500,501,800,500,649,649,501,97,16,800,501,501,503,501,504,501,649,649,649,800,500,649,503,649,501,107,501,503,549,649,500,503,502,893,501,649,140,500,500,501,800,649,649,501,649,649,282,503,501,282,16,502,501,503,649,503,500,649,649,502,500,502,649,649,502,501,502,649,649,282,800,502,153,800,503,500,16,282,501,501,649,282,482,501,502,282,503,502,500,501,502,649,501,501,503,500,16,564,503,16,501,500,800,636,443,500,504,500,649,649,649,800,653,503,296,649,800,501,649,107,502,500,800,649,503,649,552,800,500,904,503,705,500,46,501,501,500,800,660,502,956,677,500,503,501,503,501,16,800,263,500,503,640,649,503,502,649,16,800,898,502,800,103,16,282,502,800,649,501,800,649,800,282,501,502,500,503,503,222,501,704,144,467,649,504,502,282,504,502,503,800,282,800,502,502,103,501,649,502,502,282,503,16,501,649,502,16,503,504,502,501,612,649,501,502,501,354,684,503,649,649,381,501,800,500,649,800,502,649,103,92,502,460,649,501,501,502,649,800,800,500,800,500,800,503,500,800,364,502,649,501,501,500,501,500,649,282,800,649,649,500,800,107,800,502,800,500,502,502,503,649,504,282,649,500,800,502,502,800,649,503,282,502,649,500,503,118,16,800,800,500,501,190,504,649,501,500,800,501,502,502,800,501,677,800,649,649,503,282,502,502,649,392,500,500,534,500,649,502,501,800,504,129,501,500,500,934,500,503,502,649,503,282,800,500,503,16,504,500,503,20,800,504,131,500,502,500,502,282,631,501,500,649,16,16,954,501,500,595,56,879,502,800,502,501,800,502,502,501,322,649,502,500,672,800,502,649,502,282,502,500,501,800,502,501,502,282,927,503,649,501,502,16,500,649,500,500,503,282,503,649,501,500,482,16,800,500,800,649,16,503,504,503,504,632,800,501,405,500,707,500,503,107,500,502,800,704,503,500,500,973,649,800,800,501,800,649,207,503,649,501,800,502,502,501,500,649,185,503,16,557,503,867,800,282,649,649,945,501,500,502,649,282,503,503,800,503,649,501,937,503,503,500,649,500,649,500,557,800,500,649,502,800,503,500,282,502,503,500,977,649,247,501,649,649,800,16,500,534,16,16,501,16,282,800,16,282,142,282,649,503,500,503,282,904,502,502,800,501,500,800,649,320,503,772,501,800,282,455,607,501,800,282,282,649,503,502,282,503,501,501,503,282,282,502,503,800,800,502,502,649,501,16,502,282,800,502,649,501,500,501,504,649,282,673,649,501,501,502,502,649,503,500,502,649,282,500,501,501,502,282,282,649,501,800,501,918,819,865,673,500,649,282,503,369,807,800,282,503,502,500,500,192,504,800,800,16,503,502,282,501,501,500,500,649,501,741,649,503,649,501,800,501,649,502,500,800,649,501,800,501,501,362,500,503,500,800,650,649,500,649,432,282,649,500,295,800,500,649,502,16,282,649,282,500,502,501,503,282,503,649,502,503,649,800,504,815,503,502,503,500,500,649,503,282,649,500,537,502,282,502,502,800,503,501,500,501,501,502,503,503,282,502,500,784,500,800,500,502,120,503,502,663,502,800,504,502,456,282,16,282,16,503,503,503,502,500,501,500,501,649,503,748,500,500,800,500,282,501,282,502,649,501,500,649,800,649,501,503,649,502,649,649,503,503,828,16,500,501,800,501,800,500,500,649,503,800,502,649,500,500,800,65,503,502,236,282,772,503,649,16,504,941,800,282,800,386,502,502,16,502,649,16,504,503,800,501,501,649,501,500,500,649,500,500,503,282,730,503,282,242,264,282,500,500,282,960,800,649,974,503,500,500,500,502,800,503,16,501,800,80,282,649,985,848,649,501,503,501,503,503,187,282,107,502,501,939,501,503,800,501,501,282,500,649,645,502,502,107,501,649,501,502,500,800,649,16,649,501,800,503,649,500,800,501,503,16,633,649,16,800,282,500,501,500,649,502,800,501,501,575,500,245,845,107,649,376,649,276,173,268,501,503,649,906,800,501,503,501,971,426,503,223,503,500,503,800,501,800,800,565,504,649,501,503,649,282,503,503,282,502,563,500,504,501,502,502,503,502,567,649,503,282,800,800,501,691,501,532,649,501,195,976,712,790,503,501,800,493,502,571,502,502,501,502,503,649,502,800,503,500,500,800,502,854,502,500,504,500,502,649,888,16,503,804,501,503,503,503,500,503,800,800,282,649,500,649,500,501,800,502,500,502,350,116,16,502,504,581,800,501,669,14,412,502,503,800,503,282,502,735,502,504,800,500,649,800,649,500,425,501,649,464,500,503,502,503,16,649,649,502,502,800,502,649,649,502,649,500,501,504,800,502,658,649,500,590,503,800,500,500,649,503,649,503,501,649,504,107,649,501,649,800,282,502,312,502,502,502,501,649,104,79,503,16,500,500,503,649,16,649,649,502,800,500,649,501,800,649,500,649,649,649,464,500,649,503,502,503,502,354,500,502,500,500,504,502,800,656,501,502,649,16,500,800,800,16,503,282,800,504,500,282,503,503,171,503,16,800,707,502,107,502,684,501,502,282,503,800,800,500,800,503,649,800,502,504,800,502,864,501,800,503,500,503,800,756,502,503,800,501,501,800,503,282,503,500,649,501,502,500,501,262,649,735,656,502,649,501,317,503,503,504,371,500,500,787,500,500,446,649,649,502,800,501,103,800,500,649,503,500,502,501,800,502,502,649,649,900,800,502,503,500,500,649,502,501,282,649,40,649,800,179,282,503,592,800,625,501,502,502,503,800,500,503,501,800,501,503,282,649,500,501,503,800,501,649,502,649,16,504,649,502,500,649,16,503,16,800,649,500,800,501,107,503,800,504,800,649,785,800,500,16,503,649,285,649,59,219,501,503,800,501,800,16,500,503,800,501,649,501,214,500,916,502,503,501,502,500,502,758,501,501,504,160,649,363,501,431,649,531,800,282,501,358,500,500,282,105,503,649,502,649,649,500,500,501,503,501,120,502,501,503,282,16,649,800,626,503,477,502,500,503,500,649,502,503,649,500,383,500,705,502,501,503,500,501,501,500,501,500,502,500,405,500,649,16,502,649,800,948,351,185,649,16,421,886,282,501,502,500,500,503,501,695,16,649,649,763,503,649,526,502,502,502,800,502,500,502,16,501,500,502,649,282,502,649,649,205,503,800,406,649,800,500,501,772,800,282,501,503,502,502,500,501,500,502,334,649,800,501,503,503,501,282,482,834,282,500,502,282,503,502,696,800,502,282,501,500,501,16,547,800,542,501,649,800,51,500,500,800,500,500,503,503,502,94,503,502,800,503,500,502,282,502,503,500,649,649,857,500,649,503,649,503,16,503,501,500,500,500,503,503,500,282,800,500,500,500,800,282,800,502,282,800,502,806,501,501,501,500,500,503,500,501,501,503,800,800,502,649,502,503,500,502,500,503,502,501,501,502,649,649,376,503,500,502,503,501,500,500,649,502,503,649,502,631,51,705,502,504,103,458,649,503,500,348,500,800,504,500,501,501,649,500,500,501,501,500,500,649,694,503,501,402,649,282,107,504,502,500,503,649,800,503,502,282,628,282,502,501,800,649,649,502,649,647,649,297,501,503,771,649,502,649,103,649,503,649,733,284,705,800,159,503,503,608,9,502,500,649,502,502,800,649,282,649,500,282,794,503,501,500,282,649,501,500,502,502,649,649,879,502,282,731,800,504,800,501,504,500,504,500,800,273,649,503,649,16,503,800,503,500,502,502,501,500,649,800,16,502,503,501,800,500,36,501,502,502,503,282,103,649,503,800,294,503,503,282,503,500,501,177,714,501,282,502,649,282,496,501,669,649,920,223,501,503,500,649,649,649,502,503,501,502,649,502,502,502,503,500,282,800,800,501,895,800,276,502,800,500,500,800,800,446,282,648,800,503,107,503,649,649,800,800,287,503,501,502,500,503,649,503,649,500,502,649,800,500,503,502,16,16,501,649,501,500,504,989,800,282,503,502,501,419,800,16,501,501,502,500,282,500,502,864,832,567,500,501,500,500,502,649,503,503,107,500,501,800,499,800,502,649,504,800,914,800,649,649,800,358,502,500,649,800,800,800,500,800,794,501,501,501,800,500,501,283,649,502,800,16,800,648,500,16,500,649,800,800,502,649,500,649,500,282,501,501,500,502,16,501,501,282,501,282,800,458,502,649,502,502,282,503,502,500,867,894,270,503,502,800,282,572,282,649,534,127,282,502,502,503,649,502,649,16,503,800,501,500,282,502,282,503,502,500,815,649,502,500,800,308,502,503,501,649,16,500,501,502,502,800,501,649,501,503,502,501,282,502,502,649,503,502,501,902,500,213,962,282,649,649,500,649,502,501,800,500,502,504,800,502,503,800,501,502,282,500,500,800,503,51,765,502,649,649,502,582,649,501,501,503,501,103,16,502,500,503,800,501,649,501,503,800,503,502,649,282,732,16,318,500,282,500,500,501,500,282,500,502,282,500,500,502,649,649,282,649,503,502,502,500,800,304,502,993,502,502,282,282,402,501,649,500,800,107,832,502,16,502,503,16,282,649,503,250,282,282,504,501,649,800,500,800,800,503,503,919,800,86,800,16,973,281,649,282,211,501,16,649,503,500,800,500,503,501,800,502,502,282,503,503,176,649,151,500,649,500,500,649,377,649,800,649,800,649,649,503,649,282,500,649,617,431,501,501,503,282,800,501,16,649,800,148,502,500,800,800,501,282,491,649,501,501,649,800,500,503,500,500,800,217,500,649,649,501,649,502,562,649,649,500,503,502,282,503,502,500,503,800,800,502,16,500,501,800,502,501,649,649,282,800,107,148,503,501,503,800,16,800,282,800,649,500,380,501,415,500,500,800,502,500,649,503,502,896,354,16,502,502,502,469,649,800,502,502,502,107,800,501,503,502,649,16,502,501,800,649,800,282,502,649,501,649,503,282,501,502,501,16,503,501,828,502,800,800,800,503,800,501,502,500,649,649,872,800,723,517,501,992,16,649,107,649,501,649,649,503,800,727,502,500,497,503,649,502,503,503,503,503,800,501,500,502,502,282,503,800,501,502,501,214,500,503,800,501,500,282,502,35,500,503,976,503,649,500,649,501,800,800,800,501,502,502,503,155,500,800,503,791,503,800,501,504,503,500,800,649,500,500,503,202,250,500,502,502,282,501,471,649,25,649,649,800,502,502,501,500,107,282,501,800,649,381,282,500,501,649,502,282,649,800,34,502,758,503,501,504,501,503,503,800,500,107,500,16,500,649,500,649,501,501,282,100,282,501,203,138,503,502,501,500,500,139,800,502,501,501,501,502,502,503,502,501,502,16,649,16,502,31,800,800,500,282,151,103,282,502,502,800,649,800,502,502,800,503,649,800,649,800,500,502,649,501,502,502,649,501,502,800,800,282,800,503,282,501,504,3,243,504,800,502,800,504,649,800,649,79,524,103,500,800,502,649,503,503,502,800,501,649,502,282,501,501,649,501,501,502,534,503,800,800,503,263,502,368,649,800,398,16,500,503,502,502,501,502,16,502,500,501,649,503,649,500,282,502,503,649,800,500,282,503,800,823,500,503,103,502,502,501,503,503,503,649,503,501,501,501,234,500,502,16,775,502,502,502,500,500,500,501,500,800,37,800,503,503,500,502,502,503,501,103,949,501,501,282,502,503,800,502,649,649,504,649,649,722,649,282,282,800,501,461,503,32,500,500,503,501,502,649,500,502,579,800,800,616,502,649,800,800,800,649,503,248,77,649,800,16,500,504,501,800,502,503,649,649,282,649,800,503,500,800,182,502,800,501,944,501,649,800,500,854,650,800,649,973,649,502,503,500,503,502,503,503,800,502,800,501,649,800,503,800,800,375,800,503,16,282,649,503,800,502,503,885,503,501,282,503,800,800,800,16,649,16,503,500,503,107,503,800,503,503,800,282,606,502,220,800,503,679,500,800,503,764,502,500,89,800,787,66,502,116,500,500,864,800,500,649,282,503,502,503,800,649,378,501,501,649,800,503,649,822,103,501,500,509,503,501,649,501,503,649,500,502,501,649,800,530,649,86,502,503,965,504,502,503,501,500,282,800,501,502,416,800,500,502,502,500,612,501,282,503,871,503,377,649,441,503,502,500,16,503,426,500,504,503,649,800,502,649,503,649,500,282,800,504,500,502,503,501,800,800,16,800,501,649,16,800,502,649,503,501,500,16,864,649,649,503,501,695,887,888,649,800,500,16,502,282,502,16,103,649,16,800,800,501,34,800,282,649,800,436,502,800,425,503,16,503,503,649,649,151,503,649,503,501,504,800,282,224,147,500,503,501,649,282,500,500,800,282,500,501,755,501,502,501,16,503,800,107,649,502,800,649,502,502,649,500,282,501,501,502,245,649,800,649,649,500,502,501,502,282,501,503,503,649,108,649,786,800,895,649,649,16,503,504,282,649,501,501,649,649,500,800,503,500,501,800,500,500,649,500,501,649,748,503,649,800,282,649,343,501,501,875,502,800,282,282,500,800,649,501,16,502,501,500,503,246,503,406,649,502,800,500,649,500,500,500,664,458,500,800,501,800,800,282,649,500,500,500,501,500,282,501,649,107,503,503,16,502,649,500,501,502,849,747,16,705,800,284,649,107,800,800,800,649,501,107,800,649,16,501,500,500,500,502,800,649,501,800,16,886,649,503,649,502,800,501,502,379,501,502,649,800,503,500,501,504,603,649,800,502,649,649,500,903,500,282,501,502,502,502,800,381,502,649,282,500,500,502,500,589,377,197,502,503,500,572,575,500,503,649,501,502,282,501,501,501,800,503,912,800,649,282,501,588,500,282,800,649,500,649,501,501,503,459,501,501,649,599,649,502,503,502,649,500,800,800,800,282,800,9,604,501,501,103,500,649,649,502,500,501,500,649,280,253,748,282,500,649,16,282,800,774,501,800,501,503,501,503,800,800,500,504,649,282,501,649,282,502,503,500,649,282,649,502,282,500,501,800,800,500,503,500,503,500,18,500,504,501,501,800,501,800,503,109,678,503,649,649,500,800,501,661,649,501,649,941,800,500,500,800,501,500,500,748,356,500,502,500,501,800,503,800,800,649,503,16,649,502,16,500,393,484,800,500,504,501,800,504,500,649,158,500,800,202,649,501,800,674,500,500,107,503,500,503,226,530,500,282,16,34,800,675,503,503,502,502,800,503,16,501,282,502,649,503,501,282,503,501,503,503,649,649,501,282,282,649,800,649,282,649,500,649,649,800,16,800,800,230,500,800,500,503,840,649,501,503,503,649,800,501,800,44,649,501,500,425,502,500,107,503,502,103,503,503,649,503,649,500,649,649,968,282,502,501,502,649,500,502,501,500,282,649,502,502,501,330,502,501,666,500,865,503,500,282,349,502,502,501,800,800,282,500,649,649,649,503,502,500,504,282,282,649,649,502,649,501,649,500,502,503,500,502,649,501,282,502,800,503,16,500,501,649,503,941,501,500,502,16,502,800,649,711,501,502,767,800,16,500,800,282,107,501,649,501,800,502,501,649,649,503,500,502,107,649,502,229,501,503,649,502,800,501,479,500,500,503,504,800,649,649,800,649,503,501,282,501,502,502,800,282,800,800,503,502,649,800,500,16,500,800,800,502,800,178,800,503,503,501,501,282,800,501,502,649,800,503,743,649,503,503,501,501,503,503,800,800,800,503,800,502,501,649,649,503,502,501,649,107,503,502,282,800,502,35,500,16,282,501,12,282,800,16,500,502,649,502,500,282,800,282,649,502,279,503,500,503,800,503,503,649,467,503,800,502,649,501,649,503,503,502,800,502,574,783,649,501,502,800,282,800,500,501,503,966,503,500,500,649,500,649,500,649,500,503,503,501,282,502,504,504,500,800,800,500,501,800,800,501,936,800,501,107,800,282,649,501,800,501,800,594,503,303,649,501,503,649,503,501,647,501,503,501,649,649,462,502,503,637,501,503,237,503,500,500,501,500,649,500,800,500,501,126,503,503,502,649,282,502,649,503,282,649,800,649,649,800,503,501,501,800,784,16,649,502,504,500,500,649,500,282,649,16,501,500,500,26,664,649,800,800,500,282,501,502,107,502,501,500,800,503,501,500,502,500,282,501,107,504,501,502,503,800,500,800,282,283,800,643,800,503,292,500,502,503,161,500,502,501,800,185,649,16,502,502,800,501,504,502,502,500,16,649,502,800,800,16,501,649,501,504,502,796,649,282,501,503,504,501,282,649,800,184,500,800,649,504,502,501,502,800,501,282,501,649,501,649,503,502,503,649,649,500,271,649,510,282,501,800,282,500,502,800,502,54,503,649,500,800,502,501,503,503,500,503,282,282,121,500,282,501,503,800,282,500,103,282,503,282,501,503,503,800,500,503,502,800,282,649,649,503,502,501,800,550,449,502,503,800,800,800,649,501,500,16,500,500,800,500,502,502,16,649,501,16,503,800,503,501,782,649,800,405,501,501,282,282,282,503,800,502,502,500,649,502,503,649,500,501,389,867,649,649,500,649,500,501,16,502,501,649,16,649,16,649,649,501,503,501,800,501,747,500,800,502,503,500,501,500,515,16,649,282,503,800,502,649,502,502,649,503,687,800,282,503,502,501,501,853,9,649,501,282,787,500,504,649,501,501,503,421,97,601,649,255,500,501,503,502,649,800,743,504,501,649,503,500,89,800,501,501,800,503,282,501,501,800,800,503,800,800,824,282,16,115,800,500,282,800,649,502,502,500,500,649,503,500,500,502,502,284,800,504,282,502,136,752,705,800,503,649,500,649,649,957,503,502,800,649,501,500,800,282,501,800,649,800,501,649,800,502,800,503,705,982,500,500,649,500,649,649,259,649,800,825,800,503,282,500,66,501,501,800,649,502,502,502,500,16,502,502,800,800,432,503,500,503,502,692,649,649,800,400,502,16,642,501,500,800,503,503,500,649,501,500,501,500,482,502,800,649,503,503,502,500,649,838,503,800,500,800,500,502,103,800,282,501,501,282,370,800,800,502,282,616,508,800,193,502,501,103,500,502,306,501,614,800,501,30,800,282,500,503,283,500,800,282,800,503,282,21,16,800,649,500,502,848,501,38,502,500,502,502,649,649,502,282,800,503,282,800,501,501,501,904,503,502,502,649,502,503,800,16,649,864,282,800,503,649,282,282,800,368,500,378,503,527,180,649,800,800,107,501,504,500,107,503,282,503,428,649,282,503,503,649,502,232,800,800,800,500,500,800,800,800,500,957,503,360,503,800,502,649,502,649,502,800,649,500,502,504,16,263,151,502,502,759,649,503,282,500,445,502,780,282,501,500,649,649,282,699,503,503,800,503,501,649,502,800,501,502,649,503,649,711,800,501,649,849,16,502,503,451,500,500,502,649,282,502,649,500,501,282,705,800,282,501,771,649,282,504,649,282,800,103,502,503,501,10,501,282,500,503,826,16,677,503,501,800,649,500,800,500,604,502,500,502,984,800,649,282,800,502,501,501,282,649,800,800,800,16,501,500,800,649,282,274,502,502,502,800,500,501,282,502,525,107,500,502,501,501,649,500,649,282,282,430,503,500,845,501,500,649,649,649,649,800,501,103,502,501,500,79,500,502,282,649,501,947,800,500,649,649,649,800,800,800,649,502,501,649,503,500,649,501,501,500,504,16,503,177,685,16,500,502,282,407,761,501,376,501,501,500,503,263,503,501,500,539,500,502,563,501,751,501,500,501,800,649,502,501,107,16,649,503,784,282,503,800,501,282,502,501,649,501,502,502,649,501,800,800,649,500,502,500,605,503,500,800,502,503,501,502,501,776,501,502,501,282,649,800,748,500,500,500,503,800,800,597,500,649,649,800,649,282,502,800,502,282,500,500,323,502,502,187,800,16,503,502,16,503,282,649,800,500,282,502,503,800,649,503,649,500,649,107,500,501,37,503,649,502,503,752,500,800,894,503,501,502,915,503,649,282,500,282,16,800,504,103,282,502,106,501,503,502,649,457,504,502,503,800,800,649,503,502,649,502,501,502,502,800,503,282,503,649,800,503,483,501,649,504,160,501,503,504,800,103,800,503,800,502,501,800,503,500,501,220,282,503,501,502,282,503,502,16,800,371,216,223,800,501,501,501,501,502,800,501,500,502,501,503,800,500,16,501,689,16,649,282,578,501,282,800,502,501,649,800,800,941,500,649,649,500,649,501,501,500,800,502,502,502,501,16,649,649,594,649,500,282,282,282,503,503,649,649,649,282,250,503,504,503,282,502,800,707,502,282,649,649,502,517,649,501,296,800,800,501,16,16,16,502,501,500,800,502,502,800,134,649,501,264,501,502,282,501,501,282,800,800,649,501,649,500,282,503,103,456,500,800,282,649,821,501,649,501,502,500,866,462,800,503,550,800,800,500,800,265,501,500,282,503,904,716,800,800,502,500,705,501,500,649,800,541,501,847,501,503,649,501,282,649,503,500,500,800,500,225,800,708,500,501,501,604,501,502,800,800,649,501,500,800,25,282,649,282,282,800,282,500,500,67,502,500,649,502,502,649,500,500,501,649,501,502,800,282,503,502,502,500,800,380,649,501,649,502,503,16,800,501,649,16,800,503,649,800,501,503,501,501,254,502,282,649,800,800,180,649,502,939,282,649,800,503,501,138,503,500,501,282,282,500,503,649,501,306,649,503,16,16,502,502,649,503,502,503,502,800,649,502,106,501,502,500,502,502,649,282,91,501,501,501,800,501,649,282,500,504,503,303,800,649,500,500,501,107,500,800,16,649,503,373,649,503,650,800,503,501,373,166,16,501,501,800,649,800,592,956,503,649,800,503,948,649,800,649,502,501,800,800,502,501,282,501,500,502,282,501,502,554,800,16,649,502,649,649,282,500,800,502,503,649,699,567,800,502,649,502,502,503,16,501,501,503,501,500,503,501,282,16,16,502,500,502,500,667,690,501,649,503,502,800,501,503,649,502,282,501,773,503,649,501,282,64,800,503,220,500,16,649,504,915,503,502,502,649,178,503,282,502,747,16,649,800,500,800,502,501,502,800,302,249,501,282,502,504,501,500,503,501,16,503,800,503,500,504,501,282,649,500,800,503,503,500,649,502,800,649,501,649,800,501,705,16,501,503,503,500,649,649,939,598,501,953,16,503,502,503,282,132,649,649,800,502,500,16,494,282,488,500,501,501,500,649,500,649,500,282,800,501,502,800,705,501,800,649,16,501,500,500,649,502,800,16,649,501,282,502,500,282,800,282,501,282,282,16,502,107,503,500,649,800,103,649,800,649,500,501,254,500,502,503,500,500,630,503,501,503,501,800,649,282,800,501,16,500,501,649,500,501,500,649,649,503,282,501,501,800,649,501,503,718,502,282,467,503,824,282,503,16,282,503,282,649,500,500,500,649,501,800,290,800,649,503,503,103,502,502,800,898,501,503,502,649,100,502,502,501,649,503,649,800,502,501,501,504,500,501,503,503,502,500,800,501,500,503,16,649,502,500,501,649,800,16,800,502,649,329,504,567,800,725,649,502,591,503,800,434,800,649,500,649,503,503,649,649,501,951,16,503,503,282,103,800,503,503,501,503,282,501,800,282,501,503,503,502,501,502,503,649,649,465,282,282,501,960,800,649,116,501,502,800,504,649,501,649,800,649,503,282,502,501,282,501,502,649,800,474,649,202,209,649,871,501,501,501,503,501,500,500,16,800,800,501,503,800,649,502,500,501,649,730,350,649,503,800,611,166,294,649,501,501,501,501,878,800,503,649,649,16,502,649,800,501,649,500,501,500,649,502,502,503,800,16,503,107,503,500,16,649,503,649,500,562,800,502,500,16,649,484,649,500,503,649,500,500,649,503,282,623,502,503,582,502,649,500,800,503,800,503,503,502,682,500,649,103,500,502,502,501,503,649,504,404,800,501,800,503,502,500,43,800,500,649,503,85,502,502,501,502,503,649,503,282,649,461,503,282,501,502,501,500,503,500,800,649,503,799,502,649,807,14,502,503,649,16,501,800,649,794,649,500,1,500,282,500,45,800,503,502,585,502,16,16,282,800,502,649,502,694,282,503,282,800,649,502,16,800,501,800,649,649,500,501,502,500,616,500,501,502,503,649,503,538,800,800,31,649,502,649,501,649,800,143,502,649,800,649,502,503,503,503,504,649,504,502,500,501,501,503,800,501,502,16,800,504,501,282,502,501,501,501,502,503,800,500,502,500,282,502,283,800,800,502,16,800,502,649,500,649,500,800,271,49,107,503,282,800,800,649,501,800,501,501,800,16,649,501,793,500,282,501,502,501,735,649,800,501,501,502,500,500,282,351,500,501,800,649,501,502,282,649,503,503,503,848,649,800,502,500,800,800,26,649,649,649,282,104,500,800,501,649,503,649,800,504,790,701,282,501,503,502,503,500,500,501,502,16,800,501,502,502,649,282,649,649,649,16,503,16,649,799,282,282,800,500,502,221,503,103,502,800,800,501,649,800,502,503,502,16,503,649,649,800,800,504,800,649,282,501,649,107,929,800,501,500,502,501,800,503,502,502,800,649,649,503,255,800,503,500,106,502,502,500,424,649,891,503,649,800,502,649,649,800,501,500,282,501,502,904,500,457,502,649,501,800,501,649,501,800,502,502,503,501,503,501,500,504,282,501,500,843,501,649,501,649,649,503,800,501,503,800,800,500,649,282,924,800,800,800,705,649,433,16,500,800,16,282,800,649,800,823,501,500,503,800,500,649,500,502,500,501,800,410,800,501,501,553,502,282,649,502,800,16,800,500,501,800,502,502,800,653,800,282,500,501,501,501,502,282,768,649,500,649,501,500,501,70,502,800,649,500,282,955,502,800,502,501,800,121,800,502,765,500,282,502,502,502,241,503,460,107,502,800,501,501,800,502,671,532,649,334,800,501,501,800,503,16,649,138,500,502,649,282,282,282,397,500,649,282,531,107,500,649,501,788,649,282,503,500,504,502,649,649,649,282,503,800,800,425,800,120,649,501,800,502,800,649,733,504,500,107,649,503,503,800,649,501,800,500,282,649,282,800,502,800,211,501,503,503,649,500,502,282,503,222,800,501,582,800,649,800,501,503,502,501,502,282,500,282,500,800,501,339,649,800,282,16,503,503,503,500,800,282,800,500,16,603,500,800,649,501,282,501,649,771,71,800,500,500,501,501,649,501,502,759,503,649,649,800,282,649,503,503,414,502,800,503,800,649,649,500,887,501,800,16,649,16,50,107,463,503,503,800,501,800,503,800,502,282,822,16,502,502,503,709,800,16,668,500,649,800,501,16,503,587,503,282,502,501,649,800,501,502,215,503,500,501,503,504,282,16,649,16,503,502,800,503,501,649,500,800,501,282,500,503,165,502,501,649,971,705,500,800,282,501,500,282,282,500,282,502,458,503,649,282,16,502,282,503,500,581,500,502,800,649,463,130,800,438,502,503,501,501,503,800,649,503,504,73,502,649,500,503,16,800,502,503,282,500,16,722,502,582,649,649,502,503,282,649,800,502,502,501,501,500,500,503,602,16,503,486,502,500,500,502,503,500,502,502,649,502,500,500,79,929,282,649,503,501,649,501,503,1,336,807,503,800,282,800,282,502,503,502,800,800,800,503,649,502,502,501,282,500,503,649,800,503,501,504,503,500,649,502,800,800,501,475,800,503,500,502,500,800,800,500,103,282,649,800,503,500,501,221,503,501,649,501,502,649,502,503,502,800,501,500,502,500,502,794,502,800,800,503,649,103,502,501,503,449,503,501,502,500,16,649,649,649,282,502,16,800,503,638,502,500,52,649,734,800,649,800,501,649,502,501,649,501,282,835,501,502,800,282,502,502,108,501,800,66,501,500,324,503,502,502,282,16,221,501,500,800,16,66,609,282,649,501,800,503,800,500,502,501,500,503,649,502,282,501,649,282,500,649,649,501,649,800,500,513,107,502,16,500,500,503,500,649,649,649,502,783,800,282,501,500,500,501,500,16,502,500,649,649,501,16,501,503,500,705,800,800,502,500,135,501,199,501,502,503,800,502,501,16,501,800,282,649,649,501,503,649,501,649,501,501,501,502,502,800,649,502,503,500,440,16,282,800,374,503,500,500,502,501,800,500,649,503,502,503,501,800,282,282,800,502,800,501,764,502,500,800,502,107,538,500,502,500,502,502,502,500,649,501,502,649,501,502,800,188,501,502,716,503,501,649,16,282,502,800,500,501,892,649,800,148,649,501,51,501,800,16,502,466,502,500,500,502,501,282,282,500,800,500,510,800,500,500,502,800,649,649,503,649,538,800,503,503,503,502,503,649,503,649,649,649,290,800,500,503,800,500,503,501,649,500,800,800,502,649,500,500,502,649,800,501,800,502,503,502,800,502,649,800,800,502,800,250,501,282,503,800,501,649,800,649,800,16,282,800,800,887,501,389,16,518,501,502,282,502,503,501,16,501,16,502,284,16,500,502,649,500,502,493,502,501,500,502,649,645,417,486,743,501,649,504,500,282,501,800,649,536,502,800,107,501,649,503,502,502,800,502,500,16,501,502,896,282,502,500,275,501,848,800,800,502,501,503,502,500,282,500,503,649,800,500,519,800,502,282,500,502,800,705,800,649,800,500,800,503,800,504,502,504,501,649,500,502,800,197,800,502,489,502,813,503,502,502,502,408,500,975,649,502,282,649,282,439,649,282,502,649,500,501,500,501,649,502,503,800,460,649,800,500,649,649,500,649,316,500,502,715,649,649,500,503,501,800,503,501,40,500,555,800,500,649,468,649,253,501,502,574,747,501,722,800,502,16,500,649,501,502,501,502,502,500,503,282,503,79,392,649,500,800,501,16,800,500,502,500,502,800,649,502,16,503,649,800,282,500,947,502,503,800,502,501,649,503,649,16,800,722,502,800,501,503,282,502,501,358,800,503,301,502,500,504,426,503,502,800,501,501,917,500,503,502,649,500,282,503,282,800,229,800,501,501,500,500,649,404,800,501,500,503,196,302,503,500,502,503,800,800,649,501,704,503,800,649,649,500,502,649,503,501,649,135,817,35,500,282,517,1000,503,503,501,649,501,282,500,16,502,504,502,984,500,501,500,800,649,800,649,501,500,800,501,500,649,800,188,800,503,500,649,500,503,800,649,42,282,503,501,502,800,800,503,580,503,649,501,800,800,500,649,649,744,649,624,502,502,502,501,649,800,282,503,500,649,502,800,500,500,649,501,503,282,503,502,503,282,800,501,500,503,800,503,504,649,989,649,282,501,502,800,800,502,649,504,597,800,649,726,502,282,500,282,649,16,500,502,502,800,500,501,504,501,500,282,500,282,800,649,282,649,503,649,500,900,501,500,501,800,502,501,502,16,502,98,16,649,503,501,500,800,282,649,282,649,800,282,501,502,501,649,500,16,502,282,16,502,501,502,500,88,800,501,500,800,649,282,500,326,649,649,502,502,502,334,500,800,649,503,282,502,282,16,503,649,500,107,501,500,503,501,503,70,555,503,500,501,800,649,994,500,502,503,649,800,319,500,282,503,500,800,649,649,282,501,282,282,947,504,281,500,242,800,503,500,313,503,16,501,626,502,323,501,503,382,107,501,282,500,502,503,282,501,649,649,501,719,282,800,649,501,840,500,188,67,649,16,800,503,502,502,502,800,649,501,800,500,649,800,649,800,800,649,800,649,334,800,503,501,787,649,502,504,503,649,500,500,501,649,503,649,727,90,504,282,507,503,503,16,500,800,503,502,649,819,501,774,500,153,504,649,503,501,503,501,502,500,503,282,16,500,500,500,500,649,649,282,649,500,800,500,800,500,502,649,503,649,282,958,282,502,800,282,800,800,502,282,501,649,649,504,501,504,16,880,501,649,501,501,635,16,649,800,622,502,125,502,649,800,503,557,585,16,379,575,501,441,500,501,502,503,16,501,800,504,503,503,160,502,500,307,500,501,500,847,500,503,502,502,500,251,502,501,282,502,501,649,800,649,18,649,649,800,502,649,649,16,500,800,501,107,500,502,649,502,503,800,501,502,800,502,459,501,502,501,501,800,800,649,501,503,944,502,800,500,503,503,747,502,502,502,248,800,501,16,282,502,800,502,282,649,800,502,501,649,282,649,649,800,649,503,501,500,501,503,649,182,649,649,282,503,649,503,800,502,500,534,500,502,500,282,800,282,649,503,800,504,282,282,96,500,502,485,502,501,502,800,502,500,500,500,649,282,282,649,876,502,649,501,649,500,502,503,503,426,800,501,649,89,16,282,503,470,800,502,836,105,500,16,16,502,282,282,854,800,501,503,502,779,501,502,649,834,800,649,800,16,649,649,800,518,649,459,282,649,649,649,807,649,501,503,649,818,500,800,649,503,500,500,502,649,500,649,501,502,503,786,502,503,502,502,502,501,649,500,800,649,500,448,503,800,495,649,501,501,500,266,501,800,649,500,502,501,502,282,500,282,370,500,500,649,503,617,282,800,649,502,502,502,502,501,502,500,107,500,503,649,765,749,800,282,500,782,501,800,500,503,282,503,649,501,501,500,649,282,501,800,800,800,500,500,800,282,500,501,649,500,649,54,501,502,501,107,282,282,500,856,500,599,502,649,501,442,503,502,500,948,551,500,503,47,282,501,649,503,501,502,472,103,500,502,501,103,501,500,503,282,501,502,501,800,500,649,282,500,396,501,500,282,800,209,501,501,501,649,16,800,500,495,502,82,503,500,502,501,398,503,501,800,800,501,501,649,500,649,255,500,420,800,501,649,500,413,500,503,282,649,500,155,649,800,800,418,282,501,649,503,502,501,500,800,800,16,282,502,503,649,501,500,503,649,500,502,503,502,500,501,502,502,503,500,61,649,503,920,502,523,745,501,501,728,501,503,503,503,971,503,857,800,649,938,502,501,503,500,503,500,502,502,957,503,339,16,501,800,282,16,502,500,500,500,800,502,282,503,502,800,500,501,800,800,665,282,501,800,503,503,501,503,800,800,649,733,500,500,282,643,500,504,739,59,649,282,649,870,180,649,502,500,500,501,502,649,282,503,649,282,649,502,800,457,800,502,502,503,500,500,502,502,16,800,501,649,940,503,503,500,649,649,501,649,282,649,649,422,800,502,16,649,504,503,501,649,649,107,16,502,502,503,649,282,16,282,800,503,501,502,785,501,500,800,649,501,800,502,503,649,282,501,502,282,501,503,361,502,649,500,649,649,501,649,889,502,502,500,502,610,781,500,170,501,915,800,753,501,649,16,800,282,841,500,503,500,503,649,500,503,800,649,503,500,503,503,501,500,502,649,649,501,501,503,386,501,282,649,502,800,947,800,538,649,503,500,800,800,503,785,503,800,501,282,500,501,503,518,16,649,500,500,800,502,282,503,503,649,549,636,649,649,503,282,503,503,503,501,500,501,500,502,501,500,502,500,502,556,16,502,800,502,800,282,649,500,502,500,383,422,800,321,675,502,649,711,672,980,268,500,16,800,502,282,500,502,649,282,103,503,649,800,501,649,501,649,16,501,503,503,282,502,501,412,649,800,500,649,800,501,503,502,503,501,649,501,502,649,139,800,502,503,282,800,501,503,188,649,502,501,501,800,649,800,16,649,503,503,503,649,501,502,501,500,800,502,657,510,649,502,649,282,503,800,500,282,502,649,961,500,1000,501,800,969,649,649,500,649,800,502,649,501,500,500,800,502,500,800,502,500,282,800,501,501,502,503,800,501,501,649,501,502,107,934,502,500,649,600,800,615,503,500,502,503,503,800,282,500,112,649,501,567,800,500,502,282,503,649,501,501,501,504,501,457,501,500,793,503,501,501,500,800,800,501,501,508,502,138,649,943,503,649,282,501,282,501,503,107,649,357,800,649,502,649,69,416,503,502,501,436,503,800,502,6,158,502,500,502,500,501,501,282,502,500,501,218,654,282,502,500,502,16,500,64,649,649,500,800,649,800,800,501,649,649,501,502,500,898,502,800,282,326,590,502,502,905,502,500,503,502,987,502,500,649,107,112,282,502,502,500,800,649,501,503,501,500,503,500,649,503,500,16,183,282,502,503,649,500,500,500,800,373,491,800,503,517,282,504,500,800,394,500,929,265,16,800,754,800,800,800,16,107,215,800,503,503,806,649,500,253,800,649,396,16,502,294,502,503,501,15,800,282,503,455,503,504,500,500,501,282,649,501,500,500,502,649,478,649,649,800,800,503,800,800,503,503,502,502,769,282,500,800,500,649,282,502,16,800,500,16,500,16,649,649,649,503,649,800,500,800,501,282,500,503,282,800,502,503,282,800,879,633,503,93,500,500,649,502,501,258,501,702,282,503,649,361,800,503,800,649,503,501,800,649,500,502,501,282,503,502,800,691,501,503,500,649,644,800,661,649,282,501,503,800,800,649,800,501,502,282,282,500,503,862,118,235,502,800,500,107,502,103,500,501,501,503,501,104,16,500,503,501,800,502,107,503,503,19,502,649,501,800,500,503,800,952,644,502,500,649,800,502,649,269,86,16,394,282,502,501,503,282,504,500,501,502,503,501,800,282,282,503,649,800,119,502,500,500,500,501,500,53,500,476,502,503,649,16,502,649,800,501,800,500,124,503,501,503,800,649,317,16,649,282,502,502,892,900,107,978,800,649,494,282,348,501,817,649,504,16,503,501,503,501,800,812,904,94,800,501,500,282,501,800,649,502,282,800,282,501,649,500,800,800,800,704,503,503,282,649,502,504,103,649,501,503,501,501,853,500,800,502,282,800,85,501,500,565,501,501,649,143,501,500,800,282,16,501,501,800,344,649,800,604,16,107,282,501,500,501,950,500,107,502,800,649,800,585,649,500,502,502,649,983,649,800,500,649,525,649,217,649,503,501,503,282,649,282,151,500,800,502,502,502,501,282,649,502,649,943,503,503,503,800,501,500,800,347,994,800,500,800,649,500,16,990,16,736,501,800,351,282,649,500,800,26,707,800,649,501,649,503,282,954,503,649,115,800,306,503,500,16,503,501,649,503,500,485,649,800,649,502,649,560,502,800,649,504,501,502,800,503,800,502,649,282,500,503,502,649,16,500,503,649,502,502,502,856,502,501,502,800,503,503,500,369,500,800,282,500,503,503,500,800,500,500,503,634,500,800,502,800,502,103,649,500,363,503,800,800,282,800,501,500,442,501,501,500,65,800,800,379,501,503,500,282,515,502,282,503,12,501,649,502,501,800,501,500,500,503,503,16,103,503,800,503,500,392,503,500,501,500,649,503,502,52,500,500,500,502,500,502,502,502,649,152,649,649,931,502,503,16,501,503,282,649,503,649,500,649,503,501,649,16,649,282,502,502,800,387,649,503,800,500,500,649,462,502,905,800,800,503,503,500,503,265,500,800,503,501,800,503,55,181,501,504,649,800,999,282,100,800,500,500,282,282,502,503,503,282,482,893,800,649,504,501,282,502,800,502,649,800,800,800,500,501,500,500,800,649,501,528,501,501,503,282,500,503,649,800,649,107,501,452,501,800,774,502,282,705,502,282,800,501,504,800,500,501,800,501,800,502,282,503,502,503,500,368,504,503,503,502,649,282,888,502,16,502,503,500,828,502,502,16,119,800,649,785,501,503,119,421,954,800,501,800,800,500,282,282,500,282,503,800,800,502,800,503,649,502,503,503,800,503,649,503,705,649,500,649,800,501,501,16,800,503,649,503,649,649,282,500,501,500,503,500,503,800,502,501,282,800,800,775,503,800,649,804,500,107,649,500,502,800,500,503,224,649,649,503,502,500,649,800,649,16,503,503,800,649,500,503,16,501,151,503,800,502,500,738,500,503,501,16,500,649,832,292,503,503,500,501,800,649,800,502,502,331,502,919,800,501,503,500,800,649,502,649,800,649,698,503,420,503,500,282,501,503,649,16,503,502,500,503,503,282,503,500,501,501,649,800,282,502,585,282,501,800,649,500,649,500,322,500,649,503,500,502,800,800,504,502,800,503,394,503,500,800,503,282,503,800,649,531,649,503,16,800,800,501,501,649,788,501,469,503,502,800,649,800,501,503,502,800,503,967,500,800,500,503,500,214,282,502,502,649,502,282,501,501,649,626,502,502,315,504,500,800,504,500,124,500,149,282,661,234,500,282,103,501,649,800,649,501,800,649,800,500,800,649,282,503,249,526,501,800,500,282,500,500,500,800,501,502,503,502,659,420,6,501,800,502,800,501,500,502,800,501,502,502,649,800,500,503,282,502,560,500,282,649,502,282,502,501,909,15,649,162,500,933,500,649,500,649,943,282,649,800,502,500,649,500,503,800,800,296,502,502,503,800,649,503,502,501,503,751,502,189,503,800,990,502,503,649,649,502,503,800,501,503,776,504,16,501,640,504,461,503,503,503,282,504,502,800,503,997,502,503,646,503,503,282,500,156,630,489,501,502,649,503,282,500,282,502,501,544,503,500,501,800,502,503,500,218,502,501,500,594,500,739,620,649,16,649,501,16,500,649,800,500,501,503,649,944,107,814,502,501,107,800,503,502,282,16,500,504,500,282,800,800,501,500,500,649,649,282,502,501,503,503,501,503,500,500,502,800,649,649,500,800,502,500,649,282,503,503,800,501,501,649,500,800,16,500,503,282,282,282,282,96,792,503,500,910,503,649,956,495,500,500,461,282,500,16,800,501,282,503,649,500,500,503,500,500,502,680,503,942,502,504,502,800,500,503,503,649,500,762,500,500,649,503,800,500,501,16,503,649,500,649,500,502,501,609,188,504,503,824,649,501,455,282,503,800,800,501,501,282,500,501,502,489,502,800,649,503,503,800,800,503,500,62,152,800,800,502,501,502,504,649,502,776,500,501,800,503,220,500,800,649,282,649,501,501,501,504,943,800,500,500,800,649,800,503,501,500,503,449,504,503,636,947,501,649,282,504,503,282,649,502,503,502,946,501,501,424,501,308,502,282,500,501,123,503,502,800,800,503,503,800,649,649,501,503,906,503,501,800,573,800,501,500,500,16,502,282,500,501,503,282,375,649,500,282,282,282,500,503,800,500,800,500,886,649,568,282,501,500,502,500,282,649,649,503,649,502,16,500,501,16,501,501,800,800,500,649,502,502,800,16,64,503,500,500,500,501,800,932,502,501,502,501,500,501,649,501,502,96,501,502,501,800,800,649,431,502,800,800,501,119,649,800,502,500,149,503,705,503,502,800,687,16,800,503,500,282,730,697,649,649,443,800,500,16,649,800,649,500,502,501,16,800,503,500,101,503,502,282,502,649,141,564,800,503,500,500,502,503,503,800,649,107,800,321,501,500,503,501,649,807,895,502,503,500,501,282,502,282,649,685,16,705,649,500,649,501,503,649,347,503,503,800,451,800,503,503,503,800,500,649,16,282,282,649,800,503,751,649,502,500,800,800,502,502,502,16,503,649,503,282,500,503,500,503,800,959,649,800,649,503,851,500,503,800,694,649,649,800,649,800,502,800,282,800,800,503,800,180,501,502,800,503,649,649,800,649,501,502,737,16,800,649,329,800,649,27,502,649,800,500,649,224,502,500,503,649,502,649,503,501,800,282,649,649,502,800,500,501,649,501,500,282,365,649,282,503,501,800,778,800,501,800,800,502,502,16,500,500,649,227,109,103,502,501,649,649,282,800,501,501,501,502,503,503,501,649,333,501,500,503,649,649,503,649,503,501,800,649,502,800,18,500,501,502,800,500,501,503,502,500,16,800,501,649,500,800,649,782,800,649,501,501,800,501,649,503,77,576,649,502,800,504,282,649,500,649,503,229,503,800,501,16,500,502,502,649,649,500,16,800,800,500,503,503,649,649,502,649,501,649,503,503,502,503,502,462,800,16,503,800,16,502,500,502,649,503,282,501,501,649,502,802,649,501,503,503,800,503,501,514,503,500,649,501,800,800,649,649,500,16,800,800,500,500,501,492,282,503,107,502,406,501,502,649,649,759,282,501,649,649,649,800,282,198,282,800,500,16,502,502,502,800,500,503,649,16,793,649,909,502,649,500,282,503,649,503,502,503,501,800,500,501,501,594,503,501,103,503,282,918,503,16,282,649,503,503,502,649,501,212,503,502,503,649,503,503,502,503,500,649,501,454,562,514,764,500,629,502,503,503,800,501,16,282,37,501,800,502,649,107,502,800,501,503,282,502,501,722,800,501,160,504,282,800,800,500,800,800,503,800,649,649,800,500,800,16,500,501,502,503,500,396,503,503,524,504,501,745,800,501,503,649,503,503,282,649,502,500,503,282,649,502,503,649,502,800,501,500,500,607,503,282,501,400,503,649,256,800,503,503,501,502,282,800,503,503,500,649,502,282,502,800,501,800,501,379,501,282,502,823,8,500,502,502,500,502,502,500,501,501,595,800,504,500,503,282,282,838,503,501,500,502,500,649,800,649,109,503,500,107,500,500,282,502,137,649,800,574,501,12,800,35,649,966,502,54,800,931,918,501,503,500,800,649,800,649,800,800,501,282,501,282,649,500,44,649,503,501,500,107,503,649,503,800,649,503,504,649,502,649,501,800,503,649,501,649,503,800,503,445,649,502,103,16,649,282,502,502,800,500,501,649,501,501,649,502,503,282,502,502,500,649,501,501,107,501,501,800,500,649,800,502,282,16,849,501,282,501,503,500,649,44,945,500,500,502,649,282,649,649,322,800,500,502,705,500,504,502,309,16,736,502,500,503,957,40,649,501,649,500,503,649,500,649,501,500,501,649,501,501,649,502,501,649,649,501,503,365,433,509,881,503,501,503,72,500,282,501,501,649,282,502,800,649,16,800,502,501,502,502,739,502,502,500,557,501,500,501,649,81,282,502,501,500,800,500,800,800,500,502,502,282,282,503,134,800,503,16,500,501,800,282,502,649,800,800,503,502,649,502,16,500,502,502,800,649,649,305,502,143,500,503,649,502,649,501,500,502,282,482,649,502,502,503,503,501,500,501,503,649,503,500,512,502,500,502,16,800,502,800,103,781,901,503,649,502,800,800,500,503,500,282,501,500,503,649,503,503,503,503,500,501,649,502,503,502,649,800,649,500,502,503,800,503,649,800,16,432,16,107,800,500,500,503,282,282,649,502,504,16,500,26,385,800,503,500,501,282,235,503,800,501,800,503,500,107,500,800,16,800,649,282,649,800,800,484,800,282,503,500,363,822,107,800,282,32,282,16,503,672,366,800,500,16,282,500,800,503,649,282,800,501,282,503,323,503,282,502,269,501,500,800,500,16,503,282,501,503,504,503,501,496,503,500,502,649,500,502,282,800,282,649,649,649,643,502,738,649,107,500,503,282,500,282,501,502,501,800,649,503,500,91,501,502,502,896,503,502,854,502,500,502,800,500,502,501,500,649,800,282,502,649,504,501,500,504,649,501,500,501,502,532,502,502,500,800,170,503,500,207,500,501,282,649,503,800,649,649,516,501,800,281,800,800,500,369,500,501,800,800,649,649,800,500,649,502,107,502,501,503,649,649,502,807,927,800,503,649,668,502,501,960,282,502,16,649,551,501,501,502,501,503,649,649,503,800,800,649,282,500,503,824,501,800,943,649,502,16,545,503,500,649,500,401,800,676,501,501,503,504,238,500,503,282,500,16,500,502,282,746,800,501,503,502,649,649,800,649,800,503,306,649,500,800,501,500,502,649,800,503,500,800,502,800,503,500,800,800,649,501,502,669,800,500,800,649,148,649,503,649,502,800,800,649,502,800,502,800,503,503,502,502,649,502,502,649,231,502,282,501,500,500,649,499,501,500,466,649,500,649,502,500,800,501,501,500,649,282,502,500,502,577,107,800,503,800,282,649,502,501,800,585,501,282,362,800,282,800,649,800,649,649,503,92,16,788,501,503,503,649,505,503,51,501,649,282,9,874,501,16,503,649,500,807,502,500,500,800,649,500,649,649,502,478,649,649,500,501,138,649,502,751,800,502,800,500,800,70,800,503,501,649,649,16,503,649,503,282,500,503,502,649,503,500,502,502,787,503,503,504,503,501,668,501,380,500,800,649,501,503,503,362,800,500,649,649,800,501,463,503,500,503,501,649,282,502,800,500,800,502,759,503,502,282,503,800,59,503,501,502,503,503,502,649,649,500,649,503,501,500,16,501,842,501,649,138,800,501,800,502,503,500,282,502,500,649,503,504,649,503,282,800,800,400,821,800,800,502,501,282,800,502,501,501,282,800,530,800,503,502,501,503,501,399,535,282,502,502,503,800,800,501,649,501,800,800,800,800,502,649,800,504,503,16,504,501,649,800,800,649,501,989,649,501,502,282,16,649,501,500,502,132,503,649,503,800,976,502,800,800,503,649,800,810,502,270,649,502,649,649,800,16,500,503,503,502,502,503,501,502,286,502,500,501,800,339,800,282,532,501,949,503,800,501,800,501,800,800,501,501,649,649,500,800,503,500,502,503,649,502,573,502,649,61,800,16,486,503,649,500,503,351,282,503,502,800,504,503,282,649,503,501,501,649,16,501,800,502,502,282,274,503,502,503,647,500,16,502,800,503,500,39,502,500,500,502,182,649,649,282,502,503,500,282,282,500,800,649,649,503,502,502,501,649,503,800,504,534,503,501,649,504,501,504,649,800,800,502,503,67,501,503,500,504,501,500,502,354,632,192,502,649,861,501,501,501,649,500,503,500,503,800,501,501,501,503,501,800,502,503,282,502,501,282,503,800,501,500,503,649,16,502,800,502,282,162,502,103,282,500,503,649,800,16,504,103,502,800,501,500,16,800,500,503,282,502,649,148,928,800,910,500,282,282,501,502,16,502,649,282,500,500,649,502,649,405,504,800,502,282,503,503,800,800,501,192,649,351,914,814,503,649,649,974,800,504,16,504,500,501,501,502,501,624,649,649,502,500,500,649,282,501,705,501,103,800,762,282,979,504,649,649,649,16,503,282,649,504,502,107,501,501,501,800,800,500,504,800,504,649,500,704,649,649,501,649,649,500,649,226,595,501,501,500,16,800,103,503,502,166,254,503,649,503,503,800,501,500,500,500,800,503,502,282,500,800,16,931,502,170,504,502,503,502,502,501,500,500,500,500,502,501,800,103,501,503,502,503,501,503,800,16,500,957,501,501,344,554,945,573,650,500,649,501,500,649,649,800,500,723,986,500,649,649,807,501,649,503,800,800,502,969,502,16,705,503,503,501,806,989,503,504,502,500,503,282,500,800,502,950,649,282,864,282,503,282,502,504,501,503,16,282,502,503,39,580,282,649,503,502,800,649,500,503,649,500,649,502,800,500,501,500,503,649,503,800,501,503,603,649,503,503,503,503,500,502,503,501,500,500,550,503,332,649,502,800,500,501,369,503,649,800,800,502,800,500,851,502,503,501,800,800,392,577,503,500,649,503,649,649,800,500,103,16,501,501,800,503,503,503,500,800,649,500,503,800,503,502,500,282,502,503,501,949,282,500,731,282,282,791,501,500,16,727,502,500,501,649,417,649,800,705,649,502,869,504,649,369,649,503,800,500,501,501,500,503,500,800,501,800,503,500,107,800,500,649,501,629,502,282,800,502,503,500,500,502,500,503,800,500,292,809,649,649,649,16,282,800,892,501,649,649,800,649,933,501,503,502,800,649,128,16,502,649,502,282,500,649,800,502,800,503,252,502,800,158,800,502,502,503,501,502,649,501,827,800,265,501,649,107,504,500,800,500,503,282,503,501,649,503,503,502,500,282,103,500,500,649,501,800,649,649,503,504,500,800,103,503,500,503,503,502,500,500,503,518,649,503,705,649,800,649,800,500,503,105,649,502,501,501,649,500,501,503,503,501,731,649,501,282,282,500,502,175,501,502,500,500,649,500,161,649,161,16,800,500,501,500,800,500,503,800,282,649,800,368,649,503,502,524,800,501,16,649,503,502,678,649,500,502,800,565,502,502,649,800,649,500,756,503,282,502,649,504,649,282,503,395,800,501,800,503,503,649,16,503,503,503,282,800,468,500,649,502,515,503,649,800,500,500,502,649,800,503,501,800,800,457,500,649,503,800,501,501,328,500,282,503,500,282,501,501,501,502,501,503,500,500,781,500,500,500,502,501,503,500,800,649,282,501,500,504,503,501,649,502,493,500,649,502,613,918,800,130,500,800,800,800,48,282,649,503,150,282,242,282,16,501,502,503,503,501,501,731,516,649,800,500,502,705,503,649,502,282,501,501,649,502,501,502,800,501,282,282,949,501,501,501,504,649,649,800,242,503,503,504,282,502,649,503,500,502,44,649,649,907,649,501,282,800,681,763,526,88,503,500,800,649,649,501,800,800,649,282,504,501,502,502,481,502,502,649,524,800,649,282,649,501,501,501,504,649,649,501,559,800,500,500,503,500,503,502,515,501,800,503,502,649,649,800,649,282,596,502,282,501,800,282,503,503,800,504,16,502,649,649,502,501,502,500,500,800,503,70,501,504,649,800,800,503,502,503,649,503,649,586,501,649,502,282,503,501,16,500,502,501,800,502,800,502,649,800,500,800,501,500,800,503,649,800,502,649,668,219,501,800,800,649,504,971,501,649,282,501,504,282,504,501,649,800,503,501,500,282,441,16,282,500,503,500,501,500,503,800,223,501,503,16,503,107,502,649,503,502,16,502,503,800,800,502,979,502,500,501,501,282,800,649,800,107,503,500,500,501,800,649,800,311,503,503,649,649,502,502,367,503,800,501,800,800,502,503,502,504,427,800,503,500,649,16,501,649,503,502,800,501,282,500,649,800,29,282,503,500,800,800,500,800,503,502,649,502,649,282,502,649,649,501,807,501,800,501,835,500,502,503,502,800,649,649,502,800,501,16,500,501,287,503,502,503,97,503,800,800,800,500,503,503,622,500,500,502,500,800,503,282,710,500,649,16,500,501,502,741,16,503,913,500,503,16,963,502,649,348,649,800,800,503,197,500,502,500,502,503,502,501,649,800,282,649,500,800,503,501,500,649,500,503,502,621,501,502,983,800,502,503,649,649,503,503,240,500,649,501,107,578,502,500,501,501,100,649,504,377,2,282,649,800,800,967,503,800,500,500,639,502,57,800,501,501,238,500,500,503,649,500,800,501,502,800,501,800,502,500,649,282,16,503,878,501,502,501,502,282,500,649,503,107,502,282,282,501,133,649,502,16,183,501,283,800,503,501,363,503,800,902,800,503,500,502,503,282,649,501,16,978,504,800,800,16,503,800,800,500,502,282,503,649,501,649,448,502,800,503,800,503,502,800,500,503,504,800,502,662,502,502,503,500,800,500,800,501,649,57,649,504,975,282,672,502,501,649,649,107,502,503,107,503,500,718,649,502,739,503,800,500,440,107,500,807,800,500,501,800,500,16,800,649,282,282,649,649,503,649,678,501,500,500,800,503,500,502,503,501,500,501,501,192,800,500,503,282,800,360,503,649,16,502,500,16,800,800,503,501,649,503,282,649,82,338,500,501,501,649,501,501,649,500,282,503,501,502,282,500,502,500,800,800,502,649,501,506,504,649,503,107,501,918,103,800,649,501,261,501,502,800,800,282,325,500,502,240,441,800,502,472,649,500,800,722,649,649,16,107,503,501,502,500,502,557,846,501,35,501,500,800,282,503,271,502,501,503,662,616,503,501,649,504,501,282,500,500,649,501,503,282,200,649,503,501,800,501,800,500,649,800,501,502,500,649,503,103,282,501,501,500,500,693,196,501,16,649,282,16,502,649,800,911,800,500,502,502,501,501,464,111,501,502,500,16,649,282,282,500,500,500,800,502,649,500,16,502,282,500,502,500,501,795,502,501,502,501,800,502,502,500,345,503,192,502,649,282,501,502,800,503,282,16,178,378,800,649,649,501,500,503,800,16,649,501,503,502,649,107,503,936,500,154,503,501,16,504,877,800,503,800,957,649,502,649,503,649,503,503,107,442,502,520,501,501,500,502,800,800,800,503,369,309,501,501,16,504,649,500,501,502,649,800,503,554,652,800,500,503,802,649,503,800,649,16,502,16,282,800,16,502,502,649,503,500,503,16,800,282,503,800,502,500,649,16,501,282,16,501,501,282,800,800,502,649,502,501,89,649,500,107,502,800,501,501,16,503,501,282,500,158,501,282,649,170,282,501,501,503,800,649,504,502,501,501,501,800,500,800,503,376,16,282,649,800,500,503,534,501,311,649,567,282,521,685,800,580,500,445,501,103,800,502,246,282,672,995,800,502,16,649,500,500,501,501,800,503,16,502,800,282,503,142,503,649,501,876,502,800,464,648,501,103,500,504,467,503,502,504,502,800,503,501,282,649,503,649,282,500,502,502,500,500,500,503,282,999,649,800,500,502,282,500,800,459,502,800,503,503,282,800,800,500,649,502,502,332,503,649,61,100,800,502,501,502,501,502,501,128,504,285,502,649,503,203,502,500,501,500,501,503,503,500,153,501,649,503,800,502,733,501,500,5,500,503,16,800,844,649,503,800,282,532,363,502,800,501,649,649,500,501,800,503,282,502,503,302,705,500,500,502,800,800,500,503,342,649,16,501,474,800,504,800,282,847,282,649,563,649,502,501,502,501,502,649,981,649,501,649,665,209,502,16,503,649,586,501,800,501,503,261,649,282,282,503,800,282,501,500,649,501,282,649,649,504,649,649,160,501,800,649,16,503,500,502,16,502,649,16,500,282,501,504,502,16,502,501,282,501,502,671,282,431,800,500,103,193,500,143,800,500,649,501,800,501,282,502,502,800,501,800,503,503,503,282,504,601,501,502,500,501,503,500,502,502,800,282,503,504,800,500,298,500,282,503,800,501,800,502,212,501,501,503,502,4,501,800,649,501,503,500,501,503,107,44,16,800,500,501,502,501,948,500,503,502,500,500,501,500,503,501,500,649,800,16,800,503,282,502,123,500,800,501,500,501,733,501,800,500,503,501,502,500,800,649,751,16,503,503,649,282,503,282,457,501,78,500,282,503,502,800,501,800,800,501,649,649,502,582,502,504,501,554,649,500,500,423,282,649,500,503,502,504,791,649,649,996,649,282,107,502,282,800,500,103,800,504,501,503,649,501,503,800,501,800,843,800,500,500,546,502,500,282,501,829,705,800,800,501,501,406,958,503,282,503,502,501,649,501,55,649,800,500,500,800,375,16,500,649,16,501,16,501,16,500,800,502,503,502,500,282,501,501,649,649,649,500,502,649,16,649,649,649,503,501,500,282,502,502,649,502,500,16,502,502,800,16,502,502,503,107,649,503,800,649,458,826,121,501,114,503,502,649,501,800,800,800,501,500,501,664,501,301,499,649,500,501,500,503,503,501,257,501,800,500,800,500,503,800,649,282,800,800,800,502,501,649,502,883,649,500,503,500,649,501,503,800,263,282,303,380,502,500,501,800,308,693,503,649,503,500,16,501,800,800,352,501,501,500,500,502,500,107,272,502,649,649,800,503,502,282,501,649,205,16,500,503,500,500,502,500,500,800,502,503,647,500,501,649,285,501,501,16,502,501,649,503,674,127,501,16,501,500,500,107,503,503,800,649,889,500,502,800,500,503,649,502,649,502,649,16,503,500,501,503,503,107,800,800,503,501,381,532,649,649,282,503,379,500,978,933,121,502,500,649,502,649,649,501,502,500,649,502,800,800,503,800,97,800,502,649,502,501,800,503,502,502,800,501,800,504,282,649,502,800,501,501,800,503,800,94,501,294,500,502,800,649,146,500,702,503,800,649,502,786,282,729,16,503,649,649,649,649,16,800,539,503,635,501,282,500,649,503,500,705,103,503,649,851,503,107,649,502,16,502,705,502,800,649,501,40,800,500,892,501,502,947,504,649,800,16,501,503,800,502,502,503,504,500,502,194,282,502,501,800,503,501,500,107,503,16,501,282,500,502,500,282,500,500,231,502,503,500,107,282,500,282,800,420,513,282,503,503,350,282,500,649,500,103,655,501,503,307,800,544,649,649,502,649,503,503,503,160,649,500,800,501,502,16,503,501,501,502,500,502,16,16,649,649,501,649,649,299,502,612,282,500,501,867,282,649,501,501,501,649,333,502,800,503,501,649,800,501,501,649,800,504,502,649,649,502,649,502,649,590,649,503,500,282,503,503,649,800,503,500,800,503,16,833,800,308,504,501,649,502,334,500,649,649,103,502,649,501,500,501,816,903,633,684,501,503,502,500,16,282,649,500,503,500,502,503,107,503,501,500,649,500,501,503,500,103,649,503,502,800,503,503,502,503,501,503,649,502,500,503,501,502,800,501,502,503,502,503,800,500,503,477,500,501,501,649,504,503,500,649,500,758,649,502,500,800,503,800,262,16,649,54,800,503,501,503,16,356,501,800,282,220,954,690,501,282,649,649,800,649,503,500,502,282,649,800,502,501,103,800,503,503,502,915,502,501,500,501,800,502,502,503,800,800,503,649,502,800,502,649,500,649,649,502,501,282,85,800,503,103,501,649,502,16,503,502,503,503,501,649,807,282,319,207,503,282,503,503,502,503,500,800,502,282,501,502,649,800,501,501,502,503,503,503,503,503,87,503,649,500,800,800,501,649,854,500,282,649,649,649,501,502,282,649,800,500,503,503,501,705,503,70,649,503,16,503,282,282,649,282,649,503,500,502,649,816,502,501,503,649,649,282,544,649,242,649,504,800,800,502,500,649,502,503,649,800,649,500,503,503,625,502,500,500,362,282,501,500,502,800,649,800,502,800,743,503,526,502,282,658,282,501,842,16,800,502,627,691,501,503,800,500,800,500,503,649,501,649,649,501,502,649,649,500,800,649,502,649,502,800,800,705,503,500,502,500,470,800,282,502,500,502,649,282,16,298,500,500,500,649,503,649,503,649,11,503,282,649,649,800,503,502,502,649,502,800,487,909,501,40,502,800,501,501,501,649,503,649,500,800,800,503,501,503,500,800,649,921,532,503,649,504,215,502,887,502,800,501,800,16,800,503,800,501,501,500,800,267,800,501,500,502,501,800,503,501,501,800,776,282,504,649,503,800,103,649,502,501,502,800,649,16,502,502,504,500,282,649,502,16,500,16,649,800,503,800,503,500,800,501,500,649,833,800,485,412,502,800,500,649,502,282,649,284,503,501,358,617,502,502,107,649,282,504,501,502,649,501,282,501,649,500,500,500,282,503,649,503,501,800,501,502,800,800,503,16,800,503,649,786,500,649,501,649,649,501,800,500,502,800,800,500,502,500,501,500,503,501,501,649,502,800,562,282,502,500,503,649,304,502,500,875,649,500,501,500,502,502,649,16,501,502,649,800,500,501,500,121,501,800,502,503,800,800,282,800,800,503,282,502,16,500,312,16,501,501,502,282,727,501,16,928,502,8,649,502,503,649,500,800,502,800,649,649,800,880,503,675,800,282,503,501,800,347,481,175,500,800,503,655,502,502,649,282,501,503,502,807,649,800,796,636,800,502,282,282,503,501,501,502,504,500,503,501,649,649,500,503,503,502,503,730,178,504,662,814,649,503,800,501,500,501,83,196,282,282,800,501,166,282,800,503,502,502,502,501,502,501,500,502,800,546,800,16,502,649,500,501,500,649,502,503,318,649,503,649,800,469,501,800,800,107,308,282,501,282,249,808,16,227,800,501,503,800,503,500,800,494,503,501,500,504,807,225,282,16,500,282,501,649,503,503,500,500,504,649,500,16,106,500,500,705,502,800,800,502,800,592,282,210,500,502,649,500,503,500,503,503,649,16,800,282,282,500,503,649,112,503,503,800,16,649,501,282,282,503,501,501,501,282,500,800,800,391,649,501,649,501,500,495,500,502,282,500,503,172,800,502,800,800,649,800,503,503,649,500,76,107,503,502,107,503,500,649,649,649,282,503,500,489,420,502,282,500,503,501,503,501,282,16,649,649,503,800,649,501,500,503,502,503,800,501,766,503,502,649,500,502,502,649,677,649,800,500,234,107,502,282,502,800,282,16,503,282,503,502,500,16,107,16,392,33,282,452,503,500,16,649,501,503,649,502,649,649,501,502,800,617,442,986,509,501,503,500,501,800,282,800,502,501,500,649,107,681,886,800,282,500,501,282,502,16,377,503,501,800,503,502,282,16,503,503,649,502,649,800,500,500,649,501,440,500,282,503,501,501,501,501,503,800,502,16,800,649,503,503,282,502,649,503,503,800,500,800,831,800,502,649,800,800,123,800,800,286,500,502,800,422,500,9,500,504,49,501,649,898,103,501,800,502,503,649,502,181,800,502,800,500,800,502,282,503,503,649,282,649,500,649,649,170,649,649,502,503,504,42,199,501,503,501,800,501,282,800,519,800,649,800,800,503,503,800,649,649,800,800,503,649,502,649,503,503,649,504,800,500,810,500,800,649,503,16,800,800,502,496,649,504,615,649,500,501,502,502,504,502,501,649,649,800,731,502,503,298,503,282,500,581,502,501,501,500,500,807,800,649,95,863,503,282,282,16,647,16,800,649,502,297,800,500,800,649,503,503,649,800,500,107,282,502,500,502,649,649,435,500,503,649,503,276,649,800,649,824,500,461,282,501,503,503,501,501,502,502,649,800,800,501,377,800,501,282,502,501,800,500,502,503,501,800,800,504,500,504,800,586,500,503,649,800,503,539,502,800,587,800,501,501,41,800,500,541,107,502,649,282,824,282,16,502,501,503,501,800,502,502,282,502,503,500,502,800,282,800,504,282,412,649,618,503,156,800,800,649,800,800,282,159,500,800,800,282,501,504,500,800,502,504,282,981,503,500,122,502,501,772,914,649,649,503,500,503,503,16,282,338,649,282,501,639,501,502,501,55,502,502,800,282,282,282,500,800,103,800,336,502,800,500,183,502,649,503,503,502,500,800,502,503,503,800,502,502,649,758,649,649,723,501,502,500,502,16,903,800,502,649,800,500,502,649,503,503,282,500,649,219,501,500,282,800,282,649,649,501,282,501,649,942,16,501,500,504,502,282,804,160,949,649,502,502,500,649,649,502,503,769,503,6,502,503,16,282,503,500,503,800,501,500,501,649,282,649,503,500,501,500,800,503,503,502,501,800,500,503,502,504,503,649,503,649,649,501,692,649,282,369,503,502,500,502,500,501,16,500,800,649,800,649,501,503,500,800,500,501,500,501,649,503,501,649,649,696,503,502,503,800,501,649,503,503,649,502,282,504,649,504,500,503,500,649,802,16,500,501,503,18,203,800,800,800,501,501,503,383,800,500,504,502,649,117,253,855,16,502,800,502,800,500,502,101,500,502,800,500,502,630,503,500,800,649,501,502,502,502,16,800,800,501,502,501,800,503,649,282,503,649,282,502,501,282,503,501,800,503,210,649,498,501,501,282,500,501,800,501,16,800,800,282,800,807,649,978,282,800,503,500,800,502,800,501,501,501,649,800,649,800,430,503,502,502,504,502,503,800,649,501,607,502,800,503,428,198,995,800,503,649,500,503,263,504,165,502,282,121,501,503,503,930,503,649,503,500,502,649,501,502,503,501,504,649,425,503,501,306,500,16,500,800,500,21,282,501,501,500,500,501,800,501,282,501,217,107,16,504,649,501,649,234,809,502,502,800,503,500,634,500,503,500,282,16,649,727,800,800,649,282,501,649,502,504,800,503,500,502,649,800,649,800,81,503,502,503,500,444,800,16,478,800,800,502,649,504,649,501,501,501,282,649,103,139,502,502,671,500,500,501,932,501,800,649,649,80,711,649,501,800,502,503,501,649,397,800,502,502,800,501,503,502,800,500,800,16,649,502,500,800,501,649,500,500,800,500,649,649,501,649,503,800,503,501,800,502,503,282,295,16,800,503,500,649,503,502,649,800,500,282,502,501,800,502,282,500,649,502,402,501,384,501,649,500,502,503,454,503,16,193,501,282,503,800,800,500,103,504,501,182,503,501,649,503,504,501,649,649,800,998,269,502,649,800,503,501,649,502,500,800,800,790,800,800,502,502,16,16,501,500,800,649,502,504,719,503,502,178,509,503,502,649,500,800,649,503,502,649,503,94,800,503,502,800,16,501,500,504,503,649,649,16,975,800,502,501,501,649,800,282,502,649,800,500,107,649,649,502,706,502,501,504,502,502,500,800,502,500,503,649,649,800,501,502,501,937,503,503,303,800,502,501,501,800,282,16,205,501,503,500,392,800,501,503,502,503,502,282,649,282,331,500,503,500,501,503,502,502,501,282,501,16,503,649,649,502,500,503,622,649,282,282,800,117,502,282,500,800,501,871,649,500,632,800,503,503,504,502,501,16,502,503,503,649,800,503,501,500,649,649,743,282,503,649,500,500,502,501,503,16,500,282,503,800,503,62,502,501,502,503,501,500,649,282,282,282,649,899,501,503,180,649,500,502,501,390,502,649,800,649,282,800,800,502,282,503,82,502,282,503,922,503,872,103,282,282,501,502,79,504,800,98,502,246,103,800,800,503,800,500,503,800,500,502,500,501,107,282,501,500,649,284,504,800,584,501,649,503,282,501,502,501,800,800,500,800,800,503,649,503,503,500,503,503,800,500,16,502,649,649,501,503,800,800,800,500,501,503,871,500,501,464,649,501,649,503,500,502,16,500,503,503,994,649,282,800,500,501,501,503,649,649,502,800,800,502,502,649,224,501,500,649,502,500,502,800,800,649,649,503,800,501,502,649,503,501,649,724,282,502,500,652,282,16,649,503,503,282,800,800,500,502,800,502,800,282,800,800,501,502,503,16,242,503,501,800,800,599,504,501,501,501,748,654,500,503,649,501,649,800,502,500,502,103,649,103,800,503,500,500,912,649,502,503,500,500,649,501,800,282,502,503,501,502,351,500,800,705,504,502,501,502,503,649,500,252,410,746,501,966,800,501,282,503,503,800,501,501,16,174,800,800,649,247,500,504,500,800,500,282,320,649,603,731,503,501,502,502,649,664,503,501,500,502,649,502,500,649,282,501,503,500,702,500,503,282,891,282,16,649,649,800,502,16,16,649,501,649,502,500,502,502,503,282,363,500,503,800,346,649,658,504,500,800,501,534,649,800,16,649,249,502,282,502,649,738,649,649,502,500,800,649,500,800,503,500,649,502,501,800,501,504,16,649,186,800,503,503,500,997,320,502,649,800,500,649,966,649,649,800,501,501,502,649,699,501,502,97,649,16,502,800,500,501,502,501,503,649,500,649,503,678,293,502,503,500,282,787,501,800,501,500,649,502,103,649,282,500,500,544,800,502,230,501,502,649,800,500,800,649,800,502,504,282,500,503,504,649,649,501,800,500,800,282,649,501,501,502,329,649,503,502,503,500,800,649,107,503,503,800,503,501,501,350,282,800,503,511,282,649,501,502,502,890,500,500,649,800,800,212,649,240,503,556,503,500,501,282,800,504,162,502,282,282,503,417,800,103,501,800,282,501,501,502,500,282,649,503,502,800,501,649,502,449,503,503,800,501,649,649,102,173,502,807,503,503,800,501,800,800,503,649,501,502,649,649,501,649,800,501,501,16,501,800,500,502,500,502,500,501,16,649,800,502,960,501,502,800,835,107,500,501,501,800,800,800,795,800,500,539,501,283,503,649,502,649,800,649,503,800,500,500,12,503,103,649,282,500,502,502,800,502,538,649,503,503,501,500,502,649,29,501,501,503,649,500,317,501,800,813,502,473,500,16,800,500,16,500,501,649,503,501,503,689,16,800,503,501,649,500,800,800,282,800,502,677,500,502,282,649,501,503,500,800,649,800,665,502,282,502,503,649,104,649,649,503,502,501,649,649,501,649,102,501,500,800,500,503,501,583,470,872,503,501,501,704,49,649,800,502,501,649,500,503,649,503,800,502,501,649,501,649,145,502,501,16,649,503,500,504,500,502,800,431,649,800,16,967,444,72,958,338,282,649,502,502,800,501,800,503,502,503,508,503,649,501,800,501,16,500,503,501,800,16,627,800,501,502,503,800,501,282,500,371,510,503,500,501,503,717,771,501,501,2,800,502,502,500,800,282,502,370,501,500,649,800,502,500,504,500,502,503,282,800,502,984,649,500,500,800,282,503,501,501,501,503,649,502,503,282,501,649,500,16,500,800,501,500,649,501,385,503,545,501,501,705,501,500,800,649,500,16,500,503,616,502,987,649,502,890,800,282,502,649,503,649,800,649,501,501,282,16,282,649,21,649,460,503,649,502,800,649,501,800,501,649,503,502,500,107,377,501,388,503,171,800,282,502,800,800,649,16,503,649,502,502,501,934,501,503,500,500,800,649,500,500,500,649,282,500,800,445,501,500,503,502,649,501,501,503,649,282,501,649,800,16,500,501,503,772,502,649,502,16,503,500,244,649,649,649,501,826,500,502,685,282,649,649,502,501,500,16,500,502,502,500,99,501,503,800,800,589,800,501,502,282,282,504,500,804,800,175,503,282,649,503,800,500,800,501,342,649,503,409,649,501,649,800,503,698,649,305,461,500,282,503,501,243,103,800,501,502,649,282,500,800,503,500,946,649,501,502,501,800,282,305,501,500,501,800,800,502,649,500,503,800,500,800,501,500,502,503,16,501,502,503,500,13,501,960,16,730,282,503,501,903,800,649,800,649,649,74,501,649,501,649,500,503,502,282,649,649,649,502,16,800,500,282,503,107,282,502,649,16,500,501,502,800,502,500,501,649,501,16,501,500,834,649,500,503,502,578,107,800,500,800,502,839,501,800,657,503,16,649,315,197,500,501,503,503,503,501,107,800,852,502,282,16,502,282,800,502,503,349,503,670,501,503,501,500,502,500,502,502,502,503,649,800,504,705,501,649,501,501,501,500,503,501,800,649,500,800,1,800,800,501,503,503,800,502,500,503,800,502,107,502,502,502,500,178,503,503,649,649,502,649,16,282,503,402,500,282,502,500,172,282,876,460,649,503,282,502,500,501,649,500,649,496,573,500,501,595,501,649,282,800,268,501,16,502,649,501,800,649,503,500,502,502,502,500,504,705,503,502,501,503,273,503,800,282,502,501,501,16,503,800,16,282,800,282,800,879,500,649,501,282,649,649,502,649,501,503,649,426,37,502,800,500,649,501,649,502,502,598,500,282,500,649,629]; l=[183379,176066,577524,-1,-1,-1,858319,-1,868658,-1,837486,-1,120158,226083,-1,-1,-1,519556,538165,418081,-1,284694,-1,-1,-1,868922,-1,236107,-1,-1,-1,405956,9773,365158,-1,406451,-1,244019,-1,698630,-1,-1,40287,-1,149003,143118,631177,247350,-1,-1,-1,849304,680250,574117,914737,-1,-1,-1,-1,-1,-1,621562,-1,812672,280218,-1,-1,-1,-1,351742,675673,600093,113909,-1,-1,966095,635080,-1,600315,178381,401005,-1,-1,-1,53407,871355,909065,567086,-1,779760,-1,588401,498892,-1,305637,-1,-1,796538,-1,-1,197862,-1,330062,891307,122342,-1,-1,-1,-1,846528,35407,-1,744274,-1,112568,-1,-1,-1,-1,580557,-1,-1,-1,-1,83005,47574,662736,987814,-1,193909,-1,783187,-1,651246,-1,361862,845632,-1,-1,-1,221984,-1,-1,-1,-1,-1,-1,653142,-1,679054,-1,191120,-1,-1,186787,-1,512762,628824,650211,-1,584663,-1,519114,234579,-1,-1,-1,-1,-1,382216,681336,149103,523277,897698,-1,-1,-1,158262,-1,168679,-1,-1,-1,145006,121045,-1,675768,925486,912545,171946,-1,-1,-1,-1,76346,-1,906149,-1,198985,421658,-1,-1,321533,592836,817602,630833,313989,-1,-1,-1,-1,-1,-1,-1,204952,-1,127992,537714,-1,815480,49301,-1,385667,-1,-1,-1,617991,119515,545808,-1,-1,607359,-1,702601,162755,-1,698725,113816,403318,927568,369349,-1,4439,-1,430755,-1,370248,358396,466707,-1,-1,559470,944308,-1,-1,-1,-1,-1,-1,-1,-1,722395,-1,-1,-1,884146,-1,-1,193301,-1,259217,802904,-1,430765,313497,-1,842575,-1,-1,57304,921587,-1,-1,-1,-1,73064,-1,-1,-1,735635,989064,196671,-1,663789,576768,-1,611074,530635,-1,-1,-1,612266,-1,-1,955635,-1,-1,-1,720591,-1,-1,-1,398873,-1,457062,615932,-1,687844,-1,971584,-1,907503,608405,-1,-1,56929,424056,654838,797168,-1,588674,903782,237205,575417,970111,-1,-1,407486,-1,969927,-1,-1,-1,-1,-1,539011,-1,631936,403059,514968,349917,-1,781816,-1,891509,221131,78084,384520,111264,-1,137782,-1,159272,525540,-1,611272,385101,280627,567990,-1,294190,555814,109113,275678,-1,-1,792061,-1,-1,22095,-1,569560,-1,249665,-1,-1,65964,783641,617857,725301,204184,-1,-1,-1,511901,-1,-1,-1,337264,327397,-1,-1,-1,-1,-1,-1,169940,-1,110053,420563,-1,147332,318562,121733,-1,-1,569508,-1,-1,97110,-1,-1,-1,333726,32104,-1,-1,-1,406365,-1,-1,-1,160681,733330,-1,-1,-1,-1,-1,-1,-1,453487,-1,-1,378493,-1,881887,-1,-1,17170,-1,235417,344469,-1,861198,349996,967220,201800,-1,-1,758412,319725,-1,833154,640578,603314,-1,-1,891159,-1,819243,-1,-1,171927,-1,-1,527096,168633,539830,-1,737603,-1,550688,-1,-1,617885,859174,533472,362959,-1,981879,726499,245624,855629,378739,-1,837267,348525,631333,131019,-1,773945,275939,-1,478951,-1,-1,-1,-1,-1,742759,360289,112304,60965,-1,-1,640855,358566,-1,360684,-1,-1,-1,-1,-1,-1,618899,-1,-1,-1,-1,-1,881988,-1,231697,450836,748391,-1,890217,777586,-1,26886,723974,-1,157548,197108,251861,-1,271088,-1,-1,-1,-1,44881,980720,616498,879935,-1,354220,76917,-1,-1,-1,-1,-1,-1,312053,-1,211523,329782,-1,128842,-1,-1,-1,-1,-1,620834,-1,-1,11970,737091,-1,375181,-1,-1,388526,223174,343035,640289,436402,802030,237297,-1,-1,-1,-1,-1,-1,-1,-1,-1,709651,324490,343566,-1,459133,-1,-1,299767,149704,457951,-1,-1,-1,580274,225123,-1,-1,801662,408697,685697,-1,56833,65283,-1,-1,-1,-1,-1,672605,-1,-1,-1,44616,299243,-1,733224,-1,242179,-1,-1,-1,-1,-1,-1,562521,-1,-1,150908,-1,-1,951487,-1,-1,-1,-1,522994,947433,-1,-1,863576,335559,-1,361762,664368,202072,402973,-1,-1,-1,488710,-1,-1,-1,-1,-1,897668,306319,706386,-1,527674,855711,215357,398716,-1,950302,60488,-1,79516,-1,-1,858175,-1,-1,-1,-1,794685,576275,-1,39778,-1,390046,-1,777844,-1,943432,-1,418906,-1,865566,-1,127128,-1,-1,-1,-1,-1,-1,912612,-1,412625,721936,-1,-1,350219,-1,-1,-1,-1,-1,10829,-1,877849,-1,216036,-1,-1,-1,-1,-1,-1,335151,-1,346020,183387,-1,335518,225957,-1,-1,-1,834663,-1,-1,313106,-1,230527,-1,159575,-1,597677,-1,690586,-1,104857,252687,-1,765236,-1,-1,-1,449182,-1,586132,59883,557495,293173,552204,-1,640195,-1,-1,696951,-1,596159,598417,-1,87048,-1,190960,173716,7995,-1,774159,605769,983679,543002,410407,-1,663820,-1,-1,485655,52242,-1,884574,-1,498313,-1,-1,145359,-1,-1,265778,-1,-1,957990,-1,393712,-1,668841,-1,441730,-1,910877,-1,-1,-1,-1,518037,490369,249058,-1,-1,796663,761263,443669,-1,849192,-1,-1,365315,-1,-1,132191,856134,507589,972379,341376,-1,557185,266504,-1,265308,710921,-1,530487,293095,910718,-1,430457,-1,83626,521315,432584,-1,-1,-1,-1,-1,-1,-1,183569,-1,-1,-1,-1,-1,-1,-1,-1,331785,996107,-1,987895,395818,-1,567950,841256,-1,944156,-1,-1,688207,-1,876502,162785,726553,730036,920941,577976,82855,335338,299683,-1,-1,797262,-1,470408,-1,-1,-1,155778,523533,-1,-1,731683,-1,-1,-1,-1,-1,-1,888299,-1,586491,719800,603532,-1,308451,11229,-1,-1,-1,-1,-1,314992,-1,727733,-1,-1,-1,-1,-1,991697,-1,-1,615680,676365,-1,154503,977345,192981,684816,-1,567554,303893,61683,-1,554266,-1,277257,-1,358471,-1,603761,356559,92348,-1,540122,-1,143016,-1,940645,-1,-1,406550,357192,276642,-1,933007,752572,321820,-1,-1,409186,-1,-1,326315,961772,684759,170455,-1,142707,515664,-1,333589,-1,205832,368127,-1,925983,-1,361380,-1,607588,446025,156504,10388,453124,128732,-1,909584,-1,-1,-1,-1,-1,492388,-1,-1,-1,964312,-1,230560,915493,5832,-1,814357,62562,-1,-1,166125,529911,177665,876675,-1,218473,855598,-1,210947,-1,-1,-1,655259,-1,-1,258605,-1,185322,-1,-1,644105,385334,176862,-1,-1,568887,-1,-1,843826,-1,-1,862156,647920,-1,740230,700281,-1,-1,936347,-1,-1,-1,-1,530033,-1,-1,-1,624832,-1,-1,52001,459695,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,486657,985376,-1,-1,-1,876857,-1,165706,-1,-1,-1,341440,554085,337972,-1,-1,-1,-1,836950,-1,785040,153651,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,667995,241951,-1,72156,510350,887089,-1,-1,70437,799250,532141,694919,436508,-1,-1,-1,639909,-1,85266,114445,946463,902120,-1,252027,-1,511667,859066,-1,-1,-1,-1,-1,511348,980197,-1,269546,-1,146219,216259,-1,-1,147733,-1,378645,516030,-1,-1,682059,-1,761755,-1,426041,20578,-1,379409,474423,284036,-1,451868,-1,402905,579950,785333,274297,-1,815591,85365,816636,-1,984666,-1,-1,-1,-1,650304,-1,-1,500388,-1,-1,-1,-1,456877,-1,188505,153963,270821,692599,729993,227495,429789,-1,874723,512008,-1,-1,482295,-1,126076,-1,152309,-1,-1,406068,-1,-1,-1,-1,-1,136148,217432,-1,-1,-1,-1,842142,-1,297949,-1,38986,-1,-1,-1,89791,-1,465665,-1,-1,814646,133301,548271,-1,715857,-1,826489,-1,-1,92492,-1,-1,444304,417725,450987,127974,-1,495775,-1,-1,441806,146256,837616,-1,-1,-1,176023,358056,293661,-1,-1,-1,745368,155278,-1,-1,154673,722217,995110,-1,-1,-1,96800,-1,-1,440258,-1,-1,-1,637830,716430,-1,92481,368647,463453,-1,232326,257611,-1,92323,128306,604563,-1,621809,-1,249448,-1,282575,966079,-1,131623,993933,237458,86296,-1,162750,-1,-1,-1,-1,-1,-1,98076,955457,-1,865607,-1,-1,104511,840663,852625,-1,102806,-1,713859,790628,-1,243445,494473,323343,283561,631552,-1,967314,267042,-1,-1,-1,434935,461787,-1,487262,-1,-1,-1,418819,452872,571827,-1,995437,670264,197880,-1,198272,136982,-1,-1,-1,396357,-1,30946,71082,-1,223980,-1,593254,-1,180738,-1,-1,-1,-1,-1,-1,-1,15260,535064,444087,-1,-1,-1,-1,-1,-1,-1,-1,355483,714791,-1,-1,544450,742968,-1,-1,-1,620115,372572,467842,557251,-1,-1,-1,-1,-1,-1,-1,-1,896019,171998,-1,-1,-1,-1,743528,159740,447930,-1,268463,184911,169161,343809,-1,237803,-1,-1,90065,-1,415708,-1,696058,27513,-1,-1,-1,-1,-1,-1,316666,-1,-1,71058,-1,-1,-1,700411,-1,475144,-1,151025,735227,-1,-1,-1,-1,234336,220997,-1,445460,822581,-1,-1,322236,670301,251376,577020,621523,948595,529992,-1,644100,637029,662051,-1,-1,348351,-1,259858,-1,5141,-1,-1,675711,208624,-1,-1,-1,-1,319617,335822,-1,-1,15315,959616,-1,406834,-1,8802,-1,-1,-1,846884,301677,-1,216894,-1,451333,262678,151382,-1,-1,-1,-1,-1,20079,553561,-1,-1,623533,-1,-1,771459,82486,-1,391158,-1,109935,-1,198502,-1,820761,183906,-1,-1,-1,-1,-1,-1,831709,332748,877806,-1,-1,-1,-1,283063,-1,-1,321508,-1,-1,-1,255679,88609,611461,153294,-1,901209,-1,301420,581226,89343,-1,-1,227311,493084,928335,421221,-1,-1,7980,-1,-1,-1,364892,-1,115157,292735,436048,-1,-1,491408,493240,532582,40093,340739,834098,-1,-1,-1,73811,986967,-1,-1,570452,-1,-1,680759,-1,308235,480741,-1,17426,-1,-1,668945,-1,919464,58593,156760,-1,812535,-1,-1,676135,638268,166482,-1,369417,220970,549408,523956,-1,216471,-1,238817,638669,-1,201548,-1,-1,911550,758806,449572,-1,-1,809712,-1,-1,711698,-1,-1,-1,-1,-1,-1,729681,805807,-1,-1,-1,592668,981838,-1,-1,39613,-1,297990,-1,175395,335493,952834,-1,-1,390664,819154,-1,-1,-1,870581,-1,-1,-1,-1,520239,-1,-1,433453,593266,180138,-1,344863,-1,573883,355997,718483,857827,-1,-1,-1,179791,792532,-1,330143,965154,512380,-1,-1,881135,-1,-1,-1,209242,-1,982485,697957,-1,-1,358413,-1,-1,-1,172274,-1,-1,918682,-1,17585,-1,812036,239399,-1,-1,427416,611267,281969,686266,-1,-1,-1,-1,635977,-1,787450,778330,-1,790184,-1,-1,-1,111677,725135,-1,608942,-1,708479,-1,148238,356809,-1,204583,819832,-1,-1,-1,115480,-1,-1,336047,159444,926965,-1,-1,-1,-1,-1,-1,761348,-1,883748,-1,-1,-1,593592,-1,79733,-1,863187,-1,672704,-1,-1,-1,-1,676769,-1,-1,-1,-1,-1,823756,210368,-1,-1,-1,497851,-1,66804,928114,-1,141531,-1,-1,636708,-1,909774,-1,498377,893823,-1,843388,493427,-1,670486,866090,774708,-1,-1,939657,711212,-1,938728,-1,671428,-1,-1,180975,-1,317430,-1,-1,-1,-1,954506,820670,295316,-1,-1,530131,-1,-1,961257,-1,-1,438591,104440,690229,955087,125143,416655,-1,-1,284013,446026,-1,-1,-1,108065,198491,746659,-1,503034,-1,-1,-1,-1,-1,-1,224677,772243,403194,-1,-1,-1,-1,89028,-1,-1,378037,506223,9471,-1,-1,-1,-1,391942,-1,-1,212177,-1,-1,531631,773364,-1,755488,485332,192730,227769,-1,56759,225908,236930,-1,-1,-1,368194,733218,925807,927459,-1,-1,-1,967334,-1,-1,-1,-1,430833,927827,-1,606325,-1,829307,-1,-1,134355,-1,-1,828077,905358,890187,-1,-1,-1,534877,-1,-1,606547,-1,405224,336152,19947,216720,466926,-1,934403,-1,-1,-1,141812,-1,-1,445111,897381,308631,995741,-1,972667,-1,78094,226645,-1,-1,-1,176960,-1,-1,-1,-1,-1,-1,-1,-1,489358,-1,946608,132135,-1,76111,-1,939737,-1,-1,467648,-1,309266,557343,655224,-1,41719,-1,73473,586826,-1,-1,869248,735711,268190,946344,755841,917387,-1,-1,-1,-1,949346,-1,-1,614254,-1,-1,522213,-1,-1,613486,-1,75417,-1,-1,634683,-1,185663,523824,-1,-1,53930,-1,-1,-1,-1,105563,-1,-1,-1,299857,162015,159652,-1,120940,923961,292176,550465,-1,52538,998358,-1,-1,943096,885934,924588,-1,759897,955772,-1,614827,-1,-1,-1,168812,-1,-1,-1,-1,577543,565544,789039,960682,-1,-1,-1,-1,-1,290850,-1,-1,522602,-1,-1,274491,-1,804301,-1,318581,-1,-1,191277,924397,-1,613331,666117,-1,-1,590455,774089,-1,-1,453796,-1,-1,432217,347464,543133,44533,-1,738011,-1,775841,-1,28964,-1,-1,-1,819241,612605,-1,-1,437689,247574,178823,-1,-1,275526,706026,419149,-1,401399,236817,284309,970470,37530,441983,762058,720315,797427,313078,750933,-1,-1,-1,475954,-1,-1,-1,-1,-1,221401,-1,239653,-1,225627,-1,694828,473359,-1,884184,-1,-1,-1,-1,253168,148124,578649,-1,-1,-1,-1,859508,-1,-1,-1,365556,-1,-1,475146,-1,-1,-1,931919,490372,191268,218763,364542,127696,421696,-1,267209,-1,-1,27342,788011,-1,-1,-1,-1,276364,-1,-1,329319,165529,415291,618615,-1,-1,-1,-1,-1,963223,-1,96698,98019,453031,163263,-1,520086,-1,-1,811030,-1,-1,-1,-1,-1,527076,-1,712564,-1,798624,805531,-1,6001,-1,452662,520171,810066,359054,-1,925086,852234,-1,618109,367518,-1,-1,-1,229899,-1,876544,275884,726317,570053,785672,-1,589630,850611,648138,119581,-1,356812,797362,-1,261373,-1,-1,-1,127226,-1,68887,-1,-1,-1,133346,342373,304815,-1,61259,641818,459659,-1,284843,985711,136544,484071,487717,78999,-1,741592,614264,323630,806793,-1,-1,70500,-1,963781,155937,257912,262800,286194,299814,-1,966979,-1,-1,-1,-1,-1,670320,-1,938556,-1,-1,569258,735942,767487,-1,429890,-1,-1,-1,-1,-1,819994,405135,58321,-1,267295,-1,-1,41929,-1,99677,575603,695831,281423,461993,915111,-1,929521,-1,-1,-1,872786,-1,767987,-1,317658,-1,-1,-1,-1,-1,-1,-1,748448,-1,346293,574089,-1,-1,-1,743820,720489,213345,15613,93433,-1,537525,-1,641748,389722,906976,-1,477532,548531,-1,184023,-1,355204,28334,785281,402733,920276,93932,-1,-1,-1,-1,82991,-1,293888,271298,-1,-1,442319,379226,-1,-1,-1,-1,-1,47946,934649,-1,766419,70098,-1,-1,-1,698560,655589,546353,-1,481976,-1,-1,607338,884678,951419,932762,26160,774721,721875,-1,945023,-1,-1,78581,-1,-1,232381,546129,-1,654908,278667,-1,-1,31793,-1,-1,659095,-1,871437,-1,302207,546877,171022,-1,-1,-1,591025,-1,962677,-1,41227,125428,969068,138271,-1,-1,-1,-1,-1,-1,536606,136181,106847,-1,941161,713040,931263,-1,-1,670902,-1,-1,802413,-1,-1,123088,-1,208791,129350,856232,312117,-1,-1,570016,-1,826488,-1,259269,366076,677590,-1,-1,-1,-1,-1,677332,-1,641419,-1,-1,-1,746288,77114,-1,894116,669137,-1,-1,-1,-1,-1,-1,-1,-1,744030,480655,930702,395592,73487,-1,-1,-1,848872,-1,349604,-1,740668,136152,-1,-1,-1,220142,-1,330644,-1,-1,-1,225708,297398,-1,-1,-1,628796,847213,-1,862975,-1,292114,-1,557338,309645,590406,-1,511631,-1,-1,943661,29073,-1,458674,-1,520673,912792,49476,-1,306039,-1,-1,-1,-1,-1,-1,572591,-1,-1,922204,-1,-1,359386,-1,-1,-1,789475,-1,175138,606726,707450,742906,-1,372100,-1,223842,-1,-1,608110,-1,-1,816196,385870,771843,-1,293688,343100,923490,566258,-1,-1,-1,-1,-1,-1,733491,-1,-1,-1,-1,-1,40138,-1,914761,-1,303096,428241,-1,-1,818974,793328,-1,502286,162846,273416,814832,-1,541710,-1,707136,-1,-1,324658,-1,-1,861161,-1,956677,-1,502560,235811,-1,81837,-1,-1,-1,72147,642142,-1,-1,-1,-1,178196,-1,-1,-1,883332,-1,994161,-1,-1,960820,38404,-1,-1,582020,535055,294149,476311,-1,17376,-1,15803,665471,209978,534447,853580,-1,923449,810432,942261,907106,478239,-1,-1,-1,-1,852716,350424,292551,-1,39205,585497,-1,-1,-1,-1,-1,-1,-1,263310,-1,-1,-1,-1,-1,-1,-1,454658,-1,-1,123945,-1,-1,-1,-1,-1,-1,584266,-1,737978,-1,-1,-1,378515,-1,-1,855128,78689,-1,979758,707876,-1,715307,-1,512727,-1,890682,-1,617059,45608,700829,460666,-1,-1,-1,688572,-1,444510,763023,-1,-1,483663,471726,-1,-1,739556,368936,160292,111939,870505,139898,-1,453284,-1,270441,-1,-1,-1,962986,-1,-1,-1,833354,-1,526663,-1,-1,-1,652121,277623,808017,-1,641347,129087,-1,-1,677358,-1,431280,-1,-1,307174,526792,53714,162213,-1,359210,-1,-1,-1,-1,139694,-1,-1,382678,297820,-1,190516,-1,923360,576037,-1,858097,-1,583558,-1,330320,-1,778030,-1,-1,-1,731044,-1,-1,572953,643223,-1,884677,-1,-1,-1,-1,-1,-1,-1,912805,721081,-1,-1,-1,953209,489347,804689,-1,-1,919316,-1,-1,227669,-1,-1,-1,-1,-1,-1,34635,-1,-1,263383,-1,613374,977324,-1,-1,875759,-1,63585,690550,581054,720695,142789,-1,864264,-1,-1,893888,50378,-1,-1,-1,-1,240009,719737,794541,752180,321139,422521,-1,-1,-1,847625,440088,-1,-1,93090,488917,605629,573138,436133,491040,-1,-1,-1,906560,-1,-1,653728,391796,-1,-1,-1,405060,954524,549937,452145,-1,341275,536343,571647,-1,-1,893469,-1,580637,66593,609679,-1,412995,778580,-1,823927,565702,665606,330978,882036,858343,479013,-1,-1,-1,106024,-1,-1,723045,49657,985712,-1,-1,627662,752641,146565,-1,742773,-1,-1,-1,828322,-1,-1,-1,-1,347772,644372,475212,-1,-1,264940,251004,602631,255774,-1,-1,-1,-1,-1,-1,-1,-1,-1,886659,90510,-1,-1,390359,-1,-1,706240,-1,-1,695937,-1,262841,-1,334569,156026,-1,-1,150283,-1,-1,283675,750970,-1,-1,-1,-1,-1,600682,734133,-1,-1,-1,36529,-1,-1,-1,538313,-1,432624,535263,140168,-1,464966,-1,-1,876541,585786,-1,-1,-1,-1,891697,-1,-1,-1,55652,-1,-1,238415,915537,843565,-1,480086,167292,-1,-1,-1,233408,567571,515289,300185,-1,-1,660659,260330,177491,-1,-1,308000,-1,-1,-1,-1,69551,-1,879057,-1,-1,-1,210355,150040,471104,-1,-1,-1,-1,-1,-1,-1,-1,414749,108846,-1,-1,-1,297151,300928,337798,825717,-1,-1,-1,-1,991165,-1,959895,698320,716039,-1,-1,-1,802913,-1,860511,737254,-1,176906,447838,-1,924564,-1,791572,936024,-1,-1,-1,95439,-1,818937,-1,-1,779147,-1,-1,115919,-1,693951,-1,617354,725678,-1,-1,-1,933530,855914,-1,311676,830404,36720,366031,250943,-1,-1,976017,-1,580830,-1,701277,-1,-1,-1,108723,-1,-1,-1,395657,778672,-1,-1,-1,195545,352150,-1,-1,-1,-1,-1,414901,-1,-1,274971,-1,682074,-1,917498,632127,-1,737571,-1,-1,398701,-1,611816,-1,905369,755114,32994,298978,468037,260872,-1,751383,-1,-1,572176,-1,-1,-1,850219,200456,-1,-1,743476,-1,-1,420831,974783,67868,-1,172311,266160,-1,765209,-1,341606,130391,-1,705298,-1,-1,794499,275750,511168,-1,-1,636005,-1,164142,792526,50336,-1,-1,541430,208008,840085,170875,-1,782026,-1,296510,14059,-1,-1,617216,53964,625062,661229,-1,-1,557349,186847,-1,465726,-1,339676,858352,420911,400685,-1,575023,375961,-1,691188,-1,776193,-1,935812,-1,-1,-1,580147,807648,-1,213475,-1,-1,-1,-1,-1,-1,942683,-1,492384,823515,-1,369856,-1,527371,699219,293906,-1,-1,-1,374695,223644,-1,-1,-1,208995,395144,-1,-1,-1,650072,-1,220199,971278,801413,198735,-1,-1,766852,-1,-1,838348,871709,677633,-1,-1,206170,308504,312849,651218,-1,710621,-1,-1,-1,631128,375595,495475,414263,-1,-1,652450,513685,-1,-1,642467,-1,462730,635888,-1,668052,858888,734272,-1,-1,-1,-1,-1,208510,924827,-1,25298,-1,207244,202912,-1,-1,-1,249862,-1,199871,81970,643866,901549,-1,913749,-1,17719,213380,165873,-1,-1,396572,126911,339753,-1,-1,-1,-1,483513,-1,550664,642651,31458,225052,260491,788392,540202,399364,-1,-1,-1,-1,242966,-1,583037,679736,-1,-1,-1,-1,404409,-1,-1,767856,-1,-1,227227,-1,726822,-1,-1,197513,-1,681827,781020,919999,-1,793813,-1,-1,843165,593847,-1,844963,-1,-1,33643,474056,-1,25598,-1,-1,27071,359134,-1,-1,-1,-1,523286,-1,-1,-1,774896,648974,4723,583665,922581,343623,-1,762733,854903,916144,-1,551694,72302,-1,520858,-1,-1,-1,-1,86024,-1,-1,866331,346692,801578,246547,476430,-1,-1,850760,-1,281979,824543,-1,225608,5348,296048,-1,-1,768699,-1,995242,151596,-1,925359,309354,996517,975337,-1,-1,289332,-1,77696,-1,-1,279135,648430,541629,248327,-1,172642,841807,946098,33556,-1,313194,-1,317656,-1,-1,-1,-1,570338,-1,-1,-1,-1,-1,778063,894550,510840,-1,888698,551937,6728,-1,-1,-1,-1,406194,679683,824293,999030,213244,-1,880550,-1,-1,265678,-1,-1,-1,-1,435350,572720,50994,-1,-1,128122,-1,-1,303163,-1,848778,-1,-1,-1,461402,-1,193,-1,848409,-1,769230,-1,894012,-1,992310,-1,103752,-1,362834,424104,-1,516618,-1,455471,164100,-1,980895,-1,-1,-1,-1,130541,-1,345526,137134,-1,-1,37951,-1,815622,307942,-1,-1,188572,258977,-1,135604,-1,405992,429028,452505,-1,729,-1,-1,-1,-1,234751,990737,395536,-1,-1,-1,514779,-1,885627,-1,822494,-1,923756,165655,-1,223885,-1,670966,-1,420623,782858,653904,-1,-1,-1,713442,878208,-1,898468,-1,182090,-1,-1,416962,906973,-1,-1,379645,8248,-1,456309,230239,-1,-1,831101,52813,-1,733251,-1,264678,911696,-1,-1,206876,-1,803501,-1,360077,845693,679840,345147,750823,681683,707863,-1,-1,-1,-1,887596,-1,863791,501645,505507,-1,-1,410708,713445,-1,557162,827956,-1,184643,-1,-1,-1,237464,-1,-1,-1,-1,-1,456957,-1,-1,841535,-1,848869,882626,-1,922682,105962,931140,388171,626069,473252,146837,-1,-1,-1,797743,703023,-1,-1,893118,-1,616639,-1,925967,-1,-1,689331,-1,174591,-1,-1,930305,386017,-1,86705,-1,-1,620683,-1,464970,-1,-1,-1,565520,-1,55677,-1,-1,-1,-1,-1,-1,847155,789247,-1,-1,913389,-1,-1,608919,713348,-1,-1,144562,-1,-1,70016,873312,-1,-1,-1,985516,315645,-1,-1,-1,331626,-1,49863,-1,330422,-1,-1,-1,-1,-1,-1,110784,-1,-1,-1,578866,-1,346801,220491,-1,-1,-1,965614,-1,-1,808724,730274,161218,924096,255671,-1,-1,-1,-1,505134,-1,696723,494871,-1,863012,593989,713993,529616,260150,-1,943346,-1,-1,649280,-1,913586,969694,-1,116319,-1,516166,373095,109322,213746,-1,-1,128788,851194,172187,249978,-1,-1,362215,-1,456684,260118,165969,507204,-1,692315,182470,259079,462980,937498,611214,-1,289032,631496,979547,171216,-1,850110,-1,-1,791939,858392,511294,134992,701904,-1,615966,850389,703548,-1,497447,617547,-1,410642,-1,763015,-1,-1,-1,-1,-1,-1,-1,-1,878250,956674,298217,285323,-1,669525,523509,782665,36542,-1,819795,328121,215256,118777,497158,197692,-1,707587,-1,-1,438177,497080,940288,-1,652919,24794,913554,-1,300140,-1,177755,246114,287972,953599,-1,701215,242699,798087,-1,383642,987284,290858,-1,-1,-1,599527,919469,-1,-1,-1,-1,-1,946091,-1,282549,-1,-1,-1,96790,-1,260296,402413,-1,250498,681896,-1,763748,-1,-1,278805,803944,-1,221976,-1,295923,987587,-1,629100,-1,281927,561101,684620,862154,-1,-1,309767,384635,358179,981686,597215,313155,498965,-1,52561,78446,489892,277177,759168,-1,-1,-1,787706,565917,-1,425176,705376,681191,909256,140909,-1,277497,720396,-1,6730,-1,-1,-1,8632,481184,-1,-1,-1,585659,-1,-1,-1,88559,236505,-1,-1,961378,-1,769591,806697,-1,-1,-1,623219,-1,993628,237801,-1,-1,-1,175815,-1,-1,475817,330630,898893,-1,70605,-1,800884,-1,-1,-1,-1,-1,-1,-1,247005,-1,44618,-1,782599,425609,-1,321435,582325,507669,-1,-1,-1,480021,-1,-1,-1,863273,253225,36837,-1,694307,-1,667405,-1,-1,-1,-1,728325,-1,724599,-1,-1,-1,-1,-1,466568,-1,950712,367409,872478,519750,-1,771556,-1,403067,109997,404469,32531,503536,607162,974905,-1,-1,-1,865072,127190,317785,-1,518758,930254,814744,112756,-1,98043,411009,249972,718126,602145,-1,942954,-1,456333,-1,-1,-1,948073,-1,-1,431493,959778,-1,518419,-1,739822,-1,363797,399476,-1,-1,825509,717758,332735,26149,131219,52606,-1,-1,-1,-1,145577,-1,-1,175287,-1,-1,108191,-1,-1,670032,-1,230626,344496,368089,683975,210267,802759,-1,412474,-1,-1,-1,-1,-1,903498,-1,-1,600046,-1,-1,-1,-1,347655,-1,-1,602423,-1,763085,54318,851169,-1,-1,568424,-1,-1,-1,-1,401213,-1,-1,928528,586795,697412,300050,274975,-1,-1,-1,-1,-1,495831,854413,-1,-1,645419,572891,440119,-1,-1,-1,716409,395398,-1,-1,104010,-1,-1,-1,-1,-1,-1,14455,821873,-1,-1,628188,-1,-1,670334,686858,-1,-1,-1,-1,332829,-1,773377,-1,290047,-1,288025,969887,962789,-1,-1,-1,-1,343395,-1,508396,641824,-1,21746,404253,-1,315317,781664,69706,-1,29132,-1,-1,920428,83563,-1,-1,876153,-1,-1,732205,-1,901833,283237,-1,488228,-1,613956,400080,-1,307034,732617,-1,198661,-1,78541,263468,-1,-1,404989,-1,748187,528915,-1,-1,-1,-1,678136,-1,-1,-1,340165,-1,-1,861531,549661,-1,-1,101314,548730,-1,-1,-1,184882,770119,-1,-1,-1,503794,192840,259295,562144,-1,-1,888167,-1,-1,427760,347192,738624,207247,776180,655771,849392,230234,-1,-1,451063,-1,966267,299942,-1,159111,-1,822615,-1,-1,-1,-1,810298,457187,461498,253317,-1,-1,247547,-1,144068,-1,-1,500281,424972,-1,-1,279442,941689,816017,346915,114520,-1,-1,551506,347788,-1,874418,854042,-1,356865,846055,-1,366810,-1,-1,-1,-1,883852,-1,-1,-1,330623,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,320411,-1,844922,45177,128631,-1,-1,-1,695696,-1,677806,-1,-1,-1,-1,-1,750839,-1,200179,-1,689298,156749,735954,-1,116343,-1,-1,-1,-1,735535,139358,133823,337429,340138,5493,-1,-1,610984,-1,-1,-1,210017,-1,-1,-1,-1,735798,837489,517804,-1,-1,438448,811004,-1,616751,-1,-1,-1,112232,762226,-1,-1,-1,-1,765852,-1,96375,-1,-1,83211,721140,-1,-1,-1,426612,891601,480031,-1,-1,147107,911264,-1,4290,-1,514448,-1,542555,-1,663964,239128,43302,621096,702018,-1,-1,-1,-1,108793,-1,641837,212724,864035,787286,-1,-1,-1,-1,-1,-1,609960,-1,100228,390939,-1,802175,-1,31822,-1,-1,65729,-1,67338,-1,-1,688961,385789,19408,-1,381897,279669,-1,18718,5288,-1,-1,-1,881726,882552,-1,880062,-1,287959,-1,272067,376780,-1,441614,-1,-1,-1,-1,807786,-1,-1,136659,-1,887069,268285,-1,91121,-1,423764,-1,-1,-1,-1,-1,-1,484312,412758,-1,-1,256048,144051,299138,757813,-1,-1,188580,-1,-1,648189,133827,-1,57426,-1,890932,66286,693737,205903,-1,-1,519637,-1,-1,-1,555056,806489,972071,-1,48567,607006,760528,-1,-1,-1,364470,757949,50869,-1,-1,-1,-1,93665,259001,308994,-1,174911,-1,144551,-1,-1,792658,-1,7166,-1,819494,-1,-1,709885,272046,183849,-1,235661,-1,854105,879262,-1,-1,144042,909116,-1,164287,-1,-1,833206,-1,309654,-1,-1,169129,495210,-1,-1,504951,-1,-1,168908,139891,-1,197080,-1,-1,488000,-1,353939,86942,232884,-1,123373,-1,-1,-1,-1,-1,-1,692471,601309,131733,-1,-1,-1,275124,829239,-1,167083,-1,654494,131205,-1,-1,705980,758160,1579,809896,-1,-1,-1,-1,840438,59239,-1,423968,736212,-1,854526,286005,39034,186836,-1,-1,-1,-1,168326,-1,530600,-1,211493,-1,-1,765905,296719,5787,-1,-1,770887,-1,756182,963520,911079,702795,678471,-1,985030,-1,-1,121097,782259,949516,486246,59613,575537,-1,-1,-1,-1,-1,524970,-1,-1,-1,-1,-1,182045,445689,501700,211075,-1,-1,-1,975666,796701,861788,-1,-1,-1,-1,798497,-1,533807,-1,-1,189509,71779,836386,70858,-1,588314,301853,-1,312615,710665,-1,-1,752162,-1,140026,43382,416870,-1,665943,-1,-1,-1,-1,-1,-1,93862,-1,68816,-1,850273,-1,731675,284724,-1,-1,-1,-1,229128,454912,923741,1406,-1,904678,820226,946824,-1,-1,-1,495590,-1,812637,-1,-1,158106,228368,779753,3788,-1,301083,284434,-1,-1,-1,248498,-1,-1,-1,-1,-1,-1,-1,-1,143975,672060,-1,-1,-1,-1,-1,-1,679684,880228,869718,-1,-1,-1,-1,944828,641840,-1,830196,428059,821321,-1,-1,427895,921940,771635,422354,-1,-1,410912,890638,549546,-1,-1,546079,-1,-1,626042,546221,-1,366776,-1,237756,256903,-1,803185,133399,189113,410348,-1,-1,-1,543886,242168,63929,-1,608073,-1,-1,-1,349490,419572,-1,103058,-1,380183,953578,-1,4825,908894,-1,563430,415021,-1,-1,381846,-1,224823,-1,43656,737370,127311,831108,-1,-1,231693,668623,-1,-1,422128,-1,400599,637102,-1,243013,-1,432338,-1,-1,739168,-1,-1,207223,-1,-1,21691,-1,-1,383053,-1,440640,902570,209188,-1,345790,-1,432705,170529,731752,-1,698836,247170,-1,959550,494266,-1,478700,638179,-1,-1,386096,863873,608833,420876,953227,40280,-1,864610,-1,746306,-1,-1,-1,988106,263104,123767,378695,-1,34489,775089,666292,348790,14453,419248,344823,691629,913954,-1,-1,338360,-1,368786,350436,321160,-1,-1,726784,-1,562053,964901,-1,763595,94926,-1,-1,954555,-1,-1,-1,36643,-1,-1,-1,811488,-1,110141,-1,936028,928791,741796,-1,355866,-1,-1,-1,353099,-1,556209,-1,784723,-1,-1,725203,-1,-1,748139,382685,-1,126591,958114,993479,-1,-1,435095,-1,-1,-1,423595,442989,-1,76427,124732,-1,263521,-1,591815,549975,-1,-1,425486,-1,-1,843979,-1,-1,-1,337184,-1,-1,943551,-1,273305,-1,-1,541849,-1,842249,-1,-1,339838,502872,-1,-1,426692,-1,464254,-1,437380,-1,209750,-1,-1,210112,-1,827395,256875,-1,40430,223144,-1,-1,56137,942092,-1,-1,-1,-1,637194,-1,-1,-1,-1,-1,-1,523833,-1,-1,199221,850853,608271,-1,57994,-1,430258,671936,-1,206146,-1,-1,-1,778662,-1,807631,256396,904317,502260,781700,966112,748774,-1,249994,-1,-1,700146,379242,-1,-1,241943,910776,520036,474897,-1,470789,-1,361479,264600,-1,-1,-1,70127,-1,682450,-1,46145,-1,-1,-1,-1,-1,814426,997494,222834,44482,-1,-1,-1,400242,-1,-1,328626,-1,-1,-1,454996,887194,347346,152933,275774,-1,-1,416526,-1,-1,321803,-1,-1,-1,-1,866149,-1,-1,47745,-1,-1,722133,718510,-1,-1,-1,-1,447632,-1,756478,-1,624646,-1,-1,-1,471513,-1,-1,323050,-1,-1,619914,-1,566443,493068,-1,-1,123085,226071,-1,-1,-1,379692,-1,-1,196811,-1,408790,-1,-1,65317,859230,240174,-1,510520,221138,250859,617961,429461,-1,-1,238867,449147,963246,-1,525614,465209,192771,875724,88056,639154,914827,-1,400731,-1,-1,286975,-1,730130,639739,-1,-1,924604,-1,-1,-1,-1,107872,-1,60445,-1,-1,78483,-1,-1,-1,93315,-1,-1,-1,285263,-1,-1,801705,-1,928453,730355,-1,-1,-1,-1,-1,966334,-1,-1,-1,-1,-1,429993,-1,-1,754397,695264,-1,-1,806691,-1,-1,-1,-1,827732,-1,453779,402207,-1,218178,-1,552121,-1,-1,-1,59063,-1,515568,941207,855951,424100,316582,582517,-1,655126,-1,692666,67677,88586,-1,-1,-1,600098,962358,647514,190767,955025,88131,697251,-1,80065,-1,-1,-1,-1,916662,-1,-1,304235,-1,13824,747707,-1,946587,-1,821860,586621,-1,-1,61487,550824,-1,137923,546677,205600,-1,-1,-1,177196,369626,244078,231550,266329,-1,378789,33981,179991,-1,844398,425440,3595,-1,481519,836432,345009,829663,60908,-1,637350,967835,-1,234227,-1,24213,863782,-1,-1,-1,440055,-1,529116,-1,113133,146373,305371,816197,90803,-1,143096,870125,825929,-1,1240,-1,270557,341432,558540,226060,-1,-1,-1,-1,658570,-1,-1,-1,-1,268184,378092,-1,-1,947288,-1,262747,988776,860315,340534,914940,407555,756228,49120,50971,101071,275936,-1,28538,215526,-1,622486,834507,-1,-1,22552,-1,-1,-1,-1,322441,563769,-1,482316,621003,-1,923845,954432,-1,845255,-1,523368,-1,-1,-1,-1,-1,-1,-1,447839,853552,-1,393387,-1,735107,159240,769388,835804,853227,-1,-1,870217,542618,-1,999059,-1,-1,-1,-1,-1,-1,7132,693892,-1,-1,996108,-1,79379,-1,-1,244170,594544,657117,149258,-1,288555,954824,-1,608564,-1,894223,-1,510290,147077,-1,-1,170755,-1,928379,866405,420943,660166,-1,739202,-1,-1,926864,-1,255876,-1,39051,-1,-1,-1,837736,-1,-1,314935,691463,219202,221677,-1,-1,-1,388461,115975,66464,310287,-1,-1,660118,-1,-1,59609,515691,-1,942291,-1,106843,-1,-1,703415,584995,-1,-1,974000,482094,-1,-1,215395,-1,-1,-1,11963,268240,-1,-1,-1,104187,-1,-1,-1,753332,108168,-1,-1,-1,174651,693431,-1,-1,635387,354594,-1,-1,894079,-1,842407,564155,-1,-1,89777,-1,-1,770786,-1,783705,-1,253409,98140,-1,-1,903256,-1,15237,41989,449334,665360,-1,-1,285872,989362,810813,-1,248817,939549,-1,626751,-1,191845,998058,-1,-1,-1,-1,537734,584040,-1,-1,-1,-1,-1,-1,579506,786574,791044,787607,122628,-1,868227,-1,-1,-1,803909,985336,-1,-1,-1,-1,826414,-1,-1,144654,696189,838244,-1,360240,671204,796926,-1,345582,-1,958696,100012,134729,638872,-1,510149,-1,-1,157584,435617,-1,403963,-1,325892,129519,248056,-1,645796,-1,745531,-1,-1,102179,673317,-1,-1,-1,-1,960288,674449,626310,-1,-1,910452,417060,498560,419946,-1,644875,733866,938330,-1,76789,343794,54405,-1,-1,-1,872860,-1,334197,-1,-1,-1,-1,997331,-1,-1,551271,-1,-1,265859,182169,956318,-1,174521,446206,250845,-1,143852,607160,-1,511435,-1,975184,665717,-1,-1,-1,754501,199605,395447,-1,456418,1997,-1,-1,-1,723460,-1,-1,59457,-1,-1,-1,341696,-1,-1,830572,186440,-1,-1,825483,664572,-1,-1,-1,894535,-1,704840,774271,201662,-1,-1,670228,13271,213639,389128,-1,727883,813991,-1,763016,-1,547875,554417,-1,-1,79269,-1,-1,98087,-1,-1,756455,-1,-1,-1,-1,-1,-1,985814,775692,-1,610681,-1,1347,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,762949,190642,-1,330212,-1,-1,-1,670816,866544,-1,-1,-1,758316,710490,734522,326696,-1,387004,734741,573700,370068,-1,105225,-1,-1,192013,810877,-1,-1,-1,398184,-1,-1,17620,-1,658978,801108,-1,-1,337067,-1,-1,-1,48796,576081,20157,115274,-1,-1,-1,-1,-1,-1,-1,-1,777339,-1,24771,-1,47919,-1,-1,996685,245680,-1,950109,-1,959595,27918,-1,635597,-1,-1,-1,-1,-1,-1,-1,604404,863648,-1,131072,313114,642800,-1,-1,42203,-1,-1,-1,-1,345971,361272,363904,-1,-1,-1,455768,206907,-1,-1,733804,716270,649391,880525,-1,-1,285775,72009,-1,682536,-1,-1,895631,311051,484988,793616,800128,381623,263271,329156,837549,281767,689248,780797,-1,610566,-1,-1,359266,742418,187964,470446,-1,510732,704926,577386,-1,-1,281848,178371,-1,921729,-1,-1,377135,501662,-1,867654,418759,155046,617556,-1,-1,823652,684553,43180,96566,63659,-1,-1,649243,-1,624189,842416,209744,-1,202748,-1,673044,862749,-1,-1,-1,-1,-1,-1,-1,-1,-1,304019,37804,-1,-1,52634,293860,-1,-1,-1,-1,408036,-1,-1,-1,783422,903331,-1,811863,-1,399638,87964,-1,908557,251588,560037,283124,-1,542607,688420,783199,-1,-1,-1,856633,-1,509927,784044,73660,556737,-1,-1,446791,-1,-1,212696,229767,453544,-1,-1,-1,-1,692374,-1,750831,890501,-1,39989,-1,985215,-1,951810,-1,-1,481277,866893,410047,-1,-1,-1,-1,189229,771061,268993,315765,40183,-1,-1,-1,-1,178814,-1,644503,813435,-1,-1,639849,-1,506577,-1,-1,609738,850428,97467,-1,-1,-1,-1,-1,-1,360928,788403,-1,131791,753884,781183,-1,-1,361141,-1,-1,-1,950551,-1,692224,-1,25471,-1,-1,-1,-1,-1,-1,417749,-1,-1,-1,622772,51866,364913,-1,796821,-1,642774,440976,-1,977194,888224,318502,222878,-1,-1,-1,288733,338261,708811,917186,369797,-1,647608,-1,829797,-1,-1,-1,235514,113140,978420,314136,248809,-1,942069,460265,743073,-1,241438,-1,871230,-1,-1,290968,358222,-1,-1,126832,588192,-1,-1,-1,-1,565894,649793,497341,249208,308122,378469,810648,720283,413613,-1,-1,-1,696363,937349,-1,-1,-1,-1,-1,697820,519532,113327,325736,708455,7288,-1,581553,593326,454989,451410,-1,-1,-1,234710,696124,-1,905020,-1,-1,206943,323731,235691,254108,-1,214953,-1,-1,438934,44696,-1,90579,413551,-1,706009,-1,155868,-1,916544,-1,-1,112978,567672,761394,-1,558021,963678,213360,-1,335442,-1,519591,695443,-1,546186,-1,-1,65660,498531,-1,707677,965612,555555,281558,-1,-1,-1,84916,731802,-1,31600,738319,-1,314578,-1,358945,-1,474548,400720,731261,336041,216484,302717,-1,-1,-1,-1,-1,-1,-1,213725,849143,685353,-1,276832,-1,-1,130438,839718,834470,-1,-1,-1,368746,-1,236165,-1,-1,301085,921914,-1,88296,-1,-1,13119,-1,533961,923681,-1,-1,625538,-1,-1,-1,108543,172953,-1,543935,375938,-1,-1,447812,40573,-1,93248,512950,-1,-1,-1,-1,299825,916978,153762,37693,420578,-1,988127,242651,283708,862573,-1,659661,535717,928806,-1,-1,740891,870040,39121,179717,963306,993333,-1,-1,693787,-1,-1,689407,254083,167976,752626,704860,-1,105822,649767,676571,-1,-1,-1,-1,837778,-1,-1,692392,297107,-1,-1,517549,-1,-1,744238,74305,673931,-1,955029,133437,-1,933826,-1,-1,-1,-1,750961,-1,109703,242753,696947,-1,593874,-1,835147,-1,388815,802549,603626,506088,-1,629596,-1,-1,210201,78948,-1,926776,319407,617392,513408,766875,-1,895154,821059,-1,749349,616356,142967,558868,-1,-1,108039,327657,68118,244325,169976,131864,-1,-1,-1,-1,260593,-1,-1,-1,44714,-1,373861,459610,140889,-1,-1,457460,-1,-1,501680,-1,741876,-1,478518,-1,830395,635718,-1,-1,-1,625568,909000,415574,125568,-1,-1,-1,-1,-1,170798,993593,923334,442579,-1,-1,687736,84528,-1,-1,561235,-1,-1,-1,-1,22741,870452,-1,-1,-1,249963,-1,326800,-1,883670,365836,-1,-1,602108,-1,503490,-1,310848,-1,385029,439690,53069,-1,607066,-1,495086,-1,-1,546432,771896,-1,267874,717835,-1,-1,-1,823133,968590,-1,-1,703475,-1,-1,383429,-1,626279,511582,-1,758359,-1,-1,644886,-1,-1,-1,-1,598210,-1,688105,439018,-1,-1,-1,698418,-1,-1,-1,109250,735685,880931,32875,585734,176606,980139,78371,-1,45815,86410,548739,173438,-1,576248,-1,-1,512961,175009,966582,-1,714938,198809,-1,-1,-1,-1,-1,-1,966738,66326,481606,-1,-1,764817,-1,336214,-1,309441,299919,-1,-1,682806,194958,-1,104965,-1,-1,342610,737599,-1,-1,597098,-1,-1,871460,-1,319080,522046,527170,-1,117275,967850,555335,-1,-1,634086,-1,-1,-1,179766,389272,-1,124235,838067,557470,891084,-1,125772,-1,-1,904760,871908,339571,-1,-1,981329,-1,897135,780605,137154,274015,-1,-1,531139,729170,424512,88057,-1,-1,-1,-1,-1,570583,952873,777932,-1,-1,-1,296365,-1,445081,30193,-1,-1,541627,473264,-1,145757,885048,931619,-1,873012,574337,-1,-1,-1,478246,-1,-1,7546,-1,432795,-1,-1,-1,-1,196699,-1,-1,538572,-1,-1,-1,-1,-1,-1,-1,642882,-1,593746,777485,611563,-1,-1,186625,-1,-1,403031,219113,-1,-1,-1,-1,-1,-1,-1,699290,-1,618881,-1,47002,-1,789883,350824,836904,-1,-1,296788,-1,307976,9512,-1,-1,-1,-1,228759,-1,-1,-1,-1,-1,740885,-1,400533,-1,-1,386655,-1,-1,265674,-1,821038,-1,581683,-1,999904,-1,-1,-1,-1,289404,433235,630620,-1,-1,242074,-1,310812,139425,617465,811471,-1,999160,-1,675035,552447,867302,57923,-1,929028,-1,250102,181008,928347,-1,922735,-1,-1,454309,-1,-1,900282,830736,-1,626686,373311,-1,-1,953820,994034,727300,184383,447226,954149,-1,-1,761866,433553,-1,494938,654580,-1,654894,210096,-1,-1,-1,-1,131653,-1,490206,952335,243418,-1,685709,191803,893348,789929,-1,-1,-1,888663,-1,-1,864934,-1,-1,-1,-1,-1,-1,-1,901544,158863,-1,-1,-1,455262,-1,150747,-1,77804,-1,-1,363498,998100,346329,491039,-1,701674,239304,218715,-1,983494,-1,879796,-1,-1,-1,582387,-1,533363,-1,-1,-1,761189,-1,754296,629801,-1,-1,423055,18086,400028,-1,821576,224949,-1,-1,260488,39016,-1,-1,-1,-1,701121,-1,-1,637307,-1,-1,186313,446571,131704,-1,654720,-1,-1,-1,461298,38068,-1,762088,-1,-1,-1,-1,-1,-1,119491,-1,922389,-1,-1,-1,-1,846509,611608,561628,844969,252950,-1,-1,623151,-1,477418,-1,-1,591408,-1,135988,878046,998178,-1,-1,271775,706200,-1,-1,63771,295434,142657,-1,-1,-1,6666,11023,781402,-1,-1,994690,-1,-1,-1,-1,543123,420469,-1,981872,-1,-1,-1,57242,-1,-1,747162,725599,-1,-1,377142,28496,-1,208968,-1,-1,350255,-1,291812,-1,732109,476436,645302,-1,-1,594444,-1,-1,-1,-1,530609,859773,270422,437437,87468,480405,690522,690484,-1,-1,88479,-1,-1,-1,858324,-1,-1,808986,995789,678735,898116,-1,870488,854978,428031,-1,-1,-1,816552,-1,-1,790174,-1,638534,289936,-1,-1,367308,558870,-1,-1,212873,195008,401089,830507,-1,-1,-1,-1,442511,-1,901349,70154,82605,-1,78604,316811,717071,-1,-1,-1,357952,567872,-1,282243,74649,-1,556467,-1,669254,-1,919639,970372,797271,33008,-1,-1,-1,524650,-1,385274,-1,637398,152542,259322,-1,-1,-1,-1,597769,-1,130398,-1,953286,352158,-1,962357,-1,-1,-1,-1,183300,735480,-1,885280,196950,691343,-1,813196,-1,967905,-1,978052,924573,968437,-1,-1,687907,56248,504363,-1,-1,-1,706909,-1,-1,-1,-1,254079,-1,-1,387989,-1,-1,91518,621529,308722,858606,768036,257172,-1,-1,-1,997277,-1,526073,-1,-1,566666,117031,-1,306678,971206,-1,632309,762496,859264,-1,-1,6515,-1,-1,128733,238854,-1,-1,902192,-1,-1,-1,256732,846163,-1,8736,349807,-1,-1,-1,-1,642400,-1,-1,-1,117282,-1,345379,-1,356718,110440,912286,-1,262737,671496,528339,782329,-1,141924,-1,-1,199608,-1,-1,863111,-1,70070,231784,208765,75115,-1,94372,352505,-1,-1,-1,960547,-1,913997,-1,-1,713955,-1,-1,-1,68969,-1,422407,638108,-1,441336,285764,237106,293929,-1,-1,-1,117392,836421,862460,-1,705745,-1,335471,859166,-1,-1,-1,-1,-1,798022,951707,-1,-1,322126,220193,-1,-1,-1,258413,-1,-1,-1,-1,-1,920438,-1,-1,221592,226322,-1,701066,648535,56671,-1,-1,-1,28269,-1,77404,372720,-1,513011,325605,569027,-1,608815,-1,-1,376228,-1,765121,188056,-1,-1,227888,262474,153602,-1,814578,384071,-1,-1,-1,288931,202613,935941,509290,269952,-1,-1,444367,263326,483090,88101,656544,-1,591535,-1,-1,56863,-1,-1,-1,-1,-1,-1,369807,-1,-1,-1,506368,499104,340216,743413,-1,-1,97451,-1,-1,734847,398614,-1,-1,-1,-1,-1,-1,412880,323418,359631,2014,-1,603592,-1,994797,172409,-1,624866,-1,-1,329607,224807,-1,823859,-1,717724,-1,-1,-1,397609,769451,782630,467374,-1,661472,426896,-1,-1,693683,-1,-1,80044,-1,-1,897540,-1,-1,-1,-1,572428,773312,-1,-1,-1,361886,897303,767752,994855,719777,113024,-1,-1,154476,422773,372090,134545,-1,706941,-1,645097,-1,-1,-1,3796,-1,-1,91267,-1,188960,-1,-1,-1,663887,-1,775483,-1,-1,969944,-1,-1,-1,794121,-1,-1,319088,452660,-1,822857,-1,429990,168410,-1,-1,-1,-1,-1,-1,-1,-1,638106,-1,-1,393660,-1,561146,186676,463859,-1,-1,413082,477636,-1,80858,896948,-1,-1,708578,41172,-1,-1,232007,-1,771785,503142,-1,651351,466612,-1,694094,-1,-1,716198,246511,-1,-1,-1,-1,-1,-1,-1,125709,187038,884925,920579,948625,534512,-1,-1,-1,-1,69770,-1,44235,-1,-1,-1,-1,655046,485830,76103,-1,-1,6747,-1,454592,23372,-1,257701,-1,706366,947641,844614,844490,53312,-1,-1,-1,-1,69824,365010,399647,-1,103093,-1,-1,215729,316055,622020,-1,999868,963699,-1,909104,31836,-1,718266,378540,972451,427009,-1,-1,717115,-1,-1,-1,31972,629074,-1,312901,294673,-1,-1,246723,-1,-1,898344,-1,877838,-1,-1,-1,-1,692917,-1,324176,-1,714307,-1,-1,919452,-1,-1,-1,243644,-1,456978,264851,-1,-1,92419,342174,-1,572781,693117,32471,515906,-1,323168,-1,-1,-1,442281,-1,-1,-1,836698,276737,456773,-1,-1,524474,252103,669886,-1,-1,457253,-1,644258,123159,111586,-1,-1,-1,382295,862681,-1,976588,400582,918347,894554,287803,-1,-1,968756,801036,-1,502769,834148,275714,358291,-1,-1,-1,983450,960517,652546,-1,503024,744989,552312,-1,630647,-1,-1,507532,310636,875864,-1,-1,462934,308532,-1,947504,483668,292028,-1,-1,121927,-1,793139,256866,61637,913344,732237,434071,-1,431967,198133,-1,922441,-1,-1,-1,-1,278412,453868,-1,-1,-1,734904,-1,864985,323720,142322,-1,-1,-1,844981,-1,-1,489488,859062,-1,716532,-1,997050,-1,-1,646093,68411,-1,611509,-1,952227,542553,-1,-1,447078,489792,-1,574616,-1,360690,-1,873451,666546,-1,-1,641035,-1,960973,-1,-1,-1,-1,576711,229047,-1,921647,-1,-1,-1,-1,873736,144724,451862,-1,-1,339772,972813,-1,988058,576051,459690,16230,868311,-1,-1,764297,-1,707686,-1,941261,276806,-1,310418,-1,-1,-1,-1,731834,561772,-1,-1,516039,-1,-1,423509,706387,-1,-1,-1,703015,151836,-1,-1,693591,374285,729948,759464,193336,-1,926099,106959,-1,-1,-1,575882,-1,-1,-1,-1,-1,590847,-1,-1,-1,-1,-1,367821,155676,121031,440339,134614,882901,123623,-1,75850,-1,501385,-1,662940,-1,-1,13577,103899,952175,849943,57150,-1,-1,-1,-1,565040,342660,-1,-1,-1,-1,320723,781684,800674,314429,504094,-1,-1,799794,601526,-1,897071,748183,-1,368560,530284,186751,-1,-1,-1,757702,635883,407431,669164,-1,-1,-1,891574,-1,623328,-1,973660,178336,905307,79241,-1,-1,446089,-1,418113,-1,10934,-1,320884,-1,291789,97157,266835,830565,337586,934920,-1,123526,-1,-1,-1,-1,419000,-1,-1,331259,46008,-1,728822,504663,-1,-1,-1,-1,423603,-1,-1,339393,-1,744212,616955,595320,-1,820411,-1,657273,79292,537664,-1,691052,-1,-1,-1,-1,897890,209584,666539,767888,-1,398947,-1,-1,408468,119997,-1,-1,447243,-1,-1,-1,-1,234865,-1,-1,961725,-1,-1,79820,-1,242473,-1,933260,-1,160684,-1,-1,-1,515099,552118,756364,281341,-1,352383,-1,915906,240446,-1,537599,-1,773503,-1,-1,-1,-1,866868,976715,66245,-1,-1,-1,-1,-1,-1,435025,-1,-1,986656,597298,517500,822893,-1,-1,-1,205810,364481,-1,245798,-1,-1,-1,-1,945373,-1,558720,386769,276191,-1,-1,-1,528490,-1,39394,789713,215049,937986,-1,-1,471930,-1,216337,453968,882609,-1,635972,254452,-1,-1,536929,111694,954263,343640,-1,866784,738223,611397,-1,-1,-1,-1,-1,612216,991693,-1,447780,178102,398986,-1,536550,-1,-1,-1,624946,-1,113620,246623,506431,536397,704597,-1,-1,775134,-1,-1,548338,78240,-1,-1,-1,574845,-1,239132,727209,-1,24399,-1,-1,218245,532575,-1,-1,-1,-1,591688,-1,545984,-1,-1,-1,-1,-1,-1,-1,-1,-1,295143,439765,-1,-1,229456,476321,-1,888262,-1,-1,918878,-1,-1,98193,461109,-1,571336,-1,645383,547946,-1,753513,-1,-1,-1,-1,-1,259969,-1,515317,291022,922149,-1,-1,736703,54549,-1,384490,-1,-1,-1,273990,-1,-1,-1,-1,704822,69218,-1,-1,-1,563147,301811,44859,177009,805763,-1,688392,-1,892470,-1,363580,285790,672397,-1,515093,761236,-1,453559,-1,-1,762081,-1,-1,25706,-1,-1,-1,-1,-1,677839,-1,107267,991507,246936,-1,-1,43853,-1,-1,909264,-1,535558,-1,-1,-1,-1,-1,-1,703439,560306,-1,-1,78263,-1,-1,-1,-1,-1,-1,-1,-1,-1,83224,902359,-1,210424,-1,-1,949718,-1,801396,-1,912611,778398,-1,-1,423384,-1,-1,-1,382005,-1,253813,95692,-1,66474,-1,-1,199136,-1,-1,-1,-1,-1,194017,-1,416399,-1,-1,284646,-1,372791,-1,-1,-1,108956,-1,-1,-1,-1,-1,-1,358131,537707,-1,193282,-1,-1,-1,-1,-1,-1,-1,848185,-1,-1,-1,156156,-1,-1,-1,-1,-1,950650,-1,-1,531291,735241,182128,309495,934674,-1,39512,858258,-1,-1,850942,418208,389261,-1,-1,-1,-1,852581,-1,-1,677853,-1,325514,-1,-1,-1,-1,-1,-1,-1,-1,856236,-1,-1,985734,-1,-1,-1,868230,-1,-1,-1,889786,346270,-1,-1,137004,732815,-1,697085,249817,-1,798379,145287,358416,442046,627533,647580,-1,989771,945222,271628,838699,349875,587773,-1,-1,-1,-1,858584,218430,549629,-1,-1,-1,-1,-1,220003,902361,-1,469993,-1,206443,126801,-1,-1,245221,16892,-1,-1,588316,892858,655639,606520,582332,19264,457785,-1,-1,256951,-1,427846,567052,-1,-1,-1,-1,-1,-1,850489,960745,-1,969493,777895,659709,885766,-1,554641,-1,-1,-1,-1,-1,-1,475166,868163,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,514266,-1,9630,-1,-1,-1,-1,560266,243135,427067,-1,-1,-1,-1,103615,-1,724835,222025,275055,-1,-1,-1,-1,-1,349539,173981,555976,-1,-1,822662,-1,152859,497084,725769,111565,-1,-1,721438,747984,-1,-1,446111,-1,-1,833468,580050,-1,944446,-1,-1,-1,140604,-1,318145,-1,-1,971876,-1,-1,84500,957930,-1,259422,52613,-1,-1,-1,-1,228411,947355,576284,-1,-1,-1,665282,-1,-1,576260,474121,7369,-1,993692,-1,-1,276959,-1,144961,713328,-1,749988,-1,717269,677977,-1,-1,-1,508761,235820,-1,-1,-1,-1,-1,347117,-1,455512,287748,-1,552537,-1,181349,-1,-1,593282,-1,307223,291628,587698,180610,783874,728313,986737,-1,-1,-1,-1,890235,604007,877671,-1,-1,-1,-1,-1,419453,-1,-1,-1,-1,-1,28229,310380,-1,762054,-1,468722,-1,665647,-1,449330,-1,373322,-1,-1,-1,568583,-1,-1,396293,388975,961014,-1,65681,-1,787456,-1,217198,-1,613354,789352,113234,762114,-1,-1,886584,-1,-1,-1,839296,226038,-1,504928,210554,-1,-1,118800,-1,992392,-1,-1,-1,-1,993340,-1,-1,355594,388711,-1,-1,337471,300754,913664,-1,761105,-1,157491,947784,-1,438904,194701,-1,-1,284009,-1,981183,-1,153961,139008,596049,384420,905810,301595,446615,363076,-1,634861,-1,-1,-1,-1,588320,-1,-1,-1,-1,271174,-1,-1,-1,985485,543498,-1,816986,928442,840299,448679,929400,-1,-1,800703,812349,835590,-1,-1,355459,984432,-1,-1,-1,-1,45335,-1,226901,805409,692846,849661,161841,-1,850924,417537,-1,-1,305738,-1,-1,-1,423412,845467,-1,724969,-1,13912,951696,-1,668498,615543,-1,790809,858288,-1,871081,-1,674535,510222,774529,775208,395624,-1,560207,13971,-1,569324,471768,495640,-1,870439,-1,109516,468865,568139,13037,359129,-1,-1,768459,864102,-1,715369,563317,-1,987075,746564,89430,-1,575227,594679,-1,-1,348862,-1,732360,-1,-1,462004,-1,64447,-1,498282,736346,584746,44687,-1,-1,-1,187852,-1,-1,-1,-1,182477,680654,443775,716403,-1,-1,605124,-1,166445,362453,-1,-1,-1,455940,466944,-1,409083,-1,58173,100711,374725,-1,-1,498893,-1,369687,-1,-1,-1,808006,266811,685914,583384,467108,485076,870327,368648,625795,-1,809159,986300,700055,578583,715238,911207,-1,448713,563026,123748,138830,-1,-1,-1,316692,706680,114010,-1,-1,-1,-1,152723,538409,493221,17665,-1,-1,-1,-1,-1,-1,-1,-1,-1,852041,23336,-1,221475,-1,-1,-1,36088,-1,-1,708727,-1,340067,202671,-1,729751,149169,-1,287762,-1,956123,927765,946659,-1,-1,-1,-1,449030,790145,387040,-1,-1,320771,366281,-1,827727,-1,-1,-1,-1,-1,631351,-1,115286,-1,840632,-1,516823,-1,-1,254376,361960,782603,-1,115196,400361,703141,316292,413094,-1,-1,-1,-1,579392,-1,-1,-1,914644,-1,-1,801334,612478,-1,300877,-1,-1,-1,-1,-1,475770,-1,390370,791499,-1,-1,736554,-1,740278,-1,-1,-1,374409,26917,-1,104134,-1,89040,-1,262131,-1,148105,-1,387281,206274,157322,965553,676754,227358,300750,218313,-1,-1,136610,308683,689404,50239,836336,760556,-1,-1,559016,-1,592496,-1,475206,-1,-1,-1,-1,-1,317002,285424,728553,120959,804055,912090,-1,-1,408899,-1,796952,564832,871879,-1,-1,-1,-1,-1,951698,-1,506,766902,-1,982441,350386,-1,550186,-1,622660,-1,-1,-1,-1,-1,-1,-1,-1,98208,-1,-1,-1,756238,921806,844429,176513,-1,-1,846532,-1,-1,-1,913179,205843,508331,-1,841817,503821,-1,367275,-1,-1,-1,548571,268085,-1,-1,875392,-1,489990,-1,712010,268,-1,-1,713485,-1,873675,119084,937178,-1,754567,-1,-1,113597,249661,635004,-1,-1,639498,343275,517530,-1,-1,-1,2862,120257,34797,-1,582512,432336,-1,-1,-1,-1,-1,-1,880765,-1,-1,476020,19487,-1,66466,-1,-1,-1,-1,-1,-1,512622,-1,405656,-1,-1,-1,-1,717083,277981,-1,278073,159429,746427,-1,766265,-1,573474,491071,-1,-1,-1,130974,-1,758400,444283,-1,542374,-1,225879,385751,588849,827359,-1,-1,815370,-1,623112,768684,-1,207459,536450,714591,764596,232690,-1,313363,343138,-1,-1,399221,351488,729154,-1,-1,-1,551600,-1,262627,114047,-1,-1,-1,-1,796836,-1,317307,899872,-1,460887,-1,-1,-1,657343,633749,865455,278027,234017,616735,-1,-1,-1,333868,224422,409016,-1,-1,-1,-1,37614,-1,-1,-1,-1,330662,-1,-1,-1,545974,-1,869066,-1,-1,-1,551459,-1,165303,-1,257848,810918,438324,-1,-1,834279,139519,-1,-1,-1,-1,-1,-1,-1,-1,645347,127294,82937,123556,530633,260247,336298,309017,-1,335799,-1,-1,753653,686069,367406,880105,-1,-1,79891,799525,-1,-1,-1,-1,477252,562408,-1,-1,-1,419631,764677,-1,-1,-1,-1,705115,-1,-1,144809,-1,-1,27380,-1,976016,-1,-1,-1,415181,612545,137898,510775,-1,-1,-1,-1,-1,-1,103771,308842,-1,-1,724108,-1,-1,807086,943239,124920,566467,356108,-1,793050,40782,-1,-1,-1,694951,907923,-1,-1,577901,-1,24868,-1,852546,993502,-1,915461,-1,-1,-1,175645,37230,-1,-1,-1,-1,-1,73783,150342,-1,376445,642731,-1,-1,571238,782030,-1,-1,-1,-1,883076,501208,-1,62844,-1,-1,-1,553770,-1,-1,66885,-1,-1,535842,249619,455662,-1,-1,727332,308945,-1,498687,632070,905199,719573,7576,-1,465191,-1,479624,474385,-1,346101,945837,804072,-1,-1,477013,929810,-1,609119,-1,489266,460281,148614,-1,-1,165280,49901,-1,-1,958084,415391,-1,602003,-1,-1,12329,377810,-1,-1,529948,432004,953827,800997,-1,-1,-1,906826,-1,-1,-1,535711,186841,-1,-1,597775,817363,-1,-1,-1,-1,574304,593683,-1,975679,-1,185307,-1,609916,442487,-1,322182,975503,395514,-1,858498,-1,808161,198080,798124,-1,-1,42781,41776,-1,172735,-1,-1,294048,427978,-1,830711,-1,-1,-1,898305,-1,-1,-1,-1,-1,550092,932203,-1,-1,237814,-1,496683,315432,-1,532389,-1,-1,568888,264327,-1,-1,198170,750055,-1,835549,-1,-1,-1,-1,-1,166352,-1,929234,820266,-1,-1,649612,163543,49308,-1,-1,637004,-1,-1,270413,-1,427683,506746,-1,452692,792142,71569,-1,702408,109746,-1,-1,-1,778174,894564,41120,-1,567968,217137,394125,305789,32411,602497,280102,-1,-1,-1,-1,-1,966103,943507,-1,832246,-1,897047,104001,-1,-1,-1,764272,-1,-1,-1,519967,-1,424129,146587,-1,-1,152810,243573,490751,861959,-1,701917,-1,-1,515426,19951,-1,-1,784845,-1,584126,-1,-1,249786,647159,-1,333914,795383,722560,204388,741591,107926,-1,660,656816,-1,-1,-1,716326,-1,449428,-1,638811,577239,-1,-1,-1,819561,62949,364220,-1,-1,655638,876281,471834,217231,-1,467327,-1,666976,769566,-1,-1,52372,658513,-1,287789,134853,619243,385880,465215,820605,460526,-1,-1,452531,-1,-1,322771,-1,-1,-1,-1,219036,-1,548874,140453,871136,-1,-1,-1,281210,-1,467594,653137,-1,634760,-1,461795,904407,-1,-1,-1,413274,68508,644752,-1,977211,446421,271698,-1,-1,-1,161236,-1,338511,209263,-1,-1,-1,205383,641971,-1,-1,622818,614639,-1,783273,238745,389363,862068,-1,-1,427396,-1,559257,984699,562,-1,-1,-1,459304,702118,111217,-1,496391,432322,-1,16649,-1,607280,-1,529282,-1,-1,377097,-1,-1,659781,-1,771029,-1,-1,645463,779134,243412,-1,340676,848342,807693,-1,-1,-1,300482,-1,-1,187726,22883,-1,522438,-1,-1,-1,836021,-1,317135,-1,-1,357860,111458,469939,-1,-1,226764,515553,970693,753003,5311,165825,-1,-1,784237,-1,532602,-1,-1,831853,-1,411622,566529,-1,-1,-1,-1,-1,-1,-1,726654,150103,-1,176011,-1,630414,862106,-1,109906,229220,458025,841574,426772,490740,196957,-1,-1,933353,-1,118481,855976,-1,46852,-1,882355,940341,-1,-1,869080,-1,186462,-1,394829,-1,335339,962739,591027,197391,981612,766949,725863,297747,987478,-1,-1,655680,-1,228292,-1,-1,901881,-1,96262,-1,-1,-1,441818,396948,547529,296808,434640,759859,-1,75288,516187,731733,738593,-1,-1,260109,526716,-1,767592,-1,329390,54920,-1,-1,-1,-1,-1,161560,29592,-1,-1,-1,106001,-1,972958,-1,414376,-1,689000,47370,390270,378748,613089,178895,-1,-1,751365,-1,435366,-1,302285,-1,-1,150612,679384,456335,-1,-1,112768,292904,945123,-1,866781,-1,297866,998078,207271,-1,821850,324880,-1,-1,-1,-1,-1,717550,-1,879957,-1,-1,508278,-1,-1,-1,435069,-1,841459,-1,-1,382938,-1,-1,-1,-1,819214,612086,678978,263584,-1,-1,748718,-1,-1,904272,-1,868249,845548,-1,244972,221166,-1,-1,287983,555391,-1,-1,-1,-1,227544,172401,-1,427768,-1,381543,-1,-1,862792,249376,-1,-1,-1,648464,925822,-1,-1,539549,716824,-1,239317,-1,-1,-1,92659,397626,-1,990208,-1,-1,-1,725831,564212,-1,-1,882850,-1,-1,-1,534592,-1,859447,-1,-1,210451,392977,-1,549747,420072,783710,739263,-1,-1,-1,-1,-1,-1,906407,233968,-1,-1,540931,935923,448193,-1,820760,-1,-1,401015,464313,803604,807271,-1,438088,441919,542002,306090,509481,318419,-1,750211,130669,-1,634147,-1,-1,-1,-1,-1,654148,-1,-1,175538,-1,-1,-1,889593,-1,795824,593799,-1,-1,835384,-1,-1,-1,-1,-1,-1,-1,871675,-1,-1,960539,-1,-1,-1,661559,-1,-1,475062,346174,-1,-1,-1,620352,85851,-1,-1,954240,543482,495286,834925,-1,171650,975446,458829,518668,441309,493788,-1,741057,-1,-1,-1,-1,104254,839691,257740,721160,818956,47168,-1,-1,-1,218712,363394,-1,-1,595380,371212,-1,476660,-1,383651,874438,-1,-1,77794,-1,-1,-1,-1,37251,885146,-1,511974,-1,704266,185065,-1,-1,718160,-1,162923,387413,-1,104929,695361,-1,-1,251663,598689,-1,-1,39375,921286,195061,6144,955814,678792,-1,506861,120611,964582,709754,612004,579058,936095,909393,552041,-1,460282,853656,-1,-1,998075,872227,846379,493608,950390,-1,909049,243508,330977,33512,899873,510956,-1,-1,-1,-1,-1,29718,-1,-1,-1,824640,202992,323379,-1,361898,-1,510972,394996,-1,256045,-1,-1,211842,-1,-1,496786,-1,207012,732987,326830,-1,-1,172668,783342,-1,389092,-1,201167,-1,-1,274229,925427,-1,-1,308192,-1,563567,-1,-1,735172,961869,-1,-1,816461,-1,130017,-1,-1,211696,300062,840982,788248,496965,993454,-1,-1,-1,-1,-1,389055,501355,-1,-1,244487,-1,-1,256533,-1,-1,484663,797876,45687,-1,-1,104958,51389,947557,675189,154289,761893,658645,90425,-1,418150,-1,701701,410514,-1,-1,-1,817200,442585,19721,-1,480861,19611,-1,758215,-1,-1,-1,-1,-1,-1,-1,-1,-1,303765,542596,-1,70758,-1,-1,596107,572306,137757,-1,736707,-1,582485,920572,-1,431661,493783,-1,408923,264118,-1,279070,-1,521862,311097,604955,-1,-1,817349,689046,476104,606570,361471,-1,600262,-1,-1,-1,587850,-1,-1,-1,551499,610190,723125,972196,-1,-1,13105,358734,-1,-1,717700,-1,-1,-1,184870,715957,947638,721429,827695,245223,-1,30868,522747,-1,122525,-1,-1,190993,-1,383247,799393,-1,-1,-1,-1,-1,825609,341521,-1,857767,821455,-1,538491,-1,-1,294845,166816,568054,886099,934212,79131,987432,217261,186189,-1,-1,-1,490168,-1,680249,-1,-1,572036,-1,671559,279242,63433,665074,-1,253846,-1,915002,22501,-1,-1,-1,-1,623376,673645,512174,-1,852171,518906,687439,-1,-1,87267,-1,591951,-1,826576,-1,-1,402015,-1,-1,634804,-1,-1,477239,-1,-1,-1,-1,-1,-1,230407,-1,231229,999083,274578,-1,-1,-1,8799,-1,642472,-1,451172,424812,953617,-1,88802,-1,-1,333860,-1,-1,891693,-1,-1,968717,-1,214649,-1,747198,681094,-1,-1,-1,435966,763110,577882,41913,-1,-1,789816,801385,-1,-1,-1,-1,105469,233096,-1,110377,-1,626281,64991,-1,958574,82410,-1,444567,117942,-1,-1,915570,769193,-1,-1,824873,908672,-1,-1,162939,903117,-1,878927,125510,-1,-1,449038,-1,-1,22365,46124,-1,-1,-1,13432,948056,-1,310028,-1,128744,-1,439180,-1,-1,470984,121468,-1,890675,-1,425366,897362,-1,850989,114083,599923,6114,686826,-1,551101,25110,-1,-1,-1,-1,-1,647346,-1,696569,274334,572601,-1,-1,-1,870109,426482,484667,-1,733250,-1,240193,-1,299142,37722,727049,138816,906399,429401,-1,-1,-1,42815,645954,324509,-1,758307,3529,676489,-1,-1,490192,-1,-1,67465,399593,149049,907761,52311,-1,-1,-1,733756,385051,-1,168610,-1,570106,-1,-1,-1,-1,259154,65682,-1,-1,-1,-1,-1,328811,-1,-1,67166,-1,-1,729773,-1,87825,-1,-1,565955,-1,470878,1074,-1,-1,789914,307994,721817,-1,-1,-1,192432,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,610618,-1,754463,680884,313076,24453,788270,252412,867981,494587,-1,324580,944842,-1,-1,506186,-1,-1,906865,-1,589120,575369,-1,-1,-1,-1,376188,526694,-1,-1,-1,668983,-1,-1,-1,-1,-1,41183,482053,-1,-1,-1,579444,32126,-1,182335,764923,570817,979399,-1,-1,-1,643813,436288,-1,-1,-1,-1,-1,-1,72626,-1,885444,963331,-1,-1,-1,718935,806200,587900,-1,33773,843121,294626,-1,640013,-1,687744,-1,683250,282538,-1,-1,576250,275286,217966,107163,-1,522617,-1,-1,-1,-1,646148,-1,-1,-1,-1,-1,-1,-1,382575,11669,-1,5779,-1,-1,543280,-1,36886,-1,457610,26877,747845,168224,419294,-1,49452,55028,-1,-1,-1,-1,58880,-1,-1,168627,-1,-1,-1,-1,759251,870525,-1,-1,313979,164514,982588,-1,285510,-1,41846,-1,-1,75739,-1,-1,-1,-1,91934,-1,594586,857433,-1,116005,186985,-1,355767,797660,911652,541725,-1,775512,791950,25785,-1,-1,640355,-1,-1,-1,53721,346271,-1,250214,-1,-1,-1,-1,-1,887903,-1,926215,-1,729639,-1,779819,126219,-1,921925,-1,418497,-1,877442,-1,522394,793002,326954,-1,4821,-1,-1,625026,-1,-1,-1,-1,-1,24099,-1,757020,178955,-1,306286,968872,2683,-1,-1,-1,-1,65168,388498,915500,615779,-1,-1,793371,-1,75602,474920,-1,391991,-1,-1,-1,989026,910684,890938,536002,27270,-1,197118,649989,-1,-1,869651,-1,-1,-1,495991,-1,-1,-1,-1,-1,866572,-1,-1,366970,885522,144412,426421,-1,154548,-1,-1,-1,-1,-1,1950,237938,80373,-1,945804,708486,-1,-1,258911,553078,322528,645402,666532,573623,-1,-1,854268,782505,943243,284137,26626,356749,837914,434709,-1,-1,263715,-1,-1,-1,318193,-1,-1,701203,107722,-1,-1,98219,-1,-1,-1,658755,885913,326753,321821,-1,-1,883170,60516,471273,204678,396211,-1,158288,196662,-1,-1,-1,-1,471784,-1,-1,-1,-1,810666,135059,-1,-1,409956,-1,19141,846154,-1,81337,995790,-1,-1,474710,168211,828971,164557,-1,-1,740195,672512,-1,854552,171476,584599,395789,615781,-1,964773,-1,394512,-1,-1,861641,97330,319653,-1,926054,894162,-1,989373,-1,581658,-1,822514,-1,-1,-1,-1,-1,712237,889273,464100,-1,-1,575854,323968,934330,578252,-1,-1,915850,951047,-1,-1,-1,386338,404949,-1,9124,160777,503199,-1,-1,-1,438441,-1,-1,242114,-1,-1,-1,-1,-1,-1,-1,124776,925090,180410,-1,355356,-1,-1,-1,-1,-1,-1,693869,791229,-1,485221,-1,-1,289738,-1,-1,784170,989565,582484,82862,939126,697104,430625,300633,-1,515482,-1,-1,-1,-1,-1,-1,-1,840099,859565,-1,209332,956609,-1,851941,-1,846759,-1,752418,429727,675746,-1,-1,-1,-1,-1,309343,-1,766724,-1,982327,639797,107110,-1,-1,-1,230192,-1,-1,-1,40416,69104,746170,70254,-1,931124,822018,-1,482837,-1,300722,-1,-1,493288,788998,425052,-1,-1,-1,574074,839728,-1,-1,179245,111315,-1,-1,204493,832362,768975,885640,-1,57024,-1,667159,630867,625306,509206,-1,-1,-1,-1,-1,-1,-1,996052,878647,845608,-1,959893,125925,-1,-1,151883,434031,58697,917152,296239,-1,488958,659321,-1,-1,268337,-1,-1,584664,435096,-1,-1,708285,671433,862482,958409,536818,707395,364304,405386,489510,-1,226577,-1,65202,288077,-1,352535,816611,-1,880850,-1,165988,-1,-1,444486,752976,-1,618462,36948,140412,685056,405395,301104,-1,-1,-1,818861,-1,649512,-1,850293,-1,-1,-1,859944,-1,-1,-1,-1,309674,-1,-1,919604,35585,-1,-1,-1,-1,-1,458413,315743,195194,44222,17513,-1,-1,939335,40311,-1,389389,-1,320769,100818,-1,-1,14588,-1,951144,795848,-1,695651,-1,-1,-1,410041,-1,272802,17117,862968,-1,-1,10945,493428,731476,-1,-1,-1,81191,-1,-1,488815,-1,882452,-1,682760,172631,373039,-1,236278,-1,623284,788620,276207,623956,-1,654389,-1,-1,789591,394207,795723,-1,285980,717478,-1,-1,851346,258937,614555,959808,-1,606059,975156,244596,-1,214211,-1,278086,-1,-1,46926,495120,-1,250977,-1,-1,-1,-1,836304,820490,-1,118694,-1,-1,183376,-1,954298,-1,659767,-1,-1,-1,177754,-1,-1,-1,-1,-1,-1,522218,60073,152432,-1,-1,504026,245292,270125,126568,402665,704477,241831,-1,604809,-1,139545,504267,537419,779543,790149,213067,93094,547101,222170,440901,435699,282315,845302,-1,-1,-1,-1,127361,616993,-1,519281,483471,405650,-1,209936,774453,280277,-1,545857,-1,511604,-1,-1,680760,-1,-1,-1,-1,-1,-1,351165,182466,-1,-1,324407,-1,-1,954216,165476,-1,-1,255052,689273,-1,531210,-1,-1,249137,-1,81524,-1,-1,-1,459603,729833,796825,-1,-1,-1,-1,867159,-1,-1,246661,-1,-1,724601,257610,-1,479484,-1,-1,814488,-1,191899,12536,900232,-1,153610,-1,-1,-1,-1,-1,947094,714678,-1,619132,720859,-1,598444,-1,761171,439122,-1,-1,-1,223782,-1,-1,-1,213045,-1,-1,-1,-1,952172,-1,-1,-1,-1,528949,-1,466370,707788,307004,652088,-1,-1,920141,239568,793799,-1,632739,818199,-1,649826,-1,-1,-1,509028,-1,-1,-1,-1,529534,521216,-1,-1,-1,497929,402881,962176,-1,543885,33369,791378,662107,952390,-1,-1,-1,283053,749427,-1,-1,513368,-1,-1,769460,539058,-1,-1,-1,-1,444612,-1,-1,983921,-1,95500,-1,560033,-1,775725,-1,-1,962918,-1,505972,799362,-1,-1,366750,-1,55355,-1,-1,737286,-1,-1,-1,-1,-1,439711,413531,692877,-1,302423,140272,40582,-1,-1,-1,-1,76178,-1,541791,-1,-1,132018,-1,-1,-1,-1,-1,73983,413055,-1,-1,405161,897202,240343,-1,615857,-1,-1,-1,-1,-1,-1,-1,133743,-1,-1,-1,926840,813818,784771,-1,-1,646341,-1,703534,-1,976345,-1,525002,716224,-1,-1,499153,-1,883392,-1,8045,-1,-1,-1,-1,-1,-1,205385,500632,695313,-1,141132,750819,251721,889156,-1,-1,-1,-1,779885,-1,539922,790545,272427,-1,744956,-1,851206,-1,-1,-1,-1,-1,28576,-1,-1,-1,-1,-1,-1,102128,-1,-1,-1,-1,-1,-1,-1,261130,678453,24815,-1,935444,-1,325567,-1,966537,-1,-1,177548,-1,281823,-1,850866,-1,559349,-1,608349,952530,768836,-1,284945,161777,584281,963674,-1,-1,441666,203204,92639,-1,960823,156392,-1,334455,-1,227039,355079,-1,51411,-1,681663,-1,385931,-1,-1,-1,844239,-1,935867,689900,-1,-1,234427,-1,392112,220805,99668,-1,514320,5578,373478,679701,395707,-1,-1,514051,369722,332138,471145,-1,616331,-1,-1,974867,922189,-1,-1,-1,-1,-1,554928,874673,-1,353535,-1,-1,119981,-1,896221,-1,863393,461300,871622,-1,-1,463536,138185,300630,-1,147439,-1,-1,-1,611714,-1,-1,882787,-1,646292,-1,-1,-1,565685,-1,929657,577624,112160,945861,-1,997851,-1,395072,-1,-1,-1,12012,764725,-1,355131,-1,-1,-1,-1,685759,814860,-1,-1,847068,978241,807012,628861,-1,-1,-1,-1,-1,-1,10920,-1,911449,-1,125964,-1,-1,-1,-1,290972,503168,-1,357369,-1,835502,-1,805845,104691,690862,951584,274016,-1,-1,-1,721848,541784,616287,-1,52447,-1,-1,-1,-1,500993,-1,294382,-1,-1,946337,489460,73406,-1,581410,-1,-1,556460,979881,777328,849953,199441,-1,751205,-1,775525,-1,854772,-1,582857,833035,692890,21633,450879,-1,-1,663747,970046,803565,803643,-1,-1,751520,-1,159302,-1,504590,130376,-1,-1,-1,823970,604828,376496,451827,255173,649640,-1,950927,-1,-1,-1,679560,220775,-1,471094,-1,539757,933724,525327,497716,-1,-1,138864,970286,-1,993217,150919,729509,787901,-1,188492,360726,-1,145788,-1,314099,-1,-1,-1,538391,904831,707110,679695,140661,-1,313575,-1,-1,-1,328901,-1,-1,720637,-1,-1,554053,-1,923138,678253,916047,-1,-1,851412,-1,575478,-1,849579,-1,145566,-1,231992,-1,-1,231097,437050,202813,158772,-1,435392,856740,-1,-1,563716,585783,-1,387242,243804,-1,96649,-1,-1,-1,-1,-1,-1,183191,-1,-1,-1,732033,166768,-1,772971,87628,503898,-1,-1,471871,-1,787500,762801,429888,-1,-1,222867,635949,358803,-1,-1,827694,669515,-1,-1,262965,-1,995485,97339,915923,957644,-1,-1,512182,62606,756608,406456,-1,780472,-1,-1,-1,252185,-1,315467,309458,-1,592941,-1,322637,-1,645798,258646,-1,-1,-1,-1,-1,-1,-1,245026,-1,-1,-1,417277,836844,183744,-1,186901,-1,690455,-1,968746,863131,-1,706139,-1,294428,538847,775241,987813,328167,-1,-1,-1,-1,97408,-1,-1,875169,-1,514946,-1,-1,753531,-1,392441,-1,-1,-1,-1,952264,-1,169689,-1,-1,-1,-1,-1,974304,289735,-1,-1,434946,-1,-1,396101,995341,-1,-1,730631,130988,98635,563541,759604,-1,-1,-1,-1,724270,454302,379871,-1,872999,908315,-1,-1,597355,707645,-1,179226,912456,306091,-1,-1,-1,-1,712746,-1,-1,-1,-1,690379,-1,248078,183791,-1,314667,964491,-1,-1,-1,-1,-1,-1,914771,158446,261326,-1,196593,-1,-1,86313,-1,710179,-1,-1,-1,-1,137555,-1,-1,129330,-1,843702,-1,-1,143353,210342,-1,-1,-1,-1,-1,105446,-1,-1,-1,518718,74564,-1,514956,-1,-1,565517,290944,870940,-1,273833,-1,936234,48000,-1,-1,828447,477320,-1,697485,-1,-1,-1,-1,29390,610284,-1,474624,-1,-1,691766,-1,-1,-1,491872,-1,-1,115749,-1,683256,943777,622735,70397,849015,-1,-1,-1,-1,362310,-1,106213,-1,155699,-1,-1,99518,-1,703158,-1,86249,202235,-1,177671,-1,922938,-1,-1,164163,-1,666364,-1,570084,281649,-1,-1,902562,738209,319446,-1,223609,-1,52967,800624,-1,206253,-1,-1,20981,-1,-1,167585,-1,-1,457492,-1,-1,-1,565237,734852,566021,61821,-1,-1,208024,-1,-1,-1,-1,582404,-1,-1,523364,543386,-1,-1,-1,787931,689725,645093,234972,873677,-1,-1,378448,739731,998621,-1,459665,142482,-1,127275,863731,114650,994876,821709,-1,-1,-1,328423,456768,-1,-1,517893,-1,-1,-1,-1,327199,953436,-1,-1,186832,-1,784681,329902,-1,971732,471674,-1,442851,198537,-1,-1,344101,436597,628748,862001,410771,-1,294321,-1,-1,374783,681365,-1,766474,-1,-1,203377,-1,501435,-1,-1,-1,570859,-1,-1,-1,284756,-1,415813,-1,-1,-1,-1,-1,696914,-1,-1,215463,609103,-1,167955,478550,166141,-1,-1,-1,-1,-1,944320,539117,-1,811333,-1,-1,835138,54137,210632,-1,802700,-1,699127,220353,-1,480615,240487,460506,-1,821599,-1,541817,37409,907536,-1,450950,-1,-1,934144,-1,-1,-1,-1,-1,-1,849488,-1,-1,672061,-1,-1,-1,-1,-1,990517,280068,-1,-1,-1,-1,-1,-1,-1,551057,697671,-1,-1,489222,624235,572007,850770,937837,-1,915852,-1,-1,416948,717959,424905,-1,-1,-1,-1,112018,-1,832141,209430,-1,-1,271508,746749,630602,-1,-1,-1,463954,-1,875495,-1,-1,-1,925992,-1,296873,220995,207280,-1,399502,-1,-1,792639,-1,-1,313320,164271,-1,826773,-1,598957,-1,-1,231123,-1,-1,-1,-1,-1,491508,101425,483223,-1,-1,235574,617123,796795,-1,-1,-1,713404,-1,85782,-1,-1,976860,151600,256907,333123,-1,-1,-1,-1,91560,-1,640579,634463,-1,-1,468762,411586,457472,697445,594353,-1,-1,-1,810804,855552,995642,-1,-1,123466,-1,-1,-1,731412,-1,616373,492687,899215,637352,-1,350286,196361,160133,574933,418990,-1,-1,899841,402262,126270,-1,263806,900918,806656,-1,-1,-1,-1,995444,-1,-1,-1,-1,698650,-1,669622,600955,694346,135304,416816,538827,747473,730279,-1,-1,-1,884930,467870,858901,161351,-1,192966,144951,724115,920755,252146,-1,-1,390831,873061,746379,447061,-1,996259,-1,907726,370889,994859,-1,-1,430521,84366,457493,831993,236763,216425,-1,212713,-1,107786,133373,-1,-1,-1,-1,-1,-1,694263,909188,-1,-1,410735,-1,-1,-1,6631,878658,312146,669601,588069,28359,-1,74087,469693,-1,505345,-1,310118,-1,-1,-1,404473,-1,-1,-1,-1,485347,-1,280126,-1,172304,-1,-1,-1,-1,570261,-1,955008,-1,-1,196901,792957,-1,-1,770515,845269,-1,-1,-1,82287,984897,-1,27141,-1,696556,286348,259753,-1,-1,-1,281458,52249,-1,827398,246041,-1,569373,-1,945269,694062,-1,-1,346606,482102,-1,-1,62964,740122,-1,-1,4846,321461,30643,979414,143570,-1,-1,-1,884946,294099,-1,-1,-1,-1,75419,852837,-1,241057,223779,342506,971967,29027,-1,-1,-1,-1,117393,-1,-1,-1,-1,-1,648424,174738,307883,-1,-1,-1,327764,298324,992815,138096,-1,395057,538496,-1,869047,119916,-1,793304,876108,-1,-1,482170,589888,295847,50065,-1,-1,-1,-1,-1,477130,-1,319303,185211,388137,793085,-1,-1,542089,745654,-1,-1,242989,732238,-1,45447,600558,152454,418471,412940,519796,378521,-1,124768,309809,-1,-1,650171,-1,-1,27815,862617,361237,620012,-1,714896,385586,-1,710346,83949,964593,256783,984450,608389,654818,-1,-1,862458,187354,-1,465938,292914,-1,395237,-1,453836,-1,-1,913615,136463,321403,751914,305347,451917,-1,-1,-1,-1,-1,357984,-1,-1,990441,-1,-1,-1,-1,694967,128675,24829,-1,-1,215968,-1,128544,-1,390343,421030,-1,-1,970192,768086,257495,780358,246252,664189,73118,-1,-1,692379,540761,391251,-1,-1,-1,712786,539849,-1,16279,-1,869855,-1,598088,24087,393,-1,-1,224119,294561,44461,980295,28097,-1,618360,-1,592957,-1,-1,-1,-1,896326,516866,-1,898519,446641,800514,-1,888730,755613,748144,630637,226744,109378,-1,-1,-1,-1,306366,-1,593177,457549,729655,391372,-1,-1,295612,-1,-1,-1,-1,-1,483208,-1,901604,-1,-1,-1,305071,-1,778333,247970,-1,-1,-1,838921,-1,577395,-1,266426,-1,-1,-1,683410,-1,263805,639077,-1,-1,730332,444893,445417,-1,528229,-1,444542,-1,994346,202059,605545,186633,-1,997528,258693,-1,460464,-1,-1,-1,-1,-1,-1,-1,697811,819934,311217,-1,641599,742746,317795,-1,925831,-1,-1,585396,22653,629235,682796,-1,927512,-1,-1,336173,-1,510319,-1,846081,-1,-1,-1,516592,-1,-1,-1,-1,-1,-1,-1,571243,-1,893076,-1,-1,-1,-1,-1,274935,513207,865210,-1,256759,-1,-1,-1,994208,306885,-1,-1,-1,-1,933455,592017,36383,-1,-1,-1,-1,-1,54401,443433,-1,-1,175416,-1,268140,237263,-1,-1,-1,843455,96249,121764,554835,272931,413492,-1,-1,598810,-1,-1,-1,98609,425425,578518,375294,882521,-1,480383,-1,609037,-1,929867,296055,47552,-1,473250,-1,117819,98364,968825,486141,-1,-1,47405,-1,-1,-1,411640,-1,-1,-1,-1,-1,293251,-1,-1,-1,770873,-1,780674,-1,364723,121527,391560,232394,79119,-1,793851,395511,-1,-1,-1,-1,676710,-1,-1,816525,-1,849006,635823,-1,881088,-1,-1,683693,328210,-1,-1,-1,-1,513870,408024,228831,-1,-1,-1,-1,-1,277042,372234,824685,647146,-1,240684,792457,-1,168852,955272,628525,-1,-1,-1,995282,552634,93334,-1,-1,-1,618541,588199,-1,525882,-1,-1,302714,-1,-1,-1,790815,-1,511498,-1,-1,906798,202053,317687,-1,487959,-1,-1,221355,-1,388106,365252,-1,-1,321808,-1,-1,529761,892649,923089,-1,534977,-1,-1,221508,-1,-1,350962,-1,-1,991299,321553,185008,-1,942160,-1,326831,62756,-1,-1,755867,971586,574779,157790,-1,61943,-1,736812,524042,386922,-1,832422,667434,-1,-1,798922,974363,633347,988232,-1,756045,201835,359981,412964,789091,-1,347521,-1,-1,984688,97934,-1,619435,-1,-1,-1,-1,277502,549319,316894,774632,844666,995198,-1,684042,-1,-1,782875,-1,560704,832841,695429,-1,18516,715767,900846,-1,-1,-1,70672,-1,136608,-1,-1,-1,-1,594464,701456,221463,-1,713338,-1,304406,-1,-1,491589,996544,-1,498552,-1,-1,591332,-1,-1,-1,752904,866001,350627,380391,187701,-1,264211,542786,-1,663563,-1,132559,-1,548177,-1,-1,684245,294530,212959,-1,-1,323845,522515,988747,-1,-1,380716,839120,877093,388538,-1,246468,-1,787005,-1,819274,990747,104752,-1,-1,242191,-1,357735,247030,484359,218327,-1,-1,-1,-1,734559,587239,954340,109217,-1,70443,-1,-1,416898,907897,609915,-1,492699,-1,-1,327011,-1,543909,-1,-1,-1,-1,-1,-1,-1,139748,148199,-1,695416,849273,-1,-1,-1,-1,555953,439278,441499,-1,-1,-1,-1,-1,629206,-1,810971,-1,-1,727596,-1,-1,-1,589506,257607,117072,606737,524152,-1,-1,-1,-1,843050,-1,561824,232600,-1,621771,922577,-1,-1,925260,524886,-1,-1,538189,378190,-1,427377,605117,26750,-1,-1,107381,695338,-1,294950,-1,-1,207737,671724,438811,473818,-1,764615,966782,-1,-1,-1,519168,-1,899996,90816,377145,595616,-1,-1,520084,-1,-1,-1,-1,767368,-1,584586,-1,812581,912215,-1,74978,-1,9007,460516,-1,-1,804677,-1,-1,481680,-1,-1,789809,-1,697391,-1,-1,-1,296371,-1,570725,-1,-1,116204,780970,-1,-1,992502,-1,-1,719636,-1,-1,996029,860272,-1,52130,-1,61529,-1,-1,858082,-1,-1,-1,184335,-1,-1,433409,302850,148720,305097,-1,-1,25627,483646,-1,-1,-1,-1,-1,979527,90168,-1,-1,-1,590716,931990,-1,-1,773598,602164,-1,-1,-1,-1,899939,619676,187264,-1,522413,5526,-1,293586,565592,67055,-1,734315,535835,18964,392828,265762,-1,983914,-1,-1,-1,-1,586620,-1,-1,-1,-1,37137,-1,815955,414407,174806,-1,-1,-1,-1,-1,-1,-1,-1,868730,986700,804859,-1,775368,573662,-1,-1,-1,-1,-1,756057,848056,281040,-1,-1,293133,608620,-1,498368,774848,-1,963357,102133,982237,-1,237799,717414,665636,-1,851793,-1,-1,-1,-1,-1,829628,533283,787252,700236,-1,-1,65062,249456,-1,-1,-1,884365,-1,-1,-1,-1,790580,-1,557728,-1,41127,967578,83050,407870,-1,-1,523792,427253,80032,-1,-1,920171,-1,-1,-1,162657,-1,-1,-1,-1,820848,-1,-1,-1,748782,554885,-1,239335,201367,762137,-1,-1,-1,-1,211572,820734,-1,-1,-1,-1,153312,-1,-1,-1,-1,10060,-1,899528,564492,200733,-1,-1,-1,-1,-1,328528,25144,-1,-1,-1,404044,-1,-1,348883,523692,793249,-1,-1,66404,-1,694081,713704,-1,144589,349794,-1,-1,-1,841121,-1,-1,751560,150071,-1,963228,48838,-1,-1,-1,174377,-1,-1,-1,-1,-1,872533,280658,101888,-1,-1,-1,318197,434325,949267,-1,657146,375130,-1,635248,-1,411244,592012,-1,-1,221364,-1,770714,336746,-1,237345,-1,-1,-1,-1,-1,-1,-1,-1,892043,-1,553924,551437,793061,395048,-1,-1,266569,491367,-1,-1,605766,758647,-1,665457,-1,156160,-1,-1,117573,582984,698635,-1,762636,632771,-1,171626,-1,-1,-1,-1,-1,106969,437706,553613,-1,387391,-1,460358,163827,-1,533464,9508,692787,-1,977553,-1,81370,28081,-1,94180,-1,573394,-1,366425,169148,503109,-1,-1,739901,594484,678765,-1,-1,-1,-1,-1,323493,-1,-1,48667,-1,-1,691438,273149,104655,317714,-1,-1,637195,-1,-1,-1,-1,-1,-1,454066,230090,112659,800026,-1,-1,-1,-1,244125,721038,-1,639122,605878,695600,320301,-1,528235,172707,532124,-1,881128,506472,-1,429174,-1,-1,-1,930308,154113,540914,-1,517306,-1,-1,-1,996861,354612,-1,-1,941821,618252,-1,929744,998093,-1,-1,-1,841287,-1,-1,959239,308854,959324,4701,-1,-1,928623,-1,-1,-1,638245,567150,515997,-1,-1,417059,-1,788148,172617,-1,155257,-1,-1,-1,428853,-1,-1,848615,-1,-1,293254,-1,782406,-1,347997,-1,-1,226928,-1,-1,280475,-1,-1,-1,222051,-1,-1,159845,-1,317777,171193,369888,-1,-1,-1,655125,-1,284079,179346,881321,-1,404478,697574,353875,-1,-1,629334,-1,774829,98368,-1,-1,-1,-1,921265,240713,-1,-1,478365,222293,838856,-1,-1,198452,-1,397336,-1,489422,159172,354697,-1,-1,56042,860084,70519,601095,-1,236332,893137,-1,-1,184743,-1,757251,-1,459677,318999,-1,-1,-1,-1,-1,-1,-1,-1,-1,142952,-1,541134,-1,901220,-1,788763,-1,971334,-1,-1,734252,-1,920744,38391,317127,-1,-1,-1,-1,250005,-1,709291,248052,296606,269606,486655,414908,872172,-1,704889,176594,856865,155757,-1,398949,-1,-1,-1,-1,889064,-1,535371,983643,122558,238274,-1,100058,18253,-1,851611,-1,694520,-1,148840,553790,810660,-1,-1,273715,-1,776474,30334,-1,-1,-1,474425,-1,-1,214725,-1,-1,-1,-1,108308,964677,303287,-1,967096,-1,-1,305234,211834,-1,884788,-1,-1,-1,996129,-1,874806,686151,-1,519119,640766,-1,395622,-1,-1,-1,-1,266869,-1,84406,-1,-1,425392,666351,56303,150180,91460,-1,548621,981561,812170,979263,44900,405092,-1,132334,855192,31892,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,299065,-1,-1,-1,-1,913226,-1,722345,-1,581526,278915,-1,-1,93515,182741,-1,292337,22120,456299,-1,-1,-1,-1,-1,744821,-1,770988,308777,982367,-1,-1,-1,-1,-1,208792,-1,-1,87104,-1,-1,138306,224950,936208,925080,-1,-1,-1,-1,-1,-1,-1,-1,152438,92383,-1,-1,-1,-1,928943,544204,-1,-1,613100,-1,141450,738066,-1,-1,375273,153066,-1,-1,-1,628498,-1,932416,-1,496937,-1,-1,564201,219560,826378,951227,831453,708890,157383,685712,-1,839575,181615,-1,-1,-1,-1,-1,713317,-1,-1,-1,-1,-1,40209,797150,-1,950706,764250,-1,-1,873896,-1,-1,-1,-1,-1,-1,-1,-1,-1,80578,-1,552120,-1,-1,-1,-1,854252,-1,-1,-1,759198,824432,823374,-1,-1,-1,-1,147773,-1,371750,801484,570811,630580,846271,-1,-1,-1,935211,509854,892243,64504,756890,318981,230696,-1,-1,-1,-1,-1,560591,853938,-1,961943,-1,298644,473819,20073,306422,-1,935426,-1,482453,-1,-1,-1,648560,389077,-1,577508,923712,-1,929207,328971,-1,-1,-1,991800,-1,907500,667463,549357,404662,-1,-1,-1,372530,34068,982850,-1,-1,817994,-1,-1,-1,584912,-1,-1,-1,-1,822417,89800,482302,-1,135853,794396,890624,383813,232175,-1,-1,452967,797209,840053,677848,-1,634434,353951,827934,241079,269210,-1,749578,-1,-1,758450,-1,969960,-1,-1,-1,8360,828846,542641,-1,345158,-1,-1,-1,524956,-1,849655,726874,-1,724056,-1,932049,-1,-1,-1,-1,976556,515002,-1,376027,136895,-1,-1,-1,413196,463839,548195,-1,64732,76205,-1,794663,-1,273313,-1,-1,454218,-1,-1,936909,861713,170975,166020,-1,-1,-1,14614,-1,-1,-1,760614,-1,344989,960054,568705,-1,360310,66878,915657,306773,326530,-1,939114,306707,614012,33539,113618,-1,-1,850358,916378,-1,-1,-1,-1,-1,-1,257357,711586,-1,270888,897379,-1,278896,464230,784307,871533,279731,-1,-1,658251,59579,-1,-1,198825,-1,696288,792453,-1,151802,-1,538784,629002,-1,451330,-1,372,487357,-1,-1,-1,-1,-1,-1,380596,-1,193595,-1,-1,-1,624111,-1,463907,392992,-1,49279,167972,332489,603066,-1,-1,290560,-1,-1,-1,-1,-1,406408,-1,498181,-1,-1,488856,476924,30096,861506,-1,-1,31684,157857,73738,-1,597707,580861,581901,-1,315457,-1,302808,643677,237210,647425,-1,-1,694759,190848,-1,813007,-1,-1,540785,429768,998351,-1,-1,-1,987430,-1,889573,-1,-1,94236,-1,627321,218699,536794,46368,745315,785555,641961,-1,-1,-1,-1,-1,351733,-1,-1,467552,753924,-1,-1,-1,179224,453584,470477,55268,-1,-1,705506,294621,-1,887639,-1,-1,-1,313967,-1,-1,-1,-1,-1,-1,521755,7977,-1,-1,727430,921197,-1,-1,-1,-1,-1,552110,328058,165537,-1,87613,-1,-1,-1,-1,-1,-1,-1,492647,-1,-1,658048,-1,-1,285615,104943,822881,-1,-1,801724,-1,988630,564464,455762,766206,-1,-1,-1,645333,35291,-1,-1,220101,605383,-1,-1,-1,-1,-1,192494,-1,-1,-1,-1,-1,-1,138752,-1,-1,-1,675992,731350,-1,570360,720793,-1,284379,-1,-1,-1,644644,41349,-1,686022,-1,928278,26405,-1,-1,-1,675002,68252,413802,592632,-1,-1,-1,-1,813434,-1,-1,403882,-1,-1,-1,-1,-1,46997,-1,-1,656682,340274,651690,991835,903007,702772,-1,-1,-1,-1,-1,222977,621037,-1,868558,492947,-1,16248,-1,-1,-1,980637,203432,24767,-1,627367,-1,-1,625175,71097,-1,-1,-1,-1,910093,445895,779176,-1,-1,-1,-1,759393,477146,413320,863107,-1,-1,-1,-1,199880,-1,-1,262491,-1,-1,-1,-1,-1,-1,116772,-1,-1,-1,-1,-1,-1,-1,-1,-1,319147,-1,361699,497918,-1,-1,474675,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,458539,515177,790341,-1,989380,452005,132211,471551,310115,241358,767159,-1,-1,84443,-1,-1,98156,-1,646709,-1,-1,-1,-1,408460,-1,-1,274670,-1,-1,666065,-1,-1,-1,656433,-1,-1,-1,285702,-1,-1,512970,-1,-1,-1,705919,-1,-1,-1,-1,39590,969924,-1,26214,-1,736538,897279,765585,-1,724560,588737,729110,978434,-1,-1,-1,-1,-1,566067,-1,-1,871860,-1,-1,145251,-1,94265,-1,981894,-1,-1,358412,791349,69962,-1,-1,86488,-1,-1,580016,652343,209711,-1,-1,-1,903620,970574,-1,-1,383455,-1,809546,871457,-1,-1,421040,-1,-1,515184,288666,187466,888346,360990,-1,773680,-1,960733,364589,-1,68201,-1,537099,-1,-1,57130,274288,16770,-1,-1,676993,168729,481630,-1,412134,-1,255141,-1,799878,851882,-1,-1,-1,849216,-1,-1,-1,969292,-1,-1,438720,-1,-1,-1,238669,-1,87780,-1,-1,-1,376089,-1,841320,-1,488928,-1,-1,-1,-1,-1,-1,-1,-1,402794,736789,-1,-1,651120,79073,-1,123277,877056,-1,-1,-1,-1,649168,221872,269068,507274,-1,255408,-1,-1,-1,530097,-1,197801,966959,-1,904570,233940,-1,748257,652259,561972,295610,953056,-1,429433,743978,859111,98784,420793,326604,571369,-1,73907,-1,60257,-1,559447,-1,-1,169831,930206,-1,-1,670142,939313,445410,-1,-1,-1,-1,231939,813730,645273,451773,17903,-1,-1,233321,-1,99353,-1,-1,74140,-1,892602,-1,487613,-1,-1,228750,-1,-1,-1,-1,-1,-1,381273,168397,724086,977106,823596,374781,291150,-1,-1,348154,-1,891842,659724,-1,-1,-1,-1,-1,-1,32883,191672,250457,-1,-1,249562,834303,891022,-1,-1,-1,638853,901492,15366,-1,735114,-1,-1,876341,-1,-1,-1,-1,-1,746933,603188,-1,54993,488737,889380,-1,-1,-1,-1,423307,778352,534575,-1,-1,-1,214409,-1,-1,-1,87926,-1,645512,-1,-1,-1,345678,-1,-1,152091,-1,268092,-1,-1,487805,-1,-1,986504,-1,-1,411031,633189,415372,898364,21206,-1,317847,-1,329816,-1,-1,-1,-1,-1,457498,-1,167027,-1,704130,617840,-1,-1,634164,-1,430093,517811,-1,544595,-1,155313,-1,231267,305267,-1,360352,-1,684010,412199,-1,997532,-1,75426,-1,297027,-1,-1,-1,98149,-1,452044,-1,537510,-1,-1,811279,230778,-1,152559,886609,640872,192450,749274,-1,-1,112931,964986,665308,-1,654185,104541,958891,862656,417017,689561,-1,171676,-1,27206,-1,-1,-1,-1,712710,778794,-1,964997,-1,943975,-1,-1,423103,52569,-1,-1,486498,-1,-1,-1,-1,573092,-1,-1,-1,502210,-1,-1,-1,605466,-1,670445,-1,-1,324881,535217,941657,-1,-1,990666,347767,-1,433728,-1,798820,-1,285038,56584,418898,236802,760111,425184,-1,-1,396799,-1,-1,-1,281168,-1,-1,-1,-1,85146,-1,280579,209099,951378,-1,770925,-1,-1,202067,-1,-1,162989,-1,191167,217013,52523,603915,750076,-1,-1,-1,-1,-1,654588,127365,113301,868416,412915,-1,-1,-1,597878,-1,-1,601100,-1,-1,784114,-1,-1,891686,15127,712345,867205,-1,74154,-1,-1,552296,-1,-1,427406,5648,-1,-1,-1,-1,-1,148623,-1,-1,-1,560263,-1,-1,-1,872815,965763,-1,-1,-1,-1,-1,797803,345805,-1,773116,-1,650233,-1,-1,708426,-1,-1,655424,223375,814079,592878,248856,-1,924022,461250,687703,800003,-1,632454,-1,17217,630367,668686,212492,56373,-1,-1,-1,-1,-1,213878,-1,-1,-1,-1,511469,-1,174820,449473,-1,-1,229541,650140,250467,45277,686686,757264,442012,-1,-1,-1,208976,-1,16494,950671,-1,-1,-1,578173,-1,-1,-1,-1,-1,-1,109724,-1,45889,621810,-1,-1,-1,233985,-1,312520,-1,-1,-1,655940,-1,-1,-1,-1,-1,876248,-1,-1,-1,464770,171573,-1,938572,156419,-1,-1,-1,-1,-1,-1,-1,233044,-1,-1,-1,-1,-1,338266,443928,57911,245096,445612,-1,697863,-1,-1,94850,611967,24409,767266,172427,-1,-1,-1,-1,165417,-1,-1,-1,968468,796473,-1,685218,-1,-1,402751,-1,555576,754816,113762,-1,-1,720434,470198,-1,172753,421688,672482,-1,-1,-1,-1,772656,638826,-1,-1,488822,-1,-1,-1,885644,503251,-1,-1,-1,-1,434479,-1,235492,458823,-1,998721,-1,-1,-1,-1,-1,-1,-1,37011,313876,-1,756044,-1,907469,-1,586391,-1,933872,-1,-1,-1,-1,-1,-1,506508,-1,-1,957858,309651,375283,-1,655008,825332,-1,178680,-1,197051,202253,845023,-1,-1,915498,-1,-1,576534,-1,586442,-1,-1,-1,489981,985381,-1,-1,123451,-1,567569,666196,-1,316330,197472,165651,-1,608675,-1,935082,208880,665286,173855,57849,-1,233024,-1,817991,889356,340175,735958,-1,316555,-1,-1,-1,687257,-1,530110,581152,144760,-1,585685,763237,-1,-1,-1,820806,134649,936497,114288,188963,383687,-1,-1,22481,-1,-1,471091,-1,474367,-1,181252,-1,998464,967392,-1,66536,-1,776902,157018,-1,801245,-1,-1,-1,661069,893586,-1,816539,790592,-1,344663,-1,-1,-1,77390,974482,-1,501166,-1,-1,-1,84328,-1,-1,-1,-1,937691,-1,-1,267605,-1,-1,583152,-1,-1,525767,995701,622111,-1,571605,597867,639794,422980,823170,487219,633115,-1,-1,-1,229577,-1,593757,261231,-1,474477,447997,-1,520312,38444,24746,-1,164208,-1,167195,723528,621233,276631,873387,21172,781015,-1,-1,-1,-1,-1,266721,102312,867084,-1,-1,440561,796394,994887,416421,732137,-1,283299,774488,60470,-1,412398,-1,-1,-1,350318,631229,-1,568899,-1,698354,264798,829614,-1,399559,685205,806332,-1,-1,259158,-1,-1,130038,793543,-1,67258,-1,-1,874941,312016,927794,158913,665206,-1,237685,554631,-1,-1,970502,-1,881099,-1,417115,896701,660592,903945,953520,-1,-1,-1,875511,293965,910361,-1,965474,-1,-1,-1,171418,-1,54786,-1,516722,730906,-1,608764,-1,41996,558096,609644,340897,-1,661467,-1,-1,-1,531626,144351,-1,-1,575564,-1,-1,-1,-1,431115,-1,-1,-1,-1,840655,-1,931524,209735,750893,254281,-1,993023,-1,756165,980187,113561,-1,931465,266538,-1,160529,919578,475652,-1,578666,845061,261139,770294,-1,863594,-1,198780,-1,-1,-1,255622,685178,671445,-1,13892,-1,-1,864604,905138,193412,-1,-1,-1,421525,-1,74040,-1,875206,-1,204194,473013,-1,795354,537943,898106,-1,508427,-1,105813,-1,778937,-1,-1,635815,-1,879743,343157,-1,-1,787436,-1,-1,13747,-1,583065,-1,489073,-1,257360,-1,-1,-1,689058,104569,492515,243277,53341,356565,701188,113524,-1,299073,-1,-1,778449,-1,289980,971238,-1,-1,-1,-1,885107,-1,-1,283641,-1,429077,-1,-1,-1,682382,-1,195107,-1,-1,-1,870806,-1,-1,377000,47031,-1,-1,-1,677342,-1,420032,-1,248058,86647,-1,865856,-1,-1,801847,-1,-1,-1,-1,-1,371740,608106,-1,632910,-1,700099,164702,460610,-1,-1,-1,396944,-1,205072,73949,318387,665823,-1,-1,-1,785535,840467,474283,-1,724350,-1,168208,-1,-1,-1,-1,674936,-1,-1,997975,-1,792101,893698,495055,-1,103125,-1,915407,-1,149600,317919,-1,301967,101882,521504,287591,-1,-1,191062,-1,-1,916574,-1,-1,797502,625714,122263,-1,182556,595627,499135,-1,-1,-1,646821,279967,174643,-1,-1,-1,-1,558141,-1,630438,989616,-1,-1,-1,152435,473614,436228,984912,255880,-1,946456,-1,-1,-1,-1,481403,917029,302269,-1,-1,-1,-1,-1,-1,110339,496497,-1,556485,617716,327721,889246,289873,-1,-1,-1,240339,-1,-1,-1,-1,-1,225784,-1,820207,-1,854254,198928,-1,155928,-1,464528,841656,217055,411076,-1,768797,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,824069,-1,837911,-1,-1,462226,54448,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,280549,-1,-1,395950,-1,-1,-1,-1,-1,-1,953208,-1,-1,-1,206727,-1,-1,874379,-1,-1,93772,-1,103607,-1,250502,-1,-1,-1,624365,-1,865882,114792,611458,805192,522354,-1,-1,599776,-1,921429,-1,-1,-1,-1,-1,447787,-1,-1,-1,-1,628144,109782,-1,82177,-1,-1,659529,492404,962952,-1,508817,389969,-1,408395,-1,187977,766495,-1,675072,372960,950890,346887,446369,-1,-1,526283,-1,768641,-1,338328,-1,425761,-1,-1,-1,977016,910734,756231,847871,-1,-1,218163,-1,-1,145495,-1,77358,-1,-1,691940,-1,622776,169839,-1,639443,-1,555153,678239,-1,909269,800095,182492,679385,330612,-1,889758,-1,231161,712167,434973,-1,-1,-1,726561,272946,-1,-1,-1,-1,-1,-1,-1,115093,-1,-1,-1,161497,988368,50375,387341,-1,-1,-1,-1,87032,-1,299610,75411,165992,71989,-1,15329,180709,963565,-1,-1,958682,-1,-1,33433,67016,-1,658514,114800,-1,-1,-1,8901,148461,-1,-1,-1,-1,593427,575920,-1,208883,364265,-1,-1,989867,321960,343137,-1,84027,-1,-1,-1,-1,-1,-1,-1,-1,784238,673846,-1,674360,290046,-1,491762,563351,-1,-1,-1,142221,906649,-1,-1,-1,58463,418306,-1,115913,108048,896502,-1,-1,-1,140156,601350,-1,274749,33452,-1,325457,780300,-1,250970,-1,-1,683515,-1,-1,442309,-1,-1,308189,-1,495529,-1,482081,545835,-1,229650,-1,-1,442679,-1,306492,680775,617454,-1,-1,-1,436711,-1,-1,717329,800978,-1,-1,-1,196042,-1,-1,-1,-1,389028,-1,-1,-1,-1,-1,509631,535574,790671,282197,-1,-1,896131,-1,-1,-1,-1,26702,-1,-1,-1,-1,-1,-1,782071,-1,476654,689168,560458,-1,-1,-1,-1,994009,-1,876637,-1,-1,-1,51804,-1,100878,-1,410639,-1,-1,946729,-1,-1,284543,-1,836010,929707,234735,-1,712364,-1,-1,709935,-1,804105,994779,-1,-1,789371,854349,-1,961042,369310,-1,579308,25260,-1,698310,-1,-1,-1,361116,111258,997104,720346,-1,967152,765919,-1,-1,292474,-1,-1,-1,-1,-1,-1,493797,-1,-1,541259,-1,883217,551242,-1,-1,634090,874129,-1,356939,-1,-1,918250,-1,642736,883622,687007,-1,-1,-1,-1,821359,-1,719695,594700,460380,-1,-1,116477,465996,777156,967297,-1,-1,-1,242039,830220,-1,83124,-1,-1,174378,69210,-1,-1,-1,839347,-1,478391,-1,148822,54582,668438,-1,-1,159602,334733,153988,708300,82506,389865,-1,675632,-1,-1,72526,593334,827698,169128,79176,705137,659007,-1,970143,303660,289328,122861,-1,968710,-1,512052,361016,-1,894729,-1,256848,398134,452107,244014,953868,626909,351760,830277,-1,-1,-1,-1,-1,-1,370584,-1,-1,378516,285741,-1,487536,-1,544493,-1,866016,-1,-1,12234,-1,218474,-1,709074,-1,725806,445405,375370,-1,180912,-1,562084,671608,-1,351584,-1,-1,882455,968448,-1,-1,-1,947633,276771,857869,821209,-1,-1,335485,-1,-1,558916,-1,-1,-1,379331,-1,-1,-1,188327,-1,-1,96801,-1,554497,739680,136063,-1,394992,-1,739191,-1,642452,-1,185255,-1,-1,-1,107306,-1,731345,406195,694326,-1,-1,724351,-1,-1,-1,-1,487060,377394,-1,472908,693259,461865,805119,-1,758509,-1,862735,-1,676949,94029,79544,-1,-1,-1,355411,-1,-1,-1,-1,-1,888138,855335,454568,-1,-1,-1,241761,-1,840611,175329,-1,854949,-1,742753,728236,396926,571971,-1,-1,63608,-1,-1,350595,938918,-1,-1,-1,162739,-1,8139,-1,539035,-1,-1,445031,562044,-1,621714,895618,678987,-1,-1,-1,542672,936214,-1,264261,110113,327017,895246,154267,694510,-1,816168,-1,-1,-1,759107,684033,-1,-1,-1,-1,-1,-1,774924,-1,599801,584751,867553,364162,907008,182997,515864,502844,-1,844415,-1,527665,913499,133470,-1,80571,-1,-1,202846,852897,-1,38022,-1,-1,-1,206674,537938,823141,-1,-1,819198,-1,707226,116323,-1,-1,-1,-1,846048,151059,-1,-1,-1,87272,166256,134956,-1,411904,-1,449235,-1,-1,133734,907245,-1,110851,359556,-1,-1,14917,327229,444053,-1,930340,-1,-1,244714,684524,-1,209408,369566,-1,-1,-1,-1,145242,892895,712004,-1,-1,-1,335417,411814,446160,-1,988953,373103,147284,-1,-1,448579,385940,-1,90613,315449,933942,694684,-1,-1,643272,178632,-1,-1,917431,738324,-1,-1,17611,-1,-1,922357,444960,-1,-1,281688,-1,684984,717116,-1,522141,916846,143158,-1,-1,-1,20043,134111,284180,-1,175279,-1,-1,-1,-1,453175,-1,-1,651964,-1,578612,-1,284894,919905,-1,-1,109302,264872,363752,-1,38465,956602,297581,-1,-1,662215,615854,487498,-1,-1,170091,575319,-1,-1,-1,-1,-1,-1,-1,808552,-1,-1,147033,758299,753835,-1,13263,-1,-1,2107,-1,-1,545234,-1,851158,20205,-1,-1,-1,-1,675026,628124,-1,-1,270021,190777,492856,-1,328000,-1,27151,94999,-1,-1,531286,-1,606013,-1,-1,540592,278017,167670,-1,833902,443528,-1,446432,856534,782311,-1,-1,714564,575921,-1,-1,817233,163389,431931,-1,-1,-1,888615,-1,-1,565989,20668,-1,278007,709101,-1,-1,211622,-1,-1,65932,691507,-1,351234,-1,-1,-1,-1,393052,-1,-1,475385,852519,492204,-1,-1,-1,-1,871623,-1,903649,-1,480775,-1,872162,-1,525475,274993,-1,65197,-1,-1,-1,445402,604913,855902,437983,-1,883366,-1,931506,-1,58562,449463,437682,255965,-1,327066,603864,860838,-1,642106,362640,511344,-1,408767,242574,-1,637428,284178,856735,782411,136536,-1,55340,-1,-1,986695,-1,-1,243318,-1,61576,-1,-1,894874,203231,166910,-1,518709,-1,749884,767319,-1,-1,352601,72551,-1,-1,-1,529077,-1,-1,616786,596029,-1,110012,-1,-1,-1,-1,-1,737607,-1,-1,-1,354603,665684,-1,-1,-1,799027,-1,-1,-1,502631,950024,-1,94123,-1,-1,-1,557219,471325,26615,12366,734020,183369,722831,-1,972433,721039,609339,-1,226805,-1,-1,155902,14884,-1,830687,-1,-1,46263,513872,-1,237819,-1,821587,-1,-1,796136,-1,332286,160511,-1,-1,691420,31355,-1,421879,-1,-1,-1,82944,-1,-1,239909,-1,69400,673279,448374,-1,806155,786855,-1,848777,586554,368911,-1,696530,-1,92305,229654,263425,358555,632638,388636,175249,-1,-1,745844,347967,-1,775192,-1,-1,-1,693504,-1,-1,128467,-1,597175,-1,-1,-1,439555,232334,-1,-1,-1,488916,417950,-1,-1,-1,-1,648393,466676,282497,923299,397820,588400,-1,-1,-1,592903,995601,-1,180710,-1,724296,869045,-1,467662,-1,633746,245139,-1,-1,381583,-1,-1,-1,-1,-1,-1,-1,-1,888087,-1,-1,238814,455130,-1,-1,822390,-1,-1,-1,178372,2636,-1,992571,-1,288259,990096,-1,70192,731127,904123,303354,-1,790208,-1,-1,193700,642898,-1,-1,303401,992638,-1,-1,-1,128515,-1,-1,-1,-1,-1,-1,612099,-1,-1,575313,-1,851339,758641,-1,722798,696269,-1,770795,116719,547863,-1,789070,-1,-1,-1,144017,812427,-1,483107,-1,-1,462767,754690,-1,-1,962821,420227,-1,246656,-1,-1,555096,581210,540433,304332,-1,-1,-1,-1,-1,569298,-1,-1,60856,543613,-1,816446,-1,-1,383417,398647,968140,-1,-1,-1,-1,-1,-1,-1,168171,-1,-1,321377,405462,-1,887287,947619,392983,472887,856029,-1,-1,969515,924067,-1,-1,792360,872544,938525,874121,740520,916455,-1,305242,240440,922729,127267,-1,-1,-1,-1,756458,-1,437613,-1,-1,953709,-1,555560,158267,21695,202224,-1,153714,-1,22746,-1,-1,676820,800505,-1,790435,181752,-1,-1,260263,640979,-1,-1,719307,-1,61244,-1,53288,-1,739762,-1,708922,697845,-1,165738,-1,-1,324908,282117,755919,197041,-1,-1,773294,-1,477924,-1,468491,-1,437587,-1,141278,777992,528329,188088,-1,-1,771243,-1,-1,-1,206978,-1,232348,-1,405486,-1,-1,-1,-1,-1,-1,857245,444518,955707,558152,-1,804307,-1,48120,-1,161106,880631,281962,-1,-1,-1,392913,-1,484901,679465,987623,-1,240709,-1,580160,-1,-1,-1,-1,-1,607616,-1,620296,345542,-1,851027,692911,634528,-1,-1,-1,-1,-1,-1,-1,356354,846036,178577,-1,991877,935127,667671,-1,621028,-1,9811,-1,-1,-1,-1,-1,186209,-1,301857,497777,236906,789878,-1,-1,-1,-1,130333,-1,462882,-1,-1,756318,-1,-1,-1,333934,-1,-1,205110,672393,-1,-1,636533,819973,929110,-1,-1,-1,232107,804539,-1,-1,25705,922075,-1,-1,337325,-1,-1,417650,-1,-1,407184,-1,-1,-1,-1,-1,-1,-1,-1,-1,142247,-1,749499,-1,498177,-1,-1,585964,266679,686664,481545,-1,255754,480804,337149,547462,285673,399952,-1,-1,-1,-1,-1,677036,-1,524794,-1,548907,937100,-1,243142,-1,-1,-1,111796,-1,882756,-1,-1,-1,121480,908975,-1,-1,188182,-1,787885,981404,744611,532674,-1,375909,61375,-1,-1,-1,453499,-1,900406,503646,794468,264795,718675,689616,476691,-1,98532,-1,993139,978879,-1,739465,-1,-1,714682,-1,-1,118606,-1,-1,-1,497524,83903,356964,-1,209590,-1,283702,-1,-1,280116,767418,-1,-1,-1,240171,21609,122191,453349,-1,240921,-1,-1,-1,671633,918180,337551,-1,-1,-1,-1,841260,-1,704956,829671,629694,751662,-1,592107,173243,-1,-1,-1,-1,-1,113377,-1,357568,450935,-1,-1,-1,-1,737883,596139,547564,-1,-1,976948,128995,806092,-1,62974,-1,623732,-1,-1,-1,63418,-1,-1,908274,-1,-1,526155,-1,-1,-1,-1,133928,163501,-1,-1,291513,709562,-1,687152,-1,-1,-1,-1,-1,11411,-1,48553,-1,-1,-1,716261,281105,234977,626561,131301,-1,-1,-1,-1,459084,-1,-1,-1,-1,-1,-1,302727,576213,832646,-1,868650,-1,-1,-1,730805,675401,-1,-1,688180,-1,-1,-1,-1,-1,23259,-1,-1,22147,-1,442327,-1,41468,-1,228770,457444,-1,-1,534998,807586,786557,-1,-1,-1,-1,-1,-1,620798,69823,-1,-1,-1,-1,11537,853472,-1,-1,-1,845188,-1,487152,609718,461330,-1,-1,676852,481437,46078,195841,-1,-1,-1,960575,615764,-1,179259,-1,-1,519352,688776,251341,-1,870787,-1,682058,866822,-1,695885,-1,-1,654999,-1,-1,-1,-1,672391,754339,-1,953317,-1,653797,-1,412173,-1,-1,-1,820077,-1,468129,-1,878006,964289,-1,410485,-1,-1,678142,-1,-1,315135,391346,-1,931887,746538,-1,-1,549930,-1,-1,-1,-1,-1,-1,880375,585468,175197,255709,110226,30114,524772,93970,-1,-1,-1,-1,-1,470189,-1,-1,-1,788421,32887,80609,-1,9152,-1,500054,893978,-1,687170,963404,911010,-1,138382,-1,673241,-1,-1,-1,-1,204470,-1,-1,380225,715174,866042,783444,-1,161668,-1,338428,-1,-1,586333,-1,220695,-1,745582,-1,-1,-1,415057,-1,-1,442035,-1,-1,-1,896136,-1,447331,26470,749307,607900,44182,-1,694210,738413,-1,341032,335882,-1,-1,-1,427840,124250,544973,-1,793999,395633,801282,-1,677222,-1,-1,-1,367007,-1,-1,-1,93623,139814,-1,-1,501646,223581,668813,-1,671770,-1,907300,-1,779670,512318,578374,290650,-1,948985,-1,-1,-1,177086,-1,683662,-1,-1,253594,218960,-1,-1,89685,-1,-1,-1,-1,659580,336821,265403,-1,808182,-1,-1,598003,113657,837184,-1,-1,-1,515206,486651,298195,-1,590669,-1,237935,273124,-1,419877,-1,-1,581268,-1,-1,264606,200754,-1,-1,-1,86297,69432,241790,-1,-1,876992,828188,933679,485349,-1,-1,978053,136291,209051,837424,756406,-1,-1,773426,-1,371845,634319,346222,279721,-1,-1,939408,-1,-1,-1,-1,-1,635216,-1,-1,980126,-1,122159,-1,-1,144816,-1,262858,-1,961058,-1,-1,915588,280295,-1,-1,577496,-1,221712,666809,465184,-1,-1,55946,140999,-1,-1,549150,666214,405128,832649,-1,-1,61631,-1,-1,34500,320793,-1,-1,-1,-1,511833,643442,-1,-1,4890,753385,-1,-1,-1,-1,528164,-1,93870,-1,-1,301557,740923,-1,978228,804069,679182,-1,-1,709579,564301,-1,-1,324510,-1,-1,-1,5345,-1,75364,944326,-1,295629,-1,378810,-1,-1,-1,536000,-1,373467,-1,526112,-1,-1,212505,-1,377680,-1,457931,167769,-1,531550,685249,-1,370372,72318,-1,480925,378187,-1,-1,31498,930328,-1,662406,217654,473722,526135,482007,-1,-1,752988,-1,631536,-1,-1,36533,-1,-1,885019,-1,796167,-1,901366,-1,-1,348458,121690,572426,-1,-1,714436,130456,279970,493286,73541,-1,-1,-1,-1,370138,684360,551449,-1,-1,-1,558435,482878,-1,211586,814753,156117,-1,395348,-1,-1,-1,-1,295886,-1,161631,-1,894516,-1,368738,-1,-1,-1,-1,-1,723218,600876,-1,992294,414631,-1,589464,-1,447756,687523,-1,479043,942557,-1,36213,-1,606693,-1,598699,-1,738695,-1,198235,740206,292436,-1,-1,302311,171470,885650,928086,840005,-1,915634,-1,-1,-1,992608,-1,348307,-1,502917,-1,-1,-1,585579,933451,668703,941142,-1,425239,-1,175353,705748,393277,-1,-1,605329,-1,-1,997467,269000,-1,887895,-1,-1,-1,189257,675293,925289,669143,215065,-1,-1,175362,-1,159849,929890,-1,-1,307838,-1,940255,291583,-1,-1,817927,-1,-1,435059,321542,162018,-1,-1,125156,-1,-1,-1,318495,163493,-1,-1,-1,-1,253721,-1,481285,747295,262748,-1,992159,-1,260980,801999,958061,-1,-1,-1,-1,-1,-1,-1,-1,529840,456862,859474,587681,639669,-1,-1,-1,-1,-1,-1,-1,943259,-1,891665,569372,966473,-1,950359,788704,372759,-1,730432,-1,-1,-1,244634,-1,757247,-1,-1,-1,-1,-1,-1,997155,895782,-1,333750,344589,38538,-1,918546,736664,296218,163292,-1,383159,149168,519852,408008,-1,841652,86356,129238,400928,-1,530936,809845,-1,916091,254609,-1,442024,-1,-1,395602,774136,-1,742798,-1,328611,-1,494049,-1,-1,456267,-1,887717,112409,282616,401428,959250,81762,209588,-1,936949,-1,649005,104881,671368,-1,802332,858862,230083,418422,-1,983708,-1,-1,20209,915010,95853,-1,-1,-1,887470,518327,-1,-1,794629,-1,-1,188526,699566,-1,61286,153267,-1,-1,-1,342998,-1,-1,-1,754524,867212,694793,429374,-1,624165,-1,-1,490389,-1,-1,-1,953330,956722,303875,-1,212916,-1,658553,947300,-1,-1,404188,-1,599613,991897,-1,974123,-1,910634,692985,189790,-1,863400,921303,-1,-1,-1,200164,755421,436616,-1,237606,602623,-1,744355,140685,4866,-1,298307,-1,365766,-1,992272,258401,646616,510549,742161,-1,832121,-1,-1,944857,521569,769833,-1,-1,-1,-1,-1,101257,606153,716826,152119,544546,-1,14727,-1,-1,868825,516993,-1,395629,-1,47065,-1,-1,-1,-1,763504,571572,-1,118380,243504,336969,-1,-1,399257,-1,245326,-1,710987,727371,121751,-1,39011,228703,-1,800790,-1,522242,87944,700101,249220,87508,679591,-1,886883,-1,571835,759763,440117,-1,378885,726170,542169,729847,713318,-1,407587,-1,-1,242483,849783,35457,352410,74756,203069,-1,-1,732782,-1,-1,502184,819728,899293,-1,963680,386215,-1,-1,-1,-1,338886,941351,-1,487861,-1,-1,199272,679328,288393,-1,-1,955611,-1,-1,-1,961505,-1,211085,689856,-1,487951,708797,-1,424540,964062,693601,-1,-1,522391,-1,378143,406594,-1,223391,464020,-1,-1,774072,6488,860528,812926,522701,-1,189874,-1,-1,684297,647121,498501,-1,-1,454767,-1,-1,-1,-1,-1,-1,234781,864086,192691,-1,-1,-1,-1,-1,-1,167767,-1,-1,-1,-1,624184,237371,-1,-1,-1,-1,-1,-1,817048,-1,-1,-1,900765,-1,92537,-1,-1,970297,164151,-1,-1,279637,-1,-1,-1,437385,-1,-1,747045,-1,-1,517342,296518,956727,429337,-1,349765,513103,-1,-1,-1,-1,673619,-1,-1,-1,-1,-1,884292,-1,-1,-1,772785,-1,151973,-1,846180,544698,-1,842442,-1,577510,-1,485950,406875,784627,405026,671566,540503,705428,991332,-1,666621,924052,485270,-1,-1,409316,-1,862582,943685,-1,443831,870870,-1,322629,303374,-1,88165,149714,-1,912246,174929,-1,807214,-1,-1,6944,-1,832279,924322,818054,-1,512418,737698,149429,982838,-1,536564,992575,670284,-1,406514,-1,-1,839651,659100,429217,-1,447432,-1,61906,-1,227583,116274,576674,105394,-1,-1,-1,473384,-1,-1,-1,-1,-1,446997,53755,761507,-1,525951,792612,36526,-1,-1,-1,600611,147661,320510,-1,-1,-1,-1,213616,-1,-1,-1,-1,-1,848416,355194,-1,531364,291366,903590,-1,22722,606821,-1,189665,919616,-1,-1,-1,-1,437430,-1,503808,-1,-1,738778,-1,-1,603721,958757,581078,45019,553805,408333,208932,-1,-1,732533,216715,592180,7109,-1,-1,-1,-1,5785,-1,-1,-1,352235,620155,234305,223080,666865,-1,-1,914101,-1,46066,606126,-1,3474,-1,-1,-1,858266,-1,398868,691024,-1,-1,-1,644181,-1,-1,3294,-1,-1,57219,-1,814709,-1,-1,-1,598342,-1,290856,340284,-1,-1,391474,961570,-1,905636,362363,-1,-1,246159,353863,849170,118755,-1,482308,562298,198469,568979,800025,-1,-1,932767,132197,-1,237852,-1,972523,-1,-1,-1,-1,-1,-1,-1,306907,340378,-1,-1,-1,-1,28183,-1,-1,-1,-1,-1,-1,-1,224356,-1,660068,722482,359891,538000,-1,-1,893814,633816,559500,-1,-1,491620,728040,656057,-1,6419,130751,225872,340723,-1,555605,181877,-1,-1,501565,401746,-1,-1,-1,-1,-1,365865,439228,-1,-1,250030,408473,-1,21611,-1,-1,-1,895929,653873,133925,-1,-1,671018,-1,-1,583954,-1,818487,233739,-1,-1,952350,890001,-1,-1,176165,-1,371729,-1,-1,180726,875099,644806,-1,253304,451296,-1,-1,-1,-1,-1,89624,381741,516610,204094,363020,140634,-1,-1,982217,-1,-1,938471,-1,-1,-1,140108,358523,-1,792053,74630,480905,-1,153225,-1,-1,-1,-1,-1,-1,489766,420233,-1,978618,-1,-1,-1,-1,835646,507033,-1,-1,-1,-1,885263,55718,-1,-1,-1,-1,-1,-1,-1,774194,-1,46463,916040,964340,952570,-1,-1,941400,799240,-1,-1,-1,409810,-1,-1,-1,-1,306166,-1,-1,151167,796226,-1,911190,-1,955065,836928,-1,199327,882200,-1,882919,-1,243484,268476,-1,521786,152849,-1,-1,287541,716541,787596,-1,-1,815039,-1,-1,772749,-1,880298,277347,45993,931288,-1,937613,926829,-1,-1,472511,-1,-1,526969,-1,-1,-1,-1,128185,-1,699765,876524,435890,-1,641258,387924,1834,207770,-1,-1,149604,205529,558022,-1,191169,-1,187988,-1,-1,109932,101442,369229,-1,-1,530553,-1,-1,-1,-1,-1,-1,818211,360356,969512,-1,-1,582687,-1,385366,641004,153704,-1,-1,350133,787329,-1,715108,-1,-1,-1,293577,-1,-1,-1,892630,-1,-1,-1,459072,979567,-1,-1,-1,707477,-1,571456,-1,733897,852820,-1,-1,398119,821950,-1,722577,-1,-1,376035,84311,-1,-1,-1,121995,16349,684952,-1,872071,-1,-1,-1,905842,-1,667461,451966,-1,293013,920437,36590,-1,136182,-1,552030,690449,-1,99291,-1,-1,-1,-1,-1,458173,-1,-1,500221,924381,-1,493397,-1,951408,86480,802892,614600,6373,313448,748797,176965,340720,490288,-1,-1,105337,960187,-1,-1,440279,534284,166471,162294,-1,-1,180673,916679,-1,779108,-1,302733,446855,-1,264636,733220,-1,-1,418622,-1,-1,-1,304341,-1,-1,-1,-1,-1,-1,446860,191772,935302,567585,936312,835805,-1,652082,635876,918863,-1,642333,275006,-1,-1,-1,-1,518401,-1,-1,491250,-1,251253,344115,424627,528907,924874,110252,27465,606840,-1,-1,-1,-1,852996,179013,-1,-1,-1,-1,-1,546627,98545,-1,-1,-1,-1,658303,806806,-1,90017,15190,-1,-1,635032,-1,925882,20445,389359,-1,-1,-1,-1,-1,309139,-1,793295,77070,-1,320577,819872,-1,6,287880,-1,-1,589013,-1,-1,-1,43823,-1,-1,-1,706725,-1,368881,-1,819264,-1,509950,-1,-1,-1,412210,-1,308645,505276,914183,979334,994929,354665,122434,-1,902559,-1,407694,-1,253060,994444,-1,648314,993399,204764,-1,-1,348394,-1,-1,72699,-1,-1,198875,-1,716522,-1,-1,-1,130109,869146,917089,908023,-1,-1,-1,-1,-1,496139,-1,-1,438248,253815,278415,-1,-1,252810,34876,281847,432165,784849,-1,160483,650951,-1,9335,583014,-1,374431,-1,-1,-1,74399,754928,772816,162408,499633,609030,-1,788336,602210,155425,-1,-1,375088,-1,423590,767018,-1,-1,37486,-1,82897,-1,-1,576518,538745,-1,427592,949742,670361,840502,-1,842432,471798,953352,-1,-1,609284,182284,-1,-1,712618,-1,635937,153758,-1,-1,-1,66689,943847,21565,930407,473012,-1,-1,-1,-1,952974,672220,907812,-1,644449,336245,-1,203475,-1,853613,86517,-1,-1,-1,667449,-1,-1,112318,-1,218668,304729,-1,-1,61130,461209,887255,79048,-1,5665,217563,-1,-1,-1,304275,874206,-1,156280,394426,307036,-1,-1,-1,-1,938898,153653,-1,213455,-1,41075,-1,118882,-1,-1,682493,-1,133980,236407,-1,-1,733164,843846,62993,-1,-1,-1,328697,646184,937595,-1,299145,-1,-1,-1,-1,324167,-1,381967,400017,-1,860064,460724,554472,422653,-1,-1,712276,-1,-1,-1,-1,-1,416500,-1,543781,-1,494796,-1,-1,638491,415044,795256,925293,584792,-1,-1,604238,-1,243162,604667,667694,772370,776674,-1,298358,785987,631589,-1,553921,122709,779384,493386,-1,806157,-1,495217,-1,-1,567606,-1,-1,-1,463112,-1,780097,-1,716133,-1,-1,-1,366952,263353,-1,870814,-1,-1,886828,660413,583235,-1,449887,-1,-1,130467,-1,-1,-1,799728,-1,679091,783093,-1,66911,167817,-1,-1,553788,-1,680803,699857,-1,-1,-1,177676,992901,-1,9082,202514,3247,-1,-1,-1,-1,-1,-1,671518,-1,-1,-1,-1,788253,-1,502505,-1,333908,-1,194128,692168,91098,-1,-1,-1,-1,-1,-1,367218,-1,948811,-1,268907,900096,-1,154100,-1,278992,-1,650768,864362,-1,-1,-1,-1,668654,655386,323897,-1,-1,-1,112290,-1,-1,478851,925548,851002,706519,-1,-1,-1,-1,223229,-1,186889,-1,-1,322530,379234,-1,-1,944870,141669,495143,-1,-1,-1,395576,500260,513962,872409,-1,-1,-1,358684,-1,278409,-1,5382,-1,902233,-1,123954,356449,213216,478735,-1,491405,276892,-1,695505,299224,-1,465221,106621,658986,42281,-1,246776,947489,804636,-1,-1,138343,250603,324179,936248,983172,-1,273308,-1,-1,952009,-1,676550,-1,-1,-1,-1,738812,514934,767596,76490,-1,579910,233744,912362,115888,817873,358286,931617,-1,871778,853137,-1,950321,463169,-1,793740,837753,772030,-1,572463,525046,255625,-1,821902,-1,-1,-1,401777,230911,21520,769939,130187,815779,-1,609542,632650,-1,252487,717542,635886,-1,-1,-1,874839,818945,787174,788162,410090,722567,69559,-1,-1,-1,-1,-1,-1,-1,-1,79878,-1,553317,955395,-1,74748,-1,-1,-1,85260,-1,144184,-1,-1,531560,-1,-1,-1,697492,674124,44848,587012,-1,-1,-1,733650,-1,-1,599786,-1,-1,175283,537143,-1,902541,277407,-1,90685,-1,550732,-1,-1,420681,291420,973073,-1,-1,-1,717825,-1,-1,174423,365089,-1,734078,-1,-1,-1,807361,603255,861487,714057,738967,127920,807029,-1,400710,13353,-1,341,910139,798766,-1,1566,375676,-1,-1,-1,-1,-1,-1,-1,94393,745434,-1,-1,-1,652569,-1,-1,-1,-1,490278,-1,-1,-1,626793,-1,344458,578718,-1,517780,764252,-1,494611,-1,-1,-1,133971,-1,-1,-1,-1,-1,-1,-1,-1,807139,831365,714009,677779,-1,731602,114104,-1,-1,-1,-1,957498,-1,-1,-1,-1,427005,58856,795317,729194,-1,-1,-1,551799,-1,521661,-1,341984,815901,202631,-1,-1,476843,-1,-1,975619,-1,-1,-1,-1,349009,68570,-1,467931,960999,990144,463309,-1,964486,360175,75571,-1,-1,-1,-1,611640,828627,-1,332038,-1,-1,581273,270106,80118,-1,577914,799273,731627,64752,-1,-1,-1,657831,-1,857791,-1,500878,-1,423441,-1,-1,-1,-1,-1,25970,235104,-1,648548,518530,698172,-1,-1,350060,791451,621040,-1,-1,-1,-1,46610,-1,-1,64922,746252,178485,-1,-1,-1,-1,-1,-1,406793,-1,119302,-1,979126,-1,549279,835650,618510,33384,587066,654901,158301,-1,-1,-1,-1,487541,902491,509346,-1,-1,-1,244518,122806,848794,-1,-1,509344,155695,391493,-1,-1,192074,270209,300278,-1,-1,-1,724710,-1,972265,723921,226255,406112,706845,425346,484168,751788,48220,823320,-1,188916,992401,-1,632500,-1,-1,704111,853501,264151,-1,-1,-1,835830,53473,744715,265973,310116,18827,8689,834608,26224,944258,-1,617401,-1,99015,25125,225890,113075,454353,-1,932528,213465,-1,702502,-1,-1,-1,841347,787769,488698,-1,-1,-1,-1,-1,-1,121769,-1,786182,-1,-1,693321,157149,-1,-1,-1,66256,178161,461152,538868,391521,267330,-1,818424,76941,-1,202805,-1,-1,-1,-1,-1,263423,981099,374353,-1,428621,-1,-1,-1,-1,113182,338754,-1,536054,-1,28702,-1,-1,-1,-1,135386,-1,789822,-1,59499,-1,468147,90316,-1,151617,-1,319354,146789,494777,760551,316874,981721,893651,-1,818752,904794,399149,231255,-1,2520,452469,-1,137431,592630,-1,985759,729016,-1,230606,-1,-1,-1,-1,288216,-1,919104,131472,966730,423158,-1,983982,231960,-1,-1,-1,188321,45441,-1,-1,-1,-1,277193,-1,-1,107276,-1,-1,475994,294075,190441,208359,14517,-1,143885,758300,972530,-1,-1,289315,-1,-1,257563,-1,-1,11865,125240,815384,295529,-1,628549,-1,73181,946544,950092,-1,230102,-1,708956,-1,117960,208936,-1,-1,840411,234686,136278,-1,-1,-1,-1,43877,704343,553338,661499,-1,878328,-1,-1,-1,960417,-1,283544,-1,-1,46751,137480,-1,270400,737152,-1,-1,-1,-1,784066,-1,919544,-1,762509,925477,681380,-1,369192,-1,-1,604673,-1,597531,939339,-1,-1,624018,-1,315227,131488,643977,401587,726199,786350,-1,879960,-1,863174,368244,326429,-1,-1,575334,-1,206708,-1,746244,466577,405466,-1,384036,740129,584243,-1,67729,-1,-1,-1,540990,-1,-1,-1,-1,-1,-1,34711,269411,-1,707549,-1,928056,678546,-1,997608,-1,-1,876062,653632,72298,-1,542442,486891,351753,588364,-1,-1,-1,-1,762481,-1,-1,851555,30582,-1,328279,645583,745966,-1,-1,-1,992416,503671,-1,-1,831839,842232,-1,-1,573425,-1,-1,-1,-1,-1,-1,-1,713944,-1,-1,548024,-1,137515,119814,172466,47548,-1,412597,509689,-1,-1,-1,-1,-1,2159,127832,-1,397086,-1,25768,900357,-1,298571,658711,543708,270271,423125,-1,-1,413845,-1,-1,-1,-1,-1,827924,-1,122821,-1,-1,231474,-1,727310,193843,-1,521844,409430,682691,11861,-1,-1,632773,724119,-1,-1,351394,953604,-1,464212,863721,-1,-1,-1,-1,989971,375248,401600,803310,127520,-1,126535,-1,-1,888147,-1,312904,-1,144080,444495,793429,-1,-1,534493,-1,448884,414806,822168,-1,-1,-1,-1,-1,557021,836120,-1,194325,45066,-1,730922,-1,76925,445963,337028,418975,156849,100831,935723,570287,808660,959759,987415,959753,151822,953507,679390,-1,588636,-1,-1,643481,-1,922011,-1,-1,970522,-1,-1,933082,-1,784011,-1,963169,95250,332743,839354,687291,-1,-1,176130,354543,815432,622849,495909,-1,-1,606884,-1,-1,-1,83957,-1,530678,-1,399699,-1,-1,680003,551401,-1,147127,130204,-1,-1,205286,571460,-1,-1,-1,65804,-1,915721,-1,790796,11224,-1,312080,7012,-1,814676,167504,-1,-1,413549,835843,128965,720458,-1,-1,410143,-1,937508,374156,707976,-1,-1,-1,780170,306783,955354,555759,270987,336014,321418,804425,704067,819102,142387,-1,511335,813099,-1,531725,874052,511197,-1,569861,-1,-1,-1,259317,66590,141930,158797,-1,81863,-1,-1,581869,-1,-1,279837,585349,206004,210724,63955,738060,921511,-1,660970,-1,-1,-1,-1,-1,511367,-1,611645,452120,-1,226948,-1,-1,813570,-1,-1,-1,869129,-1,-1,162352,-1,-1,-1,393326,655036,471707,1947,-1,855310,347632,667190,928878,-1,-1,-1,-1,-1,-1,-1,625778,694961,781878,371669,4124,-1,-1,757737,943312,438398,303887,-1,294663,188192,-1,802869,-1,-1,-1,-1,-1,65391,397133,-1,760286,-1,-1,21137,-1,191791,-1,608947,810645,-1,-1,62648,901883,861813,136889,-1,-1,215966,334625,934983,694720,-1,885592,-1,397652,820479,69709,548648,-1,-1,911995,-1,346073,722011,39331,623045,-1,-1,-1,-1,987058,-1,-1,-1,-1,815948,693237,507347,605111,-1,608545,-1,985348,142495,-1,-1,576645,989394,4356,-1,116226,947702,742924,375831,-1,-1,-1,96898,844570,458085,15281,34065,912865,-1,-1,-1,-1,10528,-1,765015,533340,-1,75496,-1,85422,-1,150266,-1,936959,-1,-1,910257,-1,-1,331196,561749,-1,475031,638164,-1,645997,-1,-1,-1,450833,-1,-1,-1,268851,-1,547293,646235,-1,789024,-1,56936,177256,58891,230602,-1,-1,985257,57451,-1,-1,-1,-1,-1,-1,746581,144177,82327,527197,367613,-1,478099,-1,-1,-1,902658,28187,115546,-1,381031,182473,-1,4845,877747,-1,707282,329142,-1,-1,-1,874420,-1,676499,-1,-1,26677,768347,-1,988105,-1,199590,-1,-1,896536,684430,965010,-1,-1,-1,-1,467568,-1,-1,-1,427865,499237,635587,263088,-1,814904,528934,-1,-1,-1,-1,135325,557685,253035,51023,481417,846300,558612,499102,175976,379680,-1,-1,-1,-1,159333,681499,157239,-1,843648,-1,646685,-1,-1,922537,-1,-1,-1,-1,-1,705082,893405,-1,-1,-1,-1,611314,-1,-1,-1,-1,-1,-1,956953,-1,623985,-1,-1,-1,282088,636258,433445,157850,831891,23950,-1,165164,494141,525744,601971,-1,759172,-1,-1,-1,804779,603577,519817,-1,-1,344361,342650,578992,-1,272101,-1,123228,-1,987719,30867,767833,265844,85906,-1,990571,447882,789856,531810,-1,-1,141162,983738,659991,-1,-1,397222,-1,-1,329307,953285,-1,606214,-1,249027,-1,469760,-1,-1,-1,-1,-1,766858,521577,-1,234652,709655,-1,916370,-1,-1,169906,977547,-1,122929,-1,868088,-1,405622,786989,819852,-1,-1,-1,-1,-1,669680,-1,154359,761340,282131,990559,261574,654824,407210,557812,715160,-1,322333,-1,-1,-1,888770,-1,437988,34491,-1,-1,-1,148127,-1,-1,-1,365814,370631,273588,-1,51310,-1,845688,-1,-1,-1,-1,-1,818380,865904,-1,-1,-1,652753,595574,513112,713283,-1,-1,475628,-1,-1,-1,886167,-1,55804,724019,405469,-1,-1,971828,-1,-1,-1,-1,-1,925342,-1,535682,1919,246625,-1,-1,434879,791975,-1,-1,612959,-1,856777,-1,-1,-1,425309,-1,-1,274567,710944,-1,998516,130539,-1,-1,555550,-1,634869,-1,-1,888509,580132,785665,558388,-1,-1,630922,245440,-1,209447,-1,490945,866336,-1,-1,687934,419200,523180,407421,-1,-1,10626,951219,-1,-1,-1,508012,177370,276960,-1,249546,-1,492419,-1,440062,357502,-1,-1,354621,-1,-1,695740,845990,786949,369078,544256,502552,-1,104715,416258,329575,-1,961207,-1,456358,437732,149150,224093,-1,-1,421581,21925,513951,78794,529690,704263,807131,-1,242078,875839,107613,-1,319969,306991,-1,275074,664295,707312,-1,-1,57635,-1,-1,-1,209720,695888,746481,2268,-1,-1,406471,-1,643386,-1,-1,-1,110060,764720,829269,986007,-1,645363,-1,-1,547504,793737,473644,113416,992346,-1,69103,-1,-1,-1,-1,879870,397580,928700,-1,-1,-1,467590,289704,202398,241865,974665,786705,758214,-1,238338,914081,-1,423572,-1,-1,842253,27064,857770,-1,711560,365240,49051,309177,238527,250906,-1,278078,71197,549053,420120,-1,-1,65091,-1,-1,-1,-1,-1,-1,353188,581933,-1,-1,-1,-1,645208,-1,-1,-1,742130,-1,-1,752637,-1,514286,-1,560585,295894,704465,104675,192755,-1,-1,-1,-1,212846,850471,386417,-1,180243,666961,503639,793609,-1,-1,-1,-1,-1,-1,829107,917047,-1,-1,385613,-1,11842,-1,-1,987211,-1,450872,-1,-1,585975,-1,219519,195503,-1,-1,833875,225290,-1,-1,97733,721449,445424,-1,-1,772921,748887,-1,-1,75861,334252,868320,6800,3094,20813,-1,801739,134000,-1,791864,-1,-1,-1,665876,439573,489332,-1,-1,-1,-1,878485,-1,637876,74056,550568,498418,793318,-1,-1,-1,251056,322225,-1,979937,-1,529984,741728,80531,-1,6614,-1,415401,-1,-1,716939,978731,886851,824011,549501,-1,32049,-1,998320,-1,494230,-1,-1,-1,480486,368503,537842,681806,-1,-1,-1,516802,123512,-1,-1,-1,-1,169074,-1,-1,121354,962397,-1,129813,931566,-1,291970,-1,935404,333760,325522,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,625161,460656,-1,-1,-1,-1,-1,-1,327291,-1,-1,-1,-1,932617,889083,424307,534640,989730,399168,342095,-1,-1,-1,231525,449245,-1,10098,-1,-1,557364,-1,-1,-1,-1,-1,670945,938124,805225,34436,712837,-1,-1,-1,-1,-1,876414,-1,-1,-1,756950,-1,-1,-1,928061,-1,-1,-1,804007,688346,737618,-1,59064,-1,87148,-1,869512,853208,482260,242626,292411,-1,9011,-1,113744,964706,476418,-1,850966,830126,-1,524063,200905,-1,-1,143873,-1,352283,507289,696000,912936,-1,602807,-1,667126,-1,-1,788572,481717,985940,20165,270141,-1,-1,-1,-1,-1,-1,-1,118226,-1,477863,26047,-1,680705,21304,-1,-1,467338,-1,-1,-1,372933,-1,-1,-1,-1,781319,432126,-1,800673,-1,-1,930673,575666,-1,761705,397060,361437,709528,-1,-1,365305,47328,118343,-1,734221,-1,154095,606428,-1,296029,51765,515671,863605,-1,69495,935105,-1,400075,-1,457157,-1,-1,520528,536169,945926,855276,-1,-1,756422,-1,-1,487745,-1,-1,18328,734391,698416,747205,559393,-1,78212,108358,890775,-1,542933,-1,-1,664525,799229,561076,700982,610935,741624,865964,-1,835858,970205,531621,249106,-1,101710,-1,417494,-1,200469,-1,-1,666549,-1,977701,-1,-1,-1,-1,-1,-1,-1,31858,-1,-1,-1,-1,-1,-1,-1,-1,-1,546767,922628,-1,826833,131184,424473,627658,566264,27252,198280,323397,-1,834186,501516,919184,-1,805013,-1,705243,456977,-1,385314,-1,-1,273200,-1,749176,590674,-1,361420,-1,-1,367361,550747,221074,605745,-1,-1,190422,-1,874111,600303,67173,-1,680788,637577,675136,468140,946239,-1,-1,-1,882690,217614,970254,-1,-1,252881,-1,-1,-1,-1,-1,373529,-1,-1,-1,-1,78643,-1,-1,422088,187889,-1,-1,-1,-1,-1,988752,868578,-1,477961,655033,-1,-1,-1,940811,30315,-1,-1,-1,748195,-1,-1,-1,810997,361734,238747,238430,-1,-1,204458,878270,519780,-1,283086,-1,652781,629229,958937,50565,-1,-1,623710,-1,76096,-1,27921,-1,-1,-1,384013,-1,622753,125539,541981,-1,134079,204343,-1,280923,937698,-1,-1,950053,704088,691528,-1,-1,-1,708987,816649,-1,755369,420637,127939,310823,-1,940676,-1,-1,-1,-1,-1,381531,-1,937414,934661,552350,-1,-1,377416,711367,288476,-1,165022,713539,-1,-1,-1,987061,-1,-1,211726,35207,123676,629726,751268,520435,-1,-1,-1,-1,-1,214197,-1,977876,-1,-1,121487,-1,254897,-1,427270,-1,-1,-1,122122,-1,-1,425941,-1,-1,212773,-1,275214,546013,-1,-1,-1,-1,-1,226756,-1,392306,953132,415805,398742,-1,-1,399985,-1,-1,-1,-1,-1,692838,893073,960863,-1,472193,315948,-1,-1,371044,977565,-1,-1,495321,781666,-1,-1,-1,-1,168970,-1,-1,-1,919837,598034,406250,-1,995674,-1,951149,699760,138230,73259,968794,498543,868314,437368,249842,-1,-1,291639,-1,-1,769863,101478,-1,-1,309763,773977,219663,307953,-1,699499,-1,-1,-1,-1,243048,-1,-1,-1,961219,-1,286897,161983,-1,730088,965288,881127,474888,-1,347486,711976,756018,496006,-1,-1,-1,-1,188987,260525,229207,692712,268408,983117,-1,-1,760310,504043,742724,34815,-1,651556,224211,681376,-1,685001,-1,964938,452000,-1,494614,105488,706823,-1,779309,539817,-1,254652,341501,364718,-1,595292,-1,-1,646928,583588,-1,-1,596965,333154,453043,988929,-1,808057,520489,-1,622026,692600,-1,-1,926780,97669,759589,-1,-1,-1,-1,-1,-1,-1,554382,-1,-1,-1,-1,-1,-1,389940,-1,212256,-1,383867,74784,-1,747597,46232,-1,278572,-1,-1,623601,-1,979488,-1,785785,526688,601354,-1,-1,350037,598795,-1,-1,34408,989552,-1,-1,46553,872084,986506,-1,50103,721929,557925,515290,539692,679471,-1,931268,-1,711461,301772,117159,554620,786247,-1,-1,339192,231863,167512,148330,202512,863450,-1,-1,363337,585993,884014,-1,445574,-1,525438,-1,421612,-1,661819,656016,791217,224704,-1,-1,389748,622001,-1,524151,634945,-1,-1,12480,-1,818242,-1,-1,731014,574236,9780,894877,-1,-1,866311,-1,-1,-1,480244,-1,2471,-1,-1,-1,-1,-1,651863,322852,496612,550441,-1,-1,606567,-1,-1,-1,-1,897931,571255,-1,-1,-1,-1,-1,-1,488959,22154,-1,-1,-1,824844,-1,-1,347468,-1,-1,514034,267255,18824,902480,-1,322319,-1,888854,-1,-1,-1,670245,674007,870583,-1,140363,364656,-1,204616,472615,857792,402590,-1,384162,-1,436190,321881,-1,179667,700417,-1,-1,264300,-1,-1,-1,346,781649,685698,153906,-1,614991,445613,413986,-1,771659,412946,604986,-1,117657,226820,-1,586664,-1,919218,305675,924668,-1,-1,-1,18882,-1,171455,10009,-1,459414,-1,-1,-1,-1,790922,325704,47706,751932,-1,636639,-1,-1,590852,-1,126752,-1,-1,-1,897988,-1,-1,-1,-1,870221,-1,-1,412271,236076,816959,-1,889580,-1,113545,329717,645695,-1,929684,-1,411548,-1,-1,857678,-1,-1,-1,-1,-1,917617,-1,-1,-1,147609,883756,629417,-1,-1,999053,557181,461120,-1,-1,177485,-1,-1,-1,236691,166427,8484,-1,656951,793839,916351,-1,942760,516220,818600,-1,265093,453773,166303,631109,-1,-1,-1,662398,-1,390735,151679,35086,684490,275251,262804,699784,-1,-1,968847,872253,504576,57459,-1,-1,-1,364936,559228,93127,13558,810635,-1,-1,335167,224932,507899,987508,-1,47375,-1,-1,187549,823627,-1,-1,-1,-1,-1,-1,-1,321426,-1,-1,495,-1,329010,50247,-1,501522,-1,916422,877910,448564,232290,270879,-1,740095,716238,691059,-1,-1,481095,-1,458573,-1,981882,-1,437852,-1,-1,221367,636165,690752,88881,496525,-1,18133,-1,889960,-1,865857,448560,-1,-1,-1,349463,-1,-1,729140,-1,450804,450712,148652,325512,-1,-1,-1,-1,588781,969544,-1,610491,873790,-1,-1,677217,963195,326515,455860,251606,624320,-1,-1,601988,-1,333438,-1,986123,455133,50840,984416,-1,798574,-1,613221,749177,603810,216600,-1,-1,368136,951296,602832,-1,988431,-1,329681,-1,76076,149324,900141,4957,514159,-1,-1,-1,169474,-1,-1,936303,918244,771088,-1,-1,-1,938594,94326,350904,478571,111703,334250,253093,120479,473513,20737,-1,666821,628630,220881,330366,771376,-1,-1,898161,-1,762587,655702,816228,705615,-1,-1,630625,-1,-1,-1,746954,-1,74142,-1,854108,604062,-1,982131,-1,-1,-1,-1,-1,-1,-1,743670,-1,-1,15537,-1,618044,317696,-1,487833,-1,584921,-1,831220,-1,559776,-1,-1,-1,-1,-1,274639,-1,808423,867140,-1,185475,59635,-1,817355,-1,-1,-1,172767,291223,323833,292619,-1,435988,-1,626923,57625,-1,124291,-1,846834,-1,635333,45396,238117,-1,-1,-1,428926,-1,379892,648203,-1,621488,464618,966431,-1,256885,782227,-1,-1,-1,639206,958945,-1,912104,-1,416226,-1,144260,149393,735808,-1,730484,508946,944801,-1,-1,214665,-1,666562,594550,613974,295068,602216,493304,-1,-1,741955,652149,-1,-1,-1,268302,-1,-1,43483,469167,-1,123600,-1,727252,452134,160989,-1,374495,690524,-1,669310,916079,944695,501882,-1,-1,507175,-1,-1,662126,157235,-1,-1,767548,796320,658552,-1,-1,772709,714756,-1,977165,965818,73069,465580,-1,-1,750680,271282,-1,195020,-1,-1,-1,-1,-1,28175,-1,151429,559314,881779,782345,-1,-1,-1,-1,-1,458221,-1,861738,628229,97680,857331,79988,703326,442822,-1,-1,-1,-1,583713,-1,-1,-1,-1,630372,-1,957769,984173,-1,-1,-1,146537,-1,439937,-1,536591,819719,-1,-1,472786,525641,652510,-1,-1,371231,-1,-1,144644,514985,-1,-1,84182,-1,-1,210767,-1,-1,104567,-1,780016,-1,-1,-1,-1,297309,-1,-1,776024,455380,814443,-1,149509,991376,-1,-1,-1,60628,833552,793408,-1,-1,525978,-1,-1,-1,251927,-1,845108,-1,828475,-1,-1,-1,434585,141889,268549,-1,-1,-1,638050,-1,-1,-1,-1,-1,28633,-1,-1,-1,800201,-1,-1,578850,-1,270914,-1,52585,658288,-1,-1,-1,-1,-1,983989,758033,-1,-1,302322,-1,-1,-1,-1,-1,170866,-1,469765,161688,733368,-1,-1,-1,297686,-1,205967,-1,854775,724896,392698,942064,971832,609843,582479,-1,362882,-1,657567,-1,49857,-1,911187,-1,955313,501969,-1,-1,-1,526178,-1,687725,260046,-1,915431,66949,-1,-1,167439,-1,707014,-1,470442,326733,-1,393898,-1,-1,35553,444359,-1,338510,-1,-1,-1,379967,-1,-1,-1,380446,441317,-1,228317,-1,-1,-1,-1,610200,-1,-1,-1,-1,910141,-1,-1,315576,-1,-1,-1,67489,-1,-1,218823,124167,374559,-1,-1,-1,964863,539958,-1,721966,144934,-1,574208,881766,308712,144561,-1,-1,766900,-1,-1,-1,739212,2249,-1,470282,-1,107854,806810,619885,599697,-1,727044,579782,9816,861987,-1,-1,432386,-1,-1,662597,820204,-1,93535,759637,853258,-1,-1,-1,-1,415282,-1,-1,493382,-1,120647,872834,-1,-1,-1,-1,866266,267378,-1,-1,-1,454419,-1,755474,593949,-1,-1,768928,-1,-1,-1,229613,-1,363502,660485,246811,416286,767832,901227,949189,-1,709567,353478,-1,565108,855355,-1,-1,44925,-1,261657,-1,533522,-1,-1,671179,440928,485345,996125,-1,-1,-1,415288,-1,-1,-1,507174,354102,-1,-1,928396,101455,-1,616329,946623,-1,653713,-1,-1,-1,806349,450859,-1,631033,927244,-1,460921,-1,-1,542277,-1,841759,2416,638902,809626,-1,730129,990285,165106,576509,147491,202265,895542,-1,-1,-1,-1,-1,494896,-1,934827,753528,-1,-1,-1,-1,142396,-1,-1,999276,958700,-1,-1,-1,-1,-1,323403,-1,861319,-1,-1,-1,292161,-1,-1,-1,54370,348710,-1,-1,470534,-1,612261,616912,413678,556651,758096,-1,-1,485956,-1,-1,-1,-1,950857,902149,687796,758205,-1,375689,3376,-1,-1,-1,-1,605689,-1,451630,616168,900705,-1,-1,-1,161743,-1,-1,-1,-1,-1,393847,651931,-1,-1,-1,-1,-1,-1,772136,-1,603815,-1,-1,-1,290292,372806,386894,-1,-1,-1,606584,983053,-1,771719,-1,122623,983422,713783,35396,-1,-1,-1,-1,-1,-1,-1,91665,550185,41628,633608,-1,657594,969220,859707,-1,42495,486906,-1,724,-1,950816,882175,-1,-1,-1,-1,-1,-1,567038,-1,-1,-1,-1,574215,603076,32850,-1,202682,220058,-1,-1,203032,-1,-1,-1,431206,578330,675385,-1,611779,852226,115184,758146,157551,-1,403546,398315,-1,-1,628414,-1,981914,-1,-1,976430,-1,615851,553996,-1,-1,-1,-1,-1,-1,-1,505735,-1,-1,-1,108297,-1,-1,-1,-1,737565,-1,993262,302718,168866,-1,473994,-1,445699,842174,-1,-1,-1,658097,165796,-1,444774,-1,-1,-1,700607,-1,-1,632836,-1,-1,-1,-1,784099,783265,-1,-1,903183,-1,344444,458122,-1,277747,-1,699534,-1,-1,657318,-1,153876,525430,-1,-1,420908,862410,-1,-1,-1,594119,-1,717727,821351,691669,251921,247338,-1,-1,727659,928333,-1,-1,-1,-1,-1,760266,-1,662369,374614,-1,343079,777645,176679,478703,913675,-1,701595,-1,284640,745637,659713,205494,558639,728892,508152,404175,-1,-1,876147,189813,-1,763765,964852,367728,-1,373681,957188,-1,-1,769911,-1,-1,-1,348002,194884,417070,140319,-1,733984,245401,-1,353823,739349,-1,571231,403494,-1,-1,-1,89749,-1,-1,510858,549587,-1,-1,-1,-1,487628,886122,-1,727753,230459,-1,846015,446355,-1,138279,-1,823142,61577,205972,729192,-1,-1,-1,-1,-1,427734,-1,-1,-1,155756,-1,-1,379623,380692,474336,-1,499424,-1,-1,-1,-1,452414,570921,-1,282976,-1,242153,306820,-1,963003,993889,332399,239092,-1,-1,-1,-1,889854,791295,930786,398761,-1,358847,234066,-1,656584,-1,-1,-1,-1,-1,481895,-1,169612,-1,-1,-1,-1,12910,108953,-1,-1,-1,437463,818605,-1,762419,-1,-1,-1,-1,-1,602964,181969,366635,91457,-1,133855,153966,-1,-1,-1,262960,-1,-1,-1,915409,-1,788267,386103,-1,-1,-1,793380,-1,-1,-1,-1,909252,-1,-1,-1,-1,-1,96268,588683,-1,967415,283747,354766,-1,-1,459905,-1,-1,-1,142910,502643,-1,435470,632414,-1,497153,566928,390173,-1,702979,-1,748108,-1,204207,-1,621241,956642,276286,-1,-1,621066,-1,-1,423394,-1,-1,-1,-1,148926,684366,36656,636391,-1,-1,372453,-1,-1,-1,153725,112911,267668,-1,-1,759926,766050,196492,-1,286010,861195,839949,445131,56460,-1,379573,39050,337349,-1,-1,-1,755763,569208,-1,-1,301983,629018,658935,-1,-1,-1,497035,764373,7701,575064,-1,250985,351727,572772,-1,355051,963931,911361,68482,-1,-1,-1,-1,-1,-1,600042,386499,817427,916919,-1,600856,-1,-1,-1,757084,366676,-1,-1,-1,-1,200248,996012,321242,-1,-1,302915,-1,-1,753800,-1,-1,580774,-1,608666,83381,570829,61615,121515,64201,147047,898931,78463,224936,577015,921968,-1,-1,303785,182820,-1,530198,-1,912191,-1,-1,538949,-1,-1,-1,-1,382254,930891,428266,-1,673547,739960,-1,-1,-1,978638,-1,-1,-1,-1,199740,321606,650560,-1,-1,399040,776886,-1,71785,938125,-1,-1,149044,2775,-1,-1,-1,901744,-1,-1,848832,-1,487507,953384,248161,850613,409992,-1,-1,-1,459994,853810,-1,933234,17081,-1,667980,878003,298094,-1,513580,-1,761624,67052,-1,845596,345255,757504,601514,-1,170434,850967,347362,-1,750073,438829,-1,-1,563618,685935,66884,-1,-1,17994,484112,-1,-1,-1,500411,925715,-1,670017,405425,-1,-1,34895,886891,704787,306077,-1,-1,-1,217904,764826,358390,-1,-1,439206,528254,-1,-1,-1,261414,333182,468918,952646,109464,-1,323859,661936,107475,-1,-1,192850,198013,910666,-1,748794,-1,730211,799361,-1,400493,688498,-1,-1,-1,-1,785911,-1,-1,797496,907260,-1,736917,-1,-1,-1,-1,414982,-1,186496,-1,-1,-1,582515,364356,178768,456973,729556,-1,-1,-1,901138,-1,585135,-1,503041,255669,836822,-1,252544,-1,-1,815193,-1,578825,845161,965635,725216,-1,382199,687318,-1,194842,697010,570802,783915,-1,692032,97383,74894,-1,866788,251333,-1,-1,91269,697433,983946,627203,820405,-1,513212,433877,-1,-1,190717,-1,78278,24589,893503,297492,828075,140988,434416,-1,-1,-1,317816,483997,-1,808376,872280,-1,-1,489741,135394,-1,-1,870232,-1,63772,-1,778976,-1,417839,919741,-1,-1,-1,572030,-1,-1,1956,758531,640824,732762,-1,188939,45033,686566,934201,89926,-1,-1,911662,768645,-1,-1,946874,-1,-1,193742,-1,-1,-1,853672,231708,698466,-1,595609,-1,-1,-1,-1,271266,-1,-1,-1,-1,865311,20591,-1,330812,-1,-1,-1,-1,625928,-1,367591,494891,-1,851345,-1,324983,-1,-1,154831,-1,-1,-1,-1,-1,-1,-1,7147,-1,179593,-1,-1,770180,871219,-1,69051,-1,123833,124816,-1,320669,928575,854584,-1,398044,-1,-1,601114,849106,-1,-1,370353,636972,-1,953139,-1,-1,310625,-1,229904,-1,-1,-1,121898,-1,495500,938423,-1,22279,-1,185880,-1,-1,-1,813111,-1,74016,-1,-1,993462,586928,-1,-1,344966,808926,-1,-1,497201,499034,-1,-1,-1,939930,847148,161477,258121,152956,-1,-1,-1,324814,587014,-1,-1,944811,-1,622863,442171,219489,-1,-1,514737,-1,971189,-1,-1,-1,-1,449635,298858,-1,-1,-1,-1,227340,-1,-1,-1,199742,359803,294668,-1,-1,526758,68705,-1,-1,818906,437220,-1,702128,-1,-1,713612,-1,189730,785128,-1,462097,-1,-1,575830,816556,604460,-1,-1,-1,-1,-1,-1,482347,414769,690668,965315,12870,575618,453658,-1,-1,537070,-1,666875,-1,-1,-1,107392,-1,797529,885126,-1,554308,443319,278647,854758,722571,-1,694796,786378,123799,742455,-1,-1,-1,-1,5388,-1,757678,-1,648753,-1,820269,-1,-1,-1,860336,475886,-1,649204,806594,-1,837265,995553,944134,873555,-1,876234,-1,242678,295703,848930,998755,-1,523288,-1,-1,-1,437774,-1,615786,-1,226331,-1,-1,367844,-1,837015,-1,204277,684026,368219,-1,449230,366679,2878,-1,782522,922999,706492,-1,946175,-1,938753,507714,-1,410229,72691,34595,-1,278135,-1,-1,478310,592758,464880,271272,151951,-1,580783,98821,476523,456566,-1,-1,-1,-1,-1,-1,877665,-1,229691,442286,805656,309989,670647,-1,405385,-1,810089,-1,210453,756021,-1,141351,477976,-1,64208,593888,779171,503997,386476,317775,-1,-1,-1,836784,-1,-1,-1,113739,723047,-1,-1,-1,156092,-1,154692,961533,295052,793141,-1,-1,-1,868209,-1,-1,638225,387877,629722,943375,740417,-1,707718,-1,643622,146613,293011,-1,436488,-1,-1,714192,-1,82348,921732,300704,-1,-1,760917,-1,423891,488897,376032,172100,-1,-1,418985,-1,103207,120749,315735,-1,124570,-1,770686,962627,-1,-1,-1,945301,641701,687593,-1,291032,-1,-1,-1,624003,-1,-1,794537,-1,-1,-1,-1,-1,-1,244849,291562,835263,603988,-1,776926,455072,756358,483883,-1,107605,674840,117188,169471,767338,994990,-1,31506,280412,-1,244779,-1,574410,-1,-1,555135,73007,259325,568763,966942,762686,-1,439304,378390,-1,410814,932237,325288,-1,-1,749212,-1,238644,-1,867867,743072,988017,-1,453391,321106,-1,-1,502476,343714,-1,-1,-1,-1,840072,-1,319115,-1,496979,741018,-1,-1,706347,463623,-1,-1,-1,1786,-1,296667,66778,-1,-1,-1,169718,276231,-1,577869,-1,-1,-1,-1,-1,-1,-1,385907,-1,-1,-1,-1,335352,462641,755339,-1,429415,-1,-1,-1,-1,-1,289038,-1,-1,-1,-1,981592,-1,-1,-1,-1,754067,-1,903268,-1,731723,997865,-1,584421,690006,283385,896508,-1,-1,-1,410280,-1,-1,-1,588535,570073,-1,496342,-1,629671,-1,773987,760457,-1,-1,122208,791474,-1,-1,395893,427882,-1,-1,591798,-1,-1,-1,831534,233800,761201,175576,590096,-1,-1,-1,-1,-1,304719,430278,-1,428791,192542,-1,-1,113632,935509,-1,846938,-1,-1,-1,97425,-1,702801,202816,-1,743734,751086,79024,50706,-1,509856,869255,838224,523341,185506,-1,-1,60902,-1,685433,-1,-1,982700,345276,-1,-1,42526,-1,436956,235849,703353,470187,577073,1379,936964,-1,-1,192544,-1,473857,-1,-1,974806,944243,-1,-1,-1,853156,428382,594437,-1,520868,-1,-1,288542,421411,963506,960018,731076,-1,-1,-1,380064,-1,-1,637611,-1,894662,-1,-1,90933,-1,-1,-1,-1,874367,-1,601297,-1,36788,855533,-1,34044,-1,199006,962350,-1,796502,917485,805173,996011,183669,630823,718991,677158,-1,-1,532393,-1,-1,7842,751048,745417,977552,880835,483761,-1,-1,-1,-1,-1,-1,-1,972413,-1,-1,213896,475262,193459,755591,-1,475461,54684,750845,-1,499012,656250,-1,-1,-1,-1,222375,872367,-1,162112,337823,-1,-1,-1,-1,865843,-1,518340,389200,-1,640759,-1,789286,724819,577312,437501,354106,-1,452571,-1,409459,641055,436274,-1,-1,266447,-1,546484,-1,985191,-1,391921,-1,289869,-1,-1,637282,804762,-1,-1,-1,-1,-1,-1,711676,371917,35913,-1,145400,997547,-1,753195,197121,-1,-1,-1,-1,-1,-1,464873,-1,-1,981285,-1,104445,-1,-1,870981,-1,41396,562751,167742,218033,-1,-1,796207,-1,-1,-1,-1,370015,-1,-1,-1,116623,-1,344786,-1,227993,-1,-1,234063,507558,126792,831140,360183,919062,736982,354151,-1,-1,-1,-1,18984,169510,-1,640366,333146,870750,70393,-1,-1,156483,-1,-1,947515,-1,-1,-1,753546,461068,498903,-1,962190,636613,-1,-1,896156,137484,-1,-1,443574,182476,295266,-1,903231,-1,-1,935213,892739,-1,-1,738056,499397,-1,955363,998399,-1,-1,-1,-1,-1,924282,478776,896816,491578,-1,-1,377284,259335,-1,685415,261444,712602,348509,-1,853339,-1,774541,270146,658347,457732,-1,529253,491616,-1,395798,666266,-1,-1,-1,135331,-1,-1,-1,-1,799189,-1,501000,-1,-1,-1,-1,-1,484075,-1,-1,636037,980055,799363,156498,-1,817688,-1,314688,-1,-1,28015,74500,-1,38071,-1,730097,721013,-1,-1,501873,-1,-1,-1,-1,645078,-1,-1,-1,-1,375149,-1,-1,-1,-1,881417,-1,114730,899983,-1,705049,-1,867234,296308,829823,891216,-1,395866,589971,-1,832378,995273,262994,-1,904632,-1,-1,304194,-1,-1,384829,-1,827472,303292,202633,-1,-1,649101,189755,-1,360314,-1,506907,-1,334338,-1,696673,396843,-1,966792,99280,-1,868423,707172,610314,270086,-1,-1,771451,157378,366275,-1,-1,-1,-1,-1,521606,-1,47649,328278,297841,621638,489063,42348,-1,-1,-1,265142,-1,-1,-1,-1,231932,-1,-1,-1,933798,-1,-1,-1,57998,-1,881191,947555,-1,-1,16140,-1,-1,-1,-1,-1,748100,317362,-1,379458,-1,-1,-1,-1,-1,-1,-1,547090,636404,149088,-1,743219,-1,-1,-1,436844,616423,476840,803042,-1,936762,51202,793063,551767,969795,194168,112944,-1,-1,43263,348816,-1,654676,88827,-1,-1,-1,412116,-1,340440,358166,-1,837541,-1,51145,192235,-1,756670,-1,-1,-1,615255,117480,543563,-1,225919,-1,341172,-1,-1,-1,-1,262574,616529,713723,34352,-1,731247,322668,-1,-1,427944,828416,-1,296628,219587,-1,-1,10209,889126,-1,-1,149970,485170,-1,-1,18165,-1,-1,-1,413047,-1,201396,781323,86486,330887,-1,266198,118624,617158,-1,799394,438178,557103,11297,-1,673524,685647,280506,-1,-1,-1,-1,-1,115632,-1,717440,970603,672837,268567,-1,-1,305577,-1,907792,-1,461902,141990,-1,51940,146195,-1,227828,-1,810873,-1,433974,-1,413309,708673,364709,-1,469175,-1,276527,789955,429800,211876,-1,232822,894853,917100,-1,59346,459222,-1,312516,725014,899690,576992,198800,-1,813417,516236,-1,-1,-1,879351,70828,232595,-1,592701,153264,-1,848449,-1,-1,-1,-1,-1,403838,-1,729072,-1,699152,490336,849695,474767,-1,-1,-1,-1,-1,-1,-1,-1,490177,-1,-1,680567,-1,795596,-1,460246,118051,476269,993811,837014,-1,-1,-1,-1,-1,6415,-1,87476,528294,-1,-1,-1,-1,-1,33794,-1,189758,-1,125317,-1,-1,543426,546852,92993,-1,414854,-1,-1,670935,49171,965336,996302,757324,-1,-1,-1,-1,-1,356290,-1,806617,409289,601345,287981,287462,-1,-1,678624,-1,900750,612091,-1,-1,148730,-1,-1,703747,-1,-1,308503,-1,-1,157906,-1,718081,-1,-1,966090,106854,853464,112652,-1,-1,190959,613107,67266,167568,402863,-1,318061,799664,280876,160284,775845,-1,548215,44388,-1,-1,-1,-1,-1,-1,69039,661985,-1,486943,515230,-1,208808,388806,-1,179498,-1,-1,-1,621906,-1,44060,37445,514,-1,-1,947217,505623,91809,-1,-1,-1,-1,-1,226807,-1,248054,908226,-1,-1,-1,986112,-1,-1,455086,792136,-1,2931,-1,427203,26299,-1,115206,714081,-1,258714,319336,-1,-1,-1,298271,-1,-1,-1,-1,348266,178539,-1,523865,371160,659343,-1,282982,-1,961397,-1,-1,-1,672600,-1,626952,981232,570382,-1,-1,154705,-1,-1,376899,-1,238226,-1,749863,55460,-1,157877,452470,962114,-1,946872,814027,-1,706475,590301,-1,373542,929046,-1,-1,-1,-1,974848,688500,520690,-1,12977,-1,48938,577117,199290,-1,406404,-1,827003,-1,-1,168862,-1,-1,352092,-1,-1,580677,503265,-1,-1,-1,158641,755375,973418,61755,-1,-1,701026,-1,-1,498781,412308,518023,545900,950830,762907,261719,-1,424932,419210,807451,946975,469203,60300,593617,550795,196023,-1,487972,-1,-1,-1,318323,301232,-1,-1,-1,907771,417915,-1,-1,-1,-1,374345,-1,316885,522530,-1,804251,171196,831352,665723,563677,114502,-1,817791,-1,-1,535391,-1,-1,-1,-1,762053,-1,-1,858207,-1,22403,-1,851208,-1,-1,-1,-1,-1,-1,-1,-1,836157,776959,891923,793223,57819,-1,-1,466415,118341,904640,802043,256309,932824,-1,-1,-1,-1,913055,568001,828772,-1,669514,272356,716245,63431,-1,953344,-1,482400,-1,-1,-1,-1,-1,606814,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,117859,-1,735427,655592,939612,-1,-1,-1,-1,701820,-1,-1,-1,117328,806199,-1,-1,376552,-1,-1,-1,126119,-1,305526,-1,702300,737721,338857,-1,-1,364182,-1,-1,-1,770837,-1,592046,917919,-1,-1,-1,550727,466418,994197,266844,712577,-1,394445,120369,375119,681752,906055,-1,-1,660796,-1,850035,553970,70358,-1,-1,61255,328809,484733,477960,202028,329210,-1,190386,132096,-1,-1,526764,-1,-1,-1,686805,719552,625919,-1,844332,-1,236203,611083,-1,615474,23242,878966,991955,458035,172414,-1,273493,188698,973308,110492,886211,320238,109146,866603,994670,-1,-1,645955,-1,-1,-1,687193,-1,-1,-1,141268,-1,-1,-1,579625,-1,438463,-1,817561,134524,-1,701655,-1,-1,438537,-1,-1,345583,952909,-1,420136,-1,-1,-1,-1,32139,130482,21915,696818,7454,927257,-1,434018,-1,712610,953255,-1,512371,782434,-1,-1,-1,-1,486884,-1,129937,122664,425667,-1,-1,-1,-1,318520,-1,-1,-1,-1,527909,217297,-1,537200,752184,374671,728517,-1,938527,-1,-1,965953,538915,232,617399,511910,153388,853023,726530,572926,105161,649195,626892,-1,483319,-1,-1,767389,957773,660089,-1,-1,545552,-1,910909,39417,693385,897403,113314,-1,-1,231317,-1,-1,-1,621507,48443,-1,-1,831053,-1,765408,88927,727858,224164,404128,-1,-1,469352,889688,741226,-1,17996,713015,463347,502089,223690,-1,-1,-1,-1,-1,-1,-1,408438,88746,-1,517350,-1,122286,136272,-1,-1,342087,-1,-1,-1,-1,364872,-1,-1,-1,-1,24866,-1,442197,-1,-1,-1,-1,205918,-1,-1,-1,552874,463411,722032,-1,298724,-1,-1,-1,36304,-1,195409,393207,-1,-1,149658,353474,-1,-1,-1,434006,775955,-1,327532,-1,8738,541056,839843,857999,928091,227791,-1,-1,531323,-1,-1,898625,437545,978683,-1,-1,215458,-1,26571,-1,973343,-1,-1,-1,-1,-1,921093,627031,447896,-1,101873,-1,-1,-1,951427,279975,-1,-1,-1,696100,462174,449558,-1,473225,264372,184885,626907,-1,281199,-1,502077,-1,-1,739751,-1,-1,337896,897977,153,571251,-1,-1,89797,516151,175250,700817,584661,-1,39994,-1,546597,850915,-1,209722,-1,462352,256742,-1,-1,707190,-1,929540,-1,491014,-1,970076,878057,451567,-1,523807,-1,82759,848627,-1,892108,413448,-1,-1,607091,766995,-1,-1,399158,-1,-1,46775,489533,955141,-1,-1,-1,796947,-1,-1,454186,-1,194411,946687,551385,-1,-1,897223,515166,322107,806855,681767,869331,-1,969884,-1,-1,375332,118282,-1,448090,263734,366765,-1,-1,264919,-1,21868,428438,98689,-1,668859,630232,-1,361252,-1,691288,-1,-1,427719,-1,-1,-1,280510,522297,703965,268600,-1,-1,215843,631681,-1,719429,-1,524724,-1,608257,668425,630459,-1,251527,-1,637626,-1,977875,84695,773462,485466,-1,556695,-1,791182,-1,101764,219751,497177,-1,792131,34993,-1,-1,-1,-1,-1,117493,186986,-1,-1,577402,-1,-1,-1,-1,-1,-1,-1,-1,463133,-1,867102,144519,148924,809968,-1,-1,988007,128153,234041,-1,-1,154274,434408,266399,-1,422377,-1,-1,362773,508642,-1,-1,941557,-1,-1,939153,-1,-1,95171,383556,805756,403360,-1,274601,-1,179802,-1,439126,947027,303515,-1,-1,951770,933092,443944,967119,286909,-1,-1,-1,706794,122280,708446,413411,-1,652512,370918,-1,-1,-1,761747,759178,-1,-1,-1,854755,618317,334531,105370,210485,-1,-1,-1,424379,-1,-1,-1,319243,-1,-1,781620,-1,-1,-1,621379,-1,-1,-1,918510,-1,908841,470294,616198,669939,915641,-1,-1,-1,775426,-1,-1,-1,75110,-1,446696,846521,-1,-1,291039,-1,727431,19462,-1,-1,-1,-1,-1,-1,-1,-1,913896,-1,361868,-1,-1,804018,470778,337776,-1,686612,321457,-1,541321,646325,-1,712673,166387,303342,359183,891000,407958,-1,-1,986197,28954,-1,113925,-1,128989,-1,-1,-1,591077,617227,604056,-1,467159,-1,192836,163333,-1,56077,-1,-1,-1,-1,564006,-1,-1,-1,495668,-1,-1,-1,659143,-1,322405,-1,-1,-1,22414,75714,958987,-1,903652,-1,243521,-1,844674,713813,-1,-1,164195,-1,557514,122224,477989,-1,801030,223626,-1,642667,62212,821002,287520,51497,858794,160599,452519,-1,-1,-1,236571,-1,163434,273656,709200,305779,-1,-1,603050,998826,-1,-1,832822,57532,-1,-1,691352,12422,-1,726243,-1,440822,463624,-1,-1,719103,-1,701611,819319,-1,-1,-1,-1,861855,-1,481551,269175,-1,-1,404376,-1,157691,-1,-1,-1,-1,-1,-1,-1,113025,-1,-1,-1,-1,701271,-1,273337,-1,-1,-1,-1,-1,-1,267946,-1,897370,-1,-1,-1,496346,329304,63077,-1,881952,228085,954652,564955,976939,659621,369250,-1,97099,-1,-1,490096,-1,947810,748847,-1,915453,945369,973519,-1,-1,88997,273222,512213,-1,896021,194956,37752,581547,-1,-1,-1,526898,275655,711186,856253,-1,12011,-1,835999,-1,-1,394161,978670,-1,92374,12589,785220,-1,-1,-1,267013,116500,752212,215040,-1,886150,-1,296098,850208,813469,-1,-1,165549,635223,-1,-1,-1,822501,-1,-1,917551,293247,233573,822403,654257,-1,922226,790298,-1,64488,-1,-1,261210,123948,-1,-1,794852,-1,149163,-1,934073,-1,283130,-1,-1,-1,956114,876135,856424,-1,463440,461717,-1,314649,733901,-1,-1,234369,339237,6328,703059,481226,479393,8172,629804,126589,277259,308380,-1,-1,692453,-1,-1,311483,-1,-1,293639,-1,-1,-1,-1,503631,719660,-1,686905,530557,857545,626434,-1,-1,572695,-1,761425,-1,430097,-1,-1,947093,-1,-1,-1,879005,-1,-1,151526,823360,-1,-1,-1,513929,870382,671463,-1,-1,-1,-1,223093,-1,328674,483299,215295,-1,-1,372247,594100,309912,118220,556776,338004,-1,-1,-1,797985,687120,-1,431589,966578,427127,-1,920808,928974,629269,-1,881820,-1,496985,-1,-1,423293,-1,476270,-1,549809,107784,-1,-1,120292,695805,474815,-1,-1,251563,683125,-1,378491,841779,284584,-1,436271,-1,711805,539116,-1,-1,-1,655059,-1,-1,9718,95131,417892,195090,-1,-1,-1,536966,-1,306028,-1,445165,-1,-1,-1,-1,-1,-1,37650,49076,-1,-1,878022,-1,522960,822007,-1,-1,827895,280481,-1,26603,235010,580166,-1,-1,-1,235740,-1,-1,709864,-1,-1,-1,612337,253667,785694,974690,-1,72545,326960,739710,-1,145707,-1,-1,599620,9635,906445,863533,646460,-1,-1,-1,-1,350958,-1,-1,485724,853275,565828,-1,684240,416395,823244,-1,155703,-1,932258,-1,-1,642207,-1,-1,56414,-1,-1,322865,48068,730180,-1,689195,-1,-1,728630,25159,735208,-1,225917,-1,-1,-1,78747,-1,836353,308382,-1,-1,-1,738691,154642,-1,-1,-1,-1,799940,136176,303253,-1,588975,214531,631297,584714,-1,-1,102622,-1,-1,804279,-1,760449,-1,172647,86606,-1,124020,-1,-1,-1,501205,-1,286343,198368,-1,-1,22599,-1,579331,-1,-1,208417,18207,-1,507945,498713,743309,862904,957683,-1,-1,579645,-1,-1,209348,514339,123002,54728,925902,447629,-1,243721,-1,939666,147617,-1,-1,9315,879643,767574,426838,-1,-1,-1,-1,535418,115758,803003,71392,-1,502577,112523,998662,-1,316136,83567,-1,854634,469415,964619,-1,-1,-1,-1,47626,-1,-1,-1,756936,170198,-1,-1,-1,430160,-1,550970,994354,-1,-1,332598,339700,-1,695032,171521,255162,-1,-1,470509,-1,539139,-1,901852,-1,626009,393771,-1,-1,613855,-1,-1,181846,656049,710045,-1,-1,844134,160528,116443,649049,229441,560389,352183,-1,962380,-1,-1,779303,-1,297485,-1,-1,420744,89438,-1,-1,-1,-1,844458,-1,-1,-1,508753,439049,95531,925347,-1,-1,538335,-1,740648,771419,-1,858193,109453,195806,565844,944764,-1,-1,563918,129421,-1,863319,-1,-1,415262,-1,-1,-1,572738,380258,461188,972607,647049,404720,-1,614786,538043,-1,-1,-1,-1,-1,106846,355244,524088,739786,212035,79006,-1,840585,100881,-1,-1,-1,-1,892603,264380,-1,494002,-1,-1,-1,-1,-1,-1,-1,-1,253207,293092,-1,308139,-1,-1,393075,-1,804265,742501,-1,-1,556037,-1,-1,-1,542361,-1,481394,218152,51481,-1,-1,-1,866161,-1,245930,991421,533372,-1,-1,873118,746686,981533,953343,603719,-1,-1,105253,273858,-1,-1,625277,-1,-1,-1,-1,-1,681158,-1,441267,-1,91307,375338,349136,730837,791365,828040,576381,-1,-1,253984,-1,-1,-1,573756,-1,-1,650761,506216,-1,924398,551494,775718,-1,499822,-1,-1,-1,683530,685337,168988,422570,662942,-1,-1,698563,566254,-1,-1,787424,-1,967716,962443,105234,-1,-1,146268,-1,475347,-1,812477,-1,477772,440502,770395,-1,954932,-1,-1,-1,247726,-1,323849,-1,924658,845459,-1,-1,258071,-1,-1,-1,30206,-1,265543,-1,-1,45978,-1,102561,681007,421385,-1,378542,-1,396836,-1,30729,-1,-1,119216,-1,-1,937231,-1,407415,897240,801600,731191,269430,-1,-1,-1,-1,775377,488315,289732,-1,68726,617591,496268,-1,-1,-1,49647,-1,-1,926586,297271,844281,77298,723000,197912,-1,-1,217465,50682,-1,-1,811671,-1,-1,500735,-1,-1,-1,-1,-1,-1,-1,201253,972881,561391,927354,-1,-1,-1,177681,-1,794982,-1,-1,-1,515605,579385,544225,288133,-1,990369,555597,847908,455200,-1,-1,-1,436593,420119,836106,-1,-1,614431,791245,-1,298481,418444,-1,-1,-1,94975,-1,-1,240458,357040,-1,562970,5716,-1,494923,-1,376096,-1,-1,-1,687801,612326,-1,-1,243090,-1,711931,-1,783744,814245,-1,-1,59898,402850,-1,-1,-1,-1,-1,317148,-1,-1,57139,925503,577045,763630,-1,-1,864706,-1,377404,694052,472781,-1,-1,-1,548795,154490,547870,792327,-1,-1,846455,-1,895471,435528,46493,-1,-1,-1,-1,62046,791277,457684,247691,872585,825381,897062,-1,786458,966443,231946,-1,-1,-1,-1,-1,471028,821306,-1,-1,-1,210566,316222,983952,-1,-1,845503,714024,811532,-1,584416,894793,298344,-1,512475,70770,619518,-1,402455,-1,912864,-1,-1,72497,-1,-1,-1,-1,530759,-1,-1,161651,612230,361475,700754,-1,-1,820981,-1,550827,-1,685137,139158,222644,40749,-1,-1,53590,25353,-1,810356,821537,-1,-1,583258,755819,-1,-1,-1,-1,-1,484258,-1,816145,-1,-1,-1,-1,419739,468848,-1,529635,-1,469771,445348,588825,-1,-1,379771,-1,-1,205838,-1,578072,250963,-1,-1,364528,318604,-1,959904,-1,-1,918695,-1,-1,748189,287811,672057,-1,-1,-1,375391,-1,-1,456571,301153,784991,-1,-1,43972,464552,214837,-1,-1,28528,-1,447065,598074,282425,-1,-1,847745,534185,-1,295832,769327,246908,-1,439556,-1,265827,489102,601885,703242,-1,-1,-1,283118,372955,187631,-1,586888,519263,166367,-1,974368,-1,-1,813166,372421,-1,349599,275591,840575,141165,303735,-1,-1,-1,-1,944515,422270,231066,294456,-1,968388,-1,-1,871238,190613,-1,-1,-1,-1,957694,-1,680089,298736,981221,-1,226630,-1,716699,-1,-1,-1,-1,134509,80310,-1,128455,298029,697027,115597,513654,-1,-1,153611,529428,982708,-1,521492,162271,-1,-1,-1,299270,485016,-1,-1,383749,-1,46252,58647,927232,-1,330923,-1,99548,-1,-1,283886,-1,-1,-1,683276,573977,200379,201100,-1,-1,605000,344939,-1,-1,338172,500288,551060,67160,-1,266473,354287,-1,896786,273905,286190,103805,-1,442473,224673,-1,-1,-1,201095,836578,448320,-1,41108,844407,-1,138449,458697,128136,-1,-1,-1,809167,-1,429547,-1,-1,-1,-1,-1,298577,-1,-1,700758,-1,-1,-1,173523,-1,686844,328241,-1,701315,-1,581249,-1,299316,-1,683217,206120,171103,-1,-1,735039,693452,828435,389066,-1,-1,-1,-1,396269,241292,-1,-1,930085,-1,175875,-1,817804,-1,796075,-1,-1,-1,-1,405477,484503,598922,248092,534869,590318,446267,-1,748862,-1,669004,-1,582627,-1,-1,928955,402178,599442,220841,276028,-1,109642,-1,-1,-1,858981,459960,232480,99265,-1,-1,-1,685828,-1,390205,-1,641377,838062,356823,901097,158636,231033,-1,941232,653855,-1,343121,748162,-1,635757,334875,-1,-1,805666,-1,-1,-1,-1,-1,979921,-1,-1,-1,272711,-1,-1,-1,676958,946539,-1,-1,266384,672155,96847,884651,644208,-1,-1,645039,-1,-1,619296,436168,284227,832007,432053,-1,-1,-1,-1,-1,630671,207548,706558,-1,39972,-1,861339,651106,122116,14324,-1,-1,424851,-1,930258,-1,646632,115425,-1,166717,-1,-1,324351,916509,281086,-1,60170,348861,625147,-1,-1,-1,679784,-1,242712,19169,-1,-1,-1,515483,682782,-1,-1,-1,203940,-1,-1,746292,-1,477010,-1,-1,897763,512706,-1,348129,261498,387625,-1,18777,851401,950068,430836,-1,573712,104491,-1,-1,-1,984642,-1,-1,348842,930401,-1,701016,266462,-1,181732,383958,-1,165475,-1,-1,-1,-1,-1,-1,348412,-1,-1,319666,527168,889245,-1,-1,373878,-1,-1,-1,526214,-1,-1,-1,886369,653410,507973,-1,152266,875075,992791,-1,-1,353651,485822,251516,713170,-1,558904,-1,806942,516809,282282,901479,-1,490990,-1,-1,-1,156994,756923,925708,358785,813339,-1,192441,405888,437829,-1,433838,864793,-1,909635,-1,-1,159761,-1,-1,-1,-1,565105,-1,-1,716649,-1,-1,-1,-1,-1,301341,-1,858640,4403,-1,759064,-1,-1,-1,-1,-1,311481,-1,-1,584753,425251,151927,433552,377436,-1,-1,-1,992373,316712,-1,-1,175889,-1,765673,-1,466442,315690,6632,951526,786818,850605,937152,-1,33048,288082,846970,-1,13035,850826,314139,-1,-1,-1,525243,344508,-1,-1,79686,792809,259330,59850,-1,-1,780323,125121,-1,579522,-1,587831,-1,-1,-1,92238,605588,127661,-1,-1,-1,-1,-1,61064,-1,-1,-1,504714,53866,-1,422045,954024,745226,-1,864527,530466,805486,762301,314524,-1,-1,784789,604410,264385,-1,-1,-1,-1,718790,-1,573261,-1,478955,-1,301165,-1,890855,994094,219856,-1,-1,978372,845959,-1,184145,-1,735720,439849,-1,-1,741281,-1,521782,-1,-1,-1,-1,-1,-1,852413,612551,-1,-1,869935,636499,-1,-1,576440,371620,-1,-1,-1,484770,529117,-1,-1,-1,191633,663958,234217,150624,760296,690817,377651,147521,-1,-1,856522,-1,230356,-1,-1,963426,226730,644952,292544,-1,-1,-1,413194,140088,-1,-1,-1,661778,944062,-1,716290,-1,229633,964208,74692,29328,-1,-1,547100,-1,38752,-1,356535,-1,-1,173829,994536,-1,-1,-1,-1,-1,-1,536975,557693,218149,443580,-1,536895,636464,979557,463727,243672,-1,750965,108505,659719,-1,661001,574517,623430,-1,-1,214840,691117,-1,453085,860083,15278,-1,450486,565943,167807,-1,180295,-1,-1,-1,-1,-1,301738,-1,622739,319696,-1,-1,-1,549551,-1,-1,702243,465365,810697,-1,-1,539943,-1,-1,-1,551045,-1,-1,595331,-1,-1,891636,-1,-1,-1,-1,-1,198702,-1,434319,-1,-1,153095,827219,-1,-1,649697,248630,-1,357448,-1,603464,-1,-1,-1,544324,-1,-1,-1,922609,-1,-1,-1,-1,-1,-1,-1,461089,889384,681454,490933,-1,-1,-1,199188,903065,-1,-1,590246,-1,-1,-1,438496,910609,321702,380891,-1,663555,-1,-1,-1,-1,-1,-1,-1,172517,961929,-1,735061,952990,-1,-1,736672,671015,-1,-1,-1,787198,110576,-1,-1,-1,-1,407650,362006,915502,-1,-1,878394,951547,-1,-1,639432,-1,-1,447603,735499,432499,-1,819056,627218,727572,-1,39960,992424,38529,-1,-1,360260,-1,-1,-1,-1,-1,786091,506134,-1,-1,166521,-1,-1,-1,-1,-1,183985,-1,-1,989168,637601,387129,929971,444102,218865,-1,-1,-1,-1,537533,-1,339682,416983,921807,-1,158190,-1,-1,-1,309063,715358,-1,-1,-1,966394,-1,-1,785152,221419,-1,-1,-1,422504,62383,248707,-1,-1,-1,-1,-1,-1,82018,-1,630575,4431,289959,97517,87388,165660,-1,76514,254553,-1,325804,-1,-1,171672,496509,-1,374509,-1,-1,-1,859373,-1,767336,-1,495001,194294,-1,-1,-1,-1,569566,572482,-1,-1,296516,769384,-1,500003,-1,-1,-1,723349,673506,407696,544954,454972,197824,8468,-1,-1,393159,900831,-1,-1,-1,412814,750056,-1,-1,-1,-1,996944,-1,-1,784285,921334,-1,904117,-1,-1,-1,-1,-1,710862,-1,-1,-1,-1,-1,-1,362135,482467,631878,-1,414279,914041,965226,-1,613550,-1,-1,-1,253271,558691,281575,-1,512843,259943,-1,914335,-1,-1,529349,758352,-1,941947,596012,-1,484383,-1,-1,-1,13123,-1,590282,-1,148662,-1,465997,61283,352339,-1,-1,-1,689045,24098,383797,662606,-1,851084,566064,-1,-1,17802,-1,321867,-1,215086,936656,354788,-1,645783,720996,102393,-1,-1,-1,-1,-1,-1,865202,891891,-1,615464,653471,-1,111236,-1,-1,-1,-1,562829,-1,109778,219645,-1,-1,-1,430800,-1,830339,-1,-1,-1,303028,-1,-1,414398,167180,-1,-1,399282,456730,-1,348834,-1,-1,-1,-1,978291,63086,253112,357253,360029,855700,-1,583189,724008,666668,889288,-1,-1,480640,-1,-1,-1,576147,-1,436638,530098,-1,900452,554841,-1,236014,-1,-1,209297,87749,-1,819262,186665,-1,-1,667335,-1,515735,-1,736761,856901,-1,-1,684758,58553,314736,-1,300611,-1,-1,705158,406196,-1,-1,70736,783009,349019,572787,93453,876167,312852,673535,-1,-1,-1,-1,-1,678883,521111,-1,-1,991721,-1,-1,-1,-1,584036,606272,-1,-1,-1,-1,-1,15581,-1,875914,292125,487928,-1,-1,-1,-1,918406,-1,-1,-1,-1,850745,882475,70348,-1,-1,265709,-1,-1,8420,-1,782853,915723,680588,-1,248261,-1,-1,125756,900105,842246,-1,199088,-1,-1,407982,718322,-1,-1,-1,-1,-1,-1,-1,168477,-1,844902,-1,-1,538215,-1,-1,-1,-1,-1,588662,-1,88837,416085,379976,786999,-1,-1,-1,-1,-1,143133,571088,-1,-1,850743,557686,-1,-1,-1,721368,70488,-1,-1,807613,-1,259649,-1,238890,-1,-1,-1,727078,-1,398690,892228,910793,-1,923841,-1,492222,211464,175306,926986,7108,-1,-1,-1,969004,-1,592408,-1,712454,721486,390104,-1,749231,-1,-1,869509,238625,-1,462370,-1,-1,-1,-1,-1,-1,334459,-1,-1,797598,-1,530845,520158,-1,-1,107045,19425,-1,-1,711588,834789,335032,-1,240157,245681,296893,516471,-1,-1,836000,341104,-1,383504,369431,-1,-1,470203,750873,-1,-1,31886,335864,995886,203597,-1,221748,653051,-1,-1,-1,41398,293534,-1,-1,-1,390934,860,-1,881505,4137,-1,698874,-1,835335,-1,738984,-1,-1,-1,670673,29188,-1,-1,822966,15262,112099,-1,206640,518431,-1,520301,-1,-1,445672,536485,595661,-1,61515,1066,299844,-1,491627,-1,298523,-1,437509,856625,661267,557624,479245,-1,761711,-1,-1,-1,-1,80555,-1,-1,-1,576586,792644,835722,770328,-1,821176,-1,-1,994370,-1,-1,-1,-1,278856,205820,307312,-1,-1,-1,-1,680287,-1,755328,-1,-1,791597,440234,320644,939202,398703,-1,-1,449074,34565,-1,-1,-1,-1,679416,-1,524267,471735,-1,-1,-1,706233,-1,-1,872539,-1,681537,80272,701711,-1,-1,613190,262371,75776,176098,-1,-1,-1,-1,-1,-1,113070,425336,572458,-1,-1,7976,871292,46710,889292,-1,-1,214512,-1,-1,964676,957150,-1,407288,474732,37659,-1,600086,118312,-1,-1,-1,-1,-1,-1,-1,-1,-1,580983,-1,123362,-1,-1,75764,-1,-1,-1,304314,374777,169640,-1,-1,619165,218413,-1,-1,-1,620159,217235,-1,588592,539760,265719,86345,499928,497169,-1,669187,-1,293229,254196,-1,936272,-1,525649,-1,-1,-1,706678,-1,809286,-1,-1,-1,-1,45547,212760,-1,-1,254492,68464,-1,884237,106361,-1,470529,245340,572765,-1,-1,553582,-1,402484,705574,915743,-1,-1,826491,-1,581269,562108,712989,74180,-1,-1,851731,-1,-1,195211,774427,902651,-1,510625,643860,-1,-1,772016,-1,-1,575711,947431,933464,918331,-1,-1,-1,-1,-1,-1,-1,841794,597048,324144,227530,-1,-1,-1,801331,422697,-1,-1,-1,521167,992181,-1,-1,-1,468712,-1,-1,-1,740860,-1,776595,434343,-1,-1,-1,-1,779058,-1,-1,-1,-1,586349,197864,-1,917467,392603,-1,-1,821441,-1,-1,-1,917928,576635,-1,72374,775189,107321,78234,618658,-1,945456,489674,-1,453375,423807,862223,-1,-1,810670,-1,120133,-1,7274,5764,-1,-1,-1,-1,385468,-1,73419,509153,-1,320140,548231,-1,619463,-1,-1,97762,930179,-1,-1,-1,-1,979544,-1,956495,113802,359049,647023,-1,-1,-1,-1,-1,-1,-1,219661,-1,233120,786877,-1,706882,230000,733826,-1,621204,663378,494722,-1,-1,-1,246033,265268,594554,550624,253,-1,-1,269736,-1,-1,459594,-1,763961,-1,632613,784570,408979,259847,-1,642539,800029,-1,535166,-1,-1,174814,-1,-1,515339,47072,320516,854687,333821,-1,-1,721261,-1,-1,-1,-1,476629,754326,57448,-1,-1,116658,425879,477322,-1,654529,11937,532776,-1,-1,-1,784795,559966,761727,188200,-1,-1,-1,908625,962504,536286,-1,-1,264544,764224,-1,908182,-1,950276,-1,260354,-1,-1,34081,-1,-1,608595,853200,-1,-1,456372,697912,-1,-1,-1,106338,711887,390537,947953,248863,-1,23980,440596,157720,-1,-1,316912,-1,-1,432743,-1,911943,-1,418794,-1,704470,-1,-1,77868,-1,-1,-1,172729,801715,213473,286696,516940,858085,44395,-1,925001,-1,-1,-1,-1,-1,-1,-1,516286,754863,173257,791685,-1,-1,861250,-1,443256,341056,436459,-1,49209,133674,489556,-1,872668,341198,413618,-1,-1,-1,661885,682868,667419,-1,-1,695207,-1,-1,-1,-1,-1,954154,-1,614261,33040,816416,-1,-1,-1,-1,150153,223777,-1,661365,15442,673887,727585,515946,-1,-1,510621,37455,196374,994514,261316,-1,635696,-1,33147,-1,-1,-1,-1,-1,-1,-1,-1,625418,-1,900850,-1,562391,769093,245484,259544,704817,596772,191385,275520,813308,-1,306562,-1,-1,-1,-1,843101,-1,624441,-1,-1,-1,476456,-1,-1,538544,-1,103680,643918,-1,149678,663037,-1,-1,-1,358246,91874,201743,851404,-1,568896,-1,490884,-1,141327,797080,-1,107208,-1,894301,941157,701379,-1,-1,675734,-1,835838,-1,175088,-1,-1,649586,898297,-1,-1,-1,-1,875771,966469,-1,873880,-1,-1,-1,431945,17831,689563,-1,-1,-1,-1,10672,36151,-1,-1,-1,-1,-1,-1,-1,153048,-1,456207,-1,-1,527143,322026,250054,934269,-1,759454,-1,-1,-1,855756,-1,-1,-1,-1,-1,-1,712514,-1,971074,514107,360641,-1,591004,-1,41485,358728,-1,652917,205468,-1,-1,-1,-1,-1,298456,819981,788614,-1,-1,-1,844551,-1,621690,-1,674782,-1,-1,843255,26954,743095,387856,265221,697339,284753,-1,-1,115083,-1,439693,221049,-1,863280,-1,655208,631084,918439,-1,253433,-1,-1,863744,-1,-1,-1,687236,-1,-1,-1,86481,772848,-1,592580,645576,610481,-1,-1,211133,429524,-1,552665,496877,206387,-1,-1,345507,699182,-1,615170,460299,322886,906337,-1,-1,-1,46681,356219,-1,-1,514652,722086,-1,-1,844682,419642,484263,-1,-1,127954,-1,-1,951000,677231,-1,97393,-1,-1,-1,-1,149830,566649,-1,112186,422299,47381,-1,631377,-1,274963,-1,54992,-1,791084,530706,-1,-1,28095,650442,43851,472638,-1,8553,-1,-1,-1,-1,432227,746944,-1,-1,975195,-1,-1,15864,443096,-1,-1,-1,-1,201733,-1,627215,-1,-1,-1,503695,905727,433969,165528,395444,-1,-1,-1,486018,837193,525942,92983,303658,-1,-1,-1,653109,-1,-1,-1,-1,652147,-1,55898,941193,-1,-1,-1,-1,-1,463596,-1,-1,-1,-1,72506,-1,184942,622185,135321,144735,687044,214003,-1,120840,554967,699711,349348,-1,912281,-1,919685,878784,-1,-1,6164,182706,-1,-1,-1,112043,-1,-1,591621,-1,365070,-1,-1,156601,-1,-1,983194,-1,-1,-1,-1,391556,-1,-1,546758,533145,-1,-1,267926,-1,-1,-1,-1,-1,-1,-1,-1,205139,-1,-1,655750,692797,-1,234323,171207,190541,800387,-1,-1,45568,-1,499861,564932,-1,-1,-1,-1,-1,939837,831119,927738,-1,-1,273358,106239,-1,-1,-1,462314,-1,78972,-1,-1,488772,649150,812844,140118,710309,-1,-1,833005,922821,-1,-1,150263,-1,-1,285010,-1,-1,799997,594704,-1,-1,931918,-1,-1,744083,528803,67354,-1,650881,815424,865323,-1,-1,760203,998762,-1,536092,-1,10179,-1,327315,693344,816810,880443,-1,-1,-1,-1,370690,-1,951336,-1,-1,-1,174499,-1,567371,-1,-1,861852,609881,-1,859968,253378,-1,-1,234593,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,900583,881749,-1,-1,613933,138053,-1,753163,297466,581318,329404,-1,201707,350529,-1,-1,-1,511504,644902,415386,336295,-1,-1,-1,-1,-1,568080,184512,-1,810725,-1,-1,-1,533532,622395,-1,917287,-1,679762,189767,650386,89353,128921,993547,835142,625340,824534,241463,607713,-1,900240,472198,836823,-1,257244,-1,-1,279362,807667,-1,-1,632325,-1,305817,-1,-1,440160,791075,-1,578423,-1,458456,-1,176979,-1,542832,-1,-1,58306,134573,516541,-1,302947,-1,-1,789175,225295,-1,-1,775183,-1,-1,-1,125666,-1,603894,81570,829291,212500,-1,224473,3894,-1,272123,411305,856768,766244,181134,914903,-1,411562,-1,716585,864108,939157,842834,269455,-1,-1,882462,-1,825528,-1,-1,-1,-1,-1,10195,401999,-1,557476,971788,618980,78159,558358,807124,-1,-1,511222,-1,475411,-1,739615,-1,889500,782151,-1,-1,-1,-1,878177,-1,455365,-1,-1,448139,-1,-1,-1,-1,248790,-1,822471,-1,954203,899285,-1,953673,-1,-1,47554,-1,-1,-1,96715,188187,458936,12740,833515,-1,347973,872798,-1,-1,-1,581918,705360,571102,-1,-1,-1,-1,-1,811504,566872,410862,98184,417212,715720,365388,251998,-1,-1,-1,986632,-1,-1,-1,-1,-1,-1,-1,-1,905990,-1,-1,771270,-1,-1,44695,641163,487353,-1,167731,192264,-1,973018,-1,-1,-1,-1,137538,-1,-1,-1,839424,-1,765523,-1,487781,721506,-1,-1,-1,-1,-1,254606,899217,-1,-1,-1,-1,-1,566299,84582,951833,286133,589290,-1,-1,437292,338196,774531,654158,342184,-1,80306,69365,169566,515697,336837,-1,-1,-1,-1,-1,-1,547747,936956,512789,225571,-1,-1,792961,578428,148985,-1,-1,101168,169298,-1,-1,-1,-1,42174,59461,-1,596976,-1,-1,-1,682790,177128,-1,719113,-1,-1,-1,-1,-1,909983,-1,-1,-1,-1,-1,735976,-1,-1,213350,887226,688318,-1,636954,-1,-1,830946,120559,-1,-1,-1,521322,619645,911865,-1,-1,248220,65703,-1,-1,-1,-1,-1,-1,-1,19222,-1,160207,254708,825026,650349,993203,318790,861468,291661,594828,287579,-1,-1,-1,-1,978976,633097,517889,132794,308609,-1,547844,902244,-1,-1,102882,164080,204951,907729,-1,321910,921017,-1,-1,927672,-1,-1,-1,-1,801383,41664,-1,-1,618038,837626,642436,474119,26248,401677,-1,838061,264374,674431,-1,269185,340247,890929,340351,10474,247681,153802,-1,531743,-1,475532,-1,-1,-1,-1,451303,-1,171413,-1,-1,702334,-1,249102,-1,518370,-1,-1,-1,-1,-1,390209,981994,996423,913164,-1,-1,334878,-1,-1,87829,990856,-1,122027,549153,747620,718097,-1,-1,782463,-1,-1,645300,-1,756235,269694,-1,143089,145325,-1,695499,272433,741901,486339,531866,752403,-1,443155,115217,234435,989111,-1,-1,510393,534187,-1,115718,378497,737068,-1,269034,-1,-1,-1,786045,-1,696958,492707,384143,-1,-1,-1,244026,-1,76183,-1,-1,245832,930078,202354,745018,-1,881855,476479,-1,388365,712331,-1,-1,654237,674425,-1,194358,-1,-1,493519,-1,-1,267389,-1,-1,-1,-1,991279,-1,-1,-1,35421,179042,-1,684602,-1,-1,603445,496570,-1,-1,-1,541691,-1,-1,-1,-1,-1,731288,-1,-1,104967,-1,852504,-1,927470,942687,-1,-1,-1,286531,-1,-1,584359,-1,-1,-1,559810,-1,180095,-1,941567,-1,629812,840666,-1,589345,652561,332388,702353,544559,-1,-1,-1,-1,-1,910767,-1,-1,499073,-1,844380,-1,244516,-1,298837,-1,-1,103716,596672,957812,-1,-1,-1,253042,420940,-1,628851,192668,-1,-1,-1,-1,-1,-1,-1,366982,-1,-1,-1,588264,-1,-1,-1,487444,72004,-1,879194,-1,286799,-1,363493,990987,-1,52299,-1,424211,-1,-1,-1,-1,593014,839977,-1,860038,309467,-1,673055,187071,862802,877060,-1,852888,974439,717549,103113,65173,-1,-1,458273,238515,-1,135501,-1,-1,-1,-1,889551,112866,-1,27036,-1,135970,552101,715035,216327,480782,-1,524758,341008,900296,-1,885788,973503,86568,-1,-1,928854,-1,758654,-1,-1,-1,537171,-1,-1,-1,271511,53295,269855,442804,147297,981501,-1,390190,130804,546092,635112,54344,-1,83312,279996,501708,-1,-1,442233,6276,112555,858568,952892,-1,-1,-1,442888,-1,2502,130760,-1,-1,464548,-1,476633,597153,794158,84693,59621,504462,-1,740084,474417,886002,33347,-1,-1,825215,-1,-1,-1,-1,312167,794754,915189,351202,490836,782161,759496,33149,534450,665495,118147,-1,-1,276905,-1,943210,-1,727963,-1,883982,-1,-1,403061,622455,-1,-1,-1,-1,-1,239988,-1,848156,-1,-1,125653,282299,961905,-1,-1,-1,-1,482623,689837,-1,545553,434857,-1,952594,-1,-1,154404,-1,-1,649072,633563,940248,402515,768330,-1,401824,-1,275013,107583,-1,45428,-1,-1,-1,-1,138769,527417,-1,802548,476163,118445,-1,939862,-1,-1,-1,719074,-1,901474,-1,589608,-1,-1,-1,521520,854599,-1,-1,152725,876989,-1,-1,-1,-1,-1,183332,-1,608473,137398,659887,367640,-1,377742,-1,-1,-1,-1,-1,-1,260607,-1,-1,-1,234495,-1,677508,227690,578487,-1,174287,-1,-1,-1,504866,294314,970755,-1,-1,-1,-1,-1,732701,573085,43170,-1,82987,361793,160976,591179,-1,-1,-1,-1,629191,686340,718565,-1,663423,218336,-1,756907,449474,-1,369156,-1,239354,360061,-1,753909,894533,-1,-1,598908,235118,-1,-1,540939,-1,-1,-1,256225,-1,-1,40215,-1,-1,400830,-1,-1,-1,345874,735429,886342,431372,-1,442345,102862,-1,-1,-1,174609,-1,-1,594839,-1,-1,-1,371707,-1,593311,-1,777497,403016,710313,-1,-1,-1,-1,465508,-1,298832,410158,-1,971509,-1,304714,747021,-1,273976,814544,652142,-1,-1,814816,486334,180579,647535,-1,494717,645600,405695,-1,300059,-1,-1,177915,878503,-1,-1,-1,437786,956202,-1,898979,549765,-1,848950,84691,991230,278753,-1,-1,54954,599796,712922,553237,856405,-1,73255,-1,-1,-1,748363,612599,-1,595971,928019,474013,664545,-1,886855,-1,-1,928715,438532,490744,-1,-1,78547,813753,857270,407366,-1,-1,611006,-1,361978,492273,-1,-1,685573,-1,521761,-1,-1,447775,-1,-1,977094,-1,-1,-1,-1,-1,620592,158129,850431,-1,815402,-1,-1,542334,-1,521934,885624,-1,838970,328553,-1,-1,623469,-1,984471,-1,-1,-1,808874,-1,-1,-1,-1,109729,96382,-1,341066,-1,-1,-1,-1,-1,495719,126009,365622,483136,-1,908569,-1,568422,-1,-1,35132,592817,-1,-1,412804,-1,209212,-1,864367,-1,291028,902771,554627,947901,-1,-1,341877,-1,413759,796600,263799,-1,-1,202526,-1,-1,-1,-1,-1,974729,-1,-1,-1,-1,-1,-1,808697,-1,349102,93048,461577,-1,997506,-1,802862,739031,928226,40230,-1,-1,322988,778314,-1,787306,924280,791749,432518,-1,-1,-1,-1,551925,-1,-1,160763,788954,926338,72952,638649,-1,552705,224016,-1,403189,917402,264594,-1,-1,-1,497971,-1,-1,232423,-1,-1,791807,-1,-1,156625,-1,-1,578653,784806,122690,-1,-1,-1,-1,394855,599188,-1,-1,143448,728178,452814,151185,-1,-1,8064,-1,458289,992760,-1,-1,467105,-1,251312,864372,-1,-1,75600,-1,983006,-1,778194,785806,197017,902901,-1,85366,-1,250897,-1,-1,828140,791669,32191,-1,-1,-1,531701,823683,369236,-1,202142,930643,492596,-1,55403,-1,677102,-1,629163,-1,243584,746317,888592,-1,-1,-1,391330,590788,-1,241885,108361,-1,958189,726754,-1,519760,-1,-1,-1,-1,993416,138584,340422,757530,-1,484675,892544,88749,-1,327811,366568,-1,251993,-1,200062,-1,-1,-1,766790,-1,320875,-1,-1,636286,842131,315667,-1,-1,-1,-1,777004,863185,-1,849509,325757,-1,-1,886951,500631,-1,676369,-1,-1,220998,-1,-1,900556,-1,362221,-1,491763,-1,172901,-1,-1,-1,260771,-1,-1,996724,848114,356254,-1,-1,-1,-1,-1,-1,62533,723653,-1,-1,-1,597132,666097,515726,731684,284550,724449,-1,-1,955181,-1,206661,-1,932869,-1,-1,586707,-1,-1,-1,-1,580247,842965,635247,-1,529952,-1,854336,-1,508301,-1,-1,759142,-1,-1,328098,-1,793607,452069,-1,-1,-1,-1,457366,-1,-1,-1,-1,-1,446936,280657,984624,-1,-1,-1,-1,822264,-1,773746,-1,658009,-1,248926,-1,-1,702024,-1,-1,-1,395438,911559,-1,-1,-1,-1,-1,394451,-1,464674,345448,-1,-1,-1,-1,267160,-1,848848,360368,661138,-1,733319,175252,-1,-1,742582,455821,-1,-1,911302,59608,627508,653112,-1,950141,77066,803262,940710,-1,701285,-1,-1,-1,-1,-1,689245,-1,-1,-1,217916,421706,-1,-1,874871,344143,677351,665294,-1,-1,706469,818157,-1,422580,38282,-1,351299,462748,28390,616409,769153,-1,-1,878109,-1,-1,636289,464514,-1,726541,484610,-1,416931,64992,863352,89141,-1,-1,-1,-1,-1,-1,-1,25887,-1,10801,144084,97495,615700,174946,33628,-1,556763,-1,822113,517351,995315,-1,-1,-1,700698,138,524472,112321,32773,171278,361163,999980,-1,-1,905650,69810,-1,-1,-1,-1,-1,-1,530816,-1,-1,212166,62163,-1,905031,-1,-1,941538,-1,32034,379277,-1,-1,-1,825182,-1,-1,696422,-1,345194,-1,232300,23886,-1,526949,43043,-1,385109,669491,-1,185862,699909,530303,645538,-1,791997,-1,119198,451389,-1,-1,52116,-1,609755,735180,-1,988907,-1,326336,-1,766407,-1,-1,-1,878593,758916,118896,104681,-1,93558,666424,-1,111244,-1,896013,-1,459667,30236,-1,-1,-1,-1,465653,-1,-1,237406,-1,560233,794600,774175,-1,782959,297666,976295,-1,-1,476529,-1,834670,637321,-1,-1,663421,-1,461548,-1,670253,926467,-1,-1,63778,-1,-1,122369,862580,-1,720800,717896,9664,-1,498810,-1,150574,-1,-1,-1,-1,228357,547964,-1,-1,791743,-1,-1,277528,278811,407644,252085,-1,16293,255448,-1,-1,62246,-1,-1,27822,511464,-1,940012,-1,286671,-1,-1,207272,-1,-1,173748,833247,129110,-1,352076,340010,-1,-1,-1,20982,336727,-1,683483,-1,413814,770638,-1,697383,-1,841145,562043,4036,-1,718292,-1,303623,-1,-1,-1,427365,136357,52984,-1,-1,983403,-1,466297,-1,272570,-1,-1,40051,-1,679451,801445,-1,725003,171545,-1,279784,383201,-1,-1,-1,960788,644166,610374,-1,878902,-1,-1,-1,-1,716537,199550,367567,212533,-1,859663,383981,150804,1284,-1,271842,281640,-1,-1,831738,-1,87507,-1,-1,607916,988373,73329,-1,795245,-1,610709,-1,-1,-1,167453,-1,607712,-1,826135,585025,-1,-1,-1,-1,-1,-1,163113,-1,224323,-1,-1,367239,749852,-1,80973,-1,-1,-1,50987,-1,-1,247081,-1,-1,158195,731055,-1,933927,806798,646192,376718,-1,993452,365927,433087,-1,-1,-1,570366,-1,256356,-1,9685,402847,446885,393352,-1,-1,135206,-1,566257,-1,-1,-1,15992,915809,-1,-1,876469,252648,109775,817820,-1,956814,-1,-1,-1,-1,-1,-1,692287,106138,-1,315464,-1,853751,68365,-1,-1,-1,-1,-1,-1,332464,-1,899169,135860,777624,-1,495017,774607,-1,150633,485253,735408,-1,-1,408147,-1,489827,-1,-1,-1,691709,-1,-1,-1,885567,432095,146857,-1,155078,669752,-1,452835,50650,-1,922801,-1,543193,-1,-1,-1,498728,-1,839928,265012,-1,703086,-1,723641,730132,-1,-1,894936,724910,340795,-1,-1,735805,904594,-1,-1,-1,528855,-1,-1,-1,-1,928921,71056,479502,364332,967906,795169,785997,-1,595524,748642,427150,-1,687462,286105,301763,-1,-1,-1,-1,-1,15231,8362,-1,-1,754985,683150,778362,866152,600377,-1,-1,931480,800340,460388,597977,-1,-1,814674,-1,-1,-1,553029,-1,-1,324330,107669,-1,265271,-1,-1,734898,286980,-1,-1,400944,-1,411,252670,-1,-1,-1,-1,736688,-1,696823,832671,-1,-1,-1,729683,346763,843689,329188,-1,-1,6802,825137,-1,-1,-1,-1,662564,407841,749455,153495,-1,493419,575085,-1,-1,752189,568488,-1,-1,-1,252976,247729,137934,739286,645040,722568,-1,-1,-1,766633,769008,630743,843882,-1,-1,72233,702161,26678,-1,889635,544244,955750,253578,108745,921096,-1,-1,-1,514808,48984,631988,53754,260082,-1,-1,-1,-1,480774,-1,-1,-1,-1,-1,-1,-1,304247,296487,-1,-1,-1,-1,820514,-1,904983,649957,-1,-1,-1,340128,173937,-1,-1,-1,-1,-1,-1,-1,505001,-1,607727,-1,751350,43137,-1,-1,908814,93756,293050,-1,-1,481140,683009,-1,350357,-1,331543,-1,-1,-1,381275,924925,-1,-1,-1,-1,574608,785056,36654,428702,-1,-1,-1,-1,233918,-1,-1,-1,-1,-1,-1,374921,-1,561003,-1,578525,-1,706597,-1,781448,298235,981326,-1,-1,-1,889423,-1,565474,601091,-1,958335,-1,-1,919981,-1,132822,180559,842156,735762,713090,333572,528466,128861,-1,-1,-1,944951,770639,-1,873509,12938,364790,-1,651641,203864,391625,-1,-1,449079,-1,161956,-1,102279,-1,-1,-1,-1,-1,-1,534803,-1,992858,-1,-1,-1,165603,-1,545381,-1,824336,393664,561487,-1,217253,-1,-1,-1,780348,534078,783472,378020,-1,-1,-1,-1,60296,600223,-1,348515,194403,746122,187221,-1,-1,-1,-1,-1,17043,-1,-1,84476,-1,728095,839133,-1,376965,796323,398369,-1,707821,-1,391458,-1,-1,-1,825022,148392,-1,820710,103803,818535,-1,-1,749914,986475,-1,453008,-1,460756,742327,171627,198037,31331,32933,-1,302694,717451,913791,740247,463455,-1,-1,-1,580419,695206,-1,864156,-1,-1,-1,-1,-1,42857,-1,10111,-1,396753,671177,-1,-1,-1,244348,460134,582564,-1,206371,935306,828504,-1,360548,308199,659215,-1,-1,777948,-1,-1,-1,-1,402960,-1,-1,-1,98802,-1,677599,-1,708575,-1,-1,892664,429334,53359,-1,294654,987003,-1,454427,-1,851518,-1,-1,412857,381264,-1,-1,892428,396679,312499,274946,664072,587401,-1,739301,-1,155451,944632,-1,-1,-1,552575,-1,-1,-1,906480,270203,-1,-1,193045,-1,328555,467956,-1,-1,-1,11534,119091,-1,-1,892346,-1,-1,695047,-1,-1,-1,823000,685429,752169,-1,-1,-1,-1,-1,-1,-1,541355,-1,601539,587298,914668,352575,-1,261506,-1,-1,-1,117402,981271,891621,616086,-1,933359,-1,-1,-1,165218,716071,956775,215218,-1,305557,873572,-1,934250,166619,464858,-1,824516,-1,640227,105369,399431,167438,-1,850381,229215,-1,-1,-1,-1,-1,-1,822278,152593,-1,144475,325245,-1,694894,58888,34754,660443,-1,783610,170262,-1,-1,-1,-1,-1,980224,339754,-1,-1,-1,996221,154045,61874,-1,31870,561672,546873,657179,138474,-1,397044,838334,-1,-1,575776,-1,-1,249096,-1,311580,404298,345093,-1,-1,-1,-1,-1,-1,-1,532684,111382,-1,278475,837945,63497,615838,-1,-1,-1,-1,606184,850998,-1,420927,491969,-1,366159,276299,548543,952208,-1,315056,-1,-1,-1,408406,957699,-1,408050,39151,56438,500911,-1,164809,913138,-1,672949,-1,263449,-1,619890,-1,-1,-1,-1,-1,325918,27401,-1,-1,733705,-1,-1,435474,-1,155343,869097,767454,719727,475792,861422,839886,820480,-1,-1,62696,-1,-1,-1,-1,606503,-1,-1,-1,-1,205638,679857,659187,865338,-1,628853,272949,-1,124104,-1,-1,-1,825085,894669,985613,-1,796274,970612,-1,49248,-1,-1,257989,-1,452475,-1,-1,-1,-1,-1,-1,344348,-1,-1,-1,-1,-1,457454,223572,268377,375174,-1,473394,206140,749786,984874,972674,726005,-1,-1,-1,-1,-1,229376,-1,57666,127119,-1,346396,628848,687286,210142,340345,-1,-1,604872,905165,148446,-1,754545,653380,-1,785296,420034,836631,482618,-1,-1,82994,698283,892497,738273,-1,578800,764792,-1,-1,689793,-1,-1,-1,-1,-1,96614,460856,-1,761280,-1,232558,421625,359731,83196,360220,920539,-1,-1,113105,-1,-1,231624,-1,-1,162704,-1,-1,-1,-1,225470,-1,472184,-1,-1,362795,-1,132686,697275,-1,-1,-1,-1,361573,-1,-1,270707,203776,-1,-1,-1,291211,415273,468932,641950,289450,62997,544012,-1,-1,-1,-1,-1,-1,-1,-1,-1,170241,-1,-1,-1,766596,-1,8963,287288,387309,-1,-1,-1,988743,-1,-1,992869,961244,835986,-1,695722,705923,465369,287317,-1,-1,758577,645426,-1,-1,566605,942842,-1,-1,817489,283293,60742,-1,112878,-1,645712,-1,-1,-1,245375,106101,-1,2729,-1,204048,551865,-1,-1,-1,-1,-1,-1,201539,-1,347541,439843,485047,-1,765219,-1,747049,-1,946594,-1,288202,728159,471872,-1,-1,-1,367101,-1,-1,-1,419378,958325,484681,-1,-1,-1,-1,270925,-1,-1,-1,-1,182518,352384,305774,280492,808443,630750,449426,-1,-1,783339,307285,-1,-1,756482,-1,-1,-1,-1,-1,-1,-1,-1,-1,455063,-1,-1,-1,-1,-1,-1,-1,181659,-1,877710,-1,-1,-1,783603,729498,214326,-1,890401,857536,899128,-1,557441,952494,-1,884620,-1,-1,753317,390111,360100,-1,-1,806063,-1,-1,-1,493523,41607,903296,685559,-1,493657,740205,777131,138792,703405,-1,-1,-1,-1,-1,-1,-1,-1,-1,865483,-1,-1,-1,-1,-1,370646,861112,-1,627624,761708,-1,-1,-1,-1,-1,-1,400855,950961,-1,-1,-1,333101,949602,-1,-1,-1,455529,-1,-1,-1,-1,-1,-1,-1,-1,-1,744894,-1,-1,-1,668882,-1,-1,-1,983310,260865,770362,310232,-1,536915,-1,439899,969634,-1,292055,781879,921838,271265,890848,-1,-1,-1,-1,479500,580694,-1,-1,302026,930211,-1,569,-1,979891,-1,-1,-1,234914,-1,862499,-1,523486,-1,37663,-1,764955,788814,325053,-1,-1,-1,830194,-1,161925,371902,-1,934230,-1,123282,539329,-1,-1,-1,756209,955059,271378,-1,360384,-1,-1,572934,-1,591383,-1,-1,544213,462985,-1,183926,72712,923592,453003,768176,673956,-1,-1,-1,972013,-1,-1,-1,274787,-1,-1,272298,-1,353506,-1,855346,949138,-1,156192,850395,-1,433139,348845,549887,360466,700480,454406,-1,-1,-1,-1,-1,273331,-1,-1,-1,273321,707767,-1,-1,609349,-1,481920,-1,864930,-1,333628,-1,-1,-1,-1,-1,992120,-1,39141,386845,-1,301648,-1,-1,-1,406635,797212,-1,991499,-1,-1,-1,336299,-1,-1,-1,-1,973548,-1,94942,-1,-1,-1,-1,150531,905889,-1,872671,310177,523143,980663,777469,23746,-1,443752,-1,-1,206280,658150,762324,53934,199564,647145,-1,263739,-1,352728,777845,732810,-1,-1,-1,417796,-1,369389,-1,530727,992601,811204,-1,-1,198958,96233,-1,-1,-1,-1,368391,689615,606773,-1,531195,306343,181609,146141,-1,561492,-1,302406,378963,949924,-1,-1,-1,-1,-1,-1,-1,963679,-1,52008,225086,581345,14417,-1,65368,-1,22202,-1,759764,857590,708522,341257,422340,76332,-1,-1,724114,117696,432537,-1,-1,-1,-1,343435,309085,646731,-1,-1,-1,46095,-1,-1,-1,501511,435251,707723,647107,574249,208555,788008,763685,-1,827077,123332,-1,-1,-1,-1,801573,-1,876926,413154,-1,707659,-1,-1,537260,-1,-1,-1,-1,319384,286727,-1,91041,567794,-1,-1,932589,-1,-1,-1,-1,698065,-1,841219,789227,-1,-1,-1,-1,-1,498045,-1,-1,-1,-1,610971,193655,-1,284608,446560,-1,-1,-1,260130,-1,-1,-1,-1,518447,788571,-1,25782,371336,-1,-1,-1,241925,-1,-1,600027,525742,-1,-1,-1,-1,955805,456232,-1,621423,-1,469941,697971,-1,6094,-1,946154,-1,248455,1725,49399,349828,-1,71750,-1,840452,381490,805363,699893,-1,530496,539146,98325,657,906783,-1,-1,-1,-1,-1,300280,-1,-1,475859,131606,420787,-1,-1,262048,498503,172076,-1,-1,-1,-1,695613,835117,-1,-1,526915,-1,85877,-1,577625,-1,-1,-1,787663,-1,896093,-1,-1,-1,79015,-1,-1,827178,-1,873224,157001,311946,-1,209097,-1,700096,-1,-1,703155,507819,429306,384739,956429,-1,951522,293582,412364,147301,-1,-1,947723,-1,341375,-1,-1,919655,-1,-1,950696,106472,253675,-1,-1,-1,-1,-1,918326,-1,540440,-1,-1,353136,940219,925109,-1,-1,270453,-1,30807,808407,-1,-1,-1,-1,-1,-1,786058,311369,248741,-1,363913,-1,872196,72716,-1,995801,-1,-1,466143,110550,-1,-1,664211,64206,225787,707026,840673,665321,204682,-1,153349,-1,-1,-1,885561,-1,228051,-1,-1,312423,-1,-1,995124,265453,404433,-1,190868,493160,338702,347357,252942,-1,753722,-1,409279,494987,618655,-1,249056,603024,390517,185122,71580,33823,-1,-1,-1,-1,380364,432263,-1,826130,477806,-1,310520,780135,19990,205483,960371,208097,-1,-1,860684,709458,-1,-1,-1,-1,-1,-1,-1,339793,-1,-1,848862,-1,-1,-1,649509,-1,818208,368132,-1,612262,-1,-1,-1,975495,-1,-1,-1,-1,-1,710841,-1,-1,430650,552378,-1,-1,-1,-1,240353,94984,154378,-1,-1,-1,753250,-1,-1,-1,285035,-1,-1,94242,-1,610019,476210,696255,-1,-1,100848,434586,701308,-1,-1,-1,-1,-1,596719,-1,256520,568519,-1,-1,782786,986540,-1,-1,-1,85202,-1,546562,-1,81089,52727,-1,-1,-1,144529,-1,962386,339322,156314,961071,-1,-1,-1,-1,-1,-1,84777,965869,-1,381877,702278,852353,71458,486034,-1,-1,-1,537583,506918,250662,-1,559187,-1,-1,-1,-1,919106,499618,-1,103272,553513,-1,722578,962447,-1,-1,604802,885234,60987,-1,-1,283032,919108,29145,-1,73101,897391,-1,381882,-1,500110,840011,303189,562855,94877,-1,-1,819694,-1,956430,-1,-1,870420,-1,369,-1,573778,-1,740422,-1,-1,995383,890250,-1,501469,245235,504284,546664,361603,-1,-1,-1,-1,-1,-1,-1,840523,141687,-1,712195,-1,855684,95042,394468,341433,-1,-1,-1,125647,-1,-1,132479,-1,62593,268154,186362,828019,-1,-1,202369,-1,-1,107734,257727,840274,-1,481069,-1,-1,611192,-1,168644,970952,681208,-1,-1,-1,-1,-1,-1,947423,-1,609776,293621,-1,-1,-1,259901,168394,504183,-1,-1,929525,651871,-1,-1,-1,-1,431139,-1,-1,-1,-1,298333,885307,772553,-1,497136,-1,-1,-1,945243,-1,-1,897505,-1,652448,334827,712739,748827,84306,-1,-1,-1,-1,-1,-1,227502,390702,211786,439634,-1,264568,-1,-1,621668,218808,654808,-1,13149,738881,-1,-1,-1,40924,125079,-1,393284,-1,-1,-1,-1,-1,-1,815013,-1,-1,-1,-1,-1,-1,135700,674031,586798,596401,359635,-1,704112,-1,448478,235451,815325,-1,818742,455025,-1,466503,-1,-1,-1,232267,558866,-1,-1,207723,-1,505513,-1,628393,-1,-1,-1,768706,-1,435959,-1,-1,-1,10331,-1,708561,139440,987607,810083,75911,715472,349115,723638,-1,100929,-1,-1,-1,42130,807317,-1,-1,873705,680395,-1,-1,233202,-1,995023,-1,249098,529229,547584,-1,253792,482896,757509,931272,-1,-1,523474,-1,-1,189914,161433,260336,-1,-1,889082,-1,-1,321292,-1,-1,741517,-1,-1,-1,-1,52553,-1,632059,632893,-1,-1,-1,-1,66945,-1,706897,-1,829215,-1,436435,-1,335142,980056,982823,-1,806018,861580,136493,-1,535567,84062,750455,357958,564466,396918,-1,430726,-1,-1,-1,757994,-1,700827,398675,605723,618268,-1,570153,832008,899854,-1,-1,884019,-1,-1,253456,948935,-1,513662,585955,-1,848915,21490,361616,-1,943511,-1,16217,-1,476180,-1,33274,996570,-1,-1,707600,-1,-1,254586,405523,141160,-1,757246,-1,-1,-1,413730,-1,-1,-1,369532,914040,-1,-1,831438,-1,504754,-1,-1,248131,137467,341903,283150,784938,269908,751596,-1,-1,-1,-1,51412,-1,-1,225247,-1,41745,628135,439026,-1,576070,-1,-1,-1,-1,-1,955320,467919,-1,-1,845777,-1,-1,475988,289503,-1,-1,-1,665284,584023,-1,640168,394803,481073,-1,-1,272485,765493,-1,-1,433450,566194,-1,-1,-1,-1,834251,-1,989143,-1,-1,-1,723193,-1,-1,637618,-1,927241,-1,714438,963090,-1,737293,-1,228681,827457,729304,835318,586708,43868,-1,535526,-1,725401,-1,-1,510000,-1,112731,581295,897444,925604,-1,-1,780279,-1,-1,-1,709815,42660,71903,91455,388134,-1,-1,-1,-1,-1,-1,-1,-1,857435,-1,-1,233006,581560,161076,635730,461661,256639,590456,-1,234895,-1,-1,627085,-1,-1,-1,-1,-1,775174,611775,-1,68810,-1,557293,-1,182593,593794,-1,-1,291566,639325,174159,776525,306522,942215,38458,-1,616712,-1,-1,-1,-1,-1,-1,-1,-1,-1,167498,696715,668877,-1,-1,694244,546456,-1,109655,-1,-1,612237,893516,741906,518278,932551,395261,702751,-1,97692,-1,594800,-1,-1,190216,917830,814663,966412,179833,806983,814491,42070,760978,-1,977326,156325,422035,776997,-1,897145,752188,205115,195988,-1,-1,798229,-1,297047,-1,-1,14907,-1,233745,500545,-1,-1,409518,607422,458631,884885,-1,762630,-1,450581,358675,82986,379320,115385,305181,-1,-1,-1,-1,-1,189514,505383,828835,691375,804389,-1,205338,-1,556639,442299,326420,113928,-1,916283,-1,-1,894930,-1,230068,-1,-1,792559,248538,-1,-1,-1,685074,-1,-1,913269,-1,415,8379,-1,-1,-1,249252,705281,478683,894183,841079,-1,642876,-1,-1,-1,-1,-1,-1,302369,-1,-1,-1,319370,-1,-1,-1,544502,-1,-1,-1,655150,-1,-1,-1,797448,-1,-1,-1,-1,-1,655546,497620,-1,980627,930400,-1,-1,90818,55398,894199,283973,609774,641100,-1,-1,-1,-1,169634,-1,776389,771596,-1,-1,-1,-1,-1,-1,400022,-1,-1,-1,263279,-1,-1,-1,-1,-1,942504,414224,834698,-1,13649,593627,376858,46251,-1,-1,-1,-1,106087,882792,-1,-1,-1,528143,897163,987103,-1,767946,187967,-1,-1,-1,996823,947997,-1,822561,-1,486172,-1,-1,352236,256796,-1,-1,598233,-1,106416,-1,674849,645441,287594,-1,873378,-1,-1,517964,918002,-1,-1,465880,605498,-1,705893,-1,-1,-1,-1,-1,26245,994238,973422,335905,746799,527341,566331,-1,-1,-1,947646,-1,5309,-1,-1,940813,359348,-1,866753,584815,-1,634689,822221,895603,28333,135179,456519,12081,695357,782130,983796,76299,840843,-1,-1,101604,303605,160282,-1,-1,-1,-1,-1,-1,-1,529225,111323,-1,-1,-1,674450,776300,-1,-1,127336,619069,-1,936361,-1,-1,569574,462360,-1,755653,707174,-1,-1,-1,781617,717180,-1,813517,872007,-1,652052,305111,718019,924682,134988,382049,-1,-1,347609,-1,636312,571700,775698,934426,-1,-1,289312,246492,-1,-1,675147,125410,702237,-1,-1,-1,481105,169685,-1,139747,508535,307699,-1,755905,161570,812226,52456,-1,928075,658371,-1,640798,815683,-1,-1,-1,-1,475078,851904,-1,-1,170532,-1,-1,-1,145994,-1,182691,397090,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,389500,806290,167636,-1,836734,500986,254785,-1,-1,-1,107561,-1,-1,-1,557132,631067,-1,282966,535090,-1,826213,-1,-1,637731,263938,622519,404969,461529,625265,907340,27884,471167,-1,261840,646648,289819,929098,320252,473750,564930,-1,957673,-1,7653,900060,362626,-1,-1,-1,-1,945191,-1,734189,-1,104539,-1,449530,488164,-1,-1,240595,-1,-1,964561,374475,772638,-1,958163,-1,914314,831771,-1,872426,448557,-1,-1,813413,586310,-1,-1,514520,265730,-1,434546,497343,-1,410773,426840,-1,116197,-1,-1,-1,989207,-1,-1,-1,-1,287508,-1,-1,43559,-1,32912,-1,-1,487568,-1,484366,399601,207335,-1,-1,174693,-1,-1,628868,-1,-1,59333,-1,-1,-1,-1,813366,-1,-1,480635,395675,159257,778255,643882,112728,-1,232262,-1,680231,231694,-1,-1,694877,543499,73076,488789,-1,199271,-1,-1,-1,-1,983123,137541,146100,-1,515095,-1,-1,904915,-1,961089,960689,974357,829918,954243,-1,292280,-1,-1,657102,587447,-1,691656,783735,-1,-1,-1,425570,-1,-1,832037,232085,830760,927186,-1,-1,-1,795337,-1,-1,-1,-1,-1,-1,-1,326799,922434,-1,-1,85503,563562,-1,74788,-1,315259,936509,-1,-1,940812,-1,599359,297499,90844,297577,-1,-1,631644,-1,-1,-1,222755,306550,713417,-1,127914,735647,470009,-1,-1,181,49670,630782,-1,-1,-1,-1,-1,-1,-1,499515,225181,680975,278619,-1,-1,-1,-1,633796,155898,35397,85720,242896,244675,503069,374013,-1,-1,-1,457436,258682,-1,-1,856123,56384,969061,-1,517699,-1,955311,-1,-1,571028,407895,-1,256366,661171,168428,-1,-1,-1,-1,-1,899327,552719,-1,-1,-1,-1,-1,-1,-1,688992,278748,668299,-1,912609,286751,-1,-1,-1,-1,317077,629807,-1,-1,570184,267658,-1,242911,510099,499467,424410,785502,-1,-1,330023,271165,-1,-1,466057,-1,861867,437530,-1,586680,-1,-1,110818,-1,191148,-1,161425,-1,-1,-1,487213,-1,-1,820945,-1,-1,-1,-1,-1,924587,-1,496100,128440,-1,435389,85254,-1,-1,15615,2176,854518,-1,813836,-1,-1,-1,-1,818799,731909,-1,-1,-1,253841,-1,-1,972908,385340,95915,-1,-1,632672,-1,-1,-1,980842,90669,-1,645763,344302,-1,368885,117884,790657,478811,663636,-1,324122,898363,395799,-1,520218,560481,37842,-1,-1,-1,-1,991960,500964,222735,-1,279474,491050,885667,-1,-1,-1,-1,-1,-1,955713,317353,201071,113568,148593,-1,-1,-1,125516,457957,-1,-1,583940,-1,492331,-1,-1,743255,-1,219456,-1,127196,-1,-1,31985,-1,-1,-1,497766,763674,659699,-1,-1,758391,-1,-1,-1,-1,-1,-1,-1,310175,505625,905017,29456,-1,-1,959801,-1,-1,194991,557458,-1,828832,217840,-1,-1,-1,-1,663001,-1,-1,-1,-1,-1,919217,-1,-1,80174,802893,599642,-1,306825,-1,433437,-1,608756,-1,462080,-1,585921,231752,910103,-1,-1,-1,433836,-1,273249,-1,-1,920929,-1,-1,712401,-1,-1,290754,-1,-1,722478,-1,470368,-1,43943,-1,-1,-1,-1,510993,-1,339850,-1,330886,-1,880711,361396,-1,-1,-1,9325,214263,427610,232518,-1,622055,719702,731096,595432,339241,379066,777897,368181,-1,-1,922161,-1,-1,-1,491533,997490,719025,42194,703903,-1,218241,134305,361403,539378,-1,912271,-1,820917,245782,-1,743773,225449,579670,-1,-1,-1,-1,-1,-1,959580,-1,524859,-1,879091,-1,-1,-1,425031,2961,-1,-1,259528,125775,535876,-1,340970,517971,-1,128938,-1,-1,620475,623199,-1,948234,555113,842555,-1,535361,-1,636889,832803,-1,-1,455197,-1,301736,-1,-1,885389,223474,905599,-1,380402,404587,-1,988242,-1,-1,293519,285135,231841,204590,-1,-1,-1,-1,128385,-1,839096,-1,-1,-1,-1,621756,-1,-1,13136,339605,-1,382795,137564,572170,411369,-1,-1,271547,-1,-1,244105,-1,-1,-1,-1,-1,378939,117543,-1,321076,-1,491555,-1,691267,-1,-1,354449,-1,551573,485928,550025,724332,613402,39418,-1,536242,901782,-1,410665,-1,536672,-1,807081,-1,898359,-1,133669,-1,-1,-1,-1,738259,821366,117249,86054,508632,-1,926186,528501,-1,227439,-1,854759,-1,315700,840507,-1,607150,-1,-1,352860,115360,811539,250979,73237,91756,898179,-1,331714,-1,-1,591544,-1,363284,-1,445862,-1,-1,-1,776991,-1,222796,-1,-1,-1,782856,-1,-1,-1,-1,-1,979266,-1,80685,-1,566968,-1,831390,538846,704186,463789,-1,191898,92847,767869,-1,-1,632065,254782,894983,853187,-1,-1,-1,-1,934629,772772,-1,-1,-1,-1,477845,153321,-1,-1,-1,209399,-1,53142,181982,454438,-1,157860,888992,908937,61729,-1,496806,343297,-1,334016,-1,292489,-1,-1,-1,-1,-1,907999,257161,267935,-1,-1,-1,703907,748468,43698,225709,869256,-1,-1,-1,676577,409135,221184,-1,-1,-1,-1,-1,-1,700908,-1,-1,133614,-1,434183,-1,587582,364298,849593,-1,-1,-1,390953,738587,170751,-1,823990,-1,274232,690136,-1,-1,24023,-1,-1,-1,-1,661243,264136,246091,-1,-1,649091,-1,505116,966882,588887,761238,-1,-1,-1,-1,-1,539829,967307,973616,-1,396038,327592,77671,45605,-1,68493,809477,-1,-1,109978,218534,675029,503408,-1,-1,85290,760338,-1,-1,-1,451491,-1,609470,954908,-1,862706,-1,-1,455537,862017,-1,518329,-1,215616,192637,-1,801572,396952,-1,-1,-1,-1,-1,-1,-1,727262,-1,-1,383020,485523,-1,194279,762067,213647,-1,-1,830968,-1,-1,-1,-1,-1,-1,-1,-1,-1,263810,89480,60701,403299,976631,317248,972887,-1,70328,4001,-1,-1,-1,781659,-1,699268,84549,573800,963795,-1,928395,376526,205264,642918,-1,591294,-1,-1,469472,754754,-1,292508,331365,-1,-1,334712,831144,161708,-1,-1,706180,-1,-1,554944,453451,93380,-1,-1,874977,-1,-1,356496,-1,814454,-1,-1,-1,344440,621148,-1,-1,975996,-1,308256,883318,55848,-1,-1,802407,646249,808265,-1,-1,377053,93954,-1,-1,-1,-1,-1,136816,251979,-1,89536,-1,250794,-1,332476,-1,987537,-1,-1,-1,-1,-1,846757,-1,561505,141139,769343,656068,-1,130413,626295,-1,404622,-1,947664,715087,-1,-1,81916,328869,-1,-1,564034,268351,-1,-1,888526,653333,-1,-1,894163,-1,825526,598305,-1,166917,882925,-1,584332,682922,686327,-1,921009,-1,-1,-1,-1,-1,-1,949994,-1,552723,-1,-1,901323,674434,219355,100273,-1,-1,606476,-1,40018,846847,-1,-1,260915,-1,688409,-1,-1,-1,-1,352876,669741,-1,-1,680020,977744,915199,489257,-1,-1,-1,917146,-1,572315,-1,985778,-1,-1,212682,-1,83055,-1,915396,669236,735483,-1,-1,471917,899351,126477,-1,136579,847492,-1,-1,671974,159268,-1,451761,120012,801759,634814,-1,-1,289067,996137,-1,-1,368339,-1,-1,674818,337170,-1,663059,260943,-1,-1,-1,-1,-1,25153,994649,534395,-1,-1,497601,-1,-1,901900,190097,-1,155097,543278,-1,154782,-1,-1,-1,335885,250776,-1,-1,332794,396163,472557,-1,83657,-1,329191,490774,105619,536648,478699,364052,-1,-1,-1,-1,279048,59504,106978,217344,84348,508147,270753,-1,298944,-1,-1,862240,427839,352002,162568,-1,-1,674870,218556,471385,-1,-1,-1,331886,165785,-1,-1,-1,968585,95935,346652,911225,-1,-1,673216,-1,-1,-1,-1,576343,-1,697891,547712,900461,4950,100409,-1,-1,-1,60370,674705,-1,-1,640538,-1,-1,484188,289407,508435,666596,-1,243223,58279,435511,57563,-1,640151,-1,585257,193643,-1,-1,2930,180571,879027,-1,-1,243859,-1,-1,-1,633101,-1,665063,-1,-1,469740,514257,-1,-1,-1,-1,-1,-1,-1,22050,-1,-1,-1,-1,-1,-1,532063,906057,-1,481838,291718,-1,170814,-1,713673,168568,144523,162530,-1,692677,18707,-1,-1,-1,-1,-1,-1,842930,744868,214095,-1,-1,658298,-1,215489,-1,261391,509326,-1,-1,-1,-1,-1,274093,415394,-1,-1,-1,-1,19980,698744,701174,91760,-1,410156,-1,-1,755845,933164,197236,39835,-1,998756,-1,243077,548630,385458,-1,-1,569877,290546,459563,889294,-1,777303,136404,-1,-1,231160,4004,608372,-1,666474,619665,-1,738487,-1,132196,890928,-1,909928,-1,213498,-1,707007,649978,289010,876437,-1,-1,-1,37994,673991,330994,-1,-1,-1,-1,336702,521346,-1,135108,602879,-1,-1,333198,-1,-1,-1,30706,-1,611598,599216,256422,-1,184764,29685,-1,-1,-1,-1,-1,151168,791978,-1,-1,326367,-1,-1,327710,-1,945795,-1,488557,713710,67527,423552,-1,922197,600277,46445,303684,-1,640777,-1,885241,-1,-1,-1,-1,-1,-1,378076,257068,-1,-1,699910,-1,89063,412974,260690,125337,-1,-1,-1,-1,-1,-1,271534,-1,-1,196364,436239,-1,-1,-1,675203,214696,-1,884717,852796,-1,179577,-1,-1,965011,-1,-1,-1,-1,197419,119357,-1,-1,-1,-1,766653,873306,-1,147042,-1,143,904733,702676,10029,655106,745371,-1,470114,908044,277479,-1,660357,299737,-1,-1,-1,807273,-1,839250,-1,-1,496501,899086,324483,-1,937535,-1,-1,522646,220818,229546,-1,668170,523872,-1,623020,-1,517091,-1,479988,-1,588445,688713,27345,-1,729864,-1,775765,519665,-1,-1,-1,-1,998928,679554,318214,237328,934568,886233,258459,-1,649233,135259,759115,-1,137018,196237,-1,698506,239704,910858,-1,881133,-1,-1,-1,-1,-1,924287,625774,435407,196867,939937,19667,869957,-1,-1,530463,-1,-1,855418,-1,307621,971559,-1,-1,-1,-1,479625,-1,112565,520494,-1,333361,-1,-1,895204,-1,-1,986311,11784,844177,989902,313965,277526,340402,696183,378325,846799,979045,-1,-1,646845,403460,-1,800303,-1,-1,464616,-1,42340,214394,228897,509221,917634,968616,658873,-1,-1,-1,-1,-1,523745,-1,383900,-1,997001,-1,-1,497872,136727,-1,-1,-1,460977,383378,794320,-1,-1,580693,144682,-1,-1,7763,-1,553733,328966,912626,204706,-1,-1,85500,-1,-1,-1,608302,-1,368477,400682,-1,338681,-1,348454,129090,502721,234663,-1,752648,-1,-1,-1,-1,135748,-1,288108,121819,-1,-1,-1,414280,846529,-1,-1,721288,751849,-1,687012,-1,407176,-1,155692,-1,577459,965031,-1,874419,-1,-1,-1,-1,646013,-1,428663,453629,-1,-1,-1,165036,-1,-1,-1,428231,528750,-1,-1,344342,-1,814553,-1,288415,674382,831509,651667,733133,218888,253412,-1,961791,906562,52337,-1,987292,-1,443925,621829,504603,-1,-1,133452,248375,-1,861715,-1,248289,-1,-1,-1,-1,138620,-1,-1,540844,-1,6550,-1,-1,561091,828244,-1,-1,389725,900514,547719,-1,-1,-1,-1,-1,-1,435869,809866,988100,-1,740164,493741,79684,-1,304957,248606,429391,953219,488253,-1,-1,425123,48468,292999,8077,341733,838697,773749,803540,401919,-1,-1,-1,-1,494994,-1,-1,39062,531420,-1,87938,-1,494976,423964,193596,-1,-1,-1,756672,-1,929500,-1,320289,-1,612985,-1,64996,-1,383216,980524,-1,849474,-1,-1,93408,-1,743533,-1,-1,34520,589024,639867,-1,-1,974644,370599,-1,-1,397377,-1,821932,274658,-1,274240,-1,543814,-1,-1,548061,519542,-1,653805,183995,-1,-1,34814,-1,-1,563992,591950,-1,356210,776063,4951,379003,517222,414940,778149,412402,983212,-1,700466,515021,262972,-1,-1,-1,131596,736907,561221,658308,162962,571602,-1,-1,504655,813204,192807,-1,439839,825517,-1,244339,-1,-1,162032,-1,840996,-1,453280,-1,901787,969865,273428,-1,581660,-1,86602,-1,-1,715647,203163,-1,638517,706046,-1,-1,931226,-1,68919,-1,960213,-1,-1,710975,254590,-1,-1,247418,919369,618271,471133,52866,-1,-1,813203,-1,-1,448633,-1,551926,-1,-1,424334,967170,526928,-1,-1,-1,343380,354828,936316,-1,-1,-1,229611,-1,-1,-1,-1,507059,294966,-1,-1,-1,548216,582647,686652,836530,-1,426872,363317,-1,-1,-1,84394,424826,300505,312071,-1,752908,313039,-1,-1,25817,938955,5045,801226,889428,-1,792521,605735,-1,-1,-1,525498,-1,786521,-1,-1,-1,-1,356590,-1,-1,164131,-1,-1,-1,-1,-1,320881,-1,-1,160552,813414,782317,489128,-1,479258,-1,-1,317786,624139,-1,-1,525179,-1,-1,-1,981461,891304,713372,-1,-1,332790,-1,-1,-1,-1,-1,-1,798917,-1,-1,649412,4110,-1,835039,-1,786312,-1,139218,-1,51407,-1,146191,43826,197299,444661,763823,-1,506995,-1,245129,-1,195836,926818,-1,-1,-1,-1,42442,-1,561607,258098,264059,618065,953491,-1,-1,538159,-1,873850,-1,-1,-1,228894,701519,719793,-1,311832,-1,197930,893126,-1,-1,596443,-1,269126,-1,-1,89417,119954,541881,583418,122175,465388,-1,-1,232629,655672,-1,685528,-1,-1,905596,204202,-1,284056,238723,-1,-1,208947,-1,-1,155203,-1,589140,812305,428472,138964,819060,827722,-1,88896,-1,-1,-1,-1,-1,582831,-1,466991,-1,-1,-1,-1,-1,42191,-1,447125,-1,937023,116830,-1,-1,-1,-1,425923,-1,-1,654026,-1,-1,-1,629197,914886,942806,384639,-1,-1,-1,-1,295377,889883,365000,-1,-1,494885,553743,-1,-1,301447,740284,231781,232446,420155,88078,276767,659687,90760,-1,-1,-1,-1,-1,908159,62548,-1,-1,33144,-1,-1,-1,583737,344276,-1,-1,256148,422265,239965,-1,652104,379111,80021,275845,759704,-1,-1,-1,593637,-1,-1,790118,323756,795860,-1,-1,269548,-1,-1,-1,-1,5695,-1,-1,-1,674421,-1,-1,392027,567182,432750,-1,28873,-1,245095,-1,573051,685960,417412,-1,-1,-1,424830,-1,-1,-1,720094,664693,161445,848798,181180,-1,-1,-1,-1,565896,-1,28055,-1,624909,441045,-1,-1,-1,844132,-1,754676,993921,153618,-1,185197,868070,98787,-1,839307,141307,-1,243659,-1,689596,-1,-1,-1,-1,-1,-1,-1,955232,455029,152130,-1,711352,-1,981614,-1,-1,-1,-1,144855,629735,-1,-1,-1,920187,-1,-1,-1,975947,-1,305986,351894,482073,-1,179309,658882,235163,-1,748002,691273,836851,961343,-1,195472,151798,-1,-1,-1,-1,-1,763347,-1,-1,922470,-1,-1,-1,171316,487269,-1,1478,209364,879786,272502,-1,689252,777441,-1,-1,303433,-1,464606,440632,962323,147643,882670,638237,-1,933727,731814,401610,822426,941644,929143,382098,261384,327786,-1,827349,1405,-1,765104,-1,787427,-1,-1,596624,495722,380210,359858,-1,-1,314912,201334,-1,-1,-1,-1,239628,379032,-1,430042,157828,-1,172539,580946,571050,-1,-1,-1,988090,77525,-1,43978,148859,-1,-1,-1,-1,705614,87882,-1,829800,716003,-1,-1,459636,-1,611441,-1,-1,-1,683813,-1,-1,-1,548264,807562,-1,953747,-1,595203,-1,159204,-1,950517,435899,-1,378284,-1,-1,-1,-1,-1,881671,729553,552155,-1,-1,-1,-1,492483,-1,266410,538387,-1,-1,-1,-1,-1,-1,360346,508476,861500,-1,-1,913517,849720,-1,-1,988546,-1,-1,304617,-1,288844,665347,15931,-1,931433,-1,703395,705046,-1,968781,759983,203216,774579,-1,247638,-1,343417,802751,-1,-1,717368,767099,-1,53234,964972,470983,397140,362404,594380,368129,394115,-1,85312,-1,-1,-1,-1,477959,-1,-1,-1,804816,-1,311463,678495,487162,-1,492859,-1,43752,-1,-1,34934,-1,270306,-1,-1,589266,-1,-1,-1,-1,-1,815561,671229,724742,101564,20703,-1,-1,-1,-1,37913,-1,669979,206177,-1,-1,-1,616279,59803,-1,-1,-1,-1,-1,-1,-1,693161,843496,15596,686394,841625,-1,776779,-1,-1,722237,56733,-1,-1,589018,-1,123440,860411,910090,984783,927207,348915,-1,-1,195626,-1,-1,-1,572432,-1,-1,12046,982879,-1,-1,234270,-1,393084,188746,37295,-1,-1,357546,-1,-1,420848,-1,957296,472152,482590,156751,-1,-1,541498,668959,876242,140417,-1,442007,29373,667026,45582,156707,-1,813803,846674,-1,-1,624195,448870,-1,-1,-1,982233,-1,358941,567800,574428,-1,-1,-1,-1,428419,-1,836367,569284,-1,596222,-1,-1,65269,-1,768084,-1,322562,429564,-1,-1,771827,-1,-1,828838,-1,-1,-1,-1,-1,-1,-1,966439,-1,-1,-1,-1,-1,285105,-1,186884,978336,-1,911113,-1,984074,905008,485525,797658,34639,-1,509603,-1,-1,-1,-1,60694,-1,298546,-1,312645,595672,700538,873614,295816,359525,-1,650747,-1,150767,-1,-1,-1,655395,-1,-1,305706,-1,-1,-1,814548,658370,829828,-1,-1,182901,-1,699748,840408,285090,402704,343742,-1,898965,-1,601577,-1,-1,988816,-1,-1,-1,616355,-1,-1,847204,33133,-1,-1,-1,-1,-1,10307,-1,912210,604368,181139,-1,578192,-1,8124,-1,-1,378023,337869,437859,-1,255540,-1,216187,295355,183868,-1,-1,-1,362223,-1,-1,-1,173450,263267,-1,733552,-1,993031,-1,-1,-1,-1,-1,-1,269636,302108,736005,-1,750420,736588,141427,-1,-1,-1,-1,751237,-1,-1,205532,-1,991931,129606,-1,-1,-1,-1,333675,-1,562230,831981,-1,-1,-1,967158,-1,-1,-1,-1,980661,-1,62718,100009,478225,675475,591748,-1,-1,475313,108223,165059,354370,148114,-1,694986,674050,-1,458802,-1,-1,-1,309128,-1,435145,-1,950821,896927,-1,606774,277855,-1,696412,471402,338610,116149,547666,467429,-1,-1,-1,-1,-1,-1,906728,513039,196081,236712,-1,-1,-1,756436,-1,-1,-1,639469,-1,-1,435210,378605,734361,-1,-1,-1,12892,-1,217215,-1,70656,-1,211899,67531,921785,775805,-1,-1,380711,-1,325912,-1,-1,496643,752387,269011,-1,-1,-1,841706,-1,826645,-1,759642,510895,-1,-1,-1,-1,654309,188995,868802,-1,-1,-1,-1,859467,-1,247597,-1,-1,942641,-1,332083,983594,-1,48666,-1,16437,-1,-1,-1,-1,-1,-1,532733,-1,-1,230963,845581,-1,-1,765675,606495,278732,243006,109752,-1,523658,773383,355095,-1,-1,194563,656300,-1,906318,-1,-1,-1,-1,-1,-1,-1,-1,-1,819331,-1,977752,-1,-1,954564,590137,-1,132017,386520,-1,-1,-1,146929,133204,363062,-1,-1,868491,-1,513768,-1,-1,-1,-1,218783,-1,432787,-1,-1,957811,-1,297390,-1,-1,550944,735813,561114,869525,-1,558734,-1,-1,-1,-1,-1,-1,-1,-1,-1,820039,-1,-1,-1,240942,626601,-1,-1,-1,501077,-1,25892,167776,765683,-1,-1,-1,258482,-1,150942,720989,-1,463819,351681,-1,684590,-1,14099,-1,-1,-1,-1,718879,459220,-1,-1,485305,562727,-1,-1,-1,836046,-1,74448,-1,712373,-1,936219,298421,216618,813763,613065,-1,206062,-1,541243,-1,-1,-1,-1,671449,148414,-1,26340,37177,-1,161876,214747,-1,590385,96339,-1,825369,-1,604121,-1,538073,-1,-1,18650,-1,-1,-1,-1,-1,438433,299808,-1,-1,-1,28717,-1,613260,549850,-1,788066,-1,-1,294575,871826,655965,68407,-1,-1,-1,549900,96573,-1,-1,127757,920453,-1,-1,606480,285071,-1,-1,-1,544032,583850,12326,-1,357724,-1,220362,-1,-1,-1,445194,737871,-1,-1,439110,680711,-1,-1,724240,-1,-1,460093,-1,-1,807993,-1,441732,-1,358521,493159,-1,874076,-1,298033,20222,16177,-1,342480,-1,263231,319410,344130,648913,-1,-1,222562,545387,21282,866293,846606,669605,60160,-1,-1,-1,403625,945347,398680,18227,976569,822635,-1,-1,-1,-1,596538,-1,-1,778423,-1,-1,-1,-1,-1,-1,-1,714964,-1,849927,665363,-1,683706,-1,81367,-1,439074,-1,-1,379034,7664,-1,348445,-1,-1,-1,848614,-1,398406,-1,-1,-1,484824,-1,776224,-1,-1,-1,-1,578003,203464,-1,951485,-1,-1,397471,-1,-1,210378,-1,907786,478602,-1,-1,104408,529102,-1,-1,-1,826076,-1,577599,-1,-1,457622,-1,649067,-1,740702,709031,-1,-1,-1,-1,-1,354916,-1,284113,880014,762666,172346,-1,245083,998905,642407,568997,719562,322951,105841,596901,229622,959962,887880,-1,-1,-1,998533,487479,121900,-1,-1,-1,758616,-1,-1,317153,777359,-1,687298,-1,59815,696720,-1,350082,-1,-1,-1,228175,-1,-1,-1,124106,470511,-1,-1,767624,622280,828058,175637,-1,327031,62098,488791,-1,-1,754560,419886,155563,176347,-1,-1,-1,-1,483956,474695,819268,-1,715240,394849,-1,-1,-1,24490,-1,230414,18150,737506,-1,937810,56624,-1,-1,-1,-1,-1,-1,663518,-1,-1,40720,-1,12337,-1,-1,814649,487210,-1,-1,-1,-1,-1,-1,-1,415027,-1,-1,-1,567989,69624,-1,-1,-1,846812,902222,-1,-1,-1,745571,-1,-1,134967,37649,834091,55664,-1,-1,753958,219510,-1,287680,-1,-1,252928,-1,-1,666754,19772,-1,-1,97223,969459,833943,145166,985698,253617,-1,-1,20531,171075,-1,663829,477407,305003,-1,-1,-1,-1,-1,-1,632057,-1,-1,-1,-1,-1,187768,-1,-1,-1,-1,-1,827524,810048,-1,-1,462099,-1,889949,404836,718079,131383,-1,-1,589231,274230,206515,879538,964669,435915,703398,70262,456936,-1,627223,41281,442699,-1,-1,-1,-1,846245,549644,930231,-1,-1,280523,493996,208070,-1,816418,-1,930885,618548,698701,-1,475815,995394,-1,157855,219691,181571,175091,216162,-1,-1,365510,869582,-1,200769,185380,-1,-1,-1,477370,19896,821160,666571,495560,-1,345292,-1,72469,-1,-1,-1,385849,-1,-1,-1,-1,23000,291256,-1,536055,-1,-1,-1,746307,217393,950747,838116,-1,-1,101583,-1,-1,924785,921290,-1,-1,-1,-1,587464,685201,-1,-1,716006,-1,922444,725521,-1,145126,462802,-1,-1,790156,215090,633443,-1,-1,662505,-1,750607,-1,351757,-1,-1,-1,-1,996008,-1,519365,85174,28986,187378,-1,-1,753300,-1,-1,-1,511091,-1,847409,-1,553579,706134,366599,166857,189809,492504,164433,-1,216169,-1,-1,-1,835332,29706,-1,890364,107942,597697,352180,855532,-1,623189,-1,505339,488263,-1,142449,-1,974145,-1,875030,-1,739259,-1,-1,-1,-1,-1,-1,62210,-1,962911,-1,292443,-1,245763,465076,37711,398129,-1,28133,396653,960346,65574,-1,777993,-1,816831,-1,-1,-1,423258,204506,119473,-1,882135,815831,101042,870291,-1,432091,536901,929524,769186,205991,774692,567813,474405,-1,-1,939359,-1,-1,443893,-1,630579,507503,-1,-1,167641,-1,-1,-1,409458,396170,35982,-1,-1,-1,-1,836364,-1,50752,-1,-1,177849,215698,667742,568412,939285,417018,186174,-1,-1,-1,207418,-1,441189,-1,-1,-1,-1,49364,398467,-1,-1,127849,-1,350950,-1,-1,-1,-1,419459,67053,-1,-1,-1,-1,-1,-1,-1,312633,-1,92970,361040,517995,231714,-1,363412,-1,318142,-1,-1,920855,-1,349060,607676,-1,-1,40022,-1,522933,964202,-1,165468,989729,690978,133222,838597,-1,848646,414062,-1,637337,375106,-1,617981,-1,605316,-1,-1,-1,81770,799896,-1,-1,-1,-1,-1,-1,-1,393832,-1,-1,-1,-1,304766,721268,-1,-1,604912,-1,950201,64048,-1,-1,391405,-1,460518,-1,-1,920898,57149,-1,40330,-1,875129,649176,-1,480654,485667,-1,965445,-1,-1,-1,-1,73714,-1,727737,400577,228629,-1,-1,889743,939191,393436,172386,-1,-1,-1,640655,350507,-1,-1,605903,-1,948744,956132,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,955837,817156,443460,583138,709120,944387,-1,973497,454943,961859,-1,-1,-1,700941,-1,507898,22318,-1,-1,-1,-1,938679,-1,236895,397199,752039,629822,-1,466799,-1,414870,-1,299763,-1,-1,-1,-1,-1,-1,922248,-1,849477,271324,-1,-1,878715,479976,-1,33595,-1,-1,-1,-1,-1,360553,529391,320970,-1,-1,408993,101837,-1,-1,-1,279221,-1,-1,688191,214328,-1,57000,621438,344008,-1,611315,260995,-1,-1,445034,39693,-1,-1,-1,-1,-1,961705,579759,-1,-1,-1,-1,-1,479801,982101,-1,-1,779621,-1,-1,-1,247620,-1,-1,933003,-1,-1,801007,147602,933086,-1,541466,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,986697,370873,-1,589717,-1,-1,-1,934722,-1,-1,380492,438057,-1,-1,-1,825965,-1,-1,-1,-1,741377,-1,-1,-1,47326,-1,396428,-1,-1,-1,-1,287122,903623,-1,986648,-1,480604,879408,-1,-1,-1,445825,-1,-1,278735,684918,347333,140499,-1,66426,778366,881341,932598,-1,-1,-1,342120,-1,678703,-1,791460,380988,-1,179816,157757,-1,-1,-1,-1,543259,997237,785447,581334,-1,544016,275620,-1,-1,-1,-1,-1,943225,-1,-1,-1,16099,856712,-1,-1,-1,-1,661400,-1,349053,565564,-1,-1,-1,125274,492310,-1,195356,763780,-1,-1,-1,24796,-1,72087,-1,-1,-1,55003,-1,-1,268814,-1,750671,-1,350385,848820,-1,733893,-1,911712,-1,457435,646604,361785,-1,461940,204901,-1,589901,424840,217339,-1,-1,534256,-1,-1,401471,-1,923483,-1,-1,465236,-1,25844,191991,-1,321912,-1,257133,-1,-1,608893,475557,79359,697337,-1,-1,-1,-1,38166,-1,12689,-1,-1,691085,-1,-1,-1,-1,-1,395535,93639,-1,-1,-1,637010,-1,-1,-1,167923,-1,-1,-1,265231,-1,-1,-1,604164,539129,449935,920323,787642,84845,618177,796414,-1,-1,759914,845504,-1,447668,330574,-1,263289,-1,199469,-1,-1,-1,48736,216409,641948,180865,-1,-1,232537,603014,103618,-1,701532,811752,-1,-1,538487,-1,985710,504784,147440,-1,-1,-1,-1,-1,-1,-1,-1,700786,-1,-1,600389,171919,992015,840458,475472,617669,-1,91197,-1,786588,670956,-1,-1,387731,374418,-1,-1,99927,-1,-1,930201,567358,-1,-1,166795,-1,258994,-1,365811,489639,273586,959372,622619,-1,904249,885316,772093,806681,614726,534500,518501,-1,-1,6695,306645,772867,-1,464068,564205,200396,643847,-1,-1,823902,-1,209624,-1,-1,354582,137832,-1,-1,787831,-1,346154,96498,-1,-1,-1,656110,-1,666804,-1,483674,-1,591303,923284,-1,91788,-1,-1,213626,807089,816616,760353,-1,-1,-1,-1,832452,188568,-1,-1,610139,617552,977295,-1,242571,749259,187205,2095,272001,299089,-1,713493,9778,-1,593046,-1,-1,259382,222453,-1,-1,351345,-1,-1,783613,489593,322854,266591,-1,479402,800874,-1,-1,-1,795239,58474,955521,-1,-1,-1,-1,-1,-1,586559,326700,-1,-1,-1,684492,2357,-1,76348,212125,-1,-1,385094,-1,-1,538178,194709,-1,-1,-1,203210,-1,105096,26169,654458,510532,957420,-1,485441,222980,891270,-1,634654,820044,-1,-1,-1,413349,-1,292386,642072,-1,-1,-1,643482,171640,-1,894684,929603,-1,-1,133639,-1,-1,-1,569353,838273,820717,-1,557434,-1,-1,-1,657039,598726,198205,-1,-1,-1,745665,-1,-1,-1,434880,-1,972604,-1,-1,-1,829251,622198,974635,10799,752800,262802,-1,-1,192266,-1,-1,336538,768234,443362,677053,827664,-1,436232,82765,-1,507091,-1,-1,-1,-1,-1,-1,684596,-1,-1,656459,328142,-1,690173,93727,109168,-1,680733,676136,-1,-1,-1,-1,-1,-1,522006,667119,-1,123986,-1,-1,762183,-1,214703,346276,-1,-1,447921,194260,668449,665613,729089,536526,870845,541340,205627,-1,433055,162455,-1,291892,578125,377942,-1,-1,569596,-1,-1,710105,838206,-1,920571,-1,-1,576523,-1,648482,-1,-1,672768,76954,-1,522206,-1,24142,470726,-1,545830,993190,375505,521810,-1,-1,-1,54326,775787,286857,666658,-1,-1,863339,-1,459240,-1,666561,544517,-1,76653,-1,-1,441307,911832,400502,-1,-1,625456,-1,28150,483013,537422,129353,-1,-1,252562,-1,416554,118167,-1,-1,941737,131720,244646,789348,487733,-1,-1,405370,908626,-1,37873,370730,161742,-1,-1,124984,-1,52797,407882,-1,-1,-1,-1,-1,-1,-1,58799,68107,654501,-1,117124,830708,97548,-1,-1,-1,553345,227385,68722,926316,949859,56013,501861,414223,-1,833335,-1,843076,716448,-1,-1,197639,101634,-1,472581,-1,489470,800590,-1,388819,-1,-1,962600,253563,456154,745272,392940,-1,942138,-1,-1,259036,853531,-1,305515,267914,16934,-1,-1,226899,388943,688840,58106,352533,-1,-1,444632,-1,841191,-1,-1,-1,-1,771424,754241,942962,-1,-1,-1,228850,421229,766828,787818,-1,-1,681577,592080,526892,-1,339559,620449,426523,48057,-1,-1,-1,740329,-1,6906,60321,932698,-1,897626,-1,-1,-1,-1,145747,-1,-1,887531,529835,-1,48237,436940,-1,266772,837249,973318,-1,950762,-1,-1,996413,-1,393509,259310,-1,793550,849008,-1,-1,-1,438634,-1,130588,-1,-1,651998,650307,297910,-1,972051,-1,-1,74369,863496,-1,357227,-1,353053,54764,464543,-1,-1,493954,-1,-1,-1,-1,83798,197403,-1,639323,944773,-1,363757,272060,-1,748988,944330,231544,-1,316938,500397,781830,423947,81217,113169,963777,-1,170059,571871,-1,-1,-1,438768,-1,-1,-1,882136,-1,557690,-1,-1,391742,-1,566350,-1,793700,-1,-1,945520,970671,877145,-1,676023,-1,-1,-1,-1,-1,-1,-1,-1,-1,43317,262646,-1,-1,-1,-1,760222,-1,-1,352222,-1,-1,-1,-1,4378,146336,117678,559671,-1,130500,598511,354973,-1,-1,761807,-1,387422,-1,-1,655027,-1,933367,-1,317767,-1,102297,117666,-1,-1,-1,873321,-1,428829,651405,-1,160370,-1,-1,430259,-1,751460,-1,-1,-1,633408,592837,-1,878839,-1,-1,290772,-1,344994,-1,867845,-1,-1,-1,29886,-1,438568,-1,477445,-1,-1,-1,-1,277285,184909,-1,157416,-1,-1,-1,149919,733264,14639,-1,324622,483301,767154,-1,-1,877301,-1,302926,-1,737804,491256,877841,29712,262667,-1,9182,797821,-1,-1,651515,-1,291935,-1,-1,290680,-1,-1,-1,-1,-1,454949,463423,-1,-1,160650,861022,937151,-1,417153,566801,-1,779511,868630,472408,886120,-1,-1,-1,405801,-1,-1,-1,-1,852300,-1,-1,93502,-1,274617,103765,993569,968954,559638,819512,183907,-1,515626,-1,-1,-1,-1,-1,811624,533004,-1,-1,-1,-1,196249,272448,654307,-1,641414,-1,916408,854350,683039,-1,-1,-1,-1,-1,551171,564186,-1,581286,-1,742453,-1,946575,-1,633417,314003,877689,-1,-1,-1,865895,473138,428806,-1,-1,189501,-1,29457,153620,619116,-1,-1,220212,312886,-1,-1,442918,593938,-1,-1,556656,-1,-1,62704,845553,910083,-1,612540,586529,-1,772329,-1,-1,715584,-1,-1,443551,192859,846685,990609,416641,378956,-1,-1,215624,127172,967548,-1,-1,-1,-1,31594,85164,801071,-1,-1,359488,219565,-1,694624,-1,377325,-1,-1,-1,-1,-1,178283,448834,-1,-1,-1,275395,102036,-1,66528,905965,-1,-1,858825,-1,96777,754660,-1,253276,509675,-1,-1,-1,364295,-1,-1,6256,63939,-1,-1,373767,-1,899960,211813,907263,-1,811077,-1,-1,42396,-1,871190,-1,-1,-1,906422,-1,703057,-1,819794,-1,-1,-1,-1,-1,21826,-1,421151,-1,674043,845675,916656,119321,-1,982840,-1,614174,-1,694700,594184,521752,-1,-1,-1,854968,995562,355129,-1,220631,155886,-1,-1,-1,-1,507832,-1,-1,126148,-1,308327,-1,90730,53063,-1,-1,-1,-1,-1,702658,144296,-1,649550,283337,-1,533585,15898,-1,-1,-1,258341,-1,-1,585146,-1,-1,235779,935928,126570,34712,-1,-1,900635,-1,-1,934409,560640,231205,891678,693283,678415,-1,4569,835403,-1,238510,-1,788519,354617,572224,368195,-1,846983,-1,533030,-1,-1,-1,173222,839486,-1,769400,-1,-1,-1,-1,66185,932957,-1,-1,-1,-1,919367,-1,-1,287874,201796,-1,-1,343265,316534,-1,-1,308499,-1,-1,771179,-1,-1,-1,-1,299166,802670,496417,498467,-1,751244,839087,-1,-1,846534,969575,-1,-1,117986,811104,-1,390866,-1,373280,611309,-1,-1,924821,898593,209158,-1,-1,-1,864891,-1,-1,-1,107938,481919,-1,932820,512910,180456,879615,-1,-1,-1,-1,-1,-1,961329,729398,960892,-1,126989,185345,-1,-1,-1,635056,-1,593939,484701,-1,853355,-1,-1,-1,-1,819006,209935,-1,-1,927374,342618,707869,473829,-1,835417,770065,-1,165445,-1,317584,-1,242793,908424,-1,-1,294650,701576,230524,952689,-1,284110,-1,-1,-1,785470,-1,103460,489774,-1,-1,195288,-1,-1,-1,680681,-1,-1,621683,733661,-1,603079,-1,-1,-1,553138,59231,-1,-1,-1,-1,-1,472755,-1,995099,835475,-1,358628,600381,829457,672425,-1,500284,-1,475063,432156,46929,-1,755726,-1,177777,-1,-1,-1,-1,-1,-1,564029,204492,-1,-1,-1,373711,991606,425726,505610,686254,547534,108330,249829,115680,-1,-1,782047,291412,-1,-1,101716,919929,876814,870092,-1,823105,-1,944825,-1,309810,-1,662359,-1,-1,-1,823923,625268,318300,-1,155845,-1,-1,-1,586880,-1,575573,-1,126207,-1,156754,428656,918847,-1,38695,61010,-1,-1,-1,33479,632870,-1,555967,-1,-1,104664,-1,33178,503388,141730,693411,439596,27285,560168,588611,-1,723891,-1,676238,-1,-1,683647,-1,566790,-1,-1,897113,997309,380699,-1,430285,-1,180552,-1,-1,52418,-1,-1,-1,707861,-1,882556,-1,301043,269124,248658,172916,-1,315887,-1,-1,709487,-1,-1,342792,58538,-1,-1,922739,-1,-1,950349,-1,-1,622380,690999,313765,10591,201876,-1,517099,483791,-1,36141,88567,-1,-1,-1,765676,-1,-1,-1,450615,-1,-1,498937,721976,-1,-1,-1,-1,700918,-1,82704,-1,773374,813172,792928,-1,-1,766546,-1,-1,-1,-1,-1,880938,-1,-1,-1,331166,-1,-1,507132,-1,-1,-1,380401,723439,-1,357016,294294,-1,-1,975787,-1,922964,-1,-1,951677,-1,-1,-1,-1,-1,-1,-1,382010,-1,-1,-1,166986,851994,-1,485693,-1,857524,992423,-1,-1,-1,-1,-1,-1,733426,94338,823719,-1,188481,117576,-1,-1,954363,538726,672420,633085,571163,-1,774682,-1,835671,261533,-1,724889,-1,120037,84722,471789,120925,193958,-1,518315,667157,-1,853541,940625,747283,849685,77130,-1,-1,646643,-1,629375,882887,-1,-1,-1,-1,-1,-1,-1,631982,890803,-1,-1,77560,-1,-1,-1,-1,161033,-1,-1,-1,797917,-1,621098,-1,860198,458135,136760,-1,-1,939819,587634,-1,297830,-1,-1,-1,712597,566045,618237,805390,-1,953349,87183,435625,-1,-1,282859,995997,-1,-1,-1,-1,-1,-1,765857,-1,-1,-1,-1,932845,-1,752263,-1,805142,533652,140755,-1,169833,321058,562267,833140,-1,735700,814880,50439,-1,-1,925119,826860,-1,691285,137973,839422,-1,594319,681852,-1,380844,-1,-1,937465,527364,823455,88563,859523,-1,-1,-1,392678,-1,-1,14103,446906,-1,-1,-1,-1,619810,316502,653527,370354,894263,179371,-1,815309,-1,-1,-1,-1,530132,-1,-1,486717,-1,47387,499015,-1,445395,394160,-1,60748,241936,-1,769228,102568,-1,-1,-1,-1,399410,562007,-1,258053,-1,-1,-1,102429,231931,-1,-1,-1,658164,604217,-1,-1,-1,551520,382577,320247,-1,413871,-1,-1,929678,837210,649452,811547,-1,318338,473481,-1,899826,527584,-1,-1,759707,-1,-1,-1,-1,194840,693312,-1,-1,-1,-1,-1,-1,459838,-1,-1,829721,-1,-1,932804,354784,-1,402742,-1,106435,-1,424463,-1,-1,497040,-1,-1,-1,398364,-1,267297,-1,419384,-1,260912,250563,-1,-1,843920,-1,189371,-1,638482,620357,-1,-1,420749,-1,-1,-1,-1,-1,-1,-1,210918,-1,120955,718737,-1,959830,479915,312711,-1,-1,83746,-1,677101,850662,440133,-1,-1,-1,785646,-1,-1,810735,543388,984429,-1,849465,-1,-1,613924,-1,521396,437923,-1,-1,-1,-1,484337,364788,-1,-1,114164,226952,-1,89262,-1,-1,-1,-1,813567,498520,816058,282763,-1,-1,258826,832987,-1,394439,-1,58903,858550,-1,-1,-1,507550,-1,813774,43222,-1,677788,978982,232935,314369,-1,818252,-1,-1,-1,-1,750429,-1,985638,-1,-1,849000,-1,-1,-1,652721,562875,-1,-1,327119,2467,260692,168125,475010,-1,573397,-1,-1,608023,539906,598030,378829,-1,-1,168454,917912,743381,114528,711687,-1,226246,71269,161609,-1,314605,-1,871427,-1,-1,-1,-1,-1,566358,-1,963067,-1,-1,106828,933616,-1,70225,-1,976275,-1,645210,974309,-1,-1,381258,-1,-1,831987,143207,-1,341754,-1,478780,-1,-1,-1,-1,-1,-1,726254,66051,-1,-1,-1,324984,790643,-1,-1,40622,-1,368416,354347,-1,315290,646581,158462,-1,-1,513033,-1,650324,238710,-1,-1,-1,-1,738912,486294,917538,-1,-1,374149,-1,25826,120119,-1,-1,-1,-1,21723,-1,506955,784225,397622,881269,225193,-1,798066,-1,471572,-1,478194,-1,-1,176689,220483,-1,-1,-1,124074,444904,780778,572642,-1,649523,-1,55432,352580,-1,-1,225587,-1,-1,-1,-1,-1,675813,448339,403496,401927,162285,335978,-1,-1,372688,91105,-1,609417,-1,-1,135192,-1,724308,-1,304401,479105,-1,-1,675955,-1,-1,581322,-1,-1,-1,56109,860291,-1,-1,-1,-1,712148,953824,-1,310088,-1,235496,-1,480355,-1,-1,-1,912941,591869,-1,-1,928210,183853,-1,934141,15903,-1,-1,-1,-1,-1,-1,896539,-1,691964,-1,853611,-1,-1,-1,-1,-1,788230,860105,-1,-1,648023,244072,-1,66629,993321,-1,733723,521028,957089,353072,-1,-1,675506,-1,812285,42280,-1,-1,-1,61172,-1,-1,273755,782335,-1,128029,-1,-1,784974,353943,608445,-1,-1,-1,163014,-1,450806,-1,370713,749557,453134,-1,-1,702771,-1,21351,-1,277309,-1,506838,-1,-1,462465,-1,853098,-1,-1,954688,435316,600998,-1,160776,-1,-1,466482,959749,-1,-1,366212,789346,-1,-1,-1,-1,333818,50497,-1,-1,-1,-1,50317,496646,77730,-1,404569,348112,-1,-1,-1,-1,341808,-1,-1,73493,-1,308710,-1,485565,-1,-1,-1,-1,-1,808757,373364,-1,494127,430021,705649,-1,238055,-1,-1,-1,-1,194973,-1,849074,-1,-1,-1,748173,190324,-1,-1,-1,-1,-1,305724,-1,204842,84001,-1,-1,-1,185673,-1,504578,-1,737346,243831,-1,-1,991934,-1,61630,-1,506868,19363,437811,247832,-1,470662,365592,-1,-1,-1,-1,-1,622600,720999,224194,-1,-1,-1,862803,916258,-1,-1,-1,-1,277610,297553,-1,195586,-1,679408,591655,295409,-1,-1,-1,-1,-1,158532,518506,-1,238245,737927,-1,-1,881200,639313,-1,-1,-1,206031,-1,394147,539615,735324,-1,-1,706924,483917,-1,-1,972467,601917,-1,-1,-1,-1,-1,-1,79541,-1,437685,997743,113476,-1,628451,495743,51515,-1,181285,-1,72113,642888,158553,-1,545663,796358,213173,655505,-1,-1,984693,-1,-1,304886,-1,981372,-1,-1,327490,932999,954415,242936,548454,-1,378346,-1,317637,947206,612610,697961,-1,-1,505628,-1,-1,-1,479217,-1,-1,-1,247007,-1,-1,910780,181647,258088,196068,793292,-1,-1,450432,-1,93761,-1,668779,-1,-1,311789,696513,170640,160314,-1,105286,-1,-1,342894,-1,-1,-1,587054,741729,-1,-1,-1,859531,-1,-1,211387,-1,117299,-1,633343,423499,-1,-1,-1,-1,-1,-1,156932,-1,535121,695467,-1,138867,453246,462522,-1,-1,-1,515239,256164,182618,923998,-1,-1,-1,865694,-1,693280,-1,-1,234520,-1,625553,589588,-1,-1,868687,106561,-1,-1,729625,555350,764118,-1,2718,331129,-1,462165,-1,718773,11294,-1,38678,3030,803196,902484,-1,404319,-1,-1,-1,616572,-1,-1,109618,-1,-1,-1,722933,-1,408123,595116,-1,-1,292418,903610,829740,-1,-1,105016,-1,-1,920129,-1,132671,-1,-1,344153,463160,313317,-1,-1,-1,-1,458048,782427,-1,-1,435579,-1,128450,-1,837501,672127,-1,-1,236328,-1,-1,-1,-1,-1,-1,641747,802341,437016,107257,-1,-1,780340,-1,-1,-1,-1,-1,438458,405209,-1,360069,-1,730579,-1,846807,744330,768586,-1,-1,-1,-1,533734,-1,646489,363352,-1,-1,-1,625975,-1,-1,800250,-1,446670,937163,-1,-1,-1,-1,47658,803239,55698,-1,-1,-1,-1,-1,-1,-1,-1,249367,-1,-1,667366,211361,-1,820932,613998,-1,974241,658833,-1,-1,-1,-1,-1,-1,-1,553496,-1,-1,-1,-1,726936,348223,-1,-1,936469,-1,-1,-1,694817,-1,-1,249753,329602,550174,152879,456994,-1,589795,812165,592861,-1,-1,940741,981959,-1,515659,648063,204871,602703,224994,561104,701202,-1,-1,-1,-1,-1,53631,-1,-1,6671,-1,-1,708290,-1,436416,553196,-1,662078,802059,445911,388970,188911,448319,-1,-1,735924,197271,885960,-1,149504,-1,-1,264517,-1,-1,955623,-1,-1,-1,75089,-1,-1,551978,667618,-1,-1,158504,773672,643873,-1,-1,-1,-1,874724,-1,668998,355274,-1,-1,696546,-1,16443,216442,104826,-1,800867,455986,362889,968204,-1,715719,165169,125902,787445,149832,245338,-1,797110,726500,954841,33702,-1,774841,787758,-1,506308,933113,-1,208616,955067,692782,669708,395310,-1,-1,-1,51687,-1,109093,468319,861383,-1,754523,-1,960759,639720,-1,-1,974935,-1,-1,-1,39125,451856,-1,-1,-1,183065,957086,754027,322408,635224,603534,-1,406351,439506,-1,692743,-1,172665,46509,255663,262901,-1,511311,-1,875514,-1,896379,581904,484400,970015,114848,344616,-1,-1,-1,190037,892052,142669,874366,783368,-1,130227,-1,-1,718679,-1,122299,-1,-1,43779,-1,-1,744261,771518,-1,828242,119716,510145,-1,-1,-1,591794,648678,8958,432701,653889,-1,790323,-1,-1,967916,-1,-1,-1,-1,138001,-1,229833,64737,647745,-1,784196,-1,556890,349016,914714,917172,876008,-1,-1,480361,596525,-1,469265,-1,900080,703035,-1,781958,-1,398841,947296,339717,421730,-1,-1,-1,132100,967137,-1,35334,-1,-1,-1,164732,-1,876040,-1,-1,741561,-1,506824,-1,469323,164605,-1,430872,-1,764212,-1,-1,-1,-1,303632,-1,398877,464056,67159,-1,-1,-1,-1,803287,607400,-1,-1,820586,-1,-1,-1,-1,135899,402406,-1,-1,-1,-1,448687,-1,767773,165523,55485,-1,260226,815673,-1,410064,-1,838933,172687,693093,-1,588643,9349,95067,-1,-1,-1,-1,-1,-1,-1,-1,906174,752568,769224,94678,-1,-1,907376,-1,815937,823527,-1,463824,-1,878212,-1,90544,779016,-1,411047,962436,-1,-1,9762,129570,661068,724046,928355,-1,-1,896934,-1,-1,364342,-1,-1,726735,-1,718346,-1,-1,102856,560675,-1,-1,-1,288035,13737,312493,805051,730351,451182,991646,784002,424156,646595,318867,-1,-1,413289,412878,496822,867404,997512,780920,-1,-1,592149,488941,945263,983534,922496,-1,-1,-1,-1,-1,62060,231952,-1,-1,-1,74053,313215,738616,216668,779257,-1,-1,-1,-1,-1,-1,904680,18469,137144,-1,-1,432927,889819,565143,-1,240441,11907,33619,165233,-1,60059,380482,425888,549848,-1,41805,245411,391152,-1,10487,-1,-1,-1,-1,-1,967198,589674,-1,-1,-1,809716,481990,619798,356001,266245,382741,140423,620214,-1,-1,578678,158997,-1,-1,333923,-1,739025,-1,909773,-1,572497,-1,28775,-1,910790,93158,41661,-1,914679,-1,291139,672251,106693,-1,-1,798879,-1,-1,-1,-1,-1,-1,381416,182337,159134,-1,181947,-1,456604,161220,714600,965061,562017,-1,-1,-1,-1,-1,-1,247410,-1,-1,764179,-1,-1,305584,241838,987308,65134,-1,322388,518576,-1,121385,711999,738643,-1,-1,-1,-1,-1,75414,14603,776201,-1,-1,880540,831991,-1,-1,-1,-1,-1,-1,-1,-1,975870,213247,281772,700031,-1,-1,-1,169340,-1,-1,216301,-1,217860,-1,-1,595544,-1,-1,-1,792769,212572,-1,-1,786576,-1,184828,-1,113485,-1,-1,27989,658236,857173,573126,606235,281621,119749,883285,206676,-1,-1,745449,656722,942910,-1,988204,936646,50440,675451,33306,-1,-1,-1,737728,-1,-1,-1,4115,-1,934587,88745,470673,286229,-1,633377,-1,-1,-1,769145,-1,-1,992644,150288,-1,320390,-1,98953,-1,71162,-1,-1,702626,-1,-1,-1,39444,-1,-1,743578,500488,-1,-1,-1,279436,952391,-1,504167,533187,-1,793067,-1,-1,-1,421586,301076,-1,228722,-1,-1,938825,-1,-1,417408,-1,19993,-1,46414,991765,237122,979164,539587,387740,380909,-1,490835,-1,916744,87614,688824,456748,-1,-1,-1,85426,571120,491792,-1,-1,162042,-1,-1,104308,247495,789685,875807,-1,581238,-1,-1,-1,-1,648647,-1,803451,-1,-1,38296,-1,-1,128538,-1,309272,-1,-1,-1,592642,300410,-1,-1,-1,-1,-1,691086,-1,670037,898882,122646,980912,739992,608604,-1,-1,-1,794643,224243,996507,-1,-1,-1,576838,449852,836803,-1,-1,-1,272801,867857,-1,-1,-1,404317,-1,592736,-1,54677,-1,-1,851691,-1,-1,-1,-1,-1,454263,164537,-1,-1,311934,735055,558898,978822,6912,-1,-1,-1,316295,252952,-1,944929,504081,-1,-1,-1,812741,36814,670500,-1,-1,-1,-1,-1,349110,754076,-1,-1,-1,-1,197081,-1,8262,-1,623222,557183,-1,-1,-1,935577,871617,7703,-1,178046,821347,452847,272500,77597,485661,-1,-1,-1,-1,968992,364469,-1,490865,-1,-1,-1,138363,553074,747907,-1,961117,344870,851653,-1,8533,593668,54641,285478,799751,-1,-1,456983,149071,-1,549156,174297,-1,583560,419920,487489,-1,-1,265323,156238,957204,-1,93371,751898,724847,-1,743131,-1,-1,-1,187114,456426,-1,43766,266400,130362,-1,-1,32179,899561,835282,-1,488837,187521,400195,-1,-1,866670,625491,131817,-1,120762,20070,-1,184604,-1,-1,395556,-1,322510,-1,988638,318466,940175,2364,-1,105946,836060,-1,459829,495755,-1,-1,46341,683122,826045,72682,-1,672443,-1,204457,275268,21394,-1,973064,14277,-1,504557,-1,222719,-1,-1,-1,-1,-1,517119,-1,610170,-1,-1,-1,-1,-1,135939,-1,547749,-1,457102,624843,-1,647431,-1,-1,-1,-1,-1,593871,-1,-1,-1,381911,-1,-1,-1,74517,265046,-1,-1,-1,331761,-1,-1,-1,-1,546491,-1,78359,897018,675416,290997,839005,-1,803359,-1,173732,-1,255926,362394,628722,246319,-1,-1,460126,140971,821291,-1,160011,-1,204902,-1,244459,-1,-1,594342,60095,879272,-1,-1,710631,-1,548688,-1,891911,-1,-1,-1,823497,447419,491870,-1,-1,270528,890090,-1,-1,491878,-1,558351,630039,936294,-1,-1,931840,-1,410755,-1,-1,-1,-1,919085,9102,914621,-1,887838,712082,-1,-1,-1,-1,-1,858219,-1,-1,579828,285196,233330,-1,147867,265327,-1,865716,422176,-1,264032,-1,-1,466556,-1,-1,-1,347037,-1,-1,-1,970550,706658,661722,434370,-1,-1,-1,862243,398935,-1,945348,-1,822401,-1,846789,252753,-1,-1,836758,-1,-1,-1,-1,530476,603091,-1,443056,714409,-1,-1,705590,-1,342595,709344,-1,979866,434360,-1,860578,-1,469655,-1,-1,275247,611131,467464,624026,-1,-1,200387,375376,-1,340090,483145,-1,479552,-1,-1,-1,587034,110516,-1,-1,-1,-1,-1,-1,-1,770545,-1,-1,442738,-1,-1,-1,938403,733292,528842,-1,-1,-1,-1,-1,-1,883512,271875,-1,271896,646372,212511,996932,879826,322127,-1,-1,-1,203756,-1,174553,-1,396052,-1,222685,121095,-1,821933,946290,203939,175978,-1,-1,812946,668126,656481,-1,554015,-1,647257,537927,691023,693958,948052,214249,-1,-1,-1,-1,-1,-1,968592,590796,-1,-1,-1,-1,-1,871137,449391,-1,690139,-1,215830,443181,-1,585373,838982,799609,386273,-1,-1,-1,776531,1605,-1,-1,-1,-1,-1,704911,-1,369768,302604,946492,228689,610693,86205,-1,462008,-1,621213,-1,749774,607255,-1,-1,-1,378510,-1,-1,-1,986507,-1,860694,948107,502204,434444,-1,235169,-1,971919,445266,-1,223492,166101,-1,-1,-1,-1,838575,661047,-1,-1,-1,489743,96126,-1,-1,146290,-1,946718,76749,-1,885074,103180,-1,-1,-1,472195,989498,714967,-1,279609,-1,889509,283540,957332,-1,-1,-1,400179,-1,282037,220943,-1,502454,352361,996715,790154,-1,-1,-1,-1,-1,859196,352271,144502,802817,234097,402362,-1,666970,-1,739395,-1,824089,356315,495605,-1,-1,240369,-1,-1,-1,616167,-1,-1,-1,324852,-1,699330,702377,479267,-1,-1,-1,209227,979067,-1,424254,-1,727171,7177,413487,179196,687642,-1,-1,358023,-1,-1,-1,-1,-1,-1,831824,-1,384726,-1,-1,774695,-1,922977,9659,-1,311825,577893,600100,-1,895740,940000,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,463904,-1,-1,-1,-1,-1,-1,-1,975740,515344,-1,-1,-1,-1,-1,343033,-1,460663,492026,-1,-1,-1,-1,938226,-1,-1,30335,744249,315977,619736,-1,-1,690538,503857,374878,-1,-1,-1,143661,916364,530469,-1,381853,-1,-1,511247,-1,-1,77925,541700,744493,427401,-1,532520,-1,221059,-1,-1,-1,325222,574526,407200,698789,686495,-1,803742,-1,267901,-1,806748,63174,284902,-1,915215,-1,-1,-1,655929,350739,281400,232465,-1,-1,-1,573202,-1,-1,921666,510626,338199,-1,-1,-1,159718,-1,497297,872140,313938,841843,-1,294598,675870,-1,-1,-1,-1,-1,-1,896314,842716,-1,-1,681814,599612,655551,767855,310928,-1,727982,-1,300346,437796,-1,-1,-1,-1,-1,-1,-1,-1,403513,431930,-1,-1,-1,-1,-1,799161,19366,13244,-1,-1,-1,-1,-1,559385,-1,312796,88514,-1,517711,114172,-1,-1,887403,-1,464093,357968,-1,712843,-1,705212,199944,624729,660900,963264,298313,727111,-1,454574,884853,447413,-1,-1,720459,912737,985911,-1,292764,-1,-1,519097,95537,-1,-1,8448,-1,-1,222947,929961,35659,840315,368773,-1,42372,-1,319355,561480,-1,366831,-1,-1,-1,876303,-1,-1,985011,-1,662420,-1,-1,31350,425649,-1,551016,919292,91957,-1,-1,858978,-1,-1,-1,-1,964755,-1,308920,-1,-1,778178,861503,-1,-1,225700,-1,673676,-1,-1,-1,-1,1440,-1,421328,706560,247797,-1,-1,686729,554899,812830,-1,-1,265171,-1,655854,-1,124772,443314,513922,-1,-1,-1,570502,-1,866146,879315,-1,771011,-1,617293,-1,-1,535198,-1,26075,77714,-1,349574,-1,640139,-1,353463,559290,340513,185481,278716,-1,647561,243930,-1,-1,834484,139043,401653,758134,-1,-1,-1,-1,273144,859341,403642,923929,-1,533354,-1,105648,-1,-1,-1,-1,882734,-1,-1,58122,197892,-1,-1,-1,-1,614511,-1,-1,902474,-1,-1,484309,-1,479969,954661,-1,-1,-1,-1,-1,3004,709870,312420,397235,-1,846911,897438,71407,390135,1233,-1,-1,885699,465157,629237,-1,-1,786591,-1,976065,735335,700889,-1,-1,872129,630599,821245,-1,-1,151241,279797,749430,282204,-1,-1,472711,-1,-1,-1,-1,-1,684416,-1,60493,-1,-1,283982,-1,74780,507759,444485,491015,-1,-1,108215,-1,353305,447728,96684,9226,-1,-1,844221,676194,-1,-1,594997,307420,768571,-1,-1,-1,506079,385064,-1,694312,707529,-1,-1,-1,472141,702444,-1,969189,651606,-1,-1,-1,-1,-1,-1,99950,395558,559044,843362,-1,-1,921024,81412,-1,279808,811968,-1,479957,501961,528771,417163,-1,-1,798689,877274,523867,-1,-1,-1,839445,-1,-1,-1,642923,-1,-1,-1,-1,888381,-1,847163,781425,-1,-1,589763,123839,-1,888365,77946,-1,748572,-1,-1,591326,-1,-1,-1,-1,264220,-1,-1,-1,613989,986666,-1,-1,-1,936015,428460,424939,-1,-1,-1,-1,-1,-1,-1,812903,-1,124286,545040,242218,-1,195997,350893,-1,-1,155056,683042,-1,539625,745755,-1,844770,627347,-1,557589,125385,-1,-1,-1,-1,-1,692953,-1,-1,-1,507283,-1,87774,123128,-1,283297,-1,-1,482413,-1,45025,653665,527424,755589,-1,-1,811386,-1,252999,794249,-1,-1,-1,839708,-1,923760,-1,-1,-1,-1,-1,-1,-1,980498,709899,-1,37093,-1,-1,-1,-1,-1,-1,-1,57832,758074,-1,115303,-1,576006,638963,908851,841289,-1,95605,-1,-1,14834,-1,-1,-1,214220,239205,189088,-1,401603,510479,-1,819400,88169,-1,-1,-1,-1,-1,-1,515179,-1,304539,313181,184944,779136,-1,-1,331538,537176,737732,613610,-1,-1,-1,-1,892119,-1,13630,-1,-1,288201,438942,-1,-1,685763,-1,629164,789585,213980,597633,-1,400438,-1,141841,-1,924163,536822,419455,728864,-1,66785,815436,484571,47330,272893,-1,-1,585169,-1,-1,812958,575012,-1,38526,25730,-1,971154,-1,69821,58897,-1,-1,-1,980987,-1,-1,667562,801649,-1,201447,-1,416571,528899,621005,-1,313776,635976,233738,423374,-1,900764,734268,211543,-1,896841,-1,-1,714526,970134,917901,449281,-1,-1,150756,480340,988198,661679,86894,-1,-1,-1,-1,-1,-1,-1,757997,953993,691489,-1,-1,-1,-1,271669,466197,-1,706671,698975,-1,922947,-1,-1,124970,-1,-1,954061,-1,828915,-1,913218,-1,237503,742807,959920,402684,148990,989615,-1,-1,-1,418983,645615,-1,677286,-1,-1,-1,617983,832591,135418,350613,-1,-1,-1,884384,861097,-1,-1,-1,-1,-1,124721,51493,-1,680792,107880,-1,-1,769288,-1,410017,-1,650739,91554,829822,-1,-1,-1,-1,-1,81633,38983,-1,-1,909776,672609,536075,940858,582278,26024,-1,437626,311613,640943,681103,-1,-1,-1,-1,929269,130587,-1,565929,8895,636089,342763,848118,-1,-1,-1,310608,751513,242976,-1,-1,844538,-1,-1,-1,389863,820952,431746,-1,617434,876583,-1,961801,456434,-1,-1,-1,813941,-1,-1,234851,305059,-1,176050,562680,-1,-1,-1,-1,-1,-1,-1,-1,49166,952598,-1,152854,-1,-1,-1,-1,-1,252112,-1,901298,674170,-1,-1,-1,385986,-1,138554,818931,-1,240799,248825,675599,-1,664205,667380,-1,-1,754163,713050,-1,330067,-1,-1,826706,720610,516898,-1,791254,-1,399062,672977,494543,-1,724759,745309,-1,485700,-1,-1,-1,-1,790197,898115,-1,235073,357263,-1,670276,-1,927068,643112,-1,-1,324593,-1,732636,-1,-1,-1,-1,-1,412538,27471,-1,568786,-1,742379,938461,195329,-1,742465,891308,72562,-1,-1,723875,-1,-1,494699,169244,-1,121051,55149,648300,-1,-1,-1,-1,-1,-1,-1,-1,106492,201012,-1,421219,-1,843684,-1,-1,-1,-1,-1,998221,-1,709069,-1,-1,902169,-1,982401,-1,481881,-1,-1,-1,-1,860376,-1,-1,-1,918499,-1,-1,897687,414179,792270,-1,-1,494491,-1,895630,-1,-1,-1,-1,-1,-1,590111,643926,-1,-1,-1,-1,431276,-1,-1,-1,77918,557491,770251,742093,-1,-1,-1,957358,717394,544471,271445,871980,-1,-1,-1,-1,-1,-1,614162,197589,507075,808918,-1,200703,768360,-1,608520,-1,670167,435768,952361,121488,263597,-1,-1,-1,293084,669372,930102,-1,-1,-1,810492,-1,189617,-1,87798,-1,842194,744477,671719,-1,-1,-1,-1,-1,126074,34461,-1,-1,80658,-1,-1,-1,-1,-1,-1,221594,-1,-1,145727,182724,-1,509158,60718,-1,-1,-1,487117,38075,-1,603205,-1,-1,-1,-1,618745,641018,747429,544863,725052,-1,-1,-1,-1,-1,445523,-1,901360,-1,-1,-1,-1,-1,204239,248415,-1,-1,-1,760657,-1,-1,-1,-1,612546,-1,146427,79619,-1,-1,116221,-1,-1,563574,423179,-1,33341,-1,429009,-1,576259,284306,-1,45624,-1,-1,391533,60196,-1,803784,935574,183328,89221,-1,489057,353404,835521,-1,856052,38960,-1,786411,490609,-1,-1,-1,714381,909842,-1,966065,-1,-1,-1,-1,153011,-1,163021,367025,543831,527721,-1,-1,-1,-1,-1,896423,997566,-1,-1,410139,917503,-1,242615,642210,-1,-1,150758,-1,-1,-1,-1,402874,510921,-1,832663,375646,-1,874804,742018,41727,808207,-1,522192,-1,-1,921808,-1,-1,-1,334760,130696,-1,926149,884727,-1,630738,792596,753393,-1,20904,-1,495645,-1,287684,-1,-1,34249,-1,422909,-1,-1,4483,451082,282736,670498,-1,846403,-1,-1,347382,-1,-1,846162,-1,895879,-1,-1,136240,-1,340016,823470,122137,357999,138724,3073,933414,-1,-1,-1,-1,662409,-1,-1,320969,75773,317456,-1,614415,-1,-1,37474,676675,804496,-1,-1,600995,373644,-1,-1,748735,442467,-1,958706,380437,-1,-1,-1,553721,-1,-1,617050,768166,-1,64073,-1,-1,-1,-1,-1,856794,-1,-1,-1,-1,828020,455580,383610,254485,326765,-1,-1,635286,10042,-1,349760,-1,-1,880145,474770,242637,424452,434982,322768,657533,747056,-1,853526,-1,-1,-1,-1,-1,317865,822620,900338,986439,5499,-1,212752,530542,287697,273818,-1,-1,-1,-1,-1,-1,-1,970364,-1,-1,-1,-1,408543,413184,353139,-1,-1,-1,-1,30624,410159,-1,196781,-1,819746,1762,454458,166265,686323,-1,185934,-1,-1,482970,-1,-1,-1,572684,639624,801778,-1,38315,-1,-1,258185,981213,-1,830438,421015,579669,-1,441264,107736,-1,638307,-1,-1,-1,-1,-1,-1,131230,269874,-1,556975,-1,593452,-1,683883,422488,732265,-1,-1,-1,670153,-1,248306,108716,579615,-1,272380,45404,-1,-1,569741,-1,40124,-1,-1,338824,435121,-1,436220,-1,732724,833653,-1,-1,-1,773440,226870,-1,886661,85217,-1,362515,931309,-1,-1,-1,-1,-1,639337,970577,-1,86220,446671,654352,-1,-1,-1,211531,-1,320318,-1,-1,-1,990674,-1,-1,906578,535061,434010,801540,976745,-1,772541,844853,-1,-1,-1,-1,780941,136375,512616,581693,-1,-1,-1,934371,718653,30634,-1,-1,-1,76481,508959,-1,-1,324283,-1,881538,-1,-1,-1,-1,-1,923955,-1,459720,-1,886911,507999,-1,879169,-1,784595,581259,108167,-1,461917,-1,-1,-1,601675,-1,-1,-1,-1,864535,365941,-1,-1,595060,-1,-1,-1,-1,631118,-1,965927,-1,-1,-1,-1,58667,-1,-1,323251,-1,-1,440419,847949,294071,293771,34561,-1,-1,91194,910430,-1,-1,573612,295171,934240,-1,734589,-1,950914,541637,-1,-1,-1,284425,-1,147668,-1,-1,-1,-1,679974,-1,930406,-1,917196,64307,964396,672616,-1,-1,-1,-1,-1,-1,475578,-1,-1,-1,-1,840621,831868,-1,836814,754634,-1,-1,26325,-1,817453,193277,-1,-1,882245,169310,887809,-1,-1,-1,174823,-1,505592,-1,-1,-1,-1,-1,-1,977198,-1,843701,-1,-1,-1,-1,-1,-1,886255,625487,-1,872234,597773,-1,729870,-1,-1,946545,-1,646578,647301,445367,474095,-1,-1,654912,330423,-1,327395,-1,935413,705921,-1,477111,-1,548983,416809,-1,41956,725088,885815,-1,-1,207869,-1,642728,-1,460747,108150,255924,-1,130983,-1,170960,-1,339965,306841,921982,-1,444536,839727,-1,-1,-1,640201,595420,688026,-1,-1,12478,-1,-1,474099,-1,846238,-1,-1,-1,579400,-1,-1,-1,194142,134567,-1,667734,535337,-1,456513,120916,-1,693284,-1,-1,-1,-1,104424,319236,890991,325257,971839,795054,312235,383342,-1,473427,700544,-1,-1,-1,100579,112011,-1,-1,-1,-1,462479,541536,-1,-1,-1,-1,803009,-1,185498,82074,392179,792368,739869,82390,410691,-1,-1,-1,-1,-1,478378,752113,478610,-1,-1,888994,-1,46081,-1,337718,-1,627825,609870,-1,-1,542135,505826,-1,-1,-1,-1,-1,-1,308124,387574,-1,-1,-1,3090,-1,330696,41366,-1,-1,539790,575493,-1,-1,-1,-1,-1,353502,-1,-1,431799,-1,-1,223797,-1,-1,-1,-1,834701,444694,226518,-1,-1,434697,-1,827293,884595,770325,594347,499756,-1,-1,623143,-1,-1,857797,-1,-1,-1,-1,-1,775807,775018,759889,-1,712622,562823,-1,-1,843134,-1,-1,550424,-1,923711,9005,-1,-1,255666,397363,-1,152860,287945,-1,-1,-1,-1,859933,-1,604671,782363,-1,-1,-1,137726,-1,-1,141376,-1,-1,936389,-1,71815,-1,-1,-1,-1,520112,908812,521958,-1,-1,595520,-1,-1,-1,13879,766768,-1,66087,-1,-1,-1,637789,661727,918989,124805,-1,-1,-1,18202,-1,703670,499168,-1,721341,817653,-1,-1,334251,914541,-1,619488,902445,714522,-1,-1,-1,-1,-1,473326,-1,791357,377360,-1,-1,972677,344714,-1,906765,-1,-1,-1,-1,-1,50271,-1,336290,-1,-1,-1,-1,-1,-1,775269,-1,204637,-1,430461,-1,-1,-1,-1,823218,603366,-1,203296,496931,700212,778643,141583,759245,-1,-1,-1,-1,-1,485709,-1,512923,348720,-1,468919,129331,-1,-1,-1,-1,-1,-1,-1,260534,-1,792208,47831,-1,-1,-1,775937,-1,-1,441842,-1,901676,-1,-1,246795,-1,445253,614063,828377,744145,-1,749287,-1,-1,49055,643781,-1,-1,265262,450662,-1,-1,-1,866050,-1,-1,-1,-1,178407,516859,-1,42823,969548,-1,207995,361425,-1,-1,-1,435860,215502,719667,31693,-1,404091,-1,539060,-1,-1,-1,-1,-1,-1,298743,-1,-1,972426,560924,314572,-1,644498,780668,323480,257,-1,-1,388965,-1,285912,-1,-1,-1,208197,819391,138665,968808,690336,-1,138602,306661,-1,194547,796686,766917,-1,293222,516544,257566,-1,-1,234005,272343,442498,126132,-1,682591,-1,709129,147117,-1,193699,847402,465088,485099,-1,-1,432341,-1,-1,-1,165882,760781,-1,576335,130212,-1,-1,-1,464309,-1,135155,-1,671,142331,-1,-1,-1,-1,-1,184369,-1,-1,-1,-1,-1,991088,-1,-1,-1,-1,-1,775198,-1,766374,-1,-1,-1,517764,801405,494334,-1,-1,-1,636876,632616,-1,312891,805801,-1,12386,466244,-1,981225,130681,812680,-1,-1,-1,93384,814260,-1,-1,-1,-1,568340,-1,-1,-1,786775,-1,244253,628809,-1,-1,-1,-1,352936,707700,253573,-1,-1,686717,-1,-1,-1,-1,168772,827241,-1,857328,93374,-1,615601,336909,226226,-1,-1,-1,-1,509415,-1,-1,149983,-1,494486,469179,-1,364156,814574,-1,59488,-1,911013,194504,438964,908148,345588,873624,-1,-1,-1,402068,-1,976469,205834,776910,-1,592406,-1,-1,225188,678531,-1,583641,-1,547920,-1,-1,901948,-1,53691,904897,468174,-1,662560,-1,523830,-1,601957,-1,725053,-1,437747,290264,-1,-1,-1,-1,-1,449593,45834,-1,178459,-1,467957,928426,-1,-1,-1,-1,632092,105478,-1,-1,744728,-1,-1,807044,272474,-1,99332,-1,-1,285989,518678,776341,-1,-1,-1,-1,59295,-1,675196,155311,466989,460555,-1,844740,-1,380141,183106,-1,-1,988391,-1,900020,866662,-1,981171,921494,254410,99010,-1,-1,120433,711187,-1,-1,297468,-1,-1,-1,-1,-1,355150,-1,-1,745085,-1,-1,166495,-1,677515,841179,-1,72509,-1,299233,-1,-1,570180,-1,-1,-1,743678,971485,414385,627593,-1,-1,-1,-1,-1,-1,507534,-1,-1,-1,-1,-1,104245,-1,713178,108440,-1,-1,842911,-1,-1,-1,442377,555727,-1,658573,709934,-1,-1,-1,218510,-1,481065,-1,-1,535546,905752,-1,95952,-1,-1,149749,-1,-1,-1,-1,-1,506227,81156,231075,-1,409859,-1,-1,-1,-1,-1,-1,-1,-1,-1,554331,462417,709394,-1,-1,139106,-1,-1,375548,-1,-1,134187,551012,-1,870864,104188,524632,-1,353588,699236,-1,855495,745791,-1,848214,-1,-1,794060,108,-1,-1,-1,-1,-1,-1,-1,477355,226872,319611,-1,328570,-1,802970,551728,65189,741547,947457,106344,750526,-1,-1,-1,33442,601314,-1,-1,-1,501109,-1,861976,-1,212172,-1,310836,267007,-1,-1,852406,-1,586743,783110,74883,-1,-1,790054,515849,-1,-1,381687,313764,-1,-1,-1,752270,-1,-1,187230,-1,-1,664754,559692,-1,-1,-1,-1,-1,911824,-1,428496,605397,479738,-1,540958,424872,-1,-1,-1,823011,273746,17355,734386,-1,161190,221152,-1,745505,682472,868410,-1,-1,988291,-1,514420,137228,928491,-1,269498,963714,587390,852827,-1,779398,793293,804947,-1,-1,354028,-1,640530,-1,-1,101497,11854,-1,-1,-1,-1,721932,-1,-1,388445,-1,-1,-1,-1,59703,436024,-1,-1,641223,-1,941045,226514,-1,212956,142230,-1,793383,-1,99448,-1,189906,-1,311537,-1,742073,138780,-1,135076,-1,516182,857659,827687,507431,-1,-1,-1,59210,-1,-1,-1,-1,373924,-1,-1,38419,-1,400234,557549,-1,-1,-1,-1,-1,443210,-1,-1,929206,-1,-1,731561,-1,886160,-1,-1,346791,520049,-1,-1,-1,486487,-1,-1,784526,237191,-1,-1,-1,-1,326939,-1,159217,-1,604876,701151,3475,230907,-1,162108,910057,991300,709915,-1,491209,954796,728797,-1,262548,889453,-1,228988,72725,156973,-1,-1,934434,-1,16808,-1,-1,-1,-1,871873,-1,-1,-1,-1,173022,-1,902355,808323,-1,-1,-1,-1,668720,19685,-1,-1,-1,915647,-1,-1,937967,-1,-1,886874,-1,-1,-1,-1,-1,-1,370765,-1,526909,517821,495610,581878,-1,-1,662821,515815,-1,-1,-1,201307,301092,-1,-1,828016,843948,564233,581899,356241,-1,-1,-1,-1,426399,338174,-1,786923,89851,-1,-1,-1,-1,758334,438045,221705,722522,815978,-1,751253,991341,-1,594176,-1,-1,469494,-1,829566,-1,-1,-1,230496,-1,543595,352868,-1,-1,-1,-1,760104,909399,4429,-1,-1,-1,-1,329960,-1,-1,-1,-1,-1,781343,-1,-1,435725,-1,-1,-1,-1,421232,980314,-1,-1,364227,-1,-1,-1,164143,-1,-1,586606,-1,-1,887250,627816,-1,-1,181193,-1,-1,-1,527337,470343,289229,-1,-1,-1,495559,262989,-1,-1,-1,30905,151645,-1,192412,788823,-1,63381,-1,-1,437172,175603,-1,116862,621042,-1,-1,-1,846420,-1,190061,282675,635951,-1,-1,-1,-1,17999,-1,-1,-1,462694,-1,951645,412705,-1,-1,-1,364065,-1,-1,-1,669454,-1,-1,494541,-1,-1,886212,-1,858313,831020,437521,81919,383389,-1,932668,453826,-1,30970,-1,-1,-1,809980,-1,937479,-1,496155,-1,179026,210055,-1,-1,816851,925897,967793,917504,399858,52867,-1,723648,-1,-1,987544,-1,-1,-1,-1,443392,912222,-1,57199,-1,-1,829686,398078,-1,-1,848122,339830,466053,-1,622153,-1,-1,-1,778142,-1,279326,343091,893019,467808,679523,-1,-1,-1,-1,-1,-1,-1,521020,-1,-1,-1,-1,-1,255168,-1,-1,383944,-1,547651,608503,-1,681805,462244,146589,596236,-1,-1,-1,782131,-1,706343,140842,558645,-1,475915,36215,170026,-1,-1,275452,506210,-1,511438,-1,-1,954405,-1,154210,166060,281680,-1,-1,-1,-1,-1,-1,809622,862500,435928,530370,-1,-1,-1,-1,397317,-1,34145,547306,138264,515836,130452,-1,817751,99207,341791,791545,667455,691135,653086,986878,-1,502937,-1,226011,-1,549103,864387,781066,791443,-1,-1,164405,-1,132368,-1,-1,55170,-1,-1,182625,753586,25952,814096,-1,399074,536847,286901,850642,-1,601671,431513,250202,-1,-1,927688,-1,-1,-1,358577,421293,783623,-1,947209,-1,-1,148422,-1,793721,311700,-1,966463,-1,643799,-1,365760,-1,909024,944731,-1,365689,-1,192218,-1,666460,-1,66217,-1,-1,-1,108729,880421,896068,-1,-1,-1,424075,379205,729587,321674,736458,406593,-1,-1,-1,-1,59944,-1,69755,-1,-1,-1,883873,-1,-1,432559,-1,97084,-1,-1,255721,948145,-1,475057,-1,-1,146793,-1,-1,-1,-1,985550,868165,-1,-1,-1,568266,-1,-1,872971,-1,-1,-1,433988,125807,-1,871625,-1,-1,967653,-1,-1,593432,920663,-1,-1,409963,463656,-1,631811,-1,124405,532210,744229,150387,387149,-1,200074,140153,48480,-1,732222,79450,785140,409560,-1,-1,-1,747637,-1,-1,691004,-1,324029,-1,-1,243701,180046,766897,-1,-1,-1,-1,-1,-1,-1,206626,-1,-1,468225,-1,-1,976733,-1,-1,917638,409113,675091,870887,-1,136363,-1,-1,-1,-1,245686,-1,501924,-1,766618,411300,-1,-1,751260,45047,433586,-1,75449,847815,97623,134922,-1,-1,489965,263583,-1,-1,52168,-1,556107,-1,-1,564520,-1,967231,-1,-1,-1,867723,414851,-1,-1,888246,-1,454061,439673,-1,-1,916174,-1,-1,450745,172927,844156,786620,448288,607791,968251,-1,-1,-1,284450,71708,-1,572299,-1,48725,-1,539140,922181,-1,-1,5067,544114,-1,-1,-1,72048,393031,-1,799734,-1,586925,-1,-1,669024,425659,427476,521137,-1,347284,-1,908455,66906,328732,835021,607929,406307,-1,-1,771234,-1,829572,-1,-1,605473,859434,995718,-1,-1,461684,60221,512880,-1,-1,-1,-1,-1,197805,127272,103402,-1,-1,-1,-1,667203,-1,-1,575760,-1,-1,-1,-1,685729,-1,105207,-1,190072,-1,-1,-1,-1,797359,975475,458407,-1,-1,-1,-1,506742,62189,-1,-1,228527,-1,-1,516145,-1,-1,455089,-1,669904,-1,-1,218310,367098,660825,70367,451920,-1,449350,-1,863198,-1,-1,922455,-1,-1,784752,848895,-1,196293,-1,-1,397351,93379,910318,-1,-1,-1,-1,-1,-1,-1,-1,-1,26895,-1,-1,-1,-1,415465,171140,-1,-1,-1,195146,228719,-1,-1,-1,-1,-1,-1,-1,-1,522954,917293,-1,-1,444795,-1,271627,169068,-1,-1,819865,141325,-1,285376,679557,876734,284443,-1,512545,826446,408046,108373,-1,-1,788263,-1,-1,-1,-1,-1,-1,960492,-1,-1,-1,151533,402518,-1,-1,197547,-1,-1,-1,172338,38970,35836,-1,-1,394682,909434,801230,-1,480591,515035,-1,-1,-1,-1,-1,752025,858581,727636,-1,-1,-1,970288,197101,435279,-1,-1,-1,-1,-1,132766,823233,-1,-1,-1,162037,557954,-1,-1,566444,550450,-1,-1,13027,-1,123688,777667,807953,-1,121117,-1,-1,285496,636962,-1,-1,713464,428992,-1,509093,-1,-1,-1,75831,817951,658162,-1,921534,235071,540962,479584,-1,-1,104638,747518,376504,722645,370327,258412,-1,-1,-1,451432,-1,124947,-1,-1,700331,106341,613847,-1,-1,943242,41279,808417,24705,559058,-1,-1,-1,999976,861809,909028,153021,539696,906994,-1,921053,-1,654291,259524,-1,864317,519697,316724,-1,332035,-1,-1,434141,-1,197700,162991,739084,792852,-1,-1,447657,753066,91329,-1,662592,576777,-1,-1,550573,199724,133238,-1,-1,277135,-1,514822,-1,-1,654299,-1,696253,-1,-1,487058,920731,260248,-1,-1,106202,324493,-1,-1,-1,-1,-1,709016,-1,37039,-1,-1,891877,-1,8797,-1,-1,-1,903682,-1,-1,935805,-1,128482,552371,-1,776799,-1,784203,-1,-1,-1,79286,-1,234570,55929,-1,2186,949912,-1,475765,384866,608269,-1,-1,-1,293538,745026,-1,477650,-1,177332,817932,887733,-1,916802,222853,634750,-1,-1,327110,-1,-1,-1,370687,703286,982845,810250,-1,-1,-1,-1,899947,652667,988122,-1,-1,-1,-1,576619,362690,400899,-1,43132,76853,764475,-1,-1,113985,-1,-1,-1,709560,640098,525620,-1,846508,-1,94036,950234,509913,544239,911501,-1,712403,-1,321126,-1,-1,-1,-1,551104,-1,-1,995646,-1,148182,-1,-1,4289,377814,-1,838018,-1,698918,174530,-1,488709,896041,812072,-1,-1,-1,115824,178553,-1,962291,-1,-1,296418,-1,-1,-1,386802,-1,-1,-1,-1,49609,-1,-1,-1,424642,539358,-1,974977,186388,997670,-1,934787,348227,865054,-1,508027,578587,-1,321055,-1,34963,-1,-1,491111,-1,494900,-1,-1,483454,-1,-1,882643,-1,-1,-1,169586,483794,343649,987965,549920,3274,-1,-1,-1,-1,165119,20691,-1,-1,-1,662403,-1,-1,72975,-1,-1,529733,533694,787669,95769,790789,993290,26727,-1,21661,557819,-1,-1,778567,-1,-1,956122,-1,-1,25195,-1,61910,-1,290350,-1,88349,889539,922854,-1,-1,141208,-1,-1,322012,-1,495761,489652,-1,998820,867668,-1,834889,-1,874412,829121,539585,350865,76926,183214,403168,-1,845198,-1,822950,-1,-1,-1,-1,253894,894762,-1,-1,421906,750711,317063,-1,-1,950254,-1,-1,140517,-1,-1,-1,-1,61835,421901,-1,-1,301842,919861,166270,-1,90637,287659,-1,-1,-1,749216,476656,698262,-1,-1,-1,-1,663615,80537,-1,-1,-1,-1,668575,-1,-1,-1,-1,902671,458972,683404,-1,-1,611486,424339,874123,-1,-1,604750,-1,-1,-1,-1,216234,671475,775945,326776,-1,366802,-1,-1,793567,719228,-1,-1,-1,160160,628315,-1,-1,-1,692634,-1,-1,-1,244520,-1,617677,-1,-1,194194,456510,390966,-1,-1,-1,-1,507961,441676,-1,-1,-1,325004,-1,587293,247399,67248,-1,687938,846182,-1,-1,760575,-1,197457,116106,680321,803732,-1,-1,-1,-1,-1,-1,-1,-1,748151,-1,72025,449423,-1,994473,-1,377294,-1,299675,214149,591845,389370,-1,893839,-1,-1,-1,682981,759220,-1,-1,217772,121060,962247,534599,-1,604437,985970,769419,-1,-1,-1,-1,-1,418676,697840,636133,815777,53761,236875,761726,-1,916239,421945,623635,-1,918653,24921,826383,-1,-1,981977,254482,-1,-1,-1,-1,168952,-1,-1,-1,-1,-1,-1,-1,178124,-1,808007,960989,-1,-1,-1,-1,969445,-1,971391,-1,-1,262136,795212,-1,-1,85867,-1,-1,-1,-1,613785,-1,-1,26266,201162,-1,-1,583175,815234,529193,910235,-1,75518,614713,-1,268530,-1,-1,554552,-1,-1,-1,-1,233281,-1,274431,198602,37218,446569,-1,-1,-1,-1,107919,589497,-1,462876,-1,-1,-1,-1,-1,635424,522165,-1,-1,-1,989258,-1,725671,-1,-1,-1,-1,-1,-1,822340,401146,478634,912930,757583,877832,-1,424020,629604,-1,-1,737676,172071,-1,158963,253694,-1,486856,195896,-1,937757,665527,691657,-1,259134,986084,416118,137345,-1,-1,-1,169725,483347,76497,-1,482031,-1,-1,-1,247337,-1,-1,75399,-1,-1,-1,-1,-1,-1,549054,-1,-1,-1,-1,315074,10392,-1,-1,82925,776665,682516,868224,533892,-1,264575,472917,-1,-1,422861,683126,-1,55798,-1,-1,-1,-1,-1,-1,-1,792867,-1,71602,118198,65954,-1,459969,269042,-1,364103,823807,-1,-1,-1,-1,-1,377295,390779,-1,-1,-1,732150,52804,-1,-1,282615,937089,-1,-1,520053,934133,383691,65072,745527,185804,41010,715548,-1,-1,-1,156407,164924,588470,531042,-1,235885,-1,526512,-1,-1,279464,-1,399479,-1,528902,734817,800634,123405,-1,-1,-1,948325,-1,233285,101809,-1,-1,-1,680218,59069,25404,-1,-1,-1,681046,273427,-1,537320,259224,795092,-1,288834,79899,-1,-1,339575,831874,-1,84699,-1,-1,-1,604332,-1,-1,-1,-1,413687,-1,151423,-1,-1,-1,984350,463095,205390,951207,-1,814125,-1,-1,-1,572110,898197,-1,74509,56907,-1,53004,-1,183249,558676,274919,-1,-1,35456,-1,-1,-1,795861,885341,-1,-1,-1,388160,-1,38375,353518,91524,346355,-1,-1,166508,749205,-1,-1,265535,971683,-1,-1,-1,-1,-1,734160,-1,-1,986292,922062,955633,-1,-1,-1,-1,-1,-1,-1,372776,513141,717483,173442,-1,728352,-1,-1,350934,794011,985785,-1,-1,-1,904265,-1,-1,-1,-1,466557,-1,-1,-1,448279,887329,-1,-1,-1,-1,-1,637229,925291,-1,-1,590292,-1,799198,-1,94023,985103,230478,77146,552931,-1,972694,-1,-1,-1,642671,-1,334534,-1,-1,-1,-1,-1,951288,756191,389851,-1,918128,-1,-1,-1,-1,-1,-1,-1,97035,283507,725296,568626,715758,-1,-1,-1,121700,-1,-1,44071,-1,891585,-1,-1,750467,826104,974619,954271,-1,-1,244358,-1,-1,-1,-1,-1,508794,214227,-1,388409,318902,-1,988632,-1,835642,-1,833205,166878,-1,947539,297012,-1,-1,-1,818403,-1,-1,-1,69896,107445,-1,207448,-1,-1,55954,256837,520671,-1,806929,601098,49457,-1,533795,591918,46878,841555,633179,352886,-1,724069,-1,697063,842551,703699,-1,-1,-1,-1,-1,-1,-1,-1,289105,834036,-1,391737,331458,-1,-1,-1,227031,-1,836980,-1,86009,-1,-1,-1,-1,395947,-1,-1,-1,635519,395061,517622,686160,-1,23081,-1,-1,-1,376407,184392,582797,-1,-1,659546,962363,463222,826469,527725,-1,62912,-1,17252,446684,-1,-1,982462,485361,-1,377103,730501,-1,-1,-1,-1,30540,-1,-1,543652,311221,478068,331520,-1,930314,-1,-1,139794,-1,-1,-1,415197,861344,-1,-1,110924,-1,995186,-1,-1,-1,-1,-1,324584,334647,791452,-1,275107,-1,-1,-1,-1,620934,124578,-1,-1,-1,640635,-1,684361,753436,-1,251923,936148,795576,333060,278551,-1,-1,63472,-1,-1,-1,-1,834510,384579,480801,-1,433997,206193,872461,-1,-1,899543,154471,331099,448465,-1,-1,855891,-1,409716,87913,387614,-1,-1,903343,191031,7754,250703,687324,741408,865755,846450,425412,484325,653481,-1,-1,38263,859070,-1,-1,365378,199816,-1,934257,371873,-1,-1,-1,676691,165579,-1,838104,910192,621353,-1,514730,-1,859448,-1,848734,-1,-1,-1,272480,-1,-1,-1,504994,761257,-1,558471,-1,-1,706710,49508,-1,166248,-1,924521,116617,-1,-1,240578,-1,248152,870775,98757,330797,285178,-1,117274,128699,5949,-1,-1,486189,577877,-1,953315,-1,-1,183482,123491,847376,286388,937592,963486,-1,-1,350891,-1,-1,872492,651844,917931,-1,-1,375077,-1,974051,-1,-1,-1,893994,-1,-1,259588,669578,808382,-1,171319,440162,848620,734314,-1,445354,214045,-1,541140,-1,193850,-1,-1,77512,610091,-1,-1,-1,668357,-1,311310,510999,847968,297516,-1,-1,474498,-1,704355,-1,15305,-1,150449,-1,-1,-1,-1,312722,365673,547695,259466,-1,-1,912977,-1,-1,543728,842594,-1,-1,936928,-1,120555,-1,29825,992738,-1,738036,338254,526208,898028,-1,202959,422982,17786,950442,180376,-1,-1,-1,-1,-1,-1,615231,-1,147686,796120,769768,-1,98171,-1,888302,-1,761899,-1,378250,3134,691718,128717,-1,-1,-1,-1,-1,-1,-1,918373,-1,842366,667600,11252,-1,-1,-1,-1,-1,-1,-1,-1,306052,-1,970947,973716,502139,381545,-1,341990,-1,-1,-1,-1,-1,781432,320654,702102,-1,924800,995422,655871,262054,-1,-1,953246,598236,684824,-1,485428,620195,668634,712812,-1,623773,-1,776705,928092,-1,474712,-1,-1,-1,378425,135312,466096,-1,-1,990527,-1,985210,-1,-1,-1,696774,800754,195069,-1,-1,202781,635442,-1,-1,-1,385866,738684,711144,-1,-1,-1,-1,812872,514860,-1,69725,550745,-1,-1,850378,954902,926133,-1,-1,-1,-1,570120,894747,-1,795588,-1,688866,-1,919541,-1,-1,110699,-1,-1,814595,-1,338858,914628,857670,378656,999962,-1,-1,-1,-1,-1,-1,-1,293725,98882,206055,385799,-1,463044,-1,-1,-1,-1,-1,834232,57934,-1,-1,485174,301642,826101,574761,-1,672597,-1,-1,110443,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,525233,-1,-1,-1,562597,58811,-1,512031,900529,-1,546863,266094,973669,216372,82135,-1,575338,542417,-1,-1,29348,-1,-1,38301,654304,-1,331777,273974,490931,786130,750182,-1,576323,-1,-1,200408,527919,782501,755710,-1,240892,-1,-1,563930,859898,-1,695569,537642,520974,947179,423778,-1,935926,-1,-1,260324,-1,-1,-1,-1,-1,-1,-1,481955,241633,962338,57915,945599,-1,-1,-1,13040,432626,358431,212464,742987,-1,852039,454097,353391,-1,707977,-1,-1,34272,-1,696212,745043,876257,305292,-1,323171,431172,509669,73942,689705,-1,-1,-1,-1,-1,-1,879003,795341,72818,-1,-1,-1,-1,-1,403438,-1,-1,385262,-1,-1,32671,579002,356684,617712,-1,60102,472764,91545,-1,-1,34564,-1,-1,-1,-1,-1,560310,-1,-1,326387,123378,-1,-1,-1,774728,-1,-1,-1,339247,510929,958146,29747,116704,685326,-1,-1,-1,-1,385335,633776,-1,-1,-1,-1,-1,199459,-1,863163,961534,288603,-1,311502,844727,-1,-1,775600,76170,-1,-1,711547,-1,-1,296417,-1,853739,-1,107900,-1,-1,260329,34398,-1,712969,-1,-1,302685,-1,-1,-1,-1,-1,798161,764905,553049,379438,-1,771025,751503,-1,300513,-1,280169,880219,-1,497152,383137,375278,520612,-1,268793,-1,711956,640809,-1,348496,-1,-1,-1,-1,920314,-1,-1,459028,421539,-1,446387,-1,984256,565830,690553,-1,222039,906199,959687,-1,740219,-1,-1,-1,-1,517017,-1,335453,756480,-1,-1,-1,-1,-1,-1,555290,545471,-1,300909,-1,-1,145338,579621,-1,710573,-1,334763,9856,-1,-1,507234,442069,-1,767737,-1,386272,363383,505168,-1,682620,120205,-1,-1,-1,200230,403635,-1,920660,-1,314894,247184,788109,347628,-1,-1,-1,-1,-1,-1,-1,-1,874720,-1,-1,90243,-1,-1,797735,-1,-1,-1,-1,-1,695679,209930,656107,428672,-1,133729,-1,670612,-1,668173,18685,-1,590033,-1,-1,361073,-1,165578,-1,-1,-1,-1,478370,375935,-1,575190,-1,-1,617299,-1,626368,116052,-1,171160,227952,451573,317548,-1,-1,405415,-1,585332,-1,13773,723130,-1,-1,461656,-1,22334,-1,-1,330357,-1,431915,558380,-1,-1,850042,686965,297661,-1,-1,142775,963462,-1,-1,105441,-1,937888,733052,71009,-1,486191,-1,767734,12133,451042,30758,-1,369583,-1,-1,353184,874096,-1,-1,-1,867470,214287,-1,282692,-1,461581,323889,-1,-1,-1,77235,688378,-1,197863,-1,-1,464223,209287,725663,-1,759180,719364,986935,169994,841829,-1,-1,853122,43399,-1,-1,-1,245193,206270,74535,96713,421636,344298,-1,406498,997339,575189,833204,-1,961954,-1,502855,-1,-1,379498,946269,-1,-1,723803,-1,-1,-1,245454,-1,942849,355236,-1,-1,-1,915524,-1,-1,-1,907866,970284,308517,367081,99105,-1,78115,-1,477088,-1,199329,-1,-1,52888,412361,-1,-1,448398,732183,678759,-1,276503,-1,836208,704070,-1,-1,-1,-1,672979,652020,725257,-1,620353,-1,603407,454136,-1,340041,240624,-1,-1,-1,256008,-1,60590,-1,771926,36090,-1,46588,-1,-1,648476,-1,-1,-1,-1,-1,-1,-1,-1,373640,631608,577861,-1,847233,403597,896447,-1,-1,-1,-1,648947,-1,-1,849649,332615,-1,504406,-1,-1,330131,-1,781508,839723,-1,-1,675569,-1,320595,-1,554946,-1,-1,629962,-1,151282,197720,-1,557845,36975,414759,-1,150642,138070,-1,286764,368846,-1,-1,-1,845465,-1,-1,974999,-1,-1,631489,-1,-1,-1,887667,63334,377181,-1,-1,91580,122189,-1,-1,130449,-1,-1,262310,-1,284219,-1,706875,-1,18679,935727,-1,849654,255937,-1,739717,156260,91293,708953,-1,-1,723517,-1,401517,269329,235214,185337,-1,721307,291433,-1,266352,-1,-1,866486,7949,891100,-1,705480,144702,4772,-1,722552,-1,240344,-1,-1,-1,871528,76154,-1,-1,-1,681561,880078,-1,-1,-1,724175,693228,528741,-1,-1,-1,846556,349093,-1,57274,-1,-1,-1,942396,159726,-1,-1,-1,-1,490593,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,210721,-1,-1,-1,-1,-1,645202,589715,-1,-1,868454,663217,459215,-1,-1,-1,224942,-1,-1,-1,-1,-1,720662,-1,553565,762515,-1,-1,40173,416265,325260,-1,-1,320021,840448,987357,-1,-1,813728,931304,-1,991676,-1,-1,445752,617344,968522,-1,-1,20200,853256,812819,-1,297663,-1,881788,914338,730572,956007,262209,-1,942802,573295,-1,939049,-1,-1,653578,8610,-1,243319,450780,-1,124376,-1,-1,849805,-1,-1,-1,-1,-1,135390,351966,-1,-1,-1,248247,939993,-1,463592,730990,863931,-1,-1,-1,-1,425844,-1,129068,-1,581042,471748,775796,-1,-1,-1,380725,385147,-1,-1,-1,-1,-1,-1,329876,975516,-1,490071,746128,-1,-1,-1,-1,-1,935441,251767,276781,-1,-1,667161,-1,8404,126245,-1,-1,-1,-1,583782,352891,-1,680717,398153,371732,518811,650043,-1,297542,-1,532415,-1,239971,-1,-1,95927,-1,666263,698448,-1,901428,846511,-1,287312,-1,-1,-1,-1,-1,-1,228781,446195,-1,963951,-1,-1,384504,743989,-1,739425,54882,-1,-1,428383,-1,-1,142097,-1,339645,227728,107779,-1,282632,-1,-1,275560,-1,45162,718540,89070,808076,-1,-1,-1,-1,-1,579416,781098,108479,-1,-1,-1,-1,108151,946884,-1,61156,-1,178014,501029,-1,422119,124402,-1,278731,814325,110364,887912,847381,557309,-1,958753,583497,-1,679556,513012,399696,1391,117389,343201,-1,835697,24904,-1,145339,-1,356532,-1,917886,-1,527420,552429,744410,-1,-1,87027,314962,213640,506253,-1,29380,761542,168819,-1,-1,-1,272035,235553,644664,-1,880625,-1,-1,223329,-1,-1,130871,238443,-1,-1,-1,490433,-1,606110,-1,792118,780976,902379,940156,-1,931622,-1,-1,-1,556553,130271,572906,-1,-1,21909,-1,145571,-1,-1,832216,242772,66750,530837,-1,-1,134048,58930,366381,-1,-1,-1,-1,265923,690509,-1,-1,414597,-1,-1,-1,449591,-1,-1,-1,250057,-1,248635,113425,527270,-1,-1,145120,908331,-1,617426,865091,-1,747167,92197,268579,362386,636120,681075,-1,93356,-1,792835,375141,969856,-1,124467,413929,-1,-1,667966,-1,-1,-1,400211,-1,-1,388186,-1,-1,941939,-1,227009,349355,452682,878744,778558,383754,742012,158130,408285,969131,891079,545722,-1,-1,604908,754538,-1,966441,528070,530892,-1,-1,701051,200920,92944,308727,-1,327271,992061,81229,-1,-1,60865,-1,271676,-1,575254,876582,808812,807135,-1,838155,513132,309433,526673,-1,-1,463245,499733,-1,365553,564290,790216,-1,-1,250400,-1,-1,-1,-1,654780,-1,843293,783029,19992,574913,21836,239086,801785,619354,878882,-1,-1,850070,936139,-1,870194,902698,701438,-1,-1,-1,557650,-1,549746,548211,148693,-1,-1,-1,720584,576529,17097,-1,-1,-1,132730,451168,779288,-1,443764,-1,766056,-1,-1,-1,291796,-1,174032,696098,53822,576926,-1,54433,210478,552555,-1,-1,590209,-1,-1,-1,119366,-1,265164,-1,148995,-1,-1,204409,263614,-1,-1,567380,818503,-1,-1,-1,185326,-1,985119,229907,-1,719537,-1,620737,-1,-1,-1,838979,-1,-1,665356,410165,383093,-1,-1,932054,-1,-1,-1,-1,-1,-1,-1,922549,702927,-1,-1,329608,104480,-1,950528,303346,668610,133491,724894,-1,-1,-1,-1,-1,-1,-1,289584,998239,674764,-1,-1,91330,-1,793866,-1,-1,-1,-1,-1,-1,884880,150430,-1,897344,-1,-1,526611,464358,-1,-1,-1,14386,851068,502918,-1,-1,-1,-1,-1,210136,-1,-1,382636,248624,366345,8535,-1,191674,-1,-1,-1,-1,-1,713902,-1,860195,830394,192579,-1,921620,748902,477062,991207,-1,196569,935498,-1,896351,830470,-1,154818,693052,929972,-1,-1,-1,680873,-1,-1,351689,178581,-1,179148,724424,-1,791393,487496,-1,334642,131675,23609,-1,586829,-1,-1,659733,-1,-1,-1,785476,290240,-1,202166,920151,877936,-1,-1,943536,817223,-1,-1,-1,-1,-1,-1,-1,-1,527401,-1,-1,877317,-1,-1,673278,-1,609206,-1,562170,-1,844730,174799,804868,-1,-1,788205,513237,271861,888026,971374,-1,-1,-1,-1,-1,-1,368768,610883,747671,-1,918648,613446,-1,10497,-1,-1,234292,-1,-1,96178,326143,283926,506617,99525,955154,-1,60495,-1,620157,-1,-1,752503,-1,297957,-1,-1,753814,-1,-1,270876,-1,959488,-1,-1,-1,297517,-1,-1,-1,-1,498445,777188,-1,440067,-1,-1,-1,-1,-1,-1,708820,-1,633051,-1,-1,-1,575095,767622,-1,801948,-1,112919,-1,416020,-1,731790,-1,-1,-1,557023,-1,-1,-1,-1,906549,811127,-1,-1,-1,-1,215895,410188,798423,519905,712737,34551,574417,-1,398000,64859,-1,-1,293397,-1,-1,-1,324611,180904,848199,374805,-1,-1,603934,-1,83509,261223,614781,-1,28158,500268,-1,604033,608546,538870,448393,-1,372013,103633,181802,-1,-1,564121,302320,702319,379574,290524,-1,-1,-1,-1,-1,-1,590500,246292,-1,840142,825446,-1,450462,-1,-1,236537,989881,-1,-1,-1,601216,-1,-1,199245,-1,377384,-1,-1,259091,-1,914500,578827,-1,-1,-1,729000,-1,128328,-1,790168,70966,933569,-1,-1,722588,-1,505252,655621,-1,516757,555494,650006,94038,-1,800868,-1,197937,26033,-1,-1,441428,817895,923157,34698,997423,98034,190112,-1,-1,-1,49035,12302,714087,-1,-1,-1,-1,198322,984087,337129,-1,-1,-1,-1,-1,-1,531292,416452,547095,-1,813138,348498,301319,-1,7870,-1,-1,699597,-1,49614,986500,-1,-1,454189,477710,259730,755691,471026,-1,-1,-1,-1,978046,-1,742557,-1,-1,582537,375728,23579,819457,884613,609953,-1,-1,-1,790436,-1,640237,-1,696042,414192,-1,810186,-1,649746,652230,-1,-1,-1,-1,899344,350784,-1,658849,501497,-1,971300,358720,22058,-1,799461,-1,352380,-1,283057,-1,-1,294866,-1,330851,-1,-1,437426,-1,445631,-1,185039,249343,989750,-1,-1,-1,-1,858012,509577,496696,-1,-1,-1,-1,-1,-1,493264,416563,-1,-1,213433,604807,171141,205937,-1,657589,210262,-1,285407,-1,-1,539602,-1,-1,192963,149833,908168,244577,-1,482144,-1,170125,554228,584766,132144,-1,-1,749606,698200,677037,85517,-1,906773,-1,808445,509200,334303,534152,-1,-1,-1,169044,364954,-1,-1,52886,-1,-1,124944,-1,-1,604598,-1,-1,-1,63045,682723,719871,-1,-1,-1,23174,307677,-1,508828,-1,74262,-1,470633,-1,595374,-1,-1,-1,-1,-1,88551,-1,41723,-1,870377,638471,-1,461425,340414,-1,289837,760110,-1,-1,85987,-1,-1,577886,-1,881619,-1,-1,-1,621645,-1,-1,95560,825460,-1,325334,895466,-1,530519,-1,744111,-1,123722,-1,452879,473401,-1,48715,-1,-1,-1,-1,-1,-1,-1,-1,747525,982558,680701,-1,-1,-1,15885,-1,956306,-1,272751,-1,411666,713695,-1,740749,-1,-1,12672,820037,134381,272183,-1,476050,-1,114029,-1,-1,-1,-1,518228,-1,640764,869955,609788,751794,622081,-1,869069,-1,327212,-1,-1,-1,-1,-1,796840,480991,-1,622542,-1,808556,-1,-1,91114,-1,-1,760748,-1,788951,982928,665337,11653,-1,-1,672752,202845,-1,303940,768590,-1,812299,-1,-1,-1,-1,-1,840437,-1,-1,765917,-1,140446,-1,526727,305022,83688,180987,-1,897736,699461,618420,-1,-1,-1,-1,695942,795299,151497,-1,840052,471821,815347,878847,851262,-1,-1,-1,323116,-1,371861,664882,-1,-1,-1,-1,-1,66274,765873,715897,826784,-1,-1,-1,932264,-1,-1,-1,86874,116109,-1,-1,952021,-1,943324,-1,110483,602479,-1,524506,614488,-1,971471,-1,-1,-1,-1,588492,-1,-1,-1,78792,790882,327895,-1,43448,147963,-1,-1,-1,-1,-1,921081,915931,-1,393290,-1,177556,927520,-1,-1,-1,342305,82893,597183,-1,74054,534490,-1,-1,-1,-1,-1,-1,296974,289702,-1,-1,-1,878318,-1,-1,-1,379060,276339,-1,655067,198301,803979,-1,-1,-1,-1,-1,-1,-1,-1,770939,444279,-1,-1,-1,-1,-1,959865,-1,1798,-1,-1,-1,81487,341253,458062,-1,864987,863740,741897,-1,-1,724958,-1,-1,687331,-1,-1,328902,542707,706652,-1,-1,-1,458399,-1,600356,622896,272887,991043,-1,938328,614866,287244,-1,208629,-1,642675,-1,205556,228965,-1,898587,107269,486232,79767,367978,856572,251622,97065,240616,47393,71215,5893,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,922253,-1,593354,812395,-1,-1,-1,-1,686996,464466,32552,-1,-1,740863,739675,-1,12853,264569,203315,647823,-1,-1,-1,473795,-1,148651,-1,633154,-1,485586,538115,-1,-1,786809,29062,-1,-1,547388,753259,236360,-1,477172,-1,505480,319622,904607,985894,-1,54279,150005,-1,636442,-1,719651,126691,-1,286467,-1,-1,-1,-1,448799,-1,359462,389239,-1,958334,-1,566283,-1,-1,930441,-1,-1,197986,-1,827377,785878,-1,784459,-1,-1,-1,-1,659371,282447,-1,-1,-1,-1,311318,437178,-1,-1,-1,43675,-1,759811,367680,963864,329350,794734,-1,739330,29875,243880,615334,-1,555705,740764,350368,832945,10383,80064,276303,387093,622775,872173,285929,631930,-1,-1,-1,-1,492923,-1,-1,-1,623428,25399,608784,982637,-1,143932,457707,-1,-1,-1,611392,-1,831017,435788,-1,326816,56281,714711,318019,428036,-1,-1,-1,926433,-1,434881,760184,-1,-1,997209,-1,-1,283260,684487,850997,-1,131359,-1,833075,149051,783555,-1,843260,-1,708048,286894,-1,-1,829660,-1,-1,-1,122308,-1,-1,869746,-1,272970,-1,-1,-1,-1,228392,601542,-1,121102,89632,-1,957287,700509,138782,301513,-1,747771,-1,-1,-1,-1,368877,-1,689388,-1,467252,897681,-1,919478,-1,-1,875126,828277,433589,483018,490459,570494,-1,735142,142917,-1,14514,-1,584326,-1,-1,821192,-1,6252,355007,171184,41461,-1,-1,618851,-1,-1,-1,-1,47423,217895,181826,284353,820357,354950,-1,993495,634839,-1,-1,457674,-1,-1,110433,-1,-1,656545,-1,-1,-1,389174,-1,-1,738025,-1,-1,-1,-1,900723,-1,-1,628130,15722,238104,-1,-1,767880,-1,-1,-1,-1,-1,-1,-1,744008,-1,-1,-1,26297,741963,-1,-1,-1,291118,-1,-1,-1,173991,417020,865758,982961,-1,633737,-1,968699,177327,-1,761374,-1,-1,403143,-1,-1,-1,715997,62280,-1,543275,769515,-1,-1,-1,-1,469286,405739,-1,-1,136076,62879,334220,835257,584374,680726,335345,189366,-1,86611,-1,-1,-1,279872,-1,6928,-1,671897,-1,-1,60127,200304,-1,-1,-1,883307,-1,942161,-1,221722,352599,645117,-1,-1,392725,-1,429615,-1,846079,-1,-1,901641,-1,-1,566734,824628,100275,-1,-1,-1,345200,460429,881419,842393,611363,385762,390530,-1,884534,-1,499807,621618,-1,304376,53827,234773,-1,57445,-1,-1,-1,-1,467018,-1,-1,-1,870241,713443,355231,-1,-1,-1,-1,-1,-1,-1,916303,107983,204848,983311,-1,485874,-1,220143,-1,741560,396961,486150,-1,-1,491446,176084,787567,-1,-1,-1,932074,97496,-1,-1,-1,28087,115294,-1,-1,637865,-1,874582,841158,-1,-1,285783,-1,-1,130015,157582,489547,539614,899674,-1,980729,-1,277955,331490,-1,446974,-1,496800,775856,-1,-1,-1,-1,292451,-1,656738,-1,510646,791985,-1,-1,-1,230220,140655,-1,-1,-1,175162,-1,-1,98061,-1,-1,-1,985956,390430,-1,-1,94552,99752,-1,-1,-1,603644,757386,-1,-1,704264,678912,491918,654920,504616,-1,739418,-1,-1,240323,147072,306871,-1,249830,840494,457490,390440,-1,523043,-1,808165,763440,974445,-1,209376,958322,-1,840829,-1,716595,-1,-1,932181,62341,815185,-1,-1,662498,676979,-1,49479,71584,-1,126135,-1,-1,-1,-1,-1,-1,358098,541219,667851,-1,-1,-1,-1,742885,-1,904263,874999,897682,752005,433949,-1,541659,-1,609818,949037,925440,233545,-1,-1,105568,-1,857897,-1,306302,8867,267653,891823,-1,-1,-1,-1,-1,-1,-1,-1,161844,-1,-1,-1,29061,-1,515878,-1,-1,946935,767780,974576,413509,-1,-1,557562,800091,776244,808516,23619,195923,147529,-1,-1,-1,-1,988303,643318,545353,-1,-1,-1,969036,-1,-1,-1,473363,364563,627053,-1,-1,-1,588439,201244,-1,694543,-1,-1,-1,-1,85030,63243,-1,78390,417507,432694,589657,893044,204126,-1,-1,422117,50152,183895,829911,-1,-1,604375,-1,855236,200871,267644,54631,-1,76438,426996,947620,-1,-1,341175,-1,-1,-1,-1,478859,-1,161078,-1,902606,-1,-1,-1,183401,127525,-1,276559,-1,-1,343063,-1,690958,-1,448010,387683,398322,278506,146316,-1,-1,-1,-1,846873,-1,-1,942486,527577,200690,-1,677850,-1,-1,626347,-1,-1,227470,-1,799740,-1,61992,700205,-1,-1,-1,837691,499741,-1,440461,541871,503189,-1,151221,-1,430140,978069,684642,-1,273598,720299,116003,906190,-1,-1,-1,672091,-1,662069,-1,-1,754796,265556,-1,481258,-1,-1,-1,-1,-1,246195,-1,223015,370720,929182,843426,982585,-1,-1,-1,928311,-1,-1,963807,299542,29670,216936,-1,-1,263609,-1,504291,-1,-1,-1,545116,971671,383573,-1,-1,-1,-1,-1,-1,-1,62360,730001,906467,457955,67899,245091,-1,232271,-1,-1,-1,364486,-1,606106,863026,-1,769249,163701,179219,-1,542615,121635,-1,566866,-1,-1,117781,-1,-1,153597,384772,-1,-1,335372,89236,-1,224326,502391,101434,-1,594591,-1,361846,-1,702830,655266,-1,-1,-1,866534,-1,72635,416418,-1,-1,614506,773451,155156,933857,-1,650034,821414,259767,-1,-1,-1,-1,852952,537795,627356,-1,88295,-1,-1,-1,267977,-1,47915,-1,-1,-1,-1,77050,373666,-1,52725,542225,-1,-1,-1,6101,-1,968215,430279,840603,478373,-1,430168,3495,-1,-1,-1,-1,158269,118074,263251,173184,403834,-1,275586,-1,570832,-1,-1,994600,-1,-1,224613,230342,374096,430919,-1,81445,862518,953123,475056,35854,-1,783739,-1,429033,-1,-1,809507,-1,-1,830756,659903,-1,300562,23132,637494,-1,-1,319208,-1,-1,303316,-1,873482,-1,681011,-1,-1,234928,779215,690772,546486,-1,-1,-1,123863,-1,-1,569745,-1,858166,-1,158760,-1,-1,-1,-1,-1,47161,-1,-1,-1,-1,-1,-1,363228,980194,639488,-1,-1,-1,590114,352367,-1,-1,263824,-1,610974,-1,-1,-1,142881,-1,895336,-1,-1,252208,528815,-1,-1,-1,-1,550323,404821,-1,883997,-1,786354,451385,-1,955949,-1,557741,451142,474031,-1,-1,-1,-1,-1,70095,371651,-1,-1,222040,-1,230772,180120,-1,402865,628778,734876,345290,191073,-1,296604,676627,-1,-1,528221,-1,-1,939850,512853,533228,-1,-1,-1,301804,983664,983693,262478,970402,-1,100836,-1,-1,-1,-1,141765,754927,858619,-1,-1,975817,-1,-1,-1,125628,-1,944591,65946,700079,729782,-1,-1,-1,-1,-1,-1,-1,921231,200031,-1,-1,931483,-1,-1,-1,574795,632032,-1,591646,-1,887941,526652,-1,-1,650423,738220,-1,-1,-1,-1,643700,-1,-1,124469,-1,801967,-1,-1,886540,-1,527471,-1,632204,-1,9490,-1,-1,-1,-1,-1,-1,756956,176153,-1,727354,-1,-1,27149,-1,856361,495581,-1,16956,197908,-1,506207,302980,867823,790973,642028,-1,72765,111714,858639,-1,-1,-1,-1,-1,297029,-1,760974,444574,358621,-1,79005,-1,-1,-1,830825,75992,950171,-1,-1,296927,482928,798932,-1,-1,-1,-1,-1,-1,945464,119655,493825,-1,-1,225237,-1,-1,-1,-1,-1,158543,332792,-1,-1,-1,121348,-1,-1,33908,925751,-1,-1,109948,-1,-1,-1,-1,778518,-1,-1,672814,-1,-1,-1,612549,-1,489233,-1,778877,784467,-1,730153,879198,-1,-1,889395,764081,-1,138362,569816,96159,-1,173349,423423,699902,305607,953526,115266,-1,30550,-1,458096,530765,-1,-1,-1,-1,-1,940109,-1,-1,474039,449913,-1,-1,936087,-1,-1,605392,-1,-1,-1,-1,-1,581315,-1,982596,203017,-1,-1,-1,83762,229715,-1,-1,626409,-1,68647,293010,60416,904179,-1,-1,244263,-1,-1,18670,545061,-1,-1,-1,-1,-1,896105,-1,704726,403446,675428,-1,-1,743135,140678,-1,91510,593545,-1,120367,-1,-1,-1,524018,870684,677925,718351,-1,-1,206646,-1,310537,-1,-1,-1,-1,204198,915517,343500,715982,43334,369406,611708,-1,496036,-1,-1,794188,-1,-1,-1,-1,161102,-1,-1,369499,-1,-1,-1,-1,887534,127262,-1,945361,-1,674592,176650,-1,660382,-1,518610,849082,424624,-1,267598,-1,311530,-1,836946,969019,-1,-1,-1,855262,-1,431593,886032,-1,477488,-1,-1,-1,-1,319071,-1,562566,976234,194198,470776,933739,-1,713568,-1,-1,937325,320400,765134,185431,-1,-1,-1,-1,-1,927675,445477,-1,-1,581536,-1,430580,-1,-1,-1,179438,-1,55671,-1,341163,-1,112089,836841,-1,-1,-1,596341,68793,-1,-1,-1,305286,550161,-1,558315,-1,193343,119194,179072,760889,215423,23025,-1,789022,260282,-1,776153,257461,-1,-1,38197,-1,968849,-1,462655,482977,806364,988898,527643,795891,-1,-1,-1,-1,469007,-1,770541,-1,306391,850251,-1,696248,-1,-1,844274,789698,-1,196210,238336,-1,-1,30655,-1,-1,521227,902582,758247,-1,-1,661529,276944,-1,809840,512563,398630,-1,-1,-1,8982,591961,-1,877837,-1,-1,-1,336336,-1,-1,-1,874329,-1,622670,41242,-1,526399,-1,295895,953974,-1,265281,-1,-1,-1,619086,732417,-1,-1,-1,-1,489687,-1,-1,680965,-1,4641,-1,-1,759552,-1,727570,788542,571995,-1,463281,421045,-1,-1,-1,-1,-1,-1,18875,241871,-1,702615,926755,170131,952664,-1,-1,-1,-1,104462,-1,-1,502524,-1,463984,-1,-1,390424,394737,903031,588109,-1,628686,-1,-1,680966,907281,459231,-1,-1,952575,104747,-1,-1,583697,485984,524386,790851,966731,717674,627933,753145,402014,293866,-1,-1,-1,75541,957947,-1,780895,-1,350590,-1,393894,970018,-1,-1,-1,398744,684528,-1,-1,-1,616903,225003,834292,-1,105912,-1,-1,-1,626942,321657,-1,-1,-1,63998,176257,-1,-1,418585,-1,-1,869141,994529,901899,456117,540218,320678,-1,-1,857356,-1,988777,878826,-1,-1,-1,603353,504415,-1,138000,625792,-1,502362,-1,277652,473573,-1,833866,-1,-1,632129,900414,904947,171535,603175,-1,800693,506819,-1,405822,-1,331277,836716,-1,157731,421825,765549,375729,-1,-1,310291,-1,672856,-1,332975,338468,507704,-1,-1,497963,-1,-1,-1,536565,571882,-1,-1,-1,-1,923770,-1,134677,-1,-1,-1,-1,-1,-1,184724,531179,-1,251092,-1,-1,-1,967317,-1,733848,-1,453005,161860,-1,463251,-1,702980,-1,-1,-1,809351,-1,653217,344245,649292,922946,-1,-1,-1,-1,-1,722477,748766,561807,991936,-1,833322,750386,-1,-1,-1,284462,-1,-1,740694,268250,986015,-1,595260,-1,-1,683680,-1,-1,-1,-1,868878,-1,-1,622363,-1,983781,684781,337589,801429,390611,-1,-1,-1,-1,-1,-1,-1,265154,481021,899111,-1,265345,-1,497391,-1,996763,-1,829039,597627,-1,-1,974720,-1,623661,-1,-1,625174,420712,-1,513123,518354,563558,-1,-1,258988,-1,487180,-1,-1,-1,-1,531889,765958,-1,786062,153503,-1,405192,-1,135662,-1,571496,-1,624205,-1,994451,437022,-1,-1,611388,730532,413621,525508,-1,-1,-1,-1,-1,-1,175092,-1,254371,-1,161245,-1,542534,252202,-1,-1,259837,-1,879858,422257,-1,-1,750874,633579,522189,795060,399343,-1,-1,970043,-1,991702,-1,248980,-1,512413,-1,-1,-1,25184,-1,-1,820776,-1,-1,-1,-1,-1,106455,66163,-1,-1,-1,-1,46156,54818,816332,123164,-1,450750,209866,-1,-1,-1,-1,23665,706751,-1,585065,74461,21694,285727,-1,485601,797045,-1,945935,-1,-1,101116,625683,547434,86788,742657,732841,276246,290668,-1,-1,-1,-1,-1,-1,256032,370536,127953,224067,-1,366840,-1,10772,179613,-1,-1,-1,-1,-1,-1,-1,-1,401346,-1,168096,580944,-1,947830,-1,-1,315165,-1,-1,-1,358375,730584,157933,914070,962585,978564,-1,-1,-1,231558,318134,-1,-1,68133,673458,-1,160468,163356,-1,-1,914094,-1,475747,735036,219398,-1,834537,443081,-1,630676,828637,-1,463625,-1,-1,616152,-1,-1,-1,484031,-1,494911,-1,-1,-1,350678,-1,585553,322955,-1,-1,18877,-1,-1,945380,580162,421469,-1,252702,-1,-1,681656,26704,488156,-1,-1,-1,662465,-1,856216,75826,73386,791729,201772,-1,-1,-1,-1,-1,-1,388832,-1,807540,745589,51341,-1,-1,826667,641196,-1,-1,-1,-1,-1,732891,782973,-1,561154,764387,-1,918963,691846,761588,-1,341115,6253,-1,-1,-1,171950,-1,-1,269253,5240,-1,-1,-1,750530,31992,-1,-1,-1,632481,584052,-1,179805,-1,18139,491959,323078,-1,464195,103896,-1,-1,987293,394232,-1,-1,-1,570293,-1,-1,994328,218238,-1,463082,-1,230879,94913,432482,697552,-1,475364,-1,813583,344429,24003,523322,-1,-1,-1,-1,682578,-1,-1,-1,209406,754308,-1,-1,-1,668218,657657,252346,-1,-1,94838,-1,-1,-1,802311,110065,183745,-1,-1,-1,755836,185655,948297,-1,460426,145472,-1,686709,-1,-1,-1,819845,-1,-1,-1,-1,-1,34423,945309,194167,-1,-1,561914,123442,-1,-1,408700,360351,-1,900054,264083,973014,-1,659437,-1,435443,889955,-1,-1,131966,-1,755470,-1,871158,-1,-1,-1,715011,-1,416678,-1,979611,-1,308515,607047,-1,48331,-1,602438,-1,879173,-1,-1,-1,28623,107869,-1,707625,335834,-1,-1,318974,-1,517511,728603,57165,-1,478078,-1,690521,278114,-1,843693,28883,-1,-1,-1,-1,-1,-1,-1,-1,-1,241953,887023,-1,752556,980951,37944,-1,-1,697688,-1,-1,-1,726451,-1,-1,767302,-1,-1,465308,-1,-1,-1,73439,-1,-1,74993,325998,62247,53554,441514,-1,550404,-1,-1,126198,76312,451587,682189,72438,-1,-1,-1,-1,404897,322295,-1,-1,-1,-1,-1,965853,526486,-1,919852,755621,-1,802594,-1,474277,22720,999314,-1,-1,-1,440515,-1,879965,-1,805054,778587,-1,-1,-1,95948,-1,-1,-1,103004,886942,-1,294137,326456,571629,486109,-1,839193,-1,-1,688532,-1,-1,-1,-1,-1,323088,9294,74499,-1,207933,944702,-1,115812,337782,930053,-1,467363,-1,-1,-1,78697,-1,420352,99784,373969,-1,527890,-1,-1,-1,-1,-1,-1,-1,-1,152133,865840,-1,365682,-1,-1,784906,740632,-1,-1,524530,-1,247722,581848,-1,-1,829564,-1,-1,645706,613802,-1,830090,-1,984592,-1,-1,-1,729077,-1,-1,179834,918897,-1,127761,364020,894141,101892,645968,453172,-1,-1,900714,-1,-1,914289,600658,937510,410189,-1,-1,422965,-1,-1,-1,710448,259980,-1,-1,-1,640746,424798,-1,482676,209359,328500,-1,502323,-1,411419,474798,-1,-1,-1,911148,-1,93698,430637,-1,-1,282471,111019,-1,337755,641166,459484,117214,-1,575917,252074,503816,-1,-1,-1,416322,-1,191738,290436,225815,172426,583559,-1,-1,-1,-1,568721,624089,-1,-1,581493,67586,652294,847774,657778,797406,-1,-1,687509,483538,690694,982062,-1,81639,-1,571478,-1,-1,-1,632911,70913,-1,-1,663733,997139,913779,-1,339042,985044,279559,972453,-1,406772,21622,559881,-1,-1,-1,35455,-1,639898,-1,-1,-1,-1,-1,-1,526075,-1,-1,-1,282293,215132,-1,146481,287677,318353,-1,854566,890064,10380,98029,-1,-1,359808,-1,-1,-1,187006,148664,-1,571346,170815,844562,196241,496579,962069,897318,534563,-1,419204,-1,-1,-1,905376,-1,987442,-1,-1,776200,496735,-1,-1,905224,-1,54348,905722,-1,167999,-1,-1,-1,-1,146640,-1,203271,355965,561011,670970,86265,-1,-1,-1,-1,-1,25060,271072,331268,37606,668302,-1,207419,-1,811718,-1,339385,-1,-1,417011,876505,144094,303675,492569,901270,-1,-1,449313,317381,-1,-1,880820,582590,676118,-1,-1,-1,-1,362654,-1,751743,237714,125430,676234,11791,50564,143819,-1,-1,-1,197485,705326,244415,809783,226367,317475,-1,-1,62660,363415,-1,765054,-1,97231,-1,248026,800558,-1,317976,333544,-1,637779,-1,-1,-1,-1,-1,76210,240154,404084,108817,-1,634030,658140,-1,-1,440093,-1,-1,-1,132004,104658,-1,-1,-1,-1,419842,825846,-1,479074,-1,-1,-1,-1,-1,-1,216700,-1,292978,-1,738442,475987,-1,348858,547466,-1,-1,347458,357652,-1,-1,260344,-1,-1,94167,9516,437775,694071,435194,5932,809535,-1,-1,113176,-1,-1,988680,231673,325106,-1,452651,215349,-1,250193,715186,456377,820429,412742,472847,519207,286650,-1,330599,-1,-1,562754,895112,-1,-1,258122,209050,-1,-1,273086,585516,221373,-1,421492,-1,-1,166904,-1,159249,-1,-1,752380,515319,928734,-1,-1,924192,-1,773075,701984,557464,247968,749507,755050,268707,-1,-1,578153,488793,75663,-1,-1,354772,886030,400753,-1,-1,397174,572618,456500,568115,970343,598852,319816,-1,141486,-1,126961,-1,944627,938705,369784,539200,751254,822913,-1,-1,-1,1799,-1,-1,-1,64052,41735,68791,24408,37247,-1,480985,968533,-1,894489,-1,-1,-1,-1,10291,-1,559467,301039,-1,86034,737083,826109,643126,-1,-1,-1,-1,-1,-1,798166,445952,-1,678571,-1,-1,953399,366453,-1,-1,544596,465904,566168,771652,-1,-1,-1,854784,-1,673567,538612,322985,-1,180718,-1,-1,-1,-1,404067,632157,-1,-1,-1,15636,-1,-1,-1,-1,-1,-1,130590,664162,606876,725243,-1,-1,-1,547030,-1,-1,-1,-1,-1,-1,-1,-1,543952,-1,943538,-1,77600,-1,744072,641159,-1,-1,693887,912503,-1,-1,793329,681682,188124,-1,775680,-1,528073,-1,137491,-1,-1,941982,-1,888695,-1,475147,-1,555123,447688,-1,932781,130101,-1,-1,201369,-1,129002,-1,-1,-1,-1,841296,475848,-1,-1,110430,-1,28760,-1,-1,-1,160435,315683,292739,-1,128822,-1,735611,212731,-1,-1,773732,816642,-1,109065,523352,498822,-1,-1,87735,-1,-1,537852,329543,-1,505935,-1,-1,-1,-1,-1,654195,-1,440778,219215,980076,-1,675776,-1,-1,764329,291761,-1,227522,-1,-1,-1,632164,522952,536154,-1,-1,139623,888145,-1,-1,335884,-1,-1,-1,-1,893589,965670,528614,6080,-1,-1,290220,-1,-1,507811,593155,-1,-1,-1,-1,715436,-1,593525,-1,42176,505720,448421,927246,156210,542743,712544,-1,264981,741768,153498,-1,780905,-1,-1,-1,-1,844004,524401,-1,587530,-1,270219,-1,859611,-1,-1,-1,-1,-1,758631,-1,9672,-1,555713,453281,804478,182353,-1,-1,-1,-1,-1,-1,948526,-1,-1,-1,220559,521540,-1,881087,310157,-1,867449,-1,627320,872598,-1,-1,773200,-1,438633,-1,-1,322736,-1,651292,-1,920330,673896,509956,-1,235724,-1,-1,-1,551167,-1,-1,527095,-1,169050,-1,364054,-1,-1,-1,599838,-1,352581,613338,-1,-1,-1,-1,-1,371438,234307,-1,831820,-1,133070,611369,-1,538578,-1,-1,562436,164462,376325,-1,-1,-1,314366,-1,88301,772821,945479,-1,640322,712135,540538,407795,372138,-1,965340,339304,522564,766910,685665,757839,-1,393247,753149,-1,-1,-1,-1,-1,853421,58070,-1,467582,-1,-1,-1,-1,946436,-1,912483,-1,60621,817088,726180,709550,-1,-1,316049,-1,941326,-1,97715,202187,-1,-1,-1,832073,-1,-1,-1,205651,-1,-1,-1,-1,-1,-1,-1,684050,627050,-1,-1,-1,167056,305961,-1,-1,-1,15438,-1,172036,-1,-1,-1,785516,72675,706714,473024,525611,-1,-1,472166,-1,-1,939513,667697,-1,-1,-1,-1,-1,609693,80865,-1,124793,732180,103489,-1,879043,932034,385125,512921,97844,570372,74621,-1,-1,-1,-1,-1,-1,-1,560358,-1,-1,381808,-1,-1,472262,374294,-1,150115,-1,289124,138015,114835,-1,633181,-1,852458,-1,162055,-1,-1,619901,-1,630643,-1,825086,488314,-1,-1,861696,-1,146104,274212,276199,872324,-1,-1,-1,816143,698179,248548,327136,-1,-1,-1,169531,953164,-1,663783,-1,642951,719630,-1,863629,-1,642944,420821,-1,899711,102900,-1,725457,227549,-1,-1,-1,944341,557716,592766,-1,214316,470201,931518,965921,299679,-1,864508,706155,-1,-1,39937,-1,207444,-1,-1,961751,555921,-1,-1,807164,861682,-1,2283,223867,40438,-1,-1,536867,164035,675237,776391,451292,847425,186826,615477,-1,70457,-1,-1,-1,142237,-1,-1,84046,-1,-1,-1,-1,513860,34726,515802,580959,795396,407674,-1,956332,844618,195162,-1,-1,-1,650710,-1,693847,-1,770281,505721,53226,-1,-1,-1,381828,847511,-1,384564,-1,746190,-1,-1,14615,392664,117345,701988,196887,-1,-1,130689,-1,-1,-1,74218,872734,-1,-1,-1,-1,-1,-1,492105,471702,239566,-1,-1,-1,-1,998681,225810,12000,127929,-1,-1,-1,338193,-1,233629,-1,47911,47245,314926,-1,773774,-1,978344,-1,532929,-1,-1,-1,-1,294586,145354,-1,946275,-1,769692,185059,-1,-1,550502,-1,-1,839592,240189,-1,-1,432572,439475,-1,323377,-1,-1,-1,516296,-1,-1,-1,-1,265816,-1,809634,588183,697090,-1,273842,-1,-1,-1,695038,336537,770531,270732,-1,-1,43397,-1,808813,-1,-1,129650,668387,-1,-1,-1,562332,898972,-1,322500,976833,-1,-1,-1,702958,-1,-1,-1,551691,-1,212837,869765,118288,153983,-1,17514,-1,-1,234544,-1,-1,-1,998614,-1,237152,214718,-1,959656,-1,636279,378266,937008,-1,-1,-1,347738,320191,203179,-1,-1,-1,725083,-1,51758,-1,263263,-1,369442,-1,170994,-1,-1,-1,-1,595795,-1,479057,965019,-1,-1,837445,-1,194502,-1,-1,-1,-1,348160,-1,59337,-1,-1,-1,412951,21978,-1,783545,159254,604066,-1,-1,-1,42559,4751,-1,-1,-1,-1,-1,-1,459626,588130,660730,56868,-1,348623,-1,-1,81213,3354,703070,-1,872655,-1,-1,-1,237316,-1,581417,-1,426997,856630,-1,-1,-1,-1,-1,833828,-1,153512,-1,-1,-1,-1,-1,812807,-1,452919,936803,364450,378866,-1,381203,-1,118348,507192,453964,-1,-1,-1,-1,-1,792651,236239,-1,-1,127574,-1,554737,-1,365160,48590,-1,759849,270656,-1,191713,-1,999646,-1,-1,203711,584703,746641,-1,-1,431507,-1,330838,539039,530263,180551,924256,-1,614057,862633,-1,783475,543400,494529,-1,153463,561312,22064,-1,-1,-1,706808,-1,-1,99066,322730,116247,379690,-1,-1,-1,-1,132475,66500,-1,-1,93833,260609,696939,623507,831196,-1,832169,486480,-1,-1,833063,873562,-1,303730,-1,579459,-1,474218,-1,29381,954742,588779,543560,834553,-1,741435,130254,561366,-1,315211,588865,1080,516952,-1,643542,-1,747674,-1,215152,-1,-1,839553,618817,-1,460025,-1,-1,-1,219776,-1,-1,528196,966092,308732,-1,494700,-1,961857,-1,422103,23126,814200,123752,496537,334003,-1,-1,-1,249437,-1,-1,-1,391428,-1,-1,980484,872213,386719,-1,-1,-1,454468,353904,200632,287537,-1,-1,-1,450042,-1,-1,-1,-1,933034,55296,-1,-1,144076,-1,-1,755185,906221,781353,106792,344681,-1,807149,-1,-1,-1,211116,-1,-1,-1,327367,851317,-1,156263,591489,150673,942378,365881,796267,532564,853795,726314,-1,260049,641439,57926,293294,-1,-1,919207,-1,285507,696420,571010,-1,287491,-1,-1,866523,837365,759854,483029,-1,-1,555864,84734,-1,-1,419201,179186,-1,-1,-1,297846,-1,578801,-1,-1,-1,213399,631851,373496,607859,839149,579729,-1,-1,-1,999552,-1,310844,92936,957779,-1,587663,406911,-1,-1,-1,852727,-1,-1,129248,-1,551811,-1,937662,713732,-1,108051,-1,496829,565012,102545,851393,-1,587278,541151,436238,-1,703904,-1,-1,480691,-1,-1,161046,656480,-1,658888,83584,-1,879880,798675,-1,624694,878084,799042,549369,732376,-1,915301,886279,664672,-1,789446,-1,-1,-1,-1,674781,-1,-1,-1,-1,289512,-1,-1,-1,-1,225418,-1,87710,-1,-1,687132,-1,-1,775864,660597,745015,-1,-1,787277,954091,-1,-1,-1,-1,616372,606515,-1,-1,373727,-1,579527,854977,234348,-1,613826,-1,-1,-1,-1,-1,403505,-1,984197,413086,-1,-1,-1,252183,158100,298437,-1,-1,-1,-1,756601,-1,-1,769531,-1,92520,948457,654132,-1,663530,-1,-1,642051,-1,536052,-1,846850,-1,-1,747464,903026,-1,-1,575708,-1,-1,-1,538225,870111,995089,-1,686601,771324,608320,-1,436542,755682,-1,356480,850634,968490,-1,722291,-1,-1,475366,-1,316026,852134,145769,511368,-1,-1,670704,-1,-1,445808,264063,-1,87799,-1,-1,-1,113156,-1,-1,758544,734041,-1,-1,-1,-1,-1,-1,795619,30549,603522,513415,824504,-1,8235,894844,-1,868378,-1,-1,681367,428655,-1,210212,-1,-1,-1,-1,499930,212092,-1,-1,-1,991815,392998,-1,-1,403079,600285,-1,-1,80539,946844,-1,624465,875234,430397,-1,379341,467364,182558,26710,-1,-1,653048,206142,-1,819596,-1,-1,371751,-1,227626,101488,-1,658635,577201,-1,686927,-1,762003,-1,-1,76747,-1,-1,-1,-1,-1,452930,-1,-1,-1,430812,114273,-1,-1,744309,847275,-1,-1,-1,847805,-1,348024,786306,-1,-1,256741,186615,422620,-1,927768,-1,-1,716074,886590,-1,609389,150883,-1,-1,39661,841271,-1,394566,481623,335889,-1,68593,547038,54508,-1,422355,-1,261826,141776,342490,-1,264926,265528,957439,631096,128364,58221,522860,-1,999238,-1,206871,826023,-1,810070,-1,542197,90979,-1,-1,418244,300404,-1,755372,-1,368973,-1,66480,-1,251479,506707,-1,-1,327105,-1,706334,476475,282958,-1,347329,-1,-1,-1,12446,-1,465181,358860,219942,-1,-1,-1,-1,-1,469329,-1,151852,105227,-1,271336,87888,189349,-1,-1,-1,385313,-1,181967,-1,855604,-1,224798,-1,-1,-1,504914,-1,797567,740858,983967,418086,-1,396595,-1,258545,965777,359306,-1,-1,-1,926641,-1,437654,914078,107533,578552,-1,742055,-1,910539,889060,-1,689022,-1,241186,563609,-1,-1,-1,-1,-1,-1,843782,687854,-1,277182,477649,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,729688,-1,958989,-1,320127,-1,177814,211406,271945,860512,-1,87782,644361,606391,338848,-1,437781,-1,-1,366964,288275,842047,-1,-1,-1,-1,586036,-1,-1,483948,-1,-1,-1,405381,464960,458382,-1,-1,701264,943627,-1,6491,-1,-1,-1,209946,968668,-1,417727,424319,320642,157547,278624,-1,662167,774530,704902,557891,-1,-1,-1,656156,-1,563951,-1,-1,680068,-1,937770,-1,308528,-1,-1,-1,-1,691804,-1,-1,-1,815090,561502,231357,-1,151631,95083,518104,611367,300949,-1,-1,1679,654449,-1,-1,-1,98774,-1,457722,96587,584926,-1,803980,-1,663005,-1,-1,331261,993888,-1,-1,225274,-1,-1,-1,-1,830553,387701,821427,1727,421712,315561,-1,-1,571211,-1,-1,-1,-1,620656,546110,-1,-1,893691,-1,237431,-1,-1,-1,798673,507615,-1,-1,40272,-1,724497,93291,-1,-1,-1,127979,505301,120833,137346,197724,263200,775217,332879,-1,-1,-1,691894,-1,-1,764360,602040,766009,-1,-1,-1,-1,762965,-1,-1,915344,275189,653377,-1,-1,345387,-1,-1,653456,90049,757411,-1,-1,664043,399175,-1,-1,-1,750925,-1,-1,-1,337455,-1,-1,595083,-1,-1,570128,-1,569154,80589,594132,669203,964424,-1,403688,527207,-1,-1,-1,874758,657400,-1,-1,218294,-1,479167,-1,-1,-1,648668,431917,-1,568085,-1,-1,751933,816160,790946,627261,189928,-1,-1,227724,-1,-1,153020,986604,-1,-1,867632,-1,-1,33156,942869,-1,182415,654488,718813,557789,-1,-1,-1,882537,-1,108221,-1,-1,78244,125107,-1,-1,330970,237090,41625,-1,367910,925154,-1,763138,-1,-1,-1,268340,223186,759934,180761,200326,-1,-1,315162,-1,277785,-1,500440,385367,310791,-1,986759,930745,480111,-1,-1,-1,278742,-1,-1,443386,145301,964063,-1,-1,-1,521225,-1,-1,-1,237708,861216,584117,-1,291512,657342,994630,426951,-1,816139,-1,-1,110020,-1,-1,-1,-1,-1,-1,572073,681940,56927,-1,789629,-1,2272,-1,-1,-1,-1,-1,138380,-1,-1,-1,-1,75972,-1,-1,-1,-1,-1,-1,-1,-1,893788,-1,531252,907627,386409,204851,-1,333627,790010,-1,-1,912563,968928,895420,-1,552264,92462,416850,86926,842977,259985,-1,-1,-1,967150,564226,-1,998495,347055,-1,249653,631194,-1,306794,-1,-1,974784,-1,-1,-1,-1,987220,-1,251914,12503,-1,-1,908598,-1,795595,522328,387314,695687,319228,186098,153319,115221,248042,-1,-1,415603,-1,160310,41940,-1,-1,195024,303299,529699,100084,620173,121356,729482,-1,266518,-1,-1,-1,748252,-1,734759,-1,674816,-1,221299,860141,-1,940677,-1,218457,250288,306702,919600,445121,-1,-1,-1,476487,-1,74059,-1,372288,-1,616361,47500,-1,-1,585898,-1,-1,-1,240281,-1,58915,-1,-1,772193,-1,35102,140178,-1,-1,-1,-1,-1,385061,-1,-1,-1,705361,162485,987439,794174,169917,160538,-1,157729,975662,852023,164177,422860,307092,-1,813692,-1,-1,-1,-1,-1,-1,552092,-1,-1,-1,-1,949922,-1,-1,719643,722572,-1,782499,-1,-1,-1,-1,11980,-1,-1,378806,-1,-1,-1,-1,-1,68649,-1,-1,989364,473060,-1,-1,804865,-1,720461,-1,804428,-1,-1,236204,-1,815756,-1,738499,128976,225713,60352,-1,-1,-1,682606,709608,520327,-1,368249,815108,-1,-1,599588,-1,-1,-1,515663,24790,173542,-1,52684,471886,712778,-1,-1,515150,874267,916874,107234,773054,88233,-1,17472,-1,881787,-1,-1,343610,-1,22143,246155,917489,502972,-1,18401,-1,275262,215277,528028,-1,400648,367123,231603,306965,792551,641799,48720,46447,115633,-1,267591,851213,-1,-1,-1,-1,974144,-1,-1,147837,689579,380356,-1,-1,982954,527582,-1,98602,-1,-1,-1,250925,650202,938147,-1,187478,392799,99981,-1,-1,-1,906775,705808,178796,-1,-1,360451,-1,722822,599864,558917,635953,-1,115205,-1,-1,517066,629916,-1,253776,552139,941374,215404,101907,145704,391052,969982,-1,265977,154589,243024,943458,-1,-1,-1,713441,791739,680208,238259,-1,116957,365687,566255,-1,-1,664840,-1,866525,-1,-1,-1,63934,309538,852628,257847,915873,-1,-1,712690,551077,-1,603570,349616,-1,904506,-1,672339,-1,-1,-1,213988,-1,519246,317125,-1,-1,-1,-1,38546,-1,-1,236122,371164,638569,362427,-1,-1,-1,415968,-1,264381,805679,-1,126285,-1,-1,-1,-1,-1,85320,231077,-1,-1,737426,164380,532259,-1,-1,-1,-1,75690,4879,-1,-1,-1,485580,466029,272637,735757,-1,-1,-1,-1,-1,230709,483266,-1,-1,-1,74094,-1,689922,-1,78350,229710,612994,-1,-1,5463,-1,-1,-1,96964,-1,782647,948094,-1,-1,520342,-1,-1,460406,553287,-1,-1,-1,885032,316277,-1,-1,864016,512365,-1,108717,471355,-1,-1,-1,-1,-1,69087,-1,-1,-1,413500,549496,416794,526888,-1,-1,-1,972190,-1,435246,-1,-1,784316,967045,-1,84300,-1,-1,743388,814975,763495,-1,942483,-1,-1,349400,-1,772964,-1,310561,885029,607736,307283,-1,549649,301904,-1,417975,-1,-1,-1,222132,-1,359600,230768,340802,-1,-1,-1,58213,-1,-1,-1,-1,587485,-1,-1,312148,-1,-1,-1,426035,-1,-1,737231,-1,562047,-1,-1,474866,446751,62390,-1,385230,-1,797883,382979,330287,-1,-1,-1,30870,303617,894738,718981,-1,79842,461093,-1,734753,-1,-1,-1,-1,122317,180608,-1,126279,-1,-1,-1,740339,-1,224726,18637,380009,357742,136605,708644,969470,148287,-1,390020,-1,641863,-1,279940,-1,-1,-1,-1,-1,466094,-1,876754,124324,-1,39686,584512,813314,193207,874923,462705,990160,535471,437517,788437,-1,-1,810555,893754,-1,996659,549259,-1,809112,185716,-1,171615,-1,66584,-1,555515,-1,238143,886673,-1,918774,605445,-1,-1,40175,647374,548677,-1,-1,-1,255060,404195,656404,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,445077,-1,-1,415741,948058,-1,938027,754065,302120,365157,453697,397921,319142,-1,-1,761015,-1,-1,627527,-1,807108,-1,422455,-1,-1,246718,-1,806177,-1,739108,-1,113211,866978,-1,647699,534622,-1,-1,-1,248667,984200,509235,715706,406046,131059,-1,971988,-1,-1,-1,-1,190477,361859,-1,416380,-1,-1,985206,-1,-1,390752,-1,-1,-1,739753,-1,201274,947028,434384,-1,-1,111551,-1,-1,-1,-1,-1,342428,410111,362393,769424,-1,-1,610723,-1,514453,-1,-1,987521,601317,288022,392588,347923,-1,137278,837544,-1,-1,421811,657022,912683,452776,474535,915956,752279,136817,112580,918018,483305,737793,-1,688209,-1,779787,60256,480924,-1,730458,842645,-1,-1,-1,893341,411693,244538,-1,-1,-1,622462,-1,-1,-1,-1,239862,-1,-1,-1,-1,-1,-1,479421,326202,905927,-1,525564,591625,-1,946447,52839,441716,245421,-1,550961,545736,-1,-1,-1,716771,360242,574504,-1,194027,602450,-1,277280,142438,-1,-1,90195,92221,-1,-1,-1,561491,429458,618289,-1,3647,-1,792538,242021,-1,-1,-1,42456,-1,730426,-1,918639,347583,857122,951452,-1,-1,-1,159075,-1,359537,-1,618683,844529,-1,553071,-1,-1,-1,-1,342863,673822,107566,236747,-1,824027,-1,-1,935576,572544,397671,-1,538382,269112,-1,-1,-1,536944,-1,-1,396283,-1,700525,974052,83620,115088,460800,-1,666534,971243,938009,-1,96958,-1,-1,-1,152038,553023,-1,-1,-1,-1,-1,983545,-1,-1,115275,374213,673869,-1,-1,971809,-1,-1,412033,-1,-1,-1,916319,-1,288056,-1,764685,-1,702765,73581,-1,-1,-1,-1,-1,-1,-1,152594,-1,342232,45928,723890,-1,-1,-1,523022,-1,402332,-1,514776,192990,277533,-1,-1,-1,365523,-1,-1,-1,-1,894653,662654,135683,253275,49536,-1,58096,-1,-1,70333,-1,543567,-1,-1,-1,979143,-1,-1,648336,-1,580277,635527,-1,-1,-1,471039,18561,331781,377374,-1,-1,883920,894459,191693,-1,-1,564430,934443,-1,-1,-1,414025,102448,713846,-1,-1,566568,79562,-1,361944,300263,381678,500658,780457,-1,942708,310367,-1,552560,-1,-1,-1,-1,502958,951773,-1,297636,648621,837664,921863,945911,-1,430165,780526,580085,207282,288068,431716,881564,294331,601633,986399,265032,-1,-1,-1,-1,-1,-1,-1,453384,-1,265502,-1,686472,377834,-1,-1,-1,62772,920293,161589,837784,-1,98392,-1,53253,284566,-1,497869,755941,-1,472074,475790,338891,955855,-1,-1,686526,678724,-1,-1,300711,363623,-1,881634,-1,-1,503079,-1,575193,665571,-1,-1,401826,900910,-1,704520,905554,-1,-1,-1,-1,576801,162362,265918,-1,71219,-1,-1,-1,674243,313730,787664,735597,-1,781753,724750,669919,240590,840294,-1,-1,111832,-1,905857,154810,424351,479995,-1,903024,-1,762646,242456,317702,683165,258857,-1,920146,-1,-1,-1,184377,-1,40572,507873,906046,-1,564081,-1,358623,-1,-1,254290,894594,-1,-1,542299,-1,-1,-1,-1,-1,47688,257411,-1,-1,900686,-1,729332,53054,251246,310283,-1,-1,-1,356617,-1,423194,724734,347247,-1,-1,-1,-1,671911,558258,347519,-1,793759,93339,-1,-1,-1,341027,508764,636340,-1,451811,672238,758823,-1,-1,941112,630038,-1,850218,322491,-1,-1,707035,-1,-1,21244,563036,-1,-1,627208,-1,-1,649339,-1,-1,-1,750224,91979,600333,651692,-1,-1,-1,-1,516055,-1,-1,154858,-1,730024,601199,-1,372810,658054,989985,-1,-1,-1,952375,173900,177050,98204,-1,-1,-1,-1,-1,-1,-1,218517,-1,458908,881569,650026,938967,-1,487323,-1,-1,-1,365008,-1,742245,620931,-1,69154,879246,-1,522730,-1,602197,136321,-1,-1,631154,613997,-1,-1,484741,401370,839178,-1,11763,171909,599086,-1,378449,-1,59736,-1,-1,-1,837347,165730,-1,-1,309600,-1,-1,710331,453767,-1,-1,-1,-1,167748,-1,92706,-1,-1,735007,989962,93581,-1,-1,492251,867089,-1,623893,-1,-1,10510,68327,621481,-1,-1,292547,970879,43456,-1,280880,-1,557237,648198,-1,-1,-1,-1,657101,-1,-1,-1,-1,-1,-1,-1,427815,-1,-1,-1,144355,232106,-1,-1,-1,341271,-1,912133,946493,699227,791414,-1,802233,-1,-1,2267,-1,-1,33432,382848,-1,439314,-1,473234,95875,-1,-1,-1,-1,290129,-1,-1,-1,106210,-1,-1,843716,20018,19205,901868,576522,-1,698660,-1,61504,337544,-1,226781,-1,549875,-1,173572,734027,667292,-1,-1,481708,425174,-1,-1,873193,-1,-1,-1,232587,550881,-1,-1,996399,656758,-1,957533,-1,416043,614745,846388,-1,377557,-1,-1,-1,-1,-1,272768,160050,-1,898821,-1,611089,-1,940833,400443,-1,309080,-1,797694,-1,77467,352848,-1,-1,-1,274403,-1,-1,961555,-1,-1,-1,677216,-1,270769,-1,-1,497303,-1,914546,892272,66298,-1,-1,-1,169181,462109,750886,-1,442149,-1,-1,-1,384068,-1,-1,-1,772417,186670,-1,-1,-1,-1,-1,-1,611021,-1,-1,84824,323465,352137,-1,-1,-1,-1,-1,-1,827871,-1,-1,598385,353190,416585,754720,728501,555436,94422,472004,42629,-1,780706,994516,-1,123646,-1,905693,758812,311840,-1,-1,100557,705368,266921,889315,-1,-1,-1,-1,-1,357395,-1,870404,-1,-1,-1,836797,-1,116513,188866,96347,-1,-1,-1,335658,-1,-1,-1,62633,-1,942556,332892,-1,490534,-1,-1,-1,239080,463223,-1,-1,-1,-1,962757,728486,-1,170873,-1,156921,-1,426762,316416,-1,-1,803351,-1,-1,50814,-1,600346,300816,-1,-1,240351,-1,-1,-1,-1,-1,811874,919657,818871,64320,523868,676830,-1,-1,-1,-1,246702,722789,638039,-1,-1,-1,571444,-1,255474,546578,812154,-1,20341,-1,-1,824335,-1,406177,-1,-1,154058,418405,144543,279514,433918,-1,79512,567235,-1,-1,387256,32545,-1,-1,-1,268727,81122,586590,-1,347416,-1,-1,-1,-1,236105,522809,918696,721207,-1,-1,803884,-1,-1,-1,-1,-1,948660,-1,175281,-1,-1,973707,-1,-1,-1,-1,315125,-1,-1,268591,-1,628849,520845,-1,-1,-1,7379,-1,-1,949444,658723,606092,691481,-1,20927,-1,-1,232971,-1,-1,-1,694350,-1,220922,159675,608312,651007,883541,-1,237926,-1,151695,-1,-1,730877,-1,924478,649687,-1,-1,-1,607036,-1,355889,-1,402549,746524,254764,-1,486070,994198,71515,-1,-1,-1,-1,-1,811040,846301,139415,-1,451592,-1,-1,-1,553242,829837,-1,-1,943849,-1,-1,504639,-1,668448,-1,822387,-1,-1,815662,295692,660289,71895,-1,-1,-1,-1,-1,173910,30424,-1,487281,-1,-1,997210,323978,-1,-1,-1,940878,-1,-1,116972,926323,653791,542794,-1,-1,57811,-1,409704,-1,632475,477459,726778,663418,-1,-1,822337,853116,-1,601408,-1,-1,-1,-1,-1,-1,596481,505360,106767,500610,-1,-1,694219,-1,-1,-1,-1,-1,363110,288333,-1,-1,-1,-1,-1,822808,134123,221275,413976,-1,-1,835875,350113,-1,-1,903525,616520,-1,-1,-1,587603,-1,-1,-1,-1,209164,765294,960717,-1,-1,-1,-1,648070,-1,274487,717901,-1,265813,531294,-1,-1,90724,534002,-1,-1,332661,697402,-1,-1,322049,-1,-1,-1,857735,955604,-1,-1,654858,500607,-1,-1,779822,124178,-1,-1,602354,599446,-1,-1,922286,110225,259996,-1,679194,512877,678729,432768,688908,641445,153697,-1,830070,-1,-1,485019,198464,-1,-1,-1,-1,124413,388135,-1,926595,963349,-1,-1,-1,676682,-1,-1,903184,924603,-1,411263,-1,476885,-1,990345,770383,-1,468878,-1,-1,-1,113126,950030,83953,-1,527437,39623,-1,786666,-1,403204,-1,-1,-1,-1,787776,-1,-1,916172,-1,911446,862766,-1,253380,-1,-1,610737,193765,-1,-1,18322,-1,-1,590511,-1,850659,-1,313298,71701,628059,-1,-1,1687,831429,-1,777593,-1,234109,959590,316242,194798,570851,419283,-1,369454,-1,821688,794433,152439,842360,792010,-1,310772,-1,159876,704051,666291,-1,832918,372500,103613,268112,-1,677372,572818,690736,960119,-1,-1,-1,-1,400513,298799,-1,387345,-1,577803,-1,571719,-1,43406,146154,220785,-1,423336,-1,-1,354912,367149,-1,679767,851701,77857,-1,569826,-1,-1,571560,1045,-1,-1,958233,-1,-1,756773,-1,13735,-1,1380,-1,593110,-1,-1,-1,-1,942597,56369,646476,336213,857179,-1,398439,-1,-1,556682,-1,-1,629571,844422,-1,-1,898433,-1,-1,405438,-1,957750,223252,224998,-1,-1,356417,416376,-1,990413,-1,-1,101875,-1,46567,117341,384595,-1,-1,-1,-1,666429,666404,49509,-1,-1,-1,-1,127588,-1,420187,-1,302429,-1,806879,-1,34019,-1,729292,321981,-1,514244,174863,-1,604388,502627,1633,-1,-1,-1,925584,-1,-1,-1,-1,56260,58238,-1,-1,-1,-1,-1,-1,-1,-1,-1,902899,258850,-1,-1,-1,-1,874250,216507,-1,225782,-1,-1,-1,397130,584785,606036,354865,-1,-1,811216,-1,803226,396449,-1,-1,-1,-1,360250,425871,-1,-1,-1,-1,958590,555414,-1,-1,849762,776621,782736,-1,880677,202383,-1,460177,875353,-1,-1,761166,-1,-1,-1,192313,-1,-1,224810,-1,-1,168456,49205,181002,-1,-1,329439,-1,-1,614632,-1,-1,-1,887628,635528,-1,146115,-1,368439,-1,806687,69967,452539,633870,815174,214756,770796,643993,992629,822680,939668,664892,-1,513540,-1,-1,-1,-1,814708,807398,-1,752743,776149,-1,-1,36949,615314,104505,-1,994499,203830,-1,-1,32987,923624,265337,944525,332436,189800,873902,727196,887197,-1,383994,380039,839528,-1,624019,696144,-1,-1,-1,717678,233680,-1,936999,252384,221782,-1,376843,-1,635983,-1,275518,-1,900159,-1,940789,-1,-1,3223,-1,-1,759409,-1,704828,-1,190885,464561,-1,-1,215393,-1,194855,686195,327363,201005,714624,-1,412214,281192,-1,452723,-1,689012,164822,768323,-1,791153,-1,225994,-1,-1,65537,322837,765581,-1,-1,415702,-1,568413,-1,45565,477323,-1,506212,256561,715798,284102,918927,-1,-1,854307,153929,571956,-1,-1,376260,996664,-1,751853,626116,-1,945028,392280,-1,721505,-1,421590,171689,849021,-1,-1,-1,-1,476081,8294,-1,176134,-1,383740,-1,-1,120511,-1,-1,-1,-1,191625,-1,57081,497425,658801,-1,206719,-1,-1,-1,835386,346874,-1,416381,295584,469171,-1,826344,320585,430651,-1,390494,-1,-1,643853,724037,483457,206765,-1,429238,-1,-1,-1,770785,-1,-1,-1,-1,391813,85315,260829,370437,-1,72175,-1,931310,13196,-1,979732,667145,-1,16290,-1,831543,546835,524671,-1,-1,-1,796432,924895,404095,537732,-1,293526,-1,314571,-1,-1,-1,-1,791551,577908,370312,-1,-1,711035,839759,-1,-1,-1,533361,205669,982528,-1,75985,197656,904118,657261,-1,-1,-1,-1,701548,-1,955162,542080,428697,-1,-1,314871,324016,-1,-1,-1,726855,764581,-1,225282,-1,-1,259756,953745,341569,996606,566736,7946,-1,406665,958069,-1,184470,-1,330856,-1,-1,914773,-1,-1,-1,-1,110381,-1,-1,794077,485040,131326,-1,978542,-1,80275,-1,435648,-1,-1,-1,-1,-1,-1,-1,223563,-1,584348,509406,-1,94783,-1,-1,-1,-1,750020,-1,-1,873664,849806,-1,-1,254457,852290,661719,997321,-1,192138,60519,-1,266711,-1,932600,844807,774999,-1,841006,1907,-1,325717,-1,844858,835072,931778,-1,559772,523566,492862,327161,-1,93223,189171,23764,179893,859320,-1,714455,22566,-1,361756,-1,-1,132781,-1,-1,117919,-1,-1,559339,-1,474428,30926,-1,-1,118563,-1,50710,996180,-1,909265,486639,-1,-1,-1,-1,482016,727864,-1,-1,-1,-1,-1,-1,735840,165395,-1,392577,-1,162807,-1,576947,475808,-1,-1,-1,-1,-1,174721,-1,551173,-1,396001,110093,-1,-1,702589,-1,498760,-1,-1,-1,897152,-1,-1,14622,-1,750674,112076,-1,796294,-1,-1,138806,-1,303446,457362,73533,-1,707220,876036,147751,627535,5008,-1,-1,-1,-1,332490,-1,-1,-1,973197,619959,28446,72230,512217,914197,620572,687267,347980,-1,275047,-1,-1,567552,-1,-1,904489,931398,767425,-1,231368,154154,-1,-1,-1,998929,56088,466715,-1,-1,121296,291320,-1,-1,-1,-1,-1,458243,-1,690552,-1,871889,610494,-1,-1,-1,-1,-1,-1,661057,-1,37112,332694,-1,-1,-1,-1,-1,65505,-1,-1,83323,-1,780372,-1,518322,574649,998692,-1,-1,-1,289129,372714,938766,-1,504814,-1,338711,-1,-1,581115,18491,411304,-1,38214,-1,-1,979442,847883,180032,-1,49972,132970,-1,-1,613279,39456,-1,926222,197159,-1,899682,-1,-1,619376,-1,-1,76739,13440,463349,-1,446809,236913,-1,529414,556069,-1,714856,-1,-1,79832,486041,-1,286426,-1,669022,-1,-1,505578,-1,47201,316905,-1,318573,-1,-1,315351,-1,62405,-1,267945,429726,12259,-1,-1,137829,182339,602756,611596,384833,432973,-1,530334,492355,182655,-1,794043,-1,73885,329102,-1,196861,465759,-1,266353,584122,-1,-1,-1,-1,292249,-1,964438,230291,589531,-1,-1,-1,-1,782596,381366,-1,180957,337263,652209,742449,-1,-1,-1,-1,-1,-1,252781,678331,143514,493257,548114,-1,-1,453262,190669,268405,619546,-1,334110,320317,434066,-1,-1,-1,267482,-1,-1,420282,-1,797901,486323,357373,375490,-1,917365,809627,686964,734046,72849,628951,-1,477094,-1,-1,840092,900035,133493,671693,-1,381042,898133,-1,-1,20447,-1,-1,685958,-1,-1,-1,427189,202141,997040,-1,-1,-1,-1,774480,896011,638725,781764,-1,-1,-1,-1,-1,570556,-1,33077,-1,154882,325825,-1,542898,-1,397305,755255,-1,420313,399166,-1,101571,916614,-1,723897,-1,-1,377373,-1,494324,930840,43345,-1,-1,805946,812724,655872,493182,-1,144496,-1,-1,-1,-1,-1,929624,-1,-1,-1,-1,990833,73086,-1,-1,773489,955618,-1,-1,241629,-1,-1,-1,549797,450370,-1,950773,-1,745978,-1,724519,-1,433404,337278,21971,303912,816925,-1,-1,-1,-1,-1,-1,-1,633765,-1,459458,-1,-1,490883,-1,-1,16157,-1,-1,-1,749046,-1,303678,-1,-1,-1,-1,378125,307730,647818,353546,252347,-1,-1,701341,-1,-1,570082,922045,72221,-1,695757,-1,-1,891730,667118,202976,-1,-1,834301,357526,-1,-1,987867,-1,-1,370545,230231,-1,283899,784924,418,287003,783302,570354,-1,867421,-1,327460,-1,-1,-1,-1,399312,483998,923139,819563,190652,-1,-1,-1,627750,642114,240993,992892,-1,169812,-1,-1,738830,-1,-1,-1,-1,925216,699075,701616,354359,-1,-1,-1,-1,774179,577329,462951,614481,-1,-1,-1,306121,-1,-1,86559,-1,522811,289382,-1,-1,70687,-1,-1,-1,-1,-1,10156,-1,-1,-1,123170,853841,782822,-1,-1,318327,-1,473882,-1,-1,-1,-1,561876,-1,373877,-1,769616,-1,371928,-1,-1,829991,-1,200525,775782,-1,-1,426930,-1,-1,68368,833551,-1,-1,-1,189650,-1,112218,344431,853394,163962,252367,-1,616965,-1,-1,169975,-1,-1,266673,90680,4316,329798,-1,-1,-1,346818,-1,-1,693563,-1,249524,-1,474880,247356,343552,-1,36208,-1,-1,506012,-1,853815,503809,-1,-1,-1,214325,-1,-1,523794,-1,278779,-1,-1,821826,-1,-1,-1,393300,-1,319458,856372,352450,980140,978389,-1,-1,-1,-1,48649,-1,-1,-1,-1,-1,-1,983302,769038,-1,50523,116491,190611,489735,164786,339542,414606,-1,-1,464869,183626,714148,-1,828269,-1,-1,-1,-1,595850,-1,-1,-1,-1,323062,-1,779296,216954,196402,-1,-1,-1,342857,241722,262420,922826,-1,287856,769520,-1,-1,519435,-1,-1,-1,950930,-1,-1,-1,801102,79459,827277,-1,-1,360024,673085,447177,205215,304980,449995,895761,638839,32223,684956,-1,-1,-1,77440,-1,-1,444525,689336,92343,684818,985614,731440,-1,810843,-1,945995,855826,618850,-1,502292,615791,251896,397288,785397,-1,-1,-1,-1,-1,25276,320018,-1,-1,-1,-1,192822,367670,-1,634327,670318,702232,-1,173997,-1,-1,-1,371101,218444,-1,-1,217038,-1,682736,-1,4461,589546,474754,938336,-1,-1,32359,-1,-1,-1,519364,-1,442782,-1,-1,-1,-1,530840,-1,-1,848074,818145,-1,-1,-1,-1,-1,-1,435475,637312,430080,-1,-1,103797,152408,-1,576738,-1,739616,222696,-1,-1,-1,921975,-1,-1,-1,738771,-1,-1,-1,-1,-1,-1,-1,-1,-1,534309,17157,-1,479754,811338,-1,314974,-1,251676,353916,306996,763806,-1,619096,-1,-1,-1,-1,320722,452065,396213,-1,-1,870689,-1,951779,-1,-1,-1,741389,307714,546228,-1,7070,-1,-1,163638,-1,848055,746884,-1,-1,-1,669349,932263,-1,480909,244196,-1,-1,-1,-1,162365,190010,-1,-1,990021,704945,756861,265362,855274,946660,-1,222105,455411,-1,-1,-1,81272,-1,-1,-1,192348,275566,-1,-1,690428,995006,-1,-1,490623,502154,-1,493852,993717,593878,-1,-1,-1,-1,-1,107062,6248,-1,655631,-1,-1,-1,242093,701404,-1,144206,-1,534406,286299,-1,940964,-1,-1,-1,56521,887294,-1,-1,232375,-1,91074,-1,615620,224361,801214,-1,-1,317511,-1,729002,-1,774420,787105,858468,854609,668416,908152,287426,-1,-1,-1,-1,567180,138007,930021,-1,716849,-1,831086,312376,-1,672988,497873,-1,923798,634339,-1,-1,-1,-1,-1,661678,596121,-1,-1,818899,-1,707678,432086,702693,555608,-1,-1,942966,-1,-1,752208,368712,-1,-1,-1,-1,-1,-1,649094,151986,601567,97116,-1,-1,639688,286208,-1,372086,-1,739033,-1,570949,107908,-1,-1,775601,-1,926453,-1,-1,299726,-1,288033,-1,-1,300597,487894,550364,841805,-1,609952,937099,-1,691996,-1,797859,144360,-1,-1,-1,-1,163419,-1,938321,-1,-1,-1,250321,-1,127252,957874,-1,-1,-1,419034,368728,974597,481977,712188,-1,773201,241883,571526,-1,-1,-1,-1,-1,-1,142379,557851,57154,-1,57783,19543,-1,695552,-1,899129,-1,-1,989433,-1,183198,126099,-1,467720,691588,25011,54821,797499,687176,833826,676347,648703,401456,456838,821660,-1,441766,-1,143610,909223,720764,-1,657301,-1,-1,-1,579036,182740,-1,-1,-1,158237,547896,792774,489542,125226,990624,-1,-1,-1,738780,-1,345141,-1,-1,792885,197980,887625,-1,88524,-1,99325,-1,116816,-1,-1,19071,-1,-1,-1,693218,-1,914089,-1,-1,493840,-1,-1,234884,-1,-1,686292,-1,661510,19592,-1,-1,424248,143372,-1,-1,866736,759530,-1,134559,-1,-1,77595,-1,911795,-1,-1,42320,-1,-1,98655,-1,-1,168268,-1,672009,-1,-1,-1,782474,-1,-1,-1,677617,662163,899801,325841,-1,-1,-1,971097,-1,754242,-1,271323,-1,907195,307385,738539,768236,-1,907652,132429,-1,868666,288160,307115,-1,951119,-1,-1,-1,129468,495551,950418,-1,-1,-1,442787,419654,-1,460193,-1,-1,163249,4580,822004,769989,55643,-1,918412,764563,-1,641262,-1,-1,-1,998957,938340,-1,610344,-1,-1,933714,79054,-1,375522,751902,781148,-1,-1,994456,-1,-1,-1,-1,219479,167136,-1,443223,-1,-1,-1,-1,-1,491891,723445,-1,778505,583903,-1,616625,204562,-1,-1,326535,560947,-1,626441,-1,525125,-1,585042,122329,781153,-1,132678,82557,-1,-1,-1,689569,198364,616466,-1,-1,204242,-1,867022,-1,-1,737377,902533,-1,624873,618082,-1,584901,218687,494302,17504,595066,-1,385752,326417,537399,-1,-1,534603,909012,-1,555699,783847,-1,69631,221386,908419,963233,-1,-1,225242,978706,-1,919878,-1,-1,-1,-1,485164,-1,-1,-1,-1,-1,121812,230776,222426,353395,916395,-1,188063,411719,251511,756885,-1,-1,-1,148546,-1,-1,457506,739576,-1,-1,57850,722255,-1,-1,-1,741630,346871,706329,-1,918214,-1,-1,-1,79511,502051,-1,42527,952459,-1,-1,981078,-1,-1,854102,-1,501457,-1,-1,-1,831708,-1,799223,156880,-1,-1,-1,-1,262840,604301,-1,476820,267554,-1,896711,-1,-1,670499,-1,422457,966142,-1,-1,744514,172738,-1,-1,-1,-1,433148,281732,-1,629386,-1,704802,-1,174969,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,974515,713086,-1,-1,69802,213876,199790,-1,-1,-1,-1,470998,-1,64777,562907,-1,-1,-1,-1,723556,-1,-1,-1,-1,-1,-1,-1,-1,-1,265958,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,232751,-1,955614,-1,324518,-1,336790,-1,348097,100290,738448,-1,433266,-1,544149,-1,-1,251199,181130,383321,695192,679808,348378,770428,386140,-1,30696,-1,-1,711335,-1,-1,910456,-1,-1,-1,-1,-1,592102,846088,585639,-1,-1,-1,803672,-1,548042,-1,68285,697084,-1,-1,703778,-1,-1,-1,200085,-1,-1,985278,-1,277873,-1,-1,397279,601041,-1,21367,452573,-1,63343,-1,578254,-1,468514,374957,770990,922110,-1,-1,12685,421393,759304,223837,-1,869137,128438,709872,-1,663757,270810,14608,771560,113770,-1,785839,802773,-1,-1,167259,-1,-1,-1,-1,810459,542578,-1,-1,525216,-1,269685,-1,779340,-1,-1,810408,-1,329473,549994,-1,-1,104176,-1,318269,-1,218798,87738,374702,492065,-1,72197,-1,818684,-1,263761,-1,-1,-1,-1,191023,537967,-1,253770,-1,781609,251448,-1,-1,859549,600781,-1,256453,424472,568290,550038,372850,-1,54487,-1,234546,-1,531986,-1,-1,27165,999588,760610,-1,386148,-1,-1,471675,971163,-1,-1,-1,439169,423846,-1,-1,-1,-1,335908,-1,787624,-1,501042,962980,-1,-1,-1,-1,-1,-1,476613,374406,-1,582738,246128,-1,-1,-1,-1,707210,421551,265963,584284,-1,779506,19375,763906,851117,998962,556904,419116,118260,653597,954960,924356,911474,-1,655496,784683,-1,268116,-1,934416,350984,-1,-1,-1,665273,-1,567129,-1,642839,877247,-1,327563,220425,-1,-1,323838,362137,210129,-1,500188,5143,48890,181216,-1,-1,-1,-1,101249,710512,-1,-1,660124,-1,791721,-1,342698,-1,-1,-1,652912,-1,-1,-1,757104,-1,-1,-1,760814,-1,212266,324738,468357,-1,-1,-1,-1,301580,924727,719000,-1,487150,-1,-1,535063,-1,51293,-1,140414,-1,384813,-1,771395,-1,130710,-1,-1,582584,548541,-1,593414,-1,-1,326056,-1,-1,-1,-1,280854,-1,665531,367126,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,421153,-1,-1,758444,-1,-1,913962,-1,-1,847310,-1,-1,-1,190362,490999,-1,204748,358892,997618,369758,271448,-1,-1,483573,810827,319928,-1,405420,-1,406709,501422,-1,249474,-1,-1,-1,727097,636755,-1,-1,575640,437051,-1,247502,-1,-1,7226,-1,797100,-1,-1,721473,827009,899913,-1,-1,203672,-1,-1,-1,753680,-1,-1,-1,897494,-1,-1,-1,879362,160245,442282,-1,471712,499612,-1,-1,164635,890983,-1,-1,-1,128139,779686,-1,-1,294361,263919,-1,411474,179232,534821,524426,-1,765851,-1,-1,638914,885863,244898,-1,149304,141163,918056,-1,679126,-1,-1,-1,-1,376099,-1,279960,-1,-1,113109,-1,294145,-1,-1,956917,-1,-1,276793,570326,-1,437252,417177,612119,747681,229968,-1,170613,-1,669895,-1,-1,-1,860435,367522,-1,943325,30733,-1,-1,-1,898701,220437,422274,-1,877336,-1,671963,-1,-1,-1,227541,815581,-1,-1,-1,691108,353791,-1,4088,382051,940447,-1,664897,83031,-1,-1,230037,543358,-1,-1,-1,-1,-1,442834,236989,779442,372375,661213,-1,902082,355108,148543,-1,16621,-1,171898,856491,650200,-1,334285,165504,-1,67675,-1,572706,-1,-1,311951,616696,312945,-1,-1,-1,569936,639715,657845,985392,644102,135838,-1,925760,-1,-1,424255,-1,-1,744692,-1,325937,719624,419904,-1,717621,891533,-1,923325,-1,127367,789222,-1,-1,994856,235092,596132,-1,-1,-1,253464,-1,303703,820567,111715,822377,-1,-1,956717,-1,315989,312035,195018,-1,-1,-1,880890,772177,250083,-1,-1,-1,298645,280771,616911,666748,94802,-1,58377,932143,941627,-1,-1,532853,-1,63996,-1,625179,219545,265864,-1,-1,-1,280652,-1,-1,-1,463679,-1,899391,-1,-1,-1,-1,-1,-1,365919,-1,-1,14865,-1,495090,-1,141084,-1,-1,847468,-1,174457,71136,-1,-1,-1,-1,-1,-1,824098,-1,811546,341118,73312,793978,906856,-1,-1,625940,-1,-1,833480,-1,-1,440198,-1,-1,-1,935504,-1,-1,-1,-1,434495,-1,-1,-1,-1,-1,-1,-1,947078,-1,-1,-1,472493,-1,691922,-1,-1,461158,-1,838085,-1,646698,-1,-1,689525,-1,976125,333050,-1,865791,-1,220681,-1,-1,466280,699695,-1,429526,918302,-1,-1,-1,-1,970081,24818,-1,25645,-1,-1,83139,123862,-1,367571,175358,619587,118950,-1,-1,441684,-1,702224,-1,-1,-1,339029,-1,-1,302239,-1,-1,51157,957476,503336,-1,-1,-1,-1,-1,6366,-1,991036,205301,903322,-1,-1,290548,-1,-1,567423,114586,-1,-1,-1,584802,-1,540670,46747,624141,-1,347253,97394,-1,959789,967035,334903,978308,-1,386296,-1,485791,-1,-1,-1,31839,101957,-1,-1,-1,526319,-1,-1,-1,-1,982400,847346,-1,189281,76978,-1,460267,-1,-1,-1,983980,30119,-1,-1,516462,424555,828788,-1,-1,641290,-1,79152,78892,-1,9266,330951,-1,869463,158748,-1,843968,-1,-1,134899,794962,108684,751353,-1,-1,-1,-1,-1,-1,115324,-1,-1,749071,599184,646415,635234,162579,-1,226052,-1,870758,900940,662182,-1,657989,-1,504650,-1,-1,800135,-1,921341,-1,89160,188738,623694,827812,535907,403344,-1,37885,139954,21171,204664,140236,-1,998129,643429,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,958015,-1,-1,-1,-1,-1,-1,146555,-1,-1,420624,336786,-1,946769,667796,230392,804096,-1,-1,-1,-1,811741,-1,875544,587098,-1,437095,215354,952207,63469,197652,-1,541231,-1,720406,-1,926458,661854,-1,100788,910985,252025,944113,-1,881391,-1,-1,-1,527063,681443,577765,658334,-1,-1,-1,673355,167745,998504,720778,-1,-1,-1,-1,509081,-1,946958,-1,-1,-1,-1,366418,422434,298262,848033,-1,870849,634889,-1,-1,915266,646349,-1,462483,448777,314741,380581,-1,-1,-1,-1,-1,-1,-1,-1,-1,406145,997690,28710,860778,-1,426517,491904,35175,-1,-1,314102,-1,-1,-1,-1,278104,657140,-1,83580,348128,40393,-1,-1,2508,-1,-1,-1,614141,702500,-1,289072,644967,-1,-1,-1,-1,-1,-1,-1,382852,283336,772184,368299,-1,200521,-1,311009,679232,-1,628950,-1,-1,-1,-1,-1,161628,-1,-1,-1,965889,-1,-1,-1,-1,982387,662661,29248,-1,636452,-1,-1,-1,516497,-1,-1,500377,312789,44313,-1,-1,-1,-1,416824,-1,182037,-1,213159,-1,13660,165026,-1,54831,-1,-1,-1,74165,531981,987852,776814,-1,343195,-1,-1,-1,29366,-1,799015,62049,-1,51409,-1,-1,717042,640488,853083,803503,684075,-1,477321,-1,848486,240166,915393,-1,161797,460409,-1,678442,669449,-1,-1,548596,-1,-1,692184,669603,998085,495050,886602,995137,82636,-1,-1,-1,358944,552489,248650,-1,216133,-1,71512,115010,-1,137391,358817,-1,238313,-1,-1,-1,626257,933979,91235,803232,-1,289518,169258,86435,-1,-1,-1,-1,937314,-1,114480,-1,999202,551100,-1,-1,-1,433189,887288,370400,-1,972630,-1,-1,-1,148714,389732,191985,558816,454765,25357,-1,208768,-1,-1,-1,-1,-1,-1,-1,-1,43173,95954,-1,113636,931610,-1,-1,991996,-1,-1,966955,726866,-1,919569,866677,-1,298355,-1,-1,-1,-1,660208,-1,-1,-1,-1,-1,-1,655172,694942,378713,-1,-1,-1,-1,-1,743253,-1,-1,647776,-1,-1,893739,-1,689466,259373,235718,296746,-1,-1,-1,703668,975651,462007,268756,348274,-1,-1,-1,-1,652150,466341,-1,-1,663773,-1,580354,268247,-1,466835,-1,211502,624901,-1,523376,-1,460889,292941,-1,-1,572779,5505,-1,-1,546592,67605,-1,733621,631116,854061,-1,-1,-1,379699,139959,355589,567648,-1,-1,-1,-1,58243,61793,-1,912086,430018,871259,-1,870926,-1,-1,-1,-1,-1,-1,-1,-1,-1,515353,709399,190132,-1,-1,356221,-1,-1,-1,-1,776444,539442,-1,-1,142403,963973,100105,557835,246752,-1,145049,-1,-1,97338,-1,-1,-1,-1,513440,-1,699683,933970,-1,-1,-1,-1,519432,-1,438978,-1,347244,668618,-1,330359,242529,-1,-1,-1,-1,-1,807831,771525,478186,638165,-1,374960,945247,-1,-1,-1,723664,-1,-1,-1,734382,-1,-1,699455,712052,581607,170478,-1,558975,688817,583867,424387,-1,383660,-1,-1,977970,-1,-1,812509,921319,222104,-1,-1,434924,-1,690049,-1,-1,726125,-1,623697,-1,-1,-1,-1,594958,580880,-1,-1,813512,-1,720702,-1,-1,107455,-1,235079,-1,990992,489444,-1,659018,-1,-1,-1,-1,726762,-1,349359,-1,-1,340769,548240,-1,-1,885822,-1,680342,557806,-1,-1,570786,386905,361255,-1,91860,-1,-1,-1,793122,36364,285297,45843,980868,619421,-1,866780,-1,547669,-1,-1,826881,-1,-1,305402,-1,801875,-1,865746,-1,634610,-1,574672,92124,631374,256325,-1,202395,10804,812115,230689,53479,-1,918398,687873,135564,-1,-1,-1,-1,437748,983249,433174,-1,-1,-1,48044,-1,460491,327773,-1,557404,-1,-1,-1,-1,552117,-1,-1,-1,-1,203810,-1,-1,-1,325807,-1,514708,-1,647362,318287,-1,558472,-1,-1,159910,-1,-1,-1,-1,534530,403282,-1,-1,-1,383351,277277,-1,344159,625988,708881,-1,519304,-1,-1,696213,928051,-1,692833,191638,526305,-1,577374,765011,118254,46518,-1,406519,266757,846097,-1,-1,516132,58521,-1,-1,878805,38712,514235,-1,606633,287987,751127,-1,272212,-1,822268,206043,440559,785324,-1,-1,647896,-1,-1,-1,-1,-1,-1,458706,-1,-1,663672,-1,292190,-1,66896,648528,-1,-1,87742,-1,45637,39277,872525,28899,-1,51592,-1,89420,-1,-1,707720,-1,-1,113202,-1,669081,565292,-1,491886,-1,742991,887218,-1,52910,-1,-1,468291,-1,-1,837453,424103,797273,223401,890360,412599,370953,381395,-1,42153,851446,-1,-1,486419,-1,178782,-1,-1,-1,286251,-1,-1,613719,-1,420312,-1,-1,895326,514588,25095,624176,5802,209492,160754,-1,525134,851184,-1,499496,178346,-1,-1,969224,445607,-1,-1,-1,-1,567119,-1,916555,-1,620571,651732,454542,954403,770685,436704,-1,-1,658717,-1,232025,-1,-1,-1,-1,-1,-1,982975,-1,909756,-1,-1,-1,-1,-1,-1,-1,-1,295691,120799,-1,-1,-1,722742,263811,977376,125930,-1,209329,-1,543110,520955,481827,-1,-1,-1,953891,165636,481538,-1,598688,722775,475287,-1,135765,157922,-1,-1,-1,-1,786063,953320,113251,541312,-1,-1,-1,148041,-1,-1,-1,40130,-1,30824,-1,885776,-1,877441,648378,-1,711664,-1,778841,-1,162364,200628,969929,-1,226381,-1,-1,-1,-1,644905,-1,-1,705059,69649,-1,884048,-1,297543,640308,847865,-1,434329,123950,495691,583003,914677,342935,381064,-1,760880,-1,729343,-1,827931,-1,328850,-1,-1,-1,-1,411995,-1,-1,-1,-1,466694,351778,-1,-1,260864,-1,-1,-1,254315,130634,187161,-1,427876,-1,-1,-1,972984,-1,477040,-1,-1,224869,-1,509861,597814,598104,911867,420709,876494,924394,44161,790509,-1,770280,250453,-1,358713,-1,372784,-1,621678,860530,-1,-1,93832,-1,-1,-1,-1,386923,325920,417940,-1,-1,886987,-1,32153,-1,-1,-1,672820,-1,784703,-1,-1,-1,716367,482502,-1,-1,255192,691329,161135,2923,557249,-1,-1,-1,975285,-1,696053,668348,111165,-1,602006,-1,-1,475352,942689,628391,12708,-1,-1,479561,179657,-1,455562,116979,-1,-1,667392,785465,26524,-1,575033,921907,899909,503991,-1,56025,-1,139491,-1,868945,-1,-1,-1,581212,181593,250015,550932,585048,-1,-1,705563,-1,-1,-1,420932,93532,-1,-1,-1,442934,831228,482790,286618,-1,-1,259394,757108,-1,913505,747407,-1,546388,749722,166497,838738,-1,-1,580437,-1,482700,563245,-1,-1,-1,-1,-1,707126,123660,906244,-1,-1,236381,-1,-1,-1,637281,493448,-1,343878,497277,807262,587891,813256,-1,375571,126221,-1,916284,-1,-1,-1,99026,362686,592555,-1,-1,10469,-1,-1,-1,-1,-1,-1,-1,-1,728534,564809,102420,-1,974978,-1,195765,404715,-1,379244,187569,-1,-1,902431,247725,729915,838499,-1,-1,-1,788984,-1,524620,350825,-1,32131,957163,-1,-1,566674,-1,-1,-1,54768,-1,-1,888274,322204,451384,508835,300350,67361,590237,706360,296775,-1,772464,299322,827231,887230,-1,-1,28131,63641,-1,294475,-1,944378,-1,413068,-1,445580,870338,554476,-1,628476,934669,-1,136048,-1,51676,271590,-1,-1,820757,-1,-1,-1,324905,535093,-1,942301,960574,-1,788769,-1,560357,8888,242953,127680,-1,-1,595195,78658,722538,901410,-1,-1,141275,-1,-1,651263,-1,-1,-1,804226,-1,-1,-1,896733,618557,-1,-1,377210,348952,809688,-1,-1,-1,809927,-1,510954,249538,-1,632985,-1,-1,512746,677638,-1,-1,-1,-1,-1,-1,-1,-1,-1,258813,-1,-1,353949,-1,-1,-1,392298,746503,-1,226335,960875,-1,713369,952677,987840,-1,-1,-1,957208,845433,632921,-1,-1,-1,613977,-1,739016,-1,518016,910769,-1,-1,-1,-1,-1,28577,275969,-1,-1,-1,81662,-1,-1,351071,-1,-1,965868,546789,858817,-1,138320,-1,-1,-1,-1,228376,248795,249028,-1,-1,-1,108276,-1,151688,-1,-1,233795,423523,733602,-1,396544,-1,-1,826102,100577,623068,-1,-1,-1,-1,-1,336408,-1,-1,82819,-1,-1,-1,-1,893762,-1,127672,603816,912643,-1,178293,825391,583635,-1,-1,923636,52630,326306,-1,975113,-1,-1,375496,-1,-1,699741,668069,-1,950585,-1,658107,-1,-1,-1,-1,-1,-1,-1,-1,368753,-1,126180,658064,-1,753356,-1,-1,-1,325548,456459,882502,98114,29854,-1,52105,48639,195121,-1,811091,-1,-1,-1,358821,377945,843576,-1,268491,-1,606107,228241,817276,-1,-1,-1,868465,-1,459676,308325,685042,-1,824526,395757,-1,232981,-1,99087,263295,-1,-1,969349,919487,940090,928008,-1,16306,252114,-1,-1,984958,525537,257794,-1,-1,854630,880377,-1,-1,-1,-1,-1,-1,785084,-1,537519,152180,-1,-1,806006,229140,160200,853755,-1,997470,964031,-1,-1,-1,-1,74837,166184,769519,-1,-1,-1,756330,-1,40698,657296,8783,438609,432058,550923,-1,-1,236063,-1,44674,66772,478001,759213,586190,430410,-1,487770,-1,388505,-1,423881,-1,-1,-1,-1,315855,765876,654757,176156,962065,311665,167730,447878,590086,-1,-1,831326,-1,-1,187459,754510,425103,-1,-1,-1,342854,303219,537646,83979,-1,-1,96410,-1,571073,-1,-1,625501,-1,-1,196607,-1,-1,712787,-1,-1,511433,-1,670523,769628,-1,947342,60393,352903,247280,739393,11783,957363,-1,756059,-1,920790,367244,-1,845168,294494,517913,-1,479972,152228,-1,949962,857750,-1,-1,-1,-1,-1,-1,194934,-1,239796,798748,-1,-1,191707,-1,-1,-1,-1,-1,-1,-1,956138,115963,-1,233648,-1,-1,230144,140998,-1,870250,-1,161932,-1,595906,257767,-1,626355,-1,-1,14740,682118,134162,725211,-1,-1,151682,103420,885578,-1,904351,-1,222024,233279,-1,-1,473632,666033,-1,609462,531082,404435,427274,-1,-1,368273,722428,682769,111786,825031,393736,569860,237400,-1,-1,94040,-1,682825,192802,-1,-1,-1,281784,562771,52782,147441,-1,-1,177093,872042,458858,601556,-1,66230,-1,-1,-1,-1,-1,-1,993281,715677,862765,766139,728308,-1,167937,-1,-1,799188,-1,686599,-1,-1,-1,382585,534865,-1,555408,-1,713887,585717,-1,-1,-1,-1,888629,173198,693708,163586,-1,-1,16632,-1,928206,12251,-1,-1,-1,-1,825608,321260,-1,-1,485209,-1,895141,-1,-1,172651,-1,982154,-1,501213,-1,-1,-1,-1,807599,875003,741013,-1,-1,-1,-1,779986,358903,-1,-1,604965,455431,852475,-1,475365,547729,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,110506,758264,256502,127539,77479,48493,-1,805114,958274,-1,-1,-1,-1,930869,744127,503167,-1,366356,904454,-1,-1,-1,-1,-1,-1,172400,-1,882814,-1,-1,845659,-1,-1,489893,-1,910177,-1,-1,-1,655899,-1,574953,152074,-1,-1,-1,307211,983132,-1,-1,746389,-1,-1,-1,-1,972830,-1,-1,-1,647010,-1,485976,-1,-1,-1,967398,-1,951124,-1,37338,738035,-1,187237,455195,-1,379915,717974,-1,-1,632168,-1,673569,267147,318022,-1,-1,183945,578727,285126,-1,-1,190290,-1,-1,-1,755887,-1,-1,-1,-1,-1,608739,131475,-1,687583,123599,-1,862712,399554,-1,421626,-1,470197,927118,-1,331631,-1,286334,-1,153243,911561,120394,887693,-1,22815,-1,5905,669706,73933,-1,-1,771675,-1,-1,-1,873063,273027,-1,-1,-1,-1,216492,-1,-1,-1,310084,-1,277403,751046,866209,351013,-1,-1,230995,885540,128152,550280,-1,602412,509369,-1,638536,453729,-1,-1,-1,443938,-1,-1,-1,-1,628058,-1,-1,-1,573421,-1,340346,87975,-1,-1,253096,-1,-1,627227,-1,-1,-1,-1,159613,-1,391175,211235,-1,734377,-1,223311,-1,-1,-1,673739,-1,993419,-1,-1,-1,249469,381607,315099,567979,943274,-1,859161,-1,846339,764681,737450,16657,11102,-1,41920,-1,-1,-1,-1,-1,116648,-1,614194,-1,-1,-1,954746,53708,-1,-1,-1,975959,505028,-1,-1,791269,239859,-1,84016,-1,-1,-1,-1,614060,-1,-1,188241,532743,683493,-1,-1,-1,-1,139318,579479,-1,413822,-1,513588,347862,184244,-1,808931,-1,-1,-1,-1,864312,-1,-1,-1,-1,-1,-1,-1,-1,-1,452016,-1,-1,216338,-1,-1,218857,138256,-1,-1,-1,956619,-1,-1,265708,-1,642352,-1,355692,-1,223725,-1,834092,-1,-1,-1,-1,-1,-1,398607,-1,-1,961504,-1,882203,993467,-1,597202,518814,518319,-1,-1,71992,-1,571104,-1,455252,-1,442086,935832,103076,-1,564740,-1,806915,-1,-1,-1,399134,955529,-1,466071,-1,-1,-1,-1,325759,-1,-1,-1,711283,161115,308138,715184,777558,368657,-1,31184,582305,133526,9199,387578,519773,513927,-1,832905,-1,-1,268345,949761,-1,293770,-1,-1,-1,756459,468153,-1,-1,-1,-1,-1,-1,-1,-1,846147,850482,-1,-1,-1,965569,822366,884785,248271,798038,-1,179871,42967,301814,171801,-1,292537,426003,-1,-1,208091,-1,-1,-1,472549,-1,670629,-1,-1,326864,-1,-1,-1,-1,2735,-1,-1,917210,805813,247303,181111,740930,-1,-1,32778,-1,186587,-1,-1,-1,432284,849132,-1,-1,315727,553815,374040,-1,721417,-1,8629,-1,-1,-1,-1,-1,-1,993840,-1,533042,203399,394757,-1,-1,266024,-1,363446,212791,-1,-1,720901,-1,-1,-1,-1,417685,784513,874048,-1,811930,-1,812418,109921,-1,-1,220897,-1,-1,146171,760696,-1,621039,-1,567083,265194,-1,-1,-1,-1,247026,44567,973961,86513,-1,224181,-1,983769,-1,-1,820588,890417,174843,-1,-1,769775,421213,458670,-1,822705,305882,351468,-1,560988,278085,760845,-1,-1,-1,-1,-1,-1,-1,559867,-1,981713,127835,581274,769912,-1,74490,179886,526321,-1,851709,8545,-1,-1,296075,-1,-1,12275,-1,316855,-1,-1,-1,636156,-1,-1,176948,609311,-1,549742,697097,-1,-1,-1,-1,-1,-1,-1,667058,874213,-1,186168,-1,-1,-1,-1,-1,595932,-1,186314,873133,561627,425934,386251,-1,715262,524435,-1,824387,270374,-1,-1,-1,-1,-1,936025,404918,-1,-1,-1,594629,-1,985753,981120,-1,-1,524560,-1,-1,368643,492803,-1,46268,-1,799548,-1,456876,175964,600477,807129,-1,142714,-1,-1,651111,-1,939056,-1,770663,-1,139904,938475,515809,-1,328947,-1,-1,392413,-1,-1,462742,-1,-1,626630,459647,-1,313052,-1,-1,347559,388140,-1,-1,929297,-1,318953,-1,-1,695491,853118,184289,-1,390350,332889,-1,836865,-1,630539,-1,-1,286584,-1,968052,-1,-1,-1,347303,852973,-1,-1,-1,626815,964612,-1,804126,73171,189559,-1,-1,-1,924365,862958,-1,-1,-1,934209,127305,7400,-1,910965,60029,370298,180426,-1,-1,403407,402773,271313,987926,537331,163921,543434,539753,647272,760800,-1,-1,808976,-1,542739,722636,456942,414459,84946,-1,-1,106521,798273,-1,108365,-1,-1,954239,-1,300376,-1,99855,574259,-1,902924,782987,951324,-1,-1,415534,229704,700909,681560,521053,61745,110059,20986,735754,-1,-1,-1,-1,-1,482646,-1,951732,-1,-1,34656,-1,-1,-1,-1,-1,519036,728966,689212,-1,685233,-1,-1,54700,557366,-1,103941,-1,-1,854240,-1,-1,-1,-1,872133,966104,92059,-1,385004,232670,-1,-1,-1,-1,-1,-1,-1,976542,-1,-1,-1,900588,-1,821309,-1,929212,939878,935825,48651,-1,413724,133098,-1,411146,-1,-1,332534,-1,265159,-1,-1,510693,-1,139394,-1,415916,-1,831240,-1,-1,141093,-1,-1,-1,467668,-1,-1,895048,-1,43755,685038,-1,623987,482737,751873,810421,-1,269735,-1,-1,-1,125278,123994,-1,-1,742435,-1,-1,-1,-1,701258,732029,133904,297021,430067,253510,-1,927332,11620,951699,980546,-1,-1,-1,-1,88874,-1,-1,359584,997058,-1,-1,193855,138453,-1,95184,-1,777818,-1,-1,436678,-1,837128,-1,629710,534210,-1,582636,751697,617135,-1,174173,-1,821485,-1,-1,-1,-1,303075,826808,-1,196774,-1,-1,-1,-1,674635,745430,183580,-1,925981,846068,-1,314530,-1,775925,-1,17676,-1,164108,225798,-1,-1,-1,855751,292199,-1,-1,-1,944991,868780,-1,-1,-1,928651,-1,564685,-1,95683,-1,459116,525874,886448,40792,684234,-1,523543,892871,-1,-1,-1,535180,612210,988805,563944,70417,185316,-1,786483,-1,-1,-1,876790,337031,318800,-1,387162,717520,470526,-1,-1,329990,403238,849310,-1,695839,-1,623553,24814,-1,167278,-1,-1,252454,605472,703963,228394,374778,-1,269005,-1,-1,912917,-1,945087,510539,65968,-1,-1,775005,-1,73059,444549,-1,624058,238715,-1,-1,814863,196904,-1,679,52932,-1,-1,615510,-1,192748,-1,108778,-1,-1,57029,-1,515591,-1,-1,767482,-1,128985,170490,84284,925045,-1,-1,-1,-1,756171,665882,175772,391036,-1,532136,-1,-1,-1,619796,-1,-1,909184,329856,-1,-1,-1,-1,-1,492781,245122,277424,8627,357973,-1,93427,708297,-1,299826,-1,239692,-1,407190,784481,753451,99261,-1,-1,292831,797583,-1,974618,-1,-1,-1,558995,-1,-1,152989,-1,-1,-1,-1,260811,517466,220892,721041,-1,686134,-1,339853,163691,118413,-1,-1,-1,579497,793621,348072,-1,141986,891544,-1,-1,-1,-1,-1,-1,611279,-1,-1,272122,-1,-1,863338,237259,507928,-1,600197,100999,-1,-1,-1,164876,482579,605524,878960,-1,-1,438131,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,930470,-1,-1,-1,-1,-1,663944,989612,-1,637897,11958,-1,881346,286446,-1,-1,187465,26057,-1,541411,976862,-1,798860,567851,-1,-1,373610,-1,-1,-1,661602,593589,880063,994187,36204,26356,-1,583581,140010,-1,970348,118313,-1,-1,402180,434014,138093,854671,-1,-1,113708,-1,261497,-1,219706,992008,-1,345409,30871,500799,583719,-1,32067,252642,-1,-1,205679,544354,-1,-1,184166,-1,-1,-1,947938,788435,-1,311362,-1,-1,965092,611008,583498,836199,-1,-1,-1,35891,784418,-1,-1,-1,-1,571954,920067,290169,-1,37692,-1,39028,50676,-1,220369,383533,895031,608696,692918,246499,-1,393913,-1,430359,-1,513674,-1,545238,-1,937842,-1,934342,882628,-1,943113,-1,440094,-1,238596,-1,848420,-1,-1,743693,157106,13847,538526,701330,580182,843640,951258,-1,-1,435409,636803,-1,-1,786791,-1,-1,-1,381156,-1,-1,233708,-1,-1,586439,-1,991176,-1,-1,61448,-1,76244,-1,-1,172531,847071,195292,-1,-1,887004,683577,-1,148272,477227,986882,-1,162720,-1,283774,553866,-1,275044,-1,150555,-1,874717,-1,183778,-1,373717,-1,-1,333228,210497,236093,-1,894621,-1,-1,57704,-1,-1,-1,-1,-1,-1,706101,105051,-1,-1,-1,-1,-1,-1,-1,-1,176149,-1,547999,210738,-1,857707,826056,-1,761871,-1,-1,828342,835413,-1,-1,-1,953557,602771,525431,-1,-1,832453,739306,52429,554747,432770,-1,-1,390903,-1,961028,-1,-1,610788,895901,553851,810058,-1,158558,-1,-1,52315,556251,-1,-1,434469,945267,-1,-1,459850,-1,-1,51695,682618,-1,101132,-1,-1,-1,269824,607454,-1,-1,-1,711886,680376,-1,-1,423420,-1,691214,-1,281206,-1,264934,935844,470015,633980,414170,864664,-1,-1,-1,-1,-1,375343,543815,19654,-1,428686,-1,-1,-1,568073,523082,36079,-1,869899,998212,875783,-1,-1,268473,-1,482479,78132,801950,829498,-1,-1,899508,-1,-1,-1,-1,-1,-1,406038,-1,-1,240162,-1,986694,-1,311145,440734,878281,-1,722642,-1,832053,475070,419646,-1,-1,358926,-1,-1,827514,-1,-1,879373,440214,-1,651582,-1,464305,-1,-1,-1,942110,919595,-1,-1,-1,-1,-1,293201,527053,67622,-1,527483,-1,769752,15563,470387,-1,372705,-1,-1,-1,556845,-1,-1,802458,882470,294044,745561,722324,116727,200440,349075,-1,-1,400811,-1,72425,782077,226075,-1,228915,695430,-1,-1,-1,-1,-1,-1,-1,-1,-1,671442,-1,-1,868677,737568,47246,112356,-1,-1,931517,983595,-1,997263,-1,-1,-1,-1,613083,-1,-1,98988,-1,517055,-1,-1,193897,288498,-1,-1,559636,688792,770570,161756,-1,-1,703936,233240,267210,-1,919524,232736,784692,166069,-1,-1,-1,422579,-1,359637,787133,810039,869483,-1,-1,1819,538449,276078,-1,461872,866904,-1,-1,-1,-1,506741,-1,328074,-1,-1,58134,750647,-1,-1,868207,-1,-1,220376,247986,-1,-1,-1,-1,-1,-1,943168,-1,-1,772017,-1,-1,-1,-1,761479,-1,633090,397860,-1,618903,395329,-1,741998,-1,-1,459346,63812,-1,-1,-1,981369,-1,878339,54599,898757,261777,-1,57100,-1,169730,115528,279133,-1,-1,80365,-1,381779,-1,854434,-1,940212,631539,-1,863029,551549,-1,-1,-1,-1,-1,582818,179269,332861,25973,-1,-1,851778,-1,811196,-1,-1,-1,400435,278079,-1,-1,-1,-1,-1,-1,726371,125413,17175,160026,174353,-1,661983,-1,-1,470261,-1,824657,-1,-1,608563,-1,-1,-1,-1,147333,-1,-1,870475,-1,-1,-1,-1,-1,-1,-1,-1,-1,744169,-1,676683,-1,830593,561786,521189,129518,-1,-1,713610,251593,271714,-1,-1,-1,-1,-1,498666,644631,952557,-1,415716,661855,97748,31111,-1,369421,-1,-1,247634,434257,145827,450650,668584,-1,-1,-1,602650,-1,-1,988855,78442,-1,816510,-1,182338,472950,946802,47350,-1,918604,-1,921890,710645,132329,417076,-1,-1,484849,-1,740097,-1,-1,730529,-1,-1,-1,361115,-1,-1,-1,20556,-1,926327,559680,-1,-1,-1,-1,397941,3730,359551,-1,-1,484717,-1,-1,-1,-1,-1,-1,668834,202390,-1,277587,-1,283426,207775,-1,-1,826223,566935,-1,-1,-1,-1,-1,879230,709592,-1,375337,-1,-1,-1,-1,-1,510783,-1,-1,-1,-1,-1,713334,186228,-1,28555,-1,-1,663119,-1,184576,698803,-1,580730,-1,-1,-1,-1,-1,969228,834027,579211,-1,-1,-1,-1,365284,42050,653277,464741,-1,558272,-1,-1,105293,776331,32864,527641,-1,749680,247194,-1,437448,-1,706461,566670,-1,-1,-1,-1,-1,-1,-1,-1,726035,-1,890196,270532,414044,-1,157890,574641,513145,785908,-1,-1,-1,-1,-1,62177,-1,-1,-1,449019,313887,467186,-1,-1,633404,280679,-1,-1,-1,393689,36193,-1,864289,-1,556003,-1,443278,-1,-1,-1,943884,932887,334664,-1,-1,907231,-1,963248,673824,-1,-1,-1,16589,473424,-1,-1,592171,543899,-1,-1,94146,-1,-1,-1,-1,-1,-1,423297,-1,-1,-1,-1,-1,-1,296294,-1,446073,-1,-1,-1,611653,184596,81292,190113,-1,-1,-1,281881,178505,-1,49206,911676,538992,407118,145183,-1,967250,126870,-1,754825,-1,-1,-1,929440,435298,199414,860595,662691,-1,837535,79517,-1,906133,-1,416013,549613,89576,-1,-1,467715,248136,-1,367607,-1,-1,-1,787522,-1,-1,-1,450004,-1,371256,423452,-1,849900,708237,-1,-1,-1,-1,370814,-1,978857,869959,144547,-1,33080,-1,209741,-1,738941,196011,98918,747953,532237,24211,-1,-1,-1,-1,-1,876193,40775,288907,299686,-1,-1,662525,605215,490390,173939,114789,-1,-1,-1,-1,527157,-1,-1,-1,646544,-1,940046,-1,-1,-1,588787,788525,745492,410138,-1,78112,-1,228504,-1,-1,947769,-1,-1,-1,-1,370321,244162,-1,703840,204454,356725,-1,610105,134734,928856,-1,-1,725298,121320,-1,849198,256883,-1,83832,-1,753273,-1,665871,-1,-1,822005,896977,764622,884972,-1,185046,-1,-1,-1,-1,-1,-1,781102,-1,-1,-1,-1,644684,-1,272960,433902,884606,186081,636991,657269,86706,-1,144210,977763,168401,64465,288647,644097,-1,360254,-1,821159,302468,65751,-1,722333,198778,319040,-1,-1,-1,-1,768016,-1,624618,799164,-1,346569,193747,-1,735935,-1,593154,-1,-1,742837,-1,-1,-1,-1,70995,-1,-1,609719,409583,997909,-1,-1,-1,-1,284588,-1,-1,-1,345895,-1,-1,-1,-1,-1,111125,-1,328724,-1,555361,-1,170849,-1,-1,801142,529594,-1,-1,-1,-1,-1,-1,662321,-1,837943,-1,-1,946194,770465,340055,534013,-1,421680,-1,-1,-1,-1,68938,-1,-1,210175,-1,-1,832417,990044,-1,-1,370456,-1,-1,550851,-1,-1,150679,-1,-1,610522,-1,219409,387080,-1,941008,912001,-1,815843,-1,-1,183918,-1,790124,140518,578758,-1,922333,-1,603555,-1,691613,352054,823566,687620,131912,460342,106287,-1,410662,580818,-1,111228,-1,-1,979115,-1,-1,537749,-1,685188,-1,-1,733779,-1,875483,216597,-1,476965,881228,769916,-1,999075,698279,-1,-1,825582,-1,-1,-1,-1,-1,854027,-1,-1,93439,-1,234040,717481,-1,636858,731600,301149,-1,436108,95806,993926,-1,-1,422954,302474,19472,203211,871468,-1,185630,-1,904939,797733,-1,580083,957480,691057,721442,952372,823005,630033,357118,-1,235197,-1,984622,-1,-1,-1,284527,-1,-1,825191,272818,-1,-1,917865,277151,295774,-1,889468,899638,-1,610585,-1,390185,638860,-1,-1,197789,-1,-1,573703,168449,-1,-1,429619,-1,565992,-1,-1,843312,-1,44107,-1,-1,-1,-1,-1,52003,249722,910935,132767,287941,-1,648110,-1,11650,-1,288767,583855,-1,-1,446098,-1,17603,638509,473841,859646,-1,977232,221558,-1,786622,180621,-1,-1,117542,791557,107896,326793,-1,156909,603344,818756,230455,549191,-1,764575,124202,111028,686846,302275,401489,198363,484872,-1,645902,540303,-1,415633,860396,87725,-1,-1,-1,572535,-1,-1,-1,-1,297836,851548,-1,178618,993354,-1,-1,-1,118013,108064,-1,-1,-1,-1,798369,822725,477531,-1,803681,-1,-1,-1,-1,-1,88329,493580,-1,188823,110721,462000,823395,592449,-1,239346,-1,645428,634448,-1,-1,377168,87627,605393,770966,-1,278367,-1,833521,-1,955591,895291,-1,235206,-1,-1,33666,-1,-1,-1,543230,-1,-1,-1,-1,-1,-1,-1,-1,317057,98549,-1,-1,-1,13269,689824,662172,184979,-1,876927,-1,-1,678581,-1,899857,-1,-1,439568,-1,-1,-1,-1,-1,-1,248329,-1,-1,470719,582102,86256,-1,911324,536563,-1,431677,-1,616946,-1,-1,-1,-1,957618,909108,246328,-1,-1,829756,-1,661361,-1,505858,-1,-1,296912,943587,502674,-1,286068,-1,151381,601722,398779,285789,-1,-1,492813,-1,323456,-1,-1,-1,758114,-1,-1,151549,682352,-1,-1,862095,-1,-1,-1,108102,640028,298879,519310,753378,-1,-1,257780,438031,-1,-1,151011,-1,-1,-1,595802,-1,-1,-1,-1,-1,-1,-1,10842,-1,229257,112583,645006,-1,84247,-1,-1,-1,-1,714772,44170,570390,838087,-1,-1,321555,-1,509534,-1,743297,-1,98522,250406,-1,348066,-1,-1,-1,-1,122698,-1,257731,-1,910230,629390,-1,830876,-1,313919,365054,-1,395171,378706,-1,-1,-1,-1,82859,-1,606579,-1,-1,611740,-1,896887,139886,192168,249870,-1,370971,-1,278752,-1,421128,-1,991136,532616,197285,-1,-1,-1,703176,594853,732261,-1,-1,460862,-1,638454,352970,-1,479883,-1,212020,386777,179404,-1,-1,-1,153548,-1,-1,398414,234736,-1,-1,523814,-1,-1,-1,412297,853760,598889,-1,898966,31705,-1,-1,-1,-1,-1,280115,210091,842806,42256,406037,836098,-1,-1,-1,-1,-1,936570,-1,-1,-1,-1,995314,446193,225101,596716,954615,-1,-1,-1,-1,908973,972072,-1,-1,-1,-1,177105,-1,-1,-1,-1,-1,54876,635147,736766,837315,81738,-1,763606,-1,209448,50856,-1,-1,-1,981776,-1,-1,-1,197440,-1,-1,89889,-1,269197,-1,197619,-1,-1,836072,851986,458523,-1,-1,-1,-1,-1,408675,583005,674437,-1,-1,424959,-1,937029,-1,-1,-1,327193,-1,-1,734729,904159,-1,-1,386684,764390,303596,-1,498832,637047,675366,698865,-1,593336,714320,92788,183063,-1,-1,971049,-1,987339,659535,-1,309456,-1,-1,233064,774037,332543,681061,-1,-1,-1,-1,-1,-1,120008,-1,-1,-1,-1,370664,285287,354305,-1,395986,66834,356059,-1,-1,713435,-1,-1,-1,-1,600236,52415,533874,133844,983162,673343,386823,753138,-1,-1,844136,-1,18635,-1,-1,-1,-1,-1,47696,-1,379371,-1,624562,97982,305430,-1,-1,764047,-1,-1,794291,-1,-1,-1,-1,-1,-1,-1,650289,146942,986620,-1,-1,-1,917369,822602,-1,916512,748311,798866,-1,167456,-1,-1,-1,30131,572377,-1,682276,286572,587171,-1,-1,-1,-1,544370,-1,-1,480330,694462,751217,-1,397011,502217,-1,776880,-1,21529,487247,-1,-1,881955,-1,599603,124371,-1,-1,433369,-1,-1,-1,171352,-1,-1,65074,400122,-1,-1,-1,142163,828841,-1,407904,-1,625717,-1,-1,986957,-1,-1,128996,-1,552239,-1,-1,-1,768275,-1,958305,292004,463810,-1,490816,484246,765061,34730,789660,925446,590743,-1,-1,-1,456525,-1,805440,725275,527379,899966,574879,569927,337907,-1,77434,-1,-1,880880,-1,-1,-1,-1,573688,525936,141001,354608,837885,387918,-1,585455,-1,-1,-1,-1,-1,-1,-1,67910,964009,548425,527968,835190,198553,760536,489574,-1,180407,-1,552228,-1,-1,546666,-1,-1,190380,231950,630837,-1,-1,-1,-1,325266,-1,-1,863696,-1,-1,192848,-1,387633,-1,-1,-1,-1,474436,-1,861964,-1,436458,-1,67213,-1,946105,-1,763762,244605,825152,-1,135833,94570,856820,-1,931122,202575,458619,608224,856706,-1,305893,795216,828570,497638,-1,304723,301127,368475,776286,-1,-1,670848,788088,-1,906328,38372,-1,711637,-1,-1,619125,517097,-1,610337,587375,-1,-1,549560,-1,-1,-1,-1,878726,-1,-1,-1,-1,882755,86044,-1,-1,-1,961038,845098,-1,823981,112798,307985,-1,544165,-1,-1,197444,548183,-1,-1,564915,367752,620281,-1,-1,-1,242578,-1,-1,66811,-1,344900,457108,958605,53485,233551,-1,439017,720524,502780,-1,135825,196796,935287,-1,-1,-1,731455,-1,-1,-1,-1,8931,-1,2434,-1,102732,197809,496333,-1,57889,254662,-1,-1,-1,-1,-1,336388,390197,962625,826495,-1,-1,613625,-1,-1,625920,41999,-1,607101,-1,-1,525768,679728,310505,-1,-1,-1,-1,-1,860810,986239,-1,550680,-1,255140,-1,-1,263769,278110,949193,359751,119414,-1,81456,-1,346647,881416,-1,62992,-1,709042,812944,-1,153204,726803,-1,917181,-1,255829,927574,876946,395402,501215,-1,-1,-1,866211,293393,661112,-1,931240,391600,37559,-1,-1,200254,-1,312972,269153,227614,611888,264775,737021,-1,-1,986354,-1,-1,-1,693803,468953,314500,-1,-1,762939,304979,-1,930552,197120,265390,-1,-1,-1,-1,690669,-1,-1,-1,-1,-1,-1,78030,913461,-1,-1,986307,345036,839385,-1,-1,70433,696518,-1,-1,-1,297389,493950,-1,-1,-1,-1,262357,-1,384857,-1,97079,-1,306972,-1,-1,690937,-1,278395,635517,623826,757068,399156,-1,133880,141280,109688,759961,90656,-1,-1,-1,744887,-1,435278,-1,565964,797084,188838,-1,-1,-1,-1,556644,327312,345831,915098,761441,-1,-1,63933,-1,11454,206050,626035,966041,111531,-1,449188,150538,-1,-1,123049,83486,-1,-1,353233,-1,509285,-1,360692,-1,-1,421694,-1,-1,-1,101424,647018,-1,-1,313820,886732,974104,960905,-1,747381,-1,-1,-1,88316,-1,156151,334026,-1,173475,380117,409030,242745,753621,343796,-1,-1,128642,189023,-1,287333,-1,381491,938608,-1,-1,-1,972357,-1,-1,-1,883409,263399,-1,-1,678613,833343,-1,-1,-1,-1,-1,-1,772997,-1,-1,-1,-1,927182,130501,-1,971646,-1,404271,-1,98911,693455,503893,-1,571474,719866,-1,526994,248728,-1,-1,853035,-1,-1,-1,-1,584812,528019,-1,-1,769286,877831,-1,762407,-1,-1,-1,-1,89861,-1,-1,-1,-1,575134,-1,653228,390965,628898,611036,497254,-1,224418,-1,-1,-1,-1,-1,-1,-1,811284,846745,175581,-1,-1,-1,-1,867296,-1,169536,-1,568855,42383,-1,294021,-1,-1,-1,729620,162494,220465,-1,994273,87156,941936,395473,-1,-1,-1,744999,240289,959726,-1,132502,109017,-1,116261,-1,612921,184837,-1,133961,782420,-1,212295,-1,-1,198334,-1,959484,143505,-1,-1,-1,672172,-1,601142,615152,-1,821184,-1,754520,-1,-1,478755,-1,-1,594265,-1,-1,893584,-1,545690,-1,-1,902918,471827,-1,-1,567841,-1,553785,-1,-1,701069,-1,714014,-1,-1,-1,892400,555779,750300,-1,312092,542316,222729,-1,-1,-1,881274,683262,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,619738,-1,405046,-1,-1,772089,-1,796669,633575,-1,-1,-1,-1,598439,728706,180158,-1,264602,-1,461111,62187,969992,300258,449242,462229,-1,-1,-1,-1,572414,400362,97085,-1,256667,-1,-1,-1,919936,478523,364960,353772,-1,-1,-1,504681,572657,-1,63261,-1,725141,-1,819823,-1,121011,965939,-1,591582,-1,-1,-1,997746,-1,190973,-1,-1,-1,-1,202529,-1,869683,480628,-1,890620,354536,23860,692083,637661,-1,643797,-1,173290,-1,-1,-1,955442,290244,-1,355353,-1,-1,136945,-1,-1,-1,506572,19378,-1,89493,318552,-1,-1,128980,-1,508833,-1,617767,-1,475827,-1,-1,688144,804860,411070,346265,-1,898472,-1,492910,-1,809488,640429,-1,-1,-1,-1,182142,-1,197281,545320,-1,-1,72986,432502,217595,-1,491706,-1,-1,386407,728363,364435,-1,664686,556912,879567,-1,-1,590565,390167,-1,587017,581596,173576,162823,-1,90070,969341,308684,306999,910867,39204,-1,101830,278684,-1,866054,-1,741468,-1,507554,317464,-1,-1,523348,926257,441057,270213,-1,-1,-1,-1,-1,-1,517621,591127,-1,-1,262172,723736,-1,-1,996718,-1,-1,-1,551339,559259,760976,-1,-1,-1,431110,-1,-1,-1,-1,674173,47602,44057,689025,-1,-1,331282,-1,297068,-1,649445,-1,848290,-1,-1,249864,58846,-1,671735,952643,129723,-1,-1,249705,66472,-1,-1,77755,553688,528293,566644,-1,-1,-1,246794,-1,476983,-1,-1,750215,-1,-1,203850,804867,-1,706599,225284,-1,321455,-1,177581,-1,728479,696562,-1,405254,-1,-1,-1,-1,-1,-1,-1,698213,-1,-1,-1,-1,-1,964538,10551,452975,609461,-1,577051,755520,421085,-1,327091,976734,538576,-1,233845,896139,-1,967475,52083,-1,-1,-1,152078,868075,-1,-1,-1,-1,-1,-1,-1,839712,-1,319348,255121,138472,902853,-1,-1,317017,172309,-1,-1,409002,811592,-1,-1,-1,-1,-1,746921,-1,-1,72030,321504,-1,-1,470026,-1,-1,-1,562293,-1,-1,969782,711153,214120,-1,-1,201627,632649,351657,-1,420682,802503,-1,-1,-1,-1,604654,370157,-1,-1,-1,996826,451422,-1,-1,281750,-1,792788,679219,-1,-1,810419,-1,262147,-1,369375,-1,808433,-1,-1,820996,831299,31559,-1,888926,486650,377660,-1,550793,-1,711982,-1,-1,234320,294943,700953,830887,-1,808546,-1,336788,-1,-1,772576,141836,568790,42239,234934,-1,349550,-1,-1,452812,-1,-1,-1,4898,788024,997387,-1,895825,-1,424991,-1,-1,-1,682678,-1,-1,390890,-1,143905,-1,-1,-1,691790,926499,-1,953930,457189,4396,-1,835182,-1,-1,-1,-1,-1,269351,-1,-1,353759,227327,33710,489202,827726,-1,348636,623752,500078,-1,794757,834921,532090,-1,-1,-1,387962,-1,509044,-1,-1,436714,758004,900667,-1,844291,-1,670343,882504,-1,111430,67955,732933,-1,826937,-1,-1,-1,-1,-1,-1,112868,590546,-1,-1,3471,317983,-1,-1,668613,-1,314020,879805,-1,-1,741828,911763,-1,-1,361422,-1,908048,-1,-1,-1,520069,419697,-1,-1,-1,-1,-1,-1,-1,641165,-1,804024,794557,68498,-1,-1,-1,496810,630188,-1,-1,-1,936729,858630,-1,-1,660587,143681,-1,819207,966022,-1,389211,714779,758480,643616,-1,-1,608838,501636,20724,475589,-1,-1,989230,-1,-1,-1,-1,-1,-1,170793,-1,-1,785793,-1,-1,716633,-1,377634,494294,-1,586018,-1,96531,670414,878738,177815,-1,-1,413351,152599,-1,139897,-1,-1,-1,-1,-1,68291,-1,-1,832846,80842,-1,267881,-1,-1,693352,-1,-1,-1,-1,-1,77137,-1,-1,490718,94266,-1,-1,-1,-1,292988,-1,682726,-1,-1,938038,-1,-1,-1,-1,407507,-1,703571,587222,-1,-1,601092,292356,144611,685721,-1,84998,-1,999970,802903,-1,576184,-1,-1,464229,-1,729855,-1,385824,-1,-1,252826,-1,-1,-1,-1,-1,382505,-1,-1,229481,-1,-1,513326,-1,43746,-1,-1,-1,166363,-1,-1,356618,448034,928788,420317,-1,579082,719968,-1,-1,89378,-1,415845,-1,191364,-1,786703,72194,-1,516141,-1,-1,-1,-1,494372,-1,141342,-1,847161,-1,-1,46370,346944,-1,671022,440448,-1,637293,33373,-1,29477,916551,355700,6807,-1,-1,-1,940698,-1,-1,-1,-1,-1,-1,-1,966043,-1,-1,-1,-1,-1,969100,935336,278951,-1,-1,-1,-1,210691,964285,691496,-1,319008,-1,163619,317628,368481,-1,-1,928522,720358,638073,350833,4872,-1,-1,353842,-1,780252,-1,-1,-1,-1,880332,-1,603450,-1,-1,-1,-1,-1,-1,262648,37156,-1,-1,-1,381537,135216,-1,443691,308616,30743,714686,-1,-1,445961,-1,-1,-1,244385,511598,516832,831606,445891,315191,823993,456308,745383,865815,-1,761053,77174,861120,598998,250071,206268,-1,-1,-1,-1,-1,462112,-1,-1,526954,-1,818495,746123,528972,-1,131441,-1,-1,603432,-1,26426,790481,-1,-1,410006,-1,492749,-1,583812,-1,303862,-1,-1,139311,288792,-1,-1,-1,17479,-1,768490,442659,-1,365806,878438,-1,81554,-1,391956,208891,760217,-1,-1,45069,54624,519695,-1,315058,-1,811757,-1,385913,-1,-1,514041,-1,294176,397586,399517,-1,-1,-1,-1,324538,338176,780690,-1,759817,87914,-1,-1,-1,374999,503222,-1,517687,219596,187795,46175,-1,-1,-1,446270,-1,-1,220430,-1,994886,-1,18226,793843,110720,966878,-1,194423,432481,518558,829600,259017,196517,787148,448226,-1,288020,231935,-1,738876,252996,-1,741970,423333,-1,-1,141643,-1,-1,994860,407657,-1,998815,260077,-1,-1,370851,-1,-1,618225,314661,956506,-1,433921,-1,-1,122201,-1,-1,871976,-1,46680,-1,-1,352764,382072,-1,664359,442106,312746,-1,680466,55366,-1,-1,-1,-1,38767,492758,-1,-1,-1,311247,-1,-1,675232,70239,244910,780394,341954,355482,440458,-1,-1,-1,-1,-1,-1,483977,713000,868083,-1,984550,942701,668907,-1,-1,-1,834410,-1,-1,-1,-1,30056,699318,-1,225473,-1,-1,23293,542770,-1,-1,260540,867575,-1,-1,957422,-1,838011,-1,-1,904813,-1,614721,270905,-1,-1,683305,414596,750913,926174,63023,337109,-1,-1,561834,-1,464082,282068,-1,-1,-1,44076,112713,-1,53878,-1,-1,-1,586441,880102,-1,-1,-1,-1,865309,-1,626369,-1,245704,823966,731774,-1,636780,-1,489617,94712,592433,-1,-1,-1,-1,598554,-1,-1,-1,-1,564230,747187,-1,282210,384295,-1,860011,-1,-1,-1,916502,193361,-1,-1,-1,11489,691707,-1,684077,254280,-1,945592,848723,-1,22564,-1,-1,-1,38788,150888,202317,17759,-1,-1,608521,-1,590084,881632,128536,-1,57785,82473,-1,844786,-1,-1,893202,-1,598096,-1,-1,158189,-1,-1,271868,147784,766683,739337,627038,114675,661308,-1,115278,483923,659128,405852,-1,-1,823639,692750,-1,-1,788773,139117,908094,621079,373132,-1,150621,-1,-1,330346,226212,-1,594599,-1,-1,487513,-1,26110,-1,-1,-1,105700,76705,-1,-1,-1,-1,-1,675020,-1,-1,560713,581627,457851,198405,731601,806336,517129,-1,663998,-1,943740,344694,350383,109986,460766,250366,-1,-1,-1,101799,39544,-1,-1,-1,920732,-1,-1,503508,305452,-1,-1,61075,-1,-1,-1,-1,656343,-1,112922,91837,38183,-1,-1,-1,-1,-1,-1,427197,103312,49872,-1,399096,-1,53039,587933,-1,-1,577321,141524,845228,71451,-1,-1,92606,891653,20787,349077,-1,-1,-1,-1,89184,859413,920152,-1,-1,909636,-1,-1,-1,744182,-1,-1,-1,-1,174390,309298,883373,267859,28535,-1,961048,-1,745559,-1,790835,219592,747126,546929,-1,790476,-1,857620,-1,679838,555618,-1,-1,718338,-1,31220,998073,-1,-1,704502,151392,313100,-1,-1,-1,36936,-1,802125,-1,-1,326762,-1,194367,-1,947936,543087,229120,-1,563763,-1,458687,347716,-1,-1,-1,258832,203002,907662,-1,764655,452281,-1,-1,371040,857044,984720,-1,175343,441542,383973,-1,-1,116324,297823,-1,395758,-1,243214,454087,-1,-1,310592,-1,572672,-1,694151,151934,-1,-1,-1,-1,-1,-1,498333,783052,-1,-1,-1,990853,-1,681918,-1,-1,194295,975565,496764,-1,-1,819612,9484,109765,685774,-1,-1,-1,421957,-1,-1,-1,-1,980104,-1,419460,579891,258218,986667,739989,-1,-1,-1,531742,-1,-1,444332,-1,-1,40463,-1,-1,-1,-1,825692,863332,942438,633447,-1,-1,-1,688504,70243,-1,-1,614538,132394,943382,-1,577103,-1,720287,-1,931750,-1,716028,-1,8846,-1,-1,-1,915457,-1,970377,606240,964691,581855,-1,727705,210431,-1,-1,859037,-1,-1,-1,-1,-1,230540,77567,738114,-1,-1,597077,-1,-1,649141,-1,706498,-1,450348,661834,93610,601255,-1,-1,457251,568376,992937,786189,-1,-1,-1,-1,-1,-1,869400,764707,552880,-1,504321,-1,-1,-1,261501,-1,988803,-1,-1,-1,159692,215223,256477,-1,-1,-1,998989,752538,-1,-1,853930,250484,759422,874156,697520,512602,-1,95738,-1,-1,-1,857722,-1,-1,940569,625182,52534,650342,750835,-1,571161,999296,-1,69120,-1,-1,384756,-1,-1,-1,459560,463903,415195,421504,-1,-1,803038,-1,982571,-1,-1,-1,344068,418562,-1,-1,73897,988761,-1,602252,225059,120527,-1,-1,-1,781582,817305,-1,-1,693274,258281,-1,358443,-1,-1,534132,885223,-1,-1,69363,-1,-1,-1,-1,390485,-1,-1,-1,-1,-1,-1,-1,-1,777657,798869,-1,845040,-1,353242,883780,736331,-1,-1,215828,980787,430839,647156,-1,432967,-1,298939,-1,288086,-1,-1,-1,147759,877125,578696,-1,-1,641433,99712,536203,330523,441203,52628,-1,-1,714720,905261,-1,-1,-1,-1,-1,-1,15175,553942,-1,79307,846750,875948,956403,395853,156036,-1,611841,-1,637137,981961,-1,87012,-1,-1,-1,940512,604961,446137,-1,-1,-1,93766,990192,-1,549407,57588,-1,-1,-1,974811,-1,210822,485239,762593,158279,897124,-1,-1,-1,181775,-1,-1,33037,-1,391099,880106,732493,-1,265510,192813,639109,39067,-1,-1,119001,-1,-1,60388,130990,-1,-1,-1,-1,394788,273805,-1,840054,-1,-1,148838,997666,-1,-1,23863,436729,315340,600200,-1,612074,-1,790813,490625,246088,40419,474293,914673,-1,-1,968016,-1,-1,-1,-1,467500,-1,230603,756906,-1,345729,-1,-1,835785,934195,-1,-1,-1,635304,706688,405105,452495,214898,320740,-1,731092,150646,312258,-1,383062,267079,-1,-1,-1,-1,-1,-1,-1,-1,500670,857263,-1,-1,-1,-1,311250,-1,-1,65484,914802,869624,-1,-1,-1,849052,-1,-1,763893,729508,392513,-1,510343,-1,-1,-1,-1,94754,-1,651550,212353,-1,154310,875775,930339,218500,-1,345916,925424,-1,123891,-1,-1,-1,-1,943844,980218,955616,-1,155586,-1,-1,616444,-1,-1,561028,87494,574920,570422,-1,84673,-1,-1,350655,-1,577932,249481,938770,-1,55486,221321,-1,30510,887144,80904,690758,-1,711492,71932,-1,73995,636371,-1,-1,-1,745557,729181,658011,-1,-1,-1,-1,100007,664555,779127,-1,-1,-1,-1,948720,-1,-1,678854,-1,217143,-1,-1,-1,-1,-1,-1,100791,110465,-1,-1,-1,-1,560650,395616,-1,698666,-1,969499,828528,682727,-1,-1,-1,776702,843856,-1,-1,-1,708781,539345,60484,131060,-1,727620,596161,805291,-1,-1,587028,575797,-1,552191,-1,-1,-1,998157,736420,-1,-1,909076,433579,183053,-1,-1,822091,114814,766722,-1,-1,-1,186157,827463,-1,75895,-1,463576,-1,-1,-1,918865,-1,451455,847990,21464,-1,-1,-1,-1,-1,223546,295301,633888,944863,-1,-1,-1,-1,537761,348665,334397,-1,174973,-1,403615,-1,89395,-1,353131,715975,-1,-1,889111,-1,-1,662338,-1,-1,142933,210631,-1,877338,383179,-1,57747,716237,-1,-1,-1,-1,910826,703282,-1,440015,474601,-1,766779,-1,135482,128771,107347,708097,259925,-1,-1,-1,407351,-1,-1,-1,653249,614707,358737,-1,-1,-1,936097,-1,497262,-1,-1,-1,763443,480522,-1,484706,-1,628813,-1,-1,-1,411508,-1,65761,980306,744993,958259,-1,-1,-1,805350,95477,-1,-1,-1,-1,-1,424031,999217,842855,-1,-1,-1,469750,-1,177430,614363,-1,-1,44979,627199,-1,285750,381929,558800,-1,-1,793294,-1,550875,-1,-1,-1,-1,244315,267919,365105,-1,962133,413665,844224,904337,-1,-1,765333,-1,77442,191861,692940,779879,356801,-1,-1,-1,736158,-1,-1,-1,-1,-1,727010,-1,-1,485738,-1,-1,-1,403975,678419,-1,328261,-1,-1,76265,-1,-1,907680,614995,-1,-1,-1,-1,957479,-1,-1,-1,687890,868167,-1,274096,-1,313865,714628,130803,-1,735259,323373,-1,84122,-1,-1,-1,-1,597334,773677,50647,866922,467160,592943,-1,-1,-1,-1,-1,-1,-1,-1,-1,912958,762791,-1,599172,-1,798208,-1,466688,-1,70411,504997,999485,469387,951836,-1,226329,111454,727991,473241,747823,-1,675187,-1,246885,386353,159688,420343,-1,-1,-1,-1,-1,181214,515777,-1,-1,-1,-1,-1,-1,73557,-1,-1,-1,-1,620268,-1,-1,-1,-1,865907,567806,-1,-1,775391,-1,582045,-1,-1,401202,634153,-1,-1,-1,128526,-1,-1,842085,887416,-1,282962,-1,-1,-1,-1,867382,-1,-1,639763,198970,425577,-1,718334,347873,-1,185783,-1,-1,-1,716354,823495,-1,-1,-1,991616,63011,182565,599658,-1,-1,-1,383107,-1,-1,-1,-1,11443,908950,276682,760559,839069,152585,969943,-1,-1,859555,-1,-1,950414,567376,33044,-1,666120,-1,-1,828589,-1,918746,491163,-1,-1,-1,-1,428296,727115,-1,-1,605711,-1,-1,372975,-1,491045,-1,-1,-1,-1,-1,-1,-1,-1,344350,443049,-1,-1,-1,465683,-1,326159,-1,-1,180650,797611,-1,848793,-1,556088,874013,-1,309448,395031,-1,256878,52167,1556,-1,727103,531662,702912,-1,-1,583973,736176,887764,402427,-1,-1,7316,35693,671242,486197,537701,698099,743068,161846,-1,-1,-1,921142,-1,976035,410515,256227,-1,-1,-1,378364,-1,-1,-1,557113,-1,486954,327751,73158,-1,323065,516985,-1,433748,229189,482172,-1,399141,79374,-1,-1,-1,-1,-1,103262,631029,-1,403359,-1,667146,-1,185548,87859,969888,441592,1377,-1,140429,-1,-1,-1,-1,-1,784902,-1,-1,332223,952296,-1,891894,204461,658838,381202,159342,312245,171400,-1,-1,-1,999098,587926,-1,343928,-1,277088,754105,-1,84414,648930,728669,706484,176912,253195,561655,-1,182227,-1,-1,-1,402421,626818,-1,892354,331212,-1,186724,748696,-1,223226,111157,-1,-1,811165,273653,-1,655432,709605,866069,-1,155605,462148,-1,176106,439343,-1,563464,571244,447492,544935,-1,775279,-1,-1,23772,250917,631547,-1,-1,520853,-1,133997,920607,813618,-1,494805,107049,-1,-1,828059,-1,-1,769475,503105,63316,-1,-1,982690,683679,449092,120859,529049,-1,-1,244424,105482,-1,914603,-1,-1,-1,-1,-1,-1,-1,-1,-1,842841,446509,826078,-1,702374,448970,365407,-1,-1,-1,965286,240949,487413,617726,-1,355827,162062,878347,241285,-1,328827,-1,-1,-1,861461,950469,927741,635842,-1,893619,212804,915377,733363,277976,346987,710509,11501,-1,-1,64321,207703,-1,-1,-1,-1,-1,-1,852757,-1,375622,920242,-1,217586,281596,-1,-1,370649,490529,858702,-1,577313,-1,122931,-1,-1,-1,-1,-1,296270,-1,198896,-1,-1,878067,-1,-1,-1,-1,-1,848936,-1,500900,267510,-1,-1,794115,-1,-1,-1,458359,736396,718280,859511,-1,693416,-1,908442,-1,-1,-1,938790,-1,-1,47488,-1,-1,913014,298142,644655,-1,-1,315341,914001,-1,-1,-1,712919,-1,-1,24886,-1,233232,-1,99191,511520,-1,799331,-1,73294,-1,-1,-1,225623,44320,-1,-1,368083,-1,-1,721878,743134,469986,760175,969186,549121,31462,436560,-1,-1,-1,-1,881859,660406,-1,-1,-1,-1,651664,-1,-1,176258,863722,188173,651401,442621,-1,665850,-1,-1,-1,114968,-1,-1,-1,343585,683951,-1,-1,-1,595825,123255,333973,-1,-1,5068,-1,684333,-1,909099,-1,797295,-1,293925,-1,-1,-1,460278,-1,708343,-1,791249,230690,690255,758365,571565,-1,-1,576970,25438,-1,-1,982434,588354,625295,-1,-1,560111,29439,-1,-1,-1,200309,336193,-1,642556,-1,635693,596773,454118,-1,-1,-1,507772,-1,684937,632598,284480,-1,22660,-1,685660,-1,881800,-1,-1,663254,296062,-1,-1,-1,-1,-1,-1,706503,-1,989688,-1,-1,-1,-1,-1,-1,-1,-1,181546,254,600729,-1,885162,345034,625901,643639,-1,235845,-1,414529,367385,727325,399010,472302,-1,-1,-1,-1,-1,145315,-1,706060,674817,-1,169645,158514,882153,-1,-1,508338,449860,998062,886439,-1,103211,-1,-1,-1,481259,-1,958112,-1,-1,420770,-1,93242,549061,448654,909141,255743,722378,-1,977926,785812,393708,281280,-1,437289,562345,347072,-1,583467,734366,782044,-1,-1,514611,-1,943170,-1,683534,567067,-1,219005,-1,-1,496651,649097,540525,279545,-1,593171,-1,753746,-1,-1,68779,579017,412925,886401,-1,427288,-1,-1,-1,-1,202883,-1,580735,199840,386275,-1,876070,361528,-1,-1,-1,568799,-1,930194,-1,712421,175552,-1,252126,82487,-1,735367,-1,519317,188900,-1,-1,-1,-1,-1,350726,90959,-1,71169,254407,205622,-1,33168,740880,-1,-1,229173,-1,-1,332326,186682,193836,-1,-1,521299,-1,9107,787360,-1,466020,512083,606260,994026,-1,-1,657734,119745,800767,-1,806154,401267,-1,484171,584169,-1,280363,-1,688896,-1,-1,568454,615288,-1,780228,642815,-1,-1,944094,-1,234303,-1,-1,567047,-1,649056,-1,309842,594808,-1,60075,-1,-1,459625,-1,-1,-1,-1,68824,-1,599915,-1,-1,-1,39482,24287,316556,338459,-1,276036,-1,514991,-1,-1,542404,-1,-1,-1,32206,31877,-1,-1,-1,-1,970867,848841,26330,-1,-1,230369,-1,-1,910662,-1,222286,917062,-1,-1,-1,473982,-1,957625,-1,964461,-1,-1,786121,-1,378640,-1,-1,-1,744250,322078,656301,-1,720082,473051,-1,-1,-1,869424,-1,-1,634459,572381,-1,614867,537926,954880,681757,843806,920507,-1,447612,41938,-1,551279,195129,-1,36153,-1,822358,-1,240746,-1,-1,-1,-1,788604,-1,874131,75950,-1,793264,195158,-1,-1,-1,-1,423195,77746,774105,-1,686239,288955,294540,-1,362003,650902,-1,-1,744225,-1,-1,-1,-1,283683,-1,372766,-1,-1,644081,232702,180959,-1,-1,42213,-1,-1,-1,-1,237679,-1,102029,569292,-1,247293,-1,107695,-1,-1,966073,631513,-1,42600,785689,-1,605960,330825,689825,583332,-1,-1,-1,-1,-1,656075,380278,-1,-1,43168,704742,472890,832174,895897,156840,-1,-1,183852,816389,737372,-1,240553,-1,234242,986221,-1,320537,144170,127721,-1,-1,-1,-1,-1,644424,-1,750505,146086,-1,259120,654955,967539,-1,-1,-1,-1,-1,-1,-1,-1,249385,-1,133778,-1,-1,343924,949715,144213,-1,894156,664828,818325,-1,-1,596596,392548,47812,-1,981581,-1,-1,263822,-1,-1,200198,-1,232013,202024,331043,989202,-1,-1,-1,708742,-1,570618,695916,-1,-1,266706,305922,927397,564159,-1,469262,719346,-1,-1,632229,-1,-1,11960,-1,453998,924987,-1,43938,-1,-1,-1,162250,494619,846465,-1,996604,-1,569778,960642,21822,964353,328105,-1,753821,-1,515808,-1,-1,947801,-1,-1,610328,144602,776417,-1,-1,-1,817147,-1,-1,840692,714163,371757,217930,835536,868710,-1,781486,-1,-1,409917,-1,-1,268508,601260,894673,-1,-1,264686,-1,-1,470750,-1,-1,-1,-1,519127,-1,-1,-1,-1,-1,-1,636395,771071,-1,911876,534600,691480,-1,45672,476125,-1,-1,918686,-1,591337,882549,-1,729399,623067,864546,971235,-1,151971,-1,-1,632926,975757,-1,-1,576961,-1,-1,270633,454751,92610,-1,-1,906389,-1,644512,512715,-1,-1,102717,967647,895533,662461,-1,-1,533352,16016,505500,606046,154928,295109,-1,-1,-1,973771,74791,-1,-1,805262,-1,-1,-1,418841,313015,-1,434766,-1,-1,-1,-1,-1,596678,900455,619990,-1,233490,285871,-1,-1,770814,-1,738258,-1,518113,760434,-1,-1,-1,-1,547179,479283,933194,-1,713280,269932,-1,-1,384008,785647,905647,-1,-1,-1,573184,-1,761761,-1,108523,359855,759146,-1,-1,-1,-1,-1,-1,584275,349344,-1,-1,891646,-1,230130,-1,-1,-1,-1,178162,-1,-1,-1,-1,-1,632247,108594,-1,-1,49520,-1,238007,651805,-1,499685,-1,-1,397723,697463,-1,348212,-1,568058,888473,-1,810564,907199,593567,109230,-1,-1,-1,-1,-1,834387,-1,-1,731223,473625,207162,258631,-1,911958,233881,775829,798914,-1,-1,-1,-1,-1,-1,253708,402074,422436,-1,368764,808429,728702,-1,-1,541121,-1,806225,318719,594622,-1,-1,-1,-1,867426,447074,262240,-1,-1,69657,-1,-1,-1,-1,-1,-1,570039,440652,-1,-1,-1,-1,353660,-1,-1,-1,559601,740214,420538,831432,619439,-1,-1,53512,148340,646450,37852,55925,-1,430960,820787,220806,-1,582191,-1,-1,222579,155027,-1,-1,450250,-1,-1,788354,314439,-1,52673,-1,-1,-1,927656,-1,-1,178469,362594,-1,-1,662879,942270,147894,837725,-1,-1,-1,-1,-1,980501,350759,61453,703847,822144,793992,-1,-1,-1,-1,857653,-1,699065,549304,303984,-1,-1,274682,-1,90494,563257,-1,964229,-1,-1,701720,318364,-1,853038,-1,170496,-1,-1,-1,-1,-1,-1,407442,-1,864803,-1,199244,888755,921346,-1,930207,450821,377236,753112,932125,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,710142,-1,555664,-1,-1,-1,-1,94687,-1,-1,-1,-1,700089,234232,-1,372253,-1,-1,72906,702890,-1,534354,-1,456150,121990,-1,-1,767220,311401,320424,-1,562919,-1,500335,-1,133591,816237,366083,42175,-1,537705,627045,114827,126070,974206,884881,536073,80863,-1,96545,-1,822761,150890,-1,-1,181916,699357,882581,-1,-1,-1,556392,-1,537953,876313,175101,-1,301030,874562,-1,-1,164686,-1,156091,707031,615110,-1,-1,-1,90482,122466,-1,-1,-1,196669,-1,577192,-1,-1,-1,573768,989972,282527,442981,404614,-1,140881,292049,-1,-1,768491,117518,-1,-1,652986,-1,969804,651030,926478,396189,-1,374621,488245,-1,677658,-1,-1,140015,-1,566357,-1,-1,-1,-1,341167,-1,-1,916182,250945,939942,30011,207514,-1,-1,-1,-1,821462,510550,-1,144075,-1,-1,669484,590739,-1,805362,-1,294549,-1,-1,979571,806962,40345,492276,308918,-1,-1,378728,-1,133013,140115,107462,-1,-1,714842,-1,-1,-1,752411,648473,203963,459779,-1,-1,76501,556869,347854,-1,613654,-1,578977,-1,-1,298871,141918,-1,-1,-1,-1,-1,533953,138488,-1,-1,-1,-1,639836,661918,540779,-1,667580,-1,-1,716511,521694,-1,-1,335346,41798,-1,-1,-1,384632,474359,-1,-1,938680,345183,707506,601557,838124,-1,-1,-1,869837,-1,-1,701973,-1,420794,83935,105654,176753,-1,111573,-1,-1,320628,453595,20959,-1,-1,-1,-1,702617,-1,349971,-1,21302,-1,455002,-1,24150,212062,-1,-1,-1,-1,-1,204645,-1,-1,2513,903448,-1,119965,-1,875781,588846,-1,-1,665032,-1,257639,-1,825114,-1,554785,-1,125182,342392,-1,904467,953752,29156,-1,701191,535128,-1,-1,374986,627350,-1,525771,-1,842175,364517,-1,-1,644530,-1,-1,299212,936282,462597,536159,247233,788555,745373,-1,-1,916321,4826,324732,-1,395905,247565,466915,850721,102751,333015,339651,-1,-1,-1,280564,820694,513687,941860,-1,-1,253303,432845,739783,718396,-1,723947,-1,-1,-1,-1,-1,-1,-1,-1,-1,37551,728590,156983,-1,-1,-1,741458,-1,-1,872293,94418,414377,-1,-1,-1,461332,838364,327232,718027,-1,227860,335866,-1,26418,-1,-1,629014,-1,435806,-1,633824,-1,-1,-1,452907,667923,-1,-1,-1,-1,708043,-1,632770,-1,780685,-1,-1,-1,-1,-1,702572,826120,-1,548207,-1,-1,-1,-1,-1,-1,-1,941857,-1,-1,185169,834416,-1,-1,-1,499380,-1,585198,192226,161040,-1,356464,870456,-1,-1,582134,4016,374747,581922,812141,819529,-1,582773,-1,-1,999161,-1,782128,-1,534846,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,6391,-1,862512,756066,369656,520423,-1,-1,-1,132039,-1,940621,423001,432647,-1,767395,-1,-1,-1,-1,30894,-1,-1,332423,595023,279170,-1,-1,-1,396239,-1,927948,-1,-1,-1,-1,-1,322001,764327,773989,20226,-1,180217,-1,-1,61428,-1,-1,-1,-1,286397,-1,-1,748639,248340,777371,585405,-1,-1,980792,173447,-1,302421,-1,-1,-1,16189,732651,-1,-1,-1,267072,557312,75800,-1,-1,-1,347748,-1,-1,-1,-1,-1,-1,185925,-1,664533,724198,756087,271155,-1,726353,-1,-1,-1,350365,-1,-1,-1,-1,617980,602816,171438,-1,541274,449210,-1,649580,-1,242924,147986,-1,-1,97889,-1,234255,-1,-1,309305,601976,798091,478352,-1,289893,179213,-1,837075,-1,-1,-1,-1,-1,448171,175149,-1,386147,611100,829684,46129,943091,-1,867348,999281,-1,-1,-1,-1,-1,-1,-1,626394,-1,574318,-1,974099,54529,-1,-1,-1,573358,-1,-1,773198,-1,-1,-1,-1,-1,790956,185831,259407,-1,-1,483851,-1,-1,-1,-1,499255,-1,537785,-1,-1,240421,-1,481863,-1,-1,-1,837707,-1,-1,887495,-1,-1,-1,-1,417658,445095,942595,-1,-1,645849,994580,-1,-1,-1,-1,650368,788481,-1,-1,6478,70643,-1,-1,-1,668716,445795,824995,203031,-1,-1,76735,94481,-1,32709,-1,-1,651134,-1,234612,867170,625725,-1,-1,-1,-1,-1,-1,-1,-1,-1,983524,842113,518695,-1,977097,-1,-1,450559,916629,721297,-1,-1,788059,-1,-1,-1,309824,-1,-1,-1,238835,-1,-1,-1,938057,873750,-1,-1,606613,160204,395011,497535,-1,299248,-1,208923,568196,807034,313717,-1,31899,605297,662091,604814,-1,694824,-1,898400,186624,-1,52572,-1,-1,58809,-1,-1,-1,53035,-1,-1,-1,27334,-1,915838,406140,891287,785763,50602,-1,-1,-1,289223,679001,-1,174174,-1,-1,175672,-1,113212,883258,926112,588610,620071,-1,102262,908149,505124,-1,-1,22592,-1,219851,-1,19534,-1,6100,-1,-1,559714,985195,276877,644139,722760,-1,481124,-1,200200,-1,-1,-1,-1,-1,318641,974496,-1,-1,237828,671697,-1,-1,182017,11499,611617,901039,-1,-1,148306,660889,298111,697875,895924,923964,-1,-1,83801,187312,861552,-1,373259,-1,-1,421968,-1,181450,105279,486175,-1,61620,382273,359980,133717,-1,77305,605474,804318,-1,-1,-1,650611,-1,-1,-1,549609,205730,807770,-1,715054,-1,-1,789235,162312,-1,57661,-1,847606,533653,-1,-1,887971,380895,-1,919319,742635,132992,189089,-1,626064,-1,266298,462587,18619,932213,479078,269838,-1,-1,-1,-1,327054,532540,-1,708535,424326,99922,-1,-1,924289,-1,-1,76434,446575,-1,-1,774706,708886,594283,983650,21778,-1,-1,21112,-1,-1,-1,518353,647693,764009,-1,462411,-1,720982,-1,-1,-1,928476,-1,39738,-1,564318,-1,864996,36236,214545,333983,-1,374328,561700,-1,562052,746483,454600,-1,194266,-1,-1,-1,882800,902502,-1,101503,-1,-1,131687,-1,-1,-1,-1,-1,-1,147876,-1,-1,697689,998066,-1,-1,-1,959290,-1,95069,-1,-1,-1,184592,-1,9859,-1,-1,-1,915978,385005,-1,-1,-1,586744,392123,889343,28464,170951,392318,191628,-1,182133,-1,-1,-1,948401,-1,354618,-1,178170,55126,-1,-1,-1,-1,837539,-1,-1,-1,-1,891240,-1,130359,223637,-1,-1,-1,-1,-1,-1,506744,791026,344290,605073,-1,444600,-1,434013,664159,-1,885090,-1,-1,-1,402861,-1,-1,-1,314648,-1,-1,-1,386565,464739,362989,229334,-1,-1,607952,-1,-1,-1,-1,-1,-1,-1,8096,387585,200868,-1,-1,648653,65252,848432,-1,-1,-1,-1,207414,169176,-1,-1,823598,444989,199407,648479,554264,-1,-1,-1,610426,679504,-1,-1,716883,79823,303026,-1,-1,313075,233048,-1,-1,-1,-1,-1,745023,-1,260893,245314,303187,-1,-1,-1,153836,723899,-1,-1,199253,11809,-1,716925,-1,-1,974918,482621,-1,288066,232687,-1,-1,778463,85784,-1,678343,-1,586794,158499,-1,533477,215636,-1,-1,-1,944072,827743,92264,-1,-1,786307,902482,62160,-1,806077,-1,95554,682013,-1,822612,402437,-1,273648,-1,-1,532549,-1,516838,494228,167006,506701,-1,876711,-1,206024,665979,-1,674299,-1,462604,-1,367932,153147,358152,170209,614805,-1,-1,-1,968908,-1,-1,441392,-1,-1,496233,-1,-1,-1,613554,-1,-1,-1,227907,-1,-1,252303,49466,461945,-1,583734,399102,549049,-1,102960,-1,914712,-1,-1,-1,-1,253876,780958,989355,456687,-1,-1,-1,-1,-1,-1,345908,-1,-1,803324,122504,-1,567647,-1,-1,489568,-1,328552,282368,-1,-1,606354,-1,465218,-1,623431,288732,-1,230030,120819,615684,-1,-1,921976,670024,-1,-1,518170,971405,-1,689970,797553,985432,722499,-1,-1,875290,148525,-1,-1,674377,118853,-1,-1,963991,-1,698254,-1,-1,441274,466381,-1,252834,383937,-1,90491,-1,-1,-1,653248,-1,743345,591347,-1,98418,529354,-1,-1,-1,413713,-1,-1,-1,318723,763444,-1,-1,416939,-1,249686,781784,973694,-1,702508,308002,576385,-1,654811,713521,314569,766612,597785,899363,-1,-1,-1,169110,-1,263417,170013,42809,-1,-1,874355,97171,244490,337612,81862,522688,-1,-1,550423,839503,-1,-1,-1,900994,-1,-1,57196,-1,-1,-1,616989,-1,-1,-1,754128,989675,-1,486048,-1,-1,629636,279846,-1,-1,-1,-1,24184,-1,-1,-1,516924,-1,-1,554717,-1,-1,803886,389294,-1,808714,53522,304629,-1,74170,-1,458142,609343,-1,150741,714931,255047,-1,457567,-1,427864,312260,-1,-1,364583,-1,715588,-1,-1,503669,723053,-1,270053,-1,135377,961434,982109,845109,634954,790352,695080,-1,-1,845894,40964,-1,-1,414497,-1,-1,419406,-1,-1,-1,997590,548341,-1,-1,857068,-1,317695,30928,962767,388528,-1,848779,-1,597181,-1,-1,-1,342390,825749,701,-1,-1,-1,-1,-1,999159,-1,220423,-1,40586,733810,-1,312246,-1,945521,682819,-1,28012,-1,-1,-1,793537,-1,973478,724434,-1,487309,-1,574635,-1,-1,537791,347575,-1,-1,927080,-1,24317,-1,-1,783631,42983,7499,-1,763208,-1,935063,-1,730172,-1,135626,-1,48922,148801,-1,388157,701043,-1,9824,216834,-1,-1,-1,-1,5374,-1,-1,-1,-1,413429,756720,-1,612604,-1,732479,-1,841187,136834,-1,-1,-1,-1,21157,-1,855117,-1,-1,834487,-1,-1,93064,367772,749108,-1,221460,418247,-1,-1,-1,237904,-1,998243,402707,-1,-1,537822,253498,-1,77656,578415,327359,409012,-1,-1,612454,918665,-1,-1,214864,979516,889805,119483,-1,-1,-1,486217,-1,616988,-1,608844,446780,-1,357683,-1,-1,-1,125298,868549,580305,386722,553832,-1,959781,-1,944165,378432,30063,34968,528227,-1,-1,675448,-1,-1,-1,960543,958002,-1,-1,-1,-1,93073,-1,-1,942864,-1,121092,134548,579136,-1,697303,971533,-1,-1,49530,236473,217663,543583,860639,906855,149000,635583,-1,23428,-1,192722,-1,37923,-1,-1,-1,-1,-1,117135,109411,-1,756526,382592,-1,-1,828799,129423,86215,-1,145726,-1,511628,-1,-1,648517,714970,775963,-1,904889,933056,99666,-1,123399,-1,-1,-1,-1,78751,379377,54451,-1,-1,-1,-1,352587,-1,-1,-1,635543,-1,59657,427621,310390,-1,968243,-1,-1,850233,-1,982358,-1,554871,352700,284111,795290,-1,-1,129027,274428,-1,-1,429977,100554,-1,-1,-1,-1,-1,791138,-1,485385,619338,495106,-1,429779,-1,386649,378735,722594,-1,-1,515774,995860,768622,-1,-1,-1,750991,-1,505446,749765,-1,307406,-1,-1,-1,-1,545481,908465,-1,440755,799099,420547,-1,-1,336215,60582,98321,2565,511566,-1,138677,524655,-1,473282,364627,405413,-1,174588,-1,895826,613372,264888,-1,359571,431034,443087,-1,904282,481037,319229,-1,-1,-1,-1,667247,155533,-1,-1,604820,751061,-1,-1,-1,666623,-1,363074,-1,-1,867313,-1,748972,-1,-1,-1,-1,692002,-1,100502,-1,789379,473077,-1,-1,245744,947259,381148,325857,841447,582370,-1,-1,151048,375952,40922,-1,444225,914318,467999,103183,4597,103819,-1,164693,-1,-1,787932,-1,679930,208804,-1,496721,-1,-1,-1,-1,-1,363214,-1,604958,30562,896621,699799,313916,-1,-1,-1,-1,286725,-1,-1,445878,-1,708064,798215,-1,776992,332789,-1,373237,-1,737467,347622,353202,190924,338197,986454,256970,-1,609699,-1,677990,-1,528286,-1,116686,-1,851637,-1,-1,166847,726123,131622,494696,-1,706333,448166,182626,27127,-1,709228,449952,384000,-1,-1,346140,-1,233292,-1,-1,-1,933337,-1,654987,-1,632697,640674,470199,718651,724490,993587,175639,737582,-1,727441,-1,-1,551752,-1,366311,899720,-1,-1,455106,165671,-1,740156,492243,-1,888789,-1,-1,-1,-1,761122,57509,722795,519463,283988,-1,618734,255595,-1,184513,513651,271726,221309,-1,-1,799889,379630,962195,-1,473967,481015,-1,296704,886882,-1,840811,-1,-1,24256,44981,-1,-1,509527,-1,462746,871646,-1,464251,-1,58680,-1,291302,444797,-1,231533,827536,-1,-1,400847,-1,-1,287617,81473,419419,-1,-1,80548,930636,-1,588556,-1,642129,579301,88978,87431,-1,-1,766577,548396,451271,194912,-1,813837,379204,-1,523489,-1,561292,727637,-1,-1,962438,-1,726337,404172,-1,293041,-1,-1,374691,-1,-1,-1,719240,341896,60835,-1,-1,217528,635126,932310,-1,-1,-1,-1,-1,764065,-1,910130,-1,392086,394508,-1,-1,-1,-1,639263,137859,-1,-1,380065,352253,-1,396772,727418,935890,-1,-1,-1,919293,380778,481991,-1,-1,247065,552114,-1,-1,-1,717618,-1,-1,-1,-1,-1,847027,-1,-1,900067,420539,745936,340127,-1,-1,-1,-1,327787,107838,-1,-1,-1,-1,681754,823920,427531,626194,242340,-1,487606,-1,-1,-1,545903,-1,448705,-1,-1,950432,-1,129406,646208,738508,759639,49240,808845,-1,303594,398818,935283,67560,-1,-1,-1,-1,276482,807339,862683,462318,-1,-1,-1,908790,449316,589373,103391,997792,-1,-1,464747,-1,545811,965064,-1,347500,-1,-1,363571,903645,446853,-1,-1,30639,889524,-1,735952,272458,-1,598999,507858,-1,-1,209226,-1,255871,112870,-1,699546,-1,-1,886488,-1,-1,-1,-1,-1,-1,375156,-1,544443,813086,94546,-1,189378,-1,-1,-1,-1,-1,748286,-1,-1,-1,442163,-1,-1,-1,-1,-1,346508,206359,153566,501683,593780,606891,715286,-1,8961,-1,-1,-1,-1,104894,-1,927266,-1,-1,360132,-1,491653,-1,-1,438272,239945,-1,-1,977270,-1,-1,727421,-1,-1,686959,269067,331815,-1,907316,7939,-1,-1,-1,538205,-1,208471,-1,216311,534241,-1,-1,-1,691704,-1,532293,-1,-1,686695,543289,266287,375177,-1,634021,527863,467583,53041,-1,-1,-1,423977,-1,-1,-1,-1,9832,417598,-1,232284,899946,937586,-1,288017,486855,-1,819146,219058,414281,-1,-1,786472,-1,-1,38200,602431,-1,-1,-1,-1,121610,-1,229871,857332,-1,-1,-1,649802,-1,-1,-1,-1,-1,-1,-1,266132,-1,-1,277619,-1,-1,-1,3026,-1,-1,349739,-1,-1,551772,909373,32980,663188,-1,-1,-1,308315,-1,-1,322506,325199,-1,536496,153141,539527,-1,874056,-1,272785,422799,-1,724862,-1,10820,-1,608459,-1,-1,51610,700374,-1,-1,-1,-1,-1,-1,-1,-1,-1,456039,-1,502086,713035,226351,198863,365515,-1,645366,-1,532960,287922,-1,376393,-1,957755,-1,109605,-1,-1,-1,433324,-1,-1,178081,-1,652413,399335,-1,-1,-1,250208,-1,-1,-1,487146,-1,-1,295239,775939,-1,-1,-1,160900,962489,-1,257484,-1,82796,-1,433811,695898,-1,697509,350003,-1,438054,-1,-1,-1,-1,-1,166115,-1,490680,-1,271290,612565,-1,-1,-1,767813,-1,-1,949621,349657,965470,411646,644637,-1,-1,-1,-1,-1,-1,-1,58608,225486,499308,164344,-1,-1,-1,637464,-1,516453,593538,-1,951086,536473,-1,106089,-1,600966,383462,951955,726161,668894,-1,-1,926517,89983,-1,-1,-1,-1,328667,380284,-1,-1,-1,-1,647548,-1,-1,-1,-1,-1,-1,652923,421532,547588,-1,796005,-1,-1,307740,107576,-1,-1,262171,964339,-1,490925,354070,-1,84271,232229,-1,-1,-1,455036,93888,431429,-1,341792,754290,-1,854869,-1,-1,-1,845187,811673,-1,-1,-1,-1,891080,760720,542866,-1,-1,557897,-1,-1,128401,479894,411310,-1,-1,537647,236408,-1,-1,904642,-1,-1,-1,318770,-1,-1,-1,-1,-1,-1,-1,-1,78007,285573,59598,-1,91840,-1,-1,994511,-1,-1,-1,477219,-1,-1,-1,-1,923688,347457,614525,-1,-1,-1,-1,-1,-1,836331,-1,986330,288283,256955,-1,73640,-1,890224,-1,-1,475378,-1,140506,-1,125270,531112,689681,166756,170665,-1,601340,229487,-1,-1,-1,-1,-1,-1,-1,541374,600454,-1,-1,537872,-1,28149,-1,805218,-1,896840,-1,-1,487015,976645,580297,103060,101115,-1,122217,-1,-1,-1,485244,-1,497691,-1,-1,-1,-1,360184,-1,-1,439862,-1,543801,580043,312599,647592,-1,-1,768045,-1,-1,-1,-1,391211,450086,-1,331648,-1,-1,493056,410355,376961,330624,-1,-1,-1,-1,126222,-1,-1,567661,-1,237753,510839,-1,91174,488056,941636,-1,-1,952059,-1,811788,-1,-1,215069,-1,-1,281420,-1,-1,704142,513885,992668,-1,-1,425492,930121,708906,955979,624392,934065,592919,-1,783162,-1,693061,-1,-1,-1,-1,-1,467862,41084,328885,898681,335575,-1,-1,-1,548534,-1,759022,-1,702725,671039,-1,-1,-1,764456,-1,527538,603377,908134,-1,974805,-1,883570,237965,-1,555801,-1,654214,-1,579429,-1,518223,-1,-1,-1,-1,124357,-1,-1,616952,396002,-1,-1,-1,525731,854881,598044,-1,-1,883901,-1,873930,161458,-1,355245,154350,-1,-1,986766,706959,-1,246665,-1,-1,560261,-1,-1,424710,910049,208063,869974,-1,-1,-1,-1,147645,-1,-1,861897,-1,-1,-1,-1,856671,723294,-1,-1,463458,-1,-1,-1,-1,657996,-1,-1,-1,-1,467465,-1,29440,-1,-1,-1,92764,-1,-1,469045,-1,-1,-1,-1,623164,-1,252440,-1,802306,321882,512532,-1,408321,-1,-1,259679,937138,418031,-1,-1,-1,-1,641853,940204,577888,251973,627636,485827,328653,790471,-1,-1,-1,-1,-1,-1,30885,386847,147009,230587,969610,-1,-1,-1,-1,75231,-1,-1,-1,959605,-1,951887,442845,-1,52323,-1,-1,-1,-1,-1,-1,334272,258487,709645,721695,574276,-1,959063,-1,984198,-1,711963,911898,835089,-1,284016,-1,406739,340457,-1,253183,-1,339658,-1,-1,151761,-1,-1,378331,-1,449791,-1,770182,-1,-1,951922,-1,-1,426008,482526,748938,-1,425855,953992,-1,80228,862439,553324,-1,599769,-1,401683,-1,-1,450627,550363,170660,888944,24887,891758,170165,501025,-1,-1,839383,277221,854717,474113,-1,138248,-1,450102,-1,-1,-1,-1,-1,-1,-1,361091,449526,966510,-1,-1,960268,-1,840604,455350,-1,468787,-1,-1,231547,574866,-1,786939,219423,-1,179643,-1,-1,219091,-1,136700,-1,499619,513096,419019,521385,705470,-1,547457,-1,706183,-1,-1,547549,-1,123397,812773,895199,-1,24757,-1,-1,-1,860635,-1,-1,-1,330985,-1,140808,681792,-1,221668,-1,-1,-1,284401,102059,-1,548552,-1,-1,375758,-1,275480,237720,583073,266389,-1,-1,-1,-1,-1,-1,-1,753880,256861,-1,518296,-1,227088,-1,-1,-1,-1,687936,-1,-1,337082,-1,697193,16452,-1,218407,-1,-1,-1,-1,-1,266184,-1,-1,-1,557477,-1,840660,-1,271008,-1,854783,625588,698176,-1,-1,-1,-1,617076,216453,-1,-1,468519,200059,643266,614137,-1,-1,46754,-1,-1,177215,404499,-1,706834,-1,-1,-1,-1,324953,-1,121010,-1,510371,-1,687738,95744,-1,485062,99027,591150,224021,-1,-1,245287,-1,-1,919443,-1,859916,779718,-1,892468,91140,310458,-1,-1,-1,-1,864736,-1,197814,652638,807658,-1,509872,-1,-1,-1,500941,603788,-1,-1,-1,20678,-1,-1,-1,-1,384830,-1,275535,-1,-1,874753,-1,237745,852317,-1,90517,-1,-1,974997,948721,-1,694245,-1,-1,192137,-1,-1,697460,-1,911330,-1,-1,786754,-1,509088,865098,905967,-1,745648,-1,-1,236110,316881,-1,336497,295120,-1,342261,-1,237199,-1,-1,-1,-1,952319,-1,153541,293625,289259,580152,771475,690558,592718,-1,180482,-1,828436,-1,-1,112031,529606,-1,392421,861192,-1,202696,933991,479494,-1,682995,-1,-1,-1,841948,-1,796749,168277,-1,947924,-1,-1,-1,-1,900058,4309,527748,-1,749789,-1,629473,921255,325233,-1,-1,-1,-1,-1,-1,-1,-1,580384,166165,761465,394614,-1,-1,680523,445316,168411,-1,649774,-1,-1,-1,291208,-1,-1,-1,-1,-1,255712,516762,-1,-1,965741,249255,1521,-1,-1,557333,455407,656486,253210,91621,-1,758833,-1,942165,645717,31047,-1,-1,-1,175271,-1,-1,-1,666437,-1,-1,-1,6427,968298,-1,-1,-1,336546,261655,456413,-1,920491,-1,330580,-1,374731,531875,544633,940068,-1,332911,529764,478941,227474,-1,-1,-1,535744,41132,-1,-1,-1,-1,130801,289139,-1,757632,-1,-1,-1,148038,-1,-1,-1,519554,69852,-1,829437,-1,-1,-1,598298,377435,-1,730282,382960,-1,-1,921402,155523,404054,102174,439148,-1,277789,569784,-1,-1,-1,63148,-1,-1,-1,382878,812233,-1,116339,-1,850177,-1,725218,990145,-1,-1,-1,165152,212530,-1,827884,-1,-1,-1,-1,-1,30559,601440,-1,-1,-1,301741,-1,-1,593793,-1,684358,116994,-1,-1,-1,-1,-1,662507,930708,-1,-1,-1,328619,-1,-1,45470,-1,-1,981410,664478,993358,296603,504571,976741,-1,614572,119819,60098,484561,142653,-1,467806,-1,789997,373126,624681,-1,462215,-1,107708,-1,18743,-1,194224,-1,-1,-1,931335,806833,-1,650361,544508,628466,394128,775599,-1,873359,-1,-1,612857,923944,518843,376022,-1,-1,-1,750120,955259,-1,-1,723367,-1,-1,894215,241271,387177,-1,521781,-1,-1,-1,-1,-1,800097,-1,-1,820890,-1,121509,377896,528862,914787,167004,787704,471574,-1,-1,385204,-1,379729,523877,37690,-1,-1,606784,676702,-1,-1,387502,32743,-1,848885,-1,-1,766110,952942,448110,-1,-1,-1,945612,-1,-1,991852,-1,-1,846193,-1,560317,327123,-1,-1,-1,-1,570818,-1,643399,586025,-1,499961,461935,-1,-1,-1,-1,212186,-1,-1,584704,841542,343613,399018,493070,-1,106076,-1,118580,-1,-1,-1,141299,-1,-1,-1,947458,-1,-1,-1,-1,-1,824084,79343,550378,89637,767340,-1,-1,700803,462745,-1,-1,-1,-1,27506,-1,800525,296762,-1,627555,77218,-1,-1,-1,725621,-1,-1,562493,-1,126834,51781,-1,503288,-1,747258,771533,113849,876466,971454,343955,-1,480960,-1,825173,834489,-1,77067,-1,968056,711670,668981,-1,-1,89369,-1,-1,512976,872720,147748,-1,-1,-1,-1,-1,441773,6437,401252,573590,308202,-1,-1,259866,728541,-1,-1,-1,-1,-1,-1,-1,-1,25337,770566,-1,112723,997720,-1,-1,-1,591969,229809,562950,522222,-1,390122,268750,-1,-1,529438,-1,-1,806982,627325,917635,619980,769029,-1,-1,823486,333053,-1,879846,207765,-1,278183,275514,-1,-1,967833,976643,81329,883360,-1,-1,-1,-1,616790,759805,-1,-1,269311,-1,-1,581443,-1,718022,517714,438928,-1,-1,706654,-1,207855,362673,-1,932468,317909,-1,557614,-1,480008,-1,-1,-1,34131,-1,55285,-1,15103,-1,571855,-1,266179,-1,-1,619816,-1,137325,-1,-1,901981,578382,-1,142195,-1,-1,322728,-1,827465,-1,940554,-1,460151,424421,5900,-1,-1,546598,524945,-1,72190,275821,528154,108565,952276,-1,-1,-1,-1,-1,-1,373929,-1,-1,-1,499019,759757,756972,860727,-1,151010,-1,-1,-1,-1,272885,-1,-1,425662,-1,283524,37441,-1,885333,522751,-1,-1,-1,680279,-1,-1,861624,-1,-1,311755,-1,652484,-1,994627,-1,371387,-1,799263,-1,-1,606462,-1,-1,-1,-1,890420,74397,-1,-1,780811,34949,118737,141819,-1,417327,-1,-1,-1,-1,-1,-1,-1,-1,693875,-1,333545,407618,-1,918953,597807,-1,-1,-1,355721,-1,-1,773332,-1,619970,-1,979898,-1,-1,-1,-1,935879,-1,756815,916569,-1,-1,-1,-1,233603,-1,-1,-1,-1,974348,783221,124857,-1,120839,774954,922147,124292,405576,-1,831855,-1,318913,877253,160155,-1,285677,51087,-1,21493,323784,-1,-1,30337,-1,-1,-1,579805,597396,904316,-1,584735,361281,-1,928458,27376,-1,204693,-1,857003,666377,285551,-1,-1,-1,527576,856809,260745,-1,551151,238572,90658,-1,83600,-1,75657,425546,457339,-1,-1,476,-1,27147,718179,-1,-1,-1,133592,218113,473339,180933,-1,-1,548637,-1,-1,-1,-1,952120,594685,-1,-1,752406,-1,-1,-1,386601,641489,606108,-1,143877,426841,605240,828050,802709,-1,284215,70378,-1,-1,226029,353702,527500,-1,-1,-1,606912,268610,-1,965655,-1,-1,529619,676067,100573,-1,-1,281884,-1,-1,-1,-1,-1,-1,908443,-1,484599,-1,282384,-1,721375,-1,-1,736509,-1,438734,733501,-1,120306,-1,891793,-1,722347,-1,-1,713730,4279,-1,-1,798292,-1,-1,722022,-1,561078,679398,-1,534958,134208,-1,-1,722565,-1,-1,-1,-1,-1,556473,-1,-1,539946,-1,294006,-1,506121,-1,904039,599557,662322,237291,-1,-1,-1,-1,182708,-1,916526,-1,545770,-1,-1,24919,-1,-1,-1,914013,-1,-1,183364,-1,-1,407188,460494,-1,-1,-1,-1,183429,304634,-1,277433,772420,-1,-1,635151,-1,443416,-1,130223,-1,774477,277756,872288,940005,793751,-1,105881,-1,-1,637676,612812,349416,-1,-1,354439,-1,7025,-1,607457,227607,778809,689652,90306,-1,-1,-1,898262,20443,-1,676218,489370,466445,94053,-1,272943,938103,378657,-1,-1,-1,-1,493229,664702,-1,-1,-1,-1,-1,-1,-1,859818,907509,772470,589961,605922,940532,248062,346044,-1,17348,-1,-1,837722,93065,-1,-1,384863,-1,-1,-1,-1,628457,656724,70232,-1,-1,406870,-1,115679,616337,-1,-1,-1,992989,-1,668815,250423,736504,464163,611055,509496,-1,666496,71685,564595,-1,268892,878410,-1,893420,944961,-1,301982,-1,-1,-1,379280,326293,-1,949090,-1,-1,8922,619811,659911,-1,-1,403949,120688,534372,732369,931397,-1,938493,720027,472140,133521,606805,-1,-1,144441,607272,173579,-1,945736,-1,900941,250928,737229,743754,363233,-1,895795,-1,879658,573162,-1,858420,-1,-1,-1,339017,567043,283224,257367,-1,888842,-1,-1,432273,734829,-1,-1,467796,-1,-1,-1,-1,472306,-1,-1,587645,745904,-1,-1,-1,359942,-1,-1,-1,-1,-1,-1,580772,-1,641010,810570,-1,160211,143161,815486,-1,223698,866372,273007,-1,645285,-1,-1,977748,-1,938491,417259,336936,-1,-1,-1,-1,473021,512654,286641,-1,856973,75214,-1,-1,-1,-1,690305,475600,-1,527347,-1,577592,-1,-1,-1,-1,-1,245534,-1,-1,805770,438844,803234,-1,-1,719808,-1,759700,457270,-1,-1,-1,-1,69798,341215,121130,913488,63556,121573,-1,-1,79316,-1,700774,-1,626297,558423,-1,836356,7485,-1,965038,641300,641259,717933,-1,-1,640593,148972,-1,-1,600317,-1,836872,-1,692307,332877,-1,742931,-1,133380,518060,-1,-1,-1,888442,830792,-1,463718,880457,135547,861370,-1,-1,-1,-1,-1,534430,972578,418573,-1,-1,-1,602173,757916,484673,-1,-1,379222,-1,238342,913019,-1,-1,500448,617341,-1,484578,-1,-1,-1,-1,-1,-1,-1,-1,777530,72482,749886,-1,-1,-1,843211,898172,469834,-1,-1,-1,-1,-1,-1,-1,-1,-1,149754,-1,-1,693183,-1,772019,-1,693676,-1,-1,660596,624592,-1,-1,263448,-1,658178,122751,876932,731161,-1,612593,-1,353873,514778,238178,-1,832334,-1,812142,-1,902264,986792,-1,-1,-1,-1,-1,418608,684898,240939,-1,-1,744572,-1,-1,306735,179410,423692,846633,-1,-1,-1,540295,804872,183924,630342,-1,-1,679699,-1,-1,-1,708701,510980,890570,132612,-1,853263,-1,-1,-1,112651,359863,361481,244952,202051,-1,545929,324076,601378,116442,581304,-1,487083,636587,928242,-1,433913,-1,95129,890106,350136,577172,-1,-1,824903,657835,-1,770632,-1,811363,-1,373833,-1,-1,-1,146828,85073,840106,145539,-1,809463,664306,-1,736330,-1,-1,691433,-1,679178,-1,-1,-1,168207,670140,416180,674932,700537,-1,-1,460438,-1,-1,-1,317987,814963,-1,811941,279461,412898,160201,629919,53087,-1,80393,-1,-1,983016,-1,-1,106109,-1,233397,242359,212710,-1,500103,973076,892587,-1,-1,-1,-1,-1,823781,877292,897564,99599,-1,-1,-1,-1,386487,-1,820482,-1,123467,-1,-1,136622,793950,61246,764335,-1,879316,-1,156059,-1,-1,-1,-1,-1,-1,-1,815243,-1,392336,873461,714193,-1,4716,672417,937862,-1,-1,278505,177477,-1,102252,831171,659170,-1,-1,-1,120432,-1,-1,109128,-1,-1,128984,104568,-1,-1,19051,809999,637093,619444,577243,601060,-1,-1,-1,974907,-1,876200,-1,-1,757180,915882,653312,-1,766264,791766,124275,836601,-1,-1,-1,635320,-1,-1,-1,231570,965110,635689,-1,633714,829246,-1,-1,-1,876870,-1,-1,944835,629309,-1,694643,586988,-1,-1,631287,-1,-1,-1,-1,-1,591704,-1,-1,847934,637167,453530,-1,238556,-1,-1,-1,70729,373709,498770,382320,-1,-1,-1,-1,-1,745336,-1,412939,-1,127604,-1,-1,-1,-1,-1,324172,-1,908329,349223,982266,12847,262450,568415,-1,-1,21189,-1,-1,-1,-1,837118,968628,-1,917205,692465,-1,-1,595080,-1,-1,823396,-1,-1,-1,-1,982491,87777,-1,488998,277726,-1,-1,34392,850185,919921,-1,-1,-1,96422,115772,607766,-1,683653,405435,970681,104355,-1,946273,-1,-1,673060,-1,-1,-1,908162,341560,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,554158,710081,-1,15427,-1,-1,-1,983598,-1,-1,884431,-1,423951,149681,-1,-1,-1,-1,857548,786510,871991,-1,484700,230020,894661,-1,793074,-1,24854,546757,305606,-1,604801,-1,-1,-1,-1,145632,820112,777001,554725,-1,325940,338504,266944,-1,716825,140462,1917,695286,-1,-1,160887,-1,-1,-1,18274,524161,88010,505688,648471,278062,842435,-1,-1,345025,-1,-1,-1,-1,557369,-1,-1,337351,159375,25301,331646,143002,-1,-1,-1,565412,306790,358249,-1,-1,-1,667284,-1,-1,-1,793731,-1,367087,208832,483159,435864,109151,223057,626330,508416,950263,553040,-1,-1,672933,-1,93636,389996,-1,-1,-1,-1,-1,-1,488838,-1,414735,993271,-1,5903,11921,-1,787211,595296,123089,57107,-1,989007,807894,196396,-1,-1,-1,-1,-1,757313,-1,426436,-1,750628,-1,-1,546985,-1,-1,826307,689589,878099,132189,-1,-1,2692,-1,177560,455514,-1,-1,-1,-1,-1,349032,510729,22616,93810,842980,-1,87607,-1,631507,509387,-1,229639,-1,-1,506922,733196,-1,517296,427778,-1,66936,606969,-1,-1,-1,-1,463297,-1,516001,804429,210678,932799,883626,-1,-1,-1,-1,638241,679263,563649,-1,305065,-1,-1,849876,-1,-1,15728,-1,-1,-1,-1,190531,945749,-1,-1,-1,964786,-1,403164,-1,-1,340900,196022,-1,-1,-1,-1,-1,-1,-1,234488,-1,808599,-1,657688,682426,-1,-1,35732,104346,385601,-1,11302,778280,765775,213764,-1,-1,-1,-1,-1,505782,-1,1098,53720,-1,903434,417501,892502,-1,-1,983453,-1,-1,-1,-1,-1,-1,672014,288449,41223,-1,-1,-1,728370,-1,-1,224216,-1,-1,-1,374182,-1,-1,-1,-1,354791,-1,-1,543130,198703,931776,132110,-1,-1,317650,-1,690076,999923,-1,425359,-1,401961,300088,461318,293653,382976,-1,-1,931384,-1,267646,-1,918589,166771,-1,665719,-1,197913,243928,-1,-1,-1,-1,318118,-1,-1,-1,-1,635300,-1,531610,127623,859391,581774,-1,-1,-1,225382,54897,557511,565835,420147,-1,-1,-1,943726,65275,-1,382198,108491,685808,96950,624849,295287,647934,279229,686940,584157,197566,-1,327646,766411,-1,847038,606052,-1,-1,30353,-1,-1,-1,651831,-1,902871,981127,-1,400092,-1,-1,-1,-1,787482,-1,-1,-1,747436,470308,497790,-1,725921,-1,417202,438191,464588,198668,624929,971720,374312,486889,597953,435509,97203,182305,-1,-1,290497,-1,-1,864776,-1,228194,-1,897130,680214,-1,634279,755004,69326,-1,993653,-1,798538,-1,-1,-1,-1,818329,253512,-1,177748,-1,249111,935893,-1,336087,629527,-1,500327,-1,-1,29693,825952,-1,286167,907636,-1,-1,-1,980156,746734,693418,-1,-1,-1,630136,456558,-1,-1,-1,-1,645158,-1,-1,208713,559728,-1,-1,981648,135071,33881,-1,367264,497674,-1,787690,314258,877339,-1,-1,284336,220907,645692,-1,-1,-1,-1,-1,298564,697707,-1,792648,904568,-1,791,820494,-1,-1,-1,-1,258930,976623,-1,142641,-1,367601,-1,-1,-1,-1,-1,955414,-1,525856,181419,63196,-1,840059,803854,-1,413926,541699,581333,616050,-1,547069,-1,112696,-1,-1,-1,-1,965766,531114,33905,-1,-1,141390,-1,-1,-1,756465,718342,395375,960392,-1,-1,811979,-1,368378,449163,-1,-1,232052,-1,-1,236069,-1,-1,35039,542059,794476,295615,952148,480841,672636,328507,-1,841515,-1,-1,777576,-1,312312,-1,-1,428361,2691,248693,268193,131299,768010,-1,737184,-1,-1,-1,-1,-1,-1,-1,-1,-1,847702,204007,359664,327557,182204,754737,-1,-1,-1,621141,149011,545977,700354,-1,-1,-1,-1,-1,-1,72813,-1,-1,-1,816092,-1,-1,-1,961659,-1,239557,-1,715865,290691,-1,718525,-1,741047,250806,810299,855560,761785,695958,-1,957506,-1,815287,697738,-1,659101,-1,-1,201923,-1,-1,847670,3355,-1,-1,-1,-1,736829,377525,141733,98811,-1,275335,656693,894495,779187,940989,887686,817358,-1,-1,-1,649125,-1,573257,58427,-1,-1,-1,780634,-1,-1,465929,214708,-1,-1,-1,76131,-1,-1,-1,-1,257951,237483,-1,344001,18507,-1,109499,-1,-1,-1,837238,1000,540472,-1,-1,445388,975357,759534,959015,-1,242510,74437,-1,37721,-1,-1,-1,-1,-1,-1,258925,-1,315241,581870,-1,363583,321333,488601,-1,401546,-1,-1,-1,223603,160743,-1,-1,675405,-1,-1,-1,-1,811783,-1,538395,700826,233607,173669,-1,400514,-1,-1,-1,-1,621407,592452,68926,219337,-1,-1,-1,-1,-1,-1,232547,367315,170237,23110,-1,974932,620764,57591,-1,-1,350727,22316,151608,607404,670174,-1,654724,9531,383954,-1,82567,-1,991336,-1,199522,-1,-1,-1,-1,-1,-1,957210,-1,-1,924715,-1,-1,562284,613708,640082,357217,390072,-1,249368,632977,-1,120548,554368,-1,656453,-1,-1,-1,-1,-1,-1,600620,-1,816762,735187,963949,-1,422201,-1,-1,-1,-1,-1,166896,884724,467094,-1,-1,997451,228717,364604,648923,-1,-1,-1,997568,37175,-1,163148,515766,843792,-1,101613,343358,-1,197705,-1,584,969518,386891,151156,253760,-1,207507,233195,-1,-1,-1,-1,-1,-1,490063,480297,832301,752778,-1,-1,-1,-1,143001,238724,-1,-1,772818,-1,879778,-1,-1,630468,458198,234788,-1,510540,-1,283472,-1,-1,-1,-1,-1,-1,-1,63811,525486,319761,-1,-1,-1,-1,517302,914680,-1,499288,108018,-1,-1,-1,931378,366403,-1,-1,517817,508578,-1,-1,739049,671552,684916,-1,315493,445869,-1,713296,-1,-1,-1,174097,800124,632033,-1,-1,140028,176928,61878,389645,-1,368485,-1,296668,369388,-1,-1,297657,-1,248685,559421,-1,-1,-1,-1,104545,811582,819228,-1,500315,545391,642121,-1,608889,-1,375537,394739,-1,665403,486062,137179,588970,-1,-1,-1,-1,-1,-1,141811,-1,35295,-1,649333,-1,-1,944287,-1,-1,810655,608321,-1,876753,395621,946384,-1,409883,306345,458842,659722,622159,292407,-1,642573,-1,781974,647030,503932,531380,425966,-1,857616,995950,-1,-1,-1,640007,-1,105065,-1,-1,609891,320691,119269,-1,228744,-1,-1,-1,347598,-1,330173,578023,43337,618370,490995,143887,-1,816065,265814,-1,-1,592022,109638,859975,287276,388102,-1,-1,-1,-1,-1,519531,22285,-1,-1,280487,15119,248258,602936,544533,396492,49748,862926,822538,-1,-1,898053,846734,-1,-1,974460,580679,409804,-1,-1,146224,553171,713041,567017,262771,-1,-1,680418,640063,-1,284370,119284,200189,-1,952104,-1,-1,-1,643262,-1,-1,-1,-1,80854,127123,-1,-1,-1,294262,825585,3417,979083,389715,-1,-1,-1,109854,-1,-1,818840,851037,-1,-1,-1,505089,969995,919337,-1,346184,-1,736962,-1,-1,455903,-1,286354,993035,558545,-1,137856,-1,28611,-1,-1,-1,-1,-1,-1,-1,307820,-1,-1,165458,-1,366448,251929,884969,-1,68280,-1,679667,-1,346421,361362,-1,-1,-1,-1,397806,735710,-1,275617,535939,844320,-1,-1,-1,330921,-1,-1,854763,483913,638210,150620,91658,-1,311534,731651,-1,-1,962933,347449,-1,470568,-1,-1,765137,782324,-1,-1,-1,140085,73585,622736,-1,296041,37878,-1,306650,464951,792111,328875,-1,-1,192595,-1,938346,636103,244410,-1,-1,133191,472872,-1,-1,207932,-1,273190,154511,-1,-1,-1,-1,-1,-1,228485,-1,-1,826730,-1,156810,-1,-1,-1,-1,389287,623642,296682,-1,940168,665078,343984,-1,491738,-1,661316,-1,-1,-1,-1,809939,-1,-1,985231,622515,611845,246605,-1,591412,661377,612188,-1,-1,943992,-1,299176,-1,992088,648340,-1,804936,-1,835845,-1,-1,-1,832916,-1,572276,-1,436424,113427,-1,443760,-1,-1,-1,-1,-1,-1,-1,386023,-1,378222,1744,-1,-1,-1,833983,-1,155178,850568,430731,164682,-1,287953,272274,510645,-1,-1,222494,-1,-1,275708,-1,-1,-1,984377,-1,-1,223187,497477,800926,172808,706270,862110,843392,55306,-1,571111,850774,-1,931674,-1,-1,-1,-1,-1,-1,-1,-1,-1,144526,-1,-1,212251,-1,123149,77667,949228,-1,-1,211328,-1,-1,304987,406928,142415,-1,-1,542180,458629,-1,-1,284362,442772,117324,230592,944975,14635,-1,-1,413495,847353,-1,-1,875561,656904,113276,597289,578794,-1,848036,-1,-1,-1,955349,-1,-1,770625,-1,43213,605528,-1,240048,84216,-1,129448,273382,-1,460262,655720,895671,-1,-1,41622,743181,813787,817269,566273,-1,402076,975169,711544,-1,-1,-1,-1,683226,-1,980285,601283,206086,78707,538331,-1,273011,683839,-1,961045,-1,786548,-1,-1,-1,347378,259053,-1,91988,-1,418004,-1,228455,332357,-1,33496,-1,-1,-1,970627,-1,-1,-1,-1,-1,706010,105422,-1,273837,477466,-1,-1,-1,3112,-1,-1,-1,-1,219329,746440,164209,757299,-1,-1,540934,930030,-1,435439,398833,63285,-1,-1,-1,-1,-1,186760,695752,-1,137636,-1,307231,375868,916835,181492,550443,-1,511057,-1,736954,465166,-1,75320,485498,442104,-1,190711,-1,31165,-1,989351,-1,960277,345514,-1,-1,541743,32544,952845,740094,812379,531239,-1,371542,876271,-1,333848,698813,22684,268467,72549,795338,-1,632575,-1,-1,-1,-1,-1,625847,826138,139457,-1,274676,305570,-1,953159,560621,854663,978719,-1,172078,376863,-1,595656,-1,72378,489899,188228,-1,748965,426328,16845,-1,853845,-1,-1,864267,-1,955479,738666,679908,9448,-1,764678,-1,170536,883092,817245,512081,275504,-1,-1,-1,173887,532996,873136,-1,995719,-1,930853,-1,-1,-1,-1,-1,241481,-1,897392,-1,207437,-1,-1,334774,462443,620443,-1,357066,-1,-1,-1,-1,-1,218060,-1,-1,-1,599958,908519,-1,588785,480366,-1,171136,735014,540902,-1,843466,-1,100041,-1,-1,-1,18899,-1,549268,-1,-1,947915,289967,-1,941057,-1,-1,-1,411525,156474,-1,-1,888774,517537,-1,801736,-1,942002,-1,71240,839695,219673,-1,229057,638231,283406,550519,843108,-1,-1,897536,191555,447373,469474,978571,583595,766697,-1,147761,-1,-1,961005,-1,-1,719694,-1,716271,436751,425534,-1,-1,-1,972160,451663,-1,524801,762104,-1,-1,487799,645915,-1,712112,-1,-1,-1,-1,294221,-1,87711,477154,-1,236710,757672,-1,76073,691184,631857,732662,148656,504873,-1,767706,-1,-1,559932,133190,-1,349754,-1,528896,-1,741758,-1,515971,-1,113517,710752,826517,-1,-1,-1,803300,621610,947671,21015,-1,177366,469637,-1,585496,596981,374588,-1,640106,-1,-1,440450,603843,-1,1492,-1,380486,569738,455355,-1,887958,359206,223553,982043,-1,880250,-1,-1,316477,-1,317346,-1,885202,364011,877538,-1,741648,485966,161822,-1,-1,522043,-1,366214,940150,-1,-1,-1,453963,711674,-1,614872,294493,22505,893150,232211,-1,885554,320951,137334,156305,-1,768719,981043,128873,723144,-1,-1,4969,255019,-1,57924,236917,271611,848518,-1,-1,-1,-1,-1,-1,-1,103354,-1,-1,-1,641408,36535,-1,753948,-1,92843,-1,-1,535685,-1,484219,-1,883282,810404,-1,-1,-1,859990,50429,225982,-1,-1,240268,-1,231319,213267,895443,703575,634754,821310,-1,-1,674846,-1,510466,885390,87240,993937,634210,857187,-1,-1,-1,-1,954737,602478,-1,-1,400547,411801,-1,-1,115464,647591,288005,-1,-1,-1,598358,350319,-1,-1,-1,301183,583545,928954,426623,-1,5078,-1,768357,916124,704970,499806,211447,-1,874239,-1,-1,-1,-1,-1,10518,857574,128887,923658,447950,842995,743496,890908,45818,-1,817680,-1,-1,-1,-1,-1,968169,-1,3939,-1,-1,654477,749669,-1,-1,96432,-1,527696,606739,-1,948837,-1,119250,-1,-1,-1,-1,840134,-1,562884,974015,-1,749603,153303,-1,-1,-1,-1,524968,-1,-1,-1,101877,-1,988382,-1,-1,918532,508237,476305,-1,247279,313552,830539,-1,-1,-1,-1,335034,-1,868245,382213,305409,929930,-1,-1,186974,809339,195461,859830,-1,404711,634639,576202,-1,-1,-1,-1,285288,998042,-1,2788,525448,980700,70311,957105,-1,757701,-1,-1,696048,468528,-1,-1,-1,-1,296232,-1,236509,679956,415019,-1,-1,685214,-1,-1,-1,914120,224087,-1,451040,-1,528169,287200,-1,777325,319006,555154,573754,679489,-1,425988,-1,-1,803061,708421,-1,-1,225776,364423,621757,353777,367599,-1,187101,-1,-1,228789,163849,-1,907413,-1,894337,-1,-1,937125,-1,-1,263139,-1,319323,-1,222776,-1,608358,-1,-1,76456,940868,-1,-1,889684,-1,-1,993875,-1,142452,187078,-1,-1,878922,746969,208211,965096,-1,210964,-1,-1,260142,-1,776045,-1,704901,-1,462415,-1,-1,-1,-1,324261,27227,547454,900545,-1,-1,948064,118779,172677,860081,-1,211893,-1,435162,942039,268368,-1,-1,560032,-1,652363,576849,972121,-1,-1,-1,492369,816171,-1,226844,834604,218390,293139,337055,-1,507950,-1,-1,675454,307000,92692,-1,392,915540,-1,390592,830383,466898,160888,388603,710013,-1,816792,-1,-1,-1,870075,990705,-1,389811,-1,212502,-1,-1,299495,-1,457035,-1,153384,173487,-1,30924,-1,-1,422618,-1,156771,69428,-1,227126,688021,-1,-1,-1,-1,366109,-1,114145,786972,-1,256308,-1,987278,970086,368182,158303,65273,557051,142386,-1,339851,550797,790479,474598,610981,578945,-1,744602,-1,885038,858934,-1,29335,441181,789122,-1,97170,934575,-1,-1,-1,-1,433670,662016,423921,638746,-1,-1,-1,-1,532414,863882,-1,-1,-1,256086,620178,-1,-1,-1,633037,464340,905147,943954,-1,-1,-1,614527,-1,168377,292383,-1,-1,-1,352320,336016,-1,-1,436910,247330,884092,145976,957157,-1,845411,-1,-1,-1,182553,-1,-1,426704,-1,871960,487466,447765,279488,173069,-1,-1,-1,-1,350954,-1,42054,-1,171903,-1,-1,-1,-1,130514,620721,250950,-1,420462,-1,648507,-1,-1,-1,-1,732103,-1,-1,-1,-1,159262,-1,7321,942400,-1,-1,141373,-1,-1,898782,136420,-1,-1,107975,767961,-1,-1,418741,669159,-1,931459,-1,-1,890462,168840,-1,78077,-1,316335,217411,-1,-1,-1,397920,-1,-1,144767,-1,620469,490745,-1,-1,-1,352044,670669,-1,-1,113992,-1,-1,-1,933370,-1,549098,-1,-1,544646,-1,501810,537044,598234,-1,-1,-1,865062,-1,-1,-1,153991,-1,112422,605310,976767,103517,216948,-1,109996,-1,305827,-1,-1,173335,453250,-1,713756,-1,-1,-1,107952,910542,20580,119355,-1,123155,689905,-1,-1,-1,-1,880564,684741,590554,-1,887780,719223,-1,441444,548446,560885,674423,373349,865748,503748,-1,727609,-1,-1,-1,-1,998035,-1,-1,720678,798995,-1,-1,806857,-1,402624,445428,-1,-1,467759,299271,800524,938587,-1,-1,745980,111299,-1,416342,506923,-1,226930,-1,347703,-1,-1,-1,-1,203651,-1,-1,-1,736314,-1,380508,782223,-1,188294,-1,-1,-1,807544,-1,196356,989080,768857,-1,-1,186804,93577,-1,-1,202742,681214,-1,-1,-1,548219,553133,778656,349723,924171,-1,-1,-1,874914,791684,-1,626884,204819,-1,-1,-1,-1,648846,882340,-1,899512,414888,-1,-1,878048,-1,-1,-1,902821,-1,-1,-1,197939,-1,703708,-1,-1,-1,794209,-1,-1,866232,466902,-1,-1,-1,-1,-1,-1,-1,-1,724884,169939,-1,-1,-1,569771,547713,-1,522618,197394,554175,194410,806657,106407,-1,149405,-1,931954,121601,-1,-1,315739,795403,-1,-1,-1,-1,-1,447771,-1,474107,-1,-1,215102,-1,586866,636693,-1,915166,-1,-1,777851,629299,-1,-1,-1,-1,-1,-1,343204,641050,-1,-1,781041,-1,-1,-1,856189,-1,452644,-1,473605,551302,-1,-1,418807,966285,-1,-1,285313,590191,624146,-1,-1,-1,-1,197812,-1,490645,976849,-1,-1,-1,70668,34619,830847,-1,-1,-1,261705,793262,-1,-1,539165,707695,479438,86260,-1,203056,31695,982646,-1,179315,-1,576116,-1,204542,694778,510439,901252,84266,57784,-1,-1,-1,610082,786734,54647,-1,65965,38998,43254,-1,627587,631888,-1,20418,-1,-1,64546,217111,-1,863986,-1,469334,167440,790639,-1,-1,-1,204846,-1,957724,-1,-1,522164,657024,-1,980916,777250,-1,-1,500676,-1,13259,824857,-1,108224,-1,-1,164288,927719,870951,-1,85,286045,119821,-1,81672,-1,753758,724196,-1,-1,-1,209306,936228,447224,687770,83011,163088,-1,603981,-1,299883,15283,426249,345278,139272,546462,-1,510559,-1,780568,-1,-1,-1,19194,-1,-1,139644,946710,-1,463091,-1,736539,648540,863345,326854,-1,342639,-1,826964,-1,66161,451571,365438,-1,-1,763784,-1,-1,-1,-1,150011,-1,444190,-1,968021,-1,-1,440982,-1,963155,341869,423171,-1,-1,-1,863943,-1,-1,-1,-1,-1,-1,202864,-1,348444,68115,205779,121736,-1,-1,203689,972716,-1,-1,466421,445296,-1,-1,-1,217606,886754,502190,54611,-1,-1,-1,524853,839753,-1,157883,-1,-1,686131,-1,592312,271288,-1,-1,-1,177455,92831,305793,-1,533783,16267,686891,395994,-1,-1,999318,753974,960342,-1,-1,418529,-1,314823,-1,-1,4630,-1,513134,770321,763885,64250,-1,437503,882314,-1,576758,992878,445363,-1,437652,296737,-1,508376,-1,277228,369035,469133,391293,984501,115415,-1,844168,-1,-1,412093,743752,484221,809137,478713,623210,-1,694672,-1,678164,-1,27346,30287,-1,-1,742585,409838,629603,326653,-1,-1,564102,-1,-1,-1,-1,-1,95257,-1,-1,-1,802878,42161,136379,676599,-1,85905,-1,-1,361560,750748,343187,-1,-1,172692,501620,478300,733067,-1,943998,-1,393853,-1,-1,840060,-1,896490,72591,177415,-1,-1,427423,-1,-1,9717,-1,-1,-1,-1,398054,-1,-1,969581,226919,-1,-1,548822,324231,106383,457111,-1,-1,-1,739778,198983,329650,-1,505418,-1,-1,-1,576032,910302,-1,671725,-1,106446,111307,84257,-1,541848,155241,296529,469073,512740,-1,-1,379203,-1,-1,85589,-1,420828,-1,213150,766784,538582,-1,-1,105869,842510,223654,693038,826763,-1,-1,-1,444770,221510,-1,-1,-1,200291,-1,568580,-1,991867,611943,-1,-1,405699,519373,290690,813056,521113,-1,-1,-1,-1,328474,680765,-1,-1,289353,-1,-1,-1,-1,778461,18509,-1,-1,420236,-1,315927,646808,403222,907284,135011,-1,190472,-1,566051,256526,-1,188992,946056,-1,970102,217919,617376,574031,-1,503259,407147,139354,-1,477682,-1,-1,-1,-1,-1,-1,-1,-1,-1,671604,-1,-1,-1,191470,-1,437940,-1,-1,-1,-1,46995,-1,818410,680095,719176,718645,-1,-1,481038,-1,263181,-1,68579,9988,67744,943628,-1,-1,583226,-1,-1,-1,-1,-1,-1,95202,-1,12882,-1,-1,762740,-1,-1,603817,170025,959429,128113,-1,94911,-1,-1,-1,483559,-1,-1,-1,-1,719568,-1,72280,-1,960593,-1,-1,708743,301628,-1,-1,-1,489364,-1,-1,-1,317450,-1,-1,616467,367776,184350,-1,915853,-1,260753,277292,558220,-1,17000,-1,250356,304029,-1,270401,321427,-1,-1,-1,697680,29155,-1,-1,159253,412132,-1,686615,-1,-1,713205,929309,-1,-1,716529,-1,-1,-1,109566,105823,852094,-1,207001,-1,-1,602308,97489,-1,927698,-1,393306,-1,870197,-1,203277,276678,387226,-1,-1,-1,-1,-1,-1,36961,-1,-1,13790,-1,73166,531132,-1,-1,580348,-1,585861,150299,-1,219999,-1,35106,195754,716278,-1,532800,-1,-1,-1,677932,-1,-1,-1,770586,-1,863212,-1,960186,790456,-1,243309,973295,-1,-1,235279,-1,-1,-1,71524,306703,31821,-1,40126,-1,-1,-1,-1,-1,218959,-1,778498,672449,-1,-1,365316,991135,919220,-1,-1,-1,-1,663443,-1,859820,-1,-1,729297,-1,287039,-1,632673,979392,-1,-1,307737,-1,-1,-1,-1,-1,-1,-1,804921,-1,-1,484531,485543,-1,-1,-1,24970,-1,-1,721845,-1,-1,635706,-1,-1,735531,-1,-1,-1,-1,128138,880584,-1,618409,326870,-1,194793,538344,48030,499468,-1,-1,-1,729417,-1,139951,-1,-1,-1,-1,-1,-1,509512,-1,776594,-1,-1,-1,-1,-1,290977,414041,-1,176245,-1,-1,-1,-1,-1,-1,-1,794972,187843,-1,718757,48458,88168,423841,-1,-1,-1,-1,590021,-1,120416,-1,-1,705042,407466,399617,-1,452228,527996,544433,658328,658771,-1,600797,143222,733611,105141,285298,-1,663580,-1,494355,-1,545427,798809,-1,988404,-1,-1,-1,46611,10527,-1,233101,603132,-1,-1,987036,-1,-1,153411,548751,929877,652397,817241,749636,-1,538525,-1,-1,576977,-1,483767,-1,926736,-1,-1,-1,474524,-1,-1,-1,718302,-1,-1,-1,-1,-1,-1,261400,-1,-1,504805,-1,214788,-1,117073,386314,440218,394979,44403,-1,224925,-1,43818,-1,-1,-1,-1,570897,120208,505385,-1,615415,525067,870336,633779,-1,603313,831097,-1,493188,562186,705301,370949,873672,-1,-1,792153,-1,-1,105499,-1,114916,-1,-1,812007,983421,-1,2414,-1,-1,-1,-1,-1,247252,791594,-1,-1,-1,917610,684670,328143,18473,993920,-1,889708,-1,-1,-1,-1,-1,468697,-1,545077,782581,687057,681398,-1,23968,532473,463929,803785,-1,-1,896689,-1,-1,-1,-1,-1,-1,334554,208341,-1,571778,455284,-1,249022,-1,-1,18615,861714,-1,694114,822460,-1,-1,-1,-1,-1,944818,959964,194770,-1,-1,-1,-1,474126,119182,-1,-1,-1,407226,323879,-1,-1,-1,-1,517050,-1,-1,-1,46538,260717,74981,880979,-1,264066,740961,442578,291986,127461,-1,526946,-1,-1,-1,205057,344794,-1,-1,738932,-1,243789,379345,598577,-1,-1,921323,-1,-1,962321,682862,-1,229646,647862,796150,35991,414890,-1,373143,376440,-1,-1,764508,-1,934022,899377,-1,736213,-1,484640,723904,209770,-1,-1,-1,612544,983339,-1,502395,118821,-1,861782,-1,-1,129816,122172,-1,276338,-1,29101,-1,-1,-1,654124,258081,210581,-1,733048,372484,-1,196823,-1,369983,-1,-1,485858,637992,-1,37989,671185,-1,-1,-1,-1,142602,-1,663169,-1,712051,917223,777350,-1,-1,443102,-1,812241,-1,-1,-1,-1,-1,915874,-1,-1,-1,-1,413518,520002,-1,945423,162537,-1,-1,-1,-1,883905,816619,-1,392392,-1,595785,987247,-1,-1,947688,578005,-1,139235,937867,-1,-1,922341,470077,867840,-1,534999,-1,-1,-1,-1,-1,877283,-1,727452,-1,-1,-1,-1,402830,-1,-1,-1,948425,108546,965852,100337,-1,-1,-1,390726,922633,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,948206,550811,-1,236613,-1,-1,659601,-1,-1,875498,-1,912275,-1,540745,341638,426316,335694,277057,-1,423502,-1,-1,986074,-1,9947,742126,672542,317097,196806,329558,-1,-1,489354,-1,-1,-1,-1,-1,159152,595061,-1,617436,208353,-1,646005,555981,-1,96175,45909,-1,474297,-1,718936,-1,-1,-1,311677,807461,-1,144298,679741,-1,-1,334907,-1,-1,-1,-1,623756,771396,826258,896215,-1,750999,-1,890233,843952,-1,340502,160131,647230,958996,-1,-1,-1,270637,684887,891537,787697,47689,910028,-1,185633,588927,584552,-1,-1,-1,990159,645239,74247,747380,-1,889904,-1,-1,-1,-1,-1,-1,176092,-1,-1,694498,957992,-1,389775,-1,-1,255346,443142,759716,-1,258234,882252,425535,-1,422713,207516,-1,-1,506222,620970,826119,53832,176478,477020,-1,-1,275705,738751,-1,511076,-1,710963,823345,-1,-1,22519,-1,-1,-1,29977,626015,376248,-1,-1,-1,-1,-1,-1,900261,205797,705283,-1,-1,233333,850343,-1,-1,294253,-1,-1,-1,-1,89281,-1,881802,100832,112800,433517,-1,651618,-1,-1,912896,-1,126675,41342,984634,-1,80755,-1,-1,-1,708633,586424,398269,-1,-1,-1,-1,-1,-1,-1,998141,-1,-1,-1,-1,456293,-1,253404,-1,734784,-1,429407,128281,-1,683549,263814,219544,174235,187322,240309,-1,-1,-1,-1,-1,-1,385596,-1,639528,860007,728198,255649,499323,272014,-1,-1,968534,-1,-1,-1,327125,822396,-1,775608,750389,138118,811403,-1,-1,190630,-1,207411,906123,301843,772918,110501,354808,-1,54124,983392,-1,460515,-1,16764,917588,192041,-1,-1,-1,538499,-1,665961,-1,548512,41117,317582,196708,-1,-1,902449,-1,218180,-1,-1,-1,820820,934341,52186,494519,655112,-1,-1,-1,-1,-1,-1,786362,-1,-1,-1,614110,297926,443265,571683,-1,63681,737432,-1,-1,665419,867264,356996,586113,-1,-1,-1,-1,-1,421319,340294,553217,976047,643141,-1,-1,-1,-1,368017,668904,-1,-1,612686,-1,850433,-1,-1,537114,-1,-1,-1,665561,-1,970894,789882,938422,-1,-1,76793,-1,247234,-1,-1,-1,-1,-1,572593,-1,155525,-1,897,891437,-1,-1,103442,607769,-1,594995,-1,322265,-1,100420,-1,958116,650374,-1,-1,-1,271080,634150,-1,78571,-1,970236,312428,901381,898059,220629,838676,782877,-1,241320,969543,-1,466537,428370,-1,489571,103867,923744,517250,-1,-1,16430,893294,803899,-1,-1,975824,932829,98062,-1,-1,823172,-1,-1,114498,-1,871449,903767,-1,-1,375701,-1,-1,778006,-1,301542,-1,-1,892928,-1,399561,424536,-1,-1,311617,-1,-1,-1,919390,-1,673438,369132,-1,582982,278195,549020,417930,-1,463794,805016,-1,630774,588308,991244,965752,-1,-1,661651,-1,505041,556852,-1,-1,444881,-1,933218,492857,790591,337532,182750,633166,-1,775653,-1,-1,-1,38447,3733,-1,-1,211841,-1,968691,481938,-1,-1,-1,-1,-1,-1,-1,-1,292081,-1,763493,648087,-1,-1,-1,605264,-1,37585,-1,416504,404626,-1,-1,433390,-1,14048,-1,316779,-1,807145,-1,538749,-1,591846,124254,-1,-1,-1,686884,-1,107068,675184,-1,195306,346663,-1,-1,541354,-1,-1,-1,-1,215247,203920,-1,-1,-1,-1,-1,-1,815219,240594,215998,-1,-1,-1,715091,768220,263886,341991,563839,-1,-1,682604,-1,185077,-1,390757,113834,966690,757582,-1,-1,131555,-1,397768,-1,838268,22524,-1,-1,443707,-1,-1,-1,-1,-1,59218,390051,-1,3159,-1,512716,835724,31936,907031,16600,-1,-1,551900,693855,348019,-1,300594,-1,662038,-1,382687,835284,942863,-1,-1,-1,389110,414447,-1,590120,-1,-1,110503,851323,88553,731525,-1,485176,-1,541611,665772,-1,-1,229719,-1,289912,382395,663732,985591,-1,951690,-1,730230,-1,465101,-1,367094,-1,-1,464141,311919,909243,194779,-1,-1,187651,-1,833573,854302,-1,-1,-1,-1,-1,-1,-1,-1,-1,220035,-1,566809,630081,182828,318511,231464,-1,-1,823040,-1,-1,965674,-1,42698,-1,-1,-1,-1,646980,538070,-1,265378,991717,996667,-1,-1,-1,-1,-1,639921,-1,-1,-1,683358,432930,-1,-1,-1,649095,28201,-1,520145,-1,-1,-1,-1,-1,-1,-1,752030,-1,-1,-1,686924,-1,548904,408696,751279,-1,-1,225947,898892,-1,-1,524875,558488,844559,-1,-1,-1,682477,-1,-1,966402,-1,752893,-1,-1,342195,-1,793,986206,973766,-1,372949,73387,525581,-1,-1,-1,-1,407931,854436,480102,-1,358932,744216,222697,-1,416329,324309,-1,-1,-1,935566,-1,808221,366286,-1,823039,236546,996019,-1,836260,765850,33914,-1,719477,662750,-1,-1,17333,-1,-1,-1,-1,467973,253058,938186,643688,-1,975235,-1,175209,-1,-1,157312,-1,622969,727124,810906,-1,267039,-1,365145,-1,721943,743782,685843,507598,-1,-1,-1,-1,-1,-1,-1,860224,-1,-1,-1,-1,492712,-1,79882,200008,-1,671093,780132,114021,-1,-1,385292,621902,625816,-1,-1,133248,-1,-1,539611,819433,-1,-1,398103,-1,642131,-1,-1,183234,969766,884020,-1,-1,315007,532785,-1,568335,-1,-1,-1,-1,171677,-1,-1,586339,-1,-1,61723,-1,-1,824654,86047,-1,498856,541927,-1,-1,-1,298216,253297,-1,-1,528126,-1,-1,496063,-1,868715,-1,-1,-1,-1,655058,-1,130630,68010,-1,-1,479613,-1,-1,102904,-1,-1,-1,-1,-1,-1,-1,607756,-1,-1,186957,211208,-1,204151,54986,771905,-1,-1,445787,58198,655084,472543,-1,-1,107400,-1,-1,-1,416611,891617,-1,-1,960644,-1,598867,905443,505815,142939,515044,-1,675460,-1,-1,65817,31251,-1,-1,-1,-1,-1,-1,201252,-1,-1,491716,-1,-1,-1,-1,601960,404415,-1,-1,671486,-1,-1,-1,651041,227685,-1,751689,-1,-1,-1,841490,-1,-1,353431,721144,440237,659558,952144,-1,771063,150591,769723,579409,-1,673769,943810,213274,444617,77739,363917,778666,333055,-1,-1,287378,-1,-1,-1,189411,856467,750023,302206,-1,-1,-1,-1,249759,-1,470546,-1,-1,-1,139466,79655,-1,-1,-1,691915,809729,887043,-1,990912,708036,239029,-1,-1,-1,885752,119713,-1,-1,-1,-1,-1,-1,73228,631692,933683,921018,-1,-1,622194,-1,-1,-1,-1,-1,59453,-1,685076,-1,-1,-1,644706,-1,861860,-1,874441,-1,219896,-1,905618,-1,210118,232082,210033,864232,-1,822539,948955,638675,-1,-1,567756,965611,868437,353673,752635,-1,-1,152158,-1,-1,870991,136652,-1,-1,-1,-1,506822,307652,969469,-1,110737,824557,-1,886051,972333,3544,777017,-1,537032,618593,-1,673482,455862,853596,-1,-1,-1,-1,-1,58966,32002,40056,453361,-1,-1,657100,180478,243640,496910,-1,-1,524003,777306,-1,303880,110161,842179,-1,-1,-1,-1,699686,698624,-1,554511,732823,-1,-1,869888,882356,859155,-1,-1,267479,-1,193911,-1,-1,-1,912584,-1,-1,965218,911782,-1,336925,239042,248612,-1,-1,-1,-1,-1,194671,-1,669804,983906,-1,550768,388693,322600,-1,820740,801798,-1,-1,-1,678590,-1,95037,-1,194535,593008,197490,829250,-1,-1,-1,178073,-1,-1,-1,-1,194985,-1,-1,-1,-1,915038,738711,783571,828149,671209,-1,-1,-1,94563,889071,-1,-1,-1,188172,110044,783188,941748,537073,377274,-1,-1,-1,-1,923095,344725,759563,-1,89,784709,-1,523359,710064,860729,-1,-1,-1,396225,-1,249125,564384,-1,-1,-1,-1,571277,52753,-1,-1,118893,172837,604179,354387,-1,499420,916068,146339,-1,-1,-1,-1,-1,695610,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,82714,218507,-1,-1,48818,774162,961766,-1,385053,883787,-1,-1,-1,295722,917988,-1,-1,-1,-1,346589,-1,148404,754886,598534,261401,372520,709760,-1,106791,-1,603585,-1,-1,-1,428265,640838,118639,-1,850232,639735,-1,-1,-1,-1,-1,530290,902489,778227,5933,31396,136999,818896,3072,-1,579919,-1,-1,897446,-1,538528,192572,-1,-1,-1,25049,926760,-1,-1,-1,-1,237986,-1,471025,-1,-1,-1,127223,482749,-1,922857,434963,564244,-1,-1,225543,-1,-1,-1,-1,379454,-1,-1,-1,438084,-1,140781,95826,448793,868751,167790,575934,736955,711469,112570,595832,909346,746337,25531,457552,-1,-1,262626,-1,-1,584822,-1,-1,-1,-1,-1,934517,-1,-1,631390,-1,-1,-1,579746,747550,708847,696210,-1,311724,-1,-1,-1,465232,-1,-1,-1,788319,493985,949684,-1,265330,880075,-1,436498,-1,649504,816957,-1,-1,-1,608510,123762,4101,-1,939686,853337,-1,659268,235152,163618,938795,488955,-1,810769,662903,315938,862425,286427,-1,-1,-1,-1,661333,503473,-1,-1,-1,-1,963561,618588,-1,-1,869138,508987,-1,-1,-1,863015,-1,123917,-1,9641,-1,76865,53452,367304,-1,620360,-1,395136,-1,-1,-1,276101,161396,-1,770024,-1,300238,285399,-1,-1,-1,131041,-1,-1,936474,-1,-1,-1,-1,407529,-1,876225,-1,-1,-1,143701,758268,645235,-1,-1,-1,-1,-1,-1,-1,-1,872017,56623,-1,941733,572024,-1,586134,-1,-1,459119,321543,-1,-1,-1,106228,511100,-1,960507,-1,-1,344056,-1,876089,736298,927533,-1,-1,457114,193704,376493,-1,467239,791990,537191,-1,218011,581118,-1,-1,271634,-1,799403,806587,835163,-1,-1,-1,-1,-1,-1,445069,-1,-1,-1,50827,-1,-1,-1,875720,-1,-1,-1,-1,399050,347171,-1,790691,886571,-1,-1,408039,122755,-1,762069,265452,-1,-1,-1,408582,928799,772457,255660,176973,23240,-1,579958,768670,954147,-1,-1,-1,404303,-1,931074,975898,202473,-1,-1,-1,-1,-1,-1,-1,-1,711103,-1,-1,-1,-1,-1,415034,160709,-1,191009,-1,981013,882712,-1,-1,-1,193028,-1,-1,-1,600292,-1,-1,274590,619580,-1,-1,415305,329772,277724,-1,-1,-1,193914,698052,307465,-1,-1,-1,693542,-1,-1,314981,-1,883826,834649,881946,-1,638684,-1,-1,-1,-1,113255,881705,671356,-1,-1,900114,896665,706440,60412,366935,-1,468673,845661,956200,778525,423591,621492,838533,-1,610887,316730,-1,548247,307072,646548,285234,687689,460755,438408,-1,-1,665909,338066,-1,579831,547553,479122,-1,-1,717782,-1,-1,-1,708619,-1,598483,-1,-1,868992,-1,995342,638677,624634,-1,153858,-1,608188,265259,723263,-1,-1,786287,-1,-1,-1,596151,756112,945111,-1,-1,-1,-1,648565,-1,-1,-1,48038,802602,-1,259251,-1,681950,-1,818059,575302,653907,-1,-1,33214,-1,-1,-1,272238,6690,419703,-1,16200,206601,532908,-1,-1,440140,-1,-1,798317,225048,-1,438042,610362,-1,825293,-1,-1,-1,801193,726833,982765,997109,403458,876073,490638,-1,-1,-1,29867,-1,314874,-1,-1,560979,-1,814668,171256,667234,504664,362231,-1,-1,15326,-1,-1,-1,809460,638794,-1,843993,-1,-1,530022,768384,-1,-1,208721,-1,855743,-1,277416,158366,168638,-1,-1,-1,-1,306381,-1,317014,-1,-1,-1,-1,263434,-1,-1,-1,205632,-1,-1,212787,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,309190,291172,-1,-1,-1,673786,-1,44681,462294,736131,293043,-1,-1,-1,343173,-1,315979,936340,955915,-1,-1,361802,38654,-1,946270,517556,-1,981048,440156,434023,-1,-1,542520,688520,399785,311605,939542,759203,-1,-1,-1,-1,155987,-1,635727,799542,170876,-1,-1,803803,-1,479982,933520,490539,-1,-1,42484,-1,969231,-1,65714,593743,483540,-1,-1,-1,-1,516473,-1,-1,178307,-1,-1,187654,-1,462410,334871,763818,-1,206006,-1,-1,-1,600456,-1,852322,667084,479262,-1,510231,867984,-1,-1,830073,-1,-1,-1,575765,946856,90085,756426,-1,419868,-1,267343,944478,608502,-1,982793,-1,59823,168587,-1,753579,941654,398809,177488,987187,302493,730591,559220,623656,323124,-1,-1,657866,470325,500185,-1,-1,-1,-1,566479,923930,606164,-1,320216,-1,690480,248006,100255,-1,-1,-1,-1,-1,870372,262590,-1,-1,885684,-1,620992,774504,813826,-1,-1,605949,741023,576766,766084,-1,612176,631592,168405,-1,-1,53531,-1,-1,-1,-1,-1,-1,-1,-1,891884,300870,-1,774676,736566,731089,-1,-1,-1,268672,-1,799651,86138,910358,-1,60569,-1,-1,-1,-1,-1,-1,-1,10545,832727,955430,-1,52410,883766,-1,903020,567985,-1,232946,124953,517512,-1,610057,-1,136930,267125,135408,-1,-1,-1,-1,-1,721132,-1,-1,400742,-1,-1,-1,-1,-1,927586,982198,572639,726904,-1,458976,115815,-1,298670,282379,360846,-1,804455,-1,804198,166924,637681,951281,-1,-1,-1,-1,-1,634493,-1,199392,674489,744674,598745,994568,880472,-1,536314,932387,-1,706593,-1,-1,256455,847319,-1,300531,-1,-1,513564,-1,-1,-1,178825,-1,237162,-1,385065,772582,-1,-1,149901,-1,-1,-1,-1,-1,-1,678070,20350,-1,417983,-1,-1,335287,-1,-1,-1,661017,639397,-1,823714,-1,-1,-1,988148,592221,218879,-1,-1,-1,926040,934623,-1,-1,361531,81750,-1,-1,546360,104836,-1,-1,-1,374430,-1,-1,884726,724962,-1,376605,755156,772860,868818,297987,942669,-1,365248,-1,-1,49434,-1,-1,-1,-1,-1,-1,62848,618274,-1,977897,359921,-1,730289,-1,-1,352657,644763,-1,859557,144192,187613,319846,-1,-1,-1,-1,995612,574174,-1,945894,-1,-1,-1,412722,617921,-1,-1,65348,-1,57086,31470,350749,455311,132442,881136,150,416942,741654,-1,210093,-1,-1,83940,588512,816363,758023,831145,789229,737597,-1,-1,-1,-1,-1,177818,664256,753079,824048,252635,951530,-1,162377,413658,146931,-1,834213,605604,-1,-1,751057,-1,705342,-1,-1,61980,142460,587052,389216,-1,-1,366957,-1,633933,812655,-1,-1,556775,14182,-1,-1,-1,693409,622223,-1,436614,504954,-1,-1,-1,792042,895506,113236,-1,-1,693133,90441,-1,887448,-1,-1,-1,-1,-1,359175,-1,308492,-1,441814,863355,201667,-1,-1,-1,-1,689925,-1,-1,539663,-1,666725,-1,392757,-1,-1,805579,47529,-1,408349,290457,463092,-1,499462,657827,590650,-1,527427,11214,-1,364986,-1,-1,-1,-1,215413,188527,30035,739849,-1,15910,-1,-1,-1,-1,-1,894180,977761,295424,-1,-1,-1,-1,301786,-1,406566,-1,184701,431759,-1,865312,-1,160694,887178,985763,-1,-1,-1,693754,93335,872029,544857,523839,24337,696721,699963,-1,150826,964948,-1,535363,-1,43528,994087,-1,-1,-1,162972,591624,-1,410201,491609,-1,-1,-1,717099,112503,265091,946662,-1,-1,980063,-1,993237,-1,603793,756968,816202,516974,-1,772761,613575,51627,417414,-1,-1,-1,-1,-1,-1,-1,968456,-1,178635,872476,-1,744754,614207,998691,818002,-1,725696,-1,309658,168842,135004,-1,-1,-1,-1,397515,403823,-1,43050,-1,38696,360178,-1,269638,24661,-1,595265,-1,-1,358323,-1,-1,-1,-1,740046,-1,53879,473249,-1,347816,669626,668138,391636,-1,607860,576204,2321,587170,125800,-1,-1,-1,438199,-1,-1,106757,-1,-1,-1,-1,21491,584188,-1,-1,-1,-1,-1,575126,-1,842321,806081,-1,-1,826466,82782,-1,-1,598593,974926,-1,871281,-1,406558,823015,-1,48801,324108,-1,872552,-1,738660,52155,-1,208299,-1,486030,705626,-1,414795,-1,332331,-1,-1,484638,168251,173258,-1,-1,398669,-1,-1,-1,363787,-1,845341,-1,-1,-1,-1,155088,276829,-1,888110,-1,532239,-1,962618,-1,155266,246290,-1,-1,616831,226866,712846,568942,-1,829445,72932,357827,-1,865139,904879,951177,73922,276126,-1,780081,694736,-1,-1,203503,-1,-1,521637,533605,-1,-1,502318,449149,-1,-1,-1,-1,854032,778571,402430,-1,-1,871346,720599,716833,848014,121114,535290,757909,32473,886729,-1,-1,310158,146753,210016,965873,524238,-1,760048,612530,621735,-1,637390,862342,66907,-1,180054,582641,425000,829372,471143,-1,-1,-1,977755,656712,63678,-1,-1,293239,-1,-1,937104,415792,112440,-1,-1,-1,-1,546415,-1,-1,486397,-1,86089,643288,697291,-1,334489,-1,75329,558114,243296,-1,-1,217142,934871,613548,538483,618514,-1,23442,-1,-1,-1,-1,-1,-1,-1,57018,663125,-1,-1,-1,151375,-1,-1,362150,-1,-1,-1,776056,-1,-1,-1,-1,-1,-1,964327,-1,638022,497697,-1,-1,694946,348001,996898,-1,578544,12516,-1,-1,988611,-1,861267,141111,-1,565403,730874,-1,-1,101690,771067,542399,615409,565416,637059,-1,-1,-1,-1,304662,679907,67374,522828,530306,-1,-1,399250,-1,-1,-1,553821,-1,919310,631713,992333,-1,-1,-1,-1,-1,419490,631265,-1,563509,-1,-1,241002,701206,-1,-1,-1,960664,-1,-1,-1,237532,-1,852789,-1,422571,-1,-1,-1,166557,-1,863250,-1,862764,749426,476278,804216,949470,478568,-1,215544,-1,-1,-1,-1,-1,-1,828636,-1,-1,990589,-1,754214,350328,-1,88869,430231,874843,539589,-1,876049,-1,-1,-1,-1,-1,275245,-1,434754,132147,-1,-1,-1,-1,-1,-1,118197,97005,938538,387571,-1,152235,-1,-1,221895,375384,-1,785205,633226,-1,-1,792936,-1,976371,28941,250823,241916,902392,265411,124063,-1,325184,302233,67874,422655,373881,218901,538760,259605,753941,-1,-1,-1,130481,111017,-1,-1,902702,870913,-1,-1,788849,-1,920896,653539,-1,-1,-1,845487,-1,-1,872571,-1,26039,-1,-1,82285,-1,-1,-1,-1,641743,448662,915234,-1,103129,720795,-1,7969,293376,-1,277644,-1,101701,201288,470361,-1,-1,82744,779540,-1,-1,-1,-1,-1,535489,-1,-1,-1,736441,265650,-1,-1,487847,-1,-1,-1,-1,-1,855785,371866,-1,-1,640144,836644,209005,-1,607528,-1,-1,391806,925324,-1,544381,643448,285081,264294,-1,62020,902454,-1,953014,430268,-1,-1,790938,-1,191994,99301,986522,291000,460720,-1,681328,-1,-1,506010,481407,15739,870924,-1,-1,-1,639416,683171,-1,190510,-1,-1,-1,-1,487127,-1,-1,-1,136414,-1,-1,972030,556575,46682,-1,602426,628305,705387,-1,359792,569186,-1,-1,-1,466786,128853,-1,623308,611918,300013,-1,60395,236291,613540,-1,-1,-1,381114,905658,-1,980807,-1,-1,586354,-1,-1,-1,522304,750288,879012,415539,-1,-1,-1,-1,-1,340777,-1,-1,591031,160260,-1,-1,783030,-1,-1,370993,-1,-1,199146,-1,-1,-1,-1,-1,-1,-1,480027,-1,848532,862050,906415,-1,12075,901585,20151,801022,-1,193853,150589,-1,892308,-1,661313,-1,424968,-1,-1,107250,819735,-1,120166,499334,-1,-1,-1,898125,922990,-1,-1,-1,-1,-1,40723,525461,688204,-1,254581,-1,-1,-1,30342,77000,820646,45491,990024,545376,118780,-1,620106,-1,904299,-1,-1,91173,-1,33075,91558,429251,-1,-1,687419,-1,375318,623964,-1,-1,376685,131424,482757,-1,-1,568233,-1,-1,-1,449716,80416,-1,440272,-1,628482,-1,-1,-1,427312,862880,-1,-1,475346,-1,-1,-1,-1,-1,-1,19756,161515,-1,-1,496352,-1,579583,191474,-1,-1,33487,-1,681811,920824,785183,-1,540755,762697,-1,-1,256101,703975,398698,-1,750333,603848,-1,-1,-1,69476,-1,-1,577573,261472,200643,-1,865885,-1,675787,-1,80361,850215,692263,-1,-1,474012,-1,-1,-1,842239,404646,683101,185436,342951,962820,439668,-1,-1,132272,358689,-1,931756,417502,-1,-1,486160,-1,-1,-1,-1,-1,-1,-1,119327,-1,287656,-1,-1,572415,103689,-1,220795,157984,985242,338723,375634,-1,-1,254446,-1,-1,-1,143652,998903,868433,577721,971438,981184,22555,289262,815606,872185,519930,-1,-1,710859,-1,916015,529657,45230,-1,-1,-1,-1,-1,70428,446328,-1,433866,277637,849636,402232,96402,605160,544005,307037,-1,558699,-1,82033,-1,-1,-1,-1,-1,-1,346432,385418,445255,188429,927217,381300,90239,593258,712587,-1,-1,-1,-1,148715,862263,-1,-1,-1,-1,-1,-1,-1,-1,73911,420025,-1,-1,-1,276917,-1,-1,663068,-1,430089,215797,813198,111731,506881,-1,-1,805789,464350,491551,507007,-1,-1,-1,96123,-1,19989,-1,187157,640996,-1,265278,-1,153600,758448,-1,441298,-1,225937,638443,908291,-1,740180,-1,11466,795201,894938,-1,201777,-1,516480,943373,-1,-1,41939,-1,292285,266592,181066,568591,-1,889122,732871,455699,960589,-1,-1,508647,-1,-1,716611,320341,-1,130128,-1,293414,-1,977312,193212,-1,241263,213354,74674,-1,-1,-1,630320,-1,-1,962412,-1,860525,85740,-1,282661,-1,-1,965121,253730,-1,-1,-1,631719,296937,995253,246816,132680,-1,-1,963749,-1,184271,127803,583398,-1,-1,586760,920641,47000,-1,956409,639205,-1,539930,24930,-1,-1,2574,278300,-1,806963,448129,828829,690268,-1,-1,-1,250592,-1,-1,493108,856074,-1,-1,976076,-1,808156,-1,326522,-1,84627,611263,-1,-1,-1,-1,336787,-1,-1,745353,-1,834594,-1,-1,-1,-1,-1,-1,507972,-1,296820,877415,535435,-1,833414,-1,788799,964838,490934,-1,745660,-1,432803,-1,-1,-1,209621,-1,-1,-1,-1,-1,696691,-1,968651,-1,-1,-1,185996,260293,-1,-1,88794,-1,-1,-1,363859,-1,-1,439103,-1,-1,-1,-1,-1,-1,-1,-1,696202,852709,-1,492615,-1,-1,228533,-1,-1,873417,323737,-1,807050,-1,606147,-1,-1,-1,-1,83924,324050,601549,107887,-1,-1,252631,-1,98468,897313,-1,680283,632834,-1,-1,-1,737466,95687,-1,395460,81829,610320,-1,-1,834770,-1,395990,435645,465077,-1,-1,912568,-1,715072,-1,961960,539590,-1,-1,-1,450226,-1,-1,-1,332393,435495,473284,181582,-1,562700,298624,-1,914376,26619,429449,-1,902561,140142,591919,509638,857689,-1,-1,-1,-1,-1,-1,-1,926281,-1,-1,634111,180316,-1,-1,175484,-1,798821,437087,-1,814618,207786,90492,-1,424422,-1,104662,901813,666897,554184,623362,-1,427149,193262,-1,-1,260734,833147,-1,-1,-1,-1,-1,967982,478926,47373,-1,943675,-1,-1,710242,-1,635638,334112,349356,-1,69367,758169,745467,-1,-1,161745,554388,-1,404893,411568,-1,-1,42338,233571,-1,-1,620901,-1,985635,-1,930125,-1,252209,-1,-1,-1,-1,246535,-1,-1,-1,697877,273036,546526,591053,169263,179788,950994,-1,-1,142767,198105,335028,943221,423201,773259,93869,-1,549949,564679,801049,-1,46231,80852,20037,-1,103681,691744,171889,156827,-1,8455,350118,709538,-1,582583,694578,283588,-1,306349,-1,-1,736211,-1,-1,-1,323818,-1,-1,-1,-1,-1,-1,27747,-1,-1,536340,-1,564206,-1,-1,-1,342572,629434,658437,741837,633469,6411,11288,-1,-1,915378,107484,678034,844116,-1,790087,50315,-1,-1,380780,487597,-1,-1,344536,-1,-1,525360,-1,-1,-1,264033,-1,-1,-1,626666,420930,-1,405943,637984,-1,-1,-1,-1,-1,-1,-1,-1,390007,668880,-1,678325,933058,49565,411402,-1,-1,-1,859159,992819,-1,436292,674710,-1,161539,-1,-1,446840,-1,431980,-1,-1,-1,99226,616255,577842,-1,414374,936888,-1,206145,326785,-1,-1,-1,199170,625469,797704,-1,-1,709643,980821,504172,709341,-1,-1,-1,603501,408124,-1,903669,76639,-1,-1,-1,-1,493819,-1,-1,-1,664847,-1,-1,866113,-1,-1,728085,-1,502859,335671,960789,885778,976997,-1,983947,93081,-1,953679,-1,313935,-1,128363,-1,-1,889041,647562,878636,14996,998864,-1,545925,-1,129995,132224,919410,-1,-1,-1,-1,-1,83882,-1,-1,-1,-1,871938,-1,-1,-1,375027,232579,365139,-1,-1,380047,235952,932993,-1,292877,896216,323955,-1,-1,-1,-1,-1,932857,-1,-1,183754,45332,941551,707482,391496,-1,623605,-1,611777,424629,-1,-1,274920,-1,359078,-1,-1,-1,826362,-1,-1,698548,595350,243843,-1,-1,-1,-1,-1,-1,602444,454111,-1,-1,232281,712635,-1,-1,806560,-1,730998,767347,651760,-1,-1,-1,-1,468196,-1,-1,-1,466885,-1,257615,757141,-1,285171,-1,-1,221599,872792,161991,-1,-1,244816,9604,-1,-1,-1,108831,-1,35785,-1,-1,934511,-1,-1,-1,-1,-1,26601,534368,344486,-1,-1,135928,-1,709456,401569,-1,728405,-1,-1,-1,248193,819886,-1,-1,-1,65036,-1,-1,429759,942575,583655,70892,-1,680401,49928,78120,-1,259655,-1,365757,-1,40734,-1,527498,206376,350089,-1,865073,214872,298519,-1,305755,954002,-1,-1,680143,-1,-1,127193,625710,807276,202226,-1,573272,995693,386653,717930,-1,-1,275791,-1,628909,646221,927667,-1,966124,-1,264812,130690,-1,150279,-1,-1,-1,674381,-1,-1,582220,-1,676537,469635,-1,-1,-1,-1,-1,-1,961925,-1,-1,-1,316774,191032,-1,789573,389507,-1,764176,-1,764650,977494,-1,-1,495904,624762,895857,205920,-1,980276,869227,-1,-1,-1,-1,-1,-1,-1,489924,-1,-1,438983,957155,-1,-1,-1,444725,715497,-1,-1,-1,-1,-1,-1,-1,862231,774082,-1,983990,520808,-1,-1,-1,-1,288953,-1,791762,-1,-1,422779,-1,276604,-1,345224,635260,173316,-1,-1,421554,95644,-1,-1,-1,-1,-1,874655,-1,-1,554840,144939,763020,-1,132545,425413,894579,453932,-1,-1,210409,-1,-1,-1,168827,981507,232453,-1,-1,543495,-1,165229,-1,888817,-1,142226,822263,-1,-1,-1,-1,943553,-1,-1,818576,-1,-1,661751,140950,892334,95124,791431,-1,586231,-1,-1,869918,-1,-1,623576,806028,502310,7622,192276,589499,-1,663939,-1,78051,-1,528029,106258,790672,701366,-1,261246,288728,373141,515249,-1,949371,-1,379136,-1,-1,358146,330123,527672,-1,790849,-1,560524,226725,-1,597845,422683,276088,-1,-1,384009,-1,-1,580798,235191,-1,539573,143750,-1,989721,-1,-1,651050,-1,716313,275611,406542,355226,356800,137215,-1,-1,-1,765885,-1,496454,-1,-1,626287,-1,-1,-1,391688,-1,500407,-1,643950,255591,-1,862141,765626,-1,-1,-1,-1,586578,841784,94240,161235,-1,-1,-1,144820,503362,839533,-1,879029,-1,-1,-1,636910,-1,341034,-1,-1,-1,636012,792747,-1,676847,-1,941140,209368,23963,-1,940942,-1,210550,903315,-1,89452,-1,-1,-1,492223,622240,-1,-1,542009,183795,563340,861072,569098,-1,-1,38241,545689,433794,-1,295882,-1,174367,-1,196853,-1,-1,946970,363092,-1,-1,726191,110356,-1,-1,-1,914159,-1,-1,-1,-1,770523,-1,202920,764341,383634,901165,-1,-1,-1,-1,653245,-1,-1,-1,-1,566934,428764,-1,-1,-1,-1,278379,-1,840111,4505,-1,-1,-1,506480,-1,-1,946490,-1,2472,-1,-1,498597,739220,77912,-1,-1,-1,680273,-1,804360,744500,465911,715079,409499,911062,936910,63985,-1,-1,-1,-1,-1,704884,-1,642354,-1,-1,-1,509585,-1,-1,-1,968724,706162,-1,-1,-1,635030,-1,-1,-1,403408,-1,57123,464108,-1,934918,506544,-1,-1,-1,899955,-1,474916,311122,-1,-1,-1,598693,-1,-1,52147,46595,-1,164206,-1,275378,-1,896285,772572,-1,-1,-1,-1,-1,968584,992483,-1,-1,-1,-1,650429,344853,530495,39004,145740,511506,-1,-1,-1,-1,36412,-1,-1,35344,263381,857789,146148,106014,-1,-1,-1,-1,-1,75170,-1,716548,733556,-1,288779,-1,-1,-1,-1,-1,-1,-1,802406,976241,-1,-1,145858,-1,958745,-1,-1,296727,-1,254640,309007,-1,-1,489502,955058,-1,-1,-1,973094,-1,529652,-1,574257,870129,-1,-1,205445,570288,636763,-1,268532,-1,-1,-1,-1,782577,-1,907856,867999,573510,789553,-1,-1,209052,575349,-1,278305,488708,87114,452260,-1,686533,-1,395864,-1,-1,748954,-1,-1,407196,-1,481459,922297,-1,-1,-1,282031,-1,588210,-1,-1,-1,910328,995222,683761,67496,687679,309016,-1,926102,-1,-1,-1,790976,-1,-1,-1,-1,476760,6204,-1,204930,757467,-1,556497,489673,726232,637969,-1,-1,394287,126827,-1,752193,730785,-1,-1,-1,234598,93881,-1,648168,-1,-1,-1,-1,-1,-1,-1,-1,659038,210627,-1,-1,-1,826850,-1,-1,408906,-1,-1,-1,-1,453356,202656,915771,-1,219270,-1,814631,178506,180521,-1,-1,-1,931755,873217,119226,685002,193202,957493,932565,-1,261121,-1,297160,-1,931192,463807,119266,620741,-1,-1,-1,811723,150366,166947,-1,109682,239553,-1,960125,-1,476482,-1,-1,393226,50661,-1,-1,356929,-1,-1,-1,33889,223785,350349,681628,-1,-1,189664,-1,27998,34892,550822,251060,98201,69082,676051,-1,110063,-1,-1,663321,505359,12668,523219,-1,79613,-1,994555,858775,287549,-1,552564,410385,-1,776319,87098,-1,989171,824036,209802,-1,-1,-1,-1,161692,-1,-1,449310,-1,-1,-1,-1,-1,-1,344160,362275,615030,696897,5775,-1,51402,-1,-1,-1,83188,-1,-1,184310,-1,-1,-1,948139,770984,-1,202616,-1,-1,-1,662160,-1,-1,206551,802505,926973,90084,779260,-1,-1,59627,-1,-1,552450,116555,163687,-1,-1,453657,229724,332061,-1,495801,-1,515812,280088,-1,686735,98859,453663,-1,464767,449941,631034,160322,-1,-1,785297,-1,682260,279816,638442,-1,-1,-1,-1,907269,-1,-1,-1,-1,538509,-1,198987,-1,426102,-1,177005,-1,543312,505949,979993,91471,774277,-1,-1,966721,-1,461322,-1,-1,107395,732551,798245,925894,-1,-1,972979,-1,-1,-1,-1,774581,147380,-1,83976,753950,713453,4698,-1,-1,492918,-1,-1,255471,736832,-1,226187,440430,470085,-1,537187,-1,632224,741905,-1,23718,672046,416280,-1,353296,-1,48539,-1,83156,846022,-1,290215,-1,-1,-1,-1,-1,617314,-1,342444,-1,711238,-1,-1,590115,662330,737157,-1,280989,199680,-1,309256,157206,804724,85191,-1,688998,875175,711847,567568,297476,970389,922480,65747,143791,335305,-1,51678,688864,793379,-1,-1,-1,951734,-1,27655,750825,-1,-1,958299,559856,-1,895396,-1,575011,-1,-1,-1,-1,123757,-1,469177,972417,-1,516965,579654,-1,755453,470102,553489,-1,728187,-1,-1,-1,318864,-1,-1,-1,-1,-1,40940,-1,743912,961332,617938,553789,-1,34112,793552,-1,-1,-1,340798,724542,332231,-1,-1,624103,586369,-1,-1,494231,607739,433439,399966,467577,157196,718590,-1,-1,-1,-1,942736,759112,-1,-1,487221,34020,-1,-1,-1,543149,43275,-1,-1,996735,-1,-1,-1,512883,508466,507360,904305,463483,-1,-1,-1,-1,-1,-1,302608,-1,771634,-1,-1,-1,768725,-1,-1,24468,869689,979532,-1,-1,125687,-1,-1,-1,964968,-1,161373,-1,644730,278944,-1,-1,391334,-1,-1,-1,-1,711613,194132,254754,-1,-1,124114,-1,933237,746133,218347,608371,74151,-1,404007,-1,-1,-1,-1,439599,-1,91326,-1,727824,-1,-1,30313,218958,-1,-1,63563,668730,56962,46483,-1,-1,951252,106008,962144,254878,-1,545173,535800,-1,-1,12780,232896,990972,489401,-1,-1,-1,322648,128032,511615,-1,468229,-1,-1,-1,-1,-1,346689,-1,507150,904452,18701,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,567454,-1,964682,-1,-1,163746,86431,687866,598281,-1,792321,417273,-1,979892,-1,686328,506105,850961,-1,-1,353059,-1,-1,124621,615396,854367,-1,-1,-1,279071,-1,408854,-1,-1,984195,-1,528753,-1,545944,-1,327499,329239,522761,675681,-1,-1,-1,17734,46503,-1,-1,-1,-1,91443,938135,-1,782008,-1,763971,-1,-1,-1,-1,711757,343219,532689,-1,296610,846583,968685,478830,-1,548514,139281,523121,-1,205802,67803,749367,-1,444387,-1,726533,58925,819880,734147,-1,-1,-1,-1,-1,377362,429700,-1,144146,-1,-1,704095,-1,-1,-1,-1,849744,-1,801976,354346,859770,-1,696239,343629,-1,771766,-1,207980,-1,991408,450021,-1,-1,-1,-1,584834,264613,-1,221121,-1,9986,-1,-1,921436,-1,-1,393457,-1,-1,146754,-1,256399,-1,919842,462369,730855,752397,520343,938359,318279,-1,-1,11306,486250,-1,-1,-1,352441,302957,-1,825343,-1,-1,301383,947790,-1,128816,490795,35850,316310,644403,21191,27340,786766,524334,935158,22277,-1,454940,-1,-1,-1,-1,-1,-1,514771,-1,979443,621632,115,702993,-1,-1,842064,-1,-1,-1,825302,381603,-1,-1,-1,-1,545905,810204,51438,24727,960425,687665,189764,-1,478043,-1,-1,-1,-1,293571,-1,-1,-1,-1,931540,-1,473465,-1,-1,115670,78365,-1,-1,-1,316401,285374,-1,-1,353542,639429,-1,-1,-1,685016,200349,356011,-1,500331,-1,313549,853030,-1,792290,358864,449482,722466,-1,215385,456824,-1,-1,745632,-1,247306,-1,-1,-1,586895,-1,-1,389928,110613,63144,331924,-1,904448,43211,-1,-1,393932,-1,-1,-1,-1,150649,-1,176503,-1,258839,-1,-1,-1,-1,-1,-1,274446,-1,-1,753484,963611,-1,584588,-1,591317,-1,52997,715675,199405,-1,161059,448487,196425,-1,-1,620393,529556,-1,887624,-1,602763,-1,-1,280204,33406,-1,-1,808160,-1,246258,-1,953259,230474,-1,-1,154941,-1,-1,950319,-1,-1,602739,826139,-1,-1,577720,876227,421821,784939,-1,959596,650913,-1,518185,338603,-1,-1,-1,-1,-1,-1,-1,-1,-1,991544,125741,-1,-1,640705,-1,531208,-1,-1,-1,406376,892771,-1,-1,731660,216146,-1,-1,-1,-1,-1,-1,602451,-1,349551,431381,-1,397568,789992,416704,-1,-1,941315,-1,-1,650352,33429,-1,905893,-1,-1,-1,565540,806778,-1,799310,785384,-1,-1,794194,771109,898138,439893,994232,688237,-1,-1,21258,-1,-1,-1,-1,90435,421433,938893,-1,-1,-1,989533,-1,564893,221279,-1,-1,-1,238594,837989,-1,43642,867891,-1,109711,-1,-1,971379,-1,207778,185467,-1,-1,428380,-1,-1,77787,353716,660993,-1,450733,338669,605086,852528,-1,987379,-1,-1,-1,-1,582972,-1,-1,557245,-1,388033,-1,-1,808738,732449,49785,-1,314489,931173,-1,-1,132948,-1,-1,95932,-1,812419,-1,-1,800820,923407,961115,852095,-1,458395,235201,826243,-1,-1,299192,10258,867955,856192,106502,-1,-1,203328,-1,-1,162788,-1,305907,434000,859580,675010,845163,976298,-1,-1,-1,-1,-1,-1,595945,306952,-1,996275,-1,-1,33409,-1,115037,-1,-1,763070,-1,-1,-1,-1,-1,271953,-1,-1,322023,204494,-1,423520,-1,82162,13844,-1,-1,660637,35180,-1,-1,428938,-1,-1,-1,591562,-1,392914,-1,501033,-1,836422,-1,519059,508131,-1,-1,-1,178178,-1,-1,-1,933711,-1,91686,-1,416750,-1,102485,916323,-1,642046,629080,8631,-1,-1,479150,268342,-1,601901,-1,196827,-1,-1,-1,862662,-1,812969,525536,140247,-1,-1,198151,789646,23653,-1,794977,721436,369655,322044,-1,-1,275892,990198,267944,138072,-1,-1,-1,753137,-1,968407,-1,-1,559773,632160,-1,-1,909925,-1,70939,-1,-1,794478,-1,117193,-1,-1,-1,-1,-1,282961,53141,-1,-1,-1,595892,367969,978833,970182,-1,-1,759660,806742,511632,123471,-1,-1,-1,-1,-1,-1,-1,601797,731413,-1,893680,523526,999593,-1,148427,205482,-1,-1,698722,-1,201920,-1,462859,-1,142809,953190,-1,489920,555633,57060,198194,-1,738314,-1,-1,191459,766478,807371,-1,-1,488161,247896,-1,109052,239982,-1,-1,250681,802788,834170,695309,-1,450951,238345,318756,-1,-1,684037,-1,-1,-1,691445,203366,-1,313600,476245,746711,-1,750602,-1,-1,153196,716675,-1,-1,562693,967877,869776,529380,-1,85543,-1,491828,-1,532949,852201,-1,-1,-1,291225,148391,885783,183098,603166,210596,-1,-1,-1,7477,-1,-1,-1,-1,-1,-1,-1,50562,-1,666583,-1,-1,-1,334584,-1,666260,485480,863006,126442,839425,9891,444864,775950,-1,-1,948312,-1,-1,43628,-1,235235,442840,-1,-1,-1,681891,-1,-1,271210,-1,-1,-1,-1,-1,330706,-1,-1,-1,524124,209646,648426,4186,-1,-1,520096,-1,789724,99689,-1,-1,-1,-1,-1,13486,458150,273891,-1,-1,987218,-1,-1,-1,-1,560686,346155,983278,213820,654368,-1,345458,-1,588049,-1,673908,864936,645561,447577,-1,-1,-1,-1,-1,101976,890358,255054,-1,592703,493006,-1,-1,-1,273479,-1,663843,826159,-1,-1,-1,946532,735383,-1,102606,-1,-1,418252,258797,-1,-1,-1,-1,50172,84440,425746,591047,934512,-1,-1,-1,197917,773615,-1,22782,358009,-1,182490,-1,591627,-1,963903,-1,-1,505206,427451,-1,-1,983620,-1,653753,863735,544168,970734,-1,-1,-1,892353,-1,-1,680746,335379,974295,-1,-1,-1,-1,869710,888563,996905,399595,-1,-1,-1,-1,-1,696471,376363,-1,168395,-1,844277,-1,647725,446070,219390,223604,2527,639007,694122,-1,698818,-1,-1,-1,198442,929598,392051,-1,69939,-1,-1,-1,-1,349540,-1,11037,-1,466417,698146,-1,367809,-1,757801,998437,310556,412239,-1,676477,-1,-1,542699,-1,-1,882265,692971,-1,53296,855349,108405,568558,-1,-1,427717,-1,153877,851844,-1,-1,86867,-1,-1,251888,-1,766,239321,-1,-1,125839,532462,-1,-1,-1,-1,-1,-1,-1,738229,-1,400097,753632,-1,-1,-1,557983,-1,811798,-1,83982,-1,-1,-1,-1,953085,789102,435977,-1,724310,-1,-1,-1,173171,-1,-1,-1,741282,853229,-1,716188,156200,-1,-1,937051,-1,-1,605003,-1,-1,-1,-1,-1,655528,-1,-1,-1,-1,517866,969313,-1,-1,-1,950480,305610,880287,-1,-1,-1,-1,805364,246287,-1,-1,726229,-1,-1,-1,-1,-1,445337,-1,617903,257424,37718,432223,-1,732972,-1,493361,-1,855921,657240,416647,-1,634930,-1,-1,-1,-1,676967,648518,-1,-1,-1,413712,909660,-1,-1,259616,-1,-1,926329,-1,-1,237218,157260,249878,-1,584851,369063,-1,907397,-1,765040,889901,39293,-1,-1,-1,-1,350471,752871,8121,-1,624542,-1,-1,509332,727956,-1,-1,377011,143529,128923,-1,591947,73074,904998,-1,-1,982050,-1,-1,576848,23040,-1,-1,-1,-1,-1,-1,-1,-1,287770,-1,-1,280093,837309,-1,728555,904859,-1,924441,-1,-1,883265,511569,75290,-1,130350,-1,801477,-1,691402,-1,449892,-1,225281,-1,941968,-1,64187,-1,792708,626096,191915,575587,201847,15709,285966,983801,988383,-1,-1,-1,-1,-1,997141,897073,-1,41808,-1,-1,355378,-1,113286,835431,35689,261648,185808,633427,-1,193484,437061,-1,-1,448087,-1,146238,238491,-1,-1,308277,-1,767550,-1,897316,-1,-1,487422,302696,100457,205778,-1,445931,-1,863376,828688,333754,-1,-1,-1,-1,-1,23684,-1,-1,526563,-1,682975,257749,56038,859774,-1,-1,-1,-1,-1,-1,692651,458014,12979,295055,-1,-1,514313,361162,-1,-1,702808,904523,-1,251847,-1,397291,-1,355021,280237,803562,-1,566465,23108,-1,-1,-1,10838,509590,-1,-1,-1,4377,890905,16324,-1,-1,230775,-1,-1,168724,22112,676863,-1,499782,-1,19856,874764,678632,467194,143581,-1,-1,-1,105608,155574,-1,99715,-1,882066,70111,-1,-1,244794,251405,851419,-1,-1,97266,49015,-1,-1,669034,586276,-1,258702,318035,334315,-1,-1,-1,977152,577868,-1,-1,-1,-1,212971,-1,-1,676991,-1,111354,910005,-1,408657,-1,220772,-1,-1,980651,63396,-1,854986,559869,-1,-1,-1,-1,949770,-1,-1,988433,379232,-1,-1,-1,801680,804942,-1,785129,-1,-1,60551,-1,-1,-1,-1,88134,-1,-1,516343,601573,-1,537887,-1,-1,941852,-1,875603,-1,-1,-1,-1,182637,550801,-1,572675,391526,345517,57839,-1,-1,232902,-1,-1,55273,-1,310459,-1,109399,-1,-1,460283,-1,-1,252712,132684,-1,867396,99887,391779,678576,-1,919252,921108,-1,-1,730587,658794,702973,473992,403145,959430,-1,-1,720917,948966,581392,906645,441256,-1,-1,-1,728333,513447,226599,854365,-1,530885,-1,-1,-1,-1,536661,535393,-1,175555,-1,-1,-1,794052,-1,797373,798243,729020,133329,399583,901547,717641,-1,493739,-1,-1,-1,938474,346816,-1,252878,-1,392383,860647,-1,348409,-1,-1,-1,-1,662721,817978,-1,485187,-1,357442,599183,-1,-1,-1,-1,-1,84261,-1,177375,865863,865261,-1,-1,-1,470385,-1,-1,-1,-1,-1,-1,47594,-1,-1,-1,639679,61042,-1,368920,93753,-1,-1,-1,624445,765577,276142,194796,360566,-1,959325,627170,-1,444135,-1,-1,-1,-1,45352,-1,725704,-1,224288,491758,-1,827797,62510,-1,763876,835060,635294,-1,-1,-1,-1,-1,977805,-1,703544,284277,-1,-1,242977,45847,-1,825028,428322,578868,-1,-1,951977,-1,42681,3225,-1,727798,728046,654406,152583,45665,-1,235378,975435,562832,-1,-1,-1,534651,-1,309726,196639,467006,132008,835515,-1,-1,935888,612524,401472,155716,-1,57223,-1,917548,-1,767212,200874,950179,683510,596736,-1,-1,723401,590467,-1,568645,18537,912879,454741,362418,-1,-1,-1,677881,-1,90325,226745,-1,832133,370964,211093,608144,-1,-1,-1,39412,401104,-1,-1,573215,208220,781750,-1,785311,841281,-1,591599,719321,-1,550612,215838,-1,724764,-1,13505,533039,-1,114263,-1,155531,-1,-1,521041,-1,-1,188731,-1,477982,-1,921294,505691,-1,820040,225426,-1,-1,202304,499070,-1,-1,-1,-1,-1,128215,-1,728809,-1,-1,242343,-1,-1,-1,-1,670115,-1,310198,96444,694697,601551,-1,-1,664709,-1,824820,-1,629470,491273,-1,-1,573881,-1,527840,-1,-1,827014,686588,754356,-1,-1,-1,607490,-1,97710,637812,720126,928969,707935,-1,274733,126201,797062,-1,-1,697617,599234,538119,-1,388148,-1,283157,413332,509124,-1,-1,-1,990143,624247,-1,-1,-1,-1,677805,126583,-1,183879,902895,189369,405927,828516,-1,-1,567375,22077,-1,784635,295799,151088,-1,-1,126199,406948,118170,110207,-1,-1,-1,-1,367530,208061,443661,-1,-1,568569,35651,-1,97737,59567,859337,323105,666791,308364,769091,-1,523084,18977,60108,350498,570083,385505,190238,-1,564558,420389,382226,-1,234936,788397,-1,-1,6259,609318,-1,132997,998363,412770,-1,989099,720085,907549,-1,-1,-1,-1,-1,228321,928726,14886,-1,133215,181117,670644,1985,-1,-1,507162,660513,772611,-1,945725,-1,134013,-1,956384,460354,-1,536022,494915,-1,-1,-1,-1,106342,45037,-1,-1,805761,474691,-1,-1,-1,-1,-1,-1,-1,-1,461365,81536,879888,959732,-1,-1,-1,-1,304442,328618,-1,-1,-1,583871,-1,121411,219923,-1,-1,-1,663093,918486,-1,441907,-1,-1,550558,-1,663619,-1,-1,796783,788366,-1,-1,346201,-1,-1,823919,230712,158261,723054,401435,215312,726408,-1,484618,381708,-1,-1,-1,-1,-1,-1,826010,-1,-1,872833,-1,896162,233889,-1,-1,-1,893974,264460,-1,-1,-1,911412,588488,-1,-1,57992,551373,880649,931987,996165,-1,-1,-1,166953,308587,959886,235208,700781,159153,855299,40598,355583,-1,-1,-1,-1,389782,-1,-1,63266,-1,-1,805018,-1,626157,694089,15548,-1,224590,-1,280255,-1,481241,113972,252951,969137,904743,-1,691339,-1,105645,116576,361484,329278,423721,405010,468414,-1,-1,-1,-1,-1,400305,479535,921851,-1,685161,94649,614907,-1,244446,984093,784915,-1,224938,-1,796389,519691,-1,708962,-1,-1,-1,-1,-1,843695,182141,-1,-1,-1,-1,712527,-1,-1,-1,362849,613530,-1,-1,-1,81006,131198,961529,719782,706114,884857,-1,936399,-1,-1,-1,-1,-1,-1,340974,-1,355887,47259,759762,-1,22894,-1,822052,-1,318889,-1,833369,626254,909579,38583,-1,218671,928263,943778,-1,975621,-1,408006,213715,704997,-1,549421,-1,-1,238076,-1,301496,-1,201512,698893,-1,-1,32838,277185,332428,-1,-1,396564,-1,470422,-1,-1,-1,979344,-1,-1,-1,-1,208528,24323,922656,-1,-1,652713,773778,-1,-1,-1,-1,-1,75786,-1,708955,955057,924074,-1,315315,-1,-1,669826,546085,-1,-1,719560,430407,-1,-1,-1,-1,892187,-1,-1,670859,905598,-1,448482,-1,462182,101167,-1,417319,-1,974894,-1,-1,204104,981976,-1,-1,871163,-1,-1,-1,-1,-1,21524,-1,-1,-1,942840,230869,3754,267138,-1,446879,585244,-1,-1,-1,617052,-1,-1,-1,-1,-1,-1,568449,870022,-1,-1,-1,-1,458993,690158,-1,775353,-1,774902,-1,610554,807602,-1,470527,-1,-1,-1,855928,-1,52926,530931,376710,119866,-1,-1,678371,-1,-1,59760,302954,897086,518004,-1,-1,-1,381529,305928,-1,-1,-1,59170,-1,182814,-1,343659,-1,985143,-1,847086,970308,-1,559433,-1,-1,482336,260180,904823,660520,-1,4785,118629,151300,-1,-1,249316,307663,-1,-1,139092,-1,-1,-1,695960,148530,-1,-1,36144,360296,498868,-1,116595,-1,-1,521321,310716,-1,785198,278523,150530,54975,-1,-1,-1,-1,905004,-1,-1,880290,-1,643618,281170,-1,-1,306693,377254,507980,780576,-1,135089,808529,-1,57981,-1,-1,-1,369080,237035,-1,-1,-1,590091,124642,551132,108820,-1,535058,984996,494561,-1,80159,-1,833027,854915,775995,-1,-1,-1,104358,501713,884151,85915,-1,-1,-1,697292,-1,-1,-1,-1,-1,854167,-1,516050,-1,286462,-1,-1,426920,-1,226000,895771,985786,-1,182894,827430,149431,-1,-1,917831,876280,-1,-1,-1,-1,-1,-1,475575,-1,-1,-1,-1,213134,567766,901824,-1,-1,-1,39807,494009,-1,373262,317016,659377,257638,688758,749916,-1,-1,-1,875212,-1,446635,-1,735938,-1,-1,-1,-1,345551,-1,-1,883385,777906,-1,656178,248182,992302,948639,-1,412420,-1,-1,-1,-1,-1,-1,-1,171244,899545,-1,-1,492561,809520,516161,632153,539763,8274,-1,-1,583636,438413,-1,-1,724041,616889,686397,-1,410788,57970,446383,-1,-1,322586,-1,-1,-1,795632,-1,335944,723457,-1,697126,-1,-1,43028,-1,628931,-1,-1,-1,809602,-1,-1,-1,-1,-1,712325,186105,-1,970013,-1,-1,959974,-1,245825,788494,180887,-1,736026,-1,-1,-1,493025,-1,-1,844928,-1,530072,443821,-1,582817,-1,649912,-1,-1,-1,860001,-1,-1,38469,955542,-1,986845,-1,590568,-1,628176,-1,992162,752101,285395,652770,724099,608940,-1,449695,-1,-1,-1,676719,249270,-1,683031,-1,174742,-1,988162,184504,-1,-1,686847,-1,-1,-1,159758,-1,862236,-1,642720,319747,-1,-1,131371,511510,389117,-1,104223,-1,327147,-1,-1,-1,-1,190624,-1,897447,-1,-1,-1,529503,-1,-1,567599,976123,997438,-1,-1,215348,-1,685794,253892,-1,-1,979001,-1,506314,-1,-1,283487,61239,617034,694973,415048,241365,567883,-1,509870,130140,-1,-1,376272,13720,630633,114681,-1,-1,-1,-1,-1,728056,-1,433506,580286,-1,343309,-1,915082,792880,-1,-1,-1,153231,334557,446739,664188,940957,-1,110450,862551,164004,-1,40090,-1,279020,-1,490147,-1,-1,44112,-1,-1,894118,-1,-1,-1,-1,863660,219461,-1,-1,-1,-1,-1,-1,-1,886052,-1,-1,-1,331598,-1,-1,-1,-1,713590,669332,670834,-1,505778,-1,859279,810144,-1,534905,-1,367152,-1,735674,443367,60351,-1,-1,771755,-1,-1,-1,59884,852283,-1,-1,610273,76504,162752,671076,-1,792787,-1,-1,29154,-1,-1,245271,-1,-1,-1,-1,668710,492193,985960,980474,809633,877102,-1,590242,626817,-1,-1,-1,-1,-1,-1,595321,396057,-1,-1,363717,124897,260181,335456,918573,136743,-1,-1,-1,28389,398200,177796,-1,-1,159050,373247,-1,-1,-1,668430,-1,38070,-1,-1,-1,-1,431655,718973,-1,-1,-1,-1,463895,751167,118899,-1,180166,-1,-1,-1,147967,-1,-1,-1,284740,43258,619788,-1,-1,-1,-1,788096,307932,-1,-1,865490,-1,-1,-1,-1,733175,855294,-1,109603,-1,980244,850015,660155,-1,257908,366283,447895,720781,-1,578903,-1,-1,37280,386319,854092,359892,-1,433741,-1,-1,-1,687847,945598,-1,-1,815315,-1,170698,290779,-1,-1,-1,-1,-1,-1,159245,-1,-1,21760,308072,-1,734822,256923,-1,352996,-1,-1,837175,-1,-1,-1,166174,756185,-1,-1,415092,-1,890807,-1,654462,-1,-1,235302,901644,-1,374993,-1,648435,-1,-1,501179,752909,-1,-1,-1,-1,762976,-1,666358,271482,-1,389978,618572,743549,-1,802287,420206,-1,425086,523361,291382,-1,498528,526188,-1,23179,-1,-1,-1,557229,-1,89672,-1,278294,-1,529452,-1,88155,-1,-1,14692,-1,-1,-1,342940,626001,-1,-1,510036,161086,195776,-1,-1,325328,543233,-1,-1,-1,-1,385205,-1,-1,-1,153374,-1,729070,-1,-1,-1,740077,-1,303714,-1,442245,-1,606068,426522,235713,318245,901468,261811,-1,420084,215030,83503,862253,-1,-1,-1,-1,831528,-1,-1,975623,92633,614698,-1,-1,767749,-1,567474,950956,-1,595578,-1,502995,-1,31995,871770,147148,-1,-1,780415,894068,-1,-1,920364,103611,212376,517308,549808,-1,222189,111224,295468,747916,-1,-1,852858,-1,356089,149784,820201,-1,994394,-1,-1,749652,-1,-1,224031,-1,-1,702871,-1,-1,-1,399895,773344,497166,175877,-1,-1,213040,328950,-1,224033,-1,189408,804946,50169,143648,915836,69552,216323,-1,152016,-1,-1,-1,-1,-1,121521,808258,-1,-1,163038,-1,433804,-1,344788,260924,226531,-1,526228,300522,889459,-1,-1,292928,145379,-1,-1,-1,97780,-1,-1,576015,839281,692143,-1,-1,338859,508676,-1,593309,318821,-1,766476,-1,-1,-1,100729,-1,473932,985694,-1,-1,251831,985238,-1,-1,247118,169167,-1,-1,605784,289670,406796,437999,881065,832268,-1,-1,199985,848003,-1,-1,197603,-1,495313,-1,531300,611781,325080,-1,820314,616124,-1,-1,-1,-1,168889,-1,886485,-1,177806,-1,-1,-1,770660,-1,-1,-1,92096,987933,622833,767636,-1,920762,774242,133886,547502,-1,386846,71954,-1,928848,-1,-1,602760,-1,87885,393867,-1,78484,-1,-1,-1,124397,-1,967472,-1,767285,-1,134851,-1,-1,-1,557131,-1,-1,-1,902979,-1,504347,685291,564967,617373,409668,-1,910923,-1,910269,259258,-1,425794,-1,-1,285611,996929,402559,585719,554667,-1,-1,321983,-1,-1,-1,623142,-1,336447,-1,-1,-1,789645,769066,-1,897101,-1,14289,615204,807268,-1,-1,-1,-1,-1,-1,949137,318458,-1,-1,-1,822786,560052,-1,95449,761947,-1,485425,-1,666739,-1,485087,709442,402381,795859,926937,-1,73179,-1,861770,-1,479847,592656,-1,639676,330052,-1,270794,640637,219668,-1,26699,894546,320899,213955,-1,-1,-1,158705,-1,209661,334573,705015,-1,174374,-1,-1,156953,756244,104714,-1,89890,931917,932340,671097,169749,373760,-1,875383,-1,-1,639157,730336,-1,327735,123365,-1,-1,909851,-1,728947,-1,-1,-1,413425,158809,-1,10760,620569,873583,409978,748999,-1,171832,-1,667523,816031,443427,-1,118285,276836,460611,-1,-1,385697,-1,671676,-1,187734,544116,-1,180762,-1,-1,-1,-1,268444,705925,917398,-1,62504,615750,322816,-1,641705,-1,-1,-1,-1,300529,885731,-1,972652,-1,-1,66608,-1,71300,-1,-1,945158,443712,-1,431270,-1,757410,728694,908739,751362,622045,722973,-1,-1,-1,819846,123852,983354,-1,721613,-1,689343,-1,-1,-1,-1,-1,-1,-1,298484,-1,39935,269542,772172,-1,-1,-1,537080,607948,700535,540863,-1,443733,719319,344642,-1,-1,661967,367271,327606,563145,406537,-1,-1,-1,-1,-1,519322,-1,13726,-1,-1,-1,-1,893337,72099,-1,18158,932148,-1,-1,-1,-1,-1,223256,-1,428761,-1,975355,-1,-1,-1,-1,974518,707682,-1,-1,-1,-1,901554,22389,713023,527495,848464,-1,-1,476861,-1,-1,233338,779401,595106,-1,-1,69381,555378,798722,775222,-1,775846,341280,477941,-1,-1,425466,270720,-1,545434,-1,450232,829203,861110,408554,696335,44609,-1,961027,76436,826426,925879,272037,-1,-1,-1,-1,-1,-1,-1,322309,-1,-1,-1,820178,540807,-1,734172,124573,419198,-1,466811,427325,603540,-1,-1,-1,943137,438584,939905,-1,921506,-1,797381,989822,-1,-1,718367,-1,-1,304776,309830,750249,106542,-1,-1,-1,451340,447659,86684,-1,-1,-1,-1,-1,-1,983503,-1,379159,394351,-1,-1,612318,-1,590815,-1,49133,913116,-1,469727,-1,25084,-1,-1,-1,-1,953737,122590,-1,-1,-1,-1,-1,-1,41312,739648,381241,-1,-1,781506,152474,932347,765210,448553,75289,-1,-1,-1,958858,767911,975828,-1,-1,-1,-1,-1,-1,-1,-1,-1,26158,-1,-1,29956,523414,-1,229051,583603,-1,853438,719273,-1,-1,-1,-1,-1,912527,-1,-1,51102,389222,-1,330727,-1,-1,548239,-1,-1,-1,940486,324504,-1,464752,-1,787948,357549,-1,45316,925972,-1,976043,260809,-1,-1,521567,-1,105305,-1,-1,330692,668342,-1,53926,-1,-1,-1,479237,-1,-1,-1,-1,-1,-1,-1,-1,172418,179818,655293,344807,365320,40190,959174,522778,778001,-1,975254,-1,-1,-1,953721,409405,559251,-1,-1,-1,-1,14491,-1,-1,706073,-1,249854,109454,176012,-1,353008,351972,-1,524252,-1,-1,-1,187364,-1,-1,-1,-1,-1,-1,223802,-1,-1,-1,-1,-1,-1,410544,252831,48999,-1,-1,173154,5125,630302,-1,-1,174575,553231,840499,924790,-1,-1,-1,129337,955032,130519,-1,643256,-1,379603,995629,-1,-1,-1,562750,664390,-1,578983,82867,17374,116017,-1,-1,25164,526883,-1,381651,-1,22429,-1,-1,-1,-1,-1,540128,-1,225234,-1,359666,553877,-1,722559,517080,-1,69463,516365,997902,-1,-1,-1,117492,-1,422744,126954,29508,-1,293913,-1,-1,-1,433377,379246,-1,372401,882476,857761,-1,-1,179405,-1,-1,-1,-1,589168,-1,606226,766195,-1,61151,-1,-1,-1,505963,41632,156436,-1,916083,-1,-1,-1,321387,-1,942995,775907,-1,662460,99152,432886,446058,-1,-1,-1,-1,264751,333540,634358,-1,-1,-1,-1,-1,576224,-1,512104,848634,452973,828419,886082,-1,-1,-1,-1,-1,-1,392601,-1,242404,93762,-1,935493,194637,-1,-1,-1,-1,980515,-1,818460,-1,928919,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,328729,-1,571227,-1,-1,550307,691980,383057,944789,-1,-1,846400,499267,677808,220391,-1,-1,54733,-1,-1,-1,745179,-1,-1,314512,999162,692009,523296,516795,663579,-1,-1,467207,243808,218990,-1,-1,-1,359056,373639,-1,846611,-1,-1,-1,-1,-1,930064,509528,841328,275377,416580,-1,-1,-1,726608,75428,346654,-1,361743,744938,-1,-1,485329,-1,-1,-1,-1,62325,-1,-1,-1,985619,-1,-1,686966,12489,-1,-1,677066,-1,-1,-1,379405,88229,30112,-1,777800,-1,999135,-1,30910,-1,490689,-1,480295,799248,245787,569239,619010,-1,-1,460512,944241,270204,-1,730476,-1,-1,-1,520447,450867,865841,-1,425736,-1,610980,-1,995281,-1,-1,218286,801864,-1,-1,733101,86546,-1,680258,-1,270779,-1,657032,964805,-1,43629,200756,551748,878554,140753,770793,236486,-1,880773,-1,-1,-1,-1,241523,914303,654416,100064,204518,468734,815553,86989,158633,739190,-1,-1,-1,-1,828325,-1,451539,668166,685909,-1,-1,-1,-1,-1,729960,89667,261343,-1,-1,-1,-1,561846,713791,683970,164928,827287,-1,167875,427975,-1,-1,980797,725258,-1,824710,62825,-1,-1,271221,260484,-1,721954,492649,-1,-1,10374,-1,632929,-1,841879,-1,680303,-1,113072,-1,275759,521977,432302,-1,-1,310683,18142,-1,559300,491651,53543,239564,925365,-1,369022,939623,-1,-1,-1,-1,-1,249328,888458,-1,-1,-1,892166,349154,-1,871874,403907,-1,753775,-1,698754,814192,-1,-1,-1,-1,314063,299777,512539,140732,-1,809549,750434,-1,181351,694735,869930,-1,-1,-1,-1,305834,-1,383565,-1,662412,864172,-1,258003,-1,-1,-1,13738,959697,126558,483031,-1,872499,214975,-1,261859,-1,631088,-1,413579,-1,-1,-1,546599,-1,637320,561902,-1,741215,-1,9809,19645,626239,-1,-1,-1,-1,-1,-1,-1,30496,927877,-1,-1,295313,-1,107331,-1,-1,493771,-1,968775,77366,-1,436679,611384,938612,561682,749577,-1,-1,-1,538588,-1,721484,-1,436034,43959,593006,-1,536600,900273,955860,-1,-1,588433,-1,-1,-1,504021,-1,-1,-1,886069,173610,161531,405377,-1,-1,-1,678303,392582,289889,-1,-1,697454,-1,487809,851229,128043,800067,-1,-1,336391,813928,653852,-1,-1,-1,-1,240392,-1,-1,-1,165356,-1,134406,-1,461307,190436,-1,-1,-1,198764,576005,-1,-1,-1,35275,253051,345756,-1,-1,410835,953055,-1,-1,-1,794799,681407,-1,-1,-1,-1,242943,-1,-1,-1,-1,-1,-1,-1,582867,-1,-1,-1,143400,304732,-1,502161,-1,54205,346518,-1,286544,-1,188354,438132,-1,103907,-1,-1,-1,-1,-1,-1,-1,-1,985478,-1,-1,894090,-1,639649,910815,250790,-1,-1,416159,-1,-1,322279,792231,315222,-1,-1,-1,145343,419292,777918,-1,591772,261804,547166,-1,492603,739254,-1,719964,-1,-1,569512,-1,-1,-1,634376,949483,-1,640565,-1,-1,-1,-1,-1,-1,-1,732374,-1,-1,903325,796707,-1,843052,-1,-1,81380,-1,803662,843158,602299,931945,-1,-1,-1,150623,-1,-1,54112,26608,188202,247172,233128,-1,-1,194700,52455,-1,459896,674300,948731,-1,944040,256384,395126,736903,256121,72021,-1,310164,-1,50843,-1,920033,335996,324389,886309,826974,742715,-1,-1,-1,-1,-1,609193,-1,850977,-1,-1,307667,778607,818213,-1,982460,607050,456225,812049,455872,335398,89390,-1,-1,572198,280738,295512,776475,-1,-1,243281,857661,283863,717888,-1,799016,120087,989925,-1,-1,-1,608031,950873,918317,718434,465772,778810,993524,990714,191916,86394,379626,-1,-1,-1,629826,441664,738674,747749,-1,246790,17082,919589,-1,-1,-1,-1,656752,945531,333066,735845,832477,709681,-1,-1,59140,92982,82800,-1,393559,26012,-1,-1,-1,511261,-1,418449,187443,-1,38437,-1,-1,655099,-1,-1,-1,-1,-1,292970,367127,138980,-1,284987,355764,11322,64404,675264,170177,-1,472529,-1,-1,-1,-1,308992,876727,-1,585690,-1,-1,-1,-1,480444,-1,-1,437202,-1,-1,327671,969319,-1,204766,787940,490767,-1,-1,204853,-1,-1,883469,386150,-1,26488,103495,713101,-1,376580,-1,295951,-1,-1,117355,524332,-1,-1,-1,746829,-1,71390,-1,147295,-1,820129,254523,244688,-1,581309,-1,521403,-1,-1,-1,121475,-1,-1,-1,922141,-1,851076,-1,-1,-1,885857,836677,-1,355098,-1,-1,-1,27558,60622,-1,-1,-1,526168,-1,-1,-1,-1,743236,-1,-1,675659,179973,227180,247673,-1,-1,283377,-1,-1,879529,486510,-1,409470,-1,518103,-1,-1,-1,298291,545582,479058,-1,252328,663860,51279,753224,819679,-1,-1,-1,-1,-1,666465,-1,92416,-1,-1,-1,-1,-1,22435,-1,-1,-1,609411,-1,924861,-1,-1,-1,-1,968563,165212,926995,954123,-1,-1,106719,599198,-1,536908,-1,805339,-1,-1,240045,407223,330295,-1,776048,548213,346297,-1,257294,57720,369390,148364,-1,710223,-1,926334,-1,-1,330539,35101,884369,28299,-1,354899,809609,187747,861933,-1,123616,896157,-1,634103,396009,84218,111900,-1,-1,766844,-1,-1,125962,-1,-1,998981,-1,925112,234282,-1,-1,-1,-1,-1,338450,-1,-1,-1,421349,628894,-1,580091,-1,-1,-1,-1,-1,-1,125241,831344,-1,65408,-1,433577,-1,-1,73719,281840,519093,271744,-1,-1,184072,498874,539230,829507,710103,686665,-1,989169,95358,239059,422222,-1,-1,93148,493472,-1,179620,-1,803959,490920,-1,-1,-1,152404,160418,126468,-1,-1,-1,139317,901778,213231,-1,70947,714988,-1,-1,6126,778450,432562,-1,801492,-1,-1,124895,-1,-1,-1,963347,-1,667695,-1,49848,-1,-1,849099,276223,811849,-1,742668,-1,-1,-1,-1,-1,-1,394079,38940,-1,184480,836853,11716,312486,-1,-1,463066,723201,-1,-1,374104,107466,419824,893834,407516,513151,645845,365669,-1,443347,163836,-1,-1,-1,-1,300634,-1,240063,565099,-1,971873,-1,-1,-1,-1,-1,-1,-1,889253,-1,968620,-1,-1,-1,-1,204367,198521,910962,-1,-1,-1,840086,71645,510229,447192,-1,140378,-1,805916,-1,-1,-1,-1,-1,120919,-1,104950,-1,667834,-1,898879,-1,186078,732681,-1,-1,-1,-1,-1,-1,144798,706743,96417,-1,-1,924377,826224,928137,-1,778177,-1,263841,590174,472699,733682,753570,-1,-1,737865,598307,902286,192224,-1,234547,-1,-1,36223,-1,-1,690688,904400,819014,834168,-1,-1,414648,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,353495,-1,846612,457687,-1,961094,763348,330578,-1,982268,311155,978845,99185,-1,631545,-1,-1,-1,-1,58141,-1,-1,-1,393711,-1,-1,-1,-1,662683,547687,778893,-1,-1,-1,-1,-1,-1,184808,-1,75474,-1,-1,898913,67107,-1,219029,425497,-1,437642,467098,-1,-1,-1,359180,-1,376794,16464,267328,645731,-1,-1,-1,-1,-1,-1,-1,801486,469060,323950,153427,-1,-1,-1,-1,453535,90654,-1,94192,-1,-1,475847,62621,-1,-1,-1,-1,4010,-1,-1,751729,-1,45086,-1,317071,970515,937242,215036,-1,-1,-1,-1,-1,-1,141856,909757,-1,-1,932940,-1,598106,192247,-1,315019,302860,-1,-1,573476,-1,882542,-1,100736,-1,881490,-1,506543,203473,351209,-1,358118,66768,-1,-1,-1,-1,-1,16745,-1,735824,361189,-1,-1,-1,787151,889566,91403,644912,-1,-1,-1,561748,-1,334851,7610,897212,184426,-1,620608,551577,-1,237144,263041,-1,-1,496393,10955,116832,717922,-1,-1,744646,-1,-1,398357,496359,50642,-1,-1,900880,167603,-1,748817,-1,-1,114461,861716,474830,837005,-1,23208,170055,-1,820277,406055,917480,-1,121100,365483,-1,-1,249959,57408,154697,439818,714503,-1,878949,-1,-1,887022,985181,993466,-1,969775,474142,673978,-1,-1,472315,-1,-1,402222,178963,413540,-1,217500,628263,348906,423303,996900,255760,429478,640464,-1,262964,-1,309519,-1,-1,-1,-1,566389,-1,-1,308688,317309,449704,-1,732123,95436,-1,848218,150354,295513,794156,995239,863913,-1,505143,850681,-1,-1,-1,-1,-1,134869,-1,855042,576342,-1,802898,-1,650222,523235,-1,-1,-1,-1,866181,-1,857876,-1,-1,44653,466545,-1,-1,429456,809964,-1,-1,684180,420378,-1,-1,-1,493505,-1,-1,752939,-1,934956,512728,821912,-1,-1,-1,711960,-1,-1,-1,-1,-1,-1,-1,-1,648175,46077,-1,-1,-1,347522,-1,-1,-1,595340,798119,-1,669033,-1,-1,153090,250901,-1,316069,865619,-1,430363,-1,-1,-1,473205,974659,-1,561529,646328,454147,-1,-1,249053,299784,491197,41855,502034,320004,557159,117490,-1,276792,408232,774846,23666,525909,129845,-1,524857,539369,40391,938574,-1,256664,-1,796161,397154,-1,-1,678334,-1,-1,606121,362373,146819,-1,673671,403732,899241,681636,-1,106672,-1,72355,-1,-1,632463,293981,-1,204146,109060,-1,-1,-1,-1,-1,-1,-1,873431,-1,-1,109826,-1,80234,-1,-1,489818,420615,-1,673224,670299,571694,327712,971116,895333,-1,-1,-1,-1,492325,755798,-1,373463,653419,297909,786236,-1,486838,-1,-1,-1,675379,-1,772898,-1,210180,99395,381124,-1,-1,775015,4912,151286,733909,-1,-1,366393,141831,95255,454731,29131,-1,948991,543121,372902,-1,726643,-1,610196,-1,731964,-1,-1,242922,546145,-1,-1,-1,-1,-1,-1,383233,614688,-1,800104,63372,55453,182116,164125,-1,-1,152179,765385,-1,-1,290616,528583,-1,-1,641152,158183,-1,585814,613097,-1,348041,-1,510946,957212,72747,-1,-1,-1,698676,-1,407742,535591,-1,150787,26312,-1,279423,66859,753074,961909,-1,724064,-1,405729,197499,-1,64258,-1,-1,-1,28170,248097,978351,77729,-1,621436,223735,-1,-1,789714,437046,-1,595107,-1,607497,113187,639522,184542,975683,854235,585095,340308,-1,24971,-1,-1,469893,826033,-1,357220,706084,389617,732006,719275,-1,-1,172926,869008,151788,-1,-1,-1,-1,15662,-1,464378,508544,286826,954440,725642,-1,785820,-1,728382,210896,312543,-1,-1,31633,789319,-1,923287,-1,-1,-1,-1,-1,-1,362474,769074,-1,-1,371868,432748,-1,591387,-1,371896,-1,-1,-1,-1,470296,883941,82476,-1,-1,-1,-1,-1,-1,-1,-1,-1,411663,-1,-1,-1,701992,207860,-1,-1,-1,260592,-1,271107,-1,698678,348523,357790,794531,933619,597641,-1,337977,775094,-1,-1,-1,822611,404994,994836,663712,-1,961568,-1,-1,856747,374228,-1,397161,-1,-1,528945,524802,589563,-1,-1,929499,-1,348826,-1,-1,-1,-1,-1,-1,201452,14354,-1,-1,-1,-1,-1,715489,583517,-1,-1,-1,626562,-1,-1,-1,-1,59752,-1,-1,575525,479926,-1,195390,-1,787628,362362,16949,-1,422014,-1,734389,-1,-1,419892,632556,191763,-1,-1,-1,494484,-1,-1,960362,79209,679348,-1,-1,-1,-1,493716,-1,882954,417703,-1,-1,-1,-1,607131,898632,-1,-1,-1,-1,-1,-1,-1,468299,982334,629706,-1,287447,897618,835425,-1,90424,-1,54617,-1,-1,-1,238239,-1,509458,391100,-1,898137,-1,533913,104562,-1,-1,803482,-1,-1,19441,307624,489723,-1,-1,-1,154464,673412,971044,85680,-1,-1,-1,-1,709080,-1,270129,-1,202753,639471,-1,537823,136615,136235,-1,663301,851552,20874,176837,-1,22326,-1,17580,-1,-1,-1,-1,401223,417986,785690,434958,532705,-1,930471,908484,-1,-1,718291,670732,947221,470792,-1,-1,-1,-1,456703,897973,-1,426609,940057,-1,-1,869691,505866,-1,-1,-1,-1,335381,182194,-1,-1,-1,230157,-1,106788,344184,393741,-1,672547,-1,-1,810590,71450,-1,771551,-1,517244,753532,224963,127155,877738,-1,654,752109,242268,-1,969297,-1,-1,-1,-1,758757,-1,-1,279216,-1,285168,-1,-1,-1,747777,-1,684230,447435,168980,-1,-1,593709,692723,517117,-1,970936,-1,-1,351829,-1,-1,-1,-1,-1,802192,316864,-1,-1,959385,-1,-1,-1,925126,-1,-1,-1,-1,-1,873849,534127,-1,503952,-1,-1,849035,344731,-1,757658,-1,-1,-1,708806,338249,982436,745818,-1,-1,-1,432444,334216,865082,596667,-1,785137,813107,279102,-1,-1,124558,-1,-1,-1,-1,-1,-1,-1,-1,-1,327581,-1,447830,997630,418125,452245,586261,-1,-1,-1,-1,-1,399715,-1,-1,-1,730993,151825,669785,873557,-1,-1,889347,229171,-1,994253,14333,12352,-1,484869,533057,-1,-1,-1,-1,-1,161964,-1,-1,-1,-1,-1,-1,-1,623062,-1,692905,-1,256711,527308,193257,-1,-1,-1,-1,468630,288739,-1,-1,-1,-1,287847,-1,91141,-1,759411,-1,658563,-1,-1,-1,-1,-1,-1,999794,-1,-1,523797,136529,-1,-1,-1,666475,187544,664676,898678,681848,-1,470078,-1,-1,785556,-1,857047,303409,-1,-1,508200,501455,-1,-1,721215,-1,-1,624395,-1,446653,486014,574804,-1,-1,-1,-1,687757,-1,806262,455538,-1,740532,484540,340167,-1,-1,-1,839286,-1,671589,92404,473630,-1,51028,160736,276933,807633,439429,-1,-1,-1,-1,592076,266641,-1,255798,538030,-1,-1,-1,22888,-1,539796,-1,732401,590491,541343,-1,-1,503357,-1,543571,839806,206162,-1,-1,-1,-1,863055,-1,239978,-1,-1,-1,948968,-1,-1,837569,114257,405820,-1,416916,-1,-1,-1,-1,458521,660114,-1,930331,-1,463338,-1,428163,6131,-1,-1,-1,778585,-1,648702,318343,486451,920005,-1,197352,-1,7010,-1,-1,627275,-1,650650,-1,-1,306336,-1,-1,-1,-1,-1,-1,-1,215702,-1,-1,-1,474399,151356,-1,-1,-1,-1,971661,255515,-1,-1,214895,628359,-1,-1,18776,692266,-1,839183,157231,758321,749915,150598,-1,-1,473726,-1,-1,-1,-1,247110,618039,483532,996653,563504,-1,644086,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,227007,920848,629260,-1,761180,-1,470761,968509,701115,-1,-1,572272,118485,-1,388767,-1,531084,566015,108091,790616,366258,-1,-1,462095,-1,894299,-1,89328,521282,517044,666680,-1,395583,-1,988123,-1,781293,381168,-1,-1,645718,606676,802127,373456,724339,-1,-1,945038,-1,-1,-1,-1,8395,-1,337673,893766,883080,-1,671492,529063,-1,-1,62960,611212,-1,-1,667791,-1,-1,-1,-1,214919,-1,-1,745993,-1,34717,-1,-1,612818,22170,-1,683865,628092,-1,456587,-1,593479,-1,-1,-1,-1,-1,-1,946428,821311,-1,324087,559543,-1,701567,8092,99247,-1,-1,-1,57646,848636,828545,137727,-1,-1,-1,-1,109565,-1,473129,53900,488017,-1,195295,915581,679788,-1,-1,780342,448215,617322,867593,-1,392119,-1,-1,-1,145286,-1,-1,495586,-1,-1,961629,-1,-1,-1,-1,-1,882837,-1,437228,143708,352729,-1,379342,911343,70780,232173,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,732078,-1,-1,604028,820653,-1,110115,667228,-1,-1,736003,-1,797914,168540,-1,801566,102954,415209,672829,383534,871738,-1,645357,869355,315242,-1,148605,384159,146423,-1,207619,494956,-1,819601,38376,-1,-1,-1,236029,842266,-1,-1,-1,491457,-1,-1,987545,-1,657028,-1,940819,868130,-1,-1,-1,835296,488943,377684,-1,-1,-1,-1,-1,-1,-1,-1,245790,271991,687675,361729,829582,-1,124746,-1,763651,487189,-1,-1,547302,-1,-1,669064,36070,492353,-1,101104,350503,798824,312123,-1,362455,426053,-1,-1,-1,-1,-1,261514,56425,-1,-1,-1,233350,507681,762449,-1,-1,-1,692196,-1,-1,875293,-1,-1,-1,-1,-1,250720,791178,628471,377112,288922,69655,-1,-1,-1,299038,-1,975678,-1,-1,-1,-1,186692,739471,139902,106837,-1,-1,-1,77566,820410,303885,-1,136271,271359,658890,674863,441820,553725,-1,-1,-1,36765,594727,-1,-1,731399,-1,-1,-1,360440,-1,486971,187971,912076,-1,971173,-1,362560,591188,-1,317825,-1,-1,-1,968051,-1,327990,144699,-1,-1,998332,-1,-1,-1,-1,849341,337223,229783,629379,678353,-1,152178,-1,645593,268429,-1,364363,886992,-1,913476,-1,-1,-1,-1,692720,-1,321901,787705,-1,189114,167978,66324,-1,-1,-1,-1,-1,-1,675828,-1,276487,-1,-1,579856,-1,-1,836425,-1,775767,-1,-1,-1,489087,-1,-1,540339,505067,-1,45879,764114,-1,-1,638655,-1,-1,786382,504511,256693,-1,200550,516142,-1,-1,-1,-1,823727,731301,-1,-1,379832,8319,-1,-1,923403,606643,-1,416684,806780,-1,-1,940122,474970,482272,463009,988258,152949,-1,-1,603517,789558,-1,-1,-1,-1,539190,-1,813751,-1,223030,630252,-1,321572,15853,363010,143972,-1,-1,78434,711988,696756,989748,654604,-1,-1,-1,832400,121578,406970,-1,926542,-1,380154,839450,516863,-1,978884,621427,60120,-1,-1,-1,672818,829941,-1,-1,692849,-1,549043,632465,-1,-1,-1,-1,899369,292,219772,521912,-1,-1,-1,409251,-1,392213,-1,38765,294974,469331,-1,-1,61165,-1,718428,-1,631025,-1,-1,-1,957433,264473,-1,-1,839865,672321,-1,-1,-1,766710,-1,645113,172447,657106,-1,302652,-1,592194,755010,520969,247803,-1,-1,-1,-1,451729,-1,878594,-1,308,-1,-1,553178,-1,387106,-1,-1,925916,519505,-1,-1,145378,444165,412306,-1,686768,-1,-1,-1,861187,707350,-1,23732,345000,-1,-1,39532,-1,320302,-1,-1,823285,-1,-1,-1,-1,-1,78233,502982,-1,158699,189739,635860,-1,-1,-1,-1,-1,-1,13651,-1,-1,-1,937580,439065,-1,-1,-1,-1,513508,-1,538714,942518,-1,-1,-1,-1,619957,-1,-1,-1,317331,-1,701770,715124,815130,115610,-1,-1,536118,330010,799280,-1,-1,-1,892151,159461,57112,-1,509857,-1,831957,816564,427046,592816,-1,-1,256587,626753,-1,989604,-1,-1,348863,514119,-1,73001,736015,-1,123916,792631,945210,-1,-1,-1,-1,876696,401618,-1,-1,-1,-1,-1,990472,950880,-1,-1,-1,-1,-1,-1,392203,11570,598280,-1,-1,847966,-1,-1,-1,-1,-1,-1,-1,-1,558635,-1,-1,660666,-1,881036,782969,977045,701173,251648,252156,-1,-1,-1,-1,-1,883386,-1,-1,-1,950184,208705,636544,-1,870856,-1,-1,765465,350403,970226,214253,-1,91124,206287,-1,164868,-1,814,-1,-1,-1,900353,58119,-1,695966,11932,-1,561617,-1,-1,476017,62468,378915,29703,30752,-1,199085,404550,115933,-1,-1,-1,-1,145572,36230,55554,-1,230253,-1,-1,950617,-1,-1,853944,-1,349827,798828,477872,775641,-1,967455,-1,772003,76169,632688,20361,-1,336696,445522,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,293816,332358,-1,-1,273404,-1,-1,-1,348999,-1,592486,355893,-1,804221,164315,508498,-1,-1,147002,627723,153765,-1,863155,623167,370018,611588,812064,-1,25898,-1,-1,896226,323329,-1,-1,629586,-1,820193,403807,857027,220582,404295,-1,-1,-1,866859,-1,-1,538776,-1,550459,-1,-1,-1,-1,954795,-1,-1,388914,484348,62213,573870,491146,290219,-1,-1,122241,-1,189397,886251,-1,150170,95573,-1,384096,-1,-1,376165,-1,950511,-1,-1,383778,980035,-1,-1,496991,-1,704562,452195,64703,-1,-1,-1,-1,-1,450614,712863,675616,-1,-1,316583,-1,568614,689054,676392,-1,919669,-1,400279,631144,437393,-1,-1,245250,-1,855115,-1,465788,-1,-1,653819,-1,-1,735990,-1,-1,-1,-1,-1,602447,473006,778230,721387,-1,227621,218825,-1,485022,-1,250587,-1,-1,310923,-1,-1,-1,819001,18293,787670,486353,818596,-1,583066,-1,761192,-1,-1,-1,611376,522047,-1,-1,109877,406180,133028,798405,-1,611482,-1,145694,-1,-1,989331,-1,763987,-1,92137,848501,247621,-1,-1,397167,-1,20308,-1,79735,-1,-1,-1,-1,-1,702704,-1,-1,-1,387892,836727,-1,-1,-1,-1,-1,-1,947043,-1,667124,757856,-1,795404,-1,489709,-1,-1,976402,490488,255637,906355,660926,-1,328907,-1,802253,909760,-1,988684,657047,729049,285322,-1,-1,-1,618467,-1,1491,-1,-1,-1,-1,-1,606239,88790,689007,669988,404634,-1,-1,-1,-1,-1,-1,-1,858446,62195,-1,-1,644254,-1,828434,-1,686150,517073,-1,-1,-1,232323,-1,-1,-1,269535,805734,258974,404367,-1,-1,-1,-1,652677,-1,428719,945228,-1,-1,622113,896286,60964,-1,-1,221336,-1,365610,858670,617264,-1,-1,-1,-1,-1,113409,526383,762889,222793,-1,490594,-1,-1,-1,-1,-1,-1,-1,578897,703925,93307,90776,-1,890077,192555,113758,-1,505927,207285,-1,554071,72550,737334,841739,829221,975317,321043,-1,162036,528927,733967,300841,-1,515435,-1,-1,-1,-1,12811,882239,305197,-1,-1,177258,583927,-1,85075,-1,-1,-1,936948,-1,-1,361558,435123,503138,126681,964959,901141,-1,488696,-1,150543,903572,889448,861287,-1,-1,-1,744184,-1,930148,697345,-1,-1,628165,864022,378253,947886,185441,197951,71374,-1,-1,-1,547646,811005,-1,721156,666340,173825,-1,-1,-1,717726,-1,866810,-1,826230,868983,790384,-1,329387,-1,315409,-1,998228,-1,53220,-1,-1,350448,795855,-1,-1,891631,597545,790142,-1,832198,514614,-1,-1,-1,224566,-1,383640,731524,-1,406411,128968,-1,23185,-1,949359,633046,-1,-1,-1,-1,-1,-1,338404,768995,858024,-1,-1,489308,-1,116409,811257,-1,219434,569085,-1,-1,-1,564080,749011,-1,524244,-1,-1,-1,-1,482786,950330,-1,166214,-1,475234,-1,-1,-1,302179,25639,274432,-1,807068,-1,161348,859097,-1,113157,35482,145982,-1,-1,-1,-1,793104,931425,411913,456641,377130,-1,-1,876919,-1,-1,298205,-1,957610,153160,-1,-1,-1,365609,-1,386013,-1,-1,-1,-1,266914,-1,-1,36121,464069,-1,-1,638692,-1,-1,-1,-1,385509,-1,-1,364982,-1,-1,341616,-1,-1,215983,54223,-1,-1,740361,90207,-1,-1,674494,-1,-1,-1,-1,-1,-1,-1,101357,-1,-1,815977,246318,277954,-1,528486,352867,-1,-1,-1,163299,129001,-1,600940,148911,829075,-1,287114,52321,158324,886433,-1,-1,-1,147096,51245,185563,811345,-1,629349,975597,-1,-1,-1,164531,-1,-1,651573,-1,453106,231910,-1,514582,35918,712834,-1,697134,-1,453102,92869,-1,-1,-1,-1,-1,-1,-1,852892,-1,327706,513947,-1,714071,-1,145024,151440,-1,-1,988596,975643,-1,6745,79948,-1,861288,-1,-1,-1,-1,-1,-1,-1,160173,457054,863966,455451,-1,-1,495404,895226,-1,238343,626628,675433,597320,-1,-1,-1,-1,-1,-1,-1,252982,540188,116386,834400,-1,-1,421547,-1,-1,-1,413305,-1,778894,-1,254991,-1,-1,-1,929585,599295,171353,141059,-1,-1,167998,-1,-1,792138,336847,-1,736682,-1,-1,-1,671425,-1,-1,670624,152973,457267,918315,-1,909614,-1,170862,-1,976375,114386,-1,-1,645425,13484,-1,-1,-1,855511,796598,921773,544072,257758,189426,470154,-1,910045,179781,211762,-1,-1,273406,22559,339121,122206,130928,503570,-1,-1,457880,241788,385734,151139,125251,232027,981766,558976,-1,-1,834354,-1,-1,668410,136794,-1,-1,-1,833656,289594,-1,776505,-1,245946,200860,262014,449166,-1,319595,136905,-1,870865,890049,-1,-1,-1,423335,-1,339325,-1,-1,-1,316597,-1,410255,646137,-1,-1,-1,-1,295072,377502,934150,-1,204478,146090,440124,584469,676703,791270,-1,465429,-1,825242,-1,969056,158871,-1,-1,-1,182551,394298,512344,-1,244839,-1,-1,358834,-1,-1,597662,-1,-1,408297,-1,-1,805335,-1,-1,937806,726055,851836,800954,870465,-1,-1,20147,-1,674657,896409,-1,-1,918833,-1,688095,-1,763718,-1,748460,-1,669936,992134,256498,-1,-1,893104,895679,-1,-1,-1,797734,519523,223090,-1,272245,-1,-1,623529,811733,-1,162253,891206,-1,874012,-1,924389,648218,-1,154366,83671,-1,417642,156989,-1,-1,529781,-1,-1,231623,-1,871710,-1,182097,-1,-1,-1,-1,-1,-1,500367,279542,259102,-1,-1,183921,-1,50441,-1,616211,-1,-1,824005,-1,-1,-1,219585,975716,-1,-1,498355,-1,-1,-1,-1,-1,102725,-1,511480,201299,972262,-1,307315,317119,-1,521317,-1,-1,-1,-1,-1,762602,-1,-1,-1,-1,919508,-1,-1,930067,710668,-1,273385,-1,-1,807637,-1,2384,-1,550292,-1,829038,-1,-1,857898,962355,119778,-1,196326,-1,-1,-1,-1,-1,892652,-1,923476,-1,-1,231768,892908,-1,-1,773748,-1,358325,286731,-1,-1,576765,152697,901163,220068,-1,258616,-1,869590,94118,189329,-1,121096,788803,-1,159781,-1,605366,-1,-1,-1,-1,945493,-1,-1,-1,215432,-1,877773,-1,-1,254937,934234,-1,392887,366060,-1,871271,-1,110631,-1,-1,689014,-1,252218,-1,-1,-1,459070,255351,-1,782873,298337,-1,354518,-1,-1,617778,448371,-1,-1,820549,525023,419095,-1,-1,21896,494481,-1,-1,-1,7390,-1,-1,-1,-1,-1,-1,-1,913893,-1,198134,-1,-1,-1,-1,244246,437470,-1,-1,804661,936704,165338,-1,337734,-1,-1,965672,643765,-1,162847,668167,747457,-1,-1,425994,197599,-1,-1,-1,-1,198166,-1,-1,210110,329398,109546,-1,-1,824041,789163,-1,-1,317000,-1,174959,-1,839083,-1,-1,-1,-1,423367,284787,590251,707107,67813,-1,28368,-1,352493,-1,988613,-1,-1,799515,690902,877329,-1,-1,-1,528660,-1,214554,-1,-1,508750,435730,69182,879729,-1,-1,-1,283049,-1,-1,-1,962351,-1,-1,-1,894394,364368,-1,-1,-1,537889,-1,-1,812350,-1,128640,-1,-1,-1,298153,496161,-1,760396,-1,-1,-1,317116,71384,-1,2356,535082,559780,571972,40149,652240,-1,-1,884682,966068,-1,849101,-1,-1,-1,-1,206544,974403,-1,852688,558437,-1,333901,545550,777442,793611,636475,-1,302643,117610,142206,-1,-1,-1,-1,995918,546738,-1,-1,939708,-1,404432,455844,92620,911626,-1,731830,276891,66539,-1,-1,857745,541812,-1,275216,-1,-1,-1,-1,929689,-1,-1,249460,163343,251678,-1,420827,-1,-1,792077,-1,829048,-1,669434,243382,490413,133354,-1,-1,852577,-1,182219,-1,-1,-1,214974,-1,-1,-1,142597,-1,852694,-1,-1,-1,360581,-1,875007,721241,-1,-1,969045,-1,-1,259063,976996,-1,903287,43034,-1,919490,-1,-1,-1,-1,-1,-1,919529,329740,-1,-1,-1,-1,322996,-1,522102,-1,-1,-1,-1,-1,-1,551982,924905,-1,63895,-1,-1,967577,859651,336743,617559,13586,829369,-1,169487,239930,-1,268407,-1,-1,345321,-1,528733,-1,569997,859471,772890,920095,299152,373177,771890,51101,223914,193885,-1,-1,648935,801972,-1,506355,-1,-1,-1,70297,237688,-1,543215,-1,-1,372213,932590,-1,175646,-1,396354,111493,-1,633274,-1,392488,632896,659410,-1,844462,-1,-1,-1,-1,-1,305136,794868,154140,-1,419321,858418,-1,752338,109518,-1,-1,446473,486516,695329,674297,431465,130691,209631,-1,-1,790952,-1,-1,941598,790288,240330,562055,-1,767638,-1,355509,101964,374424,796978,-1,-1,-1,-1,566297,460510,-1,338641,-1,-1,-1,-1,-1,-1,-1,486190,846935,11087,-1,-1,-1,759681,-1,388719,804803,617662,-1,-1,70686,440763,191058,915763,773428,386454,-1,-1,-1,-1,816234,-1,788522,535481,-1,-1,466585,764060,-1,498331,-1,939596,-1,455183,134628,312028,-1,335131,-1,-1,-1,-1,-1,-1,451119,841766,-1,-1,-1,116974,-1,41406,-1,743715,-1,177272,690608,-1,855371,-1,775098,348346,749928,-1,-1,265252,-1,-1,-1,167405,486927,431281,-1,223938,730252,-1,155821,549695,-1,-1,45576,302015,-1,-1,836231,-1,82079,395776,931685,433272,-1,284415,319136,352204,-1,-1,-1,-1,191300,134084,30289,735670,106663,-1,-1,144661,-1,125267,320207,-1,644314,727850,994839,757829,-1,326769,820442,649844,-1,-1,672780,970820,533771,291727,842454,-1,202370,-1,120062,-1,547409,-1,460055,-1,194071,35561,-1,-1,699297,639451,-1,167669,541884,-1,-1,-1,421559,-1,-1,-1,403925,-1,582895,643404,356679,554559,323825,-1,348272,849932,-1,-1,-1,-1,-1,955150,522559,-1,436436,-1,-1,268568,842657,884543,-1,-1,656458,-1,365129,924098,-1,977795,867127,-1,-1,-1,360146,-1,50236,-1,-1,-1,-1,-1,416564,-1,-1,93965,660819,484892,-1,243384,391939,814326,-1,492645,984525,570267,108275,-1,-1,-1,89770,846849,-1,781657,308708,-1,-1,-1,816666,321316,-1,580615,-1,227276,404920,287931,594857,-1,687322,-1,676522,-1,-1,576298,-1,-1,944357,-1,535285,-1,516228,-1,814435,889034,255407,407956,-1,73257,-1,19185,-1,-1,-1,-1,977558,-1,-1,-1,135526,565663,484634,388589,908347,-1,432617,-1,-1,930678,-1,-1,131648,618351,-1,-1,-1,219904,263847,810629,374036,-1,-1,-1,42378,476223,11149,711897,-1,-1,-1,965732,-1,6649,743945,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,345897,300132,450128,-1,393684,-1,-1,765803,-1,-1,-1,875010,590909,472924,-1,113944,-1,149026,953490,-1,207583,-1,-1,-1,86671,-1,974734,-1,463527,-1,-1,48827,-1,-1,869887,-1,-1,-1,-1,244623,-1,-1,-1,77195,-1,715139,366973,938400,-1,-1,-1,203533,-1,-1,300700,-1,834290,666136,-1,-1,379813,-1,705549,736609,521280,-1,-1,-1,606145,976002,668376,-1,-1,222063,-1,112016,481143,-1,-1,-1,-1,-1,-1,692660,412960,962557,-1,187266,558894,450307,-1,607229,38060,136285,34404,-1,-1,318,546267,-1,-1,296550,616335,912718,-1,-1,-1,-1,-1,698645,157612,-1,315174,-1,-1,638785,-1,-1,-1,-1,-1,579813,702989,467205,687201,202581,400714,131997,-1,-1,637023,697474,548167,-1,88266,-1,871307,-1,980870,-1,439505,605797,7608,-1,-1,-1,429799,-1,485340,688273,-1,-1,-1,-1,-1,-1,334486,461469,110809,-1,357953,703165,950240,-1,681926,-1,650431,413248,2808,-1,-1,-1,-1,-1,648226,714576,-1,-1,-1,313605,572082,411615,946818,-1,778154,853750,698235,-1,516773,187435,-1,814015,114224,-1,331725,238810,909502,-1,-1,97151,-1,-1,937463,-1,-1,254244,-1,-1,-1,518066,749778,-1,-1,619220,643296,-1,262034,-1,-1,103583,-1,-1,-1,-1,-1,544537,-1,221434,-1,-1,-1,-1,260521,-1,619790,971560,269545,955438,-1,-1,-1,290915,200668,913659,42122,-1,925457,-1,-1,635586,433667,-1,-1,374873,418662,-1,351711,-1,-1,278239,-1,164565,61933,-1,-1,-1,-1,-1,-1,220657,104370,797268,880661,-1,314162,-1,955519,143199,376247,-1,-1,-1,644390,-1,-1,187524,920481,-1,86817,-1,178549,-1,-1,325649,-1,-1,-1,971764,23316,768219,355539,-1,-1,-1,98206,276289,-1,-1,699672,-1,20922,-1,-1,-1,224845,751193,-1,341075,-1,-1,675154,-1,-1,888092,977988,652605,641444,-1,-1,164334,379575,122031,-1,344595,-1,-1,784215,-1,354663,-1,829224,23010,502595,671607,249041,-1,165491,-1,-1,410398,555978,643946,-1,419320,515839,-1,440342,134486,-1,-1,-1,459545,842897,-1,334022,-1,614222,538864,214672,-1,-1,-1,-1,-1,26058,-1,260421,-1,316936,-1,-1,402629,602664,41128,-1,-1,-1,-1,646610,269681,144001,-1,72664,754362,836296,678466,-1,498255,-1,306900,-1,191215,385553,650812,-1,588985,389727,-1,785863,-1,-1,400170,-1,133890,770937,426029,-1,497502,364418,425375,57487,-1,-1,277634,-1,-1,174552,-1,-1,-1,-1,778780,-1,288671,805671,-1,199252,785693,436877,-1,-1,-1,875156,-1,-1,-1,196419,-1,520521,-1,-1,-1,994122,-1,372386,988438,-1,175623,-1,477380,275097,803650,-1,-1,-1,104369,-1,341720,-1,617684,219876,-1,134994,-1,779858,227787,667298,-1,389884,-1,869084,13423,-1,949738,122339,141697,-1,-1,-1,717277,461855,782919,-1,344208,-1,-1,93524,431889,-1,994119,159678,-1,-1,-1,240646,-1,-1,738119,890886,509658,-1,657198,69101,-1,-1,257554,-1,-1,-1,338850,-1,468622,-1,-1,890730,-1,-1,838009,-1,678636,-1,525395,445130,554854,342513,473723,-1,-1,490234,-1,503044,164469,-1,-1,-1,-1,-1,-1,-1,961517,-1,-1,158082,544143,171205,-1,-1,166804,-1,620373,533606,312806,793784,-1,-1,-1,-1,292100,-1,-1,-1,-1,42244,706250,42124,-1,-1,910781,-1,507450,-1,154405,912480,709949,894076,924732,59350,432002,-1,372014,-1,598925,357824,507573,-1,-1,-1,556611,-1,668724,219438,-1,803362,749344,905684,154900,573559,-1,-1,370498,396450,804950,-1,-1,274826,-1,-1,-1,706064,744645,-1,-1,283174,-1,704134,-1,137510,-1,540454,194108,-1,142287,644049,-1,-1,112835,220153,682529,-1,-1,-1,958318,387829,348867,-1,-1,-1,-1,451471,371952,-1,-1,454048,-1,-1,540318,-1,-1,-1,353705,-1,-1,738913,727305,335504,797643,374222,-1,-1,-1,-1,-1,-1,200422,985070,-1,220215,-1,380744,471257,-1,-1,203195,115220,799798,-1,-1,-1,-1,539658,581090,-1,136022,-1,-1,-1,-1,439037,586088,-1,279977,-1,-1,-1,294109,29544,777907,906158,738943,-1,713085,153012,525656,-1,425422,397690,-1,-1,985112,376665,500555,342134,530743,-1,230731,505952,524905,424278,-1,812005,-1,-1,843492,578456,894496,85271,-1,363434,-1,-1,-1,-1,882995,-1,74328,-1,-1,-1,89908,750921,289781,-1,-1,-1,478688,-1,-1,15347,-1,23451,-1,956082,-1,-1,-1,-1,-1,152904,-1,-1,841508,-1,698069,460422,-1,966136,812743,388317,597802,-1,256721,497194,512106,449631,485924,-1,932182,82128,972940,-1,-1,-1,285003,-1,-1,666849,-1,648119,-1,401237,-1,-1,92424,-1,-1,77376,-1,578619,994761,258384,-1,-1,-1,-1,-1,521440,-1,957784,-1,939322,-1,-1,-1,631008,-1,590953,-1,323438,-1,74358,25216,-1,49143,-1,-1,-1,-1,-1,978799,225040,964497,-1,-1,-1,-1,309170,-1,-1,-1,753212,-1,-1,286007,-1,243872,890634,-1,-1,-1,-1,811347,209043,877801,946266,494257,-1,459276,-1,-1,-1,-1,77120,690891,-1,-1,833944,390984,669325,767327,891456,-1,543138,606236,39752,879881,743905,-1,825298,-1,-1,-1,913384,20619,913961,302611,-1,-1,45036,468459,920466,-1,284915,-1,830094,838805,452159,-1,-1,651814,667808,-1,-1,167860,-1,-1,-1,851652,-1,-1,-1,831898,-1,711903,380206,-1,73466,868278,-1,-1,-1,-1,-1,220104,961279,19008,862216,-1,656001,988193,86280,598668,453013,-1,-1,222084,347650,471187,538521,112914,112641,811654,-1,-1,-1,-1,-1,-1,-1,-1,-1,865951,-1,-1,856665,-1,-1,-1,285340,761615,-1,-1,6855,-1,919011,-1,762576,-1,531445,-1,-1,195775,-1,-1,-1,133668,-1,-1,505434,-1,-1,116439,711839,757965,-1,875891,-1,-1,-1,737635,715871,983944,518361,889957,-1,-1,677601,-1,-1,145524,571171,-1,412841,693496,532350,720074,-1,385514,396068,-1,-1,-1,-1,192596,-1,-1,592823,-1,-1,573892,40787,433106,-1,704622,-1,470732,93902,471701,-1,-1,-1,340548,-1,-1,-1,845896,307756,-1,361773,745741,648670,512163,-1,-1,-1,-1,844026,987398,-1,-1,-1,439938,-1,668876,-1,101309,756484,-1,-1,355182,660822,-1,469873,687514,-1,103376,-1,-1,-1,127906,-1,-1,-1,155655,44763,118409,-1,-1,762399,182327,-1,49812,-1,-1,-1,-1,381446,988848,276645,899973,-1,846500,-1,583977,-1,-1,-1,-1,-1,-1,-1,435629,-1,-1,-1,-1,-1,318319,7607,887953,232739,168459,-1,-1,-1,-1,480417,-1,881144,-1,665173,174440,-1,129251,967899,932520,-1,-1,-1,-1,481467,149159,-1,-1,890459,764420,897260,823541,-1,-1,-1,-1,-1,595477,929390,236284,442755,589180,-1,221926,-1,456658,-1,892271,-1,173381,418636,329386,-1,-1,-1,44314,-1,-1,493194,15301,878300,-1,-1,-1,-1,-1,-1,865730,-1,-1,-1,966083,-1,-1,867248,478168,-1,-1,797627,-1,854893,367813,-1,598092,-1,-1,543718,-1,-1,-1,-1,158931,60187,-1,-1,-1,-1,979659,-1,564991,466584,-1,-1,956704,-1,-1,127493,-1,-1,495376,667173,-1,-1,-1,-1,213559,786566,144302,-1,-1,-1,383558,326860,-1,545579,-1,681091,158126,866348,-1,-1,760352,134986,-1,-1,557253,726826,872508,22049,601323,-1,194921,-1,493490,220910,243810,-1,859754,753470,515112,-1,717408,769058,-1,797755,762988,833657,319123,525722,-1,222635,-1,-1,-1,-1,-1,652646,173925,-1,462285,331689,284457,-1,-1,-1,-1,194281,-1,428762,-1,867862,-1,340386,-1,346584,295689,-1,-1,-1,-1,928313,203261,711247,957357,-1,-1,-1,-1,-1,-1,509942,938546,-1,-1,-1,74213,-1,163465,-1,91004,-1,632734,-1,232575,-1,-1,-1,548908,850838,904459,230492,-1,596923,778345,-1,-1,-1,-1,290846,-1,494273,141772,-1,657939,869421,118598,-1,2653,272816,121159,931151,749871,562096,723442,-1,872353,-1,144847,658540,109728,129490,-1,-1,671313,343575,-1,769703,342028,141230,183731,473119,-1,447263,-1,438230,847135,-1,-1,-1,-1,-1,116456,-1,200765,-1,156862,-1,142793,-1,-1,-1,-1,-1,956049,601469,-1,325218,605433,60280,174700,-1,934877,922232,709427,560844,-1,338017,-1,-1,-1,-1,-1,739496,702882,205257,42724,618742,-1,140216,-1,510882,-1,999573,462049,710638,929803,482747,730029,-1,867797,-1,164438,648208,-1,-1,615101,-1,-1,444371,-1,569051,988444,-1,-1,734040,94721,-1,-1,-1,142031,277291,583911,606687,65918,-1,45366,321092,58255,268918,-1,989655,-1,348071,629844,-1,-1,986235,-1,441468,1886,-1,661807,-1,-1,-1,167486,-1,-1,606870,-1,189551,-1,-1,694514,-1,750887,-1,-1,42450,953690,812112,-1,859119,893081,895332,-1,-1,767843,310735,-1,-1,-1,288081,-1,-1,-1,-1,-1,81100,-1,797023,-1,-1,-1,197492,972858,848996,-1,-1,820964,725165,102378,364412,170611,-1,-1,385768,53150,250883,729643,-1,190546,-1,847771,684112,-1,-1,107700,634656,-1,-1,231526,494748,-1,-1,-1,486840,940543,-1,872788,-1,911920,-1,953899,-1,467162,-1,-1,-1,-1,869408,430930,420137,-1,281556,378494,-1,796341,34,-1,860761,-1,-1,-1,64445,899859,-1,-1,934917,668006,-1,540047,113303,-1,-1,-1,80503,804166,593964,139993,730506,588357,240521,327923,-1,-1,148581,-1,-1,459442,625938,589029,833271,774306,-1,-1,-1,-1,707427,-1,862053,44091,-1,751232,-1,-1,-1,-1,379998,-1,-1,-1,-1,119443,208388,171657,-1,-1,-1,330579,-1,-1,-1,-1,178941,942426,570042,-1,-1,-1,939346,-1,782350,655482,474698,-1,792766,-1,-1,-1,-1,696337,-1,966462,-1,845143,-1,857532,-1,-1,325983,997768,-1,-1,-1,731962,957285,211752,179570,863004,-1,584770,712152,-1,-1,941527,-1,648861,915577,-1,-1,-1,-1,252639,-1,900184,690801,409189,636215,481326,400316,101010,-1,167102,709884,500279,-1,338255,-1,-1,500557,-1,543381,91600,-1,-1,-1,-1,728492,85134,945635,-1,179487,748653,733511,-1,-1,-1,154108,554895,41816,758467,-1,-1,275095,250628,-1,-1,-1,63333,364707,-1,-1,727152,-1,-1,333077,-1,-1,917861,-1,750519,170909,-1,402004,-1,451513,423850,985418,283698,-1,568971,-1,-1,-1,-1,-1,827195,-1,-1,389482,852460,880025,673233,-1,-1,-1,282183,-1,-1,-1,-1,531308,-1,-1,-1,-1,760360,-1,775615,936426,-1,-1,506680,720047,-1,-1,-1,-1,309886,-1,-1,451621,419553,658973,-1,621570,-1,-1,-1,-1,-1,316933,-1,418430,-1,38490,-1,432865,-1,-1,-1,-1,-1,961641,-1,-1,928978,37057,-1,-1,51674,105075,-1,-1,-1,731109,366404,539910,597475,368609,43440,426224,-1,-1,295534,248722,867081,355604,925991,-1,-1,-1,-1,-1,-1,-1,722085,-1,44176,847250,-1,-1,516384,862217,72055,-1,-1,-1,113801,562198,-1,-1,-1,48876,-1,-1,280051,382312,230320,-1,487558,-1,-1,-1,729003,818094,156114,803202,-1,-1,-1,675551,603020,54467,273613,-1,82187,-1,860111,-1,-1,-1,253299,624959,-1,-1,999758,-1,976258,-1,-1,-1,-1,-1,-1,9482,53617,-1,148274,135023,652206,-1,468205,-1,-1,-1,718697,36980,-1,950406,-1,-1,-1,-1,917095,-1,781921,456853,-1,-1,918761,-1,446679,-1,-1,197891,166814,-1,70376,-1,449139,980133,-1,411256,825537,-1,817301,137559,-1,-1,385287,-1,193352,96714,160636,-1,-1,-1,-1,69096,-1,-1,916433,107386,406229,915435,377101,486054,398565,240896,826253,630118,-1,961444,-1,600347,-1,29405,224324,241510,127319,-1,-1,93271,775964,-1,-1,623949,-1,79471,-1,-1,-1,-1,699885,467703,-1,816596,589192,-1,6935,617296,1723,615176,-1,-1,-1,-1,711466,-1,-1,102518,786343,914099,-1,846323,-1,999579,-1,-1,766876,190869,87283,-1,-1,-1,-1,451667,-1,573477,-1,747539,-1,590200,-1,-1,-1,540092,-1,515606,-1,-1,-1,637436,782101,-1,-1,-1,-1,951848,-1,507686,-1,-1,962024,-1,-1,775243,-1,-1,41355,5444,-1,-1,-1,-1,-1,-1,993032,663536,-1,-1,-1,179953,-1,250089,-1,-1,892286,538997,594303,395526,671272,758408,28030,155518,-1,-1,-1,-1,-1,-1,591479,501908,523182,-1,-1,-1,880621,205174,-1,385847,607323,-1,960162,-1,912135,582157,-1,502849,-1,-1,-1,-1,55854,802716,243422,199784,12327,-1,746742,667274,583488,-1,181654,-1,-1,256358,44437,-1,62519,-1,-1,752565,846607,-1,-1,871446,-1,333392,-1,201946,993125,-1,-1,-1,-1,931016,13543,886846,-1,689439,-1,-1,862185,425120,-1,584833,-1,8968,-1,441241,-1,-1,348557,-1,378974,380504,7706,-1,-1,271156,-1,305295,356798,-1,727765,-1,-1,602587,261920,839052,441931,545744,397164,-1,-1,-1,-1,392184,-1,-1,23458,-1,510202,136051,-1,584679,-1,-1,539079,35807,-1,400274,-1,272434,70472,-1,-1,149817,-1,312022,205169,748906,-1,93863,731271,774,304623,-1,-1,-1,338571,553460,-1,65952,504404,-1,563149,-1,729323,387163,279909,-1,-1,-1,745171,802484,-1,-1,935271,252943,-1,-1,-1,977666,73411,-1,20821,-1,286121,-1,824351,912536,52126,973862,-1,-1,72964,-1,184363,-1,-1,-1,23941,983714,974519,-1,31272,-1,875004,-1,-1,812296,173663,304236,-1,298621,-1,605374,-1,-1,385827,330953,110411,-1,467795,299990,-1,360811,285961,845416,-1,708792,-1,325166,-1,275475,237252,-1,-1,176886,415385,-1,655587,-1,-1,-1,-1,-1,-1,-1,115614,330439,216434,-1,-1,-1,-1,877217,484938,966383,-1,-1,625297,481129,666855,-1,-1,-1,128709,-1,687364,-1,-1,-1,271328,-1,139609,904936,-1,536555,-1,493872,848483,486755,-1,53728,736157,-1,370458,138709,71517,-1,-1,86879,-1,-1,577405,-1,527522,-1,790972,-1,337940,924739,-1,-1,846710,442279,781315,-1,401493,334289,-1,-1,643127,132262,189697,-1,46367,353557,-1,-1,-1,78539,557877,-1,-1,431421,692390,-1,-1,-1,-1,-1,198655,-1,629681,-1,-1,263611,34762,-1,-1,-1,-1,598525,-1,-1,-1,574469,797024,-1,-1,771961,-1,-1,-1,611386,643507,22402,-1,-1,186973,-1,403502,300169,224503,-1,310805,-1,-1,101993,-1,-1,-1,-1,907931,3780,135395,-1,912999,-1,421531,-1,760914,778848,-1,-1,-1,-1,106744,31034,-1,155536,-1,-1,755827,451478,540593,-1,898456,379229,-1,-1,-1,885119,802015,-1,-1,-1,-1,-1,131127,-1,493683,-1,616459,-1,722974,-1,437541,625600,495371,-1,-1,836699,482255,6675,-1,306622,2184,-1,641234,912655,-1,-1,-1,-1,600183,749020,517416,-1,-1,-1,301391,845938,545547,609404,-1,810879,158893,785283,-1,663231,553808,494759,921792,-1,237996,265669,-1,-1,-1,222711,-1,919863,-1,365420,-1,-1,-1,-1,-1,44054,-1,627724,-1,-1,246154,-1,-1,-1,-1,947414,605450,189271,-1,-1,-1,-1,715618,994829,218207,896476,187083,-1,831452,-1,184703,-1,-1,-1,-1,689135,-1,-1,789445,25863,508471,-1,-1,-1,-1,-1,688126,18596,350696,840756,235785,173170,633924,-1,-1,431482,75057,-1,59781,832187,752819,-1,-1,667212,274758,-1,-1,-1,-1,-1,76234,830960,601956,59642,-1,-1,-1,-1,-1,589567,635403,254429,88767,295364,710205,268205,-1,-1,825790,-1,-1,231231,-1,-1,-1,10326,-1,-1,421447,991424,-1,77507,475215,984649,-1,529797,421142,-1,609893,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,297989,-1,21378,995819,869476,-1,-1,694321,-1,-1,-1,-1,956243,-1,206461,-1,823174,756290,850375,-1,819297,77455,230834,947239,267797,-1,798818,5659,357876,75921,980007,-1,-1,290105,743333,946865,980813,-1,-1,-1,346035,382738,-1,-1,-1,-1,390032,84052,762122,21601,-1,658748,739804,-1,550061,792873,-1,46413,645947,-1,946453,-1,250866,-1,-1,-1,388440,-1,-1,655222,-1,790547,91257,-1,-1,-1,729603,926872,969955,-1,82821,600190,616814,189389,99753,350001,-1,-1,-1,-1,71492,916966,-1,951780,795703,262265,-1,-1,-1,190861,465097,105540,-1,-1,985790,736695,123666,-1,-1,835104,51382,361814,-1,965891,608227,984394,-1,551874,752297,-1,-1,526310,364355,-1,866335,-1,-1,889531,-1,965182,148788,986641,-1,-1,-1,212137,-1,387617,813725,153956,-1,740988,-1,400716,449110,-1,-1,198811,227229,-1,267483,-1,-1,-1,465895,784355,-1,-1,-1,469369,-1,-1,120174,-1,81235,-1,78140,-1,-1,-1,-1,-1,-1,741563,838902,393537,307077,148617,-1,-1,695335,-1,445256,-1,237700,704719,749288,179310,-1,844891,-1,866135,-1,-1,-1,596971,-1,-1,544654,460678,-1,-1,-1,-1,4361,-1,556103,917991,-1,223357,381945,-1,593550,-1,-1,-1,724062,180250,243042,20338,851765,-1,-1,-1,300449,-1,-1,133860,436016,-1,-1,855352,842598,428716,-1,757795,-1,-1,-1,42829,755787,484643,431436,694311,-1,-1,94549,-1,975031,246393,-1,-1,759067,81408,-1,-1,718688,903351,-1,-1,204023,-1,-1,470820,467836,679618,865178,-1,-1,430305,85875,731016,610486,915932,-1,772207,221026,-1,263654,378746,-1,692387,-1,-1,-1,205793,630528,488277,43940,98265,-1,464743,797587,-1,210993,-1,14190,685321,-1,5467,-1,979185,489590,-1,58068,990434,-1,122360,716610,-1,486881,379400,-1,263719,-1,-1,441892,-1,969263,-1,-1,70885,-1,-1,661102,464169,-1,392650,903785,113921,759346,-1,-1,20997,300550,-1,33880,490495,368992,807082,-1,37702,54198,-1,-1,-1,916808,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,437692,-1,-1,738928,-1,-1,-1,-1,822199,-1,-1,-1,-1,988931,66815,-1,-1,-1,759143,-1,-1,776431,240547,169273,789547,137463,286407,-1,-1,168723,773884,795253,297505,-1,-1,-1,-1,-1,569175,-1,776043,216159,557743,3697,-1,860192,845881,627762,-1,349592,-1,774671,-1,802752,756730,-1,967080,471424,30152,466578,926622,335219,-1,-1,-1,487673,-1,136847,763438,701729,914659,-1,9446,616218,433187,-1,-1,-1,178444,470479,-1,541906,484409,3648,-1,155803,-1,407105,716831,950472,-1,-1,-1,902255,777071,-1,97457,52601,-1,-1,817490,-1,-1,-1,988977,-1,-1,279452,698312,-1,-1,445620,-1,-1,229624,-1,858712,-1,391919,196700,-1,358476,-1,803644,-1,533149,401840,-1,224883,73576,-1,-1,-1,10174,511129,61699,-1,160387,525329,-1,-1,-1,-1,291524,-1,-1,334154,788952,400160,34485,12887,-1,367614,-1,-1,458375,408436,-1,314452,-1,-1,384592,933050,-1,265984,-1,196864,-1,-1,585890,175445,277876,823824,151103,381251,-1,202004,355628,-1,-1,365701,800680,231337,-1,342164,-1,-1,-1,493532,554751,335477,615401,-1,732609,357249,358959,145274,380005,456300,468,-1,-1,-1,-1,-1,-1,429614,-1,329732,451322,-1,244059,931321,150650,944912,522729,743798,525941,32934,-1,69713,-1,688226,678670,-1,-1,-1,-1,-1,-1,-1,717086,634741,-1,-1,54566,948,851720,-1,940663,80508,412218,-1,106238,-1,245643,-1,-1,828571,393665,-1,-1,254239,943418,261420,-1,-1,-1,627693,325547,531593,190379,861410,-1,-1,-1,824625,58572,200684,-1,281150,-1,418984,-1,-1,431581,-1,-1,457484,473781,-1,-1,-1,-1,254677,895026,-1,-1,239805,-1,-1,984239,-1,-1,-1,-1,437944,-1,701113,626429,90111,-1,377025,632695,483790,-1,-1,261907,-1,868685,901435,476275,-1,-1,-1,-1,23713,350841,308201,-1,930969,-1,124403,618423,-1,-1,-1,519848,-1,-1,-1,481762,-1,-1,-1,-1,558379,215532,-1,175189,-1,-1,-1,78651,751270,518589,-1,804614,374629,347040,-1,378309,357269,-1,891405,-1,-1,-1,-1,870803,-1,307204,957825,-1,-1,159684,848004,-1,552550,-1,198901,-1,-1,-1,-1,-1,424301,-1,-1,-1,-1,784373,454341,-1,-1,619767,-1,-1,864087,-1,-1,399535,-1,991100,-1,-1,-1,-1,128934,936879,-1,872294,-1,-1,-1,-1,-1,-1,343313,-1,931552,-1,-1,-1,-1,-1,-1,-1,-1,-1,169575,639828,-1,-1,-1,-1,-1,-1,-1,530847,-1,-1,50479,-1,47898,534096,821665,902036,841334,-1,-1,213818,-1,662319,-1,-1,866787,-1,-1,-1,-1,-1,128283,651853,694633,-1,8127,265512,415474,493528,87867,-1,65058,-1,974004,-1,-1,899604,-1,-1,353701,300098,-1,-1,-1,555872,-1,-1,149826,514281,-1,466968,-1,393373,227494,-1,-1,-1,-1,437352,-1,878920,-1,-1,-1,-1,277760,817172,-1,456121,-1,9232,613044,-1,-1,666706,-1,-1,-1,-1,-1,637441,140942,937883,-1,288805,-1,-1,552122,-1,798454,-1,185769,400304,-1,-1,842060,-1,950209,29959,-1,983178,814886,-1,-1,-1,-1,653445,-1,-1,632710,293324,-1,-1,701235,-1,351656,766228,-1,-1,738190,716741,-1,-1,179845,843488,827984,-1,25410,-1,-1,708855,950387,145567,939300,8472,565840,-1,974839,217016,-1,-1,390116,-1,545436,774465,-1,-1,860265,402241,-1,-1,495035,869571,431702,-1,-1,-1,771714,855801,133086,-1,-1,590027,469683,-1,-1,479183,-1,-1,355603,-1,536979,350771,396073,393325,417764,-1,-1,655988,607729,653149,-1,676050,-1,-1,-1,939700,572747,-1,-1,667886,-1,-1,-1,-1,-1,-1,932311,-1,-1,177251,891937,369039,393402,-1,-1,592798,415666,107424,517079,-1,210346,-1,535469,275956,-1,-1,-1,-1,504815,-1,-1,-1,593913,391431,-1,-1,405840,970225,-1,-1,670826,-1,907291,-1,-1,849673,-1,-1,344201,693065,946764,342796,827172,474758,444781,606853,548191,753539,-1,392864,-1,-1,-1,279983,407637,168246,649543,-1,55860,321375,-1,-1,-1,862635,-1,209266,115024,-1,-1,-1,475681,326657,-1,-1,563664,-1,-1,847302,-1,913618,200895,-1,-1,-1,191144,613303,-1,494183,-1,951962,-1,-1,311811,-1,-1,-1,352538,491894,-1,704934,731575,63386,-1,455902,-1,-1,477269,-1,677825,362519,89385,775744,-1,462757,938157,-1,177407,282215,-1,-1,-1,-1,-1,-1,145323,-1,-1,207479,-1,-1,942345,-1,-1,927655,408220,284834,-1,-1,-1,-1,-1,-1,-1,773642,-1,735905,143474,-1,678406,-1,-1,296151,887314,928957,445480,-1,-1,-1,961366,-1,808545,-1,-1,235613,-1,88319,-1,-1,494320,-1,194939,-1,315064,-1,-1,911650,175169,-1,60337,-1,-1,-1,-1,-1,-1,955798,412733,611997,-1,769004,82369,-1,339857,-1,-1,397790,425770,213075,-1,664155,-1,-1,-1,263180,946825,-1,230929,332384,904905,-1,449932,-1,409435,-1,431433,-1,537135,-1,-1,-1,-1,316077,849444,-1,-1,-1,166607,866563,397379,-1,-1,729349,-1,-1,656197,-1,-1,-1,712581,-1,550213,-1,469008,884559,289679,595171,-1,435993,604448,-1,379440,-1,-1,-1,-1,140193,-1,294189,-1,34414,-1,-1,77115,600495,872289,953543,455772,-1,593730,146099,882503,-1,-1,709443,894953,-1,800890,89176,-1,-1,-1,927509,-1,622109,775551,943932,78624,-1,-1,-1,-1,694619,320937,-1,-1,-1,538287,479845,-1,175360,631207,-1,422535,-1,-1,-1,-1,645679,-1,-1,-1,-1,811959,-1,-1,-1,-1,917508,938496,-1,-1,636676,-1,-1,-1,-1,-1,-1,-1,907048,757818,10207,-1,-1,295443,-1,-1,-1,-1,333443,-1,138514,13128,649526,448615,995882,918909,214699,-1,799230,-1,-1,-1,197213,-1,-1,140073,-1,933957,578322,-1,728055,73764,666044,-1,383914,217922,-1,-1,513193,95364,566385,-1,70616,520792,131551,-1,-1,-1,129109,821365,-1,-1,-1,255765,-1,-1,856906,292231,975064,-1,907113,545334,425588,553540,-1,-1,299832,-1,-1,876346,981351,-1,401474,-1,-1,553734,-1,-1,-1,-1,417285,39123,-1,-1,7804,206455,123939,650871,-1,814284,761285,512790,801996,-1,-1,505373,247205,-1,958520,108033,243055,-1,-1,-1,707702,-1,-1,-1,-1,548492,781033,436698,-1,863256,933594,857123,-1,646150,-1,-1,156912,-1,-1,-1,486635,866097,570403,236807,215114,-1,-1,-1,-1,996535,973543,-1,721910,15527,75717,-1,884305,-1,-1,756200,792209,-1,-1,-1,870209,745684,-1,-1,580672,771194,-1,811283,259277,-1,56189,-1,-1,374898,444181,826765,203665,-1,438664,-1,32539,40038,938762,63177,-1,-1,86427,-1,172679,-1,400793,-1,655607,797790,-1,-1,-1,-1,-1,-1,827902,-1,452388,-1,455237,-1,818381,296782,-1,436924,53823,574639,-1,-1,-1,861616,-1,115541,588531,19841,154637,83261,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,895091,-1,364935,-1,949785,506432,-1,-1,661475,-1,91633,-1,-1,113125,-1,-1,-1,481822,-1,-1,497248,-1,279842,-1,-1,-1,-1,805870,414894,-1,626716,742748,-1,462396,-1,-1,-1,-1,-1,806249,-1,-1,173294,825256,311273,-1,-1,-1,435749,-1,472922,231872,-1,-1,892522,-1,741530,389892,-1,983638,-1,-1,-1,346105,706567,-1,-1,-1,-1,203663,-1,-1,-1,-1,898483,-1,-1,430516,477509,184523,570158,-1,667855,948487,-1,-1,594549,-1,191809,359257,-1,-1,-1,279807,680274,-1,-1,366813,445990,-1,470354,474716,-1,202987,-1,619571,-1,536196,348823,-1,242238,859765,941948,954388,-1,-1,784087,-1,-1,-1,193453,-1,-1,309126,639272,848896,644095,-1,-1,-1,-1,-1,106907,4364,16885,491042,941558,122294,-1,-1,-1,-1,458869,42602,-1,372781,-1,76240,302487,-1,902161,302137,-1,-1,-1,-1,451428,-1,-1,-1,256061,-1,-1,-1,-1,-1,-1,514492,-1,-1,472599,755022,494317,687159,-1,-1,635920,-1,466551,913169,250295,771925,461880,-1,-1,-1,568041,680913,-1,233471,-1,-1,845719,667822,744694,-1,-1,404145,-1,-1,-1,238373,-1,-1,-1,714033,990622,641823,644939,-1,758949,-1,140697,562537,528484,786433,598923,555757,192429,-1,726395,349509,-1,-1,-1,600021,444583,860046,242259,-1,-1,237260,-1,-1,-1,-1,-1,705540,-1,-1,163266,249662,504418,-1,248848,-1,-1,869545,34495,60732,114226,148639,-1,-1,948768,231376,596793,-1,-1,-1,-1,569342,65805,302301,273397,-1,760045,785741,-1,-1,-1,-1,-1,735267,-1,-1,35266,-1,-1,-1,809211,-1,-1,-1,-1,-1,170625,-1,-1,486630,-1,276777,-1,763248,-1,-1,129053,-1,-1,766829,-1,-1,348963,-1,-1,-1,362440,-1,-1,-1,706014,-1,788859,-1,-1,-1,449311,-1,231689,648681,726230,387070,400665,-1,301400,798999,309693,695935,-1,100117,663606,668363,618526,-1,-1,-1,-1,599307,-1,95175,697839,-1,893197,412155,-1,-1,121854,132160,-1,86389,-1,-1,370334,548206,304914,-1,-1,529199,-1,283784,423615,-1,-1,961157,-1,-1,-1,-1,716226,-1,668694,-1,-1,-1,-1,903190,824378,-1,705429,351613,818288,839006,-1,525728,358690,84892,8810,-1,481389,276743,-1,119468,362638,377005,248478,-1,959455,52520,-1,839605,456292,806151,24092,-1,684136,960169,977483,261772,999213,850919,-1,-1,953325,-1,-1,-1,-1,327238,881504,699515,591185,-1,-1,309141,381879,150082,119292,-1,-1,933531,-1,823347,963209,49250,288316,-1,-1,-1,654802,-1,-1,559232,-1,464794,638523,-1,-1,-1,-1,-1,463119,-1,-1,-1,421080,672797,922113,-1,-1,482015,346912,586751,269079,448941,-1,-1,437003,-1,381317,481930,-1,-1,-1,86099,346288,-1,-1,182604,-1,-1,-1,-1,-1,-1,-1,21752,336484,466089,-1,19317,-1,-1,246481,795010,899655,844240,-1,555469,-1,432040,-1,297219,638981,402277,734112,737185,341857,226421,-1,300313,-1,-1,-1,680392,322817,-1,587300,325554,-1,458119,207481,810553,121413,204302,-1,-1,79650,-1,883120,810467,448840,-1,-1,986582,-1,643798,359924,785847,-1,706622,-1,-1,-1,-1,-1,88547,-1,123529,-1,-1,-1,-1,136408,794147,158176,417521,805595,-1,-1,692431,140049,524273,-1,-1,19195,832521,-1,-1,-1,-1,-1,217830,435908,-1,-1,-1,672761,-1,274908,938928,247351,631583,259297,703012,-1,568812,930081,697444,-1,820590,493364,-1,165041,-1,-1,-1,952127,-1,-1,-1,865096,739310,-1,222544,-1,768949,341774,98974,204112,155242,-1,837318,531355,-1,-1,97103,-1,-1,398182,472977,550693,431253,-1,-1,-1,311514,-1,-1,971595,-1,-1,-1,438837,430489,920401,796282,-1,989672,-1,930918,-1,727538,-1,-1,151884,-1,832735,258240,-1,-1,328781,652487,-1,607804,350746,-1,-1,928792,-1,504950,-1,726387,-1,817503,437168,-1,190365,-1,665720,-1,101477,880568,912346,-1,-1,836629,315004,974735,139676,-1,-1,-1,-1,546653,422363,-1,-1,323475,171867,989352,259498,-1,352144,-1,700154,-1,597466,-1,-1,-1,614756,-1,20541,199624,851049,-1,942366,597729,222190,-1,86718,-1,-1,-1,713231,595388,999907,-1,-1,-1,131684,-1,-1,77291,916886,-1,-1,573340,-1,529806,-1,309646,-1,-1,510157,758754,-1,-1,811288,921401,128118,-1,11702,321266,-1,783856,410918,523588,639577,394429,177431,-1,-1,-1,-1,-1,-1,397745,371167,296985,-1,-1,-1,-1,-1,828893,463025,865634,-1,890251,-1,-1,490313,-1,246435,-1,146302,-1,573952,-1,246455,-1,454054,-1,637377,201216,-1,672899,-1,378259,-1,56906,186658,419576,775877,-1,-1,-1,-1,633076,133311,-1,-1,724200,-1,-1,555190,-1,-1,985284,60424,-1,632615,741441,-1,-1,-1,838443,185926,-1,-1,-1,592830,149727,-1,-1,-1,200903,-1,890659,-1,-1,-1,-1,899399,189845,-1,767225,-1,-1,-1,605414,-1,253506,1208,-1,607808,-1,-1,-1,665953,604158,233886,194653,293953,-1,4434,-1,-1,-1,1024,66438,62712,179562,-1,822633,-1,-1,764078,137170,-1,-1,491884,366296,278766,-1,231248,-1,243064,409803,-1,625582,211456,-1,-1,767481,163536,-1,266891,-1,-1,-1,-1,-1,-1,-1,723796,-1,197296,169587,556935,-1,131609,-1,447193,813629,330720,-1,73916,-1,-1,328708,170054,-1,-1,-1,214505,535384,-1,-1,299355,-1,-1,637387,-1,666344,242341,-1,-1,-1,-1,727812,-1,359764,946442,-1,379126,-1,283663,-1,-1,546990,767891,694854,-1,-1,648755,-1,608086,-1,269038,324445,184095,-1,685908,-1,277253,-1,-1,-1,278453,691164,323155,-1,766131,671158,-1,55763,820195,886578,7871,-1,-1,906626,998496,-1,343788,785702,-1,122153,-1,-1,-1,-1,414591,554282,18427,733423,-1,-1,140388,406100,60837,-1,-1,47989,290440,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,324260,672823,-1,754553,339727,469112,583441,765812,-1,770825,395802,-1,-1,-1,-1,-1,682295,639093,532065,497678,-1,410727,699419,550337,-1,284412,-1,329222,-1,-1,-1,-1,682974,640748,-1,-1,247040,-1,-1,-1,834781,-1,824908,-1,680823,-1,-1,-1,650885,507987,999851,476306,-1,-1,957070,535073,581029,-1,-1,939410,-1,-1,387874,502922,118554,1322,-1,-1,-1,800920,-1,-1,169787,-1,-1,-1,331152,-1,741099,-1,809384,628066,-1,76560,889305,708782,-1,189201,8555,-1,450550,-1,58185,-1,-1,373654,303150,-1,-1,934172,-1,506388,-1,-1,-1,-1,46863,113746,-1,179689,-1,-1,-1,-1,10396,-1,25748,-1,-1,853331,586939,697069,558235,787015,606489,751200,460433,-1,-1,53976,932906,-1,52471,517884,-1,-1,887546,2979,375847,-1,507335,744736,132010,238998,889518,-1,-1,-1,833781,-1,119737,91451,600926,195300,-1,-1,-1,270601,-1,362369,924536,-1,-1,-1,60894,404374,-1,-1,633287,996526,-1,849399,497684,-1,238058,-1,399677,874556,937166,522216,723474,-1,905462,-1,-1,-1,-1,-1,525330,246850,-1,-1,482951,-1,-1,-1,-1,-1,162542,839909,-1,-1,702297,828064,271273,-1,-1,-1,-1,-1,-1,-1,984804,323504,81054,-1,328825,586082,-1,-1,241411,274718,136771,-1,-1,-1,945941,-1,982542,197292,-1,-1,-1,589867,662776,-1,-1,104318,-1,667881,172655,628885,-1,562709,-1,-1,114451,536501,788598,455823,-1,376275,-1,856040,227979,472733,-1,626013,-1,988566,802091,-1,876168,746369,803593,82491,424706,23753,-1,-1,-1,916589,-1,-1,113246,473105,51061,-1,824260,-1,-1,337700,-1,-1,685374,-1,239558,700185,488788,181547,191783,5264,82465,-1,-1,-1,-1,-1,-1,774346,-1,448994,357061,-1,-1,669701,-1,483591,-1,-1,-1,-1,824280,672224,-1,-1,-1,-1,-1,-1,233085,-1,-1,94763,-1,-1,609255,922672,-1,-1,-1,-1,886930,-1,-1,-1,561518,-1,-1,-1,643034,945811,761021,258253,443697,55375,-1,-1,-1,711853,663533,-1,-1,425512,-1,435785,-1,966039,321651,737869,-1,-1,-1,274282,-1,865320,-1,-1,-1,44620,-1,-1,297465,-1,711386,-1,599892,181688,601226,-1,-1,556206,372752,-1,44816,617599,954028,483462,-1,-1,849467,668418,910443,-1,-1,154808,-1,516574,-1,731488,845279,595754,-1,-1,101247,605696,-1,-1,-1,177287,-1,-1,287057,726080,-1,-1,790410,58196,761027,-1,497216,182786,-1,706361,610115,-1,470400,912170,253010,442317,-1,-1,-1,158454,-1,-1,522633,601687,369330,90197,-1,304363,-1,-1,213817,661441,152901,-1,-1,807907,145658,-1,790585,209109,581285,760476,190856,699925,-1,236403,-1,-1,-1,-1,541391,247927,-1,-1,599488,-1,338412,811700,-1,425854,655717,651475,-1,425381,329223,97106,630526,-1,-1,-1,-1,866642,-1,691453,-1,796583,-1,502897,286548,-1,932644,901965,256469,528751,-1,684442,-1,811245,831811,365683,-1,133045,940836,-1,582042,-1,-1,-1,-1,531640,506713,-1,-1,861513,-1,-1,-1,-1,-1,58519,-1,-1,47228,-1,-1,756725,827214,-1,-1,-1,332226,810166,-1,339035,-1,303715,-1,-1,866176,774801,398708,-1,-1,-1,167570,-1,-1,-1,-1,987312,3462,-1,949101,45271,-1,-1,164055,-1,453827,768143,-1,659909,136807,-1,868589,883102,-1,-1,708532,-1,748160,73631,-1,371414,915832,-1,-1,721569,-1,995098,-1,-1,-1,-1,-1,142471,-1,560905,528606,-1,-1,-1,999278,-1,119490,861742,-1,837067,52185,-1,749018,-1,-1,877451,688264,-1,190620,-1,-1,125583,-1,-1,-1,-1,-1,-1,-1,894390,138999,233913,342153,766603,443518,682141,-1,417500,141040,687398,294516,3155,-1,417483,-1,-1,849683,-1,1856,-1,508926,994726,984,961673,-1,622697,-1,-1,442842,699856,-1,576846,338856,892106,940765,-1,-1,706037,-1,453242,-1,799811,968609,-1,-1,646181,767044,286246,578333,845297,791708,-1,386852,-1,-1,-1,-1,444908,230704,817749,256857,-1,651982,-1,694581,441464,484472,-1,457137,159751,-1,-1,237302,-1,617731,821947,-1,9368,361194,-1,-1,39235,963944,-1,-1,-1,897293,877233,-1,149849,189710,499889,-1,-1,-1,376603,-1,49770,893433,844737,121161,-1,-1,-1,-1,-1,-1,-1,-1,612125,-1,-1,471744,-1,470579,516042,-1,191246,175034,308575,803345,-1,925829,-1,-1,490949,-1,-1,278792,473997,-1,-1,387641,-1,-1,-1,947362,225404,403922,-1,799708,506302,576113,782187,106374,-1,71657,-1,-1,-1,879660,720356,-1,728398,-1,808477,403870,780863,-1,102491,-1,-1,-1,781381,255317,864326,253547,502236,662458,-1,-1,915765,-1,527236,-1,664955,-1,63270,793659,-1,228352,434888,-1,434860,-1,-1,-1,751316,-1,-1,772976,705119,-1,-1,-1,-1,255024,468443,305600,-1,-1,863942,-1,-1,46208,-1,-1,68638,-1,-1,-1,616275,936074,-1,-1,-1,741831,927611,-1,-1,-1,-1,-1,63000,173604,-1,-1,999607,856390,782602,-1,-1,553173,209927,73165,-1,777456,-1,-1,-1,-1,57022,893927,-1,-1,66180,568125,-1,338350,861777,-1,-1,894991,36298,403096,-1,193521,98866,86715,-1,-1,-1,-1,-1,-1,309777,-1,-1,615505,-1,-1,-1,-1,-1,-1,-1,341567,362616,-1,573796,-1,267047,-1,-1,-1,-1,57389,-1,-1,863747,-1,-1,-1,369458,818315,542223,753813,-1,404791,-1,529058,-1,566742,484090,152054,332944,-1,-1,-1,803713,-1,-1,494433,637393,232665,-1,469210,-1,-1,284155,-1,332841,-1,-1,661442,-1,303634,695398,-1,-1,313592,-1,-1,-1,623541,-1,587679,209784,-1,954096,336631,909450,-1,313376,51460,587726,749459,-1,855382,-1,619193,418267,957446,744287,-1,-1,-1,465348,821935,709730,-1,978782,-1,-1,33808,338813,-1,-1,610860,-1,49146,-1,-1,-1,696896,-1,-1,-1,61744,865757,-1,-1,-1,-1,-1,-1,653611,-1,-1,737094,-1,-1,927788,576357,804749,427420,290445,-1,-1,-1,-1,573465,-1,-1,-1,-1,662657,-1,-1,-1,700684,670784,-1,-1,367897,285594,749435,194455,16995,159165,199028,-1,634322,-1,-1,195518,-1,831006,-1,-1,-1,3693,737519,-1,-1,64844,164155,-1,-1,-1,208074,-1,-1,657983,-1,-1,-1,-1,763072,129706,-1,385329,-1,-1,437422,369591,614939,644327,115259,971027,-1,833050,-1,-1,46887,844550,630936,639003,-1,507514,-1,-1,-1,272128,-1,88414,-1,871268,31942,-1,-1,368942,-1,919065,-1,723453,805883,201804,851656,-1,-1,586290,-1,-1,13514,-1,-1,38604,-1,117129,-1,-1,-1,336325,-1,-1,-1,844163,-1,880506,-1,468706,-1,-1,-1,504872,-1,981511,667783,990466,220522,502987,85780,213185,-1,627318,-1,-1,683596,824000,-1,588027,873354,398142,-1,-1,521297,576355,-1,809815,-1,-1,-1,-1,-1,75077,565001,379804,-1,-1,-1,125762,-1,509691,769654,970164,-1,789437,438728,655038,-1,638279,303916,214143,-1,-1,-1,698618,988561,356729,738055,532943,263280,-1,660233,-1,-1,-1,695867,-1,-1,763667,-1,955006,611920,9375,-1,-1,-1,626739,507872,-1,-1,689356,-1,-1,567790,483722,-1,-1,-1,648007,692817,25907,-1,-1,-1,374436,-1,50102,-1,143933,-1,803050,526878,742251,694479,215361,-1,-1,252774,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,540213,109640,-1,-1,952642,596440,112787,-1,-1,-1,-1,479509,379219,-1,-1,804119,415269,582125,-1,-1,223583,-1,-1,857837,-1,-1,-1,-1,-1,-1,-1,-1,-1,415046,-1,-1,-1,976326,275698,-1,362499,840614,-1,456736,-1,155269,-1,470788,813309,-1,-1,-1,-1,679403,-1,958914,-1,893812,-1,-1,420325,166091,-1,965057,637541,668016,773750,-1,128334,538269,232671,16596,-1,31104,629086,237428,-1,779382,790516,369169,291380,811390,-1,416759,288764,-1,416990,235428,883328,439450,216518,-1,-1,-1,511337,115079,502986,338403,-1,-1,729815,737967,646559,840079,-1,443855,-1,-1,52485,683599,-1,-1,-1,271375,64419,-1,-1,117194,-1,891598,550716,306699,-1,-1,-1,-1,-1,-1,-1,745639,539857,-1,-1,938287,398817,-1,-1,-1,-1,-1,-1,774656,-1,686995,98391,-1,737213,149300,826641,401718,-1,177645,685332,904685,-1,622788,-1,584966,-1,875697,814509,713360,678847,562257,257414,-1,-1,286413,-1,-1,395433,-1,678043,-1,989778,754149,724768,918380,618477,383555,-1,-1,782561,-1,529386,502863,-1,542970,582742,-1,-1,620065,707534,-1,287977,31554,551848,-1,406706,763654,-1,948917,873008,158519,689626,-1,-1,525900,21802,491972,558655,964537,-1,-1,-1,636115,-1,-1,-1,-1,-1,-1,966724,-1,-1,730309,468908,733882,-1,-1,62525,-1,66829,604851,455093,-1,653888,-1,-1,-1,35579,414146,807741,993613,97111,-1,866383,-1,-1,123595,318803,-1,910890,-1,672300,-1,-1,-1,324656,-1,440164,-1,419977,-1,996361,360038,164436,445289,-1,-1,-1,-1,-1,285757,84489,22817,-1,379719,251196,-1,599142,368211,74491,732478,-1,-1,23532,-1,298896,-1,-1,-1,473198,296359,-1,-1,-1,103437,-1,489413,-1,-1,-1,357017,418427,43816,-1,-1,-1,31560,-1,845170,884330,997748,-1,903023,-1,-1,624318,-1,292024,517272,211402,-1,538,-1,63258,580053,871807,819227,-1,-1,16468,834217,-1,125116,592432,973036,-1,606168,409514,-1,69136,569134,-1,771302,-1,811470,-1,431061,478850,147162,243199,554475,-1,580028,291713,-1,873241,422178,-1,906880,-1,415778,-1,884721,-1,345136,135466,-1,984395,-1,932808,-1,649972,-1,647775,-1,876315,818593,593823,-1,902181,563623,-1,305391,857456,-1,198232,387039,783328,952017,-1,-1,910400,199189,98251,-1,113942,-1,534426,113213,723549,702930,-1,-1,252686,811904,-1,881221,194431,-1,837306,457865,836319,-1,961170,969705,27447,114971,-1,-1,-1,-1,595282,-1,381686,176752,-1,484566,-1,-1,295296,-1,697974,-1,472027,640349,-1,470994,30276,283921,-1,-1,-1,-1,643610,-1,-1,-1,253012,220577,56024,-1,605333,-1,-1,118298,-1,-1,-1,571762,-1,647373,436137,171258,-1,635574,530508,-1,-1,495867,-1,8752,-1,-1,-1,-1,109960,-1,221312,457712,-1,116699,121392,25920,-1,274102,943186,-1,-1,-1,-1,77800,527032,-1,5496,502320,-1,780486,-1,-1,-1,-1,355417,592593,720849,718715,54432,-1,340254,756579,474700,912528,-1,186445,89157,-1,872201,366821,570663,-1,972101,-1,655907,996356,882214,694715,931039,991251,27323,-1,906138,105283,31035,528355,-1,49429,841891,765348,-1,674335,-1,-1,230139,770445,631395,763989,786192,227918,458013,107528,-1,220721,11409,-1,-1,174899,-1,-1,-1,252164,134859,-1,849545,685572,-1,-1,537285,320665,-1,356070,-1,966324,774739,233077,33264,-1,-1,-1,721553,404342,34355,935058,273608,-1,-1,96120,-1,-1,615537,46510,759614,-1,-1,-1,-1,-1,-1,260506,-1,-1,830024,562422,993769,994341,142096,62635,778175,151995,-1,387679,-1,-1,893991,621778,433701,286150,-1,-1,-1,658531,-1,514185,-1,-1,-1,927087,-1,-1,115146,-1,-1,420344,545475,744783,25678,-1,-1,-1,-1,-1,-1,586239,-1,-1,751445,833519,-1,-1,-1,-1,-1,895920,-1,547160,183814,591019,729412,-1,722227,-1,-1,721204,103492,-1,335098,376646,838990,895902,195172,267890,-1,393157,268511,-1,881949,-1,-1,-1,-1,940190,-1,439880,106126,-1,-1,339057,-1,-1,-1,-1,627827,161340,-1,798687,666952,532518,-1,71563,53616,605225,-1,-1,808202,609218,-1,-1,337890,-1,821820,-1,-1,237380,69111,331719,-1,-1,-1,170429,107021,157414,840385,-1,-1,181713,382023,674341,812213,-1,769918,487830,692701,-1,909134,-1,-1,179623,664474,-1,244012,-1,-1,-1,679847,987864,463717,-1,-1,-1,80775,533937,599123,-1,-1,-1,-1,-1,-1,945156,72847,954558,-1,114878,-1,-1,271597,374375,-1,648449,-1,-1,-1,-1,-1,6297,281221,-1,635317,-1,-1,972218,846494,829925,792093,385803,-1,-1,-1,-1,-1,-1,209445,-1,-1,-1,-1,-1,634498,-1,156477,9188,-1,640649,-1,339396,648327,576393,733436,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,600371,386915,-1,-1,356703,-1,-1,484186,831552,188275,316585,323808,-1,68314,453851,-1,15705,-1,-1,-1,-1,-1,-1,241935,39244,-1,-1,-1,-1,770653,-1,11298,283519,-1,-1,-1,-1,857009,488643,-1,746579,-1,865211,681291,348945,-1,-1,-1,914842,-1,816823,221265,929076,915843,-1,-1,-1,766928,970743,-1,929372,829391,225835,-1,333302,884992,792951,15271,127605,-1,-1,-1,-1,396559,-1,23736,936769,585464,-1,-1,317851,-1,56092,-1,-1,721133,361053,93957,830622,-1,598339,-1,-1,-1,887359,732687,-1,552838,806324,-1,-1,-1,-1,-1,-1,101840,-1,-1,664716,-1,-1,-1,-1,862455,343817,-1,-1,-1,-1,-1,235454,994854,826309,103529,618384,337545,-1,124094,500554,322779,985382,-1,-1,254823,724944,-1,727408,979601,17645,143784,-1,-1,-1,319022,907768,-1,491053,359229,876984,-1,-1,-1,-1,983094,-1,-1,-1,86903,-1,584322,358669,938845,439353,-1,-1,-1,434906,829319,-1,655334,724688,-1,-1,-1,-1,488835,273791,-1,689707,375126,558275,-1,274378,210384,519354,407780,-1,-1,531086,-1,293691,-1,966496,189362,909176,409351,-1,80082,332655,369534,523538,473637,-1,-1,759088,392219,-1,-1,73080,-1,-1,-1,814755,111824,809611,-1,-1,30029,840087,990323,-1,134411,181204,138841,-1,-1,245506,-1,359105,16641,75352,-1,-1,303019,-1,632589,104002,-1,936118,-1,6704,763361,-1,946731,-1,-1,-1,-1,469237,-1,-1,770822,-1,-1,22458,343893,470555,478491,-1,-1,512122,-1,-1,959106,-1,-1,890244,-1,-1,982990,-1,-1,112963,294901,566213,964981,-1,200825,945274,983995,-1,149891,-1,-1,6933,-1,-1,543818,-1,-1,-1,746582,674851,318094,943759,-1,-1,993531,327301,475791,-1,-1,-1,808891,-1,-1,-1,-1,-1,394907,-1,471665,829219,377380,-1,501189,869324,455840,-1,-1,-1,-1,-1,888210,484292,-1,144936,869377,903390,-1,-1,145356,-1,-1,394257,997320,-1,973905,10294,-1,-1,806162,316723,-1,-1,996124,82255,516937,-1,-1,923214,980769,-1,355622,-1,693170,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,154732,212249,-1,661205,-1,-1,951241,234091,-1,-1,-1,-1,273897,-1,-1,-1,-1,-1,-1,433407,-1,526565,13926,743868,-1,236628,236361,-1,-1,641600,300661,404275,-1,-1,161808,-1,-1,980171,347270,534864,-1,675037,-1,149822,-1,618644,387480,338338,67726,-1,-1,-1,543001,967874,-1,856721,558037,-1,306751,581950,254682,444342,133701,759056,669390,-1,-1,-1,-1,414283,861824,558634,-1,-1,-1,688033,626210,692317,-1,-1,36165,377192,-1,737291,-1,305589,-1,-1,-1,-1,642831,-1,295362,603351,937922,830181,-1,720282,-1,856561,833679,-1,883894,-1,-1,384417,250042,655926,-1,-1,-1,-1,-1,-1,479653,-1,368386,-1,-1,-1,-1,23735,-1,468643,898850,-1,424125,134923,756865,428261,-1,927187,-1,939312,885237,811542,761577,-1,1990,270897,193149,-1,-1,144202,739940,-1,117248,403119,203005,-1,512323,-1,-1,-1,15601,816726,-1,-1,680238,-1,-1,-1,-1,-1,-1,-1,-1,675101,-1,473951,-1,-1,-1,-1,-1,173063,49548,-1,595110,416030,858647,-1,-1,-1,-1,76122,-1,833007,677960,650603,927764,214635,400371,79843,608552,-1,-1,-1,350798,725556,-1,-1,-1,937197,442444,-1,823220,-1,75318,284721,311494,-1,106868,901317,90647,-1,970891,451818,697518,323926,452382,-1,340262,-1,543447,-1,948121,-1,961246,882377,326023,-1,-1,-1,313339,264161,-1,226989,-1,411907,215820,-1,974568,-1,980141,73654,331138,-1,-1,931684,817868,-1,757644,-1,361079,-1,726350,-1,936091,572446,-1,381507,142178,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,922765,560166,-1,342066,399258,617889,-1,763012,-1,-1,247240,-1,343716,-1,867385,-1,40747,998551,252363,-1,-1,-1,877895,-1,334879,881430,-1,830942,-1,614807,715535,823273,605284,918806,-1,478684,687673,218916,266682,-1,-1,254448,314126,420309,-1,-1,351002,-1,829000,-1,891118,-1,-1,748705,-1,-1,17591,-1,578365,475693,-1,-1,55863,-1,-1,685036,-1,-1,759880,-1,-1,-1,886341,852342,-1,-1,-1,188777,-1,-1,-1,75514,-1,732355,-1,740948,389118,954969,337266,692695,460372,-1,250192,-1,-1,-1,617868,-1,-1,-1,368946,399160,799447,325667,892270,-1,-1,-1,-1,-1,852981,-1,-1,-1,652029,418014,-1,317313,-1,-1,27952,909813,709943,-1,-1,-1,-1,-1,458754,-1,580483,-1,-1,444161,193440,838896,432164,618391,829287,16319,161171,-1,-1,-1,-1,651083,-1,298101,657869,-1,-1,810396,687081,-1,97831,123461,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,589564,-1,800641,-1,757144,287430,362873,-1,-1,87672,205624,382564,426561,652337,-1,-1,-1,-1,-1,-1,297383,831989,-1,4631,-1,-1,175492,-1,-1,-1,808391,-1,-1,-1,-1,-1,563517,-1,-1,476133,805499,854026,807002,-1,566280,-1,-1,-1,-1,-1,920909,-1,607307,853829,21280,-1,605484,-1,-1,901714,-1,661293,-1,233698,-1,49354,254617,-1,793095,412130,-1,-1,316863,-1,-1,884021,-1,22635,829949,479440,-1,160750,661618,-1,958248,54083,278666,698125,523398,396173,13716,-1,909807,414906,-1,-1,342239,95018,-1,192566,440604,685899,561755,211819,-1,573464,-1,809708,884755,533247,295544,751821,259291,541925,900542,418237,-1,760942,-1,250884,521724,668213,-1,902646,-1,519327,575146,364660,-1,377940,-1,-1,581015,-1,-1,994021,488316,-1,447449,-1,-1,273899,-1,487272,873493,-1,688682,327197,-1,-1,553207,-1,819607,344525,196166,387011,-1,449052,-1,946760,35910,30264,-1,-1,858895,-1,642130,-1,-1,266951,912970,11395,-1,-1,901478,225278,964445,751948,-1,283433,389887,-1,-1,406175,689329,-1,-1,579005,-1,-1,8131,-1,-1,-1,-1,-1,-1,217348,681780,160701,-1,249313,371463,-1,664218,-1,346354,-1,503435,852879,-1,-1,528873,274697,410465,178005,-1,178501,608712,69531,-1,-1,477746,-1,751277,891857,-1,602644,-1,-1,841331,979662,982435,-1,-1,799317,916579,541577,624783,-1,189911,-1,164401,-1,711356,-1,-1,486255,-1,-1,975614,142734,870489,-1,-1,-1,350152,867179,730958,-1,648537,-1,708398,509421,557859,529780,-1,255723,-1,580302,-1,116082,875124,-1,-1,660758,-1,872659,337050,-1,665661,726981,-1,-1,889829,-1,-1,355868,887748,-1,389262,168711,-1,325692,-1,-1,-1,323450,104536,603779,-1,238131,-1,672896,126702,302653,141939,-1,386735,-1,-1,923121,-1,776622,-1,638157,-1,-1,80717,824497,137072,-1,-1,832526,571141,-1,229685,-1,64136,-1,-1,-1,930547,-1,23911,-1,-1,-1,696449,473944,-1,823365,-1,408763,-1,-1,-1,-1,-1,227085,-1,-1,-1,-1,968721,856750,-1,-1,942821,623177,676043,987143,1615,497006,-1,-1,687553,-1,917731,740201,-1,464928,914696,390227,-1,-1,-1,-1,937746,-1,-1,-1,-1,452985,-1,-1,799586,-1,-1,530654,768158,281648,406845,-1,130154,-1,101838,-1,-1,227011,67682,-1,854726,200009,504146,-1,651751,-1,944533,-1,770614,-1,74614,499907,119038,-1,-1,-1,657108,-1,-1,-1,-1,-1,-1,668027,690169,-1,115526,-1,-1,-1,798986,120179,-1,-1,697009,-1,535026,877792,-1,889383,-1,-1,-1,-1,-1,549209,429813,920012,673356,343784,-1,-1,184544,-1,746020,161810,902215,-1,78531,-1,948069,645906,585415,-1,-1,625448,810861,6018,460664,268947,-1,-1,737401,466607,148826,-1,-1,-1,132492,-1,-1,690690,-1,566134,433622,97034,-1,-1,84295,959351,884385,-1,191053,969110,-1,-1,-1,-1,-1,514478,-1,853961,-1,415405,863027,-1,397894,-1,749846,-1,102453,783548,204425,773335,809289,381217,-1,428060,-1,-1,-1,579295,259709,351478,-1,260699,891223,-1,722991,-1,-1,698498,567131,-1,583480,-1,733323,-1,128155,505199,-1,984220,506043,880120,-1,-1,579998,367206,298509,-1,148970,-1,-1,237817,815382,-1,-1,694686,-1,-1,-1,122772,585381,323131,453275,678273,137486,-1,633068,-1,87007,-1,-1,140645,-1,-1,760072,970683,-1,848277,378920,336973,366267,-1,-1,-1,-1,-1,-1,672756,905879,-1,827507,143955,654021,475281,482009,-1,-1,397983,-1,-1,487623,764864,825124,-1,-1,699458,-1,328788,962239,-1,-1,770115,-1,933997,819320,-1,446786,749733,-1,-1,528943,-1,-1,-1,-1,591856,-1,-1,-1,-1,-1,198552,953801,-1,-1,306283,-1,-1,642148,730408,-1,491006,391353,-1,-1,436013,-1,998343,622636,-1,903821,-1,815334,138257,-1,96273,-1,56474,-1,967546,758478,-1,948309,-1,309835,-1,484764,864123,-1,-1,882865,737093,294994,-1,567246,569821,422937,-1,-1,602457,942938,-1,444591,-1,-1,-1,-1,-1,-1,18404,97153,917760,-1,-1,-1,-1,-1,176709,-1,151195,-1,530577,-1,-1,-1,371075,-1,982583,182635,-1,-1,-1,582510,717841,217140,571230,237142,-1,860787,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,647527,267000,360814,-1,583318,-1,972963,-1,134233,292678,-1,-1,-1,881244,769321,20106,639424,-1,-1,-1,248971,790228,121018,720339,944376,399537,810150,-1,-1,198441,-1,494395,-1,897453,738232,-1,-1,-1,270797,-1,-1,-1,189394,780236,-1,32090,500663,-1,246345,-1,-1,-1,559987,164029,726074,200541,-1,855470,668555,411438,-1,-1,974108,360297,451514,671198,914369,-1,576877,-1,-1,-1,-1,783897,-1,27099,978687,-1,-1,-1,-1,-1,542617,-1,-1,-1,499077,-1,-1,202495,-1,-1,43077,-1,-1,646316,-1,-1,191990,986797,315170,503166,948041,587860,-1,724101,-1,133982,880197,857441,-1,-1,695475,215651,-1,997921,-1,-1,-1,-1,651173,-1,-1,108980,-1,-1,-1,821747,752041,-1,829447,741580,524388,-1,256522,8385,672223,787348,-1,-1,968670,-1,858652,376000,322380,474752,482466,-1,-1,986755,-1,-1,211955,203938,819415,-1,15829,-1,490755,653221,777289,778331,957348,-1,-1,344955,299805,-1,-1,956686,384937,8503,932200,-1,-1,-1,-1,321664,-1,54525,690293,-1,206817,117840,-1,-1,539287,688114,-1,836553,674500,-1,328798,-1,-1,-1,-1,130289,-1,351458,-1,789507,-1,847037,173118,319720,-1,-1,347097,381399,-1,-1,-1,-1,-1,247737,-1,96442,83576,180824,-1,-1,320625,211035,-1,184140,-1,221242,-1,-1,641205,74088,956780,280747,205181,-1,-1,239038,964653,-1,-1,-1,691224,73867,501294,366786,831506,526457,83517,374761,362885,344519,315993,-1,-1,-1,-1,-1,780265,240181,-1,572358,-1,693446,669747,-1,188029,-1,754099,419658,-1,449983,844595,-1,152692,-1,-1,-1,603098,188610,-1,417014,-1,-1,-1,373819,77363,550512,853480,285232,720790,328493,-1,8825,-1,-1,-1,-1,710745,191190,-1,34484,542450,-1,-1,810326,635156,890033,785905,-1,226933,-1,435914,342448,-1,-1,845499,-1,-1,622597,260417,-1,-1,938080,-1,-1,-1,-1,-1,453661,162074,571384,-1,-1,-1,-1,82653,-1,-1,819720,839449,-1,-1,-1,652769,-1,984926,-1,-1,475312,102317,46752,638431,626446,61571,509801,130040,-1,480957,441733,-1,-1,-1,-1,409330,-1,-1,509186,-1,-1,475167,418276,574841,-1,95153,-1,609156,989549,-1,476320,-1,625984,-1,496382,269057,-1,-1,-1,563199,-1,979415,-1,-1,-1,47215,-1,138561,-1,-1,743322,-1,-1,-1,-1,477852,287259,-1,-1,592306,-1,451362,774831,988360,72399,-1,638149,313189,732512,911789,-1,58430,945272,-1,486240,-1,390236,-1,-1,-1,-1,701944,783017,752895,823673,-1,101472,-1,717249,-1,-1,-1,577210,609733,-1,674183,135088,114177,752661,-1,525985,-1,59923,590715,-1,-1,-1,318007,-1,256765,653919,-1,822257,124898,759753,112526,801545,-1,315126,86825,-1,-1,-1,-1,552128,154233,416170,73286,10102,-1,530212,-1,404427,-1,-1,353033,-1,-1,287236,-1,-1,-1,-1,831043,718014,438154,-1,-1,-1,-1,-1,329355,-1,243592,25938,46396,-1,-1,-1,729788,627083,-1,-1,854383,-1,-1,657750,-1,-1,936155,-1,-1,695754,-1,-1,883123,-1,-1,615724,828935,366111,-1,11219,363971,453079,-1,330343,-1,-1,961609,469652,-1,-1,164282,501790,-1,834704,-1,-1,-1,124737,496000,-1,-1,867518,-1,-1,843827,834352,857012,-1,-1,-1,858212,281785,-1,479400,-1,13454,500758,615630,776733,707049,-1,-1,226693,-1,-1,-1,398409,914262,508674,237066,373890,-1,837467,-1,346648,260707,593113,-1,-1,686161,-1,-1,-1,867325,482697,-1,-1,170034,-1,839611,-1,123997,-1,-1,-1,-1,187859,-1,-1,-1,-1,874310,56554,-1,-1,-1,507220,332956,-1,-1,-1,214396,-1,805445,652910,-1,-1,214616,-1,873789,919680,849302,762338,30777,280158,981532,-1,33756,-1,-1,937245,-1,-1,-1,99329,12638,152475,690282,-1,253135,-1,717211,-1,-1,-1,-1,28375,-1,-1,-1,926732,303105,927161,533906,159321,88388,-1,750788,-1,-1,596418,950676,-1,-1,870823,703554,669076,176194,456668,985498,-1,-1,972708,-1,-1,73363,-1,-1,-1,-1,39515,564143,-1,608607,272847,-1,-1,204340,341176,823024,-1,-1,75023,-1,-1,165038,-1,127650,-1,161479,50078,62104,275781,802193,-1,856482,35884,-1,189399,-1,-1,787313,891389,843937,-1,-1,-1,-1,855032,-1,-1,-1,865434,-1,-1,-1,-1,657364,498701,314918,868007,362413,82382,981032,507853,-1,744833,-1,-1,-1,-1,433897,662411,-1,-1,-1,-1,-1,472417,-1,-1,166977,554834,761859,-1,-1,85755,-1,338082,253211,-1,-1,770504,-1,261168,213479,762040,474690,555486,-1,-1,517647,-1,296831,-1,-1,-1,341240,-1,-1,-1,350504,694840,92744,667266,-1,-1,-1,-1,445837,-1,963858,-1,-1,843278,579236,-1,-1,-1,921353,-1,223902,-1,-1,631111,-1,884907,566937,-1,-1,-1,-1,-1,-1,637761,834418,-1,707978,806725,-1,62833,-1,-1,-1,898328,-1,832089,-1,-1,-1,476906,-1,177899,-1,486455,-1,924776,-1,-1,-1,-1,-1,-1,-1,371094,-1,-1,262285,-1,-1,104533,-1,-1,-1,302773,-1,-1,-1,409808,-1,641851,-1,-1,70089,904217,754668,-1,551987,-1,-1,-1,-1,-1,231642,637034,-1,983242,-1,682347,997368,-1,7785,-1,398656,784559,41566,-1,-1,98684,842109,-1,652574,-1,21979,793626,-1,-1,637698,-1,-1,-1,807403,892252,540438,-1,145611,923856,307162,-1,-1,858159,904360,-1,823603,-1,-1,5257,959527,136464,238935,239237,131563,767816,668029,891508,809425,31246,893893,-1,-1,380295,965877,563710,727530,-1,-1,-1,-1,632439,495012,-1,296573,343801,415425,-1,-1,893757,735316,-1,606074,-1,401921,748603,-1,293551,-1,-1,-1,65377,92333,-1,769818,-1,116107,847991,579741,817827,284069,936501,-1,-1,528411,668451,-1,-1,-1,-1,-1,441894,924459,85742,-1,367225,-1,-1,-1,348324,396670,272153,578885,-1,-1,-1,455618,-1,-1,-1,384566,502956,900005,-1,290328,577971,719348,-1,845296,-1,-1,996017,568856,-1,-1,-1,567502,-1,753735,485929,143978,-1,50467,541399,902271,952631,-1,-1,221315,-1,290020,196477,-1,731543,330347,-1,729612,642195,748333,-1,847879,997005,-1,-1,429934,-1,603033,966752,-1,-1,-1,919428,-1,-1,-1,531105,-1,42711,583362,-1,250514,438597,-1,698923,-1,-1,263865,-1,-1,56347,855940,-1,32349,973578,-1,845921,-1,821512,-1,-1,761188,-1,835370,-1,-1,911022,262154,-1,-1,-1,362347,-1,-1,-1,-1,279674,-1,728244,962459,-1,741922,-1,-1,-1,-1,746651,184583,-1,959337,-1,339584,103675,-1,723792,-1,552392,-1,-1,-1,-1,767515,-1,-1,-1,142141,300174,407035,-1,728268,122720,961953,667185,291457,618990,842370,-1,325877,159923,334566,-1,117047,-1,-1,504971,-1,18442,-1,481726,-1,888601,259126,-1,-1,-1,429254,-1,595092,248826,275135,881102,-1,920645,720049,80545,-1,823167,359880,895706,346252,-1,-1,124153,-1,-1,727587,602681,562895,711036,718343,-1,-1,59888,618519,631047,389259,395409,-1,536402,-1,957692,583594,67762,668364,-1,542935,-1,490855,-1,429830,243340,-1,99923,-1,-1,-1,381125,-1,873150,248611,978726,525676,-1,-1,804588,-1,-1,565306,666359,412516,-1,343060,260071,669882,-1,-1,134905,478440,-1,217671,-1,-1,-1,809530,-1,327662,-1,425912,-1,469071,-1,-1,404287,-1,654618,-1,-1,-1,-1,700892,-1,91178,-1,787139,883113,271389,-1,-1,-1,926800,-1,40314,378326,-1,-1,54806,83686,413225,-1,-1,726532,-1,725079,-1,836554,195575,-1,591656,513120,-1,103063,283845,-1,798155,442634,-1,-1,-1,330420,-1,355904,34608,-1,877025,952715,-1,537365,-1,875912,-1,866199,-1,-1,-1,-1,-1,555816,-1,-1,36036,-1,486663,-1,902990,974157,769353,288942,-1,143150,-1,-1,469937,-1,286394,-1,144867,-1,460830,126471,145249,-1,899683,-1,-1,-1,434070,-1,519129,-1,-1,-1,-1,307094,509617,-1,-1,-1,674687,-1,-1,689452,516653,566685,522426,980514,-1,-1,-1,524913,610404,482955,-1,658361,-1,153534,852988,645711,-1,214452,-1,42387,-1,442904,456601,-1,-1,122981,279765,416119,-1,-1,570990,-1,629075,631619,980337,870519,-1,-1,215823,386426,277314,113351,809668,-1,-1,-1,547313,679961,450324,-1,-1,499893,290424,-1,976245,421764,103816,-1,475682,457563,685251,158870,-1,320358,376866,218008,-1,421170,-1,-1,-1,821260,273291,-1,-1,-1,-1,-1,-1,284779,-1,311841,-1,819896,-1,-1,641561,841014,-1,-1,-1,-1,791107,-1,-1,485824,-1,-1,520294,524933,-1,-1,-1,-1,966088,-1,-1,-1,-1,969703,-1,322471,-1,203351,-1,643353,595849,875089,431601,-1,-1,321658,-1,112765,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,62368,-1,842706,289572,-1,10973,-1,-1,298916,766032,268941,143030,717056,-1,-1,125722,110884,-1,316531,509628,670987,749825,600884,-1,661071,-1,46897,-1,-1,-1,-1,-1,522221,-1,422060,-1,494078,153659,34665,-1,-1,-1,-1,400596,-1,371321,902529,-1,-1,481901,-1,-1,-1,704882,25005,-1,-1,-1,-1,839293,731034,48289,822094,701230,-1,499171,-1,466860,-1,253029,-1,456501,-1,795211,-1,40151,-1,896626,-1,886702,-1,852975,470335,136647,39476,-1,541153,371192,-1,845746,514603,-1,-1,826325,-1,298118,625102,518484,972448,-1,-1,527189,680684,-1,-1,294325,873413,993496,599243,-1,226093,-1,652189,479201,753113,716436,939661,-1,220096,-1,-1,-1,964462,-1,525717,-1,269719,-1,308314,904886,-1,-1,817778,853866,380740,-1,640178,830270,-1,-1,736079,39040,743863,-1,-1,-1,-1,230390,-1,738433,863631,544774,-1,671620,-1,261371,-1,405862,136146,98417,-1,438696,503979,-1,621805,52881,-1,879792,-1,-1,771771,-1,-1,-1,-1,-1,933749,-1,-1,-1,742889,-1,-1,1571,679782,387336,-1,732426,-1,-1,618676,106591,-1,174470,863321,695817,-1,620428,692657,-1,-1,749035,-1,-1,267036,-1,358805,-1,-1,369651,701193,687041,-1,239522,-1,109293,-1,592247,645420,840266,683845,-1,-1,952006,223810,337649,-1,585418,785149,-1,-1,-1,-1,287657,866996,589328,-1,-1,-1,648058,775291,804615,-1,507719,-1,-1,-1,868856,810078,-1,-1,-1,730390,-1,-1,-1,32528,528588,82822,-1,-1,664070,635171,806476,-1,-1,-1,633652,-1,628981,-1,827369,466395,-1,-1,-1,-1,-1,-1,841445,945391,-1,980053,593575,165980,-1,377301,364529,-1,-1,-1,-1,-1,643678,313323,309108,502868,146561,727922,417935,638861,-1,-1,82015,-1,500140,163930,712568,389223,222417,-1,-1,352643,-1,-1,361456,91139,-1,771117,623087,-1,-1,192156,-1,-1,-1,553244,-1,-1,-1,-1,989996,-1,-1,88204,881095,-1,559132,366653,-1,-1,485921,585738,-1,-1,808875,442430,284615,363786,-1,868142,-1,-1,308076,667941,541616,937891,387920,-1,-1,-1,453317,-1,-1,-1,967157,85171,507358,459258,562638,302090,-1,698377,548181,179249,-1,-1,383240,315519,906581,721070,-1,-1,-1,-1,-1,637236,-1,-1,969993,-1,-1,623014,-1,591174,-1,395476,457876,840703,-1,-1,748265,-1,-1,-1,-1,226384,869194,-1,18041,717420,263375,745986,660433,-1,-1,-1,300589,-1,-1,395747,-1,412767,907416,500556,370896,490374,-1,-1,-1,131705,-1,-1,127958,-1,267103,-1,923732,720598,129558,-1,-1,-1,56139,5310,936452,819614,543526,347638,630604,948022,888949,-1,-1,696587,722377,-1,853289,953059,-1,-1,-1,249122,884350,65051,85715,84026,-1,-1,-1,894111,-1,-1,285353,-1,921061,-1,804476,511096,164568,388391,-1,-1,585723,-1,491515,-1,558334,164355,873806,-1,773858,219069,556381,-1,410489,-1,-1,89795,634955,-1,-1,-1,-1,628011,591096,37209,690176,-1,974798,213756,-1,-1,642806,228998,-1,443958,425164,819942,-1,-1,816479,269684,-1,-1,-1,44872,-1,792488,-1,961470,916055,-1,27577,243229,495336,-1,194692,-1,-1,-1,-1,-1,-1,609216,-1,342301,215153,-1,-1,137912,864001,-1,170083,581979,-1,445879,810532,-1,573605,743785,-1,-1,-1,435067,27238,867634,-1,692,987849,813125,70690,62700,-1,-1,869806,274155,-1,999141,-1,-1,-1,-1,175342,-1,-1,-1,-1,-1,743429,814469,-1,-1,218356,649022,-1,595086,-1,-1,-1,242830,227661,332057,-1,414424,878517,973103,157464,-1,-1,-1,-1,461952,-1,-1,372731,699478,-1,906849,993529,131767,965314,28821,-1,-1,820139,-1,-1,578398,-1,-1,-1,812216,697609,984119,901761,121129,308838,746747,817117,503935,-1,523017,908051,896777,-1,-1,-1,229999,700067,51560,400061,-1,386184,522638,281379,732335,195087,-1,231811,-1,-1,50235,-1,896567,154889,-1,218878,654319,358514,-1,864181,871129,-1,-1,357983,-1,252578,-1,-1,461435,-1,230016,974639,913257,-1,-1,907751,-1,956671,-1,-1,-1,-1,390848,350186,-1,233428,73435,742944,871696,120568,595036,35507,-1,-1,430027,-1,-1,876817,-1,-1,278858,678096,314712,78761,598972,713545,900408,164087,923924,158979,909244,-1,946595,144605,748398,-1,832063,-1,255365,804650,662677,438969,-1,-1,525044,-1,654011,-1,-1,923884,-1,256554,-1,-1,-1,-1,-1,806161,239543,-1,-1,-1,180014,-1,22394,-1,379895,387692,182794,492052,-1,-1,-1,-1,-1,186606,-1,-1,280779,336301,653716,492518,-1,898786,-1,-1,793858,393895,939402,230940,-1,-1,228537,-1,-1,736262,-1,-1,-1,217092,-1,250760,-1,438641,-1,522238,-1,-1,295376,-1,314588,108681,68823,-1,161498,413044,-1,-1,-1,568095,699403,846040,4217,63028,667082,660102,120991,326815,289266,855845,-1,-1,-1,660834,-1,376520,78160,34412,-1,624151,643174,-1,-1,-1,-1,825988,-1,395862,238964,596704,959807,863073,706094,881686,963963,177030,45409,-1,-1,779923,829881,-1,-1,767562,257440,564782,-1,525682,-1,-1,509392,154491,554778,828476,-1,676592,538644,-1,885322,908644,-1,941592,214727,-1,301961,378161,-1,-1,-1,254477,-1,-1,443870,-1,-1,-1,22030,-1,259035,210079,426942,597047,-1,-1,-1,390247,-1,162451,414266,-1,-1,151819,-1,30599,700700,374541,-1,64014,121910,-1,692282,-1,658131,475614,-1,-1,116962,344844,-1,-1,637555,511526,-1,81926,194118,343783,332708,804667,20271,425360,662931,376016,-1,804292,498082,-1,-1,3708,866737,243034,994978,788672,234446,70535,-1,-1,774637,-1,-1,-1,415448,816118,919465,-1,-1,386441,-1,597001,-1,524123,656764,-1,-1,15834,-1,493439,12239,264056,802011,245376,306187,905348,935738,481440,94407,-1,222603,283853,209573,-1,-1,-1,852232,-1,-1,-1,-1,75226,190086,-1,-1,-1,-1,244068,643063,152037,155132,140885,-1,-1,-1,-1,-1,-1,-1,-1,-1,776556,800995,-1,225098,-1,-1,891724,475113,109579,130642,-1,104159,787512,-1,-1,-1,-1,567033,-1,-1,101969,627379,-1,-1,-1,-1,-1,311000,927250,-1,-1,166172,617118,-1,-1,-1,399790,850749,638027,715070,887130,659084,603413,438150,-1,340876,-1,-1,-1,-1,-1,333459,375631,895153,-1,334924,-1,-1,-1,224140,584872,-1,-1,786917,203023,-1,-1,480090,-1,-1,319920,867039,-1,-1,908670,187052,-1,-1,818081,-1,-1,-1,-1,-1,-1,-1,744782,-1,-1,-1,-1,193457,840426,699820,856631,93018,-1,-1,597601,-1,-1,-1,701495,87654,-1,190594,955702,78664,-1,-1,453098,-1,-1,-1,779334,72791,475359,279228,532866,-1,-1,-1,-1,-1,-1,-1,-1,326726,615441,-1,235124,-1,-1,-1,-1,-1,-1,-1,417274,944481,243102,918306,156218,121999,372742,308047,992840,310069,36297,-1,255543,-1,928968,972627,-1,144743,647637,-1,536807,325433,574581,11462,-1,-1,-1,208723,721746,-1,-1,-1,-1,377615,-1,739889,882906,-1,252276,542346,-1,-1,-1,-1,-1,726542,-1,597841,-1,-1,-1,-1,706890,752864,528083,-1,-1,158665,500457,-1,-1,-1,185124,-1,-1,559580,255711,216305,422844,548476,955095,797628,310770,846728,-1,733248,-1,364488,-1,-1,838408,-1,-1,-1,-1,343828,426970,-1,-1,969443,841604,-1,336381,-1,-1,757978,-1,-1,-1,425290,-1,-1,-1,913010,-1,-1,460624,214460,-1,-1,-1,541769,991068,166631,844043,-1,850107,992619,619492,150968,-1,-1,-1,930450,-1,357214,811052,-1,-1,977311,260100,789323,-1,242415,151296,-1,-1,-1,-1,-1,-1,-1,-1,557960,-1,-1,916307,463812,802772,-1,-1,-1,331290,791675,603665,235741,-1,724358,413987,-1,-1,674019,-1,-1,872715,-1,814542,-1,-1,-1,-1,-1,680787,-1,-1,314943,-1,-1,-1,-1,-1,223089,-1,45748,-1,248775,549373,-1,677573,-1,-1,-1,898703,535056,-1,415431,289764,463231,-1,-1,193234,-1,-1,-1,-1,224052,645713,677631,617659,-1,108936,318854,366584,839557,902540,928357,-1,-1,926516,-1,-1,184892,-1,-1,-1,-1,-1,324555,685007,-1,333326,133295,-1,-1,-1,-1,-1,930033,-1,-1,-1,58419,472760,900781,-1,783062,807251,779075,915250,346416,524016,209523,938034,267996,-1,136165,915089,-1,139307,-1,184940,944008,-1,-1,-1,-1,495772,903214,756781,-1,-1,-1,600112,455230,-1,-1,-1,-1,-1,-1,839500,-1,-1,216415,300801,-1,749352,875754,-1,-1,765144,-1,-1,-1,984658,-1,-1,870073,454008,-1,-1,-1,-1,499767,795363,753929,741790,387620,75846,-1,229438,-1,712940,948869,-1,-1,286398,-1,466647,-1,-1,266735,232376,3895,769952,-1,934192,-1,474706,-1,131637,805456,378067,262320,-1,459711,497625,458468,-1,985757,931163,328267,-1,257038,125786,293721,11851,595561,-1,5934,639915,32424,-1,886665,549189,208746,-1,-1,980277,553185,-1,138990,678899,254380,-1,-1,480034,219230,-1,761033,-1,-1,-1,800918,260213,-1,521963,-1,481910,-1,-1,-1,693439,610760,-1,850582,-1,-1,-1,462619,-1,63970,593568,623294,471027,695639,-1,805419,689779,-1,-1,199895,968350,-1,-1,714690,329135,747485,-1,51931,-1,362187,219705,767346,-1,-1,-1,894854,756148,248814,-1,-1,404049,273275,-1,559857,17340,268800,-1,-1,792606,-1,-1,-1,531372,-1,-1,918117,-1,-1,-1,215914,-1,64674,-1,-1,-1,-1,-1,-1,650977,724015,-1,-1,-1,433722,-1,974772,-1,761600,-1,-1,-1,-1,-1,-1,145916,-1,869349,-1,317472,-1,570474,168143,-1,764411,63085,-1,641391,271715,842730,449534,-1,-1,385093,-1,73918,-1,996940,6507,867724,791815,89475,891984,409000,-1,267430,-1,-1,412022,-1,455939,145363,301796,-1,640137,-1,-1,880223,-1,-1,154876,-1,-1,-1,886015,-1,-1,311986,-1,-1,-1,-1,262827,274873,-1,-1,-1,316259,536507,-1,900691,-1,-1,-1,438257,320995,-1,-1,-1,795990,-1,546816,618006,-1,929171,878454,233055,436766,553522,187686,-1,-1,-1,869889,-1,-1,-1,43190,423357,370265,401204,-1,91956,-1,555072,-1,565145,-1,-1,116251,580739,71346,-1,-1,-1,-1,-1,270809,690554,766463,-1,-1,636655,-1,-1,-1,-1,350103,-1,-1,-1,-1,515706,135522,-1,805451,848506,-1,260824,-1,281925,-1,-1,755299,639958,-1,-1,619834,622073,-1,592483,-1,-1,-1,252535,639885,576346,-1,874656,-1,-1,233284,-1,625455,-1,-1,848438,926317,-1,-1,357408,998774,-1,488679,908461,-1,871022,-1,829711,545212,-1,-1,-1,478575,-1,613524,-1,-1,734640,686948,187880,328406,-1,-1,826889,-1,-1,669179,904408,-1,451010,749366,-1,-1,-1,-1,-1,-1,-1,891213,75,-1,616847,403953,867911,-1,-1,-1,-1,78487,81765,-1,568929,376704,-1,-1,-1,-1,-1,297614,-1,-1,87073,-1,-1,-1,-1,-1,-1,494442,35311,971998,758728,981000,-1,-1,580642,899662,-1,-1,-1,-1,-1,844056,84568,-1,-1,179757,-1,-1,-1,-1,-1,-1,494133,840893,-1,-1,889114,988206,-1,805601,325400,493211,645386,-1,897771,250583,-1,-1,885441,761003,424631,-1,-1,-1,-1,251143,-1,51078,39419,-1,-1,750977,-1,981491,-1,-1,-1,-1,354872,-1,-1,250079,-1,467821,630644,581787,-1,383841,-1,-1,507098,-1,3416,965600,400961,279534,-1,358593,-1,-1,988946,630241,440971,-1,-1,-1,-1,-1,-1,563513,34721,-1,-1,-1,-1,406173,-1,972817,205091,677886,-1,303195,-1,-1,-1,791656,46734,-1,673627,400282,742005,806875,-1,43649,413821,327469,122560,-1,248697,-1,818947,222337,-1,737410,351421,922589,878706,-1,-1,95058,770704,-1,-1,89399,203709,627522,-1,-1,-1,-1,-1,-1,884436,-1,-1,309231,-1,553354,145563,441102,-1,468154,710967,993960,-1,-1,357927,305796,46702,293435,-1,-1,611009,-1,-1,-1,234638,723156,822384,-1,947622,-1,179945,807103,231290,986973,774857,734426,758081,-1,-1,-1,-1,294442,-1,307526,948914,760058,791571,-1,298341,46434,867907,437843,-1,-1,998441,614324,-1,-1,-1,-1,115014,-1,-1,136470,-1,930725,-1,310825,921488,-1,-1,-1,-1,611783,708266,506748,765867,-1,59127,673891,95405,-1,285645,794469,902224,133432,-1,-1,-1,-1,932708,667038,729969,917208,-1,22692,-1,923052,-1,359181,-1,-1,60620,450575,987749,979117,266335,175564,-1,-1,40830,694313,-1,-1,-1,176570,292755,858134,37224,-1,494912,-1,387006,466283,908535,358600,618188,-1,33623,-1,438907,-1,-1,-1,-1,-1,-1,792962,-1,-1,930565,-1,132444,-1,733326,-1,381914,-1,-1,-1,-1,-1,633122,481043,-1,-1,-1,285204,987505,-1,-1,504234,-1,492555,638957,-1,-1,-1,996985,-1,592596,998549,-1,-1,-1,-1,-1,-1,483119,553909,-1,780231,457952,682526,299029,630577,779927,625849,346601,795541,-1,396750,-1,-1,177199,427208,837757,550260,41151,-1,-1,171314,-1,432244,155065,210573,-1,-1,-1,-1,973859,-1,723633,-1,3454,537205,-1,-1,118933,713684,419299,-1,379436,-1,-1,625959,-1,40082,71143,904368,920649,389301,-1,-1,-1,-1,631108,-1,29553,130529,-1,764610,104849,-1,144721,624782,-1,116961,778779,44344,60713,987570,3323,-1,819305,-1,-1,497619,-1,756212,493421,349078,-1,-1,750559,87201,-1,808577,-1,265539,586249,365563,-1,928713,-1,-1,-1,206291,226557,-1,-1,-1,-1,-1,-1,-1,423924,940972,239365,637140,863555,-1,90934,-1,-1,838238,-1,-1,-1,-1,-1,-1,513967,-1,-1,51762,-1,-1,-1,540105,-1,942941,-1,-1,-1,-1,589150,-1,-1,-1,-1,-1,728129,-1,-1,-1,-1,849873,-1,-1,-1,-1,-1,583535,413933,806659,502364,-1,-1,732027,-1,342269,-1,843327,-1,-1,323136,68900,-1,-1,-1,-1,-1,36050,950446,-1,750353,905589,-1,-1,-1,-1,269678,380167,-1,-1,865620,-1,636878,667352,-1,-1,-1,5783,649765,-1,347238,-1,-1,853662,-1,188956,-1,307689,-1,-1,752665,590634,299755,-1,214966,903010,-1,-1,-1,-1,-1,185961,-1,796063,395190,30091,-1,-1,339695,670247,-1,55042,763884,966075,190893,443563,540488,252360,463805,727162,274606,72533,-1,-1,78716,-1,390113,584346,253597,35789,-1,394218,275875,-1,-1,621135,998889,-1,-1,-1,-1,761850,754381,-1,-1,-1,523852,-1,631473,-1,-1,389328,-1,256538,165715,605168,-1,-1,-1,882729,524258,-1,-1,157997,-1,-1,-1,896004,366894,-1,241369,430828,-1,-1,-1,199565,604347,-1,544057,726629,166895,-1,-1,515698,988138,368187,341803,-1,-1,922091,-1,-1,23822,500508,933391,264824,514836,-1,-1,560693,-1,-1,-1,574094,-1,651504,-1,-1,-1,700352,275296,345401,219266,721510,483370,-1,295872,-1,796950,504546,-1,356303,-1,867567,-1,538265,291580,306941,914132,821687,341485,279050,-1,-1,-1,526411,-1,-1,-1,-1,666348,921700,369201,956334,249965,79521,36176,636027,731185,613337,-1,555061,-1,-1,-1,-1,-1,-1,376765,-1,-1,-1,-1,-1,-1,-1,-1,-1,520454,-1,730054,530447,178101,525533,-1,-1,758453,144456,-1,172211,-1,-1,-1,475797,-1,-1,134063,-1,-1,728874,-1,709501,-1,48385,806731,-1,25562,-1,-1,585056,762113,692997,-1,-1,52371,486786,-1,21798,-1,-1,-1,-1,-1,-1,-1,-1,-1,585300,473830,41230,-1,959094,-1,709085,-1,991584,-1,420215,-1,248512,-1,-1,735062,-1,-1,561840,-1,-1,-1,-1,-1,-1,-1,83159,113929,559603,-1,-1,544,239842,687255,-1,-1,268021,380454,803887,116238,814577,517703,873392,269631,796258,-1,-1,809093,311697,-1,989176,760717,80336,-1,905448,594842,427852,-1,-1,-1,-1,-1,-1,-1,408134,-1,-1,835036,-1,507661,-1,311650,334958,469241,-1,535549,928127,-1,-1,-1,-1,267514,167170,-1,-1,241160,-1,876893,495245,915790,-1,147071,825876,-1,568883,663946,-1,882271,-1,-1,755869,46321,-1,-1,300331,267714,37420,-1,776059,-1,479776,412443,330899,664669,932616,67562,-1,340983,-1,705496,102293,440390,293367,-1,299173,-1,-1,-1,907335,576788,-1,914180,-1,963044,413896,177743,351389,868126,-1,147682,878861,-1,948471,-1,219128,-1,-1,-1,-1,-1,867897,-1,363171,-1,838674,-1,212496,-1,-1,-1,471093,73797,393562,911815,936039,510139,578737,960136,-1,-1,376198,-1,999349,806762,109495,395544,530637,-1,698689,-1,-1,59342,-1,-1,479086,-1,-1,-1,818784,-1,866988,163873,-1,-1,996982,515178,-1,-1,-1,-1,-1,809930,422505,-1,-1,334522,-1,-1,-1,519921,997380,199113,-1,261280,585082,-1,-1,-1,336661,-1,715440,639584,-1,-1,817361,289851,-1,-1,943652,-1,277755,-1,-1,509265,931920,-1,859046,-1,765923,370277,-1,-1,157402,-1,-1,277330,-1,926409,-1,206110,-1,154159,137739,-1,-1,423849,87249,111443,400484,978925,-1,-1,-1,-1,443425,315113,-1,-1,-1,970146,-1,-1,-1,-1,124387,768450,-1,4671,-1,-1,-1,367274,-1,-1,-1,-1,866655,736887,505149,968323,963576,-1,300733,633140,262607,-1,-1,773457,434741,-1,962967,850161,-1,-1,-1,832568,441015,-1,-1,-1,-1,942318,-1,-1,917446,587552,-1,256767,896568,688432,833014,-1,-1,-1,-1,288346,569732,-1,-1,-1,-1,-1,47083,-1,-1,-1,739051,-1,-1,20414,480332,312031,-1,367019,-1,-1,762742,-1,746840,-1,984870,-1,-1,999395,850908,910871,-1,855196,991529,-1,-1,-1,609657,-1,891034,-1,43350,-1,-1,-1,-1,218605,280455,220839,-1,946218,580761,654033,-1,-1,582306,860784,862642,-1,905069,-1,302156,-1,866340,587333,936045,-1,-1,804674,771801,656484,965792,113933,706229,639351,-1,294218,-1,559036,652356,355114,744548,442120,-1,-1,472520,-1,-1,-1,812181,-1,-1,-1,-1,383154,-1,626945,-1,988716,646990,724914,673613,972648,166520,260662,236759,-1,-1,440153,-1,-1,-1,-1,572551,619632,-1,-1,909370,935482,-1,531293,341743,-1,-1,601865,-1,-1,-1,234646,262128,-1,-1,66050,887195,-1,429366,928785,283315,-1,-1,-1,-1,-1,581239,-1,-1,536702,277914,218834,-1,669866,-1,-1,200833,999828,943913,-1,101902,-1,-1,-1,69178,-1,529610,597612,-1,193982,-1,845802,446966,-1,482119,-1,717286,730842,-1,-1,94111,264927,-1,-1,-1,173129,19238,-1,502867,296459,654451,64291,-1,759567,929510,941068,429182,730543,-1,-1,173812,-1,808310,755147,-1,112672,-1,-1,-1,-1,880991,5438,490551,-1,366608,795589,99393,-1,-1,924194,-1,-1,-1,747105,-1,-1,-1,-1,853741,673301,-1,795560,979845,-1,999942,-1,-1,-1,214908,92969,706741,-1,-1,860363,647459,-1,961057,-1,-1,-1,-1,985667,-1,-1,550533,396360,817500,-1,-1,227147,391194,923148,-1,-1,778652,-1,-1,933822,-1,642218,-1,-1,375052,191826,32836,860121,180701,976583,332053,-1,-1,-1,-1,410712,747869,882854,-1,392633,938478,706847,432940,240776,293523,-1,-1,76106,127157,508858,655193,734826,-1,995218,-1,303752,-1,234209,-1,-1,-1,342696,-1,738441,-1,-1,-1,381875,910896,955840,60260,625509,181423,-1,-1,445781,58712,-1,571095,-1,899827,-1,-1,578714,323033,-1,528219,863232,-1,499421,115250,-1,-1,619582,-1,-1,415939,-1,990301,740721,-1,-1,124710,412947,-1,979030,56090,251481,829413,879380,-1,-1,168380,82318,-1,867772,449783,-1,18661,220300,-1,572184,-1,255495,-1,247010,57731,-1,-1,-1,-1,-1,531151,-1,-1,-1,-1,489532,234383,-1,994038,333690,190171,701074,-1,351466,-1,936307,981602,469336,-1,547270,736179,-1,-1,476105,8911,503858,316676,-1,11627,-1,461983,682049,-1,752835,956304,98680,537172,-1,-1,-1,-1,963026,895738,37921,945282,930750,554756,-1,-1,-1,-1,595322,999827,754119,287917,-1,517680,766870,308213,-1,-1,-1,-1,-1,-1,259516,-1,-1,706400,714054,420467,-1,371096,901407,122725,513845,-1,-1,-1,-1,-1,-1,891480,289949,-1,-1,148846,-1,-1,-1,617480,577287,-1,455191,-1,245347,-1,-1,415525,41131,-1,-1,619027,963315,-1,598363,-1,707640,780596,662861,777863,-1,-1,540606,814869,-1,-1,77882,-1,837935,639937,551394,988659,395495,-1,-1,-1,-1,-1,795794,-1,41780,-1,-1,836469,258231,943034,467264,256449,639198,-1,995156,208571,383714,248628,564440,-1,945396,209291,-1,-1,-1,-1,707808,-1,-1,326780,528701,530705,560053,-1,218954,514038,367345,-1,350985,-1,906824,949038,194193,372553,-1,420902,855576,-1,110905,-1,-1,-1,817168,728254,491212,-1,15072,4676,-1,232984,782387,-1,777997,-1,768910,-1,154753,-1,91071,-1,263660,214432,-1,-1,668439,-1,678176,-1,-1,669435,-1,444459,953941,498614,-1,173315,569697,345763,495665,-1,-1,-1,62952,308397,-1,489551,953606,784289,-1,927900,999486,-1,589891,-1,-1,-1,-1,-1,-1,200259,-1,-1,-1,861916,-1,-1,468092,-1,-1,51987,-1,-1,938523,203531,-1,-1,-1,-1,-1,-1,-1,-1,568872,-1,-1,861689,-1,182845,951970,-1,481092,797193,723001,149670,6370,744160,-1,-1,118344,579074,481302,330926,-1,885135,579750,-1,568302,353070,487079,772228,-1,435985,804739,691909,-1,504450,-1,-1,-1,243754,-1,164084,57833,-1,-1,702550,-1,230733,831747,632900,-1,393403,101332,625860,-1,690557,-1,249281,927440,503546,-1,515104,577401,-1,254041,167986,728543,44426,-1,871006,502191,-1,348208,-1,-1,807041,422873,879624,476492,283191,742486,67911,595378,797429,209334,-1,990258,194274,-1,572843,49635,172315,-1,390263,-1,820165,336204,-1,-1,-1,-1,-1,-1,402546,-1,-1,938153,-1,344800,310728,250833,-1,95329,553107,-1,-1,-1,321384,431811,-1,382875,-1,-1,-1,836608,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,172391,-1,-1,761069,103913,-1,-1,-1,75880,-1,-1,652026,873530,818066,974744,189275,582267,-1,-1,-1,147408,-1,-1,216848,-1,734335,-1,-1,197169,-1,653191,410059,747815,631596,964931,515139,220066,396112,564859,-1,321711,352548,717299,434687,735506,-1,-1,-1,-1,-1,434009,-1,-1,130726,-1,-1,333811,584791,857880,-1,854128,-1,-1,339318,-1,480262,-1,614668,896480,-1,787592,28640,-1,-1,580605,-1,885218,-1,138032,855999,-1,460511,623277,-1,876208,795176,945447,-1,-1,291290,201948,-1,627949,-1,-1,56653,-1,952451,865531,-1,154344,-1,480371,-1,-1,531850,-1,-1,449551,-1,771949,226821,-1,-1,-1,-1,-1,319261,-1,-1,901260,-1,-1,664271,-1,690126,-1,-1,-1,-1,-1,-1,-1,183402,-1,186371,-1,-1,-1,-1,888082,-1,732196,-1,177276,-1,769680,-1,573731,570729,620135,728011,-1,-1,765266,896709,-1,50349,-1,-1,148202,917285,-1,968131,355059,-1,-1,47265,260792,-1,-1,-1,-1,-1,-1,-1,300773,689507,-1,962875,-1,194070,-1,962277,-1,217679,214180,-1,751694,321705,627022,-1,106171,-1,-1,-1,-1,-1,-1,146071,631097,-1,450223,561775,716551,903027,954748,-1,-1,-1,-1,-1,-1,-1,745002,55931,243345,74646,897074,-1,-1,109296,38238,345481,-1,619610,-1,-1,-1,625046,874855,540341,-1,-1,304938,31920,-1,-1,445373,-1,-1,632016,316155,-1,234696,-1,-1,-1,-1,-1,516143,158174,530975,486477,432060,-1,-1,288817,333313,438819,172667,-1,-1,-1,-1,-1,574656,-1,-1,-1,-1,-1,120979,232682,-1,-1,-1,57243,-1,-1,-1,-1,696565,-1,-1,169277,-1,406670,657244,880845,447809,-1,-1,-1,227531,462761,-1,-1,-1,-1,-1,769172,-1,-1,888683,999113,883618,483587,650941,-1,357537,-1,729867,-1,887,603434,-1,630863,-1,-1,-1,-1,932226,326470,431948,317277,450077,-1,-1,257171,447004,-1,584922,-1,-1,310993,-1,-1,-1,-1,-1,923288,-1,-1,-1,-1,-1,636577,782709,490193,-1,-1,795542,912585,-1,75393,-1,157821,59044,322234,44689,280693,16160,539189,299519,928285,-1,-1,423816,-1,-1,-1,790739,879806,524848,407143,410585,-1,966099,-1,755076,-1,732517,-1,-1,-1,675436,-1,593803,-1,290102,-1,-1,-1,-1,-1,276428,475328,550086,451870,235601,-1,534384,642709,-1,-1,-1,609949,-1,-1,-1,-1,483394,979712,1531,-1,-1,-1,-1,220886,392049,456365,139124,505147,611701,736456,406434,-1,117802,-1,-1,-1,-1,872001,-1,371282,-1,-1,187888,625386,361286,731566,-1,-1,353579,-1,-1,-1,70923,-1,229971,-1,861008,-1,237669,-1,894373,618860,-1,-1,383767,-1,-1,441333,-1,-1,-1,161760,-1,-1,-1,949945,623797,325610,690093,113049,-1,327325,-1,-1,547917,831657,-1,-1,-1,-1,-1,166824,-1,-1,-1,-1,-1,-1,46565,995026,312870,-1,180102,726808,455479,317058,967529,-1,990161,283857,394444,-1,263676,173919,40180,754635,-1,-1,904676,797990,-1,-1,395797,-1,280078,144489,-1,168965,-1,184628,-1,-1,-1,479587,-1,528458,634819,-1,50771,-1,-1,728524,-1,-1,-1,-1,-1,-1,-1,478437,-1,258425,307844,885374,-1,-1,-1,780676,210887,-1,886388,863075,674600,-1,-1,-1,-1,362182,-1,315551,-1,471761,-1,456806,-1,-1,423836,147678,-1,-1,823780,-1,750894,416158,657670,41537,-1,929178,278250,751983,-1,955621,973031,-1,-1,563153,-1,262180,987978,-1,-1,692727,777399,295011,-1,76274,594328,450683,-1,-1,557611,535770,-1,-1,418873,-1,-1,68822,791512,49587,-1,932224,777647,-1,-1,-1,530065,-1,504352,-1,-1,-1,446412,2967,-1,-1,-1,-1,700949,-1,110738,-1,3034,672628,-1,204249,-1,781661,-1,555239,-1,-1,-1,460190,-1,627769,949956,-1,72775,429324,-1,945352,561988,-1,-1,-1,-1,744690,-1,-1,-1,208908,-1,-1,646423,438481,-1,710146,-1,381132,-1,882784,-1,84407,943633,775437,-1,-1,244773,23197,423278,392475,254354,-1,-1,226396,-1,-1,-1,91804,-1,-1,-1,763071,515594,-1,344465,-1,630129,71879,232531,-1,-1,49739,864742,338952,875063,-1,647402,257087,617148,618125,690096,538817,890400,-1,-1,626236,-1,785952,-1,717376,-1,770075,764023,-1,-1,-1,-1,812473,293879,-1,-1,-1,691842,819505,574076,271625,594442,-1,500497,545194,-1,-1,844263,104892,471210,96299,-1,258346,662508,-1,-1,-1,-1,508555,47040,-1,374517,444377,300857,138491,-1,-1,463671,-1,-1,143768,839675,133872,-1,591807,-1,465167,-1,296104,243278,768847,-1,-1,-1,-1,-1,-1,22574,354555,805973,-1,-1,299551,-1,-1,-1,-1,262816,683159,-1,-1,649720,43777,-1,-1,-1,583745,-1,-1,773901,133762,628643,-1,-1,97301,-1,-1,-1,505622,-1,-1,451845,649755,-1,623979,-1,-1,-1,-1,370594,695983,-1,415551,921718,-1,118661,114575,-1,895661,-1,-1,-1,-1,280897,441506,-1,-1,496294,258681,364048,907595,851569,831750,-1,291319,496943,453570,113216,-1,-1,-1,262212,-1,-1,266636,-1,-1,-1,13305,381514,807038,-1,398575,-1,90887,528500,-1,649193,-1,-1,813642,-1,490058,-1,-1,616001,-1,-1,330277,231964,-1,-1,-1,12294,632950,160434,823443,900256,434316,-1,909811,990541,587150,-1,835617,-1,607620,-1,290738,-1,373181,329316,972657,-1,852722,698766,255163,-1,564152,332907,650340,801853,-1,-1,291100,-1,131122,-1,698186,248603,-1,-1,63989,-1,625429,276587,328029,-1,-1,284712,-1,421058,-1,-1,-1,273115,-1,358115,819462,980652,-1,-1,-1,-1,14113,-1,-1,-1,-1,638,590173,283328,-1,-1,459202,-1,-1,-1,6003,371484,-1,-1,-1,-1,740052,-1,-1,-1,638453,304936,707092,-1,-1,-1,269172,-1,-1,599943,-1,-1,79312,714077,720688,747085,354985,-1,-1,228737,-1,187930,-1,-1,-1,41326,-1,-1,-1,248389,-1,-1,549002,-1,-1,-1,866472,503989,190831,-1,-1,857082,229823,977403,924626,-1,-1,541009,780883,-1,509891,-1,298854,-1,823901,543788,-1,-1,765248,500421,800389,711327,-1,858755,-1,-1,295885,-1,249791,-1,541549,-1,-1,-1,397854,-1,-1,-1,-1,665597,454587,22344,-1,323087,-1,-1,-1,66868,942150,805209,540368,719316,-1,53018,735250,699642,238037,652010,-1,875669,622716,997785,885885,469844,-1,687599,-1,396206,731976,-1,52835,-1,762332,17693,865411,-1,832009,392804,-1,-1,-1,-1,-1,-1,659053,796797,417568,376297,703563,148912,-1,-1,-1,-1,-1,-1,858534,-1,-1,-1,-1,370982,-1,-1,-1,511989,-1,787339,-1,525082,60881,416097,373700,207156,465289,876026,458333,880058,-1,168987,656963,826021,256499,705250,939557,-1,-1,-1,96044,750679,433685,644626,-1,327210,-1,283048,575512,-1,842921,912990,-1,21428,813582,-1,-1,620484,191562,-1,61456,158397,844366,86155,-1,236932,-1,-1,-1,315826,919560,-1,960394,-1,-1,216977,-1,905961,-1,-1,25295,-1,169229,-1,500368,-1,95429,220288,-1,621914,298846,453255,-1,260708,501732,-1,792454,-1,909598,687601,104916,378773,-1,919753,825340,983290,-1,642812,-1,860188,623572,511085,525026,-1,-1,-1,887560,-1,22637,-1,128446,853485,877688,458571,-1,-1,-1,395791,68550,561186,24754,-1,251156,-1,542448,245633,-1,-1,276804,-1,499946,187375,734742,-1,-1,-1,948372,662225,-1,-1,929476,659779,38270,447686,865662,-1,980736,-1,227976,607914,378584,263293,207569,-1,811502,-1,-1,4276,-1,-1,-1,316125,859552,-1,752675,-1,875578,458103,-1,566783,966676,582727,-1,-1,968288,-1,-1,-1,-1,-1,-1,935551,-1,-1,-1,-1,-1,-1,672957,601503,-1,586407,289438,-1,-1,-1,591911,-1,-1,758530,909949,18122,85087,306393,929284,-1,-1,635903,293081,-1,-1,-1,252452,44132,-1,237153,-1,-1,766967,-1,818116,603143,48797,544497,-1,607035,778096,464808,232705,730896,735350,-1,-1,-1,-1,-1,-1,777259,335936,350616,400761,320193,-1,-1,754620,474563,-1,357673,-1,-1,228276,366994,-1,469823,-1,-1,50472,-1,-1,-1,209677,-1,504477,-1,161940,-1,-1,362359,973467,-1,24631,502628,-1,780404,150277,-1,-1,-1,413358,-1,-1,-1,-1,735130,-1,-1,19207,-1,-1,859917,625273,938242,-1,985740,-1,74949,570615,-1,-1,264309,-1,151336,-1,-1,-1,505325,889403,-1,847926,-1,967232,467234,91416,889519,-1,299182,-1,51764,-1,461942,-1,838811,-1,440332,-1,223205,735934,-1,-1,-1,152946,230041,382998,-1,-1,396505,-1,539783,-1,-1,521252,-1,239022,300716,-1,45724,-1,-1,-1,-1,-1,340492,978842,344540,113285,-1,56049,954087,864471,645580,475175,582085,-1,-1,538171,229955,-1,-1,-1,568321,284094,692234,-1,-1,-1,250226,-1,-1,41095,-1,246523,225870,741172,286904,-1,801263,-1,276623,-1,-1,88888,960449,-1,-1,-1,-1,-1,-1,269613,96474,561484,4479,272862,873305,476114,-1,204684,-1,-1,-1,-1,32606,-1,685580,-1,565811,77822,-1,-1,-1,229290,-1,421995,412954,117415,-1,-1,33234,-1,-1,-1,469400,280756,331962,19820,-1,-1,198303,-1,-1,-1,-1,-1,-1,984488,616992,-1,936608,-1,-1,-1,916342,838447,445183,-1,-1,-1,536695,-1,748403,-1,72985,33919,77999,-1,941081,557509,-1,-1,-1,751925,375786,242285,508041,717466,917578,13806,-1,952804,-1,-1,-1,899469,-1,-1,-1,286944,-1,-1,-1,395231,-1,-1,-1,-1,-1,71929,-1,882034,-1,-1,738222,-1,-1,-1,659565,353582,-1,786695,-1,484821,818734,-1,-1,-1,-1,351369,-1,186719,734283,-1,496671,876657,77117,-1,-1,-1,280124,444051,440791,-1,-1,583229,-1,342582,577999,459844,-1,526864,650926,-1,-1,312405,246657,76571,924714,-1,-1,-1,-1,245720,126211,-1,-1,-1,672787,-1,-1,-1,-1,-1,226390,81310,-1,-1,-1,-1,557365,-1,500308,-1,-1,-1,-1,670518,-1,-1,56198,503784,-1,-1,185885,164535,547510,-1,-1,-1,800452,241640,549612,42336,241601,125091,76431,-1,-1,-1,991085,-1,735106,157249,108866,-1,-1,-1,-1,239435,-1,943886,826391,17477,-1,900672,608423,58815,-1,793030,-1,-1,113655,528677,-1,92303,442321,-1,-1,432330,-1,-1,627198,124566,485352,106453,652519,280846,736052,658789,884554,46835,-1,-1,-1,-1,522300,-1,-1,-1,472944,-1,-1,-1,49804,-1,-1,58280,-1,400537,893605,-1,807421,-1,-1,913296,442039,234309,106474,-1,-1,147597,680188,246420,-1,660672,213104,-1,258011,-1,-1,282814,-1,802984,-1,175390,-1,-1,-1,352205,-1,-1,241530,-1,318741,-1,462896,-1,772748,952644,681939,-1,-1,735634,639675,-1,-1,151620,231115,-1,966158,-1,-1,469680,927493,-1,-1,740915,710959,307051,-1,-1,-1,921242,765791,795607,594807,98027,371242,-1,659787,-1,-1,-1,-1,-1,-1,26241,986003,-1,353900,221222,-1,-1,559235,71649,-1,832558,-1,-1,-1,-1,8560,-1,96957,140576,336471,-1,927745,-1,-1,-1,471743,-1,-1,211965,-1,642549,-1,201671,-1,53752,-1,941121,-1,487910,-1,747227,614427,-1,954047,-1,-1,-1,-1,-1,-1,61359,-1,-1,-1,-1,723257,62503,-1,656482,-1,835992,-1,-1,-1,645382,-1,-1,-1,800123,-1,-1,-1,-1,-1,816287,-1,-1,-1,708092,488543,454768,842699,-1,420102,3976,534019,-1,357950,439626,-1,-1,9594,-1,-1,-1,964833,-1,432349,808566,858744,-1,-1,-1,-1,188802,736994,-1,-1,914960,-1,132889,349654,529341,-1,345074,-1,-1,-1,-1,-1,-1,-1,-1,411345,-1,-1,-1,-1,-1,-1,405104,-1,-1,460984,-1,-1,-1,-1,314662,-1,418905,445119,102586,-1,-1,-1,584213,-1,-1,-1,840471,-1,764124,-1,-1,-1,746202,533137,879116,-1,497599,-1,-1,-1,-1,-1,278953,-1,-1,-1,-1,-1,842203,445635,-1,566678,923539,-1,248045,539379,-1,-1,-1,853825,-1,-1,-1,-1,-1,-1,308413,637974,711562,-1,-1,-1,677648,526837,-1,269516,945005,777967,-1,215640,257622,740488,-1,-1,-1,-1,995452,985118,-1,972714,225142,-1,-1,894322,-1,921714,-1,172627,982168,-1,-1,-1,-1,910163,-1,35431,-1,282392,809140,885509,861924,178472,-1,398770,350679,-1,-1,-1,-1,-1,-1,394469,344623,537608,608734,-1,-1,-1,541727,-1,-1,791991,-1,147306,741162,-1,-1,-1,-1,-1,395168,-1,422146,457789,-1,21735,-1,637904,730197,-1,-1,281774,960535,-1,-1,228422,647194,-1,909581,626229,934994,926408,755713,-1,-1,-1,-1,912948,-1,928820,-1,433791,353479,769661,459712,113442,692502,-1,-1,-1,-1,-1,-1,-1,641509,-1,340050,547843,-1,-1,73858,-1,-1,856382,635033,-1,827351,668818,-1,-1,-1,31061,-1,79012,132597,86758,-1,649447,-1,-1,421282,-1,573441,902681,-1,-1,-1,523467,926020,-1,861416,292469,626131,-1,-1,696641,841580,515888,-1,633954,-1,440623,415379,-1,-1,-1,316987,748928,-1,196655,-1,935008,-1,459767,988670,695465,395198,403629,-1,820984,-1,152978,-1,-1,-1,-1,909465,802755,240563,-1,141169,-1,394947,727987,-1,-1,-1,588788,500317,568733,-1,666842,-1,-1,62091,-1,-1,-1,892098,42998,-1,-1,753765,689524,708349,36302,-1,379551,-1,601781,-1,-1,-1,735991,-1,168645,903968,422079,-1,794317,720614,-1,304521,-1,836702,250460,544380,894423,-1,438359,-1,895573,32125,-1,-1,-1,-1,638271,867043,-1,938085,-1,-1,-1,-1,676137,887301,-1,867790,-1,-1,880920,-1,-1,-1,250292,-1,77901,-1,138024,-1,-1,967513,-1,212810,455798,210814,-1,628241,-1,560860,114977,-1,659862,-1,-1,-1,968581,-1,-1,-1,-1,776829,-1,-1,876598,-1,-1,341536,-1,195693,304319,-1,-1,-1,-1,-1,-1,-1,-1,313898,-1,953791,276801,287394,-1,-1,-1,-1,550575,-1,490295,-1,-1,740086,24226,471669,511609,800546,-1,177377,-1,536696,-1,-1,-1,-1,78342,-1,460044,11857,67087,209986,196990,-1,-1,715490,135148,-1,-1,948170,306355,702523,-1,140141,994766,310144,525853,-1,-1,-1,-1,-1,-1,-1,-1,481462,591833,629717,502263,-1,701580,-1,-1,224892,-1,891167,-1,10726,478308,-1,82939,172536,47601,559188,214384,251326,-1,-1,732016,818418,592730,-1,130858,-1,771954,-1,574270,-1,507190,155218,-1,-1,748529,123829,727736,873525,-1,431271,-1,-1,-1,-1,-1,-1,628317,-1,487338,855649,481385,584804,-1,545049,-1,57419,955174,103229,-1,928432,-1,-1,-1,-1,-1,326325,-1,-1,423370,-1,-1,-1,-1,779391,91825,268823,421210,281549,-1,-1,535878,27564,-1,958639,85071,-1,291024,-1,582315,-1,232889,-1,-1,736045,-1,725907,-1,-1,-1,-1,-1,355943,551455,823484,-1,-1,-1,-1,-1,446950,910847,966533,286014,-1,716781,782587,-1,-1,-1,-1,-1,-1,-1,936069,-1,-1,-1,-1,603847,-1,589675,37689,-1,906242,-1,-1,163022,-1,-1,-1,-1,400945,467030,-1,-1,-1,-1,188233,-1,-1,-1,206805,-1,-1,912512,751176,-1,-1,-1,-1,9658,-1,765238,480334,-1,581254,-1,36328,647834,-1,57967,417482,-1,-1,414228,962020,-1,-1,-1,751433,631402,-1,838981,-1,-1,-1,-1,29813,-1,271222,724954,468885,202355,-1,771826,-1,846087,495573,400705,910694,-1,686528,7278,130714,-1,-1,-1,809636,-1,-1,-1,5430,390797,865543,435631,675068,-1,-1,722628,-1,-1,441318,-1,319700,-1,-1,-1,-1,-1,340189,392231,380534,-1,-1,118841,563052,571770,958949,-1,-1,-1,-1,253571,219427,-1,-1,484528,-1,311610,54190,-1,-1,-1,-1,420695,846304,-1,472135,347910,-1,-1,19127,-1,72718,26924,465748,732393,-1,633704,-1,-1,521405,-1,-1,470543,106993,-1,-1,-1,356885,134991,215370,631931,-1,-1,64015,910205,945961,-1,614091,-1,319494,-1,712442,514407,-1,932106,886230,38758,-1,-1,-1,-1,798329,-1,-1,832813,625629,-1,900467,-1,-1,-1,786998,827061,61871,-1,230446,-1,892935,-1,-1,266170,-1,-1,-1,321348,-1,-1,-1,-1,344240,63991,307313,131761,-1,506149,-1,-1,-1,744041,-1,-1,-1,-1,-1,897665,-1,-1,-1,-1,-1,-1,-1,-1,-1,586955,225624,-1,289608,524640,-1,276857,785704,-1,407777,222471,-1,113891,-1,421102,-1,-1,55263,-1,-1,208546,326380,-1,-1,-1,-1,-1,-1,-1,747760,71065,211260,795960,-1,-1,936972,-1,215811,851477,519580,635702,-1,266092,-1,799255,-1,427789,793258,-1,-1,-1,-1,134895,-1,-1,-1,700193,98909,-1,374712,218884,-1,-1,-1,-1,-1,-1,-1,-1,-1,330531,212019,-1,810727,-1,490401,28199,74137,-1,-1,-1,-1,761521,-1,-1,600867,227113,46776,170525,753679,-1,-1,-1,-1,-1,126999,-1,-1,826122,-1,-1,-1,467037,617030,-1,634737,-1,19025,273955,912432,188589,-1,821276,275025,721334,771609,96609,974459,-1,-1,875825,275114,-1,-1,-1,303464,74095,-1,-1,986590,217109,582002,777026,111778,374487,898226,-1,-1,-1,-1,-1,-1,-1,401544,4903,-1,-1,-1,-1,-1,-1,-1,517568,976582,437970,458371,463212,-1,786357,-1,605052,-1,-1,802471,554169,-1,-1,89532,-1,738959,828693,836965,372434,145906,762961,302475,-1,-1,-1,-1,-1,896235,909700,460864,-1,-1,-1,277576,781461,700809,127414,835220,311967,617175,238928,983105,185031,404539,371143,463263,873088,-1,-1,306590,-1,-1,671122,-1,357771,-1,-1,314534,-1,626647,400067,792690,354082,-1,396536,-1,-1,-1,-1,11077,-1,900230,-1,326885,-1,-1,-1,-1,949609,285523,177909,388424,-1,-1,30722,-1,-1,-1,656248,-1,-1,836105,898609,778019,263729,617504,907712,717326,139220,-1,-1,-1,-1,-1,80841,-1,769438,-1,687621,-1,694177,-1,518863,934522,277000,275211,-1,981149,239049,-1,94976,-1,370389,-1,224709,508133,703942,-1,777324,133449,-1,203512,-1,-1,613656,451972,196962,815446,130753,904842,-1,-1,-1,515884,724300,-1,-1,-1,814430,441071,-1,-1,-1,-1,361974,-1,-1,-1,-1,128116,-1,36719,237161,-1,324805,-1,436728,453926,644475,-1,663608,982257,837297,747057,-1,-1,-1,950959,56432,476067,420058,-1,65738,286148,569286,529076,-1,270372,-1,657860,-1,689059,-1,7973,-1,748904,-1,-1,-1,-1,201722,676055,-1,-1,-1,83348,51359,703292,686529,987147,654119,-1,-1,777908,-1,50321,330588,-1,-1,-1,390410,-1,54526,56298,-1,882208,-1,-1,-1,979559,-1,306416,50037,999286,-1,996098,158286,511549,221532,441538,-1,668852,652694,-1,849990,-1,-1,907713,441369,-1,153803,989490,868898,-1,710803,400789,-1,-1,237797,126536,704856,-1,359720,750572,300623,-1,383901,-1,-1,581570,-1,831731,107965,-1,-1,95655,541421,-1,-1,384953,-1,616215,92842,-1,-1,692805,970091,410663,-1,961635,-1,345330,111685,304989,425119,662787,-1,294961,177,736857,-1,-1,-1,16735,545866,-1,-1,984387,155029,-1,963842,588332,-1,749306,-1,-1,-1,-1,-1,-1,-1,544992,-1,-1,-1,559820,-1,23831,-1,461436,-1,-1,-1,172172,486707,172547,-1,230891,-1,692369,-1,-1,-1,-1,-1,19333,696970,-1,-1,90488,-1,257993,855504,-1,137392,-1,334462,952462,-1,-1,-1,-1,-1,-1,961551,886312,-1,921428,803635,254544,531066,-1,-1,-1,-1,997092,246525,534151,130741,686873,-1,507405,464224,-1,9184,-1,-1,774873,732281,256407,645045,65356,140631,164185,-1,-1,-1,-1,-1,857001,697200,-1,-1,-1,-1,293480,-1,-1,75510,244755,778307,355388,331218,908151,-1,621702,659666,-1,692844,-1,-1,-1,121346,150227,202592,-1,-1,-1,879939,855835,34222,-1,394863,-1,-1,-1,-1,923972,-1,775491,483390,-1,-1,766119,354703,-1,701554,-1,-1,-1,-1,-1,441848,-1,-1,196447,766553,88962,-1,982980,902810,583964,5140,-1,-1,669759,-1,846992,207287,630471,-1,569047,306827,328952,-1,-1,-1,767976,-1,-1,-1,684659,-1,312574,-1,-1,630770,868274,131938,714602,-1,-1,448225,691399,156902,463979,429741,138710,-1,-1,404940,-1,-1,-1,384835,-1,-1,-1,350607,-1,613885,666190,557261,-1,-1,-1,301821,-1,-1,-1,779690,-1,-1,856308,-1,164479,-1,-1,-1,493543,921388,665088,-1,-1,-1,-1,-1,280585,-1,-1,162790,-1,-1,382343,-1,-1,372061,912363,34157,-1,-1,747096,-1,-1,-1,313564,980185,-1,43689,4288,863508,-1,-1,-1,765204,732296,23028,-1,-1,-1,710866,980665,-1,887618,-1,930731,-1,687067,888887,717106,-1,903470,454336,412549,466988,441443,-1,42349,-1,120897,-1,-1,-1,-1,199986,-1,-1,339433,136407,653932,278881,132357,486178,943572,749173,-1,360418,-1,893195,489519,870161,160840,-1,162120,345948,-1,803167,346588,314887,-1,694043,49612,-1,-1,-1,-1,721754,734368,-1,-1,834633,406896,-1,-1,768358,615194,-1,-1,-1,-1,-1,717747,-1,815474,756469,-1,907168,924578,763994,921998,22208,-1,488728,456240,525734,691549,365691,-1,-1,117366,-1,726481,639806,519078,721448,-1,465863,-1,569628,-1,442338,447532,-1,-1,-1,-1,-1,999177,-1,300525,-1,-1,977829,968420,293466,790839,-1,322876,768766,96137,901829,-1,871994,343941,-1,377413,910412,-1,-1,113458,516840,391035,-1,372444,807279,-1,-1,342531,16138,793989,393596,-1,777255,405674,-1,-1,215229,-1,555893,-1,372022,-1,-1,399369,745690,-1,474077,404848,919894,770157,-1,-1,-1,376625,-1,326384,-1,-1,105760,-1,-1,-1,113881,-1,641365,-1,906023,416905,143894,578400,600795,-1,-1,-1,265581,-1,-1,709712,-1,-1,252013,-1,-1,278175,-1,476700,86533,-1,595111,-1,460916,65924,-1,-1,138232,-1,-1,530455,-1,838337,-1,-1,833239,-1,-1,479580,698441,-1,165981,154261,892026,89661,901760,892683,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,689776,614577,-1,557841,-1,-1,885392,-1,460927,991977,360688,-1,-1,-1,13411,315277,-1,642462,560780,170725,912213,-1,84337,-1,24706,-1,854292,-1,588467,698558,-1,892621,-1,-1,-1,-1,-1,-1,-1,-1,238801,329928,-1,308958,971507,593107,802095,-1,749391,-1,-1,716299,-1,-1,227305,-1,809683,869922,734500,905160,-1,-1,-1,661399,-1,404293,778295,215758,680065,-1,234992,-1,67038,119361,-1,-1,-1,-1,247875,570880,702234,236359,693216,-1,-1,719418,-1,-1,761969,-1,-1,545823,391754,40034,74532,-1,439348,982965,-1,-1,-1,476703,132859,94129,537993,36854,-1,638855,-1,262673,493959,931600,812298,-1,760142,736066,368314,924302,-1,-1,497415,-1,472554,390357,-1,-1,-1,421782,204614,720579,944464,257150,69069,905478,272772,-1,589915,651282,697488,563023,383716,-1,-1,-1,-1,424641,-1,134477,-1,612328,945582,-1,-1,-1,-1,870395,-1,-1,-1,467855,605940,62858,826215,-1,827608,-1,76034,133691,240062,167049,797224,482586,894283,556858,106798,-1,-1,334053,-1,-1,34632,-1,914729,428183,-1,-1,-1,572178,-1,-1,129134,908777,-1,-1,-1,-1,-1,-1,432445,-1,253514,867036,-1,-1,-1,-1,61688,485669,452608,-1,285934,218364,-1,-1,389270,130880,933607,-1,882869,410605,-1,623449,191848,709584,-1,-1,-1,-1,913310,655808,-1,549607,305777,-1,-1,18987,569708,-1,-1,-1,-1,841269,-1,-1,363363,633072,-1,171963,371315,837115,891246,829693,-1,-1,259976,-1,919539,-1,612570,-1,113689,997781,-1,-1,435107,566035,-1,656324,-1,988164,698880,978056,461339,31023,-1,210100,-1,676478,872579,-1,-1,653983,756322,401930,997880,-1,561332,269346,831431,531898,-1,-1,-1,944013,968428,-1,-1,-1,135758,-1,534620,-1,-1,285854,-1,-1,526166,185142,354388,-1,66282,-1,-1,-1,-1,-1,-1,-1,-1,824424,129674,-1,-1,-1,78401,405177,-1,-1,-1,810458,174408,-1,-1,-1,834182,-1,949810,7896,-1,-1,-1,850359,621386,-1,844440,-1,596872,393636,-1,-1,308400,-1,-1,-1,-1,-1,233900,-1,-1,-1,-1,-1,1518,-1,542069,81959,-1,228764,470169,-1,531642,640299,393018,-1,-1,60827,409484,-1,697289,24784,-1,791575,-1,736256,-1,-1,-1,368522,-1,353871,-1,234538,73636,-1,-1,-1,-1,-1,946231,413912,508172,-1,-1,-1,-1,226574,893623,-1,490452,288633,848507,415315,-1,931045,376121,24301,971946,-1,-1,-1,-1,-1,158769,-1,872745,-1,933137,-1,-1,193554,455908,210668,844483,-1,-1,-1,286435,-1,-1,617094,-1,925729,971160,995842,-1,646355,-1,-1,-1,-1,261970,221896,-1,-1,-1,52929,299603,-1,-1,-1,-1,-1,168771,7779,463054,-1,-1,-1,887980,901276,-1,92968,111144,137594,276572,712324,965806,745059,-1,833359,-1,554744,-1,-1,-1,448766,-1,415286,-1,631767,880569,190662,420145,289835,-1,-1,372232,-1,-1,205126,905303,47234,841400,-1,-1,-1,787413,-1,643669,-1,-1,244420,-1,693462,764693,-1,673264,-1,919839,-1,-1,757332,-1,-1,184958,738406,-1,-1,-1,856923,533950,-1,385433,-1,445005,-1,-1,172500,-1,883510,642756,-1,969736,-1,-1,986426,373144,-1,-1,-1,588421,905559,-1,182149,-1,-1,903069,-1,289039,-1,-1,504631,548821,306992,-1,545226,-1,-1,-1,-1,-1,822077,920443,-1,-1,-1,-1,738571,-1,275993,280223,298423,116880,-1,748233,-1,-1,-1,-1,520223,-1,855995,-1,488755,670807,-1,-1,-1,831296,332300,496076,530190,-1,765977,417605,-1,-1,-1,-1,555029,904486,491180,-1,-1,-1,-1,-1,95586,698055,-1,-1,639908,186809,-1,-1,-1,-1,-1,-1,766817,31702,971376,575017,976150,-1,-1,-1,586070,340880,315146,-1,438599,435127,-1,398977,112508,256418,291891,132574,88140,188436,853658,143840,190665,184827,16746,599404,-1,-1,-1,992597,-1,-1,31859,-1,461734,270238,-1,288144,352905,-1,533768,239164,129921,-1,788260,-1,825504,72790,-1,-1,284907,221883,967159,-1,571730,528115,-1,43984,-1,-1,-1,674543,-1,-1,-1,872393,-1,-1,404009,-1,293819,-1,734362,-1,-1,-1,-1,998585,283017,-1,-1,170846,554421,-1,-1,-1,-1,287187,304477,524864,-1,-1,325027,-1,-1,-1,-1,-1,885537,226603,-1,378120,-1,75625,159975,223279,670578,82694,-1,980354,-1,-1,-1,-1,-1,-1,918238,555938,853417,418932,625458,549194,-1,980708,-1,877854,189043,968499,551009,462508,-1,-1,280311,860136,-1,926672,404781,936320,-1,-1,205365,993255,294786,-1,498372,478873,-1,409444,-1,691346,374505,351785,637149,326381,-1,-1,-1,238474,426504,-1,-1,888891,-1,303663,420855,-1,-1,-1,-1,3190,-1,-1,-1,909976,-1,82489,-1,-1,-1,-1,-1,110941,227332,-1,785156,15187,-1,498723,-1,-1,585784,-1,-1,-1,675124,-1,-1,-1,101165,498963,-1,483938,-1,50965,328163,-1,8614,594951,926591,197063,392181,-1,-1,736918,92642,56046,46839,-1,913596,-1,932651,-1,-1,656056,853821,867646,346182,-1,-1,-1,782155,868949,570965,-1,924140,-1,-1,-1,-1,-1,270018,498447,405975,-1,861011,-1,-1,-1,977798,717489,314199,296564,24159,417151,865699,166312,-1,-1,750298,781692,450874,635309,-1,-1,139692,194529,-1,143245,37554,-1,630882,117653,780234,981236,-1,90148,825179,-1,-1,57039,735135,-1,821203,-1,48177,-1,11331,-1,-1,-1,-1,-1,949263,501685,-1,-1,-1,-1,-1,-1,-1,750929,3789,-1,-1,-1,67834,29189,-1,-1,-1,-1,-1,425926,-1,-1,-1,-1,455345,-1,-1,-1,-1,-1,142008,-1,-1,140264,-1,742387,840323,124471,229214,589896,730610,-1,-1,-1,244840,569061,-1,865578,838279,-1,573957,737975,-1,-1,379019,638263,-1,720133,-1,-1,-1,-1,557654,-1,-1,522475,-1,29064,-1,599921,-1,-1,-1,601087,969006,775587,889087,895884,-1,-1,565916,448813,935716,806615,-1,251765,-1,40967,606344,293111,480251,-1,-1,525841,388223,832181,-1,-1,-1,534150,262902,259034,-1,196376,-1,270823,-1,530023,-1,-1,326672,-1,429531,798652,-1,95880,-1,26258,-1,275582,749094,499369,364596,-1,824863,-1,-1,-1,-1,-1,-1,-1,89579,4998,230981,-1,-1,-1,-1,-1,94428,707703,41110,-1,-1,351600,155422,954903,975814,-1,895044,-1,933796,-1,251306,-1,954888,-1,-1,660103,-1,-1,733282,277445,-1,-1,-1,-1,44035,712537,-1,-1,908011,376957,810374,681032,251573,209133,-1,-1,-1,114522,115543,-1,700860,29525,-1,-1,328870,-1,952513,-1,-1,944042,-1,-1,-1,976664,748757,261399,411462,516793,-1,512202,491481,-1,-1,529988,-1,-1,100934,-1,-1,797091,443113,139298,-1,-1,-1,848412,668088,690107,96140,720532,-1,157581,-1,-1,874894,361928,-1,-1,556512,541641,-1,-1,317126,-1,-1,192845,-1,157496,-1,302925,-1,576689,688987,-1,212774,-1,486975,-1,896051,541763,562840,-1,-1,284050,528954,-1,450083,163823,-1,-1,760199,502028,-1,-1,-1,233374,815663,-1,-1,-1,-1,14482,-1,759882,224296,-1,-1,717976,476253,-1,-1,228936,-1,597307,620916,720188,882334,729718,186291,549766,-1,50788,-1,-1,-1,237505,798664,891953,971742,-1,800202,-1,314354,748644,166634,872198,-1,-1,870482,947359,330103,912360,474677,488051,-1,641709,33741,-1,763185,-1,873005,-1,-1,-1,837304,263313,-1,397856,950022,683952,455907,493870,666026,134608,247445,685153,-1,-1,300315,-1,-1,325454,813944,-1,776260,-1,-1,973668,340234,-1,56663,-1,-1,-1,583537,-1,-1,616699,-1,369762,-1,600145,703528,563008,-1,-1,-1,-1,-1,111231,-1,-1,915129,-1,-1,842840,923629,517597,-1,601550,-1,-1,967562,436056,-1,620664,645851,-1,-1,-1,156997,-1,-1,934405,-1,-1,-1,-1,952177,231336,-1,-1,-1,528504,-1,-1,-1,-1,436600,-1,-1,-1,565276,501587,117,-1,379421,500940,-1,-1,323609,-1,-1,-1,-1,-1,836744,-1,-1,241506,336817,-1,-1,621087,821816,-1,-1,-1,-1,552710,374729,-1,-1,-1,-1,645042,-1,-1,-1,-1,-1,708913,-1,-1,-1,494359,-1,114356,-1,-1,155089,-1,161917,728277,410879,889526,397352,559747,-1,-1,49067,335562,-1,-1,14931,595134,-1,782382,66383,-1,-1,-1,-1,297509,-1,-1,-1,135763,467643,-1,527083,-1,-1,29164,-1,533908,-1,193066,128191,305770,-1,383769,498003,481097,-1,500740,71652,55921,-1,66179,-1,-1,643656,175408,771077,-1,-1,-1,-1,88589,126000,730859,341226,346832,728578,-1,619889,-1,489948,415971,897371,571974,-1,326055,393503,880107,413221,-1,-1,864215,928982,-1,435815,857449,-1,710709,542211,-1,-1,-1,-1,-1,-1,846775,-1,132808,239552,67006,-1,419363,192564,172935,899315,609947,298176,-1,140304,980666,-1,707642,818072,-1,-1,427194,546476,301229,-1,-1,-1,748452,-1,239846,-1,-1,773322,-1,145845,-1,664426,224708,395007,928456,597891,-1,111538,-1,-1,815630,-1,209568,245488,-1,262194,-1,679462,864846,-1,-1,622212,-1,920807,265985,-1,-1,-1,77288,-1,-1,93131,-1,498519,-1,820872,619025,-1,-1,892687,-1,-1,470105,-1,831974,314552,-1,193491,444692,-1,-1,536945,-1,970902,407387,-1,669208,204135,-1,973496,258345,-1,-1,-1,863134,-1,-1,-1,-1,-1,-1,220765,986093,-1,-1,443381,573452,-1,-1,-1,103048,810055,553486,-1,204138,-1,-1,-1,882849,-1,98920,-1,-1,-1,-1,-1,322016,-1,-1,932204,-1,511802,-1,969275,17139,-1,517901,903744,369385,-1,140746,-1,-1,801031,-1,78645,-1,-1,407484,-1,-1,-1,30507,-1,136245,-1,-1,-1,131566,-1,-1,-1,-1,228661,-1,-1,378798,-1,387882,-1,47358,139181,509032,763054,341328,-1,-1,-1,-1,-1,-1,344396,190245,-1,338960,347385,-1,510891,354814,224191,-1,-1,-1,814472,-1,262362,401289,-1,145224,-1,-1,-1,528937,-1,448901,546657,257965,-1,-1,457317,-1,424924,20186,-1,-1,-1,977830,499089,613884,57842,-1,609695,-1,-1,86722,472784,-1,727206,619202,302984,-1,64029,386240,269070,-1,247275,-1,-1,-1,918691,-1,-1,765495,693034,771156,698388,961581,210834,698293,915909,-1,-1,-1,698481,730719,-1,587651,-1,-1,221595,-1,-1,-1,-1,444595,282248,856941,4653,476620,-1,-1,829248,117817,848541,-1,450961,406107,-1,-1,634066,-1,-1,-1,-1,547665,-1,110261,-1,607690,-1,929186,-1,956219,-1,938356,-1,491070,738534,-1,-1,71605,-1,-1,-1,76003,594027,787579,798049,-1,-1,438370,334104,827940,75310,795298,488284,940605,-1,682330,377591,124577,-1,967907,-1,671587,754301,667116,527703,286242,-1,-1,-1,550068,220490,959503,-1,650002,-1,-1,387716,862834,-1,687522,35209,853859,-1,-1,15917,-1,-1,-1,-1,17011,638160,4438,4449,574453,-1,356859,581702,401150,995763,-1,919275,479946,777715,-1,338080,383761,-1,309280,-1,-1,506755,-1,-1,-1,-1,747408,-1,-1,-1,-1,896586,500191,328828,672415,381989,-1,720183,-1,411910,-1,-1,816832,-1,-1,780471,261725,-1,571516,613284,981647,765724,632186,-1,782636,497518,-1,829189,201096,922128,-1,498057,-1,-1,255108,639514,739752,-1,445702,910431,251052,525298,-1,-1,-1,563085,-1,-1,203762,-1,-1,-1,304595,-1,-1,-1,-1,-1,-1,-1,146666,338245,583891,434312,-1,-1,574500,189663,-1,135315,-1,896347,465799,-1,558619,-1,-1,741029,-1,-1,445673,-1,975358,274619,160923,591458,997958,593145,864986,-1,-1,598293,254852,-1,218502,36177,971575,-1,361566,743115,754132,476568,-1,20029,345591,879014,-1,-1,355895,-1,192887,206044,4989,949831,-1,725817,-1,281438,-1,-1,-1,702674,992079,-1,550929,-1,-1,333257,940669,-1,-1,997480,-1,850226,-1,-1,-1,774677,177699,424295,42783,555311,-1,806126,-1,381751,-1,619104,-1,-1,611361,-1,-1,387154,37601,292737,845898,241903,357162,-1,805702,-1,-1,516896,-1,957664,286120,-1,140181,536527,-1,125304,-1,-1,576569,-1,-1,-1,-1,-1,-1,-1,736056,953487,251351,-1,-1,837359,789168,-1,619939,328969,49057,-1,67979,-1,898441,558200,-1,907671,-1,2043,-1,-1,389696,98004,323068,-1,270956,-1,786232,833185,468676,-1,-1,688522,722895,-1,866650,396295,-1,347476,363751,-1,924804,964535,-1,-1,-1,-1,-1,-1,815377,937880,-1,481003,-1,-1,451983,-1,-1,-1,-1,708221,209222,171329,-1,-1,-1,-1,648667,850271,-1,-1,193581,-1,-1,-1,-1,-1,-1,-1,160270,-1,-1,-1,-1,732111,790112,97219,867392,-1,-1,-1,244764,545622,-1,-1,87978,802107,-1,-1,-1,-1,453797,-1,642922,-1,646203,-1,-1,-1,263670,-1,-1,938747,595927,-1,-1,-1,-1,-1,-1,604788,-1,994994,-1,-1,381178,17311,973451,-1,579848,959211,-1,379872,-1,182517,526042,-1,-1,918424,-1,174369,-1,223412,355606,-1,208541,-1,290051,-1,525716,966213,422221,100633,331717,414334,639019,498902,599141,230548,-1,-1,422121,-1,520766,-1,567768,595686,831497,-1,-1,240217,641721,925283,-1,67737,-1,755420,926156,400480,-1,-1,-1,-1,62271,864056,627525,728790,-1,-1,359441,468700,598545,681161,362931,-1,452447,-1,197448,416134,300761,270856,628032,503681,313378,-1,897731,-1,531480,-1,-1,987673,-1,74201,-1,-1,34111,33302,-1,864353,-1,263056,157562,-1,-1,-1,-1,277399,-1,116580,-1,-1,304586,787597,-1,582489,-1,712232,336591,629021,-1,-1,-1,-1,895055,248176,906153,-1,-1,-1,279832,342764,-1,-1,-1,-1,222656,767789,757468,250606,-1,-1,196418,-1,831755,-1,-1,-1,-1,-1,732059,-1,-1,730616,-1,542634,-1,-1,448211,237860,865937,814490,706556,-1,789588,-1,823061,-1,825747,-1,1698,438773,375211,797714,69643,-1,460127,889963,-1,303548,-1,-1,251126,318462,562466,489212,-1,-1,203965,-1,-1,715414,12455,404170,-1,959353,-1,816373,667534,687596,-1,268482,68929,-1,359209,-1,904724,-1,413502,-1,-1,-1,661252,-1,-1,-1,-1,925472,597897,-1,949195,604582,631661,-1,288359,-1,362307,-1,168542,713233,775501,615024,-1,137464,797801,-1,-1,-1,419031,27000,-1,122773,101466,92511,-1,408559,851109,-1,208151,811034,-1,-1,954352,377049,-1,-1,-1,865494,140963,811653,-1,-1,340831,44561,-1,-1,256126,550388,473590,-1,705553,-1,45236,-1,482969,-1,596510,878200,898986,988062,730571,206811,234174,56277,-1,-1,-1,195559,-1,643909,-1,785351,556358,-1,815839,769164,-1,425783,525190,-1,-1,-1,-1,-1,248316,-1,-1,448397,21563,-1,526893,721200,737312,89798,-1,-1,762732,-1,851513,238588,-1,-1,843026,-1,-1,-1,597613,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,130432,-1,-1,880077,879837,460306,-1,957311,964520,-1,548710,-1,-1,610695,-1,-1,15134,614271,-1,24978,55324,-1,66206,-1,-1,44776,-1,-1,-1,440944,197230,556662,-1,-1,-1,743988,-1,-1,675883,-1,-1,-1,640222,149248,289917,-1,761746,-1,-1,46964,-1,989611,642294,163053,299302,-1,145450,188301,-1,258501,734464,-1,205379,942172,-1,-1,247,-1,136737,-1,992314,106873,219779,-1,-1,-1,-1,-1,584644,-1,221118,241247,335185,655417,712917,387511,-1,-1,-1,-1,950629,838974,-1,352742,711278,-1,-1,489267,-1,275600,859379,486415,-1,239678,-1,-1,926171,2453,85594,79297,-1,-1,-1,-1,-1,162691,599306,963427,731066,-1,-1,-1,-1,454630,-1,-1,416712,424,292955,390671,795444,424733,149505,-1,-1,628258,276718,749856,-1,515973,924642,-1,522167,761806,336234,-1,245024,717997,-1,-1,-1,-1,613476,164310,620045,-1,-1,511460,-1,685370,465479,-1,664820,-1,-1,14053,50183,-1,330871,-1,942970,-1,86051,-1,155250,-1,-1,-1,336341,-1,-1,504030,-1,-1,191836,610129,-1,-1,475188,-1,-1,-1,205676,-1,-1,-1,500350,-1,28674,-1,734569,678815,-1,197345,294102,-1,79122,-1,899653,-1,-1,-1,313488,427649,-1,-1,173776,796798,-1,605161,524663,579597,484254,211271,73045,594601,186566,685928,967873,274249,618966,863153,-1,208413,665746,-1,651756,-1,-1,-1,-1,-1,690674,922405,-1,-1,172938,-1,974105,-1,193999,434821,687297,-1,-1,-1,613848,915114,404665,-1,-1,437591,368940,692061,415017,142751,910920,-1,143430,631958,-1,-1,-1,-1,24684,581716,453022,-1,578913,-1,622932,582828,610925,-1,320886,109227,-1,577992,-1,-1,760096,-1,260807,-1,774223,-1,-1,-1,907444,-1,-1,-1,733905,-1,-1,316145,907330,651731,-1,-1,-1,-1,-1,-1,-1,813189,-1,-1,-1,-1,-1,-1,-1,529775,-1,-1,-1,539085,-1,-1,638705,-1,-1,442307,-1,897175,-1,-1,860479,386451,872626,335191,-1,714338,-1,-1,-1,356745,-1,858007,-1,139652,-1,735830,765327,383281,-1,271496,-1,-1,-1,501448,-1,699702,-1,-1,270186,578444,172552,141720,-1,453342,-1,-1,-1,940403,-1,-1,649159,-1,-1,967230,-1,83670,979682,-1,-1,479362,-1,285190,340077,73850,559507,-1,402716,-1,-1,-1,418699,346054,-1,648416,783916,660506,-1,-1,366510,-1,573468,-1,-1,-1,-1,309624,739785,886435,682676,177207,-1,19726,75994,111957,640336,-1,-1,454195,867056,865344,839594,-1,-1,743553,999961,793865,-1,-1,-1,-1,467443,-1,661644,-1,479565,-1,437308,-1,280077,-1,-1,-1,366759,255985,-1,-1,779657,126586,860177,188007,-1,-1,423272,-1,229920,872090,99190,-1,-1,470702,286684,279006,-1,742049,837835,-1,751225,-1,-1,-1,88618,150260,5701,940302,990820,-1,515424,-1,-1,-1,-1,714949,221487,889742,963369,366105,828918,-1,773754,508975,840737,658625,423992,987155,-1,772391,-1,345989,270522,-1,-1,-1,266600,-1,914047,166327,185300,62087,922985,833303,378444,716863,-1,311288,-1,356608,-1,-1,-1,-1,145692,764699,354484,-1,-1,-1,-1,-1,-1,-1,-1,329128,804319,-1,-1,426490,-1,-1,518372,511387,-1,-1,453382,-1,-1,-1,269980,989964,380443,-1,364901,-1,337422,742198,86643,-1,468517,-1,-1,335827,845527,462994,-1,-1,107362,-1,627981,672311,485218,-1,-1,-1,453717,122959,-1,141415,-1,-1,-1,-1,-1,677232,-1,712300,298429,872401,407092,-1,-1,-1,402368,-1,-1,-1,-1,-1,-1,800365,-1,-1,854056,-1,-1,943152,-1,533924,446760,187561,187696,266356,-1,318563,-1,377465,201451,-1,-1,-1,732113,-1,193954,896717,-1,662993,-1,158315,479813,580669,-1,-1,-1,-1,-1,-1,-1,556952,464081,-1,-1,599411,74523,42970,-1,-1,291818,941874,954027,-1,262792,678830,757847,10045,-1,821609,-1,943513,-1,-1,-1,809777,-1,604990,-1,-1,-1,-1,929891,979784,-1,382071,-1,-1,463014,368287,-1,-1,-1,365395,-1,878260,989999,569260,546347,108533,300387,-1,94499,-1,957543,643202,516084,-1,512768,-1,271963,312692,640025,-1,153049,815755,624104,606466,-1,-1,782397,670471,445370,481202,-1,811132,-1,749413,908840,396596,646714,688619,167873,325886,756156,492006,889753,91475,-1,837550,284136,-1,-1,-1,-1,-1,-1,-1,633491,-1,-1,800437,-1,-1,852251,438717,786522,-1,754152,926706,225820,928303,-1,-1,-1,-1,567523,298747,-1,-1,346377,-1,352882,9849,-1,94922,147377,-1,963590,89813,-1,251470,254635,-1,-1,888691,-1,723146,-1,-1,-1,769023,-1,-1,-1,625465,245168,939235,919924,-1,-1,780193,-1,-1,-1,677940,749745,314292,-1,488071,-1,460221,656943,-1,850717,787952,599626,-1,820130,-1,715370,796771,725644,468892,936952,-1,-1,808442,-1,-1,338367,-1,658412,-1,307539,-1,-1,-1,-1,-1,45326,720246,435892,-1,-1,-1,72428,181427,710789,480282,852735,734547,-1,226026,209967,194098,-1,75182,130207,-1,-1,761316,532623,276271,-1,887664,-1,437950,729772,-1,-1,-1,751321,-1,-1,575265,-1,535316,164360,-1,-1,-1,929590,-1,165779,-1,-1,-1,-1,-1,396556,-1,-1,-1,-1,493375,-1,-1,-1,-1,-1,-1,-1,370272,622995,823691,669231,-1,-1,-1,-1,-1,-1,767085,704422,557168,-1,-1,205253,-1,-1,555172,-1,637492,-1,-1,401772,356109,-1,-1,286205,-1,637918,26349,882897,924882,992550,-1,120274,278229,-1,153905,20750,882571,756687,-1,-1,-1,-1,-1,-1,-1,219333,-1,510763,-1,-1,-1,-1,498438,864260,-1,367438,177353,299528,-1,-1,756531,163760,-1,-1,-1,801421,-1,-1,-1,149260,-1,675695,350275,34499,194179,809321,226750,509591,784693,225296,209558,13757,-1,353350,-1,-1,-1,354115,137164,-1,-1,272539,903678,-1,855415,512194,238718,167441,626255,-1,-1,574015,518633,-1,430851,268115,-1,747075,-1,-1,926126,197190,-1,-1,-1,685464,-1,-1,623905,-1,-1,-1,-1,580025,353593,793806,884145,550622,-1,-1,-1,-1,-1,291373,-1,-1,570904,434660,-1,173367,-1,-1,31666,201597,540409,313336,-1,-1,400572,-1,259101,580701,-1,679809,-1,-1,-1,173499,-1,830975,124781,-1,80088,909506,-1,679823,-1,-1,366815,835779,-1,-1,-1,10638,-1,-1,-1,-1,873590,908817,-1,249732,240191,122288,-1,240650,-1,-1,-1,147729,-1,531128,573751,835383,856956,16897,928911,668409,-1,190884,274142,311943,-1,633614,-1,-1,633015,806700,-1,232325,696519,-1,-1,256137,474434,986725,-1,412554,-1,632863,-1,-1,555959,821540,569876,349306,47559,637919,95321,17819,-1,-1,-1,520075,775743,60378,606906,117916,-1,-1,-1,-1,-1,728400,-1,-1,-1,480265,-1,-1,61856,512142,683134,940590,-1,825440,-1,63507,-1,734632,-1,-1,-1,431515,433380,-1,-1,-1,917631,-1,475256,983596,738903,-1,-1,-1,-1,-1,415410,-1,-1,-1,309443,-1,128428,-1,-1,842755,578376,-1,759318,-1,16680,436370,984979,638206,152383,-1,-1,-1,498153,-1,-1,918606,-1,-1,58046,-1,135745,-1,-1,400810,-1,545635,497351,-1,-1,-1,-1,654656,292099,898700,888077,-1,734769,281935,-1,302050,-1,-1,680889,-1,-1,-1,-1,989097,848682,220420,-1,-1,757804,-1,116039,858562,-1,-1,322552,544535,-1,-1,295502,-1,-1,-1,521713,970794,-1,-1,-1,535614,458533,-1,-1,-1,508250,159616,-1,299175,-1,20663,-1,-1,-1,419610,54737,-1,622500,-1,-1,-1,-1,-1,247679,408231,123098,-1,367911,120727,-1,698413,136189,167588,-1,-1,564516,542184,-1,77083,-1,465769,-1,-1,884861,690494,-1,641729,-1,-1,-1,-1,322513,-1,-1,884941,712550,-1,-1,880322,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,699725,-1,-1,702857,-1,-1,-1,-1,437454,223753,889320,729577,-1,-1,178094,-1,-1,611950,202239,-1,-1,801391,820153,900401,-1,471729,8010,-1,577196,-1,600708,-1,512484,329869,164065,-1,540555,-1,-1,-1,-1,821104,-1,-1,-1,-1,-1,244290,-1,246928,-1,764169,-1,-1,-1,229078,205546,15165,-1,893789,-1,-1,589263,-1,247624,-1,-1,467595,-1,-1,-1,-1,-1,-1,-1,14080,457136,-1,-1,965025,601202,-1,237851,-1,99777,48544,-1,-1,438645,-1,441327,-1,-1,711464,957757,889131,906378,614802,668823,-1,925039,-1,198879,-1,161051,960401,-1,-1,157365,-1,-1,892897,482078,499748,-1,-1,-1,350035,268888,-1,-1,115690,162452,-1,669424,447936,722028,-1,-1,940553,196991,948570,-1,-1,884287,864717,-1,364126,-1,579523,251798,108835,-1,457678,835658,494370,-1,-1,-1,904243,-1,165047,625555,-1,-1,308151,-1,491802,-1,680564,437339,883298,-1,-1,983269,-1,825676,736083,-1,725714,-1,482807,-1,-1,382623,-1,-1,869877,260757,683239,91204,-1,-1,-1,640962,345781,-1,316663,262815,714697,-1,-1,-1,-1,764576,279873,-1,432291,398442,784957,176983,-1,795310,346680,-1,-1,-1,372347,-1,-1,469134,496516,-1,-1,-1,-1,-1,-1,-1,561967,-1,-1,-1,-1,128282,342663,504482,244137,-1,51644,412754,318833,-1,885846,714119,402055,870227,-1,633851,-1,990950,-1,-1,285861,-1,-1,-1,223,664958,82967,291119,-1,-1,-1,-1,674222,330201,-1,-1,265098,-1,-1,368597,-1,-1,-1,713982,369379,774520,754600,542402,-1,-1,-1,-1,-1,232604,965886,987600,408835,449884,-1,244056,-1,506715,-1,-1,282518,-1,-1,-1,-1,864205,306564,-1,14232,-1,-1,-1,997489,-1,862614,-1,-1,199130,-1,149529,856616,-1,-1,893943,633106,-1,-1,218672,261664,-1,86333,510592,589927,278633,26291,178055,182444,407963,-1,81907,326173,-1,906170,345293,559365,-1,-1,-1,420812,-1,-1,-1,475854,679089,-1,-1,-1,-1,-1,468934,73234,559209,920568,-1,643075,-1,582023,-1,560676,237578,235405,337858,-1,-1,-1,-1,-1,585050,847985,-1,-1,-1,-1,522207,660142,941411,530539,-1,912264,802041,494556,-1,175659,106051,417009,-1,-1,993400,322989,994108,-1,-1,-1,537537,-1,-1,248263,-1,411542,-1,694322,918924,-1,711060,-1,119985,981806,639668,61638,167003,-1,230085,-1,-1,-1,631139,-1,-1,-1,-1,-1,-1,279077,962339,575546,-1,24090,-1,895851,-1,747293,392021,-1,-1,523160,424711,-1,894110,-1,41455,391758,-1,-1,506987,390582,540719,320703,864502,-1,580012,-1,-1,105407,-1,364941,-1,-1,-1,-1,405594,-1,-1,-1,-1,-1,-1,381206,286108,174509,683792,-1,643951,498703,839435,865256,76558,-1,-1,-1,487743,-1,51142,473737,-1,859725,-1,-1,563002,-1,338961,-1,72992,-1,-1,-1,384414,-1,714089,-1,-1,-1,556894,-1,-1,928419,-1,783659,295933,876718,574875,-1,-1,-1,107508,894785,-1,271413,102020,-1,-1,363198,193783,231782,852950,-1,379449,-1,15672,-1,649828,-1,904254,576203,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,873320,476839,123189,-1,-1,769000,-1,689110,-1,-1,-1,867656,-1,-1,937016,-1,248102,-1,933415,391874,625980,363439,-1,255589,316607,-1,424137,130182,-1,-1,-1,-1,-1,-1,305803,-1,426641,200289,281459,457337,974588,830447,350970,169745,-1,606177,-1,-1,977334,-1,461649,63847,-1,-1,-1,-1,939112,-1,743981,-1,-1,607319,319007,516224,687649,-1,-1,54089,923091,-1,-1,865393,513837,192875,-1,562690,130039,673556,-1,-1,-1,420799,-1,-1,-1,-1,-1,-1,-1,204451,-1,240880,185790,-1,178850,180122,-1,825054,375249,46122,49300,411267,724673,-1,80148,784531,157968,-1,599965,848863,-1,-1,-1,592275,258217,-1,-1,317261,-1,-1,-1,316032,61090,996269,144239,-1,-1,-1,-1,603332,-1,602995,513424,697194,-1,-1,-1,-1,-1,626677,719817,712799,-1,521972,-1,955632,343750,303138,-1,831427,303122,-1,-1,528110,-1,-1,509166,384216,786726,54623,-1,316172,210952,898780,-1,-1,689504,-1,105720,-1,-1,-1,891083,-1,-1,-1,-1,-1,-1,-1,-1,-1,373519,575633,-1,-1,221669,197424,477760,-1,744872,-1,-1,-1,-1,-1,832475,-1,-1,165451,358845,-1,-1,630347,522414,912265,540575,-1,399504,-1,-1,-1,802,755305,-1,-1,-1,658965,329152,-1,391818,333876,-1,134936,-1,759274,855474,861718,-1,861337,458133,-1,926866,-1,825287,-1,720072,47154,-1,807504,-1,-1,-1,-1,-1,-1,-1,417723,-1,-1,896040,-1,380701,-1,-1,-1,-1,-1,-1,-1,477673,439014,-1,550390,304318,25456,506046,486507,-1,-1,-1,-1,-1,271170,-1,491817,-1,-1,-1,811840,-1,-1,917330,-1,-1,-1,558098,370591,497386,-1,-1,300641,-1,-1,619860,-1,383375,-1,937648,910183,527874,-1,-1,-1,-1,-1,-1,-1,-1,503926,907787,-1,-1,509586,-1,-1,-1,93263,945209,348328,-1,-1,-1,-1,-1,292134,-1,-1,-1,569501,731065,-1,-1,-1,654326,-1,94160,849065,646304,-1,170101,51109,805878,610251,609992,225601,-1,224732,-1,575211,952791,-1,116158,-1,-1,-1,-1,-1,179831,-1,-1,379682,757773,-1,-1,235420,-1,420238,958229,-1,-1,-1,-1,288981,-1,248590,-1,354994,-1,-1,56182,145780,-1,750639,-1,25845,411883,-1,420357,561262,597513,995181,772981,-1,-1,-1,-1,-1,-1,768435,948997,94638,190855,-1,-1,512040,-1,926628,-1,807729,840489,413777,930526,-1,-1,-1,848592,783859,-1,-1,-1,766625,-1,256272,-1,155163,-1,147943,-1,-1,-1,47514,-1,-1,327664,50698,496820,-1,-1,-1,701081,118414,96284,295664,546097,95288,191439,124271,-1,622602,500039,794848,192965,-1,-1,-1,623314,764830,-1,-1,57703,-1,786142,935355,821135,237824,195517,-1,-1,-1,-1,362473,669900,-1,832680,216186,-1,-1,-1,121813,413983,352476,777336,828323,95451,160069,152613,384343,276844,767954,-1,-1,627982,940239,629762,493227,-1,-1,520207,501528,-1,-1,-1,-1,-1,-1,119623,-1,-1,-1,349940,385011,-1,211796,-1,135646,818026,-1,-1,702373,-1,215943,-1,926266,-1,48792,-1,-1,272284,980010,739369,188447,-1,-1,-1,579388,-1,-1,-1,-1,589873,527640,876301,-1,3577,-1,-1,-1,389510,-1,-1,896182,-1,872726,-1,-1,8001,746762,-1,650269,822114,542785,576002,222333,82421,-1,236244,605781,608898,-1,-1,109887,988201,483222,214964,-1,66419,-1,674276,-1,764172,-1,-1,-1,412681,365172,547259,-1,484236,560138,-1,-1,-1,965050,714768,960424,506852,501252,3345,590264,-1,-1,68748,-1,213636,33087,829779,-1,-1,-1,545795,626269,-1,-1,860441,731441,561985,-1,-1,-1,-1,-1,722015,-1,-1,16014,892676,317697,-1,733420,102369,-1,-1,-1,119513,862258,-1,-1,-1,858353,-1,-1,931841,-1,696664,-1,-1,-1,-1,302809,-1,232199,226452,153942,803724,-1,-1,-1,-1,420019,-1,620563,609221,-1,-1,-1,921967,-1,-1,613971,750427,-1,550994,-1,274568,-1,467189,880479,895773,568483,-1,903657,-1,-1,-1,-1,745586,426051,410519,-1,92645,-1,796130,-1,-1,944506,-1,-1,971058,572505,-1,-1,690475,-1,767694,-1,878937,655323,-1,693142,728202,-1,-1,-1,869308,-1,122778,446451,-1,102322,-1,-1,412331,-1,-1,160655,-1,890691,-1,851683,928358,-1,-1,684981,-1,-1,360634,-1,867824,-1,-1,-1,511125,824365,937353,-1,240735,-1,7828,662180,747024,-1,-1,43678,-1,-1,-1,-1,-1,-1,-1,218311,651272,90313,-1,-1,144810,888310,411141,-1,-1,-1,252789,-1,-1,-1,-1,958402,760589,841120,-1,824151,273877,-1,197443,422494,-1,586935,-1,-1,782898,779593,744924,-1,963825,190739,583198,-1,-1,988750,606308,417431,-1,-1,-1,-1,185429,126701,486763,476855,890680,-1,-1,247342,-1,-1,-1,-1,-1,961764,-1,-1,687821,-1,-1,-1,109821,-1,-1,730521,-1,-1,719179,47449,-1,860468,-1,708393,163664,-1,899522,876713,146832,-1,-1,-1,-1,-1,472010,-1,-1,36707,-1,851696,932173,217121,717802,-1,-1,517092,43112,-1,-1,-1,715458,-1,394541,-1,-1,-1,362432,79707,-1,-1,-1,808214,664799,107798,134875,373330,87991,-1,208121,523260,-1,-1,-1,218619,-1,189745,84347,-1,-1,597369,-1,-1,833916,938865,346143,-1,-1,-1,756427,-1,717177,-1,624370,-1,56571,-1,-1,404926,208955,840497,654342,-1,604357,-1,326746,-1,-1,-1,-1,399875,-1,490252,695876,930861,-1,-1,195326,698429,-1,476221,472523,50139,710028,-1,-1,-1,200427,846010,932157,750273,-1,-1,916682,-1,375526,992046,285692,-1,-1,706043,415853,-1,-1,484769,359453,199151,-1,758834,235099,-1,14970,-1,66334,13968,-1,620116,-1,14278,220232,615042,387596,-1,-1,225803,31818,341065,942886,379920,540061,684371,539243,557262,-1,-1,-1,-1,643802,-1,-1,-1,-1,-1,945364,-1,-1,281451,-1,-1,-1,814474,-1,-1,-1,911114,283129,667321,979885,576413,-1,488150,201533,614029,-1,-1,326120,622827,391735,-1,-1,-1,743859,675169,482986,638852,-1,-1,52759,-1,-1,-1,245846,944540,-1,-1,-1,-1,639510,660767,509993,290897,728351,-1,-1,311270,364764,-1,274559,771257,202974,-1,350967,-1,-1,-1,-1,492244,-1,711148,-1,394791,-1,-1,87701,-1,-1,-1,-1,850142,-1,414269,-1,762136,-1,738203,-1,34644,-1,357856,832828,-1,707114,-1,895854,-1,-1,414530,875352,932436,-1,255227,-1,631074,991953,962327,762667,-1,-1,204290,769859,-1,-1,-1,177157,958209,-1,71430,-1,-1,387328,809946,316378,176139,-1,417999,808304,-1,-1,306651,-1,307212,-1,299650,164751,-1,-1,89473,-1,958269,-1,990649,781837,-1,-1,200413,91082,637383,-1,-1,-1,-1,-1,703473,-1,-1,-1,-1,-1,191339,719055,-1,-1,-1,-1,-1,197470,769847,326757,931415,520486,-1,111007,-1,135319,5924,-1,147453,328936,-1,-1,-1,-1,-1,513520,203544,-1,-1,646620,149328,-1,746182,928183,-1,387383,-1,970253,936236,-1,-1,32567,-1,-1,-1,-1,-1,-1,229030,728240,347111,-1,-1,-1,-1,52230,941191,442493,699095,-1,445583,-1,-1,202388,951495,331830,893497,-1,523812,73620,298440,-1,372024,363072,614001,644497,553538,92731,361093,841485,-1,-1,492176,-1,-1,-1,-1,-1,-1,-1,782356,-1,-1,600149,340902,572267,-1,-1,-1,338126,663057,465046,-1,-1,301458,-1,171283,374305,-1,-1,612778,-1,-1,968370,430421,-1,990546,488829,609832,-1,642604,-1,393791,544961,-1,909008,-1,-1,-1,168705,12354,926148,638896,-1,-1,804705,623326,460760,930646,-1,-1,396433,164721,411276,128222,844942,-1,701870,263127,-1,-1,-1,-1,-1,-1,-1,946459,-1,420148,435808,-1,-1,221428,-1,568521,908595,-1,-1,591713,999032,-1,159995,-1,140186,227265,-1,-1,-1,290356,-1,729076,743593,737523,996977,66262,-1,-1,-1,57116,-1,-1,503676,585159,369725,-1,105659,789183,221246,-1,246655,302339,665449,379852,-1,-1,-1,-1,-1,814026,-1,138954,144710,-1,487137,-1,783592,59027,283234,198077,780095,405015,-1,517174,-1,43465,567543,177434,259666,893210,-1,-1,946893,665452,-1,-1,722088,-1,526492,522287,467400,-1,650336,-1,386192,-1,-1,894903,-1,813270,100091,-1,368364,-1,-1,539605,-1,842784,492684,-1,-1,-1,-1,-1,-1,-1,-1,-1,921295,254177,-1,490872,746818,-1,-1,41334,-1,6714,-1,-1,717528,-1,-1,306729,-1,307292,-1,354584,588044,-1,-1,220341,473615,251576,484948,-1,-1,-1,221351,-1,759369,162046,-1,-1,637216,-1,-1,440643,387948,-1,-1,359622,-1,152033,-1,-1,-1,-1,654476,-1,904111,141454,-1,-1,226327,498273,315478,-1,-1,-1,382113,-1,942247,-1,409035,67246,111391,-1,961758,-1,745686,-1,197058,806972,503234,-1,366636,-1,384225,97705,-1,-1,669363,263590,-1,-1,-1,726965,471718,-1,107529,423726,-1,-1,-1,-1,451328,76026,-1,995260,534946,-1,51357,562584,-1,303591,-1,-1,215818,5534,636799,175547,967911,-1,720046,341608,948499,138245,-1,82299,392255,-1,397125,-1,100301,-1,-1,-1,-1,-1,632930,-1,563426,-1,166439,609079,1345,-1,190413,-1,285591,753937,-1,-1,806051,826640,613726,-1,690934,590585,466518,-1,-1,-1,-1,94252,628481,391413,326171,241619,271900,-1,966456,-1,-1,-1,572931,-1,-1,-1,495308,-1,477792,265244,-1,-1,243727,118659,368110,131820,338392,841180,538061,-1,273867,-1,-1,68081,611669,-1,-1,-1,667729,-1,-1,-1,214834,324282,-1,-1,-1,-1,100821,309928,826271,531242,-1,-1,-1,991986,-1,-1,-1,181874,43221,-1,-1,84614,-1,481894,580855,857124,937566,628318,591089,282469,96242,-1,731824,-1,-1,-1,891472,-1,156787,-1,348259,-1,761531,-1,-1,682544,279226,-1,508359,924514,510496,-1,-1,574609,-1,-1,-1,-1,296186,793821,66796,246270,-1,531505,544296,480047,-1,-1,-1,-1,-1,722502,-1,-1,-1,184194,-1,739273,702410,447562,924962,616780,619956,-1,-1,746952,-1,381532,599543,-1,-1,352126,-1,-1,318483,-1,616615,-1,-1,-1,-1,-1,-1,-1,-1,-1,50262,-1,163807,280031,128994,922475,701482,476257,974563,-1,-1,-1,847123,-1,794522,381549,513053,695442,533028,857405,-1,861736,-1,-1,589618,880165,-1,-1,975505,-1,422865,492588,644573,-1,-1,-1,-1,974507,-1,365279,-1,340541,-1,-1,15089,-1,-1,62999,248736,-1,-1,485288,-1,648527,-1,633577,45892,-1,21071,-1,476557,292203,676978,-1,-1,968823,547430,640733,-1,732458,341483,-1,418242,938717,-1,-1,14987,310671,-1,-1,-1,-1,-1,776385,254519,-1,942422,-1,443841,150359,243217,-1,-1,726259,529890,986866,825333,551523,-1,803130,255997,238948,-1,-1,42268,373553,-1,57950,-1,-1,-1,-1,690831,100225,108152,-1,-1,557780,850434,-1,296231,-1,-1,550935,733734,617247,-1,-1,734005,370958,908059,570233,631833,-1,517698,-1,535665,737337,-1,-1,-1,-1,-1,-1,-1,418425,-1,371495,239262,-1,-1,336615,569988,183548,-1,380922,-1,588266,404632,-1,92676,-1,126659,453289,82864,124881,-1,-1,-1,222219,820016,-1,-1,-1,950434,408398,-1,898569,-1,293404,-1,877462,777450,-1,-1,-1,-1,193693,717943,958264,598756,153761,-1,-1,471198,712700,-1,408067,157910,445245,-1,-1,760053,40947,142900,-1,-1,-1,418344,348802,194259,-1,-1,482509,-1,-1,890632,13734,899151,494930,925681,755880,-1,210593,-1,688162,-1,-1,539887,812979,-1,-1,-1,-1,-1,-1,-1,257095,-1,117276,-1,-1,-1,-1,178235,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,433232,448751,79702,435984,-1,-1,795642,-1,-1,-1,918199,260925,444865,581113,851086,-1,-1,776263,-1,546745,822394,-1,741044,843450,203654,-1,480175,86251,42214,84900,704776,-1,755861,-1,142870,494229,473392,-1,750287,963673,-1,310558,-1,907304,581569,-1,211373,-1,-1,-1,641081,974660,-1,-1,-1,459770,-1,-1,-1,-1,475086,-1,772963,-1,-1,476653,835086,350653,483754,850423,-1,703099,-1,22801,848431,26092,-1,-1,32752,869347,-1,-1,571932,-1,71489,769065,23601,-1,176666,43341,-1,-1,-1,102865,-1,-1,-1,550176,945288,650337,877926,-1,-1,-1,-1,47535,-1,684477,-1,-1,-1,-1,-1,316750,387267,84879,534568,257475,327985,-1,-1,-1,3385,-1,203648,752421,645244,-1,-1,-1,833518,-1,397034,208251,120541,-1,-1,372411,-1,-1,-1,-1,-1,-1,-1,708449,287299,-1,552556,-1,-1,-1,-1,-1,-1,-1,591175,866051,831031,-1,-1,-1,58522,438179,-1,-1,947578,73131,82539,-1,874275,82742,-1,-1,-1,-1,-1,-1,772496,-1,-1,542856,475606,-1,-1,205552,-1,558704,-1,504272,869998,752715,980098,259002,49122,-1,-1,-1,54886,669331,990487,447601,550409,479238,-1,-1,-1,-1,-1,-1,-1,-1,652644,663407,-1,-1,-1,887012,-1,-1,-1,514973,551293,855988,-1,972906,-1,-1,650038,-1,692372,-1,248739,-1,-1,688355,716103,287113,417661,-1,-1,-1,-1,-1,211410,-1,138100,600363,-1,-1,-1,829186,814338,552173,-1,-1,310560,132358,43288,-1,130522,-1,-1,-1,852357,-1,198996,-1,124605,115164,967845,-1,574637,-1,401623,402558,-1,-1,-1,-1,-1,-1,717967,218122,-1,210748,442009,538469,-1,-1,-1,834793,131352,222826,-1,301013,326365,645116,-1,-1,236818,197427,95572,983286,811879,351122,-1,-1,346530,-1,255059,948554,78383,-1,-1,-1,454894,321121,-1,326922,-1,-1,-1,-1,227268,769746,-1,102356,-1,-1,414590,670293,-1,-1,107298,824875,74871,185718,157824,167816,-1,-1,-1,32771,-1,836816,-1,639848,-1,-1,-1,-1,-1,213107,296366,567386,288152,-1,387814,-1,-1,-1,-1,-1,372906,764974,-1,-1,-1,-1,-1,912008,219475,145786,-1,-1,-1,-1,602219,751003,572788,-1,325141,221892,-1,-1,857860,760982,-1,-1,-1,452357,-1,694699,-1,500382,-1,922686,420031,-1,28049,-1,-1,458517,-1,4586,322596,-1,606477,587206,730948,-1,-1,146075,26152,334916,638076,308133,565008,24475,-1,-1,-1,6104,-1,-1,-1,541511,699540,-1,-1,25036,-1,-1,14901,-1,992109,878020,236347,-1,-1,592004,-1,260343,634552,-1,-1,816524,-1,266373,892306,-1,105210,-1,-1,76152,-1,-1,-1,31336,-1,-1,829101,-1,752400,-1,792916,91875,-1,-1,541893,-1,-1,-1,464803,738164,-1,-1,-1,-1,791284,46412,535506,-1,751868,-1,333950,97286,146440,218190,-1,571401,808524,-1,742489,914949,-1,226978,-1,751747,599133,-1,277432,-1,981987,-1,528407,571098,132894,163786,12471,-1,380759,-1,-1,-1,928770,-1,998938,-1,-1,-1,-1,-1,820714,119074,-1,-1,-1,-1,-1,357955,798338,-1,-1,223891,80720,-1,515394,289240,286715,-1,-1,-1,169989,144126,26483,95248,-1,363602,-1,731458,-1,939272,-1,669818,-1,396451,-1,445566,-1,241914,664345,-1,-1,-1,480824,614553,-1,143442,465725,-1,-1,-1,25452,-1,-1,880600,-1,-1,-1,-1,-1,-1,-1,23327,-1,313860,543036,-1,-1,-1,913147,-1,169644,-1,-1,-1,-1,139045,-1,-1,622743,108015,-1,905407,542503,-1,-1,-1,-1,433267,-1,502654,-1,-1,264774,427241,-1,-1,324160,44004,223853,-1,367201,966629,767560,377315,4219,922387,-1,-1,-1,543017,-1,-1,901096,241547,-1,-1,961012,492846,648794,385431,618489,-1,485563,-1,-1,443808,-1,230930,989752,-1,467572,-1,55917,631167,404220,192305,568584,58669,-1,989022,-1,-1,-1,953270,-1,495530,-1,-1,396507,-1,799804,67340,-1,-1,555690,6809,739548,-1,479061,260087,-1,-1,-1,436033,947140,583298,283814,443435,-1,-1,63044,-1,689714,890997,-1,938305,-1,-1,959475,-1,737259,-1,-1,615169,983389,-1,-1,-1,643291,-1,-1,-1,-1,-1,78754,863764,329389,-1,-1,177924,960781,-1,921450,897222,-1,919281,-1,-1,-1,830150,267849,546450,-1,-1,-1,193078,-1,951043,612511,-1,274732,-1,567816,-1,251682,780315,-1,-1,92090,-1,962016,-1,-1,-1,-1,382131,572261,-1,-1,-1,-1,-1,942911,-1,-1,233362,30833,836488,553968,464423,-1,126008,719384,321220,-1,-1,515738,-1,383670,-1,231395,-1,756359,-1,32815,376051,-1,-1,307499,-1,-1,797123,-1,-1,-1,-1,724326,-1,-1,709898,813239,415840,641868,595425,252714,-1,-1,506053,548353,-1,-1,-1,711491,557922,320960,247396,-1,902596,-1,-1,-1,-1,-1,-1,180368,825656,781547,798645,-1,198210,-1,-1,996104,710956,-1,-1,115310,-1,-1,-1,475407,554353,-1,-1,962622,267333,-1,-1,356104,-1,179902,445711,-1,750956,128238,380884,-1,-1,875518,146646,-1,-1,-1,-1,774337,-1,176929,-1,274455,36737,-1,-1,489967,-1,115831,951895,48655,834970,-1,872277,-1,39725,598197,-1,953863,-1,418537,-1,264917,909560,-1,-1,-1,-1,374474,-1,-1,535191,-1,998341,282703,270262,-1,-1,179727,111300,554852,-1,-1,151414,687682,545075,268560,854008,349278,-1,-1,-1,193369,779452,-1,170759,-1,-1,-1,209157,-1,348252,555182,-1,400520,-1,-1,-1,-1,865379,-1,-1,866528,-1,-1,574093,-1,589660,144821,-1,-1,983754,-1,886336,664895,125855,593214,-1,-1,-1,-1,766370,711538,687610,758687,-1,897611,82249,402100,-1,201422,43161,320758,85535,-1,-1,101090,-1,714086,920751,-1,-1,-1,-1,175525,515844,46782,774404,580114,-1,-1,789979,-1,359061,-1,44237,-1,-1,-1,-1,442753,5372,244437,916856,-1,724343,162217,-1,-1,-1,717954,220107,-1,-1,461054,32880,650015,-1,264709,-1,-1,694542,-1,-1,253898,-1,120178,981123,376038,-1,-1,942075,222158,436794,-1,584958,409652,78020,-1,-1,459877,648497,97161,432723,-1,5726,-1,-1,950753,71118,-1,104498,-1,59446,-1,678597,758100,690078,-1,-1,-1,-1,-1,813118,328549,656981,-1,340838,57175,-1,710502,-1,800423,314060,418194,-1,932819,394449,-1,630581,-1,-1,536383,-1,913723,277849,970490,544615,-1,-1,262561,-1,884063,366050,-1,769382,-1,499297,557035,-1,953928,-1,388899,225109,-1,629393,656456,-1,-1,946430,-1,-1,-1,-1,-1,24136,781693,-1,171839,-1,703597,137172,-1,40281,-1,869557,97147,14513,380729,-1,977289,804153,-1,435601,263459,710574,-1,-1,-1,876704,814780,562761,-1,671294,-1,-1,-1,-1,201715,-1,-1,-1,-1,365854,-1,-1,-1,-1,-1,488878,-1,-1,-1,671137,620448,34669,-1,-1,-1,-1,608678,248874,264427,-1,271068,-1,-1,333559,-1,-1,511655,-1,-1,-1,-1,-1,-1,-1,811896,451737,-1,920127,-1,-1,514705,345121,-1,105444,264520,383468,231378,-1,881101,-1,818961,-1,-1,-1,-1,-1,794331,-1,-1,-1,180450,-1,-1,-1,127446,-1,235659,114002,673269,865298,-1,957119,-1,-1,546907,156513,-1,-1,-1,-1,-1,-1,-1,499202,-1,-1,840566,-1,853081,-1,528026,-1,84851,511539,266965,-1,-1,977131,212143,550597,596229,380342,860397,-1,-1,-1,882501,776484,903853,900951,78677,728860,106991,-1,313149,-1,367148,-1,470865,-1,-1,343920,762229,840372,548663,-1,-1,-1,-1,437299,414311,914466,-1,991218,514122,778694,-1,168634,-1,-1,177547,111864,-1,452867,-1,-1,-1,754967,-1,-1,-1,-1,-1,515189,612878,-1,-1,155219,-1,77829,399173,-1,-1,-1,742277,-1,240568,-1,140353,533769,-1,-1,-1,-1,266971,-1,-1,-1,129664,908379,-1,-1,-1,157769,-1,137704,578279,-1,-1,419924,637188,-1,591014,432247,-1,115031,-1,803952,957976,-1,941448,-1,740958,-1,342147,469858,-1,170295,531189,-1,36534,877342,-1,-1,377491,626308,-1,210498,-1,-1,765192,40171,552003,-1,377257,78058,577917,253120,-1,-1,577421,855984,-1,-1,472693,218141,782654,-1,148084,783173,927177,199491,-1,-1,858114,-1,-1,-1,-1,-1,-1,744024,342486,20905,639421,-1,844547,455521,901004,161922,197640,-1,-1,821433,-1,-1,-1,378498,-1,384427,-1,-1,797671,-1,-1,392785,822169,-1,-1,846371,474665,357899,24242,-1,-1,-1,459031,380989,-1,-1,-1,664214,-1,86708,272689,-1,759908,-1,-1,-1,700244,-1,-1,7183,751895,796984,805943,113203,-1,605740,-1,435646,213321,28412,109091,-1,-1,-1,-1,874495,-1,56892,550928,-1,293145,839048,-1,-1,196952,887387,-1,54153,861530,213374,-1,-1,-1,-1,-1,-1,769901,-1,717384,142424,229784,746498,854147,-1,449748,-1,-1,851105,117346,-1,-1,-1,552148,26189,-1,-1,253046,-1,-1,-1,-1,-1,717124,259247,-1,656585,884731,-1,777531,323166,-1,820737,855847,510317,-1,953373,149040,-1,743967,643511,-1,596406,-1,-1,626683,-1,324088,731526,219538,-1,-1,212427,396251,-1,328303,-1,614362,-1,818419,-1,-1,-1,-1,-1,49036,-1,-1,-1,644357,-1,-1,370474,84567,441686,676798,250739,269405,158662,866319,-1,103917,694606,-1,-1,272010,169626,-1,763421,-1,-1,-1,717685,-1,651665,816270,-1,229489,83836,-1,412323,-1,-1,-1,542695,275764,643054,646747,115490,-1,-1,303744,-1,-1,688582,147814,-1,-1,771314,-1,19950,146040,626283,558342,-1,71726,-1,-1,-1,-1,-1,825496,-1,-1,346768,763755,-1,899365,-1,602618,155912,-1,700584,453745,930687,-1,-1,69099,52284,-1,927220,232546,945909,-1,-1,-1,688508,-1,1885,-1,-1,-1,-1,973963,-1,500132,-1,379045,187224,563991,-1,-1,631012,-1,854633,-1,516706,368987,499157,653156,-1,59412,159623,432131,255165,384190,979925,-1,-1,106731,-1,109074,655064,91492,-1,914599,930807,-1,198496,-1,655570,-1,3099,919841,-1,870036,-1,-1,-1,-1,333590,-1,815020,356170,-1,-1,-1,-1,-1,-1,416155,430943,-1,541671,-1,-1,240858,512235,-1,981941,985968,-1,-1,850817,335862,-1,922808,-1,376842,-1,-1,-1,711105,862905,-1,-1,56096,-1,382737,-1,72490,615380,598304,-1,-1,-1,-1,-1,605343,759020,-1,-1,815208,861584,15304,506934,-1,305829,491114,936010,-1,617183,84169,-1,436440,835118,-1,-1,349715,-1,-1,93926,265497,-1,-1,419337,-1,-1,-1,876868,-1,576713,-1,543094,-1,-1,333022,-1,-1,353186,-1,-1,74126,-1,-1,581243,760,529994,-1,-1,-1,-1,251077,-1,-1,175029,-1,-1,-1,429000,609080,-1,-1,-1,-1,857835,629170,217369,606658,-1,-1,-1,125228,663720,438357,426580,140276,312277,-1,854401,-1,-1,-1,576597,-1,549754,-1,953846,110949,-1,-1,118103,383508,-1,-1,838194,-1,241570,666781,628006,-1,-1,54519,-1,744974,913933,-1,517831,-1,-1,282160,-1,534516,-1,536288,878138,-1,950514,-1,209582,-1,310424,-1,189244,-1,-1,-1,-1,-1,-1,775602,-1,-1,-1,892968,809160,-1,-1,-1,-1,-1,-1,520740,-1,732398,403820,-1,-1,132954,-1,-1,332141,108569,-1,-1,-1,630939,-1,526235,-1,235732,638144,180538,-1,-1,-1,-1,-1,-1,-1,610527,899065,618768,294680,-1,686044,-1,244249,277459,-1,752143,-1,394387,177738,-1,-1,393661,841379,-1,890340,579320,-1,-1,98024,8246,13319,514843,-1,-1,-1,157255,487114,-1,-1,330585,-1,-1,675782,-1,-1,-1,715999,439489,-1,-1,-1,-1,-1,709224,417240,-1,568118,199567,-1,1192,-1,987829,796572,-1,-1,-1,-1,-1,815697,-1,747575,-1,-1,-1,-1,873717,-1,288917,9120,141569,-1,-1,355552,-1,-1,599179,-1,487726,-1,-1,374607,-1,-1,860750,-1,-1,24389,756326,752214,-1,527134,-1,-1,533690,203358,-1,-1,58650,-1,-1,-1,-1,225346,-1,776591,584976,-1,413354,158037,889469,-1,-1,698917,581056,-1,-1,-1,439715,496862,319512,851397,-1,637394,571947,-1,-1,83520,982761,-1,40254,-1,-1,-1,-1,-1,-1,534087,-1,445361,-1,418166,-1,764876,845,-1,41511,-1,-1,987264,71984,-1,911091,171358,366761,116890,-1,79916,111208,574664,275128,425711,422378,943240,177165,-1,-1,575148,-1,-1,-1,-1,19392,-1,-1,570815,425250,980334,789132,803119,-1,-1,-1,-1,155298,748294,811324,258460,678791,-1,127293,-1,-1,-1,-1,-1,370815,375992,201863,665076,821582,-1,-1,-1,-1,-1,216346,-1,-1,-1,741487,-1,-1,-1,995210,125817,679277,-1,847892,-1,-1,381745,459383,316860,329804,127579,856881,-1,532052,-1,-1,-1,832778,549749,-1,-1,360493,-1,-1,998718,652894,-1,372292,-1,887637,-1,-1,-1,473930,611951,-1,-1,-1,809006,-1,-1,968,220672,-1,870553,952891,-1,315719,-1,-1,-1,-1,32764,618207,632704,-1,330324,570791,-1,-1,-1,-1,965352,985506,240264,-1,-1,-1,957239,523462,563297,860239,216115,376963,709925,-1,-1,-1,851662,-1,804293,-1,-1,-1,29265,792520,-1,-1,-1,-1,-1,501915,378149,-1,-1,399339,159927,190139,983485,-1,-1,-1,-1,-1,-1,345482,-1,628234,78530,215674,-1,145448,494353,665428,-1,-1,788108,-1,-1,-1,-1,-1,933289,98023,-1,-1,659376,-1,-1,488038,-1,569002,-1,-1,445721,-1,-1,411853,-1,-1,-1,-1,-1,-1,106392,819817,642225,-1,-1,619263,-1,170961,316611,444318,392836,52924,856307,8908,-1,-1,-1,306643,342457,-1,-1,343263,375455,759287,-1,516211,-1,-1,584031,633384,885257,612490,605173,650604,527109,-1,508720,-1,-1,-1,610865,925438,-1,-1,735655,-1,529849,965557,331029,-1,-1,-1,-1,-1,-1,559137,12029,-1,-1,476848,-1,21230,655637,440860,598520,-1,-1,-1,-1,532288,757885,-1,185558,413872,-1,749568,846912,-1,323550,939593,-1,-1,-1,140293,141530,-1,162735,-1,-1,-1,161856,357450,239954,14937,884116,-1,778772,-1,893845,-1,-1,-1,-1,27065,-1,-1,-1,-1,704547,-1,342972,998296,818177,541418,-1,-1,479884,-1,459802,-1,853583,828970,-1,899952,555860,529243,-1,-1,230473,-1,-1,148367,634468,413012,-1,119493,450155,-1,-1,-1,332959,406178,-1,142871,513989,-1,166510,-1,-1,-1,510129,496905,-1,614062,914660,141460,-1,36768,-1,-1,932254,890799,108476,-1,-1,-1,871215,638691,302577,478898,-1,-1,178504,683878,961855,-1,-1,226204,657439,-1,628031,338010,-1,-1,-1,-1,-1,-1,451719,-1,507767,-1,-1,122370,690927,938381,-1,-1,978480,-1,501786,698229,15965,488281,-1,759832,-1,-1,908623,-1,421972,-1,5088,-1,10707,51097,599438,-1,-1,660563,-1,-1,610632,-1,-1,-1,695641,-1,167905,544139,939236,5354,-1,466201,-1,825292,739829,236815,-1,762235,325537,498428,456755,-1,533398,-1,-1,322812,106809,932637,-1,489416,516402,-1,-1,773265,871829,952042,-1,912608,46195,946022,-1,-1,29617,-1,-1,817281,-1,617641,100780,-1,579505,-1,-1,-1,555693,-1,543021,726645,-1,556487,-1,-1,-1,-1,709221,131742,-1,726932,718548,-1,-1,-1,-1,224912,328360,444934,-1,940439,265149,-1,392062,39741,-1,155696,-1,890693,-1,-1,852857,578862,970583,393634,935487,-1,-1,654837,-1,306912,-1,355439,301041,30067,974919,574244,-1,769085,-1,292050,-1,113812,405225,105875,-1,388868,122812,238876,785994,161386,363447,-1,-1,-1,-1,58580,-1,662000,160004,397521,-1,-1,479898,-1,-1,234019,-1,-1,699649,223723,-1,807366,573055,861408,-1,208845,153919,479856,-1,948651,23760,370866,121801,624913,491478,714034,441196,115309,-1,920893,609409,42220,-1,-1,-1,-1,-1,922130,637711,-1,982663,551082,80878,-1,-1,295745,-1,46507,-1,-1,-1,-1,-1,573888,-1,-1,236479,-1,625002,-1,-1,644517,104319,724648,298912,640175,49991,-1,833126,571471,481813,308654,632125,-1,-1,-1,936818,205577,-1,200102,259538,212599,-1,-1,418971,-1,987548,-1,150872,-1,511571,-1,-1,831289,987551,253092,-1,-1,-1,979524,-1,-1,-1,-1,-1,-1,-1,811228,119653,662063,4501,623775,-1,-1,-1,601414,-1,359557,-1,-1,358936,-1,409371,451902,928113,-1,165568,-1,-1,542664,846977,848757,993432,-1,-1,358638,578091,437348,282975,671962,-1,505224,-1,774226,621703,-1,363194,536318,465711,535517,674590,-1,-1,811362,811440,164641,203062,135839,83835,-1,-1,-1,272368,-1,12020,-1,299242,-1,-1,902472,-1,-1,-1,378216,731086,-1,553183,500491,18175,-1,938883,831565,947762,-1,-1,-1,-1,-1,-1,-1,367788,-1,306344,-1,724137,-1,-1,-1,313504,299559,-1,-1,596393,57706,370711,-1,364862,955883,-1,-1,958316,-1,-1,-1,650513,538916,395285,-1,-1,-1,479516,303573,-1,-1,-1,417201,777668,-1,488343,245199,-1,-1,43035,-1,119853,-1,322382,-1,435581,173660,96504,-1,-1,257513,584260,480865,231492,-1,571569,-1,340642,-1,199049,556802,-1,623193,-1,-1,-1,-1,224008,-1,-1,863455,-1,340654,924921,-1,508631,514066,262315,105355,-1,-1,820955,-1,119942,-1,-1,-1,90299,-1,-1,-1,847200,821424,920928,420703,534353,433873,677414,166255,595806,741477,290878,986453,538513,187921,-1,172240,892376,415536,-1,832189,873508,602629,137755,-1,-1,212604,-1,451189,689169,-1,-1,548894,-1,-1,49757,604096,136841,-1,805545,-1,190921,-1,428980,-1,-1,180155,156382,854829,654161,517321,887018,535942,-1,-1,464105,34374,-1,-1,958726,-1,328953,-1,-1,-1,709875,420648,-1,510769,-1,65771,-1,-1,-1,-1,-1,626911,115021,-1,-1,-1,210612,842678,313998,-1,-1,756607,161417,-1,668095,-1,-1,87377,830081,-1,-1,-1,601846,-1,44380,582490,83092,224452,-1,786751,771857,704058,188234,540574,866412,-1,-1,458609,-1,-1,-1,-1,273160,-1,-1,-1,-1,-1,963073,-1,-1,622528,799759,-1,474904,-1,438483,-1,475370,698440,-1,916394,125870,-1,678015,453372,324375,557319,602560,-1,-1,103974,398209,-1,-1,-1,-1,464720,84082,383131,82715,201827,-1,-1,19106,-1,-1,146549,-1,-1,682023,-1,-1,391570,828757,454794,269812,-1,-1,888200,-1,-1,183150,-1,-1,775988,-1,-1,-1,771431,-1,959832,-1,-1,-1,501640,169577,-1,-1,205026,83269,834284,105566,796568,-1,141815,830640,485423,-1,843733,-1,106867,-1,920730,916194,791989,837390,638620,-1,8445,-1,613910,-1,-1,-1,-1,69682,-1,-1,-1,415053,770517,-1,801311,725722,-1,405920,961260,519925,-1,384513,753345,-1,-1,771060,558930,616232,263245,-1,-1,372294,216438,-1,-1,358775,-1,-1,-1,8523,-1,-1,334987,-1,-1,474964,-1,947720,306893,319032,-1,283470,299690,204517,330537,-1,-1,-1,462342,432515,937439,-1,913153,-1,808496,-1,-1,488177,759195,-1,-1,-1,-1,823528,298716,-1,-1,436409,181506,-1,-1,366748,365797,-1,948855,83599,842176,-1,-1,-1,-1,919740,-1,-1,-1,-1,-1,-1,-1,-1,724620,495542,-1,690932,904047,986586,459782,225038,299729,-1,-1,770875,-1,-1,687623,214411,851824,811454,-1,195971,-1,822938,-1,-1,958156,515336,767803,-1,278255,-1,267681,534055,-1,562157,-1,-1,897842,-1,589785,-1,-1,798853,-1,747549,-1,114720,-1,-1,145613,151252,644493,-1,-1,-1,4103,594675,-1,-1,-1,-1,337857,269489,-1,-1,-1,-1,-1,921660,118125,515953,682124,230162,733406,-1,841567,-1,-1,-1,-1,-1,-1,-1,147122,-1,-1,363481,907872,-1,302742,547780,25731,-1,806354,983265,-1,639332,-1,-1,-1,219491,790698,-1,133914,363714,-1,765804,-1,836800,880775,-1,944231,-1,358358,-1,-1,-1,-1,80173,-1,-1,-1,-1,84970,5403,-1,424285,-1,419103,432806,-1,-1,-1,644212,-1,88461,-1,858665,-1,-1,504219,-1,-1,544837,564895,-1,-1,-1,-1,930235,101219,584951,-1,-1,203258,-1,-1,164381,127200,-1,830391,117648,-1,359618,-1,104771,423767,491049,-1,-1,953041,-1,-1,858841,65701,222116,14149,288766,-1,-1,193247,797906,-1,510706,-1,185686,819892,188287,-1,-1,941459,-1,-1,630616,50272,-1,-1,-1,-1,398157,453691,54589,412389,-1,-1,-1,-1,-1,821439,-1,-1,516093,-1,-1,331494,-1,78639,-1,-1,289269,822509,111475,-1,-1,373970,557006,-1,627403,-1,109361,3865,-1,150725,-1,-1,375825,849396,-1,80476,-1,642186,-1,-1,-1,-1,-1,-1,-1,-1,-1,970376,899851,931337,461861,532533,-1,-1,657452,619846,-1,-1,114159,-1,-1,270514,201427,-1,-1,716721,424742,866339,181912,-1,-1,859696,269761,157569,-1,-1,-1,-1,172619,-1,561038,778337,-1,-1,-1,59908,-1,427959,475413,-1,-1,-1,-1,684929,-1,206856,451661,-1,202711,95356,709155,27930,-1,-1,542577,464472,466932,-1,-1,709714,-1,-1,307811,-1,-1,-1,947586,252694,-1,-1,348579,-1,888502,800487,-1,-1,595305,772155,847554,-1,292494,500743,-1,-1,-1,-1,-1,-1,-1,-1,-1,925849,-1,164660,-1,-1,-1,-1,314965,-1,-1,-1,787103,-1,-1,-1,595218,-1,-1,322091,-1,707885,837436,-1,499654,982849,868764,-1,-1,26408,-1,-1,994234,926308,299349,-1,950978,709277,229295,-1,661511,535177,605180,195769,632399,212276,-1,-1,-1,862321,-1,-1,-1,217136,347667,-1,717748,-1,593355,10589,-1,539036,589502,272561,552465,-1,-1,-1,-1,-1,-1,20133,741392,771232,-1,455693,494082,385127,85478,-1,691916,-1,963145,834850,447856,905623,1743,-1,389179,370468,-1,259270,-1,441656,533489,874294,298894,-1,525559,-1,-1,380590,-1,-1,-1,371552,322284,434840,957878,412616,-1,941883,-1,647411,427728,280010,-1,799650,760805,273364,-1,-1,-1,542937,-1,296742,-1,-1,270411,-1,-1,502030,416612,54075,544257,-1,437753,161833,-1,-1,-1,-1,646383,807513,-1,679358,627616,1778,139175,-1,-1,-1,-1,747769,981125,-1,450463,706813,845738,606268,882860,600527,-1,289146,665832,-1,266072,426837,92786,-1,838139,716801,619318,883485,-1,-1,530547,601496,11531,283281,-1,64561,-1,-1,-1,-1,-1,253309,-1,-1,347600,961902,173096,166859,676019,271110,367705,-1,854469,-1,-1,-1,-1,-1,928255,-1,420838,16417,-1,828622,498416,461882,932053,-1,-1,-1,-1,-1,406247,783092,751861,147300,96482,-1,-1,-1,-1,-1,-1,740510,39514,-1,560488,738134,-1,-1,-1,-1,267183,-1,-1,-1,-1,-1,-1,16135,-1,-1,580550,280254,-1,-1,-1,918522,-1,-1,-1,841059,-1,454434,778692,-1,703827,-1,115647,555090,-1,-1,-1,479973,529982,-1,884312,-1,-1,891387,-1,-1,156650,-1,770637,-1,-1,-1,72014,470677,-1,331638,-1,417835,-1,-1,346775,-1,-1,329245,882909,-1,377185,-1,-1,-1,794551,-1,-1,138302,-1,-1,-1,133562,861547,-1,296801,6943,486027,-1,653744,272225,883465,504960,458745,344570,-1,802946,-1,307318,742521,147477,-1,690254,-1,-1,779236,367485,888326,201528,-1,94674,868850,925138,513733,398546,-1,-1,543544,-1,682945,628319,-1,30364,956851,986088,524406,-1,-1,324147,-1,-1,721345,-1,42488,-1,-1,617292,-1,-1,95567,-1,-1,468162,710575,302549,678311,680344,978927,-1,630568,107180,482645,-1,-1,-1,715961,-1,-1,-1,-1,-1,302072,322320,772880,536328,-1,-1,427276,964020,-1,915560,-1,-1,671943,-1,-1,525912,206327,685923,-1,-1,-1,-1,259913,121416,-1,573042,252522,-1,491590,712970,590711,-1,-1,-1,-1,973612,-1,270629,573353,-1,-1,865236,-1,972057,-1,-1,817632,320778,447974,-1,-1,533563,-1,771530,-1,349090,-1,-1,979111,-1,203037,-1,293835,615879,-1,78050,662407,-1,460314,-1,462987,169103,274404,345774,-1,-1,33508,-1,-1,358899,791331,-1,64709,-1,7171,278462,-1,687916,480248,6931,564003,-1,390073,919362,799995,-1,-1,-1,16137,-1,-1,-1,-1,-1,35095,4710,-1,-1,-1,785364,639689,527140,-1,823145,456610,833053,-1,-1,-1,-1,-1,683626,-1,753609,184360,742671,-1,-1,-1,-1,-1,803814,-1,271558,-1,562189,-1,503249,-1,-1,-1,316092,864230,917857,591466,-1,257810,905411,-1,-1,691527,847680,-1,-1,140464,-1,927928,113446,-1,-1,765622,720209,-1,-1,-1,-1,-1,-1,-1,248477,-1,765725,-1,-1,-1,785101,784125,934725,-1,-1,401168,911304,254558,-1,-1,201873,764897,609148,922497,-1,-1,-1,-1,-1,-1,732201,416249,545654,-1,826016,901975,319296,-1,347369,-1,173114,660456,298703,368026,-1,637572,603652,557043,758943,670296,359142,930311,-1,-1,-1,360143,-1,734492,567270,-1,-1,-1,742782,-1,-1,599405,263505,318271,-1,-1,-1,621552,189989,495502,-1,-1,-1,-1,424797,483103,311954,-1,-1,-1,146695,-1,726175,908520,-1,-1,-1,-1,846725,613818,-1,664450,-1,630170,-1,177135,819776,-1,444100,551885,-1,-1,170143,-1,-1,901999,312952,-1,-1,194629,-1,457677,-1,-1,-1,-1,-1,244645,562685,-1,-1,-1,-1,-1,37927,26519,-1,-1,618139,48176,-1,-1,-1,850028,985604,583414,-1,368430,-1,-1,-1,473272,-1,615211,-1,60150,656479,-1,-1,-1,340886,-1,-1,-1,538591,-1,472776,-1,232396,920604,129716,-1,-1,665716,245282,988769,-1,-1,930794,809009,280802,200435,-1,-1,488407,-1,862744,-1,-1,594050,748611,-1,168328,137862,-1,-1,200141,176296,589761,-1,121546,-1,857895,520142,-1,72767,411261,104785,473055,132184,-1,-1,-1,-1,462418,-1,929729,-1,-1,-1,912841,-1,-1,-1,44908,-1,498172,113012,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,45813,-1,-1,305271,-1,100387,995035,-1,-1,-1,834274,-1,700333,-1,-1,537406,-1,-1,-1,-1,107097,250690,-1,723983,724029,816021,-1,-1,-1,815393,497744,-1,-1,-1,99583,383180,574789,793797,645653,-1,807705,-1,445074,-1,-1,-1,-1,-1,667242,-1,-1,-1,478337,-1,-1,251103,355427,957108,941591,194430,866608,-1,-1,-1,-1,-1,-1,847261,-1,-1,-1,922438,679419,-1,510233,-1,89043,214457,-1,-1,651839,-1,-1,-1,96321,315935,578848,-1,51354,919445,485633,753733,444405,677616,-1,184655,-1,-1,244135,-1,891183,621021,-1,629701,897906,-1,-1,728212,-1,-1,-1,144035,779326,-1,647657,-1,937013,11268,-1,-1,-1,89985,-1,869089,-1,363473,-1,402729,601412,334054,442507,986252,852478,-1,575703,653513,686162,-1,847777,-1,92139,546064,-1,346628,-1,-1,-1,993325,-1,22765,10943,179596,-1,511832,-1,816852,146792,-1,744326,-1,212336,250805,-1,630550,134709,-1,-1,484998,-1,604954,-1,-1,521077,97327,-1,261101,-1,729757,-1,846927,924271,-1,-1,393744,707362,481790,-1,464331,-1,-1,-1,884029,391286,13837,-1,-1,823160,-1,273374,606886,-1,-1,-1,-1,104738,-1,-1,315406,640507,825489,25636,991205,267084,758537,623237,166237,877131,198682,570436,-1,89174,247644,-1,-1,-1,345172,-1,923582,-1,-1,527976,-1,-1,728807,-1,285086,-1,604830,724775,960570,982609,757308,-1,137419,100212,-1,-1,983394,237494,-1,926048,80269,-1,-1,80013,166045,-1,-1,791668,-1,-1,642288,-1,-1,485831,516157,875760,307609,393323,-1,294394,-1,-1,896929,-1,969069,702327,73380,-1,802690,511894,-1,310050,589579,-1,-1,685364,906694,647636,407225,-1,-1,-1,904362,-1,-1,145931,-1,-1,750728,542863,-1,-1,-1,-1,743968,209360,-1,-1,251104,-1,492490,-1,-1,718082,59071,-1,-1,50866,-1,722054,-1,-1,-1,-1,168983,485761,-1,-1,-1,-1,-1,946184,-1,551193,240606,289406,841011,807486,24039,867387,614044,-1,209042,446525,6562,980383,-1,-1,-1,-1,-1,-1,-1,567957,-1,-1,-1,880366,-1,246332,-1,76203,556231,242641,-1,-1,211877,-1,-1,-1,362865,-1,794989,119087,-1,-1,-1,-1,106524,636598,313297,500338,569471,-1,854762,339680,-1,-1,672403,-1,-1,-1,-1,135156,132462,349553,851981,-1,-1,-1,42352,-1,-1,-1,-1,-1,83035,-1,-1,982052,-1,-1,-1,-1,-1,850123,-1,-1,483718,-1,-1,798440,398795,-1,-1,-1,-1,317030,-1,-1,-1,951137,-1,703966,517429,255073,-1,362337,-1,8390,-1,-1,83214,-1,-1,-1,-1,-1,-1,-1,55832,165993,987961,-1,209341,111132,810900,-1,-1,793983,-1,697255,-1,-1,233624,-1,-1,141546,255732,-1,511563,-1,549980,-1,141943,-1,450075,-1,-1,-1,192241,-1,100067,-1,-1,175868,398689,168470,-1,-1,-1,664941,-1,-1,-1,-1,-1,151906,854166,-1,-1,587855,-1,535268,635050,-1,641398,365124,153917,143787,171703,196836,41770,721406,-1,-1,-1,-1,-1,-1,434698,911953,693685,-1,-1,-1,728021,536040,-1,540695,250680,-1,-1,-1,863614,499455,-1,-1,-1,-1,-1,595194,610016,250987,983572,908196,818284,-1,54842,76564,-1,-1,-1,-1,482450,-1,-1,739945,-1,-1,439083,-1,-1,337546,-1,-1,18346,-1,86273,-1,227738,-1,988928,-1,275628,964342,81196,-1,422623,369539,470647,253242,724141,-1,-1,-1,476574,981022,-1,-1,-1,852448,-1,-1,318618,304769,-1,-1,-1,-1,-1,645456,181613,-1,-1,-1,-1,258037,709828,-1,-1,-1,-1,231685,97759,-1,-1,-1,147647,660885,-1,12060,90736,976628,-1,-1,-1,243479,-1,641932,-1,-1,-1,-1,-1,679698,60559,-1,-1,139387,542034,-1,-1,460379,829788,-1,114407,777060,-1,850574,-1,329448,-1,-1,48264,-1,819409,896517,-1,817112,-1,-1,135042,26497,-1,853644,-1,-1,-1,392996,-1,310693,861336,-1,963940,-1,-1,932673,261053,-1,836049,438120,682475,-1,-1,798015,-1,-1,797546,445177,-1,-1,-1,-1,-1,928667,-1,482585,743695,231966,-1,-1,-1,266926,-1,738403,-1,-1,-1,-1,-1,-1,163057,404904,-1,613798,-1,25178,998319,111082,-1,904852,349149,-1,-1,836494,-1,-1,-1,116114,869046,-1,-1,-1,152927,839004,-1,129597,-1,11344,141381,-1,469804,-1,894088,-1,-1,697143,237437,-1,562640,-1,-1,785161,479336,931525,-1,918513,145700,58554,800391,952484,-1,-1,-1,589510,308405,589772,-1,-1,833754,-1,111100,-1,714893,196829,439251,-1,-1,-1,-1,-1,819278,-1,143026,746026,286006,-1,-1,-1,-1,291227,204560,-1,-1,-1,-1,822570,424456,616511,369447,-1,-1,6086,-1,998916,-1,-1,-1,317724,920078,-1,172980,-1,176779,557687,297640,-1,-1,908000,420456,660902,569127,-1,748924,971793,721618,998287,-1,-1,-1,27665,940165,591780,881849,239663,326835,799146,442408,-1,193549,-1,397839,-1,780942,308681,-1,954321,938239,269237,611850,-1,317210,-1,424505,-1,862807,843152,-1,-1,929227,534755,843745,-1,-1,-1,-1,222933,-1,777293,-1,-1,440592,557622,771062,-1,-1,704408,-1,-1,-1,367349,-1,-1,-1,-1,-1,113607,-1,-1,673095,-1,-1,-1,945504,673132,471631,332069,375352,849512,700969,-1,-1,-1,-1,430449,-1,295708,590030,706481,32303,-1,-1,718025,168186,261244,882304,721724,-1,789565,-1,414667,50351,-1,-1,-1,605267,-1,-1,597856,-1,554633,-1,-1,711208,-1,36833,-1,704020,-1,958149,153797,-1,224281,-1,377571,-1,-1,-1,552605,-1,-1,-1,927865,844442,-1,644904,-1,454500,-1,-1,752577,367957,556520,-1,856675,136689,-1,-1,-1,-1,-1,-1,985618,952554,-1,622910,-1,-1,936577,-1,-1,-1,-1,478030,-1,-1,-1,236678,495166,-1,-1,-1,-1,-1,600994,685640,-1,-1,602857,-1,530244,-1,-1,833616,801228,-1,-1,454824,-1,286988,673273,488552,983976,-1,-1,642236,354556,-1,27247,616076,643988,883657,863940,-1,-1,-1,501805,-1,-1,-1,271783,954896,-1,202006,-1,-1,-1,-1,-1,636022,875367,729585,-1,918778,-1,398850,744165,371958,-1,265766,205924,-1,-1,-1,763305,-1,896134,651459,-1,847936,-1,90693,881674,238384,808328,518430,754706,-1,374858,434223,113641,683971,825555,993392,91963,17292,414437,-1,299762,-1,743626,996938,-1,789910,-1,629502,295573,190970,-1,447699,702150,899307,925557,-1,-1,969284,-1,-1,-1,859451,25855,-1,417243,322174,876118,159840,-1,868745,564069,52902,-1,300492,25310,-1,582774,397303,150721,698557,-1,130512,-1,626110,-1,626101,153791,709391,404812,-1,906095,613940,872190,36459,605505,-1,-1,-1,-1,-1,55345,655431,-1,-1,-1,373050,-1,-1,-1,-1,-1,-1,-1,-1,-1,300114,460020,-1,-1,674104,-1,913011,843862,300068,-1,-1,-1,-1,-1,-1,550226,-1,-1,-1,806480,549442,294653,812232,464250,16811,-1,-1,-1,-1,66618,-1,-1,303111,492128,774029,635762,393438,-1,574697,839609,798422,716933,610638,-1,850180,-1,-1,618251,476761,455031,-1,-1,-1,773236,81988,576387,-1,831363,-1,332860,-1,-1,-1,-1,763967,635071,760773,-1,-1,831746,441667,229191,-1,651889,839051,-1,-1,386347,-1,-1,892781,401591,578507,-1,194900,-1,-1,-1,-1,-1,440226,-1,-1,444118,549463,-1,217660,-1,244032,5560,-1,-1,22842,933182,859045,-1,-1,-1,827006,-1,984596,-1,-1,493787,428104,626812,-1,942565,415507,-1,-1,537472,-1,-1,534457,-1,-1,88332,4894,-1,-1,-1,36463,-1,-1,814429,418666,251230,63926,511866,439351,857290,-1,54293,-1,420251,-1,-1,-1,-1,-1,55101,-1,804895,-1,419737,-1,-1,-1,-1,734819,-1,290490,-1,65272,-1,-1,205396,-1,-1,-1,203897,37458,-1,-1,-1,-1,-1,69125,-1,-1,-1,-1,-1,776167,627244,-1,64704,289191,-1,901955,552359,689863,-1,-1,-1,878713,509238,309152,-1,-1,473275,-1,950280,401037,-1,-1,261882,982979,-1,848587,129276,117298,829899,-1,-1,-1,-1,-1,-1,967711,-1,484762,437548,928669,885898,-1,640261,363310,67179,-1,592595,-1,-1,901245,-1,-1,-1,-1,-1,864324,727370,966157,-1,-1,521270,535634,599074,845945,335832,-1,368619,836165,830141,-1,-1,-1,-1,328532,-1,-1,-1,-1,269261,218702,-1,-1,-1,818441,-1,-1,-1,500597,387044,-1,739447,-1,246926,23702,444027,502471,-1,588841,-1,-1,172116,-1,-1,-1,959677,-1,674214,-1,-1,390100,412062,-1,190210,-1,615012,-1,769366,-1,358976,-1,987364,928362,-1,-1,-1,-1,657548,314817,-1,930175,-1,539593,977502,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,171952,567339,580588,-1,-1,-1,977451,-1,665577,-1,-1,-1,992796,176996,-1,557545,250310,763644,-1,637878,558563,954665,766157,-1,-1,-1,-1,-1,134739,470211,-1,809642,258174,-1,-1,-1,-1,236939,138381,976784,792510,498643,811173,-1,874231,-1,245840,969975,61285,748535,196462,638284,471215,-1,-1,-1,-1,-1,601027,-1,-1,-1,-1,-1,465824,956273,961194,-1,-1,908316,197667,-1,278207,-1,755449,129851,-1,-1,880806,-1,968232,796640,249795,-1,-1,667908,-1,590317,-1,-1,161786,-1,-1,906754,681012,730204,543880,558721,-1,-1,-1,69075,-1,539555,-1,971645,-1,-1,-1,-1,919585,684923,864919,637097,-1,-1,706578,111071,417106,329396,-1,601348,-1,-1,15225,157949,-1,767769,-1,767046,328087,868438,641624,35169,-1,561827,-1,427217,490315,-1,-1,599140,487406,-1,309059,919511,-1,-1,754910,-1,-1,-1,715043,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,895255,660195,885675,903245,-1,262545,-1,-1,-1,997218,-1,664177,435335,491986,804039,-1,578720,797889,368981,-1,62083,351629,-1,591511,965382,586236,-1,-1,-1,-1,-1,-1,-1,935858,680,-1,244009,-1,166128,447735,-1,107113,-1,261091,368725,436217,724039,-1,-1,-1,114282,-1,-1,147665,157056,-1,855939,-1,764843,-1,165524,-1,419115,-1,273541,692969,288771,-1,937251,436778,-1,-1,-1,658242,40660,761000,-1,29044,-1,-1,-1,-1,-1,293781,-1,-1,-1,-1,-1,264765,596269,844376,-1,-1,-1,-1,16797,-1,-1,-1,-1,546974,102480,-1,-1,813419,756247,-1,-1,-1,-1,236780,231692,643432,91180,832032,597297,9235,-1,-1,-1,513533,-1,-1,426571,-1,113875,969398,-1,-1,-1,423337,722437,485194,-1,-1,-1,96776,-1,880844,184432,653253,-1,-1,-1,-1,-1,800049,125227,-1,52566,-1,539882,-1,-1,-1,606056,503667,-1,725847,416602,-1,187815,105254,704525,571264,-1,-1,-1,79666,286368,253171,-1,-1,-1,992178,-1,-1,-1,-1,202617,-1,-1,857248,374350,-1,342712,114590,970033,-1,-1,214559,394259,-1,-1,134073,163188,-1,99849,-1,-1,773185,105926,258466,988506,-1,-1,-1,-1,431583,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,497751,809701,332853,449612,46892,49489,268477,587798,-1,-1,-1,-1,945766,15960,55600,188336,-1,-1,-1,-1,-1,-1,-1,514926,-1,834694,-1,-1,-1,-1,-1,756167,108336,885207,381069,718431,320548,447789,982937,336225,-1,328624,581245,-1,-1,562825,-1,738256,4488,-1,-1,76891,-1,-1,-1,182805,-1,805858,-1,-1,-1,764796,334919,551534,-1,175275,908003,-1,-1,-1,126633,129439,-1,-1,-1,-1,-1,-1,630735,-1,-1,-1,79273,-1,806947,-1,676411,-1,-1,-1,166189,-1,-1,719775,955670,146550,-1,719523,875608,483954,-1,268641,296211,695180,774151,-1,56944,-1,739123,49678,752126,-1,-1,-1,-1,880319,-1,511557,502115,763151,-1,-1,211083,-1,420727,829820,860014,364555,600992,-1,-1,845761,-1,-1,489961,-1,-1,443432,825914,717276,-1,323416,-1,-1,-1,602095,66573,-1,-1,391768,-1,11356,876980,104673,-1,-1,377856,-1,-1,746535,32270,553027,-1,-1,-1,-1,-1,318809,-1,915757,-1,-1,-1,290863,-1,-1,-1,409656,381818,-1,369384,68598,-1,307302,858181,-1,-1,302891,-1,-1,-1,-1,-1,-1,-1,284204,59705,551332,-1,345128,-1,-1,67041,-1,-1,-1,940025,-1,-1,564966,384718,-1,-1,334444,-1,185164,-1,98529,17396,-1,334682,332064,680971,783116,183495,-1,-1,60873,849437,-1,-1,619337,909218,-1,421691,-1,804172,-1,300848,865228,977452,-1,-1,161056,940304,-1,-1,338827,-1,-1,107421,117873,-1,616841,-1,-1,-1,-1,807062,-1,-1,589511,3118,-1,-1,34209,-1,-1,-1,-1,426620,-1,-1,-1,857940,157606,206219,-1,-1,356035,-1,-1,527481,-1,125404,-1,-1,-1,-1,234988,4347,-1,938046,303969,670755,-1,550537,49797,-1,806308,-1,901763,-1,-1,277740,-1,501771,782157,75230,991450,-1,-1,-1,-1,70677,533939,-1,-1,831904,316122,-1,735161,657613,-1,-1,270424,-1,587137,-1,-1,198797,119706,-1,-1,434774,-1,830738,889888,579031,468543,-1,-1,-1,-1,861340,289115,36300,-1,-1,445627,-1,-1,-1,187457,-1,-1,-1,330467,658515,-1,387613,-1,203632,884198,898402,700347,-1,-1,-1,-1,-1,-1,355209,-1,564376,-1,291310,607927,945597,-1,632943,-1,394754,556488,395474,265710,719268,-1,144783,-1,605583,-1,833743,545703,-1,-1,-1,-1,824243,152582,-1,920161,-1,299807,-1,-1,306575,232448,500704,749662,-1,497471,463477,-1,-1,773221,-1,295819,-1,672516,-1,786603,560409,-1,202504,332949,237638,123631,127132,67835,-1,-1,257445,-1,296991,111333,879773,-1,-1,-1,-1,-1,-1,-1,433331,-1,898496,-1,-1,-1,-1,-1,-1,942527,-1,-1,712744,672198,481317,-1,-1,-1,-1,36933,-1,337848,748117,-1,87368,776311,-1,-1,904561,654067,538563,48464,897635,-1,-1,-1,-1,468558,-1,-1,73199,-1,61895,908782,769694,655332,597524,240591,-1,-1,734825,303717,-1,-1,-1,-1,-1,354179,181683,125544,195727,186879,163508,664991,303461,-1,-1,274141,412234,-1,509938,-1,615732,36706,-1,217896,310881,-1,341001,232456,-1,-1,-1,570202,395420,894375,-1,43596,-1,224485,232192,-1,719778,76835,-1,358002,-1,-1,-1,-1,69961,449731,723645,-1,389671,134662,427025,813948,138195,-1,-1,907828,-1,-1,-1,-1,263470,888551,-1,-1,448331,-1,-1,-1,-1,-1,9072,-1,-1,-1,800410,-1,319478,-1,-1,333935,-1,-1,319189,360824,-1,-1,670384,-1,614489,-1,132710,248676,357616,-1,-1,-1,18654,225999,376150,7606,-1,669593,907830,391723,-1,-1,-1,714452,935178,680815,731719,-1,-1,941366,704756,892378,905028,-1,664088,827997,-1,-1,-1,-1,424391,-1,743936,412958,-1,846359,-1,-1,-1,-1,-1,-1,-1,715994,598035,63113,-1,-1,-1,901686,-1,-1,-1,392033,840151,940615,-1,46062,32229,-1,512666,575759,814204,999631,862680,137792,-1,91344,349934,-1,855166,385993,-1,-1,-1,-1,-1,-1,-1,41045,-1,-1,-1,184269,596980,216422,29778,-1,-1,-1,124926,-1,472334,-1,-1,-1,-1,-1,291482,-1,-1,-1,-1,-1,100081,-1,929196,896010,256491,-1,569963,623543,951451,-1,-1,900375,447923,774289,856596,-1,-1,383576,804236,940370,-1,995033,407171,-1,843013,432650,9863,-1,-1,-1,-1,707975,-1,853372,-1,-1,745290,878522,-1,-1,-1,-1,56817,906038,271402,801908,685591,-1,-1,914583,-1,612276,-1,-1,-1,414614,420875,862790,594548,184737,-1,289036,-1,128813,755062,61134,-1,-1,-1,-1,-1,198148,-1,881491,943732,-1,558209,-1,-1,-1,-1,277602,-1,-1,507508,13261,-1,712295,401648,-1,249217,-1,337488,-1,-1,561621,86556,-1,-1,921214,379731,372837,-1,-1,121088,400817,-1,-1,-1,903151,-1,874451,-1,252320,456463,-1,-1,-1,72478,76946,561284,650371,146770,-1,-1,-1,-1,837273,-1,-1,825005,-1,688552,766305,629116,940751,117481,-1,713427,-1,-1,-1,-1,-1,621802,329301,871254,-1,-1,705214,820674,335271,237284,-1,-1,-1,829631,730956,210446,-1,-1,-1,-1,547380,-1,-1,404813,821265,834490,443650,-1,109404,-1,857183,706738,42335,-1,332625,827918,791314,326781,760080,119929,-1,373395,-1,-1,-1,130659,-1,473473,362595,-1,-1,-1,-1,866364,-1,60241,-1,372892,354984,-1,-1,658907,-1,882435,-1,93563,136294,-1,955500,401229,368119,112629,641631,-1,672451,-1,-1,570589,-1,637981,840600,-1,-1,-1,-1,-1,-1,293114,-1,-1,-1,-1,525838,-1,210192,-1,541683,428103,969477,513729,-1,617486,304415,405720,-1,-1,227401,-1,976858,577645,675789,-1,-1,719870,-1,557833,761791,590834,23478,382555,-1,-1,163365,26811,28099,-1,-1,-1,531544,631574,852865,871119,805788,105296,672379,-1,-1,-1,-1,481518,787472,-1,-1,-1,-1,-1,895926,4559,8653,-1,-1,794168,-1,-1,-1,-1,471600,-1,-1,-1,250818,75711,-1,460419,211202,142177,228924,823367,571672,-1,-1,-1,-1,720163,-1,-1,-1,-1,674154,401816,-1,-1,-1,947142,-1,519185,-1,298915,580380,605242,655633,-1,-1,-1,985083,353984,-1,-1,36347,69150,865257,-1,343359,-1,921284,-1,278599,-1,222367,910461,-1,-1,-1,77722,356530,134627,767761,59130,-1,582409,-1,-1,440844,-1,-1,-1,112903,-1,487285,-1,770408,700094,357630,946990,531484,850470,-1,785091,110485,-1,-1,-1,-1,36084,294191,982309,396994,-1,91746,144311,159304,662944,822435,609480,864189,-1,264434,105761,-1,-1,-1,700124,-1,-1,-1,583392,579827,-1,885273,617851,-1,-1,-1,314848,-1,-1,163393,-1,175837,-1,-1,111260,-1,75415,-1,-1,986711,916904,-1,-1,153332,-1,13156,13697,85700,375621,617101,-1,227574,682161,344956,-1,-1,860420,720555,709282,760005,92509,-1,298793,656636,138213,-1,-1,978022,611877,477575,48560,-1,324379,-1,48435,-1,-1,694913,134583,-1,-1,40448,-1,179101,-1,-1,712109,736226,-1,348977,-1,-1,-1,-1,128889,421157,983705,634178,-1,640023,-1,157667,585336,839014,-1,-1,-1,455136,-1,-1,-1,544105,-1,-1,-1,80161,-1,570262,645212,763136,-1,186947,253272,76211,104807,138274,565206,29223,183913,872636,-1,-1,416485,420364,527755,-1,-1,-1,948636,962931,-1,146910,-1,-1,-1,636023,229821,907605,-1,93493,-1,-1,-1,928962,-1,371801,-1,-1,-1,-1,822252,735414,365582,796209,116163,-1,-1,822120,702051,549339,-1,644109,-1,838162,126496,879258,395772,-1,75819,-1,-1,579284,-1,-1,921403,693857,-1,644839,310604,993089,-1,-1,-1,-1,-1,-1,-1,-1,-1,541984,255498,106578,863302,689448,-1,699259,810847,-1,-1,-1,-1,569600,267167,176310,543862,-1,-1,-1,-1,693368,904032,-1,264991,376277,612459,-1,-1,-1,-1,-1,470756,26670,406292,-1,-1,-1,-1,320756,380228,-1,-1,-1,655004,202557,874825,-1,-1,973072,287267,697572,677111,-1,655107,-1,213392,219659,-1,-1,-1,-1,-1,-1,-1,-1,-1,712562,-1,-1,348447,405767,-1,-1,-1,178972,414876,-1,294105,-1,-1,11897,356379,770102,-1,714843,-1,-1,90585,-1,-1,402672,850806,-1,-1,-1,74226,-1,965586,414526,-1,330997,-1,-1,-1,-1,-1,979862,-1,-1,304094,724650,267387,-1,-1,690343,69212,33946,450158,-1,-1,-1,519314,961270,-1,514084,-1,17632,-1,-1,-1,-1,19364,702320,984778,-1,-1,-1,-1,239695,-1,-1,586637,769990,-1,386484,-1,-1,282855,607358,965568,-1,136195,847979,-1,816924,-1,779218,147134,-1,333585,-1,-1,948191,177285,637925,-1,931592,-1,-1,942796,879327,-1,692358,817708,305725,-1,16132,-1,-1,728331,257726,927642,-1,816491,-1,110328,-1,306421,707825,741889,-1,102976,694717,49413,-1,-1,-1,527253,-1,578015,-1,-1,853978,229898,613473,-1,470441,264104,-1,988724,744976,-1,405001,-1,-1,999544,-1,672577,569610,-1,-1,-1,-1,412421,-1,-1,473067,610724,468257,781559,-1,-1,-1,-1,-1,-1,8462,380841,-1,642193,-1,-1,-1,-1,-1,966268,47190,-1,-1,-1,864629,-1,-1,-1,657786,991033,891283,169095,11337,252586,-1,-1,328548,-1,180808,917226,-1,-1,-1,972488,732981,86614,-1,283729,461457,128487,-1,-1,-1,88720,852527,457287,-1,514643,246385,-1,974799,505801,915079,945850,-1,-1,-1,-1,-1,-1,313622,-1,-1,129527,273277,-1,41746,-1,833802,643897,550744,214604,801368,862508,-1,437813,-1,349120,-1,-1,-1,877194,-1,851890,-1,484262,600552,953253,-1,240413,-1,189681,79210,-1,435185,123381,983965,-1,-1,75009,715205,-1,497912,416189,871422,-1,-1,-1,724811,132792,-1,-1,608581,-1,-1,-1,625758,-1,190006,25967,864221,502208,-1,163455,732359,807247,-1,-1,439143,-1,-1,-1,-1,-1,783965,-1,202502,-1,-1,723272,-1,-1,-1,-1,908187,520622,546536,-1,920479,-1,638087,-1,492423,715189,599673,724322,-1,-1,947692,-1,123258,-1,46504,-1,595049,197152,890004,202852,-1,874413,-1,724000,528521,846408,228961,918048,844522,-1,-1,-1,-1,-1,-1,262200,-1,373803,852001,-1,764900,-1,512599,-1,873037,-1,346260,-1,69615,-1,-1,470920,-1,-1,-1,-1,-1,-1,318582,-1,587514,-1,889898,-1,834790,415998,-1,812814,-1,308960,-1,-1,498622,-1,-1,793699,-1,426379,-1,183660,-1,451257,513401,649951,-1,894899,348062,-1,-1,-1,562380,481660,637411,85001,934900,-1,-1,-1,51138,303603,323761,598489,326587,736517,926645,-1,-1,-1,782521,-1,-1,-1,109114,-1,-1,186720,-1,105831,-1,557643,994959,964709,824615,-1,-1,-1,509676,719999,-1,479626,150451,889587,593245,-1,10006,-1,245707,-1,-1,-1,577141,-1,-1,832561,-1,321545,-1,-1,560105,-1,-1,270706,802891,9343,-1,-1,27873,-1,450536,-1,660667,195880,-1,-1,624011,-1,19113,-1,-1,-1,597894,-1,918039,-1,-1,-1,124294,-1,589136,-1,-1,95499,19361,-1,718988,546676,818962,-1,429940,562471,-1,-1,-1,-1,841801,968141,-1,426921,-1,179716,-1,347043,687609,-1,298463,-1,-1,973525,806339,-1,-1,203502,821648,-1,-1,408323,-1,-1,-1,-1,-1,568631,759474,364250,592289,229503,-1,-1,-1,-1,55360,531813,542170,811535,938420,-1,942390,907913,518676,184196,-1,-1,279510,882293,46155,-1,-1,-1,-1,-1,271446,-1,585398,939789,841169,-1,-1,526381,-1,-1,991082,499317,739361,-1,-1,303590,-1,625601,-1,144898,202743,-1,531418,323095,-1,-1,-1,-1,716525,920726,809302,-1,-1,-1,-1,76478,153851,796988,-1,-1,-1,-1,-1,-1,296592,-1,-1,-1,548490,-1,-1,-1,-1,828227,679564,-1,745726,241086,-1,677895,-1,486535,25482,-1,-1,-1,-1,-1,-1,450070,325124,891452,214911,141871,-1,125815,873412,-1,544263,685513,-1,592365,-1,928153,-1,138979,13019,-1,-1,-1,993002,-1,392078,-1,-1,-1,-1,-1,42750,-1,-1,920639,-1,859697,308790,-1,229315,629905,420027,933087,657883,-1,293785,-1,716731,577872,294777,-1,641254,-1,-1,-1,411028,-1,611908,-1,-1,-1,-1,586525,-1,448568,433432,499126,-1,43881,-1,-1,-1,44781,-1,996559,-1,282278,-1,120884,-1,852391,-1,-1,-1,-1,-1,675406,574310,676219,-1,713209,-1,384211,-1,-1,214951,-1,352632,852298,391947,562100,877464,-1,-1,-1,-1,58231,751171,778322,305465,156591,-1,-1,-1,213249,-1,275718,-1,488712,-1,-1,-1,974061,722604,478486,912262,-1,332182,-1,953816,657401,149466,294451,823509,468429,716264,-1,341164,186547,861761,-1,400140,36338,170037,789871,901483,-1,800661,544658,260948,-1,-1,579908,-1,897329,53145,-1,112000,427052,-1,-1,-1,-1,-1,964270,-1,-1,-1,-1,-1,364799,637090,-1,436777,329878,221767,583817,-1,709381,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,566754,-1,-1,-1,-1,-1,221721,-1,702614,773499,-1,852236,101945,-1,-1,745252,502920,-1,-1,827086,-1,-1,825642,-1,171323,316877,128380,977891,998433,493892,-1,798232,-1,-1,631475,564359,153114,804448,-1,341543,84865,-1,-1,-1,565155,-1,22488,-1,519273,-1,-1,972567,-1,-1,812960,-1,945331,-1,-1,284827,231930,415101,-1,519855,577943,-1,-1,731370,260393,-1,-1,817003,552163,486021,-1,-1,132344,197082,-1,-1,-1,-1,813710,429073,286212,-1,-1,954704,-1,-1,799828,116966,379633,847323,831256,-1,-1,-1,-1,627326,-1,-1,-1,-1,-1,-1,823819,769335,203955,753782,-1,907580,-1,-1,658176,-1,870998,850058,-1,-1,935110,633126,-1,358707,-1,-1,-1,149007,-1,-1,-1,772644,-1,184069,-1,652956,823857,-1,-1,529693,-1,167921,-1,-1,178405,-1,-1,112600,-1,-1,-1,414825,-1,248860,-1,-1,-1,-1,-1,-1,693623,-1,-1,-1,-1,-1,-1,495585,14097,104439,-1,113317,-1,944738,269149,297320,-1,708066,696112,886548,639936,505585,764617,-1,-1,578363,670821,25240,-1,662678,600749,257601,820615,616388,-1,278674,277035,-1,-1,-1,442832,148777,-1,-1,-1,-1,500863,59317,876757,-1,-1,448105,223944,-1,-1,496733,-1,627718,-1,611113,-1,-1,895669,-1,-1,-1,-1,-1,-1,782401,115525,-1,-1,967866,341129,-1,71307,-1,22127,-1,-1,-1,679463,-1,693073,468469,890020,488173,-1,-1,833846,529239,-1,-1,229355,-1,-1,-1,-1,-1,-1,-1,204201,546737,209772,-1,-1,-1,173269,-1,463171,-1,615358,-1,-1,333602,-1,426575,833698,-1,-1,-1,171654,217107,759585,-1,667794,-1,-1,-1,254048,-1,463213,-1,-1,101108,980431,943997,462913,953185,-1,909456,328381,-1,448934,618786,-1,-1,182160,-1,-1,-1,-1,-1,-1,-1,701044,575474,241169,-1,-1,989917,183290,-1,784844,50288,-1,702149,-1,865422,906116,-1,-1,-1,-1,-1,-1,608594,612854,660063,70167,799949,102484,-1,899407,-1,-1,239504,-1,783984,-1,-1,-1,952471,349877,406424,-1,10099,-1,-1,794465,-1,-1,-1,-1,-1,-1,-1,616490,913880,601994,-1,-1,-1,906768,153592,571406,-1,863981,73395,-1,-1,-1,-1,-1,101829,191780,251558,-1,356657,169662,-1,-1,-1,-1,726929,-1,-1,-1,483402,-1,-1,711192,536390,603727,-1,999659,158670,76331,781457,788847,134351,-1,648626,-1,711191,-1,109824,666399,-1,-1,-1,265215,412197,730011,-1,-1,240749,435226,-1,307272,-1,-1,462136,-1,-1,-1,474928,500605,982577,570268,878170,975630,-1,187660,-1,-1,-1,-1,-1,-1,-1,-1,-1,331888,-1,90530,-1,-1,-1,-1,-1,143318,-1,775255,-1,838461,427861,-1,-1,-1,-1,405700,-1,-1,-1,-1,189357,-1,-1,241230,-1,198345,196659,-1,-1,-1,485415,-1,-1,589878,444674,-1,745899,376538,95766,-1,-1,283081,-1,-1,700041,879918,722982,-1,165030,-1,364644,773262,-1,-1,-1,699225,-1,-1,981014,763039,-1,257378,-1,157786,-1,293923,-1,540616,-1,382506,-1,-1,709342,332031,-1,191724,-1,-1,-1,-1,-1,499310,321442,192792,-1,140641,523640,297059,574479,-1,-1,-1,-1,823363,186863,-1,611688,-1,-1,-1,477162,-1,733950,396087,-1,687432,648693,421776,-1,10990,386523,261142,-1,-1,-1,15113,897748,999650,-1,-1,703001,754497,128394,-1,-1,659553,-1,-1,368375,-1,-1,-1,-1,-1,-1,-1,949167,-1,945947,-1,115062,-1,792172,851004,-1,519154,-1,-1,35670,505684,541924,909187,-1,-1,-1,-1,-1,-1,-1,811927,-1,213435,345601,204642,-1,949796,227338,370947,788610,-1,-1,130178,-1,612708,658357,-1,-1,-1,205359,-1,-1,773156,470491,-1,-1,-1,50076,261761,940743,733102,-1,881598,242288,-1,-1,317065,273080,334783,790960,944601,896903,-1,408174,-1,-1,-1,729503,-1,646374,100752,-1,885201,-1,975676,-1,-1,884601,-1,-1,563797,-1,-1,-1,109286,-1,899848,-1,-1,154652,-1,800859,163939,-1,-1,-1,42763,732742,555904,172736,142858,-1,500044,483585,32417,-1,-1,-1,114875,365473,173079,839394,-1,-1,145506,329792,-1,505043,949486,-1,271280,545401,759518,407255,64644,-1,-1,-1,-1,582237,948162,-1,-1,-1,-1,303081,-1,698902,-1,-1,28469,-1,125401,299412,124525,626810,987875,29835,-1,-1,229867,-1,514663,-1,-1,344864,-1,-1,-1,598005,-1,812099,748345,426939,-1,-1,872284,-1,783155,-1,601065,-1,120406,-1,-1,646265,-1,-1,-1,262163,475415,901796,523613,47096,-1,-1,-1,-1,-1,701947,-1,57627,-1,-1,443556,-1,323553,-1,558199,194899,-1,-1,667889,909637,228143,778355,-1,565720,195062,-1,851794,-1,-1,-1,216117,36052,-1,592478,401825,-1,643858,-1,-1,-1,753023,-1,278594,94278,-1,-1,-1,-1,-1,152666,-1,-1,798619,-1,-1,696648,194008,-1,409130,-1,-1,607737,-1,539489,-1,-1,-1,801883,883338,389926,-1,22247,-1,616425,160409,-1,78763,273333,-1,-1,-1,109142,-1,-1,-1,-1,550510,-1,-1,392568,442325,352346,855238,-1,-1,-1,667369,-1,-1,-1,123777,976513,937826,378041,101610,958119,-1,150343,-1,341305,433820,300940,234743,-1,246140,892223,961959,746406,659880,498195,611793,-1,-1,911948,608209,264859,-1,863113,555102,132401,-1,-1,464152,-1,-1,-1,625223,-1,-1,-1,-1,-1,9782,-1,408088,261983,-1,-1,-1,-1,-1,580048,-1,688957,-1,-1,718241,-1,576382,-1,645115,-1,415341,-1,566401,-1,-1,470464,291050,366600,-1,917780,6408,23520,-1,-1,106352,-1,716838,44660,319691,-1,288708,-1,-1,997536,88258,682502,-1,-1,537717,594606,789769,-1,-1,566038,894191,-1,-1,517293,-1,239958,865687,-1,512730,461674,929438,-1,746399,-1,-1,938699,6870,46177,-1,690122,242887,-1,-1,750113,-1,206634,989065,619910,-1,926891,-1,279420,936080,-1,444482,-1,299607,-1,-1,-1,135525,-1,827779,-1,-1,-1,476615,300631,-1,488595,72802,646743,-1,827856,-1,810319,-1,978373,-1,-1,670544,-1,-1,389636,-1,988027,-1,-1,458931,-1,401882,373921,53898,576755,-1,-1,30393,-1,-1,565728,-1,-1,586394,118387,-1,830534,818027,705788,-1,-1,-1,-1,-1,-1,746905,410623,126484,245558,-1,359001,-1,-1,82975,-1,-1,-1,683188,78551,129896,873513,-1,-1,548450,-1,298225,-1,203930,991732,-1,958865,880038,445176,348323,-1,628484,-1,100694,-1,3466,458380,757577,965185,-1,665318,-1,-1,266401,-1,433973,188107,-1,-1,-1,829044,552756,-1,890271,296970,998390,-1,216978,263787,96349,832645,658699,-1,-1,154735,484897,721922,-1,795096,987,-1,-1,-1,-1,-1,-1,-1,943275,-1,-1,-1,165621,-1,-1,-1,222244,-1,-1,-1,126769,-1,309682,773320,522283,367992,775780,653706,730221,-1,821607,-1,-1,475526,592509,-1,-1,-1,717532,300192,-1,-1,800573,-1,519079,775035,-1,-1,-1,-1,906137,963330,642958,-1,518910,136907,876580,-1,-1,419126,465001,-1,414618,-1,503400,-1,392314,427257,-1,936557,-1,-1,965079,769192,-1,-1,-1,-1,-1,767237,-1,816663,-1,693269,-1,466505,301167,-1,-1,933720,-1,924384,-1,567706,-1,-1,-1,131835,91191,906350,382681,-1,-1,203403,49309,-1,337294,79620,-1,-1,-1,594885,704676,691663,897739,-1,884944,153311,-1,-1,-1,131338,-1,96256,25318,586500,-1,999398,770057,125189,-1,29051,-1,299945,-1,886085,616996,448996,-1,539223,142963,589195,-1,-1,637755,17111,-1,-1,-1,-1,-1,810616,733801,288875,-1,-1,-1,-1,-1,568463,21263,-1,-1,-1,100747,-1,-1,-1,948524,631632,868298,-1,-1,-1,-1,265191,-1,715881,-1,-1,732284,246333,985725,976475,937269,163750,-1,-1,227421,-1,-1,475710,927298,-1,696948,-1,-1,-1,184043,-1,128423,-1,672131,-1,-1,521970,-1,624600,356680,-1,698901,-1,924094,-1,-1,-1,-1,-1,949266,-1,-1,-1,-1,-1,-1,121065,-1,156191,169584,-1,524012,878338,925445,-1,-1,790652,329714,340522,-1,708534,-1,-1,-1,-1,810476,104578,255385,-1,-1,-1,-1,-1,343325,-1,613066,123474,-1,-1,-1,-1,884222,-1,-1,-1,-1,-1,-1,-1,-1,855432,828198,687495,968747,542949,994302,-1,-1,347948,-1,-1,-1,-1,193990,-1,-1,122537,163216,717252,184141,-1,-1,-1,-1,-1,-1,522832,436523,214716,-1,459589,990879,-1,-1,-1,182361,-1,836955,278364,-1,-1,646060,784954,-1,-1,-1,-1,172802,-1,290114,105539,-1,-1,68640,-1,541770,904457,-1,678667,-1,732464,40910,-1,-1,397075,748378,147218,-1,-1,496136,-1,-1,73724,814529,-1,710824,-1,122632,317072,758211,-1,-1,-1,-1,-1,575489,140836,173264,959861,-1,434050,934772,523612,-1,-1,-1,-1,550850,573462,-1,-1,-1,-1,53071,436697,-1,595447,179193,-1,-1,49988,785052,-1,-1,-1,-1,-1,-1,-1,330327,615999,-1,-1,444388,86433,389688,-1,427024,-1,-1,-1,-1,-1,-1,367245,163582,-1,-1,20273,-1,277294,-1,905536,-1,225246,-1,963981,-1,515527,543431,661121,-1,460038,254554,-1,824323,750157,-1,957542,504858,802601,-1,-1,595317,989361,407732,950061,983958,20211,-1,-1,-1,-1,625965,-1,-1,879352,-1,-1,-1,397007,529899,878687,508238,-1,-1,-1,758938,-1,-1,-1,324268,200718,974258,-1,949900,863042,793105,-1,-1,503675,572851,439936,-1,275985,-1,-1,460538,-1,-1,350234,364479,-1,488278,251519,-1,-1,307398,-1,-1,205497,765847,923852,934438,-1,-1,-1,-1,-1,426686,503684,866516,261982,-1,-1,-1,403790,-1,-1,403802,190085,-1,356292,-1,-1,22541,-1,793196,-1,-1,-1,-1,853597,-1,-1,-1,-1,251541,868754,-1,745694,-1,-1,423863,1969,276538,985196,-1,-1,-1,526182,-1,-1,622705,-1,134076,-1,-1,572549,-1,-1,-1,-1,-1,475664,972664,622068,-1,36850,-1,-1,-1,821190,-1,859573,-1,885199,-1,659073,855494,-1,945989,-1,344602,611244,-1,675381,-1,929362,979623,-1,-1,-1,928632,-1,-1,502215,165071,244131,-1,793966,-1,-1,-1,-1,-1,480779,-1,-1,301334,289410,122768,828962,-1,-1,830937,-1,621585,887982,-1,-1,666913,377919,-1,-1,-1,-1,63118,57598,524995,-1,-1,-1,266988,-1,873963,-1,719262,567974,894929,-1,477400,460490,-1,-1,675544,-1,-1,-1,548551,86762,880408,-1,282234,280264,636343,-1,801977,-1,656,121176,4547,-1,-1,674015,-1,-1,-1,-1,-1,643401,503955,-1,626859,983059,-1,275433,-1,851521,-1,314293,155877,633111,-1,87414,882062,-1,-1,279033,675259,-1,-1,238653,455987,-1,188567,-1,284429,588855,-1,989242,596718,856288,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,657058,-1,-1,-1,434055,-1,-1,929756,494815,-1,-1,-1,-1,290441,-1,-1,-1,-1,-1,-1,452632,325151,862837,-1,505883,881312,833408,332112,-1,-1,-1,13229,751942,255293,137435,-1,290851,730780,-1,514271,661124,855929,-1,-1,466650,-1,-1,-1,234611,-1,648530,741937,772614,133965,55612,-1,291186,826342,-1,-1,938360,436460,-1,570420,196819,-1,-1,423872,-1,504942,716974,428981,354118,-1,96368,838628,178246,-1,-1,-1,719749,925543,-1,289806,-1,154086,-1,4087,449244,-1,347315,-1,799552,806023,672413,-1,222290,335776,838420,-1,243642,169732,-1,758939,249035,599343,397791,298613,609678,-1,772907,90310,-1,725650,541609,-1,667705,-1,889643,-1,-1,921814,441989,-1,-1,278425,-1,-1,-1,-1,-1,-1,482927,-1,820927,-1,792429,603219,239222,444999,-1,-1,-1,179170,-1,-1,-1,887559,526085,551266,-1,572080,204129,-1,556588,-1,937553,117498,874229,-1,141077,179961,-1,-1,240756,223038,844373,861651,-1,898257,-1,562899,-1,241566,-1,239296,65906,440116,752670,725764,-1,-1,-1,-1,-1,87536,-1,348318,998825,-1,-1,-1,198960,209045,427162,-1,955956,869458,149642,-1,354336,305026,-1,-1,317258,-1,803653,833740,750623,464884,454171,192517,815209,764258,129684,13565,64323,-1,575467,806749,354681,-1,-1,-1,395546,537122,-1,-1,-1,-1,529434,-1,963725,-1,752448,146297,-1,464110,73730,-1,486497,-1,818254,468753,552892,596539,351120,-1,-1,272714,-1,810425,-1,-1,-1,-1,598836,460416,-1,234092,70739,514248,133516,183178,421037,929994,85567,-1,848913,-1,408512,744133,472821,-1,-1,-1,-1,-1,-1,167039,-1,-1,78014,-1,975192,-1,490490,21228,213940,-1,737373,-1,-1,-1,-1,614429,-1,595685,-1,-1,195987,-1,435910,877453,-1,930667,558622,-1,-1,844582,-1,-1,-1,462972,-1,-1,-1,-1,387554,158368,-1,707988,-1,-1,918417,-1,-1,-1,828805,484141,-1,776576,-1,-1,-1,851741,-1,-1,742167,183638,889003,840865,779582,-1,122411,-1,466621,-1,145016,-1,-1,617229,63279,-1,935377,-1,-1,-1,-1,9196,839027,986448,-1,109365,569039,75606,477295,201658,559420,223074,631215,-1,-1,321565,-1,611226,-1,-1,556230,155291,-1,-1,492608,-1,-1,363532,361658,364662,-1,-1,-1,258287,-1,-1,-1,806233,485617,-1,-1,260159,461532,698382,-1,454738,982039,-1,-1,866384,260205,498157,-1,150838,256380,-1,976690,174914,28181,-1,-1,-1,371817,373070,-1,107102,-1,583970,-1,-1,-1,-1,-1,423931,-1,-1,299902,-1,597323,-1,995605,461934,215337,612339,-1,271997,-1,-1,643827,89368,458114,289355,656528,159394,463181,-1,904051,342418,-1,727918,738352,-1,27726,-1,-1,-1,334983,-1,116557,-1,680461,506776,198650,119255,752857,-1,-1,677490,586595,-1,756324,608577,254276,988504,641216,678125,132388,513825,-1,-1,-1,764445,-1,723979,625460,901932,-1,-1,631818,890562,339509,200300,634345,601239,-1,-1,-1,-1,-1,357872,-1,593767,-1,748200,-1,-1,925052,-1,385828,-1,-1,-1,-1,-1,-1,739397,549662,762694,55129,129245,864148,-1,282563,-1,-1,775045,-1,-1,594483,634735,-1,-1,-1,410225,-1,452247,421775,-1,-1,783806,723140,-1,-1,-1,660440,247022,-1,-1,226690,-1,968549,671309,-1,960216,221443,-1,-1,-1,505983,-1,765440,-1,172098,-1,192746,-1,638766,752280,971733,561206,586376,600984,674622,444316,199331,-1,-1,-1,-1,452421,13846,871999,268950,-1,-1,343803,252812,95596,385597,-1,-1,-1,-1,-1,538901,-1,974128,17931,121098,-1,139894,-1,811739,442664,637246,319025,-1,-1,912733,45418,468832,-1,962066,5250,288909,-1,774373,-1,-1,-1,-1,996436,612213,-1,452898,234733,299506,-1,-1,527493,552946,-1,916652,-1,402752,-1,323100,286812,-1,-1,495822,523109,-1,-1,477114,-1,-1,-1,561881,998161,-1,-1,998637,149012,654655,-1,-1,282338,-1,-1,999253,429214,-1,-1,-1,-1,-1,900013,-1,-1,331402,288143,349000,35114,-1,954571,578902,-1,-1,-1,-1,-1,718331,-1,200824,141629,819733,975853,278105,-1,-1,-1,-1,925738,9413,785107,-1,970144,496315,246007,377796,-1,21728,-1,331117,-1,488782,-1,-1,-1,-1,874695,-1,87271,-1,791550,-1,-1,-1,607768,-1,546518,-1,-1,-1,-1,28364,809299,-1,345951,74153,-1,-1,472852,193159,191816,-1,-1,-1,113181,670238,-1,-1,-1,-1,811610,499275,-1,821975,-1,-1,-1,316103,261584,195768,-1,-1,530037,785164,753706,88100,-1,-1,10884,944594,185521,-1,177437,309068,717668,-1,247463,-1,740402,-1,-1,-1,404025,235838,-1,-1,-1,674975,-1,920210,982831,540690,202472,552208,-1,-1,383197,-1,890628,545319,77430,723675,443472,897305,-1,-1,532126,-1,-1,-1,821668,-1,393822,-1,537287,690774,899439,-1,813212,619392,-1,721371,-1,433140,120655,999639,-1,854384,160950,-1,-1,-1,-1,605868,-1,-1,581543,-1,689786,814239,367958,878556,547017,799729,-1,339347,-1,-1,-1,-1,-1,74396,681023,-1,174469,-1,328088,321972,811616,809882,280001,-1,-1,-1,252683,-1,74587,923772,137196,961769,-1,-1,-1,-1,-1,-1,368169,949355,-1,-1,-1,-1,138542,-1,791176,798508,785426,952637,742692,954528,511079,-1,723948,-1,957721,869952,8905,-1,946525,-1,-1,-1,-1,519615,-1,17275,-1,150241,793660,945716,-1,-1,-1,-1,-1,-1,590280,-1,-1,-1,-1,819669,608019,284124,458478,51628,-1,471879,-1,878912,-1,270678,595467,-1,52338,-1,-1,-1,355305,-1,45307,-1,494828,-1,689366,851686,-1,600499,152647,500454,-1,-1,-1,-1,309038,338582,-1,-1,373985,-1,-1,314560,-1,271683,-1,-1,182639,-1,533498,5002,-1,-1,-1,257168,-1,750384,214176,522038,-1,-1,-1,-1,374728,953151,674927,101198,635357,633919,-1,458245,924178,547224,857844,-1,-1,-1,557742,70709,309269,-1,474821,557513,951998,113449,48126,-1,573120,575494,353091,-1,-1,-1,-1,790982,-1,878817,-1,-1,146046,792277,-1,995032,-1,-1,426882,285717,-1,-1,707982,42416,-1,678492,-1,-1,-1,-1,-1,821267,420226,-1,407825,-1,620868,962403,521073,346789,-1,764799,413466,-1,136840,856754,-1,-1,140876,474383,36393,340141,632163,-1,501447,423594,-1,503591,-1,-1,343282,619651,800140,582859,206635,243599,2866,207859,-1,869770,-1,762942,917137,-1,818062,876526,-1,870655,935855,-1,82669,-1,-1,-1,-1,609547,-1,-1,123878,-1,-1,-1,14472,781945,-1,-1,-1,506968,307972,-1,985829,650334,898178,94609,374950,-1,-1,-1,-1,813379,-1,222761,-1,704248,-1,374784,120974,925201,-1,-1,-1,167915,-1,84341,364034,642500,451306,446334,525747,719479,257409,-1,-1,-1,882579,-1,505195,475257,536377,-1,-1,686772,-1,587334,574424,-1,-1,-1,-1,-1,-1,785359,415299,326058,-1,35025,-1,-1,-1,959130,143417,-1,153410,-1,453999,21502,-1,-1,563599,-1,36420,-1,-1,136301,472508,887009,-1,75559,496606,448762,-1,-1,544938,486682,37422,731555,956990,-1,-1,152656,813912,499625,416047,632489,225075,-1,-1,-1,62053,-1,471706,908696,-1,-1,-1,799104,845339,-1,-1,87585,135563,283748,132875,986184,985948,500472,220705,-1,285671,-1,389011,12633,307929,-1,967209,-1,427689,365269,555044,-1,-1,753281,-1,218485,133585,847857,-1,-1,186770,413371,-1,343651,-1,-1,396301,59727,-1,-1,-1,84979,-1,741947,284568,378850,-1,-1,350439,-1,-1,-1,-1,-1,-1,-1,-1,328736,603889,931049,360799,-1,780424,-1,185107,86823,-1,98753,952567,892564,469079,-1,-1,803066,437518,544541,-1,-1,-1,297017,-1,-1,-1,-1,-1,-1,-1,416414,-1,-1,-1,769895,800300,535411,656105,257578,546932,504015,-1,216322,104264,-1,941030,69467,-1,-1,88871,-1,333469,-1,201661,539848,928520,-1,-1,-1,751419,907390,-1,-1,421446,764460,622613,218914,-1,-1,-1,250199,250517,868629,-1,844876,-1,382230,377132,975634,-1,-1,-1,344779,319661,-1,144924,362846,212712,-1,-1,-1,73924,333445,47128,43216,185595,172023,143399,-1,431902,-1,-1,259802,701449,512161,324237,-1,-1,843962,737530,288783,-1,-1,83366,274622,685566,620332,-1,686903,678203,-1,582991,313947,16988,489272,-1,233105,-1,-1,-1,777062,-1,-1,544593,-1,-1,694410,-1,876171,-1,315141,634266,-1,-1,358449,-1,-1,-1,-1,668830,543666,238461,-1,85895,-1,-1,-1,-1,284975,-1,-1,469778,597150,475043,602971,-1,235001,-1,-1,40291,331308,473651,-1,758165,-1,68991,539670,904175,-1,-1,-1,831164,248764,-1,247174,-1,-1,23015,783751,-1,720681,-1,147316,562446,-1,968118,395689,21140,-1,-1,910411,-1,-1,-1,845839,561398,805190,377672,-1,721581,-1,849625,-1,231568,748469,617357,103177,450327,-1,-1,271301,785409,-1,573368,89502,47227,15420,-1,-1,-1,-1,-1,684874,-1,-1,951392,191454,-1,-1,-1,-1,891462,194963,-1,-1,-1,907259,757224,663730,533715,129388,979434,-1,579484,936379,-1,-1,875703,995945,362115,470945,-1,-1,-1,305321,332780,964161,747270,-1,-1,-1,788368,66614,-1,-1,-1,9620,-1,489587,-1,-1,-1,-1,761064,-1,-1,-1,-1,-1,-1,-1,875602,-1,790505,964965,592491,-1,163042,216358,189580,-1,468344,717586,-1,-1,-1,-1,259455,-1,829289,551369,-1,-1,-1,434721,-1,886589,907473,-1,-1,326418,146160,813089,916738,51403,-1,748038,977072,-1,295727,5988,714971,381383,-1,698866,-1,212218,-1,211684,218025,984799,821670,868087,108541,-1,-1,472368,-1,-1,225966,-1,-1,904402,-1,574008,-1,-1,565103,657665,-1,835346,-1,-1,453751,-1,-1,-1,-1,-1,-1,604973,489973,-1,364957,730707,180582,-1,-1,177236,477065,-1,186210,123308,830217,-1,-1,-1,-1,-1,872138,-1,45363,-1,570860,-1,196080,-1,635399,277888,-1,-1,-1,-1,-1,553932,920216,-1,-1,895515,-1,-1,83470,-1,-1,-1,-1,278121,-1,-1,-1,233582,-1,-1,232916,867816,-1,-1,367093,220413,-1,522249,-1,-1,-1,-1,838925,355853,-1,875489,9149,-1,-1,-1,866410,495133,-1,398032,107591,269568,799547,564616,-1,-1,307592,-1,-1,67511,-1,-1,-1,-1,989876,933972,916616,-1,32813,71909,-1,446234,-1,-1,-1,-1,99808,112326,-1,-1,-1,-1,-1,39712,-1,25319,430701,-1,728350,-1,-1,89191,-1,-1,-1,10722,192466,-1,-1,-1,-1,799286,73804,-1,-1,-1,-1,682248,-1,82788,721424,241588,845931,852816,932102,295284,991515,895437,125688,190353,-1,636765,-1,191210,-1,-1,453637,-1,964528,116049,43923,-1,-1,-1,-1,44520,553172,-1,578229,771213,-1,-1,352160,-1,-1,398326,540277,-1,282444,737774,975221,-1,-1,-1,-1,-1,809098,-1,336079,696795,-1,541887,54705,-1,-1,962697,429248,-1,87641,-1,-1,-1,-1,-1,598290,-1,-1,347115,247235,-1,-1,26768,649811,895953,-1,-1,758900,-1,-1,-1,543519,-1,945044,-1,-1,-1,-1,-1,-1,120529,-1,-1,553156,-1,598211,233170,-1,-1,-1,798700,780734,-1,844017,85817,271343,634506,-1,-1,417555,-1,-1,740392,731002,92947,952348,235291,171663,-1,313509,-1,782767,689757,-1,-1,356682,780704,-1,-1,-1,-1,-1,785988,-1,735490,-1,321850,38015,-1,-1,24825,710322,-1,-1,727359,339437,276313,823588,746864,-1,-1,-1,-1,-1,611147,-1,-1,-1,-1,-1,540636,208777,-1,-1,-1,511084,-1,453433,478458,-1,-1,4041,-1,462225,405408,-1,853119,614461,175037,635602,548023,957088,-1,589570,427709,-1,-1,492614,-1,-1,-1,-1,-1,-1,-1,108513,-1,536348,-1,280339,765477,-1,-1,768079,-1,822272,-1,216840,-1,-1,608555,-1,666499,791109,452718,-1,-1,-1,-1,-1,-1,-1,252084,198147,-1,-1,326351,-1,443225,-1,985670,221337,-1,605232,-1,858729,-1,580784,-1,-1,345999,-1,896595,755364,447703,-1,-1,985815,-1,-1,91866,497669,-1,800117,394611,772600,397590,-1,349236,-1,935883,-1,125468,-1,768343,742516,124446,535349,-1,329298,128511,900374,425070,420984,-1,562491,686324,624914,-1,-1,-1,-1,171144,-1,571358,199720,624890,-1,710854,751315,-1,-1,660462,-1,-1,807391,914965,528478,-1,180350,-1,-1,-1,718544,-1,-1,-1,-1,-1,489985,-1,449696,-1,-1,-1,577701,-1,456820,-1,-1,389138,569748,-1,-1,-1,-1,823702,63793,-1,-1,-1,888027,-1,-1,-1,-1,431360,-1,439757,762722,273606,734656,523562,-1,383058,729730,-1,-1,-1,72928,-1,-1,-1,-1,419344,559727,382644,111033,921090,119419,316339,509183,-1,-1,-1,-1,-1,37,-1,127762,-1,-1,-1,954127,848558,598361,608300,-1,667677,475524,-1,846627,521703,932114,835768,-1,-1,654495,707731,126192,49204,868965,-1,237407,742916,-1,-1,915661,-1,4803,933653,292795,-1,-1,102351,-1,10650,585266,742960,-1,805784,-1,93816,45505,-1,-1,880972,-1,-1,-1,-1,-1,-1,760373,576488,265579,-1,410296,34235,441403,-1,-1,-1,-1,155403,806923,990648,29998,-1,-1,562575,-1,-1,-1,-1,-1,554877,941784,-1,-1,-1,-1,-1,-1,524736,-1,-1,866119,-1,598493,583606,-1,-1,-1,-1,-1,-1,377223,947546,342614,-1,618756,-1,131399,98010,-1,-1,-1,-1,-1,199902,696680,208096,907747,-1,372778,-1,-1,993301,-1,-1,136045,349294,-1,-1,385664,584972,948725,-1,557706,258649,-1,491818,129158,954232,948416,-1,526579,298443,-1,-1,-1,-1,-1,-1,320103,786252,88733,796083,-1,167201,310937,522847,-1,-1,841151,688201,-1,524035,-1,-1,-1,-1,220406,976107,-1,-1,-1,-1,-1,499188,-1,-1,643634,-1,-1,347184,-1,699416,666697,-1,-1,-1,899775,277900,-1,22986,992677,875650,-1,842448,-1,-1,531997,72724,-1,-1,-1,-1,-1,-1,-1,606594,-1,-1,-1,995431,-1,-1,260237,-1,-1,919226,-1,-1,156445,671857,216340,-1,378624,-1,-1,-1,11099,951382,-1,-1,254571,583381,-1,-1,196540,921664,-1,974056,642038,-1,-1,935314,863622,826827,-1,800443,388790,-1,-1,-1,-1,566420,-1,-1,894694,-1,545449,951432,385014,47628,-1,206967,-1,326880,-1,40817,-1,-1,973490,459388,138750,27554,-1,840975,877793,-1,85233,796477,183207,636491,-1,-1,-1,-1,-1,-1,299033,-1,149400,-1,-1,-1,541898,-1,-1,-1,868929,-1,-1,22121,779459,570980,-1,-1,-1,882807,-1,704928,-1,854750,417677,-1,-1,567697,38717,-1,961030,898024,-1,-1,641319,398737,-1,691487,-1,-1,455866,-1,-1,-1,-1,-1,692176,94856,119262,290568,303962,-1,744214,-1,263804,-1,-1,-1,800777,42449,34739,-1,337171,-1,-1,407775,197501,306762,-1,-1,-1,431973,-1,-1,252465,-1,-1,-1,-1,411899,968637,-1,554149,343740,879975,-1,143856,-1,19730,-1,-1,-1,-1,474571,-1,713156,-1,-1,-1,3635,-1,895785,-1,896935,637154,-1,-1,-1,-1,373182,623487,-1,714939,-1,845865,-1,-1,792998,224370,261140,642089,-1,323975,570750,539385,66651,-1,633229,446784,-1,-1,688075,364447,-1,294818,534104,526552,683866,849164,-1,78373,361578,-1,336876,398957,-1,-1,834101,-1,-1,48148,-1,-1,377027,513081,-1,-1,-1,339424,-1,71015,115273,906599,925601,382694,421858,577688,267106,437499,-1,-1,-1,152356,955810,915914,-1,-1,-1,-1,-1,910121,-1,489634,-1,874411,-1,-1,511783,-1,697720,-1,-1,-1,37131,-1,720804,253653,-1,-1,505665,-1,-1,396115,73091,-1,-1,-1,-1,352624,-1,200398,-1,-1,-1,956536,-1,-1,-1,863600,532332,140298,747115,-1,288227,750954,302426,954551,-1,563490,-1,-1,-1,-1,555880,-1,356294,928030,-1,618520,230004,-1,809019,255944,-1,-1,517937,538415,-1,-1,16472,-1,497096,181174,362149,984037,-1,628660,563554,140537,975825,77702,794102,-1,-1,-1,-1,-1,186772,-1,-1,532719,517531,-1,-1,-1,817354,-1,18839,938824,203170,850424,206304,-1,-1,248960,-1,-1,679002,-1,-1,336307,557431,112105,-1,617228,-1,-1,862630,-1,-1,242536,575427,916118,-1,-1,-1,321563,346113,-1,402643,-1,-1,366005,-1,-1,-1,249701,-1,-1,-1,5096,-1,-1,-1,718185,104461,-1,-1,-1,810358,-1,110893,803775,141983,149842,-1,94088,322524,582959,-1,900195,194836,231457,-1,-1,643301,638768,-1,-1,-1,947820,240859,-1,945164,182749,202862,-1,302368,-1,-1,-1,-1,965935,-1,-1,-1,-1,-1,-1,339922,857297,405265,-1,732688,260124,196956,-1,-1,766312,104057,-1,-1,-1,8036,764577,691199,-1,-1,-1,-1,710481,166633,47661,-1,643670,-1,377143,474864,597905,592951,731013,-1,385995,-1,-1,-1,-1,-1,231189,220184,-1,805533,548592,689785,-1,368238,-1,930190,171051,-1,188534,287927,758578,107317,-1,-1,358811,973744,462844,233812,254351,-1,285195,134800,-1,99271,-1,-1,421935,803609,429114,871609,-1,670536,224029,-1,418933,148946,240571,-1,738073,-1,-1,-1,663269,-1,49221,-1,760877,-1,-1,464243,462474,864533,969644,339732,572461,879403,71482,-1,-1,-1,-1,613831,-1,-1,966522,-1,538293,-1,988598,234833,-1,288226,733888,192984,267922,10667,96968,-1,-1,-1,-1,-1,-1,481180,-1,-1,79289,295864,-1,673710,-1,-1,-1,401965,-1,-1,794637,-1,-1,83250,934418,144736,548963,-1,-1,334731,733310,369801,-1,391672,586658,762432,-1,-1,-1,893519,912883,-1,800899,-1,-1,-1,458136,637633,-1,-1,524904,928296,178655,482930,187146,-1,274813,606521,-1,-1,195781,338354,-1,334378,-1,659958,133922,681941,952094,-1,38182,83410,874395,-1,198665,163686,-1,602304,656515,-1,-1,249738,-1,-1,-1,348253,-1,-1,574534,-1,511149,-1,988634,925679,-1,-1,328588,500092,-1,-1,-1,-1,-1,197967,2004,-1,227678,756729,762741,390354,41190,329827,534369,210253,-1,736734,351143,-1,816117,787787,-1,-1,-1,107303,570329,277258,-1,-1,741317,478581,-1,652920,-1,-1,-1,180181,-1,-1,748508,301521,273609,467140,369894,514373,905285,-1,418484,241817,601055,-1,-1,-1,99118,-1,597089,998572,600354,260469,222639,882726,851842,314151,-1,-1,678814,937975,339707,-1,503444,-1,-1,-1,-1,-1,-1,558110,-1,-1,-1,739171,638385,-1,-1,-1,788453,121553,-1,989943,-1,-1,802815,289022,996016,31802,333366,956776,-1,-1,96269,40012,-1,565781,903879,-1,-1,-1,-1,-1,-1,566603,-1,-1,288452,-1,446490,-1,-1,652530,-1,-1,-1,-1,741451,944497,280408,-1,812173,-1,-1,-1,593790,-1,-1,-1,456694,5941,-1,-1,-1,-1,-1,-1,465123,881570,222862,-1,-1,231371,136336,-1,498008,124174,208711,-1,470787,940489,-1,958999,99615,147393,379384,831002,363644,548397,-1,943800,130000,834563,722963,-1,537843,650176,700640,-1,-1,699496,-1,620692,46335,-1,-1,604294,34716,291877,-1,-1,-1,-1,-1,-1,979836,110997,-1,965142,-1,-1,401482,-1,218434,753363,-1,-1,-1,841639,-1,-1,578510,997543,-1,-1,-1,759001,-1,-1,-1,-1,873049,213261,60750,-1,681122,-1,-1,73859,-1,-1,-1,-1,-1,185720,-1,-1,321515,-1,582933,512152,927356,354877,-1,-1,874138,833129,-1,887091,122068,-1,934329,103462,-1,216027,-1,-1,296463,-1,-1,213571,702388,-1,563078,-1,385076,312893,136546,847793,398034,-1,-1,-1,-1,-1,711767,-1,195505,802097,186162,68002,-1,-1,-1,465956,55075,451297,821503,703372,-1,-1,-1,617719,512103,688997,-1,-1,306477,444668,-1,592110,944712,226210,-1,-1,544424,-1,451766,-1,780726,-1,-1,443992,659393,-1,799067,375468,725721,-1,209922,-1,139888,1586,-1,93768,-1,-1,628908,95525,961223,404014,-1,628470,591920,-1,997544,-1,-1,762460,446546,205363,-1,-1,169213,-1,749353,-1,423045,210776,-1,-1,798665,-1,761256,-1,-1,-1,517789,983840,-1,-1,-1,-1,479380,12576,-1,632942,-1,296122,-1,-1,-1,543441,17612,875637,-1,68222,353511,-1,-1,165307,890498,-1,-1,-1,251244,-1,-1,-1,-1,-1,-1,777689,819206,558259,-1,-1,-1,-1,-1,234757,-1,-1,-1,432269,51788,-1,-1,615212,92757,-1,376086,250008,-1,523107,998654,-1,-1,-1,492085,-1,345924,146616,-1,-1,-1,839506,-1,-1,-1,-1,-1,51521,462703,149275,-1,-1,-1,902711,-1,-1,-1,217152,-1,-1,-1,-1,-1,748673,-1,-1,-1,-1,-1,780558,855880,-1,-1,-1,-1,-1,597366,302178,-1,-1,305415,-1,-1,596291,405737,660870,-1,600898,-1,-1,-1,-1,-1,-1,-1,-1,-1,617409,-1,744429,463008,146733,889388,-1,440787,585429,413923,619779,-1,-1,197179,-1,-1,824132,160266,-1,449620,-1,527233,-1,-1,117846,-1,686808,792701,-1,941555,483367,-1,798116,133444,-1,166098,209786,684320,235839,595434,891888,-1,-1,854152,238636,-1,-1,-1,-1,-1,-1,-1,676331,871126,411507,138869,-1,-1,-1,-1,186576,168513,-1,641832,127420,-1,-1,-1,563373,861138,154770,-1,268111,-1,-1,-1,-1,-1,946053,-1,-1,-1,426992,380459,8013,939314,-1,-1,554338,-1,559403,506067,639561,272133,-1,784242,282004,563934,-1,359486,-1,340071,495726,-1,147005,-1,345159,234126,-1,4902,-1,633874,-1,-1,108795,-1,9866,467671,-1,-1,414259,673135,-1,-1,-1,-1,243354,-1,236850,254598,334965,167747,216897,591079,-1,389456,-1,-1,505256,-1,-1,-1,-1,-1,253761,135830,523079,-1,-1,-1,-1,511019,-1,-1,192278,909679,673736,-1,-1,97325,142553,742335,-1,516469,785609,138970,592098,-1,-1,-1,-1,140124,698102,879404,519731,-1,838299,-1,232253,-1,956831,-1,-1,-1,979463,-1,401219,-1,-1,-1,445730,-1,-1,785039,459975,-1,723961,918101,685479,-1,744769,962680,467231,66854,-1,968071,513286,-1,-1,885192,277823,-1,-1,843938,996444,920100,-1,67808,-1,-1,-1,817386,502371,328084,537626,-1,100400,292987,685496,-1,-1,633896,-1,444258,-1,127777,-1,-1,700293,-1,-1,-1,-1,-1,21547,453812,130559,694959,942956,379020,847622,489438,-1,-1,-1,435696,570079,473131,-1,-1,-1,-1,-1,754461,-1,172589,-1,986706,-1,-1,116108,249327,-1,577986,264361,740318,485096,135591,212786,437467,-1,-1,414880,-1,430152,-1,-1,936523,-1,-1,-1,-1,463106,648506,-1,527648,-1,543745,774468,-1,-1,-1,223054,-1,-1,80054,20461,-1,-1,-1,102508,-1,-1,868362,-1,871934,708357,431415,-1,95592,306294,-1,-1,-1,-1,193173,734645,-1,106725,399538,861247,-1,207882,439477,-1,837448,-1,531337,-1,-1,-1,647594,948830,-1,331921,297308,24103,949744,939568,449703,-1,-1,459135,976311,-1,-1,534449,-1,732353,148243,629840,492726,628691,190793,70649,-1,-1,942828,973567,139901,47758,102359,450455,520824,-1,-1,921928,802552,329481,-1,211240,-1,-1,-1,556445,781265,-1,617811,-1,-1,-1,244165,32847,848090,-1,272698,-1,-1,105390,240632,522251,665830,-1,-1,-1,-1,241039,-1,-1,-1,793948,-1,-1,380963,163658,-1,164232,960275,-1,-1,-1,-1,-1,472053,-1,-1,-1,-1,23384,883325,544066,-1,251338,-1,-1,-1,-1,-1,-1,-1,525845,-1,537160,31195,997146,68370,-1,-1,-1,-1,60006,568169,-1,-1,320994,-1,-1,-1,-1,-1,185904,-1,16125,-1,-1,576888,569191,360844,528970,-1,-1,740780,166655,-1,-1,166519,-1,745927,70822,980167,-1,478598,831281,311695,41762,414403,186147,153178,-1,-1,-1,486101,6658,-1,308035,-1,488979,-1,-1,-1,94845,5121,-1,670003,334693,275768,-1,534316,-1,-1,-1,-1,-1,-1,343914,196045,-1,241646,-1,268808,904824,443263,923486,-1,620166,-1,-1,-1,530888,703546,595918,505492,-1,-1,359682,-1,-1,935481,-1,785284,-1,-1,765899,323275,-1,-1,-1,17300,586903,-1,113189,462035,-1,-1,-1,614612,-1,-1,-1,576940,-1,431859,-1,932756,322293,182315,850676,-1,-1,-1,-1,713500,-1,-1,247898,807646,685101,-1,-1,-1,-1,-1,361156,124129,251615,-1,69542,-1,-1,-1,-1,-1,-1,532300,476712,-1,-1,861543,879444,336667,307772,322339,344767,-1,77074,-1,543020,-1,577934,627725,824774,-1,668347,-1,-1,-1,761670,87617,-1,-1,-1,-1,-1,63012,-1,-1,-1,-1,-1,843959,663172,826656,-1,-1,-1,758533,-1,591463,114064,527816,-1,538366,3696,-1,269944,165902,130465,-1,-1,-1,-1,-1,-1,-1,370667,-1,75849,-1,722309,-1,-1,-1,226453,884914,608214,730504,-1,827137,84890,-1,432884,635979,-1,-1,-1,-1,243117,-1,826794,689126,-1,992362,-1,-1,406679,174474,-1,-1,256052,566425,995619,-1,104033,-1,-1,-1,222078,846931,-1,-1,-1,-1,-1,-1,424022,-1,878434,-1,150403,-1,-1,926996,620630,321330,-1,448001,-1,-1,640206,537835,-1,-1,487191,-1,-1,584709,176089,-1,557704,797011,-1,-1,651990,-1,348362,195980,-1,-1,-1,-1,-1,-1,-1,-1,-1,286319,665418,94782,961827,471895,-1,-1,-1,-1,-1,-1,-1,-1,468164,-1,-1,-1,-1,370764,-1,529080,-1,-1,-1,-1,120937,596513,340722,-1,-1,-1,-1,36053,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,875899,-1,255463,-1,409325,121472,-1,835630,220536,602340,102729,335604,-1,888838,-1,636488,531554,-1,714872,-1,-1,-1,-1,-1,980382,-1,-1,563175,-1,520340,-1,851983,823064,-1,-1,804057,-1,903746,41399,-1,-1,452881,463586,-1,-1,464769,669440,778343,-1,-1,567088,-1,567295,816091,637895,902730,354910,912316,705180,513175,301850,192769,-1,30140,978214,705505,461793,224953,-1,896459,287995,-1,585633,789497,940699,736022,-1,-1,-1,-1,-1,126256,548623,872216,-1,-1,531744,459034,-1,-1,99153,-1,-1,-1,-1,-1,887106,-1,437108,-1,585130,886858,134030,841035,-1,742314,477327,-1,341538,854715,887061,891759,-1,-1,90697,-1,-1,-1,185694,662956,711098,553912,307511,-1,352718,-1,79464,-1,902552,216413,-1,-1,561405,205681,-1,851628,-1,360988,-1,596417,-1,-1,-1,-1,462562,11590,440760,488149,151605,-1,253956,88957,531710,993020,-1,110402,87542,209060,-1,-1,-1,-1,837572,69771,279536,-1,719144,-1,409509,-1,437547,610706,-1,-1,13889,492078,818626,762422,-1,173528,934905,743541,-1,411385,86498,143772,-1,-1,406561,-1,127910,-1,899362,870386,-1,-1,-1,-1,-1,161161,787384,-1,106301,-1,-1,-1,-1,213997,523774,517569,-1,-1,237233,-1,-1,968143,-1,508426,-1,-1,-1,-1,-1,674336,-1,277349,884636,130757,562091,-1,-1,-1,-1,665067,686146,-1,861349,-1,-1,-1,-1,-1,-1,-1,-1,982196,-1,150468,-1,-1,7056,419915,36229,721002,503081,167651,-1,-1,333666,-1,796948,486237,-1,542930,584877,158437,-1,-1,510403,-1,-1,-1,-1,178596,234645,-1,624752,-1,-1,-1,928710,403066,672758,-1,-1,365617,-1,-1,159526,971367,162676,-1,-1,-1,-1,-1,-1,-1,-1,550515,-1,678064,-1,678752,-1,935739,-1,-1,-1,549788,197895,-1,-1,-1,-1,970356,509302,58152,502177,865835,-1,-1,-1,132364,-1,-1,-1,239275,313198,-1,-1,-1,577968,-1,953105,-1,-1,565618,-1,15860,734864,-1,494459,-1,381240,-1,849810,128614,-1,663632,-1,-1,-1,-1,-1,-1,106028,-1,279593,-1,194869,-1,-1,304924,230631,-1,745640,-1,981829,374971,-1,748260,702107,-1,387181,-1,469429,-1,-1,-1,247335,306202,225714,-1,-1,-1,-1,-1,-1,-1,304725,122955,582789,-1,-1,-1,919880,-1,288618,-1,315159,-1,440097,538096,-1,651685,557676,-1,625891,-1,-1,-1,636754,224289,-1,813060,496394,421073,10847,-1,-1,-1,817643,-1,-1,390738,231153,135658,-1,929337,-1,-1,800809,-1,-1,-1,-1,357327,-1,169112,-1,300867,604394,392934,500409,-1,13233,192316,876638,835365,582394,958059,-1,493064,-1,972799,-1,-1,672190,662101,-1,-1,-1,-1,-1,-1,-1,-1,733856,287687,742549,563492,163161,467116,-1,243322,489309,-1,166077,916419,358284,-1,-1,-1,20913,-1,-1,980400,893201,-1,906289,940215,-1,-1,-1,516904,893524,-1,724766,-1,-1,-1,-1,768077,-1,-1,-1,252150,308687,937304,471884,138767,-1,-1,-1,-1,-1,-1,-1,106656,334426,-1,-1,540390,-1,232360,-1,510572,357303,-1,-1,-1,-1,-1,-1,-1,4074,-1,574985,-1,-1,794100,-1,853304,906648,211526,770467,649785,-1,-1,697639,190381,168240,-1,-1,-1,-1,-1,-1,132438,145675,14434,-1,321776,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,759600,881513,379308,718466,199919,59384,7339,-1,-1,-1,203270,-1,801089,-1,-1,708031,-1,-1,749794,991274,912109,311733,14019,-1,189837,407499,-1,175394,813369,-1,906727,-1,83606,395641,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,235103,732936,-1,26566,-1,-1,-1,-1,-1,-1,744681,539333,676998,371682,-1,-1,-1,743591,-1,473409,641889,-1,-1,920819,786221,39182,627942,-1,-1,231660,792102,194898,-1,-1,722161,220436,274037,948246,162728,-1,250163,-1,532984,-1,-1,-1,901709,299861,133777,261205,-1,-1,-1,-1,-1,44009,74334,-1,-1,-1,-1,-1,653842,-1,98472,484547,-1,-1,953860,982475,473304,-1,770042,905625,-1,-1,544157,665391,38095,-1,-1,412728,-1,175345,795636,433955,6663,-1,233419,941212,-1,-1,-1,286968,-1,-1,854058,-1,-1,-1,-1,317833,-1,258509,-1,449673,28950,-1,644075,577372,-1,192416,-1,-1,-1,-1,-1,-1,-1,-1,-1,292849,211888,-1,-1,-1,-1,-1,978030,111628,287643,953473,1530,-1,-1,-1,-1,175946,-1,-1,-1,-1,-1,402227,35762,584287,-1,-1,645847,957215,202270,-1,938088,-1,363725,-1,-1,-1,-1,-1,547755,-1,-1,-1,684997,541762,-1,-1,122307,861248,-1,-1,904840,149230,-1,-1,480969,-1,251055,171348,563494,-1,-1,496389,-1,-1,-1,-1,200714,534707,-1,-1,-1,-1,-1,714127,-1,250957,-1,801264,-1,-1,346153,-1,-1,741628,-1,88153,154861,-1,524438,-1,817308,826991,146254,262434,780992,-1,-1,380227,-1,890428,650439,907619,-1,530406,942476,308371,432575,-1,-1,-1,132239,164056,-1,-1,-1,591607,-1,863995,-1,665749,846755,48022,420545,282739,877116,663831,824635,-1,-1,-1,483229,783776,51222,732097,-1,45599,-1,-1,220264,-1,-1,867568,194005,600986,-1,-1,109154,177461,829017,313074,-1,75733,-1,308146,-1,535283,325705,-1,-1,997708,892946,-1,-1,214116,3569,722839,-1,260153,-1,-1,-1,799409,181435,593098,-1,972651,-1,334994,325664,16771,-1,-1,-1,594870,-1,562457,-1,93323,710171,167392,517209,-1,914563,664,748666,-1,738395,534313,84731,48193,450770,373676,322327,551404,-1,235959,-1,-1,-1,-1,-1,-1,290149,681403,937853,169992,-1,-1,526897,392694,-1,605911,-1,717464,509852,871337,882032,306966,-1,92205,-1,-1,483272,-1,498198,-1,209077,65818,-1,82959,-1,-1,-1,-1,515280,818773,-1,639270,961716,532319,-1,4197,-1,111138,688198,-1,-1,600617,402031,871521,-1,-1,863693,463581,-1,-1,325295,-1,427051,888386,946406,511395,-1,-1,-1,-1,669135,190732,809608,672351,280121,-1,-1,581220,-1,966798,767537,218816,-1,-1,289950,89758,394459,65212,236098,161617,907150,-1,-1,-1,817046,476669,-1,504486,41981,466064,-1,166177,289469,-1,-1,196281,-1,462172,85938,-1,289145,979721,395410,714366,-1,-1,808097,427969,-1,-1,-1,-1,464446,144396,427376,-1,-1,919130,-1,-1,964563,-1,909317,-1,985656,472341,966901,435517,952756,-1,-1,678251,31436,-1,-1,853676,-1,-1,-1,27574,-1,251224,131394,508216,-1,-1,-1,-1,-1,-1,210366,149070,179824,775746,-1,273808,723473,890074,599731,75037,-1,-1,-1,-1,-1,-1,-1,81778,-1,-1,946589,-1,-1,986635,983359,905127,529502,206698,373656,-1,-1,451494,-1,-1,-1,-1,-1,-1,-1,-1,791540,-1,672465,635644,-1,407814,335847,623650,455994,945119,285949,-1,127340,-1,871467,756654,556563,346255,-1,177955,-1,97535,4295,624897,-1,-1,-1,245365,-1,-1,-1,586362,898255,838131,-1,-1,319271,770756,12858,272993,-1,986000,-1,596175,-1,503520,-1,568336,695359,876695,-1,-1,689074,-1,-1,-1,327713,-1,-1,-1,-1,638251,625322,-1,-1,-1,219163,111225,140833,-1,944380,-1,746360,-1,-1,-1,-1,581625,653064,911373,-1,886076,-1,691814,821986,-1,18914,368997,934818,756467,-1,-1,-1,528004,-1,-1,-1,642010,38462,-1,-1,897939,-1,-1,887923,-1,786140,-1,-1,906536,241683,857392,307048,-1,369612,-1,353765,-1,524210,-1,465521,-1,316405,714090,-1,863033,274266,757125,-1,68883,-1,-1,952151,198707,873499,398942,166907,378489,809721,-1,-1,9553,770597,23359,810245,-1,-1,-1,-1,-1,-1,-1,932240,525511,418450,140189,-1,-1,-1,-1,-1,-1,120757,-1,287015,138814,-1,697025,214661,-1,116865,-1,-1,-1,-1,107343,-1,231380,787859,651794,-1,-1,-1,653131,-1,556159,136061,632578,-1,-1,-1,700657,797532,828677,-1,898235,-1,-1,-1,16976,-1,242253,218490,-1,-1,-1,847880,93010,926492,888360,299486,-1,-1,884178,47181,614108,-1,648842,667592,-1,790001,-1,811892,-1,-1,805764,-1,-1,698204,85569,-1,45584,-1,573937,411563,276547,900533,-1,-1,-1,472519,505808,514163,826635,-1,447608,847708,-1,-1,514670,-1,-1,-1,-1,-1,680399,-1,246705,-1,-1,315331,-1,540416,376382,-1,-1,-1,-1,-1,227679,-1,-1,482107,-1,-1,870900,-1,-1,-1,-1,-1,-1,-1,560884,-1,-1,-1,-1,137557,860484,-1,248293,-1,-1,575729,-1,134278,-1,-1,688618,336928,-1,-1,718408,-1,-1,-1,-1,742656,369519,-1,-1,422891,22590,-1,658564,-1,974875,-1,-1,-1,-1,175706,836525,233485,40777,317860,-1,872056,-1,538111,855077,949580,-1,-1,513186,740017,694712,-1,442791,487173,336158,-1,-1,366045,-1,435105,678167,-1,-1,-1,-1,862201,37139,64886,-1,-1,-1,556732,-1,745538,966355,450495,-1,-1,-1,-1,98031,-1,-1,-1,-1,629381,804599,-1,-1,-1,29656,-1,-1,-1,-1,334418,-1,656080,568920,-1,-1,731439,-1,-1,-1,-1,-1,568432,-1,24828,487464,125444,231179,625964,666222,67701,656082,261160,-1,236160,-1,-1,555227,667160,898673,-1,-1,433812,912573,949439,-1,127773,200438,-1,-1,269247,58727,599477,884474,-1,235844,-1,620490,311849,756698,-1,-1,-1,-1,388994,87812,387936,565149,145905,756756,551585,-1,615330,371310,930342,129920,265285,-1,341634,-1,277244,32232,-1,978285,209541,-1,206453,-1,-1,327467,391274,-1,104257,481641,437822,-1,-1,79653,-1,-1,744933,96733,-1,-1,-1,212280,610815,-1,962746,908498,-1,-1,-1,160660,136372,-1,916096,195186,275742,-1,149317,-1,-1,-1,-1,815490,45467,376585,-1,-1,99728,330416,-1,-1,-1,-1,520561,-1,-1,19227,-1,457308,890488,-1,-1,546068,-1,785197,242094,-1,-1,839567,922979,-1,-1,69765,-1,111495,334523,-1,-1,-1,650825,353887,692632,468516,-1,-1,-1,740690,764600,-1,886074,77053,524383,-1,-1,-1,-1,351250,1070,-1,255957,-1,363653,-1,-1,836929,503235,735692,875551,-1,318115,-1,141958,762161,-1,-1,-1,309033,-1,-1,-1,-1,-1,-1,-1,602630,976050,512327,201177,-1,926789,844864,528575,-1,-1,695570,649082,886365,-1,587528,8166,626188,-1,-1,-1,752744,-1,-1,-1,-1,267655,-1,-1,-1,596546,-1,-1,-1,-1,316113,-1,856345,708860,651743,-1,655174,-1,-1,881413,154009,-1,-1,909481,984076,881896,-1,411624,459254,810777,-1,563320,728474,792469,-1,652114,-1,661058,808138,24913,514395,731520,192682,-1,-1,-1,-1,328814,-1,-1,-1,386595,-1,695523,891040,496477,21455,951357,862820,918233,-1,-1,67995,107810,-1,-1,-1,-1,119955,-1,-1,800148,-1,225223,697316,-1,-1,-1,521831,632515,-1,334742,381502,-1,-1,127323,-1,216199,-1,-1,955144,509014,142694,512568,744532,432599,-1,263982,645900,-1,-1,177102,-1,-1,-1,598157,205033,-1,411833,-1,-1,911489,-1,927176,-1,331172,-1,-1,-1,-1,-1,256678,44306,565057,967186,-1,-1,696942,-1,534177,677073,-1,-1,105855,199193,-1,-1,156369,646165,498816,-1,-1,50648,-1,653524,-1,824095,-1,-1,-1,205863,-1,-1,-1,-1,388612,179272,-1,-1,-1,400943,-1,-1,53315,373208,-1,190927,-1,164455,74567,577319,784381,-1,24947,-1,586696,894036,-1,-1,233944,390778,-1,-1,906087,-1,110991,320050,-1,286293,552438,267073,203084,-1,841327,-1,-1,-1,307019,994495,-1,-1,647890,-1,-1,508988,210999,257419,-1,688923,688367,85368,810613,594955,-1,535295,464709,148666,-1,662275,240599,910002,945181,604005,98451,758831,35067,784784,-1,788703,210746,-1,-1,-1,-1,-1,-1,320784,-1,-1,-1,-1,766965,-1,-1,630394,556018,-1,250735,-1,355181,437381,-1,891692,-1,-1,-1,856286,526757,190569,590575,-1,-1,-1,-1,648838,-1,532472,-1,-1,638683,408645,-1,171765,-1,-1,-1,-1,963101,-1,-1,-1,368095,-1,-1,720091,-1,-1,937380,297040,479129,-1,29981,556382,-1,127018,-1,539278,102066,-1,427373,-1,814445,395102,590842,14869,-1,937834,809920,947184,714933,-1,-1,-1,680062,-1,-1,-1,-1,-1,819416,-1,-1,365181,696181,-1,327694,220621,937134,-1,-1,805840,850682,114608,-1,-1,190415,-1,618290,640370,-1,-1,91298,633598,-1,630890,-1,642021,-1,797258,861854,-1,-1,-1,-1,624173,-1,-1,-1,-1,-1,-1,-1,615174,-1,707803,-1,-1,842830,-1,-1,571093,-1,-1,-1,471716,-1,-1,245988,-1,332420,-1,-1,53390,981681,-1,-1,-1,-1,938812,-1,188125,-1,320234,-1,-1,669796,-1,-1,471825,67894,-1,442450,-1,481192,724097,745651,912016,-1,587808,916113,183930,227545,-1,-1,939585,392566,-1,-1,934559,57205,-1,998002,-1,-1,-1,767469,98030,-1,539997,-1,-1,460974,-1,746334,-1,-1,777675,-1,-1,-1,-1,-1,597039,-1,-1,-1,428363,953240,254828,753247,815660,-1,-1,-1,-1,557941,-1,-1,616767,214236,-1,340389,18040,-1,-1,913662,-1,-1,849239,242900,-1,838261,994639,639598,-1,112158,837185,-1,511366,471288,800970,566417,322163,784392,-1,624483,291808,756588,223421,-1,-1,-1,-1,-1,-1,-1,955091,-1,740805,-1,241970,961258,-1,181202,-1,363167,139222,400863,-1,542600,-1,725989,-1,739534,512825,623327,-1,279752,112567,-1,-1,-1,757445,695228,-1,110082,-1,247216,454068,726436,670694,654320,-1,960011,-1,-1,-1,-1,-1,525131,156612,-1,28973,-1,874025,-1,-1,-1,-1,105037,287478,-1,886392,-1,-1,966917,-1,-1,-1,810512,521338,-1,794566,-1,-1,104428,201311,668405,-1,706853,-1,612931,102178,54681,-1,896690,348540,-1,-1,20131,893793,985048,417778,-1,588083,-1,-1,-1,-1,873429,666316,-1,218278,-1,-1,-1,-1,-1,-1,720657,895275,-1,-1,318276,-1,345510,-1,128868,-1,-1,-1,-1,84444,919574,-1,-1,-1,-1,-1,-1,6521,346981,-1,-1,151776,-1,230264,598884,-1,202873,436186,399989,-1,-1,615216,-1,-1,215056,881368,377693,-1,426199,-1,144824,544182,-1,219256,921179,-1,187990,-1,-1,-1,-1,-1,-1,864282,197221,-1,426755,-1,88630,-1,351544,-1,667998,-1,224832,-1,168402,-1,-1,-1,799622,45412,42911,-1,322105,-1,-1,-1,815939,-1,355431,-1,978647,-1,-1,-1,842187,665633,-1,299621,-1,-1,76552,-1,151543,438725,-1,-1,529011,243628,190666,505126,223331,524103,-1,-1,-1,708466,-1,117692,399829,-1,570742,-1,-1,482541,-1,801274,705613,8346,-1,25901,338555,659999,428627,833685,-1,386554,-1,-1,132055,-1,-1,-1,39832,-1,276095,707228,-1,-1,25837,-1,492879,-1,913677,-1,-1,959738,654290,-1,-1,-1,960052,-1,-1,648851,689138,-1,-1,-1,906544,-1,890191,-1,-1,-1,-1,-1,356659,993741,-1,-1,401993,-1,22419,-1,-1,69557,-1,-1,-1,708435,-1,-1,-1,191328,-1,169762,740579,281493,-1,478532,963852,645962,-1,-1,-1,939340,349718,733182,704268,-1,-1,-1,-1,-1,37952,487002,-1,-1,-1,-1,364396,685511,-1,-1,-1,-1,493521,688503,-1,522827,-1,-1,687932,434780,-1,-1,132998,-1,699727,-1,75633,-1,758468,-1,962466,-1,508186,-1,761164,468311,652087,-1,-1,-1,-1,-1,871315,586215,924150,292267,-1,-1,302125,485453,-1,116156,-1,-1,-1,-1,469456,293893,656108,-1,-1,-1,12162,-1,34416,-1,-1,-1,-1,860899,-1,264450,599929,807945,-1,-1,-1,828222,444975,-1,229002,821300,-1,-1,-1,502367,-1,538477,-1,-1,978289,855888,644452,607724,263911,-1,-1,362338,889830,-1,69313,556698,-1,-1,711039,223543,-1,-1,-1,469816,96098,49558,933349,-1,806702,-1,-1,-1,-1,-1,336993,883683,983761,-1,955628,-1,-1,949868,725378,-1,-1,985922,576740,-1,-1,-1,895579,-1,471319,-1,405527,-1,650331,-1,543089,592135,854885,-1,-1,-1,-1,964278,468014,-1,-1,334528,50490,-1,659800,-1,582711,175598,-1,51566,639302,622120,427466,279885,517410,-1,-1,-1,-1,171999,712588,-1,32621,385801,-1,998009,-1,-1,-1,32905,441131,-1,757028,-1,-1,701250,-1,130305,-1,633062,-1,881875,840241,333104,23769,-1,290619,508391,-1,-1,-1,345306,379604,-1,-1,-1,-1,-1,-1,140722,933583,-1,849265,198737,28163,537012,360226,994274,-1,-1,558122,29642,885339,-1,542564,526357,-1,841122,-1,-1,179378,687784,-1,-1,-1,-1,614673,105601,392124,-1,-1,-1,-1,-1,-1,708475,210941,920794,-1,-1,-1,-1,-1,-1,977591,-1,476174,55322,-1,400924,662382,721671,732771,536852,6412,116691,8257,-1,-1,713637,809124,684168,-1,-1,-1,519126,-1,-1,52124,-1,361063,-1,746998,-1,562132,70308,-1,60664,-1,883248,-1,146066,-1,-1,255204,-1,518177,177345,439519,65546,285262,-1,713755,513131,898007,464375,-1,645065,887728,297753,120307,678150,152221,679880,-1,-1,716415,501611,931081,-1,-1,-1,841826,-1,-1,261839,525016,-1,-1,-1,-1,881354,-1,55490,-1,-1,-1,272179,24878,-1,844605,209743,-1,95903,-1,-1,-1,-1,-1,997113,293149,840799,15043,251537,946789,408752,-1,429084,-1,-1,128710,-1,784941,-1,604789,-1,585745,-1,-1,-1,-1,-1,-1,-1,-1,362168,-1,576783,132412,-1,594980,-1,597324,759186,981865,88132,60065,638445,-1,-1,-1,-1,830342,689691,-1,575679,195611,-1,-1,-1,-1,292927,460503,243525,822717,108028,993011,117308,251924,-1,-1,90896,-1,380435,-1,571893,-1,-1,-1,246162,-1,-1,18546,-1,769874,23449,834060,-1,-1,-1,9857,-1,913213,128687,644870,-1,853170,-1,4152,-1,108056,61525,-1,-1,953477,-1,-1,625040,548489,554090,-1,107365,-1,107084,415080,-1,870353,985649,-1,999819,-1,-1,692321,-1,-1,-1,-1,-1,-1,2456,-1,716581,413282,33124,228399,619954,-1,201161,15797,861830,684990,554791,744622,568820,62023,-1,958514,502063,438740,-1,-1,689756,650718,-1,-1,-1,256102,215839,464535,97102,-1,893256,660049,-1,171768,-1,-1,559804,-1,-1,-1,-1,-1,-1,582561,-1,-1,-1,-1,595928,-1,-1,208738,477602,109762,-1,-1,23182,587704,481832,78507,-1,990122,699680,-1,-1,428135,-1,-1,-1,147508,-1,156863,130225,949250,809130,-1,810807,386857,861486,-1,-1,-1,-1,-1,-1,-1,236343,-1,936001,-1,507626,-1,346451,207686,173954,-1,533120,662950,511842,-1,474884,648516,403601,740096,298816,91462,89627,8531,-1,-1,910886,272968,197564,-1,260994,433423,256218,-1,979530,-1,641456,805301,-1,-1,559344,951225,-1,-1,-1,574358,729018,109357,-1,977531,-1,-1,-1,97763,63774,997734,617482,203363,311655,-1,633509,-1,905033,463293,-1,-1,-1,-1,-1,547517,-1,707612,279087,357643,751580,-1,660726,-1,-1,208702,383590,116102,-1,658897,746201,953035,130236,-1,-1,957655,622144,996609,-1,291967,657290,-1,-1,-1,199276,-1,306632,819651,484600,589621,-1,-1,-1,-1,-1,-1,-1,881301,-1,-1,-1,655538,-1,-1,-1,-1,123734,-1,-1,-1,131695,661925,258488,-1,171542,732957,680505,834471,-1,646348,-1,487207,-1,553086,736838,-1,-1,960255,-1,289329,398487,-1,-1,516456,-1,-1,775245,66172,-1,-1,-1,423165,192830,703707,373085,805691,-1,-1,846823,-1,-1,-1,979178,172422,710284,647628,768746,771196,-1,699660,-1,904121,-1,-1,917522,-1,823940,311395,-1,139613,-1,-1,-1,487999,-1,171376,992843,268443,26101,882253,-1,940933,-1,126323,-1,359434,-1,542894,941318,-1,-1,342340,96894,-1,453383,-1,93012,-1,-1,-1,-1,476322,-1,284087,351502,704148,-1,741456,134319,89535,-1,-1,-1,-1,-1,-1,-1,-1,31010,-1,-1,-1,80388,-1,600382,154893,-1,318221,612521,588204,380336,-1,946074,885643,-1,212772,195071,-1,34133,-1,-1,-1,557417,580250,-1,-1,787504,391549,-1,455877,-1,751770,-1,-1,605606,-1,600516,-1,-1,-1,-1,-1,53792,-1,-1,481703,766283,487469,-1,457688,682785,924071,938987,85587,342872,-1,-1,-1,307265,199233,782373,-1,-1,-1,-1,548081,-1,-1,403453,-1,574837,606949,-1,-1,-1,698868,786618,556760,288116,-1,-1,-1,587486,-1,719620,-1,-1,802115,-1,-1,202039,991353,-1,-1,-1,-1,516470,-1,883181,-1,77289,-1,-1,278654,203112,-1,659984,-1,981281,-1,932870,-1,-1,-1,-1,866981,454477,271655,153840,474917,60753,-1,-1,510988,601088,239266,-1,-1,716138,686412,-1,-1,450425,-1,569892,-1,-1,954992,-1,609060,388658,382372,286762,-1,357720,-1,-1,442678,391727,-1,211431,-1,289392,-1,-1,-1,-1,161370,-1,444863,571140,-1,-1,172250,-1,758884,781271,-1,393751,726373,-1,-1,898056,-1,-1,132455,-1,-1,541553,-1,44157,736642,-1,22728,-1,590342,-1,379612,664788,-1,-1,-1,-1,-1,288497,-1,511240,768628,-1,-1,249827,-1,190948,508043,891548,-1,544518,832741,-1,-1,-1,361914,661491,718985,236054,-1,4838,189121,-1,-1,-1,706545,-1,-1,-1,955660,-1,20623,813880,-1,151687,298737,-1,736124,691428,-1,-1,-1,-1,172955,164756,-1,-1,612006,417741,564483,793114,405453,-1,-1,-1,-1,38428,-1,184456,-1,-1,796201,206997,870603,-1,-1,-1,-1,278584,836825,319665,-1,745285,-1,-1,-1,-1,-1,-1,1318,464508,-1,-1,205586,-1,79433,495882,483450,-1,224752,-1,99594,649847,402419,37740,385651,963267,-1,953882,762879,914336,-1,736563,-1,743907,535360,-1,743699,-1,-1,419705,-1,-1,-1,-1,-1,814025,-1,837954,-1,-1,952105,-1,220575,-1,-1,870281,-1,414615,27386,-1,-1,25085,466873,-1,982424,749007,200327,-1,-1,567946,487116,-1,92558,844091,-1,-1,959193,-1,169769,-1,-1,-1,-1,764519,685568,-1,717839,216127,-1,238139,-1,-1,-1,-1,-1,-1,160469,147758,-1,-1,369546,776381,-1,378098,437792,722275,173780,-1,-1,559643,-1,-1,-1,381557,839892,-1,552457,146206,-1,610620,231668,-1,-1,176821,44921,-1,-1,-1,361757,77575,681218,612312,-1,761370,748156,405569,734796,-1,-1,-1,-1,700816,-1,138940,343732,-1,-1,-1,-1,418326,127917,-1,-1,406583,61333,340705,-1,-1,-1,580752,995164,-1,-1,-1,317597,-1,-1,-1,-1,694608,304350,712207,587684,-1,-1,545718,48484,207590,-1,-1,-1,-1,766699,346688,541686,-1,-1,217480,884366,-1,-1,-1,-1,-1,879938,513290,321127,-1,-1,435000,-1,871640,-1,52506,-1,-1,740387,773299,542055,-1,585871,-1,-1,978320,-1,-1,96169,-1,-1,419205,-1,-1,194702,979246,961590,44704,367125,410409,-1,845376,776932,-1,-1,-1,892039,414409,-1,684383,137578,-1,350586,-1,-1,888679,-1,-1,-1,880079,-1,-1,689300,-1,-1,762935,-1,-1,-1,-1,559723,815245,-1,-1,486381,667839,-1,345501,-1,-1,843895,-1,-1,-1,-1,264081,473759,-1,829302,-1,92812,478608,960839,-1,-1,-1,-1,-1,846928,-1,302701,-1,100006,-1,-1,-1,-1,-1,162570,760745,909763,-1,-1,583445,-1,582551,975143,753640,798470,518631,-1,-1,-1,-1,-1,-1,549094,-1,-1,265162,-1,234346,-1,-1,593941,-1,-1,-1,-1,-1,106319,-1,436907,-1,977082,562090,657880,434397,334492,951608,81238,66552,-1,-1,-1,-1,102204,-1,79198,910774,-1,262837,599173,8575,-1,504995,190705,-1,248394,64662,-1,114013,-1,12247,-1,693840,-1,71027,-1,-1,690232,110033,-1,-1,-1,91061,-1,-1,-1,804412,-1,70884,-1,-1,-1,427495,424979,-1,-1,432998,-1,66647,517453,568644,969303,-1,-1,-1,-1,877642,-1,-1,64173,627556,842732,-1,686029,-1,-1,-1,-1,-1,-1,897418,-1,-1,897207,-1,561176,-1,592620,-1,-1,-1,35258,-1,57235,-1,-1,-1,-1,-1,839687,-1,114859,220271,-1,447520,-1,912459,609437,-1,-1,791894,430150,340980,832701,-1,-1,-1,363970,610012,-1,246692,-1,951999,-1,708149,197335,81793,-1,-1,-1,40485,464882,-1,995357,-1,937075,486809,490676,37146,-1,290653,376807,395459,-1,-1,-1,-1,760211,-1,-1,110897,-1,600703,-1,739854,587310,794182,671600,-1,-1,857663,-1,342621,-1,60809,748,-1,548808,-1,-1,-1,-1,57019,-1,-1,527062,-1,-1,-1,-1,-1,-1,-1,-1,913448,-1,912549,-1,766433,887119,-1,-1,-1,-1,-1,-1,-1,-1,459699,677986,-1,-1,-1,-1,394877,-1,132531,950260,123786,595261,777631,110689,-1,-1,877789,-1,972388,-1,264700,294306,333928,249275,435191,-1,-1,693987,767973,840873,327160,959570,-1,-1,-1,193828,-1,879221,-1,116589,666019,-1,-1,99171,410943,-1,-1,590189,-1,-1,331387,581001,453666,-1,131665,-1,457163,-1,-1,390812,723507,-1,-1,-1,-1,-1,-1,520351,832843,-1,-1,-1,183272,908054,-1,478920,655198,509516,103705,426895,912175,988518,158287,-1,-1,306332,661426,324864,78002,707993,376510,648674,-1,-1,-1,-1,808741,504362,898834,-1,832255,733788,-1,153317,856188,978136,556641,786832,-1,-1,-1,96535,-1,163994,729988,-1,859455,-1,-1,-1,-1,735478,-1,-1,-1,-1,610007,-1,462791,896255,283965,-1,-1,-1,-1,850620,340602,590408,-1,915726,640945,183743,98271,-1,833748,789343,-1,-1,-1,-1,890834,616485,78694,-1,-1,-1,-1,300539,-1,673674,-1,-1,-1,287143,-1,-1,843665,-1,993527,952702,-1,377863,182248,593310,-1,-1,-1,388027,106956,-1,173219,-1,181928,779081,568783,-1,-1,-1,-1,-1,-1,433570,68595,-1,679223,945668,497003,-1,-1,975958,997533,752761,-1,-1,493141,941711,-1,-1,-1,292562,426845,800198,501058,448459,-1,-1,548116,327173,331876,87293,-1,-1,549155,330716,-1,-1,-1,74789,-1,936682,825931,-1,-1,-1,284883,-1,94235,35749,287205,-1,423856,-1,502581,448812,-1,-1,752552,684293,784653,283388,-1,-1,-1,-1,983217,126394,-1,448416,614922,-1,-1,-1,-1,117736,-1,561054,-1,211776,-1,-1,876523,544902,-1,460257,-1,887411,448856,76173,389271,537126,-1,801436,265254,-1,-1,-1,181288,-1,897840,-1,-1,-1,737773,261235,-1,880167,-1,56842,-1,24739,80552,-1,-1,-1,-1,777741,-1,695869,286439,-1,-1,-1,-1,-1,-1,-1,610553,-1,-1,-1,594818,653918,210966,639081,886570,291823,259103,-1,914497,-1,347782,-1,966989,270622,-1,303757,53657,482412,432380,705461,-1,-1,-1,-1,-1,-1,-1,329348,-1,150594,138755,-1,-1,-1,-1,855605,-1,693013,-1,806050,130117,-1,-1,-1,-1,-1,-1,-1,300490,-1,214749,550343,-1,-1,-1,-1,702746,-1,554562,798377,77453,-1,589844,-1,-1,274171,758197,661203,-1,-1,880256,397807,-1,-1,-1,-1,-1,-1,524047,34214,-1,973225,-1,137504,-1,12440,-1,-1,-1,489865,-1,-1,319970,305950,-1,741349,142537,-1,4114,-1,-1,271038,-1,-1,-1,495443,337116,403456,-1,-1,-1,911786,771684,682548,-1,875596,937447,-1,892007,-1,-1,-1,395887,-1,713570,-1,-1,-1,429250,805554,22525,148144,-1,-1,800903,511452,481230,398875,-1,735382,768756,621010,-1,-1,741640,-1,171120,-1,-1,-1,-1,801182,-1,-1,-1,-1,-1,183067,-1,-1,-1,677959,994898,-1,-1,970052,-1,-1,-1,726066,313404,-1,-1,-1,384694,-1,401324,-1,969007,-1,909375,-1,137252,207750,874854,430454,-1,-1,948342,494530,-1,-1,-1,-1,309890,-1,718860,-1,213916,145070,-1,862959,-1,874062,-1,-1,-1,825714,688277,176368,343208,-1,976308,-1,-1,438127,-1,-1,507224,-1,-1,-1,-1,891117,-1,-1,-1,739872,521180,-1,-1,465146,28223,-1,847339,57491,242010,589692,918435,829274,-1,-1,-1,-1,25405,425863,476651,105966,-1,-1,290164,-1,-1,-1,94672,244336,19907,-1,110386,-1,149583,-1,-1,-1,759581,947192,373499,828536,-1,-1,318608,410464,-1,-1,-1,-1,-1,-1,73144,-1,-1,-1,349219,740391,-1,387075,126003,-1,982140,124299,607863,-1,-1,496988,-1,854248,-1,143696,497768,-1,-1,994738,918788,91355,-1,-1,438786,110447,280253,80582,359527,12126,-1,210539,-1,731475,920427,-1,-1,142267,514050,-1,-1,-1,-1,-1,610382,-1,841921,-1,-1,631057,-1,592520,101928,-1,533630,-1,-1,255983,-1,141732,-1,432742,972962,-1,-1,-1,-1,932479,-1,377129,-1,250236,-1,917721,985897,480004,-1,618072,-1,-1,34559,-1,-1,462853,-1,699139,222061,194452,-1,-1,-1,893911,-1,562643,994099,465380,691800,485061,-1,-1,645341,238751,31346,616787,-1,678550,320593,229168,-1,-1,-1,-1,-1,714432,309212,-1,-1,-1,-1,-1,271394,403539,35769,253645,-1,259712,988538,268472,-1,393500,654628,-1,882483,938288,-1,905661,-1,306896,868553,41143,689536,-1,-1,-1,-1,-1,-1,-1,-1,-1,200056,-1,-1,113943,-1,-1,-1,403952,653669,-1,-1,-1,503941,92822,780720,182020,164021,-1,-1,-1,-1,-1,868870,780630,-1,-1,-1,846918,-1,540789,-1,154171,481298,-1,-1,-1,-1,-1,-1,-1,919770,-1,249330,621209,89149,590979,260839,894253,152066,296,-1,-1,736232,-1,-1,768614,885940,890252,-1,738415,-1,183230,-1,-1,169779,534234,-1,310300,-1,884579,110882,489933,-1,212010,-1,-1,-1,-1,371313,-1,933592,382538,357168,-1,583431,-1,-1,332207,529791,58491,168144,-1,371968,-1,-1,810100,238767,117834,-1,-1,-1,618813,742535,-1,-1,467033,243719,-1,-1,625073,497546,469018,-1,530589,-1,-1,-1,-1,-1,-1,571458,-1,186493,-1,-1,428299,-1,306901,-1,-1,-1,530620,-1,-1,567347,890121,31202,-1,23568,-1,-1,661016,-1,15229,51327,805189,-1,-1,411896,-1,-1,-1,-1,315451,-1,830482,466801,102197,-1,396352,896970,992429,91484,495251,-1,-1,-1,110936,-1,-1,-1,-1,-1,-1,-1,-1,-1,325183,-1,129363,778825,-1,-1,-1,157511,-1,205203,-1,-1,-1,-1,805104,776492,266220,538015,25121,591854,132071,698362,-1,569474,119451,-1,-1,352096,-1,-1,-1,-1,-1,-1,-1,487410,-1,164050,399741,-1,434566,-1,-1,-1,18786,352106,309880,-1,300393,692705,-1,-1,-1,207357,294886,-1,117999,214613,499575,461657,958424,576407,909859,255284,-1,-1,-1,-1,-1,-1,-1,260528,-1,-1,-1,870322,-1,-1,992822,-1,-1,701065,-1,-1,-1,-1,-1,-1,664219,498015,461428,448133,-1,488563,-1,-1,-1,433633,548650,-1,-1,116628,806654,302784,454884,-1,69628,75486,836498,-1,247887,-1,-1,375918,-1,-1,-1,789491,759431,295881,255104,-1,41751,515437,380179,120071,937419,-1,767721,289132,-1,-1,-1,-1,925750,-1,441411,585897,162432,-1,-1,300171,225226,-1,378778,-1,-1,590884,489009,953039,-1,744203,739611,-1,433451,-1,843626,704269,832101,13380,-1,-1,-1,-1,-1,-1,956224,-1,633422,-1,498516,-1,671462,-1,820084,986822,-1,594961,-1,344703,615961,280131,-1,-1,-1,982904,364328,-1,-1,-1,-1,717094,622321,356149,-1,-1,483933,-1,-1,-1,-1,36711,206212,-1,376479,-1,-1,716458,739790,491442,840013,938861,334180,650244,216827,-1,-1,-1,-1,-1,-1,406128,-1,529299,-1,-1,-1,964983,-1,-1,151404,-1,226266,223106,-1,-1,-1,247764,514560,-1,588371,661691,-1,799795,-1,286588,-1,-1,-1,-1,-1,-1,-1,264178,308513,559083,199904,-1,-1,-1,411422,161640,-1,-1,191862,99096,-1,56390,-1,-1,857161,-1,-1,-1,367805,161562,-1,196426,412747,-1,-1,4076,947545,646427,-1,-1,-1,-1,520550,794399,-1,-1,-1,935949,706110,584702,195910,-1,241879,676096,-1,249678,830973,-1,-1,252416,-1,-1,34171,796170,-1,807935,732248,89629,863224,582290,214984,766538,-1,-1,-1,728720,-1,415571,-1,572074,-1,-1,331054,907389,-1,-1,335627,-1,-1,-1,-1,456270,-1,477376,-1,-1,615711,-1,-1,-1,-1,180661,304116,943952,-1,-1,502797,-1,682014,479885,-1,208351,121408,171639,840599,268204,-1,-1,225590,-1,-1,-1,26380,364747,-1,-1,352336,254801,-1,558725,-1,167848,-1,869087,963887,150410,-1,84610,194241,-1,547718,425532,-1,94697,-1,-1,907700,886594,-1,-1,785493,-1,531736,-1,-1,-1,-1,37158,841529,-1,387190,-1,-1,723273,761358,-1,-1,306116,628633,-1,-1,898399,787877,-1,-1,286023,-1,-1,-1,-1,-1,893638,-1,-1,-1,-1,-1,140835,-1,475004,392218,131706,570753,913255,729374,-1,-1,819104,216487,-1,-1,677304,-1,324222,-1,753473,-1,-1,-1,-1,733476,-1,-1,82902,-1,76693,-1,-1,69748,383474,678777,-1,935406,563244,-1,307145,269454,286967,498292,211891,905333,696453,158586,-1,881053,623432,-1,562306,-1,875455,540082,-1,886100,810355,654650,-1,-1,97961,-1,-1,247675,-1,941762,-1,273096,-1,759791,-1,-1,450117,204813,-1,-1,-1,548483,356240,226109,262592,610641,-1,515079,141228,-1,-1,-1,755685,-1,-1,262167,766527,130517,156067,745970,757253,260351,381017,554615,540361,-1,-1,-1,-1,-1,481531,-1,-1,-1,995645,290088,472006,83481,-1,72163,603213,472766,-1,-1,992494,-1,-1,748149,-1,-1,-1,129671,199460,-1,-1,-1,-1,-1,257987,512255,-1,-1,786758,-1,392919,94321,763500,-1,87401,-1,627,220532,-1,-1,334854,-1,733260,625909,488847,171416,1609,661362,-1,740907,-1,-1,299340,468959,-1,-1,-1,442391,817120,691642,-1,-1,263476,323363,-1,-1,-1,71049,-1,897699,367042,-1,-1,-1,601365,-1,668801,-1,682007,-1,-1,-1,-1,-1,956923,739709,848133,947752,-1,261404,35764,-1,-1,59920,840933,97531,-1,284196,248883,794003,615445,285621,-1,855392,-1,-1,-1,672706,-1,667683,-1,-1,53334,-1,-1,162370,621557,-1,-1,-1,-1,-1,-1,81567,511525,588504,-1,93638,979529,-1,-1,-1,192180,-1,728532,461534,-1,-1,-1,-1,634167,-1,-1,-1,67011,-1,213410,-1,848554,-1,-1,590534,-1,779018,-1,-1,251609,-1,301172,-1,-1,-1,109115,858864,814683,-1,-1,-1,379340,707164,521089,322969,218585,-1,-1,-1,-1,-1,665554,-1,472033,870638,208542,-1,52947,-1,325242,540642,-1,-1,657787,-1,-1,-1,-1,-1,639336,-1,943612,387403,492314,-1,497261,-1,-1,647038,793521,305244,-1,-1,753388,-1,-1,909235,-1,658931,200543,-1,-1,735044,400393,327830,-1,-1,-1,919180,-1,943505,84531,-1,-1,285324,-1,-1,598066,260901,-1,-1,456854,-1,107937,-1,353023,717424,-1,63481,443385,-1,-1,427280,-1,156606,-1,111020,-1,-1,126329,976175,550948,-1,789263,632254,519470,470264,819163,848691,186396,-1,814914,384528,-1,91419,-1,886443,51285,-1,-1,461506,891648,-1,315475,634909,651524,240562,569776,-1,-1,-1,910600,-1,-1,-1,-1,574030,-1,-1,-1,-1,-1,743107,816451,78555,365863,-1,991243,-1,-1,-1,285271,-1,-1,123837,726098,-1,-1,-1,-1,-1,-1,-1,-1,993728,378252,-1,385566,550282,11532,-1,-1,-1,985370,653961,-1,950962,-1,-1,-1,-1,-1,252036,-1,-1,426043,-1,-1,144458,553780,228903,-1,-1,783204,-1,214406,-1,-1,870739,892582,-1,225364,165378,-1,-1,732372,88487,-1,-1,503471,911515,-1,-1,857138,187483,635486,-1,-1,-1,-1,-1,525339,-1,369363,-1,201642,-1,-1,-1,382203,850723,267247,-1,-1,-1,179418,-1,992083,-1,-1,259809,794582,-1,-1,187001,-1,-1,-1,53314,103386,-1,-1,657775,-1,-1,478025,-1,733116,-1,-1,371100,977559,253222,40862,-1,-1,217608,-1,324468,-1,-1,-1,-1,-1,-1,723480,-1,-1,-1,-1,-1,-1,-1,414659,-1,-1,224776,-1,-1,-1,351481,641304,-1,-1,-1,240247,-1,-1,-1,814640,-1,124069,-1,-1,-1,928112,156268,266308,496380,366484,-1,-1,-1,-1,648868,-1,-1,399845,52240,922182,409790,-1,877230,269883,-1,626840,459298,-1,-1,-1,-1,358515,641895,-1,-1,-1,-1,-1,-1,379001,-1,168042,-1,-1,-1,737153,875424,-1,945865,-1,-1,-1,-1,387895,-1,-1,-1,-1,-1,-1,-1,-1,289479,825283,-1,-1,931720,661077,-1,-1,240348,741865,-1,-1,70091,285843,-1,772461,249598,-1,-1,691592,545890,62724,-1,335810,-1,718332,-1,-1,429909,-1,-1,95044,843855,-1,-1,-1,-1,498577,-1,906224,55496,705086,-1,-1,865770,378372,524281,209612,-1,210891,-1,-1,-1,-1,604318,217336,508895,-1,-1,946771,-1,808780,-1,370489,449972,-1,-1,209643,-1,226213,-1,189674,938203,-1,18592,-1,940075,666483,-1,-1,-1,-1,972185,896087,252719,681332,-1,-1,-1,-1,281793,-1,-1,957942,404717,-1,-1,-1,595426,613042,-1,-1,693966,-1,-1,464652,451704,978920,-1,-1,526130,249487,230636,-1,30162,5657,-1,715390,737696,438166,-1,-1,384127,952675,-1,886053,-1,692855,45257,310010,-1,49027,922935,-1,-1,-1,431416,-1,727580,-1,-1,-1,89275,908554,992633,613748,-1,508009,-1,-1,-1,118407,518643,284984,736299,173502,347344,-1,-1,656872,-1,569775,-1,-1,664790,770411,23883,-1,130707,-1,35618,614381,342466,574376,-1,-1,890199,73548,-1,980971,-1,586038,877786,163092,-1,133972,776663,71117,690191,101740,299996,992481,-1,-1,139856,-1,339739,681948,-1,-1,-1,632826,674522,-1,-1,-1,591191,445708,-1,150962,-1,-1,-1,131880,-1,-1,-1,804212,-1,527860,-1,272425,619752,-1,-1,963187,663027,30270,907128,305968,-1,-1,-1,67093,-1,-1,-1,-1,-1,-1,329016,-1,344937,-1,-1,16505,-1,916486,-1,334737,108520,-1,-1,-1,-1,664384,480725,801129,386797,-1,494135,213035,-1,423538,756703,-1,-1,812372,-1,-1,-1,-1,-1,876725,203923,-1,514263,533403,705471,87303,727030,-1,476974,737479,741431,-1,-1,463173,-1,-1,914213,-1,967490,46027,-1,-1,-1,877558,367365,950471,-1,-1,-1,427998,643114,-1,194682,373736,-1,284684,-1,-1,-1,646586,363831,734514,-1,796217,-1,405194,179624,-1,298631,764270,397831,-1,-1,213884,206206,958168,362127,577806,662569,919110,-1,-1,-1,250456,-1,789142,-1,-1,-1,390273,-1,931857,764421,-1,95505,-1,533536,157545,61486,-1,582062,-1,-1,330754,-1,-1,-1,-1,516566,-1,19612,-1,-1,283525,339976,-1,414476,461505,595365,869020,869716,-1,-1,313760,812162,-1,-1,45266,-1,566077,-1,163563,-1,-1,-1,433128,-1,459362,368490,807408,5479,770450,986596,-1,298469,67287,116553,-1,-1,575866,200842,471934,-1,481268,-1,-1,300789,-1,986083,-1,-1,221633,459054,-1,-1,619671,303404,522174,-1,-1,622489,247865,248015,-1,30513,-1,324590,391233,966354,-1,-1,528922,290284,-1,-1,719734,15580,-1,-1,-1,30139,793314,-1,-1,-1,684406,78628,-1,-1,393239,85041,-1,-1,59775,-1,-1,-1,-1,-1,811643,-1,389859,917428,-1,-1,753778,157116,224116,685694,-1,-1,-1,829449,-1,-1,637040,-1,-1,342072,-1,727675,216975,146592,908010,934041,713411,452144,451397,299370,589680,271754,-1,223538,532989,-1,-1,410115,-1,-1,494214,-1,-1,283213,-1,755487,369881,-1,823674,-1,-1,344199,-1,-1,199799,-1,429626,-1,649780,202820,261876,-1,-1,360857,38285,-1,-1,-1,-1,592348,-1,606400,190715,969554,-1,-1,-1,437618,905912,-1,834285,252409,149187,-1,-1,85227,-1,233135,-1,-1,-1,49772,-1,-1,-1,-1,495461,219842,675830,-1,-1,-1,919858,-1,-1,704917,-1,-1,720872,-1,11339,-1,345853,-1,-1,-1,532806,780639,-1,849597,-1,-1,123573,-1,393035,525320,-1,970696,720264,-1,-1,-1,-1,-1,475096,-1,-1,-1,-1,150753,462531,50377,-1,-1,-1,906587,511859,409577,855305,275422,736108,-1,-1,871080,-1,977129,-1,612927,-1,430348,-1,163703,271219,631219,-1,-1,79867,-1,617705,-1,749531,-1,-1,871257,946023,-1,-1,773229,367066,593290,-1,660769,697013,-1,647310,594107,-1,-1,-1,-1,369343,979254,-1,-1,231162,749633,965954,-1,-1,730298,459643,899304,269201,799448,538139,-1,-1,349690,-1,-1,-1,-1,-1,481249,751546,940597,-1,303290,-1,-1,171123,-1,403604,-1,821083,421778,-1,934490,-1,-1,-1,585330,213198,-1,36498,464584,622170,-1,-1,-1,235562,-1,-1,12742,597854,-1,-1,-1,-1,11491,-1,520431,-1,-1,368165,865438,-1,-1,-1,481590,-1,-1,-1,222958,703916,960102,-1,684014,-1,933783,873713,-1,462926,913323,609107,-1,34385,277211,-1,-1,39282,-1,-1,970664,529045,831003,983847,333832,-1,-1,-1,-1,-1,-1,-1,-1,514132,70897,-1,-1,-1,-1,-1,753518,250398,-1,198545,-1,748235,265432,-1,-1,-1,-1,226856,215676,-1,-1,23641,35673,95941,-1,-1,-1,184418,-1,-1,-1,840302,999165,737308,-1,261236,-1,968218,-1,-1,944841,647291,-1,-1,608083,874819,359126,419903,41126,-1,89180,-1,-1,-1,-1,-1,-1,74962,-1,-1,-1,214760,-1,655434,-1,-1,904469,876650,436879,-1,-1,735564,-1,158484,-1,-1,690848,762131,-1,-1,-1,726364,-1,-1,-1,736630,-1,-1,421974,-1,211631,-1,-1,-1,-1,247924,-1,85937,945960,-1,-1,43108,412550,-1,398002,197669,33679,497761,83548,-1,129297,818901,-1,-1,808611,136202,14535,-1,23824,-1,-1,332922,135873,-1,-1,-1,-1,843924,840209,-1,999533,380223,-1,-1,-1,-1,933053,380003,-1,618581,-1,-1,-1,793162,-1,-1,153110,533007,-1,-1,-1,-1,348280,366637,804190,873315,753462,-1,-1,-1,40912,199059,-1,420235,363274,214849,-1,-1,-1,374462,936830,302338,-1,-1,-1,-1,860660,145610,-1,814133,851300,-1,39253,-1,304527,536033,381798,-1,802600,-1,-1,-1,101913,-1,-1,-1,717417,135785,-1,480533,-1,675500,-1,197907,-1,-1,653883,-1,-1,-1,-1,79442,-1,464148,337037,-1,-1,461695,468022,133453,-1,-1,693347,-1,360274,-1,117076,344470,381060,262968,879558,-1,-1,634769,-1,578178,947470,210312,-1,689791,-1,-1,-1,-1,-1,282700,-1,-1,-1,308527,653094,402884,-1,-1,-1,-1,29181,-1,314561,-1,-1,-1,-1,-1,849662,-1,57691,-1,-1,968031,980163,-1,-1,-1,-1,-1,391091,-1,-1,195598,307196,689723,947086,-1,-1,-1,443413,-1,-1,-1,-1,17020,-1,-1,266270,884307,-1,-1,-1,500456,363475,-1,682977,341738,-1,787226,992019,589352,92500,89787,-1,-1,-1,740822,-1,-1,783620,572853,-1,-1,48083,81865,390257,720784,977885,824538,-1,-1,-1,424649,289496,444014,-1,167613,-1,-1,-1,-1,839053,953134,775405,-1,-1,-1,-1,669577,262220,247697,133087,60826,-1,8589,-1,-1,-1,-1,-1,251769,-1,561404,-1,236488,701699,-1,-1,-1,728203,-1,-1,21857,727966,558461,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,347842,-1,-1,-1,254827,190735,-1,-1,608575,602189,-1,-1,458239,119761,970415,-1,295178,-1,-1,-1,600563,703860,-1,151297,606688,440275,385554,344414,266563,591891,-1,616807,569006,-1,208771,-1,632687,725802,-1,-1,125679,-1,80888,-1,676738,-1,-1,479479,518816,-1,119948,-1,-1,-1,957099,931197,581095,518316,-1,-1,651546,16614,942162,779751,522311,-1,640099,-1,-1,-1,-1,132022,-1,473056,-1,903545,754649,-1,396120,-1,-1,-1,-1,563250,-1,303582,-1,95934,-1,-1,359565,325362,-1,-1,-1,-1,59937,382160,-1,-1,588118,719846,187623,72467,-1,-1,304124,13979,380768,888033,602096,197396,939970,889350,-1,-1,136941,-1,-1,314532,648580,295427,741878,363659,-1,-1,598446,-1,990207,-1,641546,-1,119562,585416,386424,512336,825009,582433,483060,-1,561831,295270,-1,323213,70870,814292,-1,-1,212476,569345,889325,979656,297094,475759,-1,580559,-1,-1,-1,-1,-1,-1,-1,-1,-1,642979,214449,108622,321209,28912,-1,69423,-1,-1,546229,117319,49837,-1,168093,799998,-1,-1,839868,-1,-1,950078,311455,-1,-1,963579,807186,926928,925993,-1,152186,438353,870780,-1,540293,776708,-1,51799,-1,-1,-1,271636,572465,-1,-1,-1,53201,452862,-1,-1,-1,-1,-1,-1,-1,-1,862436,-1,-1,-1,-1,617108,386168,707101,-1,751968,-1,-1,379236,650048,482268,447452,200012,490415,-1,899942,71231,-1,-1,415185,463355,655834,481868,-1,-1,-1,-1,-1,135788,503869,178839,438935,-1,-1,46548,657234,446244,410204,-1,-1,590866,119114,213109,343423,-1,-1,-1,-1,-1,-1,-1,-1,935443,130253,774852,-1,-1,541018,-1,-1,674949,-1,748668,6892,-1,236535,-1,645351,420991,-1,-1,734701,427582,274878,412277,992954,-1,-1,669387,768469,157161,921651,451883,30200,-1,-1,-1,-1,535051,456035,585951,217541,492175,-1,692770,848401,-1,990964,-1,441120,49396,-1,109330,-1,332102,994149,-1,-1,113953,804782,-1,-1,14406,-1,-1,685503,-1,-1,-1,605001,-1,-1,77216,121921,385773,683609,499554,21149,524185,91542,-1,428203,547888,-1,-1,200533,-1,180711,528118,-1,9396,-1,80648,369025,850276,-1,774744,92010,961314,508528,-1,-1,56424,474288,734890,-1,305579,712686,846249,-1,-1,3182,-1,-1,88272,785659,448281,-1,572440,828632,540882,226689,116219,454010,497206,797484,697857,-1,373724,-1,325078,140201,-1,-1,478670,278432,-1,-1,-1,530730,460258,395115,-1,920750,570488,955061,817074,-1,238684,-1,524866,-1,762389,510682,778932,-1,802724,650327,-1,-1,-1,-1,-1,-1,520381,183086,573801,271245,-1,-1,-1,972965,-1,-1,792935,923710,277344,-1,244961,923534,-1,-1,-1,-1,-1,751284,753455,-1,680611,48675,959868,906981,631148,575337,259789,585167,934477,-1,-1,-1,457737,188035,-1,-1,676069,524796,417867,8190,-1,508402,797302,-1,139964,-1,782402,-1,516640,214675,16403,-1,-1,44608,790249,-1,980675,251079,-1,264424,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,230939,991813,849703,-1,978705,942664,360514,-1,-1,470703,474338,753352,505658,-1,-1,831656,-1,701511,-1,-1,838946,475196,65458,-1,98931,-1,911431,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,877702,-1,-1,-1,384391,879146,-1,-1,913869,-1,-1,-1,200749,-1,656837,628404,-1,-1,804061,-1,-1,691810,-1,-1,323076,712489,-1,-1,-1,-1,715868,-1,-1,204004,-1,789287,-1,388964,-1,-1,957616,638800,383820,71295,837928,-1,506885,167869,740416,635267,967847,812648,873160,-1,-1,-1,-1,555919,686929,-1,10915,855366,506732,-1,992622,-1,391764,674096,189620,-1,10126,658463,-1,-1,-1,-1,-1,-1,-1,14593,-1,322411,532275,-1,726524,-1,-1,-1,385107,-1,838526,-1,-1,603217,545876,-1,-1,-1,-1,-1,-1,557271,-1,-1,472849,428919,-1,41899,194288,-1,139417,-1,966765,-1,-1,243585,389213,409782,577582,-1,-1,775414,573269,985913,345597,492253,686225,542235,632725,856558,111689,-1,-1,460185,-1,-1,644141,102826,-1,303530,826910,971510,566150,-1,892181,245992,890629,564551,-1,-1,462949,-1,453276,-1,-1,-1,762714,744490,895187,536926,-1,445549,513686,629134,205653,-1,621464,204384,199625,-1,567398,-1,-1,-1,174683,-1,-1,420253,-1,978412,501841,122414,-1,-1,-1,-1,71401,583601,929646,-1,-1,-1,127848,991672,-1,-1,-1,267454,581867,-1,-1,-1,-1,25548,595568,692466,396558,388270,934846,330628,-1,-1,169123,490778,-1,-1,995419,-1,933103,879222,-1,19315,228917,368134,-1,146510,-1,779481,-1,156140,-1,103374,743061,-1,-1,-1,876401,-1,-1,25268,866081,-1,62494,-1,789063,751688,-1,-1,-1,-1,578524,653838,322458,418320,283105,418458,-1,-1,608325,-1,-1,14832,342006,774475,650169,573553,483368,266192,-1,-1,-1,-1,32096,-1,707469,234192,-1,-1,623891,-1,-1,-1,789696,-1,779209,50346,-1,580791,-1,-1,-1,594325,212698,47013,-1,-1,-1,94350,-1,728886,712613,-1,765171,750335,-1,364553,-1,215978,-1,-1,-1,-1,891652,260132,-1,996031,-1,-1,-1,-1,217386,-1,597658,-1,996152,394955,-1,659665,613086,266683,-1,-1,-1,316689,-1,772631,-1,-1,-1,493888,206191,898403,-1,-1,-1,-1,177696,24762,-1,-1,-1,-1,427468,-1,444441,-1,187316,755814,-1,-1,150098,931510,-1,-1,-1,87566,522881,-1,-1,-1,730786,482743,961957,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,351712,-1,-1,571505,353905,-1,-1,-1,-1,641758,-1,-1,30260,-1,242257,-1,-1,110011,197946,-1,-1,-1,-1,312294,-1,238445,-1,-1,-1,-1,-1,-1,-1,-1,507336,-1,568950,-1,-1,-1,601251,-1,285369,-1,644423,-1,857932,295283,304735,358048,896201,691344,503087,-1,573927,244618,104900,-1,927895,-1,-1,63133,-1,-1,961894,777335,-1,-1,-1,-1,428701,670855,-1,-1,192858,-1,435836,-1,776543,39982,117750,378472,78557,-1,-1,676085,-1,981807,-1,968116,476328,137516,-1,-1,-1,-1,-1,106355,880237,282053,588327,291766,-1,68895,773372,442532,522037,140002,299155,901690,64901,840956,-1,-1,-1,920669,352737,-1,-1,-1,426547,-1,-1,-1,-1,137911,-1,-1,-1,-1,125622,-1,-1,649093,81243,972914,-1,-1,-1,-1,-1,927562,-1,911031,-1,192953,-1,-1,58367,-1,751602,352612,-1,-1,61962,224510,-1,-1,907540,-1,-1,745039,86026,-1,721379,3439,-1,30041,-1,252268,-1,-1,90681,-1,198856,-1,-1,-1,-1,835528,-1,-1,347024,-1,-1,887983,747643,-1,-1,-1,87266,711755,295456,102488,-1,-1,477553,151476,774912,-1,-1,-1,702918,617190,-1,79094,-1,11633,-1,-1,-1,-1,-1,-1,-1,527765,-1,-1,47159,396371,696356,-1,328782,685073,-1,421082,-1,-1,-1,-1,-1,-1,177966,558574,-1,560549,-1,-1,-1,-1,-1,-1,-1,399097,582126,513805,-1,798146,189938,-1,-1,-1,-1,861676,-1,157189,-1,472506,317300,345579,-1,-1,-1,-1,773387,669466,105300,875295,219629,38141,548707,-1,-1,-1,-1,407753,805650,-1,-1,801944,-1,828500,-1,85295,364811,-1,-1,563104,887566,678688,168151,-1,726589,-1,-1,-1,-1,831806,876762,788575,-1,-1,492012,-1,-1,71032,-1,251193,122840,626833,-1,652238,395746,-1,-1,915515,-1,912717,-1,969489,-1,617582,333405,889205,-1,744994,-1,913536,-1,55528,-1,868691,895665,738550,-1,-1,-1,-1,-1,-1,-1,-1,-1,344951,-1,244681,-1,-1,-1,152175,223218,82035,233693,-1,835810,-1,507833,183170,515861,577274,-1,344019,14777,797897,232219,522872,97074,842674,782530,-1,-1,91079,-1,-1,-1,-1,-1,113117,-1,-1,-1,-1,731061,-1,361935,121866,621734,-1,-1,-1,-1,501412,338331,-1,213941,863649,950540,-1,888345,-1,15031,-1,-1,-1,-1,939577,-1,-1,-1,-1,-1,-1,-1,-1,169926,947147,-1,-1,645163,-1,-1,157384,960829,-1,-1,-1,-1,429628,-1,-1,-1,-1,155105,-1,-1,426986,898832,-1,999692,-1,535671,122114,323458,367848,359621,850822,453392,-1,193983,-1,-1,854804,558802,557206,138332,-1,264701,-1,256576,774907,891644,-1,996067,-1,585374,674111,-1,-1,912159,-1,465546,-1,-1,-1,112624,-1,202210,-1,-1,34881,208509,33066,-1,-1,-1,-1,661575,541020,15382,-1,606670,650723,-1,196303,-1,-1,664535,-1,-1,-1,42638,-1,-1,506479,807579,-1,746463,-1,-1,-1,-1,498018,-1,329943,29441,-1,828266,852010,430350,700778,346794,887087,945088,372648,93011,791536,453358,415753,-1,265461,-1,-1,72593,-1,-1,44177,-1,-1,683641,-1,-1,294421,926350,138289,468194,419287,96759,367540,612492,-1,-1,851908,8933,-1,409071,687571,-1,-1,-1,532023,934190,-1,-1,-1,611720,-1,-1,-1,-1,-1,-1,650523,-1,-1,110863,-1,-1,-1,-1,-1,564147,37062,-1,494854,136445,-1,468079,15049,910312,947787,46772,603732,-1,352467,-1,-1,-1,948400,291783,798332,773558,-1,334858,212153,883887,-1,725092,-1,78862,391391,896000,835862,-1,-1,635787,-1,-1,-1,859510,12325,949000,931070,350289,-1,376340,884921,-1,-1,156674,396031,-1,813923,305560,-1,-1,581252,-1,728835,884741,-1,-1,975548,-1,-1,-1,-1,212658,342609,724382,691175,625769,136947,-1,637069,864958,248938,-1,-1,635064,-1,273476,569597,558685,936522,-1,955854,838187,508118,859843,-1,-1,-1,-1,-1,-1,538921,804144,745440,676433,578161,-1,855416,-1,-1,-1,946217,-1,-1,547207,-1,-1,122421,-1,479253,738654,-1,130957,-1,717471,275112,433775,-1,-1,-1,652494,-1,-1,126921,-1,779358,851899,-1,444269,-1,306614,4537,-1,143686,904639,-1,-1,42168,574389,-1,409420,708227,916718,67232,-1,587644,921059,142976,879934,561135,-1,-1,10625,121705,-1,562845,738992,-1,-1,-1,-1,-1,754445,421929,-1,446856,-1,-1,166588,-1,-1,-1,229517,-1,653532,344045,-1,86419,630227,-1,511205,449817,821068,28237,888525,-1,470436,-1,-1,698118,-1,396762,-1,-1,-1,960368,394806,-1,108391,190105,21658,-1,-1,-1,-1,545045,100511,279311,-1,-1,582629,-1,-1,267582,145997,-1,-1,122261,659519,-1,-1,342832,180156,12109,554013,111931,49514,-1,711922,989946,-1,892556,-1,-1,-1,92522,-1,-1,-1,427510,-1,616214,-1,-1,12009,-1,295136,-1,308098,-1,-1,-1,245486,509053,559817,-1,600234,-1,-1,-1,82857,649598,793210,713904,151853,167696,911716,27390,861209,-1,-1,-1,-1,742744,670424,407468,-1,640636,-1,-1,-1,-1,482872,-1,-1,237715,58379,623758,-1,67781,842705,194437,-1,130165,123706,802403,-1,-1,-1,945782,-1,-1,44341,-1,-1,-1,-1,384410,751469,95625,-1,815105,-1,-1,705074,-1,191849,142028,203869,-1,-1,184143,-1,103742,519133,-1,-1,768838,-1,477690,696211,982644,207698,-1,-1,-1,201362,-1,-1,45000,912591,-1,-1,-1,290005,-1,-1,85186,-1,959875,-1,-1,653507,-1,-1,774449,935549,476875,-1,530849,-1,164133,-1,500821,782067,463152,941906,341353,442340,-1,-1,-1,546976,-1,-1,-1,598815,43805,451757,-1,-1,759674,512193,964409,828993,512967,-1,-1,-1,835377,-1,875866,-1,-1,752386,247607,636164,-1,732142,309865,-1,-1,-1,267119,335397,665349,229984,653423,657111,-1,-1,841213,-1,982095,884956,-1,833733,799219,910839,400625,-1,116179,623008,-1,579063,-1,-1,-1,198457,-1,233621,-1,-1,-1,439845,160257,784888,487729,-1,503261,236377,-1,692965,-1,458012,519110,329306,-1,68110,116998,-1,-1,-1,256172,780460,424995,170338,-1,-1,-1,750280,970012,878375,292605,-1,23432,-1,906999,676009,-1,666785,-1,-1,-1,1357,687605,-1,-1,12393,298611,-1,747419,-1,-1,-1,-1,40699,161519,830341,-1,-1,637466,791711,-1,581889,-1,88305,-1,926675,681010,361309,487698,503462,-1,-1,-1,696062,-1,913363,-1,825214,831131,779677,-1,-1,674833,899007,859143,-1,-1,-1,-1,-1,591523,-1,390769,-1,664313,-1,879150,-1,279030,-1,-1,-1,-1,45957,-1,51480,238375,-1,480889,558413,69799,764353,164569,-1,-1,328932,-1,965420,-1,-1,690105,-1,-1,282115,822160,-1,-1,-1,-1,-1,-1,782440,-1,450027,-1,411059,525868,-1,-1,114207,116833,465864,-1,596398,545800,612291,-1,-1,142886,845745,511950,842512,818641,-1,572332,428876,91793,445966,317558,-1,-1,-1,-1,-1,382877,-1,-1,-1,982532,-1,-1,-1,890382,530205,785206,-1,-1,520594,932480,751887,446162,-1,-1,644339,516969,-1,-1,-1,-1,611516,-1,-1,-1,-1,-1,935515,-1,531983,426614,-1,692570,415306,-1,882548,602902,-1,-1,-1,571312,-1,270415,-1,-1,952452,647322,854135,822446,-1,-1,978923,762595,-1,-1,-1,29293,234986,495186,874929,194839,-1,497087,-1,183793,-1,-1,505293,-1,76612,927996,-1,143035,-1,925818,-1,-1,53745,-1,442800,-1,917440,945196,602545,543887,-1,-1,360879,445396,-1,-1,-1,-1,924483,697462,549831,737305,691867,-1,-1,-1,383591,-1,500212,701399,510189,-1,824966,63944,-1,112014,671767,617815,124548,-1,-1,-1,94905,-1,432013,243112,-1,-1,3097,-1,2228,858327,-1,896191,447349,-1,531873,-1,-1,303816,-1,-1,410022,254214,163322,225868,-1,-1,-1,-1,-1,-1,457058,-1,844367,-1,-1,80813,786183,164353,-1,-1,838752,623018,-1,-1,-1,94753,261129,15010,842111,370722,457944,-1,-1,-1,15365,414511,178934,-1,219716,-1,599511,125119,87493,-1,964884,-1,-1,615224,-1,258054,629880,320906,-1,470152,-1,-1,-1,315448,194617,-1,739734,-1,-1,938395,284669,-1,322429,912808,161088,27543,371081,303146,-1,-1,-1,-1,-1,750847,669921,230710,901640,-1,-1,202764,926613,-1,164979,169518,114285,940019,-1,-1,-1,814902,-1,520576,-1,-1,892741,-1,-1,531400,-1,-1,937971,-1,-1,929607,-1,872345,696523,183414,-1,990188,742471,921950,255631,-1,-1,793431,52007,-1,38855,-1,-1,-1,437954,471599,-1,367630,994763,-1,834458,257508,344954,709702,-1,652464,-1,-1,-1,-1,462505,-1,-1,-1,-1,531377,-1,497385,-1,827405,105364,277162,940151,-1,348475,-1,194571,466495,-1,605134,-1,281500,344852,119626,-1,861739,-1,175944,161030,887110,861778,886066,-1,207643,476986,588132,966847,66794,-1,-1,228777,905314,-1,-1,-1,684184,127784,-1,631065,499904,-1,-1,642868,-1,320763,465050,360085,-1,837899,617370,-1,-1,-1,12092,625191,206584,304015,518409,-1,-1,-1,272333,206171,-1,-1,-1,-1,306462,-1,122845,665948,914522,-1,-1,365101,-1,368720,997269,232566,-1,87629,-1,-1,764636,-1,950653,200125,-1,-1,46163,-1,379521,-1,487089,-1,-1,-1,692738,-1,-1,667563,800272,-1,382445,-1,859988,-1,-1,-1,-1,-1,-1,-1,249815,478141,-1,174963,-1,-1,544531,662734,142211,322277,633665,-1,254182,-1,-1,632085,558770,281956,-1,601362,-1,534742,322511,-1,91137,643925,36376,-1,209904,321402,476356,308690,-1,-1,370930,-1,501409,-1,157193,-1,835738,-1,213488,-1,179238,121004,880974,-1,417965,99701,-1,724990,-1,163478,539434,734407,293901,-1,891073,-1,545881,-1,163058,-1,-1,-1,-1,-1,-1,181660,528639,195496,-1,619549,667726,-1,-1,-1,957819,-1,-1,-1,-1,609984,179268,16334,641343,319591,728377,-1,-1,183944,-1,93897,709276,-1,202533,262808,-1,-1,-1,644229,455492,-1,-1,-1,-1,-1,-1,59725,937764,-1,515332,450259,-1,-1,-1,370895,219093,-1,-1,166052,361795,-1,-1,286589,-1,-1,146129,-1,633134,-1,-1,723180,-1,-1,-1,91371,-1,-1,437948,-1,732477,660145,-1,497192,-1,804999,-1,494318,-1,-1,659717,399455,-1,419612,184869,625457,110980,998858,107610,998867,-1,-1,-1,230475,-1,-1,23204,719391,-1,-1,998515,607770,635547,802686,-1,-1,750268,-1,503188,835960,831046,-1,241716,-1,992785,298605,929158,250052,-1,-1,892071,-1,569907,258145,8453,107823,225728,920117,-1,37776,-1,-1,236078,-1,-1,-1,981081,-1,-1,-1,353369,-1,-1,756795,358313,76964,800670,791263,902043,498779,-1,-1,24712,-1,-1,-1,-1,-1,-1,-1,404668,-1,-1,469738,-1,-1,-1,-1,-1,940408,261001,-1,-1,270670,-1,73760,171389,503162,722247,-1,-1,146472,-1,-1,322272,-1,469449,-1,144279,974906,235461,443151,-1,100980,-1,651578,-1,-1,-1,15579,-1,490901,635657,-1,20405,-1,-1,-1,267185,-1,38436,748767,451937,90651,-1,-1,-1,-1,307880,-1,-1,-1,-1,-1,881305,-1,142498,-1,-1,-1,-1,-1,287255,-1,-1,912051,310030,919019,353992,-1,184169,-1,-1,-1,698783,506626,-1,-1,532529,-1,997432,-1,-1,930216,701773,645054,306323,254124,-1,318685,457990,-1,-1,-1,-1,934762,-1,308335,739261,-1,984758,117886,-1,-1,471213,-1,868304,483372,218402,-1,-1,-1,-1,139256,-1,245548,431669,681934,604395,-1,-1,823637,494457,-1,-1,453165,147421,-1,-1,-1,372474,-1,913993,-1,-1,-1,504846,408666,-1,-1,-1,-1,-1,967174,-1,-1,-1,-1,562603,648123,977497,291264,-1,-1,294856,-1,-1,-1,875673,54799,-1,257370,537498,667086,-1,-1,-1,-1,993892,962117,842966,506348,-1,-1,-1,-1,220248,290947,-1,-1,-1,76786,90862,-1,959061,-1,-1,-1,-1,935265,257906,-1,-1,-1,58907,-1,952952,801042,-1,952979,51154,-1,-1,272666,-1,-1,354095,230480,641585,738312,344435,742937,10671,-1,123667,933014,-1,-1,524664,-1,327950,941842,869749,-1,-1,660813,-1,-1,-1,670926,113724,-1,-1,209594,585456,-1,71986,46465,-1,763501,-1,715996,90300,-1,142503,-1,-1,644083,-1,-1,-1,633519,-1,-1,-1,53935,749389,-1,714634,127950,764110,951160,83645,-1,-1,-1,660965,702413,-1,-1,-1,392945,832150,-1,-1,59808,-1,-1,325955,373316,-1,-1,-1,-1,156817,-1,-1,-1,-1,-1,-1,-1,955544,-1,-1,-1,-1,-1,512437,965504,-1,-1,-1,-1,-1,-1,-1,85615,-1,588720,792674,-1,-1,704002,440829,742009,-1,-1,871398,175192,-1,-1,-1,-1,-1,565732,-1,-1,359013,537548,517911,-1,-1,-1,15183,232883,773769,804642,-1,260372,797832,735666,-1,-1,394108,-1,940564,671009,-1,-1,239221,269442,-1,-1,-1,317418,-1,-1,691162,-1,-1,-1,38944,849004,-1,301363,510211,702108,844536,-1,765920,949404,742788,119213,751302,971795,-1,387946,472142,-1,-1,-1,-1,616418,-1,103438,550321,-1,-1,235287,-1,-1,452977,-1,-1,87353,-1,-1,-1,-1,-1,365397,-1,-1,537092,26076,-1,776852,738949,-1,-1,509359,-1,-1,379782,792947,891359,-1,103952,-1,166552,-1,783960,882976,-1,173076,552416,39379,-1,129118,-1,650547,381874,246032,575674,-1,499752,948369,-1,-1,879063,286612,522644,488100,-1,-1,-1,309143,-1,152360,226908,176939,231824,-1,328600,202558,-1,-1,30246,676339,-1,-1,77553,-1,-1,161824,-1,996111,-1,201550,-1,-1,-1,330042,-1,-1,-1,316873,-1,694303,-1,340476,-1,-1,840856,-1,-1,699870,709255,-1,-1,-1,-1,-1,-1,260319,-1,-1,-1,-1,-1,184562,-1,407952,910910,-1,-1,-1,-1,-1,34647,-1,-1,-1,-1,456631,-1,639660,885213,837479,498067,545457,-1,654526,-1,183051,547892,956419,344161,-1,-1,439022,639980,-1,643557,-1,-1,907365,-1,227435,434357,-1,653046,946579,209339,438735,-1,118572,-1,403605,-1,733824,-1,838147,-1,-1,-1,-1,-1,-1,386119,-1,-1,-1,-1,487654,-1,865061,-1,281464,322670,-1,95212,856021,755029,-1,-1,104735,196844,-1,444226,-1,-1,990956,228802,461560,677103,247919,-1,-1,399628,-1,531726,-1,129711,63225,-1,554404,-1,-1,-1,-1,425420,857858,-1,44436,-1,-1,-1,979419,274449,270305,920508,260747,413692,-1,-1,-1,-1,-1,362073,-1,-1,-1,119060,906125,473505,-1,954049,-1,757852,658220,426414,-1,-1,243849,-1,-1,341113,953449,-1,-1,-1,-1,-1,291092,-1,695050,-1,-1,-1,-1,551128,359308,-1,-1,187578,2352,-1,372485,-1,-1,704687,842493,-1,-1,225206,229689,-1,228756,-1,45325,308998,356893,585728,792699,-1,-1,667325,-1,-1,-1,170916,-1,-1,-1,-1,-1,213865,670360,-1,38800,-1,970344,-1,989243,-1,941606,487963,-1,13830,-1,705427,-1,142022,-1,620294,-1,-1,893443,630674,444452,-1,-1,-1,-1,235796,-1,-1,379085,841132,-1,-1,-1,-1,91454,-1,-1,-1,-1,-1,58166,-1,-1,679209,-1,829554,514625,658120,-1,935361,-1,-1,-1,-1,-1,635437,791425,-1,-1,-1,238752,718485,937319,-1,-1,-1,760777,-1,698679,710931,-1,452192,-1,167997,238094,68648,981414,516843,-1,-1,-1,-1,852809,-1,-1,-1,-1,-1,649319,-1,854280,-1,446080,-1,-1,-1,292319,774385,455533,-1,985169,-1,-1,-1,-1,-1,-1,-1,-1,911708,990482,510715,-1,538744,239418,-1,246678,826063,388586,-1,-1,697582,-1,62487,-1,-1,-1,-1,-1,881362,-1,-1,-1,685499,-1,419538,-1,-1,-1,958052,285995,-1,992266,259794,792340,811965,120089,-1,488132,41946,44281,631723,-1,-1,854672,581724,-1,-1,-1,-1,485631,-1,453962,-1,825174,356038,921236,916624,-1,867377,21225,148315,605982,8666,-1,972436,433413,831207,-1,-1,-1,28033,23857,-1,-1,13048,935134,-1,-1,-1,863281,-1,671286,-1,-1,-1,-1,-1,-1,398076,-1,629238,915935,-1,-1,-1,-1,667595,771050,241955,-1,-1,-1,650612,-1,-1,-1,870391,147276,-1,-1,919200,1423,-1,658551,81583,153251,-1,773651,155038,-1,-1,529879,-1,862856,-1,-1,-1,-1,-1,-1,-1,399511,29557,165883,-1,-1,754715,-1,-1,-1,660177,245312,-1,-1,875055,908431,636922,-1,572401,-1,560833,-1,187663,-1,880343,610885,-1,378954,7268,-1,780640,-1,-1,860383,-1,-1,-1,-1,-1,-1,-1,764740,696330,437870,305381,-1,-1,251515,-1,-1,-1,212910,161029,-1,267326,529446,-1,294953,682391,609141,-1,-1,-1,-1,-1,-1,-1,965383,604373,-1,-1,840822,-1,657721,792975,-1,-1,-1,-1,-1,955383,952219,771053,-1,-1,122035,-1,-1,-1,-1,644510,-1,-1,-1,533752,870795,58428,146487,944827,18613,-1,482052,-1,-1,-1,673680,463600,-1,-1,996110,72865,-1,-1,488670,-1,276515,14623,-1,615006,-1,585066,-1,764624,-1,78806,60235,439953,-1,-1,-1,418153,309956,-1,943105,-1,-1,-1,22848,633439,413893,-1,438508,420198,783001,-1,772989,-1,-1,201208,383414,169810,125988,412049,-1,-1,188388,-1,-1,44645,-1,434593,-1,688266,164699,-1,-1,879617,802730,36161,711804,-1,-1,580088,-1,358885,-1,412435,-1,-1,-1,712363,147231,138224,454713,460831,565879,-1,-1,871121,-1,-1,87809,-1,-1,958045,-1,418611,-1,522676,-1,-1,326645,-1,-1,142203,-1,584114,-1,351546,683756,688254,894286,283140,-1,-1,-1,524965,-1,807522,-1,922140,-1,-1,-1,-1,-1,-1,-1,332690,649941,656460,565693,815464,56051,707674,460155,275921,787566,147124,-1,-1,-1,-1,-1,955195,936005,813088,140683,-1,230444,227941,-1,318843,-1,-1,-1,-1,-1,293192,597117,-1,-1,-1,228763,-1,-1,505796,525572,628593,-1,-1,-1,746249,-1,618062,-1,-1,509524,897335,-1,814799,64857,894910,663906,648531,-1,-1,986161,-1,325962,-1,-1,529974,869801,222957,-1,953131,929357,413847,368062,605873,590296,-1,488948,673510,-1,-1,259967,461276,419350,499313,19359,-1,-1,-1,-1,-1,-1,26060,196314,-1,750606,687220,-1,-1,-1,-1,352245,-1,951662,-1,277051,794074,879250,-1,-1,495165,316668,-1,-1,-1,-1,456845,935042,-1,229007,259356,-1,823234,-1,164862,207485,-1,478884,-1,-1,681430,75029,-1,835908,-1,-1,-1,732888,990976,-1,564530,997520,-1,-1,541578,662001,687382,-1,635699,784442,-1,-1,99389,-1,461798,238368,-1,74436,41486,-1,-1,836997,408390,818561,-1,-1,371778,-1,150717,-1,119413,-1,645319,-1,670458,-1,-1,-1,534330,-1,-1,-1,-1,-1,90608,-1,863574,335666,-1,229222,-1,-1,65786,471181,552486,-1,-1,476905,-1,-1,47089,487361,-1,846290,961113,839031,-1,99681,-1,575058,260044,-1,991045,761115,175024,398203,-1,-1,-1,-1,482406,-1,-1,-1,-1,-1,99111,-1,-1,9787,-1,-1,633946,-1,-1,-1,735812,147258,395142,-1,54325,-1,855926,576104,640492,-1,-1,-1,-1,-1,-1,-1,291199,964214,-1,453523,-1,289821,-1,264587,652252,-1,-1,-1,379646,-1,331461,-1,926924,118926,-1,-1,-1,779519,-1,161242,-1,547087,-1,365141,-1,896180,-1,191731,620674,-1,395174,-1,630196,227145,569813,-1,144254,-1,114348,230508,702630,577112,-1,-1,-1,492056,-1,-1,-1,-1,898589,-1,-1,566499,443615,-1,-1,195424,-1,13951,45693,497579,-1,-1,507533,461349,-1,799433,755829,369245,993122,507513,-1,-1,-1,524086,-1,-1,615235,449905,-1,237436,-1,221846,261831,913307,-1,310073,-1,939667,302634,-1,532531,673385,-1,310897,-1,-1,-1,550030,742341,66201,-1,-1,123741,170766,-1,-1,-1,-1,547815,-1,998113,889112,-1,143121,812103,461985,549255,-1,392045,-1,-1,-1,-1,-1,914717,9757,821979,526473,-1,-1,699882,-1,757881,-1,643848,-1,155794,542123,-1,-1,854515,-1,-1,171432,-1,-1,-1,52978,-1,661000,-1,-1,207049,-1,-1,-1,409184,-1,-1,205860,20645,291971,-1,-1,600378,866285,-1,-1,588388,-1,468484,147735,-1,72035,-1,-1,-1,-1,-1,582463,-1,14708,900973,820633,-1,-1,-1,-1,-1,529675,-1,284275,650649,-1,-1,556328,-1,500523,909512,-1,828541,106957,387556,-1,-1,698162,-1,787264,-1,-1,-1,-1,-1,496814,538456,6329,-1,146105,903737,-1,700082,-1,-1,152618,484096,-1,148583,-1,-1,-1,-1,802626,652595,-1,273631,-1,868804,865752,-1,757537,-1,941583,-1,561086,-1,159117,-1,383502,38874,629063,412231,-1,180908,726582,459289,-1,-1,601272,723516,-1,568956,983662,197594,952326,-1,-1,-1,-1,155709,279350,936354,981444,-1,-1,-1,-1,-1,925375,343844,480143,441899,873103,-1,620463,188761,-1,601583,-1,380093,-1,25484,-1,791282,279401,-1,-1,-1,794457,-1,-1,687695,-1,39838,-1,-1,202980,-1,605080,518227,511086,801406,-1,459637,-1,396156,-1,666212,-1,-1,-1,43054,814539,283139,760676,-1,241962,-1,939290,-1,-1,-1,-1,-1,794805,286989,244791,695224,-1,-1,326487,240820,-1,-1,-1,-1,-1,539135,872551,712896,21985,-1,-1,47920,-1,-1,-1,548132,-1,254892,-1,501789,95057,708170,34998,376745,-1,-1,-1,600065,-1,-1,-1,-1,998538,544568,-1,-1,-1,-1,987708,-1,640913,613728,269006,190187,895859,-1,-1,-1,349799,-1,616766,543792,116607,-1,-1,635520,929315,61098,199826,-1,601257,-1,-1,-1,904203,888993,-1,533214,-1,-1,438428,969419,915952,716834,-1,-1,-1,953013,397370,394524,896282,141000,-1,273759,724219,-1,-1,-1,-1,679693,-1,779649,589221,697312,205699,411521,-1,-1,796585,-1,532583,-1,63112,624701,-1,408647,-1,-1,386398,-1,76405,-1,-1,638694,-1,-1,68788,-1,-1,680864,-1,385043,-1,783679,876305,-1,-1,-1,-1,126817,-1,491807,-1,919431,401243,-1,-1,196215,-1,-1,-1,507654,-1,-1,149236,-1,-1,549036,-1,-1,535760,-1,986424,-1,-1,869639,614622,54618,-1,-1,-1,-1,367977,-1,-1,580314,218565,-1,44588,527224,902907,-1,876921,477558,99881,-1,-1,596280,374734,288327,-1,445716,-1,379396,817962,812739,-1,172820,-1,869853,7356,-1,829332,-1,-1,234669,807365,-1,708088,-1,-1,-1,-1,562556,-1,417667,-1,726205,770131,-1,195080,759640,-1,701239,-1,-1,-1,-1,-1,-1,463366,118527,-1,318950,117715,433647,626087,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,257354,-1,271829,734672,746049,-1,374272,502480,722212,376985,-1,-1,-1,714308,-1,-1,-1,967438,40358,-1,-1,799000,-1,47304,146451,-1,843180,23213,462500,497656,456516,556636,194984,460798,-1,942457,777020,-1,-1,335637,-1,732817,-1,224632,-1,-1,952680,-1,862911,382257,-1,688151,-1,-1,970966,628524,-1,-1,-1,990980,-1,42088,-1,-1,255505,-1,305189,-1,286025,-1,410286,-1,963059,-1,-1,-1,898705,919058,794024,71811,-1,-1,860654,-1,-1,-1,-1,424501,-1,-1,496284,-1,-1,-1,635391,148534,819322,-1,-1,674608,139060,-1,-1,358877,-1,147506,-1,-1,-1,768904,-1,258158,-1,967116,-1,-1,577938,-1,904788,-1,775737,-1,591232,183893,503613,-1,574125,-1,-1,-1,774243,848371,-1,-1,-1,-1,345900,-1,594227,-1,461238,-1,383546,-1,770516,-1,-1,211119,286507,928736,304875,-1,519421,-1,-1,291822,139601,32839,333481,955433,251445,-1,-1,277701,-1,810626,740655,-1,-1,981854,-1,-1,46023,-1,-1,-1,978484,433604,259379,4965,-1,-1,2171,-1,-1,-1,283318,-1,-1,747903,904917,687962,-1,223450,-1,717545,698757,346466,-1,349854,273821,723325,-1,-1,-1,-1,349064,709407,-1,-1,-1,-1,-1,538736,-1,269680,-1,-1,677375,802372,-1,498433,139817,-1,-1,-1,661240,643393,595109,13067,97039,-1,-1,-1,-1,695088,819900,292898,66125,-1,616479,550095,-1,92885,455217,33707,424490,-1,-1,-1,-1,540810,-1,-1,557256,-1,-1,-1,-1,-1,-1,-1,26078,-1,-1,-1,-1,978222,-1,-1,656230,-1,940624,302844,-1,-1,-1,641305,-1,82613,-1,331624,-1,-1,-1,668445,508610,222581,542432,-1,426629,-1,-1,634348,-1,-1,356357,345747,-1,183698,-1,-1,-1,929579,-1,285112,-1,551677,-1,-1,-1,492328,-1,-1,753094,-1,-1,443649,-1,52633,520981,226134,-1,-1,180556,-1,-1,-1,-1,584548,119236,-1,417338,670954,-1,881062,-1,918228,19303,-1,366108,-1,-1,-1,96287,342278,88330,-1,847781,179872,502792,188142,-1,261940,388366,884244,-1,-1,-1,938141,-1,-1,301280,772607,-1,71170,-1,471670,-1,214948,-1,642875,603245,812965,-1,794236,188238,-1,-1,841019,-1,718587,-1,728582,-1,-1,103412,-1,517760,-1,941904,-1,81458,-1,666415,301695,841234,362583,45128,954846,-1,-1,-1,-1,-1,-1,196305,-1,115893,162603,-1,-1,552590,-1,-1,588011,-1,-1,-1,-1,-1,821228,-1,111426,51893,-1,193951,-1,527587,87099,490085,93333,725146,-1,-1,-1,73227,-1,-1,-1,-1,-1,123430,493793,112139,-1,129135,2446,148236,-1,252937,603090,569300,207768,27259,-1,784244,-1,187199,-1,858910,968413,235975,-1,312544,925036,-1,998564,587717,673403,552516,-1,428143,949805,202826,-1,-1,172055,-1,-1,680454,276738,256237,6987,89512,-1,-1,501996,609308,687352,-1,511228,-1,705422,-1,112059,-1,890371,-1,-1,352308,-1,568683,240534,315988,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,241813,641239,243793,-1,535433,-1,578565,294774,-1,540335,555883,-1,-1,314972,457621,-1,-1,-1,-1,-1,-1,412529,317280,-1,-1,-1,-1,1364,662132,798704,988128,-1,961719,906127,155535,668019,-1,346843,520723,-1,-1,412166,244777,534879,355156,921497,616593,383088,-1,178762,340232,-1,509230,-1,551192,906943,507394,248099,-1,787324,-1,402398,-1,965232,470548,644317,981280,334186,-1,-1,-1,369184,731621,194582,522016,-1,692865,11670,165024,461719,786927,-1,-1,-1,145097,-1,408136,-1,303931,-1,900740,119702,-1,-1,604148,-1,563978,664026,310225,614203,33222,-1,516766,-1,-1,-1,803838,879347,-1,-1,-1,926206,-1,-1,-1,485508,-1,-1,-1,223921,-1,336720,473342,-1,-1,-1,-1,-1,-1,69955,296254,-1,750951,746470,-1,-1,223631,508571,502684,909808,882797,-1,246578,450585,494399,357242,871152,573766,-1,729858,982725,-1,-1,-1,-1,424515,-1,813993,810257,-1,538773,328157,834900,91822,602709,546645,-1,-1,-1,489022,231251,356067,698819,-1,305041,137593,-1,-1,701217,-1,179314,-1,285125,510948,-1,468640,96723,-1,449955,-1,687337,263188,441964,-1,-1,154448,522331,170488,605469,-1,-1,170920,409365,-1,487711,-1,-1,-1,126444,-1,-1,826766,160291,944604,149217,393999,-1,164607,-1,587958,-1,357343,-1,-1,-1,174867,-1,-1,687128,917451,-1,220172,-1,624366,-1,-1,321919,-1,-1,-1,54503,534713,876971,599434,-1,2224,-1,740007,637196,-1,401102,-1,-1,-1,-1,4651,644378,169026,-1,711198,26667,-1,-1,-1,-1,10298,68059,255585,501755,415547,-1,968945,-1,-1,-1,-1,135333,437429,891292,-1,106936,-1,572817,677558,717934,-1,-1,152838,219162,321585,32083,-1,-1,-1,784607,242442,-1,-1,-1,-1,655144,-1,851987,-1,-1,810377,-1,-1,390992,-1,-1,217713,761155,92371,534295,262541,-1,107106,820443,-1,621847,-1,414339,-1,437585,502720,-1,-1,96888,-1,-1,37345,-1,275824,726878,418465,-1,-1,845412,280812,-1,565254,-1,-1,621971,391024,-1,673816,-1,-1,-1,-1,-1,470170,-1,-1,-1,-1,445792,-1,-1,849769,-1,833880,-1,-1,100146,596232,-1,-1,-1,-1,598678,-1,593068,334747,799790,4109,673039,585240,-1,862590,67326,680793,873770,454073,-1,764697,-1,79456,5298,964265,-1,540854,-1,-1,-1,-1,157996,234359,880489,203621,870165,-1,-1,-1,-1,-1,-1,330469,-1,-1,-1,328610,241293,854666,243270,-1,-1,204558,-1,-1,-1,-1,302299,-1,-1,-1,-1,-1,-1,712307,480154,964614,-1,-1,9006,611770,-1,-1,-1,391929,453864,548745,-1,-1,522491,31065,-1,-1,90328,-1,-1,-1,-1,-1,-1,-1,-1,-1,808711,-1,746403,914780,66984,400511,-1,-1,10384,784858,485212,-1,-1,-1,334210,708220,-1,598540,866630,823708,707744,-1,220876,117305,-1,166359,-1,-1,-1,-1,675457,656845,317769,-1,379475,83459,-1,267723,894652,-1,75813,990657,179638,29393,548717,-1,-1,76213,-1,-1,-1,908202,126997,695860,557082,-1,-1,9046,161858,-1,11833,213745,-1,-1,-1,173006,-1,310593,83023,-1,366779,498583,-1,14227,487867,-1,-1,-1,-1,-1,-1,875954,-1,-1,-1,-1,-1,496625,-1,665080,82997,985850,-1,-1,224020,-1,430151,-1,-1,-1,139079,-1,-1,26332,-1,991719,983434,-1,-1,-1,951062,-1,759537,-1,415226,-1,-1,376545,-1,-1,-1,283628,-1,865274,-1,-1,-1,686647,-1,777572,132823,50798,-1,-1,656361,-1,186560,-1,-1,276779,595335,663494,-1,904276,446009,43802,793213,102613,180653,203915,-1,438075,-1,350646,874508,757912,-1,997087,-1,923049,44535,-1,-1,72732,-1,-1,775323,288921,-1,714067,206316,166967,232207,706392,-1,408240,-1,227240,-1,702447,-1,520667,270397,385519,-1,658528,447171,-1,-1,-1,538983,714139,679865,442923,-1,-1,814919,-1,-1,-1,-1,-1,919470,995251,-1,-1,723955,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,442087,414176,-1,-1,-1,-1,-1,293789,707900,-1,790211,-1,-1,-1,-1,-1,-1,-1,768301,-1,861055,-1,707292,28750,-1,514055,138645,168265,230149,26143,-1,547740,160312,-1,219096,-1,246397,-1,888177,807892,-1,995547,304618,-1,830346,69002,692250,-1,195022,-1,-1,610133,-1,-1,408343,649018,-1,-1,275757,-1,534420,939177,27742,29768,-1,-1,718972,-1,446519,-1,-1,522500,260758,50552,975342,-1,-1,-1,-1,52032,-1,790123,-1,478809,338035,-1,-1,333904,961388,80868,144282,476862,691969,102446,-1,-1,-1,-1,-1,300038,941545,83624,-1,-1,-1,868812,-1,630007,-1,-1,324469,-1,156824,412520,-1,890032,-1,316659,127688,588843,-1,261212,-1,141683,324634,-1,-1,-1,-1,229472,312829,834646,-1,20864,672589,187668,402066,-1,-1,-1,995907,278015,-1,-1,-1,-1,-1,-1,820518,77335,-1,128329,290537,666758,-1,-1,28725,-1,-1,835890,-1,-1,-1,641668,890393,-1,269269,-1,-1,284690,-1,419580,768483,325409,363778,-1,-1,716591,998513,-1,-1,477462,-1,963840,-1,-1,-1,-1,258950,295160,846365,605704,736755,476258,44319,-1,-1,-1,887933,-1,-1,-1,814340,-1,1107,553849,260663,356744,-1,768923,857086,581578,-1,-1,775474,257485,-1,271821,828182,373540,56289,-1,-1,646861,479134,185069,-1,859879,-1,693264,-1,419567,560347,644426,-1,792003,-1,-1,983622,114232,198447,666461,623802,-1,169179,690994,-1,-1,543357,999720,115325,-1,183916,-1,-1,-1,-1,440057,-1,-1,-1,-1,146202,-1,93137,597863,-1,-1,-1,333980,-1,-1,-1,-1,-1,427101,-1,593985,694654,585725,-1,-1,343477,-1,-1,643468,-1,915033,175419,359339,672551,-1,431773,-1,-1,632114,-1,-1,-1,857819,849270,853593,966449,41338,269223,793054,-1,893203,-1,-1,428326,-1,-1,-1,181227,-1,-1,145491,-1,992319,-1,-1,-1,784803,110706,851248,-1,-1,614730,-1,303731,-1,416872,72143,-1,-1,-1,222138,-1,925857,-1,-1,-1,-1,-1,606010,-1,-1,-1,375078,445473,-1,-1,425394,-1,-1,-1,518580,125635,234591,-1,-1,-1,724633,570997,-1,606565,-1,-1,-1,-1,915433,451653,-1,-1,350884,-1,622584,942668,-1,81066,-1,386285,942694,-1,624833,729177,260410,967739,220078,-1,288658,51777,627965,676116,-1,276351,-1,-1,-1,-1,970334,238407,796191,879754,223426,-1,-1,-1,-1,-1,915686,-1,-1,792296,269276,-1,794232,813290,-1,-1,-1,-1,-1,-1,-1,-1,737167,-1,188094,934993,-1,-1,-1,602011,-1,733291,861289,-1,930664,426675,975079,-1,-1,514175,-1,995163,-1,-1,32028,816476,-1,-1,946596,-1,61851,707169,-1,540458,-1,-1,537004,-1,-1,952449,237012,-1,-1,422831,-1,-1,-1,-1,663261,943611,347763,113197,908270,795111,-1,933740,155169,32296,-1,263547,-1,324412,-1,-1,870016,59407,374992,-1,12825,79790,959329,372639,343836,-1,59089,644820,-1,654105,91358,638937,777220,-1,-1,728958,558173,41054,-1,72329,-1,391004,-1,812024,230664,-1,866604,-1,866802,-1,-1,902914,593747,-1,604380,80523,46194,-1,-1,-1,-1,-1,437063,246935,-1,400440,-1,259162,946767,-1,-1,-1,-1,-1,551252,176603,7060,48028,906841,298455,886505,944709,472194,-1,-1,596732,-1,675219,-1,572047,-1,-1,179322,885519,234176,-1,-1,-1,-1,289885,347048,-1,-1,-1,-1,348859,81993,735775,669938,-1,-1,-1,-1,-1,452102,-1,629657,696726,-1,-1,-1,922267,-1,-1,-1,339144,-1,-1,618390,956976,137599,988323,-1,638302,-1,-1,-1,-1,411843,603489,826917,470805,778323,887750,527154,948205,786599,-1,139926,954712,-1,-1,871306,424580,791494,986561,629388,146468,822176,-1,-1,879023,801815,-1,304349,-1,470330,-1,463155,-1,-1,-1,645714,294144,-1,433103,-1,-1,19789,715892,5237,574951,-1,387428,-1,-1,832562,512847,364389,839047,960637,317208,872055,-1,698084,-1,495116,-1,-1,-1,858275,758049,-1,335176,-1,-1,-1,743748,-1,747442,-1,-1,964150,535142,-1,525247,400911,101174,974831,654626,-1,-1,375591,869477,-1,201824,-1,781898,-1,-1,503125,634680,-1,274463,-1,-1,-1,29086,-1,-1,-1,-1,-1,-1,258944,639385,-1,14248,-1,945939,942707,-1,688672,373557,699101,-1,517093,151396,753361,513492,-1,-1,591836,-1,519740,-1,-1,-1,955548,289634,-1,-1,236345,807362,-1,-1,-1,783259,-1,-1,603549,787431,-1,-1,-1,-1,-1,946804,178992,-1,41893,-1,467459,-1,820620,372440,831542,-1,-1,-1,-1,102146,424164,-1,-1,597581,-1,158431,620747,648049,98215,-1,-1,68510,-1,537906,183262,968618,162801,-1,286563,184549,-1,-1,-1,-1,-1,-1,-1,-1,-1,853591,663268,749650,329526,-1,920419,13882,-1,59835,737637,695007,-1,-1,278273,599625,-1,-1,855287,839212,699500,-1,-1,4526,21860,-1,-1,-1,927327,953153,-1,133362,989715,-1,20835,935207,-1,-1,-1,717768,168169,-1,795492,691434,-1,-1,81346,-1,669553,428371,-1,542533,-1,-1,-1,-1,658424,-1,-1,884085,705927,-1,-1,-1,-1,641655,527711,-1,-1,-1,285164,-1,748810,-1,-1,97482,166942,547254,-1,-1,-1,949976,-1,-1,722841,-1,-1,154969,-1,887344,-1,-1,-1,-1,-1,787533,325838,16774,-1,-1,291108,134698,-1,267053,36249,-1,850795,164912,-1,-1,-1,-1,-1,269773,-1,627157,147137,619918,-1,106753,446139,306112,419678,389195,-1,-1,-1,-1,-1,-1,-1,-1,949969,-1,174621,908788,-1,707455,-1,-1,-1,653590,600748,-1,539993,694259,-1,-1,-1,303408,-1,-1,-1,-1,131112,-1,239928,435423,-1,-1,751373,36185,-1,-1,37129,-1,-1,306944,-1,-1,457844,210927,-1,-1,-1,-1,-1,-1,-1,-1,373226,-1,-1,-1,922944,-1,-1,-1,685010,-1,-1,404652,-1,-1,149654,174481,-1,-1,-1,-1,178439,424124,344289,-1,-1,229429,541485,-1,898613,961572,-1,-1,622949,-1,289405,908244,-1,625360,840080,-1,375813,-1,-1,594048,-1,584959,460769,-1,264683,-1,137224,-1,-1,-1,-1,139524,-1,-1,663661,901022,-1,559002,851376,12090,-1,-1,-1,-1,-1,704466,-1,12375,-1,-1,-1,-1,679884,-1,294090,-1,-1,-1,-1,57526,510872,408084,651904,849466,251035,807327,127537,-1,-1,94528,805654,533977,-1,265671,328273,-1,-1,-1,-1,830274,-1,566050,-1,363145,-1,-1,-1,-1,-1,946915,-1,959267,924073,76956,56688,-1,740355,-1,24605,-1,-1,-1,543747,765949,-1,122606,660396,-1,-1,-1,221565,-1,941377,872764,-1,685653,-1,-1,-1,548141,17715,-1,315192,482377,-1,983516,-1,-1,532419,856205,-1,-1,763781,707793,384150,708589,-1,-1,-1,-1,-1,-1,948267,-1,646672,536342,-1,228449,353928,846270,105288,475603,485109,977855,-1,33523,108690,287281,57458,-1,-1,16986,-1,37827,43429,449470,-1,-1,552847,65921,865250,-1,819901,-1,66198,974423,-1,742556,226823,12744,-1,280718,-1,-1,-1,658330,-1,934171,551546,-1,-1,-1,477330,-1,-1,-1,735030,74772,-1,153079,306031,-1,-1,-1,-1,890743,290217,-1,743920,448204,707408,-1,-1,-1,-1,149022,-1,-1,-1,-1,-1,343084,-1,-1,-1,-1,-1,-1,-1,907649,23543,-1,905192,-1,951738,292334,158778,124900,781513,356560,954532,-1,-1,-1,98146,956829,-1,441129,37124,860107,-1,-1,35713,-1,300318,-1,135375,-1,365319,969721,-1,184620,347698,-1,-1,620197,-1,-1,-1,-1,995702,92658,455576,-1,318643,-1,526953,536930,-1,358543,-1,-1,-1,-1,876386,-1,-1,-1,-1,-1,-1,34663,199672,-1,505732,625317,216783,20559,117946,68167,-1,-1,46903,-1,-1,93283,71241,364653,897752,-1,223292,-1,438449,-1,-1,-1,756840,-1,-1,190150,189439,-1,808273,-1,708095,863701,-1,419712,-1,-1,815560,-1,-1,687887,228067,865036,457704,477911,-1,-1,671017,874646,696956,500680,145551,-1,-1,998597,442260,-1,-1,-1,-1,551205,-1,911701,-1,-1,-1,-1,-1,136418,833526,292483,-1,600274,-1,283310,-1,-1,-1,-1,464934,93781,225175,-1,347029,271057,744506,-1,-1,490105,325356,682664,-1,-1,949988,-1,584286,162773,44970,-1,135230,545588,-1,-1,-1,999663,-1,-1,401775,894517,952257,-1,-1,-1,-1,29801,-1,965902,-1,860801,-1,916090,639369,557214,-1,87072,439919,990926,-1,-1,-1,765861,-1,-1,156126,-1,140501,866791,838100,761910,-1,-1,-1,675557,887916,-1,75229,-1,-1,630611,-1,388920,18997,597193,765324,315916,-1,-1,967029,169206,986408,337253,-1,-1,465246,-1,-1,441961,691369,116382,441646,-1,729733,895004,-1,-1,525700,-1,19263,786381,-1,453078,411503,554054,-1,169603,152143,673125,-1,973303,-1,-1,562912,164247,-1,777279,441785,619789,-1,-1,-1,326247,-1,832281,830082,992099,-1,477948,-1,366357,679599,-1,946034,369104,414238,-1,524193,-1,-1,524481,709371,-1,120337,352201,385128,112961,973157,-1,-1,375341,-1,168667,643222,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,449009,-1,-1,958154,316806,-1,-1,46618,964387,-1,912342,133181,866901,-1,-1,714276,-1,288509,-1,-1,304690,-1,559412,-1,117709,-1,-1,612062,-1,323511,-1,711769,617429,-1,612874,265382,-1,-1,-1,439628,603454,-1,-1,646380,-1,-1,-1,119028,-1,999762,947032,-1,-1,248454,704381,-1,-1,201561,-1,126556,256123,380011,-1,911669,329040,-1,715557,-1,-1,-1,699351,-1,-1,-1,-1,-1,719901,-1,921493,-1,-1,620191,-1,816046,212656,-1,-1,214519,-1,808234,-1,-1,-1,165503,-1,-1,245313,890865,-1,162288,995994,-1,-1,865060,-1,920792,646440,-1,-1,-1,-1,592331,277429,726333,664262,276865,202882,738387,708012,-1,733386,-1,339674,901684,-1,743123,-1,313879,-1,276382,804885,988220,234917,-1,-1,-1,770081,-1,308292,-1,-1,533052,997777,515571,-1,143826,-1,699244,251061,618680,-1,-1,-1,-1,-1,428345,987733,985287,434230,639543,-1,-1,530013,379495,-1,562507,-1,-1,-1,-1,-1,-1,752164,-1,-1,920768,-1,197975,773650,-1,834152,406818,-1,192440,463419,-1,-1,-1,466667,835713,226909,63262,799036,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,991788,-1,-1,-1,-1,-1,552623,639905,111652,663675,-1,-1,274852,499555,996228,-1,-1,-1,-1,-1,-1,-1,-1,590156,-1,115444,84189,-1,-1,313224,62444,-1,-1,-1,-1,459514,-1,-1,-1,-1,573080,-1,36277,-1,-1,-1,-1,864833,-1,677405,769889,-1,720940,-1,144556,939369,117058,775889,959003,951092,537742,-1,599425,-1,407979,-1,-1,333245,-1,-1,489044,950600,425313,599267,38722,260691,387568,-1,729063,-1,-1,-1,543196,-1,3398,-1,-1,655044,-1,194857,-1,557203,795184,3967,603902,110677,-1,288702,-1,268984,-1,874325,168831,727032,-1,496041,-1,146751,-1,-1,-1,218785,314056,558387,284869,-1,73513,-1,460117,23962,175096,857556,-1,426832,-1,-1,746396,791683,-1,87411,-1,-1,-1,338052,47596,824254,-1,-1,-1,-1,620494,-1,913717,384516,208957,470484,94414,-1,122395,163122,532307,384334,-1,450396,836563,-1,-1,-1,-1,988468,-1,-1,-1,-1,-1,-1,58509,-1,-1,-1,-1,487616,256194,524590,-1,-1,937387,873010,892736,834577,262728,275731,525250,164075,580516,-1,-1,358609,593235,-1,-1,-1,641963,848678,-1,364312,345356,-1,-1,166195,-1,447033,-1,-1,-1,-1,528367,-1,970166,434136,441192,144349,-1,-1,-1,-1,212471,750513,665691,-1,-1,627781,30635,453330,552162,441782,-1,-1,807701,85689,248411,-1,-1,-1,111209,-1,-1,-1,948520,448569,565670,-1,113031,848149,-1,-1,454011,-1,-1,-1,628517,649310,-1,485093,-1,-1,111843,390438,-1,740347,-1,587639,-1,362609,-1,-1,406187,-1,714010,424503,-1,-1,-1,75564,-1,968015,-1,374972,662459,-1,594332,-1,299492,372413,-1,-1,431603,-1,37780,-1,675256,-1,-1,301166,699703,755052,269093,232235,-1,-1,-1,233937,254416,-1,-1,-1,-1,-1,305820,804523,-1,127085,15423,-1,118595,-1,886639,-1,781163,747781,-1,732110,-1,24585,-1,773501,-1,874901,865793,-1,-1,-1,-1,519624,781826,957781,-1,-1,615095,-1,349385,512080,927480,-1,595727,-1,853937,560786,-1,639504,-1,616044,943874,-1,531617,-1,164723,361887,-1,-1,166913,946244,815712,210968,929251,889651,8764,421638,-1,-1,-1,-1,-1,-1,988906,544641,771138,203754,-1,172085,753167,715549,-1,-1,297310,-1,-1,-1,762592,601003,688646,-1,561252,352906,84361,-1,10496,459853,695337,-1,857749,676902,183417,256050,-1,-1,-1,74325,562514,134943,-1,958771,188546,954436,-1,-1,-1,451529,-1,666974,-1,336189,563605,641685,-1,-1,-1,688082,324997,208649,656065,713341,-1,-1,687951,-1,680352,-1,-1,47608,-1,-1,-1,-1,395418,701055,-1,-1,651195,922173,56130,388489,857944,965290,355414,274707,808206,-1,87820,-1,500569,892751,481715,-1,-1,359614,-1,-1,497423,744084,285419,-1,596725,-1,257272,-1,-1,-1,-1,-1,-1,782374,-1,-1,217012,773887,-1,-1,515678,633539,809976,-1,83788,-1,748095,751691,394378,773816,732606,-1,-1,497167,-1,-1,884984,288425,483524,135178,-1,-1,192788,-1,-1,-1,-1,-1,508138,-1,-1,123094,594481,437677,-1,428561,556239,807626,-1,-1,226195,448307,31754,289238,-1,151594,-1,-1,-1,-1,-1,-1,258215,218260,956600,-1,464967,-1,261057,-1,-1,493403,-1,77977,409068,462852,532144,-1,-1,-1,903009,995848,-1,-1,-1,-1,-1,787775,804695,-1,897933,499444,-1,580242,268990,-1,-1,974698,-1,-1,-1,541707,-1,915279,-1,320196,-1,-1,-1,644399,938195,-1,-1,-1,810091,-1,239331,655857,522002,-1,-1,334940,-1,26283,887872,-1,-1,-1,-1,-1,257328,-1,949876,-1,871689,-1,380794,119617,-1,21544,729451,-1,-1,3771,798418,385576,-1,-1,716711,439736,170956,-1,-1,602966,1148,831808,-1,-1,-1,-1,975962,666173,979241,252984,371783,650364,173439,806920,88932,-1,-1,687157,-1,938289,738566,285248,285016,-1,-1,-1,-1,-1,-1,126203,-1,780553,494737,174263,775244,-1,914182,-1,-1,63003,-1,-1,-1,738196,-1,-1,624925,547552,1154,960588,-1,-1,819974,-1,-1,414757,-1,564602,328754,412732,-1,-1,663643,199644,-1,923682,-1,-1,-1,-1,-1,-1,-1,546141,777590,559786,263401,-1,586517,524318,-1,-1,-1,734144,634039,-1,-1,805219,461646,-1,-1,-1,995424,-1,764886,-1,-1,515964,-1,-1,-1,-1,-1,543921,985650,601307,-1,466890,-1,424623,225096,-1,373315,127184,277582,-1,319973,178526,-1,712410,-1,-1,-1,126247,-1,-1,-1,457106,-1,-1,480843,-1,978524,-1,364519,-1,119308,-1,-1,792059,956969,833202,-1,365522,9627,692294,-1,984380,-1,-1,-1,607419,-1,-1,-1,-1,-1,949541,174990,415251,-1,-1,48519,357259,920882,699429,-1,-1,-1,545764,777396,667819,-1,37271,69079,-1,-1,950309,-1,802638,700198,-1,-1,-1,714815,705621,156164,80940,428002,-1,984847,-1,-1,-1,-1,735024,94233,458581,887633,186739,322325,-1,610387,-1,-1,-1,323056,-1,-1,-1,491632,-1,412244,-1,542727,996224,-1,591293,-1,-1,-1,-1,-1,265927,621038,-1,309087,-1,535111,-1,731889,277865,-1,74758,-1,435091,507766,593611,205080,918343,604210,-1,-1,963047,782183,968973,448848,-1,-1,-1,-1,922294,21382,3772,-1,757863,465410,134094,332058,61538,-1,-1,514414,-1,-1,-1,-1,-1,-1,-1,-1,-1,688904,42657,-1,-1,486708,733296,36188,-1,-1,-1,5880,-1,465195,105778,-1,-1,197491,50626,-1,-1,-1,-1,-1,-1,-1,308706,867221,-1,900549,16768,591548,263623,537053,-1,-1,644508,-1,-1,-1,-1,-1,-1,42487,-1,601325,-1,-1,346446,-1,969561,-1,518285,-1,-1,-1,-1,-1,742841,88806,271443,548876,441455,552451,251673,353639,442331,-1,992257,629059,-1,95021,-1,978711,804718,297015,956328,298006,-1,506501,195303,-1,-1,-1,970271,878561,-1,-1,656113,-1,-1,-1,-1,-1,-1,833172,-1,515741,557149,-1,277989,-1,536285,892554,805522,-1,-1,563356,131170,-1,401715,-1,-1,307983,819137,-1,878530,-1,7371,193183,-1,-1,-1,-1,656381,424870,-1,-1,611535,-1,-1,-1,-1,-1,27391,-1,-1,294732,329537,-1,219956,-1,597406,-1,72905,-1,45354,82160,-1,859505,-1,-1,-1,-1,372889,-1,-1,61708,-1,-1,-1,-1,-1,-1,-1,-1,-1,917725,618298,-1,8078,277408,579465,349645,822925,-1,18183,592056,860652,-1,133146,-1,-1,972465,-1,-1,-1,-1,394121,-1,699117,-1,606583,-1,-1,423808,380140,742576,-1,-1,-1,42496,-1,307568,880597,-1,-1,126852,198912,-1,699005,-1,-1,-1,282620,-1,-1,-1,-1,-1,749454,590382,-1,-1,-1,-1,653815,-1,-1,-1,683091,-1,-1,-1,449946,432639,703461,935894,911140,-1,-1,-1,-1,-1,-1,908559,804743,892127,189359,337543,-1,-1,-1,-1,347356,992378,-1,-1,-1,-1,754208,483494,738133,-1,386504,-1,894794,-1,977628,645617,399892,232332,-1,-1,-1,495226,978898,690298,594697,-1,534648,337623,761857,366770,565345,927481,-1,491721,-1,-1,253609,-1,71937,466867,170173,19448,-1,-1,447041,191485,776132,-1,88652,-1,904281,972307,77736,406723,57845,-1,-1,210801,-1,369098,334761,-1,-1,-1,-1,89045,840096,-1,-1,807460,-1,526193,-1,-1,446477,-1,-1,618652,47113,-1,-1,674506,364033,-1,-1,-1,-1,-1,937462,-1,386979,-1,-1,-1,593787,-1,490733,-1,-1,381508,345013,207563,598299,-1,769887,965115,428921,-1,30390,-1,-1,-1,-1,596577,729259,605390,616937,395979,315339,-1,-1,199229,-1,-1,-1,639242,-1,739422,-1,-1,609759,982741,-1,465446,-1,-1,785727,-1,244511,893096,-1,-1,194581,338171,530993,458620,859172,-1,420451,618845,-1,425448,-1,-1,-1,-1,651682,600808,-1,184811,-1,-1,337610,-1,-1,895006,-1,-1,51258,734375,-1,49605,-1,453732,-1,688443,655328,657570,472723,-1,-1,167551,-1,-1,-1,440726,729116,691361,-1,246909,-1,-1,713628,-1,574756,671906,426197,748783,655249,705933,377632,-1,505154,191660,642188,211974,-1,-1,-1,-1,-1,753994,-1,551675,680794,-1,445292,-1,139480,-1,-1,449314,660227,-1,586433,799426,475832,925855,-1,-1,494893,197053,-1,-1,-1,-1,-1,711249,-1,172776,-1,-1,-1,880382,-1,-1,-1,-1,-1,-1,-1,977833,-1,-1,-1,124784,-1,-1,282415,-1,904147,446737,224354,-1,963374,-1,-1,145302,-1,-1,-1,-1,-1,680096,-1,528025,598259,375436,706354,-1,-1,76472,798858,-1,917438,798751,889077,564108,-1,873255,-1,-1,-1,326784,-1,367575,281708,142585,-1,-1,495973,-1,986742,528511,182764,-1,-1,-1,-1,-1,-1,269936,-1,902401,144323,-1,-1,134553,548393,815412,789139,-1,268762,-1,169736,-1,520160,987410,172477,21415,601389,675061,-1,-1,605691,-1,64682,654697,-1,592310,-1,-1,-1,-1,-1,-1,922258,-1,-1,763955,41614,123910,430365,-1,496697,846507,507610,-1,729494,35600,321786,885780,619213,562247,-1,508125,-1,149770,-1,686015,-1,270479,-1,-1,-1,-1,639793,246943,688934,135389,205391,-1,-1,163401,249761,723826,-1,-1,632495,453876,790942,-1,-1,44855,853503,33685,-1,-1,901089,-1,255043,166424,-1,-1,-1,-1,-1,-1,772202,700638,334922,296475,-1,121116,-1,-1,-1,775148,-1,801248,-1,908643,-1,364505,-1,-1,-1,705560,630447,181068,-1,415419,-1,854431,-1,938459,32720,663097,764088,-1,-1,-1,822465,-1,133798,476987,755145,-1,95835,-1,836154,-1,-1,751823,383188,471902,-1,-1,-1,-1,144795,27777,88069,-1,-1,-1,919973,872953,919497,421294,-1,56992,364586,598105,-1,24055,784349,-1,272439,-1,-1,-1,149879,513203,84160,-1,193967,130135,801457,-1,777591,-1,-1,-1,436443,-1,-1,332449,37435,-1,-1,283687,745263,449015,-1,-1,976391,514381,-1,-1,126379,-1,224691,399743,220623,-1,-1,957791,-1,-1,-1,22921,-1,72517,95887,-1,673312,184532,814531,441633,-1,-1,-1,17066,-1,95126,-1,621607,612251,-1,-1,636189,-1,16904,-1,70267,99258,236581,-1,-1,924306,-1,-1,-1,-1,-1,439619,-1,982390,220097,-1,456110,-1,23231,-1,406527,216387,417790,817002,-1,402082,-1,57442,124620,-1,381475,348096,345986,131916,568954,-1,-1,-1,-1,17775,-1,310577,742978,-1,665885,300276,-1,-1,500451,-1,-1,-1,-1,-1,-1,51595,-1,330629,436731,-1,-1,-1,-1,-1,795461,-1,283215,-1,-1,-1,464953,373670,828880,-1,-1,-1,-1,699560,672952,-1,-1,849617,-1,971293,480367,-1,-1,771882,413007,162642,616239,767735,-1,-1,479288,500019,915623,-1,797010,-1,-1,277928,547909,493075,992264,-1,-1,225538,-1,760036,92078,145549,-1,801207,91066,345133,900293,585621,-1,36901,-1,341683,-1,-1,-1,378552,867172,-1,157134,-1,354659,-1,73244,969026,-1,-1,329595,-1,130381,693310,-1,-1,-1,780816,827971,-1,-1,96206,594556,-1,-1,298872,223496,-1,961553,-1,-1,-1,695435,-1,478506,-1,427126,-1,-1,-1,867675,665490,-1,730192,-1,-1,-1,-1,-1,-1,345892,780588,-1,263880,719875,839426,-1,-1,982187,-1,-1,426642,783911,-1,698606,958491,-1,-1,76251,104,-1,-1,-1,-1,-1,536239,983119,-1,573220,619537,318046,181092,-1,758926,645599,551895,43476,335198,-1,-1,-1,-1,-1,782472,-1,-1,422245,-1,-1,-1,964341,44209,575375,320720,-1,-1,591381,-1,-1,196094,732112,-1,-1,387155,-1,608993,-1,289381,-1,268178,-1,-1,-1,460385,669505,618953,661150,819461,720260,477905,882625,910568,-1,-1,-1,496530,-1,439249,11467,403899,868246,-1,198143,469264,-1,-1,-1,96489,71438,-1,813868,-1,-1,-1,132391,-1,-1,228857,310204,719012,867691,908273,600396,438306,-1,-1,316501,479755,-1,443961,-1,-1,576701,-1,-1,19243,-1,186743,-1,974119,396335,-1,722402,845384,439609,-1,483282,46270,193413,732946,-1,-1,-1,-1,73841,785392,108046,623894,-1,570831,763917,406552,-1,202541,381262,947435,751702,89590,-1,-1,932938,-1,390930,-1,-1,449741,232339,-1,477501,-1,378347,335539,-1,492811,16855,-1,229983,-1,-1,-1,617855,503531,-1,141126,669585,73224,-1,956240,91362,-1,-1,-1,-1,166400,835040,13379,-1,-1,-1,49846,17165,879311,50888,-1,-1,-1,935954,63157,-1,805562,-1,-1,649136,-1,329225,824327,-1,473270,249804,498886,-1,-1,422791,-1,-1,-1,302380,-1,-1,134494,924944,-1,-1,-1,-1,-1,-1,-1,816414,417442,708690,-1,459638,546635,770305,487179,757200,-1,345705,494651,677166,-1,792444,956355,-1,-1,-1,-1,-1,-1,70150,604689,-1,-1,-1,915977,258968,-1,-1,644248,-1,-1,714345,-1,726817,-1,-1,-1,860833,2165,-1,411351,976085,-1,-1,-1,-1,765354,-1,-1,336360,-1,-1,-1,608944,-1,-1,-1,-1,-1,-1,151047,-1,-1,691834,429523,703574,-1,-1,-1,-1,71513,-1,489471,797006,738194,-1,-1,340228,34728,882693,367715,304611,-1,805075,-1,-1,-1,445103,615261,620346,-1,430241,65683,100045,-1,-1,630174,-1,689826,-1,817392,-1,-1,-1,835285,-1,508446,294448,781969,-1,-1,895280,853794,-1,974350,-1,249997,-1,-1,100853,239583,-1,-1,-1,861910,-1,-1,472794,862136,-1,899385,-1,-1,-1,734473,954909,-1,728573,-1,161061,474464,369021,612537,-1,-1,631123,431398,960676,713883,-1,-1,-1,-1,-1,727020,-1,557418,-1,798468,-1,971164,282070,-1,289158,-1,-1,-1,65658,-1,-1,831293,-1,640689,-1,-1,143583,350257,-1,912982,-1,4230,870078,-1,-1,-1,817622,-1,357707,-1,359214,675236,309990,525955,-1,-1,658556,-1,-1,-1,405534,283393,-1,-1,-1,-1,-1,-1,561509,254883,310961,958267,170423,388962,-1,-1,-1,851025,-1,-1,87419,-1,-1,477813,825122,-1,-1,721786,-1,407523,-1,13972,-1,360039,-1,-1,-1,389191,975991,258768,137188,472402,171064,-1,139861,215779,395500,-1,-1,827636,728470,-1,-1,833868,-1,747534,879703,563975,535980,440570,-1,-1,-1,-1,-1,-1,115405,295833,155593,-1,969696,609568,638578,656522,822385,893132,952360,547011,414517,322582,-1,748184,829139,359917,129328,113269,182538,-1,324374,130048,381595,578570,-1,870899,-1,-1,287103,886102,-1,-1,-1,326163,-1,-1,500647,-1,678111,189276,-1,-1,355350,-1,-1,281275,661865,-1,-1,-1,10560,-1,43394,-1,492871,63877,-1,782882,610485,-1,166715,209845,529421,-1,974080,-1,114190,-1,270487,805133,632976,537622,506013,-1,-1,-1,-1,-1,-1,439081,87122,759371,-1,875282,790043,647127,-1,-1,-1,-1,-1,-1,-1,863471,-1,855936,951200,-1,-1,66558,-1,-1,-1,773080,175383,274349,-1,247416,-1,-1,-1,-1,466392,507909,220223,622177,2354,-1,-1,-1,-1,161561,-1,-1,-1,-1,-1,557842,-1,-1,-1,655367,44977,888981,-1,758171,304464,610193,342768,-1,922643,751643,-1,-1,-1,-1,79049,944976,-1,239984,437250,285566,-1,-1,60580,-1,-1,611057,-1,-1,-1,418547,376219,377882,-1,746174,525453,1649,-1,-1,-1,-1,79634,284242,590031,-1,-1,280205,-1,-1,13641,-1,99477,-1,795068,-1,467408,-1,-1,511196,-1,-1,72240,-1,401717,369636,252379,57910,-1,213307,-1,-1,-1,960538,319110,15255,-1,460705,242614,345099,-1,-1,480837,-1,733285,649334,-1,-1,706888,863311,-1,-1,-1,-1,-1,629950,-1,-1,733204,-1,553564,428671,-1,-1,-1,-1,-1,-1,-1,126298,-1,411564,-1,-1,582799,-1,609661,-1,-1,116278,867340,-1,215351,-1,-1,947366,-1,-1,-1,269413,960564,-1,-1,-1,605184,184855,755530,-1,27519,969845,-1,-1,-1,-1,562034,269105,223415,-1,727878,-1,-1,-1,145113,-1,387126,684911,-1,815078,-1,-1,-1,441752,939516,-1,173848,266860,-1,5110,-1,895959,-1,465219,-1,-1,997804,-1,-1,393855,-1,774433,-1,602148,-1,699699,-1,855727,-1,365995,181501,-1,-1,-1,493436,675391,-1,-1,870195,-1,339733,107377,447591,353297,-1,167726,-1,805583,-1,-1,803692,-1,-1,264693,68818,789040,-1,902812,849730,-1,169288,-1,230241,89459,-1,417081,198494,-1,-1,930903,-1,-1,-1,545610,42023,658380,-1,520186,355857,949799,-1,246047,291944,141357,-1,-1,903503,310868,302509,535256,-1,797488,16394,-1,819857,330024,717785,226644,-1,-1,162492,-1,-1,-1,281299,319196,-1,-1,-1,-1,-1,881222,754911,-1,495056,-1,-1,-1,-1,-1,-1,382609,604587,-1,-1,-1,441438,-1,-1,138369,-1,410942,-1,633535,-1,500870,862754,-1,602925,-1,190926,-1,-1,-1,-1,-1,4433,539283,-1,-1,-1,696901,-1,-1,-1,133359,592575,297821,301587,-1,-1,110683,-1,-1,-1,796812,-1,393671,-1,677510,273205,233225,-1,-1,817032,-1,874581,373006,976591,915151,-1,996554,470042,-1,-1,-1,337247,-1,-1,-1,-1,15139,982733,-1,11571,492182,512479,-1,305647,-1,-1,-1,-1,370477,-1,355424,-1,754643,-1,261787,-1,-1,22256,203427,-1,-1,864418,-1,-1,-1,-1,-1,-1,765029,875270,-1,504014,-1,83590,-1,815802,564664,-1,214060,440586,568186,585123,204711,-1,-1,-1,988850,-1,-1,138682,-1,-1,-1,-1,-1,908917,-1,554311,-1,-1,273679,593151,161616,735630,322263,-1,-1,-1,-1,-1,700228,-1,880397,582702,561551,640481,-1,969278,483151,619106,-1,-1,-1,-1,-1,561448,776634,492394,56261,232165,533147,-1,-1,-1,-1,-1,-1,-1,-1,998432,-1,-1,437073,-1,113297,-1,950465,509341,-1,966184,471881,38062,240662,195290,-1,-1,145186,777830,-1,250123,159089,-1,361855,-1,582531,-1,-1,613418,141303,-1,-1,-1,652411,287745,371260,-1,652170,654878,265272,-1,-1,654061,-1,-1,426020,-1,-1,-1,-1,-1,-1,343971,992412,-1,986343,814997,-1,369047,-1,103169,725653,-1,-1,590727,-1,776963,-1,-1,2183,483906,-1,-1,65541,-1,976824,-1,-1,-1,-1,-1,-1,748346,990477,399324,-1,-1,64944,-1,317550,856447,-1,259846,513457,-1,-1,-1,-1,710340,145979,-1,650867,798284,688041,791416,-1,757109,-1,-1,225749,60068,-1,-1,385157,601843,856404,-1,-1,616100,-1,-1,330199,437027,623205,-1,-1,-1,-1,-1,530050,-1,574518,446758,-1,636660,-1,-1,921202,-1,597588,-1,-1,961754,631748,-1,-1,-1,-1,-1,-1,646895,-1,763566,-1,826973,-1,-1,900863,-1,473340,645999,540469,-1,22033,-1,-1,534914,-1,977399,-1,-1,123061,842106,-1,574263,907119,-1,730717,-1,914106,-1,460764,-1,525870,-1,600268,495126,200410,-1,-1,538640,-1,-1,-1,-1,-1,-1,58249,-1,-1,-1,924950,780156,86013,852751,623040,693162,672416,625376,67721,-1,-1,773998,663204,61873,8249,176290,-1,411539,177466,749989,-1,188,286582,-1,279175,672963,674571,-1,776069,-1,299215,-1,-1,-1,423406,-1,182067,298227,229894,956500,470854,-1,-1,48212,543194,609851,-1,-1,91546,261454,373470,-1,411201,-1,995345,483980,231536,955936,-1,459822,163633,-1,746510,-1,774053,-1,207493,15501,56852,-1,-1,984046,486281,45880,-1,-1,-1,-1,525312,45604,-1,304369,-1,-1,167374,768262,-1,980293,-1,457598,-1,-1,-1,-1,-1,-1,388611,-1,-1,-1,758907,-1,149926,-1,647380,562930,-1,-1,973907,857101,-1,846333,125913,598961,964079,150405,-1,-1,-1,-1,736163,669399,604721,70156,-1,-1,236830,-1,935495,-1,-1,517310,-1,-1,-1,-1,-1,-1,866141,-1,791122,847987,-1,-1,-1,815797,-1,-1,-1,798429,-1,-1,672870,813658,-1,421577,997475,434434,662521,255241,11799,-1,-1,945745,322922,825825,-1,-1,738895,789677,650152,-1,401938,177933,760593,-1,-1,24481,96210,310743,-1,-1,-1,118105,-1,-1,-1,653641,-1,-1,-1,473695,186045,581997,-1,-1,419025,729866,60136,-1,-1,-1,-1,-1,858599,268637,-1,4541,-1,309428,336783,-1,740333,-1,-1,-1,-1,455264,-1,907042,484808,333524,209193,590481,-1,869465,-1,678679,-1,213733,207312,825817,477556,-1,118406,-1,-1,-1,-1,288849,-1,-1,-1,618239,-1,-1,615676,430096,534802,-1,434044,817013,518675,288649,661027,-1,-1,388413,589760,-1,703837,-1,345609,184555,-1,-1,35254,42540,89594,644067,741941,542756,349023,896637,438863,999602,-1,331521,610862,-1,-1,-1,-1,-1,614252,-1,-1,357024,-1,484552,487385,636338,15450,840350,13014,399709,-1,867973,381151,928026,900371,-1,-1,905689,-1,727611,915545,-1,-1,422681,438278,-1,-1,620558,-1,92554,696706,318596,851148,-1,-1,-1,217209,127681,-1,-1,600507,-1,73861,446727,149596,582781,-1,-1,-1,622438,-1,583048,-1,809935,-1,793815,902993,-1,234143,-1,-1,-1,-1,-1,695341,-1,-1,590304,-1,446825,102001,898127,992522,118159,-1,-1,613681,-1,-1,44961,22885,-1,190258,236864,-1,521441,731436,356363,-1,543483,-1,-1,135843,243702,-1,-1,-1,683635,-1,-1,585812,933573,415145,13157,-1,-1,679237,625247,304688,281069,11521,-1,-1,-1,-1,777815,-1,-1,-1,-1,-1,669965,508635,-1,-1,285869,-1,319768,-1,232580,661043,-1,-1,743273,-1,-1,-1,-1,342377,-1,978761,-1,851501,18009,619718,182023,420293,977561,612574,421124,202356,531015,-1,-1,91727,204480,585401,257178,349335,468146,275847,-1,-1,-1,547289,-1,874279,169041,807558,85621,-1,-1,-1,907442,224479,693262,-1,-1,-1,-1,-1,-1,-1,-1,423784,544190,645410,-1,-1,-1,920057,19981,-1,957197,-1,-1,371362,856717,91747,313377,-1,-1,-1,809952,-1,-1,-1,704897,-1,100714,974336,-1,196635,-1,664150,929323,842517,-1,5201,687264,-1,-1,-1,76043,661431,-1,344538,-1,-1,411580,897037,-1,21674,-1,-1,-1,848159,725262,199131,-1,817894,179311,899699,-1,-1,-1,164032,46284,-1,832608,-1,-1,433892,-1,-1,-1,352501,266300,805639,-1,11013,106758,356446,-1,-1,709639,-1,-1,248944,240589,525364,859772,825274,248414,-1,327439,-1,884622,-1,505108,770499,-1,304821,445233,-1,-1,305841,211761,239777,719376,536972,-1,518923,-1,629052,-1,313358,315289,-1,226695,-1,507507,431769,1315,334375,697752,-1,164215,-1,-1,-1,-1,-1,446233,684092,320528,138258,-1,-1,-1,-1,513526,226146,-1,508266,-1,-1,-1,289566,211591,266334,-1,489328,172527,360743,343437,-1,736362,-1,-1,132273,-1,-1,-1,-1,-1,316736,-1,-1,-1,-1,-1,602454,-1,-1,209091,562942,283520,-1,-1,-1,960773,-1,-1,413015,-1,-1,-1,704604,580690,918539,-1,760570,383760,50802,-1,502038,-1,332149,63624,-1,636619,-1,762470,-1,578969,905277,-1,533393,-1,-1,720536,-1,780001,-1,235476,-1,627166,902913,929755,-1,-1,914255,-1,899205,324512,381320,-1,518054,466698,574169,-1,-1,-1,-1,-1,-1,-1,-1,594420,441783,230042,-1,-1,568881,552192,-1,-1,461210,-1,300473,-1,-1,345871,-1,-1,918105,-1,-1,-1,-1,61707,938689,-1,-1,400775,280745,466917,-1,-1,-1,333731,223326,-1,847791,-1,-1,-1,-1,-1,-1,243957,-1,622181,-1,231805,851627,-1,967726,-1,-1,467322,364102,729386,31850,876475,810032,-1,968855,-1,-1,814773,713048,-1,-1,474169,433901,-1,544473,866628,-1,978380,-1,363242,-1,478750,68770,613148,11157,351618,-1,-1,962244,538240,-1,-1,-1,-1,80856,-1,-1,701240,708907,918756,502003,-1,714806,-1,529560,927940,-1,235345,643830,581758,-1,376401,-1,247182,131754,-1,-1,-1,-1,-1,-1,169776,-1,-1,-1,-1,198571,-1,-1,845830,26401,479404,-1,944217,-1,-1,-1,-1,685677,132413,-1,-1,250903,-1,-1,-1,-1,-1,-1,962927,596756,-1,120821,-1,738213,-1,784184,376535,232982,-1,287518,-1,-1,-1,788071,194137,-1,-1,744740,-1,-1,-1,-1,-1,451541,-1,152164,857428,431828,-1,-1,90112,124762,471261,746265,-1,168941,659117,-1,127392,-1,982605,-1,-1,68989,-1,-1,802100,117569,-1,390972,-1,689492,-1,708324,28495,-1,92437,518356,346133,994861,820500,-1,363371,-1,-1,811911,-1,121727,659707,149125,-1,-1,506683,-1,746721,445934,787069,-1,-1,666826,-1,826606,425253,-1,-1,516350,-1,74043,-1,-1,-1,405969,482187,-1,849439,360004,853824,37016,245291,737029,210407,-1,-1,-1,-1,-1,-1,-1,-1,-1,689835,734393,54616,-1,-1,-1,-1,-1,-1,507482,993780,178687,655433,-1,-1,-1,-1,-1,605288,165328,-1,-1,-1,-1,79336,811266,-1,-1,-1,37698,90304,92159,602532,-1,187183,-1,-1,803434,459543,-1,107168,972285,569948,818634,-1,641019,324959,538571,129356,582103,873309,656847,-1,775560,-1,-1,-1,-1,-1,314885,208869,573406,-1,129052,-1,46647,-1,-1,-1,-1,577726,-1,442088,-1,-1,205864,552918,-1,841049,655908,787898,733540,167537,-1,-1,706923,9734,453711,967691,720864,650953,-1,-1,317738,-1,426479,647333,-1,-1,234480,190307,866131,670126,-1,-1,700359,180828,579511,655378,997354,-1,-1,-1,-1,-1,-1,413708,-1,743295,-1,359104,865612,-1,-1,-1,-1,536793,568553,-1,-1,267831,517820,-1,-1,-1,-1,502053,-1,287206,-1,-1,320349,-1,-1,360432,969843,314854,846781,790192,191000,-1,-1,449831,-1,582043,22305,-1,812793,-1,209202,-1,-1,-1,-1,-1,149419,501884,107998,-1,-1,200191,211347,848968,-1,-1,-1,461353,-1,617616,-1,631195,-1,679477,-1,-1,316369,-1,234272,-1,964628,535380,363599,896729,-1,-1,688837,-1,988227,-1,610394,270145,-1,-1,-1,523592,-1,220124,296623,-1,-1,449750,-1,-1,244139,86412,-1,749082,141644,101922,-1,-1,-1,-1,-1,-1,632474,469535,857939,-1,-1,-1,202060,-1,-1,-1,403015,-1,-1,-1,-1,91869,-1,129625,32740,582936,905325,-1,471992,695418,-1,405679,721515,274901,896372,817831,-1,-1,615672,-1,-1,283735,703019,984682,809992,830281,-1,-1,533251,788699,-1,-1,-1,441432,-1,-1,-1,-1,-1,-1,-1,-1,343947,873805,792060,-1,-1,544948,-1,-1,-1,696672,743916,-1,-1,-1,24027,-1,252293,-1,647064,-1,-1,893017,350762,78392,478280,640813,829466,-1,408253,-1,-1,512074,911854,938215,-1,504400,-1,989623,-1,8947,614265,-1,527165,470125,-1,645310,-1,-1,605759,-1,836905,-1,613794,55961,-1,482297,764356,792847,151232,431348,651390,841038,-1,434679,-1,-1,550490,-1,-1,-1,996326,-1,-1,98293,-1,-1,218462,-1,-1,-1,244853,615179,-1,918784,-1,844482,-1,-1,-1,751118,-1,-1,-1,-1,-1,311196,372624,845026,-1,903603,98652,-1,-1,-1,872556,-1,517110,994353,-1,-1,-1,540039,-1,-1,772899,404621,-1,-1,-1,872524,-1,536136,-1,-1,187329,-1,-1,501538,11898,258561,-1,334408,814004,873308,185451,885604,582526,-1,-1,359294,-1,219536,-1,417118,-1,223399,354395,-1,402910,694110,-1,-1,326851,717108,844219,-1,678802,-1,-1,802608,-1,568977,-1,954122,-1,-1,-1,259725,-1,887854,-1,292944,126352,528980,-1,634469,363719,298477,-1,-1,-1,575661,112243,864970,898649,484544,-1,-1,-1,415995,874892,-1,193342,-1,-1,-1,498589,686141,-1,-1,535104,105443,-1,968922,539479,522890,246338,-1,962806,-1,277266,549202,-1,-1,-1,-1,827288,-1,195857,443356,346114,-1,-1,-1,120175,538243,-1,-1,698833,786109,987766,520007,-1,-1,964522,57276,-1,393834,-1,-1,-1,-1,362197,-1,-1,801570,-1,893892,254912,413243,-1,367479,-1,73641,216103,792859,-1,394586,-1,-1,878917,308549,328816,454138,531348,618504,961917,651791,793313,-1,825561,351900,-1,802618,168219,-1,571049,104209,754723,-1,280532,-1,463433,-1,490692,-1,419581,-1,-1,209296,-1,-1,651451,-1,-1,98638,-1,-1,907326,-1,-1,288233,-1,215161,336966,-1,855781,-1,964212,798617,958661,647313,77026,900612,-1,877285,134754,860669,115666,405668,739598,306470,-1,569139,-1,-1,473588,747661,-1,-1,-1,939118,-1,466276,-1,-1,956939,-1,-1,-1,-1,-1,164521,332512,-1,994120,-1,-1,-1,886575,108540,929518,-1,-1,-1,-1,451482,281519,-1,-1,-1,-1,-1,403763,934816,637778,-1,294646,788320,-1,-1,623262,-1,-1,742624,518588,-1,-1,15790,319629,61830,268486,-1,-1,-1,-1,-1,-1,-1,602359,474845,22542,864772,498435,-1,879597,-1,-1,587216,-1,-1,-1,94938,-1,-1,443995,915706,-1,-1,-1,167524,-1,-1,844186,993473,205884,-1,630605,-1,-1,-1,-1,-1,933510,-1,275438,-1,329642,-1,252094,710555,718606,-1,-1,564379,511781,-1,30354,463621,-1,244035,-1,634764,-1,-1,564222,644270,-1,-1,-1,742370,248914,-1,-1,851780,-1,-1,385867,-1,-1,523102,-1,462280,-1,-1,393216,-1,255535,953682,372736,-1,-1,-1,-1,-1,520507,982686,79533,-1,694118,-1,-1,-1,-1,27069,-1,144893,-1,354532,438595,441729,-1,-1,591657,-1,-1,902197,353130,258734,-1,393196,-1,-1,-1,867769,-1,194998,-1,-1,131603,472963,-1,502474,-1,892480,-1,295961,-1,-1,-1,58050,518894,-1,-1,610180,-1,-1,302234,-1,216689,372171,918547,-1,-1,-1,293056,409930,-1,497564,-1,-1,76929,-1,-1,363183,-1,-1,-1,697635,306692,729141,332501,-1,673309,-1,380265,-1,-1,562672,162822,76772,-1,-1,620884,331026,990355,298220,550462,-1,-1,820066,90045,362874,642166,967063,-1,420129,800409,522913,-1,583064,769795,-1,-1,-1,-1,740496,-1,705914,-1,-1,978757,993426,-1,822781,-1,-1,616759,25312,173338,224920,-1,408927,-1,95465,-1,-1,-1,-1,-1,885049,-1,-1,190929,748264,848225,243196,-1,699294,-1,563016,-1,287234,-1,-1,-1,-1,575521,401402,-1,356538,-1,156757,411218,-1,-1,187406,-1,-1,-1,-1,999074,160294,-1,-1,-1,-1,-1,481922,543869,-1,434920,998195,-1,686188,765409,304037,805709,580080,619785,-1,456659,575813,-1,922916,444330,472659,-1,999330,254480,-1,-1,260072,19769,-1,-1,610563,758101,237717,730919,269590,-1,-1,122450,-1,60316,631130,675244,-1,752300,-1,785243,-1,-1,-1,443078,670110,388942,464161,-1,872863,91465,-1,615765,736863,-1,-1,-1,-1,-1,128927,785591,-1,-1,-1,-1,-1,521155,-1,-1,890317,278341,-1,655497,-1,997951,-1,111254,-1,-1,550832,813285,-1,-1,191047,67109,-1,-1,619022,743075,663667,-1,126261,-1,814838,110029,960158,445539,480605,-1,-1,-1,-1,-1,-1,922817,254034,-1,320007,54156,56895,932435,29068,430016,-1,-1,-1,-1,160157,-1,254946,-1,148126,-1,667685,-1,-1,816631,488914,854912,-1,-1,-1,-1,194871,344320,-1,-1,385564,154386,-1,-1,-1,-1,529359,-1,-1,-1,852591,-1,642513,-1,-1,-1,438674,-1,265847,799410,-1,451105,458147,-1,-1,-1,856816,360229,282691,-1,795545,-1,938606,97314,654679,-1,-1,-1,623623,65869,761953,785109,716154,-1,-1,-1,-1,-1,-1,-1,401457,234582,285486,267907,-1,-1,833234,-1,752393,797317,-1,-1,491095,794426,647323,204466,623539,804382,226988,-1,17027,-1,242286,272554,-1,-1,-1,-1,-1,748389,-1,703055,-1,978364,-1,-1,-1,917657,577783,638927,-1,32263,866606,-1,397065,-1,-1,181602,-1,-1,-1,-1,-1,938151,979042,-1,845500,-1,729873,-1,671879,-1,778947,213431,611088,-1,831916,579006,922773,-1,611357,-1,-1,-1,-1,143839,483191,513254,776915,-1,906009,939646,-1,-1,-1,53305,-1,630815,950806,-1,744338,-1,-1,-1,-1,918226,-1,-1,703724,-1,-1,613601,-1,541958,-1,-1,-1,-1,788992,735768,-1,-1,-1,254817,-1,703704,-1,191667,-1,490406,540617,-1,-1,564411,-1,362411,-1,-1,-1,-1,231470,163496,784818,513676,-1,-1,-1,-1,-1,-1,-1,378643,-1,957094,-1,140977,469119,195229,932401,304299,-1,775144,-1,825006,540851,180690,-1,-1,-1,146881,-1,91738,463076,-1,-1,-1,246772,580985,884742,991461,-1,-1,-1,-1,-1,-1,296105,-1,-1,-1,34587,417649,378887,280778,45075,-1,-1,991716,436541,972687,-1,238231,235766,334563,411404,-1,-1,295070,-1,780574,-1,228446,988374,-1,784175,-1,82298,-1,-1,-1,98123,-1,-1,481526,301916,234505,-1,-1,269608,945572,-1,792738,297110,-1,-1,-1,-1,786026,197436,185460,-1,-1,14819,414453,-1,735772,816658,-1,636994,-1,372256,-1,880771,-1,270278,255313,885797,-1,229694,-1,180017,-1,578600,-1,-1,-1,-1,180454,237239,-1,-1,584655,391589,-1,412831,-1,-1,-1,247962,608768,-1,835421,-1,-1,-1,311799,-1,506912,-1,-1,-1,-1,-1,321109,-1,895648,956126,306868,444522,-1,-1,-1,-1,666054,846603,-1,502749,660546,462683,462564,-1,-1,285351,-1,661158,-1,-1,-1,-1,205105,264284,779648,-1,34063,270562,889295,37517,-1,-1,59424,-1,-1,5879,976763,508596,-1,281666,932009,-1,751065,731701,-1,-1,438615,845454,911320,116754,-1,733784,319680,366063,979722,297929,474213,458569,-1,-1,173020,96362,-1,-1,187568,207286,134987,299465,-1,839109,-1,683545,-1,431073,-1,-1,-1,-1,-1,-1,-1,941279,-1,-1,-1,98367,204020,-1,-1,-1,-1,-1,111779,-1,-1,374713,-1,-1,-1,92762,-1,-1,-1,321828,-1,19973,-1,249014,-1,-1,-1,290453,324907,-1,-1,872230,-1,279588,-1,-1,530797,-1,40194,641051,970834,125528,617432,459153,-1,43252,-1,-1,-1,-1,-1,-1,128667,119356,668808,433242,-1,278816,-1,-1,418091,-1,-1,-1,-1,326917,-1,-1,89107,-1,-1,395482,-1,-1,-1,-1,-1,-1,-1,380819,110733,993750,939526,-1,-1,607974,-1,383688,211396,401841,-1,711139,693650,-1,-1,-1,-1,-1,-1,592707,482449,303347,-1,127935,-1,483451,-1,-1,-1,395533,-1,89058,-1,931165,-1,-1,547109,-1,-1,830777,-1,-1,793129,-1,-1,-1,144569,-1,374785,920075,460936,630505,454720,141206,303458,-1,926427,171127,953331,311189,-1,-1,-1,620010,-1,425705,808435,548952,-1,87912,-1,864174,783378,344947,601067,240472,326739,-1,-1,847486,289425,-1,-1,706535,502146,990825,570449,-1,-1,79444,121744,-1,-1,319549,-1,24540,843675,655646,10505,-1,-1,607063,-1,740420,107603,-1,236491,483927,403303,807109,-1,-1,-1,-1,553337,446294,-1,261387,920297,51451,-1,418073,-1,-1,719816,-1,407970,-1,-1,369731,-1,-1,179257,129237,-1,666874,-1,-1,162187,869494,-1,268512,-1,275908,58310,-1,-1,115287,-1,-1,553608,-1,410318,297946,719590,-1,-1,-1,851303,-1,-1,421414,-1,-1,-1,-1,251379,439852,914956,67251,-1,-1,-1,-1,348699,688190,954767,-1,-1,982865,348044,107355,948871,-1,749697,-1,484238,-1,-1,362552,-1,-1,-1,993346,586972,-1,439041,-1,-1,-1,-1,984204,-1,-1,929773,757785,-1,284815,773035,-1,535734,253650,-1,854998,570194,436358,790336,-1,928762,529271,609889,-1,702728,529006,-1,-1,754758,424770,-1,-1,-1,269523,659516,-1,-1,-1,645427,284090,-1,-1,-1,-1,71566,815895,431903,-1,162082,-1,551818,537517,769969,875236,115127,970419,478201,149533,-1,-1,-1,150092,-1,-1,-1,-1,948641,-1,-1,723492,693961,633214,862332,434404,500195,741145,770417,122083,432303,803024,478087,-1,-1,-1,630870,-1,230380,-1,894722,576784,-1,432737,49317,-1,-1,168272,577864,-1,-1,473909,714214,839953,-1,829403,335053,-1,219030,763810,893590,-1,910778,902154,20773,403725,-1,55462,137036,-1,633157,-1,-1,-1,808134,392080,461051,-1,37948,503891,-1,704272,-1,-1,226126,297403,453518,886990,-1,-1,-1,495947,-1,-1,650108,351190,-1,-1,-1,390772,790419,-1,-1,598948,509805,-1,-1,-1,-1,-1,-1,-1,60828,525454,508184,-1,879295,712687,-1,584789,57373,799821,879667,347835,475025,-1,70057,-1,401562,-1,783621,525343,-1,-1,-1,257034,-1,857746,799842,885016,-1,-1,688206,-1,-1,-1,-1,-1,-1,149083,18331,-1,-1,-1,428073,77154,822225,-1,-1,-1,-1,618605,127447,-1,-1,346262,943053,242617,36598,-1,-1,-1,397071,-1,-1,915863,-1,760993,-1,-1,94581,-1,159631,-1,401382,-1,902584,-1,-1,822648,-1,-1,698035,594596,-1,250962,-1,-1,-1,-1,-1,239698,-1,-1,-1,-1,537091,-1,-1,-1,670042,-1,764443,-1,285158,758370,295262,580930,-1,648197,-1,942065,-1,-1,845196,-1,711808,-1,-1,-1,-1,-1,-1,783367,-1,501150,-1,536872,-1,-1,-1,-1,236123,-1,946924,-1,297921,-1,-1,492346,-1,-1,49827,734413,-1,486772,-1,-1,783234,965588,961424,166875,119569,-1,-1,-1,495414,315877,987034,-1,760818,770480,530457,-1,675718,-1,805771,-1,11979,811276,-1,-1,-1,-1,-1,485449,904925,-1,-1,-1,137633,-1,-1,968619,561758,457019,944887,-1,-1,875763,227649,-1,851862,-1,-1,975893,-1,482739,829410,698796,-1,695097,-1,359116,498653,983673,-1,-1,-1,598036,-1,648246,-1,-1,222992,606626,333531,-1,23243,6645,67641,781801,-1,651706,535436,-1,775890,209451,-1,-1,484626,928504,-1,-1,-1,183082,371284,-1,-1,-1,75391,-1,84212,-1,224620,484336,-1,668479,546024,-1,970152,-1,-1,807278,440996,162229,238325,-1,410855,880618,463098,829033,165952,-1,-1,694166,593932,-1,-1,-1,535257,719920,669151,100203,-1,-1,992559,-1,690188,-1,397348,771975,-1,-1,-1,317967,-1,-1,-1,-1,235131,-1,830635,446378,59588,714368,-1,298708,599507,-1,445061,-1,37213,581071,846418,211407,-1,-1,77623,-1,927310,590440,707413,-1,-1,-1,-1,609184,150499,333246,-1,866804,-1,342843,925123,-1,22659,-1,-1,-1,-1,858190,-1,-1,-1,-1,945919,807914,387362,-1,82866,499053,382341,736623,899570,949997,551995,308050,837523,-1,-1,-1,-1,-1,-1,-1,144937,399581,525529,-1,-1,483981,-1,848086,-1,772522,-1,826810,-1,605667,518432,-1,814257,-1,-1,290656,862992,827399,-1,748659,585696,-1,329539,608099,300087,928321,888877,-1,686471,-1,46451,-1,-1,-1,-1,167236,126968,46928,-1,-1,183145,675531,784679,-1,836900,841855,-1,841898,-1,26568,-1,364061,-1,888447,20509,839850,-1,-1,-1,942996,752940,143170,-1,-1,376287,723248,-1,-1,-1,-1,609560,-1,934645,-1,-1,-1,885299,266212,-1,-1,158409,-1,-1,192590,-1,211339,345441,-1,265286,978663,-1,739557,327982,-1,-1,792374,118240,-1,168018,-1,389876,-1,-1,-1,691502,228281,-1,-1,-1,-1,157214,-1,-1,402763,-1,911289,-1,-1,-1,125345,-1,125948,-1,-1,-1,-1,259492,-1,742026,-1,170644,-1,305920,979204,-1,48420,438628,673065,-1,-1,-1,868385,-1,-1,-1,237998,203192,-1,-1,-1,274083,740827,-1,-1,-1,-1,518438,486289,-1,591537,48676,-1,145785,850100,-1,-1,-1,-1,-1,-1,-1,108900,-1,-1,441512,-1,62492,-1,-1,-1,-1,-1,376489,-1,-1,-1,646243,727048,461344,869789,-1,-1,711086,875815,-1,47139,378188,184982,549817,406983,699285,121699,-1,-1,227956,-1,-1,587442,177470,-1,455835,654512,-1,401323,661356,512994,931679,-1,65527,-1,605497,-1,928587,-1,-1,-1,-1,520603,299315,-1,-1,528186,-1,-1,392904,574019,218503,-1,650790,726700,-1,-1,-1,914632,-1,-1,824717,-1,484196,197777,284300,-1,-1,-1,353191,-1,409868,811890,-1,525819,751044,643259,-1,603858,-1,-1,-1,175782,322310,139830,602652,-1,478601,-1,922191,820274,786385,-1,105232,311424,-1,996673,-1,879454,-1,564001,707968,-1,-1,170944,-1,-1,324240,-1,847770,-1,669413,687663,999115,964782,289644,-1,-1,213674,116359,-1,131837,807245,-1,-1,337495,14596,-1,615813,502683,-1,674805,561874,-1,584442,-1,-1,228148,658436,681765,-1,721230,-1,422978,-1,-1,557152,438450,936319,-1,-1,-1,-1,881365,997151,-1,833864,798138,-1,414573,-1,585588,-1,527751,-1,-1,248986,-1,952010,-1,-1,-1,145118,-1,-1,9885,-1,812930,-1,347442,916011,993863,-1,-1,512037,-1,341170,81303,368152,632884,131707,459585,-1,557893,241595,120750,-1,-1,960976,724441,-1,437217,623293,-1,556833,-1,37727,-1,-1,-1,-1,195966,595034,-1,354016,-1,164069,-1,626654,803731,221858,-1,-1,-1,-1,-1,-1,759466,705354,-1,283467,486458,202337,746982,-1,-1,-1,314050,-1,769162,-1,-1,184287,-1,412408,-1,-1,-1,-1,944383,994739,-1,387229,-1,294839,-1,-1,846768,243530,544715,-1,178906,-1,-1,477107,-1,-1,-1,-1,-1,585357,461088,-1,-1,-1,-1,-1,289162,589639,135012,-1,25732,939717,927570,-1,163006,-1,789062,609973,173379,134464,-1,725024,584476,-1,-1,-1,440416,808685,-1,751016,417905,-1,30947,450133,63149,11732,-1,586266,191042,-1,-1,-1,236447,808209,-1,-1,519355,341784,729038,-1,-1,-1,263764,246443,-1,562574,500869,551454,-1,170541,983533,520371,568901,201726,-1,-1,416573,975654,684388,-1,144592,-1,-1,517476,848427,-1,-1,803634,-1,-1,-1,156995,211201,168260,-1,-1,-1,525569,407381,447871,-1,268900,572662,710479,570141,531113,-1,-1,259816,-1,-1,-1,-1,499471,305723,-1,-1,-1,-1,-1,-1,-1,21543,-1,436150,261702,-1,-1,360797,-1,516817,347689,226534,78867,311200,273164,-1,-1,94232,-1,620949,934798,-1,-1,701909,-1,-1,-1,19747,253328,-1,-1,-1,956847,-1,118023,-1,-1,562924,984635,-1,659562,-1,-1,-1,-1,-1,-1,-1,-1,-1,922493,-1,-1,642773,914411,-1,821735,-1,-1,-1,304573,-1,668759,465752,775721,804312,717891,646276,-1,712264,903699,186415,-1,-1,692563,-1,553475,-1,802071,380791,-1,190482,68902,457604,-1,-1,817445,-1,-1,-1,-1,-1,529579,39753,919850,72074,-1,-1,952857,-1,-1,199313,-1,138991,-1,891650,689129,-1,-1,64274,601541,-1,-1,-1,-1,-1,171086,-1,460976,75273,145156,273854,25784,880984,315510,165611,-1,152274,699530,762182,-1,-1,482673,-1,51907,958354,476201,948398,648323,608507,-1,-1,730915,-1,-1,-1,-1,-1,-1,-1,627730,-1,625151,862577,-1,-1,-1,375894,-1,-1,738472,208870,-1,566224,921735,300037,-1,363947,239840,-1,287346,145779,-1,139484,-1,125615,505521,791165,-1,-1,128843,-1,542392,640074,538348,251136,153518,143021,-1,906504,-1,332912,-1,450160,634827,-1,-1,-1,887348,-1,394831,-1,-1,-1,-1,463951,927780,-1,-1,488454,382219,-1,-1,631861,393556,-1,128174,997556,149035,149398,653600,917755,-1,-1,-1,111984,729125,-1,-1,-1,-1,403269,-1,-1,355354,873011,637346,-1,593017,-1,261837,-1,-1,293452,110412,271387,768896,572190,862109,-1,-1,799776,-1,-1,-1,147230,754850,-1,560744,616119,749089,20198,-1,-1,-1,-1,662235,343648,-1,99659,-1,-1,-1,690536,-1,-1,-1,526761,210140,11880,663638,-1,956595,258324,-1,-1,-1,-1,952307,-1,123902,-1,-1,376964,-1,809933,287503,-1,-1,266506,-1,934223,706829,559077,226775,-1,757466,-1,-1,-1,881853,37941,622638,665977,767696,47378,-1,-1,-1,-1,32089,893521,-1,-1,805322,-1,689528,-1,81467,-1,-1,-1,743223,-1,125532,648640,722425,-1,129085,-1,316054,812519,755978,944999,-1,-1,-1,-1,-1,260677,198783,742851,211266,746627,-1,351475,650709,-1,636147,491186,788420,645322,-1,855237,-1,851322,-1,808145,634184,-1,-1,436900,910519,-1,183459,840561,-1,606742,547563,-1,242328,-1,410405,720052,862293,733450,-1,953034,537294,-1,566288,519449,-1,-1,-1,728311,520666,-1,-1,-1,-1,779585,841201,598207,-1,-1,-1,596353,797879,-1,150349,543263,667495,663804,-1,-1,356487,88579,260916,-1,-1,532801,134607,-1,428920,675641,-1,-1,-1,-1,-1,933887,183407,-1,-1,582323,-1,988589,212820,-1,198418,-1,981037,-1,-1,-1,944148,459207,429120,371041,-1,626141,704091,461715,-1,-1,-1,-1,805686,-1,-1,946656,-1,-1,848600,292936,-1,-1,-1,75588,825316,734162,-1,-1,-1,-1,-1,-1,639759,672509,-1,717342,-1,236117,919640,627414,-1,-1,957245,968891,63727,715432,-1,-1,-1,-1,-1,75605,-1,195550,-1,-1,155733,-1,-1,867093,-1,785459,649196,-1,149212,806676,-1,-1,-1,-1,264458,166040,-1,-1,20225,-1,-1,-1,-1,996759,-1,-1,557805,-1,-1,622886,-1,-1,942521,544692,816896,644062,386851,-1,-1,-1,-1,567666,511024,-1,2858,638353,756712,-1,645771,578037,845496,802070,-1,-1,793644,-1,-1,351004,701428,418165,-1,-1,63107,413684,-1,-1,963554,-1,649205,177641,300646,857793,-1,225214,-1,212091,-1,-1,647938,-1,132818,-1,-1,-1,779558,-1,554048,835415,238156,-1,-1,5666,-1,474721,898314,853898,-1,-1,-1,146794,60751,-1,916049,926538,-1,-1,-1,639450,-1,-1,-1,978815,438072,994624,795475,466833,406981,371018,314214,571337,-1,367394,771333,-1,435051,-1,-1,944647,-1,-1,-1,-1,914372,80475,-1,928120,-1,368984,609053,201938,-1,643289,-1,-1,563363,351963,-1,993551,751903,169134,448949,481332,-1,-1,-1,112603,-1,-1,624889,890704,-1,847369,-1,790694,747831,333996,-1,-1,643526,-1,209378,671391,762743,501325,83483,790891,-1,288451,-1,635476,15432,-1,924488,913912,-1,284600,403370,397211,197428,-1,392575,-1,780060,-1,422019,-1,52573,788527,416175,-1,541540,-1,-1,-1,-1,-1,223340,585291,433666,250411,909708,-1,-1,428308,124529,772388,-1,790897,114738,27604,697889,885310,19609,-1,524925,982786,584918,681634,-1,-1,440459,575861,-1,897998,822842,823532,896402,897035,-1,547976,-1,501234,141839,-1,816027,774476,601459,-1,307767,-1,-1,5863,579513,455328,336518,236037,427793,-1,-1,-1,-1,699693,-1,-1,461268,-1,-1,828428,148649,586560,849723,372293,977936,150871,-1,968799,719410,460012,-1,4946,522466,315764,-1,486450,227383,2706,550761,146265,-1,-1,537046,141481,-1,993360,-1,-1,-1,-1,-1,-1,-1,86380,-1,352025,-1,-1,419104,-1,-1,493904,273947,-1,628606,292059,869200,-1,932042,-1,-1,-1,350742,-1,402817,-1,-1,-1,259953,860610,-1,323676,-1,-1,-1,-1,-1,-1,515737,-1,-1,471832,965656,-1,111389,-1,32435,-1,-1,-1,-1,496302,-1,-1,453463,-1,-1,599219,-1,205356,546194,-1,159428,-1,64478,-1,453194,944561,413593,-1,-1,-1,906614,804118,-1,-1,33835,292068,891412,-1,-1,114062,-1,633466,-1,-1,334581,643785,120002,421123,833051,-1,614624,621268,-1,-1,-1,-1,-1,-1,-1,273574,-1,72135,626481,-1,204720,257182,975289,457878,753673,-1,393137,-1,782799,397127,177358,77214,-1,-1,481819,266888,-1,-1,-1,15567,651456,621960,554755,-1,59533,381137,32323,191381,-1,809162,391360,987577,-1,-1,-1,75720,650559,-1,-1,-1,136428,-1,996806,-1,-1,563670,304053,-1,186032,-1,-1,-1,-1,824436,-1,384311,-1,-1,-1,-1,950707,-1,-1,-1,437900,-1,-1,584643,-1,-1,-1,655157,539892,248837,709090,911394,-1,-1,318945,489788,-1,415717,550791,607763,-1,322359,-1,-1,-1,633775,665512,510950,626091,2180,-1,886617,931623,951460,366992,659744,-1,501660,974426,635468,337980,760755,434468,-1,201248,-1,448965,-1,-1,262880,604496,-1,594467,55672,-1,417881,686596,-1,104907,99430,-1,-1,460596,-1,-1,-1,-1,-1,-1,-1,236220,369234,122667,835477,-1,855486,241403,619995,-1,-1,293203,-1,760627,-1,-1,20820,466576,41310,-1,201393,193574,-1,32185,-1,153316,-1,354850,-1,-1,-1,888523,-1,764723,883736,-1,-1,168570,-1,-1,220310,-1,-1,-1,-1,-1,-1,432543,651331,-1,309198,-1,-1,802844,307068,548526,-1,490418,-1,-1,938197,586056,970220,214203,742500,-1,-1,-1,397490,603622,974121,-1,-1,-1,825699,-1,47363,-1,-1,-1,933657,-1,-1,-1,268233,-1,220197,268688,155565,-1,71493,70620,-1,-1,413372,124061,839086,594454,726486,-1,637562,-1,-1,-1,-1,-1,-1,267615,-1,387820,619323,-1,-1,845678,-1,-1,-1,966905,-1,8940,578917,533685,648587,-1,196686,-1,399639,-1,812422,552367,930965,609674,-1,-1,-1,329092,574443,18271,-1,-1,-1,-1,-1,139131,-1,807779,939097,635120,521734,422267,-1,873760,635564,246715,-1,-1,760261,-1,-1,45027,944400,670470,-1,438258,-1,569777,-1,-1,-1,-1,212319,-1,-1,-1,645965,-1,319643,-1,532921,-1,238651,513216,-1,779071,859867,-1,928813,92612,-1,-1,583945,295146,260542,-1,829146,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,916326,-1,880463,716142,-1,633742,-1,-1,-1,-1,-1,232853,-1,491161,978660,-1,-1,-1,41164,382672,-1,442494,995853,-1,161222,329414,326932,826880,604173,-1,-1,-1,771696,535392,101406,999789,895799,-1,905130,723341,-1,388049,881610,348381,680606,974370,-1,173765,971302,-1,707639,785203,-1,123621,841421,-1,760014,445441,-1,203382,-1,-1,-1,-1,-1,-1,258156,-1,-1,-1,127535,-1,124122,715942,669296,-1,666814,956270,-1,-1,-1,484492,40219,426244,239853,-1,547198,-1,162180,-1,734451,-1,52591,442976,286928,807956,-1,-1,484267,629800,26338,-1,106748,435245,114820,266671,971330,-1,-1,305407,-1,-1,-1,-1,203764,-1,194032,-1,836738,-1,-1,227179,50252,-1,-1,784265,853886,157454,18872,129962,-1,552686,825258,193785,502410,221081,-1,851783,-1,148658,-1,-1,695031,490710,43189,-1,-1,-1,-1,875664,-1,757304,-1,-1,-1,727224,334170,-1,-1,772720,-1,-1,-1,903549,876792,850033,41204,-1,908707,648456,-1,-1,626866,63006,-1,-1,-1,-1,891341,254170,-1,-1,-1,-1,-1,581311,-1,309569,339789,-1,813884,205631,794845,544427,670289,-1,-1,-1,492656,587323,134740,-1,-1,-1,-1,-1,-1,810189,597908,-1,268052,473958,755486,-1,-1,917396,-1,432880,-1,-1,-1,574584,804141,257049,-1,-1,-1,-1,-1,-1,-1,996503,-1,849446,-1,437356,-1,-1,410635,808299,42563,-1,-1,-1,-1,-1,78587,73693,-1,559629,890623,-1,856213,-1,-1,-1,-1,887418,-1,649608,-1,965540,-1,-1,-1,965713,-1,-1,474392,-1,795499,-1,870431,121825,748030,-1,-1,-1,770946,-1,-1,-1,-1,-1,315107,4911,-1,-1,-1,876535,-1,786405,-1,-1,478468,-1,56191,-1,-1,609587,121437,596276,-1,-1,-1,399375,-1,6699,896355,410185,316970,-1,634701,872868,-1,-1,331050,-1,-1,-1,-1,-1,-1,-1,-1,-1,528914,388642,-1,818588,-1,258520,-1,-1,-1,-1,819113,843086,-1,-1,96591,594329,412340,-1,931791,472477,695690,350067,394380,154706,-1,14945,948726,-1,796032,396121,787746,-1,-1,-1,798113,427385,241967,-1,595708,-1,643565,518790,-1,569987,-1,-1,-1,-1,415873,641623,530230,884909,-1,-1,-1,819957,-1,-1,-1,-1,-1,-1,713294,799846,-1,-1,373983,28882,37179,-1,904214,-1,-1,135460,109117,873665,-1,6255,-1,662779,949005,-1,43578,-1,869574,-1,-1,368636,74195,214744,106884,-1,-1,806282,-1,-1,223468,-1,-1,747376,745246,-1,221891,792025,-1,417380,-1,-1,614228,713472,-1,488267,-1,-1,-1,-1,716986,56041,443663,-1,-1,-1,-1,734650,911052,-1,-1,-1,-1,316908,-1,973116,261282,497521,-1,-1,-1,622382,-1,992875,160983,476184,-1,978869,512662,375055,-1,555128,-1,42860,148582,-1,291886,138283,340511,57033,392127,996912,-1,551896,-1,-1,622897,-1,-1,598215,877802,-1,-1,-1,-1,726025,-1,-1,-1,-1,407475,781980,-1,-1,-1,694938,-1,-1,-1,-1,-1,306033,580899,13266,-1,-1,72075,-1,624911,-1,867057,189946,-1,-1,-1,200459,-1,478294,-1,-1,870508,289019,-1,215852,-1,-1,-1,38514,214269,197059,-1,20537,-1,-1,-1,-1,382240,636423,-1,245317,-1,423052,-1,445393,-1,605581,-1,-1,12990,951672,310386,301038,-1,-1,-1,738544,425091,285688,978957,392412,-1,468334,-1,516380,-1,-1,852873,-1,-1,-1,372582,585473,230147,701661,739899,-1,366590,-1,179047,913173,478902,235246,-1,-1,-1,-1,139810,-1,-1,314551,-1,35414,327699,-1,745176,845003,-1,-1,-1,276949,-1,-1,884855,-1,455164,170854,977530,675059,359728,-1,-1,88224,-1,-1,799261,103428,124406,-1,58812,-1,886757,-1,757606,287011,536721,-1,-1,-1,-1,-1,-1,-1,-1,438771,-1,598752,-1,267050,-1,-1,-1,282289,69273,-1,-1,912012,-1,597582,81954,-1,230986,-1,-1,770615,885020,-1,-1,-1,-1,-1,-1,-1,241589,-1,-1,826452,893091,-1,516892,894052,212788,-1,596253,-1,-1,39405,-1,309653,15285,807499,922563,-1,136699,-1,911203,-1,716958,821763,609002,311139,-1,150587,-1,130676,644980,-1,-1,309120,419527,350769,-1,796758,126510,860360,222649,167571,-1,-1,202866,-1,417396,263475,-1,592592,-1,-1,958544,508179,715912,-1,668492,474238,-1,528429,635401,437809,-1,-1,-1,420976,601224,-1,-1,-1,561302,-1,-1,-1,203916,729851,215061,741913,-1,-1,-1,-1,368321,858036,83017,407713,679644,-1,387313,731580,-1,-1,-1,-1,-1,86549,109622,-1,942255,-1,590299,-1,-1,-1,-1,-1,209527,554451,-1,45013,-1,467527,-1,343277,-1,-1,-1,-1,180094,661904,-1,430311,-1,196480,95445,321588,91318,-1,-1,497920,281478,-1,-1,70362,-1,938583,823047,-1,-1,-1,787110,289441,647125,469318,957847,908717,-1,-1,96772,-1,-1,136524,-1,603047,-1,484290,352671,-1,-1,47142,-1,763165,-1,-1,-1,481959,987204,883893,928594,-1,817249,479501,347615,674618,152750,-1,968158,486379,862892,-1,693211,623027,260571,754842,-1,832235,11860,-1,933085,-1,56323,-1,-1,682047,319905,162332,775262,14705,-1,-1,960657,350195,943933,484289,-1,-1,-1,796029,-1,-1,-1,-1,176209,-1,-1,813673,-1,529900,-1,-1,612769,-1,-1,144784,-1,-1,-1,422714,340236,-1,237608,239362,-1,-1,994413,-1,-1,802340,-1,-1,-1,-1,696193,-1,-1,-1,332953,-1,3150,-1,-1,727234,478566,363285,-1,216168,95905,786263,184355,-1,355595,-1,-1,-1,224972,-1,-1,-1,-1,562479,298084,662093,-1,-1,216796,641566,-1,625634,-1,136846,-1,889212,-1,756760,-1,-1,-1,-1,687717,-1,378987,-1,885938,545377,-1,251237,792264,638323,54523,-1,21799,-1,-1,-1,-1,830573,-1,825291,183014,930229,-1,-1,435882,363509,-1,-1,-1,-1,-1,-1,-1,323559,738741,-1,697297,998764,287676,-1,449254,300186,231834,-1,573380,-1,-1,677466,-1,61669,55062,-1,-1,-1,-1,-1,722041,-1,-1,-1,722871,-1,528001,-1,-1,46631,-1,-1,700520,-1,-1,724413,-1,-1,531255,995162,-1,414427,-1,-1,828768,880556,79240,45430,-1,897745,-1,390471,-1,577349,8776,-1,-1,-1,997143,3502,-1,-1,-1,376312,243815,22002,653213,-1,467056,-1,230717,917832,-1,-1,-1,662994,-1,250869,765806,135863,577737,255827,-1,587139,-1,469313,699069,371748,688895,292662,-1,-1,508762,-1,-1,-1,-1,-1,-1,-1,-1,-1,249415,-1,-1,-1,981130,-1,-1,505066,-1,30172,-1,663681,-1,520748,902855,813459,118537,518934,6604,-1,502036,463732,-1,-1,561981,-1,962046,892657,-1,269764,901906,297922,-1,460604,470672,-1,-1,-1,304440,-1,-1,-1,-1,-1,-1,454432,569897,54856,74024,381506,619497,-1,327001,-1,-1,920468,172288,507584,800564,530377,-1,394970,881395,177717,297037,-1,659740,-1,-1,567976,882574,-1,36803,-1,19888,-1,-1,-1,14940,-1,-1,-1,-1,280061,-1,807457,734383,529931,127090,-1,-1,917661,458772,970687,-1,975068,-1,897522,526861,-1,-1,-1,784843,-1,-1,657050,-1,208939,818399,-1,155874,-1,-1,751131,-1,144585,-1,-1,-1,-1,26567,245789,136833,-1,-1,149865,-1,-1,-1,-1,-1,-1,263835,565193,658750,-1,-1,851307,40459,650127,-1,481572,802857,-1,283954,943173,382726,-1,-1,-1,-1,752265,42565,-1,-1,-1,598990,-1,557901,-1,-1,595431,315909,291477,744682,15236,645222,-1,714498,513720,-1,-1,-1,607732,-1,-1,-1,358362,765813,187984,-1,182256,311744,314248,-1,-1,-1,-1,112735,-1,-1,426127,819998,-1,689444,297066,-1,-1,-1,524677,-1,3127,413115,-1,-1,47817,-1,-1,-1,-1,-1,74923,-1,-1,629759,657642,214412,572386,962869,-1,244630,-1,492830,-1,-1,-1,-1,-1,-1,832782,636918,292103,-1,-1,130820,-1,-1,-1,821032,231613,-1,18775,932205,552510,-1,562658,750688,-1,569827,-1,638710,-1,-1,-1,659648,543962,-1,627835,99076,-1,77710,-1,118503,-1,990616,-1,-1,-1,981834,-1,874164,-1,903795,-1,433951,-1,-1,934784,-1,464987,-1,864806,-1,-1,-1,116569,849800,-1,347305,331201,96350,-1,740522,-1,459151,761490,957046,-1,498080,-1,650616,710300,-1,80277,426217,668118,-1,206627,952576,439730,-1,128900,56239,301936,318938,-1,147819,-1,207716,-1,-1,-1,86804,-1,600540,968202,-1,749894,-1,56575,-1,-1,-1,-1,440407,347199,431502,956093,201419,-1,653247,331647,531661,628553,-1,-1,272230,33092,299544,193107,999223,-1,-1,-1,-1,-1,-1,-1,605730,-1,-1,-1,459662,200042,-1,202205,-1,-1,-1,-1,-1,-1,991198,531466,653205,415490,130910,-1,-1,-1,-1,-1,-1,-1,459621,109384,322235,963539,-1,-1,945334,-1,219553,530990,-1,-1,326353,513308,-1,618218,781595,-1,674156,544642,-1,-1,606285,251063,544432,229307,112328,477168,-1,196430,-1,-1,425813,-1,368066,94836,64117,838188,-1,-1,918851,-1,-1,249155,660405,-1,-1,559410,-1,386872,-1,-1,15152,-1,-1,501347,-1,-1,364164,-1,-1,-1,454224,898350,-1,-1,273852,-1,682759,-1,914688,809871,-1,-1,768295,-1,-1,-1,650367,134893,71821,-1,-1,-1,578292,-1,802916,866846,543301,-1,-1,-1,312850,-1,757326,580596,-1,573993,720898,972980,345286,-1,470081,796690,-1,-1,-1,760123,-1,-1,-1,391315,812367,-1,736946,-1,-1,-1,925768,-1,855414,-1,-1,-1,-1,-1,-1,849518,690618,-1,-1,-1,207752,-1,514664,-1,577385,791867,-1,37145,706548,658927,-1,603723,-1,388002,25793,762141,235207,192407,84784,64733,186632,463004,256394,-1,-1,520458,-1,-1,-1,-1,-1,727114,401321,-1,-1,-1,525425,-1,-1,-1,-1,700034,400787,-1,-1,-1,-1,-1,635595,602240,113530,789239,945425,-1,190144,358812,881335,412221,-1,595896,-1,867848,148643,-1,665093,18301,31227,852776,-1,351919,-1,-1,-1,824830,200658,-1,626985,470635,17837,438366,548227,-1,-1,-1,559136,-1,234243,666249,-1,716828,-1,-1,531477,105629,-1,-1,-1,-1,-1,-1,57320,-1,721823,828101,230567,-1,545035,-1,-1,52146,319306,-1,-1,973968,-1,-1,-1,-1,-1,-1,419388,-1,-1,-1,-1,213688,-1,-1,-1,-1,-1,268644,883147,-1,-1,677917,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,681334,671250,670085,688921,265978,-1,-1,-1,-1,463505,332526,147507,760380,764049,424573,873465,-1,605061,-1,230344,669430,853213,387416,252762,-1,-1,969551,-1,-1,809907,542138,930550,965680,917456,680901,379237,-1,145651,34460,-1,489843,268331,292878,-1,-1,-1,-1,-1,-1,-1,481405,-1,687805,114253,-1,-1,-1,-1,-1,875268,-1,-1,-1,-1,-1,-1,-1,-1,-1,522944,36453,759559,14852,-1,-1,-1,-1,-1,-1,208438,-1,859627,771148,-1,364530,-1,270013,-1,-1,617001,870972,150728,488355,-1,189231,245001,-1,-1,-1,-1,977810,-1,-1,-1,-1,407067,424446,-1,428599,60723,430469,-1,-1,-1,-1,-1,-1,678038,-1,-1,296587,147830,633063,-1,-1,404967,-1,-1,767360,-1,-1,476798,-1,881141,-1,651824,163004,880057,381782,84653,-1,274795,892524,959451,-1,857208,-1,211949,782979,265304,557745,285039,870510,-1,350293,-1,-1,830473,744131,58868,678643,-1,861947,248991,-1,538465,97316,-1,181396,862724,-1,-1,84683,700393,-1,-1,314672,221066,846883,-1,-1,-1,457319,374489,604464,214275,-1,-1,865447,-1,-1,924621,-1,-1,-1,-1,396735,-1,-1,376303,-1,-1,-1,873020,958907,-1,46107,-1,-1,616652,-1,997581,-1,-1,933191,-1,-1,-1,94797,-1,-1,-1,-1,-1,925265,-1,418009,-1,-1,-1,-1,974277,-1,96508,428112,857035,-1,-1,14317,496944,-1,-1,-1,593276,-1,86060,566381,459439,770194,-1,548376,-1,294121,417454,202948,416002,263713,881,-1,-1,625021,817774,74835,732909,926568,987055,524049,-1,812847,125157,130173,-1,-1,-1,-1,-1,-1,-1,386925,-1,-1,585512,343616,-1,-1,-1,-1,-1,-1,657871,16715,479895,-1,116977,-1,-1,-1,116076,989147,-1,-1,-1,544917,718909,-1,-1,320807,377549,-1,-1,581619,615647,-1,-1,-1,104824,-1,-1,-1,-1,-1,-1,355709,832886,-1,224294,-1,712446,-1,-1,597045,-1,439969,455019,349785,-1,-1,75792,737276,26697,-1,216683,-1,-1,110075,463886,-1,989647,213934,360284,-1,501488,498964,456648,-1,-1,-1,823642,661508,-1,-1,223241,880619,-1,38396,-1,41195,644477,355837,175207,-1,413980,458887,-1,299106,634837,443720,-1,-1,685107,-1,-1,-1,247932,-1,-1,823052,759634,-1,483198,-1,873384,90412,589828,867424,384690,371735,205256,-1,-1,-1,-1,213682,-1,-1,310034,-1,788206,685815,-1,504322,-1,693645,-1,-1,378247,-1,523549,268363,802640,-1,-1,-1,442574,671929,-1,954617,377354,620786,-1,-1,-1,580364,763394,-1,-1,-1,356350,668222,-1,-1,-1,269309,-1,-1,-1,846709,340730,936046,311890,816747,173601,700395,-1,979595,-1,-1,-1,-1,104549,-1,-1,779419,641876,704056,-1,519002,-1,-1,-1,770453,-1,-1,178610,430328,-1,-1,-1,-1,489644,263690,263661,-1,-1,738659,-1,-1,887679,801514,-1,-1,750125,106437,588382,-1,-1,-1,465273,614053,-1,320534,770851,-1,643086,-1,812274,-1,-1,646416,-1,-1,-1,395929,-1,496562,307377,-1,294096,-1,-1,-1,483947,184386,97918,443910,827151,-1,603811,552650,-1,-1,901254,-1,660191,-1,385183,621867,155003,-1,-1,-1,302411,631223,-1,293125,-1,-1,-1,-1,98304,-1,533914,-1,-1,-1,-1,-1,61120,131515,430545,-1,-1,171272,161710,-1,411940,836957,-1,-1,84490,-1,967172,181791,746708,386657,519459,801796,374006,311021,871309,313272,-1,263204,961938,-1,-1,-1,494567,22938,121804,-1,-1,-1,159634,-1,-1,-1,-1,688381,408053,505509,731410,720972,45445,-1,-1,-1,-1,335226,-1,439024,-1,396995,-1,-1,-1,-1,-1,-1,784517,-1,-1,471338,962867,624764,827995,-1,107979,-1,624563,-1,-1,987693,-1,966237,-1,-1,-1,497317,79407,680015,-1,-1,-1,172915,-1,-1,236394,-1,382380,-1,-1,764541,-1,351274,-1,-1,-1,599129,931354,727756,-1,873404,-1,-1,25862,341313,-1,150311,286433,43131,-1,866617,755460,-1,-1,38424,-1,-1,-1,364409,-1,-1,835593,-1,525231,-1,-1,-1,657776,50702,-1,-1,-1,-1,206100,26157,-1,-1,554923,-1,940100,-1,505336,395272,767432,-1,-1,693573,-1,823444,-1,-1,-1,-1,-1,54479,-1,559991,-1,-1,733505,497801,972566,-1,178366,-1,311089,463967,-1,-1,835886,810499,-1,-1,-1,-1,564623,-1,-1,481673,-1,265645,173344,-1,-1,891217,-1,269065,111103,468158,365228,834174,188812,-1,-1,16434,-1,-1,-1,-1,764417,-1,-1,269865,-1,366423,-1,111857,-1,-1,-1,269830,-1,-1,922487,720609,189128,327213,173331,436625,-1,-1,33555,998401,-1,911566,786293,537806,517299,-1,609082,-1,588102,-1,-1,618732,-1,810308,788829,747559,-1,43570,570493,477404,877530,-1,-1,-1,-1,941197,419072,-1,-1,589507,-1,956852,77468,-1,-1,-1,-1,-1,-1,-1,684350,815970,706414,-1,-1,-1,-1,143595,521936,221206,635779,134291,-1,691593,-1,-1,128384,177666,-1,320980,370794,28066,839399,-1,-1,-1,346039,113923,-1,525380,144290,-1,575620,-1,-1,-1,-1,-1,-1,-1,-1,561087,226850,799747,516028,721706,-1,-1,-1,601431,-1,-1,-1,327163,438660,-1,-1,-1,500891,845422,-1,531507,-1,-1,-1,-1,373353,-1,966914,687800,757769,-1,-1,527750,140308,834964,-1,-1,167015,167600,-1,-1,-1,581146,-1,569585,166398,-1,-1,600301,202351,-1,-1,-1,478639,-1,687580,-1,-1,-1,521857,873981,407929,761024,-1,847705,-1,-1,-1,857439,-1,-1,-1,-1,429664,457447,163931,261164,-1,656946,-1,431214,-1,-1,-1,-1,-1,389233,-1,-1,-1,726661,-1,-1,940527,932142,815840,737653,-1,-1,149047,614892,884549,79476,-1,759387,-1,-1,783224,-1,-1,935697,329117,-1,384731,414850,986120,89683,-1,73377,37099,-1,-1,-1,334332,-1,-1,-1,-1,-1,-1,655843,939476,-1,-1,-1,-1,-1,-1,101510,-1,-1,768600,511810,252737,161685,-1,368143,627406,85852,728102,-1,-1,610784,-1,-1,-1,769693,699173,568024,-1,-1,870334,-1,-1,201515,-1,-1,185963,-1,-1,562093,-1,833915,-1,345536,-1,-1,40047,985622,28442,92607,-1,-1,675409,-1,-1,300286,623221,976007,708785,602531,478802,-1,402261,-1,-1,746714,-1,421687,242666,405312,505718,123955,596429,971517,197302,689552,-1,466483,550449,85172,124100,-1,-1,-1,-1,287319,837748,-1,-1,-1,-1,748141,-1,97503,-1,179546,146192,561131,827054,148931,-1,-1,-1,-1,298783,816497,214757,-1,-1,-1,998327,327289,492405,-1,878308,300999,-1,590990,-1,530928,-1,272350,-1,-1,-1,-1,-1,-1,-1,449165,791198,-1,982797,146261,906967,-1,-1,913497,546159,746919,137857,-1,563998,755868,597721,272537,-1,-1,-1,983719,-1,-1,-1,741306,896611,-1,747426,520292,817090,703979,541012,933909,-1,-1,254680,-1,-1,341874,509011,-1,-1,630120,-1,481752,914433,221732,-1,-1,-1,-1,-1,897148,487661,-1,878711,-1,336523,712063,-1,-1,636225,937574,125814,452376,99880,80515,55030,200695,-1,383253,-1,-1,935998,880029,-1,-1,649364,106214,710067,-1,-1,759347,758465,-1,110028,-1,286813,325309,-1,-1,-1,524523,889432,-1,-1,-1,-1,608342,882687,922909,384408,427184,-1,105991,-1,555189,227171,-1,-1,-1,523590,35956,858437,633100,-1,311185,-1,-1,-1,584827,674992,-1,25774,234693,-1,666873,-1,768286,484986,997749,950632,-1,-1,520188,-1,-1,-1,390139,675191,-1,-1,219199,718767,-1,222888,229277,-1,-1,888320,-1,-1,228346,267871,656553,-1,-1,-1,-1,-1,-1,514318,946508,887801,591556,-1,-1,-1,224476,-1,708950,424411,296449,560821,-1,326199,982186,859562,-1,392030,890128,501022,135430,904213,611953,904382,827594,-1,501116,-1,795470,-1,-1,786129,312202,-1,323266,-1,-1,457870,348929,-1,-1,251007,-1,674630,-1,-1,837245,-1,64176,637237,26747,439130,858440,496401,-1,-1,542677,-1,852697,-1,615920,627877,-1,-1,-1,-1,-1,-1,-1,-1,-1,633592,-1,-1,-1,566876,-1,81755,-1,-1,-1,416635,728229,-1,-1,98507,-1,-1,213683,60228,-1,-1,797407,246,840972,253253,290769,-1,-1,16712,-1,-1,795292,699971,397299,766337,-1,-1,775,-1,645416,-1,284879,843200,24612,-1,376868,-1,-1,-1,274330,-1,842197,-1,830806,328471,-1,-1,-1,329589,332348,-1,670290,-1,-1,-1,-1,-1,491094,775709,-1,-1,-1,386042,862783,-1,534608,-1,898793,-1,891858,-1,940238,263483,704102,386355,-1,161712,538775,303094,456789,251652,796792,938683,111195,51232,772844,780070,-1,963882,-1,-1,-1,942798,-1,316298,418988,120496,197850,-1,293765,-1,-1,-1,199820,-1,-1,771487,-1,298785,-1,-1,184212,-1,891459,-1,509002,-1,-1,153968,999405,461916,-1,22985,316130,572189,-1,-1,878683,759688,-1,255215,-1,812114,528106,-1,-1,372989,301426,712008,421376,-1,597259,-1,-1,138530,969371,909095,-1,368107,-1,40305,-1,528176,608859,-1,-1,-1,2179,656681,-1,-1,210181,713413,-1,39260,-1,-1,961566,-1,-1,754378,733337,181748,441511,421509,-1,365702,-1,-1,864560,689688,112401,-1,273836,626154,686199,880962,-1,-1,153973,98129,-1,803828,-1,198144,245882,-1,-1,-1,-1,-1,-1,-1,869444,-1,154315,-1,-1,-1,-1,-1,574346,-1,-1,444861,899922,131278,610316,315717,-1,-1,-1,889061,-1,-1,315251,-1,844176,602324,363573,-1,-1,819947,-1,-1,873693,-1,811947,228029,1845,-1,-1,-1,677456,738309,-1,199595,-1,-1,867458,377277,952052,-1,795385,106726,-1,71971,-1,573512,-1,236669,790485,865191,841890,-1,-1,-1,-1,199666,677620,-1,637529,-1,773244,467386,435464,424263,933297,820081,79329,734561,-1,-1,794577,208215,-1,-1,947657,476192,-1,958588,626124,-1,-1,186106,-1,-1,309938,978077,-1,136851,-1,826985,-1,-1,11170,928104,-1,692004,-1,885725,-1,-1,-1,-1,19115,362103,-1,-1,-1,635854,-1,-1,-1,-1,-1,-1,467853,629836,394151,55830,74768,301329,208679,-1,-1,565482,-1,26651,478746,-1,-1,-1,-1,-1,217673,-1,589933,-1,216832,129750,241429,-1,-1,-1,588882,942007,-1,493114,344762,4943,59447,734954,-1,-1,-1,-1,889570,415193,-1,900608,-1,536620,411108,194474,-1,113387,-1,-1,631682,-1,875245,-1,215628,563249,440989,-1,585346,-1,-1,-1,535350,788086,370848,939855,-1,476157,373696,901303,-1,-1,676750,193425,944238,-1,-1,-1,45115,378109,601486,453416,-1,-1,586738,-1,-1,983577,589598,637694,-1,745428,-1,578110,-1,-1,814366,453131,-1,263872,-1,-1,-1,-1,-1,-1,346798,644485,-1,125970,379076,713670,-1,-1,253974,-1,548123,-1,516728,263908,727513,77273,-1,356581,-1,-1,-1,69753,800308,765686,217025,300570,-1,-1,723840,301686,724936,-1,-1,-1,-1,-1,600029,-1,-1,-1,-1,-1,403548,907417,876565,-1,-1,205423,-1,314103,391367,358426,297246,233793,-1,229232,949297,-1,-1,-1,-1,-1,339652,-1,-1,487062,593624,-1,625912,183546,-1,-1,-1,419643,662816,-1,684650,643839,444167,-1,-1,-1,588040,24508,651072,-1,-1,-1,155798,-1,467396,-1,175513,995003,-1,-1,971851,262949,832551,-1,-1,-1,-1,489773,82321,-1,-1,-1,-1,531987,-1,-1,-1,609727,-1,-1,-1,-1,-1,961211,248642,-1,249224,-1,-1,-1,-1,669492,372601,-1,19302,155760,-1,706774,-1,-1,-1,-1,526469,277996,-1,388818,-1,129255,870323,-1,718738,735712,-1,-1,983869,-1,-1,283101,-1,-1,-1,-1,102259,-1,623506,669899,545366,-1,602598,991356,-1,359733,-1,24806,667129,-1,-1,-1,-1,197173,959881,-1,-1,385939,-1,-1,-1,680561,153112,742593,898872,966698,811092,491036,-1,-1,-1,655082,-1,179120,-1,-1,-1,449432,-1,-1,-1,-1,803870,388473,75707,-1,541122,241044,-1,-1,25664,-1,-1,107194,391927,351879,931646,848393,482290,-1,129789,217901,-1,161424,-1,-1,9744,616948,189751,-1,468467,-1,44823,-1,981314,636932,-1,-1,-1,-1,111207,-1,-1,139294,-1,-1,822921,-1,-1,-1,187565,-1,251307,-1,503084,188694,651793,-1,-1,143406,-1,-1,291870,-1,134659,-1,-1,121566,-1,389521,978347,59108,515167,-1,-1,606210,-1,436465,714027,-1,-1,423389,197021,498110,850973,-1,62153,688596,493899,389184,-1,-1,-1,-1,-1,661453,-1,977818,-1,-1,67155,-1,818572,-1,-1,869112,405713,460820,476309,-1,-1,562920,776983,-1,255886,922993,411290,613717,599611,-1,-1,895582,-1,72148,-1,696999,312654,629226,-1,-1,-1,805305,112019,-1,143382,599635,214283,651095,678762,534371,-1,864897,674469,36552,885145,440189,-1,-1,917407,-1,-1,-1,202628,-1,-1,-1,-1,241069,-1,907998,-1,-1,618148,-1,165722,223992,394384,-1,692463,498330,824511,-1,-1,-1,-1,-1,-1,973260,-1,814356,586727,45917,-1,-1,-1,549372,-1,-1,875958,-1,-1,-1,-1,267475,-1,-1,886666,-1,-1,234766,664972,505933,-1,-1,-1,543347,-1,563461,-1,410743,818345,-1,166983,-1,206105,147273,-1,-1,476592,266104,314676,-1,-1,851580,-1,25458,-1,800806,734017,351103,315759,575413,311231,-1,-1,793823,-1,433699,-1,934262,-1,-1,89938,502940,359608,691036,86796,-1,560761,882174,973149,-1,743338,-1,507158,-1,-1,841063,-1,-1,316435,-1,444214,-1,-1,-1,912007,-1,685403,-1,-1,-1,17143,396302,-1,534227,507010,701145,379252,392782,140520,-1,50353,951868,927451,24795,-1,-1,795119,-1,-1,482122,766171,948606,-1,-1,-1,839054,302625,933756,339883,-1,-1,859821,-1,47282,961226,-1,980631,-1,-1,402237,55663,-1,373693,963080,-1,851761,-1,683926,988094,-1,-1,-1,-1,302040,-1,-1,63885,782686,768110,-1,-1,-1,85845,918586,728480,760721,81853,-1,-1,645276,-1,-1,-1,-1,-1,-1,-1,256700,150014,575986,-1,-1,-1,739405,159987,973104,555455,-1,-1,324715,137795,182803,-1,43799,-1,-1,-1,770598,-1,-1,-1,147391,453205,-1,545065,-1,-1,-1,-1,144240,-1,700008,-1,606206,764667,-1,-1,323919,-1,125257,-1,245280,228395,-1,83920,-1,-1,-1,-1,926290,-1,-1,-1,-1,-1,931757,482317,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,646589,-1,410070,232991,-1,-1,-1,-1,596085,-1,39599,137915,585342,168763,459110,-1,615187,-1,-1,105264,-1,813331,-1,-1,768796,492710,-1,-1,-1,-1,137682,-1,-1,250375,523656,73914,-1,-1,-1,176789,254401,-1,-1,254978,-1,145375,615263,-1,-1,-1,416417,-1,-1,-1,112369,401500,578786,814829,-1,-1,343443,552168,512892,996974,863806,-1,-1,-1,-1,344608,-1,663294,-1,313473,614888,-1,-1,834369,139750,551924,-1,933549,194303,163971,232008,388410,303809,-1,252551,747729,-1,96171,-1,-1,481896,285772,819203,-1,706660,-1,267830,762628,189446,-1,-1,-1,-1,350121,-1,4944,-1,-1,-1,-1,943574,-1,21079,-1,985235,-1,-1,-1,-1,-1,991802,-1,420700,136508,787352,-1,938927,-1,915214,-1,-1,-1,437773,-1,-1,-1,409005,127370,252800,-1,-1,785272,146491,220100,-1,807,-1,-1,657753,462334,-1,-1,-1,-1,60833,-1,23055,-1,-1,-1,245003,634145,182653,-1,842068,276296,-1,-1,-1,368783,-1,201945,-1,-1,-1,-1,798814,834819,-1,-1,559999,-1,454300,-1,-1,-1,948038,795615,-1,-1,746759,959689,-1,-1,874308,-1,856374,601637,526187,-1,-1,453912,-1,-1,285841,75429,-1,-1,711463,-1,-1,-1,301712,-1,-1,-1,-1,914620,21699,105865,482505,124591,193816,-1,-1,246925,426662,-1,996511,11001,961779,-1,-1,671777,379381,-1,-1,-1,-1,342029,901239,-1,888530,583179,305989,-1,-1,299511,-1,547605,-1,-1,101606,458435,-1,-1,241667,-1,-1,967824,-1,-1,576238,-1,-1,880969,-1,415942,-1,-1,-1,-1,-1,-1,-1,-1,85694,362324,-1,-1,-1,786,-1,346855,-1,376717,470383,250486,68460,-1,-1,12413,-1,495409,340821,381390,-1,395453,-1,-1,807659,276740,-1,-1,993141,-1,-1,731472,845811,112948,-1,811380,299638,199232,-1,194033,969956,-1,-1,244006,909909,793203,-1,-1,-1,-1,831015,919,759901,-1,954139,-1,860439,456517,-1,505221,930495,-1,-1,619913,404359,-1,788499,285631,-1,824139,341906,370882,274874,-1,797492,611210,519613,-1,-1,-1,-1,-1,-1,815478,359347,-1,-1,-1,-1,-1,900547,-1,-1,-1,-1,-1,785913,551897,-1,142590,-1,-1,-1,-1,-1,-1,964359,639255,-1,-1,-1,-1,-1,147101,674811,-1,178223,32283,931057,733559,933605,-1,50389,-1,624056,312714,-1,270254,471245,-1,584142,542802,854878,824257,910564,-1,-1,-1,-1,875671,-1,-1,-1,-1,-1,666944,652091,-1,-1,-1,443010,391057,-1,-1,17476,-1,-1,222501,-1,-1,243523,631497,599727,-1,116783,603208,-1,-1,375778,840855,280998,-1,630677,-1,238361,-1,750529,977243,-1,360423,61220,-1,401764,816742,640965,-1,-1,335470,794534,291447,-1,457605,529007,-1,47692,77362,611231,774246,-1,174057,775901,-1,77723,509295,-1,-1,896633,-1,-1,43638,959368,993398,-1,-1,-1,-1,-1,511867,615497,-1,290427,-1,-1,16507,-1,420964,-1,782616,628902,-1,-1,-1,-1,-1,157386,862336,146497,699481,-1,-1,-1,827512,935802,-1,-1,-1,-1,-1,509178,-1,-1,-1,173093,-1,-1,27555,38239,-1,699679,-1,-1,-1,-1,-1,382201,275130,-1,375112,-1,759532,-1,-1,-1,-1,757298,598218,75266,-1,408234,323790,441966,626844,-1,314212,352178,422566,825883,142510,341940,526647,-1,570155,-1,926484,262725,773799,628690,-1,108634,-1,653125,-1,256472,646121,997409,-1,-1,-1,-1,758439,-1,633392,-1,-1,-1,-1,751969,-1,991805,-1,508742,-1,274812,568836,-1,69049,-1,681709,445595,-1,-1,-1,-1,660933,661698,-1,-1,600519,-1,530751,-1,928277,236622,-1,-1,-1,190453,-1,-1,-1,399530,619111,999157,-1,-1,-1,594805,-1,-1,-1,829855,-1,-1,149736,600372,234395,-1,298501,725545,821480,511364,389843,910692,331799,163580,879002,969304,-1,-1,-1,785053,-1,645193,-1,880067,925940,-1,-1,928378,688738,656373,-1,85343,-1,-1,17262,-1,700313,-1,-1,467001,-1,937306,-1,776639,515592,758404,372167,-1,-1,392535,-1,132951,-1,293348,-1,196647,100050,230494,-1,-1,-1,830049,-1,908482,-1,-1,143216,-1,258762,987865,-1,112453,279484,-1,-1,-1,928443,-1,223135,-1,892037,-1,-1,-1,846195,-1,395475,378311,-1,400632,-1,-1,-1,674451,495480,-1,378814,-1,300503,347635,-1,-1,-1,636955,754686,958625,-1,703308,-1,605721,428200,-1,-1,-1,-1,972140,-1,-1,620875,-1,453541,892874,63092,-1,788574,-1,-1,-1,-1,436103,-1,-1,206494,330757,-1,769777,-1,-1,-1,-1,278,53250,964609,643237,-1,-1,241978,-1,-1,218377,433754,14070,65449,-1,763479,994143,114609,-1,-1,808179,447299,60158,851100,542969,503712,451337,-1,265986,-1,-1,332552,911889,445658,-1,860301,895927,-1,451509,460,-1,-1,-1,205749,-1,841418,-1,181247,247867,24257,-1,-1,935474,902029,-1,-1,286048,230504,-1,-1,867562,-1,-1,681726,618834,-1,-1,-1,-1,911602,-1,848637,884777,-1,-1,733494,-1,-1,583604,770870,989015,223850,930532,373258,-1,-1,262754,307782,-1,114086,966242,288213,423979,-1,-1,-1,-1,809227,170580,745136,748914,779199,-1,-1,-1,325609,-1,-1,559914,-1,-1,672011,-1,-1,-1,208083,965174,-1,419949,-1,-1,-1,24231,181484,992397,787841,-1,-1,166700,46875,252511,-1,-1,-1,-1,-1,754130,-1,552244,295712,536778,-1,-1,-1,-1,-1,-1,577609,544041,-1,-1,-1,489256,-1,-1,-1,-1,-1,1303,244185,-1,-1,106616,482655,-1,289534,-1,-1,-1,418505,413486,362322,-1,-1,-1,-1,978629,-1,614830,-1,-1,-1,661571,-1,-1,953726,-1,362579,-1,-1,-1,-1,-1,362938,593286,746163,142439,333567,-1,-1,-1,-1,-1,163680,-1,399652,179803,789853,304556,-1,684302,846372,-1,-1,535862,-1,-1,-1,692525,-1,787059,227736,709940,-1,790520,-1,993610,-1,902974,-1,-1,-1,825503,-1,-1,-1,246090,503028,-1,-1,-1,-1,-1,-1,196676,-1,622085,-1,676989,-1,513349,583211,-1,-1,-1,-1,-1,-1,376613,779224,81780,-1,443383,-1,-1,610924,-1,-1,172396,-1,-1,271728,592000,-1,-1,-1,-1,525039,403712,-1,-1,-1,600492,224600,692814,-1,-1,118079,827229,-1,920635,494394,901222,705876,271318,-1,-1,95336,638879,-1,142568,605807,-1,758366,-1,51401,-1,270692,-1,-1,239992,57,126514,702549,208812,-1,-1,575815,-1,452731,164420,-1,752464,-1,767918,990548,-1,-1,791737,979787,334057,730662,-1,614868,889516,358137,928046,-1,-1,-1,-1,22249,955283,-1,991399,675486,507420,-1,-1,968312,296892,-1,-1,11782,250119,458446,346334,267837,615713,632643,-1,505510,-1,-1,44498,-1,-1,-1,503916,-1,102027,-1,-1,938843,-1,-1,826644,263366,-1,367198,227371,-1,817070,930671,851069,628956,63577,-1,-1,-1,-1,388066,-1,-1,667283,-1,-1,464574,-1,-1,11127,668426,369907,-1,-1,911352,-1,-1,-1,380674,-1,-1,795001,33609,-1,147449,-1,246049,-1,990877,-1,528634,322215,900753,-1,-1,755087,694248,155557,-1,-1,-1,-1,-1,754409,143693,-1,-1,-1,117227,579293,-1,-1,49705,982610,-1,-1,172893,360866,-1,284272,625466,-1,-1,738353,393118,-1,267725,-1,558238,725434,-1,840678,344194,-1,-1,571858,705640,-1,770588,-1,841415,479180,-1,-1,847350,25778,-1,-1,576962,-1,-1,-1,763517,-1,843936,-1,-1,691204,106630,-1,-1,897138,826715,-1,-1,757449,862607,-1,505075,-1,-1,320451,-1,-1,-1,134819,543826,433631,-1,-1,680833,592071,-1,72895,-1,71041,-1,-1,-1,-1,289618,299464,-1,-1,779182,-1,459238,-1,-1,337652,-1,-1,-1,-1,338474,-1,278221,-1,-1,459961,-1,-1,265693,746048,-1,355935,109895,-1,-1,369760,-1,-1,-1,230825,192871,-1,-1,-1,-1,241308,239751,296245,-1,-1,-1,515032,-1,128460,-1,391471,969391,-1,653729,233653,-1,-1,-1,-1,-1,896484,567912,-1,-1,-1,493163,525285,-1,999375,-1,-1,-1,-1,264413,238426,-1,895746,-1,777838,623286,925243,-1,489327,367748,-1,-1,726383,919179,-1,623287,227476,-1,977057,-1,-1,580873,544579,-1,-1,261345,196717,842125,328807,773224,852241,-1,-1,331301,499230,-1,636984,528798,414461,47047,101252,-1,-1,371880,112134,612203,-1,484009,-1,697758,-1,-1,492112,576042,-1,-1,625561,96058,615262,282312,-1,-1,-1,668721,938639,143940,-1,572087,720381,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,268625,-1,726684,-1,-1,-1,19648,-1,916114,84928,602522,544995,-1,483032,460209,572327,697607,964159,544124,-1,796113,454946,-1,-1,-1,-1,548929,-1,854997,-1,603485,-1,-1,-1,-1,50878,-1,-1,878035,-1,-1,-1,641662,-1,-1,-1,75620,-1,446448,-1,491524,-1,571782,695829,-1,148943,756311,-1,-1,-1,-1,796539,72672,-1,304001,-1,77898,-1,-1,-1,410583,-1,-1,387003,-1,517114,308399,-1,657166,-1,601134,680316,-1,364944,950089,740597,-1,-1,311763,-1,704238,-1,385222,-1,-1,-1,-1,62365,172433,234171,-1,780145,-1,-1,211721,-1,-1,822174,551856,-1,111256,-1,-1,-1,-1,-1,493493,582108,17855,-1,619608,-1,-1,325198,-1,-1,180693,-1,-1,-1,-1,128038,159359,-1,782375,-1,785624,-1,-1,-1,721882,-1,-1,76618,536049,946414,137051,-1,-1,-1,157031,125294,592535,-1,-1,195214,296708,-1,-1,249360,-1,-1,-1,-1,170971,75061,719031,-1,-1,323863,-1,-1,979702,-1,950354,-1,-1,-1,-1,-1,-1,201268,205219,-1,-1,350971,-1,-1,-1,32583,-1,-1,-1,-1,-1,-1,364992,506333,661500,214416,663454,-1,961160,166505,-1,825991,665104,848245,-1,-1,-1,137189,324302,-1,-1,811078,867437,-1,294584,455610,-1,-1,488372,72684,-1,-1,911551,218822,543941,-1,-1,-1,561345,363235,-1,157538,-1,-1,418775,-1,-1,973443,-1,-1,2551,165955,-1,-1,804372,766807,301866,541277,813478,161022,964533,-1,724564,498284,286456,-1,758320,491726,-1,-1,-1,-1,268820,-1,-1,549141,165185,788400,373772,856549,68112,962763,250802,28358,-1,780125,-1,-1,350956,238301,882388,93264,880427,877637,-1,-1,615430,560822,251685,735388,-1,985264,854612,-1,-1,319301,411544,-1,-1,-1,739107,959967,-1,994005,-1,654994,-1,-1,513229,504627,-1,-1,683005,714961,-1,726366,-1,811612,-1,-1,328609,-1,-1,-1,652282,629275,6071,-1,402283,781962,-1,380115,-1,-1,491974,-1,439414,-1,694156,-1,346666,922379,-1,-1,449804,-1,-1,262875,-1,-1,-1,-1,-1,-1,-1,-1,-1,965634,-1,-1,338983,767757,113465,-1,-1,121074,-1,667968,217401,-1,337106,-1,-1,935736,-1,971358,-1,453810,272148,-1,306459,-1,-1,-1,393555,707789,-1,19304,159836,-1,408779,-1,688042,-1,45250,-1,-1,-1,-1,-1,-1,783036,21392,496743,528512,-1,732624,-1,-1,-1,632582,-1,461052,767598,83222,752318,-1,-1,461862,-1,776889,446900,349530,-1,625081,-1,510643,321813,146875,781767,-1,727270,455666,-1,446884,-1,-1,326663,551326,-1,926271,-1,-1,691240,-1,-1,-1,-1,120026,794422,42866,357117,-1,728859,-1,377828,905797,-1,-1,-1,-1,-1,-1,542861,-1,234013,-1,-1,241025,250125,515567,-1,963764,-1,120488,-1,230292,-1,501268,178939,-1,885412,552525,511762,514690,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,281335,9858,-1,-1,-1,-1,-1,-1,558926,689132,-1,430440,244529,-1,-1,-1,-1,649249,-1,-1,175884,-1,280684,-1,690684,-1,154155,620,-1,-1,52089,-1,-1,480429,299413,733200,749824,-1,58232,540146,998419,-1,-1,-1,714497,784562,888159,574380,-1,-1,91811,478723,679959,649130,-1,6348,-1,743394,283434,598510,-1,-1,-1,-1,-1,-1,-1,-1,-1,388357,364433,712486,461321,316649,-1,319253,409860,862163,178537,623659,-1,-1,-1,870251,130534,153077,837461,-1,361720,332964,-1,324922,-1,75897,270171,-1,508068,212352,644971,-1,-1,200108,-1,231601,-1,-1,-1,735356,-1,-1,393772,12128,-1,512907,181220,-1,366150,-1,212836,482671,336085,-1,-1,-1,-1,-1,-1,-1,309302,-1,838150,39656,627405,346738,-1,-1,-1,-1,-1,555392,-1,539531,-1,845889,-1,178776,-1,862147,844954,-1,-1,525887,-1,554277,813756,-1,486622,-1,513600,559331,-1,239334,-1,-1,6399,594613,17358,436954,564923,-1,742615,-1,-1,415526,626176,761618,4667,-1,-1,-1,-1,-1,-1,442841,-1,226129,725438,969655,735308,285873,-1,-1,-1,-1,237925,415214,-1,358296,890841,-1,208135,-1,732911,358299,-1,186548,-1,918673,33291,-1,828767,242658,389670,334692,-1,304492,299010,-1,-1,267172,-1,-1,-1,-1,675042,439737,661878,-1,767332,-1,80827,94696,252333,402195,-1,233084,590052,-1,511725,227375,188346,-1,502000,38554,-1,386149,-1,-1,50176,-1,-1,-1,-1,803054,78496,224955,-1,774639,756741,-1,438193,-1,-1,-1,615458,-1,-1,-1,36662,-1,969010,-1,-1,-1,-1,17412,582142,-1,388387,-1,-1,570278,922726,-1,994678,452073,298071,864916,-1,543202,756692,-1,-1,-1,779111,-1,-1,604103,-1,-1,-1,-1,30709,-1,372236,-1,787220,-1,78850,-1,-1,417761,-1,-1,-1,-1,680031,887641,-1,-1,150545,-1,-1,140622,891419,-1,-1,-1,-1,105193,-1,641639,455406,-1,661601,-1,-1,470575,-1,-1,392053,193600,322824,531461,89349,-1,-1,-1,-1,120938,-1,43600,-1,295937,-1,-1,-1,968591,331742,-1,163079,-1,-1,-1,-1,603281,677965,-1,918461,183909,-1,558210,-1,-1,371804,-1,-1,412641,-1,201746,-1,922722,705765,-1,-1,-1,727034,496189,896218,138333,-1,-1,-1,-1,132906,-1,-1,472367,-1,983466,-1,632612,-1,504982,717045,-1,838388,22975,-1,-1,-1,-1,712821,-1,-1,654281,-1,63851,982660,-1,-1,-1,-1,82252,-1,163289,-1,501626,-1,948903,132949,712761,884986,-1,569857,-1,370510,35896,-1,-1,780214,852453,986838,764183,-1,-1,-1,-1,921810,-1,-1,504767,941099,-1,652468,-1,175658,-1,962601,409165,777819,-1,920256,-1,-1,-1,-1,860404,-1,961557,-1,-1,68144,461215,326875,847637,171397,76233,123590,825999,-1,576128,476723,-1,48192,92363,851456,35779,-1,999119,-1,-1,-1,-1,-1,-1,520650,-1,276352,-1,-1,-1,-1,599560,41785,-1,-1,832776,887115,848137,166614,609704,922059,436325,586879,662113,-1,-1,316227,-1,422164,512224,-1,-1,-1,672456,-1,-1,-1,-1,434439,-1,-1,383025,739115,543603,265716,-1,606751,-1,970818,-1,-1,-1,-1,-1,869036,-1,939109,156329,-1,611420,977793,288248,52588,-1,110363,501352,270591,-1,697596,863344,-1,-1,-1,-1,951056,-1,131548,-1,-1,870315,804052,-1,-1,-1,-1,-1,814298,752912,918263,-1,455427,-1,438561,-1,-1,659211,-1,-1,473236,-1,875211,355068,-1,434448,916230,-1,835851,-1,-1,405474,725149,-1,-1,-1,591934,-1,-1,-1,-1,949118,-1,82000,-1,-1,967388,-1,-1,-1,-1,784601,-1,550631,-1,-1,165646,730421,303514,217641,-1,-1,-1,-1,960163,995460,38647,599462,170653,-1,-1,-1,-1,-1,320285,591868,955063,-1,-1,782446,407896,-1,323831,143314,263391,-1,-1,305912,487381,408432,-1,447981,-1,-1,844145,982251,765051,749731,228498,81306,-1,-1,-1,-1,-1,-1,169121,-1,-1,-1,369075,-1,963525,-1,421364,-1,181405,-1,456164,-1,673582,859701,106807,549221,396095,74205,938280,902747,-1,-1,216645,-1,-1,-1,-1,-1,240113,284781,395150,961321,89166,-1,-1,-1,-1,-1,859890,-1,501803,-1,648558,838550,-1,-1,157768,2047,30102,-1,945067,168797,-1,155618,416188,-1,-1,84426,946496,-1,-1,-1,-1,-1,777211,-1,547905,679371,-1,-1,250117,-1,-1,-1,-1,356452,-1,-1,926140,-1,502094,-1,264682,582728,-1,196083,666971,97435,572045,-1,-1,894178,711408,-1,-1,-1,378744,-1,-1,633339,-1,-1,387139,130515,374480,-1,991350,266185,182150,-1,313291,-1,-1,-1,-1,-1,-1,821882,41615,-1,899055,-1,101662,-1,-1,837382,23376,697399,857423,577173,548410,395103,-1,449375,-1,-1,671630,-1,112204,838405,-1,28537,930744,-1,422793,592333,-1,329467,960609,460750,194269,665801,-1,-1,-1,-1,532400,-1,68882,-1,-1,-1,-1,342435,-1,-1,6300,290027,-1,749313,-1,-1,-1,306235,775537,-1,77732,606311,-1,435989,-1,-1,-1,63097,288583,206607,860641,-1,-1,-1,454364,-1,-1,262432,291395,-1,-1,-1,958484,502770,-1,-1,-1,-1,-1,983069,-1,464012,968870,-1,826468,-1,-1,686228,-1,-1,646892,-1,-1,538327,863126,327459,-1,-1,-1,-1,-1,144942,-1,-1,530301,-1,-1,387658,731903,-1,231280,176532,996824,73003,-1,-1,831767,584180,499145,1803,-1,-1,-1,-1,-1,-1,914229,380282,-1,-1,617943,-1,750532,-1,680690,-1,-1,-1,-1,-1,491989,928247,-1,647950,181865,229423,-1,767401,-1,469840,298914,692861,-1,943559,58841,371834,954957,96663,-1,82038,117507,972727,133303,839498,95919,-1,-1,-1,-1,906821,830025,-1,977907,-1,-1,-1,-1,-1,-1,529180,627340,-1,-1,452430,-1,-1,-1,348551,184157,-1,-1,826708,140221,-1,386040,-1,-1,-1,-1,726635,665766,-1,190758,950892,-1,846561,-1,-1,202679,969847,132707,957824,554726,-1,10542,-1,541852,-1,584483,23402,766325,223937,928589,-1,329134,-1,-1,826878,270852,440750,928513,-1,155139,999284,-1,-1,-1,-1,-1,-1,295069,553436,791232,-1,-1,391479,809705,-1,664599,-1,-1,-1,601802,697111,-1,694921,-1,100277,658114,396663,69825,-1,-1,-1,593590,-1,-1,701494,-1,401636,-1,-1,-1,-1,-1,-1,541470,612933,341360,397638,929231,-1,502845,772549,-1,-1,39814,-1,-1,437553,-1,124311,-1,-1,-1,-1,59987,-1,-1,130421,118005,-1,-1,-1,403105,-1,437637,-1,368078,488857,-1,871660,-1,-1,159055,-1,-1,-1,-1,785135,46419,995211,-1,743188,657322,532236,-1,-1,-1,304474,-1,320694,-1,688354,-1,-1,760864,-1,246937,-1,486248,650729,-1,810367,-1,-1,867451,-1,455244,997662,610612,682550,78842,144571,445800,-1,-1,-1,278630,247069,284046,-1,-1,701207,-1,-1,20437,-1,118223,-1,-1,560685,549801,-1,844086,-1,685385,-1,-1,861318,7529,395125,-1,717965,-1,766502,-1,-1,-1,-1,96910,987028,903695,416368,363136,-1,-1,-1,517283,-1,-1,787532,249477,-1,979522,-1,157693,462469,-1,-1,44042,269702,-1,-1,31320,-1,2992,-1,-1,-1,592525,-1,62600,-1,330392,24599,575885,-1,-1,561450,-1,811168,186172,-1,-1,780723,-1,10921,-1,-1,381066,-1,378985,892382,177424,770219,810093,-1,-1,-1,563908,-1,-1,-1,692363,258124,-1,516992,932678,-1,351422,-1,-1,-1,618908,-1,-1,468841,-1,487721,595695,-1,55809,166504,-1,-1,-1,399246,-1,-1,-1,-1,332109,317049,-1,828653,581173,-1,-1,212621,-1,24950,940790,634384,-1,-1,-1,-1,25194,280384,745921,-1,-1,-1,236749,-1,539467,826044,184286,-1,320192,-1,314680,558362,-1,-1,17519,78994,-1,-1,19172,377002,324392,452589,-1,-1,-1,-1,113977,931474,-1,328584,814519,-1,-1,486132,940362,633018,298210,-1,877403,322273,-1,-1,272092,-1,191279,-1,670668,906810,43887,-1,-1,-1,-1,-1,7323,-1,-1,-1,536238,-1,846856,286022,-1,357553,413053,-1,-1,270443,-1,-1,-1,-1,-1,833512,968698,496694,-1,-1,-1,-1,277801,-1,246320,108581,-1,-1,5740,-1,-1,54014,-1,945904,33810,-1,-1,-1,820093,-1,49346,200899,-1,307078,-1,-1,-1,-1,-1,-1,726505,545798,-1,-1,-1,30247,304583,-1,-1,792717,426679,71936,-1,98467,-1,-1,190638,-1,614865,550126,-1,38772,-1,911382,870004,91058,370114,664095,-1,149066,981871,-1,953732,-1,-1,674461,32208,901292,523890,-1,-1,250708,-1,-1,-1,-1,-1,434218,26561,568958,-1,895504,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,747505,39762,291299,-1,-1,-1,-1,-1,-1,-1,175527,-1,-1,355932,-1,-1,592213,-1,-1,-1,-1,-1,957428,-1,-1,-1,-1,-1,-1,-1,-1,-1,81119,-1,-1,-1,312575,32705,-1,-1,-1,-1,374924,624230,647325,-1,-1,-1,-1,-1,-1,314620,756395,-1,85858,-1,-1,-1,-1,-1,-1,-1,-1,-1,521386,6203,998910,301343,594760,-1,689846,-1,485430,689697,-1,-1,-1,-1,559293,334663,-1,794248,390908,-1,13286,-1,-1,-1,741234,381602,385300,180853,437760,-1,-1,242644,-1,-1,-1,522223,321020,984594,-1,203461,-1,273016,706803,-1,-1,-1,-1,-1,-1,-1,526651,-1,222117,793096,951689,414799,-1,762129,-1,-1,-1,942654,-1,-1,-1,-1,639505,14202,-1,-1,637825,389020,804227,-1,43412,-1,-1,868609,603180,-1,17241,977987,-1,801425,182603,81381,-1,464622,111769,318616,-1,-1,-1,-1,558197,-1,172157,917792,227813,717957,891320,-1,-1,-1,965449,997637,485613,-1,101389,811480,638738,-1,-1,207273,-1,-1,-1,-1,-1,43931,250280,-1,844936,890216,-1,-1,57474,28595,-1,900284,645408,967861,331525,290384,346570,-1,14552,-1,946108,107709,452407,710831,612468,-1,884374,631756,734900,917699,889174,60166,398538,-1,490226,655179,305855,697954,-1,604786,405586,-1,544088,-1,-1,-1,477283,2091,361212,95147,94493,-1,-1,533023,-1,827606,-1,645805,283005,821656,-1,-1,-1,126666,264338,368745,465274,336744,949408,-1,692993,906489,-1,-1,-1,-1,374613,455782,-1,-1,-1,133603,-1,677596,-1,-1,-1,-1,-1,306186,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,465841,852210,-1,965485,692222,-1,68412,-1,777152,-1,-1,234821,-1,-1,-1,47568,208751,-1,-1,-1,-1,89489,-1,357056,893770,648663,764079,-1,-1,-1,682894,24782,-1,500083,680099,547023,-1,901541,689522,-1,990817,-1,795392,455773,-1,784813,637938,-1,-1,-1,597445,104012,994315,-1,-1,-1,958911,-1,-1,-1,303501,-1,357380,567048,-1,56063,490,-1,-1,247619,-1,-1,-1,158830,-1,-1,-1,45334,934129,17120,-1,684669,-1,-1,664477,-1,-1,-1,-1,-1,-1,512497,541721,-1,870511,-1,693221,-1,329400,871594,179510,870299,220398,47374,-1,-1,-1,845928,558143,508984,356781,576361,680999,-1,-1,304238,-1,-1,-1,432207,426401,3397,-1,-1,-1,509258,115534,-1,-1,134506,-1,573298,-1,536833,904315,133264,637132,-1,-1,-1,-1,-1,-1,638759,-1,-1,278414,-1,251070,325340,946746,367507,-1,402939,719072,108351,-1,713942,-1,402509,-1,319059,-1,-1,713105,436008,706690,-1,762408,-1,213532,-1,972107,-1,-1,-1,442383,-1,660117,-1,-1,785458,-1,-1,-1,442666,-1,-1,-1,519293,711863,-1,-1,-1,885597,-1,-1,289205,-1,-1,99292,816749,-1,-1,808844,-1,-1,108868,-1,745047,-1,980902,530825,839018,-1,28969,-1,-1,-1,-1,-1,878015,450665,-1,-1,217841,-1,672842,-1,973802,725883,-1,42305,315413,-1,431606,-1,913449,-1,635708,-1,879068,977355,-1,147569,148365,-1,-1,215762,-1,475639,-1,-1,-1,297892,651102,93835,99024,-1,-1,-1,-1,-1,745700,893781,-1,-1,-1,224297,-1,-1,-1,251256,336255,-1,-1,59569,-1,301894,599374,-1,-1,973685,-1,-1,631576,-1,536177,85065,93116,-1,173529,200605,-1,-1,112490,440082,-1,894690,-1,785888,-1,-1,-1,765234,-1,814654,-1,500920,617022,-1,774977,5384,-1,-1,-1,-1,978759,-1,-1,340860,-1,-1,-1,6797,-1,-1,654460,190276,-1,429918,804574,-1,-1,506115,-1,560181,572033,-1,144107,891797,127077,575883,407003,-1,-1,-1,776064,-1,-1,226312,232442,627976,-1,271316,357778,-1,-1,262941,-1,-1,-1,-1,761326,367573,-1,116145,58612,677341,580103,585208,114422,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,136710,689011,843569,900698,573794,104797,940278,739145,-1,824120,-1,-1,-1,252799,-1,-1,-1,408996,758236,484737,788076,-1,-1,737968,513382,383678,110575,36689,518826,-1,-1,834034,-1,-1,-1,-1,643364,223028,-1,873000,-1,-1,-1,-1,737648,-1,86324,-1,-1,-1,368897,52555,-1,289663,357921,-1,-1,82138,26460,-1,-1,-1,-1,274846,361105,758809,-1,-1,767331,-1,828635,-1,921047,943510,222235,48616,858691,918776,-1,-1,352780,-1,-1,-1,413431,998635,983578,910261,-1,-1,229553,-1,-1,-1,103077,-1,475957,566452,-1,-1,83908,-1,-1,-1,582326,996470,271498,140625,304605,442718,-1,-1,-1,792251,66529,-1,-1,-1,508627,-1,561850,199782,798383,-1,-1,42862,93952,269634,758490,-1,476792,899794,-1,-1,287897,140420,591013,-1,604331,304717,-1,351871,-1,615426,-1,945933,658475,75703,-1,401647,953962,437049,-1,207380,856680,-1,-1,300962,-1,-1,-1,854865,957865,244063,-1,-1,-1,-1,328594,898284,518118,295688,-1,-1,410827,-1,56084,-1,-1,282572,800396,-1,-1,-1,-1,-1,70546,-1,711876,-1,-1,-1,66865,807551,-1,115877,-1,-1,899245,705645,213326,-1,291221,-1,333342,554758,772434,596016,-1,-1,591205,-1,325716,700592,866442,-1,-1,154984,920049,164930,142905,-1,-1,224205,894629,735407,-1,411653,463894,976838,-1,583699,-1,492933,468460,-1,-1,293959,174122,-1,443207,-1,933236,430180,-1,407046,-1,268245,714625,216316,-1,-1,-1,896877,968583,-1,769431,-1,772793,-1,931312,-1,-1,634486,366387,565800,-1,645703,342617,-1,-1,693176,-1,-1,-1,818642,533092,31020,-1,-1,-1,387196,743993,329198,307052,733061,-1,-1,881710,217433,-1,-1,-1,25002,-1,-1,529098,289046,28168,236467,374053,-1,-1,-1,-1,-1,152635,828421,728953,482202,407282,827352,-1,-1,-1,-1,205012,-1,-1,-1,283010,-1,674067,756557,758986,-1,712522,696560,778653,-1,375039,-1,-1,834261,454254,626963,349132,-1,263080,-1,999897,-1,-1,-1,-1,-1,954468,238148,666051,-1,435432,888016,945693,341368,-1,607531,544612,467405,-1,-1,-1,164201,-1,-1,-1,-1,858847,915784,-1,-1,-1,137878,-1,198490,697352,329917,-1,630897,37210,-1,789502,-1,-1,-1,115825,-1,454269,609972,-1,-1,-1,394810,322157,70271,330855,655495,-1,-1,-1,500764,-1,792332,-1,777150,933810,843038,-1,-1,411203,877266,-1,142700,-1,715736,-1,-1,-1,-1,-1,-1,354279,-1,340612,-1,3226,-1,62938,-1,-1,-1,348350,36753,-1,813992,-1,-1,857980,42931,-1,-1,-1,-1,-1,740627,537168,-1,292618,-1,-1,-1,-1,-1,-1,-1,-1,827126,-1,-1,806045,863048,841245,-1,573541,-1,-1,-1,-1,719815,641706,345994,838735,320221,230495,-1,887553,127302,-1,-1,563457,177589,807291,767233,527169,-1,-1,-1,-1,-1,602206,948127,-1,-1,-1,789037,782645,-1,-1,-1,-1,-1,805867,830829,733397,-1,877622,-1,101021,-1,-1,162417,742674,-1,852235,659294,-1,-1,-1,744699,657337,953394,994672,-1,-1,-1,-1,837987,-1,-1,-1,86665,-1,490187,454685,177322,543968,983440,90852,861582,-1,68517,132299,371193,-1,-1,-1,-1,403354,312591,-1,-1,-1,981588,-1,75997,-1,-1,-1,870069,461907,787577,862486,912460,879456,-1,451968,799945,-1,432656,182501,882031,-1,276277,-1,85711,-1,-1,-1,820905,909216,-1,446307,-1,-1,357283,668675,-1,742230,-1,-1,-1,287135,323531,833219,137741,-1,937217,-1,-1,-1,-1,-1,749712,-1,-1,828550,541096,-1,-1,-1,-1,-1,653973,142854,-1,-1,-1,-1,-1,-1,-1,89179,668993,727942,772315,-1,-1,642700,-1,294357,-1,-1,956614,793257,840985,-1,305083,-1,-1,-1,727553,-1,607579,65229,-1,318940,992254,-1,-1,277549,779856,-1,-1,-1,557380,960690,-1,221447,204659,423169,564008,-1,-1,438507,737189,-1,-1,379757,-1,553170,-1,-1,664654,371608,-1,36481,977495,-1,751162,12944,747264,-1,866566,413715,659173,278484,457242,455366,-1,697287,-1,335858,-1,732634,-1,-1,66813,237604,527789,713419,-1,-1,-1,-1,-1,-1,985702,260739,-1,-1,-1,-1,-1,641805,376901,-1,-1,-1,-1,251683,850291,-1,667712,-1,-1,372888,766207,503777,538169,919554,-1,981462,802570,-1,516747,181923,-1,409117,689771,-1,-1,680831,425048,-1,-1,419720,159271,34468,303764,31527,124200,-1,-1,-1,13893,702356,-1,-1,-1,-1,972749,941391,652777,-1,547562,362895,-1,-1,559864,-1,-1,135685,273881,878954,680615,314133,668375,-1,50181,341345,967071,-1,835920,603447,-1,8374,731613,242349,993075,-1,-1,140709,972019,213973,395654,656364,-1,-1,372701,797179,403463,963065,18631,647808,866004,853516,-1,-1,-1,833441,-1,-1,848076,495714,-1,911310,587502,910289,868985,679852,17132,-1,-1,279811,-1,956337,177981,-1,294101,859204,-1,614947,453551,839976,-1,-1,378951,-1,945031,-1,916829,-1,-1,-1,230853,639483,-1,284182,-1,84434,724122,104441,-1,-1,-1,-1,689347,-1,44575,785814,-1,609705,-1,184230,-1,857649,-1,370349,30651,-1,401278,234862,-1,932223,642326,-1,-1,194478,-1,-1,-1,-1,938666,808211,-1,950421,-1,-1,-1,-1,110403,-1,-1,-1,112631,-1,-1,-1,880824,-1,298010,-1,508302,903770,-1,447553,-1,3102,352368,758098,-1,563719,-1,88055,935961,802662,103182,433987,-1,-1,-1,174260,-1,-1,-1,274816,731926,563563,98723,-1,-1,681156,-1,287589,-1,-1,-1,-1,133519,484856,-1,795862,-1,-1,130405,121552,-1,39007,-1,-1,-1,387501,-1,-1,201314,-1,136292,-1,335472,157885,743960,493786,-1,-1,-1,-1,347887,956174,-1,-1,-1,-1,-1,-1,17749,-1,91340,278291,13839,-1,15794,-1,-1,-1,-1,-1,573634,-1,-1,223271,285811,158022,-1,-1,131346,-1,-1,766410,-1,-1,1308,409248,244718,913341,167775,-1,799578,-1,-1,374044,-1,-1,-1,460440,560259,-1,925245,-1,955546,540804,-1,-1,-1,336312,524855,231786,764738,76085,-1,-1,-1,395792,-1,366100,-1,-1,235220,-1,188154,-1,-1,944230,-1,-1,-1,-1,270793,-1,750416,-1,-1,-1,-1,-1,5727,-1,-1,711363,-1,937515,950211,881042,-1,-1,63295,86457,353745,-1,-1,-1,820953,-1,-1,897045,-1,-1,426278,-1,891525,989581,-1,128530,598084,-1,271103,617424,-1,-1,426653,-1,440325,600819,-1,-1,-1,371197,-1,-1,72889,962803,583915,249606,-1,-1,193496,640920,-1,-1,699076,-1,592328,258022,-1,-1,660977,-1,208319,361114,-1,-1,267648,-1,-1,679186,968679,-1,490485,995803,415987,854327,573163,-1,-1,837483,-1,594339,180902,481478,913050,-1,545274,-1,-1,-1,217400,-1,346261,-1,222137,-1,-1,-1,753540,432861,359491,48411,-1,16944,-1,-1,945234,-1,-1,334538,-1,569431,9903,282994,-1,-1,656953,-1,555321,-1,121608,-1,-1,-1,135202,161359,-1,299989,854835,240077,-1,449792,259692,-1,468434,407091,196972,41478,560859,711727,865360,-1,955284,598189,-1,363823,585501,-1,713009,-1,412312,-1,612941,145065,-1,843170,123012,-1,773534,-1,-1,871824,8446,-1,-1,-1,598386,151828,-1,647853,401197,-1,-1,-1,205807,-1,-1,-1,-1,821973,189416,-1,294729,-1,171146,763956,-1,-1,-1,-1,-1,779505,-1,-1,977652,-1,-1,-1,497720,-1,488597,354242,383927,-1,-1,538458,-1,919794,-1,-1,-1,790115,531390,-1,-1,372202,133178,861169,606482,975658,923314,471697,976746,154628,-1,-1,477302,485032,478596,-1,-1,-1,-1,211548,-1,239838,303142,732918,-1,-1,-1,275304,83516,-1,117845,-1,970373,310802,-1,532454,225560,990082,412686,-1,672581,851382,154114,-1,-1,-1,-1,841025,473323,795411,885516,659397,-1,-1,-1,237462,-1,216935,315497,490065,-1,970428,233307,565594,-1,587498,4409,-1,490412,-1,248664,-1,924083,-1,55522,-1,209831,70120,-1,-1,321158,296486,606598,101825,-1,738427,-1,-1,147921,628988,472214,-1,997100,-1,669910,-1,263319,208423,-1,898975,705922,-1,565498,-1,-1,-1,542066,-1,280388,369276,845456,-1,561648,958988,153224,842265,498935,117395,849398,-1,-1,-1,288759,196009,425692,-1,635045,-1,-1,-1,-1,-1,344242,389927,633034,-1,-1,188290,365355,134870,174758,-1,537796,-1,-1,-1,600336,-1,345236,148338,403912,-1,-1,169305,-1,-1,-1,-1,238796,879515,972394,-1,329158,-1,-1,-1,-1,631740,-1,-1,-1,-1,22900,-1,20520,-1,-1,395596,129599,42685,678704,-1,374164,976443,187067,-1,-1,417789,-1,891973,930278,-1,940023,406817,505255,19447,-1,-1,-1,996612,221427,916855,488359,879163,-1,-1,-1,-1,-1,457600,-1,-1,-1,-1,-1,737402,-1,-1,-1,-1,190781,-1,209352,-1,809401,-1,288250,613508,432046,301177,-1,-1,260066,661725,-1,-1,-1,506584,-1,322502,350192,-1,415135,-1,-1,-1,-1,304615,-1,493294,-1,-1,-1,-1,295906,891658,865373,652709,-1,-1,-1,222454,307504,618058,-1,576134,-1,360248,780230,491868,617433,-1,554137,-1,208929,-1,-1,-1,721045,785244,-1,269843,-1,921307,-1,-1,744767,-1,528870,-1,-1,37245,566695,-1,-1,674683,210683,125846,-1,-1,807158,-1,328559,-1,-1,527286,-1,495922,-1,501168,982169,-1,259449,-1,-1,-1,14826,-1,805103,288055,53606,452958,-1,113630,181226,272693,-1,-1,-1,362944,-1,-1,503286,-1,686950,-1,-1,133522,-1,-1,-1,-1,-1,-1,172826,-1,189541,679897,293985,207512,306265,-1,-1,-1,-1,-1,-1,-1,759783,207965,552775,142358,-1,204349,458643,-1,485489,881978,-1,726800,91999,977124,425160,-1,-1,997916,-1,-1,665215,201213,191238,-1,108876,263199,799509,-1,286987,-1,688270,-1,-1,32990,-1,-1,197803,-1,941615,306066,216771,494621,-1,23201,593455,-1,-1,-1,-1,-1,245914,-1,-1,-1,8989,-1,-1,-1,-1,688103,-1,415869,167076,-1,210655,660700,404511,-1,-1,96895,-1,-1,-1,-1,582716,-1,359482,574557,219131,-1,-1,-1,597991,95375,-1,-1,586749,-1,275674,874851,-1,423573,143338,-1,-1,-1,-1,817251,285641,443215,737383,682738,-1,-1,250218,-1,575610,210322,325529,64534,-1,-1,646973,121304,-1,-1,306815,-1,32921,-1,969135,757823,-1,-1,484180,501156,558737,531248,-1,868858,537248,-1,17106,-1,322664,824208,646054,-1,-1,-1,693039,769090,230657,751395,100136,134845,-1,-1,-1,836786,316246,-1,-1,-1,6721,605106,-1,-1,536249,912294,-1,-1,-1,-1,-1,734839,757506,229447,623176,-1,865122,355010,-1,-1,-1,-1,742631,-1,-1,349797,-1,624519,450315,239149,-1,-1,-1,389120,-1,676210,-1,865933,703726,136438,219771,-1,914201,856362,-1,-1,-1,188059,-1,-1,-1,242938,20449,-1,637334,857946,347806,926621,-1,269289,400700,478252,-1,85609,-1,633148,-1,-1,42443,602507,106920,375085,798413,-1,796472,934863,-1,83490,-1,-1,17873,-1,386447,112976,-1,-1,-1,-1,608653,579269,369124,-1,-1,-1,408555,606396,-1,182110,942596,580936,544699,-1,-1,-1,236010,410960,275842,556931,-1,-1,876286,-1,-1,-1,432645,866867,94948,-1,675884,-1,-1,-1,722766,-1,334353,863620,-1,404509,305916,223729,108515,-1,-1,-1,-1,586477,-1,630429,-1,889974,-1,860052,-1,-1,-1,290836,-1,595366,-1,502503,-1,274213,-1,-1,751327,-1,37886,949291,766229,-1,9702,446563,-1,210153,305486,-1,122340,-1,750843,-1,-1,-1,635685,176461,972903,-1,-1,-1,193796,-1,-1,-1,-1,-1,504262,-1,-1,-1,-1,316386,424666,215495,-1,767978,277991,-1,-1,550880,-1,622360,968433,462887,-1,-1,724017,-1,-1,-1,-1,-1,-1,-1,-1,33045,-1,-1,418574,-1,-1,-1,-1,-1,109347,151896,437266,-1,-1,-1,442599,-1,-1,-1,227497,772889,859201,-1,536853,-1,-1,-1,-1,219322,-1,-1,-1,590900,478616,-1,-1,137577,579680,-1,-1,-1,-1,-1,-1,-1,-1,-1,129719,-1,991961,636698,-1,374344,-1,-1,566770,39986,-1,-1,-1,859672,-1,489110,883168,-1,-1,-1,-1,657197,652780,409581,-1,-1,95782,502514,355911,-1,178948,-1,663309,291533,972693,440590,-1,89496,570782,-1,248910,316962,953832,-1,181686,-1,839532,395786,-1,473161,-1,622578,256937,-1,990902,-1,39534,465471,91164,-1,-1,-1,544558,-1,-1,729367,-1,-1,-1,-1,503588,544267,-1,319758,443537,230202,-1,-1,-1,-1,-1,45816,456652,-1,766080,-1,649747,713389,-1,-1,313595,681192,674163,86772,-1,-1,33735,-1,803148,-1,-1,-1,382825,262862,314601,305729,317979,-1,-1,925770,494144,980941,765122,90691,435820,293542,-1,-1,973511,-1,946628,68381,407419,427490,-1,-1,982238,490721,-1,-1,-1,569717,-1,-1,728211,-1,-1,602500,815748,-1,8054,856573,897898,804356,-1,-1,-1,-1,-1,-1,16716,-1,-1,-1,-1,-1,575317,-1,-1,235942,-1,-1,-1,975455,-1,12637,-1,728034,270234,961491,244971,205606,569584,997576,888779,987920,138596,144513,723837,979919,-1,217049,155090,816007,-1,-1,180167,713879,418287,-1,142787,-1,-1,-1,824,473144,262985,834376,-1,-1,17467,299401,-1,442570,707624,-1,-1,922540,490972,308403,-1,558146,-1,746295,-1,965639,-1,964286,-1,-1,637309,-1,337740,-1,800017,-1,-1,263003,940593,-1,-1,81268,448868,909729,423943,-1,139862,-1,308941,-1,284942,-1,311072,-1,-1,-1,140970,-1,772915,606188,-1,-1,-1,953924,-1,-1,872477,-1,725729,-1,-1,-1,-1,483397,-1,760108,624252,217866,-1,939259,526274,-1,-1,-1,191056,-1,255416,-1,615720,-1,-1,-1,-1,-1,861471,-1,194817,273140,-1,-1,-1,383397,582763,617473,686509,30488,479515,-1,-1,-1,-1,496228,-1,-1,-1,825018,-1,-1,416595,-1,-1,130626,-1,-1,667544,-1,-1,-1,26995,204721,-1,-1,807822,-1,240058,542025,911204,279635,-1,650827,-1,933879,886820,80433,358793,-1,-1,-1,-1,-1,608649,-1,-1,511497,-1,-1,-1,654867,-1,-1,-1,-1,-1,-1,-1,603684,-1,-1,382141,645052,-1,-1,-1,547375,816892,-1,-1,-1,-1,178321,-1,-1,-1,-1,380667,-1,191813,429570,611917,301110,-1,-1,-1,50681,281845,617758,918298,963271,107637,-1,685883,-1,621580,675851,-1,-1,155365,724518,-1,964859,-1,183164,-1,-1,-1,-1,-1,-1,-1,-1,247094,-1,-1,748809,371134,712299,229018,8756,745910,-1,-1,85860,477706,952065,-1,143160,-1,-1,374428,-1,-1,-1,566744,-1,-1,-1,547086,91155,-1,-1,-1,807490,-1,63136,-1,-1,-1,743788,-1,381660,-1,558092,-1,-1,575479,-1,21041,820735,-1,-1,-1,250828,758398,-1,803954,179491,241356,-1,600165,-1,-1,-1,681358,804038,-1,817051,197036,590444,864788,-1,-1,-1,-1,46993,837242,-1,-1,-1,-1,357484,-1,-1,-1,159023,-1,-1,196761,592944,-1,-1,-1,-1,-1,-1,-1,150845,975667,186296,914075,497161,549942,-1,-1,245140,696790,-1,134820,-1,782887,-1,-1,637736,172442,-1,71841,64413,817277,-1,-1,-1,-1,-1,771470,774809,147524,-1,-1,636603,-1,397094,728369,-1,-1,-1,69883,-1,192855,-1,-1,840689,-1,-1,647716,-1,-1,900979,249882,911637,195391,743311,-1,673884,-1,249866,162427,424081,-1,748261,-1,289484,101697,647228,272910,-1,439636,-1,-1,-1,-1,-1,264675,93773,120584,-1,-1,-1,566402,-1,-1,274844,-1,513474,555549,804316,-1,404242,-1,-1,820937,-1,829058,-1,-1,362166,-1,515480,-1,-1,-1,325973,714851,975078,-1,903895,314811,-1,-1,-1,-1,-1,-1,-1,-1,-1,814259,-1,-1,-1,-1,387047,-1,-1,-1,-1,718602,-1,41647,-1,-1,-1,429031,-1,362760,152111,-1,-1,585380,460373,156945,-1,555395,-1,-1,-1,-1,-1,-1,-1,558217,-1,-1,349637,-1,-1,-1,-1,-1,-1,-1,405846,839230,704383,-1,-1,494200,631611,712263,971862,232509,924357,-1,184889,-1,513433,187418,-1,-1,498806,93393,535947,783988,702419,-1,901119,558400,417934,-1,-1,664076,121021,-1,-1,-1,273592,641850,500637,178694,-1,708593,195126,-1,-1,280851,-1,-1,69973,-1,-1,-1,-1,750675,-1,268505,788958,908720,78505,527734,-1,251562,700252,230375,-1,-1,-1,276025,-1,-1,-1,83349,516154,-1,-1,-1,-1,-1,-1,-1,-1,310788,891774,-1,-1,187497,-1,-1,264073,-1,-1,-1,-1,-1,-1,-1,955407,268376,233447,531459,95965,690488,974873,-1,160962,-1,-1,586284,341815,-1,200801,801729,896050,994266,612477,318946,205733,289037,757568,-1,337618,829475,-1,-1,651229,-1,41713,-1,-1,664873,-1,228209,-1,845785,-1,272278,-1,8474,896474,-1,99413,-1,-1,983137,698211,-1,-1,-1,-1,351278,-1,-1,150215,25114,461311,-1,-1,-1,-1,-1,218362,866892,-1,-1,731749,-1,995859,581440,-1,-1,-1,-1,847073,-1,841427,-1,-1,519082,1909,823171,-1,523379,241917,-1,-1,940673,-1,417765,389064,-1,-1,-1,939480,889512,-1,399912,685827,-1,888337,39221,-1,-1,-1,163685,982362,-1,491216,-1,-1,-1,-1,-1,576365,644478,-1,-1,-1,838182,-1,963860,-1,-1,-1,57726,604105,-1,569052,594338,718246,130550,413468,-1,790305,-1,411972,725282,-1,-1,-1,365685,-1,-1,922644,-1,489553,-1,793308,248352,792307,652164,856092,-1,-1,429694,-1,-1,-1,261683,742393,211849,479538,-1,965643,614404,-1,524605,449387,-1,452359,-1,562626,763986,-1,839917,199910,360437,83852,-1,772484,-1,-1,840850,197229,-1,275998,-1,104570,561642,-1,572394,-1,484576,290201,387253,708559,-1,-1,-1,543871,430740,229148,455838,-1,-1,-1,-1,631683,-1,-1,-1,-1,-1,683470,481706,-1,-1,582992,263949,-1,1568,769478,-1,-1,37536,-1,-1,64982,958357,866585,-1,395170,196521,-1,-1,190518,823946,-1,890670,181610,-1,502686,345022,-1,346323,-1,177122,-1,-1,474889,-1,669229,-1,736899,43611,118966,388940,-1,970589,290176,-1,200166,-1,-1,-1,-1,-1,-1,-1,-1,-1,263390,-1,178475,105985,-1,-1,-1,-1,-1,-1,921112,155870,-1,190814,974385,-1,6592,-1,430251,386128,15464,-1,141051,-1,-1,-1,661422,481658,-1,-1,786200,-1,-1,606767,109902,-1,833472,-1,-1,-1,877434,38768,-1,-1,781235,151129,-1,506396,776648,-1,-1,-1,290604,-1,443672,400083,-1,504522,229677,631654,-1,-1,-1,575769,751334,928699,-1,797216,659151,-1,604435,-1,-1,-1,-1,476752,449998,616632,-1,-1,89137,604345,-1,-1,-1,-1,-1,559319,751360,-1,840572,-1,-1,-1,-1,-1,22797,-1,-1,545511,-1,-1,-1,-1,-1,346636,-1,504973,141891,122489,-1,115723,585425,-1,-1,982602,-1,258365,697638,-1,878296,-1,-1,799303,962900,503763,665578,166360,910719,-1,463594,397095,-1,773007,41593,813396,-1,-1,633419,-1,660317,-1,-1,847352,909667,-1,-1,-1,-1,-1,424583,955736,952620,-1,604359,-1,-1,-1,765187,-1,183521,723768,482006,518160,9354,-1,-1,-1,739196,-1,-1,-1,-1,-1,490977,474841,493047,406671,-1,358013,439115,12726,-1,300615,-1,-1,359665,-1,955072,-1,137865,-1,-1,-1,12223,658434,751229,-1,-1,412780,799789,386761,-1,230758,-1,505681,-1,867202,-1,-1,188001,-1,-1,819706,-1,317476,575748,440311,421473,-1,275809,-1,-1,-1,230727,586602,-1,-1,-1,860480,808928,964597,-1,-1,-1,582260,299195,383445,-1,-1,422971,235768,-1,74729,7347,-1,-1,-1,-1,847279,676379,997418,-1,130755,446410,959028,-1,488787,-1,-1,-1,-1,279169,902888,-1,302792,921487,-1,634335,415680,-1,96560,907071,-1,253455,911765,-1,-1,-1,-1,-1,-1,638376,-1,-1,397084,-1,-1,-1,671373,-1,-1,-1,-1,426513,429941,-1,569792,-1,-1,-1,-1,723918,771329,45817,903181,353865,117759,490170,-1,-1,-1,426932,308022,272854,759725,940535,-1,184304,313062,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,968919,721134,200524,343854,377478,253695,-1,-1,-1,228230,199618,135093,-1,499786,-1,-1,932926,247859,748016,924546,-1,426403,614027,-1,439793,325924,352526,915867,-1,-1,424614,926632,716227,13112,-1,465833,-1,413993,869924,-1,-1,547603,43692,572421,38863,889157,-1,90553,-1,-1,975130,-1,371989,-1,-1,569015,800,-1,-1,-1,-1,23224,-1,-1,-1,144074,891532,459766,-1,-1,-1,-1,121718,351335,-1,-1,-1,-1,-1,-1,-1,451631,-1,-1,185666,-1,867268,-1,-1,206007,792410,-1,275473,925892,-1,218974,931027,-1,-1,511140,770938,-1,-1,-1,574407,-1,229882,848666,-1,694469,406674,157970,-1,-1,11461,813134,-1,374856,-1,-1,74282,-1,753296,-1,-1,773466,-1,-1,542789,832690,-1,-1,493951,-1,-1,-1,81873,-1,798515,845962,178874,-1,145038,-1,-1,688453,-1,966450,245052,803314,486454,-1,-1,-1,-1,402312,217108,-1,-1,-1,-1,168934,-1,-1,607010,313340,-1,-1,424223,22950,-1,-1,823873,-1,-1,-1,756723,-1,292693,804266,531100,-1,-1,-1,552924,757238,545709,947835,-1,147057,663334,434451,935074,-1,-1,-1,774549,-1,334592,540911,709741,-1,-1,-1,831400,-1,127247,819045,770209,465566,354732,-1,728206,619713,82236,480612,-1,-1,626622,-1,563857,-1,841851,-1,-1,-1,957231,-1,168071,363193,-1,-1,-1,-1,-1,578118,918530,-1,554752,-1,-1,5328,-1,870343,-1,-1,374331,-1,-1,616350,44828,715494,-1,-1,592197,894781,42212,-1,-1,726450,687921,973269,243330,-1,-1,-1,-1,-1,714300,135038,-1,-1,534532,-1,51029,-1,968262,-1,-1,-1,71467,460582,649824,107260,403120,-1,441356,-1,-1,546298,-1,918557,172836,841469,-1,800578,837929,761593,-1,-1,-1,975194,99519,-1,771531,-1,-1,101623,-1,864771,132094,975509,-1,766240,-1,-1,505464,-1,385854,-1,-1,-1,-1,-1,742229,737893,575187,419393,-1,-1,782986,615518,-1,744435,942946,654104,-1,409867,670308,-1,321738,-1,882033,-1,-1,-1,576047,-1,637125,-1,506254,-1,-1,321383,-1,-1,-1,-1,752427,-1,-1,-1,598890,440269,-1,-1,726203,247492,914261,655920,-1,726797,-1,-1,285914,104203,-1,729069,668787,363639,-1,836510,-1,-1,49288,-1,-1,-1,823544,-1,208451,-1,780179,-1,403557,-1,687768,783035,-1,135738,914890,463032,-1,579132,975033,-1,140578,596623,518474,188165,-1,926860,618540,500194,-1,701053,265101,254440,451351,47477,-1,295473,-1,-1,105204,-1,-1,-1,-1,662655,433184,-1,844223,-1,452017,-1,529445,-1,-1,-1,742085,439223,118808,-1,322765,496313,-1,750319,881324,-1,-1,-1,449776,749875,911585,-1,-1,573784,-1,-1,81698,597968,-1,-1,-1,447749,473972,-1,291431,-1,-1,398516,145475,523298,932486,-1,-1,716428,273330,-1,-1,-1,-1,-1,770936,507824,-1,-1,-1,-1,-1,396707,-1,-1,171934,781835,-1,-1,195116,-1,-1,-1,470694,3618,-1,787403,244451,-1,468018,-1,-1,-1,582055,-1,534068,639353,998112,114905,-1,-1,113866,54998,898876,39090,-1,-1,478217,304537,417876,599937,-1,822892,-1,262733,684764,-1,-1,989679,-1,-1,990780,-1,-1,-1,833770,-1,-1,-1,-1,-1,-1,955435,64723,-1,-1,653808,-1,880178,88566,-1,-1,-1,17870,-1,647092,-1,966396,-1,-1,403731,242028,991567,-1,424553,218070,125377,198743,281899,-1,-1,-1,900173,530896,-1,331431,-1,164429,791647,511162,628522,-1,410615,7410,-1,915941,-1,-1,-1,-1,-1,-1,-1,-1,305618,811564,451027,-1,-1,-1,-1,-1,869425,111606,409816,-1,-1,-1,521398,-1,-1,-1,895132,-1,-1,-1,686046,-1,546025,752139,237324,996962,959653,-1,-1,-1,551075,-1,712471,-1,-1,388529,363425,380754,340686,-1,-1,-1,885150,24538,321095,-1,-1,-1,963502,650762,41527,-1,993019,377812,482754,623004,426874,195311,773568,-1,-1,-1,188274,178784,-1,-1,-1,952634,293349,-1,628070,-1,-1,-1,195566,745813,550408,827368,-1,860927,726901,-1,999670,462333,602270,903567,619510,149795,262727,-1,445021,-1,931795,-1,698345,118586,854580,-1,-1,112114,867938,-1,-1,-1,-1,-1,549690,-1,-1,-1,-1,392695,775032,-1,-1,-1,601719,250011,283305,-1,-1,988048,-1,717044,182018,-1,10168,552508,754964,-1,-1,-1,484354,183442,746892,-1,714259,982991,220246,858022,460376,-1,78032,86512,-1,-1,-1,-1,152578,-1,-1,-1,-1,309282,-1,491538,315697,152607,128988,183929,542491,399614,-1,-1,-1,682019,-1,-1,-1,-1,703262,-1,-1,990655,-1,376368,153544,293744,-1,553251,-1,414498,-1,993449,500121,880959,-1,-1,-1,316722,-1,-1,292653,285870,-1,-1,537261,699066,216241,639833,868822,771998,249623,-1,225542,549207,60956,-1,643196,906661,851260,-1,138111,-1,809997,83085,-1,-1,520094,539081,-1,-1,-1,-1,-1,362906,574113,-1,-1,-1,-1,-1,551829,-1,707654,749728,889987,-1,-1,328282,-1,-1,899122,268152,-1,737285,-1,-1,-1,-1,544556,-1,151659,452488,-1,692619,-1,823625,-1,536144,-1,440531,329243,85973,-1,-1,-1,-1,-1,-1,650081,873741,-1,616330,-1,804975,181430,-1,-1,596488,-1,15247,-1,948521,-1,-1,597955,-1,515596,-1,-1,-1,-1,107253,-1,619151,-1,961996,637581,5835,925140,-1,-1,419058,204256,267806,948974,-1,950186,194961,900626,390811,480790,133188,498512,467708,563310,-1,42457,777509,-1,708606,-1,-1,-1,900472,679773,439172,-1,-1,-1,416877,737885,164642,585648,694834,478126,-1,584226,3183,506384,-1,-1,-1,457695,298973,60320,29452,596670,697686,-1,-1,-1,872505,-1,735183,-1,951148,-1,-1,35530,664736,960101,-1,-1,-1,-1,-1,776695,378045,-1,741042,-1,-1,-1,968346,227634,-1,211439,772762,-1,505783,223700,-1,384061,671074,-1,-1,-1,-1,-1,-1,-1,-1,880433,-1,32147,-1,671228,-1,983035,461631,811860,17885,-1,-1,-1,-1,939580,52776,-1,-1,-1,-1,-1,-1,390550,-1,-1,-1,176409,-1,219678,630924,915073,945545,15995,187043,-1,765038,-1,-1,93144,652984,929292,-1,931882,-1,-1,-1,-1,185922,-1,-1,4294,-1,19061,-1,-1,-1,212876,175602,-1,-1,988823,-1,-1,-1,639021,199809,-1,-1,686401,643808,506795,879969,-1,582549,748335,33202,-1,-1,-1,847260,63795,58959,700106,-1,963418,232829,-1,400271,-1,638871,785855,-1,-1,178854,738262,932381,-1,-1,-1,453332,-1,394093,-1,-1,120996,594814,80840,288124,-1,-1,390759,731195,362367,-1,-1,402110,854984,-1,757463,-1,-1,381951,265412,-1,-1,-1,-1,-1,385704,253610,-1,-1,-1,-1,-1,675824,-1,549970,-1,748516,-1,-1,502730,77240,-1,826544,-1,-1,705280,-1,-1,-1,336611,-1,288174,-1,202973,715863,-1,691705,-1,518044,612668,-1,-1,-1,505537,163572,942627,-1,-1,-1,-1,822019,584764,-1,291856,477214,248673,506793,103802,798498,-1,681272,420143,-1,-1,-1,938457,-1,-1,-1,767859,-1,-1,434441,376018,623493,161994,221790,-1,-1,-1,816867,-1,41924,175546,472535,812720,382022,-1,665564,-1,-1,812027,134668,930019,-1,536491,-1,50473,-1,684701,-1,176158,97555,49032,-1,-1,458814,-1,596197,552610,759317,-1,588228,-1,-1,349647,-1,267549,191472,214676,-1,-1,-1,-1,-1,183016,493634,692257,333883,-1,858937,117898,-1,159815,709222,708340,-1,-1,166167,-1,685673,272741,190475,832704,902404,64496,-1,-1,880084,670531,30778,381414,737803,-1,928420,250750,-1,320831,382078,-1,-1,-1,-1,-1,349187,-1,391676,22583,551140,-1,-1,618312,829450,-1,-1,-1,-1,59243,-1,12031,-1,911339,294188,-1,543455,-1,-1,399393,31617,113039,962353,-1,-1,-1,746203,-1,-1,444222,-1,488654,135777,151406,98073,702785,935411,176160,635821,-1,976608,590520,210670,-1,-1,-1,424622,148699,-1,-1,736180,781340,-1,-1,226030,357689,-1,-1,296981,-1,481510,-1,-1,725507,-1,-1,885309,-1,655448,875203,747528,321865,-1,-1,388314,170351,159305,-1,922664,-1,-1,230666,772477,-1,-1,-1,-1,242053,268589,-1,303711,-1,-1,796592,-1,307035,-1,-1,-1,-1,368926,943621,735001,608466,786583,-1,-1,-1,-1,-1,-1,-1,-1,361363,-1,-1,699533,-1,61612,-1,-1,832587,21841,-1,587781,123462,-1,-1,-1,396284,-1,883299,-1,13918,-1,-1,130353,-1,-1,-1,218735,236213,-1,-1,-1,-1,838258,522166,46743,-1,622644,-1,688474,956258,-1,-1,884635,-1,924422,282873,-1,503597,-1,-1,-1,-1,-1,365349,276491,-1,65889,781157,322017,-1,-1,-1,299537,-1,957279,-1,110922,-1,-1,12729,-1,-1,-1,-1,899523,194208,-1,-1,91530,-1,-1,392959,571887,-1,-1,-1,38819,-1,473037,930221,306005,-1,-1,-1,384788,202045,701925,-1,-1,566836,34943,403686,528706,508300,400912,-1,-1,-1,-1,434483,442400,-1,973202,-1,589909,-1,-1,488723,774077,-1,769576,205665,-1,-1,-1,-1,128059,-1,-1,-1,497707,308078,440591,-1,644277,570113,-1,662326,569073,652526,-1,-1,781359,-1,-1,778332,131976,-1,-1,440719,475350,-1,-1,-1,-1,826371,-1,-1,198238,14783,-1,800317,-1,-1,-1,547794,-1,-1,-1,-1,166801,115676,727382,474310,-1,-1,-1,-1,898502,470887,538814,-1,-1,427190,-1,525422,-1,230950,667904,-1,-1,-1,-1,358799,615824,-1,243400,184547,-1,-1,421697,-1,998811,-1,-1,297363,439617,-1,-1,-1,103612,-1,-1,692831,284117,-1,-1,716081,-1,-1,-1,125271,354801,58787,764196,-1,866605,-1,-1,627432,964500,-1,105363,-1,-1,247883,-1,2452,-1,625042,-1,-1,588477,222430,671174,-1,-1,393177,-1,-1,-1,201714,684853,-1,-1,-1,858656,-1,859596,-1,-1,-1,-1,869693,479792,430546,-1,119486,177208,918807,674541,-1,422495,-1,-1,-1,-1,929421,-1,-1,640911,980952,370839,-1,-1,-1,-1,-1,864536,-1,258276,65003,291245,-1,-1,-1,-1,-1,561615,467244,-1,-1,515945,589091,826300,548801,-1,739700,-1,725031,-1,482086,588284,429834,-1,171774,-1,502668,640124,5579,-1,493311,390740,330749,471391,571901,478629,87679,766442,527091,-1,860216,-1,130319,752571,-1,970656,355416,-1,19533,571907,86899,-1,-1,-1,53645,-1,115137,-1,954095,695281,973196,-1,-1,-1,-1,-1,-1,-1,-1,263487,244774,-1,-1,952523,-1,-1,-1,950394,122598,695061,738860,-1,-1,-1,38422,798519,495602,642234,-1,712892,468455,-1,-1,918288,-1,-1,459336,815189,608664,75868,513606,844592,-1,-1,-1,-1,-1,-1,-1,847888,967376,-1,399929,-1,-1,277055,-1,360593,-1,-1,291136,-1,-1,241598,537310,735722,-1,-1,664127,403826,-1,923182,747821,648401,543576,-1,-1,56564,675052,480583,-1,131949,166800,473860,-1,135735,806329,920016,-1,-1,-1,-1,717871,-1,-1,157950,958788,-1,779172,767320,181777,953676,-1,417742,-1,-1,691761,688950,879466,-1,560815,-1,-1,-1,-1,-1,122473,547503,550437,-1,682791,48830,565858,-1,595563,673307,764841,637566,-1,-1,-1,376559,655205,-1,471810,132658,549727,105404,534643,-1,-1,-1,-1,-1,466780,-1,509096,-1,394116,904041,-1,480424,512925,648641,-1,719403,-1,-1,354044,732983,-1,356840,-1,600810,-1,-1,-1,513108,644175,-1,-1,-1,-1,880588,460707,911083,-1,-1,-1,983582,-1,-1,713421,-1,-1,897943,-1,457009,297442,789424,997363,725127,-1,919537,-1,-1,-1,-1,170886,-1,-1,-1,170464,-1,109571,100906,-1,134450,-1,207947,794153,-1,369357,551940,131350,999834,139308,743972,612547,-1,-1,734140,-1,336159,-1,543896,-1,132179,-1,-1,976532,439462,-1,-1,202566,362722,492577,231776,865829,-1,-1,764784,954260,-1,-1,-1,-1,881643,841572,-1,432769,849262,199572,811161,-1,182161,-1,134520,111858,916080,16348,813799,-1,-1,-1,-1,964940,495764,-1,-1,-1,997831,-1,-1,608509,468962,510044,-1,-1,870571,880071,124722,-1,-1,922454,-1,-1,-1,-1,720580,-1,-1,476218,-1,939494,-1,607140,-1,525105,824792,893966,856792,-1,770724,173654,296034,-1,-1,-1,211536,911340,-1,-1,144340,181040,-1,233278,730606,872237,-1,-1,-1,-1,372542,-1,-1,-1,14432,303295,-1,-1,-1,572832,-1,828181,-1,-1,-1,124393,946094,305537,-1,897336,540222,-1,501420,39395,78619,-1,-1,570500,693592,-1,-1,383699,793959,-1,-1,-1,-1,727002,593056,546393,674531,352677,776303,694304,-1,-1,838086,-1,-1,84686,557073,382019,125037,-1,-1,587426,563184,-1,-1,80438,536424,735157,299043,-1,-1,364890,-1,-1,254719,808972,297936,-1,655901,-1,-1,-1,530443,-1,121925,-1,631166,418795,-1,635170,534745,-1,336750,-1,145557,399176,-1,-1,988171,-1,-1,-1,-1,-1,325197,281378,-1,284082,77034,397584,656635,-1,792004,-1,-1,441965,943447,-1,-1,-1,-1,-1,487994,-1,371346,10508,943124,-1,-1,603342,-1,-1,-1,924388,-1,398452,-1,623072,61115,-1,-1,914791,-1,-1,819202,215331,-1,-1,933803,-1,371007,65359,900292,-1,406937,965608,-1,419524,-1,-1,-1,191943,-1,786996,-1,-1,-1,-1,636447,185805,-1,-1,110572,127374,-1,849591,-1,-1,-1,-1,-1,-1,-1,-1,881103,945604,-1,871958,-1,-1,-1,655295,-1,-1,-1,908612,849095,-1,-1,577185,-1,218815,-1,-1,-1,-1,-1,149467,74386,-1,681125,341847,710143,-1,604034,-1,-1,-1,987380,-1,834336,-1,484883,279618,853132,-1,246050,840067,433692,687877,-1,-1,-1,-1,-1,729414,-1,-1,953919,280791,-1,-1,168893,3303,-1,-1,-1,-1,494863,-1,-1,448565,-1,-1,119275,-1,-1,-1,674529,-1,-1,-1,768771,-1,-1,252115,770128,-1,417130,-1,-1,149073,-1,-1,53852,-1,546419,134937,-1,-1,-1,-1,158892,963218,281290,70064,-1,-1,151393,488424,-1,519547,-1,925035,664744,-1,-1,184692,352400,-1,409090,780033,990733,91019,-1,215979,674100,636602,-1,-1,722153,-1,499644,464073,208258,-1,-1,442854,677492,183265,453070,-1,-1,-1,434703,-1,767037,-1,753083,679245,-1,384004,816704,-1,384971,700045,195344,676507,-1,-1,988949,-1,-1,-1,-1,-1,-1,933204,76388,-1,339904,-1,675690,185753,-1,-1,712166,-1,-1,-1,-1,652159,214242,-1,331247,-1,-1,699378,-1,779680,-1,78920,-1,-1,997985,-1,275719,-1,-1,-1,-1,-1,-1,441850,622984,949255,167965,104827,-1,-1,712308,-1,-1,156395,740503,-1,285301,-1,-1,984299,745414,214594,608573,-1,198332,133879,610845,-1,-1,-1,-1,-1,-1,800534,391925,-1,-1,-1,39480,-1,-1,509997,643137,-1,981896,-1,-1,482301,-1,904620,-1,-1,-1,135280,528311,605115,-1,304172,-1,-1,-1,983138,-1,-1,-1,872906,465779,-1,-1,947210,261047,757414,-1,-1,413361,411761,931350,-1,-1,-1,-1,-1,-1,716209,550049,425234,-1,319327,-1,301326,77689,-1,678470,181994,982303,525214,395361,277448,-1,-1,986387,939253,-1,-1,-1,-1,28145,190040,126026,951974,177478,-1,236752,-1,597737,560003,994671,-1,211226,-1,-1,272129,-1,-1,643085,-1,-1,847640,-1,-1,803835,-1,950752,782365,-1,951806,805551,224893,746899,-1,-1,-1,723333,-1,-1,-1,864874,-1,-1,-1,18917,715104,545039,-1,199587,-1,968085,-1,678179,-1,374356,582221,572361,347005,69168,-1,976184,447694,-1,112936,-1,-1,-1,-1,968380,-1,-1,-1,285817,143164,484329,-1,376420,-1,-1,-1,149569,646816,-1,204589,507311,185970,5481,112330,444263,969370,264130,582327,148797,-1,284168,-1,-1,971539,-1,-1,-1,-1,192139,-1,403813,-1,200522,180607,-1,136095,-1,913233,662270,-1,-1,-1,834861,906179,-1,-1,-1,-1,-1,-1,-1,-1,407234,-1,907005,-1,324542,467047,-1,433650,623298,-1,816612,-1,-1,487687,233543,-1,-1,-1,-1,-1,824085,174987,-1,192983,102672,-1,-1,-1,629492,90731,-1,207822,-1,-1,47281,-1,-1,682480,613589,-1,-1,-1,-1,299426,12989,34314,215634,965652,273683,-1,5661,-1,-1,616812,-1,771629,-1,71523,-1,-1,-1,842112,-1,71200,401275,-1,705693,-1,983717,-1,-1,413497,87950,-1,-1,852633,231046,250019,201141,-1,19257,511145,-1,740581,-1,-1,-1,511968,235202,-1,-1,-1,-1,-1,183432,185407,687638,-1,977556,-1,-1,-1,194497,108651,119619,-1,679192,409851,-1,913988,-1,991138,542740,302016,533010,-1,-1,441537,674568,-1,248979,824812,574341,351298,-1,-1,-1,591042,356282,-1,-1,-1,-1,-1,-1,-1,969717,-1,972590,489290,70512,243451,837769,564071,957520,498596,-1,-1,948851,70722,810713,821753,-1,209088,-1,871477,-1,71427,152008,-1,-1,47401,486592,-1,868037,-1,317838,-1,-1,-1,-1,713980,-1,-1,466979,83014,-1,157928,-1,260702,-1,-1,-1,-1,154580,337187,290221,-1,280828,-1,-1,92985,-1,-1,-1,298647,-1,799078,-1,200355,-1,-1,-1,488114,-1,-1,-1,424342,-1,4083,37843,550264,424478,-1,-1,-1,-1,440784,-1,533233,491783,-1,994674,779254,941046,258031,-1,-1,-1,373682,849346,763800,-1,-1,-1,-1,55948,-1,-1,722194,987032,625527,811099,905323,311079,525361,-1,-1,-1,476919,-1,381822,837950,-1,-1,541930,-1,383262,556517,-1,-1,894622,-1,-1,-1,-1,-1,635288,549441,-1,625144,39680,402390,-1,-1,240530,133094,-1,8113,-1,549173,-1,-1,542814,-1,143875,-1,-1,901567,-1,-1,-1,862899,-1,-1,-1,748496,-1,919314,-1,259613,301404,-1,-1,-1,-1,-1,87304,522605,480124,371547,-1,445175,246516,520392,-1,-1,-1,-1,-1,-1,-1,264854,-1,-1,632832,-1,-1,723588,630420,-1,-1,845038,-1,-1,32548,-1,93904,2774,785697,574854,-1,750908,-1,767528,865074,427445,-1,-1,-1,918786,-1,-1,522508,679787,-1,805045,-1,512643,269129,-1,288831,947447,239809,-1,80628,269711,-1,421969,-1,816285,-1,-1,37529,145404,-1,204998,561809,577941,-1,41612,-1,-1,456548,219718,807849,-1,-1,-1,343674,328544,156285,-1,480757,543855,-1,447463,-1,107884,359919,-1,465406,-1,683727,-1,539293,-1,-1,-1,-1,-1,373460,572582,718566,468763,-1,931982,467206,-1,-1,-1,3722,742511,-1,716521,904974,976249,345548,-1,388777,430059,-1,-1,183479,546475,-1,-1,-1,802671,-1,412355,193009,302669,-1,-1,550385,-1,-1,-1,-1,988327,-1,615346,-1,-1,-1,473934,551521,-1,380693,-1,-1,420300,-1,684090,723443,316672,460437,-1,701481,459422,738700,71072,885566,771466,-1,-1,697442,-1,-1,775306,469309,-1,-1,-1,664383,-1,-1,-1,-1,877799,549038,-1,-1,-1,695397,-1,662848,151324,-1,-1,175268,-1,554761,-1,184436,-1,-1,-1,-1,804204,251085,472403,-1,953117,-1,-1,-1,646025,-1,839588,-1,-1,495263,-1,625539,-1,561519,768918,-1,-1,925731,-1,667639,-1,-1,928304,-1,426525,311930,549769,-1,715125,-1,-1,-1,-1,669284,-1,-1,-1,744815,-1,-1,-1,576958,-1,-1,-1,-1,793921,-1,-1,565078,-1,3242,-1,-1,-1,971852,147935,-1,110889,-1,392208,718918,-1,665908,387476,-1,-1,-1,944168,-1,-1,681290,34996,-1,702634,255371,921871,-1,465386,-1,116843,488047,-1,689972,-1,-1,-1,694388,639662,425986,-1,-1,-1,249926,537106,-1,-1,-1,366441,504349,-1,250841,665756,640932,719929,-1,756407,-1,-1,767489,-1,536139,-1,-1,-1,-1,-1,784857,-1,716894,722856,192528,-1,544475,-1,-1,-1,-1,285108,937129,777043,768270,-1,-1,933696,251871,-1,-1,-1,963992,-1,678786,425266,183753,-1,295633,831155,513091,567112,557532,-1,-1,-1,-1,673998,295753,-1,-1,586454,203197,925175,983027,910670,697158,275696,304684,-1,784126,-1,933547,-1,-1,-1,-1,730834,936393,-1,321085,-1,-1,-1,-1,902262,-1,-1,-1,-1,-1,34318,779407,93720,-1,-1,-1,-1,-1,-1,986675,-1,-1,-1,-1,-1,742658,-1,48573,837391,-1,-1,963563,-1,117034,-1,538249,-1,-1,-1,-1,-1,111727,-1,-1,828869,193174,920540,-1,509878,25542,-1,-1,567305,436356,214117,28549,390678,688322,-1,-1,-1,-1,244489,375956,-1,304509,763191,269799,-1,821647,-1,-1,651139,970451,223128,-1,681189,-1,-1,301762,-1,-1,190500,-1,902071,497018,-1,476380,-1,-1,-1,270943,73842,296145,961599,-1,-1,225792,286695,-1,-1,758156,847173,-1,-1,114706,956816,-1,897524,-1,-1,-1,58913,-1,774859,164066,514105,756666,-1,-1,-1,354456,-1,-1,232965,960170,-1,219346,169856,-1,-1,376220,-1,-1,-1,-1,68590,300695,962329,-1,-1,20302,-1,-1,-1,-1,427742,-1,624522,-1,79848,295036,-1,-1,87720,-1,-1,257351,-1,-1,-1,-1,431970,451950,895800,109372,-1,749267,15576,-1,863902,-1,94047,-1,-1,143051,-1,-1,-1,-1,-1,-1,-1,506114,687551,350522,335859,-1,537739,102928,-1,-1,-1,-1,445916,749861,684049,-1,-1,41368,-1,-1,688556,-1,-1,3124,-1,-1,625387,-1,710578,-1,639524,-1,732363,843791,-1,-1,-1,958058,-1,-1,553623,113903,775869,-1,711051,-1,177543,441398,732155,355336,-1,896707,-1,-1,297656,632315,-1,-1,-1,-1,466272,893211,-1,-1,-1,132101,9946,692550,987388,-1,746487,-1,-1,299072,-1,-1,469110,-1,-1,-1,-1,577921,-1,4344,872710,57195,466285,345532,-1,73398,890189,-1,-1,259463,-1,323513,-1,-1,582082,458563,-1,-1,570804,98868,-1,253660,747279,483582,425878,-1,806281,-1,-1,-1,-1,-1,-1,996790,-1,-1,-1,958863,-1,321332,647720,620052,153526,36321,-1,-1,-1,809003,678105,326635,754902,-1,-1,92643,476672,-1,-1,156257,-1,627998,833735,566751,-1,-1,-1,830146,-1,-1,-1,673955,62068,-1,-1,517886,751364,611924,552040,-1,27504,-1,793307,487363,-1,433980,42928,-1,-1,-1,-1,671483,-1,-1,174838,633581,-1,773600,-1,-1,-1,248067,-1,-1,749250,-1,-1,650862,517538,381938,270089,192962,437504,-1,783288,-1,603156,-1,-1,-1,-1,-1,-1,231884,-1,694268,79445,-1,267875,-1,296588,258295,-1,75303,458304,-1,-1,523978,350883,206319,-1,538720,565956,482661,490443,-1,-1,-1,791055,574148,835184,686934,-1,-1,-1,883351,593381,535989,879446,-1,-1,790504,-1,-1,683459,-1,434473,285354,-1,-1,-1,-1,-1,350393,-1,-1,566393,175450,-1,-1,795069,-1,605218,-1,-1,-1,42747,-1,243346,-1,-1,-1,715396,875036,-1,-1,183738,-1,627443,812883,-1,-1,-1,833320,-1,349138,-1,-1,-1,9203,721222,-1,593618,533070,-1,-1,-1,623624,-1,200295,863116,-1,-1,30394,-1,-1,587058,472397,-1,-1,-1,-1,584459,434564,56126,-1,-1,288480,-1,-1,769446,-1,-1,680749,-1,-1,767847,-1,-1,-1,-1,-1,-1,265740,-1,220908,75517,-1,712689,-1,-1,-1,134821,-1,-1,-1,-1,-1,398878,394632,-1,704505,271887,-1,198181,-1,-1,-1,-1,-1,892492,-1,206164,967507,-1,665412,959230,-1,-1,-1,124473,-1,361031,171234,514261,761856,-1,-1,320760,-1,690180,391078,37370,-1,666489,864439,330234,-1,716323,-1,783066,824247,-1,-1,-1,-1,845765,-1,174610,733881,-1,-1,280112,819093,-1,-1,-1,351750,-1,762444,-1,-1,-1,746511,-1,677365,-1,76351,-1,-1,648242,-1,270388,-1,41519,28075,5221,407576,226596,-1,256624,197415,430391,-1,-1,-1,360545,-1,216626,-1,-1,251137,124014,-1,572855,904847,168132,925785,599054,-1,-1,160324,339390,-1,-1,-1,-1,207041,289184,-1,340283,253579,-1,997989,-1,371172,-1,-1,-1,883557,999224,-1,-1,-1,324875,403918,757639,454457,-1,824530,737539,-1,506117,176349,26542,600972,-1,-1,917693,-1,-1,-1,686863,736440,-1,136752,-1,-1,-1,-1,810125,-1,-1,805191,447214,-1,-1,85586,638948,-1,909855,907853,572160,-1,-1,-1,-1,-1,967888,637726,-1,-1,309336,-1,-1,155362,549447,862140,149753,883252,-1,-1,-1,269850,-1,-1,-1,-1,-1,-1,-1,635542,-1,-1,637858,-1,-1,821078,908579,235487,615070,768759,-1,-1,-1,257698,49890,-1,-1,-1,-1,-1,-1,611673,-1,-1,-1,-1,931372,-1,-1,12058,-1,-1,-1,-1,-1,335250,169969,530093,-1,-1,-1,796541,205194,191127,-1,734295,514495,991915,-1,160428,-1,-1,109465,662872,-1,-1,-1,242528,515757,747356,-1,827527,-1,-1,693969,-1,226168,-1,-1,-1,170685,-1,693328,90655,937482,837565,-1,-1,404229,-1,-1,105414,77306,-1,909193,372456,-1,-1,-1,-1,-1,814959,532344,444091,506444,-1,-1,-1,719919,-1,-1,2638,-1,802926,818549,347084,579004,-1,-1,151709,-1,-1,-1,929596,-1,-1,-1,-1,174571,-1,961808,486273,254312,803431,233931,630824,424349,745118,860767,666992,-1,-1,858236,726463,-1,-1,877414,-1,467173,191355,958098,-1,908338,-1,495699,-1,-1,-1,656323,796021,716259,867429,26339,-1,433603,715146,59110,468050,992884,-1,-1,759522,560889,-1,-1,683524,-1,-1,572256,581339,-1,882699,141576,327537,-1,-1,372883,-1,611993,-1,40771,373307,919115,582454,414183,-1,974017,613467,432399,207761,-1,-1,-1,-1,-1,-1,113692,-1,543416,587690,-1,413885,-1,924855,416111,-1,-1,-1,702685,-1,-1,853117,-1,-1,524745,-1,-1,305641,-1,-1,657042,-1,-1,-1,685704,97347,-1,111701,-1,-1,305025,-1,-1,-1,259652,-1,935822,-1,-1,908232,932986,-1,656516,-1,-1,176004,-1,556519,-1,28147,379856,-1,-1,-1,791820,687485,-1,307044,839100,970759,570630,-1,728926,-1,-1,544773,-1,-1,-1,-1,-1,919481,934348,719676,456817,690922,491382,878190,665090,461325,795762,944301,11311,-1,631269,312449,680380,424563,805077,-1,82494,-1,-1,-1,689153,875238,801422,768242,183797,676413,-1,551733,-1,482282,617661,-1,996525,-1,-1,-1,508320,437444,-1,50966,890381,101408,198627,969709,67625,273960,459768,-1,-1,222633,-1,-1,965907,-1,-1,-1,35706,740166,-1,-1,30774,-1,449226,-1,282608,557526,-1,114690,-1,865024,817387,-1,-1,-1,978190,406631,90833,-1,673127,-1,-1,912320,-1,528708,454169,91312,795637,268954,-1,844979,-1,381723,-1,-1,574466,-1,-1,-1,21001,-1,-1,512004,-1,272246,246934,283002,-1,-1,-1,770490,189892,-1,-1,-1,34738,-1,719697,952427,54546,370356,325580,116069,931523,910822,-1,217882,160287,-1,-1,-1,-1,162625,712078,520968,100274,995097,-1,-1,-1,-1,49679,-1,776015,747193,208380,422797,614917,489626,745800,491512,-1,851144,-1,872969,993500,593142,-1,-1,-1,201647,686068,81246,69200,78686,-1,-1,-1,-1,885188,23719,-1,112784,708508,888984,-1,100019,298726,861064,50381,312039,143667,585161,157513,-1,595759,-1,779674,871782,-1,-1,187453,-1,664364,141310,-1,568128,371498,-1,-1,-1,426338,-1,-1,740706,481603,510259,-1,214256,238441,440172,-1,-1,807610,641217,-1,228064,-1,-1,836596,170369,-1,-1,334436,-1,841076,812733,584072,-1,-1,514305,-1,-1,-1,-1,-1,-1,-1,514974,-1,-1,-1,-1,265007,-1,-1,746983,202231,-1,-1,540434,304271,-1,-1,513321,-1,-1,-1,-1,-1,150469,424999,569206,331551,693963,793049,-1,321311,843317,-1,-1,206614,-1,542811,192366,345027,359617,17232,-1,75967,-1,221707,801771,713386,-1,903510,617219,-1,989511,-1,-1,-1,815157,313744,945056,-1,256914,-1,672894,-1,392042,-1,-1,994645,508378,-1,606648,-1,523919,48363,-1,928544,-1,-1,-1,-1,-1,557297,-1,-1,736287,280852,465416,453162,-1,563774,-1,274254,-1,-1,-1,-1,-1,544776,768573,-1,-1,-1,399747,931575,545911,-1,176477,621399,-1,-1,383302,232688,148058,784043,380969,419114,218802,279917,385591,71906,-1,200353,-1,-1,723732,-1,654265,722258,284844,979426,-1,-1,-1,-1,-1,-1,498334,-1,-1,395236,-1,426179,467784,953729,632551,-1,494026,634195,-1,-1,-1,-1,-1,-1,539042,-1,971340,-1,-1,540480,522713,-1,678885,695725,-1,-1,646894,-1,985113,52720,-1,-1,342369,-1,-1,384781,489238,-1,-1,657757,123064,-1,-1,-1,-1,273128,-1,-1,776456,-1,-1,-1,-1,326276,227797,-1,-1,679345,95862,-1,-1,269619,-1,-1,600084,809226,80776,-1,-1,830671,-1,96351,550275,531303,-1,-1,-1,-1,-1,194457,-1,-1,488575,-1,68316,-1,-1,445406,505436,358241,-1,555040,391772,226294,655866,-1,-1,798533,134382,271513,43962,-1,399296,-1,330902,912634,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,368230,-1,-1,-1,-1,108589,-1,258343,-1,138238,127097,-1,-1,-1,542952,-1,-1,-1,-1,-1,-1,-1,-1,-1,433620,894799,344826,-1,-1,119339,6582,553368,-1,941072,38634,-1,-1,586805,748641,-1,527509,-1,-1,37837,815047,-1,-1,-1,-1,-1,-1,127908,994392,-1,627552,-1,-1,60425,-1,759489,623882,994815,532545,-1,-1,240630,-1,-1,-1,-1,-1,-1,-1,-1,-1,855549,-1,-1,-1,541885,-1,869284,155875,-1,-1,-1,-1,813269,-1,767131,480562,-1,-1,-1,-1,487149,-1,458216,-1,-1,6201,-1,-1,-1,829896,-1,-1,250047,147638,444552,-1,353245,-1,301028,831823,-1,51432,-1,-1,-1,-1,133011,412144,-1,739877,765085,-1,-1,-1,86214,682129,-1,-1,1198,-1,-1,638300,534901,802466,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,375305,-1,205156,-1,480401,491310,343631,399223,-1,381121,-1,-1,-1,242350,985346,223743,578295,-1,155711,431089,200566,464526,569630,180383,-1,732160,-1,-1,784863,628735,163744,53492,333886,198206,689916,-1,381576,206766,397067,831721,591899,-1,730048,-1,40428,-1,692118,-1,-1,-1,722231,-1,969247,715062,-1,-1,-1,-1,145453,877759,-1,-1,679122,214789,-1,-1,266262,-1,-1,-1,837930,-1,58316,-1,-1,244991,691007,251436,-1,943044,-1,490760,326752,-1,-1,283842,716670,-1,-1,-1,157021,122687,-1,544670,877308,-1,-1,124123,-1,-1,914969,-1,-1,134105,542613,5292,996486,206029,333212,-1,-1,501564,-1,-1,-1,-1,774436,-1,560341,-1,-1,62284,941858,-1,-1,894401,312241,300256,-1,800772,314969,862261,355728,206188,477143,917399,-1,427662,-1,139123,-1,-1,-1,-1,-1,755146,-1,-1,169405,282829,-1,136648,817052,765822,-1,726131,-1,792618,-1,-1,57353,980818,-1,374177,-1,-1,920590,729664,-1,-1,-1,526050,849355,596662,-1,-1,675503,572890,-1,402395,-1,-1,-1,682692,-1,647908,729975,-1,645936,-1,363008,-1,-1,481142,922169,714654,-1,300058,539984,-1,-1,-1,-1,631578,329072,-1,499920,-1,489802,-1,842974,975445,806808,296482,-1,-1,-1,227506,323117,-1,447945,17671,610732,-1,724243,961390,801542,-1,-1,-1,-1,346169,-1,782850,303700,-1,-1,295914,380086,-1,-1,-1,-1,-1,-1,-1,-1,506213,9979,-1,-1,-1,-1,-1,530824,-1,256220,594815,-1,742099,-1,41597,-1,999376,650097,430848,222312,276990,720127,459774,-1,-1,366983,636303,-1,-1,577438,328574,-1,-1,-1,602949,596077,-1,384569,-1,-1,278054,314861,-1,86378,-1,-1,629656,-1,-1,-1,639562,922837,570827,230027,-1,-1,324797,-1,-1,-1,913678,811794,-1,-1,-1,830016,-1,112748,773416,66242,243339,540556,-1,557985,713141,813427,-1,-1,-1,-1,990944,-1,-1,-1,254180,-1,-1,-1,822991,917764,815395,-1,664456,-1,436312,-1,614161,-1,-1,172404,145365,741064,581854,529513,-1,775892,-1,767922,762029,-1,431946,135723,233642,-1,-1,-1,-1,-1,-1,-1,571194,-1,-1,-1,591049,-1,-1,-1,-1,-1,268436,313176,-1,978124,-1,-1,-1,271134,-1,896069,520483,200637,-1,51849,-1,-1,550381,490426,722586,-1,594195,-1,-1,-1,-1,-1,-1,-1,-1,871890,-1,320912,-1,331198,12187,-1,693296,-1,-1,433392,846985,-1,331474,-1,-1,345005,-1,304269,379263,-1,928174,-1,-1,414196,105555,797439,-1,-1,826177,707887,695306,150395,-1,26205,-1,-1,-1,375517,270448,868076,813835,552930,382114,-1,821849,111591,-1,-1,-1,-1,-1,-1,-1,879281,102878,-1,-1,-1,898729,-1,-1,619028,-1,918062,-1,-1,-1,-1,163186,-1,386843,345716,-1,550155,113904,-1,-1,357805,-1,-1,919553,-1,158124,-1,-1,499051,510820,-1,-1,37274,92951,-1,-1,-1,470540,822605,34903,512183,-1,-1,-1,780083,-1,721308,-1,-1,-1,249003,86729,262466,-1,-1,600350,569078,36633,-1,515074,545252,421499,940520,273725,467178,903884,-1,-1,-1,-1,894824,61048,653467,122394,-1,201639,702002,883808,679653,-1,329653,17562,882083,197116,-1,-1,-1,-1,-1,575738,-1,709820,-1,-1,-1,-1,195704,-1,-1,-1,387690,-1,-1,-1,176212,-1,-1,910179,-1,-1,849689,-1,-1,771699,-1,-1,-1,7718,985116,820968,239775,504834,-1,-1,-1,-1,-1,-1,-1,227955,-1,-1,824179,682348,650135,486773,778223,983758,-1,361683,-1,990870,133796,780826,203307,-1,-1,-1,-1,-1,838430,80130,962835,990581,164708,-1,-1,-1,-1,-1,656866,-1,256017,-1,-1,699369,768612,-1,825997,451751,-1,-1,427772,-1,-1,517790,913719,872948,108739,-1,-1,208269,426396,-1,899000,918120,-1,-1,-1,-1,65131,-1,114702,-1,410108,-1,-1,-1,870425,-1,328161,-1,711419,-1,32117,-1,592332,-1,-1,-1,-1,985772,526986,-1,-1,-1,966260,509613,-1,-1,920918,-1,827820,-1,-1,503826,-1,-1,-1,166114,-1,-1,-1,918646,-1,-1,233356,885200,-1,-1,564856,603667,303560,127753,-1,-1,-1,365447,771739,-1,199299,-1,703560,-1,843318,460439,45706,467069,-1,951981,460602,284402,435169,555595,-1,-1,-1,769015,-1,601728,484152,411063,636210,766134,924663,-1,-1,-1,108890,497149,219492,-1,-1,192179,-1,479120,51902,268418,659586,234756,-1,524039,179578,711471,211729,-1,131958,86657,-1,-1,-1,-1,-1,148234,-1,-1,487360,516301,-1,960315,865558,406848,-1,-1,299194,119939,335463,-1,739725,855908,-1,209687,-1,-1,-1,-1,-1,-1,23537,-1,289350,-1,580071,-1,29113,-1,963910,954125,-1,-1,730073,718772,235466,-1,332648,121457,-1,994403,-1,994621,249277,770987,482531,415794,901748,-1,458530,-1,-1,-1,983740,-1,-1,98430,524860,547912,596211,150516,482423,677961,417475,-1,-1,830387,-1,-1,-1,-1,13862,236545,10117,739773,-1,63076,797706,612476,891613,-1,140102,-1,-1,143255,-1,-1,-1,-1,25279,-1,-1,-1,-1,-1,329340,-1,-1,-1,836780,490251,-1,193696,658909,-1,94066,-1,941901,519103,963826,209678,250431,97300,-1,664934,-1,991441,602778,259471,-1,284711,-1,-1,-1,-1,-1,-1,952055,140324,650982,812784,-1,218432,-1,-1,-1,170364,-1,10957,459666,267836,-1,829748,645259,352659,-1,183923,-1,521541,-1,-1,226136,870411,-1,297818,-1,-1,-1,-1,-1,-1,68955,753676,906757,72581,286843,183330,969173,-1,-1,-1,-1,75840,-1,975526,-1,-1,-1,-1,-1,740502,931441,-1,29925,803728,855175,-1,-1,-1,-1,-1,428925,-1,909872,982139,-1,-1,175774,155010,-1,534311,-1,594166,-1,497331,534593,374046,158616,-1,564904,-1,491707,-1,-1,-1,-1,174199,-1,162620,-1,748663,872675,-1,418215,40125,500549,221272,858737,405460,775485,155228,-1,253729,-1,421720,-1,950624,-1,-1,298472,679672,14863,984995,998193,827546,-1,85802,954249,-1,459516,-1,-1,340161,-1,675922,444849,-1,487712,-1,127786,-1,670998,29744,737252,307268,865549,-1,278228,-1,-1,-1,128572,505980,-1,-1,-1,140349,462319,571824,-1,-1,789119,-1,277943,108472,-1,-1,-1,-1,-1,-1,-1,762911,700863,-1,506739,776257,-1,259731,740009,-1,257225,407820,-1,-1,-1,-1,-1,219724,923663,-1,952515,-1,-1,725164,596722,-1,668113,-1,-1,-1,360193,69269,-1,-1,488956,856101,995766,719831,62727,-1,539667,59227,658529,-1,966198,-1,13629,524648,750936,421314,-1,420900,-1,862731,678252,-1,772294,-1,-1,-1,804686,582878,-1,192625,631021,476060,72535,332238,442865,138199,-1,-1,-1,-1,349563,-1,774978,-1,-1,447424,-1,892091,117239,-1,263175,373411,740526,50804,-1,28690,821471,-1,-1,-1,-1,630268,638829,412286,-1,790064,-1,381227,-1,-1,-1,-1,526959,201990,233943,319593,-1,-1,-1,-1,-1,-1,-1,77210,698420,-1,-1,-1,-1,-1,654665,535562,-1,-1,-1,733839,998679,-1,946519,195272,745515,-1,93421,-1,-1,-1,844226,853025,541095,822215,30175,-1,877423,-1,517669,233557,-1,885832,990003,-1,107725,-1,135760,-1,-1,-1,960134,389164,-1,-1,-1,-1,917275,199940,621572,-1,-1,493913,804053,1300,449349,-1,-1,36091,-1,16010,-1,428510,-1,619728,-1,117737,-1,-1,263177,44158,-1,-1,111461,-1,-1,-1,801404,720984,350411,644019,953146,867683,-1,-1,249818,-1,-1,-1,650993,-1,-1,982719,-1,852772,-1,263869,-1,682522,240923,413396,544484,-1,-1,-1,-1,-1,-1,-1,-1,404336,663905,856486,-1,-1,771101,942026,-1,430052,527398,146729,443508,622815,-1,-1,170896,740968,-1,886389,-1,-1,163985,-1,-1,472183,159329,909371,3747,-1,516314,361692,-1,569665,-1,-1,-1,509664,-1,-1,-1,-1,934453,-1,-1,-1,-1,803868,194721,-1,202725,-1,-1,-1,-1,-1,-1,-1,799856,-1,-1,418420,-1,-1,585129,-1,-1,-1,-1,-1,-1,-1,567900,-1,-1,-1,827418,-1,131534,126254,-1,846636,-1,799489,-1,30564,666308,-1,-1,-1,-1,697214,234763,356673,-1,579956,319492,-1,92441,713304,-1,987093,-1,749115,-1,-1,982324,-1,-1,-1,-1,470948,829530,-1,-1,935205,545106,825827,482761,-1,984490,239969,-1,-1,-1,-1,259400,808549,675193,915807,707967,-1,-1,-1,651933,-1,-1,-1,659883,-1,355454,-1,-1,410926,-1,226014,-1,699255,578563,-1,-1,384910,-1,-1,-1,-1,561691,-1,432144,-1,-1,328597,-1,945178,2963,-1,437938,341782,191735,721031,636786,-1,577376,-1,-1,-1,838821,-1,272302,848696,-1,-1,580299,771098,-1,-1,-1,733978,-1,-1,-1,-1,587089,-1,-1,541276,240834,288398,-1,-1,-1,599755,-1,-1,-1,173090,681203,987443,506566,391909,866959,244330,-1,188735,-1,-1,-1,347668,72774,-1,968656,-1,463269,518932,569392,-1,470071,-1,-1,783217,937412,-1,-1,-1,499955,-1,-1,-1,-1,-1,-1,-1,773220,-1,236120,-1,184619,-1,-1,-1,136241,-1,-1,-1,-1,-1,-1,822766,-1,173598,-1,340776,481999,968064,766616,921486,196988,807915,814330,641700,-1,-1,832922,138723,-1,982250,903362,-1,-1,586392,-1,772314,617253,-1,-1,958692,538808,743556,-1,-1,-1,486227,681202,-1,-1,549069,802294,-1,781228,569118,-1,-1,682032,992221,172746,92331,553076,-1,52862,133788,478394,-1,255034,733428,-1,275823,945980,-1,528895,922860,-1,-1,849413,-1,-1,386086,148836,616887,-1,729346,432632,740042,127197,-1,-1,621280,-1,529088,-1,-1,686678,-1,-1,310651,116138,678277,-1,789041,114317,670429,118089,-1,742202,888014,134947,-1,69629,-1,612416,132331,-1,-1,764930,767771,-1,-1,-1,230262,694382,-1,760094,-1,-1,718554,777911,-1,-1,26125,82071,-1,93217,504520,892025,877367,647682,787851,667080,595087,255742,-1,-1,-1,-1,383893,863279,-1,345398,353294,-1,-1,414324,-1,144900,167805,899309,-1,-1,-1,206436,-1,-1,-1,45779,-1,-1,661756,-1,164523,-1,-1,797690,-1,207374,352720,-1,-1,-1,849385,-1,671345,571320,-1,-1,-1,-1,-1,789848,982321,351534,-1,647166,-1,-1,-1,-1,454454,-1,-1,903105,-1,498580,-1,579545,675803,14188,-1,-1,-1,-1,459476,-1,618355,-1,117562,-1,-1,-1,-1,-1,-1,-1,571224,-1,-1,-1,-1,642653,-1,-1,-1,-1,522159,-1,-1,-1,505219,208373,185076,379143,-1,46402,936869,-1,76919,804562,-1,361497,652995,-1,241467,-1,686921,-1,-1,127533,702794,-1,-1,969510,540955,-1,981627,970561,-1,-1,-1,476477,-1,-1,79893,-1,-1,35069,-1,-1,-1,952431,464181,-1,-1,-1,168065,303303,-1,-1,-1,226808,454846,-1,-1,27774,922287,211923,806167,-1,622173,-1,-1,211278,623000,931601,18437,-1,754521,-1,-1,-1,-1,-1,-1,681082,-1,814423,-1,-1,-1,43665,389629,309479,2974,-1,-1,-1,-1,779867,-1,186146,352477,651370,-1,-1,-1,579616,-1,842439,-1,-1,-1,-1,-1,219020,-1,-1,-1,-1,-1,-1,-1,527118,327831,718182,914525,-1,-1,113713,172372,125147,76306,-1,-1,-1,776309,-1,-1,468348,-1,-1,892460,856607,-1,18049,-1,94059,36676,488117,-1,574064,-1,-1,357548,276208,807929,395365,665040,-1,678428,-1,462223,519678,-1,-1,-1,303986,767197,-1,728371,-1,421934,-1,-1,72616,-1,348750,-1,-1,-1,-1,558988,719818,385531,-1,-1,713192,-1,145684,297684,654606,-1,-1,-1,727153,321088,248755,-1,-1,-1,204093,-1,-1,348316,50469,776276,952544,516533,-1,316958,844937,404698,-1,345307,-1,-1,237482,910134,-1,739453,-1,-1,-1,496640,-1,687160,-1,-1,-1,883415,-1,-1,75167,241600,659221,-1,-1,-1,-1,-1,-1,-1,348146,-1,-1,-1,87634,417508,845371,460680,292205,628994,39767,-1,-1,235813,-1,380516,719535,301444,118054,-1,-1,413331,85795,908317,-1,-1,-1,-1,-1,12813,-1,286054,77076,-1,-1,-1,208439,472668,735519,923697,-1,-1,317333,329257,-1,-1,368924,-1,305268,-1,409559,-1,880012,-1,343039,-1,862697,-1,684930,-1,242472,-1,351988,782065,-1,-1,983073,-1,-1,482615,-1,878349,906281,-1,-1,234341,857986,-1,-1,-1,-1,-1,-1,495541,-1,-1,580939,426140,-1,866047,-1,-1,-1,141063,-1,412965,944486,307460,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,371129,-1,-1,-1,143970,-1,-1,-1,570080,-1,941965,-1,257390,564977,638389,-1,560426,-1,951678,980722,292141,-1,760938,-1,-1,371796,-1,-1,-1,685432,287282,946329,-1,643488,74220,-1,36778,-1,930829,573978,-1,536797,66543,611106,269096,969750,682286,-1,-1,-1,-1,-1,230732,672345,154961,347933,475625,-1,630037,-1,506915,641292,726060,632136,401851,-1,179441,221766,461559,971861,509960,720231,-1,319765,684829,-1,-1,-1,250319,153259,808320,-1,-1,-1,776270,-1,-1,-1,961644,-1,993115,289859,808670,518374,-1,744154,-1,217323,-1,-1,-1,928154,606557,496702,-1,-1,-1,765019,-1,79480,-1,-1,-1,605251,327275,-1,49030,928569,-1,-1,-1,-1,38809,-1,535547,-1,876497,621875,-1,-1,-1,11421,-1,-1,-1,-1,-1,437913,-1,634341,-1,-1,609160,-1,859539,-1,-1,-1,824258,-1,931843,534777,-1,-1,544289,-1,-1,-1,105502,478870,-1,649857,-1,-1,-1,200646,-1,-1,576665,-1,-1,316735,-1,337642,671592,-1,407823,-1,-1,735352,866046,572165,860331,-1,109773,330050,-1,-1,624267,-1,-1,166418,-1,513546,-1,219711,572696,-1,-1,-1,86492,-1,-1,702214,-1,-1,-1,249342,-1,-1,-1,349581,622149,67495,701624,678809,-1,-1,-1,152779,-1,803122,115052,-1,-1,-1,361314,-1,186481,866434,606599,37121,-1,265754,-1,-1,-1,-1,391252,331552,341388,977928,-1,60598,766017,121913,-1,337793,-1,-1,127221,636060,-1,532323,-1,950139,-1,-1,-1,-1,540435,597890,-1,724998,476231,-1,-1,-1,214900,-1,47645,483989,-1,-1,-1,136320,437569,-1,-1,672835,368022,-1,566203,181366,-1,833451,443741,-1,594157,319502,323471,396088,734200,923184,139588,477272,-1,988994,787222,-1,-1,976187,217986,-1,-1,514155,-1,-1,-1,-1,222632,592813,591741,760897,-1,588142,98892,566285,-1,-1,321801,-1,-1,-1,41882,85108,140055,-1,986249,22053,282276,643566,-1,-1,277316,665983,-1,504253,775748,-1,-1,507056,14714,-1,-1,-1,546842,871083,-1,346697,360097,898307,-1,106954,-1,399818,-1,-1,730567,-1,755636,227714,-1,758147,369954,-1,226123,421580,-1,-1,745232,348305,380124,905081,-1,-1,860607,263635,-1,-1,-1,567963,974681,337515,935711,-1,-1,865871,115630,-1,372439,378313,-1,-1,475716,-1,-1,-1,-1,-1,-1,-1,-1,673101,899948,852998,-1,516003,-1,634765,-1,524821,-1,-1,-1,77309,-1,413329,-1,-1,-1,43819,359678,769937,-1,-1,487471,503342,-1,841232,293664,794157,-1,-1,60775,-1,-1,919708,793881,-1,437132,515279,-1,10112,205750,-1,-1,249899,736927,523995,202689,874594,409428,766961,-1,67593,483915,555591,-1,-1,200216,-1,-1,732227,-1,-1,-1,854100,142699,265771,-1,288198,76581,-1,41718,258096,249393,238152,-1,-1,-1,-1,-1,-1,-1,261451,451200,367953,535861,-1,-1,64135,-1,-1,-1,205981,-1,61696,-1,74613,725501,-1,210656,-1,229531,-1,886576,796794,-1,-1,628198,-1,526876,-1,-1,-1,-1,620134,-1,-1,-1,-1,-1,252857,962050,-1,-1,-1,-1,996369,-1,864696,-1,220735,739848,40146,-1,373433,-1,151849,-1,-1,-1,548683,312648,927305,691071,206665,540912,-1,808742,-1,-1,-1,-1,574556,552267,-1,993992,475132,-1,-1,-1,461305,179840,246855,213834,-1,389299,-1,-1,618974,-1,367826,867889,915054,560610,-1,110373,750943,-1,439551,241073,-1,-1,-1,314202,-1,793580,-1,-1,125445,4200,-1,225884,816561,185552,-1,645020,-1,-1,-1,-1,586574,364370,-1,-1,-1,-1,576756,-1,818807,-1,-1,982735,-1,222713,-1,-1,12286,-1,114277,-1,-1,-1,-1,507064,-1,-1,518521,-1,587084,794278,-1,-1,-1,191026,284505,-1,-1,-1,987950,166163,-1,-1,-1,-1,28809,705755,-1,-1,907066,-1,65794,929132,208684,70705,509180,647839,-1,-1,-1,439726,-1,-1,79647,-1,-1,-1,-1,857872,46958,-1,840661,272257,6756,-1,-1,555339,-1,696428,125936,8816,-1,539409,-1,-1,-1,435003,468910,-1,-1,606771,-1,93661,-1,458283,-1,-1,-1,-1,676004,709360,-1,308731,-1,895316,65227,122964,126012,-1,-1,165196,920397,-1,722929,-1,-1,-1,-1,-1,-1,-1,146755,-1,-1,-1,-1,786083,-1,-1,-1,-1,639565,-1,38759,-1,-1,303490,-1,-1,-1,853010,79227,-1,648033,-1,-1,50779,548423,754658,-1,-1,-1,-1,-1,608149,-1,308255,-1,-1,-1,241673,-1,-1,-1,-1,30299,766146,-1,464877,466916,669144,795605,-1,192351,582638,-1,878369,-1,700432,503911,881401,299395,-1,549904,-1,668785,-1,726887,484592,742689,221002,-1,-1,637586,-1,-1,-1,-1,985792,-1,74968,-1,-1,366569,411534,-1,142845,454412,-1,-1,104687,91839,-1,-1,766492,-1,-1,217203,-1,645330,-1,420859,-1,-1,629965,-1,119146,-1,983618,-1,-1,502512,152308,105118,-1,870939,679191,-1,144445,383091,-1,-1,-1,-1,-1,-1,290859,-1,377163,354120,-1,666408,762366,470699,-1,804267,815743,-1,-1,-1,519328,870457,962589,32494,-1,266240,-1,-1,674219,373015,-1,44652,-1,-1,-1,-1,974669,935964,956815,-1,-1,651738,-1,-1,768754,-1,-1,-1,-1,-1,224558,-1,-1,172606,216724,153768,437704,635658,-1,417679,-1,513218,-1,919020,-1,-1,-1,-1,318778,-1,183600,-1,-1,596455,-1,922366,-1,-1,-1,750760,439344,811327,740587,980328,559483,224565,-1,-1,995770,-1,-1,750629,926283,91034,546168,-1,654016,336209,-1,-1,-1,-1,717614,-1,191788,-1,-1,-1,-1,-1,232496,-1,-1,-1,215362,-1,725300,-1,-1,126527,643746,285779,430978,-1,441193,-1,-1,-1,74869,-1,444547,861821,-1,182689,-1,526519,435591,380663,-1,-1,-1,-1,902878,-1,898357,321770,-1,550233,429398,734633,731323,108946,208511,262904,-1,258349,355958,413580,-1,436588,-1,-1,-1,-1,-1,538552,344896,-1,-1,951961,-1,155592,-1,549390,-1,-1,-1,-1,-1,978196,776031,94473,-1,-1,810045,-1,-1,-1,-1,867072,789010,-1,-1,-1,-1,-1,-1,240064,-1,709100,766552,217979,932211,465669,-1,-1,-1,837275,-1,85747,-1,-1,-1,-1,-1,327501,-1,-1,950026,-1,73296,861804,-1,251680,441146,80798,413619,-1,639960,-1,455076,-1,953925,-1,-1,144598,518272,-1,286681,-1,770103,386611,641368,328621,394397,368231,627169,-1,-1,118733,-1,291248,591941,460710,-1,-1,263370,8460,-1,-1,704192,-1,-1,-1,-1,695902,142289,874702,-1,138582,185710,979064,-1,-1,687598,617243,-1,-1,-1,224110,615350,-1,18797,-1,914312,239697,-1,994554,469600,239177,118104,346483,839678,-1,215242,275265,498920,903984,359089,921609,181442,-1,-1,498880,889257,-1,518390,409830,-1,-1,-1,917079,-1,-1,-1,708650,-1,-1,-1,-1,539221,615201,772504,-1,-1,-1,845364,490627,789568,-1,-1,-1,616395,-1,-1,1136,309541,-1,-1,-1,919381,139962,198228,-1,-1,-1,139658,523982,-1,-1,-1,-1,790239,-1,122528,-1,-1,324269,-1,-1,-1,222691,-1,-1,-1,-1,593344,367564,473668,844448,932498,64690,542705,-1,949466,-1,-1,418968,-1,-1,424264,-1,345464,852563,430307,576229,487271,580233,-1,392492,892929,320903,798907,663743,-1,-1,536574,111574,-1,699316,11739,-1,751512,285085,220939,526052,-1,-1,876747,856332,-1,-1,-1,902436,-1,40439,444598,220012,-1,565470,919810,-1,876976,-1,-1,781742,-1,-1,-1,-1,529677,-1,977201,-1,-1,744919,852286,-1,606857,-1,39748,-1,-1,-1,-1,-1,177417,-1,992765,179787,-1,-1,-1,645908,-1,276962,431304,567971,496535,762125,-1,547645,385039,-1,-1,-1,405824,341318,299330,192606,-1,543315,381183,1661,599856,201854,547973,-1,739643,-1,-1,191974,976250,-1,-1,563059,-1,-1,781031,-1,-1,-1,166825,-1,340320,-1,459991,-1,551328,501951,218183,266718,734923,552382,985924,790979,136392,-1,-1,-1,-1,-1,258557,913825,774767,997539,303863,-1,-1,448277,519937,-1,-1,-1,511116,-1,-1,306742,567450,-1,-1,722266,913357,471042,-1,-1,353392,-1,-1,49072,210036,-1,104363,535390,-1,48374,-1,-1,277971,999015,-1,-1,-1,184059,261238,643975,532833,189521,-1,-1,211463,-1,333936,-1,736156,279377,-1,-1,828376,-1,-1,-1,731226,310646,-1,-1,-1,-1,684152,-1,-1,-1,547048,733566,-1,398154,-1,833805,661128,521056,714710,519968,814422,-1,-1,199637,982045,237455,81494,-1,-1,161107,957408,-1,988335,667421,890292,712168,88345,76991,-1,612026,-1,232299,283138,-1,-1,-1,771679,-1,310400,-1,-1,-1,752531,68206,-1,54061,-1,-1,-1,-1,-1,715851,-1,999920,-1,-1,-1,951793,-1,373702,692924,992225,-1,-1,50455,309442,456910,-1,595428,404156,324894,-1,-1,350269,-1,-1,36556,695386,915474,166162,687864,-1,247695,-1,-1,-1,-1,-1,833381,-1,443806,557889,771252,457570,888845,570222,920087,798412,798364,519189,-1,108264,660547,-1,-1,205694,741734,-1,440005,949302,641654,-1,701920,-1,170449,280157,-1,314840,609887,31830,904199,913697,326222,-1,975454,-1,398335,14758,985657,11159,883142,-1,-1,892862,306217,195059,-1,535491,827775,-1,-1,145703,-1,387940,208969,709386,-1,342760,-1,83557,385393,-1,80287,7642,708438,-1,-1,-1,624719,54925,-1,956888,-1,521388,-1,826257,-1,101661,-1,-1,132352,447990,439876,164431,594475,344928,922170,409875,679722,-1,621763,-1,-1,-1,39550,595197,-1,363205,768426,-1,792323,334193,785532,117959,-1,716810,-1,352391,742820,-1,-1,-1,-1,220251,239521,-1,-1,-1,598023,621463,253426,-1,-1,523983,455558,-1,-1,640704,648117,-1,773131,860410,128951,473295,-1,-1,-1,-1,749026,979927,-1,885631,607407,-1,-1,-1,306607,186761,840859,-1,665462,278284,179244,134198,828725,338797,-1,473705,-1,-1,444622,963515,828453,106384,88484,-1,688890,213863,-1,-1,777344,-1,-1,-1,-1,-1,799562,-1,623846,-1,-1,-1,787449,413744,-1,18896,-1,535446,989678,-1,230412,21299,-1,711543,-1,-1,-1,-1,919605,915490,-1,275550,312769,740782,895416,959117,-1,729264,-1,-1,498068,169893,580824,433853,800892,-1,590644,868963,-1,-1,158557,783972,-1,724803,986434,-1,-1,404853,-1,350514,288408,-1,974018,34237,-1,549728,-1,-1,-1,339636,-1,828245,158614,-1,544185,-1,-1,279859,-1,-1,-1,-1,220449,546952,-1,-1,-1,208619,617544,-1,-1,-1,634805,542852,-1,190174,384090,-1,70967,459395,-1,-1,-1,120573,911830,395411,640940,-1,879717,-1,266725,953291,-1,-1,872124,-1,808947,254465,554571,249592,-1,-1,-1,980857,-1,187728,-1,-1,-1,839827,40713,-1,-1,-1,137708,886986,604483,922346,-1,895000,-1,393195,-1,-1,99572,241471,-1,849508,987779,737836,-1,-1,-1,575245,3869,-1,-1,-1,904390,480866,286065,-1,763865,-1,95047,774942,877326,-1,69926,271857,-1,351340,520615,1833,-1,794564,628215,324296,588830,942019,-1,212545,-1,632614,-1,383393,-1,777501,-1,-1,886528,341768,-1,424952,428199,296939,446968,23370,-1,843654,-1,-1,693842,980201,832618,707043,482112,181258,871534,246683,-1,616987,-1,434419,-1,694815,492258,688774,-1,-1,-1,-1,-1,-1,-1,-1,-1,140695,402999,-1,600254,-1,-1,536218,985782,699598,-1,368990,360526,-1,-1,649602,-1,-1,-1,135826,385815,719459,-1,308969,518395,149925,887972,-1,-1,424123,268494,-1,-1,776123,-1,-1,-1,729521,356312,-1,-1,-1,590968,725201,379021,-1,936288,694857,368922,-1,96479,528517,-1,57220,169916,-1,-1,-1,-1,410820,170076,233620,995887,-1,338366,-1,-1,476677,-1,754218,-1,949906,-1,-1,-1,-1,977482,130616,-1,-1,591928,83040,929943,-1,-1,-1,941970,933088,-1,626459,300520,-1,-1,956859,-1,-1,444238,491694,807986,769022,-1,162431,-1,613220,698411,707387,-1,414784,-1,466063,-1,-1,-1,-1,-1,-1,179433,616035,-1,-1,-1,398599,192569,-1,-1,-1,-1,-1,-1,201922,925207,12318,-1,-1,-1,-1,-1,842458,990090,675720,432316,-1,-1,-1,-1,-1,887491,504819,-1,-1,-1,337285,-1,-1,802536,245479,-1,595731,-1,-1,444355,565009,985969,-1,-1,518715,-1,713764,-1,-1,489377,956512,305445,-1,-1,71257,362657,-1,116349,251912,93237,-1,131398,-1,-1,-1,28031,-1,-1,-1,201454,-1,-1,-1,-1,-1,-1,-1,-1,-1,775438,-1,260295,-1,-1,745247,63062,113044,749593,-1,-1,-1,78399,-1,858539,765107,-1,-1,833060,13254,-1,719129,-1,538311,-1,248328,-1,-1,933949,175384,232529,938869,624212,-1,113263,494272,-1,-1,-1,984431,856723,-1,-1,180604,798251,123311,746011,-1,-1,364726,-1,898366,310861,-1,-1,562812,-1,422674,-1,65668,331829,689682,-1,837223,977065,443382,295769,390948,-1,714365,-1,967575,810345,148632,816008,-1,840198,-1,203820,-1,875070,678580,-1,958836,-1,-1,-1,806433,652277,-1,650039,-1,7992,985519,-1,-1,-1,-1,253355,443029,133324,60763,994007,-1,-1,213395,684640,848079,-1,658861,-1,-1,809453,165090,-1,524822,-1,442265,842535,418986,-1,-1,-1,460210,-1,775927,569577,46528,-1,-1,-1,-1,-1,-1,601111,-1,413263,944090,-1,910620,544486,-1,108896,-1,142865,68099,866260,-1,525590,-1,673989,449747,-1,642266,-1,688635,601763,-1,-1,-1,-1,-1,152812,-1,-1,-1,881664,-1,-1,-1,-1,752385,388963,487268,-1,4530,-1,99695,-1,-1,-1,444545,60719,545578,-1,443905,-1,453703,612408,575048,-1,754093,-1,-1,-1,-1,731799,720411,247783,-1,-1,306609,459214,-1,317897,35401,-1,986017,533310,712017,-1,790473,504017,831699,-1,878263,-1,499390,559102,-1,-1,907504,-1,-1,477134,-1,309511,-1,423982,256142,741294,400587,-1,-1,860385,991851,-1,26097,755395,-1,472393,-1,-1,169122,695217,-1,-1,-1,-1,663473,677005,-1,-1,201263,44373,130378,720135,-1,62589,-1,830770,-1,-1,-1,578427,-1,507460,-1,32043,623413,845418,-1,-1,693848,-1,997887,278081,9211,-1,411280,323170,778012,629257,-1,241528,-1,-1,-1,-1,659856,436023,837651,714981,9386,-1,-1,-1,-1,558058,289895,-1,856158,477616,-1,804745,538413,-1,-1,-1,487567,-1,100596,633361,-1,-1,-1,207870,575811,-1,-1,678853,223000,928391,396611,713675,460609,-1,-1,232658,96717,-1,-1,-1,354155,-1,-1,-1,822445,-1,511690,695886,511113,323928,-1,572238,365933,701579,254791,-1,-1,-1,-1,562835,-1,672910,524205,708599,-1,649143,140408,994085,429258,-1,-1,-1,-1,933174,703901,-1,856054,32558,-1,16215,-1,-1,80677,915733,741268,-1,249269,265870,138559,-1,-1,-1,-1,-1,-1,513867,601913,217764,593010,-1,686872,-1,69387,770890,-1,144048,276024,-1,-1,-1,619324,709477,-1,-1,696812,-1,33311,-1,-1,-1,893561,-1,-1,-1,-1,-1,-1,524518,-1,172951,-1,-1,477696,-1,-1,802388,-1,746300,522003,353921,224603,-1,107465,952813,311295,918203,558072,-1,-1,-1,180615,-1,-1,38605,-1,-1,-1,937244,-1,539791,-1,-1,-1,933105,-1,905913,822076,-1,-1,159432,801298,-1,459520,-1,559466,39368,162258,-1,-1,934791,-1,-1,859086,-1,975091,906352,-1,299921,-1,646884,-1,-1,-1,-1,953,-1,396116,85019,-1,-1,753971,-1,680270,98733,-1,-1,-1,828876,46524,-1,-1,-1,993568,253618,-1,-1,54402,880832,-1,-1,871059,467040,249129,191391,-1,23362,-1,-1,-1,154139,-1,556544,479195,20847,659403,-1,-1,-1,-1,-1,527535,-1,-1,926583,-1,-1,524723,-1,683113,-1,-1,-1,477331,761396,-1,799942,731318,-1,-1,651636,502296,925510,200485,141221,632119,-1,-1,214619,657352,826273,994582,770177,526177,-1,-1,-1,337009,206889,-1,809876,231511,-1,-1,485230,45609,756799,-1,-1,-1,591159,431077,-1,843987,782910,835762,-1,578184,-1,-1,697920,-1,837921,-1,183739,-1,-1,739130,284007,152608,-1,551115,566646,-1,322981,862298,-1,761142,418557,604718,484165,483747,-1,336577,855760,2622,-1,359328,-1,-1,356616,-1,-1,514817,528920,77717,-1,790777,-1,-1,168621,781109,-1,703888,-1,-1,624768,600644,-1,142936,-1,-1,-1,918985,157993,87446,-1,-1,-1,967676,-1,928605,343134,643601,218145,-1,225946,-1,428454,-1,-1,-1,-1,-1,18622,606271,536681,-1,592614,672946,627541,-1,765682,87514,60798,-1,-1,-1,-1,-1,933081,925099,-1,704506,603716,805758,46976,-1,410304,349094,-1,-1,932309,-1,866044,-1,-1,-1,-1,-1,195989,214159,11714,-1,-1,535387,-1,-1,-1,-1,309850,-1,310624,-1,125982,461247,450243,934458,823056,-1,-1,-1,899290,699160,-1,789556,-1,142716,978733,152961,-1,-1,-1,948215,101457,17328,133405,-1,399634,-1,209426,-1,-1,65108,959227,628302,890787,325296,-1,-1,-1,-1,-1,526794,137687,-1,-1,898617,-1,15805,-1,450100,903706,-1,-1,746061,581898,-1,19389,-1,-1,124952,-1,705796,-1,-1,28435,-1,366900,213706,250538,-1,-1,-1,-1,812906,-1,963533,-1,483984,548439,306450,797120,-1,876928,-1,-1,323542,922514,-1,208959,-1,72642,602076,589689,-1,393337,74147,-1,-1,-1,-1,459797,-1,-1,925598,357965,186703,264789,274848,695673,384610,54908,-1,-1,454295,-1,-1,708033,-1,605872,-1,379026,-1,-1,366146,77503,531003,-1,-1,860148,-1,-1,109312,787303,-1,279327,577618,-1,-1,-1,481644,373661,419250,-1,695525,-1,863777,-1,932397,552662,212079,18702,-1,-1,435190,713473,439061,-1,68763,-1,658449,406975,178173,684469,-1,-1,-1,-1,972424,890456,481352,805312,-1,176114,442034,-1,-1,-1,-1,778719,-1,42063,535822,-1,-1,-1,-1,651746,76275,415865,-1,755309,-1,198679,-1,990127,-1,244690,695125,71975,787274,35620,-1,118508,-1,671953,-1,-1,-1,445098,-1,-1,-1,-1,127627,986458,143493,582021,-1,-1,-1,948958,336080,979339,516329,251150,-1,-1,-1,391155,864355,203078,-1,544507,906194,89565,-1,-1,414716,-1,-1,-1,-1,352203,37840,436557,-1,-1,-1,-1,917484,-1,-1,319535,308344,-1,-1,642043,-1,-1,-1,558694,-1,-1,-1,-1,-1,561681,487989,-1,422537,658509,572640,-1,878291,-1,890568,-1,842889,-1,-1,-1,469479,44409,-1,-1,810604,-1,-1,836826,-1,828780,-1,107550,-1,288375,513557,297377,331990,406414,124356,83271,-1,565952,778197,-1,-1,-1,590689,229310,-1,-1,572982,-1,-1,365645,-1,884754,207436,881573,419845,-1,687063,862325,-1,80980,348292,361231,-1,-1,752454,492224,-1,-1,463734,-1,469982,-1,-1,567719,548852,61155,676007,651055,-1,-1,-1,-1,-1,-1,-1,-1,856227,-1,678865,144024,753009,290481,728788,905845,692215,-1,204575,-1,998034,-1,192437,-1,-1,-1,-1,-1,-1,-1,989577,-1,224425,-1,295977,660183,906606,-1,760446,577867,-1,-1,461986,809572,-1,-1,103449,-1,766102,761754,-1,-1,-1,221523,78080,81650,653699,266302,-1,-1,-1,-1,822371,-1,699367,392948,-1,-1,-1,730413,-1,228244,-1,942217,106071,330759,-1,-1,-1,-1,931095,-1,951080,291974,-1,761458,914863,-1,-1,-1,978073,792889,-1,-1,-1,-1,413304,-1,674422,-1,-1,970499,793962,277460,-1,-1,-1,7863,-1,-1,-1,528022,-1,176413,840062,-1,404925,819734,-1,-1,791381,310130,-1,522750,491775,-1,548484,398055,-1,-1,654554,66545,-1,848578,167151,203546,-1,902211,637674,-1,-1,-1,-1,367040,-1,395676,466938,256322,-1,-1,293175,-1,-1,-1,-1,-1,896194,-1,-1,-1,-1,111054,-1,-1,969896,693626,-1,-1,-1,861189,438565,392395,-1,-1,-1,986942,-1,624006,783731,174024,-1,-1,-1,355822,-1,38843,-1,705134,296984,348829,577085,-1,-1,293535,-1,817834,551457,-1,-1,620068,966169,-1,-1,-1,253586,117858,-1,441522,-1,582671,561306,191103,730143,-1,-1,-1,282566,-1,-1,-1,547371,519166,-1,-1,368512,331891,280453,-1,-1,-1,806402,-1,710663,383706,255536,2834,268886,-1,-1,-1,76631,-1,544921,626444,767096,291837,997937,-1,284583,64463,678095,-1,334726,591374,848683,177993,-1,735816,-1,651532,962543,-1,218611,605122,-1,947472,78417,44501,580406,308671,-1,633326,-1,791283,-1,-1,-1,63058,530864,-1,873939,-1,924332,-1,245679,-1,-1,-1,818704,-1,-1,-1,-1,-1,265069,244272,-1,-1,866910,-1,-1,-1,82201,-1,714913,748841,801603,369825,-1,638740,542369,497349,964107,621366,582213,-1,-1,-1,468416,-1,-1,466847,-1,-1,12772,-1,365029,567313,226616,-1,-1,662951,246410,459185,383015,-1,75129,-1,-1,-1,-1,-1,61293,113803,435359,-1,-1,795112,-1,853160,33270,-1,-1,562412,143025,908198,-1,-1,893324,-1,-1,-1,-1,228884,-1,-1,419383,-1,-1,150784,297940,-1,-1,-1,517856,-1,354677,215551,-1,-1,-1,-1,837240,-1,-1,-1,205942,-1,-1,314090,-1,-1,9994,643180,819307,-1,247484,-1,674363,-1,882982,-1,222253,-1,752124,-1,542144,-1,-1,-1,32896,486304,172062,-1,-1,39538,-1,667687,474537,66041,13145,577626,211237,-1,178286,491799,869638,180163,738266,-1,-1,453954,219003,-1,94154,60542,-1,-1,-1,319638,-1,-1,227233,314638,-1,615912,-1,-1,499289,-1,160061,103148,-1,-1,-1,-1,-1,652125,101746,-1,-1,-1,335192,229342,967722,-1,63723,-1,802351,966628,-1,-1,-1,76374,547297,-1,-1,-1,180504,-1,-1,-1,-1,-1,-1,446994,-1,566954,1131,447332,543023,71273,-1,915172,178396,-1,-1,332716,842022,691843,176991,-1,29999,-1,181574,118108,664644,-1,116174,-1,-1,-1,-1,-1,589211,-1,944325,323681,532554,192352,133121,763786,-1,-1,623884,151722,195397,-1,387450,254562,229105,-1,531843,-1,517231,857959,252466,954080,146085,132187,344772,543404,-1,-1,690432,826501,-1,990106,-1,261258,-1,994083,95626,-1,553691,-1,-1,91732,928412,-1,985366,-1,5135,548868,-1,354704,568330,546378,-1,537527,-1,345112,108792,-1,-1,368451,-1,-1,-1,892214,750696,281119,-1,90171,140387,417065,906386,-1,-1,549027,-1,-1,-1,855856,-1,-1,262377,34252,-1,660087,-1,22221,-1,648785,518647,-1,-1,-1,-1,-1,619869,-1,636493,-1,-1,-1,-1,615467,-1,431729,190110,-1,681345,238909,-1,25870,-1,-1,-1,377643,906135,-1,-1,-1,-1,-1,-1,446105,681097,-1,906580,74798,2113,788274,817825,-1,718522,-1,255001,344652,698658,754855,-1,-1,-1,-1,-1,459866,535275,-1,827839,-1,-1,-1,-1,995589,-1,407392,46983,490041,-1,-1,777226,-1,-1,387600,-1,258334,-1,719341,199591,426751,127874,-1,661010,7077,-1,-1,-1,-1,-1,-1,-1,277075,624172,360554,-1,53888,39531,195846,687513,-1,-1,314922,306864,-1,579166,-1,753287,-1,-1,141762,-1,-1,13619,1860,87092,-1,251446,-1,-1,764364,986361,-1,-1,814859,-1,98852,550422,34646,892818,217947,-1,469656,63198,35468,705473,-1,142509,-1,568809,79568,528981,648042,-1,332596,997665,-1,-1,567539,-1,-1,-1,206731,-1,-1,643416,326386,879452,601063,-1,775967,-1,465613,507249,159917,524397,234770,729812,-1,224284,-1,261870,683685,882639,-1,-1,-1,-1,-1,917529,980438,295739,-1,272197,-1,-1,956898,519725,-1,-1,-1,680187,958919,21277,157977,166215,-1,44814,713831,-1,468055,755499,253468,585385,397411,381759,493971,137433,122442,151184,646551,-1,686548,934858,-1,63110,233014,49731,-1,177668,-1,429297,-1,-1,645470,-1,-1,771366,937284,99760,-1,923468,-1,522138,327447,-1,-1,-1,813775,-1,383354,101842,-1,-1,-1,-1,-1,-1,-1,-1,612069,60909,981031,929396,-1,796762,-1,-1,638628,-1,971918,-1,522851,451407,377755,-1,63814,-1,-1,314475,635682,-1,-1,-1,-1,185568,-1,311944,315649,463372,-1,-1,-1,-1,312958,-1,-1,-1,53509,-1,487514,-1,114818,-1,-1,-1,-1,-1,699035,562231,-1,-1,935224,-1,-1,-1,426382,-1,936491,-1,798150,-1,944581,750146,757052,-1,79691,83088,487182,195558,-1,-1,327112,-1,525634,-1,-1,-1,-1,-1,-1,-1,250751,-1,941537,70685,412633,27243,709165,22484,-1,30322,-1,622152,-1,463065,-1,-1,830292,687300,-1,-1,-1,711146,407237,769324,-1,-1,-1,-1,-1,-1,-1,-1,-1,73997,-1,494287,-1,572635,484718,603698,-1,-1,-1,-1,840932,-1,542880,545461,692845,-1,630025,-1,-1,-1,81608,858886,-1,-1,-1,179557,-1,809383,-1,-1,-1,582615,-1,-1,655288,668663,-1,-1,-1,451388,2665,-1,118397,-1,276586,-1,-1,-1,51858,-1,619064,-1,-1,-1,815902,-1,-1,861574,482956,-1,748881,547127,-1,990034,342426,-1,-1,778952,-1,-1,971320,866088,-1,-1,536112,-1,29193,-1,955475,753099,-1,415208,-1,522175,250576,-1,562940,976873,556019,-1,74766,880608,-1,497999,-1,436132,-1,-1,566086,-1,-1,-1,839312,704007,540464,244081,-1,-1,96766,-1,-1,977278,724920,-1,636881,145041,500206,4421,291572,-1,-1,975050,-1,661899,-1,-1,751179,-1,865155,494143,688877,816930,-1,884484,555818,879913,-1,-1,-1,-1,253742,558406,335808,-1,749927,-1,-1,-1,-1,737915,203257,-1,889168,309203,812302,101682,-1,717175,882381,-1,-1,-1,982156,-1,-1,-1,391363,152513,232728,-1,21590,325095,418744,-1,895065,266354,358878,768709,-1,-1,887097,-1,913,903805,-1,265052,-1,-1,-1,-1,431572,-1,-1,-1,-1,751311,-1,-1,-1,448467,57382,-1,-1,223396,793727,-1,651939,237042,965881,-1,277869,616595,330453,879708,-1,-1,-1,669358,-1,633298,-1,509651,-1,290911,161575,455607,-1,-1,-1,286771,593854,-1,204615,-1,-1,-1,31683,-1,-1,987212,-1,-1,369206,900036,10824,506019,832607,779823,242750,-1,-1,939537,464367,-1,-1,-1,-1,-1,601299,1539,126338,450473,-1,-1,326158,-1,-1,-1,995752,-1,-1,-1,957092,-1,-1,557,585085,751351,654330,-1,122053,-1,-1,-1,342538,140398,-1,-1,-1,715015,-1,-1,448458,-1,-1,607767,-1,423942,-1,-1,710846,-1,744785,674295,-1,-1,-1,425991,461000,-1,-1,-1,-1,-1,4834,-1,178236,37402,-1,895363,-1,442986,124426,911205,-1,-1,-1,777065,-1,517623,769896,511608,-1,-1,474390,217440,578257,535109,-1,-1,600979,477694,-1,-1,38487,34932,738909,-1,589706,681938,542696,83993,-1,846183,-1,219323,975238,24412,-1,-1,899334,-1,483207,-1,-1,313494,-1,-1,618157,-1,-1,-1,957790,233210,-1,333692,65468,-1,882669,-1,-1,-1,984683,-1,880396,611400,-1,650981,585221,-1,-1,-1,-1,215900,-1,539682,96699,320836,-1,-1,2975,-1,-1,-1,-1,-1,810397,-1,5539,326605,-1,-1,-1,844155,111914,-1,-1,-1,29078,74062,-1,63230,43710,-1,954433,-1,-1,-1,774028,554001,310518,-1,464077,271187,-1,707810,605851,284053,-1,-1,-1,-1,-1,717004,-1,-1,894089,917969,-1,-1,934236,-1,-1,-1,666968,-1,-1,-1,-1,979289,633227,-1,-1,-1,549812,-1,-1,-1,228201,803193,-1,703564,610643,-1,-1,491452,-1,894700,-1,-1,987144,-1,-1,-1,-1,-1,818713,857220,-1,-1,-1,498646,258126,864482,402202,173733,-1,-1,-1,-1,296398,352170,678583,493120,836078,-1,-1,-1,480042,-1,845784,379452,-1,391648,14790,-1,681485,-1,385272,-1,671677,-1,-1,-1,870271,-1,373245,-1,-1,-1,52261,-1,304118,871108,-1,-1,-1,576889,-1,238987,-1,-1,763414,-1,-1,970707,790633,-1,564128,943872,847243,-1,-1,590944,24085,-1,-1,-1,60485,-1,-1,926284,-1,843542,-1,362226,411824,-1,597131,-1,-1,-1,-1,870190,-1,191553,929443,606627,345904,-1,-1,-1,730749,-1,637679,19725,14597,-1,-1,9409,43133,318386,948453,-1,-1,-1,-1,72516,-1,235280,-1,169267,131725,360147,-1,-1,786040,-1,292202,606353,531142,-1,235377,95534,382373,-1,430479,698930,-1,744042,-1,-1,-1,390271,605157,611585,-1,740056,-1,-1,539338,936753,-1,-1,613368,-1,764840,-1,802719,389091,-1,980626,310080,289390,-1,834860,300283,-1,167858,-1,-1,423168,550152,55083,618825,-1,347173,475227,990110,953592,-1,-1,821708,827947,888019,307093,-1,106249,968151,254569,-1,861891,219520,-1,832791,-1,-1,133132,935485,-1,-1,879368,-1,-1,-1,-1,-1,698971,-1,-1,400383,112189,-1,248185,-1,422324,-1,392961,-1,-1,-1,685973,148188,-1,597926,-1,-1,391617,-1,-1,-1,94996,-1,-1,-1,-1,394357,-1,-1,-1,620401,-1,439570,267017,846261,-1,-1,573515,348691,-1,-1,-1,-1,506366,434514,315616,988253,196482,866731,-1,780984,-1,-1,-1,-1,-1,-1,125395,-1,-1,-1,-1,891712,571380,-1,472350,-1,-1,999743,-1,-1,641925,643554,869719,-1,-1,528702,961036,-1,-1,-1,678024,-1,517744,-1,-1,376830,-1,-1,-1,-1,903131,816729,-1,-1,683080,-1,337658,104896,-1,-1,185133,-1,-1,-1,-1,747576,-1,-1,225790,418549,134885,468338,796060,-1,-1,-1,-1,257352,261716,742048,-1,-1,724429,940763,840340,448983,930451,440064,780729,-1,-1,443034,-1,-1,876920,366962,423905,-1,88848,-1,918025,-1,-1,-1,-1,152828,-1,692558,-1,406907,658025,-1,-1,-1,-1,791164,269643,562239,151198,454049,989870,783114,-1,207753,619643,631876,278355,352792,-1,-1,71693,-1,77250,-1,-1,250078,173898,662659,-1,-1,-1,290351,-1,732350,-1,-1,947667,-1,-1,164214,-1,665807,832252,-1,644263,420468,-1,367550,647152,-1,-1,-1,-1,-1,-1,494512,-1,164737,812692,-1,183900,-1,-1,-1,-1,-1,-1,161309,895230,822967,412046,-1,-1,399365,-1,682243,-1,574740,962527,335211,361096,-1,461206,463258,-1,-1,-1,790203,394467,552579,-1,-1,163876,335654,86908,-1,-1,397206,-1,-1,272695,393485,750749,19872,965447,-1,-1,-1,-1,63541,236304,-1,465142,-1,641712,264098,-1,-1,-1,338483,-1,240491,960776,54742,540408,-1,-1,-1,200214,370291,-1,-1,-1,-1,440268,663975,899141,43971,709183,-1,-1,-1,-1,-1,-1,-1,75187,-1,-1,-1,-1,-1,577531,829418,-1,-1,-1,-1,611736,164199,-1,770881,110711,50586,673873,-1,-1,-1,-1,-1,-1,414887,403270,655278,-1,831919,140200,601161,509686,-1,25281,-1,-1,-1,-1,445066,-1,281127,424488,-1,556056,215588,-1,-1,-1,979692,-1,-1,-1,63031,429049,188710,-1,-1,-1,906998,-1,619362,696649,-1,-1,-1,-1,25054,666829,320331,306043,-1,29711,-1,-1,23799,-1,-1,748467,437658,386391,-1,668141,-1,291529,-1,-1,-1,940126,-1,946819,351872,25396,879524,227037,985052,756278,111775,376322,-1,10222,98015,357406,844588,44929,-1,522342,-1,-1,-1,582135,878762,-1,646880,-1,91611,-1,-1,432423,854173,28404,-1,-1,366090,-1,723324,674221,624619,418479,438588,563097,-1,-1,743307,-1,684627,-1,-1,341479,786586,802212,391917,921684,-1,94355,461984,-1,522270,499826,897325,988733,-1,-1,752119,-1,-1,679129,906555,425235,918707,-1,494469,-1,815873,-1,-1,223894,72848,-1,243061,-1,840895,606612,-1,19731,279734,753893,-1,858811,836198,625705,450433,-1,650854,121716,58447,784904,-1,355153,296234,-1,-1,-1,-1,-1,79323,-1,686170,594816,561906,-1,-1,-1,-1,472440,471792,578630,-1,966074,486320,416033,-1,-1,-1,565293,294022,107173,286163,349331,-1,-1,40542,393524,-1,-1,944968,757013,-1,-1,-1,-1,-1,-1,988078,74700,-1,-1,-1,-1,-1,903841,362368,28491,25745,-1,-1,699900,-1,543735,-1,680983,911169,772796,-1,730760,-1,-1,-1,533432,140791,882833,-1,79384,841884,623665,-1,-1,772637,-1,-1,742304,288750,702758,-1,43647,-1,624130,-1,346006,304142,25618,99516,-1,-1,-1,-1,-1,870244,80168,-1,-1,-1,-1,764171,-1,-1,-1,126777,-1,575720,-1,-1,-1,-1,939522,-1,-1,416477,-1,-1,427125,-1,-1,-1,220786,-1,129974,-1,-1,191095,-1,-1,540763,-1,631016,844835,439581,986376,882372,-1,-1,833591,990103,-1,-1,-1,-1,-1,813548,950059,286649,346639,208747,942420,997180,-1,651338,-1,49673,553303,-1,-1,583554,180731,66691,-1,786639,-1,-1,-1,-1,-1,961810,803092,-1,-1,-1,238025,655799,-1,-1,672414,-1,-1,-1,811036,303793,484902,939419,516485,-1,105811,155524,-1,902564,-1,-1,210585,-1,-1,-1,388240,-1,99125,675277,-1,524306,-1,-1,-1,521375,965455,232224,-1,-1,-1,-1,-1,936387,734809,-1,862547,105597,62713,410230,333696,-1,330569,191433,-1,160518,145713,-1,-1,-1,243398,-1,-1,934600,311019,-1,730929,692946,-1,947568,845713,-1,226441,-1,-1,-1,-1,-1,725032,363801,-1,-1,813443,-1,-1,-1,-1,955038,741853,634405,453403,341973,592670,-1,337308,-1,575878,-1,562409,817019,-1,807473,425282,879770,398265,-1,-1,780118,685226,-1,61434,-1,139095,-1,-1,787759,8608,110523,-1,-1,650118,-1,-1,588659,-1,-1,-1,-1,66187,-1,-1,-1,630876,-1,-1,-1,-1,-1,-1,-1,581072,-1,-1,414533,-1,789635,-1,375143,542487,951389,622749,27176,-1,-1,919522,92680,-1,-1,-1,-1,386157,-1,-1,703190,817776,-1,652083,-1,996546,-1,-1,207792,442972,-1,197754,-1,262634,-1,-1,15800,-1,817538,-1,-1,950903,-1,806488,-1,189386,-1,443042,754561,435263,174337,172497,335045,-1,812202,-1,-1,-1,693144,533420,711442,810220,-1,464813,-1,-1,896620,-1,-1,-1,-1,250459,78430,-1,-1,452715,471622,-1,376966,491563,-1,-1,975465,-1,30983,474339,760649,805783,-1,810559,-1,413018,-1,-1,-1,-1,-1,734549,-1,109218,605838,41026,914764,-1,-1,-1,-1,181740,678047,267559,-1,-1,401539,-1,-1,159194,-1,264003,-1,-1,663431,-1,-1,795853,-1,-1,479463,382632,-1,916976,-1,912355,-1,-1,-1,678946,995531,541379,-1,730727,-1,370279,-1,-1,-1,-1,511403,632069,-1,-1,-1,-1,965179,268061,-1,-1,-1,557559,821195,183089,-1,-1,87342,-1,304608,-1,-1,-1,842523,-1,7658,-1,-1,447110,-1,912630,590723,-1,-1,-1,573243,-1,-1,-1,-1,278656,-1,727913,388991,-1,-1,-1,579059,-1,-1,-1,889139,-1,614984,-1,94494,-1,-1,-1,-1,70552,99460,28815,-1,-1,724903,537552,889563,-1,-1,243897,870889,-1,321548,336498,239336,973753,290569,-1,-1,-1,307087,842241,133553,-1,875604,-1,-1,381601,23905,814052,-1,515408,-1,-1,661406,183114,-1,892333,-1,833872,-1,-1,-1,-1,622592,-1,-1,-1,466115,407638,850135,-1,-1,-1,-1,-1,-1,128974,359788,-1,-1,635125,-1,-1,-1,722773,-1,264170,-1,670157,525692,198591,-1,62666,454934,-1,694107,831143,-1,132979,-1,-1,551930,636107,630872,-1,565696,-1,-1,-1,20260,-1,321739,-1,350482,883065,114441,-1,-1,663352,661162,-1,801969,-1,-1,-1,-1,370621,-1,-1,103038,853926,28198,-1,-1,527824,-1,824829,791239,-1,406645,-1,203082,576564,-1,-1,-1,360247,953634,-1,-1,698909,-1,869596,-1,352000,843027,857497,971377,654334,447796,-1,191451,-1,458722,882999,714056,228794,781030,233357,-1,972606,874932,241462,-1,-1,60705,420995,-1,122909,947305,716417,486364,-1,-1,-1,-1,762147,50286,907883,959659,251608,508522,181631,-1,-1,72733,-1,-1,133043,409516,-1,-1,212459,713185,932225,245771,-1,581223,557397,-1,-1,-1,66992,-1,-1,796118,-1,-1,319654,887759,-1,40249,542717,326372,920259,477601,286282,-1,-1,-1,-1,226413,-1,-1,639607,-1,806610,-1,753140,365665,787188,513435,348341,-1,-1,-1,274668,-1,-1,908886,-1,-1,26952,617790,368174,59369,377562,33998,649592,449531,301075,946732,-1,710339,382917,-1,-1,-1,-1,63525,-1,614717,294025,217815,-1,103089,43507,-1,-1,-1,-1,994638,551824,162502,558441,-1,-1,251873,947756,671695,-1,-1,-1,-1,-1,873940,-1,-1,-1,404289,915160,-1,-1,-1,219892,767943,-1,457530,-1,716691,-1,548736,-1,-1,-1,-1,-1,32841,964767,966535,79179,-1,940514,791614,-1,-1,406025,-1,-1,-1,-1,799933,-1,922548,584244,-1,-1,124313,-1,939581,323417,364995,77630,628843,617126,838342,592256,557426,280890,-1,-1,111723,527460,-1,454197,-1,662998,379523,898031,58994,-1,618864,-1,-1,550040,665751,-1,-1,472642,344574,-1,-1,-1,-1,883244,641808,-1,-1,665642,-1,-1,-1,144870,59489,-1,531910,-1,-1,398632,443466,-1,-1,144015,788667,737086,449519,316138,63231,520769,91022,575295,-1,661568,-1,-1,848547,-1,506846,-1,3231,712624,976344,445114,-1,-1,-1,603269,445220,-1,86259,-1,844138,-1,-1,-1,-1,-1,934982,429266,441384,-1,681976,-1,-1,-1,-1,-1,-1,-1,441576,-1,-1,195691,-1,221917,-1,402056,-1,860428,-1,865270,-1,-1,-1,-1,-1,684551,344682,222443,64280,423325,-1,-1,-1,562329,674155,182885,-1,-1,248521,824999,137281,-1,812288,569090,402030,377860,76586,318899,-1,-1,338684,-1,-1,635945,-1,-1,-1,588107,162919,501069,-1,829401,117178,78659,-1,435718,940642,-1,331499,110804,939872,765485,-1,850335,-1,-1,-1,7839,591439,-1,-1,544325,-1,871643,242494,112709,38277,-1,110183,367494,554449,-1,-1,62688,461618,868670,-1,-1,-1,-1,-1,445993,134006,-1,-1,-1,-1,-1,138174,222938,-1,958222,313682,207047,200251,185214,-1,-1,-1,-1,-1,441151,509056,-1,-1,590236,763573,-1,319334,943264,612281,-1,451707,-1,729001,291897,291618,556389,-1,-1,754554,-1,540328,-1,200642,-1,-1,603382,447215,-1,-1,613404,-1,-1,-1,-1,-1,-1,45200,251147,-1,-1,-1,-1,-1,-1,69462,891746,-1,392117,218747,891187,-1,950165,684991,-1,-1,-1,-1,621360,93091,781254,-1,-1,-1,180611,939558,556429,770562,996706,91520,204319,911425,92623,399736,-1,-1,737354,-1,467166,986508,-1,-1,142993,-1,-1,-1,744788,776371,616648,799539,-1,-1,930524,58747,690340,-1,-1,-1,644646,-1,674612,42064,27879,183088,-1,975918,675661,-1,325588,818980,-1,-1,884495,458090,879147,953594,471837,-1,-1,-1,239402,-1,-1,-1,-1,112934,323357,650378,-1,237018,-1,103863,27084,-1,-1,-1,27682,-1,-1,-1,230558,-1,591102,-1,-1,566399,-1,-1,565457,306380,692548,818132,391824,711625,216908,-1,-1,-1,-1,863408,863915,-1,423095,-1,580490,-1,79780,-1,-1,981563,190655,380954,-1,-1,562212,363134,41657,-1,-1,-1,-1,907985,-1,612426,-1,-1,275639,32228,3276,586296,-1,-1,937815,985321,-1,-1,431609,883060,887321,-1,-1,457360,456406,-1,-1,-1,723610,725750,582194,-1,339058,605767,611000,608983,942967,34645,-1,761096,103199,-1,397187,-1,740591,544376,-1,-1,-1,-1,-1,305895,-1,-1,-1,165464,204272,-1,167959,-1,988629,-1,-1,264755,-1,-1,-1,-1,-1,577745,-1,-1,-1,-1,346730,673815,-1,583711,-1,-1,-1,-1,-1,-1,-1,153682,-1,-1,99520,-1,560076,68752,-1,166699,869993,-1,-1,-1,-1,908870,-1,-1,-1,-1,-1,335986,953978,-1,415446,58359,-1,-1,-1,-1,-1,705452,-1,-1,-1,557282,-1,23385,919181,292597,-1,271364,861131,-1,-1,-1,318762,942257,247127,-1,115936,6579,821907,-1,-1,-1,705680,436171,-1,58690,-1,90612,417280,-1,-1,171326,877952,-1,-1,-1,202648,-1,-1,-1,-1,332136,-1,692235,-1,-1,35701,-1,755100,-1,-1,171002,-1,744282,-1,-1,149815,782147,533014,947381,-1,505366,230993,-1,-1,-1,364266,438981,561466,610661,530462,-1,443206,385500,-1,943070,-1,668734,191109,-1,452860,-1,541966,-1,731505,346419,577296,800552,204908,808715,-1,587649,-1,883453,820647,424312,7641,622244,-1,-1,-1,331097,-1,810891,-1,-1,-1,440098,953865,200514,-1,445760,-1,605048,-1,-1,-1,879584,187983,876100,-1,136893,489345,988551,573777,453723,11961,-1,-1,-1,423264,-1,-1,-1,-1,401413,748749,653029,455923,544202,-1,-1,958214,895322,143419,177936,240278,-1,-1,338030,141138,384248,355347,-1,986196,-1,16623,-1,321827,538675,-1,-1,346626,-1,-1,859905,301907,415848,-1,532515,742911,-1,-1,737555,154027,-1,372487,-1,-1,678172,-1,-1,-1,-1,-1,-1,915567,888804,152995,918198,-1,-1,799419,571134,-1,-1,-1,-1,-1,542435,-1,-1,-1,935898,-1,-1,-1,358938,543114,-1,290400,-1,404299,-1,-1,-1,970723,-1,884573,157892,861940,-1,-1,-1,133604,158361,311699,-1,-1,-1,174485,-1,915420,226752,141507,-1,-1,-1,-1,77223,-1,-1,-1,267670,-1,-1,628612,-1,864164,580859,-1,-1,400934,-1,-1,-1,-1,623740,-1,364172,79053,684030,711710,-1,-1,-1,-1,323412,230956,227644,-1,-1,-1,-1,991578,132002,-1,148553,-1,-1,506371,-1,-1,930156,920036,-1,-1,913625,778232,-1,-1,-1,635031,990000,-1,-1,709960,739404,-1,491949,-1,94262,736358,-1,-1,-1,540798,926129,765475,972736,753697,78134,-1,46120,606722,-1,-1,557944,-1,191856,-1,-1,-1,325359,903339,-1,-1,960092,-1,436030,272878,-1,-1,-1,944159,-1,-1,-1,-1,-1,500714,-1,-1,-1,-1,382591,488445,-1,-1,-1,-1,-1,-1,746145,542841,139180,676923,-1,936586,999070,595647,-1,583847,-1,-1,-1,-1,-1,-1,-1,183958,556547,-1,-1,886805,893932,-1,-1,-1,-1,-1,-1,-1,483827,101191,-1,-1,906288,771057,415548,447892,813843,125670,-1,382399,-1,709856,891136,447437,-1,-1,-1,109184,297311,-1,897948,757319,-1,477868,-1,748680,117125,-1,171901,623191,-1,-1,-1,697491,-1,267576,913514,786628,-1,915034,-1,-1,-1,-1,565081,-1,587415,562437,309397,-1,963600,724642,199978,-1,933326,-1,236084,-1,-1,934007,828906,242194,447105,-1,-1,-1,766106,-1,589415,209941,318082,-1,341340,12465,-1,-1,630144,-1,-1,-1,-1,263883,-1,-1,-1,32663,192879,-1,29667,229132,398897,167608,-1,-1,208482,889740,394818,175741,-1,-1,440352,197885,813479,-1,-1,-1,-1,223053,-1,450337,-1,-1,896650,829253,412821,-1,-1,-1,840833,-1,-1,-1,-1,51206,-1,-1,999675,-1,972518,442426,655381,24593,-1,473670,689263,-1,-1,-1,-1,821295,379412,126956,976515,-1,95685,123137,-1,802634,602499,-1,-1,449287,-1,515136,83438,23511,112495,-1,211132,11598,-1,270420,-1,-1,-1,53524,38584,974641,299408,291195,345373,-1,-1,-1,-1,-1,-1,-1,380629,-1,592731,770874,382965,-1,943973,268676,525200,568072,261364,-1,-1,-1,-1,304857,-1,-1,-1,-1,-1,-1,-1,494503,839735,-1,-1,281288,279332,-1,-1,898565,-1,-1,829599,772373,-1,714811,-1,-1,-1,-1,-1,891175,-1,-1,-1,-1,39885,-1,-1,-1,-1,550895,-1,901127,-1,551166,152255,27232,-1,-1,-1,403316,372131,809101,-1,499234,561559,-1,283559,-1,24974,-1,-1,-1,223066,422287,-1,-1,253217,237375,727129,547438,-1,-1,-1,458771,-1,789956,-1,441489,326274,379093,-1,-1,345262,-1,-1,-1,170651,918984,-1,232346,-1,-1,-1,-1,-1,-1,449377,321888,984840,-1,-1,507938,153159,-1,92168,822820,-1,794949,817700,664691,-1,-1,610577,-1,97022,-1,-1,-1,808593,850693,-1,-1,443124,879926,-1,551334,771200,653549,-1,243053,-1,-1,-1,56643,370031,983417,235743,515818,-1,450489,-1,976713,352010,-1,-1,-1,-1,-1,827419,-1,-1,-1,-1,678089,-1,500305,611256,728276,606103,-1,-1,-1,682380,-1,246667,187235,326759,89000,-1,865308,-1,-1,970869,93025,-1,993832,590413,-1,545803,403369,638339,472621,-1,996183,710217,399603,-1,-1,-1,953045,171905,688428,379061,-1,592820,-1,299582,-1,-1,564864,-1,-1,-1,771141,-1,186289,390700,333166,385711,-1,381358,158718,423577,-1,604182,129561,276187,253245,-1,333251,-1,658741,246531,484683,-1,-1,429939,785012,-1,-1,-1,-1,915472,558306,349172,-1,-1,327897,646528,-1,-1,277409,925393,-1,195718,9288,79699,-1,734831,-1,-1,378886,-1,-1,-1,-1,623060,-1,-1,-1,856265,-1,305598,408103,-1,356333,89571,-1,-1,631464,946661,408437,-1,-1,-1,769117,-1,-1,54547,-1,968524,-1,2197,-1,844939,-1,455408,456167,-1,343689,-1,-1,-1,-1,197023,-1,263960,-1,-1,-1,957322,-1,-1,-1,173554,-1,625464,-1,-1,-1,-1,521929,-1,880080,-1,619407,-1,22804,-1,-1,728454,764586,525876,-1,-1,78730,-1,124417,-1,-1,-1,-1,132452,-1,8295,-1,-1,550493,24899,-1,-1,-1,-1,49117,-1,571894,-1,66425,-1,585595,-1,-1,-1,271151,-1,-1,329987,174996,260360,806867,256402,-1,-1,-1,594105,835141,758016,376158,283908,199521,527884,151462,-1,233406,670627,-1,608492,774743,-1,-1,452276,-1,-1,-1,202407,-1,350358,511210,-1,312614,-1,478123,-1,-1,-1,361976,-1,-1,24871,191935,97817,922542,791082,90024,390467,-1,-1,681968,531275,157537,463386,-1,867216,22251,-1,360832,638501,-1,-1,-1,736817,-1,-1,911192,-1,-1,299197,844253,149379,-1,762990,-1,503219,381873,780093,-1,113262,-1,-1,-1,703741,677364,637224,-1,-1,-1,-1,-1,-1,911576,408513,979997,-1,84155,739726,-1,-1,-1,693957,3641,-1,659721,-1,504628,-1,-1,478824,-1,371809,-1,-1,-1,656770,498594,-1,-1,378015,283872,-1,205429,-1,703430,259618,410790,-1,508058,-1,382599,198474,138600,-1,590412,650613,713799,-1,991948,-1,992231,-1,-1,66382,723284,844949,-1,531030,-1,-1,731327,711157,143994,68017,-1,-1,427622,-1,-1,905807,310758,-1,-1,-1,-1,-1,996696,564624,216558,147979,-1,-1,-1,-1,631213,-1,598198,-1,-1,-1,48278,-1,792899,-1,-1,-1,764377,-1,-1,591866,784102,887817,442224,-1,-1,-1,793243,64856,205382,-1,-1,29721,557145,-1,826554,-1,-1,-1,-1,474437,-1,727148,311030,143327,-1,480114,-1,47058,-1,157483,-1,-1,-1,-1,39297,-1,246557,-1,408296,427055,-1,298699,-1,967730,-1,354812,640990,-1,-1,637027,206119,-1,205876,862902,-1,-1,130113,-1,979525,-1,968878,847309,-1,-1,-1,-1,-1,373418,973991,747660,402728,-1,-1,-1,-1,304166,-1,-1,-1,-1,936030,-1,591398,829794,-1,-1,-1,869238,-1,79998,613117,-1,-1,117800,-1,175612,-1,-1,-1,-1,882703,-1,180492,-1,960237,578764,-1,700768,279223,-1,597042,-1,-1,599100,-1,-1,-1,-1,-1,929587,714084,-1,166260,711646,204613,-1,-1,793753,-1,938855,-1,-1,356404,-1,-1,184500,230984,-1,-1,926213,873856,536004,-1,108457,808061,-1,840969,768901,872870,689575,-1,898467,632876,-1,-1,917209,-1,-1,38630,217572,778048,611417,4308,983733,-1,-1,-1,12918,-1,311405,-1,652416,894888,-1,677772,-1,932293,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,377469,-1,76940,512401,561441,-1,192552,766503,597097,625534,643682,378841,213716,-1,-1,579979,41413,133664,-1,-1,-1,-1,-1,563995,-1,-1,61025,-1,315121,554839,528704,217617,377146,-1,-1,129847,-1,514021,889549,-1,572627,5249,-1,47194,827127,-1,35933,327758,300775,-1,165023,42621,-1,-1,149555,-1,-1,-1,138939,-1,-1,855627,-1,86723,173235,698932,268824,-1,181281,445250,-1,587253,419847,242956,835441,-1,214902,-1,-1,266113,-1,46340,322998,510927,-1,-1,225431,-1,-1,235894,-1,-1,-1,-1,413843,21160,278710,-1,399748,191757,877994,852334,247550,-1,725442,30221,579801,-1,425014,726922,-1,313256,-1,-1,-1,246175,743928,868778,-1,85578,130020,163358,-1,644516,-1,-1,-1,-1,704855,-1,-1,136564,93522,780395,-1,-1,444491,-1,-1,-1,661708,-1,264790,-1,827045,-1,666690,837440,-1,95316,237610,189999,799639,-1,-1,509519,-1,-1,-1,-1,89329,-1,810170,-1,266158,68290,920019,-1,-1,-1,-1,661448,222077,983005,-1,-1,-1,127829,418929,-1,739339,-1,50506,-1,378539,270917,-1,210144,392510,304119,-1,-1,448191,618476,727402,849228,-1,-1,577548,-1,989491,-1,-1,977296,-1,876149,-1,-1,58711,-1,-1,459303,134533,-1,-1,915384,-1,-1,-1,-1,-1,745370,413424,-1,918273,849928,-1,-1,-1,-1,283692,866806,-1,206476,-1,131183,548499,40469,-1,855159,-1,-1,-1,764434,-1,252913,945658,-1,-1,-1,-1,-1,524781,-1,671762,286549,165668,-1,50657,-1,403442,-1,-1,522766,749323,917183,649507,-1,947709,737935,821005,-1,-1,-1,270875,-1,375330,280015,-1,-1,376824,940731,184873,580031,-1,-1,963245,-1,-1,324233,-1,-1,417711,-1,504070,-1,892110,-1,265458,32981,948711,139893,-1,676452,167331,-1,-1,529969,-1,-1,-1,865384,-1,-1,719258,350180,367612,765155,-1,813442,19152,-1,-1,-1,516506,-1,336438,418867,-1,-1,362926,-1,-1,189037,388893,-1,-1,680895,-1,841693,787565,595091,-1,-1,713459,-1,937588,286234,699352,-1,-1,665291,556395,-1,332387,-1,329905,288059,877318,-1,-1,101202,-1,669382,-1,62836,-1,205178,526575,-1,187055,980802,-1,-1,-1,-1,-1,-1,580871,-1,-1,884478,96429,-1,-1,299180,126915,651402,890785,714524,272026,897337,417812,-1,-1,-1,433205,598497,814083,822518,280562,-1,305118,521716,898368,-1,119112,-1,-1,-1,-1,780571,-1,-1,101095,227723,-1,798298,-1,-1,-1,-1,-1,179094,812536,297077,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,974334,999922,685383,580396,-1,706719,764206,-1,-1,-1,237937,576692,794092,680712,553966,816429,-1,442466,-1,-1,877998,549007,705855,-1,761625,-1,984219,320890,966904,-1,357261,-1,473690,425428,-1,129073,889827,650287,60103,472289,-1,-1,207890,-1,584626,127012,893926,-1,209258,87258,-1,650772,772601,-1,628316,86167,660818,219182,999730,994902,41886,47153,-1,679065,-1,-1,-1,669432,-1,406395,-1,-1,205559,-1,236630,-1,144144,584092,-1,-1,-1,-1,-1,-1,835131,-1,-1,368685,-1,62984,332570,675014,-1,790080,-1,220731,-1,-1,495575,638996,-1,206942,-1,-1,-1,-1,-1,118336,-1,-1,532135,960753,853876,-1,-1,-1,822315,-1,-1,-1,-1,768433,-1,397063,67082,481973,260062,91411,56033,543764,620190,412288,-1,130058,-1,235051,-1,612935,396864,626995,598204,730281,154336,307697,781127,624842,-1,285585,927734,493722,-1,198520,327570,-1,-1,773357,743056,119897,-1,-1,564050,997577,249237,601706,270450,-1,212058,116626,731679,671423,-1,-1,579565,425157,794005,-1,954130,829271,700474,745887,-1,-1,-1,-1,382932,736575,-1,-1,-1,916362,761485,914348,874744,439222,641769,-1,-1,-1,-1,388004,853126,974934,-1,108802,296002,-1,-1,-1,552900,-1,232516,875956,-1,870429,-1,796442,-1,97033,-1,323751,962827,998248,-1,-1,222723,-1,642395,-1,-1,-1,-1,925135,-1,-1,-1,-1,-1,364612,-1,663770,422634,272791,13815,23274,-1,994519,-1,-1,-1,90268,465732,941286,-1,-1,-1,-1,-1,-1,638012,-1,8188,884100,912385,-1,-1,388704,375079,617189,459658,858575,944805,-1,407840,662923,651428,483875,-1,-1,944516,64885,80153,330798,-1,-1,-1,-1,-1,-1,733606,384151,466290,-1,972109,-1,124861,-1,-1,165127,-1,299483,-1,-1,-1,974,-1,642375,674908,122469,469790,596005,-1,212080,397310,-1,778657,495060,344058,157048,481945,473827,-1,-1,-1,954093,606141,-1,-1,96662,822150,255102,497584,-1,-1,716495,-1,-1,868335,731731,549465,-1,-1,-1,969622,-1,937391,-1,-1,-1,8204,-1,-1,554120,-1,707909,104932,-1,-1,-1,56781,919176,290987,823128,985463,241778,275447,-1,-1,-1,745776,88699,75785,-1,395848,598306,-1,-1,475090,-1,-1,892924,748106,692093,-1,869847,421700,-1,777298,-1,-1,-1,921878,-1,-1,400955,-1,-1,-1,473574,115965,609611,-1,525488,-1,803069,665375,150160,-1,857985,72624,172058,-1,154162,521145,-1,155489,904909,-1,-1,913454,-1,-1,-1,808532,-1,-1,731806,-1,-1,-1,390596,44587,-1,-1,-1,-1,-1,-1,-1,-1,179266,169700,445239,-1,-1,969800,941076,545205,-1,-1,35119,-1,-1,10017,65089,-1,-1,894046,-1,405298,959184,-1,-1,-1,-1,861673,674060,-1,-1,394821,124831,861833,431011,-1,786222,496004,980338,-1,-1,688360,-1,844988,478129,578860,-1,777366,690002,130901,-1,358849,-1,326507,-1,352836,-1,-1,-1,33784,496270,63221,838349,313953,982950,-1,374483,251297,-1,102080,360833,676734,-1,438980,730542,797460,-1,-1,-1,-1,-1,-1,242517,927198,676873,559141,562967,-1,812809,-1,-1,-1,-1,365403,66757,-1,496883,-1,-1,-1,822519,-1,-1,109901,22193,20933,332593,998935,545783,989979,-1,316361,-1,-1,447276,966053,261765,-1,355092,-1,44967,-1,447035,709726,532463,-1,642000,588213,668598,-1,-1,-1,666831,5732,-1,-1,-1,-1,-1,861134,682011,-1,364458,-1,-1,-1,-1,417655,726236,293136,-1,29415,-1,319076,-1,-1,366836,-1,-1,616307,333230,-1,-1,-1,-1,886359,415789,-1,686619,-1,-1,185719,301926,-1,-1,-1,-1,114176,-1,829790,-1,282003,965825,651035,103302,137256,410779,185867,-1,984172,-1,-1,59075,598251,797210,719582,341021,-1,478477,646849,989978,392533,689814,-1,-1,185854,-1,-1,-1,152960,-1,421358,-1,-1,804799,579081,558401,853967,-1,-1,-1,487443,777016,483041,894724,532475,-1,105631,623100,863926,-1,-1,911761,-1,-1,882276,525788,191501,-1,209973,-1,654794,-1,-1,809775,979381,565019,-1,324328,-1,970461,-1,-1,-1,-1,-1,426255,-1,831239,859225,528117,-1,364950,-1,-1,53149,323989,-1,51058,-1,-1,439831,695989,179800,400482,334662,-1,-1,843085,-1,-1,-1,-1,-1,-1,712895,950670,810789,876399,-1,91917,-1,-1,57311,678026,-1,14454,-1,593963,574925,-1,231637,23239,917890,775632,-1,658784,152974,-1,123990,59391,-1,743637,-1,19256,758487,-1,90547,965170,149673,798919,611185,-1,160721,313629,-1,-1,-1,118191,652580,734086,-1,506956,-1,-1,730876,-1,-1,-1,460917,815634,-1,-1,-1,83629,-1,827358,66701,-1,-1,572663,-1,215414,-1,-1,970943,-1,-1,525957,748231,-1,-1,197042,-1,-1,-1,-1,129060,197981,-1,761131,986315,-1,316544,576651,484365,645198,-1,398636,838126,819420,570377,676973,-1,794300,-1,48981,328080,-1,-1,-1,-1,-1,492281,154276,-1,-1,-1,-1,-1,579765,31588,422325,297394,-1,670056,739676,955350,592026,712963,246858,845113,535430,-1,389573,-1,-1,-1,-1,580820,-1,388646,-1,456273,637210,699451,965267,683723,-1,130484,105197,-1,-1,-1,999983,-1,829827,684097,-1,732575,-1,190946,54674,-1,842879,226203,803759,-1,-1,82127,110246,-1,-1,-1,571136,781498,151207,193473,357210,-1,-1,-1,721926,936714,662735,554639,-1,-1,-1,519049,362935,-1,-1,-1,548888,-1,-1,708819,100721,-1,-1,-1,-1,-1,-1,-1,830050,-1,-1,441765,780321,425450,202878,174611,-1,-1,-1,-1,686476,738245,754384,140284,54265,212107,407126,-1,310351,-1,387408,-1,-1,266509,-1,697147,144207,402663,641670,727349,51253,206892,-1,-1,923409,-1,-1,73002,-1,377532,-1,644482,-1,605470,811011,461923,-1,-1,-1,-1,221898,391064,-1,893591,-1,674969,-1,775735,-1,789208,-1,601641,833028,83724,756189,-1,653938,880404,-1,727693,359558,-1,156409,-1,526091,-1,-1,281404,-1,-1,239629,497081,-1,806633,759644,-1,692517,118991,940217,708697,614183,-1,69140,463480,-1,146133,801890,510415,-1,359951,-1,935040,-1,619705,-1,904398,-1,-1,-1,824644,999054,766648,-1,-1,-1,-1,-1,-1,-1,637614,463568,27163,-1,551303,562792,-1,-1,777709,2425,-1,790144,437386,195537,518035,173665,-1,107905,-1,800947,604692,463439,636418,331039,-1,-1,694804,-1,-1,-1,-1,-1,950493,489850,477535,-1,958533,-1,-1,711358,627222,478482,-1,-1,783532,-1,-1,932451,-1,-1,756546,-1,604726,690010,-1,-1,6877,-1,-1,870854,552995,-1,-1,463833,850079,-1,390555,586466,-1,805046,305576,59833,-1,-1,996990,-1,-1,297051,-1,676139,-1,-1,-1,714480,-1,576143,877502,382336,-1,775086,717060,180404,-1,-1,-1,-1,411361,853630,930527,-1,852446,-1,369679,-1,-1,781679,712931,-1,175998,-1,-1,-1,-1,844284,-1,130171,380926,-1,268923,-1,212573,411584,-1,603298,-1,681857,164154,411026,-1,109393,-1,-1,-1,742735,-1,401784,11802,980884,-1,56266,896488,-1,-1,820117,-1,700355,938684,87418,511090,821105,467667,-1,-1,937772,422533,226254,29594,-1,44513,-1,-1,-1,99381,-1,-1,492350,-1,599049,195280,-1,406499,569352,-1,46582,341101,-1,168562,238931,-1,120836,777417,-1,-1,25269,541358,204701,-1,595576,-1,-1,-1,418617,341780,853186,721419,242599,623323,-1,-1,-1,-1,-1,513974,-1,860888,540618,455733,774189,324772,-1,739131,28735,808426,-1,-1,602538,-1,579173,-1,765636,-1,-1,291527,-1,839756,695668,17431,-1,744867,-1,-1,896898,-1,238160,-1,-1,-1,898536,466359,-1,851931,101781,409979,662713,-1,-1,668935,671710,-1,873464,304761,275935,-1,-1,6924,-1,-1,-1,983756,896843,-1,786907,884034,637362,532228,888174,-1,-1,-1,-1,117789,933684,445560,537681,-1,885599,-1,700002,396664,-1,-1,-1,692586,162747,-1,993448,-1,14462,587852,256860,8739,487592,711285,501715,843162,350998,827125,433805,61071,-1,-1,956178,904367,872803,-1,789785,-1,-1,235883,-1,862685,-1,843878,619600,-1,-1,-1,-1,130862,470295,205321,-1,247741,-1,-1,998091,-1,-1,743238,479870,14641,181402,-1,-1,524641,-1,464510,140582,66727,-1,-1,-1,836159,-1,473783,-1,-1,-1,298445,-1,-1,-1,-1,781544,499679,-1,826979,-1,577188,-1,72638,889078,554585,585333,-1,277202,-1,-1,514393,806341,690248,133552,-1,87447,797794,992045,-1,-1,-1,-1,-1,742813,231461,-1,-1,-1,-1,33513,850510,-1,-1,-1,520882,912590,-1,733266,679372,-1,-1,-1,-1,-1,454825,-1,921396,302762,-1,-1,-1,240549,256057,117597,705333,-1,458367,-1,73699,-1,356758,58675,559488,701662,-1,380919,879995,528572,-1,27327,300965,240255,-1,355461,-1,-1,16405,-1,-1,-1,-1,-1,-1,-1,-1,510237,-1,-1,-1,-1,333052,-1,529668,231616,54345,565197,-1,-1,-1,597247,-1,-1,-1,641656,297379,-1,-1,-1,685019,-1,-1,839770,739103,907591,-1,401565,-1,-1,855048,105775,58531,-1,798253,-1,-1,267603,-1,964867,-1,-1,790888,157198,-1,-1,-1,-1,-1,420217,-1,934260,-1,364461,486628,270220,620015,-1,-1,946727,101974,-1,-1,837256,426085,400024,-1,531704,-1,894206,-1,-1,867584,349363,-1,220727,662076,-1,664878,251391,136729,-1,-1,-1,-1,719646,264044,337450,-1,983786,426640,-1,187036,-1,-1,160359,-1,-1,-1,892756,699773,670159,163352,192999,-1,560236,177893,-1,147561,660377,-1,645290,-1,135896,-1,384881,904732,224360,-1,-1,-1,781289,-1,19637,12405,-1,288566,43709,-1,-1,-1,534596,334738,944195,715973,-1,-1,317157,-1,-1,-1,-1,-1,-1,983146,-1,498618,-1,-1,-1,706793,-1,-1,70189,931114,-1,877663,-1,-1,-1,901098,683587,899516,917818,-1,-1,81528,-1,-1,-1,-1,-1,562211,900079,-1,695637,774834,-1,352539,389352,-1,845250,-1,998797,-1,266276,-1,-1,-1,-1,258223,807303,583278,109235,-1,630010,139102,225053,-1,275885,817347,-1,-1,45043,87215,824044,231107,-1,-1,891754,826848,-1,-1,-1,-1,-1,937040,-1,-1,-1,-1,-1,354180,612116,-1,369237,667050,-1,814283,477870,-1,328543,803289,284077,-1,-1,-1,-1,233025,-1,390722,303366,-1,60328,-1,-1,-1,-1,491501,-1,637074,-1,903998,919306,251688,-1,990556,653925,-1,-1,351074,149206,223679,40625,250706,-1,669412,476641,762021,338650,-1,-1,-1,669383,-1,-1,558670,-1,584855,933706,811000,975693,503530,954999,-1,-1,954664,9920,-1,-1,464643,-1,282971,-1,758491,2492,823014,28902,-1,-1,-1,-1,350799,964205,372733,840122,205104,-1,-1,338992,258647,-1,365583,-1,-1,-1,-1,-1,-1,-1,-1,723847,134808,714502,978961,-1,-1,-1,496392,-1,-1,974960,-1,-1,-1,884996,-1,-1,532640,-1,-1,990867,-1,-1,-1,744194,-1,-1,-1,38085,-1,746318,-1,182947,-1,-1,-1,-1,534791,-1,953653,693981,59699,869159,10078,-1,30285,839220,98153,684648,782524,-1,360354,-1,-1,-1,-1,-1,714140,468572,109082,126122,156338,-1,-1,762115,703191,405354,720150,588186,679175,631754,617987,-1,271451,210349,-1,-1,538888,919415,-1,742122,430517,748382,-1,-1,66745,-1,468110,203752,-1,147411,697285,985384,810015,-1,439988,757851,812704,683393,307064,923933,649768,301539,515462,-1,370215,-1,80051,998583,800350,-1,-1,979311,-1,-1,133041,-1,-1,-1,-1,-1,513009,949375,987966,-1,964878,-1,360070,-1,179387,752148,199462,761473,-1,242555,366440,-1,893260,-1,-1,757110,383700,-1,-1,-1,-1,-1,-1,944864,-1,-1,389730,506029,-1,-1,-1,-1,-1,-1,884681,943205,440489,-1,-1,379261,-1,-1,-1,-1,-1,8177,29330,54653,713488,-1,-1,806925,752197,499005,10983,-1,493816,86106,178704,476547,-1,-1,215378,-1,380775,-1,-1,-1,-1,353538,-1,-1,-1,-1,-1,518365,-1,525072,412566,197869,-1,-1,530877,617099,-1,34189,410621,-1,867741,523273,-1,443860,248604,-1,604709,965219,929422,-1,812875,-1,203744,184152,-1,-1,-1,-1,-1,305258,-1,936496,-1,619163,978756,-1,-1,835217,-1,57795,-1,371716,518063,-1,-1,812364,-1,505636,-1,500560,754377,679197,-1,-1,-1,817790,398989,-1,-1,-1,232265,464725,-1,719058,570745,237774,-1,-1,964093,-1,499056,-1,-1,-1,-1,-1,532092,742437,-1,900624,180212,950131,908297,153200,-1,931659,-1,-1,77324,-1,619554,229066,-1,839764,963871,445258,368370,-1,27956,-1,-1,654647,323209,-1,-1,-1,926656,-1,913862,702924,-1,-1,123807,-1,599948,308508,-1,-1,-1,888719,-1,659761,-1,903264,67691,805284,155567,-1,-1,-1,33170,661228,-1,-1,-1,-1,932740,1617,-1,535203,-1,-1,-1,-1,-1,656147,5735,-1,-1,607111,-1,365246,257720,143741,114494,-1,175839,-1,317534,-1,-1,-1,949611,539184,200759,-1,-1,67174,-1,-1,785666,44633,750231,-1,-1,506974,-1,-1,961509,605958,-1,-1,-1,-1,-1,-1,-1,360054,-1,-1,-1,393448,-1,-1,31048,-1,10421,869049,-1,613312,343560,399119,186652,758913,623238,728456,454569,-1,-1,33280,280903,692059,176370,390231,-1,-1,-1,311173,-1,90303,902150,-1,733261,-1,73894,649118,809348,-1,-1,-1,-1,-1,-1,-1,149090,973404,-1,674063,864363,674956,447692,689581,-1,717583,607082,-1,-1,-1,-1,-1,868281,923541,-1,938335,705185,337369,684943,279029,-1,-1,707760,979228,-1,765435,753584,54501,-1,573774,284105,-1,163425,929109,-1,913199,-1,-1,-1,224226,-1,-1,999582,-1,-1,835442,933595,-1,131614,458052,404907,-1,-1,-1,529959,261815,823569,367061,805802,436378,-1,-1,263860,484705,-1,362674,-1,621994,-1,-1,-1,913229,367189,420098,-1,-1,874446,644731,3463,-1,-1,175524,668597,833429,-1,606944,112311,-1,-1,514711,-1,-1,854918,-1,740644,-1,618854,-1,-1,480285,299512,286227,495693,858026,711071,343918,-1,104815,-1,997181,-1,710292,-1,-1,-1,-1,874755,-1,-1,971723,995324,656168,478872,524044,-1,-1,372676,-1,579137,743876,299997,927742,-1,426234,-1,694298,-1,-1,414599,-1,323980,-1,-1,823393,589446,-1,84281,-1,-1,-1,916474,284220,-1,878294,-1,-1,694969,360603,-1,-1,-1,-1,904342,654474,183675,-1,106265,801320,-1,392201,-1,668826,-1,311197,-1,718924,921441,-1,71086,743756,-1,613816,-1,669232,-1,805455,-1,604127,-1,632590,-1,-1,-1,152512,-1,567210,-1,-1,-1,-1,293142,259114,812047,-1,187887,-1,440676,-1,-1,-1,160803,181437,993791,759353,766946,962915,-1,-1,-1,92109,-1,-1,469130,274857,-1,333541,112726,-1,985726,-1,520289,780141,-1,524028,-1,249401,-1,-1,-1,962584,838235,-1,-1,871267,939603,-1,-1,-1,-1,554253,855324,-1,708717,-1,466552,428681,-1,2110,-1,827315,135756,-1,296045,162193,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,588798,385707,479294,228762,8618,-1,684556,784478,-1,-1,676994,330622,570406,616865,455869,-1,804468,-1,212796,-1,-1,-1,41753,-1,-1,-1,-1,447867,-1,262250,550982,565704,-1,977831,265909,-1,394784,-1,356095,118909,455645,345462,-1,841769,714051,28159,-1,48010,-1,-1,463691,-1,-1,-1,-1,56557,423398,-1,-1,-1,476249,-1,650605,788166,957973,-1,11731,-1,-1,656333,-1,468891,432305,-1,764623,612861,460473,-1,46053,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,814404,255576,-1,667918,-1,202426,-1,-1,-1,-1,628161,-1,-1,-1,324557,-1,-1,-1,212371,578203,144807,941771,-1,-1,-1,-1,989546,-1,633415,-1,-1,887235,146110,440232,528982,683531,-1,87202,282151,-1,667279,-1,978851,-1,956210,-1,953028,853183,495316,-1,-1,-1,317641,60538,-1,-1,442495,-1,-1,-1,122164,195950,589649,-1,874409,-1,311067,-1,-1,-1,302378,461932,-1,780998,796997,225911,-1,665523,575399,375768,-1,781200,52649,-1,-1,-1,-1,147505,-1,905331,572709,-1,-1,178295,-1,541281,-1,220580,-1,719810,432192,719681,-1,-1,94415,-1,-1,-1,-1,-1,297191,-1,637958,-1,650021,-1,47630,-1,864348,-1,997735,-1,-1,-1,-1,-1,942259,-1,-1,450682,-1,909261,721046,153496,158483,-1,144371,-1,-1,700399,-1,908377,-1,157308,106100,80981,31744,688823,128622,189761,-1,-1,-1,-1,361857,706483,374184,990915,229690,540500,-1,-1,-1,-1,-1,822578,341450,144179,-1,-1,-1,98950,45040,463643,-1,368045,458583,-1,-1,-1,-1,824421,164873,-1,-1,241553,272951,515845,701128,-1,784078,-1,302159,230013,142949,29022,-1,55761,706437,-1,-1,-1,574322,-1,349164,-1,236738,-1,-1,-1,-1,-1,-1,658953,391629,13662,-1,857925,448217,-1,964670,854226,-1,-1,691717,729296,-1,862300,990305,-1,-1,-1,-1,929727,676229,159746,-1,656661,-1,854297,538454,-1,308285,861646,-1,-1,-1,771520,945135,530382,753982,588448,94302,-1,857475,115917,-1,336824,-1,-1,-1,484172,433916,-1,-1,-1,-1,543243,-1,-1,37753,-1,100640,-1,888970,351186,759095,966338,834377,-1,-1,-1,172437,937896,-1,734520,-1,-1,607654,-1,-1,14626,850549,-1,588313,-1,-1,235297,693555,-1,206721,884309,799176,-1,422785,-1,-1,296346,550587,500953,522765,-1,-1,-1,-1,407316,598347,522057,-1,334102,-1,-1,-1,515201,-1,720152,-1,318510,-1,-1,712707,876484,-1,84267,-1,157512,250561,-1,-1,167051,-1,-1,-1,-1,-1,736436,-1,-1,-1,595090,686870,-1,206672,-1,313845,357089,-1,431709,74162,-1,215384,14148,382328,922376,531613,861807,277208,-1,-1,524395,-1,164427,626972,301287,778480,452630,-1,-1,159723,-1,-1,-1,-1,-1,-1,117140,940499,94046,-1,989010,-1,375972,-1,28293,-1,150136,-1,972353,-1,39721,-1,279737,-1,-1,679042,720018,-1,758240,-1,-1,15385,59225,-1,-1,642438,-1,716059,-1,-1,479741,215137,699058,788358,662356,-1,-1,-1,18064,-1,-1,260645,-1,154795,150393,588119,519300,917564,951475,710133,746516,-1,919101,-1,137458,93051,-1,-1,-1,-1,-1,-1,-1,304223,-1,73613,-1,467502,800055,892500,-1,935414,-1,402042,25038,585845,99924,-1,-1,936127,-1,-1,603910,-1,-1,-1,-1,716499,-1,-1,-1,360161,-1,159484,344460,-1,142649,-1,-1,346168,-1,589077,-1,-1,613796,212081,-1,-1,92641,-1,-1,-1,-1,-1,-1,-1,395753,539754,279389,-1,717260,-1,-1,-1,64389,56309,3804,940188,655939,-1,-1,300017,955768,-1,-1,499544,-1,535451,-1,-1,443039,746753,-1,619873,-1,-1,-1,973253,-1,176941,-1,420440,728120,451559,593,-1,-1,-1,47029,-1,-1,671612,351930,-1,683557,677306,779271,-1,877905,-1,-1,-1,-1,502011,910160,-1,-1,693417,-1,-1,-1,-1,-1,175892,142877,-1,58601,-1,-1,-1,-1,-1,-1,-1,155883,-1,73683,-1,-1,-1,-1,327627,53938,597603,-1,-1,36147,-1,68670,-1,549376,30682,-1,903684,603093,826439,-1,243139,286574,-1,707790,-1,-1,4625,809232,-1,-1,-1,11220,735856,-1,830247,420560,141380,-1,912931,-1,335306,206115,850050,-1,236693,407833,298678,798559,-1,393484,266779,-1,-1,-1,-1,235175,545073,758242,-1,-1,118754,-1,-1,-1,-1,49358,-1,-1,531341,-1,945830,807157,469363,199434,19276,-1,409966,-1,908193,229627,953480,579370,-1,465768,11317,160250,652224,-1,251277,404788,-1,925621,-1,-1,621720,30826,-1,-1,-1,105525,858309,-1,191310,228720,30839,-1,436748,-1,-1,-1,-1,-1,-1,735827,796147,693367,-1,29185,-1,736025,-1,-1,129115,429591,-1,662771,187601,916485,-1,830171,-1,-1,638056,-1,877183,470591,57997,776981,-1,33300,-1,-1,251893,-1,-1,212403,-1,401721,-1,-1,444785,470589,995283,-1,-1,-1,-1,-1,-1,-1,334816,663699,-1,-1,138543,-1,867777,539219,-1,-1,791510,-1,176577,-1,532970,-1,-1,72860,-1,18243,-1,30497,-1,-1,683328,-1,-1,-1,-1,262347,731739,220386,-1,-1,-1,19693,536094,-1,133785,791903,693390,581187,-1,-1,78545,-1,957453,-1,214096,-1,-1,515620,-1,-1,-1,-1,-1,-1,-1,955176,513114,929235,260441,-1,-1,861058,244150,83310,257562,-1,491196,-1,594529,389659,-1,309096,-1,463354,-1,39129,-1,-1,36464,-1,-1,-1,408037,-1,-1,632394,982668,650415,451919,796972,-1,515979,425436,306392,319469,-1,759449,3828,380554,718836,789763,-1,197214,979991,367760,-1,-1,-1,-1,995170,-1,-1,764182,609391,-1,-1,146873,963160,-1,-1,-1,-1,-1,848495,415537,-1,221412,61091,391059,405205,-1,-1,272875,-1,-1,482012,-1,-1,-1,-1,140968,-1,-1,-1,674858,393068,-1,-1,510475,-1,-1,-1,-1,282710,-1,336605,-1,-1,-1,-1,-1,311306,686455,517145,315176,737491,-1,-1,-1,-1,575829,-1,-1,-1,995451,63026,972049,869932,385681,73653,-1,-1,737821,642714,317606,132969,899066,-1,-1,448550,-1,107652,581700,-1,204956,474154,-1,217649,30889,39347,-1,-1,-1,-1,812060,-1,748053,-1,427878,-1,372228,-1,233741,-1,-1,823604,-1,49281,549412,933193,-1,-1,860293,632055,632018,258548,-1,-1,201238,885141,247093,-1,-1,-1,994073,-1,674980,-1,-1,148794,-1,216955,807209,-1,112187,-1,-1,-1,624554,-1,941875,-1,595082,-1,3563,-1,673726,252616,376680,996388,601473,555347,687391,609419,892613,-1,655767,-1,627602,-1,346172,927258,-1,-1,186237,1168,201724,-1,656543,-1,887152,512534,742646,742132,714106,-1,796566,-1,66458,-1,-1,-1,562759,840761,-1,464999,216704,131872,289426,-1,361174,-1,-1,784443,351417,517137,-1,-1,-1,493604,913535,866829,308129,69243,775057,-1,148574,482827,405987,980650,-1,-1,-1,-1,-1,597556,382804,-1,596969,-1,67902,748243,-1,43404,-1,382698,-1,-1,670288,292366,533851,360695,-1,333858,886784,466034,-1,-1,245468,143443,719806,334775,-1,-1,529660,336878,-1,525613,28672,-1,58067,-1,991094,413760,-1,458222,781539,680761,129972,964320,-1,582559,266684,333081,-1,546689,831185,131155,793130,-1,477357,-1,-1,424869,161152,658524,112342,-1,591135,-1,-1,456716,-1,-1,323938,999935,-1,-1,-1,766622,862112,-1,64904,576347,714364,-1,187197,-1,-1,397216,-1,-1,-1,473535,-1,-1,-1,-1,-1,-1,68858,516881,-1,-1,-1,191013,107584,-1,-1,-1,-1,831054,833363,-1,483740,-1,-1,-1,933123,325022,-1,-1,-1,383524,-1,-1,350843,-1,-1,-1,-1,652963,-1,-1,821230,99128,608051,-1,873206,-1,832349,725100,708803,260053,851062,989274,-1,-1,632810,528595,-1,-1,792775,712465,-1,-1,-1,-1,746443,938998,-1,-1,-1,-1,670200,-1,913722,292565,-1,807196,995703,790137,-1,935160,-1,-1,-1,-1,947631,-1,-1,973797,-1,770970,359387,92050,-1,284840,-1,-1,697526,-1,920247,-1,-1,-1,380026,229501,-1,-1,-1,107034,521840,-1,-1,230896,-1,-1,-1,-1,-1,-1,525946,847856,-1,899276,351163,800857,278102,183457,-1,-1,-1,959116,350591,-1,597257,-1,-1,775218,-1,-1,167762,-1,-1,-1,30331,785709,161839,671732,885655,184991,761750,-1,479942,818959,-1,123256,-1,871607,612696,-1,-1,256414,636930,289993,-1,609263,-1,-1,-1,243209,619998,-1,217093,792721,-1,-1,137892,745279,-1,-1,877534,595682,-1,-1,-1,-1,632002,-1,-1,303719,-1,9043,-1,841128,-1,-1,895075,324793,-1,842619,-1,181342,291857,-1,355341,825271,191074,-1,130200,687999,269134,-1,-1,-1,-1,-1,7782,835277,-1,-1,941447,604826,612198,-1,-1,319097,-1,720925,-1,889434,-1,882447,601700,-1,371991,619530,323565,-1,23091,571237,807331,226487,-1,-1,554249,357836,-1,-1,-1,-1,671112,-1,165410,-1,10279,-1,531782,-1,434727,-1,701788,-1,969580,799986,535135,-1,298390,-1,169323,-1,-1,-1,-1,963202,568103,432858,-1,-1,-1,39269,-1,875693,-1,-1,70436,-1,196408,283646,-1,-1,780500,291473,228131,192291,-1,169733,-1,965223,-1,518377,-1,425049,-1,-1,-1,-1,848960,-1,-1,864946,-1,-1,57766,478749,909722,599516,-1,942992,556576,985797,-1,257334,-1,267336,390215,-1,-1,329164,-1,-1,9526,618737,-1,-1,-1,-1,-1,253495,117409,926678,-1,831671,-1,-1,-1,-1,-1,-1,-1,-1,319358,638679,-1,312636,153069,-1,281121,862448,624124,-1,384517,-1,-1,-1,189668,537034,-1,805298,-1,532489,432608,456220,-1,942583,-1,657333,217389,685219,-1,937476,785706,-1,174371,-1,-1,-1,863178,769293,906309,-1,-1,201015,975210,113958,412096,-1,-1,863252,-1,837643,-1,560563,-1,622127,-1,-1,-1,-1,-1,440112,797044,233072,568876,-1,-1,-1,-1,682831,-1,716153,607362,765517,-1,908047,3662,344721,611636,-1,-1,461166,442370,903987,-1,-1,-1,-1,-1,268523,-1,-1,-1,-1,248171,5849,543504,-1,-1,-1,238602,467944,-1,-1,977718,-1,776209,853907,378061,895198,649406,-1,-1,882914,89258,-1,-1,-1,492665,-1,-1,689067,-1,-1,-1,823454,210309,-1,739094,-1,838988,621956,-1,-1,-1,-1,515517,385028,4747,258776,-1,292513,-1,349852,-1,-1,893711,-1,-1,339025,-1,-1,-1,-1,64945,-1,957815,261442,181165,-1,-1,689780,-1,985945,-1,387435,-1,-1,-1,-1,-1,310719,367255,623637,-1,-1,-1,-1,862688,-1,379679,233704,-1,537400,-1,-1,-1,479774,-1,-1,452121,724900,-1,-1,635469,-1,755651,-1,-1,130183,-1,132654,-1,-1,273643,-1,-1,-1,-1,-1,554440,-1,662528,170225,-1,-1,364822,208558,-1,122689,-1,-1,-1,-1,559465,450266,495097,-1,-1,-1,-1,-1,-1,475602,108763,498538,-1,-1,-1,-1,-1,985055,-1,-1,139558,-1,849067,156655,-1,8072,-1,806630,-1,-1,-1,985542,-1,405492,-1,-1,492733,681327,-1,747949,-1,-1,-1,-1,519834,-1,-1,412903,-1,402272,-1,-1,-1,-1,-1,182350,-1,210061,536877,698356,659513,584846,-1,-1,-1,-1,147267,-1,-1,531385,967684,404952,-1,829312,-1,163479,604316,294185,46285,555230,200119,-1,-1,744901,-1,883694,968916,846909,540274,-1,-1,477382,-1,-1,-1,261471,-1,50210,-1,-1,-1,694428,-1,144272,-1,-1,940069,-1,-1,417491,426139,-1,99568,-1,65647,322531,-1,-1,-1,284911,955792,3186,411077,-1,249447,32754,-1,605869,742454,142551,532066,361211,-1,-1,161662,873095,131584,29308,-1,116722,558331,489418,471330,-1,347050,-1,948533,-1,-1,-1,624480,890812,-1,-1,-1,-1,-1,158530,-1,-1,835034,-1,754483,114195,-1,772412,411815,-1,29758,663460,-1,703390,-1,243992,242448,222324,-1,-1,-1,-1,332135,-1,596797,764952,-1,763820,-1,-1,638769,-1,-1,631823,500447,167138,970615,-1,-1,-1,105943,-1,406042,-1,-1,-1,719164,-1,-1,-1,-1,-1,126767,-1,-1,-1,-1,-1,-1,760304,712346,126620,641567,-1,-1,-1,86761,125581,-1,-1,871118,-1,-1,63662,712119,-1,339392,-1,804984,-1,-1,24542,667496,-1,-1,-1,-1,374425,346001,-1,-1,295101,-1,-1,629688,-1,-1,-1,237125,-1,-1,-1,-1,850595,-1,-1,158039,798930,66189,-1,778395,-1,840228,233103,431692,656135,790337,-1,-1,754971,-1,-1,305073,979010,-1,-1,696059,-1,297067,365517,-1,761735,242337,313292,181840,39339,857007,-1,786697,-1,350601,663799,-1,-1,31432,-1,-1,817220,969032,-1,-1,272069,942615,-1,501334,717645,-1,-1,455691,561439,133707,-1,-1,880094,3945,737287,963994,277660,200839,168725,-1,-1,191799,-1,-1,900897,127911,874833,977669,708391,811001,-1,-1,-1,129004,-1,-1,-1,611492,-1,-1,197007,930525,120788,-1,156884,860344,-1,-1,887557,-1,-1,-1,320533,-1,-1,575778,412176,464052,283667,220653,-1,-1,-1,-1,111238,334789,213117,-1,-1,-1,-1,549550,328417,423859,394248,856069,862843,806894,-1,-1,818574,827605,825949,-1,182070,-1,269252,-1,199984,665729,-1,-1,160866,148725,138728,951065,672072,107500,-1,-1,-1,379694,20360,226576,360486,177026,315632,346520,226782,-1,544322,844926,401049,625513,876482,258938,-1,-1,468214,118024,955510,195363,-1,77262,-1,-1,-1,-1,617672,820282,-1,433990,-1,301838,801218,-1,170712,463692,833529,-1,752223,-1,-1,29298,-1,593244,-1,-1,-1,872398,403541,-1,803777,-1,-1,-1,605084,996637,963322,-1,179215,462514,-1,-1,-1,872724,-1,512919,27628,-1,-1,253255,301077,-1,-1,-1,781939,952708,286116,-1,-1,803252,597200,-1,807995,-1,-1,794334,-1,-1,-1,348315,859718,561884,467012,-1,136604,-1,-1,64402,746985,676407,149481,678763,577978,-1,-1,-1,968578,-1,-1,866416,83333,624504,250800,-1,295047,-1,126454,-1,207851,881732,-1,-1,68238,307886,-1,-1,-1,719933,-1,-1,-1,4428,998393,217577,782415,-1,-1,921561,-1,504170,-1,-1,-1,680255,895958,347012,22585,-1,-1,-1,254491,-1,413868,575210,-1,609302,-1,-1,-1,67073,-1,280836,627962,-1,-1,-1,31665,-1,-1,-1,792923,-1,-1,704509,-1,180922,359135,832165,416795,-1,-1,-1,650401,-1,-1,543967,916826,-1,-1,-1,-1,177694,655351,-1,925074,275232,-1,-1,-1,794190,-1,-1,-1,-1,-1,243052,633266,682008,188692,447817,784810,-1,889446,-1,-1,660010,-1,452730,536289,185047,-1,984788,195581,447790,-1,815343,883006,-1,876491,-1,-1,-1,-1,-1,-1,187306,-1,-1,109522,35171,310430,-1,674076,230700,-1,-1,-1,-1,-1,-1,-1,157264,155808,182531,-1,778781,-1,452683,367533,-1,920173,699997,-1,-1,-1,367387,499905,502703,557932,112619,201672,-1,989273,767713,-1,817039,673526,-1,280798,576743,809557,650090,463456,-1,-1,-1,926233,436571,365621,-1,-1,719564,-1,-1,-1,482210,-1,902274,28153,-1,945670,-1,577184,200169,-1,-1,-1,-1,330458,581059,83980,-1,-1,224015,-1,-1,466844,142064,-1,-1,379842,22751,564302,875168,-1,-1,155346,17490,713298,-1,-1,-1,-1,-1,952885,-1,-1,-1,-1,223663,-1,700119,-1,-1,-1,886543,952025,325824,829927,-1,-1,493682,452093,-1,-1,664784,-1,899159,923860,-1,688815,768535,524311,-1,-1,392578,-1,-1,-1,79432,379355,-1,989695,-1,630222,-1,238786,289864,-1,537529,597035,-1,809007,-1,912514,106537,27591,-1,889066,294162,855482,973614,50634,-1,-1,853077,292640,521861,-1,-1,217555,694330,502824,506904,-1,856003,38754,208516,145042,92279,142260,-1,-1,49130,-1,375897,99058,-1,-1,757787,-1,488852,942771,-1,809104,360724,441561,-1,-1,512342,-1,-1,-1,981033,647241,-1,594552,-1,-1,-1,-1,-1,812635,617740,457424,-1,-1,-1,-1,258732,-1,531395,-1,-1,-1,-1,-1,-1,659020,903723,-1,-1,506455,415308,263073,-1,-1,559596,-1,358297,-1,-1,150698,837248,588558,-1,362245,-1,219181,-1,202361,-1,926642,889267,886215,1102,397265,130005,-1,-1,-1,-1,429309,170615,-1,-1,-1,-1,-1,58703,339935,-1,469214,-1,-1,-1,-1,866105,-1,-1,332259,194181,-1,-1,-1,-1,968902,483046,607157,889715,448057,-1,341617,-1,-1,378948,1948,-1,176099,-1,-1,-1,47842,-1,493799,-1,-1,312953,160194,-1,-1,-1,-1,981484,640643,-1,-1,-1,724582,886586,680700,787891,-1,810199,449371,169082,-1,253021,-1,-1,384717,-1,-1,593788,669727,-1,767328,199452,-1,60048,870514,-1,-1,676650,413146,777025,-1,314268,-1,924217,265309,-1,836441,283306,-1,550997,-1,860586,-1,-1,957687,-1,514792,-1,561261,-1,-1,-1,322465,260852,268121,748461,982718,-1,205206,761816,-1,578093,50935,164558,256657,367739,108378,-1,48404,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,950591,611628,291696,561690,-1,856974,-1,244666,-1,-1,-1,681235,513056,199694,-1,241226,285026,758009,977847,187124,447979,-1,387351,198189,-1,830766,-1,-1,-1,538266,-1,-1,-1,11255,786363,-1,-1,655991,-1,68678,-1,634756,886310,-1,217682,535456,702432,-1,319636,340322,-1,931808,704461,-1,446454,364803,576869,-1,818639,-1,962454,-1,33089,136809,835319,-1,81064,481094,-1,-1,458469,-1,-1,881549,546280,806116,-1,-1,92604,-1,-1,886795,-1,-1,-1,-1,-1,-1,-1,45988,84593,439069,286060,214222,-1,865485,110375,884804,-1,118670,-1,-1,-1,-1,879297,215020,-1,783605,-1,-1,605202,-1,812905,-1,464500,508478,252959,-1,119164,-1,-1,924583,407660,587768,787270,362247,-1,734449,-1,-1,-1,88989,-1,-1,-1,-1,68918,-1,263360,-1,98992,-1,-1,782585,294457,-1,-1,-1,-1,-1,309330,720481,-1,439944,-1,-1,582406,-1,-1,215704,-1,-1,217856,-1,-1,985308,393331,374191,166211,-1,-1,-1,674835,887584,925843,-1,-1,201886,-1,-1,467654,-1,-1,-1,-1,580382,-1,-1,-1,343539,-1,802428,603695,571181,-1,-1,304384,-1,-1,257807,33279,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,408998,-1,464789,792976,739666,606139,-1,-1,-1,458688,-1,668926,-1,358357,-1,-1,707965,412628,380313,-1,-1,-1,177161,-1,-1,-1,-1,-1,-1,477315,-1,-1,-1,166919,-1,-1,963178,752499,202767,-1,743763,-1,-1,-1,69060,684660,196883,685293,95244,957805,21182,-1,-1,33704,828284,-1,131250,856224,-1,667709,-1,771043,439076,-1,163932,-1,-1,87497,162709,158117,399042,3724,258204,-1,-1,255110,207086,-1,-1,-1,507013,626726,-1,-1,-1,500130,-1,637629,-1,995734,-1,398673,159233,43393,-1,847167,-1,-1,387508,-1,637911,706153,488306,859445,-1,218587,-1,-1,-1,30365,-1,-1,146704,926643,-1,70228,-1,36687,922124,902542,458440,503474,649108,-1,-1,-1,395345,-1,259301,534579,-1,505593,958515,623434,214526,938354,-1,789707,-1,583768,526148,-1,-1,224961,-1,-1,-1,939263,233032,-1,-1,-1,748993,568232,358865,-1,-1,-1,-1,-1,537410,-1,60063,145392,128339,250983,963738,837325,285202,214541,375560,-1,-1,559549,-1,36190,-1,-1,98861,-1,-1,-1,-1,-1,622266,394395,-1,-1,690168,-1,688391,554655,-1,979842,142671,860739,61801,-1,527403,924084,-1,929766,38883,-1,-1,694280,-1,-1,540268,-1,-1,797911,611394,85170,534834,-1,325115,-1,696143,-1,-1,-1,-1,627896,31952,103622,-1,-1,879738,-1,-1,-1,-1,95722,587272,358730,-1,829334,758362,-1,967956,-1,849585,497390,-1,532320,849269,815966,256357,-1,-1,83281,516009,999288,737992,-1,-1,605025,-1,-1,681984,-1,-1,-1,-1,721696,926929,644237,-1,-1,16701,948172,-1,462197,761541,658568,-1,-1,280202,687025,797552,-1,982500,362092,-1,765741,236094,963552,-1,-1,405314,426459,-1,572423,-1,-1,-1,909684,718514,987844,977923,-1,591206,984328,-1,851093,-1,634950,635627,-1,739126,745330,-1,-1,986056,645353,951975,-1,-1,545499,-1,-1,-1,-1,717576,-1,728833,551044,-1,-1,503372,-1,791192,-1,925786,-1,784122,-1,820291,927652,599742,-1,681979,862817,-1,-1,-1,43321,-1,38266,48050,-1,-1,-1,320997,505083,326147,169562,-1,280979,-1,-1,492324,630551,-1,528578,-1,125997,-1,545182,896861,-1,876199,564781,-1,826311,-1,-1,-1,-1,333968,18763,-1,-1,948177,424142,-1,-1,-1,741093,-1,-1,-1,978396,704758,619002,294524,-1,641229,102811,-1,519363,-1,609712,519259,684087,-1,-1,708961,751332,-1,-1,-1,-1,-1,433781,-1,-1,-1,419492,-1,526189,-1,-1,-1,-1,134326,-1,-1,63689,-1,337932,-1,42695,-1,-1,-1,-1,138263,171620,-1,124987,673688,-1,-1,-1,347134,455194,836704,225220,-1,-1,-1,370181,-1,-1,-1,-1,5752,69549,731622,-1,-1,-1,978668,-1,998699,-1,-1,-1,-1,-1,-1,654473,388491,292753,-1,-1,304239,-1,626036,-1,-1,119059,-1,-1,-1,72103,819287,828009,806335,616069,955216,-1,601718,-1,805299,-1,-1,599301,-1,-1,-1,-1,-1,411248,992244,364527,413265,460540,-1,-1,286184,-1,501053,952157,-1,-1,119148,-1,-1,-1,654928,-1,-1,810988,907690,849343,62616,-1,-1,-1,131729,535527,723754,-1,510957,284449,-1,992311,-1,-1,-1,-1,344188,855067,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,659876,-1,-1,38389,-1,-1,398794,614894,169609,263687,-1,-1,558359,-1,-1,-1,-1,-1,688914,-1,520412,364258,-1,-1,-1,-1,-1,702605,514954,-1,186726,385082,-1,-1,-1,-1,670480,-1,65566,784130,319528,972890,-1,-1,247885,-1,477200,-1,-1,-1,795994,18043,-1,84307,152335,383776,-1,496271,582272,-1,975483,677831,108799,-1,-1,-1,-1,-1,-1,789694,-1,-1,656327,-1,-1,540997,-1,633788,262089,431296,-1,-1,217042,924901,-1,-1,-1,668384,-1,-1,-1,967880,337061,609058,478376,-1,-1,-1,228372,22530,69937,-1,-1,440600,-1,-1,866221,-1,447149,-1,362451,930976,-1,-1,-1,-1,11477,513344,-1,-1,389061,521236,-1,553603,564498,614546,923108,-1,350621,-1,-1,128864,562980,504845,-1,-1,889713,625329,525610,-1,-1,-1,989480,522979,679530,-1,827516,752399,46172,418937,-1,-1,995648,-1,-1,695395,-1,779829,310510,-1,-1,-1,-1,-1,-1,622043,50904,-1,395385,629551,-1,71040,425831,-1,-1,-1,829163,437245,296885,950622,30671,-1,876205,-1,-1,813362,158308,-1,35945,472428,-1,-1,332566,569723,924200,437869,-1,-1,-1,546739,257752,-1,897791,346341,129227,881431,-1,460549,118148,774840,884235,848809,5116,800821,488638,655285,-1,596640,-1,-1,-1,-1,-1,247105,519032,-1,-1,-1,-1,-1,-1,-1,-1,-1,82983,-1,640886,-1,-1,131708,-1,801026,923532,-1,-1,822375,785513,-1,-1,-1,-1,798421,-1,-1,818881,-1,191497,-1,617360,-1,-1,434848,755977,857996,-1,-1,898320,852896,-1,-1,-1,-1,-1,-1,408344,-1,249509,-1,-1,601149,60210,-1,-1,-1,-1,180125,-1,52140,-1,-1,-1,-1,-1,691681,-1,49241,-1,-1,-1,620546,830246,-1,2632,124798,264245,500856,-1,-1,-1,-1,-1,-1,-1,-1,-1,823093,80250,304151,416895,-1,-1,-1,-1,-1,625756,-1,-1,-1,-1,-1,-1,113806,324210,-1,-1,937402,855659,256616,963782,819025,709105,162023,864868,226111,-1,-1,353107,749119,239442,-1,-1,-1,563045,943657,-1,-1,277552,566170,-1,-1,-1,946249,-1,635917,-1,243161,250968,-1,-1,-1,-1,-1,-1,686127,-1,748097,107311,329765,206659,-1,330460,-1,-1,642215,-1,-1,195310,883300,-1,-1,683163,586124,-1,948233,-1,-1,-1,-1,428188,703507,-1,-1,924462,905330,401130,-1,-1,913607,-1,-1,418297,903054,-1,-1,294507,-1,234529,-1,314107,-1,272006,-1,-1,-1,960555,-1,157986,-1,994199,772173,-1,-1,-1,-1,201230,-1,-1,-1,119546,710017,-1,563741,856683,-1,338808,-1,245969,909882,-1,-1,-1,725287,-1,-1,-1,815252,36419,194311,818910,989266,762207,-1,-1,-1,-1,-1,627277,-1,-1,-1,707308,-1,-1,47385,817626,309546,-1,654073,665220,-1,-1,501675,227119,-1,5928,182082,-1,-1,-1,-1,403112,45431,-1,-1,977130,189533,633908,-1,628534,-1,-1,-1,669620,-1,584088,533675,429582,542904,196212,-1,850565,-1,-1,-1,10827,391962,828707,531878,-1,-1,-1,-1,-1,23977,-1,-1,298834,52868,-1,-1,583049,582046,148034,961362,-1,643215,931604,442375,-1,-1,-1,-1,-1,-1,-1,-1,-1,300198,-1,584362,-1,-1,-1,615849,126277,644422,-1,325732,-1,-1,-1,-1,-1,721772,-1,522154,309772,-1,-1,-1,358109,990951,-1,764872,-1,-1,-1,887600,835935,657361,-1,898295,-1,-1,921755,747437,571411,437090,-1,-1,810614,413805,670376,576225,-1,-1,-1,719304,969916,770015,-1,9425,272304,-1,625730,-1,210695,-1,-1,113961,-1,-1,-1,804135,980508,218615,-1,-1,5710,-1,-1,-1,-1,157444,-1,-1,334838,-1,-1,-1,421172,420231,993942,761568,204927,743531,-1,153519,-1,2705,-1,-1,439425,-1,-1,702969,-1,-1,-1,29290,-1,-1,-1,142856,818086,203449,-1,82245,888154,-1,-1,-1,-1,659514,-1,288557,117675,-1,-1,-1,-1,689556,-1,-1,497199,-1,684377,828433,169737,-1,611698,-1,424916,-1,638277,460324,-1,247879,360209,-1,693870,948204,576500,887932,-1,295009,702406,6578,-1,48300,36276,-1,539526,-1,781827,554788,-1,235444,377875,531774,371601,161884,-1,-1,326394,836427,843394,272627,-1,-1,-1,531412,-1,436550,-1,-1,98452,-1,471321,906383,-1,-1,-1,291327,-1,-1,664238,703206,-1,-1,322806,376102,274525,-1,444033,248468,46336,219698,-1,-1,445049,716076,544760,-1,-1,238126,-1,21932,-1,-1,-1,-1,199710,35930,187403,171214,-1,-1,888333,495200,530425,520774,-1,-1,169841,-1,28667,964325,-1,727401,350364,920463,-1,185588,904751,339562,-1,-1,-1,-1,846787,143685,-1,-1,-1,-1,62632,-1,-1,252017,150769,-1,584906,-1,-1,785446,-1,825177,409477,-1,-1,993935,-1,-1,-1,-1,-1,-1,530973,-1,842173,-1,865223,-1,635132,319904,-1,844593,248533,726313,-1,909825,-1,-1,861048,-1,337746,820623,-1,714026,457584,881542,-1,-1,-1,557330,-1,-1,177580,-1,656656,50273,986965,734899,-1,56826,22421,-1,-1,-1,527468,-1,930879,219070,-1,716200,666296,-1,-1,96075,-1,384100,-1,978831,327569,-1,487302,74183,591953,830827,-1,-1,-1,951032,-1,777625,-1,-1,-1,229880,89835,52648,-1,142920,484542,671765,561073,810214,649627,855720,-1,-1,-1,977276,-1,-1,964439,232657,786431,-1,-1,867235,-1,-1,255800,832530,-1,-1,465957,-1,376211,-1,-1,532316,598303,990924,-1,-1,-1,294060,37003,-1,619809,664815,-1,899731,235646,92166,-1,-1,-1,-1,829526,-1,61808,-1,196069,-1,889828,-1,298165,616304,103304,-1,-1,485906,523101,-1,-1,-1,-1,-1,266272,554616,-1,-1,519316,-1,-1,-1,594357,-1,627146,-1,-1,-1,-1,-1,-1,-1,609341,221085,-1,442432,44852,338900,149,-1,217848,-1,503147,629557,-1,543675,938111,-1,268913,-1,-1,80292,-1,-1,-1,872211,-1,231838,81126,786128,89266,-1,-1,-1,-1,946849,-1,924458,69749,277514,422268,-1,944109,-1,-1,-1,-1,-1,-1,-1,-1,364871,-1,409599,612617,-1,738040,348468,865845,283287,924646,-1,-1,347112,-1,-1,94212,854692,670743,-1,202865,-1,517587,-1,315713,-1,-1,-1,-1,-1,-1,-1,-1,963373,50342,664704,-1,-1,-1,44569,-1,-1,433676,-1,-1,-1,325607,564275,-1,976839,-1,679486,499132,681113,96509,-1,513126,-1,608208,-1,792796,-1,924369,-1,901028,-1,-1,908525,199600,367879,560553,-1,-1,264953,771149,-1,-1,-1,-1,847986,435809,-1,196860,237802,-1,746779,-1,200318,-1,198337,-1,972166,720825,-1,-1,839569,517847,-1,-1,330762,366131,-1,-1,-1,205109,820959,981235,-1,-1,567318,86739,-1,-1,906368,774491,-1,-1,978147,257234,517227,-1,622199,-1,-1,-1,160572,-1,-1,405810,-1,-1,453554,670609,146924,-1,-1,-1,-1,546953,-1,509949,906752,-1,-1,816509,-1,-1,267607,331111,84383,-1,-1,-1,-1,-1,105060,722394,607534,-1,942716,903169,-1,-1,829606,872417,635197,-1,533731,-1,330407,-1,-1,-1,337786,-1,-1,-1,190158,-1,514757,521513,882899,105081,-1,-1,-1,105942,359516,62499,-1,162466,-1,-1,-1,-1,-1,-1,-1,-1,-1,277656,-1,576307,-1,436968,960995,376695,44433,699474,-1,-1,344328,867092,-1,-1,-1,-1,-1,666172,-1,-1,437184,634386,683117,946778,48635,-1,151664,704728,-1,-1,675266,-1,-1,-1,888398,979318,834381,-1,671138,-1,776778,429738,779671,322060,263484,-1,-1,-1,-1,233907,-1,933485,-1,614519,-1,16411,752740,-1,711985,832071,-1,91706,-1,642601,996812,-1,975530,730536,787094,-1,398549,836541,-1,459462,-1,-1,-1,-1,-1,848354,650410,-1,-1,276300,182767,292689,-1,-1,-1,-1,207926,269632,484462,520099,658032,-1,-1,-1,587630,502083,125905,370975,149688,873225,-1,-1,700610,471989,-1,14271,-1,751772,-1,-1,768934,881559,817214,856043,-1,-1,-1,825781,279239,239450,-1,558288,-1,679241,-1,-1,361946,-1,51524,382943,-1,950360,-1,-1,728752,712758,-1,-1,655726,766136,-1,314284,-1,-1,-1,-1,-1,400198,606069,490575,409506,-1,-1,-1,55556,874134,-1,-1,-1,-1,-1,751577,234742,172481,87218,-1,738370,200693,-1,797822,548998,200512,291684,-1,879784,265558,638163,-1,-1,976949,-1,-1,760349,45280,-1,826182,-1,439588,153001,-1,86566,-1,-1,-1,869346,-1,791738,406510,-1,709721,727744,-1,-1,-1,367131,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,701274,-1,-1,573606,619604,-1,-1,883699,-1,684890,831421,-1,588172,-1,893425,-1,-1,-1,449374,123753,805482,-1,-1,900586,130987,769643,-1,679132,806355,-1,-1,-1,59957,-1,-1,-1,-1,297805,442169,-1,-1,-1,210025,-1,-1,-1,623409,-1,874639,736545,-1,683790,-1,319992,-1,332863,758401,-1,-1,-1,-1,-1,611049,-1,-1,833085,-1,88215,471062,367764,304099,-1,336383,-1,-1,-1,-1,-1,-1,-1,612278,550178,89586,567254,-1,-1,41387,-1,-1,692469,704387,976592,-1,692573,659480,403419,-1,-1,-1,546765,-1,27423,25088,-1,226404,-1,913193,-1,87667,948919,-1,-1,505996,305897,-1,-1,-1,887755,-1,596176,-1,-1,746972,18373,314231,-1,389878,555745,4816,-1,-1,-1,540377,-1,763187,-1,-1,256956,145676,740121,-1,431109,-1,811306,-1,-1,-1,-1,-1,884272,761354,-1,-1,994227,97882,-1,-1,-1,-1,92285,893687,607998,317442,-1,-1,-1,878577,906387,4935,-1,995457,639778,-1,277233,-1,-1,-1,-1,521050,-1,-1,14167,-1,778443,277988,-1,499324,118347,-1,-1,630316,54531,-1,-1,503367,-1,-1,156080,930684,-1,-1,457969,7565,-1,339048,204770,672913,-1,-1,-1,-1,949515,-1,333150,36446,807636,251771,913308,-1,-1,-1,-1,910100,-1,-1,-1,-1,158523,-1,-1,-1,858386,759354,256362,122415,530060,909890,-1,952143,461459,336300,531741,708363,-1,-1,-1,555718,-1,-1,877248,729347,471295,-1,-1,-1,-1,-1,545596,-1,-1,355643,-1,593582,991474,-1,298963,-1,-1,-1,518202,-1,491035,-1,-1,16640,678245,268531,762973,-1,798670,-1,-1,914020,-1,-1,736573,-1,18241,-1,-1,-1,777173,193208,-1,683129,-1,-1,-1,682801,-1,637931,299442,580008,144921,446040,-1,805256,267971,829570,246571,-1,701418,208980,917800,-1,943594,-1,-1,-1,-1,-1,78881,-1,-1,90713,-1,-1,360907,-1,994368,912531,-1,524079,416219,58673,378562,-1,-1,704564,759844,451540,-1,751418,-1,-1,-1,317780,180968,-1,40515,724379,-1,982817,-1,-1,542265,733688,559062,891610,-1,-1,-1,-1,-1,-1,1545,-1,498366,534657,331627,365377,-1,-1,-1,-1,258815,-1,-1,-1,-1,-1,696722,-1,477786,971534,-1,-1,-1,886045,-1,-1,986510,32961,757041,-1,634361,849770,-1,303829,-1,-1,438317,205990,-1,527094,350473,-1,-1,-1,-1,-1,203685,-1,118886,534511,160559,-1,-1,172652,594162,991954,-1,308714,20586,-1,106098,837209,-1,-1,-1,129124,-1,-1,-1,883879,-1,-1,904451,-1,348791,758154,-1,193370,-1,-1,830427,375353,937518,-1,-1,776800,638577,224366,747072,799330,259517,-1,199647,-1,-1,-1,619059,-1,472188,-1,-1,-1,290742,387764,-1,-1,-1,-1,241304,627793,-1,646088,-1,-1,-1,-1,77287,-1,983763,744752,475968,635704,-1,218234,480844,821033,-1,-1,157816,477004,73634,-1,-1,824117,-1,-1,-1,185000,184312,428310,-1,593401,587078,-1,261344,-1,448879,605662,272973,764592,-1,-1,-1,-1,-1,-1,333614,15777,476947,-1,-1,-1,-1,252669,-1,497098,-1,337342,516156,-1,712244,39335,-1,-1,-1,-1,384340,-1,-1,516164,320887,783999,-1,-1,288960,-1,868881,-1,-1,-1,411577,-1,-1,169704,-1,-1,-1,938268,-1,-1,-1,863589,66535,116717,119563,-1,-1,479145,206711,-1,579038,596307,-1,-1,-1,503892,-1,262142,641101,67478,-1,-1,369077,668969,614921,532759,604989,76824,707888,-1,-1,421888,882222,-1,-1,971065,317678,748923,-1,225933,424660,-1,-1,-1,895893,-1,-1,-1,654441,-1,-1,-1,-1,593705,-1,-1,611379,-1,-1,-1,-1,988532,388259,-1,-1,102599,595881,646294,243458,352455,-1,152959,179076,-1,31180,761451,605765,-1,-1,388666,-1,-1,-1,-1,909797,-1,722115,-1,-1,-1,-1,524580,-1,-1,-1,-1,-1,417995,-1,-1,-1,943390,-1,-1,340673,-1,686363,532159,405196,-1,-1,-1,-1,59161,91610,-1,745173,-1,642597,117278,428174,67202,245583,-1,196442,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,855746,809058,367583,-1,908253,492245,-1,451887,839514,-1,-1,558204,-1,-1,571341,-1,-1,-1,901538,-1,-1,-1,203375,377622,294603,554213,-1,969081,-1,-1,-1,674263,761190,568623,-1,583108,-1,99910,768374,547873,833116,688156,-1,-1,-1,-1,-1,756130,-1,312971,401982,-1,-1,-1,27283,-1,-1,842957,285826,128841,-1,514362,708615,-1,108010,-1,-1,-1,600878,-1,371373,-1,376629,-1,-1,748913,189645,118623,291916,896663,89418,360640,581664,794414,-1,-1,15068,-1,942105,-1,957530,-1,-1,-1,-1,797747,-1,258194,400218,150099,-1,680664,583473,557943,-1,-1,-1,24117,19613,-1,928005,-1,340458,774975,195983,-1,258372,-1,-1,407733,457607,-1,390713,619883,874541,-1,581701,-1,-1,-1,-1,-1,311703,844027,-1,-1,13798,-1,-1,831425,-1,175159,-1,-1,-1,-1,389661,-1,-1,946137,-1,507788,930116,-1,140054,-1,229420,137899,623810,-1,-1,228181,860565,741950,268928,-1,750866,-1,-1,-1,-1,-1,-1,294035,-1,-1,611257,-1,-1,670742,888653,-1,-1,706663,-1,720841,-1,-1,997068,-1,663936,335254,348495,-1,65665,-1,-1,11797,944117,800082,601462,534654,350347,195238,566555,-1,-1,359420,771720,547595,-1,-1,954498,-1,912710,219065,-1,572057,672544,-1,269020,-1,-1,-1,-1,-1,109015,29039,20862,704760,532212,-1,-1,-1,935590,-1,94558,-1,-1,501300,98975,-1,-1,-1,467727,-1,620001,178489,-1,624118,824049,-1,-1,149632,11995,-1,-1,-1,-1,490771,902034,688289,-1,896390,-1,413505,-1,112500,-1,-1,-1,-1,-1,35472,521864,959859,-1,-1,-1,829454,-1,930935,-1,-1,-1,-1,-1,464949,275592,-1,-1,370560,105516,229026,296962,-1,48227,592896,368470,648814,-1,894931,-1,-1,77843,-1,-1,-1,243466,67566,-1,-1,77032,755886,241757,-1,-1,-1,476431,117791,-1,32638,609691,-1,-1,491129,442615,-1,-1,457995,884521,63485,696013,-1,-1,409591,469300,922742,514215,-1,-1,-1,-1,-1,-1,-1,-1,553427,88173,-1,-1,616774,-1,-1,-1,91626,407375,733294,5805,-1,-1,-1,-1,-1,73464,471859,-1,-1,853599,-1,-1,796961,-1,-1,86548,964697,736062,-1,-1,-1,887942,-1,800226,283404,761898,356079,-1,-1,-1,910217,-1,-1,836504,-1,-1,-1,-1,681661,428573,-1,323304,258265,772904,461860,-1,-1,818695,-1,-1,-1,845808,581583,47098,-1,113860,111093,-1,35920,359500,-1,-1,556800,549734,539578,35172,393722,580938,-1,939095,-1,-1,780316,-1,358463,453269,368108,-1,-1,321340,572933,-1,-1,-1,660801,-1,-1,-1,-1,-1,-1,-1,235543,541327,-1,-1,-1,-1,-1,943782,351737,991668,132635,476099,-1,619478,-1,-1,-1,642092,-1,-1,-1,991965,-1,975456,-1,-1,95898,-1,791567,559942,-1,942459,563177,156828,-1,-1,595907,-1,24813,-1,-1,-1,-1,-1,-1,-1,456908,613804,903120,192476,254402,-1,759591,-1,139340,-1,127243,294984,347723,474257,671082,-1,-1,-1,-1,644874,-1,-1,933893,-1,270317,412962,-1,340747,-1,-1,-1,258483,-1,422016,-1,992525,207203,-1,-1,511123,19344,-1,-1,192856,-1,14591,-1,619703,377837,809747,280402,-1,-1,27976,-1,441060,-1,-1,119085,519439,693647,863475,-1,469486,810200,646127,842765,-1,141645,51665,632388,746956,699654,947897,779357,795600,446437,930165,321451,-1,-1,-1,-1,-1,301582,42085,224312,-1,66443,-1,18803,-1,108710,402039,-1,-1,-1,-1,828560,-1,-1,451662,-1,428735,147959,-1,-1,-1,-1,664973,-1,71092,310536,-1,-1,-1,-1,-1,46426,-1,114216,-1,-1,-1,-1,-1,-1,160041,711174,171554,-1,255738,237502,811894,-1,-1,-1,279745,400897,667750,-1,-1,-1,-1,558527,-1,133341,-1,-1,178189,776162,771021,-1,-1,-1,649021,-1,232403,-1,431357,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,2932,288883,-1,-1,-1,6594,-1,-1,930810,662958,265895,635505,-1,56503,932375,-1,256716,-1,409525,-1,-1,-1,254595,-1,-1,134582,-1,683520,117043,796617,-1,-1,680896,512332,907003,-1,-1,-1,520593,-1,-1,661474,-1,163854,-1,51685,743234,466772,-1,667871,-1,765973,-1,-1,-1,597326,505504,65276,-1,688384,765442,-1,944406,-1,-1,601792,-1,-1,-1,-1,620181,753231,-1,-1,-1,-1,175750,35780,-1,459481,86464,-1,80740,-1,-1,-1,55279,-1,-1,-1,-1,263355,-1,-1,647144,940912,-1,868113,673103,303478,-1,-1,-1,-1,136191,-1,-1,-1,-1,5417,-1,-1,-1,43377,-1,-1,832179,540918,-1,337927,380688,140269,135185,749859,-1,-1,-1,107403,-1,-1,705604,-1,-1,395010,-1,-1,214705,-1,-1,-1,-1,498938,-1,45156,248662,-1,147289,428394,606621,674225,-1,-1,-1,960372,-1,-1,205541,214667,-1,-1,258290,-1,314535,698491,891132,-1,-1,736634,586611,-1,142711,-1,-1,545418,-1,792832,-1,-1,748457,357874,234800,-1,-1,303655,-1,-1,-1,-1,-1,381655,464820,814393,-1,417866,-1,781409,859219,-1,834702,-1,-1,470890,370716,51175,144370,664953,547033,114115,406150,-1,-1,-1,333115,215447,984652,-1,255260,928479,-1,504245,-1,795601,-1,994297,-1,-1,33859,418184,681047,-1,213202,-1,690377,-1,-1,-1,857902,85362,-1,209645,-1,888226,957415,348191,-1,289314,-1,992070,-1,457388,-1,-1,-1,549798,-1,-1,950032,-1,-1,-1,-1,429807,-1,43095,-1,-1,-1,-1,845425,930633,242101,-1,558218,-1,-1,164819,642950,746090,23072,418874,-1,744684,-1,-1,890431,903484,886735,346920,-1,831817,283505,-1,797313,-1,-1,618376,-1,-1,605634,-1,343381,-1,-1,-1,-1,-1,-1,509853,323340,-1,418039,197517,692133,231669,828775,-1,-1,227928,823157,913703,-1,792751,167110,411527,-1,-1,851035,326078,-1,-1,-1,-1,-1,-1,-1,363505,-1,249511,-1,892535,233043,-1,461236,-1,-1,-1,-1,-1,816568,-1,-1,-1,-1,-1,-1,-1,-1,824751,-1,734483,-1,-1,-1,-1,324739,-1,-1,803543,627840,924028,627764,-1,113492,-1,-1,-1,87153,133020,-1,-1,905279,441106,-1,323807,678734,851503,-1,-1,594018,-1,-1,-1,-1,131286,129883,692121,-1,-1,578167,-1,-1,23771,-1,-1,-1,-1,-1,-1,-1,-1,573199,195239,124258,894542,253169,-1,396137,-1,-1,-1,-1,-1,-1,-1,-1,-1,440447,332222,-1,12233,-1,332587,-1,-1,554904,-1,-1,-1,-1,-1,-1,-1,-1,809010,414510,-1,82130,29238,826483,814390,202929,-1,-1,878105,952592,926831,-1,-1,714992,256655,-1,-1,33382,-1,934995,-1,-1,70447,556362,-1,321132,933153,-1,-1,107152,-1,-1,-1,-1,-1,-1,842941,312727,390228,-1,-1,-1,69158,-1,561789,834249,267244,445547,686721,699039,225159,-1,-1,-1,138300,516212,814928,-1,727321,-1,607241,-1,-1,49271,-1,432506,-1,456218,919867,129169,593496,-1,608629,-1,567892,-1,-1,247473,549008,-1,738255,-1,482169,-1,263800,-1,-1,603288,408435,290489,-1,-1,-1,-1,-1,761437,630937,147741,419348,795544,151333,896341,-1,771761,-1,309292,582356,-1,-1,-1,-1,852856,121103,-1,-1,1416,-1,-1,608818,-1,258716,501186,87550,559934,108711,715069,330991,231073,-1,-1,-1,-1,503491,-1,-1,-1,-1,292446,942529,364017,529093,-1,806219,544001,-1,846853,634054,784856,-1,-1,-1,609592,89710,-1,-1,723981,934395,-1,-1,-1,882479,492198,-1,-1,780936,426828,-1,-1,-1,-1,499319,-1,-1,801920,15093,-1,-1,-1,44160,761563,-1,860990,282989,-1,-1,-1,-1,534428,177267,598912,693945,628435,918905,-1,146624,-1,-1,710572,-1,717607,580670,-1,641369,-1,469831,-1,-1,-1,393378,-1,-1,-1,-1,816705,-1,66200,-1,727318,279409,899863,659462,-1,-1,633989,-1,-1,52308,-1,-1,-1,879259,-1,832385,626933,-1,984792,-1,-1,-1,-1,-1,19413,-1,772633,37625,34555,-1,813589,718617,69227,-1,-1,780287,-1,-1,-1,723356,-1,116133,75190,-1,110182,379425,739485,-1,-1,-1,-1,-1,-1,-1,-1,-1,721649,249999,-1,-1,587024,122000,-1,610752,160606,232570,-1,225145,-1,-1,-1,766927,110498,-1,-1,-1,327555,761335,-1,-1,-1,-1,988592,-1,960533,15074,-1,-1,-1,896305,94939,-1,281138,456657,-1,21168,55034,-1,-1,386536,-1,609775,851603,-1,-1,-1,516548,488744,934354,401165,727084,-1,-1,-1,-1,-1,825218,645242,-1,69866,-1,333190,-1,-1,156718,545052,-1,-1,189848,871443,277649,822907,251261,-1,-1,998559,-1,-1,960307,57884,-1,-1,666592,-1,398720,417082,409089,506521,373167,-1,165027,-1,844233,910579,238974,-1,-1,169303,530821,-1,-1,-1,524275,462142,461025,-1,760292,-1,821383,837374,-1,-1,-1,-1,-1,380332,835900,-1,-1,426678,-1,735215,308798,718509,-1,-1,738210,-1,103101,-1,-1,-1,-1,543099,2286,-1,-1,-1,50072,251001,546686,791410,620840,-1,-1,279742,-1,683546,491622,-1,-1,444746,-1,-1,-1,-1,635119,561590,919436,-1,892543,868333,-1,843686,-1,753571,966093,596742,-1,290253,-1,641161,2089,-1,940798,-1,-1,-1,-1,-1,380132,223685,-1,-1,-1,-1,970188,429656,-1,68903,-1,387465,124915,256187,-1,-1,-1,-1,-1,315768,374824,268953,785025,-1,517642,-1,656531,975617,-1,671497,343554,-1,783957,670526,305161,-1,373421,-1,868464,-1,-1,35027,334835,768961,7451,761798,-1,436653,800142,897781,199926,-1,-1,35079,353185,-1,-1,9421,557238,131784,-1,-1,-1,-1,-1,131718,38625,-1,-1,-1,464036,874345,110531,272335,-1,817860,209835,-1,485576,875381,899325,716880,-1,249594,215714,-1,571124,575458,479857,224098,249637,-1,-1,-1,-1,-1,-1,388918,342355,219969,-1,-1,-1,-1,-1,-1,649542,222216,-1,113183,352485,-1,-1,-1,-1,63565,-1,-1,5597,169387,225824,-1,-1,474353,680790,-1,-1,-1,710359,-1,316115,510110,897256,973156,-1,468804,418472,-1,-1,463122,-1,-1,-1,-1,211979,-1,236042,480206,228978,400782,-1,385165,-1,222185,860024,-1,393651,250586,-1,-1,-1,-1,327309,519466,-1,-1,155869,-1,-1,287780,384654,657456,-1,-1,192059,741265,-1,114303,185489,940162,827537,-1,305425,-1,-1,959857,546940,977905,799876,403047,-1,642408,-1,-1,295843,439259,-1,731787,91588,118732,-1,845623,387945,543630,561801,-1,-1,240172,220537,-1,783214,-1,259857,-1,56846,215897,199117,705835,-1,-1,-1,363982,285809,789976,-1,653209,-1,286617,-1,-1,-1,42714,516687,-1,-1,-1,-1,356064,-1,-1,-1,-1,-1,702837,-1,542959,-1,-1,-1,745828,237478,59843,341036,244682,-1,-1,-1,9963,746493,561858,-1,-1,581161,966174,-1,769727,-1,639949,905416,110568,-1,180281,741572,-1,373096,-1,-1,-1,814711,686058,184179,161320,-1,397599,992491,472354,983183,339208,971903,-1,-1,-1,944876,-1,996135,145119,453512,-1,621673,-1,-1,420574,-1,-1,-1,55405,-1,-1,-1,-1,-1,-1,721640,-1,-1,468017,-1,-1,-1,960404,-1,-1,870061,358424,19639,262795,633878,-1,-1,332285,774731,458018,637669,79426,408086,-1,-1,136371,-1,347380,538681,-1,-1,228575,178135,278548,-1,793763,-1,323637,165494,308336,297166,130556,-1,623675,-1,-1,-1,-1,767139,-1,45482,827142,-1,276911,981071,-1,750528,83910,-1,-1,-1,-1,-1,540699,-1,-1,-1,904548,852775,866982,-1,-1,-1,-1,-1,332691,141018,311034,-1,-1,831546,466334,576956,-1,-1,-1,232069,22915,992000,796613,712871,-1,623355,136419,564377,-1,418245,-1,-1,-1,327875,-1,-1,586770,-1,773279,41330,976911,381350,409224,676152,-1,546707,692482,188780,-1,110861,-1,550463,-1,809048,656100,-1,-1,791728,-1,910433,936062,323627,300275,-1,-1,523436,437885,737951,31164,528145,754203,-1,685125,-1,922691,-1,30939,510480,-1,517636,-1,351579,425867,-1,825522,-1,919934,159607,634017,187123,446225,-1,100376,-1,-1,-1,-1,998272,307686,639727,536714,-1,-1,858246,890336,-1,-1,-1,242383,485283,-1,518951,927546,85829,59208,442965,245747,89446,-1,151017,-1,644364,463254,557116,555642,-1,-1,394191,-1,-1,-1,909934,539377,778987,-1,-1,-1,-1,877996,-1,-1,-1,-1,307161,96335,155674,504103,779103,422417,21486,-1,287636,-1,337101,-1,-1,-1,-1,468511,861180,511757,898624,-1,-1,-1,-1,-1,962441,885034,820134,-1,805049,-1,121701,-1,611373,658036,-1,359814,598208,-1,978134,453204,582661,-1,-1,-1,665376,-1,790663,-1,-1,593900,722547,620168,-1,-1,910683,-1,-1,255403,52577,-1,-1,890479,686063,836515,-1,-1,525990,405429,-1,988746,-1,-1,391206,-1,263699,754199,-1,797996,-1,842484,25932,238557,881826,-1,468489,817206,100021,-1,-1,745915,550262,245535,-1,-1,-1,37750,-1,757197,-1,643528,893149,-1,-1,792883,-1,-1,912009,-1,-1,671582,-1,323186,203318,-1,-1,-1,789324,-1,107505,976512,356257,-1,-1,500452,-1,-1,4993,854030,55404,-1,434666,505707,373940,-1,580640,221330,203687,-1,496367,-1,572563,-1,705978,-1,862418,-1,-1,-1,-1,415640,657104,814080,-1,996705,395603,-1,608354,-1,-1,-1,489559,-1,47716,-1,-1,-1,-1,596167,-1,-1,560040,163193,299284,-1,859114,-1,-1,-1,494121,994997,201304,729863,-1,512264,72483,617430,141601,690791,926482,717295,464599,246296,-1,346580,-1,-1,-1,-1,453904,-1,-1,935300,862816,117161,17516,906790,-1,-1,322100,411406,-1,18099,-1,-1,234727,371892,-1,-1,-1,261503,-1,555318,-1,-1,873715,-1,-1,904127,-1,-1,-1,293302,-1,-1,-1,-1,993600,40921,-1,459471,-1,77965,524537,-1,-1,-1,-1,310528,342753,88253,996090,-1,68764,-1,227460,-1,-1,294551,-1,859540,89766,-1,-1,-1,-1,-1,-1,651118,-1,-1,974557,-1,297149,-1,539699,260624,-1,653254,96622,576302,800274,-1,-1,748627,-1,-1,888826,-1,-1,58819,857916,-1,-1,963975,-1,327524,438869,687748,70840,809356,-1,815379,106605,263770,304548,-1,-1,477600,430886,868583,-1,-1,-1,-1,529738,-1,-1,-1,42822,-1,887650,-1,976644,84622,761393,694758,725619,222768,-1,-1,11850,-1,-1,295098,-1,654712,-1,-1,556599,-1,-1,198853,687613,-1,505652,-1,142508,-1,-1,-1,877241,-1,-1,740440,103636,388866,128318,-1,-1,-1,-1,-1,487339,166862,928334,149198,-1,-1,-1,-1,-1,-1,-1,689873,-1,-1,-1,597948,-1,197621,-1,181133,169711,746807,731389,133857,-1,-1,-1,-1,-1,-1,996949,310575,643145,-1,263979,918512,269251,-1,-1,570456,401301,-1,-1,-1,-1,492074,337955,953957,766752,340359,947716,98661,-1,183522,773447,-1,265442,-1,-1,170821,-1,668462,692610,920588,103983,-1,534438,586932,997041,879549,-1,-1,713396,-1,491885,-1,229450,207844,215996,-1,-1,-1,594880,-1,699412,-1,-1,-1,47421,-1,494057,-1,-1,264224,972076,-1,232359,-1,915358,-1,-1,-1,340282,-1,121068,-1,-1,904777,-1,-1,-1,-1,524730,-1,331894,-1,777989,620700,-1,465061,-1,255900,-1,-1,-1,65450,-1,-1,970604,-1,242733,-1,-1,-1,-1,517199,144428,-1,-1,-1,-1,709449,253543,-1,-1,579464,490947,-1,-1,-1,489281,559148,-1,637937,-1,-1,-1,255437,-1,699708,840242,201356,-1,-1,-1,335356,43031,581347,619609,247991,888474,570598,407238,-1,190648,-1,36794,981464,655418,539030,-1,-1,954648,-1,836518,575823,67428,-1,-1,-1,-1,960868,-1,354613,409970,614003,-1,-1,-1,-1,-1,806323,66883,34846,844488,393766,-1,-1,-1,92468,889778,457527,-1,664508,901913,-1,766112,-1,-1,-1,69027,486373,-1,-1,676606,-1,-1,-1,-1,55837,-1,222370,-1,347188,-1,242329,962710,92245,-1,-1,389595,452089,-1,801379,425376,428625,166102,552841,667480,-1,-1,534361,-1,254684,998270,443864,565574,-1,-1,692745,-1,639245,-1,-1,933768,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,807229,444652,-1,584507,889798,-1,-1,956400,-1,17510,185419,-1,-1,-1,-1,-1,-1,522022,624711,-1,611248,-1,-1,361796,547387,-1,613258,555677,-1,88220,605879,243124,617445,-1,-1,931823,-1,756126,786597,-1,661592,918426,-1,928706,-1,994762,-1,-1,-1,285329,531464,552854,405728,-1,373363,485600,-1,566368,-1,-1,996976,981926,111077,-1,-1,98812,-1,-1,-1,228821,-1,-1,-1,-1,-1,194048,-1,-1,-1,-1,-1,-1,499728,675895,804967,852687,-1,492166,823634,-1,-1,105292,587707,-1,77998,-1,932873,-1,-1,850901,817862,53996,937340,-1,105249,-1,-1,237036,-1,-1,519429,78315,-1,-1,961728,739,147212,751957,-1,288297,201076,-1,-1,-1,-1,-1,52933,-1,-1,417276,140799,-1,599227,-1,-1,163191,-1,144250,865606,183059,478675,-1,506640,-1,131081,-1,-1,-1,-1,-1,954544,-1,728810,-1,426865,-1,-1,-1,318154,495342,917874,285952,-1,446702,729510,-1,677265,295574,837536,750414,-1,873636,687303,792968,134452,538156,-1,11397,388334,916627,-1,570774,-1,31214,-1,775833,9364,882090,-1,-1,778210,-1,443730,980347,583669,-1,-1,-1,-1,619062,-1,182172,-1,-1,-1,548128,-1,651594,-1,-1,727743,-1,-1,216736,-1,-1,-1,183105,-1,325094,-1,-1,-1,278107,-1,-1,772011,573336,292368,41667,-1,588527,644712,-1,-1,-1,122951,874430,-1,-1,934364,45184,-1,783642,440500,-1,913163,-1,-1,-1,134541,-1,119206,892893,822024,-1,-1,-1,-1,-1,639753,491364,-1,-1,-1,356299,-1,656610,-1,-1,429436,-1,-1,-1,706068,515479,-1,807811,984346,619122,958580,558431,510416,-1,157335,162510,-1,712859,-1,481391,580683,-1,-1,117279,850371,367102,265643,-1,-1,-1,-1,751773,-1,419667,-1,-1,813091,225965,-1,408453,533561,264621,952139,-1,272071,154214,732165,67281,925782,972293,867530,152755,-1,-1,730634,-1,-1,-1,114817,808659,-1,-1,616229,253678,747117,-1,750008,-1,951759,-1,-1,631544,-1,715336,-1,340304,169186,-1,-1,-1,-1,963906,-1,-1,567951,-1,510656,-1,987539,408860,147178,-1,-1,-1,68732,717756,-1,-1,-1,479872,-1,870286,-1,-1,-1,890715,630457,-1,678333,780591,134008,166686,63738,-1,419839,348866,824990,867391,751023,-1,-1,128948,-1,-1,-1,307657,-1,-1,-1,-1,207846,-1,-1,-1,126843,232037,179486,583127,-1,-1,-1,540040,184347,753687,-1,533672,182108,415351,-1,-1,212149,965822,527701,-1,-1,-1,-1,668829,-1,15462,-1,-1,411875,-1,-1,277467,183140,478534,-1,-1,734818,869516,-1,162631,941954,-1,847459,-1,571749,96407,-1,-1,-1,-1,538410,-1,601533,636049,-1,177880,937375,-1,411794,427745,-1,553702,-1,428095,629971,-1,-1,-1,943080,450185,126687,-1,732005,-1,973185,-1,-1,79762,785110,522627,113819,-1,981092,-1,-1,112028,864811,299529,665141,191758,-1,-1,-1,497325,-1,-1,467276,-1,-1,-1,-1,-1,-1,-1,487168,-1,-1,-1,-1,881446,397031,-1,819741,927523,-1,426441,-1,751655,-1,-1,-1,635377,-1,338598,-1,-1,179446,-1,318293,-1,122889,-1,4953,-1,196040,523135,-1,-1,461553,-1,149381,-1,-1,456751,-1,-1,-1,-1,-1,531651,490287,-1,997575,-1,298054,-1,75195,270748,-1,460828,917382,-1,952020,-1,-1,-1,-1,-1,-1,942973,806791,801747,-1,-1,-1,-1,100809,959780,-1,518772,-1,704338,-1,-1,675162,-1,566464,-1,550195,322603,-1,-1,-1,895741,-1,-1,-1,-1,138386,-1,-1,392197,524232,-1,-1,-1,-1,-1,-1,348374,-1,107675,293425,-1,30828,832961,-1,557395,-1,831215,-1,751953,-1,-1,-1,658327,481400,-1,-1,997031,528985,650686,-1,-1,-1,565163,-1,-1,-1,5888,-1,692284,798980,-1,-1,-1,12410,379018,-1,783053,494776,95836,-1,-1,315030,-1,558565,-1,-1,-1,3279,519954,-1,609352,-1,-1,-1,-1,525398,-1,-1,-1,271889,-1,-1,60969,58854,-1,863507,900563,600730,351804,-1,173117,-1,-1,-1,-1,70484,-1,-1,246895,-1,678220,-1,-1,577545,-1,-1,318072,-1,-1,-1,-1,-1,913983,420966,-1,59169,876077,967303,-1,-1,-1,74512,396085,171202,-1,978684,-1,-1,658223,725020,309506,888991,-1,825491,372804,982482,-1,142982,36658,-1,953743,669906,594524,353792,227608,-1,-1,-1,861285,-1,-1,901875,-1,-1,-1,-1,130358,630593,-1,-1,96301,-1,620718,722648,-1,579354,-1,375062,-1,-1,-1,968347,-1,-1,653326,-1,-1,127495,-1,856614,-1,526633,485825,197362,816993,719680,-1,-1,-1,631567,738458,-1,-1,-1,464431,-1,839904,795390,-1,632804,-1,596172,771590,431551,-1,345571,-1,687595,404574,-1,981691,781569,-1,-1,-1,117723,351874,-1,-1,460031,729606,637348,668115,55857,667201,-1,-1,-1,293715,580510,786352,736218,933169,-1,-1,289277,-1,845124,465776,-1,-1,182469,-1,838815,795509,843238,169388,-1,-1,867629,213606,-1,563608,842284,717038,802691,745333,930804,267146,-1,-1,-1,585358,-1,-1,800979,788985,877620,-1,528571,918350,-1,-1,230119,-1,-1,339264,-1,645784,960993,-1,468627,-1,581859,-1,718247,-1,421973,413570,808930,635655,141421,303344,206136,-1,-1,944609,279260,-1,-1,45117,-1,33996,-1,287479,-1,-1,917803,-1,-1,-1,712745,131877,308557,-1,56066,973046,470997,184912,-1,693881,-1,-1,-1,-1,-1,79791,-1,379922,582244,-1,-1,965253,537671,525036,649389,504107,977983,516058,-1,103132,-1,968643,-1,-1,-1,904707,29203,-1,390534,666027,533339,-1,-1,209221,968095,-1,-1,513210,-1,190243,-1,-1,98051,-1,885908,685600,-1,358289,154175,924581,398509,172490,474779,431831,-1,-1,-1,309574,6047,618707,-1,-1,823991,-1,-1,311899,39181,-1,-1,732044,154395,130817,-1,-1,-1,860507,-1,-1,-1,601601,-1,-1,-1,-1,491348,664641,151689,-1,321512,-1,-1,342221,634492,871076,993003,60050,-1,-1,370676,173766,437583,-1,-1,548726,-1,785146,-1,-1,396254,496098,317040,-1,93933,290383,214771,-1,-1,379328,-1,107614,947793,613830,907266,495185,-1,-1,-1,-1,190776,308650,187004,149069,-1,-1,-1,770001,-1,-1,-1,-1,849773,-1,-1,-1,779808,-1,93879,891191,-1,-1,416362,-1,739379,827321,153399,-1,-1,-1,-1,463250,-1,-1,942926,-1,-1,-1,825512,-1,732778,-1,443850,550205,-1,882522,264140,-1,9249,75533,593884,-1,903480,543298,989228,567391,-1,936164,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,439410,-1,-1,-1,894527,716964,23466,909332,88175,225752,558549,53989,786242,507445,720683,268697,-1,220038,575954,-1,-1,-1,-1,-1,476692,-1,856643,-1,-1,41896,937404,332189,-1,53528,-1,659287,35430,-1,515968,-1,475200,-1,637941,71518,739091,-1,-1,640821,-1,815828,-1,-1,-1,-1,-1,-1,661179,-1,810113,-1,-1,-1,-1,753643,-1,670057,763381,286038,22553,-1,235390,879653,-1,-1,-1,-1,-1,28673,-1,776166,715277,377719,-1,-1,580267,-1,-1,119347,-1,237006,819653,284788,88889,-1,79436,121166,268537,469012,-1,-1,-1,121762,773418,865419,668023,-1,184646,-1,76601,-1,-1,203771,208983,-1,-1,-1,450240,-1,549888,787865,892790,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,854924,384388,454690,524369,239634,595640,174859,623145,211808,817009,-1,289286,932323,-1,300827,80298,-1,769764,185504,115619,319503,-1,74009,489627,944568,131225,70356,940719,254874,-1,670377,-1,-1,616090,-1,-1,-1,956699,942028,-1,-1,501063,-1,-1,738503,-1,297649,842802,193400,187467,431684,802455,-1,-1,894198,778155,-1,-1,177077,732773,659475,-1,426042,-1,-1,651577,-1,221893,821736,592600,196082,-1,-1,-1,-1,-1,-1,991413,566921,833589,214368,336629,116239,-1,912820,-1,537001,170545,200967,-1,464598,-1,70881,194397,-1,-1,562224,116358,963297,395390,-1,-1,-1,-1,-1,-1,-1,-1,-1,765524,-1,-1,-1,-1,-1,90995,-1,626738,409455,817513,510951,197331,749310,359850,-1,-1,405755,-1,-1,-1,-1,-1,-1,640156,-1,322512,-1,186815,-1,-1,50694,-1,-1,-1,18849,874787,952147,22739,-1,-1,136540,-1,996908,-1,219533,-1,897953,914725,-1,-1,195641,-1,12238,-1,-1,-1,-1,317768,-1,583721,636610,-1,-1,959188,-1,-1,-1,-1,370629,858385,-1,-1,219299,-1,-1,-1,-1,981546,292234,-1,427571,-1,970819,175721,-1,625138,703379,420956,-1,640398,303626,607993,-1,-1,-1,-1,-1,665008,-1,-1,457976,-1,270258,-1,-1,185505,-1,-1,-1,496253,-1,-1,-1,-1,-1,19451,81270,-1,153400,810704,-1,647116,837362,-1,166246,369131,-1,-1,739547,367644,-1,131922,353001,-1,967389,-1,441009,41666,104622,-1,-1,-1,-1,-1,234531,947628,-1,222010,737414,-1,-1,-1,-1,-1,-1,-1,-1,257117,-1,581819,-1,-1,-1,216995,158460,325745,-1,-1,-1,209611,415820,528792,-1,703772,-1,12603,-1,590645,224149,689179,-1,177435,530777,-1,-1,826804,-1,576340,873080,263017,164326,833909,574321,387509,-1,135391,-1,890178,719107,668440,910208,-1,319132,-1,771618,208306,787510,-1,-1,398277,-1,716512,528136,84723,-1,374150,-1,-1,-1,-1,184883,-1,-1,707054,-1,-1,826099,-1,-1,-1,10387,-1,545361,-1,-1,-1,813593,-1,-1,462001,332843,-1,-1,955351,316944,-1,-1,627228,969058,148833,-1,121839,-1,-1,-1,959922,-1,757349,-1,-1,593480,-1,339229,-1,756811,240639,-1,-1,-1,-1,481777,-1,-1,-1,415649,-1,871328,486561,281729,-1,767995,9190,-1,670426,-1,930467,-1,529493,524877,14179,419120,-1,-1,330843,800232,824755,27941,-1,759677,-1,45896,-1,315960,-1,61189,-1,35877,309390,623733,853701,-1,855406,74434,-1,-1,476786,-1,-1,-1,-1,-1,-1,-1,-1,210792,393429,-1,57136,893427,354402,-1,507967,488721,444665,-1,-1,-1,371430,-1,454957,-1,290790,-1,380953,739971,346318,-1,594521,842611,-1,558416,96306,-1,-1,672231,173527,633360,-1,-1,-1,663767,329506,-1,100898,269064,-1,556165,-1,247886,629270,-1,153357,72401,-1,-1,-1,-1,601454,-1,944697,402634,-1,705334,787260,191156,-1,491413,793870,481374,341205,-1,-1,517521,-1,342970,-1,519717,812195,-1,-1,335645,422595,89274,314089,-1,127561,-1,932816,463545,553694,619012,350323,-1,-1,117636,264213,-1,62223,-1,-1,-1,-1,-1,883844,-1,79114,639478,544327,429195,-1,-1,-1,-1,967950,-1,149723,100132,465689,-1,647429,482396,-1,318838,-1,-1,-1,-1,881624,-1,-1,98576,-1,899659,643536,606769,499097,-1,78363,-1,208825,-1,-1,481026,-1,-1,-1,-1,759238,-1,-1,848963,228220,623147,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,267202,686969,-1,49062,590294,-1,-1,829840,-1,-1,-1,782925,-1,-1,367769,165215,100349,-1,-1,-1,697883,791016,-1,594060,-1,-1,582914,602654,639525,841258,44015,469367,390936,257830,-1,-1,-1,-1,-1,-1,-1,958651,95611,18378,796863,122625,41818,-1,497095,795897,-1,-1,-1,116533,-1,-1,857019,53619,-1,-1,-1,-1,995944,975937,41501,156402,-1,746949,183586,647187,-1,229033,-1,242399,307507,-1,-1,17179,47138,-1,-1,544155,-1,695324,-1,-1,780903,982645,-1,298753,611024,-1,-1,16497,589708,652932,210416,963353,141503,-1,-1,-1,-1,-1,-1,-1,385946,217700,440574,-1,127965,-1,-1,26080,97543,882277,440707,923628,-1,-1,960928,-1,-1,-1,747430,367539,413826,-1,-1,912164,-1,-1,-1,692264,553568,-1,277716,-1,-1,-1,-1,-1,218284,156232,-1,186464,-1,5584,560405,575387,-1,-1,-1,-1,-1,-1,-1,24200,611741,894641,929880,-1,88549,-1,-1,-1,406223,-1,-1,387776,373305,-1,-1,-1,355995,-1,15702,286291,46728,-1,756180,455292,-1,742588,-1,777723,-1,774199,72524,537787,-1,-1,65281,-1,-1,343628,-1,761817,-1,-1,-1,-1,-1,814954,-1,604914,783136,273468,-1,42640,-1,687794,409663,-1,27630,-1,671426,-1,700542,62126,-1,-1,-1,-1,983825,-1,547443,411763,-1,-1,-1,600747,842299,-1,-1,-1,865537,423073,663051,523846,293939,971444,291008,18506,916736,-1,-1,8832,-1,-1,55811,204954,845711,956989,-1,-1,275775,862039,144169,659441,-1,-1,309496,-1,-1,838677,71526,-1,-1,-1,148987,-1,-1,80264,698134,773829,-1,442349,31739,204077,-1,-1,407273,-1,-1,666426,-1,-1,-1,-1,-1,-1,-1,697788,168052,-1,541692,-1,705920,-1,999658,-1,512983,-1,806124,-1,327693,-1,799434,-1,994581,-1,649038,764618,-1,978158,481964,-1,-1,835016,628139,797764,-1,-1,-1,754288,-1,-1,250386,922566,179994,627576,-1,680563,424009,552906,-1,502374,438407,-1,-1,167909,896783,-1,319976,996868,-1,444874,-1,-1,753569,-1,-1,649105,-1,-1,-1,-1,-1,550236,773708,821804,-1,542406,725163,-1,181058,-1,737612,-1,9398,783678,-1,-1,-1,-1,29383,-1,-1,180402,-1,-1,539832,880306,-1,187914,336220,-1,479608,-1,-1,105028,765931,-1,160381,563040,-1,139941,-1,933261,-1,-1,-1,685670,222543,953834,-1,-1,972354,782451,938017,12412,763490,460288,659898,447863,694552,876571,933495,-1,-1,269274,-1,303812,926009,-1,-1,175177,665922,61483,-1,199138,-1,-1,291709,250599,-1,-1,941972,-1,-1,408963,864528,-1,462098,796129,-1,-1,779797,577059,-1,358322,-1,-1,807858,804912,-1,-1,63901,-1,336399,-1,-1,552405,365062,584622,659027,-1,-1,612850,813073,660368,386410,-1,-1,-1,686261,758066,945394,497934,-1,124652,867293,-1,-1,-1,-1,-1,249746,-1,-1,-1,-1,678614,451550,797261,882188,-1,-1,583499,-1,585158,478360,538317,-1,962668,-1,37646,279957,-1,-1,-1,934989,-1,-1,644899,-1,548009,-1,-1,461086,164907,-1,-1,372101,636130,-1,905746,-1,-1,-1,-1,-1,-1,-1,119679,710828,-1,-1,-1,-1,563948,-1,381612,659082,115153,-1,-1,671416,466158,110664,-1,453600,863876,208111,707388,-1,-1,967660,-1,-1,859168,-1,-1,358900,-1,153241,251736,792851,-1,359314,-1,154813,526264,83942,-1,862786,-1,542096,867214,876842,563566,-1,-1,706464,-1,-1,618538,954221,-1,816532,492754,659192,545179,-1,-1,-1,602748,-1,3479,-1,473946,-1,-1,-1,-1,154712,-1,-1,-1,-1,-1,113204,-1,362896,-1,457656,-1,197374,-1,-1,232315,767804,283347,341643,-1,91643,29190,932014,-1,-1,846892,667933,239973,-1,617866,226853,736363,-1,-1,-1,181010,-1,37749,597705,-1,-1,-1,730943,923788,140579,-1,151575,-1,-1,-1,-1,397681,-1,-1,91279,406785,369115,672700,521106,55446,-1,213200,-1,740428,-1,17310,-1,45965,659606,-1,-1,-1,-1,-1,956765,-1,-1,435978,-1,490350,108209,-1,703216,-1,458017,395384,-1,-1,-1,951680,403986,596755,-1,221869,-1,-1,-1,170538,-1,209753,89453,-1,-1,-1,-1,-1,943169,471049,598580,-1,-1,-1,-1,-1,-1,259026,-1,410275,617503,422635,235166,-1,206427,-1,44841,-1,-1,-1,-1,711953,923807,-1,-1,558521,-1,-1,140729,-1,-1,932489,214228,523840,-1,-1,-1,-1,-1,476386,-1,-1,301064,287839,607296,516586,811304,477068,-1,211600,-1,-1,591000,710022,-1,-1,480631,980731,238249,-1,355151,79420,273387,182345,-1,-1,213844,-1,-1,504877,-1,945708,-1,-1,522824,-1,-1,-1,-1,-1,-1,741990,748303,-1,694531,556308,754871,92431,405895,803435,-1,-1,709339,293898,-1,963657,912062,-1,-1,532341,246595,619758,-1,-1,-1,745958,407028,20937,97346,599583,888757,907087,427829,685103,-1,827857,-1,-1,-1,-1,-1,-1,633267,-1,-1,128469,215327,726824,-1,-1,117280,203695,706049,-1,-1,737351,-1,-1,206836,-1,245363,477304,704590,867135,40934,-1,812573,67139,663659,611784,59252,428982,892042,-1,-1,598002,523229,770493,-1,551194,-1,-1,825156,111339,-1,833757,-1,-1,-1,546983,-1,-1,140415,-1,570231,153446,-1,-1,-1,743439,176483,153646,259113,187769,155354,202320,-1,-1,-1,-1,430611,-1,-1,-1,-1,174303,-1,-1,762355,-1,-1,-1,829652,173028,605741,-1,420055,970979,926589,695407,248671,967576,-1,-1,127002,-1,-1,687250,-1,312547,265903,566635,454424,-1,-1,343331,193716,-1,137059,-1,-1,-1,883382,922705,-1,-1,-1,163481,-1,243051,-1,-1,563597,926107,349273,600520,-1,587282,-1,-1,-1,-1,980682,-1,445430,965241,-1,738439,390069,-1,-1,779599,-1,-1,-1,575699,-1,824017,-1,656196,818606,-1,-1,729105,46334,696752,11839,-1,-1,-1,222744,652745,-1,-1,233695,110855,-1,-1,-1,278094,-1,-1,684438,-1,823346,742808,-1,482669,167884,196162,-1,-1,670949,223594,-1,445652,8917,-1,-1,675898,942253,566301,714920,-1,289568,-1,108665,-1,292656,-1,-1,-1,-1,906670,428640,-1,946147,704890,184708,140759,-1,424149,-1,375857,-1,541572,-1,-1,46010,-1,445001,562075,245054,-1,493417,890159,415605,454920,358205,-1,-1,128198,305539,293712,458952,-1,522168,130111,-1,-1,-1,-1,-1,-1,-1,358653,-1,-1,561953,-1,-1,-1,-1,851694,15370,497726,914828,304178,-1,444872,-1,-1,3745,743810,157344,-1,69790,893796,-1,-1,161390,-1,-1,540314,-1,-1,-1,305554,-1,384130,-1,-1,431318,467994,400190,-1,50664,717558,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,228108,-1,-1,-1,432943,347225,-1,-1,-1,-1,-1,789031,-1,-1,-1,977945,355618,334564,-1,637758,-1,944397,-1,-1,966454,-1,485011,-1,-1,-1,-1,-1,-1,741065,-1,653292,-1,-1,923199,211318,-1,360102,-1,569743,-1,320352,-1,224760,984549,-1,417029,-1,-1,-1,-1,985303,332609,409960,259786,410699,-1,-1,546570,-1,132695,869771,-1,399906,375252,-1,-1,-1,575431,-1,-1,776845,-1,-1,-1,968469,-1,-1,-1,904182,51918,996633,-1,649735,-1,110128,-1,-1,-1,-1,-1,-1,95371,-1,652100,-1,-1,275176,-1,-1,-1,762531,319679,-1,297759,434772,-1,102749,-1,-1,586462,-1,-1,-1,-1,587959,75668,960118,589274,-1,-1,238848,-1,-1,381979,-1,506099,595155,472670,-1,-1,424805,-1,-1,426876,-1,-1,907255,-1,-1,291062,393962,254849,798054,523904,-1,-1,-1,-1,792220,277910,-1,-1,-1,-1,212197,-1,-1,-1,184336,-1,162286,670723,571084,324488,-1,-1,389610,-1,474593,611080,665559,-1,-1,647531,-1,-1,-1,-1,5923,-1,445765,-1,203119,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,252852,451463,523292,-1,-1,-1,257120,858527,-1,-1,179384,392985,-1,-1,-1,-1,-1,-1,335482,256200,526955,-1,-1,79145,871809,488016,-1,736051,-1,-1,581600,-1,-1,-1,-1,-1,-1,-1,-1,396968,98395,199442,-1,480929,-1,-1,134448,237151,823456,-1,487561,-1,878549,-1,901737,102234,791113,-1,-1,-1,234535,236704,478543,-1,664101,647307,174950,985966,973693,367923,684675,240365,-1,334100,238211,-1,844215,-1,-1,164012,798779,395735,-1,-1,62205,920699,-1,-1,490663,878527,281181,388219,-1,-1,614676,-1,-1,-1,521054,-1,-1,-1,-1,198931,626235,-1,894279,742805,-1,710261,-1,-1,-1,-1,-1,186380,324754,700477,-1,525578,787186,868364,200802,-1,29488,-1,949088,414446,-1,-1,-1,970993,-1,-1,-1,571918,-1,-1,-1,764904,-1,785636,298067,870954,-1,235928,804164,-1,-1,-1,-1,608994,-1,224778,925041,400879,-1,-1,-1,-1,955719,-1,471769,-1,-1,-1,187616,-1,-1,-1,-1,-1,-1,-1,-1,823070,-1,514287,-1,952580,-1,74958,806040,229842,-1,-1,-1,-1,-1,-1,260511,508251,43294,848786,-1,-1,267918,-1,16791,186460,-1,428006,-1,164984,700944,-1,-1,-1,-1,907249,936531,-1,-1,578783,-1,-1,-1,231577,-1,126977,-1,-1,587811,417268,181222,651950,-1,-1,600601,-1,243414,-1,907267,249494,297448,488950,-1,857034,-1,-1,254690,-1,638096,40001,816131,-1,-1,-1,757427,-1,-1,-1,-1,455068,74073,-1,-1,-1,638735,-1,980932,712572,216838,869687,430723,-1,-1,-1,296473,-1,979382,548593,514570,-1,-1,-1,-1,365751,46050,-1,-1,-1,89548,970070,-1,68506,52832,-1,-1,46848,221370,-1,491556,291343,3811,-1,238011,454694,708388,-1,-1,-1,-1,803057,-1,988308,-1,-1,441227,-1,-1,-1,601559,-1,140303,301745,-1,-1,684695,200173,-1,994148,60659,502536,604309,539885,312340,-1,639237,956961,-1,43107,509379,-1,451139,925960,-1,396110,884720,-1,-1,126772,-1,658650,353729,553529,-1,254634,879275,-1,191662,-1,-1,908503,-1,-1,-1,-1,441618,-1,684017,796359,442962,46292,432619,-1,902353,-1,935021,-1,664995,-1,929802,917629,-1,1905,-1,-1,326377,649829,-1,-1,-1,989734,-1,22923,179107,114375,864983,-1,348176,-1,-1,993733,-1,532085,-1,530684,-1,-1,-1,-1,817912,167897,-1,792752,816540,-1,898962,732260,-1,-1,-1,125065,-1,-1,36187,-1,-1,-1,778995,-1,-1,433726,-1,-1,-1,-1,-1,486267,932455,948140,906099,-1,111631,34165,473524,344307,-1,921297,177532,974955,-1,584654,562796,-1,-1,-1,725441,-1,27490,-1,-1,-1,-1,978255,178806,263855,972336,710058,427792,-1,382824,751036,-1,17524,685577,-1,-1,983047,763403,679433,739692,-1,277875,-1,-1,966669,-1,972099,136572,203481,-1,920423,-1,728740,80818,-1,131182,-1,227166,-1,443032,-1,-1,537920,551960,145426,-1,103541,-1,807462,-1,-1,290866,-1,-1,401369,277311,930327,922951,-1,-1,994459,824926,-1,-1,330129,-1,-1,716891,-1,258710,500543,-1,795808,861407,266059,-1,666795,-1,-1,280396,-1,627831,-1,498400,-1,-1,249687,-1,839266,562974,-1,-1,-1,975140,-1,934494,-1,-1,-1,-1,-1,-1,-1,-1,105704,-1,-1,234809,174223,-1,347311,-1,549075,-1,942454,-1,111129,900696,707266,-1,-1,874995,41156,-1,-1,466693,-1,-1,-1,244543,-1,-1,19166,21536,-1,-1,168693,-1,-1,969965,984169,-1,-1,140185,-1,-1,700541,10190,-1,836564,-1,459990,-1,664079,484120,178940,-1,-1,-1,877949,368058,-1,-1,-1,546142,522592,990337,333442,541433,-1,203937,446119,748163,-1,-1,252497,-1,531535,273237,970975,396462,-1,-1,44257,730577,-1,-1,-1,-1,48359,929953,90727,-1,-1,-1,-1,138137,-1,-1,-1,-1,328271,-1,615302,706863,221296,790969,397895,-1,-1,-1,898908,684941,-1,976056,-1,-1,540357,382393,-1,-1,-1,-1,-1,-1,885882,-1,257659,557503,-1,526162,937033,-1,572530,619222,659355,132640,-1,-1,-1,872338,-1,897366,242859,459113,804497,-1,884835,-1,682655,983648,937115,119810,-1,-1,-1,852177,-1,11030,487299,-1,718138,178640,170999,299055,-1,-1,-1,575355,262441,233516,418847,-1,394551,-1,342590,275365,792996,-1,94864,-1,-1,-1,962838,437493,-1,785808,25630,861174,-1,-1,-1,378298,959800,-1,-1,349175,-1,308582,147427,302022,819363,693864,-1,-1,609647,-1,-1,-1,-1,-1,-1,538448,281156,-1,-1,-1,885533,23020,-1,978579,-1,423122,-1,450140,957474,-1,-1,-1,922703,-1,654225,260365,476948,25939,670418,976928,-1,610660,543088,669279,-1,-1,-1,-1,458364,-1,920864,-1,288153,-1,432492,723922,-1,271686,382492,-1,-1,879997,233717,992480,-1,-1,-1,92119,113651,952106,103789,768821,-1,699698,991447,999046,737626,-1,150231,-1,-1,777493,453552,886075,449218,879984,-1,617959,463465,-1,826546,215481,414094,-1,946889,30449,-1,-1,-1,893426,361269,427695,-1,99685,-1,642912,-1,-1,-1,247152,-1,156559,-1,275558,379781,189134,-1,-1,-1,109974,-1,-1,-1,999475,777693,640698,727497,224043,-1,-1,324665,-1,-1,-1,55478,-1,-1,-1,862921,572424,-1,767730,-1,-1,-1,-1,-1,731724,-1,-1,810944,-1,-1,-1,490828,-1,932362,-1,397752,387423,-1,-1,704984,-1,-1,664141,536815,-1,786957,848142,-1,-1,861142,159286,-1,-1,845833,-1,-1,150035,210930,-1,-1,-1,-1,-1,946540,101724,-1,448037,356830,-1,740450,-1,408610,-1,412496,389576,366104,292129,-1,-1,589477,-1,-1,313341,-1,623247,-1,-1,768991,860322,-1,-1,508854,-1,-1,-1,712179,704944,-1,-1,901464,-1,693392,640348,-1,312384,775130,202936,140532,818715,-1,-1,-1,785063,-1,-1,155572,160065,366470,-1,-1,748623,100287,-1,-1,834956,543484,900343,486609,57779,800958,-1,782268,-1,846000,-1,570459,-1,-1,627819,-1,438644,-1,510896,108242,-1,-1,353692,56938,527575,-1,575305,-1,-1,949388,80804,-1,-1,265420,978750,-1,-1,-1,155192,382233,299139,-1,704433,69499,-1,107645,750638,-1,102008,57431,-1,-1,-1,-1,492500,-1,-1,861667,-1,-1,577052,-1,-1,-1,840605,-1,874117,81432,-1,481942,742833,-1,838945,-1,597602,176170,-1,-1,170799,762256,849016,335843,-1,-1,-1,-1,619067,-1,-1,-1,807898,657083,890560,-1,-1,786565,282350,67779,-1,119496,-1,-1,-1,-1,918808,-1,726443,113680,360374,978113,-1,-1,345403,293846,-1,-1,824938,703757,949735,-1,200588,533440,400602,364487,386444,445801,-1,433097,-1,-1,-1,-1,751812,236456,-1,-1,913919,732930,473998,415198,63181,-1,993091,891171,990777,-1,651539,-1,-1,-1,276558,451223,-1,444265,-1,-1,-1,-1,473976,-1,894949,-1,529258,649915,-1,34690,223316,556658,-1,81882,-1,356726,-1,-1,-1,-1,-1,967016,231339,784192,574193,681477,62783,-1,-1,355382,772909,-1,853940,419537,-1,887745,-1,-1,-1,52278,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,243163,-1,528539,-1,-1,172123,760529,426185,502322,27112,-1,537193,482470,-1,120322,-1,503608,739002,-1,632280,13193,-1,443293,-1,-1,305423,-1,635978,-1,944633,-1,-1,-1,-1,642803,-1,600541,-1,-1,910575,690814,-1,-1,-1,231247,-1,-1,-1,576700,-1,161055,-1,-1,546999,349240,633281,463802,-1,715517,664650,-1,-1,804306,-1,614095,227757,-1,597533,-1,630335,586358,392024,327230,783647,990388,-1,-1,609786,-1,-1,789266,613408,482046,596558,758661,431544,-1,-1,-1,210778,-1,-1,88109,562099,59171,-1,-1,-1,-1,-1,713093,204649,620488,-1,417914,-1,86713,-1,731859,-1,523125,-1,-1,-1,-1,-1,579075,903469,-1,691403,564749,892277,-1,-1,739816,-1,-1,-1,-1,-1,-1,740646,-1,165142,177828,275456,-1,-1,-1,-1,411614,102745,-1,-1,-1,978763,277384,588915,-1,-1,-1,-1,-1,566785,344343,-1,290466,210978,181231,290314,53245,-1,-1,100410,251340,-1,277332,-1,-1,-1,-1,281331,320580,463038,-1,-1,-1,742254,478584,-1,-1,-1,-1,-1,-1,-1,-1,-1,756851,-1,236424,-1,241797,-1,-1,-1,952125,354585,385047,885526,-1,-1,-1,-1,-1,-1,447710,755041,972957,209261,-1,926187,705687,218847,-1,-1,704966,-1,528734,519671,-1,-1,-1,618568,-1,412992,970556,188203,-1,-1,-1,589370,-1,-1,-1,834363,368316,319138,390144,87264,-1,-1,291771,581043,-1,979944,809123,-1,313011,-1,-1,-1,-1,822098,-1,-1,-1,-1,-1,501595,877654,926861,-1,911967,-1,-1,-1,-1,666593,-1,549684,687379,-1,243213,377509,-1,574494,-1,217150,-1,141544,928658,547698,-1,360174,762410,853318,-1,423671,454936,74620,847912,321282,34584,-1,239428,629896,-1,665157,-1,-1,125540,-1,-1,-1,-1,-1,539969,510009,255454,767587,55250,508056,-1,-1,649062,-1,177526,455929,411840,400960,-1,-1,915849,-1,164017,326902,-1,169504,-1,-1,-1,-1,-1,-1,698768,756763,-1,526988,752355,325566,951133,-1,469931,-1,809670,-1,-1,-1,-1,-1,-1,-1,-1,108777,-1,663271,827496,585055,-1,718309,251364,-1,-1,-1,443316,-1,-1,971985,672353,901672,-1,-1,-1,-1,-1,936566,757112,206950,-1,699953,-1,-1,-1,228898,939101,334081,167372,471413,364619,-1,-1,-1,206182,83904,-1,-1,-1,-1,7364,938032,-1,-1,422314,238593,-1,-1,-1,563871,814605,262233,-1,565891,642399,451760,467489,126242,231089,89232,960184,-1,940835,475065,180891,-1,-1,-1,35245,-1,565890,675011,116277,489979,-1,508932,729857,-1,-1,-1,-1,-1,794730,443004,-1,356279,679837,-1,-1,-1,-1,605789,-1,765956,-1,270566,-1,931385,984823,888514,499185,-1,-1,655669,-1,563287,-1,-1,-1,-1,498391,57178,888810,295275,875906,176891,802066,-1,21895,-1,283515,-1,443000,100918,-1,715038,-1,-1,875350,-1,715570,916708,-1,862454,-1,-1,-1,-1,349205,-1,315623,692589,-1,-1,-1,21236,-1,-1,378439,724675,647737,-1,-1,-1,-1,647200,-1,-1,-1,374822,-1,-1,-1,-1,218838,-1,932269,-1,380572,-1,-1,399108,-1,-1,-1,15452,910586,740031,-1,-1,529661,-1,304403,-1,197291,730646,92230,-1,648264,703577,783627,706477,-1,-1,-1,-1,476134,732448,897094,-1,86022,790057,-1,-1,512872,-1,149148,-1,-1,-1,827036,77165,573440,265389,597070,-1,-1,369833,727436,-1,-1,669840,-1,-1,268018,646233,170645,817891,-1,-1,532823,-1,241260,-1,269888,-1,871968,-1,806823,-1,524874,-1,237368,259675,-1,-1,-1,-1,560740,-1,-1,-1,-1,-1,475562,451353,604526,531812,-1,-1,65346,403795,726487,606469,268651,749114,400389,500293,-1,-1,-1,70075,-1,-1,209216,-1,250607,255717,859727,374730,324198,-1,595805,-1,-1,-1,59358,-1,157349,954600,431787,-1,739530,645151,414317,466787,609632,722189,528965,384335,-1,556856,-1,-1,422199,-1,614650,-1,-1,-1,-1,-1,-1,801384,296079,-1,-1,-1,752519,-1,-1,-1,282422,-1,175124,489320,748727,633644,-1,756946,-1,-1,-1,-1,-1,707913,-1,-1,698943,502805,-1,844729,-1,749171,-1,-1,103643,-1,435724,46429,-1,499772,-1,965967,516311,424769,-1,-1,244456,63752,536592,-1,-1,-1,-1,-1,129463,466765,277946,766443,-1,-1,676751,-1,703465,-1,436725,-1,-1,53799,810085,639533,-1,599698,407330,-1,-1,131106,404207,995469,-1,235217,154355,299100,854423,-1,-1,9069,-1,-1,-1,152429,-1,528104,-1,-1,771116,324956,-1,773582,-1,182377,738497,-1,-1,427915,893107,-1,-1,549641,-1,-1,-1,884088,89139,-1,311134,-1,111156,396911,801962,-1,354938,830288,894438,-1,-1,590281,254531,-1,-1,757128,-1,-1,715383,-1,912579,-1,-1,40663,-1,490635,-1,-1,33079,218523,-1,766054,-1,817727,776265,-1,-1,-1,385702,785274,264089,891502,-1,-1,600717,-1,-1,67294,-1,233783,-1,672200,846501,-1,242408,-1,-1,786769,-1,-1,-1,-1,228404,-1,111293,-1,-1,-1,19796,291125,873619,-1,94487,617577,853752,419014,255898,74382,510758,398840,-1,651223,-1,-1,-1,-1,984656,-1,610743,-1,-1,-1,879462,353424,-1,186955,-1,-1,-1,187017,-1,410033,628171,50680,-1,-1,-1,419629,11712,542051,-1,-1,184540,-1,-1,478144,-1,-1,-1,-1,451681,-1,-1,116123,615548,62050,-1,904727,-1,859060,-1,379103,688335,739433,100534,776502,431706,816711,843254,293169,-1,-1,-1,-1,563895,341600,-1,-1,678452,-1,53061,731833,4968,129252,468396,-1,-1,-1,907860,-1,-1,257468,-1,-1,843457,231301,-1,-1,-1,-1,431458,45519,725532,-1,501368,-1,80752,-1,-1,406543,-1,-1,-1,-1,584482,-1,279759,-1,338051,-1,866495,746508,99945,-1,685297,-1,-1,-1,-1,986057,433587,698484,-1,-1,638576,683527,961822,522568,-1,383362,595678,79960,-1,950805,-1,-1,762964,974301,-1,-1,686345,-1,-1,-1,-1,586363,460470,-1,970319,-1,-1,607133,-1,873810,-1,-1,157370,522131,-1,770217,558250,-1,-1,487080,-1,712372,469671,-1,707565,-1,501178,909562,-1,374661,825303,840762,-1,-1,217134,492461,-1,851444,-1,800766,693914,943306,234489,-1,-1,-1,65223,676849,955733,786625,-1,111590,-1,740618,-1,-1,860902,-1,55902,-1,360663,888385,890296,-1,-1,-1,-1,454983,-1,-1,337803,-1,241063,-1,742061,574391,-1,47516,-1,130942,-1,208727,962210,374002,-1,606338,-1,44361,-1,-1,-1,-1,624812,-1,163983,529351,-1,436662,-1,-1,-1,142712,505393,-1,599076,320607,-1,764359,347659,-1,-1,-1,-1,906319,-1,-1,-1,468559,979190,740770,680248,-1,163286,-1,-1,134613,107830,61057,509865,-1,-1,758712,-1,-1,-1,-1,58170,342192,-1,674328,-1,758526,-1,-1,258995,-1,461726,379912,-1,-1,740269,-1,306026,-1,-1,294669,881453,-1,200945,-1,-1,-1,407869,591505,470843,163646,88488,-1,-1,552464,-1,-1,-1,454778,881454,869569,500650,124048,-1,-1,386916,-1,190108,963205,114334,702075,-1,-1,738179,-1,-1,-1,483908,-1,-1,-1,616785,256727,-1,-1,-1,670724,228987,880471,-1,300009,-1,964912,339639,928903,198819,-1,-1,-1,991994,-1,869734,762132,102010,410713,-1,427263,277510,207523,100260,-1,560539,-1,545102,-1,-1,990768,355361,562025,2675,444938,-1,-1,-1,321622,271946,-1,-1,-1,343668,-1,465128,-1,733110,-1,-1,676766,698070,-1,36222,994039,752257,-1,-1,-1,794953,621420,-1,-1,967396,242611,-1,719992,74903,2259,555345,-1,857005,-1,-1,242386,-1,693648,-1,322791,214151,163755,-1,245857,-1,-1,118181,699100,-1,-1,185354,655387,120138,-1,-1,-1,642011,-1,296844,-1,372638,813726,-1,730409,-1,-1,275613,-1,901207,729898,-1,-1,-1,-1,-1,-1,-1,-1,-1,523836,-1,651438,542264,907159,462222,392738,-1,354956,839663,-1,-1,712591,-1,820004,770618,-1,-1,192219,-1,90028,-1,791173,-1,401106,452348,698924,-1,59029,766154,728734,124677,571301,-1,514777,143688,517344,547068,-1,-1,656101,-1,657980,-1,395354,598459,966236,553455,531820,671461,-1,724301,-1,-1,-1,-1,601615,-1,-1,499222,-1,182826,797202,-1,-1,-1,177772,307193,663886,847106,-1,-1,140910,547218,-1,-1,-1,473891,-1,56095,-1,998378,-1,660439,-1,-1,-1,-1,-1,-1,-1,-1,538978,-1,695880,595250,822423,104238,725476,-1,-1,41857,-1,78345,-1,-1,970100,-1,-1,-1,-1,426676,349896,196862,-1,240933,480713,-1,-1,822862,937211,-1,-1,818089,618366,-1,196336,-1,-1,659926,-1,109812,-1,162500,795776,717897,948971,-1,-1,-1,-1,-1,930721,982496,377506,-1,-1,306468,10025,-1,-1,265557,269227,-1,-1,662264,67321,-1,371046,-1,96366,-1,441022,-1,-1,-1,-1,898643,-1,-1,831066,-1,-1,419420,-1,-1,545050,313234,823624,-1,-1,-1,-1,542410,279086,346963,-1,900505,294905,205554,177114,-1,663989,-1,-1,-1,236262,6716,-1,-1,196006,-1,-1,586017,457661,-1,-1,656358,-1,773445,-1,-1,792764,810990,-1,870782,959436,34637,218971,284596,648184,912353,-1,124668,-1,347331,918767,311416,674158,326606,748554,64401,-1,401464,-1,-1,943497,-1,-1,50947,143794,871556,17256,-1,933228,-1,732062,-1,-1,366360,-1,-1,-1,-1,-1,-1,-1,806043,-1,-1,81667,825169,-1,-1,134139,594506,580426,210764,-1,-1,423631,-1,-1,111371,-1,-1,517801,140079,-1,631499,-1,555647,-1,-1,279962,104030,-1,-1,443981,434569,964012,-1,745004,-1,786388,650967,-1,-1,-1,-1,-1,-1,-1,195602,-1,728053,817158,281276,579825,644567,-1,334766,23381,458253,432829,389023,-1,-1,301027,-1,445137,-1,-1,-1,-1,411072,-1,118461,-1,660869,527551,-1,-1,840418,-1,-1,-1,848959,-1,-1,-1,-1,-1,-1,751025,-1,635632,13567,-1,-1,-1,868781,117641,-1,-1,-1,36771,454513,559700,754869,535227,-1,70004,-1,350588,-1,700473,-1,-1,523242,-1,529310,-1,302903,672817,-1,621759,818308,586622,874924,-1,376686,589561,209726,-1,254154,930908,-1,754805,637795,-1,549342,-1,200253,418633,380497,-1,-1,-1,396613,559118,750441,534125,349198,-1,-1,737160,-1,-1,-1,-1,387826,163952,234527,-1,890649,-1,-1,580526,-1,-1,-1,-1,871864,-1,359474,-1,299367,-1,-1,-1,334469,161038,-1,-1,-1,-1,681260,631346,754142,-1,-1,548205,859660,-1,-1,-1,191605,92155,-1,-1,-1,778065,-1,-1,-1,-1,-1,761663,765382,-1,-1,-1,798357,268269,122729,-1,669987,501326,254478,637707,-1,985867,557597,-1,-1,946340,353255,487608,298400,-1,-1,808270,885985,228996,-1,468001,874731,-1,843935,-1,-1,92249,-1,649619,-1,-1,-1,284878,648737,-1,-1,-1,-1,-1,709079,-1,392257,931451,28505,-1,-1,907922,-1,-1,996579,-1,-1,-1,495025,-1,991623,740943,-1,588356,-1,-1,515574,61846,-1,956315,-1,-1,-1,573232,-1,566760,407286,490396,86946,288959,-1,-1,633992,-1,827031,-1,-1,971202,904322,377868,122500,677044,-1,-1,216574,-1,-1,-1,169139,578143,-1,-1,826412,-1,-1,754048,899878,151704,705798,-1,443217,-1,-1,336364,100782,-1,-1,351585,247475,995235,-1,192239,67063,-1,353046,810856,652704,886854,17908,109801,-1,864409,184337,-1,-1,181499,-1,960913,-1,-1,736412,-1,781203,-1,-1,396150,537580,678923,731277,-1,-1,808039,-1,358538,-1,-1,-1,-1,824315,-1,272645,282040,370532,-1,902968,-1,322663,725913,20712,321400,241791,-1,466702,281854,-1,-1,579186,90276,21996,-1,-1,-1,-1,243100,-1,923321,711226,-1,-1,-1,-1,-1,634885,-1,309671,807298,-1,-1,-1,-1,-1,459261,-1,949007,-1,676944,923913,610937,235539,-1,103707,321291,626816,789214,421152,728928,829010,-1,5883,-1,-1,341941,429762,-1,847530,-1,-1,-1,-1,959510,-1,-1,-1,978321,-1,-1,203072,275872,-1,796312,-1,491066,189193,-1,500719,-1,-1,-1,649307,517012,370600,-1,-1,249668,877529,-1,-1,37653,66431,794196,-1,155967,493134,-1,-1,659131,447052,-1,276211,-1,-1,251447,-1,955961,-1,-1,632562,-1,-1,666463,-1,268577,252464,244038,-1,-1,718588,955718,131116,575360,-1,660181,709818,-1,1967,-1,-1,-1,-1,945963,464621,-1,-1,966226,887951,681902,-1,180200,-1,671760,235651,-1,-1,535691,-1,-1,-1,545826,688242,991281,-1,-1,129411,-1,899047,-1,-1,-1,841517,-1,496216,523727,510613,-1,-1,-1,-1,169127,-1,-1,268309,878511,-1,-1,-1,596060,-1,-1,-1,696054,420286,59742,-1,552333,680467,445846,-1,744283,-1,-1,565742,-1,-1,845311,-1,-1,241010,906749,-1,-1,398,803936,-1,345143,522434,-1,743290,-1,-1,952223,584378,-1,286922,-1,-1,675301,270252,667738,-1,897702,586943,-1,-1,9034,544611,-1,288887,-1,-1,-1,163225,-1,740678,-1,-1,-1,784876,601888,395684,332873,-1,-1,-1,-1,340894,-1,651683,-1,402632,-1,706954,-1,-1,-1,-1,741166,814944,-1,-1,699334,-1,-1,224931,-1,807212,425501,-1,718401,-1,805887,543890,-1,627167,-1,-1,887885,-1,-1,39552,-1,-1,-1,-1,651714,662293,-1,-1,-1,80086,-1,838724,-1,-1,-1,399314,492197,894281,-1,-1,115089,920232,-1,832430,543808,603278,-1,422232,-1,671802,-1,-1,189290,861866,-1,381928,-1,491700,708580,-1,-1,140686,-1,-1,-1,-1,-1,-1,4638,-1,291634,-1,48150,-1,941520,-1,35194,-1,118411,-1,-1,558452,982674,-1,-1,99547,486696,101565,-1,162223,-1,254555,-1,253988,-1,-1,815834,-1,-1,-1,698536,542281,-1,-1,170264,204469,768157,569616,169233,-1,220088,65997,646591,77441,-1,-1,733305,859900,368270,-1,-1,-1,-1,-1,-1,-1,536405,57494,-1,829461,133933,-1,-1,-1,421857,-1,559292,-1,-1,-1,220145,465590,-1,-1,-1,-1,-1,-1,87359,180476,376400,783305,212728,973481,624362,-1,248942,894727,675357,95281,747153,798256,385897,323526,-1,-1,652079,590343,-1,-1,-1,-1,-1,949690,930586,202298,-1,655785,860069,753956,-1,-1,216852,749023,606604,-1,-1,-1,-1,806422,800526,-1,725804,37777,-1,-1,-1,-1,-1,-1,601071,60358,-1,439300,-1,943630,369975,110176,627058,375871,-1,638659,-1,893708,-1,-1,-1,107599,-1,765811,709041,314970,-1,872116,-1,-1,-1,-1,448340,-1,739927,-1,984192,-1,789869,-1,-1,-1,-1,-1,363087,-1,734538,-1,121740,591227,464227,-1,243558,-1,962596,-1,-1,711957,847139,-1,297126,628723,366004,-1,775540,601439,603971,-1,-1,83282,706275,911139,537175,33226,734029,-1,-1,-1,-1,629104,879100,976637,-1,-1,-1,-1,-1,-1,160176,469322,-1,-1,-1,153881,-1,41311,362191,839276,989094,993186,224421,497394,669259,-1,103574,-1,901579,-1,792106,-1,-1,-1,444888,-1,-1,-1,-1,-1,-1,-1,-1,62257,425385,410974,-1,864074,433630,637745,86976,-1,774132,-1,526060,-1,-1,-1,889508,552630,679913,348145,48011,-1,248245,-1,525206,-1,-1,785202,-1,165996,-1,-1,-1,-1,701444,-1,-1,-1,-1,628991,442413,19308,-1,-1,-1,36945,-1,234328,811102,-1,-1,748120,635939,-1,992330,-1,951883,800518,28942,694464,-1,334350,-1,-1,240990,547482,771619,-1,-1,797975,927355,-1,911213,566214,407559,341488,-1,243468,396798,148430,950923,-1,811628,445181,-1,38955,-1,955172,128179,828220,975185,672644,-1,141904,73442,-1,114478,-1,-1,571904,-1,571539,-1,-1,-1,931130,909387,772491,-1,-1,638778,16567,-1,523217,637649,-1,-1,-1,-1,613663,-1,284392,-1,-1,-1,44379,39402,-1,-1,-1,-1,-1,-1,436656,280120,-1,-1,864161,246095,35875,-1,-1,-1,-1,175253,-1,-1,-1,296591,-1,569458,-1,-1,-1,-1,-1,389013,-1,895503,-1,678254,132233,417229,300011,-1,-1,-1,-1,-1,410904,780085,-1,164536,230865,476168,626306,-1,632511,-1,-1,-1,-1,-1,688235,953109,973235,-1,-1,-1,-1,633032,-1,587327,-1,-1,-1,-1,837051,-1,-1,-1,-1,-1,-1,-1,90920,-1,356630,-1,381459,-1,-1,426013,-1,386422,-1,-1,-1,-1,492066,301751,-1,-1,295311,837074,-1,-1,446688,-1,858725,-1,491485,-1,826318,-1,-1,752599,733649,-1,-1,868750,809345,-1,811835,930589,66909,-1,134598,301612,655513,-1,-1,528316,830406,626639,105046,-1,788717,-1,-1,-1,906508,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,989051,-1,-1,743155,470767,-1,366871,-1,906701,-1,-1,859757,-1,-1,-1,736405,-1,625271,-1,136848,-1,-1,761665,-1,828129,140931,-1,440388,98534,548928,-1,-1,812339,-1,171811,-1,51864,271542,660214,-1,270438,65511,675568,807606,969846,431788,-1,514791,731628,-1,-1,-1,-1,448818,444327,-1,-1,-1,-1,-1,-1,-1,677419,-1,-1,-1,496388,834320,774746,286697,674678,-1,713797,497023,803181,-1,-1,525210,-1,-1,994899,-1,-1,-1,-1,-1,976440,311193,700505,375681,-1,462296,-1,-1,-1,-1,57415,204647,-1,809977,-1,748153,-1,850981,-1,-1,-1,-1,132706,894647,-1,355338,745659,-1,82505,-1,-1,429705,-1,-1,-1,-1,149524,-1,236210,-1,544232,807859,237646,-1,-1,-1,-1,-1,519216,-1,-1,836570,-1,-1,-1,776542,-1,-1,396829,-1,793343,-1,-1,-1,-1,-1,-1,605921,443259,-1,-1,288982,171230,-1,316992,433135,998402,-1,-1,-1,290931,-1,600915,-1,620640,-1,-1,601147,-1,207744,-1,-1,-1,405921,194022,369504,525586,784189,645251,371200,-1,-1,-1,4242,-1,438721,67525,-1,349613,-1,-1,-1,246269,-1,-1,-1,-1,-1,-1,-1,-1,230506,455631,-1,922568,512177,254787,-1,-1,-1,-1,808147,-1,625057,-1,944803,-1,-1,-1,682856,529573,-1,242930,45809,-1,-1,634077,546963,-1,831178,552834,-1,-1,-1,-1,-1,282735,-1,-1,-1,758067,-1,439401,-1,514439,-1,409890,-1,675956,382309,-1,170212,-1,-1,912709,-1,-1,-1,-1,301718,-1,-1,845797,54885,154910,-1,639119,94757,-1,904969,310064,-1,-1,429039,234824,140927,-1,409480,-1,-1,161667,-1,353240,460468,-1,432252,663678,859642,512092,830617,991339,942281,25839,-1,-1,235703,445968,-1,-1,883807,744021,-1,-1,-1,-1,124007,-1,341333,558523,-1,881770,255157,-1,20083,-1,329014,127449,-1,-1,-1,813467,-1,-1,-1,-1,-1,118999,-1,-1,-1,-1,-1,-1,-1,3506,-1,478241,393954,-1,-1,-1,-1,290168,-1,338376,168106,877280,686278,-1,-1,-1,-1,-1,-1,399808,264601,381398,383639,842761,-1,306808,164900,270349,473281,-1,555275,96599,-1,358896,739681,777104,828986,955606,-1,-1,106012,177946,-1,88600,937403,-1,469957,-1,940387,-1,-1,-1,885370,124546,834587,861425,-1,24093,192066,941897,-1,-1,387584,951917,-1,840243,718095,-1,-1,-1,528547,-1,701828,418318,969355,857974,-1,988448,-1,-1,-1,603487,741345,-1,870253,16127,-1,841426,-1,872963,324127,-1,-1,545897,910497,-1,772480,785623,-1,316503,588513,-1,423746,262116,-1,593366,52609,596078,190983,-1,-1,581148,539269,713071,11015,226406,420134,67552,727469,-1,-1,-1,372506,-1,-1,502809,919546,-1,-1,829442,-1,849937,-1,-1,48013,999510,-1,702978,654766,-1,500951,-1,813947,-1,-1,950613,740389,723849,118983,86738,-1,-1,223597,-1,-1,995707,840699,-1,34435,303833,975723,-1,-1,-1,-1,318920,-1,311802,426313,-1,816380,155044,605427,-1,-1,105850,761915,586742,-1,-1,325810,-1,-1,-1,-1,642689,25250,-1,-1,836209,-1,-1,364485,921571,465910,-1,751709,-1,957051,782793,-1,-1,-1,-1,598173,782997,168286,-1,-1,-1,454278,567845,-1,-1,-1,234258,211248,-1,-1,639585,190802,-1,644337,293814,320166,-1,858152,874407,126941,-1,442333,-1,460154,852014,-1,-1,785121,565391,-1,838633,-1,620625,-1,488298,797366,-1,59328,35774,978411,-1,-1,779845,186800,39310,31943,415638,294991,-1,390316,-1,370235,940940,769326,-1,53774,-1,-1,-1,998955,-1,710367,-1,369604,792508,-1,125698,419142,667994,-1,119566,15009,505198,-1,-1,112214,-1,-1,-1,641722,-1,-1,-1,-1,184257,419897,481634,-1,-1,557472,-1,-1,-1,-1,64536,-1,-1,239282,-1,521651,307993,-1,948872,373987,198385,-1,-1,196098,-1,504188,-1,923169,-1,404498,657534,-1,-1,212202,854291,668540,-1,-1,268306,-1,-1,13183,575226,-1,-1,494354,-1,828150,-1,-1,-1,85089,-1,864296,-1,208614,804573,860054,281678,-1,182013,752404,227146,598951,738851,-1,710989,71275,-1,734420,-1,502074,-1,-1,33806,787627,-1,-1,300167,18532,157434,-1,-1,363253,47518,197878,414823,117456,452137,918792,127607,282979,702953,677591,202423,-1,-1,-1,522790,-1,215170,-1,-1,-1,797252,-1,532863,17521,-1,396560,446715,-1,-1,143024,-1,8971,-1,776868,-1,-1,-1,-1,185557,-1,-1,-1,754982,431987,859512,-1,402782,446436,-1,183120,-1,716386,586641,209072,-1,701238,107078,295663,472682,-1,225883,-1,192720,-1,31631,-1,220716,606022,-1,-1,14657,118385,399779,674972,-1,-1,646779,-1,113076,-1,-1,-1,-1,557608,670100,-1,-1,-1,604869,578410,891322,549770,-1,168647,450868,415442,968729,-1,-1,-1,-1,420842,691062,-1,724871,-1,315705,914223,-1,-1,353155,520905,-1,-1,265854,-1,860144,-1,26715,-1,232237,-1,-1,-1,-1,85644,766899,-1,-1,383744,617350,621078,934820,307958,63826,-1,-1,255578,780671,-1,-1,-1,18664,-1,890819,-1,301608,-1,768104,312475,853004,1497,118831,-1,-1,97263,-1,22976,307047,-1,-1,-1,-1,928057,61579,-1,-1,-1,638614,454307,595286,-1,-1,347701,842686,9262,-1,-1,-1,-1,-1,635212,385144,-1,-1,437045,-1,-1,-1,805169,22444,241015,-1,291397,524809,116812,479017,304693,807263,-1,74031,605951,-1,933789,-1,-1,300793,868308,-1,-1,-1,-1,-1,-1,234462,912642,-1,547215,519265,219714,555973,526072,408532,-1,227135,850281,-1,-1,778292,288386,-1,-1,244987,-1,402784,-1,-1,-1,-1,-1,-1,224970,157042,89151,325148,118114,-1,504863,-1,-1,-1,636964,395984,221518,164689,714474,-1,-1,-1,79109,-1,866640,-1,-1,-1,-1,865451,-1,960233,38450,-1,-1,444175,786065,579065,648761,778120,-1,721725,-1,786276,-1,297532,-1,600279,533592,413338,791955,727810,-1,216976,-1,42435,-1,-1,91776,-1,988913,689664,321743,933371,-1,966646,944181,-1,-1,-1,804409,-1,-1,-1,117668,-1,987009,-1,526011,533167,-1,789243,175896,-1,-1,627138,506989,302386,895214,312113,581335,693051,167407,22784,-1,-1,-1,-1,686723,-1,-1,79295,-1,-1,-1,-1,-1,63356,913709,851331,221994,-1,995727,408051,786160,-1,793933,-1,-1,413104,3861,298810,242117,435663,744246,850490,-1,-1,493957,864770,-1,-1,84747,958092,-1,-1,223951,-1,-1,223108,-1,918122,-1,-1,-1,17445,868701,-1,-1,904653,-1,-1,853857,-1,569425,971822,-1,-1,372151,626735,870757,-1,-1,396159,-1,-1,800385,-1,613759,-1,-1,-1,132860,901306,-1,-1,257467,969974,997594,195166,-1,754701,-1,-1,543203,-1,-1,412778,518968,259329,-1,579143,784132,314845,922759,397158,309412,-1,504912,-1,-1,996952,822201,946563,-1,-1,-1,-1,306980,-1,-1,361780,991770,133497,-1,-1,-1,-1,929427,-1,-1,-1,643747,329325,904547,815048,-1,685296,729449,-1,-1,772888,-1,376352,541968,515670,-1,-1,-1,18545,836246,-1,-1,533802,-1,-1,550826,649789,688648,967675,752392,-1,-1,909628,787341,-1,-1,207746,920976,383185,-1,584384,-1,761823,469528,287984,746654,-1,-1,-1,963770,93372,-1,-1,454414,-1,642810,165301,46131,-1,-1,-1,-1,939651,-1,-1,-1,597828,-1,685442,-1,360359,461555,162983,11484,-1,-1,-1,293290,-1,-1,-1,676895,710178,-1,-1,975216,720096,-1,179336,-1,-1,192599,-1,790092,-1,-1,325459,306921,344641,280912,491867,-1,-1,-1,859278,-1,540022,771342,704212,-1,-1,-1,-1,511427,936945,-1,381145,-1,152936,243480,-1,470033,313489,608232,968650,15710,-1,-1,-1,617942,-1,28824,-1,778569,375297,763359,-1,-1,443810,35151,-1,-1,-1,-1,547442,-1,-1,355921,748013,202889,-1,78155,-1,972457,861546,-1,729580,760132,-1,-1,145971,109927,394866,-1,-1,179977,-1,-1,-1,-1,41799,-1,794895,-1,-1,872596,-1,700206,546851,618107,-1,-1,287104,-1,71537,599836,640657,-1,-1,316827,-1,-1,269710,-1,220706,-1,-1,840074,185139,-1,96340,301094,-1,-1,327904,-1,912757,22515,-1,14381,-1,641666,-1,665650,888576,957620,-1,193025,-1,848338,-1,835743,-1,362466,373673,-1,728111,888186,696273,612798,-1,-1,18972,-1,-1,-1,36448,144581,-1,441127,-1,-1,-1,-1,33691,-1,-1,-1,682401,-1,-1,783121,-1,186428,24370,130145,738816,378946,45479,946421,-1,254012,858595,310714,293982,-1,-1,-1,-1,-1,-1,-1,-1,291521,518157,579168,-1,171469,419966,971086,-1,-1,667336,-1,979215,-1,-1,392432,-1,-1,-1,957636,753590,390060,890852,-1,636349,-1,-1,-1,-1,757355,-1,-1,-1,778670,-1,530793,249834,-1,-1,-1,-1,-1,-1,-1,942264,919517,168885,-1,-1,995311,-1,535620,223367,752432,95110,622417,251658,-1,737076,284140,-1,-1,-1,808452,173676,-1,-1,-1,784241,751427,247143,672721,269440,518129,-1,297165,-1,-1,-1,-1,513048,227210,717578,213740,-1,-1,903320,-1,721844,172520,616519,446639,40202,-1,-1,-1,804750,781922,-1,122544,-1,-1,844449,111386,-1,-1,-1,843102,789241,312103,247471,977904,53678,31148,-1,-1,653242,-1,456006,-1,403128,568662,-1,-1,661214,835523,465915,805023,-1,-1,-1,221564,-1,419719,-1,43451,-1,-1,488903,-1,775773,772158,-1,-1,-1,-1,462613,-1,876018,15649,933500,-1,-1,-1,-1,614820,763489,-1,-1,831210,-1,-1,-1,-1,628769,-1,242065,223959,863474,-1,710151,614586,795018,309585,-1,-1,-1,771126,-1,935492,-1,-1,-1,985999,-1,839995,-1,776589,-1,87234,-1,-1,-1,-1,213685,674037,-1,-1,-1,631710,298600,-1,-1,326224,224302,-1,-1,-1,176104,373076,-1,-1,434956,31437,47230,-1,-1,-1,453230,225468,697482,-1,322766,-1,-1,906922,446864,-1,564335,602642,588795,-1,189065,753139,384306,-1,655250,415310,652676,236003,-1,19305,115782,-1,-1,-1,382063,-1,-1,665134,-1,-1,731959,196154,530966,85042,741164,-1,-1,-1,-1,60487,121725,-1,-1,978868,958506,-1,81945,-1,-1,541288,141715,718175,-1,371721,942171,-1,388799,343731,-1,-1,-1,854702,527678,-1,359370,736773,-1,599486,843206,331751,-1,-1,-1,-1,981178,479736,174830,754531,497478,920244,-1,-1,414746,-1,-1,128098,809013,-1,-1,66881,-1,-1,697548,261418,-1,720848,948251,516077,77476,-1,616743,638494,-1,898984,-1,139575,292266,353824,-1,-1,601101,851964,584567,-1,882829,-1,669018,-1,531660,83294,798385,-1,-1,-1,327833,-1,-1,659315,287968,-1,-1,-1,-1,772171,264343,-1,-1,789544,-1,172801,397231,-1,452740,-1,-1,-1,-1,177295,-1,-1,415081,350191,-1,-1,-1,-1,912335,-1,-1,800190,-1,201050,249166,-1,443216,-1,-1,120518,-1,756389,-1,14135,925386,-1,-1,-1,-1,869725,-1,-1,-1,-1,-1,706215,-1,-1,-1,-1,-1,-1,720465,142540,-1,873075,-1,-1,-1,-1,749740,-1,665912,-1,972046,-1,-1,-1,595938,-1,-1,907781,-1,-1,643474,-1,-1,-1,-1,-1,455236,-1,310015,284169,-1,-1,809108,-1,-1,-1,130593,-1,171069,716896,658,391135,-1,-1,487655,-1,814750,357389,-1,154958,-1,789407,879855,481699,-1,714863,-1,954692,-1,844120,496017,-1,414172,48586,455979,-1,564656,-1,-1,975987,-1,-1,933434,-1,48878,-1,376729,665392,-1,-1,-1,622994,-1,457376,-1,-1,-1,316289,226916,-1,-1,-1,-1,-1,946165,493398,579769,980567,722422,789159,-1,-1,187620,-1,714179,52503,479833,163525,76642,-1,-1,698638,-1,-1,-1,926709,688868,-1,-1,-1,314022,-1,-1,235778,-1,584078,-1,542304,-1,-1,285599,-1,241767,-1,-1,819774,-1,816977,8063,-1,466228,13736,-1,925272,38485,-1,847804,284782,525813,844941,-1,902357,-1,-1,709476,-1,828491,51582,966289,-1,675445,806943,321755,387896,79754,254476,-1,360635,273844,183068,-1,321452,-1,-1,-1,-1,-1,-1,-1,931632,-1,-1,751509,-1,825942,-1,298632,-1,-1,-1,489229,-1,842000,-1,-1,258393,277059,-1,-1,-1,717646,-1,-1,-1,-1,-1,-1,-1,586213,389438,607637,51012,616151,120988,-1,989235,514880,-1,165942,96285,-1,238481,-1,-1,580360,-1,339699,-1,-1,-1,17857,-1,-1,598919,17563,-1,-1,-1,25871,469763,724576,805998,-1,701513,939670,-1,652528,297584,354311,-1,-1,-1,-1,-1,372312,-1,-1,-1,380473,-1,322090,312440,-1,961068,-1,985776,153737,232653,810767,-1,928403,-1,-1,504671,665515,496747,112606,-1,132666,972249,-1,-1,115389,-1,-1,987105,-1,-1,-1,834305,521303,-1,-1,-1,-1,104444,-1,274563,84250,-1,-1,-1,997148,-1,81669,691756,-1,713188,-1,-1,505241,-1,-1,634289,861111,646320,388437,271701,-1,-1,-1,621297,945403,-1,927159,495436,186135,-1,-1,-1,873328,853252,254172,80419,-1,263427,-1,-1,798613,-1,-1,997810,-1,990245,484086,-1,52586,-1,214889,-1,-1,925575,21581,-1,-1,-1,479263,301350,865234,-1,-1,-1,566584,-1,-1,292635,-1,76590,-1,674106,515579,-1,743214,-1,752483,34593,613782,598206,42398,341668,-1,-1,26817,826526,-1,623933,-1,-1,923527,-1,97887,-1,620515,900349,393669,-1,403037,842804,-1,-1,99471,-1,265163,-1,-1,-1,552681,655281,-1,57316,929504,332957,-1,472356,214935,472430,790016,966017,474551,-1,356612,831396,-1,622704,4978,-1,968512,-1,-1,257251,-1,-1,512073,-1,-1,739837,-1,-1,-1,-1,-1,974450,672343,-1,-1,-1,-1,167722,-1,528528,437534,779834,535544,-1,478047,-1,656375,-1,-1,-1,-1,-1,441556,-1,382277,-1,-1,249607,-1,105732,587598,508589,721743,654268,-1,-1,269911,-1,705532,-1,304958,29736,-1,583613,972130,813146,452271,407402,62292,374990,-1,342631,407718,684903,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,883700,-1,-1,282952,-1,206580,393807,-1,793490,158026,-1,-1,847528,-1,534933,-1,-1,506522,-1,-1,974494,-1,-1,-1,-1,9634,-1,18481,-1,55469,930827,151994,-1,-1,-1,92890,-1,-1,-1,-1,-1,348258,-1,40705,206854,-1,-1,-1,926417,-1,379910,28732,419347,-1,741304,-1,-1,967698,-1,-1,860821,-1,386388,-1,949468,-1,-1,157940,619135,-1,401814,-1,363355,-1,-1,712672,274303,-1,225189,628410,904849,-1,352708,-1,-1,-1,-1,569662,109789,-1,-1,486679,426308,-1,-1,-1,-1,337431,-1,599389,511121,745077,160926,836097,-1,-1,-1,-1,814918,649210,815647,15445,-1,-1,-1,572204,457793,224271,-1,846168,-1,-1,478169,417909,-1,468403,-1,997591,677316,653041,300734,-1,-1,487084,-1,530517,-1,198126,220641,543092,-1,-1,359422,678738,682973,722166,-1,411921,86893,264972,155371,-1,-1,-1,887386,794803,-1,798892,751719,60537,-1,817385,873357,952075,-1,-1,425525,-1,-1,-1,574993,926550,-1,-1,974062,-1,-1,583657,263485,15316,-1,-1,503136,-1,53065,380172,325990,-1,97741,42251,-1,-1,-1,-1,35186,84004,-1,-1,-1,-1,-1,-1,984303,-1,-1,974737,509749,-1,-1,662745,355009,-1,-1,-1,150571,106673,849751,-1,691044,-1,630778,-1,395382,-1,589908,-1,186008,545232,-1,749013,-1,-1,990476,771988,-1,-1,170071,374210,217374,184451,950429,-1,-1,617792,-1,756966,-1,-1,-1,-1,-1,8645,-1,-1,-1,732492,149213,-1,-1,-1,373486,969657,850122,471419,885987,815127,251281,-1,-1,929352,445829,886573,691406,-1,130702,-1,653330,-1,-1,492554,-1,-1,-1,318160,-1,262444,-1,58437,-1,697754,-1,-1,-1,-1,396592,40989,-1,-1,-1,361687,404647,-1,426416,380738,-1,-1,-1,-1,101327,104036,-1,702212,-1,289855,-1,661165,465461,766104,-1,-1,679041,-1,33327,-1,-1,-1,882224,432944,-1,-1,-1,49134,-1,-1,-1,-1,-1,624024,-1,-1,-1,456948,-1,-1,794446,-1,687341,186899,889324,-1,202470,420730,-1,-1,384097,-1,369304,-1,927075,-1,708175,-1,263230,-1,-1,26665,992055,-1,-1,-1,630617,610776,511416,-1,902834,-1,537376,-1,850898,-1,-1,792529,-1,607368,-1,-1,-1,-1,141694,-1,569834,65161,-1,-1,-1,-1,630628,610371,848855,-1,-1,965236,-1,-1,626040,380298,35767,-1,934860,-1,905667,-1,553828,-1,-1,932597,-1,-1,59302,688597,-1,764754,99420,-1,-1,304112,-1,-1,-1,656990,733873,-1,-1,-1,885948,249050,524196,-1,-1,366252,881092,-1,474733,-1,524475,748559,689477,-1,827213,-1,619726,-1,626373,725734,338137,-1,-1,-1,-1,469153,-1,465084,-1,-1,-1,-1,340553,351429,-1,776358,-1,233190,-1,-1,-1,-1,-1,630696,-1,-1,-1,362598,-1,110860,300824,23781,243795,795877,-1,678787,-1,949630,-1,824241,-1,-1,556643,-1,-1,431679,978445,836972,283327,885197,-1,-1,458974,-1,60049,285696,898108,-1,802973,-1,-1,948653,-1,790065,949287,-1,353684,649666,659112,-1,-1,878844,138572,837692,574397,-1,-1,-1,372721,440793,390773,452880,14729,307771,-1,567720,711951,-1,27865,307219,-1,237015,458816,-1,-1,-1,-1,647685,-1,908132,-1,720709,606973,591561,-1,-1,896610,540570,-1,-1,793965,625033,988344,12114,-1,-1,-1,792361,817652,-1,350305,-1,-1,390085,44952,60853,-1,374720,-1,672206,-1,20164,-1,98660,-1,-1,-1,-1,159403,-1,155773,740812,-1,187193,-1,-1,482663,-1,942643,-1,-1,170672,-1,-1,33023,-1,-1,676773,-1,664859,14448,498432,380466,-1,-1,930557,-1,-1,-1,637177,-1,-1,861092,51871,-1,494311,-1,-1,-1,-1,474177,-1,-1,615988,692820,-1,875052,-1,382962,-1,-1,99357,537210,870531,943144,-1,263794,204986,422132,-1,674776,-1,-1,-1,727548,-1,612319,872988,880166,-1,-1,845304,-1,-1,254898,767892,734260,-1,-1,877682,871394,886567,-1,-1,-1,198792,320081,757946,656306,938504,-1,-1,670302,-1,-1,365412,-1,-1,-1,421853,10220,242403,254973,470906,945715,-1,-1,-1,-1,830978,-1,889303,-1,816531,-1,-1,-1,174910,270387,-1,-1,266553,-1,298185,304495,-1,214848,716250,772895,323633,555445,60144,-1,768941,-1,-1,-1,-1,-1,-1,-1,557539,-1,184565,-1,-1,876207,-1,-1,-1,378217,-1,-1,-1,726906,-1,-1,192902,474559,973877,-1,-1,-1,-1,400869,-1,-1,93844,290085,697052,-1,-1,748040,-1,-1,615492,-1,-1,-1,754632,-1,522150,-1,-1,-1,-1,-1,-1,29627,884825,-1,-1,463953,-1,479064,566771,-1,-1,-1,580075,-1,-1,961516,-1,-1,351161,-1,417520,443827,-1,-1,-1,-1,224690,428275,-1,31676,438906,-1,525440,-1,446535,820844,-1,-1,-1,-1,141770,-1,239554,145048,-1,733362,135740,282233,-1,519927,305981,-1,843049,-1,275930,-1,-1,626328,628272,636593,446699,-1,-1,989449,686944,94198,-1,453475,694472,-1,447316,191449,781850,-1,32509,541512,32807,578731,481486,-1,-1,-1,711362,273002,-1,-1,255567,-1,-1,699231,56514,748507,-1,-1,33988,692938,-1,634920,-1,822977,-1,-1,1438,-1,794810,561144,826749,-1,536099,364606,-1,829320,-1,-1,469465,-1,-1,-1,215253,72685,-1,67236,-1,-1,-1,657164,-1,-1,240666,-1,960171,15211,357123,931665,138069,-1,-1,-1,-1,939975,-1,-1,-1,-1,462671,-1,31424,-1,48743,236944,-1,710839,374151,-1,40399,-1,942357,-1,776896,-1,-1,520843,-1,-1,-1,-1,-1,-1,-1,635100,-1,-1,-1,-1,325991,843756,-1,580989,330755,-1,391165,-1,739507,948584,615038,202010,217695,-1,-1,329373,843546,-1,-1,-1,-1,-1,-1,-1,-1,-1,39844,688811,5913,-1,-1,465127,832318,604167,859272,992994,-1,368976,-1,-1,829720,310285,99475,172345,365358,929166,609323,-1,274934,520264,765482,591251,-1,563603,-1,-1,-1,-1,-1,441851,492366,-1,-1,-1,-1,-1,647432,-1,807359,34657,775358,660051,-1,-1,483377,-1,108516,627186,-1,12146,-1,-1,-1,-1,-1,224795,-1,969909,-1,622893,-1,-1,991686,-1,-1,220245,-1,337331,636214,863030,-1,381550,771383,-1,-1,425709,-1,332156,-1,988911,499913,-1,230737,315834,-1,-1,-1,-1,452027,775603,319980,481792,-1,-1,-1,-1,739944,-1,-1,-1,-1,149580,536535,-1,-1,-1,-1,410646,364253,-1,413242,161899,544745,46785,362414,-1,250877,-1,-1,707115,944953,-1,812734,347876,-1,821675,-1,-1,456367,-1,-1,677676,888216,-1,798478,551720,-1,30144,197605,-1,240173,434258,889700,-1,-1,326828,-1,380453,-1,-1,-1,193287,-1,688319,-1,-1,802286,-1,464904,-1,261741,883334,-1,441186,658656,-1,834529,-1,54506,625377,-1,-1,148266,211635,-1,-1,69112,757579,638495,595911,189499,688305,527895,586968,-1,-1,287574,412885,-1,-1,-1,709232,-1,89443,981262,-1,-1,464567,767556,790487,863810,656726,868728,13800,-1,597280,600193,411191,-1,690719,942898,473980,778716,-1,842756,-1,-1,-1,59036,942784,276770,-1,399982,778164,-1,-1,642780,961698,787077,-1,-1,701204,503191,-1,-1,36915,-1,821532,339589,-1,861215,-1,-1,-1,516119,798584,475932,742830,-1,108382,-1,309813,889450,473633,317045,476403,-1,-1,-1,-1,530924,352685,532214,-1,-1,806306,161037,-1,-1,-1,675874,837636,-1,766137,-1,230782,-1,-1,-1,710487,-1,-1,411905,-1,-1,638392,-1,-1,243710,-1,-1,-1,-1,-1,-1,832834,-1,421501,-1,-1,-1,967292,-1,323118,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,131740,16429,-1,954052,-1,-1,312020,-1,-1,-1,191760,-1,187433,-1,-1,-1,-1,-1,-1,-1,248416,578785,221801,881119,929685,-1,-1,832721,807042,775101,-1,-1,881595,584048,-1,-1,-1,-1,-1,-1,-1,379505,-1,-1,524643,-1,874950,-1,549780,-1,-1,-1,-1,49176,606424,369945,-1,699670,-1,896932,39305,477695,-1,-1,566645,-1,201363,-1,662130,-1,435187,466708,-1,675362,-1,973561,174310,476892,694254,-1,597241,-1,307295,-1,-1,253967,172731,-1,896090,-1,866316,37742,332178,-1,-1,172851,613603,-1,-1,695988,-1,-1,122139,121615,-1,476762,-1,368399,768452,572570,-1,957593,658404,860972,76771,616599,884533,-1,492237,-1,-1,167796,-1,-1,315459,-1,292948,402575,79933,-1,406094,-1,773005,443129,-1,-1,-1,-1,-1,-1,-1,133083,255238,106031,646237,179163,-1,944029,357463,712639,-1,-1,-1,488096,-1,-1,105438,-1,-1,-1,881170,-1,-1,-1,-1,928409,483580,-1,-1,283339,-1,9359,89732,27614,330858,-1,778072,-1,-1,856685,-1,-1,43884,917554,489698,196250,-1,150028,152792,-1,591046,-1,851101,511253,826447,-1,-1,386358,82290,-1,-1,867679,954219,-1,-1,866055,718345,458603,388023,987172,902251,251686,351102,-1,-1,726297,-1,248257,-1,919882,441232,496013,346878,139784,-1,511663,-1,-1,885961,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,7822,823576,238438,636433,412635,-1,617955,995855,-1,667545,-1,-1,-1,-1,-1,-1,-1,-1,838576,746115,-1,-1,-1,-1,746831,80049,-1,577628,-1,441611,866917,-1,-1,383103,-1,-1,-1,10798,-1,87558,-1,-1,505368,-1,-1,-1,601075,-1,-1,-1,-1,382673,386169,-1,844856,-1,-1,55864,-1,865621,-1,468944,26357,900788,207259,-1,-1,-1,-1,-1,78722,-1,-1,931642,484307,176889,-1,335165,-1,396963,-1,643191,-1,411124,-1,191904,-1,-1,178661,949702,64343,79033,828692,634109,-1,345350,-1,115328,620069,-1,-1,-1,-1,-1,691885,996815,-1,-1,-1,443591,833142,-1,-1,-1,842118,879753,2050,815443,243416,275287,-1,262516,-1,-1,89421,-1,135190,290329,-1,-1,-1,145901,-1,-1,902599,-1,641780,25608,-1,-1,991235,944719,777732,-1,402105,813554,585153,-1,93846,-1,-1,524870,252071,851085,-1,-1,-1,-1,-1,-1,-1,181421,-1,-1,-1,398674,-1,484479,-1,626304,-1,711964,-1,989078,311213,-1,884362,448522,-1,42520,-1,-1,613553,152763,-1,663089,873433,120907,102724,-1,-1,-1,-1,988556,740307,693661,-1,56057,-1,-1,-1,110451,402219,351832,21742,-1,-1,-1,-1,832083,490407,-1,589014,698033,-1,499169,491266,683736,-1,-1,-1,-1,-1,-1,486500,-1,698009,563508,406138,261774,62328,853320,-1,365027,379102,403892,-1,-1,-1,583097,-1,-1,-1,611832,-1,-1,319631,562688,830916,690201,540898,763152,439888,-1,-1,630954,304628,-1,-1,305066,951426,-1,-1,555523,-1,-1,980281,-1,-1,102979,658075,-1,-1,-1,329485,-1,-1,-1,341081,-1,-1,599584,-1,-1,498115,315650,-1,-1,-1,624571,-1,931736,-1,-1,604279,924387,-1,315501,-1,-1,230999,379455,-1,-1,854551,-1,531020,-1,-1,-1,-1,-1,667792,-1,-1,-1,434964,172197,842216,-1,459559,-1,-1,-1,-1,-1,-1,391179,601058,475997,113013,-1,-1,481206,-1,-1,143473,-1,795700,712533,-1,752567,-1,-1,-1,-1,-1,76372,-1,637847,-1,227890,682535,-1,458825,-1,2013,776195,-1,-1,-1,-1,-1,-1,221554,-1,236269,-1,811300,620658,17235,-1,865469,545934,338585,638607,-1,-1,144765,-1,322688,-1,-1,-1,503661,128388,275831,770652,460873,388091,686631,978019,444001,46253,-1,119341,-1,7473,499023,1133,-1,-1,183779,-1,-1,-1,-1,132476,609977,21646,362559,191641,371475,909829,705940,21853,-1,-1,64265,-1,-1,954195,722029,-1,-1,-1,505630,-1,-1,139321,-1,460563,-1,-1,-1,-1,-1,762274,858389,998189,-1,689584,730757,-1,90771,128777,-1,30278,-1,-1,221141,-1,37983,419735,-1,298485,-1,331787,361346,992696,670272,199532,-1,137185,-1,-1,-1,-1,-1,868901,243887,357185,-1,-1,220487,-1,-1,-1,-1,-1,529782,783964,-1,265914,-1,65597,360032,-1,-1,-1,470347,520914,-1,-1,-1,456277,-1,-1,65591,485459,193026,810639,-1,707023,702275,259223,621937,219481,-1,-1,531122,387168,-1,-1,598199,818932,35560,627939,6556,942646,243914,-1,-1,-1,940867,-1,374126,981206,21968,-1,59653,-1,-1,-1,-1,187450,71229,-1,629154,-1,-1,724516,-1,-1,-1,-1,897251,-1,-1,931219,679495,188176,806783,341168,-1,970193,-1,408808,-1,-1,-1,523609,378723,432603,-1,-1,587141,47705,682658,636360,-1,-1,104420,-1,-1,196379,-1,468320,340330,-1,-1,-1,-1,540956,506706,-1,834993,-1,74578,-1,834462,391616,96652,769081,-1,570514,670441,87056,-1,-1,-1,521803,-1,957956,725569,352695,-1,-1,-1,-1,715106,53838,28127,-1,839136,779130,126205,-1,375820,-1,-1,-1,-1,-1,-1,703728,38502,-1,-1,-1,-1,716359,99764,-1,473856,-1,-1,-1,-1,321579,460603,-1,295257,809080,-1,-1,966515,624462,986025,350203,109799,223530,516595,622013,795806,-1,-1,-1,611175,-1,-1,129394,-1,-1,-1,-1,-1,16275,-1,791355,314773,618452,-1,-1,575871,-1,-1,914664,807287,-1,402321,32800,798322,790399,887875,221075,782702,356415,912895,779086,202377,526854,414294,-1,147247,816176,-1,590222,628575,-1,743825,202157,754839,-1,277337,155378,-1,245254,382374,-1,-1,735574,991337,562821,-1,-1,-1,-1,-1,293253,-1,879887,354976,276661,29208,37375,704114,-1,-1,533299,206604,963675,686017,-1,-1,618783,-1,721441,-1,-1,319939,-1,-1,513944,376278,-1,354399,-1,137129,-1,610020,863409,-1,-1,262468,546858,36972,-1,860179,548939,-1,594133,643576,-1,-1,-1,156595,-1,-1,-1,-1,-1,126283,976280,-1,-1,-1,602854,-1,239494,-1,850410,612136,-1,893653,656964,-1,-1,595982,694282,-1,357715,561792,761549,612520,-1,-1,123415,665329,-1,685800,884740,548144,986468,831039,-1,-1,-1,-1,-1,999856,-1,886953,-1,-1,896142,-1,-1,318015,186,-1,664500,12586,77151,521956,143779,-1,-1,250574,-1,453879,103943,-1,-1,-1,277694,216222,-1,-1,735349,822982,486140,40805,-1,462771,168327,388556,797756,473230,-1,-1,-1,-1,-1,372218,-1,-1,416048,-1,-1,-1,-1,-1,-1,802648,715841,684769,837770,196284,-1,600015,446726,578787,510315,72226,361295,-1,-1,-1,-1,78004,-1,111594,803817,353696,-1,-1,258619,905374,240021,-1,-1,380160,-1,-1,-1,-1,925811,285906,916832,735789,-1,236692,-1,-1,983833,944160,52719,147373,657023,-1,-1,718382,-1,884275,-1,541176,751005,448498,-1,583585,-1,-1,902680,-1,-1,782305,-1,151339,405491,-1,278372,826379,374142,-1,706609,978532,-1,-1,520059,463936,363067,533478,357233,-1,-1,456316,-1,901076,737546,275026,522733,528112,905168,742601,-1,-1,-1,-1,-1,308885,708554,-1,-1,-1,778619,244904,83994,-1,-1,-1,-1,-1,677713,246847,-1,-1,-1,588772,326282,891803,108043,54129,-1,-1,-1,474068,-1,969156,575873,730119,-1,-1,-1,-1,-1,871253,308511,425607,-1,-1,187840,-1,-1,919515,66452,-1,172337,-1,-1,-1,-1,-1,-1,986704,-1,-1,-1,52421,-1,-1,520829,-1,-1,932409,-1,-1,-1,291120,-1,950530,689875,-1,97872,458134,-1,-1,-1,29313,-1,-1,232741,890957,768023,-1,-1,309236,434886,818129,-1,673723,-1,-1,-1,791181,-1,-1,-1,843037,77895,-1,390065,-1,-1,644611,-1,939899,827819,-1,937551,202761,223215,-1,821868,-1,848313,-1,-1,-1,-1,-1,400760,945713,917116,-1,-1,-1,237843,198691,-1,739411,-1,-1,764237,902931,-1,755833,-1,37273,519646,-1,-1,-1,284416,373195,-1,625205,-1,902059,874126,-1,-1,-1,-1,496567,933206,341660,-1,835927,774582,388006,-1,-1,739114,-1,-1,927677,868657,-1,834201,-1,866643,-1,-1,721903,144674,-1,-1,-1,-1,-1,-1,-1,860131,-1,-1,-1,-1,-1,29300,888312,102054,195595,509647,229372,-1,519928,-1,795428,-1,-1,185952,634797,-1,-1,458633,-1,-1,473134,-1,996106,-1,-1,197211,214959,397919,625207,592650,-1,415565,-1,397572,188475,-1,-1,123996,-1,465459,67020,-1,558875,444660,-1,244016,-1,48272,810756,-1,871180,-1,346134,266738,-1,836560,35698,148968,-1,465856,151570,-1,379349,164773,404956,-1,932676,485978,249988,-1,-1,121930,-1,-1,951741,-1,-1,-1,-1,436062,611159,-1,-1,-1,-1,233632,-1,-1,-1,-1,34323,512034,-1,647300,675627,-1,-1,523333,234688,-1,42466,446004,494111,-1,-1,-1,173482,934640,-1,807543,-1,-1,-1,-1,117760,-1,-1,-1,392896,-1,-1,-1,-1,204472,-1,154596,-1,-1,587242,8740,-1,-1,-1,13767,96654,981131,-1,-1,66606,-1,-1,768440,-1,605382,410055,344368,-1,-1,-1,522731,735500,58194,521351,-1,-1,908839,405306,-1,-1,257866,-1,168792,616411,513315,959251,346686,896826,705328,-1,991972,120905,366857,768776,-1,320325,860974,-1,740049,-1,327488,517536,-1,-1,429079,-1,604703,-1,-1,-1,163581,795275,529580,995621,837207,-1,-1,-1,-1,742467,375256,-1,-1,-1,741841,132580,-1,-1,145761,730602,-1,-1,63021,947100,494218,394479,491528,589083,813778,-1,371700,-1,383830,616208,431827,-1,864777,-1,-1,-1,-1,170017,478494,-1,-1,233161,-1,656221,533644,-1,675027,-1,943348,429200,468100,-1,131412,209906,-1,788030,205362,140176,-1,-1,-1,920495,303918,-1,-1,-1,-1,-1,-1,274790,-1,881373,-1,162462,326150,-1,972812,735767,-1,-1,821397,-1,72421,-1,91203,-1,665108,985390,228855,170562,682795,-1,-1,-1,804638,816473,-1,635993,998707,653634,-1,710740,-1,870818,885397,380448,639729,343248,-1,-1,-1,-1,631,103704,-1,993706,676884,157570,-1,681258,610688,-1,-1,-1,266418,906227,292897,181559,-1,158340,128235,270251,-1,-1,-1,-1,-1,-1,555107,-1,840276,-1,-1,-1,376798,842780,-1,-1,424241,586185,199198,-1,-1,-1,-1,269754,260426,-1,-1,-1,219466,-1,379764,977015,873618,-1,340433,-1,-1,-1,861350,-1,-1,68338,-1,-1,770510,549993,-1,-1,-1,-1,556143,-1,-1,-1,823411,588942,888208,834139,-1,-1,622517,229785,-1,252827,-1,-1,-1,938396,-1,-1,-1,24046,627579,372596,976317,-1,-1,-1,812595,-1,729146,-1,-1,978153,258424,150440,-1,959151,493483,-1,394729,-1,-1,45114,205343,-1,112893,-1,-1,303670,-1,196227,-1,615097,-1,-1,873120,-1,-1,256915,430584,673768,975761,-1,-1,67091,708251,695887,-1,244913,-1,-1,591270,-1,-1,-1,270283,454474,-1,-1,-1,-1,-1,64103,-1,850933,-1,-1,-1,953577,521122,-1,-1,631898,-1,38267,-1,167922,-1,-1,-1,178309,-1,541307,305653,-1,-1,370341,-1,-1,-1,-1,-1,-1,-1,72595,-1,406201,-1,-1,20134,-1,238145,-1,-1,878992,-1,87412,5269,-1,-1,-1,-1,45152,645897,711351,981666,168399,-1,267674,763731,306515,376563,953167,799901,554781,933728,44591,331319,-1,833133,-1,878379,49077,817859,-1,349766,658893,391569,-1,-1,-1,909752,274234,-1,61399,107094,153171,-1,899723,856294,-1,812787,-1,-1,-1,-1,507414,-1,343242,251186,-1,579279,-1,780259,412692,613583,-1,-1,51698,-1,-1,-1,-1,436959,-1,-1,861674,-1,-1,280398,194604,-1,-1,562439,-1,786773,-1,131489,-1,723757,211953,509198,-1,933821,703603,-1,309780,753403,637934,842928,-1,157410,342328,165198,604631,-1,326376,133370,-1,-1,711996,-1,-1,-1,-1,-1,132129,847240,-1,-1,152126,-1,-1,-1,229028,941958,-1,189441,696299,740239,-1,371103,-1,166928,-1,-1,572802,520325,-1,462427,614456,529107,-1,-1,-1,-1,-1,-1,268705,-1,-1,652885,-1,1337,532807,499918,782035,-1,-1,782985,662909,709739,-1,-1,-1,-1,-1,-1,338604,-1,-1,-1,-1,746315,-1,439047,60768,-1,15513,-1,-1,-1,-1,-1,779525,-1,747031,582182,200186,-1,-1,203783,981832,39017,-1,32391,-1,-1,-1,717822,265413,-1,378902,223035,701635,-1,-1,-1,133946,939643,-1,-1,-1,-1,59953,-1,-1,299672,855350,688836,-1,864168,-1,736977,66567,89388,655103,963477,-1,-1,-1,-1,-1,-1,585209,312750,349319,826286,-1,-1,134154,74055,969119,-1,71365,290054,223118,823400,-1,98561,-1,-1,716404,168488,-1,618321,430070,-1,-1,-1,726064,956177,530042,884455,-1,-1,-1,909674,-1,895873,-1,-1,-1,780665,58108,713228,-1,223636,93747,500609,-1,966271,185841,-1,-1,117067,293118,-1,-1,-1,-1,734537,-1,-1,-1,-1,626496,-1,-1,-1,252899,277028,518208,31825,178242,-1,-1,635324,51740,882585,450752,-1,993090,298325,-1,-1,35424,-1,371365,-1,-1,223031,530091,-1,-1,-1,-1,420361,581599,527865,590725,-1,743937,-1,-1,-1,195510,-1,282774,-1,408475,-1,-1,-1,958349,802978,715345,303904,914939,-1,542271,-1,384854,-1,408419,-1,-1,-1,678757,-1,-1,203156,-1,-1,773630,425608,-1,587783,954806,-1,-1,-1,-1,359403,637405,-1,748307,-1,-1,695977,366478,-1,205746,68792,344367,-1,-1,-1,846563,804369,-1,629422,312542,-1,-1,-1,-1,655530,-1,-1,523233,-1,-1,359591,862721,200516,-1,319421,274960,553410,68476,-1,412370,-1,446648,777280,-1,503868,-1,-1,-1,384226,-1,-1,-1,-1,571106,-1,537773,-1,-1,239761,-1,958255,74464,-1,-1,-1,-1,889279,254374,989434,-1,260961,174524,312057,-1,-1,-1,203301,364719,-1,-1,886956,-1,997446,363838,-1,-1,-1,-1,-1,594164,-1,728502,844945,802764,208973,648044,-1,651995,437523,-1,44632,252051,-1,-1,-1,153922,-1,-1,-1,-1,31091,-1,-1,-1,-1,-1,-1,-1,999744,-1,356993,488899,-1,-1,-1,84317,-1,-1,141238,267792,-1,-1,549570,-1,-1,823301,-1,-1,466606,-1,39115,-1,589846,-1,-1,16518,-1,-1,-1,849775,-1,-1,959345,828741,564123,-1,23540,-1,533938,969928,-1,726494,823235,-1,-1,-1,-1,506434,-1,353262,720905,-1,-1,-1,285657,-1,-1,-1,60845,-1,721841,543797,296327,-1,-1,73409,612945,-1,-1,-1,885229,344309,-1,318401,-1,-1,-1,675005,766381,195482,617963,-1,-1,-1,-1,388651,95720,906361,511962,816191,-1,714016,636855,804896,457934,527092,-1,-1,-1,-1,-1,-1,-1,183359,-1,-1,632505,-1,-1,633828,-1,876799,122378,826907,-1,9224,820786,-1,-1,760619,-1,542309,287285,-1,495139,62482,551338,-1,-1,457767,608439,-1,-1,-1,-1,-1,272207,880095,-1,26443,-1,-1,-1,-1,741813,437192,-1,139381,463924,-1,-1,208079,-1,264831,595735,-1,-1,-1,-1,23524,309708,932571,61804,403843,879652,915601,-1,-1,627993,262379,224081,-1,-1,-1,641303,-1,318246,-1,167277,415592,-1,608868,160377,-1,-1,-1,-1,-1,84380,589117,967769,-1,697379,774372,-1,-1,761081,418646,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,661949,563642,-1,811722,204407,-1,-1,740460,839098,-1,-1,-1,-1,500165,479880,-1,754252,538381,-1,-1,-1,203230,-1,-1,-1,-1,60864,-1,-1,-1,-1,-1,-1,778265,-1,-1,667272,249271,944143,-1,-1,842077,-1,-1,-1,-1,-1,-1,428425,-1,651294,-1,-1,842929,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,626320,265815,-1,-1,-1,-1,-1,41783,601714,405521,158965,-1,643704,577581,-1,-1,392296,966549,-1,-1,-1,659314,445874,-1,168473,-1,-1,629768,992399,995258,-1,418174,-1,395661,-1,757662,309002,387264,-1,-1,-1,-1,231036,356611,418304,-1,308583,-1,-1,398359,525696,945951,-1,-1,-1,127458,-1,928276,-1,364560,451394,474411,-1,885323,-1,-1,338648,-1,-1,-1,157470,-1,686793,320464,-1,-1,-1,-1,-1,-1,33400,-1,-1,861295,-1,216666,-1,207641,730742,-1,-1,-1,456362,794666,3358,-1,270458,362070,903761,15575,902656,-1,397683,-1,-1,-1,559665,538021,154121,-1,899556,992787,718809,410531,-1,-1,242364,211275,-1,-1,689641,-1,122319,962799,640213,-1,225540,-1,-1,-1,121401,823205,310664,599975,-1,-1,-1,-1,630567,320545,-1,220002,115130,-1,160734,781263,797681,733336,-1,216402,-1,-1,-1,-1,-1,342586,316331,-1,901515,421628,993652,195737,348433,-1,-1,-1,-1,59897,-1,691472,-1,157536,130268,-1,-1,-1,-1,-1,-1,198516,653484,695470,396399,152329,-1,-1,-1,-1,-1,795735,733703,-1,-1,-1,927485,-1,-1,-1,-1,-1,-1,-1,565136,-1,-1,-1,606039,-1,-1,836397,138577,-1,561052,-1,545541,782950,-1,-1,-1,-1,585395,-1,-1,-1,636927,845409,133417,344087,168532,-1,3673,959769,362575,-1,-1,454149,-1,454376,-1,901972,-1,-1,-1,-1,626518,-1,-1,586754,961846,-1,-1,-1,459224,294301,-1,502216,438914,114434,-1,843907,525743,-1,-1,-1,-1,-1,-1,818074,-1,221951,-1,-1,912761,-1,-1,-1,-1,826435,237211,-1,-1,-1,26109,-1,4529,257070,-1,117560,374586,609546,711898,-1,929859,-1,100157,466081,-1,-1,-1,241763,692154,-1,-1,-1,770760,-1,-1,977503,74776,326117,-1,-1,-1,-1,-1,-1,-1,387645,940695,-1,-1,353971,-1,-1,-1,604469,-1,281919,-1,161225,-1,-1,921577,887142,-1,457887,-1,-1,541853,942051,-1,-1,-1,60653,973608,-1,754379,-1,-1,-1,124026,-1,-1,429301,-1,70134,505879,-1,-1,-1,-1,-1,776318,-1,990166,462507,-1,-1,66744,258109,-1,227430,-1,-1,132898,122445,-1,975291,20633,-1,672879,295889,778017,-1,421664,939094,-1,-1,-1,624814,-1,926211,370329,276701,-1,-1,158070,124266,82721,-1,-1,677010,-1,-1,413111,292587,-1,-1,70132,-1,699632,-1,-1,-1,-1,-1,-1,-1,675913,789622,863138,858653,473413,-1,-1,-1,334684,285155,432213,859417,-1,15390,-1,-1,741965,762264,-1,-1,-1,-1,371864,678699,-1,205028,377721,-1,-1,-1,-1,-1,-1,-1,554089,-1,-1,86544,-1,150817,-1,394846,246507,-1,-1,-1,-1,27985,-1,-1,-1,-1,-1,24596,-1,705492,427410,-1,-1,54485,-1,-1,-1,-1,972006,804338,-1,-1,758866,-1,-1,266196,412125,359251,-1,-1,-1,93759,-1,291191,595454,284901,-1,772363,-1,-1,961460,-1,312993,758337,344198,416308,190506,-1,364894,713587,646651,-1,-1,-1,-1,129833,506772,683170,965141,231125,39724,-1,365226,144754,-1,-1,346844,126422,-1,571981,903542,-1,-1,-1,730451,952491,925235,-1,601613,25763,-1,-1,-1,170848,-1,-1,-1,108208,-1,996721,348559,-1,-1,601485,446374,-1,-1,827946,115352,-1,466168,-1,167717,-1,769807,-1,-1,32672,-1,12952,865453,72655,-1,-1,396713,328927,-1,332092,-1,-1,-1,-1,-1,-1,937559,856358,-1,562450,358567,-1,486121,-1,-1,157604,540115,-1,84952,-1,222352,136692,954974,649282,-1,313885,-1,998065,658000,389657,-1,-1,-1,486916,-1,-1,787749,-1,477597,-1,735487,540581,-1,63220,326991,-1,1625,414924,-1,-1,-1,745688,306282,302490,494414,865120,-1,-1,-1,-1,-1,769724,294484,537555,439679,-1,-1,-1,523908,-1,-1,69296,-1,621034,-1,-1,-1,547248,-1,174912,938914,159213,979849,820892,-1,-1,106545,-1,-1,-1,-1,-1,428525,-1,-1,-1,5305,430852,-1,-1,-1,628615,448095,536758,-1,760784,296298,225463,707328,-1,-1,121800,986932,277586,-1,-1,426634,767288,414637,-1,131549,579030,222385,-1,-1,533917,853343,-1,-1,-1,-1,931542,633294,-1,-1,-1,-1,844030,-1,74546,378151,-1,454944,-1,-1,810945,-1,119099,8843,75515,-1,846066,878986,-1,81539,-1,574904,-1,62400,-1,941267,124454,607498,-1,-1,-1,680145,-1,793828,57818,-1,324809,362083,746153,-1,-1,375649,-1,-1,350566,443196,140840,-1,-1,162428,-1,-1,-1,-1,-1,-1,613614,738707,-1,-1,-1,985326,536785,-1,-1,-1,145925,-1,501402,20872,130641,-1,-1,392599,-1,261708,-1,-1,-1,-1,357988,768106,5572,-1,-1,204227,-1,-1,-1,-1,450637,-1,-1,-1,-1,956617,839797,-1,213829,-1,-1,-1,-1,23262,-1,499551,-1,-1,-1,899070,-1,483214,-1,401051,241024,-1,-1,-1,228232,9562,-1,-1,200573,-1,-1,-1,856563,-1,965243,317052,952900,-1,35679,419879,-1,905583,513356,830881,962483,548435,899504,-1,942925,-1,-1,232608,784137,868565,860172,-1,918142,-1,768115,-1,996230,-1,-1,-1,-1,-1,-1,-1,690778,710527,-1,-1,-1,66203,72312,-1,-1,-1,-1,192570,-1,196437,368272,220655,-1,462706,632624,253193,-1,629811,-1,806822,-1,947679,-1,872717,-1,914519,-1,140244,826741,-1,-1,972751,229923,632048,854712,-1,-1,-1,16804,65426,308310,-1,838242,-1,-1,311450,-1,643102,-1,-1,-1,-1,-1,930346,-1,50444,288988,-1,-1,-1,-1,343262,615066,647043,-1,26925,-1,-1,415329,241676,139723,534497,201545,819713,999150,993382,-1,-1,50839,941200,513468,532404,905844,96781,-1,-1,567260,-1,974012,-1,-1,865420,547274,-1,959181,669072,-1,595716,450649,25965,464776,729712,274671,-1,-1,272559,715175,-1,528958,87458,652767,776164,492652,-1,7609,-1,578022,26181,691562,-1,-1,246283,761041,709395,161284,145887,-1,-1,562127,938779,698970,787633,360203,602994,847300,-1,994909,-1,-1,182404,-1,502971,-1,7945,-1,321752,-1,476493,-1,-1,-1,115463,79362,-1,168909,-1,-1,-1,751888,519208,-1,668139,383989,-1,-1,-1,287440,563987,-1,-1,-1,-1,611745,198265,813411,490394,-1,850878,-1,-1,-1,719244,-1,-1,227825,-1,-1,-1,-1,-1,641493,512864,923242,883613,275432,-1,-1,190710,-1,-1,-1,15951,-1,-1,-1,43508,774792,-1,316076,615306,409079,-1,-1,474470,-1,420605,-1,-1,781888,998795,-1,-1,-1,-1,-1,-1,936061,836263,715284,-1,720663,-1,-1,-1,322831,910994,530362,-1,489930,-1,-1,834565,-1,980995,354003,-1,-1,416873,-1,-1,178123,-1,-1,-1,390415,49165,39817,104013,423022,-1,-1,-1,341224,-1,402007,-1,208573,-1,-1,-1,202984,-1,698497,-1,541899,-1,-1,-1,186710,951801,-1,727265,209596,-1,-1,-1,-1,280870,-1,69348,-1,-1,-1,-1,399360,506132,884262,99447,382195,-1,647391,-1,90150,-1,11720,828979,218188,390071,517822,-1,-1,-1,-1,665952,-1,-1,183250,-1,-1,223727,328106,383160,-1,161666,729041,964000,-1,-1,390264,878437,890619,-1,693813,293379,-1,730402,-1,290404,-1,474786,-1,-1,-1,770038,243577,-1,434372,-1,-1,-1,104919,-1,-1,639044,923613,-1,-1,-1,265185,905150,164886,-1,897659,-1,288161,589162,-1,-1,439501,-1,-1,687970,-1,-1,-1,-1,477421,-1,-1,-1,279456,-1,-1,-1,-1,570072,730108,472976,679532,170015,-1,-1,124892,131989,292917,-1,313182,427259,797211,814268,-1,-1,795581,201020,-1,-1,280961,360678,-1,886634,-1,-1,-1,648075,-1,-1,586302,-1,-1,-1,501988,579413,393227,-1,5581,-1,995259,34621,983197,-1,333807,-1,634392,-1,-1,290200,-1,28978,585573,583650,936860,-1,607212,346924,-1,-1,337654,16339,-1,586610,642071,788884,-1,219844,-1,965221,427134,29066,-1,933231,632787,-1,106817,161811,-1,868510,41605,-1,962868,618468,-1,303252,-1,-1,-1,-1,-1,807088,114296,-1,599628,-1,-1,361011,-1,147931,-1,511838,-1,254755,-1,640423,-1,615273,110049,917852,-1,-1,629249,-1,626842,875323,933468,190312,781883,38013,60326,908629,-1,-1,902739,-1,-1,-1,357235,767632,-1,-1,-1,91280,-1,-1,360063,161085,-1,-1,-1,-1,641720,-1,309563,234956,-1,699287,-1,-1,483583,-1,-1,-1,-1,30662,-1,-1,-1,-1,-1,374626,-1,326975,-1,-1,22182,-1,-1,-1,-1,-1,-1,891197,-1,479022,-1,-1,521015,-1,-1,-1,843490,-1,243768,-1,127816,304753,877659,784663,-1,-1,-1,-1,-1,306708,295904,-1,-1,-1,309088,-1,460614,179258,55655,314117,-1,-1,316757,-1,306586,-1,-1,71311,-1,345643,32447,715914,871210,-1,-1,810289,466235,8515,-1,20067,582460,-1,998630,-1,-1,648862,962058,-1,-1,192395,510361,-1,544697,-1,-1,982871,-1,-1,211005,477547,916147,-1,-1,-1,-1,-1,-1,391178,480574,-1,-1,-1,-1,129190,-1,686956,900735,765106,-1,390946,-1,-1,-1,534011,811427,590965,-1,-1,-1,-1,997064,697331,-1,740742,387137,-1,-1,528010,-1,-1,-1,-1,-1,14827,-1,889988,-1,173440,-1,81624,-1,-1,442715,-1,-1,-1,-1,-1,-1,340430,949551,510965,8601,-1,-1,-1,546160,211259,817446,-1,632211,855664,720080,200107,-1,-1,-1,-1,-1,-1,-1,886758,516554,414271,-1,388695,-1,-1,613377,-1,923080,864295,-1,-1,-1,-1,286247,818477,-1,-1,-1,762545,101663,-1,522247,727022,-1,-1,-1,-1,-1,-1,-1,-1,588809,256341,102255,939471,-1,-1,-1,-1,673565,117729,687978,654777,-1,-1,-1,-1,118273,607920,-1,-1,747745,40189,-1,-1,248969,270741,911429,174614,-1,63951,-1,-1,6961,-1,-1,252024,830129,689170,-1,525639,922082,-1,910082,233976,-1,911463,-1,36235,-1,-1,-1,-1,855607,525116,218134,92638,-1,-1,701110,-1,-1,286152,-1,328103,836705,-1,-1,558389,283531,731732,829848,206687,307417,808626,516800,305901,805800,46301,276910,422546,668864,-1,-1,-1,-1,194762,20482,-1,-1,160237,-1,-1,-1,642692,-1,331426,849941,50825,618635,-1,-1,58528,-1,-1,436953,-1,-1,116639,567490,186040,233450,-1,-1,569275,-1,850255,506321,525304,-1,339521,-1,-1,401140,23041,-1,-1,115776,-1,559071,-1,405931,-1,267891,932838,-1,-1,142724,-1,497222,151080,913037,-1,999323,-1,926992,-1,974465,930371,-1,86958,-1,-1,418273,-1,-1,894165,-1,-1,362642,-1,-1,-1,135924,-1,821492,-1,-1,-1,-1,238082,-1,889812,708467,846630,466166,-1,-1,523416,-1,-1,-1,-1,591591,-1,-1,-1,960104,-1,-1,704120,859121,-1,-1,894871,-1,823654,-1,399290,663873,-1,-1,465632,-1,400690,432182,907384,-1,-1,-1,713936,-1,-1,-1,877362,440422,50933,-1,-1,254916,710470,-1,-1,-1,181195,586271,588093,83656,672929,991492,-1,-1,-1,688894,-1,720993,-1,-1,360711,-1,-1,-1,-1,-1,933522,825282,622692,352828,94956,-1,-1,-1,-1,800773,-1,569405,943083,-1,424258,669374,461419,-1,480123,227559,782852,376581,344634,-1,525706,382574,-1,-1,939724,794874,-1,-1,-1,-1,-1,-1,904675,990368,-1,-1,208426,425173,-1,810932,681624,861328,287310,811568,-1,-1,313725,-1,-1,343007,-1,423741,650068,-1,405799,202241,-1,-1,-1,253868,895753,-1,892373,844673,342687,-1,656696,632994,585798,-1,618093,194888,723111,-1,-1,694915,445132,-1,249105,541701,-1,634323,-1,277136,129084,-1,-1,-1,498535,338446,995096,-1,-1,262000,-1,-1,-1,418610,-1,-1,91030,41549,-1,14721,254992,578805,70999,974750,-1,-1,446248,-1,399951,-1,728699,913771,-1,725922,-1,869385,-1,-1,19454,-1,963508,336862,565942,137569,166432,-1,347454,213469,-1,-1,-1,833581,580857,-1,370880,-1,287219,-1,377749,-1,657421,-1,722509,694892,244882,954561,-1,164378,224235,-1,354942,-1,985775,534461,893122,759730,-1,-1,-1,-1,431596,-1,222859,354506,-1,66864,612707,-1,187307,163609,-1,131918,993414,722449,232479,-1,-1,186866,-1,618405,503381,-1,-1,-1,563825,-1,-1,781244,-1,-1,192889,299661,-1,-1,-1,826551,386581,-1,313159,523766,205043,231553,-1,-1,-1,-1,-1,110250,-1,751219,568428,-1,349544,-1,49917,-1,-1,586019,85037,-1,-1,428142,516970,81065,833587,-1,-1,950006,301123,-1,-1,262276,-1,-1,-1,-1,559753,-1,325383,-1,-1,573946,-1,251954,-1,531649,-1,-1,-1,931629,-1,-1,767122,-1,-1,-1,926387,-1,-1,428134,-1,-1,-1,-1,-1,-1,-1,433173,-1,210709,-1,310046,402689,-1,-1,212096,-1,-1,-1,-1,378114,-1,302260,-1,-1,-1,-1,398115,-1,900109,226056,-1,474876,-1,943518,-1,-1,-1,673499,-1,37716,886151,481846,-1,-1,-1,793268,748530,-1,-1,841467,173244,729636,129682,-1,-1,-1,-1,925144,307629,-1,-1,-1,164826,-1,743111,-1,90565,84743,-1,-1,-1,506353,-1,-1,173392,-1,453341,352999,-1,295913,-1,525405,-1,907928,51006,-1,995502,-1,-1,226285,234747,-1,-1,-1,610712,866770,-1,547182,460827,-1,-1,-1,488256,-1,-1,5414,-1,967144,-1,-1,512399,469220,441665,-1,172812,-1,-1,60030,-1,-1,92688,624879,-1,843737,959654,-1,324196,439583,-1,58508,-1,241656,-1,-1,-1,-1,-1,447751,192206,366486,-1,-1,100198,349129,-1,-1,513542,-1,953462,-1,533567,582212,-1,-1,-1,-1,-1,-1,134390,274951,205678,-1,794067,925514,-1,903121,-1,461867,-1,-1,-1,138978,466960,301322,-1,699795,350768,-1,-1,786489,815267,-1,717769,243219,871232,-1,-1,837551,-1,290024,418302,222489,-1,387528,50909,107480,247528,865914,981636,-1,381792,709363,-1,-1,856378,113522,-1,510186,473901,869672,-1,693297,803585,833038,-1,75330,-1,-1,-1,107844,979162,901653,-1,156522,67409,-1,-1,-1,-1,881790,-1,-1,-1,-1,-1,-1,948482,33697,160097,661545,-1,-1,-1,-1,-1,-1,816706,-1,-1,-1,-1,-1,241319,104015,30503,513996,443680,965489,492659,275893,-1,236406,-1,595770,-1,-1,67925,-1,-1,-1,269582,-1,711950,18439,121782,329235,-1,-1,-1,-1,-1,53335,64741,-1,413014,615921,-1,-1,-1,819395,-1,-1,172648,-1,-1,659652,-1,759928,391977,84846,297462,743252,-1,-1,-1,-1,794215,-1,378651,-1,-1,957339,898849,877100,3631,-1,588619,854447,-1,-1,658666,929935,-1,933752,-1,314668,-1,-1,705318,410150,-1,-1,207718,-1,598484,-1,214620,95023,87632,-1,-1,910526,492470,-1,836145,-1,-1,-1,-1,-1,-1,413397,720050,-1,989566,-1,-1,-1,-1,-1,-1,941998,464768,-1,-1,177309,107101,-1,615460,994850,-1,361242,-1,801065,99483,503734,387697,-1,-1,265855,-1,-1,880217,54895,-1,84236,-1,512775,-1,856758,-1,-1,-1,730497,141301,196914,-1,-1,-1,-1,-1,599489,-1,870547,-1,-1,-1,510790,294896,-1,200599,-1,119903,-1,746250,-1,366379,-1,-1,157195,-1,41560,929895,-1,132073,343089,975799,764580,153895,-1,637482,483048,-1,616448,491388,367097,-1,-1,664812,883110,-1,-1,-1,-1,-1,18321,10369,-1,103466,663084,-1,-1,-1,-1,80347,638917,-1,56288,134571,-1,-1,-1,-1,905367,116248,-1,597138,-1,-1,-1,693812,486743,-1,799606,-1,792388,248962,679060,-1,669922,227704,-1,-1,-1,384332,232493,979853,938607,-1,-1,752815,-1,86937,6278,-1,160657,-1,66035,590356,-1,820939,357451,293147,368889,-1,918446,820841,-1,554984,117310,-1,-1,550464,-1,215556,368263,122905,818400,-1,290822,-1,367867,960667,834686,80650,-1,-1,644069,-1,-1,432366,598438,-1,-1,952740,-1,321062,348474,-1,-1,277816,-1,946090,290654,777474,855379,-1,46632,113371,444841,-1,-1,832771,-1,-1,-1,-1,368637,-1,754080,-1,382770,-1,190162,467435,753708,231294,151874,-1,-1,-1,-1,-1,-1,-1,-1,148848,336502,-1,299819,-1,-1,957497,-1,704127,-1,-1,594035,-1,-1,-1,-1,386818,995854,555534,94972,-1,-1,192396,-1,-1,868641,-1,-1,-1,821959,79755,-1,814232,936180,-1,318705,-1,-1,-1,488436,278388,635988,-1,-1,450241,250289,-1,-1,777023,-1,456083,155450,722666,491383,380390,534032,-1,57700,859160,256214,56334,-1,-1,-1,-1,-1,662476,-1,-1,302201,923244,-1,573970,188041,-1,40762,250786,-1,642618,-1,-1,609884,705934,548716,529084,912557,-1,-1,-1,-1,444117,-1,672620,-1,324882,-1,-1,-1,629517,-1,-1,474515,-1,-1,-1,171171,629838,605568,27584,613352,-1,-1,32144,-1,303351,-1,147030,301,609016,-1,-1,-1,-1,725237,-1,-1,-1,761508,-1,-1,-1,400938,-1,-1,935790,527223,-1,924035,818700,965265,253993,-1,689731,-1,442078,879075,744474,95200,362620,691721,-1,298965,-1,-1,-1,956494,13097,-1,397191,-1,566565,758715,-1,-1,-1,-1,383161,-1,-1,644741,12430,-1,100151,626920,-1,151299,-1,944970,990445,-1,-1,826123,-1,-1,-1,971624,-1,524428,579445,355982,-1,80855,-1,336277,-1,-1,277837,699612,-1,969787,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,472975,771019,-1,-1,799658,283548,379266,-1,407040,-1,212869,-1,701792,-1,116490,-1,244163,754298,618198,737297,-1,-1,70791,696019,-1,-1,-1,849623,124691,-1,544144,-1,-1,-1,167488,-1,568110,854987,-1,738710,-1,-1,219995,993901,-1,602922,269168,-1,-1,-1,556548,-1,827542,-1,-1,789100,784254,-1,821227,534045,679133,-1,-1,240199,877457,-1,-1,771703,911826,-1,635140,-1,-1,-1,653058,-1,-1,100556,88082,-1,-1,-1,-1,-1,227830,-1,-1,282407,82863,-1,668220,797844,-1,-1,554617,383004,-1,404982,59824,996086,-1,873390,-1,-1,-1,54887,-1,-1,772199,-1,856050,-1,644796,959761,-1,-1,-1,-1,891229,-1,-1,715028,-1,-1,234284,-1,465147,-1,116795,490323,67325,462518,645842,-1,-1,700709,548045,633949,-1,-1,-1,284118,772008,-1,525865,-1,-1,867543,562206,-1,253614,76546,-1,-1,-1,773607,-1,531930,388780,118769,844765,-1,784897,-1,-1,819628,-1,622151,791681,-1,981805,-1,-1,883956,395306,-1,-1,-1,292281,974701,828750,-1,-1,348332,-1,838099,975529,675221,-1,-1,-1,-1,561372,-1,449597,-1,-1,791307,186059,-1,-1,-1,-1,-1,-1,419085,909171,929621,-1,763880,-1,-1,-1,457543,-1,-1,-1,748237,104959,617614,643362,-1,388685,583471,247503,-1,223760,184835,-1,655974,193103,947169,579766,-1,327189,292773,-1,6960,-1,617064,-1,-1,-1,-1,-1,59713,192039,-1,-1,-1,-1,122211,-1,-1,466965,123463,562235,716556,482950,359276,-1,952524,231911,-1,-1,-1,626618,-1,-1,-1,-1,-1,259069,-1,50327,601684,-1,-1,-1,-1,-1,-1,363496,-1,384934,927411,-1,924180,36919,-1,487998,-1,-1,-1,-1,-1,963754,-1,-1,64269,-1,-1,-1,-1,-1,-1,102637,-1,-1,-1,-1,760278,875779,-1,524774,485281,350142,-1,784127,665919,-1,-1,-1,560178,459949,922299,-1,182270,-1,-1,203491,869300,-1,603525,-1,913135,-1,883041,-1,334705,431137,-1,-1,-1,799351,218481,885596,191428,-1,406574,25829,-1,-1,710289,592078,-1,805913,-1,-1,-1,-1,-1,848407,-1,711504,137201,744068,975712,-1,715078,-1,827422,-1,-1,923523,-1,115938,-1,-1,-1,-1,960503,828278,-1,136983,-1,279678,-1,110900,955813,368692,-1,448233,143061,446367,40011,23505,515050,-1,279129,-1,-1,360927,94014,395814,625292,903569,-1,-1,365654,364084,-1,813167,-1,352660,-1,886501,228207,929198,-1,-1,-1,-1,813049,630511,-1,-1,-1,-1,347101,779120,-1,954835,-1,443453,174137,-1,272838,-1,-1,-1,875456,-1,-1,-1,185677,792527,-1,881075,396098,-1,-1,-1,47504,997788,-1,-1,-1,-1,616252,-1,-1,859298,-1,-1,692970,-1,-1,-1,723410,412693,-1,650504,-1,-1,-1,-1,635524,852145,-1,402964,425050,-1,-1,-1,296997,-1,371445,680618,-1,874538,162382,872723,-1,410119,252764,-1,-1,-1,809619,515646,-1,537385,-1,-1,833829,328069,-1,486494,-1,-1,110624,909143,940002,19518,-1,58816,-1,-1,256525,-1,-1,-1,-1,-1,808162,965205,297294,-1,-1,228959,917993,-1,998186,408987,-1,878304,-1,-1,868290,-1,-1,-1,-1,-1,789158,472798,-1,-1,-1,-1,551809,-1,585833,-1,77778,-1,-1,-1,450792,-1,700727,-1,309031,445284,803955,-1,-1,70576,469821,-1,560400,-1,-1,451127,380713,925645,-1,-1,435671,392790,-1,-1,133230,-1,-1,-1,-1,-1,-1,942836,-1,-1,482593,-1,-1,-1,380365,-1,-1,281756,-1,-1,430853,130437,914321,-1,119849,-1,-1,888642,985213,-1,-1,-1,-1,-1,-1,89658,738170,-1,-1,747026,489855,-1,551330,-1,-1,-1,-1,567763,-1,-1,979059,101328,668516,-1,733764,-1,305716,-1,748765,-1,-1,385796,-1,-1,602705,329165,959699,423386,-1,369681,168784,-1,846302,489654,-1,889148,789957,-1,-1,-1,325069,756859,149074,842120,280844,-1,89511,854398,276984,-1,-1,-1,-1,506354,-1,942936,-1,861282,30620,661806,828883,974852,811993,987837,-1,-1,394194,-1,-1,-1,785604,-1,-1,847416,-1,342882,304060,-1,-1,-1,951627,713873,-1,-1,-1,-1,-1,236040,805811,261874,270686,-1,353838,-1,-1,-1,634337,505831,347383,-1,587122,444643,-1,93268,116790,209593,27307,-1,-1,-1,-1,-1,-1,256042,-1,478710,-1,787238,-1,426064,144773,-1,245362,753242,-1,80290,-1,-1,251737,736963,423275,-1,-1,-1,-1,330334,607308,229720,-1,-1,794439,539695,207382,107775,-1,356080,341108,136644,130375,555209,-1,71044,83800,-1,-1,644883,-1,-1,-1,586843,-1,46289,-1,-1,-1,-1,-1,-1,-1,-1,406549,116326,-1,107370,304149,782989,-1,-1,550759,-1,-1,-1,160697,-1,-1,17427,-1,-1,-1,-1,165698,-1,612159,-1,6368,-1,704403,-1,501845,626828,-1,-1,-1,-1,-1,897865,-1,862117,498059,-1,991879,580433,-1,-1,-1,-1,-1,68948,79022,-1,575263,-1,-1,371357,-1,-1,-1,191890,-1,613529,-1,-1,-1,-1,-1,673753,-1,-1,829670,854699,340593,976348,-1,-1,835672,-1,294571,-1,-1,-1,-1,361811,-1,609046,-1,-1,968986,684054,629798,871951,-1,-1,-1,772145,687868,-1,400349,678204,134236,916029,-1,923886,67732,100018,875985,-1,-1,-1,-1,-1,321032,-1,214530,983553,713912,998469,-1,-1,-1,283802,-1,-1,-1,693644,-1,523967,341615,17260,956786,172883,-1,443835,556870,-1,898421,916109,388722,-1,-1,-1,-1,536997,57102,-1,994737,565468,-1,-1,-1,-1,401159,-1,-1,728213,600657,751238,983535,-1,-1,-1,-1,513976,718344,761206,963513,-1,862900,-1,-1,-1,681994,64728,247711,-1,-1,-1,15731,-1,959472,458892,-1,730509,893939,-1,779869,697693,472714,985310,930462,166198,912260,524754,-1,-1,144711,187808,-1,-1,-1,-1,756462,444601,-1,-1,701199,-1,-1,-1,443134,-1,357747,-1,-1,809827,-1,-1,-1,-1,557362,-1,845440,921831,-1,-1,-1,609714,383076,168805,-1,-1,-1,936669,-1,-1,547196,-1,-1,-1,470297,-1,894418,-1,-1,-1,855724,303268,-1,668243,-1,230046,281397,78769,188266,-1,-1,272328,424644,-1,-1,149418,450272,-1,-1,-1,-1,-1,-1,228655,126214,539988,-1,-1,313654,-1,864666,-1,-1,-1,-1,-1,302543,576641,-1,-1,499831,-1,315854,680620,23324,-1,-1,897737,-1,-1,667197,403073,-1,-1,654215,57194,-1,-1,-1,676843,-1,-1,-1,-1,989926,-1,498582,316393,507940,-1,-1,716151,-1,939217,-1,935977,-1,282557,916839,165221,-1,616943,-1,157634,512940,481000,893553,87696,-1,621908,-1,189279,414715,828467,785208,725579,857129,-1,-1,994527,-1,986355,181493,191773,786742,218824,-1,501068,-1,-1,838705,941093,-1,380886,195914,-1,770110,-1,-1,51869,-1,747776,333139,364949,-1,715388,-1,-1,54841,528703,-1,-1,18359,-1,-1,-1,-1,-1,100937,955476,579748,-1,911620,927548,-1,219898,-1,78752,-1,-1,-1,614102,772144,-1,-1,-1,-1,965517,660607,494119,-1,687224,329408,-1,108663,-1,-1,497820,648665,-1,-1,227674,273194,-1,516446,-1,-1,743164,-1,-1,-1,-1,-1,-1,-1,119888,-1,-1,-1,783507,983677,993923,-1,-1,-1,-1,272761,535096,-1,993545,520208,-1,671354,-1,-1,607733,-1,-1,-1,-1,710405,971441,-1,-1,-1,-1,123742,214231,-1,179017,-1,-1,910009,-1,967006,-1,-1,737003,-1,343368,-1,-1,813608,-1,425718,321814,-1,716185,506261,289212,-1,167125,-1,472635,-1,246729,136114,164468,-1,970541,920357,693505,134552,-1,437993,661375,655986,-1,-1,-1,-1,164389,-1,58397,337112,-1,-1,-1,289721,-1,49737,-1,-1,829729,791603,966319,-1,936313,427168,-1,-1,386293,-1,186557,340543,-1,702687,778646,-1,-1,-1,-1,-1,959649,-1,-1,624123,12381,-1,-1,-1,-1,-1,-1,-1,-1,490190,565808,177186,612743,157495,-1,-1,-1,724352,-1,-1,873058,755354,257652,184874,-1,460363,578491,603411,-1,-1,566167,-1,-1,-1,-1,-1,-1,569637,654317,-1,730988,735328,-1,-1,881947,-1,-1,-1,133379,885139,534242,886146,-1,850865,345699,80955,579215,-1,712245,-1,-1,-1,489390,173455,-1,581086,33122,790140,297956,249403,-1,548827,-1,994010,-1,810566,-1,812982,-1,54174,890770,87691,-1,-1,916138,-1,-1,-1,-1,687456,614287,-1,753990,-1,179646,-1,811253,797031,-1,736306,262356,-1,-1,-1,344182,982332,-1,-1,-1,871618,-1,-1,-1,948492,589041,537641,454417,846684,446280,-1,645651,932780,-1,-1,-1,-1,509595,90524,442287,464878,385190,265757,477821,417037,969429,817689,-1,-1,-1,548714,-1,502241,-1,-1,253236,982580,-1,647784,-1,-1,349560,-1,657700,-1,-1,104213,870419,-1,584689,443276,-1,83025,405230,-1,874635,-1,-1,-1,329505,981355,174062,-1,-1,194565,-1,-1,-1,80966,-1,-1,-1,-1,-1,-1,-1,-1,-1,294169,-1,221884,-1,388934,235979,118155,-1,-1,-1,429014,70854,312174,761579,-1,440001,676896,-1,-1,-1,-1,-1,459182,268792,292717,-1,875327,639976,741852,942629,547467,-1,21233,-1,663819,279631,-1,-1,-1,917893,-1,-1,-1,-1,802446,882024,-1,-1,107407,-1,130151,8353,785166,289886,412298,937958,627849,12268,416597,655628,12949,956988,-1,809300,843004,-1,-1,-1,652084,908319,-1,496390,-1,685231,903755,-1,-1,-1,677916,147342,368587,893679,916051,27529,-1,-1,696870,-1,-1,-1,-1,341580,119086,-1,-1,-1,739268,-1,353417,-1,-1,416910,-1,661460,-1,968284,44370,934615,-1,738636,-1,208279,244722,376378,-1,-1,-1,-1,-1,379514,-1,5548,964389,357165,358061,940672,445152,-1,-1,496383,-1,506973,-1,212962,678685,-1,821810,-1,-1,199966,771862,709980,134767,131258,-1,-1,-1,-1,484076,-1,-1,-1,862025,-1,593045,-1,744574,507552,-1,391320,224174,397243,-1,-1,-1,561237,-1,-1,-1,947659,-1,797345,-1,-1,-1,600567,-1,227897,-1,-1,-1,-1,-1,34286,-1,-1,206085,954176,141917,-1,471785,362032,-1,911232,-1,-1,379101,102025,-1,356483,288130,-1,206754,771401,-1,-1,-1,-1,239858,-1,562635,114774,-1,918709,332826,884391,251660,947714,-1,-1,-1,665854,-1,570310,-1,-1,631310,-1,113631,-1,673012,705910,-1,107602,485914,-1,-1,-1,881789,-1,-1,-1,-1,553807,-1,-1,18724,-1,982048,-1,-1,-1,854299,501885,815075,-1,-1,525264,-1,-1,885746,764032,82485,187493,288232,853575,-1,499702,320152,-1,650910,-1,-1,-1,861392,-1,-1,-1,-1,701503,189948,84207,-1,143803,-1,-1,-1,-1,635142,757381,421338,-1,-1,-1,273273,-1,74160,325826,-1,-1,-1,-1,-1,-1,679710,745209,-1,245839,-1,-1,-1,341491,892682,-1,80619,-1,-1,-1,-1,420591,-1,-1,242085,-1,-1,-1,-1,607692,711683,504898,-1,928926,-1,162181,948530,140473,623414,-1,333498,-1,158908,626184,-1,-1,-1,895258,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,754372,-1,805285,-1,437099,-1,462057,332941,-1,-1,-1,436178,-1,164053,-1,287913,-1,55744,609303,-1,-1,132162,471000,-1,-1,150932,515800,-1,-1,821129,761176,-1,433147,-1,412582,565277,20323,-1,-1,-1,-1,-1,-1,-1,-1,153425,740492,-1,284619,128762,110852,845826,-1,997750,200343,-1,-1,909751,-1,376164,263019,984406,-1,-1,21764,366654,-1,851814,-1,-1,210645,293156,-1,803943,739035,446672,823697,-1,361092,-1,148271,906405,-1,-1,-1,-1,463712,-1,-1,-1,-1,-1,494861,271319,-1,548281,-1,654155,-1,454962,-1,856012,662915,52149,539462,-1,203631,-1,569832,16047,500745,-1,-1,791564,-1,365335,794061,503742,518397,-1,490501,892363,887262,-1,129101,-1,-1,-1,-1,437612,-1,195516,932162,-1,784142,-1,-1,886168,381397,-1,-1,723242,148275,123836,19251,-1,109723,-1,-1,-1,104320,-1,-1,-1,752971,-1,-1,975089,-1,-1,241265,-1,-1,-1,-1,149174,-1,-1,-1,377694,954111,874280,334061,-1,-1,-1,-1,-1,-1,-1,725594,-1,848322,910371,436890,355487,880239,-1,488420,816494,-1,-1,-1,111063,255042,-1,214807,-1,-1,-1,-1,-1,710669,-1,829815,32057,205539,-1,-1,6737,388279,-1,-1,-1,-1,-1,-1,-1,-1,972565,-1,424444,-1,903338,-1,525394,45095,393787,304263,476836,335609,-1,197202,422447,-1,-1,-1,496658,413583,914178,597589,-1,-1,-1,-1,-1,839999,945487,-1,-1,-1,968861,-1,553638,-1,-1,-1,-1,-1,819378,658355,756705,-1,-1,971834,731210,-1,-1,-1,-1,-1,329119,-1,-1,746777,-1,136998,517230,-1,-1,-1,108809,980242,592034,-1,-1,286224,306573,-1,-1,-1,-1,-1,912146,788090,-1,784247,-1,-1,362556,-1,251665,33961,-1,678324,-1,-1,242227,995926,-1,480291,-1,-1,572949,-1,167461,168933,-1,123795,729925,859888,516761,-1,706149,-1,167534,322445,654027,189202,658274,368523,339162,969048,-1,-1,-1,291911,15413,996122,-1,544526,582441,-1,354427,-1,-1,94116,-1,-1,-1,589740,-1,355883,446638,510885,-1,-1,645612,816547,-1,-1,-1,506800,364588,-1,575735,570936,-1,22005,-1,312785,59802,123605,190259,518840,-1,973068,-1,-1,265099,428668,-1,731678,-1,-1,383876,682418,332838,904156,190773,-1,-1,-1,-1,326503,-1,-1,-1,533437,459496,757682,588206,-1,443161,-1,-1,-1,424135,-1,909161,-1,-1,59088,-1,295944,807136,-1,-1,-1,204075,168923,-1,-1,241999,-1,-1,-1,-1,-1,753370,-1,-1,107073,-1,-1,129042,661940,337941,547916,405592,-1,-1,-1,-1,834767,-1,590621,-1,458789,-1,959531,-1,164701,892540,141660,-1,398077,-1,-1,705483,-1,830616,961702,-1,-1,-1,-1,-1,805128,816514,907228,-1,-1,649453,447719,909120,571447,250077,-1,-1,816731,83135,349804,-1,794850,-1,-1,-1,422973,612705,-1,-1,-1,690943,162740,980980,619312,-1,-1,617088,-1,-1,726891,598398,-1,-1,-1,770455,986114,-1,152345,760509,-1,643822,211822,19077,701647,879235,-1,412209,308428,-1,-1,-1,-1,746987,-1,973276,456726,-1,608511,-1,50426,52110,-1,-1,387805,651225,856119,555101,776369,997444,499037,-1,414144,929038,-1,861708,-1,943754,-1,-1,150113,655368,311297,-1,94313,963652,-1,-1,994200,92700,-1,-1,115150,-1,237198,-1,36530,-1,301291,745849,725244,-1,508454,636623,-1,272289,964456,219605,284880,641359,600843,659824,-1,-1,-1,773792,409750,-1,-1,-1,121574,656106,928289,-1,-1,143520,517450,-1,-1,188674,-1,-1,865826,-1,225816,-1,136784,-1,34321,-1,-1,236531,890119,22438,397582,315798,-1,-1,-1,-1,946487,157347,-1,-1,874332,-1,-1,351986,975038,-1,-1,9559,487197,459253,-1,45088,-1,-1,-1,-1,225036,695996,244469,-1,313842,446986,941183,111810,-1,687676,-1,844578,-1,-1,387752,440821,-1,366474,-1,831383,-1,968161,-1,682705,713335,-1,210540,-1,224551,253158,-1,-1,37674,-1,755046,-1,-1,-1,-1,262481,-1,728948,-1,124916,-1,-1,599285,457145,949729,-1,137114,-1,-1,459483,545476,672915,-1,832018,352568,-1,-1,-1,-1,338573,-1,975394,-1,778293,-1,-1,-1,260031,895208,737931,-1,-1,-1,-1,-1,-1,-1,362076,-1,170507,-1,305296,605306,-1,46133,-1,25537,121931,680266,805439,761060,571287,650306,211947,-1,-1,708868,527689,-1,569836,-1,287533,711293,-1,979979,870613,-1,-1,-1,259716,-1,302863,737089,621819,999955,975154,614720,246591,657847,131236,703422,43621,-1,-1,-1,55390,319745,924037,-1,96822,-1,-1,433596,-1,-1,-1,913396,102967,679430,-1,-1,-1,218368,879574,699059,720823,-1,479466,-1,986103,68944,-1,-1,-1,3049,-1,-1,-1,535987,579820,-1,-1,-1,-1,361435,-1,-1,722082,776900,188750,-1,191124,494030,426717,-1,714925,63544,-1,847854,-1,-1,775720,-1,497371,-1,278075,-1,951782,741186,-1,-1,872390,-1,446443,219512,892731,565458,-1,449540,380357,704698,-1,-1,376346,-1,976947,557948,239352,-1,276265,-1,563826,855372,282480,497585,691754,863238,-1,272727,838940,-1,196107,-1,-1,-1,-1,74585,-1,448753,-1,-1,155370,774201,-1,-1,517696,221217,542748,441273,509570,307585,-1,492267,-1,-1,765163,-1,-1,339046,361940,758433,-1,-1,-1,38861,-1,-1,741154,642792,625650,-1,151772,-1,-1,-1,742361,267093,-1,693300,-1,-1,-1,-1,762969,527299,-1,-1,717254,-1,650546,-1,-1,897209,729064,437640,-1,642456,151345,55214,-1,420978,-1,-1,-1,934732,798137,725231,893068,522705,107994,-1,-1,-1,265421,-1,-1,684601,-1,618013,-1,-1,-1,-1,52159,-1,922667,389371,-1,-1,-1,762035,-1,94107,813210,55411,-1,250322,679205,232724,260138,-1,-1,-1,-1,283568,821941,-1,585510,119388,184990,633271,42623,-1,747079,702281,529126,-1,444397,685408,-1,485091,-1,-1,611245,-1,953254,-1,-1,479042,143861,-1,-1,-1,839878,-1,874260,634738,-1,-1,644698,-1,-1,357186,-1,-1,-1,793186,-1,-1,459512,360306,-1,-1,-1,-1,848514,620223,-1,731518,-1,150093,-1,-1,266508,526313,-1,12540,936799,805468,88243,-1,480167,-1,301378,-1,917882,308612,-1,357425,-1,943554,-1,643125,-1,745866,-1,-1,-1,-1,-1,-1,902321,-1,-1,627346,114722,-1,892817,760620,418516,-1,172276,-1,-1,864220,-1,1626,-1,-1,-1,42696,-1,913605,-1,34585,658508,-1,-1,5086,489348,-1,819554,-1,-1,803599,-1,889558,999899,857483,-1,910638,-1,-1,-1,-1,24570,-1,675697,424510,285381,-1,-1,-1,360899,-1,-1,635179,-1,-1,-1,-1,509568,589521,-1,493747,592521,696522,-1,-1,-1,-1,97903,-1,872518,471855,468940,833068,886419,-1,-1,952750,-1,989629,868726,134103,131341,133211,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,198671,331482,-1,-1,-1,178565,-1,498422,864399,275575,947686,339139,-1,-1,-1,-1,6829,370655,797935,183422,397010,-1,840162,705654,533366,-1,-1,14824,929433,-1,713557,984445,-1,722491,-1,253387,-1,-1,-1,666048,-1,692565,370360,913471,209702,703442,-1,520254,172611,158494,-1,497507,-1,997514,796182,-1,142531,249413,-1,127209,-1,894569,-1,-1,14712,-1,708169,-1,-1,-1,-1,-1,64358,940746,-1,549538,843537,-1,-1,-1,960191,-1,98626,389109,853022,-1,934545,-1,143971,2481,-1,-1,-1,177453,148412,967234,892892,694316,-1,-1,-1,299697,-1,733008,829801,-1,-1,971006,-1,-1,-1,-1,597714,102916,900161,533485,-1,-1,-1,-1,674169,-1,-1,853329,787337,-1,-1,-1,147795,864860,-1,56724,-1,-1,-1,-1,-1,473564,241113,276171,-1,709852,-1,908974,814329,188454,229493,-1,915687,839972,424561,806870,662477,-1,599813,199502,-1,-1,-1,41268,861934,-1,848386,-1,-1,792152,-1,-1,-1,-1,162063,-1,-1,-1,-1,-1,-1,-1,-1,193927,-1,620793,820327,203243,480079,151581,-1,623251,-1,-1,926934,400902,647117,353325,-1,408196,-1,-1,667637,-1,643138,152648,904517,850260,875098,-1,984881,-1,-1,278373,125641,-1,-1,-1,715555,596966,320283,532119,-1,-1,-1,354507,-1,-1,-1,-1,535583,333594,-1,108512,-1,-1,292308,-1,816913,-1,220013,-1,543276,962042,721001,-1,-1,-1,223684,-1,-1,-1,-1,229465,-1,-1,960704,-1,491917,934730,-1,-1,152702,392347,520896,237905,731757,-1,-1,-1,105136,-1,-1,-1,968548,-1,695331,412730,846957,45,77541,-1,-1,-1,945076,19277,-1,134194,438833,-1,657258,-1,-1,-1,207181,603225,-1,198414,-1,-1,288423,-1,-1,-1,457471,-1,182422,823120,-1,-1,998643,392773,-1,851918,287923,-1,396483,645633,718226,186790,-1,-1,958224,-1,-1,640485,-1,-1,-1,-1,-1,-1,62252,811600,-1,-1,579972,-1,228240,-1,23325,865802,-1,-1,-1,-1,910447,-1,-1,-1,762908,-1,-1,202161,-1,618356,-1,-1,-1,-1,-1,-1,-1,906505,303090,-1,-1,568988,502159,51840,196163,684411,206216,247212,320180,-1,174921,77323,-1,465721,-1,-1,-1,369898,-1,-1,-1,-1,628167,298058,103137,-1,-1,285842,833998,653739,194681,488646,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,245848,-1,125038,-1,468127,970456,-1,889030,-1,-1,740306,609087,-1,-1,956481,36804,579379,-1,-1,-1,-1,650265,970474,-1,-1,135657,-1,-1,-1,772345,-1,-1,-1,-1,-1,-1,855691,-1,-1,370540,-1,500682,10663,66388,-1,833938,105916,-1,-1,433706,485550,-1,-1,309866,-1,455789,11156,167430,130340,881652,-1,332,-1,205464,224608,-1,-1,419400,293126,-1,-1,-1,970,335785,-1,-1,-1,-1,-1,308875,-1,-1,-1,-1,395374,-1,114493,-1,-1,368549,-1,691094,803030,297374,-1,167941,475320,115594,-1,669857,314047,-1,-1,-1,416262,-1,47054,-1,158430,16872,376203,-1,-1,726957,342089,-1,498783,318188,-1,711782,-1,121128,-1,827350,-1,-1,528757,79936,206916,812774,-1,-1,-1,132260,919580,562534,57208,-1,247299,465859,-1,-1,-1,-1,-1,515658,257748,-1,412442,-1,541607,-1,-1,-1,-1,989762,108493,-1,-1,190554,514222,-1,327617,301932,-1,513668,-1,333121,-1,-1,-1,252230,-1,769304,408980,465681,-1,-1,127269,204777,-1,394832,-1,222591,392916,593182,-1,-1,488053,-1,445341,-1,-1,439612,113589,-1,707724,-1,-1,794728,671020,147788,-1,361642,835409,159952,-1,769782,-1,637773,73658,625702,423261,317617,-1,256189,-1,-1,-1,-1,904538,-1,985880,-1,177323,236460,-1,-1,93806,-1,27508,-1,926926,-1,925977,946320,-1,-1,-1,731050,854621,749281,739970,551652,-1,498971,-1,948164,743804,-1,70602,399753,-1,949208,719771,732274,460469,628183,-1,653748,-1,462614,884976,-1,215121,-1,-1,-1,-1,326919,-1,-1,769076,344677,466424,293320,-1,804350,909671,-1,-1,-1,-1,-1,-1,-1,42369,-1,-1,-1,737806,-1,763694,-1,70904,499663,-1,-1,722924,-1,-1,667427,-1,82109,-1,480584,398852,797619,-1,930080,-1,136075,930440,651895,-1,-1,227129,954797,730692,625630,-1,911420,230226,3212,-1,213910,494599,-1,-1,161861,-1,300201,-1,973062,890463,-1,-1,-1,234460,-1,-1,7911,-1,399130,-1,986020,983994,-1,501815,-1,-1,562671,-1,525240,-1,-1,737575,-1,424038,-1,-1,563686,-1,123911,-1,-1,391418,535946,-1,-1,293227,355279,805836,-1,871417,342280,106548,-1,-1,-1,-1,-1,-1,-1,822508,-1,679292,197439,-1,-1,413829,-1,-1,503933,103639,-1,-1,98823,312877,-1,832313,977323,-1,-1,234964,994479,-1,12077,630771,795766,-1,-1,-1,261659,-1,844467,293595,319899,-1,926274,-1,-1,-1,659297,957924,516693,79679,567733,-1,-1,496331,356077,-1,-1,453189,-1,-1,558357,882831,746278,-1,933210,-1,-1,-1,-1,-1,187809,-1,-1,-1,297799,-1,-1,-1,-1,888029,-1,-1,104787,153420,-1,-1,-1,997826,-1,-1,982790,-1,266277,-1,-1,580375,736296,785708,280369,-1,-1,408548,-1,123550,260709,751174,898422,82554,-1,267424,940402,-1,782738,-1,197706,-1,568300,-1,920804,-1,36735,-1,89080,921711,58708,722864,-1,398592,-1,989446,648541,-1,-1,-1,-1,541808,-1,-1,965799,-1,-1,651510,175430,953084,-1,554183,106229,-1,-1,-1,-1,203681,689722,-1,-1,663383,245668,-1,-1,628107,-1,-1,-1,-1,735092,-1,-1,965914,-1,-1,-1,98686,478911,-1,403549,835414,826264,456834,-1,354324,641821,-1,965428,-1,-1,-1,-1,-1,449262,-1,-1,-1,941907,-1,840179,600129,-1,-1,370124,877463,-1,585347,-1,-1,-1,-1,687790,740700,878415,599272,-1,7844,249760,937695,-1,758182,691599,746138,-1,-1,850151,-1,202311,690404,-1,875571,14458,359547,-1,630752,297998,-1,-1,-1,434907,12169,489889,-1,-1,-1,-1,64475,830676,-1,-1,-1,-1,233162,-1,-1,382456,-1,-1,-1,784231,-1,82847,-1,264703,629572,529191,407621,858796,379829,-1,-1,-1,448019,-1,642289,237598,-1,260144,-1,487372,292679,184332,23573,-1,417026,348450,667625,-1,401590,74117,-1,-1,-1,-1,-1,-1,319262,-1,-1,477415,192216,368076,-1,-1,143524,62259,658966,-1,-1,984504,221243,333538,-1,375035,611293,997988,-1,-1,-1,556771,412280,-1,-1,-1,415332,226920,332018,28715,376439,-1,291222,-1,-1,770409,303368,-1,413524,345506,-1,835899,957455,-1,529345,-1,365956,-1,-1,234047,-1,880004,-1,538002,-1,79897,-1,46660,528159,814409,595843,-1,864188,838869,871288,-1,383858,113018,751073,-1,-1,351695,-1,222322,649779,391256,-1,529745,-1,-1,886841,-1,716544,-1,177277,-1,-1,-1,-1,168131,-1,-1,599844,494532,-1,220349,-1,87207,10420,562893,-1,322948,462300,726329,837487,-1,394050,806060,496044,-1,832212,334348,-1,-1,-1,-1,-1,437219,916075,315293,-1,-1,-1,2376,-1,148333,100925,-1,-1,615848,23395,-1,200134,516847,269555,-1,-1,-1,558475,29583,801982,-1,144697,-1,952591,186378,-1,833734,-1,-1,-1,-1,246183,-1,818587,94285,-1,-1,-1,513950,-1,268836,-1,-1,-1,12541,-1,-1,-1,-1,-1,394489,-1,-1,-1,332268,-1,-1,769421,-1,-1,607934,-1,136669,380465,622585,938188,32804,796023,-1,86316,651117,-1,881072,-1,-1,495058,-1,-1,398428,-1,217027,850789,-1,444475,466593,556937,758002,406022,-1,15828,844806,569256,631405,-1,427672,-1,168166,-1,904071,-1,115606,974412,79066,-1,-1,258328,628299,170830,163665,-1,-1,-1,-1,62804,503525,-1,-1,109975,-1,-1,-1,888318,904399,151941,995499,392247,522180,-1,115730,-1,525880,723907,-1,137197,618909,117550,540579,-1,-1,-1,-1,96556,-1,726985,-1,-1,-1,-1,217270,-1,94164,272932,-1,-1,-1,545750,-1,-1,48781,809344,86701,315101,-1,-1,718965,-1,575113,-1,-1,160906,639529,993250,53276,550993,-1,428946,-1,-1,-1,595301,497913,-1,-1,-1,163320,-1,291421,-1,461779,-1,664730,-1,501824,-1,-1,-1,886810,99544,586752,-1,-1,-1,316344,483789,-1,-1,-1,-1,635845,443607,809991,26215,-1,744560,-1,-1,-1,674030,337995,-1,-1,-1,991209,201846,652613,344338,-1,517646,41538,811375,262571,-1,265260,-1,-1,459408,-1,929470,551726,-1,439238,-1,177494,528012,-1,550104,-1,941218,23280,821909,-1,-1,205690,-1,619783,100079,805776,279462,893047,523001,880571,-1,-1,884161,203372,756037,-1,-1,-1,238088,161807,759239,576944,689735,-1,-1,962832,21814,970784,-1,94453,204888,-1,-1,317427,-1,989340,-1,-1,-1,-1,335727,-1,783194,765115,984175,177928,455955,980806,-1,59289,181383,219185,245657,61649,-1,-1,-1,-1,247219,299417,198350,219666,518297,-1,663741,-1,-1,-1,772044,753695,522364,-1,-1,-1,263740,835565,-1,-1,225127,-1,511255,-1,274591,459307,-1,949151,-1,117821,-1,404924,894664,446449,665210,-1,-1,489157,-1,-1,607873,-1,952656,372429,889354,461389,344129,-1,-1,-1,563990,-1,181113,-1,848590,-1,-1,-1,-1,770627,989969,-1,964128,-1,831,-1,-1,870943,730893,664266,734470,843361,941316,184267,-1,462555,517728,488659,43461,948477,-1,-1,389160,-1,40545,661526,-1,15327,776297,-1,389037,170061,-1,752175,-1,135330,784026,486113,-1,-1,-1,-1,743622,968545,629219,240198,382813,-1,-1,218676,909431,-1,-1,176734,-1,-1,-1,-1,-1,-1,-1,198716,-1,194192,-1,-1,973711,-1,-1,-1,308162,-1,-1,685812,170707,653589,282229,-1,546113,-1,766189,-1,-1,107024,214906,-1,-1,188152,-1,-1,-1,-1,-1,447913,375097,-1,622565,-1,-1,215844,833020,406776,272295,-1,-1,52197,-1,-1,571564,-1,-1,245979,800733,-1,869655,873396,423421,248504,387384,724696,119129,505072,-1,-1,-1,-1,-1,-1,-1,605658,-1,852791,-1,203087,-1,385615,-1,-1,223123,-1,-1,779694,422993,680887,-1,392470,-1,226830,-1,891125,-1,877522,-1,-1,-1,-1,123341,-1,207906,-1,-1,-1,76077,-1,-1,492971,274413,-1,-1,-1,-1,45680,-1,-1,-1,-1,-1,990713,-1,590832,-1,623861,677489,408811,-1,-1,-1,-1,-1,-1,-1,948373,741402,826965,-1,-1,308845,885099,-1,-1,597797,555093,-1,663840,-1,653993,145601,-1,395519,-1,-1,-1,944096,800991,-1,77010,752469,132291,617061,291202,-1,842874,750682,504516,-1,-1,74524,-1,166949,331939,-1,111110,-1,345988,-1,357767,720228,-1,882309,329148,-1,368678,177022,770424,825378,-1,-1,-1,299969,125431,875241,-1,-1,-1,-1,802367,-1,-1,-1,-1,968045,995030,-1,-1,537757,-1,-1,-1,-1,-1,-1,-1,-1,836174,48637,716470,681928,-1,-1,186349,-1,-1,-1,-1,11677,355750,-1,779940,249984,-1,-1,-1,345180,-1,-1,649251,-1,495330,-1,-1,-1,-1,-1,-1,-1,393554,-1,118315,-1,868160,786657,504133,-1,825411,-1,-1,424496,-1,966513,131517,-1,-1,-1,900780,-1,359464,789555,-1,152275,422510,304394,2128,-1,483527,-1,863712,-1,-1,-1,-1,965325,427031,-1,145934,879823,133663,896219,-1,746698,464268,589951,19271,712733,491934,121663,927002,-1,678053,350378,-1,-1,-1,677185,547600,-1,-1,65492,807336,408866,540312,-1,-1,817477,391931,613342,726506,-1,892138,-1,-1,256118,320826,-1,266228,147976,216069,-1,970805,-1,893825,720277,-1,906688,431216,-1,686462,-1,393187,322307,722329,942373,-1,519938,566139,380823,753211,-1,929230,-1,-1,395146,-1,-1,638748,-1,-1,152566,-1,-1,708386,112310,-1,-1,449431,-1,-1,102190,-1,206680,-1,155638,134735,963301,-1,85136,-1,607409,-1,-1,302314,523760,-1,23550,-1,610154,-1,-1,-1,-1,941133,-1,535844,350157,-1,156950,554217,-1,681835,-1,823257,-1,-1,940987,-1,-1,332406,-1,-1,465468,938813,196276,495026,-1,737187,-1,-1,41444,306655,-1,631757,-1,767679,148829,-1,-1,233153,256349,229525,556985,-1,834492,-1,133539,269526,149869,-1,-1,354229,28772,15046,-1,541494,461909,124341,-1,-1,874212,-1,-1,454706,581694,-1,801080,486681,598017,-1,956396,-1,-1,-1,797426,-1,578163,-1,-1,-1,-1,-1,-1,-1,832744,-1,578293,389217,98388,-1,-1,289225,163375,-1,-1,-1,-1,610919,549563,948335,872597,815555,206090,-1,-1,365470,-1,-1,-1,818310,690194,-1,287142,964230,-1,84487,-1,66477,-1,821067,137270,276238,-1,22341,-1,-1,941751,598960,-1,-1,-1,-1,-1,-1,-1,952893,161263,-1,-1,-1,817677,327843,744673,679832,-1,218689,564305,4733,90002,-1,-1,538232,703619,662488,222281,-1,-1,435572,-1,-1,-1,989590,-1,699659,-1,-1,383250,-1,-1,293806,585482,-1,507731,185312,667744,-1,519724,-1,293840,-1,-1,-1,-1,-1,499036,-1,805417,356004,-1,-1,-1,722921,108170,934622,-1,856718,-1,176313,224501,912195,-1,-1,338642,-1,-1,429703,228101,594676,-1,-1,929655,391209,-1,-1,-1,-1,-1,-1,409937,862043,562696,-1,517411,-1,-1,187288,-1,158275,37828,11786,-1,-1,526330,720214,361584,565654,-1,722953,515889,665708,-1,220591,-1,94812,179626,-1,409255,489343,469828,-1,-1,-1,975386,-1,654641,-1,234621,-1,969051,219628,270612,971325,224362,348375,923379,511766,878869,250419,-1,658566,-1,336455,233672,-1,416365,651165,-1,-1,-1,935150,892782,545208,396813,372099,966935,156845,-1,333927,-1,-1,243063,956791,-1,763710,114644,-1,840770,-1,-1,-1,-1,-1,-1,-1,760413,-1,96393,42040,785872,-1,-1,-1,-1,-1,-1,-1,-1,837484,-1,68427,-1,-1,-1,64296,-1,330109,-1,-1,321723,-1,102337,583743,578172,-1,221482,-1,928052,-1,-1,-1,172266,-1,-1,449190,-1,-1,885198,-1,-1,95433,8043,920373,-1,95659,196394,-1,-1,509037,-1,240656,569921,966404,693298,334967,975297,354046,-1,-1,-1,-1,-1,-1,-1,-1,697405,-1,749955,876016,-1,210506,20460,-1,-1,-1,551837,-1,-1,168720,986651,-1,-1,-1,9093,754802,667717,-1,928672,714310,746364,399772,854562,312100,-1,-1,-1,258610,929572,-1,89916,550460,-1,135915,-1,-1,782393,-1,390870,601280,-1,-1,895192,-1,-1,182594,385142,686081,-1,-1,-1,-1,952293,-1,257222,490576,-1,300583,819600,-1,431863,-1,139114,-1,783517,-1,-1,949336,-1,975158,-1,-1,-1,513621,-1,419401,92883,-1,147930,305340,156734,492648,734727,975193,-1,328596,761454,181017,344024,549246,-1,-1,826058,-1,-1,869471,-1,-1,701972,-1,-1,-1,-1,192178,-1,666012,877716,-1,-1,-1,-1,823140,650770,85197,40754,-1,588728,125727,803882,135153,-1,-1,205411,-1,-1,461645,296622,342574,-1,864790,184612,571985,987201,-1,238977,672520,-1,-1,371276,-1,-1,-1,-1,-1,696660,665932,913250,-1,-1,795307,-1,-1,894344,660015,-1,42031,376222,863068,362949,-1,-1,-1,-1,995277,-1,845403,251856,-1,-1,-1,867441,-1,284713,-1,910052,-1,589210,76116,-1,-1,370096,167812,43733,-1,-1,21671,613138,-1,352786,456284,-1,-1,459616,187513,-1,-1,-1,-1,459192,346072,501295,821908,-1,-1,683939,211165,-1,58450,417169,560491,143615,472658,755942,473155,153038,383506,-1,-1,493316,-1,97686,516621,-1,573107,618120,218745,435212,-1,-1,306656,-1,401872,274660,-1,-1,471757,-1,150206,321768,806101,834812,-1,-1,-1,946897,761474,-1,803307,6113,-1,261111,640720,-1,-1,-1,-1,-1,-1,-1,570055,-1,-1,-1,-1,285690,-1,-1,136461,867403,512095,943596,-1,623494,591499,731074,41905,-1,798493,-1,171796,343345,398086,918468,77345,-1,420326,652394,737496,536668,62364,802020,-1,-1,55733,333796,598450,828353,491028,-1,-1,360898,-1,860645,881951,363974,-1,-1,-1,-1,825641,406836,391473,185917,462823,-1,-1,40767,-1,894702,420347,-1,-1,-1,238484,119237,81792,650333,-1,777917,412475,-1,-1,338429,375334,353860,-1,-1,500616,550110,-1,31968,-1,-1,275225,-1,-1,-1,-1,280052,-1,812643,-1,212645,520508,784468,-1,627994,-1,-1,-1,523648,-1,-1,781284,-1,-1,-1,600417,-1,71555,-1,-1,945311,-1,821415,133801,408991,794993,-1,-1,-1,-1,-1,96012,810830,443553,681255,764935,-1,215660,-1,-1,-1,294898,5631,-1,-1,852306,-1,-1,876647,797163,170655,-1,774237,-1,525675,261465,433584,-1,276275,-1,-1,335989,-1,-1,281453,-1,99898,474631,-1,-1,18449,199736,-1,628608,-1,-1,-1,664259,414766,678370,-1,-1,-1,946564,630896,-1,-1,192268,-1,-1,243018,794688,-1,-1,325315,207340,-1,-1,-1,274358,-1,-1,121567,-1,985820,129431,-1,453044,807538,-1,45311,-1,407828,-1,178883,-1,-1,-1,181041,687630,927099,626274,-1,-1,-1,-1,-1,-1,362619,190505,-1,-1,-1,109633,-1,960827,421048,885931,-1,632905,118109,209264,-1,830369,-1,357728,251011,-1,238340,372156,629179,515400,-1,-1,673025,-1,-1,768828,-1,633578,-1,493508,-1,530071,-1,-1,619228,70278,7574,-1,436253,-1,-1,-1,-1,-1,290760,301892,-1,-1,-1,-1,874718,493065,678384,966251,236441,-1,710608,686007,-1,-1,-1,-1,249253,81459,807955,175996,-1,-1,202783,839783,-1,-1,-1,-1,-1,394673,-1,-1,98673,-1,-1,430698,555018,498248,181557,-1,-1,-1,112425,-1,-1,550170,-1,147466,-1,675177,-1,-1,-1,516504,-1,767359,886565,700427,-1,628628,-1,324860,-1,-1,582341,343573,688963,665620,-1,-1,-1,-1,-1,499245,745078,-1,-1,-1,237593,520629,652158,942859,691050,-1,687442,-1,153750,-1,130939,584677,-1,126410,-1,871055,-1,-1,-1,566268,701916,81531,870346,-1,-1,-1,-1,301108,628613,-1,-1,268076,871831,366145,836660,-1,415078,-1,429225,22886,-1,-1,-1,340316,42876,172042,172316,134549,-1,207721,193265,-1,-1,589198,-1,-1,-1,-1,-1,-1,-1,896865,256160,907478,829241,-1,-1,-1,20155,-1,-1,649852,-1,173942,676421,-1,995333,-1,-1,883672,105132,-1,-1,-1,-1,-1,-1,185833,976031,-1,-1,-1,-1,47940,890279,-1,-1,-1,-1,33143,738081,237081,-1,-1,-1,-1,-1,215406,-1,750935,-1,-1,789926,314836,33288,575535,490293,-1,-1,695456,-1,-1,-1,85756,33104,881307,-1,-1,475715,922363,434720,504365,530914,-1,-1,-1,553594,-1,358156,-1,-1,-1,201961,-1,-1,58371,-1,778152,-1,-1,-1,-1,-1,737727,665790,437969,931301,-1,-1,-1,929475,321890,-1,-1,-1,-1,-1,312417,-1,-1,-1,-1,-1,893504,59264,-1,176622,-1,661024,-1,-1,-1,-1,-1,-1,-1,541112,705663,-1,295838,-1,342382,-1,494146,-1,-1,449833,-1,-1,245666,339627,521527,-1,-1,-1,83728,139344,782874,-1,-1,225507,95869,385675,-1,445192,247984,-1,-1,-1,-1,-1,-1,-1,-1,569069,498836,724797,427424,-1,-1,-1,134177,-1,-1,-1,322274,-1,750829,-1,-1,935037,139149,909755,-1,972416,-1,-1,316543,602951,-1,984976,-1,900551,-1,170127,448146,-1,857822,-1,-1,421092,234140,438504,-1,-1,729056,-1,-1,545138,346994,-1,-1,82062,-1,786215,-1,286431,-1,502091,-1,-1,-1,718862,420929,-1,711522,-1,899830,791531,124320,-1,501336,818269,-1,-1,871820,-1,963181,-1,59927,259318,42096,466110,-1,-1,558999,151029,288295,-1,49431,884434,113483,493063,751195,673719,-1,-1,-1,-1,-1,-1,187155,617172,-1,874978,-1,-1,650290,497111,425330,-1,-1,764307,-1,260355,168786,-1,644346,-1,-1,553740,-1,524586,216965,697161,-1,862537,-1,-1,-1,-1,-1,234886,353205,624384,-1,148247,961514,-1,392242,-1,-1,-1,980810,-1,951686,414188,305289,-1,893749,515173,249507,317294,-1,-1,255208,898093,220701,485708,756437,-1,569913,-1,-1,-1,892233,109026,-1,172880,-1,276941,-1,-1,-1,634482,359740,-1,-1,158202,258019,-1,338388,588606,449481,739588,-1,-1,620693,-1,125104,978533,-1,313895,-1,-1,-1,876967,430827,-1,-1,139122,966539,-1,58871,-1,-1,10216,-1,-1,-1,-1,-1,-1,-1,665101,905849,719952,-1,-1,-1,-1,142291,-1,730462,-1,565316,-1,640573,-1,-1,492539,250027,-1,120245,671106,580583,265843,44151,496772,153025,-1,8344,214887,7408,656189,-1,763108,441926,-1,829695,-1,-1,921141,-1,467767,-1,-1,-1,1398,-1,-1,898107,-1,-1,593222,93394,-1,316929,-1,-1,928165,-1,-1,142549,-1,299747,-1,964135,-1,214056,-1,-1,10306,-1,6078,620581,-1,-1,413198,-1,-1,-1,-1,90815,-1,-1,384905,835848,83322,-1,-1,-1,-1,-1,913272,416653,103201,601746,-1,-1,284660,575014,-1,387745,-1,-1,-1,-1,-1,653879,-1,899844,987870,-1,-1,688302,660686,-1,611096,898274,-1,844039,-1,-1,597151,-1,107554,-1,-1,-1,-1,14309,371779,-1,176256,623900,559787,624838,-1,401860,-1,867287,-1,-1,-1,794403,-1,-1,44262,22090,-1,836313,-1,809874,-1,946045,-1,-1,816565,-1,-1,-1,863803,635218,-1,-1,-1,-1,-1,-1,147502,806049,43260,-1,64853,-1,-1,169962,486771,-1,30759,-1,-1,-1,520115,121325,334314,-1,-1,997932,-1,177750,-1,-1,-1,480222,-1,-1,-1,503481,263831,205695,-1,-1,-1,978392,-1,932385,-1,-1,72927,98558,98525,362018,150439,-1,-1,-1,-1,-1,615783,-1,-1,-1,23084,69598,430360,-1,-1,350460,-1,424240,-1,482030,-1,903851,-1,975965,-1,-1,149450,239263,-1,-1,554269,302605,-1,-1,-1,844493,387682,552670,-1,-1,-1,603639,-1,616385,268199,356316,538933,800404,159081,-1,-1,590686,-1,-1,-1,-1,-1,-1,515641,-1,-1,124836,-1,-1,-1,356476,-1,381130,699205,516979,-1,170912,-1,-1,-1,-1,843441,-1,-1,-1,-1,-1,365753,871863,178810,-1,-1,303420,30448,-1,708862,738303,738139,513294,-1,-1,504657,957647,-1,113116,298819,-1,-1,-1,-1,279475,144474,276330,151583,-1,774524,37784,849874,473159,382194,-1,-1,898224,-1,25681,408260,-1,645926,-1,41558,-1,-1,430243,226337,750184,-1,61274,-1,-1,240777,-1,665552,-1,735479,712200,-1,314337,131272,-1,-1,-1,-1,977470,-1,-1,121062,-1,458650,-1,555232,-1,-1,223206,-1,276599,-1,579410,-1,30675,-1,250026,232065,874115,-1,335788,-1,-1,604258,-1,100226,901335,808173,-1,-1,-1,865187,459639,469467,986154,-1,-1,685190,497712,-1,94686,-1,-1,-1,855702,-1,994033,-1,-1,-1,891015,-1,-1,-1,-1,-1,-1,-1,872051,-1,-1,-1,198756,362360,839092,50082,-1,-1,-1,741993,350549,-1,-1,-1,-1,920522,-1,-1,131264,181855,320659,629979,368961,-1,92301,-1,-1,529474,-1,139275,834503,573487,67953,-1,-1,-1,-1,318026,885692,-1,-1,-1,-1,486600,-1,-1,-1,905890,258660,-1,327975,90986,936630,-1,-1,-1,439672,-1,-1,-1,-1,-1,145844,-1,-1,-1,405890,297007,-1,-1,277491,-1,350541,774076,610219,-1,557480,-1,981319,293287,521078,78832,-1,-1,-1,-1,709533,-1,-1,-1,-1,-1,-1,-1,-1,92852,141024,314807,-1,177889,381811,-1,-1,-1,-1,656384,772180,-1,-1,-1,960230,-1,991919,313543,-1,187693,-1,905999,811268,607718,-1,147995,-1,-1,56015,-1,861963,-1,138016,134861,-1,540123,-1,713925,862064,889442,-1,-1,730704,-1,601854,759851,-1,307086,-1,905460,-1,-1,-1,-1,688976,-1,-1,-1,-1,-1,-1,-1,-1,129792,413596,-1,310554,-1,-1,-1,-1,808111,966446,-1,-1,785705,408254,-1,737785,128746,-1,-1,-1,-1,445599,115634,-1,-1,370203,-1,-1,814146,-1,-1,-1,624638,-1,-1,234366,-1,-1,-1,454610,800638,-1,-1,102618,735013,-1,-1,491686,-1,-1,545123,-1,-1,517526,121757,-1,919800,666977,-1,-1,212884,-1,936116,-1,-1,742608,929550,-1,904225,-1,252006,926785,-1,252269,-1,345118,406664,-1,-1,-1,-1,52385,963494,-1,954041,-1,493625,951132,-1,557793,262225,15115,-1,-1,-1,-1,570946,473,-1,856761,-1,-1,-1,242844,-1,879314,547150,972951,997025,-1,-1,548978,21786,860044,-1,962141,-1,513332,68164,213842,-1,796054,-1,81839,235431,23334,-1,99675,515219,911632,-1,-1,-1,616513,336412,-1,-1,627286,33713,-1,706284,247771,824112,609927,-1,919238,447486,7801,-1,-1,59839,-1,104972,-1,-1,923956,931644,-1,-1,834972,-1,71520,-1,-1,761365,703352,837082,-1,389052,669746,-1,-1,453199,-1,-1,612081,651382,405561,-1,-1,-1,125928,8975,468544,-1,251634,-1,514025,-1,-1,102601,-1,-1,-1,2187,658243,5336,109134,-1,-1,-1,-1,-1,970699,963443,206581,301591,-1,-1,961567,494123,544383,-1,861997,192035,-1,-1,685472,-1,-1,84173,-1,579070,261850,527151,-1,318586,950719,-1,710333,463585,-1,714645,-1,-1,851660,-1,234559,-1,893483,555717,-1,-1,548456,-1,-1,424396,-1,204235,-1,716534,-1,502765,-1,-1,945724,799031,-1,844518,-1,-1,585278,697992,-1,-1,-1,776643,-1,-1,-1,573846,986386,191839,249226,-1,-1,-1,348213,-1,-1,-1,-1,493110,-1,-1,50826,-1,-1,-1,619557,1707,-1,-1,226602,-1,-1,-1,522767,244418,-1,26231,725068,452599,979789,-1,645896,-1,-1,363495,46663,-1,958326,60080,-1,-1,-1,-1,764715,-1,-1,-1,372357,-1,-1,-1,-1,409749,352489,189047,543634,666037,-1,604643,-1,-1,-1,951581,132458,-1,717013,732870,930087,-1,-1,329028,9192,970466,-1,-1,-1,916758,664446,402245,-1,49418,443656,-1,-1,-1,887351,-1,608504,-1,-1,-1,-1,312798,-1,565823,566779,-1,673668,529658,-1,695580,-1,-1,-1,-1,989753,357900,-1,599699,-1,106394,-1,264862,-1,652617,693785,557109,260914,793689,-1,-1,402224,463946,156729,-1,194827,159350,-1,27728,-1,787780,149315,-1,384483,-1,897247,-1,-1,-1,698844,-1,-1,423020,-1,646052,26873,108460,-1,108459,863461,912593,-1,867822,-1,740652,203766,-1,985416,795368,343741,840191,596515,882365,375593,-1,610269,714371,992923,968434,630991,-1,-1,303483,921223,-1,-1,452387,323195,-1,-1,227446,974399,149598,351144,-1,-1,490493,-1,-1,595582,25859,808278,-1,-1,-1,-1,902729,527811,542580,-1,773850,-1,-1,390042,-1,-1,883745,236639,612699,91975,496381,-1,578972,-1,131778,184406,796957,-1,-1,371085,-1,-1,-1,-1,265424,-1,-1,125804,194384,744171,857958,682320,217935,241445,322291,-1,146746,362712,-1,714282,-1,454223,879679,546407,167634,366313,-1,245849,-1,-1,-1,-1,-1,-1,-1,682397,-1,-1,-1,-1,-1,939074,353577,291587,988545,431862,413037,-1,385545,249952,-1,-1,648958,-1,934766,875260,400434,-1,960352,-1,127932,-1,408989,198589,7292,-1,-1,313217,-1,-1,715265,-1,-1,525307,-1,606220,-1,208099,-1,-1,676722,375562,163284,-1,-1,705317,-1,764647,65901,797215,743844,638803,149196,124138,-1,-1,984531,376390,-1,-1,-1,188083,-1,-1,973179,139299,-1,-1,-1,96648,368909,-1,-1,776613,-1,968106,-1,326595,-1,-1,563167,650911,212168,29635,-1,-1,292396,-1,-1,-1,-1,510865,-1,-1,430453,-1,-1,-1,705592,970922,625698,-1,160501,-1,-1,7287,588305,-1,684702,409672,379041,-1,880829,-1,900194,287215,-1,960881,958495,602493,655244,541322,-1,393494,217240,-1,809584,739184,-1,-1,164851,-1,-1,444558,-1,-1,947141,373979,487552,-1,83716,-1,312043,94771,-1,385162,814772,-1,218801,-1,346430,-1,-1,-1,137109,-1,154595,658313,530618,-1,-1,539495,-1,-1,99455,728533,711653,363346,477586,-1,289126,388922,238214,611992,951153,-1,649154,186125,261956,730377,794624,-1,-1,-1,-1,324098,-1,486599,397446,371594,315560,-1,-1,-1,284810,-1,-1,-1,492744,-1,351223,427290,215128,199398,904759,325096,-1,-1,865529,482480,168591,304674,718402,692319,-1,905590,-1,-1,980034,-1,669423,-1,707872,118180,-1,-1,657274,-1,-1,-1,335672,1176,497020,-1,-1,-1,-1,483701,-1,-1,216010,-1,-1,-1,955163,801933,-1,-1,989848,-1,889371,845208,846037,84630,103029,709868,846510,344981,459367,195370,-1,-1,-1,-1,-1,836191,889666,933481,-1,-1,360608,457644,-1,-1,-1,594691,-1,672994,-1,-1,-1,736123,-1,758288,932626,332629,-1,60017,-1,-1,927543,558156,107165,785959,-1,-1,400233,388730,-1,268362,-1,-1,-1,-1,-1,157302,703210,14441,-1,27526,-1,384395,871138,-1,435541,857492,739235,300022,-1,91083,-1,645520,523028,736530,-1,701462,-1,-1,-1,217053,-1,-1,675934,749085,998646,471195,-1,591784,117368,239989,-1,-1,-1,872430,-1,82199,736173,317191,418457,949798,286976,-1,-1,774533,-1,208963,295004,-1,-1,789190,277480,632167,-1,-1,104127,142187,646613,45183,923679,856128,-1,-1,35013,-1,934817,-1,323835,644,526068,689790,35371,491279,918130,176495,908144,696414,-1,-1,-1,-1,596374,-1,-1,251967,122496,185575,-1,532367,-1,-1,-1,627425,893432,-1,477942,306089,-1,977611,-1,476977,-1,479184,-1,668619,-1,751958,-1,-1,966110,-1,-1,-1,-1,730945,-1,345981,579841,13335,814149,330126,112132,-1,-1,-1,-1,-1,-1,615147,-1,-1,256458,37943,-1,234334,345008,595283,-1,-1,440891,-1,-1,-1,216544,-1,358108,-1,879035,206884,909815,-1,935330,-1,998216,-1,-1,395044,898005,-1,-1,423054,-1,15091,43047,585557,466631,852812,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,727866,560877,838227,658787,562553,-1,-1,-1,-1,-1,174064,789212,-1,663658,-1,798601,-1,646922,37127,579762,508272,-1,-1,-1,530590,-1,-1,-1,-1,961778,-1,683742,-1,953727,384574,-1,359490,376446,-1,183784,-1,113778,238902,435652,379697,-1,342282,328990,-1,332842,-1,104647,62530,-1,451563,939120,606473,76570,-1,152766,986933,-1,679755,224062,164463,-1,776068,-1,-1,716348,-1,622277,476967,-1,29776,608416,596567,-1,-1,649816,-1,-1,-1,-1,195257,-1,407874,140477,-1,-1,858949,-1,296030,979487,-1,890663,-1,15086,-1,85926,-1,-1,-1,588917,-1,-1,-1,-1,-1,-1,709957,-1,906037,-1,301638,-1,270236,590593,-1,609800,600776,187441,578313,400306,67032,-1,682093,648874,-1,408043,-1,468638,84598,694637,-1,-1,-1,432124,-1,794729,-1,-1,714367,185745,230357,92962,-1,-1,646722,693757,598604,828806,-1,-1,952978,70599,826329,-1,-1,-1,-1,798254,-1,25981,-1,-1,-1,-1,380837,-1,-1,816212,72468,324207,-1,-1,-1,-1,-1,-1,-1,253083,-1,310474,-1,420530,605830,334915,-1,769487,282489,-1,713366,-1,812486,198746,680473,431851,782490,-1,-1,908135,-1,197623,437563,-1,664989,928317,270695,-1,-1,490759,-1,-1,814749,-1,-1,202848,999558,-1,163388,-1,34008,128237,-1,-1,-1,-1,-1,-1,-1,790582,-1,-1,-1,754437,949020,-1,-1,-1,-1,833254,351036,-1,-1,350432,-1,-1,518362,97515,195429,169755,-1,421038,887865,-1,759702,-1,-1,-1,-1,-1,-1,-1,-1,-1,942524,-1,303795,506740,811484,297664,-1,925824,404060,706429,-1,555308,-1,396481,847230,-1,392333,591975,-1,439421,404603,792906,-1,512519,-1,560523,179166,-1,417888,-1,90520,-1,-1,951246,819727,-1,-1,-1,-1,-1,155521,-1,788831,537724,-1,277859,-1,-1,-1,911513,34052,314215,885867,-1,62787,859858,952154,-1,-1,-1,637708,-1,903419,681330,556324,710272,-1,-1,-1,-1,535172,958310,-1,-1,-1,-1,74118,398192,-1,-1,-1,-1,641551,413369,-1,-1,584693,-1,-1,576681,-1,108963,447705,-1,-1,759156,982150,496826,163706,-1,-1,-1,-1,34003,-1,-1,754828,515927,-1,-1,-1,153786,-1,329891,77301,-1,-1,154408,187455,-1,-1,-1,-1,544844,879636,996569,-1,-1,491779,641059,-1,-1,-1,-1,587912,-1,-1,-1,788994,-1,449560,945813,-1,-1,878209,-1,428660,-1,673517,-1,248982,932341,334388,983262,653668,-1,-1,-1,-1,816220,778713,661724,278083,-1,180948,-1,-1,-1,-1,-1,528653,-1,-1,-1,145372,993269,-1,350695,755649,-1,-1,797330,358911,877204,-1,779922,-1,934953,-1,999754,216139,137180,931551,135637,198389,203137,-1,-1,499895,-1,-1,49616,-1,650075,-1,-1,-1,32699,546343,-1,-1,-1,301507,-1,-1,213484,106531,602833,-1,885954,774704,415396,217008,129526,-1,928648,589850,-1,30293,-1,611612,287406,-1,649343,512913,-1,224257,919135,84620,486115,-1,158794,620921,830209,-1,-1,-1,-1,154495,-1,572468,177063,296040,143917,-1,-1,-1,216488,-1,-1,-1,333411,-1,952706,-1,-1,221110,-1,783520,894676,473654,-1,-1,-1,793450,-1,-1,543835,229359,672102,-1,63725,-1,-1,-1,-1,-1,603733,-1,513312,-1,-1,838885,-1,-1,654782,-1,-1,-1,-1,15279,-1,542290,371825,462864,-1,365884,-1,-1,714175,391987,939002,255638,-1,603400,317575,318133,-1,721721,189222,363399,43838,658239,-1,-1,89231,-1,-1,546888,-1,-1,-1,-1,-1,-1,690840,737495,776483,-1,727900,-1,-1,518739,725412,-1,201604,583740,467873,-1,699156,638261,504826,-1,-1,801935,938485,-1,-1,157475,-1,-1,574185,-1,-1,-1,-1,928308,-1,180533,98173,2544,713585,-1,535604,116778,691763,638736,-1,227716,-1,242568,-1,999695,249601,228950,-1,214405,315542,124586,-1,296714,848031,-1,-1,-1,629728,-1,-1,-1,640130,-1,835611,919346,-1,902626,581923,-1,493470,136025,144863,-1,-1,822085,776645,400478,241574,-1,-1,37812,-1,-1,512451,817298,478285,388619,499740,-1,-1,-1,-1,278327,-1,215739,-1,987348,-1,647931,-1,-1,-1,-1,15801,-1,-1,436251,473087,956277,719465,-1,-1,-1,-1,-1,78976,-1,-1,451438,-1,533907,-1,479727,-1,728850,902048,182078,60482,680593,-1,-1,-1,361267,421228,655415,6722,-1,-1,-1,693880,551943,613880,-1,-1,-1,-1,885767,105430,211997,-1,786805,325145,-1,-1,863021,-1,-1,-1,509366,-1,-1,-1,-1,212363,593472,626897,643702,123286,-1,-1,-1,-1,-1,-1,787992,-1,-1,655287,607040,101270,844636,-1,198487,565250,-1,-1,-1,90895,-1,-1,81170,642406,970708,-1,601109,273825,-1,375869,507988,-1,106364,706186,699928,680167,-1,-1,511560,-1,210218,812780,-1,706276,358528,-1,-1,615770,862908,-1,-1,-1,606078,911048,788273,-1,-1,-1,532791,316015,-1,-1,546173,118367,422116,470109,702600,-1,-1,-1,564309,-1,582170,288517,630762,672880,-1,-1,-1,963735,-1,504341,689420,60861,538045,-1,63155,26063,-1,-1,-1,646692,598916,559589,-1,258625,777750,-1,-1,-1,627191,-1,-1,236095,514834,-1,-1,-1,-1,-1,-1,239977,-1,440754,673776,317535,677428,73507,-1,332265,935368,-1,331506,796780,-1,-1,-1,462924,-1,183663,-1,585571,-1,382112,-1,684063,-1,-1,-1,887682,922696,108467,-1,-1,124918,249009,632765,972108,-1,480321,-1,-1,5279,-1,-1,920228,-1,-1,-1,685043,456639,70587,-1,-1,675801,-1,458361,-1,34667,276818,-1,381993,651470,-1,-1,-1,-1,-1,350821,416514,-1,-1,-1,612284,-1,273562,199762,-1,48672,-1,255783,319824,-1,-1,-1,-1,-1,111545,837781,-1,534473,602064,-1,-1,-1,588829,-1,828237,623110,-1,-1,789281,854472,-1,340728,135552,-1,851633,457875,-1,-1,825501,-1,716168,823184,402537,12027,402953,-1,170861,-1,-1,-1,660133,-1,377735,571222,-1,-1,886077,-1,-1,150957,-1,690827,-1,665874,-1,432655,-1,87454,-1,77181,-1,771131,876936,410975,636445,-1,-1,460179,881160,84468,231828,364620,-1,461407,-1,-1,219803,416804,557878,-1,457833,847020,-1,-1,-1,161441,-1,552913,429148,359377,304763,912299,-1,571831,622333,512294,132353,-1,107638,740897,-1,619114,-1,396353,660928,-1,299066,-1,-1,-1,330186,25136,-1,185395,-1,357472,975983,-1,905850,476393,-1,-1,-1,-1,-1,952686,-1,-1,421386,-1,-1,-1,-1,-1,872900,705355,743396,707944,397160,220947,-1,239184,667358,80314,224861,-1,610886,935323,888272,107156,-1,-1,-1,-1,433645,-1,-1,404656,-1,-1,-1,739565,-1,-1,-1,846906,709559,-1,-1,376814,-1,-1,656148,715974,16832,-1,-1,289558,727720,-1,932729,-1,677042,613295,-1,-1,577604,-1,-1,893565,-1,455946,-1,373122,138631,-1,-1,378895,-1,-1,116116,251691,-1,-1,893029,-1,-1,719934,-1,662714,239784,859326,-1,-1,447937,-1,-1,-1,-1,597484,555970,815328,-1,214994,985678,-1,827474,9167,281235,494360,741022,-1,-1,-1,712877,-1,-1,-1,-1,-1,694836,970407,921260,499739,-1,-1,-1,588608,-1,-1,-1,144997,-1,71683,-1,-1,-1,462201,-1,-1,220622,-1,-1,-1,433481,655005,-1,-1,382802,143380,-1,817157,395509,952211,321701,-1,-1,-1,710267,818855,-1,231051,-1,-1,916807,762456,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,933409,30137,-1,884700,-1,-1,-1,817639,436757,-1,764992,-1,88773,457509,587545,153246,-1,-1,242260,-1,-1,-1,634532,-1,-1,73801,-1,902981,533624,-1,-1,-1,325562,705085,465871,-1,-1,-1,81263,451424,-1,-1,79559,442580,284472,754248,-1,233325,-1,885761,269995,246880,534828,787702,-1,-1,597191,-1,589551,222552,-1,-1,-1,-1,743382,333539,302931,347706,-1,515733,330965,684455,728769,34467,-1,-1,-1,14422,-1,-1,-1,540847,746269,894915,-1,-1,-1,78526,713051,342526,-1,-1,-1,-1,642184,207821,-1,610748,-1,-1,-1,67927,-1,-1,596875,257954,-1,878275,-1,-1,-1,-1,-1,76220,-1,289114,-1,580020,538627,-1,-1,731793,944732,-1,827180,638319,-1,836659,-1,55933,887068,-1,51047,-1,-1,-1,237268,787086,44707,-1,-1,-1,-1,720918,-1,902395,-1,304881,909010,962809,869496,767215,20911,792258,-1,854489,-1,800059,-1,-1,-1,417387,-1,-1,446826,280404,-1,658179,821522,949172,933054,-1,657425,-1,-1,308980,997011,461664,-1,-1,-1,-1,778737,-1,827570,838424,-1,596045,949457,915876,-1,761914,618660,764355,562732,-1,-1,-1,400541,-1,156666,132916,-1,-1,-1,-1,-1,-1,83909,163396,-1,702337,80753,-1,545947,445802,-1,-1,347366,789703,507466,-1,953183,-1,57346,930262,224899,-1,-1,824859,27097,966652,-1,176550,397814,679870,-1,779942,-1,808067,992814,-1,-1,-1,-1,-1,-1,-1,285328,161895,791497,938660,884596,53072,-1,853039,704530,709503,424213,876,628265,447056,-1,153555,104624,985462,-1,399797,-1,-1,-1,783249,-1,-1,-1,-1,-1,232910,-1,-1,-1,313081,903726,528549,507742,476834,807592,303683,-1,-1,354425,308630,-1,-1,756103,144568,892298,121695,83822,216919,-1,-1,-1,667250,-1,-1,413112,33922,591542,-1,956665,-1,-1,-1,-1,-1,-1,23019,-1,245497,631294,374221,-1,670070,20829,288099,797576,964284,608433,791281,-1,-1,44159,247767,-1,-1,413946,199430,-1,757668,-1,-1,715745,-1,507984,-1,-1,-1,473117,-1,358452,-1,-1,-1,473828,-1,-1,-1,466455,717181,398285,855188,-1,914922,-1,-1,-1,-1,882316,-1,423790,746103,-1,34406,-1,506924,676688,7409,-1,-1,156978,-1,980297,602893,495354,-1,-1,-1,-1,-1,302324,173252,-1,276528,269113,-1,360969,-1,-1,-1,-1,-1,904593,-1,-1,-1,558774,416235,-1,361661,798632,110702,786616,-1,60389,749239,799579,-1,-1,808187,632428,-1,-1,-1,15696,46384,483058,-1,-1,800863,413862,-1,161618,983686,526454,-1,427771,944966,951256,-1,-1,509788,-1,-1,-1,-1,383168,-1,-1,-1,-1,-1,-1,804831,-1,625874,829072,263714,910117,-1,-1,-1,-1,-1,830667,-1,586777,-1,578044,-1,-1,-1,402124,-1,-1,457623,-1,554395,767931,-1,-1,563912,891204,441136,231211,-1,136940,709049,101975,-1,-1,76968,971326,209638,650129,-1,484308,984035,420016,140710,-1,724621,-1,-1,-1,5494,802463,-1,622373,-1,165747,-1,250748,-1,991200,-1,-1,144142,-1,-1,-1,672213,563290,685391,413685,-1,-1,955513,-1,39513,535364,-1,409975,584781,-1,-1,-1,-1,311756,649645,-1,704128,224118,-1,571177,-1,732809,-1,302519,-1,-1,-1,-1,563872,359960,-1,-1,419086,-1,-1,938677,161154,-1,-1,607168,549048,572125,470831,-1,-1,-1,-1,455341,692862,36169,544856,-1,933168,541785,588847,-1,-1,17230,-1,-1,-1,-1,-1,478165,-1,-1,-1,28564,-1,449897,-1,191970,47934,-1,195489,834668,422670,-1,-1,706697,-1,466469,-1,468193,-1,683127,272390,767064,398931,-1,-1,-1,694827,188122,309149,-1,376505,-1,561485,-1,-1,287292,548301,-1,944173,-1,-1,144495,-1,-1,-1,791910,-1,500391,-1,-1,905350,273317,86365,-1,217327,259808,208446,677038,514252,667802,-1,515787,-1,435739,969039,299517,315800,553926,-1,463243,-1,-1,260504,152290,-1,572784,-1,603059,-1,-1,-1,884685,-1,88123,99441,341593,-1,762347,-1,-1,-1,-1,-1,275544,-1,96033,872645,970653,142639,-1,-1,-1,-1,88202,133711,-1,79810,318304,-1,-1,-1,5223,496891,159220,994151,643836,683529,-1,254007,645102,17444,856373,-1,-1,-1,-1,-1,-1,89731,344880,134791,262259,-1,-1,765002,503051,-1,186255,-1,-1,-1,282840,-1,-1,-1,-1,445976,921899,-1,724295,-1,-1,-1,-1,-1,96588,-1,93520,-1,-1,794487,391218,-1,69242,847311,-1,-1,86529,-1,877579,-1,286938,157020,677069,-1,-1,-1,-1,68151,486834,-1,-1,-1,-1,-1,142337,-1,-1,167886,302648,-1,259439,-1,-1,658277,-1,288053,-1,124041,321645,51827,-1,-1,-1,79280,-1,-1,-1,-1,-1,-1,-1,158946,812970,-1,-1,-1,-1,-1,-1,-1,200819,-1,-1,223264,769561,-1,-1,-1,-1,-1,-1,287037,377229,-1,-1,-1,41473,84694,-1,-1,570890,263254,511147,-1,-1,295080,-1,586427,-1,-1,362974,422846,939400,239929,-1,-1,-1,445399,-1,-1,-1,837409,944418,-1,-1,-1,547335,-1,-1,819033,-1,-1,-1,297698,479616,627570,773602,201985,-1,-1,-1,-1,345178,-1,112548,-1,-1,-1,924845,-1,511786,75027,934786,937025,-1,357976,-1,334400,373876,823428,-1,484990,-1,-1,851145,-1,-1,-1,-1,254524,-1,-1,-1,-1,791341,105026,-1,-1,-1,39587,-1,-1,367713,-1,-1,999713,809400,503918,-1,-1,89633,199092,610292,-1,279384,-1,-1,-1,860504,-1,561927,-1,124533,328635,-1,793755,-1,306263,-1,28696,205523,-1,-1,818864,905032,522682,890140,-1,759538,-1,961588,972707,798948,-1,276346,-1,34363,-1,947425,-1,-1,-1,615527,19186,-1,-1,-1,206499,622628,404859,400933,118350,856162,-1,928995,477438,-1,309494,698415,917237,-1,474007,-1,-1,950858,-1,124980,-1,-1,-1,-1,-1,-1,347868,-1,-1,970717,-1,-1,149823,974488,-1,504956,203474,-1,380560,459641,-1,-1,212344,382499,107925,634940,-1,747208,-1,193039,-1,-1,-1,-1,-1,-1,499079,129688,634570,-1,-1,-1,-1,65373,-1,753288,12342,-1,-1,464191,863121,-1,108198,-1,96634,893534,-1,-1,179856,-1,-1,923971,54363,-1,-1,851772,732299,-1,-1,-1,-1,-1,-1,75380,364579,646561,-1,327441,-1,-1,289177,795812,-1,-1,-1,-1,-1,319710,413765,-1,562376,144215,-1,308177,-1,463511,302246,-1,-1,-1,-1,-1,406113,34675,-1,-1,818379,164932,732138,-1,573285,884767,-1,962892,530404,812410,-1,697426,202372,355860,-1,463136,-1,-1,-1,-1,-1,-1,884867,196259,-1,409884,-1,-1,-1,-1,201232,150938,578478,293557,-1,-1,-1,406272,-1,173674,-1,929722,892882,576327,253593,632424,-1,491374,256710,873124,972660,195227,-1,918816,645189,-1,-1,749987,-1,533663,-1,-1,348583,-1,562552,423612,585564,253975,-1,-1,283966,661469,-1,893351,681199,-1,-1,865966,731763,511447,-1,-1,-1,229539,790344,-1,-1,336148,-1,936724,671088,400729,-1,-1,-1,703026,145918,-1,-1,969623,961942,-1,-1,781838,-1,-1,556185,-1,-1,218664,-1,-1,545003,331823,-1,878146,-1,308304,316783,-1,-1,441093,-1,-1,722915,712694,755236,-1,696613,421330,549284,-1,706239,-1,-1,552504,562330,-1,-1,-1,375586,-1,478464,-1,260402,-1,-1,-1,-1,-1,785642,-1,27303,87339,-1,-1,-1,84939,-1,430631,449825,-1,-1,-1,-1,207635,-1,-1,-1,-1,-1,407911,-1,-1,-1,-1,-1,-1,-1,-1,803786,902020,-1,-1,163423,-1,224141,-1,662853,963863,507698,82335,-1,-1,-1,-1,911323,734007,494534,667171,309187,710819,96960,-1,-1,492717,462332,62800,952508,582676,-1,-1,138719,857148,-1,68610,-1,911498,118218,506463,-1,-1,859154,386143,-1,560604,-1,-1,266123,98569,436513,-1,360468,-1,930569,-1,-1,-1,162610,87409,657494,901293,-1,-1,-1,-1,940340,-1,872680,292723,-1,-1,-1,170074,321625,114143,712354,718202,498710,37308,-1,840476,593160,-1,146168,-1,-1,242781,471915,881163,-1,-1,-1,-1,-1,73940,-1,-1,-1,755415,818740,677451,422403,203480,308228,33295,85560,162413,-1,499704,-1,760479,802114,-1,-1,-1,-1,337891,741276,609510,519969,382958,-1,-1,805966,609412,-1,706760,874505,513158,966911,-1,-1,-1,-1,-1,412512,-1,-1,-1,-1,-1,-1,132313,-1,-1,-1,-1,-1,181243,966117,751392,388608,5222,196631,-1,-1,997504,-1,-1,-1,318658,-1,-1,368693,-1,-1,-1,-1,-1,-1,-1,596270,-1,246309,-1,-1,568250,-1,-1,-1,-1,-1,344946,495802,877322,-1,59244,943178,288819,-1,737665,-1,-1,-1,-1,-1,180624,605959,-1,989466,-1,-1,-1,-1,391312,919954,239320,-1,-1,-1,-1,506605,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,936768,-1,861321,54779,30386,-1,-1,161850,394035,-1,-1,-1,787987,530980,-1,-1,-1,-1,728606,-1,597020,-1,183096,444879,-1,-1,-1,364981,-1,-1,-1,-1,964281,-1,212084,-1,-1,640524,310416,-1,924222,638535,290205,693316,-1,252143,58589,-1,-1,650668,-1,-1,351251,-1,-1,-1,942658,41059,176366,-1,-1,-1,-1,-1,981898,-1,734346,-1,837494,615540,-1,-1,174938,89268,691450,48663,-1,723479,846749,-1,-1,376678,-1,484386,-1,-1,308826,341787,-1,628665,584713,-1,543265,699571,-1,753148,-1,-1,-1,-1,-1,-1,988836,-1,-1,210824,724010,-1,330051,930943,-1,-1,688711,522924,705072,701652,-1,404246,245557,579288,171139,-1,611071,-1,468961,949382,903248,545417,-1,-1,498431,379541,-1,92062,-1,-1,-1,-1,-1,459081,-1,-1,116525,-1,942287,-1,647263,-1,966069,156135,364756,-1,-1,-1,97025,-1,723231,-1,-1,164026,-1,535632,262325,823376,573144,-1,-1,-1,901890,-1,421762,923256,-1,-1,125791,-1,-1,-1,831615,63101,-1,518200,-1,841057,-1,-1,-1,560424,-1,695096,-1,-1,663147,166239,-1,-1,507446,870866,-1,-1,405875,425518,-1,-1,-1,-1,620961,172923,-1,-1,726979,299234,-1,-1,769958,-1,-1,97368,524105,702245,-1,-1,366707,-1,-1,-1,672249,-1,-1,-1,-1,-1,-1,236097,-1,469897,2805,944193,-1,703075,807272,-1,-1,822618,50594,-1,-1,-1,899938,516098,-1,-1,917101,247132,-1,330134,286047,-1,-1,-1,638887,684272,-1,918849,640917,-1,117710,-1,730963,-1,-1,-1,902091,-1,-1,278764,-1,839808,588727,-1,-1,-1,339613,-1,15902,-1,45571,-1,422754,-1,984255,-1,806460,217996,168726,837656,600859,-1,-1,644555,236711,358337,-1,578231,-1,-1,-1,153009,340235,-1,-1,-1,-1,-1,-1,262049,466501,-1,-1,462656,-1,630844,858592,-1,-1,734239,-1,904478,-1,-1,728445,-1,-1,-1,-1,276473,16500,-1,439901,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,701963,865252,-1,81763,-1,-1,-1,-1,-1,-1,-1,989760,-1,-1,-1,-1,-1,410197,507281,-1,-1,907554,182976,-1,37436,237438,-1,-1,735625,784916,592140,734094,-1,-1,-1,333352,-1,916914,-1,950018,-1,-1,-1,501301,974081,-1,252693,883623,339847,-1,-1,200656,-1,-1,974221,729324,710056,133578,-1,-1,401238,-1,968072,-1,928159,-1,436880,651295,-1,889730,245082,318444,-1,681259,-1,-1,-1,-1,-1,753418,-1,-1,147246,793048,562859,-1,-1,145777,-1,920456,994221,292939,-1,22307,460915,-1,-1,634360,684637,-1,-1,42269,-1,149276,-1,-1,-1,228448,-1,-1,-1,335294,339802,291719,-1,-1,-1,-1,-1,-1,-1,439188,113400,-1,801902,320228,970243,-1,679304,628267,-1,610513,174767,-1,-1,163781,-1,-1,869139,-1,993727,-1,488404,757646,364504,-1,761202,947475,-1,-1,-1,576445,509863,331739,-1,869342,-1,187392,-1,410289,-1,-1,48494,-1,-1,-1,-1,977566,999491,205196,-1,-1,-1,-1,705558,668533,526925,-1,821084,48372,-1,-1,256346,-1,-1,861004,-1,329625,164033,-1,-1,-1,927215,-1,273953,43924,-1,343957,-1,-1,16826,-1,614188,710187,-1,902587,321858,-1,997221,620706,19873,975363,396229,-1,269273,-1,-1,-1,352464,566933,-1,992689,-1,-1,912003,986784,706898,734254,759263,824389,-1,955335,734888,-1,740846,164224,-1,935223,-1,848243,130789,854120,69728,-1,767806,574973,-1,127423,-1,-1,742045,252916,655115,779978,503464,-1,-1,440699,964749,960962,-1,666367,292482,-1,345381,308990,-1,-1,538418,-1,688754,57336,92760,78209,946708,-1,-1,-1,430544,-1,741801,-1,591362,529710,-1,268489,324130,-1,-1,-1,-1,172784,44255,918411,-1,247501,-1,-1,-1,-1,-1,-1,473179,80189,-1,-1,-1,-1,-1,-1,-1,173504,682534,278101,-1,-1,-1,-1,566842,936728,-1,944070,638667,-1,895595,-1,277543,661224,100905,823763,-1,795662,-1,972246,717831,-1,230648,437756,319852,752159,-1,-1,-1,-1,-1,735702,-1,746002,437551,219647,253682,-1,-1,610487,-1,-1,-1,-1,449051,-1,710104,457359,-1,-1,541510,-1,421955,-1,-1,-1,283890,-1,-1,583881,-1,651328,-1,-1,-1,744313,246865,610236,402470,-1,306395,9700,-1,-1,-1,-1,-1,-1,560503,846254,369218,-1,222145,-1,-1,548000,115717,-1,-1,568087,-1,-1,-1,-1,-1,581366,245886,435504,316459,-1,-1,489316,-1,-1,-1,295896,120464,463664,-1,-1,647471,646804,-1,-1,-1,247801,621396,119607,-1,-1,468548,989309,82164,60372,962979,-1,-1,736467,934061,681831,-1,-1,-1,988919,558805,-1,-1,69675,-1,-1,-1,568880,-1,-1,899829,-1,-1,-1,420259,-1,433056,504376,-1,920777,-1,-1,895646,737181,74097,867520,-1,614107,761502,-1,605233,-1,-1,-1,451658,77112,-1,854797,324815,-1,377816,761443,565319,-1,447531,-1,249341,-1,-1,-1,594903,-1,-1,145447,-1,869428,895576,-1,465875,250876,-1,606763,-1,-1,604324,-1,-1,-1,320673,-1,-1,899056,-1,59484,198217,472045,461829,794078,934376,-1,-1,-1,-1,529448,-1,-1,-1,-1,-1,-1,-1,-1,949959,656315,-1,872801,-1,118605,-1,330819,-1,516357,67921,207007,586299,-1,81307,146108,-1,-1,-1,291832,239395,-1,838282,-1,916623,-1,338855,-1,310670,998535,101203,-1,-1,-1,-1,-1,-1,601288,-1,-1,-1,-1,-1,205351,261759,-1,498233,-1,-1,27965,-1,320231,-1,198991,-1,183257,650440,691498,-1,-1,-1,614248,229518,941103,-1,84088,-1,-1,139937,-1,509543,829976,-1,-1,509655,544221,-1,537110,76833,-1,644903,862212,-1,71837,-1,-1,-1,562963,-1,-1,-1,-1,-1,-1,426464,-1,843711,886409,964334,19012,857982,942531,371687,-1,-1,999125,443829,500965,-1,-1,-1,-1,215141,-1,-1,-1,986968,-1,7966,-1,-1,336260,14060,-1,103772,-1,740698,207521,-1,751472,745054,-1,-1,-1,-1,-1,-1,326340,195224,409199,-1,-1,200975,-1,-1,786880,837673,-1,-1,-1,819878,-1,-1,491422,629210,-1,-1,245306,722018,233563,544982,468007,-1,-1,374680,900249,485021,479416,-1,283218,-1,-1,-1,-1,-1,-1,22703,323470,-1,736136,-1,-1,305419,-1,-1,-1,-1,431233,-1,344138,61572,-1,-1,312909,818491,160997,479014,-1,142270,-1,-1,881023,405790,-1,773851,227965,177137,-1,-1,-1,860634,407086,-1,834994,-1,1496,-1,524676,441960,-1,840542,957233,-1,-1,102217,-1,265485,363430,-1,-1,-1,378533,961302,108399,412058,401695,762284,329830,-1,136130,256906,-1,-1,-1,-1,-1,-1,614789,646295,-1,736758,537109,939901,73649,-1,535706,-1,884659,-1,-1,85783,-1,-1,857168,149141,-1,710382,-1,-1,948155,-1,-1,259892,740813,-1,-1,270621,784205,743378,-1,-1,918476,452431,490019,-1,506073,-1,782802,-1,-1,-1,-1,-1,152110,669459,398577,694335,865717,263119,673703,-1,-1,-1,294131,-1,-1,114140,-1,-1,117014,-1,-1,-1,394977,705619,-1,21748,-1,904881,-1,651803,987120,174136,-1,806614,568523,219873,-1,168029,699859,454378,756345,-1,868809,-1,-1,-1,-1,-1,868697,-1,310749,230373,224439,-1,-1,74937,-1,-1,486231,-1,-1,-1,-1,-1,694690,146707,-1,-1,-1,550835,148953,-1,83843,-1,-1,707921,797421,-1,-1,77981,52391,438293,359489,-1,700871,-1,276479,293462,632901,-1,-1,-1,15025,871436,273943,742640,-1,564420,-1,-1,92161,-1,-1,10036,-1,-1,347827,979629,-1,452374,842934,-1,-1,-1,737684,-1,-1,930146,-1,204283,-1,-1,30109,-1,560281,-1,-1,-1,29081,694492,-1,282923,929329,-1,-1,-1,-1,-1,-1,-1,458997,904617,-1,374360,-1,806266,-1,271650,126235,-1,794,813897,854021,-1,775166,414338,227216,-1,402239,-1,886360,818377,-1,84068,50683,971598,-1,991075,-1,-1,561832,-1,734967,106495,-1,611370,422862,-1,-1,-1,212293,-1,-1,-1,-1,-1,429787,515899,790086,-1,-1,630573,-1,532881,978849,838403,-1,134690,-1,991201,29413,-1,-1,366476,-1,284388,464327,518358,574604,-1,-1,919429,-1,42092,-1,863544,-1,368893,-1,191065,432183,432812,-1,-1,472683,809172,-1,-1,-1,-1,543726,-1,16692,775261,455817,-1,-1,-1,-1,-1,-1,76540,-1,-1,626969,720569,-1,-1,918379,270785,184726,-1,-1,-1,836615,-1,947560,989001,-1,-1,-1,-1,44506,900528,-1,347071,824529,-1,883487,-1,-1,-1,-1,-1,-1,957959,267439,648195,267757,-1,-1,-1,-1,306183,831077,488839,774669,-1,-1,-1,947257,-1,764850,-1,-1,863636,763916,-1,753114,728042,709743,955693,309681,-1,796000,-1,-1,-1,-1,-1,981696,922869,-1,-1,-1,835717,-1,-1,-1,579731,425686,-1,710926,283291,-1,772069,-1,12666,-1,-1,-1,948571,-1,-1,112302,39963,-1,-1,-1,-1,774875,-1,-1,-1,-1,745948,-1,-1,-1,169296,702672,-1,-1,117048,940191,-1,530146,740917,-1,-1,-1,528177,31575,-1,-1,-1,289833,-1,-1,683318,-1,771049,548229,-1,657432,-1,784123,-1,767191,305958,979577,711201,33138,743930,-1,433355,958694,991810,627322,-1,821374,-1,640466,72867,327544,541213,250444,88066,436733,587412,692052,-1,299783,-1,-1,482166,494349,792466,757696,-1,739013,-1,-1,505515,949014,227887,-1,178423,-1,986658,-1,-1,592257,-1,-1,26688,-1,-1,788783,-1,-1,152452,-1,503393,-1,-1,486928,-1,-1,-1,-1,945666,-1,-1,-1,683728,894515,-1,-1,334087,-1,-1,723424,-1,686524,23615,-1,-1,485533,-1,258589,-1,911371,-1,-1,-1,-1,-1,698534,850741,-1,-1,357244,-1,-1,-1,-1,844427,-1,-1,-1,-1,135209,128876,697022,-1,-1,489367,286287,-1,777494,447722,797715,331295,-1,125505,110112,116771,901634,-1,804432,508735,-1,-1,818618,162558,-1,-1,-1,269927,-1,70384,474481,883368,-1,170095,-1,-1,-1,174066,810471,748118,-1,603686,751293,-1,-1,984123,-1,-1,957101,302525,791748,532925,-1,-1,-1,670924,479363,66068,925508,-1,13608,70184,377250,335755,456369,-1,-1,-1,325878,374799,-1,99941,-1,-1,-1,553047,-1,-1,-1,-1,-1,-1,-1,8138,175434,937477,529604,-1,690525,-1,397951,-1,581521,97045,101273,-1,872460,-1,-1,428248,-1,518375,-1,228778,-1,-1,-1,-1,-1,566721,157797,758162,550154,551883,-1,-1,-1,-1,992941,-1,725363,954535,418207,-1,-1,-1,291793,358096,706321,262739,-1,212204,113450,-1,846747,-1,977093,931898,-1,-1,502915,-1,-1,776965,601755,-1,-1,-1,-1,566154,855093,-1,233952,-1,-1,-1,-1,-1,-1,401355,-1,177825,611710,-1,6439,-1,-1,-1,-1,-1,838180,248109,467983,615544,691653,-1,-1,-1,302228,847646,-1,332051,-1,236471,-1,204899,-1,584875,410697,166645,142145,-1,-1,-1,118249,-1,795367,946068,-1,-1,-1,740733,288488,-1,887919,-1,-1,-1,-1,974133,-1,482497,-1,-1,-1,679312,-1,707961,375864,233527,124236,-1,-1,852398,-1,-1,-1,790439,-1,-1,876078,-1,-1,947954,-1,-1,205646,342216,332966,96457,-1,798958,277683,-1,115520,43304,-1,-1,-1,554581,480078,-1,-1,-1,627905,-1,-1,745282,-1,-1,-1,-1,-1,-1,-1,141161,-1,-1,275190,-1,-1,-1,-1,-1,-1,-1,-1,351938,-1,-1,398140,-1,-1,527693,260567,764512,105715,232744,287149,974818,198632,-1,-1,564415,-1,377514,413729,737908,-1,135432,481969,-1,787686,229861,833081,392071,156657,94966,550483,305246,-1,-1,-1,462179,-1,-1,249702,-1,826145,207029,-1,944700,-1,167597,-1,496384,923233,-1,-1,-1,-1,-1,370318,-1,-1,-1,-1,456984,663041,-1,-1,-1,-1,157424,977583,-1,372053,-1,350194,-1,-1,-1,-1,-1,-1,-1,566364,602008,844714,506199,-1,394685,-1,694611,128527,-1,539484,687037,382843,-1,-1,840380,988814,-1,393753,73175,83524,-1,-1,947775,647495,-1,639499,317468,-1,-1,-1,-1,666819,-1,997015,910489,-1,803399,787160,891738,-1,735199,-1,756870,-1,18559,682258,-1,-1,522115,-1,-1,-1,612211,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,152347,414236,61122,964365,-1,328954,-1,753179,320610,30810,-1,-1,-1,-1,318139,-1,845899,693513,-1,128414,-1,502343,-1,-1,-1,-1,-1,-1,-1,-1,-1,385953,-1,351418,1174,704853,689796,-1,945240,-1,595387,-1,275138,286110,4979,479413,-1,-1,673921,-1,361514,-1,135959,-1,-1,58707,-1,-1,-1,-1,157337,77992,-1,-1,342306,309678,-1,-1,-1,-1,-1,261891,840056,-1,-1,190352,53173,432266,513945,-1,-1,-1,899590,-1,-1,-1,-1,-1,576855,-1,386336,727559,768884,939085,-1,132338,-1,75965,996483,573932,174307,-1,613651,-1,332478,76285,375691,853787,601836,836039,48969,-1,-1,-1,857461,225756,248710,180484,181266,278473,-1,458548,-1,-1,690430,-1,-1,281808,-1,-1,271622,-1,56870,-1,-1,455268,-1,-1,-1,494497,272473,774651,-1,693359,985481,306417,-1,757418,407504,191307,-1,-1,226098,893290,-1,-1,367559,851929,-1,-1,741327,562560,-1,17277,-1,-1,-1,-1,-1,-1,-1,-1,-1,569295,-1,-1,-1,976274,1784,78346,-1,-1,108944,882297,-1,158779,720020,-1,179569,-1,-1,297573,903784,711507,-1,740228,-1,257103,-1,815113,-1,-1,56925,893525,172981,554759,-1,875995,912511,-1,384267,192262,-1,426485,-1,-1,-1,996056,401207,760999,663882,992385,-1,62653,-1,-1,827163,253921,515834,-1,997217,-1,-1,610313,694916,-1,-1,-1,-1,278244,-1,676808,768539,-1,-1,-1,-1,-1,716658,643120,91012,-1,-1,-1,15925,-1,-1,-1,686752,248491,-1,-1,-1,-1,-1,-1,566601,204598,535799,332602,94049,117702,-1,-1,-1,891430,327717,-1,250155,314000,-1,-1,893052,194056,225777,769967,-1,-1,-1,-1,651816,-1,848009,-1,-1,932690,409984,-1,461708,505699,303359,-1,-1,995785,348851,-1,-1,-1,973460,515456,695736,737910,-1,718304,973074,-1,-1,9357,991013,-1,-1,-1,64480,291975,431314,-1,22649,785451,-1,-1,-1,665099,-1,943739,246466,42147,793571,-1,267011,365435,-1,-1,189563,-1,-1,-1,610869,-1,-1,-1,702317,-1,242326,-1,881093,385259,-1,-1,-1,28742,-1,54869,-1,-1,836604,895682,860604,401043,-1,-1,-1,42390,-1,-1,905389,903125,-1,-1,-1,-1,-1,279870,-1,448071,-1,94843,-1,839881,-1,154099,-1,833059,-1,665765,-1,49085,-1,-1,-1,-1,-1,898174,-1,334452,-1,939821,-1,-1,-1,-1,-1,563375,405667,-1,839065,-1,-1,337392,990392,51014,452624,29325,-1,522298,-1,-1,-1,-1,473351,-1,-1,27712,-1,712729,-1,702749,282567,744027,466399,-1,-1,446101,-1,-1,251130,413833,-1,-1,-1,695659,797634,951068,244624,-1,808460,-1,-1,348730,-1,705533,-1,17233,102925,-1,-1,-1,886696,-1,274368,824262,483335,740100,417166,-1,588176,-1,232913,-1,703236,-1,-1,-1,535463,511054,308141,151983,782340,-1,-1,-1,585143,488326,-1,693896,-1,346305,427315,981720,-1,129362,539427,-1,-1,102406,-1,516466,416693,167171,-1,265136,914389,-1,-1,-1,-1,-1,687536,-1,-1,344815,505392,-1,-1,129713,-1,-1,610961,-1,583804,-1,-1,-1,-1,-1,-1,-1,551367,578831,797234,-1,-1,978025,689508,-1,964227,-1,-1,548336,668476,-1,542593,-1,-1,951162,143228,593527,656602,867913,-1,343758,174445,399259,605829,-1,837142,-1,-1,-1,119471,-1,280804,-1,-1,420864,547115,816436,495019,-1,-1,-1,-1,108339,726226,921691,-1,-1,287652,176667,133480,-1,860688,-1,-1,-1,-1,305930,-1,62659,-1,255627,261651,-1,-1,673258,-1,-1,96582,-1,832233,846009,278460,713248,-1,852354,741615,875683,88386,907881,-1,-1,97436,-1,998847,-1,412786,407703,-1,86248,-1,249123,847616,519941,102968,451840,-1,714854,142150,-1,-1,-1,-1,382368,-1,-1,-1,-1,-1,286807,631444,946791,-1,-1,-1,256009,-1,49487,-1,195973,-1,-1,-1,171125,247724,248270,880866,736743,303486,680735,-1,-1,-1,758021,551310,-1,318434,698195,932949,582760,-1,164696,-1,483371,203700,294426,-1,-1,-1,348479,346102,-1,-1,535288,995929,-1,66099,196966,-1,-1,-1,191678,464896,704350,-1,-1,-1,914766,170868,62308,607244,416000,-1,-1,986039,-1,991089,-1,-1,-1,-1,-1,183636,420223,826397,-1,689320,-1,87443,-1,-1,549676,-1,115538,-1,775247,533517,-1,216819,-1,-1,-1,410334,-1,-1,558268,848972,-1,797101,-1,182033,554280,-1,224385,-1,325462,944490,714350,-1,84120,635649,408829,-1,10431,847772,261090,-1,479188,390312,-1,984032,226292,499179,480895,733392,-1,795163,629641,-1,-1,728897,-1,-1,228443,-1,-1,-1,868356,2907,365383,-1,-1,210663,-1,-1,308561,-1,-1,702886,498415,-1,134376,705385,110017,-1,-1,222875,453516,577063,631267,173877,711223,273555,-1,-1,-1,177958,775154,379657,246059,-1,-1,-1,95818,119846,859452,-1,-1,-1,-1,692020,631422,-1,435580,767369,812656,168072,-1,-1,-1,850897,-1,683411,436124,-1,-1,120690,-1,762471,-1,-1,-1,416372,731337,-1,-1,-1,-1,-1,486544,-1,803512,477206,237913,-1,-1,875743,259515,208294,265132,208401,191539,-1,793331,939037,-1,-1,-1,556224,-1,899654,847365,-1,221852,-1,81978,199879,-1,630,83447,-1,-1,173023,771996,-1,-1,-1,198411,-1,-1,-1,-1,-1,-1,-1,-1,332585,453290,-1,-1,800600,-1,-1,-1,-1,-1,-1,-1,-1,508698,487872,-1,-1,-1,518500,-1,800599,712615,-1,-1,554782,-1,771540,181718,-1,698997,154568,706198,-1,539709,720427,807004,-1,238294,543204,7927,-1,463595,-1,-1,-1,-1,96405,79314,335628,245862,-1,562526,737591,-1,537023,-1,-1,-1,784717,-1,-1,-1,-1,107373,-1,-1,-1,246298,-1,192510,856339,-1,223702,-1,843838,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,521865,-1,-1,276458,31957,662070,518250,311168,-1,-1,-1,-1,-1,61123,34278,994702,805029,867026,135378,-1,70087,-1,-1,305238,726145,480979,256258,607316,-1,-1,290187,-1,610326,-1,-1,-1,887253,5867,726377,459216,-1,-1,56052,-1,-1,-1,-1,108343,-1,-1,462234,238038,-1,-1,422114,888405,-1,-1,812445,728346,718020,-1,161981,-1,203020,-1,271974,-1,167084,-1,-1,409358,593934,-1,-1,-1,932006,35350,-1,299140,208909,-1,638711,631940,-1,192322,128949,394090,533114,-1,-1,-1,-1,-1,-1,321848,-1,237292,704201,-1,-1,-1,728584,-1,67004,873264,-1,522296,475158,331325,-1,563502,475309,368750,250810,931704,-1,107649,449097,-1,540085,-1,-1,-1,-1,941199,-1,778304,-1,431625,787463,-1,66307,140036,311308,775022,-1,-1,511132,268647,-1,784830,393702,303920,-1,-1,957814,-1,-1,-1,-1,-1,-1,-1,44089,623815,-1,-1,778161,-1,116726,5720,-1,541529,380866,47960,-1,924786,-1,757651,257678,-1,545068,-1,-1,533753,764254,-1,28970,-1,-1,-1,-1,-1,-1,378503,-1,24836,-1,658139,-1,-1,-1,-1,85095,-1,-1,282887,-1,-1,-1,707726,-1,555922,-1,-1,825783,540189,-1,-1,-1,150678,-1,663535,191704,734556,-1,-1,640071,-1,893601,-1,386882,679105,-1,-1,-1,772776,-1,-1,995250,-1,-1,857306,149601,-1,79038,981350,-1,-1,-1,25123,-1,382850,144753,-1,355003,-1,81240,-1,667040,-1,555031,-1,-1,637929,400432,624299,36002,-1,-1,-1,-1,264531,947878,-1,-1,-1,-1,-1,-1,878002,-1,-1,-1,941075,52951,754844,-1,749970,-1,180341,4034,-1,-1,-1,-1,990415,590501,-1,217115,293787,840813,711303,185209,-1,-1,-1,-1,-1,-1,639653,-1,909605,769020,481278,-1,877524,-1,-1,342762,-1,-1,284158,-1,-1,787552,965009,-1,-1,442218,-1,220375,124044,-1,338926,-1,-1,720921,-1,21734,-1,-1,-1,889022,725198,-1,-1,-1,56806,450393,-1,-1,-1,852027,-1,-1,456621,-1,286453,629748,472219,135687,-1,-1,-1,225060,403830,209259,-1,-1,336517,570250,976778,-1,80747,803542,177433,-1,-1,910697,-1,-1,-1,-1,145297,-1,-1,-1,871767,-1,-1,230337,-1,-1,-1,-1,-1,487384,484971,605531,-1,489595,-1,-1,-1,-1,-1,747547,438076,39526,763585,296652,-1,-1,413535,429706,964250,859453,198608,821131,73954,613692,-1,-1,-1,-1,-1,290687,-1,-1,974001,916098,-1,202535,-1,-1,950265,239452,150909,-1,351486,462992,641397,-1,-1,-1,-1,-1,-1,-1,-1,-1,871362,-1,563281,581620,824550,-1,201335,620893,-1,-1,-1,162993,162679,811606,-1,-1,322348,280858,-1,-1,-1,-1,318558,328909,459234,719689,38479,-1,-1,-1,-1,391711,106269,-1,341960,33580,-1,518882,137986,-1,593881,189753,470974,-1,-1,878604,698903,137073,-1,-1,-1,496162,-1,621062,804051,-1,470821,771012,-1,-1,-1,-1,825432,862318,760173,934064,-1,157631,-1,-1,-1,399618,561167,-1,-1,-1,-1,-1,-1,301144,-1,-1,304325,-1,-1,-1,157787,-1,-1,-1,-1,771574,-1,-1,353054,708689,-1,-1,284668,-1,662988,495684,39432,-1,-1,662080,376692,214046,640043,-1,-1,555262,897996,62611,-1,904613,709685,-1,958004,-1,779989,605315,622483,-1,-1,-1,980847,583207,-1,-1,-1,859415,-1,984399,221562,75601,-1,671154,304939,502615,274426,-1,-1,-1,-1,693512,605889,330514,378257,247355,960783,-1,-1,633697,-1,-1,578205,431754,-1,730327,-1,877074,694681,294608,901122,71218,585850,911316,-1,-1,-1,451216,488240,783883,-1,-1,-1,495115,-1,-1,-1,313143,-1,85330,788606,481495,-1,-1,408074,159348,275133,-1,596411,284317,532756,-1,561388,790646,850118,-1,63143,-1,-1,-1,296215,-1,-1,-1,488480,549825,-1,987817,-1,551490,-1,-1,-1,-1,-1,944176,-1,503956,425389,329922,-1,-1,188913,-1,-1,54777,-1,-1,-1,321113,-1,-1,-1,453343,776448,-1,-1,438442,218592,-1,-1,-1,505117,188333,79551,-1,371514,-1,929388,57037,511401,811736,-1,505547,-1,-1,-1,-1,403663,-1,266680,-1,815850,690925,-1,401380,-1,-1,-1,-1,-1,149463,-1,-1,985403,-1,874045,561050,941167,743400,932984,-1,685872,355724,400243,960061,-1,-1,13967,-1,489393,419836,767140,-1,-1,-1,-1,542461,-1,-1,793770,844272,58870,-1,379300,398973,-1,-1,305241,-1,-1,-1,26111,666923,582019,127916,-1,-1,153087,-1,77917,-1,-1,852520,-1,-1,647987,-1,-1,-1,-1,744115,-1,120818,323092,-1,-1,694359,-1,514764,-1,-1,-1,668340,-1,-1,700283,987304,401598,-1,54836,-1,795514,-1,259766,663398,-1,-1,790428,591522,-1,738919,721150,25345,108092,-1,978426,-1,187871,687353,-1,154060,-1,349623,638213,845316,556122,-1,633715,891290,268001,-1,-1,-1,-1,934000,-1,667661,-1,-1,-1,50094,104546,544913,-1,518095,287708,-1,584544,636364,-1,631840,-1,57824,-1,-1,-1,897157,-1,112664,-1,367433,-1,139258,-1,905308,-1,612968,-1,-1,727145,270111,-1,-1,-1,256213,121384,-1,-1,191447,-1,-1,-1,60489,388277,853682,819987,365536,836462,-1,-1,505243,-1,-1,-1,-1,-1,714440,499285,755224,-1,-1,850188,265755,-1,60345,-1,-1,22339,-1,53589,-1,-1,-1,-1,822353,-1,-1,141254,-1,300524,400844,59367,-1,-1,665,210654,360498,611822,-1,473259,-1,440845,-1,-1,238958,550951,-1,27841,195075,-1,-1,597235,701267,574452,-1,-1,-1,947146,422154,-1,-1,824709,-1,408567,99274,-1,-1,-1,-1,240489,906030,-1,532884,884618,-1,680573,466649,-1,723571,-1,-1,-1,-1,849719,-1,764167,-1,140490,-1,-1,-1,105006,-1,-1,-1,368424,669320,-1,-1,-1,-1,400593,-1,521228,430237,797708,110062,941382,464900,-1,-1,753262,-1,333526,-1,-1,-1,-1,669633,455865,-1,-1,586835,31038,385466,51572,923022,703759,949856,-1,195153,943643,106270,378853,-1,-1,-1,457847,870159,166886,-1,309889,349947,24533,-1,186651,-1,390995,-1,741872,64204,-1,578454,-1,-1,-1,768906,644315,999264,156621,-1,358445,-1,-1,-1,-1,-1,-1,567037,546922,954180,-1,736948,-1,-1,-1,996440,-1,9793,-1,-1,-1,-1,-1,668784,-1,762972,-1,702305,-1,415584,-1,130372,-1,-1,193882,862137,-1,927347,355624,-1,-1,831629,-1,560045,-1,-1,738956,225687,-1,-1,-1,679203,968393,-1,-1,749720,998226,-1,720588,-1,55745,950936,-1,683403,888484,922702,-1,897867,943923,608938,-1,-1,221784,-1,-1,-1,-1,-1,-1,-1,810902,858790,-1,-1,-1,812426,-1,749147,-1,-1,-1,-1,-1,-1,869022,-1,754021,-1,-1,393985,-1,-1,-1,-1,89212,-1,533725,203880,-1,-1,-1,678427,74319,-1,795272,785914,538957,992720,-1,-1,-1,-1,80688,820672,-1,933748,-1,668442,742415,807737,-1,331321,-1,810908,-1,-1,-1,-1,-1,-1,154382,-1,-1,162039,-1,-1,-1,804974,-1,439945,257957,899478,-1,529363,-1,-1,-1,-1,195471,138429,-1,846593,946609,861816,-1,-1,-1,-1,565731,-1,375467,499039,262883,-1,-1,-1,555903,801913,-1,283592,791090,62040,774203,281576,-1,648301,274546,352701,204981,-1,486886,-1,-1,233718,-1,306891,673505,996620,56689,291018,-1,620029,-1,735831,-1,-1,-1,682301,798521,-1,80036,-1,-1,-1,988758,-1,-1,58839,-1,-1,-1,473928,-1,296830,-1,1773,906721,-1,473472,900442,110877,-1,-1,390598,-1,-1,333652,645590,-1,-1,-1,-1,-1,-1,-1,-1,-1,942729,-1,537164,-1,-1,-1,288463,-1,842452,-1,520786,-1,-1,-1,553255,264080,-1,760957,292768,-1,-1,339193,781112,70300,501677,581084,620987,-1,-1,-1,510781,907191,-1,939941,-1,172959,-1,882686,-1,131625,-1,647770,120028,-1,-1,123208,510302,-1,-1,346005,-1,429851,636552,704480,-1,-1,469929,-1,-1,-1,-1,682773,-1,244217,428329,117544,4674,-1,494983,-1,-1,435168,-1,-1,-1,-1,308781,515543,-1,-1,652429,793399,-1,-1,-1,667252,635940,-1,96223,-1,-1,-1,279139,34232,47293,-1,971191,-1,150935,-1,892411,-1,404696,-1,921478,940928,558621,363117,916973,703536,-1,-1,408412,742043,-1,968850,673249,-1,226723,475095,-1,-1,392798,-1,-1,-1,224000,-1,-1,180679,-1,219967,974917,-1,605499,409712,39582,640372,-1,-1,528800,441979,-1,-1,-1,-1,-1,303832,-1,823817,-1,-1,451419,147519,-1,494086,-1,904586,631235,72976,-1,-1,-1,-1,-1,227133,-1,-1,564109,-1,-1,-1,-1,138361,-1,-1,-1,-1,226339,-1,13829,772565,-1,163984,125171,-1,312107,-1,281175,-1,-1,-1,282561,-1,503528,356959,572603,738162,904224,-1,157506,268155,-1,-1,-1,-1,339815,724435,-1,-1,982031,410137,633352,782811,612245,-1,-1,790459,405468,-1,840805,-1,-1,322841,670688,455192,578553,151633,498336,-1,724661,-1,408016,976238,-1,-1,502712,537438,-1,-1,-1,-1,-1,-1,-1,-1,-1,855545,956954,78781,572203,-1,509095,301637,-1,-1,339167,618111,749322,495348,-1,-1,750489,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,385073,-1,-1,36476,566318,121052,-1,387052,404192,231250,878925,-1,193465,696017,723672,-1,-1,-1,203013,-1,-1,659408,647821,931922,-1,525317,-1,-1,-1,445445,-1,-1,-1,-1,431386,588815,-1,363591,-1,589669,-1,-1,930516,-1,115616,-1,654181,-1,636731,-1,-1,-1,111362,487429,-1,-1,115336,475337,-1,-1,-1,-1,-1,-1,394360,-1,-1,-1,-1,-1,-1,912915,652624,548149,193271,-1,-1,408112,519054,-1,-1,299039,-1,600894,-1,-1,-1,307030,816991,581132,536552,766250,735261,514971,204169,-1,347492,-1,212244,314730,-1,342381,609226,177440,-1,427255,417827,593612,769031,-1,-1,-1,-1,883749,-1,329293,-1,-1,152749,508091,666800,-1,-1,-1,667254,-1,905895,307611,598442,479293,647022,-1,721604,-1,-1,936286,-1,969003,392250,-1,-1,-1,482425,-1,-1,-1,-1,631301,-1,421249,-1,39938,566155,90969,542723,317375,229160,452563,-1,-1,-1,843473,319597,921253,-1,460865,-1,-1,-1,437691,-1,713742,-1,72580,-1,-1,-1,594565,-1,969653,989450,-1,-1,-1,-1,-1,-1,-1,418061,-1,-1,638706,628598,-1,-1,62676,74659,422792,656356,-1,733742,-1,-1,-1,-1,147006,-1,-1,528460,416917,385730,377001,285924,488382,83221,231431,796107,233993,-1,830022,-1,-1,-1,469128,-1,603019,524377,686429,-1,840100,28534,125784,959163,65939,340285,-1,414471,-1,-1,-1,548252,-1,-1,-1,81563,-1,219040,381644,-1,-1,-1,-1,936213,-1,-1,-1,-1,-1,126418,-1,-1,555026,-1,-1,-1,-1,736376,432304,-1,733872,-1,8652,203636,765087,309779,144537,-1,-1,11834,-1,355472,162680,570291,798321,298727,-1,314082,739782,733275,623631,230575,976679,-1,-1,177273,-1,494022,534817,221894,-1,-1,755503,-1,-1,267407,794519,400597,-1,299186,-1,-1,-1,-1,-1,332271,296165,437106,-1,-1,-1,763512,-1,-1,-1,-1,-1,365612,655214,-1,-1,-1,532121,997362,822621,708897,262002,-1,-1,-1,461844,343799,-1,136507,707498,258918,-1,257776,-1,365060,-1,777707,-1,-1,-1,-1,-1,447490,881814,492942,366938,869999,-1,898831,-1,796929,-1,689355,-1,275720,-1,-1,667633,714473,-1,-1,878455,38288,-1,288305,-1,231619,-1,562972,-1,341227,28228,94698,-1,297582,-1,-1,634321,-1,-1,-1,-1,796112,499098,-1,767756,45302,476835,595222,321841,-1,787549,-1,-1,-1,269221,399920,-1,-1,605915,-1,-1,-1,522450,587468,375231,6192,820412,-1,-1,-1,381073,632354,376268,-1,-1,515376,-1,-1,709646,90635,368347,-1,-1,908649,619596,-1,660272,-1,-1,-1,225042,-1,-1,-1,-1,-1,-1,422230,987179,728186,-1,-1,-1,347086,449656,539027,851132,-1,-1,701637,-1,104356,-1,572506,-1,-1,-1,322653,785892,879241,185341,764587,-1,-1,977515,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,332517,845560,-1,387457,153128,335715,-1,253849,-1,-1,-1,578828,-1,-1,615830,25145,-1,-1,-1,-1,-1,45147,195445,-1,346923,460884,-1,791124,-1,-1,9247,133093,-1,454184,121289,-1,744843,-1,-1,241592,319174,-1,-1,223323,-1,706580,213643,-1,8339,-1,-1,899811,-1,-1,800813,637747,498839,546944,-1,865452,-1,-1,-1,572856,52476,113162,-1,638070,-1,-1,-1,919672,-1,653911,-1,-1,859993,-1,937884,-1,70315,-1,-1,410672,-1,946052,-1,-1,-1,-1,-1,-1,255674,249724,-1,-1,267099,-1,-1,-1,644335,-1,-1,-1,-1,107928,-1,-1,364311,-1,469777,-1,-1,-1,116383,-1,953195,-1,270844,-1,953686,233182,-1,431935,979584,-1,-1,261689,-1,328122,-1,212966,-1,986581,-1,663575,-1,70963,438710,338396,-1,360364,-1,365298,-1,772343,-1,-1,920552,891233,-1,-1,955532,43369,128739,-1,-1,-1,803646,264210,407541,911260,163114,745863,249763,-1,546798,171646,-1,598270,424749,5812,934143,-1,-1,380681,-1,-1,-1,765036,887642,595073,-1,-1,669493,969572,754833,-1,440997,119928,364176,576126,-1,-1,-1,-1,-1,260014,771447,850086,626011,-1,-1,-1,-1,-1,-1,-1,946593,352469,436142,-1,-1,558257,64390,903965,702431,-1,474765,854334,92681,-1,-1,-1,80772,-1,231268,454038,229259,-1,-1,-1,634106,36254,404879,-1,-1,-1,-1,-1,-1,-1,-1,-1,467834,562142,-1,418268,-1,-1,-1,360957,615182,-1,-1,866488,-1,-1,162573,580910,-1,-1,-1,667756,296201,-1,-1,-1,515576,-1,-1,711650,536731,-1,-1,102336,438394,-1,476908,172111,632238,114133,886062,133234,-1,411079,127926,-1,-1,-1,462549,871352,-1,-1,362984,490318,-1,737532,530379,-1,-1,776660,799978,-1,86334,-1,-1,680797,590405,-1,-1,-1,-1,929615,-1,-1,-1,-1,224169,64994,-1,75369,790146,-1,417781,-1,-1,179934,275448,-1,357285,566919,485121,141529,929771,-1,-1,904713,324733,-1,-1,-1,-1,-1,8378,184546,-1,-1,-1,-1,853804,-1,-1,-1,-1,159299,712906,149186,-1,-1,-1,542760,-1,939778,803918,-1,942435,-1,97790,947950,-1,-1,-1,-1,346610,-1,-1,-1,-1,-1,-1,936713,916402,688086,-1,509816,904672,-1,-1,-1,-1,-1,820477,-1,-1,-1,-1,430873,-1,820349,715301,496542,-1,715076,-1,848969,-1,-1,-1,-1,520605,9387,-1,516518,13084,438707,330718,724324,-1,444762,202574,113710,-1,525793,62646,136154,559223,-1,-1,787162,805207,-1,445135,-1,753129,-1,-1,-1,886355,-1,12116,669859,-1,134769,-1,494990,943247,-1,591450,-1,-1,-1,976726,-1,281589,-1,155464,932851,776397,656945,-1,-1,-1,914207,-1,547984,337238,-1,692858,598640,-1,-1,873201,650408,9511,502899,-1,594082,-1,163906,619865,-1,-1,473084,375037,-1,-1,587038,-1,-1,470131,-1,-1,948293,-1,-1,145175,673353,656603,181895,-1,-1,-1,-1,999441,121905,-1,-1,-1,430346,-1,577299,924405,584609,913802,-1,295669,-1,152020,-1,805826,-1,567637,-1,124757,240435,573197,923329,-1,829714,-1,-1,737624,-1,-1,649977,836366,-1,-1,734265,124411,407002,-1,-1,432687,-1,77409,944733,-1,-1,-1,-1,122136,-1,722019,-1,-1,740944,956166,756034,-1,-1,368168,164517,-1,146623,-1,-1,-1,-1,-1,506063,-1,359367,-1,-1,-1,698697,-1,-1,-1,919213,506245,-1,703153,-1,-1,871760,572960,-1,600305,-1,-1,-1,161700,927308,571125,770733,-1,-1,-1,463202,984858,250536,999143,-1,-1,321566,557270,891350,-1,155829,759398,-1,-1,732785,142626,158746,-1,175048,121665,508465,-1,-1,86322,703114,349756,-1,-1,-1,269699,-1,-1,764928,331492,684802,-1,-1,-1,-1,-1,-1,-1,318753,-1,-1,-1,-1,-1,810771,-1,286761,-1,-1,-1,720382,-1,149115,674110,-1,-1,9047,184903,913916,837493,-1,-1,-1,-1,876222,245697,-1,161687,-1,-1,226282,906887,500406,997402,-1,132922,980191,515564,157800,-1,-1,69266,289580,-1,-1,965786,377780,396652,-1,-1,-1,-1,523768,-1,951687,306676,197800,-1,358213,332154,-1,-1,-1,303209,190911,96581,755252,704457,-1,-1,717604,193925,243473,-1,-1,82535,735321,161126,-1,631413,488195,153452,-1,204241,571018,-1,-1,389910,-1,147624,-1,-1,573131,-1,835397,197176,-1,-1,-1,255556,171756,493901,807739,730149,-1,223255,-1,-1,134763,303520,-1,695251,-1,-1,-1,478067,-1,-1,367875,-1,202956,-1,794622,543685,619891,571148,-1,171779,-1,556772,-1,-1,-1,811340,532700,177661,641604,709073,979543,322201,310103,-1,-1,858961,-1,73042,-1,357193,-1,-1,-1,224287,269871,262878,-1,142803,410375,-1,323591,244559,973601,-1,377813,-1,-1,-1,-1,475772,-1,-1,-1,-1,38943,-1,722230,-1,-1,-1,-1,686203,-1,342223,64592,-1,-1,-1,908227,133450,708571,966164,541002,842542,16105,130480,-1,128232,-1,88267,-1,-1,234586,571016,388932,828126,-1,-1,-1,-1,445042,367355,-1,962558,-1,-1,-1,968674,-1,-1,742812,148208,-1,-1,-1,824596,494709,-1,165678,59919,-1,-1,-1,73754,-1,-1,-1,959750,437351,-1,-1,-1,114802,731707,124268,47481,-1,363374,-1,896890,28366,823361,-1,-1,-1,-1,-1,640087,-1,932243,-1,172341,759018,738614,-1,-1,-1,-1,226340,-1,-1,-1,411495,-1,-1,838797,-1,106283,257187,-1,280394,-1,-1,512953,764716,925668,993689,-1,241568,-1,648091,907391,-1,868231,824600,282202,648321,326004,-1,271490,-1,-1,102939,263413,24083,831458,-1,-1,-1,182182,887851,-1,864125,-1,478072,-1,-1,-1,351627,-1,271564,-1,-1,-1,913846,-1,386439,671889,-1,-1,-1,-1,422441,136561,-1,-1,-1,517927,-1,-1,870799,761203,-1,-1,-1,932159,-1,217442,-1,-1,795260,-1,621348,710750,566663,-1,467947,396908,101072,430004,-1,-1,893470,706843,368857,-1,-1,-1,-1,170593,720442,-1,-1,743948,481053,-1,-1,610318,337168,736522,379362,-1,-1,883720,-1,-1,753847,7596,-1,991227,837194,-1,982275,979213,417824,785631,56138,-1,557066,-1,472455,-1,-1,582824,-1,82783,883872,-1,914511,-1,-1,-1,-1,-1,-1,160703,590844,-1,-1,-1,-1,-1,-1,-1,-1,460434,260974,189375,-1,-1,709426,389877,168210,471764,395300,905631,137336,-1,-1,379467,-1,582499,642814,198355,324769,34822,-1,-1,634317,-1,-1,83437,-1,-1,900862,-1,315919,360238,-1,-1,-1,-1,841662,25579,851462,-1,-1,177168,-1,-1,615795,664329,-1,705435,-1,-1,-1,26734,-1,-1,829096,490768,-1,-1,729775,-1,146232,535002,755095,-1,-1,-1,-1,862015,-1,-1,-1,641413,597448,-1,-1,-1,729557,-1,225099,-1,19647,506170,823329,613990,333636,164889,76752,834191,444169,-1,671248,-1,971264,681171,-1,340151,-1,113410,-1,628984,827152,314408,884612,427743,-1,-1,-1,-1,138508,822216,-1,618175,713320,-1,256288,-1,90992,682457,-1,590066,372556,179440,970824,467787,-1,53031,693271,-1,-1,825121,-1,-1,21774,-1,-1,-1,61110,-1,-1,-1,-1,-1,833246,833029,603523,26976,-1,-1,-1,536103,-1,-1,-1,-1,-1,20194,302062,-1,797922,-1,-1,530745,-1,465422,31309,-1,-1,-1,715832,-1,-1,-1,675623,-1,923496,964671,960032,195177,-1,882098,-1,112596,226867,-1,71705,213080,754708,-1,-1,-1,-1,-1,-1,-1,45210,-1,383921,-1,-1,102230,-1,-1,-1,703295,757822,817589,669517,113788,479743,511158,518922,-1,187495,-1,-1,-1,764924,-1,-1,428016,-1,822867,-1,-1,511692,-1,-1,-1,379088,-1,76858,696845,-1,194816,-1,814821,-1,765687,588861,689960,294307,-1,-1,-1,-1,-1,686390,-1,-1,-1,244918,312142,540752,-1,-1,-1,-1,19836,667061,-1,-1,933497,-1,-1,-1,533735,-1,-1,-1,911910,268180,-1,782560,751955,-1,-1,945556,-1,-1,147552,345218,228380,745768,954422,-1,-1,357853,193624,-1,-1,-1,-1,499763,-1,-1,266027,-1,341043,-1,228487,111910,-1,996142,-1,-1,128349,-1,139874,534613,-1,-1,-1,843545,-1,114843,439613,754912,-1,-1,-1,-1,-1,89333,-1,79794,773099,-1,540637,518834,609986,271303,-1,472771,572213,-1,286495,-1,-1,-1,954283,-1,-1,-1,-1,-1,-1,77675,-1,220698,-1,752,566447,-1,-1,943388,545544,-1,712420,860096,-1,-1,403773,873167,-1,-1,270589,375320,-1,362403,937048,-1,-1,701303,-1,-1,-1,-1,391571,841638,575681,-1,-1,132297,-1,384462,-1,279543,-1,336855,460206,-1,-1,-1,300270,80978,-1,447152,-1,355977,-1,-1,752627,29111,337313,122190,-1,19329,-1,478172,-1,-1,118716,346308,13534,-1,594476,-1,905431,-1,629207,149053,-1,-1,43721,-1,625918,-1,-1,-1,-1,-1,-1,139525,-1,-1,476897,349920,972468,-1,346886,355787,-1,-1,-1,133151,402468,980662,101612,880141,-1,933632,-1,52205,199913,-1,-1,-1,254627,747863,439032,522936,-1,-1,-1,502049,-1,998147,-1,943981,-1,-1,-1,856451,639757,737538,276560,-1,-1,-1,-1,280847,186064,303923,469023,-1,-1,-1,657950,487227,-1,393248,110872,-1,148377,-1,630654,714786,-1,-1,171229,-1,481461,-1,239551,-1,-1,460349,682503,-1,601010,246223,-1,256314,229915,172203,596050,-1,114576,-1,210235,-1,-1,-1,110171,-1,724672,594764,20680,100539,-1,442855,-1,583111,86634,949360,-1,167356,221343,-1,-1,858265,-1,174966,784388,-1,-1,34618,-1,-1,-1,-1,811714,-1,254130,900389,84687,-1,741920,-1,56523,-1,666954,-1,-1,61084,-1,-1,760365,-1,281437,-1,-1,812297,-1,108314,-1,868772,367029,-1,-1,159800,-1,-1,173302,440751,786750,-1,492002,-1,-1,-1,343729,634494,-1,268182,90130,-1,-1,566715,-1,84609,585310,84725,653792,-1,-1,574771,669522,246108,-1,-1,437085,-1,-1,-1,388662,-1,244796,863965,429328,57507,309894,701914,837683,172779,-1,849731,50268,-1,197881,-1,327748,290688,-1,54386,2993,-1,402580,-1,-1,651334,-1,595310,-1,596262,-1,908055,299361,-1,-1,50170,-1,-1,-1,-1,731236,744895,-1,924919,662967,671055,-1,-1,-1,-1,-1,-1,-1,959420,-1,916177,-1,-1,-1,221445,-1,-1,-1,439701,436141,-1,-1,528266,-1,-1,690749,-1,-1,267253,-1,-1,-1,-1,50460,-1,-1,669849,-1,606985,446424,-1,-1,945740,902430,380014,123562,311110,-1,741698,765074,-1,957226,-1,392585,-1,-1,300472,-1,-1,-1,-1,816016,679886,-1,44075,523563,-1,377529,582439,467117,-1,-1,-1,-1,567558,-1,-1,88205,-1,-1,889342,-1,-1,700282,-1,965051,-1,-1,25179,-1,622979,986527,693373,-1,346475,990326,-1,666144,-1,196213,989254,85461,494344,628342,847789,630031,746066,-1,403320,-1,772466,627131,-1,274130,19902,854866,467344,887684,381226,741669,-1,-1,71804,-1,272387,695193,921285,-1,825543,140720,818573,589182,732725,345688,-1,-1,972729,435239,-1,394922,-1,-1,357077,-1,27929,942731,699483,161549,870246,-1,-1,173739,-1,983794,-1,231388,530883,-1,-1,125217,203092,-1,775973,664975,-1,784533,682021,541436,548955,385692,834872,-1,-1,299700,712441,345749,-1,827018,69030,-1,220689,-1,1207,-1,-1,443542,394763,924941,774816,-1,-1,-1,-1,606138,-1,-1,539498,-1,-1,-1,243959,78579,555889,-1,-1,-1,-1,595739,544217,-1,-1,752979,875399,335451,-1,-1,-1,-1,-1,-1,62322,-1,471243,471732,-1,-1,859480,917953,-1,820457,-1,2900,-1,-1,788877,-1,-1,253103,852052,-1,203714,-1,763696,391196,-1,-1,822945,-1,-1,-1,-1,-1,-1,193108,-1,342905,963053,-1,-1,607705,-1,268776,-1,311644,523108,-1,788060,-1,-1,-1,135770,297139,-1,16598,800278,-1,-1,807415,260642,85032,-1,-1,877878,-1,878501,-1,-1,-1,851926,-1,-1,549167,-1,-1,-1,-1,-1,247214,-1,811880,16331,154076,782320,766819,723861,602976,-1,407116,851150,-1,-1,334936,-1,588233,512233,-1,771701,353436,60039,-1,973461,176496,187991,714331,-1,694049,-1,-1,171198,-1,151108,574416,454919,421189,-1,-1,-1,-1,708680,409496,-1,-1,-1,627892,-1,-1,238008,738192,643045,-1,100161,940120,32960,78877,-1,818565,256642,-1,-1,-1,-1,559023,933694,121014,-1,440194,-1,626319,-1,947613,-1,491588,-1,-1,612674,-1,-1,235370,122254,176204,-1,393309,494778,569003,-1,223202,-1,801993,965865,865123,-1,307564,250807,338658,137744,294925,-1,288575,717495,-1,-1,-1,639912,-1,-1,514554,-1,-1,-1,27059,305063,344830,60349,786301,273663,305585,-1,-1,-1,-1,-1,574793,-1,744177,681242,132138,-1,-1,-1,-1,31503,-1,626966,780438,-1,621165,50363,245125,156046,-1,-1,-1,275144,-1,869464,-1,910321,-1,626694,24982,885713,693186,-1,630179,394675,-1,-1,811956,645328,735819,203786,-1,866577,-1,-1,947158,89623,-1,820783,-1,-1,-1,-1,303966,-1,-1,6513,-1,402810,304806,355975,873752,-1,736767,-1,423814,-1,160925,919061,576234,-1,462020,445200,-1,-1,-1,646927,570895,-1,-1,-1,260172,-1,-1,-1,710547,-1,935967,-1,-1,-1,-1,27134,180989,655622,-1,52745,820319,-1,-1,-1,180527,-1,667433,-1,159921,459015,48061,592869,-1,316374,-1,479301,-1,755659,288395,-1,-1,-1,640751,958444,-1,-1,924556,-1,-1,-1,310306,-1,27528,928640,-1,413432,111402,-1,88081,-1,-1,-1,96541,13120,-1,197855,389481,162878,-1,639656,732429,249066,98672,322029,890359,937112,726785,-1,-1,323965,-1,366696,472606,621285,-1,321273,-1,442076,83491,779749,722240,759796,121188,-1,-1,870857,887512,-1,811303,-1,-1,-1,267517,328437,-1,-1,-1,262546,-1,247830,872147,341741,-1,-1,-1,-1,89255,-1,-1,139454,458415,-1,-1,662300,573864,-1,569533,-1,492788,859282,-1,-1,-1,-1,384084,547836,-1,-1,-1,175367,220700,-1,523139,-1,-1,-1,-1,-1,-1,-1,-1,-1,646749,405544,890665,-1,460948,634753,-1,797637,551444,409028,-1,-1,-1,-1,-1,446820,-1,638527,-1,936990,721244,779409,749138,455855,-1,542567,-1,-1,412645,942348,-1,-1,886962,988579,73483,227426,920460,-1,-1,172045,-1,-1,-1,998187,235903,-1,-1,810882,367892,48592,-1,-1,-1,142777,-1,563433,-1,398216,758303,-1,-1,-1,170011,76794,252488,762709,651183,-1,731279,-1,-1,-1,-1,-1,-1,-1,-1,204750,176632,615782,-1,-1,-1,220149,810673,505062,239905,463490,-1,-1,-1,-1,459651,-1,238109,-1,265332,-1,-1,-1,-1,329712,-1,-1,-1,590473,-1,898537,541550,-1,-1,776977,772438,-1,-1,-1,-1,-1,-1,108483,643440,-1,-1,-1,657031,-1,-1,356710,-1,-1,-1,223473,513098,138608,938066,377261,-1,-1,959796,-1,939477,328247,-1,-1,-1,-1,-1,-1,-1,-1,5307,939588,-1,-1,-1,88522,771710,-1,603388,908302,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,651780,962168,-1,-1,122937,-1,-1,829216,-1,-1,453327,-1,-1,-1,337942,347783,-1,-1,-1,-1,386503,684677,-1,-1,674735,64196,577362,-1,-1,-1,-1,-1,-1,-1,694171,-1,449080,614669,297755,-1,-1,-1,438847,187460,-1,275826,-1,-1,-1,326822,-1,633615,-1,3592,-1,69698,-1,586336,-1,337691,697858,-1,-1,-1,-1,-1,116808,821246,-1,915758,287542,-1,335931,916135,674646,538394,8970,894127,-1,-1,958412,291942,489411,-1,132888,-1,-1,404915,348536,247328,405747,212960,778066,392462,398882,106046,576893,-1,525605,683378,851914,856204,-1,65782,147832,-1,-1,-1,658293,-1,-1,640416,733980,801774,-1,-1,-1,432400,-1,-1,-1,-1,-1,-1,-1,400757,-1,782200,-1,-1,316284,-1,-1,585420,486322,-1,-1,799165,978284,920050,-1,-1,599354,366215,371693,413837,-1,291625,435753,586289,734466,648826,-1,84976,49492,538471,79363,683649,-1,-1,902038,-1,-1,-1,-1,344557,-1,344177,-1,622383,651841,-1,-1,-1,-1,602770,88771,244569,920128,627955,-1,755009,612782,864423,3988,-1,818630,741035,622679,-1,14018,489546,-1,205345,534097,-1,-1,943317,-1,-1,891035,988102,-1,158648,-1,-1,-1,-1,-1,-1,-1,-1,-1,436014,-1,-1,719611,-1,-1,-1,99901,80441,477021,-1,175487,-1,338973,632537,-1,701375,837199,882772,606746,508188,446377,-1,187210,844781,749698,712079,-1,324023,-1,-1,-1,-1,-1,358295,-1,-1,289744,-1,739826,-1,952323,849299,-1,101304,-1,-1,-1,557201,-1,-1,409362,224056,815654,-1,-1,-1,57332,711025,-1,-1,-1,-1,-1,92381,227200,999211,203497,-1,-1,861961,153326,341626,501304,823139,-1,29394,-1,-1,-1,-1,-1,591328,-1,775827,426759,-1,-1,462216,588644,-1,-1,683917,-1,410379,-1,792756,-1,-1,333798,-1,811778,-1,-1,-1,-1,290522,-1,32098,-1,957147,850129,-1,954248,-1,-1,-1,-1,650971,274209,891812,-1,-1,-1,424366,-1,-1,-1,-1,621725,-1,-1,510452,746572,-1,-1,608710,-1,-1,-1,68612,-1,-1,-1,845604,277197,524910,570638,96002,-1,547898,348622,154427,-1,-1,851974,839408,155918,-1,-1,704158,-1,-1,686490,644245,251154,-1,309488,-1,685012,-1,632112,-1,510365,-1,-1,546881,513712,236722,948070,816572,317196,530926,-1,-1,597532,-1,-1,569287,726772,790863,111163,868803,-1,-1,77792,978438,-1,-1,327865,-1,898881,446991,500033,171665,589253,-1,-1,759915,92314,-1,615045,-1,-1,-1,683284,118959,-1,-1,839176,466620,-1,49649,-1,436969,846949,190209,532207,-1,126129,-1,362170,432491,-1,831507,-1,621239,-1,4717,429075,197022,582480,-1,-1,-1,593280,247966,566379,489669,-1,838747,726289,826532,-1,161356,793503,-1,84708,879841,-1,216388,805271,-1,292919,-1,-1,601969,-1,493993,22523,-1,478121,-1,-1,146717,-1,-1,-1,-1,-1,144287,-1,-1,-1,231914,-1,360160,-1,-1,-1,837525,-1,-1,-1,-1,-1,92151,-1,-1,-1,313246,-1,18625,911482,989056,15836,-1,-1,56953,710455,-1,71689,-1,226586,-1,-1,-1,2251,200461,991630,-1,-1,967387,662358,-1,-1,598268,859019,-1,708217,-1,-1,-1,178455,-1,-1,-1,865891,-1,-1,-1,-1,-1,-1,756680,-1,-1,58515,-1,-1,334606,926003,-1,123704,717517,-1,642479,-1,549385,920215,-1,295590,567336,-1,214694,-1,-1,714974,-1,-1,794004,453506,395241,956787,491825,265615,-1,607207,-1,156298,-1,280041,125764,-1,224018,861658,-1,590452,-1,-1,58719,-1,401714,-1,-1,-1,151588,281317,378771,119313,581674,-1,313726,744908,526284,384347,-1,627719,587640,993872,417466,-1,216281,823698,-1,502976,-1,-1,16800,231516,321425,770430,326728,-1,-1,-1,-1,253214,-1,273192,-1,457072,-1,-1,-1,502775,870827,904442,277864,602157,665935,986800,93082,-1,-1,-1,272158,868458,-1,578025,-1,-1,770485,-1,-1,-1,-1,-1,576472,-1,-1,-1,-1,705488,-1,-1,-1,-1,-1,800052,257870,-1,-1,390338,-1,207781,-1,-1,153430,821749,535171,-1,-1,-1,77004,232540,174220,586676,-1,-1,934012,-1,988801,298023,540626,719422,441380,-1,-1,-1,456431,409819,-1,-1,632490,896098,324846,777797,-1,-1,-1,-1,790787,981076,-1,-1,299774,258859,439315,-1,963547,-1,649266,-1,-1,-1,875384,-1,-1,451213,335932,528373,232634,-1,-1,-1,411062,-1,-1,733860,-1,121739,475460,-1,-1,518391,369293,659423,91578,263203,692653,261241,-1,-1,-1,-1,739451,186156,-1,518065,-1,-1,-1,56812,270166,-1,723926,-1,-1,-1,912937,-1,-1,793363,-1,-1,-1,400802,762903,-1,-1,-1,-1,-1,-1,-1,704318,506847,568537,621100,-1,912298,280186,110138,-1,-1,732364,838626,-1,-1,102859,-1,-1,134339,983489,295195,-1,444562,-1,-1,448578,919548,-1,-1,-1,424843,-1,91064,132968,-1,-1,-1,-1,-1,-1,656817,543642,188813,557855,-1,-1,174797,701467,-1,-1,-1,-1,671458,951899,636920,-1,171630,243583,-1,-1,901986,-1,641983,747013,-1,71632,-1,749010,-1,623669,62631,-1,-1,905092,924766,-1,-1,-1,-1,-1,876665,1480,276001,-1,-1,-1,308318,-1,-1,-1,-1,-1,553021,971467,835823,187700,-1,160495,-1,-1,779743,-1,913665,749984,-1,327856,-1,-1,-1,-1,-1,-1,-1,-1,229337,-1,-1,-1,261173,-1,-1,775463,-1,871160,775388,-1,-1,106778,74650,-1,-1,-1,-1,-1,969695,-1,-1,188820,715895,915580,-1,-1,-1,312447,487635,-1,797759,735406,-1,-1,-1,866193,-1,427284,350635,-1,-1,176920,763993,-1,958025,-1,-1,-1,-1,312374,-1,-1,108354,376364,-1,-1,957547,667297,-1,223042,-1,630183,-1,583779,680105,-1,917309,-1,-1,-1,-1,638045,-1,817725,833823,-1,186201,-1,-1,656939,-1,-1,837756,991320,-1,149803,-1,-1,-1,305155,948105,888234,642173,-1,-1,-1,754174,368611,-1,135557,-1,686065,231291,-1,907766,-1,853985,-1,932406,-1,391774,-1,-1,-1,-1,823147,443062,-1,298295,-1,938274,-1,929539,490136,-1,-1,213819,354127,-1,74898,-1,-1,158847,-1,-1,59388,446689,512822,-1,-1,-1,-1,662680,348645,182348,-1,-1,-1,343278,451880,-1,618466,894451,-1,-1,-1,-1,707836,545026,-1,120977,756591,-1,226121,953457,185170,-1,-1,-1,389041,521879,803568,649300,-1,512990,782230,-1,152311,-1,143412,-1,-1,710690,-1,-1,661073,732022,624573,-1,-1,290505,-1,348058,-1,-1,468064,-1,-1,974614,146527,219508,-1,-1,570930,744897,-1,150604,665255,163253,-1,744565,543872,806261,-1,825414,82383,-1,-1,-1,128188,-1,349372,404193,956459,-1,-1,388756,-1,255349,-1,380020,-1,617754,-1,-1,549967,355399,-1,-1,685667,136140,351258,122475,689831,-1,39921,619766,-1,-1,336012,452689,727944,146516,61789,578334,106975,-1,-1,688570,244178,-1,-1,-1,-1,-1,805794,-1,-1,349081,-1,-1,-1,-1,389700,260135,-1,760212,954655,-1,803354,-1,452101,-1,166456,736290,341013,551281,588510,592937,-1,-1,278688,-1,923375,-1,401585,-1,-1,708815,12281,141404,37143,-1,888472,-1,-1,-1,-1,555223,315744,475831,38742,-1,618651,797471,-1,-1,166760,650208,933576,-1,-1,-1,-1,923280,873380,-1,414147,-1,45900,176949,184484,-1,-1,-1,566912,-1,-1,-1,-1,-1,-1,232809,-1,616742,717432,905243,475745,-1,-1,-1,-1,-1,-1,295494,-1,931242,939563,-1,810862,-1,-1,-1,-1,828921,113102,165123,890413,324604,14304,-1,938711,943013,-1,750586,458995,-1,556339,266881,-1,232297,-1,769401,357615,151202,902769,84898,119884,509769,840844,-1,287315,-1,-1,973677,-1,24972,-1,-1,-1,-1,-1,-1,-1,-1,-1,608880,-1,-1,465699,908481,-1,-1,-1,174876,-1,-1,96386,652101,-1,-1,-1,103030,963138,-1,686406,-1,-1,750589,208173,-1,-1,495317,-1,-1,-1,-1,-1,-1,-1,-1,277826,519506,864552,-1,989270,364441,-1,55806,-1,-1,-1,948841,-1,-1,-1,616749,583094,-1,-1,866041,-1,-1,973941,-1,-1,-1,-1,-1,615562,922403,-1,-1,-1,-1,78116,-1,859929,-1,945230,72450,76284,96049,396224,596581,722699,166562,264197,514744,598685,-1,-1,585787,801966,799128,954293,-1,-1,-1,-1,-1,-1,-1,-1,-1,177518,743667,473093,-1,119384,-1,-1,-1,254697,229169,-1,-1,-1,-1,782140,-1,-1,-1,311025,-1,31208,901505,777533,-1,143234,392265,167159,-1,-1,-1,-1,-1,145711,-1,379926,-1,283552,-1,-1,-1,-1,797896,22691,-1,-1,85814,-1,996497,-1,825315,8340,462013,949521,-1,-1,260502,412775,224667,-1,579333,872914,760622,73888,-1,-1,-1,21913,881155,-1,-1,790263,-1,-1,749696,190161,474623,98620,786768,-1,-1,-1,549940,396359,135850,263683,162048,-1,-1,-1,626900,-1,-1,712718,705565,844295,44174,-1,900717,969183,-1,18340,-1,964474,218065,-1,-1,749110,-1,-1,-1,-1,-1,226904,-1,-1,469001,-1,401497,301147,109053,-1,998553,-1,-1,28518,872782,-1,-1,341757,952322,-1,740126,-1,530951,-1,-1,266895,155117,-1,-1,-1,-1,-1,280645,-1,968242,-1,991440,-1,848451,-1,-1,-1,478324,955325,562758,-1,122499,-1,418879,902943,-1,686824,-1,-1,-1,906346,796096,-1,210393,-1,785119,-1,352850,-1,838740,-1,-1,-1,262940,-1,-1,-1,-1,541854,-1,-1,-1,-1,-1,-1,247276,-1,-1,366850,-1,428352,-1,844888,-1,594982,120081,760802,-1,631449,91221,550998,-1,375460,-1,-1,-1,-1,287145,819958,-1,399805,-1,-1,505087,755450,822410,492997,920111,-1,716195,-1,119859,-1,-1,388311,-1,96493,557730,244479,-1,-1,-1,934768,-1,-1,-1,-1,-1,686196,420289,-1,141064,-1,-1,198433,-1,945041,59121,610997,-1,784899,23934,-1,-1,-1,-1,8525,-1,-1,191436,218171,950010,451542,-1,426163,233226,16249,717659,802697,176309,880745,496018,597348,-1,262981,133783,-1,815747,-1,888735,377013,675560,-1,250105,-1,936341,567625,-1,638191,488568,325152,684327,-1,327538,-1,743071,658648,-1,698849,-1,482084,154710,153901,79608,-1,-1,-1,-1,703853,-1,-1,322064,141006,-1,-1,369028,242219,-1,-1,317150,-1,-1,-1,698493,-1,-1,388992,-1,708923,665163,719397,-1,375667,-1,-1,-1,351740,454792,578235,181818,-1,-1,-1,174208,835690,776697,254443,-1,418328,-1,744618,123743,-1,-1,325763,-1,571069,211051,132317,-1,-1,788726,964295,785241,236832,-1,850046,-1,-1,-1,822741,994481,-1,-1,280845,-1,-1,882586,-1,-1,-1,-1,184751,994648,-1,-1,-1,799670,-1,-1,951548,-1,788038,-1,699087,-1,708725,975894,-1,19049,895254,-1,-1,-1,812346,-1,-1,307634,-1,592983,57339,-1,419550,-1,437609,-1,-1,102629,635322,-1,934016,351078,34939,-1,-1,-1,-1,367696,427774,880068,972118,-1,949096,151831,504765,87835,-1,-1,176955,248695,-1,180864,-1,-1,415039,-1,-1,-1,-1,-1,-1,512867,495334,-1,-1,900460,-1,-1,-1,-1,-1,-1,-1,545306,33771,473893,-1,983922,-1,-1,-1,575343,-1,-1,44796,-1,-1,-1,-1,-1,-1,681060,-1,-1,212992,966275,586380,-1,-1,203758,-1,-1,-1,499392,-1,-1,169495,199068,152824,-1,-1,-1,49349,-1,506592,351921,-1,-1,288572,-1,455410,523239,-1,469249,-1,-1,-1,-1,-1,149738,-1,-1,-1,-1,-1,14651,-1,-1,-1,92905,-1,-1,-1,-1,-1,-1,-1,719561,353972,-1,-1,-1,-1,-1,202476,402411,-1,883849,521350,511004,-1,-1,-1,185443,998649,260060,-1,-1,233261,-1,-1,450237,-1,-1,195255,-1,-1,-1,915045,630996,534897,-1,-1,269494,882852,384801,356722,-1,9915,861700,-1,-1,598522,-1,-1,-1,-1,485648,18767,294164,-1,1009,-1,500313,689912,294623,649569,-1,427724,-1,846726,424667,-1,316267,102075,-1,227606,919339,-1,593908,980470,367845,-1,-1,192770,739494,541382,18936,-1,-1,-1,-1,449732,260424,667093,132891,-1,679526,979048,937297,-1,381849,-1,924561,739536,-1,-1,440372,123139,-1,-1,950169,318023,-1,193776,-1,890817,981426,718734,-1,789108,613510,-1,492535,-1,-1,327698,139587,-1,709686,540410,-1,452769,72657,-1,724553,-1,-1,-1,-1,-1,-1,-1,-1,210276,-1,-1,-1,361714,617301,512349,52963,690082,527560,-1,-1,219669,-1,-1,-1,193810,-1,-1,752831,-1,-1,517949,609013,206094,25657,-1,183629,-1,56062,-1,136918,-1,-1,-1,-1,-1,434568,370469,109175,-1,-1,-1,-1,772001,895732,-1,561130,960523,-1,-1,-1,-1,876676,695688,-1,-1,418183,943010,896261,664453,924211,-1,998253,570192,-1,284513,-1,-1,956319,-1,-1,-1,-1,-1,499183,-1,629795,-1,833256,-1,882054,490960,-1,-1,113015,-1,-1,704349,-1,535419,270891,-1,669067,-1,-1,417497,-1,-1,11325,-1,260840,-1,355849,381755,647408,-1,-1,671623,-1,-1,660400,-1,-1,445369,-1,962341,951414,731233,-1,377397,718021,-1,648671,-1,983659,-1,-1,155227,-1,-1,-1,-1,842810,733588,-1,25890,377585,804494,87575,479945,-1,409008,-1,-1,80090,-1,-1,21921,507657,359828,690879,943798,-1,-1,828398,-1,-1,-1,298087,-1,-1,-1,448942,549132,-1,310195,-1,-1,-1,-1,-1,523530,700297,690365,-1,89029,404297,726107,-1,124425,928584,244928,132749,850669,357489,-1,828748,-1,79009,269326,798480,-1,128040,-1,240013,608713,771512,205868,937213,-1,-1,387921,-1,-1,64287,273325,377993,282918,-1,990138,-1,996716,-1,-1,-1,496994,-1,472450,593530,-1,214397,771230,-1,674733,816812,-1,-1,791132,-1,449554,564650,248150,-1,712734,-1,637583,-1,-1,-1,211570,481154,795080,959506,-1,-1,908967,-1,-1,459227,418894,-1,840840,-1,919003,-1,-1,522381,-1,433490,-1,-1,587787,974148,-1,553723,325482,644890,925522,-1,-1,-1,-1,-1,-1,-1,-1,-1,137240,-1,-1,-1,-1,-1,9461,554103,-1,705218,354096,826403,540526,-1,-1,144212,-1,-1,600105,-1,784729,805264,23773,690079,-1,862626,-1,751630,986073,861019,602204,251353,680077,95080,-1,547255,-1,-1,-1,996054,-1,-1,54375,-1,801975,-1,660512,-1,122794,797550,-1,-1,168299,-1,834666,-1,61368,285521,493172,430616,123894,51920,318951,-1,271468,-1,599017,625251,192343,-1,554398,-1,232489,-1,972937,-1,218721,710404,252794,-1,-1,-1,-1,250815,307249,-1,587561,88716,645142,565842,759687,842969,36024,846207,916035,-1,-1,3160,-1,-1,-1,-1,103349,401957,735381,556028,-1,882950,-1,229398,698265,187345,-1,809368,-1,-1,-1,923639,-1,-1,422526,986617,-1,613985,155961,635019,-1,-1,534166,434597,-1,350857,153713,-1,-1,-1,905558,905492,-1,-1,-1,17267,413761,142018,-1,318918,923501,581523,-1,-1,-1,-1,718486,-1,947648,605900,-1,899386,-1,53713,-1,70877,-1,-1,781643,687290,-1,-1,-1,766951,-1,896793,-1,-1,660851,-1,652299,805150,-1,-1,-1,-1,336396,-1,-1,877501,28029,-1,895568,-1,-1,672027,773599,797785,-1,-1,-1,391517,682133,-1,916871,476671,216111,271995,536503,960761,961262,-1,741838,396930,74676,849188,421566,-1,-1,281076,729624,374081,-1,433298,-1,529479,380805,-1,-1,517888,453945,-1,12155,-1,897206,660213,-1,-1,-1,-1,237591,-1,78128,751525,-1,-1,-1,44124,-1,-1,-1,-1,983229,697648,476789,336429,55866,792329,988488,-1,-1,902364,-1,481211,-1,822643,-1,-1,516252,631113,27322,399839,834647,-1,-1,606829,-1,434852,427812,848316,-1,439958,-1,-1,548656,838599,704510,-1,-1,602367,-1,282776,802026,147210,-1,77001,596989,313825,200420,815750,167451,-1,-1,-1,156722,-1,527178,372745,237349,-1,-1,-1,897190,692016,355711,-1,-1,9967,614373,571638,333714,-1,-1,430996,994427,-1,-1,7296,367643,-1,956420,-1,-1,381040,-1,497253,750864,-1,-1,-1,64670,-1,-1,-1,-1,-1,286983,-1,887804,240069,54949,308667,530834,74810,64004,-1,329405,-1,-1,-1,413661,674241,153850,635184,-1,234852,742017,-1,430645,-1,832077,160427,996781,-1,-1,-1,-1,-1,-1,506104,654277,394220,-1,624411,-1,217605,942096,-1,-1,-1,541130,-1,-1,-1,-1,728655,-1,643283,647248,-1,376143,-1,-1,784990,-1,-1,722979,65251,-1,233320,431580,148888,231874,845619,-1,-1,-1,317933,624300,415460,267422,442988,-1,-1,-1,-1,916522,86878,-1,220311,190425,156778,-1,879745,-1,-1,-1,-1,-1,588074,-1,-1,675713,-1,406288,-1,-1,-1,-1,471271,879470,981890,-1,33575,-1,-1,-1,167029,334344,691929,415408,279596,-1,-1,185371,587202,-1,423350,-1,-1,866560,-1,-1,-1,-1,-1,276075,-1,857736,-1,-1,527311,-1,606033,283082,842740,982691,161302,846263,209724,-1,-1,-1,325954,960801,-1,-1,-1,895456,-1,-1,854693,677197,229115,540917,-1,834516,344693,734982,462990,449445,-1,786254,568322,416899,185650,-1,-1,853148,-1,679598,256514,728535,296743,-1,289520,653161,-1,830320,-1,285036,784174,-1,530122,-1,160326,597629,-1,784529,319498,120780,-1,591755,-1,-1,-1,337013,159035,458636,920570,-1,174144,-1,825393,278201,201776,480022,111509,471727,779832,809901,200811,-1,-1,-1,658473,-1,-1,-1,-1,-1,-1,962019,-1,650908,895465,255488,967068,-1,846488,640229,959426,985664,-1,-1,784391,924009,639378,184858,231343,500896,223134,-1,481444,-1,122535,-1,111644,896551,-1,-1,-1,936552,744709,619687,255629,-1,7809,278798,969600,228891,-1,770334,-1,-1,-1,-1,-1,745443,90485,-1,-1,-1,297396,718891,-1,-1,-1,-1,-1,-1,560265,111747,-1,517018,-1,-1,706637,480472,-1,-1,728144,-1,-1,-1,87096,-1,-1,-1,798204,78338,-1,92672,-1,-1,-1,501863,-1,613875,-1,861542,-1,647703,-1,-1,782337,972132,872414,-1,13416,-1,827067,905803,14153,288778,-1,-1,-1,-1,-1,-1,141495,608264,608151,-1,-1,83169,-1,-1,352306,-1,-1,371841,-1,-1,-1,160665,-1,-1,990858,152735,-1,-1,-1,-1,76125,358377,-1,-1,-1,799568,-1,-1,-1,950322,-1,-1,912364,396727,963501,-1,-1,608984,-1,-1,-1,-1,-1,-1,197014,-1,997649,397202,-1,-1,808703,671271,-1,188123,-1,555327,465584,-1,-1,-1,76165,-1,122311,875841,21825,-1,523356,485836,-1,-1,255852,-1,-1,66132,-1,216375,806649,-1,-1,584568,282360,244715,246304,229754,740120,392427,271596,314516,-1,68753,-1,-1,-1,61187,-1,973102,-1,362544,285253,-1,607758,-1,-1,839464,-1,545872,-1,-1,951307,805743,341390,148561,539334,497459,503652,-1,-1,647917,211770,-1,336314,747852,930276,722196,824455,792744,-1,661261,-1,891210,113455,681246,993887,451107,256515,314079,-1,316996,950844,66433,-1,523477,125017,219250,-1,-1,104821,223287,176718,947157,-1,848660,420633,-1,-1,-1,372577,-1,-1,249620,-1,623187,292196,451425,170491,-1,4740,741263,-1,-1,-1,900800,-1,668329,613581,492601,-1,910265,502783,131631,-1,751463,709833,809336,566133,-1,803479,432979,-1,977824,-1,-1,507548,370841,-1,537327,-1,429154,314928,938983,-1,-1,23467,-1,-1,-1,922159,673037,-1,-1,896475,213778,675268,-1,-1,-1,-1,-1,493189,-1,-1,332520,-1,790257,-1,126873,-1,879199,-1,-1,-1,140083,-1,-1,-1,-1,739371,-1,508748,73938,382221,-1,648232,609098,158166,-1,-1,962785,77418,-1,925199,-1,57126,622920,875887,816909,645297,-1,-1,150886,393688,543515,-1,-1,-1,98090,-1,634635,49445,-1,164197,-1,-1,747257,-1,-1,-1,526107,410949,297763,-1,-1,30435,523652,-1,-1,-1,-1,449021,421777,625589,-1,-1,139920,840653,-1,331144,808804,-1,-1,-1,652235,131035,-1,30560,-1,939972,-1,-1,240995,816970,-1,522526,-1,613694,-1,-1,87043,-1,203718,150447,-1,-1,816014,716258,-1,859039,-1,851368,-1,925338,-1,171634,160726,-1,263874,822036,654378,-1,-1,-1,-1,-1,-1,542767,-1,626755,-1,-1,757353,-1,-1,545683,420291,-1,33599,760416,456995,-1,-1,-1,366907,188485,-1,-1,-1,713583,966423,-1,-1,-1,554352,-1,353712,-1,-1,-1,-1,400265,-1,-1,788881,581937,985938,687278,-1,-1,-1,-1,849746,699614,-1,752340,-1,416205,-1,29468,237648,-1,-1,624998,-1,-1,-1,662790,-1,168468,-1,-1,-1,-1,69510,-1,-1,-1,-1,-1,-1,38933,-1,981999,-1,378544,-1,3130,-1,737247,-1,956551,-1,52306,-1,-1,459326,-1,-1,-1,40557,-1,450532,-1,-1,-1,175494,-1,-1,-1,-1,-1,663340,436770,548818,-1,-1,671321,794821,836496,812286,-1,-1,-1,-1,-1,122320,38010,-1,655425,101307,-1,-1,-1,-1,501160,-1,328340,452534,105278,404935,-1,122198,746314,-1,274691,231183,-1,-1,336240,949212,440126,142501,-1,-1,546195,-1,353133,-1,919148,-1,-1,-1,-1,250216,-1,-1,-1,-1,-1,322598,-1,-1,-1,-1,701730,-1,-1,925837,-1,-1,407903,-1,-1,421646,69050,-1,-1,-1,508354,-1,-1,536077,318703,-1,811858,-1,-1,789328,497345,204018,-1,623,-1,216877,-1,-1,-1,-1,-1,-1,719814,-1,897550,609877,402121,-1,579421,316341,580110,366443,-1,-1,-1,119520,494917,663358,-1,819181,-1,18693,978252,321977,-1,-1,440615,629244,-1,-1,-1,142595,-1,42241,-1,506624,4664,963383,899125,-1,781103,-1,174803,-1,-1,-1,-1,752075,422405,-1,-1,-1,496079,-1,19268,-1,-1,-1,-1,-1,-1,115590,-1,971931,-1,554861,-1,59555,-1,805035,951641,-1,-1,530045,-1,-1,948275,-1,694351,-1,742484,337808,-1,-1,870599,930579,892491,-1,53011,-1,-1,-1,781167,-1,-1,311851,331871,-1,249242,934347,-1,913973,798532,570364,-1,716782,148770,-1,-1,-1,285763,677496,869495,172000,211920,899972,-1,636309,-1,745811,-1,354626,92943,416470,-1,813076,752804,-1,-1,-1,-1,454599,-1,821808,-1,-1,-1,-1,738392,74777,117152,-1,-1,-1,-1,-1,-1,-1,299008,-1,-1,458027,169071,870643,101209,937290,40954,-1,-1,-1,-1,-1,-1,397109,589730,594120,-1,604618,282104,909759,-1,302811,-1,-1,346424,-1,-1,-1,701371,-1,-1,-1,-1,639171,-1,-1,-1,-1,-1,107104,366155,765716,-1,551679,-1,-1,-1,-1,-1,928610,-1,551321,-1,-1,98772,-1,490908,-1,640361,847713,215891,87037,756537,875301,720161,-1,-1,-1,-1,-1,52670,423630,-1,-1,874151,854132,-1,-1,-1,286112,-1,306452,666939,334727,-1,143786,-1,-1,-1,-1,768811,-1,-1,-1,-1,406385,63671,213505,883583,-1,-1,93435,760185,-1,-1,239322,-1,-1,-1,500978,-1,848047,-1,776346,-1,-1,-1,130275,-1,425296,823826,411496,-1,520825,-1,-1,-1,-1,751851,146962,371412,-1,-1,-1,-1,-1,759595,-1,-1,-1,-1,379453,954166,-1,548147,993224,96017,-1,-1,-1,670328,-1,738482,-1,703562,546831,-1,111474,-1,-1,775567,396716,-1,828219,407281,495949,400650,643660,-1,-1,572378,235853,11008,768624,712702,-1,-1,-1,-1,745223,359173,88180,-1,959421,-1,-1,205585,403957,-1,16946,-1,-1,-1,-1,413292,-1,79874,250196,200675,150470,703890,-1,225204,-1,-1,-1,178613,-1,-1,821305,359658,89646,71172,-1,-1,-1,107518,-1,-1,-1,937111,-1,28346,573096,-1,672569,-1,-1,-1,325348,748628,953650,575946,629251,-1,-1,727070,588034,-1,-1,820053,964421,817313,900598,-1,368618,-1,526294,-1,-1,113966,-1,767050,900718,539490,-1,622701,417311,-1,-1,-1,-1,172695,454550,-1,388908,65394,620972,-1,-1,-1,-1,851913,-1,-1,-1,895894,-1,7916,-1,-1,689881,341292,-1,85373,-1,27428,-1,436304,-1,-1,189994,830936,158268,-1,585902,585613,-1,-1,-1,357416,768601,735998,75060,-1,-1,-1,671267,-1,389868,117216,-1,-1,-1,416745,500551,566342,384758,742908,101629,-1,751803,-1,-1,758957,-1,-1,800338,506093,175274,254675,-1,778458,-1,45090,-1,-1,239333,-1,713520,-1,922971,590411,-1,-1,892167,-1,678393,-1,-1,-1,-1,-1,-1,401617,-1,-1,875707,975249,-1,-1,58978,-1,-1,874008,-1,966311,692195,-1,-1,476066,-1,143213,261597,-1,-1,33886,-1,-1,-1,-1,-1,-1,-1,335661,-1,-1,65422,-1,-1,-1,448169,38246,626848,773507,26943,-1,-1,-1,-1,53040,714489,997398,-1,272017,-1,327016,-1,-1,484445,682470,-1,779392,538556,-1,-1,-1,153380,426688,-1,-1,-1,626943,-1,723726,145836,-1,-1,155766,-1,29021,-1,704499,198913,-1,-1,-1,296497,285347,432766,-1,-1,-1,-1,653443,-1,-1,362908,-1,26370,-1,-1,-1,-1,915370,918251,-1,-1,990012,-1,692495,867024,-1,-1,-1,237940,-1,-1,-1,-1,-1,-1,908931,251742,694745,-1,922298,-1,657445,-1,187507,111736,-1,407060,716750,-1,562110,-1,-1,945279,293618,279155,786302,129613,-1,-1,87375,890525,-1,-1,-1,430542,-1,-1,60966,-1,160262,781808,-1,806048,765342,653256,971976,-1,984692,-1,-1,-1,813208,-1,666180,-1,-1,-1,350618,412498,-1,-1,130072,101118,710760,46608,-1,328603,-1,-1,785935,410997,30027,68982,427751,473853,311823,-1,-1,915684,677189,-1,390184,374753,865278,437164,-1,503987,-1,887510,-1,-1,-1,-1,548380,-1,-1,817889,-1,-1,-1,589330,-1,-1,250360,-1,-1,540012,831473,-1,-1,792265,945250,697011,60697,373272,562357,534154,995415,884458,-1,-1,178319,-1,33304,328705,-1,728991,-1,147414,-1,-1,-1,77545,83252,411802,81833,-1,-1,-1,-1,-1,51052,-1,-1,-1,633552,-1,741924,812400,-1,766975,985360,900169,360266,-1,579414,690418,561258,-1,-1,-1,95524,-1,-1,732077,-1,-1,497547,-1,-1,235386,-1,562272,-1,261569,727602,202832,393628,-1,834798,774670,336888,-1,-1,-1,142998,-1,-1,471394,-1,690564,-1,472426,-1,755098,857521,-1,854364,662393,769212,-1,-1,-1,609222,-1,-1,-1,-1,352628,909088,-1,608343,-1,979247,-1,673563,-1,-1,-1,-1,-1,248014,-1,-1,-1,549460,338969,-1,763830,702895,-1,-1,298167,614355,473086,-1,465033,402032,685730,-1,-1,-1,60215,-1,892865,141436,-1,-1,-1,-1,81835,-1,-1,145927,-1,582945,619602,955747,934576,709121,-1,637558,129602,-1,-1,-1,-1,586145,207667,361395,-1,688329,121533,940404,-1,-1,-1,-1,-1,-1,989801,-1,-1,-1,355320,-1,-1,383957,890305,-1,483381,907898,-1,-1,201187,754274,-1,363342,377931,-1,553503,892292,970853,-1,-1,-1,211047,277216,656757,81789,-1,-1,-1,23394,-1,572829,807926,-1,-1,999998,21170,-1,-1,139096,-1,-1,224202,178901,14001,713844,-1,-1,406276,727341,626780,806713,-1,-1,-1,201192,-1,365491,-1,-1,184075,-1,200446,442369,917510,-1,-1,537643,425081,-1,-1,-1,576974,985582,-1,-1,960895,336283,184617,-1,-1,381195,-1,877193,-1,98309,976318,-1,-1,471131,5711,-1,-1,-1,-1,-1,-1,259393,513704,480934,3952,-1,271769,-1,978915,-1,726293,-1,368806,-1,104751,-1,179053,-1,-1,183854,296108,658326,-1,314394,904310,817262,-1,823253,528351,-1,798125,352027,343926,892583,-1,398823,224750,-1,271760,-1,514254,-1,892600,274351,-1,-1,160833,208053,952550,-1,894331,-1,814399,-1,-1,293451,-1,-1,-1,510126,-1,-1,68021,464577,209082,-1,-1,465594,-1,32542,704893,-1,40458,793859,418065,-1,107058,-1,612479,494413,-1,578324,679566,714128,642643,5719,-1,-1,310828,-1,-1,821264,-1,406718,38897,562389,813623,437896,-1,569103,559800,-1,261340,-1,862262,214296,-1,-1,-1,519193,626873,456918,144366,-1,100895,-1,-1,555851,-1,955493,628689,-1,-1,15478,-1,342215,-1,649772,-1,706364,-1,-1,401676,-1,-1,76052,-1,-1,-1,78996,991565,-1,936060,-1,564722,690563,-1,-1,-1,314917,413178,-1,154499,895232,-1,908457,-1,-1,-1,6357,306792,-1,-1,-1,-1,-1,-1,-1,-1,-1,797316,677610,406884,-1,-1,-1,413161,-1,-1,831087,-1,-1,-1,-1,-1,-1,858481,90411,633367,-1,-1,257012,647214,-1,296076,-1,-1,822703,-1,270215,125060,53316,-1,-1,-1,931152,184683,818302,-1,994712,-1,494381,310705,-1,54231,-1,402176,331162,345058,754089,-1,-1,-1,272936,-1,-1,-1,965120,461614,-1,571610,-1,771457,507570,239907,232801,330225,-1,988560,273924,201155,-1,-1,-1,715955,941964,-1,547239,178638,-1,700644,201152,887675,315944,-1,642725,-1,-1,491753,-1,115307,524718,-1,-1,-1,-1,675389,-1,-1,36225,986205,-1,-1,-1,859316,-1,-1,617713,-1,-1,78308,634324,-1,-1,-1,-1,-1,46012,761522,202070,-1,860702,-1,-1,-1,870702,-1,676227,778846,47621,432508,-1,417587,-1,-1,-1,120039,-1,332319,-1,-1,-1,307060,596641,235271,250181,-1,349501,841417,180834,-1,-1,544815,-1,189380,369841,620804,128644,-1,850279,221488,748635,721744,-1,173411,898211,-1,201970,709457,661324,-1,-1,35768,864057,-1,-1,-1,311853,-1,954326,85629,6915,626662,-1,-1,-1,-1,688970,905252,705572,958825,214336,-1,623282,387042,-1,402507,751493,-1,-1,6667,150080,-1,-1,236715,983260,503123,-1,-1,-1,602599,888018,129041,-1,-1,395327,-1,-1,-1,-1,605814,-1,-1,-1,310796,-1,-1,-1,288923,-1,99629,-1,-1,563617,376567,790702,58853,409743,-1,12095,-1,157405,105008,497445,-1,-1,-1,665698,-1,803036,677200,-1,-1,-1,-1,917927,587007,440353,744434,-1,238774,-1,-1,-1,712920,156653,895687,-1,445221,-1,539418,738072,622981,-1,-1,-1,29209,224859,-1,299244,17946,966728,-1,-1,-1,183458,-1,201752,-1,1627,-1,700358,-1,317180,-1,-1,683376,-1,244825,596123,-1,-1,810894,-1,-1,-1,640870,146280,-1,-1,553975,279103,749008,-1,-1,-1,-1,-1,940724,-1,753080,356858,264001,-1,-1,94817,-1,400342,107413,194394,115080,-1,-1,512952,-1,705476,-1,-1,-1,781267,-1,-1,522584,-1,252630,249680,-1,907949,-1,-1,185707,488384,130889,-1,-1,-1,149477,-1,-1,-1,652940,396477,915289,-1,94830,735285,-1,-1,314723,-1,-1,-1,209208,-1,183209,-1,-1,981929,-1,-1,851766,371615,697409,541210,614755,321433,-1,782951,761450,-1,161098,-1,242406,821223,-1,-1,-1,-1,-1,704894,-1,588916,573887,-1,543323,184821,580906,-1,-1,-1,81080,-1,-1,690372,-1,-1,942333,-1,664225,548609,-1,890436,293734,-1,-1,412483,883697,-1,-1,97665,478973,-1,-1,-1,-1,-1,541405,-1,410535,356252,-1,-1,-1,-1,89635,-1,505316,341399,-1,150761,954541,682665,-1,893381,386281,-1,744803,104312,-1,-1,535222,723500,-1,197450,76286,339489,375044,837973,4552,170050,440514,-1,509901,346095,-1,724945,655015,91981,-1,-1,-1,878888,876511,419880,-1,-1,617939,-1,-1,-1,-1,-1,-1,-1,-1,314431,571404,-1,-1,661799,800895,475754,-1,-1,920207,42987,694791,-1,-1,641939,-1,407734,393924,-1,590853,-1,-1,896348,-1,221054,-1,105492,616406,813387,-1,-1,-1,852590,894531,-1,838226,483127,932521,719717,-1,663620,-1,-1,-1,-1,-1,698894,976124,258542,-1,346017,132984,122902,102676,678893,184412,-1,37911,392398,894069,934618,-1,916273,-1,-1,782966,-1,-1,335317,-1,423833,546870,-1,-1,-1,396008,612233,105880,-1,-1,-1,-1,505917,961647,89320,-1,-1,-1,-1,-1,815930,-1,-1,705347,739200,639349,261201,621536,-1,248846,-1,701714,-1,-1,233594,-1,-1,-1,469615,377079,-1,268881,-1,669102,-1,717587,149009,-1,437251,-1,246187,-1,-1,992226,493998,-1,-1,375187,407113,202252,-1,181498,68440,874783,-1,505738,791703,622725,14502,166071,180298,725846,31271,-1,228489,-1,412441,405180,-1,506878,-1,809614,-1,98499,425202,-1,-1,-1,704321,448223,342598,-1,353462,784246,931836,816687,-1,-1,-1,807580,-1,937191,-1,841424,44537,509355,613701,-1,-1,969246,293,-1,181715,373430,-1,-1,643604,360320,548401,481312,-1,-1,-1,256190,-1,-1,215209,-1,884245,706312,-1,694183,-1,27800,-1,936494,247400,-1,320833,-1,-1,401984,267130,-1,-1,-1,-1,-1,-1,235783,-1,-1,-1,-1,287283,-1,-1,879061,348167,-1,914346,-1,-1,711834,442803,797895,-1,756218,809099,-1,-1,801305,532343,-1,928083,764408,853311,565900,-1,720141,629835,-1,878668,872292,-1,127098,469362,-1,-1,-1,899029,-1,350107,655176,-1,-1,972135,918733,-1,-1,-1,-1,710176,-1,252874,-1,698928,833753,792895,928740,574211,-1,-1,-1,-1,257964,858772,448150,593181,-1,515065,665176,-1,-1,566750,-1,368360,175335,-1,869056,-1,-1,699272,-1,-1,-1,-1,-1,753390,479545,854378,99435,-1,-1,-1,-1,131760,-1,976751,244664,318713,-1,-1,-1,-1,-1,-1,-1,-1,550557,108438,842273,-1,846544,300314,-1,-1,608823,737625,-1,-1,-1,-1,356434,-1,-1,-1,638037,406156,330184,-1,-1,-1,-1,-1,-1,-1,468494,700869,-1,-1,-1,-1,549851,645179,241620,252643,125302,-1,-1,357027,38669,-1,924296,-1,-1,912839,-1,794376,311594,569070,981468,-1,294480,-1,395975,-1,442032,-1,-1,-1,223330,92393,573431,663402,-1,-1,-1,441986,-1,-1,276055,175351,-1,-1,737126,763278,682170,-1,318201,150229,853414,-1,-1,600569,287352,361927,-1,288920,870822,932066,-1,826820,792458,-1,358044,-1,193778,-1,313416,-1,37389,-1,-1,31876,-1,250212,-1,411328,864410,-1,575894,794869,-1,-1,72949,611063,-1,-1,653002,-1,-1,-1,-1,152051,-1,-1,456975,960550,312412,-1,-1,-1,-1,100026,-1,316123,-1,-1,939039,-1,-1,-1,678819,-1,-1,643563,-1,-1,-1,-1,-1,85734,866107,493896,-1,-1,944915,465731,384761,292390,-1,-1,621974,758025,-1,-1,-1,-1,-1,-1,94997,-1,-1,-1,471346,-1,91108,-1,-1,-1,-1,-1,-1,-1,787498,47301,168341,-1,-1,-1,-1,276471,991967,-1,-1,572210,-1,829839,850957,-1,608008,-1,-1,375221,-1,-1,-1,-1,756549,-1,685679,666937,582238,-1,65469,-1,-1,-1,847249,-1,956544,-1,786148,750323,-1,969513,-1,22932,-1,-1,-1,105889,-1,639239,-1,457052,-1,268194,-1,110490,45486,-1,-1,673629,-1,992441,-1,-1,-1,-1,-1,615756,440472,404393,456894,921219,843876,308623,329170,893682,208169,-1,763704,-1,791884,-1,168770,-1,-1,690974,133157,885982,718290,-1,646756,-1,829476,291056,353857,-1,340644,589604,-1,579109,-1,-1,-1,-1,-1,-1,-1,-1,178530,-1,186199,396760,360223,227278,-1,-1,-1,917344,-1,-1,165068,-1,-1,-1,122346,995121,-1,-1,-1,-1,468714,520789,655211,-1,-1,-1,-1,-1,-1,-1,-1,-1,964927,880116,919364,-1,133817,555566,-1,63880,417613,577969,242020,645818,206529,386155,421047,-1,-1,-1,-1,789310,-1,447862,-1,833703,-1,611436,-1,-1,-1,-1,370257,-1,98416,896694,-1,-1,699143,-1,484860,-1,953744,-1,-1,-1,-1,342635,946657,-1,-1,-1,-1,209057,-1,633390,921764,-1,954442,42864,-1,551596,-1,135027,163323,540459,129395,-1,807785,-1,-1,-1,17271,865358,245200,-1,-1,449498,-1,245471,674756,39505,749316,-1,-1,-1,941884,-1,-1,260696,-1,-1,-1,975000,48396,604890,-1,919866,-1,414151,-1,-1,587128,865386,-1,484474,-1,204689,392426,-1,-1,-1,953989,-1,641801,618849,-1,-1,-1,-1,-1,-1,300416,938230,188155,140626,12397,906733,-1,322154,227633,208818,-1,677680,44136,-1,-1,-1,-1,664397,-1,508029,598354,-1,-1,187519,-1,-1,719726,-1,-1,552633,483515,557076,-1,843402,363122,-1,-1,-1,258313,-1,650131,-1,-1,177588,-1,-1,117408,90674,-1,-1,-1,688356,-1,283876,-1,99211,350359,-1,-1,-1,965505,-1,581360,-1,692926,557779,39676,-1,-1,-1,-1,-1,-1,666655,-1,-1,-1,-1,-1,-1,18712,842691,-1,154703,-1,-1,292883,987639,350534,-1,589739,-1,-1,653342,-1,579934,679971,465057,-1,-1,-1,702727,826187,-1,-1,673836,-1,-1,-1,946993,937324,-1,156428,-1,150459,-1,-1,426804,609166,999254,328605,149913,-1,93503,732616,584832,458232,-1,575328,-1,-1,455023,-1,988652,-1,680736,528930,-1,248096,725480,-1,-1,-1,617197,465947,-1,-1,204622,966958,369800,31078,-1,-1,787975,216245,-1,13954,-1,-1,340971,-1,618192,-1,730041,-1,-1,-1,479603,246799,752870,-1,968473,-1,102216,-1,-1,351164,-1,457922,1456,434150,-1,-1,-1,-1,818102,-1,548934,242807,594564,829459,-1,-1,95796,-1,246126,254039,-1,534306,30174,397648,777504,886591,72019,188457,419300,196789,443343,80465,121568,80360,-1,493088,116464,-1,602621,-1,-1,190463,-1,-1,128186,543535,-1,-1,-1,642795,-1,219701,396390,626402,745854,-1,434987,-1,-1,-1,884504,611090,-1,47918,139058,213138,692330,-1,723913,44070,-1,878977,-1,-1,-1,-1,-1,578959,-1,-1,675575,51342,-1,-1,959303,-1,37874,-1,56365,415722,745105,-1,-1,-1,-1,-1,-1,508399,-1,675663,569302,-1,-1,-1,813878,-1,906585,-1,139030,-1,-1,911828,-1,22165,-1,-1,-1,-1,-1,-1,-1,586116,-1,17859,-1,-1,317062,-1,893121,-1,-1,818001,-1,528619,313186,-1,-1,-1,711215,771965,-1,-1,832038,-1,275838,-1,431798,-1,-1,-1,-1,853127,205176,-1,-1,-1,-1,736775,119656,755538,-1,-1,933560,-1,521142,-1,46970,-1,515729,-1,-1,-1,464696,693291,896237,-1,-1,-1,32203,-1,455378,-1,-1,-1,617611,-1,-1,815914,214772,851622,251074,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,688397,-1,-1,-1,979454,691103,-1,-1,-1,-1,994665,-1,598420,634812,-1,25597,-1,-1,-1,573722,-1,-1,-1,401434,543311,103320,-1,168084,220636,-1,-1,999495,740258,206774,-1,-1,-1,-1,-1,954410,-1,-1,-1,247682,-1,-1,571815,-1,679938,321955,-1,-1,-1,729223,850446,957050,488517,-1,208145,22771,-1,-1,272030,-1,-1,-1,78891,-1,615332,-1,131874,196989,-1,511272,-1,-1,-1,-1,544082,-1,-1,-1,357232,591788,-1,711235,-1,-1,-1,63580,321059,-1,757357,694831,743313,450325,-1,-1,26767,-1,-1,-1,-1,353828,-1,786759,324013,-1,56488,695825,127147,-1,622986,-1,-1,734460,127703,-1,-1,-1,620888,510150,-1,620959,797519,52201,-1,19899,-1,648199,992267,856500,-1,-1,476950,303263,-1,-1,322028,-1,199282,-1,743,-1,-1,-1,-1,732396,325951,-1,-1,-1,-1,-1,785424,119898,769182,-1,-1,-1,135879,-1,-1,945377,254986,-1,-1,-1,467693,729840,-1,536241,-1,359172,208529,540313,-1,455930,-1,725202,41231,525662,72338,909600,-1,660451,660283,-1,35020,-1,279591,737814,-1,550041,62140,363596,-1,642772,-1,-1,968981,593542,-1,-1,-1,792660,531723,986982,-1,857265,-1,-1,-1,-1,-1,249127,-1,478706,499581,-1,-1,-1,841632,893171,742062,-1,57246,-1,146255,-1,-1,-1,173359,-1,953942,-1,912024,-1,739388,773907,-1,-1,-1,838255,95900,-1,626975,5512,635026,-1,288912,53029,-1,-1,-1,941387,420714,684177,-1,-1,154567,-1,-1,905078,891756,-1,-1,754292,843940,178711,559690,376553,849855,404828,907841,239959,905724,-1,-1,355744,-1,426336,-1,-1,523321,120588,-1,414630,940857,-1,-1,-1,-1,812207,441176,-1,-1,-1,754647,678028,-1,-1,355992,-1,-1,-1,-1,-1,-1,-1,222276,766615,-1,841288,-1,-1,-1,-1,866855,462753,-1,-1,691747,920852,38513,680854,377926,-1,349698,-1,403248,-1,-1,846160,530651,443744,783081,-1,837430,496264,939230,448268,900709,-1,-1,299931,283820,496906,868974,382503,296119,-1,-1,448222,-1,-1,86454,-1,-1,615336,-1,-1,238648,925075,821054,981256,185366,951685,499302,485317,416114,-1,-1,717235,-1,767837,-1,975461,-1,-1,-1,832543,194731,322470,-1,315958,-1,293851,56830,694002,-1,-1,426776,-1,60858,978198,-1,66986,-1,-1,-1,147243,-1,-1,-1,230330,-1,-1,723594,-1,421701,-1,-1,-1,-1,-1,51681,689002,-1,503443,577212,811980,610364,553357,-1,51829,-1,-1,129808,920823,377432,893410,-1,-1,593421,-1,866185,250804,666336,830132,674695,-1,224212,287459,-1,173672,243854,-1,-1,-1,-1,214558,5151,998927,-1,8048,853353,-1,-1,844801,-1,-1,693215,74841,-1,406378,952955,976181,45579,-1,790454,-1,-1,-1,127081,-1,-1,-1,-1,-1,200033,809461,869923,639573,439769,147196,-1,-1,464400,873718,336344,-1,877200,-1,-1,882673,-1,-1,819640,203136,238565,98511,313849,-1,393568,984188,354009,364827,770787,-1,-1,661898,312726,-1,220455,-1,95967,-1,-1,472561,92256,-1,-1,-1,-1,-1,551844,328299,385603,-1,558175,-1,-1,-1,-1,-1,988639,-1,-1,-1,322962,-1,-1,112956,928905,-1,-1,-1,374441,215926,-1,-1,894749,-1,966741,-1,939669,636443,771258,-1,-1,-1,-1,253269,-1,168216,760842,799100,-1,262628,888359,879789,-1,-1,-1,-1,-1,80598,-1,89006,37201,-1,-1,373530,803504,893255,567486,107122,-1,-1,477343,680514,973891,265297,-1,-1,211372,-1,898269,454222,-1,468059,-1,-1,119020,-1,646718,-1,-1,252823,846292,273174,-1,-1,895623,-1,-1,59795,-1,729454,426798,682302,-1,-1,-1,-1,181839,-1,-1,382722,488527,-1,218346,-1,-1,356435,-1,-1,360930,559202,677956,-1,93267,-1,174835,-1,-1,539724,975725,-1,996291,565419,346369,-1,-1,559128,-1,-1,702274,-1,-1,-1,-1,-1,-1,-1,617225,-1,733086,711154,491570,622259,-1,-1,715782,-1,971712,348256,-1,-1,-1,-1,-1,232700,-1,-1,-1,719634,-1,-1,664362,12888,552857,490184,772693,-1,150046,933062,104856,-1,-1,592498,823487,-1,411388,-1,995343,397615,723737,-1,725371,356716,84165,443504,-1,-1,-1,-1,207922,-1,-1,-1,888572,634691,-1,-1,183374,979523,670197,-1,694447,-1,957489,475128,117291,292453,868915,641409,781027,-1,638884,-1,-1,-1,945342,-1,507978,353528,-1,-1,-1,398151,646224,427140,-1,673212,519710,-1,-1,405774,130196,228755,-1,591970,6583,-1,853917,856957,212302,240816,365984,-1,359583,180631,957080,946798,89853,-1,712885,88378,407180,397620,-1,-1,-1,703581,-1,606741,-1,250247,808190,-1,318580,-1,-1,376379,-1,-1,-1,145125,645393,134413,-1,970953,648639,-1,-1,519867,-1,686380,-1,832647,-1,935241,-1,-1,-1,792765,-1,-1,-1,-1,-1,29280,175455,-1,918377,-1,673339,379666,344383,536135,-1,-1,-1,-1,-1,900482,138133,593644,-1,-1,157924,-1,-1,177651,406992,-1,909891,-1,765008,948565,-1,454858,135775,-1,255460,753397,76591,-1,-1,-1,-1,859665,-1,-1,43776,999956,60792,508902,424811,-1,834654,-1,71786,121080,-1,-1,929420,888413,-1,933426,978329,318490,-1,18781,77209,-1,534421,-1,903822,38463,601918,212406,-1,643391,-1,547490,-1,367400,-1,682336,641053,-1,-1,889167,792421,-1,-1,-1,435399,-1,-1,-1,-1,-1,-1,954607,-1,260566,152205,-1,919734,-1,978610,987999,455656,-1,-1,-1,-1,-1,748565,825091,-1,250168,-1,702823,355968,-1,-1,-1,-1,-1,10753,835407,-1,-1,354715,526088,-1,-1,-1,833330,-1,888437,642616,24307,155931,-1,592464,-1,-1,-1,-1,-1,439287,983287,46054,-1,485148,-1,-1,699161,-1,225527,-1,850832,-1,-1,-1,108205,-1,-1,-1,-1,453543,885916,-1,-1,729222,484197,-1,440454,-1,785615,-1,-1,292912,-1,700718,622884,-1,-1,-1,176079,-1,-1,543336,-1,174882,75975,-1,842305,-1,894085,391395,33495,206032,60652,981661,306565,-1,611153,-1,832335,477674,-1,-1,88190,-1,-1,-1,74158,-1,-1,-1,-1,369980,19204,-1,-1,-1,-1,-1,-1,818527,-1,403757,839477,-1,975165,877377,-1,-1,-1,-1,-1,20373,-1,16899,-1,-1,393858,403217,301650,-1,-1,351268,619115,-1,443766,231344,-1,131924,-1,-1,-1,303412,-1,-1,-1,-1,615393,-1,833798,228301,952053,-1,250550,-1,9855,-1,-1,-1,-1,-1,-1,64221,385021,564728,29476,-1,441459,-1,131058,-1,72646,-1,-1,-1,-1,673298,-1,254201,-1,47187,904901,315754,54187,587824,952399,254942,488321,-1,-1,843614,-1,371767,27169,694146,-1,-1,212230,487128,-1,-1,457475,-1,969961,-1,837052,-1,565431,-1,278884,364930,-1,650464,-1,-1,-1,-1,-1,406692,767441,-1,759557,920511,518741,249193,-1,-1,648439,914661,276315,-1,-1,869905,-1,-1,365636,176363,-1,654359,-1,-1,689689,296396,-1,-1,981246,729622,-1,516178,-1,302911,-1,791003,-1,622511,-1,830856,-1,-1,-1,265094,755920,-1,-1,-1,462958,-1,103796,661232,-1,826436,-1,977265,-1,-1,72310,-1,119244,821458,-1,346237,-1,361728,492735,306130,-1,838034,761242,-1,803685,-1,-1,656968,-1,190023,-1,-1,807567,-1,951259,-1,-1,-1,665893,354775,391513,-1,-1,-1,888702,961901,449403,-1,-1,-1,-1,-1,47909,441201,-1,316414,-1,-1,-1,-1,937660,-1,-1,-1,-1,235815,555993,-1,-1,403704,216104,785976,4323,-1,399213,-1,-1,-1,333082,261530,679073,-1,-1,-1,965917,250722,-1,-1,4174,-1,-1,7303,-1,877151,379050,-1,-1,-1,694869,279234,-1,278411,249877,-1,929306,-1,-1,-1,702381,357025,752032,520287,674774,788015,-1,-1,-1,-1,-1,308215,-1,-1,-1,-1,-1,-1,-1,-1,864238,-1,196382,132109,86882,-1,-1,926631,-1,-1,895438,-1,725384,-1,-1,363759,380392,571581,-1,860605,-1,558367,-1,-1,-1,-1,904691,-1,783899,-1,847556,934495,-1,-1,-1,-1,216963,-1,-1,-1,-1,229265,227019,564979,-1,-1,-1,-1,-1,612363,734778,-1,-1,274965,335584,-1,-1,-1,598622,-1,-1,724528,521536,883971,-1,-1,-1,428999,439670,543450,322980,-1,-1,935567,-1,-1,554030,756105,81841,-1,516034,233802,-1,-1,-1,26522,-1,-1,431682,251572,971700,134511,-1,-1,157749,934326,-1,-1,832895,-1,-1,410266,612777,-1,851236,-1,-1,-1,-1,-1,-1,-1,431877,239387,-1,-1,-1,575242,587737,-1,-1,988594,910260,252811,871079,896181,-1,729991,815085,130042,-1,-1,-1,163688,92180,383925,-1,580674,-1,970996,-1,593970,-1,-1,-1,-1,51946,312915,606992,354723,59620,-1,269400,902054,366675,-1,823962,56154,-1,-1,672959,229436,-1,-1,-1,675046,-1,-1,-1,263524,505809,-1,-1,-1,191925,911085,5209,-1,-1,-1,618587,846665,256942,382327,675070,450948,150996,470149,233710,-1,-1,-1,-1,537855,67936,-1,-1,-1,238683,903523,463528,-1,990586,-1,344970,859274,608100,-1,702262,-1,-1,632368,774560,974218,420886,891321,-1,480773,-1,-1,157936,-1,604761,-1,-1,-1,-1,119139,-1,-1,614731,-1,391443,-1,235840,-1,-1,-1,666317,684470,614513,836022,-1,-1,-1,287784,53441,827436,-1,568656,64362,-1,660585,843139,-1,-1,-1,-1,-1,1340,702583,-1,-1,427939,589683,-1,-1,-1,601847,-1,510329,-1,-1,385733,-1,273146,822515,742107,606409,-1,-1,325875,-1,-1,528955,-1,610805,-1,-1,-1,-1,239560,869873,-1,337473,-1,401968,-1,-1,357091,486137,-1,15839,-1,-1,-1,-1,-1,-1,-1,460684,-1,227153,339066,-1,-1,-1,76280,17750,546198,-1,52677,-1,789257,-1,-1,676988,494398,439907,-1,-1,626428,-1,-1,899896,717200,-1,-1,760855,-1,-1,-1,231138,-1,-1,-1,766266,-1,807519,250707,-1,101980,81099,494215,-1,-1,-1,-1,801114,804357,479239,-1,883126,503025,-1,-1,812951,-1,-1,489132,-1,-1,-1,-1,-1,-1,-1,-1,-1,73612,784710,784497,-1,-1,227841,72305,-1,-1,-1,502247,935599,-1,-1,651813,-1,689913,-1,-1,726454,163387,839479,176739,-1,-1,176215,830031,412404,604505,-1,-1,376852,-1,402090,-1,-1,112340,126492,-1,-1,-1,-1,-1,866092,402473,123580,-1,-1,573251,-1,967269,-1,-1,-1,-1,-1,958641,-1,907158,867631,506424,36835,-1,609340,634860,-1,-1,-1,-1,-1,558404,-1,-1,614010,-1,-1,911258,-1,78692,428549,-1,976381,785212,595505,25607,435674,-1,-1,755524,-1,-1,139120,-1,998619,268150,-1,521446,76690,133472,-1,-1,-1,-1,800906,736958,602730,-1,-1,-1,-1,605481,473074,882790,-1,-1,-1,-1,147914,-1,6660,134045,741829,730798,455692,-1,-1,676957,386158,-1,-1,452095,794651,-1,390952,-1,-1,-1,360027,547268,361297,152686,-1,924117,-1,-1,877368,-1,499795,609180,130868,692292,306024,-1,413174,467483,56948,581229,-1,817697,-1,500808,-1,548557,331452,670473,584986,-1,-1,-1,-1,-1,695133,818372,-1,709245,889578,300689,-1,-1,729017,544522,-1,-1,-1,-1,808558,-1,-1,685435,-1,-1,174584,564421,982193,-1,607533,879540,-1,-1,-1,-1,-1,-1,888081,-1,-1,714072,-1,-1,700579,-1,-1,-1,203817,-1,-1,-1,-1,-1,419012,-1,765901,-1,-1,-1,275291,-1,-1,365872,942302,684218,397196,-1,279890,-1,-1,-1,-1,755516,89351,-1,-1,459309,441123,568318,-1,-1,-1,-1,-1,-1,827616,572491,718210,-1,215856,3460,-1,502873,-1,235968,875579,988562,-1,517301,-1,614169,-1,-1,944200,-1,465264,-1,921161,-1,-1,691049,410510,-1,-1,271376,919201,685611,956451,-1,156267,-1,-1,-1,447312,-1,137800,942787,-1,830261,172772,896762,-1,885629,-1,73113,268972,970287,86740,-1,711030,731430,-1,613147,-1,-1,828350,-1,677854,-1,-1,660479,-1,-1,-1,563632,-1,435035,-1,131029,547307,-1,492094,954964,617278,-1,341314,733445,-1,83006,-1,748773,63736,-1,151310,418115,537051,-1,720447,-1,-1,857033,-1,910834,-1,-1,-1,948270,-1,949083,-1,-1,22820,-1,778635,-1,-1,-1,171597,-1,409919,588552,-1,-1,-1,585657,-1,-1,120728,-1,666128,967073,927661,139595,427220,-1,203854,714595,-1,-1,539781,728057,-1,-1,848933,-1,188784,362903,282667,200623,735868,937370,-1,-1,-1,-1,327978,835248,-1,21188,613241,-1,-1,113487,-1,206563,-1,499888,-1,-1,-1,771145,495670,-1,630053,-1,-1,-1,633998,-1,150551,56495,377905,302344,323814,137570,-1,-1,-1,622405,380606,-1,748238,-1,384351,-1,419483,-1,-1,-1,930315,933256,575600,793435,36005,284686,-1,579692,-1,987602,-1,424431,-1,-1,993762,-1,-1,-1,434118,-1,-1,238422,84136,861032,-1,220281,119243,-1,-1,-1,-1,-1,-1,-1,-1,439496,-1,206408,-1,-1,-1,91681,-1,-1,-1,18262,-1,162319,-1,-1,970644,-1,88513,451828,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,307,-1,-1,-1,377401,364506,474376,-1,487039,-1,-1,-1,-1,-1,977282,641355,118955,215725,-1,-1,-1,-1,-1,966670,-1,558162,-1,209369,-1,90954,749814,242608,-1,-1,45424,186990,338902,-1,386078,693789,864341,607007,-1,791439,-1,-1,558196,925108,895990,410412,314367,168628,-1,899825,-1,-1,955880,98132,883517,296687,263202,-1,864816,-1,-1,67640,-1,411104,714309,326410,-1,647061,-1,-1,-1,798732,591773,955246,308165,652994,-1,-1,-1,900575,705451,-1,870132,596985,-1,574741,-1,844854,-1,-1,64833,956485,-1,329722,-1,-1,-1,-1,480966,-1,-1,1326,-1,-1,998300,327496,746378,-1,-1,-1,-1,525837,349839,-1,985608,778927,-1,550545,586309,524083,741973,729473,-1,726268,544909,533973,-1,-1,-1,-1,191387,307796,-1,-1,87808,-1,-1,-1,26209,-1,-1,-1,347087,918392,-1,-1,610725,-1,767275,145594,846631,-1,-1,-1,-1,170883,842476,-1,-1,206568,653795,-1,643707,-1,-1,783849,135671,95658,-1,-1,-1,-1,-1,859239,615578,747469,933816,815151,49177,337026,-1,-1,-1,135278,258972,418152,170321,188582,872930,-1,750032,-1,-1,-1,599107,-1,230129,-1,-1,361968,-1,-1,615607,892979,-1,914816,520652,-1,-1,97544,-1,-1,116086,351693,-1,-1,-1,174116,-1,812840,-1,774316,-1,-1,-1,-1,-1,-1,998642,-1,57285,-1,-1,188216,-1,156166,682818,-1,-1,-1,-1,496317,197890,-1,799058,557990,-1,-1,395614,312228,-1,585872,-1,-1,500630,-1,-1,869964,-1,-1,203683,-1,931654,-1,-1,-1,733538,-1,621739,42528,-1,721114,-1,83918,-1,648661,640089,380347,-1,24305,-1,-1,274363,504690,890717,-1,-1,620224,441958,369308,665702,-1,-1,407680,-1,-1,905023,-1,830460,-1,291166,396328,669703,-1,27854,-1,422262,613344,-1,-1,965212,273961,-1,-1,226713,-1,995525,-1,-1,-1,82470,139073,979239,16315,472421,613968,145992,-1,-1,747980,-1,243103,-1,121486,373318,92101,-1,-1,203907,-1,159922,-1,309191,-1,753961,-1,864107,825630,-1,768425,-1,-1,387758,291033,857697,-1,-1,-1,-1,-1,934427,122049,-1,535956,918846,-1,-1,234268,-1,27106,93006,-1,-1,-1,217959,-1,641667,303860,381165,769498,-1,-1,376909,862376,793630,-1,547059,-1,-1,-1,-1,643537,-1,-1,-1,734495,-1,-1,875397,702040,-1,545898,-1,-1,957626,401411,-1,-1,396851,-1,-1,965047,526332,472536,127310,-1,-1,58311,190712,934790,495711,350880,312969,897675,649009,-1,953603,-1,498312,-1,922144,42491,42342,-1,949452,503150,814916,-1,-1,-1,426713,744579,-1,299449,-1,-1,-1,335104,-1,-1,-1,-1,309363,-1,431777,-1,-1,-1,482826,-1,51015,-1,-1,-1,-1,639555,398174,-1,997721,265637,-1,175120,350443,821218,467889,-1,621252,23452,960706,-1,-1,610011,-1,725089,-1,-1,294258,-1,-1,615015,359075,-1,60531,-1,-1,893212,-1,248993,780843,696533,-1,483929,940671,440992,-1,-1,-1,234044,918569,-1,-1,966139,840238,479459,-1,460542,635810,55168,474545,-1,-1,-1,689582,881750,-1,654826,-1,-1,949130,892755,410592,-1,-1,589372,-1,-1,999451,-1,-1,-1,-1,-1,-1,841866,-1,-1,-1,23541,472363,486045,-1,714698,384120,-1,-1,719434,112151,713804,-1,-1,515368,-1,-1,915651,-1,228955,-1,16608,147585,845790,977407,-1,-1,6629,-1,390305,-1,948881,-1,382928,-1,489064,146413,-1,-1,-1,67629,8195,968639,-1,60386,86131,261124,-1,-1,-1,450566,-1,313154,236644,-1,-1,-1,392697,347871,101959,-1,240730,-1,958328,-1,236168,192717,-1,-1,928952,-1,-1,843763,615954,-1,921143,-1,730450,-1,515853,-1,-1,799172,-1,-1,916107,534793,869893,763679,958051,-1,-1,-1,125899,836741,190327,652005,822412,-1,-1,808568,437743,846337,-1,-1,134918,265075,718663,-1,-1,-1,290624,-1,735974,975504,-1,-1,274565,-1,617349,463204,795721,122941,-1,-1,739932,338988,199345,712592,399879,46410,-1,15732,551337,501408,-1,187875,-1,-1,-1,20625,-1,432431,920354,-1,924923,-1,401460,751844,-1,540114,-1,-1,-1,754571,-1,-1,993163,943915,729707,976727,781741,-1,118815,38610,-1,-1,337676,-1,54625,-1,110030,-1,-1,-1,865289,-1,-1,-1,60889,247281,236182,-1,449842,-1,549708,-1,-1,-1,-1,338026,-1,-1,-1,3589,-1,-1,-1,-1,-1,-1,-1,207747,-1,-1,-1,239485,563459,331633,-1,-1,861765,787569,-1,946264,547633,919922,-1,405775,120520,247470,-1,-1,-1,679634,697743,83879,422607,-1,202310,-1,-1,53916,518699,-1,-1,-1,-1,-1,-1,-1,923657,-1,-1,517523,728762,222732,-1,775017,32767,-1,-1,254390,831124,-1,36295,77589,306154,-1,-1,415704,-1,-1,-1,775030,-1,676765,-1,537341,-1,527452,970062,-1,-1,246867,138399,-1,-1,-1,457431,-1,298471,-1,-1,-1,419076,37113,714232,-1,971132,411834,-1,-1,807553,89206,-1,210000,-1,596659,526212,596962,-1,700529,-1,893453,743926,-1,848625,-1,552830,-1,850827,432389,677560,-1,-1,864821,-1,547541,118982,-1,47052,125131,-1,-1,983221,7244,550988,-1,404204,855825,260716,-1,296458,281358,-1,718115,329315,777833,944844,-1,262037,239444,771275,647256,488390,-1,-1,886238,457190,566429,518132,193805,-1,-1,-1,499122,-1,26735,677194,-1,35611,914003,-1,-1,-1,98337,-1,748201,125714,-1,151648,635703,343133,-1,504122,988471,-1,961794,275204,-1,-1,-1,-1,645381,-1,-1,-1,894405,-1,-1,385097,828230,-1,971962,778403,-1,910532,-1,669177,464751,619448,-1,357504,359649,-1,-1,-1,344250,-1,-1,-1,-1,143193,-1,-1,598860,892242,-1,297973,-1,939518,786155,-1,471326,-1,234332,432282,-1,602872,140946,-1,857540,437435,-1,-1,-1,465831,-1,425733,759623,-1,-1,193437,-1,119738,926163,358173,-1,216272,-1,527837,628741,291489,-1,917180,523793,413410,-1,425725,877079,-1,372578,-1,479631,-1,488840,-1,-1,-1,516475,-1,-1,-1,-1,-1,137769,931568,812467,-1,-1,965162,-1,55209,-1,691314,896615,-1,-1,86537,692935,770975,880431,44420,-1,232157,128992,155890,-1,-1,-1,-1,285459,888581,323655,258486,872569,228159,-1,286240,-1,60057,68421,-1,-1,-1,-1,-1,552476,39378,-1,539031,74313,820062,-1,-1,940692,943710,212950,-1,703573,-1,-1,197785,880419,-1,-1,-1,151997,180172,779603,636961,-1,-1,433508,782694,223995,609018,-1,-1,322887,149847,675186,165485,611988,13828,368527,706596,41308,482639,-1,304811,323895,-1,-1,-1,321610,133786,-1,895215,-1,-1,-1,976307,132041,891005,-1,141668,542231,-1,-1,779497,-1,-1,-1,238505,-1,-1,-1,908541,386836,12955,374539,-1,405949,-1,372645,-1,-1,490996,-1,-1,-1,324072,-1,-1,-1,-1,829924,-1,-1,-1,-1,602390,62985,361508,-1,-1,-1,4094,243389,-1,738523,-1,494006,550361,-1,799115,685260,912379,358985,150321,-1,636862,-1,281998,-1,-1,-1,-1,428065,-1,-1,-1,-1,908512,-1,881091,-1,-1,763206,-1,-1,210705,-1,-1,71782,267746,-1,31143,-1,-1,-1,144670,-1,-1,-1,-1,-1,-1,-1,-1,10342,40819,156743,-1,-1,-1,-1,221768,-1,535850,326659,940137,-1,-1,-1,-1,-1,576092,70568,-1,958369,683501,826039,468529,926751,-1,-1,-1,-1,-1,-1,949260,236226,-1,444216,-1,309974,111047,218028,-1,798770,-1,653335,247079,459606,-1,736872,-1,-1,-1,948739,-1,-1,649968,178435,-1,663400,509374,-1,-1,-1,-1,-1,123982,-1,718841,-1,-1,526350,-1,447005,396746,-1,-1,748889,-1,611873,-1,448786,-1,686183,120333,471150,-1,-1,-1,-1,-1,746008,-1,98681,-1,-1,-1,414363,569779,814540,727086,-1,-1,-1,690246,350002,111407,476922,54306,545407,-1,759643,-1,-1,-1,784292,526570,-1,-1,29007,-1,694202,871117,-1,906027,142032,-1,216750,225920,-1,-1,624359,595097,978015,-1,-1,905009,-1,-1,-1,810269,-1,921015,-1,80698,101102,393616,-1,-1,-1,117379,261253,-1,-1,967510,163258,-1,840644,-1,-1,-1,-1,-1,287553,-1,-1,385997,-1,-1,826927,-1,967148,930697,887050,510924,-1,-1,-1,-1,-1,-1,464797,212324,225071,147690,818612,-1,-1,651127,940526,-1,-1,444618,-1,133912,-1,51065,7562,-1,-1,-1,-1,972711,-1,657464,-1,-1,553487,948833,359010,-1,57218,-1,-1,-1,447377,161248,681459,-1,504930,743028,-1,889476,418577,-1,-1,822214,-1,564232,830083,601245,-1,-1,627912,775691,-1,786143,-1,-1,-1,439210,893582,-1,-1,-1,-1,-1,559303,-1,96557,744055,47965,-1,-1,-1,-1,232789,-1,197200,105159,-1,-1,-1,212373,-1,-1,857294,-1,-1,811426,937639,734462,160876,-1,919114,661286,304975,-1,-1,-1,35321,942788,-1,120902,435760,28572,-1,954179,-1,-1,-1,575235,853862,-1,-1,773258,-1,964050,-1,416415,-1,781173,178289,955469,369462,-1,-1,822800,51324,844567,377909,-1,-1,836722,664872,-1,-1,-1,-1,320048,408517,-1,-1,917771,633831,-1,-1,348500,-1,-1,-1,193531,572990,325087,868100,464293,-1,-1,587477,-1,-1,-1,-1,399627,577294,-1,-1,-1,-1,346405,935389,539544,994904,753689,-1,444721,349341,-1,862206,-1,-1,139684,-1,213125,-1,-1,-1,692207,-1,-1,248902,-1,833603,-1,-1,-1,193030,737535,450110,-1,989598,-1,-1,-1,-1,-1,421419,771605,-1,-1,915532,-1,782144,962654,-1,-1,76349,676022,20123,831929,70864,-1,-1,-1,279419,701975,-1,554045,-1,-1,-1,591222,868235,114801,-1,-1,-1,303604,523699,-1,215286,561079,-1,-1,-1,-1,-1,963746,-1,-1,218858,-1,-1,646096,878800,267379,-1,-1,904162,-1,-1,495539,-1,-1,-1,918699,-1,804710,-1,-1,-1,-1,593203,41347,348262,959394,-1,-1,-1,-1,-1,183041,78705,-1,832500,-1,282614,497484,-1,-1,241266,-1,883313,-1,934563,-1,540758,-1,568917,-1,-1,-1,752633,-1,199676,393668,603892,-1,-1,176771,-1,-1,-1,-1,-1,-1,-1,-1,916189,-1,837761,-1,388503,-1,332134,-1,-1,-1,-1,-1,-1,447942,-1,836492,222223,869050,581896,-1,473016,-1,935067,-1,-1,571768,226067,-1,-1,-1,-1,-1,231813,892236,322125,813129,-1,-1,-1,780225,420996,-1,-1,934943,-1,315819,919583,327750,765162,507544,-1,657153,-1,-1,-1,-1,-1,-1,236877,509306,-1,-1,150535,675346,-1,-1,-1,85542,-1,38464,-1,-1,559239,564758,380055,330175,-1,-1,-1,370645,-1,-1,965627,484598,-1,-1,135379,257909,-1,-1,-1,863870,-1,784572,597900,-1,-1,-1,-1,748612,-1,684961,135817,-1,359461,-1,-1,528841,-1,-1,-1,412104,-1,488619,-1,775879,-1,-1,-1,139645,650096,-1,-1,-1,85878,-1,-1,400615,875828,553986,-1,-1,822262,-1,-1,-1,830089,154709,-1,82874,-1,-1,-1,25069,-1,7116,-1,-1,-1,549768,-1,962406,747981,152351,840432,-1,581222,116271,-1,892878,480932,-1,-1,-1,-1,340413,839245,866234,-1,-1,-1,-1,931161,565777,761794,107721,264879,-1,107264,-1,101413,-1,-1,-1,-1,594250,-1,-1,-1,-1,414204,-1,980398,-1,-1,797047,658349,447572,499281,291863,-1,-1,395991,-1,144864,294690,-1,-1,-1,965716,-1,-1,928489,-1,-1,543743,60408,384969,113065,219895,717502,299939,-1,-1,-1,532609,-1,-1,-1,-1,-1,424386,-1,445282,967927,798334,206662,-1,-1,-1,23782,-1,720422,618562,-1,638729,-1,-1,155597,-1,-1,25109,231061,142158,-1,-1,938479,888051,-1,-1,-1,-1,-1,-1,210973,-1,90719,918285,808096,350868,-1,-1,41685,755025,-1,-1,-1,42979,679280,-1,-1,398147,-1,21641,500149,-1,-1,579243,654605,-1,-1,587463,-1,-1,725304,891880,297024,-1,-1,-1,742628,326987,-1,-1,-1,-1,-1,418005,957725,-1,136206,-1,464360,716100,-1,209183,-1,723806,198043,-1,598463,-1,-1,978199,-1,999577,771348,-1,-1,-1,419261,-1,246568,377617,-1,-1,-1,627675,532841,900899,-1,811694,838992,-1,975533,647415,780089,726432,-1,-1,-1,-1,-1,9342,429580,400892,-1,146995,-1,-1,-1,-1,269342,-1,696283,-1,-1,-1,-1,-1,172181,-1,601581,527810,697583,627293,-1,-1,350428,-1,299157,986541,212622,828217,168288,700954,-1,-1,236293,-1,177218,-1,-1,-1,-1,476377,-1,99112,669685,463893,-1,641612,244257,20044,179726,355457,634217,831072,-1,-1,-1,-1,-1,535201,-1,765480,151360,131689,244140,175175,585188,-1,-1,451708,767160,298393,-1,-1,8103,291714,699208,59814,426342,-1,-1,308276,619216,483150,-1,-1,-1,331237,-1,-1,61466,112643,-1,-1,572020,-1,-1,177846,-1,19297,-1,444657,-1,-1,758990,582538,-1,190559,-1,-1,225903,-1,-1,-1,-1,559088,125,-1,-1,108332,-1,-1,-1,-1,803896,-1,132746,-1,-1,236837,638067,402682,-1,-1,751954,-1,140603,-1,63010,-1,64799,-1,-1,-1,-1,-1,-1,-1,95327,-1,409879,-1,-1,328813,749673,988739,-1,906028,-1,-1,-1,-1,-1,-1,-1,-1,214534,595527,-1,-1,-1,-1,-1,954284,-1,629549,-1,853718,-1,-1,-1,-1,-1,-1,794048,-1,-1,944106,-1,279038,-1,-1,-1,11645,-1,435014,44672,853983,677467,-1,303208,-1,618800,-1,-1,-1,-1,-1,720990,236356,986254,-1,-1,-1,218125,-1,948375,-1,-1,680150,-1,243338,-1,165596,-1,799587,637072,949235,-1,725460,-1,-1,418486,219293,828733,-1,861229,-1,-1,79584,374886,-1,-1,-1,-1,528081,-1,-1,23701,-1,-1,454677,212161,-1,-1,896818,-1,66989,-1,851163,-1,-1,422067,-1,-1,-1,851775,517933,-1,588474,-1,567735,181766,-1,-1,214759,-1,-1,235586,633218,579198,-1,-1,670477,-1,-1,200997,841043,-1,-1,282936,-1,364070,-1,-1,-1,-1,-1,-1,654383,-1,433228,-1,-1,633048,133119,157566,210005,4194,-1,-1,198370,745783,-1,-1,446765,86884,540329,-1,-1,-1,-1,-1,833574,81848,-1,541082,285535,342362,455922,53749,-1,71053,368331,-1,599654,779891,-1,-1,-1,766293,-1,913140,-1,-1,-1,286801,-1,829852,680023,-1,-1,178008,520823,702402,829935,-1,-1,-1,-1,248130,884766,-1,-1,-1,-1,843871,923997,-1,222343,927787,-1,146538,-1,782935,-1,-1,-1,-1,160788,773411,-1,-1,625952,-1,-1,-1,-1,-1,255917,-1,341890,738063,978381,-1,-1,126935,767144,-1,630090,771334,-1,980535,394014,-1,-1,304103,-1,190826,122167,-1,489306,608853,-1,48564,992808,-1,776308,111763,-1,876684,717601,833355,-1,132048,567346,673993,-1,-1,761739,726479,454286,407571,849946,-1,-1,-1,319854,-1,828505,-1,589995,423289,-1,183756,819092,961813,-1,947226,-1,434171,-1,-1,296205,911544,113541,454053,-1,703654,-1,-1,865168,-1,-1,-1,935261,726628,-1,232152,2278,388769,-1,314976,934464,-1,413306,-1,120624,429611,-1,90972,-1,793511,989036,-1,486506,368104,566252,-1,-1,-1,627812,351032,-1,-1,-1,54590,-1,396051,479373,-1,479355,-1,-1,-1,-1,-1,40353,-1,-1,859158,999409,62820,267785,-1,-1,447841,274529,-1,-1,469748,426158,535697,468166,596126,298809,128516,10620,-1,-1,83198,-1,228685,-1,655529,-1,-1,605715,738902,297498,989282,483082,236762,-1,-1,478386,-1,-1,-1,234869,-1,-1,18162,897573,237728,198738,416978,-1,-1,653845,-1,-1,650164,147547,-1,-1,974092,274700,576261,271587,467272,492399,-1,181479,-1,189165,-1,-1,-1,680742,-1,428476,-1,-1,293875,-1,696036,354394,105505,-1,-1,-1,122618,-1,97500,664494,-1,218035,-1,-1,-1,-1,-1,438578,883150,102714,-1,-1,726073,-1,-1,549006,-1,79750,290710,610745,-1,-1,716253,-1,-1,-1,-1,794684,286084,-1,-1,302297,-1,516884,375794,-1,-1,285840,212783,51990,-1,-1,-1,-1,-1,-1,-1,-1,-1,795491,-1,929079,-1,598824,-1,759936,-1,-1,169200,-1,15953,462111,-1,796039,727185,640697,65624,-1,950098,-1,686163,-1,-1,678037,273516,67256,-1,661505,-1,743264,252447,676464,125725,-1,19151,-1,-1,131427,-1,-1,-1,119034,-1,283805,453264,-1,-1,46373,-1,-1,191045,-1,-1,921545,278408,-1,-1,-1,-1,-1,197174,-1,219017,-1,-1,102318,-1,213738,798029,-1,-1,-1,-1,213935,-1,223353,-1,766168,462696,-1,827508,-1,-1,192019,-1,84113,706613,-1,88872,-1,82428,-1,-1,832736,-1,-1,951580,-1,633950,16568,350341,-1,-1,-1,-1,-1,-1,352164,-1,-1,469602,-1,907470,642908,867529,864044,211086,368834,409378,196969,-1,-1,-1,263081,80271,473428,914488,311838,133448,-1,-1,-1,590736,843136,479937,372266,-1,947016,-1,-1,115596,602851,-1,-1,631587,-1,778099,-1,284231,364752,775825,983768,-1,-1,-1,213466,417233,353734,976090,547594,-1,476567,-1,-1,-1,349500,-1,-1,-1,936388,952014,365999,500187,-1,828917,-1,805793,-1,731179,816249,780635,-1,690080,741372,685839,587487,151082,367491,-1,243962,860353,-1,-1,917853,-1,-1,-1,641220,-1,-1,735765,-1,109169,-1,203960,-1,-1,-1,291187,-1,464667,306440,414693,296930,691725,61519,252664,-1,649124,-1,662902,-1,-1,-1,240618,-1,88346,744293,-1,-1,-1,901264,319260,-1,-1,533016,-1,884842,551116,-1,-1,513737,436917,801004,-1,-1,117730,-1,330534,-1,267553,-1,533377,-1,724125,60093,160863,-1,-1,797104,-1,-1,678645,621750,358897,-1,438552,-1,242239,781413,-1,-1,153774,-1,-1,955315,348370,430776,-1,-1,334089,-1,654131,-1,-1,500725,561838,-1,283840,-1,739636,-1,-1,-1,963243,-1,-1,-1,-1,-1,501380,-1,-1,-1,449680,-1,-1,-1,-1,-1,993606,-1,518862,551712,701911,878985,941116,-1,399196,133271,368890,821757,-1,795086,-1,-1,51682,-1,626514,765395,520632,-1,-1,-1,452321,-1,-1,-1,-1,470498,762655,-1,-1,839937,643355,72320,966648,-1,-1,698479,727829,921799,-1,-1,-1,-1,452750,910876,-1,-1,600587,872987,-1,-1,-1,483655,193846,157901,873629,-1,-1,557951,578307,94475,181902,-1,93303,477339,361501,544797,-1,406402,-1,156351,442387,339289,584307,-1,76553,-1,-1,-1,-1,384872,-1,567654,-1,216109,-1,-1,-1,757556,-1,321662,354529,649363,79243,-1,-1,451056,654221,-1,197899,-1,-1,255935,-1,980099,-1,55790,-1,410528,-1,-1,-1,-1,-1,-1,250798,-1,-1,-1,900901,508947,399080,715242,158688,-1,730350,-1,-1,-1,717172,-1,211420,-1,-1,13373,984218,-1,399544,-1,301683,450518,-1,346337,197521,821554,-1,383953,495170,-1,-1,968373,-1,441957,-1,-1,867606,-1,-1,929995,-1,-1,762888,-1,-1,-1,-1,-1,480700,-1,-1,-1,774118,968446,427440,-1,-1,444159,172233,248595,764201,406548,-1,-1,-1,-1,-1,-1,-1,-1,821840,808805,250139,-1,-1,424184,-1,-1,-1,-1,-1,430266,-1,-1,-1,-1,-1,410428,504286,413962,169588,-1,340812,-1,210675,312495,-1,-1,-1,-1,-1,-1,-1,-1,125519,849076,-1,-1,899474,362934,-1,19511,-1,271507,-1,-1,912998,-1,-1,136971,-1,-1,-1,51174,-1,641072,-1,-1,-1,592368,-1,-1,905782,-1,513544,-1,69527,-1,-1,-1,336288,-1,-1,210285,-1,-1,-1,576080,-1,699247,-1,-1,-1,639929,498375,-1,-1,-1,-1,124891,55789,946730,-1,84782,-1,1435,142088,680442,-1,678269,-1,-1,977066,341025,-1,-1,509146,945522,49648,82953,-1,526386,856301,793602,-1,257292,-1,686315,-1,899028,-1,176325,247482,-1,-1,-1,-1,-1,-1,-1,-1,205092,-1,181043,526058,-1,622292,-1,-1,-1,544483,-1,678835,-1,-1,858308,2876,998010,-1,-1,-1,836444,-1,594838,580489,-1,897052,-1,622784,-1,112665,-1,659476,-1,709825,557208,475032,-1,819919,602176,-1,259693,748034,401709,-1,105520,-1,-1,-1,389383,-1,559453,-1,-1,740367,715620,38335,637250,-1,-1,-1,852320,644915,185501,845195,27902,38773,-1,-1,135589,398176,353560,712212,814670,-1,570903,-1,416326,281151,776163,-1,-1,998471,561614,555284,-1,-1,-1,717506,-1,-1,-1,-1,543763,500259,-1,963890,-1,377058,-1,922838,442978,216119,-1,385350,-1,-1,465781,986380,524423,926229,619170,-1,176766,-1,204167,-1,486429,-1,332652,475179,611326,333454,560097,338662,-1,-1,587172,-1,876738,478558,720129,682350,789638,46467,898110,-1,-1,815488,-1,-1,51229,697359,359510,944084,-1,-1,-1,-1,272314,-1,427261,-1,542694,150132,460581,722676,-1,-1,698828,329640,65577,-1,-1,-1,794118,-1,-1,-1,-1,29963,-1,875689,841636,-1,856588,-1,-1,-1,-1,-1,25876,-1,-1,626238,-1,921087,686077,-1,839050,446716,662202,-1,-1,-1,561326,-1,-1,387711,422996,-1,128091,431080,323874,330603,-1,881840,709139,-1,733694,934176,93647,-1,-1,906212,-1,-1,963328,-1,-1,438780,43454,617502,-1,909086,236858,-1,-1,441091,-1,625169,81509,553057,123168,-1,644588,-1,862286,-1,738335,-1,-1,-1,-1,14973,-1,-1,875471,-1,-1,-1,-1,110691,391116,574101,874071,288765,-1,282591,-1,857473,-1,759221,177316,-1,-1,-1,-1,600550,913238,935364,917389,131702,838668,641189,-1,-1,287899,-1,665123,957260,529135,-1,-1,757910,703423,771992,206667,178843,84730,-1,-1,-1,943167,361017,204496,-1,266570,182181,709964,-1,-1,443047,-1,74387,-1,-1,687455,-1,-1,-1,-1,-1,131681,-1,-1,-1,739886,-1,949505,-1,326725,365618,670256,-1,-1,48339,-1,-1,-1,-1,966725,-1,280137,753402,-1,-1,347488,323570,-1,-1,-1,646281,-1,-1,962462,-1,616864,240536,448910,-1,144314,450202,10164,-1,370109,-1,298779,704867,623931,-1,64085,-1,-1,949688,-1,-1,504781,242122,940515,-1,593802,762018,990274,-1,-1,-1,725120,-1,-1,-1,741874,919848,382757,-1,-1,527966,356164,-1,-1,-1,154891,-1,-1,860041,-1,860211,-1,-1,-1,708161,-1,-1,-1,-1,645705,-1,874163,-1,-1,-1,547995,681774,615469,892356,-1,130380,317169,915610,812094,-1,511727,604632,-1,915240,351527,144151,-1,333856,581089,715271,156548,219367,-1,-1,278068,580942,-1,197102,994699,882532,-1,620326,127135,-1,-1,31018,10360,628276,194752,977412,593645,-1,983100,868229,-1,486443,619506,-1,852834,943448,743608,-1,-1,-1,-1,-1,420719,-1,-1,8425,-1,-1,378024,340804,826673,555847,681065,321527,-1,122885,479549,-1,193862,588692,753944,-1,478064,423154,525735,-1,844371,-1,559271,25385,-1,554907,758358,-1,279848,-1,-1,-1,-1,897595,506810,-1,623596,-1,253283,-1,99052,-1,-1,155968,-1,661646,-1,-1,-1,-1,350942,996862,-1,-1,-1,391224,784422,292595,-1,-1,-1,557175,103698,246423,-1,251233,-1,588225,598338,343906,-1,-1,-1,-1,159988,-1,-1,-1,448726,409043,-1,-1,57159,554326,-1,-1,996298,965997,-1,-1,-1,619127,-1,481647,-1,991998,-1,-1,-1,92577,358176,-1,308008,851220,567863,-1,763666,-1,-1,-1,308524,-1,-1,41572,-1,-1,207617,432715,81947,569188,95844,-1,245142,385838,-1,-1,-1,524583,790785,-1,420696,-1,729253,-1,475877,922941,-1,372651,251456,377273,97222,-1,-1,830055,343178,767261,188479,-1,-1,-1,28124,-1,-1,-1,620270,444323,534996,-1,-1,859585,612042,-1,-1,-1,-1,-1,-1,-1,-1,34123,-1,820846,214099,989296,103463,-1,515674,-1,472339,259898,-1,-1,238233,-1,-1,-1,-1,-1,335460,-1,756836,11586,-1,225216,986883,-1,849073,238621,980460,720310,914953,839913,141282,923951,955303,158220,766279,-1,-1,-1,-1,265941,690485,981406,-1,-1,595037,-1,-1,-1,965758,-1,239724,115331,-1,-1,708737,97420,836092,-1,-1,-1,870200,228982,634400,398248,-1,-1,-1,722404,754426,981397,-1,-1,351631,936109,468207,-1,-1,-1,460277,-1,-1,155700,-1,-1,-1,953894,-1,532952,324112,109796,799061,460673,-1,-1,213058,-1,-1,-1,672785,961573,469561,-1,39507,32953,-1,566187,514255,256945,-1,-1,671235,212840,144021,-1,750740,926382,593047,-1,-1,331432,983644,382530,778503,702578,460876,-1,-1,56534,-1,966296,-1,-1,600038,502648,-1,-1,716907,844395,838043,786444,687115,-1,754314,560296,-1,-1,-1,449216,253470,712477,-1,-1,-1,-1,208964,-1,810042,122748,524672,970179,743812,-1,995894,-1,268669,193479,-1,577371,-1,663953,-1,-1,-1,437335,-1,-1,-1,177962,-1,-1,-1,607604,-1,-1,-1,4602,976119,-1,520559,-1,-1,83295,329426,657228,-1,487402,178929,-1,-1,-1,926686,-1,671856,-1,-1,606961,494641,407482,672877,221200,123759,-1,721271,-1,521036,-1,-1,-1,-1,54259,774910,830092,913923,-1,244515,188235,-1,-1,-1,-1,144476,15268,-1,255545,-1,-1,-1,-1,-1,481372,-1,971364,-1,26019,-1,-1,412511,262758,-1,335611,-1,691154,-1,643548,-1,685097,-1,943665,-1,648601,-1,266681,83442,-1,-1,-1,-1,844105,562248,-1,861440,-1,-1,-1,211773,75505,-1,587087,-1,391951,-1,40674,963982,594311,-1,569675,639718,629924,502928,-1,-1,-1,-1,476008,284284,338835,-1,755853,-1,-1,888319,-1,-1,-1,-1,-1,-1,328849,-1,-1,492179,-1,27947,-1,-1,-1,-1,-1,10530,953283,-1,-1,-1,838544,-1,-1,-1,631801,-1,-1,100984,838606,50294,209869,553880,-1,488440,-1,-1,-1,304832,-1,-1,-1,28805,-1,-1,379483,-1,-1,-1,724515,961912,477151,-1,866104,985414,-1,190598,214065,68511,23247,670218,476989,383042,-1,997927,-1,-1,-1,-1,595351,261064,782982,-1,-1,-1,85265,74049,572529,536799,-1,-1,-1,-1,-1,430267,363484,729903,-1,32010,943038,63171,-1,-1,303991,-1,37664,413956,-1,-1,859283,-1,233023,167914,326302,904822,887842,-1,55736,720500,837294,-1,886819,500089,747317,-1,956263,54434,-1,47857,789876,802526,-1,663908,497093,539616,-1,386259,546080,75650,-1,564735,-1,-1,-1,357203,442588,-1,626734,321523,-1,-1,42687,-1,352934,-1,568640,927977,363746,861502,360105,-1,434091,-1,-1,336919,-1,113528,946223,-1,234597,-1,962074,-1,-1,528507,167525,-1,560328,-1,-1,512661,-1,195143,-1,-1,253857,-1,749044,305042,-1,-1,27468,592753,965985,-1,32092,-1,-1,557241,331443,454217,310822,157465,884576,179197,188312,366741,-1,111414,555023,-1,579067,-1,892432,-1,913608,283931,-1,604338,-1,-1,828615,-1,991101,-1,89132,-1,-1,-1,541001,879401,105164,-1,-1,545464,654702,67238,-1,-1,428284,941916,3346,800311,700036,43128,175953,-1,126543,-1,585334,-1,71911,664606,14066,583239,357196,-1,-1,-1,-1,-1,-1,-1,830231,-1,-1,-1,-1,-1,-1,-1,168569,165437,-1,880461,-1,-1,-1,-1,-1,-1,-1,-1,300419,502800,-1,-1,716256,-1,517879,236499,135267,362158,240006,-1,-1,-1,1012,143825,684770,555048,957277,-1,-1,542200,278128,144766,-1,416087,236927,640707,-1,112673,-1,289107,989177,-1,-1,-1,915142,-1,-1,-1,838684,-1,874032,-1,-1,282894,259915,456916,539260,792876,-1,462416,446312,444006,-1,-1,951284,-1,-1,-1,833699,-1,-1,-1,455169,478313,649157,298808,156931,-1,-1,335508,50250,330028,-1,-1,-1,326106,-1,479370,-1,201902,629567,61005,-1,69928,825023,226228,821704,-1,136183,401566,-1,234440,-1,-1,871933,650968,-1,691569,488577,959889,-1,-1,-1,-1,-1,-1,300545,-1,-1,835905,240179,-1,225717,-1,201323,-1,-1,-1,-1,-1,368737,409207,478223,-1,-1,600512,-1,803747,-1,172016,115202,783534,-1,-1,-1,-1,677434,-1,558751,-1,5344,2921,-1,-1,-1,891433,300103,331360,-1,-1,-1,-1,463792,347544,292968,-1,-1,-1,-1,-1,361262,838175,347394,916215,-1,725926,-1,839217,867685,-1,-1,590657,299369,317219,707128,238408,-1,-1,-1,-1,715595,728263,-1,-1,743780,255682,412478,738530,422490,-1,352636,285723,17146,-1,-1,264808,854159,-1,228974,-1,809431,-1,-1,907742,262783,703146,-1,-1,566480,-1,-1,382846,-1,602057,145284,435236,491096,512770,-1,-1,-1,-1,428300,309331,-1,555985,531879,-1,-1,917171,511689,817539,718178,-1,-1,-1,867345,430874,-1,-1,711581,-1,-1,42055,83303,-1,-1,-1,934680,-1,-1,-1,310124,-1,-1,82945,681172,-1,-1,556160,222726,-1,527838,636960,-1,-1,659116,-1,-1,302975,-1,-1,-1,280234,-1,-1,532913,-1,-1,-1,10378,171373,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,667997,719381,254683,-1,159423,-1,770418,742406,710702,-1,-1,-1,-1,-1,599350,-1,987046,344537,-1,-1,-1,918070,-1,-1,705286,482819,-1,-1,236273,-1,620643,-1,-1,461737,172324,555528,-1,364783,-1,659270,532011,810331,302983,624514,-1,-1,435305,387709,119907,-1,-1,530615,211299,-1,124692,328698,-1,-1,-1,902416,436522,685329,-1,83361,-1,458116,-1,-1,-1,-1,-1,949910,625546,-1,-1,-1,-1,-1,-1,-1,-1,54866,470571,-1,873149,-1,308231,-1,-1,-1,-1,-1,176914,-1,937431,-1,313708,229276,140107,-1,-1,-1,371020,-1,-1,-1,810000,484136,844385,809469,535301,195056,439409,672312,-1,-1,667615,563409,-1,430899,581048,569868,-1,-1,-1,-1,805151,44528,107973,-1,311377,-1,-1,-1,841250,-1,-1,2509,-1,818243,-1,638298,-1,242250,169860,-1,12163,662756,669889,-1,187233,566056,31815,-1,-1,-1,-1,-1,-1,694573,-1,-1,671554,-1,-1,723827,-1,164408,-1,749610,686302,-1,-1,-1,495756,441609,-1,-1,671064,225738,-1,-1,-1,-1,-1,-1,550026,730086,-1,-1,323476,581558,-1,110585,714269,888533,219067,131826,-1,-1,294281,248951,155721,-1,-1,-1,363575,-1,389643,-1,-1,-1,-1,-1,557223,-1,898671,-1,767561,52763,768274,-1,-1,128662,617470,972563,-1,39706,-1,786826,534178,596168,616608,155417,31534,-1,-1,-1,253711,505386,682835,587897,-1,568442,202008,860714,876190,414807,-1,-1,811367,-1,520626,-1,-1,-1,752187,-1,-1,474921,695594,823356,-1,-1,-1,546009,-1,-1,-1,99165,-1,-1,749412,102370,702548,-1,-1,-1,458831,517490,-1,803636,849115,-1,629158,394752,-1,426472,928652,811136,-1,57857,912214,473141,216530,435235,-1,543245,133767,-1,643877,-1,-1,-1,169024,-1,666458,406488,-1,-1,49607,924060,829047,725680,-1,769841,-1,558855,113695,-1,503375,-1,-1,242633,219563,-1,155334,816327,739242,-1,-1,786911,-1,588984,755019,-1,-1,-1,291850,210754,445667,-1,-1,797029,-1,-1,82754,-1,-1,-1,-1,192086,-1,-1,505245,824353,406123,548769,-1,-1,947776,645440,-1,249438,-1,-1,158739,900661,-1,-1,-1,505356,-1,-1,107387,-1,-1,-1,-1,742113,625408,238762,-1,598564,418453,-1,-1,203266,-1,89435,285851,818848,-1,84345,357366,622916,352635,-1,5281,588982,-1,-1,683460,285590,808368,-1,-1,437365,797601,-1,-1,610244,203857,878607,467433,-1,469457,159696,-1,461427,34840,-1,-1,197642,155607,195365,526331,-1,-1,45772,415549,-1,427113,-1,-1,-1,-1,478593,-1,82755,165702,-1,450777,-1,-1,439151,-1,731080,-1,979749,479540,-1,175832,-1,-1,-1,-1,-1,-1,-1,780446,-1,595718,439955,566439,907546,721420,-1,650669,928761,-1,897405,-1,668388,741428,-1,349719,-1,-1,972047,916701,-1,935958,84932,-1,906731,199859,-1,-1,-1,927254,-1,-1,-1,413749,-1,-1,122428,-1,99829,243380,-1,466049,-1,764030,755093,942862,-1,-1,-1,147797,-1,-1,-1,-1,-1,286008,-1,66071,-1,-1,72037,508211,740215,916152,583287,-1,826481,-1,466827,329440,345406,867369,-1,397535,342846,638924,855694,994698,-1,-1,285712,583667,919758,-1,47198,-1,388469,-1,-1,311238,609348,105449,433852,-1,-1,613865,445530,-1,520374,-1,282580,35819,700044,337518,-1,-1,69873,28581,613512,638589,-1,-1,-1,572984,877664,857177,-1,357383,406563,70090,213422,-1,-1,-1,327088,279751,-1,-1,240890,-1,-1,-1,103724,135347,151247,-1,-1,-1,-1,-1,-1,-1,34169,-1,-1,702433,-1,819941,802285,997857,-1,149878,65581,106647,873584,-1,6785,-1,-1,250132,564091,502701,-1,316326,143311,-1,-1,-1,950953,-1,-1,-1,-1,298864,750591,-1,346423,-1,494072,-1,-1,608193,757892,816305,-1,24909,-1,809792,-1,-1,-1,328125,-1,-1,6753,769907,334641,461070,-1,816174,-1,506818,733949,-1,874881,110742,-1,-1,-1,439858,-1,90375,-1,460254,110645,-1,-1,-1,-1,-1,-1,-1,-1,712605,712662,-1,448141,-1,-1,517777,-1,-1,-1,-1,749190,208313,-1,831122,-1,149299,692040,-1,797716,-1,-1,227475,770366,-1,-1,-1,613891,-1,-1,818445,-1,34070,340209,-1,-1,878240,-1,-1,997285,627639,-1,-1,-1,606786,-1,-1,-1,723575,-1,355206,-1,-1,-1,-1,944410,788673,-1,-1,-1,-1,-1,444509,535806,-1,-1,-1,-1,-1,-1,-1,692115,449382,760027,-1,-1,-1,-1,-1,-1,-1,-1,-1,134173,336569,398432,-1,-1,87917,-1,370555,997673,531608,635498,-1,-1,-1,636882,84996,-1,-1,253497,844565,-1,-1,-1,892029,316778,-1,-1,769222,834494,-1,910248,35499,738083,-1,-1,-1,87532,194516,254392,8153,819360,274433,-1,516883,-1,-1,-1,785858,130158,397988,609476,408267,534180,-1,-1,-1,563732,16880,852530,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,224152,766535,-1,396355,-1,-1,-1,68609,-1,2648,709813,108774,-1,-1,875731,-1,982292,-1,-1,97308,-1,-1,286875,-1,428511,196217,451772,-1,388933,997108,-1,-1,980430,-1,41587,840846,915554,157171,18843,-1,596877,-1,114272,852666,-1,46589,-1,-1,-1,757546,896738,772278,-1,-1,-1,-1,-1,-1,-1,-1,-1,821048,-1,-1,308462,352456,-1,689475,384931,-1,223342,790753,405238,113367,423484,-1,-1,-1,823577,301661,-1,719382,543865,-1,-1,-1,-1,-1,-1,189689,-1,3263,555516,234630,-1,-1,372641,446960,-1,764668,-1,-1,-1,792357,-1,995275,694345,371165,450672,477353,713131,271385,-1,-1,-1,-1,-1,-1,-1,-1,494431,-1,672836,611771,122174,-1,-1,336654,717860,-1,-1,879212,-1,695616,858628,-1,-1,835693,-1,363314,-1,-1,965213,382729,-1,-1,-1,573532,-1,-1,-1,145013,455681,442616,278376,-1,-1,-1,-1,602041,-1,461682,927029,800785,685072,-1,-1,-1,-1,207885,-1,264537,-1,-1,-1,-1,-1,165797,697616,837510,-1,42533,234055,-1,896167,-1,875199,-1,842066,947255,732708,842205,-1,861732,290147,-1,-1,455723,-1,-1,487452,-1,-1,451739,577926,-1,-1,877305,173569,715045,-1,575549,-1,740795,355785,845436,-1,562790,780948,-1,-1,-1,-1,-1,-1,870713,-1,712384,148022,960412,-1,-1,195270,478213,158249,-1,639888,850474,31982,830712,714940,-1,-1,195164,94590,93289,473046,-1,-1,211485,-1,436798,-1,477759,-1,993894,41052,-1,798915,248968,-1,681019,-1,-1,-1,-1,599903,-1,107225,-1,-1,409334,854606,-1,-1,454611,-1,912102,577829,-1,-1,106779,-1,-1,616830,357996,-1,794605,-1,-1,208924,-1,-1,421148,-1,-1,-1,501530,655731,162127,-1,-1,-1,536956,-1,757145,-1,-1,689314,617224,-1,-1,-1,175325,-1,529999,-1,-1,-1,906951,802047,-1,185367,-1,273362,-1,90729,-1,429255,-1,237377,948543,-1,632152,-1,-1,-1,642339,893672,-1,-1,385031,538466,857361,866344,-1,-1,-1,-1,395803,11264,-1,748080,315635,803469,-1,158193,-1,-1,328003,-1,130496,454539,-1,249037,840949,-1,420331,483839,-1,202833,859546,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,30161,418901,834014,993064,-1,230266,216054,961416,-1,-1,-1,996890,-1,-1,401499,248669,-1,266450,494346,-1,140636,856371,178630,-1,449476,946735,347310,464942,204731,389784,-1,-1,888839,-1,-1,590693,-1,-1,657206,878908,694682,602540,-1,89528,-1,346093,764961,-1,762071,-1,10321,-1,-1,-1,130210,415610,-1,-1,-1,-1,835037,-1,-1,-1,-1,330272,-1,335233,-1,728392,-1,607875,256782,-1,-1,-1,185399,252855,839402,-1,-1,-1,-1,761751,-1,444688,-1,526957,643509,842590,455945,567361,426333,80705,75922,446919,197790,567592,227405,501976,-1,-1,746852,708763,-1,-1,26639,-1,-1,-1,38180,-1,639942,-1,148407,134493,-1,999434,595771,-1,242514,-1,386726,989770,970217,-1,-1,474192,626138,129587,7674,-1,-1,-1,943820,-1,-1,730702,833835,-1,919160,239892,-1,-1,277550,10436,296716,-1,-1,409795,947908,397213,104728,3330,-1,-1,-1,337889,771064,968320,-1,153372,-1,636800,322860,-1,-1,-1,603375,-1,-1,-1,-1,-1,-1,368762,151612,723711,353081,388234,773944,-1,110782,-1,76707,975726,-1,-1,931875,431523,-1,936730,518079,282871,-1,-1,-1,-1,-1,211816,459080,81886,-1,345547,-1,734693,-1,-1,-1,342247,499760,-1,526375,-1,-1,28415,592134,273946,-1,-1,947344,30230,-1,-1,605402,589724,889820,198054,325785,679602,443234,-1,-1,300856,703609,11657,-1,971866,220217,-1,-1,201058,-1,-1,-1,-1,889709,-1,620681,-1,396153,895780,532966,927445,958023,310804,-1,-1,-1,-1,-1,239911,379785,102173,-1,594654,536059,-1,780625,141068,961105,53032,-1,935851,307692,-1,-1,325919,-1,-1,-1,-1,-1,-1,-1,307473,-1,48886,511073,718144,-1,591422,310950,458937,-1,-1,120110,-1,-1,164432,170308,10198,-1,-1,225147,905447,909192,944785,-1,13278,-1,910853,-1,441387,-1,-1,69379,-1,509892,400010,506845,98229,462975,-1,47404,-1,-1,513450,-1,864602,-1,-1,-1,-1,-1,-1,-1,-1,-1,71919,328070,-1,705548,152494,525493,-1,-1,-1,-1,719550,12804,872433,-1,-1,-1,-1,-1,53539,-1,-1,237141,375552,-1,-1,874746,819266,-1,958824,-1,213784,-1,-1,574832,-1,164222,-1,-1,-1,918713,48123,199733,-1,671476,361341,-1,340640,-1,176361,220556,429078,34700,-1,103543,-1,970923,-1,-1,-1,-1,-1,704909,-1,-1,969596,-1,702988,891663,472173,-1,364507,341533,611674,979948,-1,-1,929492,-1,258209,687558,-1,-1,952437,-1,-1,494858,647069,380286,-1,-1,-1,606660,-1,-1,-1,-1,589614,-1,272041,-1,701586,91576,914788,-1,209557,-1,-1,-1,687777,639420,-1,-1,317954,-1,519411,833110,-1,256808,823924,271160,-1,320514,-1,807253,219236,207928,-1,76392,-1,-1,-1,59448,-1,-1,-1,99845,333527,442820,-1,262262,-1,-1,-1,360589,-1,988108,-1,-1,-1,459200,412292,706899,-1,111732,-1,-1,354216,649229,427648,995295,-1,419508,-1,-1,-1,-1,422152,-1,-1,64491,-1,-1,-1,-1,-1,742749,505417,510565,206374,-1,830336,-1,-1,94405,443475,838603,-1,926787,239492,-1,888923,-1,806442,203883,-1,179975,654278,371051,-1,-1,-1,-1,178633,-1,-1,-1,38853,-1,273793,981827,-1,786325,14242,378464,345886,680989,294465,-1,574248,688154,-1,-1,797569,-1,912582,533762,-1,-1,763891,707003,-1,305323,787249,734344,-1,626268,-1,-1,-1,104585,-1,-1,-1,-1,89208,-1,218775,866480,-1,-1,387851,-1,-1,652479,517169,-1,-1,179738,-1,-1,-1,-1,360202,-1,-1,147271,-1,-1,-1,-1,823729,-1,648972,639496,-1,835695,-1,71874,-1,95404,-1,267643,786708,-1,-1,-1,-1,-1,768554,-1,504067,638036,461576,131673,-1,552868,-1,935976,520081,-1,-1,98746,958205,196967,-1,-1,-1,162326,39494,-1,324731,910596,664652,934613,-1,-1,367832,-1,289562,-1,-1,163645,628021,-1,549665,-1,-1,194933,1298,118388,-1,479218,38304,41191,-1,-1,-1,-1,-1,793593,681511,-1,569167,-1,208448,-1,-1,-1,635582,-1,-1,34025,673624,-1,874661,-1,906019,-1,238067,824944,-1,-1,194433,-1,474831,847473,623490,899706,-1,954765,-1,631560,211492,-1,17475,-1,746099,779595,-1,11027,943021,807049,-1,999669,574829,-1,812423,740616,805165,105284,-1,-1,39965,263069,-1,953779,980600,782115,763116,359544,64163,370919,-1,-1,-1,-1,860944,-1,-1,-1,-1,-1,219072,-1,748761,901958,-1,-1,833449,-1,744537,-1,-1,58443,957967,-1,-1,-1,172775,496855,-1,646145,-1,355641,623977,-1,633793,-1,-1,379741,459363,731052,835189,653105,83598,947351,790076,517627,660820,-1,440771,-1,23726,657908,544822,17171,-1,3194,-1,-1,606710,-1,-1,585128,240043,-1,-1,-1,-1,-1,44478,794207,961099,-1,-1,215863,-1,230028,-1,570227,-1,791238,-1,-1,592240,7515,-1,682909,-1,-1,169724,82417,-1,-1,627503,-1,-1,85484,-1,140194,308440,448116,-1,850073,-1,364093,-1,906344,-1,670719,795752,387555,-1,-1,767424,358068,-1,-1,311670,361022,-1,-1,241810,386054,-1,478018,-1,-1,222141,329424,424560,-1,-1,-1,371971,-1,108148,720834,-1,908533,856554,-1,-1,908390,-1,134369,302856,-1,201034,-1,430531,-1,445075,185810,-1,-1,920333,984770,350282,142320,-1,-1,969008,700038,990774,21614,-1,-1,500336,747373,195236,673708,799627,-1,-1,45368,-1,110479,837221,-1,436712,977174,259396,640890,-1,-1,-1,512426,-1,-1,-1,-1,102400,248709,-1,862105,-1,705608,442045,-1,238846,-1,270474,-1,-1,298496,-1,999309,-1,850887,687690,-1,-1,437575,-1,27186,511714,-1,666094,593974,-1,-1,79494,-1,-1,-1,-1,-1,-1,580902,-1,-1,-1,-1,345088,343293,498466,849480,-1,-1,-1,-1,-1,552955,-1,107659,700893,-1,-1,16620,-1,-1,-1,-1,-1,916812,-1,689468,602932,922704,12920,965379,47399,-1,-1,-1,531565,106761,-1,392860,-1,-1,-1,462464,-1,984385,-1,-1,343767,218733,-1,-1,246367,-1,730019,-1,567873,522934,-1,672302,-1,-1,859809,-1,797489,144641,-1,296791,607247,-1,-1,-1,449121,-1,-1,366596,-1,-1,401227,677386,258780,-1,-1,-1,-1,-1,197111,-1,48712,251587,425630,20728,501016,579056,-1,796061,101742,-1,-1,-1,150375,-1,524931,326978,-1,932481,968784,625645,953612,-1,896782,-1,122815,-1,-1,-1,63770,-1,106241,-1,557032,-1,792924,89469,-1,918991,82355,710647,-1,-1,378791,752460,-1,353998,974371,-1,560034,453981,256425,-1,78785,31999,-1,952337,404307,129757,943750,-1,-1,-1,-1,-1,-1,407743,352454,815608,-1,-1,-1,881465,-1,-1,895694,603006,-1,963015,379846,100109,-1,-1,-1,-1,-1,-1,188752,611414,174804,62810,-1,337717,-1,-1,990680,-1,734748,991870,-1,-1,-1,708735,356381,179437,-1,768167,-1,448120,254453,-1,-1,128442,-1,-1,266883,-1,386153,516740,-1,102630,-1,62627,-1,373173,-1,305888,585672,578733,44062,456586,850334,310909,347880,375206,889917,688642,-1,493215,-1,696505,-1,-1,458300,-1,-1,-1,883145,-1,196512,-1,-1,-1,364937,912843,441536,-1,-1,-1,-1,154387,-1,-1,-1,233368,588770,-1,745189,702313,141731,-1,236816,-1,245115,-1,-1,231491,-1,45856,-1,876622,515813,-1,-1,389186,-1,948973,200854,121822,657673,53529,351807,665389,145270,712755,-1,967651,763080,-1,553616,-1,-1,846988,97309,-1,263244,-1,-1,-1,-1,-1,207471,-1,-1,-1,568464,-1,492804,509400,712992,174954,99979,70203,-1,-1,768507,-1,-1,188286,680970,792398,866477,21756,647621,-1,-1,655967,560354,26749,-1,-1,157746,567965,288036,586661,-1,942136,278337,-1,251324,-1,661385,-1,882888,787768,876106,-1,-1,893009,915635,-1,479665,658289,292294,-1,-1,-1,245036,-1,-1,629478,848215,-1,-1,-1,-1,-1,588339,-1,288675,-1,-1,321640,514910,-1,558611,627394,-1,110952,-1,-1,-1,820107,621221,-1,110774,-1,195010,-1,927604,672710,-1,-1,1815,324399,262438,-1,154152,913876,409885,587647,-1,133566,582240,767280,-1,209461,-1,908255,879474,-1,20709,-1,-1,-1,-1,-1,598440,-1,22037,-1,-1,-1,-1,918405,-1,-1,-1,521941,699206,-1,-1,-1,-1,520077,-1,803538,-1,476500,-1,-1,-1,789546,117908,-1,-1,469261,-1,-1,-1,-1,-1,57678,422286,-1,6760,-1,-1,-1,283551,-1,-1,-1,553043,691572,512276,182873,621318,540134,962468,345264,-1,-1,-1,4659,-1,120621,-1,-1,231261,-1,-1,208846,-1,630398,-1,609004,-1,-1,-1,-1,-1,-1,-1,744264,-1,-1,562810,714005,666695,349579,309396,-1,-1,-1,787556,633146,914503,-1,775344,-1,95306,123553,83321,739167,558617,811611,265866,-1,-1,-1,698173,-1,-1,7246,-1,-1,340969,-1,739389,988602,594677,-1,598300,527910,-1,-1,-1,423126,-1,57936,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,582929,-1,993108,414925,214912,-1,261543,-1,-1,292444,-1,98687,601262,-1,323411,-1,-1,487183,338771,588525,636131,-1,425303,-1,972509,793251,-1,921389,288016,218144,542391,-1,-1,-1,-1,146056,741398,-1,-1,-1,-1,553144,-1,184878,-1,-1,-1,981261,-1,847393,444899,-1,565708,-1,-1,169070,-1,482680,863551,655744,-1,-1,672138,16838,498657,974213,-1,557640,-1,410320,-1,-1,520579,687252,-1,247928,129581,-1,-1,-1,902518,-1,-1,546820,-1,590355,-1,203837,-1,-1,732935,-1,-1,698006,79771,-1,-1,-1,-1,-1,780841,933017,-1,759,-1,435851,-1,-1,968427,753589,-1,963439,715718,268177,-1,-1,-1,-1,695964,624265,516428,953229,12520,-1,910831,775163,-1,524915,935078,-1,321205,-1,985859,667006,81015,-1,-1,668626,641373,167048,-1,-1,-1,896501,-1,-1,-1,-1,992404,-1,-1,-1,305872,-1,-1,482578,16910,586539,81900,469443,-1,80244,276349,380796,878162,-1,140286,-1,-1,-1,-1,-1,523735,987566,667517,926201,-1,425130,949063,-1,674248,866450,-1,413231,-1,517528,353938,-1,437586,-1,-1,909379,391640,290574,202522,-1,639655,316836,886560,-1,841292,313046,-1,-1,80073,809574,807745,459846,-1,328865,-1,-1,-1,933579,-1,-1,-1,-1,306542,-1,871345,-1,550266,-1,-1,-1,289696,277806,409778,366125,-1,-1,689662,-1,460534,-1,-1,-1,-1,358496,-1,890846,-1,-1,-1,-1,-1,568441,483748,-1,-1,-1,596562,-1,-1,-1,411382,42475,-1,140815,406277,-1,444133,201890,132091,503384,-1,419544,237040,375987,-1,425744,701777,338500,-1,-1,-1,-1,787075,-1,-1,796915,-1,771254,122517,-1,-1,-1,146239,-1,261413,-1,-1,-1,-1,-1,-1,-1,-1,-1,978499,-1,309311,-1,535347,-1,154498,828684,-1,854080,-1,161869,-1,761582,817540,-1,190082,-1,-1,779745,-1,756390,584826,455419,795170,80560,123607,949637,-1,471507,-1,556275,-1,-1,-1,580592,247188,-1,839363,77761,246504,-1,52694,-1,160297,178944,409921,780978,-1,-1,-1,-1,-1,-1,178531,-1,-1,-1,881941,-1,458010,874196,442781,-1,388714,-1,190567,576610,159604,-1,136174,975253,-1,-1,-1,393823,305558,-1,531905,-1,-1,761651,-1,-1,-1,455420,-1,393324,779274,-1,3974,232898,-1,843817,-1,437281,480712,-1,595412,575423,244903,721164,656190,-1,-1,-1,666782,254988,319263,750375,241837,661736,-1,-1,98829,-1,-1,258510,36759,842817,933939,718592,-1,-1,21787,-1,-1,219220,703106,-1,-1,-1,825821,-1,-1,-1,71389,-1,-1,427883,-1,-1,408117,658690,509845,-1,-1,579205,-1,-1,-1,-1,-1,-1,996195,-1,-1,-1,880017,-1,64910,-1,-1,-1,-1,-1,452646,-1,-1,81801,-1,-1,935248,-1,-1,-1,-1,-1,-1,356760,783218,-1,-1,-1,531819,-1,-1,524795,-1,-1,72292,-1,-1,375271,824997,576751,146460,973563,660129,-1,-1,834440,-1,194095,-1,882070,847479,-1,408182,851252,838030,705362,721890,-1,-1,696718,671796,-1,34095,-1,756425,219276,334868,-1,829233,836184,-1,799974,255452,282391,421050,375928,958395,-1,-1,254475,372790,434997,-1,-1,-1,35546,530209,-1,698422,-1,-1,437174,-1,-1,-1,425196,-1,997412,628251,-1,-1,-1,842853,-1,-1,-1,-1,-1,166866,-1,814186,-1,-1,739503,-1,655345,474612,-1,-1,354274,-1,-1,-1,518873,389783,-1,277022,236243,-1,220162,902110,-1,986459,373022,-1,-1,636949,-1,750227,-1,481492,249669,-1,656660,-1,637751,257878,308244,-1,729742,-1,-1,629546,-1,682721,-1,-1,-1,91500,87245,202417,-1,-1,687797,-1,973119,-1,-1,-1,557547,225726,768495,3555,-1,993384,-1,390885,-1,-1,-1,-1,732596,-1,-1,108861,612903,417964,444094,-1,-1,711840,53579,162695,-1,884444,983437,903840,-1,696380,996531,861845,309702,996249,-1,-1,702586,-1,-1,967902,725199,-1,1529,-1,941882,-1,-1,661169,634917,517140,-1,106506,-1,84111,734662,913927,802228,-1,548145,-1,-1,832483,243825,-1,-1,911564,-1,183110,-1,-1,823077,-1,-1,445116,709704,-1,199833,398903,370046,827011,-1,-1,-1,132714,-1,-1,635160,-1,-1,-1,-1,612153,-1,-1,-1,267888,482130,741277,-1,-1,-1,-1,-1,698778,-1,191517,815371,-1,159717,870046,-1,657257,-1,-1,-1,416291,-1,169789,-1,492437,50285,945728,-1,-1,-1,138621,-1,887758,143293,-1,569119,908174,224888,-1,163960,-1,719257,217728,313818,-1,818552,855148,22108,-1,569802,15700,441575,664743,-1,-1,-1,-1,155271,-1,404265,-1,-1,-1,-1,-1,933561,755582,621676,446192,-1,675725,-1,-1,-1,472737,-1,547156,-1,-1,-1,-1,-1,-1,740824,624352,877213,-1,442216,482814,-1,-1,530989,-1,-1,-1,975383,-1,-1,627521,-1,-1,954342,792938,-1,335874,410498,-1,971871,920116,612796,317445,105587,33662,-1,368617,314263,6315,-1,-1,247599,572707,-1,-1,-1,895185,694344,184231,942449,-1,276415,-1,746270,-1,538610,-1,515443,166138,139448,689984,122591,442955,-1,523506,-1,-1,630135,75287,315886,-1,-1,688780,-1,-1,-1,829034,-1,463079,-1,-1,560540,174187,-1,-1,419174,-1,313840,-1,-1,544601,-1,-1,-1,714120,895624,-1,-1,-1,-1,-1,170673,-1,-1,-1,-1,-1,17369,121373,743085,770918,-1,553886,-1,840640,-1,150797,975590,112455,-1,895064,256203,-1,-1,427805,-1,954584,-1,-1,-1,728349,-1,503798,-1,-1,877027,818186,677307,-1,983871,580691,-1,-1,-1,-1,-1,27204,-1,754302,-1,536679,-1,-1,613095,103487,191303,259039,431059,-1,-1,521076,72914,-1,689171,-1,-1,-1,231988,-1,-1,-1,-1,673985,344935,-1,-1,834676,-1,191511,451895,154979,68242,-1,-1,660369,993429,832380,723544,-1,-1,204440,-1,-1,999793,482133,-1,301351,-1,-1,848135,741686,648745,-1,936059,200966,-1,-1,-1,784966,-1,22810,694685,-1,612135,434288,505777,553543,-1,-1,-1,-1,-1,557679,-1,-1,-1,-1,-1,558363,-1,926898,-1,-1,-1,-1,441792,815949,132784,928915,563993,384882,395666,-1,-1,534929,-1,-1,-1,978249,-1,272052,619617,-1,812804,-1,-1,316166,-1,-1,-1,-1,951824,203122,-1,445104,-1,844702,-1,951366,-1,-1,-1,-1,575350,54428,-1,-1,-1,450448,88179,614742,-1,-1,-1,995846,-1,-1,387973,786305,-1,310373,-1,-1,626397,-1,-1,878734,823860,918049,-1,-1,738244,38573,-1,-1,-1,-1,822504,566308,781096,-1,-1,-1,-1,887420,172204,377789,654182,-1,91185,-1,64433,43353,-1,-1,-1,-1,68857,-1,-1,445899,-1,-1,-1,-1,-1,533288,131228,-1,-1,814391,-1,33018,-1,707807,-1,859889,-1,-1,-1,-1,-1,600067,-1,-1,-1,-1,-1,-1,902668,-1,-1,-1,609062,184622,192049,-1,574576,116842,-1,476930,265283,225641,-1,321775,473646,-1,863050,-1,-1,-1,319447,-1,-1,-1,-1,-1,508122,784295,-1,-1,106930,-1,97075,125180,-1,401133,868663,-1,-1,729744,614301,749365,110244,922862,979387,957849,208582,787977,-1,38873,796899,-1,-1,-1,209959,238619,-1,77388,-1,-1,-1,447143,845572,444531,534875,-1,-1,253867,-1,-1,328249,925936,419630,242878,149037,424802,450890,525721,245727,-1,-1,-1,5511,97185,705485,-1,590548,441819,774837,-1,273231,131071,720869,859356,135612,-1,536752,800932,36635,-1,-1,888173,-1,293847,-1,-1,-1,343990,282560,194785,406339,-1,220494,-1,524483,266227,-1,-1,43290,302459,762298,-1,-1,988118,651260,-1,441905,-1,313963,-1,654887,-1,-1,-1,720322,952854,-1,449292,-1,-1,75842,423093,-1,-1,-1,949782,-1,-1,-1,844316,658587,-1,79369,638350,120669,157750,-1,-1,824423,-1,938004,-1,-1,-1,-1,-1,858476,269653,246044,-1,-1,189445,-1,-1,227995,-1,-1,-1,623350,393095,334695,-1,777070,-1,74941,-1,846649,578165,-1,931103,-1,352940,156794,-1,525400,951015,-1,32788,545962,356591,-1,262995,-1,-1,447000,-1,-1,324660,-1,-1,74067,-1,192946,57499,300424,-1,-1,336115,-1,198234,718501,-1,528234,-1,992870,211858,-1,652597,718854,370176,-1,-1,-1,-1,-1,167208,-1,-1,-1,-1,226734,-1,248513,-1,723740,-1,289324,621267,369139,-1,-1,486931,-1,897269,692097,-1,-1,184631,-1,86837,-1,-1,776874,608548,75206,-1,-1,712811,-1,-1,895461,283781,-1,-1,734865,-1,-1,897887,322074,-1,353976,-1,-1,312095,-1,-1,-1,459115,701632,-1,-1,701184,-1,636332,-1,158255,837418,-1,-1,-1,-1,-1,-1,197015,-1,-1,-1,75202,-1,550200,-1,328433,-1,244449,498124,100778,-1,244005,-1,138994,672736,-1,-1,-1,605426,25112,-1,-1,-1,17152,490738,999212,-1,-1,-1,39991,397997,144781,879983,130607,912226,137262,-1,-1,552209,643965,291654,916461,-1,856862,-1,659250,400694,640973,-1,820316,522108,152574,101880,377350,-1,-1,283076,204400,20139,-1,254833,-1,188338,-1,175247,776608,-1,-1,-1,347726,-1,-1,-1,-1,773373,41323,-1,-1,608289,168066,-1,-1,861704,339630,-1,241135,-1,273489,504961,7861,581706,-1,-1,958607,-1,-1,-1,259812,-1,-1,-1,767926,-1,876554,-1,-1,497850,-1,767148,-1,-1,246551,-1,811446,971951,59006,-1,700895,-1,-1,-1,-1,71695,51710,-1,631532,-1,-1,204310,-1,121421,551959,342329,-1,-1,-1,-1,1327,555544,234918,767497,704046,612502,794761,-1,-1,-1,597188,904597,-1,931673,-1,-1,797368,693164,-1,-1,-1,-1,118464,672124,594537,-1,927377,210354,-1,-1,170387,-1,-1,-1,-1,-1,-1,-1,109670,29187,-1,-1,420150,165344,584729,939859,290146,-1,661298,518522,700956,693453,-1,-1,-1,666767,816127,-1,-1,-1,-1,-1,-1,-1,-1,-1,664048,-1,534983,-1,123608,-1,353624,-1,-1,754714,-1,-1,357151,-1,-1,-1,-1,813044,-1,-1,273046,-1,749136,-1,489218,961651,-1,726188,-1,306803,978440,491262,-1,-1,-1,-1,-1,-1,-1,92823,-1,-1,-1,902911,-1,758793,-1,-1,-1,657082,-1,934733,-1,359588,-1,-1,-1,57359,-1,999305,262075,-1,-1,-1,244631,-1,-1,-1,-1,767717,353228,-1,-1,-1,-1,-1,-1,-1,-1,942525,-1,716723,-1,978463,526017,-1,316100,500919,403675,552622,303897,-1,-1,892361,301504,949002,-1,255772,-1,-1,-1,750714,997002,-1,55981,204698,-1,827035,175823,-1,-1,336390,549906,373899,-1,-1,256161,-1,894790,-1,-1,-1,75447,351370,-1,-1,736607,711765,427378,86702,-1,566624,-1,279413,543488,-1,686564,679290,864281,-1,-1,498295,69575,3250,-1,725081,101822,447701,-1,-1,-1,46931,90480,634051,248842,-1,453974,-1,-1,-1,-1,-1,-1,746658,-1,588453,-1,-1,593772,-1,883148,-1,845211,-1,164002,-1,-1,-1,-1,-1,-1,258577,595189,-1,438028,165242,845262,-1,-1,459532,524576,-1,828942,-1,977410,934668,967039,868619,-1,836812,-1,-1,-1,370981,530680,255634,111331,213977,65175,-1,-1,-1,-1,715118,-1,771798,646204,776087,117168,10437,-1,-1,857481,-1,693459,-1,600985,630193,931571,881930,180910,635796,-1,-1,-1,872904,-1,-1,-1,202893,-1,-1,-1,608303,-1,-1,-1,-1,-1,-1,-1,-1,-1,60933,-1,348054,138092,-1,-1,795771,-1,208288,-1,334274,785371,-1,-1,-1,-1,-1,113637,-1,-1,780505,985466,706485,385775,336380,-1,-1,-1,888071,396255,112763,69373,-1,-1,-1,566044,273122,-1,-1,216866,764959,630189,-1,-1,-1,895441,714878,-1,-1,852949,-1,-1,238882,-1,-1,-1,524800,-1,907213,-1,438310,-1,559517,-1,-1,-1,-1,-1,592598,224247,-1,-1,876061,78458,209807,-1,651479,-1,719374,-1,-1,-1,953386,-1,431807,-1,-1,190183,-1,-1,-1,-1,-1,913515,919552,-1,-1,962337,-1,-1,-1,742667,332309,64143,751266,-1,256391,180662,610635,-1,792929,529687,-1,-1,-1,841050,381192,504674,207404,818453,-1,-1,772815,-1,175153,805375,624786,-1,763522,979260,-1,814876,862628,-1,-1,783026,680945,444280,252606,39392,-1,-1,32607,834796,732303,-1,-1,630923,-1,-1,684255,524222,395376,-1,-1,-1,-1,92002,696256,656812,-1,6331,377941,173970,659658,-1,499110,-1,904283,-1,25422,25464,318430,-1,981293,548337,-1,-1,-1,198289,619316,435861,-1,261523,235926,656659,-1,907568,281725,355996,-1,-1,-1,-1,789820,164574,79030,516367,155884,-1,860237,486029,193188,452792,636609,357599,-1,444074,407436,596381,-1,867155,-1,-1,-1,-1,208828,-1,-1,252750,-1,-1,799967,198906,-1,118757,-1,668569,845999,819204,-1,-1,-1,-1,-1,-1,610624,-1,290571,-1,45835,220233,-1,825314,325936,-1,-1,499562,-1,408381,203798,-1,-1,-1,345032,405095,902335,-1,-1,558273,153678,-1,-1,-1,592914,590219,135211,724782,-1,229391,-1,108713,875320,978368,854992,-1,658940,740528,343775,-1,-1,-1,515478,626858,434575,-1,885183,-1,549925,764397,196987,-1,-1,-1,431235,230174,-1,-1,214817,-1,-1,-1,437826,138995,655135,-1,-1,-1,-1,-1,-1,525697,679228,614895,887215,652060,558047,-1,686434,-1,-1,747558,653636,526806,-1,-1,-1,994825,90529,-1,-1,-1,-1,519672,-1,-1,858762,196895,-1,-1,366130,-1,-1,974250,-1,-1,-1,-1,-1,419518,784380,830879,306696,60650,-1,-1,316566,341541,520861,560647,596967,-1,-1,-1,-1,-1,929180,-1,-1,-1,874202,-1,-1,-1,-1,921682,993794,573400,-1,193800,955079,-1,582557,992771,-1,554096,-1,496260,-1,-1,-1,-1,887979,-1,-1,-1,561624,392351,272716,161408,552513,986958,-1,342014,573631,-1,-1,-1,837561,152913,-1,25953,154213,898228,785247,-1,175848,96621,752293,-1,335888,307462,-1,518029,395714,596061,116047,537198,916237,249363,97758,-1,319614,-1,863077,189168,-1,234616,987197,-1,-1,750512,534735,-1,887713,-1,793349,-1,-1,367445,766617,-1,871902,-1,713094,508364,96255,-1,-1,-1,184886,187051,-1,-1,-1,-1,643169,-1,319343,-1,441798,-1,750567,-1,-1,-1,635366,-1,430683,358664,-1,657255,-1,-1,-1,770914,-1,110215,368069,5203,-1,-1,-1,-1,299771,911933,-1,-1,697164,-1,801479,898470,-1,-1,-1,-1,529064,86328,868972,-1,-1,-1,-1,415033,-1,-1,-1,-1,-1,-1,493949,-1,-1,388198,-1,-1,650254,-1,-1,36030,603546,92007,-1,127241,882324,-1,192272,-1,157422,-1,874966,451183,-1,-1,92839,-1,318806,-1,-1,-1,879763,164411,258878,-1,629837,-1,-1,814849,758493,178186,-1,-1,730347,-1,194459,-1,737415,837819,-1,-1,73759,-1,409797,-1,677887,-1,-1,539413,-1,208910,-1,-1,536057,469782,129658,346642,500375,-1,-1,-1,-1,616341,-1,-1,-1,-1,716848,-1,-1,-1,324792,362601,-1,543153,670344,669569,96271,145917,970592,363462,-1,981278,50458,-1,176060,-1,853645,-1,-1,650808,-1,752298,-1,971547,-1,523623,511134,364515,-1,-1,-1,80900,406539,336328,699718,-1,-1,-1,668420,320552,907457,-1,-1,-1,663532,740744,169124,-1,-1,923132,-1,-1,-1,274147,-1,19935,-1,433538,-1,-1,910770,148106,495491,487433,354991,-1,274738,-1,-1,574510,702843,-1,592938,404738,840504,-1,-1,326005,-1,11128,578873,167954,788043,932840,-1,-1,126991,-1,-1,274828,-1,-1,874282,-1,-1,-1,-1,507989,-1,207453,-1,167579,152934,-1,140774,-1,955309,949836,615489,170657,613628,928377,36650,-1,55918,-1,-1,-1,-1,20382,197349,-1,428091,-1,516651,602364,670558,-1,-1,-1,892562,576218,-1,895360,236897,424348,-1,607832,383724,-1,-1,-1,835931,329976,271565,896734,-1,781227,-1,-1,767914,384902,348434,4412,820551,81709,228405,794101,232041,43191,-1,-1,865058,581206,-1,223472,242659,-1,-1,91617,549280,643379,351439,668650,-1,479067,883088,-1,-1,645577,-1,-1,-1,-1,570009,589103,-1,229727,305500,-1,599814,171693,842254,582314,33027,679048,90907,-1,-1,260371,-1,557892,991190,582486,909066,-1,-1,432657,741422,377357,-1,194972,-1,-1,193895,150896,-1,841664,116426,-1,-1,-1,-1,-1,388850,179385,230334,-1,64147,185999,-1,-1,740216,83821,-1,306881,-1,-1,564578,-1,-1,-1,927563,983985,852766,-1,859566,-1,-1,504039,-1,-1,368232,477338,-1,-1,-1,577433,-1,180530,603293,-1,913995,-1,-1,430381,-1,116283,192325,415160,298530,373488,-1,171777,838803,-1,907919,301220,-1,-1,827114,-1,-1,580101,-1,-1,641015,-1,882105,-1,694257,-1,-1,999262,19280,-1,284161,-1,817279,883484,152554,-1,555274,176132,-1,175328,764736,133548,661950,-1,449475,-1,-1,-1,-1,871551,-1,674532,173036,396981,136627,606856,-1,-1,-1,-1,229230,-1,548770,29844,595385,121720,469103,-1,-1,215314,-1,-1,-1,142484,750694,-1,-1,142812,929472,-1,465350,192674,-1,-1,692536,-1,705498,682982,-1,-1,166578,-1,152023,-1,-1,430106,793958,675622,-1,743529,453488,428756,-1,-1,-1,480257,966365,-1,-1,-1,-1,-1,-1,694453,500937,-1,845843,466269,921026,477317,-1,693252,417943,-1,-1,-1,965533,-1,217820,-1,-1,-1,-1,591874,357963,694381,-1,-1,-1,-1,-1,247248,-1,969584,-1,-1,30088,772472,154281,-1,-1,-1,-1,-1,521483,-1,762371,-1,943383,593351,521102,-1,9261,-1,895650,361571,806946,526425,826600,20261,-1,-1,-1,544598,533581,672359,784716,-1,-1,563583,574891,358906,737431,-1,437502,663010,167926,934321,-1,548520,940755,188170,520842,-1,-1,532314,808200,756155,570540,-1,-1,-1,-1,179297,-1,-1,-1,-1,133756,-1,197959,-1,-1,760290,870001,73937,356318,-1,-1,592200,46651,-1,527204,950718,-1,513018,-1,-1,916387,205291,512309,614912,-1,55494,-1,205628,872389,-1,-1,-1,-1,-1,-1,-1,204821,-1,-1,-1,-1,386603,404090,-1,414813,915024,925387,401543,-1,-1,-1,211020,277609,760824,-1,-1,520889,-1,-1,358151,442112,617313,226184,464940,-1,-1,344828,147395,426622,-1,897276,-1,-1,-1,971860,542205,-1,-1,938021,979132,252971,504447,924430,-1,454790,667341,-1,984082,-1,700457,606378,318296,98458,-1,254747,-1,-1,-1,812555,-1,491985,804332,223160,-1,968898,-1,238772,-1,268113,64229,604604,-1,-1,665643,299642,152731,966408,-1,-1,-1,-1,554162,89404,-1,932610,692395,426439,885373,638457,-1,859758,-1,813243,747273,-1,-1,756379,-1,766044,-1,82371,-1,-1,867655,-1,677987,-1,-1,964210,81797,279,830695,149472,-1,782122,499988,177625,494794,308658,-1,-1,671194,-1,186663,-1,-1,737701,-1,-1,-1,795918,186159,-1,-1,532392,263510,-1,-1,19565,-1,-1,573718,703852,680662,729961,213199,954058,-1,936733,-1,-1,644240,-1,93705,-1,67937,-1,-1,671548,-1,-1,-1,-1,-1,660449,540347,-1,-1,-1,526508,-1,767609,193542,-1,-1,-1,313579,-1,-1,-1,874041,-1,172843,-1,-1,-1,-1,-1,101220,727343,-1,669572,-1,789962,-1,-1,-1,-1,-1,819288,52844,540573,-1,820836,-1,663362,690435,-1,-1,708894,-1,431686,-1,-1,786926,-1,161985,-1,-1,-1,950120,-1,-1,-1,878970,-1,-1,161360,986690,229469,-1,-1,345176,195040,-1,-1,-1,322005,45208,449429,69705,4477,-1,-1,-1,-1,-1,-1,-1,851721,-1,848013,-1,-1,684730,-1,46457,-1,-1,200909,195291,813731,433899,957598,647434,569603,-1,-1,395074,-1,-1,-1,-1,-1,94819,-1,572595,-1,628045,-1,740050,-1,-1,-1,227339,-1,-1,829882,964017,-1,-1,-1,448866,-1,627496,-1,284547,-1,282292,242052,-1,-1,669109,171715,345445,157743,802109,29850,688562,512245,606817,-1,987260,940261,235021,-1,547617,787420,262881,-1,102249,185647,-1,391677,778325,-1,752423,467072,70794,-1,102137,568281,-1,340592,-1,-1,528846,-1,-1,-1,-1,-1,59414,113430,377565,-1,158453,-1,374556,743174,-1,-1,772351,-1,178382,-1,-1,-1,-1,-1,-1,93746,-1,160944,116289,-1,790857,-1,-1,462102,653863,886417,288184,878011,-1,-1,-1,-1,-1,781050,246726,773842,206812,-1,-1,263440,-1,797142,-1,-1,-1,399864,573953,-1,-1,89486,-1,903824,559585,-1,-1,350853,339481,406766,121805,942833,739774,-1,534282,2888,568331,283769,660868,-1,315233,-1,741704,-1,91097,922635,373959,135346,621812,-1,-1,222068,-1,177903,277761,-1,-1,-1,190402,-1,145661,742493,-1,6350,461727,333837,859779,-1,-1,702332,-1,-1,-1,332595,-1,697793,158349,549000,236246,-1,148224,-1,-1,479319,374816,-1,-1,899911,-1,-1,895555,701795,-1,925376,606316,253767,-1,933567,543931,-1,-1,5123,-1,-1,834083,430225,-1,617910,526339,891676,-1,643204,661137,-1,-1,-1,146196,4639,-1,264791,-1,408656,-1,-1,568315,952482,-1,-1,883996,472500,-1,-1,223595,882028,-1,734399,61228,51735,437032,498477,-1,-1,945562,971307,-1,121338,-1,-1,-1,-1,-1,383705,-1,316850,-1,-1,-1,661272,405011,10605,277453,824525,731492,-1,852155,752055,-1,-1,-1,894736,317692,525803,-1,-1,-1,-1,-1,-1,-1,880358,-1,-1,320059,-1,631361,-1,530714,-1,73067,-1,-1,-1,14956,-1,-1,989076,-1,-1,198159,-1,-1,806011,248820,-1,426817,-1,244308,-1,-1,997239,170065,845695,-1,568230,921355,-1,-1,-1,497530,618741,756761,-1,-1,-1,-1,329272,-1,109039,-1,261022,124215,-1,-1,952023,751937,434803,-1,414816,730301,840428,-1,-1,765590,-1,740268,914947,-1,94051,-1,-1,-1,-1,-1,-1,14815,259430,648591,-1,343334,221940,70919,991904,659467,798469,16876,-1,312897,928753,-1,-1,-1,-1,-1,-1,320532,-1,549335,-1,-1,374780,-1,-1,211928,-1,546424,-1,-1,-1,-1,-1,-1,546161,109970,538011,-1,-1,969169,656408,484002,-1,-1,189157,-1,-1,994827,946360,473240,383885,144378,849890,-1,91406,-1,-1,816415,-1,-1,73731,-1,639866,-1,588444,-1,-1,-1,390,-1,162630,490882,79847,-1,812929,-1,714561,251499,-1,-1,39589,301251,-1,71966,130499,589457,-1,-1,-1,-1,-1,611454,-1,212351,191563,216124,-1,-1,22098,-1,-1,352189,-1,232672,638985,-1,-1,862682,-1,-1,-1,234971,-1,424831,-1,424199,215352,-1,417538,-1,715064,404694,-1,221227,-1,690442,-1,-1,-1,947201,3284,-1,965508,-1,-1,-1,-1,-1,808797,339407,76654,368056,-1,-1,-1,391416,-1,-1,-1,-1,-1,424751,-1,609549,584466,-1,124640,561000,610649,-1,579771,432421,568274,-1,-1,-1,776680,56857,-1,-1,301290,715400,829383,-1,286351,773517,141215,520543,830414,898823,-1,-1,-1,968572,-1,-1,-1,452504,525145,214956,351630,-1,895763,251046,145886,-1,-1,-1,198561,187104,-1,-1,-1,-1,70510,-1,973990,520174,856387,-1,772410,468479,617371,-1,-1,-1,-1,30266,669625,57812,128893,-1,843918,936392,-1,319902,-1,883182,241033,-1,-1,-1,-1,-1,-1,-1,-1,198709,-1,-1,699399,620861,-1,-1,61611,201882,339936,-1,444892,627968,-1,-1,922114,-1,-1,712712,165130,470870,161951,-1,-1,88409,-1,-1,-1,384352,-1,-1,-1,228199,-1,243663,-1,496042,-1,308111,-1,-1,-1,-1,-1,-1,379494,139896,-1,-1,-1,-1,552709,797609,-1,432149,548237,676133,174516,-1,-1,212600,558153,24550,-1,126188,427500,-1,-1,345877,-1,170689,639706,777700,-1,-1,-1,-1,384558,516109,-1,349612,664029,-1,878898,147201,-1,-1,549079,-1,186669,-1,-1,559192,-1,15919,-1,-1,757950,335541,-1,724262,-1,-1,846514,-1,840496,-1,-1,755513,864741,465914,333357,932586,-1,-1,-1,67764,950158,-1,-1,858540,759806,814368,-1,-1,-1,-1,30735,412212,-1,752426,-1,-1,434099,-1,961564,-1,339728,442720,-1,120191,-1,-1,-1,86627,886318,-1,-1,907797,849616,454231,97925,-1,170778,830499,-1,-1,-1,405966,-1,986164,313733,360855,58828,404039,-1,140048,-1,340027,-1,911796,-1,-1,86096,-1,-1,151463,511468,-1,758695,87426,863001,470650,131502,453602,549838,-1,-1,869544,-1,446079,7878,940810,752136,-1,945729,645306,382889,-1,613689,195607,-1,927025,778429,-1,23056,83961,-1,-1,147278,-1,-1,517386,-1,-1,498360,-1,740849,825445,123113,-1,-1,-1,-1,-1,383696,-1,-1,742044,46011,-1,881562,425404,-1,152539,-1,-1,956944,-1,666877,-1,133573,652907,-1,547709,-1,821499,-1,-1,784269,-1,300111,26385,343558,-1,-1,-1,-1,503848,214093,-1,540823,333812,633695,-1,553769,419301,-1,-1,92216,856889,-1,967440,69303,-1,-1,599529,-1,281959,-1,-1,136796,-1,-1,-1,-1,-1,-1,-1,-1,402871,-1,-1,847122,-1,-1,704449,203941,-1,-1,873408,-1,585562,-1,83311,64290,487408,-1,800461,-1,763382,961062,943734,994837,-1,550640,969999,631272,863875,-1,851356,-1,-1,315029,-1,827740,484738,542204,-1,840790,-1,46820,-1,-1,954174,977161,-1,-1,254887,-1,403174,871578,-1,540903,-1,575624,-1,782945,-1,828105,649275,-1,-1,508375,-1,-1,199641,-1,609092,-1,523991,741217,-1,309146,783574,-1,-1,807200,-1,-1,-1,515481,243182,518350,-1,851222,-1,80575,579373,991160,413019,-1,-1,749788,640606,8661,620111,-1,96241,172018,937849,-1,-1,-1,270147,-1,101308,51054,406348,-1,-1,411176,-1,180505,502380,-1,-1,736046,-1,-1,-1,-1,16231,263132,150553,-1,-1,-1,287137,-1,48395,82010,79809,-1,-1,781810,48926,457866,757436,-1,-1,591839,713910,-1,-1,-1,-1,-1,804453,-1,-1,-1,923916,845479,239757,-1,-1,183649,-1,-1,-1,-1,204481,845289,951272,-1,693635,-1,367397,-1,-1,375295,-1,-1,871947,196794,446308,-1,700097,198590,54165,-1,723264,367501,-1,-1,661557,30050,675543,327247,-1,-1,587255,273954,314709,620174,153058,-1,-1,968937,184450,-1,-1,684093,-1,-1,388578,45387,775196,-1,-1,-1,180196,-1,800710,-1,-1,-1,-1,-1,-1,118058,-1,-1,701857,953951,-1,326243,761775,658500,762632,310708,897178,-1,-1,149391,294887,649276,225191,927283,894998,273882,-1,-1,373191,-1,-1,970865,-1,215332,-1,-1,98814,-1,32643,297659,702258,-1,-1,-1,718101,917711,-1,-1,-1,578477,-1,684426,12235,246043,-1,-1,-1,784232,668221,51608,22371,455760,185915,425446,51019,-1,-1,854014,-1,-1,-1,-1,689942,73781,599324,-1,-1,332782,-1,21649,308232,103806,-1,-1,-1,546367,259869,-1,-1,150234,-1,487983,37892,-1,-1,-1,-1,867059,955252,-1,-1,520848,472724,-1,640088,-1,-1,462659,-1,-1,-1,-1,-1,214977,-1,-1,420921,622623,-1,-1,757207,596027,-1,-1,640555,-1,-1,168314,217973,-1,981598,-1,-1,-1,794529,-1,-1,-1,607219,-1,30756,-1,-1,-1,-1,376861,371965,-1,-1,-1,783084,-1,214298,-1,-1,578675,-1,956682,-1,-1,741972,-1,-1,-1,-1,-1,-1,936187,-1,647087,411727,-1,401691,-1,99134,-1,614958,-1,-1,213032,-1,699072,77860,-1,-1,109214,-1,-1,442838,379029,644501,555848,-1,169160,423005,652877,-1,-1,102183,211033,-1,542697,-1,-1,-1,-1,-1,689010,18297,-1,764378,960635,-1,79846,-1,181637,925774,225677,742121,-1,265328,581257,-1,-1,586330,108969,122115,-1,377520,-1,911621,-1,103415,273866,-1,-1,-1,7354,-1,-1,399390,937119,-1,66290,1690,-1,-1,42162,873090,26030,-1,933834,-1,600167,-1,-1,145411,914943,882263,231754,-1,-1,63491,23088,-1,-1,-1,-1,717501,-1,-1,-1,-1,862395,291834,-1,-1,-1,-1,668359,-1,429862,-1,-1,-1,-1,-1,-1,49925,-1,-1,-1,-1,-1,30645,-1,945688,876354,-1,-1,-1,103795,958436,533706,667018,463653,-1,110422,997310,-1,-1,-1,904796,-1,-1,284573,-1,-1,-1,604308,-1,-1,-1,-1,956351,493859,234421,808126,-1,843682,112550,-1,-1,-1,-1,-1,-1,222762,-1,957141,680916,-1,-1,-1,-1,168369,415627,-1,-1,-1,-1,-1,-1,-1,194882,-1,-1,-1,-1,210214,-1,-1,698467,781673,704847,-1,187417,-1,-1,860037,807260,504235,-1,-1,707386,-1,118454,33559,17803,589335,190431,-1,428567,110120,726302,-1,895811,-1,-1,-1,-1,957140,840922,929637,-1,171561,-1,994211,708071,600083,177753,-1,82642,-1,611143,-1,868105,416735,-1,846466,-1,-1,-1,-1,648799,-1,783242,885665,-1,-1,342173,683976,-1,-1,277561,254497,488342,-1,741288,-1,931494,816037,997919,-1,874130,329109,-1,188219,244198,-1,-1,212806,-1,-1,332606,-1,533829,966350,-1,769390,-1,126208,121968,-1,701905,182701,-1,499414,296149,699165,-1,-1,-1,151992,-1,-1,552007,625289,606105,202276,314792,510544,498825,774551,759425,471055,866651,-1,568539,285380,653092,-1,400660,-1,-1,59819,-1,-1,-1,-1,824185,467980,-1,681911,470241,-1,567019,425093,-1,-1,-1,598,826598,-1,-1,694054,661337,-1,422467,970289,-1,-1,-1,8620,899511,813750,446505,144097,-1,-1,-1,997632,-1,82450,303031,960490,123191,738506,755463,59827,-1,-1,-1,-1,-1,-1,-1,-1,503706,179279,-1,-1,-1,162338,-1,-1,-1,-1,-1,-1,541133,-1,486032,-1,-1,-1,-1,-1,570703,-1,78576,492449,45127,-1,-1,761304,170003,-1,-1,146866,-1,561534,594480,-1,8245,-1,-1,920867,-1,815129,296731,558008,633155,324441,-1,81254,984982,867993,984348,609006,507820,971550,-1,-1,918583,-1,-1,-1,-1,868016,543039,-1,608805,-1,-1,-1,-1,-1,884248,267769,-1,-1,529777,-1,175633,-1,-1,-1,-1,-1,425668,862950,356118,576396,493871,937390,386775,-1,48018,648898,-1,252107,-1,564568,559485,479999,-1,-1,255662,590665,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,888047,-1,-1,-1,951783,-1,-1,233906,69490,-1,-1,-1,862227,-1,172033,470028,746684,705121,-1,954204,117259,-1,-1,255228,-1,-1,331707,-1,-1,906008,-1,-1,796146,-1,-1,-1,786979,772262,141451,678801,-1,986297,511095,43747,657907,134839,-1,-1,-1,466484,692761,632916,403214,668058,74207,295201,-1,-1,-1,571504,-1,165909,114194,599720,256649,92725,998827,617152,-1,-1,703714,277326,721866,724348,703910,-1,-1,440236,862723,162517,892592,-1,828807,835440,-1,-1,-1,576030,-1,997908,-1,522757,998225,-1,-1,-1,978682,761882,-1,397435,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,574601,81133,5503,50891,850699,-1,407966,-1,761154,169173,7669,86540,-1,-1,111373,-1,-1,359837,-1,675967,204505,-1,511293,367964,613906,-1,-1,881097,-1,571561,56470,230295,-1,475572,890011,-1,-1,-1,-1,853219,-1,-1,-1,-1,-1,-1,-1,104631,-1,505940,-1,-1,735193,377608,409190,-1,-1,-1,901638,284645,484410,-1,-1,943230,245410,-1,549371,368583,977913,550710,746476,783381,-1,473824,881580,-1,821948,409262,-1,119113,646279,43368,143962,105521,614008,-1,-1,-1,-1,-1,-1,903734,923940,-1,-1,994145,487619,422430,656713,-1,-1,-1,-1,-1,773551,100338,215095,-1,967478,227804,509455,742785,-1,864721,-1,648112,-1,577082,-1,78987,-1,-1,-1,-1,-1,-1,-1,179102,798428,-1,118799,-1,575768,484842,905660,466107,-1,-1,419297,-1,916020,-1,193438,-1,94848,-1,918284,-1,-1,-1,896597,-1,594633,671273,466311,-1,-1,-1,352873,-1,61002,-1,-1,-1,768403,-1,109885,155515,787519,844911,-1,973997,-1,613658,-1,-1,-1,558648,466349,160316,-1,285011,182401,837065,-1,-1,-1,841524,-1,-1,665281,177176,481848,126089,984695,-1,436068,627759,-1,692613,-1,953780,-1,-1,-1,-1,-1,406431,-1,-1,174350,-1,-1,-1,582596,234961,-1,236419,508756,879709,-1,-1,-1,-1,-1,895158,-1,649577,-1,128433,665399,-1,-1,325103,-1,-1,643837,-1,-1,-1,-1,-1,-1,-1,602250,-1,185899,-1,593129,-1,-1,-1,-1,-1,-1,392704,790732,-1,-1,504852,-1,-1,-1,773992,-1,-1,779855,-1,-1,-1,-1,-1,-1,-1,774962,-1,-1,133439,-1,-1,-1,-1,-1,-1,-1,-1,543212,674876,-1,884912,2815,622985,-1,936271,541090,958555,210038,869462,-1,-1,-1,-1,41684,740628,-1,426656,864122,706726,-1,88998,506781,445036,-1,135468,-1,-1,427205,814195,-1,259109,-1,756603,471578,-1,-1,-1,831261,-1,-1,867982,-1,-1,64950,612064,-1,-1,49992,-1,-1,365100,369599,-1,-1,-1,572251,-1,-1,-1,208062,-1,327711,-1,153935,-1,808915,-1,234038,627837,448808,-1,-1,-1,-1,-1,884099,-1,881351,-1,24414,252494,80116,-1,-1,-1,966982,-1,210030,272082,-1,-1,204609,110467,-1,638351,413135,-1,-1,-1,232612,-1,401293,213686,-1,-1,-1,441019,142960,875626,213238,155579,-1,360523,-1,-1,330633,712925,391298,-1,-1,358459,7330,117041,-1,878336,730199,755593,895511,860847,-1,-1,165372,-1,223984,-1,-1,214058,304298,160405,838107,929892,626426,380162,-1,667264,377324,-1,-1,-1,45858,-1,571376,96883,596495,225106,682968,-1,310718,764534,-1,-1,-1,438620,833400,-1,-1,302933,-1,-1,979676,-1,-1,730464,700931,-1,-1,-1,-1,632103,335184,-1,-1,-1,66642,-1,-1,-1,917461,-1,-1,-1,543346,-1,-1,-1,-1,597227,739817,175714,-1,-1,-1,817433,836084,491159,-1,145582,-1,315285,-1,-1,45224,-1,133948,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,776994,-1,-1,346903,76243,334660,-1,832047,743789,-1,449517,-1,-1,858600,-1,-1,-1,837218,68049,-1,-1,-1,-1,397585,-1,-1,-1,-1,-1,-1,288253,-1,638173,368664,-1,-1,-1,482532,91862,-1,168109,-1,-1,-1,-1,325675,-1,-1,44555,969027,-1,-1,-1,-1,-1,893160,637703,-1,752784,-1,840265,-1,904428,310106,-1,882027,-1,909347,405723,-1,978205,368944,455443,217837,360459,-1,-1,-1,-1,-1,487473,965073,-1,-1,797919,-1,638256,-1,470194,-1,-1,-1,-1,-1,-1,-1,-1,839127,583578,-1,-1,628244,-1,-1,-1,10534,894351,836250,-1,-1,215927,653592,541606,102742,-1,-1,258045,74337,371157,-1,-1,282810,218644,-1,-1,72617,220552,509501,-1,393101,-1,-1,-1,258719,191350,370801,18291,429480,-1,-1,351821,-1,-1,464594,-1,86581,751534,-1,-1,413293,-1,28574,715698,491132,792982,-1,-1,-1,-1,-1,322578,-1,354573,516016,122050,-1,735522,-1,-1,-1,-1,286912,-1,-1,201195,901681,-1,392463,814420,331276,556933,536247,-1,-1,-1,39634,-1,-1,-1,-1,83811,378698,-1,-1,-1,306882,-1,152216,-1,-1,751328,762302,-1,-1,-1,-1,515948,-1,731578,-1,-1,387188,826261,-1,-1,492909,82943,672065,-1,-1,-1,541452,906273,-1,-1,-1,-1,35048,-1,445930,731116,-1,-1,-1,209144,-1,-1,482689,-1,863903,937292,685690,1771,480590,119674,544008,45921,-1,580632,-1,-1,-1,735116,-1,-1,664265,647568,-1,-1,-1,-1,-1,583955,853033,432509,-1,365492,-1,948605,-1,-1,147956,-1,-1,-1,-1,-1,-1,760239,-1,-1,-1,-1,423639,78598,-1,330000,144373,-1,230675,-1,90989,-1,55040,-1,875386,230786,-1,564687,-1,225509,-1,-1,89195,837398,-1,-1,-1,-1,786941,-1,804097,289797,-1,461652,-1,78490,703621,-1,-1,695400,647155,-1,763137,35445,-1,-1,-1,497875,-1,-1,-1,412672,-1,433245,902346,521380,307902,-1,564151,-1,-1,653623,-1,-1,741221,114784,60860,766572,-1,-1,-1,684740,-1,-1,962393,-1,788318,-1,-1,-1,-1,915747,969244,571695,494243,63169,80697,-1,684812,-1,174140,702555,-1,725361,810690,891096,-1,-1,527033,-1,-1,197936,-1,-1,123797,-1,324440,-1,946991,44878,-1,354416,-1,-1,620241,-1,-1,-1,499847,274899,-1,-1,-1,-1,679846,-1,-1,823154,804631,17239,-1,-1,364204,-1,247707,-1,-1,-1,-1,-1,25450,-1,-1,301068,-1,677379,-1,-1,-1,972709,-1,-1,-1,467171,232667,-1,108311,668639,692742,783939,16864,-1,-1,830845,-1,-1,48587,979431,284558,523244,823010,-1,891645,663962,63841,51288,87150,-1,788553,823191,1283,701868,560791,-1,298027,-1,-1,-1,5286,957926,840211,397062,463746,601064,314383,951220,714656,956810,264509,-1,-1,23351,722090,-1,186429,382990,-1,99769,698870,-1,-1,-1,317698,813816,-1,-1,-1,-1,-1,332402,-1,-1,252280,-1,-1,-1,-1,500126,556970,629288,858735,586663,850290,-1,-1,645782,-1,236789,-1,590488,930073,-1,-1,-1,-1,4475,475569,486590,-1,-1,-1,-1,-1,-1,667958,593692,477794,701111,-1,162650,997895,86876,-1,74167,414907,-1,-1,-1,829070,-1,-1,437487,-1,541101,-1,213272,-1,-1,-1,910296,-1,-1,-1,-1,368562,528150,-1,398542,-1,406467,398980,-1,384851,794253,-1,-1,-1,-1,789177,218932,438059,-1,-1,687503,-1,-1,-1,688444,565305,-1,-1,-1,708406,177873,-1,-1,88930,-1,-1,528723,422834,-1,-1,-1,-1,868043,753820,550399,-1,-1,569712,-1,-1,-1,308099,-1,-1,567110,159791,-1,-1,245912,-1,-1,-1,-1,485050,918196,-1,-1,-1,-1,-1,-1,512337,505946,224184,205303,474091,904787,154487,-1,934665,184505,-1,290327,-1,-1,917534,-1,-1,-1,787371,-1,521907,94384,21303,562621,-1,650600,-1,397527,772682,122550,762860,903040,-1,-1,-1,-1,-1,-1,755932,30158,-1,-1,-1,54685,233572,138338,-1,-1,-1,471978,145998,-1,869940,-1,-1,-1,878008,92678,-1,464806,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,642940,487642,-1,-1,159896,-1,878072,-1,715412,100681,152414,74825,-1,-1,710411,-1,635052,291408,678671,-1,795276,-1,-1,481810,425432,817422,-1,827431,-1,598246,341531,-1,-1,585215,-1,724656,-1,293558,126121,-1,719955,-1,428327,930100,-1,617122,-1,475091,-1,-1,-1,-1,184078,-1,57101,-1,-1,-1,305230,-1,578690,820135,79723,-1,-1,-1,-1,253583,362448,-1,-1,610142,312467,-1,205442,-1,442367,-1,295964,176179,106872,-1,672529,420805,-1,-1,-1,-1,725654,346469,-1,625228,997097,339946,866634,-1,131087,-1,838861,846377,-1,-1,466363,-1,392890,403976,954566,-1,109003,-1,-1,-1,-1,-1,-1,403819,234301,581986,762230,571282,718050,-1,864340,-1,-1,-1,-1,-1,568825,-1,-1,475713,-1,-1,-1,388583,498857,-1,440242,-1,889166,918011,-1,295240,381270,644267,153287,319795,-1,740973,-1,-1,-1,-1,838338,-1,993229,456269,675218,245721,500178,-1,224743,430863,-1,-1,182411,-1,-1,-1,-1,776791,-1,632104,963163,565488,-1,380362,-1,456943,-1,-1,19629,-1,-1,401447,213610,-1,804503,-1,64254,-1,285884,-1,-1,-1,193507,802591,829193,-1,-1,68055,183861,-1,-1,277614,642033,285186,782534,251374,29691,-1,55358,-1,479749,343429,838436,-1,-1,110717,930494,849522,326466,534139,859840,375452,877686,-1,537063,-1,-1,-1,852055,261018,-1,290737,260394,652975,757914,203127,435131,652874,313587,-1,-1,-1,460979,-1,57401,-1,315052,-1,-1,-1,735971,281148,820889,173334,-1,151075,977142,-1,959597,96646,-1,511687,-1,28993,-1,-1,-1,-1,-1,-1,-1,25564,-1,-1,-1,273207,414076,450466,-1,-1,217958,520912,793010,-1,979194,923818,-1,998977,-1,-1,70256,701625,-1,698934,368034,-1,-1,196160,719195,-1,508326,-1,802783,-1,-1,-1,357509,-1,-1,477273,223461,-1,162719,-1,-1,404847,-1,512372,-1,818661,-1,590149,-1,104448,252012,359319,439374,-1,-1,148774,294989,-1,574463,734932,-1,59735,-1,525143,-1,-1,516641,-1,-1,367079,829074,404597,-1,554438,-1,-1,-1,276019,345996,-1,177003,-1,-1,255105,-1,-1,263209,126820,-1,-1,-1,423224,-1,311146,171372,392028,-1,958855,722409,-1,32833,425885,380321,-1,-1,-1,775898,-1,-1,-1,-1,-1,-1,-1,436299,-1,-1,-1,713905,19571,334490,-1,816205,-1,-1,-1,369002,557259,912171,760656,-1,-1,148350,901329,367155,-1,-1,-1,-1,-1,94927,-1,536202,-1,130970,-1,-1,744119,-1,-1,-1,-1,-1,257123,-1,-1,-1,-1,-1,788175,-1,-1,214001,-1,-1,-1,652615,-1,676634,896444,-1,-1,-1,142897,-1,322221,252962,674734,-1,598987,522772,884016,-1,-1,185772,-1,76009,-1,-1,822594,334874,-1,-1,-1,-1,610847,-1,70973,937337,151952,-1,-1,-1,-1,-1,-1,865440,296811,-1,-1,-1,856335,98077,-1,649920,-1,852074,-1,-1,-1,844886,428320,902188,-1,344148,87133,-1,99465,617205,515930,750294,901919,-1,-1,-1,686349,192765,-1,159528,491436,-1,923650,671848,-1,916343,-1,708204,-1,-1,686478,-1,-1,-1,-1,825552,-1,-1,-1,588884,301010,-1,40565,965843,-1,641295,843557,287930,151096,708063,-1,-1,426665,-1,566237,947178,-1,-1,-1,-1,256803,629001,243094,-1,125127,427041,-1,-1,-1,-1,-1,667604,788171,-1,-1,-1,-1,-1,-1,-1,688467,-1,521820,294721,570896,858295,-1,555585,-1,-1,-1,314674,350381,591759,933874,949915,-1,564628,959640,-1,554566,-1,-1,143982,-1,-1,-1,321082,936672,930881,251911,521662,-1,713516,-1,21036,-1,-1,-1,609370,-1,-1,536124,774821,-1,-1,269717,622359,440284,104989,-1,-1,-1,-1,-1,-1,899832,-1,-1,-1,134052,-1,-1,546266,-1,118964,-1,-1,319259,-1,-1,-1,-1,148849,673938,-1,-1,-1,123614,626932,-1,345682,-1,-1,306369,-1,592667,49328,22228,-1,-1,-1,-1,662468,-1,-1,-1,-1,-1,-1,-1,-1,-1,230833,951667,-1,810653,-1,-1,-1,-1,-1,315280,-1,-1,620038,-1,977895,580185,208692,-1,-1,-1,-1,-1,684957,895219,-1,-1,877770,48571,-1,312926,-1,-1,365988,-1,941355,-1,153228,905091,-1,832910,-1,-1,577878,-1,-1,740332,-1,-1,-1,264064,-1,-1,-1,-1,871490,-1,803798,-1,296115,-1,-1,-1,583059,-1,-1,845520,563124,839318,-1,182713,779620,-1,-1,-1,-1,-1,-1,439724,667786,-1,663862,-1,536727,475801,-1,-1,844961,57027,559267,-1,-1,-1,-1,121267,50550,70509,-1,407450,980560,24689,-1,-1,7619,-1,894173,222353,-1,-1,906498,241380,456053,794185,-1,-1,428346,857519,312962,-1,929106,-1,711016,999168,-1,389677,-1,242688,-1,655934,646607,-1,-1,-1,557529,-1,-1,-1,932043,-1,-1,-1,878808,368716,900738,195042,-1,-1,-1,-1,773751,890007,-1,598200,-1,526344,807853,-1,-1,-1,307291,410453,428159,584782,-1,254867,-1,208397,-1,-1,688546,-1,-1,-1,-1,981331,714419,-1,949033,370504,-1,-1,306053,-1,566832,-1,-1,332565,-1,-1,119163,720858,517175,790870,-1,250469,-1,-1,42042,348342,57786,534287,-1,-1,-1,199562,726605,402577,752146,-1,63430,-1,310552,397463,-1,207637,656714,587020,-1,-1,359248,-1,-1,197078,360767,-1,151211,981478,138768,-1,-1,-1,-1,-1,627177,-1,293040,-1,-1,756548,86170,883973,968950,690222,389839,-1,-1,-1,161906,179466,671448,207966,-1,701719,880054,646750,587302,-1,-1,609601,-1,230048,247165,-1,496073,-1,790491,-1,436859,-1,548099,-1,-1,936385,379599,-1,939457,-1,-1,936238,945411,-1,656058,46623,424943,584216,777299,-1,-1,-1,993288,393857,-1,-1,-1,-1,-1,662036,-1,-1,-1,-1,194886,25323,-1,68203,-1,624321,284115,105209,-1,-1,9951,-1,458453,915442,577504,-1,838943,264043,-1,-1,-1,281314,-1,105467,721935,488510,298105,-1,300837,341178,905621,-1,836323,535081,644486,730045,-1,-1,130163,-1,-1,237618,334880,-1,-1,802879,700277,771338,-1,-1,-1,389480,223940,-1,-1,-1,-1,-1,33366,380078,-1,-1,434081,-1,458411,-1,-1,851801,-1,-1,414636,-1,-1,-1,-1,330397,-1,866458,-1,-1,-1,285154,-1,-1,995897,381181,430372,-1,224230,191214,377972,-1,817952,-1,251812,242803,441206,350574,526030,-1,-1,195555,-1,498241,190487,-1,780369,-1,-1,447840,801146,601839,23186,-1,-1,69613,-1,29070,-1,-1,-1,789044,-1,772131,185611,-1,792367,821408,328677,433415,-1,-1,-1,-1,180317,277930,-1,520826,-1,542356,-1,-1,432697,99172,223936,965411,814995,937589,197181,725293,346864,734348,-1,-1,-1,-1,868325,313133,-1,600515,923224,-1,267572,-1,-1,808750,478838,862411,551489,275523,856125,-1,-1,934113,464193,-1,-1,537581,-1,503447,154075,134745,-1,625136,309270,670476,-1,967885,-1,-1,883940,939273,940618,-1,-1,-1,109983,-1,104794,637772,184571,-1,-1,-1,323991,-1,718176,-1,-1,88759,-1,-1,-1,831559,-1,-1,-1,304140,173007,874816,887045,-1,357975,-1,616894,-1,-1,-1,-1,83375,47895,-1,61471,-1,52548,339621,801698,648111,418899,184279,-1,913837,877259,-1,-1,224466,929846,115885,257441,-1,-1,-1,371718,-1,33748,-1,-1,-1,538820,-1,876578,-1,62860,471308,912110,772987,-1,599809,-1,-1,760607,560054,784071,445733,248732,-1,-1,-1,-1,-1,-1,35318,862132,-1,-1,-1,-1,-1,780034,16967,813094,-1,-1,-1,890316,-1,614573,-1,529705,677575,-1,-1,628891,369968,-1,-1,-1,10815,-1,560145,-1,-1,-1,861560,436351,889723,618048,790240,700937,-1,964722,999297,-1,-1,98058,783782,435135,288396,-1,250770,-1,-1,511713,-1,53229,864310,-1,316001,-1,-1,393694,-1,147841,-1,-1,-1,450073,601452,618438,618867,956707,932557,-1,-1,904190,-1,197668,-1,-1,-1,225437,-1,210084,910284,-1,666544,154132,-1,885274,-1,140682,-1,699105,912043,-1,-1,-1,252868,-1,-1,-1,-1,478198,666025,-1,452906,116725,-1,148701,-1,658005,741025,-1,688870,-1,188971,-1,-1,-1,184096,-1,-1,437076,-1,-1,-1,676469,-1,611936,736941,505621,-1,-1,-1,387304,982076,456757,163694,350167,-1,258593,976560,193822,-1,-1,-1,-1,-1,823797,624863,-1,772852,656879,-1,-1,-1,237597,681419,-1,-1,108364,168622,563759,679339,337916,988473,394755,61213,566880,-1,-1,-1,-1,216706,-1,-1,404783,-1,350295,-1,823794,-1,-1,235347,-1,487580,967450,-1,712935,-1,-1,-1,-1,360476,-1,384185,-1,-1,-1,319003,488964,-1,-1,-1,234939,-1,-1,-1,353085,-1,-1,633288,-1,344468,938285,-1,559599,-1,-1,-1,-1,606776,630393,518796,14631,-1,26935,382999,-1,-1,-1,238327,-1,758915,529671,432100,-1,780149,934671,554645,-1,-1,-1,496920,-1,-1,-1,44685,-1,546023,557457,511014,207113,-1,342910,-1,-1,-1,969998,658382,-1,-1,832017,-1,-1,990711,-1,-1,391472,38839,-1,121122,-1,-1,-1,-1,-1,-1,-1,878606,450355,-1,266291,654468,-1,-1,-1,404072,240478,-1,34990,403509,388896,898765,220535,41381,277984,-1,-1,-1,-1,666558,290956,183528,-1,529683,-1,548694,392368,-1,619138,666115,-1,387283,148560,14346,-1,422162,-1,-1,-1,934724,949879,205353,-1,553064,856753,-1,-1,386774,617698,-1,594911,-1,-1,-1,-1,995757,-1,-1,-1,165839,719193,-1,801923,-1,935390,-1,190934,-1,-1,314130,-1,148633,-1,-1,-1,665747,94814,-1,-1,548518,920499,-1,-1,-1,193573,-1,-1,-1,-1,61499,-1,-1,-1,-1,886650,-1,76846,96110,-1,-1,91413,-1,127938,-1,-1,-1,898077,-1,-1,866896,-1,511110,228154,-1,558013,-1,-1,-1,623580,-1,797818,429603,-1,-1,422387,51991,-1,877319,220930,-1,-1,-1,480249,-1,387051,-1,-1,-1,332823,510032,-1,-1,780644,889817,765538,-1,-1,613395,325303,249100,-1,-1,661730,369775,26590,-1,150162,769976,384606,-1,274416,600040,888373,495627,-1,-1,-1,-1,-1,304581,372937,-1,742881,-1,72742,-1,695370,10462,-1,766839,547935,-1,-1,771480,-1,118829,937092,685229,69784,625877,547735,-1,165035,506940,597647,675058,208188,-1,-1,521223,925384,-1,214495,85961,773353,189657,358749,-1,-1,-1,-1,-1,-1,-1,378191,832566,415361,-1,72162,-1,-1,951809,-1,467540,-1,376163,743412,310321,157102,-1,365211,456382,431495,-1,-1,996948,778967,-1,-1,-1,-1,-1,-1,-1,-1,478577,-1,559161,-1,-1,-1,632011,964326,-1,363089,-1,569570,658356,-1,-1,-1,73906,-1,-1,242150,-1,-1,430944,-1,965616,266301,-1,394661,-1,-1,-1,-1,680804,872654,512357,892073,-1,331841,-1,238479,670412,363463,-1,-1,-1,994522,-1,-1,-1,136057,211146,-1,-1,394880,439362,-1,801019,-1,-1,-1,116018,968688,507943,630076,-1,927697,-1,-1,567468,-1,-1,199695,-1,148045,535896,-1,281422,943512,-1,83647,671741,-1,256083,939642,-1,777315,601600,879987,535943,-1,414384,-1,200517,904336,168199,227318,-1,-1,632860,-1,928220,569842,415775,859569,-1,116583,32967,420203,-1,891098,-1,-1,966996,333722,177227,947500,-1,949622,280135,268051,-1,-1,199311,-1,451197,888941,-1,-1,-1,-1,-1,-1,-1,-1,124939,564139,844947,107389,-1,191263,-1,959924,-1,363994,915484,46814,-1,-1,450346,-1,400809,782552,488740,365271,878657,331932,-1,-1,310216,76006,313304,-1,953027,116818,758864,-1,-1,946566,653773,-1,-1,759316,874630,-1,89960,884979,-1,-1,-1,-1,386810,9841,-1,88943,-1,-1,719769,-1,935968,-1,712032,-1,-1,90981,-1,-1,360577,-1,360212,-1,879722,-1,-1,855754,-1,625575,83727,-1,550151,-1,752914,377676,-1,-1,4874,705971,-1,846017,-1,183454,275516,705403,-1,-1,-1,-1,-1,814293,393219,456655,-1,-1,316637,27928,-1,473260,464178,-1,-1,-1,-1,-1,-1,-1,-1,434198,-1,-1,-1,-1,29010,179618,215907,496461,837335,587286,784435,565054,-1,-1,63470,730175,-1,-1,-1,-1,545883,-1,-1,-1,288358,-1,-1,357265,491294,33317,696561,991906,-1,-1,388496,-1,-1,-1,-1,738456,-1,-1,899458,-1,-1,569762,413850,-1,645237,-1,919556,990107,98949,-1,-1,712708,-1,-1,-1,-1,87511,202837,-1,-1,-1,554867,319017,-1,215284,509753,831642,-1,-1,-1,87945,389720,-1,105868,45070,459995,147872,-1,-1,270010,-1,-1,93839,-1,-1,-1,488890,-1,-1,39075,691931,-1,426919,469946,-1,180994,528505,170259,456412,344123,-1,992536,578237,-1,-1,-1,126365,-1,-1,534159,201178,-1,858674,975759,493463,-1,-1,386928,319730,-1,-1,-1,-1,-1,42014,-1,962845,-1,-1,276554,145935,-1,339845,-1,682519,669439,462208,161442,-1,478460,56471,385046,-1,737658,186742,857726,173458,943413,-1,390362,-1,-1,855008,-1,-1,-1,569835,-1,391649,258700,988951,-1,543660,980686,-1,361102,40274,812967,-1,-1,-1,172962,21679,-1,-1,600365,-1,-1,691999,491938,753627,336040,476220,-1,681261,-1,-1,283308,-1,-1,401762,-1,-1,212761,528760,-1,477460,-1,-1,46719,-1,-1,-1,-1,-1,-1,-1,-1,897902,201507,200896,-1,159311,-1,-1,179040,-1,357158,408017,846678,250782,198158,57603,707877,-1,439778,-1,634594,-1,726412,196679,-1,524308,503852,-1,734358,-1,792174,-1,-1,-1,-1,542663,557191,-1,-1,81753,611939,-1,-1,-1,284786,-1,-1,624706,-1,-1,750149,-1,92297,564360,-1,-1,581648,-1,-1,-1,397618,804581,704496,449380,213736,739685,856997,904110,382803,391679,-1,-1,627936,-1,-1,394454,725732,863972,-1,507161,-1,131367,-1,-1,439709,170,-1,-1,-1,982022,650184,-1,-1,-1,733816,240161,186158,-1,584946,-1,-1,-1,-1,-1,743336,-1,-1,91013,-1,165561,-1,73961,560126,-1,-1,-1,-1,-1,256100,796527,-1,995127,-1,359204,-1,618752,-1,982518,162978,-1,582967,-1,-1,-1,-1,-1,737230,-1,553650,-1,-1,797256,859116,779491,-1,-1,108154,-1,-1,-1,-1,896570,779487,-1,558117,-1,796371,-1,56083,-1,914463,947469,995635,-1,-1,261262,-1,851967,-1,-1,418296,-1,657981,-1,-1,682184,-1,869773,-1,-1,-1,190992,-1,933812,-1,444844,-1,-1,-1,-1,-1,-1,14681,504062,-1,-1,-1,811032,-1,207510,-1,927301,-1,-1,-1,-1,-1,732523,953658,531837,-1,186942,-1,-1,802211,-1,957674,-1,627767,-1,-1,-1,-1,972985,-1,866761,355499,-1,-1,-1,906303,-1,-1,851626,800491,-1,-1,-1,24355,693382,-1,-1,638657,421206,287916,513754,132558,-1,448640,105044,-1,-1,963281,419346,-1,-1,-1,92352,85128,-1,-1,-1,-1,942376,64706,-1,526394,-1,-1,197780,-1,929035,-1,341514,742386,-1,-1,105638,-1,924444,-1,-1,791330,-1,779194,-1,-1,-1,646290,-1,-1,137261,-1,369101,341695,164340,-1,-1,-1,-1,375757,-1,-1,158355,-1,983744,306859,-1,-1,701390,-1,-1,-1,-1,-1,411025,-1,-1,-1,-1,812698,-1,-1,238162,472984,823994,607250,-1,902146,951350,462265,-1,-1,-1,-1,-1,-1,-1,742594,81657,303565,-1,-1,383031,-1,189360,-1,-1,-1,324180,536429,336596,-1,873111,645496,-1,202118,-1,-1,394707,739521,951438,634307,125080,132406,94433,705620,977526,-1,-1,-1,-1,-1,-1,718682,739780,-1,952470,359692,-1,324906,542023,694570,607977,146869,116276,212346,-1,-1,-1,-1,782891,-1,-1,-1,-1,958434,810394,-1,615738,-1,516316,659670,567601,-1,-1,776681,353874,597801,819368,852261,608226,2899,473746,761183,639407,599825,354826,-1,424876,-1,421592,-1,216207,195838,-1,-1,977631,-1,470565,179430,421236,742844,-1,-1,160849,577923,-1,975665,-1,-1,319014,177101,348797,-1,717932,-1,-1,-1,-1,-1,167925,650861,-1,-1,-1,528629,346988,957698,-1,-1,505320,-1,96819,-1,160702,-1,-1,529968,-1,751221,-1,827390,465055,630231,238952,-1,804033,-1,-1,-1,-1,38793,-1,10365,-1,436664,-1,-1,-1,144685,744116,-1,343209,259239,918443,-1,213591,670023,860401,839732,183613,669732,-1,376525,641186,-1,-1,-1,-1,-1,26868,-1,276728,487757,-1,-1,-1,-1,532195,-1,799477,-1,-1,-1,179296,204000,-1,-1,889412,192426,66265,262963,-1,-1,688069,-1,-1,806103,-1,-1,-1,-1,-1,-1,201400,-1,180216,480207,723532,936416,-1,-1,-1,608022,344209,-1,-1,-1,-1,-1,551630,-1,-1,321703,-1,-1,344424,-1,297772,-1,568312,-1,-1,215565,664321,-1,432335,-1,-1,998749,367138,375446,-1,628802,124763,-1,61734,-1,-1,831933,33921,-1,-1,-1,-1,333851,-1,-1,-1,759005,611955,-1,-1,891113,-1,-1,844671,484027,287141,-1,721078,-1,20690,-1,-1,-1,859623,-1,689614,-1,832202,-1,-1,913012,854539,131723,-1,104763,165216,-1,-1,403554,-1,-1,965951,754908,-1,-1,126007,345275,808822,-1,488427,-1,162514,635738,769765,838767,-1,686521,-1,-1,956067,732750,334993,-1,-1,-1,278862,264362,21567,866915,-1,-1,-1,-1,291610,-1,105045,442826,524203,262578,828997,-1,745259,-1,531137,692183,-1,-1,-1,-1,681513,-1,275091,927382,72339,526873,-1,125842,-1,-1,155114,339216,209096,-1,690883,572730,251,342242,927653,982214,176285,-1,886781,-1,-1,-1,-1,84801,472912,405536,93750,310408,128967,234228,-1,354463,-1,173056,371745,85723,460008,580370,51462,-1,706933,256027,44572,85806,370759,407217,-1,-1,185997,-1,-1,247931,-1,-1,-1,-1,-1,-1,868667,-1,-1,-1,-1,307222,-1,-1,-1,27212,162653,-1,-1,438067,-1,148526,899749,298514,-1,279331,437414,-1,-1,-1,-1,-1,-1,309117,461360,-1,-1,-1,-1,391530,157431,-1,810508,-1,187182,-1,760986,-1,414206,-1,909341,696242,-1,711961,654683,-1,-1,126995,770336,446728,-1,140623,-1,-1,-1,-1,-1,-1,-1,708674,789404,-1,729279,951023,-1,-1,14522,427340,233514,922026,-1,-1,781472,-1,-1,226529,601036,602403,816057,-1,444560,-1,-1,893264,-1,-1,-1,713935,55889,-1,-1,825380,588639,-1,59188,-1,-1,903532,-1,8325,-1,931894,-1,569800,-1,825998,-1,-1,-1,398190,-1,-1,-1,723939,-1,-1,-1,822027,50721,970096,888393,-1,351256,-1,-1,-1,622816,619710,-1,620447,-1,-1,-1,236397,-1,-1,-1,-1,-1,-1,-1,772560,722746,-1,-1,60631,-1,856897,319688,-1,937685,-1,-1,-1,-1,-1,903863,-1,979861,465343,768575,-1,-1,243403,665050,-1,-1,610207,-1,-1,398251,558170,950659,681040,243976,-1,-1,-1,432490,-1,428323,330178,-1,-1,-1,-1,973714,-1,155975,-1,-1,495297,-1,454044,157004,-1,191697,-1,198209,423990,-1,-1,466042,543626,858016,893015,713486,593407,-1,-1,726734,766582,36801,739302,-1,-1,-1,-1,298541,-1,136800,-1,103600,-1,-1,27352,477983,-1,562280,-1,438871,-1,-1,-1,436040,-1,560237,-1,-1,-1,-1,-1,-1,892084,-1,-1,-1,-1,-1,735148,116955,-1,227376,700528,-1,-1,748949,478508,288722,-1,-1,293892,-1,958355,-1,-1,-1,627233,-1,412938,403267,953202,211921,-1,-1,-1,34012,-1,-1,-1,873194,-1,694048,444382,573912,-1,-1,574385,-1,-1,947992,598467,355820,340118,-1,452165,-1,738369,618339,565392,636576,-1,-1,788759,241155,-1,715516,-1,112259,-1,-1,-1,501959,-1,-1,-1,-1,-1,674109,200428,-1,80739,-1,-1,-1,-1,-1,-1,595253,-1,-1,950004,-1,194234,-1,-1,727992,109156,523606,81690,160281,-1,622059,844428,157603,489386,75637,952822,492283,548629,-1,-1,-1,-1,-1,978217,955346,755783,-1,-1,-1,-1,-1,388888,303198,-1,570159,117626,-1,181788,752327,-1,672538,-1,-1,-1,-1,-1,81159,197617,-1,-1,124884,850362,-1,-1,744955,838020,13601,-1,273276,319515,806866,758766,-1,-1,357180,-1,877925,-1,254190,-1,88387,-1,-1,-1,-1,740916,681733,767419,-1,-1,-1,648324,-1,-1,697018,495950,-1,-1,-1,-1,117614,-1,725681,501975,330032,-1,501142,36751,121453,983460,490449,-1,-1,163977,477604,189090,841733,595379,173624,-1,-1,752253,-1,402251,-1,-1,-1,-1,866179,766765,607418,749270,-1,-1,285903,569108,386060,-1,-1,-1,962145,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,353597,-1,-1,161394,-1,971944,-1,-1,47874,-1,22215,452367,-1,469263,336191,-1,-1,406587,-1,191611,-1,206052,920711,973010,-1,404822,-1,590421,687651,6447,907893,-1,942638,591095,-1,973634,585309,48811,714347,-1,-1,845452,820339,-1,-1,733145,-1,-1,590756,165365,-1,-1,711742,770628,-1,-1,879669,-1,-1,-1,-1,733812,350008,-1,-1,582539,-1,585108,592687,433848,629790,70566,210390,639996,350556,831744,-1,-1,324917,672470,-1,-1,302767,322649,-1,-1,973641,-1,-1,960627,-1,-1,795964,50504,-1,-1,516585,-1,14985,853393,-1,799312,786645,-1,228184,-1,62130,934394,-1,-1,-1,-1,193374,906412,-1,-1,944788,-1,999672,-1,-1,272415,348904,-1,-1,219178,489840,-1,-1,510134,-1,-1,585337,-1,-1,786813,-1,295557,296478,-1,-1,167973,-1,912789,910814,-1,-1,-1,150809,641484,402612,-1,343397,-1,-1,727920,-1,-1,415984,307256,599571,209805,294986,-1,735697,-1,489396,59628,923761,-1,-1,-1,235848,741296,226809,-1,-1,-1,-1,388068,300399,171638,-1,470979,214321,-1,903124,296693,955709,-1,-1,94157,-1,373229,-1,795687,-1,215303,15302,17265,-1,-1,817383,-1,-1,-1,-1,222716,-1,351273,-1,-1,-1,46111,-1,107609,-1,690102,-1,731062,-1,-1,292480,-1,581711,343889,123093,-1,730913,-1,-1,267180,78312,-1,752837,22430,139963,447236,-1,-1,-1,-1,-1,-1,-1,558399,676608,739586,-1,757237,-1,209746,-1,21955,176892,-1,-1,-1,11622,-1,154202,456183,-1,263780,-1,-1,56674,-1,397195,-1,107100,228126,-1,-1,-1,670087,-1,756041,939009,88318,-1,514562,-1,925563,-1,132797,112203,824062,762859,429875,-1,-1,630790,-1,-1,404451,986564,-1,-1,-1,623488,-1,-1,-1,-1,-1,-1,-1,-1,-1,246006,467710,-1,-1,-1,626626,-1,-1,278033,-1,803613,-1,-1,-1,603007,-1,190917,-1,253784,847541,169771,-1,-1,-1,690077,868575,-1,-1,729182,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,940380,186839,-1,-1,-1,432176,985644,594066,254656,-1,-1,-1,-1,318460,-1,-1,312857,730236,-1,590055,458499,-1,900990,-1,-1,987819,618,602762,291269,-1,-1,396179,-1,-1,-1,-1,-1,-1,-1,-1,-1,617136,377041,-1,53488,-1,-1,-1,163175,305524,256132,-1,-1,662388,212618,409703,-1,174037,-1,-1,1737,571054,-1,581530,-1,-1,-1,-1,-1,-1,510127,439046,-1,-1,-1,-1,155473,237146,401614,46282,-1,519569,465417,-1,-1,649737,814383,675464,545330,299766,298845,-1,910515,358529,-1,-1,-1,976935,756501,-1,-1,-1,-1,449746,584531,625346,-1,928723,257016,-1,486896,685159,159621,788204,-1,-1,-1,61021,-1,-1,914383,838986,-1,-1,535153,-1,510180,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,816846,-1,755644,-1,784319,-1,-1,290159,-1,-1,-1,290661,679839,586186,501195,-1,-1,-1,236300,204410,62345,-1,959508,-1,793152,166594,104004,305436,208806,-1,841314,-1,-1,327293,-1,-1,736885,-1,-1,789904,-1,407651,-1,-1,-1,296170,-1,-1,542998,97905,404337,574661,989711,-1,-1,321229,410784,-1,427082,-1,63228,-1,810465,307904,-1,180516,512057,9936,-1,-1,-1,-1,734530,-1,716242,405778,281385,-1,-1,-1,-1,926665,586699,-1,454814,780075,-1,-1,-1,-1,-1,-1,792477,922660,196324,440319,785611,356776,623721,-1,129196,637159,562181,203521,-1,118118,722776,429055,833964,698092,975477,349286,393639,-1,584372,-1,-1,323391,318963,-1,111185,-1,-1,-1,-1,287368,851806,551209,567718,580262,-1,530179,387859,-1,190057,-1,57384,-1,-1,-1,-1,150748,843605,941561,-1,600203,-1,-1,-1,-1,-1,-1,159771,-1,-1,365625,-1,-1,-1,-1,776131,734217,-1,-1,577413,440542,378628,497217,-1,563956,-1,-1,-1,546825,-1,36544,82294,415797,-1,-1,574042,-1,686753,-1,-1,425128,-1,252152,790599,898443,69946,611243,-1,262834,958585,772323,-1,-1,-1,328186,-1,-1,-1,-1,276991,57583,910582,-1,-1,72967,730908,530129,-1,975397,-1,-1,6210,-1,-1,-1,-1,-1,-1,257158,-1,432835,238506,-1,6376,-1,816233,-1,-1,-1,-1,-1,-1,-1,570982,-1,934045,-1,-1,876912,177636,-1,521943,-1,556741,-1,455925,-1,-1,-1,256588,785970,-1,-1,133051,472059,461973,718957,844917,-1,538279,203187,-1,442809,-1,-1,889362,-1,174117,-1,-1,120236,628078,491500,-1,-1,219083,-1,-1,934815,408801,591211,508663,869245,-1,850802,-1,171666,-1,-1,82326,-1,-1,-1,144164,199388,-1,-1,-1,-1,38521,-1,386646,300179,-1,-1,591887,2661,424071,-1,15411,467019,661979,-1,756678,-1,237507,-1,-1,105034,432474,-1,145949,369478,526665,-1,-1,609347,221961,680155,-1,-1,-1,804854,848283,834277,-1,-1,-1,657498,483137,-1,390057,732526,-1,840227,754878,-1,-1,834318,616852,-1,-1,-1,-1,-1,-1,124255,700932,272231,-1,40679,-1,674910,-1,745543,578213,-1,435896,334002,480493,-1,868404,-1,-1,74828,641512,-1,293921,749858,974510,985417,331566,-1,370933,-1,454525,-1,-1,975518,282716,-1,938707,-1,-1,-1,513333,2147,47010,13603,-1,-1,281789,-1,428734,-1,690341,447175,269056,-1,-1,-1,250559,-1,-1,-1,-1,-1,528827,355734,-1,456972,997307,-1,746611,-1,262467,330365,680161,-1,780947,844210,136265,-1,926863,722056,-1,385636,179289,-1,140567,244830,93620,295459,49319,466958,643905,10893,678390,194872,-1,390433,-1,235902,688284,-1,-1,-1,453004,322756,-1,560010,593489,219634,516580,929325,777748,851879,-1,-1,134750,699044,210515,249146,654743,64608,24632,-1,-1,-1,-1,856715,620800,-1,-1,39274,719466,91363,984290,-1,913994,-1,661535,-1,116032,266648,-1,624357,-1,809313,977968,296281,78937,108913,-1,805914,-1,-1,371794,882682,-1,-1,-1,-1,-1,907258,-1,611526,-1,446504,593465,340004,-1,129173,688850,-1,911040,944393,572279,-1,355759,-1,742033,-1,324491,584251,737478,-1,-1,-1,-1,-1,-1,-1,-1,-1,570257,-1,978211,474847,-1,-1,-1,447275,-1,-1,-1,-1,677159,-1,179161,260695,-1,428819,-1,-1,-1,84162,-1,-1,195508,-1,-1,723133,503173,898104,-1,-1,-1,-1,812700,-1,-1,494224,913985,-1,-1,430936,-1,-1,-1,52006,-1,912078,-1,902402,-1,-1,523199,31312,696452,-1,-1,864424,-1,-1,-1,-1,-1,100915,-1,372137,243554,-1,-1,938968,-1,597503,-1,88987,711570,-1,-1,-1,897050,96528,-1,749991,964787,800640,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,585724,573832,708983,857274,341747,-1,-1,851509,-1,-1,-1,-1,636281,-1,425125,158120,-1,937467,245494,-1,-1,-1,792926,550525,940806,-1,-1,405553,752923,-1,-1,316703,886599,109470,-1,-1,-1,-1,281990,-1,193851,-1,-1,621428,-1,-1,-1,559341,-1,-1,-1,-1,-1,-1,-1,516421,338093,973998,173181,387825,418041,-1,-1,221201,-1,960219,-1,430646,-1,761488,633064,937238,525893,276071,967124,-1,-1,214653,-1,-1,991818,-1,-1,-1,897396,867182,885703,-1,-1,-1,-1,686679,-1,-1,-1,332036,-1,996384,109315,-1,368870,242917,528447,-1,470210,189346,-1,-1,-1,-1,-1,-1,986001,-1,888815,408573,128151,-1,-1,526981,663684,-1,-1,868179,548429,-1,-1,448380,585022,-1,704618,-1,666702,-1,875503,-1,711163,319453,-1,709867,-1,338700,764560,-1,495900,717259,-1,-1,-1,138002,-1,-1,795004,-1,-1,-1,284852,404510,436158,566178,496023,183833,-1,-1,-1,-1,-1,-1,-1,-1,365219,250549,-1,-1,608318,500823,70824,95559,-1,-1,-1,138943,747568,168951,-1,-1,687745,-1,597623,-1,561788,-1,956660,523045,573981,542064,353259,433956,-1,-1,454207,109806,826982,771472,746416,652388,-1,149579,469120,158975,-1,-1,-1,671014,-1,-1,942363,662166,451026,89722,-1,-1,-1,-1,-1,55855,-1,-1,-1,221310,-1,336684,455101,886275,-1,-1,-1,946009,648545,327724,-1,-1,913228,-1,-1,-1,431254,905221,-1,904861,961024,-1,-1,-1,253952,616160,-1,-1,655093,808620,899668,-1,-1,583197,417306,267108,466113,-1,-1,182450,435608,271101,862531,617411,-1,-1,-1,-1,-1,527514,-1,5146,-1,933079,431121,-1,96606,271523,539180,-1,-1,-1,683406,-1,-1,-1,-1,-1,461327,742957,-1,237605,-1,222016,894838,857688,-1,309194,732156,-1,895381,-1,-1,-1,-1,-1,-1,384817,85387,-1,197523,-1,-1,970570,-1,186283,-1,-1,497526,520037,949217,194067,798653,208901,145072,-1,271741,-1,-1,-1,-1,725001,719869,-1,-1,-1,1360,-1,-1,-1,-1,233652,-1,641683,-1,-1,926104,-1,65132,472111,834300,-1,888487,730120,712993,667063,450947,541633,-1,657349,-1,899134,505523,-1,341798,24830,-1,-1,-1,995027,-1,-1,576814,-1,649738,435174,944596,-1,-1,654198,-1,-1,231883,-1,4887,720618,-1,134909,906873,-1,28654,-1,-1,103593,-1,-1,621060,698332,-1,-1,-1,-1,666262,-1,761168,-1,-1,-1,382038,832114,-1,522620,-1,38370,614493,-1,-1,-1,-1,644589,-1,-1,214092,282039,201801,-1,903942,-1,212463,-1,-1,227857,733991,-1,554982,-1,-1,-1,60266,298952,-1,-1,-1,-1,988813,93566,730200,-1,-1,-1,729552,834908,-1,-1,501132,585974,79747,156183,-1,642548,-1,841148,261151,-1,-1,683628,-1,265951,-1,583638,-1,-1,-1,677686,-1,-1,-1,-1,-1,533935,670396,-1,637515,50953,-1,-1,824502,510244,523553,-1,160039,785443,-1,326546,788365,-1,687998,565072,859346,937511,-1,263186,730510,-1,312391,-1,836075,-1,-1,-1,-1,713275,-1,-1,845957,-1,405406,439350,-1,-1,-1,767618,-1,933128,-1,-1,-1,615814,948010,588473,-1,-1,878774,-1,-1,239325,-1,-1,-1,-1,-1,102657,637038,777695,-1,-1,-1,565453,-1,317944,531798,-1,263975,-1,-1,-1,252239,-1,370867,-1,126906,-1,-1,458434,539365,841225,670575,958850,932868,-1,-1,224606,-1,-1,-1,-1,-1,423277,-1,147968,-1,-1,677059,679061,-1,-1,-1,-1,90902,377793,-1,841455,520281,964883,-1,975800,-1,65579,431057,279476,-1,-1,-1,-1,6199,669498,182568,-1,-1,-1,298688,-1,-1,-1,-1,861499,-1,-1,534540,-1,855873,-1,-1,-1,-1,-1,557961,-1,375950,405685,478764,-1,-1,-1,678535,794484,-1,73434,-1,513884,772830,-1,276358,156767,360601,511496,170128,752972,151864,910855,26884,-1,-1,614858,460940,-1,-1,246839,-1,-1,-1,-1,908675,58922,-1,-1,556879,-1,433784,-1,-1,-1,106303,223270,486445,-1,786377,-1,283421,88681,-1,75964,-1,127274,-1,760825,-1,-1,-1,458205,960708,780198,-1,-1,49865,-1,-1,-1,-1,487512,-1,98980,-1,228002,768548,767110,-1,470762,647813,513100,-1,781656,-1,202422,715039,-1,180840,-1,568889,391628,111647,787910,-1,-1,889333,-1,-1,-1,220893,-1,186057,359865,-1,793681,-1,-1,436827,407496,-1,-1,-1,975242,-1,333079,-1,-1,-1,-1,-1,409112,935099,709495,-1,646329,836091,-1,6517,-1,789464,647008,-1,-1,-1,-1,243679,227726,-1,-1,-1,34521,311765,-1,316278,-1,-1,592434,726880,271814,691545,902498,736038,-1,742097,-1,-1,301000,522276,471568,-1,-1,-1,-1,956647,-1,-1,-1,63284,579922,-1,-1,-1,-1,-1,-1,669950,370961,-1,982816,155196,-1,493537,560044,-1,-1,884364,603731,654272,-1,-1,763104,-1,-1,-1,-1,-1,578512,425931,299564,666161,671491,486687,221954,569144,244213,4819,920687,643108,-1,-1,298722,113783,278795,-1,861869,-1,994326,796716,-1,-1,233098,-1,-1,-1,145701,499439,73682,96341,-1,808887,934220,447169,-1,804986,-1,137598,896685,514193,963779,186602,125511,-1,254141,-1,-1,-1,565562,-1,791786,443496,95391,375836,-1,114942,-1,131313,643796,-1,188067,803301,797336,418466,599732,-1,-1,-1,468249,973638,796927,564432,-1,131373,599643,966098,-1,-1,-1,331140,744711,857348,439405,609385,533967,577879,-1,190166,769850,333080,360118,-1,-1,411149,222065,299200,-1,894404,-1,-1,453613,83809,8806,320811,-1,-1,-1,157025,-1,735633,460113,-1,366328,487074,670598,622885,925759,-1,-1,-1,230894,94804,-1,-1,545766,804672,-1,723312,823623,-1,461960,-1,246757,669506,224238,-1,398127,-1,-1,-1,-1,705738,530789,-1,293341,-1,811672,774776,456282,664849,-1,841355,829073,-1,16251,121451,-1,598723,562524,951329,-1,945976,439742,-1,-1,-1,101019,-1,909517,-1,-1,74645,457480,774052,264742,-1,451321,-1,-1,203844,-1,-1,841834,-1,-1,185605,535698,-1,571950,-1,66053,-1,-1,-1,-1,-1,-1,-1,-1,679014,-1,-1,-1,-1,691543,928882,755525,-1,-1,-1,567530,114778,-1,565257,788264,961692,-1,940588,-1,-1,748935,-1,905484,-1,752481,-1,108463,576068,42919,-1,-1,-1,-1,-1,-1,-1,32790,198878,-1,185056,976503,-1,487070,-1,313848,-1,44250,460584,982023,-1,240982,-1,-1,-1,-1,923597,861155,-1,-1,-1,852803,-1,903698,568423,600158,777320,-1,-1,-1,-1,392087,48603,-1,-1,262507,-1,94736,423477,-1,-1,-1,-1,-1,234304,500645,-1,-1,158639,222300,-1,-1,499648,-1,829743,-1,68877,356870,-1,-1,378982,-1,647355,741943,350350,-1,280806,-1,403300,239613,566952,992287,-1,577663,667565,532830,-1,983164,-1,-1,-1,-1,204259,-1,199182,-1,691506,-1,392115,937701,-1,477741,-1,350261,201914,-1,378619,-1,-1,-1,917513,-1,519639,-1,-1,50279,-1,-1,6497,-1,909908,-1,-1,-1,-1,84423,13871,-1,-1,-1,710087,-1,983730,-1,-1,561119,-1,921154,428531,766249,-1,-1,417698,214047,561685,396268,-1,-1,454533,-1,-1,-1,-1,18091,-1,604126,-1,-1,780229,-1,318474,-1,303233,373548,-1,-1,326040,-1,800434,-1,-1,1993,675414,-1,-1,520375,394414,198047,13291,277815,-1,-1,123992,-1,782769,902018,-1,17670,589289,-1,283731,26933,771521,847961,571342,-1,253752,72267,-1,-1,-1,-1,213540,139443,-1,288910,-1,721451,346884,-1,805885,-1,170889,-1,403103,979828,-1,800834,-1,-1,797085,545495,-1,-1,-1,937451,989954,123203,168828,166061,130,311397,855224,267729,-1,-1,188120,667846,762878,603978,85911,703614,-1,878307,650620,-1,987645,-1,-1,-1,-1,-1,850857,-1,540020,392813,464754,462906,613901,-1,-1,-1,165851,146986,323331,-1,281047,-1,304451,-1,47680,-1,124628,804837,875528,-1,-1,-1,324205,-1,-1,-1,-1,-1,-1,25590,358000,-1,368839,-1,-1,-1,996427,756315,-1,504952,-1,81192,-1,843273,40877,-1,592740,-1,-1,853308,978159,1279,437260,991370,-1,114380,-1,-1,-1,676975,136956,-1,-1,-1,194419,-1,128182,-1,581076,-1,6894,797003,-1,584394,764764,641488,-1,252442,-1,80802,663120,-1,-1,-1,709983,863767,-1,-1,671245,-1,-1,-1,-1,-1,-1,659680,-1,-1,-1,338728,419047,161482,662892,-1,-1,-1,-1,986731,201659,7412,-1,844991,-1,134138,-1,-1,-1,-1,547342,-1,159189,-1,177730,-1,568937,507633,929167,649658,959783,906764,-1,-1,-1,795376,393552,-1,-1,651734,-1,-1,275180,-1,679676,184672,-1,162329,887816,493449,-1,574643,635077,994472,-1,-1,367432,966658,862462,233229,-1,-1,-1,452739,-1,14599,288568,-1,-1,272612,268043,416270,-1,797618,132321,154379,-1,72316,-1,811181,830877,-1,-1,761870,-1,395344,517582,-1,-1,-1,-1,103119,-1,-1,-1,141248,-1,-1,371222,880652,-1,-1,706098,-1,295002,-1,-1,160662,-1,-1,-1,-1,-1,-1,989944,-1,-1,603883,-1,475751,175378,-1,-1,344944,990464,222183,352165,209076,320819,677835,110429,2515,595000,-1,-1,836129,-1,-1,62085,773559,-1,-1,890018,-1,-1,226595,-1,-1,-1,-1,-1,-1,686425,-1,-1,582905,-1,-1,-1,534562,141316,-1,-1,253806,519956,542961,876254,-1,125369,74090,187278,505203,-1,-1,689644,339701,-1,508437,-1,-1,447853,-1,-1,396770,-1,507016,350028,-1,-1,247289,-1,980478,951880,724404,446156,234036,-1,-1,462185,77621,215009,-1,524412,-1,-1,69331,-1,18420,483497,-1,58396,-1,-1,-1,300000,-1,987156,230914,110237,596910,-1,90667,414119,779864,712582,-1,553372,-1,-1,16198,-1,493909,597778,477334,153529,-1,869800,744097,-1,-1,-1,-1,-1,698437,347116,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,178491,-1,-1,309992,203777,150914,240761,228325,894416,-1,-1,-1,55901,996134,-1,-1,16574,-1,-1,76005,268827,-1,462078,176295,268268,796355,331526,-1,-1,-1,372585,-1,710030,243792,-1,173242,738111,176727,-1,-1,-1,920081,-1,904670,-1,665061,-1,-1,-1,-1,-1,-1,-1,853391,-1,-1,-1,-1,626469,-1,-1,-1,-1,-1,-1,903757,-1,-1,-1,911670,-1,961513,-1,528047,892309,503563,742611,571080,270222,-1,723061,828006,33105,669501,-1,-1,368381,-1,-1,-1,-1,829921,523916,766506,-1,-1,146917,-1,-1,-1,-1,703541,-1,894161,-1,114854,-1,-1,-1,442825,-1,413942,-1,767374,-1,299135,499989,-1,-1,-1,-1,-1,494823,-1,-1,753108,722152,-1,-1,-1,952759,-1,-1,164290,-1,794795,184802,-1,998888,-1,-1,40158,214535,981057,-1,221943,977328,-1,905831,298046,-1,370332,-1,-1,-1,-1,-1,955282,-1,655993,-1,-1,431957,-1,-1,-1,-1,171298,976709,337124,-1,-1,-1,-1,-1,-1,527843,-1,-1,112950,-1,-1,203291,522632,-1,831260,-1,794305,240085,539312,-1,-1,464895,271950,240698,514752,-1,-1,-1,-1,47588,-1,-1,488190,-1,763178,90548,633027,-1,32,727863,-1,805138,-1,48195,389467,-1,746732,-1,440704,-1,-1,661336,678079,42766,858657,-1,422944,-1,-1,21222,502706,355307,292218,-1,636793,-1,511951,-1,453114,-1,673849,379132,205125,-1,618917,-1,846650,748604,942677,89194,-1,-1,407524,377296,584298,-1,-1,624570,-1,-1,-1,54722,867674,193408,840431,917346,-1,-1,-1,-1,588485,510644,954654,383824,904425,176356,433379,-1,-1,-1,112375,-1,-1,-1,395993,-1,-1,787515,-1,-1,-1,-1,-1,963274,85381,-1,-1,-1,41302,-1,-1,-1,632169,-1,-1,-1,367110,-1,-1,159767,803957,896321,-1,940174,-1,756926,347301,-1,-1,269696,-1,-1,-1,-1,715711,874738,538541,-1,669954,192285,519676,-1,-1,721364,-1,-1,87565,563540,789741,118673,883054,-1,-1,-1,-1,928663,-1,-1,49814,-1,-1,4363,-1,385656,-1,-1,-1,629915,-1,138845,676819,-1,-1,-1,943365,338679,956938,81485,-1,-1,-1,709633,-1,859059,589474,63108,-1,-1,-1,-1,450225,-1,-1,135279,-1,94766,-1,-1,123003,-1,176628,368130,-1,-1,802124,-1,628002,-1,458909,-1,-1,-1,-1,-1,173423,-1,-1,578408,-1,-1,493680,707696,503615,-1,331692,641978,-1,-1,118425,908884,817959,234683,205355,330018,696003,734515,-1,645308,-1,832639,-1,967561,108786,-1,-1,-1,-1,-1,-1,-1,-1,431511,-1,374765,754939,336439,776219,-1,-1,-1,-1,375547,-1,647533,457676,-1,177620,-1,-1,295214,940844,588242,312385,275732,-1,-1,658754,-1,-1,-1,-1,712912,966382,-1,-1,-1,-1,762816,625690,586778,-1,-1,964345,-1,-1,878620,326777,989840,-1,-1,444496,612491,807341,690056,-1,457150,-1,-1,-1,-1,646777,476265,-1,36360,215074,595804,569831,955394,239703,-1,-1,93553,-1,262806,503258,859054,134251,-1,22560,-1,765253,-1,120275,-1,-1,958380,571973,43952,23529,787615,-1,-1,-1,375025,-1,-1,673159,299046,-1,351296,-1,515581,-1,24666,819914,285163,-1,-1,-1,-1,-1,-1,-1,-1,275206,-1,-1,-1,561095,-1,-1,-1,-1,-1,-1,761514,-1,-1,643844,-1,-1,-1,521027,917738,-1,-1,524704,-1,-1,-1,-1,-1,509300,585289,-1,644579,835395,-1,-1,-1,-1,-1,-1,-1,323544,-1,-1,-1,-1,-1,529484,-1,-1,-1,542568,775080,-1,-1,-1,617565,14566,-1,349849,-1,410745,-1,668486,970629,291764,-1,351413,229967,-1,-1,820102,124985,652982,149953,-1,-1,-1,108727,486997,-1,-1,-1,252981,63717,257228,650647,-1,412772,-1,-1,-1,-1,723467,-1,132560,754060,322392,-1,-1,-1,-1,3283,-1,-1,-1,-1,-1,347317,3067,5557,694463,482874,741756,-1,348726,-1,294047,-1,-1,-1,857964,119395,-1,-1,-1,-1,785960,873934,496613,885355,-1,-1,-1,448263,-1,425223,-1,614255,264065,-1,-1,573501,-1,355180,937703,796487,-1,829885,-1,-1,-1,794231,-1,-1,954847,226439,-1,638737,626778,-1,-1,-1,654515,-1,771125,-1,767608,607071,-1,585187,849919,209928,-1,726332,897985,-1,-1,-1,-1,444484,-1,-1,582988,-1,-1,931520,-1,-1,433133,-1,-1,523514,-1,818486,274405,-1,74723,345845,-1,-1,-1,-1,777445,-1,392849,982291,-1,358764,208270,599202,23793,-1,593507,888669,649,-1,17743,633984,725142,-1,-1,954803,891791,-1,238769,-1,-1,-1,-1,269396,696454,-1,-1,268790,-1,-1,-1,221825,541329,-1,917026,636779,-1,149244,-1,-1,-1,6449,-1,-1,-1,-1,-1,163967,649347,128323,-1,-1,-1,-1,-1,-1,351193,590399,541378,121659,-1,-1,-1,-1,646444,-1,-1,323385,-1,-1,550347,-1,980037,304862,187552,902090,-1,-1,-1,-1,642321,-1,-1,-1,539967,98491,-1,-1,-1,-1,-1,-1,-1,-1,436038,-1,36847,-1,893494,-1,447296,921875,-1,-1,-1,-1,628472,-1,172612,471174,75599,-1,-1,930038,-1,-1,229865,-1,-1,438171,556672,844650,552888,-1,148933,-1,680598,-1,-1,55112,-1,-1,409294,942887,239250,340837,888990,-1,-1,484483,168830,-1,-1,-1,-1,485471,-1,-1,411354,-1,174689,332427,-1,129979,214188,119766,867280,-1,968082,-1,-1,94179,261381,94659,-1,723038,322706,969043,-1,-1,837263,-1,175851,-1,-1,125562,576735,-1,-1,196216,429880,121255,-1,52258,-1,70708,698858,-1,928996,391243,734073,-1,166542,36585,-1,-1,-1,-1,-1,-1,-1,-1,-1,500999,-1,-1,-1,-1,354739,-1,-1,347475,87209,-1,172613,-1,969902,90005,-1,415590,-1,-1,-1,915237,-1,-1,-1,-1,190017,667812,-1,-1,160759,407603,459870,907621,-1,-1,79558,-1,753641,-1,-1,-1,271000,876712,-1,114481,756602,-1,-1,283084,-1,599034,275222,-1,-1,191412,913203,216295,-1,-1,-1,544854,-1,678934,-1,636700,-1,682409,-1,-1,-1,972633,-1,590803,32983,591895,851488,29213,519857,869124,-1,645853,954314,351866,-1,-1,639969,97944,-1,-1,664103,-1,335531,-1,529275,203876,322228,72,952660,876732,-1,-1,-1,-1,-1,-1,972899,-1,-1,720518,-1,23127,-1,-1,523626,-1,693401,670865,493571,711112,-1,-1,728908,-1,951447,288158,480722,-1,-1,799516,127826,375720,586945,-1,182165,-1,-1,-1,658076,618945,162437,-1,453973,412217,989986,-1,71806,604641,-1,591877,179710,-1,55795,-1,-1,880680,-1,794342,-1,-1,-1,42599,-1,936211,282737,-1,-1,811732,-1,-1,462778,804604,370830,964871,490590,-1,32632,-1,949343,-1,-1,-1,-1,-1,-1,341188,-1,-1,-1,757501,829284,-1,338047,255607,-1,-1,471474,810785,729806,-1,-1,-1,-1,-1,204043,-1,338323,153385,708947,178525,162775,-1,396577,29252,662767,-1,992851,709302,313136,-1,-1,-1,351592,-1,-1,-1,916619,161657,835824,352324,730615,-1,-1,-1,671788,-1,-1,-1,266943,491267,145088,-1,138642,316804,-1,-1,257983,515972,18876,404169,396461,-1,-1,916709,-1,944862,642019,365666,-1,-1,328590,-1,-1,703404,131524,126068,-1,-1,-1,-1,-1,-1,-1,937905,376119,108111,-1,297168,897897,522322,-1,837933,193299,-1,406971,22536,109285,403357,979058,-1,120448,-1,-1,-1,-1,697244,-1,-1,777124,927715,-1,207154,778598,639554,-1,656732,243759,-1,837001,-1,-1,129166,-1,180152,381840,-1,788141,890697,-1,787447,497204,709906,700614,764050,332999,-1,-1,-1,-1,-1,-1,677791,525570,-1,-1,782509,-1,-1,-1,-1,628189,-1,607452,746701,-1,-1,323824,902410,908068,-1,458644,-1,420691,11805,687338,599394,-1,-1,-1,589063,922361,-1,315060,-1,-1,-1,-1,-1,-1,706822,-1,528944,86603,-1,-1,-1,-1,-1,-1,-1,467475,553716,-1,-1,501768,-1,753150,214028,123663,378964,359957,180119,-1,283616,-1,111467,73796,875732,-1,951724,971909,289237,-1,-1,765670,557906,-1,516648,-1,28524,154689,-1,916227,-1,177939,-1,98765,532485,-1,-1,970626,271349,-1,-1,49414,832753,-1,25591,-1,595272,-1,-1,951900,-1,238378,-1,-1,369669,834966,-1,140165,25910,-1,-1,25668,652269,-1,707333,-1,-1,-1,357309,368164,-1,835348,749528,-1,286097,-1,-1,-1,948253,-1,-1,785968,-1,602947,-1,13464,982627,-1,-1,130924,852109,-1,-1,-1,9065,-1,-1,246414,-1,268065,-1,-1,-1,508884,-1,-1,-1,-1,238028,-1,14002,27326,874616,-1,281198,-1,724466,-1,-1,6946,-1,-1,-1,387369,957765,491170,602700,-1,752410,-1,-1,-1,101052,-1,-1,425481,-1,30520,780090,718124,987302,-1,-1,944435,-1,-1,821778,-1,734259,-1,501576,-1,-1,-1,-1,-1,-1,-1,-1,37380,86638,-1,166224,674260,696603,-1,260962,691072,563224,339687,-1,212779,144413,998232,-1,-1,624671,903094,388788,-1,-1,630006,299161,-1,-1,202342,-1,-1,-1,-1,281561,563903,651021,358676,-1,157394,-1,-1,-1,835224,562166,963380,-1,815014,-1,948066,-1,312403,-1,-1,305913,-1,474914,-1,-1,-1,458531,585475,-1,804823,854261,-1,886375,467624,61813,87785,-1,585991,137701,698043,-1,532453,435796,-1,-1,-1,592602,-1,584382,112054,-1,-1,198112,631151,591359,-1,822817,-1,548640,-1,-1,184880,-1,-1,-1,833932,949632,331978,-1,640826,-1,-1,-1,854337,950510,165806,792317,-1,814767,-1,-1,-1,-1,-1,-1,634397,13986,-1,-1,339445,-1,-1,-1,169747,130424,942481,-1,56924,267573,-1,408976,-1,-1,655166,-1,436756,16686,-1,-1,-1,955856,547126,399877,-1,56795,-1,115387,323766,56067,142688,254372,403210,806569,-1,-1,-1,-1,477889,896566,424358,293710,-1,882082,13627,664964,-1,75215,315681,-1,469922,273718,-1,-1,156886,-1,-1,-1,-1,-1,-1,-1,-1,-1,611672,-1,831267,716911,758797,583113,731848,-1,-1,840643,244661,-1,687348,920263,-1,24152,-1,-1,491561,-1,927399,459418,-1,486349,-1,627797,-1,-1,221432,484406,901791,-1,692129,319731,238587,-1,-1,-1,-1,-1,-1,-1,895703,-1,612058,935072,621208,-1,287877,774324,723275,-1,-1,-1,-1,422943,238337,961184,-1,853971,-1,-1,682508,130119,667189,-1,-1,125004,-1,643726,-1,-1,527612,-1,467211,109076,-1,967743,-1,-1,216793,23960,712371,761697,134795,-1,-1,409425,-1,-1,-1,42199,637945,223871,101695,-1,-1,-1,606844,-1,584674,-1,-1,-1,-1,813665,-1,-1,76315,529940,-1,-1,431212,838967,-1,235243,-1,860560,-1,927156,-1,-1,155024,421648,246356,288063,617191,-1,-1,856327,884955,-1,924553,106599,953881,-1,-1,-1,-1,-1,-1,-1,-1,256978,-1,519279,-1,-1,125716,-1,884838,-1,621664,-1,221438,733214,-1,93920,-1,-1,-1,854445,781793,-1,-1,157385,-1,143148,-1,76064,-1,34097,35338,562549,-1,-1,293858,-1,-1,-1,-1,184581,907273,524662,362529,655774,813148,-1,-1,-1,907529,-1,494995,-1,-1,-1,332948,965147,-1,-1,601853,-1,182001,-1,373228,-1,722171,847828,312556,-1,-1,815757,-1,408541,-1,-1,304558,511626,-1,-1,714785,601072,216711,629176,-1,-1,83379,-1,809823,-1,795671,709181,76394,656776,337210,-1,805831,-1,-1,-1,187196,-1,-1,-1,-1,-1,46112,-1,448470,-1,-1,-1,-1,313235,414254,354966,138772,70781,-1,950488,176885,-1,154326,510241,594664,18740,393074,-1,-1,701262,-1,15369,-1,944207,-1,-1,-1,497786,401628,-1,-1,-1,-1,543594,164800,567967,251804,-1,57300,-1,-1,-1,173883,-1,879253,-1,-1,-1,465693,784891,-1,-1,345835,879413,-1,193368,-1,612406,-1,-1,720499,716357,-1,876101,163237,-1,325668,-1,853188,-1,-1,-1,-1,719199,-1,755537,874989,69354,-1,759488,-1,-1,-1,562151,995904,-1,872903,-1,-1,-1,-1,-1,686584,-1,881670,-1,-1,-1,108184,-1,295823,381023,171661,-1,-1,448282,-1,378553,-1,-1,662157,353614,377410,720121,637228,762760,-1,181167,-1,704327,-1,88863,-1,428387,-1,-1,-1,840596,-1,-1,-1,422051,-1,-1,-1,717347,-1,426594,630343,506174,-1,-1,460332,-1,-1,228025,-1,-1,302941,31867,-1,-1,-1,447364,-1,-1,-1,-1,123912,134782,258636,-1,-1,687032,932504,-1,-1,167313,364819,-1,-1,941553,-1,777637,401725,-1,930913,-1,-1,-1,-1,-1,-1,-1,872990,-1,711774,770027,-1,817917,-1,-1,-1,112904,181553,-1,402001,-1,-1,301733,776504,778150,-1,598120,-1,-1,289760,-1,-1,-1,-1,733029,770266,555447,993389,-1,788641,-1,756683,84168,-1,-1,-1,584692,672527,147629,-1,353327,601616,381797,511423,203329,-1,154901,-1,853969,509411,-1,17172,-1,414355,-1,406007,441133,-1,-1,933896,674301,-1,746755,44243,-1,-1,-1,93013,51675,-1,-1,528018,-1,-1,429683,734940,192246,-1,-1,-1,353485,285549,-1,-1,-1,314077,-1,-1,-1,-1,-1,443708,18665,744798,-1,-1,-1,44683,-1,362502,485612,907831,794680,926449,227936,457738,576549,-1,-1,-1,-1,-1,439982,-1,89843,731781,641203,750497,-1,-1,534054,299764,837095,502682,-1,770654,630005,534419,-1,-1,433104,662378,-1,-1,349555,622940,-1,113616,-1,-1,-1,-1,-1,-1,755958,-1,21081,-1,-1,946405,-1,-1,338568,837870,62445,847014,957161,-1,569055,264437,-1,467412,-1,659274,-1,174255,705780,696557,247448,78679,549773,-1,-1,181786,775738,580443,468978,-1,-1,172949,-1,558043,648395,-1,425471,-1,-1,-1,-1,672518,-1,616481,710552,-1,852388,499378,612352,33768,-1,47016,270190,-1,551011,260666,-1,-1,928722,-1,-1,-1,693485,-1,556202,-1,547508,436439,-1,914721,62919,980229,-1,-1,-1,510321,645166,565364,816768,787732,-1,24347,-1,-1,-1,-1,675727,286979,-1,749446,-1,-1,588733,135357,473823,-1,209219,876888,441221,746997,-1,-1,55776,-1,-1,-1,-1,-1,966137,-1,666512,-1,704125,-1,957185,-1,-1,14299,681115,-1,787032,313362,-1,-1,-1,-1,-1,-1,-1,432283,461455,-1,-1,855393,-1,581833,712511,979034,8932,33159,-1,894698,-1,-1,132382,391077,649965,-1,-1,-1,549946,212578,-1,509705,-1,-1,876204,546321,-1,-1,-1,-1,-1,-1,338285,818109,-1,215026,-1,457967,257547,692796,-1,395486,-1,-1,515984,-1,-1,-1,789651,-1,-1,-1,-1,-1,-1,430374,101831,-1,851457,977893,342912,284655,-1,-1,313390,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,708880,779025,237622,-1,-1,37029,691155,552904,-1,169590,-1,-1,40851,-1,-1,865645,466540,-1,311775,-1,-1,-1,52189,126478,-1,597709,79714,-1,-1,-1,-1,924500,-1,496296,-1,464044,-1,-1,775210,226416,-1,-1,950832,-1,420249,710461,466923,-1,-1,629247,-1,348151,-1,222122,945073,-1,-1,402465,-1,-1,399039,939051,-1,616559,-1,-1,276840,-1,661944,-1,270444,-1,27438,676382,59118,-1,318041,-1,-1,901158,-1,764348,665550,239146,537571,506502,-1,597447,304240,557080,573647,-1,-1,40076,111829,-1,183408,166320,-1,808687,501237,-1,-1,-1,-1,-1,181282,-1,-1,869212,-1,1058,346824,20983,-1,-1,-1,-1,926524,-1,710684,994998,32942,-1,-1,149764,231745,-1,488242,688675,448178,285310,62797,-1,-1,-1,614464,-1,-1,-1,-1,-1,-1,-1,844548,-1,683661,751543,-1,-1,293947,709916,-1,875022,-1,239243,359063,-1,672389,696793,354749,475448,362737,-1,637345,-1,788549,-1,-1,154250,652655,-1,-1,133979,189712,-1,78712,-1,-1,181142,808886,-1,867954,912141,-1,410079,661126,-1,-1,-1,507977,612989,490238,235742,280327,-1,164471,697450,-1,-1,286216,-1,-1,-1,-1,784923,678193,25221,-1,-1,449002,603078,-1,-1,519707,293777,-1,-1,-1,-1,828922,-1,-1,613071,292080,487562,-1,-1,687884,-1,416729,-1,898875,287328,-1,360649,992782,570001,-1,415035,681402,-1,388327,676758,839813,-1,-1,-1,360605,-1,494124,87413,2712,196399,693991,-1,342771,-1,-1,-1,467692,115685,312303,-1,506505,-1,164988,784686,-1,-1,-1,183973,693722,-1,-1,-1,329809,-1,217999,450145,-1,108141,825029,581451,-1,-1,-1,-1,-1,378492,-1,744237,3517,953895,888910,394341,-1,-1,308205,212094,-1,-1,-1,-1,654194,-1,-1,215920,-1,-1,-1,-1,-1,661136,118804,-1,-1,-1,-1,668953,498805,-1,463696,-1,-1,105399,-1,-1,-1,597438,635837,79674,-1,12497,-1,677889,-1,-1,582909,95491,921813,266576,569189,-1,-1,-1,-1,-1,462813,385299,-1,99131,221504,597456,265460,-1,-1,528783,931770,919325,-1,-1,642027,-1,-1,586342,-1,196440,779107,-1,597040,-1,-1,221038,816275,-1,-1,-1,810937,-1,-1,-1,-1,-1,-1,558321,-1,-1,-1,879060,952773,-1,800589,-1,504940,-1,-1,197060,131101,201386,435336,-1,-1,-1,-1,-1,388018,624892,865598,123119,512722,-1,-1,-1,575595,833249,6788,679519,563962,556540,-1,828036,819479,352672,518117,450791,-1,682628,364648,-1,-1,-1,-1,-1,407197,-1,-1,920447,-1,155237,943461,757215,-1,967494,80367,-1,-1,-1,-1,-1,-1,659712,208506,-1,979518,660527,834710,-1,793712,-1,-1,853562,900670,-1,-1,-1,555827,265524,917824,-1,508848,600761,540894,-1,381093,-1,143323,230205,-1,536433,657878,-1,178133,-1,-1,531444,-1,649848,682294,434039,-1,-1,660859,506410,-1,-1,816430,546751,700824,-1,-1,730854,199774,-1,548675,186257,-1,238946,-1,-1,442739,-1,525952,174361,613126,-1,215741,-1,-1,530411,-1,695691,-1,910623,136103,234931,-1,926528,599083,974182,462933,-1,51321,-1,856402,800451,120779,78294,-1,408865,-1,-1,-1,916099,935675,-1,649297,642135,-1,-1,365937,588019,936734,-1,566423,-1,-1,105341,872729,-1,331450,648551,-1,210085,920766,-1,31797,-1,928315,-1,-1,146319,-1,325176,-1,11913,505034,-1,171000,-1,374281,-1,613881,971625,-1,651022,-1,601972,496451,-1,347740,-1,688803,724898,554495,213351,-1,-1,355437,-1,-1,-1,751647,875702,130764,242134,801394,693422,-1,235410,964266,230598,57560,782939,672039,-1,-1,431444,668469,-1,278392,898424,38297,-1,-1,974198,327159,-1,-1,846605,668814,145606,-1,-1,995927,-1,956125,-1,340366,-1,-1,502522,276695,193321,-1,480192,-1,-1,21421,-1,901920,419209,883563,682837,713487,-1,390893,-1,296042,-1,481511,-1,788659,668736,305805,53555,250820,-1,-1,192676,932903,326499,-1,789501,178875,110632,198356,798840,-1,-1,509016,950872,-1,957102,-1,64140,827391,-1,-1,-1,-1,404417,165972,-1,-1,-1,-1,-1,-1,-1,-1,540162,-1,426972,159133,-1,77903,-1,827491,-1,474705,443536,-1,282801,-1,959563,820711,198697,-1,51191,-1,-1,267480,-1,-1,524322,103234,-1,798164,-1,538756,-1,-1,-1,-1,-1,-1,200518,-1,309586,-1,800329,598001,890657,-1,-1,430232,364015,-1,697895,-1,-1,-1,732250,635311,758581,-1,-1,787345,680160,734797,-1,209854,481957,-1,-1,268638,-1,293529,-1,-1,-1,623446,79806,924136,-1,-1,-1,659023,-1,-1,370137,-1,-1,-1,526482,-1,-1,-1,-1,495172,916356,727004,822540,13752,297895,-1,-1,-1,-1,428486,-1,85708,-1,480636,-1,-1,-1,962440,128888,-1,521580,-1,246146,-1,-1,-1,-1,-1,8603,-1,-1,867114,812067,598895,369558,696644,733478,-1,-1,-1,-1,-1,635,271796,909785,292401,-1,757393,-1,-1,-1,-1,-1,252331,-1,374969,-1,886145,209861,-1,472879,-1,604477,-1,897795,-1,-1,6835,-1,-1,-1,873673,-1,854509,-1,924113,993675,-1,909255,848550,420250,542671,867801,-1,-1,400798,-1,433346,-1,796998,184524,-1,-1,-1,-1,-1,885479,407633,314735,-1,-1,560210,46395,969579,-1,-1,858754,-1,848151,-1,567189,-1,-1,535503,-1,427968,-1,-1,-1,-1,-1,566849,819040,-1,-1,361248,198041,979040,344377,138013,-1,-1,834641,979551,-1,744624,-1,-1,938798,-1,702513,-1,-1,10011,-1,516288,40610,-1,699409,794150,978832,679314,-1,-1,896995,641920,-1,412534,499346,-1,-1,31654,-1,-1,64678,-1,692762,-1,551315,997553,22386,672537,-1,547654,40549,231791,438896,81771,-1,803778,14761,665174,966810,-1,881856,908758,535960,678659,-1,634411,-1,526940,900039,-1,-1,993383,682997,471753,907926,-1,-1,852785,601992,468208,26551,133299,-1,-1,718603,-1,393947,-1,-1,156550,-1,290093,-1,-1,-1,111227,-1,879080,846944,-1,936736,-1,365439,-1,-1,-1,379485,-1,-1,-1,625908,-1,-1,-1,969743,-1,-1,-1,545129,-1,-1,550723,-1,4146,-1,-1,-1,650339,-1,-1,-1,-1,-1,-1,-1,535115,857258,-1,704389,-1,106496,193801,183611,8264,72960,-1,423683,-1,5510,-1,-1,-1,-1,968873,-1,-1,-1,-1,-1,494670,187005,-1,874984,-1,-1,-1,459988,-1,-1,-1,786320,173971,-1,94310,986282,124595,-1,941808,146020,867803,672907,-1,-1,774803,516274,79278,-1,-1,827736,-1,-1,-1,599290,-1,983753,16295,-1,-1,-1,-1,-1,-1,30438,-1,629361,93984,-1,-1,-1,-1,-1,-1,513930,-1,-1,714316,-1,551761,860624,94431,-1,230489,438070,-1,-1,732450,-1,-1,890282,-1,485309,874532,-1,63382,-1,8875,159594,374966,240902,80834,478456,-1,-1,-1,-1,-1,-1,169245,51504,-1,716846,293312,560152,-1,-1,106427,122507,903952,-1,-1,877645,622263,178801,400679,-1,923187,-1,-1,-1,-1,-1,544996,-1,-1,-1,614998,-1,-1,194893,-1,-1,-1,-1,-1,237334,-1,953802,801692,307232,-1,372144,766440,874128,-1,653074,699253,263497,424274,320337,-1,981600,-1,-1,-1,-1,823666,370627,-1,887541,527318,321697,-1,386408,-1,27335,-1,573646,166692,-1,405125,-1,166230,-1,964121,163129,986612,-1,-1,138942,312024,-1,751049,-1,268884,-1,-1,-1,472265,-1,-1,-1,-1,138896,-1,452075,934685,322178,243292,-1,-1,578640,-1,-1,604821,830433,852004,-1,365686,43015,-1,-1,474371,879967,-1,-1,-1,-1,174894,-1,-1,-1,-1,-1,-1,694121,87358,-1,889337,837206,-1,-1,-1,28841,384847,-1,-1,326772,-1,-1,679842,521539,353110,877315,524717,768471,-1,951870,687205,-1,773285,-1,754429,581520,-1,-1,430073,-1,-1,-1,-1,-1,-1,126173,501600,-1,-1,419541,368573,594512,-1,707536,707843,572216,-1,107691,167279,757659,-1,756485,-1,-1,358585,623645,-1,-1,-1,105558,-1,-1,-1,684866,136758,-1,-1,-1,-1,-1,-1,412749,-1,-1,870063,729011,761352,-1,622245,-1,-1,322330,-1,613283,-1,-1,477834,777811,798797,-1,318374,611469,-1,305023,-1,-1,805199,-1,320762,-1,-1,-1,-1,-1,151834,298820,-1,-1,795793,273874,-1,91796,-1,-1,-1,-1,572174,-1,-1,296171,50420,227961,-1,-1,-1,510234,-1,771565,-1,-1,183898,130315,137368,710818,-1,-1,-1,744418,285475,518800,194153,664180,-1,809540,-1,902964,617648,-1,841700,886041,219787,-1,-1,-1,-1,75157,-1,-1,-1,741190,509900,-1,167789,314497,-1,-1,-1,-1,194587,407520,-1,531081,723287,-1,-1,-1,27324,41180,993261,196360,799721,-1,384461,712558,-1,451245,-1,-1,938170,-1,-1,-1,-1,357760,-1,-1,-1,-1,-1,652139,-1,804620,324583,-1,-1,613569,-1,834825,-1,-1,-1,40651,890604,65882,91397,-1,-1,-1,-1,175310,-1,761148,55473,717536,-1,-1,155736,-1,-1,654789,230992,168655,720454,-1,-1,-1,-1,-1,-1,621266,-1,-1,207052,124274,899329,-1,-1,-1,437452,736512,796292,-1,420913,-1,-1,-1,335530,-1,833759,-1,-1,-1,440519,578632,569676,-1,479534,984001,-1,380467,474329,75259,-1,469667,596263,-1,-1,-1,-1,-1,763932,-1,-1,-1,-1,603746,-1,860367,-1,-1,-1,623527,-1,167484,195801,370032,-1,-1,-1,848725,399023,558193,212509,-1,-1,-1,56400,-1,272696,874208,-1,574657,268524,-1,-1,814307,816961,386730,692984,-1,639952,-1,777231,-1,837962,984845,678715,123896,-1,-1,732390,910241,395027,-1,-1,793356,-1,247784,76782,-1,595094,563904,-1,749820,339948,-1,-1,382346,218034,-1,-1,-1,-1,3809,62420,177310,146287,-1,-1,-1,-1,890990,-1,941647,178075,-1,84576,583589,975129,-1,225775,-1,81322,-1,658708,-1,52611,205217,-1,-1,905669,153702,-1,53051,305014,-1,872199,-1,455079,-1,736229,329349,-1,146677,848586,-1,-1,196555,-1,-1,179239,-1,-1,416217,309275,195698,-1,753514,-1,-1,576824,-1,56397,-1,826292,713330,351109,916367,-1,-1,-1,-1,-1,88650,895303,-1,994428,-1,-1,862524,-1,-1,-1,581051,-1,-1,408316,-1,612790,232125,306898,918739,-1,-1,258320,207061,740022,-1,-1,183654,-1,825731,262690,-1,-1,-1,818176,974693,17489,988023,-1,366843,-1,-1,316937,-1,-1,-1,-1,202068,764499,27648,161721,389455,825939,796883,892881,-1,911383,668460,353595,-1,769051,378008,-1,-1,-1,-1,155520,-1,16502,993244,-1,228913,88568,-1,306132,256760,-1,863353,553710,924927,-1,237193,350787,-1,-1,845065,-1,-1,458795,225913,-1,-1,949714,-1,312484,-1,498457,353203,554786,-1,58833,-1,360134,-1,811934,158646,-1,914698,610795,-1,929460,386929,-1,-1,259367,8588,-1,-1,-1,-1,-1,-1,982149,744839,-1,-1,599169,667774,-1,872494,713853,-1,-1,620564,-1,-1,-1,998603,-1,139991,-1,-1,288818,590187,-1,-1,60114,-1,-1,-1,-1,-1,444831,901199,-1,-1,-1,-1,111338,673222,-1,508495,-1,460396,80322,108210,-1,-1,-1,65902,-1,-1,-1,876567,556421,-1,491996,-1,57918,246562,288977,-1,-1,46362,937061,-1,161215,-1,-1,33091,743218,398763,-1,-1,-1,425138,920764,768972,188906,12697,903168,-1,-1,736233,-1,-1,124948,811614,317064,958285,331502,281161,948556,-1,285218,699722,788244,-1,-1,-1,-1,-1,788631,919874,-1,-1,822142,-1,-1,513547,-1,-1,-1,-1,922436,-1,-1,-1,812063,956945,250848,800240,-1,935526,876602,-1,742272,-1,-1,-1,-1,-1,-1,-1,25104,664350,-1,-1,781714,254525,498523,84897,452612,452448,-1,-1,-1,564219,-1,337010,-1,-1,-1,749238,-1,997823,512490,-1,810223,-1,680824,705976,-1,67237,-1,647060,231147,752287,-1,112906,-1,531520,-1,70845,830062,-1,-1,-1,-1,976416,-1,-1,-1,337235,-1,932861,775522,939268,993632,966806,-1,-1,953610,284226,-1,428157,795063,594923,-1,-1,-1,784031,261927,-1,-1,-1,-1,-1,136050,235577,375161,-1,-1,764511,-1,469259,485683,-1,617415,-1,-1,781345,-1,-1,930266,-1,955851,485559,-1,-1,475014,-1,664681,-1,-1,631802,-1,374098,807307,559001,604432,419066,-1,-1,67211,-1,417811,302078,-1,792891,18092,625262,142586,858326,902157,927424,369243,-1,-1,31333,-1,-1,-1,-1,586001,-1,-1,-1,-1,706055,-1,-1,-1,92583,-1,933527,-1,855991,804400,-1,-1,223865,-1,-1,306814,-1,956241,728465,-1,480191,-1,-1,482287,-1,-1,-1,159072,-1,399200,-1,781979,-1,-1,166436,-1,638639,571304,664829,578387,637653,162521,820070,-1,-1,204736,882229,707075,607259,494661,928022,-1,-1,-1,-1,851242,-1,661245,660738,378547,383349,-1,-1,538721,-1,-1,506703,-1,-1,561548,323597,-1,250930,665631,-1,-1,756338,541750,462164,224040,79281,-1,-1,388166,201039,-1,-1,459177,963856,506295,-1,-1,-1,-1,-1,-1,965407,-1,-1,162076,-1,-1,132625,-1,704151,-1,-1,862233,455435,661209,715331,83776,507600,538087,266449,146377,-1,-1,-1,-1,620797,-1,153731,-1,-1,-1,741722,363051,-1,829650,-1,627369,-1,-1,-1,542658,344727,586301,375497,78678,92032,64923,819576,977078,-1,618805,-1,-1,376820,-1,-1,309366,-1,-1,-1,-1,897801,484402,353659,-1,-1,-1,479114,405648,215261,74401,119718,-1,-1,737221,-1,-1,163839,775604,-1,-1,-1,-1,824008,-1,152871,638751,-1,-1,-1,-1,277027,876996,-1,579405,75439,-1,-1,-1,514626,-1,638177,-1,203323,-1,-1,-1,595135,13162,-1,325192,859075,139280,-1,-1,665991,-1,-1,-1,417566,-1,-1,-1,153333,659140,-1,331649,-1,415755,478660,-1,289606,-1,724940,751777,-1,-1,-1,337248,-1,230059,915404,-1,967515,-1,-1,-1,-1,679068,-1,-1,820950,-1,-1,495262,491856,643198,264442,504292,-1,-1,441266,-1,-1,-1,586002,31926,332607,314989,437300,619829,958579,-1,-1,-1,-1,-1,-1,-1,942145,-1,-1,472865,-1,-1,-1,-1,-1,-1,727735,-1,88052,700334,-1,101575,232680,480592,742344,222361,209409,691130,283865,722147,291388,195157,-1,-1,758177,-1,-1,57607,-1,114249,585007,-1,868072,849383,-1,-1,284530,518842,21713,277670,-1,515378,-1,-1,-1,-1,-1,15439,-1,-1,-1,-1,250189,-1,-1,186500,600650,-1,461842,734441,-1,-1,705030,702079,-1,793140,-1,206683,830732,121619,-1,-1,665924,-1,-1,-1,-1,142833,42407,182650,948374,717238,570515,-1,807778,-1,276932,-1,152721,-1,75942,315272,-1,-1,665864,-1,998275,-1,801708,808669,-1,660704,793812,602758,703425,889052,-1,-1,637500,622928,-1,398616,957954,-1,259889,245949,890798,-1,252652,-1,629890,428028,-1,808664,-1,-1,-1,-1,387500,598008,-1,530721,-1,431598,775545,-1,-1,619440,-1,-1,-1,-1,620084,-1,-1,891808,22498,-1,560496,702708,-1,-1,870629,464042,928178,575258,-1,-1,88119,479157,-1,668030,-1,-1,-1,-1,202165,181023,889451,301336,-1,-1,171979,-1,780293,-1,754959,331101,-1,268097,-1,-1,-1,61894,-1,22496,91873,712586,-1,892130,-1,-1,-1,485417,-1,-1,652212,796953,928805,-1,-1,-1,-1,-1,346173,-1,691280,-1,163224,51542,-1,-1,-1,680651,-1,937225,561249,628024,977371,-1,-1,-1,357288,-1,699292,-1,306142,201968,-1,-1,-1,590908,105039,495842,576908,816152,-1,833280,244999,-1,-1,619905,-1,490081,199643,-1,-1,-1,-1,-1,-1,-1,-1,920472,-1,361906,-1,198524,-1,343548,584014,-1,997960,-1,-1,-1,-1,-1,-1,951300,208954,-1,-1,-1,347524,740411,-1,-1,-1,-1,-1,214857,692376,-1,-1,-1,-1,393489,624858,636350,-1,-1,-1,-1,-1,-1,433172,108038,-1,777112,-1,602616,-1,904058,367903,-1,339771,923266,804447,429826,133413,-1,-1,-1,716857,262822,755832,-1,-1,-1,379017,-1,265760,-1,-1,-1,774820,421980,-1,-1,-1,206293,174662,-1,-1,885749,-1,936890,748450,-1,484255,-1,-1,-1,-1,-1,217263,-1,-1,-1,277957,484742,-1,951265,635420,-1,234712,-1,626033,809779,104582,-1,935649,317828,909396,755768,30028,-1,935109,756544,-1,776145,-1,-1,502061,-1,-1,296067,-1,535688,-1,-1,-1,-1,-1,365796,399326,-1,404564,-1,-1,669048,-1,142189,381975,339246,633869,-1,-1,-1,892937,-1,-1,66146,741696,-1,122283,525790,489448,-1,352047,776598,-1,782201,-1,8573,-1,263039,-1,-1,-1,917801,502170,-1,-1,-1,12167,990641,-1,-1,401254,627337,-1,357160,467446,-1,-1,-1,-1,-1,-1,-1,-1,306013,583810,453976,-1,420107,48613,-1,-1,226150,-1,-1,-1,-1,-1,565772,-1,137030,780481,595663,71904,-1,505992,574370,-1,-1,357145,139736,-1,801956,997828,182878,531606,-1,-1,166840,-1,390653,-1,-1,138081,-1,-1,-1,-1,-1,-1,-1,-1,641094,-1,304322,665410,-1,107969,-1,439914,-1,-1,-1,-1,-1,794738,208859,-1,-1,-1,-1,-1,-1,504965,-1,-1,662299,-1,-1,-1,727612,-1,-1,827675,520929,-1,-1,248201,-1,-1,-1,-1,370597,233689,776579,578137,-1,94474,907984,692397,907364,796164,563067,-1,754934,68569,693766,342003,166286,157403,-1,-1,47137,-1,665398,126899,176925,91764,625486,-1,-1,130466,343960,977621,-1,547774,776362,583885,303301,517552,728676,-1,-1,-1,940848,219797,911051,-1,640135,-1,-1,-1,328027,355474,-1,-1,975458,-1,-1,780408,-1,-1,319890,919928,-1,284408,903882,198097,622377,-1,684178,-1,-1,-1,-1,271082,490503,433075,-1,-1,890788,-1,773617,588548,-1,-1,70697,619897,-1,984252,290814,159636,-1,-1,-1,-1,423377,-1,-1,413139,744531,756628,867304,880243,448545,-1,990776,34156,-1,-1,-1,877347,552729,323431,611283,-1,947186,620399,151373,-1,-1,924641,340833,-1,-1,993684,-1,164562,-1,-1,263650,118455,160871,178403,610729,-1,-1,666134,538757,-1,823937,332346,979079,-1,374334,-1,-1,-1,-1,-1,-1,-1,-1,954205,704870,683431,979653,-1,452198,485159,749646,258316,-1,-1,-1,-1,-1,-1,-1,86686,-1,903611,-1,-1,-1,-1,816940,-1,863522,300136,196487,493758,-1,-1,-1,-1,-1,535739,-1,-1,450708,563832,587996,-1,-1,-1,972404,884211,275522,476417,-1,382818,-1,-1,924554,6606,-1,-1,-1,209366,715202,671305,-1,-1,75132,-1,-1,-1,-1,-1,996697,-1,-1,-1,603424,47603,901433,763365,-1,35404,-1,934735,258742,-1,-1,120299,323496,-1,-1,-1,-1,559103,268540,612979,-1,-1,-1,-1,-1,-1,292979,144067,-1,-1,863305,-1,-1,487850,932152,-1,19666,883431,546002,-1,-1,-1,795829,-1,-1,833011,169224,859393,-1,717107,754371,-1,423042,358766,-1,-1,-1,517505,-1,-1,-1,779784,-1,629587,-1,802101,-1,551946,-1,134691,-1,-1,700630,569833,989839,-1,-1,969037,-1,342051,178954,-1,552150,872256,-1,-1,141434,906612,181338,130478,-1,531153,-1,-1,847692,-1,-1,-1,255298,779889,571245,-1,-1,951916,847598,682331,106264,-1,-1,786509,-1,450955,498218,414638,476508,-1,-1,-1,-1,577593,908592,-1,814909,76992,-1,-1,722359,440781,-1,-1,-1,7257,882859,-1,545392,88721,-1,-1,-1,-1,-1,-1,601018,-1,662797,-1,104588,890913,-1,607487,546133,-1,722299,589577,734639,-1,-1,110089,-1,-1,-1,-1,-1,-1,387994,-1,928351,987095,-1,446381,339706,351525,-1,531731,-1,-1,-1,-1,-1,-1,-1,-1,853881,365923,16794,-1,-1,-1,803161,-1,500229,-1,202775,-1,449694,64346,-1,685098,879349,-1,426341,-1,698568,-1,-1,812220,-1,-1,326050,495617,748925,-1,-1,-1,-1,220196,-1,-1,-1,647017,-1,91389,-1,-1,809392,695938,594384,278024,802928,343933,769671,137387,199333,8724,-1,534583,-1,50543,-1,609102,-1,-1,-1,163315,951837,377036,97811,820366,336959,700670,-1,875220,404237,95725,-1,-1,702293,-1,905042,-1,-1,15526,32810,480254,773710,598181,338381,-1,-1,945896,-1,439747,-1,-1,880329,324053,647605,170343,495618,541877,516430,-1,-1,652675,-1,283866,606909,-1,605089,299076,-1,-1,-1,200795,-1,-1,-1,471512,49326,907246,-1,-1,-1,-1,440034,-1,522636,-1,-1,-1,872427,352366,-1,805164,-1,534644,-1,765009,-1,115840,580011,-1,-1,-1,-1,189233,933269,14106,-1,-1,-1,-1,991548,115140,314988,-1,415866,933601,259558,879765,-1,-1,326255,643369,-1,-1,371409,-1,-1,624553,484728,-1,978652,904764,-1,-1,-1,12673,-1,424420,647645,405184,-1,-1,434487,748316,515521,510256,-1,518587,596824,183897,-1,631534,-1,-1,619972,-1,438186,737816,119075,-1,-1,614290,389242,-1,-1,-1,335887,-1,449450,439983,252337,-1,47434,-1,-1,212945,901589,281469,-1,232097,908523,-1,974980,248602,-1,-1,-1,192853,67590,-1,-1,-1,726584,-1,251117,-1,384841,-1,-1,477481,-1,66412,477609,388095,43006,60067,54688,-1,192400,-1,254802,-1,-1,294173,874509,-1,459239,-1,586196,687110,157737,839396,209528,646360,150631,-1,807448,540185,739474,-1,722695,837559,889504,-1,-1,722920,-1,705433,463918,130194,-1,823660,-1,-1,-1,-1,-1,-1,380045,-1,-1,795309,-1,-1,711679,-1,213406,-1,802728,-1,-1,60890,475853,336351,351519,-1,313878,861006,449142,676208,-1,938482,880688,-1,798579,511304,770503,-1,-1,417446,-1,879313,990279,-1,697924,647336,-1,-1,484167,-1,-1,780880,116619,229502,761104,-1,870453,-1,517374,25147,394118,346505,-1,-1,330831,-1,-1,-1,545851,-1,-1,-1,597950,-1,18913,-1,-1,-1,-1,66968,691191,687121,541205,-1,-1,-1,-1,920810,417028,-1,395668,-1,853345,-1,354576,-1,-1,-1,-1,-1,743055,-1,-1,-1,913936,172815,-1,-1,776434,-1,-1,744778,598623,-1,663053,-1,331710,-1,-1,-1,892070,-1,385120,23796,224903,941192,732384,44712,893542,898065,-1,-1,-1,-1,-1,-1,-1,-1,-1,655697,-1,406680,-1,745731,-1,-1,388979,-1,993413,213520,219940,-1,-1,-1,-1,-1,116088,490339,184374,567935,-1,-1,-1,956913,-1,861261,573761,722810,420743,677334,-1,-1,-1,-1,259513,-1,-1,-1,-1,691221,749512,-1,42425,811190,-1,-1,-1,-1,-1,884258,728329,-1,881993,190958,939250,-1,-1,166244,-1,-1,58043,898323,654542,-1,-1,-1,-1,-1,-1,-1,774554,587009,-1,-1,-1,-1,559156,883356,314559,-1,-1,-1,215062,239524,-1,887847,396246,-1,722601,-1,-1,-1,-1,-1,-1,433164,716235,-1,60112,-1,392070,-1,-1,711169,-1,-1,717985,175989,-1,303231,436531,963230,710351,-1,-1,-1,333615,-1,-1,729206,-1,-1,-1,-1,-1,-1,386325,-1,-1,-1,-1,-1,917313,6275,230915,668500,493009,-1,622539,873,523591,701583,-1,-1,398854,472490,-1,-1,833135,428411,424961,351538,-1,343215,-1,-1,-1,-1,-1,-1,771833,944259,579108,-1,452371,398985,78472,-1,-1,152442,540909,-1,18275,303549,-1,392456,-1,208824,235177,13242,482409,72051,518590,-1,594810,986189,-1,841907,-1,712968,-1,652656,320492,-1,-1,-1,-1,-1,762608,541669,-1,-1,512809,-1,500273,-1,903967,452933,508110,-1,742986,-1,738046,999191,603373,-1,576046,-1,-1,648145,462034,-1,880182,135764,-1,-1,521612,225087,-1,-1,-1,-1,917163,464676,-1,-1,231322,254771,54598,995546,760846,-1,514931,10588,-1,416538,580276,-1,304480,666933,239313,-1,665713,406758,-1,-1,-1,388765,-1,444820,419380,181938,-1,22345,-1,-1,874215,-1,-1,-1,-1,-1,-1,185020,-1,-1,-1,454806,-1,962631,-1,-1,197377,-1,-1,41516,501161,-1,352978,391804,548463,-1,318421,132435,-1,-1,204646,945315,23785,289190,-1,614837,-1,288782,683337,-1,524901,160858,-1,581312,-1,579525,455864,708084,197210,-1,242037,-1,-1,906564,818711,751452,960771,-1,98538,-1,567993,-1,-1,23304,182156,-1,-1,442257,26669,-1,-1,922481,-1,255559,522306,770697,-1,401203,-1,-1,798586,-1,-1,-1,-1,834571,670507,577204,-1,873195,620059,377178,67114,972933,-1,-1,-1,284114,-1,527185,-1,694596,713933,-1,469266,421786,-1,400491,-1,369256,146051,-1,-1,-1,113696,325146,-1,-1,-1,-1,-1,237675,752938,-1,-1,-1,326750,-1,187767,-1,419293,-1,-1,-1,748671,-1,645779,-1,502641,357977,-1,-1,300561,-1,173370,-1,437966,-1,430582,7581,549941,-1,660897,481768,53044,236389,318750,-1,716461,-1,472507,611460,-1,-1,256427,134300,-1,795566,-1,-1,581817,962326,642646,477378,-1,-1,120354,67064,606243,142925,-1,-1,-1,380349,-1,33680,-1,909530,667216,879058,-1,-1,811087,-1,-1,-1,-1,-1,-1,926111,895707,-1,-1,-1,-1,666890,-1,395247,892488,-1,314119,65043,277435,198460,357436,337670,-1,816769,691167,512100,-1,-1,-1,-1,-1,732847,254200,-1,993822,489969,499119,-1,-1,225599,56030,345724,529855,-1,36639,-1,-1,367822,100568,-1,-1,193571,-1,550240,-1,-1,-1,-1,649227,-1,-1,482709,513794,-1,604824,-1,-1,10068,418056,-1,-1,564053,450386,-1,-1,-1,674577,-1,-1,795366,-1,84836,-1,873591,-1,-1,904101,-1,257500,457325,782165,-1,-1,631505,887271,167422,-1,837974,-1,977837,311688,-1,331304,813224,-1,567594,-1,39026,-1,-1,-1,378722,444819,873029,-1,-1,-1,-1,-1,-1,300728,317242,-1,-1,-1,832904,-1,818827,318512,-1,149350,665424,-1,258835,740606,99567,635936,-1,-1,284444,57326,907850,-1,-1,-1,381850,-1,720720,-1,202319,-1,839277,-1,-1,-1,368551,732710,892324,479568,-1,-1,-1,-1,-1,994708,878408,-1,538291,174602,859231,-1,577219,-1,282686,171333,972942,-1,-1,-1,-1,144506,566294,-1,786878,445753,518422,-1,473228,811510,262913,-1,-1,-1,619049,999154,-1,823448,-1,-1,657065,-1,-1,21483,-1,620411,-1,894663,-1,361047,773940,-1,-1,174671,-1,235814,327250,-1,-1,-1,-1,498952,-1,50537,337430,37824,626854,-1,679906,223273,268613,310166,-1,-1,844386,-1,419692,742763,-1,798679,305144,-1,99820,31963,-1,536007,-1,-1,-1,-1,-1,-1,645274,868057,-1,735995,983038,192209,646363,541719,699404,259138,-1,259010,-1,-1,-1,229292,249860,-1,-1,285111,-1,-1,-1,779469,742989,-1,61184,294550,-1,-1,-1,939912,-1,33923,344116,452437,-1,-1,950504,670030,-1,647640,962726,755755,700156,502384,380640,734678,-1,542296,-1,-1,-1,46580,-1,550158,-1,-1,367510,663298,-1,154298,-1,148119,584412,-1,855841,-1,922196,180201,-1,753592,-1,404751,253582,16224,-1,-1,-1,-1,292787,690318,-1,-1,853036,277839,25306,613313,709409,-1,-1,348453,-1,322702,-1,-1,552197,467625,-1,-1,-1,361202,385267,-1,93312,145759,-1,-1,153694,-1,-1,-1,-1,-1,262140,-1,-1,-1,-1,-1,583933,-1,390242,-1,750302,14379,-1,-1,-1,796111,-1,-1,-1,-1,-1,-1,654310,561999,693491,574329,469301,-1,125730,-1,162025,-1,-1,375726,-1,-1,-1,-1,252925,-1,236821,328900,499959,-1,-1,635302,116667,299470,-1,-1,974433,687892,912280,-1,-1,-1,-1,836690,-1,519585,-1,326183,150480,39435,-1,333515,-1,-1,-1,-1,217122,-1,859488,-1,786876,834586,-1,-1,280325,-1,40871,-1,188921,107479,287808,7272,134926,912574,-1,-1,-1,-1,768520,-1,876102,-1,549416,367718,-1,43366,-1,-1,632459,-1,514539,231479,-1,-1,-1,-1,-1,696002,138376,29612,-1,224482,-1,-1,-1,-1,571513,-1,-1,-1,-1,182858,898751,-1,650461,672716,-1,-1,15418,-1,801503,-1,-1,-1,498441,-1,-1,312943,479871,-1,687453,-1,-1,-1,-1,-1,-1,872429,-1,-1,134592,555458,510773,577936,-1,-1,-1,773336,-1,512956,953775,532651,989852,-1,485963,887167,-1,377770,248282,964355,875207,610630,295086,-1,-1,-1,141314,-1,33476,153940,620635,-1,804351,179456,-1,576332,-1,974026,69605,-1,663343,-1,-1,570477,-1,953213,529255,200439,917967,-1,-1,-1,190879,-1,148916,886699,421528,-1,158955,316126,62559,-1,475629,-1,906791,677792,519148,47042,-1,-1,-1,-1,697706,404703,-1,-1,-1,142847,-1,120526,498262,789859,353050,41874,-1,-1,-1,-1,-1,-1,487311,715902,947324,333336,-1,797930,-1,531106,212181,341180,-1,156198,-1,-1,482563,-1,-1,-1,-1,47178,-1,-1,33123,-1,-1,789907,-1,-1,-1,-1,-1,518162,278693,792818,-1,68997,348678,370972,339500,-1,-1,-1,-1,-1,-1,49610,-1,829527,-1,399501,-1,-1,431464,-1,-1,-1,454576,404736,26119,-1,-1,-1,-1,770320,-1,606996,502398,270105,-1,687531,-1,-1,-1,724559,559121,-1,68542,-1,877657,-1,-1,-1,-1,955269,-1,-1,961622,-1,334812,-1,-1,989607,-1,818635,-1,108172,-1,-1,474572,-1,-1,492159,939192,302183,-1,438949,-1,-1,725178,-1,-1,150674,321758,-1,-1,-1,-1,-1,-1,609203,510275,-1,-1,-1,-1,-1,313302,473170,-1,220742,-1,770020,-1,831259,660890,-1,352802,655647,880727,123718,-1,-1,496616,702254,-1,-1,-1,390148,224764,297941,526993,806482,146392,-1,-1,872466,-1,-1,106646,-1,-1,-1,-1,699142,-1,780258,12257,-1,-1,-1,-1,-1,-1,577181,-1,-1,949888,863568,-1,933715,-1,-1,-1,932554,-1,-1,320057,72160,-1,134787,-1,-1,-1,-1,231459,-1,-1,803456,-1,-1,-1,33752,-1,489169,-1,-1,-1,-1,205160,-1,-1,951614,940327,500980,64442,709835,405206,586618,-1,-1,515608,-1,-1,454674,-1,953618,444019,-1,-1,-1,-1,-1,-1,-1,-1,-1,262241,954220,262976,657895,-1,-1,268706,339182,435913,-1,-1,-1,-1,350057,-1,85084,-1,-1,-1,235061,757557,490320,-1,-1,70352,-1,-1,884833,-1,-1,868263,219151,-1,-1,-1,875342,558798,-1,-1,909360,-1,475187,243842,957496,933819,-1,-1,616844,-1,-1,-1,-1,-1,-1,140590,-1,517180,-1,-1,748196,859229,4908,710417,508130,181358,-1,463660,-1,98232,784702,606314,758007,-1,-1,-1,-1,119220,-1,-1,-1,-1,-1,-1,438109,434410,479758,50831,697819,941491,-1,940866,622851,59868,840708,995610,778105,-1,-1,352111,-1,-1,733003,-1,332385,-1,-1,328935,797597,94378,-1,-1,-1,366915,898767,-1,-1,-1,-1,91057,-1,-1,-1,551920,-1,686545,-1,927396,-1,103483,627449,-1,-1,414743,-1,215764,-1,-1,-1,-1,-1,128987,764820,-1,-1,591367,-1,-1,-1,-1,470462,-1,-1,-1,-1,-1,888924,-1,532137,-1,-1,-1,813563,522036,-1,23903,-1,320611,328857,837058,-1,175211,610032,-1,-1,242513,812253,-1,-1,-1,535320,383526,13046,-1,501926,-1,-1,-1,-1,552773,720436,467882,891272,-1,-1,998624,316707,704968,-1,754053,838875,-1,-1,-1,-1,121618,363609,561620,-1,583938,-1,-1,-1,-1,-1,586421,-1,-1,558226,-1,-1,655941,-1,-1,-1,690459,350182,-1,-1,-1,-1,-1,702041,407260,-1,924012,-1,208392,-1,928430,-1,786278,-1,-1,-1,456469,500762,-1,732101,-1,-1,283526,-1,874771,511473,856375,-1,478769,869702,-1,753504,49815,-1,58161,997860,137622,-1,955506,-1,540141,-1,-1,637020,654734,-1,214746,833520,46372,484398,43433,253712,-1,50890,135528,569820,55142,-1,-1,329401,871553,434036,-1,-1,988606,-1,-1,-1,-1,993318,-1,390043,822996,-1,-1,-1,-1,545522,-1,296289,-1,-1,976977,-1,66492,410741,111536,169594,395813,507492,790887,209625,-1,57556,-1,-1,71559,655762,-1,-1,-1,-1,582999,-1,105424,883157,-1,190192,-1,440522,124401,282933,-1,543508,-1,-1,-1,78304,-1,-1,517743,-1,-1,494222,-1,-1,747362,784113,195218,-1,-1,985714,-1,-1,533262,-1,-1,247646,669161,-1,-1,596858,959231,-1,691426,12936,24333,-1,-1,414569,664542,-1,370832,982753,-1,73763,-1,-1,-1,934779,-1,-1,-1,135855,367259,719266,19965,-1,-1,-1,-1,856147,666135,850420,-1,219859,-1,-1,-1,607147,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,285552,883266,-1,627679,495278,-1,-1,602729,407997,635694,-1,-1,562715,817109,847762,-1,55442,285306,-1,-1,265486,275886,139345,489217,-1,973139,-1,-1,99256,-1,-1,611780,-1,310096,45423,702482,-1,-1,761873,107790,-1,-1,-1,349658,732547,695482,773261,-1,-1,871612,-1,560249,-1,417148,669452,609571,-1,-1,-1,-1,-1,534255,-1,737197,-1,843299,46186,-1,677554,-1,41763,226206,968173,401073,895784,-1,315308,-1,615799,180686,509135,629863,-1,-1,-1,396495,708895,790035,855820,706818,-1,-1,-1,219778,-1,337213,-1,605509,905477,401625,-1,60008,869783,-1,-1,600458,-1,-1,382008,-1,41594,-1,424033,-1,-1,730346,-1,-1,337516,-1,-1,-1,-1,-1,451447,-1,-1,844131,525783,763702,827798,382261,999925,-1,-1,817504,-1,-1,-1,-1,-1,-1,269661,-1,464280,-1,-1,644168,-1,762060,765818,-1,-1,-1,-1,696994,50735,175568,983018,170553,802150,518603,979252,-1,-1,-1,804273,-1,912453,-1,413395,-1,186328,-1,-1,-1,304132,280177,-1,853615,-1,-1,-1,-1,-1,-1,-1,170508,-1,962270,-1,-1,-1,310099,-1,540881,-1,-1,-1,575198,-1,956101,-1,-1,-1,-1,-1,421930,-1,969241,10657,-1,-1,-1,478687,-1,-1,73673,-1,-1,-1,-1,974122,885302,-1,-1,-1,-1,786290,-1,170075,-1,33352,-1,311753,-1,925253,-1,-1,16700,-1,95469,433780,-1,-1,-1,205543,518034,-1,856313,204510,510425,443872,-1,-1,899850,920497,797622,441698,-1,207161,-1,288083,775871,-1,566347,79504,-1,928474,996754,-1,99361,-1,-1,-1,521896,764556,-1,755568,-1,677337,239451,844477,827996,-1,14012,-1,-1,250699,-1,-1,323811,-1,738565,893159,-1,-1,675335,819311,-1,-1,15671,268548,670875,-1,266687,256781,-1,-1,908307,773840,-1,220951,799132,-1,-1,36856,-1,-1,-1,-1,164911,79473,971068,941372,-1,-1,262456,-1,-1,-1,636523,719096,166085,205571,-1,252019,926319,-1,402292,-1,-1,-1,886965,-1,-1,392880,-1,800171,-1,-1,807311,722341,-1,-1,66844,586064,570160,-1,843717,-1,-1,274314,701138,901320,-1,175318,-1,229176,-1,-1,785143,293165,-1,292935,-1,771622,-1,-1,-1,773645,776984,-1,53795,-1,-1,-1,-1,213105,81602,642484,18574,764215,-1,-1,810529,773948,898222,745808,-1,-1,246991,310092,555477,650303,-1,-1,407228,476955,800959,-1,-1,598093,-1,327093,-1,-1,716434,-1,-1,-1,-1,-1,-1,-1,637249,-1,-1,-1,-1,-1,888140,-1,-1,173413,888851,-1,-1,-1,-1,323265,438006,249764,-1,-1,-1,70321,-1,-1,79963,168748,689114,110419,-1,346691,134193,690842,-1,-1,372509,63830,277382,-1,192250,628450,-1,-1,668792,-1,-1,-1,83863,224417,-1,74467,5605,164629,900515,475723,-1,-1,-1,329157,577225,-1,657902,-1,-1,287632,-1,-1,-1,-1,-1,-1,-1,822517,35623,233326,-1,-1,249067,-1,-1,-1,678686,-1,-1,-1,748594,-1,-1,745689,-1,-1,446710,923418,-1,-1,-1,-1,-1,483608,964748,590572,160847,350029,918960,512281,-1,974345,807334,-1,694585,-1,755742,-1,-1,391326,-1,-1,-1,-1,368565,186886,514049,-1,-1,511924,-1,619601,-1,-1,-1,-1,598518,-1,455702,-1,831467,158501,-1,-1,683064,917352,995240,-1,-1,320783,-1,-1,-1,-1,-1,272650,698021,-1,-1,646296,-1,-1,-1,-1,883348,53332,584904,104922,-1,69240,123403,484623,-1,155911,912960,498381,181372,-1,-1,212075,-1,-1,-1,58471,-1,-1,-1,52986,644829,731151,307066,-1,667986,-1,648443,-1,770602,-1,-1,965062,573879,-1,-1,656472,102319,940626,569158,-1,-1,745516,268927,-1,357012,128774,-1,347586,785574,-1,395124,707860,-1,-1,631733,935815,822093,-1,-1,-1,-1,-1,-1,-1,-1,413800,171731,592661,114235,-1,332228,8534,105048,-1,431611,925258,841589,-1,599330,-1,490956,-1,-1,182778,349700,-1,-1,868525,354611,-1,569908,-1,-1,750210,-1,-1,-1,-1,166123,844728,-1,296436,-1,-1,-1,560351,-1,23329,98717,-1,467022,234692,-1,279878,786000,860191,578103,-1,577633,-1,-1,297437,196254,399968,190756,255078,221856,33411,524592,-1,-1,-1,-1,-1,87792,547331,-1,168371,482631,-1,-1,457698,639608,-1,218602,-1,953047,672718,-1,-1,695990,-1,596666,-1,-1,-1,298178,-1,-1,602223,660043,24581,-1,-1,503768,822890,285014,561071,635745,-1,-1,455315,322122,-1,-1,-1,828450,476867,-1,739188,-1,-1,291669,-1,-1,-1,-1,-1,338916,376179,226125,478021,-1,-1,827879,582066,-1,-1,-1,-1,-1,250219,-1,589246,791154,558317,-1,-1,-1,-1,-1,-1,913146,-1,-1,-1,179211,39971,-1,935331,62103,-1,-1,-1,-1,289073,-1,799243,-1,-1,855469,949904,559350,466407,665608,561437,551215,401649,391309,-1,-1,260011,883521,33781,207122,233071,279355,-1,-1,392522,-1,600293,-1,575470,124670,-1,-1,-1,665149,286479,833946,463466,757952,-1,164695,245243,400390,-1,875816,-1,403138,-1,77013,602704,175758,946452,-1,-1,724906,-1,-1,-1,-1,-1,182332,-1,242209,-1,-1,-1,736152,820365,921649,400959,605012,386593,-1,750380,-1,561004,-1,120645,816771,-1,81227,-1,-1,753823,480256,157133,-1,927983,252577,-1,569491,-1,480075,358180,691148,-1,-1,-1,24044,447382,-1,-1,-1,729007,157909,-1,389548,-1,-1,510608,-1,126290,588299,-1,479248,-1,-1,753441,-1,548828,-1,712412,725015,-1,18909,580218,-1,445096,893826,-1,755601,257211,-1,162915,-1,100247,-1,763003,850363,828422,120237,910937,561868,-1,-1,454662,-1,-1,35790,61427,902320,-1,825772,-1,375697,65425,-1,12719,180050,773446,866189,-1,459186,895236,199451,-1,247755,697658,537499,-1,747770,774455,782099,170317,711457,-1,865978,-1,461440,831241,106727,724699,371420,-1,245528,-1,-1,890872,-1,-1,24063,797957,-1,808817,-1,-1,-1,42132,-1,-1,100220,296500,936735,-1,-1,-1,234722,888435,-1,795375,870070,707545,-1,268027,-1,135807,-1,-1,435085,-1,42596,211170,-1,-1,-1,-1,-1,878680,730494,262064,-1,108653,694255,734442,-1,-1,-1,-1,375162,-1,-1,-1,831399,-1,868626,922741,669607,9050,691282,-1,236378,-1,826843,-1,-1,317615,-1,731356,-1,-1,-1,-1,-1,-1,-1,-1,-1,944048,-1,-1,169886,-1,214580,-1,-1,377458,-1,385954,-1,145626,-1,-1,800604,-1,393621,-1,450779,-1,-1,715129,-1,796328,194932,-1,684749,72795,-1,-1,-1,-1,610375,-1,-1,-1,-1,-1,-1,-1,-1,553605,62095,-1,287224,150434,-1,-1,-1,-1,-1,535357,-1,230303,-1,-1,-1,326578,193474,54454,531568,74315,651017,791234,467797,727166,940579,293260,187948,166565,-1,-1,867762,212605,126333,177130,-1,-1,827676,900028,-1,705006,672335,-1,-1,943502,742942,790463,-1,73355,-1,537132,843636,-1,220802,971188,795962,803499,-1,208493,667257,-1,-1,651309,322397,-1,-1,841094,-1,-1,-1,231867,728808,-1,-1,-1,-1,-1,18329,396824,-1,-1,603186,408284,749891,959136,515955,354430,-1,982563,701334,-1,696859,-1,-1,12929,331572,785412,-1,-1,582312,-1,837019,-1,-1,57453,78589,576014,-1,-1,434124,277667,55130,263218,569650,450040,-1,875868,256749,379487,-1,449640,-1,-1,454975,925938,829947,-1,-1,-1,28753,974599,138790,-1,-1,738888,-1,-1,-1,-1,410640,-1,-1,-1,197205,-1,181444,-1,-1,-1,-1,403570,-1,-1,888872,-1,403765,966842,234507,-1,393805,-1,733545,-1,256815,-1,-1,-1,-1,126083,-1,-1,-1,904972,767297,-1,896253,981747,145729,436089,-1,503049,-1,384509,-1,356153,-1,-1,559900,-1,-1,-1,-1,66191,929092,-1,28831,-1,49633,160482,630716,-1,-1,-1,-1,-1,134440,-1,-1,-1,-1,369890,-1,-1,489711,239975,-1,154260,-1,254103,378820,-1,366502,-1,-1,287801,658721,937604,-1,752255,859748,695709,194301,252469,-1,-1,-1,875312,859747,-1,220973,260584,571220,187994,-1,892238,-1,-1,-1,885662,217343,724170,244471,496700,276432,-1,134271,350337,501533,-1,32851,-1,-1,-1,-1,53675,304927,43745,-1,-1,6816,-1,-1,230922,-1,-1,-1,-1,-1,-1,-1,-1,736155,7767,993282,510276,-1,78428,-1,850579,-1,904209,415697,777754,97612,-1,808434,-1,452424,-1,-1,518544,21445,546203,93688,418451,137624,385915,-1,-1,191131,857252,-1,791466,-1,275890,468550,235682,-1,81999,-1,-1,653763,-1,573530,-1,5300,528327,-1,-1,93868,974803,567005,320267,203191,634350,-1,-1,93986,-1,-1,-1,-1,-1,62603,-1,-1,190782,164091,-1,-1,278644,799915,-1,745197,-1,-1,90388,994684,285180,-1,-1,-1,-1,605231,-1,-1,173288,-1,748271,-1,568752,-1,-1,-1,-1,-1,146943,437777,223207,-1,551147,-1,-1,239674,-1,66762,70795,-1,-1,771054,-1,287753,-1,322250,871375,-1,-1,790589,383746,-1,-1,-1,382628,-1,-1,-1,-1,890949,172925,163035,418130,810924,-1,-1,699104,480224,443009,723087,306487,-1,-1,-1,36013,-1,393706,515938,-1,-1,-1,181920,228849,-1,-1,883012,-1,-1,-1,-1,597066,302735,440186,587212,917935,870247,-1,-1,-1,305621,463947,241485,-1,-1,-1,459317,-1,-1,-1,211077,462848,-1,-1,-1,977625,-1,-1,120285,480210,814378,810610,-1,242027,-1,-1,-1,428666,581142,-1,347259,944363,391573,218116,-1,-1,671452,998407,448717,-1,647935,882228,480807,-1,-1,558039,-1,140657,-1,263928,989287,-1,376169,710656,-1,409568,79310,169344,-1,498525,781861,153477,674393,948821,-1,675743,233791,-1,-1,-1,-1,-1,326729,-1,-1,-1,-1,-1,322167,66686,866540,147119,661416,491298,-1,-1,-1,313787,-1,-1,121678,951953,-1,657235,-1,-1,-1,54534,241396,-1,778941,-1,-1,-1,-1,659234,826208,432145,-1,-1,989814,428081,918060,58791,133528,311010,-1,948449,752328,886189,-1,911271,-1,829135,963345,-1,-1,-1,770114,147745,380441,985484,183539,-1,163049,439384,106086,669191,-1,215306,-1,469267,966967,749546,-1,757067,440616,860230,520923,616925,648166,-1,464399,-1,-1,-1,958383,-1,-1,-1,-1,725551,-1,97914,-1,-1,-1,185411,-1,-1,769375,-1,-1,653897,-1,-1,994364,-1,474875,-1,-1,15517,723668,-1,747330,18819,-1,861669,343661,-1,-1,-1,-1,852781,30997,545483,139789,109379,27763,967482,-1,-1,958662,828826,-1,-1,878894,-1,-1,-1,933928,96571,-1,-1,768464,-1,-1,-1,-1,-1,178588,874182,-1,672163,-1,884697,400721,-1,60066,-1,602563,143882,-1,105970,-1,905320,-1,-1,755300,95990,418227,59360,-1,823730,-1,-1,340162,-1,49515,-1,558426,137110,-1,-1,922324,577780,313877,678151,-1,-1,-1,714306,-1,837380,412649,-1,-1,-1,-1,852329,412246,-1,949135,-1,424898,-1,471004,776560,-1,-1,-1,182714,-1,-1,-1,-1,883411,877923,262662,851253,592722,-1,-1,-1,-1,486539,94568,-1,-1,-1,30804,718224,857701,-1,-1,-1,-1,-1,-1,692241,-1,344351,133500,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,837618,780317,-1,-1,604577,-1,-1,187847,-1,-1,682754,-1,-1,79730,681438,919096,349245,-1,-1,483753,708184,-1,-1,-1,463069,383315,60282,-1,-1,956488,592166,-1,488310,457262,-1,-1,320633,-1,858255,-1,-1,-1,198890,-1,-1,693396,411930,-1,770077,104246,21627,-1,874335,575646,379625,630465,-1,970513,-1,-1,132238,-1,45790,-1,894562,830458,933394,-1,-1,-1,799321,-1,-1,162414,706022,618261,-1,417165,-1,227805,82021,-1,-1,664940,-1,-1,517487,629448,994606,-1,-1,527645,-1,-1,-1,-1,-1,359815,-1,212592,307017,796902,-1,683999,207477,-1,874166,284390,298591,130504,206088,-1,-1,931793,350134,-1,692461,-1,-1,-1,496499,211171,694614,976786,-1,-1,990757,-1,895342,-1,-1,953670,421276,646940,-1,-1,567326,-1,666379,829555,-1,-1,-1,-1,-1,548986,-1,-1,-1,-1,148870,61331,-1,21063,-1,-1,387710,337018,-1,-1,-1,911677,-1,942290,164439,59810,360924,-1,282219,-1,-1,685864,-1,-1,30925,-1,-1,539050,690961,-1,70507,829601,-1,435723,-1,-1,-1,-1,833078,-1,-1,625446,322651,-1,863047,-1,817572,967156,81344,179348,41129,-1,235787,957587,638120,-1,729713,73338,-1,852382,937755,894977,-1,-1,-1,349315,118811,403573,-1,785349,-1,537891,201932,588491,-1,679853,-1,364494,-1,221025,51734,-1,-1,678949,-1,-1,815942,853443,840559,-1,905057,-1,788613,105145,-1,-1,18450,-1,479640,680673,501997,178736,582224,-1,-1,790318,571623,-1,-1,-1,-1,-1,110284,320619,763773,-1,-1,392325,231702,783,974534,588289,-1,-1,52817,72385,-1,-1,-1,370261,641213,-1,654565,-1,644640,-1,911693,-1,-1,114632,87916,-1,-1,-1,383653,-1,-1,704119,749595,-1,995029,152806,-1,-1,-1,-1,597883,976782,-1,-1,116013,745484,-1,261896,658800,-1,-1,-1,816466,-1,913177,209995,-1,-1,332965,-1,-1,-1,52382,330241,-1,-1,-1,118905,108487,-1,619760,-1,548902,325864,-1,-1,-1,-1,-1,476474,982531,-1,-1,979478,-1,323292,248490,-1,74005,40390,-1,-1,954783,728678,121426,386759,-1,594878,685414,673650,879243,-1,140769,663567,920599,262961,670019,-1,466610,746352,347045,363132,765388,-1,929770,558589,512293,703843,368044,634256,-1,-1,-1,757412,-1,243883,-1,-1,-1,-1,16131,599218,-1,600466,-1,-1,915633,686807,670972,13825,-1,-1,393486,968676,-1,-1,-1,81607,923870,862620,244592,-1,493153,-1,-1,-1,-1,763749,-1,530696,-1,595337,875202,-1,228969,592577,420603,259105,-1,203917,-1,240335,391396,-1,-1,508599,658945,339873,973425,-1,-1,340194,348722,351752,165082,-1,725108,-1,-1,531766,-1,-1,921788,-1,858078,566647,408109,-1,550383,867510,949244,309754,654484,-1,195485,798050,927067,980108,258534,-1,-1,427,167448,956367,-1,707067,-1,-1,-1,938703,-1,-1,352195,922669,-1,255278,420923,378904,-1,-1,-1,996901,415677,485526,-1,668817,485645,-1,430219,-1,869117,-1,34966,-1,-1,-1,554593,-1,313894,-1,526337,-1,-1,-1,19957,581856,231969,974374,-1,-1,-1,808786,183040,-1,-1,906049,-1,4482,-1,-1,-1,579693,678653,747753,-1,979473,138452,-1,187926,697261,755997,-1,87726,664816,458743,-1,283456,822998,-1,217125,571078,-1,-1,74322,910387,530367,-1,-1,765807,-1,-1,592840,636842,-1,-1,-1,-1,-1,-1,-1,-1,189211,-1,-1,289989,-1,346145,859673,-1,426014,810538,196625,188198,341605,476826,-1,-1,-1,886170,-1,-1,-1,-1,-1,157399,355467,-1,426545,810335,-1,272161,247390,-1,-1,216475,821272,-1,-1,-1,-1,107567,151483,10711,-1,-1,704324,-1,-1,-1,280152,113823,-1,918616,910285,556153,656255,-1,-1,83515,793560,999073,335890,-1,100379,-1,189402,-1,283688,-1,-1,918868,167444,841520,556330,875431,-1,-1,129886,457461,-1,-1,967189,-1,479932,912381,780322,-1,-1,380071,-1,211738,983590,254522,-1,596680,522787,-1,320716,828776,-1,-1,265677,544823,-1,820025,-1,-1,-1,-1,325200,-1,-1,213055,-1,-1,740331,679834,141865,73334,-1,803776,-1,-1,-1,161331,131178,557600,912319,681884,-1,482156,240461,-1,-1,-1,-1,-1,-1,-1,535054,661998,-1,-1,-1,983140,564166,-1,-1,915071,383734,617988,653340,25945,-1,-1,383535,-1,-1,57558,-1,-1,926823,632046,-1,207491,818660,-1,-1,-1,-1,-1,273262,388519,-1,-1,-1,270288,88420,-1,719080,-1,-1,762674,-1,219704,-1,711406,-1,179179,-1,-1,863437,586149,245922,378377,-1,-1,748593,-1,122256,538835,58503,-1,-1,-1,446087,-1,169038,-1,-1,-1,-1,-1,-1,806314,518090,239423,-1,949316,-1,-1,-1,854607,-1,749175,553739,774660,-1,-1,-1,630693,333473,-1,-1,-1,543557,513961,-1,184772,228012,-1,116770,-1,-1,276408,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,179175,-1,-1,83992,-1,816715,750412,951343,544951,481646,933016,-1,265352,688518,-1,-1,211871,764899,905936,-1,-1,-1,944943,762853,8945,550870,-1,71872,-1,361667,-1,403809,756665,-1,-1,565817,514997,-1,833058,519751,628313,-1,-1,862634,-1,475894,477491,781699,-1,-1,685396,-1,355,416770,-1,-1,369001,225458,862407,232517,865266,388053,-1,40695,-1,-1,384521,860257,842497,416185,-1,169815,-1,-1,293873,-1,908769,42393,-1,-1,-1,-1,-1,-1,113987,-1,-1,283203,549384,-1,-1,53855,884477,854078,670920,182174,651086,255779,-1,854191,-1,965916,469445,-1,-1,770120,-1,-1,-1,981049,-1,283093,-1,-1,235178,-1,-1,580222,27137,51996,-1,-1,-1,-1,880480,-1,779387,265472,553908,-1,366082,-1,196875,-1,214162,-1,988714,-1,-1,-1,-1,526122,-1,902182,898503,-1,-1,32514,344471,476359,-1,-1,786931,-1,-1,443617,127210,-1,595002,244441,180574,-1,9009,-1,379721,824477,913277,972024,919984,497874,178104,36281,926012,-1,352783,-1,609909,618836,-1,443051,-1,676922,-1,-1,-1,-1,-1,473075,-1,-1,227855,75026,-1,-1,-1,917083,890666,167536,-1,941565,-1,-1,972810,-1,839372,-1,-1,-1,-1,612926,193953,-1,-1,318070,-1,-1,-1,221497,-1,-1,486311,909593,-1,-1,463670,-1,95743,277006,-1,989375,-1,-1,386609,-1,96873,-1,-1,-1,390816,-1,-1,336147,777249,479488,398383,-1,596108,-1,825626,-1,881292,-1,132085,333087,389234,751685,-1,-1,-1,181566,-1,-1,624979,-1,-1,-1,-1,808389,-1,-1,-1,-1,111520,128808,-1,214587,-1,373643,-1,-1,559998,-1,-1,65814,-1,-1,71356,633717,666158,-1,-1,-1,232469,-1,-1,-1,-1,453575,278052,837069,-1,-1,-1,-1,38950,562752,174620,-1,-1,109523,-1,-1,-1,570906,243560,266199,-1,-1,694493,-1,-1,830344,-1,-1,456893,355762,-1,-1,-1,566687,76141,778372,790397,124806,-1,-1,-1,593422,-1,-1,-1,621786,132959,-1,687724,-1,-1,382442,-1,-1,-1,372751,-1,261071,-1,-1,788806,-1,358868,-1,-1,393036,-1,-1,-1,822072,-1,-1,399826,837354,310559,-1,-1,624655,-1,-1,428580,-1,-1,349534,323973,650413,611219,305973,557340,-1,-1,-1,440765,234352,795082,561959,320260,-1,-1,990071,224180,64729,-1,-1,-1,323638,-1,-1,-1,-1,305953,579208,716295,962263,832757,571785,646020,-1,-1,995687,231680,-1,-1,-1,703287,-1,954507,-1,-1,177265,974715,-1,-1,-1,-1,621018,253800,460903,978122,521402,123125,-1,840871,766446,-1,-1,-1,-1,-1,-1,428776,-1,796426,560474,454086,-1,341308,971643,-1,-1,627562,422913,451356,703962,492298,227045,-1,126486,416193,550274,-1,748970,-1,-1,-1,-1,-1,-1,-1,194309,793964,-1,-1,-1,3446,-1,712260,672511,605011,-1,-1,828399,-1,-1,994252,-1,231174,-1,824239,129146,442047,-1,-1,412587,202162,286358,517826,-1,406152,946556,-1,-1,590574,-1,645281,-1,516273,153729,-1,-1,-1,37462,-1,426944,-1,-1,648748,-1,-1,-1,-1,101679,-1,142516,-1,-1,813496,-1,-1,-1,903552,-1,-1,-1,-1,-1,477425,416537,407056,-1,-1,157709,-1,106393,-1,245741,247237,804880,379510,830425,-1,891846,313958,-1,526103,362969,83948,-1,610239,555627,-1,-1,-1,-1,-1,562735,741611,-1,825244,416857,170683,-1,941090,743161,-1,561385,764278,321379,998817,-1,-1,-1,571813,494775,-1,289360,591602,-1,522843,479007,585179,17033,436758,-1,-1,97058,547788,15583,-1,-1,-1,-1,987019,127825,-1,201225,-1,795225,-1,-1,-1,575935,-1,139815,221700,-1,65513,-1,-1,837059,302424,668897,512881,392818,-1,-1,-1,867288,-1,-1,-1,947582,599708,-1,-1,54639,250,-1,-1,494449,118000,766906,-1,430692,288047,102809,144416,459299,256599,-1,-1,623830,86583,622655,152409,899444,877081,-1,-1,-1,791207,-1,867689,-1,-1,-1,83062,-1,570684,317745,408682,-1,-1,170750,543532,-1,66476,-1,-1,-1,-1,725611,-1,-1,-1,-1,-1,312502,42843,-1,-1,632316,-1,880175,-1,-1,123133,348881,103617,-1,-1,-1,-1,-1,953324,196813,-1,499552,246470,21393,-1,-1,378344,-1,351541,-1,-1,-1,-1,593801,-1,778205,-1,-1,297655,647472,-1,-1,-1,-1,898774,-1,933988,835493,-1,390147,-1,-1,739300,-1,-1,-1,463028,120380,390655,525201,685453,-1,311968,-1,-1,891123,-1,-1,144273,-1,-1,-1,-1,-1,532111,476662,346712,110958,833367,683733,-1,-1,-1,395733,459488,-1,885808,884970,-1,-1,-1,-1,-1,835274,-1,-1,-1,-1,-1,132577,-1,729675,583408,484443,613531,-1,-1,-1,272348,-1,-1,454705,152909,421905,658744,525211,679095,747894,-1,701604,123780,101588,770582,822779,-1,210697,-1,-1,323053,118607,929789,156503,451130,-1,-1,-1,-1,399302,-1,793091,290581,-1,-1,382533,49971,415154,380861,161649,-1,-1,-1,344295,74540,-1,428207,18904,884556,-1,-1,-1,-1,278184,-1,431521,-1,-1,-1,-1,-1,473947,406417,84919,-1,782048,-1,993273,771876,-1,-1,594113,-1,-1,-1,674465,85150,-1,-1,90342,113402,94663,-1,778629,263963,526173,512550,940475,-1,952369,-1,111345,-1,903154,302012,173305,774753,42313,-1,667153,-1,36136,379966,-1,-1,-1,507699,-1,323679,270997,379948,-1,350871,621520,264727,985082,-1,801876,-1,-1,495304,904495,-1,946178,-1,504397,200212,430987,381787,991321,-1,-1,-1,254412,-1,709691,-1,617567,-1,-1,-1,289549,-1,-1,-1,-1,-1,-1,526488,-1,821237,-1,-1,-1,-1,674738,367196,-1,559072,33298,-1,203171,588335,-1,-1,-1,-1,656671,129733,-1,887555,-1,-1,-1,-1,-1,-1,-1,-1,699955,361950,-1,60468,-1,115903,-1,-1,-1,-1,462052,537945,639717,659061,-1,44576,568158,-1,-1,414866,-1,727102,-1,105818,-1,72629,140813,-1,510664,-1,604521,-1,161261,-1,-1,-1,675281,736900,-1,-1,-1,-1,-1,148598,617996,-1,-1,-1,943273,-1,-1,-1,-1,-1,484078,-1,597640,-1,843919,-1,517077,-1,525450,848040,342302,-1,513642,-1,731298,-1,-1,111501,-1,-1,-1,-1,-1,-1,-1,614098,-1,593250,-1,-1,-1,-1,-1,-1,-1,-1,354250,-1,-1,376441,-1,403475,60722,11599,-1,-1,29606,-1,-1,793045,869833,66057,188763,374380,-1,438495,92415,633372,609749,247650,118026,330317,-1,186644,885802,506074,158370,237100,-1,-1,-1,459051,280596,979108,533369,-1,319729,645195,-1,-1,-1,-1,243132,-1,-1,-1,-1,262011,-1,459337,982011,314380,-1,-1,-1,182497,-1,-1,613642,-1,664319,-1,-1,257159,-1,-1,-1,-1,358225,-1,-1,-1,-1,275062,-1,-1,-1,-1,-1,19909,580715,-1,874297,221496,878854,-1,143299,675077,625840,-1,301314,373242,-1,67612,-1,577205,662827,-1,-1,-1,-1,966694,-1,620176,627330,840070,533199,849010,-1,-1,-1,-1,378734,-1,-1,-1,747564,-1,566492,19335,883074,-1,255816,-1,-1,257597,-1,-1,574197,577668,-1,521250,744959,-1,-1,454761,426002,-1,-1,1890,-1,-1,113288,14268,756399,-1,539352,-1,-1,794007,665155,-1,-1,287848,-1,173046,151369,83264,894066,355605,-1,-1,126371,141256,-1,-1,-1,851725,-1,-1,66177,-1,606076,901444,77731,202608,-1,5416,-1,213933,-1,907274,409718,38608,757836,-1,-1,-1,-1,-1,522804,334245,-1,394654,185977,950713,492121,463827,-1,484932,540716,850488,-1,551956,30530,704842,118069,-1,543500,808044,-1,-1,433799,74304,-1,-1,573830,-1,11710,611017,208442,-1,554109,-1,611193,-1,-1,247397,984005,222570,212392,870267,66960,855103,-1,530224,-1,37940,619812,-1,-1,-1,-1,816885,-1,-1,-1,-1,-1,547460,-1,-1,-1,-1,387053,269121,-1,-1,-1,-1,768704,-1,-1,-1,-1,594824,-1,439369,320036,927820,764109,-1,289883,686856,-1,-1,-1,-1,257808,73072,-1,-1,-1,-1,121144,-1,-1,294578,151436,766842,-1,-1,799476,234848,-1,41193,-1,956504,460307,340668,163601,-1,-1,-1,-1,-1,214110,545575,-1,625859,755816,36253,-1,-1,-1,-1,201988,131662,53965,-1,513601,-1,213065,-1,401244,-1,428557,272956,-1,-1,452795,-1,384798,422741,294915,825195,875767,-1,-1,306498,513925,405144,-1,-1,-1,915496,-1,-1,219581,-1,608260,-1,53191,999403,925878,267296,798738,434252,-1,740425,-1,-1,35691,-1,-1,135154,921794,-1,-1,-1,938431,-1,669431,-1,-1,-1,-1,568042,172273,672806,572921,810600,-1,-1,326536,721443,-1,933867,-1,-1,129860,32368,-1,360951,378384,939423,290109,874829,-1,-1,-1,-1,-1,735370,14057,-1,501935,-1,815447,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,897498,644835,264452,-1,-1,277718,372945,70835,46428,45349,988189,231230,-1,516576,-1,847421,696545,-1,841429,-1,242420,-1,-1,815972,-1,-1,-1,-1,-1,-1,-1,-1,-1,685708,782241,-1,972591,-1,998877,644406,967924,214124,-1,68145,-1,-1,-1,9766,-1,323563,-1,115472,741139,666664,-1,518918,760525,527848,-1,-1,-1,300128,-1,891263,-1,437442,377092,-1,-1,-1,778047,770466,-1,-1,-1,-1,-1,-1,-1,129161,808509,-1,-1,110482,-1,-1,-1,-1,104380,-1,-1,116228,-1,784188,120434,938895,39414,540332,-1,-1,701517,386557,-1,-1,560368,286516,667679,326806,-1,60838,786623,-1,-1,-1,155091,-1,-1,415822,372877,-1,-1,-1,945237,81139,845610,-1,-1,-1,-1,928977,889581,-1,97198,648666,-1,-1,273966,-1,-1,-1,842814,39369,249379,-1,-1,657532,892155,178740,2525,144025,-1,-1,260979,-1,-1,197995,43084,518123,-1,969154,129566,13302,959384,-1,-1,854174,-1,-1,755552,260006,57693,-1,292346,42140,-1,-1,-1,-1,-1,297992,431659,901321,-1,-1,637491,21291,-1,-1,942915,-1,-1,-1,922906,534326,-1,316679,799553,-1,158872,352350,397192,396136,-1,684733,705860,190978,128036,261563,-1,727428,292153,897850,548192,568926,-1,-1,313838,381783,608344,-1,-1,849637,846243,22043,-1,149110,-1,691695,-1,431192,-1,-1,422855,567619,-1,-1,-1,-1,96167,966331,-1,879133,233070,881517,739896,620172,89060,-1,-1,-1,999458,955170,563924,-1,-1,810537,-1,-1,-1,617846,-1,-1,-1,545254,445841,-1,-1,354389,948890,-1,7935,911298,317779,-1,-1,-1,452566,775452,-1,896306,12181,458505,91316,177704,-1,-1,375576,473301,472698,489154,-1,-1,794921,-1,630340,645777,-1,-1,-1,413789,-1,939169,-1,-1,-1,376789,-1,-1,-1,347762,-1,-1,213888,402839,-1,864433,466766,823026,-1,624206,671324,-1,713871,357623,-1,-1,714173,-1,-1,-1,16297,633582,796588,166444,-1,-1,-1,-1,-1,-1,514117,-1,-1,-1,545470,805904,-1,822546,907134,-1,-1,971857,-1,-1,-1,-1,194560,-1,778731,-1,-1,412309,-1,772712,-1,671712,396872,552594,-1,270155,-1,-1,-1,323423,-1,905736,-1,-1,534329,624793,-1,-1,483877,311133,-1,989582,768372,-1,152369,247088,-1,273868,107581,31428,94811,-1,-1,952889,317634,815415,-1,-1,-1,778980,214833,-1,876379,-1,929321,-1,-1,-1,702773,-1,672020,144791,886130,-1,-1,214313,-1,234392,-1,666154,521586,-1,-1,-1,-1,352035,-1,875706,582282,-1,92401,233276,146779,-1,88981,965256,446517,-1,-1,87350,-1,-1,847138,-1,390156,737382,651915,508467,-1,-1,959498,699477,737283,-1,496213,-1,-1,-1,597590,-1,-1,-1,-1,514658,271492,280703,87734,913959,470743,-1,643938,-1,-1,-1,226097,555199,465301,-1,-1,-1,-1,-1,-1,-1,92275,235346,-1,-1,-1,823520,555060,992465,-1,-1,-1,-1,54298,-1,-1,-1,170114,-1,204743,498951,-1,387567,296442,-1,-1,-1,-1,548190,-1,259778,827223,371083,-1,-1,461138,-1,-1,275239,-1,-1,445992,18808,786626,-1,322450,27961,155996,246577,643739,971537,172318,-1,-1,743947,7542,-1,-1,-1,635850,-1,-1,-1,-1,-1,-1,27944,267988,-1,161796,43428,979217,748326,-1,284814,641906,280994,687822,549290,-1,764939,340393,58208,784108,-1,-1,583164,-1,-1,-1,-1,-1,753225,-1,243981,882617,77963,-1,-1,-1,541513,-1,990691,823383,810969,533997,-1,-1,-1,343549,217707,55057,821667,559471,-1,373510,-1,-1,-1,-1,-1,786178,518508,-1,601321,-1,561516,-1,72673,844023,-1,-1,644938,636495,-1,-1,855114,348921,542221,-1,-1,-1,663719,-1,-1,538674,208242,476414,631610,-1,697318,542472,-1,-1,797989,413483,-1,-1,8117,318840,-1,265885,888202,-1,-1,-1,-1,652163,961306,999624,205894,74977,-1,234832,-1,721330,-1,214112,-1,306373,-1,-1,960663,208429,-1,-1,-1,354291,-1,595897,-1,407744,468741,-1,-1,-1,186406,-1,655545,-1,510847,73326,727344,502838,206470,392655,-1,695269,810573,184389,686703,135886,10269,-1,558340,-1,514112,882289,716281,-1,-1,-1,981877,384512,-1,979076,171982,940360,-1,-1,-1,56537,257019,-1,-1,313435,995013,708223,-1,827530,-1,-1,865059,50466,-1,-1,-1,139535,422825,-1,-1,-1,665976,-1,-1,-1,-1,-1,-1,465861,166515,579316,-1,-1,-1,-1,11319,1983,919088,-1,-1,481794,272265,-1,112036,-1,-1,-1,964016,883818,-1,582339,165052,740586,481676,699027,-1,902509,158208,-1,161350,-1,-1,-1,-1,191343,469900,-1,-1,-1,882217,-1,-1,-1,69718,440007,478717,129516,-1,-1,-1,-1,136070,-1,344005,-1,309523,406179,397996,642840,818042,-1,-1,-1,-1,578101,763304,4369,-1,744337,-1,200843,-1,-1,-1,765703,-1,682846,-1,415896,407231,-1,792427,145953,376351,568854,-1,-1,-1,-1,-1,-1,-1,58951,974945,896675,178725,713075,-1,35595,828919,-1,460557,-1,-1,627880,459608,-1,914009,-1,-1,117136,-1,726325,-1,50128,-1,-1,-1,750250,-1,-1,-1,719415,915970,-1,-1,-1,552385,574348,-1,-1,687548,-1,-1,659490,747876,990984,-1,304532,745316,-1,813761,465630,809931,990722,433841,562879,-1,-1,191216,532205,948365,-1,-1,416626,276323,213971,450785,-1,-1,272841,656476,730811,-1,833882,300916,20571,-1,-1,862170,165697,322399,-1,873835,240038,-1,22358,623227,-1,-1,489873,-1,699648,991137,-1,-1,952095,349318,-1,736217,550427,845102,822949,-1,-1,388575,-1,-1,272584,567312,-1,-1,237547,407352,537153,-1,-1,-1,-1,186873,997455,234679,-1,693090,-1,-1,8937,-1,359428,917,-1,99217,844721,-1,-1,475605,-1,552064,-1,931159,41986,303103,33884,-1,724273,24614,350602,148522,827834,-1,201701,-1,829662,895822,807019,403241,-1,726548,20395,-1,155104,-1,-1,52496,-1,-1,-1,918766,-1,-1,-1,-1,-1,135715,-1,-1,308516,-1,384448,-1,-1,564661,-1,303644,-1,-1,903220,-1,497783,377548,-1,226366,-1,968579,744053,488400,-1,-1,864863,-1,-1,-1,-1,-1,-1,920936,789398,-1,169269,398760,20014,-1,-1,843345,-1,-1,192640,996867,610402,-1,-1,-1,995671,-1,473397,685955,-1,563708,-1,768189,602356,479705,182829,655162,74000,417099,270199,57323,-1,-1,658956,442108,-1,739630,409396,-1,390997,134676,142684,-1,150152,697654,57719,-1,-1,-1,298930,415242,979055,-1,715092,-1,-1,594010,40959,-1,-1,214990,753230,73183,-1,-1,54989,-1,967442,279519,-1,268769,451842,-1,376533,-1,698430,-1,411938,481047,-1,-1,921241,38196,-1,-1,546276,990829,581954,777182,-1,692152,-1,-1,-1,104132,-1,-1,-1,-1,976893,254347,-1,645349,-1,-1,678926,298432,220123,997345,-1,-1,-1,-1,-1,-1,-1,-1,888357,634263,616827,911885,-1,646051,-1,-1,-1,-1,-1,117123,370902,-1,-1,392450,-1,19672,593631,447791,-1,-1,887749,-1,-1,-1,-1,-1,576232,965029,728142,467562,-1,476420,-1,117995,422397,-1,-1,861912,-1,355614,-1,-1,546131,794089,139698,697837,-1,-1,58906,-1,877167,442680,-1,747445,-1,395039,-1,235653,335243,-1,286000,-1,-1,441180,-1,-1,-1,394463,190550,137819,-1,-1,228538,671135,801683,112767,691330,873815,328237,-1,55362,-1,-1,174293,-1,927807,-1,785986,513690,-1,891872,730461,-1,-1,657513,804804,985669,711665,880100,-1,367185,-1,-1,736961,-1,-1,-1,668109,-1,-1,836308,957729,907818,-1,-1,840388,259425,976796,-1,244025,312295,-1,-1,496429,-1,424390,-1,-1,613713,-1,-1,554671,120143,-1,183012,339464,-1,-1,614705,728667,503689,-1,-1,-1,-1,-1,-1,-1,821998,119460,73346,744878,-1,-1,433738,-1,450377,546553,-1,-1,-1,-1,685761,909638,-1,130368,-1,-1,-1,259316,399765,130977,541532,-1,283799,472097,71481,-1,430915,-1,-1,547493,446752,-1,-1,660034,402212,-1,-1,993280,27275,-1,-1,687639,839089,189684,884467,997288,-1,286073,820778,558962,-1,926027,666554,-1,-1,-1,-1,-1,890748,-1,-1,309801,-1,816834,59376,71372,764970,362676,680741,-1,636077,-1,888461,-1,635003,-1,801309,596009,-1,-1,-1,-1,530619,-1,475984,533286,-1,557133,748411,733541,56268,367742,779839,-1,-1,-1,-1,-1,791268,-1,629529,231942,217894,-1,-1,532922,-1,-1,-1,-1,-1,-1,725625,-1,-1,-1,-1,753191,-1,850113,-1,906042,-1,-1,259519,158611,-1,-1,413813,532868,210022,213157,-1,158935,-1,-1,726802,-1,-1,541077,611511,-1,395483,-1,124972,409195,108192,-1,433251,-1,-1,581006,383625,-1,-1,643898,872985,-1,841056,632455,-1,-1,542172,-1,118432,-1,67448,-1,82207,404660,71192,-1,-1,-1,-1,688637,-1,-1,-1,-1,706860,-1,-1,557964,774248,196508,790978,-1,109392,-1,-1,763982,218358,-1,327766,274664,806912,949596,-1,-1,893573,-1,-1,-1,892680,-1,312546,766647,170118,758361,615915,956794,-1,710131,-1,37782,-1,119696,770278,-1,995426,-1,480240,-1,280173,320570,-1,483949,242418,735222,-1,-1,-1,-1,-1,155546,735629,-1,-1,263460,770255,-1,-1,-1,-1,965287,892721,602211,-1,908596,424194,662347,-1,-1,763569,718710,649355,-1,619926,963594,319210,-1,466330,-1,-1,-1,-1,-1,-1,449937,503040,810578,-1,827290,253631,252658,583372,353720,907933,-1,911900,456172,192102,-1,877496,-1,-1,-1,242547,686583,885838,-1,955955,-1,-1,499364,535649,-1,489603,508160,537923,-1,388702,-1,335751,30600,577987,-1,397583,771020,-1,-1,748930,-1,509944,-1,-1,-1,-1,-1,-1,440247,-1,131433,-1,-1,-1,264318,-1,-1,313871,-1,-1,-1,504927,-1,-1,-1,926205,-1,501456,-1,-1,334309,33358,-1,-1,-1,-1,-1,-1,-1,1862,-1,-1,238777,504151,404947,947760,148091,-1,-1,962053,373464,613607,172970,-1,-1,964657,781615,-1,-1,-1,-1,-1,98769,79596,-1,-1,21138,-1,-1,-1,-1,-1,-1,-1,213514,944843,263192,-1,-1,128555,-1,-1,-1,-1,627915,-1,-1,-1,165424,-1,522163,-1,-1,-1,-1,-1,-1,390345,-1,-1,438519,224027,231207,409949,619048,78374,11314,717515,-1,-1,216602,747456,983154,-1,-1,769197,-1,-1,197730,169993,18562,-1,190372,-1,252368,-1,-1,-1,-1,-1,931874,828206,239150,-1,163504,-1,330619,389382,270523,739281,-1,-1,491486,572398,-1,-1,131604,946413,565499,-1,340773,-1,-1,572553,734251,-1,-1,8662,-1,137339,6489,302942,-1,-1,-1,600258,-1,-1,-1,128452,-1,723153,-1,-1,972251,-1,556399,-1,-1,-1,-1,-1,-1,-1,139915,-1,-1,843334,-1,-1,-1,-1,-1,-1,-1,547497,-1,715036,-1,-1,-1,-1,419993,653375,131082,-1,-1,648624,184777,786419,581987,-1,-1,-1,546138,420018,-1,586863,-1,-1,-1,882653,-1,-1,-1,61964,-1,542719,784926,-1,-1,852642,-1,34087,972728,-1,804646,-1,802000,-1,-1,455969,-1,-1,428306,-1,-1,678316,275064,345854,-1,998381,413295,-1,388368,662006,595534,180226,934948,-1,433292,481008,-1,593462,289591,-1,104276,316514,567534,54593,323733,796549,442399,338729,606034,-1,868596,13961,-1,560567,929100,-1,941321,256540,410214,-1,725105,-1,-1,-1,329884,768385,834358,418545,184820,-1,-1,-1,304531,745614,-1,160964,753624,-1,-1,-1,963005,435595,-1,460366,-1,425975,-1,249985,-1,987723,-1,223674,399505,-1,-1,791858,749675,-1,356231,-1,229566,-1,-1,678884,707840,563407,-1,620984,641148,-1,307600,768279,-1,900137,331696,-1,-1,915001,48850,-1,-1,754764,-1,832775,-1,426592,555206,-1,691493,-1,-1,-1,180225,-1,-1,743263,124922,192686,-1,431095,-1,-1,454515,754988,367940,-1,2789,749896,267332,950929,-1,239884,-1,-1,917535,990443,-1,628041,-1,451470,981973,719827,-1,-1,-1,304479,246760,-1,183787,872132,-1,-1,764980,230501,46532,362632,-1,369005,631176,538349,-1,-1,-1,703064,788528,-1,31097,690747,853792,62859,-1,-1,810702,-1,461033,-1,-1,255518,-1,-1,382736,661837,-1,-1,101439,143637,825754,-1,-1,-1,182579,564438,-1,821581,-1,251679,-1,-1,-1,-1,-1,665861,715653,-1,-1,493730,114914,-1,-1,384965,303149,-1,802457,-1,-1,-1,959176,703643,-1,-1,-1,-1,-1,724895,964198,-1,-1,42610,-1,586072,-1,-1,331854,-1,249168,-1,-1,356861,354544,987116,-1,-1,-1,848906,226513,-1,727261,418359,442472,-1,356946,474997,-1,390332,194354,819634,673439,631753,-1,-1,7869,644743,-1,-1,994532,-1,297415,-1,-1,-1,120094,-1,-1,351405,616801,222678,-1,785569,-1,-1,-1,257200,-1,-1,-1,-1,597388,833644,603587,842148,721131,452423,740738,-1,760716,130337,712400,252628,689944,501681,-1,-1,559379,-1,475253,-1,4328,-1,276967,-1,263679,-1,562358,-1,-1,121180,-1,-1,-1,642589,-1,773303,771286,-1,558872,-1,571546,-1,109216,623925,-1,-1,-1,-1,67043,-1,-1,-1,-1,178527,-1,-1,935866,-1,672022,917850,-1,423208,746690,201361,-1,-1,-1,272667,-1,-1,4577,-1,496407,332395,-1,649651,897390,861400,943282,571851,547437,404906,546062,-1,-1,748871,-1,396453,-1,13938,-1,-1,108366,-1,153134,-1,321370,-1,601397,982195,-1,388187,-1,400696,-1,532896,-1,334753,-1,798961,824902,-1,685046,-1,-1,915265,522880,-1,743502,-1,821328,-1,-1,-1,-1,760760,-1,15811,-1,339222,-1,-1,274842,859825,793378,4258,-1,-1,-1,449492,250944,948814,-1,574766,243511,-1,978634,579407,580887,357808,646567,406854,-1,704026,-1,865775,235504,805995,-1,-1,41608,-1,53907,-1,442052,-1,-1,625417,539522,22134,-1,749631,-1,-1,-1,154237,954377,198244,-1,599102,244465,239462,573917,-1,989790,249942,-1,-1,632436,-1,-1,-1,855961,-1,-1,-1,-1,699009,885632,-1,-1,-1,-1,754072,-1,440530,444640,-1,-1,276304,-1,-1,-1,256615,409254,-1,-1,-1,-1,-1,292536,-1,-1,-1,-1,-1,787063,362301,-1,-1,224546,-1,-1,368927,-1,-1,-1,838336,954631,649605,-1,201305,-1,-1,266305,735090,336585,-1,623289,-1,2346,-1,-1,-1,502649,966214,425131,-1,-1,986217,-1,-1,215123,262624,94448,275227,867717,917813,-1,54483,45930,-1,530967,-1,-1,921521,-1,607597,-1,-1,296488,-1,325558,301685,-1,-1,525654,-1,988113,-1,835101,-1,-1,424438,259958,73609,338274,-1,-1,-1,723230,107117,385117,796383,690001,-1,942038,372682,-1,35211,-1,-1,326767,491428,98557,400693,-1,445227,235421,465948,738043,38207,506977,950070,-1,-1,212847,737195,64970,-1,888260,411467,799944,805658,932067,754108,93867,730624,-1,-1,347481,334369,-1,-1,-1,-1,527591,869760,828231,-1,794387,-1,-1,-1,772167,-1,43847,831329,-1,-1,702542,433448,498652,-1,-1,-1,921854,-1,-1,-1,470530,-1,-1,-1,277083,762404,-1,941067,-1,973092,-1,-1,765407,596017,-1,877359,719303,842664,17990,-1,698505,-1,603692,418682,-1,763497,399710,-1,569595,889355,-1,970173,332919,260486,174000,-1,-1,316793,351456,-1,-1,79959,-1,860369,-1,52689,418569,-1,778639,795360,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,146659,-1,20811,719396,574390,-1,470091,-1,698461,-1,-1,-1,649541,-1,77344,-1,596634,-1,766809,-1,199129,349109,-1,-1,943035,-1,902667,-1,978745,-1,-1,-1,743703,968303,-1,346053,892686,114865,-1,695291,238856,-1,-1,459656,-1,-1,-1,176377,-1,118239,556813,-1,819826,555375,948793,387453,-1,-1,-1,-1,189238,799535,-1,-1,-1,-1,-1,-1,-1,322494,-1,813971,-1,119215,-1,181334,555522,-1,135952,280075,424309,570950,-1,-1,-1,809071,177043,582038,721689,762453,-1,153451,315543,-1,-1,-1,-1,104359,587234,896974,326518,-1,-1,681386,211798,-1,754007,-1,-1,366290,671360,-1,394985,821519,327128,915892,647897,-1,328832,594102,-1,-1,-1,790531,775677,562270,504844,-1,-1,471081,-1,834611,948891,-1,-1,-1,-1,234519,-1,-1,-1,990525,181287,-1,-1,-1,-1,-1,617601,615406,101659,-1,422315,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,761248,-1,969891,711342,-1,-1,622702,498848,-1,533933,-1,-1,-1,-1,821275,862555,192773,666584,395995,-1,884752,584006,874566,356691,-1,328209,-1,-1,699816,-1,431592,-1,762318,794237,630608,-1,31222,262887,486577,-1,-1,-1,626267,-1,-1,-1,906211,954114,-1,-1,626702,798646,-1,808672,-1,598849,-1,577790,322881,272009,-1,-1,-1,758253,-1,-1,-1,149546,-1,340832,391660,302670,684496,103713,-1,-1,-1,133888,-1,-1,302186,-1,-1,859906,530470,-1,841701,-1,691716,637717,-1,-1,-1,-1,332116,-1,-1,344768,208317,415762,-1,86420,-1,-1,924570,839330,317713,550393,752651,55438,-1,-1,3982,935052,-1,379477,544108,305594,134680,608441,386138,-1,-1,-1,-1,84372,627553,424389,-1,456078,824552,-1,-1,129877,-1,99117,990340,-1,889671,-1,904157,220953,631000,-1,-1,-1,-1,35704,-1,-1,-1,-1,312723,593937,-1,615139,608569,-1,448779,745379,146396,638314,-1,694214,727188,40306,-1,-1,797728,-1,-1,639441,219152,-1,-1,-1,527502,-1,-1,705928,-1,400887,610714,552869,-1,886658,913943,858125,-1,864017,-1,-1,-1,57006,643788,-1,-1,-1,541252,787104,-1,594099,557927,3723,764260,643816,-1,962923,150309,-1,-1,28394,208928,12111,205796,58254,258182,461289,659105,359123,12099,470566,-1,244303,624313,-1,-1,-1,-1,581565,-1,-1,132664,-1,-1,922639,-1,-1,-1,142375,-1,-1,-1,769130,333815,-1,-1,228571,202801,-1,896184,-1,514329,655016,-1,714207,-1,5664,74159,-1,924688,-1,635449,-1,-1,986394,-1,136829,-1,476421,-1,367751,705456,674228,-1,-1,925689,-1,628401,788729,-1,-1,187719,-1,30443,641307,-1,-1,-1,583354,-1,440630,-1,946969,-1,408874,-1,-1,433810,-1,-1,208549,-1,-1,-1,659452,-1,951612,836937,-1,-1,-1,-1,-1,518028,-1,-1,158167,-1,-1,813221,-1,637496,-1,-1,-1,-1,-1,-1,141217,892518,973554,956044,-1,67084,505269,746769,-1,903557,-1,31817,-1,724443,-1,971966,-1,-1,-1,92913,-1,-1,-1,548867,-1,-1,-1,129659,-1,404832,42257,-1,-1,60932,-1,315869,300040,-1,869038,150085,836406,827063,-1,-1,-1,553589,748395,947719,-1,-1,911276,284107,-1,859902,-1,-1,626332,208591,-1,-1,-1,-1,612564,-1,-1,48247,-1,-1,216192,-1,410066,742849,941692,-1,-1,-1,373928,-1,38523,553940,-1,-1,464626,-1,-1,-1,754408,-1,-1,663803,122975,749678,600773,886806,769150,-1,-1,-1,651062,-1,-1,-1,765338,70125,581298,-1,-1,-1,967656,-1,489114,-1,-1,-1,420041,-1,54117,866374,763261,-1,651918,632637,-1,-1,718732,246048,394150,-1,311543,-1,-1,784828,-1,354742,158035,829653,-1,552307,673475,540216,-1,722829,32963,-1,61470,317483,-1,934325,936435,972005,-1,-1,-1,210269,-1,-1,380290,-1,788340,606678,-1,896957,-1,502336,986786,354793,105965,-1,419849,205984,131668,-1,-1,-1,-1,774172,-1,-1,961301,570089,-1,-1,725261,-1,722002,981990,-1,-1,799365,-1,-1,61231,435772,-1,-1,722123,392651,-1,-1,-1,-1,327274,158526,458792,284181,716593,327148,-1,350248,313619,267642,-1,-1,668567,544684,841103,-1,-1,988867,-1,782334,-1,805096,-1,-1,381150,-1,-1,-1,-1,-1,976923,-1,89312,-1,721694,824846,-1,276317,-1,-1,-1,225025,88945,194666,793967,-1,-1,-1,-1,968727,896651,342936,-1,-1,455742,-1,976818,299187,-1,785059,401163,790503,343728,-1,175535,-1,159232,848629,-1,917776,948517,-1,479759,-1,-1,127660,851528,-1,-1,189831,909424,545157,316394,-1,962048,186994,-1,809873,190938,-1,-1,370122,698721,-1,803699,-1,-1,644150,792201,-1,-1,-1,-1,-1,-1,-1,693651,-1,-1,596496,158152,-1,374079,-1,-1,-1,692269,-1,555071,492794,861069,-1,888492,-1,104357,960309,952801,819131,268002,978275,-1,783243,-1,-1,-1,492841,293666,-1,24062,876194,414747,494729,-1,190548,-1,-1,663742,454843,-1,846737,-1,43734,447652,-1,-1,-1,-1,-1,-1,-1,-1,861825,927857,-1,-1,832797,595664,844871,820628,521200,759820,-1,834657,135874,836215,-1,505600,257029,46879,701094,-1,-1,-1,540888,397128,-1,661704,-1,108982,869589,-1,-1,-1,410436,-1,-1,879269,416785,422739,-1,374136,-1,-1,747829,537601,-1,-1,-1,984728,-1,-1,849045,598107,135484,-1,572037,-1,622497,-1,-1,35307,975760,795604,-1,-1,-1,127041,-1,-1,109623,-1,-1,595081,-1,94995,-1,945554,723828,-1,954785,975324,-1,-1,-1,428605,997527,926208,-1,413758,-1,987134,-1,-1,-1,-1,725941,-1,-1,986849,588422,778344,230927,860113,385016,371245,-1,-1,-1,782866,-1,198246,-1,971910,35469,313905,671957,-1,658050,117477,-1,833531,966143,-1,-1,-1,-1,945027,176615,-1,336231,158781,67163,-1,910106,646508,-1,436772,-1,-1,-1,-1,-1,753785,-1,-1,-1,-1,313580,-1,-1,312002,412245,265518,519534,676100,616021,-1,523249,-1,-1,413036,905362,-1,-1,953654,-1,485108,670823,662386,-1,-1,414690,-1,745453,85511,-1,-1,-1,59471,732855,149476,762149,301581,507229,643453,-1,713650,-1,978656,-1,-1,420880,295375,982260,320923,304749,406372,-1,116591,128063,550683,-1,334956,779365,324057,193683,-1,-1,-1,-1,-1,358586,457689,-1,-1,-1,-1,-1,-1,-1,472720,860065,-1,870333,-1,718569,-1,564960,-1,-1,-1,405103,751258,428782,-1,-1,402568,-1,-1,352472,161868,175826,-1,394647,354486,595571,114170,851179,851859,363963,-1,-1,288407,-1,357819,-1,-1,-1,-1,33494,805832,428398,-1,-1,237548,-1,-1,431329,936021,831462,790977,-1,-1,220744,985841,226569,-1,520997,-1,50643,911459,571769,-1,457541,-1,288519,-1,221528,413964,-1,-1,546258,-1,572258,-1,-1,-1,-1,670114,-1,148962,-1,952024,-1,-1,-1,213397,563815,-1,36034,-1,983380,967780,726994,321421,-1,14873,-1,-1,-1,-1,-1,-1,136607,-1,-1,-1,-1,600813,-1,650348,581428,86459,-1,-1,53301,755165,-1,-1,126411,-1,164636,57817,-1,-1,-1,251889,201768,879409,-1,-1,-1,-1,750699,435110,-1,60124,-1,-1,530940,-1,-1,526183,445638,-1,-1,8240,-1,210555,-1,-1,-1,732135,-1,-1,927064,218779,-1,-1,-1,-1,-1,-1,885625,-1,-1,254208,334297,-1,-1,-1,195095,82692,-1,-1,-1,-1,684757,768308,847045,-1,-1,72068,-1,-1,79612,-1,-1,816805,-1,-1,-1,741562,-1,458943,802356,-1,862787,-1,-1,951088,576174,62152,788736,-1,272508,-1,767056,67323,-1,-1,690867,-1,-1,-1,249245,-1,116441,905649,-1,804864,938316,644419,930335,-1,80925,-1,-1,718136,-1,252521,-1,-1,-1,-1,347604,793244,-1,636070,584130,-1,518393,628162,-1,793827,566494,-1,-1,-1,-1,995131,260097,752752,-1,739269,185308,-1,-1,-1,-1,-1,607985,917542,353265,803348,-1,174265,-1,-1,989990,494905,502180,468024,-1,-1,-1,-1,-1,234419,268391,-1,-1,-1,-1,419186,-1,-1,-1,828939,-1,-1,-1,742326,142566,-1,-1,363234,774020,372978,-1,757754,-1,973923,-1,-1,48478,949183,191309,347456,-1,-1,-1,-1,-1,-1,-1,724997,-1,899286,558066,-1,358796,-1,713693,739880,-1,-1,941707,333684,-1,516397,950423,-1,792826,-1,-1,898435,-1,268290,-1,-1,-1,594574,519242,-1,499742,-1,-1,486128,-1,-1,135176,-1,885035,234522,-1,322142,-1,753705,452685,978357,728435,353901,366925,-1,844651,975134,-1,163355,748374,-1,-1,429202,-1,-1,-1,767178,-1,-1,-1,579534,217851,-1,747151,-1,-1,659078,928484,292785,-1,293170,-1,-1,-1,-1,743271,-1,-1,144122,5404,853218,22867,-1,354448,-1,277498,-1,58195,-1,-1,-1,408470,-1,-1,-1,309597,-1,160099,301056,-1,-1,-1,-1,760707,-1,428076,208615,199160,668625,-1,530154,-1,-1,368856,985499,183975,-1,771162,677134,205341,-1,757115,-1,-1,312219,-1,914010,-1,100074,-1,-1,786615,560059,-1,-1,883007,582378,-1,474379,410597,-1,-1,-1,978432,-1,-1,165657,-1,358461,-1,853005,-1,828127,-1,-1,-1,-1,225616,892690,-1,180275,511873,-1,379175,-1,-1,-1,417116,-1,-1,-1,-1,-1,914569,-1,178067,741323,-1,-1,-1,-1,75796,-1,-1,397670,-1,646040,452250,160492,415298,552493,-1,-1,-1,977499,394750,483590,-1,-1,258998,412163,-1,-1,245515,339153,794028,-1,702945,-1,438368,-1,-1,-1,356060,-1,328557,254310,-1,-1,-1,-1,-1,-1,-1,-1,826738,-1,519552,-1,-1,70137,-1,-1,-1,-1,577660,139083,150202,-1,561020,-1,278508,-1,494974,-1,838173,295411,-1,880698,464041,-1,-1,926810,-1,393909,-1,-1,-1,-1,-1,369981,751092,-1,639197,-1,-1,81571,-1,706552,211388,-1,187151,250919,-1,-1,803155,-1,-1,650746,457816,965331,-1,-1,739813,81830,378267,821107,-1,36805,-1,799662,-1,-1,155641,-1,802990,-1,-1,502378,763063,-1,649457,333444,-1,-1,184073,535052,794309,947861,178779,990794,164233,-1,-1,844363,-1,265356,404799,-1,-1,-1,-1,636361,507203,185027,745947,-1,188461,-1,-1,-1,-1,250766,853875,425249,-1,595831,-1,382879,-1,544236,456650,-1,252596,-1,951275,-1,193490,-1,-1,-1,943372,-1,-1,204016,-1,-1,814882,563150,-1,943476,-1,333970,-1,-1,796143,-1,-1,-1,-1,768800,-1,-1,-1,788989,899380,-1,-1,649220,885182,847689,786437,-1,299480,844816,-1,430898,-1,-1,262455,-1,722782,-1,-1,605227,-1,554367,893988,-1,370324,628352,-1,870946,464398,807565,-1,765855,-1,-1,-1,-1,584418,-1,550367,843240,-1,318216,-1,-1,134012,742001,-1,807573,133780,459792,306844,16255,-1,-1,126617,-1,682404,-1,792192,-1,-1,108464,717946,830299,256382,-1,-1,-1,-1,881953,673791,-1,-1,-1,145544,189015,-1,416165,-1,-1,-1,-1,-1,-1,-1,229674,8983,-1,373221,926725,719315,-1,931516,901445,-1,166194,387727,-1,98546,-1,-1,-1,-1,-1,-1,-1,-1,-1,323042,-1,-1,921164,205492,-1,-1,-1,-1,849244,184939,-1,332806,-1,-1,-1,183352,-1,694026,519173,651851,492711,-1,593865,486266,-1,-1,521336,-1,-1,959598,-1,-1,737150,-1,376251,-1,-1,-1,995769,529238,-1,-1,-1,522384,257212,-1,-1,344151,382412,883608,-1,768090,996420,500899,576747,-1,-1,230838,-1,925574,-1,-1,-1,-1,-1,-1,447077,-1,659056,536861,-1,-1,-1,14966,896706,981074,-1,53737,-1,-1,-1,924220,-1,-1,-1,-1,-1,-1,888190,-1,-1,962051,-1,8613,-1,-1,-1,854237,64924,-1,373941,547080,399626,41322,-1,607043,-1,-1,-1,176627,-1,359364,-1,-1,-1,145762,858466,-1,413911,807493,-1,-1,-1,-1,845657,621307,542224,-1,94296,-1,-1,-1,-1,366715,332081,824680,704650,-1,490282,625067,-1,505308,-1,-1,318875,-1,231539,551019,-1,840347,687238,-1,359985,-1,613326,-1,-1,-1,-1,-1,332621,-1,-1,382836,-1,646969,903566,-1,-1,799120,139779,755430,-1,-1,567507,570413,832218,133481,8427,532310,14392,-1,-1,-1,312157,-1,133486,-1,-1,671932,-1,320733,882607,-1,-1,-1,410094,610904,-1,689427,-1,-1,322961,-1,706076,648965,-1,925482,808927,510069,-1,772727,-1,295336,-1,-1,-1,-1,80072,-1,386489,740025,-1,664480,967075,392755,-1,-1,-1,758413,623341,-1,271745,-1,-1,412991,158593,934621,-1,-1,455266,507635,-1,144935,-1,-1,939204,-1,967790,143192,510147,928151,712284,167092,532177,-1,-1,-1,-1,-1,383787,-1,720684,-1,968495,-1,-1,922630,-1,-1,277255,-1,51705,64288,-1,456088,491800,-1,777738,729611,768652,324259,165231,409931,48950,-1,478961,-1,-1,948674,730138,155768,-1,-1,-1,-1,74732,-1,-1,588310,-1,-1,880709,247287,-1,-1,-1,-1,-1,-1,344594,35200,-1,-1,716934,860189,555932,-1,695284,-1,-1,-1,782475,921115,588498,-1,242151,-1,-1,-1,828144,-1,-1,895328,806561,-1,-1,-1,-1,188932,-1,-1,-1,-1,617977,-1,389314,262793,74106,-1,-1,-1,465922,605778,-1,946260,-1,-1,-1,-1,-1,14262,-1,-1,685467,595132,-1,216815,-1,793283,239580,328302,-1,-1,244706,-1,-1,154107,-1,-1,-1,-1,134645,875945,897989,-1,358403,477276,-1,-1,-1,501291,411743,299810,-1,-1,866089,323586,32482,104290,-1,360912,698470,586519,-1,252668,-1,338464,799934,-1,-1,-1,631011,147108,-1,154256,-1,-1,472251,-1,-1,-1,885458,-1,595605,374794,-1,-1,-1,822545,-1,-1,-1,-1,533992,686208,-1,406469,-1,-1,263716,-1,812475,681869,776176,397404,642771,-1,353568,-1,912395,-1,809965,-1,-1,-1,825992,685886,-1,-1,429451,-1,671954,-1,-1,-1,-1,313770,200914,528071,-1,-1,745084,511061,-1,723636,404086,97405,-1,200188,569636,-1,-1,-1,-1,222341,588309,252401,388824,-1,919328,-1,-1,509812,-1,-1,-1,203847,-1,829825,558723,-1,-1,796664,573029,-1,-1,-1,636296,647366,-1,-1,-1,-1,491900,365549,-1,-1,-1,-1,365587,-1,-1,297208,63802,-1,-1,-1,336386,-1,749424,580023,302990,-1,407377,-1,147061,815391,197220,733685,-1,23855,-1,-1,-1,320242,-1,835077,-1,62715,258838,-1,-1,-1,291979,687980,199555,854807,793810,210317,-1,196645,455369,-1,136412,459913,816737,199640,312372,-1,-1,-1,-1,757759,-1,-1,-1,-1,-1,724484,334211,2156,-1,918006,778144,-1,668053,-1,311383,-1,851203,-1,-1,-1,-1,932954,856939,776931,234572,712938,786416,675969,429761,-1,454239,-1,999280,-1,299206,-1,959474,204847,-1,-1,-1,-1,461996,85318,198421,386431,613035,449122,-1,-1,466977,882944,626527,154729,403093,645486,184362,-1,-1,964055,-1,-1,-1,-1,-1,-1,123822,-1,-1,787142,935165,-1,513770,648245,146003,846258,955865,-1,-1,-1,967802,879656,-1,906003,-1,267781,909109,-1,-1,-1,635021,-1,674235,-1,-1,-1,826699,286809,-1,326135,31656,-1,-1,-1,612317,928794,155045,-1,121810,636109,303435,597452,-1,-1,948590,-1,296911,-1,85204,654403,100479,-1,270047,858654,324619,729331,387756,-1,-1,-1,881606,294195,851409,-1,-1,976422,-1,-1,-1,736839,-1,-1,972506,809436,522669,-1,286484,-1,420906,-1,495965,-1,421243,106571,772479,-1,794083,-1,642586,-1,-1,-1,945537,402101,-1,-1,-1,-1,528005,-1,-1,889207,-1,-1,-1,-1,420600,-1,612517,807351,-1,-1,87702,-1,854011,-1,-1,322541,-1,-1,-1,196077,-1,448125,36212,463854,-1,-1,171201,603458,-1,-1,-1,-1,-1,721685,413479,727882,996639,770836,832357,495612,280692,865221,29842,453447,188127,208085,385501,748292,-1,-1,849516,558608,473171,843216,229270,-1,-1,-1,256833,320565,389936,-1,933864,-1,-1,97571,555462,172179,767152,359925,-1,909280,302920,608874,271840,-1,224300,-1,-1,-1,-1,-1,881810,599293,-1,62773,-1,-1,877574,-1,-1,-1,-1,728322,795127,-1,-1,255641,315664,-1,-1,494104,-1,768761,311425,-1,235135,-1,952800,330866,30899,938327,1968,9042,131164,916962,-1,892661,-1,-1,8870,806231,389396,100311,805101,299540,-1,507707,481903,480834,-1,-1,492020,-1,313920,795968,126684,-1,-1,235540,-1,-1,-1,148960,501910,169409,-1,-1,-1,930932,-1,331311,862567,294334,110444,281703,-1,-1,-1,-1,-1,384768,360399,-1,330828,410916,-1,-1,763256,339467,-1,-1,841502,-1,609261,124555,-1,-1,-1,-1,576718,884599,722269,-1,859331,434571,569472,890222,771645,194754,382963,37094,-1,648705,307200,60129,-1,-1,339432,-1,-1,-1,-1,-1,-1,-1,37981,87764,-1,790736,-1,828470,525715,141432,975329,-1,181357,-1,-1,-1,-1,993662,140652,-1,469385,-1,-1,835670,529168,429720,-1,-1,696708,-1,-1,189765,203012,-1,544161,-1,-1,213748,-1,525818,-1,167916,-1,541069,293540,60960,-1,73685,789038,845976,969472,655365,945386,-1,-1,859796,-1,296283,-1,840042,253293,252214,-1,457013,110399,-1,530526,550990,-1,-1,456194,-1,-1,-1,453324,230305,836830,-1,496312,85819,-1,831064,-1,119698,-1,560926,-1,-1,-1,807204,303399,791086,-1,-1,-1,633003,-1,-1,-1,699347,-1,-1,391828,-1,832234,-1,474850,-1,-1,-1,-1,275815,226786,487720,-1,56071,-1,379493,761520,-1,868334,910063,-1,-1,406611,929217,960141,42769,-1,965257,-1,-1,829030,495176,-1,326680,-1,501981,555732,-1,151524,908060,909490,8967,-1,672375,560182,-1,769349,-1,-1,372792,-1,369455,-1,13843,-1,-1,918993,150047,287341,272577,88161,119549,-1,-1,527073,442557,441112,-1,370740,-1,-1,176288,-1,265685,-1,-1,874029,-1,-1,811697,35873,-1,715272,435525,801016,334748,-1,316190,110561,-1,-1,690067,-1,293591,-1,-1,898427,421028,-1,-1,815355,-1,-1,599871,-1,-1,306914,-1,10097,-1,775734,-1,356600,819595,-1,4121,189308,-1,613557,-1,920899,225928,908705,-1,-1,-1,736392,-1,930238,-1,538003,742544,26437,-1,803228,26289,933868,-1,-1,-1,-1,678990,573542,-1,-1,-1,-1,-1,645254,-1,-1,-1,866067,612885,-1,-1,-1,216318,-1,446878,-1,96697,748176,141929,-1,845337,-1,233536,-1,-1,297930,152482,619276,-1,960168,-1,379512,371016,-1,-1,144639,576306,310086,321013,-1,-1,613322,558344,-1,694184,843706,-1,6586,996202,634962,519280,518714,-1,199551,513425,247696,-1,-1,-1,79950,-1,-1,826432,-1,-1,498664,397829,682310,591302,-1,714801,-1,-1,-1,-1,296696,-1,-1,-1,-1,353483,546149,348786,-1,-1,319448,-1,-1,-1,-1,288341,-1,-1,-1,127330,913728,334595,-1,-1,-1,-1,308207,449520,-1,-1,358809,77401,790155,-1,555715,319529,-1,-1,-1,-1,-1,167408,740808,-1,407789,203735,-1,-1,562111,-1,771249,522891,-1,166442,456387,368348,122855,111282,108142,458450,782488,178726,-1,11506,859104,-1,266740,-1,-1,-1,-1,326926,966928,750620,480736,-1,-1,900191,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,304437,-1,-1,-1,-1,-1,702692,642466,515361,950748,894341,612090,410299,724928,-1,82274,-1,234511,846060,-1,-1,-1,-1,146787,-1,-1,167032,-1,790825,-1,-1,-1,-1,-1,4962,-1,-1,890582,950979,508664,255976,588279,423781,-1,-1,935013,-1,392496,592845,-1,172900,-1,-1,509115,-1,501931,-1,683507,898731,39571,-1,-1,127402,-1,748481,812589,976917,-1,818636,-1,-1,156881,-1,-1,-1,-1,541526,899647,599548,-1,-1,735867,553948,191331,-1,-1,-1,-1,750945,557553,-1,222869,973462,-1,773118,-1,-1,137104,-1,-1,848977,-1,414195,-1,43164,716653,-1,-1,842515,-1,-1,-1,690546,186583,908743,-1,-1,524249,969646,-1,-1,-1,91526,-1,6141,175227,-1,-1,149065,-1,-1,-1,-1,-1,-1,-1,875184,-1,-1,868010,786282,-1,158245,-1,929534,801984,167617,354159,-1,-1,-1,-1,592902,917491,598040,-1,-1,571646,603589,-1,159267,62332,945166,355673,270666,-1,957753,22658,547604,-1,-1,-1,672567,832883,-1,441290,154377,561399,797918,-1,332263,-1,-1,809678,-1,783107,-1,-1,827937,-1,-1,-1,-1,939499,694433,877624,953497,-1,-1,-1,545507,122968,-1,627204,-1,-1,259220,-1,-1,767660,540673,122650,279053,939758,-1,-1,33955,-1,-1,-1,691776,739728,440203,-1,219853,746662,-1,-1,-1,-1,-1,989427,227269,342383,898407,-1,-1,-1,-1,-1,649454,-1,-1,-1,172999,643273,577086,-1,569224,274587,151218,139296,947975,602799,379755,-1,278629,-1,-1,-1,-1,328442,-1,701098,7157,678973,-1,-1,-1,-1,-1,68646,-1,133134,554816,299104,448721,708085,-1,983852,167320,-1,219795,-1,-1,169781,214431,-1,172074,-1,237596,-1,-1,536747,107,915235,-1,571223,-1,338257,125854,-1,-1,-1,178681,-1,-1,369231,-1,-1,4082,-1,410312,143494,-1,700917,-1,463344,-1,98578,-1,-1,-1,281118,-1,498365,554244,540965,547334,80001,-1,948281,858130,366365,336006,483038,-1,768260,-1,384862,-1,124384,774281,-1,881909,486912,430045,770621,-1,122243,618026,-1,-1,103423,29985,-1,409253,374678,-1,829143,-1,-1,-1,848152,829814,-1,-1,527349,-1,541157,603775,378699,-1,-1,9060,-1,878768,437128,609959,929923,-1,-1,984278,954280,585274,496347,-1,-1,-1,76691,346803,-1,-1,-1,-1,-1,-1,-1,-1,169727,755756,676415,823097,-1,-1,716482,257064,-1,-1,-1,-1,-1,774358,731510,987549,55203,-1,809311,-1,-1,-1,348006,324342,109936,-1,-1,989733,-1,-1,814947,-1,-1,827364,307664,267981,975702,-1,757998,320079,-1,-1,837405,-1,653021,206548,660872,-1,-1,430909,741009,-1,-1,995454,-1,539306,906781,-1,-1,-1,-1,-1,51609,781698,-1,-1,218723,-1,381133,-1,812398,606340,912,418838,90460,-1,-1,-1,-1,190329,-1,596574,581371,-1,-1,855106,536542,-1,-1,458030,-1,921074,-1,-1,40742,-1,-1,569556,597041,-1,785880,14559,-1,77233,719849,453024,-1,69,-1,-1,-1,336748,347680,372394,865767,-1,-1,172778,390038,-1,641698,287227,908231,-1,-1,-1,456147,-1,981700,-1,-1,356554,710355,-1,96232,-1,-1,868287,150091,888462,807480,-1,-1,-1,534801,467269,-1,-1,-1,226010,703279,-1,245258,-1,-1,-1,-1,-1,-1,-1,90106,-1,659517,-1,-1,557873,600404,-1,-1,-1,952099,470740,486810,-1,-1,-1,483975,660800,-1,241654,-1,911176,-1,174112,736652,-1,-1,257418,130673,-1,383681,-1,-1,411174,-1,443137,-1,-1,912836,752052,773120,408061,-1,-1,342386,-1,-1,-1,9759,698342,-1,413899,801704,960320,-1,-1,459014,-1,-1,81472,-1,446239,978455,562417,857783,897219,-1,509331,-1,956379,764349,928830,-1,-1,-1,-1,482622,-1,790262,403430,-1,-1,369723,-1,-1,620929,-1,194432,-1,-1,-1,-1,93937,-1,9197,52038,180160,-1,720039,517187,-1,466886,846762,-1,322559,398415,187081,575179,-1,567905,184433,742490,569348,-1,77548,-1,-1,-1,-1,-1,-1,-1,-1,-1,67673,13533,-1,603917,712165,448526,241988,-1,532250,-1,-1,-1,-1,-1,-1,228659,-1,536779,993026,597937,435413,882981,332315,547877,-1,838796,-1,950495,304134,793241,-1,881793,79587,-1,-1,-1,-1,440671,-1,-1,597172,515477,-1,-1,-1,924562,-1,-1,572698,720380,268137,-1,-1,230563,407467,-1,-1,-1,-1,657881,674237,977067,750447,-1,920090,807297,-1,663276,-1,-1,35342,896889,631217,-1,-1,640255,868711,-1,-1,-1,578942,585532,53426,-1,899408,92278,-1,-1,208088,-1,-1,967061,585794,114362,-1,-1,33055,918527,174837,255355,178310,-1,-1,-1,192167,914982,-1,829080,931662,-1,-1,215315,452943,382812,-1,-1,-1,-1,386858,265939,327443,841492,-1,-1,634939,-1,-1,44277,775770,-1,-1,964199,-1,-1,-1,289204,768608,-1,-1,-1,-1,764751,142316,567787,129419,-1,-1,829130,650528,-1,-1,-1,-1,-1,-1,-1,621237,-1,442225,908781,-1,302729,85263,-1,423734,944698,-1,-1,-1,-1,151959,697985,-1,86468,-1,-1,-1,-1,-1,596533,-1,480098,-1,997570,-1,542424,-1,21863,-1,728402,940478,-1,-1,272266,363259,760766,55410,740197,-1,241483,262417,518284,623302,630906,-1,-1,-1,963147,761337,935655,796134,-1,289546,902823,550554,-1,196067,-1,-1,-1,-1,579687,522140,438636,-1,-1,390401,122660,46471,-1,-1,-1,-1,-1,-1,-1,574187,502402,648248,702819,-1,19147,814868,345519,500292,364174,-1,-1,927299,592629,358211,117554,741062,-1,-1,-1,-1,-1,-1,185181,-1,-1,-1,135475,168671,859987,-1,748790,502106,555569,695771,-1,-1,-1,880871,-1,-1,-1,708178,625829,401914,-1,998215,185806,-1,562580,627368,-1,417395,557751,342810,-1,634391,220498,-1,-1,-1,969758,678834,-1,-1,-1,-1,-1,-1,-1,-1,-1,273372,966026,-1,481556,-1,622720,721262,-1,905556,-1,-1,494211,280209,-1,186781,63212,-1,-1,329754,-1,-1,-1,-1,-1,-1,-1,628678,304057,671769,192918,53971,722835,-1,154528,-1,-1,-1,-1,-1,-1,812701,-1,593166,-1,673031,-1,-1,-1,-1,-1,-1,39812,2247,-1,-1,-1,-1,-1,-1,534925,-1,-1,287228,688300,527686,-1,-1,-1,717827,978295,-1,731980,-1,108511,986442,602126,33215,547667,483777,911037,-1,398256,-1,-1,921955,-1,474918,-1,-1,-1,-1,729483,-1,306104,-1,-1,-1,-1,-1,-1,898190,-1,-1,-1,813883,385449,-1,762110,-1,-1,755950,-1,411233,-1,-1,631781,-1,22462,962983,111298,812333,703968,391868,-1,994176,157665,-1,-1,-1,-1,39503,-1,-1,797826,118321,-1,-1,-1,423604,822345,-1,-1,899119,239200,852092,-1,496349,-1,611037,104224,993890,-1,-1,-1,-1,-1,-1,-1,-1,507850,929682,420994,-1,-1,-1,596637,77590,-1,102251,815015,-1,-1,49144,-1,-1,161949,767997,203423,809592,665655,-1,900031,-1,-1,575191,-1,-1,183639,528461,307728,66612,-1,726355,-1,-1,559515,-1,487950,-1,871815,850041,201140,859090,789046,-1,-1,337178,931438,-1,694549,531629,51517,-1,-1,-1,-1,-1,-1,-1,-1,-1,136429,-1,-1,952747,213029,-1,-1,-1,-1,-1,728698,140354,-1,247678,-1,146544,-1,987535,775334,-1,-1,784298,745472,-1,85571,-1,-1,-1,-1,-1,3394,954295,-1,445002,-1,961420,181933,440344,104499,-1,659624,-1,569094,-1,895943,916670,-1,618098,-1,188940,811544,261171,118251,783180,-1,806705,417373,-1,-1,-1,634774,309104,-1,983846,-1,658846,-1,-1,-1,607235,101262,625520,199688,-1,939527,-1,7627,442977,-1,653562,-1,-1,7498,818686,998988,7558,-1,-1,591702,-1,432833,-1,579881,-1,805345,491440,-1,129391,-1,-1,-1,-1,848510,411979,908725,-1,356193,-1,-1,877691,-1,62066,562959,-1,-1,854876,812790,556213,-1,876104,162808,-1,194738,974538,460072,-1,-1,478711,763385,-1,-1,159820,-1,-1,282250,703214,841021,762280,-1,-1,-1,244804,-1,585942,76464,215075,788590,-1,76171,-1,345201,195946,-1,43247,-1,-1,-1,328481,695197,-1,275306,299562,-1,6217,-1,-1,163441,-1,-1,284641,654251,-1,-1,-1,866271,985634,-1,-1,215901,-1,548157,881675,-1,-1,-1,410281,760377,-1,829002,-1,216789,-1,389834,-1,-1,-1,-1,-1,-1,286219,875795,-1,-1,592024,554935,453073,-1,752936,-1,987082,-1,768994,175937,-1,215712,-1,-1,64988,94525,498569,-1,63666,495837,571061,463554,-1,636738,557005,556821,887848,823276,577472,738573,314481,-1,-1,-1,389850,680767,-1,-1,-1,415985,-1,-1,-1,-1,43048,-1,880856,-1,549481,764186,259600,-1,91985,-1,23484,263446,-1,-1,-1,-1,820553,-1,-1,190660,452665,-1,952754,-1,-1,700103,908735,-1,-1,720363,-1,-1,534781,-1,-1,304482,978246,861600,-1,637950,630668,-1,383972,-1,317982,64766,-1,517223,-1,-1,864470,-1,-1,590448,-1,-1,-1,476319,682360,-1,-1,-1,-1,-1,516604,794824,-1,-1,881635,-1,709625,-1,750937,966751,-1,-1,-1,757018,552948,384171,318130,-1,553953,246139,-1,-1,333100,555514,996534,-1,-1,327516,815242,-1,-1,681697,-1,642226,-1,304080,-1,520332,2678,-1,-1,-1,623113,579780,252850,286473,875583,610331,-1,551348,935480,-1,-1,954656,-1,-1,387104,719013,188878,-1,340653,-1,-1,-1,410284,-1,-1,931730,-1,-1,718560,990028,286457,-1,-1,-1,508036,-1,784035,965466,956771,157886,461225,-1,931395,-1,349216,-1,-1,137925,93390,137425,764493,17129,-1,-1,-1,746299,-1,-1,-1,-1,359030,-1,293174,-1,-1,-1,-1,690960,-1,-1,-1,-1,-1,332000,-1,135241,832042,-1,-1,-1,984619,-1,965477,-1,-1,720950,-1,328181,191258,960276,153492,-1,-1,235425,-1,228706,-1,-1,-1,-1,-1,-1,-1,516657,-1,-1,269118,994398,672499,97917,359192,-1,-1,-1,380661,932784,128157,-1,779287,981066,-1,375749,124694,469930,-1,-1,-1,-1,524879,5198,899803,-1,470772,753500,461296,600709,52728,-1,-1,926355,672234,-1,-1,-1,-1,-1,-1,-1,-1,313680,504698,-1,-1,-1,-1,767480,393138,-1,267597,187289,-1,680727,758602,-1,-1,277447,-1,741479,231460,558086,-1,-1,894220,670570,-1,-1,118768,-1,194045,-1,301973,-1,-1,421798,-1,64508,358546,992673,-1,-1,-1,-1,320222,-1,-1,873649,-1,-1,340469,145361,99730,779887,-1,-1,171518,253693,-1,-1,78607,-1,-1,-1,-1,169089,-1,252251,-1,35147,796673,-1,928626,623648,192341,-1,-1,673297,194997,-1,-1,906444,-1,322579,649000,-1,913616,-1,-1,-1,-1,967012,938880,158711,-1,-1,753842,481960,-1,-1,791011,-1,922348,-1,-1,-1,-1,-1,-1,237034,-1,525631,326217,-1,-1,-1,-1,452925,134261,-1,-1,887623,-1,-1,-1,-1,-1,530867,696358,832533,817394,-1,948336,-1,803767,217590,674609,935156,-1,876129,-1,764661,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,862973,629611,937461,-1,-1,118617,858641,-1,931449,841052,-1,-1,332434,683277,-1,982051,-1,-1,-1,948799,445951,829020,518961,-1,610678,834179,-1,146750,45534,-1,-1,-1,254750,349352,819984,-1,-1,664382,-1,911319,144390,724477,43527,641871,900755,825703,-1,523848,518546,747840,-1,48429,-1,754727,-1,23107,-1,298528,944174,-1,-1,232679,-1,-1,774366,-1,288533,674164,-1,-1,619292,817670,-1,459162,-1,484323,94670,-1,-1,416274,315482,255522,-1,-1,-1,352662,-1,473571,851381,575926,-1,24733,-1,494654,155642,853034,-1,-1,839369,-1,-1,221176,270509,88464,624491,-1,924018,-1,111073,201441,592970,-1,20658,492597,-1,-1,848577,320432,-1,-1,916983,-1,223564,-1,936414,-1,183656,847903,29821,-1,651653,754240,765655,-1,543889,-1,-1,31190,-1,42474,861018,748273,354010,-1,-1,-1,-1,970988,322780,-1,599686,-1,-1,383006,-1,656142,579642,-1,109840,512968,253820,-1,373528,471714,-1,859983,-1,843803,-1,415407,847838,-1,-1,-1,-1,-1,472667,-1,158940,607955,-1,-1,760844,325655,662479,835943,163121,-1,-1,753972,-1,-1,417159,70213,-1,942679,-1,858801,-1,780662,-1,-1,584177,300489,-1,925639,-1,898046,-1,-1,206163,-1,-1,187398,-1,-1,141981,989041,-1,-1,391021,-1,560390,-1,-1,998068,18363,-1,-1,772352,302812,-1,640125,971697,-1,547676,-1,-1,542995,-1,-1,-1,-1,-1,-1,497578,180121,-1,-1,-1,210494,872824,23811,888749,914592,-1,-1,976728,719330,-1,609334,-1,-1,344716,-1,-1,453698,-1,732167,272374,-1,-1,594785,552469,575990,-1,899559,406429,-1,479125,958880,-1,436486,-1,518148,-1,-1,194746,-1,713087,202246,-1,-1,-1,475237,-1,-1,-1,-1,687826,257855,-1,-1,177029,804932,-1,183627,749591,397070,964643,-1,-1,658413,-1,759847,854625,-1,-1,743490,-1,-1,56285,-1,-1,627740,-1,594881,-1,-1,509912,-1,-1,934393,326216,3051,-1,381477,800527,236612,190396,-1,-1,367966,-1,10656,21359,235460,-1,985833,730819,924450,-1,-1,-1,-1,35228,673970,493800,-1,786452,638207,149261,-1,930233,-1,774338,-1,-1,615076,-1,955088,706771,697119,-1,936625,554171,912098,-1,-1,973037,845278,-1,487239,757820,348729,-1,-1,592319,-1,917879,864638,153724,-1,-1,-1,-1,-1,785521,-1,595942,898153,376833,853537,96637,-1,153136,-1,-1,-1,-1,-1,-1,-1,-1,654419,489751,-1,-1,793005,308079,263591,930337,886766,42665,750265,-1,426438,-1,153967,671217,-1,388302,602680,499162,796849,-1,-1,707087,-1,478467,57310,225390,984164,-1,-1,-1,925814,-1,-1,147539,341214,-1,-1,-1,931952,486553,47622,24646,340890,874985,-1,14378,303110,-1,-1,498790,-1,497106,74003,-1,759825,50980,852057,924913,-1,485228,130782,-1,-1,374991,684777,342406,580272,868646,816059,-1,622848,643608,-1,430702,735595,-1,777110,501661,-1,136337,-1,-1,925254,-1,-1,13648,697847,-1,3291,276112,487808,255720,932692,-1,-1,-1,-1,369738,193835,-1,212685,250302,-1,448118,-1,889721,-1,-1,-1,-1,-1,-1,219902,-1,-1,940273,-1,-1,381487,-1,312568,-1,707336,-1,-1,-1,-1,-1,-1,670822,-1,-1,606479,-1,264839,582845,16280,112276,763135,-1,-1,281896,92420,-1,348404,-1,220156,72782,-1,-1,89222,174792,-1,-1,-1,-1,-1,166112,-1,-1,-1,948300,513549,-1,-1,-1,236475,-1,357032,655279,-1,476040,-1,277148,978664,-1,68681,-1,838243,-1,998369,-1,537167,115876,133120,86031,-1,876793,474990,567154,-1,952161,602124,640127,864228,341493,835369,-1,-1,929312,641344,-1,-1,846618,-1,-1,686705,-1,-1,817501,-1,871701,-1,265831,340009,-1,274916,928156,-1,391869,-1,-1,-1,688299,253562,-1,593853,992538,881869,-1,-1,-1,-1,497703,931804,236015,-1,-1,386575,884580,-1,-1,-1,1971,602889,-1,921432,852964,-1,-1,349738,782909,-1,-1,953277,32132,-1,993458,-1,-1,-1,680987,-1,585780,726386,344282,267477,-1,239623,-1,68993,-1,350840,361411,562848,-1,508185,-1,-1,752574,-1,-1,-1,270465,858699,674945,-1,-1,-1,-1,445202,390063,383948,-1,592222,755656,902107,405005,947754,-1,-1,547384,-1,689157,-1,-1,-1,-1,-1,489830,-1,292388,-1,20895,487495,-1,463986,-1,-1,-1,-1,825987,934822,-1,846434,930069,207101,77203,733626,-1,891889,-1,870154,688924,153442,-1,-1,-1,-1,-1,753383,-1,-1,-1,16369,-1,545624,-1,987471,24736,-1,-1,-1,415147,-1,334593,191484,972450,-1,-1,712548,675459,872519,304047,381635,317888,511637,975595,611010,593031,-1,944965,328021,337686,337705,-1,-1,-1,-1,965996,-1,404073,-1,-1,-1,52436,-1,165743,-1,842628,453855,123437,336271,451235,-1,-1,945061,688327,-1,979589,-1,-1,-1,414202,-1,-1,-1,745432,-1,406306,544207,-1,312388,-1,-1,61843,896257,-1,817004,341813,-1,-1,809639,79830,868557,-1,751804,798063,-1,-1,-1,567614,-1,-1,-1,104648,956335,392888,-1,-1,-1,995212,-1,75941,-1,253435,864971,611422,961417,656194,-1,771375,-1,-1,-1,380522,-1,918007,-1,500718,652481,676509,337725,-1,-1,-1,-1,100962,-1,685799,750540,275361,947137,704495,250838,552329,-1,-1,714918,765776,652272,-1,-1,160102,269290,162887,675555,153738,-1,173658,-1,498315,-1,829292,-1,-1,311785,669884,-1,-1,-1,-1,-1,18118,-1,670370,843704,852853,327554,-1,-1,384744,-1,297673,-1,-1,256058,172551,898722,93387,-1,846280,882886,473970,-1,458684,-1,864490,-1,82608,8607,989174,-1,-1,-1,768481,-1,48699,933255,234000,-1,-1,-1,621997,-1,323037,-1,11604,-1,125457,-1,-1,402132,-1,-1,-1,908141,-1,-1,827553,869418,-1,-1,347109,-1,-1,-1,-1,192484,791651,727985,-1,293371,403014,-1,497717,-1,-1,-1,551879,924943,-1,-1,552588,538672,799925,786501,695387,53942,-1,-1,-1,-1,840129,782045,-1,518457,-1,-1,912193,-1,162448,784860,-1,293602,-1,-1,-1,817289,-1,-1,-1,29698,762575,628800,-1,465896,591949,366229,-1,204996,389044,637915,49789,-1,291257,-1,-1,526975,-1,542146,428951,217243,113826,840130,-1,-1,-1,478913,305329,249542,406192,907514,436682,454632,-1,781731,-1,960085,454640,337137,856190,-1,-1,-1,-1,-1,435206,111544,-1,-1,700373,945936,-1,-1,-1,908243,538581,-1,544229,-1,171166,-1,461361,-1,-1,57903,622577,95061,249114,441697,-1,-1,-1,-1,100607,-1,-1,-1,655416,-1,3468,-1,-1,-1,-1,-1,483531,-1,934112,513481,137002,629873,-1,-1,731465,371092,567743,580748,-1,798972,-1,78864,-1,-1,-1,889804,985246,-1,357547,-1,27057,185784,-1,-1,886751,-1,554009,-1,84840,-1,-1,18344,292271,843078,919902,-1,533404,-1,-1,437109,391728,-1,25503,341846,474340,673617,738253,295852,-1,-1,835645,-1,393976,-1,-1,-1,508071,-1,644909,414797,-1,-1,535233,67747,-1,-1,521188,425589,-1,-1,282047,-1,-1,-1,-1,-1,609468,-1,-1,472579,9098,-1,-1,-1,-1,896668,-1,-1,971923,-1,-1,120983,241214,-1,685075,-1,-1,-1,975834,-1,748199,-1,285385,980748,221885,-1,-1,394296,958187,-1,226575,314405,-1,-1,-1,-1,-1,866447,658593,666423,694705,-1,-1,917104,-1,338849,443240,-1,-1,887318,-1,-1,-1,614975,825598,-1,687295,-1,62457,972501,-1,223238,589046,-1,-1,93686,92365,-1,-1,579603,-1,-1,647193,111115,-1,-1,684798,870969,-1,-1,-1,-1,443478,995072,490064,-1,26361,-1,-1,-1,383750,689180,937934,-1,39316,-1,-1,-1,800320,-1,-1,-1,714220,-1,600595,-1,893066,593483,-1,-1,-1,824784,528475,-1,-1,190179,-1,-1,870068,445937,-1,-1,-1,94879,-1,341977,-1,-1,958049,-1,-1,734883,602526,-1,380131,778837,-1,669089,619117,376085,-1,-1,544237,532671,-1,-1,249205,823175,175334,859300,724191,-1,906866,206211,-1,238562,567973,-1,248916,493584,-1,934221,374063,748085,146522,-1,925817,-1,-1,817684,-1,647016,420061,513088,-1,-1,127581,-1,-1,-1,44650,219142,-1,103434,7933,-1,273847,618196,645686,-1,74438,801321,-1,462920,-1,-1,-1,-1,-1,913364,413898,797972,234739,104242,-1,-1,221394,-1,102431,771159,920648,-1,-1,-1,996396,-1,119411,-1,722174,227025,392801,194487,489540,360955,349479,-1,671366,-1,-1,-1,86654,-1,-1,-1,188633,700668,450723,741612,-1,-1,975120,-1,-1,666883,455261,28161,400919,641691,944438,-1,-1,471205,26808,-1,572956,414624,913949,708749,727280,-1,-1,360126,-1,-1,-1,418828,-1,494182,365165,-1,253025,-1,792308,389451,906247,-1,-1,339166,576587,968773,-1,-1,302690,-1,161630,-1,161400,-1,738086,995916,-1,-1,90737,592299,-1,-1,-1,678447,-1,387286,882302,-1,3616,916200,349036,-1,459687,524212,960853,-1,219805,679468,-1,43249,-1,282999,-1,-1,587178,665202,-1,995622,-1,-1,752128,150157,-1,281285,250887,-1,833237,-1,-1,897799,-1,-1,-1,914301,540124,-1,933951,-1,-1,752359,460638,-1,-1,-1,538085,652396,-1,-1,406722,379709,-1,-1,-1,863658,176547,98876,-1,-1,-1,581952,-1,265514,-1,741420,-1,-1,205562,-1,985783,604305,-1,-1,526209,204810,825464,428187,-1,632477,432986,977191,771161,413763,650573,712426,-1,528559,474603,53607,-1,785759,504537,578904,944236,976609,862011,340625,150075,-1,-1,41130,499497,64051,-1,-1,-1,-1,-1,372321,-1,122140,788658,-1,-1,315235,-1,135951,933052,-1,-1,182742,702047,-1,411473,657820,-1,595792,-1,124665,151054,604600,-1,-1,191500,974033,295955,589515,684909,864284,-1,663907,984555,166348,701606,963435,975467,-1,-1,958648,164227,157777,-1,954671,795107,382901,495926,-1,-1,720587,367780,-1,-1,-1,-1,958010,-1,-1,959746,-1,370774,444718,-1,-1,469726,603942,919643,-1,512363,-1,-1,-1,-1,-1,480664,561226,749232,924130,974002,415287,-1,-1,603610,-1,428307,549774,-1,571818,-1,993929,-1,-1,-1,-1,-1,-1,-1,-1,-1,240835,-1,921390,781436,-1,429680,-1,677861,179622,879723,-1,-1,417600,168359,-1,-1,-1,-1,-1,-1,-1,221575,-1,934298,-1,-1,-1,770105,247260,-1,683615,274742,-1,-1,-1,-1,256687,594015,-1,-1,-1,-1,453967,99144,813661,759295,-1,674014,-1,-1,277163,603584,880346,619471,-1,-1,-1,258367,-1,-1,82871,108386,115937,-1,-1,29287,-1,660556,-1,581893,416512,-1,365725,-1,11036,319906,77693,430480,194923,480880,223910,528721,-1,-1,61322,-1,-1,-1,890220,971038,-1,842114,434184,447761,496541,106274,929480,-1,-1,434708,-1,857324,-1,-1,734681,-1,662826,-1,-1,-1,33507,825546,611569,-1,-1,509633,458189,-1,-1,653531,856088,-1,947044,123588,-1,868841,186424,329822,-1,-1,-1,360461,-1,-1,-1,-1,-1,-1,-1,-1,768427,-1,281065,-1,371911,-1,269416,-1,355577,-1,243123,645229,570156,-1,188985,668176,913617,753210,253866,-1,384400,683938,-1,528198,-1,-1,-1,-1,-1,165905,-1,-1,841406,643183,-1,788523,-1,376996,100011,-1,256669,7435,310512,-1,-1,57163,559826,234731,411818,482056,977601,639546,317173,-1,454953,166754,50812,-1,-1,924348,-1,784638,594645,-1,-1,6281,71939,675386,3934,-1,149121,101625,408311,281514,745996,-1,876117,100164,352818,806367,402033,-1,-1,128372,-1,675856,-1,-1,-1,-1,-1,669870,-1,-1,-1,475550,151091,-1,-1,-1,-1,-1,894670,935730,896461,425675,306861,-1,-1,824943,-1,485741,377104,-1,-1,230420,-1,-1,-1,-1,399424,-1,-1,-1,500117,899416,827027,116397,-1,111049,-1,195044,148952,2567,61482,-1,-1,-1,256016,289128,-1,-1,-1,-1,-1,486332,-1,-1,523440,672304,679098,795009,265096,-1,-1,-1,-1,896054,-1,543302,335588,-1,765384,-1,694208,398547,279174,888328,-1,9233,471270,-1,636557,-1,-1,703318,-1,-1,-1,485651,187178,-1,-1,21763,373852,592759,-1,-1,241107,-1,-1,-1,-1,183180,-1,-1,174438,824050,542766,874165,-1,298535,716625,842004,-1,527093,717136,36211,-1,-1,-1,-1,-1,-1,494798,585609,-1,-1,195942,-1,534931,-1,-1,254338,-1,-1,-1,-1,24447,-1,-1,932724,-1,-1,242907,876091,210827,726893,195757,301754,-1,-1,-1,-1,-1,602956,370501,168004,-1,271435,206790,-1,-1,-1,268867,756258,924865,-1,296571,-1,142571,-1,407596,129409,980234,-1,272755,-1,187473,-1,-1,573489,839724,781897,-1,-1,504817,-1,212189,97206,-1,-1,-1,996210,345173,-1,-1,89219,848588,459247,806072,147140,-1,-1,-1,-1,973972,38154,-1,886387,802951,358518,182055,-1,-1,173421,-1,132451,554450,503076,-1,-1,-1,-1,-1,577916,-1,386164,-1,199711,-1,-1,-1,568507,73956,-1,-1,-1,-1,-1,544087,152701,608275,-1,-1,-1,995224,-1,795147,64883,-1,719182,-1,-1,-1,844144,-1,353773,-1,-1,41542,191644,-1,-1,362930,640292,611611,-1,333171,834226,214794,949664,-1,27963,666984,95521,-1,-1,-1,723526,359046,-1,-1,-1,-1,751517,146959,-1,81812,584066,-1,654430,-1,369876,504533,969185,132867,-1,-1,-1,936602,-1,-1,724391,-1,-1,141004,-1,-1,800065,-1,85181,-1,879751,170365,-1,-1,144796,-1,-1,-1,80158,129596,-1,-1,-1,-1,-1,328335,-1,924981,914594,345782,398292,282304,956638,369928,-1,500339,535813,117336,-1,203241,-1,24957,206599,709038,339666,471314,931941,125276,-1,434627,-1,-1,650720,-1,-1,-1,-1,-1,555011,-1,98233,-1,-1,-1,-1,-1,816675,453888,-1,470496,667931,-1,576862,943000,-1,388884,-1,-1,904622,-1,-1,-1,658729,-1,-1,-1,94403,629477,840774,-1,-1,-1,-1,771132,61260,-1,281259,459675,954521,842564,-1,388000,484577,-1,684142,249473,581894,-1,431327,923495,340201,982595,896170,329614,367634,-1,-1,-1,998452,-1,859654,-1,-1,791645,-1,976614,-1,758865,637379,819559,824458,-1,417284,-1,936108,929384,931910,335657,884693,-1,439086,24926,-1,-1,417575,-1,-1,-1,278634,-1,827632,-1,360124,-1,536117,698167,451001,719696,350965,511233,4517,610515,-1,547575,-1,-1,-1,-1,694584,271295,-1,42977,636497,-1,992855,-1,-1,469830,-1,308448,-1,-1,-1,811678,-1,-1,859504,-1,338400,-1,-1,-1,477405,-1,-1,553239,419048,-1,32557,832358,839427,-1,905566,-1,138686,-1,996691,-1,-1,341330,-1,-1,748719,909150,-1,163565,-1,-1,168167,-1,-1,120131,6112,307653,-1,836911,6020,186520,-1,992039,339213,-1,-1,615618,685672,346064,-1,-1,834119,568267,-1,164124,-1,-1,-1,-1,-1,474746,-1,65325,-1,730684,-1,-1,157748,-1,504679,-1,-1,-1,188504,-1,523725,600033,-1,-1,720432,-1,-1,572602,42461,877566,-1,-1,945146,693275,30173,158915,827085,187044,149444,-1,-1,-1,509240,-1,252210,-1,-1,60754,-1,372532,685181,835527,-1,-1,384346,-1,-1,-1,385632,671116,-1,-1,-1,750830,622342,-1,-1,-1,37496,-1,935679,-1,825897,-1,-1,839494,-1,678486,72460,135705,349720,138422,636148,873122,606806,-1,-1,-1,436870,-1,-1,-1,135170,-1,129923,206330,350783,-1,-1,409022,-1,-1,-1,-1,-1,-1,-1,590960,759892,-1,684227,273297,866136,-1,358851,928415,926154,115075,-1,-1,-1,-1,-1,879692,-1,640091,742410,-1,241532,-1,-1,307181,-1,87648,-1,741484,144823,-1,366784,-1,-1,207867,-1,475642,728737,240559,2841,638990,784294,-1,165536,-1,678377,-1,-1,-1,-1,-1,783299,-1,-1,941289,302573,-1,135503,190274,939209,716992,-1,721847,679923,235857,191516,846395,478754,497500,521066,717375,-1,153631,428893,-1,351633,589272,-1,7349,20208,-1,-1,751283,-1,867864,65442,423895,-1,703787,428805,177722,961596,-1,-1,-1,-1,-1,559231,-1,-1,-1,854806,-1,-1,771744,-1,-1,487257,-1,-1,-1,-1,-1,-1,246129,398290,851530,-1,-1,-1,-1,104241,914848,-1,322323,333817,-1,-1,-1,-1,958746,548805,933999,629175,-1,-1,510949,546800,-1,-1,64046,-1,974154,652480,-1,790494,-1,776398,-1,794675,125659,-1,-1,-1,-1,-1,-1,716853,-1,41339,-1,-1,-1,-1,-1,-1,-1,-1,-1,109261,-1,507976,250614,658124,52559,-1,689882,236846,-1,-1,-1,478857,-1,960899,-1,76298,950931,651024,714303,-1,137940,-1,-1,-1,358237,161494,61126,-1,746534,562868,-1,464786,-1,-1,215051,-1,967601,-1,-1,-1,238852,-1,630721,521434,-1,-1,-1,-1,-1,-1,798583,475171,-1,-1,269667,795584,603980,858220,-1,-1,559442,41265,-1,801420,-1,190147,482442,562492,-1,-1,-1,-1,-1,-1,-1,206325,-1,617628,694414,-1,241625,-1,542851,571351,189615,-1,944408,103369,123989,554357,654140,445933,223146,-1,218182,755423,404480,603216,860424,-1,-1,-1,180399,-1,-1,537902,-1,-1,-1,-1,748099,189239,268378,355758,-1,648341,451017,-1,-1,-1,-1,461946,-1,-1,109475,448258,-1,185735,631070,814825,638476,-1,397705,736465,170624,675717,257558,-1,-1,354773,894972,454955,219708,-1,-1,-1,623102,-1,385930,-1,58743,115473,493724,40869,451335,648756,-1,-1,965070,598000,716072,-1,425565,-1,44639,-1,118583,360382,144577,210001,441185,-1,859909,-1,783612,235221,-1,-1,-1,1972,600077,-1,-1,138141,-1,590691,92986,-1,-1,464380,-1,-1,-1,521892,-1,-1,760903,-1,583712,610771,-1,-1,275567,-1,-1,969029,-1,831585,-1,683852,276156,368500,1853,-1,334894,-1,790507,-1,782815,407599,-1,-1,-1,-1,-1,477306,188384,-1,-1,177085,813955,-1,-1,929397,-1,527893,-1,334328,-1,637821,833396,-1,-1,-1,497765,932392,342805,-1,-1,395016,659727,-1,41109,903311,-1,-1,-1,-1,532597,302273,991821,662566,545733,-1,267149,241924,2302,-1,38902,699710,-1,617550,239482,150333,-1,-1,723389,-1,-1,703264,101864,-1,374757,-1,59003,875322,167078,-1,813344,278118,-1,-1,-1,-1,-1,829140,-1,842652,725309,873104,438703,-1,-1,749912,-1,-1,165614,-1,-1,-1,889951,-1,-1,348740,629876,915269,829487,-1,-1,-1,-1,825960,-1,459696,-1,-1,723216,896907,997459,-1,-1,-1,-1,-1,314147,-1,-1,845597,240096,-1,-1,-1,-1,-1,-1,-1,-1,-1,62698,-1,-1,-1,-1,-1,760190,-1,400982,-1,497395,-1,-1,-1,-1,-1,927778,861946,-1,14910,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,314226,-1,196999,656477,-1,-1,-1,131080,927776,-1,740517,-1,671874,-1,823789,-1,-1,-1,788163,-1,49294,-1,990204,-1,801538,-1,952640,449957,-1,585747,600344,917972,-1,920260,-1,193642,-1,-1,-1,-1,-1,-1,455494,179132,-1,288299,-1,-1,-1,839811,-1,640009,725223,762793,31167,216101,650699,-1,-1,-1,-1,-1,-1,-1,-1,-1,596397,687487,-1,-1,-1,358670,657962,-1,-1,498884,752332,-1,466703,-1,286906,-1,-1,969595,923567,-1,532918,-1,-1,300224,-1,-1,529289,-1,-1,586660,-1,-1,662545,823713,-1,-1,99931,-1,-1,639733,258855,940517,413967,-1,753298,-1,230084,785596,-1,109864,600406,686028,-1,254363,733287,-1,-1,986873,29434,346512,-1,-1,-1,-1,855297,233737,-1,-1,757295,-1,-1,324890,-1,-1,443085,-1,-1,475891,-1,646740,510464,-1,944845,143608,870797,-1,706396,336109,826653,-1,-1,-1,-1,713061,4884,903846,-1,486300,-1,617492,-1,732568,-1,-1,485923,-1,686796,996139,705879,361098,18828,-1,-1,382250,972437,-1,-1,-1,-1,891353,979631,837674,62417,-1,431826,-1,892112,517384,884284,-1,716795,605398,183415,700967,-1,-1,-1,829587,-1,-1,-1,-1,880168,227998,405758,733707,367537,-1,-1,836066,708645,583269,-1,450673,282738,-1,-1,609434,-1,-1,-1,129273,-1,214929,620796,535771,-1,-1,-1,-1,547852,-1,935912,490727,626573,430579,-1,-1,-1,-1,696411,816499,-1,36473,-1,-1,508956,483856,-1,-1,-1,999554,672935,791520,564889,-1,-1,998415,-1,-1,317342,-1,672310,-1,908429,426424,106636,464008,-1,-1,875509,-1,-1,452301,-1,-1,53393,-1,178408,-1,432994,345521,-1,-1,881484,331322,-1,893467,634118,-1,-1,15431,-1,-1,-1,-1,-1,906636,978740,-1,-1,982113,436562,-1,467404,-1,994694,-1,-1,-1,-1,-1,-1,-1,657664,-1,443147,-1,-1,309848,-1,-1,971458,-1,845584,-1,983107,594511,812342,818047,-1,154563,-1,-1,362160,-1,-1,-1,405858,197188,876312,973829,945695,-1,314140,862545,476127,774543,266770,-1,403652,585959,-1,-1,223303,312415,-1,-1,-1,-1,-1,192486,507713,-1,-1,-1,231487,963511,-1,-1,685198,620989,69666,95672,921965,-1,585522,480491,-1,-1,188882,-1,757645,-1,253972,-1,-1,238429,-1,-1,268454,-1,-1,-1,-1,284250,214276,-1,-1,-1,-1,899096,771454,-1,-1,176298,-1,-1,648773,-1,626875,-1,-1,-1,-1,-1,-1,724417,733474,721752,837488,-1,980585,215851,75795,-1,160581,909204,-1,-1,816587,-1,573823,719011,5681,-1,-1,-1,7383,559584,-1,931553,695349,-1,771868,111973,-1,87287,-1,-1,257834,-1,500749,509965,-1,-1,-1,219273,320904,-1,532825,-1,727618,128512,-1,918353,-1,-1,-1,703482,463376,-1,-1,-1,932356,2101,736274,-1,504351,-1,171795,868591,-1,-1,-1,-1,62088,549129,152357,924612,578140,-1,522267,-1,-1,176486,546854,-1,9737,-1,398644,929752,797855,-1,-1,-1,794238,-1,447762,540256,-1,-1,-1,533301,447070,-1,97674,-1,-1,909290,157147,-1,857174,344421,-1,-1,-1,-1,185279,-1,52564,-1,-1,-1,-1,549142,614357,-1,16697,315981,825667,-1,803031,87100,-1,-1,-1,661867,-1,653566,448080,513067,498361,-1,-1,-1,-1,-1,511237,381002,-1,-1,316013,407805,-1,266547,763594,940560,345730,242167,787836,-1,-1,287530,-1,262512,-1,-1,432032,722952,-1,250533,77125,-1,659510,-1,-1,231032,493393,9209,-1,-1,482530,-1,71267,-1,-1,400725,535190,-1,414353,-1,38048,-1,-1,-1,381854,-1,421476,978418,798867,261601,210502,301366,328059,-1,141036,-1,563569,751617,-1,565030,-1,922190,493589,-1,-1,-1,986498,684576,653696,-1,47987,-1,-1,-1,49432,421044,-1,-1,999300,-1,465286,-1,703902,862128,-1,239027,-1,-1,17834,-1,697142,-1,-1,746168,-1,119407,-1,-1,-1,-1,330114,704633,182857,125600,36186,426465,487045,-1,126857,-1,287112,-1,-1,631655,571205,358993,965908,202669,891854,514237,-1,806975,-1,-1,-1,36162,233647,-1,9725,846686,-1,298474,-1,231483,-1,-1,412162,-1,-1,-1,651932,-1,235434,680305,-1,459830,-1,-1,514677,-1,-1,-1,-1,935038,-1,551557,920238,-1,212764,915973,-1,15291,558300,-1,-1,73525,821407,-1,725753,282141,-1,-1,524207,-1,824014,-1,-1,892141,-1,600459,403336,-1,-1,38795,801792,911360,633446,490875,-1,228032,-1,-1,-1,-1,-1,-1,-1,-1,-1,894912,616971,-1,-1,-1,956167,39813,-1,-1,-1,-1,-1,-1,333942,-1,902578,988584,-1,94875,-1,-1,-1,647221,-1,-1,-1,-1,-1,-1,-1,-1,-1,799977,980196,485259,779221,-1,-1,-1,32725,988049,-1,1414,-1,-1,-1,513507,134711,859460,531503,109629,-1,-1,-1,-1,-1,-1,774062,-1,901384,433393,505766,986295,-1,-1,580003,-1,346721,-1,16562,-1,-1,136423,783910,-1,-1,392815,-1,-1,-1,-1,176760,462966,-1,-1,178195,765207,968281,-1,-1,954635,-1,212,-1,507317,-1,-1,146101,271586,-1,569288,733908,248617,-1,447876,679402,964673,536506,-1,-1,752345,-1,143301,395437,383589,-1,-1,-1,-1,-1,578611,754530,861252,-1,-1,-1,-1,534708,696265,370703,273505,334389,-1,-1,-1,989299,795288,-1,984306,516272,-1,-1,-1,572341,-1,237339,-1,-1,-1,366930,854545,-1,-1,-1,-1,-1,433851,-1,259743,-1,-1,-1,-1,-1,-1,217738,-1,555077,-1,-1,-1,-1,-1,-1,739151,-1,-1,-1,-1,-1,-1,858164,-1,305754,887390,491608,-1,-1,-1,-1,-1,347450,430034,484183,804744,902713,-1,-1,471092,191091,-1,-1,-1,-1,694747,-1,-1,278883,-1,300471,-1,450801,892417,101227,541658,-1,760965,360062,923950,-1,682392,315042,-1,280761,438589,296193,-1,-1,-1,-1,289882,-1,-1,-1,-1,989082,-1,-1,-1,333659,174182,-1,-1,-1,-1,804547,721534,-1,-1,225574,-1,-1,921400,168285,-1,-1,-1,759041,322297,970599,79351,868912,950235,-1,-1,-1,574808,238350,997067,380758,-1,185830,619662,274323,932395,955843,113120,-1,-1,-1,968802,71405,949412,-1,29687,758911,516981,-1,649010,-1,-1,-1,-1,-1,551823,477697,128871,937659,503312,632579,-1,-1,-1,-1,-1,148201,99859,744019,-1,-1,931930,984370,-1,-1,-1,-1,878385,251775,514379,796300,68756,122318,-1,-1,-1,-1,-1,265380,379035,908806,322247,960106,-1,431150,252176,250170,867037,-1,648348,382353,758111,208988,-1,-1,411457,770165,884608,-1,-1,711786,-1,-1,-1,-1,107461,458885,389822,475661,-1,-1,37733,-1,-1,-1,-1,197549,78700,-1,230546,-1,-1,-1,-1,-1,93790,715457,-1,-1,-1,-1,-1,108919,-1,-1,-1,473190,207445,695834,-1,-1,49784,920063,233257,-1,-1,686741,355219,610416,-1,-1,23009,-1,-1,453625,475724,-1,-1,973799,-1,409738,-1,366609,-1,881539,-1,948886,676107,-1,-1,753497,-1,70827,191076,-1,870993,604683,145364,220968,-1,104697,521952,367338,874403,-1,146669,-1,828694,-1,818050,-1,-1,-1,-1,-1,-1,434876,708684,830424,-1,-1,-1,520642,879271,748575,-1,345653,994255,440457,-1,820026,-1,784216,-1,-1,-1,919952,631901,840658,-1,712867,-1,60747,878688,301795,813106,182906,217677,-1,-1,100803,-1,-1,-1,968267,-1,-1,187791,-1,-1,490146,-1,-1,-1,-1,-1,-1,-1,98305,174013,-1,-1,437469,-1,-1,-1,973925,-1,880384,-1,-1,623673,-1,-1,625814,-1,115857,729339,105219,-1,-1,-1,715860,285114,-1,136892,-1,929383,834048,-1,796936,632440,-1,-1,547045,-1,453597,-1,876023,572622,718612,-1,-1,556400,-1,768587,-1,-1,311321,484532,-1,-1,689191,679229,418138,-1,-1,653376,477666,-1,-1,267373,-1,226193,-1,-1,657183,910026,120772,-1,982385,-1,-1,878203,208780,523214,-1,291088,766559,-1,227643,840752,785829,-1,-1,161751,704922,-1,185405,-1,-1,625043,-1,553544,399666,386620,747664,-1,157635,-1,-1,459022,244239,322871,-1,-1,-1,878617,-1,-1,-1,918938,105535,-1,594248,-1,-1,911817,38869,202903,933012,-1,-1,770898,725776,-1,-1,-1,-1,-1,933321,168799,16775,-1,325909,-1,-1,-1,384146,-1,-1,-1,-1,606719,548913,14602,-1,870292,687045,-1,910981,-1,551782,-1,-1,-1,20287,-1,-1,727687,196258,884031,191209,-1,940177,789432,-1,409346,947258,22124,-1,-1,-1,884790,513631,-1,-1,-1,1126,393940,-1,-1,224650,595628,792481,-1,172226,-1,539393,-1,344912,366516,-1,-1,-1,-1,488551,-1,971075,-1,-1,125451,-1,512948,-1,-1,-1,-1,-1,-1,-1,-1,562474,932338,317651,-1,-1,704071,463398,-1,-1,-1,522966,699668,-1,537052,905544,777736,-1,585802,854803,242805,316482,426728,321522,263775,550359,809753,-1,207192,-1,410804,-1,611506,-1,13045,-1,807711,-1,-1,-1,549313,968956,868341,-1,837171,533612,-1,834338,-1,-1,689360,-1,343966,-1,-1,510313,-1,-1,-1,-1,-1,-1,508799,-1,-1,-1,-1,-1,365117,-1,471437,-1,853559,68184,147906,892567,128898,460696,83374,621551,-1,-1,18375,301722,-1,-1,770647,349594,339030,745710,208527,620192,494604,135393,265555,240001,23198,639027,-1,-1,-1,625614,613639,-1,-1,144203,704636,-1,289976,-1,-1,878196,-1,-1,269913,116596,-1,-1,-1,338501,-1,-1,-1,-1,-1,675938,506954,58875,-1,75527,153688,664374,-1,41525,-1,-1,259461,673876,128753,391207,141083,401811,76017,-1,784587,-1,372677,295865,-1,-1,725242,572444,466150,856153,131774,-1,398941,826461,-1,-1,-1,-1,596075,121133,518623,769155,-1,990463,-1,-1,-1,704517,-1,760218,985857,-1,802698,-1,359672,-1,664289,-1,135047,-1,-1,-1,-1,-1,-1,260721,-1,748693,562341,-1,-1,-1,-1,-1,-1,383664,-1,95071,-1,896870,-1,-1,841610,-1,-1,41101,-1,161237,-1,-1,769879,550087,-1,907056,902096,-1,736442,-1,-1,5818,552839,250624,708286,547664,616210,52442,232754,333344,-1,326229,336395,380403,310578,-1,-1,46448,-1,-1,-1,372703,-1,82116,184961,170929,409280,700225,696739,667430,-1,-1,-1,-1,-1,-1,471755,387273,-1,-1,55117,-1,-1,-1,966559,260112,-1,403197,766892,822668,-1,185508,-1,-1,-1,-1,695939,650592,-1,415618,552028,181759,591906,790673,-1,-1,-1,-1,86523,-1,497738,-1,719124,836029,634936,-1,393474,214278,692786,541798,-1,-1,-1,923348,-1,-1,647757,-1,-1,99816,-1,-1,167699,-1,-1,540233,963514,164645,-1,271085,893518,-1,851136,174102,352119,42200,439164,-1,292113,-1,626453,651640,-1,162741,-1,-1,619446,-1,266173,555541,-1,-1,467849,462074,-1,112762,149456,-1,-1,-1,-1,253071,156221,-1,-1,-1,-1,468917,812689,-1,556193,-1,-1,717212,578910,912064,396619,504095,222483,456725,21821,-1,631992,-1,165765,-1,850231,951545,805053,-1,-1,-1,255067,67351,-1,-1,-1,501051,-1,-1,-1,-1,-1,-1,693941,-1,-1,-1,11507,-1,-1,-1,34483,494368,-1,986497,342332,-1,852323,196479,659697,280732,-1,-1,230467,-1,-1,-1,132093,25773,-1,663319,-1,-1,465887,-1,473423,-1,-1,699108,768264,299980,384657,-1,-1,-1,353563,226144,175557,-1,400214,-1,-1,-1,-1,498544,-1,-1,-1,-1,195354,-1,-1,470552,-1,524250,495331,-1,896408,-1,-1,-1,-1,-1,567032,-1,626080,-1,-1,168804,-1,-1,-1,-1,647633,474522,598661,-1,657910,228716,-1,740237,830128,-1,544319,75970,3120,30988,895702,-1,496397,-1,-1,-1,-1,-1,771702,-1,-1,632874,-1,967778,-1,-1,-1,-1,861160,-1,-1,-1,-1,650936,-1,-1,929488,-1,-1,666342,110061,-1,-1,390789,-1,72032,-1,1477,-1,494145,831482,956336,953319,-1,-1,805200,401484,-1,-1,-1,-1,727907,-1,-1,340830,-1,703809,-1,-1,-1,-1,989594,389821,824476,679648,-1,411644,-1,578274,-1,833689,-1,-1,822111,-1,-1,715297,-1,-1,-1,701046,-1,-1,766350,60875,-1,-1,-1,14558,12138,728299,497890,-1,100314,778829,738432,-1,81998,526190,211383,75122,2449,-1,-1,-1,-1,692054,-1,-1,-1,604184,583286,-1,-1,-1,-1,-1,-1,-1,-1,932322,424996,-1,-1,-1,-1,-1,-1,-1,803518,-1,457507,-1,752999,-1,-1,-1,908603,-1,97731,973577,562131,413682,30830,-1,-1,108016,580464,-1,523448,-1,995334,422798,966217,-1,-1,408813,331091,487331,752527,-1,-1,365,744676,987536,523471,947966,-1,-1,396631,-1,75658,-1,-1,-1,686333,55724,960380,-1,15866,298050,715020,300219,-1,-1,-1,-1,-1,-1,-1,-1,58785,551065,-1,-1,-1,93162,-1,627319,786840,-1,193057,-1,419298,-1,-1,828205,-1,924659,969661,859714,-1,274884,-1,639570,-1,822961,-1,632137,100238,231429,-1,-1,-1,474478,401686,431453,-1,-1,-1,-1,-1,-1,-1,505959,-1,658194,278491,747488,764783,-1,640891,579060,-1,459334,-1,-1,87505,-1,522436,426239,-1,-1,-1,775167,-1,507520,-1,125495,850690,-1,898629,-1,538667,987297,199665,-1,219081,151625,-1,737981,-1,337593,-1,-1,-1,-1,-1,-1,837607,541523,474443,-1,-1,-1,-1,-1,21217,468760,-1,-1,226875,-1,-1,-1,-1,-1,410850,-1,-1,709977,-1,-1,-1,-1,653771,-1,-1,-1,-1,-1,531159,-1,655453,-1,102403,-1,680204,-1,-1,951354,-1,-1,758640,-1,-1,-1,-1,-1,618638,844491,-1,459527,-1,329788,978470,316721,-1,-1,663440,718640,93209,-1,-1,639606,246526,449585,-1,-1,635803,895502,-1,577339,-1,-1,605902,-1,740609,-1,-1,-1,373634,-1,560490,332740,-1,-1,10473,-1,-1,-1,528088,497865,431821,-1,-1,-1,-1,733345,85913,-1,-1,847178,-1,-1,136108,150989,-1,62357,-1,167990,868941,851773,-1,902751,-1,243429,348769,947325,-1,986756,-1,-1,-1,-1,633546,596873,-1,-1,465010,337671,325706,542833,930927,-1,-1,219686,-1,253787,452025,-1,-1,-1,-1,-1,271582,-1,-1,335232,466531,-1,-1,-1,341029,770542,459219,-1,306269,923477,631787,-1,979879,833282,-1,33617,429201,-1,422830,-1,-1,-1,-1,-1,759919,237847,718250,-1,-1,505228,845006,656931,931739,-1,646004,-1,951947,-1,-1,-1,139691,757167,981899,-1,900606,-1,-1,496699,-1,-1,533860,-1,-1,622773,-1,367137,-1,-1,-1,344485,692688,661347,611393,-1,-1,651427,-1,28023,858052,456176,458089,818221,-1,830006,56496,196363,883476,-1,-1,-1,491182,399565,294638,593942,-1,-1,615660,-1,920240,-1,-1,130277,84148,717909,-1,-1,332482,-1,-1,69122,862663,832211,-1,698958,225881,-1,-1,-1,-1,-1,-1,241740,-1,457664,-1,-1,-1,142380,844484,884638,336842,-1,-1,318542,2910,-1,-1,940224,886131,-1,507546,-1,50995,937172,-1,726984,520110,-1,-1,631254,-1,536960,304803,378579,232331,254093,874416,-1,7491,113305,-1,-1,545354,390311,59573,300956,436215,773128,-1,74085,-1,-1,-1,-1,308125,-1,-1,302308,-1,-1,589043,-1,66330,-1,-1,619669,-1,-1,193312,71213,-1,-1,-1,-1,332287,-1,759922,875096,24738,-1,95444,-1,-1,-1,85771,-1,-1,-1,794661,-1,628947,-1,902521,853076,569482,-1,425720,-1,447998,-1,-1,-1,173824,419875,-1,-1,6812,-1,499781,-1,-1,-1,972821,452708,343863,775147,171895,479036,405483,-1,432106,32487,211727,487730,729446,254728,737654,384874,-1,-1,709296,-1,-1,-1,-1,981359,823622,863606,-1,-1,605196,872817,584631,267897,-1,766593,-1,637927,-1,-1,243534,877954,-1,-1,-1,-1,101181,-1,593966,-1,59405,-1,11721,-1,-1,688683,26991,751843,-1,-1,-1,490015,479766,32068,448886,-1,146454,970581,-1,354874,651646,206867,521055,-1,-1,148443,-1,420764,-1,-1,-1,-1,148947,-1,-1,18000,-1,-1,-1,412090,-1,-1,-1,692352,-1,-1,-1,795198,-1,-1,-1,-1,-1,-1,10136,-1,-1,230396,3876,-1,-1,279204,996412,-1,68552,-1,110693,906215,-1,913453,-1,-1,-1,-1,-1,294755,-1,-1,-1,-1,183354,196580,-1,-1,-1,758683,973854,-1,-1,22284,320918,-1,-1,-1,-1,-1,387077,-1,138715,883610,824770,-1,-1,269910,260942,103997,762450,746866,-1,-1,410205,-1,-1,-1,-1,455779,242964,523897,-1,-1,-1,-1,939262,495264,424857,-1,-1,334438,-1,894802,-1,-1,-1,369069,721612,393098,-1,364031,-1,-1,488433,-1,657986,-1,-1,-1,867178,-1,851098,984038,240381,789029,-1,-1,-1,885904,-1,-1,-1,508221,300147,953064,-1,-1,81680,100808,-1,-1,-1,-1,432964,701670,959816,-1,374245,-1,-1,216629,830929,-1,845824,-1,-1,-1,-1,900906,-1,-1,-1,244436,-1,-1,739573,682025,708381,205461,257682,-1,-1,-1,-1,-1,-1,603780,979731,-1,362542,-1,364823,-1,-1,817190,-1,-1,-1,-1,739955,-1,-1,774757,-1,587384,-1,436845,-1,570886,103937,457450,105001,723004,-1,299591,-1,-1,355633,670359,58845,-1,-1,868994,147125,675748,-1,250243,945248,-1,-1,42397,-1,-1,-1,469507,466668,239139,603022,176728,524116,443305,-1,-1,-1,672314,389979,-1,-1,161499,-1,-1,-1,662895,539217,405962,-1,-1,-1,-1,350622,-1,686803,19978,266818,-1,-1,742599,238346,-1,66925,-1,8677,432121,-1,676661,565790,998667,272972,-1,808466,925060,906083,-1,830442,121855,858447,182387,373768,655477,601625,211702,102410,-1,-1,822355,-1,-1,-1,724563,-1,525482,404219,848925,-1,360082,215695,876570,870893,-1,608287,-1,-1,-1,801338,126260,498551,885842,-1,99766,121537,789747,428536,-1,-1,-1,-1,241796,292523,925927,978598,294348,265912,-1,-1,-1,-1,-1,39945,970077,918568,323841,624630,959717,-1,-1,-1,-1,397237,-1,-1,205420,-1,245976,-1,-1,297439,681729,-1,-1,-1,-1,-1,485562,-1,122588,455513,-1,680398,-1,-1,737391,45578,357540,255862,596782,543143,-1,-1,-1,-1,-1,541672,-1,437710,306059,-1,678268,-1,65743,-1,-1,-1,-1,649949,398639,699589,-1,375272,89467,-1,-1,399540,-1,856337,-1,235836,977974,-1,-1,119104,126278,92448,144952,682235,869072,-1,-1,365538,-1,849618,-1,-1,-1,885060,-1,662059,-1,964605,465882,465761,-1,111050,-1,388542,-1,400675,358141,-1,-1,-1,839668,805050,338021,-1,-1,24464,-1,294504,616583,-1,-1,-1,902549,78036,22943,709536,-1,981296,409437,-1,-1,-1,158771,-1,601268,675533,876886,-1,-1,-1,475263,-1,-1,111698,420075,534501,-1,-1,274777,-1,-1,-1,546297,79148,515260,-1,872363,972078,156744,493614,-1,-1,-1,-1,583877,615040,-1,133822,-1,-1,-1,-1,-1,114191,166882,-1,-1,-1,923749,-1,-1,23662,-1,-1,470704,632517,719015,609744,-1,-1,-1,-1,-1,-1,-1,-1,378653,188437,892722,-1,401516,59968,-1,556427,214291,16671,307590,569016,99948,-1,707159,468852,208255,173161,-1,-1,608179,157131,445728,241362,-1,-1,168056,-1,128768,-1,-1,-1,-1,-1,712381,-1,645206,-1,-1,-1,-1,423565,-1,-1,412820,669723,416168,331057,-1,373856,-1,3850,721372,-1,-1,-1,355548,782325,821175,-1,194603,766073,44486,-1,-1,-1,-1,495457,861361,-1,157682,-1,705737,-1,747662,-1,997935,-1,458902,64861,-1,615447,333584,-1,-1,-1,-1,-1,677273,-1,591830,381941,887247,694072,629877,-1,776433,636246,727309,-1,496457,-1,-1,45133,44737,-1,951174,845542,638117,204236,117914,402957,-1,-1,353829,504287,-1,200748,21994,874401,326205,661355,-1,954053,-1,-1,-1,109383,645422,647643,-1,763838,-1,-1,49173,742927,866256,-1,-1,787385,-1,-1,958268,311973,258653,249348,794286,-1,-1,-1,-1,647969,689549,-1,-1,284520,990983,-1,-1,868505,586411,-1,-1,-1,-1,-1,805805,-1,-1,517807,26327,-1,-1,499828,255323,390748,-1,422381,13797,-1,-1,-1,-1,489561,-1,-1,123488,-1,3965,186309,-1,-1,158367,-1,-1,643689,-1,-1,-1,453218,-1,-1,644570,629141,-1,11513,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,731432,-1,478274,-1,-1,-1,-1,944597,-1,-1,426911,-1,350348,253015,-1,366355,392320,55,-1,-1,-1,759834,610707,26636,233188,193176,-1,900175,782672,-1,-1,-1,460037,-1,-1,-1,325279,419934,-1,-1,198204,814209,927137,-1,23981,-1,-1,-1,-1,76668,-1,349221,605948,-1,-1,-1,-1,-1,-1,338087,-1,-1,-1,771276,-1,-1,-1,759679,-1,-1,-1,752668,-1,-1,-1,715010,-1,-1,-1,296766,-1,-1,-1,306102,-1,424502,765316,-1,-1,662814,-1,520688,134515,-1,882144,-1,-1,65638,35150,-1,417533,-1,5871,-1,-1,164458,-1,-1,627478,-1,-1,447988,-1,-1,702119,813844,669140,302671,215118,854476,918932,-1,-1,750789,-1,509966,343377,-1,-1,273880,911136,89615,714238,-1,-1,-1,960723,-1,-1,306700,-1,-1,-1,-1,62013,-1,891063,-1,492147,980843,923027,102814,-1,460924,169795,-1,-1,-1,538457,-1,-1,-1,-1,-1,379544,187371,-1,-1,52260,-1,865192,105924,673622,994017,-1,339145,-1,-1,323779,551641,995296,-1,-1,135975,587547,399172,954978,590841,-1,-1,-1,583680,-1,-1,-1,951006,-1,-1,396642,-1,-1,-1,-1,618657,-1,470532,417857,-1,-1,-1,13140,980182,-1,-1,-1,436287,841483,819574,542985,74149,-1,-1,-1,306040,930998,40268,-1,-1,-1,167210,-1,183317,576904,74792,735466,326352,-1,723960,-1,640325,638020,-1,-1,92410,-1,578816,880108,884789,-1,276427,-1,917954,-1,475884,581873,-1,284369,723604,-1,279788,-1,-1,362145,-1,-1,-1,-1,-1,783361,965794,-1,836453,507796,-1,-1,-1,-1,324638,414767,-1,-1,278490,675163,-1,-1,-1,-1,167252,297689,-1,142348,336683,324801,740459,508222,-1,-1,-1,445494,-1,651506,213051,-1,566509,-1,845655,340303,-1,-1,-1,963057,-1,-1,295498,995507,-1,-1,169896,-1,330626,145443,-1,-1,-1,-1,-1,311117,-1,-1,843467,-1,301934,206690,953600,-1,-1,-1,-1,237738,-1,-1,-1,-1,837473,-1,276864,-1,488115,72532,-1,-1,645514,556293,-1,178063,-1,-1,117698,284511,782958,517771,691335,-1,535482,896441,-1,-1,-1,-1,-1,-1,225539,-1,494498,-1,-1,-1,469975,670713,941782,816443,260409,-1,-1,748439,-1,801889,218867,-1,77135,-1,-1,797949,397204,-1,531401,29701,-1,-1,104465,950993,-1,-1,-1,857941,541914,-1,-1,-1,957128,895124,171926,673428,-1,17981,104190,-1,-1,-1,808756,94408,300908,-1,145547,665586,241239,975780,-1,905181,-1,336326,-1,-1,-1,-1,322390,285973,-1,-1,-1,74757,244635,865523,-1,236560,826506,275513,558689,-1,-1,365477,661981,532681,-1,-1,434260,9735,896883,-1,277820,-1,-1,-1,-1,896290,-1,-1,330006,-1,513826,239520,156853,-1,167932,-1,-1,-1,417120,831724,314755,811529,80414,-1,904604,717856,736474,598496,-1,-1,111472,681712,-1,-1,231108,-1,501095,-1,-1,-1,-1,-1,-1,-1,656289,949199,-1,-1,-1,880188,-1,-1,240475,-1,53402,864917,-1,775473,538143,-1,-1,-1,796271,-1,651872,875117,-1,-1,-1,38173,212335,992,682264,-1,-1,708600,932361,919992,-1,-1,-1,-1,716089,265415,489056,-1,-1,425510,-1,-1,-1,522375,-1,615864,355168,700469,-1,728452,811479,-1,120052,185950,935959,277746,553889,604423,-1,-1,166602,108616,-1,73358,769677,779820,435047,229280,-1,-1,520397,-1,676887,-1,130763,696827,305612,861256,-1,-1,-1,-1,-1,553689,-1,987409,-1,914689,79575,621465,-1,819019,130451,-1,-1,-1,292685,-1,-1,-1,-1,442491,-1,-1,61803,564887,935076,-1,-1,-1,-1,404056,-1,-1,-1,-1,173205,179141,-1,883202,669532,-1,-1,592812,-1,208137,-1,-1,-1,-1,-1,-1,-1,-1,-1,982867,676596,44407,-1,30969,767471,533641,716737,932974,-1,-1,853063,-1,873709,-1,-1,481503,622643,-1,76466,592037,-1,-1,665974,747571,-1,-1,304973,710468,-1,-1,-1,700400,-1,485529,-1,-1,-1,584206,364573,117180,-1,-1,108393,379635,-1,-1,65199,-1,423267,-1,-1,-1,-1,-1,31541,211815,-1,773129,-1,337629,-1,-1,-1,-1,258072,588544,-1,-1,58603,288269,802055,-1,-1,-1,589305,-1,566881,-1,763184,-1,-1,-1,650759,475487,721462,577630,-1,-1,-1,343307,721404,-1,956666,380585,-1,-1,-1,813625,994131,324292,-1,842159,-1,-1,-1,-1,-1,497091,-1,-1,771245,680515,567091,449058,454590,127208,424621,-1,-1,520478,729670,844063,-1,341764,557058,-1,296477,-1,-1,379780,849861,157852,-1,625739,-1,368631,-1,53596,-1,-1,-1,-1,678575,-1,573516,823239,-1,-1,-1,-1,747689,-1,462833,-1,794195,-1,336729,168731,29426,-1,-1,854487,169369,-1,-1,245473,36783,206855,514384,552308,68516,157715,548861,354146,872260,-1,166891,394410,-1,765562,431006,-1,361635,458291,-1,-1,-1,-1,-1,-1,-1,527000,-1,-1,-1,698142,-1,-1,-1,-1,-1,912006,-1,255865,925657,-1,-1,719251,-1,-1,-1,-1,574550,903925,223682,864847,-1,-1,-1,998840,356310,-1,-1,68983,-1,363192,910390,132965,-1,69721,24346,478644,-1,234665,-1,-1,760287,171393,-1,-1,598665,-1,152565,947314,144628,242029,-1,689760,141552,60824,754529,522746,-1,376195,-1,869617,-1,-1,127580,-1,-1,16246,-1,-1,-1,105590,896632,-1,-1,849526,-1,-1,701058,-1,451481,-1,366062,335576,-1,-1,372665,-1,-1,293412,-1,238698,561298,-1,24247,63724,639134,-1,-1,-1,-1,588215,-1,-1,-1,-1,-1,538360,774762,-1,-1,-1,-1,-1,-1,-1,755505,431633,-1,-1,-1,176028,538704,153003,-1,-1,-1,359418,717393,852188,997926,-1,124801,912291,228426,-1,-1,274248,407340,-1,974758,759014,-1,-1,771443,736112,-1,862347,750199,-1,702003,939828,790723,-1,146447,877246,434398,665851,-1,785058,120767,974170,-1,-1,653931,-1,75348,-1,115879,180305,159565,-1,-1,579802,-1,-1,79779,-1,-1,-1,-1,610110,-1,511333,697310,-1,-1,-1,383756,605845,-1,-1,-1,298104,-1,-1,46674,-1,754966,375832,4026,755602,194628,483479,-1,150356,-1,974383,2250,-1,4939,-1,-1,479261,-1,-1,-1,78701,477167,835968,-1,414822,-1,-1,852784,-1,971635,-1,703412,346465,22908,-1,-1,-1,496428,-1,-1,609319,-1,358500,-1,340437,-1,603634,-1,-1,686083,397480,843688,162469,-1,761211,-1,-1,-1,-1,33751,277596,-1,-1,-1,409007,322822,-1,-1,843890,-1,911608,-1,32027,434040,693478,-1,-1,890816,203908,768902,-1,-1,420039,-1,727912,-1,-1,736683,973890,10093,261086,-1,24268,-1,437336,117727,-1,524768,-1,879591,949600,-1,274521,210730,588342,-1,-1,-1,-1,373774,-1,-1,-1,-1,582044,160406,-1,620459,-1,-1,-1,-1,-1,420474,-1,-1,-1,782307,-1,-1,-1,505060,-1,314177,950852,322626,-1,-1,210023,370210,144848,-1,-1,174752,896868,-1,-1,653978,-1,-1,752371,708213,647951,110902,342893,-1,-1,-1,-1,825484,420191,-1,-1,-1,-1,-1,-1,621781,-1,-1,-1,713343,-1,-1,408118,962281,-1,-1,529784,-1,311208,-1,872943,251853,975301,934036,316781,164062,456085,587125,831033,895331,287068,346479,369072,-1,-1,-1,-1,-1,-1,417737,233731,541574,330929,822859,-1,-1,540473,552080,496614,537391,-1,-1,-1,242931,-1,219862,349727,-1,-1,-1,765859,-1,-1,-1,-1,-1,617157,-1,-1,-1,287028,840419,-1,-1,-1,-1,-1,-1,112687,253385,625675,-1,-1,-1,115484,831795,-1,-1,-1,595936,-1,-1,96575,-1,626508,371610,-1,972232,-1,-1,886657,-1,-1,718499,74466,439915,-1,-1,-1,362864,-1,-1,-1,824645,-1,-1,699387,883931,669230,-1,-1,860585,53311,-1,-1,-1,-1,513301,463821,727472,281861,452511,465606,-1,-1,87751,43538,-1,-1,353224,772811,877758,-1,-1,328387,-1,92551,357325,305522,695177,-1,-1,832479,-1,-1,309155,-1,-1,-1,-1,-1,196428,-1,661325,530291,446006,393812,-1,187330,811452,-1,-1,528080,364972,913688,-1,-1,-1,547024,-1,-1,759400,150285,-1,-1,-1,973024,-1,-1,159506,316829,666315,-1,-1,979872,-1,-1,-1,-1,718233,818983,249719,135130,-1,-1,585356,740448,-1,-1,937565,-1,-1,-1,-1,498286,805825,-1,829425,66213,768911,464079,-1,-1,468870,-1,758113,914856,-1,-1,762695,775569,-1,553577,-1,-1,-1,-1,149552,-1,746666,222908,-1,-1,-1,702640,64036,975284,-1,611989,-1,-1,247319,-1,-1,-1,-1,221180,214395,112260,840121,-1,-1,457417,-1,875585,-1,240109,77088,-1,306709,477933,-1,981330,-1,193431,507085,-1,-1,283843,438392,-1,121597,767935,117040,-1,366893,-1,422762,-1,-1,-1,-1,-1,-1,-1,-1,317121,-1,-1,369850,-1,458362,-1,102358,480730,-1,-1,-1,-1,655673,-1,-1,941894,-1,397039,-1,-1,-1,711344,271,542433,-1,-1,975321,-1,-1,138184,-1,-1,17346,-1,521633,-1,-1,-1,87232,820640,-1,-1,442889,-1,-1,-1,-1,-1,803801,802068,-1,-1,994949,-1,-1,-1,15758,713690,220814,707281,373952,294576,876692,-1,813389,-1,-1,-1,799358,322092,-1,-1,967408,-1,843214,-1,265223,899908,454967,-1,-1,50323,-1,609432,-1,508702,-1,-1,42250,377508,-1,168789,679596,907533,886065,-1,625189,624470,-1,918457,907346,-1,637602,-1,-1,515846,226410,-1,-1,946245,-1,-1,984407,-1,728505,-1,968462,574588,377249,-1,798945,-1,305924,361020,469433,565036,92627,275458,-1,121833,-1,-1,197807,-1,-1,-1,-1,972449,643209,-1,-1,-1,-1,805894,133557,432533,-1,-1,172906,-1,-1,-1,173422,-1,445526,216903,-1,-1,-1,-1,-1,-1,-1,428861,-1,-1,460883,-1,-1,-1,-1,624948,425124,-1,-1,-1,-1,629820,756998,280106,987384,859579,-1,456739,102581,-1,330814,-1,848022,-1,-1,268723,-1,287604,-1,-1,672357,-1,475421,-1,247412,126438,-1,-1,-1,294587,-1,625321,988486,361984,709374,644647,-1,-1,-1,-1,-1,567294,361488,462686,480276,-1,132328,-1,699177,506762,684863,-1,549552,-1,770124,901411,-1,-1,965007,-1,-1,-1,-1,-1,537177,-1,-1,-1,283212,-1,201128,-1,-1,661675,318256,-1,590013,-1,803605,-1,204037,-1,314031,-1,-1,941865,382126,-1,601068,367676,-1,509482,89474,-1,-1,254654,-1,-1,191521,828344,229729,-1,-1,992805,-1,989988,-1,413088,-1,-1,329208,19676,610525,144658,956761,281547,366222,-1,760964,-1,713309,-1,799733,786295,-1,461820,-1,-1,-1,974146,882418,-1,-1,961139,498636,734203,-1,-1,820742,572985,-1,153787,-1,-1,689418,-1,-1,-1,-1,-1,299813,466227,-1,-1,-1,426843,140155,-1,-1,-1,-1,-1,474306,133355,346503,477037,209872,-1,695143,455202,650189,-1,-1,828787,469051,821080,-1,-1,-1,-1,691066,635743,533562,189636,789202,670532,-1,28072,150836,515648,610087,-1,-1,-1,129805,-1,620194,847529,262675,871231,658664,-1,-1,682094,523115,-1,489859,-1,-1,734296,-1,741877,-1,539672,-1,879750,137762,-1,-1,754900,-1,221636,250668,243176,-1,-1,854833,-1,-1,388795,599006,-1,791008,-1,-1,796667,-1,-1,602877,408840,-1,421674,912429,43921,-1,918567,852172,-1,-1,-1,-1,398331,359106,-1,315910,-1,-1,-1,571042,-1,-1,993708,681316,-1,253766,964125,-1,-1,704735,691475,926394,-1,-1,-1,-1,-1,-1,770693,85120,638162,347460,887101,33982,-1,312592,490672,-1,-1,52107,-1,-1,521182,865535,498955,-1,-1,-1,-1,-1,-1,-1,654136,-1,-1,552502,-1,687668,492731,290868,754772,641739,-1,181189,21307,-1,778475,923239,20061,-1,-1,678255,-1,898820,78403,-1,383371,-1,988330,490414,-1,399251,-1,919668,797621,-1,56145,-1,-1,-1,34291,392356,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,804731,167060,74039,-1,-1,-1,-1,479047,323000,14031,922707,643942,-1,993591,-1,455447,590837,616556,-1,-1,-1,-1,559474,-1,-1,-1,388900,-1,341073,89465,-1,-1,-1,-1,925617,761890,608960,-1,-1,939214,-1,-1,777486,542777,-1,-1,-1,-1,-1,-1,980758,362830,-1,-1,-1,-1,-1,152047,-1,-1,722107,-1,607964,-1,-1,-1,-1,317664,-1,673495,-1,-1,45038,326444,590040,389555,-1,-1,-1,-1,335649,391884,-1,-1,-1,728134,652072,63094,-1,776217,-1,-1,227219,-1,-1,-1,-1,307314,-1,530852,-1,-1,-1,12004,104300,158280,-1,-1,-1,-1,-1,-1,761379,930414,-1,79837,369464,883222,74897,174958,-1,474266,-1,-1,-1,241623,-1,-1,-1,561367,-1,271505,874004,-1,452887,-1,-1,422322,-1,-1,732825,-1,469030,870311,-1,879782,908089,-1,-1,20063,-1,492939,801328,-1,690873,232761,714492,-1,-1,-1,-1,569638,-1,724757,-1,-1,-1,589998,683444,999360,-1,954629,587559,966188,-1,753773,393112,-1,513864,-1,-1,979264,493878,-1,-1,781514,558516,723171,-1,-1,679080,41098,424741,669091,-1,-1,667771,-1,428305,834346,-1,-1,469925,-1,942589,-1,869572,277691,-1,286077,-1,471913,-1,97874,493485,361417,-1,92729,-1,-1,170172,-1,-1,588273,-1,-1,-1,-1,-1,284720,846676,-1,830326,405237,-1,-1,118843,-1,-1,218717,-1,-1,105721,-1,-1,-1,-1,900316,-1,-1,26079,-1,334479,-1,-1,410875,-1,498610,-1,-1,-1,740924,-1,-1,296514,-1,303821,857537,-1,331610,-1,-1,-1,-1,-1,-1,870895,419855,300831,-1,628830,-1,933511,-1,884321,385410,-1,781820,-1,2978,-1,-1,299563,-1,275797,282914,971620,-1,-1,-1,-1,-1,-1,-1,-1,257859,815298,418599,-1,173573,770449,-1,107517,593832,-1,820764,788790,479181,631484,918327,771280,263838,-1,-1,382333,-1,1032,260682,-1,-1,934062,-1,228203,-1,112398,181520,-1,930161,742768,738478,-1,425469,-1,436457,-1,571370,-1,-1,-1,-1,837463,773722,-1,214081,-1,970793,-1,656141,-1,854037,-1,-1,-1,-1,644546,194931,388192,-1,980047,236253,863358,693305,-1,-1,580626,-1,351860,-1,313470,-1,-1,-1,333351,-1,665059,-1,180372,654924,52863,542693,988775,-1,354033,270754,480945,976750,-1,-1,90343,-1,-1,-1,675960,734765,406355,-1,992179,-1,-1,-1,-1,401045,-1,634374,895233,16496,-1,-1,-1,299991,562831,797158,-1,-1,822906,-1,502073,198681,-1,-1,-1,894124,196752,61296,283685,-1,-1,242128,-1,-1,-1,-1,-1,-1,587118,-1,116153,511152,-1,-1,252480,-1,47844,-1,183705,740559,-1,-1,82471,766019,716530,539603,-1,-1,-1,-1,697774,-1,681812,475156,-1,-1,826382,-1,-1,631641,550354,-1,333033,-1,-1,-1,-1,-1,638216,454553,-1,-1,-1,528039,-1,624673,-1,-1,-1,-1,62172,762365,826874,87427,603036,589573,-1,656870,-1,-1,729986,130818,310775,970657,831837,-1,-1,272065,515874,765722,543452,621878,-1,-1,-1,-1,650320,-1,-1,-1,450778,-1,-1,-1,77150,53940,-1,431775,814921,126860,331702,-1,-1,894563,321989,-1,984889,-1,-1,-1,205791,370423,144806,24386,-1,-1,586954,625482,308176,-1,196637,842325,131421,135228,477716,-1,-1,434933,699490,649232,204644,-1,762953,-1,-1,745569,-1,-1,447487,-1,826801,-1,134437,614743,-1,-1,812886,-1,-1,-1,-1,384896,-1,-1,-1,-1,-1,-1,-1,581875,918622,-1,-1,-1,-1,920946,933250,-1,-1,-1,-1,190741,-1,155128,-1,-1,284172,-1,183536,694775,-1,93752,-1,994057,79203,-1,610665,808752,-1,843889,590358,-1,-1,393253,960467,658390,379462,-1,-1,765865,618827,-1,-1,5091,-1,471528,-1,-1,473048,-1,805268,-1,717642,-1,-1,-1,514561,612410,-1,90415,-1,-1,-1,-1,-1,55287,-1,-1,-1,836806,-1,-1,186717,-1,-1,89785,115007,642699,244033,299362,-1,366094,809378,713551,584184,-1,-1,-1,64240,-1,-1,-1,-1,-1,-1,-1,504854,-1,342891,-1,255507,-1,-1,-1,410319,-1,-1,239712,-1,62064,160617,-1,625917,-1,-1,-1,858131,643849,-1,-1,-1,407433,325486,-1,609264,735363,-1,-1,731060,38778,125916,-1,97667,-1,989066,-1,-1,338153,-1,424114,-1,653516,648334,667903,-1,636653,-1,-1,-1,-1,-1,-1,227247,-1,-1,790838,708255,50877,356122,-1,-1,49393,609933,856738,753904,853837,-1,-1,-1,-1,906198,9179,967052,42429,579287,-1,389168,239289,-1,-1,378975,622099,141980,-1,-1,-1,-1,-1,-1,560199,-1,834106,544983,-1,-1,586967,936851,-1,-1,117457,630158,876125,-1,-1,-1,-1,212994,81834,189543,76092,522855,566725,893178,159670,24488,228651,381493,384677,467604,120263,-1,503169,548330,-1,-1,-1,-1,475409,249775,198091,-1,293701,364777,86585,-1,482694,-1,-1,-1,338757,-1,342739,-1,-1,300839,-1,652216,-1,-1,133391,876265,669479,129665,415342,144764,969098,-1,-1,-1,-1,-1,175164,660065,-1,36329,-1,-1,307333,246742,385057,-1,996839,-1,-1,-1,-1,-1,173615,-1,636781,858694,696489,-1,-1,-1,-1,-1,222001,-1,-1,-1,-1,-1,-1,-1,924724,-1,989208,519653,938456,-1,882624,-1,900186,281944,-1,-1,313405,-1,677897,306255,664851,-1,752855,-1,-1,155843,783723,973468,-1,-1,343577,933005,200725,596644,968580,-1,-1,504530,493673,-1,780968,-1,696839,132128,-1,921116,354759,348854,-1,508367,585636,-1,714739,-1,439004,-1,-1,137803,-1,-1,111671,-1,-1,-1,210768,-1,1611,-1,87746,-1,-1,-1,935086,334392,-1,739345,87206,825175,-1,792057,-1,445309,-1,-1,451175,73336,-1,-1,77166,-1,-1,-1,-1,-1,-1,41213,-1,248338,703892,-1,-1,-1,-1,110998,-1,145647,-1,-1,564840,-1,668996,474751,-1,-1,-1,708706,-1,308921,-1,77966,-1,-1,25117,515007,-1,-1,-1,970482,-1,-1,-1,953163,655102,962861,-1,-1,-1,911249,-1,-1,296251,-1,217917,137587,351567,-1,-1,762616,-1,-1,786686,955000,-1,516617,-1,-1,-1,-1,-1,-1,803682,856141,940530,850598,-1,255262,-1,355524,-1,922896,-1,340097,132963,278527,178845,-1,-1,-1,821086,-1,751318,-1,116655,-1,953609,-1,-1,-1,832143,-1,892311,-1,459715,798807,-1,-1,-1,451798,829037,176685,-1,-1,433033,-1,-1,-1,521572,-1,-1,-1,-1,76201,451412,-1,168863,-1,-1,517109,-1,-1,282433,-1,-1,126449,-1,-1,-1,-1,-1,-1,227391,864832,-1,-1,985723,84674,319974,387197,-1,-1,868349,825746,956952,291895,201130,-1,-1,-1,226673,-1,923359,-1,-1,-1,-1,-1,-1,551555,936210,-1,200213,-1,851416,749440,-1,384623,-1,543213,-1,-1,-1,-1,-1,-1,-1,-1,947408,328189,-1,205971,473070,526561,-1,-1,-1,-1,-1,-1,-1,-1,535576,-1,-1,-1,-1,-1,437952,901358,59612,-1,-1,539421,295754,-1,-1,918028,908201,-1,343074,-1,26005,-1,-1,442999,658695,-1,566526,770401,355910,766002,-1,603813,-1,500673,516070,84648,638371,-1,941750,-1,-1,858464,709799,309811,367091,-1,-1,-1,368351,13811,210845,23527,-1,781352,-1,879161,-1,44515,320679,298498,530919,-1,900183,509723,501321,821997,-1,-1,923802,-1,-1,406974,-1,288278,682866,315137,-1,533526,440333,454757,583018,439465,653926,349969,-1,262103,233617,798163,-1,25140,-1,651312,-1,-1,-1,439364,-1,-1,970321,-1,853785,-1,-1,-1,886404,836073,493207,-1,-1,-1,-1,-1,48328,-1,165111,-1,652814,-1,-1,-1,-1,928371,365524,-1,-1,567928,-1,909215,-1,716013,977335,23598,685840,205189,-1,-1,512894,-1,-1,625932,-1,-1,848333,450039,582803,-1,-1,-1,-1,-1,-1,-1,161699,678413,99886,-1,-1,-1,-1,-1,763602,917798,-1,-1,721751,806591,235957,-1,-1,394000,-1,742203,845133,817648,142888,349259,747859,671747,-1,-1,923609,678045,134348,-1,75227,842885,350388,-1,-1,387831,805033,398533,-1,-1,-1,-1,95772,-1,-1,-1,229851,-1,382382,591707,-1,-1,284570,935363,521868,-1,28288,630172,-1,184300,618719,9596,-1,-1,446675,617791,-1,243612,-1,-1,232666,818751,-1,-1,-1,679781,-1,-1,-1,777100,-1,538547,-1,633315,-1,-1,531451,-1,-1,-1,-1,-1,-1,421014,-1,-1,169431,487031,919809,-1,730095,-1,-1,-1,526815,-1,833167,-1,-1,-1,-1,-1,646193,-1,479967,184572,224011,-1,-1,76214,176878,413548,-1,-1,529981,-1,-1,-1,-1,-1,346808,-1,-1,-1,-1,-1,-1,-1,913891,-1,-1,-1,-1,473460,-1,519576,-1,-1,24892,405968,-1,672677,-1,-1,968382,-1,209671,638441,-1,-1,757933,-1,-1,662946,606172,-1,-1,158032,-1,532959,606313,140074,-1,692082,341557,555687,856287,-1,-1,-1,61566,435950,34661,-1,-1,-1,-1,-1,-1,306568,-1,313784,-1,-1,-1,442083,255358,-1,855634,502370,-1,928044,172436,-1,605279,590097,514605,-1,-1,-1,-1,-1,521287,701871,684554,115370,-1,608686,-1,176057,331208,-1,-1,78661,148118,-1,-1,-1,-1,-1,-1,466353,527873,655575,667507,-1,669131,219762,-1,-1,-1,-1,-1,749815,79034,550659,530884,453821,-1,279094,806440,-1,-1,552986,622030,-1,-1,782327,137897,802389,-1,147164,546026,-1,-1,-1,-1,-1,-1,41187,891001,-1,316494,-1,996348,534445,898944,532808,449607,-1,-1,301395,589887,690602,461739,739066,508006,-1,-1,-1,-1,-1,86393,98872,991683,-1,-1,186161,-1,-1,-1,375955,-1,591239,905128,314464,394311,226683,-1,97166,133037,756490,287435,-1,584397,-1,-1,172183,606898,-1,997628,53658,-1,153649,531638,123789,-1,373405,-1,973630,35753,30683,-1,-1,239359,661490,-1,190526,-1,588362,-1,456460,68479,67483,343724,-1,-1,35164,-1,992637,-1,556848,-1,939355,-1,-1,-1,-1,-1,-1,-1,755174,217600,237988,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,991740,-1,-1,836832,413514,-1,-1,-1,-1,-1,405484,878371,469239,-1,-1,-1,693905,459723,-1,408105,-1,-1,-1,802965,382690,462392,-1,699434,-1,182479,-1,-1,162215,-1,-1,-1,-1,939219,-1,-1,492414,-1,503837,49322,-1,-1,70365,-1,128255,146430,-1,762440,360383,-1,124792,-1,-1,112033,311960,-1,-1,847947,42509,-1,-1,505920,938563,250203,-1,517448,-1,78586,-1,-1,-1,-1,-1,-1,-1,-1,-1,880034,-1,901980,87487,-1,480840,-1,-1,-1,-1,24320,-1,-1,246099,-1,-1,-1,265396,-1,-1,-1,-1,-1,-1,637014,-1,965572,-1,-1,-1,-1,315347,948761,58455,-1,-1,131476,-1,222193,-1,510829,-1,568837,798242,-1,757957,796777,187207,663040,-1,911018,853484,-1,858450,755184,29214,420614,875716,-1,-1,146333,589282,-1,-1,-1,58368,456093,-1,-1,946255,817350,571038,-1,688854,-1,41106,-1,175282,-1,804938,-1,107391,-1,841319,559452,630378,804112,-1,-1,-1,526040,607069,18095,-1,-1,-1,-1,-1,-1,-1,-1,-1,47453,578762,-1,-1,-1,908282,-1,-1,-1,88538,-1,-1,506007,552641,-1,783467,-1,-1,937670,527287,-1,743676,-1,-1,-1,-1,-1,-1,-1,912100,603841,-1,707584,171825,781006,-1,-1,854879,-1,-1,-1,816882,-1,-1,885311,-1,864574,-1,397032,-1,-1,-1,-1,-1,942888,-1,-1,765310,-1,679317,932128,-1,641937,-1,77827,713741,-1,-1,583259,995217,-1,-1,284357,-1,361394,635396,981393,-1,536254,799510,-1,236820,859205,394872,695556,-1,-1,181995,162192,-1,270568,-1,-1,-1,447528,433765,-1,-1,-1,-1,-1,-1,-1,-1,185314,-1,-1,976716,-1,397602,-1,454499,-1,692044,-1,697627,-1,417463,-1,878329,-1,-1,-1,-1,-1,216205,-1,197592,-1,691799,-1,-1,-1,942999,850245,-1,592508,-1,-1,-1,-1,570217,506490,-1,-1,49683,-1,-1,-1,-1,-1,-1,-1,-1,838528,-1,-1,-1,976023,-1,-1,-1,900802,976089,-1,-1,503874,-1,-1,772704,429404,599459,406064,-1,463747,316708,212055,-1,-1,-1,31531,204473,295609,-1,620427,11616,889634,-1,204079,-1,-1,-1,-1,-1,-1,741303,-1,638638,-1,569329,84945,304433,125326,986144,835677,-1,-1,-1,849352,-1,-1,-1,-1,70172,-1,-1,-1,626370,-1,522320,-1,-1,963977,-1,-1,695204,184089,-1,484529,-1,-1,640542,-1,-1,618335,231625,-1,609804,-1,150514,720988,-1,-1,-1,601078,480239,106657,656861,483012,647483,-1,-1,-1,-1,509276,-1,-1,196170,-1,54106,-1,-1,65139,570115,630639,-1,-1,888072,69887,-1,19182,108775,656529,-1,-1,320685,194686,66514,-1,-1,-1,-1,-1,-1,-1,-1,351130,194949,-1,-1,470291,-1,330860,347090,984723,-1,-1,-1,-1,-1,-1,32876,-1,-1,-1,-1,64913,631427,335335,247513,-1,356740,149483,676839,4986,-1,-1,899034,248224,-1,-1,393594,-1,-1,-1,44455,-1,-1,-1,-1,-1,311715,464775,-1,-1,-1,217658,258067,568145,927887,412076,608727,-1,-1,-1,944119,950216,-1,-1,-1,483192,-1,-1,-1,612497,405142,678999,560570,-1,-1,-1,-1,-1,515030,761811,368515,-1,364910,-1,-1,-1,-1,672158,-1,10761,-1,-1,-1,-1,929765,884316,11755,-1,-1,395192,624666,-1,-1,-1,-1,505283,-1,-1,679637,902083,-1,-1,-1,-1,108032,949498,-1,929353,-1,-1,961175,435976,595815,793013,-1,865852,341742,19446,575855,-1,714910,355514,-1,-1,-1,543085,139104,662366,367086,-1,-1,-1,109740,509841,909155,815680,-1,-1,-1,941489,552741,358282,-1,950808,-1,-1,-1,235100,725641,-1,818741,-1,728997,-1,-1,919412,874827,-1,-1,-1,-1,-1,-1,171682,-1,60572,-1,406920,731293,-1,17957,-1,177387,-1,-1,-1,825805,987287,996231,712513,-1,-1,126963,480147,-1,-1,-1,-1,580757,-1,340893,456139,-1,-1,-1,739792,-1,992448,-1,-1,299854,-1,235999,-1,730410,-1,-1,277546,821834,-1,214204,-1,74704,-1,468361,-1,897925,-1,600278,-1,-1,-1,-1,-1,687545,-1,-1,367626,-1,-1,856300,468748,116466,961512,-1,-1,-1,531438,-1,394048,499193,504463,771399,-1,895553,-1,-1,427398,316821,211895,471421,162646,-1,454637,607191,242321,449633,824559,101955,-1,881211,362491,632453,971938,393351,-1,732193,-1,-1,77883,-1,-1,-1,465791,29444,323839,56807,233364,128127,405207,-1,-1,-1,-1,-1,303030,-1,81568,-1,799680,905629,482038,691949,-1,243870,928350,-1,532366,951797,-1,-1,811151,321416,625915,953937,-1,-1,90364,-1,-1,482961,285587,-1,-1,-1,334011,165415,-1,-1,675100,-1,-1,495010,710092,613243,-1,770341,329572,-1,865163,625660,926509,869487,-1,517380,-1,-1,928343,-1,-1,-1,220909,-1,26783,276581,839007,-1,-1,138928,-1,-1,812357,-1,-1,-1,-1,446055,-1,306716,-1,-1,429737,553432,515672,573492,308466,-1,757586,-1,-1,616134,296750,662962,901552,-1,57203,-1,972510,263921,-1,371434,695685,753027,-1,515360,-1,116868,7563,989551,-1,605997,606341,310476,-1,-1,237512,305615,-1,11401,693877,-1,-1,-1,-1,900301,-1,914491,436706,591445,246788,-1,-1,-1,68629,-1,-1,450497,500653,530453,279768,-1,147280,906230,689632,398540,-1,567491,955585,128168,735431,650835,12718,419805,-1,307962,633388,360776,205318,-1,-1,-1,-1,-1,-1,-1,-1,-1,889523,-1,-1,444707,-1,857015,-1,32423,267786,407342,-1,-1,-1,-1,866845,854164,-1,-1,-1,-1,-1,469789,-1,-1,10608,952035,-1,-1,601815,-1,284822,860339,834181,819744,-1,-1,-1,-1,-1,-1,141545,570702,-1,-1,-1,716375,-1,-1,867810,226979,373674,-1,297944,-1,-1,775897,-1,-1,247393,-1,571467,154914,-1,382871,-1,831186,-1,-1,428883,805036,51448,-1,605980,-1,876324,-1,-1,-1,926248,915722,805921,-1,594766,-1,242575,-1,-1,-1,47740,-1,1710,836646,-1,308878,-1,555147,436100,-1,-1,344167,132387,412873,-1,-1,-1,604113,671590,-1,-1,788150,-1,-1,368392,-1,-1,-1,17699,902265,-1,164807,-1,733434,909961,-1,995938,-1,221251,-1,860907,-1,407294,383114,-1,131794,688892,-1,-1,-1,494195,611767,-1,884902,975267,216435,399146,-1,512362,-1,64078,-1,-1,990396,273533,778811,-1,910034,119023,566102,624609,128426,3245,-1,-1,282516,-1,-1,553514,427117,-1,107330,-1,-1,-1,280775,-1,476774,-1,-1,604355,218912,243028,821956,922394,-1,-1,-1,190915,-1,529501,339403,-1,-1,-1,-1,-1,86392,-1,-1,303000,-1,356596,930130,429165,-1,-1,445592,-1,-1,807638,563858,313454,759701,763494,939148,-1,-1,854516,70834,-1,-1,-1,389840,626150,917772,670425,695800,667326,16393,395464,-1,463166,-1,-1,-1,-1,988564,364683,-1,-1,143481,554170,-1,-1,692216,-1,609390,757437,464578,-1,812420,901946,-1,163841,935725,-1,625366,-1,852723,417793,841112,-1,944624,-1,735834,-1,493425,238039,495920,-1,893750,483720,-1,244130,-1,130971,-1,929782,678013,-1,-1,-1,27113,343975,319085,471877,27782,820641,-1,-1,99763,-1,-1,-1,195944,-1,93892,-1,-1,820645,191099,-1,935729,544311,901429,30284,65657,719882,-1,424546,-1,820326,-1,303407,783298,-1,659285,674458,-1,-1,485132,-1,500398,191721,-1,620033,48066,389621,538323,-1,745451,53328,-1,-1,409153,200433,598673,749283,-1,-1,-1,948898,918675,543806,-1,-1,-1,-1,55662,169610,970566,-1,-1,180189,-1,677105,178767,-1,-1,705060,-1,-1,-1,202684,-1,-1,-1,-1,-1,-1,-1,478981,-1,621582,-1,997133,829414,-1,886803,155276,92514,555786,-1,-1,694636,-1,527930,-1,-1,377822,710901,-1,190867,-1,-1,579466,-1,-1,-1,813354,-1,295077,-1,-1,-1,832807,-1,-1,175660,-1,895090,141345,34292,990135,-1,-1,706,-1,-1,994304,517022,130222,142400,-1,-1,-1,764261,62191,-1,267401,-1,-1,947052,-1,379350,-1,-1,-1,-1,802242,-1,383238,-1,240399,89279,511827,-1,-1,-1,-1,317348,-1,-1,-1,643696,-1,-1,-1,-1,-1,265682,-1,-1,-1,705605,164257,917745,601176,-1,977186,479468,882326,-1,997742,-1,689414,-1,-1,459093,-1,538014,-1,816269,-1,826851,-1,-1,426588,-1,223781,-1,-1,-1,293426,-1,-1,614204,-1,-1,-1,-1,-1,902177,251485,955384,-1,91162,-1,977012,350851,175922,469050,715224,12602,150801,-1,-1,587870,-1,309386,-1,-1,951879,632865,-1,-1,-1,441939,-1,195156,-1,910982,451791,422955,196202,-1,396902,-1,93009,-1,-1,-1,-1,-1,240535,-1,-1,-1,771208,213542,934963,779915,-1,-1,-1,-1,338317,938996,138531,-1,952781,626473,869450,258493,-1,-1,-1,659768,-1,376854,-1,310023,605373,398408,-1,-1,244018,546272,-1,372599,-1,-1,-1,421794,-1,272540,14627,-1,-1,779070,-1,-1,559407,537292,-1,435306,877401,-1,365394,-1,-1,602288,-1,-1,-1,-1,785992,-1,193220,-1,-1,-1,38812,588169,-1,-1,560890,628145,912245,517503,-1,-1,-1,-1,-1,515086,420011,-1,454227,-1,-1,-1,280496,-1,614043,151681,-1,-1,-1,-1,-1,231831,631438,-1,-1,-1,-1,-1,-1,125025,285446,844375,159816,-1,-1,746480,9592,-1,485094,586103,392442,-1,-1,232543,-1,281522,-1,-1,-1,529292,-1,11385,978892,194977,793333,-1,105155,-1,720371,377748,878092,-1,-1,808168,113357,-1,551888,-1,-1,-1,-1,440486,-1,918072,-1,-1,823972,-1,713214,-1,-1,878416,-1,-1,-1,149397,162119,-1,731556,-1,-1,-1,-1,-1,947165,970362,-1,-1,926887,-1,-1,758559,534661,-1,680210,-1,743801,-1,-1,232539,410628,346264,20774,75691,-1,332900,-1,646933,786889,-1,-1,88047,-1,416211,-1,-1,674636,-1,-1,-1,-1,-1,-1,282584,-1,212751,418337,-1,434986,756413,-1,917936,694989,-1,708465,-1,266940,876758,197055,-1,605893,589012,-1,917114,777836,-1,-1,-1,395794,-1,367579,785160,-1,737103,697081,390308,12068,216918,-1,805081,790577,872768,414842,-1,38470,-1,-1,-1,-1,705235,22332,780264,-1,-1,-1,156007,-1,-1,-1,-1,995048,-1,365663,39053,643022,759111,-1,-1,122480,14883,819606,689050,428001,116777,539836,943122,664827,-1,-1,-1,798782,-1,-1,562625,-1,-1,-1,469670,-1,728691,-1,861986,-1,491724,564103,-1,859203,879102,122540,-1,998344,-1,-1,416055,-1,-1,-1,-1,-1,443253,-1,344792,303979,-1,-1,-1,954289,-1,-1,800386,-1,-1,-1,-1,-1,-1,201872,-1,470848,950965,574785,-1,-1,-1,-1,412030,818088,-1,720057,-1,-1,-1,237517,-1,874485,-1,-1,-1,1696,125857,-1,-1,-1,-1,896312,-1,-1,-1,-1,-1,847259,939500,301036,-1,-1,737877,-1,-1,-1,723502,-1,-1,-1,531245,351184,346474,-1,-1,366274,-1,-1,-1,762286,-1,794456,-1,994851,831263,-1,815069,112933,145162,67615,-1,826195,-1,-1,614735,638850,341006,-1,581552,923305,-1,671845,-1,-1,932228,-1,569389,-1,-1,710691,-1,-1,-1,499915,366643,-1,969968,-1,-1,761581,879081,-1,-1,-1,-1,919570,-1,485074,-1,263307,252739,-1,764988,242542,334615,70859,-1,-1,-1,-1,-1,-1,-1,998921,-1,-1,889874,-1,-1,-1,141097,-1,-1,243116,626959,883495,453173,949319,356513,-1,936273,779243,964802,930670,745215,-1,-1,-1,116534,587521,860436,820100,571860,-1,629392,-1,749956,-1,-1,537977,186075,153777,-1,-1,351826,-1,-1,291496,236466,-1,709524,809064,103390,400616,-1,-1,-1,-1,-1,-1,143165,-1,300736,-1,-1,-1,550208,-1,-1,-1,789401,-1,-1,-1,275299,520546,-1,369477,-1,-1,-1,-1,116968,-1,221970,647361,-1,-1,-1,-1,-1,-1,-1,885214,-1,-1,896522,-1,830300,-1,636820,350968,503687,-1,400540,-1,712450,-1,223596,-1,18593,-1,911891,566945,-1,-1,-1,335772,-1,-1,-1,256724,471684,-1,-1,380980,207663,-1,126080,-1,-1,-1,376299,537166,-1,72085,927296,-1,-1,773658,-1,456906,91033,716666,-1,628756,-1,848935,-1,60200,-1,-1,-1,121722,-1,302788,629682,-1,-1,994965,-1,-1,78638,-1,490847,-1,-1,-1,186469,-1,126446,-1,545814,691092,807603,-1,-1,-1,-1,-1,43455,-1,-1,-1,-1,-1,-1,722959,188178,69845,-1,562510,-1,-1,-1,899703,257688,578842,-1,-1,-1,-1,-1,264446,828885,376828,939,761676,-1,746636,-1,114476,-1,-1,-1,-1,326550,-1,-1,-1,-1,643494,354243,-1,-1,-1,168232,-1,-1,197128,-1,387067,-1,250894,327511,210164,-1,180806,84645,-1,115390,371254,-1,354930,-1,358341,2654,156745,-1,-1,-1,540908,-1,-1,-1,-1,907373,-1,-1,-1,-1,-1,471286,-1,695871,481550,-1,227343,573459,54214,-1,548595,981578,560983,-1,-1,-1,-1,-1,-1,527009,-1,-1,-1,165734,-1,910409,-1,-1,869956,-1,-1,679529,112287,511996,617969,51282,492100,216610,943226,-1,486863,-1,446293,877499,511885,-1,614816,-1,-1,45850,340913,699422,811359,-1,17325,-1,864157,-1,597920,-1,-1,-1,-1,-1,352594,214064,-1,900116,-1,-1,-1,-1,423578,488368,593304,-1,71504,359643,63533,-1,-1,-1,614661,131108,-1,-1,2848,490189,-1,128245,-1,-1,17343,-1,918558,-1,76011,349885,-1,-1,-1,-1,392275,-1,-1,666334,270569,-1,190701,-1,193792,-1,-1,129653,-1,594207,68611,-1,126181,940392,-1,-1,-1,201295,776488,-1,-1,600486,-1,-1,-1,530410,724136,760271,190180,160889,858177,992327,794883,-1,-1,719790,583119,402978,-1,775583,-1,-1,-1,-1,-1,543448,154025,-1,769557,-1,-1,-1,721266,78943,-1,886129,373840,-1,969981,207901,-1,-1,-1,846541,-1,-1,260797,313517,44139,-1,-1,573713,-1,-1,34631,-1,323734,302389,326406,516336,608035,673926,815851,-1,755053,673773,818265,316848,259490,-1,-1,27281,30659,-1,-1,1095,-1,-1,-1,624547,194165,-1,-1,-1,804490,157220,734166,986954,733862,234953,97753,346578,-1,219424,-1,985243,-1,-1,333007,-1,-1,-1,-1,77735,265828,827002,690577,-1,-1,707246,-1,117828,-1,629893,-1,-1,875457,521891,-1,413191,-1,65792,33166,411376,-1,-1,-1,22783,275486,-1,972629,709938,145550,519367,770074,570438,755040,729641,598391,808463,-1,714882,-1,-1,767751,31257,-1,648466,249639,-1,-1,307365,922631,-1,880060,267441,-1,697323,490178,903704,-1,-1,921398,781981,998915,-1,-1,-1,727485,-1,414660,547209,-1,721223,-1,362611,-1,-1,311368,830376,585099,-1,-1,363350,778289,-1,-1,-1,544566,-1,-1,-1,522712,477742,597170,447423,-1,181764,78612,236194,269712,216033,-1,243233,150666,796186,-1,-1,-1,91233,972551,525388,-1,-1,355130,766563,-1,301273,-1,-1,833045,-1,356033,-1,-1,-1,-1,694431,-1,796674,679439,-1,-1,97793,122150,-1,-1,-1,-1,-1,-1,-1,437600,539524,-1,-1,20884,-1,150166,154052,-1,-1,497864,785895,403110,643641,122645,486478,-1,552011,-1,711655,837477,644040,518364,-1,797615,-1,533482,-1,642997,-1,578007,-1,-1,-1,-1,-1,78786,63329,926768,861842,539776,-1,-1,-1,-1,-1,-1,-1,479824,-1,65027,-1,128,-1,775471,103755,-1,-1,690874,-1,624446,-1,142357,545011,301080,826737,379322,494171,-1,6689,503559,714936,309537,650404,-1,844055,595864,528941,-1,-1,-1,334897,986310,845368,-1,224605,770440,-1,-1,-1,310943,13861,804628,-1,-1,-1,-1,94837,317265,-1,711849,46378,-1,-1,246467,40644,441359,-1,77709,856866,-1,205141,791218,-1,296329,-1,165761,521525,-1,-1,-1,-1,-1,621419,-1,-1,657233,-1,-1,855245,178253,-1,-1,-1,361525,-1,-1,511321,358127,-1,330387,-1,51622,79191,771681,-1,716447,-1,507652,-1,-1,289521,-1,-1,-1,-1,-1,-1,-1,830506,-1,701228,372183,227879,597839,274838,-1,-1,-1,248964,548279,-1,119283,11989,943228,-1,561061,-1,901563,-1,-1,-1,-1,437514,562425,-1,666579,-1,-1,292783,407121,-1,-1,674677,983496,-1,798381,798620,47734,-1,-1,-1,-1,-1,-1,-1,-1,797675,128403,-1,129721,97721,777782,367362,-1,-1,841844,-1,-1,-1,-1,-1,142325,657668,476130,610204,-1,-1,741478,331902,512629,855878,-1,437894,-1,-1,305593,908012,639742,584440,69440,-1,917169,-1,491278,772259,232303,-1,-1,403832,799803,-1,488688,196782,-1,446392,682481,766542,-1,-1,-1,666764,-1,-1,-1,925676,84435,192071,-1,772849,660000,794128,934275,-1,534938,-1,873827,-1,27075,-1,-1,263782,432741,-1,-1,-1,793270,-1,-1,880040,654399,642751,-1,25593,276194,851593,620404,-1,-1,664538,-1,-1,-1,-1,-1,180483,-1,227300,915768,836464,-1,469619,867854,242298,-1,819800,930778,-1,77734,342944,592693,-1,-1,147362,-1,922634,-1,41335,-1,960738,659844,-1,311367,418366,588157,-1,-1,-1,-1,-1,-1,774889,145501,-1,924093,-1,853009,465793,-1,657242,-1,-1,451393,355435,149468,337730,-1,846661,-1,-1,169824,-1,654911,565180,944751,379837,604682,450932,-1,789448,394771,-1,269043,796379,-1,606823,-1,-1,291410,-1,30159,199632,-1,-1,-1,-1,824948,116677,-1,-1,476034,37760,709706,-1,-1,-1,-1,95313,672316,148932,-1,-1,400283,194523,-1,888555,-1,420693,415417,-1,743896,861184,482958,610267,838097,787173,338697,-1,865899,586702,-1,-1,-1,-1,-1,-1,220916,-1,7726,-1,-1,-1,-1,17341,-1,467049,-1,424890,-1,-1,156390,-1,43285,-1,-1,-1,931849,940429,569448,767030,668361,-1,373996,446409,475998,-1,-1,943090,557166,234214,906239,222390,761827,338742,-1,838683,696868,550878,-1,398091,-1,5115,-1,-1,616535,880137,-1,-1,893507,-1,501282,-1,-1,-1,-1,-1,-1,257175,-1,-1,-1,270800,-1,588710,972653,110633,-1,-1,-1,552369,811984,670971,-1,-1,544160,-1,-1,288406,-1,373730,-1,699521,379215,-1,-1,460341,-1,-1,424902,156556,990602,-1,-1,392929,-1,225724,144944,718550,422307,73332,757887,152610,891009,-1,427522,-1,675878,959760,-1,323695,808316,586168,335953,-1,467232,-1,-1,-1,-1,-1,-1,-1,451554,81960,343900,420111,-1,242767,457298,763297,-1,-1,342799,-1,-1,547164,-1,-1,-1,-1,-1,512353,-1,-1,-1,624281,213742,-1,242463,-1,264992,860809,408710,-1,-1,439753,826381,522864,263834,-1,397957,-1,-1,-1,183844,782078,834474,971420,129913,577707,994612,70388,-1,843075,-1,-1,172570,-1,302419,4522,-1,-1,920214,-1,172040,76056,609008,-1,-1,-1,-1,-1,790492,459371,-1,668509,-1,731142,977069,-1,-1,584614,-1,-1,-1,-1,-1,-1,484464,883068,-1,-1,-1,370008,-1,-1,-1,802377,-1,-1,372905,435309,718073,784305,260254,494147,222704,-1,622546,675893,733012,991212,-1,174957,-1,-1,-1,-1,-1,633952,310436,-1,-1,-1,-1,-1,585222,754114,383009,-1,-1,-1,-1,146679,974775,446875,-1,517067,935607,-1,387561,841087,878310,271580,466,861450,-1,982502,-1,603096,447330,149732,441860,-1,291219,-1,-1,645596,-1,755132,-1,-1,-1,24775,-1,493615,877352,814969,-1,-1,-1,-1,274739,487455,-1,431428,-1,617046,862651,-1,228166,-1,-1,-1,-1,-1,626883,-1,-1,-1,750372,-1,-1,739463,-1,621122,-1,475668,5332,-1,795471,-1,468520,612518,-1,358836,224680,-1,322149,-1,799006,789996,428714,433264,-1,-1,-1,-1,880518,-1,851482,-1,611238,-1,-1,-1,-1,511516,163061,928641,239449,958699,-1,-1,691557,-1,-1,-1,833436,780516,774779,798723,916164,-1,-1,-1,-1,879369,592104,316089,-1,979460,269640,92261,-1,637777,-1,848456,-1,95790,250890,-1,-1,-1,859382,770049,394864,933100,218495,-1,822177,179874,370406,949719,-1,609618,-1,-1,-1,891058,489168,797046,838755,189285,471020,441812,-1,-1,-1,-1,441212,-1,394343,858109,-1,492757,-1,-1,178812,807357,-1,527791,-1,-1,-1,-1,-1,808635,-1,-1,759944,527797,-1,166679,422657,13171,28631,173389,543316,-1,585063,808636,383130,918154,-1,340674,-1,-1,-1,-1,-1,-1,468613,-1,-1,-1,425377,824076,-1,675809,-1,970852,-1,-1,220147,-1,629674,-1,965861,744738,60046,-1,646009,-1,-1,-1,117377,-1,-1,-1,-1,-1,-1,516396,774930,-1,-1,402747,769988,874878,795183,116117,177835,910646,-1,781036,204643,297749,395615,626153,-1,808331,-1,726706,-1,-1,295488,733172,149189,248692,-1,-1,-1,-1,-1,-1,-1,489689,-1,754446,-1,-1,-1,582063,-1,511746,-1,-1,691902,-1,993497,-1,-1,360421,98840,-1,477709,-1,-1,611191,594801,-1,893510,835140,-1,270119,341146,677002,132503,593079,-1,-1,390865,72678,-1,-1,-1,656310,-1,131354,-1,-1,-1,317433,294750,-1,-1,270061,-1,247530,16912,-1,-1,-1,-1,795972,-1,20978,-1,731754,320604,136001,572836,247402,937068,515127,742346,486384,-1,806246,-1,887011,852468,-1,214633,-1,-1,-1,-1,-1,836598,-1,-1,-1,-1,936274,449240,465549,997149,-1,640602,-1,-1,343603,351917,-1,7462,259875,310675,-1,252945,829141,-1,-1,-1,548293,-1,-1,-1,588105,840205,189589,575077,685366,495151,-1,521728,760006,-1,767375,154410,-1,-1,-1,492130,564951,334254,-1,-1,479178,992056,312361,-1,348779,-1,154632,245297,-1,835729,-1,-1,-1,-1,-1,-1,100210,452545,-1,-1,-1,471038,701452,-1,-1,-1,374445,248704,-1,165441,-1,12515,-1,606803,-1,228217,553887,-1,-1,851541,602885,905934,544123,413379,-1,-1,85140,397151,572673,560799,-1,337650,29492,-1,967139,935191,87874,682345,314171,-1,-1,-1,-1,293098,-1,-1,-1,-1,578342,-1,364259,254910,-1,843732,-1,852341,-1,709902,-1,-1,-1,922337,729954,-1,-1,56249,626729,782137,-1,-1,685204,749586,-1,-1,-1,148192,590059,893683,846816,-1,-1,-1,-1,-1,-1,260250,135369,-1,-1,642259,895539,96116,-1,597758,850533,719408,-1,-1,872015,660147,152850,305256,697645,-1,-1,-1,236358,369634,-1,-1,685514,-1,-1,-1,-1,142682,940991,462986,-1,561554,581696,-1,-1,866934,-1,-1,-1,21122,-1,-1,125721,-1,989915,659428,263952,200989,-1,673005,319015,398214,944817,803367,727092,960563,251210,973573,-1,-1,-1,-1,178886,892770,838456,405543,608330,354667,261427,-1,-1,82743,-1,311712,-1,-1,69231,-1,771379,91717,-1,809403,370069,920109,-1,318020,897024,824781,-1,-1,413672,-1,768985,816148,-1,-1,-1,302463,540212,-1,285813,560656,-1,-1,-1,968033,-1,-1,-1,-1,-1,636946,-1,634949,-1,-1,-1,-1,-1,-1,-1,423346,623561,406018,942678,836044,-1,-1,269794,-1,-1,625784,967265,724883,-1,-1,-1,-1,196770,539974,-1,-1,115422,-1,-1,993481,-1,-1,-1,230678,368239,-1,46433,-1,271989,-1,-1,228545,-1,-1,38519,432398,595773,-1,741417,-1,771559,-1,-1,-1,-1,278218,-1,-1,401586,-1,759839,344948,403840,538687,-1,750482,-1,-1,-1,-1,886169,-1,-1,-1,-1,993041,-1,-1,-1,-1,793424,354293,-1,-1,287828,-1,-1,38126,-1,827429,301634,300748,476156,-1,723784,813424,820810,-1,-1,-1,231200,713043,148642,141821,-1,-1,-1,80099,895264,-1,-1,936643,374477,551986,-1,-1,-1,-1,-1,-1,545508,-1,141305,-1,489214,427223,544469,329892,540984,285413,-1,958995,589959,-1,-1,336504,722840,-1,-1,-1,609790,-1,286840,-1,729601,106581,-1,603296,962025,-1,670680,-1,829214,-1,332884,219614,197434,19894,805321,820747,209404,-1,-1,422084,997407,754591,-1,-1,48576,-1,824143,-1,-1,21815,-1,-1,320075,-1,85038,6532,-1,-1,303479,-1,-1,-1,627266,650853,-1,-1,-1,315236,335674,-1,568418,-1,311183,871196,-1,-1,-1,310933,115860,997657,188733,-1,533993,984659,357857,-1,552461,49302,-1,210340,-1,-1,-1,915740,-1,384991,379158,-1,-1,-1,-1,935228,916875,232738,-1,-1,638025,-1,149558,973840,394813,-1,147701,-1,-1,-1,409451,817882,676417,451081,404518,394282,727041,723857,725814,-1,716165,403858,-1,-1,833903,-1,-1,-1,-1,-1,-1,450094,-1,593665,72165,-1,-1,-1,759437,553046,116033,-1,763669,-1,-1,313333,-1,-1,-1,-1,548261,875139,707566,-1,352015,-1,823916,-1,-1,-1,201721,-1,-1,-1,-1,742213,202823,129081,239298,-1,-1,796345,961755,522702,-1,501230,592190,790271,-1,-1,744230,115100,60449,-1,768729,505608,266032,285858,-1,245364,811082,-1,30944,147106,29843,-1,642659,656051,29210,-1,378006,284966,-1,-1,68702,600120,-1,-1,580738,-1,794308,-1,862746,-1,86019,-1,-1,-1,121427,-1,874976,-1,299353,382857,411876,678048,611999,-1,944802,-1,736078,-1,731652,-1,-1,452151,-1,-1,-1,646103,498480,-1,189546,179201,370152,-1,-1,67188,-1,133118,-1,-1,644884,487854,-1,815908,-1,556102,-1,828061,-1,687027,-1,-1,975751,-1,377100,448367,-1,-1,777961,124507,-1,214038,-1,-1,188258,799332,-1,-1,-1,838804,-1,-1,579914,-1,-1,-1,743232,-1,505384,681760,192394,-1,627739,526962,-1,657727,947174,457754,530009,-1,-1,753374,-1,-1,430920,-1,696769,193223,-1,-1,-1,636100,841796,56729,240224,-1,769218,-1,-1,-1,713052,-1,-1,-1,976404,805134,-1,-1,204305,939583,-1,-1,19566,-1,555670,811861,-1,858609,-1,238123,805170,144251,595781,-1,-1,136600,-1,196938,710811,424579,647998,-1,-1,531290,300356,628505,133108,-1,-1,-1,-1,-1,358386,829453,142489,97004,-1,-1,-1,-1,127749,-1,-1,597686,824077,883627,238549,-1,-1,-1,556969,-1,567054,169997,-1,-1,-1,-1,245367,-1,70145,-1,412358,733789,446459,-1,-1,823066,-1,-1,605779,-1,29479,57338,-1,986188,348663,-1,-1,-1,995754,406641,352265,42463,-1,774737,-1,793688,529684,38002,722651,612448,-1,-1,-1,974842,29808,-1,-1,-1,370486,135546,778686,85584,623916,557711,379507,504211,-1,-1,614088,-1,-1,695161,792455,897962,517650,-1,814703,-1,-1,425757,809259,412028,-1,-1,-1,-1,-1,-1,718269,968844,777437,-1,918787,55595,-1,-1,191946,-1,38473,-1,281829,-1,411775,-1,551465,-1,-1,-1,85929,182253,90396,-1,-1,-1,299588,-1,-1,-1,-1,-1,-1,-1,-1,-1,55153,-1,-1,-1,78413,750437,742255,-1,512817,685263,234938,-1,-1,-1,-1,-1,568253,-1,967377,-1,911878,-1,-1,29268,203540,284552,604242,-1,-1,507944,114881,-1,-1,184228,845046,781790,-1,862838,-1,-1,-1,741625,-1,591939,763190,-1,919215,883390,-1,-1,-1,366123,229570,-1,430095,-1,-1,311007,-1,-1,-1,-1,137910,3728,593064,363611,-1,-1,-1,-1,463716,-1,667294,-1,-1,468983,747228,-1,620953,-1,-1,-1,-1,-1,-1,-1,-1,173375,-1,-1,-1,111316,176000,-1,-1,-1,-1,175760,795293,-1,-1,-1,62117,-1,-1,-1,-1,-1,-1,-1,-1,827252,212555,15630,-1,-1,-1,-1,-1,584321,-1,535559,-1,-1,-1,-1,747018,-1,-1,492999,-1,480854,-1,-1,-1,-1,-1,-1,-1,-1,-1,485033,-1,124232,273660,161878,975266,468292,161048,772896,-1,971715,-1,-1,388074,333785,-1,-1,-1,-1,-1,244528,397020,-1,887241,468224,-1,-1,869353,-1,65667,649882,311014,50304,-1,887795,-1,839329,-1,-1,-1,-1,895570,652789,809762,-1,728033,123472,-1,324365,611103,-1,438576,441379,-1,45449,-1,221093,400741,-1,455555,-1,-1,-1,700728,590391,-1,-1,-1,-1,460424,354190,597420,-1,-1,675408,317792,-1,806935,-1,-1,550298,-1,585177,300296,555404,8547,-1,994049,925941,16936,-1,756867,-1,-1,381403,-1,657283,852678,967622,421406,-1,175111,198892,-1,104219,-1,-1,422183,-1,-1,-1,-1,-1,91435,832326,653622,-1,-1,144626,-1,-1,-1,265795,358879,771828,-1,863859,-1,-1,2526,939246,465314,-1,-1,-1,-1,840280,-1,-1,375125,452173,-1,873604,746812,-1,471818,522588,-1,-1,-1,-1,687178,94844,-1,248112,-1,846691,-1,205408,-1,-1,567168,-1,-1,251463,74310,-1,217888,504970,-1,-1,-1,266808,258580,-1,-1,319544,-1,-1,707123,302930,-1,-1,-1,-1,-1,28090,-1,-1,-1,-1,841316,180267,616113,288772,862632,-1,-1,228547,391470,-1,366589,-1,644255,-1,671038,696917,651381,581398,842914,-1,95861,948930,241498,249983,-1,-1,211717,-1,170523,276520,-1,55665,-1,-1,-1,-1,-1,973171,-1,40148,-1,-1,590648,142465,-1,525381,258220,-1,-1,623124,855501,955695,759888,626548,-1,-1,856011,312765,449722,206924,336965,234995,-1,253407,-1,-1,1261,699996,180973,-1,746950,970449,-1,192997,-1,903255,718009,792668,-1,138639,966972,920818,-1,44613,-1,649983,-1,-1,-1,674021,-1,464022,-1,510738,704460,718208,491543,418504,820566,-1,-1,-1,803331,-1,148376,69336,-1,-1,569701,538641,-1,44123,-1,-1,-1,-1,622699,876103,-1,-1,417252,416623,-1,564088,252462,886451,-1,-1,896991,112932,-1,243693,326592,779091,226950,-1,-1,-1,-1,649069,-1,625452,-1,266411,-1,-1,435686,427372,-1,9168,902066,-1,-1,-1,-1,-1,158620,829980,-1,829311,530011,90576,-1,385234,94504,563133,-1,-1,430543,480639,-1,-1,416706,103858,472197,-1,-1,-1,819317,205519,-1,247242,-1,909380,-1,73366,525254,915937,796949,352551,531748,-1,-1,-1,202815,-1,-1,-1,-1,906364,-1,31439,780052,-1,-1,-1,-1,-1,-1,809382,-1,-1,-1,-1,316473,462581,24844,-1,413955,426780,-1,947602,-1,674859,105382,-1,-1,44371,-1,245542,830788,646493,-1,355809,-1,397047,-1,974293,158921,49419,811519,-1,-1,-1,-1,-1,-1,-1,16514,-1,688986,-1,-1,-1,893879,841877,932972,219403,901835,1125,-1,-1,-1,785411,560566,-1,-1,462273,966290,735096,-1,-1,941370,-1,755483,407138,430614,991344,131143,54958,-1,-1,982406,-1,-1,137618,-1,-1,-1,519999,-1,108553,726453,-1,497466,610755,327595,-1,-1,106528,790818,-1,-1,-1,-1,-1,-1,706907,-1,585569,94452,557008,527505,188379,-1,882728,-1,-1,-1,-1,-1,228729,815607,-1,-1,-1,3859,-1,399110,-1,523307,-1,-1,-1,228282,-1,-1,389032,634489,-1,786250,-1,-1,-1,326189,760097,828867,259099,953420,13964,-1,-1,832344,718563,-1,-1,-1,296863,730671,715667,-1,452351,737054,554844,160556,27745,-1,628754,-1,73605,-1,-1,439650,-1,-1,134211,15037,-1,-1,-1,709436,-1,-1,66392,-1,-1,323052,-1,420737,-1,635839,-1,636489,85888,-1,531590,-1,-1,-1,193332,-1,994594,-1,-1,-1,-1,362829,682428,-1,110473,-1,-1,-1,-1,-1,356571,-1,-1,-1,-1,932110,719082,-1,-1,742296,350469,-1,-1,933930,-1,-1,46083,-1,-1,-1,960534,580692,-1,-1,-1,-1,-1,-1,491499,-1,858424,641451,118817,-1,-1,362155,-1,-1,-1,-1,-1,748247,-1,-1,877729,-1,940949,-1,-1,-1,909526,656864,-1,-1,332630,25349,-1,-1,-1,-1,181528,-1,723671,-1,976459,-1,414034,-1,-1,-1,171013,-1,-1,-1,-1,320818,479116,555789,16588,929974,-1,-1,-1,-1,-1,-1,327804,-1,-1,-1,30691,868961,894175,-1,-1,318297,-1,120011,303037,-1,453528,291332,236286,862568,997941,872348,489456,156920,-1,-1,-1,816797,948993,163649,-1,-1,415129,-1,-1,269147,839803,-1,214646,606735,102796,238727,273945,26148,-1,576917,721079,-1,89924,921216,-1,-1,930732,-1,-1,350724,-1,-1,6345,-1,597595,282712,-1,759989,494916,387786,-1,828213,781840,-1,902634,282216,-1,431884,-1,-1,-1,681341,-1,-1,834407,-1,188581,-1,-1,-1,467921,-1,-1,-1,-1,-1,-1,324452,-1,-1,803655,-1,230313,41618,-1,-1,-1,-1,-1,-1,-1,392874,445079,-1,963406,406931,-1,-1,518237,-1,-1,818283,-1,767743,555751,916565,-1,125944,650409,-1,237019,-1,204677,418383,-1,-1,259844,948344,273123,-1,809433,-1,811637,-1,-1,182746,501250,-1,831272,-1,277650,-1,369603,-1,92043,-1,602747,-1,-1,910304,671410,-1,-1,-1,404430,89072,658423,244382,-1,304003,29859,-1,655599,242770,-1,-1,-1,661007,-1,99746,-1,113833,13706,632452,-1,-1,-1,659293,807904,828261,432968,-1,-1,-1,-1,366647,-1,-1,185478,251354,17655,-1,-1,516355,107548,-1,-1,-1,92548,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,693633,754803,82307,281382,896581,89097,-1,-1,601008,-1,-1,735836,10196,-1,66720,694365,6794,-1,773058,228627,988861,499345,713218,-1,-1,669694,41429,750569,515130,480365,700554,274429,849620,737606,-1,-1,-1,-1,-1,234655,385002,244107,228214,167716,-1,-1,62716,736987,-1,496212,-1,-1,-1,-1,485537,-1,-1,-1,653999,-1,909678,-1,-1,-1,-1,293409,-1,734882,-1,36203,-1,492507,354619,-1,203183,-1,-1,-1,-1,-1,-1,47081,-1,-1,192712,-1,240364,-1,228626,-1,-1,-1,-1,93123,595409,-1,-1,245179,91000,-1,778410,-1,-1,639745,91309,-1,-1,735588,261078,942545,251170,489140,-1,-1,-1,-1,719386,760941,464441,916327,65482,-1,-1,-1,269537,-1,295657,438714,-1,-1,-1,-1,626109,-1,362433,-1,-1,-1,572429,450195,827016,459843,267862,-1,851648,-1,846904,-1,-1,120561,-1,-1,415427,508548,-1,328942,402967,-1,-1,-1,-1,727024,-1,924305,-1,-1,-1,902551,-1,660363,928822,58623,620688,-1,-1,-1,472242,455105,693075,-1,580837,-1,471878,577363,-1,-1,808933,-1,-1,441712,58540,-1,-1,511716,551518,-1,-1,-1,35217,-1,-1,-1,900572,-1,-1,318971,-1,153039,-1,-1,871665,26083,687508,-1,-1,714475,-1,760009,767282,791848,-1,-1,-1,-1,-1,375377,-1,578462,655858,-1,-1,-1,-1,-1,-1,169980,332997,-1,-1,940253,386939,-1,696029,92546,750996,253048,-1,918559,-1,157664,-1,-1,-1,-1,-1,45669,-1,-1,296272,175924,750365,-1,-1,198577,944612,632919,-1,-1,-1,512583,802486,-1,-1,733903,177452,-1,-1,349591,80883,-1,-1,-1,-1,612313,652987,-1,-1,-1,676300,670778,262787,-1,-1,281660,40342,-1,-1,338786,173543,204336,-1,511545,176924,-1,566824,-1,-1,304435,161010,824393,-1,891334,792670,-1,-1,-1,476236,-1,608661,368908,-1,-1,488388,406564,-1,663180,-1,419138,-1,961606,-1,500842,746763,-1,272235,-1,-1,-1,-1,-1,-1,-1,-1,-1,667276,-1,273153,836082,-1,61202,837490,-1,-1,-1,-1,-1,-1,-1,871796,-1,595245,809652,-1,611228,649361,512465,372126,-1,-1,-1,-1,81752,764781,873772,102991,-1,231157,905565,-1,277847,752898,-1,724433,168091,773349,305475,-1,-1,592067,663146,799282,-1,-1,185827,-1,-1,192254,923129,-1,-1,304778,515157,-1,-1,-1,-1,992322,-1,-1,97772,-1,-1,325343,-1,631905,-1,-1,287193,812441,-1,-1,-1,828760,-1,54883,355228,725370,809796,-1,-1,276220,-1,306290,-1,665432,697668,498294,662220,-1,-1,926000,-1,633016,640935,-1,-1,-1,152012,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,658408,671000,-1,979533,-1,60854,304329,463758,264116,-1,638288,-1,959660,-1,426408,-1,-1,-1,-1,69707,194145,-1,-1,-1,-1,-1,777769,764978,-1,-1,-1,-1,493146,557645,315426,-1,-1,819388,258881,-1,-1,750377,-1,25723,1498,925104,903800,-1,391074,465960,-1,223088,294066,87157,975892,908719,664369,-1,-1,-1,421021,-1,130332,-1,-1,710912,732615,61035,537042,985425,-1,-1,15900,565287,-1,-1,-1,924209,801459,-1,33956,729774,-1,775422,-1,846443,-1,-1,479791,-1,-1,-1,-1,171109,-1,-1,-1,-1,508022,272536,-1,389364,-1,-1,187526,412227,722185,-1,-1,-1,-1,-1,554669,-1,538851,-1,-1,-1,409576,-1,923854,-1,-1,120436,745314,359857,207183,97404,466077,697406,-1,-1,715328,-1,-1,-1,764857,985760,-1,-1,-1,-1,-1,322073,971353,449907,-1,494165,-1,501912,-1,-1,-1,-1,639965,37597,-1,657316,696444,-1,495701,-1,-1,-1,409235,-1,-1,671634,2185,925310,39342,-1,28804,-1,64341,-1,373923,464715,580312,-1,743399,-1,-1,929750,-1,532213,-1,620527,364975,-1,-1,394681,886601,464424,-1,55110,-1,791469,329793,711616,606478,198193,-1,-1,-1,148568,-1,62221,19274,-1,936819,-1,383987,257703,-1,906853,333733,-1,-1,-1,601571,-1,-1,561527,-1,969483,-1,526865,243576,116782,-1,-1,-1,-1,-1,-1,398466,-1,215657,995307,593894,-1,155344,233020,-1,-1,-1,342745,-1,593418,437081,-1,456447,-1,198428,727458,-1,172231,-1,-1,-1,-1,-1,58754,-1,-1,-1,76971,228342,-1,259914,-1,-1,-1,-1,-1,-1,-1,-1,540935,-1,-1,806047,-1,305440,-1,836877,-1,-1,753555,98281,564013,431129,640931,628890,772165,-1,-1,205581,-1,353471,-1,-1,40997,-1,349716,-1,350535,-1,909519,831719,175023,938182,-1,-1,222237,424837,-1,-1,-1,774729,-1,715869,-1,-1,752582,208512,-1,-1,750612,-1,-1,-1,-1,65151,706332,569045,-1,-1,-1,266999,451221,201734,724948,691253,738355,-1,-1,-1,-1,183554,-1,627872,813267,733370,-1,-1,-1,595242,809366,979871,-1,-1,-1,-1,6284,205789,642001,709613,-1,-1,-1,-1,968968,-1,129732,985148,-1,588572,431054,-1,-1,-1,-1,-1,976220,340023,46119,-1,-1,692110,565067,391656,-1,-1,871401,99947,-1,87483,527129,-1,-1,-1,733213,-1,-1,450743,-1,316983,664877,782542,-1,-1,-1,-1,378690,615086,936829,451858,-1,486605,587905,552658,-1,-1,-1,974872,678445,118851,473407,-1,-1,-1,-1,565107,551556,416440,896017,537289,57555,-1,615927,-1,84187,740682,760667,437353,-1,193975,815906,-1,-1,-1,-1,662563,214164,-1,30872,-1,-1,-1,-1,762265,535871,-1,58482,-1,387389,137610,-1,-1,-1,-1,-1,993221,138044,110280,898367,254711,-1,757869,921489,-1,-1,-1,-1,-1,-1,890299,823243,-1,-1,-1,-1,-1,-1,-1,889667,966230,275115,468913,-1,496801,-1,136539,-1,909097,-1,-1,-1,-1,848999,303537,-1,318504,390158,-1,-1,420559,-1,-1,37410,-1,977683,-1,-1,884160,108669,-1,-1,-1,-1,156659,-1,-1,-1,-1,-1,270531,219962,-1,857472,-1,-1,39447,-1,-1,-1,-1,-1,333011,437500,-1,-1,-1,742234,-1,44547,-1,-1,154613,-1,122996,-1,-1,818921,864529,158177,545248,-1,-1,738039,-1,-1,532015,-1,-1,225530,-1,-1,-1,-1,88942,-1,961056,-1,-1,-1,44954,320483,685130,-1,151026,-1,-1,-1,576981,-1,947387,-1,-1,195528,990174,751209,-1,-1,683116,-1,-1,-1,-1,147080,-1,933019,-1,477403,-1,44423,-1,908190,-1,-1,115532,927479,-1,-1,442263,-1,-1,153669,646553,911351,-1,779564,-1,-1,933413,385548,-1,664481,-1,-1,-1,-1,951030,-1,-1,-1,430060,838341,532198,-1,-1,106690,-1,875961,694656,-1,-1,929265,-1,-1,-1,-1,-1,-1,315973,370197,-1,-1,-1,-1,737911,-1,993703,646487,664317,-1,887522,407554,781636,817798,111341,953785,345866,-1,-1,373065,-1,772204,-1,242850,496055,701859,462693,-1,364551,427673,43481,-1,-1,307906,873222,632956,-1,751813,634413,-1,-1,807444,-1,-1,96398,-1,653468,233778,-1,-1,-1,-1,722165,954294,-1,-1,-1,505948,772839,-1,-1,385826,437627,427104,612811,173401,-1,-1,-1,-1,-1,-1,-1,873442,-1,-1,-1,-1,73798,308164,-1,-1,263463,-1,-1,-1,28186,-1,-1,674963,382228,-1,-1,-1,-1,75537,445817,19599,-1,-1,448044,596070,-1,587306,175089,592977,492635,-1,286132,-1,796037,593762,-1,-1,-1,258626,-1,974685,877428,229775,176329,-1,-1,40640,-1,544147,-1,841889,399836,-1,-1,666818,329999,-1,961560,-1,-1,912329,-1,-1,-1,451217,515850,62875,-1,253744,-1,-1,-1,320066,676848,349601,-1,-1,395075,810101,-1,-1,-1,152596,146013,-1,739873,-1,860538,989540,602683,138914,-1,584992,557090,-1,248303,977009,-1,-1,644432,-1,633138,460404,-1,104684,132445,-1,414770,-1,667218,870365,-1,-1,-1,-1,-1,-1,-1,993402,369812,-1,651951,-1,-1,917251,821966,-1,696539,-1,291949,-1,797441,-1,-1,602773,-1,457158,600138,236561,10253,-1,239405,612308,-1,-1,-1,-1,855179,443639,-1,-1,231757,743472,175759,45297,-1,-1,-1,523749,-1,466591,-1,-1,-1,334142,214588,821343,-1,-1,293197,306072,-1,590560,-1,-1,-1,-1,742543,-1,-1,-1,-1,-1,492752,-1,-1,-1,964893,548723,815380,267596,988409,760521,-1,54655,821394,-1,65759,-1,540536,624339,506616,-1,524598,143991,-1,-1,857644,-1,824987,791805,-1,327775,-1,697756,107490,-1,-1,-1,-1,-1,-1,-1,-1,59828,-1,684205,-1,-1,-1,880381,-1,-1,-1,-1,218933,-1,819906,-1,-1,-1,895432,372117,850929,610218,-1,555051,-1,-1,365947,-1,-1,543397,336007,-1,-1,-1,218794,305337,-1,-1,391738,-1,-1,-1,-1,-1,707409,-1,-1,-1,841341,375214,-1,789258,-1,-1,-1,549067,280183,703317,-1,-1,209299,-1,819114,-1,771177,87961,208996,-1,-1,585259,-1,-1,-1,449512,-1,-1,375809,-1,-1,-1,513991,-1,602775,772590,541351,-1,729777,209515,-1,-1,866376,818173,-1,418556,300360,795035,-1,-1,-1,-1,-1,243481,144972,-1,96517,281690,-1,-1,882023,-1,-1,-1,570251,-1,940366,-1,247254,-1,951898,2680,-1,-1,-1,980313,427705,-1,-1,-1,-1,537784,250043,263415,-1,-1,114074,-1,290097,-1,731171,-1,-1,-1,83498,-1,-1,-1,747002,235938,837855,-1,419461,-1,277201,-1,-1,-1,638452,902879,749084,-1,914538,24799,-1,627820,346810,-1,653054,-1,492379,-1,-1,-1,-1,-1,-1,-1,-1,-1,815112,-1,-1,873349,-1,401728,948327,918092,-1,-1,-1,786946,-1,848470,144236,967182,303937,-1,231699,314790,-1,816740,-1,638597,-1,-1,-1,-1,455108,559332,-1,854281,-1,-1,240787,967218,510529,-1,-1,723753,665096,-1,-1,-1,831430,-1,323473,561143,439089,-1,-1,424260,35276,-1,425178,965565,508851,89464,605827,336460,-1,-1,-1,-1,474893,-1,705208,86502,-1,-1,763073,-1,-1,-1,-1,-1,384320,151641,-1,-1,783287,-1,-1,-1,-1,-1,-1,-1,949305,576263,-1,650823,-1,719958,-1,-1,-1,236985,549842,-1,-1,659765,217580,-1,-1,72504,-1,517290,-1,-1,-1,-1,318107,756340,-1,-1,123207,-1,-1,992380,-1,-1,595779,-1,984455,549314,-1,-1,-1,303485,-1,244842,991868,257549,475209,604218,627784,940146,-1,-1,873652,875955,457514,-1,-1,30020,699016,922031,-1,185073,-1,-1,526051,79040,-1,382204,-1,544355,-1,-1,712138,153401,-1,256886,-1,-1,-1,-1,707269,-1,-1,271232,717462,-1,92529,286558,408110,-1,-1,-1,402315,-1,-1,-1,-1,906892,106430,774300,-1,-1,-1,298121,-1,-1,997196,203018,542086,191725,776378,787949,-1,95562,274824,-1,-1,-1,-1,821733,-1,625540,-1,-1,378163,-1,-1,-1,949755,-1,697678,-1,-1,141318,-1,40223,-1,-1,718535,639168,-1,-1,103582,513949,-1,315194,-1,-1,800781,650643,420266,-1,922318,356227,531325,-1,-1,601519,-1,726723,350433,-1,825843,83698,-1,-1,-1,-1,537011,467422,-1,-1,-1,224171,-1,-1,329671,-1,777890,-1,718432,-1,-1,562858,-1,377678,976196,616129,-1,-1,583078,669878,341480,-1,267158,-1,844259,3765,-1,-1,-1,553791,148228,-1,-1,80289,-1,-1,-1,-1,942997,266666,-1,460192,468820,148831,-1,779782,-1,373995,936245,201774,804802,-1,-1,-1,651143,-1,-1,411184,934508,-1,-1,56357,-1,521354,898254,-1,-1,146584,-1,-1,104776,-1,-1,171308,-1,-1,-1,-1,-1,-1,-1,27096,685549,-1,-1,-1,660639,-1,976204,75000,528476,-1,7189,698220,47214,274170,909357,-1,-1,-1,488041,890075,-1,900550,-1,641622,-1,-1,290359,613105,-1,-1,-1,659404,-1,-1,-1,340537,-1,465278,700665,815687,-1,172202,349535,276121,-1,957383,707721,941989,-1,-1,-1,164280,-1,528000,911466,155853,977551,-1,236086,441630,219707,203236,726091,318610,-1,364465,-1,118862,-1,488554,315480,-1,-1,880953,116000,-1,708078,-1,608406,577530,-1,578673,556583,-1,770840,-1,-1,-1,372774,301349,694421,-1,949431,-1,-1,464283,149622,-1,782080,232421,178587,443182,178318,6561,993053,863805,585012,-1,-1,-1,295728,599627,-1,419912,-1,-1,744621,-1,273435,526210,924025,989444,919250,-1,872489,-1,-1,306838,-1,742397,-1,279263,-1,500535,-1,575622,-1,-1,300233,158909,714932,835930,-1,711322,-1,-1,-1,-1,-1,991511,918579,-1,312944,793059,-1,757139,154353,-1,245710,976974,-1,-1,339323,816947,-1,991557,-1,-1,-1,561855,-1,-1,337257,430308,-1,359496,921190,-1,-1,-1,715090,296874,699861,-1,-1,746330,-1,-1,923047,-1,509245,661451,-1,583687,-1,270826,381996,-1,-1,303114,-1,-1,748441,-1,-1,-1,-1,-1,-1,786788,227617,580,-1,980489,-1,-1,-1,421008,-1,-1,868331,-1,600072,-1,-1,-1,969012,-1,292485,272827,425221,135222,-1,928682,36661,-1,516509,294936,168305,38142,-1,527953,512551,534424,843420,-1,-1,-1,-1,940396,-1,378797,627515,11603,-1,523734,131638,1554,-1,463944,-1,-1,788599,-1,-1,992466,-1,-1,-1,881836,485591,-1,655444,-1,-1,439873,-1,-1,-1,-1,-1,-1,-1,376720,-1,8840,968863,345417,773626,-1,322701,-1,-1,656227,-1,-1,64058,800761,-1,-1,-1,803754,184210,502138,-1,-1,-1,98299,31911,-1,891282,252818,-1,-1,-1,569420,-1,82978,637109,-1,408332,503663,220459,-1,-1,967425,519669,467299,-1,-1,-1,-1,344247,-1,677595,916595,742614,711220,690845,-1,-1,-1,426131,966531,140416,-1,679285,398582,350761,360840,551496,-1,-1,-1,986828,-1,713424,-1,444322,-1,-1,660316,-1,339949,914801,662738,593331,-1,-1,-1,-1,13003,-1,123904,-1,-1,-1,999722,-1,111067,704707,-1,-1,-1,21008,612078,515575,595499,251577,795739,-1,-1,963993,251894,-1,874023,-1,67851,721533,-1,-1,160878,802314,-1,-1,600101,285428,421523,686286,576902,-1,802257,370771,584289,-1,-1,464211,-1,-1,855330,649459,-1,881254,-1,837156,-1,-1,25977,-1,609386,-1,-1,-1,-1,-1,-1,812295,769968,266405,-1,-1,493014,42242,927236,-1,311684,-1,-1,-1,827048,-1,-1,485987,-1,-1,62719,-1,-1,-1,396891,-1,-1,62295,679640,465328,-1,-1,494675,534470,-1,547699,-1,-1,539897,826555,890347,-1,977647,-1,276062,922956,234881,-1,133223,245436,135982,164840,-1,87972,-1,-1,569753,-1,-1,944256,-1,-1,-1,556961,464982,715596,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,447541,79074,452278,75809,730006,-1,467619,807098,880474,11190,466017,56356,498240,65265,672912,-1,-1,281797,-1,-1,688829,-1,-1,324085,-1,-1,-1,-1,-1,-1,658467,271656,-1,719153,-1,-1,-1,689967,422365,624358,-1,-1,60868,-1,-1,-1,945388,-1,-1,-1,-1,-1,946488,546238,-1,-1,241056,-1,690448,240978,809564,-1,-1,-1,-1,876901,-1,-1,114855,343302,561469,71147,-1,-1,-1,768677,633389,-1,-1,348996,-1,769386,961018,685879,833103,743914,-1,838773,336126,41389,825251,257074,134504,45301,367563,-1,807738,618479,298150,275645,814126,64734,-1,-1,-1,-1,244877,-1,-1,51499,730676,-1,-1,-1,-1,880770,-1,998510,-1,-1,40205,654069,-1,701801,-1,45757,-1,-1,-1,122357,-1,-1,172838,-1,-1,-1,-1,-1,-1,734242,212794,-1,802448,816788,469230,819404,-1,-1,522549,958070,-1,-1,820920,9623,-1,-1,-1,845670,498720,312812,-1,-1,-1,-1,65399,-1,-1,540309,202675,601113,-1,-1,602818,-1,-1,420299,297616,756716,-1,-1,-1,318830,300078,494633,710109,-1,-1,-1,-1,916131,404809,198352,-1,797479,-1,318720,-1,-1,799116,-1,-1,-1,70779,-1,-1,302916,-1,155208,967632,983375,-1,-1,876390,397454,247877,-1,398367,-1,-1,534272,520352,-1,85303,907673,618015,-1,310048,158846,777404,-1,327014,-1,-1,-1,64212,-1,936247,661075,-1,-1,-1,305067,-1,-1,-1,-1,114948,59261,58783,824294,7738,167684,653858,878961,-1,968159,-1,227062,-1,-1,512813,-1,-1,734249,-1,821534,-1,600706,89382,429797,705568,757699,184365,-1,-1,174034,-1,-1,-1,-1,-1,922073,-1,168803,-1,-1,807175,-1,-1,-1,809015,649890,307947,-1,-1,566156,369549,-1,213301,-1,141112,964532,388566,313216,-1,126047,-1,989467,-1,354084,405531,407607,-1,488147,-1,719515,400612,945748,-1,-1,622132,-1,785300,129530,-1,-1,762420,-1,196403,94816,465729,-1,784156,-1,501192,876295,-1,-1,250949,487341,156547,-1,384014,431665,570495,263288,258897,-1,569366,-1,-1,329472,-1,525830,117720,-1,-1,-1,-1,-1,-1,946907,-1,803856,-1,-1,830549,-1,547624,-1,766692,616449,934207,-1,-1,-1,666123,71292,-1,-1,883287,910900,167948,823498,-1,393146,-1,745841,-1,920000,281297,127240,-1,-1,-1,361830,326681,-1,361387,-1,621651,-1,-1,90030,-1,622839,904997,707954,-1,574669,820616,800005,69803,-1,879453,-1,-1,-1,-1,-1,-1,-1,593133,882280,711017,664361,-1,-1,205590,-1,231335,-1,241078,683334,-1,211444,-1,-1,-1,625462,620288,-1,822579,-1,163828,135693,74752,-1,76866,-1,475220,679687,-1,56735,-1,857028,-1,315987,-1,873553,716587,932507,162498,-1,-1,-1,439474,235350,343257,-1,-1,-1,355976,-1,-1,-1,571334,876163,732541,-1,491623,-1,-1,-1,-1,228353,-1,-1,-1,529912,-1,-1,387518,-1,-1,-1,-1,972692,407509,-1,860642,-1,-1,438464,-1,-1,159309,-1,155102,931452,-1,-1,-1,358437,162049,-1,-1,889992,346863,192917,-1,674117,-1,-1,-1,424222,-1,241579,142407,-1,651238,653110,-1,874141,568446,742339,-1,-1,131251,-1,-1,-1,213768,91263,-1,875924,-1,456058,-1,-1,203335,-1,91237,28543,159914,217814,293065,512195,-1,-1,680084,709701,958665,-1,297682,-1,-1,-1,487520,652514,956899,442603,754875,55197,120752,349726,-1,251681,-1,15428,904627,-1,932509,-1,-1,584165,-1,-1,-1,-1,-1,-1,428840,-1,-1,-1,697528,-1,462186,-1,-1,103914,-1,-1,-1,212005,-1,-1,-1,64259,-1,-1,-1,-1,104700,675511,-1,-1,532961,745567,908176,760083,-1,-1,-1,443774,941025,958188,537286,597057,-1,689683,748880,408621,492545,-1,-1,150884,-1,193647,464288,142253,23565,397040,-1,932104,-1,702580,-1,478952,286021,588476,-1,97832,89921,914540,-1,875082,819685,244347,-1,263129,-1,489810,790551,-1,185392,-1,-1,-1,-1,533294,674128,-1,-1,-1,773770,-1,903816,633985,101803,298918,791618,-1,-1,-1,5108,-1,-1,-1,732098,421841,-1,-1,-1,320453,815943,114360,-1,-1,-1,-1,636171,-1,100654,-1,-1,728428,513199,171309,560146,-1,-1,-1,-1,-1,-1,-1,972503,950886,-1,-1,-1,-1,-1,751257,223376,93276,-1,-1,-1,-1,-1,759375,153931,-1,712983,-1,-1,34812,-1,105423,331619,-1,883598,-1,-1,148353,454896,41680,-1,-1,413209,369432,604110,526510,51519,-1,-1,364184,-1,-1,256634,987709,-1,-1,41681,334073,571853,-1,-1,-1,-1,523256,-1,274800,615664,40741,302895,-1,201581,-1,550825,393082,-1,500223,-1,-1,631309,50369,126550,871033,-1,-1,563201,-1,206334,-1,745320,378742,-1,576060,973515,771323,-1,494373,800367,-1,-1,327639,752692,-1,-1,-1,-1,510817,997422,-1,840472,-1,-1,-1,-1,76711,-1,-1,-1,621191,-1,-1,-1,734156,292018,998325,812566,265832,662380,-1,-1,942837,107114,-1,-1,-1,347745,675140,750882,999928,410704,-1,-1,-1,810808,-1,-1,85977,-1,-1,-1,-1,-1,-1,120442,-1,372680,521691,-1,493407,-1,-1,-1,-1,750704,-1,-1,599499,224183,-1,135964,447100,-1,636953,556522,877156,884394,-1,950348,-1,-1,-1,-1,870145,269549,683775,346484,-1,-1,-1,-1,-1,878661,651431,-1,-1,-1,731381,-1,889378,171210,-1,188366,-1,451266,-1,249690,-1,886770,-1,-1,448153,981264,-1,897700,-1,600484,595229,-1,-1,123841,-1,238773,-1,-1,291665,546261,-1,-1,102113,870301,805577,314460,238525,-1,-1,107653,-1,-1,869219,-1,470545,213770,-1,-1,-1,637153,554319,890876,-1,226309,562022,-1,629929,-1,-1,-1,-1,-1,-1,-1,-1,-1,722869,-1,-1,988304,-1,-1,-1,-1,461357,701746,516049,557664,-1,845029,334848,-1,-1,-1,-1,-1,491950,586364,881934,-1,246052,-1,472611,922766,-1,-1,868880,157157,633512,645412,557137,883689,262422,-1,-1,-1,-1,-1,-1,34117,-1,-1,-1,-1,458607,732982,100708,-1,868379,13911,-1,-1,-1,-1,-1,-1,-1,626367,3267,773074,633974,75201,-1,-1,-1,870426,457770,658207,-1,920047,369295,669666,824359,58710,-1,456210,390497,-1,-1,-1,-1,219172,-1,800105,395059,-1,-1,-1,-1,819549,358465,113981,-1,457747,601291,496440,647878,-1,343838,86021,635643,518573,8481,967457,-1,-1,-1,905296,737442,-1,-1,-1,-1,598620,-1,-1,-1,-1,-1,624190,-1,-1,462488,-1,762719,786784,604276,-1,220844,-1,97704,-1,-1,-1,25851,630426,-1,656860,210892,477846,-1,52750,339650,-1,868354,162953,-1,-1,902156,509671,-1,663403,-1,432842,-1,272144,822532,-1,-1,-1,-1,-1,-1,511785,942441,735571,793412,818040,-1,24816,96109,279125,677485,-1,29739,-1,744389,-1,230057,-1,415933,-1,120712,-1,80282,11708,287741,-1,992124,-1,-1,570998,-1,342580,6976,137824,-1,-1,759283,4533,142520,574200,892463,-1,-1,586532,-1,456334,-1,-1,288125,606988,-1,-1,-1,189792,-1,949175,-1,-1,873425,128588,-1,955777,-1,-1,307736,762199,-1,-1,-1,753801,-1,267580,-1,-1,-1,-1,691407,263815,673153,407826,851149,-1,-1,-1,39517,8540,346882,753983,-1,209107,810552,-1,649312,100327,375269,60204,992947,313627,-1,-1,-1,662044,233897,955665,-1,320991,-1,-1,-1,-1,947556,-1,-1,898816,-1,-1,584007,-1,520581,625957,128449,-1,-1,-1,-1,234151,204550,-1,723743,662309,-1,-1,-1,-1,-1,-1,564234,964293,-1,-1,-1,-1,-1,-1,-1,457153,182087,-1,56296,-1,-1,-1,-1,475823,-1,584553,174277,670495,702961,-1,-1,-1,404910,-1,642005,933823,972739,-1,-1,503228,765496,-1,-1,414980,-1,279153,-1,937828,-1,-1,-1,-1,2959,-1,-1,-1,-1,-1,514721,240912,-1,429873,-1,-1,116885,-1,-1,-1,-1,682514,-1,-1,-1,-1,51634,-1,-1,-1,-1,995760,984117,-1,-1,-1,-1,463601,-1,282864,-1,245902,574999,-1,806600,622165,-1,-1,753650,621424,-1,916902,-1,65473,282071,-1,166325,940701,-1,-1,-1,-1,17978,344281,220650,-1,-1,130256,-1,-1,-1,603712,-1,172828,861520,-1,184589,-1,-1,-1,148791,860691,-1,-1,-1,-1,-1,-1,-1,-1,184814,-1,695803,968397,-1,701431,386938,555328,-1,493890,990802,-1,-1,505069,-1,781191,-1,879856,-1,136589,277431,-1,226117,-1,-1,485081,483972,87512,-1,16077,-1,-1,-1,-1,297625,138785,188359,57121,-1,394246,984708,-1,-1,40403,8196,317977,-1,614302,-1,-1,-1,407099,733987,-1,413825,-1,-1,-1,270838,-1,844809,-1,160323,-1,89907,-1,830418,752262,472261,-1,891826,604742,-1,-1,121121,317120,-1,535976,-1,-1,782468,-1,890609,2461,390964,477803,402274,823664,-1,858533,923952,-1,120106,666957,232683,371181,178918,-1,-1,-1,-1,-1,772512,638500,799754,399396,835673,-1,-1,-1,604068,187119,-1,183748,-1,-1,589516,-1,943667,-1,-1,-1,591394,818316,279366,-1,598841,-1,427171,-1,-1,480000,-1,-1,438169,-1,-1,70209,-1,-1,669567,75648,-1,10724,848581,840415,374756,-1,502846,-1,996398,-1,350578,-1,-1,939041,-1,265060,-1,931677,-1,389620,-1,187587,-1,-1,-1,-1,-1,172664,-1,-1,-1,-1,-1,-1,-1,221764,-1,33015,-1,-1,785363,168121,-1,263077,162268,-1,414821,38007,-1,-1,-1,-1,-1,-1,231091,-1,669446,-1,-1,-1,991928,984689,-1,182720,-1,-1,-1,960911,-1,472967,589513,312165,495883,-1,-1,-1,332104,-1,-1,808124,843579,174856,936828,-1,-1,730286,-1,-1,547495,-1,444317,-1,657777,-1,-1,-1,-1,-1,163516,608763,338708,120847,-1,887562,-1,-1,-1,-1,-1,71057,-1,-1,455416,547703,283980,-1,-1,-1,375286,-1,-1,498615,-1,545256,809317,-1,-1,-1,185485,120342,-1,-1,-1,-1,-1,831523,-1,533427,-1,-1,-1,-1,-1,-1,-1,465297,264708,977949,-1,-1,53600,497847,713781,415161,-1,-1,788540,-1,-1,675145,-1,-1,-1,645603,-1,173851,-1,-1,246951,37012,-1,-1,96645,671516,373578,285375,-1,473195,-1,-1,423524,349531,-1,-1,822802,-1,-1,519912,-1,772426,-1,-1,982458,358130,971562,-1,47982,806807,-1,513919,910505,-1,612304,258371,419984,-1,-1,-1,-1,16063,-1,583360,-1,330409,90813,794695,-1,937677,684822,725535,566303,35637,-1,-1,-1,-1,181168,336573,630588,851082,-1,-1,-1,-1,-1,-1,-1,514990,98837,-1,507913,463330,19680,197558,884046,410873,-1,656745,823669,-1,766141,-1,635929,-1,666636,263116,-1,-1,895722,-1,237713,-1,-1,-1,516581,330008,-1,-1,622888,-1,126185,-1,-1,-1,-1,730900,-1,596100,806652,390464,-1,-1,-1,885396,-1,-1,-1,-1,63700,-1,-1,-1,-1,-1,750743,986791,-1,-1,-1,-1,-1,-1,-1,-1,165151,909938,-1,895550,-1,-1,-1,-1,-1,-1,960666,-1,614124,74713,518413,546340,847588,-1,-1,-1,569137,589277,-1,-1,-1,-1,-1,-1,-1,123178,-1,582168,-1,677004,-1,242535,733940,134410,-1,-1,578914,906706,230590,255698,668259,833625,601699,603027,-1,461039,125753,12072,-1,175778,840707,255239,-1,-1,755949,891866,472157,-1,365299,371919,177760,-1,93791,104764,792576,-1,952936,431585,-1,-1,-1,153402,-1,987210,16851,-1,-1,209925,-1,560365,-1,-1,920998,789117,347142,637660,-1,197624,263997,175121,-1,859468,976732,-1,-1,852222,-1,715140,-1,-1,-1,-1,618000,303080,-1,-1,827799,969473,447505,113373,-1,-1,599490,-1,110343,-1,989542,-1,-1,781597,999208,-1,-1,-1,-1,562196,43750,-1,-1,803413,737521,781454,-1,-1,-1,-1,-1,-1,789923,-1,-1,953232,-1,-1,906394,-1,216604,336657,745875,-1,138109,-1,-1,712934,700338,-1,-1,-1,450308,923644,-1,510203,-1,-1,-1,362817,726671,-1,-1,862727,-1,422775,43919,175046,-1,540776,-1,821034,421936,866964,729075,-1,-1,578240,429508,667737,-1,212397,-1,-1,-1,852336,-1,611724,899921,4853,-1,-1,-1,961395,815037,519503,-1,-1,323103,95867,883042,401958,145767,-1,-1,-1,319266,-1,-1,-1,485254,-1,289602,245010,-1,-1,215734,950679,650903,-1,536638,-1,752836,637342,945607,-1,-1,-1,902934,92142,-1,-1,-1,-1,-1,227990,-1,244161,-1,761744,921172,-1,-1,565650,-1,-1,-1,-1,193424,-1,479696,-1,-1,-1,-1,-1,17625,-1,446178,190096,-1,-1,482451,313309,-1,-1,472464,15082,-1,-1,285607,-1,-1,446909,485894,-1,353208,-1,-1,-1,-1,-1,-1,251344,250585,-1,-1,463326,931408,134566,-1,-1,-1,677331,903674,-1,728357,-1,119836,842880,287721,-1,651114,-1,699428,882285,-1,950802,-1,50577,759857,307937,-1,-1,6070,871082,-1,673709,-1,696176,291014,359898,-1,934412,-1,964108,273380,-1,232630,-1,-1,172989,619797,350800,-1,-1,-1,-1,547546,-1,340746,-1,-1,-1,-1,365861,726564,-1,155499,261532,-1,186448,-1,-1,-1,-1,-1,83469,218513,340000,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,723215,552987,-1,-1,-1,-1,454860,69067,143553,660959,973247,991327,-1,-1,782481,-1,625565,854739,-1,499537,168943,248918,-1,275131,778757,-1,717225,-1,-1,165951,421164,180914,-1,-1,-1,19691,746816,831700,14369,956511,165000,-1,-1,880903,-1,280360,-1,187608,558111,-1,914027,611647,-1,904714,905524,-1,-1,42441,474687,-1,-1,381297,409223,691287,40116,800248,649777,957170,-1,914633,-1,206462,851175,175803,-1,338893,637845,773905,-1,-1,469515,-1,955703,912989,-1,522313,323421,-1,782344,630741,525869,-1,150187,807619,300603,366989,564508,954465,-1,868935,922772,173182,157753,506122,-1,134554,-1,-1,-1,18094,-1,-1,-1,384372,-1,-1,-1,13405,-1,77312,338094,885528,-1,-1,974727,-1,-1,-1,548086,-1,83959,-1,650491,175,-1,-1,20516,-1,235028,92586,341802,-1,-1,31863,728105,462608,718536,-1,-1,363519,-1,-1,361824,-1,-1,-1,-1,-1,529772,809941,408914,-1,-1,-1,-1,238323,620279,-1,577478,-1,730127,-1,671341,-1,-1,-1,153421,-1,-1,-1,355412,-1,-1,-1,-1,-1,-1,696517,788730,830548,997782,493,-1,204958,-1,422120,349195,-1,-1,246874,-1,914176,-1,897117,-1,-1,454932,-1,-1,-1,352523,-1,-1,252244,938442,-1,227932,232330,752955,230597,-1,843600,-1,584082,-1,686609,-1,-1,225506,138458,-1,-1,369776,745107,-1,547972,-1,-1,-1,877410,395652,-1,-1,253260,550709,227083,506565,812267,-1,302017,883039,735756,-1,478222,385805,253773,536744,-1,-1,893452,719506,-1,477713,-1,228646,-1,618769,-1,-1,-1,-1,-1,-1,187058,-1,-1,-1,-1,-1,-1,-1,-1,434978,-1,633996,857171,-1,-1,917229,-1,23433,806215,122980,988704,-1,-1,814434,26871,499580,-1,915697,231602,-1,206845,69656,466366,882762,493003,579123,-1,-1,24431,-1,345151,-1,-1,-1,616456,941059,127766,-1,-1,-1,-1,587691,536537,-1,363084,-1,-1,190325,149306,-1,695674,-1,-1,535763,-1,-1,933891,-1,-1,-1,785352,-1,97424,-1,868265,-1,877075,571675,685684,-1,459104,-1,110275,885701,-1,738793,261508,131507,-1,205734,167450,242330,-1,469485,-1,962311,-1,750859,-1,463983,-1,609805,124420,-1,-1,-1,96143,-1,-1,-1,-1,-1,-1,77576,885080,806259,-1,-1,-1,-1,140949,641770,688707,722507,732013,-1,-1,871432,-1,-1,738013,-1,-1,-1,-1,960393,-1,514772,665338,-1,649403,-1,-1,170462,609721,518201,-1,257208,699942,508559,335965,-1,155526,-1,766555,-1,899671,-1,-1,-1,-1,715360,822696,-1,-1,714695,-1,-1,605824,-1,-1,165044,359250,298606,873023,971223,873367,-1,321996,-1,-1,681786,-1,-1,-1,-1,-1,802209,208283,-1,804824,-1,337118,936052,858345,-1,-1,-1,109425,-1,115774,361302,930410,605047,-1,484572,-1,877216,-1,-1,813527,-1,354161,649845,-1,-1,-1,904085,671523,-1,891861,47170,-1,-1,-1,-1,736470,439660,439954,759065,-1,-1,-1,644770,694582,-1,-1,-1,129689,318337,-1,-1,-1,643558,80952,823021,-1,-1,264503,885601,-1,211040,-1,863206,2144,933807,477181,-1,-1,-1,-1,-1,-1,-1,-1,-1,907615,-1,-1,858502,52210,-1,-1,132020,265825,226661,379594,-1,-1,-1,335870,-1,725745,568782,-1,405283,269246,-1,-1,-1,948134,-1,238566,-1,-1,-1,-1,898410,-1,922115,-1,-1,-1,-1,61295,328015,-1,278234,-1,608612,-1,30204,262600,552776,-1,-1,-1,-1,378564,646085,179830,656413,975607,-1,569989,-1,-1,32220,780282,-1,920046,353565,-1,582151,-1,-1,-1,-1,-1,70627,411205,505390,935267,-1,-1,-1,71453,124644,-1,234354,60800,987662,137182,218909,-1,912727,635831,-1,-1,-1,581109,-1,347231,212562,967208,-1,892403,-1,-1,925885,315799,-1,-1,899273,266390,946967,755780,786925,-1,39162,-1,-1,654324,-1,-1,969947,-1,-1,-1,-1,736618,-1,-1,-1,-1,-1,732285,784815,774217,653202,-1,-1,834733,265621,493591,351140,592936,135632,-1,273420,374170,-1,-1,741020,349329,200528,958485,828011,-1,134458,130342,456673,-1,-1,286866,-1,-1,-1,-1,87174,-1,-1,849549,-1,124301,284083,514879,-1,-1,943968,-1,577937,130552,87088,-1,622431,-1,673030,491360,-1,308949,560579,443993,670931,745598,-1,303994,896590,886723,337887,-1,435553,-1,-1,852638,-1,658815,415317,227844,724815,989645,660315,-1,672743,909037,-1,835393,-1,491798,-1,-1,-1,755318,901658,-1,-1,-1,-1,-1,-1,-1,-1,898977,-1,811342,157848,-1,-1,-1,-1,258661,-1,-1,-1,864457,559710,-1,515000,775753,705712,454085,-1,233111,896173,-1,-1,-1,-1,-1,-1,-1,646458,55512,-1,410870,368955,741138,750764,177097,-1,-1,-1,403743,-1,753414,544922,345154,624569,272414,496893,845566,598024,-1,779653,277959,-1,-1,827028,654731,-1,237918,-1,-1,595165,-1,-1,-1,19955,142828,119467,-1,294499,-1,220989,-1,-1,838502,-1,-1,349275,-1,-1,-1,-1,303534,437461,465098,515384,357154,319073,-1,952590,-1,581323,673899,-1,8532,244828,-1,-1,867939,-1,196019,-1,172530,-1,-1,-1,-1,-1,795715,953987,-1,-1,-1,-1,-1,25592,266596,857852,750355,-1,-1,590471,348965,-1,-1,-1,539966,-1,-1,-1,-1,854276,9996,978256,647062,243285,-1,768030,-1,167838,-1,755609,-1,-1,18937,-1,774240,-1,-1,692518,11998,825459,907184,6655,-1,671753,567162,837157,119423,-1,-1,-1,717530,138944,897597,298958,920953,337015,-1,-1,-1,19953,911277,151074,476504,60322,862489,-1,-1,273570,197587,-1,-1,-1,559979,382983,-1,-1,118726,340664,-1,951703,509479,-1,553809,-1,489264,39631,-1,-1,-1,-1,821313,-1,784428,-1,673247,279502,-1,737703,-1,-1,17537,-1,-1,727342,888718,-1,26204,134071,598854,730114,-1,-1,572043,-1,-1,903397,-1,-1,938185,101449,-1,-1,-1,-1,46153,890923,22929,305760,-1,439875,481867,-1,-1,12818,414000,-1,34246,-1,-1,968060,529834,-1,-1,-1,392520,-1,444827,45691,885600,956387,-1,902676,-1,277207,22260,-1,528732,-1,590809,278721,799169,-1,847191,-1,-1,963774,841479,270624,-1,740275,852899,-1,874063,-1,584943,497696,-1,-1,-1,-1,-1,-1,-1,136976,427471,705732,-1,-1,242416,-1,-1,-1,336975,-1,-1,-1,484697,-1,-1,203697,-1,-1,143091,979032,-1,133090,318694,867450,235830,-1,-1,998615,-1,-1,708118,650230,-1,-1,384067,753794,150727,587666,132234,-1,-1,330498,-1,80816,-1,-1,-1,-1,-1,-1,33721,825989,-1,-1,-1,-1,550959,801111,535239,-1,103410,804905,1964,949133,741310,-1,870682,887798,-1,74502,497326,-1,-1,-1,454992,710263,-1,255726,755393,-1,-1,797242,830546,-1,748308,-1,-1,-1,275143,408385,978349,106786,-1,939545,98476,-1,-1,-1,346547,-1,-1,-1,553199,-1,-1,393134,423944,200676,963027,752301,857437,261693,844823,-1,809891,-1,414826,697237,-1,-1,-1,421868,10162,425587,-1,-1,457143,-1,41522,327426,127435,29675,480767,-1,535699,993745,-1,322601,-1,-1,-1,479048,546662,646733,890386,7729,304054,-1,315970,147534,-1,526882,757231,-1,346817,-1,930422,-1,-1,908965,-1,865744,149426,-1,202268,371271,-1,499637,-1,671232,-1,-1,-1,73743,-1,-1,948413,-1,-1,-1,82993,175311,245981,223145,-1,-1,-1,883772,-1,-1,358418,770195,801767,-1,838903,542968,972321,-1,-1,-1,771822,-1,369838,592732,-1,2335,390541,-1,-1,-1,-1,578683,-1,135534,-1,63475,-1,235807,-1,-1,-1,20452,892328,-1,-1,647303,-1,480026,-1,128607,-1,-1,-1,574828,356296,66860,310991,142558,328541,557291,-1,874054,416236,841848,-1,-1,875987,-1,825192,869752,685773,502248,446363,-1,-1,153350,-1,659163,673706,-1,-1,-1,372268,-1,-1,397427,-1,-1,263698,73392,-1,53705,-1,397078,800842,377765,690016,-1,109593,-1,-1,745381,54217,-1,-1,189726,-1,976866,-1,-1,-1,-1,-1,58715,-1,317830,351863,-1,-1,715576,-1,840890,-1,173764,-1,-1,-1,-1,-1,-1,-1,-1,-1,993366,-1,111234,-1,-1,-1,523060,-1,-1,664131,-1,-1,659220,-1,-1,-1,-1,609251,478795,607556,-1,690714,-1,-1,-1,-1,487524,-1,-1,-1,579122,-1,-1,865733,-1,433597,-1,147999,920930,44524,-1,-1,-1,-1,-1,-1,995303,6304,-1,373688,-1,161188,303107,720293,522561,-1,-1,-1,823715,-1,-1,-1,-1,49935,603500,-1,-1,121919,-1,-1,-1,-1,-1,277152,-1,803637,-1,278601,-1,361808,-1,-1,786219,-1,267006,-1,220132,857149,210659,173516,405616,385665,-1,-1,-1,-1,871389,-1,-1,-1,597981,-1,-1,-1,-1,-1,619314,895025,504598,958830,-1,18220,-1,597283,934708,543074,682639,289878,-1,797777,-1,780532,-1,-1,142041,654573,-1,-1,-1,625411,242610,346439,-1,-1,788157,-1,989791,177243,373466,880305,-1,500298,974987,-1,407276,-1,496724,535736,879104,-1,448366,-1,304064,470531,-1,680443,654436,782861,-1,-1,-1,55518,845134,229037,610535,905049,399245,387436,-1,-1,140932,-1,-1,346067,-1,726960,-1,441809,-1,350949,629573,-1,-1,-1,321937,-1,301778,69038,-1,-1,-1,744117,797433,-1,136283,488120,726090,101291,-1,941702,-1,-1,774208,296691,479914,-1,-1,-1,676846,-1,-1,-1,-1,-1,365743,475737,760443,738679,-1,-1,45999,86881,260558,-1,420861,194151,-1,729519,28478,-1,563225,-1,-1,-1,338278,147259,220475,-1,693890,246316,21892,21073,238960,527745,543331,952039,524312,92803,-1,-1,-1,951524,546560,86620,646603,-1,522071,941450,-1,-1,-1,-1,-1,-1,835926,-1,-1,920589,526067,-1,-1,685474,-1,-1,-1,600801,-1,-1,-1,-1,969688,-1,-1,378342,-1,-1,372566,733146,-1,-1,-1,846196,334814,-1,461087,544987,-1,584861,165028,-1,-1,-1,202267,412539,-1,-1,-1,101216,-1,-1,-1,-1,-1,-1,169798,-1,37611,230062,-1,808745,702722,-1,-1,-1,485313,440100,832943,503415,52051,181876,-1,195393,-1,-1,-1,-1,373223,-1,191607,502185,522578,-1,66820,-1,811330,264904,865310,619340,291077,-1,-1,-1,390886,615937,-1,109641,408707,758346,-1,-1,488548,490222,-1,-1,-1,-1,-1,-1,-1,-1,1155,-1,-1,-1,896704,269195,871447,-1,928070,327519,-1,335208,-1,-1,-1,-1,699577,-1,862560,514424,-1,627305,-1,961446,-1,450656,-1,-1,62956,816627,-1,239319,389372,-1,-1,872447,698249,-1,971447,56181,102425,-1,543663,404116,998528,38847,193732,806019,-1,-1,-1,-1,-1,751856,-1,923369,-1,372842,576595,-1,224559,-1,21093,-1,-1,-1,-1,457414,-1,614610,861611,-1,-1,378318,637178,295640,-1,-1,-1,-1,-1,242409,-1,174354,-1,-1,-1,145878,-1,-1,-1,300241,253459,319956,54315,631290,367632,44896,374657,212411,-1,-1,-1,424791,717754,-1,448595,-1,-1,-1,-1,254873,336001,-1,-1,147971,486008,10012,650198,257060,-1,236966,-1,-1,-1,930682,1581,574245,-1,713375,690297,755858,-1,-1,-1,518768,-1,-1,-1,311726,499896,-1,-1,840208,-1,-1,-1,20597,442441,762499,-1,90621,-1,-1,359373,-1,993758,-1,-1,851490,-1,-1,-1,134765,-1,-1,-1,578820,-1,14393,-1,-1,-1,774760,552724,719881,996196,-1,773359,437071,939444,-1,430368,-1,-1,399546,-1,-1,474693,551599,819354,-1,-1,-1,62563,-1,689526,-1,-1,-1,-1,-1,647266,-1,671988,-1,-1,-1,-1,848272,-1,-1,-1,880877,584763,566947,-1,793824,59611,-1,375929,-1,-1,-1,-1,719356,704829,-1,-1,-1,208323,628969,769296,-1,904102,990942,-1,471354,452156,-1,139054,634974,265925,947006,901707,-1,-1,-1,368408,539747,465826,-1,944424,591428,-1,-1,141067,-1,-1,764505,-1,589559,545482,-1,8488,484944,351611,-1,-1,41402,796418,-1,846687,-1,-1,69384,34395,-1,842293,-1,944047,599804,-1,186747,42386,998952,-1,-1,419785,841760,-1,-1,520618,-1,32341,276189,-1,-1,-1,220734,200120,121245,-1,-1,-1,948011,-1,-1,-1,-1,132430,-1,618101,2031,98016,-1,383013,720519,940536,-1,-1,439248,-1,755301,-1,-1,291301,751457,-1,392764,109783,-1,-1,-1,-1,-1,-1,71249,905304,856311,-1,920122,860631,654007,-1,-1,-1,-1,973540,-1,759420,858083,-1,-1,407634,-1,-1,-1,393784,-1,-1,633521,-1,482198,-1,-1,-1,178284,-1,910383,642252,668378,358884,753084,446264,-1,-1,340947,-1,380978,-1,246069,427251,410818,596944,320518,199266,895881,-1,-1,124261,801800,-1,-1,-1,-1,-1,-1,564876,429653,271277,-1,550536,204125,139816,-1,493261,415570,-1,650610,146122,-1,43205,757637,-1,54049,-1,870354,611833,864900,551331,790170,-1,256246,-1,-1,-1,-1,3343,319856,316322,3881,194445,766600,406481,-1,20823,-1,-1,375351,556995,638131,153936,-1,584701,522759,557556,-1,10975,320531,-1,594974,615650,-1,-1,-1,-1,742590,81091,-1,-1,853466,295083,-1,-1,-1,-1,-1,49767,-1,426231,736120,168590,-1,182509,-1,-1,-1,740979,871833,-1,331438,-1,-1,-1,516327,-1,-1,24571,-1,-1,-1,639862,525332,740335,-1,354306,-1,-1,118604,-1,-1,-1,125205,-1,381534,483152,341465,74051,-1,-1,849096,-1,-1,-1,282785,-1,332902,-1,201388,274771,-1,398550,-1,-1,-1,669307,-1,441800,-1,658900,-1,683417,924382,467528,378959,804405,188927,293772,552891,994191,-1,-1,-1,45997,-1,38431,-1,-1,879266,-1,145644,-1,224168,-1,-1,-1,91703,-1,768557,-1,-1,149835,667012,-1,-1,760830,-1,943936,337621,845598,602711,964523,-1,-1,707252,-1,-1,-1,-1,152851,19702,-1,-1,-1,-1,917785,-1,240774,-1,-1,-1,927370,-1,161801,813604,-1,-1,164316,-1,284058,-1,213525,-1,986890,-1,-1,-1,-1,155337,496003,46860,-1,709019,-1,885129,860943,-1,649841,771114,-1,721195,-1,179712,446843,585433,-1,-1,835246,263472,380625,-1,571119,195981,-1,-1,-1,-1,-1,-1,-1,-1,67312,7253,787001,-1,-1,911480,100772,-1,3175,-1,72584,310097,50193,-1,-1,31429,-1,876879,391457,-1,565759,-1,131827,431203,232563,113028,-1,909688,845247,300020,771247,467241,186927,548303,320043,535262,-1,-1,-1,472295,-1,129866,-1,-1,-1,-1,-1,177785,-1,898610,-1,-1,595776,-1,-1,305757,-1,166652,-1,945679,460954,48241,-1,-1,-1,329227,-1,172626,981847,-1,-1,147730,554640,-1,47432,-1,209601,82065,-1,394215,916908,-1,-1,-1,29810,-1,181213,-1,339715,-1,-1,-1,655500,-1,-1,164302,-1,-1,498923,830430,-1,-1,-1,168229,-1,-1,103923,-1,-1,-1,868482,723883,467326,-1,-1,-1,-1,-1,527488,298022,-1,-1,314844,-1,-1,801105,-1,-1,191126,171466,459875,85378,298236,405360,407902,57862,-1,478238,824930,272589,791845,-1,-1,-1,-1,-1,807699,10152,-1,369511,-1,585768,237446,348647,194776,814152,-1,-1,-1,851498,-1,3898,669354,-1,-1,803445,-1,991011,-1,474976,-1,-1,18117,267737,-1,835253,-1,-1,-1,-1,-1,-1,-1,951318,-1,-1,420912,876890,465294,235704,445283,-1,-1,-1,-1,754211,205742,608158,670029,-1,575440,-1,610754,753737,840454,-1,72700,-1,559793,-1,-1,-1,79600,-1,-1,-1,-1,543069,-1,-1,-1,-1,680030,-1,-1,-1,-1,881603,805547,264034,-1,324931,646785,-1,-1,169658,572874,-1,-1,249353,556570,466673,787161,459686,-1,-1,777534,663112,504547,957949,-1,563631,-1,568487,-1,912780,275446,792253,489691,-1,-1,259385,564110,318226,215358,323645,486110,-1,54720,566221,-1,925979,555193,71653,417432,-1,562785,826779,25074,655874,-1,423213,12802,931366,769176,940321,-1,821795,837893,789449,270684,821077,-1,-1,770830,189916,370428,-1,536528,-1,-1,-1,-1,341287,482473,-1,-1,-1,527294,-1,-1,-1,-1,877143,-1,153140,400379,93475,-1,-1,-1,-1,734376,-1,-1,869244,-1,374703,-1,-1,-1,61323,-1,-1,381353,-1,995079,-1,913979,-1,625732,-1,-1,-1,595026,743060,-1,273185,-1,-1,953590,-1,622470,171781,864661,-1,767639,63791,-1,-1,390283,251289,410709,78993,-1,147613,868305,-1,-1,-1,537504,-1,-1,-1,-1,-1,752466,-1,-1,-1,-1,309642,-1,-1,-1,507228,-1,985942,-1,-1,362256,-1,-1,672737,-1,-1,484704,142165,-1,214126,-1,-1,-1,43335,577308,739495,-1,588573,-1,912629,-1,74831,539034,835784,-1,-1,-1,-1,8985,670737,-1,882237,488301,723738,-1,204195,-1,627057,518407,-1,-1,764106,-1,451906,-1,9572,-1,-1,163156,504677,-1,687834,-1,925368,990914,-1,-1,-1,-1,-1,545063,-1,-1,-1,886039,-1,138058,518619,-1,541279,246200,566537,567901,261735,517769,964186,348190,-1,-1,-1,679774,178589,-1,735587,-1,347340,-1,-1,-1,284574,301159,-1,-1,-1,985368,490564,-1,827837,-1,666265,-1,498573,-1,839607,-1,919654,-1,642384,185559,585907,677460,-1,-1,-1,-1,-1,-1,-1,-1,200928,427566,560206,411540,-1,524005,850608,86569,-1,298014,749448,-1,-1,710689,-1,-1,-1,-1,927213,-1,-1,364692,474388,569840,75680,35965,923752,-1,545599,942747,-1,765366,598863,-1,-1,-1,536315,-1,859014,699221,656622,-1,-1,877562,-1,792274,-1,48371,947595,-1,268710,337892,-1,-1,912705,-1,-1,-1,-1,18575,-1,485438,642163,-1,444453,-1,130238,-1,-1,298041,-1,824817,38878,-1,858547,20192,542870,-1,-1,91734,-1,-1,-1,343713,-1,878572,-1,330232,207254,-1,624249,-1,476325,-1,135635,668531,-1,207433,390468,700730,519197,-1,-1,-1,963242,-1,-1,320719,382304,509654,12843,146473,822073,-1,-1,422037,995192,-1,-1,-1,646239,949892,577722,-1,-1,-1,47195,749622,-1,-1,-1,-1,95958,-1,-1,-1,-1,431934,281313,789503,-1,159902,-1,32140,711410,282708,890238,986567,960079,504923,-1,-1,-1,646596,629734,-1,-1,-1,-1,-1,488288,-1,-1,-1,88126,-1,-1,-1,175215,189241,273244,-1,-1,-1,978939,221663,-1,226622,-1,442109,115979,951656,-1,727776,525733,270153,374514,-1,179978,-1,-1,122614,242903,788313,-1,-1,-1,-1,3357,-1,256401,-1,-1,616715,28676,753670,112822,-1,671727,539558,-1,345070,-1,997498,313859,14621,-1,-1,308246,-1,386274,354156,-1,-1,249212,-1,984333,84828,778448,-1,65810,399575,-1,777183,-1,361903,713292,-1,-1,739689,-1,-1,930056,136230,716912,-1,-1,-1,-1,-1,-1,-1,-1,698379,5155,592528,842080,-1,-1,860546,-1,-1,361260,-1,893038,-1,613850,-1,135219,713881,790246,703582,711485,881394,595284,-1,353031,-1,102650,635039,-1,442125,-1,-1,-1,842898,-1,-1,835374,-1,926037,-1,174428,-1,289726,475494,120129,462242,-1,-1,-1,128272,-1,-1,526370,-1,417663,-1,-1,-1,729205,978005,-1,-1,640357,694729,901792,-1,130693,421719,-1,-1,803907,-1,68286,604531,-1,-1,-1,212000,-1,517534,-1,-1,-1,163431,-1,-1,922474,791548,-1,226113,-1,-1,-1,-1,-1,-1,472824,-1,557815,262919,-1,807979,486309,961967,430284,-1,-1,813500,882270,-1,-1,268781,717794,211994,773952,816462,251863,281638,333497,-1,394178,898299,71565,848870,82408,321574,-1,-1,944416,907890,238775,-1,-1,34091,840738,-1,-1,3969,828051,-1,769596,513846,956502,-1,848511,-1,-1,172671,-1,-1,-1,596200,-1,-1,744816,-1,-1,238381,-1,371115,119941,-1,565868,682784,492395,-1,-1,119180,907940,-1,814348,822888,-1,722926,3588,-1,884593,-1,579171,-1,637695,406035,878191,835537,-1,364574,-1,684657,-1,773378,146416,598108,680158,19508,177781,747536,-1,-1,-1,-1,310365,-1,70651,-1,770580,698338,-1,-1,764487,930849,774613,245420,-1,-1,-1,-1,28017,779142,-1,52778,-1,-1,-1,-1,654603,-1,356890,470522,603538,-1,-1,-1,735969,507355,973012,374216,708656,-1,-1,-1,-1,-1,476339,686020,250630,-1,-1,-1,-1,-1,828307,423496,-1,-1,-1,754516,474482,-1,-1,-1,-1,-1,512567,-1,532394,907815,382455,-1,307780,-1,527446,-1,-1,-1,-1,-1,-1,-1,243086,590380,752868,-1,-1,-1,854773,78130,-1,347954,938064,-1,-1,-1,-1,-1,-1,868293,-1,-1,-1,-1,702660,918838,129142,707496,224187,-1,130032,247738,330795,635955,-1,-1,95791,-1,741374,863976,-1,178147,361653,-1,-1,816847,766903,-1,-1,503250,-1,-1,-1,-1,-1,256681,804093,49236,467571,579141,107151,376499,922079,472672,720603,361054,77261,-1,64745,533785,-1,-1,765648,-1,-1,-1,330302,-1,55709,750037,423641,486192,333670,887818,297859,-1,63914,-1,361250,-1,981638,233017,-1,826053,-1,-1,67461,96217,319467,-1,-1,-1,-1,533958,-1,812527,-1,-1,503584,449193,653411,-1,-1,-1,-1,-1,625636,-1,-1,533202,-1,-1,516458,-1,108165,751099,-1,483992,-1,-1,775781,159601,61171,618695,169502,153370,127615,803564,-1,913410,272964,399834,-1,268366,-1,-1,-1,432446,911714,375258,-1,-1,151844,-1,137200,-1,-1,-1,915576,510008,399230,-1,899219,855837,-1,644677,831125,237395,804430,452868,313501,-1,751567,-1,-1,-1,-1,828824,346558,127936,-1,-1,-1,-1,-1,561242,-1,466993,786785,-1,250162,580949,-1,48033,926604,-1,-1,-1,-1,-1,-1,595599,767524,-1,-1,-1,-1,247277,475951,249198,588306,-1,-1,900927,-1,395496,-1,-1,913009,173841,-1,-1,122062,758094,804269,-1,-1,-1,732540,-1,-1,732938,234160,357159,-1,-1,971898,-1,259145,920139,589700,-1,99229,758383,416497,670898,-1,207390,-1,-1,-1,437084,-1,-1,497414,-1,-1,-1,-1,-1,-1,-1,-1,796550,-1,-1,804812,929279,961823,-1,559685,468057,37398,-1,280702,884303,-1,-1,-1,343755,-1,242846,154185,333985,-1,-1,-1,873643,321822,335925,-1,-1,322354,446458,-1,-1,-1,-1,992555,-1,-1,-1,349225,-1,248861,59251,575821,-1,-1,274210,605108,557494,425898,-1,960941,951788,-1,571743,460356,822227,927942,-1,518291,729849,-1,-1,2863,82524,389815,-1,287543,-1,51369,-1,-1,-1,861806,987899,809925,166747,-1,56043,929985,-1,-1,-1,82853,-1,587971,903385,420511,-1,930176,415499,-1,-1,-1,872783,905881,391447,175905,-1,183530,633628,824082,936144,-1,120127,293020,769485,-1,398623,-1,158156,-1,-1,766649,550398,408990,567362,-1,-1,660282,187739,895282,299782,-1,-1,818743,897013,-1,-1,-1,-1,-1,-1,492976,-1,-1,-1,-1,452458,962212,-1,-1,-1,-1,-1,-1,-1,518702,-1,122273,-1,-1,-1,-1,-1,582431,-1,337915,-1,-1,592877,-1,617618,-1,348321,-1,-1,257867,-1,-1,904674,305902,-1,-1,-1,36537,937484,-1,385405,460453,-1,534146,-1,-1,157804,-1,312460,452337,-1,-1,-1,136635,414748,633559,-1,913496,-1,-1,162070,-1,-1,407671,781043,726406,378286,-1,-1,-1,-1,798371,755127,-1,-1,-1,91483,458742,271035,676052,799342,-1,324008,343348,-1,868744,-1,64773,635723,-1,869711,-1,172257,821003,-1,-1,-1,994146,-1,382243,-1,-1,571499,104262,900198,480187,867138,862997,171664,-1,-1,-1,922025,337902,-1,-1,-1,43754,-1,746407,-1,484339,567286,-1,-1,77385,-1,-1,558844,609146,765233,-1,-1,795141,196406,-1,-1,48723,-1,-1,840219,-1,126931,-1,476764,-1,69672,-1,-1,-1,-1,935092,725602,687454,-1,518001,-1,-1,830014,139413,-1,-1,490595,-1,-1,43824,825345,760467,-1,-1,669401,93684,439290,817682,-1,678409,633450,613419,-1,774890,639667,-1,474557,-1,-1,-1,-1,298281,-1,-1,498,437350,800698,562037,129627,-1,540005,-1,-1,313283,504313,890145,-1,471333,379643,551137,631452,390191,934315,-1,421106,-1,671188,436017,207672,-1,-1,334125,-1,-1,386704,152940,894530,449042,-1,878952,623291,-1,334284,750293,896152,724370,753522,-1,-1,-1,-1,-1,-1,-1,216418,-1,729295,17947,-1,-1,-1,500596,645009,448740,880482,520479,-1,21920,195486,482773,-1,-1,-1,-1,-1,-1,180178,388423,-1,749762,-1,-1,920847,500136,144406,862526,942693,74112,770961,376635,971291,-1,95225,-1,-1,795906,-1,941052,46570,527885,-1,-1,-1,978846,-1,35606,142665,-1,140235,426021,-1,322097,255863,-1,599135,92350,-1,885481,862078,337672,274798,540431,544998,-1,142546,-1,-1,-1,-1,-1,527982,-1,430648,106288,-1,-1,441086,-1,594222,105508,369706,-1,778430,904715,-1,524217,-1,929252,-1,224025,278241,341655,-1,555228,-1,813068,273175,-1,844147,956159,943943,419309,-1,398469,898531,-1,-1,-1,-1,-1,-1,309909,-1,-1,-1,-1,-1,-1,-1,-1,8206,-1,900041,-1,29142,770764,-1,733267,391136,165885,66048,82514,-1,168368,850534,-1,-1,-1,-1,-1,-1,-1,-1,705457,973114,-1,151180,216014,559505,-1,489268,-1,-1,796043,-1,-1,-1,-1,165661,822522,483322,-1,-1,-1,547114,-1,551142,109287,-1,503840,-1,-1,703967,-1,-1,-1,-1,-1,107917,-1,767192,-1,795909,507143,-1,-1,567713,-1,983675,274184,42819,-1,591948,456388,377172,-1,-1,158740,-1,668103,404022,365787,11369,63035,778180,915993,-1,-1,-1,-1,43872,-1,647882,427167,239874,-1,-1,-1,117410,245039,998256,-1,433318,273366,-1,-1,-1,470328,36553,844624,-1,707222,-1,-1,555518,577948,-1,-1,-1,-1,-1,-1,381488,309148,795056,-1,-1,-1,821283,516060,80083,-1,-1,577460,-1,837595,-1,-1,-1,236872,576091,-1,-1,-1,297662,939384,121585,-1,-1,-1,135797,-1,707095,759561,-1,713084,-1,-1,501983,680791,889826,-1,-1,636033,513772,122613,301418,-1,-1,984828,-1,613069,299335,-1,697211,882080,387462,831779,-1,-1,686862,430222,694117,403223,-1,-1,-1,-1,-1,-1,-1,-1,-1,275496,228851,-1,-1,705895,440513,721287,-1,-1,-1,435334,807852,-1,655728,-1,421728,173105,-1,423209,487235,708087,527687,678989,-1,-1,-1,-1,971213,-1,864920,555784,-1,752092,226420,-1,744372,183253,-1,-1,103637,343255,367950,528837,-1,-1,-1,-1,-1,904488,-1,-1,733647,794928,-1,103532,-1,919283,865083,-1,-1,420576,694486,668192,-1,858661,636645,-1,-1,299312,354779,-1,60458,-1,873691,451008,854177,-1,26627,215426,28776,-1,603643,-1,-1,-1,-1,498242,-1,-1,-1,-1,195474,179829,987745,984696,559109,136342,-1,-1,-1,-1,-1,-1,-1,149157,-1,-1,-1,-1,650996,336814,671808,-1,-1,189513,607954,-1,264582,-1,456656,865099,-1,277697,-1,-1,-1,302271,692199,-1,-1,-1,298802,-1,93105,992175,-1,761128,-1,-1,-1,400567,-1,-1,-1,-1,43013,281205,-1,21480,-1,-1,-1,180945,195831,-1,-1,401892,-1,-1,79525,513391,3234,594364,-1,204509,-1,47768,-1,-1,114834,-1,81259,-1,-1,407573,-1,-1,995528,420936,205204,-1,-1,90092,-1,-1,-1,-1,158986,-1,-1,365878,443116,399602,280665,-1,-1,178648,436179,800666,435396,255757,-1,941950,699033,759879,728794,711899,30400,183080,-1,-1,-1,722947,669905,134075,-1,609314,387655,-1,922530,956296,706468,-1,-1,694070,-1,552187,836771,76634,-1,-1,-1,-1,838930,-1,815648,-1,-1,704625,-1,691690,121246,-1,-1,13838,-1,-1,-1,-1,-1,3487,260367,-1,591215,111585,280920,115908,-1,-1,-1,836063,845229,-1,-1,235094,444887,-1,915728,-1,359549,721940,-1,914545,705039,-1,227713,733757,-1,840812,853403,-1,35021,485487,-1,753887,-1,-1,-1,-1,319182,-1,-1,-1,68862,-1,-1,-1,427299,360084,-1,383186,-1,732149,999990,42364,-1,196570,-1,-1,-1,-1,-1,-1,-1,577636,-1,404283,594660,840335,857651,671402,-1,205513,-1,-1,112872,-1,-1,-1,-1,-1,-1,176217,806507,-1,460942,-1,-1,276399,-1,138219,-1,-1,28628,17604,-1,-1,678488,-1,-1,480065,844825,231279,305406,-1,48656,-1,-1,295363,430405,-1,-1,-1,90790,540546,-1,313727,474360,-1,-1,719425,571902,-1,-1,245693,-1,-1,-1,-1,839525,-1,251835,-1,-1,988522,895038,-1,979396,-1,768885,-1,319121,-1,-1,-1,-1,814847,140475,-1,-1,-1,-1,272154,-1,904572,-1,-1,938917,304813,-1,296178,-1,968149,628397,790711,191050,-1,165369,-1,-1,-1,-1,730080,294768,-1,-1,-1,-1,391910,-1,954599,89913,357136,913243,-1,609694,53143,-1,-1,639358,-1,53409,-1,-1,638391,-1,686549,-1,-1,-1,295860,-1,-1,701598,490186,556172,994945,155394,-1,573550,-1,-1,118912,-1,-1,759860,-1,-1,-1,-1,801106,-1,-1,868743,-1,953947,-1,-1,-1,585831,-1,-1,-1,72737,-1,-1,883791,-1,110829,-1,31875,-1,-1,943526,-1,866197,463906,-1,340020,-1,-1,-1,-1,-1,-1,387562,914408,-1,-1,-1,35496,679271,-1,-1,-1,402611,110353,-1,-1,549656,-1,-1,847534,-1,894482,-1,403531,771316,353858,782842,923174,136209,500915,647324,-1,920077,923497,-1,511965,809295,883121,-1,572988,114054,-1,44443,662587,-1,-1,332173,-1,905880,151307,-1,75338,-1,-1,-1,-1,-1,771655,810122,455628,625075,-1,-1,-1,-1,183624,253286,-1,-1,627790,-1,-1,-1,569488,-1,-1,532153,-1,372371,572864,-1,-1,-1,-1,187525,-1,-1,747106,124933,-1,-1,179852,441692,127720,-1,-1,770204,-1,-1,-1,-1,19336,131762,366431,-1,-1,-1,26250,517596,616477,77770,-1,-1,-1,-1,-1,696652,-1,293533,710334,908995,-1,790840,905794,672607,473018,914917,974620,-1,-1,-1,456553,-1,-1,836211,950648,-1,-1,-1,684864,819567,-1,-1,-1,-1,-1,391704,740006,475822,-1,65915,814414,171375,-1,-1,-1,749165,-1,909152,35181,-1,856990,978577,-1,969913,288191,716860,-1,632869,-1,109664,640158,101233,-1,428413,-1,-1,761006,-1,-1,-1,340727,-1,195180,-1,184611,72519,891510,11129,-1,-1,109650,776636,-1,598383,278131,166366,-1,-1,783737,-1,828403,-1,-1,869173,254714,47617,-1,-1,-1,98888,804274,-1,551226,512191,-1,-1,-1,236370,-1,221115,-1,668788,121826,-1,-1,511151,847404,981909,660014,856949,637017,-1,257223,433632,-1,-1,-1,-1,-1,659653,-1,-1,-1,-1,742742,396393,-1,-1,-1,-1,563354,-1,562964,-1,-1,188736,-1,-1,-1,166080,428985,273441,-1,-1,-1,-1,793407,-1,689512,427916,265477,-1,-1,306798,-1,798107,-1,-1,812337,750983,-1,349775,392040,674198,4030,43775,-1,547000,424466,176255,-1,537585,-1,-1,887257,-1,83915,861236,470110,-1,-1,135883,-1,920262,-1,694063,672975,308605,599882,641956,-1,384001,-1,-1,-1,488633,633658,981962,648735,779512,-1,-1,-1,-1,808612,851414,-1,357062,477061,961732,533110,163829,508259,-1,-1,335040,-1,848094,420488,-1,-1,518056,379379,999514,-1,-1,15110,-1,672776,-1,337645,-1,374230,621647,-1,814979,-1,279268,-1,827645,-1,56172,-1,-1,-1,51606,-1,328711,10393,-1,-1,-1,506813,434245,-1,-1,-1,112860,715778,-1,-1,-1,700983,-1,13190,160522,-1,-1,-1,-1,-1,-1,815868,-1,-1,-1,-1,-1,-1,-1,-1,-1,282063,-1,-1,224024,-1,-1,-1,-1,-1,17941,730066,201485,-1,-1,56023,-1,-1,755054,-1,686485,426226,-1,55582,71280,701236,909703,849502,769858,896009,98179,215527,657124,165032,973279,-1,-1,-1,688187,-1,806737,-1,960800,774642,586071,914305,-1,126023,-1,775054,893194,-1,-1,607039,281377,587722,-1,128716,-1,-1,524649,746790,-1,771589,-1,562390,40147,-1,-1,-1,-1,342925,-1,652639,449675,891410,725417,821346,9463,-1,-1,100126,673762,-1,466177,-1,-1,-1,-1,112496,663599,914701,568743,-1,170147,214658,742883,477278,-1,280409,-1,-1,957026,79896,-1,-1,528350,142511,840534,502467,758935,817942,-1,501928,-1,668297,93389,920503,-1,513892,-1,-1,-1,28354,-1,-1,964406,870413,316228,-1,533055,660791,252476,-1,-1,709650,163138,-1,305707,-1,466449,-1,289304,-1,847221,-1,-1,-1,-1,-1,-1,-1,-1,-1,581549,-1,-1,938200,215452,995500,409097,-1,895755,-1,-1,-1,-1,748742,-1,83673,-1,-1,-1,971002,-1,-1,-1,-1,841592,508197,-1,-1,483772,398750,786078,-1,185404,-1,53184,827471,-1,109132,671950,-1,-1,468236,-1,-1,-1,873874,-1,-1,-1,566282,-1,-1,-1,-1,-1,-1,-1,-1,856472,-1,-1,-1,37908,146836,-1,304364,358807,555270,264387,-1,-1,632496,429090,349420,358188,-1,965332,483731,625204,764262,1072,-1,-1,-1,954778,-1,604014,-1,859500,-1,482543,-1,661964,643760,212519,307502,-1,69232,-1,-1,-1,403466,-1,-1,500258,999487,-1,-1,561489,-1,509416,-1,-1,-1,274643,267635,-1,370914,-1,357544,-1,694818,842208,-1,465169,-1,887055,940042,18093,-1,-1,805424,-1,-1,875820,-1,-1,821697,925409,-1,-1,-1,939379,157713,735081,802436,-1,-1,-1,639268,-1,437657,648897,-1,298531,-1,-1,-1,766864,-1,878167,-1,314644,244284,95118,54553,971837,312784,-1,932265,-1,-1,-1,-1,674065,142374,-1,-1,184175,-1,923340,925924,636394,-1,522145,-1,172942,-1,-1,-1,207066,-1,873644,-1,12016,-1,881519,-1,-1,639680,872036,-1,-1,-1,504715,-1,665343,414184,902061,9765,643044,-1,667912,-1,484809,686646,-1,-1,-1,-1,-1,673183,-1,643217,-1,-1,-1,-1,713661,789832,426690,-1,-1,377782,-1,-1,518939,373137,-1,-1,-1,325275,-1,-1,274860,611624,-1,678541,837680,-1,-1,820166,-1,81479,45308,-1,-1,251090,-1,601413,-1,263563,107597,626260,-1,832368,-1,253655,899294,-1,541091,722036,-1,-1,104006,-1,937168,-1,842954,770414,-1,-1,-1,-1,-1,849449,-1,570659,-1,399574,418018,-1,2914,-1,-1,434981,881331,413073,-1,903494,-1,-1,-1,-1,-1,-1,-1,207633,-1,445564,-1,-1,720768,53161,-1,544284,386032,327774,-1,-1,-1,-1,-1,983012,40745,-1,-1,-1,235387,923782,27901,393880,-1,996451,418718,-1,183367,-1,-1,318307,795451,291917,793861,593971,-1,-1,793179,45197,405318,-1,657690,-1,-1,735453,-1,584227,751459,192631,-1,323208,256076,-1,142726,291065,-1,-1,-1,298143,550648,-1,-1,922192,39355,-1,331032,809724,281911,135,475484,-1,265960,-1,-1,849194,-1,-1,718975,-1,504575,-1,-1,618610,671622,-1,844940,-1,-1,838339,975715,162999,-1,-1,-1,953572,-1,94361,-1,-1,469378,480468,19596,824369,573367,372124,158757,-1,-1,659504,554133,-1,-1,-1,304625,-1,962688,497413,-1,95581,-1,625216,459923,-1,-1,223334,857486,583455,-1,649830,707200,149474,824427,-1,-1,229116,846380,538270,-1,356437,855937,296570,25403,400118,50185,427298,811135,-1,-1,615516,-1,985128,-1,432246,858117,-1,-1,-1,134888,-1,-1,-1,138632,799359,-1,214707,-1,-1,-1,141240,-1,-1,151334,290304,658837,-1,-1,321430,642999,-1,-1,62111,-1,214943,-1,-1,-1,72776,456812,-1,-1,-1,983812,506300,920426,-1,346317,476449,-1,474584,-1,-1,647948,409197,887708,400815,-1,-1,-1,427565,-1,-1,-1,-1,-1,-1,845058,-1,583726,-1,676676,-1,-1,-1,-1,131292,-1,-1,269562,464033,599064,-1,449754,-1,895419,295877,574561,-1,-1,268081,353482,589742,843332,-1,45494,832622,-1,-1,-1,-1,-1,-1,635834,-1,-1,600855,438036,-1,-1,472877,-1,-1,826589,586966,420096,827738,613364,625181,592719,520248,-1,-1,567107,-1,891407,-1,755437,-1,-1,-1,733035,-1,503598,443488,88323,-1,-1,140190,-1,-1,841259,333134,660670,-1,321988,109001,765172,-1,944791,-1,102594,-1,775953,-1,-1,2444,-1,-1,918280,737023,942865,-1,-1,-1,382935,-1,828778,628310,-1,962876,-1,965803,-1,-1,805596,339087,681004,-1,-1,862277,473125,6681,-1,5242,-1,732090,53918,388659,-1,-1,203145,385416,548856,-1,-1,749638,-1,-1,-1,244312,-1,917624,-1,239963,135086,-1,704797,184105,-1,-1,-1,-1,-1,-1,363114,468685,351285,-1,-1,463674,-1,-1,-1,-1,-1,108368,779179,359301,-1,-1,567634,212442,-1,796517,-1,-1,-1,778062,-1,-1,243797,999814,80226,517392,-1,69797,194526,-1,944589,-1,-1,785862,984561,612493,832290,-1,-1,105010,-1,-1,641547,-1,-1,-1,-1,-1,662542,236811,-1,-1,-1,624016,-1,-1,882335,-1,-1,-1,-1,-1,-1,440912,-1,327785,-1,-1,443584,654015,-1,-1,202050,578807,187211,-1,-1,836863,-1,-1,871922,967971,-1,251455,682711,-1,-1,-1,582607,-1,139867,-1,-1,-1,-1,606655,749328,992704,758714,-1,-1,-1,469888,58765,-1,-1,828702,-1,159225,-1,332144,-1,-1,-1,-1,-1,-1,436173,651277,-1,-1,760227,523576,132962,-1,126896,328246,780087,591082,164553,785643,-1,998980,-1,558514,-1,682177,-1,79942,416004,-1,-1,-1,-1,-1,274052,-1,836647,966803,-1,49350,340363,102626,584787,-1,-1,143014,-1,-1,-1,894383,-1,-1,-1,-1,64386,302501,-1,-1,-1,-1,-1,-1,965561,-1,-1,-1,669470,94406,582411,94261,831345,594573,-1,660664,-1,-1,476551,-1,-1,-1,541873,712408,-1,-1,751223,49810,668393,700360,464001,901311,-1,-1,976890,674244,923489,-1,726195,-1,957911,-1,740662,-1,537418,-1,-1,-1,777909,72347,-1,-1,919345,740026,-1,-1,542591,190622,324544,182252,938393,420566,530500,-1,-1,997327,419099,-1,-1,756945,555961,132701,299903,-1,323073,764874,991533,-1,813041,-1,-1,-1,137597,-1,494132,-1,222890,47502,-1,204900,290177,822434,475955,-1,-1,-1,302135,-1,-1,181473,-1,-1,852862,-1,786095,-1,-1,702425,-1,278407,66170,-1,-1,-1,-1,-1,705754,-1,362353,-1,-1,134460,-1,-1,186411,595128,-1,187716,776891,-1,533265,-1,762968,404902,936369,767765,863645,34342,297547,349157,-1,-1,744588,799049,-1,-1,303928,184963,-1,-1,749737,31960,94620,-1,-1,-1,-1,-1,70895,-1,83457,-1,-1,993272,-1,-1,-1,-1,-1,707728,582745,-1,917981,-1,818766,932312,-1,-1,-1,523720,-1,-1,915614,-1,498306,-1,-1,169469,612411,-1,-1,-1,18386,999816,-1,750976,222646,771690,-1,-1,-1,-1,309015,-1,-1,470881,956084,-1,278129,-1,-1,-1,692007,-1,-1,74077,-1,-1,641146,-1,-1,-1,477796,-1,996390,167594,569796,-1,581289,-1,-1,962432,-1,-1,687084,-1,271472,83827,-1,-1,-1,-1,793541,-1,927142,114615,396279,-1,632302,-1,446622,-1,-1,-1,898449,69431,84869,-1,-1,920561,-1,760004,482844,-1,-1,-1,-1,653930,-1,-1,447770,-1,-1,236525,-1,154080,786747,276117,-1,947143,838521,748931,-1,584234,-1,284687,-1,861010,-1,449187,-1,267162,872739,903407,-1,123696,-1,-1,-1,-1,102074,-1,693610,522246,129003,-1,-1,-1,-1,668979,646441,-1,-1,930360,-1,-1,341337,579993,-1,445806,845424,592214,-1,262084,28118,-1,20564,-1,-1,183762,-1,43092,327798,-1,129677,826617,-1,-1,-1,640999,-1,546119,628438,-1,-1,819503,-1,189220,192562,311657,-1,425958,-1,-1,79605,-1,-1,828872,-1,-1,494540,545785,868668,417570,-1,-1,448194,897420,24281,-1,-1,741206,-1,361500,-1,248974,-1,58594,625,-1,-1,300942,-1,586201,760539,-1,411078,-1,523141,-1,-1,573002,-1,-1,-1,-1,-1,323594,378972,809269,275531,641734,451687,-1,-1,-1,382424,945921,857512,187740,953751,-1,846601,876255,200133,-1,-1,604921,-1,386907,-1,-1,-1,-1,193099,-1,669155,146303,473277,-1,-1,-1,-1,948511,-1,-1,-1,-1,530408,70889,-1,269621,-1,-1,495099,-1,283136,65575,912546,-1,-1,445764,397343,765148,-1,-1,-1,438350,625432,-1,955255,489984,-1,-1,-1,-1,-1,727551,-1,79299,697343,-1,-1,298563,-1,-1,-1,98879,766519,15941,599163,272143,603084,-1,269508,196058,-1,-1,-1,549756,-1,717023,194550,-1,-1,-1,187831,585561,-1,-1,-1,-1,23215,-1,-1,-1,-1,-1,666141,427609,-1,-1,625979,-1,-1,-1,961204,179591,-1,13476,-1,-1,763974,-1,-1,-1,-1,12762,-1,-1,105710,216080,408728,147398,360412,922087,732256,-1,985838,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,497296,188206,-1,-1,-1,845166,-1,277857,-1,650848,271373,86061,780745,970557,-1,-1,868222,991360,-1,41009,226173,855668,-1,229022,101371,204371,791067,706357,-1,-1,422956,-1,-1,-1,-1,-1,448643,274514,-1,-1,277581,-1,-1,-1,638400,-1,431146,-1,949917,-1,-1,131469,-1,-1,953798,-1,-1,-1,-1,264303,-1,-1,-1,922418,590011,304126,-1,682917,370451,40639,-1,-1,149147,472845,-1,583870,1459,-1,-1,-1,394743,-1,-1,156481,254619,-1,739526,796545,663848,-1,-1,-1,-1,-1,-1,-1,-1,793600,-1,-1,655805,-1,245884,-1,-1,-1,-1,-1,279073,-1,-1,50089,-1,-1,-1,-1,94979,-1,885944,538075,388099,888900,-1,146221,-1,-1,-1,-1,242118,713537,928595,-1,-1,427180,28349,859982,99316,-1,-1,-1,-1,979608,632421,694061,-1,814556,-1,-1,939151,201442,-1,247461,627721,-1,-1,967308,-1,642697,394911,534436,111992,508235,-1,806298,-1,7414,-1,87224,523915,105789,-1,-1,-1,-1,-1,-1,-1,-1,-1,485184,301820,75240,-1,-1,-1,-1,924822,-1,-1,267869,-1,-1,-1,739659,-1,241318,-1,867667,144881,-1,-1,154871,-1,69081,-1,-1,-1,-1,-1,-1,-1,745605,-1,592342,-1,415206,797988,351373,367023,-1,189062,353164,-1,732990,-1,-1,-1,-1,-1,-1,-1,114063,-1,-1,-1,-1,-1,-1,-1,-1,-1,468462,-1,269083,-1,266602,-1,-1,759813,-1,723830,927853,952464,170739,759193,301063,-1,139638,-1,819589,693355,-1,992256,-1,32591,-1,-1,971833,484259,450413,-1,-1,-1,273495,-1,231475,-1,-1,-1,-1,267900,-1,-1,-1,-1,-1,682425,788690,622968,-1,838015,-1,-1,463512,-1,573235,-1,367058,410261,789129,-1,-1,574301,-1,973049,-1,-1,-1,-1,-1,-1,-1,873905,835331,-1,-1,958232,519898,-1,-1,237148,-1,753192,-1,-1,-1,-1,866704,444672,-1,-1,-1,-1,-1,-1,26891,-1,705472,621337,210207,553079,-1,-1,-1,8176,392476,272264,429760,-1,652128,-1,90301,-1,798600,-1,227175,680600,-1,-1,218003,653664,-1,688514,-1,-1,-1,987569,664071,736601,97978,813144,-1,-1,678651,820582,-1,-1,860557,267364,868734,551923,367168,898377,-1,775197,152284,160311,-1,114755,-1,73292,-1,-1,249151,-1,904198,354143,617057,-1,811070,605119,-1,-1,517659,-1,998470,970400,-1,329274,-1,-1,337721,954694,-1,538236,259306,-1,-1,-1,-1,-1,717686,-1,582943,-1,-1,-1,-1,417133,952896,27178,-1,475224,-1,-1,-1,599689,-1,-1,858671,-1,164051,159223,634015,-1,-1,-1,137640,417147,74264,660537,910120,-1,-1,111204,-1,-1,722680,743301,858598,-1,23278,729481,680277,-1,-1,-1,-1,-1,-1,-1,-1,788101,40361,-1,945842,280786,203044,501299,186333,824064,-1,406492,646843,-1,-1,-1,-1,75162,-1,-1,727652,-1,-1,-1,-1,-1,144586,-1,743044,369182,817979,-1,736709,10182,652771,576984,145748,-1,-1,254886,-1,239044,345607,472112,564265,-1,295509,-1,-1,-1,-1,-1,417753,424834,-1,301959,-1,577429,-1,414865,269541,-1,-1,556875,-1,-1,-1,-1,797938,-1,577260,-1,-1,-1,-1,697563,862393,846855,976080,-1,-1,-1,829552,844955,-1,-1,-1,-1,41241,-1,942463,-1,668472,-1,280247,453549,325347,-1,-1,713062,9316,192928,-1,842434,-1,-1,41221,-1,489384,378431,-1,-1,971035,126763,-1,-1,664438,-1,-1,502420,-1,-1,629216,-1,-1,-1,473549,-1,-1,-1,-1,6795,16288,914719,872554,282403,824523,595223,-1,530822,-1,-1,-1,-1,247131,274385,-1,-1,-1,71940,359039,-1,-1,781132,-1,-1,351936,431627,-1,881082,530771,748824,154845,-1,629342,567053,567013,209100,126528,-1,549359,822171,-1,-1,-1,743057,-1,-1,384205,-1,587577,-1,378056,467418,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,928144,-1,29774,-1,334590,-1,-1,-1,-1,-1,-1,-1,-1,505790,147897,837316,-1,-1,292511,-1,-1,771300,-1,-1,-1,416424,683024,442559,372146,621185,968006,-1,622336,-1,-1,-1,340506,472123,-1,-1,906633,-1,-1,277482,-1,910566,-1,-1,-1,-1,-1,351802,741892,230752,-1,-1,317144,-1,-1,-1,-1,992650,787019,-1,-1,-1,419474,937664,186183,34767,-1,-1,127931,409230,328254,652171,892162,62689,656613,-1,383272,681319,-1,-1,500924,722644,-1,765225,-1,-1,737830,99585,-1,758827,-1,-1,-1,-1,850617,-1,-1,-1,444168,-1,-1,511987,89846,320398,-1,-1,890168,-1,413453,548234,-1,1111,937489,411135,-1,-1,-1,-1,583651,-1,-1,304589,-1,625873,80728,160571,-1,930302,-1,488102,-1,-1,538103,155971,124209,632601,-1,-1,-1,-1,559056,497398,-1,-1,-1,-1,-1,-1,535151,-1,843652,-1,-1,-1,-1,325939,-1,-1,613937,-1,-1,618341,-1,546460,-1,370150,997352,732134,96121,650271,-1,23037,867156,56582,-1,225795,-1,166528,120601,876289,-1,419334,-1,501637,127760,976712,581853,-1,160188,164677,-1,-1,-1,158112,710447,487487,873865,761051,317731,-1,183347,-1,-1,738221,-1,-1,-1,-1,-1,866084,-1,-1,921840,-1,-1,-1,-1,970774,370432,-1,-1,791259,-1,-1,-1,-1,516534,460448,78737,-1,354408,-1,-1,57475,2135,-1,726655,235296,-1,371338,-1,-1,366175,537750,-1,725971,845271,-1,804178,-1,-1,-1,-1,-1,996272,378868,892081,198149,77700,171133,-1,590573,127215,-1,-1,338989,699374,-1,728653,254366,-1,654106,-1,-1,211596,-1,-1,-1,-1,-1,-1,1016,-1,137377,-1,689611,-1,-1,354885,-1,587709,811369,142768,-1,688883,827167,-1,-1,122595,-1,-1,-1,-1,-1,134365,584477,-1,485411,119680,-1,46183,541674,-1,842719,440921,-1,-1,310392,804285,-1,-1,-1,752548,-1,890942,619280,-1,792933,855773,966451,991297,86642,900377,-1,282841,-1,-1,808402,-1,-1,-1,-1,454764,-1,-1,637640,66832,-1,863607,-1,31307,-1,-1,-1,-1,770865,-1,591677,-1,157404,67171,503364,149980,-1,-1,431487,688222,-1,-1,185417,-1,751916,667081,245861,225280,63151,-1,-1,610827,46203,-1,-1,-1,779393,-1,-1,46988,-1,611776,-1,-1,778880,-1,476920,479676,-1,301487,738402,421300,691577,561733,-1,803045,-1,-1,-1,-1,343399,-1,-1,-1,-1,61003,770666,635598,-1,875259,-1,32121,645504,456528,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,916713,-1,-1,979690,-1,-1,117814,-1,698945,-1,-1,-1,-1,-1,793421,308882,660388,-1,-1,881306,-1,735389,646905,478470,-1,309297,748165,-1,-1,-1,-1,-1,-1,471865,-1,91814,833758,387489,-1,-1,-1,-1,16541,987164,413508,-1,-1,36513,-1,-1,-1,663142,224863,-1,-1,-1,686304,-1,779624,339854,-1,-1,408540,-1,-1,5081,-1,898195,90020,-1,-1,-1,359889,-1,-1,480006,-1,399751,249187,-1,81584,-1,-1,-1,687235,245564,633977,-1,672265,745727,-1,-1,802512,-1,836701,214125,-1,281652,758457,-1,-1,-1,-1,-1,415400,399163,808340,702301,-1,119100,-1,68212,-1,207339,-1,-1,450009,557255,-1,-1,-1,-1,417146,589523,-1,188212,-1,60844,239596,353348,259499,-1,283242,386665,-1,682075,-1,719127,-1,-1,623471,567123,-1,371377,-1,512527,679162,-1,-1,-1,-1,-1,726799,666113,386588,881000,-1,961450,561316,793165,776836,-1,772120,-1,864743,-1,780719,-1,-1,-1,-1,339120,632747,813202,-1,-1,-1,86474,-1,-1,273158,360137,886521,409687,428287,-1,932384,-1,987256,-1,381599,-1,433309,-1,438523,287838,-1,998412,27552,479890,147050,-1,766379,-1,791072,-1,-1,-1,-1,603234,-1,-1,-1,527219,782354,961358,-1,-1,333026,751486,214523,763727,958271,473608,-1,-1,977054,-1,331419,607606,-1,888566,577295,-1,638610,-1,318171,887477,312430,844047,572336,-1,-1,596022,-1,659602,957456,-1,833858,-1,-1,733340,-1,-1,124494,-1,593241,-1,469083,592185,-1,641289,-1,-1,635176,-1,-1,-1,-1,-1,-1,-1,664729,330189,-1,395932,61965,-1,145552,652038,-1,-1,-1,-1,82772,705381,-1,892430,-1,656539,314289,34946,-1,-1,-1,880543,-1,-1,-1,498890,757158,-1,-1,225251,535291,706590,-1,-1,792507,-1,-1,-1,-1,-1,-1,-1,-1,9924,-1,-1,-1,-1,919195,-1,179480,-1,12957,-1,-1,-1,690007,-1,505309,880996,-1,-1,-1,-1,600767,-1,248927,-1,930076,376474,180228,129649,516743,-1,144294,518107,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,347067,420302,-1,303009,-1,-1,506967,480941,-1,-1,-1,-1,-1,-1,715944,-1,694370,29664,-1,235253,653409,-1,488092,-1,468102,-1,-1,-1,-1,-1,-1,111319,-1,-1,-1,948748,887156,929858,-1,658867,-1,-1,976533,474774,-1,668128,-1,-1,510801,-1,34027,763211,-1,71398,581415,956543,-1,506942,144050,321120,792226,-1,561665,-1,416521,-1,465003,-1,278257,-1,600757,-1,791273,-1,-1,-1,514040,882798,-1,-1,43913,385580,-1,-1,-1,795359,425657,890719,-1,-1,716624,-1,-1,687926,599846,454910,894859,-1,-1,802386,655490,589947,-1,810165,23083,243967,127951,-1,92596,339096,45919,728866,-1,-1,273819,-1,-1,-1,-1,670761,-1,-1,-1,-1,303262,926692,-1,511991,-1,706691,-1,249855,831332,-1,-1,-1,118581,266555,-1,467661,533666,-1,399122,-1,479241,278167,571047,-1,-1,-1,276460,-1,-1,-1,225420,554953,770053,-1,825032,496809,571178,893736,628232,771811,-1,-1,-1,126693,368817,989264,273528,897750,-1,10189,978609,624302,-1,545888,133555,-1,92258,551035,606029,270634,-1,-1,-1,-1,350660,-1,-1,4235,247665,127530,991657,281484,-1,537253,-1,-1,-1,-1,94591,-1,-1,-1,-1,731316,-1,44227,250145,686395,-1,436693,-1,864235,-1,98715,663983,53711,-1,4303,-1,287444,497915,429877,-1,-1,-1,-1,-1,-1,991434,-1,-1,858490,152251,267291,-1,-1,-1,-1,-1,802732,-1,264193,433040,-1,409811,101656,-1,-1,-1,-1,417634,-1,575236,738141,432026,350680,-1,-1,-1,789397,-1,-1,-1,-1,25948,-1,787649,105898,203286,3043,-1,243437,794160,-1,183267,383425,986040,845016,-1,606464,-1,-1,581687,515550,-1,-1,-1,-1,628607,-1,-1,-1,-1,-1,792484,-1,-1,-1,-1,32373,325291,992156,-1,149327,-1,672615,-1,-1,404066,357749,-1,577741,472679,-1,-1,-1,-1,127239,-1,-1,258913,-1,358376,111164,-1,752867,376644,686973,121433,85326,-1,363147,539309,-1,498998,397674,-1,711073,-1,-1,-1,626991,-1,810384,522830,-1,404343,624334,587134,-1,-1,-1,310159,58901,268546,-1,234574,478866,-1,260919,-1,-1,872542,-1,-1,421198,64039,-1,410273,-1,-1,-1,937184,-1,391822,-1,-1,720128,342726,-1,382050,538106,-1,290970,70846,146769,253008,-1,532508,292779,-1,807053,67097,-1,529481,-1,553647,-1,946000,665978,-1,-1,-1,409648,-1,875755,225133,-1,831768,-1,-1,232676,-1,-1,17150,183283,779196,-1,619423,-1,762696,908934,205435,-1,-1,325262,309450,-1,482481,848238,-1,-1,-1,58365,487807,284503,-1,-1,604138,-1,700077,-1,-1,-1,-1,467986,-1,-1,773621,154033,-1,56626,-1,-1,5675,-1,-1,530601,-1,161513,-1,209554,908271,756606,-1,-1,501218,-1,662154,-1,-1,560313,988760,-1,-1,291522,589766,-1,-1,109861,-1,506866,432031,-1,-1,868136,891467,-1,772170,-1,517248,-1,455588,940815,147501,-1,797934,-1,-1,-1,-1,-1,36317,-1,44318,590510,873767,-1,-1,-1,777841,868348,-1,369213,254050,-1,-1,645931,79935,886610,305266,472532,437544,500267,825796,-1,279072,583331,162311,892163,-1,15978,-1,-1,247980,99457,388226,-1,-1,-1,-1,404088,812799,-1,604630,-1,437101,-1,-1,16278,-1,987882,-1,-1,-1,681228,-1,-1,923792,582006,445636,263788,650549,-1,-1,-1,502186,944539,-1,-1,-1,-1,-1,-1,629521,20238,216592,-1,799348,-1,820029,611899,318390,-1,873395,479011,205065,-1,152428,-1,91493,708885,30055,796089,-1,-1,-1,-1,14300,247510,-1,-1,-1,784311,532491,-1,-1,944037,483326,-1,-1,-1,-1,934592,681589,-1,404365,972842,159431,-1,335676,980359,-1,-1,-1,934423,-1,-1,-1,925049,-1,-1,-1,-1,728358,953452,-1,-1,-1,535897,-1,446023,-1,298900,637406,366230,971568,-1,268044,-1,-1,-1,858707,438968,436886,333397,-1,-1,920288,575300,-1,-1,506303,3734,124493,-1,-1,-1,331720,-1,-1,-1,-1,-1,-1,725938,219227,-1,51024,655904,228749,149877,916019,564433,-1,193432,-1,658824,614967,857200,341930,134836,713004,-1,286939,-1,-1,-1,150304,938236,-1,364117,-1,836030,355301,-1,-1,-1,-1,-1,376291,-1,245272,152080,-1,-1,441137,-1,461280,57553,-1,-1,256215,-1,-1,-1,-1,598681,934149,-1,-1,68581,-1,-1,-1,-1,-1,-1,-1,381641,-1,282775,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,190778,-1,755983,-1,197430,29143,-1,109269,151989,-1,-1,219335,566712,-1,-1,-1,-1,-1,498050,-1,-1,751309,-1,-1,36888,772481,785347,939847,891107,-1,800807,869529,-1,-1,967900,726940,156391,454493,273353,-1,-1,-1,646601,329701,407268,929174,-1,293494,680644,-1,858853,-1,-1,943486,-1,904499,-1,-1,556778,-1,9622,389707,-1,275662,669903,-1,45780,-1,-1,257976,630026,683425,41523,673401,-1,9153,41449,769624,43994,-1,-1,-1,94253,-1,-1,332775,138552,-1,585973,388348,723205,-1,-1,482616,860689,-1,-1,859564,-1,413928,-1,-1,-1,-1,-1,209132,329346,740028,560548,-1,-1,-1,-1,-1,-1,-1,-1,738584,-1,-1,781428,-1,826898,319314,-1,57853,-1,-1,704221,518489,-1,-1,-1,-1,172267,-1,356045,351487,-1,-1,527393,-1,-1,-1,418238,467445,616258,-1,-1,854675,653084,-1,-1,638493,353844,-1,705087,-1,-1,-1,407519,-1,815498,359195,425243,-1,-1,78837,890756,691425,-1,-1,-1,467876,829099,-1,-1,-1,-1,-1,437872,692022,763189,181375,998602,-1,-1,130264,383584,-1,589137,744583,576083,-1,-1,-1,739155,173380,922975,683320,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,493274,564436,-1,389608,-1,-1,815916,-1,-1,995551,793404,-1,347167,-1,-1,315677,38985,-1,749623,470674,958885,570837,-1,-1,240055,508961,-1,-1,-1,208035,846268,-1,-1,-1,493868,562122,76697,-1,-1,-1,202101,-1,445271,-1,-1,910344,787796,996468,-1,-1,596947,759850,253986,115682,-1,323607,527852,366834,192384,-1,738740,-1,-1,-1,-1,533215,633110,762,739289,408815,426109,-1,31550,273425,107449,219743,-1,-1,460749,986708,744396,924605,778273,-1,-1,172578,763660,431671,-1,-1,-1,-1,-1,542612,466961,-1,-1,488539,-1,-1,720289,606187,502603,306239,238726,-1,466229,-1,141700,117407,-1,314700,-1,419833,240869,503005,629405,-1,-1,-1,555962,536725,-1,-1,-1,-1,-1,79007,694047,774278,753726,-1,-1,-1,307885,-1,-1,419428,-1,941111,470418,202219,-1,804730,-1,245706,558709,112387,221675,525318,-1,-1,965238,468104,-1,471272,232988,72954,-1,-1,589258,512860,-1,230682,488637,-1,-1,665265,788245,162481,103178,682076,933478,-1,991246,152684,-1,853293,209660,428917,359157,-1,-1,493638,-1,886974,-1,982898,978257,-1,705953,52281,-1,-1,356245,-1,405489,-1,596332,854861,-1,227538,-1,308417,-1,-1,-1,-1,-1,917549,-1,924324,-1,-1,513105,-1,553446,28590,110520,555403,-1,-1,-1,-1,728638,898665,814715,-1,905862,681244,-1,-1,-1,934636,784489,944088,-1,353119,-1,-1,-1,436289,222070,-1,-1,-1,-1,788216,733767,-1,67710,-1,-1,-1,377988,566082,-1,-1,-1,-1,-1,-1,388774,707521,-1,-1,-1,886133,-1,233124,314581,-1,215997,322726,-1,199143,-1,842975,-1,-1,-1,-1,-1,770276,-1,367358,-1,-1,412629,-1,484475,618282,-1,287421,656445,457036,45073,-1,98035,924058,-1,695182,835893,-1,90015,-1,-1,-1,293457,-1,-1,165666,-1,-1,-1,-1,-1,902414,938117,790037,128556,-1,327926,253963,972820,291594,305038,-1,-1,-1,-1,144045,857528,-1,-1,-1,-1,-1,-1,-1,-1,751824,-1,296675,855410,-1,-1,388848,581880,347430,986491,106880,702097,153217,-1,-1,344577,-1,-1,136955,-1,443396,-1,172138,-1,-1,-1,-1,807992,-1,157699,232538,584051,785309,-1,-1,662798,897252,541556,907706,4494,-1,-1,231632,-1,-1,-1,513412,846386,-1,-1,135751,-1,620121,30796,-1,129953,-1,752251,546018,406782,-1,-1,-1,-1,-1,718407,-1,-1,-1,538201,98358,168,558680,-1,-1,-1,326683,953172,741978,607921,510187,-1,-1,389710,263062,294352,99636,-1,615144,-1,15050,461869,-1,302282,36787,-1,958846,-1,-1,393431,9638,607697,851451,615863,219145,491852,408869,-1,224255,-1,697179,-1,475646,736933,612986,679550,-1,-1,102546,-1,-1,-1,232286,405983,-1,815010,453929,991345,-1,298874,-1,253601,241081,690311,-1,-1,-1,559655,-1,907836,426000,-1,641673,-1,-1,-1,706819,-1,-1,90616,-1,-1,394063,-1,-1,441051,-1,420593,-1,421246,-1,-1,-1,277442,-1,741454,700527,904439,433038,-1,282974,78915,-1,-1,-1,-1,585678,795782,410831,-1,-1,-1,981981,798171,680691,503253,-1,-1,-1,38658,-1,485337,-1,344862,309234,-1,338621,775420,346623,-1,-1,-1,871543,10554,-1,-1,196218,724299,-1,671407,311417,-1,-1,627390,63946,472468,-1,-1,-1,-1,179807,416600,-1,-1,889474,576769,817226,-1,218725,-1,123699,371689,297890,774591,291200,-1,-1,106379,-1,-1,-1,230278,196543,420101,538295,211968,-1,-1,-1,710443,576201,538312,-1,100990,653846,-1,143973,-1,127637,3370,994559,-1,-1,-1,699308,939129,837443,292503,-1,-1,289433,-1,980385,23965,576419,-1,699704,772055,-1,-1,-1,201608,-1,552557,59102,776280,-1,281495,-1,936212,436929,272583,-1,537192,-1,-1,-1,933416,-1,323159,169166,466371,-1,540837,-1,82477,640853,897815,828762,398366,739552,-1,951930,-1,-1,270164,-1,-1,736562,189064,795838,-1,-1,-1,-1,-1,-1,971895,906274,202896,-1,278001,-1,70255,-1,-1,911402,525761,741968,-1,568624,647280,-1,786534,168104,530856,-1,-1,667432,-1,113831,-1,243467,-1,-1,529932,-1,-1,-1,-1,-1,673379,-1,-1,557524,-1,-1,191295,679031,183845,683224,762566,890450,-1,-1,94952,-1,258299,590709,-1,-1,581011,-1,-1,-1,584094,-1,-1,660793,-1,-1,439470,-1,991174,-1,798671,-1,854738,690300,-1,831873,742446,-1,-1,648713,-1,-1,-1,411281,991505,-1,238620,-1,-1,-1,962392,-1,139846,948236,266157,898947,813871,794220,431467,-1,-1,923505,154804,193237,583514,164422,-1,-1,493906,519042,208128,-1,711873,35080,739554,-1,823512,-1,-1,818915,-1,212023,875226,667810,-1,72307,-1,243236,-1,666975,-1,-1,986441,-1,915753,270001,-1,-1,976634,130725,-1,-1,-1,915798,105941,-1,47717,938759,-1,-1,259326,-1,991577,-1,-1,200578,465131,-1,902884,376921,-1,-1,602838,-1,-1,-1,274938,-1,71187,88588,964823,-1,265038,343044,-1,73595,487499,-1,-1,-1,732339,-1,-1,490344,-1,39618,-1,61828,-1,-1,-1,-1,34375,-1,-1,-1,-1,-1,-1,-1,195870,-1,-1,791209,137176,993768,-1,25601,-1,-1,-1,-1,889514,-1,-1,-1,-1,960006,-1,-1,-1,634731,894767,-1,-1,512618,165633,384837,-1,223274,53008,-1,354570,-1,-1,-1,-1,751080,-1,-1,-1,742103,496723,68626,-1,40294,-1,-1,127881,142132,278747,-1,-1,-1,-1,-1,-1,376301,-1,470721,296057,308012,668525,477325,-1,684056,204174,181160,-1,588010,-1,-1,401979,-1,-1,-1,-1,-1,276221,-1,-1,628090,-1,817530,10604,-1,974652,313218,811238,-1,868887,311675,629483,910488,-1,294443,-1,-1,50705,-1,378290,-1,509798,-1,-1,-1,520349,-1,546087,312091,583341,122097,552968,-1,-1,-1,-1,113378,93077,772919,719064,77148,438940,134502,723976,-1,-1,-1,-1,-1,848202,-1,532452,-1,872005,173374,677678,671525,-1,-1,687905,-1,-1,-1,36503,171623,-1,172201,-1,-1,-1,586709,-1,538019,-1,235994,400464,207615,-1,-1,619413,-1,581575,665563,-1,881038,793786,-1,-1,-1,-1,318607,932287,-1,-1,-1,149082,187658,883375,-1,264342,-1,446466,518339,800158,-1,543550,-1,-1,232874,345974,-1,414803,-1,167140,-1,6037,-1,281075,-1,463690,-1,-1,-1,631093,579567,661125,-1,986051,-1,286304,156019,-1,-1,953024,-1,534558,659286,773620,-1,779617,119049,-1,-1,-1,706575,166308,-1,294206,756754,471573,-1,642686,858417,153271,-1,-1,718231,-1,430736,830729,473663,-1,-1,806417,350093,-1,-1,755561,-1,374705,241273,825660,-1,-1,-1,-1,640599,776188,361852,-1,-1,-1,-1,-1,-1,312667,42741,-1,-1,702543,353566,78353,68546,977461,-1,-1,299489,374706,184699,963908,-1,90610,-1,-1,285825,952586,-1,866324,347390,-1,-1,445901,440634,-1,-1,-1,397802,71977,285828,-1,215688,-1,589830,-1,-1,-1,891830,-1,907979,-1,-1,792341,757134,-1,-1,-1,-1,-1,-1,-1,-1,-1,778777,-1,-1,818835,-1,168915,-1,532156,-1,986699,-1,-1,280893,381608,-1,-1,-1,666983,587925,393868,-1,390526,671631,-1,280163,-1,-1,446261,-1,171161,-1,843685,-1,398722,-1,938761,-1,-1,-1,502633,-1,596002,698703,672503,-1,-1,99434,526842,745358,375122,-1,50725,691759,-1,441834,537006,24647,234842,900177,-1,-1,154611,593643,-1,368672,303317,-1,-1,697933,-1,744603,-1,-1,624527,9014,911500,-1,-1,709136,-1,906036,470922,763405,-1,-1,648781,-1,172362,896779,396090,-1,999462,-1,910541,-1,173637,617230,554530,458968,740775,410492,38762,186324,992477,-1,-1,-1,-1,-1,480112,-1,72387,-1,-1,101415,-1,-1,58798,971311,837746,525645,-1,-1,787101,-1,875752,472881,-1,853678,492231,260983,13596,-1,311283,-1,553346,-1,978562,-1,-1,570013,904171,-1,225491,522572,426018,-1,-1,-1,-1,-1,1807,-1,-1,177594,-1,803280,-1,484156,278609,-1,-1,-1,-1,212018,-1,646083,-1,161975,464814,911309,-1,499939,613491,820503,857593,-1,340526,-1,-1,342960,-1,-1,482636,118752,656648,-1,-1,-1,821583,-1,253221,-1,-1,-1,-1,460005,740927,-1,498479,-1,-1,312521,454650,-1,459166,782673,-1,229598,-1,-1,928186,306705,606753,-1,597392,-1,155389,-1,381230,-1,-1,-1,-1,-1,-1,298317,650938,-1,1747,-1,-1,854354,-1,-1,482495,861685,475265,802695,-1,-1,24558,284993,272339,-1,327930,882881,359371,-1,-1,168752,-1,-1,682992,27791,986859,-1,-1,314274,-1,-1,540926,810422,-1,-1,218477,549547,856182,-1,240024,581995,-1,215784,77355,-1,930163,984506,873236,16008,325466,-1,304648,-1,715477,543860,-1,795345,782352,680460,424594,835909,466261,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,707785,232257,-1,669478,-1,256456,756296,-1,-1,-1,-1,897140,-1,745761,-1,-1,3091,-1,-1,-1,874035,-1,-1,348015,-1,-1,-1,578392,-1,-1,-1,940497,769344,187236,-1,371080,271204,392032,139144,978356,146321,291403,-1,306099,30617,677349,-1,411606,860313,395472,-1,433609,664963,-1,51477,394699,769294,839565,610722,438818,162879,224585,454675,-1,298985,-1,448067,-1,923269,-1,176247,-1,223235,-1,578777,98323,364209,-1,484306,430738,815034,-1,-1,-1,-1,393801,154678,835675,465553,-1,-1,-1,-1,539183,-1,-1,240308,-1,156250,-1,885190,115653,769953,-1,110196,18869,-1,-1,339497,899268,-1,287831,-1,-1,-1,-1,-1,-1,231203,281008,-1,125165,-1,751745,-1,-1,327394,907719,-1,480496,213702,-1,134544,-1,-1,-1,-1,449424,-1,655430,603926,-1,538889,-1,463300,-1,766358,-1,5853,699888,149997,422723,942360,-1,443266,-1,-1,311243,686769,-1,-1,843434,-1,515447,-1,-1,884950,407167,431613,112750,876987,968088,-1,-1,747114,-1,655735,694886,316918,-1,987321,67274,68958,946927,-1,-1,192753,931389,515467,-1,-1,-1,753523,-1,392630,654644,238289,221800,-1,-1,-1,430510,-1,195707,-1,-1,887010,309920,-1,570258,366674,663253,702683,-1,-1,-1,-1,-1,674327,652042,-1,871461,-1,-1,333898,-1,-1,553679,91918,-1,-1,591589,-1,-1,945845,-1,856292,-1,160516,812397,662095,-1,-1,598061,-1,-1,-1,-1,-1,365294,-1,114006,517495,875250,526150,-1,539326,-1,-1,-1,-1,319423,-1,194418,-1,-1,-1,-1,670858,242316,-1,-1,-1,-1,-1,-1,376258,685062,10434,-1,623091,-1,-1,481593,440205,-1,-1,-1,-1,681314,-1,-1,-1,253420,86992,-1,368563,-1,582268,-1,471009,500345,672771,568873,314647,-1,-1,-1,645846,626233,-1,-1,340828,-1,-1,439424,-1,-1,-1,-1,-1,-1,-1,-1,738494,-1,663913,438772,576483,-1,-1,-1,580568,-1,529086,-1,-1,-1,75279,167705,501043,634521,224576,438163,-1,247155,113258,-1,45483,-1,109460,926504,-1,390828,616301,907197,-1,766838,-1,-1,437524,375535,-1,918534,-1,-1,-1,18394,-1,856551,62330,249468,-1,725673,-1,-1,-1,658400,-1,739980,-1,12264,-1,337639,866723,-1,-1,-1,259845,-1,-1,-1,249618,-1,-1,-1,-1,149734,278137,-1,870390,452354,-1,900775,-1,-1,23774,-1,-1,-1,-1,340963,-1,714420,48111,561799,376645,-1,-1,-1,965694,-1,-1,-1,-1,-1,598128,531212,-1,-1,-1,-1,-1,484034,178563,326435,151559,444650,-1,-1,-1,-1,406163,-1,-1,711973,-1,506959,-1,-1,203637,-1,338326,-1,31198,339146,-1,458623,190837,211671,202942,-1,517013,698710,350810,420604,688441,-1,-1,-1,360895,670772,-1,803811,-1,297630,687323,936895,644191,976032,-1,-1,435835,-1,215436,-1,483844,634231,-1,646107,-1,-1,-1,-1,-1,541625,912796,783401,99754,-1,-1,440259,-1,509413,886715,-1,900746,-1,-1,550316,-1,540943,-1,-1,520852,768664,480382,-1,-1,-1,462404,-1,-1,-1,-1,338903,-1,348165,165580,-1,374748,17014,-1,-1,724525,-1,910584,-1,830483,-1,-1,690770,19162,-1,-1,719661,42737,-1,-1,783231,465807,461224,891055,108027,60962,557100,-1,-1,630138,881270,-1,-1,-1,-1,-1,245395,-1,343480,211314,-1,-1,51919,-1,-1,705911,461281,-1,-1,433119,-1,-1,-1,215875,-1,-1,210255,430686,-1,420543,-1,-1,-1,813489,954297,-1,633197,-1,370847,587883,4548,-1,-1,-1,-1,729088,-1,-1,415479,217953,-1,554528,-1,969425,-1,-1,-1,397837,593409,-1,24485,723712,-1,-1,692067,858404,835734,-1,544592,-1,212933,20457,236487,923283,370927,826375,326667,-1,284617,-1,-1,476542,194543,662708,932749,-1,146456,95365,588607,221012,657227,-1,194873,-1,692107,42218,-1,-1,-1,-1,-1,812086,112429,-1,-1,527259,-1,391593,-1,759746,96596,-1,-1,-1,754382,-1,118182,-1,-1,893744,162034,-1,323701,-1,992017,-1,-1,852196,493966,296758,249750,69935,188420,295499,-1,285728,42235,-1,-1,-1,-1,-1,-1,604720,667893,-1,973238,-1,-1,790908,-1,348483,-1,-1,-1,354525,-1,106967,454829,967399,893693,316662,270500,29147,752845,-1,156598,-1,-1,-1,145904,-1,-1,-1,273797,187923,175971,378218,-1,-1,-1,598959,69952,-1,-1,-1,926723,-1,-1,-1,365994,409241,288236,151236,-1,-1,-1,-1,-1,-1,-1,656962,394929,-1,54396,611447,211508,766027,-1,121273,-1,480157,981792,-1,-1,802348,110072,-1,941609,828413,841329,-1,-1,338018,612398,284078,-1,-1,27935,539359,-1,-1,246214,104096,343164,991330,-1,361610,-1,434354,672132,830915,-1,530826,668608,469280,-1,689472,-1,103046,956972,-1,-1,356640,-1,899610,169144,-1,-1,-1,-1,-1,163252,57421,-1,95814,758325,354054,-1,-1,309900,-1,-1,-1,436259,917240,610429,325211,-1,651045,-1,483516,801562,521775,-1,-1,-1,-1,-1,-1,-1,505076,794240,-1,629932,-1,-1,434898,-1,-1,-1,-1,746272,-1,487857,-1,593052,345408,-1,-1,-1,-1,40475,-1,575196,214544,-1,-1,-1,675223,-1,662706,-1,-1,-1,-1,-1,-1,203677,-1,352922,607124,41490,-1,-1,192114,-1,-1,-1,-1,722443,-1,508944,517421,279441,555865,337970,-1,941766,308006,916953,-1,613513,770878,-1,393740,751339,-1,-1,-1,-1,313932,18377,383376,-1,234584,367886,-1,-1,-1,44986,369424,183810,947060,139431,-1,-1,310154,934238,-1,372304,832386,-1,-1,881550,-1,-1,587571,151323,-1,-1,892394,23474,-1,-1,-1,-1,-1,833017,260998,-1,420374,386996,315525,-1,-1,-1,68490,511892,-1,-1,302602,881359,-1,997382,-1,341361,13433,-1,724538,-1,200743,-1,-1,-1,798177,224622,227567,-1,-1,115688,593666,-1,-1,691570,360594,-1,-1,-1,31288,529507,-1,-1,264716,-1,954787,503686,248274,-1,-1,527188,519302,-1,622877,-1,765728,-1,841297,-1,71202,-1,-1,-1,751746,-1,-1,-1,-1,-1,951588,792461,-1,721593,519045,-1,-1,725618,880687,-1,-1,534527,758207,-1,162267,38520,37763,333720,346950,707634,28531,-1,299344,-1,623575,-1,935142,281682,-1,-1,-1,855740,795433,358662,639345,-1,519010,-1,-1,721639,-1,-1,36714,-1,938643,494156,310842,801261,137823,-1,565442,550687,-1,487033,-1,196632,643772,982345,-1,-1,295618,-1,330782,374837,509264,814054,733731,-1,765505,275125,-1,976768,-1,-1,909473,956072,-1,-1,-1,301150,183646,542166,-1,-1,63648,251780,240539,-1,45686,-1,-1,-1,256745,183556,843315,768816,128030,-1,-1,-1,-1,875798,-1,-1,-1,859190,-1,98294,-1,59406,-1,-1,543433,-1,704011,811153,-1,109137,-1,315452,892380,150307,-1,-1,894828,323394,24380,239792,-1,-1,-1,127205,-1,483840,453997,-1,-1,609996,769778,138409,-1,330361,-1,-1,132651,542119,646400,-1,-1,383975,-1,13906,846861,195855,-1,-1,639419,563112,864145,553682,559367,756528,110046,416607,-1,891943,-1,-1,-1,360733,694981,420427,964489,754353,-1,-1,198726,174572,-1,101814,-1,473052,468608,409642,-1,-1,162814,136178,780366,481601,288520,-1,-1,545847,424190,944201,397644,810112,-1,638962,890752,-1,-1,947730,-1,922037,305545,955902,662174,227992,955809,402610,820164,486012,-1,909618,-1,-1,21248,-1,-1,659231,-1,854536,184165,170957,-1,596193,608184,-1,504822,433157,749016,-1,-1,-1,2124,-1,-1,-1,620525,629679,-1,-1,681701,848207,-1,-1,-1,842536,-1,465642,-1,864941,-1,-1,229943,900435,-1,-1,-1,786953,-1,-1,-1,823501,468088,651514,-1,390470,368185,976473,548680,-1,513198,839410,-1,675707,240622,-1,874431,-1,900385,-1,487957,-1,36083,978139,-1,-1,681077,-1,-1,-1,-1,129618,-1,293248,522020,290308,-1,982221,510606,204463,-1,892859,325662,-1,963750,-1,476086,43340,20816,745487,-1,-1,391442,14247,-1,-1,-1,-1,564285,-1,661775,355484,-1,467311,-1,-1,-1,-1,-1,686977,-1,860756,-1,554794,672804,-1,143090,-1,-1,-1,650751,-1,944235,-1,-1,532730,370333,981336,540305,501183,-1,5352,402452,264781,-1,173100,-1,46365,593961,61275,941767,601105,32441,904045,-1,-1,488529,863371,-1,764763,882333,-1,234037,747168,222067,-1,801628,-1,-1,89606,-1,-1,942216,-1,-1,636787,-1,166807,3943,535144,294942,-1,-1,-1,848037,-1,-1,713895,786113,-1,279942,72644,-1,288310,282531,640719,-1,418129,-1,899409,708456,-1,-1,-1,788147,-1,768441,613468,-1,135895,-1,391475,-1,684346,-1,-1,-1,480270,-1,448688,153450,-1,-1,275270,443242,-1,-1,-1,206405,356053,952497,270694,881582,-1,-1,-1,933315,681308,-1,989077,353914,-1,-1,245998,983689,-1,541048,776089,14390,-1,194853,-1,-1,618753,18261,381204,711704,938636,247864,-1,-1,425714,332540,-1,830611,-1,418053,-1,71549,641350,53945,-1,282166,-1,-1,109707,-1,-1,548945,513272,589426,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,38684,-1,-1,-1,-1,674492,17298,297484,56818,426938,22180,406470,604509,-1,-1,-1,-1,92825,-1,831877,-1,-1,682275,-1,966250,733715,176480,-1,820142,666405,-1,-1,940882,-1,43772,-1,-1,755079,733031,-1,560287,786495,668699,-1,-1,-1,246212,698212,386505,573093,516882,365958,988333,-1,-1,158400,-1,-1,-1,-1,658210,-1,465545,-1,-1,292331,527277,-1,-1,722459,-1,-1,-1,-1,336128,-1,626271,-1,-1,411541,-1,810118,-1,-1,-1,992020,-1,-1,-1,-1,-1,401022,336901,-1,422698,577003,270560,378182,681408,-1,571794,-1,-1,377340,794402,599539,-1,-1,-1,633995,648035,924392,966758,-1,-1,-1,-1,476254,621394,-1,-1,518846,931042,-1,631824,-1,824920,-1,-1,243026,-1,-1,287674,788751,-1,-1,-1,552098,-1,271346,-1,-1,-1,375941,635952,893014,652939,178932,-1,528585,-1,57070,-1,501120,-1,-1,-1,-1,-1,454585,569986,-1,578337,-1,-1,43198,-1,543008,-1,-1,777722,-1,-1,-1,941487,-1,284938,-1,815968,900162,-1,55748,-1,689883,-1,14165,672267,196779,-1,-1,641246,-1,-1,858718,-1,440252,710934,-1,175963,377093,865063,-1,907904,360363,-1,119368,-1,720791,-1,301505,55255,301985,-1,-1,645465,-1,-1,902327,-1,-1,750695,-1,-1,-1,-1,-1,172347,85079,640123,648776,150969,847994,221277,255780,505906,-1,-1,614403,-1,-1,-1,-1,647805,279180,753897,-1,471563,73720,-1,310725,-1,773352,983206,706184,-1,411673,838380,-1,-1,-1,65922,-1,-1,350489,-1,860122,-1,-1,568430,-1,105023,-1,894048,391976,343876,-1,612817,296073,-1,662383,-1,530923,232451,970459,-1,74989,-1,-1,-1,-1,70048,264800,980129,479141,422285,-1,-1,-1,486893,67037,-1,-1,871979,238759,665786,-1,-1,361847,897921,-1,317305,138390,-1,-1,-1,534292,-1,701645,-1,587803,711513,633651,-1,438698,349309,308652,-1,-1,14565,120615,448603,898958,387329,-1,600869,902075,919005,401459,232307,845533,27049,-1,-1,118550,503064,266066,902223,863960,512215,648455,858594,-1,-1,-1,-1,-1,-1,-1,351676,795100,398927,-1,208517,378934,781654,201712,694474,467351,-1,-1,-1,398351,27620,-1,997704,697757,637599,702850,973617,-1,214549,-1,747713,-1,154293,-1,-1,557828,23311,461888,854034,956238,736687,-1,-1,241980,631726,529204,-1,-1,191039,649047,396584,855897,130503,305892,-1,961195,392952,-1,397301,-1,-1,325999,-1,-1,548056,708013,878921,-1,-1,138962,818965,-1,100531,846797,-1,-1,268260,-1,-1,908375,376444,965313,-1,194037,784252,-1,572333,-1,-1,-1,-1,24933,-1,321699,-1,577757,792489,967502,942112,-1,-1,575260,547732,-1,-1,-1,-1,-1,-1,251382,-1,908509,-1,931702,-1,560658,-1,-1,-1,-1,46300,943084,-1,-1,277814,-1,-1,828865,-1,-1,-1,-1,54935,921327,-1,428706,-1,-1,-1,-1,-1,-1,-1,809852,-1,-1,477000,-1,856615,120035,26054,753270,788903,910346,-1,-1,-1,185229,-1,172371,647460,-1,238172,-1,-1,138499,122436,-1,-1,-1,-1,995806,697656,-1,326719,-1,545871,915605,786443,-1,742765,-1,-1,21086,-1,-1,365705,557582,-1,-1,-1,268375,-1,840650,811166,353537,-1,64517,-1,234210,835004,402186,488266,-1,-1,-1,-1,-1,-1,249823,-1,99562,-1,-1,315671,-1,657988,533748,26001,828907,201809,-1,707315,-1,-1,778852,906709,668697,499150,12844,-1,238001,253448,-1,33565,350464,74891,-1,-1,579085,784799,-1,-1,-1,243683,215763,264746,948088,-1,924582,-1,12074,-1,304682,-1,721820,-1,290831,-1,846297,-1,205305,-1,-1,123687,-1,846817,752497,866738,826615,-1,281895,-1,-1,592524,-1,-1,19865,-1,335852,273991,-1,-1,24792,-1,109012,869876,-1,559104,683382,-1,746696,-1,-1,-1,775266,811590,-1,307114,-1,-1,566918,964498,19059,912494,-1,-1,804282,-1,-1,52927,488967,856603,-1,-1,123846,-1,963312,-1,782555,-1,-1,-1,789649,-1,-1,-1,-1,-1,-1,-1,-1,124598,924106,677458,90392,233716,-1,-1,585772,-1,-1,695700,-1,837099,304281,-1,-1,277062,-1,-1,740159,-1,891311,-1,-1,544851,111408,432479,-1,-1,-1,-1,23120,662171,81049,160371,513663,-1,498064,69128,-1,-1,453508,997730,312554,609212,-1,950866,505289,-1,-1,-1,484587,-1,-1,-1,-1,46715,326373,-1,-1,-1,-1,-1,870483,-1,151327,788619,95661,-1,389051,-1,283960,880444,-1,-1,-1,376171,-1,36525,248432,-1,197385,-1,-1,-1,-1,-1,329576,-1,-1,888316,-1,-1,-1,-1,-1,790964,-1,-1,-1,-1,516398,782216,234557,-1,283612,-1,-1,-1,-1,-1,484491,740981,571916,375747,351514,-1,495941,-1,956326,120864,862451,455818,-1,811089,563907,548313,-1,214429,-1,965069,129986,325044,-1,-1,729053,987446,-1,310733,424521,-1,205082,905549,779458,96667,350161,997711,-1,367913,-1,614270,-1,-1,-1,-1,-1,813987,327138,-1,-1,620034,661321,14428,-1,366766,118805,329721,-1,287557,979023,103138,-1,-1,789680,374238,-1,252070,955001,-1,521875,875405,788576,-1,-1,-1,-1,-1,809455,367907,-1,948770,547007,212065,-1,-1,746240,-1,499337,-1,-1,858588,-1,-1,-1,-1,823845,500380,427555,628602,613252,-1,-1,104383,659804,581955,-1,369611,799903,888561,617511,-1,-1,-1,37330,978080,-1,623253,172097,-1,283625,-1,304489,-1,-1,326239,-1,-1,271563,-1,-1,934688,-1,844847,-1,-1,-1,260115,388076,227722,497611,602109,225184,-1,953902,15977,801170,-1,826668,-1,-1,161713,-1,-1,920948,-1,683611,515085,-1,-1,776422,-1,495779,443873,319909,749566,-1,878493,781466,331840,776583,-1,835203,750218,731262,-1,-1,-1,-1,738188,664261,952882,318394,433332,536365,-1,-1,580561,764276,81157,-1,-1,764064,593662,-1,-1,644916,-1,982137,502403,-1,496695,772393,114352,870268,778592,534405,844627,712955,218588,-1,-1,-1,-1,-1,598355,-1,-1,871652,112640,786334,853727,15867,-1,-1,588632,505397,-1,-1,889872,-1,2066,599829,-1,-1,-1,475295,-1,-1,556125,-1,-1,559905,492416,594976,60554,-1,-1,887307,-1,221645,752501,-1,848564,542747,734605,-1,-1,905291,7993,226962,-1,-1,142840,157518,-1,616604,658860,61197,-1,-1,159430,582881,-1,-1,-1,529540,506415,-1,-1,-1,-1,-1,678554,419275,665969,-1,950494,-1,659435,-1,-1,145842,-1,464666,-1,433192,236062,-1,-1,624647,298718,-1,-1,938192,921204,213874,920010,137071,-1,-1,-1,163571,-1,-1,723801,-1,-1,352950,97355,36739,-1,428947,605617,379243,-1,332758,564704,-1,-1,275184,-1,29856,828625,255061,993650,-1,-1,642571,722980,448322,-1,-1,622538,-1,910210,-1,-1,780523,413462,-1,85947,158799,716928,228521,-1,-1,-1,976641,-1,65719,-1,156216,-1,21298,208992,-1,-1,-1,992583,797805,177046,471582,-1,688487,-1,967098,204482,789018,-1,-1,872981,347324,-1,-1,939851,-1,-1,-1,631091,-1,-1,-1,-1,-1,578998,-1,736648,-1,836513,84005,-1,-1,208999,-1,555409,182694,868694,-1,845028,-1,-1,177357,451753,917292,564539,99996,420986,855020,-1,296173,306144,-1,774161,-1,-1,723071,377667,-1,439403,-1,908001,530767,446083,-1,-1,-1,-1,166574,840837,-1,-1,287746,215882,723280,-1,-1,-1,-1,-1,-1,-1,33844,541201,-1,913339,653570,77175,377647,-1,522802,-1,-1,-1,-1,24516,-1,750643,-1,-1,362569,182046,2460,181348,-1,488391,-1,-1,897628,412861,392894,400162,-1,-1,-1,26617,-1,381887,536518,-1,-1,-1,126973,-1,243929,475311,-1,-1,-1,-1,-1,684970,-1,803714,99692,-1,510171,507863,-1,-1,680806,494536,-1,-1,-1,-1,-1,-1,665680,-1,-1,-1,482949,733635,609820,405653,-1,-1,27415,707512,-1,-1,-1,-1,-1,68386,757687,52128,514528,590215,434143,399822,367987,389035,669736,144642,-1,937199,-1,864550,412372,639124,583998,-1,-1,-1,105809,230491,408689,-1,630128,-1,553641,736342,654348,-1,-1,-1,-1,-1,237710,598578,-1,131168,104621,771438,-1,-1,-1,786061,294719,-1,-1,-1,411715,-1,-1,-1,883270,670839,-1,-1,-1,-1,-1,283185,-1,-1,240705,-1,141887,530215,-1,86350,6458,985860,320025,-1,238582,883033,-1,32194,-1,765841,-1,-1,472777,-1,-1,209533,-1,566513,578296,37082,744062,-1,167598,-1,-1,-1,344334,135943,-1,631600,689666,-1,825153,-1,282275,953461,-1,239981,103049,-1,718816,43767,-1,929753,841273,-1,-1,473743,-1,-1,611558,-1,224781,842828,505118,607668,845342,323482,-1,717675,427837,-1,877915,-1,-1,948959,-1,-1,-1,931727,659049,65572,699457,674497,-1,-1,-1,-1,-1,513050,-1,-1,-1,180810,323306,249868,694434,-1,764319,114858,430935,-1,302583,128375,-1,795802,-1,781635,475030,449367,683884,-1,-1,587036,-1,-1,704516,-1,-1,-1,20667,76534,785192,336998,348655,-1,-1,681585,-1,189562,62498,167389,-1,433199,-1,-1,990577,432744,176041,-1,-1,668768,-1,-1,884837,70309,-1,-1,-1,282756,-1,-1,58018,741133,449006,-1,910795,-1,-1,468580,108931,-1,-1,-1,152691,136873,887116,-1,610461,-1,810928,712187,-1,-1,-1,738024,-1,-1,420422,664498,945819,-1,40406,-1,-1,596329,-1,-1,731506,-1,744385,-1,-1,-1,-1,-1,499925,-1,-1,-1,-1,790749,-1,-1,-1,-1,-1,540098,-1,-1,-1,171911,-1,-1,-1,-1,-1,-1,-1,-1,-1,729932,-1,363421,-1,229139,-1,-1,-1,426814,-1,-1,-1,-1,829842,-1,-1,299421,-1,-1,-1,-1,-1,-1,-1,261358,243604,15603,-1,-1,213438,58143,-1,-1,481804,604094,967394,281636,854524,-1,884860,-1,912004,702160,407758,-1,478127,-1,-1,-1,179650,-1,96082,227933,-1,-1,-1,-1,-1,-1,986060,917885,-1,-1,657973,-1,825370,-1,-1,774058,-1,-1,-1,-1,19745,147904,-1,620817,-1,896030,-1,104720,-1,101130,298682,-1,951076,-1,-1,869802,64328,261357,938605,-1,-1,-1,-1,458447,-1,517171,421201,-1,-1,254036,-1,223589,458,-1,-1,390344,-1,904153,982987,-1,98990,-1,116635,-1,233997,973986,-1,-1,307387,-1,-1,403362,357863,-1,932889,-1,-1,400016,-1,-1,243597,586197,995633,250251,-1,311018,15935,-1,358883,952986,-1,821558,323555,-1,826522,630469,711012,431331,-1,81748,596105,517,-1,-1,122672,209782,783058,-1,-1,-1,954793,-1,-1,129143,174836,-1,942151,122658,831986,71222,-1,886116,620261,75052,573389,718442,713651,-1,-1,391397,-1,-1,797771,-1,591,754148,-1,-1,802232,913484,-1,-1,-1,-1,-1,-1,-1,955273,-1,-1,-1,145044,696261,-1,556124,-1,-1,132801,-1,-1,-1,-1,-1,-1,-1,-1,405894,378394,191599,478389,679843,582762,-1,779389,-1,-1,226431,356649,-1,-1,776760,-1,14529,-1,-1,-1,279463,-1,401780,998431,-1,514932,-1,-1,903606,-1,-1,906488,-1,-1,997878,-1,756979,278562,108228,-1,874456,-1,-1,-1,-1,-1,701393,867133,-1,-1,-1,688507,-1,214246,-1,93626,948979,-1,491281,-1,440423,-1,-1,-1,897955,-1,974954,406211,887478,382668,306488,-1,832718,124901,53608,59728,502825,-1,372130,-1,420808,-1,-1,524907,-1,632222,200121,637953,-1,-1,829809,39865,974358,-1,-1,-1,26544,698056,323580,225402,-1,-1,-1,855871,42827,384275,-1,-1,99283,117196,746869,233256,-1,238105,-1,160340,719417,-1,422777,-1,698751,-1,-1,-1,-1,-1,-1,506240,-1,531454,372953,413234,-1,-1,808943,-1,-1,13552,-1,-1,-1,-1,791022,-1,-1,672568,282105,316704,-1,-1,845789,92895,-1,-1,471959,-1,-1,259931,746847,746283,175346,567456,625218,-1,-1,-1,403853,-1,-1,665208,481133,-1,-1,304780,-1,-1,347771,693340,112556,259780,-1,497571,-1,795688,-1,-1,-1,981625,-1,694286,892182,751443,344318,-1,-1,494129,962004,346335,702754,-1,887417,777515,-1,697137,-1,-1,-1,469678,658071,-1,-1,-1,800845,-1,486436,100957,828534,-1,-1,681041,636242,499597,466467,241708,-1,-1,-1,-1,-1,389323,-1,-1,425154,974393,-1,-1,-1,17701,401619,518732,-1,371136,709144,358278,-1,-1,397058,407152,891371,121894,-1,-1,-1,-1,108212,-1,-1,-1,60919,361273,-1,-1,671438,-1,254070,-1,214583,-1,-1,331531,921737,267390,539277,-1,-1,-1,160305,459536,250433,714022,-1,416671,838017,-1,620501,430573,-1,-1,63079,-1,-1,441651,-1,-1,-1,-1,654248,-1,-1,-1,586912,-1,-1,363112,374434,789051,-1,277515,672246,794454,831312,880682,265867,-1,-1,706380,594496,-1,240322,-1,833117,-1,565934,-1,764067,80998,-1,77277,-1,-1,916102,-1,-1,576946,553532,-1,-1,-1,-1,478333,541493,-1,287070,-1,689346,765564,393135,-1,81502,-1,505493,-1,208201,-1,-1,634922,409832,421061,-1,-1,-1,590722,-1,928776,-1,-1,-1,967690,-1,-1,576648,-1,-1,-1,294601,-1,992739,-1,-1,8777,-1,-1,670229,-1,158547,321107,641590,524248,-1,-1,-1,945225,14275,-1,787962,-1,348885,209739,-1,-1,995025,-1,-1,-1,-1,-1,-1,738001,7210,-1,-1,-1,-1,481775,-1,-1,602557,-1,763999,-1,-1,-1,344021,724888,-1,376815,993814,-1,350145,63156,450891,-1,939863,660134,-1,-1,-1,461485,33125,303036,-1,-1,633173,44367,320482,-1,318127,804927,-1,257235,-1,-1,660024,80122,896656,626375,775828,320116,-1,273840,116430,-1,-1,547453,-1,-1,-1,291728,-1,-1,-1,660755,561742,-1,407670,63592,-1,-1,926428,-1,975244,-1,-1,680580,-1,-1,-1,-1,683638,-1,792643,-1,-1,-1,-1,134441,-1,-1,-1,271393,-1,-1,-1,744547,326291,-1,-1,-1,-1,309936,647199,-1,-1,-1,-1,715250,909894,-1,-1,845805,-1,-1,-1,870580,552063,-1,-1,253674,141212,-1,-1,185607,-1,-1,-1,-1,392742,-1,28671,608536,-1,-1,909525,-1,503793,-1,698156,81965,-1,-1,-1,876398,-1,-1,-1,347556,318942,242639,205034,-1,51241,483567,564192,-1,-1,671750,-1,953511,245936,728156,-1,879614,709728,-1,-1,-1,609834,875426,-1,387803,-1,-1,-1,-1,-1,183750,108652,-1,-1,-1,589638,633383,-1,242083,800649,-1,935185,-1,375404,-1,-1,-1,572763,272229,929165,241176,978990,91910,670338,607658,57841,160221,-1,394598,803668,-1,47313,-1,-1,754597,-1,667479,794861,509851,317672,-1,433982,-1,-1,378502,-1,-1,390641,931400,297790,-1,-1,371627,196666,560773,752669,397283,525521,23279,-1,96731,-1,-1,732669,682435,690730,-1,617285,176115,874814,367273,288494,991452,529667,-1,-1,-1,-1,507962,-1,312252,895015,-1,-1,-1,314218,562136,717005,865626,-1,-1,393100,-1,873662,16506,955887,-1,-1,-1,594201,-1,853235,425997,770919,-1,-1,-1,962854,-1,35685,941302,-1,-1,416129,568980,-1,943983,77375,592394,-1,-1,-1,267672,-1,-1,940596,-1,-1,-1,-1,-1,-1,-1,-1,-1,277154,905110,-1,933482,-1,-1,-1,605609,-1,-1,-1,-1,971675,942410,502358,314335,509431,-1,122932,59963,-1,313153,657172,-1,543155,68143,325959,-1,409852,-1,671977,385489,329514,-1,-1,519159,-1,-1,9935,451672,819770,-1,852939,-1,-1,-1,-1,-1,-1,895767,187562,-1,-1,-1,-1,916830,-1,735206,91716,-1,769486,-1,282851,-1,902294,-1,782246,643411,-1,-1,-1,433894,-1,-1,19486,187691,-1,-1,7318,370002,-1,-1,-1,384956,103175,220832,446322,-1,-1,-1,-1,-1,-1,516108,-1,-1,283464,-1,526230,951785,-1,-1,529916,-1,-1,806304,-1,-1,-1,-1,-1,739533,365770,-1,-1,811360,549846,747135,968751,-1,841593,-1,-1,-1,705064,69058,-1,-1,-1,-1,531635,-1,502448,903937,798944,860678,-1,97262,-1,892750,-1,106172,-1,-1,-1,515798,325575,90606,-1,-1,-1,-1,-1,965462,-1,-1,372193,551868,136036,-1,186688,-1,902279,-1,-1,-1,191129,-1,-1,917445,36918,-1,-1,-1,-1,-1,-1,904877,-1,-1,-1,894091,-1,-1,-1,-1,-1,-1,593391,93853,71775,-1,-1,395755,-1,-1,-1,-1,-1,-1,-1,370037,999748,869565,-1,-1,-1,858513,-1,217561,-1,911285,923503,-1,284352,-1,931534,274560,-1,-1,943174,-1,465626,-1,711405,335598,-1,-1,-1,868792,-1,549905,-1,724157,-1,774290,-1,-1,987604,484518,-1,-1,877938,933866,-1,-1,174044,549106,312466,344760,-1,135046,333699,638700,83181,-1,-1,-1,-1,-1,-1,-1,445231,-1,150975,-1,942060,133685,502201,-1,961277,-1,-1,34388,-1,961225,-1,319947,532986,-1,268279,512500,-1,864591,-1,692259,-1,-1,-1,-1,237298,861116,-1,777068,597129,529643,367004,-1,-1,23333,617153,-1,-1,-1,-1,839888,-1,433474,-1,-1,426924,590654,-1,-1,423865,-1,-1,-1,128955,758969,-1,-1,-1,969692,803349,-1,-1,164849,759323,-1,933624,-1,30092,38451,495667,-1,-1,477731,890982,-1,7659,207654,-1,-1,-1,899381,-1,500237,-1,246107,-1,-1,-1,497754,783670,-1,151475,256801,-1,-1,222620,-1,594603,667454,-1,708356,739026,-1,-1,-1,-1,850639,-1,469646,902145,384032,-1,458752,599315,-1,843538,191478,-1,221045,-1,-1,-1,848702,317051,-1,-1,-1,-1,-1,145820,161231,-1,-1,-1,-1,-1,-1,725413,481174,310859,455623,-1,507636,640528,448973,398836,640499,806811,419272,-1,391081,629493,380655,319855,883954,14061,-1,670519,742098,396657,-1,-1,-1,115097,333986,-1,-1,77110,-1,162707,-1,104573,577905,-1,-1,968325,288984,917061,4863,494892,99791,-1,183752,-1,-1,-1,388648,491121,69424,-1,734058,847997,-1,997770,2315,-1,364533,246959,-1,-1,954691,-1,946457,-1,984627,687876,578448,-1,824234,-1,39675,403445,-1,659534,-1,284594,268413,188869,-1,-1,-1,504813,915522,-1,-1,-1,-1,16013,-1,457225,44457,-1,445013,229909,884872,-1,-1,-1,-1,129925,-1,323677,-1,-1,-1,-1,780913,592666,607959,-1,-1,-1,-1,146684,-1,160827,756060,785539,695806,334972,-1,345913,75547,-1,-1,745431,-1,-1,305270,-1,925067,727531,-1,-1,799095,-1,227157,50090,359817,-1,325412,915775,129160,-1,-1,906864,-1,-1,925391,540053,-1,478179,-1,264735,-1,-1,216156,687792,649595,38251,460757,56376,108081,-1,871975,-1,-1,944335,-1,-1,789900,-1,-1,143128,-1,212303,34090,-1,103237,-1,-1,-1,431740,143872,-1,915869,-1,-1,818470,789977,-1,-1,253173,409305,-1,-1,788982,59309,68987,-1,164789,-1,-1,178781,393699,-1,-1,624420,-1,309235,56603,279186,363608,-1,785224,403019,557440,-1,-1,379390,-1,254974,163778,-1,-1,614658,-1,-1,-1,169509,-1,103439,615683,-1,267135,511394,-1,34666,938140,697554,-1,118553,758721,-1,39086,859171,-1,905838,-1,-1,-1,-1,-1,6294,-1,254834,-1,-1,-1,-1,-1,193153,55769,610131,-1,-1,281999,950308,-1,603782,-1,589671,-1,800489,826114,991316,-1,-1,648804,-1,279795,-1,-1,-1,-1,838498,-1,-1,233392,-1,-1,759108,382322,-1,-1,709400,-1,-1,-1,-1,74947,-1,199424,716562,-1,191630,-1,996312,-1,747908,-1,-1,-1,-1,-1,-1,725589,-1,-1,-1,-1,-1,-1,856195,-1,-1,-1,-1,-1,680356,-1,420083,-1,-1,-1,856916,715543,591576,-1,-1,936394,-1,147430,-1,596828,-1,394597,226311,-1,-1,531575,-1,-1,924632,568648,-1,-1,890013,-1,128930,381893,831903,612728,476507,-1,-1,-1,418501,-1,-1,-1,-1,744219,-1,73593,-1,303894,-1,-1,11735,-1,-1,288003,-1,-1,-1,336477,694499,-1,-1,579659,212274,-1,770355,-1,-1,401710,102659,-1,155052,-1,938179,-1,-1,883599,605646,688685,-1,774152,-1,-1,-1,17492,366631,992881,847814,706641,-1,-1,-1,793118,-1,431861,483671,339577,-1,-1,-1,-1,497959,-1,589159,133736,160193,927747,356091,-1,259710,568212,787219,-1,281256,768598,-1,-1,-1,555736,-1,934015,518908,388630,237367,947261,-1,210187,-1,547417,-1,204763,670261,571043,-1,273301,710836,-1,823263,-1,-1,178970,627506,964390,715050,205936,-1,-1,-1,-1,-1,-1,537916,897193,-1,-1,-1,542371,804647,-1,-1,-1,-1,81654,-1,-1,-1,149685,124902,-1,245889,-1,-1,-1,-1,359091,206340,399853,-1,-1,-1,-1,-1,119285,954374,-1,-1,688056,-1,-1,331145,-1,-1,-1,-1,244116,-1,791573,265212,-1,350605,-1,644004,841307,568538,857388,-1,-1,-1,-1,-1,-1,507069,-1,-1,756430,413839,-1,-1,-1,-1,808865,255154,989833,432827,8429,-1,-1,361890,-1,367654,-1,-1,-1,835326,453861,693414,-1,463809,643545,659845,422018,-1,720606,265721,59872,-1,-1,-1,356088,-1,-1,278663,939887,210287,-1,-1,591289,754782,-1,-1,-1,-1,-1,925460,-1,657131,533842,-1,625476,973310,-1,-1,939014,89644,-1,-1,-1,-1,-1,-1,-1,-1,269961,490022,-1,71244,629456,669998,-1,783924,738760,-1,708468,-1,347290,789640,160496,-1,109043,140382,309483,-1,418349,767948,-1,689379,-1,108296,-1,106448,-1,-1,-1,254420,-1,-1,711343,-1,-1,-1,987611,470019,23921,220960,93097,-1,152823,-1,40938,569443,506191,636995,44491,-1,-1,-1,-1,11018,772092,-1,-1,183486,109712,-1,26021,-1,835874,-1,931064,-1,-1,-1,-1,-1,-1,72317,855003,-1,486202,65147,-1,249800,999759,-1,-1,197144,732842,907651,327688,-1,-1,-1,-1,720329,229065,829077,95120,-1,785095,-1,-1,412622,-1,-1,818370,756423,-1,-1,93764,-1,989006,350641,-1,-1,907313,-1,591487,-1,-1,988285,-1,-1,710506,-1,86478,-1,-1,829985,-1,-1,-1,229619,-1,-1,999585,-1,-1,830297,844042,-1,-1,679508,-1,-1,-1,-1,4756,-1,-1,461771,17894,751077,-1,245831,-1,-1,-1,717246,-1,405996,986557,-1,548725,957202,-1,894454,-1,947497,-1,311116,615271,-1,-1,-1,51398,847775,-1,-1,-1,-1,826875,644421,-1,-1,-1,458770,745217,341658,-1,206972,41503,-1,-1,-1,85436,-1,875830,-1,447530,-1,-1,-1,865216,717774,-1,-1,-1,-1,-1,326568,-1,-1,571408,-1,-1,962060,980322,-1,-1,790735,-1,-1,-1,9529,619274,689892,781501,-1,8409,-1,695057,-1,-1,57969,865022,-1,-1,495291,336741,-1,-1,-1,197408,515102,53500,90982,-1,-1,752163,-1,-1,-1,-1,-1,-1,-1,-1,498821,944382,-1,-1,307909,-1,-1,758217,-1,-1,-1,-1,-1,803740,-1,-1,-1,145229,501817,940961,-1,742728,-1,430429,-1,-1,-1,68346,444291,741343,-1,-1,400884,644284,672454,593092,-1,505895,553355,-1,683489,500990,336564,-1,579577,-1,973901,-1,-1,-1,-1,317274,-1,-1,-1,583292,604140,-1,51826,253151,925904,-1,-1,-1,-1,320343,-1,685127,982382,181697,570665,452613,140702,-1,673693,-1,242331,186088,-1,858834,192826,-1,-1,-1,157540,-1,-1,64794,-1,-1,825894,-1,-1,-1,769898,36477,897245,-1,-1,-1,827549,621964,-1,-1,-1,223348,216007,-1,-1,483146,-1,665084,-1,413025,206448,-1,-1,-1,-1,-1,-1,818592,-1,770058,-1,-1,-1,790778,50122,-1,459271,-1,-1,180664,15056,752701,-1,-1,-1,-1,278026,732632,-1,47398,264461,496127,840264,915615,-1,551169,109814,483123,644232,753313,-1,-1,-1,-1,-1,562611,138466,-1,-1,315863,860567,-1,-1,757986,203733,812591,643205,862761,-1,-1,943535,-1,-1,-1,-1,991690,-1,-1,-1,189133,-1,-1,380415,-1,-1,100244,-1,961498,-1,-1,-1,72653,-1,300950,-1,-1,419107,69280,-1,-1,-1,920158,605493,754573,707278,551464,-1,-1,31338,-1,-1,855194,171986,-1,-1,457407,186066,936422,430427,-1,-1,-1,95962,-1,529381,-1,446194,522103,-1,554793,-1,352276,798997,-1,572066,-1,-1,-1,817813,-1,-1,433771,520317,294860,-1,772375,-1,-1,-1,-1,-1,-1,402258,770492,-1,-1,61912,20930,-1,143098,-1,251121,574021,-1,-1,-1,-1,866547,-1,-1,355066,35324,750761,-1,960653,54864,199686,-1,386267,631358,-1,442252,876260,-1,120843,-1,-1,479349,520247,711833,957458,920868,18372,827554,-1,613332,569267,-1,585821,-1,-1,986014,-1,-1,928571,287024,216015,-1,-1,359886,663976,-1,484029,109070,-1,865144,-1,641381,-1,666723,-1,-1,-1,-1,-1,-1,-1,940939,-1,933198,886708,315164,262956,445870,880204,-1,-1,968126,-1,-1,212782,54651,287365,117567,-1,919202,562878,-1,-1,763053,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,237242,-1,341080,886460,-1,-1,700276,683908,-1,-1,-1,-1,221149,515412,-1,999677,30290,80435,596660,-1,554988,209825,-1,603441,617801,846150,-1,246856,-1,143568,543288,890477,-1,-1,553983,744981,-1,367898,941048,69526,-1,-1,975942,-1,774526,132569,192882,-1,-1,77591,-1,-1,213363,492628,116356,433890,-1,271076,813265,837261,-1,-1,-1,-1,115505,-1,-1,965329,932581,-1,295172,-1,-1,28070,-1,307817,383542,-1,595295,-1,117535,605032,381169,335982,376500,-1,869188,-1,-1,-1,-1,-1,378063,-1,131735,132924,-1,-1,-1,282796,484169,362659,426312,691465,-1,839794,974453,-1,979542,-1,852927,-1,-1,743781,239259,-1,64263,-1,-1,255219,58349,171185,443371,-1,66033,8883,771199,-1,-1,485481,-1,240665,813444,-1,-1,796187,-1,471796,-1,430609,692231,782251,319046,267365,-1,-1,-1,523138,-1,315208,-1,209487,-1,942989,27,263321,-1,748665,754748,-1,741278,-1,257725,-1,624881,-1,756131,227350,-1,892001,439357,243698,639599,-1,-1,-1,-1,907498,-1,-1,164674,663534,-1,399139,737766,-1,-1,700191,146053,-1,-1,-1,-1,667166,-1,101988,-1,250529,-1,49086,297571,185604,618136,600146,599452,623930,224023,-1,-1,929285,-1,999586,-1,-1,-1,-1,-1,950506,-1,338289,208879,11557,579431,933154,-1,-1,-1,236874,-1,-1,-1,93208,-1,244310,661611,-1,-1,-1,157162,-1,-1,956478,-1,134940,-1,-1,-1,130364,774687,748848,-1,28630,385550,-1,-1,-1,670982,-1,333306,-1,-1,-1,585640,-1,-1,211984,-1,632523,293012,-1,357541,-1,-1,-1,454324,323376,538516,437471,-1,572049,-1,-1,-1,-1,-1,-1,873703,-1,-1,-1,493055,-1,649014,31154,-1,-1,872267,264007,-1,-1,465079,774508,-1,-1,-1,-1,940133,-1,-1,-1,-1,-1,42455,208425,413197,714725,-1,-1,-1,-1,529281,-1,189138,705641,-1,-1,-1,-1,174036,-1,718164,370141,-1,-1,-1,215449,262847,680134,-1,593277,-1,660067,247211,-1,-1,260494,605257,303413,-1,-1,-1,193791,-1,-1,399506,-1,281424,-1,-1,26430,989277,577517,476999,-1,320757,-1,918623,674670,-1,717310,460558,87599,-1,445881,-1,-1,-1,214419,844800,409902,989923,380057,-1,769183,-1,-1,-1,578657,118318,-1,-1,370380,-1,729623,-1,793672,-1,-1,44435,-1,514853,-1,-1,962749,-1,-1,51563,312315,599835,323615,-1,-1,-1,-1,117322,375549,827331,826803,-1,865838,-1,714704,719622,-1,135470,-1,114205,516535,-1,-1,281550,-1,388438,316526,660696,203656,518152,-1,-1,759312,-1,-1,922721,647243,859408,-1,7965,982398,-1,633893,626181,-1,971141,464931,-1,769812,-1,-1,371875,-1,957370,-1,-1,-1,-1,562258,-1,633745,-1,-1,-1,785857,-1,846438,717066,-1,-1,760799,998450,27868,-1,-1,89762,642136,576811,-1,636347,-1,489247,446957,866013,-1,915101,-1,-1,895424,984914,-1,-1,664710,-1,-1,-1,553937,938715,830010,137591,403565,-1,-1,712848,3963,-1,-1,23187,613511,567817,602870,-1,-1,574315,-1,91256,437321,-1,930325,258309,909057,49408,-1,-1,-1,-1,-1,-1,558890,-1,428303,846681,2787,-1,-1,-1,-1,681111,-1,-1,614300,-1,634632,-1,980628,85008,-1,-1,240415,173806,-1,17154,-1,-1,-1,4636,-1,26691,776211,-1,862747,-1,971315,-1,-1,112683,-1,-1,823476,803931,696403,88820,-1,-1,594746,-1,697239,554925,859186,-1,-1,566806,210165,779737,651099,400662,229005,661306,881389,512963,-1,-1,-1,-1,-1,961587,806891,520348,-1,382970,-1,-1,-1,-1,-1,-1,-1,-1,476887,-1,827049,-1,88878,-1,273763,330649,-1,77436,58992,-1,517064,966091,-1,541092,968094,-1,361503,513025,-1,476998,-1,859206,597243,-1,28507,-1,-1,871630,-1,502599,211411,328485,-1,-1,-1,-1,442636,-1,679720,961369,989698,116044,359856,-1,-1,467179,-1,-1,-1,822273,358054,233560,530075,599320,-1,-1,942234,-1,9178,333122,-1,-1,938008,704658,-1,-1,787058,198078,692487,-1,501809,347848,48342,-1,327182,902425,501572,910927,-1,821185,673072,528002,-1,-1,817285,-1,-1,857372,-1,202917,-1,-1,-1,201437,-1,-1,-1,31064,281129,-1,328743,-1,144089,238892,-1,-1,630977,-1,-1,-1,999186,41781,-1,388691,-1,-1,56739,117978,586831,-1,920166,-1,462353,135870,-1,541726,340564,840043,-1,759272,-1,-1,-1,-1,-1,712391,913401,869378,-1,453023,931655,-1,439191,869026,610750,344014,977557,876203,459746,926778,248246,-1,31767,-1,917265,112975,382298,-1,894570,331668,171700,-1,-1,833262,-1,-1,-1,720623,785715,-1,636806,85188,-1,-1,888179,868102,-1,237257,-1,-1,400706,676872,579739,-1,-1,927740,391219,-1,481067,-1,-1,862503,854787,-1,-1,-1,-1,-1,491290,-1,223183,135445,507417,431545,278419,353263,-1,-1,-1,-1,-1,431387,530569,319789,-1,-1,-1,205743,511042,-1,235907,-1,800631,-1,-1,438069,654658,-1,901031,-1,506140,526278,-1,679535,174121,721564,-1,291466,864279,-1,521428,-1,461685,982782,-1,5057,748202,-1,-1,800883,-1,988698,309207,296421,-1,105623,-1,-1,-1,310278,811207,-1,766438,531696,-1,225336,468593,-1,-1,-1,-1,806706,642102,-1,859126,897406,-1,-1,366032,792303,618201,-1,-1,47088,-1,-1,-1,723614,676102,-1,-1,888931,706256,274156,-1,-1,400114,157265,335220,820194,-1,-1,613230,-1,-1,-1,-1,-1,-1,693524,192704,514048,-1,546301,-1,602024,848226,548802,218421,135566,-1,-1,-1,-1,955164,-1,-1,839554,-1,-1,926786,224440,122739,288131,952133,721859,23559,-1,148268,-1,-1,-1,987713,806536,-1,792434,-1,677574,-1,757369,-1,-1,802246,364642,256003,561307,-1,719528,-1,765521,377367,563793,-1,-1,220364,881337,251311,-1,772516,808616,-1,11663,953532,-1,-1,-1,-1,605859,974021,180470,803425,-1,546005,349461,-1,133027,544184,-1,786771,-1,-1,451243,-1,715523,-1,372271,-1,-1,465445,552660,735364,947407,839990,-1,-1,989886,-1,903460,-1,-1,360552,-1,798898,-1,734085,-1,-1,-1,454017,386910,-1,635290,-1,-1,-1,141354,-1,702201,293979,836228,116128,765436,523730,-1,-1,-1,722637,-1,-1,806950,377395,-1,-1,-1,61261,215340,-1,-1,451654,294323,-1,-1,-1,679335,686532,803361,-1,920088,896440,982142,-1,945874,371154,821442,-1,532203,224512,374564,175737,692345,-1,-1,6021,607387,544402,-1,501198,-1,-1,117419,281581,418520,-1,961648,-1,709857,235866,415540,799709,394580,799284,-1,774215,-1,402003,31066,727893,216123,254649,-1,726600,701981,447559,599431,-1,591022,-1,-1,-1,-1,647937,3162,-1,424942,-1,-1,101215,-1,-1,-1,449212,-1,-1,565659,-1,112852,748543,559323,-1,-1,-1,378509,746009,-1,-1,519220,707773,806580,-1,-1,757208,651877,-1,667935,370305,-1,793311,289838,-1,728753,-1,854601,455995,33524,-1,-1,274444,554227,-1,-1,189022,-1,-1,-1,461333,440305,-1,-1,-1,-1,-1,25978,509737,-1,612758,502715,356427,-1,438917,35562,-1,810049,-1,965583,621434,608280,295876,52396,-1,-1,-1,210248,935909,610856,-1,747051,-1,411481,-1,897142,-1,-1,168334,10015,126384,533297,-1,-1,-1,-1,295947,626161,-1,-1,-1,-1,38093,11245,950311,-1,4539,-1,323197,37138,742101,124146,-1,131347,-1,850209,-1,767169,280266,718577,193631,-1,686554,-1,-1,549122,219341,-1,-1,-1,763101,298506,454809,890096,-1,-1,-1,-1,208760,-1,-1,-1,-1,-1,833958,292837,-1,-1,-1,305962,-1,-1,962155,-1,-1,-1,-1,-1,262063,558498,-1,420186,349942,-1,-1,-1,409708,115948,-1,-1,186647,765591,-1,802129,-1,-1,96687,-1,55533,218928,352494,-1,-1,663476,-1,633814,413533,-1,-1,-1,274702,-1,-1,-1,-1,395944,864141,-1,827804,-1,540516,672272,-1,-1,-1,-1,-1,-1,705555,-1,-1,-1,462841,455484,829349,536108,-1,-1,-1,227799,578048,7021,-1,172641,399671,779375,938033,457256,325598,-1,268708,358755,574161,874453,434456,237222,-1,-1,-1,78408,-1,-1,-1,390808,267307,-1,71161,952501,-1,-1,803632,-1,40292,-1,725617,515264,-1,433663,-1,-1,843302,-1,43293,211797,150017,314144,-1,-1,741425,542128,953614,-1,-1,102132,149616,-1,-1,602428,349012,-1,401976,-1,262611,127710,697098,616588,-1,-1,-1,970896,-1,-1,-1,741238,187422,696272,-1,295422,275371,-1,350294,-1,680829,280181,-1,-1,194976,-1,-1,-1,-1,612403,-1,-1,-1,-1,106259,2429,912618,377434,298282,888452,-1,-1,-1,-1,175628,540532,150668,-1,-1,609449,915825,-1,592097,619741,751122,-1,631677,421202,-1,-1,-1,551259,-1,-1,-1,-1,-1,913658,402038,-1,-1,936349,564803,70245,-1,455114,-1,934110,-1,914702,162582,853820,396821,-1,-1,-1,-1,343830,184260,956340,403536,832131,-1,500455,-1,799026,825616,555535,-1,-1,-1,-1,-1,-1,518787,313260,-1,-1,-1,-1,-1,-1,898768,-1,264074,958323,426195,-1,-1,-1,941802,993895,387272,78662,-1,-1,319945,613246,355458,-1,-1,980954,-1,795261,645688,-1,-1,725433,-1,-1,-1,-1,-1,132892,-1,-1,-1,390872,86915,-1,600402,566127,-1,-1,-1,960068,-1,825277,-1,-1,884558,36600,146639,-1,-1,361912,-1,147490,405693,-1,-1,-1,-1,610022,660448,820489,102537,1255,444708,918719,121308,-1,-1,926794,549169,547613,-1,-1,165222,-1,312934,-1,403903,275931,-1,45359,-1,616496,-1,32205,355697,839958,-1,868427,107359,351179,-1,-1,-1,-1,-1,576987,972939,219449,-1,662320,-1,848957,95896,575473,-1,778665,-1,101365,356347,-1,-1,-1,202758,-1,540856,-1,156175,-1,-1,413762,-1,398254,378585,-1,394719,352213,-1,250092,-1,281003,529171,-1,-1,-1,-1,637279,747828,781811,139746,-1,-1,759120,-1,-1,-1,-1,737929,978606,-1,-1,-1,-1,-1,142759,-1,-1,-1,-1,453619,-1,280227,-1,-1,461549,399612,-1,-1,634926,183707,569408,-1,-1,-1,323785,467772,-1,-1,-1,476191,-1,-1,720902,-1,869356,-1,-1,-1,-1,-1,-1,-1,216087,248931,121923,938372,82537,177863,-1,635986,983081,185580,-1,127538,-1,58829,271190,986993,998104,-1,772741,388356,-1,256415,990631,148824,-1,-1,587903,962226,-1,848392,344225,842189,-1,937444,-1,-1,-1,-1,-1,334070,514644,-1,-1,-1,539536,-1,-1,-1,688538,-1,37876,-1,-1,-1,955381,447700,-1,103071,987466,635023,-1,45711,560447,619331,516087,-1,663109,-1,-1,-1,-1,400980,-1,-1,-1,216217,-1,768107,-1,936848,-1,643238,-1,-1,-1,117674,-1,-1,590998,-1,-1,451803,905223,-1,-1,-1,-1,-1,-1,-1,-1,89273,-1,395255,-1,-1,800551,-1,-1,-1,-1,-1,-1,440993,-1,-1,500958,722116,-1,-1,250639,320555,40128,-1,440819,-1,574746,948981,315653,-1,-1,-1,-1,416918,357736,171217,589213,203867,-1,-1,-1,504468,-1,-1,-1,-1,-1,-1,-1,-1,963359,-1,79926,-1,-1,806707,866865,680604,657066,222824,391639,296351,-1,-1,-1,-1,-1,36991,-1,-1,414102,300335,-1,-1,205978,214741,104255,-1,393780,-1,151420,982844,-1,-1,75191,-1,-1,22315,-1,-1,-1,-1,-1,115404,380338,532172,245635,-1,782009,-1,974610,-1,-1,468686,-1,266612,-1,-1,600597,551071,-1,-1,-1,-1,447595,74486,621202,-1,599212,285695,779400,-1,-1,-1,587544,-1,-1,779660,-1,550702,523713,-1,-1,273997,-1,-1,-1,-1,-1,517263,-1,-1,-1,-1,609078,712792,-1,-1,441949,-1,-1,-1,532488,303775,-1,-1,29914,-1,-1,-1,-1,-1,87478,323420,557157,-1,439056,-1,-1,477754,-1,-1,634075,-1,105153,-1,277866,-1,387148,349254,629476,868392,682833,26120,587231,182463,-1,237599,-1,446157,21759,834304,847004,768118,140093,583451,-1,-1,800468,639927,-1,952008,-1,-1,808153,-1,471013,-1,-1,-1,-1,556228,-1,-1,57103,548752,-1,-1,-1,15798,437218,611348,-1,-1,-1,399823,-1,538028,81887,957752,-1,242119,-1,553247,488674,-1,-1,93096,-1,421268,-1,299080,-1,384476,-1,504692,-1,185713,69910,724255,-1,467265,-1,766775,-1,92512,-1,-1,83846,-1,-1,-1,-1,-1,-1,604118,-1,-1,276026,843774,-1,36728,-1,-1,-1,-1,882857,-1,602262,214195,-1,944303,-1,-1,-1,548883,962963,-1,-1,512607,299114,-1,-1,-1,-1,120812,-1,-1,-1,630217,-1,366037,402073,-1,266617,-1,-1,650133,92038,-1,476515,-1,885040,-1,-1,494957,181805,631938,-1,-1,123612,-1,-1,-1,-1,-1,-1,-1,988068,446391,-1,-1,962547,969545,979753,674010,19267,205761,-1,-1,699391,-1,-1,371453,-1,923883,-1,608228,-1,-1,-1,737504,148458,-1,-1,-1,-1,903999,191557,-1,-1,-1,444889,-1,619894,-1,-1,724079,11242,-1,761491,-1,153628,537358,289600,385491,-1,-1,-1,497123,-1,459578,371238,257975,-1,-1,-1,729021,-1,-1,896647,822677,289658,-1,-1,265187,898303,856408,554733,476116,-1,-1,-1,-1,-1,-1,793539,-1,416783,-1,-1,-1,812156,-1,603352,729985,-1,465819,-1,801515,-1,461489,163846,524967,66902,-1,930558,467449,674587,-1,-1,287106,-1,175456,46978,984751,320418,-1,-1,375969,63282,-1,-1,671136,107837,-1,107195,-1,328999,699780,645659,-1,-1,-1,947208,-1,750960,693225,-1,-1,-1,289232,380216,-1,719904,240477,-1,-1,225171,-1,30856,331889,-1,662094,577116,-1,-1,369781,400838,-1,-1,-1,17925,2973,951359,151944,320503,808899,199932,654390,-1,561856,566419,711896,-1,-1,927050,923766,10849,35227,453336,-1,-1,-1,870987,89280,-1,-1,467962,693557,-1,44215,-1,-1,-1,-1,-1,171182,199807,107698,129628,-1,-1,559633,-1,-1,689065,966018,537268,595995,-1,-1,-1,-1,-1,170831,-1,-1,935320,547691,565971,717968,-1,239108,331422,-1,-1,798630,-1,-1,-1,-1,6997,628249,-1,-1,140875,9173,-1,-1,-1,966902,-1,33312,-1,970025,-1,-1,931005,-1,783013,403916,422552,975211,463063,-1,141379,-1,-1,530325,430448,-1,-1,-1,835629,788753,693253,220439,236677,54910,520949,-1,25183,965098,-1,271764,-1,-1,-1,-1,993504,-1,-1,908295,-1,-1,63767,-1,104941,-1,-1,-1,-1,-1,-1,942785,-1,210481,-1,-1,647285,178158,778851,-1,-1,-1,348241,794918,-1,-1,-1,-1,48506,-1,-1,-1,569337,-1,-1,371397,-1,-1,24780,-1,728758,355544,587016,-1,29644,-1,735866,935957,155468,921523,-1,-1,998004,288482,865605,-1,317660,-1,719982,-1,-1,801654,-1,-1,-1,439735,-1,-1,897723,-1,-1,-1,204096,-1,194676,943106,829337,20099,250471,878215,-1,-1,-1,-1,-1,363810,-1,19633,-1,-1,-1,59490,-1,659207,-1,689230,920498,411459,505865,778873,-1,279754,-1,-1,-1,664020,822078,967149,-1,325195,-1,168381,506747,802938,604936,-1,-1,354269,338194,920686,-1,-1,272805,-1,-1,-1,725046,-1,763875,200475,-1,-1,-1,955452,-1,505287,286700,795801,-1,706313,53853,-1,-1,-1,-1,-1,-1,-1,-1,610120,342589,314521,836470,-1,-1,559327,134150,245247,867729,837452,256233,355905,365059,-1,228829,-1,-1,108070,412807,12312,739862,292864,-1,625327,-1,-1,14095,-1,718329,-1,547010,-1,633394,867843,367187,-1,936410,-1,-1,-1,259664,-1,-1,79857,-1,496249,911315,18524,-1,-1,-1,375662,-1,-1,94534,526019,382684,305485,1172,-1,538830,169927,605713,-1,3308,516289,-1,-1,-1,-1,596434,-1,-1,350144,638035,296163,350999,-1,927987,-1,700184,365974,-1,277334,-1,719889,-1,-1,-1,-1,242809,682107,650062,-1,-1,935522,-1,-1,-1,209540,600850,565724,-1,-1,-1,-1,321513,-1,-1,-1,-1,-1,-1,838022,61378,14803,371574,-1,499445,-1,-1,-1,-1,-1,581566,-1,521488,-1,-1,390533,-1,-1,-1,673811,-1,724773,871915,385095,869762,42574,-1,168014,49066,-1,328090,971616,823496,121009,755270,871170,871633,-1,122430,568989,752814,-1,-1,-1,-1,732900,957964,-1,848461,690347,-1,293755,-1,121467,-1,51121,178320,-1,94184,-1,294715,802230,566507,-1,-1,617120,33742,-1,101994,-1,-1,-1,154955,246813,792125,-1,408871,389218,-1,-1,805040,-1,606860,576370,246145,-1,-1,567809,30069,285822,201108,-1,886724,654990,-1,427543,-1,819891,-1,69441,724901,-1,849431,-1,418586,155443,-1,184189,682209,-1,147697,-1,851151,711801,568801,-1,-1,-1,834844,-1,851232,-1,523557,-1,-1,-1,282762,233310,681987,-1,-1,-1,-1,-1,651730,305054,-1,778064,526083,-1,-1,-1,334196,88619,149100,248768,325251,723710,806506,-1,842201,-1,753372,-1,-1,455392,233323,735575,873862,609871,116874,-1,706783,99396,-1,-1,434740,-1,-1,455894,171995,332571,-1,452924,688159,339305,-1,-1,-1,974073,89555,372809,367804,-1,595237,-1,598850,744387,54414,653172,-1,-1,180460,804006,-1,-1,-1,-1,-1,-1,-1,524445,326638,-1,-1,324767,-1,-1,73893,-1,-1,-1,946299,-1,-1,880807,258805,-1,154680,-1,963118,568542,-1,448981,884304,894675,-1,675113,925502,367596,-1,-1,513643,-1,676329,-1,-1,538039,635772,235210,963302,355520,280362,200417,465798,656164,-1,793848,646461,-1,-1,-1,805572,516490,-1,733315,889751,-1,835283,-1,-1,-1,134781,324362,514012,-1,-1,-1,504990,518178,839721,-1,-1,-1,654642,-1,866018,-1,734414,-1,-1,-1,931971,338538,-1,-1,-1,-1,-1,-1,186586,-1,-1,-1,379664,537281,657444,-1,433499,-1,33912,803633,-1,215760,-1,971066,-1,327673,802375,490862,573439,-1,541094,188662,205142,-1,201869,-1,791660,-1,825574,546626,675158,-1,753303,800353,735333,-1,-1,557700,-1,-1,-1,47830,701083,240958,-1,-1,-1,809559,-1,-1,-1,299418,49211,-1,870150,-1,572512,-1,553973,579673,-1,-1,-1,-1,419731,-1,-1,-1,-1,711088,409844,-1,743555,-1,-1,-1,-1,947998,-1,-1,-1,-1,-1,5043,-1,100200,-1,-1,933665,946071,-1,967949,774174,138783,973129,886742,-1,121196,577819,944706,442969,-1,-1,906717,-1,-1,270700,813246,761648,-1,-1,-1,311312,803163,-1,847675,-1,-1,937003,338183,-1,-1,-1,-1,-1,-1,204632,-1,36004,-1,226560,-1,-1,-1,-1,-1,-1,890143,2001,131902,-1,-1,643298,857719,-1,976372,729676,-1,-1,403426,-1,-1,502308,-1,-1,-1,-1,188282,-1,213656,-1,-1,-1,-1,-1,-1,-1,566713,687680,-1,973084,453473,-1,-1,-1,-1,-1,790754,-1,61033,-1,-1,-1,-1,841482,335060,849656,-1,728136,-1,-1,925124,885337,662986,476621,-1,880949,800343,-1,-1,94613,148011,528038,-1,488408,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,239458,983821,-1,-1,270120,-1,932935,563835,506780,422700,94271,852664,-1,-1,117025,-1,713572,287888,-1,-1,-1,636465,-1,-1,862340,-1,243709,746365,96481,788592,518435,276982,-1,-1,-1,100971,217519,188693,-1,9430,-1,396385,-1,126337,-1,634518,-1,652311,350582,-1,-1,-1,62694,-1,-1,451061,-1,-1,-1,-1,619491,-1,-1,31841,-1,-1,-1,397491,932621,123561,-1,-1,-1,-1,-1,-1,43706,-1,-1,819437,347630,-1,-1,283906,261492,344063,190015,-1,-1,-1,-1,249535,-1,-1,-1,-1,136562,-1,548469,648924,221442,488526,-1,894522,916675,806347,82518,-1,820543,-1,-1,-1,-1,408650,584438,924408,84211,269867,-1,110223,-1,731650,-1,714637,517147,-1,-1,144321,-1,-1,-1,-1,-1,622809,-1,442453,-1,69173,-1,952093,-1,-1,-1,-1,-1,-1,-1,845366,590977,351420,-1,-1,774822,-1,972358,780973,-1,-1,516309,208195,543985,-1,-1,-1,236247,-1,837695,247368,596318,534366,255446,216249,357260,-1,-1,-1,776821,824203,-1,-1,-1,971755,413623,599761,669260,-1,946523,192116,-1,-1,-1,-1,794351,-1,-1,150851,34914,-1,-1,-1,23033,-1,534277,-1,-1,-1,260698,543846,-1,-1,576474,-1,764703,-1,-1,897746,4060,-1,-1,575199,-1,-1,-1,728973,-1,-1,-1,-1,-1,-1,-1,-1,-1,193971,-1,-1,-1,-1,-1,655313,364753,-1,-1,-1,-1,394753,-1,80778,-1,186357,771400,-1,-1,884887,963496,-1,432402,-1,177263,-1,325159,-1,-1,-1,572519,-1,-1,545193,-1,974191,-1,-1,190768,745429,-1,-1,98438,-1,-1,-1,-1,200047,336249,-1,963108,649299,-1,64363,-1,602903,-1,-1,656132,252663,638562,-1,579851,219637,-1,-1,-1,258141,-1,637959,-1,-1,847743,364202,-1,549999,-1,485026,584537,71395,-1,-1,499350,171582,-1,6340,-1,-1,-1,459700,275162,633732,782497,-1,450897,274045,-1,446311,-1,963201,985285,651538,-1,846188,716725,-1,977294,-1,353088,326654,389362,-1,-1,-1,-1,-1,922833,-1,-1,-1,-1,749070,-1,443768,570440,600619,-1,-1,-1,881342,-1,-1,34190,-1,865414,177642,778807,114945,377791,771620,33255,585695,845494,-1,343229,437455,-1,851026,-1,-1,-1,511758,39601,882137,-1,-1,921598,-1,-1,332895,842825,630520,-1,679690,-1,-1,857929,-1,696483,-1,293182,-1,25904,583196,12877,515975,9506,-1,359498,121512,-1,308733,425613,-1,251547,-1,715969,-1,-1,530181,-1,-1,247583,-1,347375,340857,-1,331250,538719,30864,677384,904301,472495,697272,540235,-1,425088,428216,767662,286182,787468,812113,381903,191687,70402,977366,925264,-1,-1,214970,-1,482924,-1,-1,-1,-1,-1,-1,541819,961352,-1,-1,651592,220728,-1,-1,762281,-1,673871,621261,-1,-1,-1,513516,-1,-1,818423,-1,321212,-1,157641,-1,623871,-1,904521,920845,-1,216686,-1,-1,-1,-1,-1,617038,56636,-1,755122,-1,901094,186666,54478,-1,-1,164616,-1,746350,395090,-1,-1,590786,434998,-1,-1,867892,627852,948541,-1,-1,-1,108661,-1,159398,-1,-1,696061,-1,870199,380574,293417,-1,-1,-1,-1,-1,-1,260117,-1,880257,-1,-1,10587,-1,-1,896990,-1,598458,-1,922750,531728,367048,532117,958340,921948,-1,-1,340109,-1,451439,95837,906918,772697,952305,-1,465313,-1,417541,234338,601494,-1,-1,-1,254139,-1,-1,-1,878885,-1,-1,-1,-1,-1,950015,506180,569486,659176,-1,-1,757821,706036,-1,159279,-1,821782,-1,-1,993952,808694,-1,-1,125024,-1,630436,316257,225201,-1,-1,-1,-1,627280,223544,523283,106480,576733,791301,-1,655721,-1,833179,-1,847623,509069,-1,-1,-1,948648,847859,126624,18082,756521,76483,624091,333668,688175,114880,-1,-1,942416,-1,442947,906896,11154,-1,-1,928603,189682,-1,-1,-1,-1,-1,632235,-1,-1,148678,-1,299455,557189,-1,-1,-1,-1,-1,-1,-1,945012,198120,656687,-1,-1,-1,-1,-1,-1,-1,-1,379364,-1,-1,-1,-1,66505,736827,-1,918730,74640,-1,-1,707479,-1,-1,-1,501971,-1,235363,39834,-1,-1,-1,213584,4171,-1,705020,-1,-1,941895,-1,-1,-1,708582,892294,-1,974424,223996,897384,-1,964136,223026,154867,-1,411358,-1,257685,712705,485233,873913,-1,990907,-1,618152,856423,877088,-1,-1,-1,-1,532525,-1,-1,-1,-1,-1,389551,365719,769573,67017,-1,-1,882820,-1,-1,153510,595050,681220,623919,342453,352451,-1,721197,751695,-1,58591,485146,812121,-1,-1,995052,-1,-1,-1,-1,-1,-1,-1,673151,-1,-1,374244,41701,-1,-1,511583,-1,-1,-1,172795,300702,917136,924353,-1,661636,-1,-1,554522,-1,488098,210434,-1,-1,-1,982027,400531,-1,-1,989229,-1,-1,-1,156413,786935,-1,-1,180234,-1,-1,5538,-1,-1,-1,-1,604938,-1,212948,-1,-1,-1,257284,874678,654220,-1,-1,692994,41307,-1,-1,-1,-1,-1,346595,-1,-1,-1,-1,-1,539422,-1,279212,577503,823242,803375,-1,-1,-1,278891,672126,-1,-1,324181,-1,871050,847284,597803,-1,861650,-1,-1,-1,-1,-1,-1,564934,799634,266264,-1,-1,503973,-1,-1,365655,909198,-1,569395,-1,837676,314357,379119,-1,-1,-1,57440,-1,206562,983270,465690,-1,-1,-1,172717,-1,-1,630789,-1,159258,916816,-1,-1,-1,-1,285670,-1,620991,-1,220747,326436,-1,200386,228366,-1,-1,-1,-1,885968,-1,-1,-1,-1,389502,-1,-1,57575,363836,1674,-1,919451,841668,-1,605831,-1,-1,295718,962408,-1,-1,-1,892625,-1,-1,950497,744705,678842,-1,728818,128765,544409,408902,-1,36206,793548,-1,-1,886872,73193,846950,-1,-1,-1,-1,-1,-1,519869,259003,-1,-1,14077,449964,-1,-1,570657,915283,-1,894406,-1,-1,-1,340754,343326,-1,120193,264307,-1,729618,509735,-1,-1,206547,408746,176747,-1,870294,-1,599493,894923,-1,279663,714539,-1,453234,186601,-1,721930,938199,-1,-1,-1,786001,-1,929798,-1,376030,659079,-1,867367,-1,629752,-1,-1,855373,97253,-1,16307,150479,14355,376079,-1,-1,-1,517376,945426,-1,-1,818134,-1,-1,907189,-1,525410,319627,-1,395960,-1,793029,190172,774826,-1,34529,-1,-1,844524,792188,796610,717695,-1,817669,-1,840622,-1,334713,-1,414058,-1,-1,-1,751304,-1,-1,465394,-1,570757,989008,-1,-1,-1,273902,93562,-1,658948,926351,320962,141362,16220,125283,-1,759109,-1,-1,-1,502566,523432,756136,266503,-1,-1,289830,691383,-1,896373,-1,848311,-1,-1,-1,646264,-1,-1,-1,-1,-1,450741,442776,-1,-1,409774,-1,-1,110083,891669,-1,-1,441335,203553,441347,157550,-1,-1,61716,-1,-1,-1,-1,306021,852770,687142,770174,-1,-1,-1,-1,114187,586535,950318,-1,-1,280793,170412,417493,-1,-1,961348,-1,352063,571844,-1,-1,860558,-1,902722,-1,901633,727083,-1,380609,-1,822399,956431,898069,538643,298476,-1,-1,319490,-1,83329,726343,79130,-1,-1,856255,950878,665312,-1,-1,-1,-1,830521,-1,140071,-1,-1,-1,214904,134185,-1,-1,301750,694634,-1,890295,689052,679665,-1,-1,657968,114679,-1,438377,-1,-1,-1,-1,378844,-1,-1,561969,648165,-1,522692,931396,-1,998077,-1,699707,190173,-1,372834,-1,-1,-1,279749,-1,-1,84659,-1,462976,850390,-1,480421,-1,-1,-1,-1,-1,197378,-1,-1,302838,766072,483871,-1,385265,-1,-1,24948,65861,495934,110761,651250,-1,788878,-1,291337,870177,-1,464284,-1,-1,-1,343045,224522,-1,-1,34089,-1,83678,897023,-1,71030,917218,-1,-1,-1,915979,325282,453268,149719,-1,83260,862450,637719,-1,689029,-1,19339,-1,253038,331110,818536,-1,914676,-1,488186,-1,367265,11765,593007,-1,999939,-1,-1,878207,842873,383499,699961,-1,-1,361172,-1,726411,757663,167953,301490,-1,875101,925061,918382,-1,731143,351088,30215,398342,334598,-1,620466,191102,268576,555766,-1,-1,407936,-1,275735,213869,-1,-1,888722,450621,335289,-1,-1,356096,-1,-1,693337,-1,-1,324428,-1,-1,220468,-1,-1,398088,569576,526600,-1,-1,992258,-1,307861,-1,-1,549415,621350,-1,-1,-1,231060,124040,-1,-1,635402,-1,422652,-1,-1,-1,712847,-1,329504,995900,-1,-1,476033,-1,-1,508438,-1,-1,-1,-1,-1,691380,-1,837028,954063,-1,-1,-1,-1,-1,-1,520609,397901,927348,-1,445163,203569,-1,491654,-1,-1,-1,207090,-1,-1,-1,824771,59078,264037,122892,32184,-1,-1,-1,-1,797115,384466,928993,-1,-1,911778,41752,913489,854985,802049,172494,-1,587361,965929,910765,332805,617178,-1,-1,828689,-1,-1,516562,-1,788991,-1,-1,-1,739394,-1,-1,553593,997135,51754,-1,-1,-1,-1,73041,-1,351453,433965,-1,-1,-1,444840,-1,189652,534559,907361,582313,292016,-1,706962,250300,-1,553917,509228,363444,508067,102875,-1,308660,414493,780111,399358,924697,-1,-1,-1,-1,-1,709326,-1,-1,986544,18012,-1,-1,451938,-1,835791,613128,-1,-1,-1,-1,-1,-1,-1,501722,-1,790876,961747,245018,-1,670915,854550,707942,156996,-1,285406,-1,615089,923849,544051,-1,-1,-1,866502,-1,68100,93227,-1,-1,83396,-1,954370,851739,-1,471762,260448,-1,-1,32870,545999,-1,-1,78163,838666,-1,676653,-1,-1,936891,894925,165252,-1,-1,-1,562540,-1,880477,851341,777386,104031,-1,396579,-1,434620,-1,-1,573155,325653,-1,424926,-1,-1,-1,320829,964771,-1,61850,-1,924829,-1,170178,-1,-1,-1,441568,-1,-1,-1,429213,-1,-1,259891,966455,-1,-1,-1,-1,818143,247231,398609,-1,645182,-1,352372,-1,50916,-1,-1,-1,521874,617466,624984,-1,-1,43330,28157,42264,355566,-1,-1,364945,-1,-1,-1,121966,-1,578030,908485,131528,339075,-1,939047,-1,-1,-1,-1,191514,870260,471745,237306,-1,-1,499354,-1,-1,-1,-1,103575,-1,-1,-1,-1,684623,-1,183406,817811,-1,-1,-1,402477,633649,553592,-1,-1,-1,217719,-1,-1,312734,460500,651150,471202,-1,-1,-1,-1,-1,256647,-1,228874,-1,859178,11440,14960,806658,-1,536046,510530,84161,410910,-1,-1,98976,-1,908086,649705,-1,212235,-1,-1,-1,-1,-1,714434,-1,-1,208266,-1,-1,-1,-1,-1,531073,-1,712519,-1,-1,354493,680225,-1,10662,-1,868652,171233,138972,191547,-1,-1,169665,-1,927438,313406,113509,72487,81925,-1,346507,312854,461831,336512,-1,82043,-1,-1,-1,934747,-1,-1,-1,924345,953976,-1,420372,-1,-1,-1,65754,-1,-1,-1,-1,112418,500108,663520,647424,-1,622919,-1,-1,64780,239595,273523,867699,594058,-1,-1,-1,922886,-1,-1,697417,-1,422003,159250,-1,-1,226402,583352,316546,-1,-1,-1,-1,291872,273022,-1,-1,-1,-1,-1,549336,-1,951842,377881,-1,-1,972056,44659,-1,-1,-1,216480,313788,145554,-1,-1,-1,-1,-1,518084,34454,67862,-1,-1,-1,555870,240437,959804,-1,367547,-1,-1,-1,432494,-1,-1,-1,470338,204095,-1,758633,163548,159183,759181,-1,-1,-1,-1,-1,256283,205574,-1,-1,-1,-1,230719,190901,421535,-1,-1,-1,396261,-1,565101,14521,-1,138537,642833,473712,-1,-1,-1,195584,-1,967973,555359,40721,2227,-1,-1,-1,-1,-1,-1,436607,596391,-1,-1,-1,476280,639875,625209,763978,75817,-1,857268,-1,-1,-1,-1,-1,418647,777582,261912,-1,-1,172992,-1,-1,-1,-1,915908,-1,550182,-1,507757,269161,-1,229211,643107,605801,557424,246546,82030,385369,-1,-1,-1,459302,-1,414929,-1,-1,814410,154887,833790,-1,304002,-1,-1,-1,-1,-1,53082,-1,307214,922495,66366,150208,-1,180616,-1,145911,986416,526038,-1,-1,-1,669364,467103,78711,768604,480148,572163,-1,-1,103998,73140,365918,999260,917274,-1,219160,-1,212924,-1,354923,237390,-1,183817,528662,401221,239323,-1,-1,334480,-1,-1,-1,-1,-1,-1,-1,-1,375415,103433,324508,32231,-1,698270,-1,849804,-1,-1,-1,810322,402562,-1,-1,871972,-1,-1,-1,711331,-1,-1,-1,-1,-1,-1,-1,835976,624494,120398,89276,514590,-1,-1,-1,214610,360125,-1,-1,-1,877385,-1,-1,656587,-1,737146,809529,-1,-1,720291,647942,822317,-1,-1,995818,-1,-1,615453,63122,-1,-1,82678,855280,-1,677659,269947,-1,-1,393297,-1,155809,825004,-1,-1,215942,169228,323653,660792,418101,437656,-1,-1,344640,455539,-1,891486,-1,353066,-1,764318,728912,-1,-1,129162,870305,-1,-1,-1,-1,-1,-1,368715,-1,103084,800282,382065,-1,933712,-1,-1,-1,80467,-1,-1,-1,-1,-1,-1,-1,-1,-1,266325,-1,458900,-1,-1,-1,716630,908382,220337,-1,-1,-1,902105,781561,793847,610099,310688,814295,-1,-1,-1,234122,-1,732623,-1,-1,-1,-1,-1,899359,489031,694408,-1,-1,135494,-1,-1,269234,-1,-1,9172,673433,-1,-1,-1,-1,567403,280661,-1,-1,302494,733671,42017,969809,57364,651232,394187,383398,-1,-1,-1,-1,-1,-1,-1,-1,282689,297085,-1,459735,-1,130507,-1,-1,746632,-1,602646,-1,968457,597004,176131,-1,-1,507082,646177,-1,974678,-1,-1,960157,542335,195741,174299,-1,-1,135610,752656,-1,638808,-1,-1,794199,-1,-1,498278,234910,387144,-1,446787,363590,167324,44581,84823,394705,-1,819075,-1,404607,548386,959274,789772,-1,671201,-1,-1,433090,-1,-1,819077,-1,948572,286985,93972,-1,434512,951170,589096,789318,-1,-1,-1,127819,306178,-1,894408,949370,40540,-1,-1,463115,211414,-1,519286,-1,457090,599609,-1,-1,669615,-1,582768,-1,433881,200369,911453,668062,122404,-1,-1,325729,532174,306460,341905,718628,-1,203317,200256,-1,49070,249063,97822,-1,613730,-1,787884,-1,-1,-1,-1,-1,677479,-1,467146,624511,-1,-1,177112,-1,800256,758062,-1,867263,-1,154055,424492,-1,319180,720651,-1,-1,632208,448359,46744,-1,85601,-1,-1,741082,641466,335458,268527,-1,292603,-1,-1,-1,535967,-1,-1,726446,-1,-1,-1,-1,-1,36219,608428,-1,-1,702974,-1,826035,824593,538438,-1,-1,266416,579936,-1,810072,-1,-1,829995,136390,299779,-1,-1,514358,381591,803921,-1,560670,-1,195871,-1,152009,-1,-1,-1,108602,25518,105272,465024,210401,-1,677350,-1,497368,411309,321642,-1,-1,-1,-1,-1,-1,-1,23629,-1,-1,-1,488169,962034,32332,-1,-1,-1,-1,-1,569898,430145,916767,455148,-1,-1,-1,82107,891325,92917,860242,421257,649700,313238,183069,245053,-1,-1,-1,-1,272599,-1,499573,-1,-1,-1,619346,38730,-1,-1,-1,72939,457010,164166,614020,470086,426211,-1,-1,566085,642607,-1,338281,-1,869390,7096,-1,-1,136116,-1,301049,626277,-1,944535,415250,-1,-1,-1,-1,-1,958827,913330,-1,479302,704751,641715,-1,-1,884964,-1,-1,784972,746529,708444,131321,355553,-1,730112,-1,918172,-1,618020,914936,-1,-1,-1,-1,747340,771807,646955,608637,-1,-1,-1,965855,805938,-1,947203,573422,-1,196683,651158,-1,-1,-1,605245,500203,-1,577939,896845,-1,845775,-1,-1,395767,-1,-1,-1,516012,-1,-1,-1,261035,691114,409748,-1,978118,311459,709390,-1,104831,826440,-1,-1,611678,163060,803669,992279,-1,180753,-1,13250,783683,696307,986923,-1,641138,-1,863516,454998,-1,-1,-1,866977,-1,-1,686275,285894,-1,708611,-1,149097,826638,-1,454469,186420,675347,680367,374290,409584,846149,-1,739761,-1,-1,-1,473770,-1,198089,803916,-1,964174,480302,-1,172513,-1,-1,970404,-1,126960,-1,-1,114993,857320,-1,608605,-1,-1,-1,-1,-1,-1,878010,554092,-1,852263,-1,-1,249788,-1,-1,220724,-1,-1,-1,444968,-1,-1,-1,621924,598025,-1,-1,-1,441476,-1,84013,662878,-1,-1,162240,-1,-1,826171,-1,-1,904873,350405,976962,845958,239218,57594,633923,-1,-1,-1,467748,-1,-1,-1,883203,630315,114565,247468,-1,415538,802160,-1,71054,-1,-1,-1,-1,690967,318866,61199,244453,-1,238813,92563,740708,377170,-1,279304,-1,886679,-1,-1,438777,-1,-1,261803,-1,94017,-1,442115,365283,607228,-1,-1,487488,-1,-1,-1,993517,-1,463438,-1,-1,821074,-1,-1,467724,502737,318371,314436,-1,-1,-1,534524,175664,-1,412341,-1,-1,-1,249663,2641,-1,-1,-1,519016,-1,-1,-1,-1,-1,-1,177729,208095,509656,-1,-1,-1,-1,208223,450347,-1,393730,-1,-1,862906,-1,611042,-1,-1,657122,47713,719290,709890,-1,-1,-1,975901,769942,507887,-1,821739,789596,911998,-1,-1,880117,-1,-1,-1,-1,-1,738575,561174,-1,302992,267140,852748,-1,-1,-1,936134,-1,253810,755991,508740,-1,192739,602244,437395,-1,981939,243689,-1,-1,-1,196935,375059,-1,412117,305450,571982,839969,-1,54407,-1,-1,-1,128658,418088,378210,993644,924038,-1,-1,729998,-1,389857,964794,676178,167535,982623,648963,-1,-1,140091,450300,500628,497339,520068,-1,-1,-1,-1,-1,290120,315530,204175,452074,558164,49039,690682,-1,447565,-1,275669,369594,-1,516626,857617,441415,366587,-1,-1,-1,-1,478318,-1,793289,-1,-1,710341,53371,73766,283180,-1,-1,369893,462929,11575,330360,6620,794590,726237,-1,-1,-1,-1,211430,-1,740787,821489,316675,89822,964648,412098,71916,188841,152967,526802,-1,897558,425826,629295,722365,953635,285709,937977,-1,865820,-1,135918,953051,211595,-1,-1,566810,123027,-1,-1,808268,729511,140502,679141,-1,-1,-1,-1,939774,197976,767201,-1,-1,-1,-1,-1,-1,-1,135060,-1,-1,-1,-1,69478,-1,-1,-1,501091,69744,855982,-1,-1,-1,329202,-1,-1,5559,-1,-1,-1,379323,-1,-1,-1,535661,-1,-1,532890,-1,232839,243165,-1,68409,-1,-1,207535,90324,-1,593877,-1,-1,-1,777869,-1,-1,-1,-1,-1,-1,301448,-1,-1,863711,-1,980760,526645,-1,-1,319386,-1,284442,856936,42330,-1,145828,695463,-1,-1,834087,236558,99367,-1,-1,-1,-1,-1,129826,476550,42568,-1,994602,-1,252224,-1,618349,-1,89053,525321,-1,32491,782648,-1,165401,-1,-1,441534,-1,740786,-1,-1,-1,-1,492683,-1,878149,-1,-1,550412,-1,198336,34255,485331,579767,-1,967978,209699,-1,-1,-1,-1,875276,546939,-1,578663,-1,353449,221202,-1,616111,702644,168425,-1,17064,391236,947124,443608,-1,-1,-1,319917,-1,-1,121171,609926,-1,266433,-1,-1,-1,-1,773151,488035,-1,739632,-1,165865,-1,595665,860918,-1,-1,-1,955678,-1,620561,876869,-1,-1,807744,927803,656580,178481,-1,94671,867105,-1,824783,-1,76551,-1,540000,-1,530807,550103,-1,-1,-1,-1,484918,780310,-1,-1,-1,360391,-1,-1,-1,-1,300072,-1,-1,-1,372928,812852,217822,-1,-1,-1,-1,895586,-1,-1,-1,508898,437520,152856,-1,932122,679484,252782,-1,-1,-1,308132,-1,20311,7327,806890,-1,893200,846250,199580,369186,-1,534724,44345,660178,-1,-1,-1,802998,-1,56465,920195,-1,-1,-1,-1,144584,-1,-1,-1,-1,786261,431328,-1,443677,-1,-1,-1,-1,735726,500478,-1,510495,-1,431118,591779,-1,-1,-1,438743,968987,981523,-1,-1,-1,-1,590465,270159,574024,923651,-1,81464,-1,-1,900977,407087,-1,315147,-1,-1,-1,925017,451264,-1,-1,696303,-1,-1,-1,-1,-1,-1,-1,519414,523990,-1,18910,5918,-1,-1,-1,27863,689289,128932,210944,-1,-1,400709,764263,32302,421992,873598,-1,-1,-1,-1,-1,-1,64033,526795,-1,-1,63200,23802,726597,365807,-1,-1,931307,904895,-1,513518,682111,-1,-1,452335,890672,553798,860632,-1,-1,-1,759558,374791,-1,362088,591837,89129,-1,711916,-1,-1,-1,-1,966995,-1,-1,826885,898891,-1,-1,-1,517679,-1,965745,675861,-1,915434,-1,962254,-1,-1,750358,-1,-1,-1,649775,-1,642909,-1,238330,-1,-1,865617,-1,623371,459771,-1,-1,-1,43928,562678,-1,411375,-1,980618,169624,558307,162011,-1,226114,-1,-1,-1,-1,567459,-1,561581,-1,197157,642825,953861,36870,526855,245555,737425,235190,884934,144328,-1,948479,717879,802806,64470,-1,757476,-1,591922,-1,-1,-1,358243,526442,665605,188922,-1,-1,562499,993138,129209,578119,51924,922807,-1,834564,757269,-1,-1,-1,-1,716634,-1,-1,-1,652258,-1,890869,34397,461328,-1,551452,-1,-1,-1,-1,459972,-1,-1,-1,-1,52301,420445,-1,-1,279171,309639,881642,67733,-1,735619,-1,555260,848740,-1,-1,-1,289973,268558,348388,-1,336997,675473,439855,-1,517118,-1,-1,-1,996474,558140,-1,886313,827033,474493,975541,51699,-1,-1,62149,889028,-1,32178,390303,923005,-1,493930,835315,-1,-1,-1,325491,-1,-1,-1,963096,-1,-1,234184,266761,-1,-1,643148,-1,-1,-1,460485,16366,-1,336431,-1,-1,-1,653050,-1,-1,278263,-1,-1,-1,-1,-1,794544,-1,-1,845000,102548,-1,897307,353817,-1,-1,-1,-1,936594,-1,-1,-1,-1,236808,-1,819696,570519,-1,-1,658182,-1,676435,-1,-1,-1,-1,172689,-1,-1,-1,727263,455390,-1,-1,560964,216967,-1,557357,-1,597081,507379,-1,-1,62056,-1,-1,-1,-1,-1,-1,979390,817179,175780,-1,-1,-1,48379,-1,-1,821987,-1,160458,-1,653765,-1,819449,923520,640944,-1,-1,-1,-1,-1,-1,146748,-1,205596,292514,-1,894867,608580,-1,281363,155830,785776,-1,-1,-1,-1,-1,533457,-1,556564,-1,-1,-1,-1,-1,-1,618571,199340,-1,-1,-1,616276,-1,338935,486198,-1,-1,-1,-1,-1,-1,246100,981385,-1,600463,647487,-1,864358,256892,355418,-1,-1,869466,422610,-1,407872,-1,190659,278396,-1,-1,-1,309130,964540,-1,-1,341856,649288,-1,-1,160884,328011,327423,-1,-1,-1,-1,493050,150943,-1,737639,845993,-1,990883,-1,-1,-1,-1,355265,348267,-1,-1,606684,778078,976211,912838,714552,-1,-1,-1,-1,-1,-1,-1,417128,740657,-1,346210,-1,-1,-1,916820,558877,585430,-1,307814,755590,-1,-1,-1,970906,300362,107214,630480,-1,861033,1368,-1,858793,121793,-1,-1,-1,-1,321840,483730,-1,666832,-1,-1,801382,24237,344918,-1,-1,-1,878381,-1,313043,-1,470697,-1,-1,601920,677457,-1,-1,-1,780657,-1,777075,99490,153825,790535,462596,-1,-1,427656,-1,951101,598767,318123,-1,-1,-1,-1,895513,-1,788055,771583,-1,-1,-1,-1,-1,441760,863593,69299,-1,-1,-1,452811,888506,-1,15843,441571,650857,-1,-1,-1,874501,985050,856446,-1,960129,-1,725854,612170,-1,-1,-1,-1,-1,697783,-1,135538,318818,-1,-1,67572,307746,49331,664143,893446,815820,839303,339055,-1,-1,159879,-1,-1,-1,179567,-1,-1,-1,88552,-1,411655,847149,957996,55668,-1,162572,-1,-1,469350,663633,-1,-1,905550,-1,-1,-1,656775,486626,-1,-1,58677,924980,-1,323629,240315,-1,496728,-1,-1,-1,-1,-1,40398,-1,580480,428301,602821,101184,-1,-1,57011,292591,-1,-1,-1,138908,195064,-1,125291,629126,590177,323749,-1,665853,999853,565590,675466,230555,-1,-1,518805,-1,-1,-1,170205,837310,-1,-1,-1,655611,-1,790424,-1,-1,848448,508346,-1,-1,512094,-1,-1,-1,471673,572172,117445,-1,644303,599213,-1,818241,-1,780120,653695,905633,784045,-1,-1,921350,454241,542735,-1,-1,109871,201573,-1,139293,375387,507219,702739,583750,-1,-1,-1,-1,990957,137567,896020,671939,-1,626839,398231,663809,-1,-1,576876,948278,-1,760316,-1,-1,912336,278925,748287,-1,18113,51852,-1,-1,-1,-1,-1,-1,-1,-1,768011,-1,206977,540973,-1,871483,-1,661869,60060,822772,-1,665348,69846,-1,788080,-1,409291,720445,750137,-1,810117,350808,-1,420941,-1,672301,-1,-1,-1,-1,-1,-1,268850,102556,676420,311531,251409,-1,368465,786648,-1,-1,-1,990931,-1,668396,-1,266955,-1,-1,871061,495442,323830,206209,568433,-1,-1,452738,751791,886323,-1,-1,140690,447047,-1,904710,872825,-1,-1,-1,-1,445407,836036,-1,-1,291597,-1,-1,757297,403206,148455,-1,-1,-1,-1,900890,751704,121719,-1,782050,-1,-1,294708,199578,40003,-1,-1,995129,-1,-1,-1,641879,992545,-1,308893,764247,-1,547817,712531,37651,-1,457780,-1,-1,755418,-1,992439,301116,-1,554324,244731,-1,894020,-1,-1,104131,-1,321731,224518,661897,988485,860609,277290,-1,66684,-1,465431,-1,-1,-1,614277,-1,-1,156310,-1,-1,-1,-1,-1,-1,945244,482536,282749,-1,-1,792512,-1,222498,-1,800075,799405,-1,-1,-1,-1,-1,871419,727833,-1,-1,21998,-1,-1,43246,-1,-1,172403,20755,108397,927363,373981,-1,-1,-1,-1,-1,890600,-1,312477,-1,647932,953204,-1,-1,443274,-1,-1,88192,940952,610855,-1,-1,193720,706624,936162,238659,-1,-1,-1,-1,286960,-1,-1,749223,229368,-1,-1,318071,969874,183884,-1,644440,84313,-1,776191,-1,64618,501421,380296,-1,-1,808885,443050,475324,-1,136735,-1,359476,-1,988872,-1,-1,-1,-1,398006,-1,-1,-1,565784,-1,-1,21058,641794,808163,618342,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,256614,145697,393618,-1,742389,-1,288363,541660,-1,-1,-1,-1,-1,-1,-1,507616,-1,-1,236532,263300,-1,-1,265603,297391,404413,-1,726262,-1,-1,-1,-1,167149,-1,8536,-1,-1,-1,918260,-1,232432,892379,-1,-1,553578,-1,-1,779806,54038,-1,-1,900062,-1,-1,-1,-1,755426,559876,251300,-1,946751,-1,-1,-1,-1,-1,719833,-1,681700,-1,-1,35369,-1,-1,203802,274320,-1,-1,21487,835800,297259,451030,168547,592227,-1,702241,-1,-1,-1,-1,721277,-1,845478,942474,-1,884583,114233,-1,-1,912068,574917,393153,-1,567549,489376,210444,834052,-1,332699,676654,982762,668280,-1,-1,-1,200105,723856,-1,-1,317788,-1,692807,335527,-1,-1,407816,-1,169196,-1,590225,-1,-1,-1,25180,-1,146581,874725,-1,-1,-1,63835,380006,641936,-1,-1,-1,-1,354979,605923,579046,172458,787074,407594,-1,-1,-1,297746,611589,953656,107701,-1,55445,-1,188368,-1,389227,-1,-1,-1,-1,-1,462643,41176,-1,-1,-1,-1,-1,-1,-1,-1,-1,62361,-1,-1,-1,-1,-1,193222,-1,342898,-1,729160,659102,-1,756101,194456,-1,180229,-1,504985,-1,-1,630787,528419,-1,926971,-1,-1,853173,-1,-1,-1,339484,-1,-1,-1,69250,-1,-1,343489,-1,-1,-1,240291,-1,-1,822280,338698,-1,-1,-1,722971,-1,244811,756077,-1,813059,161892,-1,-1,39952,199712,-1,161526,699275,-1,620112,-1,698326,-1,329335,-1,-1,872241,-1,-1,358937,-1,534202,-1,919191,398405,229547,-1,276594,519130,327704,-1,-1,876116,257623,636638,45828,-1,415031,967623,-1,267804,-1,387570,-1,2413,-1,-1,-1,-1,-1,609420,237185,-1,374863,139369,-1,-1,-1,728023,-1,515349,903119,54476,326259,915018,297162,531767,372468,-1,-1,-1,986926,325405,831549,306003,612449,552375,-1,-1,50293,130181,-1,-1,-1,-1,413605,-1,582761,-1,453040,923384,422107,-1,-1,-1,-1,-1,-1,527043,-1,734868,872918,937637,-1,-1,-1,144756,-1,-1,-1,-1,-1,170581,798861,552674,-1,-1,191425,241389,250513,859456,360667,643341,-1,45072,573987,561531,-1,483703,-1,947547,188590,854338,-1,482026,605471,744859,-1,-1,-1,414257,969619,824885,588007,-1,-1,-1,-1,-1,847147,-1,-1,488229,374663,-1,117508,698247,-1,75803,-1,-1,982921,266178,500299,271260,151292,749938,822338,-1,538435,-1,-1,536986,-1,-1,-1,-1,-1,-1,504102,-1,-1,577821,920346,622793,-1,168429,318872,903858,-1,742010,-1,-1,-1,-1,-1,-1,-1,573192,-1,820278,-1,-1,-1,-1,50196,856310,-1,155306,-1,7086,976342,-1,689426,933917,916492,-1,34821,529270,583807,-1,-1,437874,-1,-1,-1,-1,310649,82212,690855,-1,508116,-1,-1,679861,266618,843593,623332,578521,-1,-1,429916,-1,-1,-1,-1,656326,-1,-1,410113,15178,-1,-1,-1,-1,948480,813018,-1,-1,-1,-1,-1,-1,-1,955094,459925,977915,632194,879491,929918,23730,521135,525878,-1,561727,360861,-1,39889,553960,927435,-1,12640,-1,-1,516593,-1,12300,-1,-1,341895,-1,844387,-1,477260,-1,-1,781012,115638,882498,703698,741764,-1,427851,-1,-1,-1,940071,-1,-1,744403,-1,249709,605661,205155,-1,787030,-1,-1,700071,-1,10810,-1,643948,230859,-1,219033,968319,66634,-1,-1,638582,-1,60090,-1,-1,-1,8826,252364,696620,-1,411980,-1,994443,-1,650190,497239,860912,144546,-1,596837,477848,-1,-1,308776,-1,-1,-1,-1,450256,-1,850511,-1,-1,509722,-1,-1,-1,-1,258891,-1,-1,571309,189648,-1,898061,244267,822549,-1,-1,-1,402397,-1,846236,129220,-1,492579,-1,44302,-1,916988,851556,600997,289431,918818,-1,-1,850157,-1,-1,257718,434256,-1,-1,69778,-1,683595,284165,712567,-1,-1,-1,-1,13685,849233,395578,490348,346594,927125,-1,-1,-1,-1,-1,322705,-1,539046,740672,-1,-1,47592,-1,669282,-1,702093,-1,-1,187900,911866,-1,49178,-1,449628,921374,877419,-1,-1,-1,-1,522378,304171,-1,-1,275912,-1,-1,388281,-1,950767,-1,-1,13655,362435,-1,-1,230326,-1,85566,106853,527844,364171,-1,-1,-1,-1,993278,-1,735416,-1,613670,-1,-1,784106,390101,126798,-1,-1,-1,769681,565225,-1,-1,-1,-1,581144,-1,433808,482083,811629,-1,400066,585813,611358,333098,-1,388543,-1,736738,67783,-1,-1,155741,569763,760163,767763,-1,818421,-1,180838,636044,-1,-1,93605,-1,14115,-1,-1,-1,-1,764644,-1,-1,276677,47411,-1,191949,173904,-1,-1,738732,550668,-1,-1,242800,84967,-1,164231,108635,-1,326787,737617,-1,-1,-1,265372,-1,-1,257714,-1,524359,-1,-1,480416,160769,-1,879473,-1,-1,-1,366253,-1,710903,-1,-1,-1,598377,-1,163611,-1,-1,-1,227884,804375,226479,859829,-1,818457,426761,797571,-1,279844,-1,562004,936596,94897,-1,499805,565269,-1,-1,-1,945299,136157,-1,733562,577038,213947,737549,393113,-1,-1,-1,672435,917271,178422,373569,932523,558581,-1,425092,182513,-1,-1,633693,535660,988740,-1,-1,-1,-1,594300,-1,448083,-1,31971,-1,-1,-1,983236,-1,-1,84373,780766,-1,-1,131868,95578,97232,841448,-1,811120,-1,57376,-1,783881,-1,-1,-1,-1,-1,5104,485286,-1,791095,-1,259749,-1,116341,-1,216779,-1,930454,-1,719725,585192,-1,436839,-1,-1,901247,-1,369628,763363,505132,-1,186910,841436,340562,720562,-1,-1,300333,355754,498599,-1,-1,432408,554313,-1,-1,644405,-1,-1,-1,508847,-1,294937,593754,903796,-1,-1,-1,-1,249925,510923,56201,-1,-1,6709,-1,-1,836519,912814,499982,-1,-1,-1,83426,-1,952368,397465,-1,781391,-1,-1,-1,786013,-1,526461,-1,-1,522200,671859,-1,20784,835473,-1,-1,-1,-1,689264,-1,-1,823297,-1,377238,-1,-1,94316,731081,293208,928604,-1,-1,-1,-1,-1,-1,-1,-1,704915,526593,230428,27445,-1,417232,539038,4246,266985,-1,-1,-1,511393,-1,-1,-1,-1,295840,777525,306977,867414,-1,73352,-1,-1,-1,-1,-1,324274,229281,-1,-1,564662,77984,-1,832650,-1,671107,-1,426541,-1,-1,538620,-1,-1,538765,118691,831678,640773,-1,-1,-1,394484,169521,-1,-1,-1,-1,366309,313651,780851,300732,47738,46913,152396,878666,-1,937295,-1,-1,382034,-1,312884,987202,-1,-1,412727,650158,-1,-1,-1,132977,-1,-1,598261,-1,503428,-1,-1,-1,-1,971076,291650,-1,430643,-1,815878,67235,713357,-1,379554,287413,789068,767960,45714,-1,531185,749113,556542,-1,85355,654756,368293,94268,-1,-1,156848,594963,750880,571064,46911,-1,527743,-1,228146,560730,869859,-1,120676,864008,-1,673607,11654,-1,847767,137667,-1,-1,540168,958849,-1,302963,89992,110468,856666,-1,-1,869704,355671,-1,-1,284722,-1,-1,586356,-1,-1,665415,-1,-1,-1,-1,-1,102126,296860,-1,-1,-1,82792,-1,-1,-1,-1,124053,820900,-1,-1,712323,444036,-1,312948,-1,-1,858270,227909,171176,574240,-1,252503,812760,-1,432433,-1,875777,516789,851657,293188,-1,741223,-1,966235,103266,-1,-1,-1,847518,970613,-1,-1,-1,124050,408336,9485,-1,-1,790541,-1,505755,-1,-1,-1,83456,400018,787653,249159,-1,653901,441458,642791,469287,-1,294158,-1,-1,949226,937710,-1,-1,629166,-1,-1,-1,815546,387130,700018,431290,-1,-1,-1,-1,-1,10489,-1,972846,-1,421313,330183,-1,8962,390668,964961,-1,-1,-1,790791,407800,-1,820005,-1,515636,-1,-1,824025,81378,782502,817814,734783,212400,-1,-1,-1,-1,683871,231665,253863,569476,-1,741541,503155,-1,-1,-1,-1,994691,-1,521583,-1,-1,-1,-1,767794,935905,-1,-1,-1,-1,-1,577193,-1,520497,-1,-1,-1,581058,-1,719797,-1,398308,46716,-1,710606,645774,-1,-1,-1,-1,22598,159810,84495,-1,701561,536272,373068,-1,-1,71064,-1,648067,395563,408264,638270,9534,712693,547835,993868,230652,-1,52158,876264,117116,658183,-1,-1,22699,-1,-1,951173,393640,-1,656598,772962,-1,-1,462725,465617,519496,-1,11811,549549,-1,-1,-1,-1,764856,-1,606377,68494,-1,-1,-1,994957,864253,-1,240968,-1,-1,-1,573393,-1,419794,-1,-1,-1,-1,808525,-1,-1,-1,-1,876292,-1,515862,-1,-1,-1,-1,698500,419507,-1,-1,-1,354702,349724,-1,883990,3801,-1,74911,379707,-1,-1,-1,451181,-1,271173,165770,452349,-1,-1,659511,-1,-1,-1,721647,346401,-1,-1,-1,-1,-1,-1,980690,-1,282821,-1,36310,-1,147341,229696,-1,-1,-1,-1,-1,831147,145760,-1,-1,280954,-1,183519,614327,-1,131755,-1,960442,-1,-1,-1,-1,512470,888939,-1,-1,-1,997010,814517,865609,-1,79589,114798,-1,-1,-1,-1,-1,-1,-1,182922,-1,326447,436525,-1,-1,387536,600091,239960,418419,-1,-1,-1,621640,412746,203076,613969,-1,15955,-1,-1,28434,-1,788813,264483,-1,941360,560800,-1,-1,-1,69537,241774,556253,-1,800734,-1,-1,-1,140410,-1,-1,998410,499689,415162,656525,643409,233917,212967,154169,819871,-1,-1,-1,284887,-1,685972,-1,-1,-1,-1,729061,35462,785592,-1,-1,952760,255942,436043,-1,273612,600598,227623,-1,209752,338488,134530,-1,-1,-1,149423,-1,132996,-1,131838,643994,676659,785786,-1,484726,161064,988783,538110,395985,698291,627288,-1,-1,-1,-1,-1,-1,955419,-1,614211,-1,498671,-1,-1,-1,-1,-1,566036,916776,-1,999817,-1,949791,-1,235641,79159,-1,-1,-1,477051,-1,895636,-1,127962,221400,330118,-1,264540,-1,-1,-1,-1,328914,-1,-1,456276,-1,612244,357901,-1,-1,-1,74720,-1,153570,-1,-1,-1,965003,987998,-1,901087,-1,-1,597072,343491,-1,-1,535319,-1,-1,300476,693768,226587,-1,-1,-1,-1,117482,517179,-1,265801,-1,872339,24697,-1,-1,-1,615622,-1,165268,-1,-1,602843,98319,-1,-1,-1,-1,567501,-1,503622,-1,769572,-1,-1,378480,257157,-1,-1,307712,629345,-1,-1,246111,822014,16110,-1,593570,403218,869246,187446,-1,348439,875387,407957,-1,728643,221775,274576,672698,-1,184400,698078,-1,753060,-1,5948,429005,760074,-1,-1,528207,714467,814621,868312,638071,239316,720138,-1,987300,-1,-1,-1,-1,-1,-1,537747,-1,-1,737399,-1,-1,-1,144620,-1,258973,-1,-1,-1,760916,-1,-1,-1,252425,-1,481755,-1,213534,772505,-1,-1,475477,-1,333655,397507,-1,999359,-1,851028,21961,-1,363401,-1,-1,245184,-1,970067,444937,-1,-1,457489,-1,692638,944886,857287,809978,-1,-1,-1,-1,748926,422976,-1,66258,971780,-1,136667,566322,-1,-1,-1,-1,-1,-1,-1,-1,-1,178690,-1,287428,-1,275376,986470,138460,415629,-1,556725,-1,-1,982236,-1,-1,-1,-1,329688,-1,-1,491892,-1,-1,92144,-1,36806,95461,-1,-1,-1,693076,-1,-1,-1,-1,782801,-1,-1,118157,726647,-1,-1,-1,491133,931361,-1,-1,-1,612396,-1,782315,-1,214717,-1,-1,698841,-1,266978,268042,-1,918860,413474,-1,163747,-1,-1,-1,-1,-1,-1,918945,-1,654262,126396,284923,-1,98927,-1,-1,-1,-1,-1,-1,339529,-1,-1,-1,-1,-1,-1,-1,-1,-1,574299,155260,431999,91537,-1,-1,595231,-1,-1,968498,-1,-1,-1,-1,-1,802443,-1,-1,355332,456419,-1,-1,-1,346787,-1,-1,865629,137531,-1,-1,-1,-1,841965,696217,920740,491237,-1,-1,573597,286442,751761,628866,311788,420890,565866,714490,-1,321908,-1,-1,616623,-1,-1,102710,337132,997124,348373,-1,-1,728125,-1,-1,-1,-1,-1,149498,145888,-1,350188,-1,-1,908288,-1,239457,729850,274190,720954,97932,-1,314829,-1,-1,215053,834612,-1,881943,344118,50844,-1,-1,819969,-1,695737,547263,759210,452199,-1,-1,-1,-1,-1,-1,-1,804785,-1,-1,848538,510246,-1,845569,705273,399215,132858,933833,6490,-1,532880,677400,979148,-1,-1,691364,361426,255377,-1,-1,-1,37128,362357,-1,806997,859289,79449,-1,77819,-1,-1,222914,12925,358596,-1,171854,-1,-1,-1,453256,875849,-1,-1,-1,310345,-1,250336,-1,-1,-1,-1,841117,398125,522015,712368,-1,956622,110657,400292,516118,4719,-1,390455,583132,181081,-1,-1,158651,710158,683433,295760,827200,924955,-1,-1,-1,190691,-1,-1,710327,-1,-1,208911,320609,-1,104702,38919,755909,388056,622041,92977,-1,-1,922582,-1,309593,168241,476213,-1,-1,-1,303104,10292,786073,806085,690647,-1,353295,244967,402482,-1,-1,81973,-1,328336,801033,-1,79076,190181,580964,-1,191259,-1,887076,746568,-1,50201,-1,-1,-1,714424,-1,-1,721047,-1,-1,-1,960234,-1,-1,-1,-1,-1,-1,673240,615875,370424,-1,343630,-1,-1,676825,-1,293792,496409,402057,-1,-1,217352,-1,-1,92223,-1,-1,708082,953774,556201,-1,-1,-1,820943,762946,-1,133634,-1,-1,315575,-1,584316,-1,216843,-1,-1,162293,516958,-1,434304,-1,-1,-1,133819,-1,-1,999949,-1,-1,-1,924119,-1,538715,-1,-1,777596,691470,937914,595004,-1,168301,-1,-1,-1,-1,-1,-1,-1,931306,-1,-1,686860,348796,955412,-1,-1,754494,302884,-1,282073,973430,-1,-1,-1,-1,200778,179390,-1,346299,-1,561435,-1,-1,-1,183952,-1,147905,-1,182153,757000,-1,691494,684809,-1,-1,-1,452579,-1,553957,803035,-1,-1,-1,-1,488214,829576,-1,-1,-1,-1,743080,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,90363,543821,-1,-1,-1,-1,-1,-1,923166,335343,-1,980988,491690,-1,-1,773585,847088,-1,-1,890211,535856,-1,847396,-1,-1,-1,-1,548672,906333,-1,-1,-1,55350,375784,373291,-1,96170,-1,195532,997644,983836,128840,856692,108812,-1,164480,766038,-1,-1,173586,245333,-1,-1,-1,-1,-1,-1,-1,-1,541182,-1,600861,-1,-1,-1,260612,-1,781434,566609,-1,144845,-1,-1,-1,284099,654327,930972,880780,1645,-1,106180,847238,-1,15588,-1,-1,-1,597372,-1,-1,-1,-1,-1,-1,849741,-1,785024,448831,961003,-1,-1,792841,132834,-1,-1,-1,-1,769071,322983,708100,295035,-1,497572,679040,289997,-1,-1,730160,733380,457098,-1,134942,108547,942066,601248,46923,111448,321898,-1,-1,855017,-1,777154,614659,798643,475598,165236,973038,-1,746542,-1,637179,607805,-1,-1,94584,-1,586609,417846,-1,-1,787926,-1,153479,5200,-1,411971,-1,-1,-1,323182,-1,-1,-1,-1,-1,-1,-1,-1,839432,-1,-1,-1,706099,-1,12611,770657,363251,-1,-1,377778,542012,-1,399922,-1,-1,-1,-1,341872,-1,-1,-1,827896,-1,836535,-1,-1,925453,945350,-1,534775,304839,651737,-1,-1,-1,373121,931426,-1,-1,-1,-1,-1,-1,972157,12137,747250,-1,813242,-1,-1,927272,-1,776009,102737,-1,799895,334576,113245,-1,662932,900815,971319,529184,765805,-1,-1,-1,-1,-1,-1,730363,854452,928691,317400,-1,-1,417516,511299,-1,211740,-1,-1,-1,-1,50834,420724,-1,957063,-1,-1,-1,131903,820337,294559,862998,-1,496718,111679,-1,100643,1665,932357,327632,-1,-1,211986,584132,243009,-1,-1,-1,753541,-1,899398,-1,-1,-1,127814,-1,156364,338561,-1,510659,-1,406011,808869,819047,299444,-1,778798,170888,-1,-1,904026,-1,-1,952159,91642,-1,-1,-1,-1,257890,-1,-1,834605,-1,-1,-1,-1,501819,5986,217664,-1,31461,-1,572051,-1,27398,5358,433863,932061,260971,-1,-1,616075,645225,116888,557630,206058,-1,137552,81421,-1,-1,705609,-1,-1,399214,-1,18651,-1,-1,808419,678879,-1,417434,268334,960238,866580,-1,698381,-1,-1,-1,-1,113873,91395,-1,-1,-1,933776,110292,-1,118117,-1,-1,878514,-1,-1,810479,494950,828623,864313,-1,526912,-1,-1,527650,620859,132497,-1,349296,160180,102489,-1,386349,-1,-1,310876,-1,-1,228250,-1,760749,820383,-1,126641,-1,-1,-1,-1,784075,-1,383753,478557,541793,-1,718745,-1,-1,911300,-1,461852,281907,-1,931921,-1,-1,558087,-1,47778,-1,14693,967984,179073,-1,416398,-1,-1,765798,-1,-1,846123,-1,177910,-1,161935,693720,750471,771884,760174,-1,279702,-1,-1,-1,-1,-1,-1,-1,-1,864873,279515,89136,501839,700609,-1,-1,-1,-1,-1,833910,756343,-1,137283,-1,-1,-1,839073,-1,870167,968821,-1,-1,-1,454025,-1,-1,72353,345132,-1,266153,762526,792384,-1,528051,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,682249,147528,933836,939388,256607,60387,530563,-1,-1,-1,260693,342093,41262,945856,182702,313063,303791,150799,686322,-1,415569,914892,544299,-1,809097,632290,-1,10673,251792,-1,551575,336348,738690,489152,-1,-1,188667,-1,62649,189390,321517,942754,821740,270149,725900,-1,177427,-1,-1,-1,-1,-1,947250,-1,-1,599342,91964,-1,578789,-1,-1,-1,-1,-1,-1,319561,-1,-1,-1,-1,997304,638051,294036,15837,-1,56103,340385,913571,21640,47590,-1,281033,-1,762085,230274,-1,103017,885254,31567,-1,677661,779991,-1,-1,-1,937618,-1,920835,919628,-1,-1,238262,72492,-1,-1,-1,-1,-1,-1,-1,-1,-1,569007,-1,244894,436480,843082,816964,879463,-1,-1,-1,-1,594628,13770,-1,650576,124195,387725,851198,-1,-1,479300,-1,-1,-1,-1,-1,-1,-1,711366,496657,-1,689974,477136,-1,194451,545935,-1,555456,-1,-1,458432,-1,-1,-1,135892,84184,-1,998265,-1,895028,868520,80221,430133,-1,493232,-1,621817,-1,-1,33038,138451,-1,949624,-1,-1,140340,-1,361315,-1,-1,10924,117097,922326,221034,911103,594473,884411,923342,-1,-1,-1,-1,583934,-1,523690,-1,501995,-1,-1,-1,610523,898855,991211,-1,-1,-1,166836,-1,-1,-1,-1,-1,-1,-1,-1,389957,-1,-1,-1,-1,471610,437666,-1,-1,471627,777059,-1,-1,-1,-1,-1,-1,548328,981157,268862,-1,-1,630772,598702,-1,-1,-1,-1,-1,961675,-1,727498,-1,380309,-1,356888,-1,-1,-1,-1,49866,-1,290580,319582,376739,-1,756009,-1,238672,-1,163244,177153,-1,463818,84175,809293,-1,-1,506985,86257,-1,793101,-1,907517,-1,812785,-1,794712,-1,-1,-1,-1,683711,-1,-1,658144,582235,337924,424820,567442,-1,-1,-1,-1,-1,-1,742548,941058,91783,967381,-1,231327,-1,637145,773904,-1,602366,-1,764001,-1,655256,616242,905670,219325,42515,-1,131773,159689,585683,-1,844652,608834,-1,562888,-1,703761,575121,459963,-1,189273,324828,199315,723752,-1,732074,-1,-1,60746,562145,-1,926016,772418,-1,-1,139778,861278,307533,954828,373465,222047,-1,-1,-1,-1,-1,-1,345291,934478,23340,315669,305212,-1,232324,-1,525088,712080,-1,198861,-1,419083,640515,236987,44327,143274,-1,668602,981778,-1,-1,-1,467543,255531,937564,-1,708931,760933,172965,-1,-1,42849,-1,953206,41867,-1,174151,342465,-1,-1,-1,729356,214643,-1,-1,419043,511249,132500,-1,696284,-1,166852,850225,-1,894966,418671,267416,-1,-1,422047,357885,210264,-1,157488,-1,173141,-1,-1,-1,-1,-1,-1,-1,-1,647099,-1,893801,-1,-1,-1,-1,962288,870236,-1,-1,366012,854810,-1,-1,991326,522734,-1,746575,-1,83240,400475,-1,-1,292032,69584,-1,-1,580721,-1,96933,-1,-1,-1,-1,-1,996829,824130,611909,241136,201341,555137,334795,343123,-1,-1,408198,733667,380570,-1,-1,-1,569192,392224,238309,-1,32667,442127,489805,45315,58296,-1,722740,-1,563125,-1,476543,-1,-1,202404,951750,-1,-1,-1,-1,43046,-1,-1,917987,817550,3959,355271,685401,-1,501388,-1,936135,-1,-1,275900,-1,140268,-1,916678,700050,-1,-1,26247,633570,378611,679768,557660,-1,811905,956811,945917,-1,-1,584223,-1,437077,867356,524834,-1,203860,-1,116931,835356,10556,44045,-1,192779,790737,844140,418102,-1,-1,811554,496930,-1,236717,315033,376487,-1,-1,-1,594036,-1,843678,-1,119033,585823,988712,-1,349948,908708,143697,347322,902567,196737,-1,-1,128712,-1,97211,-1,295416,152003,549494,220368,-1,983218,-1,62678,160442,714894,-1,-1,-1,498497,-1,-1,-1,-1,371028,26346,404689,-1,812012,-1,833445,577770,450019,832937,697150,566073,-1,-1,835952,-1,808613,-1,-1,-1,-1,659609,45135,899023,84541,-1,414400,-1,163795,154168,-1,-1,-1,155746,693637,213623,908136,250651,848067,-1,540017,-1,-1,-1,-1,149010,-1,698540,-1,508112,-1,-1,445693,234631,837810,-1,261727,913866,644275,-1,-1,-1,259340,-1,448244,-1,824347,-1,-1,811124,-1,179523,-1,-1,656089,-1,-1,117184,-1,737315,421420,-1,-1,322570,465985,471282,-1,281026,-1,-1,417554,-1,-1,-1,-1,326702,-1,110152,861769,-1,934286,-1,-1,959603,-1,-1,863752,-1,971775,-1,285473,188195,767066,-1,-1,-1,361556,460413,-1,-1,-1,-1,-1,-1,38676,-1,67614,-1,-1,600939,603594,-1,-1,-1,-1,-1,-1,817605,677135,-1,-1,-1,-1,-1,71522,-1,-1,239493,69752,-1,214192,-1,-1,-1,-1,95761,485128,-1,-1,-1,257368,920444,473080,339273,152620,96585,709164,209776,-1,-1,381991,-1,-1,-1,-1,-1,-1,901029,826251,959379,-1,916257,983419,-1,-1,3063,-1,-1,-1,-1,-1,-1,921072,240703,292488,-1,-1,841896,914401,501490,-1,-1,-1,876876,-1,191143,439962,446916,481784,-1,-1,496970,710623,938368,-1,690151,-1,983397,-1,-1,-1,183543,-1,-1,-1,-1,-1,-1,335090,627589,-1,-1,-1,-1,-1,200162,632686,-1,68786,291508,646411,-1,885676,876855,-1,-1,26177,-1,-1,-1,-1,-1,-1,369586,-1,270843,-1,733933,44393,868679,-1,-1,265942,-1,579076,-1,869559,-1,59266,-1,328784,-1,-1,-1,891366,432488,476381,913088,-1,395516,637431,-1,-1,-1,-1,805010,940847,-1,654612,119646,153542,-1,-1,506190,754583,653569,714570,46865,746941,-1,-1,526790,915456,492931,55056,-1,435849,511936,-1,160897,-1,-1,-1,267627,-1,-1,-1,990554,-1,-1,19748,-1,337574,-1,778016,-1,-1,-1,-1,459762,-1,312957,889184,-1,-1,649479,803610,746513,585820,-1,-1,-1,538282,-1,492091,998946,216088,742100,-1,434382,-1,985728,-1,449004,-1,740875,-1,-1,-1,-1,-1,574166,-1,-1,-1,262202,-1,-1,892752,-1,791298,152368,103898,524473,578923,-1,-1,-1,-1,794994,-1,-1,686483,-1,901821,262508,-1,426261,918632,-1,-1,-1,551398,-1,594073,-1,7128,643769,-1,-1,-1,656831,-1,76218,380968,211251,-1,978280,532860,958019,-1,-1,566176,-1,-1,793164,-1,469146,934138,-1,779050,840094,-1,-1,22990,-1,-1,852463,-1,253052,-1,-1,-1,-1,-1,-1,-1,433027,-1,-1,-1,791998,-1,-1,-1,-1,-1,81267,-1,44705,-1,-1,-1,-1,-1,27051,959949,375260,-1,909738,-1,-1,-1,-1,-1,870994,-1,-1,-1,669405,536321,-1,-1,292044,-1,738069,934884,913630,-1,727398,921970,944670,604699,93994,87715,-1,787278,-1,771814,111066,-1,980942,-1,-1,306759,-1,272162,387588,-1,-1,-1,906414,980779,702678,-1,-1,892872,478533,181502,-1,-1,-1,741543,-1,-1,460302,-1,-1,595214,-1,-1,-1,158207,-1,-1,147488,-1,626266,-1,100683,889238,269120,-1,128296,-1,-1,860094,-1,126465,-1,845215,-1,810712,503151,552965,-1,-1,298583,-1,742124,-1,-1,-1,-1,-1,-1,-1,-1,229953,564341,6914,609572,-1,-1,220010,193754,-1,-1,811562,-1,937193,418993,848465,-1,-1,357387,965202,35204,-1,555787,39766,162144,-1,127856,-1,640952,-1,-1,656519,-1,844976,-1,-1,-1,-1,-1,-1,775912,635617,438570,148868,857022,595687,-1,-1,-1,468719,460814,254639,377572,206127,798887,-1,46086,-1,-1,-1,-1,760382,512591,-1,-1,-1,-1,664585,-1,624703,-1,771202,639320,-1,611330,-1,993540,772186,843123,-1,-1,86679,481707,132066,449064,-1,725126,-1,584349,917614,353151,167093,470563,-1,-1,894512,502462,-1,-1,2588,456247,-1,-1,-1,620337,335422,816038,864249,824856,263226,-1,321280,511831,181674,-1,-1,-1,887734,551413,567046,67328,593350,-1,901578,535909,-1,237871,89315,-1,-1,890319,-1,717123,-1,-1,-1,97432,275193,-1,6657,641312,-1,926873,853109,-1,137751,331673,104269,98494,-1,-1,120723,89215,-1,-1,94009,-1,288896,958876,965419,510172,995963,447227,-1,431153,-1,600868,-1,-1,-1,-1,-1,851279,687987,785417,-1,-1,-1,-1,-1,50008,-1,23121,-1,139910,683961,886191,271615,-1,-1,180265,904673,-1,-1,932818,760937,-1,-1,678601,193993,606051,-1,-1,-1,800212,859374,71615,-1,675657,225126,-1,845259,388834,259661,-1,-1,823398,689719,576205,-1,-1,-1,576429,-1,654056,371943,692193,-1,813636,-1,-1,348260,-1,611815,746442,183560,356517,-1,625092,2462,-1,692995,499049,470375,11817,397073,30692,902876,-1,241032,-1,19610,925526,-1,686096,-1,-1,-1,378268,-1,431007,-1,-1,-1,399927,454252,988311,365118,-1,-1,-1,573622,791774,549265,169175,633859,497764,-1,-1,-1,368159,-1,-1,185330,-1,-1,935748,-1,147249,-1,-1,869712,-1,-1,332675,-1,188608,-1,155051,-1,-1,586163,88750,444768,-1,-1,930951,-1,-1,875860,-1,-1,-1,-1,-1,987248,20934,-1,-1,-1,980495,386911,-1,-1,278603,-1,211076,818505,-1,66237,-1,423498,851557,-1,-1,738656,974171,156431,-1,499812,-1,35624,858168,-1,-1,494316,-1,-1,481114,-1,-1,557659,-1,444093,510309,-1,-1,336533,-1,-1,302096,-1,-1,110212,-1,-1,697505,-1,-1,-1,238535,71289,-1,658577,202914,885544,-1,-1,46307,-1,-1,819753,567153,13965,-1,-1,-1,435519,614369,-1,-1,-1,-1,-1,655579,549899,138215,628148,-1,372660,446818,871266,-1,-1,370917,-1,-1,-1,971201,-1,429596,-1,555721,-1,713036,-1,-1,-1,903496,687965,85793,-1,319796,-1,37975,134487,-1,-1,109634,703702,768504,-1,-1,-1,686939,-1,611135,900088,661018,607408,-1,-1,540043,831121,-1,254381,419054,-1,32318,741886,940614,827821,742243,-1,-1,577865,798855,-1,181446,-1,238299,154212,-1,861731,-1,908747,381034,567060,-1,-1,513361,-1,882463,-1,266006,-1,-1,784147,-1,692992,-1,953585,307987,-1,-1,-1,579072,809023,-1,-1,-1,350090,-1,593795,979279,-1,972174,742936,204774,-1,986724,-1,-1,67540,250929,939786,890861,-1,-1,180784,7233,-1,-1,778059,74351,-1,-1,344609,-1,-1,66448,363899,-1,619945,85347,317234,-1,281650,-1,401524,-1,-1,258829,292168,-1,-1,-1,957054,-1,-1,677984,-1,-1,-1,208802,-1,-1,969712,-1,-1,95566,-1,-1,884197,702596,221514,759196,-1,-1,332854,355775,-1,910951,72049,893487,168592,-1,-1,-1,-1,-1,-1,-1,247671,-1,167388,-1,734808,441001,-1,359309,257268,170276,291216,372687,-1,771859,990366,-1,-1,-1,643190,483308,-1,241400,44258,-1,329916,976864,-1,-1,751340,763914,377870,505747,755678,-1,-1,-1,-1,-1,41878,-1,371664,-1,-1,-1,394836,609528,565231,522271,729300,-1,-1,-1,390269,-1,-1,-1,-1,511868,-1,822972,-1,-1,808801,329587,-1,975847,-1,-1,974058,86943,665709,638951,943857,97898,805627,914624,128018,-1,-1,-1,-1,-1,-1,63538,-1,-1,601178,744962,474471,915044,-1,-1,-1,335228,111710,-1,-1,873739,-1,664524,-1,528172,740550,86268,-1,-1,631837,-1,-1,134322,-1,-1,408020,-1,-1,-1,-1,907863,-1,133547,572678,180657,581917,-1,903528,700384,-1,979504,880697,57585,-1,-1,495327,804591,-1,978461,-1,461834,254431,493933,414685,358539,496140,-1,3377,-1,618712,885720,445150,918661,-1,655466,108498,27426,635676,266758,879695,-1,646680,-1,706919,476649,-1,-1,849492,-1,-1,181820,343125,-1,-1,-1,-1,444255,-1,292741,-1,101528,60429,-1,-1,-1,-1,-1,897048,237892,-1,343018,609101,-1,-1,-1,717567,876539,-1,-1,-1,-1,902173,251118,259695,-1,486412,-1,-1,-1,642683,-1,354378,170540,-1,-1,433338,40327,67061,21466,-1,-1,-1,-1,213347,-1,-1,-1,-1,-1,947705,-1,-1,-1,-1,-1,-1,472409,-1,498915,353106,598636,149041,308460,570938,843436,-1,725711,377943,-1,797944,-1,-1,-1,-1,-1,-1,777484,-1,666203,-1,3395,716444,-1,-1,-1,455140,805517,-1,227808,58294,-1,32460,32397,722209,-1,-1,-1,589668,-1,884625,792543,187430,-1,139936,525311,-1,-1,-1,-1,-1,-1,348329,34742,625281,-1,704150,800567,578654,607529,872778,989009,388344,44728,-1,109525,-1,-1,479965,137468,711209,-1,-1,-1,834534,-1,-1,691338,-1,-1,367165,38206,60415,-1,324827,-1,-1,63618,243712,-1,-1,27038,-1,-1,-1,-1,87361,-1,830021,45014,688361,-1,589788,-1,-1,949890,-1,14497,166912,301497,579013,-1,473674,372087,98197,118756,-1,-1,519107,-1,-1,821591,-1,432188,63487,-1,387363,-1,557118,-1,743468,-1,364786,266,-1,-1,180413,-1,158025,-1,-1,-1,-1,-1,-1,344707,-1,517867,605579,-1,401616,-1,418566,465281,697050,518153,-1,687395,-1,297850,-1,579318,-1,954689,-1,-1,-1,-1,604685,-1,608135,291194,-1,555363,268017,529132,955251,-1,970396,-1,470771,89754,148402,-1,20649,-1,-1,-1,-1,-1,-1,186732,593633,-1,19763,-1,17002,-1,-1,911496,-1,-1,-1,407688,828889,-1,-1,391591,222470,-1,-1,-1,-1,-1,-1,-1,-1,773724,-1,-1,-1,-1,363514,-1,-1,-1,-1,143209,139171,-1,687171,687021,248135,-1,925710,-1,433176,86344,349414,-1,-1,120706,220244,864247,928124,-1,276719,726141,-1,516546,-1,-1,-1,-1,308674,458507,-1,540207,-1,-1,-1,-1,-1,214293,-1,543417,-1,55927,302943,-1,-1,-1,-1,-1,-1,698284,-1,235459,102101,-1,-1,60691,587586,450736,728572,-1,298132,-1,-1,-1,-1,357660,415075,506704,891201,890509,489718,908943,510716,564090,-1,5617,611297,-1,506032,577731,584118,-1,365120,-1,266493,-1,82667,313946,322242,-1,794920,-1,-1,331465,-1,-1,615437,74440,705678,-1,423450,-1,-1,793833,-1,-1,-1,766177,484609,-1,292846,-1,621330,-1,667745,520865,219650,-1,623568,124753,-1,-1,189081,945538,-1,64566,-1,495374,423034,-1,-1,-1,-1,-1,377472,262843,-1,841942,-1,-1,-1,881969,614832,791764,-1,461377,-1,801490,299091,-1,931246,938934,-1,-1,-1,-1,715138,-1,-1,649522,-1,-1,-1,-1,-1,-1,-1,693837,101878,-1,22581,-1,92217,371288,-1,-1,-1,508624,-1,-1,629325,-1,797720,-1,-1,695781,-1,689822,736178,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,58965,212098,766255,-1,-1,-1,-1,431082,-1,930762,204754,359079,-1,278534,-1,655709,-1,-1,233343,-1,828343,554692,-1,-1,-1,524358,-1,342512,271175,808732,606592,-1,-1,-1,586298,300896,704036,-1,776007,-1,-1,884893,-1,312825,-1,-1,675150,-1,-1,-1,-1,394976,-1,-1,-1,788342,481690,675899,-1,58486,-1,-1,-1,-1,-1,-1,579358,-1,-1,-1,-1,435878,380995,-1,789801,-1,890858,550180,672386,-1,-1,-1,878036,-1,723998,950814,473694,-1,-1,347629,110544,715053,596887,195104,-1,-1,-1,781382,816895,490863,790461,-1,688855,-1,642798,-1,785086,-1,-1,298117,968222,28154,-1,-1,421899,-1,574950,-1,434578,-1,-1,63643,812214,699943,470665,-1,-1,114106,338247,-1,305376,-1,-1,194051,-1,-1,12084,-1,-1,325427,-1,-1,-1,-1,321935,860717,-1,-1,211162,163642,-1,398194,-1,-1,901221,340014,-1,-1,-1,530491,-1,822255,365322,212744,-1,519546,-1,-1,-1,60269,547316,656112,-1,757741,231218,94344,51875,-1,-1,44521,-1,-1,-1,-1,-1,-1,308404,519283,-1,-1,-1,352067,-1,-1,178787,644360,-1,-1,931279,-1,-1,102754,556842,-1,-1,746652,315127,552156,-1,572295,-1,47186,-1,646469,-1,728177,656547,-1,-1,179958,-1,29748,400613,182991,-1,764415,-1,-1,-1,429868,835178,336264,-1,-1,-1,981910,42446,978878,925767,285386,-1,559847,-1,-1,67924,-1,669712,-1,353668,202168,-1,529942,118075,233529,570166,691660,-1,-1,-1,-1,898241,-1,-1,743979,-1,503115,-1,-1,358605,851540,806626,655911,-1,-1,225116,-1,113672,55675,477470,-1,543424,44923,-1,-1,-1,-1,865541,-1,762335,207036,-1,952503,392563,754151,948693,549608,117304,-1,285725,806106,-1,424014,932423,-1,554174,49645,520078,-1,44727,-1,733488,52416,635661,289181,178419,-1,741192,-1,637501,684683,741146,-1,-1,482329,-1,-1,-1,973895,361588,-1,995024,-1,-1,-1,-1,135239,-1,-1,520656,-1,-1,919051,951984,-1,460010,330373,-1,811889,736799,-1,-1,-1,675314,539814,904503,-1,-1,912057,-1,522926,81596,-1,-1,87152,710666,732064,873674,90963,-1,-1,-1,-1,104345,-1,60478,-1,-1,681442,364478,58962,-1,-1,159477,709508,617566,-1,-1,52467,-1,-1,-1,-1,265833,-1,569867,-1,-1,-1,-1,958122,7522,-1,-1,-1,733601,-1,396534,-1,-1,678236,305715,342036,-1,-1,348077,-1,802647,358007,-1,617825,149359,-1,-1,701196,-1,-1,-1,-1,-1,718375,501391,-1,445495,119900,-1,401446,-1,-1,435099,-1,573583,-1,37565,236409,-1,-1,-1,503128,88034,738839,58805,124583,179335,896335,-1,275171,-1,940200,341709,515132,-1,836627,392088,-1,-1,-1,-1,122706,-1,-1,707017,204546,-1,-1,305339,818443,470924,677410,-1,447114,-1,-1,879500,-1,-1,638102,-1,122546,-1,-1,-1,542854,-1,989706,480842,117952,161000,-1,-1,-1,-1,-1,305929,57709,-1,-1,-1,-1,-1,-1,108080,750520,-1,-1,-1,-1,964963,716216,-1,797783,-1,235948,134746,-1,-1,607800,-1,-1,38193,473718,-1,-1,64937,554603,-1,974216,-1,-1,-1,-1,-1,958864,-1,389313,140413,174482,229377,822790,570150,872750,-1,-1,840327,-1,920336,484972,683074,-1,706698,685078,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,572786,880715,-1,-1,320303,767543,-1,390985,-1,-1,-1,-1,-1,374270,-1,718128,86211,-1,-1,541482,511476,272456,223605,43882,-1,706720,-1,-1,-1,827981,551450,-1,-1,-1,-1,799070,869375,-1,-1,-1,-1,413699,603867,-1,918575,-1,-1,253527,-1,-1,-1,-1,741676,-1,318049,-1,497393,878066,270641,459125,747684,207741,781488,194945,822911,-1,37031,-1,547865,-1,-1,475787,103525,304746,-1,890408,976602,-1,148805,91078,960893,-1,554942,712383,-1,242552,46649,654009,-1,-1,541344,-1,272709,-1,939013,652015,834016,943139,-1,563080,499720,393510,-1,896648,659651,139087,534034,836807,496592,397623,-1,-1,-1,-1,-1,430446,233964,-1,447986,228567,-1,873235,292515,-1,-1,-1,493931,39733,-1,-1,-1,-1,337677,202127,163064,-1,-1,-1,328860,731499,-1,13184,-1,732264,163209,-1,935987,-1,-1,203716,-1,798115,-1,-1,793762,-1,685927,161911,-1,628934,159110,48694,-1,-1,843778,488130,999809,270228,172293,-1,995413,292091,-1,-1,720397,182990,494914,-1,310645,713069,58511,-1,-1,418289,318063,-1,356090,-1,299399,-1,-1,690463,-1,460378,-1,-1,987871,-1,151894,164120,-1,-1,-1,-1,664376,163497,32289,256056,741272,-1,-1,897852,-1,-1,-1,-1,4264,-1,691606,740478,-1,-1,-1,352896,348787,722743,-1,-1,-1,-1,59139,-1,265704,853668,640145,-1,-1,235105,119334,43761,825471,178427,-1,-1,-1,334752,38366,347447,820342,189882,-1,-1,856122,-1,-1,-1,998765,-1,492080,-1,-1,-1,-1,-1,336278,643322,-1,-1,-1,-1,683528,-1,-1,786090,-1,-1,838112,-1,819398,-1,193906,-1,519950,279906,-1,-1,-1,-1,-1,617649,-1,-1,-1,104189,25175,-1,520554,-1,597824,201261,967298,-1,719036,-1,-1,-1,524926,513305,453095,762433,616082,-1,-1,-1,592285,329133,-1,-1,675791,-1,552054,-1,498232,304911,945709,706975,-1,-1,-1,32091,579474,502068,-1,542191,269857,997344,344958,429349,-1,480714,-1,671079,495890,604419,-1,-1,-1,-1,-1,327541,-1,969206,-1,-1,773625,807943,-1,396616,326272,-1,610824,580013,-1,431782,127776,30124,766909,-1,791145,321197,-1,-1,437304,-1,-1,474097,-1,-1,835241,-1,-1,10157,750870,-1,-1,847130,-1,472425,-1,-1,-1,-1,-1,622850,654812,-1,-1,-1,-1,-1,965244,-1,-1,-1,607561,558782,22236,-1,162230,-1,-1,-1,-1,-1,-1,-1,146458,-1,324782,855487,907975,117772,558683,603451,-1,336774,-1,-1,-1,500717,812046,695963,-1,687483,864855,60776,4492,342615,786298,-1,-1,213423,-1,-1,-1,-1,-1,-1,714133,475451,-1,369466,507367,-1,524693,223453,119181,113062,157310,-1,560393,-1,561964,933388,-1,964920,-1,628699,-1,458967,169708,-1,543856,908864,-1,-1,776366,-1,66764,-1,-1,-1,-1,-1,426778,-1,-1,-1,-1,-1,692915,-1,-1,342629,224772,468143,-1,-1,-1,-1,-1,-1,931596,-1,-1,446024,-1,29699,-1,-1,548984,9826,763013,-1,512471,891363,-1,87111,595240,-1,553839,-1,506206,580950,207594,-1,-1,216292,66654,-1,-1,-1,226165,478892,276788,483971,429709,-1,369193,680390,587932,-1,724053,921238,-1,823185,705374,-1,393574,460541,-1,82877,346877,-1,758454,647481,-1,-1,-1,139152,189594,848494,57613,356580,945048,814739,-1,-1,-1,-1,224812,585118,-1,-1,-1,132842,-1,-1,-1,-1,-1,914281,-1,-1,-1,-1,-1,395964,-1,-1,-1,984479,41830,974353,881319,-1,-1,820529,445305,744125,482582,574853,-1,318266,-1,985789,-1,417400,-1,83453,-1,-1,-1,-1,-1,656267,836748,478024,-1,-1,157719,-1,705189,279019,821378,-1,-1,-1,481355,-1,-1,-1,562147,-1,-1,-1,-1,517041,617627,388864,276884,-1,-1,-1,902217,-1,7242,-1,78560,-1,557930,-1,414443,-1,177866,731270,-1,-1,203773,478398,-1,-1,135590,672606,89494,855502,196684,-1,77719,290646,-1,171429,544766,139615,-1,384264,928784,270485,775655,164700,-1,-1,835941,-1,-1,493306,352948,-1,-1,898173,408745,388735,476769,142176,-1,456042,763271,362591,-1,169396,885539,-1,-1,-1,360972,-1,512562,-1,-1,760293,-1,-1,940079,918150,97295,287964,371002,-1,-1,522457,737514,-1,847066,632154,605201,-1,-1,-1,155070,-1,-1,91490,180130,-1,-1,-1,527131,758350,755545,776769,-1,532810,-1,-1,742106,-1,-1,307744,-1,-1,661141,-1,172015,-1,-1,-1,-1,-1,-1,882168,622694,-1,862784,125212,-1,-1,-1,-1,68486,-1,-1,957584,-1,751054,-1,367621,-1,253629,-1,188220,-1,977230,-1,340343,-1,19176,668689,-1,-1,-1,182580,-1,-1,-1,282522,-1,392107,-1,-1,-1,-1,-1,902079,-1,-1,181238,-1,18805,528284,536158,-1,101147,-1,-1,-1,-1,642382,-1,675395,-1,110005,901486,-1,-1,-1,714236,56306,629577,-1,-1,709862,433971,739063,-1,540578,974966,35139,-1,-1,-1,-1,274040,486153,-1,-1,411458,-1,-1,-1,859026,-1,844437,832697,-1,-1,-1,-1,-1,-1,653106,263337,558909,-1,262337,353235,610834,-1,-1,-1,605695,696064,337387,-1,148230,-1,-1,-1,-1,358255,946554,-1,299882,-1,434522,-1,322195,-1,-1,-1,-1,190596,-1,496940,789078,-1,316541,-1,-1,360913,-1,-1,-1,529918,-1,-1,249391,590068,234220,-1,145795,-1,430569,69899,-1,-1,98973,-1,292412,712585,-1,-1,151593,-1,-1,-1,-1,451821,592429,-1,-1,7081,-1,570322,184830,-1,-1,-1,-1,306819,952866,-1,-1,-1,416183,-1,-1,335579,904049,643592,-1,-1,-1,-1,-1,-1,-1,-1,370481,883898,641726,670696,207780,-1,-1,384425,43283,590468,-1,977206,-1,291228,-1,-1,-1,858917,-1,-1,62544,199925,-1,70444,-1,-1,284758,804640,-1,469512,739767,266973,-1,-1,1678,884811,370339,-1,896902,509799,-1,777794,-1,294379,-1,622478,-1,899724,-1,981465,-1,-1,242996,144148,398981,-1,799865,-1,179588,-1,-1,458022,796101,645409,465324,477596,346283,295804,704410,19399,-1,535016,-1,435918,-1,761529,822370,-1,-1,672665,-1,382953,50025,664019,-1,-1,-1,882281,297454,35675,-1,117669,237628,112474,739205,719264,-1,-1,560102,203117,726662,-1,391614,453183,-1,122470,498863,-1,538146,-1,-1,451814,24104,968190,-1,772817,476313,611578,406357,283848,-1,82228,817595,-1,-1,-1,175065,468448,427281,-1,907588,-1,-1,8463,-1,-1,538202,-1,573891,-1,693027,-1,149333,-1,-1,764256,-1,451714,943007,-1,340153,3738,378634,-1,-1,-1,-1,983179,-1,674610,958791,672838,618682,59423,-1,552079,285045,-1,740816,-1,-1,433837,-1,182392,-1,-1,-1,709889,924977,107089,-1,-1,-1,-1,-1,-1,-1,-1,771830,-1,-1,332670,913474,-1,-1,-1,-1,682929,666072,-1,461698,330499,-1,276888,148556,-1,-1,287766,570731,812057,-1,-1,455639,299059,255205,321386,-1,113341,148253,-1,249673,488666,413119,861429,-1,-1,810563,-1,45535,515725,-1,318448,-1,-1,-1,168385,-1,775466,-1,310029,-1,-1,317371,398808,-1,-1,-1,-1,-1,229600,-1,-1,549046,556569,-1,662660,-1,-1,722084,-1,-1,-1,10643,-1,-1,-1,-1,-1,-1,668172,315822,-1,-1,675645,242189,-1,-1,-1,537461,768340,968830,-1,-1,706128,-1,-1,-1,-1,492352,384875,-1,-1,790113,-1,-1,393185,919564,836846,477869,-1,843263,995817,-1,732437,-1,112272,631193,-1,99148,-1,-1,901334,-1,-1,370770,460466,797298,454536,134877,244261,-1,542754,334950,-1,863955,692388,24515,442805,923355,-1,132218,-1,125491,171434,-1,-1,553226,967493,956522,-1,-1,621634,-1,894979,790104,-1,98289,-1,-1,-1,-1,912325,-1,-1,792141,-1,208838,-1,-1,-1,302640,444122,-1,740345,965710,929293,-1,-1,897930,552988,-1,821418,-1,-1,510169,95378,606241,-1,232076,-1,-1,-1,127169,-1,537759,-1,-1,289011,523165,618293,-1,-1,994999,-1,340398,-1,-1,317033,-1,-1,-1,-1,64831,-1,-1,-1,-1,313993,666016,-1,160826,745031,607710,746853,-1,-1,736285,571691,-1,-1,-1,622923,-1,-1,614364,-1,245694,829395,-1,552259,54987,821569,458422,-1,136287,376152,320933,823181,773166,820157,-1,-1,-1,519598,192817,-1,-1,737065,-1,726365,240532,-1,149221,-1,-1,7800,-1,720456,-1,110067,543720,-1,292487,-1,914608,409976,787777,967419,619909,-1,-1,-1,568174,632472,408339,546225,315365,514128,605659,-1,89485,-1,343376,981892,136871,-1,-1,435990,507027,-1,-1,-1,222234,-1,-1,856239,-1,149252,-1,-1,689930,-1,29770,351067,372848,866217,389289,159067,804771,834595,692478,-1,-1,-1,740892,325581,-1,839583,464848,143949,968491,748934,-1,529425,-1,874662,542441,-1,-1,-1,-1,-1,-1,-1,127142,703872,147592,768782,995408,144987,929706,-1,728188,-1,-1,-1,265701,616201,-1,-1,36680,-1,-1,581951,462394,997178,667751,-1,100624,-1,-1,-1,926708,726413,-1,-1,-1,-1,-1,29084,287424,15968,718512,-1,306335,-1,564093,-1,-1,540042,754335,430478,681788,-1,189784,862616,-1,463149,-1,-1,-1,172143,973784,-1,881764,205166,366287,-1,-1,-1,583895,-1,-1,593086,-1,-1,-1,-1,-1,230039,517872,57417,878881,-1,-1,-1,674016,-1,-1,832286,592155,44902,-1,557923,-1,-1,-1,214992,-1,861026,453450,-1,-1,308130,379809,-1,615405,-1,676910,-1,812943,-1,-1,158897,-1,552363,539261,53354,-1,583618,-1,-1,-1,-1,738631,958390,-1,-1,-1,-1,331369,-1,875976,-1,698931,-1,-1,-1,806210,-1,23483,482299,-1,-1,873038,-1,624378,-1,872622,270019,589301,916975,683137,80296,-1,40499,-1,620593,755828,392054,-1,-1,-1,799514,973858,166890,724752,-1,465714,250501,-1,-1,55292,940664,125201,81591,699038,754785,-1,-1,307845,203134,-1,-1,503599,497863,975152,-1,123738,348744,-1,-1,943439,-1,-1,-1,-1,-1,116201,-1,444189,37933,802585,-1,-1,423506,-1,227297,-1,-1,-1,771845,265735,-1,40977,-1,450060,408462,-1,-1,-1,981075,777614,703994,-1,-1,158496,31075,901375,-1,904663,-1,-1,-1,870890,-1,167825,-1,472210,-1,-1,915631,245540,-1,-1,-1,-1,-1,-1,-1,267420,-1,186764,132715,-1,619182,-1,-1,14699,270881,266097,-1,-1,158691,630663,-1,487978,790855,808080,-1,-1,384848,-1,-1,695271,2771,-1,-1,328640,-1,639377,477361,-1,817136,227461,181515,-1,354357,-1,504621,-1,630328,-1,-1,164869,562985,577557,991684,-1,13139,-1,-1,840110,350435,-1,-1,221853,-1,-1,-1,-1,-1,568870,-1,-1,-1,269517,-1,-1,-1,378450,-1,-1,900855,-1,-1,-1,419651,6227,-1,-1,260294,680591,-1,16020,-1,-1,419980,-1,-1,600551,428950,913773,819142,481099,886838,-1,986944,98069,758246,542446,900639,-1,284859,556593,680221,-1,-1,803080,186524,23043,880497,-1,-1,439866,-1,-1,-1,-1,-1,-1,-1,-1,-1,745674,-1,829744,409837,323943,-1,942078,-1,-1,-1,126145,-1,-1,-1,-1,5677,524987,-1,-1,57331,637168,810328,221836,-1,-1,970605,293641,732844,29282,-1,-1,721067,372695,-1,-1,721768,-1,-1,-1,-1,-1,939934,-1,455524,-1,-1,-1,809983,-1,-1,592785,619941,641760,757477,393540,-1,-1,736437,369141,-1,-1,618937,24559,82654,542030,349342,409674,-1,-1,919235,-1,539703,742517,495860,-1,41691,861590,-1,-1,32900,27729,-1,879495,-1,192000,655954,-1,106428,585848,540133,-1,675634,-1,-1,-1,-1,997983,469584,609069,249052,29349,-1,-1,557729,-1,327332,-1,-1,-1,-1,-1,-1,-1,-1,525661,214385,394708,-1,509771,248872,313826,101620,964753,-1,-1,431097,-1,-1,832683,-1,54878,-1,-1,405572,-1,-1,-1,-1,876304,-1,-1,711802,-1,468667,363922,471795,808729,560939,757516,813575,-1,-1,-1,-1,254813,-1,-1,485524,-1,-1,727112,-1,-1,-1,-1,565299,556264,730965,-1,333884,-1,429381,-1,-1,767848,511275,984060,-1,-1,984891,367442,-1,-1,-1,311087,455704,-1,-1,381892,299627,101900,-1,-1,577408,483376,-1,522210,-1,-1,-1,493019,274907,-1,-1,511379,238907,-1,-1,-1,-1,291047,-1,-1,-1,-1,444639,817746,262885,877547,-1,-1,-1,762538,814317,794382,-1,614419,-1,-1,-1,-1,501019,439282,336000,-1,296402,902340,493764,-1,-1,-1,-1,-1,-1,-1,823790,836731,827192,169141,942768,-1,868828,-1,961441,-1,972672,566289,416069,-1,-1,-1,335580,951775,876022,-1,190504,-1,-1,797036,301782,110283,-1,168778,879176,-1,175238,-1,601059,985660,-1,259570,886996,-1,-1,958200,-1,883634,-1,-1,835352,-1,-1,-1,-1,-1,-1,761906,-1,-1,35277,564853,-1,349743,649646,730582,-1,-1,-1,-1,332575,-1,41171,-1,-1,-1,-1,-1,855925,-1,81305,91661,-1,-1,-1,167080,-1,787684,198306,-1,284933,-1,-1,-1,933782,592989,935427,673604,918962,-1,-1,273622,-1,-1,-1,430961,872563,-1,243627,-1,969366,-1,494217,945019,681693,-1,-1,725028,190480,-1,-1,752330,418997,-1,-1,635308,-1,606800,869350,597832,98495,-1,-1,-1,698825,-1,-1,-1,693658,-1,-1,-1,649520,-1,717763,-1,98540,745856,-1,597442,888586,-1,651644,-1,548381,-1,-1,-1,899515,-1,-1,-1,-1,-1,-1,963052,30961,68557,190721,410449,219369,-1,-1,14810,-1,-1,-1,-1,-1,526169,-1,-1,-1,826938,333096,871995,884535,665848,47698,758142,166849,669848,-1,-1,-1,41438,-1,747631,-1,359903,63566,-1,-1,-1,-1,-1,-1,-1,365140,-1,-1,170911,-1,983729,921804,544449,922066,-1,-1,424923,-1,886023,920501,581306,-1,895548,-1,163759,-1,-1,898182,599033,125993,-1,105061,-1,965484,126140,-1,624115,125015,213872,-1,301237,303527,425057,712192,-1,-1,-1,189788,472247,-1,886050,582974,-1,349003,-1,765494,432127,77811,-1,-1,-1,510446,852507,-1,-1,272874,70059,174731,-1,-1,-1,-1,-1,353592,519218,363989,-1,110534,896873,-1,234281,768247,-1,473191,663912,-1,861911,-1,106454,130228,-1,172587,-1,657553,510562,-1,373564,-1,794608,-1,-1,-1,-1,-1,960596,-1,925662,-1,56821,-1,38889,-1,781160,853120,972023,-1,-1,382562,-1,-1,-1,-1,-1,556081,480497,-1,-1,48225,530945,-1,-1,934027,-1,678175,898338,211419,-1,-1,-1,-1,210491,-1,-1,433492,-1,-1,384051,941931,989108,433796,-1,765195,848349,-1,505945,32166,232795,-1,339463,745568,511534,-1,395618,427619,172160,-1,665242,-1,-1,360435,-1,266688,18053,476434,-1,-1,-1,-1,-1,772658,-1,789411,336443,459279,262595,654042,119331,419359,-1,-1,708378,213604,742014,-1,46954,229346,-1,773125,-1,-1,-1,64303,-1,-1,66427,-1,-1,-1,118067,236662,-1,955512,104487,-1,-1,129940,-1,-1,-1,-1,30079,-1,-1,884491,-1,-1,-1,397340,348204,73818,622611,667706,-1,-1,718700,-1,-1,677142,-1,973912,422070,-1,704493,336804,466881,716876,725608,450242,-1,765544,900614,608870,-1,22388,-1,964126,801217,-1,312343,-1,-1,-1,-1,622687,-1,-1,682403,207520,-1,6165,-1,-1,-1,-1,213968,-1,149155,758125,222861,-1,-1,158322,-1,564651,234998,-1,-1,593739,-1,85063,577817,931993,746120,37053,290379,164946,-1,-1,313438,-1,639011,450962,140543,856241,551969,805306,-1,659871,-1,-1,762815,64714,-1,-1,650706,-1,300506,-1,507817,-1,-1,-1,-1,243393,272590,-1,62362,366958,-1,-1,993322,-1,-1,191040,623105,-1,820886,281046,-1,238629,824166,489402,-1,-1,-1,-1,-1,-1,454380,932681,344442,-1,238054,-1,511977,-1,-1,-1,25388,-1,838594,909840,-1,-1,-1,393904,579159,32718,236783,383672,288564,268481,341835,-1,-1,-1,943378,-1,-1,-1,-1,836282,742104,597450,-1,-1,191968,823195,-1,645019,214450,-1,-1,988341,618272,-1,706490,899190,-1,-1,-1,346122,-1,999912,740150,732319,-1,792614,292010,-1,512673,-1,996163,361145,-1,121077,436892,660441,-1,-1,927830,-1,28502,-1,7705,-1,-1,-1,885645,75130,229653,-1,-1,601893,-1,-1,32989,730999,-1,499869,747786,219063,-1,-1,-1,-1,319552,619275,-1,-1,387192,-1,453660,806164,-1,-1,-1,-1,748694,87499,525265,-1,-1,257635,-1,434764,892655,-1,-1,613108,820154,-1,291631,-1,-1,237695,-1,770192,-1,294731,-1,495489,-1,483717,-1,-1,-1,-1,-1,-1,-1,-1,404957,436381,-1,138701,-1,-1,234203,-1,967884,489917,608596,-1,523981,365002,262612,588062,-1,59086,-1,516168,-1,339888,-1,-1,-1,795625,354756,-1,693632,-1,-1,177534,-1,139361,96747,845686,-1,-1,283809,564925,-1,-1,-1,228041,-1,-1,-1,622617,411800,-1,-1,-1,105838,-1,-1,-1,-1,16042,846987,900996,853474,-1,-1,372412,949585,986173,-1,124839,-1,930477,797235,171423,104905,-1,463228,172161,-1,29263,671555,376002,-1,129186,644940,-1,-1,117176,-1,427635,871311,86066,543086,388955,188959,-1,-1,607535,-1,271915,139284,-1,-1,136995,850517,129858,538944,254005,-1,417265,350399,-1,434812,-1,685069,-1,567533,751827,824868,464719,743215,-1,-1,811530,-1,-1,244220,-1,-1,434859,191317,443941,-1,-1,-1,394133,536444,507389,559575,-1,-1,925257,375614,-1,172787,-1,-1,-1,-1,100879,544075,591386,451929,-1,65938,791316,547539,972805,370514,488555,-1,527288,-1,991613,-1,38713,-1,-1,507846,7289,898176,207483,-1,-1,-1,-1,-1,-1,873910,185581,-1,635127,-1,679711,-1,-1,-1,683173,-1,-1,289358,375418,-1,421797,-1,823825,-1,-1,600224,156099,-1,677411,242336,-1,626950,-1,-1,-1,-1,32818,-1,355110,663951,296664,-1,184713,672496,-1,-1,-1,-1,368744,463121,494079,584004,136471,-1,-1,-1,456084,449818,542455,846939,716159,-1,13017,-1,772465,857961,-1,-1,-1,-1,693745,-1,286616,-1,281940,-1,-1,731549,536801,804121,-1,200451,-1,375425,-1,-1,-1,267801,835912,603632,-1,192849,-1,377699,-1,-1,-1,-1,979763,224668,-1,142245,-1,-1,-1,521746,-1,-1,-1,871610,-1,218322,204634,-1,-1,-1,935459,-1,-1,-1,574613,-1,-1,-1,226660,72404,-1,534984,-1,-1,160128,-1,84921,274490,-1,-1,-1,-1,175033,-1,619642,65841,453249,26574,106913,-1,610897,-1,-1,858329,671980,-1,-1,-1,-1,185959,-1,953194,643193,504509,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,376300,-1,737986,455803,378101,-1,1526,808770,-1,645913,491171,-1,498171,417067,-1,-1,-1,525881,-1,718759,-1,-1,-1,-1,-1,973504,232957,818004,-1,-1,-1,282657,-1,-1,258017,663759,596870,343856,-1,801658,821112,105580,-1,60728,-1,-1,579587,479711,9091,525854,122334,-1,-1,24166,363186,-1,-1,186068,960033,-1,991481,-1,486672,-1,828048,-1,651681,808857,25688,-1,-1,349174,142932,-1,915664,-1,697691,-1,355174,901287,369761,540348,781857,-1,-1,-1,726765,495237,-1,-1,-1,-1,480418,-1,770186,433349,312015,211787,376010,466920,-1,-1,-1,829354,865012,619321,-1,913191,-1,-1,-1,337933,-1,864710,-1,-1,-1,426054,69993,-1,18815,292879,-1,614911,891890,805900,719004,-1,881358,753748,-1,-1,437590,150763,-1,892281,75368,871789,-1,923888,-1,669253,298553,-1,339855,153299,303046,-1,727564,-1,-1,889211,52988,393773,-1,961263,-1,-1,-1,-1,-1,607166,805824,799483,-1,-1,822631,718817,-1,621332,-1,-1,605768,576728,-1,-1,577177,235493,191288,435773,-1,-1,-1,-1,446667,738263,564493,801242,-1,396912,975895,-1,-1,129045,455258,309638,-1,-1,108187,496649,-1,145705,643562,352216,-1,895009,612260,921496,61144,349252,-1,271720,69601,-1,864883,321323,-1,28376,-1,39002,513327,776787,-1,518721,-1,309487,552246,759940,687742,-1,818657,-1,460483,470457,-1,-1,141442,145612,-1,361840,-1,-1,193537,419485,721219,332457,721818,-1,612814,39841,156416,-1,433936,620280,527983,-1,-1,-1,650631,998345,-1,-1,-1,123126,-1,-1,425815,-1,-1,-1,-1,-1,-1,80652,853425,997262,41865,-1,270263,-1,5168,-1,-1,362603,164778,-1,-1,86930,-1,728309,780362,-1,348832,52779,-1,-1,419335,180002,969849,-1,975470,-1,-1,480528,-1,171993,-1,815774,-1,-1,-1,201718,928352,797838,305045,861347,419976,466394,-1,-1,477767,-1,-1,-1,110565,292409,-1,-1,556976,-1,61168,-1,-1,404570,746502,288737,-1,-1,386094,-1,356307,-1,57996,721395,548582,466152,-1,425274,242317,-1,-1,-1,-1,-1,-1,176749,-1,-1,588677,-1,250256,-1,115516,856863,482524,-1,-1,748198,-1,-1,-1,-1,146242,381925,-1,524465,-1,256800,-1,-1,-1,164144,-1,-1,-1,596044,-1,949467,-1,-1,493130,-1,825416,-1,-1,-1,-1,366014,533096,83245,26575,754831,979675,758881,-1,402756,576670,-1,470164,926940,-1,-1,598022,855689,702999,-1,794606,337343,919737,-1,482784,646387,-1,600345,-1,299508,-1,678748,-1,560162,250966,311029,-1,-1,162529,568309,891440,368543,539914,-1,-1,232578,410032,550222,-1,-1,-1,990041,266678,941258,345304,-1,573050,312076,-1,-1,-1,-1,-1,462317,-1,486662,-1,533733,-1,-1,-1,-1,641075,-1,-1,986636,-1,-1,-1,367312,-1,534431,972129,-1,-1,-1,-1,865471,-1,346620,-1,-1,-1,-1,887599,525703,534770,861076,-1,930047,-1,-1,-1,-1,900447,809661,87329,446619,-1,663427,-1,-1,-1,-1,-1,576680,-1,582900,98198,322577,-1,-1,991191,-1,630281,-1,382310,-1,215210,-1,-1,437715,-1,-1,988334,833286,-1,64100,90117,-1,146518,-1,-1,353926,-1,-1,438652,102612,249268,-1,-1,-1,-1,-1,-1,84209,-1,143613,-1,-1,96655,-1,-1,-1,634824,-1,954641,-1,-1,-1,-1,606597,-1,-1,-1,-1,105068,-1,728916,-1,470334,322455,-1,55106,-1,-1,-1,-1,-1,154130,-1,-1,-1,-1,-1,-1,147213,169864,301260,768354,701589,-1,297847,-1,823771,230487,353282,743463,-1,497046,856716,-1,545712,-1,-1,687588,641918,-1,399381,768381,597099,195670,969080,290685,-1,-1,-1,48657,960244,-1,860106,-1,-1,-1,-1,-1,-1,-1,930355,172580,-1,890529,-1,-1,-1,-1,-1,240089,-1,703243,-1,-1,-1,508379,-1,783816,-1,-1,291772,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,489881,-1,919374,90237,676098,595480,581455,335302,137951,731623,-1,-1,297975,735671,738606,853922,-1,59881,-1,-1,-1,-1,521268,101470,442736,381799,834643,-1,671863,83409,460435,-1,661249,-1,-1,148111,-1,-1,964608,-1,-1,18405,-1,712598,-1,617760,-1,-1,-1,-1,-1,-1,375570,71083,466727,-1,-1,910470,-1,-1,-1,-1,691608,-1,610048,152910,121477,-1,-1,-1,883528,320168,-1,762508,-1,-1,-1,-1,-1,90856,-1,-1,402929,-1,-1,-1,-1,157047,-1,-1,541295,260999,-1,-1,910193,224290,808808,-1,199875,-1,-1,457084,-1,-1,855827,-1,-1,494313,255005,-1,921748,71713,-1,938641,-1,-1,-1,945346,220961,-1,-1,993971,878224,-1,-1,668776,990253,698922,-1,-1,965173,-1,-1,604473,270745,-1,-1,-1,997410,-1,135096,531876,416967,-1,228335,-1,872047,419151,63089,-1,-1,-1,872317,975830,291212,-1,473585,-1,27943,-1,-1,463434,-1,-1,-1,-1,-1,-1,571639,-1,457839,-1,364649,570430,-1,-1,-1,-1,-1,347953,777258,-1,-1,-1,165922,-1,593857,321473,-1,-1,996285,-1,-1,624049,-1,351123,308586,-1,-1,471747,-1,-1,165750,406624,501800,-1,-1,576807,-1,-1,-1,226054,683078,771377,-1,-1,-1,999813,-1,-1,-1,953892,718800,411242,-1,-1,-1,948397,-1,-1,-1,919982,-1,-1,171737,-1,-1,326075,279712,620458,899024,831394,630903,-1,695119,-1,-1,-1,173725,22681,-1,800912,-1,333369,256725,469603,689147,680082,30707,-1,-1,-1,157229,3278,-1,330878,398041,249737,-1,-1,-1,333503,872886,-1,386350,-1,118960,356382,-1,195817,-1,-1,440524,-1,-1,455918,-1,-1,134519,426165,760632,208643,-1,-1,-1,967479,-1,801884,343412,51475,-1,823709,-1,534964,995858,875492,-1,-1,-1,-1,211006,753771,567200,943745,655465,638292,786081,-1,-1,-1,776863,-1,-1,-1,-1,-1,-1,-1,-1,804758,-1,241843,-1,-1,-1,-1,-1,-1,-1,769884,-1,-1,321272,839544,551270,454285,57176,707850,-1,861917,-1,232854,-1,228124,-1,203913,680222,-1,49576,122046,-1,447578,388288,-1,-1,764555,-1,423874,-1,-1,-1,-1,-1,686926,-1,-1,399548,-1,-1,-1,39697,-1,-1,607270,-1,-1,-1,-1,456581,768438,425638,-1,488007,615359,579184,-1,-1,-1,108370,-1,-1,-1,208586,-1,655452,162891,-1,-1,-1,126163,-1,803590,-1,-1,-1,558486,-1,321302,-1,161023,523940,-1,-1,-1,963789,338205,950686,934694,787587,-1,905006,-1,-1,660167,-1,-1,-1,3290,858979,431990,929560,-1,280159,-1,-1,541610,884892,460817,806558,38440,679949,712817,388787,397937,-1,-1,140386,-1,650688,-1,414992,-1,695441,-1,-1,765068,535299,364135,971289,-1,-1,-1,725077,552278,-1,-1,710857,-1,660591,-1,-1,950838,-1,193780,467139,658136,661177,-1,351007,-1,-1,390725,489472,540206,-1,559736,25023,-1,63869,-1,-1,-1,282237,-1,-1,-1,883580,644645,-1,936077,-1,-1,715873,-1,-1,-1,616725,59559,-1,909145,278982,-1,500787,875644,673051,-1,-1,334975,696336,241126,-1,-1,357709,-1,-1,919272,109094,939890,519755,400063,-1,-1,-1,810077,452755,612609,725735,676353,362426,-1,-1,25922,-1,815126,929183,-1,331446,-1,-1,816155,-1,-1,-1,584388,288743,-1,31464,374938,-1,132248,-1,319825,-1,-1,650214,80646,-1,866832,800180,102640,447248,-1,672330,629772,-1,713391,45536,629779,958425,347283,827691,654950,-1,575301,327986,-1,286143,-1,-1,197575,45868,-1,-1,498103,-1,5890,496701,-1,-1,-1,178368,825119,609446,-1,160886,-1,-1,871298,641182,-1,821870,874253,325596,13916,217849,-1,894039,-1,793282,-1,-1,-1,544397,145919,-1,-1,593249,921373,-1,-1,309360,674239,713354,-1,888813,41404,882207,109356,-1,382062,-1,372231,-1,108671,151415,484722,194152,-1,-1,-1,351674,788839,-1,833994,582367,-1,-1,-1,-1,-1,-1,-1,114020,-1,-1,496364,-1,20270,831082,401779,-1,-1,70619,-1,999546,-1,172898,-1,632775,-1,-1,553409,664960,-1,-1,-1,692105,455291,-1,857097,295466,-1,769195,-1,891257,-1,837329,-1,904929,-1,23894,36586,-1,-1,-1,-1,-1,-1,430055,-1,-1,264205,-1,843789,839211,-1,-1,656390,-1,-1,137770,-1,-1,-1,840214,425887,-1,947380,-1,-1,725495,-1,-1,-1,-1,-1,751987,358018,211126,48153,-1,351025,914988,800057,123816,399475,-1,585463,491277,295577,617773,-1,-1,-1,429867,216248,371662,22440,-1,-1,-1,-1,174030,-1,648876,848261,-1,-1,305937,987917,-1,737061,-1,601119,-1,75879,582956,-1,-1,-1,836244,-1,-1,2604,-1,-1,681740,312018,-1,-1,866456,102053,-1,-1,489279,570254,-1,955184,598878,-1,768467,38544,-1,-1,161988,363014,-1,-1,-1,-1,374945,21494,56402,-1,-1,854654,-1,471565,-1,943403,647565,952082,113784,-1,-1,-1,961678,937127,-1,-1,-1,-1,373572,261119,950060,-1,-1,-1,-1,-1,781240,516542,867061,-1,-1,17762,969464,-1,848328,534018,670327,-1,495976,-1,256105,-1,659895,602425,-1,-1,-1,563171,793001,-1,169394,-1,-1,-1,-1,318893,-1,858845,117521,256755,541892,254501,861304,335655,-1,-1,-1,591826,-1,-1,316042,-1,633378,734447,-1,135713,-1,-1,987557,-1,-1,666899,-1,-1,-1,484647,-1,-1,145660,392984,178206,-1,653454,-1,67035,762752,-1,-1,779305,-1,405388,-1,357111,887796,263253,-1,-1,158247,-1,301158,261731,601697,639890,489405,-1,-1,-1,906397,268770,778776,-1,980329,558797,255834,-1,754030,309907,-1,-1,-1,-1,673918,145307,-1,-1,-1,38937,485297,854821,817059,560406,555866,828169,524137,75881,-1,-1,-1,963685,810854,-1,-1,614071,58885,-1,224849,-1,154819,260944,51567,-1,-1,50690,767072,231862,574926,-1,656083,655491,-1,-1,119691,478253,565044,854579,110837,204448,883801,-1,-1,-1,-1,378050,51806,-1,-1,706021,92668,-1,-1,-1,328804,-1,-1,653912,-1,783149,-1,499118,487516,837609,-1,-1,-1,-1,-1,-1,-1,-1,-1,217753,-1,-1,-1,633530,-1,-1,-1,423140,-1,-1,-1,691841,-1,321325,-1,-1,887466,-1,643757,-1,3886,834126,630024,987735,641000,-1,887526,522144,-1,191859,-1,86850,712147,-1,933397,634127,-1,-1,-1,8076,-1,160668,686668,-1,170183,303801,648428,-1,-1,179631,137566,448023,-1,220014,-1,-1,228779,587347,-1,402974,-1,178297,651710,-1,628889,-1,-1,512655,-1,960665,-1,985208,-1,-1,225498,-1,-1,-1,-1,-1,823563,-1,-1,-1,-1,455160,889644,-1,-1,-1,-1,847807,-1,798912,-1,376455,-1,-1,-1,863216,58926,478540,-1,-1,-1,-1,-1,-1,-1,455458,-1,-1,525314,232737,994940,376575,-1,-1,-1,-1,216722,-1,-1,598457,759709,131007,-1,625293,138450,347978,-1,155952,928469,-1,-1,627112,-1,-1,-1,-1,936954,-1,-1,-1,42167,362062,-1,-1,-1,-1,-1,708663,905470,624355,271739,507878,232937,-1,90208,386027,475367,901167,458566,-1,-1,-1,-1,-1,-1,-1,472706,882231,-1,-1,-1,745554,-1,-1,-1,-1,-1,-1,708867,-1,-1,928563,-1,-1,271725,-1,882403,832627,674855,511830,297766,-1,506215,-1,-1,976285,-1,-1,-1,-1,-1,602326,382247,-1,-1,-1,-1,15375,-1,871681,135716,23006,-1,623478,323551,-1,365498,-1,-1,832222,-1,-1,-1,77771,-1,149739,-1,-1,667204,58689,702456,-1,742732,-1,764929,548782,-1,-1,-1,369166,603418,-1,885071,-1,870394,-1,744257,-1,5180,599426,319656,-1,-1,251654,419582,590541,73445,-1,-1,-1,-1,-1,-1,-1,872089,-1,210461,-1,-1,214087,-1,274823,-1,-1,-1,921573,485419,-1,360718,-1,-1,397720,43098,311662,683991,139193,-1,-1,25609,-1,-1,143478,287754,357902,55527,984662,-1,-1,-1,-1,-1,-1,-1,384687,142997,-1,57965,-1,554644,696441,111729,46981,-1,-1,339755,547440,398539,4068,980972,567135,-1,50900,290889,-1,413627,32195,-1,942496,-1,537369,478215,750278,622284,394569,-1,-1,-1,334173,-1,486083,634105,-1,-1,-1,313931,-1,-1,-1,337638,564577,237174,736809,678145,394173,364715,710723,286520,-1,883249,390617,954723,464994,492736,818749,505553,-1,-1,352061,-1,-1,792630,-1,-1,219715,100065,31978,-1,924410,-1,226444,-1,-1,-1,-1,-1,-1,-1,712341,-1,-1,-1,-1,157190,-1,-1,-1,196678,926431,443604,-1,46363,288748,-1,763298,-1,235789,848914,985480,235312,-1,-1,910821,690127,-1,-1,152523,539224,-1,-1,-1,-1,49659,651597,367415,585087,986808,-1,-1,218292,911598,-1,60116,-1,688383,-1,255065,927439,-1,-1,-1,869007,-1,458373,992774,957200,892063,-1,-1,387688,759059,-1,17259,-1,-1,298731,90344,42300,-1,140964,-1,-1,-1,898974,-1,13082,-1,223887,-1,201553,-1,-1,-1,294840,823869,-1,218381,697781,-1,-1,-1,645234,-1,-1,-1,358502,-1,-1,327612,-1,-1,-1,655216,-1,414677,560843,925946,138812,-1,-1,603042,-1,808973,-1,-1,80421,-1,931962,459761,-1,-1,-1,-1,953458,-1,358646,211510,881078,271980,-1,223618,747832,341544,-1,496311,-1,508743,-1,389781,644795,-1,-1,-1,-1,540009,-1,792120,247257,428328,888227,-1,886080,813504,563270,-1,-1,-1,94968,49497,-1,954092,639743,814163,-1,-1,905567,560589,-1,-1,-1,-1,-1,-1,-1,-1,500933,439317,448781,-1,-1,39172,-1,-1,799360,916872,785500,324422,-1,292472,100344,-1,-1,-1,-1,910824,601393,-1,467701,-1,-1,-1,607837,-1,-1,599997,-1,405214,932140,-1,357382,110652,-1,-1,-1,-1,51768,-1,58493,-1,-1,-1,-1,64813,591566,-1,205875,119027,900964,330832,-1,852855,-1,-1,-1,764882,-1,551524,946766,-1,-1,172492,-1,422554,698036,-1,-1,948802,-1,432638,960283,-1,-1,-1,-1,571453,410858,888534,-1,-1,-1,-1,513660,-1,-1,-1,478229,-1,-1,107046,766672,814264,-1,391848,701703,-1,460655,96619,-1,-1,777502,-1,-1,316946,-1,-1,166791,652432,143740,-1,-1,-1,526301,423456,34216,-1,-1,-1,682361,911097,179155,590982,388665,-1,106018,-1,-1,-1,-1,13192,162467,898866,-1,531221,-1,-1,447616,-1,829083,432242,223520,903369,539350,170629,-1,143085,316014,837623,-1,-1,-1,573423,385957,716617,-1,-1,-1,320535,-1,-1,-1,345559,3391,197620,-1,-1,713439,131192,717512,773791,863370,163793,-1,928631,948460,-1,-1,-1,577156,489641,386306,-1,603433,-1,242436,934888,-1,-1,-1,-1,729897,174945,-1,-1,-1,-1,-1,-1,897474,862650,963419,-1,289245,-1,-1,687922,-1,-1,-1,681597,-1,-1,-1,56771,539392,784967,80897,332021,-1,787799,-1,-1,145436,337284,994560,-1,-1,-1,519838,-1,-1,53348,737861,-1,-1,465631,24167,254895,506330,110812,-1,545816,867363,343216,97508,306874,720807,-1,-1,718660,543031,-1,372020,699167,488783,674885,205931,-1,597036,259421,-1,-1,369013,-1,920720,13478,-1,-1,-1,-1,308196,889286,-1,991785,-1,415059,-1,967248,41925,-1,-1,983002,177383,264496,494678,-1,450631,755042,-1,614423,-1,956768,-1,321339,-1,-1,970958,-1,-1,163099,-1,425852,-1,-1,612636,-1,-1,666548,859520,376062,-1,270895,315875,-1,540038,-1,-1,582084,-1,782762,338238,-1,-1,637324,-1,513364,728574,765616,-1,-1,-1,553635,984809,-1,216591,-1,-1,795197,247611,188708,731058,34714,-1,136236,192042,494782,252087,679092,-1,-1,304427,284736,-1,849945,914588,57372,116232,-1,125462,538010,680441,304652,865224,527627,-1,-1,-1,212735,881638,586679,-1,591061,-1,814687,-1,-1,-1,-1,-1,-1,-1,52852,-1,483892,975359,-1,-1,-1,146822,-1,78215,-1,416934,-1,-1,-1,458093,457523,466019,291791,-1,130349,-1,805749,146432,46828,406865,576404,-1,-1,-1,-1,523718,506601,289715,-1,340840,383356,-1,958182,956598,-1,-1,574598,-1,82894,452171,147353,453914,-1,-1,-1,-1,126480,258871,892227,410664,-1,389614,727647,-1,-1,114618,-1,-1,690009,920352,-1,347120,-1,918799,789991,-1,969903,-1,-1,-1,-1,614089,9503,411279,-1,-1,-1,-1,-1,-1,594029,-1,-1,-1,-1,29564,252564,933659,412753,588001,-1,308208,125014,850337,-1,703265,258879,386322,-1,110500,-1,-1,300431,-1,-1,-1,894006,-1,472288,-1,357019,259526,458423,-1,790368,493275,829060,-1,131419,643486,913566,-1,554452,-1,711149,615025,925805,-1,674444,998023,-1,-1,-1,-1,616634,-1,-1,191588,339414,873991,237074,772175,-1,-1,-1,1204,799681,-1,-1,-1,164748,-1,-1,-1,148289,922164,478546,788044,-1,-1,941690,-1,-1,-1,674584,502998,-1,773319,102907,-1,-1,167522,331909,391445,-1,-1,-1,759620,-1,798730,358385,-1,416323,-1,925187,-1,-1,955917,-1,551421,-1,850626,9914,-1,-1,-1,-1,91830,560477,-1,-1,733,-1,-1,-1,972155,373556,758198,399297,-1,246952,312156,414921,959054,-1,875214,591261,739083,451551,261766,-1,-1,273288,996407,-1,-1,-1,-1,-1,-1,-1,966909,-1,-1,610166,-1,-1,180060,-1,877335,289974,106642,-1,-1,82411,-1,719997,-1,-1,688182,991989,810086,-1,-1,492765,-1,-1,-1,-1,563139,774263,-1,-1,-1,-1,-1,356815,-1,860196,-1,689744,452617,913937,-1,594726,528481,-1,-1,-1,280696,-1,547962,-1,-1,-1,-1,-1,-1,-1,302103,-1,-1,-1,-1,-1,-1,-1,837591,798685,-1,-1,-1,855296,809234,-1,-1,-1,-1,-1,808406,-1,876238,493390,-1,502234,356886,-1,555485,17238,-1,-1,-1,-1,-1,341879,-1,649809,178794,972309,-1,369377,170149,-1,-1,-1,-1,681139,263553,-1,309123,-1,146596,-1,35083,-1,381752,-1,113979,-1,-1,636661,-1,444430,666383,-1,922546,246781,772754,682743,880458,-1,-1,-1,164109,248095,95924,298897,316159,24802,370228,755825,-1,-1,326586,-1,562734,318341,493551,192185,-1,-1,-1,-1,-1,-1,-1,820933,-1,-1,946875,-1,471126,-1,-1,773745,-1,-1,815226,-1,78478,-1,-1,741986,-1,-1,943618,-1,473730,224669,-1,350216,161753,992670,841916,-1,982886,-1,-1,-1,9987,263964,-1,849706,311119,789392,452299,-1,455932,873397,-1,764380,-1,-1,593275,-1,327240,-1,-1,352947,-1,-1,889636,-1,719460,-1,-1,-1,-1,-1,214156,-1,512617,-1,-1,246768,-1,-1,328251,875535,675319,-1,882735,258905,316392,91816,-1,-1,-1,-1,217305,-1,-1,986803,758619,995347,-1,-1,531307,-1,-1,-1,174772,-1,-1,480433,490550,147835,-1,500966,-1,-1,343644,-1,-1,642132,632571,-1,-1,209900,271846,-1,-1,-1,-1,-1,540495,161677,-1,-1,600164,169486,305771,-1,152056,66482,78398,-1,477995,607020,-1,-1,580015,933888,251818,-1,-1,534730,96820,856567,-1,-1,-1,69801,682132,-1,-1,290095,-1,-1,-1,855121,-1,-1,-1,444239,-1,301980,-1,783122,-1,332506,941816,-1,-1,209351,486945,-1,825813,849977,391809,571051,142110,-1,-1,155064,-1,-1,874493,772843,199832,850668,-1,308916,584337,15204,-1,-1,-1,298318,157036,176145,-1,915467,827420,-1,-1,-1,-1,-1,-1,229029,468216,-1,308563,788516,-1,753100,158858,873501,52642,848805,-1,234393,780611,723860,744545,-1,-1,-1,113060,-1,-1,-1,478927,-1,584492,336730,-1,16861,639034,-1,-1,-1,858087,-1,-1,191242,426766,-1,-1,206521,-1,133800,-1,-1,-1,-1,-1,947858,388175,-1,396059,-1,-1,216008,81736,-1,-1,-1,609106,-1,-1,-1,-1,-1,75856,-1,273131,954460,-1,-1,62075,-1,-1,-1,-1,-1,67608,-1,-1,-1,979990,64801,-1,574791,701005,-1,-1,-1,725679,-1,-1,443269,-1,11354,-1,415344,-1,-1,-1,76689,925644,-1,-1,-1,-1,487787,907950,-1,-1,110486,503529,483110,-1,-1,-1,999299,-1,911986,-1,927507,-1,147290,189962,330906,-1,-1,356906,502816,477524,-1,-1,894773,88338,579210,-1,423884,154688,444877,-1,-1,-1,168826,-1,536311,347907,125856,572436,382170,-1,149718,-1,713018,-1,-1,64375,-1,-1,864879,943880,166944,-1,-1,-1,-1,-1,-1,302210,-1,607820,-1,-1,846591,-1,-1,-1,-1,251393,-1,-1,690500,709926,-1,-1,-1,351609,435295,-1,-1,-1,-1,962238,787989,370089,-1,407663,-1,216436,496183,-1,656205,-1,-1,922998,-1,-1,579917,288199,-1,720608,874951,478007,525906,-1,-1,623726,588472,645324,-1,-1,-1,959383,135406,544562,556456,-1,118373,-1,-1,576592,969921,4473,649902,-1,-1,393532,250364,-1,-1,126597,338720,509540,36675,-1,453312,-1,-1,-1,780401,181632,18958,78356,-1,-1,-1,-1,167853,487675,-1,-1,-1,117466,775862,-1,-1,-1,-1,293745,-1,-1,606047,948599,-1,439842,-1,544700,-1,-1,479721,866457,-1,48208,-1,160398,-1,854529,952674,706193,426987,-1,302566,-1,624290,469770,196546,623082,-1,311690,213924,-1,296910,892261,-1,181496,626964,-1,-1,359458,49802,322960,954351,-1,442323,-1,217736,353368,523984,124739,-1,-1,-1,-1,-1,426954,-1,851681,715558,-1,598669,574870,-1,91678,-1,20122,151640,550829,338564,-1,-1,-1,-1,727050,-1,-1,6448,-1,211873,-1,548768,467539,251532,2383,364314,-1,829065,363589,-1,-1,743025,-1,-1,-1,138051,750582,-1,-1,976791,11304,-1,561248,-1,-1,710701,569981,-1,-1,-1,200609,273323,912285,461078,-1,-1,285398,-1,557772,735540,921995,-1,520244,-1,157973,-1,-1,537695,-1,-1,-1,-1,-1,-1,977047,-1,-1,851753,-1,976116,-1,-1,403243,-1,-1,747843,605632,-1,501209,966398,516636,439068,-1,-1,650151,-1,508127,-1,-1,521030,272723,890630,941118,-1,47534,-1,912407,851155,-1,-1,-1,-1,-1,212444,-1,929549,-1,-1,-1,-1,451836,-1,457045,156573,623511,-1,195115,626079,-1,-1,927203,282300,-1,-1,761384,-1,-1,431857,110986,301981,-1,921592,222772,-1,-1,457255,111149,-1,-1,408274,684193,-1,-1,894900,-1,-1,-1,17190,-1,-1,-1,-1,457568,-1,-1,-1,7097,-1,183360,701112,262930,-1,-1,-1,834038,717846,988216,-1,-1,-1,265410,-1,-1,626696,496263,569589,-1,886704,700058,90236,472982,878570,152256,-1,330502,-1,-1,665253,145100,852682,529114,-1,857813,814930,658633,767801,-1,-1,449987,-1,334505,476536,149257,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,923212,-1,-1,933892,-1,-1,-1,-1,-1,286969,983875,-1,-1,-1,270000,657656,618584,138124,-1,136921,766664,897776,-1,849494,817388,918246,663092,636926,-1,721171,-1,214443,607445,-1,604064,-1,-1,236767,101849,-1,-1,831304,126512,210815,-1,-1,-1,-1,-1,518869,273498,-1,675139,96211,-1,-1,753727,28680,-1,-1,818292,-1,871629,-1,213155,740040,-1,-1,611621,-1,624403,-1,-1,536743,-1,993619,622108,597345,-1,325147,855637,46789,704339,-1,-1,213191,-1,-1,186173,979622,674207,-1,-1,283998,120726,86302,649547,869485,-1,-1,-1,969870,-1,-1,216359,626850,176755,-1,132480,832669,-1,-1,-1,-1,-1,92098,176202,-1,822364,-1,-1,609317,448772,-1,-1,49891,559210,465674,576496,463829,964425,511947,33111,614945,735121,787507,-1,653027,-1,-1,402416,801390,826552,-1,603777,328004,-1,-1,-1,451171,295580,835329,-1,-1,487061,-1,671626,-1,-1,368759,-1,159468,463495,-1,-1,165565,-1,677260,-1,-1,-1,515989,826739,-1,34636,-1,573836,-1,174021,435621,256073,906374,-1,-1,396698,445633,603362,409948,-1,446253,-1,-1,-1,-1,91231,-1,773197,-1,-1,680499,613495,-1,-1,251628,-1,221175,-1,255326,934197,482898,419587,843044,-1,367521,114305,-1,302977,66978,117464,999341,-1,-1,341818,272074,55611,-1,409665,188468,-1,411656,-1,-1,859430,-1,120571,-1,-1,-1,-1,930756,815441,484433,280380,-1,-1,303261,-1,-1,257408,-1,-1,-1,629026,-1,467431,379397,155634,-1,-1,405333,536111,393131,536802,941100,-1,-1,-1,-1,-1,809233,-1,-1,-1,109899,300810,175810,807755,982814,-1,-1,113673,620249,-1,-1,266588,727518,986115,-1,-1,-1,-1,-1,-1,63779,173092,888849,-1,-1,-1,-1,-1,-1,-1,-1,-1,87436,-1,864914,421692,893456,957574,-1,170568,202492,-1,822336,610816,430506,-1,630194,-1,-1,228037,-1,-1,994873,-1,-1,543041,33959,32327,267538,-1,-1,-1,302008,-1,523895,-1,176341,-1,175140,-1,352598,751169,605905,470158,-1,-1,326791,-1,-1,-1,252965,935162,419389,-1,948888,-1,-1,-1,138897,949781,-1,-1,8389,222421,-1,-1,-1,-1,-1,297304,250099,-1,415656,-1,-1,615602,-1,884070,-1,-1,-1,-1,652942,-1,-1,814427,743557,462484,504510,723085,474683,279572,-1,-1,-1,-1,286594,-1,186794,76636,467084,-1,879239,856779,-1,-1,-1,-1,738922,-1,336161,547921,-1,412945,-1,-1,436867,-1,-1,-1,761117,-1,-1,-1,509246,-1,69141,372125,59549,-1,153149,-1,-1,746296,765116,572186,461053,941179,-1,-1,204660,723510,-1,150639,847170,-1,-1,-1,-1,977472,-1,-1,-1,-1,666503,-1,747510,285272,669270,725291,-1,-1,-1,-1,-1,93737,512978,-1,-1,-1,95082,745691,4593,31252,331820,-1,243265,417705,335595,801223,-1,869013,-1,114799,-1,737057,746335,760375,166150,-1,938733,711140,320439,909403,-1,260459,841332,151835,673690,792212,-1,959539,-1,-1,-1,65716,146055,-1,952286,337114,-1,236030,770353,-1,-1,-1,-1,552751,-1,-1,411042,-1,384747,-1,566414,-1,-1,793771,-1,-1,-1,-1,100388,-1,-1,228300,683035,-1,21875,-1,232231,-1,109972,-1,140436,-1,509980,-1,-1,854442,577904,-1,944309,-1,260305,638398,-1,630332,-1,237614,903404,356794,403948,-1,-1,-1,39973,-1,-1,724607,593104,-1,993967,-1,-1,-1,727748,-1,778509,-1,562987,406126,426855,-1,-1,389230,-1,101380,222995,-1,-1,980302,-1,-1,79017,-1,820215,-1,844884,-1,-1,-1,475879,-1,115828,-1,99181,150887,-1,-1,-1,-1,-1,-1,107162,756047,-1,-1,914103,40579,-1,-1,522551,-1,-1,925719,-1,-1,602233,-1,636675,333216,680495,688974,-1,783868,-1,505651,969508,-1,-1,-1,-1,933859,619563,363972,-1,-1,-1,-1,228000,839875,-1,384117,-1,827652,-1,-1,-1,197535,55202,689578,219562,-1,286862,620701,643033,-1,944637,312762,69514,257007,587752,361216,310726,797472,-1,98724,879628,636243,431087,-1,811650,-1,186221,428707,831563,-1,-1,395851,-1,23396,-1,644306,-1,-1,-1,461531,437282,318066,-1,-1,494895,-1,804021,-1,-1,29025,997509,331063,819009,-1,149335,146041,-1,82753,625258,-1,969280,-1,484389,80006,-1,557649,345153,-1,62791,452996,839786,-1,844692,991377,834061,-1,259831,-1,369650,273265,-1,696671,-1,675845,-1,-1,279185,-1,-1,-1,149016,527139,142705,-1,247563,-1,470505,934560,667754,143674,274535,716744,27393,13376,-1,-1,193970,222801,-1,282910,829978,388449,-1,819256,-1,464545,-1,99188,658601,341894,-1,-1,397420,-1,-1,-1,-1,-1,-1,-1,-1,750556,-1,984811,-1,-1,800748,-1,-1,-1,-1,46399,776134,-1,243894,401511,864918,-1,761343,-1,253485,-1,-1,-1,-1,917086,120444,-1,-1,-1,-1,-1,-1,-1,-1,234197,-1,26428,-1,807467,-1,413977,-1,652634,-1,-1,223971,396734,530866,458111,-1,751027,551183,-1,417174,983441,335898,799466,618667,-1,-1,167323,-1,-1,-1,-1,-1,-1,428903,-1,-1,418942,-1,-1,740481,414138,692991,-1,43215,119013,874207,-1,-1,630091,-1,-1,-1,-1,308412,-1,320584,-1,-1,438687,-1,894693,10519,838241,672468,679307,-1,504246,721293,458242,4283,413640,-1,-1,-1,-1,-1,799735,50542,-1,132349,463846,50314,-1,616368,850862,524976,380798,-1,655252,271257,362330,-1,330773,-1,-1,102813,26656,-1,-1,263657,-1,674898,-1,381965,21224,508010,757026,-1,788990,56075,-1,553197,-1,-1,704224,482602,53236,472643,170996,-1,857374,-1,-1,526662,-1,461129,-1,46352,-1,568161,-1,100521,530061,-1,-1,-1,-1,201754,620803,57263,405823,-1,780181,971990,148481,377776,-1,-1,-1,-1,-1,-1,795872,-1,944053,485232,280714,-1,599531,239598,-1,770094,519856,377439,899352,283569,679058,143237,541135,-1,561536,313769,850235,928138,-1,-1,776832,850322,565261,-1,744057,862073,-1,-1,-1,-1,-1,339021,-1,-1,-1,-1,-1,-1,-1,144672,-1,-1,922467,338282,236333,-1,713107,-1,-1,-1,-1,402532,-1,-1,134623,-1,151240,754556,-1,-1,508689,922256,842742,639970,889906,600564,755969,-1,336456,893218,637261,305318,-1,959567,956509,-1,977122,409044,723021,-1,989909,45615,-1,-1,-1,140144,-1,681714,-1,79039,-1,-1,-1,-1,18279,344369,896102,872808,-1,93864,304686,-1,420532,289209,-1,-1,-1,494622,842758,613507,-1,468524,234843,-1,-1,-1,86233,-1,337585,65610,783928,578775,-1,939511,-1,-1,-1,-1,611487,922184,-1,-1,660344,-1,-1,461496,809197,768969,744244,738737,-1,-1,-1,-1,-1,875605,-1,614181,-1,750574,663884,198295,797486,23211,856994,-1,907845,571783,-1,-1,-1,944108,-1,-1,529333,-1,-1,839407,647356,88499,887558,807584,-1,-1,-1,-1,-1,984171,822289,-1,167265,872378,137412,-1,143287,576095,-1,883049,-1,-1,-1,668247,594121,-1,126183,-1,-1,387373,66556,-1,901422,365465,-1,326556,-1,159414,-1,120971,214487,322208,65860,320295,389537,-1,-1,-1,797778,534784,-1,533211,534000,-1,185622,-1,-1,-1,34769,-1,-1,-1,-1,450067,584395,371407,458006,-1,-1,695512,-1,6054,623962,956150,225443,-1,-1,-1,988830,-1,-1,-1,359773,-1,-1,37182,356225,45983,817015,32439,273000,816948,-1,-1,948797,657288,85007,-1,-1,769488,-1,-1,-1,281534,654345,-1,745322,376435,-1,278712,104249,714317,693502,39798,-1,107833,-1,286917,-1,321391,-1,366965,-1,633249,642978,370974,471814,-1,278486,-1,294765,-1,237096,-1,-1,990194,-1,243745,840374,584527,249820,-1,-1,335778,106382,-1,771414,918356,-1,-1,-1,-1,-1,27932,82139,-1,-1,-1,402143,-1,254254,-1,690490,-1,-1,212173,-1,-1,-1,-1,45927,209837,110394,969904,453153,-1,197367,227257,-1,-1,-1,862957,-1,685171,558856,-1,324764,527827,657250,994704,860637,615319,207402,126618,960721,-1,623545,19069,587909,-1,637389,446620,-1,-1,-1,-1,-1,-1,-1,484665,-1,-1,-1,-1,551623,539659,683063,100121,149540,571437,-1,209009,-1,-1,996731,927351,-1,282678,385408,561553,613938,478446,452213,-1,-1,-1,-1,-1,318517,-1,-1,665863,-1,-1,487993,619119,387492,256426,859553,161727,-1,837889,-1,816242,-1,-1,689053,-1,-1,408609,-1,416817,918494,455765,-1,157827,852087,513130,969162,-1,552883,-1,705535,-1,-1,-1,324850,136668,767435,-1,-1,-1,711179,-1,-1,810464,173147,637806,-1,-1,-1,-1,159610,-1,351700,-1,-1,-1,-1,-1,863399,452410,308748,-1,-1,-1,-1,350327,164191,-1,716351,-1,595854,-1,123059,260262,122379,-1,786417,-1,519629,-1,-1,825682,-1,410939,-1,414208,64624,-1,-1,-1,951943,118082,-1,70751,-1,-1,889,536295,347326,-1,-1,270778,-1,983881,-1,-1,526646,775439,756204,624824,425464,-1,955116,-1,407453,-1,-1,948363,233386,-1,416658,-1,-1,90812,863108,179318,163276,157427,-1,-1,-1,-1,-1,970153,-1,-1,598384,357741,-1,141407,-1,-1,190800,-1,-1,904696,-1,-1,-1,733875,-1,356018,483020,-1,363470,256858,789866,731982,241513,129774,11243,94305,-1,261437,-1,862812,-1,426546,523070,-1,-1,-1,766185,351380,430575,-1,53363,29149,986865,-1,121786,937351,693273,-1,-1,61039,-1,842820,-1,154529,716745,-1,-1,-1,814942,592495,-1,795194,-1,303322,-1,-1,-1,193576,-1,-1,-1,-1,291792,-1,-1,253019,312406,-1,-1,-1,515803,882049,741160,-1,313545,-1,900824,-1,978686,-1,319594,825943,1274,596531,-1,-1,-1,-1,-1,472212,651460,-1,-1,-1,-1,-1,-1,816593,-1,-1,932087,-1,306675,40026,230661,253991,834602,396991,-1,-1,602207,-1,940576,800249,-1,-1,305418,231022,955183,-1,-1,-1,666650,-1,248207,506765,-1,996258,-1,374775,-1,-1,836730,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,484811,600667,278403,713030,579694,-1,-1,603106,520073,548118,545928,20343,-1,-1,-1,991128,-1,765757,368662,109527,94634,-1,-1,-1,-1,-1,922799,-1,-1,-1,-1,-1,264705,772865,-1,174663,-1,895599,-1,-1,-1,724804,401799,-1,262979,-1,277170,155528,716493,-1,-1,633536,467841,514901,-1,-1,462397,-1,-1,-1,444753,-1,436305,189196,-1,828525,-1,905419,-1,-1,77036,-1,-1,-1,379054,925554,288651,-1,-1,336708,583203,476170,-1,-1,602740,-1,-1,-1,407991,-1,711540,-1,709159,-1,306399,-1,37522,-1,312752,-1,987935,-1,922991,-1,591397,-1,-1,494671,700883,-1,-1,-1,-1,-1,361086,-1,582233,883810,984754,-1,-1,865594,504893,953430,-1,926340,-1,410322,930759,-1,-1,211042,733051,-1,-1,698423,89289,119072,259151,-1,-1,964569,793787,857611,853280,902526,-1,-1,511512,-1,676304,808246,293082,-1,579931,-1,432351,518533,571558,21097,-1,784411,905172,812792,-1,-1,656978,779164,-1,610466,868574,66105,542587,534124,-1,33894,-1,-1,705852,66034,443916,931873,157864,-1,510152,-1,-1,169275,472774,-1,700263,-1,862986,763368,-1,-1,932827,772216,467453,-1,-1,-1,521859,-1,603331,-1,814263,-1,-1,112421,678927,662391,-1,-1,657941,-1,-1,412238,-1,724248,812257,-1,23291,-1,665012,728066,-1,-1,-1,794844,42948,490717,-1,808727,-1,-1,846704,-1,-1,-1,260259,-1,-1,289481,-1,-1,740629,-1,189409,524127,-1,633254,622606,-1,197483,-1,-1,-1,992998,905488,346633,-1,-1,-1,80362,475776,995681,-1,-1,-1,-1,402346,-1,-1,385174,-1,101810,87297,14201,-1,216580,835447,738513,-1,560031,885621,761433,-1,-1,934243,152264,-1,212598,242715,-1,-1,-1,-1,501211,319035,860510,-1,939338,666551,309736,326495,446389,199284,100258,216887,749021,337768,-1,-1,-1,625003,-1,584938,-1,152154,370650,606222,-1,180263,573408,10596,943037,909127,-1,953568,-1,195778,862694,-1,330986,801899,-1,469679,479419,258656,677898,5459,-1,-1,-1,-1,342295,-1,-1,593950,906707,681617,482163,496414,-1,466710,-1,-1,32940,566714,239039,-1,224009,176788,-1,-1,-1,-1,-1,-1,344737,789341,-1,-1,-1,928337,833390,-1,764936,-1,181393,882531,-1,657694,425656,-1,-1,162232,-1,402708,-1,-1,-1,-1,-1,-1,-1,423540,500552,712793,492836,-1,-1,-1,-1,857286,-1,-1,388759,152354,-1,650124,-1,367466,-1,-1,-1,-1,307079,683015,-1,-1,-1,876478,666727,-1,814941,475458,785001,-1,150856,548449,625428,112463,-1,-1,-1,-1,981152,123409,107026,-1,942237,-1,469677,387147,294399,315556,-1,955644,-1,-1,737673,-1,216178,-1,-1,57117,689095,-1,-1,-1,-1,-1,-1,-1,759100,-1,-1,-1,-1,-1,522727,875450,-1,-1,764367,249405,156562,556705,-1,-1,-1,532625,821201,-1,376737,-1,-1,581248,62411,-1,-1,979356,777824,-1,-1,-1,-1,-1,935946,-1,771597,-1,80019,312732,-1,995313,-1,588730,-1,451796,-1,519963,-1,342547,470629,-1,-1,997379,374985,503298,-1,551620,949511,682830,-1,133804,-1,-1,71324,-1,898401,-1,719883,-1,-1,-1,-1,830401,-1,-1,-1,-1,267711,-1,71157,-1,-1,971244,-1,156614,-1,-1,962431,-1,113092,-1,136110,-1,-1,746193,729491,571153,-1,932060,34616,27986,-1,-1,-1,193253,-1,88991,-1,-1,704523,802754,-1,609998,-1,-1,-1,305566,-1,-1,-1,-1,996552,-1,-1,970742,-1,27864,849018,128456,-1,58640,-1,27004,-1,819298,296792,-1,58478,-1,916956,308191,-1,494345,827417,747487,-1,-1,-1,34263,164115,650889,84121,861495,352452,69633,311975,-1,501726,395859,901854,-1,-1,-1,-1,-1,336052,158327,697071,-1,-1,-1,320016,735256,-1,-1,-1,-1,878426,515923,-1,354234,229482,-1,-1,-1,553938,-1,871336,468791,297489,843186,768034,-1,924469,499785,558929,-1,155988,539721,170591,585319,-1,560209,-1,-1,-1,-1,486447,553645,-1,48476,655014,492184,-1,830868,-1,167847,480989,-1,-1,-1,439449,-1,-1,470621,384697,-1,-1,-1,525557,412450,894010,139754,452433,783432,-1,269173,519643,302004,935161,876417,514486,-1,633252,-1,691817,-1,991635,94389,794910,627391,-1,728318,-1,-1,300917,-1,-1,183381,523715,971707,-1,-1,-1,-1,358757,-1,-1,-1,57776,-1,185472,631593,-1,783395,153296,986970,-1,785851,502041,552274,-1,807379,651259,-1,-1,-1,-1,864875,193169,594388,180704,959609,232355,214888,-1,-1,445085,-1,779062,-1,764399,-1,655048,272294,-1,442285,-1,635588,-1,117611,-1,-1,-1,494574,-1,-1,184901,-1,-1,-1,940110,-1,-1,-1,-1,-1,-1,660144,-1,802022,-1,694830,-1,-1,368793,-1,-1,723655,372214,254091,-1,-1,562945,-1,685060,-1,310938,418312,-1,-1,-1,922590,-1,953662,100312,612648,-1,691685,-1,447020,189540,-1,-1,-1,-1,590972,444619,-1,592581,820485,-1,-1,420036,-1,270975,-1,-1,578554,-1,-1,785957,-1,-1,988196,-1,-1,277757,583866,-1,-1,587760,863297,-1,947561,-1,846357,666692,228502,-1,980825,-1,-1,-1,167220,511958,894190,-1,181343,206357,-1,-1,669411,661482,-1,-1,655565,33246,160411,-1,-1,-1,-1,-1,-1,78709,-1,545997,-1,-1,300214,714545,-1,218429,-1,427560,-1,-1,-1,781721,721466,358509,811261,605930,975320,533633,214260,-1,265314,-1,-1,524999,-1,-1,671504,-1,250184,-1,294049,974532,216396,637006,-1,65554,441088,-1,-1,-1,385017,754592,858669,-1,-1,36474,-1,432555,520970,594605,-1,-1,-1,-1,953165,-1,25247,-1,553978,850635,886640,851993,-1,-1,212029,-1,-1,540151,-1,294629,-1,-1,-1,-1,162601,-1,-1,209033,320291,-1,-1,19675,706770,-1,608177,63494,120800,598526,-1,839620,-1,657491,735290,-1,-1,745829,-1,-1,-1,-1,369058,688236,-1,435173,-1,122121,-1,814680,-1,473028,696026,475651,-1,-1,985586,461863,-1,-1,-1,-1,-1,289648,-1,-1,-1,-1,-1,727821,-1,-1,-1,-1,-1,-1,-1,-1,202972,-1,-1,-1,-1,194517,-1,-1,848258,522513,-1,199834,876589,995979,982775,694803,941401,-1,-1,-1,-1,-1,435453,-1,742253,363769,176777,-1,-1,-1,103530,-1,108385,-1,-1,-1,-1,565806,-1,947321,318817,63193,-1,783914,-1,955224,544806,-1,-1,-1,-1,104934,-1,-1,418233,-1,-1,683029,-1,501147,-1,742921,527142,790212,923085,-1,729659,-1,986412,151177,562581,-1,-1,791608,8995,781694,-1,777928,-1,-1,492625,244169,844545,720071,-1,-1,-1,427983,460554,-1,608783,174051,457411,73295,793300,52383,695557,184353,537295,-1,-1,-1,426773,-1,-1,921611,-1,289354,-1,-1,-1,-1,-1,-1,559309,-1,-1,968103,514138,373052,-1,167616,-1,375485,680223,-1,-1,444290,551659,-1,922440,62435,34959,331500,-1,504153,-1,-1,799887,-1,312846,-1,311175,-1,19109,102853,952290,507684,102433,996373,-1,-1,-1,467794,900379,-1,-1,970250,553727,-1,614970,730851,2762,42024,952777,-1,-1,657209,104884,-1,-1,169930,506161,-1,-1,-1,968171,825645,763098,-1,-1,20197,947764,-1,700434,525161,-1,277622,825108,773686,270819,-1,139048,228261,-1,-1,8723,-1,-1,-1,-1,12339,660508,-1,-1,208872,675984,162794,-1,917084,-1,-1,996810,280672,-1,92670,13731,572301,-1,195577,-1,-1,308204,864137,-1,306334,-1,544604,808446,-1,-1,434623,-1,-1,-1,471531,-1,501342,681660,73046,990610,946955,-1,-1,-1,-1,-1,241857,-1,-1,-1,823059,322734,659141,981631,834664,301545,-1,585489,592559,720526,161403,-1,732199,-1,-1,-1,548329,-1,-1,-1,-1,237822,942844,873965,469480,-1,884119,-1,143330,397225,304882,-1,-1,895589,940665,696037,287229,583489,423453,-1,155866,-1,936190,-1,57333,89202,322269,-1,-1,-1,375881,-1,241196,659569,645074,3217,742350,-1,-1,879013,-1,728674,350301,180327,-1,970938,967066,-1,-1,-1,-1,548607,428372,225461,310885,-1,902631,215562,226895,216893,-1,793090,305206,973817,642624,76532,78938,-1,185788,855998,-1,-1,-1,-1,590394,-1,851013,-1,-1,402966,363168,264590,564113,790074,-1,-1,966500,362623,670143,-1,-1,-1,139436,524215,-1,-1,-1,821590,-1,-1,826338,-1,570694,-1,-1,210685,310172,-1,-1,-1,626719,-1,246735,46106,600560,-1,-1,374604,288249,-1,604974,107861,-1,548901,324092,717737,-1,-1,-1,521827,707011,-1,77249,672325,695824,357404,-1,-1,441389,-1,289494,719433,-1,629339,379497,44315,256824,73301,466498,-1,-1,174237,-1,718938,-1,715573,-1,526470,-1,-1,336444,988978,-1,633237,963473,-1,268404,-1,-1,-1,-1,704075,-1,-1,190156,-1,-1,-1,10899,674272,652724,-1,-1,-1,885077,63571,22106,745038,515263,-1,-1,758434,-1,233171,455657,-1,619496,691892,666728,-1,-1,519274,-1,916125,-1,359648,422476,475333,-1,-1,-1,88276,676771,-1,-1,-1,-1,97345,-1,-1,-1,671510,-1,329432,-1,-1,-1,769617,-1,-1,-1,100559,-1,-1,-1,-1,-1,432733,874440,-1,281669,605601,-1,590165,835092,882089,-1,-1,-1,883105,-1,-1,-1,-1,-1,-1,234982,-1,608284,-1,295979,-1,-1,-1,-1,817472,238495,-1,423485,52724,-1,54260,85126,895994,707919,-1,-1,788824,-1,-1,-1,235328,782233,456332,141834,310676,-1,729353,921984,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,542043,-1,-1,-1,616474,480820,432576,118001,-1,-1,833163,-1,-1,338129,202447,-1,994551,464898,-1,470709,192292,666808,-1,75939,-1,-1,-1,-1,75139,-1,-1,149323,90134,-1,-1,901963,661438,88411,-1,-1,-1,-1,59838,100366,459863,-1,186775,-1,-1,372471,87453,647367,138304,69107,-1,-1,-1,17993,694889,-1,-1,74482,514557,-1,-1,-1,213932,865554,-1,-1,-1,365501,6683,-1,-1,58338,-1,-1,131015,-1,25734,848463,-1,413204,663916,-1,-1,243807,579027,-1,152508,-1,736920,-1,727154,769279,589945,171269,-1,-1,-1,58411,-1,-1,561864,111516,22512,-1,381900,-1,-1,-1,639142,200087,988933,106330,419416,-1,-1,243181,-1,-1,372479,-1,-1,119463,791071,-1,892490,124310,-1,-1,221164,288315,-1,-1,-1,-1,-1,410595,354546,969689,-1,-1,904030,-1,634177,-1,-1,-1,-1,-1,-1,-1,676950,-1,399269,795665,-1,708008,500285,327965,-1,159377,-1,-1,-1,728112,869217,813343,577674,-1,-1,239100,157853,535802,694505,579100,467613,-1,423382,353855,-1,452526,-1,-1,-1,29894,-1,32172,463444,-1,-1,-1,-1,-1,633903,-1,-1,912968,-1,-1,-1,-1,-1,-1,-1,453771,826783,532631,52024,-1,822627,-1,234464,-1,-1,575166,611302,-1,546551,22314,-1,66428,747789,-1,-1,186768,565824,-1,234691,-1,682779,-1,942763,846445,-1,717920,146697,267151,503397,796429,657992,-1,847193,-1,271194,571218,914642,-1,811664,-1,459263,813834,275420,626474,-1,804856,889044,-1,927991,-1,345592,-1,-1,571529,119934,714999,836410,582162,201011,112965,66904,-1,-1,-1,540010,913097,843489,-1,-1,59417,-1,872458,-1,-1,256859,-1,125023,-1,-1,971142,-1,-1,-1,-1,-1,-1,-1,88953,818253,-1,873230,-1,559802,825683,-1,925970,922907,-1,-1,-1,385419,486752,421599,432388,-1,-1,657516,479910,-1,-1,134294,-1,414920,-1,796296,-1,-1,-1,108253,-1,892534,-1,72436,418285,612603,717812,332446,435232,-1,-1,-1,659267,912438,208486,792822,378220,-1,-1,-1,435209,-1,-1,284100,689408,-1,791397,937287,-1,565407,-1,-1,115466,182521,-1,-1,929745,-1,766628,-1,106108,-1,314527,569507,-1,-1,456585,986446,-1,547416,-1,764472,412145,160456,-1,903281,-1,-1,500784,-1,-1,346699,-1,-1,683311,-1,106718,153712,-1,79458,752771,487832,-1,762761,886938,238508,839617,-1,-1,-1,-1,-1,-1,-1,-1,741036,51150,686742,430386,-1,-1,873559,-1,661953,222393,557945,937427,611812,780448,706388,64972,-1,947459,290639,-1,-1,-1,362980,997745,456545,591612,93808,-1,-1,624942,-1,-1,749403,609914,-1,-1,365414,118132,-1,-1,-1,595485,815782,-1,-1,963901,-1,-1,-1,121787,498455,326254,-1,-1,102148,939466,-1,-1,-1,1417,-1,106937,530932,-1,404735,-1,636824,239012,33439,-1,404250,383811,-1,-1,547902,886935,-1,730706,-1,540446,260755,7500,-1,-1,48552,-1,566984,146743,948909,586878,-1,308694,-1,-1,685726,95792,584836,-1,222252,724160,308303,-1,-1,-1,-1,421373,224373,-1,-1,220755,717585,-1,758046,-1,-1,-1,602456,-1,578900,-1,-1,-1,768091,-1,866198,-1,-1,-1,-1,-1,-1,666962,-1,654335,44790,-1,12269,697915,-1,69528,-1,906800,-1,-1,116746,-1,-1,-1,-1,234516,-1,-1,-1,239962,531111,996409,-1,-1,658845,8213,616711,698494,-1,-1,680670,-1,-1,308086,506457,286138,803115,724707,-1,-1,-1,727917,-1,-1,-1,-1,532567,264024,-1,239616,-1,818938,430159,-1,-1,-1,162569,655110,350441,-1,214354,-1,-1,323332,600043,976529,656061,997879,-1,-1,389360,-1,-1,184760,-1,884772,-1,-1,557818,62929,-1,-1,998594,-1,298373,-1,-1,-1,-1,-1,301213,-1,-1,-1,340675,978343,-1,-1,-1,466947,794134,954863,-1,-1,-1,-1,-1,-1,77208,-1,-1,735785,-1,274862,-1,-1,-1,338259,-1,496768,-1,565158,-1,571327,-1,153240,-1,-1,-1,52854,768055,671757,-1,-1,649744,606267,-1,125213,617304,-1,913948,-1,124161,-1,743036,-1,-1,938847,683059,-1,121046,-1,-1,-1,-1,131277,-1,-1,68597,-1,736333,169759,-1,726898,197026,534570,-1,-1,-1,-1,-1,45867,-1,46035,476483,75824,-1,798900,859776,109646,402429,367247,834340,856344,255334,-1,-1,-1,453180,-1,-1,35604,-1,-1,-1,-1,759248,358155,785130,8884,-1,-1,889535,-1,-1,958725,-1,-1,-1,-1,747909,188679,637343,182167,42401,699365,113279,-1,192904,-1,696404,254670,-1,680756,848658,492265,-1,-1,111340,-1,-1,-1,102929,846626,178058,948183,331307,-1,485077,-1,-1,-1,-1,858454,300980,-1,-1,81251,-1,-1,701143,-1,236351,384588,-1,-1,-1,-1,-1,694443,846352,-1,-1,688680,-1,617657,-1,-1,-1,200777,-1,-1,730121,-1,210894,81318,3515,-1,-1,507424,-1,-1,-1,-1,-1,-1,-1,223906,930120,-1,429044,-1,804108,-1,-1,824577,-1,-1,-1,-1,-1,253844,-1,-1,-1,-1,-1,4247,-1,-1,-1,401170,682619,801017,-1,-1,344453,402818,-1,532905,-1,-1,-1,525547,-1,-1,-1,337819,-1,400376,-1,923606,-1,371787,262247,-1,-1,145017,250933,-1,741745,89837,-1,-1,320054,412911,182703,-1,-1,-1,587560,573119,-1,-1,-1,562456,-1,652743,925744,599680,-1,-1,113131,-1,-1,-1,697991,465810,-1,-1,-1,-1,-1,32041,354760,652829,137451,-1,-1,75579,613751,-1,-1,973833,-1,-1,-1,-1,-1,47657,869814,313911,786072,341403,-1,-1,-1,797389,906632,-1,49448,-1,-1,107176,-1,-1,296031,-1,23519,605963,-1,400981,932575,-1,548314,-1,323763,268142,-1,-1,-1,564229,-1,497400,209833,785660,453279,-1,-1,-1,-1,837613,-1,-1,-1,851500,627353,187002,274369,-1,-1,-1,-1,357796,407898,183113,474174,-1,-1,787038,472985,814575,616897,-1,-1,-1,341044,-1,293385,-1,909114,247186,-1,-1,-1,-1,615177,-1,-1,-1,895173,-1,-1,-1,188511,298581,-1,-1,965796,151692,-1,940998,-1,-1,-1,557534,850532,-1,651912,2027,968124,823401,342079,190999,-1,-1,-1,-1,122764,-1,-1,249729,-1,-1,-1,501098,800251,-1,-1,-1,-1,-1,559822,55109,749555,263336,-1,-1,-1,532891,-1,-1,773727,464655,113610,152615,-1,382748,231084,996061,379677,-1,755974,-1,-1,-1,-1,-1,-1,-1,-1,430323,-1,891704,-1,-1,341583,974622,-1,-1,-1,20371,-1,-1,-1,-1,22780,-1,284705,165191,-1,654884,320643,360905,758597,-1,-1,-1,13549,-1,-1,-1,-1,-1,588288,-1,83032,949397,-1,-1,405847,533396,-1,-1,95173,-1,616883,915878,747280,-1,-1,-1,588641,-1,-1,73687,-1,724492,375317,-1,456440,-1,260085,-1,-1,-1,-1,535722,-1,-1,-1,-1,-1,-1,99997,537516,-1,-1,-1,79,-1,260331,975583,-1,881289,-1,228926,507226,578604,-1,45506,98908,-1,361009,-1,-1,614638,-1,374905,-1,145733,-1,371887,-1,706816,290801,-1,-1,-1,945213,-1,-1,786480,936967,433300,-1,-1,720065,511030,374433,-1,89401,-1,723704,-1,208058,-1,-1,-1,-1,-1,-1,-1,-1,205449,498584,228871,175632,-1,-1,-1,-1,-1,-1,88569,-1,429559,-1,-1,265667,103551,-1,-1,627240,706950,-1,259156,913767,-1,430078,-1,-1,-1,811887,103216,-1,91938,-1,-1,896796,680594,244225,-1,875965,970375,599253,-1,-1,706830,-1,141779,-1,-1,736384,589701,96681,-1,440532,294757,-1,-1,-1,-1,-1,491941,528252,-1,723669,-1,-1,-1,477075,-1,786698,195953,640776,191130,-1,-1,235897,-1,864375,233429,-1,375022,-1,-1,-1,163115,-1,931213,-1,-1,647169,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,40004,659406,-1,192020,-1,6245,-1,49852,30478,-1,-1,472019,-1,-1,-1,368945,-1,-1,-1,454023,856053,345396,731958,-1,547120,-1,933132,-1,411728,-1,-1,815811,-1,-1,116315,-1,791364,213539,667339,-1,-1,-1,-1,165053,766208,-1,-1,655207,-1,326709,-1,700364,-1,785271,134047,-1,-1,-1,278707,354055,-1,-1,-1,-1,-1,-1,-1,961471,937027,459146,-1,-1,-1,733519,-1,-1,-1,-1,-1,277793,79437,-1,-1,-1,768965,-1,806579,-1,-1,-1,-1,160480,522230,-1,226320,-1,-1,721838,-1,13821,820775,-1,-1,-1,368595,-1,899835,204292,-1,864893,-1,466871,961670,-1,-1,-1,22776,-1,-1,-1,-1,135302,78911,449762,-1,99524,-1,439890,924101,-1,540724,941847,425212,-1,165008,-1,-1,660138,385309,-1,-1,-1,843351,-1,-1,-1,-1,447290,-1,-1,905089,-1,-1,-1,-1,-1,223471,-1,-1,823751,207207,346250,-1,200608,687122,20894,-1,68996,43576,961849,382132,59496,995458,685112,-1,-1,-1,-1,431019,414133,-1,-1,836100,-1,913998,480863,705517,-1,-1,-1,708581,39580,-1,406794,690072,131317,412203,-1,-1,-1,-1,-1,-1,-1,455152,-1,791552,362422,-1,-1,-1,-1,-1,-1,753985,775594,115745,9104,-1,-1,557550,967235,718052,411390,554424,335636,194182,-1,-1,828674,426237,94202,24812,951121,887231,485365,419578,-1,790247,138568,-1,-1,70527,-1,-1,-1,-1,-1,820815,874641,-1,-1,-1,-1,127389,-1,743657,-1,71293,-1,153959,-1,803987,272484,-1,363577,-1,933689,-1,-1,474171,214497,-1,799669,348149,-1,269996,-1,697059,-1,970464,85897,-1,-1,240370,910701,-1,594937,98676,-1,905962,-1,833213,-1,889672,-1,348572,-1,-1,-1,-1,-1,145715,-1,-1,21942,-1,-1,179511,358955,920231,-1,-1,-1,801165,-1,373655,-1,724016,-1,208864,-1,623245,-1,479040,-1,-1,-1,-1,353877,186875,-1,-1,18157,574029,-1,-1,45771,284400,895300,692162,-1,511170,-1,-1,42615,-1,-1,-1,-1,665262,-1,885553,-1,91251,25811,-1,102930,762534,-1,-1,478738,-1,131259,285314,-1,672504,915398,358717,942717,-1,-1,-1,-1,-1,891639,4127,-1,-1,265970,-1,798802,-1,-1,247870,886690,474485,-1,712153,638888,-1,267741,-1,-1,-1,551875,-1,781026,751071,237405,-1,-1,238106,-1,-1,433879,-1,-1,692276,-1,-1,319925,-1,-1,411906,-1,-1,822628,-1,761243,747839,937437,576710,514592,-1,-1,-1,354695,-1,-1,-1,402544,917306,217834,-1,-1,-1,-1,918981,-1,454308,136354,-1,-1,-1,967319,589190,-1,-1,-1,543218,-1,77870,527862,559791,911065,402040,-1,237737,404447,-1,571530,670402,703320,663629,599393,679569,791879,741588,-1,-1,894378,-1,-1,106369,-1,692023,552772,-1,-1,955645,66231,-1,-1,-1,110527,914316,-1,31718,-1,878273,48101,-1,660371,-1,95677,167243,-1,-1,-1,678108,642272,376871,754453,713381,465927,969266,-1,436692,-1,-1,658471,-1,275555,-1,728336,805795,305947,-1,764291,669951,758229,-1,686120,-1,-1,522453,-1,-1,-1,14211,-1,264993,258446,-1,-1,254940,-1,-1,-1,-1,143853,-1,844747,334781,507057,880572,-1,607051,911814,866023,-1,-1,154453,-1,289988,-1,-1,-1,213690,557834,241715,554750,605268,-1,-1,704579,779795,216557,-1,286416,788883,-1,831225,-1,-1,87504,-1,59524,404761,752748,-1,-1,-1,-1,657309,-1,171876,-1,-1,-1,706199,-1,688944,520366,44098,536884,380845,-1,652398,586718,-1,658681,355136,-1,-1,-1,-1,47875,-1,842653,-1,-1,-1,87236,-1,352753,780906,-1,773804,818077,-1,467899,-1,-1,170273,186284,-1,954718,438160,573429,206882,954188,14694,-1,-1,576180,-1,-1,-1,-1,-1,-1,-1,-1,66085,-1,-1,556640,-1,697458,-1,-1,-1,577912,-1,-1,-1,-1,879886,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,621527,-1,-1,-1,170872,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,198161,760647,951634,600793,-1,376371,-1,71266,-1,190206,-1,-1,-1,-1,950460,424799,944,-1,759912,-1,-1,-1,-1,808901,262691,59677,917492,-1,189167,-1,816860,-1,-1,-1,136769,677926,-1,483689,-1,572241,-1,-1,219689,655791,-1,53367,863858,-1,-1,-1,-1,205944,-1,-1,546702,-1,-1,558982,-1,-1,-1,574182,91908,-1,-1,-1,944487,-1,441590,-1,358266,-1,-1,231202,223137,566348,803420,-1,-1,-1,-1,707015,-1,756802,-1,-1,24097,491843,214070,-1,292408,-1,862903,762437,70564,-1,394289,859251,931418,-1,157807,-1,-1,145546,-1,911928,-1,467743,-1,-1,-1,726402,-1,-1,929595,-1,374825,-1,174893,-1,660757,-1,-1,-1,-1,561995,-1,60779,915897,402528,397566,-1,282416,474660,241041,-1,-1,830047,752058,-1,-1,-1,395752,437937,-1,-1,742473,-1,-1,689060,-1,735423,177596,89092,-1,479097,213747,381331,597177,946391,-1,248954,-1,128498,-1,952203,-1,134531,-1,-1,248358,-1,693568,-1,690328,-1,284971,-1,881921,-1,-1,556110,545390,435824,-1,-1,-1,-1,556464,-1,782266,-1,314348,711610,-1,300815,983940,-1,-1,87102,-1,411407,-1,392881,280742,-1,-1,15414,844372,-1,-1,104399,-1,902772,-1,503160,39037,262915,682957,388457,515557,-1,494440,-1,-1,966191,344434,705585,777759,-1,877405,-1,-1,-1,-1,349290,483584,62196,-1,-1,273739,553423,383285,-1,430832,-1,-1,853602,-1,386623,514550,52364,-1,-1,-1,754349,-1,370554,-1,-1,-1,-1,-1,-1,-1,272195,-1,-1,-1,-1,-1,-1,848329,180749,-1,-1,415750,318285,-1,-1,-1,602325,608762,852557,71527,148200,-1,372048,-1,-1,263362,-1,62395,268761,-1,75292,4155,-1,-1,-1,495494,843367,632875,-1,-1,488476,-1,-1,467044,682745,-1,-1,-1,705562,819956,255903,843171,423922,-1,-1,514797,407906,296101,-1,214679,315157,-1,-1,708592,385807,-1,-1,639024,352767,485142,132023,41760,284794,987481,-1,255245,-1,873916,361149,-1,-1,174120,-1,-1,-1,71847,-1,-1,-1,88530,106244,454687,603039,844447,30410,437309,-1,944582,-1,308396,-1,-1,357349,142545,-1,269337,-1,266257,-1,-1,937037,235394,-1,975404,493585,401729,808872,509817,261893,-1,-1,-1,-1,343991,-1,-1,545296,811163,249370,987964,402608,82606,253186,-1,278818,484480,784978,-1,-1,-1,-1,644771,535510,-1,-1,-1,-1,513987,-1,-1,-1,-1,-1,725931,-1,213418,206637,59852,422432,749185,848484,876216,457314,-1,980080,554362,397390,687313,-1,616794,-1,-1,872936,-1,334199,-1,-1,-1,433864,138442,510586,-1,807132,606124,-1,-1,971801,-1,-1,-1,492607,-1,830184,-1,-1,473903,-1,-1,-1,-1,-1,450970,607906,667569,17030,736990,-1,108120,854222,-1,308343,-1,-1,-1,-1,-1,-1,105971,-1,-1,-1,-1,-1,837180,686101,68765,144319,-1,-1,713584,-1,460159,369839,344300,-1,-1,751522,-1,-1,-1,-1,-1,755767,519087,806080,29077,514583,9183,-1,877768,925392,-1,-1,220642,-1,-1,-1,-1,-1,-1,750932,548372,-1,966172,310152,669340,-1,-1,216615,733208,181720,-1,-1,-1,-1,-1,926150,-1,593219,24730,765062,328107,-1,-1,884517,54185,-1,-1,-1,-1,-1,434196,-1,887422,-1,77136,332683,681695,-1,480756,918508,865888,954941,701298,-1,541041,-1,570570,898378,475981,-1,993962,-1,232810,-1,701490,-1,-1,749449,656976,973671,-1,-1,789027,46217,645339,-1,-1,-1,-1,751170,-1,-1,-1,-1,-1,438316,-1,488824,-1,-1,-1,748451,122298,-1,151598,74904,380053,-1,374243,158510,-1,-1,277049,276640,-1,-1,-1,77691,781137,667049,-1,-1,-1,-1,-1,-1,-1,-1,582846,75761,218819,255572,-1,-1,988410,460402,-1,-1,353525,-1,266025,593988,90587,83666,-1,-1,822851,-1,465227,-1,347778,-1,149853,-1,743651,109122,845299,820247,-1,-1,-1,777857,-1,242092,-1,-1,-1,780276,571214,-1,205326,855969,-1,469054,924635,440265,-1,449780,-1,-1,195690,-1,418348,-1,182757,-1,-1,-1,886683,986443,592109,288754,994622,-1,631157,778573,-1,358913,975369,234932,67535,-1,950362,-1,-1,626832,888463,-1,550518,739398,-1,256152,807547,108005,-1,952381,-1,-1,-1,653503,-1,-1,75350,619800,-1,-1,-1,-1,-1,54942,584949,-1,-1,347950,428803,959556,486020,58220,463933,-1,11560,1962,307368,-1,492438,-1,-1,-1,-1,-1,846343,-1,225697,-1,408239,-1,-1,-1,-1,-1,-1,-1,635599,-1,-1,-1,984673,-1,-1,-1,-1,-1,-1,715267,-1,327158,-1,490312,-1,-1,783825,623898,-1,-1,-1,-1,682928,-1,-1,-1,-1,-1,-1,592013,-1,-1,-1,640594,268353,103190,165635,-1,-1,345816,-1,3779,-1,225002,858086,-1,285724,473041,-1,895146,-1,-1,-1,-1,470625,535664,580064,-1,745723,-1,486439,456074,-1,955339,-1,651880,-1,-1,-1,-1,-1,795577,311962,253424,-1,941731,198072,-1,703081,-1,-1,-1,502375,398223,-1,-1,130585,72951,619401,377922,827026,-1,-1,-1,-1,-1,-1,947385,9519,761938,110167,355712,243586,-1,-1,-1,357146,-1,-1,203558,-1,-1,-1,-1,162259,175631,76967,743931,569169,-1,-1,-1,-1,260536,-1,707033,443194,667306,-1,644252,295791,654096,-1,-1,318230,-1,-1,-1,-1,-1,177515,-1,972110,-1,60942,-1,-1,74389,455981,-1,414026,77002,-1,-1,-1,225320,569217,465305,-1,-1,268385,284376,-1,-1,-1,-1,-1,258351,-1,683749,148462,929202,58322,-1,-1,-1,323365,-1,888945,-1,-1,-1,819592,-1,447222,426856,441722,81150,780524,869511,678113,595763,-1,97236,-1,-1,975136,-1,534629,-1,929680,502152,-1,883257,49672,-1,879366,474942,127266,-1,-1,-1,-1,904108,-1,-1,542087,411696,352377,699109,335535,251430,822675,320273,-1,330694,517251,694517,-1,-1,-1,647103,570014,312836,183734,-1,-1,-1,-1,640078,373246,-1,947420,129469,-1,-1,-1,-1,-1,379162,328405,-1,24883,-1,-1,400270,487124,-1,642290,-1,-1,-1,755057,575262,203834,678294,440631,381784,-1,-1,-1,-1,470736,735911,761453,-1,655977,-1,399384,-1,-1,302358,-1,444417,-1,-1,-1,573306,-1,-1,-1,332122,334304,888865,217144,-1,-1,508754,-1,-1,-1,133038,589738,470988,559963,849807,-1,-1,412431,292207,-1,771665,-1,-1,-1,686232,-1,482241,-1,-1,-1,54656,-1,-1,-1,-1,700976,425595,13712,880657,637407,738982,-1,-1,231777,407219,-1,727873,155415,944379,-1,-1,-1,-1,-1,254880,-1,-1,-1,-1,-1,277635,-1,717365,-1,609346,859284,-1,-1,-1,737025,919391,-1,-1,-1,-1,-1,115858,642698,143083,-1,-1,256865,228895,939033,-1,10246,452103,19484,400315,541905,605853,781392,-1,17617,-1,865425,-1,446935,276475,745251,813746,-1,-1,-1,866726,-1,132049,-1,893752,-1,-1,41839,290198,-1,22101,689830,42990,544369,41702,-1,-1,-1,-1,-1,-1,-1,732873,992484,484477,-1,403769,589637,145494,91596,-1,-1,-1,252929,191324,406013,-1,860676,629015,589410,-1,-1,-1,208810,-1,915479,275043,941033,326042,345720,-1,655556,911982,970827,22267,613572,785295,-1,-1,458282,-1,58635,54160,-1,-1,134736,-1,167950,-1,-1,606471,527444,-1,865372,-1,-1,-1,479272,-1,-1,-1,-1,-1,270326,532648,34706,-1,936143,97783,-1,-1,733056,286793,-1,823989,660080,-1,-1,596298,913549,9242,-1,-1,-1,-1,-1,670410,-1,207322,418542,-1,-1,594034,842704,-1,435770,12436,715116,-1,-1,-1,-1,993417,505304,550146,407550,86118,343592,-1,-1,878634,-1,-1,-1,433322,294580,482581,-1,-1,-1,270830,-1,561376,589196,597916,-1,432003,-1,574912,598452,-1,-1,-1,607882,-1,-1,-1,-1,-1,756682,-1,548350,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,718286,754354,322862,83008,-1,257394,-1,722983,321412,314762,-1,-1,266901,-1,-1,800417,214830,-1,750844,-1,854889,-1,721557,-1,-1,902778,-1,-1,810922,578012,-1,896418,-1,602914,953256,260335,-1,-1,-1,-1,-1,648589,-1,-1,-1,639698,-1,-1,-1,-1,621343,183320,231736,555815,244052,-1,-1,-1,713956,315279,310769,-1,501374,614965,-1,-1,233366,10386,-1,394839,349155,-1,816377,-1,-1,391216,798585,-1,-1,-1,464347,-1,-1,434725,626523,-1,-1,786018,408324,-1,-1,-1,-1,93834,-1,987873,-1,-1,-1,749505,-1,791185,-1,882012,730821,-1,786147,474075,-1,871836,134095,-1,-1,171732,-1,-1,-1,115118,-1,700376,-1,-1,-1,303876,-1,973579,540528,-1,866409,184044,-1,719719,834680,-1,301112,929089,507196,379408,-1,-1,132802,-1,-1,562634,-1,-1,58340,-1,-1,809278,642292,125538,808825,-1,-1,283852,137509,-1,840734,-1,-1,412844,-1,795358,141922,-1,199444,-1,-1,496660,442949,-1,257276,981386,-1,341263,-1,-1,389086,92773,362718,637740,-1,-1,954805,-1,350649,228730,356362,-1,818825,253850,300858,163595,424395,852877,-1,-1,633268,596237,-1,-1,-1,-1,564607,-1,-1,450125,-1,-1,544021,86171,692256,976968,-1,90143,937798,-1,-1,693559,219229,-1,790692,-1,26737,688639,-1,965567,-1,-1,561813,153913,413377,9206,-1,-1,639486,-1,348669,605964,9669,-1,499584,591731,-1,-1,-1,302938,-1,-1,118576,-1,361977,296969,-1,-1,-1,-1,558530,53824,733021,577910,-1,487744,-1,-1,620133,746072,888341,324779,-1,-1,-1,994543,-1,-1,455087,-1,-1,217258,893501,359972,-1,232714,-1,-1,222745,963362,734552,-1,910649,-1,121914,-1,-1,-1,108162,90682,29288,501441,-1,32511,-1,-1,-1,811750,-1,-1,-1,289137,343739,388406,254138,266446,236758,-1,-1,123107,-1,-1,-1,-1,-1,-1,188814,910191,414423,-1,347001,-1,-1,-1,-1,-1,-1,-1,-1,-1,437486,646340,487956,-1,324449,678192,390849,455625,-1,92566,967390,-1,-1,-1,-1,800543,-1,879992,-1,189342,-1,471926,-1,-1,-1,91359,890012,-1,-1,383476,260286,456062,-1,263185,762606,-1,-1,-1,-1,-1,-1,-1,-1,-1,393342,-1,-1,787083,278227,258027,648400,-1,867604,897578,528935,564157,-1,186671,749522,476397,273729,81269,-1,779321,398749,-1,947269,-1,-1,-1,875479,103578,790238,-1,-1,-1,-1,488685,48902,934251,-1,444075,282365,629203,152166,-1,905510,796133,-1,-1,265125,136818,447569,-1,932248,-1,-1,678723,-1,-1,914440,704667,-1,-1,988326,598888,931810,-1,-1,669051,-1,923928,941214,-1,311950,892999,540226,225020,860059,-1,534850,-1,803095,859396,-1,717590,-1,477411,-1,114337,700790,897936,767792,-1,530977,982941,-1,29090,-1,-1,-1,268035,477157,-1,-1,-1,120826,952149,-1,939036,41166,-1,-1,411643,239123,-1,-1,407259,198745,-1,-1,-1,-1,-1,189080,-1,-1,743114,968854,126130,-1,91259,-1,138692,-1,433211,-1,376114,-1,599378,224946,-1,-1,-1,-1,-1,631383,440668,631962,-1,518144,935206,-1,427092,-1,144989,25439,-1,54022,-1,-1,931162,315190,129157,375957,-1,-1,689035,-1,-1,-1,239542,-1,-1,896635,-1,-1,615655,-1,-1,319754,-1,-1,852019,-1,-1,-1,451790,-1,-1,622208,646776,577230,-1,-1,-1,-1,547446,221584,-1,458582,466301,-1,-1,240340,463164,643868,-1,68767,100649,478541,121233,793875,176989,220361,-1,-1,-1,804037,-1,798420,-1,87997,655884,-1,-1,915854,-1,-1,802427,863604,-1,-1,-1,-1,501313,-1,-1,597192,-1,920298,39081,476859,107263,194149,556433,186421,-1,765886,-1,-1,896146,295113,-1,692305,661328,-1,155221,-1,951376,788825,-1,-1,819260,435302,893498,745649,720379,752315,-1,-1,730427,201640,-1,771712,167117,323725,-1,196345,-1,78276,-1,353153,-1,221396,-1,-1,783044,409617,843519,-1,-1,380793,336151,-1,351125,328332,138079,839897,981744,168012,-1,70296,112938,974287,922620,923247,542501,939654,310941,-1,-1,-1,611581,652049,-1,851044,337527,-1,435842,405957,419517,472336,-1,-1,-1,-1,5846,-1,-1,747889,726710,560898,-1,7761,-1,712298,527346,13496,372964,283669,-1,-1,-1,941594,315747,633077,-1,-1,-1,-1,720330,701430,127354,-1,575999,-1,113848,-1,-1,18034,-1,-1,30498,-1,391982,740707,-1,328224,-1,54043,704664,-1,816342,-1,-1,701283,802644,-1,89744,427800,-1,63792,236390,-1,830191,339586,638382,-1,-1,381053,-1,190228,494689,974838,-1,556436,536992,-1,625782,-1,-1,-1,599408,-1,249265,590029,-1,-1,895962,-1,165764,342937,37098,-1,192940,443899,-1,-1,895056,-1,406893,991647,-1,700288,-1,-1,884408,526640,-1,661107,193250,554893,-1,411251,582449,445063,-1,837805,853141,822118,-1,-1,888646,-1,-1,757745,497570,-1,478438,238321,252326,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,16908,251157,-1,-1,-1,634633,-1,664626,-1,712929,187511,117374,618180,851537,227245,-1,455189,522901,997193,842915,792213,140810,219435,-1,-1,-1,-1,-1,95649,594239,-1,-1,831415,172708,-1,396065,180086,303553,-1,540298,-1,-1,-1,394398,-1,-1,-1,-1,707288,38303,-1,234829,-1,734655,651299,-1,654869,-1,-1,19933,-1,-1,266002,80424,457968,988520,-1,-1,553416,-1,145863,-1,871356,424682,112654,-1,56542,-1,-1,72295,-1,-1,751212,381324,653359,596324,749303,881375,235943,-1,-1,268063,-1,-1,231920,-1,934411,-1,-1,153174,-1,-1,-1,955423,-1,-1,42812,542732,164818,194952,-1,77422,-1,722911,-1,-1,-1,-1,-1,-1,-1,258627,-1,871131,83058,63953,517241,76938,-1,-1,794205,24902,-1,-1,403696,893144,-1,364979,13570,632554,-1,208935,636365,-1,539258,-1,-1,368345,-1,699562,349864,87386,61947,-1,-1,-1,-1,-1,-1,187323,-1,830087,-1,630807,-1,212289,-1,354477,889610,-1,-1,-1,-1,-1,-1,678337,95868,738971,703613,155675,-1,241580,-1,-1,650615,132365,-1,284964,348609,-1,875073,253809,975943,815513,-1,496544,-1,38548,995814,550456,-1,-1,-1,838622,72574,-1,60511,-1,-1,340993,703681,524804,-1,261662,-1,-1,9556,-1,468782,-1,377215,-1,-1,174424,838831,919534,263024,86765,-1,298946,-1,786106,224209,-1,447623,-1,-1,-1,-1,743314,169446,360648,177683,-1,111290,-1,623107,-1,325746,691784,-1,-1,867859,55952,-1,450527,-1,-1,654834,-1,871661,852330,-1,551894,236576,497977,-1,827522,-1,925349,835056,-1,-1,-1,938588,574293,779421,469428,-1,-1,-1,270325,-1,-1,-1,464804,-1,-1,491004,163085,276580,705230,840911,129467,-1,-1,-1,-1,-1,-1,-1,-1,674033,-1,949264,-1,-1,518011,-1,-1,720523,681036,510836,456926,237833,-1,-1,490822,379791,-1,-1,-1,-1,975812,-1,716513,-1,-1,771990,-1,26738,-1,-1,271374,-1,510542,-1,-1,748130,749706,-1,-1,398494,-1,-1,-1,752591,684489,-1,845700,-1,-1,-1,722203,465837,-1,-1,-1,753408,-1,345300,-1,195476,-1,-1,216400,393533,940474,-1,464078,-1,-1,-1,-1,726202,798268,889809,-1,-1,287943,-1,898009,975545,-1,799122,955571,-1,302208,17545,-1,559542,-1,-1,184138,16806,-1,412142,363634,250461,301156,-1,361210,-1,-1,-1,532442,-1,-1,-1,890130,-1,-1,122029,816307,-1,-1,847860,-1,621336,-1,647040,-1,396545,-1,-1,919210,-1,-1,661152,424752,314445,479299,376708,-1,-1,357147,-1,841528,-1,-1,-1,598542,-1,-1,-1,-1,-1,254843,-1,568277,343602,-1,-1,-1,737557,-1,722046,-1,835059,881010,-1,244173,240915,623310,98328,936518,904338,14481,653098,70974,593406,-1,-1,953948,-1,610001,-1,601744,764361,-1,-1,927437,-1,173160,-1,702641,418651,241382,-1,944225,477726,498898,-1,496766,784371,-1,-1,518154,245903,827789,593067,148131,985593,-1,730418,387335,-1,-1,-1,-1,-1,-1,623803,-1,-1,-1,27108,490694,-1,488843,-1,-1,68780,-1,-1,-1,235531,-1,790975,-1,-1,402727,-1,-1,-1,721522,-1,-1,-1,766667,-1,-1,-1,129212,-1,-1,-1,-1,-1,398617,621717,-1,-1,-1,169285,-1,-1,704428,-1,-1,-1,479929,713592,-1,-1,986616,-1,493784,539320,-1,-1,-1,-1,-1,-1,288803,514851,-1,-1,546763,791343,-1,491230,-1,-1,-1,843250,745480,-1,710805,276575,397504,476658,768498,-1,-1,-1,779405,-1,-1,-1,978119,647491,368550,218918,-1,796019,-1,706474,-1,376478,-1,-1,908683,-1,372636,-1,-1,-1,-1,-1,251350,-1,-1,575257,-1,123448,-1,523896,-1,-1,656005,-1,616798,-1,-1,344488,62384,-1,-1,-1,-1,-1,597975,398965,871013,-1,526695,898614,128904,196131,-1,-1,668994,405400,-1,-1,-1,-1,-1,-1,66679,-1,-1,416067,-1,-1,-1,-1,125168,-1,464436,-1,-1,34759,-1,40532,-1,495589,235578,473752,-1,301974,-1,-1,-1,-1,-1,906756,-1,-1,-1,-1,412532,-1,526598,89386,211605,986826,913297,492734,-1,565735,-1,-1,-1,-1,104553,-1,-1,-1,399289,-1,999881,-1,893986,208712,677165,-1,-1,-1,-1,760459,-1,240130,973783,-1,-1,126036,292827,-1,-1,320876,189056,-1,-1,33,-1,969153,983959,-1,8031,-1,814875,179068,609276,-1,-1,969108,-1,-1,-1,-1,968962,-1,287582,-1,-1,117743,-1,112775,-1,88492,595937,-1,-1,-1,-1,359598,896205,369932,-1,875251,-1,-1,-1,403741,-1,531592,-1,519802,920490,-1,654085,863954,-1,-1,572547,-1,506686,-1,624830,553874,-1,-1,16233,981537,-1,-1,-1,848089,-1,-1,-1,272086,-1,-1,316281,-1,252,5765,-1,211725,-1,362608,-1,727156,962418,-1,-1,101058,-1,-1,-1,607403,761388,642087,866177,-1,455745,-1,-1,905420,812034,567370,645123,315984,-1,-1,882612,69519,321537,-1,526843,852636,752881,831047,337126,269891,-1,294861,-1,411022,422404,748438,429631,34709,-1,-1,-1,11719,706223,86357,616392,-1,56055,155609,282732,-1,-1,696020,247910,-1,723791,-1,-1,21890,94102,-1,311901,448820,470576,602094,51340,705034,-1,-1,-1,-1,-1,114873,-1,-1,12168,305700,-1,204858,-1,-1,586446,-1,-1,868655,1466,595989,847703,-1,-1,-1,-1,246408,324589,-1,-1,78552,-1,238536,-1,809303,-1,437667,-1,-1,11935,264428,950080,-1,936342,996885,-1,-1,785265,-1,-1,588868,-1,-1,792359,279264,676878,-1,989556,53364,-1,-1,-1,-1,-1,311920,-1,244457,503254,-1,99289,-1,669975,-1,-1,64040,990547,948925,-1,-1,634718,-1,304905,503823,201977,-1,850554,389736,-1,711793,-1,517338,899538,-1,-1,176053,-1,-1,-1,-1,-1,-1,346718,-1,736409,855458,609230,-1,480439,626067,137521,645554,-1,490777,-1,-1,-1,-1,357411,15559,-1,-1,917742,-1,805399,252026,518830,-1,564391,629955,-1,707635,-1,496913,-1,-1,-1,-1,810420,536998,-1,-1,228836,-1,508098,-1,-1,-1,956297,-1,484304,-1,-1,-1,-1,175074,56847,859671,201431,803265,-1,925847,119817,122578,71319,619162,-1,23350,-1,-1,103735,592189,-1,-1,-1,101646,-1,488780,24145,-1,-1,981053,-1,-1,356922,-1,575791,-1,-1,859559,418087,-1,-1,-1,536846,-1,-1,-1,-1,600237,-1,-1,888893,94650,-1,635777,575991,877644,449406,-1,-1,848517,-1,509150,329909,-1,-1,-1,-1,-1,-1,806459,-1,118071,739803,905677,-1,-1,385537,-1,-1,97182,-1,643080,-1,759202,413335,117820,-1,-1,-1,-1,-1,-1,-1,303883,-1,-1,-1,-1,619498,-1,604705,-1,-1,525984,687422,-1,-1,-1,-1,970640,-1,313558,562324,-1,-1,-1,667273,-1,-1,178250,-1,-1,-1,-1,-1,537022,281787,-1,921056,623630,985107,35926,58830,-1,-1,146156,25008,101480,602167,685733,-1,-1,-1,483115,-1,-1,-1,631953,-1,320459,821940,903894,149255,480710,-1,711010,-1,-1,-1,-1,232844,-1,270419,313679,541926,96947,693424,-1,-1,-1,767521,-1,577764,945718,-1,726177,-1,-1,-1,332983,734586,-1,627899,501852,-1,643807,-1,-1,762312,-1,252372,-1,766550,31703,425548,-1,-1,-1,-1,-1,131888,-1,-1,624132,213296,406784,-1,-1,-1,-1,731532,337207,-1,938225,-1,336880,168710,900436,-1,432321,-1,-1,-1,-1,-1,-1,-1,-1,-1,293751,428175,-1,-1,-1,-1,74156,-1,-1,-1,-1,451053,-1,132230,-1,-1,924059,-1,-1,721503,-1,-1,-1,-1,-1,47033,-1,757252,-1,249832,-1,870107,-1,-1,-1,-1,852287,251614,790426,-1,-1,-1,448504,-1,17072,-1,-1,861310,-1,644435,-1,-1,-1,-1,572067,954338,-1,843092,9112,-1,-1,30097,-1,882803,552275,-1,-1,-1,-1,784714,399867,-1,-1,-1,-1,-1,-1,-1,-1,350628,-1,714219,-1,-1,630296,-1,902226,440421,690583,-1,-1,-1,248614,20843,121228,623990,-1,324840,-1,485767,-1,356511,43120,-1,-1,224933,-1,-1,-1,-1,300627,-1,-1,925615,761432,228471,-1,898798,-1,894097,-1,930129,-1,809325,-1,-1,394135,-1,-1,-1,774092,760996,-1,733112,-1,488283,239213,-1,708507,-1,-1,-1,-1,987106,61473,622384,498166,-1,419306,873134,839670,127715,473081,-1,-1,485454,-1,-1,368559,271640,514449,-1,-1,-1,-1,348988,-1,125812,10956,-1,-1,123238,691030,-1,46160,155122,-1,977313,-1,-1,-1,-1,620216,-1,194030,762016,-1,-1,-1,453333,-1,327658,379956,-1,520080,-1,198794,431742,617134,531398,-1,-1,960874,-1,616843,-1,-1,125050,-1,72496,-1,-1,240671,570865,723283,-1,-1,-1,-1,-1,472541,208400,-1,-1,-1,-1,-1,491848,-1,780757,-1,-1,-1,-1,369747,-1,11249,-1,528570,-1,-1,310986,-1,534623,152067,301467,-1,112336,-1,-1,-1,121165,-1,-1,214032,319406,-1,711369,568587,124345,-1,620726,-1,696622,755703,-1,-1,-1,146431,-1,505306,327689,863255,193339,658722,754452,-1,-1,-1,932039,916798,897172,-1,-1,544701,-1,896682,-1,-1,996364,936261,454521,-1,991352,-1,433260,-1,-1,418044,351265,-1,423161,630117,458131,-1,-1,94656,427216,161879,819332,773817,486987,770798,-1,862374,-1,-1,816646,-1,279198,257116,3018,823587,16560,-1,-1,-1,597507,482185,-1,-1,-1,-1,242853,158459,-1,386469,-1,820320,-1,38309,268474,656321,40356,-1,505040,68811,-1,-1,13652,-1,372684,155186,-1,886231,-1,-1,104933,-1,-1,316771,197699,993014,-1,-1,529298,-1,-1,-1,603063,635950,719437,80687,-1,-1,376838,422487,347595,277198,53448,-1,-1,-1,-1,442537,227320,-1,-1,696884,138154,744163,113111,-1,-1,722844,-1,-1,467993,-1,466924,-1,-1,663401,715193,-1,-1,793346,499391,453001,-1,541794,145961,714603,83789,-1,-1,-1,-1,-1,-1,956157,-1,-1,34523,946676,345234,924550,585584,-1,-1,-1,143397,-1,-1,-1,-1,-1,-1,961768,798868,-1,994549,352506,913413,147695,-1,646270,-1,-1,-1,-1,184529,-1,733273,-1,-1,656417,-1,298694,31340,433497,-1,336923,-1,356374,459390,-1,-1,140169,222766,890781,185094,270611,270584,-1,762400,2995,-1,-1,-1,-1,274301,-1,-1,-1,421576,805377,589185,678161,64299,958833,-1,168243,-1,922885,110434,-1,184849,-1,-1,-1,245458,255309,921581,-1,124312,841990,-1,837546,610090,-1,560874,990857,-1,260258,801522,11849,313724,945173,-1,363879,-1,-1,-1,-1,961275,-1,78515,-1,95066,295169,313461,-1,-1,76593,-1,406872,-1,812159,107542,-1,-1,383380,683704,705629,-1,945497,-1,829378,-1,885639,369597,723969,-1,-1,-1,567881,897541,-1,-1,229392,-1,512297,224047,777710,-1,750067,543749,246878,-1,916532,-1,914217,-1,-1,-1,-1,157718,-1,-1,328852,-1,569032,110332,-1,-1,781283,28074,710266,-1,277547,101614,-1,-1,63806,347529,159777,-1,-1,-1,-1,212789,-1,584209,647474,-1,613752,664178,-1,-1,707332,-1,956215,-1,-1,691672,-1,-1,-1,988214,-1,-1,381930,-1,118579,-1,175903,-1,257903,-1,689906,-1,473589,6137,867181,908896,-1,-1,665460,-1,70654,113822,555602,139237,-1,321602,-1,922111,687359,-1,63625,760561,7637,289157,-1,-1,-1,-1,-1,399522,-1,-1,614919,228291,582545,679173,-1,-1,-1,921291,-1,679745,312822,733634,-1,211806,-1,346429,245329,755190,680629,260184,-1,-1,781358,-1,890614,727949,94284,-1,627951,-1,-1,-1,-1,-1,-1,569117,-1,-1,775380,-1,346007,417916,-1,937731,-1,17657,-1,-1,548109,-1,72313,-1,270375,-1,899483,-1,736058,435068,-1,-1,536541,814321,-1,-1,-1,-1,-1,-1,498410,-1,-1,-1,888794,-1,96825,-1,-1,602151,515126,-1,-1,554516,981716,-1,-1,558906,-1,-1,547641,848596,198975,-1,414587,-1,440622,-1,-1,-1,554391,-1,965649,-1,-1,-1,319606,-1,116431,195660,-1,623175,-1,-1,-1,-1,-1,-1,-1,53789,-1,576183,-1,-1,676681,363537,-1,551097,-1,39740,-1,984084,-1,41500,949593,-1,535048,-1,-1,351645,-1,479599,-1,-1,505257,-1,-1,207586,-1,61706,-1,-1,521117,35558,-1,293428,873156,-1,-1,-1,-1,673230,-1,-1,-1,-1,-1,851176,409336,-1,-1,-1,455463,144613,289957,107739,-1,773715,-1,-1,231356,557155,40408,553878,118855,-1,461691,-1,-1,-1,493181,217126,199055,749252,-1,-1,-1,-1,-1,-1,50548,835227,-1,234378,238290,-1,-1,-1,626357,29040,-1,-1,901850,691700,-1,615175,3022,807314,-1,-1,446122,738123,-1,694083,399189,638702,718423,-1,-1,426161,-1,649221,-1,-1,-1,-1,-1,-1,121154,145636,-1,-1,-1,351758,-1,-1,-1,-1,-1,-1,-1,-1,913258,158554,-1,991092,493795,112097,463487,112435,-1,37920,-1,594748,505657,827228,-1,32255,-1,26888,792513,-1,134398,-1,255002,-1,781787,-1,-1,-1,752560,-1,-1,946271,150409,999625,-1,-1,313502,-1,301919,-1,316899,-1,283800,235270,134222,152206,974394,-1,-1,407452,-1,-1,510596,527152,194156,826464,-1,-1,-1,-1,-1,-1,830731,-1,-1,160850,-1,-1,698517,469417,-1,-1,-1,706116,-1,808997,649876,-1,-1,-1,239156,-1,-1,-1,-1,-1,-1,230873,83207,383729,832392,243986,697724,68166,44791,-1,-1,-1,544078,137981,-1,-1,982329,151736,42586,-1,-1,-1,-1,265476,-1,303645,506397,-1,611352,-1,482549,758947,897632,736675,-1,866744,510623,-1,674536,-1,741079,-1,289485,379533,-1,-1,427313,-1,-1,-1,825321,-1,948421,-1,-1,421750,-1,-1,-1,686627,-1,-1,835665,716674,81918,349659,83167,132346,-1,42433,-1,-1,-1,-1,-1,330049,576401,-1,581905,528736,-1,-1,-1,84021,-1,928423,596941,-1,-1,-1,120430,469761,-1,-1,91824,-1,783008,978843,-1,358810,-1,-1,-1,-1,-1,-1,473293,-1,962487,-1,-1,-1,971433,215666,-1,-1,-1,-1,114084,-1,-1,-1,-1,-1,294073,-1,849039,559133,-1,-1,944251,-1,707103,877656,-1,189524,-1,-1,929138,-1,-1,484958,-1,-1,225014,-1,-1,125567,885648,679655,-1,-1,-1,-1,-1,133400,914720,156943,826760,-1,-1,886813,-1,-1,813865,-1,-1,644758,-1,-1,674690,595052,-1,503143,-1,-1,-1,730820,72448,705840,259701,600506,-1,431474,378828,258678,-1,-1,-1,577079,-1,-1,-1,983410,-1,-1,38119,7865,-1,352714,-1,-1,-1,-1,-1,-1,-1,567473,-1,88246,41144,713099,41463,-1,349395,827881,-1,967760,743731,106033,999407,283595,-1,-1,-1,772267,-1,-1,-1,-1,-1,357334,-1,206315,-1,-1,595313,286103,-1,41150,-1,-1,-1,-1,-1,447698,-1,352430,985666,-1,482239,-1,-1,-1,-1,-1,-1,-1,574309,-1,323071,511248,734022,-1,592643,-1,978876,762320,916641,-1,-1,142405,-1,-1,-1,905703,-1,-1,779550,810730,-1,117416,-1,-1,471002,-1,677876,-1,83187,-1,567690,-1,820492,-1,-1,-1,267105,-1,-1,-1,-1,-1,-1,-1,850147,-1,223021,-1,582594,-1,-1,715866,889244,516290,360206,-1,-1,657763,-1,-1,-1,817936,25990,924862,-1,48782,913112,256636,555334,576677,863040,-1,548635,917977,171977,372065,-1,85573,409222,553618,176593,-1,-1,-1,-1,-1,-1,187949,-1,-1,-1,-1,418796,140123,383839,-1,-1,-1,878976,51820,-1,-1,728644,74592,-1,811830,-1,-1,337356,-1,-1,-1,-1,909543,712936,219514,131432,-1,-1,-1,-1,-1,-1,496206,-1,-1,-1,-1,150632,322941,913085,-1,600257,-1,-1,-1,236696,-1,-1,-1,931865,366149,685071,571402,-1,256820,-1,369727,371660,-1,-1,337094,642499,-1,-1,836237,-1,181324,236079,-1,353738,585684,47006,866612,975107,865698,282410,-1,-1,-1,-1,-1,824950,-1,440939,958366,-1,-1,-1,162442,638905,-1,252537,-1,734630,558914,-1,587192,419791,-1,668782,638282,25367,-1,100565,134945,744718,-1,-1,-1,75949,849670,-1,-1,-1,-1,735245,-1,-1,504886,320898,871717,-1,-1,959487,-1,-1,370936,-1,-1,-1,-1,309394,115095,-1,-1,-1,-1,476460,-1,-1,-1,-1,-1,664526,-1,236375,339143,-1,-1,284468,-1,494627,32977,649246,309069,-1,482648,-1,-1,419687,-1,885972,513322,813704,-1,-1,-1,-1,-1,75936,248260,-1,-1,-1,-1,-1,-1,553228,641346,-1,843291,-1,39073,144397,464864,-1,-1,-1,-1,7876,-1,-1,488444,-1,-1,-1,337131,-1,-1,-1,190279,98579,-1,775099,-1,457991,-1,-1,735686,-1,-1,88062,-1,-1,225000,-1,397172,-1,-1,140047,-1,626451,784604,-1,460463,213486,368576,-1,538384,-1,776010,194385,151991,574247,-1,-1,909011,774350,692754,233100,378461,-1,73476,-1,205815,508055,259624,-1,-1,848193,-1,532193,49725,370632,725615,761228,-1,293541,-1,76258,-1,693267,575025,418164,-1,927486,-1,293573,-1,364035,-1,719576,-1,780520,-1,-1,321596,-1,-1,-1,-1,-1,796334,-1,75777,243921,-1,869782,-1,-1,539556,513749,969441,60726,85284,-1,637223,-1,814723,411717,-1,168273,-1,-1,-1,-1,-1,657278,-1,-1,318501,46872,208196,344120,-1,-1,-1,571780,473950,731788,871576,-1,388158,-1,775160,-1,-1,-1,27357,-1,-1,79583,609716,540907,691632,-1,-1,-1,307559,20858,-1,396518,-1,-1,-1,311909,571966,-1,415377,82314,965308,-1,-1,815053,-1,-1,-1,43756,-1,-1,-1,554068,-1,-1,-1,-1,-1,799211,998966,845519,163470,371628,982157,68473,-1,977728,103249,-1,713713,-1,-1,-1,191676,141998,847825,382873,964979,537769,518737,436110,-1,-1,-1,-1,-1,-1,749764,223789,-1,-1,-1,308752,-1,-1,770661,146883,155342,666330,340244,251133,484744,-1,449996,76371,-1,713293,48714,-1,84578,-1,412128,-1,-1,-1,-1,823787,708430,-1,885986,-1,714329,-1,341228,923034,702318,310684,793051,462425,838650,-1,500204,-1,-1,856008,-1,-1,-1,-1,224115,-1,-1,771360,-1,416843,910929,-1,529377,553391,892125,747275,176146,-1,855658,967851,-1,527442,938364,460164,-1,220118,-1,-1,891166,776333,-1,137839,-1,146691,820910,894689,-1,513128,-1,-1,-1,-1,886179,-1,-1,586735,384365,-1,642197,874740,-1,370120,755387,-1,-1,335736,-1,970429,-1,384890,-1,610148,-1,459260,-1,-1,-1,859789,896298,437344,358527,-1,571403,-1,416864,-1,487746,522445,899502,250572,331571,-1,-1,760423,-1,925256,-1,524558,667749,-1,-1,-1,895652,-1,-1,-1,-1,563237,875600,235719,272055,757919,-1,-1,209783,-1,-1,251091,610859,634676,459391,-1,176188,688729,287706,994744,625653,-1,784524,942799,-1,103396,-1,28834,-1,-1,116008,-1,-1,726766,-1,-1,879137,-1,164534,324010,151062,844817,-1,566788,-1,-1,230926,-1,-1,235955,-1,625085,974631,647392,435886,587607,20641,-1,-1,-1,113115,923147,-1,-1,518698,205348,717568,887963,-1,122710,-1,-1,-1,-1,371375,771934,-1,789221,487391,736477,458296,-1,-1,-1,-1,974636,-1,430986,-1,-1,-1,130203,-1,-1,-1,452261,436185,717570,-1,-1,-1,-1,-1,-1,480015,-1,-1,-1,638260,-1,-1,551798,924484,-1,-1,220063,744786,427948,337799,596836,-1,913418,-1,730393,464390,-1,448323,-1,-1,-1,40300,59269,-1,444936,617878,-1,-1,352787,310242,843913,-1,-1,-1,60061,73615,-1,987425,903765,-1,603984,-1,315912,56860,805951,-1,-1,-1,-1,-1,481002,-1,536226,-1,638560,529444,759457,-1,48383,-1,51272,87228,648650,697174,60911,50569,-1,333501,837967,708765,629615,-1,-1,321660,-1,630107,-1,-1,-1,80783,-1,368005,-1,-1,429354,-1,-1,-1,-1,-1,433931,420768,-1,970772,577010,517336,-1,757654,-1,210569,-1,-1,14195,-1,-1,-1,-1,346032,-1,796504,619547,179002,-1,-1,-1,783229,-1,969463,946973,-1,886018,-1,136393,62610,171746,772714,163201,-1,-1,703246,-1,-1,117877,-1,940736,963897,-1,-1,181670,-1,958565,451309,104022,281025,-1,665238,-1,-1,-1,-1,395326,-1,779454,154938,709068,184945,906601,577458,-1,312118,883194,811413,-1,-1,314094,257119,342125,599532,296779,122015,-1,-1,341698,258052,-1,-1,780784,-1,-1,-1,996757,-1,37193,-1,391115,255003,950492,440047,403833,-1,562828,-1,333563,112741,-1,-1,411466,715229,738414,819932,-1,644566,-1,-1,152659,114142,838002,574096,507208,874386,-1,198950,-1,-1,-1,-1,15511,543554,-1,734635,-1,493036,382429,-1,-1,543067,190882,-1,233413,-1,-1,-1,-1,112900,-1,257058,209206,920577,420853,495296,993897,-1,-1,-1,-1,-1,502104,795284,776109,498831,-1,-1,249167,939547,-1,410920,796601,-1,-1,305358,28331,-1,-1,786511,366505,45188,-1,-1,746934,423200,-1,596113,830791,-1,532686,-1,624906,-1,748424,317270,-1,-1,759759,-1,780575,313806,-1,815501,-1,476091,693370,914362,-1,562669,-1,-1,706616,-1,-1,354716,-1,-1,482728,181778,9207,-1,-1,-1,-1,963107,668746,539713,278489,-1,-1,-1,791448,-1,306688,936437,976522,85061,169513,661896,733095,750646,-1,-1,-1,872379,702120,32939,-1,403551,618954,138073,714746,-1,-1,-1,209146,-1,844109,-1,491924,-1,-1,569643,-1,886842,175940,-1,273984,895148,-1,-1,-1,202036,346285,581350,354609,-1,-1,-1,541648,-1,342333,-1,676207,-1,21288,-1,789353,773172,474442,-1,-1,-1,98580,-1,-1,-1,-1,-1,657015,-1,-1,-1,643936,2575,978703,-1,750230,681659,-1,740362,-1,-1,-1,-1,484606,-1,984706,958616,-1,-1,519961,863930,623372,505220,-1,-1,-1,836109,63393,374239,289879,676990,329949,872687,805032,120718,-1,452653,-1,694187,209801,-1,602576,565373,-1,189529,-1,-1,24513,765796,697780,-1,725737,-1,736970,-1,98404,-1,62338,634858,410025,207527,573454,708733,966392,927856,-1,-1,-1,448303,-1,991592,-1,-1,201175,311124,-1,303651,-1,354751,-1,380434,-1,-1,507638,-1,645436,582148,-1,987281,-1,-1,-1,-1,855026,134862,-1,504600,90439,920469,947611,63971,377902,68782,754033,909453,248653,59268,596693,934087,-1,311436,-1,-1,693334,-1,-1,-1,862984,-1,652301,-1,-1,172351,496554,-1,524623,449942,528885,498704,511909,997897,-1,289831,-1,145204,-1,-1,14321,571118,-1,420789,915772,-1,-1,765503,-1,-1,-1,-1,139410,123554,30389,-1,194786,-1,-1,372865,957352,-1,506016,-1,255618,-1,-1,563637,436152,159280,200101,-1,-1,-1,264444,851052,492370,-1,804224,-1,-1,579048,-1,501406,713555,-1,-1,901282,577594,994449,773196,172749,457159,-1,-1,304518,-1,430002,372254,-1,-1,-1,480529,-1,-1,-1,-1,305365,-1,-1,607014,363605,-1,71682,-1,202026,709319,-1,877660,570687,-1,389552,-1,460648,-1,-1,896810,739958,-1,411246,893523,75511,101036,-1,637490,-1,224215,825131,-1,54207,-1,-1,774794,395283,-1,-1,-1,-1,-1,-1,702883,-1,82996,860308,-1,426400,-1,974561,9972,-1,24917,-1,595327,-1,-1,-1,335012,93814,501730,801609,-1,-1,141222,-1,-1,255527,621235,-1,-1,64225,793886,-1,555503,-1,635346,262169,303177,-1,24685,322372,950944,53673,79703,-1,-1,413750,346371,258387,260973,-1,688173,-1,490424,219078,107831,479084,213447,-1,-1,302759,-1,-1,-1,-1,18079,25186,-1,-1,311372,-1,-1,-1,-1,998445,-1,437382,-1,8268,-1,552160,-1,-1,-1,290186,962005,636719,-1,976599,-1,189162,87663,795803,-1,176464,-1,548173,-1,-1,87014,117349,-1,733725,-1,17969,221859,-1,587961,-1,970494,88450,-1,667256,326596,-1,678822,36613,504261,-1,520500,132340,-1,192259,-1,-1,-1,269802,367655,-1,-1,897253,997597,-1,777014,-1,-1,683940,-1,444953,-1,367872,-1,110946,773442,395188,276727,-1,-1,680060,-1,334636,-1,-1,-1,-1,332973,-1,-1,221061,275786,339597,734991,423434,-1,-1,-1,15472,-1,557884,-1,364632,463056,-1,377244,575117,-1,231384,48262,383112,-1,101256,41051,-1,875613,855369,480566,-1,908836,322704,731376,-1,201124,395738,-1,-1,339043,894171,312010,893697,833283,161170,77655,958528,845857,505899,755036,-1,171391,-1,100377,931266,-1,225834,-1,-1,-1,-1,-1,439436,-1,449472,184493,-1,626074,-1,707630,528259,647832,392687,50795,205829,-1,714137,-1,345875,723421,425205,-1,-1,-1,174419,-1,967343,684515,-1,-1,992823,-1,-1,-1,-1,-1,-1,834491,374101,-1,-1,-1,-1,832768,-1,-1,58800,353991,-1,-1,-1,681594,-1,985076,-1,-1,-1,-1,224331,705358,-1,-1,-1,998110,-1,-1,-1,292720,364477,-1,-1,-1,-1,-1,-1,-1,362034,496266,-1,371781,916352,440688,-1,72377,-1,-1,-1,-1,-1,452592,267403,-1,502714,-1,-1,-1,-1,481758,-1,183510,-1,-1,-1,166413,48167,-1,-1,-1,-1,-1,502759,-1,543611,-1,-1,-1,258335,-1,4976,570993,-1,57348,-1,472660,71575,137977,-1,656024,288505,54672,767726,-1,-1,136102,535874,626223,467866,531028,907117,229152,-1,-1,-1,45570,-1,-1,-1,36264,383741,-1,-1,365368,728677,-1,-1,-1,-1,988428,-1,-1,717929,-1,-1,-1,-1,-1,-1,-1,738835,-1,-1,-1,-1,852515,-1,-1,585238,-1,-1,-1,-1,739984,868863,971769,-1,855669,-1,-1,-1,-1,204877,300825,-1,39964,-1,-1,-1,29032,-1,366773,638806,11107,-1,135733,-1,821562,534754,-1,-1,449469,-1,-1,-1,255193,444760,147235,-1,512204,-1,98650,433846,312354,971419,-1,223115,309831,20534,131948,-1,294523,262523,402977,945793,-1,578189,568911,-1,-1,482373,700740,430984,951905,358015,-1,36063,86023,-1,-1,106019,-1,275849,-1,-1,-1,967471,-1,933953,-1,243636,-1,-1,54845,761578,626798,-1,-1,-1,-1,-1,810763,279607,-1,-1,365922,717176,-1,-1,-1,-1,-1,512071,648549,-1,243775,-1,-1,357224,978261,-1,-1,101561,615595,533879,-1,109847,-1,-1,42417,-1,-1,-1,750359,610352,-1,-1,669957,750145,-1,-1,770036,415252,180261,278898,-1,-1,-1,-1,696162,-1,697551,319473,390954,-1,326452,-1,-1,-1,-1,-1,919960,489848,-1,151158,575824,258837,-1,-1,-1,-1,-1,200645,824595,350775,-1,-1,-1,131879,-1,582601,-1,196096,-1,730867,-1,-1,665687,586303,406390,-1,-1,-1,342557,-1,902720,-1,121918,465501,-1,-1,-1,-1,-1,259431,258783,913834,37168,-1,718000,-1,-1,39290,-1,-1,229324,223534,953956,461760,-1,997698,214913,-1,417255,-1,906494,-1,-1,-1,985430,-1,862060,-1,334754,-1,-1,350120,778326,-1,181952,-1,478216,440511,727895,-1,470134,213442,-1,533177,-1,485059,-1,980926,999622,609181,791216,-1,299015,77318,-1,-1,-1,522896,-1,-1,-1,-1,-1,-1,420870,-1,398068,340787,188528,-1,247938,-1,-1,-1,232520,179190,-1,718480,536892,-1,-1,-1,660671,143742,486574,-1,448082,-1,948447,-1,-1,-1,-1,219949,359954,241688,-1,776364,284004,274888,780244,-1,426668,123511,-1,-1,973681,785344,-1,914072,-1,516977,207913,-1,873495,318662,953597,93008,-1,431191,-1,627653,259910,-1,260512,-1,885647,-1,794472,426010,37451,-1,-1,-1,106335,-1,968557,-1,782614,218077,-1,-1,-1,999978,-1,655238,-1,858984,-1,761550,693802,532872,86252,-1,-1,52068,349600,512942,484946,340959,173783,-1,-1,222373,393611,83931,441869,282371,455575,533854,-1,629221,381505,187610,-1,157352,-1,-1,204692,-1,489928,711878,739316,-1,184931,-1,763429,-1,219032,-1,-1,920191,-1,-1,454146,259834,-1,379321,787570,21797,-1,-1,51473,711256,-1,832200,-1,310545,-1,781357,-1,-1,-1,41599,905075,791353,-1,157314,247954,861414,171724,-1,618216,960324,143551,826191,-1,134010,-1,-1,-1,-1,-1,240927,868984,-1,571190,356674,-1,428185,422942,646899,793952,-1,960936,-1,903443,-1,-1,-1,911342,713992,475380,-1,-1,27783,673806,-1,-1,-1,-1,-1,-1,561684,470549,-1,765023,-1,629757,-1,-1,-1,-1,-1,-1,-1,19020,-1,329842,966308,-1,708587,-1,-1,813989,-1,-1,291925,625745,-1,655787,-1,-1,673047,891112,597609,313742,-1,-1,-1,274600,-1,407715,-1,603596,595898,878155,-1,-1,756714,-1,-1,751997,458538,132720,281070,54581,124332,-1,176732,48131,-1,-1,-1,-1,-1,195206,-1,-1,231634,946361,511260,-1,-1,-1,-1,-1,-1,-1,-1,927973,-1,209177,131454,-1,613272,812966,-1,-1,514137,-1,286199,-1,-1,-1,291402,90001,793522,817737,919388,-1,-1,151618,-1,-1,-1,541971,-1,-1,-1,-1,554881,-1,265688,220447,642474,133590,-1,130870,919300,-1,120656,-1,859923,-1,-1,882354,620303,269439,243970,-1,787085,388121,-1,-1,-1,-1,-1,970752,60087,-1,998020,-1,-1,-1,902976,-1,-1,-1,366573,-1,-1,-1,304137,-1,-1,717980,908410,-1,-1,596812,-1,447954,-1,558599,-1,-1,617272,-1,-1,-1,-1,331801,-1,-1,49046,-1,-1,-1,866481,-1,-1,-1,-1,-1,-1,981852,-1,-1,-1,-1,301429,545510,-1,736067,624473,-1,174508,448956,-1,-1,807590,912793,-1,815294,-1,-1,107992,433734,166068,-1,996184,-1,854133,62939,328577,611473,-1,-1,72925,884661,-1,478042,-1,781067,-1,159637,-1,-1,-1,968976,106875,424566,-1,286986,733959,-1,-1,-1,-1,-1,459702,-1,807289,-1,-1,-1,403981,-1,-1,-1,-1,775859,-1,318099,56364,-1,-1,-1,563687,612247,-1,121495,-1,922887,731639,-1,-1,-1,-1,-1,5398,585939,-1,-1,407930,-1,-1,-1,144275,823007,-1,-1,869172,566298,-1,970915,-1,463520,-1,-1,-1,971222,413817,784625,-1,648617,-1,-1,-1,261967,-1,-1,39437,-1,863664,-1,-1,991524,-1,-1,219729,-1,-1,-1,-1,-1,11126,854796,553661,-1,282778,81070,400112,797403,644415,-1,258899,276395,-1,-1,-1,-1,206158,676393,-1,84217,136931,-1,-1,415961,893227,-1,412089,-1,259420,-1,-1,-1,-1,-1,802069,292279,664485,423050,452202,-1,57053,554166,503854,347007,-1,-1,475678,-1,-1,711482,740118,483306,723152,-1,631657,-1,233921,692836,152104,205373,-1,-1,86084,-1,-1,-1,-1,88279,-1,330419,564611,-1,-1,-1,-1,181443,-1,481153,-1,319683,635667,26254,436806,24880,-1,522611,950073,216408,-1,789617,443865,433170,-1,154455,-1,-1,856418,-1,-1,132652,-1,172730,683773,-1,-1,-1,-1,-1,-1,-1,768609,67,-1,-1,-1,921801,-1,596712,-1,19781,-1,-1,759332,410240,-1,-1,862848,-1,355165,618862,-1,411434,-1,-1,-1,-1,-1,-1,-1,156403,-1,560572,127896,653903,369498,336500,886686,-1,821755,-1,449151,-1,547607,-1,950899,-1,-1,54743,-1,-1,681166,651894,-1,-1,802110,-1,380950,888504,-1,-1,-1,569918,374162,250590,703359,-1,577967,-1,-1,284627,909965,157874,820060,478931,358456,-1,81740,193584,-1,-1,-1,-1,214860,693783,-1,-1,-1,-1,285225,199850,637692,-1,732924,-1,936711,715876,-1,209387,251395,307336,-1,896036,180051,-1,843203,-1,-1,80350,-1,-1,-1,995669,804517,-1,413793,-1,-1,-1,-1,338228,-1,-1,391213,-1,718515,251166,-1,-1,-1,-1,193714,-1,-1,624808,242267,-1,-1,-1,908750,-1,712822,742485,667847,379530,-1,-1,51888,198799,784382,-1,230366,-1,-1,-1,802632,-1,-1,482488,884652,-1,841871,840680,816364,-1,-1,123353,-1,368036,389310,86653,-1,850318,889338,725568,-1,720370,650846,-1,-1,530116,-1,377216,76297,-1,147816,-1,-1,-1,-1,272551,-1,553008,-1,-1,-1,-1,764884,-1,-1,-1,389397,-1,-1,963720,912250,-1,229534,939462,-1,3665,-1,-1,535735,677086,939020,-1,-1,-1,236900,-1,717456,-1,940843,483714,-1,-1,-1,323070,435466,-1,-1,996286,-1,-1,213223,-1,787007,-1,-1,-1,-1,-1,381229,-1,71141,968291,-1,909398,-1,646217,-1,-1,-1,343251,-1,-1,930189,616031,-1,-1,841211,868649,-1,27687,84817,776672,-1,636798,-1,599700,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,932659,-1,-1,-1,194667,131969,-1,90123,931061,535097,31959,633968,-1,280293,337655,-1,117620,82063,723121,-1,743241,505445,-1,821327,5641,-1,-1,-1,-1,-1,397136,135052,680233,-1,-1,804275,-1,51661,-1,-1,859745,-1,795159,263983,-1,859560,2236,-1,-1,-1,-1,732474,360488,167398,55472,748683,483870,340465,38539,990426,-1,365017,501712,-1,478578,-1,-1,926939,-1,683730,-1,-1,-1,396072,-1,47623,644867,-1,436374,-1,-1,602883,-1,29780,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,384773,-1,-1,409731,-1,-1,-1,842330,-1,-1,358340,-1,696079,618028,961438,-1,-1,818912,-1,-1,-1,912552,226385,-1,79477,18788,536280,946206,-1,595174,-1,-1,-1,396573,308678,-1,140715,-1,663385,-1,-1,783536,869051,663129,399684,-1,-1,-1,-1,-1,-1,-1,860442,-1,112038,-1,-1,-1,-1,66186,294665,-1,-1,204788,-1,876481,288812,506663,-1,233481,-1,-1,-1,-1,131279,-1,-1,143789,799130,380257,-1,127634,957995,-1,454916,-1,-1,491368,143684,842893,-1,295030,727660,-1,-1,937345,175087,-1,936826,903053,-1,-1,-1,710123,-1,247198,-1,-1,40008,342801,293747,611190,-1,346517,739977,-1,-1,-1,583692,-1,368703,-1,-1,83542,-1,-1,-1,377917,-1,112869,-1,-1,304504,-1,333769,-1,-1,807187,-1,-1,-1,-1,832070,224556,-1,231187,728593,-1,-1,-1,-1,-1,433257,-1,864196,8356,-1,754283,-1,263943,-1,-1,-1,-1,448833,692327,676047,469356,-1,780440,-1,-1,-1,-1,276997,-1,279361,56825,-1,-1,-1,713239,-1,658363,654645,-1,-1,-1,358635,73869,557784,-1,657367,623223,930246,-1,-1,-1,-1,533544,390053,674871,-1,-1,-1,-1,345110,174865,-1,-1,-1,874488,-1,-1,-1,-1,-1,574981,575818,-1,-1,-1,-1,526104,196588,189500,304720,-1,595581,258730,23689,442049,-1,366278,-1,949399,981861,-1,745685,-1,84059,641754,799935,-1,-1,412785,39224,553847,700686,-1,895735,-1,-1,380195,664047,824542,870873,230256,-1,874996,392553,-1,-1,-1,725828,-1,328684,119705,-1,827921,953889,-1,399404,-1,-1,142366,-1,-1,-1,-1,-1,750192,919899,55474,546950,-1,46592,954491,-1,563288,952765,-1,578566,-1,-1,3719,-1,840150,291484,-1,-1,504338,-1,484215,202749,-1,-1,416724,-1,724935,938407,-1,81846,-1,-1,236265,376544,-1,654917,303155,827811,-1,-1,444123,837470,-1,-1,-1,248934,-1,-1,-1,584245,-1,-1,-1,-1,292962,-1,623817,-1,855385,-1,756412,-1,-1,-1,129376,99388,744186,24405,-1,-1,400833,360761,215180,354927,-1,515925,-1,733271,-1,-1,904430,578325,884782,-1,392668,276542,471357,-1,-1,176018,-1,54963,-1,433483,-1,615214,-1,420949,-1,103181,-1,-1,-1,-1,-1,591216,478452,-1,-1,-1,737629,300614,855399,757202,-1,-1,822061,155112,-1,283754,136355,160490,-1,34919,925912,168417,-1,471833,465083,354879,38287,-1,648211,-1,-1,-1,189218,129378,-1,261879,957612,-1,-1,-1,127564,244404,-1,-1,231480,-1,-1,-1,-1,832162,162895,767853,783070,989696,949582,-1,638765,289376,797792,-1,424965,392144,-1,956837,195702,708528,-1,402010,967356,-1,-1,850317,-1,-1,-1,202710,-1,-1,-1,123793,619464,-1,801612,818010,195281,-1,-1,-1,-1,-1,-1,-1,-1,-1,467298,-1,-1,783649,679273,-1,961790,-1,-1,-1,428528,763626,732948,675384,-1,775903,-1,-1,-1,-1,-1,-1,-1,872503,-1,842624,-1,-1,-1,-1,-1,-1,825664,736068,279594,954505,452030,12693,-1,-1,87763,-1,1275,574647,-1,842333,-1,-1,-1,532600,290594,430075,798550,-1,584247,786677,492158,342055,-1,984829,-1,107054,-1,-1,815950,-1,-1,268064,67191,-1,801304,174782,166677,-1,-1,873669,796316,-1,713010,386781,639072,-1,-1,852427,444423,-1,54543,7751,870157,26882,429836,708631,-1,510075,-1,946050,476049,-1,-1,4123,604880,-1,-1,339763,353515,-1,-1,868971,204742,-1,392761,-1,469808,-1,933668,-1,660023,166744,488675,-1,-1,-1,488634,-1,423885,845257,-1,-1,-1,795324,132547,648574,813487,150534,-1,-1,791659,76046,727339,-1,-1,-1,611177,259216,-1,569114,275029,531601,976924,437904,992024,-1,-1,777969,718608,-1,-1,79659,884117,-1,445749,618060,249207,193325,-1,172745,875379,-1,465354,361611,-1,701879,-1,153788,276076,870963,211181,356284,52239,329910,-1,822929,166738,-1,-1,-1,226686,696582,-1,-1,-1,-1,-1,134394,61342,-1,-1,-1,-1,-1,-1,431355,795537,207773,5046,504438,-1,439817,-1,-1,404692,-1,401156,-1,541300,724769,-1,705065,-1,745952,-1,-1,215807,-1,200602,-1,-1,-1,-1,-1,112857,-1,800428,331161,-1,735984,586104,-1,581713,-1,368802,535530,-1,-1,853949,-1,681300,59345,153674,-1,-1,-1,-1,547631,-1,943470,-1,764983,-1,-1,541900,-1,670058,797835,-1,193064,391451,571724,-1,-1,368281,381056,-1,-1,-1,-1,356421,145948,153218,-1,-1,294763,-1,824205,741400,112802,185507,823650,-1,680196,-1,357422,-1,-1,-1,-1,-1,467697,100686,-1,-1,498244,-1,-1,-1,668401,540681,-1,-1,-1,635999,920510,573442,651742,168155,489330,135508,964730,-1,-1,741740,541100,499440,-1,-1,-1,204688,-1,-1,895483,-1,523386,256940,-1,104042,710766,-1,820423,-1,613949,-1,-1,909358,-1,378896,989539,641923,-1,267569,641949,514667,483833,-1,755378,-1,-1,-1,42708,-1,669262,-1,-1,115803,675619,-1,-1,238496,283766,-1,-1,-1,152516,768018,-1,373669,-1,899438,789701,-1,-1,531053,318870,-1,-1,566553,-1,-1,648542,646385,-1,-1,364408,-1,-1,808497,-1,-1,203519,-1,555343,151653,-1,581513,502903,792638,396402,-1,-1,769414,-1,424764,193562,19698,892462,-1,142435,287504,68774,-1,-1,461097,619806,-1,-1,402750,-1,401747,902302,24111,706749,-1,382292,-1,109130,998610,-1,-1,129397,50961,-1,-1,-1,-1,214605,2637,623459,-1,-1,904641,-1,-1,159016,-1,-1,422708,603001,-1,-1,-1,-1,-1,-1,-1,246710,600218,-1,767928,-1,803734,-1,926742,-1,252255,-1,685149,377147,136009,63780,-1,-1,908664,667795,-1,-1,-1,-1,278431,-1,752890,-1,207425,-1,745268,358519,754688,914531,-1,87116,117107,828082,998882,841066,895195,414918,805415,-1,-1,411353,152826,599270,-1,434309,-1,-1,-1,-1,-1,-1,430892,975481,-1,448391,275147,-1,-1,-1,-1,251043,-1,458412,222601,-1,734063,-1,72745,-1,938822,468925,972371,841244,-1,535577,-1,-1,-1,-1,-1,2114,-1,434533,-1,711498,-1,-1,5205,-1,746819,667757,667367,747064,982929,993464,591861,-1,643387,-1,-1,146547,-1,284663,399884,-1,-1,-1,703729,83871,-1,625423,402316,367900,476608,-1,-1,-1,-1,833647,-1,91337,-1,-1,-1,-1,-1,-1,-1,874874,-1,-1,-1,-1,-1,-1,243349,-1,-1,296967,652161,320478,-1,34752,-1,822238,426703,97434,944114,-1,526380,35129,327030,589294,-1,747726,823225,929214,-1,-1,182199,-1,736069,-1,-1,883463,306473,85144,-1,-1,514544,-1,-1,258250,-1,971724,966946,777317,-1,-1,565402,179306,-1,7819,-1,753007,-1,-1,-1,-1,-1,474019,136514,-1,-1,393865,276137,226886,510489,941503,653975,-1,-1,-1,-1,-1,731708,213298,561955,357469,495355,481019,-1,957009,549450,524459,-1,489860,-1,-1,729687,271384,983676,275649,-1,-1,291779,-1,775693,-1,976190,-1,778858,-1,-1,949783,985045,649435,-1,-1,176895,-1,-1,635372,-1,499487,-1,-1,631537,-1,-1,600327,625178,558939,-1,-1,-1,-1,367404,-1,221847,640279,777505,-1,-1,129729,472904,-1,838964,990635,-1,-1,-1,772046,-1,-1,44069,870538,-1,-1,-1,-1,-1,-1,-1,-1,-1,447269,-1,-1,-1,460686,583209,391185,-1,-1,981668,-1,-1,-1,-1,732304,-1,-1,17207,-1,648219,346931,332818,157282,-1,64683,-1,-1,842918,417403,843415,-1,627507,590587,-1,527794,123708,974837,583453,-1,-1,-1,846105,-1,8722,-1,-1,348742,-1,-1,-1,-1,27773,-1,-1,359657,202880,-1,430988,-1,-1,46668,-1,-1,-1,-1,431041,749632,363209,737236,-1,-1,-1,-1,630032,447259,570146,634540,86636,632361,-1,891374,-1,827655,260442,-1,856352,-1,378795,324786,-1,-1,532290,-1,-1,267094,606839,664263,517615,-1,938308,595887,118330,725062,-1,208109,-1,891424,-1,789819,-1,-1,-1,180182,-1,262287,314114,-1,314078,-1,564240,215841,241254,-1,580919,775589,968264,-1,552668,-1,-1,440083,-1,698436,-1,541859,-1,165791,-1,-1,109952,-1,666644,404391,928656,139945,125006,238440,-1,-1,190607,-1,-1,-1,92060,728816,-1,-1,583186,25802,968229,66422,-1,239411,-1,422685,668681,-1,799414,-1,-1,-1,348231,-1,964806,-1,582498,239011,404887,754812,-1,764669,338452,382915,-1,516031,504144,193322,151386,93876,439859,466945,174004,34708,-1,-1,-1,-1,691246,-1,-1,922116,179885,475141,-1,-1,-1,879634,-1,-1,617407,-1,-1,33952,118980,209816,93319,512206,543813,685787,-1,-1,-1,531256,830364,-1,-1,376156,-1,-1,-1,-1,-1,-1,-1,624878,-1,933445,256939,430536,-1,-1,-1,-1,-1,-1,495931,138800,242521,634739,533945,-1,-1,-1,-1,842347,864252,-1,-1,-1,799235,216483,359281,176875,-1,620923,737218,861475,765443,-1,733466,421036,-1,-1,-1,861469,-1,64652,679801,-1,359219,-1,-1,613380,214168,-1,258792,873542,620576,432706,889493,653061,-1,731140,446179,568106,-1,-1,-1,-1,107607,-1,413542,149866,-1,935131,-1,967550,-1,-1,454807,-1,-1,-1,-1,-1,668094,53318,639762,637050,762727,487667,429188,293795,-1,723157,606061,46941,624067,-1,-1,504384,-1,-1,-1,-1,578343,-1,-1,-1,-1,820403,-1,250712,701340,126406,-1,-1,-1,480997,-1,-1,902978,-1,413057,545105,-1,889624,-1,56426,332830,-1,-1,-1,-1,-1,-1,-1,64317,215323,134686,-1,351704,492337,-1,936475,297512,-1,763262,-1,984883,665844,-1,642896,153528,-1,139003,-1,-1,376977,340001,757519,-1,831483,-1,47826,-1,175624,-1,-1,-1,-1,-1,108421,769532,725997,777028,-1,-1,432840,829728,-1,-1,-1,606016,147340,650817,-1,-1,68695,-1,-1,-1,-1,843762,117625,-1,-1,-1,-1,-1,-1,-1,300451,883146,463957,-1,823644,-1,-1,-1,551022,672639,-1,364745,-1,637636,346165,507094,-1,906360,57269,-1,-1,678766,945867,-1,323640,-1,495621,-1,73462,-1,854583,-1,-1,963286,246370,-1,710807,207871,617129,921903,344876,52112,903416,313960,-1,428538,-1,136243,-1,-1,65221,493391,-1,519486,-1,-1,454815,-1,-1,-1,55636,-1,-1,3659,7148,-1,-1,866406,984134,-1,-1,-1,724380,-1,-1,73746,981919,-1,664986,45527,250992,703044,355656,-1,83360,552703,-1,-1,-1,-1,23450,920387,847544,849627,777875,-1,219189,73316,648956,594611,648685,240496,868114,-1,-1,393501,374091,-1,773121,574179,581626,661082,-1,896720,548792,965464,746038,918614,750011,-1,254733,456899,900779,131104,-1,-1,-1,912439,312527,-1,-1,559095,-1,924033,-1,969120,401795,-1,25375,551078,-1,981924,-1,-1,729859,-1,-1,-1,-1,-1,246676,608462,248907,843606,369640,421924,776420,-1,326049,872355,-1,804179,-1,988070,-1,-1,977327,-1,-1,675053,652427,792134,-1,944950,-1,999001,850685,-1,630914,934650,-1,-1,-1,951013,628175,-1,555888,548765,-1,965322,372501,584978,734736,-1,936603,-1,402995,256204,-1,-1,-1,495268,-1,-1,-1,-1,-1,-1,-1,-1,63056,-1,253454,-1,752351,-1,514140,-1,648290,492383,-1,-1,-1,-1,711925,-1,863814,-1,-1,74867,504132,-1,146521,-1,-1,953396,166664,665006,380835,-1,-1,948047,34030,-1,488663,442605,451110,-1,891354,885962,924400,-1,-1,-1,936467,786914,46040,-1,-1,-1,99770,-1,437729,-1,839093,-1,293852,-1,899622,373250,766035,-1,-1,-1,180598,-1,-1,759531,-1,654371,-1,579846,791611,327909,-1,-1,-1,-1,832890,457379,866112,617954,566339,224099,-1,210538,443917,-1,367324,-1,-1,-1,482288,462016,374970,-1,419413,730457,116870,-1,-1,-1,-1,-1,621437,266234,-1,727023,-1,425682,-1,860027,-1,-1,-1,-1,-1,517848,-1,-1,277824,573494,-1,206881,302041,148354,-1,937530,-1,-1,-1,-1,484810,-1,396729,-1,-1,449501,728436,-1,446548,-1,390003,12305,-1,80254,512041,382358,-1,780889,-1,3999,945649,596150,-1,-1,-1,872333,-1,388510,193141,-1,-1,220270,-1,-1,605514,-1,548257,84868,-1,998335,-1,811737,-1,-1,90876,57471,-1,-1,459454,-1,243274,121295,400047,-1,-1,-1,-1,481743,678472,283801,451131,-1,592273,-1,573562,715107,-1,-1,476583,-1,-1,-1,664144,971907,-1,476636,-1,-1,501605,243208,-1,-1,-1,-1,933590,-1,-1,-1,-1,-1,-1,505296,-1,-1,-1,58550,346531,-1,443713,455276,-1,857190,-1,-1,709654,55552,374362,-1,-1,924568,57258,208219,974492,760881,-1,-1,-1,513589,-1,-1,-1,-1,204056,-1,154662,-1,-1,689936,-1,457396,895340,-1,-1,-1,780488,-1,-1,609656,138318,-1,-1,-1,973009,-1,103044,627474,153696,51365,-1,352614,623188,971197,779115,4148,-1,122616,-1,-1,-1,403476,846999,-1,-1,820963,456699,317905,599071,-1,361376,48294,897040,-1,-1,225577,-1,-1,689543,-1,631420,745788,42193,727648,208183,62363,236950,-1,805414,771919,16410,-1,-1,409374,-1,-1,998542,-1,399579,-1,-1,751593,-1,-1,-1,-1,161968,417121,-1,-1,492816,708810,-1,-1,814696,-1,528464,151767,300863,-1,-1,766948,-1,884787,-1,-1,703263,-1,167750,-1,-1,-1,-1,-1,747241,946855,-1,-1,650037,105814,589206,-1,276079,68894,-1,-1,-1,606204,129997,390863,840223,782262,748752,-1,-1,-1,103305,-1,690701,-1,376320,-1,916022,314121,58721,824202,-1,649286,-1,508455,348186,595722,-1,334687,442481,-1,80385,-1,-1,-1,283077,-1,-1,-1,873758,174512,429770,-1,570076,-1,-1,766774,-1,-1,801342,931605,989469,770998,156871,-1,366969,549577,-1,-1,-1,636259,-1,790075,-1,-1,-1,677798,-1,903553,858607,-1,-1,-1,-1,-1,959866,-1,320998,-1,888151,-1,-1,-1,-1,517778,437522,-1,-1,218298,-1,-1,11067,-1,123439,-1,540520,-1,-1,-1,-1,849981,823694,671685,107977,651954,-1,442643,654533,-1,548375,11884,520052,104611,-1,-1,687211,-1,239662,588773,-1,-1,-1,-1,615802,59822,966887,-1,-1,185796,-1,78019,389388,304373,955938,-1,916014,-1,-1,-1,362419,968069,261517,276886,-1,363868,-1,-1,-1,605013,340685,497681,653218,-1,966657,-1,582634,421809,124461,-1,-1,693488,-1,-1,-1,345606,681632,360668,-1,-1,201375,139890,-1,530173,757816,-1,-1,-1,600735,-1,415932,792599,-1,-1,943217,307107,-1,19074,-1,16281,347671,-1,-1,229254,521932,171062,730643,383482,-1,515801,344705,-1,-1,87405,366249,-1,115555,-1,586338,202285,926520,409127,-1,344260,-1,477477,-1,-1,439181,-1,-1,-1,-1,86290,265881,135624,805586,-1,-1,404078,111820,329596,792573,63324,794389,203707,-1,-1,-1,-1,-1,869839,-1,-1,954199,171752,-1,-1,-1,487776,-1,120314,-1,-1,-1,303669,495253,57861,405093,480243,-1,-1,12487,798136,556318,-1,611799,-1,-1,-1,-1,158624,897956,-1,-1,385077,-1,-1,475818,-1,715102,-1,568295,-1,85070,-1,202000,-1,-1,273795,526930,-1,667809,184346,-1,-1,796747,996175,138736,910213,-1,-1,-1,151089,888030,-1,-1,-1,-1,-1,392002,427076,-1,67124,436975,-1,10050,941206,800036,383450,-1,-1,-1,-1,-1,937729,-1,341968,-1,549387,587643,-1,-1,730322,206189,813768,-1,-1,-1,801968,179970,-1,-1,286313,-1,-1,569459,454208,-1,-1,255494,-1,663897,175739,-1,968160,52861,725273,594389,-1,-1,-1,-1,-1,-1,-1,-1,28869,-1,-1,487960,571600,-1,-1,699853,200687,194797,-1,-1,-1,-1,-1,-1,705417,-1,825098,674424,568107,-1,-1,-1,947069,-1,-1,15270,-1,-1,2998,-1,971472,471459,-1,820372,186925,-1,350844,631897,450001,848810,-1,672792,-1,-1,103955,628700,609946,-1,-1,-1,651408,856169,-1,810213,-1,428204,813890,736132,208214,-1,655007,-1,-1,-1,915351,929190,585987,210820,230676,-1,675858,558566,-1,234502,-1,694783,-1,-1,-1,-1,531895,737413,389561,620526,-1,-1,465237,244045,57947,-1,-1,-1,585901,740836,-1,-1,490009,171814,170073,-1,-1,-1,-1,885715,-1,-1,-1,641215,-1,-1,-1,180635,-1,-1,-1,205992,-1,-1,580835,-1,225959,630746,-1,-1,-1,-1,105417,445433,-1,452946,-1,399288,-1,-1,540880,454941,-1,-1,-1,929566,585487,446623,-1,-1,758992,-1,305095,681897,-1,-1,779910,-1,-1,807804,494131,593202,-1,-1,640191,-1,312949,-1,-1,655141,897754,-1,-1,-1,604648,571849,-1,-1,-1,-1,189266,12292,-1,-1,87998,630159,469310,-1,971479,770856,-1,-1,998716,877791,634507,316441,688455,-1,-1,-1,215693,572334,956575,633248,-1,170756,-1,-1,606345,664245,-1,1988,597121,289004,405870,549771,-1,909454,234804,-1,-1,-1,-1,-1,-1,445997,734087,810478,823351,-1,-1,-1,-1,944180,951602,-1,-1,-1,-1,323683,180107,-1,50932,-1,115665,-1,38387,495810,625707,73896,418157,747924,854883,-1,-1,-1,-1,-1,303505,-1,77461,-1,371268,376870,-1,896481,-1,696344,-1,63988,668077,297065,644529,475377,759204,-1,-1,-1,745310,-1,-1,-1,-1,-1,-1,-1,652805,664974,832991,842288,-1,-1,314971,-1,521003,-1,-1,761042,-1,-1,-1,635666,446351,-1,588241,39213,852662,-1,360691,-1,59081,-1,-1,-1,-1,-1,-1,-1,-1,-1,851810,-1,-1,-1,977654,37732,164015,-1,788446,666490,533891,-1,307819,688223,-1,964718,-1,994387,-1,677279,-1,114121,-1,-1,154655,-1,726147,-1,10634,292047,-1,772360,997388,795425,-1,888279,500154,-1,717589,553467,652763,-1,-1,781540,283480,-1,-1,928752,495885,-1,-1,-1,-1,758521,309696,380603,685146,966553,-1,-1,-1,-1,565462,-1,667972,-1,116821,-1,-1,364150,838287,-1,332756,-1,-1,-1,-1,843863,-1,695037,-1,-1,-1,-1,760643,-1,-1,-1,-1,667359,356733,614657,-1,-1,-1,324569,39879,-1,-1,-1,895183,670488,314541,134344,-1,32158,-1,166361,619878,-1,-1,558229,-1,-1,-1,937858,858452,-1,137165,-1,-1,-1,-1,94813,-1,589816,560231,-1,939916,378825,401664,-1,-1,-1,-1,977908,578595,-1,581892,-1,-1,954018,-1,560143,85072,739071,233656,-1,-1,752925,504203,764807,807218,121423,782063,-1,598183,-1,959259,-1,-1,64832,105260,3227,-1,-1,-1,-1,-1,401396,-1,-1,-1,-1,348871,410474,-1,914130,317911,771861,-1,-1,-1,127977,394965,690518,418313,605724,-1,-1,554773,-1,984613,-1,414221,-1,-1,-1,143837,250566,-1,-1,580931,251745,-1,957872,-1,-1,816188,460264,-1,-1,685793,463998,381174,715312,469705,331281,912773,-1,-1,-1,158186,-1,-1,135107,756675,19242,-1,846107,770664,369752,-1,629724,-1,128085,-1,608307,121167,448284,798477,-1,-1,863264,321789,-1,79485,-1,-1,437239,608166,230711,121438,-1,704960,-1,-1,-1,-1,-1,876552,830199,-1,527099,550431,485821,-1,259004,-1,-1,958437,37123,-1,187327,-1,-1,-1,-1,634099,-1,-1,900391,287110,698674,310464,64011,-1,76692,-1,343422,559458,511259,-1,290103,346404,-1,530692,-1,-1,-1,993543,-1,-1,388282,-1,996866,265696,435777,-1,-1,-1,-1,-1,-1,241121,375781,651455,-1,-1,-1,541704,24065,634383,108273,976809,382149,720305,542111,256071,543828,948078,581228,609655,-1,-1,-1,666015,-1,789399,121071,-1,-1,92012,-1,430435,431092,-1,593556,760272,113748,129710,-1,-1,-1,502264,-1,287134,-1,-1,-1,960469,249042,866669,-1,857365,88148,432589,-1,322508,-1,-1,513392,-1,-1,573745,129139,-1,-1,533903,262339,-1,-1,840563,-1,839839,-1,-1,-1,914025,275169,990002,63762,-1,666337,210955,429780,566147,112823,-1,412823,715964,348137,629300,-1,874736,863844,959667,399726,590267,-1,-1,-1,123001,-1,240210,482158,907412,-1,-1,738182,682086,442529,-1,-1,-1,-1,992728,725485,409910,-1,499200,-1,-1,-1,247185,897806,459026,310426,-1,273664,61271,-1,771732,-1,177789,-1,-1,-1,910301,-1,-1,-1,812938,-1,-1,-1,-1,39997,173731,4615,-1,-1,933813,-1,-1,-1,-1,-1,732489,485450,585213,-1,-1,-1,-1,-1,-1,-1,-1,202365,-1,901994,181534,778630,-1,573088,1536,-1,-1,-1,556638,302088,-1,609045,-1,939116,-1,-1,847659,457855,988124,984960,-1,505936,-1,262895,139017,-1,-1,-1,672098,-1,175757,-1,-1,298288,-1,-1,-1,703891,-1,994318,264093,238333,-1,-1,-1,-1,-1,-1,536409,-1,-1,710753,-1,577335,-1,-1,-1,221105,-1,-1,-1,913194,569575,-1,522594,237009,798712,-1,-1,-1,705807,-1,558629,-1,-1,-1,639825,-1,213283,-1,-1,225650,-1,54076,-1,-1,-1,-1,511818,-1,-1,623620,-1,533781,-1,109353,-1,-1,-1,867324,441391,77887,-1,148326,-1,350022,-1,746838,873435,-1,453513,-1,328890,-1,-1,308142,-1,-1,-1,681839,-1,-1,-1,478796,-1,534414,-1,613103,-1,-1,-1,-1,432249,356881,324308,-1,-1,458808,648105,258570,91420,-1,-1,214516,-1,275563,934644,-1,475338,-1,619031,-1,-1,-1,607074,-1,-1,154789,-1,-1,76912,-1,-1,652927,966420,-1,630478,912920,963846,-1,743354,782729,-1,207904,-1,930700,950274,789410,-1,-1,154232,409210,-1,-1,187087,751693,258300,268861,883099,320963,-1,18242,-1,-1,-1,324123,6543,25486,364340,-1,371209,-1,602487,-1,97774,43891,-1,68666,-1,567597,-1,-1,-1,909384,-1,618457,761996,-1,-1,-1,-1,809769,747296,-1,20705,621456,468099,616571,-1,87524,927660,-1,-1,723031,-1,538209,708040,-1,-1,-1,-1,894606,-1,606652,281726,645917,168795,70117,-1,-1,-1,-1,833612,-1,-1,410874,-1,-1,-1,-1,163848,-1,-1,-1,-1,-1,-1,271742,592875,978541,-1,148194,497976,491139,-1,-1,-1,-1,476734,348385,-1,346960,-1,865954,-1,275436,991489,-1,-1,-1,-1,649741,-1,657940,871197,-1,-1,324417,127257,275913,627710,779717,642554,-1,179288,-1,-1,-1,-1,-1,279971,-1,-1,198061,260338,946041,-1,315323,942681,-1,-1,586841,909724,-1,344404,513818,898586,-1,473123,798678,-1,849793,-1,411684,745455,469463,734250,827877,-1,873468,-1,-1,-1,369430,-1,313408,108031,495114,-1,433060,-1,-1,-1,626733,414258,-1,381054,-1,-1,409383,414711,-1,-1,218371,-1,-1,469692,-1,258621,506011,-1,385375,68278,189185,933499,36642,-1,-1,-1,-1,121274,-1,703490,238176,-1,-1,568347,-1,135490,725139,4762,-1,244780,354024,-1,779851,-1,859418,826867,980170,-1,539941,675602,442294,-1,-1,4860,615027,-1,-1,779836,457419,-1,997550,683135,-1,-1,-1,-1,-1,810475,-1,128443,814049,-1,418684,83132,-1,-1,-1,481605,-1,-1,722891,250246,412504,388483,492937,915339,86699,-1,412533,436570,-1,-1,716232,233002,-1,260631,783172,-1,952571,12054,226961,920614,-1,144575,-1,33420,-1,-1,735184,-1,777842,-1,2100,319580,-1,150835,68472,-1,622738,825652,449118,-1,-1,-1,519301,91693,902371,-1,-1,610622,732744,654553,-1,665598,-1,832409,428471,-1,-1,46804,260996,678886,804122,-1,825382,50395,615609,-1,-1,-1,-1,472770,-1,41083,-1,-1,136381,848630,-1,-1,925654,444834,-1,579521,-1,555243,829367,736751,52838,730930,462941,-1,-1,-1,688137,618608,975054,-1,146725,87966,-1,-1,-1,840321,418629,-1,-1,46200,-1,-1,15048,-1,-1,-1,172699,-1,317473,-1,-1,187861,-1,-1,980773,819248,896414,655140,-1,-1,-1,-1,49702,778279,-1,-1,-1,-1,471265,-1,787465,-1,421751,-1,389896,-1,-1,-1,570713,828691,210067,-1,-1,149680,-1,-1,-1,567201,-1,-1,229741,-1,-1,-1,-1,457755,-1,257923,497079,711500,-1,871635,491826,-1,455898,321991,-1,960848,-1,-1,310455,39799,-1,78355,-1,177337,18885,-1,362257,-1,-1,-1,780263,-1,-1,-1,26668,70244,275579,927122,647966,864369,938657,-1,-1,987286,-1,-1,-1,-1,811214,868568,-1,535287,-1,903889,146032,697484,65893,-1,-1,830597,-1,-1,111395,-1,-1,-1,-1,-1,-1,-1,-1,-1,792292,296987,976106,574172,-1,530124,-1,-1,995751,844351,-1,827769,-1,639611,-1,298268,310135,-1,-1,875413,262252,-1,-1,-1,81343,-1,976672,592811,189467,584172,194207,331156,709894,-1,-1,311004,-1,791117,-1,731863,675763,574668,92737,-1,-1,-1,442292,-1,661182,22624,828191,-1,-1,788949,444320,440011,956907,-1,-1,820252,-1,486350,229425,443052,-1,399137,-1,-1,-1,-1,-1,-1,290556,760166,-1,-1,245607,88993,78148,-1,628781,-1,443817,473996,-1,111916,-1,-1,-1,472323,569541,-1,688419,42231,411192,-1,-1,620557,869797,-1,779835,992943,273889,-1,-1,-1,561736,530715,293014,-1,406397,-1,-1,-1,369565,-1,-1,77458,-1,-1,381656,499286,876267,935473,-1,48862,432243,-1,185295,-1,384449,-1,-1,-1,-1,52734,-1,346728,318714,-1,220205,418793,602414,844426,740621,-1,143531,998263,-1,-1,354309,670353,-1,203256,-1,529666,-1,-1,543011,-1,-1,1619,-1,-1,687534,-1,-1,-1,-1,-1,-1,95968,518957,-1,-1,860101,357671,-1,-1,40650,977982,-1,-1,799367,892401,-1,-1,-1,-1,-1,373324,-1,-1,868978,730910,-1,-1,696797,-1,703737,185887,-1,45060,354599,-1,-1,833164,-1,590620,936140,635266,-1,-1,-1,-1,-1,-1,196701,-1,-1,-1,-1,-1,468223,-1,240028,94295,316691,-1,-1,-1,-1,574411,-1,-1,70219,-1,180868,16834,-1,157839,506586,397591,-1,705885,-1,175936,130654,763588,-1,53062,587862,93176,211455,-1,-1,-1,911292,-1,-1,-1,395880,-1,657012,-1,-1,806293,-1,-1,-1,178303,-1,-1,90138,8273,-1,43069,760635,-1,591195,-1,778977,-1,939424,398472,-1,-1,495679,948972,-1,-1,889159,-1,67998,155398,-1,500071,214515,9218,-1,-1,258149,194285,2968,-1,182840,604152,-1,890099,880788,-1,847447,-1,-1,-1,12838,335842,-1,-1,880846,-1,95634,-1,11577,779917,-1,818293,-1,916672,852826,477364,91961,781176,731881,-1,699265,3327,-1,169960,533486,167928,-1,-1,-1,-1,901788,-1,211334,727067,-1,68396,-1,-1,401007,844331,449120,82073,771008,-1,-1,-1,-1,793302,-1,966121,-1,52744,-1,970175,-1,92870,-1,-1,-1,291550,-1,696313,49666,-1,-1,-1,-1,337345,149112,917413,-1,-1,-1,364900,-1,-1,758632,691830,508903,195526,499558,648633,253087,927603,-1,-1,795482,259817,-1,-1,-1,-1,-1,-1,612980,-1,-1,251480,476580,-1,816255,-1,2380,659838,-1,-1,-1,230463,-1,473875,606290,150364,720384,-1,615739,351976,-1,-1,738597,862757,319154,-1,737036,992694,-1,661553,92758,929369,164909,-1,-1,-1,848770,954192,166007,-1,-1,408212,247312,767295,710156,-1,932855,-1,798194,145797,708390,-1,910149,910268,727792,493735,785388,-1,-1,871354,-1,788278,-1,-1,-1,245656,333946,891451,-1,272216,51453,-1,-1,351687,609258,-1,-1,757430,736300,-1,-1,-1,413697,-1,-1,-1,-1,662935,-1,580331,-1,-1,-1,-1,930188,-1,225584,74078,-1,920717,476828,181849,667225,-1,841510,40196,619838,876850,7919,-1,-1,833607,934919,63960,969446,-1,-1,946425,764573,563629,101726,-1,-1,-1,-1,-1,-1,-1,-1,384620,300966,341206,969768,-1,-1,-1,-1,-1,943429,156207,356572,-1,-1,-1,-1,-1,-1,-1,592850,939021,-1,-1,-1,-1,-1,96578,555116,63878,428360,204594,386048,679603,-1,452115,-1,-1,625523,-1,460045,385716,-1,-1,-1,828355,86932,-1,-1,247035,612671,745347,38295,586518,773123,-1,553637,-1,-1,-1,-1,371667,-1,762669,-1,767876,-1,480982,900902,-1,-1,19573,861307,900344,773889,267998,556040,898273,597958,-1,298330,562119,-1,92467,-1,-1,143687,-1,455103,87722,-1,-1,223141,-1,626353,559394,624894,-1,766610,208548,54300,-1,26645,-1,871581,633556,399329,-1,-1,-1,141551,778278,431102,853406,969789,268460,881189,994771,31394,-1,157944,-1,137250,-1,-1,145723,688827,305988,528690,-1,810721,-1,944578,291091,-1,369715,847133,-1,-1,739050,486907,-1,-1,36978,-1,-1,716187,-1,535089,-1,-1,812597,306894,38167,480228,-1,440135,148756,-1,377007,75662,-1,443544,-1,-1,107126,-1,838785,-1,285095,-1,-1,-1,-1,859216,836482,181088,605068,-1,94032,-1,-1,-1,-1,837414,517979,224877,-1,11742,-1,-1,835834,127596,374161,67060,-1,-1,-1,791279,-1,831870,739265,745626,71905,26775,838298,-1,621382,-1,407852,65461,-1,-1,753076,994215,651694,-1,156366,508526,-1,323888,447747,228421,-1,658797,-1,46991,-1,-1,311488,742204,-1,586603,761607,657302,216031,-1,-1,-1,195159,-1,-1,-1,-1,755975,887180,-1,807629,-1,-1,-1,882235,141428,-1,-1,-1,446052,-1,655942,129023,-1,-1,243057,187810,616213,-1,-1,-1,691682,154084,263705,867609,-1,-1,-1,-1,-1,-1,-1,473251,409993,-1,473001,-1,67051,367366,531858,-1,-1,701114,71177,746811,-1,-1,-1,454756,964580,999200,-1,-1,-1,-1,-1,472628,592649,-1,329454,933924,-1,171016,-1,-1,-1,51195,-1,865103,-1,-1,-1,-1,-1,-1,-1,485572,-1,-1,-1,-1,-1,-1,837080,879516,762755,-1,-1,453592,-1,551229,991940,41234,532263,-1,882985,-1,418260,-1,-1,-1,-1,-1,750436,-1,89830,-1,-1,-1,358160,-1,608125,822025,-1,207317,812204,884282,-1,858224,363529,306061,-1,165556,643211,-1,29989,-1,-1,-1,-1,483439,799479,-1,-1,658385,-1,945219,-1,-1,326840,169875,-1,-1,-1,466601,-1,560862,-1,-1,849934,858813,582206,-1,-1,-1,-1,-1,738734,88518,690780,-1,-1,-1,-1,524595,-1,258143,558457,926193,-1,866858,-1,32032,478504,-1,519754,-1,-1,79453,-1,899075,882525,-1,-1,-1,-1,396823,-1,860421,169180,-1,-1,99959,482660,-1,-1,-1,-1,-1,173859,48117,-1,336947,-1,180875,435639,825611,96208,638727,976210,-1,-1,-1,-1,423770,315895,-1,561991,-1,-1,-1,-1,95016,731354,-1,771692,-1,361921,936267,-1,454664,-1,872119,531062,-1,-1,-1,558354,-1,192683,-1,669683,986304,-1,149861,265267,576181,302771,718192,-1,189977,-1,-1,-1,351305,120603,-1,31584,-1,850684,-1,-1,32717,-1,319960,994800,-1,966461,836227,-1,-1,767170,494466,-1,173927,264082,829916,-1,-1,774979,-1,-1,619358,-1,617989,902522,-1,-1,-1,619621,-1,-1,995881,-1,-1,-1,-1,-1,-1,92687,-1,-1,905726,-1,330004,589587,-1,119723,604225,-1,463667,52310,446140,-1,387332,743491,518593,-1,768468,209963,-1,-1,-1,904065,-1,-1,-1,30047,-1,534678,90472,936887,155395,565144,-1,103143,55622,-1,561121,-1,627194,911214,-1,-1,862894,109823,-1,796481,-1,498411,-1,890315,-1,-1,-1,-1,-1,163087,-1,-1,779871,-1,421343,551048,748840,787394,742038,-1,468332,308811,645037,-1,965759,648027,45674,-1,-1,954940,-1,-1,732925,-1,-1,-1,-1,992275,480948,-1,-1,374224,-1,654423,42570,737396,791687,568213,-1,-1,833269,-1,29093,724385,-1,349139,480891,-1,-1,-1,369465,881784,320389,84297,49260,370977,-1,637484,759224,-1,-1,-1,-1,276657,756959,-1,-1,-1,494087,59335,351215,-1,800651,288645,396294,-1,196674,-1,65988,721315,876097,-1,314851,-1,900840,-1,364498,851784,728703,97507,330947,-1,785273,-1,-1,-1,-1,681821,618022,673000,256535,527595,52507,-1,953106,705188,-1,197141,-1,846234,-1,-1,-1,-1,438308,426193,88383,700605,-1,-1,7156,-1,351833,401711,84986,-1,-1,-1,14992,-1,269674,-1,123938,693203,-1,747120,-1,261094,-1,678727,521614,-1,109140,705105,59801,-1,858566,16523,917623,472347,540733,-1,723968,246226,829865,-1,624753,878664,-1,320579,-1,-1,-1,398121,213420,-1,932968,-1,193863,235725,251661,13362,-1,910087,259575,376080,322554,-1,731275,638544,-1,-1,927907,-1,-1,404931,-1,-1,-1,413642,-1,-1,-1,719597,348420,610968,-1,-1,-1,632079,-1,-1,-1,-1,-1,-1,365716,375277,861957,491412,-1,-1,136916,-1,706065,-1,-1,255815,871667,719367,105011,554676,-1,620876,-1,-1,-1,289364,-1,-1,591658,35524,319122,-1,-1,-1,-1,-1,-1,823836,-1,-1,-1,-1,124378,-1,275178,867354,-1,365225,-1,730541,607451,-1,222693,48877,507695,-1,702424,-1,-1,-1,-1,246576,-1,-1,-1,-1,630229,811177,609227,-1,-1,871596,-1,-1,-1,-1,729275,498066,-1,-1,806913,106639,-1,549012,40799,129489,271652,-1,-1,718634,332680,-1,-1,-1,-1,-1,509835,-1,669174,-1,629593,-1,101953,478237,-1,56280,-1,666246,35286,-1,564845,-1,150971,-1,-1,881009,906915,-1,51408,-1,-1,-1,306346,566384,-1,780010,631883,-1,282969,852355,-1,742378,997852,-1,-1,123008,151614,-1,4452,30965,341235,760576,-1,216835,-1,352820,774231,-1,670916,956095,758219,-1,-1,-1,937908,-1,-1,-1,96325,847970,535792,-1,-1,984901,550346,344637,824046,903787,-1,-1,485609,279479,-1,-1,267702,87990,-1,-1,973293,372753,-1,987755,69621,-1,839530,-1,-1,674665,-1,637822,147245,-1,-1,641858,981942,838167,467674,170184,528548,350564,-1,-1,686181,814386,188774,-1,716692,-1,-1,401103,-1,-1,-1,-1,790468,401812,-1,653059,-1,-1,23331,607835,-1,128543,309175,917945,330413,580356,855142,741565,-1,735031,-1,-1,943250,-1,453285,714042,-1,-1,-1,-1,-1,636206,-1,825799,480115,424645,250173,552552,-1,-1,396802,952505,907181,201885,-1,357262,362194,-1,-1,-1,73203,-1,-1,526998,752358,-1,641636,411027,-1,457236,-1,97771,-1,590604,300792,360677,312153,563957,19761,180942,-1,-1,-1,851130,-1,441694,94607,-1,342360,906894,-1,539096,421624,-1,118637,-1,178619,-1,-1,815196,-1,-1,-1,-1,-1,-1,-1,783946,57138,983842,-1,181567,-1,311536,639557,-1,644234,969524,-1,-1,672925,720612,609014,317441,-1,-1,236187,-1,-1,199190,89990,-1,-1,-1,728182,-1,-1,874237,350398,922997,-1,290045,170802,960478,-1,-1,-1,-1,-1,494632,697336,402307,385598,-1,-1,-1,-1,487971,-1,408686,362021,-1,606877,651757,579983,-1,-1,81906,442902,-1,266793,-1,-1,688006,405897,358084,563173,-1,428400,-1,540439,463214,565272,-1,842467,-1,-1,551669,-1,-1,980703,425241,-1,-1,164339,782470,645552,712982,138197,-1,-1,-1,45769,-1,-1,845951,807674,412055,458161,-1,952383,-1,-1,712382,-1,198381,-1,510765,868515,137575,-1,125327,301372,-1,-1,-1,213517,-1,-1,-1,-1,-1,940986,-1,-1,661284,-1,76444,-1,254160,674938,400932,338059,-1,411159,-1,-1,451304,-1,-1,892553,-1,-1,-1,543670,-1,962384,19922,-1,938249,741730,94218,569281,77756,711305,-1,447323,-1,-1,-1,-1,-1,550325,-1,944815,411612,-1,-1,-1,81843,-1,239054,505918,476563,265930,-1,-1,-1,151113,-1,-1,939997,670397,776933,-1,491143,-1,403353,-1,-1,-1,-1,486993,758502,706231,43150,231064,-1,-1,745853,204097,-1,30783,-1,-1,899532,630484,-1,691421,-1,367849,-1,-1,120875,143755,751060,153525,-1,185940,-1,-1,717842,-1,671758,819815,-1,-1,-1,121806,-1,455831,651988,901299,-1,-1,966415,20366,423515,-1,-1,-1,767068,-1,-1,-1,-1,-1,612548,570633,961574,-1,914426,462372,842605,83408,-1,310580,-1,-1,190304,-1,693868,546668,929982,-1,749019,151295,882307,-1,-1,388584,746618,73657,-1,-1,196934,-1,-1,-1,727958,-1,801660,-1,269310,-1,676297,-1,-1,547170,222578,928017,28053,61988,971259,772913,715257,-1,-1,436249,-1,-1,543578,-1,-1,-1,-1,-1,-1,842887,-1,-1,-1,-1,737542,171684,124468,-1,74470,-1,548316,111980,-1,-1,344630,-1,960961,-1,775657,-1,-1,-1,29412,303513,-1,-1,15654,-1,762919,10887,-1,824922,-1,-1,-1,-1,132622,-1,-1,-1,467034,21725,104298,423747,895827,-1,-1,504820,-1,-1,-1,591642,-1,789036,-1,978595,-1,-1,883374,748779,-1,107456,-1,645736,21775,-1,578567,140081,330710,-1,457781,-1,-1,-1,-1,-1,-1,41423,275215,-1,-1,144185,985293,262211,898716,145293,212182,-1,468412,891231,370872,339049,-1,590550,-1,288659,626675,-1,-1,522151,956422,-1,279036,-1,456397,643049,27546,563520,437597,-1,-1,955235,837039,734401,73404,10345,-1,-1,-1,127096,-1,712487,-1,-1,250695,513055,-1,269620,100742,-1,-1,-1,997508,-1,-1,919166,653273,484216,-1,625971,-1,367488,401018,-1,956546,155484,-1,-1,155367,701108,-1,916584,-1,-1,574729,-1,-1,-1,-1,188014,-1,-1,210341,-1,-1,360894,-1,641529,504304,-1,-1,-1,-1,504583,-1,-1,28816,-1,333200,-1,-1,318841,378281,966776,-1,810325,434162,-1,-1,-1,-1,139351,211715,290506,-1,-1,245770,-1,407130,-1,909428,706993,46742,-1,-1,597782,-1,557688,-1,807418,-1,-1,193852,-1,372030,291968,712908,495510,849789,28981,816026,636860,60,-1,719517,-1,789440,-1,-1,882303,395562,896070,-1,-1,-1,577220,-1,672926,925093,840082,-1,819108,616875,401846,-1,-1,138110,828305,480806,377641,10648,-1,314725,297319,336951,520120,-1,-1,-1,322394,-1,-1,530889,140898,-1,64279,372567,802566,846246,382536,103053,-1,199367,-1,215845,-1,-1,-1,987525,-1,284648,238677,283803,-1,-1,185813,37618,-1,-1,456108,-1,358339,17918,47406,416084,680078,-1,-1,483002,810965,-1,124182,-1,-1,-1,588615,375711,-1,854576,-1,879467,-1,-1,176882,940906,33737,128696,-1,87250,-1,-1,491600,-1,-1,350763,554687,560410,-1,-1,255321,408499,759536,150245,-1,523147,43409,-1,-1,-1,299088,144194,222789,67549,361289,-1,199008,-1,-1,781295,-1,321811,-1,-1,727983,519145,123528,-1,-1,201290,998746,-1,-1,-1,-1,-1,356132,823658,-1,-1,-1,132337,542427,814173,217030,182432,-1,20258,107291,-1,649770,358898,-1,-1,-1,-1,748901,-1,373559,-1,-1,-1,-1,938492,-1,-1,-1,461150,740737,432107,-1,537218,538574,182530,-1,239341,924707,-1,730266,-1,-1,929415,-1,-1,125098,-1,925004,-1,804154,212412,512320,705653,-1,722319,719865,-1,-1,-1,-1,671019,-1,704497,-1,350236,343122,724817,506146,624921,-1,-1,-1,-1,983337,891513,-1,-1,121393,641738,903328,373170,519621,811782,-1,-1,-1,965292,-1,183325,-1,360963,85064,552929,169023,950148,562167,995735,-1,-1,786643,998088,733583,-1,-1,489577,-1,67145,393360,-1,489602,564134,842988,-1,735144,-1,732000,-1,930793,551211,89742,689172,-1,-1,-1,-1,951597,-1,513258,-1,267272,126840,463315,21597,165081,749395,-1,117676,391761,805310,435149,-1,-1,473769,-1,23669,-1,169498,-1,298532,-1,770876,29540,-1,243375,-1,-1,-1,-1,-1,-1,-1,278583,-1,-1,870862,-1,30798,939069,303724,907227,-1,-1,905638,-1,306410,598727,-1,577725,-1,-1,812209,934585,761660,917836,-1,68954,789948,315155,-1,747899,-1,804388,-1,344325,-1,143358,-1,-1,54731,884856,567897,303102,-1,-1,-1,455569,192408,-1,-1,970040,477012,-1,628088,-1,-1,-1,-1,-1,133755,-1,-1,853336,988420,825906,-1,-1,-1,-1,-1,777943,-1,-1,-1,597381,-1,-1,-1,768879,863373,-1,710264,-1,-1,863680,583290,-1,-1,-1,-1,677276,60016,980844,813727,692908,399273,-1,239475,-1,263558,544794,-1,-1,-1,878574,857459,-1,-1,199330,-1,192330,580597,655337,-1,-1,964479,139553,-1,537237,504050,544528,-1,201406,226845,-1,993088,-1,-1,959557,495397,408005,303774,-1,36743,-1,-1,-1,-1,-1,-1,-1,311749,-1,-1,954247,-1,-1,90058,650160,-1,398207,-1,573696,529967,-1,-1,324579,-1,-1,-1,314689,-1,274822,-1,816322,478286,112839,-1,-1,-1,337166,-1,932924,-1,-1,560092,541993,-1,-1,526028,-1,-1,748113,150565,-1,-1,-1,-1,-1,-1,981703,-1,-1,851900,-1,281364,-1,-1,586029,326627,-1,994003,-1,-1,933699,344963,-1,951958,-1,526349,-1,525368,-1,-1,-1,808266,-1,319245,-1,-1,651786,-1,-1,-1,434992,-1,-1,143214,819488,16999,984420,857488,-1,200080,-1,412646,-1,-1,-1,88961,-1,410005,-1,947065,2793,-1,-1,-1,-1,-1,-1,-1,-1,-1,414904,730417,-1,785373,931981,-1,-1,84583,348399,-1,-1,452193,594946,-1,40833,-1,-1,-1,-1,-1,583058,73524,134697,-1,-1,875973,152112,747997,294733,298608,-1,352392,-1,-1,291817,-1,642279,299694,575654,408959,778302,88206,-1,-1,-1,-1,-1,-1,-1,721784,653575,-1,116185,-1,-1,-1,-1,-1,-1,189459,486195,992255,-1,325783,457050,727552,60056,63141,319533,772874,588226,-1,850772,-1,-1,160489,100089,892716,952272,-1,-1,951637,686738,295867,-1,-1,675863,-1,-1,-1,681296,-1,-1,-1,-1,-1,-1,-1,105501,947326,238682,-1,44553,-1,-1,833555,815628,-1,973649,486702,-1,23207,838547,-1,937728,-1,766694,302531,-1,960803,115641,147910,-1,870428,100104,37017,-1,-1,583622,-1,930968,-1,-1,-1,564194,821379,-1,712636,-1,327461,685919,-1,-1,-1,-1,-1,615636,680212,695377,-1,598812,854112,-1,963997,460204,74759,837801,477909,-1,99717,-1,884246,-1,-1,532439,-1,528416,-1,798993,275056,440417,-1,-1,-1,921470,-1,864723,298669,864822,-1,955089,-1,725984,-1,653328,-1,-1,-1,461536,-1,-1,10717,-1,-1,236141,-1,500403,638958,732848,-1,47340,-1,927960,-1,641192,-1,303363,-1,478374,882924,451652,-1,637240,-1,720403,-1,-1,889249,-1,655006,90423,-1,189760,-1,978921,-1,861071,878243,-1,-1,-1,939096,993914,-1,932083,745387,555229,80805,454016,-1,908668,-1,900068,936727,617615,-1,692006,-1,-1,-1,-1,-1,798677,595497,-1,-1,34766,-1,82710,607173,-1,-1,-1,-1,71545,866794,210261,-1,-1,86570,139204,622493,-1,-1,-1,-1,-1,-1,-1,564140,-1,-1,52277,496211,-1,882464,-1,-1,-1,953470,-1,781902,-1,-1,955463,404127,-1,656311,670788,414773,232987,-1,164441,444813,313013,560574,197844,202207,-1,187995,55711,223398,564253,669445,101783,680308,596561,-1,402096,181400,996366,-1,-1,644429,472257,-1,-1,428589,563111,-1,-1,808107,935437,-1,-1,853131,-1,-1,800080,-1,493044,-1,883679,600903,-1,502685,-1,-1,-1,-1,-1,-1,88098,-1,-1,-1,686792,-1,-1,610000,900211,990019,-1,264818,-1,832354,-1,-1,415484,-1,857682,138525,-1,813177,-1,-1,195457,788891,931190,932624,-1,-1,-1,-1,402336,109995,746148,325024,802745,-1,247406,648977,-1,-1,715585,-1,-1,-1,982801,580505,259567,-1,-1,437698,412108,-1,-1,296859,303847,3822,766861,-1,-1,686585,678582,-1,629268,-1,10076,778169,984465,-1,-1,-1,849200,544423,-1,-1,69496,-1,129240,-1,957429,171787,-1,208249,616684,816848,-1,-1,-1,-1,438553,-1,402579,889689,239952,-1,16469,-1,834881,-1,157338,521559,308900,803004,886452,-1,122585,-1,766493,790152,-1,614159,420773,-1,-1,586387,-1,845759,-1,-1,-1,439633,-1,-1,-1,-1,-1,92338,661193,569736,498010,-1,253301,742185,-1,651591,248401,-1,82795,150378,756731,963831,-1,132828,116735,154931,117467,793752,169525,68952,-1,605616,103727,430496,-1,-1,-1,906573,953107,114749,261900,-1,-1,-1,814156,-1,651986,858673,-1,402085,-1,513420,656980,-1,748622,430956,490359,28685,881268,-1,907612,603737,807014,-1,-1,65532,914675,666837,-1,931567,-1,969440,-1,-1,-1,-1,312492,-1,-1,370772,557583,-1,-1,-1,756871,-1,-1,941472,-1,-1,678505,-1,937797,152402,-1,-1,580323,47308,-1,-1,747236,-1,5691,-1,234431,-1,516231,-1,-1,-1,609260,255255,-1,-1,825294,362818,519936,-1,369268,-1,-1,624796,-1,-1,887476,784872,671927,-1,275102,-1,752154,-1,798953,630203,3714,-1,-1,502842,570191,633074,752056,-1,586844,-1,386963,-1,-1,714030,371426,811816,564368,673197,604920,-1,-1,186861,715547,178750,278568,401580,-1,313723,182210,-1,-1,376714,-1,222606,-1,650175,697419,-1,-1,513020,139445,-1,8594,-1,210356,-1,-1,-1,-1,544482,-1,-1,679344,161254,-1,-1,-1,576511,-1,-1,327427,556378,-1,-1,220768,-1,72170,-1,-1,818051,896834,972242,-1,-1,623104,170288,536859,-1,650459,-1,-1,-1,98109,-1,422256,-1,-1,726189,773699,300616,879374,-1,241283,-1,-1,-1,773242,133233,-1,747847,778073,544179,703289,-1,663221,338242,189482,-1,-1,601515,850757,951337,640326,-1,637192,-1,795154,668390,70996,482262,-1,100223,88793,239478,648483,-1,382989,78699,221921,643712,-1,-1,50281,-1,639246,401570,369579,265192,259399,789652,-1,-1,623813,13293,-1,669329,839147,680186,949476,-1,52300,889394,-1,144493,-1,-1,10070,651430,-1,-1,754897,719065,-1,-1,82339,494631,106466,930198,-1,-1,-1,180676,12502,-1,-1,440980,349817,291499,-1,-1,276948,-1,719512,711044,-1,494756,-1,127444,-1,-1,880109,-1,-1,-1,525617,-1,632460,877557,-1,352118,768413,-1,747751,453671,-1,-1,530933,997055,-1,-1,-1,-1,42839,806014,621403,-1,749200,523117,-1,844696,249587,614216,215679,-1,880355,899893,343543,537531,928988,-1,-1,-1,247515,35220,277771,-1,516683,-1,-1,-1,627669,-1,-1,-1,-1,-1,330462,-1,-1,-1,188360,-1,-1,674462,-1,-1,755567,491104,-1,897459,827954,-1,496178,564408,222406,736940,-1,568036,-1,362573,-1,-1,799242,-1,329120,-1,-1,-1,907107,-1,-1,736791,838834,-1,-1,24536,106535,-1,855111,-1,167166,-1,-1,-1,583632,455603,80839,-1,-1,516201,-1,875923,626843,880031,617590,119921,-1,-1,-1,-1,336413,318811,-1,-1,-1,911172,37592,-1,-1,-1,-1,262182,-1,437790,33570,659952,-1,-1,-1,930562,-1,-1,90353,-1,554567,148302,641839,-1,234025,-1,-1,-1,-1,820736,-1,722336,-1,623515,23181,775390,256094,320312,-1,-1,-1,404840,-1,-1,918677,-1,837886,-1,255438,366899,485820,317638,-1,476603,-1,574085,-1,944105,884006,809075,-1,-1,40442,-1,-1,636643,-1,920272,507257,906761,892729,-1,-1,969261,-1,-1,-1,905345,-1,-1,153460,-1,-1,-1,-1,207032,169918,-1,177064,-1,-1,42692,-1,-1,-1,-1,352913,372426,433559,-1,-1,-1,779346,356817,153096,-1,305140,653168,-1,-1,-1,60665,-1,871101,518801,377886,121430,-1,-1,643859,479417,-1,-1,-1,-1,-1,770536,430126,-1,-1,-1,-1,16730,-1,-1,-1,-1,-1,-1,145999,-1,911308,541317,-1,298893,-1,185145,-1,-1,-1,337535,-1,-1,65452,727393,522803,-1,385148,-1,-1,-1,-1,-1,822903,-1,993169,246812,-1,533422,-1,390554,789419,-1,-1,526371,-1,-1,723625,-1,69493,-1,-1,-1,-1,581764,643396,-1,553988,-1,-1,-1,-1,823231,-1,458301,-1,-1,85562,-1,431867,35157,-1,-1,968321,-1,-1,-1,753637,-1,-1,867395,746235,309554,-1,-1,178927,302619,-1,-1,416577,635363,-1,-1,-1,-1,-1,-1,-1,-1,937066,189010,-1,592210,-1,-1,-1,-1,184080,819042,548308,601598,-1,-1,-1,-1,776943,100829,96524,515238,-1,-1,-1,491752,-1,688559,-1,498061,878424,888286,365813,-1,-1,-1,-1,537729,-1,24131,977001,234076,83429,-1,901380,884095,-1,848134,233384,641267,-1,484689,-1,-1,-1,331373,-1,711688,-1,456259,296355,39919,260090,645372,-1,204826,708607,-1,-1,-1,932865,701427,-1,-1,-1,564281,122494,-1,-1,-1,307394,-1,487522,194904,61160,152165,-1,2495,429871,956047,401807,-1,282074,-1,352821,905527,991458,-1,184501,243652,-1,-1,435375,-1,287605,-1,-1,-1,797711,-1,55502,169321,81651,-1,-1,-1,76699,-1,600933,401353,-1,-1,149945,-1,-1,505190,341886,-1,-1,-1,371021,676173,199137,-1,740330,403748,-1,-1,-1,-1,494859,-1,-1,297175,147606,-1,-1,-1,-1,307452,-1,-1,-1,95636,-1,841373,722220,383626,937901,537845,695790,-1,581973,-1,-1,938191,901853,-1,-1,-1,780121,102307,66533,686594,879884,-1,574713,-1,-1,-1,-1,-1,969250,-1,599417,-1,609289,78336,504947,372884,499431,-1,226831,44648,-1,-1,719183,29425,-1,-1,494955,-1,225325,-1,100055,800048,-1,481361,-1,-1,538599,-1,596171,318666,177656,545913,223232,404995,455180,529578,841130,-1,-1,-1,-1,574082,-1,-1,-1,-1,128167,723262,-1,-1,-1,951316,-1,-1,726919,-1,-1,720979,-1,-1,810839,-1,-1,940235,420180,593907,-1,-1,528591,-1,-1,623275,910098,-1,631304,-1,964060,652278,-1,230125,-1,299943,868511,609123,324806,-1,-1,304416,-1,452190,-1,821362,244219,385296,285744,657374,-1,912692,-1,224494,-1,398230,926136,-1,-1,-1,-1,469885,441935,-1,934760,293460,895895,-1,763430,585152,-1,892109,872611,-1,-1,680538,-1,60640,512229,223013,-1,-1,-1,963478,-1,660288,701869,544220,-1,983246,-1,-1,-1,98934,211534,-1,456696,-1,-1,968233,-1,-1,-1,772128,414308,576775,141949,552252,-1,702217,129601,-1,-1,484092,-1,533927,-1,-1,-1,-1,419760,184455,120425,-1,-1,-1,-1,359154,-1,984675,574811,704283,-1,-1,-1,-1,-1,-1,823119,-1,527999,641260,-1,-1,-1,955939,691731,-1,-1,-1,172825,704866,172245,335626,-1,-1,-1,102551,728661,-1,638473,440548,-1,-1,781333,235817,811115,57891,-1,990874,-1,-1,-1,-1,32294,-1,499604,602950,58293,206008,314799,91728,853416,425889,405807,-1,331071,992585,869102,258713,426247,-1,105670,-1,-1,-1,735714,-1,979515,122408,-1,-1,-1,-1,356575,622764,-1,862576,-1,473832,12731,570239,-1,519006,53130,480965,-1,372743,-1,932775,886436,421223,-1,802290,660285,537911,102524,-1,-1,146461,950788,85707,270616,427012,201629,-1,631406,-1,244074,63392,5803,-1,485772,-1,604915,451437,951823,-1,-1,17359,165741,714758,381964,575994,-1,630983,-1,751723,-1,151490,-1,-1,98324,280984,-1,-1,-1,-1,-1,-1,-1,670852,127871,-1,-1,-1,-1,-1,-1,724972,-1,288364,-1,26296,-1,447670,735439,-1,-1,-1,898801,848282,334833,-1,778095,670149,336514,-1,-1,-1,-1,472164,266815,668645,-1,181242,-1,-1,943058,375453,-1,435060,954470,275465,801788,335213,215923,-1,477723,-1,-1,-1,427258,402802,922016,573007,660634,502052,-1,412791,307865,711021,435894,141679,318722,281413,-1,-1,-1,-1,-1,806326,25233,-1,-1,139632,-1,-1,-1,-1,386181,-1,323894,167799,473981,-1,570100,155814,42211,980346,480673,-1,-1,-1,-1,-1,110346,362694,-1,-1,951104,-1,-1,-1,-1,-1,979640,-1,-1,53680,-1,872054,931276,403152,-1,609613,-1,887327,-1,965556,499430,-1,776978,643219,391811,481279,182388,-1,-1,-1,-1,-1,200118,604310,-1,132904,-1,-1,-1,546172,-1,-1,848623,12800,579468,85766,-1,-1,121902,-1,167888,-1,-1,424006,344717,878565,-1,516192,-1,858242,-1,585543,257339,-1,942542,437258,-1,969258,156608,468661,872614,495282,517869,140117,-1,-1,-1,-1,-1,442581,324486,720223,109929,204600,-1,832058,390181,-1,-1,-1,352902,-1,923943,933990,24929,-1,-1,314435,689801,898794,272204,-1,191018,-1,-1,676809,772494,549761,-1,-1,-1,911987,808094,-1,-1,-1,-1,177023,-1,-1,-1,116593,958197,-1,-1,-1,-1,-1,812083,-1,-1,-1,-1,-1,-1,446566,-1,68799,-1,704450,949508,-1,-1,434486,-1,640588,-1,-1,-1,745713,-1,471616,541781,794957,551223,-1,-1,-1,-1,104843,38117,-1,-1,-1,-1,200927,883829,972016,936516,-1,13407,-1,572001,821026,-1,355607,505170,838076,-1,976154,909627,734988,-1,43633,808896,665890,246191,-1,159197,-1,-1,-1,-1,572566,846801,724566,88482,-1,-1,-1,-1,-1,-1,-1,-1,644868,-1,852403,892197,-1,-1,987856,-1,-1,-1,590911,604149,445927,665630,994410,-1,199804,920008,979823,-1,-1,530649,-1,501691,-1,380545,-1,-1,592165,809119,86417,-1,211370,236840,271624,701351,-1,-1,-1,-1,548873,-1,-1,-1,-1,-1,916183,399979,274528,559702,-1,-1,108659,11562,682119,-1,-1,-1,65250,-1,586845,874613,-1,703587,244349,-1,-1,-1,-1,469848,489151,-1,-1,-1,324701,-1,925142,-1,156801,-1,-1,830656,290208,261670,691216,-1,-1,-1,-1,610030,-1,451301,434400,-1,-1,-1,541196,511826,97837,364899,-1,-1,756445,-1,-1,-1,-1,766893,-1,748203,444477,634387,127522,121432,811230,-1,574745,-1,-1,-1,-1,806605,-1,-1,88963,-1,920532,-1,467858,650969,-1,762915,-1,-1,44479,983886,207397,-1,905370,-1,161894,-1,-1,696068,-1,-1,-1,343785,25813,-1,-1,246255,10079,-1,124767,816623,455711,-1,42503,888548,124462,-1,917433,-1,110822,-1,-1,306681,-1,-1,413515,209818,-1,920938,-1,937902,297419,-1,612842,-1,-1,-1,331848,35470,448544,573325,178605,843207,186443,613558,299855,516390,-1,-1,23423,661654,374394,562713,-1,-1,-1,353554,-1,-1,33635,930661,931564,-1,-1,899897,854459,-1,64080,-1,535216,829725,40750,-1,-1,-1,-1,524712,891657,-1,-1,463599,-1,527222,526268,-1,707801,822196,441584,-1,914687,564984,98850,-1,-1,-1,-1,846926,833214,-1,-1,-1,-1,573057,949121,729405,-1,697223,-1,-1,-1,308114,961631,-1,-1,-1,-1,14664,589848,-1,499703,260860,-1,771691,-1,233081,-1,-1,-1,-1,-1,-1,717076,-1,-1,-1,911530,822685,-1,97688,-1,360623,-1,37512,666910,-1,-1,834959,-1,828511,50950,699835,-1,-1,950556,888531,555150,-1,-1,-1,-1,867709,-1,-1,635555,-1,-1,732434,-1,473489,-1,658163,-1,441167,-1,-1,-1,861853,-1,-1,870445,-1,830914,612177,145805,394174,-1,549470,-1,376797,-1,914225,-1,-1,765656,528280,683023,-1,-1,380343,-1,-1,695894,-1,-1,-1,-1,-1,-1,502481,-1,-1,-1,822310,570862,-1,-1,634541,-1,-1,491302,927950,-1,114678,-1,-1,189623,159687,-1,531849,-1,-1,953544,428596,552861,465042,-1,253976,284096,-1,-1,-1,335498,-1,424603,-1,-1,132423,54921,-1,-1,-1,353014,-1,447598,19799,606162,-1,-1,-1,566410,-1,-1,-1,-1,-1,-1,254362,227539,773149,257444,-1,316463,691839,824047,153046,311557,162149,423666,-1,368639,459062,-1,-1,381216,-1,526776,-1,-1,-1,-1,-1,479493,366446,-1,-1,543485,-1,95647,-1,-1,95484,-1,-1,950106,97282,-1,197195,-1,-1,-1,819283,-1,-1,207559,-1,-1,-1,-1,-1,936176,906957,12120,-1,23758,-1,-1,-1,-1,810745,-1,585363,560130,-1,-1,-1,-1,971046,310491,-1,-1,-1,-1,19319,-1,-1,993231,-1,476883,212213,60315,-1,221268,855046,847568,812378,152063,-1,947313,308203,-1,-1,-1,179260,-1,605144,417654,954844,-1,-1,-1,-1,-1,939067,471140,611665,-1,238739,-1,-1,334287,436514,374830,-1,138526,259924,597219,-1,711248,761424,-1,516256,-1,505497,391547,-1,235019,-1,454420,-1,133983,619886,-1,417597,-1,-1,1802,533192,-1,781628,546753,-1,-1,-1,586385,-1,903334,196850,157213,473168,-1,348050,418117,-1,-1,122805,714321,-1,-1,-1,-1,-1,367460,470623,860395,409967,-1,-1,596133,-1,-1,540507,-1,373354,-1,-1,811096,-1,-1,684785,300372,442997,628875,-1,-1,564111,-1,-1,222491,565551,320491,-1,168843,-1,-1,-1,358405,-1,-1,277350,-1,841349,244940,617917,-1,-1,-1,495811,541242,-1,-1,252449,535959,401040,-1,-1,-1,977668,-1,487256,791367,-1,-1,7541,-1,970358,-1,-1,403033,-1,671320,43075,-1,-1,-1,700911,662752,-1,-1,796498,-1,-1,-1,-1,-1,345594,-1,-1,-1,677734,-1,-1,-1,-1,-1,913736,-1,409942,-1,-1,-1,-1,-1,30565,391358,693726,-1,-1,-1,-1,19044,108698,-1,-1,783137,455113,-1,156415,996575,-1,390493,-1,-1,780609,-1,476631,173832,444856,693079,262230,-1,-1,-1,497132,-1,-1,-1,623863,380457,-1,-1,640685,692160,429887,588185,-1,-1,-1,-1,-1,463475,204565,528763,-1,-1,857353,-1,-1,-1,-1,491596,-1,627755,-1,-1,-1,6392,-1,-1,-1,-1,536623,552309,-1,485514,478561,-1,501714,438654,-1,-1,-1,-1,-1,-1,-1,-1,913100,886863,851219,238256,-1,696819,-1,-1,323122,-1,-1,-1,677775,-1,979894,169702,427868,-1,664278,442549,577666,-1,-1,-1,180691,259479,138424,-1,-1,590823,-1,-1,985056,812343,776247,-1,710120,-1,-1,-1,264878,-1,-1,-1,-1,318742,368447,-1,-1,145869,209207,591720,-1,-1,-1,153949,409603,692801,623691,-1,115487,574856,-1,-1,774442,949841,-1,598848,-1,-1,-1,203429,-1,-1,685394,-1,-1,-1,132716,863205,967473,-1,-1,-1,769002,336565,-1,812987,347641,-1,216811,484224,-1,-1,-1,-1,944152,-1,292644,867755,-1,857763,-1,-1,226250,225646,-1,47455,-1,-1,-1,-1,590596,-1,221122,-1,-1,166714,860892,484624,-1,-1,-1,150249,-1,-1,-1,-1,-1,576658,95267,776340,-1,269192,191977,-1,959268,-1,-1,640908,-1,-1,-1,667778,-1,904894,47049,366451,-1,760650,367446,-1,-1,696677,-1,119400,45407,-1,429011,889161,-1,-1,552864,-1,403018,-1,-1,-1,376880,-1,-1,-1,-1,-1,-1,914324,248719,689915,17049,-1,592768,844669,-1,-1,280538,45017,136328,-1,281717,296879,-1,335802,391377,-1,124964,525506,439019,294412,230856,-1,486165,-1,-1,-1,482714,-1,-1,-1,-1,-1,673564,-1,567244,570140,839475,-1,-1,-1,817886,124316,844171,-1,-1,-1,753331,-1,926961,661750,588625,469788,391623,-1,-1,694907,611601,781045,596234,967579,-1,-1,-1,580863,659567,560028,93542,-1,165511,-1,69070,866795,-1,655461,42414,-1,-1,74503,-1,573704,-1,209365,-1,-1,-1,751500,-1,848774,635454,766637,-1,793174,-1,572320,998584,992874,-1,501414,681473,225073,-1,-1,-1,115778,489651,-1,-1,-1,-1,-1,852259,-1,286072,-1,-1,-1,709131,129938,118236,-1,20744,984276,-1,-1,-1,-1,512777,-1,-1,691448,136987,-1,-1,-1,642473,-1,-1,481380,579394,-1,-1,567843,864099,763285,-1,-1,336284,-1,809667,-1,272642,683455,-1,-1,-1,-1,396403,-1,-1,-1,-1,414255,670918,-1,-1,960220,-1,486857,131841,-1,959107,707554,750066,-1,-1,-1,-1,-1,262537,-1,425750,807244,-1,-1,-1,-1,687409,-1,646755,66154,-1,-1,510031,97647,702352,684582,165357,497189,477204,-1,-1,319438,739668,991837,-1,-1,97744,-1,-1,939641,680178,-1,696993,5165,-1,-1,101254,329054,66371,116603,-1,-1,-1,-1,977822,509955,-1,362195,749963,359060,-1,-1,522947,-1,-1,18198,-1,423627,-1,-1,437243,350828,895756,531668,-1,881205,290570,-1,977729,6973,-1,16858,878280,-1,-1,-1,-1,-1,-1,604711,-1,738752,251919,-1,772273,472957,-1,-1,-1,-1,-1,911899,105140,814724,188390,-1,-1,973370,680805,498456,334294,-1,951212,210984,501907,729947,-1,-1,-1,601584,284796,558507,887474,683180,-1,128178,639412,621852,-1,-1,393715,-1,76166,60762,-1,88252,-1,588004,-1,-1,512992,-1,-1,543406,-1,225541,-1,-1,477613,-1,119323,-1,602065,-1,-1,-1,275927,157222,932026,24669,929411,297721,375355,154742,-1,-1,-1,-1,28217,524531,-1,-1,-1,-1,219472,-1,450696,97601,220470,160775,732929,751684,-1,937917,-1,-1,293332,464856,663249,712277,-1,816567,862139,-1,627705,-1,650388,-1,-1,211663,-1,-1,-1,205633,810855,-1,-1,101284,665136,-1,-1,574572,-1,-1,61099,-1,-1,938022,-1,214735,-1,632617,733809,-1,281705,674091,274424,613382,563413,716466,771815,147817,-1,-1,375342,-1,418668,392949,180820,837320,-1,-1,-1,164768,-1,450338,937809,-1,-1,-1,-1,-1,-1,254123,-1,710667,412073,999428,-1,856894,-1,-1,-1,375254,853890,-1,-1,-1,196350,111080,138025,-1,810318,551475,-1,251845,396456,430709,781223,-1,791227,-1,239603,703347,177945,-1,667148,-1,-1,252780,-1,-1,-1,462384,426402,-1,931496,517678,552345,-1,843504,-1,134815,-1,152797,550651,-1,781953,-1,-1,585070,-1,214666,3712,-1,489230,-1,-1,-1,446500,-1,15683,-1,468872,-1,-1,373378,79149,-1,-1,-1,-1,85890,-1,610401,480928,803377,-1,-1,-1,142327,979581,-1,418839,-1,-1,-1,-1,-1,-1,819223,457915,-1,-1,142643,-1,-1,498011,105377,-1,361601,-1,-1,-1,-1,-1,891707,-1,-1,-1,-1,913601,395223,917514,-1,-1,-1,-1,-1,-1,-1,85253,533337,341387,-1,-1,327968,-1,433237,586748,62652,-1,785114,-1,-1,422520,280515,-1,538430,876321,-1,-1,-1,-1,-1,-1,490992,-1,-1,-1,-1,-1,-1,475711,-1,756254,159583,525437,243704,111913,565375,620613,-1,390556,331645,545969,-1,616020,-1,-1,-1,-1,477740,990832,275755,-1,961085,372722,818753,-1,-1,694220,-1,57201,717096,385851,754443,-1,581708,885622,600148,801086,-1,216543,-1,-1,256261,-1,404633,162393,-1,499128,54179,461380,271455,904034,-1,915933,-1,199320,661788,526219,-1,552543,-1,736869,134288,-1,724840,-1,903489,778376,361170,-1,115199,-1,652221,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,890565,924975,-1,120171,495124,151244,392073,72784,824816,-1,800521,826728,884379,128444,-1,-1,68275,145587,694702,920580,381243,-1,-1,840901,393401,585172,589713,782725,992831,-1,525060,417321,113336,695987,859722,-1,537141,253215,170796,852179,28460,-1,998919,673413,708010,587589,196745,804449,-1,-1,-1,599556,317502,457919,662746,474736,-1,-1,49575,-1,-1,71447,150911,315838,-1,776016,-1,-1,112711,-1,123682,819591,397778,-1,985713,-1,-1,-1,413652,-1,849881,-1,204246,459819,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,791465,840118,10576,-1,740801,493854,18393,497328,514986,574769,880373,478044,-1,395836,850858,230630,-1,-1,115407,-1,-1,916770,-1,-1,-1,-1,-1,-1,205756,-1,807932,228753,225894,157230,69438,447550,-1,-1,329213,409403,-1,804985,-1,-1,-1,-1,626511,87467,-1,-1,12415,-1,-1,-1,577207,-1,660386,-1,-1,227863,92714,-1,929489,262745,819965,982402,-1,904024,259360,-1,9302,-1,864785,150016,310450,-1,-1,-1,567128,-1,-1,560035,110396,434331,423830,-1,252625,-1,687778,-1,765463,51964,-1,682962,268876,649379,932788,621316,571109,312036,83747,701906,56913,686306,186918,-1,-1,19687,317760,-1,-1,-1,110690,-1,386526,-1,869178,716858,327409,-1,440321,-1,-1,859908,547169,334268,-1,524955,-1,-1,208361,970301,-1,988662,627075,-1,-1,-1,-1,95943,968760,56040,140399,33370,296767,-1,-1,576566,224409,116712,-1,-1,-1,940900,939894,-1,-1,118631,-1,-1,-1,-1,-1,453958,839271,-1,-1,6541,702015,783767,-1,-1,281094,881478,-1,873588,684663,-1,289846,-1,-1,779785,385235,-1,236774,966397,147843,565441,-1,-1,-1,963726,311548,332152,525212,637889,482019,125661,-1,466925,-1,-1,974747,453664,325742,-1,-1,728521,-1,237493,303921,854063,-1,794791,-1,-1,256074,263745,992444,-1,-1,213071,-1,-1,230088,653306,234893,-1,132944,7684,-1,644250,-1,-1,-1,-1,-1,-1,801053,902609,-1,541181,-1,25717,920462,-1,640682,-1,557188,-1,-1,-1,972441,-1,-1,295384,452888,299001,380918,-1,-1,-1,-1,-1,-1,353465,234780,-1,243226,489554,719498,94006,-1,309947,334439,-1,641106,652477,-1,-1,-1,-1,581108,897182,970090,-1,-1,343821,988071,-1,623999,245554,654849,-1,-1,12382,228707,305868,645201,330328,743611,-1,329609,-1,-1,434426,-1,655023,422641,-1,858516,401463,-1,-1,372817,-1,-1,-1,-1,-1,655696,480954,-1,-1,536252,76044,738349,587991,39338,-1,-1,68643,-1,-1,-1,11112,405697,224195,794731,-1,-1,388369,-1,2983,148177,-1,468591,-1,-1,166889,123988,603759,284344,349388,-1,107142,-1,943434,-1,667647,-1,527397,-1,4054,-1,184419,552636,143117,998519,-1,-1,-1,-1,-1,174967,-1,-1,256527,-1,-1,561866,673457,-1,-1,162297,-1,-1,693378,-1,358154,325061,-1,101106,-1,-1,-1,862579,-1,69004,-1,143554,-1,-1,-1,943794,641129,376415,-1,-1,912702,-1,-1,495833,145295,808112,-1,888102,-1,-1,-1,244434,201893,-1,986028,-1,67920,-1,-1,820971,674807,507509,-1,882166,134267,-1,699912,274088,662810,-1,534965,-1,773465,-1,-1,-1,928679,-1,-1,102805,-1,81508,-1,365572,-1,844684,513242,817376,-1,-1,-1,-1,843766,183655,-1,-1,463494,-1,277436,-1,-1,360788,-1,-1,-1,743052,166183,631127,-1,397479,295392,667852,445889,116668,867224,483542,934417,321696,550530,765794,-1,894904,-1,362854,-1,241178,-1,155372,-1,-1,595435,-1,209434,-1,350902,-1,-1,-1,173371,-1,-1,877303,203327,-1,237216,-1,541154,917009,-1,95164,-1,161660,-1,669963,-1,-1,-1,335235,765732,964377,-1,407528,-1,-1,-1,878251,-1,-1,-1,35428,-1,152441,288866,-1,-1,-1,102697,839255,758061,506716,-1,-1,68343,92072,-1,-1,693696,244393,-1,-1,-1,861395,201021,412703,-1,-1,195885,-1,-1,417093,-1,-1,393925,217168,-1,-1,599110,-1,997343,644702,709641,-1,979168,-1,-1,-1,-1,832076,913667,174254,954158,-1,-1,-1,-1,236935,693773,-1,756025,393394,575964,-1,589750,-1,-1,893767,-1,-1,-1,-1,361192,49094,-1,-1,-1,-1,397915,-1,-1,619021,-1,-1,995700,684791,329053,484875,657633,-1,899045,865550,877474,500052,-1,-1,-1,141808,308352,591598,-1,-1,980212,60536,-1,649212,-1,140764,794826,385839,-1,674867,632840,359158,-1,478611,781485,-1,246171,500280,392205,484941,-1,-1,-1,-1,24664,749445,-1,-1,568788,-1,-1,367140,-1,-1,99070,-1,732974,-1,513723,446115,-1,-1,-1,-1,592822,-1,-1,345212,987915,103774,85954,-1,490099,-1,670280,294511,407614,76487,-1,-1,-1,-1,262580,849152,97853,185175,292252,514125,167445,-1,-1,-1,-1,523336,392311,-1,-1,-1,527688,-1,-1,139982,-1,153276,-1,-1,-1,511945,-1,115625,516258,479247,-1,782042,109194,-1,-1,-1,-1,989856,894830,-1,861389,-1,663433,904353,944102,919196,688988,-1,-1,-1,784434,-1,139465,-1,933965,-1,167493,-1,130399,-1,950520,655867,950555,-1,362577,-1,864201,765320,-1,-1,-1,-1,-1,690858,-1,-1,-1,340340,-1,-1,96753,180033,-1,113026,429514,133895,-1,338009,51719,-1,-1,652869,48942,553075,-1,-1,-1,-1,-1,-1,-1,-1,-1,329215,-1,28449,-1,49037,-1,992955,-1,-1,-1,-1,-1,-1,-1,756474,-1,703868,120051,-1,-1,-1,957416,-1,596359,-1,195165,-1,-1,574114,-1,-1,272050,-1,-1,-1,-1,-1,809918,343152,432557,-1,218501,442496,-1,-1,8910,-1,-1,-1,746325,-1,-1,-1,153313,-1,-1,-1,606178,208925,-1,-1,-1,794980,-1,-1,-1,-1,-1,-1,-1,-1,776816,753610,-1,925259,558345,-1,863511,668064,-1,725993,603827,-1,829502,492908,-1,122034,957700,-1,-1,-1,645883,660095,-1,102964,924788,972178,467024,374715,-1,-1,-1,-1,778823,750373,71417,-1,917174,215343,-1,-1,-1,-1,-1,-1,-1,141398,-1,130390,-1,566490,328453,610995,444039,100976,442723,498460,292140,487035,270324,-1,-1,-1,433226,166559,426171,-1,124976,827854,-1,-1,-1,575377,-1,56210,35073,793434,499851,-1,515910,244109,-1,738797,383910,-1,278810,230458,-1,7440,-1,131951,-1,-1,-1,-1,-1,-1,-1,-1,409268,612451,278924,859952,-1,650005,836829,-1,-1,470900,347313,364216,632683,-1,-1,-1,829131,-1,-1,292958,-1,262159,-1,-1,-1,-1,-1,-1,-1,899544,-1,478726,202290,-1,51769,936172,388585,-1,49169,948804,235746,187234,186260,-1,997284,-1,-1,-1,117440,-1,486530,-1,825221,108623,-1,844596,-1,673053,-1,-1,2881,-1,843447,-1,588307,376459,-1,369055,-1,492916,-1,333829,-1,514707,456355,12240,327956,504935,387496,103091,-1,-1,465873,998198,591370,679134,-1,-1,-1,-1,849614,809508,424678,-1,-1,176764,-1,-1,-1,810874,-1,-1,-1,-1,205447,-1,828941,815133,470388,826740,-1,273053,440490,-1,-1,730520,794964,117068,182178,-1,818736,-1,547965,-1,159588,36312,804073,494408,-1,-1,539983,-1,-1,257940,-1,-1,-1,-1,883188,535940,-1,-1,249976,384767,-1,-1,-1,-1,-1,576831,727718,-1,929113,-1,469218,-1,894446,257695,-1,827926,867475,290892,-1,969607,985568,690059,567217,-1,943938,896952,978253,604935,470492,-1,-1,789033,-1,-1,-1,-1,940830,-1,311253,907363,-1,-1,59049,213949,-1,655809,252283,218908,-1,-1,-1,420698,351974,650517,388831,-1,769599,-1,849507,-1,616783,-1,-1,730395,317025,639010,-1,70047,-1,620400,973327,901485,100118,-1,-1,-1,693020,-1,-1,908353,225276,-1,-1,94907,985557,-1,709803,-1,-1,962988,35319,-1,-1,273056,228814,800289,-1,-1,284022,-1,898038,-1,77913,785735,391695,649268,-1,-1,331083,256305,313116,-1,825972,843598,-1,422206,-1,-1,-1,-1,-1,494285,-1,-1,-1,-1,917952,75710,498707,-1,74228,688605,-1,-1,698730,195484,843187,-1,-1,305414,-1,-1,-1,185496,-1,-1,595630,-1,-1,282662,-1,979994,532030,-1,-1,-1,880567,592589,-1,-1,-1,-1,-1,-1,525033,98308,-1,-1,145736,-1,-1,-1,-1,7335,-1,-1,-1,-1,18221,150511,937495,278567,-1,-1,174558,-1,-1,737594,-1,818087,-1,-1,971016,487571,-1,617786,655435,-1,-1,-1,-1,-1,-1,505086,-1,380657,-1,-1,243946,911595,-1,36306,-1,453390,590544,843065,181089,505279,-1,271626,-1,60474,-1,450335,-1,459526,-1,601019,-1,208730,-1,-1,429853,-1,351533,-1,961950,-1,-1,-1,898084,-1,-1,808580,54578,656607,486754,104302,-1,-1,-1,-1,-1,-1,-1,-1,207522,-1,-1,-1,-1,353063,809568,221795,46314,-1,305516,-1,366499,352966,-1,-1,-1,-1,324823,964599,-1,423273,-1,-1,557075,-1,720640,693002,82891,740687,-1,-1,-1,-1,805513,984026,732619,937721,80257,896664,-1,182955,645318,-1,843673,706385,476395,-1,-1,-1,290065,-1,168995,-1,-1,135709,62063,761359,136567,-1,57508,63180,-1,-1,399060,108886,-1,-1,-1,306623,614629,312337,858191,739218,446610,-1,145227,-1,42802,907169,-1,696532,524189,61627,538095,855233,109221,561907,-1,-1,602429,639202,491771,583044,126474,-1,764267,266152,-1,-1,400119,-1,-1,264176,538371,970332,-1,-1,-1,-1,415787,254047,-1,878935,859076,-1,-1,961303,-1,-1,-1,-1,-1,392732,1036,-1,-1,183490,242609,292525,67330,-1,359477,606364,688093,-1,-1,751665,257540,-1,-1,-1,-1,-1,142058,-1,-1,-1,825266,-1,-1,-1,-1,-1,-1,-1,-1,313251,-1,249399,-1,-1,296124,985939,469664,199354,-1,-1,-1,696510,-1,-1,-1,-1,718213,519667,-1,-1,906640,711983,-1,-1,811608,-1,612876,-1,-1,-1,-1,704143,-1,-1,523355,-1,-1,-1,-1,93733,441383,968408,339641,549242,-1,-1,259257,829873,-1,285609,411370,-1,953089,-1,-1,755994,-1,-1,433927,-1,-1,-1,38393,652176,-1,-1,883428,311013,417248,-1,704923,430644,-1,-1,907362,-1,41375,-1,641620,122817,799413,-1,267391,53726,-1,719956,-1,64974,35503,-1,-1,696959,-1,913446,560801,434506,-1,59421,929097,-1,878427,-1,81826,946394,-1,418734,-1,714868,-1,430142,579432,-1,936397,-1,60893,-1,-1,-1,-1,973524,474181,81496,31406,-1,658752,-1,-1,-1,559605,-1,818428,881816,611413,-1,802592,370519,-1,-1,787250,603423,-1,-1,342296,-1,83634,-1,-1,-1,894483,484356,971708,800709,-1,-1,-1,-1,-1,-1,654357,47431,863849,590459,-1,-1,-1,-1,-1,-1,-1,479475,-1,-1,-1,-1,122221,578607,-1,664282,-1,676561,-1,127517,-1,329065,-1,331532,-1,43319,-1,-1,-1,500511,-1,-1,-1,18058,-1,-1,-1,168184,742738,-1,767221,523551,543283,-1,921657,234782,58855,839334,-1,-1,-1,-1,-1,345454,-1,-1,-1,-1,861273,780007,243979,-1,108884,-1,-1,837298,842340,-1,-1,263718,-1,302146,-1,-1,345775,805933,800346,661769,58142,-1,151671,470941,652648,653331,20367,-1,508050,245117,249029,721546,54175,-1,825563,-1,798891,797438,-1,731944,67846,135560,-1,-1,437578,-1,-1,346540,996515,-1,938896,881184,387498,-1,90477,-1,-1,83354,631566,248610,-1,-1,-1,-1,482062,-1,-1,-1,438141,-1,912340,91380,91054,301410,602315,325521,-1,-1,-1,-1,-1,-1,107003,-1,-1,-1,-1,-1,564786,509715,174606,923235,-1,443857,-1,671175,-1,-1,503257,420498,-1,613005,908027,-1,-1,-1,855726,-1,333315,185285,-1,-1,-1,570759,-1,-1,40649,-1,-1,-1,401842,942402,773807,432295,-1,-1,3010,-1,-1,810554,826019,-1,677256,359668,246012,48559,333452,-1,847003,-1,-1,996663,748780,17761,643279,-1,-1,810295,-1,321246,749373,552984,339436,13969,-1,102308,127373,175559,206633,-1,-1,-1,180949,605453,572291,-1,168487,274711,345965,731783,587982,193403,672720,-1,-1,421540,-1,-1,130240,-1,-1,-1,238744,707084,374554,952958,-1,-1,-1,116299,227984,105318,956496,-1,-1,-1,576214,-1,993180,320271,69969,644816,-1,-1,145104,804208,-1,404683,-1,-1,-1,-1,213493,371850,677621,-1,938470,-1,688721,504785,710110,133944,-1,577263,-1,-1,816173,137608,-1,-1,-1,-1,-1,-1,600403,350570,-1,951257,5896,736613,389681,-1,303194,270279,745704,304545,728483,69902,-1,-1,501047,-1,-1,-1,99819,-1,707401,656398,55907,599564,193358,-1,-1,910593,-1,-1,-1,859425,218697,-1,68302,881712,-1,211244,-1,-1,-1,-1,-1,-1,-1,-1,-1,486909,962094,-1,570283,938621,-1,433627,-1,-1,92114,187386,-1,31231,-1,-1,847634,-1,138470,-1,427947,559898,-1,431712,1708,775649,-1,-1,769143,646684,-1,-1,778113,-1,805193,-1,-1,129058,-1,-1,604557,-1,765328,-1,-1,-1,-1,-1,-1,179234,-1,692914,-1,-1,87559,325169,-1,985187,974869,174148,699398,146609,-1,649874,-1,-1,-1,580831,151032,-1,728954,-1,-1,-1,-1,814501,650031,-1,-1,895742,-1,-1,-1,-1,-1,678856,681457,-1,-1,465866,298072,131809,-1,-1,-1,729385,777729,-1,-1,-1,107069,899828,97061,-1,-1,-1,306114,60539,-1,164494,-1,916106,-1,-1,355433,310532,382143,-1,844021,-1,-1,37707,-1,287275,-1,672113,-1,74450,838681,-1,-1,411602,-1,267779,241904,420240,812151,761022,-1,704682,-1,50081,950193,498870,516004,-1,629678,-1,156249,-1,-1,4820,57004,929280,948223,755390,-1,-1,-1,677569,634094,331310,784001,-1,-1,-1,287940,-1,138353,316265,-1,-1,-1,-1,-1,11829,207121,-1,671432,34965,-1,-1,-1,347841,-1,765218,782136,-1,987317,129170,101218,-1,-1,-1,-1,-1,657519,-1,192627,370793,-1,-1,225121,933770,-1,-1,38962,668629,-1,-1,257663,-1,801206,304909,686761,667614,541487,-1,726444,-1,-1,979283,-1,218633,-1,-1,-1,696576,204822,345415,-1,531280,708761,526022,519790,-1,303706,-1,-1,591914,-1,-1,67049,427845,-1,659058,-1,913902,527841,481712,507816,-1,208001,-1,-1,920099,738267,811576,-1,-1,559678,-1,583145,-1,612694,-1,245900,-1,-1,-1,-1,-1,254056,223931,971147,333020,5668,838818,-1,831799,-1,-1,-1,20897,-1,632301,939207,-1,-1,-1,214551,366489,902854,-1,-1,315108,723303,-1,-1,-1,375245,-1,-1,28164,199083,644986,226434,-1,-1,36488,-1,-1,-1,831472,158604,-1,931422,-1,-1,-1,206516,731592,-1,196177,305870,235949,-1,-1,173101,-1,537061,-1,-1,580681,557694,915122,409438,-1,-1,-1,174165,-1,91207,123032,-1,-1,930888,-1,-1,-1,520241,257693,452747,74175,567553,-1,-1,739558,-1,677208,7048,-1,-1,402043,-1,-1,666205,292417,108836,795587,-1,700013,-1,-1,-1,-1,546883,688490,-1,810429,-1,-1,636341,888256,-1,-1,566675,-1,-1,-1,-1,698148,-1,-1,-1,-1,-1,-1,-1,529188,237109,611867,-1,-1,-1,139642,-1,602232,-1,349848,-1,649801,681320,-1,-1,-1,702618,61341,163398,876383,278845,-1,39219,-1,-1,305019,-1,482935,969240,556534,-1,626256,853768,245502,-1,690288,937887,-1,-1,-1,526831,-1,-1,-1,-1,89993,-1,-1,-1,4135,-1,735372,-1,-1,205022,997150,372475,368137,517106,-1,-1,40898,-1,-1,844996,632527,-1,-1,-1,-1,-1,-1,-1,-1,800506,593606,-1,510974,-1,-1,123977,-1,-1,-1,762241,715409,374390,-1,-1,141884,-1,475422,424747,-1,38850,-1,528396,-1,-1,-1,-1,-1,691907,10559,7679,-1,-1,366829,-1,125613,333500,-1,-1,-1,-1,-1,165794,922106,271327,-1,-1,582385,369962,568436,-1,21315,-1,-1,-1,-1,-1,225592,651015,746319,-1,-1,-1,711190,-1,-1,-1,936042,-1,983923,680534,984529,-1,-1,983988,241891,-1,280733,549257,918652,-1,724924,-1,412849,320171,-1,-1,-1,871406,-1,814564,409370,104579,521503,216356,491769,-1,-1,-1,127099,20743,-1,-1,612127,347391,70456,597938,373119,-1,18768,-1,-1,870518,-1,70623,925975,-1,-1,-1,-1,-1,-1,759601,713906,-1,-1,-1,-1,13632,557854,-1,-1,255336,118415,-1,92378,33618,-1,-1,608276,-1,697047,805031,6365,786311,-1,402848,33209,-1,795422,-1,209882,109876,-1,475135,-1,-1,-1,175184,-1,-1,508868,-1,447522,949678,-1,-1,-1,629451,-1,44665,221379,8954,971466,-1,965203,111897,992948,21946,-1,239715,46264,-1,658995,692669,-1,-1,361894,-1,-1,187429,437286,-1,-1,-1,124208,535443,117169,795248,657142,-1,-1,-1,-1,273671,-1,125643,908199,-1,-1,216753,592564,-1,-1,614311,-1,-1,-1,72278,536193,595861,-1,823163,494812,-1,427750,587928,131446,-1,-1,243044,-1,-1,-1,383111,564210,575888,598309,731266,-1,479121,-1,626180,-1,-1,843797,469006,959741,-1,-1,693970,604819,-1,986104,826914,58916,251629,-1,582167,915626,228001,-1,624750,138218,-1,876641,-1,-1,-1,857188,484093,-1,923170,790020,-1,-1,269021,-1,412139,-1,582509,676605,-1,265498,537010,-1,-1,-1,282808,785975,977084,423513,659093,117568,615052,-1,888746,112639,255936,-1,-1,-1,-1,495633,982728,86663,209690,-1,-1,-1,446767,-1,399937,87584,665697,-1,-1,307404,-1,494323,-1,-1,-1,-1,598209,1010,-1,51775,240884,-1,108357,-1,-1,428631,-1,62176,747861,695909,555728,-1,148809,-1,-1,-1,-1,-1,-1,-1,487305,-1,857991,525207,836756,823849,669743,212871,-1,-1,-1,-1,345630,493601,101267,143959,-1,-1,886834,-1,242478,-1,-1,328345,720687,-1,-1,777121,-1,-1,164688,725349,-1,-1,-1,265532,670121,496248,-1,-1,-1,606144,-1,-1,355401,320500,-1,-1,813542,729224,561285,513089,-1,-1,-1,-1,499585,-1,-1,-1,652928,-1,721154,-1,-1,-1,101345,-1,-1,250721,-1,934439,-1,-1,-1,8955,327349,-1,300150,130360,791065,-1,-1,-1,-1,-1,-1,210397,854360,-1,839282,-1,-1,-1,-1,-1,-1,901047,906983,868195,455680,-1,-1,-1,-1,289956,947134,-1,-1,369446,699125,58157,-1,887741,390018,-1,-1,-1,-1,-1,-1,-1,-1,227943,-1,-1,-1,-1,-1,348042,173324,-1,605974,-1,-1,668085,407343,656781,313032,-1,194136,147037,-1,-1,-1,372867,-1,-1,436189,547569,-1,-1,-1,-1,-1,362061,-1,205265,584352,-1,-1,657387,-1,-1,683231,986543,828495,-1,514009,-1,599743,520633,932065,898060,-1,967333,-1,568162,-1,-1,-1,-1,618947,-1,-1,306537,942479,70334,263278,62852,-1,-1,-1,-1,116011,-1,-1,89005,939050,-1,-1,-1,-1,-1,906718,-1,672438,-1,876202,-1,-1,-1,22663,-1,312740,565716,-1,-1,-1,766919,131342,-1,521348,-1,-1,160609,568747,77194,-1,671519,280952,583605,-1,721986,-1,47959,19371,-1,-1,692641,916731,120564,606868,456144,978821,-1,431289,-1,-1,-1,-1,-1,609864,344489,209652,85809,119876,-1,-1,-1,-1,846052,651301,-1,202720,930926,-1,-1,982851,-1,598321,651776,-1,311370,-1,-1,14176,-1,-1,279265,-1,-1,484330,90280,592246,-1,-1,10728,718318,-1,450522,-1,-1,261729,-1,-1,-1,-1,-1,-1,544779,591639,-1,-1,-1,788904,-1,-1,714191,13106,-1,-1,-1,-1,608191,359847,57075,-1,-1,192123,732549,758314,-1,728940,-1,370049,-1,-1,667878,-1,791527,747856,708126,-1,-1,640083,386073,201448,483900,417785,372092,-1,-1,589983,576465,384992,-1,140959,307625,-1,-1,594945,-1,386869,971753,83400,-1,-1,-1,-1,328975,-1,-1,523537,-1,-1,791251,39770,23805,-1,-1,657849,-1,-1,755417,808716,221787,298419,903812,-1,-1,-1,-1,-1,-1,-1,899265,436957,133600,658892,-1,-1,586570,-1,146551,980330,-1,-1,-1,184875,-1,302388,-1,576748,-1,800102,-1,268465,-1,442004,356433,-1,-1,-1,-1,-1,88171,305654,159497,344515,-1,910560,-1,605113,283329,-1,904022,-1,831566,679413,-1,-1,975351,771095,211167,-1,124563,640039,-1,490110,-1,791483,-1,748348,564837,726344,-1,274464,-1,728965,-1,203879,-1,521568,99638,19118,663364,725718,-1,-1,-1,-1,283626,-1,-1,341786,-1,240023,-1,-1,-1,-1,-1,684645,-1,955405,105977,405926,704175,727537,-1,-1,655829,202891,173684,-1,956152,-1,753860,-1,-1,667857,148040,-1,664402,809895,492613,417847,552293,125293,423903,-1,719677,-1,-1,380069,-1,-1,-1,263260,-1,165100,737379,-1,354396,-1,-1,-1,790782,580260,212593,683536,-1,140531,72435,155729,-1,35829,-1,765422,-1,-1,806456,-1,-1,-1,80157,-1,411813,559759,-1,88011,-1,-1,-1,-1,-1,121950,19394,368574,-1,192052,999909,-1,223121,673995,598217,-1,-1,-1,-1,-1,-1,227698,20183,-1,102432,225975,565283,260581,-1,-1,-1,-1,693570,205254,-1,473959,-1,-1,364503,319087,462991,930884,-1,109206,262579,970658,-1,-1,-1,-1,-1,208926,-1,-1,428251,-1,-1,-1,-1,156354,315496,642045,525029,243046,801597,812942,-1,14224,493474,14767,-1,-1,155849,-1,839261,-1,-1,235033,610683,-1,395860,-1,-1,-1,-1,-1,19293,-1,108395,303895,-1,-1,136559,-1,-1,13434,-1,883793,980943,-1,30613,-1,-1,799827,-1,-1,-1,259900,569203,111037,627597,-1,-1,834302,719306,519660,-1,894529,450511,93297,517694,-1,-1,-1,-1,-1,-1,-1,485399,294620,138730,-1,-1,-1,772925,885695,770850,-1,-1,-1,-1,605074,-1,-1,196525,-1,781452,481584,-1,-1,765678,900174,-1,244423,-1,280792,-1,408839,419573,-1,-1,156430,725148,751026,-1,-1,563128,444810,-1,-1,261275,682144,309594,-1,27715,-1,626577,-1,-1,750531,454373,896666,974113,-1,313263,-1,196416,-1,798805,-1,-1,705577,-1,-1,-1,-1,-1,59223,17163,981859,975550,80573,-1,565334,429256,-1,-1,289661,609537,974616,167894,266243,308894,836590,412469,-1,-1,-1,581653,190858,-1,-1,-1,-1,-1,659013,902933,-1,-1,670055,953898,974684,323143,-1,-1,981682,342188,756996,769048,-1,952940,-1,827719,221450,297710,-1,-1,359726,880395,-1,-1,-1,585508,370355,-1,-1,638739,-1,708884,381568,908565,942450,-1,565451,-1,984237,28686,-1,-1,-1,-1,-1,543721,-1,356899,930543,-1,-1,-1,-1,86935,562101,-1,799699,565185,428810,554173,286966,-1,674470,641859,865947,-1,922246,-1,-1,420540,-1,-1,-1,-1,526152,-1,-1,-1,851463,423596,413442,-1,512538,344675,663901,-1,979458,-1,-1,-1,-1,-1,-1,87213,-1,-1,896962,777701,618439,-1,901532,-1,964897,-1,926483,-1,370058,-1,528857,-1,-1,629923,-1,-1,460201,-1,-1,-1,396081,47436,-1,149503,-1,234310,508358,-1,-1,636909,518176,839918,970087,201655,-1,-1,-1,-1,684803,-1,-1,765226,-1,946761,-1,-1,276664,-1,-1,-1,518460,-1,-1,-1,861491,-1,539869,-1,372098,-1,-1,237221,951235,846559,-1,533717,130229,318706,-1,234957,-1,-1,683995,312650,6098,620648,394666,689161,887513,-1,342129,-1,135824,369813,-1,14634,-1,314014,-1,784599,647837,-1,71151,-1,-1,597967,843261,822613,-1,914215,-1,454933,389962,-1,146096,-1,-1,-1,-1,-1,-1,-1,437603,125644,611586,-1,-1,-1,249135,-1,432484,80967,474450,708108,652876,493031,-1,-1,512786,182984,-1,497101,-1,858605,-1,-1,-1,744779,-1,-1,945029,82048,522278,669697,774928,415421,-1,-1,-1,194440,635024,-1,229725,-1,-1,-1,843584,-1,-1,490352,208431,628436,554917,593724,-1,-1,-1,614703,-1,-1,710386,-1,129622,338055,262227,-1,684069,-1,-1,461667,594516,206353,-1,-1,-1,211011,-1,987781,-1,35897,35381,603734,838495,783389,-1,-1,-1,651420,-1,-1,592975,526392,91381,923028,766230,-1,-1,-1,-1,-1,-1,738287,-1,129327,902642,293758,530207,307112,561676,147640,595632,753249,448729,-1,-1,-1,-1,238078,421895,-1,-1,177162,33322,-1,-1,-1,-1,778270,487445,431950,-1,-1,-1,770770,323517,651179,-1,-1,-1,750923,-1,-1,191952,557788,-1,-1,809878,541372,320704,-1,164948,-1,262767,-1,-1,793768,-1,241349,-1,-1,113683,674274,796286,900885,-1,892383,169297,-1,-1,-1,756325,214430,220527,-1,-1,-1,-1,577026,-1,-1,364701,-1,-1,-1,-1,-1,226897,-1,-1,-1,-1,-1,-1,547480,784402,-1,230336,838615,44039,-1,456214,98795,-1,939182,552364,-1,575745,579250,380977,-1,924672,-1,-1,898300,914004,112534,566193,-1,175357,58111,762019,-1,35928,559823,373382,458915,-1,809016,-1,-1,-1,-1,-1,-1,16642,-1,-1,-1,689891,-1,537424,-1,461641,-1,655388,-1,534332,464185,64440,-1,689987,132029,307670,918657,416501,710988,-1,274012,852078,886273,-1,-1,310339,386374,600639,104196,-1,26717,721126,-1,927455,324054,128802,-1,-1,774168,-1,523680,10965,-1,-1,94929,-1,-1,-1,962041,426964,750394,-1,173549,-1,74327,450907,-1,307317,-1,-1,-1,-1,-1,-1,-1,696074,-1,-1,-1,332722,499983,378137,-1,-1,-1,874046,-1,-1,-1,238673,296126,-1,-1,595876,10428,-1,425664,206865,-1,-1,342661,971514,-1,-1,899772,264269,-1,736165,289497,-1,-1,955929,400864,-1,-1,190268,306364,-1,-1,218557,990710,-1,880304,241413,-1,-1,348908,-1,973424,260676,437317,172223,744668,-1,-1,-1,-1,361494,-1,907710,567320,226571,-1,-1,225951,-1,369543,950245,-1,-1,680172,-1,-1,153068,449184,764458,-1,451934,835376,-1,999910,-1,-1,120150,-1,-1,489853,-1,-1,267660,483105,-1,-1,736542,565822,215548,988578,451939,-1,-1,-1,-1,-1,29811,194458,453674,-1,-1,-1,660821,-1,812845,-1,117558,887030,620541,900373,127289,616886,-1,-1,-1,-1,264896,-1,-1,565116,-1,-1,-1,-1,-1,-1,647967,-1,-1,192586,-1,-1,-1,903740,-1,-1,961531,-1,-1,-1,637448,-1,313831,-1,472029,-1,-1,880955,561277,-1,98477,-1,976407,-1,-1,-1,953382,-1,808444,249501,-1,-1,-1,-1,-1,-1,-1,689511,-1,-1,-1,191960,757284,710550,391022,-1,946775,204880,863088,-1,-1,-1,-1,790934,373408,-1,111919,497456,-1,97018,640888,-1,-1,-1,-1,702167,-1,-1,198006,432027,696923,157872,-1,109537,346713,245225,-1,-1,-1,380763,-1,807381,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,668303,-1,939779,-1,374988,-1,721254,64537,-1,712574,-1,-1,173996,131982,-1,458187,-1,20654,-1,11840,228761,296074,-1,890598,467972,-1,-1,-1,-1,-1,-1,430347,-1,402919,-1,379641,526773,-1,130185,-1,-1,417603,941649,-1,-1,-1,287156,877922,407538,-1,306581,-1,234738,-1,200026,-1,866196,-1,281097,-1,404055,332165,880037,120135,-1,-1,397139,253449,-1,-1,909475,436144,-1,-1,-1,364591,-1,-1,621637,-1,41309,-1,-1,477705,-1,438757,-1,851112,147385,929648,584356,850326,254432,-1,-1,-1,32918,-1,722842,-1,195875,-1,-1,696746,-1,630596,-1,-1,438096,-1,216432,221702,732713,-1,47077,646992,-1,505787,511704,668341,638016,440389,129523,38888,-1,458942,-1,-1,242683,-1,-1,-1,443721,-1,-1,-1,185110,-1,-1,748844,-1,-1,-1,-1,-1,-1,357918,709467,753222,797693,202895,967346,375303,995917,-1,445706,-1,568117,-1,-1,297740,294082,-1,519788,52533,-1,-1,249023,-1,259353,-1,-1,-1,981777,-1,700951,852405,406953,-1,879749,820948,513191,296141,-1,605952,-1,-1,-1,273398,491218,-1,-1,-1,369798,712803,-1,-1,-1,-1,-1,-1,390154,-1,-1,-1,-1,-1,-1,505770,758598,407054,-1,-1,-1,-1,320661,-1,-1,-1,323066,504887,592590,-1,-1,665934,-1,-1,-1,-1,411590,739416,-1,585258,-1,-1,-1,-1,182730,-1,596131,-1,844014,725406,1464,-1,729407,-1,-1,830441,960595,-1,801893,-1,8865,-1,-1,379577,19406,-1,-1,432264,728792,633580,-1,935403,554060,529506,443577,-1,-1,-1,-1,815883,-1,-1,-1,-1,956199,-1,211045,615611,292977,-1,-1,289706,-1,4300,876405,-1,895982,532409,-1,-1,302704,963740,425765,-1,605254,702440,87597,-1,-1,756653,-1,125263,571949,-1,937758,750193,-1,846004,-1,-1,-1,314336,122738,-1,912829,685268,-1,-1,-1,-1,254604,930048,58620,882543,90650,-1,-1,729770,428814,-1,-1,423703,-1,-1,-1,-1,181890,55659,-1,-1,368236,-1,-1,-1,-1,822731,-1,-1,-1,-1,-1,-1,-1,490370,-1,-1,256441,-1,-1,-1,-1,421807,-1,-1,-1,-1,-1,-1,-1,559408,458578,511774,698814,-1,658409,246971,-1,923821,536576,261972,-1,15855,-1,559005,-1,885921,513649,904007,-1,-1,721010,20828,-1,-1,471639,327587,-1,867855,-1,314143,653798,546047,109892,-1,-1,-1,565327,513318,79885,-1,510114,489458,118887,-1,521128,-1,-1,-1,-1,-1,346762,61810,689208,724712,-1,101992,887904,926949,79514,982396,-1,248760,308686,689544,544077,-1,-1,994652,664865,-1,29625,-1,-1,755698,881164,-1,158092,-1,-1,521480,-1,-1,48684,441496,-1,-1,-1,-1,2726,-1,-1,78750,-1,-1,-1,-1,-1,-1,867569,-1,220098,259249,-1,786100,365559,-1,-1,-1,-1,-1,102353,-1,-1,-1,445864,-1,636327,-1,911989,850049,-1,-1,-1,706772,-1,-1,-1,518187,333580,-1,-1,999363,-1,-1,550279,-1,39237,122437,-1,-1,-1,108139,-1,735631,-1,-1,624401,223517,-1,-1,861871,363332,84015,914507,979552,126415,-1,441092,-1,-1,611766,319598,-1,-1,827813,91085,-1,435379,-1,866334,864070,-1,15361,-1,79693,372241,-1,-1,402396,-1,228268,-1,39784,568978,-1,140801,118010,694445,-1,419183,-1,323873,846326,158753,-1,-1,400726,596892,564425,-1,226581,-1,-1,308751,-1,738265,-1,-1,432384,-1,-1,978024,-1,-1,808634,1071,528147,966346,-1,556422,977195,15729,-1,543610,-1,378572,863271,-1,-1,-1,-1,748821,535648,762525,822630,-1,-1,811807,620760,-1,-1,803851,446161,79828,-1,686525,-1,706977,-1,-1,-1,-1,125412,-1,336972,960630,883594,987860,848985,753898,-1,867122,999698,-1,356351,-1,-1,995988,681088,-1,367509,155455,-1,-1,-1,184638,-1,-1,317290,602573,-1,-1,805240,812765,476628,750792,37712,649258,879343,-1,-1,828166,-1,-1,-1,-1,296072,-1,-1,-1,282372,-1,587315,-1,-1,-1,751624,296599,448969,-1,247959,-1,203821,-1,273245,-1,273958,-1,154251,433735,-1,-1,-1,596026,756375,134512,872800,403150,397610,22591,-1,884438,576364,107836,665992,-1,-1,-1,783407,-1,-1,-1,-1,-1,363556,976167,600298,-1,-1,866900,-1,103536,252821,307646,33753,-1,-1,-1,773537,89558,-1,598265,-1,417102,132614,332431,-1,63604,-1,-1,354949,239885,-1,77513,486873,-1,-1,-1,64057,566693,-1,185837,-1,-1,-1,-1,513256,402828,653317,596226,565032,-1,-1,-1,-1,445155,-1,763059,-1,376813,14007,406980,-1,-1,38912,-1,653550,-1,-1,-1,-1,819057,-1,384933,70319,-1,-1,-1,13391,-1,-1,-1,193008,-1,-1,196663,308260,739252,-1,-1,-1,-1,251977,-1,645432,-1,684841,-1,108847,-1,-1,-1,521399,-1,-1,-1,-1,328847,-1,-1,279819,-1,-1,584467,799684,-1,725010,-1,-1,-1,176624,72012,823109,-1,-1,59910,-1,-1,925540,-1,824360,350266,-1,924090,677236,-1,613282,226369,-1,-1,293055,-1,-1,855329,-1,-1,-1,261599,-1,289434,-1,821516,-1,780477,635354,-1,752467,896529,-1,-1,-1,-1,824890,861844,-1,866000,50423,987185,-1,-1,-1,-1,-1,13384,816101,24086,322725,-1,256206,-1,93595,881114,-1,-1,587893,497114,575376,975728,-1,-1,509450,411482,654274,-1,-1,-1,-1,-1,449496,-1,-1,-1,351427,-1,532484,544348,667105,809610,-1,-1,683002,68152,277559,-1,294829,-1,944854,-1,463622,-1,-1,-1,425480,710198,-1,-1,-1,609344,-1,-1,-1,-1,-1,874230,-1,-1,22869,-1,-1,186933,503479,-1,297751,817842,-1,311180,-1,986682,791262,-1,633868,82722,650653,-1,168278,349684,-1,494441,165987,537987,540089,471482,-1,-1,-1,967200,-1,448045,779772,587999,640529,211758,-1,600228,208500,-1,346956,60927,-1,-1,-1,45379,-1,589954,-1,871606,222394,-1,-1,-1,-1,-1,-1,31642,134710,-1,896674,907089,236624,526891,-1,314238,-1,-1,660268,169187,568480,291871,587918,963530,-1,-1,718070,252653,470781,767767,336156,230468,640455,-1,-1,-1,513169,113388,-1,-1,-1,386283,15379,280275,-1,445778,-1,-1,96879,277709,-1,-1,-1,952811,175663,-1,-1,436184,540154,548920,441099,-1,781875,-1,338892,-1,466927,636014,-1,-1,-1,-1,486037,507028,421736,-1,-1,-1,-1,-1,814896,989021,-1,834111,-1,-1,814732,-1,-1,-1,624965,260108,34134,-1,-1,-1,-1,-1,-1,-1,831792,749645,149747,135034,-1,-1,-1,402873,-1,602066,-1,219258,512850,-1,-1,955467,231126,-1,-1,235720,-1,-1,-1,328449,-1,-1,-1,307339,-1,49416,543219,237094,891471,-1,-1,-1,-1,286111,185327,283465,999553,372106,693222,-1,576510,713021,160554,214009,-1,-1,558069,-1,582868,705541,877237,837417,-1,-1,-1,-1,423480,149675,970831,-1,-1,141124,-1,412381,-1,60012,-1,-1,606755,-1,-1,-1,372388,-1,-1,359045,7310,673175,727419,-1,549783,246404,683665,-1,858182,-1,238460,738489,599399,764002,-1,186166,436566,227859,-1,221841,753104,637696,909725,-1,-1,66944,-1,-1,-1,663391,-1,-1,-1,64908,268229,-1,230510,457213,391073,-1,-1,-1,-1,-1,437159,823357,-1,565050,-1,495167,405339,-1,890971,-1,-1,184884,252722,295662,-1,567309,857061,867305,-1,442577,686962,524989,-1,298468,200762,-1,-1,684308,-1,466529,-1,149079,-1,-1,-1,-1,389765,480940,-1,295535,-1,473905,997231,481713,134971,871624,-1,-1,808093,-1,-1,821549,160001,302027,322099,332005,-1,-1,791339,897974,-1,-1,850391,-1,-1,-1,-1,-1,110385,981953,-1,-1,854140,-1,-1,283856,905094,686091,-1,327507,-1,-1,781536,-1,465457,550111,265015,480234,-1,-1,768809,-1,-1,-1,490158,619291,987063,-1,221064,608923,-1,-1,12149,-1,732671,-1,-1,-1,-1,314859,890351,19435,-1,702992,585492,168490,69102,-1,-1,-1,-1,944245,-1,-1,-1,43914,-1,545625,-1,-1,-1,-1,600252,397675,127472,-1,495565,460941,82724,-1,-1,-1,658186,-1,-1,732988,272080,-1,647702,210991,-1,145061,322557,355707,-1,620553,-1,177861,-1,-1,-1,-1,-1,-1,-1,917249,-1,267317,640898,-1,927922,-1,384927,762759,-1,768485,396165,260830,902995,699342,-1,-1,74324,-1,-1,694270,-1,523169,-1,931997,-1,166179,131027,-1,431320,-1,-1,583299,-1,-1,-1,-1,-1,-1,-1,-1,268277,-1,65340,-1,-1,-1,-1,-1,36260,907934,-1,-1,895886,186364,-1,-1,-1,-1,387374,574412,-1,-1,291981,-1,-1,-1,47523,534315,-1,-1,-1,-1,-1,-1,-1,957803,-1,-1,631989,56639,-1,866332,-1,445932,615606,-1,194819,956489,987804,139833,-1,-1,189068,231400,321326,131882,-1,-1,-1,299148,116263,-1,342727,-1,555994,513630,844826,-1,209022,-1,540049,699623,-1,796142,-1,643960,376064,-1,-1,-1,559144,936449,771872,875277,-1,-1,414555,464929,680856,391542,-1,883928,-1,-1,-1,-1,817451,565456,-1,332411,435623,232893,180546,173710,653572,-1,-1,202468,756777,696148,-1,-1,515075,465647,-1,431750,-1,249932,305911,-1,499143,-1,-1,-1,-1,605488,194203,-1,114056,222666,-1,691665,-1,-1,934844,-1,-1,812455,-1,-1,530753,872773,-1,-1,385980,259594,-1,720478,561879,-1,922622,-1,-1,-1,349152,-1,-1,685598,-1,164481,-1,615702,582927,748980,-1,627566,253229,717915,500333,607659,895554,-1,784793,-1,-1,-1,-1,-1,-1,-1,151308,-1,-1,161012,175979,-1,816972,278468,110950,-1,-1,-1,-1,518990,159903,944952,945692,175640,-1,-1,664304,645528,-1,995428,-1,-1,793055,145169,-1,966894,-1,934978,366646,-1,872282,-1,-1,683240,-1,-1,468387,-1,723115,-1,-1,999392,144117,724827,829478,-1,-1,-1,680519,-1,558843,-1,-1,358454,-1,973330,-1,971155,-1,294628,761349,-1,949978,465230,-1,-1,-1,-1,487540,-1,861376,-1,717457,-1,-1,-1,-1,-1,-1,-1,-1,-1,475068,-1,97006,741318,546114,192386,-1,-1,-1,411769,-1,25517,382278,194815,546778,560500,-1,434524,198237,-1,-1,-1,417113,70264,233761,654675,-1,-1,-1,-1,-1,840903,-1,-1,-1,714540,-1,-1,-1,531088,526823,415088,761080,-1,516422,799311,863309,492715,-1,-1,-1,841602,127377,-1,-1,359349,65540,227,939188,445172,208254,710612,811953,808390,255954,142547,-1,-1,904635,482912,234588,608852,-1,932759,970326,-1,80485,285652,-1,123108,26389,-1,-1,-1,738911,-1,749472,-1,679259,-1,-1,-1,-1,372843,335256,793890,-1,-1,-1,830276,-1,-1,-1,-1,-1,395370,558955,154776,-1,73459,454663,-1,544802,221329,-1,691063,-1,722997,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,622665,-1,-1,-1,562849,380458,-1,836309,-1,-1,240511,892511,535307,-1,234153,-1,55229,-1,-1,-1,424430,341882,380626,700304,36637,85953,394010,-1,811477,910194,-1,911430,404996,-1,870446,938247,633095,450476,30374,-1,-1,-1,35793,321293,-1,695278,285331,438101,930028,-1,-1,915788,465676,538274,583907,-1,134,-1,445160,-1,74775,157489,-1,-1,678146,471193,689937,-1,232166,-1,-1,-1,763812,-1,-1,438831,353774,665989,-1,-1,295038,77158,479024,416080,196624,-1,-1,602592,-1,244311,796288,-1,-1,64420,-1,-1,-1,-1,291896,62672,-1,-1,156523,431168,-1,450547,-1,-1,-1,502594,278839,-1,-1,517196,97678,-1,946089,-1,-1,-1,535637,916655,373585,55604,-1,-1,-1,-1,-1,198922,-1,-1,-1,977680,-1,340786,-1,317338,-1,144036,815210,-1,55597,555396,-1,-1,468384,-1,-1,809276,618561,327294,725901,-1,-1,411702,-1,-1,242851,-1,102600,859163,-1,188075,441229,-1,-1,47009,616858,-1,-1,-1,390087,-1,-1,82404,176025,529920,-1,-1,637899,-1,-1,536597,857729,340310,497612,-1,-1,-1,293360,-1,-1,-1,-1,586228,-1,-1,977215,933546,944554,-1,-1,489119,-1,-1,-1,-1,730806,-1,-1,601766,817695,964392,576536,442623,-1,295863,-1,-1,322553,-1,-1,558864,-1,-1,653652,-1,-1,-1,846100,236314,-1,329518,-1,-1,-1,-1,-1,629777,763691,911341,402985,-1,198012,-1,-1,-1,291776,-1,603849,-1,362339,856708,230686,822041,-1,399925,-1,729735,682629,-1,912556,-1,774559,345926,687684,445347,315540,381141,-1,231567,114594,-1,241364,-1,-1,313873,298000,-1,237577,-1,253636,546412,65412,-1,-1,-1,225854,-1,-1,-1,78519,-1,-1,666824,-1,139377,-1,-1,567591,-1,153201,207126,731105,47917,542597,324369,-1,857751,413735,-1,437788,-1,507821,-1,-1,464748,315318,-1,-1,196156,-1,299443,-1,-1,-1,-1,274900,-1,779447,323367,-1,302296,-1,17091,138014,629404,427161,726484,273863,-1,232064,298218,-1,216265,503032,-1,-1,-1,935181,-1,-1,139531,488429,783758,-1,449363,203308,180890,400969,250507,-1,317778,457972,-1,802099,-1,65122,720026,15494,-1,-1,-1,-1,379767,171479,615106,846126,981194,-1,109283,223965,217982,740831,-1,-1,787638,-1,-1,854071,-1,-1,344660,-1,458311,367719,174956,74900,-1,909259,366937,529965,-1,73368,-1,-1,-1,-1,-1,-1,-1,663032,-1,692848,-1,540610,332114,624156,703147,-1,-1,734924,493616,-1,875042,327890,624742,-1,902010,486108,217398,-1,527539,186686,229682,-1,-1,712334,47997,-1,-1,985904,-1,-1,302751,-1,774292,-1,-1,-1,590423,652374,416510,-1,-1,764025,-1,-1,-1,-1,940652,153347,-1,-1,448379,61796,-1,960904,313054,571198,-1,982822,-1,854422,874484,110823,-1,-1,-1,-1,-1,-1,864886,160076,449522,618151,242054,-1,-1,141536,556375,91742,-1,769579,849297,10399,-1,964262,504514,444180,-1,-1,345109,379182,22039,-1,-1,-1,934562,-1,-1,142089,-1,726622,-1,123578,-1,263380,-1,454797,740595,222249,-1,165991,-1,-1,-1,949436,-1,898232,-1,942433,-1,207423,-1,793000,636315,-1,-1,-1,-1,-1,-1,817134,929184,-1,355299,-1,-1,-1,911542,85488,239908,331959,-1,-1,517422,489585,60989,479651,-1,-1,-1,632156,-1,243073,-1,164953,-1,42295,-1,636166,734510,-1,974969,-1,786653,540306,77740,-1,-1,-1,478614,-1,-1,-1,197372,-1,358077,120351,696736,107971,-1,896676,521237,-1,412105,643070,26042,-1,139195,-1,-1,-1,-1,338337,940840,257459,500050,551754,712459,482607,-1,-1,-1,-1,-1,487324,206816,-1,-1,316545,930653,78599,1268,-1,619238,-1,395478,-1,47150,827289,859595,689975,200306,409488,66144,244647,-1,880975,513032,-1,-1,-1,50785,-1,190857,-1,-1,-1,-1,770759,-1,-1,-1,-1,550304,-1,113653,753029,221590,-1,-1,-1,-1,819585,861929,709464,798650,-1,-1,949506,-1,731861,-1,-1,253357,-1,-1,-1,-1,-1,-1,604661,-1,485918,-1,-1,295207,803995,-1,-1,8145,-1,558463,-1,-1,40301,-1,810835,-1,216196,-1,554024,829068,322787,435049,-1,666067,842955,293004,-1,928748,477093,596339,617335,749272,-1,929426,117054,-1,158325,930282,263101,-1,602725,-1,510616,823519,-1,528250,-1,-1,-1,-1,-1,-1,496982,-1,692886,-1,-1,708675,199339,-1,801171,91807,297632,-1,-1,-1,425012,-1,98454,-1,757347,381562,478798,-1,880895,229706,842240,-1,816390,117191,-1,-1,295782,-1,998070,45715,-1,-1,154937,-1,47103,-1,-1,-1,-1,352004,446420,452440,-1,838073,-1,-1,66494,927674,-1,456454,351650,-1,-1,-1,-1,-1,-1,-1,-1,-1,689620,-1,-1,-1,-1,-1,620467,-1,625736,352603,-1,703696,-1,-1,937052,762248,609625,811595,977724,249779,-1,-1,-1,793795,562577,774925,-1,840370,-1,-1,708412,-1,-1,-1,-1,474002,-1,642975,-1,311912,-1,226929,-1,-1,818268,-1,224754,-1,-1,146352,-1,-1,498769,-1,567710,-1,-1,40693,643539,-1,662831,-1,-1,994000,266260,55586,-1,-1,624374,-1,595442,997518,-1,802819,-1,-1,34349,-1,-1,363865,749045,-1,-1,-1,179799,902684,-1,668891,585283,261220,-1,65257,972786,-1,427817,495896,-1,972031,456427,283088,-1,-1,-1,-1,-1,786802,-1,-1,-1,41916,-1,654005,336752,-1,788404,380985,486345,-1,566612,-1,284384,-1,-1,-1,229526,-1,340269,257125,626627,-1,-1,377916,-1,-1,-1,369502,-1,114430,-1,856536,709602,955728,-1,-1,353358,-1,461568,-1,753932,528446,-1,705232,-1,679414,705335,-1,210717,783245,-1,339337,190631,821169,525597,-1,-1,-1,-1,739827,-1,-1,358595,-1,448864,-1,-1,298665,-1,-1,-1,-1,-1,692349,-1,255771,-1,-1,20871,-1,455730,419247,871841,-1,600473,630250,775987,892586,-1,-1,-1,-1,692766,508225,-1,-1,63124,-1,-1,-1,82609,183258,-1,-1,727926,137089,163979,-1,-1,456622,-1,142836,702164,879557,933708,-1,-1,-1,681099,461192,-1,555186,-1,885092,-1,583731,-1,-1,460507,-1,275816,-1,-1,791526,-1,-1,897133,-1,-1,66917,625112,-1,-1,-1,-1,101325,-1,-1,-1,-1,-1,845656,-1,127045,-1,119265,165017,510579,-1,979512,147142,682559,1076,-1,-1,-1,920185,17096,885387,-1,627501,519943,354648,-1,-1,25603,536540,-1,-1,-1,935149,-1,580760,-1,275992,625922,762605,-1,879026,759973,-1,431349,-1,848441,-1,-1,-1,590087,169049,346117,777853,842793,-1,-1,-1,778513,-1,960571,-1,-1,281415,-1,-1,249929,-1,474341,214167,543234,-1,-1,765035,-1,496578,54107,394264,-1,989101,225265,-1,701062,827000,-1,-1,609631,-1,212047,135109,34333,339079,308091,-1,-1,893030,-1,236354,-1,398921,-1,-1,-1,854962,433350,-1,-1,-1,151305,773676,-1,-1,280586,-1,-1,-1,-1,-1,-1,490436,212681,-1,-1,-1,768290,-1,-1,387095,45173,482099,-1,-1,944005,931413,413028,-1,757523,-1,-1,210035,446975,-1,863800,-1,-1,72202,-1,489619,887835,364280,691398,162019,-1,112376,696161,291619,-1,-1,-1,770004,-1,451986,-1,-1,-1,-1,399412,112170,342978,413482,-1,-1,686838,-1,-1,-1,-1,-1,686026,483406,936756,-1,-1,924963,560332,403756,672873,-1,607825,850472,163294,-1,-1,559693,56972,24870,697827,378671,185247,-1,363011,-1,-1,-1,545291,570622,783788,-1,287023,374154,-1,-1,-1,170855,556747,327369,-1,622977,422040,390940,-1,-1,-1,-1,-1,-1,147966,457304,-1,-1,588955,-1,796888,-1,-1,118925,788894,-1,133751,-1,794970,278028,695588,-1,-1,815244,274877,-1,896029,-1,682631,266187,301053,241300,-1,-1,443001,-1,402877,-1,-1,684928,632140,-1,854067,-1,-1,632341,768373,357815,-1,588669,903631,615878,13338,43579,-1,-1,872231,-1,790572,-1,-1,673399,-1,394715,-1,228739,129309,-1,-1,-1,-1,615617,-1,-1,-1,577775,503934,-1,479162,-1,-1,879391,-1,306956,627345,-1,-1,-1,-1,965700,-1,-1,-1,-1,-1,-1,971900,707041,-1,762484,726993,-1,81774,834916,203882,-1,627857,-1,100817,150588,691171,963415,792128,-1,599802,346550,-1,483489,-1,6353,494362,-1,883274,640536,639621,975332,-1,-1,759176,808518,-1,-1,181240,-1,913595,442806,772801,-1,495580,-1,-1,951617,491326,-1,328945,416737,-1,627338,-1,-1,-1,-1,-1,-1,13289,472078,647509,672298,-1,108497,915138,-1,-1,-1,952268,-1,-1,584768,631437,-1,-1,-1,-1,968731,187543,-1,736426,-1,257417,-1,-1,624896,800575,-1,-1,-1,294813,-1,280175,901719,390649,-1,576408,-1,-1,684501,-1,-1,853710,-1,941531,580508,531251,585453,101513,941756,478910,-1,307261,979033,-1,-1,211252,490393,115154,40321,171155,-1,-1,-1,569467,-1,-1,-1,-1,-1,481558,-1,-1,962579,74412,-1,690884,795624,-1,84279,-1,-1,-1,-1,710688,420239,-1,476455,422064,710629,550497,701347,-1,-1,-1,-1,-1,756550,962027,11761,328991,-1,682739,-1,-1,-1,488121,436517,949819,650016,867627,262525,-1,-1,396171,-1,983986,-1,-1,-1,-1,536410,66009,874084,-1,212995,405127,715686,584488,-1,864703,-1,-1,856367,130815,736249,275914,215021,326451,228682,-1,-1,-1,312638,-1,628159,-1,-1,366221,618398,380334,-1,-1,503465,935935,597874,786725,-1,-1,-1,398070,504744,69378,523042,466340,531828,28961,109860,700159,789534,-1,-1,-1,617277,262238,-1,-1,309517,-1,937946,-1,872898,100528,-1,97140,322607,38237,-1,359998,349952,-1,416819,-1,-1,119067,217491,-1,-1,-1,-1,367625,-1,-1,372646,-1,824591,-1,416428,973835,-1,-1,-1,719683,-1,-1,-1,830873,33350,27727,838281,-1,545048,17382,-1,818975,290549,360377,520897,476335,550407,-1,-1,569906,653788,168296,-1,-1,396979,102058,-1,973263,166334,-1,850368,933378,587061,884779,-1,-1,815092,-1,-1,-1,-1,-1,-1,-1,544627,717942,85752,514346,514067,858878,-1,845641,-1,487564,-1,-1,21019,269071,-1,629761,-1,-1,-1,-1,818009,200717,-1,942764,-1,-1,822681,-1,681718,-1,-1,-1,925439,374307,-1,-1,-1,579315,-1,717844,950576,602791,103050,-1,-1,806650,-1,951375,498546,904373,-1,986259,684232,-1,-1,-1,-1,-1,-1,-1,943490,-1,-1,467068,-1,653968,469887,-1,-1,797645,-1,-1,-1,999321,-1,-1,207813,-1,490549,-1,259792,-1,-1,-1,325025,-1,-1,916503,239381,-1,218618,-1,554932,308975,879117,355093,-1,959391,263537,648363,552872,-1,-1,27158,-1,580224,-1,348125,23256,-1,58668,141521,-1,-1,410011,-1,520989,-1,419502,130583,-1,-1,500186,333917,808858,634777,-1,-1,-1,507809,-1,-1,557486,-1,-1,-1,102089,-1,38961,-1,-1,432315,731311,-1,482895,-1,-1,-1,-1,811152,-1,665079,-1,584920,-1,620830,780108,612703,-1,637133,-1,632549,460643,-1,201115,-1,817378,383144,507947,-1,-1,-1,993641,-1,-1,270265,352373,303373,479823,968032,408777,-1,-1,886285,712766,-1,941859,465151,174436,174426,367980,549074,-1,211084,559405,78452,-1,-1,940901,-1,-1,425143,487407,-1,-1,362036,70317,865640,977190,852051,-1,-1,-1,-1,-1,-1,-1,814170,-1,942024,-1,548285,647552,640303,-1,883238,-1,-1,-1,-1,959102,98789,657565,127404,-1,-1,-1,-1,813188,-1,665245,84475,526701,65421,-1,-1,171301,863928,107703,-1,457171,246675,-1,121288,445459,-1,-1,-1,817614,-1,886890,-1,618077,-1,-1,-1,-1,-1,984463,890104,332591,-1,218417,-1,220242,-1,976521,-1,668631,-1,-1,-1,938882,-1,-1,-1,-1,-1,-1,-1,723580,775117,992010,-1,391622,-1,-1,-1,107447,111048,-1,-1,-1,935518,-1,-1,-1,718240,-1,-1,-1,-1,842578,690375,-1,-1,-1,-1,-1,-1,144044,-1,-1,-1,256809,2830,633515,-1,-1,861409,561647,-1,629861,44468,-1,933948,-1,682554,649074,-1,-1,53396,-1,616285,17178,989883,654556,-1,821502,178146,407186,787631,258607,584600,-1,893625,627059,-1,-1,545879,-1,-1,198664,698314,-1,-1,912427,-1,-1,-1,736164,905930,-1,-1,823377,113864,87923,958568,619248,75168,-1,-1,-1,-1,-1,235910,-1,465162,-1,200092,16914,-1,-1,-1,-1,279984,953054,501773,-1,916264,314146,56746,828074,369419,-1,-1,248501,322855,661874,203089,-1,327099,-1,-1,243579,195258,901154,321479,-1,-1,-1,9205,404061,895019,-1,182716,-1,530105,110935,-1,486234,904712,-1,-1,497358,138175,-1,992232,699470,798851,-1,-1,-1,-1,900772,782594,406871,-1,-1,-1,953765,420635,372227,-1,549776,649175,543131,-1,-1,-1,-1,-1,232836,997835,907204,295280,-1,-1,782937,-1,738630,-1,-1,439949,-1,771070,-1,-1,-1,79234,692223,376192,178915,-1,224557,-1,-1,442539,-1,515590,-1,651527,-1,-1,764883,-1,771034,-1,461134,64462,-1,546399,-1,41433,-1,815880,-1,853061,106082,-1,-1,-1,-1,-1,-1,-1,329550,250971,828411,-1,105518,-1,208348,265357,-1,-1,101556,-1,-1,932584,796654,865817,188207,-1,-1,15930,539851,-1,-1,923733,-1,547432,-1,177209,84637,-1,-1,539236,-1,109111,420668,283321,-1,-1,750214,246335,522455,-1,154172,324378,-1,-1,273737,-1,76058,26657,412644,503349,580609,-1,746594,441210,3819,-1,886297,704298,661605,-1,-1,744581,730772,-1,-1,-1,766342,870903,462728,-1,-1,-1,-1,217720,913887,-1,-1,513545,-1,443679,650262,690332,-1,-1,-1,264467,-1,-1,333384,909732,10480,584935,531367,-1,610950,-1,-1,210376,309530,-1,-1,529529,-1,-1,-1,-1,243535,540800,-1,-1,583898,-1,-1,336872,515978,-1,235384,-1,-1,-1,650008,-1,-1,539226,518708,-1,435800,637193,663597,127051,321506,598529,507095,-1,136251,-1,597270,518294,-1,-1,680674,119739,795402,-1,-1,439819,772648,691812,949400,713063,256786,-1,316434,-1,956479,529317,-1,-1,686978,-1,221256,607824,141846,-1,-1,466336,207498,-1,-1,123842,-1,-1,575642,-1,-1,394578,760695,-1,110274,968039,260956,-1,-1,-1,-1,115599,467485,-1,-1,-1,-1,740014,-1,94758,797518,-1,107429,985878,-1,691950,-1,477617,-1,16007,829683,-1,724077,-1,465047,689986,151629,553552,617374,-1,-1,-1,-1,-1,-1,537332,168198,839535,688644,442126,-1,163199,-1,-1,-1,586171,-1,162189,-1,-1,93035,-1,525872,-1,967516,490053,982374,567795,-1,97426,806312,-1,715793,-1,-1,-1,-1,195731,-1,818966,-1,-1,-1,143076,-1,515827,807205,-1,270255,963102,596933,140859,-1,-1,500325,-1,-1,711077,655748,850630,-1,-1,-1,458837,119295,135697,-1,-1,-1,-1,-1,1632,-1,-1,361319,759460,-1,946046,122854,205933,-1,-1,778100,-1,-1,719202,-1,-1,-1,-1,550162,713597,842453,-1,114897,-1,-1,585834,378973,743062,-1,541450,-1,-1,-1,-1,151389,462640,305464,-1,150812,-1,964984,819542,-1,29150,633972,546897,-1,760099,-1,965724,-1,673311,-1,-1,332866,461540,-1,264492,456116,178567,826646,451115,610114,217875,162866,-1,767727,138683,-1,348625,-1,699415,-1,965638,-1,-1,766326,-1,963605,-1,-1,624356,-1,-1,-1,23703,661315,-1,977109,688638,462379,727870,-1,75947,90747,207794,-1,970041,560208,468209,823416,831743,47078,925999,-1,-1,-1,553334,464698,188289,857404,772290,930698,462210,848713,583569,936237,58944,236936,-1,-1,-1,203010,-1,-1,52774,214444,33933,-1,336687,152568,-1,-1,-1,-1,659552,969343,115747,237655,561997,338527,385345,-1,941241,177795,-1,459259,-1,-1,-1,952314,-1,-1,-1,568670,526513,687342,-1,712503,386527,-1,453293,-1,-1,230526,-1,964322,222664,-1,282346,-1,-1,-1,-1,233896,81565,995104,751858,-1,-1,-1,835275,-1,210998,-1,533322,-1,338759,-1,680888,-1,136373,387550,920957,290016,326165,377444,793456,574210,507828,491669,494300,-1,-1,-1,-1,-1,-1,548269,-1,-1,664391,-1,775997,629085,-1,-1,386765,854131,409143,-1,-1,369271,879420,577509,62113,306584,-1,-1,-1,172094,855152,-1,242537,24510,-1,-1,-1,359999,-1,-1,-1,-1,545514,40299,995206,-1,462124,-1,510042,860806,-1,587307,-1,591072,-1,354423,-1,111693,-1,965654,692799,-1,774086,923902,-1,-1,-1,651840,128832,44312,237155,-1,887930,-1,531758,-1,-1,-1,-1,-1,601789,-1,-1,-1,140541,-1,-1,-1,721653,600096,-1,605624,-1,-1,226810,939443,-1,985037,-1,-1,132610,-1,-1,724445,745593,518385,757162,9401,-1,-1,820001,530831,712304,-1,909476,53189,-1,168648,-1,-1,216667,-1,-1,801478,636669,-1,-1,-1,661176,-1,-1,439688,902283,-1,-1,228482,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,725420,729338,973879,954066,943718,-1,815982,-1,-1,-1,-1,851680,-1,-1,95526,54424,-1,610127,-1,409284,39695,142100,266089,765396,467466,336994,-1,993274,471942,839101,223177,60190,519690,838852,303123,-1,-1,929814,893734,884905,559911,117289,-1,-1,-1,45489,-1,-1,22537,544468,853423,-1,-1,-1,103925,301114,-1,-1,-1,374912,958292,-1,471951,-1,-1,-1,-1,988694,629531,-1,658386,-1,468911,-1,-1,474337,209269,260462,555702,-1,447593,-1,-1,-1,-1,-1,956024,253808,-1,-1,-1,441145,657955,498349,19123,-1,729871,596568,-1,825610,911859,940044,16675,-1,-1,619837,641737,-1,-1,-1,-1,-1,-1,-1,-1,2766,486690,-1,497753,796141,394316,-1,454709,-1,222984,669461,-1,314678,-1,959187,-1,841694,-1,901811,433058,470710,610940,983718,-1,431518,412495,-1,405267,-1,185705,568090,632201,51201,-1,196765,873697,-1,395451,357473,379292,-1,-1,846046,-1,-1,223495,-1,468655,538474,-1,164561,794975,-1,-1,-1,99584,-1,885939,-1,-1,855886,823663,-1,339866,485160,547496,-1,403428,808421,-1,849598,821673,-1,-1,-1,-1,-1,461110,956027,-1,31523,-1,-1,-1,-1,701832,275257,312128,-1,679942,452510,-1,-1,492977,977383,-1,209543,146578,-1,-1,-1,-1,382987,-1,-1,512776,430971,-1,-1,714585,408549,375513,-1,437929,803718,918160,479128,-1,650880,733412,539691,-1,-1,666827,-1,17540,631523,-1,-1,-1,261525,-1,751358,815467,-1,293880,829067,-1,-1,-1,-1,-1,542492,-1,893209,323552,244036,-1,-1,-1,-1,-1,472342,-1,60323,804644,815551,469700,733952,252335,-1,768061,-1,-1,320648,-1,16191,-1,-1,689409,872158,548214,-1,-1,234825,-1,310949,908845,483173,-1,-1,-1,160158,463085,-1,631317,516868,-1,238140,804793,-1,762319,358348,748776,-1,-1,-1,-1,941927,664179,-1,-1,-1,-1,-1,-1,-1,410786,-1,951543,-1,715123,-1,-1,-1,680609,-1,809411,-1,595353,-1,296258,-1,-1,3907,13487,245646,120255,-1,-1,866743,-1,-1,380526,335380,283512,-1,-1,-1,-1,108132,110584,626889,22142,-1,803932,314156,249181,492793,795912,-1,551963,-1,-1,63373,908633,-1,-1,588947,-1,671240,-1,768127,-1,-1,-1,-1,453555,-1,30138,-1,-1,-1,630226,25718,-1,549317,171001,915699,891465,523120,894471,871818,275079,-1,728220,-1,873608,-1,272606,-1,864072,748981,-1,-1,-1,-1,-1,306604,72249,37603,163366,-1,637198,963733,414707,676595,729894,-1,273163,-1,472080,-1,-1,-1,275974,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,818617,-1,-1,-1,-1,658460,462315,-1,-1,914942,822192,738663,615890,487614,-1,-1,342267,-1,733228,-1,393094,-1,912816,640383,566321,-1,-1,-1,-1,685269,393338,-1,-1,873332,-1,-1,-1,800630,767924,121760,-1,-1,993216,-1,533200,815928,-1,-1,905144,-1,348907,100975,-1,400978,-1,692346,-1,-1,-1,-1,728664,278536,181761,714268,126456,-1,673172,-1,976005,498548,850297,-1,869220,86979,843219,618496,735833,-1,-1,548221,-1,524011,-1,704646,-1,-1,-1,153998,-1,-1,468628,582022,-1,269731,485899,782635,867427,-1,-1,-1,980641,113467,-1,47907,-1,-1,-1,425472,635007,-1,-1,687973,124197,-1,471590,435640,666598,821957,916719,246020,963872,565349,-1,960597,775107,832535,246297,705437,473079,-1,-1,-1,928991,-1,-1,268186,391107,698890,-1,-1,-1,592206,-1,507693,311892,-1,819401,-1,-1,-1,-1,-1,228280,179034,-1,-1,-1,663774,697016,456991,710117,615164,357488,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1316,-1,-1,330148,820791,900056,-1,-1,-1,-1,282972,-1,-1,29340,-1,526760,-1,702028,-1,671737,690572,-1,-1,723592,-1,530268,-1,-1,-1,452905,829317,-1,507710,45781,-1,134636,663979,291868,816971,-1,363319,161466,-1,405217,779007,389462,384154,206500,-1,-1,347413,-1,189320,189567,-1,-1,141941,676984,-1,-1,208689,210462,342641,898021,292096,-1,967106,-1,346040,-1,463782,-1,-1,-1,-1,-1,862622,523732,663299,642701,-1,448698,-1,970737,-1,-1,231852,501945,636083,-1,-1,208779,-1,521205,405379,927848,-1,396388,-1,779848,484116,-1,-1,-1,-1,854059,-1,523366,712797,-1,-1,-1,874607,-1,355020,-1,665244,-1,825425,913139,857596,-1,206460,-1,-1,-1,618211,562496,-1,-1,351679,-1,-1,-1,626612,-1,-1,949662,-1,-1,671571,-1,56803,-1,-1,-1,-1,144367,-1,562630,442452,643611,-1,-1,942536,425516,296532,913594,930215,622250,490583,-1,200828,867362,114204,-1,-1,-1,-1,945032,265143,606088,-1,930170,337161,-1,47747,-1,255828,2999,-1,596345,756094,732391,272000,-1,-1,430825,-1,469066,30656,340763,-1,-1,5337,495630,-1,859945,460863,842274,169920,-1,-1,-1,575557,-1,759722,18646,-1,-1,-1,288471,782484,204265,949504,890891,316223,-1,766377,-1,-1,-1,-1,-1,-1,887460,-1,314066,665070,266203,889177,-1,936896,989798,366875,-1,-1,305942,840101,-1,731303,-1,714397,883806,296876,657488,934165,197090,725090,682927,845810,-1,-1,-1,-1,-1,601954,-1,881937,-1,-1,-1,-1,-1,-1,472349,-1,-1,283897,-1,-1,276032,-1,230269,888108,-1,-1,444930,132241,-1,312205,-1,265896,-1,854820,-1,376280,227399,368312,733803,821632,206016,-1,546336,-1,41350,808244,-1,603204,262620,695528,-1,227503,844745,304399,414388,172622,-1,494234,-1,110276,90381,-1,809711,335814,178261,73544,736540,-1,-1,422266,360381,541298,-1,304252,-1,832079,53458,-1,499410,334768,391118,-1,199891,-1,-1,230223,-1,303517,-1,602989,44311,354089,44225,443376,389689,-1,-1,883731,31835,-1,951262,-1,875778,591357,-1,-1,-1,479342,-1,807161,-1,4695,522752,-1,678855,774619,-1,738914,137139,-1,-1,404883,-1,-1,-1,-1,-1,-1,-1,646466,698210,-1,5536,127971,490732,-1,644131,-1,41320,161429,187712,-1,820536,-1,-1,220114,-1,-1,-1,608694,824915,-1,55417,-1,-1,-1,822209,725778,594252,595899,-1,-1,-1,-1,117905,922989,-1,-1,-1,-1,-1,36597,679198,989030,286679,112261,-1,684823,684536,-1,-1,-1,93976,525927,-1,996169,179043,-1,885771,896129,-1,-1,-1,-1,-1,797414,260806,-1,898333,-1,79909,64456,878325,-1,14580,-1,-1,-1,-1,-1,160413,-1,-1,190888,-1,649471,-1,-1,-1,887054,729578,520959,479041,-1,-1,672688,-1,-1,653648,98119,803116,-1,193122,-1,-1,79248,679250,151947,329186,-1,41823,950822,-1,993946,648097,507086,887322,-1,681601,673628,37539,-1,4424,-1,373863,969345,-1,824200,-1,-1,-1,-1,550063,-1,992506,256764,-1,183297,-1,-1,961540,730361,379676,768794,-1,919384,528520,-1,-1,-1,287201,108794,-1,-1,-1,150629,-1,723770,241140,193263,-1,-1,243846,-1,-1,-1,-1,850918,246482,870958,-1,-1,-1,-1,451073,40759,-1,-1,844290,-1,-1,605361,793469,73923,359550,-1,808528,97718,817662,759877,20613,777127,102277,-1,-1,970002,304899,-1,-1,-1,465427,-1,-1,-1,-1,-1,-1,919214,210457,552820,856343,728697,-1,917246,83070,-1,-1,571340,446890,-1,430697,601296,146088,-1,831305,-1,86382,636764,-1,162501,187337,730694,-1,-1,534721,618952,639558,-1,201593,477862,-1,238784,-1,321119,-1,410648,-1,113235,-1,211659,769551,-1,497332,-1,-1,594168,-1,-1,633335,156108,161255,-1,-1,607669,845979,970951,104005,-1,-1,-1,-1,338936,-1,-1,777694,139766,610136,-1,545720,422456,-1,-1,450041,437017,-1,-1,699222,-1,667732,964514,36763,-1,223587,166517,481512,-1,121489,-1,-1,490001,-1,460114,-1,-1,-1,-1,557194,312097,-1,567377,-1,634143,-1,-1,716192,-1,634867,-1,640808,-1,-1,841937,-1,125188,-1,-1,363866,-1,-1,-1,275789,488176,731702,400718,-1,528998,-1,976814,-1,-1,-1,-1,-1,-1,994598,678375,-1,-1,283169,-1,520616,738121,-1,954380,-1,729796,-1,-1,-1,862033,807999,927231,351379,393358,-1,790852,-1,36466,-1,-1,725940,19026,-1,917470,-1,-1,-1,577676,-1,-1,-1,-1,222041,983182,254715,-1,422080,561716,397412,-1,777506,-1,-1,913201,-1,-1,241591,-1,348714,-1,-1,-1,-1,174850,-1,825570,497718,538251,725048,-1,-1,-1,-1,-1,-1,670040,-1,-1,949524,-1,1422,-1,777278,56131,-1,-1,-1,841687,-1,-1,-1,499990,-1,445167,-1,424671,128289,-1,-1,663456,-1,-1,593137,964169,-1,945176,986294,404900,731570,818628,112591,-1,829833,-1,948893,-1,-1,245769,-1,-1,311819,95714,22942,853348,291506,728880,373980,474147,-1,-1,-1,764492,807185,-1,889756,-1,57688,-1,996238,-1,-1,-1,211088,891835,-1,-1,224069,706494,746079,461585,661922,-1,-1,-1,-1,956039,64315,-1,487325,368191,223728,163569,926521,-1,764337,517198,-1,84462,335647,-1,-1,533947,742797,-1,671148,-1,995446,664732,330404,-1,902465,47741,966919,935863,540425,378833,456327,7085,-1,691492,-1,855267,-1,-1,486022,251567,874580,-1,350114,-1,-1,-1,410977,-1,643493,59300,991659,240114,667154,-1,-1,985154,-1,-1,-1,710492,-1,-1,928860,209495,-1,523076,-1,270760,-1,-1,-1,192455,-1,-1,-1,475520,748888,-1,-1,695122,914353,713437,-1,-1,-1,608593,-1,609811,175312,-1,670639,695055,-1,504265,-1,-1,45823,478346,445500,560135,-1,-1,288630,-1,468688,-1,406529,-1,-1,426293,-1,-1,803508,136071,224338,302082,161141,-1,-1,844964,-1,-1,712303,504559,-1,-1,-1,412934,-1,-1,478914,-1,26525,442614,801549,121279,-1,-1,880206,161492,415313,-1,641510,-1,161289,56576,188542,-1,-1,-1,-1,843036,288192,-1,-1,-1,-1,642727,-1,809505,358071,392657,-1,-1,-1,-1,4011,586896,-1,-1,212815,-1,-1,717230,873666,-1,943074,-1,999655,495792,-1,181328,-1,-1,-1,-1,-1,829129,522834,-1,-1,668868,811525,27403,-1,-1,-1,597158,-1,121034,858930,826423,-1,689520,-1,-1,752276,523881,46237,-1,964772,286215,89018,167420,-1,771041,93476,187725,-1,-1,790309,-1,520395,71663,73816,864774,-1,-1,438952,455485,26941,739733,-1,713449,-1,-1,802154,-1,359729,-1,915787,266893,-1,717240,941308,565918,573921,56299,838267,-1,867425,-1,-1,-1,-1,310226,-1,-1,32204,-1,-1,-1,-1,294201,408278,627803,-1,-1,171679,510085,410251,-1,-1,-1,-1,-1,395073,259826,-1,-1,-1,-1,-1,-1,-1,946075,-1,343421,-1,165302,692030,608355,-1,-1,263010,-1,627866,-1,-1,407053,-1,356459,803145,707604,337853,280773,-1,7380,-1,453766,671836,121184,-1,-1,-1,137399,-1,-1,909435,-1,-1,-1,-1,-1,601316,-1,-1,756327,861581,-1,507134,-1,-1,550529,689500,667069,876705,403529,718468,854314,-1,-1,-1,304486,-1,689811,609469,303298,875109,-1,70805,104494,-1,-1,820690,77029,-1,-1,-1,-1,429411,-1,-1,253067,407999,18750,-1,422804,79223,-1,-1,-1,-1,-1,715016,-1,-1,-1,97328,40293,-1,602527,562869,-1,735592,-1,-1,-1,-1,-1,-1,117957,-1,893100,229490,-1,-1,638317,797042,642744,842600,-1,-1,-1,-1,-1,-1,-1,-1,877737,763849,-1,-1,776001,596116,-1,-1,-1,271248,970347,14466,-1,-1,-1,234605,454014,383838,993874,-1,-1,-1,435446,-1,-1,194178,-1,-1,-1,-1,-1,212365,288499,-1,-1,42094,706314,219342,478628,-1,261754,713598,-1,483545,-1,-1,-1,-1,843506,-1,-1,867781,-1,663295,-1,60675,-1,-1,727504,264011,207710,120667,-1,-1,-1,910731,-1,653574,-1,722049,328399,880371,-1,-1,-1,-1,725171,63179,749841,-1,-1,-1,-1,154621,704553,-1,-1,366839,712351,630755,-1,824867,370785,-1,-1,-1,-1,802219,-1,525815,-1,-1,-1,502547,-1,-1,810623,189280,340211,99049,686896,128231,-1,995487,241049,-1,665541,-1,-1,879655,-1,667718,600692,-1,-1,778654,462971,-1,667594,-1,364532,45963,-1,541142,861306,-1,-1,-1,253644,-1,-1,304065,981528,303910,352785,732765,840195,677900,647264,-1,654788,-1,348958,-1,-1,73575,-1,-1,500694,567678,-1,29227,-1,-1,701724,489403,-1,-1,-1,-1,266858,-1,-1,128311,-1,-1,655674,243067,-1,397132,-1,996368,-1,272462,573929,-1,-1,-1,-1,-1,-1,514340,88503,-1,-1,-1,-1,510991,639571,217521,760264,248110,-1,539111,-1,3938,-1,-1,844353,-1,733004,743222,79397,-1,221619,-1,-1,-1,897358,785204,596308,-1,-1,-1,841444,-1,-1,-1,-1,48983,112730,415435,640925,429601,206885,-1,-1,-1,262729,-1,-1,283450,840083,997169,-1,684722,-1,72879,494972,676700,133180,897208,929213,-1,-1,-1,26431,720876,307397,976441,-1,813962,-1,901153,-1,480235,-1,-1,882139,-1,-1,-1,394456,-1,648609,588828,535930,-1,-1,-1,929699,481084,-1,552626,263843,-1,474755,-1,142354,-1,-1,68095,-1,-1,227362,524285,-1,-1,-1,798077,-1,-1,-1,649693,960008,8701,-1,-1,-1,-1,90428,-1,-1,99778,-1,-1,-1,-1,-1,624613,485903,-1,817885,-1,-1,746259,-1,901939,147104,423343,140627,41203,639503,-1,332685,397426,959585,-1,195052,-1,-1,938726,-1,304074,-1,-1,-1,-1,511297,-1,-1,-1,-1,198323,-1,-1,-1,280571,181439,-1,666572,412036,-1,-1,672318,-1,925014,826313,-1,-1,-1,297136,380214,-1,-1,-1,-1,126953,785386,-1,565328,-1,524216,990248,-1,-1,61593,-1,96907,-1,463060,646847,754216,728882,-1,-1,26977,-1,391519,57072,679275,660318,-1,431696,-1,702168,992980,990008,567300,-1,684034,-1,-1,410028,844204,-1,-1,457413,878159,364021,-1,689604,-1,229816,-1,222052,803189,-1,964446,116887,591322,-1,877718,-1,783729,429771,450775,153375,895600,689895,-1,113635,-1,-1,631145,616755,-1,-1,822815,824453,-1,623867,-1,-1,501638,139836,-1,347358,551245,-1,-1,-1,145102,-1,273430,949930,855191,843581,114921,199166,-1,744096,943877,56482,-1,-1,-1,921356,-1,-1,-1,471382,-1,670699,175888,118463,633440,-1,788662,779756,864851,-1,645480,499336,-1,-1,178100,309249,791686,-1,-1,780629,-1,882267,396209,-1,-1,-1,735378,-1,918227,587778,858536,-1,222438,497758,547070,905402,579888,-1,-1,-1,245398,182111,652402,-1,-1,-1,531047,338506,-1,-1,-1,824683,-1,-1,881267,-1,905939,253466,647573,-1,507018,251731,-1,76563,613063,-1,502469,-1,431620,-1,53493,19779,941357,-1,-1,-1,-1,407608,-1,-1,838646,850900,123923,-1,-1,815722,823044,848839,-1,568611,-1,-1,87510,-1,368445,595044,335195,500954,616667,-1,601213,603991,30677,997191,-1,211127,349370,-1,-1,-1,266336,-1,98884,991052,-1,754568,727289,593769,-1,469731,257753,-1,-1,768070,552943,-1,343050,-1,570522,-1,310790,-1,142340,201554,-1,-1,706371,505595,-1,-1,-1,-1,-1,-1,810011,197804,369632,-1,-1,648716,-1,-1,-1,272641,165206,-1,-1,735012,961763,552791,101833,-1,28754,816580,-1,321870,938749,-1,-1,-1,-1,-1,7713,-1,535132,-1,-1,-1,-1,918086,-1,257160,-1,-1,730049,-1,320835,418085,362401,388460,80077,-1,-1,-1,-1,996809,-1,907666,599087,236385,150441,-1,134728,814822,-1,-1,212229,383288,-1,70823,-1,-1,359670,-1,-1,179462,-1,-1,-1,-1,-1,-1,136258,-1,-1,938652,396193,-1,834248,243337,-1,585995,-1,309614,-1,178569,992792,-1,-1,79238,-1,-1,839287,-1,599787,293202,759733,-1,-1,218105,788740,44072,-1,200257,-1,741316,-1,805411,420485,-1,145809,19996,-1,-1,-1,34977,892032,-1,-1,-1,-1,-1,254042,306398,711877,753147,218748,358823,-1,-1,555289,-1,-1,639992,-1,-1,-1,-1,694135,-1,-1,-1,595048,628292,148440,-1,165195,-1,-1,582521,314392,172493,694753,-1,-1,-1,477392,-1,-1,-1,-1,776258,-1,-1,-1,-1,455214,42056,-1,-1,-1,909318,657517,711654,-1,-1,-1,402479,250080,157911,191098,796793,945965,525811,-1,-1,446048,-1,-1,279271,-1,299558,-1,826862,-1,373975,653289,879693,753614,961674,816608,-1,-1,-1,20742,-1,-1,779319,-1,-1,468931,267436,329465,310723,346967,-1,507818,882016,898715,-1,-1,-1,-1,458496,-1,-1,-1,380496,764671,98810,-1,-1,-1,-1,239007,901374,-1,-1,614384,218773,399107,-1,-1,268390,-1,-1,326031,503133,-1,402513,886242,-1,-1,602230,858442,-1,832696,-1,19165,-1,-1,389068,-1,-1,-1,920861,349287,-1,216756,654784,831206,923765,809881,663813,-1,-1,222857,-1,725432,-1,630864,-1,-1,-1,919255,-1,678507,-1,895475,-1,-1,-1,-1,207936,614366,-1,-1,-1,245285,374171,-1,-1,-1,664038,372389,264968,-1,-1,506994,237520,-1,-1,983042,745609,-1,-1,613618,-1,690970,511320,-1,-1,528555,-1,-1,-1,-1,394425,811418,367743,-1,711476,537589,292473,-1,-1,-1,-1,24901,-1,231557,101533,282702,-1,-1,230199,-1,892576,998224,-1,-1,-1,-1,-1,299596,-1,903870,403883,471242,-1,884895,-1,586877,214532,767615,680054,161223,-1,392411,122984,177174,-1,-1,217032,-1,212952,-1,-1,-1,903791,-1,-1,-1,158643,809265,-1,586425,-1,-1,-1,-1,265441,-1,702520,-1,434368,-1,901601,-1,-1,114559,397581,318298,-1,789921,-1,-1,-1,-1,-1,-1,-1,-1,548047,790377,-1,-1,83984,-1,-1,-1,-1,743603,-1,-1,109084,-1,832764,295770,-1,553307,259774,741357,-1,-1,-1,843589,393935,514194,500107,476440,89588,831554,-1,246131,398380,-1,-1,19431,7442,560420,203058,449661,-1,-1,-1,589672,325032,-1,55551,-1,877133,946153,235551,537779,155548,828604,-1,-1,862392,-1,249699,-1,141837,571295,299856,-1,704999,988677,-1,-1,837360,-1,141684,537640,806636,128504,262003,-1,181806,210289,-1,831071,680713,-1,-1,624293,-1,-1,-1,317162,686967,-1,-1,68265,275610,-1,228062,687246,-1,-1,-1,366553,-1,-1,62183,399987,-1,9274,2019,831924,890125,-1,-1,347264,-1,286816,800694,691147,-1,575160,-1,470151,-1,-1,867721,512804,813317,553204,-1,-1,-1,-1,503122,-1,475475,-1,638301,-1,801848,-1,-1,317021,-1,386918,-1,810674,-1,501622,-1,-1,852732,214104,124176,818668,719042,-1,-1,-1,-1,553438,424576,410679,783417,325138,-1,123473,591449,-1,-1,603962,115022,572861,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,369547,630636,-1,-1,-1,455095,504046,324654,103939,111850,-1,284247,412518,763336,-1,-1,889606,-1,710664,-1,-1,919722,872347,990813,408915,185163,-1,-1,61294,-1,614864,-1,-1,630912,737381,413904,-1,-1,-1,-1,-1,-1,-1,-1,283016,198346,605206,945358,300389,556865,90417,-1,448298,740272,-1,-1,657862,-1,-1,1064,323713,-1,538683,-1,-1,-1,775431,-1,-1,714584,108240,-1,405141,487685,-1,-1,262050,-1,936471,-1,924809,-1,339714,385926,-1,-1,-1,399977,-1,-1,-1,-1,-1,-1,929580,-1,163684,26176,-1,572996,-1,637031,-1,-1,-1,-1,979975,510096,328416,782758,-1,774953,692529,852093,-1,6930,-1,231489,110253,-1,956265,695500,13043,937529,-1,-1,228588,-1,450151,-1,-1,-1,-1,252286,105691,-1,13210,-1,-1,-1,-1,20218,971499,778600,684286,-1,-1,412558,469567,895677,-1,-1,-1,550546,941797,-1,29983,836847,-1,-1,467048,247994,236124,422874,-1,-1,-1,92756,542842,396106,894800,301169,961433,-1,411252,-1,-1,-1,287088,-1,-1,-1,-1,-1,-1,123087,-1,-1,-1,-1,-1,-1,-1,983079,-1,-1,7598,976906,562806,-1,358388,631479,784801,401785,-1,-1,-1,-1,-1,575016,-1,-1,729702,697243,-1,-1,-1,105861,233608,-1,-1,863293,984717,49734,595302,-1,413611,120722,224014,-1,816153,510142,-1,-1,872268,-1,667601,405907,-1,-1,-1,-1,-1,-1,200366,149645,-1,867055,148502,-1,-1,933517,-1,-1,581862,-1,-1,375688,-1,-1,-1,306832,-1,-1,797201,875770,504515,-1,603956,-1,-1,-1,-1,-1,-1,-1,-1,683684,8837,-1,663244,357432,395352,13594,-1,125306,-1,-1,-1,-1,801790,-1,801626,-1,682272,456770,752249,-1,834360,516426,-1,-1,-1,-1,953760,-1,-1,-1,664102,144664,435872,989461,801987,724854,-1,904964,514321,649670,705838,-1,-1,-1,660719,-1,-1,528689,-1,-1,492296,-1,-1,358970,-1,612827,-1,683198,566904,145424,-1,-1,-1,-1,463226,-1,-1,67462,-1,-1,-1,48682,748893,895365,-1,746798,-1,-1,-1,933910,223712,811495,-1,-1,112564,68743,-1,334932,508459,283571,-1,-1,498906,-1,-1,-1,22895,-1,308326,147378,-1,565725,-1,-1,-1,853910,873438,649028,-1,-1,-1,716056,301805,-1,75107,-1,81676,781296,788764,479704,202119,-1,-1,-1,-1,-1,-1,-1,-1,32985,-1,918859,994089,622824,98247,-1,3778,654635,-1,-1,476021,144408,-1,897941,786651,45469,-1,489720,-1,296877,974185,399164,-1,525842,370336,-1,646284,-1,432073,388637,644681,-1,-1,226990,589264,498266,122495,-1,253263,800672,916590,449974,-1,51973,-1,793653,-1,-1,-1,610009,898290,310706,-1,233634,-1,-1,952938,-1,-1,-1,-1,578661,960301,-1,499357,378468,500698,-1,396063,636833,66603,266709,558503,317159,-1,-1,667872,-1,-1,101099,-1,678669,986785,163752,-1,-1,-1,-1,-1,-1,-1,5251,-1,-1,431929,205466,-1,855580,-1,787742,960138,702859,-1,-1,804693,-1,836952,590614,462615,556095,936487,932548,-1,-1,130370,-1,-1,-1,806135,-1,832879,732298,-1,915459,-1,-1,-1,-1,-1,-1,791386,-1,110513,-1,-1,792853,754916,765501,-1,-1,581935,376014,751002,-1,-1,-1,-1,134156,-1,-1,289725,-1,202379,767264,-1,397659,283999,-1,-1,885732,-1,-1,-1,-1,-1,602579,-1,840794,711396,-1,-1,899751,415390,993548,417612,103667,-1,-1,-1,536505,-1,762465,-1,982265,479811,653104,488328,-1,-1,-1,-1,-1,-1,-1,-1,257926,-1,826824,491682,673123,-1,-1,851142,-1,694862,-1,966722,-1,740508,797910,-1,-1,809031,482703,687807,934378,121360,-1,398281,689833,887718,906753,835333,-1,39726,-1,-1,-1,-1,850943,8658,-1,-1,-1,-1,-1,-1,-1,806228,-1,-1,292838,905848,691061,707903,337041,-1,682897,-1,390302,-1,61385,-1,-1,-1,153377,314319,-1,569219,-1,941710,-1,-1,-1,-1,171227,-1,-1,-1,459325,-1,-1,439929,-1,445831,955388,132345,785544,139050,973191,-1,-1,39914,-1,351204,366572,-1,874545,245761,581138,998793,60607,-1,862235,448455,359696,610463,-1,-1,811898,-1,-1,245051,-1,-1,215416,-1,-1,770788,-1,-1,-1,-1,-1,339697,742997,-1,294148,-1,-1,137900,-1,-1,680696,-1,397524,-1,-1,178316,-1,362380,406298,665555,-1,971597,-1,-1,166626,-1,-1,-1,-1,218466,173407,-1,-1,-1,337561,483375,772112,974771,308922,-1,-1,-1,178375,-1,563425,-1,569401,771694,-1,-1,-1,653020,-1,294151,335659,137291,481255,327834,-1,-1,211097,577006,808375,280263,-1,353084,440639,-1,215405,348094,728294,768473,-1,-1,-1,-1,-1,631836,-1,611041,52286,557684,-1,28298,-1,-1,-1,-1,980079,-1,-1,-1,-1,905438,130021,-1,-1,-1,925513,888483,-1,-1,820944,-1,29797,-1,676150,-1,611391,-1,747209,-1,-1,-1,646430,-1,501404,-1,267993,893402,-1,-1,473274,-1,718572,-1,-1,36760,-1,711418,698891,-1,-1,-1,678186,765944,-1,734201,-1,-1,666540,-1,966044,-1,21403,28431,67567,-1,-1,-1,976037,-1,46484,-1,-1,-1,309086,775556,375853,391792,563371,346220,87233,-1,777205,656219,893101,-1,-1,983328,-1,-1,97175,-1,-1,-1,531569,995863,570944,415952,947047,-1,46491,-1,-1,-1,749473,-1,18258,-1,-1,274868,-1,487747,395954,-1,-1,-1,-1,-1,-1,-1,-1,457939,130057,604488,-1,-1,544613,-1,-1,-1,987770,183132,848884,-1,574149,-1,458646,426619,195385,705306,-1,-1,241902,624471,-1,-1,360862,136597,206596,-1,654405,-1,-1,-1,225322,394577,594500,-1,-1,-1,900707,824630,-1,929237,544953,886982,429693,284132,-1,395825,-1,-1,78629,-1,308849,-1,-1,-1,551876,-1,-1,-1,938136,721281,-1,673531,943688,906719,428033,-1,-1,352519,-1,-1,-1,311602,-1,-1,-1,-1,-1,901602,-1,903511,-1,-1,828415,926052,615092,-1,658062,-1,-1,-1,-1,895305,10767,126376,898792,-1,456340,285721,-1,27028,927043,728728,607946,757039,379008,329766,-1,-1,344463,-1,430782,-1,-1,-1,-1,-1,-1,457595,489321,-1,723640,26479,-1,493033,-1,-1,50852,323982,-1,700675,748586,682229,-1,-1,-1,626461,-1,541310,-1,-1,-1,-1,339959,285635,-1,955786,875516,-1,-1,632839,-1,-1,692729,-1,958442,796718,-1,114920,790188,-1,-1,-1,640926,-1,932828,-1,916214,76313,625807,415108,738078,-1,-1,-1,-1,296376,-1,-1,883837,681245,495096,428234,-1,-1,-1,-1,286261,-1,-1,806865,-1,-1,-1,-1,-1,-1,-1,519065,-1,-1,-1,617838,793281,-1,-1,-1,-1,470898,-1,-1,-1,-1,854521,80713,290258,902085,-1,576318,529907,-1,-1,-1,327655,-1,-1,770147,-1,190217,488399,738059,-1,751579,-1,-1,965016,-1,-1,101512,482014,934590,-1,584803,848144,-1,204844,-1,460195,139654,-1,160349,62896,-1,702303,114612,-1,-1,-1,647140,-1,414592,-1,943363,-1,506743,-1,-1,-1,881938,-1,-1,813654,821535,-1,409926,670323,20600,73308,202437,250269,-1,162301,-1,-1,481233,232090,401445,-1,-1,792942,718620,-1,-1,-1,175276,344097,-1,-1,829217,-1,556628,-1,-1,661254,-1,-1,765830,-1,-1,-1,20230,-1,-1,-1,94396,386475,142231,634792,748214,900297,570891,-1,-1,-1,578579,-1,-1,-1,909166,271607,-1,594786,-1,54608,-1,-1,-1,718424,-1,795850,-1,543976,-1,-1,949418,-1,403694,-1,-1,-1,870164,-1,-1,315923,-1,-1,784983,883246,-1,769317,-1,-1,-1,317712,-1,511524,418695,398082,-1,-1,-1,-1,772282,270685,743165,339475,366126,320977,-1,933450,-1,323339,-1,-1,241499,951323,650644,-1,-1,-1,-1,-1,487394,81239,485561,-1,-1,843922,-1,271668,421884,-1,277365,254149,-1,377466,-1,593640,446419,-1,653645,-1,-1,-1,-1,430875,796071,-1,-1,484245,467773,-1,42996,147875,-1,453553,-1,-1,-1,40044,-1,955386,559516,-1,761373,-1,694924,325410,82504,646282,751082,60125,482472,940201,-1,-1,897649,-1,74215,279443,282782,126719,-1,-1,898648,162461,528540,375454,-1,-1,-1,321208,-1,-1,259024,619240,921752,-1,544196,-1,-1,719298,-1,813821,688320,307532,241099,565489,-1,621175,-1,905534,-1,123389,866576,463023,-1,354883,-1,-1,-1,-1,-1,-1,701089,-1,-1,957793,69736,208596,-1,561931,-1,-1,209637,-1,-1,-1,397549,-1,439466,475935,-1,511089,-1,-1,878077,-1,524574,706129,101664,188255,545122,-1,183261,688575,-1,-1,-1,-1,-1,887736,-1,-1,-1,431207,756301,-1,962825,-1,-1,499014,-1,61484,-1,280473,785226,-1,-1,800841,-1,326038,-1,205687,-1,-1,951727,843033,97108,-1,450064,566961,479271,962008,522465,-1,465283,-1,439006,487803,-1,-1,399913,49378,617142,-1,93732,-1,409502,117717,-1,101113,541208,258000,438649,36878,-1,588794,943100,176863,-1,639060,623129,-1,518179,818111,-1,220854,-1,922677,-1,782250,623910,672447,-1,96389,336166,173332,548325,-1,-1,205047,479642,17828,390651,953066,-1,613286,-1,-1,643945,33848,-1,-1,223460,-1,196488,-1,149741,475701,587837,317090,-1,-1,-1,-1,653155,738006,39109,961156,369705,-1,569656,222317,833055,-1,170744,-1,-1,-1,-1,645106,148134,-1,498602,953361,-1,-1,1548,-1,949232,-1,565839,-1,-1,-1,-1,-1,-1,-1,61061,-1,-1,-1,-1,508447,952983,-1,155033,-1,-1,-1,143143,-1,20887,294275,-1,483101,-1,-1,294923,231397,-1,-1,52318,92766,-1,-1,-1,-1,209799,292260,-1,669714,529813,486693,923603,-1,333723,585200,-1,-1,824849,851511,32217,733706,792773,486120,-1,755795,-1,-1,863869,-1,244756,-1,795660,279215,-1,254660,-1,215743,17039,-1,-1,-1,-1,-1,621549,-1,-1,633150,-1,-1,155350,914935,-1,942985,803548,866182,331136,-1,-1,-1,-1,359290,-1,-1,-1,596694,923074,-1,826411,804278,908645,968859,190375,-1,424695,68260,-1,-1,-1,524582,-1,895770,458901,40807,169944,281517,-1,-1,960229,-1,-1,-1,273522,-1,886124,-1,-1,36521,509141,461227,710444,550435,-1,-1,-1,674088,-1,-1,-1,-1,592547,-1,114577,394312,418786,-1,110383,-1,-1,-1,-1,992675,-1,704873,676538,542813,600731,448514,-1,-1,-1,279145,416904,242373,14606,-1,-1,762541,799656,-1,421805,-1,855851,-1,-1,10038,326374,605985,-1,-1,202661,-1,594703,40510,-1,18496,9049,434815,488582,-1,-1,-1,902481,232098,-1,456043,684661,-1,20552,-1,200336,590169,-1,-1,-1,36620,-1,939764,194495,794882,944944,-1,-1,623688,466626,-1,216042,884413,116857,452186,-1,-1,38763,524173,618305,293077,785583,-1,193908,-1,-1,513394,-1,-1,-1,817910,-1,593134,148779,966071,-1,37400,128121,487653,-1,-1,-1,-1,-1,-1,959754,906926,649742,-1,129761,-1,793637,264304,-1,964118,-1,-1,917018,383366,993009,-1,-1,-1,-1,-1,-1,252563,-1,930162,580086,-1,-1,-1,-1,817883,182265,118120,-1,-1,481356,-1,-1,535332,41000,369697,762833,-1,-1,598430,794021,-1,6312,-1,963348,-1,592,-1,320892,249244,219364,512348,467927,-1,280728,516285,15880,180894,-1,-1,-1,-1,384317,69774,-1,625291,-1,-1,705578,-1,-1,156185,974226,705159,898014,-1,677476,-1,-1,178887,749209,-1,677396,416673,-1,232618,-1,-1,-1,202779,362239,13715,-1,-1,-1,-1,715314,-1,-1,-1,144359,-1,75456,296288,747936,-1,285546,-1,524450,-1,422517,-1,529096,-1,433855,441775,-1,950259,416435,-1,-1,328691,-1,-1,-1,-1,848552,-1,334720,556355,820989,-1,-1,683342,721597,-1,-1,-1,404678,627777,-1,555685,846049,-1,-1,912806,983893,663753,-1,958592,-1,-1,117586,-1,-1,206757,661595,277496,-1,-1,-1,-1,-1,-1,-1,315537,-1,585227,946588,-1,-1,950484,-1,133197,543625,-1,-1,739764,955615,-1,-1,796658,659099,787309,-1,225826,912776,-1,-1,-1,226794,-1,919408,-1,883302,613734,370497,693470,-1,200883,271751,317459,332924,180449,-1,-1,31021,-1,-1,-1,928054,394825,-1,3431,-1,-1,627761,-1,408796,462877,-1,596519,-1,41568,-1,443402,332581,486757,-1,87541,-1,-1,745445,-1,-1,-1,577206,-1,946477,194990,-1,-1,-1,931967,350531,-1,374371,-1,-1,785378,-1,-1,512544,-1,347104,72621,-1,-1,11426,-1,961795,-1,-1,-1,-1,-1,713351,-1,-1,-1,873474,-1,-1,-1,-1,232171,614878,-1,-1,-1,184031,496597,612455,-1,131303,-1,-1,-1,550754,-1,-1,-1,954070,894870,577009,148437,-1,-1,687327,160465,786042,-1,-1,797924,-1,617624,-1,-1,-1,-1,54771,-1,-1,513118,-1,-1,-1,831790,-1,-1,-1,752946,516176,206275,472014,-1,803812,760345,389798,-1,-1,-1,-1,979479,96986,-1,844434,-1,-1,-1,633431,327196,316564,360329,-1,-1,-1,-1,917028,838568,419145,-1,514545,-1,736581,283126,-1,118056,-1,-1,340302,-1,-1,-1,828321,461246,-1,-1,433772,590589,-1,-1,837792,85490,209640,-1,-1,722279,579789,-1,135835,478761,107177,-1,934782,-1,402128,-1,171917,469551,729816,177271,542320,-1,812710,812105,-1,278199,-1,-1,434505,663871,-1,-1,554888,85721,53168,755484,-1,22826,949564,-1,936675,709251,-1,641481,901996,-1,112175,635906,89363,406103,-1,-1,922870,-1,-1,-1,-1,726271,245300,934712,-1,-1,740474,55063,817492,-1,-1,-1,248655,985534,-1,-1,535023,-1,-1,-1,337250,-1,224245,-1,-1,757032,-1,-1,-1,-1,979858,381718,-1,649554,807222,-1,321171,453494,-1,-1,-1,725038,124941,-1,-1,432532,-1,306644,-1,929141,695652,654014,-1,661123,-1,-1,-1,384867,136891,-1,-1,-1,-1,-1,491599,665646,781108,-1,-1,201317,935129,-1,-1,-1,-1,928115,629200,831670,5056,-1,-1,824329,-1,-1,758020,-1,623516,160476,-1,849393,-1,909031,462819,-1,844095,-1,-1,587032,474393,167685,559278,-1,-1,510998,-1,844644,688047,-1,338409,74902,-1,674578,893339,851174,740882,-1,144165,-1,502399,-1,-1,-1,927916,598711,-1,-1,-1,24822,466275,-1,159753,-1,-1,-1,-1,-1,-1,327153,489477,321800,-1,419349,-1,-1,-1,132488,450869,-1,203263,697117,-1,574739,311,-1,-1,188755,-1,-1,-1,378070,487475,863183,-1,320697,127973,609701,-1,58385,-1,-1,-1,869562,460011,491998,-1,447433,-1,-1,-1,862171,-1,564881,635714,-1,509649,643185,142143,260706,198967,767017,980407,-1,580062,581748,960951,-1,65019,-1,823842,-1,-1,870471,540023,870843,540173,993754,540487,235557,842364,243899,-1,711435,-1,-1,364483,105961,-1,-1,-1,-1,235423,-1,-1,290402,908847,-1,-1,-1,-1,539548,-1,-1,401329,-1,-1,355867,-1,-1,-1,-1,208720,719792,6712,586234,538782,290637,402442,508142,-1,-1,-1,-1,305205,811422,787221,679712,818683,-1,-1,794589,227408,305040,-1,-1,-1,-1,-1,-1,555783,832159,89330,-1,884990,883574,35019,662913,689100,678218,216053,574731,141944,982527,750562,-1,-1,423828,180457,-1,84891,272119,-1,-1,-1,-1,-1,-1,-1,-1,-1,832496,-1,616463,-1,597465,-1,-1,342190,-1,469154,167366,-1,-1,-1,46807,-1,-1,601667,63661,532049,793563,-1,109031,-1,219447,347584,716204,-1,762867,362740,-1,-1,-1,398375,217717,-1,682970,163281,-1,672575,428335,207739,-1,-1,-1,-1,-1,-1,59168,684784,-1,217155,763384,-1,256080,161993,178771,-1,-1,-1,478659,56269,-1,-1,393974,-1,43865,-1,230306,912054,32298,667375,796356,273466,679528,783955,-1,-1,-1,-1,6051,-1,-1,275093,348405,766884,285259,-1,398944,607363,-1,923576,-1,801569,563761,-1,-1,673217,-1,802393,364239,-1,-1,343043,984354,412265,263915,406370,-1,-1,671658,891838,-1,-1,178550,162816,-1,-1,475329,-1,620297,-1,-1,-1,431144,-1,939401,212891,-1,546034,167774,-1,996141,-1,333272,-1,-1,-1,720389,944993,-1,-1,95752,104906,919288,-1,29730,381838,211511,764184,-1,65416,896864,722913,-1,88274,533172,-1,133343,-1,-1,-1,-1,336734,74157,465449,612323,594395,-1,16825,-1,-1,319697,-1,705538,-1,817578,434638,20614,515176,667424,604053,218683,-1,-1,-1,-1,-1,-1,147972,-1,-1,549992,-1,725777,179723,800330,-1,-1,-1,-1,793225,697497,422863,-1,-1,49461,383218,-1,-1,-1,-1,981858,549543,177624,168441,-1,-1,-1,-1,-1,-1,-1,-1,322699,514425,-1,440672,-1,-1,-1,6947,-1,118025,380408,-1,492884,-1,924473,-1,-1,503542,733366,192447,-1,-1,-1,352423,-1,864990,-1,-1,-1,992228,658212,332003,-1,941198,-1,165124,-1,-1,146353,-1,194039,-1,-1,352938,-1,-1,172659,522405,553241,928463,-1,442722,-1,962569,-1,601066,760552,763458,155115,916917,-1,254169,90777,587438,765955,-1,-1,173072,681068,-1,-1,482349,-1,152999,930481,693281,483637,125308,-1,690344,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,557276,-1,-1,-1,687013,167021,253688,-1,386171,-1,339960,919136,523801,-1,874623,839765,-1,163833,143620,914055,934842,-1,285304,-1,-1,554542,887837,341248,254294,-1,-1,200277,626156,-1,-1,-1,254720,-1,858931,454340,473361,-1,-1,-1,825879,329848,286828,684856,263426,390225,422921,-1,289014,-1,767047,-1,417254,17038,-1,572943,-1,299629,621738,665921,-1,609861,787591,-1,-1,-1,-1,43933,-1,-1,828856,948697,760054,796420,-1,382789,532573,24321,-1,-1,208368,-1,315900,285837,-1,-1,-1,756128,706529,-1,-1,794630,-1,491664,-1,749830,-1,978128,441526,-1,146375,537058,600229,-1,870044,240701,-1,143862,-1,-1,-1,-1,303922,-1,146564,-1,262659,691654,-1,644385,-1,-1,978169,495470,-1,920872,933217,982328,568491,840041,604523,978875,275105,391262,241407,503958,-1,-1,-1,-1,482322,-1,-1,-1,647244,-1,918077,270436,276935,157063,74997,778363,688936,-1,-1,854421,643433,281757,-1,-1,909946,-1,-1,300475,933424,-1,449986,718098,319610,-1,841399,-1,482058,334010,589629,-1,346828,921063,-1,-1,-1,714858,922427,-1,203354,-1,812974,415907,-1,-1,-1,21154,645197,-1,821890,-1,-1,-1,391120,738409,-1,314614,-1,-1,865297,-1,815479,649562,-1,-1,184139,321952,166698,379198,-1,-1,-1,-1,898557,772571,396571,729230,-1,-1,-1,446431,914359,732521,-1,585216,868368,303024,365926,-1,362997,89448,-1,-1,-1,-1,-1,257442,-1,-1,63267,-1,-1,856290,167354,-1,-1,-1,794148,157891,343823,-1,-1,-1,958218,-1,654764,225969,751839,791068,592152,129572,654815,-1,161322,450635,681241,935602,-1,177443,-1,-1,-1,-1,924520,-1,170085,892342,727973,-1,-1,-1,728412,127763,188517,-1,613437,-1,-1,573844,-1,-1,887514,-1,-1,-1,-1,-1,-1,591900,947468,445484,-1,-1,93145,217867,978133,-1,172870,-1,700864,805809,-1,718500,825278,-1,-1,513664,43477,-1,-1,884528,-1,-1,375033,151200,-1,634567,-1,634647,-1,628428,-1,-1,-1,662541,-1,-1,-1,-1,-1,152780,-1,786988,-1,369950,-1,-1,625023,-1,349617,-1,-1,932931,-1,800314,-1,616694,247268,229242,300508,-1,-1,-1,311430,88304,864154,803199,-1,-1,858905,-1,43441,-1,-1,749180,-1,-1,-1,-1,468588,-1,-1,-1,62597,12437,-1,-1,126019,973527,137562,898317,-1,-1,125389,622458,-1,-1,-1,268412,984906,-1,-1,-1,366248,-1,800897,272511,-1,-1,694530,-1,-1,-1,-1,464356,-1,-1,-1,-1,-1,-1,165352,-1,-1,-1,-1,764028,534633,-1,715033,13028,154738,-1,-1,-1,295850,275614,45688,421356,636636,641841,-1,762303,-1,403926,-1,246493,-1,104756,554490,-1,-1,792048,570305,-1,229374,-1,-1,676216,252475,830032,971284,-1,814874,-1,-1,835643,720960,333103,988110,985041,-1,256039,-1,-1,201862,-1,245781,-1,445357,-1,-1,144902,-1,-1,-1,-1,-1,684032,-1,-1,-1,-1,-1,118034,-1,369054,-1,-1,-1,-1,783588,919488,-1,343949,-1,-1,58257,-1,-1,-1,-1,17090,20113,24801,-1,-1,-1,995784,344417,-1,-1,730398,-1,652454,346668,-1,666095,487167,583808,-1,-1,972967,653276,2145,516957,715042,-1,832604,408780,647698,815457,398572,785874,-1,501791,-1,-1,40500,979354,-1,-1,-1,-1,754271,-1,-1,436099,105022,-1,-1,435588,-1,-1,-1,621014,-1,676144,916900,950305,-1,997601,-1,-1,89665,172459,96564,-1,522067,-1,936043,668216,188297,-1,-1,-1,-1,132677,444120,462869,-1,-1,238501,503433,613587,-1,555159,-1,-1,-1,-1,583204,-1,382048,-1,841778,787441,173705,-1,-1,244923,-1,416298,31975,-1,-1,966974,-1,812100,764572,-1,-1,351812,87842,-1,-1,353199,26993,-1,-1,-1,238492,177562,626472,292648,-1,236602,-1,-1,992797,-1,-1,27310,267562,-1,291034,515211,-1,-1,80765,175364,-1,-1,-1,-1,111259,-1,-1,275622,570634,-1,-1,992163,-1,687374,-1,784183,-1,-1,467775,-1,898578,-1,296778,4931,-1,-1,-1,-1,162098,-1,-1,-1,-1,753869,-1,502761,-1,-1,-1,-1,-1,-1,-1,-1,510733,-1,-1,320953,103883,-1,784278,-1,-1,-1,307918,731619,726813,89375,818632,688609,-1,-1,-1,-1,876454,257747,-1,-1,957270,-1,293235,-1,390369,-1,-1,274968,316991,-1,-1,-1,-1,261762,-1,-1,-1,-1,-1,-1,11855,365833,-1,126020,-1,-1,-1,371227,926287,-1,-1,-1,-1,466213,646797,510386,-1,-1,463001,-1,275032,-1,-1,-1,362843,285029,998741,291561,-1,509395,-1,-1,744979,433802,-1,-1,504705,-1,70230,785916,-1,-1,-1,-1,196601,173556,556990,767796,-1,-1,313997,652248,-1,-1,-1,407542,-1,-1,529865,241119,796436,-1,894659,119065,-1,43383,-1,-1,-1,-1,546095,-1,-1,886059,-1,201318,351561,-1,472357,462191,203893,309575,-1,-1,608427,-1,611491,533943,897319,-1,-1,988737,-1,764633,-1,452671,-1,339983,-1,-1,861359,-1,-1,-1,-1,-1,423934,891604,651321,657305,-1,-1,-1,-1,-1,-1,-1,219125,886498,-1,559325,-1,-1,-1,160369,451392,-1,379794,-1,247443,-1,-1,-1,781105,791007,818608,896211,-1,537829,455893,284897,-1,-1,367146,520975,23180,-1,966227,424170,337608,482356,228612,371922,140197,44366,-1,-1,261610,-1,87345,186902,-1,955771,133641,-1,256450,443015,-1,340810,433883,-1,-1,278960,173197,261894,771787,58999,189472,-1,925331,-1,-1,557761,-1,-1,482767,-1,942478,606578,-1,377601,-1,925005,-1,377724,-1,408594,348426,-1,203726,489615,-1,500057,-1,864794,868049,-1,389333,-1,974633,966970,-1,647139,29257,622166,-1,550191,-1,-1,-1,-1,392689,872522,-1,-1,-1,708015,143511,200418,654076,-1,54251,633713,-1,283452,-1,608262,790524,-1,620644,-1,-1,751305,-1,-1,627142,426898,693771,856767,527770,-1,-1,-1,250248,143487,638647,-1,611261,-1,998659,-1,-1,-1,-1,468641,-1,-1,917033,305967,-1,378760,361465,-1,-1,969289,480812,-1,200745,784981,876456,-1,738942,319149,-1,-1,-1,994358,-1,97312,386276,-1,-1,604650,-1,-1,-1,-1,-1,-1,120005,184160,263540,-1,28847,49841,111782,-1,-1,-1,-1,309788,277523,43002,241101,531566,399447,-1,-1,-1,939876,-1,-1,-1,-1,-1,-1,-1,494785,-1,911811,390572,-1,-1,798240,533395,111811,729941,415915,26088,-1,-1,-1,183785,722087,-1,965399,-1,146309,-1,-1,-1,480370,-1,486583,-1,578249,863500,-1,187442,-1,-1,50525,-1,-1,174431,-1,-1,-1,-1,-1,765303,-1,-1,-1,-1,989404,-1,79424,243589,111666,248805,-1,65258,424543,89267,406169,-1,-1,277468,-1,-1,395584,-1,-1,-1,-1,-1,-1,817423,-1,-1,356456,-1,-1,807370,317761,-1,-1,903703,-1,37101,-1,983832,-1,-1,972274,832269,-1,651298,642884,-1,722346,800913,991125,-1,3077,-1,-1,826151,-1,988942,-1,-1,-1,-1,170142,353022,140084,-1,-1,-1,963626,-1,-1,698085,-1,562795,-1,899297,699687,-1,698435,-1,-1,491217,474791,-1,259254,-1,570453,-1,-1,466249,-1,-1,371306,399138,-1,-1,647807,339110,-1,-1,-1,808959,273538,80554,-1,-1,677221,-1,-1,-1,-1,-1,-1,153236,71085,764920,661048,4703,223103,-1,-1,-1,472312,126495,-1,-1,880812,432452,-1,-1,815138,-1,-1,-1,975921,778926,571989,603778,589925,-1,-1,-1,475207,-1,-1,-1,241550,-1,-1,-1,688744,955400,37386,690940,-1,526581,486326,674534,314098,387109,76206,-1,953784,-1,-1,331414,-1,808462,284351,255300,-1,226271,-1,-1,972327,-1,-1,339501,112447,-1,576290,-1,61230,332647,-1,367771,-1,-1,-1,325614,-1,570177,-1,740996,893803,956327,874299,285362,-1,401154,-1,-1,-1,-1,704419,952635,574319,604882,176294,326219,-1,538842,84075,643348,346476,-1,152152,592500,-1,-1,-1,9569,-1,-1,154514,619973,-1,236275,788350,-1,-1,-1,-1,714244,-1,-1,768882,617435,552403,-1,986855,855394,-1,-1,883883,-1,-1,552693,-1,-1,927192,-1,923116,309384,-1,-1,377570,639628,255433,-1,312742,65360,-1,292734,924884,714184,-1,281440,-1,-1,-1,408823,730863,-1,617600,-1,477797,520234,619670,134371,450698,-1,-1,-1,216506,858723,-1,420801,-1,377953,-1,664884,481554,53917,-1,615094,-1,305091,208852,-1,-1,702038,29996,-1,-1,-1,-1,-1,300366,-1,22610,-1,765297,-1,405198,-1,772385,409897,629041,954489,917190,614400,568121,-1,-1,212918,901189,-1,909271,-1,-1,-1,33206,-1,402569,-1,527716,-1,724679,-1,350515,808358,-1,896592,-1,-1,505365,367683,-1,960009,914164,580058,-1,361845,-1,981698,226891,-1,-1,-1,466567,457144,-1,327253,410767,68036,759633,536479,808289,-1,-1,-1,58655,-1,392453,417903,-1,868310,-1,224909,208695,-1,-1,-1,-1,848096,-1,33059,375798,657410,-1,585466,-1,-1,141883,825632,-1,939488,927271,-1,-1,-1,-1,690357,612716,-1,-1,355682,-1,123240,-1,623331,664152,-1,215230,985051,707796,689989,-1,-1,488022,958619,-1,-1,304966,-1,-1,997392,953869,921654,-1,-1,-1,-1,914775,247905,68635,86865,-1,477787,972369,-1,349527,284435,586934,-1,-1,-1,471650,-1,-1,-1,924995,168293,52400,860028,-1,-1,799474,406428,498849,230089,-1,351774,226024,307574,269697,-1,744383,148159,-1,523417,-1,186537,81090,-1,-1,182382,979582,620142,273453,-1,725538,888043,-1,871599,-1,529307,-1,353330,-1,-1,893147,751192,-1,-1,-1,494939,589208,744335,-1,-1,68208,356542,661815,-1,943342,350078,328982,995400,726764,716469,238322,136437,-1,80737,-1,614597,161714,-1,477929,761493,581993,633479,-1,-1,844040,-1,726089,-1,-1,-1,-1,-1,-1,-1,-1,684483,-1,317504,59507,-1,384621,-1,-1,730196,-1,-1,-1,628492,-1,596472,113763,101841,461589,871043,900519,-1,-1,-1,448638,839510,689874,762180,-1,393633,-1,978181,-1,260768,-1,-1,886281,732550,375020,-1,-1,833184,-1,574750,506208,-1,508001,53833,-1,-1,-1,148294,934049,90702,-1,156170,-1,-1,-1,-1,-1,-1,677923,-1,832462,-1,551092,459453,272732,629097,453683,948104,-1,517148,-1,763529,832132,731415,479025,323115,-1,-1,80557,664373,-1,722703,-1,-1,-1,-1,2498,-1,114467,706983,56207,-1,382785,875803,-1,185350,563500,697270,157992,863659,-1,765278,105927,696996,6372,-1,27702,275795,-1,29978,889490,682781,746646,996081,475479,733850,-1,399007,227974,-1,-1,-1,-1,520308,91882,-1,826854,-1,-1,-1,196768,648866,172572,21553,-1,-1,-1,-1,-1,691634,950566,416965,699446,-1,577422,-1,-1,761016,995565,-1,11730,157273,876445,518999,403415,-1,-1,-1,82749,465751,-1,916052,64564,328617,-1,-1,-1,61374,-1,29891,-1,-1,-1,-1,866115,-1,-1,-1,-1,-1,702733,807125,513117,-1,-1,-1,-1,-1,-1,-1,174143,943674,-1,508322,976432,-1,-1,-1,-1,490010,-1,-1,-1,642830,235550,-1,-1,-1,14063,671942,-1,-1,863485,-1,-1,-1,135774,37027,-1,-1,-1,828565,-1,-1,-1,557134,-1,-1,887874,-1,-1,646505,-1,642485,-1,183883,886257,75076,-1,-1,251192,-1,-1,-1,73289,975326,286564,397933,992745,545301,274724,605668,289880,-1,171263,-1,-1,-1,124971,-1,299895,-1,997051,927475,652312,524611,-1,-1,489430,-1,264028,726477,738379,-1,-1,580612,30412,872221,982635,705778,13115,6796,-1,410650,-1,-1,-1,-1,-1,450583,-1,214993,74763,-1,-1,616470,-1,948573,4833,10204,860485,-1,833304,-1,-1,-1,592625,790049,885332,-1,-1,982363,-1,460327,709182,-1,-1,-1,-1,-1,-1,760948,-1,-1,-1,935276,919376,-1,85902,8745,121642,705402,500793,402333,-1,-1,-1,196556,-1,-1,-1,-1,856455,-1,206084,361454,42190,746835,-1,-1,536270,-1,237854,-1,244895,-1,955959,-1,-1,351877,-1,-1,305033,608194,877971,510357,772533,-1,269089,503411,-1,734618,672430,-1,-1,918663,558062,-1,-1,-1,649436,624958,13832,89331,-1,196075,-1,455660,244285,-1,888807,717455,-1,-1,302014,837737,139600,-1,-1,888873,835465,-1,220870,424895,555305,87503,972520,-1,511635,397461,-1,-1,-1,467011,941016,793903,893340,979075,-1,-1,-1,653709,116733,928060,180287,296897,751859,-1,-1,373283,-1,995809,-1,-1,24022,765827,-1,-1,277687,942982,-1,-1,-1,325673,-1,517317,755764,391529,899078,132287,990339,-1,764389,-1,627124,-1,387911,-1,801620,584376,-1,758807,-1,132762,-1,566554,658850,575504,902067,-1,-1,-1,-1,99187,609550,-1,386483,-1,-1,687018,814110,455049,293164,996658,-1,-1,-1,178139,529744,-1,-1,-1,-1,-1,-1,-1,530424,-1,-1,-1,-1,196532,501542,-1,-1,-1,-1,-1,61822,-1,346532,-1,-1,798950,-1,-1,952880,-1,-1,941648,51188,-1,4981,-1,654599,778467,561740,-1,647224,-1,892743,-1,-1,565313,670881,-1,431064,34493,246442,-1,218026,-1,907217,64667,-1,-1,512190,381901,-1,-1,227646,229742,880554,-1,96451,-1,316716,-1,379007,-1,356465,-1,-1,-1,-1,-1,-1,-1,465534,524150,-1,-1,-1,-1,951422,-1,237325,-1,781760,-1,-1,-1,-1,799533,-1,400655,-1,-1,908545,-1,358591,272578,-1,814226,64963,534131,-1,889256,-1,81724,33711,-1,677899,-1,-1,810161,-1,-1,651274,-1,-1,-1,-1,-1,-1,-1,357121,634916,-1,180057,-1,236996,223402,671514,-1,-1,-1,418693,704374,357705,890826,-1,-1,344109,-1,-1,-1,-1,864505,-1,305501,771273,-1,317498,-1,246009,-1,997452,-1,570000,15585,-1,-1,-1,522505,-1,-1,-1,-1,-1,262114,326972,-1,315640,566665,701768,-1,87660,555001,-1,645869,970330,696138,90081,-1,357661,-1,842368,-1,-1,517707,-1,893944,-1,535060,-1,-1,-1,-1,402134,-1,-1,87554,-1,-1,-1,-1,-1,795519,-1,867378,-1,-1,985431,-1,961187,-1,-1,611973,-1,823617,482822,897854,712748,-1,-1,900860,-1,-1,-1,455868,400623,-1,33584,106145,-1,517458,719539,790186,-1,-1,498960,714400,-1,-1,501335,-1,-1,471311,906256,-1,723819,35332,-1,-1,798196,-1,196066,-1,-1,552804,592374,-1,544764,-1,897692,819661,745132,916291,876402,-1,-1,480513,-1,-1,829812,-1,777666,49295,223667,783198,350064,-1,-1,683021,-1,-1,141182,-1,-1,465419,-1,947415,113945,-1,-1,-1,445022,-1,467953,-1,-1,483030,302789,-1,-1,-1,-1,-1,-1,508008,-1,-1,981536,-1,785456,-1,-1,-1,-1,-1,-1,666770,407410,293067,-1,175673,306796,719282,-1,302420,-1,127880,778599,-1,-1,509979,-1,296264,822716,472497,-1,-1,-1,620175,-1,737104,-1,-1,-1,-1,770398,-1,-1,-1,-1,304219,-1,704438,307393,-1,-1,105323,555820,-1,874170,733103,-1,-1,-1,-1,522956,-1,-1,-1,303858,-1,-1,236270,-1,-1,488194,769106,350450,-1,179178,458487,-1,-1,141425,385276,-1,-1,771086,146619,-1,-1,-1,893031,-1,138273,-1,478429,-1,863452,-1,-1,-1,-1,-1,382383,560353,-1,595486,61186,-1,-1,297335,652779,-1,861380,364879,817556,723677,-1,861697,-1,-1,-1,518570,355588,-1,-1,597605,-1,-1,-1,281507,790230,-1,488011,228499,-1,-1,768714,-1,-1,-1,-1,-1,-1,-1,37067,-1,911771,926272,237800,844616,-1,-1,888362,-1,-1,245343,26238,-1,-1,-1,1662,587962,-1,124819,-1,220950,-1,-1,-1,648347,-1,743099,-1,-1,297826,-1,595290,-1,-1,623054,-1,950644,385890,147605,867600,722271,237958,-1,945302,-1,215579,-1,-1,-1,-1,208273,-1,729178,-1,-1,931645,973107,-1,163368,781338,-1,-1,418522,-1,12776,165238,-1,207031,252288,317751,-1,-1,570909,-1,-1,-1,-1,-1,-1,107503,258923,708098,-1,776120,52713,610779,-1,613185,481914,-1,392517,723866,-1,9573,11148,552001,-1,401332,-1,406190,-1,86120,-1,695721,355135,-1,284002,-1,-1,-1,-1,-1,717351,202269,-1,-1,663066,-1,-1,899340,35138,677377,702873,-1,-1,-1,946396,-1,-1,517540,450038,892510,-1,-1,-1,-1,-1,-1,-1,-1,287284,-1,140119,270596,614393,451951,88739,-1,-1,-1,989048,-1,-1,753533,-1,565895,795340,-1,451506,-1,562543,-1,475243,520419,587744,166962,873093,-1,592392,819698,766425,-1,457410,950197,-1,221689,635219,-1,-1,199852,-1,-1,689416,-1,-1,-1,383293,-1,128596,440328,973541,375205,492681,223999,763294,-1,-1,-1,65868,-1,611657,-1,123679,864092,-1,-1,-1,575298,-1,154092,-1,133220,77833,-1,389308,957131,-1,527547,-1,-1,-1,721691,-1,-1,4948,854945,-1,986062,-1,207884,400424,-1,113685,258303,-1,-1,-1,-1,-1,-1,-1,-1,221901,783139,-1,-1,497070,586927,-1,920465,788822,236943,-1,-1,54792,-1,-1,-1,-1,-1,-1,-1,662640,-1,67574,-1,-1,-1,978454,-1,861082,-1,-1,176772,-1,487692,-1,-1,31918,122476,-1,-1,930566,256486,-1,560468,-1,554824,-1,-1,-1,-1,698116,-1,614702,494492,600654,-1,754238,78594,843621,-1,160615,-1,896787,-1,154480,327539,872638,-1,487266,-1,541546,-1,-1,444041,724259,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,803463,-1,222739,715693,71635,409601,605213,-1,-1,-1,-1,-1,176670,722562,847573,365585,217306,-1,-1,-1,699788,196053,457405,863002,167097,-1,556949,-1,26121,-1,-1,992511,440470,-1,-1,-1,-1,909069,605565,216949,-1,-1,-1,364230,187223,687240,206352,-1,-1,-1,603764,-1,942307,-1,-1,-1,888662,-1,-1,-1,-1,-1,549184,-1,-1,-1,835797,-1,782385,383034,-1,-1,105127,969194,-1,-1,669173,-1,-1,-1,-1,112697,739118,22981,-1,632416,635439,918822,641286,313048,293737,-1,-1,-1,830753,967583,750286,566196,797154,-1,634822,658430,748973,-1,299357,-1,700065,439767,-1,889240,245120,485686,46636,-1,-1,-1,811357,954402,-1,219328,-1,202740,-1,-1,-1,52153,-1,199429,281445,217065,291653,-1,-1,733376,-1,95998,658783,710374,841821,-1,395052,-1,409933,469829,88856,-1,-1,890346,-1,-1,-1,-1,-1,-1,406495,-1,-1,-1,-1,843734,-1,979319,939710,854757,872878,123751,807751,-1,-1,996501,837439,-1,-1,-1,99487,850,-1,-1,748944,604850,209789,773230,-1,664242,-1,-1,22544,-1,-1,-1,247795,-1,669057,-1,591573,-1,680336,-1,631288,478245,943776,-1,-1,314781,373256,576494,-1,-1,4065,815540,673549,-1,-1,629365,-1,975771,-1,-1,177404,352033,-1,-1,38910,495876,141655,-1,329468,-1,309844,-1,852501,-1,-1,-1,-1,103546,-1,644514,-1,547211,-1,265166,701545,310461,-1,458196,856805,-1,-1,-1,425414,-1,255675,799600,-1,-1,613166,186837,770016,329417,865081,-1,-1,-1,-1,-1,-1,-1,488589,20237,83786,995878,697242,-1,-1,-1,-1,-1,670348,973137,577728,-1,-1,-1,-1,-1,-1,120261,-1,-1,21675,206113,674389,228200,462620,12769,-1,845589,875989,-1,-1,-1,740580,777545,916831,227064,-1,742354,-1,-1,980614,-1,341363,643461,373799,785254,-1,-1,774605,610407,-1,463874,-1,329567,-1,-1,478705,-1,127426,-1,-1,-1,757152,-1,869755,-1,756922,920534,-1,-1,-1,-1,-1,119620,158345,-1,184423,977514,251757,87732,766428,156136,-1,-1,-1,-1,-1,234690,547471,977421,312008,-1,363943,-1,180141,839249,-1,858759,955128,-1,260038,-1,-1,-1,-1,470991,34340,290086,-1,-1,-1,603154,-1,462211,-1,327921,789810,-1,291926,-1,-1,-1,613075,591787,753338,265599,292772,-1,-1,970715,-1,143129,-1,-1,697695,492462,214141,918451,843251,550342,630831,-1,822733,-1,-1,-1,-1,301248,612780,856034,-1,-1,608635,-1,50274,-1,716660,746239,330941,-1,-1,-1,-1,-1,-1,639696,544295,-1,197647,824068,-1,426065,216144,484907,-1,3547,-1,712217,-1,648003,633225,-1,-1,-1,535849,635843,220714,445614,-1,772578,-1,-1,-1,-1,-1,382281,-1,668928,-1,-1,764643,-1,-1,475159,-1,-1,890124,769254,233966,307186,-1,906602,686565,61158,952578,-1,105647,-1,387966,201366,678691,690208,-1,-1,51394,932685,-1,-1,-1,99953,528469,-1,221210,48332,771686,-1,824649,357412,-1,-1,259541,-1,-1,901160,-1,-1,-1,-1,315067,-1,-1,-1,-1,-1,-1,-1,-1,14003,492375,-1,149461,-1,-1,-1,175363,972883,232351,776945,-1,876652,384576,529947,732139,233538,975062,-1,-1,35031,596447,-1,-1,847236,-1,175132,-1,-1,-1,42232,-1,-1,872137,-1,-1,-1,807265,827548,808852,789480,279243,642660,-1,348762,355668,988213,-1,-1,-1,864475,634535,-1,-1,856073,151482,-1,-1,355138,-1,-1,-1,-1,116357,989930,-1,276011,-1,903487,64855,-1,-1,546574,-1,-1,112972,863326,-1,460899,-1,-1,318137,465225,-1,47135,794885,64094,962078,837237,-1,-1,88324,-1,140358,701122,767508,-1,-1,-1,-1,503884,646937,-1,-1,-1,-1,-1,246181,319657,-1,-1,745159,-1,-1,871247,246831,831647,-1,116883,-1,-1,-1,356331,802588,-1,-1,681431,-1,916985,803849,598498,-1,-1,577507,-1,-1,169119,-1,145681,-1,470593,-1,542344,710861,-1,-1,-1,18739,-1,-1,3006,-1,287222,-1,-1,-1,-1,-1,-1,377155,552035,-1,-1,-1,-1,598356,-1,467872,993459,-1,423605,899358,207666,-1,-1,-1,-1,11120,-1,-1,155661,-1,-1,-1,898804,-1,-1,805349,59547,194057,898828,-1,621882,335612,585900,940181,-1,-1,746512,696806,-1,531321,-1,-1,353302,-1,-1,-1,623077,998180,-1,604259,519630,-1,-1,-1,184134,601116,-1,-1,-1,-1,570948,734760,822145,473953,-1,-1,-1,-1,-1,-1,-1,598448,720037,-1,730789,291132,-1,-1,330119,-1,896392,134964,-1,396641,-1,-1,-1,-1,840776,760183,-1,-1,-1,-1,-1,775590,-1,-1,835011,-1,979783,-1,-1,-1,858301,859949,76419,-1,910427,-1,629127,-1,-1,736868,-1,-1,-1,-1,-1,492692,-1,970538,731988,-1,964308,-1,-1,76809,229544,525635,-1,235413,249390,573659,-1,-1,-1,-1,-1,247852,-1,511223,-1,-1,153896,179,377194,-1,793272,335242,-1,36932,732273,504945,507697,-1,-1,-1,-1,968435,281874,683846,213693,733878,740507,-1,-1,776700,876458,12555,681880,302558,-1,190016,-1,-1,-1,-1,387681,617364,-1,728050,364290,908765,-1,831576,-1,887020,-1,-1,-1,-1,760533,-1,394379,913501,331064,608876,56716,807647,103123,519783,927178,-1,-1,652309,626545,-1,-1,-1,-1,462776,264943,523550,541999,-1,-1,685303,512099,-1,-1,-1,110781,607183,-1,816976,-1,981816,-1,-1,691568,361660,487817,-1,-1,315433,-1,510344,554997,-1,-1,-1,303640,-1,523353,961937,637706,-1,292700,-1,682443,-1,506351,-1,-1,-1,-1,368427,361781,-1,447894,878126,-1,893027,-1,-1,831211,415847,-1,-1,926479,-1,-1,137595,-1,446277,197487,-1,12548,541426,307300,-1,784861,-1,-1,-1,-1,715925,-1,-1,-1,-1,-1,369992,162859,-1,686173,594000,698432,895130,100865,804980,-1,485085,635974,-1,181758,-1,-1,643499,-1,626651,94594,-1,-1,-1,403596,640346,146057,629046,164606,15673,142276,537760,-1,-1,996074,931401,857225,905461,41196,-1,-1,344957,-1,542529,-1,549675,489421,581956,-1,296972,454565,-1,-1,493269,933027,460891,-1,-1,-1,-1,-1,-1,983420,363813,-1,897603,-1,4774,-1,-1,-1,582907,-1,-1,192671,-1,273089,71007,-1,679220,420324,929254,613771,-1,377411,-1,895686,314504,515154,-1,-1,-1,-1,-1,-1,-1,-1,-1,733429,392023,-1,847286,-1,-1,591110,383444,308855,-1,-1,458424,-1,-1,513082,286387,533662,747097,-1,-1,-1,-1,91050,-1,-1,488052,-1,-1,-1,-1,652602,-1,-1,42015,-1,879326,347826,36100,147217,-1,-1,-1,-1,932363,-1,-1,-1,-1,206958,979932,-1,-1,-1,-1,-1,-1,907477,-1,-1,-1,-1,250476,-1,-1,420738,605627,-1,825385,-1,-1,115197,-1,282348,881977,10429,244136,576079,-1,554086,796457,342568,142965,-1,-1,-1,677204,375971,148674,-1,472282,-1,115306,-1,-1,-1,24723,-1,222790,-1,859576,811952,997699,-1,-1,-1,156618,-1,512719,215805,-1,-1,-1,-1,875338,743891,432442,-1,973521,838363,-1,728714,581279,-1,-1,-1,-1,-1,298792,-1,-1,-1,676397,-1,-1,-1,-1,66739,761808,-1,-1,817792,378535,981531,659706,-1,-1,568607,-1,-1,-1,-1,765635,-1,417614,-1,395281,-1,112953,747833,824959,13593,-1,-1,59647,913563,-1,289236,230499,177204,490556,-1,-1,-1,110752,822166,277173,389504,-1,295381,-1,-1,-1,-1,268243,-1,-1,-1,-1,987879,-1,-1,-1,665395,-1,189843,43654,542312,106589,593394,194268,-1,-1,-1,-1,515140,-1,-1,-1,374115,-1,83363,690568,301425,313330,-1,18103,-1,-1,-1,699886,295626,-1,589647,959937,-1,-1,168222,-1,471638,-1,657561,526828,-1,531386,-1,-1,-1,866879,219765,333730,-1,339978,536713,54891,-1,246366,753307,-1,97575,150542,-1,-1,-1,625405,845510,-1,-1,592552,587455,-1,69947,-1,318170,624122,-1,824716,-1,715648,-1,320494,-1,-1,-1,141348,-1,92524,688306,-1,162237,-1,919978,-1,-1,-1,621020,929980,-1,487970,785710,376109,-1,831712,57676,912000,-1,26539,-1,335454,-1,-1,785687,-1,816594,801936,-1,71857,452401,25996,698489,5796,410262,345687,-1,280575,162110,206329,-1,-1,-1,15975,-1,-1,-1,60600,-1,-1,-1,-1,-1,345777,-1,168303,-1,481954,803783,994701,243569,-1,-1,-1,291668,221231,-1,827098,-1,568343,-1,378883,234353,-1,869467,-1,-1,708767,999702,533174,78154,728824,679675,-1,-1,-1,494120,-1,29930,-1,-1,214785,-1,-1,973393,-1,943534,-1,-1,883161,4238,997650,-1,141422,189609,9320,-1,272857,901223,672903,-1,-1,-1,829090,-1,-1,120099,-1,-1,-1,412129,106226,-1,-1,75788,291,384598,868202,-1,61475,226753,509422,112402,226470,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,802595,788390,516869,-1,860814,-1,-1,789150,-1,896454,-1,-1,-1,-1,-1,-1,934086,865314,603576,-1,804442,-1,502033,-1,-1,-1,665350,-1,415036,-1,-1,-1,-1,-1,-1,991169,-1,-1,-1,273827,331535,253368,-1,759724,-1,-1,317952,-1,258435,605217,-1,948907,-1,905139,-1,634072,-1,795756,-1,-1,-1,497661,-1,858868,896353,144381,676925,650834,-1,-1,-1,196841,72182,541363,793946,839833,-1,903837,-1,-1,-1,-1,-1,-1,61684,-1,377341,164189,-1,-1,412720,137116,-1,-1,789628,-1,532589,76547,-1,-1,-1,466068,149330,-1,235090,686901,-1,572717,736305,-1,-1,-1,12035,356734,-1,-1,-1,-1,662410,-1,-1,-1,287963,722068,807373,801428,-1,219983,948852,-1,-1,202322,-1,-1,305634,160654,-1,711020,848833,560165,-1,-1,357670,-1,-1,686911,-1,125848,-1,250682,239071,-1,-1,301867,-1,497063,920758,557913,-1,-1,-1,93534,-1,-1,914063,-1,-1,-1,553981,-1,602804,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,873971,-1,378396,-1,-1,972767,448757,855464,-1,654850,307694,580082,-1,172255,363549,191121,948776,675836,-1,799614,362780,669913,-1,-1,-1,-1,-1,374037,-1,281226,370693,97698,-1,181011,602826,482067,631266,-1,-1,-1,647659,235662,807806,-1,35892,51514,341405,-1,-1,558736,-1,-1,-1,-1,690299,177570,359900,270733,-1,469114,-1,-1,-1,839214,932701,-1,106906,932130,55569,483800,606223,241709,518215,-1,310867,245751,434770,120462,-1,927685,556192,209803,426207,981506,494326,-1,58314,532837,637262,-1,988463,750897,-1,-1,-1,864286,207069,874797,351150,977056,736559,-1,-1,788307,333178,4404,-1,-1,-1,-1,923257,-1,-1,-1,-1,83133,641424,34588,715508,649671,680784,58616,-1,-1,428603,-1,-1,544976,756506,845293,857031,-1,129380,702894,928894,-1,-1,269377,-1,-1,-1,-1,648712,-1,229437,760109,-1,102447,725189,208369,897588,356789,586711,-1,-1,740535,-1,882493,-1,828357,-1,-1,979649,-1,-1,944402,-1,-1,812868,-1,393885,983316,339296,412975,-1,45966,-1,939725,348584,955247,-1,-1,585442,-1,-1,-1,-1,22013,967067,717348,-1,-1,454963,160531,946908,534535,-1,973531,-1,-1,-1,175683,762985,-1,801025,-1,-1,224882,47776,-1,-1,-1,-1,-1,893454,-1,612259,911510,-1,213744,-1,-1,425182,-1,-1,-1,132733,832786,-1,-1,86407,-1,-1,-1,-1,495213,-1,418911,420475,-1,807793,131099,-1,222005,-1,-1,-1,-1,263411,447155,-1,-1,-1,-1,265504,860824,-1,142170,643621,771581,756096,414149,977687,9246,484719,-1,808553,-1,-1,919948,-1,-1,693949,-1,491557,155850,933737,-1,670220,305018,-1,639964,202871,177074,390750,-1,-1,-1,-1,697914,-1,-1,-1,596426,-1,158391,-1,141170,-1,517395,-1,-1,313254,-1,320689,71809,524920,-1,271623,-1,41983,709370,-1,236604,877114,-1,133036,-1,-1,-1,-1,-1,-1,898773,575322,-1,-1,-1,991166,-1,-1,534526,-1,690085,698982,378911,648084,-1,705017,142444,-1,-1,-1,-1,647496,68696,-1,360863,-1,70555,-1,545121,-1,-1,-1,-1,724232,-1,217458,165094,-1,-1,-1,321253,72139,-1,-1,726616,602514,-1,-1,988046,429379,478497,456050,-1,-1,-1,-1,-1,421277,-1,201641,-1,-1,522074,77332,156798,650117,-1,-1,237915,-1,-1,286682,233587,151987,891230,211935,-1,349910,30218,662697,-1,-1,387657,205297,-1,486176,689772,-1,480950,-1,399493,510320,-1,623998,753749,-1,-1,-1,245615,-1,-1,537814,750777,-1,-1,267144,795019,830403,443866,990218,-1,-1,608719,-1,696028,-1,-1,990288,516324,-1,413581,48318,219413,-1,865265,796342,267973,-1,-1,501014,-1,54915,-1,-1,169981,-1,382400,-1,201004,982208,-1,262819,800787,741360,267122,-1,-1,-1,-1,682489,835306,-1,164678,557069,342249,183670,-1,841663,129434,-1,277401,-1,-1,82253,306438,417877,912964,-1,-1,-1,-1,-1,769664,-1,-1,837906,-1,59320,-1,-1,163103,498638,215821,-1,-1,811942,-1,428489,-1,-1,-1,-1,148940,845097,835236,605773,843469,798728,-1,-1,497002,-1,-1,-1,449753,-1,-1,781044,-1,-1,593697,440953,-1,393746,-1,729660,-1,-1,852213,533509,786114,337139,893688,-1,393550,769407,412891,-1,400312,777883,-1,-1,-1,-1,-1,-1,260597,-1,309843,774878,-1,102839,697936,-1,-1,-1,346491,316762,-1,686408,-1,-1,-1,614317,-1,-1,762527,-1,370737,994093,-1,620423,-1,626275,364492,540035,-1,-1,-1,136081,20588,842754,749604,543427,-1,-1,-1,728284,474191,-1,290717,13563,-1,-1,15141,-1,-1,638656,-1,-1,-1,93352,-1,-1,388629,86132,340725,420513,360196,-1,-1,66236,-1,-1,841683,763753,-1,-1,640316,12211,254566,755049,-1,-1,-1,460241,-1,-1,675242,659868,151267,813439,-1,447115,-1,189189,-1,-1,-1,817823,214617,-1,668156,410166,-1,126038,514385,669993,-1,961736,-1,-1,-1,-1,550278,-1,-1,-1,340028,-1,379372,-1,-1,815819,-1,-1,719493,-1,751430,-1,123603,923973,-1,-1,-1,-1,961061,871856,297999,432021,-1,62334,-1,753784,403095,555764,-1,569129,-1,269169,-1,820413,118645,-1,353937,-1,837303,141312,33308,213436,506279,-1,203455,512466,-1,-1,-1,454257,-1,-1,-1,-1,309869,-1,68442,975539,326778,796612,600958,-1,115210,678603,-1,-1,311432,-1,809778,35453,-1,396129,-1,297648,-1,-1,565656,132369,443564,479472,59005,253091,845148,-1,-1,957192,459063,848000,146415,-1,-1,520253,155841,491980,-1,353476,703557,-1,-1,250250,803126,-1,-1,902240,209917,38021,909794,-1,783239,498686,461315,-1,-1,432993,656319,-1,703212,606228,-1,-1,724794,414506,39993,467628,328939,-1,465942,279698,896671,623388,108324,490654,-1,-1,904778,553930,-1,-1,809969,-1,713245,625974,322907,-1,-1,-1,-1,-1,-1,-1,-1,-1,581879,-1,229605,-1,-1,-1,-1,-1,789393,-1,171356,-1,-1,9901,-1,-1,108236,636928,834506,-1,-1,783000,82501,992434,520651,-1,-1,-1,-1,-1,695571,449609,-1,560004,-1,-1,-1,171932,-1,200100,185946,-1,-1,839480,346770,-1,-1,274959,-1,6519,-1,-1,154542,-1,363224,230594,662933,248761,912157,482045,769925,812478,-1,-1,-1,435022,-1,-1,695930,320340,2915,12401,898837,459447,927498,455794,412752,-1,-1,906511,-1,-1,-1,-1,-1,-1,591984,632891,-1,439928,-1,-1,784976,-1,-1,-1,742706,266445,750691,-1,-1,586061,-1,-1,-1,617413,-1,-1,-1,782976,667426,534483,-1,383532,95011,784180,157700,756239,862289,475538,710636,-1,-1,-1,-1,-1,857758,-1,-1,-1,785538,-1,383594,320287,120443,830154,-1,160095,-1,-1,372303,628827,548573,-1,-1,-1,149570,888723,588920,360283,-1,939562,-1,730763,-1,-1,590269,825198,27406,664199,974767,-1,819082,-1,-1,-1,-1,55699,584471,991171,658295,855243,611625,-1,677432,150751,-1,-1,243624,763344,-1,-1,-1,604363,540883,598416,-1,-1,599660,-1,-1,416582,865030,-1,-1,-1,385503,671434,-1,979555,-1,-1,-1,-1,742505,878997,-1,-1,520286,-1,543177,7918,503165,-1,722389,-1,-1,-1,225117,313474,366028,203443,-1,-1,704704,-1,229702,416039,-1,652958,-1,373748,979747,452312,995136,568071,268901,202463,-1,228383,-1,-1,-1,-1,893782,995965,27179,615950,-1,-1,506717,607553,636513,-1,222013,715290,196507,785774,-1,94274,796285,95751,404490,144720,307826,929154,138846,47985,411308,-1,-1,-1,-1,750461,645521,570232,294609,447245,-1,713963,878603,3001,259830,-1,180877,-1,735133,31622,529261,-1,-1,640432,686264,-1,495677,784822,537240,544447,707904,533628,-1,297590,-1,-1,-1,307846,351897,-1,626203,-1,-1,-1,721220,-1,579451,876220,-1,953238,708910,532274,-1,-1,833984,69169,845708,242724,747808,569957,791139,-1,-1,-1,-1,956941,197909,555663,645566,-1,243299,768215,-1,712098,-1,587733,544941,158568,810984,-1,100705,-1,-1,-1,-1,84895,269304,579023,83204,20389,-1,-1,-1,230500,268660,73485,230910,-1,916178,172768,843604,-1,-1,-1,-1,-1,-1,719419,280176,-1,-1,-1,-1,-1,587556,-1,-1,250257,-1,-1,-1,998148,591453,231865,-1,-1,400816,487665,-1,-1,-1,-1,-1,233344,204785,675210,-1,254674,-1,199318,369371,-1,799558,-1,-1,-1,629672,778126,-1,-1,-1,-1,782300,355914,-1,474899,816061,-1,-1,249001,526618,-1,773789,416533,921809,623473,-1,357987,818365,-1,426813,752306,-1,470912,-1,-1,955248,-1,462157,-1,451745,615206,591932,-1,-1,138055,105216,-1,-1,-1,-1,834630,663537,349200,-1,309996,887668,320310,453015,534374,852686,-1,-1,858185,490276,293074,-1,325640,-1,787178,-1,874882,-1,-1,-1,236564,-1,270645,877879,710855,-1,533309,-1,279081,601876,518324,144468,-1,67743,861679,447924,-1,-1,-1,-1,223332,267958,-1,-1,427038,595895,825962,398431,837507,365281,-1,-1,772666,-1,-1,513282,-1,994776,184343,-1,-1,19192,845809,-1,-1,816000,-1,-1,-1,417258,252849,644690,24949,-1,-1,-1,779088,126838,-1,-1,-1,-1,116499,-1,745419,690125,-1,893042,-1,431641,-1,477250,-1,-1,370155,-1,23850,955472,427679,-1,-1,764024,-1,819150,989226,-1,227108,-1,390987,-1,-1,-1,242567,-1,-1,602463,-1,-1,-1,-1,311830,336221,-1,-1,407360,-1,570121,-1,441424,-1,-1,518267,864881,-1,976036,-1,105353,265324,525468,125889,109027,484763,170863,-1,952221,-1,-1,-1,604371,-1,700300,163946,707738,-1,-1,177720,911374,918064,-1,723853,-1,-1,953001,-1,548474,-1,16236,334107,543724,575513,-1,-1,-1,-1,706618,-1,253709,-1,191937,-1,-1,-1,-1,469995,-1,-1,-1,220243,-1,-1,446559,111716,-1,879088,803930,-1,23737,-1,-1,-1,940582,646968,-1,-1,-1,-1,-1,268782,-1,8896,-1,-1,-1,-1,281633,-1,-1,921753,682333,-1,192203,889521,-1,-1,512391,-1,-1,-1,893895,984667,225477,656909,375515,732288,-1,414694,6425,687137,42865,33005,-1,-1,-1,-1,-1,574966,-1,706341,-1,-1,-1,-1,-1,-1,-1,-1,720400,-1,-1,-1,802040,-1,3005,-1,-1,348912,-1,818748,-1,-1,-1,329823,-1,49689,653593,153778,977619,970454,-1,-1,70339,87052,-1,-1,941083,-1,-1,60214,-1,737828,385059,867208,821484,474116,678087,-1,134218,-1,672197,-1,-1,668833,-1,-1,253740,-1,760067,-1,365690,-1,94803,-1,-1,-1,128702,-1,-1,367408,293464,53362,-1,597979,-1,355002,848722,149137,661656,-1,-1,760395,18465,-1,-1,-1,505828,707163,778709,-1,-1,-1,-1,985262,-1,767733,272220,891755,-1,500553,-1,-1,-1,-1,927027,-1,-1,-1,640834,533287,-1,6529,-1,692541,-1,37015,399053,-1,180614,567430,-1,720835,501941,-1,-1,-1,651526,785031,-1,389956,-1,-1,-1,405382,807449,-1,765176,836332,-1,768605,-1,702656,528379,715712,761611,-1,188435,747967,-1,-1,-1,13795,-1,814403,105498,486665,-1,-1,926826,927,-1,880889,-1,-1,354298,-1,688040,636496,-1,20295,719497,140865,-1,-1,901269,958924,-1,-1,847399,79372,-1,-1,-1,-1,-1,874850,508516,-1,720010,-1,670307,-1,-1,216797,242764,270038,-1,796279,-1,553016,97915,-1,524975,-1,975929,479374,-1,64548,-1,-1,-1,-1,768064,597583,-1,-1,152993,-1,-1,926,-1,-1,-1,870992,-1,297714,-1,-1,-1,-1,-1,24564,808279,789125,-1,510753,468317,-1,967058,-1,-1,784103,-1,75724,853582,435852,264474,-1,259062,56539,163008,916989,90229,-1,27302,-1,-1,364834,530266,708176,-1,790327,-1,-1,197410,150999,-1,325215,805631,413279,8147,308846,-1,431882,-1,-1,28838,519812,-1,-1,-1,-1,-1,-1,-1,-1,699536,-1,-1,582782,-1,-1,981485,-1,914306,-1,-1,270679,-1,-1,441286,134307,170459,-1,-1,429920,-1,716062,267005,-1,165804,-1,-1,-1,998365,-1,724523,987892,-1,-1,384088,-1,-1,-1,-1,729528,-1,-1,823548,-1,719157,664377,25897,-1,81597,914604,-1,-1,123209,-1,-1,-1,913206,-1,-1,-1,-1,52297,46351,160235,-1,318828,-1,-1,318313,235798,887389,113071,990203,772760,-1,94891,-1,224719,-1,598370,-1,-1,-1,-1,754895,856953,-1,-1,875635,-1,598098,-1,155194,69923,369796,-1,-1,-1,-1,908057,268869,-1,-1,226068,-1,-1,196185,676378,-1,144297,195519,208475,358422,255939,-1,-1,368988,-1,-1,653439,686176,669928,310626,-1,214075,-1,-1,-1,-1,700092,-1,908794,-1,930575,-1,331989,-1,762089,-1,760731,-1,422197,772224,-1,911334,828720,-1,601464,448744,-1,551742,878714,-1,-1,577622,108094,-1,898336,-1,-1,384784,993033,831941,360867,-1,-1,492732,584175,178412,-1,408889,-1,-1,-1,205314,989779,-1,561735,315319,-1,-1,134499,-1,371221,357930,-1,-1,-1,305007,699564,-1,338279,-1,909719,989816,-1,-1,886518,-1,-1,-1,407400,230974,740482,299941,-1,-1,41358,176040,558588,-1,752766,976487,-1,-1,208796,-1,-1,748367,171280,-1,-1,-1,-1,77835,-1,365337,-1,94299,-1,956462,-1,600102,-1,885152,127566,-1,691138,446166,-1,183294,-1,-1,-1,770032,-1,-1,988426,-1,225441,-1,-1,256024,-1,-1,291642,-1,244669,-1,-1,-1,-1,835330,242166,908150,624880,-1,790867,-1,265431,629597,-1,643392,121383,-1,-1,40870,335074,841419,-1,360424,-1,718373,318454,-1,456152,409366,-1,-1,-1,-1,45237,280556,29952,640666,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,546326,-1,407540,-1,70018,975950,-1,227420,-1,-1,-1,227161,-1,-1,-1,135427,629266,348953,-1,-1,-1,-1,-1,263094,-1,-1,230545,-1,-1,-1,828657,686325,492469,173317,-1,185875,803748,-1,-1,911606,-1,-1,74688,-1,-1,74915,166316,-1,524636,927921,-1,-1,168873,602386,292424,-1,243543,696445,-1,-1,-1,-1,-1,-1,23426,-1,241422,-1,-1,-1,436529,-1,283586,-1,-1,170410,862974,-1,-1,829174,738986,-1,-1,543705,232877,941984,319331,320556,191650,-1,-1,-1,-1,-1,901539,-1,747360,-1,-1,-1,-1,234834,-1,822588,482493,654170,-1,249250,517877,-1,-1,-1,-1,795871,221660,-1,146213,-1,-1,-1,95582,-1,448427,-1,443572,-1,-1,357554,-1,402637,137806,-1,-1,249593,-1,-1,-1,618371,109748,-1,-1,-1,696766,375107,703974,747504,179095,-1,65876,-1,-1,-1,777483,-1,183595,-1,-1,755952,-1,-1,884162,-1,-1,-1,-1,695764,-1,182328,-1,-1,320339,-1,-1,397824,490191,-1,699666,584075,-1,459161,243431,-1,302780,-1,-1,-1,974239,281225,-1,471047,295726,721856,831055,386991,815960,293326,982847,-1,-1,871893,-1,-1,-1,67766,-1,294793,339235,-1,585592,458155,-1,205357,465363,-1,255491,734131,-1,-1,-1,-1,117712,797819,842861,-1,-1,900701,80102,762441,-1,291095,-1,943616,-1,726938,80297,271331,598921,291449,405741,-1,-1,-1,437803,-1,512127,-1,-1,681830,629387,-1,23502,561353,-1,991208,830485,-1,-1,-1,80846,-1,611930,-1,66874,-1,789562,-1,77352,404372,-1,892349,-1,-1,-1,225693,-1,-1,-1,894580,-1,-1,655390,471708,-1,354607,-1,163031,558313,-1,-1,561362,-1,-1,230196,105463,-1,-1,-1,-1,213500,-1,-1,-1,-1,710006,-1,-1,-1,244324,-1,523454,-1,-1,-1,-1,-1,248463,-1,-1,-1,-1,923926,414709,882529,-1,-1,984578,-1,-1,-1,674623,-1,-1,492035,-1,-1,-1,614541,-1,-1,574136,853746,-1,-1,206039,-1,858071,-1,196017,-1,-1,-1,952374,-1,715422,711569,370937,294657,-1,-1,325754,945801,-1,516502,704074,904871,657512,642178,476934,-1,168258,-1,786349,278946,975714,-1,941535,278700,348168,-1,-1,615981,-1,-1,-1,-1,-1,-1,397344,-1,-1,804681,435233,-1,468187,523630,815732,-1,471494,-1,408290,751696,265034,-1,635491,947341,923499,683715,867499,-1,820906,187115,164213,-1,-1,225225,743953,519571,-1,-1,-1,677088,180161,880973,-1,-1,-1,59718,-1,-1,-1,-1,-1,377888,-1,797590,66497,956168,-1,763352,-1,-1,370028,-1,-1,-1,-1,-1,-1,616091,166725,222064,-1,322752,-1,-1,-1,636677,739340,-1,-1,254570,-1,-1,-1,235185,-1,165211,-1,-1,378724,726816,982994,713281,-1,-1,-1,-1,999140,-1,-1,-1,-1,-1,-1,551384,416341,332835,860731,961507,-1,244364,660079,687896,345848,282504,-1,30897,314980,-1,631696,-1,-1,-1,-1,585413,-1,-1,452605,-1,611122,941913,734579,-1,580336,36443,809863,700107,637375,-1,-1,-1,-1,769518,-1,-1,-1,-1,207541,-1,738405,704628,850037,-1,-1,-1,427489,676337,738603,-1,-1,758637,-1,-1,-1,-1,190049,-1,-1,-1,79045,-1,551214,-1,-1,-1,241098,634131,847603,-1,-1,-1,856150,-1,-1,-1,600204,735994,600373,-1,-1,36076,940761,238475,-1,76676,-1,-1,29826,744846,109519,427354,146244,-1,277851,-1,665216,758212,-1,612560,824478,656563,93657,-1,359067,-1,-1,-1,-1,338779,-1,959172,635055,-1,463022,-1,-1,487023,-1,666156,-1,-1,182436,-1,306443,-1,849712,-1,473004,-1,228666,613671,518211,636021,242627,-1,-1,221389,-1,-1,361061,-1,740004,-1,958086,813957,552409,305645,986236,41911,733016,279720,248269,166606,-1,377654,-1,-1,921481,26582,-1,-1,376595,-1,-1,-1,-1,790266,855932,760187,-1,-1,-1,-1,831391,443175,893173,55413,976896,843902,409295,264658,-1,-1,966034,887519,-1,-1,668832,-1,-1,-1,-1,858063,-1,-1,-1,-1,-1,260929,795280,-1,-1,303430,445958,-1,957011,-1,519680,-1,-1,-1,-1,-1,181191,-1,921557,-1,-1,-1,-1,349104,60240,-1,865368,905528,-1,-1,717996,897264,9934,-1,696780,755405,378716,304709,109873,479037,453501,-1,-1,242573,-1,-1,525607,604031,-1,94959,317373,-1,51600,-1,-1,-1,931956,313430,-1,-1,-1,511612,-1,563514,828336,52291,871977,-1,940932,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,138738,15239,-1,-1,153417,734986,500464,-1,-1,-1,-1,358014,524868,-1,426167,-1,-1,-1,451368,-1,537699,-1,-1,374236,185889,480576,-1,6343,-1,729299,415568,-1,935200,-1,-1,207537,16749,-1,-1,-1,505036,524914,248503,-1,879748,150567,134289,-1,208940,189289,-1,324235,422341,-1,-1,-1,261229,662023,293108,205488,-1,-1,114676,514866,286644,-1,-1,91327,758289,-1,222545,-1,604372,129072,797376,-1,-1,-1,360405,-1,-1,120057,96722,-1,379865,-1,536034,742909,553856,-1,180310,696018,185412,34309,-1,557136,967975,-1,990991,-1,895450,-1,493066,-1,-1,-1,-1,985250,682341,806607,-1,-1,-1,-1,-1,273157,428851,317288,-1,-1,457708,-1,54388,860248,125732,313177,214614,86126,147478,710858,403909,-1,875119,-1,-1,247202,972415,-1,139960,-1,-1,928090,813163,771055,216983,378725,-1,372593,-1,639147,-1,261807,627622,-1,82824,-1,744912,207469,729266,-1,-1,-1,-1,-1,182583,-1,594343,-1,-1,68979,-1,-1,-1,159812,-1,584801,932982,-1,-1,-1,-1,781867,-1,-1,-1,-1,442482,-1,-1,330703,-1,-1,-1,779429,311835,471559,-1,-1,795257,-1,-1,940716,-1,-1,628692,665485,705083,-1,-1,953119,357043,93669,-1,472322,688373,297469,903667,-1,-1,-1,-1,555287,-1,807639,343832,369963,216023,963794,27411,3926,-1,-1,981541,-1,-1,229733,290444,-1,826190,654540,860940,-1,-1,-1,-1,-1,193938,-1,-1,663527,932105,516018,126664,-1,-1,-1,525242,-1,-1,-1,-1,82141,451987,-1,-1,-1,44199,-1,800605,-1,795459,-1,603738,-1,921774,-1,-1,-1,71589,936291,946526,856925,271707,-1,841914,686578,718388,518255,501525,531063,831711,-1,318392,-1,-1,-1,786674,-1,-1,-1,-1,6251,-1,234448,-1,665440,610774,227251,-1,402930,815863,-1,-1,-1,342761,-1,-1,-1,805132,362900,-1,480857,86450,673364,-1,-1,375753,760756,-1,-1,-1,-1,-1,-1,-1,632088,-1,-1,305344,-1,-1,785277,611619,411175,-1,-1,984943,-1,508716,639207,637957,-1,217949,445358,-1,214382,649716,-1,-1,-1,938054,606298,-1,-1,285214,946031,62702,759030,-1,931748,788696,887567,507790,638436,587381,959103,478272,-1,-1,172057,830571,-1,-1,640233,603190,910970,-1,219770,459003,959252,-1,-1,568866,-1,-1,-1,-1,-1,-1,290023,-1,575844,-1,621305,92324,157728,578019,-1,12115,88059,-1,-1,-1,741235,56101,928703,848857,65141,838807,-1,-1,-1,-1,-1,751143,-1,-1,67938,686245,529420,316239,418032,-1,625307,-1,-1,-1,69936,-1,48960,2087,-1,-1,-1,-1,151133,-1,145896,-1,-1,716070,-1,-1,957328,85556,-1,968258,-1,616284,300205,-1,266475,-1,-1,260088,-1,-1,-1,-1,706873,789642,118484,-1,947345,-1,212738,-1,419385,-1,-1,158399,844990,605350,-1,-1,-1,226748,378291,-1,-1,578502,966507,-1,-1,-1,-1,79320,478146,-1,473961,-1,318827,128490,8413,-1,-1,600310,523773,-1,90550,305824,-1,-1,593547,-1,202244,541189,836580,749261,122105,-1,448157,-1,672573,-1,-1,39572,698639,990485,754341,313554,-1,880291,-1,-1,-1,-1,-1,152319,799797,-1,269135,319221,92036,-1,-1,892074,791215,214893,872780,-1,379654,278961,-1,613793,-1,-1,121987,160857,-1,-1,63001,610480,-1,932771,-1,146079,137885,-1,-1,-1,-1,918750,393312,946141,730089,479389,-1,-1,-1,-1,773498,-1,-1,886394,-1,-1,-1,69148,-1,-1,-1,-1,-1,2709,299885,-1,723874,737205,249287,-1,92244,993174,-1,-1,799488,-1,831274,972423,-1,-1,-1,735875,-1,-1,405883,183857,-1,-1,207179,64895,302601,246349,770949,65949,-1,-1,490829,-1,-1,37048,363045,501692,955286,776268,-1,171340,-1,988964,-1,665323,-1,678511,199813,360336,23531,-1,131344,348462,150181,21550,-1,-1,-1,510751,-1,-1,-1,780318,-1,-1,985992,424813,108008,-1,-1,-1,-1,-1,-1,844214,-1,591419,492146,164839,-1,95292,996421,202007,435490,389993,603908,70724,744015,643869,-1,-1,279994,-1,665394,510010,-1,137055,570652,-1,-1,-1,941330,-1,797082,761124,-1,528819,-1,-1,-1,868997,987383,-1,-1,548759,185587,-1,-1,243756,-1,8753,-1,467125,933134,918237,941452,365208,-1,601748,-1,654363,192784,-1,-1,-1,-1,-1,-1,-1,601121,421107,396612,-1,160746,-1,293643,-1,420382,-1,617772,462947,-1,-1,-1,832441,41731,761463,-1,-1,-1,-1,107930,874944,973981,214237,388471,753960,-1,-1,734646,770191,-1,-1,218370,319885,-1,-1,-1,-1,-1,162209,102363,-1,556255,375671,139573,473310,-1,453178,-1,-1,345975,-1,-1,292835,-1,677815,391611,435702,906737,-1,843575,125852,612131,29900,177648,-1,501519,-1,425148,-1,542572,-1,143186,-1,567488,695605,-1,867373,264134,-1,-1,-1,-1,-1,828976,550800,180561,398324,345157,566387,-1,-1,459944,-1,-1,-1,-1,-1,-1,-1,-1,-1,519176,-1,800341,763503,250290,-1,-1,-1,-1,664630,-1,-1,-1,837386,107450,-1,-1,737833,-1,889219,-1,602958,422297,631966,-1,421190,679258,-1,49318,698954,635879,622392,-1,-1,257329,-1,399092,576082,635551,826324,-1,-1,854201,-1,352264,457660,-1,791041,-1,266655,413313,176492,46571,-1,863063,702273,-1,-1,-1,694292,913700,150616,-1,-1,736898,-1,-1,-1,997700,71140,353377,559305,-1,140925,-1,148408,-1,306691,-1,291813,-1,-1,230520,796197,370072,478045,-1,-1,-1,630541,-1,270688,-1,519,933149,11072,109832,555873,-1,-1,36798,909210,-1,-1,325055,-1,-1,-1,-1,-1,-1,-1,229163,272147,-1,-1,924575,-1,963950,701899,403226,941597,-1,-1,623078,-1,500636,-1,153468,-1,531618,818551,-1,-1,39284,423809,379561,301471,344007,-1,-1,280634,91590,603116,556758,-1,292420,455753,292000,-1,254072,-1,-1,788677,-1,-1,201749,-1,-1,-1,-1,-1,122312,-1,137249,-1,-1,746764,-1,625371,-1,-1,252211,882141,440617,819377,701713,-1,-1,320813,-1,244973,-1,483741,258242,275406,305987,-1,-1,971280,-1,25089,553542,407656,835757,-1,744949,-1,-1,-1,859108,471858,-1,-1,-1,-1,-1,527171,-1,-1,-1,-1,-1,-1,775020,136626,-1,-1,-1,585691,18110,540686,146817,179929,-1,359663,599591,15771,642101,-1,792517,-1,452678,-1,418973,-1,-1,693205,707403,-1,-1,-1,-1,-1,-1,805827,-1,244859,-1,909300,-1,402726,254804,-1,159511,837554,-1,821824,-1,-1,764701,478383,931583,-1,528492,-1,723475,-1,695496,655714,-1,913340,-1,77683,981129,-1,359515,-1,-1,152813,-1,-1,332330,-1,881707,899160,-1,-1,34136,-1,610701,829223,-1,-1,816985,-1,-1,633371,-1,-1,-1,158618,-1,522870,994821,-1,611706,142271,367227,294386,-1,918065,-1,508672,484127,452572,-1,-1,-1,732071,-1,235393,-1,-1,-1,390427,-1,-1,-1,-1,-1,-1,-1,-1,483690,799182,-1,-1,-1,-1,897298,-1,929457,422728,-1,-1,620885,904009,334829,310362,581151,49604,-1,659209,668934,-1,954622,722221,939608,121238,-1,-1,87699,978227,-1,698412,-1,-1,-1,-1,999480,-1,-1,671586,635530,-1,-1,-1,-1,-1,-1,-1,829677,-1,-1,888266,-1,930514,-1,144666,-1,822910,544647,513911,-1,559388,770216,-1,-1,427035,-1,-1,-1,738155,670335,975907,-1,-1,-1,-1,12947,-1,-1,149720,-1,-1,-1,522050,-1,-1,754462,294340,-1,634928,-1,-1,-1,-1,452397,-1,-1,440074,522139,-1,10910,-1,625104,-1,-1,579258,-1,-1,-1,642761,-1,451617,-1,-1,-1,390054,97144,-1,-1,-1,-1,-1,952560,-1,-1,-1,-1,926669,-1,671707,464861,31123,-1,595862,-1,-1,-1,-1,463638,-1,32138,445655,289256,-1,-1,-1,-1,28839,72971,261349,80680,-1,749908,-1,-1,-1,808398,19116,608453,-1,-1,-1,-1,388527,-1,-1,875292,-1,213003,61074,-1,-1,-1,-1,-1,912882,-1,-1,364225,-1,-1,-1,760057,-1,333143,-1,20114,863836,-1,-1,-1,-1,-1,752064,-1,447485,241236,-1,844035,-1,214650,808523,587124,135194,-1,911211,-1,827672,164036,-1,-1,15938,456472,817641,-1,-1,-1,873348,638618,653299,-1,-1,-1,209817,302857,-1,-1,725153,43126,-1,366623,992635,793568,-1,-1,-1,-1,-1,722525,-1,109526,-1,33239,65596,-1,-1,-1,981186,-1,-1,383662,-1,564546,-1,-1,-1,379636,-1,-1,-1,197957,592417,140972,-1,-1,602965,-1,31472,-1,246505,-1,8059,-1,91343,-1,568808,-1,245944,906782,579483,-1,-1,-1,-1,357797,-1,-1,-1,933418,-1,-1,-1,651687,205134,475904,-1,-1,-1,739267,357173,-1,153735,-1,-1,91622,-1,810346,954867,-1,-1,156516,995392,915482,-1,-1,784511,211104,-1,454657,866938,129644,544002,-1,243955,744641,-1,-1,207830,-1,516303,134586,-1,867152,-1,-1,74813,270467,709412,-1,295191,475956,-1,-1,-1,571938,-1,-1,192295,-1,251908,401950,-1,411915,107313,320270,-1,718042,71323,-1,556585,497837,402448,-1,-1,-1,-1,221803,24663,26578,944107,389448,338649,717956,-1,245157,275537,-1,-1,953355,-1,707846,-1,726278,826608,656507,-1,85407,-1,-1,-1,174746,-1,-1,539298,426084,837060,-1,597925,-1,944296,12972,240008,588668,-1,174392,-1,904798,547626,175381,837216,-1,961238,367981,840006,-1,-1,549956,-1,-1,213167,-1,-1,-1,-1,-1,539276,-1,870142,840498,291069,88197,903172,777146,-1,38543,-1,740939,-1,-1,-1,110719,-1,-1,391594,1487,518549,566911,582977,-1,-1,-1,-1,117925,-1,-1,906742,938757,-1,-1,-1,610758,-1,688901,445591,-1,356430,289505,-1,-1,436963,-1,306454,-1,390286,-1,-1,990257,-1,487494,885806,222858,-1,374776,-1,-1,831601,685485,-1,-1,616566,86337,25441,-1,-1,-1,-1,-1,-1,567860,596844,183564,-1,-1,835299,470856,134011,-1,260596,-1,631717,-1,-1,428899,422425,143911,287937,352889,-1,853707,595744,783858,-1,-1,476982,574886,-1,930242,-1,241428,436032,549586,-1,-1,-1,-1,614416,974595,338336,-1,173965,-1,58003,730891,-1,-1,442023,-1,-1,-1,224609,560649,881999,-1,824937,-1,173863,952309,469037,-1,264463,242730,-1,-1,870649,606459,836821,-1,-1,131605,-1,828432,-1,-1,-1,-1,762929,-1,-1,-1,424108,657914,-1,424848,-1,-1,624831,402190,-1,775011,851998,-1,521138,-1,-1,-1,592471,79964,-1,734749,-1,260389,-1,345882,724076,400054,-1,-1,-1,355126,183657,-1,-1,-1,6965,-1,884793,-1,-1,398659,67759,-1,-1,413951,297742,509575,376932,962295,-1,385628,689262,792133,-1,-1,-1,845690,-1,847338,-1,-1,833804,-1,209932,-1,96134,-1,-1,524284,901447,555207,794891,-1,-1,956184,-1,30890,-1,761116,712561,917168,747177,-1,-1,-1,734043,-1,-1,-1,984951,-1,-1,194343,-1,-1,316233,-1,794012,147436,28106,-1,912067,279128,-1,-1,949306,923747,224979,-1,538631,558886,68435,243916,-1,-1,711336,-1,249325,-1,676924,444217,794072,-1,-1,118199,-1,-1,-1,-1,950182,785881,-1,103324,336394,-1,627016,319589,467687,85617,-1,492322,-1,557442,-1,-1,587413,-1,249011,11198,-1,-1,512920,864861,113141,-1,-1,277684,-1,209633,-1,561408,-1,785075,718863,47560,381735,-1,-1,126747,-1,448593,531830,-1,-1,-1,137533,298714,-1,-1,627301,-1,-1,-1,965992,447234,923414,-1,516810,-1,937835,503965,-1,-1,-1,567880,-1,649256,-1,-1,-1,133964,-1,516875,-1,721981,653544,457427,39537,-1,430659,-1,-1,509682,-1,757551,491269,248627,321206,-1,629660,939323,59293,-1,-1,509916,864544,596461,-1,529889,70035,552993,67839,-1,338833,-1,-1,-1,396227,407447,879112,138858,913059,129528,-1,659515,771736,580026,-1,-1,-1,122917,847348,-1,685762,-1,457961,988573,-1,540770,-1,-1,-1,102450,950662,51553,-1,708626,187516,-1,166383,-1,402596,285830,442020,346740,-1,-1,-1,-1,-1,408032,-1,-1,973724,-1,815231,583842,931439,-1,-1,-1,594209,-1,812547,-1,-1,-1,-1,328756,-1,-1,873067,811690,514671,-1,-1,98246,-1,-1,-1,46271,-1,44298,-1,108502,-1,121890,475696,556455,-1,-1,-1,799538,-1,-1,-1,744449,-1,-1,904252,922158,-1,-1,-1,-1,918191,-1,-1,646688,28719,-1,-1,293293,-1,42109,881378,-1,40842,-1,-1,421654,-1,160960,307661,389422,-1,-1,-1,-1,-1,703400,325574,-1,264392,-1,827148,913465,-1,5848,119259,102651,-1,-1,-1,-1,821071,18903,-1,167229,748581,-1,-1,-1,-1,-1,-1,503757,525496,184996,-1,751754,-1,-1,862938,-1,-1,973409,-1,124639,450936,-1,209169,445725,899234,17608,520219,238887,-1,-1,-1,-1,-1,-1,-1,-1,-1,532031,565903,376004,686843,938939,-1,890272,-1,21804,-1,814207,-1,-1,84989,384131,-1,-1,-1,510494,376181,616612,542888,341966,668326,793189,-1,720089,-1,629289,219877,-1,-1,-1,802073,-1,582189,-1,880011,-1,-1,-1,453157,395105,407243,-1,-1,-1,21729,430471,-1,721952,555087,735604,-1,-1,125953,-1,974375,228848,-1,-1,-1,-1,-1,860350,482258,685047,989073,754913,621524,227195,-1,-1,-1,-1,852689,876909,-1,-1,901415,-1,276035,129263,112434,-1,488655,400786,184780,-1,792409,-1,747731,342510,-1,807063,-1,515717,652440,776135,-1,439874,-1,-1,205163,405871,86962,334050,395782,551646,-1,-1,-1,846360,771044,-1,527273,501290,-1,-1,920954,-1,-1,563579,-1,-1,486645,639267,846237,684806,-1,-1,404346,-1,738889,-1,934523,90556,-1,190041,-1,239681,-1,70993,892972,-1,832678,-1,-1,-1,666520,-1,557063,-1,473491,651634,-1,95679,-1,732431,-1,-1,575408,118719,157013,567463,254198,-1,-1,-1,156917,-1,-1,242045,924312,-1,294666,451695,-1,627262,882331,439751,708156,-1,318414,398555,541764,-1,337038,75617,793240,487672,134695,-1,-1,-1,-1,-1,782918,737655,-1,161614,-1,-1,187873,951136,661268,125467,418220,-1,476755,47269,-1,-1,192005,8609,-1,-1,-1,989037,3016,-1,971056,-1,-1,842116,464062,-1,-1,800267,-1,-1,-1,-1,-1,118334,-1,542293,257654,-1,-1,-1,123115,647852,850051,560512,108462,790269,984368,391291,528822,945165,930060,-1,779324,915900,-1,-1,-1,-1,556336,10171,-1,-1,325452,-1,-1,861985,-1,117394,-1,193494,703450,-1,790853,-1,-1,-1,-1,-1,650635,-1,-1,-1,-1,715417,465637,893082,880451,-1,733660,-1,406731,462511,-1,776443,-1,218757,111873,-1,921339,448131,630886,978121,66726,974732,-1,560300,-1,370236,841003,-1,-1,403782,-1,-1,943911,384893,-1,518167,-1,360075,-1,164564,-1,-1,380040,196628,39252,-1,265720,-1,-1,-1,319326,266461,-1,-1,-1,-1,-1,269959,725633,-1,873627,438608,15504,860503,-1,626224,-1,-1,-1,505526,-1,-1,-1,152678,547403,574128,-1,-1,-1,-1,131979,-1,-1,886765,-1,-1,716561,288180,692211,-1,552211,171408,-1,573388,344674,-1,958066,219169,731239,255541,325822,-1,-1,851081,-1,-1,370652,-1,106510,670906,-1,-1,818578,713173,309429,830853,190387,420261,-1,598945,982289,-1,869435,-1,-1,-1,-1,210452,356647,-1,644825,-1,913921,-1,-1,-1,-1,-1,-1,645288,-1,803556,425788,-1,153993,-1,736877,634175,-1,-1,350977,-1,423381,882134,-1,-1,-1,694141,-1,-1,424152,396503,25513,945701,348219,844542,863431,980264,628356,171415,-1,810761,242398,-1,-1,363098,400369,-1,672428,-1,762716,-1,601902,-1,-1,626391,546251,677397,-1,-1,216161,92871,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,877904,-1,-1,-1,-1,-1,-1,-1,-1,579747,-1,78305,496961,571236,-1,255113,-1,107032,368671,-1,455511,242269,-1,23092,-1,564350,798628,583567,455321,583474,202968,697334,762690,-1,-1,405038,40950,-1,323317,219848,-1,-1,-1,-1,553269,855930,-1,493802,-1,-1,637112,-1,-1,561540,-1,182019,-1,-1,428975,-1,707146,-1,706951,897818,485614,40589,617117,117251,-1,-1,-1,765033,359866,779356,420687,968054,-1,330244,41345,-1,-1,-1,260364,471363,-1,-1,319307,508804,499478,-1,-1,765372,-1,746398,8775,135102,634369,-1,367065,943959,23369,-1,63109,495401,272217,-1,-1,406985,-1,520393,-1,905982,-1,215244,250819,779411,-1,107243,-1,691182,-1,676900,671159,890439,-1,313566,956531,642420,-1,521369,-1,-1,-1,-1,300181,-1,-1,-1,776918,253444,390460,-1,-1,-1,-1,-1,284017,652135,-1,199675,974174,577977,876736,-1,-1,474042,-1,-1,812582,-1,-1,511879,314027,578361,-1,-1,-1,-1,-1,-1,55969,-1,487990,926103,932366,-1,17765,-1,-1,476394,-1,-1,802321,814421,473148,-1,-1,152096,-1,743151,370054,257137,435998,542757,223225,-1,-1,749290,-1,453893,-1,545714,-1,509791,786706,852215,-1,-1,179117,324995,35538,-1,478843,810493,-1,245717,-1,-1,-1,-1,186070,-1,-1,360152,134277,-1,-1,-1,372579,-1,-1,-1,-1,-1,-1,280576,-1,81338,921069,366932,-1,932863,-1,917482,650983,900210,-1,-1,514784,742720,267774,833195,690645,-1,-1,-1,-1,-1,762753,974242,612436,132051,-1,29561,-1,455299,157257,-1,3986,159352,-1,-1,-1,766982,-1,-1,-1,-1,324955,-1,-1,-1,413882,-1,522665,-1,939068,-1,933982,181244,929187,593864,-1,-1,988096,941815,-1,-1,-1,60649,862636,322081,-1,-1,415402,176359,824688,677914,-1,-1,-1,772490,792478,-1,84246,-1,913820,502100,-1,852936,-1,-1,450359,-1,977650,229109,436473,969930,-1,420926,809656,710884,950699,552628,690797,-1,668142,-1,-1,-1,324495,315787,-1,-1,-1,781881,15090,-1,-1,-1,-1,993165,-1,964294,265108,846472,472203,37466,-1,531711,-1,-1,531615,8595,66317,-1,-1,433279,404566,381669,108769,320797,720513,875744,618617,-1,477324,976707,470676,-1,-1,639550,868982,645750,701060,-1,970113,800160,-1,-1,-1,-1,-1,-1,409736,305705,843942,-1,861009,717178,985189,-1,-1,-1,395937,608057,130678,416095,849416,329180,-1,609507,-1,512726,-1,-1,816030,934255,6371,-1,-1,841545,-1,-1,928756,-1,873782,-1,-1,-1,551072,274338,719662,479548,-1,-1,-1,-1,828015,-1,-1,-1,64612,894518,89833,361474,902333,-1,572138,-1,384022,590381,-1,-1,-1,808764,16261,168663,222164,-1,739694,-1,773959,208916,212241,933205,-1,-1,-1,-1,57782,-1,129820,236539,219604,49661,-1,-1,455323,614394,-1,-1,-1,-1,546642,-1,-1,-1,-1,665737,-1,-1,-1,-1,-1,486866,165967,248254,-1,-1,-1,547244,754604,697644,-1,-1,734896,-1,938601,-1,913957,-1,468840,-1,912186,5323,-1,-1,-1,-1,-1,92252,-1,225676,-1,-1,-1,40665,-1,-1,-1,670846,3946,-1,-1,808300,-1,73990,-1,-1,820506,-1,-1,-1,-1,693294,441078,125206,-1,778215,-1,265006,-1,-1,-1,-1,-1,-1,-1,-1,817126,898371,490332,489193,217189,-1,929124,12441,-1,553275,-1,-1,-1,270617,553091,803588,819289,-1,642746,211883,337,-1,-1,82088,332527,-1,-1,735033,478003,-1,678555,98072,63840,-1,190232,-1,-1,-1,-1,113304,382614,247780,549201,486072,55318,-1,94524,-1,-1,553364,711433,269279,-1,774391,-1,-1,-1,-1,-1,-1,31820,527867,670292,-1,656513,206413,-1,-1,-1,-1,821946,964416,164593,-1,-1,607098,257263,562365,-1,-1,145516,-1,-1,-1,-1,-1,-1,161855,-1,-1,725352,682359,547353,-1,-1,-1,-1,514455,495624,395660,731023,676806,-1,-1,736034,517138,-1,-1,-1,98830,-1,783138,272548,-1,869809,-1,500902,847631,82153,-1,186152,780269,-1,366931,-1,275368,-1,410711,886202,219945,-1,-1,976289,-1,927282,-1,-1,-1,907528,519278,-1,387407,614962,981151,255837,-1,-1,-1,-1,847506,-1,-1,-1,-1,-1,-1,715695,-1,-1,-1,-1,-1,765508,773283,860205,-1,-1,-1,-1,-1,413343,-1,954545,-1,-1,488448,730936,941850,443695,886964,997884,-1,639226,226192,325332,-1,-1,-1,800528,661348,971756,-1,-1,-1,-1,735374,-1,-1,396162,-1,-1,-1,-1,455522,-1,52913,178603,-1,-1,-1,-1,-1,-1,760597,298651,153614,-1,-1,299984,-1,270512,-1,674314,-1,972163,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,753973,-1,96235,-1,986523,-1,71330,-1,-1,-1,587353,668334,719678,907754,-1,-1,382916,167837,904392,-1,-1,135477,374030,10366,177960,657422,-1,-1,696614,-1,509000,501766,-1,-1,-1,-1,758889,946378,-1,-1,360341,883758,-1,613317,-1,-1,-1,-1,-1,735750,-1,905750,201464,742897,-1,635453,-1,-1,363966,191171,48421,-1,-1,968935,895106,-1,587671,-1,446301,73172,15899,298187,-1,-1,-1,-1,-1,552914,-1,588224,458882,735264,640849,81211,-1,527752,337086,-1,-1,518942,45550,-1,-1,-1,159419,220539,756893,941735,-1,-1,-1,-1,843360,-1,-1,526121,134625,567163,-1,309985,-1,-1,-1,241840,29762,-1,-1,-1,582925,-1,-1,-1,-1,-1,925827,-1,-1,-1,970328,745030,925743,-1,933383,-1,452918,-1,-1,197576,-1,467015,822266,-1,524078,-1,943101,254094,-1,-1,-1,-1,-1,707917,501631,101342,-1,176850,620915,17571,-1,390983,-1,-1,626822,605782,892995,-1,-1,-1,-1,-1,8025,873935,-1,284269,-1,-1,762390,-1,75039,311390,52064,-1,12727,317385,295517,-1,221317,-1,741663,-1,579323,-1,-1,-1,839023,845726,-1,610988,53730,229831,906499,970884,190197,109786,929641,-1,-1,-1,42028,610440,-1,14144,112598,561674,121025,-1,-1,419465,-1,-1,-1,-1,272521,-1,-1,753257,-1,-1,114889,850355,-1,-1,-1,794133,-1,102320,408793,-1,-1,832292,-1,214996,-1,84197,-1,135829,-1,-1,-1,644386,-1,-1,-1,-1,790718,975796,229063,871659,792541,339105,951362,930403,743170,-1,108484,635672,-1,328469,-1,-1,698665,-1,-1,600475,440108,426868,-1,789711,410580,-1,720345,-1,-1,-1,58484,301297,242096,-1,-1,913161,-1,-1,614607,-1,-1,-1,491210,-1,168164,-1,624867,459482,-1,-1,942314,765600,-1,-1,-1,-1,-1,-1,929733,-1,-1,371791,460968,-1,-1,81466,-1,-1,409257,392986,-1,69057,-1,-1,-1,-1,959042,32103,267473,197050,316120,-1,-1,-1,-1,-1,-1,695747,-1,67441,856060,210,982710,470539,130833,743938,715364,249031,642254,-1,-1,-1,134538,490280,-1,340758,943514,-1,804194,-1,800442,-1,-1,934089,-1,719047,-1,977947,377240,806429,-1,-1,617495,892161,733355,780754,-1,254959,54426,805397,75838,-1,36824,-1,776869,44821,-1,-1,774347,679151,14991,281477,-1,-1,1751,-1,479490,46656,846464,-1,379486,27575,456326,558788,210919,-1,-1,-1,-1,659497,644671,917212,135543,-1,-1,-1,-1,-1,-1,-1,238435,953806,-1,-1,863663,-1,-1,-1,754479,576528,934059,637884,847390,841677,-1,-1,-1,-1,690640,-1,-1,-1,-1,225685,-1,-1,-1,762023,-1,-1,697937,-1,63992,636596,978451,-1,-1,-1,-1,227680,945090,295822,521255,-1,-1,152547,350681,769882,987891,-1,-1,515053,738029,-1,-1,139331,721677,-1,664034,831385,761395,735581,956556,-1,-1,211911,256389,475375,363215,178677,-1,40508,-1,-1,418581,812414,-1,-1,-1,-1,175432,532426,-1,355808,-1,924477,-1,430147,-1,-1,382828,-1,-1,-1,719856,-1,21425,-1,-1,181203,-1,-1,329958,776735,-1,16783,-1,-1,193044,-1,26069,-1,413972,834013,-1,-1,891333,241311,558585,477963,363977,39323,362750,-1,-1,347890,-1,-1,-1,284461,-1,-1,-1,-1,378620,-1,837167,504577,464787,909919,-1,76304,581096,-1,89192,-1,884459,-1,107598,298515,539784,-1,-1,94073,-1,325848,-1,531231,496243,-1,893865,-1,-1,-1,54202,-1,655158,137794,-1,-1,-1,371364,-1,-1,96949,-1,-1,-1,-1,795026,351472,704731,190634,144777,37759,929222,-1,608745,-1,874489,-1,966951,283349,869274,198678,394814,924835,-1,958011,123369,-1,728592,-1,740937,341983,756377,710909,464119,653698,550857,-1,993335,460135,485238,612498,515840,-1,-1,-1,277579,-1,673178,242540,743116,287372,799066,-1,721554,62102,125675,917607,-1,901700,299894,906413,-1,186510,-1,287154,-1,-1,-1,830099,-1,930993,-1,504174,-1,-1,62298,41964,870661,-1,-1,-1,653035,131057,455242,-1,720981,266202,-1,997819,971854,-1,-1,456488,700301,-1,-1,-1,322715,761317,688143,165293,-1,-1,-1,708503,-1,438638,-1,326021,-1,256666,14290,238061,-1,713641,401821,230453,648352,-1,108854,-1,262110,-1,-1,631937,-1,75146,228472,904332,-1,-1,411613,-1,295741,121564,-1,859301,489283,796364,580484,-1,-1,798267,708147,625206,934372,-1,743083,-1,-1,829844,402592,-1,-1,461600,695756,740487,-1,43870,288368,697073,-1,757778,-1,-1,-1,-1,70703,-1,259321,-1,377708,324071,377496,-1,-1,971921,-1,-1,-1,627034,-1,-1,956260,-1,-1,-1,799683,-1,-1,-1,571371,-1,-1,737257,91582,-1,390979,-1,-1,-1,-1,-1,692486,-1,-1,-1,-1,547696,-1,-1,430384,621578,217735,102895,-1,-1,343982,-1,951085,-1,348935,854107,986959,170395,-1,-1,-1,823711,265100,-1,-1,-1,195105,995377,-1,-1,-1,67756,-1,731839,209943,799610,528814,50026,262148,-1,568326,618323,-1,481242,-1,475732,131793,-1,506999,670064,-1,-1,-1,937076,101323,534140,-1,688274,-1,949265,317212,543232,45048,-1,700711,951624,530251,519894,-1,120957,735760,863526,-1,885895,-1,508013,305265,-1,-1,97955,-1,-1,405958,-1,-1,-1,-1,9760,573930,-1,93818,-1,-1,-1,-1,-1,678794,-1,-1,-1,270235,-1,49099,786110,196297,830252,132225,-1,-1,144238,-1,407160,-1,726144,201660,802019,-1,-1,-1,523201,940452,766665,30606,-1,981983,871203,58323,358421,-1,245487,940010,430430,610393,-1,-1,227473,-1,-1,282706,341124,115949,-1,773695,949722,-1,411212,847152,-1,-1,961889,857224,605146,-1,248564,-1,411423,-1,433682,-1,-1,-1,622883,675640,-1,609838,839629,458775,-1,-1,996102,-1,-1,867960,481619,859056,-1,-1,992698,963294,-1,-1,277302,123339,505369,-1,-1,675025,-1,537696,718859,-1,-1,801344,428944,-1,-1,687735,-1,-1,-1,-1,846595,526514,-1,169257,742008,894568,-1,695766,869366,657652,285325,193294,-1,-1,198506,-1,-1,-1,-1,-1,-1,-1,987094,647226,-1,44545,-1,-1,-1,857962,-1,163561,939160,252417,303255,-1,-1,217589,-1,323656,-1,195467,-1,-1,-1,139164,-1,250613,-1,-1,-1,217897,-1,480218,5172,-1,-1,-1,542044,-1,-1,91915,748314,57739,-1,-1,390390,968077,374889,911747,-1,923673,-1,-1,-1,-1,-1,-1,445649,-1,366058,995150,660505,-1,-1,-1,286030,-1,34459,938272,348088,-1,-1,-1,-1,-1,612067,-1,-1,777134,-1,-1,-1,-1,-1,-1,-1,582939,-1,-1,685434,-1,-1,44586,-1,-1,390818,541301,-1,-1,55394,26572,890933,-1,-1,-1,-1,364049,-1,511032,-1,714378,-1,-1,238462,-1,972487,-1,-1,-1,-1,653227,-1,984265,-1,-1,249012,807572,-1,-1,793916,375284,248281,-1,-1,603871,878563,123206,840169,934606,-1,262472,773968,899520,-1,743819,-1,471776,40556,-1,829256,238489,588621,-1,650311,-1,-1,414216,385770,435651,-1,-1,-1,590134,959843,690979,461821,355630,-1,-1,465182,150865,936174,840555,-1,870337,-1,-1,608024,-1,192702,-1,64197,-1,150628,981050,314574,254247,955590,459406,647812,-1,-1,-1,-1,-1,-1,807295,-1,276449,-1,-1,-1,-1,184711,-1,135902,-1,-1,391449,-1,276255,-1,983898,519401,265057,285666,-1,-1,-1,534827,685492,987083,955050,540631,255169,467388,-1,969550,211261,-1,223222,997457,727243,-1,237232,-1,-1,-1,-1,413786,-1,-1,169567,-1,-1,393538,983977,-1,-1,-1,-1,-1,-1,123382,-1,933513,-1,-1,-1,-1,587342,-1,-1,321070,508736,-1,-1,178395,87705,-1,-1,-1,-1,676528,352471,-1,821713,-1,-1,654092,674395,-1,111310,778604,-1,450829,888773,229404,-1,204982,-1,245013,622362,-1,-1,-1,580398,-1,-1,-1,46535,-1,-1,359243,536068,652425,688436,-1,-1,498235,-1,-1,-1,824759,478142,870905,541197,646309,4389,986852,-1,892406,-1,51539,689081,-1,342487,-1,-1,-1,-1,-1,369694,473587,-1,-1,20589,933524,-1,911748,90055,-1,315023,345359,761408,211172,633855,-1,879397,403322,199505,384304,-1,564168,-1,280823,50215,-1,677112,892980,-1,-1,-1,-1,946416,302909,59961,-1,-1,396749,793949,-1,-1,378164,384297,-1,-1,655685,-1,-1,-1,369779,820768,-1,93928,-1,-1,-1,-1,-1,-1,464276,-1,-1,-1,-1,-1,-1,631511,6433,863110,-1,-1,912586,399615,-1,-1,-1,716786,30219,435636,-1,958133,-1,845419,-1,-1,-1,451025,204359,833818,-1,517974,212567,498246,-1,130951,-1,-1,718036,702485,-1,446018,-1,-1,232648,647009,542116,883581,-1,-1,-1,-1,325737,-1,397423,370379,629788,-1,293058,792519,-1,-1,875576,463642,-1,-1,425795,-1,-1,202329,-1,-1,-1,-1,511912,-1,20098,12158,-1,80177,-1,542429,636301,-1,292247,-1,-1,646388,830106,-1,573461,757553,770360,653647,690163,938413,481212,-1,-1,-1,931616,-1,-1,909442,339383,-1,-1,250282,899147,-1,-1,75012,-1,-1,737264,-1,320381,636065,-1,-1,-1,449737,-1,996211,-1,-1,469598,-1,221544,871093,-1,691076,-1,428330,851877,57846,-1,20184,581055,211556,-1,620395,-1,710889,-1,-1,-1,-1,-1,-1,-1,-1,214196,-1,84971,408175,603268,807269,466161,506728,822277,818015,-1,-1,-1,-1,-1,550992,-1,-1,209758,-1,-1,-1,-1,197348,238886,354398,695162,73554,-1,170316,661718,527332,159704,750491,108815,646600,511640,-1,-1,483687,726508,-1,-1,-1,363666,-1,-1,779248,369956,988748,-1,416330,-1,-1,750396,-1,-1,314753,292167,545836,514077,-1,-1,95031,904235,-1,-1,368226,940688,702916,371709,-1,167284,201267,-1,318396,574624,-1,213582,192553,927054,-1,-1,707402,630486,-1,-1,11233,-1,75106,-1,744158,-1,778117,816252,-1,65499,264364,504350,272435,-1,-1,-1,-1,-1,260954,-1,49443,-1,-1,-1,-1,594096,908031,988607,-1,602077,239716,388248,24637,-1,-1,364592,451779,-1,-1,-1,99915,854382,-1,73610,-1,388810,-1,780295,399933,-1,219535,-1,261166,24639,873826,239244,-1,-1,-1,-1,40600,-1,594865,530096,193648,-1,621104,419024,745960,-1,805006,-1,-1,132079,-1,-1,82878,-1,870174,-1,124335,271145,-1,8856,-1,-1,-1,-1,434800,-1,-1,-1,649581,-1,-1,701407,884800,-1,190709,-1,693270,-1,517464,-1,833617,969645,-1,529587,782983,883885,700309,148709,145641,-1,594809,-1,575599,945878,-1,-1,-1,726926,-1,985440,480174,-1,-1,174467,273691,-1,884062,269378,-1,-1,189192,-1,-1,-1,325428,856814,364731,484318,35284,843548,-1,79418,717164,273440,-1,-1,-1,644788,839615,70360,-1,977059,-1,577891,-1,498989,-1,-1,-1,-1,239403,657284,-1,446697,-1,-1,-1,-1,59042,60738,211498,180401,-1,-1,-1,-1,987697,317378,487897,512836,-1,-1,-1,-1,644889,181172,-1,705425,-1,98453,423873,223429,686263,-1,-1,-1,748762,-1,495628,633604,22397,913687,716820,704994,-1,391292,-1,61659,354694,-1,643505,802936,-1,93726,244179,804364,370282,70903,300086,-1,755204,682081,436427,-1,951792,-1,-1,-1,860964,-1,-1,575714,221023,-1,-1,-1,392966,-1,-1,995767,444196,416940,328793,722211,-1,288412,191617,-1,-1,508040,-1,-1,57414,546073,-1,775250,-1,720303,41244,703859,930622,-1,-1,-1,560271,-1,-1,-1,312816,177335,-1,-1,-1,-1,-1,-1,973999,-1,-1,777394,921263,709930,579984,-1,-1,293087,821367,85015,938181,-1,-1,-1,-1,-1,930535,811459,142464,-1,512993,461634,-1,37235,356534,865435,268936,712777,824803,-1,764298,-1,-1,5981,-1,-1,579885,493442,542136,-1,405967,-1,-1,712953,-1,-1,646724,-1,-1,805248,-1,-1,796552,389777,-1,-1,900778,-1,26151,479950,109443,-1,-1,811250,-1,832167,-1,-1,977859,-1,-1,201001,316688,329378,-1,725004,366751,-1,-1,-1,-1,-1,-1,-1,771767,-1,858331,-1,-1,845672,-1,432707,367967,519835,781500,-1,381098,809283,-1,-1,119548,395419,416034,543176,974384,-1,-1,41812,798672,304591,-1,-1,-1,754662,-1,-1,-1,171740,213939,294779,-1,8218,-1,-1,203549,-1,89068,282607,-1,-1,-1,645293,841562,893748,-1,435574,-1,128894,-1,75434,66131,-1,-1,703474,-1,261582,614298,106254,-1,-1,-1,579514,219651,218696,16964,-1,899542,279724,633416,597304,-1,774597,633710,-1,-1,-1,-1,-1,802837,221538,602491,199654,-1,600115,-1,-1,-1,714804,714950,-1,448581,17953,671033,-1,-1,-1,572507,-1,-1,398010,-1,202840,-1,-1,154551,-1,-1,257831,-1,988315,463875,-1,-1,845546,293673,441314,98296,-1,533506,996533,-1,75442,324202,-1,703387,-1,-1,624986,-1,-1,-1,-1,-1,-1,736784,-1,-1,-1,-1,-1,-1,-1,326236,-1,97485,-1,-1,530018,100231,-1,-1,393575,186668,928062,986846,961883,577570,900025,316596,154510,-1,198529,-1,952295,679474,764381,966303,129259,-1,-1,-1,130416,116828,-1,677753,-1,698015,505439,-1,-1,666176,138731,969783,-1,-1,104711,-1,118665,-1,766008,-1,748851,-1,-1,699865,-1,-1,-1,909583,-1,-1,-1,322827,669285,841984,-1,-1,739390,838835,-1,720000,-1,-1,-1,356505,-1,611125,-1,-1,-1,-1,-1,968745,-1,-1,522024,-1,503387,896222,183456,454365,-1,262352,45710,-1,-1,-1,-1,3307,139745,205378,-1,-1,-1,-1,-1,543637,-1,-1,-1,-1,419005,-1,353071,77961,-1,-1,-1,610460,-1,-1,-1,-1,-1,-1,271128,816936,507685,-1,-1,586157,-1,786505,206820,-1,-1,-1,633393,-1,427727,-1,-1,-1,-1,-1,-1,908718,93270,860475,652997,413065,-1,-1,-1,929896,-1,670641,958781,470728,-1,-1,-1,102535,-1,-1,112305,-1,515944,-1,935348,834912,-1,-1,-1,-1,-1,420048,-1,502057,-1,109700,-1,227616,918928,-1,838356,-1,-1,8392,-1,403923,-1,570553,576114,192141,17379,743717,691,484317,-1,103801,-1,-1,-1,895849,-1,-1,67494,-1,-1,-1,735011,-1,298228,332179,-1,309997,-1,-1,779190,146851,863350,653877,948698,262685,305999,304456,-1,-1,-1,-1,-1,459277,-1,802609,-1,82466,-1,-1,920025,-1,-1,348511,-1,27993,150194,544874,200282,-1,460103,804627,-1,-1,-1,483274,-1,-1,94551,863657,421125,121376,-1,429423,523041,-1,222900,-1,672048,184704,607575,409121,-1,-1,-1,669738,-1,907900,-1,806289,405825,-1,492385,-1,266439,-1,539124,-1,853665,-1,479639,-1,307482,-1,695982,84243,168099,800854,106003,-1,-1,669999,-1,-1,-1,-1,-1,-1,222479,-1,-1,-1,223219,666862,-1,-1,-1,-1,-1,898391,-1,-1,-1,-1,203595,-1,257096,812860,-1,-1,-1,891218,115536,79047,92517,125363,-1,32412,-1,-1,924201,9222,-1,-1,-1,-1,-1,717297,345449,532255,825875,633842,-1,322035,-1,-1,-1,-1,172205,562326,-1,784427,-1,-1,568131,675205,-1,-1,-1,688124,-1,352095,955455,-1,795030,898166,996564,-1,651289,-1,49896,458562,-1,-1,-1,802172,874144,-1,-1,-1,-1,892092,392602,487130,-1,8452,496199,-1,-1,365454,-1,257005,227772,-1,-1,284327,495908,-1,702090,-1,719361,-1,-1,-1,-1,-1,540818,309409,351232,29134,-1,-1,793914,-1,-1,-1,712005,-1,956169,-1,-1,520659,829136,-1,-1,908468,881264,-1,905545,506477,210826,-1,597997,572584,908466,881483,-1,663938,-1,-1,-1,-1,-1,-1,-1,517599,601708,321497,-1,-1,-1,276196,-1,955763,18453,-1,770977,246015,992324,-1,-1,230867,672383,-1,180998,642,866407,522715,-1,870622,331899,-1,320692,-1,654536,-1,671907,-1,157086,271426,-1,592418,-1,815367,5094,824394,891278,-1,-1,415403,-1,-1,-1,49879,-1,993815,-1,428937,150508,455717,903877,337565,-1,404292,275089,-1,-1,-1,862538,708403,-1,560723,-1,971804,-1,-1,158867,987165,-1,549657,-1,-1,150976,-1,251010,-1,609195,609301,528454,624090,-1,-1,771006,884465,893992,-1,384959,508540,-1,-1,550690,124093,964059,-1,-1,583167,-1,-1,-1,194468,-1,-1,-1,876781,676911,467857,-1,433065,442506,585083,-1,-1,383543,-1,435939,-1,-1,-1,802705,-1,272091,519247,-1,537826,-1,445871,337057,-1,903618,-1,283228,479646,-1,-1,-1,-1,-1,716589,-1,751188,499426,-1,-1,-1,-1,436615,810644,-1,101948,657928,-1,-1,-1,680334,-1,680703,-1,127359,109336,-1,-1,168879,-1,182393,-1,-1,986079,567034,-1,83553,-1,-1,-1,179990,-1,507334,694120,427670,-1,316343,-1,833493,566925,706299,374674,423995,640414,492161,672034,-1,857756,954225,-1,387942,-1,321539,-1,607352,490357,-1,543487,482553,-1,908753,83561,-1,-1,-1,-1,-1,-1,515122,-1,-1,-1,861263,-1,-1,793081,-1,-1,-1,-1,694944,497243,409881,-1,350818,883568,381221,-1,8991,-1,485064,776694,703862,-1,-1,-1,16073,-1,-1,-1,824373,-1,267505,-1,-1,183701,-1,601574,-1,471444,-1,-1,-1,-1,56355,472120,-1,-1,921039,238433,981895,969962,-1,105154,-1,-1,-1,491109,-1,773487,-1,-1,-1,762123,386030,892489,536813,725998,929591,-1,266564,83466,-1,-1,-1,276177,623365,727060,-1,781729,1818,-1,842255,-1,568604,-1,-1,-1,-1,875548,663170,735079,-1,471344,-1,337005,-1,-1,-1,658345,-1,-1,-1,-1,-1,169699,-1,958560,-1,-1,889239,14571,-1,459579,-1,-1,695870,-1,-1,352937,-1,-1,-1,-1,-1,537620,-1,-1,706288,696955,-1,737611,975246,21906,-1,358279,382345,751690,76712,936962,-1,-1,421001,-1,867412,-1,-1,-1,123425,-1,425839,-1,667505,-1,780103,-1,960869,695921,-1,-1,-1,444912,634073,169368,520460,744773,259332,-1,-1,-1,-1,-1,281112,-1,-1,-1,215788,826701,15734,218994,-1,323354,-1,929681,573588,-1,715821,-1,-1,604749,-1,-1,-1,461020,-1,42201,-1,-1,-1,871058,341460,10283,-1,-1,-1,-1,750988,-1,801589,507478,-1,77779,831023,181569,38995,-1,-1,-1,-1,-1,223139,-1,-1,-1,-1,216107,-1,887681,62162,-1,841343,895457,910969,202934,-1,-1,-1,252953,936907,761247,792804,679000,-1,-1,-1,-1,-1,-1,-1,988728,81045,811955,-1,550749,96860,651324,-1,-1,885678,606917,-1,-1,220592,-1,141747,-1,-1,799487,-1,-1,-1,210280,-1,85187,-1,246395,840065,367263,659123,-1,955125,835195,-1,-1,52317,184569,-1,293274,-1,-1,257469,-1,-1,593580,-1,947023,-1,898999,-1,462840,415636,164071,668036,-1,414837,-1,5624,7605,466613,569727,383148,621218,-1,-1,24561,-1,274175,-1,397529,328873,-1,-1,179343,673987,901804,870675,-1,-1,-1,-1,-1,-1,111074,943020,-1,206859,-1,-1,508095,323783,-1,533429,-1,-1,142023,499151,407517,-1,454095,808871,-1,12891,26777,-1,842353,-1,863608,-1,-1,-1,371715,-1,693000,-1,558433,99714,696485,-1,842987,-1,325003,-1,-1,-1,-1,-1,939900,481596,217680,-1,817127,615105,191115,-1,721165,317595,660789,-1,19114,487103,666699,-1,328670,939136,-1,357323,-1,-1,-1,-1,-1,-1,-1,-1,448660,579026,71788,439427,-1,654578,100034,-1,968868,266253,818841,-1,-1,-1,264040,-1,236860,-1,949081,-1,-1,162562,494056,127171,-1,524942,613980,-1,615457,-1,-1,-1,401276,-1,-1,-1,186039,728028,957994,-1,182552,-1,-1,-1,386354,-1,118512,970078,97055,396054,-1,-1,478935,371479,-1,-1,-1,-1,504745,-1,505375,865390,-1,-1,-1,923981,-1,745599,695332,-1,-1,95575,845231,-1,-1,-1,-1,609443,663348,992817,247580,479844,-1,-1,-1,513780,415852,-1,996504,-1,-1,-1,-1,-1,-1,997961,726113,-1,-1,1591,189434,-1,-1,146718,-1,-1,300937,-1,-1,-1,80146,501491,-1,-1,-1,800456,-1,164418,-1,-1,166935,262519,-1,98362,-1,-1,984985,13710,818312,891351,148606,968237,-1,239604,-1,-1,884851,-1,160351,-1,-1,619137,652671,422406,769026,422800,253458,237575,-1,-1,-1,478613,-1,-1,707432,336761,480301,350299,371137,633206,208607,-1,679206,728453,607336,-1,-1,-1,-1,151550,-1,582181,-1,995189,4521,791103,32538,-1,434,244829,-1,728865,-1,-1,411709,-1,-1,-1,-1,-1,258782,-1,332366,-1,-1,-1,-1,-1,841577,-1,-1,-1,-1,958815,648743,-1,-1,-1,-1,754441,283003,68122,-1,-1,-1,565273,-1,-1,426487,320078,-1,904081,474919,303331,-1,552218,-1,138854,-1,217927,456598,-1,-1,-1,-1,-1,-1,449679,-1,910388,370965,445485,-1,-1,-1,235581,-1,-1,-1,-1,-1,-1,-1,-1,34153,-1,851922,753127,417776,-1,134230,-1,-1,-1,680555,-1,-1,-1,-1,-1,531529,-1,684482,-1,479686,659284,904278,-1,887455,479964,-1,932452,808380,385359,220945,-1,749181,-1,-1,592762,289645,-1,81699,364165,87590,-1,-1,896304,-1,799034,614291,-1,885286,93142,632641,-1,388640,-1,360278,752401,-1,542726,720801,155797,-1,230221,-1,96610,633363,-1,-1,-1,-1,996729,-1,-1,-1,-1,-1,-1,401896,582254,-1,-1,39908,489246,9130,995822,-1,84424,-1,192545,-1,193784,-1,70475,-1,-1,643424,-1,-1,-1,-1,384886,830468,-1,256232,850133,-1,-1,42974,-1,-1,-1,155363,-1,-1,-1,685483,-1,-1,-1,-1,771760,-1,-1,-1,406111,-1,-1,767227,574387,-1,-1,-1,-1,676651,-1,104748,414173,-1,398653,773771,-1,851639,141285,-1,-1,-1,-1,-1,300368,-1,-1,471461,518268,130591,721664,-1,793880,-1,801174,-1,219573,359140,-1,-1,-1,870922,979195,170669,-1,401960,-1,449581,738524,946483,677148,-1,-1,255532,99664,853650,-1,850948,-1,-1,555218,657909,973299,151782,-1,59480,445440,175239,169198,724126,-1,263165,-1,932757,-1,-1,547900,478034,-1,634887,-1,-1,-1,-1,520442,-1,924586,-1,-1,114453,350189,-1,-1,-1,203181,-1,512816,-1,-1,-1,-1,916252,875652,-1,398963,257863,-1,-1,-1,302720,335401,800357,989406,478678,-1,610433,-1,-1,-1,-1,-1,-1,-1,-1,872811,177469,-1,835396,-1,-1,189027,408000,247241,-1,698804,-1,30273,-1,474633,-1,-1,-1,-1,835812,804560,565973,331381,-1,694188,443158,-1,-1,-1,495369,-1,780455,391770,655751,-1,783141,-1,328005,-1,-1,-1,155144,72965,-1,680151,832183,-1,584191,387317,-1,-1,-1,-1,-1,878946,-1,522235,-1,716865,-1,-1,501461,-1,-1,-1,825814,349552,-1,-1,-1,348719,-1,-1,772824,537738,-1,-1,-1,554294,-1,-1,-1,-1,-1,-1,95457,-1,521283,-1,-1,-1,124995,-1,-1,-1,-1,839986,-1,68921,178451,411421,45544,848383,164524,-1,549014,-1,755812,-1,406202,466112,621429,-1,-1,178700,-1,935601,265750,770928,-1,85537,-1,-1,-1,992770,786016,862464,-1,778910,732403,461874,285921,352919,-1,-1,126005,856890,-1,852706,261132,-1,-1,-1,-1,12615,-1,-1,109621,86978,-1,-1,-1,-1,-1,-1,-1,438326,-1,-1,-1,4619,853889,-1,-1,571482,992880,173697,286824,50397,906128,-1,859608,369158,-1,-1,-1,-1,-1,-1,818919,658501,-1,602525,181793,-1,167348,-1,-1,196056,-1,-1,-1,511045,-1,-1,434744,421185,725770,-1,590138,-1,494044,-1,806973,435714,887926,425797,343916,-1,910898,489120,7858,219835,254829,123317,910971,486039,-1,699088,301262,641404,351157,-1,-1,-1,865027,743398,217061,-1,-1,630631,-1,-1,100709,-1,270525,460845,-1,-1,56418,58392,-1,-1,616036,-1,-1,621595,-1,-1,945065,781499,-1,15638,-1,944374,-1,855368,-1,-1,794283,376482,-1,950588,-1,936199,-1,306531,727481,159219,-1,-1,-1,241785,269148,320019,181757,357130,-1,917763,-1,150894,-1,-1,503339,544203,194381,-1,10833,-1,324774,-1,-1,-1,829838,59636,193167,-1,-1,-1,-1,424866,148963,588389,949024,-1,-1,298303,921734,659208,907233,462961,-1,-1,-1,-1,216025,516278,-1,564063,-1,822512,195133,-1,-1,694837,480025,-1,-1,-1,-1,-1,981752,406746,-1,-1,-1,912672,-1,122963,-1,99613,-1,-1,353322,889396,-1,-1,434147,856785,-1,-1,154085,163965,888448,-1,-1,-1,935754,451072,991816,140907,33980,-1,830867,879164,506835,-1,653291,-1,544285,796983,387955,480325,-1,-1,-1,-1,283727,383465,753448,666231,-1,-1,669699,815998,180545,927888,-1,387354,799841,426639,993776,747743,-1,-1,-1,865028,-1,-1,-1,7791,157532,-1,835085,568992,-1,5990,-1,365347,-1,65144,-1,-1,-1,-1,-1,-1,503423,725337,-1,-1,72841,-1,777927,57921,601236,472266,208783,27188,-1,-1,218222,-1,442376,43935,-1,-1,286551,48149,386209,583224,-1,-1,-1,-1,194110,329368,-1,-1,773653,196387,455376,969299,989215,419852,575942,840546,-1,523090,931780,311933,659110,178824,261527,-1,194253,-1,836767,-1,-1,936889,-1,394252,-1,-1,-1,203948,770312,-1,424112,-1,-1,127006,-1,34307,408631,814248,-1,66525,105228,-1,583520,-1,368830,408953,-1,25079,151472,8202,-1,-1,866602,-1,-1,816553,-1,965676,-1,-1,-1,-1,42729,327,-1,-1,-1,806333,-1,-1,956685,231643,217193,902709,-1,79527,488828,-1,73819,-1,-1,270142,-1,64260,645430,846016,-1,-1,276457,675928,575088,-1,165720,-1,842104,-1,118206,-1,-1,-1,-1,992285,802032,89247,43831,-1,610039,-1,-1,-1,88597,149549,837253,244705,-1,-1,452419,607341,-1,-1,-1,413503,388029,-1,456636,-1,821371,450732,-1,404827,-1,627713,752402,-1,930892,-1,-1,833954,375904,669940,629231,-1,228901,-1,162686,-1,566496,24415,-1,471898,-1,691751,904389,-1,228019,696016,567943,888400,-1,-1,592557,-1,474382,263829,-1,-1,-1,-1,729619,826814,892095,17805,-1,-1,578613,636834,239602,150013,-1,-1,548201,-1,-1,919116,99776,-1,-1,734989,578446,-1,-1,-1,618079,-1,641012,-1,522848,-1,778359,915057,454659,-1,-1,426781,200098,-1,76390,-1,728209,698185,-1,994261,-1,-1,-1,-1,-1,-1,-1,480998,-1,457132,523635,961325,986337,636372,-1,326311,-1,302724,-1,213110,138748,-1,285254,502949,-1,942735,-1,-1,-1,-1,-1,-1,963016,190839,40512,-1,-1,774018,434693,264559,-1,-1,415423,-1,599908,169847,550746,-1,-1,-1,617928,-1,-1,-1,-1,-1,-1,-1,879953,-1,-1,733554,-1,474021,-1,-1,-1,531200,197290,-1,-1,580381,503907,-1,-1,-1,273341,-1,867597,168658,-1,-1,-1,-1,963543,-1,255363,-1,49664,-1,585100,279644,-1,-1,-1,-1,-1,279922,-1,433777,-1,191792,215142,325336,-1,341083,-1,512684,492227,-1,-1,361910,-1,465757,-1,-1,70572,-1,101078,-1,-1,-1,388075,667060,876298,-1,-1,-1,-1,-1,867500,299736,-1,674253,-1,-1,304181,-1,-1,852773,326526,631486,-1,-1,957839,-1,479952,150253,848255,-1,116510,-1,-1,90574,-1,-1,80150,493598,-1,885329,413614,-1,-1,-1,-1,654921,829931,607274,639933,939877,237450,-1,758691,-1,-1,77443,925433,479123,894395,-1,-1,-1,-1,770717,-1,-1,-1,991778,-1,347768,-1,-1,690064,353159,-1,394238,296580,-1,250283,-1,-1,497981,-1,-1,-1,21507,282733,15752,686859,300880,-1,275350,562591,-1,278566,691067,905585,913660,-1,-1,-1,-1,-1,266040,114470,-1,126090,-1,-1,809389,-1,875328,94479,631102,-1,917942,-1,750232,-1,-1,514166,804163,55087,-1,-1,912654,350444,114918,-1,132326,-1,-1,-1,-1,312090,188130,14666,135832,-1,-1,-1,-1,864063,917164,-1,-1,-1,-1,-1,173398,729525,768745,-1,-1,-1,405303,-1,-1,231444,925499,-1,-1,793004,-1,-1,-1,272429,196531,-1,846319,820216,454170,-1,962463,937043,497630,268798,130848,93403,-1,298430,217224,-1,822673,-1,204739,-1,694646,-1,-1,-1,-1,662881,-1,459581,-1,733249,318177,-1,-1,-1,777002,-1,435635,475648,-1,971922,11051,-1,-1,-1,522088,682562,734523,105712,-1,761412,-1,-1,192495,-1,299691,647347,317316,508341,-1,121797,386580,-1,-1,411424,713712,-1,-1,350989,508587,-1,334996,526934,132672,-1,-1,73978,604302,525672,-1,-1,-1,616185,-1,-1,-1,-1,-1,-1,538908,509385,378242,-1,-1,-1,782637,190111,-1,-1,836363,218022,963010,-1,671970,108054,-1,321635,-1,490023,-1,970346,-1,-1,-1,-1,-1,239389,95188,679752,689094,-1,-1,914851,678873,375421,547053,-1,-1,358562,774562,-1,-1,-1,281834,-1,518552,-1,-1,449087,-1,-1,667892,-1,-1,745725,454306,-1,162298,-1,775308,-1,-1,-1,-1,-1,-1,-1,881984,-1,454104,-1,587166,738920,-1,-1,501056,626632,-1,-1,277016,984424,-1,424844,226910,243813,771119,223040,320414,-1,-1,-1,-1,-1,978735,-1,-1,901758,-1,877467,939688,612592,-1,605301,-1,-1,-1,265078,804123,143392,344685,-1,275362,801002,102073,78407,210837,-1,-1,-1,547315,616219,-1,486619,-1,927797,-1,-1,290312,-1,-1,-1,279701,743563,-1,54167,-1,-1,300670,-1,554008,885835,940220,-1,89402,674254,-1,931320,-1,-1,669758,686653,146786,-1,-1,867259,237770,545272,-1,-1,284917,-1,-1,-1,-1,-1,684185,-1,-1,-1,401917,-1,982172,-1,-1,45001,131873,-1,167626,688220,-1,614273,-1,-1,-1,289045,665401,-1,838371,316601,-1,-1,753102,138941,345622,693067,-1,-1,666510,-1,-1,-1,-1,696929,283659,-1,-1,-1,110919,938731,676575,-1,874177,810145,537578,969101,542196,-1,-1,544153,-1,721203,-1,978749,588681,-1,946382,-1,929218,-1,-1,-1,16498,-1,-1,-1,-1,-1,-1,590284,-1,-1,328154,3059,-1,901849,753443,247245,974674,166243,-1,-1,-1,52519,-1,-1,-1,-1,-1,-1,26648,941266,-1,834773,262035,-1,502690,830103,-1,-1,-1,738498,-1,898574,1056,279938,648801,56633,-1,525848,-1,359064,715044,711800,-1,941171,-1,856007,343056,99428,-1,354049,613050,986763,-1,-1,505780,-1,-1,-1,-1,627929,759846,460454,-1,-1,-1,-1,-1,-1,-1,379947,-1,212556,542456,-1,992687,44911,-1,481134,-1,-1,-1,-1,834122,-1,-1,104263,-1,586179,955441,553392,332559,306412,-1,-1,-1,742263,-1,-1,-1,654816,416683,725284,376723,132294,900683,-1,259263,815876,-1,321114,469910,282464,-1,-1,-1,-1,904541,-1,264021,-1,-1,748885,-1,693895,845702,814433,-1,-1,537013,994342,563102,745319,-1,-1,-1,-1,-1,-1,-1,-1,823796,-1,830841,-1,677849,519147,488153,-1,-1,-1,-1,494747,-1,631477,351227,229928,354674,-1,896124,-1,474814,947824,-1,108679,171778,442137,-1,183078,-1,-1,-1,599012,-1,-1,96113,981575,123219,171837,-1,-1,-1,621440,-1,819666,-1,993826,523671,-1,-1,-1,421471,847387,-1,749133,-1,-1,899491,764223,691844,-1,176828,591775,305740,-1,235780,778650,-1,-1,592117,-1,546503,393432,-1,298269,19405,-1,91616,467545,-1,-1,-1,-1,702006,122351,-1,-1,-1,-1,422979,585251,60578,896937,-1,582568,-1,853114,533761,622014,775351,-1,909103,648376,743567,-1,843290,-1,628254,-1,980111,818543,-1,978566,13640,-1,-1,-1,156937,666392,-1,-1,968454,-1,-1,-1,968694,679423,813528,-1,844032,-1,97046,-1,909110,-1,-1,-1,-1,920925,642924,36093,272156,-1,-1,614087,-1,466659,-1,157621,339452,999945,-1,420832,-1,-1,-1,845062,-1,-1,-1,-1,487883,-1,418214,-1,-1,403432,-1,-1,-1,503800,-1,105252,203309,848446,-1,-1,-1,-1,683052,424931,479021,-1,-1,-1,369883,234131,434634,661275,-1,-1,-1,-1,-1,488790,643365,739387,298664,-1,956412,807962,17683,99084,-1,-1,973334,-1,252956,-1,786470,-1,-1,438253,-1,-1,-1,867588,83433,749738,544848,821123,-1,-1,105158,-1,-1,-1,508401,816278,941961,-1,-1,97587,-1,-1,243730,-1,-1,835378,-1,-1,318206,800106,549744,757996,415643,99444,660699,12282,122228,-1,266578,-1,174737,1151,458928,132723,-1,805812,-1,-1,-1,20965,-1,463006,-1,-1,38326,423609,-1,747080,-1,-1,780688,-1,-1,-1,429375,790726,-1,497555,427195,162459,-1,-1,-1,514032,805664,-1,467122,-1,936807,533206,-1,-1,-1,689313,-1,-1,-1,-1,-1,270701,219129,-1,844280,-1,168796,391385,124416,-1,690278,-1,-1,970868,650579,499133,754587,617422,590441,-1,-1,230647,203369,911166,36056,-1,610021,-1,-1,-1,520444,864845,376388,754681,-1,-1,592039,845291,-1,-1,455363,-1,765184,232550,719617,930382,505760,442937,-1,898113,-1,-1,-1,516778,-1,209653,-1,71114,908332,260946,399174,-1,-1,-1,-1,-1,333548,-1,301928,91993,-1,-1,320031,-1,-1,-1,739672,489011,-1,-1,908948,607550,-1,-1,931319,662536,883460,382596,315594,947691,-1,819805,745595,-1,-1,-1,752511,-1,-1,-1,219568,-1,211358,911458,-1,79841,774238,-1,759999,993259,515858,-1,597391,-1,-1,-1,-1,-1,697763,-1,-1,-1,-1,-1,-1,-1,-1,-1,229874,-1,-1,748442,624023,534221,460078,375989,421570,-1,-1,150754,-1,986518,172903,-1,326346,-1,321954,-1,-1,-1,-1,71184,-1,-1,686827,-1,886324,666210,951125,-1,132742,-1,-1,875791,219318,-1,727670,669283,-1,-1,-1,-1,706864,-1,832790,-1,153974,296839,-1,636792,997492,-1,-1,-1,745983,-1,-1,-1,-1,-1,308221,846973,770725,814397,-1,-1,-1,-1,-1,-1,-1,-1,767625,-1,-1,493333,-1,-1,-1,762426,930493,812767,-1,-1,-1,910189,-1,-1,-1,-1,-1,-1,914977,135495,927432,74074,888055,849171,573806,953181,853747,-1,-1,886368,278658,641549,542944,563135,-1,-1,-1,859469,-1,-1,768152,-1,-1,-1,954645,258282,-1,-1,-1,335393,518174,178554,636461,613422,285620,-1,160914,-1,750953,-1,-1,-1,-1,227653,197831,-1,-1,774304,-1,533588,674717,-1,-1,338570,-1,727029,-1,-1,-1,754827,257986,546796,904865,579544,481446,-1,197910,360008,12688,-1,-1,-1,342879,-1,-1,-1,-1,-1,918257,-1,65778,-1,113063,-1,549064,-1,819762,70284,-1,273324,-1,-1,-1,650502,926262,296666,-1,-1,694106,-1,-1,845218,-1,-1,520333,-1,-1,-1,677604,-1,697854,217865,499964,893568,488394,-1,-1,-1,-1,-1,-1,556191,-1,-1,277404,877402,-1,134260,-1,264433,216344,-1,-1,-1,-1,13705,-1,-1,-1,-1,-1,465292,738976,669616,907268,-1,-1,133721,-1,-1,165746,578817,266789,103629,228360,51162,574947,-1,982791,720391,-1,-1,-1,-1,847182,-1,11909,-1,-1,-1,970688,-1,152776,65042,913276,763543,868141,-1,372239,-1,819854,284139,-1,-1,84607,101100,-1,-1,-1,228792,28044,-1,-1,-1,-1,731309,-1,-1,-1,346641,40560,18264,354219,331614,100135,553826,797670,-1,-1,631762,-1,-1,86439,-1,-1,651763,850815,-1,-1,-1,392975,946227,968517,292991,502533,-1,58354,-1,34545,-1,-1,623086,-1,-1,-1,-1,-1,843743,-1,251636,-1,875416,466759,-1,-1,-1,-1,-1,956752,486179,106440,-1,-1,750641,-1,-1,665306,21793,907432,-1,-1,-1,-1,482821,558216,827760,945303,491396,-1,738130,857683,459360,192660,85475,522775,-1,-1,-1,297467,-1,-1,-1,474486,531007,-1,-1,394862,677892,751157,-1,-1,80399,-1,-1,-1,-1,903441,-1,-1,920973,-1,-1,-1,-1,385529,-1,685777,438209,906541,934707,-1,725801,-1,17109,-1,58894,-1,67479,-1,-1,967789,-1,-1,-1,71812,391515,-1,267507,541199,-1,-1,510220,706592,-1,-1,425540,470830,210167,496956,-1,509731,280760,-1,57083,-1,907162,670983,628684,-1,364256,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,21521,-1,422454,-1,-1,552223,326808,329004,-1,124193,-1,546539,738338,418375,149947,-1,524009,-1,-1,358801,523614,-1,-1,-1,-1,253227,-1,612649,94025,-1,742861,-1,995234,244042,-1,-1,-1,-1,-1,260373,409364,-1,-1,486011,-1,-1,-1,36704,-1,249781,-1,660669,-1,-1,699220,641518,-1,374470,-1,751542,-1,-1,-1,179637,-1,-1,527321,-1,-1,959944,649909,-1,274803,-1,770772,799004,-1,-1,-1,-1,-1,34207,-1,-1,730419,50886,688545,-1,-1,-1,-1,-1,439152,812283,157866,812772,45845,309518,616193,-1,582110,-1,-1,-1,-1,485355,-1,43300,158717,43714,-1,713872,-1,-1,-1,991182,935535,-1,148900,454119,74173,776503,116155,-1,-1,-1,949449,-1,-1,749694,815413,43186,-1,-1,-1,628488,83958,626406,683821,-1,346076,-1,58063,-1,-1,-1,369703,705651,643915,-1,-1,-1,110600,443255,637458,-1,-1,976636,-1,407165,-1,338670,-1,202299,180479,-1,-1,-1,716303,690108,815836,611941,602480,744937,-1,-1,-1,-1,-1,217739,70426,753603,-1,12135,486789,-1,-1,826277,-1,-1,-1,-1,-1,700571,851782,-1,674482,530529,134701,-1,690852,-1,-1,-1,505135,-1,-1,-1,-1,-1,-1,895060,827852,-1,840528,847782,-1,621932,388917,88890,-1,-1,56680,28864,-1,-1,-1,720933,-1,-1,532576,3705,222883,9520,-1,-1,667301,-1,-1,837807,954365,481776,137128,936929,-1,572606,-1,-1,449878,24029,414264,239826,647912,-1,30177,-1,360946,-1,142763,-1,228566,928248,223784,-1,-1,557452,-1,-1,-1,709972,-1,-1,559042,-1,793717,-1,735384,-1,-1,117032,323931,-1,-1,-1,-1,-1,-1,-1,-1,-1,220720,-1,847448,-1,978086,-1,152979,-1,68392,-1,-1,-1,911837,-1,243705,-1,-1,-1,377153,-1,-1,-1,185488,-1,-1,-1,-1,-1,-1,736662,683934,678878,677726,989823,-1,792405,-1,-1,-1,466560,-1,4022,-1,564076,-1,-1,-1,630799,38151,-1,-1,-1,-1,-1,880922,390351,271653,552452,-1,598660,151023,975696,725347,-1,637493,-1,350885,403574,131437,812217,844793,675675,553130,-1,-1,-1,407855,378692,-1,-1,-1,-1,264691,28322,230564,807824,55813,85759,970191,963342,368103,755629,-1,430033,-1,584043,384680,852345,670722,848264,-1,379178,-1,-1,813755,48189,-1,438431,-1,-1,-1,-1,-1,-1,-1,582651,-1,-1,-1,448200,-1,-1,-1,-1,-1,678523,392151,284502,-1,-1,-1,22913,-1,29019,68273,518203,-1,74146,68020,922645,-1,-1,521937,720941,-1,27497,-1,389899,970095,282973,907344,-1,-1,-1,819749,-1,45720,231818,-1,761879,-1,-1,-1,-1,-1,-1,676643,-1,244767,-1,-1,-1,-1,-1,-1,552219,-1,-1,-1,-1,-1,719198,-1,-1,-1,-1,-1,-1,-1,541680,330712,-1,23479,451332,-1,-1,-1,627066,-1,305363,-1,122364,91694,-1,218212,821715,18601,821130,-1,-1,-1,-1,881792,-1,286379,24138,879046,-1,29577,6774,-1,-1,848601,-1,-1,529626,-1,-1,-1,-1,910775,359334,403908,-1,33642,-1,420786,818614,453465,-1,-1,-1,615193,438212,133322,-1,-1,629356,113859,-1,-1,385579,-1,-1,922213,-1,964679,-1,-1,-1,552879,745034,-1,812347,911470,-1,216263,246361,-1,-1,-1,-1,-1,-1,568493,890725,-1,693609,705370,-1,888894,-1,852558,-1,255057,-1,-1,608324,-1,227876,562949,895556,595118,-1,-1,-1,-1,-1,-1,935652,-1,-1,-1,-1,-1,288508,576262,562001,704607,-1,563731,440571,54592,905188,-1,204671,707795,569122,-1,-1,-1,-1,411228,806297,921929,629351,-1,175816,161339,270579,-1,-1,-1,852955,-1,-1,450760,114959,-1,256014,230821,790030,-1,-1,-1,-1,173232,684786,-1,548306,134481,285969,446734,145191,-1,375217,-1,613964,-1,110273,383184,625673,-1,824690,690266,-1,543139,232440,118003,-1,867104,772540,242883,69020,-1,-1,395750,-1,211320,-1,-1,618320,-1,-1,30649,977749,-1,-1,405188,-1,87879,82258,-1,861990,591835,404979,824667,645526,-1,-1,-1,-1,113938,127419,-1,-1,21162,-1,592295,467233,-1,435008,655341,-1,-1,-1,-1,-1,178341,-1,-1,397281,-1,997680,331270,-1,595746,825047,414329,-1,-1,222740,-1,-1,371969,145167,935215,-1,-1,84030,-1,-1,-1,-1,950344,-1,897088,-1,512987,-1,673392,-1,-1,115228,-1,-1,-1,556902,513426,311942,-1,896765,435996,958956,357342,686606,-1,379167,-1,-1,-1,-1,-1,364159,-1,531537,-1,-1,-1,468938,-1,-1,103469,-1,-1,-1,187131,-1,-1,423411,-1,568767,687332,122328,-1,702249,-1,-1,853778,-1,-1,887265,-1,-1,360584,989365,244598,699754,398481,326920,-1,-1,918078,703612,420476,474654,-1,277251,-1,-1,-1,973410,753146,670183,-1,-1,-1,-1,480356,364521,-1,-1,565906,919382,-1,-1,827483,-1,106112,-1,-1,356463,559495,-1,-1,-1,930920,544442,-1,-1,-1,-1,-1,659815,-1,130131,2090,-1,560770,75479,-1,416438,-1,832360,-1,509475,-1,-1,719001,-1,844292,220718,687775,239148,-1,-1,981824,468278,-1,312197,-1,661810,-1,-1,378935,25059,91436,548218,873864,-1,-1,-1,161114,-1,-1,976349,477732,-1,270715,-1,-1,787433,936592,460971,-1,-1,786814,5770,-1,-1,-1,347433,923238,-1,30430,497122,-1,425650,428789,50762,828171,515090,55216,-1,-1,-1,451191,606513,498567,-1,432615,157367,53785,-1,349492,-1,-1,538120,-1,445041,-1,-1,672715,-1,-1,-1,68466,710780,804552,-1,-1,920694,-1,584381,796102,1237,-1,650499,163145,823261,708321,-1,-1,-1,-1,-1,-1,-1,-1,636900,441053,-1,167907,734828,531413,859862,547020,-1,851760,-1,-1,-1,-1,-1,493480,126286,866248,985477,-1,744768,11232,303563,642872,829426,273210,-1,724469,347328,-1,733914,129357,154733,867035,179223,-1,78954,638295,971179,-1,497164,-1,-1,-1,-1,-1,-1,-1,931099,471561,-1,831503,-1,-1,-1,313190,282904,-1,-1,25905,-1,226063,-1,-1,106095,-1,-1,-1,-1,637645,120476,-1,-1,734113,254361,-1,-1,821712,-1,-1,385996,-1,-1,670131,-1,-1,749415,-1,203440,-1,-1,714421,745730,-1,-1,-1,155657,119983,-1,-1,-1,642710,811076,26286,719935,-1,-1,226008,-1,-1,-1,-1,-1,-1,513487,-1,95588,240375,-1,405740,764068,502242,-1,443576,67752,991637,-1,-1,368280,321203,-1,611120,-1,-1,-1,-1,-1,-1,730733,654093,-1,-1,-1,849814,363424,-1,-1,81426,-1,435299,536451,-1,560978,73391,-1,-1,-1,377393,-1,-1,-1,-1,-1,38724,305251,479617,590243,-1,-1,301619,868722,210752,604156,-1,777253,-1,-1,-1,473438,-1,-1,291325,741244,622154,-1,23146,596853,629403,429494,346230,32732,-1,28459,21939,572820,-1,961001,-1,438108,316772,-1,-1,-1,198388,370367,274244,-1,260018,-1,854352,-1,-1,-1,-1,230158,435488,-1,-1,197146,-1,-1,390501,772606,244376,-1,-1,222402,-1,233462,-1,-1,990496,-1,173722,-1,-1,-1,20464,-1,340239,270832,466230,-1,-1,522195,750565,-1,521643,-1,343390,226201,85816,-1,150512,-1,678431,618124,-1,-1,573037,-1,304040,-1,-1,-1,781367,-1,-1,647523,-1,294581,195712,748480,-1,476724,-1,485810,605007,-1,749169,-1,-1,975939,-1,193854,-1,-1,85739,14363,505370,379802,-1,74890,-1,-1,25243,-1,804528,963081,648825,-1,-1,-1,520716,562646,-1,914772,413099,566344,212826,-1,-1,278474,93321,-1,-1,-1,-1,34446,678376,259429,-1,-1,-1,-1,681633,-1,732333,-1,-1,832285,-1,776021,149282,295046,752444,207176,914957,-1,347235,-1,57479,-1,-1,183559,23289,890309,-1,358485,723758,343588,-1,-1,191533,376761,195648,407760,-1,-1,181862,589578,-1,72779,-1,-1,-1,530182,-1,-1,-1,901841,-1,694096,-1,-1,-1,212580,544421,774112,159527,-1,654569,-1,865445,-1,673358,-1,-1,-1,952169,905195,-1,458809,946318,-1,323445,457935,466074,-1,316753,178428,736391,-1,752892,-1,665272,-1,206221,-1,-1,510764,525883,-1,988439,-1,-1,739806,624649,920035,-1,737100,602,981317,395491,-1,-1,96476,33821,-1,941809,287785,617788,4256,139370,745137,-1,214870,664708,981118,628755,77188,-1,-1,771321,688370,-1,-1,104225,904749,-1,380831,707758,-1,-1,518654,-1,-1,-1,282286,-1,-1,517553,-1,-1,941344,-1,-1,-1,-1,156225,298491,602583,33785,658401,-1,-1,783144,-1,-1,-1,-1,560733,-1,557263,-1,457768,-1,164356,316,-1,-1,866033,131617,824901,-1,689419,-1,840480,40318,925659,777379,-1,713151,235517,727673,604072,301215,-1,230608,-1,-1,-1,-1,114254,-1,-1,23379,-1,904146,913246,-1,226799,2454,755899,-1,-1,-1,-1,231363,-1,-1,243871,409866,217598,866700,597676,-1,-1,-1,956774,723953,396010,528881,357348,-1,83352,248687,-1,-1,434639,-1,35987,-1,-1,-1,-1,418080,150481,-1,922555,111994,-1,983144,428912,-1,351201,-1,355571,791670,234668,-1,-1,-1,118540,863845,-1,536991,38716,-1,4292,-1,-1,344858,-1,-1,770265,894308,-1,762688,959199,-1,-1,-1,-1,906502,-1,-1,365660,-1,-1,-1,-1,434943,-1,687415,-1,775719,73191,-1,-1,-1,-1,-1,-1,-1,828745,590276,-1,-1,442474,-1,-1,-1,-1,466526,677901,-1,80689,-1,254920,-1,-1,270791,322449,-1,517312,-1,118279,-1,-1,-1,537833,-1,421904,-1,-1,-1,359754,235748,-1,-1,-1,192002,806971,278037,863717,401274,526919,492505,-1,-1,349985,-1,875721,85631,-1,-1,-1,854220,59180,-1,-1,218386,39448,-1,-1,874912,-1,703161,-1,-1,-1,59083,84171,532658,-1,-1,352214,-1,269427,-1,-1,-1,-1,194060,794755,868610,816355,-1,629872,818868,-1,-1,723142,214304,-1,849419,180654,994668,-1,-1,792637,649078,12821,961256,532510,-1,268775,-1,857607,649599,-1,177812,-1,-1,975868,844107,412261,-1,258447,-1,95003,-1,-1,-1,201643,771664,147174,430001,583106,-1,-1,701815,-1,-1,-1,918490,-1,-1,-1,-1,96445,-1,-1,440316,814181,788412,-1,563089,710698,-1,260953,174352,-1,-1,157998,-1,586722,-1,692278,-1,798237,-1,436244,-1,-1,786422,914685,735738,-1,-1,597009,-1,-1,-1,774400,-1,57271,721601,237619,229509,-1,674488,358356,109624,-1,402300,-1,-1,-1,-1,330859,559971,-1,-1,-1,-1,-1,-1,-1,-1,702192,-1,-1,-1,-1,436700,-1,-1,897808,-1,284798,-1,-1,658542,954421,-1,850463,-1,766133,951140,854874,289351,-1,111728,-1,812532,-1,686049,-1,809809,473311,265122,-1,-1,633280,482982,176446,132865,-1,645219,321270,-1,240710,-1,-1,615721,880296,-1,934974,-1,-1,-1,979521,888342,860457,-1,-1,213151,-1,-1,-1,-1,405399,-1,-1,-1,-1,-1,-1,-1,-1,-1,352642,-1,646463,-1,-1,-1,-1,212531,263890,-1,-1,84635,-1,-1,5500,566965,-1,-1,-1,-1,718751,937759,-1,-1,-1,-1,718035,-1,620184,-1,608978,-1,958212,897180,-1,67031,351885,560535,-1,892484,567265,922929,175609,-1,169794,495928,-1,-1,-1,939489,242026,668427,895260,465462,615023,-1,-1,165376,245828,644885,195289,250334,752825,589811,298974,-1,-1,-1,248593,-1,-1,-1,-1,-1,-1,-1,-1,745299,310417,-1,842311,477880,907261,-1,-1,500449,586830,-1,-1,-1,-1,53195,-1,-1,-1,844283,-1,91431,-1,-1,49374,158792,186574,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,831166,-1,-1,268281,351096,-1,300718,426186,-1,203922,-1,-1,-1,-1,-1,284628,-1,450063,15469,641097,-1,643025,-1,-1,-1,516074,901728,-1,-1,325898,674909,-1,-1,872250,95180,240159,-1,33249,656994,-1,727200,-1,-1,387027,944196,804898,-1,-1,-1,681705,-1,-1,-1,-1,5261,-1,489365,-1,673295,152772,-1,825557,-1,203064,-1,32635,625913,-1,261059,-1,443767,124360,627283,516827,882764,437907,335585,-1,672159,390330,558061,-1,912650,523504,247856,652255,154873,-1,-1,-1,91844,-1,937681,-1,935563,765188,-1,959882,-1,166662,184962,749641,760691,864624,-1,561737,-1,-1,-1,-1,805250,993007,-1,-1,-1,482446,81115,-1,240208,68667,681229,853184,989908,231644,-1,-1,-1,-1,-1,-1,44207,684750,793142,953837,91877,276983,995330,90639,-1,905197,-1,-1,259554,-1,367709,690527,-1,930312,-1,-1,558582,193577,354870,402260,-1,-1,273927,-1,-1,772859,75272,611167,-1,-1,426419,374690,-1,821953,944553,430169,533638,-1,303536,997447,16263,-1,163570,35131,715098,248083,667008,177201,-1,-1,64637,758048,982689,726711,442870,789761,-1,351191,557701,-1,114976,989132,85565,-1,-1,-1,514943,329081,714575,-1,760517,-1,53603,441085,624192,898492,-1,770767,-1,942199,71979,942342,-1,581103,667698,-1,-1,399688,-1,-1,154754,183010,221313,967614,-1,-1,-1,847502,-1,-1,-1,472021,796486,-1,-1,659794,-1,-1,36628,63575,-1,-1,-1,368145,727732,517910,543307,-1,-1,121547,660611,672255,-1,-1,-1,802961,56240,928216,792528,-1,744000,-1,-1,70216,338063,237941,-1,329843,-1,-1,914468,123552,-1,-1,-1,651452,173128,501287,671991,432141,-1,-1,49233,-1,-1,924139,615284,-1,-1,754941,-1,-1,545901,-1,213382,970763,-1,-1,-1,-1,-1,-1,360262,-1,457635,-1,110197,-1,-1,-1,-1,346284,854913,-1,94359,-1,-1,-1,-1,174587,307705,-1,737742,932325,283192,-1,291196,-1,-1,874637,-1,-1,767410,37114,-1,-1,-1,-1,552190,-1,617737,-1,708462,-1,-1,923670,99282,-1,299653,756791,-1,240319,-1,-1,659307,867502,-1,-1,391269,-1,244186,972755,925269,621588,906793,-1,-1,810714,-1,-1,984715,546410,-1,771155,503696,684697,-1,990010,-1,-1,885492,-1,151656,-1,-1,-1,599670,-1,-1,117532,162273,-1,995046,361191,-1,-1,-1,726351,110697,442852,-1,-1,597061,-1,975443,699200,880675,38031,339846,-1,-1,-1,497605,425325,565965,-1,-1,657898,468221,-1,-1,-1,-1,995527,-1,490926,776460,-1,835305,562339,69032,-1,-1,-1,361013,-1,-1,-1,-1,921765,-1,313633,700390,-1,323308,837621,-1,-1,-1,-1,-1,-1,-1,-1,841714,-1,-1,779810,626438,-1,-1,-1,-1,-1,-1,707255,-1,-1,-1,-1,-1,-1,72652,-1,-1,-1,180960,-1,360783,-1,735736,-1,-1,654117,618580,572910,-1,-1,608730,-1,729474,-1,209361,942546,691743,-1,224053,-1,-1,-1,575136,-1,-1,226858,-1,-1,-1,-1,730256,-1,-1,816625,-1,858593,-1,-1,479637,258461,995018,333267,-1,747867,17255,389470,51713,421808,985399,144368,-1,785120,332312,-1,-1,53582,-1,-1,-1,868821,494625,670616,-1,739985,-1,-1,383520,743545,-1,522964,979897,114298,76150,-1,-1,662286,289081,860277,149787,-1,-1,-1,400942,-1,150946,-1,-1,-1,666271,-1,931208,370553,304286,316066,938993,679586,-1,-1,-1,365593,-1,-1,463661,853896,142572,-1,27826,303763,-1,-1,-1,-1,382483,169638,-1,491530,740136,-1,-1,-1,-1,604364,-1,549757,278268,760672,998548,-1,-1,-1,-1,912369,-1,-1,-1,-1,-1,211603,-1,898087,999683,124166,943344,515859,544966,245993,88369,809940,578187,-1,-1,850995,-1,-1,201486,397311,-1,448919,-1,-1,651943,615993,-1,265449,360748,871329,446511,-1,840748,534058,-1,-1,-1,-1,-1,892200,905743,849547,-1,792157,-1,681776,-1,959833,-1,-1,-1,-1,842711,-1,-1,414785,-1,771796,-1,34942,890818,251902,-1,-1,-1,-1,250327,466894,481951,813023,542742,-1,-1,-1,-1,741072,-1,-1,919037,-1,97506,199954,-1,294819,-1,449865,-1,203471,132747,-1,838824,729875,290180,120989,109911,-1,812727,-1,671557,411330,-1,982678,914810,-1,696729,-1,-1,286883,396037,542004,355094,-1,-1,-1,690825,-1,-1,-1,-1,178753,-1,276646,759298,-1,929693,-1,-1,-1,130309,-1,-1,669994,935798,612616,-1,-1,-1,718735,-1,477332,-1,53404,-1,-1,791455,-1,89566,-1,-1,-1,72136,564630,946200,959622,416454,-1,-1,-1,-1,655358,361173,-1,-1,733569,927694,-1,388935,87890,900356,-1,59921,631615,599959,-1,934593,343322,544262,-1,-1,-1,419117,-1,-1,-1,-1,-1,98227,-1,532774,755086,-1,-1,-1,-1,-1,-1,83038,519485,-1,653960,-1,-1,430821,-1,456069,-1,890390,-1,928173,-1,-1,-1,122461,-1,-1,743318,-1,-1,-1,-1,-1,-1,676737,748971,-1,795130,755801,241922,275240,973081,-1,-1,827440,-1,-1,694165,558618,-1,-1,-1,739683,288725,750153,-1,621943,306801,-1,-1,-1,-1,-1,-1,-1,-1,-1,237966,-1,-1,617622,53248,804919,-1,724508,751062,3109,-1,642274,-1,-1,-1,-1,746977,-1,974290,-1,799041,-1,-1,-1,-1,-1,455971,-1,49044,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,452987,19689,902703,338022,649709,-1,-1,-1,837502,-1,64151,-1,470588,80463,-1,-1,281365,-1,163029,-1,-1,129968,417855,944411,-1,99683,-1,-1,404042,-1,319650,-1,41439,17614,-1,507148,-1,733156,388474,783902,-1,440085,-1,512242,820329,-1,-1,851889,799791,431762,359036,-1,230382,93079,890511,-1,-1,400476,-1,-1,-1,-1,916032,584694,684893,596215,-1,-1,747509,876050,-1,118949,-1,52386,988056,679980,189817,-1,784588,199556,-1,301423,-1,493323,-1,-1,-1,-1,-1,917563,64468,-1,796962,392769,705296,776327,-1,-1,119154,189686,-1,319732,427581,-1,582307,-1,854901,384723,-1,264440,611804,246615,418665,-1,-1,361730,264745,-1,226722,-1,-1,754318,514989,732025,-1,-1,-1,-1,45849,828031,568341,763252,-1,-1,613167,162191,704862,104565,-1,650092,774866,933703,960984,444380,-1,-1,174459,-1,496534,607395,-1,656447,-1,-1,552272,754165,-1,-1,737509,-1,717120,252313,-1,208101,-1,54482,-1,308368,-1,945897,-1,-1,93798,455207,-1,-1,-1,-1,-1,-1,70862,165435,-1,523818,228882,77033,-1,-1,-1,218384,285514,-1,897272,-1,-1,-1,-1,-1,-1,811902,423991,112267,-1,-1,-1,819255,-1,784441,905454,-1,9313,-1,-1,110547,-1,-1,-1,546811,-1,698088,-1,-1,-1,772302,-1,326918,-1,-1,549527,-1,-1,-1,851866,-1,826089,-1,-1,-1,-1,-1,504737,142800,-1,-1,-1,-1,806640,829618,371435,-1,-1,-1,806115,68131,572927,386270,-1,514045,604042,-1,613722,789262,664694,-1,464057,-1,888430,-1,727207,-1,54066,-1,-1,-1,414185,-1,-1,921701,-1,753508,-1,-1,-1,394279,-1,-1,-1,-1,202576,342136,-1,468930,-1,-1,-1,139635,-1,-1,321232,-1,880577,-1,942415,-1,340135,-1,-1,535334,373680,166460,351862,-1,-1,128495,-1,760122,-1,-1,-1,-1,-1,-1,-1,740,-1,865303,-1,229574,-1,576219,309769,921140,171212,54351,558318,-1,-1,-1,-1,915175,860127,626346,-1,-1,-1,-1,250309,-1,640986,-1,482559,224727,440509,125903,395537,-1,214284,585162,504901,-1,677089,-1,44625,440911,24128,-1,-1,215868,-1,-1,883456,234677,994893,-1,-1,319844,176281,914272,566231,31352,-1,-1,933090,-1,-1,174286,963538,-1,16734,-1,-1,-1,277351,981260,-1,975543,-1,-1,987889,400090,-1,-1,996148,-1,682292,952007,168289,-1,976705,-1,-1,-1,-1,633260,-1,891402,90193,723073,-1,-1,-1,696005,-1,5341,526252,283358,-1,470905,763927,898601,-1,945559,726022,756984,-1,-1,315954,163468,-1,-1,899686,766331,680361,233988,-1,477221,-1,-1,-1,287807,729910,47957,-1,324614,35426,412627,-1,-1,933717,-1,853634,99494,-1,529939,-1,-1,-1,-1,715310,17711,-1,435496,904797,-1,-1,-1,-1,-1,200780,-1,890084,212803,828848,-1,559413,-1,986976,510072,504925,98776,837806,-1,-1,-1,913639,-1,190731,975222,-1,450995,125662,673763,-1,-1,-1,743489,64070,-1,-1,-1,38951,310138,-1,-1,703918,-1,716984,842970,-1,-1,-1,603197,473774,41888,-1,-1,641731,-1,-1,139944,-1,172408,-1,289816,-1,-1,648147,529160,131195,394157,-1,-1,-1,468665,418845,-1,-1,-1,-1,650695,772954,-1,412565,-1,808571,623422,384441,308870,685664,-1,-1,925064,-1,414354,-1,-1,-1,-1,-1,885849,-1,-1,-1,374123,555940,-1,651323,-1,665722,826475,-1,616564,476367,-1,689200,-1,-1,949285,-1,-1,-1,198374,384467,-1,297035,-1,-1,-1,968984,-1,-1,-1,-1,-1,264085,-1,168185,564419,-1,-1,53093,-1,802918,844903,-1,-1,-1,897310,428659,-1,470806,-1,-1,361158,588443,902589,66211,137231,-1,-1,46272,455554,694432,-1,865273,422589,92232,82848,-1,-1,769126,-1,-1,-1,565400,619180,-1,-1,-1,-1,-1,715908,-1,78118,-1,981873,135147,-1,-1,784776,-1,522906,-1,-1,711970,477894,404733,286547,530021,-1,620252,346979,-1,941413,704995,-1,873919,230830,-1,725975,-1,882349,692523,-1,-1,-1,199542,519187,-1,-1,-1,-1,645880,484855,218209,423620,684878,485284,-1,-1,914399,-1,580741,500160,-1,-1,-1,940295,-1,-1,-1,167903,-1,-1,487065,900646,-1,978213,140321,489631,578997,-1,-1,-1,431830,116364,-1,-1,51,751158,-1,-1,664845,-1,198531,-1,-1,667508,-1,612024,552569,-1,-1,335411,-1,-1,152771,-1,167639,-1,-1,647751,750663,454134,-1,160127,20440,-1,-1,226007,610256,-1,-1,-1,-1,-1,-1,-1,771165,616293,144014,-1,118099,201014,-1,92330,-1,-1,226659,-1,919348,701577,-1,-1,876789,-1,921415,-1,-1,927247,-1,440183,340005,-1,-1,67010,-1,-1,-1,315301,188609,-1,36465,669606,43419,886091,776897,137440,431174,72133,785289,-1,952718,736915,725657,834259,-1,563021,-1,683569,-1,-1,944858,970167,866610,210120,-1,-1,704773,-1,-1,415380,450885,151547,385454,-1,855080,329795,975916,662820,-1,217802,838026,-1,-1,265655,212362,-1,-1,491744,477135,96583,484066,965085,-1,940770,-1,23328,428730,565246,477599,-1,520382,352843,34198,-1,-1,546632,51776,52860,617887,-1,-1,500786,-1,-1,561853,-1,373838,-1,16345,-1,-1,987015,471466,396119,-1,-1,-1,949268,241586,-1,213723,744424,395351,124679,-1,920767,-1,347398,-1,757034,391438,536653,49816,973736,571839,756592,788189,-1,-1,303830,660276,869568,976256,-1,810139,-1,-1,-1,732887,-1,37023,301320,399604,-1,632240,284683,766773,644526,882072,-1,-1,827427,-1,-1,-1,-1,-1,-1,-1,-1,526201,62708,966177,75346,-1,-1,680481,-1,-1,-1,-1,-1,867987,708590,-1,-1,-1,43595,979271,462167,824501,-1,-1,346356,932660,-1,-1,-1,-1,-1,877798,-1,-1,-1,106186,-1,573196,217676,-1,568671,659972,727087,-1,377809,-1,722802,-1,-1,-1,-1,881745,-1,64755,59392,-1,528236,-1,-1,131569,111043,956603,-1,-1,617033,-1,-1,-1,764579,436283,-1,469444,-1,-1,-1,-1,927450,-1,221039,-1,783143,-1,-1,-1,-1,164217,-1,237917,-1,868309,215486,-1,340942,-1,-1,518024,-1,727054,-1,268162,-1,10268,-1,-1,-1,-1,-1,849679,136588,-1,-1,340401,-1,574340,-1,304517,-1,922731,-1,750784,-1,394672,-1,36832,169361,-1,344699,957313,553067,512278,-1,254559,-1,777677,453149,-1,343687,959004,-1,707275,102791,-1,867388,-1,-1,245950,-1,549785,393272,-1,872511,-1,-1,257514,566982,-1,-1,796050,-1,875539,-1,534188,-1,-1,859771,749526,939884,424246,-1,-1,896223,-1,-1,725232,706901,927380,132385,255275,773857,204912,-1,-1,474292,-1,-1,802957,-1,-1,-1,-1,-1,-1,-1,-1,-1,985253,307806,-1,895653,-1,-1,588415,87061,373811,-1,-1,-1,-1,-1,11,-1,-1,-1,-1,941924,-1,222817,691298,-1,31583,80663,-1,-1,-1,891871,-1,372258,-1,-1,-1,-1,-1,-1,150433,870402,-1,298151,-1,-1,-1,270573,-1,-1,492246,548270,153142,-1,-1,-1,364232,-1,232557,-1,-1,-1,-1,702057,-1,164277,-1,-1,773047,822063,-1,435357,-1,625692,-1,-1,727791,304754,267412,964468,-1,262249,545626,-1,-1,-1,618717,-1,700179,71670,688140,143073,241549,-1,515667,453915,-1,-1,712068,762263,-1,-1,563251,-1,-1,372890,741088,864600,142443,227173,-1,-1,-1,116620,216871,-1,665542,-1,-1,208233,274473,-1,826845,-1,276103,678793,205580,-1,218620,77841,955935,-1,-1,681056,828113,-1,-1,-1,407996,879665,-1,-1,820792,-1,189818,642417,-1,-1,-1,-1,-1,-1,759723,790345,660258,954973,-1,146190,-1,-1,692643,-1,-1,207173,522323,-1,-1,-1,-1,584648,-1,329813,693360,-1,-1,996250,-1,566682,-1,722451,-1,426578,-1,635227,-1,-1,369405,-1,237900,-1,-1,-1,-1,79161,-1,277327,505054,-1,-1,-1,485063,-1,-1,827313,378430,-1,-1,577134,-1,-1,432932,91336,770067,-1,390575,-1,-1,222088,576996,808072,-1,-1,-1,336832,-1,-1,480263,-1,-1,-1,943638,490554,-1,712001,327812,436163,-1,383806,212923,107139,836831,-1,182016,-1,-1,-1,786562,-1,-1,-1,756839,-1,-1,151718,455806,439112,-1,-1,334582,-1,-1,-1,588892,852511,380072,-1,989129,562018,-1,862055,-1,-1,169468,175299,-1,-1,239948,826575,-1,435653,-1,-1,-1,-1,-1,444443,-1,237387,-1,-1,-1,463070,-1,915998,-1,-1,230788,-1,-1,835448,980132,-1,-1,-1,861470,-1,30023,126532,587369,200988,-1,534136,-1,562913,47573,-1,23485,-1,-1,-1,991744,157485,-1,636290,-1,280511,333013,-1,-1,919423,518944,507081,675192,847483,-1,-1,-1,-1,-1,186517,902595,-1,-1,985364,-1,-1,347363,57932,880551,4790,-1,821341,104041,388434,-1,118358,203911,-1,221339,-1,109924,409014,-1,-1,-1,540607,-1,486236,325446,-1,-1,-1,-1,-1,-1,-1,478637,926406,-1,564390,-1,960366,-1,589375,-1,474742,711389,237469,-1,331686,-1,148356,-1,857085,-1,-1,-1,-1,879300,880087,52515,471231,-1,-1,-1,124518,156312,-1,-1,-1,-1,-1,-1,-1,8179,-1,-1,-1,-1,328129,-1,-1,698974,380318,-1,294600,-1,-1,-1,526108,640128,-1,-1,-1,942267,942743,-1,-1,-1,-1,449738,-1,343835,680108,211933,268500,836879,-1,-1,-1,-1,-1,954898,-1,-1,827275,360500,-1,-1,-1,128502,79797,592476,-1,688947,-1,-1,-1,556839,957430,949501,667874,-1,-1,-1,33822,-1,347528,-1,986595,448014,-1,406346,371411,458465,113905,-1,-1,360784,-1,86720,-1,434334,-1,-1,-1,-1,898471,-1,984515,-1,353635,878974,702434,577439,-1,245638,-1,-1,76449,731835,443424,-1,144065,-1,-1,320262,994657,595550,215853,86475,-1,244142,-1,228994,-1,-1,627421,549758,827242,-1,-1,597619,40957,831922,-1,-1,348562,-1,518002,103210,-1,-1,362224,-1,278793,-1,743172,144348,-1,739288,220784,652944,83512,140445,248234,173828,86225,-1,-1,-1,533815,708667,-1,331603,-1,210329,-1,-1,-1,-1,-1,-1,56935,-1,-1,566037,-1,-1,-1,-1,-1,-1,546756,989742,175554,-1,367430,-1,5995,151635,-1,640770,-1,965767,-1,10468,685392,-1,781553,511481,-1,348435,349846,752329,800607,957220,-1,-1,575858,-1,202336,-1,-1,-1,357481,888999,-1,-1,230823,763772,-1,-1,-1,-1,873747,-1,-1,479830,304868,-1,880201,-1,727507,366985,-1,13222,507991,430236,817467,668929,307027,-1,-1,916210,-1,-1,871408,-1,-1,-1,-1,-1,243821,-1,-1,782069,-1,-1,-1,782994,-1,611494,-1,-1,-1,-1,588508,-1,-1,706434,-1,-1,-1,-1,-1,-1,-1,288738,-1,617756,-1,-1,93179,697624,-1,-1,-1,393953,-1,-1,-1,-1,-1,-1,-1,-1,322083,574889,-1,-1,543566,335566,418112,-1,-1,-1,-1,287165,-1,764689,-1,539858,637839,-1,-1,-1,70470,-1,802530,804684,796925,-1,353079,-1,-1,-1,-1,655864,905804,342452,-1,-1,390294,975507,-1,136216,230884,893595,-1,-1,382874,-1,477919,-1,-1,-1,394583,-1,-1,347165,-1,-1,-1,93001,-1,-1,956634,-1,674472,-1,-1,869043,-1,727984,294900,-1,-1,710438,-1,-1,-1,-1,163246,-1,225327,-1,285758,933937,-1,237955,-1,506883,-1,-1,960730,330790,440563,278214,385336,-1,-1,281928,-1,-1,-1,-1,236426,811817,726017,672418,-1,980078,754619,877412,-1,381473,634625,-1,-1,-1,-1,-1,-1,-1,636237,709268,767376,325000,756974,786239,552951,438367,-1,-1,963241,805002,-1,-1,519511,699929,-1,-1,-1,-1,117904,36046,55937,428773,778908,32979,881775,-1,828639,369696,-1,-1,546416,-1,-1,-1,542902,271837,-1,649387,-1,-1,-1,-1,-1,245925,620502,408304,274688,-1,-1,-1,-1,-1,149274,-1,557813,-1,-1,-1,214648,413149,-1,270480,-1,-1,780308,850709,-1,-1,-1,63242,-1,714879,-1,-1,296633,936846,678564,-1,229584,-1,808929,843595,38208,-1,-1,-1,-1,51910,-1,-1,-1,612504,-1,-1,133003,-1,50127,706971,629140,-1,-1,-1,-1,-1,311271,-1,-1,221740,244680,-1,-1,107396,517158,607711,713284,-1,660275,691739,-1,-1,762197,634128,343946,176303,456897,732366,-1,19597,259433,373101,-1,268146,515958,-1,242543,753634,-1,284437,-1,473005,415488,-1,776688,-1,-1,55180,-1,-1,-1,572188,-1,-1,69806,63247,-1,603030,-1,-1,-1,-1,-1,84881,572018,-1,-1,157808,-1,-1,-1,-1,527655,583709,-1,990001,-1,676693,692602,-1,675921,618332,-1,311274,906195,973915,253633,-1,820885,-1,-1,589428,-1,419575,316164,674514,-1,418083,88512,704925,-1,803068,78962,-1,177008,323137,-1,-1,433891,19640,33259,-1,212458,381624,373199,-1,-1,-1,51878,976303,-1,730939,633500,629312,-1,-1,-1,-1,-1,-1,780213,13050,-1,-1,551649,-1,-1,-1,369492,13141,794638,704331,-1,360072,-1,-1,577080,442187,110210,239023,536261,679735,-1,136793,-1,-1,801605,-1,248632,838095,75249,295568,348671,-1,-1,259110,720218,-1,-1,537105,170211,-1,795518,-1,755269,253085,949093,422318,-1,-1,-1,201959,202016,-1,-1,743302,358804,915583,465845,-1,-1,-1,-1,307463,64506,286135,435540,700743,-1,-1,84239,-1,-1,-1,-1,953645,-1,244947,-1,-1,-1,955081,672631,-1,868292,981453,221204,-1,819365,-1,157360,-1,-1,-1,407843,-1,-1,-1,759975,215933,245525,-1,510299,-1,-1,516909,513964,480184,-1,253481,660445,-1,844916,-1,-1,673716,-1,-1,561766,-1,838146,219148,-1,-1,-1,198767,-1,921747,-1,553939,-1,-1,448155,523825,-1,-1,-1,252307,984308,-1,-1,781297,548625,943986,506430,-1,576452,-1,-1,-1,171632,233247,521624,-1,365365,-1,-1,724792,-1,247019,-1,535528,96202,-1,-1,-1,-1,-1,-1,-1,668182,833031,-1,203111,-1,287826,-1,43956,-1,-1,823514,414336,-1,1603,-1,-1,-1,477050,598004,333165,571433,607086,-1,111,824416,-1,111148,-1,-1,-1,366143,-1,145094,-1,-1,-1,-1,273965,624836,928612,422686,-1,944689,618930,-1,-1,-1,-1,-1,-1,395315,-1,-1,-1,962360,523850,91819,275682,845066,-1,-1,165102,206653,898360,-1,554825,507278,700795,430498,667531,-1,-1,-1,-1,19821,-1,513311,186542,-1,-1,531044,483436,-1,-1,-1,163529,-1,-1,-1,869849,918933,-1,473036,843670,-1,-1,761779,127156,-1,-1,978517,-1,-1,642361,646071,129491,690529,-1,-1,-1,-1,-1,949031,-1,-1,167297,-1,-1,665247,621415,-1,-1,82119,-1,-1,731614,-1,90253,-1,278720,-1,897704,193523,-1,36366,138876,-1,-1,-1,-1,202037,-1,-1,489497,290362,409640,-1,-1,-1,822553,316527,32775,-1,429589,878232,-1,-1,440837,890415,461430,-1,-1,931821,237027,-1,-1,-1,851638,-1,330362,-1,-1,229615,-1,546206,673043,162135,-1,-1,696912,-1,-1,-1,-1,-1,487915,170296,475219,-1,684662,510492,-1,-1,4707,589912,158182,-1,50067,505259,467127,-1,278370,-1,428798,-1,-1,388164,-1,-1,-1,465966,605291,680500,937416,-1,848769,601908,-1,-1,-1,65953,13182,586326,479703,440987,-1,-1,102738,764465,835840,-1,-1,-1,-1,931392,47119,665465,-1,-1,790214,928938,-1,92955,-1,-1,847710,-1,-1,-1,-1,-1,-1,-1,319830,-1,-1,-1,-1,-1,270607,498859,-1,-1,766739,-1,405696,-1,-1,282438,912391,-1,747740,66017,474246,-1,455519,258757,-1,858574,-1,-1,590580,279348,-1,947847,-1,-1,-1,614819,579893,-1,896273,-1,-1,758381,395195,18628,179092,-1,884711,-1,-1,569975,-1,96013,599546,934740,926114,376144,276311,652048,-1,-1,388190,-1,-1,519727,-1,-1,-1,-1,-1,983387,-1,68072,-1,739509,644159,-1,918692,-1,15883,326001,13279,-1,246392,-1,-1,957386,168615,427285,431870,805127,953008,723746,-1,-1,687823,486291,367896,444105,750108,-1,593943,369223,-1,88286,950764,734300,-1,-1,545036,433489,837017,-1,-1,545566,-1,59374,57843,-1,-1,23358,977618,-1,-1,31127,272191,899815,254339,763150,367241,-1,-1,-1,-1,-1,-1,109678,641893,133092,-1,-1,-1,493464,-1,-1,-1,-1,148557,-1,-1,-1,496840,100346,500494,-1,-1,150284,-1,562995,-1,-1,771516,-1,-1,-1,481507,-1,-1,-1,683909,-1,427847,-1,-1,-1,541687,-1,-1,-1,899526,270291,-1,505214,-1,674703,-1,55720,-1,-1,-1,-1,377831,453140,68074,-1,137574,894204,961487,-1,501644,947303,324413,656052,654866,587898,470192,707334,931560,528601,-1,-1,181886,-1,-1,-1,58997,650225,-1,-1,-1,57470,63308,-1,-1,813586,965661,974129,-1,-1,311829,456758,752707,430818,-1,929823,-1,-1,-1,-1,59933,262560,833207,-1,-1,-1,-1,306057,-1,317091,-1,-1,46519,-1,-1,-1,603072,-1,45480,-1,365628,936295,-1,438236,-1,906996,897481,331851,568843,641723,439252,22046,-1,-1,405160,496685,-1,466666,870306,573865,-1,-1,180360,-1,503002,-1,-1,336907,-1,732031,635819,-1,15890,500519,124899,-1,-1,370557,-1,-1,-1,-1,299070,-1,-1,-1,718110,905741,84877,-1,-1,909241,644785,-1,34056,-1,497436,116167,611082,253065,-1,-1,-1,475247,-1,-1,-1,-1,-1,-1,148001,-1,-1,433984,-1,57717,513297,-1,-1,-1,326434,-1,-1,-1,-1,815714,-1,-1,-1,843921,-1,611477,-1,-1,265127,562208,-1,-1,-1,-1,674753,-1,-1,-1,646668,-1,244997,-1,-1,910476,-1,-1,-1,155619,-1,-1,-1,-1,734134,522492,383330,744983,-1,-1,635625,753277,-1,-1,-1,-1,371213,-1,-1,669300,706965,400405,-1,603884,-1,-1,795729,128278,-1,-1,-1,-1,-1,155571,-1,-1,50018,-1,-1,459280,-1,43581,586667,-1,-1,141582,-1,-1,-1,147224,-1,813085,-1,-1,5072,329252,596598,701698,-1,-1,-1,-1,910902,-1,-1,765765,89308,589540,-1,591744,-1,-1,-1,418111,-1,-1,905955,864223,464487,508324,869699,-1,-1,-1,-1,-1,-1,452713,416703,-1,104273,689994,-1,-1,540245,-1,-1,248735,468705,832662,-1,-1,938371,-1,-1,782558,-1,-1,-1,-1,-1,-1,728672,750314,847875,777168,-1,258331,533813,589191,961335,16262,-1,-1,-1,-1,767074,-1,-1,461677,-1,-1,-1,416742,-1,-1,372257,-1,115162,-1,355850,471950,-1,-1,-1,-1,-1,141632,709542,306469,730736,769123,366263,-1,-1,-1,-1,-1,969494,334723,-1,-1,-1,973600,-1,269939,373592,-1,732442,438116,-1,690137,-1,324744,-1,-1,979520,-1,584562,434677,677922,-1,960511,-1,106927,-1,986624,216401,735481,-1,610271,163360,-1,894795,883010,454507,-1,-1,292793,373037,146094,-1,-1,-1,-1,-1,-1,709745,131932,-1,443190,56682,295890,-1,-1,-1,-1,-1,-1,168331,325540,-1,-1,-1,-1,290784,827394,-1,268373,-1,-1,239425,-1,386377,996442,-1,492584,870868,-1,-1,104422,-1,826720,-1,884476,763451,40860,-1,-1,-1,839184,-1,409202,-1,-1,-1,73587,-1,-1,677535,303245,-1,669558,-1,-1,-1,379173,826548,-1,454522,-1,635715,-1,-1,-1,841836,282911,944389,-1,730260,222931,317992,307453,-1,-1,-1,786850,332988,358534,107513,-1,-1,761763,89957,-1,718504,-1,-1,439187,-1,-1,-1,417799,-1,-1,896627,246399,108441,-1,-1,587142,716095,-1,175331,-1,-1,-1,923514,-1,-1,889441,-1,949934,560110,-1,344443,-1,-1,108983,-1,-1,-1,177992,-1,371353,-1,-1,-1,7874,391452,-1,558386,715545,-1,6698,-1,24040,806682,-1,-1,-1,789666,-1,378513,-1,-1,-1,-1,-1,-1,-1,768791,-1,-1,-1,61468,-1,-1,-1,-1,-1,-1,-1,800038,-1,-1,-1,744658,193738,528552,701684,-1,-1,45261,-1,999450,755015,587126,-1,-1,774031,819329,701799,-1,-1,880706,934637,-1,684001,266638,-1,-1,373652,-1,783791,-1,292632,337668,603882,864430,467370,37710,888267,858307,983521,817761,216280,-1,798800,563033,-1,-1,-1,-1,757305,-1,-1,-1,476366,-1,268967,-1,395560,683401,-1,-1,-1,-1,794394,345324,742828,-1,373900,-1,-1,-1,-1,548361,50481,-1,-1,245712,-1,656392,-1,-1,813806,619150,476079,-1,729341,-1,-1,-1,801690,-1,756901,435087,728594,903088,-1,378835,477033,505291,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,233840,-1,873200,965496,-1,470669,-1,-1,419438,901045,-1,-1,945898,-1,-1,537800,351521,-1,401658,275442,-1,912599,522506,-1,-1,-1,-1,-1,-1,-1,526838,-1,-1,556784,-1,935488,899555,174186,321010,-1,174682,-1,19898,-1,136938,484690,-1,-1,-1,-1,-1,-1,778320,-1,-1,624851,-1,983019,-1,427173,-1,417852,-1,-1,-1,-1,637076,-1,881361,900157,602613,226055,-1,220988,350596,-1,689754,-1,-1,49523,413023,-1,-1,-1,-1,-1,-1,-1,429532,-1,-1,-1,-1,-1,26553,-1,-1,42717,-1,-1,216202,742169,-1,27900,-1,-1,78936,238819,-1,-1,4977,-1,12996,333350,114593,-1,-1,-1,-1,819413,-1,906627,-1,274311,336716,-1,344739,559745,-1,-1,578511,192043,-1,-1,-1,579975,-1,34481,358719,490102,-1,711760,-1,-1,-1,-1,582616,494817,-1,-1,-1,362557,-1,319190,944555,-1,616990,752289,497529,740660,-1,710513,303855,609322,-1,-1,242044,272573,-1,-1,-1,705504,-1,-1,-1,-1,450960,987670,-1,456450,538086,-1,-1,694739,907716,-1,106486,-1,-1,-1,78882,42897,-1,522461,995328,956187,-1,-1,89617,-1,752662,407627,-1,-1,-1,184055,-1,58604,792549,-1,523805,-1,-1,464688,752414,330039,522182,-1,337421,667396,593248,194490,311555,492630,685029,927339,48091,-1,-1,228344,-1,-1,494626,-1,519452,108643,854926,21088,-1,-1,904746,-1,-1,271979,745858,-1,-1,91070,-1,-1,-1,-1,-1,-1,690499,155198,126209,-1,348852,201391,-1,65070,408958,-1,-1,129022,676694,-1,-1,-1,-1,-1,201106,72962,890528,-1,-1,-1,-1,-1,54323,-1,603404,-1,191504,46796,-1,658487,455915,-1,178168,178179,209355,-1,-1,806845,451375,746180,404988,-1,-1,74816,886405,-1,-1,718395,-1,895816,834255,416627,-1,780939,298261,-1,231667,-1,261614,73794,972079,959056,944112,-1,-1,436516,-1,618112,339117,-1,385516,-1,793942,486659,-1,-1,-1,548727,-1,754085,-1,-1,41982,-1,130081,-1,231648,-1,897917,-1,75462,-1,71253,190083,-1,312289,684041,595589,-1,885542,110454,-1,97491,570716,682568,-1,312019,199488,40220,336411,590564,-1,61881,918339,-1,318967,-1,-1,-1,446649,344797,852767,-1,-1,-1,346524,906921,711592,-1,149578,-1,-1,610877,276610,-1,-1,27413,767506,453690,392900,-1,586389,-1,930946,-1,-1,854093,910903,475982,-1,-1,-1,428424,-1,672294,962426,-1,-1,-1,870218,-1,-1,760658,928665,348382,820419,-1,611030,-1,160338,244293,10263,157703,997881,-1,45979,421862,670337,497983,333412,-1,741907,-1,710254,-1,500822,-1,-1,171833,825395,62321,-1,-1,-1,18783,840197,191337,181604,-1,575394,-1,741180,-1,-1,25756,-1,999873,-1,393601,166142,421431,-1,648971,905399,409275,-1,55538,-1,259800,972797,590326,426691,-1,982624,839132,-1,-1,-1,-1,383861,636313,-1,-1,-1,5671,716273,-1,389810,29163,624535,320845,689145,-1,725416,693954,-1,579213,717828,964336,-1,729409,-1,-1,-1,-1,766654,-1,-1,952440,-1,835074,635382,-1,-1,892101,428783,-1,648080,-1,-1,-1,559263,-1,-1,184497,417004,594108,-1,-1,-1,838914,419422,212349,880583,-1,822034,-1,-1,210821,-1,905109,643276,947301,984959,-1,814164,-1,-1,771825,-1,-1,-1,-1,511009,-1,522497,267367,975043,-1,517968,251859,166095,-1,929056,89431,722004,667285,815896,-1,-1,-1,782186,647841,140056,-1,-1,77617,602901,459648,648281,542703,580144,-1,-1,-1,377666,39000,13267,-1,-1,-1,-1,-1,-1,438691,202559,-1,543940,-1,-1,-1,497247,646472,655485,-1,121824,616986,374094,-1,99065,-1,16992,895889,889392,226537,467514,147199,506591,994263,420825,38077,-1,963833,673916,749594,599058,-1,-1,914274,469269,926450,-1,-1,-1,945512,357421,946063,393840,-1,738528,-1,568713,-1,-1,-1,-1,-1,475793,-1,822029,444750,-1,834478,-1,540004,-1,-1,508622,622798,779503,-1,-1,374763,801941,-1,682914,-1,16361,451533,491728,-1,550527,-1,895058,200742,-1,-1,-1,700880,-1,-1,38899,337862,-1,409913,-1,-1,-1,-1,-1,252474,926508,165856,-1,851585,766292,983423,64634,796399,935955,926313,-1,876897,638098,62889,132,877856,175443,1614,851072,181241,-1,-1,239385,914625,-1,-1,-1,-1,867430,-1,781014,67561,309255,281018,354969,-1,-1,-1,44036,133594,-1,-1,-1,174296,364946,-1,520993,364765,643954,-1,-1,-1,-1,-1,496332,234826,16274,565366,86752,505012,781525,-1,-1,901956,-1,-1,79434,927992,887430,752250,-1,-1,-1,-1,936407,586555,-1,563777,-1,13583,-1,71046,-1,-1,384501,228202,776544,-1,-1,-1,-1,638854,359086,-1,-1,-1,749464,485583,42890,159434,-1,464323,841869,-1,-1,294534,727212,-1,11924,-1,-1,887017,90919,-1,899485,141099,-1,-1,-1,-1,-1,51103,142788,260230,-1,-1,565631,728489,334945,-1,788010,-1,613929,-1,35242,834606,985458,474661,601674,-1,157093,-1,-1,503304,13053,912578,-1,225254,791790,-1,492459,50874,728825,251744,-1,-1,-1,379522,-1,392523,338295,-1,18214,781571,-1,-1,779646,335051,192923,980799,556119,-1,617710,-1,91039,682154,161334,-1,-1,882974,623016,727549,-1,-1,-1,-1,-1,633686,982669,-1,-1,460668,-1,202562,-1,296544,-1,270931,380767,81787,70667,76526,729081,69298,-1,344107,751866,13314,624709,-1,-1,884705,-1,780359,712393,-1,-1,-1,-1,959164,-1,815504,-1,-1,780336,-1,-1,564521,-1,-1,-1,-1,751187,964280,-1,-1,434351,408120,719574,560070,618369,-1,219356,534689,38050,967486,-1,-1,-1,-1,-1,586321,-1,-1,-1,953897,844178,484671,589858,-1,450569,347764,26719,820893,-1,-1,610521,860040,55639,977287,-1,206265,-1,630703,217454,689804,970135,-1,73501,-1,977104,565884,-1,-1,114523,665837,-1,875222,-1,-1,952602,539295,760617,460949,691497,909707,-1,450956,966077,727906,627174,158158,-1,381819,-1,-1,-1,180703,85634,-1,446930,83,660605,721388,915424,658231,-1,-1,127558,487465,-1,-1,-1,-1,330509,339783,-1,561692,771670,941789,491482,-1,106932,577521,-1,-1,376849,-1,474079,-1,53692,421814,-1,-1,176683,58801,-1,529820,654440,602051,-1,-1,202136,-1,181696,447958,-1,270799,-1,823028,-1,279190,-1,91205,119618,310245,-1,-1,828234,-1,894101,182456,-1,334537,-1,812179,910911,-1,-1,406063,729265,-1,28608,737595,595596,-1,-1,-1,-1,-1,898702,473925,-1,-1,355456,481231,-1,-1,-1,200938,927032,-1,-1,-1,651208,313071,770460,-1,-1,861686,-1,-1,-1,15742,-1,562716,481006,751186,-1,597683,809165,-1,-1,534725,-1,-1,858558,565455,508904,435499,520611,-1,65664,597010,357441,761210,172582,-1,72505,159187,-1,751576,440706,-1,-1,-1,-1,680163,-1,226447,277099,-1,-1,151622,-1,864132,-1,178653,43202,303646,34578,569772,101491,-1,457080,769399,-1,-1,-1,338895,-1,-1,64629,422813,-1,-1,-1,612970,260458,-1,722638,544238,368434,-1,157318,466003,-1,-1,259473,-1,757432,-1,655756,-1,-1,-1,826068,616644,-1,-1,-1,-1,984069,919109,-1,-1,854823,672331,-1,893329,-1,817384,952741,244463,44481,-1,293659,-1,705225,-1,584111,-1,-1,570301,-1,378536,-1,-1,-1,-1,980003,754957,31902,17899,-1,278835,-1,-1,23380,85820,678425,908869,412172,178217,-1,-1,-1,962022,70063,-1,479927,-1,-1,-1,919873,469550,-1,778092,-1,332318,-1,514487,-1,500351,-1,997744,17342,970536,-1,938494,706532,-1,26531,334029,778669,475686,201688,-1,-1,571022,-1,-1,947796,-1,-1,157009,-1,-1,368616,-1,-1,135197,-1,411838,534847,-1,851861,92034,681251,-1,548564,565048,474585,71463,380546,-1,860799,596323,-1,439289,-1,22936,732777,-1,-1,603918,-1,-1,403122,-1,244499,698316,939244,84483,-1,990172,552095,-1,-1,-1,-1,-1,343143,364902,870175,-1,23093,-1,-1,-1,-1,863495,-1,-1,713845,285113,220424,-1,-1,-1,862991,108040,-1,-1,-1,-1,-1,862428,-1,-1,-1,307566,-1,797647,497483,-1,-1,437482,-1,594001,240337,-1,297108,-1,219825,386301,-1,-1,710797,-1,151464,-1,-1,-1,-1,-1,-1,8927,-1,-1,343563,-1,674844,-1,-1,-1,-1,676438,-1,991365,-1,-1,-1,430705,818677,-1,-1,-1,-1,-1,757421,46676,616750,790573,-1,-1,-1,828980,-1,-1,-1,75676,816099,-1,-1,249816,726860,-1,956998,689024,298246,-1,-1,295821,-1,-1,987038,-1,-1,212800,484699,-1,-1,-1,-1,553375,-1,-1,223095,709246,8424,-1,351896,300772,254990,-1,76362,806184,51494,-1,849541,425115,584417,404617,998736,-1,-1,955911,408836,-1,-1,577491,-1,-1,165107,-1,918830,-1,-1,754849,661215,-1,-1,-1,717390,-1,329226,75982,795836,491925,377771,-1,-1,608404,183864,432153,-1,-1,-1,347712,599095,51167,-1,-1,971992,-1,-1,-1,-1,667199,-1,-1,90703,101667,-1,-1,-1,-1,278283,-1,887836,-1,408849,-1,760491,-1,154014,538972,75484,249585,-1,130738,733198,-1,-1,38924,874866,-1,-1,-1,-1,-1,403017,-1,-1,-1,77578,298710,706848,-1,718542,-1,611803,385687,-1,-1,819442,-1,-1,539674,908550,-1,-1,97989,600982,-1,-1,71370,-1,-1,334017,923932,-1,366106,-1,158800,374370,978528,-1,819191,408724,-1,-1,776421,987503,-1,-1,138098,-1,649694,787164,-1,-1,736088,263136,-1,771893,-1,-1,287654,-1,72781,-1,-1,893896,857977,-1,445554,973855,-1,718219,867969,-1,-1,-1,-1,614825,430,246061,606951,-1,-1,792176,362012,141867,-1,-1,160995,765326,106919,210626,-1,-1,-1,-1,44863,-1,-1,-1,-1,356128,-1,-1,335227,763664,-1,-1,-1,-1,-1,885473,-1,-1,20450,822101,6701,157085,-1,984048,724189,-1,493004,956957,-1,717677,214503,-1,-1,978226,-1,922606,539014,956966,273583,145737,913671,-1,-1,-1,-1,-1,-1,206652,-1,-1,745185,-1,977192,785598,-1,-1,-1,-1,-1,-1,121616,541804,317614,456364,881178,-1,239991,790519,-1,-1,382816,-1,-1,526805,741474,151868,595755,575992,664061,-1,910678,-1,960662,204628,961914,841763,677024,143659,182010,-1,-1,-1,-1,88779,-1,-1,-1,452700,493846,-1,-1,-1,-1,-1,423071,-1,-1,-1,341278,2926,-1,96388,89784,-1,-1,843969,731748,980694,821674,759096,-1,312623,-1,-1,-1,748645,783440,896495,715047,245264,-1,312810,409876,789333,-1,946863,-1,439956,172919,-1,54985,-1,-1,-1,401422,175835,-1,592502,766339,589444,732832,-1,-1,525377,-1,253608,-1,-1,-1,350038,994890,-1,-1,-1,-1,-1,287074,343871,-1,-1,389646,-1,213429,-1,-1,95708,613363,-1,-1,859800,328651,111928,-1,-1,-1,303276,-1,483744,-1,-1,157081,183766,-1,-1,88314,851217,-1,878553,819938,-1,3906,-1,131158,233283,283044,90617,822256,-1,-1,388892,437241,-1,524162,840509,-1,853843,-1,205847,352263,674694,-1,-1,912131,-1,-1,-1,-1,867507,580922,-1,-1,873316,303608,-1,-1,-1,-1,89775,172032,103085,-1,994906,-1,-1,-1,-1,707069,164796,-1,428786,39488,187008,374833,758722,790090,-1,287155,-1,-1,875675,350162,444757,-1,-1,163794,208907,660842,958951,348721,-1,-1,857957,983656,506552,-1,-1,984170,-1,-1,-1,194298,618315,-1,-1,-1,39660,538250,424093,-1,293340,-1,834375,-1,720508,-1,611937,347205,-1,527801,880113,225550,726388,-1,85338,-1,666078,-1,-1,322249,-1,774980,-1,156004,768065,38903,616656,-1,-1,623944,436314,-1,-1,-1,704733,189926,960044,-1,-1,-1,638897,116504,-1,-1,52580,413085,-1,-1,606467,733592,-1,313004,-1,-1,-1,-1,990460,124273,-1,693852,-1,667934,-1,-1,-1,-1,-1,805179,-1,941280,39318,300347,192205,973989,110272,968525,95310,941506,-1,710609,-1,-1,-1,-1,-1,-1,-1,-1,-1,219796,-1,-1,-1,-1,825154,-1,-1,424794,-1,-1,840147,-1,-1,-1,-1,-1,-1,-1,-1,547944,223710,-1,539697,312779,102554,547915,26493,799301,-1,-1,-1,316978,15832,828391,-1,-1,670937,-1,580223,557056,553309,637230,2271,-1,863637,423906,484013,930694,-1,490419,-1,-1,-1,95639,-1,998025,869128,833188,-1,-1,-1,952041,134004,636726,-1,-1,-1,237602,-1,-1,92277,-1,-1,-1,-1,898277,422912,-1,-1,-1,981046,572384,806979,-1,-1,998400,477766,147672,237877,781376,632566,-1,-1,-1,759131,985691,-1,620866,604524,773809,-1,-1,-1,547649,-1,113299,-1,116394,89387,-1,180340,557120,-1,716356,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,931111,-1,530584,-1,-1,37327,-1,380868,-1,-1,535486,-1,892296,-1,563625,570912,-1,515823,-1,15719,-1,-1,-1,-1,593925,-1,-1,-1,-1,-1,567885,-1,812006,88895,-1,778994,-1,463778,-1,730747,-1,853764,437610,405293,322786,-1,-1,854481,-1,979500,-1,-1,367059,-1,171374,-1,-1,-1,770665,802014,741472,566491,-1,-1,-1,898851,-1,349819,502464,607636,514491,888197,-1,844301,204691,-1,-1,538158,479590,187729,94434,318003,-1,455848,966804,432820,-1,-1,-1,-1,-1,-1,637573,229760,-1,146745,-1,-1,53610,-1,-1,-1,418700,-1,-1,911519,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,478262,-1,-1,606,259686,746887,185111,194828,200046,-1,-1,593976,-1,742971,800156,-1,-1,498513,-1,-1,-1,-1,-1,-1,916353,247562,-1,859517,417480,-1,24756,703550,34049,305936,401783,20879,-1,476411,-1,-1,387049,-1,984733,-1,-1,-1,599847,-1,439183,-1,895046,425405,-1,-1,-1,997471,-1,-1,-1,-1,790620,-1,838432,-1,-1,744840,-1,597672,-1,-1,-1,-1,-1,971989,-1,-1,-1,-1,-1,211866,-1,-1,-1,-1,357634,111180,-1,-1,-1,-1,610766,-1,-1,879249,-1,745063,-1,872937,531708,-1,-1,-1,-1,930588,-1,-1,-1,-1,-1,313625,-1,82259,-1,649884,694360,793332,-1,279316,-1,-1,-1,-1,215531,-1,488635,-1,-1,-1,210635,519640,538648,689421,64849,-1,-1,674047,-1,711429,-1,916571,-1,176817,552249,-1,-1,-1,-1,-1,-1,-1,-1,759159,157499,822872,-1,655408,-1,421440,-1,-1,-1,-1,311877,-1,454728,-1,843080,-1,-1,-1,703227,430341,-1,330319,-1,723846,54104,-1,-1,986597,331417,548032,208655,-1,64191,619730,-1,-1,-1,-1,-1,-1,495129,604916,-1,-1,619850,735141,-1,-1,-1,181431,70269,-1,758973,-1,782695,783210,140571,-1,728984,616154,-1,744432,611165,-1,610806,-1,-1,-1,746225,435477,793218,635768,-1,526382,-1,-1,739159,-1,228265,142778,40524,-1,-1,236984,876981,-1,-1,-1,509848,-1,-1,-1,-1,-1,346862,575572,224384,-1,706627,406945,-1,560170,642841,443640,42693,-1,-1,194593,497292,532765,-1,939208,116728,249283,-1,385643,-1,-1,786948,-1,322639,-1,268173,-1,-1,492510,-1,-1,943425,82087,886616,-1,-1,-1,435870,-1,-1,206692,874439,-1,-1,888889,973775,223438,219499,-1,-1,326876,417666,-1,-1,685748,767870,760822,-1,-1,883755,437231,716282,-1,-1,-1,476404,-1,76109,-1,-1,832784,44169,971083,-1,641224,-1,310484,510651,-1,-1,589942,854305,874967,223792,-1,755595,473821,338776,868559,-1,-1,42590,-1,359085,711699,42160,176648,-1,-1,458231,-1,679213,-1,-1,675788,640516,-1,489754,386076,461976,657182,357420,-1,-1,-1,-1,893235,-1,-1,391230,155467,457824,-1,398073,-1,-1,436661,-1,-1,196092,-1,912565,-1,-1,-1,-1,753122,382847,125042,561606,151710,676061,725970,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,181578,-1,666243,762311,59686,-1,948096,293037,391750,421633,-1,-1,97480,-1,306532,-1,-1,-1,-1,352774,641195,99687,933593,-1,-1,774414,754103,-1,-1,-1,90604,739338,-1,884954,-1,481568,417485,81470,525202,563098,900675,944348,-1,-1,748226,279863,857618,-1,579162,-1,-1,327954,864195,287583,589583,734465,467456,972610,-1,-1,-1,-1,-1,-1,587472,370787,-1,-1,995411,931899,50030,-1,-1,677029,-1,584968,-1,-1,-1,479498,-1,187003,-1,665474,784061,-1,-1,557173,866109,-1,52943,-1,549554,-1,-1,-1,461420,-1,454374,439163,99,545804,-1,195446,-1,-1,291930,522629,-1,-1,-1,-1,-1,519901,-1,593626,44654,-1,395466,951201,237105,584001,-1,37602,-1,579262,675817,-1,724676,-1,774612,604130,274474,-1,-1,-1,-1,-1,154105,-1,94626,832243,773102,-1,-1,850153,597228,-1,-1,746964,-1,-1,-1,799180,833632,253472,-1,635827,587765,-1,154853,564352,-1,-1,739510,-1,318253,-1,-1,450318,600284,911171,613616,301058,-1,-1,485237,-1,-1,261862,915161,-1,524374,284981,240796,-1,-1,497178,-1,-1,871036,621972,480068,-1,-1,-1,-1,134459,355323,-1,-1,-1,266745,-1,-1,121181,219366,872653,-1,40776,996841,-1,994976,-1,690911,-1,541525,969958,473378,645475,971209,-1,-1,724646,871509,20227,-1,-1,-1,-1,-1,-1,653177,482705,-1,-1,-1,-1,-1,47923,352663,10944,461448,-1,793597,134843,-1,-1,-1,359253,894278,134968,-1,548236,-1,-1,-1,-1,133502,-1,-1,614396,-1,689371,979510,241327,405706,76041,160022,-1,-1,-1,72589,-1,852601,-1,571598,243851,801527,-1,52905,892174,798658,218567,901080,-1,-1,-1,-1,504432,823689,300868,174825,669638,399483,195142,226437,-1,-1,546074,-1,643356,71070,178329,261868,571431,982716,43338,-1,-1,-1,538914,28811,-1,-1,-1,-1,-1,-1,863156,-1,-1,180139,-1,-1,850509,-1,-1,900360,87396,112441,-1,-1,-1,-1,-1,-1,-1,-1,417569,-1,-1,-1,467258,332474,-1,199254,604189,-1,982465,856912,858421,861894,890214,-1,444489,-1,-1,486818,787915,194687,224567,548050,496307,-1,1876,31178,-1,790804,-1,-1,261085,-1,849739,-1,-1,871242,-1,-1,687885,404561,-1,285338,-1,768568,803976,-1,-1,878673,213180,875019,166870,762059,541266,-1,-1,349443,-1,-1,356074,613261,-1,-1,780601,241132,-1,430295,-1,822241,9255,232715,-1,-1,91412,-1,507499,58500,-1,-1,-1,211580,996701,-1,750585,177472,-1,894886,-1,-1,102438,-1,154222,-1,889880,-1,158938,667788,202327,-1,579639,-1,-1,627944,-1,585527,435799,745964,-1,-1,-1,-1,29865,-1,507585,323843,-1,-1,768541,508967,133,-1,166726,852579,860901,-1,995410,-1,-1,470980,651914,375192,-1,267824,-1,402354,359567,207452,719804,78087,-1,218568,572569,259691,674843,563662,-1,147419,441425,776944,-1,468935,338583,-1,158043,864103,-1,519704,-1,339507,-1,559877,139046,751368,506211,-1,436195,895558,824302,755115,219057,-1,-1,-1,195179,-1,693715,403382,-1,-1,-1,105660,555064,-1,-1,837387,-1,-1,320264,573545,-1,243657,667655,803473,468188,-1,51380,-1,393056,-1,215910,-1,-1,-1,562228,-1,824408,286003,133629,160216,-1,681117,-1,-1,-1,136498,-1,-1,-1,-1,-1,663623,486005,-1,-1,-1,-1,631026,613976,-1,915399,886698,-1,917478,982124,-1,546329,-1,753742,935453,-1,-1,687125,-1,778107,149638,-1,296947,589498,806604,-1,357491,-1,-1,-1,59138,634599,653954,-1,457141,545001,-1,71402,669005,-1,532718,-1,709387,-1,-1,896917,-1,16539,234196,47368,-1,123655,524814,-1,-1,-1,-1,989543,866191,465688,556057,153767,757667,-1,-1,-1,-1,-1,-1,-1,192801,350925,857748,237899,-1,317324,-1,-1,-1,-1,-1,615077,-1,-1,-1,191524,-1,-1,51914,-1,47207,144775,-1,-1,814538,619456,703829,657735,-1,41002,-1,638903,218854,-1,-1,-1,-1,319689,-1,-1,-1,-1,-1,244024,-1,-1,-1,-1,-1,854585,380647,-1,880089,101334,-1,-1,-1,-1,-1,196618,-1,255307,745180,-1,899580,-1,235700,218691,737534,-1,-1,-1,485851,-1,-1,978262,-1,-1,846351,793170,549482,-1,-1,896972,-1,-1,168600,905024,-1,140956,-1,-1,-1,38926,-1,-1,-1,-1,-1,-1,745261,97252,269725,178039,717691,196268,338785,-1,-1,749329,-1,-1,5160,-1,-1,950447,-1,399207,499727,-1,4842,985389,197400,358923,-1,-1,-1,412437,432809,578568,-1,149582,903215,212068,-1,185083,229522,970048,-1,497672,591236,144411,-1,501238,-1,-1,-1,436368,579462,-1,223788,-1,-1,642715,-1,-1,-1,-1,574559,496987,-1,-1,-1,-1,-1,676351,676913,989330,40876,3832,-1,913353,-1,-1,499751,-1,646795,-1,44509,994608,831149,515236,74728,-1,-1,-1,345918,-1,388173,60376,912463,-1,210937,854136,-1,627910,-1,-1,466701,-1,194388,-1,-1,-1,-1,30033,-1,-1,-1,-1,-1,773542,-1,-1,588784,-1,803015,-1,143761,-1,947718,-1,-1,457612,-1,-1,237929,-1,74330,965651,158785,781873,-1,778568,-1,770885,81684,407754,-1,814666,-1,904321,704993,-1,-1,-1,132366,170500,802723,111856,-1,956749,-1,104628,989338,26814,-1,914333,139302,-1,93763,-1,-1,699965,4628,21275,-1,-1,218236,249568,375464,-1,-1,-1,-1,208161,318640,-1,454339,-1,-1,-1,274055,552301,136432,316327,-1,-1,34764,-1,-1,391220,-1,-1,-1,343287,927651,92884,68079,-1,348976,651676,-1,-1,258680,-1,-1,-1,-1,752320,-1,-1,-1,-1,955891,-1,593013,695267,-1,-1,928976,340384,856483,801249,450529,22645,111937,-1,249979,756599,818654,-1,-1,2734,-1,-1,-1,-1,-1,278163,-1,-1,105931,-1,-1,667374,-1,962982,595403,-1,-1,-1,-1,851113,-1,314555,656705,910976,457164,-1,711858,-1,-1,-1,-1,-1,661473,-1,585917,-1,-1,-1,195922,687661,429290,-1,-1,-1,679881,234096,-1,54597,-1,-1,594747,-1,460854,-1,-1,241942,904967,442609,686510,-1,-1,-1,-1,-1,-1,227052,207327,490979,-1,-1,67168,-1,-1,305232,501853,29123,-1,72149,414578,-1,-1,639633,605228,-1,380591,-1,205276,675953,432942,-1,-1,69984,-1,577547,451738,468556,-1,141141,789288,-1,-1,-1,846803,108083,-1,580270,-1,-1,29220,44489,937547,189118,-1,242160,110388,-1,499010,-1,-1,718539,-1,-1,551420,-1,380874,716094,965956,-1,-1,206803,-1,-1,-1,-1,769125,891578,-1,126614,168899,238103,-1,-1,-1,-1,-1,-1,890396,600976,657360,720862,532870,-1,-1,679604,-1,958435,-1,169546,-1,-1,888649,985244,-1,-1,154812,-1,447534,531167,1740,-1,-1,414205,49538,482941,-1,416780,521867,-1,904344,527644,-1,860706,-1,178126,442161,-1,-1,-1,836101,857345,107288,-1,782626,-1,784446,-1,-1,-1,-1,-1,-1,626175,771081,446980,62201,-1,-1,-1,-1,-1,415015,-1,-1,-1,-1,954181,-1,-1,-1,-1,141676,100575,999036,-1,-1,-1,-1,-1,864587,450828,249274,-1,308805,988612,-1,438956,-1,189132,-1,-1,891825,-1,985277,-1,649332,-1,967961,660025,282660,-1,788924,832806,549471,485983,300099,838694,-1,174011,76658,-1,680542,596064,528044,73844,167609,-1,-1,134115,-1,421303,-1,318732,757835,-1,-1,-1,-1,-1,580397,-1,-1,567699,-1,823250,522370,351142,481761,990211,-1,-1,-1,-1,-1,588469,501759,262544,88880,794392,-1,-1,333185,586400,373112,-1,151407,706202,-1,-1,244958,-1,38351,-1,-1,-1,678356,-1,46499,774750,-1,491679,-1,131803,551693,-1,-1,134018,382807,-1,305804,-1,-1,575522,-1,-1,-1,-1,-1,-1,-1,-1,638793,-1,-1,-1,-1,154282,982540,862091,-1,-1,-1,-1,-1,508711,253163,270609,502137,834655,807839,-1,291803,454088,865107,-1,435637,945868,913525,267276,122130,271773,398969,505024,742156,-1,-1,-1,-1,-1,351415,-1,497675,722058,22171,-1,-1,-1,779277,-1,331822,-1,120059,-1,-1,50343,765731,398430,178546,-1,302229,-1,-1,982204,972154,552983,707231,-1,-1,-1,729572,-1,-1,-1,367882,-1,-1,-1,-1,-1,-1,-1,-1,928592,-1,528921,-1,-1,-1,764811,-1,936520,-1,250114,909687,-1,162151,-1,-1,-1,809660,554119,-1,866925,106549,-1,934944,412638,136149,-1,-1,-1,-1,515703,452400,-1,857251,-1,243388,79962,720498,423868,686223,732280,219122,261061,-1,-1,-1,-1,552250,11576,-1,117651,829988,-1,409587,-1,-1,-1,-1,890334,416058,493696,230512,572329,-1,-1,591161,63857,20315,-1,326705,-1,-1,298298,-1,-1,-1,731599,-1,-1,295462,844722,-1,-1,425032,96228,-1,-1,102645,928208,952253,109564,346771,67158,287084,936633,406319,-1,485632,-1,168304,293325,390754,-1,864605,79255,782007,-1,477169,113429,-1,-1,-1,30089,979535,2736,418438,230832,530887,554799,482364,729426,-1,913848,-1,-1,-1,787410,822303,-1,557773,-1,365729,469509,693102,56914,-1,-1,-1,-1,954849,-1,-1,-1,-1,369262,-1,657397,176213,-1,-1,-1,485643,283613,963397,-1,403004,858135,-1,501543,-1,970965,-1,-1,485701,651130,72462,-1,61258,-1,-1,648095,339186,-1,833934,823646,-1,738536,615326,-1,-1,-1,-1,-1,-1,-1,-1,-1,545540,-1,-1,-1,911972,-1,631356,595315,-1,539797,321928,337217,435923,-1,-1,77389,353655,497463,-1,737220,-1,-1,-1,183903,-1,-1,90964,-1,919887,-1,65307,-1,97333,193497,434668,-1,109834,-1,232792,919608,287443,55495,578071,763983,-1,-1,213226,969566,449108,383051,-1,-1,657090,946689,-1,-1,387705,945859,-1,275460,338873,-1,915113,460036,719724,958547,-1,-1,649579,-1,-1,115967,182025,-1,663410,349831,577231,513116,-1,272313,28254,-1,-1,-1,-1,-1,-1,314690,304906,-1,136090,906556,982539,-1,-1,257001,-1,713265,-1,-1,-1,353264,589220,-1,496261,828591,490794,988103,-1,-1,940050,565874,-1,-1,146594,239302,-1,918035,354415,97464,522628,-1,1130,-1,383661,-1,-1,163346,-1,-1,-1,-1,-1,130157,949239,-1,-1,728877,-1,-1,-1,251371,-1,-1,-1,492202,-1,365236,58835,297914,883828,298267,284441,513921,-1,-1,642441,-1,594053,-1,162392,-1,-1,761063,983943,-1,-1,126717,919795,601592,-1,-1,674639,465326,718648,-1,688461,-1,770257,36069,-1,-1,666967,447638,-1,-1,871287,-1,423473,-1,-1,552123,965191,468364,-1,707099,734713,163095,-1,908709,790665,185911,-1,-1,130558,-1,295783,717301,59606,-1,890734,844187,464410,-1,-1,726950,546784,-1,855777,838490,936842,899418,-1,47788,309832,308939,473287,-1,596891,-1,412184,797816,746037,-1,-1,-1,-1,-1,-1,334334,-1,-1,443569,73070,595860,-1,-1,703336,162869,383214,612973,550873,-1,426984,489592,-1,989518,-1,278262,-1,-1,744437,408695,317991,-1,-1,-1,31452,-1,-1,-1,-1,337383,-1,-1,65045,-1,775396,-1,806795,-1,-1,189156,-1,654071,900196,-1,-1,209826,603693,285781,-1,984098,431938,-1,-1,866423,954967,893169,782934,-1,748610,-1,55623,-1,514415,-1,387145,-1,186359,864596,-1,935623,-1,734761,316012,391454,827133,107223,992069,-1,177120,151262,-1,-1,-1,-1,75212,-1,182084,597560,-1,-1,662018,781390,-1,-1,-1,184972,195951,-1,-1,-1,819023,-1,-1,553685,-1,-1,-1,703917,-1,756481,-1,-1,847630,-1,-1,772105,205910,-1,590438,960231,909320,283841,-1,-1,-1,-1,-1,495614,-1,-1,-1,-1,671397,344096,797956,-1,-1,381698,-1,345161,343315,629380,267097,595548,-1,-1,88923,-1,524178,915666,-1,784817,-1,-1,811599,966884,-1,625319,269364,-1,108291,243500,-1,134050,-1,-1,173796,-1,-1,-1,-1,-1,443122,709772,-1,261393,-1,841717,-1,-1,-1,-1,-1,857202,-1,587568,193477,265086,-1,434280,-1,-1,-1,-1,-1,751406,-1,-1,682211,344352,748376,-1,-1,396992,-1,932723,721720,342583,390222,737368,-1,169307,-1,243985,-1,245678,-1,329219,-1,931339,64037,669189,-1,-1,-1,731459,52541,-1,-1,-1,140921,197267,615019,725017,-1,488162,-1,338842,360622,437146,296216,831602,241042,-1,-1,-1,544093,146858,966762,779423,518492,-1,-1,-1,-1,541011,79265,-1,-1,688777,740779,-1,915031,190069,-1,-1,-1,329383,301051,-1,884814,264915,-1,803383,-1,412855,468718,-1,290416,184919,-1,281531,220133,64370,503503,-1,-1,424011,724381,-1,68562,-1,-1,525867,-1,264856,65688,-1,47924,90689,-1,815684,293837,-1,948360,836624,-1,-1,554830,837923,-1,779701,950534,-1,-1,226230,29607,319155,-1,-1,937179,-1,674769,-1,-1,-1,-1,-1,-1,913122,-1,65864,-1,-1,60668,-1,-1,-1,-1,-1,-1,920246,-1,678858,328134,326320,660500,-1,-1,-1,51044,-1,738552,-1,-1,948663,-1,-1,295147,631882,-1,224002,15087,-1,-1,-1,559357,996278,-1,-1,-1,-1,703454,265517,-1,-1,-1,963844,376622,-1,-1,-1,-1,-1,-1,-1,486188,498133,-1,656586,-1,422885,180550,729938,-1,-1,-1,-1,115451,173646,267063,397072,-1,104116,526490,616540,642014,-1,35411,896679,552836,865897,-1,-1,-1,-1,-1,925545,56741,-1,-1,403290,300497,844314,-1,311777,320905,-1,-1,253753,-1,356328,-1,-1,682515,-1,-1,-1,-1,-1,-1,-1,676479,877446,596074,-1,-1,55692,458383,987080,526299,-1,470092,193984,437695,-1,-1,-1,512117,-1,-1,599250,534854,-1,-1,-1,-1,547230,-1,-1,-1,-1,-1,276102,317455,549528,-1,144527,-1,-1,-1,-1,-1,-1,973239,-1,-1,-1,290236,707194,-1,273915,-1,-1,-1,-1,-1,792905,328268,678900,812843,400278,374383,-1,272084,-1,-1,-1,836562,518848,-1,-1,-1,-1,79775,-1,199579,949161,-1,286825,343446,-1,-1,-1,471849,-1,673211,519391,628340,-1,911296,-1,-1,-1,-1,-1,-1,740240,-1,-1,-1,-1,170774,765887,320936,-1,314625,897920,189675,-1,501610,-1,81533,18688,-1,-1,618310,302079,865126,-1,-1,-1,777963,17924,-1,822861,-1,-1,-1,-1,-1,-1,-1,113733,-1,660824,-1,85597,-1,373568,-1,-1,-1,928704,790766,-1,592053,-1,305012,-1,-1,111460,-1,-1,596864,-1,-1,572655,-1,-1,-1,-1,-1,596878,-1,35388,738634,-1,194074,-1,417194,648526,-1,-1,111128,836177,514227,-1,645059,298622,-1,693348,431180,766386,858379,176108,-1,-1,100600,-1,-1,-1,-1,-1,-1,437881,-1,-1,-1,268122,-1,-1,-1,223881,851800,-1,-1,67475,-1,57630,-1,62744,-1,428896,46974,95162,150380,-1,-1,-1,634026,-1,-1,-1,-1,-1,-1,982069,348986,-1,-1,-1,-1,753201,-1,82746,1068,-1,486704,877128,-1,355525,-1,378225,-1,882509,862625,558412,622029,-1,798167,-1,-1,403970,-1,-1,608926,-1,648823,-1,-1,36592,387013,89955,836976,766521,-1,-1,-1,-1,-1,398979,-1,73555,-1,254919,79117,530833,46616,326297,-1,-1,-1,-1,631635,311551,-1,-1,-1,-1,13544,230750,256569,-1,-1,-1,-1,-1,193309,177995,519845,204619,457344,-1,-1,449,711857,223063,-1,999206,-1,-1,-1,-1,314505,366410,324481,451641,464133,466328,748425,-1,-1,-1,-1,973480,-1,114694,342689,-1,-1,450989,589874,703721,147386,-1,-1,-1,-1,-1,-1,-1,-1,-1,362590,678995,-1,18148,-1,-1,407821,-1,-1,877282,-1,339068,760558,670514,-1,43878,920488,229464,-1,289747,-1,425297,-1,-1,-1,-1,691911,502622,37794,138054,-1,674886,802840,-1,130827,-1,419484,961474,716977,-1,-1,970183,-1,-1,-1,485240,-1,203725,117052,685782,408030,42405,26207,-1,724830,-1,-1,424632,700016,318204,30460,624877,112921,874752,-1,417063,-1,1713,603049,852351,435883,-1,-1,-1,508161,939541,-1,-1,-1,-1,854141,-1,362892,-1,-1,-1,574142,74403,564880,-1,489293,-1,-1,-1,167200,541729,266781,130214,-1,108989,-1,310644,-1,820246,490560,295226,169293,-1,-1,-1,-1,616777,-1,310678,716420,492832,-1,-1,-1,856090,564585,-1,-1,-1,275925,639275,670060,714413,190939,739367,144329,-1,159252,847841,-1,-1,-1,823759,-1,-1,165718,567815,814726,-1,-1,327077,932080,-1,-1,-1,77651,977688,-1,-1,115181,-1,653749,940793,-1,859138,-1,-1,532318,633898,281842,90444,-1,736292,345958,238072,851676,658989,326266,-1,476224,998857,263031,601739,403215,-1,556104,-1,984286,-1,603008,-1,-1,395132,180747,-1,-1,-1,-1,177961,223364,852293,-1,429268,-1,842799,613653,-1,901851,114266,190916,-1,-1,644861,448811,-1,-1,-1,697593,-1,852135,392645,617613,-1,736800,-1,753678,549625,-1,-1,-1,-1,818524,144967,553933,-1,74975,-1,992157,467492,-1,621506,781626,-1,-1,171377,-1,-1,-1,-1,-1,-1,132120,-1,517150,755546,7551,363742,-1,570984,-1,-1,-1,893668,678506,302991,-1,-1,539091,-1,-1,-1,589432,-1,425989,490236,922725,-1,892718,428864,653804,317066,-1,7897,-1,706428,-1,-1,-1,-1,797178,397138,-1,780096,548185,593819,386459,-1,705661,-1,598254,719445,453142,163424,832824,9608,-1,-1,-1,-1,218599,-1,875971,35678,-1,-1,-1,189328,-1,-1,655147,602794,-1,933652,-1,877635,266561,-1,340578,-1,445318,397353,-1,-1,-1,-1,758027,248435,-1,991021,102711,-1,773034,125945,-1,957523,918970,-1,-1,415706,319047,-1,-1,-1,339065,341665,-1,-1,35676,894382,-1,868798,-1,306247,-1,-1,-1,-1,-1,803876,305963,142056,427307,341249,527829,840395,661242,947370,575078,-1,-1,-1,24387,193231,-1,456944,726053,703370,-1,-1,529632,220682,514464,678069,811744,715151,-1,-1,219470,-1,-1,-1,-1,-1,122316,-1,717273,672769,-1,25831,-1,389274,403337,-1,-1,969411,-1,482366,923919,590260,746623,866986,869736,-1,-1,182789,-1,745113,-1,-1,657116,-1,-1,-1,-1,641633,-1,882991,712429,-1,104939,-1,228587,-1,822086,318755,614648,-1,-1,-1,8032,444607,664457,89839,-1,-1,-1,805337,-1,825923,-1,4493,-1,-1,563154,656887,501390,920222,621729,254918,-1,764406,728956,846187,-1,-1,-1,603222,376593,-1,8028,981789,394657,-1,-1,-1,-1,395575,461768,188702,-1,954590,-1,-1,85917,906650,-1,-1,-1,-1,-1,-1,-1,396938,-1,-1,-1,-1,479673,944592,2196,-1,771585,503899,426404,-1,593403,345809,188529,-1,542540,-1,-1,542214,-1,-1,-1,686368,-1,358260,-1,100186,-1,-1,14864,-1,-1,-1,-1,-1,925581,-1,581834,-1,830366,889162,305995,581961,965492,484203,167520,188222,-1,-1,47969,-1,-1,-1,-1,-1,562533,-1,615698,-1,804589,476261,-1,-1,-1,272022,549666,-1,353278,775188,-1,-1,436843,10700,-1,-1,-1,454723,-1,-1,278314,-1,292543,889596,101483,-1,747006,726181,472831,-1,445670,-1,646402,266016,-1,166008,230792,-1,131288,-1,-1,-1,-1,615589,683456,-1,988001,-1,-1,307928,-1,-1,328159,-1,537382,179041,-1,-1,15159,-1,847561,-1,-1,-1,255963,576058,-1,-1,-1,-1,156283,-1,502377,-1,-1,-1,-1,938437,801714,580120,-1,200441,-1,-1,171480,561446,-1,-1,455507,-1,-1,-1,895261,-1,539037,871504,-1,-1,624147,-1,-1,-1,2191,797893,-1,-1,-1,218991,432472,993850,-1,154778,554080,230035,24059,-1,794407,857513,-1,-1,-1,-1,696393,-1,-1,-1,-1,710915,-1,-1,949966,-1,459537,288810,-1,-1,-1,668696,796235,931947,-1,-1,-1,-1,-1,859322,-1,-1,-1,-1,-1,917937,-1,-1,714343,-1,-1,488697,-1,317094,853688,791694,567372,-1,-1,-1,627720,-1,-1,-1,892936,823187,-1,-1,127304,-1,987672,-1,-1,426426,-1,-1,646067,840533,516184,-1,211322,-1,-1,-1,-1,673722,-1,-1,45786,763929,63236,715774,-1,530499,402155,145668,354381,-1,-1,-1,814644,671237,-1,748745,322744,-1,503417,-1,322757,-1,-1,633411,564793,-1,-1,-1,-1,256590,608715,175144,-1,-1,697910,-1,-1,800432,211055,-1,277664,225279,388054,837568,189000,-1,-1,-1,-1,318721,-1,-1,638238,-1,515165,882547,-1,211922,-1,806625,659593,169028,-1,-1,746030,-1,962407,-1,-1,-1,671236,-1,921942,-1,717352,392157,693022,450499,-1,964158,-1,-1,54067,439878,817777,893962,-1,-1,140130,274725,999120,335969,225949,222965,-1,89716,-1,973945,589235,-1,397381,-1,-1,954604,-1,-1,803195,277690,535983,88326,829945,840095,282912,34037,193625,767913,656790,-1,300302,-1,-1,-1,-1,-1,-1,-1,-1,440257,567608,270002,-1,-1,614196,673058,138260,-1,-1,-1,-1,236411,-1,-1,-1,28501,919145,870256,-1,-1,-1,274070,-1,881783,16029,667513,-1,137499,636186,739537,-1,-1,-1,-1,767591,12049,-1,-1,-1,-1,-1,109459,168523,-1,184494,319951,-1,206343,-1,-1,-1,-1,218499,545773,683017,-1,-1,845186,344657,750028,-1,17587,191342,475304,805514,637013,-1,-1,857995,-1,-1,-1,111369,773023,-1,-1,-1,685941,341717,506129,457729,761822,22278,-1,997872,-1,917906,175914,-1,-1,-1,-1,41571,-1,825639,-1,714040,-1,324129,-1,-1,-1,41071,-1,555487,759451,-1,-1,511808,769729,-1,-1,-1,884791,506730,852297,742894,993363,531249,300305,392404,87470,272565,21580,-1,-1,-1,-1,-1,500595,-1,358073,-1,-1,-1,-1,434176,-1,862000,520004,-1,-1,784,119668,-1,-1,-1,-1,-1,348757,-1,-1,-1,-1,424680,23085,-1,471090,390326,317004,980576,870630,-1,174570,-1,-1,762810,-1,366551,483594,849111,-1,310385,-1,-1,206738,960323,-1,-1,604764,-1,-1,849665,-1,958501,-1,918473,983075,817416,-1,-1,-1,783477,-1,874886,-1,-1,-1,-1,-1,252149,-1,401584,75873,326201,10646,-1,-1,-1,721547,710755,336230,-1,254842,455240,-1,97958,500950,502523,994196,944871,-1,538980,167919,-1,29880,-1,846837,30963,-1,-1,575495,276282,40333,-1,-1,-1,-1,-1,100623,-1,425905,176032,225046,-1,-1,-1,363277,530352,-1,523434,861035,198597,-1,-1,729024,-1,-1,-1,-1,959245,-1,295485,-1,846071,433167,806190,481577,-1,-1,283704,-1,981493,-1,-1,-1,-1,-1,915063,20132,896383,348872,527180,-1,-1,-1,-1,-1,-1,209385,882329,470369,400290,-1,485964,571705,456174,792462,-1,405342,847980,702860,-1,-1,412810,106450,496849,-1,940056,-1,697990,-1,773264,467307,-1,-1,-1,872077,-1,-1,-1,-1,617994,300666,416929,-1,914867,44289,762804,94604,-1,-1,-1,-1,37893,-1,965458,-1,532188,-1,135668,300663,462311,442011,-1,200638,-1,807310,-1,-1,-1,-1,-1,821553,-1,687696,-1,-1,415128,-1,-1,-1,-1,-1,-1,950693,-1,-1,-1,524460,56840,958085,993588,-1,219584,-1,-1,-1,-1,-1,-1,-1,141220,103842,-1,-1,231822,682406,-1,180857,-1,-1,604690,929656,867082,-1,-1,311462,-1,-1,-1,572583,561507,357230,-1,688733,-1,-1,-1,746059,416088,618545,764225,638287,-1,-1,713290,982552,-1,66692,117293,-1,217436,273126,932747,-1,362381,574106,857743,-1,308736,829617,-1,-1,30592,960281,-1,414836,-1,117618,-1,-1,157605,402718,351302,729549,-1,854691,-1,904611,17598,-1,-1,543847,906115,121368,-1,-1,-1,-1,886188,-1,632357,180259,226046,379247,-1,-1,-1,-1,87423,237443,6977,-1,466830,-1,828452,-1,37001,-1,-1,459570,-1,-1,351292,-1,561158,924725,-1,-1,-1,-1,861249,618122,-1,19201,-1,-1,796073,734450,-1,451558,-1,664404,407796,-1,-1,329789,-1,-1,303844,265063,-1,-1,537407,-1,82740,959298,-1,-1,220165,755414,11366,-1,81913,-1,-1,-1,192372,-1,512093,-1,395933,-1,554801,200955,572215,37379,59294,117134,192177,616354,207158,-1,472208,368014,-1,-1,-1,888214,-1,-1,453832,240739,641661,134546,397938,-1,-1,-1,-1,-1,415455,912994,95322,618929,-1,33331,547175,569978,-1,-1,795157,-1,70706,809069,891789,-1,505679,598806,-1,-1,276236,-1,726641,695327,-1,90956,-1,-1,244848,-1,-1,-1,437377,736535,301851,463287,-1,-1,-1,653722,666828,-1,-1,148382,257517,-1,358553,-1,763833,-1,-1,606524,-1,-1,-1,-1,973402,-1,-1,324749,-1,-1,-1,-1,-1,-1,289680,462325,416012,-1,-1,802136,104863,-1,-1,-1,526588,-1,-1,-1,414485,-1,560921,182318,-1,-1,-1,90509,274178,362054,-1,-1,393557,-1,-1,640223,829716,-1,723813,932193,491272,483276,-1,-1,227705,-1,931015,-1,-1,775151,963220,522939,-1,241272,-1,-1,86094,563748,-1,-1,-1,50001,841065,192248,-1,189195,685930,-1,-1,-1,176187,420284,-1,918275,-1,-1,384029,-1,-1,770828,423901,-1,327387,747838,-1,523152,-1,-1,441194,268819,-1,147705,233187,966401,470374,-1,-1,396866,-1,-1,-1,-1,-1,-1,-1,-1,392739,971729,-1,-1,-1,695136,731658,-1,311186,-1,-1,-1,243031,640896,-1,869307,-1,-1,54753,357169,-1,-1,-1,-1,-1,-1,981088,-1,-1,-1,-1,-1,-1,-1,346729,-1,-1,-1,685644,-1,12444,373434,-1,528735,-1,-1,-1,-1,258475,-1,222129,583924,-1,818258,-1,115430,-1,-1,983917,-1,-1,948939,-1,502578,-1,867445,-1,359825,205469,-1,-1,-1,837469,695072,999413,-1,-1,-1,893288,-1,-1,777814,-1,-1,160318,966631,867944,-1,-1,-1,54444,-1,985639,-1,-1,-1,-1,26752,54280,-1,-1,423752,-1,-1,-1,218741,495718,-1,578697,-1,236957,563878,667445,-1,105955,-1,481327,175726,-1,-1,-1,255021,964736,170703,-1,193270,904948,-1,-1,764326,629073,116920,573460,-1,69659,-1,-1,516245,681988,-1,363858,-1,-1,421896,-1,643661,90187,900053,-1,-1,-1,-1,249683,-1,710452,412379,-1,552631,596787,198063,-1,-1,-1,430318,-1,455975,-1,192977,289707,532885,-1,881510,17441,840187,-1,491631,-1,43093,-1,-1,-1,234913,-1,-1,75841,95856,-1,-1,-1,890034,152065,-1,-1,-1,-1,-1,-1,935755,510483,-1,-1,-1,946768,118625,-1,-1,507895,104730,-1,349265,663613,164735,378604,-1,-1,482491,-1,519172,-1,487763,596216,851636,-1,904910,171694,-1,3797,273347,163471,-1,815476,-1,362383,-1,-1,864193,-1,708649,433284,-1,-1,123516,84950,619016,-1,589547,810957,-1,-1,-1,-1,-1,514760,692442,845024,458431,-1,402781,682055,324582,563435,-1,588380,904615,935934,356237,114986,889609,-1,-1,469911,767076,-1,-1,-1,585246,476682,344757,896794,-1,-1,-1,-1,149535,-1,377706,-1,-1,-1,-1,-1,-1,-1,387066,-1,-1,854048,-1,-1,-1,476244,744207,894298,-1,-1,-1,460014,778740,-1,-1,-1,909680,502142,-1,-1,-1,335446,-1,184226,695657,30280,550012,-1,-1,481149,359120,-1,902617,-1,-1,661567,-1,-1,-1,941866,935395,-1,288884,-1,-1,380812,-1,-1,-1,85301,-1,-1,430906,539344,760905,-1,-1,-1,-1,-1,-1,-1,7621,590019,509834,-1,-1,771855,-1,342168,914366,-1,-1,389825,451715,-1,995831,-1,381571,-1,132493,283834,-1,521888,9743,-1,584637,-1,-1,488133,376600,-1,222091,540220,-1,-1,412091,-1,-1,-1,-1,-1,275547,331374,-1,-1,39771,191509,479951,-1,794104,250241,158015,-1,957965,933645,937469,811445,-1,917758,707557,-1,25941,840630,-1,-1,-1,-1,419135,-1,555332,74407,-1,-1,936302,775919,202515,215444,-1,-1,-1,725351,-1,422033,509695,-1,-1,-1,36449,430725,-1,511478,97076,141457,174771,295315,838721,803179,-1,-1,170633,163293,488992,840648,364925,-1,543972,-1,759713,-1,246892,710536,28975,52091,35879,803427,-1,-1,-1,-1,496,166922,-1,-1,94636,-1,680226,166457,131554,170234,27617,-1,-1,958416,558374,369745,814630,256547,-1,209194,623760,193443,847899,-1,297963,756822,-1,185847,934513,195215,-1,-1,-1,854907,104685,452361,605506,-1,-1,254260,311806,285806,-1,-1,-1,729686,979912,607725,-1,613045,985736,707286,-1,882444,-1,613585,35844,554336,-1,827262,498851,-1,-1,-1,-1,-1,517558,176656,-1,201668,826459,643029,116161,389033,22070,-1,-1,-1,-1,631331,483130,804909,-1,-1,132826,20012,44058,124596,-1,-1,352295,870736,-1,500242,-1,-1,-1,-1,947005,26436,87795,-1,19246,-1,792829,95260,933886,-1,-1,-1,147642,-1,-1,-1,-1,958834,-1,-1,-1,48073,-1,-1,971047,-1,-1,933636,523595,113767,-1,-1,-1,-1,-1,908409,-1,-1,549650,-1,-1,203997,801432,831302,-1,-1,73280,208651,575773,-1,-1,476514,545711,-1,-1,-1,-1,-1,-1,-1,490256,285682,-1,57140,-1,714650,137860,-1,-1,-1,-1,-1,-1,613707,-1,-1,187274,659645,-1,-1,984448,975877,204638,-1,-1,-1,-1,609713,752996,333708,-1,-1,99008,-1,-1,531170,-1,-1,-1,-1,-1,77534,63397,-1,-1,-1,549536,-1,-1,-1,733655,226326,-1,278784,566718,253914,373743,360123,644504,-1,-1,-1,-1,336836,-1,459335,285211,-1,-1,-1,754115,-1,-1,956283,-1,-1,-1,296227,960846,-1,212048,-1,706451,-1,-1,-1,-1,-1,-1,703074,-1,-1,-1,194249,230649,-1,-1,849708,412290,-1,698123,-1,456075,396379,54465,581483,287460,465958,489604,-1,-1,257343,956507,-1,351824,50620,726856,690060,-1,396336,-1,759632,260643,708,-1,-1,458919,749121,-1,290135,-1,189873,-1,60055,-1,320847,-1,522826,189680,935751,-1,459525,552005,523515,204965,888952,209416,-1,-1,264103,649147,-1,149534,-1,-1,-1,577133,-1,-1,-1,876522,17840,412756,-1,580238,-1,-1,271261,839682,526736,716980,661579,987528,254241,776810,-1,126793,868177,349113,444890,-1,880980,-1,300912,344036,769377,-1,-1,-1,-1,869106,645961,-1,517607,404158,-1,-1,513261,698691,101379,-1,763355,-1,374800,244976,16093,-1,128942,-1,165300,-1,906392,-1,231899,-1,288334,-1,939706,-1,-1,854405,851529,-1,-1,-1,-1,189510,573775,969207,-1,616499,366234,-1,-1,701835,-1,-1,-1,456829,-1,831930,412282,646706,174933,-1,-1,-1,999188,-1,298863,-1,35274,288442,-1,782432,547288,817640,-1,539628,-1,194360,-1,-1,366884,725334,254305,-1,-1,-1,-1,-1,173025,-1,-1,797955,237528,-1,242969,650503,206154,-1,-1,-1,-1,489498,712740,945188,-1,-1,-1,974567,103358,792391,135513,-1,319234,-1,-1,447292,936970,699858,931390,-1,337154,-1,-1,362563,-1,475334,-1,-1,632347,-1,257242,-1,580070,-1,-1,-1,202782,-1,-1,530780,-1,380760,-1,907357,462108,759417,988667,-1,-1,-1,421533,717824,-1,-1,139966,188424,784268,941969,410256,-1,628674,-1,876446,28712,129502,-1,733135,434202,-1,253869,-1,-1,-1,-1,-1,712632,409567,-1,575283,-1,-1,-1,-1,-1,-1,-1,-1,617833,864477,818646,371799,-1,-1,526961,-1,638011,162574,-1,531373,64268,586459,-1,767098,602110,-1,-1,-1,289822,-1,129319,-1,-1,-1,-1,-1,-1,194947,804882,-1,383420,472943,125093,899298,-1,-1,-1,-1,-1,77678,-1,43666,-1,-1,-1,968063,370508,363256,-1,-1,815353,940006,-1,-1,963899,355770,877687,-1,260804,-1,873117,751609,-1,552655,253781,-1,330349,954810,-1,-1,-1,410209,528058,-1,-1,216608,-1,-1,309477,-1,-1,74022,-1,655437,-1,-1,-1,507002,-1,322041,-1,651110,218515,-1,-1,-1,255840,-1,321877,799080,-1,-1,29129,-1,-1,459272,816477,371992,-1,531667,447943,-1,214816,-1,-1,-1,-1,-1,893531,-1,69215,213574,-1,-1,-1,220609,416776,-1,-1,526175,602669,276417,-1,-1,-1,-1,722669,-1,-1,-1,-1,859572,171068,832171,865571,584991,66319,-1,102538,124033,-1,-1,776587,904289,768098,-1,133645,-1,-1,792312,-1,-1,-1,-1,-1,-1,479020,742947,971941,-1,-1,951436,-1,383913,-1,-1,85039,-1,277023,-1,167132,-1,-1,378229,-1,-1,-1,-1,350297,-1,370454,-1,539123,306594,-1,532118,-1,997651,208356,-1,-1,743245,-1,176429,-1,-1,666098,-1,-1,346703,146433,179956,-1,-1,-1,-1,-1,706992,-1,-1,726509,279884,-1,-1,7136,-1,672515,711241,99281,500133,539911,328317,241985,401094,-1,971524,374820,925127,162360,-1,66784,259500,674151,-1,-1,382675,578515,545101,-1,579158,-1,68884,-1,-1,-1,-1,958680,727651,781736,944655,-1,808438,-1,108140,925547,469489,302316,-1,-1,-1,-1,220159,-1,61928,292801,740479,932177,669442,248875,-1,946618,-1,-1,-1,189570,-1,763231,-1,-1,344185,-1,631379,525474,-1,-1,274649,980796,591543,65765,-1,318262,508582,749057,-1,-1,566950,-1,-1,13246,972665,591770,-1,241468,829847,-1,920414,-1,637083,-1,-1,-1,74957,-1,-1,-1,-1,330686,738610,-1,849603,910259,-1,-1,-1,949410,-1,-1,-1,392990,522314,-1,-1,-1,-1,505211,913984,-1,-1,582395,662169,-1,69394,100167,212874,-1,816664,524243,-1,10,663674,-1,26020,11951,-1,-1,-1,-1,229678,755039,580634,140114,333492,627035,532652,-1,-1,-1,-1,-1,630371,919479,20117,-1,912230,-1,-1,278749,-1,-1,-1,421983,-1,-1,-1,419557,707676,855254,-1,237258,-1,-1,75860,-1,703802,791485,514630,834430,-1,154671,163792,-1,417124,-1,-1,-1,477951,292277,540119,-1,-1,94057,-1,720888,-1,617084,995876,541429,949818,510708,-1,782744,675775,994892,369181,-1,-1,-1,-1,828309,-1,541339,786966,-1,267268,-1,-1,-1,250160,-1,620879,-1,-1,-1,690280,-1,793032,-1,-1,952176,701405,63191,-1,174239,-1,-1,400006,-1,-1,-1,-1,-1,-1,178752,128883,-1,-1,796933,917279,638756,-1,-1,-1,-1,364657,-1,-1,-1,-1,625089,-1,-1,477519,-1,18960,910036,-1,-1,451553,-1,44755,-1,-1,-1,-1,969656,88573,264643,-1,-1,-1,869460,-1,-1,-1,223463,686093,337498,448094,-1,-1,654937,524708,-1,412017,73252,-1,427138,-1,427823,-1,897265,-1,402571,289388,-1,-1,752412,-1,505263,-1,-1,950436,-1,66688,225855,984372,-1,-1,396777,861211,464307,-1,-1,-1,430891,431224,-1,369252,281021,-1,-1,-1,8151,950326,499283,-1,542837,999508,648296,511440,-1,-1,148616,-1,-1,197047,-1,283979,640118,-1,328987,-1,-1,26910,693487,935950,-1,912384,486787,332828,896410,-1,-1,-1,903090,-1,-1,788133,-1,731907,-1,-1,254706,-1,146660,-1,-1,-1,-1,775199,-1,761402,-1,487794,-1,-1,426976,861228,590724,-1,-1,-1,572962,541144,-1,-1,806470,-1,-1,-1,-1,-1,740427,-1,195795,696525,-1,559244,-1,428630,-1,-1,446154,530336,-1,247149,383176,-1,975600,383220,-1,413229,-1,-1,-1,217355,815913,86189,664193,-1,-1,956830,-1,383041,203496,-1,383544,-1,-1,738450,-1,65172,-1,729319,-1,-1,137363,180207,-1,391156,-1,810543,-1,932270,234790,813016,193049,440224,8361,-1,135769,-1,-1,-1,930118,211490,-1,476625,-1,296047,-1,-1,-1,-1,705886,970730,396919,-1,-1,186830,-1,381423,-1,600762,368082,-1,-1,41474,836987,-1,699714,-1,-1,-1,-1,340695,-1,10476,-1,-1,-1,-1,86286,-1,-1,-1,666792,124935,-1,-1,765298,866834,-1,-1,-1,681112,832977,-1,-1,535684,-1,-1,111417,693883,96739,146496,-1,-1,-1,175857,-1,-1,736580,-1,629667,597014,-1,62803,250320,-1,352536,145640,-1,322535,971257,-1,-1,196498,786024,416094,304700,-1,-1,-1,-1,-1,-1,242563,-1,820110,-1,-1,-1,462779,947643,374787,-1,530644,-1,-1,-1,303419,-1,-1,26105,85811,-1,412038,708191,302325,-1,341397,393598,112812,-1,856045,-1,769362,678154,-1,-1,523391,-1,-1,-1,-1,-1,-1,-1,956904,565157,598862,955197,-1,329154,-1,-1,490021,-1,208073,-1,-1,-1,741031,78573,211802,179394,-1,-1,526213,541970,168135,-1,53260,716519,-1,658510,-1,-1,115627,-1,47024,-1,957085,178737,655080,-1,-1,13032,-1,-1,-1,777260,767840,834573,-1,-1,438684,447469,-1,-1,-1,144386,277125,115976,-1,-1,-1,42452,-1,-1,146824,969799,-1,-1,44993,-1,886060,209969,-1,-1,454075,-1,-1,867581,161826,-1,942312,-1,-1,804699,639138,235538,167797,-1,932501,493894,746527,-1,-1,-1,146266,-1,930309,313604,986147,-1,334155,869259,382266,379006,2440,-1,764480,-1,-1,-1,113775,-1,-1,-1,658044,905745,-1,-1,-1,-1,855989,710614,341958,910367,-1,-1,-1,-1,-1,-1,73085,-1,-1,84642,701037,-1,446512,-1,22670,-1,64605,-1,-1,722791,-1,-1,-1,-1,479442,300752,782412,951844,585855,-1,524982,883665,-1,674116,252718,433543,897036,489313,-1,-1,538548,968748,-1,-1,-1,15868,-1,-1,-1,-1,-1,-1,-1,484440,956193,-1,-1,-1,485751,989209,-1,-1,-1,-1,13835,383793,113550,49644,-1,-1,946317,612845,613724,99246,-1,47275,282465,-1,-1,-1,925019,-1,980981,-1,-1,302157,364541,262524,52178,59673,165374,-1,459948,575687,-1,-1,967405,-1,975788,409300,354177,-1,-1,727267,381604,-1,-1,-1,500314,325901,-1,255707,-1,-1,331265,-1,85576,144427,-1,694201,486461,626118,30261,297356,443322,-1,-1,-1,746839,-1,-1,201056,-1,165597,77763,-1,770056,-1,140070,-1,-1,-1,-1,159347,922545,932358,671816,-1,96886,283050,726082,450362,780301,-1,288966,-1,799051,124249,-1,-1,-1,56407,182745,-1,-1,-1,498338,407134,-1,-1,-1,-1,78088,-1,-1,-1,265284,735397,878963,-1,-1,323923,-1,407257,429716,-1,-1,-1,-1,-1,180497,-1,874586,-1,-1,-1,-1,32285,-1,-1,441179,627775,-1,471541,101055,605549,422489,-1,-1,-1,-1,522456,752932,976868,-1,308058,301538,562664,700903,-1,619920,-1,450904,-1,159126,-1,-1,-1,965959,-1,-1,-1,558402,697519,597696,112113,643300,-1,3240,-1,618447,-1,-1,-1,-1,220760,-1,978538,-1,-1,669784,-1,197350,-1,339151,569976,-1,310820,-1,-1,-1,832045,545095,-1,-1,49646,-1,319716,234101,221346,-1,-1,-1,-1,199443,-1,-1,635432,539643,819777,218706,-1,342219,-1,827308,7343,568863,480048,179495,-1,-1,-1,161097,-1,401143,-1,-1,883449,220822,392367,593883,1624,423084,590978,-1,40114,-1,487337,-1,713172,-1,196441,-1,95741,184136,-1,-1,-1,-1,337252,-1,272891,-1,403905,401214,-1,-1,538943,-1,295163,795835,-1,656379,930005,973897,694088,810109,864114,-1,338441,817631,639957,-1,-1,125823,-1,-1,-1,392532,878009,837139,-1,-1,-1,-1,911061,-1,-1,573117,-1,-1,-1,833714,742483,-1,-1,-1,982751,-1,482995,5154,458026,743366,282995,547906,138989,527252,75857,414950,825118,-1,895689,362578,1899,552022,-1,723278,168706,-1,245791,735471,342228,124385,-1,-1,-1,-1,-1,-1,427112,577306,-1,-1,-1,94319,809599,-1,-1,-1,-1,199260,-1,704518,-1,601974,-1,-1,96154,-1,-1,387102,256773,141606,-1,-1,-1,607999,835987,-1,-1,314824,535830,-1,-1,-1,410868,42115,514951,535007,442051,-1,294140,-1,239396,258521,677296,622205,790353,673107,188058,280332,-1,867865,-1,-1,906006,525996,979054,-1,-1,955559,-1,-1,-1,939703,728406,-1,-1,368126,839982,-1,14825,-1,507351,109291,-1,-1,896884,906119,909073,-1,-1,-1,-1,-1,912797,742877,-1,-1,-1,88664,124921,-1,-1,-1,-1,167381,-1,-1,-1,-1,-1,-1,985974,433031,-1,631199,864206,-1,-1,-1,-1,343881,-1,-1,850432,-1,-1,-1,-1,913854,760886,-1,534244,-1,652668,-1,166212,-1,261628,430177,82385,745061,580118,344191,19220,-1,-1,759019,-1,-1,-1,398584,-1,534231,338594,-1,853489,-1,551624,981173,-1,971777,671387,487078,-1,-1,-1,282185,-1,928983,-1,529476,-1,-1,986680,-1,-1,394465,-1,-1,-1,-1,-1,-1,-1,884906,-1,53360,182437,-1,747443,851460,28155,-1,475389,-1,-1,741387,-1,-1,-1,-1,716700,56110,608977,-1,690549,-1,86651,-1,-1,-1,99571,410152,958382,-1,-1,-1,843770,-1,710576,-1,-1,-1,-1,139359,861233,516672,-1,-1,-1,233722,-1,299821,-1,-1,782279,913821,942137,71060,-1,-1,275986,503245,623851,446895,-1,-1,775887,732254,846621,796206,-1,-1,639640,484823,219313,-1,-1,116575,147525,527970,-1,-1,646916,-1,-1,-1,-1,-1,-1,60250,337937,-1,140428,433218,651944,-1,13994,543475,-1,-1,824131,947114,-1,-1,-1,994265,417220,452565,-1,282861,794823,-1,922684,381198,-1,-1,-1,-1,-1,-1,905977,479660,741953,803997,-1,699363,-1,57447,-1,-1,-1,-1,217502,501614,272514,-1,324204,861119,-1,495520,416852,-1,464638,761217,-1,-1,472674,-1,-1,-1,-1,-1,113287,456487,-1,639699,11460,316406,-1,879336,-1,-1,484379,251362,112847,-1,-1,596400,-1,-1,-1,-1,-1,-1,858749,-1,-1,-1,679235,118434,939237,-1,831526,-1,263306,-1,-1,506526,-1,-1,-1,697477,-1,-1,495899,630549,10578,273266,47472,-1,-1,767301,608123,873975,-1,-1,-1,251799,-1,729333,-1,741613,877001,863424,354798,306903,924774,895245,-1,-1,-1,-1,488409,-1,-1,231664,606765,-1,-1,-1,-1,793470,286098,-1,189053,-1,-1,745104,645007,439578,539833,-1,327549,120648,-1,-1,273870,-1,-1,-1,216185,-1,772974,44047,-1,809394,640016,-1,163196,500430,-1,-1,-1,797773,845650,-1,-1,-1,318780,343236,271852,-1,-1,-1,-1,127207,-1,244843,663386,658109,-1,858826,439948,973516,165430,-1,992493,293669,161241,480754,308497,788072,-1,-1,-1,500428,-1,-1,-1,847844,395930,-1,-1,-1,-1,-1,569875,805736,413093,538653,683538,673633,-1,-1,244387,71259,-1,369621,437177,919329,758262,-1,209570,-1,-1,29108,711934,-1,-1,542010,-1,-1,306241,-1,-1,806882,-1,-1,-1,660717,142313,982722,455166,-1,338613,933558,70542,604891,980864,477042,954401,252410,948292,-1,-1,401272,816089,-1,942453,376330,-1,297137,-1,450993,343939,678101,597799,638308,967700,-1,538550,952712,704028,615063,-1,-1,770127,364282,623980,-1,-1,-1,261981,369085,303045,144057,-1,-1,694007,293432,-1,-1,953971,446372,-1,-1,511038,801801,89551,877571,-1,497859,180377,809967,-1,-1,-1,-1,-1,247089,298599,372339,-1,358470,-1,-1,139401,379593,-1,-1,845769,275070,-1,392719,-1,-1,-1,-1,977880,665072,-1,7742,262962,-1,451701,559803,175748,-1,-1,243104,-1,412685,-1,-1,-1,-1,226387,-1,408614,95029,-1,-1,497327,-1,-1,285116,-1,-1,13426,586305,-1,290926,-1,489538,265115,228496,245302,465783,621532,304131,288414,-1,-1,-1,876629,858739,241872,-1,-1,183957,-1,-1,828331,483139,-1,163772,622218,-1,-1,-1,-1,-1,-1,309213,-1,433354,-1,565152,112946,-1,702864,-1,-1,214593,1065,423446,-1,542629,182109,-1,86598,-1,432637,634426,-1,744586,454452,-1,-1,-1,451132,-1,580956,642025,611072,167735,395834,260531,344802,592698,705815,649463,-1,86662,860813,-1,793785,-1,956301,-1,336361,784171,-1,-1,-1,176307,927832,-1,-1,545614,-1,553977,31779,-1,807069,-1,-1,337506,827656,-1,44456,293809,-1,-1,-1,843830,-1,-1,-1,268571,-1,758000,155075,357453,-1,885017,-1,513681,181762,558298,-1,-1,718156,594642,-1,-1,-1,-1,769312,-1,972835,-1,851732,374346,-1,824144,347621,-1,-1,460579,685785,-1,-1,559681,-1,-1,-1,18565,-1,-1,367041,-1,839673,334133,-1,-1,991865,-1,65699,549687,714839,131756,887691,393695,-1,628679,68677,-1,776565,562395,844352,-1,504617,-1,119375,214827,452882,-1,-1,-1,439964,247651,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,521218,516234,748010,389950,401432,-1,11493,384361,397708,-1,938732,977790,-1,-1,-1,-1,784742,-1,-1,-1,649399,-1,994195,-1,51728,-1,987309,-1,576771,-1,650243,-1,-1,-1,-1,-1,-1,576533,31294,-1,23399,287034,-1,908318,-1,-1,344669,-1,31293,703957,-1,762544,869053,-1,-1,901195,-1,-1,-1,228927,606957,936151,-1,167024,-1,-1,423765,608479,972091,412906,-1,656965,-1,721815,-1,-1,225286,245192,-1,-1,605314,-1,-1,-1,-1,688456,207857,-1,31215,-1,444527,254233,38423,-1,410307,-1,-1,461240,-1,996484,-1,206390,-1,130739,290826,-1,364297,62643,947958,-1,295342,-1,-1,-1,240967,782430,321751,-1,-1,371419,-1,93441,909570,-1,-1,-1,934153,-1,984142,-1,648833,525719,912794,-1,801611,-1,-1,500614,32909,512946,891997,-1,750418,61692,-1,491479,-1,-1,32901,693694,639014,-1,-1,988572,150554,-1,838016,560683,-1,740433,291229,294154,-1,354422,-1,278938,-1,909899,379884,-1,78277,-1,37984,-1,721123,-1,-1,609081,782466,278882,-1,-1,-1,-1,96988,-1,-1,919040,710948,-1,629898,-1,-1,-1,-1,-1,-1,100838,-1,524897,-1,-1,-1,12408,-1,911124,-1,-1,180617,-1,-1,842616,139352,780426,-1,-1,-1,877157,117706,-1,822669,-1,126639,-1,873766,353450,63218,-1,366,497664,658791,764441,-1,-1,27670,522027,794161,-1,102207,809235,-1,-1,823330,260070,-1,697664,513421,587097,-1,-1,-1,446116,874225,-1,399704,600691,-1,-1,-1,172399,508195,300104,596956,142970,-1,-1,617006,593675,-1,-1,-1,-1,922151,892854,-1,947536,382765,66527,716724,-1,558799,791605,439682,591945,-1,-1,-1,199536,632847,397023,678327,419494,-1,184391,-1,615438,575452,935028,-1,-1,694009,-1,-1,786185,666719,310918,-1,526144,-1,-1,218829,749793,-1,312473,-1,337380,-1,517279,-1,635838,677944,-1,895284,734674,332797,-1,6766,458037,-1,-1,-1,905801,960922,-1,-1,-1,592842,-1,-1,484439,575784,-1,186138,-1,-1,944699,204276,-1,-1,151149,478110,77604,-1,-1,-1,-1,-1,724483,582405,-1,-1,-1,293381,492372,699238,515220,-1,-1,966369,-1,-1,745020,-1,484461,714598,-1,-1,-1,-1,34227,422375,973499,-1,742259,-1,-1,-1,637323,-1,-1,-1,-1,-1,921347,-1,-1,-1,605447,-1,85563,-1,490805,872373,-1,48643,-1,798473,7686,-1,-1,682805,871855,339578,179243,-1,739997,379696,-1,-1,982211,978830,-1,-1,-1,-1,-1,728468,-1,814216,615085,995417,868868,-1,220388,549140,-1,-1,-1,-1,487595,-1,170487,39780,-1,-1,-1,11445,348715,486416,207528,-1,16719,286858,-1,-1,-1,-1,-1,279482,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,728374,167343,-1,-1,103664,448937,-1,-1,1826,-1,-1,-1,76383,-1,-1,-1,190930,-1,-1,-1,558857,422413,-1,930887,-1,519572,582459,-1,-1,-1,255678,566600,-1,-1,-1,-1,-1,-1,-1,-1,529467,102779,-1,-1,437296,-1,-1,579476,259086,582000,445469,813630,143416,41284,983008,-1,140509,-1,-1,-1,-1,-1,-1,898337,788355,-1,-1,837211,-1,748004,478936,363,-1,-1,236175,516147,-1,844104,328892,803072,-1,-1,788323,978148,480748,840820,847688,980511,-1,-1,-1,189595,679805,-1,-1,-1,-1,17874,933701,251490,446848,492454,-1,218290,233212,-1,798257,-1,651215,279831,-1,687197,35882,-1,-1,-1,655930,-1,-1,718667,526443,852765,-1,201026,-1,-1,-1,-1,656339,-1,-1,-1,490693,976226,905217,-1,-1,821358,-1,-1,-1,584521,-1,193150,442561,113415,-1,-1,485864,-1,440415,-1,-1,722034,439385,249840,-1,899092,17112,-1,110057,606713,-1,-1,-1,372873,230333,6175,-1,152804,5628,-1,-1,798031,-1,-1,-1,-1,261336,-1,701296,-1,831531,660843,-1,364337,466251,668535,964663,45675,416823,-1,-1,2802,599229,138744,574073,582649,-1,905280,-1,-1,-1,109813,590383,-1,314173,-1,-1,-1,-1,923871,439176,-1,-1,583908,376857,-1,88036,-1,97530,-1,865650,-1,-1,-1,122453,-1,330262,-1,-1,-1,127646,-1,-1,137035,-1,-1,-1,-1,268912,885518,135008,731728,793073,302945,-1,-1,-1,834818,-1,511482,766214,-1,391740,237691,-1,814194,664728,-1,677077,-1,808998,-1,536617,-1,-1,-1,-1,305137,-1,657984,-1,879756,575652,-1,-1,-1,524291,-1,792032,490922,-1,-1,-1,-1,-1,-1,-1,-1,327931,-1,-1,804507,-1,-1,-1,-1,-1,-1,-1,182700,24124,-1,-1,-1,-1,-1,-1,811298,657724,-1,-1,-1,64153,24483,814063,779006,253969,-1,28885,963989,-1,-1,957244,-1,401119,-1,870085,512972,-1,906282,512834,-1,525165,-1,-1,-1,-1,228435,-1,69066,154360,320170,-1,-1,73367,562322,743392,-1,487019,792365,520063,675608,90519,-1,744632,675103,317870,-1,-1,607723,115335,-1,195003,-1,947592,-1,363856,659332,276154,-1,981069,-1,5397,-1,538213,515037,-1,-1,-1,-1,873439,-1,510636,20749,-1,-1,-1,-1,-1,-1,863334,146243,-1,569810,-1,542065,-1,-1,-1,280530,-1,145007,179046,392631,167533,853346,-1,-1,-1,939908,-1,653208,276808,411969,-1,431537,-1,598762,188707,-1,-1,-1,-1,-1,281068,983585,746634,-1,-1,216849,-1,460467,853424,-1,305905,-1,422288,116693,587495,-1,141869,309145,911464,-1,-1,-1,-1,-1,-1,-1,-1,-1,307299,762846,-1,49947,-1,153205,-1,513966,-1,886232,-1,-1,675482,935793,460203,733226,249605,-1,483691,-1,-1,396347,-1,-1,212539,-1,537296,-1,-1,-1,526505,677445,335556,-1,724446,-1,700078,888426,722857,-1,101481,-1,-1,802811,243681,452938,548430,-1,426873,327727,-1,858053,94444,33648,900559,-1,-1,-1,453542,-1,-1,-1,-1,-1,-1,691821,575309,418829,325941,591786,-1,381482,548368,487797,-1,-1,-1,-1,-1,-1,957889,348119,-1,347994,64016,395106,62234,-1,-1,-1,480314,451300,-1,527415,421173,-1,849998,-1,994840,201931,52287,786008,-1,495000,119700,800949,679363,-1,-1,-1,-1,-1,-1,-1,926514,-1,592852,797973,-1,-1,941679,161028,496771,800141,477416,-1,-1,535444,804629,-1,-1,-1,-1,980413,-1,256834,262415,839844,202659,315734,-1,-1,-1,-1,176782,-1,284432,-1,195347,673335,-1,-1,880423,-1,657889,768914,-1,797833,-1,-1,540334,986593,680605,191976,136785,798947,-1,590897,-1,-1,-1,-1,-1,-1,-1,234491,964853,-1,-1,926376,499550,-1,561287,28287,-1,709218,-1,955016,398175,809510,864203,-1,-1,-1,977564,529825,-1,157493,-1,-1,395997,2361,-1,-1,330296,518777,-1,952,957378,318814,-1,-1,-1,801496,-1,432426,-1,-1,335311,-1,478077,307287,940308,-1,245818,86091,-1,-1,943548,-1,812646,626501,-1,-1,253059,393900,-1,-1,-1,270636,982709,-1,375572,877968,90385,778936,-1,-1,-1,-1,71751,754942,-1,-1,422329,326779,35148,-1,325450,-1,822721,100174,362963,-1,-1,-1,425043,-1,653663,208770,-1,-1,-1,-1,-1,-1,-1,-1,-1,105357,459491,-1,-1,127312,656772,-1,-1,-1,899888,90863,90869,-1,-1,-1,-1,516822,-1,-1,487901,504236,242871,447091,-1,-1,-1,-1,-1,-1,962642,-1,-1,664393,833546,-1,-1,-1,-1,-1,-1,489912,220831,236967,-1,-1,64340,55936,-1,452465,213064,-1,-1,-1,-1,-1,942389,517195,-1,507238,836213,-1,392515,356623,406321,821769,-1,-1,649407,391843,344264,-1,268126,654496,605542,611273,-1,706520,678589,367722,531207,-1,-1,751104,-1,-1,-1,851159,152045,-1,-1,50075,-1,827932,-1,696874,551975,-1,-1,-1,562453,677421,542507,-1,-1,-1,-1,856094,-1,400507,439589,350710,-1,-1,-1,434046,-1,-1,-1,-1,224977,456473,720721,-1,42986,-1,75315,-1,-1,-1,-1,810301,693055,-1,-1,951168,128747,782448,423657,-1,392685,931765,-1,284744,557827,480381,992496,488647,-1,668590,-1,80369,84493,21010,584736,-1,705151,731274,234614,337224,-1,-1,840155,146262,-1,-1,460730,-1,792245,169191,-1,-1,970371,134876,922939,-1,733223,-1,-1,-1,845652,-1,469594,562743,-1,-1,177948,985567,-1,-1,249017,149054,915750,-1,64638,-1,464759,-1,-1,-1,211673,-1,863462,-1,-1,-1,903544,-1,386035,-1,-1,245270,99628,-1,304736,-1,-1,911084,-1,881304,-1,-1,-1,-1,-1,-1,102635,642118,966173,424360,-1,-1,102280,-1,862443,240106,-1,659595,500538,-1,-1,-1,-1,953553,-1,-1,186478,-1,-1,359934,-1,537093,-1,-1,49547,-1,591349,711932,-1,-1,444366,-1,-1,755498,-1,-1,-1,523058,-1,-1,-1,836625,-1,-1,-1,51757,-1,904261,657052,266343,281741,888596,-1,935993,503080,4260,-1,857702,228680,142902,-1,854077,179265,-1,343744,362812,727807,-1,445648,790163,-1,800204,-1,961899,-1,173150,-1,959892,-1,-1,-1,-1,968544,793520,-1,706339,675233,-1,308721,368677,977677,340765,-1,-1,752998,366726,352200,499765,414701,-1,721561,971023,-1,-1,-1,633005,926661,607465,148615,626783,-1,-1,445678,110762,-1,-1,-1,348884,-1,-1,224777,804590,281535,-1,843861,-1,833340,-1,697651,-1,-1,-1,810099,961737,-1,14357,112298,8637,329035,454399,965465,-1,889268,285998,645460,-1,425598,224504,-1,278277,26931,858055,129311,996394,-1,-1,163589,-1,-1,432390,-1,594225,-1,300898,452802,-1,376594,913644,690756,-1,-1,-1,-1,-1,890151,484862,311856,938495,-1,-1,-1,-1,-1,46795,575980,594193,839743,756961,828466,-1,-1,-1,308034,920647,340809,87031,764454,-1,835266,-1,742109,-1,579943,-1,-1,433903,758435,219507,503075,58671,-1,-1,-1,66455,-1,761801,-1,658027,-1,786397,13878,857981,-1,341799,414994,-1,-1,-1,-1,939132,910535,349429,465179,-1,234410,883937,-1,170123,155668,208918,460218,-1,239404,878718,-1,-1,-1,856181,988771,342699,329244,-1,-1,-1,279301,-1,897950,-1,770346,731114,49911,-1,-1,-1,919010,-1,-1,833496,205281,-1,-1,444669,-1,527849,-1,-1,-1,273775,584190,-1,870348,627665,-1,-1,829626,636234,-1,165281,-1,576159,37745,-1,-1,751917,881224,237561,666799,563867,90053,-1,545236,-1,955368,-1,-1,608025,-1,-1,-1,-1,-1,252099,887754,-1,-1,419633,419264,-1,-1,-1,-1,-1,48432,618051,-1,-1,348138,-1,740594,-1,-1,-1,922385,-1,609604,630496,-1,-1,-1,-1,493054,-1,-1,-1,-1,933781,-1,-1,-1,-1,389944,111411,800008,-1,408778,-1,-1,-1,720870,188446,542459,571957,-1,-1,643157,-1,874849,28422,671799,-1,62982,726973,-1,688509,-1,177716,900619,-1,-1,186218,-1,-1,-1,900233,-1,-1,264536,-1,-1,-1,-1,425194,-1,661476,-1,855378,725930,-1,707020,-1,416164,-1,-1,-1,582848,484903,-1,-1,690702,-1,-1,-1,783741,826899,-1,673417,-1,-1,644291,951654,-1,425482,236842,-1,917159,616054,421327,969918,-1,549329,-1,246862,-1,88125,-1,-1,-1,580779,-1,-1,973687,-1,408792,-1,-1,-1,-1,-1,-1,187165,310104,58613,632510,-1,-1,257107,-1,-1,-1,558121,635890,-1,-1,554625,-1,-1,-1,-1,-1,-1,655747,874080,-1,-1,215302,-1,-1,-1,856504,-1,-1,-1,-1,488743,-1,406263,480666,689954,589179,937278,618977,614288,291622,552777,343590,531771,639536,800411,-1,-1,291593,325840,409118,-1,396058,459410,-1,702094,-1,25056,-1,431250,950918,665663,211661,525485,349836,-1,929513,-1,-1,-1,-1,845895,199890,-1,998968,387366,-1,990970,-1,-1,-1,-1,-1,-1,444003,737096,-1,789783,-1,780504,757849,320713,165502,603426,-1,309631,330956,156584,-1,-1,414893,197678,-1,522780,399882,771673,-1,881131,-1,-1,-1,663099,-1,-1,-1,-1,-1,595040,768639,-1,-1,-1,450230,-1,267525,23018,146317,-1,732652,-1,277777,416064,-1,-1,-1,385324,-1,24778,-1,979935,872096,-1,-1,-1,-1,982350,654668,421163,299028,-1,-1,-1,778481,-1,281595,-1,-1,710233,903833,99660,-1,-1,190406,973250,629192,294835,399055,604927,854882,421956,-1,-1,326371,362446,576739,767025,772303,573589,-1,-1,21155,-1,-1,394008,-1,378500,-1,-1,329045,769053,-1,-1,299363,361593,491696,-1,-1,118832,-1,-1,776830,752447,430131,419922,-1,-1,-1,899767,235399,204824,899839,552184,880967,529144,-1,-1,-1,192193,-1,582261,257665,-1,653810,-1,-1,658452,-1,46697,-1,363225,988620,-1,-1,937126,4464,683703,642609,829087,-1,-1,556779,-1,906131,-1,268694,45216,-1,57188,606927,121948,-1,-1,983900,-1,629852,-1,148492,913427,929536,844110,-1,-1,-1,-1,-1,577316,689740,660292,-1,189574,326676,29689,123253,-1,635152,-1,-1,-1,676834,151374,12439,-1,67731,980532,-1,-1,-1,-1,-1,162325,-1,-1,893382,-1,249772,-1,549932,696462,188293,-1,-1,773444,40550,-1,577419,952455,-1,187505,-1,-1,102823,-1,682343,842574,446003,-1,-1,-1,893611,106688,-1,-1,774957,-1,-1,871125,-1,570313,205443,-1,445466,-1,-1,32809,207708,-1,58497,779351,835080,-1,283821,537893,194100,-1,-1,482037,-1,-1,-1,706781,-1,911517,13624,298465,-1,-1,183186,-1,800644,515271,-1,-1,-1,-1,463911,-1,898920,324286,704749,443203,-1,976164,-1,-1,572209,535362,865148,866766,236584,69888,428377,646630,570748,901762,-1,-1,-1,818522,-1,-1,795583,410237,-1,858106,991261,-1,346549,-1,-1,-1,742643,701437,312855,-1,291126,86451,-1,542124,-1,292052,771301,835641,-1,-1,257190,-1,920494,795934,676929,-1,-1,360469,112100,989880,-1,754144,-1,168033,981170,-1,-1,32604,645079,205195,-1,597962,212004,769340,-1,-1,-1,-1,741977,480553,715132,-1,432976,482925,636320,110139,-1,-1,-1,-1,283409,-1,-1,-1,-1,951613,-1,-1,-1,867149,764629,-1,397952,463533,-1,667590,769819,796028,14040,-1,321620,-1,-1,-1,-1,655124,-1,-1,239847,287192,-1,937303,998038,881590,-1,278902,-1,-1,-1,74974,557421,-1,158206,448434,-1,333919,346386,508572,545910,276161,-1,731677,-1,-1,762142,294214,-1,134602,540739,-1,-1,784532,-1,-1,167822,-1,627291,-1,471969,738363,-1,-1,9518,-1,942327,-1,970766,-1,231172,560404,203222,373757,-1,-1,-1,679692,989186,-1,-1,-1,19757,-1,-1,506401,91132,179171,262348,-1,-1,-1,-1,-1,-1,-1,-1,330436,826836,-1,-1,-1,483391,149358,715357,-1,958621,-1,380322,305894,-1,127898,459191,559530,221512,-1,-1,-1,52144,-1,935420,158911,-1,557298,155376,-1,199839,-1,-1,-1,-1,333158,-1,11749,-1,206431,228026,-1,499556,-1,-1,-1,-1,-1,980982,392935,-1,-1,825358,629153,949983,161520,143801,-1,102595,-1,457178,-1,658453,912219,655995,706849,-1,-1,892921,153033,-1,-1,-1,-1,-1,-1,-1,854296,-1,551244,229931,-1,-1,-1,683458,-1,-1,-1,-1,522680,-1,-1,-1,-1,449662,-1,-1,339069,-1,-1,-1,251058,-1,-1,-1,862096,895061,-1,-1,674651,-1,111380,937418,-1,-1,-1,782369,264850,-1,154581,-1,-1,-1,892637,-1,-1,-1,-1,927673,-1,458428,-1,109386,-1,-1,420699,-1,391376,-1,69691,-1,-1,-1,-1,-1,-1,-1,-1,209394,74852,961011,-1,-1,830619,-1,289842,-1,-1,696772,-1,116423,-1,668745,-1,610332,176819,-1,-1,-1,-1,817381,218404,-1,47014,-1,-1,-1,-1,-1,-1,77520,-1,-1,739949,589843,412583,44516,-1,-1,-1,179052,-1,-1,593898,19434,-1,159001,-1,7707,-1,702806,-1,-1,495889,273287,112998,-1,-1,709347,869897,447438,985689,595054,-1,-1,72876,-1,-1,-1,-1,-1,85044,802627,-1,624159,-1,-1,-1,130917,324496,99742,-1,904423,928468,-1,547276,-1,156373,413488,-1,694597,-1,-1,-1,924569,588816,714150,-1,48779,178815,709402,957137,198510,-1,192523,-1,-1,-1,-1,-1,-1,-1,773297,-1,61619,859234,-1,-1,-1,464046,-1,-1,958698,-1,388860,74603,807130,-1,83108,863929,-1,-1,-1,391823,-1,195122,-1,294878,-1,-1,531276,969990,389816,762414,799158,236329,-1,-1,-1,-1,871840,-1,506336,773179,-1,88502,246387,-1,979335,-1,697801,-1,973823,766298,829275,712025,105641,554987,-1,-1,-1,864728,670340,764746,106022,554591,-1,-1,-1,-1,6893,50229,691626,-1,-1,-1,-1,478992,-1,-1,-1,-1,-1,-1,228621,646273,662801,150585,-1,195357,-1,754187,-1,636480,187359,-1,-1,878090,-1,177171,975819,-1,-1,-1,369933,-1,-1,301927,-1,-1,-1,-1,781914,594520,251044,-1,-1,-1,953845,-1,-1,858371,-1,-1,639630,140794,-1,-1,104437,730287,-1,-1,621270,-1,249000,-1,-1,476751,-1,281020,-1,814007,-1,-1,-1,335948,656814,443655,493045,-1,841248,499325,-1,-1,298856,-1,-1,-1,-1,-1,-1,948087,748371,-1,900737,678357,950785,480707,669366,553746,573455,295857,-1,-1,273095,-1,-1,607760,-1,-1,-1,-1,-1,-1,-1,620217,-1,-1,-1,522339,593798,-1,196788,310493,-1,8650,816574,-1,-1,-1,-1,747885,740484,641674,244262,-1,-1,936573,505192,662747,904089,-1,-1,-1,-1,-1,188295,-1,-1,125751,886078,-1,-1,-1,473662,-1,994128,-1,298659,780705,734585,-1,430353,583038,-1,-1,-1,-1,568668,33339,859684,-1,510490,-1,-1,-1,-1,-1,6091,114922,-1,252830,786227,-1,-1,-1,771207,246197,-1,233711,82126,-1,-1,512686,417970,-1,691701,982041,-1,374313,-1,620220,-1,33198,173472,-1,334762,331759,449622,862211,-1,-1,-1,480800,-1,-1,225768,-1,-1,-1,-1,-1,-1,-1,-1,-1,68175,-1,887198,-1,-1,102498,-1,395671,-1,-1,-1,710762,722759,100578,366342,-1,918782,-1,-1,765945,-1,788912,394335,376167,-1,185993,12315,-1,-1,-1,-1,-1,471652,841684,-1,867448,-1,197762,484431,877064,601051,893283,-1,-1,-1,-1,587801,-1,-1,-1,921451,989877,-1,-1,-1,-1,-1,66942,-1,-1,894022,-1,-1,-1,209317,-1,687849,-1,-1,-1,959628,515058,-1,530192,740297,-1,-1,-1,386222,444654,-1,696665,325419,-1,-1,-1,455650,944453,-1,11990,-1,-1,912850,-1,-1,-1,-1,352591,546158,977969,-1,-1,-1,-1,565802,-1,921485,111869,-1,-1,76744,401652,833346,-1,803507,854517,313138,971501,526923,985165,-1,739052,-1,998479,693979,-1,-1,-1,-1,63950,175520,-1,-1,947767,-1,775044,698914,-1,753926,-1,-1,-1,-1,780960,-1,-1,-1,-1,-1,-1,-1,-1,-1,962137,500008,546319,-1,-1,-1,-1,527519,-1,900959,226394,-1,-1,-1,-1,367926,22772,509823,-1,-1,120582,516385,-1,-1,-1,-1,-1,5233,-1,239481,-1,599185,554613,-1,578360,813754,35159,161544,690162,-1,224945,913673,558453,426722,297284,22185,-1,-1,496329,-1,-1,533738,-1,789052,186792,569716,626653,-1,387467,-1,726077,-1,459986,-1,-1,-1,930344,-1,886162,-1,-1,-1,998165,816963,-1,-1,-1,619499,-1,-1,-1,626102,209040,699764,-1,-1,960015,301681,656266,-1,649170,-1,-1,567289,930515,-1,-1,626503,-1,305017,51997,-1,144469,-1,760055,832725,-1,16665,17148,876308,314816,488076,39504,-1,-1,-1,-1,-1,-1,-1,532783,774034,-1,748029,-1,-1,773565,-1,735115,879417,-1,887815,-1,-1,308954,600633,-1,13148,-1,-1,978535,-1,-1,512694,-1,-1,-1,-1,81324,-1,-1,481070,-1,992281,-1,-1,863936,-1,-1,-1,-1,-1,-1,-1,-1,-1,235419,665185,-1,-1,88434,-1,-1,-1,720664,-1,-1,-1,-1,-1,983805,657132,220252,-1,609033,-1,629430,268360,-1,-1,886303,-1,631131,891568,877492,-1,926689,-1,958078,400185,-1,-1,-1,507920,419313,-1,-1,-1,515732,-1,-1,445273,946420,922430,-1,877244,-1,-1,-1,874609,441475,-1,343369,-1,700127,758153,93196,-1,-1,-1,339581,-1,-1,237983,-1,853295,502592,688059,-1,-1,-1,27159,570394,-1,-1,-1,-1,297718,-1,-1,305325,-1,-1,-1,689378,-1,-1,-1,382244,112408,-1,71077,-1,-1,652525,-1,-1,235667,800836,609918,993246,870360,-1,605991,-1,218966,812732,927311,80202,-1,739293,558529,-1,-1,388290,-1,-1,66183,-1,-1,-1,191379,-1,-1,641250,-1,-1,-1,251474,-1,-1,260788,-1,-1,-1,990766,969024,-1,-1,-1,147933,167230,-1,237573,44146,295992,-1,-1,157145,-1,94351,-1,-1,799216,683741,456997,-1,-1,736206,910450,354027,-1,927918,-1,-1,355843,757082,-1,587764,-1,906877,-1,676833,-1,-1,-1,393444,129611,888086,-1,-1,-1,-1,-1,114283,778913,-1,-1,219998,484420,-1,705543,-1,656582,-1,719939,904211,-1,853202,-1,-1,260851,-1,-1,-1,-1,274324,-1,8733,337084,-1,-1,735375,236924,62100,-1,19759,-1,-1,189110,185233,65712,139474,-1,-1,662645,347292,33231,207808,-1,-1,-1,-1,520803,-1,142617,-1,-1,400225,531146,-1,83289,-1,-1,-1,938503,-1,-1,-1,-1,-1,-1,985153,662065,990837,655636,-1,-1,580373,556242,668301,310601,-1,43217,448484,-1,-1,-1,791830,145666,-1,-1,-1,-1,421052,24075,247743,29569,743829,-1,-1,369109,-1,-1,-1,491650,611615,-1,850074,-1,526621,-1,-1,-1,479292,-1,-1,685753,-1,719462,207189,549916,-1,105289,630521,-1,209248,-1,-1,-1,776922,317935,-1,109011,975366,99484,907055,-1,305,368308,566482,-1,-1,-1,-1,520942,-1,504164,497637,-1,-1,-1,879700,287718,-1,-1,-1,605328,379806,412109,727617,-1,-1,429408,-1,607128,707817,-1,-1,992243,-1,-1,797932,-1,-1,845314,-1,840613,-1,654146,-1,-1,-1,264921,360301,-1,667401,-1,-1,121020,-1,627161,348934,891944,-1,107521,-1,469639,-1,-1,338987,-1,-1,-1,602357,594159,-1,-1,-1,246911,-1,-1,324620,-1,71579,-1,-1,-1,-1,168442,-1,-1,-1,-1,-1,-1,213849,136826,104102,920045,-1,-1,-1,274181,-1,-1,42482,-1,-1,579882,87247,-1,-1,-1,-1,-1,397298,289464,-1,-1,127927,588936,-1,846979,-1,-1,342139,-1,-1,214886,133990,787495,-1,-1,-1,248460,-1,-1,-1,675537,326245,249090,-1,277807,-1,-1,-1,540698,154165,-1,774986,193864,810450,864547,586556,-1,-1,590685,543395,-1,-1,837361,295122,-1,-1,900197,-1,-1,-1,-1,-1,647635,289428,342959,-1,662871,-1,145685,-1,-1,-1,774780,-1,471369,914156,-1,-1,-1,-1,423638,-1,-1,806381,932941,939925,-1,820186,987221,-1,10517,177341,-1,114692,848808,-1,-1,-1,220758,-1,-1,591616,421707,-1,-1,241792,91192,281754,-1,513954,-1,-1,103028,-1,-1,269302,-1,902962,-1,432222,31103,-1,-1,118656,-1,-1,951749,95787,-1,-1,-1,-1,17253,66365,202471,-1,-1,-1,-1,-1,-1,-1,-1,864094,140716,-1,-1,-1,649818,141670,-1,-1,-1,826613,-1,85547,76036,899255,602001,-1,446038,-1,516888,368792,619570,689669,-1,811845,-1,-1,-1,-1,350764,301274,-1,-1,563343,536038,847074,-1,-1,387519,513236,-1,-1,-1,-1,-1,125101,946386,48164,-1,743797,488286,-1,-1,110680,-1,-1,-1,100329,266932,473647,-1,-1,-1,-1,435570,-1,-1,-1,-1,703098,83301,-1,533189,88427,169782,-1,560001,-1,591101,497771,-1,-1,-1,986881,343969,165771,591791,-1,-1,975791,436293,-1,952726,-1,843571,-1,-1,-1,-1,-1,-1,-1,31652,-1,-1,929059,321649,-1,503485,50615,650698,-1,-1,-1,605077,323510,995665,946130,338818,938231,791639,801440,-1,733024,571096,505136,-1,-1,-1,-1,-1,838137,912522,-1,-1,890116,-1,-1,-1,-1,-1,-1,169818,-1,-1,139946,818637,-1,-1,-1,277804,713137,-1,-1,-1,-1,108856,-1,144915,691565,50617,491389,-1,-1,173596,-1,-1,-1,-1,-1,890564,211745,-1,-1,-1,489445,758079,-1,-1,720680,253526,127671,373699,482385,916440,354971,173199,-1,-1,-1,-1,169607,-1,-1,814310,-1,925275,797453,876837,-1,776221,-1,-1,553651,-1,736929,-1,352442,-1,665657,613555,-1,646909,432118,914662,-1,-1,192762,511243,-1,189350,338076,536461,-1,291082,784450,-1,-1,-1,567529,-1,-1,135283,-1,543945,-1,684580,663484,121880,-1,130991,-1,668100,-1,-1,-1,-1,169152,-1,512296,301282,203822,859463,336362,882004,-1,52132,-1,933732,-1,-1,11748,935376,-1,875228,-1,492061,291730,657640,-1,141749,-1,244993,-1,-1,-1,-1,-1,866741,-1,-1,60545,119131,935721,484438,-1,-1,358604,642828,455099,168115,-1,-1,698082,700093,8969,973928,72667,-1,-1,-1,-1,447941,-1,-1,-1,968040,938690,-1,824119,212224,416752,358081,-1,-1,278838,513040,-1,-1,-1,595725,-1,-1,822510,-1,616200,-1,267024,-1,144709,495080,-1,-1,916139,-1,-1,459071,896634,-1,-1,85359,350239,187998,-1,695016,908711,148635,-1,-1,181572,616963,320374,801306,182132,-1,-1,231210,-1,967179,-1,48085,330586,831251,-1,49424,-1,-1,-1,-1,-1,540723,528480,862711,105009,579009,-1,-1,-1,-1,90157,863546,950363,307273,530363,398253,472632,-1,-1,-1,-1,-1,-1,57960,-1,1124,-1,-1,-1,-1,-1,272631,-1,339457,-1,-1,447806,-1,843754,228859,417699,-1,-1,137627,717751,48051,-1,530471,-1,-1,424860,173127,-1,-1,46604,-1,33501,823834,-1,159471,-1,394270,-1,-1,593537,-1,-1,-1,871569,599061,-1,68968,269076,259726,-1,-1,115635,640302,977814,-1,378032,-1,-1,229408,54619,-1,419974,834262,-1,414035,-1,-1,-1,-1,-1,781794,-1,294841,-1,488294,723425,217499,-1,396993,-1,-1,-1,-1,727381,-1,909663,750228,590610,471426,681493,-1,-1,-1,939221,533885,-1,-1,415293,-1,628260,965797,46655,283989,-1,-1,307389,-1,20255,950943,-1,29890,290493,-1,-1,-1,-1,214264,-1,-1,-1,957299,-1,-1,933428,-1,-1,-1,851180,-1,668985,906542,910983,-1,-1,-1,497305,722023,-1,-1,150726,-1,-1,152502,-1,238815,-1,-1,287965,-1,168005,-1,133445,-1,408758,-1,-1,-1,433551,-1,914607,267722,177248,-1,24842,-1,451742,393734,-1,963668,350132,-1,-1,454900,814315,112327,599833,-1,57896,711111,-1,-1,-1,-1,813866,644363,894095,-1,-1,-1,-1,646350,764427,351482,3044,966361,-1,-1,-1,-1,141431,-1,-1,-1,289230,-1,198933,183237,950285,490815,791873,-1,-1,-1,917628,-1,-1,-1,-1,342733,962691,-1,498135,-1,985438,791533,-1,-1,461279,689767,-1,-1,351465,941796,840510,-1,934750,413314,832515,132623,403848,422848,234627,64114,-1,265533,-1,-1,-1,-1,-1,146702,-1,-1,95638,504488,689385,-1,33241,462031,63781,-1,-1,236136,-1,709320,374544,-1,-1,-1,-1,-1,-1,24279,808763,260988,404291,891373,298452,986160,-1,-1,216740,-1,55311,524659,515565,-1,834472,814084,610867,19564,-1,989854,-1,-1,804678,-1,-1,726890,52570,-1,317949,-1,814536,-1,463370,266677,-1,46810,-1,209980,-1,620891,-1,918856,756233,732172,-1,929327,589148,367956,-1,156425,62352,230279,447680,-1,-1,-1,361680,-1,-1,-1,232301,725248,433247,-1,-1,-1,-1,-1,659933,321485,770583,-1,-1,914963,515494,412961,321267,991001,952819,-1,795965,-1,-1,718406,63190,-1,222106,418811,747337,231947,-1,349997,279692,-1,-1,431509,-1,-1,95774,-1,-1,241392,-1,848521,-1,-1,319098,-1,-1,27451,3339,852941,-1,515012,163285,511733,-1,827913,213751,-1,-1,535183,-1,-1,-1,-1,720543,-1,-1,369170,-1,349939,577348,-1,-1,711572,-1,-1,-1,343114,-1,293076,-1,-1,-1,869754,952489,886893,-1,161641,-1,880604,545521,478999,-1,-1,-1,-1,394873,-1,590135,-1,-1,732325,-1,-1,-1,252588,-1,-1,-1,-1,465972,72832,-1,266404,-1,891458,-1,464281,126332,-1,-1,-1,971081,-1,653998,84994,-1,-1,-1,675396,439150,-1,-1,783126,877187,517766,707361,-1,-1,952373,-1,873962,691010,706336,-1,126534,486875,481648,-1,-1,198724,-1,478116,251018,-1,856152,471194,-1,9911,822747,42956,650201,136248,502437,967988,-1,57634,-1,-1,-1,89366,-1,-1,564141,194782,-1,-1,-1,306292,592119,-1,485926,-1,447366,992396,-1,-1,303467,-1,18080,-1,736866,473109,-1,-1,71859,894705,502502,-1,-1,-1,861747,310033,173972,513006,508002,-1,-1,639712,622329,780529,-1,-1,75981,241248,298049,19190,-1,-1,201972,-1,70144,134001,-1,-1,433530,287090,27818,940161,27553,-1,402545,-1,-1,-1,-1,-1,-1,-1,235046,814436,189085,314434,-1,-1,-1,-1,-1,-1,563935,641897,-1,-1,282247,264574,572284,-1,137947,314611,110530,-1,840685,212199,10769,935677,-1,-1,-1,818394,-1,639637,-1,-1,-1,-1,-1,430791,431557,-1,550779,596415,795087,-1,-1,183751,426329,-1,969421,130660,629859,191228,-1,6095,156847,-1,-1,-1,233530,-1,-1,653146,-1,-1,-1,-1,-1,283289,-1,211384,532707,-1,54030,533135,-1,233828,938942,-1,377924,420726,486033,-1,946626,-1,-1,372777,-1,-1,-1,718582,-1,-1,-1,513986,843401,864384,292119,-1,-1,595141,154180,-1,607930,-1,-1,-1,957921,-1,-1,590179,174660,-1,-1,817247,375128,977573,364005,-1,299785,-1,-1,-1,843194,444267,-1,613814,-1,369368,818334,51250,-1,997070,350119,311421,185773,-1,-1,414537,-1,-1,403471,235585,-1,-1,272317,518523,-1,-1,-1,-1,284980,-1,-1,113323,-1,-1,121588,-1,-1,-1,-1,-1,877042,-1,-1,-1,-1,-1,-1,452042,147065,-1,-1,157225,-1,-1,794785,684738,671601,-1,-1,392104,929168,967693,482050,211810,271292,1910,-1,818271,304707,910469,-1,-1,-1,504527,204161,145449,339746,-1,-1,-1,-1,-1,-1,11277,486161,-1,866923,367763,-1,-1,-1,97993,-1,-1,985296,-1,227558,-1,772096,-1,-1,331067,129694,68461,-1,62074,-1,-1,-1,875088,627807,986902,-1,662764,-1,659338,-1,202844,539566,-1,28210,692440,995463,-1,-1,754747,-1,369590,169456,-1,80317,-1,165347,500017,-1,721434,-1,-1,-1,-1,727955,-1,-1,539552,862177,-1,590735,-1,-1,-1,88565,-1,-1,-1,-1,-1,132245,50855,-1,-1,819238,-1,790335,31120,611230,885786,59893,-1,-1,783587,-1,724691,-1,-1,721312,-1,349962,-1,-1,647524,-1,-1,-1,947799,-1,-1,-1,772707,-1,828552,411416,507023,-1,408514,-1,-1,876542,-1,-1,-1,-1,-1,332677,-1,673654,853153,-1,861366,-1,-1,-1,-1,837053,-1,417178,574799,158096,138952,-1,895793,-1,-1,-1,841897,-1,-1,160952,-1,-1,221863,332617,572500,609979,686136,-1,373404,354796,192162,212332,-1,-1,497444,-1,-1,-1,-1,-1,-1,-1,-1,491644,-1,502112,71727,31970,989120,690047,-1,-1,832973,-1,-1,-1,702017,926525,605590,-1,752906,974887,606407,-1,268903,-1,-1,655597,-1,863946,723239,-1,57765,-1,-1,549660,-1,-1,-1,955647,-1,926600,-1,519188,266531,113055,738818,-1,-1,156980,878030,-1,958779,353917,-1,350094,493743,-1,224091,239820,-1,-1,-1,-1,-1,734835,-1,516495,797872,373750,-1,706018,-1,-1,727695,-1,-1,472411,976704,408947,130103,-1,937626,542791,65008,-1,721939,652979,-1,-1,326046,659675,-1,-1,220148,-1,731663,-1,-1,365630,240091,367260,-1,-1,373933,964640,952417,623303,-1,179764,-1,672962,965544,-1,513337,764860,44218,-1,-1,-1,-1,-1,538420,-1,624702,241804,234903,-1,-1,473680,697993,307807,-1,-1,987045,902948,-1,852839,-1,-1,-1,456784,574326,713894,-1,246084,220313,-1,-1,-1,888409,560214,591182,-1,432874,658311,-1,-1,797491,112681,-1,221964,-1,905359,74279,672996,65106,-1,19582,-1,-1,-1,603814,988523,-1,351020,881897,-1,313208,-1,599262,629612,-1,-1,522325,-1,382619,320265,-1,-1,346460,-1,-1,303869,-1,-1,-1,-1,-1,665031,986385,778606,-1,459887,-1,-1,114089,-1,-1,534765,577457,639944,315749,-1,-1,-1,-1,129021,688485,584187,-1,-1,527668,-1,-1,383059,322108,-1,433466,-1,-1,149806,-1,-1,471178,448999,-1,-1,204052,-1,656774,-1,68344,641891,769973,-1,384238,447255,-1,960957,-1,821878,779897,291198,372581,-1,756241,-1,70592,642821,-1,-1,774122,-1,448651,465715,319172,334571,67498,711548,-1,-1,-1,-1,-1,389847,-1,203722,159169,-1,217592,848613,801176,454221,21772,629935,297599,923635,-1,894963,-1,-1,821548,451999,-1,925232,661466,720468,-1,-1,-1,-1,-1,356930,325638,67842,137300,-1,943026,969083,699716,-1,354323,-1,989938,501260,347886,38097,836621,-1,-1,56185,-1,-1,-1,318549,722143,-1,689337,125174,-1,327218,-1,371668,-1,863299,-1,145466,-1,-1,-1,-1,872263,-1,-1,410346,-1,-1,567556,-1,89540,179817,-1,-1,-1,-1,642015,-1,-1,774280,-1,156456,210556,682859,-1,-1,318191,335883,-1,-1,-1,-1,-1,-1,-1,280438,857569,412618,-1,268031,270181,-1,-1,-1,-1,706842,-1,-1,-1,-1,699653,5794,402622,-1,-1,-1,702316,-1,497274,-1,116024,-1,990893,546180,22219,875629,-1,448980,-1,-1,-1,-1,-1,44012,817336,945807,836685,211964,875632,-1,-1,-1,674200,-1,547131,755933,-1,-1,-1,-1,-1,-1,812264,207307,27673,401171,-1,164169,300945,-1,513206,-1,-1,664412,-1,-1,-1,-1,-1,-1,386764,258167,-1,248334,-1,-1,506262,985230,99296,356841,-1,-1,429240,-1,151781,429827,-1,341935,-1,443987,303531,968907,237130,-1,974329,-1,13909,481844,-1,112805,-1,27870,594394,-1,888784,-1,702239,-1,-1,-1,-1,-1,-1,471010,-1,136331,688762,-1,27685,307698,-1,-1,497987,96307,-1,712914,-1,-1,701862,-1,-1,-1,549628,386732,890867,-1,-1,-1,727386,160834,373500,440228,-1,-1,-1,-1,574542,25010,-1,101538,-1,503280,277438,-1,618057,-1,-1,122303,-1,-1,-1,-1,371865,459446,887125,-1,-1,775418,-1,217292,-1,803960,-1,892195,-1,-1,-1,912366,-1,771160,-1,-1,-1,429812,698594,-1,962227,439270,942427,405981,-1,162914,-1,384219,990599,501440,-1,-1,342092,16706,-1,325790,-1,-1,-1,-1,-1,731695,253917,-1,-1,567604,-1,390459,143599,-1,-1,-1,-1,648926,686454,884897,317184,-1,-1,-1,23945,-1,-1,-1,304528,886641,-1,-1,649158,667317,-1,-1,-1,-1,-1,262152,605072,-1,129476,-1,-1,-1,836307,-1,-1,-1,-1,271365,37492,955894,-1,998959,-1,-1,-1,727012,342829,-1,-1,-1,849364,539264,154144,680002,-1,567496,168102,232081,-1,474944,-1,-1,813254,-1,697324,380062,607070,-1,-1,-1,871598,-1,482145,-1,-1,-1,-1,-1,489730,-1,221975,-1,-1,548180,875529,549977,788227,759297,320988,-1,424364,-1,-1,287366,-1,-1,-1,858915,-1,-1,998169,-1,-1,929747,-1,55400,-1,469196,-1,968601,-1,572337,-1,-1,-1,725219,702902,672579,537396,-1,-1,204703,136810,934063,244994,989012,357940,285527,628226,-1,-1,-1,-1,655776,973028,123030,-1,-1,767772,256146,-1,-1,467741,-1,343172,877272,767579,936429,-1,-1,-1,928709,444187,-1,893297,504334,274995,-1,566111,-1,935044,799528,-1,-1,-1,30813,-1,330385,-1,182075,792943,-1,-1,840698,-1,-1,837758,-1,-1,535141,-1,-1,-1,-1,-1,-1,-1,-1,568613,320591,-1,13575,635604,-1,-1,147312,759737,-1,816066,-1,-1,302205,-1,285436,-1,-1,300558,-1,-1,-1,-1,591301,-1,-1,3715,964080,614885,703137,396123,-1,-1,-1,617072,-1,672066,-1,301541,943729,-1,415495,-1,266714,201491,201272,397775,-1,69612,738150,-1,-1,168673,509667,282424,-1,890728,12922,832245,-1,448895,-1,-1,-1,816735,184171,-1,-1,896953,-1,370470,975310,849592,-1,904703,-1,-1,310497,-1,-1,181059,645914,-1,-1,12805,-1,-1,852578,90814,-1,-1,-1,509610,576505,-1,-1,-1,84053,467861,442221,821402,-1,415029,141449,-1,-1,586674,344207,157150,917378,-1,-1,818880,682638,-1,287307,-1,629199,566932,-1,-1,381338,354225,711648,-1,-1,-1,314271,202352,324348,-1,-1,-1,78556,760127,373841,239284,-1,310496,-1,-1,276302,-1,534072,146017,703914,-1,-1,310987,826549,776588,472056,-1,587055,851465,574306,985777,-1,664912,-1,840022,576454,-1,-1,694424,528165,-1,993845,-1,630326,609750,-1,147651,-1,899006,496191,-1,487752,455279,621574,-1,632243,278771,166122,552280,-1,-1,255393,-1,638107,425752,9122,-1,962951,403955,336170,257768,-1,316957,710694,105362,-1,-1,-1,-1,549323,609817,-1,912835,489016,830273,-1,-1,-1,165479,96076,788921,546774,195338,389474,737123,558101,-1,740819,-1,107432,-1,-1,-1,-1,741825,-1,331594,886190,-1,-1,882133,-1,-1,-1,997925,800588,-1,683182,-1,-1,-1,209683,46607,122407,48093,-1,833567,979051,-1,-1,213299,-1,155933,-1,-1,-1,61632,-1,-1,-1,346199,124917,27507,-1,914860,-1,-1,-1,-1,-1,407272,81895,-1,-1,-1,-1,-1,161214,-1,586388,-1,660511,91169,-1,102130,-1,771015,491322,-1,-1,-1,579530,-1,-1,-1,-1,206750,191622,-1,-1,-1,-1,-1,865583,653548,-1,-1,-1,28477,799299,706780,-1,207664,-1,-1,501698,-1,-1,-1,788718,516297,-1,112817,577262,322652,957203,-1,-1,680872,389871,-1,-1,382218,160515,296906,-1,-1,-1,615151,139224,744348,503787,289803,925213,697762,-1,-1,157321,-1,863618,994375,-1,542310,540550,235319,-1,-1,-1,-1,-1,-1,608937,447135,821296,284998,363456,-1,926635,856909,798438,-1,-1,471842,-1,572865,-1,261268,-1,471910,-1,241609,625393,901511,-1,805014,328008,-1,488641,730559,583314,157182,-1,30627,-1,150665,481387,153314,-1,99370,598016,-1,57721,-1,-1,282163,117367,488086,-1,424832,905058,19233,-1,182893,-1,747531,550964,-1,396466,-1,703006,183172,-1,-1,-1,806301,199286,-1,-1,-1,467087,-1,400976,-1,-1,-1,915797,98400,322774,-1,28638,-1,916772,-1,-1,281760,254023,4776,-1,-1,11596,171026,786344,-1,-1,-1,-1,-1,133510,290060,110007,-1,-1,110173,531974,596763,-1,-1,-1,587672,997751,536914,457167,-1,481678,-1,811976,-1,459549,-1,282486,356866,-1,-1,404016,87347,-1,-1,191636,51184,-1,335280,364535,-1,-1,-1,-1,153107,-1,-1,807258,743862,312087,192230,274999,158036,845437,557669,-1,793979,265335,-1,554077,-1,750855,-1,318339,-1,-1,-1,192089,-1,-1,-1,25034,912470,-1,-1,-1,-1,230409,-1,84096,-1,186693,295541,117004,-1,-1,-1,17048,704299,-1,-1,502559,125897,822356,57069,-1,107256,-1,-1,693364,-1,-1,-1,-1,967368,468945,764281,190354,67541,-1,587543,-1,-1,-1,498670,-1,-1,612682,-1,535184,-1,303001,895271,372295,-1,766780,-1,-1,209180,969218,-1,859831,121761,615338,82460,983486,-1,-1,-1,140965,-1,406958,777547,650866,483881,-1,445483,-1,226461,524355,-1,-1,-1,-1,200847,101778,749975,-1,-1,-1,-1,475001,-1,-1,295168,-1,-1,427585,227997,-1,-1,569123,-1,52366,483366,-1,-1,-1,740975,209460,913435,416727,-1,242081,-1,-1,-1,-1,297062,-1,681829,-1,301367,-1,967133,-1,966185,-1,-1,347316,-1,-1,-1,-1,397771,-1,-1,-1,-1,-1,-1,360590,276883,344598,-1,-1,904742,-1,-1,817243,-1,-1,412060,-1,536072,-1,210859,626880,-1,-1,-1,-1,-1,357219,222657,166628,-1,950955,312048,-1,102702,-1,795741,-1,247537,-1,353504,985977,905833,673038,205032,492090,478620,576090,-1,-1,481917,209531,432755,258099,752540,-1,232811,-1,-1,789206,743632,-1,339839,-1,-1,391203,-1,-1,-1,868213,-1,-1,991532,-1,817864,-1,75083,773794,528997,430638,-1,567,-1,-1,280524,70268,-1,808361,-1,-1,-1,624548,-1,-1,-1,-1,342020,-1,53786,-1,-1,-1,-1,307802,287529,400406,-1,418738,-1,-1,-1,-1,76541,-1,-1,-1,-1,-1,-1,330345,163262,-1,-1,-1,132136,-1,827131,780534,829926,368962,489904,432449,-1,-1,614560,-1,-1,995138,-1,-1,-1,198588,44398,203625,-1,-1,752820,-1,-1,542158,-1,-1,-1,750726,831583,266479,-1,-1,-1,730002,-1,307076,-1,296009,-1,-1,-1,-1,-1,-1,-1,-1,152131,-1,294220,864309,61349,493711,-1,910173,716319,501602,41177,267984,-1,-1,847114,-1,668974,-1,20546,27975,362165,-1,684452,85959,-1,7539,697348,232385,-1,662591,651064,-1,-1,-1,-1,590048,144565,584299,-1,78382,-1,483785,578066,-1,-1,-1,-1,-1,-1,193847,350039,639892,-1,668447,-1,-1,649402,-1,-1,998199,-1,-1,404122,-1,-1,-1,-1,688667,-1,-1,110477,742819,-1,193017,-1,-1,-1,-1,-1,877836,-1,176321,851895,286873,-1,479672,-1,-1,-1,-1,383433,882812,-1,-1,42225,207653,-1,-1,959708,-1,-1,-1,869505,25699,212473,-1,-1,765052,-1,874352,-1,364525,-1,898956,-1,-1,587812,-1,-1,775803,267102,-1,-1,110962,-1,-1,-1,89039,402036,364188,610598,-1,515116,133631,404658,498149,-1,-1,-1,-1,-1,-1,-1,851361,-1,943642,179364,230669,111617,629327,-1,-1,-1,460620,-1,-1,47045,595360,965396,-1,-1,727691,725876,704677,-1,56009,868023,95959,592361,317218,-1,77976,253240,-1,31806,-1,-1,785599,-1,-1,-1,-1,530412,302439,16484,724913,725542,876698,235881,643573,-1,-1,935024,490580,-1,-1,-1,-1,844506,-1,-1,-1,675638,748921,393377,-1,-1,167587,-1,147381,1795,-1,52046,462436,-1,691464,-1,-1,-1,-1,-1,-1,630248,-1,693622,-1,-1,717278,-1,179665,-1,323311,66321,14605,-1,448767,-1,-1,-1,-1,-1,-1,-1,-1,253237,-1,-1,838996,-1,949640,-1,-1,232177,695634,-1,-1,-1,413496,-1,724311,62780,833432,331905,351956,159339,687511,-1,410749,615956,407649,652313,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,62692,906616,-1,157929,554612,-1,62750,-1,-1,159573,-1,-1,448881,742899,-1,269451,765355,52513,-1,940500,381697,593531,913843,-1,-1,-1,831752,106444,-1,-1,-1,532888,-1,183463,-1,816942,-1,-1,38072,666663,246901,779882,993558,928292,874068,-1,-1,-1,841591,338882,600408,553703,40371,-1,137904,8697,243098,651397,898386,392048,-1,402991,-1,928012,380120,770073,695836,33172,-1,463539,-1,-1,-1,502501,-1,-1,318506,202812,571300,-1,-1,-1,-1,604479,662558,-1,-1,-1,-1,542887,-1,-1,-1,196353,-1,-1,546082,910273,248230,-1,474146,-1,917720,396099,788967,954879,-1,104887,256122,-1,-1,563613,363584,966182,-1,-1,-1,-1,217208,290446,812452,627604,-1,-1,-1,809315,-1,-1,-1,-1,184356,-1,-1,-1,-1,742524,223770,833315,313434,123260,609438,562803,-1,796987,867490,493567,429152,-1,40988,591490,-1,323932,-1,335497,-1,-1,245948,533278,-1,976366,-1,537636,-1,-1,705467,363262,-1,-1,862322,-1,459206,678677,905835,-1,-1,195656,434768,217123,79246,468290,305646,-1,13677,770832,771469,-1,235093,819539,510481,-1,646034,930910,-1,947104,967830,-1,505058,497908,-1,134424,643600,-1,-1,-1,-1,498612,-1,-1,-1,867669,848928,-1,851829,-1,-1,-1,-1,699449,-1,442783,-1,141274,554995,-1,438665,924817,988268,-1,-1,-1,-1,93210,596522,-1,713215,371888,185500,-1,-1,309303,-1,-1,935663,441377,503215,875538,-1,-1,630213,-1,-1,529157,-1,474668,4516,-1,-1,-1,-1,-1,946829,-1,-1,-1,-1,-1,-1,-1,926362,354268,755118,706404,392574,878166,288828,-1,694467,-1,-1,-1,-1,11074,466154,-1,-1,-1,-1,71800,522991,-1,111181,735931,-1,980342,905159,-1,952241,-1,13541,-1,280531,196499,-1,-1,819945,977040,493061,-1,128042,-1,-1,-1,615000,478080,-1,-1,-1,-1,-1,-1,803638,435310,333577,562538,-1,502614,144908,753993,827005,-1,-1,-1,833047,-1,729136,590017,68869,-1,419226,-1,122634,1043,-1,434037,-1,881098,-1,-1,169832,854310,-1,674783,777174,625438,619144,633120,17188,-1,776388,-1,-1,695678,-1,829212,356407,111112,628514,631947,-1,70072,20023,336155,481207,575662,-1,-1,753615,-1,198981,-1,-1,-1,991302,367278,474109,-1,-1,-1,463713,-1,-1,-1,842352,900595,810822,-1,311839,692640,736582,-1,927255,692675,-1,256049,-1,110858,-1,924230,-1,-1,373147,-1,967840,860970,115168,593740,-1,-1,-1,287231,-1,473527,-1,409892,-1,-1,-1,520137,544315,-1,666731,-1,-1,-1,-1,174642,-1,30822,884680,-1,752374,-1,325113,-1,-1,-1,491712,-1,-1,-1,-1,228918,705493,853093,-1,-1,-1,-1,-1,142988,-1,637790,749030,255289,52375,325431,-1,455415,-1,-1,-1,-1,397962,606723,926825,526976,-1,-1,386367,971968,-1,800914,-1,-1,157167,670022,-1,704816,-1,-1,349748,490175,978234,862180,295996,45542,-1,457940,150823,-1,-1,866626,-1,189042,-1,-1,-1,747795,-1,-1,585061,-1,779385,-1,-1,964238,-1,-1,819027,209417,-1,209760,-1,-1,997585,437274,-1,119801,-1,-1,-1,-1,-1,380499,328259,-1,-1,-1,-1,442003,787802,508534,-1,356049,497804,151085,452316,-1,117390,950877,923259,-1,-1,29523,-1,-1,-1,706471,-1,-1,-1,-1,642603,-1,-1,54404,280197,-1,426124,927070,156282,-1,609424,-1,-1,-1,-1,589186,-1,-1,385618,954319,-1,987949,-1,-1,130278,-1,-1,-1,-1,366820,-1,-1,667798,641040,664129,337077,-1,-1,-1,41987,413585,-1,-1,-1,-1,642281,91190,109354,717725,695175,129763,-1,163364,-1,8373,-1,350153,-1,-1,621948,229848,223726,-1,-1,258259,-1,-1,-1,706353,-1,-1,-1,557375,624409,-1,682051,-1,-1,-1,650049,-1,-1,532149,-1,124247,-1,4489,-1,673907,957320,-1,-1,-1,-1,527602,-1,-1,963891,413472,-1,357326,499525,-1,-1,-1,-1,-1,-1,459808,119328,597379,-1,897281,963849,879627,-1,77490,-1,854282,415919,933357,760137,111215,87860,-1,127780,-1,604000,-1,-1,12784,-1,808418,807022,-1,361740,-1,464146,719819,444173,-1,98874,894748,198554,-1,-1,-1,-1,289231,-1,-1,609478,525993,309933,-1,223048,-1,-1,-1,451032,751249,45084,-1,487136,-1,459211,46223,-1,770858,167876,90505,537746,-1,494875,-1,-1,-1,-1,-1,538164,59444,414829,-1,-1,-1,-1,603920,40309,-1,123800,857753,710712,-1,467542,-1,431169,-1,624933,-1,-1,541410,223260,-1,240769,3038,-1,-1,-1,361999,-1,896229,-1,526393,-1,519756,773077,-1,-1,483378,272654,798862,-1,954672,-1,-1,-1,-1,-1,170199,-1,-1,832781,906787,-1,261844,827783,-1,-1,-1,695529,841885,427469,517753,-1,-1,-1,-1,315573,816728,136466,-1,-1,-1,-1,301433,-1,216243,-1,-1,171107,863804,834791,359559,554508,-1,206259,-1,-1,-1,-1,615526,652854,4052,700005,-1,472590,-1,-1,-1,120854,39874,216661,-1,406987,-1,361504,662209,-1,356377,-1,-1,-1,-1,154135,-1,722513,287449,143559,446983,749878,725853,-1,104729,165648,755424,584902,-1,237923,999527,193729,-1,-1,-1,-1,-1,-1,297948,-1,16136,-1,361774,-1,115448,-1,298925,-1,-1,671904,-1,-1,-1,616428,-1,-1,149911,-1,67703,-1,-1,-1,618534,-1,-1,319590,-1,663850,-1,-1,-1,310845,-1,-1,-1,-1,896042,177779,-1,-1,-1,-1,667510,841366,-1,-1,-1,-1,415149,-1,-1,633666,695879,209418,-1,45552,-1,-1,-1,-1,808754,-1,510346,370603,-1,782578,24153,796181,182304,617107,-1,999008,381520,554790,383385,-1,332487,425189,302039,-1,-1,-1,137313,16739,409220,171349,-1,356857,149940,825453,51832,990623,-1,946432,349317,419447,-1,-1,-1,-1,-1,446735,-1,-1,316086,-1,-1,-1,834327,219140,3095,-1,-1,-1,143658,839116,541338,-1,424513,537551,124165,-1,-1,-1,75816,180513,863190,-1,-1,906260,618749,-1,-1,-1,-1,272090,-1,259040,867555,716991,-1,-1,828250,534303,553114,-1,320183,15111,320825,-1,-1,317640,169150,329153,565695,-1,66635,-1,527525,-1,366299,-1,-1,-1,-1,355755,-1,-1,-1,-1,-1,-1,-1,66889,-1,360373,-1,-1,390553,-1,-1,-1,-1,-1,-1,-1,872385,574437,-1,-1,366469,-1,452377,873569,239261,740728,221106,-1,890877,932015,628788,-1,722784,-1,-1,-1,-1,529838,-1,354460,-1,-1,-1,526391,-1,-1,942428,-1,-1,-1,396967,788719,661868,718116,-1,117695,-1,-1,-1,-1,-1,-1,-1,619615,821572,-1,25885,521084,556203,-1,441724,239635,548780,229478,-1,-1,283940,-1,-1,-1,187049,-1,-1,607983,-1,-1,40652,-1,-1,-1,882170,-1,497536,-1,491652,213069,-1,-1,-1,-1,-1,-1,625765,442924,-1,-1,713760,-1,-1,-1,-1,2676,-1,-1,953437,907971,727183,-1,-1,-1,-1,-1,646314,-1,513244,-1,375863,680590,-1,846943,-1,899103,843996,723269,425834,-1,-1,593539,-1,-1,-1,105969,-1,-1,-1,-1,695724,388092,-1,135653,218935,-1,-1,-1,-1,-1,102044,-1,-1,-1,502919,-1,281904,-1,-1,594708,652492,840773,-1,-1,410491,150929,274310,-1,-1,-1,905773,987465,289858,981555,-1,-1,911219,-1,-1,-1,-1,-1,910359,269487,968105,491522,-1,703570,20868,-1,-1,-1,-1,-1,-1,-1,430173,666556,608495,803664,615233,-1,885306,-1,800484,746027,336061,593731,256065,742951,-1,218306,-1,-1,744029,137279,-1,-1,756446,559275,639002,-1,167809,-1,-1,-1,-1,749905,80211,555336,920780,412311,893347,-1,-1,-1,-1,-1,-1,-1,-1,-1,22105,-1,368709,926570,706019,536880,364246,518525,-1,-1,-1,-1,-1,465659,-1,597730,906142,-1,-1,-1,52069,243893,-1,-1,604303,497295,-1,-1,580032,-1,-1,965747,-1,554772,273621,-1,238512,-1,522053,500466,-1,317871,-1,375557,45004,-1,-1,694436,-1,-1,-1,380579,-1,891140,447903,386461,-1,928966,-1,886824,-1,-1,-1,315095,-1,949402,18185,-1,758761,-1,-1,-1,-1,-1,-1,885557,968211,-1,297327,-1,392148,-1,229341,-1,83970,-1,554487,-1,639065,-1,-1,-1,-1,-1,-1,960,698446,610302,559511,-1,737387,-1,935840,-1,616033,464969,-1,-1,868171,868993,905680,363392,231586,438226,36320,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,35460,-1,-1,814379,546586,-1,-1,-1,686820,-1,571311,59034,687296,384515,-1,-1,-1,-1,-1,35613,-1,151012,-1,952671,-1,320480,-1,-1,-1,-1,167282,849034,657150,-1,-1,763291,768444,-1,-1,-1,725374,-1,521959,-1,-1,429848,76155,890540,132573,558467,-1,113789,879103,565862,-1,429879,-1,-1,-1,786582,-1,990007,-1,-1,240482,-1,-1,711431,488661,-1,78310,-1,-1,-1,-1,222688,-1,134161,491483,-1,-1,144443,-1,129370,-1,326238,422225,297229,788987,-1,153359,328321,-1,530121,-1,260134,-1,496923,-1,-1,-1,-1,290248,439908,387514,709040,951139,569786,4974,-1,-1,426200,144266,658898,393732,913705,814584,69840,-1,857899,-1,-1,350352,-1,954996,-1,-1,87120,211863,269196,-1,-1,249552,726310,282195,569509,-1,-1,323375,243546,731219,-1,-1,481576,-1,-1,-1,288613,-1,856419,198801,-1,-1,206686,943689,-1,-1,-1,575204,-1,-1,-1,-1,868741,-1,167729,-1,-1,255524,-1,842403,-1,-1,856930,-1,-1,715916,-1,-1,241787,-1,392399,-1,718188,-1,-1,793499,-1,-1,257224,-1,-1,631761,-1,-1,-1,964418,883289,881901,208326,128220,751826,402736,-1,405133,45950,691869,999977,-1,-1,819306,57951,-1,517660,-1,69610,769108,628337,-1,91433,-1,-1,767992,-1,-1,-1,661523,-1,40234,935582,-1,8705,84432,613341,178083,-1,-1,720900,764029,688530,-1,-1,-1,-1,925660,-1,943116,-1,409909,-1,191469,-1,794049,62609,221927,778862,869361,641545,-1,-1,563234,-1,469376,82026,-1,-1,-1,219972,115864,-1,-1,741684,323427,-1,-1,467297,496749,-1,400044,-1,989732,432539,255347,-1,-1,344558,-1,705983,-1,977493,-1,869550,621311,245617,866546,184354,609168,-1,-1,-1,595872,326359,50519,565154,921079,-1,-1,714264,-1,-1,193557,-1,-1,234887,986587,-1,368225,570418,967554,-1,-1,778102,-1,499199,-1,419235,84698,405270,515314,870106,828611,-1,997411,151060,-1,910481,-1,-1,-1,619591,86195,-1,133712,-1,619946,-1,-1,876646,428562,294508,-1,559769,-1,485002,361636,-1,854900,904401,-1,872926,575834,-1,-1,753713,-1,-1,627005,736252,-1,226526,-1,330355,-1,558337,743538,91966,514936,22427,448971,169551,823352,121425,629592,-1,-1,961349,-1,85648,997090,-1,-1,-1,-1,-1,633470,-1,-1,451291,-1,-1,243288,935703,-1,964620,677667,-1,370590,2059,352972,-1,216244,8848,31032,658045,790162,-1,-1,481633,-1,-1,917625,567940,-1,477387,839196,518925,-1,-1,937147,-1,-1,958915,673474,-1,-1,-1,627987,-1,-1,-1,-1,541116,-1,634690,282928,513075,-1,-1,-1,475539,905151,940951,-1,694299,-1,-1,-1,394273,-1,-1,-1,960830,315774,541753,326953,-1,432175,-1,58083,526609,118338,720942,-1,-1,658341,-1,-1,-1,-1,-1,-1,15894,-1,258724,-1,-1,447197,-1,-1,-1,-1,-1,-1,286124,-1,-1,349847,33161,228104,-1,-1,721158,-1,713728,826269,-1,-1,966344,-1,162008,768315,342881,386673,-1,240905,-1,511820,-1,295019,-1,229001,-1,-1,-1,-1,-1,-1,-1,-1,30545,441508,-1,310402,-1,645952,450685,-1,618904,-1,-1,102144,553735,439473,704985,556571,987341,-1,-1,730094,-1,311632,551483,-1,437124,-1,-1,193447,-1,21603,-1,-1,67963,-1,-1,-1,-1,-1,-1,-1,-1,550432,932260,805395,-1,-1,-1,-1,-1,-1,404712,-1,-1,-1,-1,392870,112571,-1,-1,-1,-1,346755,-1,-1,-1,15071,486680,104008,728230,-1,-1,-1,-1,708569,803561,-1,-1,471065,17257,-1,-1,633709,577250,-1,887549,-1,-1,893931,787493,23681,-1,-1,59548,746437,51231,615922,604855,-1,-1,321979,858469,934396,-1,459452,304179,99362,446001,837649,586348,565394,506760,-1,678816,321448,305822,-1,793384,-1,412536,379659,-1,635501,-1,943585,484734,-1,571576,-1,-1,-1,562356,-1,352862,355400,81360,560384,-1,-1,-1,-1,-1,-1,160137,-1,37305,-1,-1,-1,243072,-1,-1,960165,-1,389231,670459,-1,643561,-1,-1,-1,-1,-1,-1,485715,-1,-1,-1,-1,797663,329764,-1,-1,-1,31381,151186,822253,-1,-1,-1,903712,-1,-1,664776,-1,701029,-1,-1,-1,-1,198839,-1,596127,-1,418387,478983,508332,-1,-1,481525,-1,458867,-1,389903,-1,-1,-1,-1,-1,630614,-1,101123,-1,958793,-1,-1,236508,-1,431779,578503,-1,-1,131452,-1,830142,285722,859207,-1,-1,-1,915432,246532,-1,837170,-1,461965,-1,-1,-1,345094,15921,-1,-1,831030,-1,65288,447504,-1,372961,920382,-1,720635,-1,533465,945206,-1,-1,487736,638249,-1,664773,356358,650859,411152,72005,-1,-1,-1,338277,888195,-1,-1,-1,-1,-1,512586,-1,-1,-1,953467,252760,997600,941837,961073,-1,334115,66892,89491,728527,-1,-1,-1,444814,-1,129591,-1,-1,848631,206416,588666,968465,995720,-1,119500,-1,730465,450475,-1,-1,-1,340497,-1,625050,797731,-1,-1,829696,-1,825071,988866,811538,640991,920060,-1,828548,-1,189334,-1,-1,5921,-1,-1,868247,874519,-1,402646,673299,-1,681074,-1,-1,335914,-1,-1,941184,-1,-1,524869,919172,-1,520148,439271,-1,-1,690933,863459,-1,369032,360817,-1,-1,126299,-1,-1,-1,785432,592463,-1,163578,228407,-1,-1,-1,863291,-1,347053,-1,-1,213193,-1,738281,823280,-1,-1,-1,928908,590666,526675,-1,536319,-1,789607,-1,-1,739179,-1,-1,214780,672187,925561,472757,-1,-1,-1,-1,-1,-1,768585,99196,-1,-1,204502,-1,121777,-1,-1,-1,-1,726306,-1,-1,-1,-1,-1,-1,597907,412541,-1,803417,-1,193409,810129,-1,-1,-1,355949,-1,206591,536666,-1,901313,-1,273752,339661,615369,-1,-1,-1,81666,-1,97857,956885,-1,-1,-1,941885,-1,495344,-1,-1,-1,195325,-1,546516,717692,826859,939248,-1,-1,322560,-1,860183,793507,4147,-1,271886,-1,952179,878227,-1,233568,-1,754507,709664,116631,-1,530130,-1,-1,865299,51055,-1,279974,-1,-1,414369,685674,755047,205100,402714,897166,239163,634520,628495,-1,943191,654404,447575,997981,-1,-1,9955,-1,-1,-1,409392,-1,415566,195845,-1,-1,81659,-1,-1,78309,286274,212596,-1,-1,667414,-1,49938,-1,-1,-1,790111,-1,404664,920380,-1,-1,634058,504704,-1,954994,939117,231316,535991,-1,-1,-1,-1,712841,-1,-1,782331,234110,979706,123549,841115,497464,-1,-1,-1,260761,-1,792171,-1,983482,-1,307225,-1,804020,325595,-1,891955,555117,-1,955858,548511,-1,-1,-1,-1,216697,-1,-1,-1,-1,953950,-1,539820,122510,349392,337083,-1,408479,-1,-1,678929,449388,569664,76519,-1,-1,-1,-1,613650,202700,775885,259462,-1,-1,-1,-1,829127,871854,-1,142650,921612,640989,712500,-1,-1,-1,-1,-1,704014,-1,-1,-1,782795,-1,16081,-1,30197,-1,-1,905676,-1,809727,213309,507350,205652,186678,-1,-1,-1,264415,-1,-1,-1,505137,-1,-1,671687,-1,-1,862314,-1,176866,553143,-1,901236,836893,-1,-1,822973,-1,-1,930695,-1,-1,-1,901255,-1,-1,-1,677283,-1,931171,-1,443033,84263,-1,152553,-1,872040,775797,743783,452942,-1,-1,25331,-1,-1,734524,358819,118363,796975,-1,-1,-1,821001,-1,-1,765322,-1,-1,54591,-1,-1,-1,580311,-1,182118,-1,-1,232189,-1,-1,122974,355701,516526,31593,-1,-1,-1,-1,830644,-1,-1,-1,-1,-1,-1,-1,-1,773050,-1,663852,215894,-1,215605,-1,216623,546350,-1,843833,-1,-1,-1,-1,296462,-1,-1,743467,926655,-1,-1,365340,-1,207567,-1,-1,113872,33698,762651,-1,966620,356213,-1,327912,285975,393692,216988,934619,-1,-1,637026,-1,12076,-1,-1,-1,-1,-1,736170,413321,-1,-1,291805,912317,863582,895238,593293,403943,360850,-1,-1,56898,953935,-1,-1,804920,-1,-1,-1,-1,965404,822129,-1,831306,641790,-1,205605,-1,-1,128141,909982,-1,8715,961171,-1,-1,-1,52827,852282,-1,-1,480280,-1,625213,958809,-1,707442,72176,434753,941092,705299,-1,-1,-1,-1,661670,-1,515546,-1,-1,-1,-1,925643,883205,-1,898260,-1,882077,447875,504720,343831,-1,-1,-1,-1,583107,330011,-1,633432,-1,763349,-1,558524,91585,-1,-1,633762,-1,-1,742461,-1,-1,530025,575772,-1,-1,83738,526495,776238,123931,-1,-1,729421,-1,921509,604794,-1,-1,104023,195642,903085,723559,-1,-1,-1,-1,656064,738882,-1,864393,-1,-1,-1,-1,-1,400429,13899,-1,-1,-1,-1,-1,746106,981036,-1,-1,-1,-1,854769,625250,350366,701550,-1,250001,-1,-1,-1,-1,382413,-1,136677,292242,284498,-1,880238,-1,-1,-1,303592,-1,-1,815281,-1,-1,-1,-1,621791,-1,-1,-1,472587,-1,571756,-1,647916,77320,-1,-1,105236,-1,-1,-1,116066,-1,761999,-1,-1,-1,-1,578425,783850,-1,-1,420463,988215,856238,867266,591057,130854,-1,-1,-1,-1,-1,260401,902836,-1,-1,-1,163810,-1,803159,83003,-1,528901,302440,809493,986317,-1,433319,-1,138519,304743,621065,291146,465661,-1,-1,465857,48329,-1,-1,247064,394438,-1,-1,648832,408602,-1,-1,-1,437976,777926,-1,-1,-1,-1,-1,-1,521068,548343,91865,-1,401009,-1,-1,-1,-1,-1,103162,12284,-1,-1,-1,-1,-1,314815,674285,866216,-1,856384,-1,138850,374438,-1,-1,8500,368964,976654,-1,-1,805402,-1,281470,166799,211670,310394,-1,69388,-1,220202,-1,936537,225081,105226,-1,-1,-1,267818,229583,-1,-1,-1,-1,-1,142689,285990,-1,402821,564158,-1,-1,857184,-1,-1,731901,-1,194170,-1,713305,-1,-1,-1,783316,962880,-1,-1,-1,628030,-1,386284,569229,133410,110445,86199,-1,339779,539652,879514,-1,68150,501181,-1,613917,-1,-1,865406,-1,549859,741854,-1,-1,-1,-1,-1,-1,-1,301872,-1,566862,61067,-1,-1,-1,480881,137019,898327,754196,-1,-1,174447,-1,-1,279354,955191,-1,-1,-1,-1,-1,950380,719094,-1,102426,-1,679184,447801,429085,-1,-1,707290,-1,540379,-1,220427,-1,-1,-1,-1,794727,-1,-1,-1,-1,-1,576881,-1,-1,58923,75441,-1,-1,229125,-1,-1,-1,-1,-1,376660,-1,-1,-1,916888,-1,-1,-1,500524,395388,240419,365871,825301,104590,-1,959307,220753,705081,834086,-1,669315,514065,-1,423819,728282,129543,473487,-1,-1,-1,-1,344889,533745,92775,491673,996632,-1,-1,-1,669395,519509,-1,-1,56543,258986,548289,636367,-1,883052,757846,898532,851050,-1,-1,162239,665448,944129,-1,-1,-1,-1,-1,93050,806839,599553,435802,364699,250064,-1,-1,235690,306764,669322,664994,-1,906180,427343,82826,34634,-1,-1,-1,-1,42476,304787,-1,744295,773755,-1,456941,-1,-1,-1,-1,305514,-1,-1,-1,936995,-1,161298,205859,-1,-1,-1,843271,-1,973265,685493,342429,287036,732767,22678,6498,680195,-1,-1,568181,-1,687795,-1,-1,-1,841139,-1,418519,614884,-1,813223,-1,-1,-1,639604,-1,-1,657404,726848,-1,-1,346180,134430,-1,515551,-1,153202,-1,468744,113381,-1,-1,-1,795784,114532,-1,869014,-1,347036,386983,855650,160638,720443,955886,29466,366947,135032,106736,-1,960556,883856,933986,-1,-1,137734,-1,340267,-1,-1,-1,671351,985988,-1,-1,195525,993446,-1,545211,23139,567245,-1,-1,-1,315566,-1,-1,367982,-1,834441,-1,841872,250370,-1,715459,-1,-1,-1,-1,-1,620551,-1,-1,452082,-1,540795,-1,518441,997107,-1,162540,-1,117587,-1,-1,277214,303133,735,435633,1564,793710,737079,-1,172663,-1,289987,602239,-1,99184,506343,-1,-1,-1,-1,731419,981007,-1,-1,-1,-1,650796,-1,574378,-1,-1,779631,-1,993749,-1,701810,103668,-1,477388,296342,220767,-1,478740,-1,-1,994140,-1,-1,401487,554500,-1,787359,-1,144231,-1,49761,-1,777923,-1,68580,720746,871878,207935,840139,-1,701257,-1,-1,468119,-1,-1,676384,688659,-1,-1,777084,-1,-1,-1,833554,369827,870427,-1,-1,620745,892607,689778,-1,-1,-1,-1,-1,-1,959441,-1,-1,233296,-1,132735,873633,-1,-1,730474,348455,-1,269322,-1,-1,563775,620093,999667,845863,-1,263264,-1,-1,-1,742318,-1,-1,96738,892934,163798,849454,756135,-1,-1,494139,-1,577702,157033,-1,-1,-1,-1,368928,-1,48513,904475,-1,-1,784512,-1,839465,1563,-1,-1,-1,604098,201971,767171,891479,-1,625674,55044,-1,952886,-1,955289,-1,-1,-1,848297,-1,264756,-1,-1,-1,-1,-1,-1,-1,402136,-1,890643,966366,870503,826828,758248,-1,629050,670095,441217,551776,-1,802018,-1,161252,755508,303460,822081,-1,578522,-1,-1,-1,-1,-1,959636,-1,-1,644491,442935,-1,906183,818344,510002,-1,109004,162257,464570,-1,-1,35622,-1,-1,368199,-1,856401,-1,-1,-1,-1,982278,633151,329874,-1,659429,-1,-1,-1,925082,610616,803917,-1,-1,-1,247961,-1,-1,531357,-1,498060,-1,-1,844811,967244,379732,-1,605642,-1,-1,109979,590050,589755,440081,235134,649155,-1,699735,-1,136013,441090,181310,320753,179688,775654,323944,-1,-1,923615,559813,-1,-1,-1,-1,-1,-1,755603,-1,-1,-1,-1,1290,-1,717805,-1,-1,328081,389431,127641,700683,-1,-1,-1,208051,607281,412537,-1,-1,32882,518837,-1,-1,-1,224463,-1,-1,384946,-1,901769,-1,883519,770393,985256,-1,238771,-1,-1,-1,535344,930279,453401,-1,315596,-1,-1,205682,899804,311925,811553,-1,-1,-1,-1,-1,-1,118225,418024,-1,-1,749518,-1,663033,776351,565815,70025,-1,-1,121844,-1,769984,333235,-1,934879,-1,-1,-1,169251,-1,-1,-1,595085,365144,167970,-1,321135,-1,-1,835457,-1,-1,-1,-1,623452,688990,121158,522560,703138,-1,-1,-1,203768,-1,-1,-1,96676,611163,636670,-1,-1,170301,-1,-1,-1,-1,-1,-1,112662,497367,922186,295687,-1,730445,192808,343633,-1,-1,-1,-1,175412,-1,-1,-1,153861,100172,560714,967756,-1,-1,634640,-1,-1,363304,112725,-1,312774,-1,-1,-1,506736,-1,987598,-1,312078,839008,-1,-1,215034,-1,-1,-1,275106,-1,-1,-1,-1,-1,655629,707466,-1,927804,-1,924990,-1,-1,-1,427638,201407,971125,-1,98833,748678,-1,-1,-1,165830,-1,257825,365938,-1,-1,-1,931058,750476,-1,-1,781004,-1,486897,103241,-1,44924,308500,-1,505964,-1,33450,-1,-1,612661,-1,-1,-1,-1,-1,779238,154954,-1,-1,485516,707619,-1,964818,776747,545762,-1,-1,712530,74270,-1,929498,-1,304138,837270,780044,969072,-1,451218,584732,277845,90652,-1,-1,-1,-1,-1,-1,507254,314987,-1,-1,172410,952669,-1,-1,-1,383538,-1,-1,-1,233108,-1,831840,812824,706141,221262,448357,-1,-1,-1,906723,536291,271172,332063,-1,836328,-1,-1,-1,-1,991983,-1,-1,-1,-1,256730,-1,842376,516605,-1,572607,-1,-1,-1,-1,113869,365288,161938,640396,-1,-1,781242,278533,679140,-1,205828,-1,441037,-1,888480,-1,-1,614910,212617,353000,335117,629111,-1,551391,684621,-1,463931,-1,938724,968953,-1,-1,533460,-1,-1,-1,141219,-1,848917,-1,588218,692490,512535,-1,-1,461368,-1,-1,798724,-1,-1,536631,-1,5881,-1,622882,862559,-1,427121,160029,-1,-1,-1,332736,-1,384752,337000,-1,-1,-1,171540,-1,-1,-1,750226,237949,-1,-1,79966,313383,-1,-1,-1,770553,-1,710441,539908,806229,670725,338152,664844,665688,231711,745636,-1,312064,472359,-1,387512,-1,-1,539989,-1,101943,588436,-1,-1,717159,-1,-1,908092,-1,-1,967114,253907,-1,623063,-1,-1,114573,-1,-1,-1,-1,191008,-1,281164,-1,-1,-1,90291,581130,-1,722569,-1,314488,-1,591006,63550,-1,65414,-1,384617,594403,-1,-1,-1,-1,974884,153115,-1,-1,448394,118894,-1,273581,-1,-1,-1,436925,-1,-1,-1,-1,-1,-1,-1,-1,120707,-1,231963,-1,283743,-1,-1,237798,-1,-1,-1,420989,-1,-1,-1,353787,-1,48726,178586,-1,548947,202828,869786,-1,158251,-1,699360,-1,641427,624315,632116,-1,28000,515224,-1,-1,22489,-1,-1,-1,-1,-1,962457,927925,-1,-1,936918,798591,-1,815723,-1,-1,-1,250113,773916,-1,450910,-1,-1,402284,-1,-1,293823,279642,882420,-1,682942,60027,-1,-1,19549,-1,790215,-1,-1,564559,-1,14180,170773,269900,59783,-1,800783,29486,-1,-1,537373,311668,-1,-1,-1,960498,-1,800887,-1,-1,610306,-1,-1,-1,553600,656366,127391,245174,69123,-1,-1,-1,390492,316152,-1,795557,727470,147801,-1,-1,-1,-1,-1,-1,-1,620318,-1,-1,-1,745055,774876,-1,650065,455775,-1,912987,-1,-1,343235,-1,-1,61527,-1,774164,-1,622270,556199,507522,83900,-1,958217,885591,-1,-1,-1,-1,-1,911720,-1,-1,767337,-1,133088,439209,785744,-1,-1,992630,879123,575311,-1,698855,939681,919087,-1,277896,-1,-1,-1,-1,468994,28142,-1,-1,663845,-1,560364,147177,-1,416142,-1,-1,122742,147958,203385,448274,773549,-1,894389,-1,-1,326170,-1,582451,-1,878380,-1,375301,608212,752713,541371,-1,136558,-1,-1,-1,-1,-1,-1,-1,911857,548366,733960,-1,-1,190254,-1,436939,-1,789349,-1,-1,-1,520024,265836,29450,492990,-1,504179,794298,575299,713013,908489,370390,175272,-1,-1,-1,-1,-1,-1,981837,982680,-1,14570,554929,-1,-1,-1,834448,713401,705597,-1,-1,-1,754306,-1,-1,710062,-1,-1,-1,-1,879273,55483,-1,701146,224887,699234,-1,-1,452833,-1,595078,-1,471392,-1,456281,233464,-1,-1,570743,401865,323631,-1,-1,651138,-1,146502,-1,-1,149538,-1,304730,-1,-1,-1,-1,576123,-1,-1,871680,-1,-1,-1,-1,752312,461488,-1,969053,-1,384637,251116,-1,-1,655165,889429,197484,-1,498408,-1,924537,733619,-1,879875,253165,-1,483000,-1,-1,-1,446017,-1,-1,-1,-1,702613,-1,-1,-1,-1,-1,905851,278060,-1,310129,-1,775482,-1,-1,-1,265044,-1,546260,811320,-1,-1,-1,93670,-1,776879,777426,-1,841129,-1,40257,771381,-1,793775,323748,329044,429439,-1,765560,-1,200250,342165,907244,-1,518914,-1,260606,161018,-1,121119,497741,109203,-1,108302,-1,755507,-1,49781,896411,594555,-1,-1,726009,-1,249951,-1,-1,219433,537672,-1,-1,5634,446190,391126,-1,398067,896407,-1,483575,545081,-1,-1,-1,-1,885753,-1,-1,543882,272505,256037,695883,399711,280225,-1,-1,185477,794094,329826,74287,-1,-1,-1,-1,383623,-1,-1,272159,394146,-1,-1,662695,-1,-1,617441,-1,-1,730695,-1,997841,-1,-1,-1,-1,-1,-1,-1,834235,568000,-1,-1,411639,454580,-1,304986,209889,-1,-1,-1,920596,-1,-1,229572,556711,-1,606218,-1,557460,117594,233817,-1,76784,-1,-1,-1,231193,-1,-1,-1,615761,-1,-1,561970,-1,-1,406496,-1,-1,715204,-1,828685,746774,389526,-1,-1,898573,-1,-1,884761,731442,-1,-1,742721,-1,-1,973974,444410,-1,403661,-1,410325,-1,-1,508486,-1,-1,-1,-1,-1,-1,-1,-1,175840,867658,166264,-1,-1,-1,-1,407799,430451,-1,-1,230040,-1,-1,501514,-1,432580,-1,742796,-1,911280,-1,-1,429701,603000,640467,759641,-1,630662,747466,-1,618095,-1,-1,531399,39567,-1,192273,17484,507403,675465,-1,-1,147866,-1,-1,-1,-1,263507,-1,-1,-1,-1,904364,-1,-1,-1,-1,850799,37302,383607,678825,561820,-1,-1,171169,647473,-1,-1,-1,347845,865811,767287,-1,-1,-1,-1,-1,-1,-1,306094,232590,-1,-1,-1,80867,-1,-1,848525,-1,-1,-1,445003,-1,630124,-1,-1,699386,-1,553648,-1,896591,-1,133369,-1,-1,-1,-1,-1,436643,282988,906517,108867,87354,-1,950239,531840,49736,-1,-1,-1,546513,760037,581012,933444,798402,-1,-1,-1,-1,-1,-1,638654,-1,-1,-1,879108,-1,172681,-1,888705,-1,-1,-1,-1,-1,135602,13581,-1,-1,-1,-1,349069,-1,933432,-1,590397,581779,36374,775503,-1,-1,160813,-1,959209,771493,-1,327715,-1,282375,868988,949683,538971,-1,987397,232953,126447,-1,721231,-1,892160,580290,-1,468377,-1,39797,-1,642608,-1,-1,48941,173628,-1,811466,203988,-1,-1,-1,666184,-1,70118,-1,495740,702473,-1,99355,-1,-1,815585,-1,-1,356984,558548,-1,-1,-1,930983,-1,959062,-1,-1,-1,320392,560819,214566,187085,312234,145358,-1,879711,789133,-1,593855,-1,374208,-1,-1,-1,48182,764770,412609,-1,-1,-1,175278,-1,-1,888767,828139,-1,-1,503605,86370,-1,889368,922466,-1,844383,-1,701253,-1,894468,919223,-1,773190,324775,-1,312612,993114,-1,432014,-1,609362,363301,-1,-1,-1,14129,-1,945362,290746,67190,515860,-1,158473,-1,349428,309378,46093,864005,-1,728324,273356,237816,-1,353713,-1,-1,-1,407460,620244,-1,-1,-1,496365,268450,-1,549464,655380,-1,-1,-1,853182,-1,-1,-1,177794,795033,-1,-1,-1,279063,-1,-1,504090,-1,19548,402164,554943,-1,-1,638171,-1,345600,646094,536188,-1,-1,-1,296343,28221,-1,-1,672947,-1,619882,-1,-1,790135,441950,427455,651300,-1,-1,-1,666794,-1,-1,-1,-1,-1,644091,531607,697825,229924,458729,765222,237712,203362,634078,-1,283660,-1,40053,-1,44037,-1,740665,706479,333499,-1,586485,492460,17423,-1,-1,-1,-1,450302,923313,-1,465490,798340,-1,124140,441480,925861,-1,454480,-1,634693,911442,593169,435833,822104,614559,359529,-1,38170,-1,-1,-1,-1,969861,-1,-1,-1,897633,152699,-1,-1,20557,314183,578662,-1,-1,-1,342322,-1,475110,140987,-1,593165,730083,85986,-1,-1,-1,-1,-1,870039,-1,365485,702291,115110,-1,947854,784053,745396,800803,603886,592369,-1,207275,464954,-1,-1,934010,118810,341447,995797,-1,970116,256904,692637,325817,-1,-1,719627,174760,953193,981348,695433,-1,373520,364842,821904,-1,-1,229992,370085,-1,-1,262779,-1,-1,-1,20946,-1,71998,-1,956501,-1,206716,-1,729872,96651,383010,745201,-1,615957,703039,452856,486911,-1,-1,379750,367439,-1,354952,642905,978662,963251,-1,860387,94330,-1,929718,762435,506360,-1,-1,-1,-1,-1,403427,318288,108323,-1,259443,-1,153235,-1,331151,184176,800925,788647,147926,300853,222044,-1,145357,494576,494059,-1,160755,77563,-1,-1,718075,-1,-1,26920,48338,692057,-1,155710,7270,298053,158720,811975,73378,835278,482230,909392,941426,300412,976403,-1,-1,511946,660241,-1,246875,-1,-1,372565,-1,-1,247087,508087,-1,-1,-1,-1,-1,-1,-1,-1,734702,-1,-1,-1,-1,878137,388350,-1,964887,-1,-1,-1,-1,376882,-1,912625,994030,-1,868838,796706,738365,648738,-1,749857,419249,-1,118154,-1,-1,-1,-1,213576,-1,-1,-1,-1,479769,541211,663255,621916,-1,325835,424534,434192,-1,756414,96721,-1,849901,802449,-1,-1,812606,-1,908916,706262,519224,212045,742013,-1,-1,398258,-1,932955,-1,927894,680842,-1,852698,959076,-1,45051,-1,-1,129075,425445,-1,348632,758183,-1,-1,-1,677719,-1,577213,530003,-1,-1,804879,-1,-1,613034,-1,-1,-1,522833,524367,-1,-1,-1,-1,-1,-1,138611,866058,262311,737802,-1,-1,-1,-1,336641,109502,-1,-1,-1,-1,183094,785034,-1,987810,-1,674664,25501,-1,978102,641328,249712,380659,-1,-1,8308,-1,899296,431550,-1,89127,491282,342909,693197,836703,892898,96297,685947,-1,-1,392600,476110,-1,-1,-1,-1,-1,-1,-1,-1,455807,-1,-1,-1,-1,4737,142832,833226,908339,-1,-1,-1,250230,-1,574135,644682,-1,-1,657729,-1,210496,485589,-1,146950,188211,-1,813736,107358,222156,682349,-1,-1,-1,471524,15067,-1,3259,-1,248279,-1,234466,386533,765272,-1,-1,-1,411692,-1,650256,134622,-1,644656,756713,334103,349676,-1,-1,-1,213316,98593,486130,443340,-1,713482,-1,322467,-1,-1,-1,954924,931543,-1,169569,73410,169092,-1,741798,-1,-1,122562,-1,43434,-1,489012,-1,-1,-1,717048,-1,965601,111314,-1,-1,619020,216902,-1,83122,873250,346615,-1,932826,346683,867008,-1,225212,-1,-1,-1,-1,-1,434738,710817,878433,-1,624507,743765,-1,65093,-1,-1,-1,-1,-1,250361,-1,882675,-1,915107,737765,-1,910426,317199,-1,-1,646502,-1,-1,965473,-1,-1,-1,683895,626468,-1,183218,53377,-1,832821,23363,346213,911322,-1,555495,-1,153152,-1,-1,-1,451202,194028,801240,-1,-1,906065,-1,407326,-1,699781,379356,-1,149436,38055,-1,-1,-1,-1,-1,-1,629719,-1,-1,571687,650667,19825,200316,265287,494186,517282,-1,342672,43509,-1,-1,337948,8841,-1,263174,230190,967607,20527,-1,-1,720063,-1,524366,-1,129408,192220,522794,-1,-1,-1,-1,478227,-1,-1,953872,-1,947972,574112,822794,12379,256318,919713,24459,-1,-1,-1,-1,339158,-1,-1,651389,-1,37072,225636,-1,-1,568966,742685,61004,199535,-1,-1,-1,860091,100987,-1,396568,-1,883470,860261,-1,-1,-1,168742,148312,97940,-1,862631,147676,-1,-1,190977,338433,707819,-1,739407,38507,-1,706016,862405,809990,-1,932330,750089,948168,841203,272018,268785,510389,-1,-1,426738,809468,-1,-1,-1,801988,-1,-1,-1,-1,-1,626773,-1,681102,-1,582281,37198,-1,-1,359749,-1,-1,66414,-1,2138,-1,734997,-1,772195,867312,-1,902903,251385,492747,526290,941254,-1,-1,-1,-1,880363,655143,320070,-1,96673,-1,474418,686849,268357,92183,466535,394392,254207,25993,-1,-1,307305,662997,770813,-1,-1,-1,-1,37815,687214,441452,-1,-1,-1,553632,873119,-1,227515,943237,-1,-1,957685,-1,-1,524492,196033,-1,-1,655095,-1,779490,-1,-1,471721,-1,-1,-1,910263,-1,249234,817714,317901,-1,-1,-1,993110,-1,233230,244335,-1,278249,833705,-1,-1,-1,821900,-1,212138,421802,625168,-1,227703,470482,638497,-1,270309,-1,-1,-1,177051,-1,617501,-1,941180,-1,-1,179143,-1,678278,407747,-1,608044,884041,-1,-1,-1,-1,-1,-1,-1,211106,-1,-1,85764,-1,-1,-1,-1,712111,96437,42074,353650,-1,-1,-1,672696,399843,854086,-1,302500,-1,-1,406164,620965,696214,705369,392044,323548,432334,-1,-1,-1,516032,755625,159278,619168,27723,406014,653787,646291,-1,-1,-1,-1,-1,-1,502383,18988,-1,287736,468341,-1,-1,908403,932187,534896,329033,-1,322547,535049,284888,877293,-1,618799,-1,-1,612122,74014,854114,-1,927893,507504,-1,111060,934930,548057,956669,-1,-1,-1,155069,823465,-1,410685,-1,-1,-1,867048,-1,65693,567291,4629,287535,-1,577431,-1,-1,-1,-1,436973,565114,349876,-1,389445,27634,-1,74240,90718,858996,290547,-1,-1,576986,710122,962796,182369,-1,-1,-1,357903,233637,173274,682625,-1,681579,-1,-1,38191,24122,-1,-1,571294,-1,549425,269,662438,552380,407218,933222,-1,-1,676010,-1,-1,-1,-1,782846,836540,313148,250122,-1,192518,-1,-1,575220,-1,-1,-1,-1,64980,540225,-1,-1,-1,65350,859490,415689,172597,50253,104833,852396,625815,-1,-1,-1,935580,-1,212255,61175,-1,91218,863349,-1,521211,657982,224867,486697,496222,-1,831706,576764,-1,-1,924023,-1,-1,53620,358094,-1,261279,-1,508603,2140,317931,656172,112666,740145,-1,-1,-1,-1,-1,340173,826296,991553,-1,211391,-1,425559,355819,481451,492157,-1,-1,-1,383821,703346,-1,44162,451070,-1,571091,744056,419526,348570,240844,377314,-1,-1,-1,465316,634743,84379,-1,-1,574105,290299,-1,-1,213555,141992,-1,-1,763141,931188,653703,601244,-1,781347,904585,700271,308438,-1,766733,546607,-1,587348,-1,-1,-1,601780,-1,-1,356847,732560,249043,-1,-1,-1,912130,531609,148032,291019,504255,-1,754375,-1,185115,2322,-1,-1,381027,618499,-1,121269,985335,792096,-1,-1,718294,584099,-1,-1,476013,-1,-1,-1,-1,657030,968915,891392,18965,713458,62673,-1,-1,98910,-1,-1,523826,-1,-1,463808,-1,-1,-1,-1,-1,-1,846588,-1,649934,670907,-1,-1,558986,-1,428034,-1,527450,-1,143920,942383,-1,755128,127288,949653,-1,120435,-1,-1,428117,-1,981238,146900,723165,-1,-1,919671,877379,-1,-1,-1,-1,27775,193218,-1,882336,-1,-1,154296,-1,175822,-1,658778,782240,-1,303181,-1,197035,177593,-1,-1,-1,750927,672808,-1,-1,-1,793024,411741,929958,273040,-1,-1,-1,-1,217091,-1,-1,-1,127519,931701,-1,135620,-1,-1,956205,-1,737663,120675,-1,466314,262266,-1,881183,306146,928685,-1,603706,-1,-1,-1,-1,977083,898744,-1,686699,-1,-1,606042,319084,559272,142173,-1,89944,-1,-1,-1,523666,-1,502762,-1,-1,998913,993571,454246,51461,-1,-1,31789,-1,-1,-1,-1,-1,745112,-1,999681,-1,97633,-1,79869,760602,-1,156358,-1,110891,-1,412141,-1,-1,-1,789793,-1,-1,876881,-1,-1,50668,-1,923364,290364,681048,555634,324690,-1,-1,768661,658621,-1,422053,330495,-1,-1,845126,763558,-1,607663,-1,820606,-1,-1,204522,-1,484846,-1,527323,307015,-1,492691,578399,-1,-1,554076,825478,404609,-1,-1,443548,-1,-1,-1,-1,274480,-1,919995,591733,465603,378642,878436,771435,-1,254008,-1,-1,-1,-1,370292,-1,258939,-1,151214,725087,671335,819083,631085,528425,-1,64827,-1,574719,-1,-1,570994,-1,88322,-1,-1,-1,556366,-1,675736,-1,-1,-1,-1,-1,122627,-1,703788,263673,185906,762343,-1,-1,165925,-1,503541,857938,374608,585454,800167,55148,580886,-1,-1,-1,-1,189030,-1,78874,485808,-1,-1,956986,-1,-1,-1,137400,39061,219493,607214,909819,38615,-1,990256,914039,-1,-1,515531,-1,92290,-1,-1,37965,-1,-1,78281,488170,-1,-1,-1,-1,753664,-1,-1,-1,63013,128114,571890,-1,692709,871900,366978,-1,-1,-1,-1,963894,-1,676928,-1,271973,982456,-1,52769,100000,702721,764494,-1,598091,-1,812052,502342,893070,230569,929133,-1,942942,948082,-1,190654,-1,-1,806038,133123,48191,457070,956929,-1,-1,-1,264714,170505,802873,-1,-1,-1,8260,256155,685436,-1,846225,961371,-1,-1,-1,166785,-1,795321,-1,-1,814371,-1,81617,219872,-1,907437,994955,983549,593481,-1,953419,-1,-1,268909,366466,-1,-1,495847,414902,-1,-1,-1,-1,-1,-1,252525,571923,-1,-1,396045,-1,556715,-1,-1,311298,677288,505923,106414,-1,246143,73770,-1,479378,92087,-1,-1,390540,716796,-1,594730,536271,13296,-1,-1,22052,-1,183426,-1,637157,-1,774273,379004,501658,625902,-1,-1,811335,-1,-1,509572,-1,-1,-1,-1,133199,-1,-1,-1,708604,-1,-1,482,983085,-1,620282,683670,-1,289058,417035,32363,348844,-1,-1,-1,-1,14857,672564,-1,-1,337597,-1,803257,-1,-1,-1,-1,-1,-1,-1,660299,313001,-1,-1,-1,418644,-1,-1,807172,142749,251331,866471,499105,683753,26543,381679,-1,846394,-1,910645,336525,205331,713837,-1,325582,240097,-1,478619,506560,-1,-1,-1,498565,57858,905972,-1,-1,40736,-1,862836,-1,-1,-1,336281,-1,-1,-1,660858,280741,305742,-1,-1,-1,444294,192069,547785,-1,-1,-1,176631,35881,234070,-1,-1,-1,-1,-1,-1,670236,911416,421631,-1,569156,-1,821167,282501,36922,-1,-1,-1,-1,752543,143022,-1,717302,292743,-1,-1,-1,-1,659786,-1,888587,-1,32730,-1,532423,-1,-1,-1,-1,29909,-1,-1,-1,-1,408584,-1,909004,-1,-1,463649,6708,361322,899812,-1,976621,115793,-1,-1,-1,521898,-1,814466,-1,-1,-1,246664,284210,950771,722343,-1,566040,-1,635594,-1,-1,-1,203331,-1,-1,-1,708211,1153,675098,-1,246436,340601,43418,61390,-1,-1,517144,-1,995471,-1,-1,-1,364456,-1,263552,222680,8669,-1,-1,-1,-1,282147,414121,-1,-1,-1,-1,-1,-1,-1,-1,97947,-1,-1,341153,382306,-1,2645,-1,-1,-1,-1,233706,651899,103569,234968,-1,-1,-1,-1,531581,-1,-1,-1,33153,96961,-1,40879,489671,775571,872364,14882,539819,-1,-1,884541,697848,-1,554527,115142,746139,-1,-1,349101,342723,-1,-1,650696,100964,-1,-1,406433,-1,-1,-1,290788,-1,881929,-1,482525,-1,-1,-1,-1,211792,-1,210087,177571,776901,-1,220825,-1,-1,-1,-1,57350,-1,209282,191486,79404,-1,581591,-1,274300,-1,441094,-1,-1,-1,-1,-1,47261,146590,627420,-1,-1,-1,894578,305357,-1,-1,-1,714242,-1,454869,-1,-1,-1,-1,392649,997679,-1,-1,546812,232161,768461,-1,-1,-1,965675,332643,-1,-1,227846,-1,735496,-1,-1,-1,-1,9818,-1,954736,827075,-1,-1,-1,-1,311388,-1,-1,989141,736865,674273,-1,-1,-1,989062,-1,-1,761254,-1,71290,-1,569759,747511,960557,-1,-1,-1,921261,-1,380274,-1,-1,588907,-1,-1,436298,570031,70419,2924,-1,111442,-1,727284,512125,-1,868031,421867,924417,539157,-1,150096,665159,-1,146545,423003,-1,-1,-1,-1,519602,-1,920102,-1,-1,-1,290934,956464,-1,-1,-1,191790,244734,614318,923088,-1,433017,203792,-1,-1,-1,-1,545006,14976,-1,-1,759866,807147,-1,60336,462888,883842,783047,-1,-1,-1,557797,-1,804235,441749,-1,-1,840800,166238,770468,143906,-1,-1,265840,-1,-1,921312,431261,251152,-1,-1,516454,872075,509921,-1,-1,461413,-1,-1,310253,884,-1,-1,640056,-1,362786,164795,316422,943746,121498,596584,-1,216662,-1,39906,121107,-1,57881,-1,-1,663779,821538,-1,293180,-1,-1,-1,951523,440478,-1,733974,163784,67707,-1,-1,-1,-1,-1,-1,-1,-1,765706,-1,664234,801598,195348,938345,963946,383311,404754,-1,95160,500968,778428,-1,243882,740324,980142,158203,116615,-1,47115,-1,101794,338547,551472,-1,-1,813645,-1,-1,-1,-1,928566,857971,-1,766646,-1,-1,484293,852002,99558,-1,809262,-1,-1,196736,-1,-1,662565,539456,-1,-1,-1,554804,698920,230908,-1,462578,-1,-1,-1,995374,-1,-1,939555,-1,615162,-1,290677,222098,420734,295825,-1,993898,814790,365591,881914,-1,934718,-1,172941,994434,-1,-1,-1,-1,916447,-1,46842,540282,601768,996655,74999,343855,874975,137754,783488,-1,-1,-1,-1,-1,580732,-1,164884,869297,744566,-1,438095,835906,775141,-1,-1,-1,798309,-1,520225,-1,-1,710072,-1,181792,-1,976918,-1,-1,116893,-1,942857,765860,-1,-1,954201,476981,449810,-1,817548,-1,407178,934066,-1,-1,182249,-1,-1,-1,442155,-1,-1,554226,-1,29663,723700,-1,410277,636751,641742,-1,-1,324094,676399,181590,-1,650042,574314,966109,-1,110508,-1,365769,-1,-1,495721,89702,-1,-1,-1,-1,-1,92724,125917,618892,-1,919204,-1,-1,-1,-1,848873,41734,719554,-1,480582,-1,-1,33185,-1,-1,-1,-1,-1,5521,-1,-1,19848,734334,185572,-1,-1,-1,480760,992497,-1,589794,546327,49287,482123,-1,406879,-1,-1,275481,493155,-1,-1,-1,397688,914005,-1,-1,570914,483979,-1,946106,-1,525814,-1,-1,-1,-1,-1,-1,746668,-1,102899,439521,-1,946699,-1,-1,454074,-1,745974,-1,786532,872022,11473,-1,-1,-1,648784,-1,485730,621325,-1,-1,-1,132563,-1,57055,29435,823641,270598,193948,-1,482942,311404,651888,-1,-1,335366,627680,-1,514992,-1,-1,516611,110799,-1,-1,-1,-1,115227,100297,-1,897469,-1,-1,755641,758576,-1,748657,-1,-1,21296,581162,-1,197233,-1,-1,318215,-1,-1,-1,548898,597934,-1,-1,809961,414075,324199,-1,903363,188205,-1,-1,-1,-1,-1,533931,-1,324471,760826,70789,-1,110973,481592,295258,451801,-1,-1,789389,136207,673893,826702,-1,699495,422389,-1,303320,-1,319530,729394,-1,739747,-1,-1,-1,-1,171512,-1,876569,465276,823590,539650,-1,-1,-1,709840,-1,-1,820858,-1,950560,364600,-1,422100,-1,-1,-1,841,-1,140831,526629,224969,104561,-1,-1,380151,606333,-1,-1,833505,664115,473966,-1,48709,-1,-1,-1,723662,610040,4520,931878,-1,759320,-1,552006,-1,159101,129678,-1,-1,-1,-1,-1,-1,-1,882754,189338,-1,-1,131678,37971,173935,-1,-1,419021,-1,-1,-1,-1,860922,-1,730448,885979,323538,-1,-1,-1,709293,-1,644665,196539,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,231530,933671,-1,-1,602733,384502,375996,55651,49359,-1,-1,-1,496176,-1,-1,713213,-1,-1,849320,-1,237127,-1,596007,-1,-1,445338,-1,415030,168464,-1,-1,-1,-1,-1,-1,917019,-1,70081,-1,-1,-1,-1,-1,932568,710585,237909,-1,-1,614249,97942,275860,232962,-1,-1,-1,-1,62881,595413,667906,638425,-1,81074,-1,-1,-1,-1,36132,502613,227400,-1,775562,987798,-1,730609,-1,91705,630074,333653,-1,-1,-1,310663,-1,739760,921595,-1,-1,-1,-1,618564,-1,373843,-1,-1,129365,-1,323576,-1,62262,-1,-1,-1,238943,-1,-1,-1,910168,330730,405510,-1,449721,800153,-1,904603,-1,-1,608750,-1,969971,-1,-1,-1,655749,146908,161695,-1,323390,768146,-1,-1,352607,160645,451597,674790,-1,610953,375889,255412,798323,447887,834154,-1,-1,-1,479684,400074,-1,-1,401519,-1,549050,-1,-1,469156,-1,604257,-1,-1,-1,-1,-1,72636,-1,105899,-1,-1,-1,-1,326433,763175,-1,-1,-1,-1,-1,-1,383829,-1,499987,-1,801431,-1,-1,609215,377186,-1,123571,-1,121670,-1,-1,287025,-1,-1,503697,854916,145130,-1,800079,-1,-1,-1,950973,-1,-1,-1,-1,-1,161872,763730,-1,204817,-1,-1,764518,-1,936503,-1,-1,-1,566867,652520,22176,-1,978059,-1,319722,-1,264508,572938,80026,520113,408867,150268,70220,694494,-1,87223,38384,-1,-1,38177,-1,-1,-1,673130,887738,-1,410123,844534,599044,-1,2274,-1,829715,193145,110143,-1,817647,-1,-1,578372,-1,-1,674048,543341,850841,-1,438148,942102,11540,953210,89361,564116,282890,685215,-1,8568,737069,183288,-1,928922,27681,-1,622203,-1,852031,666450,-1,-1,-1,555758,-1,828081,-1,873085,-1,245860,239281,-1,-1,268280,-1,297134,-1,-1,-1,-1,55426,-1,865204,335154,484541,257534,207184,-1,-1,417648,-1,257243,386132,99248,-1,817601,699080,107454,-1,-1,-1,265841,-1,480772,-1,375333,671990,-1,-1,73514,286020,-1,444247,231989,526065,-1,-1,115322,346727,-1,-1,-1,523696,-1,-1,-1,331086,68443,22933,242165,246771,-1,-1,-1,512459,-1,-1,309498,-1,239899,-1,-1,843512,312848,406334,-1,369832,875622,-1,557352,432055,734984,-1,-1,805386,-1,540338,-1,-1,-1,-1,-1,850182,403753,720419,-1,34659,477938,-1,-1,-1,837235,832715,268739,281153,75886,162534,-1,586178,904066,816578,-1,-1,896565,911337,264644,273936,472875,-1,-1,-1,-1,-1,-1,691231,614833,-1,-1,469749,-1,-1,599338,-1,155602,768416,787154,253045,-1,-1,-1,713384,-1,769441,235935,-1,-1,-1,232826,-1,329781,498780,544181,941541,-1,632508,-1,975251,-1,-1,497230,-1,397695,-1,-1,711943,-1,-1,-1,12208,-1,268371,484139,-1,666226,976509,-1,-1,-1,394047,-1,903279,651059,-1,-1,214691,-1,302775,-1,528471,-1,-1,980853,-1,-1,343945,-1,128666,785407,-1,309078,194512,720502,-1,-1,-1,744996,-1,944460,-1,822247,271540,-1,-1,883474,-1,676156,869627,930147,-1,881199,-1,810869,605927,13579,-1,365087,-1,352281,-1,-1,-1,-1,218740,561106,-1,-1,-1,-1,-1,-1,-1,-1,899464,-1,-1,707493,-1,-1,-1,-1,960357,617965,829795,594793,-1,640284,-1,-1,-1,491051,-1,-1,-1,669583,-1,66639,-1,-1,723040,163131,919609,168280,-1,-1,761675,-1,-1,900943,-1,842139,338634,33817,-1,717192,270660,-1,-1,406254,276254,491101,-1,-1,90943,-1,-1,-1,208227,191352,583393,81255,206697,20404,-1,-1,-1,-1,-1,181564,-1,49181,-1,65957,442527,-1,-1,-1,588693,-1,-1,-1,282488,428309,-1,-1,943525,972577,892575,-1,245701,-1,824551,142677,150653,690869,-1,948608,364338,-1,606850,763033,-1,-1,164127,-1,558558,257073,838003,340436,854868,921406,-1,972801,-1,-1,94249,-1,-1,-1,633286,375357,-1,84954,65982,-1,-1,-1,864144,-1,-1,659034,32086,802379,-1,-1,884801,-1,536091,255014,247992,-1,-1,110903,-1,-1,686252,-1,937645,-1,571374,-1,267982,-1,-1,-1,559377,-1,435831,-1,448709,644148,-1,266756,-1,-1,-1,-1,-1,-1,332876,-1,214034,547506,-1,-1,146906,-1,-1,-1,16084,92699,545277,-1,67230,295276,-1,491174,816326,200048,-1,884637,-1,221577,697446,383794,677446,-1,-1,230169,-1,-1,939536,846490,796052,-1,532175,391404,-1,-1,932975,994471,-1,-1,136528,376421,782825,-1,281270,329527,555437,685772,-1,651026,-1,-1,-1,-1,-1,-1,409735,-1,832124,-1,-1,-1,-1,-1,-1,-1,-1,12822,964401,721302,-1,59656,-1,816019,861396,222874,-1,-1,-1,588372,-1,554637,255249,911978,557306,558684,963013,21621,508128,-1,-1,-1,-1,542541,600248,583326,-1,-1,-1,-1,641764,92976,-1,324267,-1,642187,559840,170970,364860,-1,-1,-1,-1,-1,-1,869910,158151,836962,-1,317813,704018,794965,618014,779721,880874,-1,-1,-1,-1,838475,994693,716075,86122,338508,220383,-1,-1,-1,-1,-1,528856,-1,-1,10715,379269,-1,806751,-1,799178,108909,71508,162371,-1,982864,-1,-1,114841,-1,-1,-1,-1,-1,-1,-1,-1,6799,-1,-1,-1,-1,-1,238341,-1,486732,-1,-1,215181,-1,355032,-1,-1,-1,-1,598019,75305,-1,671708,277315,-1,-1,-1,232716,651703,125938,-1,403302,489901,-1,275100,45122,247343,455771,-1,-1,-1,880269,-1,481476,604776,-1,9704,-1,662665,237212,-1,995792,595041,120975,804723,65872,906092,-1,-1,70782,-1,163556,-1,509657,28021,-1,764567,81038,720934,691079,-1,-1,-1,464450,903725,72755,749496,406938,-1,-1,992341,216242,-1,-1,421900,420219,-1,-1,899218,-1,467848,-1,-1,120538,-1,-1,-1,-1,918791,827545,-1,-1,213081,-1,-1,269496,37449,372123,-1,976205,357467,107936,-1,948547,-1,-1,-1,-1,-1,901675,60130,-1,-1,958797,-1,-1,17628,-1,-1,545307,55169,-1,157052,121033,-1,850691,526384,-1,-1,70762,-1,-1,585694,-1,-1,322166,292348,185734,121922,695566,-1,-1,775428,318594,762013,-1,-1,790291,446265,816495,-1,631880,-1,921421,746974,206578,875377,-1,368794,82550,-1,624113,-1,61733,422007,-1,547568,-1,-1,-1,-1,107852,736425,-1,-1,216743,-1,238942,147242,-1,-1,661519,937175,610680,-1,308704,-1,-1,310404,442209,-1,-1,236728,14579,83369,-1,-1,316424,815701,-1,-1,527432,-1,474135,578074,-1,-1,281670,860612,-1,-1,632763,-1,-1,-1,-1,104066,-1,951033,103729,-1,989811,-1,-1,568271,-1,209948,940573,-1,977835,-1,488106,788585,-1,955764,264817,-1,807818,782103,-1,586434,-1,-1,-1,-1,-1,-1,396757,-1,-1,-1,290410,52004,-1,-1,739435,-1,599681,-1,-1,-1,-1,269406,781467,791440,737010,-1,717521,-1,-1,764794,-1,-1,-1,841554,853805,838289,-1,-1,590748,-1,-1,165004,434064,643491,221606,-1,-1,856142,-1,461927,-1,101407,631569,923590,52075,-1,65411,178490,-1,-1,-1,23131,-1,-1,-1,138075,-1,542202,-1,383771,402120,242136,20423,117100,641689,712425,-1,-1,-1,-1,196398,249498,854079,192756,242287,-1,971415,970409,-1,-1,208039,697622,422054,402279,950114,-1,-1,-1,919405,-1,849643,904671,297796,381919,890500,-1,283753,-1,-1,-1,-1,102848,827768,727095,790533,-1,-1,38755,913390,-1,31286,388200,649337,-1,-1,-1,-1,-1,-1,-1,-1,-1,393361,768716,-1,989670,-1,702099,135609,452231,-1,-1,-1,-1,66973,-1,249767,-1,961973,-1,-1,820280,-1,-1,848213,762103,-1,126811,-1,465984,154477,-1,821279,-1,191801,861458,-1,398250,163814,-1,815693,209532,-1,-1,933914,369977,644703,-1,921578,-1,282328,-1,-1,41298,273573,-1,839658,-1,190902,886630,726968,-1,-1,-1,-1,-1,610195,451532,-1,-1,-1,-1,959950,91749,-1,631429,446464,-1,-1,-1,-1,-1,282113,208064,516493,212061,-1,987452,387976,-1,567889,-1,-1,-1,725346,-1,540701,396804,-1,-1,759692,-1,-1,963188,476433,810818,-1,354006,495737,590333,-1,-1,539021,-1,-1,-1,101495,987767,-1,241786,374823,-1,636230,565979,-1,-1,384092,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,542881,302069,71144,-1,-1,-1,761962,533313,-1,648877,307229,-1,-1,374815,-1,-1,956294,-1,249528,533407,531315,-1,-1,-1,-1,-1,-1,-1,-1,570696,370061,190730,482132,-1,937514,-1,-1,365976,269743,656008,799667,-1,-1,424973,-1,349010,609351,-1,822560,715554,109245,544079,451543,315723,-1,267708,-1,-1,311865,-1,-1,-1,-1,-1,922757,564475,975048,-1,192782,204723,-1,558295,747969,468463,-1,842660,-1,759864,942975,694814,556030,-1,875818,698014,114992,158783,-1,789216,898811,190120,404714,648933,408961,96769,-1,-1,605123,275083,188133,386242,766597,672253,911197,548967,68105,-1,748128,-1,-1,809644,553081,216353,-1,-1,732081,-1,830502,813784,980956,-1,432867,-1,888377,-1,-1,561680,769255,-1,849072,523247,-1,-1,-1,486929,781891,-1,593015,136360,-1,609643,622729,69762,744889,786663,349235,-1,-1,-1,406184,475559,953140,-1,558707,61605,-1,-1,-1,62922,-1,225801,-1,587376,15597,871758,383947,935596,806599,842280,-1,-1,-1,30485,942093,-1,-1,-1,544119,-1,117883,-1,-1,-1,892913,-1,-1,-1,588367,-1,-1,-1,302887,-1,722130,-1,-1,-1,355888,-1,950848,282576,656654,161307,-1,-1,-1,-1,860170,-1,441855,-1,562614,370047,-1,915904,-1,399157,-1,-1,24627,269801,26864,-1,676890,-1,731712,-1,444609,-1,-1,536163,-1,-1,-1,-1,912507,155,-1,522708,798302,789909,-1,-1,83067,-1,821666,471894,290352,-1,-1,-1,953225,-1,-1,-1,-1,676779,963512,-1,507242,282665,-1,540443,-1,996761,956540,197278,-1,-1,-1,67935,469468,641274,-1,-1,-1,-1,-1,-1,890523,934962,-1,-1,476410,-1,-1,-1,56140,21625,773950,27123,16148,-1,-1,625594,-1,113549,-1,-1,993447,767244,695058,595241,321045,-1,3362,837285,258232,-1,-1,41724,482436,-1,-1,253855,482973,-1,-1,-1,-1,-1,769410,-1,-1,713247,354206,17601,-1,-1,162433,-1,-1,-1,433720,222418,442196,457769,552561,171383,-1,-1,-1,-1,564386,670341,-1,166609,-1,54901,968507,-1,659512,-1,-1,-1,-1,-1,520288,-1,252247,-1,-1,-1,-1,735796,-1,833517,904535,-1,135961,-1,-1,475730,-1,-1,50923,-1,-1,-1,241927,-1,-1,668640,988158,53422,-1,456898,191546,-1,-1,-1,-1,-1,277633,356372,-1,-1,-1,-1,607411,724063,-1,-1,211249,-1,338141,-1,830197,-1,459433,27694,-1,-1,-1,-1,-1,207545,-1,-1,-1,341048,773110,619112,-1,840536,465339,-1,-1,-1,-1,37588,-1,137361,-1,783906,669664,238186,-1,-1,543345,-1,6957,-1,-1,-1,383507,-1,676253,858112,931068,314960,-1,-1,648964,-1,371494,74174,435326,803847,663107,750018,-1,634907,-1,634473,439309,-1,-1,-1,-1,820926,96718,168362,-1,-1,348626,-1,806629,-1,418810,610276,-1,-1,-1,-1,652560,-1,-1,225511,838156,-1,-1,645536,202716,213048,714639,229426,-1,-1,161083,803683,985925,-1,187805,-1,-1,673872,-1,-1,-1,203642,-1,-1,982889,-1,502558,-1,567655,-1,-1,-1,129708,950045,-1,105119,-1,92103,277658,439480,840503,361559,-1,-1,364055,604421,-1,-1,170495,585490,328715,344856,-1,579745,-1,-1,436320,255645,-1,-1,862961,664486,-1,-1,572249,-1,-1,-1,124791,-1,344294,-1,431243,-1,-1,348634,-1,-1,891560,-1,395421,-1,-1,548744,98773,241719,-1,875045,-1,-1,101288,-1,-1,391343,604768,240741,-1,646775,-1,104671,-1,29518,127025,720118,-1,-1,32480,-1,-1,243395,-1,405363,-1,257496,504264,-1,-1,564097,-1,-1,-1,-1,816800,-1,688628,-1,-1,-1,240862,-1,-1,159039,290460,722932,598813,680738,433418,675563,-1,-1,-1,-1,836258,-1,-1,-1,106049,163718,849498,798842,-1,-1,-1,795088,-1,-1,87784,-1,-1,-1,-1,-1,935107,-1,-1,-1,731308,-1,-1,-1,580770,585027,551806,863647,-1,818067,-1,691899,771795,-1,-1,-1,-1,218256,75730,-1,-1,-1,-1,-1,-1,-1,400691,755784,668091,533764,-1,346388,910906,-1,-1,-1,-1,562219,-1,700346,-1,-1,586520,646313,36154,762385,-1,-1,-1,559113,181781,-1,-1,893783,-1,806452,-1,-1,750065,-1,-1,-1,-1,966596,-1,478574,-1,888522,573868,984118,116135,-1,691034,279407,-1,-1,628983,-1,-1,-1,-1,-1,529868,375954,815570,-1,-1,629647,978581,891938,799793,-1,-1,462096,-1,120963,828844,-1,-1,-1,954387,965582,954349,-1,988451,-1,-1,967145,-1,137092,-1,-1,-1,-1,-1,-1,913172,-1,-1,897513,876192,39461,159665,-1,432166,-1,-1,-1,-1,-1,-1,41125,828923,-1,-1,534350,628301,-1,624053,-1,549157,-1,60118,911850,-1,238190,-1,919590,926617,89367,-1,-1,734955,496491,-1,13803,513802,-1,5232,-1,-1,-1,27970,-1,-1,73052,250306,81996,-1,-1,291127,-1,422935,253802,484890,23042,635898,-1,276155,-1,-1,453655,-1,521489,-1,368428,-1,-1,457884,-1,701095,180176,653522,826869,-1,305722,637111,985402,-1,829963,-1,200324,559203,-1,390064,-1,811597,-1,-1,77511,-1,-1,-1,753358,84287,113668,484044,402943,-1,623207,523072,-1,-1,273029,846533,-1,685813,228381,-1,36587,960614,-1,565919,-1,951114,164286,-1,807326,-1,914396,123720,-1,-1,289087,372142,-1,-1,-1,531299,-1,970795,252832,-1,387349,-1,470658,-1,606321,-1,-1,-1,-1,-1,10999,337413,-1,-1,579381,574611,-1,276125,-1,578422,-1,-1,-1,-1,278552,623137,-1,-1,539205,-1,629123,-1,938072,131901,630202,-1,68198,-1,-1,429576,-1,283251,838271,-1,703050,-1,-1,-1,-1,642886,-1,611817,-1,-1,-1,-1,568793,884127,-1,-1,-1,-1,-1,579292,459096,490915,-1,47950,-1,649516,-1,-1,-1,617455,754258,824060,-1,634742,-1,-1,289120,717208,-1,999094,235314,-1,874993,953398,711024,-1,969672,-1,9540,-1,-1,137848,110315,569687,-1,391829,128718,227130,808354,525702,983096,-1,287507,-1,-1,-1,576694,-1,387782,788474,553030,221867,-1,-1,358946,-1,-1,206685,-1,-1,-1,400303,-1,-1,-1,221123,-1,868846,141518,35366,989855,-1,668559,-1,614424,574377,243780,-1,-1,901988,-1,-1,106243,-1,485755,848732,-1,256807,503825,-1,807532,28693,469798,472253,-1,539970,-1,-1,-1,174360,297283,839323,738050,858913,607980,-1,522525,628406,-1,820206,-1,868318,-1,325993,463089,-1,-1,110124,773577,-1,717247,395823,-1,406757,-1,-1,-1,51900,211479,970701,117839,802995,-1,876231,-1,450742,-1,47591,-1,710097,-1,638156,185053,522440,-1,-1,739684,-1,677461,27979,688769,-1,-1,-1,-1,870265,-1,-1,-1,952443,105179,-1,378165,-1,323575,-1,506708,-1,432661,921468,592426,918971,337648,889367,-1,-1,-1,382856,-1,779231,-1,-1,331185,-1,14670,-1,736919,-1,396976,-1,-1,-1,489543,538166,-1,583852,-1,964693,609457,-1,-1,516796,-1,-1,43471,529793,-1,-1,-1,265948,423689,124527,-1,597872,-1,563796,-1,502056,370940,170563,649140,765974,-1,401988,-1,-1,-1,-1,395740,457548,-1,-1,648093,581403,964368,916971,218754,95373,946339,-1,465918,380999,-1,38596,-1,247080,-1,281827,434683,-1,25307,-1,-1,-1,36217,324599,276539,528802,-1,261906,724214,-1,679158,23398,-1,-1,-1,738872,35335,304499,546341,72577,834208,608742,-1,668443,-1,-1,531669,50760,-1,971214,-1,488895,600890,-1,-1,-1,157498,406371,-1,652047,-1,293672,323419,-1,67427,-1,234134,-1,476619,-1,-1,377189,297114,-1,949341,-1,360868,385111,-1,323650,-1,-1,-1,527978,-1,285710,-1,-1,695001,-1,142213,-1,-1,11587,917071,254322,275260,-1,-1,181825,561719,445628,566138,-1,833341,435614,-1,63728,-1,-1,956975,-1,308262,991323,-1,491449,308446,-1,-1,101190,367586,213581,-1,66758,75823,-1,810858,-1,-1,946187,-1,471080,-1,765752,198834,-1,-1,104354,-1,772355,-1,357361,-1,-1,-1,-1,44272,454080,-1,-1,997986,325533,706767,-1,-1,-1,-1,563205,-1,-1,-1,556877,471262,382869,613926,991415,-1,-1,-1,-1,-1,75299,-1,-1,122113,-1,-1,-1,143315,-1,335928,579628,420522,-1,225875,486337,-1,-1,640858,277719,724937,840030,200122,-1,-1,52843,587601,466756,458906,586027,851387,-1,-1,340214,761544,-1,150465,-1,425550,569524,-1,-1,-1,537402,-1,618259,488055,933801,871843,-1,386659,210797,150222,-1,-1,742016,-1,831754,342263,-1,978518,407601,-1,-1,944317,-1,94936,733539,247704,999482,-1,-1,887855,589027,744881,-1,-1,710879,964789,-1,-1,-1,410808,-1,28939,-1,676326,447633,-1,-1,-1,-1,125907,187089,970398,-1,147365,-1,90695,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,70841,-1,149776,51367,829440,29968,726000,-1,217316,-1,545278,669908,437313,567041,976649,540572,627456,282684,-1,699040,745360,415904,-1,899162,-1,-1,-1,156939,-1,685671,919796,-1,17522,574474,-1,798962,717643,416311,454051,209049,872346,600918,751341,-1,513566,-1,551216,564458,248032,254011,-1,414622,140789,-1,-1,-1,-1,662722,775236,956896,710754,-1,27861,103676,236212,-1,170663,-1,-1,-1,78529,-1,204941,-1,-1,-1,-1,738735,228362,-1,255693,-1,709512,333398,-1,462402,709636,191224,-1,-1,185636,80242,515160,839452,-1,779344,-1,-1,-1,-1,-1,283079,136451,-1,-1,495072,220297,-1,899376,-1,907882,455405,725605,-1,665139,-1,-1,499225,384135,-1,434290,855957,-1,873577,-1,415359,-1,966598,854366,331096,752183,178271,-1,-1,-1,652124,-1,-1,509117,549762,5899,-1,-1,-1,-1,-1,-1,-1,-1,170375,-1,-1,657947,260274,743543,-1,298654,952950,83711,162907,-1,-1,-1,-1,332992,557102,579855,148310,-1,350478,888049,-1,-1,-1,479526,111676,667025,388952,-1,-1,-1,309166,986751,-1,313866,247047,873738,623965,771372,-1,327527,212026,711917,410756,676715,-1,-1,547319,-1,-1,-1,543973,-1,-1,-1,893010,-1,438361,-1,-1,-1,855180,593337,-1,-1,146762,571720,-1,-1,770963,773415,443324,801803,26208,34280,-1,-1,317073,-1,-1,413539,465937,624454,-1,-1,-1,86815,-1,551220,-1,188376,315114,-1,-1,592070,-1,369960,581157,-1,316853,-1,-1,-1,-1,-1,546797,738764,254377,-1,-1,-1,-1,259623,-1,-1,366189,843487,961021,146897,778588,-1,-1,-1,869207,-1,-1,50535,928705,666597,107182,736614,227655,-1,46440,533591,-1,421970,880591,208851,156427,-1,-1,-1,-1,403182,-1,374139,-1,907617,898563,48198,484444,-1,-1,-1,-1,-1,359845,493863,-1,57991,-1,528428,-1,708001,-1,532502,241614,-1,177413,963460,-1,-1,-1,-1,67611,-1,-1,176112,489569,12022,407390,-1,-1,675762,24748,-1,721742,-1,-1,444792,-1,-1,-1,-1,163486,568263,-1,-1,546998,-1,-1,434972,297952,8979,-1,719612,123413,575272,-1,-1,-1,348886,-1,-1,242791,-1,112943,901977,-1,898267,890231,663616,-1,-1,-1,-1,528872,280110,-1,813696,-1,-1,95630,531831,904779,220339,520126,975159,-1,-1,-1,-1,244352,580659,-1,775379,454714,-1,-1,560774,189029,594795,-1,-1,-1,-1,420972,374658,-1,-1,-1,421278,-1,349757,103501,239069,811580,683957,-1,208688,524096,462144,388329,-1,-1,220957,-1,-1,-1,-1,142140,-1,-1,-1,-1,-1,202173,910819,361261,-1,979242,-1,941515,-1,313158,-1,-1,975911,457566,-1,-1,983537,-1,-1,-1,493712,820781,809489,407512,476690,292405,833945,-1,-1,520164,390253,606091,-1,-1,-1,440290,-1,403002,-1,873596,736746,42910,882468,-1,565484,-1,-1,-1,-1,-1,-1,313582,726698,709697,946067,-1,-1,702527,-1,-1,847535,-1,687028,815258,205323,-1,-1,749695,673261,-1,-1,-1,247258,946081,-1,29329,-1,499884,776403,413816,-1,834496,-1,688655,114038,195498,-1,-1,-1,191183,988445,231208,337811,-1,-1,-1,788636,251881,-1,414001,771225,-1,-1,669488,-1,847374,563278,359574,554817,-1,640502,92104,-1,-1,-1,-1,956445,-1,704116,854857,-1,84721,901035,-1,-1,590042,536043,-1,-1,260985,762539,-1,359400,-1,560075,-1,-1,-1,-1,-1,-1,-1,-1,459129,140226,516787,-1,469283,705414,652371,-1,-1,161397,773880,12951,670044,-1,937941,563768,-1,459970,-1,816166,-1,81364,555668,-1,-1,82775,926808,-1,-1,874883,532089,-1,-1,-1,329605,188979,-1,789461,-1,112482,231799,-1,-1,-1,-1,209578,-1,282992,-1,354551,-1,-1,-1,-1,813028,-1,-1,839417,145194,-1,939990,659896,633734,-1,-1,-1,-1,334547,-1,-1,851847,-1,-1,-1,-1,297993,389145,-1,810460,-1,150603,-1,815515,343904,-1,-1,-1,462988,780684,-1,-1,85074,813131,-1,-1,-1,767499,-1,-1,230535,-1,819337,-1,994707,847435,-1,-1,-1,97461,-1,19097,815704,594912,456028,-1,254175,548738,241490,95886,-1,61597,656204,-1,810752,-1,-1,702716,-1,-1,-1,-1,-1,325132,-1,-1,166169,-1,795144,-1,644120,373281,-1,636223,-1,-1,-1,-1,191671,775137,-1,-1,798647,370875,132776,202186,-1,619999,-1,-1,131726,-1,-1,691173,-1,-1,-1,-1,866803,-1,-1,-1,-1,466643,377573,649997,-1,845831,-1,421796,-1,765545,-1,660435,-1,417479,-1,841642,646636,917130,-1,165210,994174,-1,-1,978644,-1,36333,-1,825588,810964,-1,192277,-1,162330,591475,-1,50614,-1,266608,219539,121484,310095,526525,398627,-1,37232,-1,-1,-1,228014,-1,-1,788919,35093,-1,713832,487095,-1,130940,942861,-1,-1,810909,-1,-1,118529,-1,932866,326871,404216,-1,-1,-1,-1,-1,-1,-1,-1,-1,349584,-1,207748,991015,-1,-1,-1,-1,53941,-1,-1,-1,-1,377034,-1,-1,-1,-1,550967,315940,787740,-1,534091,-1,-1,-1,31840,-1,-1,9260,727247,-1,-1,-1,340623,-1,-1,-1,-1,-1,283933,371312,3407,-1,-1,-1,-1,401955,920689,-1,-1,344105,-1,741781,-1,398811,795849,270322,866303,-1,122502,-1,-1,456192,-1,-1,-1,542206,-1,895526,-1,620531,373398,-1,-1,961980,-1,-1,200002,2902,616206,32696,-1,212042,-1,-1,-1,820725,-1,290172,-1,518274,-1,-1,741112,648121,-1,991248,226373,735154,-1,-1,-1,-1,38084,548478,-1,-1,-1,-1,477994,732232,-1,-1,827767,265587,701019,-1,-1,-1,902726,-1,-1,276939,-1,-1,73196,140271,-1,613481,-1,591111,355529,-1,472687,-1,-1,-1,-1,-1,538068,-1,486010,-1,-1,-1,-1,-1,942256,704246,536909,-1,-1,336379,738677,-1,-1,320986,22719,-1,-1,839390,95936,373255,-1,767819,-1,-1,325415,-1,-1,-1,-1,310200,523644,675918,680207,495493,428907,574402,-1,-1,-1,-1,-1,364056,-1,891591,697517,-1,-1,-1,883746,195960,355761,631893,62272,-1,680183,903178,9434,411810,483480,508205,-1,-1,198717,-1,-1,-1,184329,-1,-1,-1,64336,790284,-1,776075,-1,612223,829230,-1,-1,357050,369420,-1,-1,752398,963030,849612,-1,343463,818063,416152,491591,-1,424938,233298,-1,75044,-1,-1,205062,567662,-1,-1,-1,149875,-1,328668,-1,763162,-1,679233,-1,-1,112597,513475,402324,637260,480563,-1,932194,-1,-1,65183,174339,-1,-1,844720,-1,-1,-1,427414,-1,-1,-1,73375,-1,561022,476351,-1,-1,-1,244561,109632,-1,568460,814655,-1,-1,-1,633778,43152,750672,-1,-1,-1,273757,-1,-1,13,812746,639934,-1,355516,280279,496238,-1,52002,311428,-1,933570,-1,-1,-1,-1,-1,-1,100932,801943,-1,-1,-1,-1,-1,494781,528325,-1,715609,-1,-1,258227,-1,-1,431220,-1,206479,754741,-1,226197,948113,-1,-1,-1,-1,-1,-1,-1,3210,-1,700606,120862,820697,-1,98747,-1,-1,317796,206178,-1,-1,473246,-1,-1,33967,-1,-1,110092,404485,610738,-1,993829,426935,-1,-1,-1,151597,-1,516663,-1,526427,-1,179391,-1,-1,-1,-1,-1,757894,-1,-1,-1,796576,-1,857079,242952,-1,-1,523559,154525,-1,-1,-1,569889,-1,306669,-1,876160,-1,273637,-1,-1,-1,-1,-1,360752,360613,-1,-1,-1,-1,-1,366723,-1,892072,821721,898022,-1,-1,-1,-1,30015,415894,-1,446177,-1,-1,-1,-1,-1,656288,392316,-1,-1,-1,-1,-1,-1,503218,-1,851745,-1,730546,-1,-1,599972,600142,-1,409023,731753,-1,-1,475485,243723,156100,633657,571082,-1,428991,-1,-1,479409,901789,-1,830513,-1,724221,-1,314764,-1,-1,36565,664640,817975,-1,911756,365028,-1,-1,-1,176923,-1,-1,876098,255384,-1,-1,-1,-1,-1,946937,154119,-1,-1,-1,991436,282815,-1,-1,891656,583419,141818,707181,-1,849354,324475,-1,-1,-1,367854,734541,900218,-1,769873,747890,-1,666707,-1,264599,-1,207974,997401,451521,-1,672204,680043,-1,59052,-1,403829,121160,732015,-1,944701,306384,-1,-1,-1,4645,97560,-1,-1,-1,967757,-1,-1,11666,-1,441626,506564,581988,-1,-1,-1,-1,-1,10506,381259,941843,-1,283268,111394,983907,-1,657372,-1,-1,894952,-1,-1,370245,-1,-1,59596,428696,-1,151898,-1,274805,-1,607905,-1,-1,-1,118795,-1,-1,138370,494971,-1,-1,190723,921180,-1,-1,715938,-1,-1,403797,-1,-1,-1,-1,683027,597114,750370,150445,-1,-1,774287,-1,-1,675008,-1,-1,-1,-1,80405,-1,-1,748560,551032,-1,44950,40981,156017,673079,638064,830156,-1,378966,834166,248891,-1,103780,-1,130733,947417,413558,-1,876210,-1,442628,651806,-1,692755,490514,178424,675197,14974,274410,509321,827384,-1,-1,-1,69445,-1,-1,-1,-1,-1,-1,350975,-1,-1,-1,-1,275977,315708,286311,-1,-1,-1,525217,564846,832457,781853,36701,-1,996768,346846,-1,365217,705220,231997,-1,674741,190693,-1,-1,173467,826317,441871,316680,810870,725345,450280,285058,667265,-1,839341,-1,936129,973700,355952,-1,364580,-1,-1,-1,-1,528282,-1,-1,125348,-1,-1,745972,999896,-1,726040,252033,996432,-1,713810,-1,260725,-1,-1,170734,276328,692822,659834,351257,549923,502281,998360,300175,-1,-1,559261,390862,577736,-1,-1,-1,-1,-1,-1,821631,680115,-1,186038,-1,-1,-1,309905,-1,-1,-1,-1,563127,-1,-1,802143,-1,843193,882997,241170,-1,-1,312706,-1,148157,-1,-1,-1,288857,591742,-1,-1,713020,-1,356783,106447,-1,235702,95014,-1,-1,589437,933406,-1,770619,-1,67206,827915,-1,-1,-1,714289,618073,480134,-1,-1,-1,-1,644679,-1,-1,82947,980149,103051,85211,-1,964751,298639,666239,893289,377476,842438,-1,790805,754546,-1,417152,258368,228476,-1,-1,982807,371614,414642,356353,-1,-1,-1,-1,-1,-1,571808,983196,-1,-1,-1,-1,518026,-1,691340,904144,-1,6477,-1,218657,-1,457897,921358,-1,-1,-1,-1,556761,280753,-1,736107,510,351467,-1,-1,970562,-1,-1,894984,-1,364773,613609,-1,473627,77126,-1,565530,-1,-1,-1,-1,-1,-1,-1,310310,-1,790926,839513,382909,-1,-1,123966,-1,932671,-1,449333,49412,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,159520,-1,-1,205718,176612,-1,-1,-1,-1,-1,-1,355999,-1,65859,-1,-1,-1,-1,-1,524808,-1,-1,525097,813245,-1,-1,951138,-1,125266,-1,32161,-1,-1,990475,239788,44992,963732,795070,37561,-1,86082,-1,-1,647124,-1,980081,-1,401794,648903,184132,-1,913286,-1,704794,712310,524224,-1,21105,-1,414371,350756,-1,-1,31092,-1,62231,-1,-1,-1,-1,820473,7613,7838,-1,-1,-1,235339,-1,-1,810462,427061,193734,793275,-1,799136,805083,664014,-1,656824,-1,503887,-1,-1,-1,-1,-1,-1,925402,881165,908636,10266,-1,700066,-1,-1,-1,-1,883739,984904,-1,-1,-1,-1,-1,858347,413600,-1,-1,625591,-1,483783,-1,-1,147351,897816,-1,-1,-1,-1,70537,-1,250516,-1,-1,968359,204926,999104,483999,557616,-1,477060,724635,-1,84830,461850,45616,419486,160980,-1,-1,-1,59460,-1,786654,-1,352887,-1,699922,708585,577427,-1,-1,-1,39943,494547,320447,558794,704653,108701,882808,607382,-1,587769,-1,911122,-1,703509,321357,679109,-1,-1,371789,-1,965200,626065,804787,269558,154206,-1,614215,807651,-1,685135,-1,-1,-1,281092,-1,528255,605777,-1,228171,-1,697145,-1,-1,-1,767884,-1,816748,-1,178404,-1,-1,750610,26142,663047,93029,22854,490582,371790,175716,-1,-1,-1,-1,-1,-1,-1,-1,716229,-1,142957,-1,289282,701396,391841,106740,-1,263247,218675,158780,184543,-1,897607,-1,-1,403645,-1,-1,766011,-1,261629,989267,535029,-1,614587,652253,-1,540887,-1,620386,-1,-1,988379,-1,885116,-1,569691,-1,-1,-1,-1,-1,951762,-1,587274,441216,505800,-1,635141,479338,217850,449186,409483,-1,-1,179429,697861,69407,-1,-1,411061,-1,940468,798481,426734,976278,888726,937623,225044,80656,224177,-1,-1,-1,470514,114389,647195,-1,-1,962610,602649,-1,-1,-1,841875,-1,-1,-1,564519,375023,-1,-1,227117,-1,-1,-1,-1,-1,-1,-1,811706,621793,-1,405946,136068,456135,-1,322641,120468,794226,-1,79488,-1,-1,-1,-1,184438,123920,-1,-1,663436,-1,21201,876059,313342,536999,892079,498341,-1,214123,-1,-1,179728,-1,-1,283290,800090,761306,-1,-1,304129,406383,-1,-1,-1,-1,-1,-1,-1,737395,-1,273438,-1,438406,-1,263545,-1,-1,252909,322717,892225,626774,-1,246704,-1,956153,-1,-1,396175,551428,-1,402766,-1,-1,-1,728612,-1,32355,370260,284586,-1,-1,102270,-1,831899,412825,992524,400779,-1,833849,837272,-1,-1,985873,882608,-1,-1,434795,-1,-1,452902,-1,969860,-1,231451,-1,-1,497257,-1,994306,538913,473596,956529,-1,-1,-1,117783,724333,-1,328067,-1,621559,115067,51260,445432,-1,-1,210361,-1,281562,980977,39428,-1,-1,-1,55683,509681,695582,260368,-1,-1,500690,-1,642892,292756,478170,-1,-1,-1,-1,918954,263,-1,390823,-1,-1,-1,617276,405566,-1,638481,707363,-1,425612,92726,719963,993993,538450,591504,-1,-1,-1,506268,-1,-1,152676,-1,-1,805004,970771,322332,756925,567074,92820,843412,-1,-1,338737,796030,746068,-1,-1,831846,-1,-1,614728,-1,-1,-1,-1,795666,-1,-1,529424,-1,377507,-1,33699,-1,472013,986321,274277,-1,-1,-1,549424,599657,-1,964137,711652,630382,14844,-1,-1,-1,-1,192392,941277,-1,562587,420125,-1,-1,278169,779289,-1,898523,-1,-1,-1,844061,-1,406918,461355,740421,816734,543205,-1,659755,767464,-1,-1,797936,-1,-1,143951,-1,-1,747029,-1,-1,794370,925296,535516,-1,-1,555741,897056,719143,-1,692693,-1,-1,863151,-1,-1,350750,789351,-1,-1,720887,890851,418140,187862,-1,571552,978173,351231,304814,942807,713543,478159,-1,57586,270606,-1,327004,582036,508342,-1,-1,750732,-1,-1,455921,272977,-1,825334,-1,-1,-1,-1,153894,-1,912277,-1,-1,141656,-1,522657,-1,510164,637907,313646,94329,-1,981056,982652,-1,-1,99968,-1,-1,-1,-1,130966,-1,-1,-1,-1,868370,-1,-1,-1,698787,709193,-1,111456,308554,-1,237182,90918,797089,-1,-1,-1,-1,119329,-1,713484,-1,269398,438766,-1,338526,-1,560049,-1,-1,-1,-1,62741,805378,-1,477256,877277,233521,44634,407308,-1,732023,806733,-1,692772,-1,296491,-1,-1,-1,-1,978452,413382,-1,-1,-1,-1,375168,-1,408873,580581,242607,-1,788198,-1,-1,-1,613941,-1,-1,-1,420330,-1,-1,-1,363065,900324,767962,308649,-1,582138,688164,357284,-1,500987,-1,-1,798996,-1,-1,897571,135922,296841,819784,212383,-1,460914,-1,257630,-1,736528,-1,559068,-1,-1,511453,-1,-1,-1,-1,982125,683272,-1,635873,-1,157595,-1,106481,-1,-1,-1,-1,-1,-1,207709,458502,342078,741641,152590,-1,9662,-1,-1,385456,465649,-1,763425,372622,634934,31287,797076,-1,732770,275337,-1,35352,-1,460998,572081,471883,650794,-1,918986,631365,440118,-1,-1,586600,-1,996351,464272,-1,-1,114812,-1,524136,278695,-1,39959,-1,-1,-1,-1,-1,-1,591038,-1,658352,-1,-1,651081,-1,-1,598443,870435,-1,135996,67285,494041,780735,-1,34310,-1,25304,753078,441970,899549,416798,-1,922789,-1,965520,-1,167573,338466,-1,-1,250044,-1,245958,657426,-1,602963,995135,409472,-1,819053,273635,-1,-1,248684,627770,-1,-1,-1,-1,458246,-1,700272,-1,-1,20846,-1,673968,-1,846503,-1,616184,152195,-1,-1,29653,541246,65012,-1,410359,-1,766562,-1,-1,-1,827082,-1,-1,-1,-1,-1,-1,-1,-1,598473,465585,748386,-1,-1,172722,-1,-1,899768,662910,201563,-1,543389,265388,-1,-1,-1,-1,-1,368713,-1,-1,537975,-1,-1,846109,-1,178167,-1,950266,106695,-1,-1,-1,-1,515168,-1,817419,427228,-1,-1,-1,-1,-1,62168,230464,-1,-1,60982,-1,211795,-1,-1,-1,504809,-1,-1,284084,-1,465075,-1,548433,486075,683840,185908,-1,373911,-1,-1,-1,-1,268311,-1,498237,5547,974621,-1,-1,-1,-1,360540,-1,-1,-1,505035,319676,974663,811125,-1,-1,-1,-1,-1,-1,-1,-1,212980,59791,-1,-1,-1,-1,824681,411241,859690,-1,-1,840796,-1,102335,-1,-1,-1,532331,552440,-1,-1,-1,588529,337191,898635,-1,-1,91131,378627,-1,-1,-1,-1,288043,506888,-1,107551,-1,-1,718774,-1,788579,-1,-1,296829,-1,700723,385614,798852,-1,-1,199915,-1,75665,-1,-1,-1,-1,306521,965375,-1,-1,912928,-1,988658,-1,-1,-1,952252,-1,407807,162980,288836,-1,859369,-1,-1,-1,-1,-1,914843,250033,-1,-1,933324,158803,385220,-1,-1,-1,33521,918471,804513,-1,-1,-1,382490,947212,143240,-1,-1,835049,-1,309853,701409,908143,-1,-1,238389,-1,240611,-1,-1,-1,-1,84110,-1,804732,-1,-1,451358,-1,709583,-1,675322,178398,-1,-1,988644,824512,-1,239048,13995,-1,-1,-1,-1,-1,-1,-1,898689,416325,-1,-1,-1,73127,-1,-1,87090,707745,891383,752927,68140,-1,-1,-1,-1,716914,629070,-1,195060,-1,-1,-1,633478,-1,-1,-1,-1,-1,494140,-1,-1,-1,-1,649133,169240,175112,-1,516144,983655,-1,-1,-1,565270,206415,937323,957517,746973,-1,911029,-1,-1,658282,143375,-1,-1,822593,159336,527620,-1,141591,565850,-1,606748,-1,570699,-1,346046,-1,49876,296293,209139,812119,-1,781899,626926,888825,-1,790930,-1,422393,-1,-1,921217,532924,771971,-1,-1,250367,-1,-1,-1,402165,-1,941061,285908,93927,935090,357268,-1,785907,379519,243348,264679,-1,322920,-1,-1,424225,374410,-1,145508,726859,-1,-1,-1,212422,55315,495956,-1,829412,948901,610417,458733,784896,-1,574983,941194,429718,546071,-1,983232,213172,-1,-1,399140,662653,719608,-1,340520,273519,-1,-1,149424,-1,-1,313301,805196,156461,887940,-1,269453,596187,393025,-1,456940,-1,-1,-1,769187,783479,-1,187328,-1,578574,-1,-1,-1,747790,-1,470357,-1,962207,-1,-1,472512,249140,-1,-1,821634,521266,311818,-1,831446,-1,989842,-1,61657,-1,199537,140562,347666,661090,790041,-1,-1,-1,981134,34923,-1,915847,-1,961178,-1,-1,-1,769581,984947,621790,-1,-1,895914,997248,-1,-1,314729,949117,581930,-1,945675,-1,-1,186621,334151,-1,885421,-1,-1,-1,351698,911679,67382,-1,394899,-1,404464,316340,814236,979274,761043,-1,941712,-1,-1,-1,-1,590234,829633,-1,8251,-1,-1,-1,-1,-1,160236,215294,314419,198938,-1,-1,778874,-1,-1,274246,456643,-1,-1,-1,538494,870749,363294,-1,-1,-1,79669,841506,-1,993258,-1,156553,-1,745212,-1,-1,-1,314782,-1,-1,-1,-1,-1,53526,-1,-1,511941,-1,-1,980309,-1,686577,905327,819799,-1,533231,108590,-1,586085,-1,327484,-1,-1,302489,-1,286347,587844,-1,981283,-1,-1,-1,-1,822712,322685,595510,-1,-1,-1,22866,128947,944167,-1,-1,137534,127884,137634,-1,116729,683051,-1,-1,-1,24037,-1,693537,336490,-1,465338,-1,-1,-1,-1,-1,896250,252199,-1,-1,655366,-1,18668,926775,-1,-1,94410,-1,-1,-1,913645,-1,895251,-1,-1,81500,674983,-1,-1,-1,-1,-1,-1,404895,-1,-1,-1,-1,243948,566326,-1,-1,-1,-1,-1,174100,-1,-1,61188,324521,-1,699315,105923,949146,384986,-1,-1,169672,695099,784871,304552,356385,532221,-1,516262,596181,-1,189294,54033,-1,92083,-1,64429,733759,-1,-1,-1,417825,509582,-1,56738,-1,238642,-1,-1,667992,-1,-1,591418,-1,-1,-1,748320,754019,-1,134960,-1,-1,-1,-1,174015,-1,-1,593672,-1,-1,-1,-1,-1,329561,-1,373053,426982,-1,-1,-1,544219,926259,241992,793856,-1,418658,-1,-1,321289,-1,-1,324550,-1,-1,890790,-1,901995,678290,-1,-1,-1,867783,-1,-1,-1,-1,-1,961309,322971,183217,57114,-1,-1,613613,-1,188040,-1,-1,-1,963697,388736,-1,333916,-1,599478,53932,103416,-1,-1,-1,1281,661468,-1,898415,-1,215150,382487,436058,-1,-1,765330,-1,-1,859977,234711,-1,-1,-1,150900,-1,-1,615270,-1,471189,-1,-1,958983,-1,736043,402738,646057,-1,-1,-1,549363,277331,594830,-1,746156,-1,-1,-1,361125,816241,145638,-1,915388,-1,-1,-1,869894,-1,-1,906109,245014,-1,174105,-1,-1,693915,-1,-1,-1,361987,998600,-1,550245,932161,615569,477386,-1,-1,-1,267809,-1,-1,-1,-1,-1,946558,693536,-1,456792,-1,-1,-1,-1,-1,-1,-1,770234,-1,-1,-1,-1,954792,228981,-1,-1,588099,-1,763164,966203,-1,649437,-1,764197,-1,272959,-1,413656,-1,576160,-1,237064,313403,530000,330801,-1,952349,-1,416995,68350,575162,7638,-1,-1,610336,370644,778793,-1,421251,681001,98612,-1,389538,-1,-1,167845,861509,-1,-1,483556,813875,316119,-1,-1,-1,-1,-1,915411,-1,102000,-1,476364,-1,-1,-1,227487,-1,271550,799674,214267,420412,484825,227700,-1,506025,-1,731287,656796,82480,497306,583134,-1,-1,520038,949116,-1,-1,-1,-1,167662,-1,-1,575881,55347,529679,-1,-1,-1,192261,-1,-1,-1,45021,-1,265407,460292,-1,90835,-1,992042,-1,966327,418809,603336,87062,737105,982026,442538,-1,216491,-1,251216,-1,188186,774439,304715,220189,-1,704291,-1,114243,-1,-1,549533,649628,553412,862269,-1,-1,603476,-1,-1,280397,813156,-1,-1,-1,340225,196308,-1,355221,641048,266698,660584,-1,-1,140205,-1,-1,-1,879771,-1,797791,159979,716343,115349,87154,-1,-1,29608,-1,-1,-1,-1,462584,-1,-1,761018,-1,-1,-1,-1,288438,-1,-1,-1,76108,904781,-1,-1,261,-1,-1,-1,-1,827205,-1,993199,601320,-1,657035,-1,806268,795456,-1,-1,611269,-1,-1,882933,293427,-1,213952,-1,252015,432850,-1,172809,531079,-1,-1,472069,112537,622733,205381,-1,-1,-1,409604,908785,831384,-1,722441,454915,-1,713759,76418,982112,-1,-1,861238,-1,-1,169100,225354,-1,-1,-1,874818,-1,-1,-1,-1,-1,-1,228772,-1,-1,471499,-1,270060,444866,-1,292740,-1,-1,-1,-1,251096,289511,-1,84525,888796,244552,125211,760145,-1,-1,578251,242748,-1,-1,628119,-1,639094,20454,-1,619690,557122,-1,551565,-1,511981,21433,-1,909550,52942,957124,616628,-1,853095,842094,154917,-1,-1,95258,905865,518799,700197,190032,-1,-1,76495,-1,-1,424196,-1,-1,-1,-1,124589,-1,-1,87716,17539,-1,-1,-1,83732,220952,341099,671187,-1,-1,145336,-1,-1,688791,-1,-1,492099,-1,588715,727757,-1,-1,-1,827822,-1,464627,107982,-1,-1,-1,-1,-1,259815,-1,580552,-1,822248,-1,224610,-1,337286,-1,146808,-1,158330,648603,758744,825307,586293,172654,467039,317264,-1,684938,564385,-1,-1,-1,-1,217090,720673,738336,-1,-1,-1,618507,-1,-1,10867,-1,268958,390462,27732,-1,-1,-1,87197,-1,648765,282612,-1,360450,989032,538517,160259,-1,435837,433215,-1,-1,-1,-1,-1,-1,232703,-1,-1,716164,-1,9651,531807,181957,99445,-1,603743,-1,-1,-1,610165,-1,-1,-1,987742,642972,-1,-1,-1,-1,-1,310674,134605,-1,-1,-1,856739,-1,-1,450268,-1,925153,963156,-1,416862,440883,-1,-1,787201,-1,-1,-1,969670,225211,-1,-1,-1,725661,33600,254592,756899,213207,286546,-1,860053,780728,-1,702180,838737,-1,578,-1,-1,552377,377582,357134,-1,21239,-1,-1,145324,240985,932910,778582,363626,-1,358606,338364,-1,347691,892339,-1,668848,-1,349242,-1,-1,-1,815007,105664,-1,928202,34650,681893,528746,840577,666948,209916,921135,-1,-1,935654,-1,-1,-1,897341,886174,658919,-1,100726,-1,744584,-1,-1,229581,409288,466980,312783,-1,143904,-1,12350,459523,-1,682998,127087,397456,905950,-1,728523,246558,-1,872369,286485,817382,666440,-1,855095,452538,118393,471015,-1,-1,-1,175478,725781,643332,-1,160447,-1,-1,-1,-1,-1,137152,571182,368726,734077,43018,-1,960719,159846,883961,-1,-1,709948,677115,-1,124377,798780,-1,804670,-1,253164,-1,195535,381374,162942,-1,-1,491010,-1,30355,937846,-1,634598,668226,244503,234010,-1,255396,-1,-1,129064,-1,-1,-1,-1,-1,-1,777821,580187,-1,464744,994557,-1,382513,-1,-1,245664,-1,-1,-1,-1,-1,824417,-1,-1,-1,408630,-1,691206,-1,-1,-1,432807,152842,-1,482659,-1,929142,672360,147766,905941,947089,-1,880409,-1,-1,959942,655581,-1,-1,990313,-1,525289,62378,540644,-1,840826,-1,-1,271177,-1,212282,-1,-1,-1,723371,885963,297704,-1,-1,-1,404069,397081,340998,363907,590949,615217,-1,-1,-1,-1,-1,471609,-1,604730,562650,266743,-1,-1,-1,-1,892343,571076,28704,-1,-1,972750,-1,856857,-1,-1,-1,-1,-1,935003,-1,563252,-1,622187,-1,-1,699337,103477,982339,411881,32339,-1,3137,742831,283356,-1,-1,-1,-1,-1,-1,350096,771722,-1,-1,-1,-1,997678,566014,-1,141774,-1,906875,-1,-1,-1,-1,-1,978415,535365,879386,-1,38231,-1,245527,498968,-1,888284,-1,719049,810661,810349,907265,-1,294496,-1,739455,-1,183566,-1,-1,-1,-1,-1,-1,-1,-1,95666,-1,246169,-1,-1,181378,-1,961999,130170,27895,-1,962057,324817,920966,282743,185328,94345,-1,749490,435813,-1,-1,-1,796715,29535,22819,-1,-1,-1,385303,-1,238394,-1,85145,-1,-1,-1,-1,-1,40901,-1,112388,629578,-1,700901,-1,847512,-1,187851,-1,683289,553236,988893,111965,740185,991076,-1,-1,30405,550567,-1,68561,690294,-1,-1,590570,529871,-1,646474,-1,-1,926064,10768,-1,-1,-1,944921,582301,-1,-1,218596,-1,-1,924031,26147,-1,861533,-1,132769,981229,-1,860534,-1,816543,701712,750301,130136,148311,818043,-1,725200,664170,424288,877804,751891,252543,842206,22701,568841,-1,882071,-1,-1,9795,49259,844197,-1,-1,962662,-1,943698,824405,505530,575333,641457,-1,429843,-1,53667,-1,257031,-1,-1,-1,228534,453476,355933,-1,-1,285249,703880,713165,-1,-1,83288,643958,380730,884602,-1,-1,-1,-1,-1,734551,-1,14805,76882,101351,118327,-1,-1,691458,551124,-1,-1,776066,948870,-1,811017,-1,-1,-1,788846,849275,981745,396752,-1,952081,-1,-1,-1,748054,157835,-1,-1,-1,-1,-1,534278,872110,-1,-1,992560,451137,-1,-1,253698,352495,-1,-1,18379,780071,-1,-1,-1,559990,-1,-1,314029,-1,-1,-1,81404,-1,570613,-1,-1,-1,-1,93507,-1,-1,-1,-1,830235,-1,-1,308279,-1,523712,-1,452104,-1,534321,-1,560528,902249,160080,252699,268722,-1,-1,194398,-1,-1,-1,-1,793868,-1,281173,-1,830886,206802,-1,-1,382154,386326,-1,771306,-1,-1,353605,-1,-1,-1,-1,-1,967453,47966,73210,-1,254792,575863,591729,-1,23836,-1,-1,-1,-1,-1,-1,407059,-1,204924,507006,-1,-1,418763,-1,411700,441239,490248,909253,117621,619628,-1,-1,-1,724934,-1,-1,-1,568551,-1,-1,966140,-1,376536,742522,358277,906061,-1,741208,-1,100755,814940,-1,-1,264438,-1,841143,-1,405961,878076,-1,292450,404028,-1,203445,861550,-1,-1,-1,-1,-1,105255,574079,293392,-1,-1,-1,665795,74892,-1,-1,983159,476390,-1,-1,-1,-1,-1,456797,-1,-1,205527,707668,157357,610489,-1,-1,121542,14175,-1,973646,-1,-1,-1,-1,505987,636400,710368,-1,-1,-1,-1,894623,51332,-1,492637,-1,-1,811804,832990,757484,-1,67272,-1,606075,-1,-1,-1,-1,-1,-1,774614,290927,-1,727288,913345,545453,-1,936765,805932,-1,617805,705432,-1,821053,-1,-1,-1,-1,-1,374393,269515,420639,-1,766811,668562,675174,-1,-1,371099,-1,668807,-1,-1,647177,710336,-1,764404,824531,243129,-1,-1,777885,-1,-1,-1,369836,-1,-1,355022,754789,54062,751196,-1,596605,-1,628573,-1,612409,-1,-1,264836,456662,17919,-1,467762,-1,516116,-1,289718,698302,334420,-1,346217,226544,-1,675769,239374,-1,906493,-1,128269,358711,253319,937550,-1,-1,-1,-1,-1,158744,272969,-1,-1,774734,506854,334659,-1,506481,10225,-1,861571,440714,-1,-1,454784,983983,-1,-1,-1,402561,729358,-1,42962,-1,-1,957027,675656,985203,-1,647883,140698,-1,-1,-1,446612,764238,-1,841838,397054,-1,-1,493057,-1,112407,-1,-1,-1,241312,-1,-1,63682,-1,527322,294254,-1,182963,376342,-1,230001,-1,229766,911990,762477,-1,-1,81137,43194,-1,282583,478950,-1,992958,236427,-1,-1,305786,-1,237202,13015,20062,-1,-1,587177,46342,629457,-1,98007,305458,785663,281728,945367,49631,843218,761109,153310,-1,-1,424299,45894,-1,-1,735072,336520,416747,-1,-1,278122,349371,492254,520901,388684,219214,43724,-1,978081,189092,-1,-1,-1,826928,670950,-1,428212,376331,-1,-1,536803,-1,894784,-1,-1,115927,964119,802089,-1,-1,-1,-1,914459,295704,729176,138203,-1,685427,712790,-1,219632,859661,888633,-1,-1,-1,487,558477,518899,-1,-1,229673,-1,-1,807257,890433,751595,470470,946373,591872,-1,-1,-1,-1,716058,905651,-1,-1,444210,337789,206577,391484,-1,-1,382759,-1,-1,-1,-1,91491,813876,530420,-1,440377,-1,-1,-1,-1,-1,-1,-1,-1,-1,239064,-1,-1,-1,888443,128964,3142,27019,-1,-1,-1,650139,-1,-1,128790,-1,499486,-1,-1,-1,57232,-1,867720,-1,-1,-1,148799,-1,18955,-1,-1,302202,682863,-1,853870,-1,-1,809076,441156,451848,871314,522010,532411,-1,-1,-1,-1,-1,145946,-1,909766,653690,515621,324727,-1,-1,-1,-1,931440,930621,-1,-1,-1,502019,407781,-1,441409,-1,-1,173956,887336,880749,995090,434817,304995,-1,-1,552619,777649,-1,-1,884744,-1,628056,-1,819558,-1,910164,796344,67679,824665,566433,-1,-1,475761,-1,-1,-1,-1,517295,334475,-1,-1,32275,-1,-1,520965,-1,-1,-1,673862,-1,-1,-1,-1,979452,439446,715340,-1,-1,-1,319483,960436,515098,807635,224481,-1,-1,-1,-1,864702,330217,405471,-1,-1,302355,404630,148501,976466,-1,20363,466178,543356,279965,-1,-1,-1,506089,-1,-1,957284,82066,-1,20723,-1,592178,978422,-1,958206,-1,-1,-1,-1,-1,-1,-1,-1,613416,934432,543425,-1,283503,-1,-1,985743,960282,-1,256617,-1,118952,743904,-1,900544,606155,-1,-1,-1,511154,-1,-1,-1,-1,-1,-1,-1,389540,-1,-1,854724,-1,124638,-1,-1,-1,198175,-1,-1,911181,-1,526834,380197,-1,480643,-1,833236,214985,-1,-1,486715,932176,60614,-1,-1,-1,61958,16346,403151,-1,-1,812056,197393,-1,-1,565411,530786,-1,680123,-1,216773,469413,-1,-1,703119,-1,-1,187053,206447,815363,-1,-1,205124,-1,-1,952436,155738,538800,-1,115381,-1,832228,763327,474233,-1,-1,-1,-1,-1,-1,-1,-1,375923,-1,266206,979160,-1,-1,-1,395446,521009,887720,-1,-1,-1,786581,-1,-1,879556,-1,-1,-1,463402,-1,-1,-1,880036,-1,-1,688293,-1,-1,599225,563578,-1,-1,-1,-1,-1,-1,-1,-1,174743,725097,-1,47840,-1,-1,-1,392428,863919,-1,695701,-1,495084,674931,310477,542628,743709,-1,683700,663961,-1,809765,-1,266048,-1,943140,-1,175442,842357,368741,-1,841949,17788,-1,28109,139970,-1,-1,-1,315332,-1,-1,-1,304246,770862,49933,-1,564381,-1,546421,921761,-1,524036,-1,50902,702556,-1,-1,-1,302458,-1,796985,-1,-1,-1,-1,992610,-1,104643,771413,-1,826083,-1,-1,608440,-1,343441,266956,163090,-1,-1,865596,-1,336580,-1,-1,406097,-1,-1,519069,429949,281054,-1,-1,-1,709469,329656,210328,546623,752920,466121,-1,-1,498929,-1,-1,-1,340472,-1,-1,39850,-1,344078,-1,-1,-1,-1,300891,-1,336038,607621,-1,920840,605211,444943,-1,-1,72787,-1,-1,543944,731207,760734,-1,-1,-1,-1,-1,-1,-1,564965,440927,585971,-1,-1,-1,-1,-1,266365,530265,60418,-1,22375,-1,745628,578960,-1,-1,-1,-1,-1,73005,-1,-1,630932,-1,-1,-1,-1,-1,522825,946167,673191,856329,-1,-1,360003,-1,-1,318847,157445,292061,957069,449686,-1,664945,7378,723127,832280,6685,796025,48240,-1,-1,-1,730887,3504,800495,51601,580668,-1,-1,-1,186569,712634,90421,-1,-1,-1,32252,175521,9129,465571,93273,850959,-1,515911,31421,-1,-1,-1,755153,666299,295388,-1,-1,-1,-1,-1,114301,193635,24471,61642,-1,-1,846573,829050,-1,691296,373780,99424,-1,449211,-1,74476,178715,-1,185573,-1,88756,236163,128796,-1,365143,124428,527820,-1,-1,345884,958851,-1,-1,376506,569943,201346,342599,460357,838873,-1,-1,198683,-1,-1,873436,881666,-1,33909,-1,-1,-1,201287,-1,-1,113796,29350,-1,-1,969598,362465,867446,-1,-1,859854,-1,385520,-1,-1,-1,-1,871410,-1,-1,-1,-1,-1,345311,703168,-1,347176,198025,818437,651421,713839,70439,89314,-1,-1,852916,914464,-1,483365,-1,-1,-1,-1,-1,657229,-1,148874,-1,637007,-1,-1,-1,-1,-1,509234,-1,-1,255831,297360,154215,843500,9738,954502,62369,-1,-1,25253,430460,762780,166178,968777,445528,685826,-1,-1,-1,894726,-1,388142,-1,-1,124986,-1,346218,269738,865878,-1,-1,-1,940299,-1,302413,-1,941379,825742,313550,-1,302587,49401,613013,205751,64141,408328,-1,-1,-1,854886,613683,443816,-1,890713,-1,-1,541843,16635,-1,-1,-1,349323,-1,-1,960274,670315,491781,-1,865429,469721,-1,837104,668389,-1,954734,-1,-1,391862,-1,-1,736596,-1,-1,888457,613106,-1,283166,-1,-1,-1,-1,-1,132491,-1,-1,42981,-1,24781,109883,495806,-1,-1,730110,-1,96487,305844,989792,640725,-1,-1,609751,396404,-1,80017,861534,-1,-1,-1,-1,991947,-1,567981,-1,-1,46522,586263,-1,51022,-1,-1,192110,77477,-1,-1,-1,-1,-1,425785,-1,544142,-1,-1,-1,-1,-1,969174,-1,-1,332017,664662,-1,53595,-1,-1,799788,694849,504558,812829,500361,611593,-1,-1,856463,752436,59975,219114,562739,647516,-1,-1,-1,4224,-1,329377,-1,-1,-1,584131,-1,592787,-1,-1,-1,508124,930074,-1,-1,847950,-1,-1,-1,-1,363878,351347,-1,623954,-1,-1,184938,-1,730365,-1,893956,315504,-1,286581,30070,-1,-1,-1,547850,102495,-1,664819,-1,-1,556959,-1,-1,-1,-1,267277,-1,333126,-1,-1,-1,191496,167856,475814,-1,97702,-1,508314,530384,-1,762882,677317,-1,-1,25369,932918,236230,21310,-1,850972,796469,-1,-1,-1,-1,67306,-1,555768,-1,-1,65990,-1,-1,-1,17309,-1,872791,450365,404233,-1,-1,991599,-1,339386,104220,271969,556409,713189,-1,-1,-1,-1,686590,-1,-1,-1,-1,150807,-1,-1,-1,742581,935625,851478,513444,176467,-1,-1,-1,-1,279430,597651,314822,-1,210813,790026,-1,-1,-1,-1,-1,768545,291439,-1,-1,-1,-1,-1,-1,792626,-1,287128,53906,64805,309039,20661,272175,-1,47309,-1,-1,-1,154817,-1,-1,757433,262987,707613,-1,-1,-1,290723,531553,-1,861081,413888,448649,399838,944030,291810,298967,842697,286370,-1,344573,417323,650446,-1,538583,-1,901007,856429,-1,585317,-1,-1,-1,769272,489923,-1,-1,-1,-1,901050,-1,604833,-1,-1,535579,-1,-1,186864,828079,589769,-1,141143,704247,345202,-1,878069,-1,-1,-1,-1,-1,-1,155517,664891,-1,-1,843272,600625,-1,437166,-1,-1,27593,-1,466406,-1,767115,-1,-1,241658,-1,-1,-1,204487,-1,450331,-1,-1,-1,925330,764418,-1,750039,-1,558030,601165,267190,-1,201958,185984,-1,-1,753683,-1,805220,-1,250900,517761,-1,250059,-1,-1,-1,629321,581178,-1,-1,873199,316567,-1,-1,936376,-1,-1,76566,-1,434229,57434,227288,143731,489921,665025,97670,518538,162346,-1,865067,953583,-1,483552,-1,945651,-1,-1,502441,422332,435040,597313,67491,-1,-1,173041,-1,71500,-1,335452,155590,749553,-1,-1,-1,247380,612741,36358,271396,-1,-1,983878,-1,763093,403555,-1,-1,-1,-1,353994,-1,869027,886760,598800,-1,946788,-1,-1,632021,753444,10425,269821,627387,-1,496432,751561,-1,730920,841453,605636,-1,-1,685522,-1,-1,-1,236115,-1,47463,-1,440109,654442,-1,881326,779662,723406,571250,-1,-1,582462,-1,-1,361833,706967,867533,989194,-1,-1,141426,-1,-1,-1,614799,-1,371168,796580,-1,350530,-1,-1,838795,523834,-1,-1,-1,-1,857314,383014,648475,153180,691579,163955,-1,-1,142355,998645,206901,-1,571424,84181,510871,974753,286992,-1,864513,905505,979890,-1,-1,-1,437182,282546,880391,-1,794926,181323,469942,-1,32264,-1,-1,-1,651037,434555,317510,753766,476521,-1,-1,569326,982846,-1,-1,62067,880441,508353,-1,-1,-1,-1,220895,-1,660376,874813,407506,-1,-1,-1,190887,502065,-1,-1,37877,-1,-1,233389,773897,-1,287347,567922,148548,451190,-1,660122,-1,-1,169576,519858,-1,137673,-1,721511,-1,-1,975077,-1,-1,275511,302034,-1,-1,-1,930295,-1,-1,508573,-1,-1,-1,-1,810675,221931,-1,-1,-1,545815,-1,-1,354815,287355,196562,-1,-1,439986,557714,-1,-1,294792,-1,-1,-1,-1,-1,-1,666061,-1,-1,-1,761019,-1,390817,222799,-1,-1,-1,566992,-1,141845,-1,785148,442773,-1,-1,-1,868616,484549,354126,990945,760085,277278,-1,-1,-1,-1,765183,859659,-1,488976,138718,-1,-1,359332,-1,-1,-1,-1,-1,915182,-1,152520,379817,965192,-1,-1,86020,376812,-1,74303,314051,134149,971288,-1,-1,-1,194157,-1,675662,313117,5678,115995,-1,975786,439565,-1,-1,972772,-1,-1,507432,-1,-1,171028,327759,-1,-1,979940,159617,810700,-1,495898,-1,-1,785549,751006,794316,966716,-1,628857,-1,714200,455616,-1,198050,459793,264485,-1,-1,-1,-1,-1,-1,592986,-1,461762,186777,-1,206984,-1,-1,270984,-1,170534,-1,904115,-1,788419,-1,-1,835577,192884,766014,11874,-1,-1,-1,519378,-1,502812,150192,-1,529897,-1,840785,735358,10411,-1,742007,-1,-1,423576,614294,452634,784874,921558,-1,806859,-1,-1,896942,415331,886216,218877,302312,89622,498271,-1,918630,-1,-1,914703,82020,24749,500780,-1,-1,818878,-1,-1,-1,-1,926764,-1,-1,491824,515323,814343,-1,998829,141255,-1,-1,-1,336823,663531,-1,-1,694338,-1,-1,339381,-1,282383,-1,822202,735462,-1,352703,306483,-1,-1,511286,-1,-1,60540,90877,-1,-1,-1,-1,76889,-1,49839,959020,478140,-1,-1,-1,247262,-1,-1,-1,112333,815358,386953,-1,-1,57057,840815,245658,255250,-1,227280,-1,-1,975381,-1,-1,-1,271731,-1,-1,693924,-1,-1,-1,972405,8009,934663,-1,868837,-1,-1,-1,850589,-1,78831,-1,699460,-1,72750,299515,-1,440171,-1,834953,-1,602559,-1,19136,40859,-1,579799,957457,-1,-1,373179,464664,528180,-1,-1,248278,140558,161069,-1,580926,84628,152207,-1,993189,-1,-1,362919,61592,-1,-1,300327,-1,727346,31334,-1,-1,826677,-1,396039,-1,-1,-1,-1,848767,-1,-1,472235,836549,295367,-1,-1,224431,-1,709493,-1,398820,571531,379077,-1,-1,449158,-1,-1,-1,69506,-1,680201,-1,-1,-1,285055,-1,-1,-1,-1,401601,540111,-1,-1,-1,229602,505709,888583,-1,142940,-1,444811,-1,-1,-1,620499,-1,615902,29750,-1,-1,-1,-1,433307,-1,-1,-1,-1,-1,-1,-1,631770,-1,-1,143032,552328,-1,-1,-1,169858,933548,-1,521393,382791,240586,-1,931446,-1,285137,340633,842772,-1,531285,-1,-1,258877,678552,-1,643953,265541,-1,630391,457905,-1,-1,-1,-1,824786,98594,9481,396092,350265,978612,-1,-1,320594,-1,-1,-1,553370,837165,252626,-1,-1,-1,-1,-1,78175,634509,512151,-1,409387,-1,887066,-1,292097,-1,616800,349568,-1,785452,-1,-1,8348,554248,-1,318540,-1,799902,-1,-1,-1,507810,-1,599333,-1,-1,-1,-1,-1,-1,733235,-1,-1,-1,-1,-1,918636,-1,502916,-1,-1,965271,125906,347982,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,794540,-1,811587,911680,449685,943085,-1,-1,529334,-1,240817,-1,802830,-1,183681,-1,-1,-1,-1,-1,803191,384241,-1,-1,348228,951745,-1,-1,303318,-1,905657,-1,-1,909801,876941,-1,-1,-1,54965,640306,-1,322329,-1,368767,721682,669953,745423,-1,565013,-1,-1,210432,-1,279009,-1,-1,227873,454560,557047,-1,456522,-1,-1,-1,514921,-1,-1,844998,-1,-1,574523,949425,-1,410748,-1,-1,-1,-1,-1,-1,324636,-1,4365,277612,-1,-1,-1,288162,621490,383016,-1,-1,-1,-1,829867,395116,-1,993603,-1,455652,-1,37465,-1,26880,9445,-1,-1,-1,414754,956005,-1,-1,-1,-1,-1,820532,45392,-1,385919,-1,-1,264239,-1,-1,-1,-1,-1,407532,-1,118852,-1,905384,-1,120672,161455,619650,209004,704368,957984,659678,-1,-1,-1,-1,943194,149320,783546,-1,435961,396242,-1,179409,-1,-1,-1,-1,620883,-1,838932,-1,697238,-1,178402,191905,956198,-1,-1,-1,-1,881527,938803,-1,973898,524237,4140,-1,54899,391980,-1,171162,387629,-1,-1,-1,-1,478149,-1,542588,-1,216892,-1,-1,612754,749854,834597,832320,421743,467226,-1,-1,623416,665304,-1,821654,-1,-1,119068,-1,-1,-1,443464,-1,595595,-1,-1,-1,-1,-1,517701,-1,-1,811496,99095,624274,-1,114890,731882,-1,-1,-1,-1,-1,-1,817863,647586,626721,144225,55674,-1,-1,-1,113077,-1,-1,-1,931054,-1,-1,-1,-1,634246,-1,377976,372947,29368,712160,215023,654379,-1,427807,-1,634124,-1,-1,995600,68487,973382,-1,740300,991303,865976,476991,-1,71316,-1,551944,680414,532268,614069,-1,-1,-1,355449,180418,-1,-1,-1,-1,-1,-1,-1,-1,905397,-1,-1,-1,-1,479984,-1,83164,-1,582582,788539,-1,626870,534001,952876,416194,-1,-1,588263,244001,341812,-1,410438,747920,-1,-1,-1,-1,188937,-1,-1,-1,623443,-1,-1,19365,-1,-1,-1,-1,-1,29757,-1,34245,-1,875787,122252,-1,-1,-1,785092,465063,-1,121429,-1,291252,299574,658781,-1,-1,-1,-1,-1,851120,678676,490621,-1,429957,-1,604459,-1,-1,-1,-1,-1,836733,-1,321346,-1,945436,736431,85011,-1,-1,752033,244238,560672,-1,56552,-1,717470,-1,-1,-1,976972,257757,-1,-1,883929,962138,-1,-1,315796,-1,581773,-1,-1,-1,780893,-1,870614,807017,693330,-1,519204,-1,883785,763376,-1,796665,-1,-1,-1,-1,-1,-1,407037,-1,-1,-1,200598,799874,-1,746095,406387,-1,533131,595702,868796,-1,433001,-1,-1,250578,-1,224378,285147,-1,-1,-1,223295,-1,-1,-1,-1,-1,-1,-1,354213,-1,640198,906908,34571,-1,-1,173033,-1,951484,-1,587147,-1,-1,289671,-1,-1,-1,-1,901487,384421,-1,-1,-1,-1,60022,447726,238344,-1,-1,594335,706916,749334,-1,817319,321033,926489,897935,423221,-1,-1,402812,652562,630589,632133,857629,591689,-1,283603,-1,-1,259415,123268,-1,781948,507727,43770,941680,-1,-1,-1,-1,503030,-1,-1,399556,954088,-1,483016,152509,660973,-1,-1,523393,-1,-1,-1,204486,609825,721839,539274,-1,-1,-1,-1,529783,-1,-1,352077,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,223390,-1,831388,-1,-1,-1,-1,267767,-1,707957,-1,976884,-1,308847,-1,763001,100804,-1,358522,137041,978671,-1,-1,350703,330046,-1,103493,-1,-1,-1,-1,-1,-1,-1,-1,371589,-1,-1,-1,619256,902763,-1,665916,-1,554586,-1,-1,424010,606044,-1,221493,498709,-1,-1,-1,-1,650849,71003,186890,-1,-1,462828,605822,-1,169030,276549,570323,659493,24272,535696,-1,-1,-1,223502,-1,898923,-1,152787,-1,171122,-1,-1,611155,777599,830065,545197,-1,-1,-1,-1,722536,-1,740659,351666,-1,452425,297688,156308,978739,-1,272164,63437,-1,332186,-1,-1,110789,855423,527921,-1,246343,407371,-1,-1,201061,855306,993957,-1,124564,-1,75242,-1,-1,87257,-1,-1,-1,107415,-1,-1,775759,479722,530556,998036,-1,-1,436306,302591,-1,-1,20470,-1,-1,956579,-1,-1,-1,-1,-1,776866,-1,-1,-1,-1,-1,613504,-1,328694,-1,625664,-1,-1,707167,-1,-1,-1,849857,37960,279918,174766,773659,375603,145073,175795,-1,-1,-1,-1,166401,555570,-1,8450,-1,-1,523500,645924,733189,559184,66526,-1,-1,373978,-1,-1,-1,-1,-1,829859,166032,327534,-1,-1,-1,-1,353545,-1,838570,-1,-1,439418,471759,204141,195711,-1,390615,625753,-1,150981,-1,-1,-1,808522,-1,-1,198451,-1,210901,-1,-1,-1,-1,-1,-1,-1,332872,792071,501191,-1,-1,-1,-1,114975,848369,417247,590367,-1,-1,-1,364534,493603,952478,-1,499527,518038,798570,-1,-1,-1,903719,-1,737686,110441,-1,450718,-1,552737,-1,936906,-1,814796,-1,-1,226494,510217,331340,778474,324928,-1,272804,11813,-1,-1,-1,91080,961985,893165,699099,208365,494518,-1,650731,-1,-1,468678,839894,633302,231898,-1,-1,-1,740695,-1,612045,67433,153909,-1,586623,398280,-1,552295,-1,514278,979710,19053,-1,-1,-1,-1,572671,-1,-1,632588,-1,802950,-1,-1,215826,-1,-1,-1,-1,-1,-1,-1,757812,121389,-1,603410,-1,-1,268176,433386,932201,724680,-1,701176,219158,667891,-1,908960,106708,723773,27331,-1,-1,801286,494723,184252,-1,-1,-1,-1,858372,-1,-1,746384,344075,-1,-1,455544,668200,939770,-1,-1,-1,-1,-1,-1,536487,113930,175137,-1,475291,-1,-1,-1,92013,687130,-1,-1,-1,-1,-1,971937,-1,450719,652631,764543,941993,-1,-1,-1,250412,-1,-1,-1,-1,-1,-1,-1,-1,672919,988587,-1,342509,-1,470402,904086,402644,582656,-1,855808,-1,-1,299798,615889,433487,-1,181639,-1,815904,973397,204453,-1,-1,113167,-1,-1,-1,-1,-1,-1,-1,19882,603893,232599,-1,575903,-1,901379,-1,68583,73121,-1,474701,130124,437902,461804,340306,-1,478989,139215,262692,517765,-1,565932,117038,-1,-1,-1,799686,-1,274542,208520,-1,314731,876860,310529,589068,-1,-1,-1,805574,-1,-1,75087,929201,-1,-1,735794,-1,212257,357048,931779,727749,120449,-1,707812,699868,125588,459370,474783,-1,948144,357340,754616,416534,-1,623554,328845,-1,103186,919860,-1,-1,-1,-1,-1,-1,467940,-1,-1,477590,992203,-1,-1,93850,-1,-1,-1,939284,-1,140812,834665,569344,248702,-1,755274,-1,993499,69369,33475,157248,-1,-1,-1,-1,-1,-1,105676,-1,153509,262503,6223,597240,916116,-1,-1,800020,-1,-1,-1,384868,-1,-1,-1,-1,744401,366988,498842,210357,754814,-1,-1,-1,-1,-1,-1,-1,-1,93125,407072,-1,-1,-1,-1,-1,924831,-1,-1,-1,192111,694014,841464,-1,309817,772514,652226,-1,674066,-1,17656,466580,203639,-1,-1,497574,630284,629742,-1,35735,73790,-1,-1,-1,920245,-1,-1,-1,-1,-1,894600,-1,640768,-1,975591,582920,285520,-1,614890,548750,416401,-1,-1,-1,752968,-1,-1,532378,623848,388779,130130,-1,-1,-1,131034,-1,-1,490335,199791,883047,-1,-1,-1,-1,-1,-1,-1,867444,-1,384823,857346,-1,931731,-1,25378,646646,-1,-1,20646,776950,-1,975295,-1,-1,812717,-1,257966,348879,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,81986,201780,369302,-1,-1,402249,-1,437728,-1,-1,-1,27375,-1,954596,-1,-1,-1,749710,-1,-1,-1,467362,79952,-1,308181,274118,-1,-1,-1,-1,192844,-1,-1,-1,718979,816988,211182,604171,-1,-1,-1,279650,219127,-1,805738,-1,436280,-1,-1,-1,188403,27359,905047,-1,-1,-1,-1,398661,391044,47127,-1,11167,-1,614430,938301,-1,48214,115643,865806,613250,-1,-1,314909,-1,-1,-1,-1,222019,-1,-1,958823,605311,403293,90554,721354,482544,-1,866268,354781,-1,-1,135458,-1,-1,-1,233200,-1,-1,-1,824190,425139,-1,-1,-1,593638,422017,-1,-1,-1,7019,-1,333635,732565,-1,709238,750890,-1,35726,-1,195440,84668,-1,79218,-1,-1,106876,814872,-1,-1,-1,-1,-1,-1,443144,501159,-1,276687,186859,-1,-1,806888,-1,596934,380218,671200,-1,605198,631517,554203,716312,324708,390251,69224,-1,-1,828390,367020,-1,-1,326673,-1,747652,-1,900270,112087,716422,-1,-1,843192,-1,343189,830889,-1,400937,535138,-1,468105,-1,-1,9948,954299,754552,-1,-1,546366,-1,-1,958153,279931,-1,978624,792092,-1,451210,-1,-1,847295,-1,165688,466608,-1,-1,-1,-1,-1,-1,472524,716759,707233,-1,689973,-1,565137,-1,888672,-1,628280,-1,-1,769951,613386,793480,-1,-1,171530,-1,-1,342542,73156,898237,-1,714221,-1,-1,774250,369391,593808,-1,658607,-1,398215,889853,569635,944648,79524,325126,-1,-1,-1,270683,951911,457382,514684,46705,-1,-1,759119,640079,280509,-1,157865,312573,829375,217251,-1,-1,-1,370754,284634,-1,513717,313212,502709,611466,-1,948650,-1,569250,326063,400862,38563,583409,-1,-1,-1,-1,-1,896204,-1,956871,546140,-1,577288,820746,-1,-1,38104,116417,113215,866298,-1,528414,-1,419666,603840,897475,-1,359325,474026,-1,590389,216330,-1,-1,569614,259202,208338,-1,-1,898215,-1,-1,654206,475012,-1,725152,-1,1329,494767,449273,139838,448554,-1,-1,14595,889352,489311,-1,-1,466116,843668,419869,141439,601896,-1,-1,-1,-1,-1,-1,-1,327190,-1,626198,662208,514149,12664,473834,930987,329508,-1,-1,166472,-1,659671,-1,-1,-1,547701,-1,-1,703162,828985,729375,-1,-1,61967,349598,-1,822170,923094,804861,-1,635214,801700,108326,923378,159685,174908,-1,50501,975058,-1,-1,-1,507354,-1,-1,530999,761234,899591,669700,-1,523328,-1,316844,918762,-1,-1,916730,949572,-1,-1,646439,-1,923168,695853,-1,760350,426157,357047,455464,-1,-1,-1,24786,-1,711078,-1,327999,906171,-1,-1,-1,-1,-1,251421,336792,-1,173770,210749,682157,136306,-1,-1,-1,880630,-1,-1,-1,219365,993356,-1,-1,116669,-1,-1,598241,851273,-1,188552,198153,-1,-1,868909,-1,-1,846832,442339,-1,301770,233669,-1,37347,-1,840997,-1,622632,-1,-1,893945,107071,269652,-1,-1,425332,836569,448232,289668,-1,-1,-1,678025,910123,214248,328791,-1,-1,384182,575736,-1,-1,456938,425025,-1,991197,969116,681057,829751,-1,-1,-1,872746,-1,-1,458759,19372,-1,-1,109166,204322,904028,46891,908752,-1,77481,456171,-1,924402,-1,-1,-1,-1,-1,-1,202985,522080,-1,277738,-1,984208,-1,520011,-1,-1,388530,276140,613522,619438,-1,-1,521686,-1,-1,241684,-1,765882,-1,-1,-1,-1,-1,-1,795039,-1,217298,603258,-1,-1,-1,-1,615794,-1,-1,197857,32541,422981,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,716342,410826,-1,-1,339668,-1,236892,-1,-1,489021,-1,-1,-1,639586,101092,638358,-1,-1,889277,639548,566448,-1,437736,795730,-1,92425,305694,-1,-1,342074,-1,102703,407101,-1,-1,402169,622389,-1,194889,747537,-1,-1,-1,428384,-1,6732,-1,316147,-1,-1,772482,768111,-1,-1,841926,666866,225219,291213,-1,-1,-1,-1,-1,-1,715983,370427,-1,-1,472151,458720,-1,253218,803253,305303,776083,376072,-1,-1,24800,-1,550987,483645,-1,-1,-1,-1,937150,-1,-1,651837,676166,-1,-1,-1,-1,626225,351383,-1,-1,949763,950610,532037,-1,-1,-1,475088,-1,912708,-1,390781,648155,236918,634181,280801,552559,170329,-1,-1,127759,350250,547060,217288,-1,234670,-1,-1,307233,666870,934496,60433,-1,-1,149134,459250,-1,708445,-1,-1,69287,463463,968043,165841,-1,794242,468457,192602,-1,547470,-1,-1,650531,226967,-1,440735,-1,-1,531353,-1,829392,727395,279722,-1,-1,466895,638093,693781,802546,521194,992036,652731,-1,-1,746665,-1,441841,-1,122925,-1,-1,645043,-1,-1,-1,40144,-1,55238,-1,889492,625727,252113,-1,-1,-1,808239,915905,-1,-1,-1,311418,-1,890795,659210,687632,230925,-1,-1,-1,-1,-1,443578,-1,-1,-1,17119,71739,-1,-1,-1,-1,-1,901779,-1,878515,-1,-1,-1,-1,-1,-1,699054,-1,-1,671505,235139,855094,-1,198231,-1,844152,-1,-1,-1,223816,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,230442,351318,-1,-1,-1,-1,831644,-1,-1,-1,-1,358598,141623,948295,302768,-1,660211,954601,807394,684217,734666,-1,369347,178077,-1,-1,715578,-1,-1,698842,92561,944847,909404,-1,-1,-1,880786,-1,-1,-1,-1,972721,-1,-1,143724,-1,-1,-1,-1,338253,-1,-1,-1,251694,-1,-1,-1,758674,-1,-1,80175,826636,913209,644521,-1,47700,-1,582350,-1,-1,-1,109238,-1,-1,589624,679761,-1,-1,558658,-1,-1,-1,909331,549733,-1,-1,-1,-1,674905,-1,-1,-1,-1,-1,253294,923367,522282,-1,-1,-1,349308,-1,-1,868705,-1,-1,984962,-1,313147,-1,-1,626637,-1,-1,784486,-1,283391,-1,-1,929565,-1,-1,-1,-1,463410,828425,634508,-1,-1,-1,48213,-1,551126,-1,-1,873144,-1,374274,425568,603159,565167,-1,-1,-1,-1,218472,130440,-1,316439,218244,-1,-1,152916,504099,479793,716099,571012,-1,-1,865585,95503,85620,715428,832660,346324,-1,-1,-1,104009,107487,599119,126150,514290,-1,371508,-1,-1,50887,-1,-1,686189,70988,525774,-1,-1,369367,136257,-1,-1,873710,-1,-1,712267,-1,-1,-1,-1,165938,527229,689820,-1,-1,997009,-1,476109,363238,-1,-1,876653,205302,-1,631222,-1,-1,376068,-1,271695,-1,-1,-1,-1,153902,916025,-1,-1,-1,-1,487369,833502,405115,-1,324234,-1,753368,-1,-1,-1,-1,782829,281511,-1,-1,69571,-1,-1,-1,437161,-1,457524,-1,833706,-1,672540,790497,-1,741071,-1,-1,-1,-1,-1,121978,322904,383695,-1,933114,349228,-1,522239,757431,-1,57079,365273,-1,561844,60680,-1,461978,-1,-1,531791,340314,-1,-1,922586,651529,-1,580541,165509,-1,-1,-1,-1,-1,-1,-1,595939,920021,685592,864545,382474,-1,-1,-1,265660,-1,-1,994166,-1,-1,-1,-1,-1,13024,-1,318329,-1,-1,129095,-1,-1,592231,-1,-1,-1,906073,137155,286206,-1,-1,-1,-1,799084,-1,547204,-1,395373,739216,775494,-1,-1,-1,-1,542141,564227,769815,-1,726990,411554,7247,20481,-1,258821,-1,-1,-1,-1,965239,919619,405203,-1,-1,-1,-1,740248,390591,11931,-1,304796,515452,-1,-1,593456,302512,587183,-1,46525,697207,-1,557519,-1,-1,164104,-1,-1,471144,84108,-1,732438,613014,-1,-1,193936,-1,-1,198850,68046,-1,724230,548222,-1,-1,-1,811487,257482,536674,-1,72252,542939,-1,-1,-1,89793,-1,600503,-1,891895,-1,263781,-1,511935,-1,19690,759021,-1,-1,-1,-1,-1,-1,881864,-1,-1,-1,685610,309219,703109,809026,-1,-1,778925,25783,406598,502635,768376,549674,-1,440576,750515,-1,-1,-1,318141,20434,-1,-1,-1,734055,-1,-1,24555,-1,-1,-1,-1,-1,103638,-1,152848,513550,-1,115587,736622,518825,-1,600944,541388,977704,-1,-1,424581,750223,-1,-1,-1,-1,-1,-1,77972,-1,636084,571114,825475,-1,-1,695553,-1,-1,-1,-1,-1,-1,464454,606174,791479,391595,-1,605298,-1,-1,940574,-1,714250,-1,-1,-1,244813,89953,970107,132936,65270,-1,444157,168835,928546,116769,684951,-1,877327,398164,-1,213925,384869,373180,365602,-1,669678,-1,-1,138968,-1,898006,644412,789717,-1,571221,-1,382073,303072,727605,219561,387134,535001,822301,170992,681908,696015,338014,-1,-1,829804,-1,798024,-1,-1,567134,622675,-1,-1,251368,472634,120317,897640,-1,63790,565122,-1,118736,-1,590964,-1,842881,292258,548767,-1,624917,-1,69314,-1,-1,-1,679794,-1,-1,626715,56029,-1,-1,-1,-1,-1,526039,907714,541037,-1,-1,746326,-1,-1,-1,453417,-1,-1,566817,216660,-1,950462,-1,-1,529163,-1,105333,-1,-1,-1,775219,736281,-1,-1,-1,-1,601875,764017,-1,-1,438566,-1,254673,-1,673497,-1,-1,957149,999787,-1,146355,841359,-1,426006,290973,-1,634004,-1,540895,413375,-1,-1,377979,-1,890931,-1,135397,-1,626763,987764,-1,364712,-1,-1,198628,70946,911045,-1,-1,-1,686265,-1,-1,144012,304030,706633,731746,-1,-1,-1,-1,291362,-1,192390,-1,-1,946276,-1,37005,955482,842764,-1,660411,682710,-1,161438,-1,803555,147874,657555,737752,-1,-1,503021,63740,66903,141603,423804,-1,974457,304667,466521,305494,-1,33388,201607,500101,184521,377499,408971,-1,-1,-1,-1,-1,359853,-1,-1,485625,713999,-1,-1,489750,190408,248,572124,370546,585549,-1,-1,2105,-1,-1,449653,-1,-1,-1,-1,621901,844062,101637,-1,756511,257311,879141,55526,38265,151912,-1,639916,851577,-1,351991,318091,961709,956697,743006,205728,-1,-1,-1,906786,-1,38659,-1,634527,-1,-1,250577,-1,724124,-1,-1,-1,812971,-1,-1,-1,89297,-1,-1,590368,-1,935167,-1,-1,864411,523428,466348,-1,583067,-1,106961,63462,-1,-1,147459,-1,920339,-1,-1,-1,-1,-1,96626,-1,-1,567126,-1,-1,-1,50524,-1,-1,591492,-1,-1,597880,-1,-1,-1,-1,-1,551725,527768,839320,-1,615368,851677,454240,385370,-1,359300,-1,-1,971385,105528,273093,181751,-1,-1,-1,42182,-1,550031,229097,824607,-1,-1,-1,947567,95507,-1,-1,-1,4225,-1,-1,-1,-1,926381,866750,844118,868053,580892,881120,-1,-1,-1,401266,-1,862125,228617,827209,325966,-1,-1,-1,-1,322713,973926,441515,109446,293757,470615,-1,464979,591870,-1,-1,-1,-1,-1,574334,392624,80724,654819,-1,-1,163287,117865,120196,228887,337274,602909,-1,-1,861117,-1,494710,-1,-1,-1,296385,470773,437014,422576,-1,-1,-1,-1,170946,-1,-1,763821,-1,470692,-1,-1,-1,-1,770604,-1,292824,-1,686108,-1,176531,-1,848807,-1,-1,-1,-1,117527,693062,609885,-1,338576,-1,-1,-1,94300,-1,212862,-1,935293,775905,-1,466374,-1,627818,148536,273188,-1,889857,395939,-1,65184,136603,-1,797004,-1,-1,472474,488381,549095,-1,-1,259676,-1,-1,652228,986521,-1,-1,866827,552492,407689,-1,182451,-1,-1,-1,24711,267637,596240,503575,-1,316191,-1,-1,-1,-1,44999,113856,223478,-1,-1,-1,694016,-1,-1,737633,-1,259529,507614,661025,413988,-1,298842,-1,617804,634185,-1,-1,298788,10570,-1,573249,-1,396715,801802,-1,440297,-1,245383,-1,-1,353468,656435,-1,-1,762668,544189,-1,-1,296142,904550,-1,537520,536900,-1,-1,-1,-1,-1,-1,700312,634023,293954,563814,-1,-1,586537,-1,712128,-1,-1,415800,-1,-1,-1,193860,629372,-1,277792,216348,-1,439276,439942,-1,82658,110352,-1,20120,870187,58909,-1,-1,930637,-1,723013,402560,801253,900758,-1,-1,697698,-1,-1,-1,-1,974177,-1,-1,778033,-1,55734,-1,-1,151421,595958,-1,924278,546583,891925,948075,-1,-1,-1,410998,250470,89884,40675,773519,100163,-1,-1,-1,-1,-1,242353,75396,910958,60581,-1,956460,-1,599709,828931,72527,5646,171462,-1,-1,-1,62035,-1,433259,558279,-1,-1,840360,-1,-1,-1,799763,-1,-1,455532,-1,724540,433613,204921,-1,485266,-1,268248,550198,962748,8674,301627,458126,-1,886624,-1,61363,600858,716223,-1,690025,-1,936766,-1,965574,-1,-1,557462,-1,764334,413385,-1,-1,-1,72622,-1,664053,-1,-1,743121,-1,-1,-1,-1,-1,-1,998285,943351,-1,-1,414909,198392,-1,959930,-1,854186,-1,41952,-1,635853,-1,-1,-1,348544,41641,289418,-1,-1,869167,-1,-1,-1,740900,390733,-1,245764,138128,-1,527784,-1,-1,304449,688772,605141,-1,-1,-1,491003,772371,-1,364779,-1,639839,441853,457628,525490,522570,-1,568555,922484,-1,161980,132030,122033,-1,413108,488845,-1,-1,125402,388915,498087,-1,-1,557411,725276,-1,-1,917325,-1,-1,281663,268394,-1,705999,772432,345662,-1,-1,-1,-1,973827,-1,5253,-1,360303,-1,818058,114797,-1,-1,236510,-1,-1,12897,-1,-1,371756,-1,-1,299949,285432,-1,-1,-1,-1,-1,-1,-1,-1,-1,452392,423768,191323,-1,-1,-1,-1,757689,590258,739009,-1,591747,-1,-1,-1,476759,-1,525687,787350,-1,-1,56263,-1,966329,-1,354656,167553,-1,-1,-1,411985,-1,547275,837799,-1,-1,-1,-1,-1,-1,201502,-1,-1,965387,942577,-1,-1,241984,755777,-1,882492,-1,27737,598345,592128,-1,-1,388361,806992,-1,-1,502489,849684,-1,453965,-1,-1,215382,-1,309761,160895,-1,992692,647142,288527,-1,108372,-1,122576,-1,-1,-1,-1,-1,-1,623184,247960,-1,-1,-1,-1,-1,389658,-1,557382,531713,-1,-1,-1,120720,-1,645167,132473,-1,988661,-1,322555,-1,294954,-1,-1,-1,497207,849761,683522,-1,477891,-1,260433,847034,-1,344399,899525,258671,146103,651907,-1,461716,720753,343948,922751,-1,305252,225666,459786,-1,-1,-1,276209,316371,-1,-1,-1,-1,976518,763575,-1,784688,589555,-1,-1,-1,424992,-1,-1,992383,1289,955941,8964,858155,201269,-1,678701,62644,-1,909301,564280,457354,-1,106328,-1,-1,-1,299097,960578,93996,421005,990209,-1,958295,317286,656140,-1,-1,-1,207366,157531,-1,374850,-1,576560,-1,-1,68686,-1,80993,-1,-1,-1,417602,753793,-1,-1,-1,409539,-1,921565,281017,51148,-1,270428,-1,-1,-1,806458,794346,295807,283948,931434,-1,-1,586080,-1,61500,654054,505494,799012,-1,42158,-1,317202,-1,557731,809957,-1,-1,-1,24940,-1,230362,142506,-1,-1,-1,504989,-1,676357,-1,658616,47619,-1,-1,-1,-1,-1,-1,380706,-1,93103,-1,-1,-1,-1,800811,-1,-1,938808,-1,212381,-1,-1,-1,-1,994852,-1,-1,-1,-1,999106,934390,-1,688861,533408,-1,-1,-1,145529,-1,899021,-1,-1,908984,527546,-1,990097,196849,-1,675678,-1,-1,457902,11197,-1,90926,926223,111154,-1,-1,-1,441257,658683,872755,816777,38571,-1,372052,-1,997947,584290,-1,89607,825928,-1,-1,244504,-1,-1,113412,-1,888291,-1,-1,704672,-1,-1,772362,132075,-1,794662,-1,-1,514179,-1,759260,-1,314655,751497,-1,-1,-1,-1,-1,-1,62899,-1,691211,-1,322089,-1,450608,64160,-1,117087,-1,-1,597281,-1,475748,-1,999569,-1,-1,-1,282178,506833,758470,996951,-1,-1,-1,-1,-1,-1,596614,-1,268156,516751,-1,-1,-1,986145,828203,-1,-1,-1,778309,565765,-1,794711,993883,212912,169990,-1,865814,74036,606196,-1,-1,794900,470373,-1,-1,750667,-1,708971,425136,-1,109825,552837,393194,-1,932149,-1,-1,-1,3823,577055,-1,35747,-1,528007,320871,-1,100233,-1,-1,262366,-1,-1,537662,982649,-1,845076,641984,-1,-1,-1,958067,-1,508688,767065,-1,-1,-1,-1,-1,930787,911196,-1,-1,875882,928600,-1,759416,418621,62947,708945,-1,317853,531804,-1,140478,-1,-1,354875,261744,-1,550333,-1,303333,250676,24848,-1,718758,935665,-1,-1,898453,947680,904080,-1,-1,-1,-1,-1,-1,192047,774563,-1,-1,236637,426582,-1,-1,-1,-1,-1,776607,391162,58611,53518,7403,-1,-1,71246,-1,387524,385289,78614,-1,-1,626648,-1,796861,902543,760453,247791,542302,-1,-1,-1,-1,126637,-1,-1,741936,551903,947445,-1,-1,532157,-1,836792,629620,186244,771283,-1,-1,-1,224279,-1,506081,173089,-1,-1,-1,-1,-1,-1,-1,379881,-1,424035,-1,158110,435597,-1,-1,982274,365507,-1,-1,945536,-1,565931,-1,-1,-1,-1,-1,225889,738301,731913,-1,-1,61886,274837,-1,55951,566546,543725,-1,413327,468279,888736,980841,-1,52709,-1,-1,487483,-1,-1,140778,-1,-1,-1,-1,-1,740509,-1,-1,513740,148690,-1,803894,562328,-1,-1,247476,-1,249907,-1,775707,297667,809020,614407,-1,-1,173276,-1,-1,51443,303200,-1,-1,618023,-1,-1,765012,-1,330503,-1,71942,-1,319150,677706,-1,286705,614666,-1,283873,-1,-1,-1,113899,-1,-1,-1,759972,655492,621501,-1,371410,-1,111996,313527,-1,-1,557427,111296,-1,-1,774500,929741,-1,10234,-1,193628,584583,-1,-1,-1,-1,-1,-1,587793,645374,308749,710804,687276,-1,312503,732727,-1,5944,-1,-1,509818,-1,-1,-1,30481,762061,-1,318316,554792,15084,559816,909441,-1,792554,158233,-1,536095,-1,-1,-1,-1,-1,21704,-1,-1,187787,-1,-1,163545,-1,-1,-1,824934,790372,-1,517924,803378,518555,-1,988490,-1,904413,-1,847515,36996,139157,737942,-1,-1,-1,-1,756766,-1,-1,-1,826204,533230,865745,101163,120242,539521,-1,668131,-1,-1,166982,-1,272428,-1,-1,-1,-1,-1,892170,577387,504646,-1,-1,-1,707715,-1,-1,-1,-1,355013,-1,-1,-1,974479,-1,-1,-1,192379,-1,-1,290980,961908,617181,198129,-1,199387,176445,776049,-1,592710,967777,-1,-1,-1,-1,-1,-1,-1,-1,234088,925070,-1,-1,-1,722832,-1,470244,-1,-1,690197,467100,-1,-1,-1,-1,-1,-1,-1,236280,-1,-1,69592,873894,916783,-1,-1,386177,-1,-1,242147,-1,615747,376011,-1,-1,576344,277754,-1,-1,548681,-1,502345,761553,-1,-1,-1,-1,-1,792730,735027,-1,154325,272790,-1,524549,411758,184198,-1,-1,903664,836883,806027,559294,806993,-1,887450,22696,-1,-1,-1,886613,213799,414547,302412,-1,-1,979568,990060,403781,-1,-1,-1,290309,664614,-1,951413,333953,386980,65940,436507,725369,510422,293097,971799,146678,419564,-1,255424,755253,567621,-1,663267,-1,379210,585755,-1,-1,-1,-1,283278,-1,858426,452742,-1,449073,865921,-1,-1,268019,280600,730169,-1,-1,16253,-1,871552,-1,-1,-1,-1,585924,-1,-1,-1,-1,583199,233635,103337,940834,537103,739888,-1,-1,-1,426461,890551,909945,982254,733277,710069,-1,462919,-1,996395,-1,-1,370271,833478,967306,-1,787701,612469,-1,855207,-1,729918,-1,-1,265490,173782,-1,-1,-1,-1,106114,-1,348741,204406,-1,-1,802696,53902,-1,-1,872955,-1,-1,-1,-1,-1,948141,743737,-1,-1,411282,233562,552470,-1,-1,174429,653231,297552,-1,-1,-1,-1,-1,-1,822197,711400,-1,-1,356877,432102,236698,651819,765459,753661,-1,372210,-1,-1,883468,-1,-1,-1,445782,-1,-1,784637,-1,-1,-1,736476,494464,-1,-1,133937,559578,-1,656350,-1,-1,364804,374798,731024,591693,-1,-1,766130,625221,830994,-1,-1,408972,681734,-1,970823,801825,-1,-1,627858,-1,949612,896148,732556,589519,775100,956180,525122,-1,-1,-1,-1,-1,-1,649539,698389,-1,-1,-1,-1,339777,364710,-1,324402,184094,-1,353959,1090,995226,-1,213552,475208,321524,-1,-1,788136,432954,622037,-1,376728,-1,-1,-1,-1,985435,692090,332715,-1,-1,-1,-1,-1,591679,583015,-1,792423,303480,-1,266902,-1,649194,531848,885385,-1,771749,-1,-1,-1,879317,-1,966642,-1,-1,589527,38600,-1,-1,-1,-1,-1,-1,804889,-1,-1,-1,404737,-1,720176,725811,198592,-1,-1,-1,230232,781896,878332,936801,-1,-1,-1,121452,658154,-1,691115,106538,130792,-1,-1,-1,395191,-1,912695,715170,67962,-1,124530,430366,-1,-1,579194,920702,-1,481754,700482,-1,144434,722148,-1,358726,-1,683860,131315,497838,781522,-1,-1,930292,-1,836984,352897,-1,379104,990242,415009,717216,-1,782971,470365,874569,227158,-1,-1,899039,404815,-1,604889,623301,-1,-1,-1,927317,820145,-1,-1,-1,982671,-1,734050,999775,477860,3365,-1,-1,-1,527008,3773,-1,-1,894876,302934,-1,460726,-1,-1,376576,-1,492986,747455,-1,40822,-1,-1,537256,888995,-1,-1,53322,-1,957567,215092,-1,679789,697376,-1,-1,-1,-1,290982,-1,-1,500798,-1,-1,-1,-1,356602,912686,-1,-1,217041,-1,12880,607672,760493,-1,354207,-1,234149,240579,-1,-1,-1,312674,592118,256333,-1,325621,-1,-1,-1,675371,581190,938671,-1,399066,-1,-1,734833,806917,323769,-1,396291,135565,-1,-1,734456,233851,719601,275559,156076,944290,-1,127010,-1,357466,729284,21823,435793,-1,-1,-1,-1,663498,543518,46406,923058,398573,-1,234370,698677,-1,218796,268695,-1,-1,-1,-1,-1,-1,568450,-1,507270,-1,-1,-1,34042,98741,860426,-1,293132,217238,-1,557799,908551,279233,-1,920169,-1,349746,-1,803060,459551,-1,58193,186951,237732,153013,686385,795755,-1,218177,229938,-1,91209,987621,-1,281776,-1,-1,-1,82767,551305,562822,-1,-1,-1,-1,497298,253440,-1,-1,-1,803470,600061,-1,388973,-1,569572,-1,943605,635305,-1,142473,-1,-1,-1,-1,-1,799135,956825,153577,-1,-1,553018,-1,224019,40211,611976,552070,-1,437599,535749,-1,31991,314950,201803,20233,964274,109325,483273,-1,310579,-1,548839,-1,-1,76573,193966,803845,709557,-1,835095,-1,467758,-1,-1,828581,781913,120153,-1,-1,-1,415134,646154,-1,610184,-1,-1,-1,-1,-1,550942,313038,-1,-1,648932,28417,374054,286294,20175,-1,-1,182112,-1,483630,-1,482574,-1,941420,360841,796124,844299,612192,-1,-1,-1,-1,926030,-1,459982,621328,656930,-1,962514,-1,-1,-1,-1,-1,-1,577859,962340,-1,51981,878697,742146,259704,-1,406432,229705,149858,200817,-1,-1,784738,587576,-1,448976,969954,605649,866238,-1,839495,719867,419944,-1,962376,926677,-1,-1,182929,176525,469139,-1,-1,334064,252262,470889,434579,670547,-1,-1,-1,93126,135135,492315,23523,174125,-1,448162,272700,-1,533870,490324,-1,-1,897621,201982,-1,-1,-1,-1,-1,805837,476599,752762,391441,168529,-1,428181,-1,846804,436537,-1,-1,-1,146625,471327,-1,-1,-1,-1,542818,-1,514121,980164,-1,982860,-1,-1,521462,34991,-1,-1,114203,-1,-1,838774,936639,-1,-1,-1,-1,-1,-1,-1,364153,381248,698019,199153,162668,-1,935396,-1,-1,-1,-1,-1,327122,-1,480983,23558,111620,396691,-1,-1,918258,-1,-1,-1,-1,65005,714006,-1,715356,115048,-1,-1,-1,-1,651174,562681,-1,-1,-1,236697,-1,566618,598981,443372,376012,-1,846714,-1,169316,-1,863215,99977,535803,-1,-1,-1,628631,-1,325212,469354,-1,206379,-1,-1,17034,-1,-1,348943,-1,388245,-1,-1,-1,-1,985658,-1,487301,785548,829288,708131,-1,191620,658418,52723,-1,-1,-1,95607,-1,-1,-1,462434,-1,-1,156235,901137,967122,760415,688809,770292,295607,-1,-1,470455,-1,-1,-1,959542,-1,-1,-1,65343,-1,43554,797873,675137,823998,370484,-1,-1,-1,-1,237471,-1,-1,-1,-1,475250,-1,717084,789540,-1,-1,282853,98622,-1,895079,969488,-1,-1,716783,15002,380620,-1,-1,-1,-1,-1,989600,-1,-1,-1,-1,-1,346448,-1,-1,-1,-1,-1,504101,234585,-1,-1,-1,278750,-1,810533,788512,403342,-1,-1,976693,48610,535502,357251,866666,406110,462885,-1,-1,-1,-1,106602,714516,-1,192231,560248,-1,536950,-1,-1,748692,590795,984034,830187,-1,80949,-1,-1,661409,-1,-1,-1,761400,742360,-1,289638,-1,277698,-1,851003,646424,-1,-1,96518,-1,-1,-1,852097,-1,263658,-1,-1,-1,-1,-1,-1,-1,-1,545230,-1,809801,912588,-1,617368,-1,-1,436532,-1,960151,-1,16446,752883,643470,-1,-1,-1,-1,511678,-1,669745,93613,-1,920119,575450,-1,812128,742918,-1,834926,-1,-1,661343,-1,72079,517861,229135,688171,474173,648253,669639,253954,-1,-1,-1,-1,-1,287357,316051,199201,333002,-1,761455,-1,249059,-1,-1,-1,498485,-1,-1,883239,563711,-1,18025,234287,-1,191466,-1,988497,169413,979144,316901,52565,461202,-1,343518,-1,85786,-1,-1,547952,-1,-1,-1,392554,-1,-1,-1,-1,-1,-1,-1,-1,468112,831807,457322,636151,280560,139579,381118,-1,-1,-1,-1,219317,378273,-1,-1,-1,86264,-1,-1,-1,891847,-1,17319,839782,-1,-1,-1,-1,115304,-1,139165,790277,971031,565053,988815,-1,-1,-1,-1,568188,-1,-1,-1,-1,-1,220428,695793,-1,-1,-1,-1,681496,-1,649933,526537,577265,-1,-1,141568,484751,-1,-1,-1,558896,-1,218459,-1,-1,-1,-1,274180,801141,336610,138934,899402,625010,-1,98460,704738,865575,937258,919485,-1,-1,631417,888363,790289,-1,-1,-1,739441,168766,-1,903585,646757,878083,-1,582015,645213,-1,-1,-1,153389,323866,-1,324592,600073,344168,321175,-1,-1,165546,-1,-1,-1,-1,-1,682456,-1,823733,949877,558478,-1,510218,-1,805587,768792,340536,-1,753366,-1,548133,-1,-1,926598,-1,663689,-1,-1,520620,-1,-1,598085,-1,534528,-1,831691,-1,-1,-1,875023,-1,812218,893678,-1,-1,396035,232268,-1,161635,-1,469570,-1,-1,170609,993021,-1,-1,-1,515957,55475,-1,-1,882562,-1,871925,-1,661278,-1,-1,783160,970517,-1,607559,932925,-1,-1,-1,-1,-1,-1,-1,-1,-1,162563,-1,-1,15498,503618,878114,208103,217813,-1,959369,-1,878040,-1,-1,439090,319200,-1,-1,-1,-1,-1,-1,-1,110953,397436,243037,664197,718912,-1,-1,909267,33314,711371,724554,-1,60307,514079,263901,-1,-1,874088,74910,235997,-1,-1,-1,206630,-1,-1,-1,81081,-1,-1,848345,351714,250986,-1,810851,958455,6461,445196,552649,735978,475719,326141,951959,-1,220492,-1,-1,474202,395177,88613,267191,-1,320687,-1,-1,805581,833499,738925,-1,18851,-1,-1,-1,-1,-1,394075,-1,263684,-1,-1,684787,-1,999906,-1,710098,-1,-1,408772,-1,512013,696803,-1,-1,-1,-1,664106,295530,-1,587846,268520,870577,-1,-1,639542,646037,-1,-1,148738,390878,-1,958710,-1,-1,-1,387599,801180,743787,566211,250449,911457,725749,-1,-1,-1,567156,860519,463178,-1,-1,-1,-1,-1,644856,-1,321614,-1,582007,193978,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,444556,940630,571027,324230,-1,-1,57047,-1,415393,-1,-1,732545,595363,43990,565788,-1,-1,577641,-1,891447,-1,400014,-1,600198,-1,-1,-1,768672,412088,-1,725613,-1,447757,-1,758294,34800,573478,13659,-1,111908,228949,503042,560652,24805,-1,-1,-1,229841,-1,889775,664920,-1,600143,157240,540091,-1,917636,-1,312140,-1,-1,445326,-1,243618,-1,-1,-1,-1,513449,-1,-1,164235,-1,-1,728126,-1,-1,29537,711370,55089,-1,571545,-1,-1,-1,-1,116331,187870,-1,226558,395811,838083,-1,-1,580698,159933,231171,-1,310990,-1,679954,992379,878361,437720,379921,983385,-1,-1,666608,-1,735009,915406,-1,-1,493520,-1,163382,988998,-1,-1,505376,-1,-1,-1,431283,801830,-1,-1,797662,220213,-1,-1,581480,285685,363739,-1,-1,-1,580654,-1,-1,-1,-1,882152,-1,494256,-1,-1,-1,151176,-1,-1,-1,482141,-1,-1,-1,318101,871308,-1,829637,-1,-1,-1,-1,896056,-1,-1,347512,131577,-1,867688,-1,-1,-1,83145,-1,-1,82960,15939,324462,-1,-1,71233,702235,394371,155409,-1,535496,476903,-1,-1,409694,-1,44964,-1,42078,359017,-1,511118,-1,822891,303313,-1,341535,672196,732923,931297,-1,-1,-1,84270,-1,-1,427133,-1,125335,-1,-1,-1,-1,552034,394983,971995,-1,-1,-1,-1,625661,-1,132849,-1,-1,883535,75835,-1,739743,45882,499624,-1,-1,580310,631522,690850,696651,-1,146274,-1,-1,433420,-1,377205,-1,198454,-1,238271,-1,-1,621533,-1,269122,360698,546394,-1,-1,-1,838152,677530,70608,-1,-1,687692,533622,-1,-1,-1,-1,-1,928741,381807,653518,221368,971872,-1,793065,-1,914461,737518,399353,178751,572885,-1,-1,-1,119429,734208,437974,-1,-1,546265,980669,-1,-1,-1,-1,-1,-1,664025,937876,268693,-1,-1,-1,-1,26602,939630,-1,-1,992663,-1,-1,-1,12757,759412,106541,177234,-1,714222,-1,-1,-1,905508,552016,-1,880898,-1,-1,-1,-1,662394,-1,-1,-1,-1,-1,729308,631904,-1,469292,110502,-1,-1,-1,880101,437068,-1,-1,-1,-1,646021,227548,278799,-1,-1,-1,-1,806753,868979,-1,691365,-1,-1,-1,-1,-1,631285,732278,-1,245517,-1,282025,-1,782605,-1,-1,580316,-1,935524,-1,741651,226653,583039,-1,9509,-1,-1,-1,-1,795103,81165,-1,-1,-1,264012,476753,250741,360016,-1,-1,-1,579819,-1,-1,522134,562174,818183,-1,-1,194820,-1,-1,299915,973599,497757,-1,-1,172367,518969,-1,256972,546896,270691,-1,-1,543874,-1,297111,142630,-1,521823,116956,475319,-1,573045,-1,-1,-1,550810,-1,-1,715797,136913,-1,-1,-1,-1,-1,158081,54892,211,93787,-1,864330,-1,-1,970932,508255,-1,119980,-1,-1,-1,-1,-1,-1,492671,-1,110619,-1,370352,177737,173102,310244,266840,949066,-1,33978,-1,-1,675006,399999,940764,927245,-1,154785,-1,-1,480939,424186,-1,-1,-1,836588,546817,-1,203567,-1,-1,-1,974335,273087,-1,743760,-1,-1,-1,365744,937923,-1,453116,590667,-1,-1,449624,-1,263578,758690,-1,428105,917231,452100,-1,483225,40680,-1,-1,-1,-1,132709,831689,-1,468806,495483,-1,-1,-1,101801,930609,-1,133648,-1,282800,616369,-1,-1,115895,-1,712815,-1,-1,482040,-1,423910,326687,-1,879777,-1,993635,838160,-1,-1,-1,258221,-1,143545,-1,-1,-1,343448,-1,-1,-1,358442,752810,-1,-1,269585,-1,-1,-1,-1,-1,-1,-1,259508,949475,-1,-1,-1,-1,842471,494601,522608,396146,109187,-1,196386,-1,467313,820511,979275,138187,-1,-1,904738,-1,-1,856170,-1,935048,836112,399199,-1,-1,-1,-1,381384,-1,47726,131177,684151,718833,490837,647630,108607,-1,-1,849767,-1,-1,-1,541623,356904,-1,368863,-1,837364,-1,279388,825078,-1,-1,318927,853476,256703,531027,-1,491116,-1,-1,-1,-1,360631,862987,-1,-1,-1,367918,523323,-1,-1,-1,766677,4286,276486,97965,-1,423949,70480,-1,-1,537054,201129,861998,21301,196064,-1,-1,586619,972553,-1,-1,-1,709842,482205,-1,304093,-1,974319,-1,920058,849642,548242,-1,-1,-1,-1,-1,-1,-1,615160,-1,-1,364398,-1,-1,823068,-1,482318,947616,-1,-1,-1,-1,-1,572641,-1,-1,695991,178615,-1,271968,-1,-1,176192,830337,-1,269233,390753,760008,424097,-1,-1,-1,-1,487267,-1,-1,644960,-1,-1,-1,-1,-1,-1,-1,-1,-1,844202,-1,916642,-1,-1,206087,-1,-1,746034,513000,540559,-1,874266,-1,528917,518762,855409,496536,63024,-1,733721,631051,-1,-1,948055,340264,714860,-1,-1,291131,-1,-1,-1,980046,126904,-1,268552,-1,-1,-1,-1,-1,-1,-1,692718,-1,462631,-1,-1,512888,-1,-1,-1,-1,-1,153759,392598,-1,969315,-1,796500,-1,-1,394909,859953,-1,340381,683018,832495,-1,-1,-1,277870,631238,921296,395179,-1,531169,434519,110452,-1,-1,-1,523412,586851,-1,835955,506464,-1,865902,138214,399394,-1,980960,-1,-1,678803,-1,-1,767345,287612,394534,834729,487913,-1,-1,-1,230456,568974,-1,-1,46811,-1,361915,-1,697595,860999,256918,-1,-1,-1,581478,305785,-1,827187,-1,-1,773369,-1,700148,262346,-1,921252,-1,-1,-1,227971,451689,-1,-1,798255,635671,70400,615545,-1,968036,299040,-1,-1,685279,-1,-1,635633,-1,170494,-1,-1,792019,425962,689710,-1,-1,-1,-1,-1,785165,10394,209437,693268,-1,-1,-1,-1,-1,591290,857143,421353,370745,-1,227501,452618,404119,992388,482324,-1,613212,531233,592764,483404,-1,-1,171027,-1,910167,612700,-1,391307,-1,843836,518735,-1,735787,-1,-1,756450,-1,-1,790550,-1,780587,-1,341410,-1,-1,-1,989017,-1,-1,134803,-1,-1,816043,-1,-1,-1,-1,327474,-1,-1,-1,648857,745907,612819,90793,-1,849529,106412,443224,-1,924876,-1,247672,-1,387222,937307,103334,459881,339310,-1,752145,-1,-1,-1,-1,-1,-1,-1,45091,-1,-1,273113,-1,502341,-1,-1,-1,-1,-1,-1,-1,775145,799421,803044,-1,-1,-1,-1,-1,943125,-1,112576,18288,510750,-1,-1,166306,435684,780900,684396,-1,59934,567103,-1,712274,901879,-1,662531,-1,110757,457590,338861,-1,76719,187031,644757,287304,266230,693750,-1,696632,263058,729364,-1,-1,802554,795842,-1,783804,17895,-1,-1,616758,824899,-1,-1,-1,22409,127969,-1,-1,-1,-1,-1,485826,734193,-1,-1,-1,-1,2034,-1,100082,948990,927678,-1,-1,-1,883702,-1,554880,306107,412973,-1,-1,-1,-1,987975,-1,68834,789532,28467,261446,794073,691212,-1,358986,-1,331148,118179,-1,-1,543741,-1,-1,776380,-1,850146,-1,727101,763402,102762,-1,-1,-1,275020,-1,472394,756516,-1,694485,-1,949344,505271,-1,-1,381578,975132,-1,142757,158214,93044,565065,-1,289215,814291,-1,623453,-1,533846,853828,450159,-1,546404,-1,922342,-1,308597,193530,368847,-1,-1,-1,11238,-1,-1,663372,-1,779109,177422,-1,952270,451324,467356,-1,903571,-1,-1,463963,77900,-1,237777,-1,403591,-1,59903,-1,322819,35322,-1,162549,594216,-1,-1,-1,-1,-1,-1,-1,-1,-1,437458,-1,647785,-1,-1,304421,278608,989910,-1,244589,-1,771763,-1,343127,-1,-1,152726,-1,745284,76013,292400,-1,-1,-1,-1,999768,-1,-1,-1,864609,103756,984140,99617,-1,982714,-1,682130,91775,54691,-1,-1,72297,656662,-1,-1,306117,-1,958691,311281,-1,-1,561153,-1,-1,-1,956608,-1,600631,735660,296699,-1,-1,-1,202678,219357,-1,-1,-1,897243,812825,-1,-1,-1,-1,-1,-1,-1,659730,721177,-1,-1,49069,17459,922666,897445,345698,-1,181399,-1,975457,460432,995902,-1,-1,13599,603765,261671,-1,-1,-1,483175,69021,830462,13592,918497,505077,799518,-1,-1,774546,-1,-1,-1,-1,887025,177235,-1,-1,815117,105126,-1,431785,-1,536598,339233,653176,-1,-1,540283,-1,-1,-1,-1,840530,241118,-1,46890,-1,57681,-1,-1,-1,110298,212736,573084,789995,401475,-1,-1,-1,522471,-1,622820,-1,667130,662818,154090,857496,-1,-1,685702,-1,-1,232779,907018,-1,-1,-1,-1,414612,118038,822229,-1,-1,462258,480849,-1,-1,49790,-1,-1,-1,-1,337060,-1,-1,879882,899030,422932,6012,442289,803388,-1,-1,-1,-1,-1,-1,889915,-1,-1,527906,-1,-1,-1,-1,-1,804272,903830,504145,751484,14075,669040,751641,126291,-1,-1,-1,387717,204668,936528,935511,-1,315688,790647,973078,948838,-1,-1,-1,637563,370642,-1,406109,452971,662228,572713,-1,-1,208884,107030,297076,-1,-1,-1,360192,-1,-1,920319,-1,-1,635276,917463,95431,509171,-1,-1,-1,450895,391885,-1,47730,132704,-1,343220,-1,-1,-1,581587,-1,-1,-1,39225,270638,16165,-1,-1,-1,752620,665181,446331,-1,538163,681051,-1,711881,716803,-1,-1,618378,565354,-1,-1,946030,971124,-1,-1,-1,-1,-1,-1,267347,372555,713882,-1,731238,427791,-1,481048,-1,-1,-1,619753,258396,-1,-1,-1,-1,-1,-1,-1,251549,717111,-1,-1,-1,440475,468711,328068,-1,291197,575947,-1,-1,-1,340092,61292,-1,693897,710504,117013,-1,-1,811501,574695,82117,126976,-1,-1,-1,327130,-1,848516,-1,-1,520952,-1,551775,521766,-1,-1,-1,119659,556503,389375,205342,734502,-1,-1,272135,541551,875359,158481,298773,998181,-1,350079,256013,984056,586832,-1,-1,-1,-1,725794,-1,3292,-1,934447,-1,-1,565211,126862,-1,946155,-1,457034,529296,-1,-1,-1,866872,-1,-1,-1,-1,592960,661421,-1,732703,399833,-1,-1,331814,-1,714463,604287,-1,318136,-1,-1,-1,-1,376020,-1,-1,873496,831725,-1,-1,-1,264689,114629,-1,-1,881096,114515,-1,-1,-1,-1,-1,157243,93591,-1,865985,12526,979021,353843,-1,175876,469432,348089,399745,657458,673143,413985,-1,60526,444842,645980,-1,-1,183224,974832,384207,425801,323335,740833,963850,947151,-1,743648,394881,461126,750542,-1,674549,-1,250464,-1,-1,-1,575887,619077,-1,-1,-1,-1,-1,605496,-1,258748,367298,-1,-1,696277,-1,-1,-1,150490,-1,640953,-1,417884,-1,581732,-1,411850,278443,94839,-1,634455,144910,-1,-1,-1,321191,-1,767357,271708,339051,872220,884716,747003,720429,-1,-1,-1,-1,-1,200647,-1,499131,-1,-1,492378,624763,-1,529960,-1,340488,369764,-1,-1,412832,-1,-1,414620,793899,-1,371370,284912,-1,-1,689747,510862,198615,831730,686272,-1,-1,-1,847491,-1,244654,-1,494254,492639,-1,878398,-1,285642,-1,-1,784390,-1,919321,407737,924783,627640,-1,-1,-1,884776,338628,898745,-1,197684,555371,36540,-1,899098,407078,714776,-1,950970,-1,-1,-1,-1,241650,381674,489494,195965,-1,102992,-1,-1,953651,-1,684948,-1,-1,887345,-1,53200,581407,470394,588811,320652,-1,-1,166496,-1,125186,445763,-1,-1,787576,482838,-1,-1,738381,-1,64378,-1,-1,603945,888397,63582,-1,-1,995279,358658,-1,-1,904267,575908,-1,-1,-1,-1,157680,277810,52408,-1,1681,749967,4535,444385,838144,-1,201795,-1,83110,15641,-1,984359,-1,711308,-1,948338,-1,323094,-1,911800,66719,-1,119043,528678,496745,98674,969276,104653,877438,971459,485149,-1,619271,-1,-1,878811,-1,636099,-1,-1,-1,-1,-1,-1,543510,234715,519233,-1,880534,-1,783103,586617,69197,-1,853196,169625,737028,-1,-1,-1,-1,845556,901568,-1,530041,-1,405439,-1,291585,-1,985197,264823,-1,-1,-1,-1,589143,-1,-1,999271,177599,670560,746093,-1,-1,812037,682746,196329,-1,-1,-1,-1,905836,-1,-1,787368,113348,-1,604115,316729,735271,787666,-1,849107,-1,530345,645108,-1,853163,-1,10825,-1,653541,401419,-1,-1,-1,-1,505404,401217,411099,-1,337771,-1,176035,-1,-1,-1,-1,-1,798563,-1,693226,742459,499311,537015,880760,-1,138270,428651,-1,-1,231015,-1,-1,-1,-1,756054,426274,49717,954929,709118,167238,691620,-1,134603,991490,-1,794124,-1,991032,499052,179725,341252,-1,848298,59811,-1,799023,918303,-1,856461,-1,-1,-1,906568,-1,992719,314774,-1,-1,607939,548666,-1,-1,775365,-1,472263,-1,-1,-1,744671,637305,-1,-1,-1,-1,169011,-1,336197,446273,-1,-1,928914,471430,-1,-1,873424,624559,-1,-1,-1,253774,326801,-1,-1,-1,147348,-1,877146,370729,183066,-1,84324,371322,-1,608328,-1,649692,561515,43070,-1,10738,366866,146039,459466,927802,208104,-1,-1,-1,-1,-1,132265,583422,74190,547102,-1,649207,-1,410821,-1,-1,-1,622195,-1,116654,803439,-1,-1,419859,503060,-1,629061,566336,-1,-1,-1,-1,-1,-1,-1,561611,728200,-1,-1,127283,599508,30788,115952,-1,867943,301081,-1,904737,-1,-1,-1,-1,-1,794179,212456,442848,-1,620806,-1,-1,-1,-1,-1,-1,561569,-1,-1,-1,-1,587650,895313,-1,658100,941629,243862,808606,-1,412570,840024,32546,535424,-1,-1,700634,-1,-1,746436,-1,494613,-1,390015,930257,529164,82756,515109,-1,-1,-1,882350,-1,323258,-1,-1,-1,805928,842323,-1,232922,-1,642455,-1,900552,-1,685766,-1,-1,-1,863798,417947,949878,-1,-1,520575,375739,635089,453763,-1,909572,-1,-1,-1,33947,-1,906336,556286,628303,-1,632766,-1,417208,357296,166746,-1,688150,-1,-1,463474,288094,-1,133816,-1,-1,920891,795640,777660,136359,-1,-1,971705,-1,242623,-1,-1,840445,782718,971332,-1,-1,178910,-1,409874,592654,136950,588521,-1,966735,-1,353648,553343,231735,844167,-1,-1,446189,-1,-1,656691,904885,-1,518408,-1,290845,-1,-1,985905,-1,242014,178805,-1,161118,294799,926500,115563,717033,952162,657740,-1,950203,-1,-1,65403,-1,757102,-1,451963,107828,-1,329190,-1,142497,206705,621713,-1,-1,-1,-1,-1,-1,211886,183875,902104,143491,293617,-1,-1,384599,-1,-1,-1,827100,-1,432018,548140,600395,-1,729682,139085,159480,-1,803461,670273,-1,-1,304956,560298,-1,-1,963559,891780,45293,-1,-1,142136,-1,698807,606558,357018,-1,-1,172982,-1,-1,700175,280965,-1,237181,851813,-1,596272,-1,-1,434217,-1,882774,-1,-1,57129,-1,-1,788615,96294,-1,-1,735491,875427,495417,601560,-1,-1,472147,311759,239433,85311,103632,355934,-1,-1,-1,-1,-1,104251,383115,955099,-1,-1,-1,529410,-1,107489,-1,-1,-1,-1,923840,-1,328258,-1,-1,93357,-1,244881,463331,512806,-1,475226,-1,998449,-1,377453,267780,891413,-1,-1,132402,-1,51611,-1,755315,-1,-1,397384,-1,110695,647652,408163,225979,-1,730759,-1,525826,-1,-1,256268,-1,568772,-1,-1,-1,-1,261642,467988,170232,807854,-1,-1,52233,477128,-1,248240,916021,-1,-1,-1,858774,275987,627452,671396,-1,-1,13633,-1,171097,-1,134666,82718,-1,84241,-1,664794,-1,-1,-1,130410,917680,887876,791214,410406,-1,-1,-1,360825,-1,-1,389885,-1,-1,123124,-1,-1,-1,804941,389491,-1,247947,-1,-1,879017,-1,-1,-1,433601,64510,-1,80583,-1,993305,-1,-1,594789,42483,244938,-1,-1,-1,-1,733068,993424,639580,848476,-1,-1,259798,-1,808102,405573,-1,-1,-1,-1,638945,823996,699658,395455,-1,-1,673424,559520,-1,-1,-1,288546,-1,-1,168670,458675,-1,449286,555680,-1,-1,-1,595014,432024,894682,357895,876317,-1,48163,-1,-1,943742,-1,-1,-1,874344,-1,-1,477793,820505,398613,70217,437973,876706,267318,-1,-1,288554,-1,362094,898418,-1,829518,257679,146741,496057,601045,974152,861057,-1,-1,-1,-1,-1,779723,-1,584687,413459,-1,705192,-1,-1,263626,-1,110288,-1,-1,-1,-1,-1,37890,30477,581762,-1,-1,-1,-1,81184,844390,-1,-1,267921,-1,974425,214467,796260,544898,-1,-1,-1,985445,979157,128827,-1,-1,215525,-1,718071,-1,788489,-1,-1,-1,492151,-1,-1,-1,575958,-1,71958,-1,-1,-1,32141,-1,-1,-1,-1,641071,278994,510759,561965,-1,-1,247995,964109,956220,-1,-1,-1,857048,759257,-1,797177,454908,-1,-1,165339,-1,616437,-1,524259,-1,514087,147515,-1,-1,-1,-1,423139,930873,-1,857850,-1,-1,-1,-1,355117,480005,-1,572152,-1,926436,999144,-1,-1,-1,792613,422112,913254,-1,-1,-1,228188,-1,-1,-1,-1,-1,442158,571122,373089,80285,333921,-1,628797,-1,-1,923077,-1,-1,113422,-1,-1,96490,-1,-1,217254,-1,266987,181332,649701,558532,848337,627149,-1,632924,135663,-1,-1,505049,295572,233773,840612,-1,13974,450835,103193,94161,970712,-1,-1,918217,-1,-1,773026,-1,-1,-1,205290,711137,-1,822374,-1,-1,-1,39071,-1,964969,611366,-1,941107,677594,1221,-1,-1,-1,-1,400678,211712,779974,-1,246105,-1,-1,-1,-1,54673,307445,-1,224079,-1,17884,-1,-1,218700,30134,828067,166729,-1,-1,-1,595166,696149,205199,-1,955132,-1,480872,954444,-1,-1,-1,27512,-1,-1,-1,920154,-1,-1,247098,-1,579441,-1,974566,-1,-1,-1,-1,-1,312627,-1,-1,281101,615967,259776,-1,-1,-1,-1,-1,-1,-1,70948,-1,-1,90922,-1,-1,528033,-1,-1,469978,-1,26869,899484,820618,116688,-1,523186,-1,-1,-1,-1,-1,45328,-1,967349,-1,433856,232923,-1,618669,338121,-1,744069,-1,393433,-1,835028,307349,-1,602584,-1,866187,406139,498092,282644,553087,791252,937036,-1,69147,452135,-1,-1,-1,744610,-1,-1,-1,151527,-1,892193,-1,63310,-1,526195,737641,649873,527291,-1,157277,-1,-1,-1,749034,-1,562993,-1,-1,411007,573734,869417,75367,660927,158727,470302,-1,-1,893829,-1,657489,780124,885734,-1,599280,-1,603769,513165,424882,228878,-1,-1,478156,-1,171720,682110,-1,29291,841992,-1,464445,869988,488559,465299,466385,-1,-1,-1,510969,649827,536923,-1,891979,502894,-1,-1,-1,-1,254113,-1,901412,248253,-1,-1,-1,118792,546387,200458,-1,197609,103595,727934,730619,-1,312193,-1,937562,944429,-1,233177,-1,353778,936153,-1,-1,700998,-1,476115,-1,-1,327140,-1,37320,279318,-1,58248,606089,33564,464244,393183,592688,-1,379225,-1,-1,545120,391247,291341,-1,138628,-1,-1,354822,202325,353613,691404,-1,363428,-1,-1,-1,-1,-1,-1,118910,996164,247278,679680,-1,-1,988647,950717,-1,898594,-1,-1,-1,313598,-1,470723,205871,-1,370955,682283,-1,816186,-1,141673,-1,293941,-1,-1,-1,538822,-1,679234,-1,-1,611260,-1,-1,670551,884263,-1,-1,223862,997733,305166,-1,-1,998976,-1,-1,-1,324703,775497,-1,729167,636818,-1,508678,-1,42371,-1,547477,-1,-1,780930,686329,922292,400640,-1,707119,515031,422745,-1,-1,-1,5837,874167,-1,-1,461431,-1,-1,226836,450171,-1,282435,-1,-1,702134,-1,-1,312659,307024,-1,125542,332454,-1,378681,-1,304309,-1,252285,-1,764288,709525,325170,551621,178230,-1,-1,-1,58168,-1,472665,252672,-1,407933,-1,-1,-1,405938,899355,367888,946065,-1,-1,259236,-1,-1,-1,-1,7549,520694,333561,-1,644114,-1,295702,-1,88887,202062,-1,-1,285821,132433,347649,146249,705441,-1,222950,-1,527102,154826,398301,416275,687191,188977,-1,218179,634958,838534,884227,361094,121023,-1,726133,991644,584612,-1,766639,-1,-1,-1,367281,399675,172889,-1,-1,502736,-1,587357,-1,421784,826009,899083,83393,-1,-1,909843,-1,-1,648889,-1,813095,490527,375546,111367,389430,411999,-1,-1,331411,561915,-1,113282,-1,296710,32631,867995,-1,679803,-1,569519,904136,352549,-1,-1,616768,-1,101002,-1,-1,-1,34079,886894,-1,-1,-1,-1,301431,614806,-1,689583,-1,-1,-1,687754,973065,-1,357216,545093,784743,-1,-1,542539,-1,-1,673308,641323,172715,-1,-1,-1,700251,-1,-1,-1,293657,-1,290586,-1,632559,-1,-1,-1,-1,-1,-1,39804,-1,986313,-1,-1,-1,706806,372571,862513,-1,-1,90891,-1,414242,503606,-1,454081,-1,103283,-1,558984,-1,679977,-1,424565,-1,536078,-1,846857,822294,-1,-1,-1,359299,22546,913656,893541,327458,200577,741904,-1,-1,890218,-1,-1,810441,775363,-1,550149,229143,31630,273698,-1,927628,-1,-1,444871,-1,-1,58022,170567,-1,61720,228099,682815,-1,678955,-1,-1,-1,428148,-1,688120,755883,411750,-1,711658,228842,-1,-1,754756,634673,-1,527429,-1,933441,121988,833462,467610,-1,785214,155702,-1,353908,314168,797632,188213,-1,696055,481358,3764,-1,-1,294514,341072,-1,652130,466062,-1,22303,158843,46043,522495,372153,-1,852472,-1,468021,483100,-1,287086,709598,-1,-1,8461,-1,-1,-1,418728,857728,819873,779523,441972,-1,746394,35915,-1,67551,-1,453244,643412,375948,444830,890903,373560,-1,-1,-1,627913,-1,-1,337548,-1,629784,-1,750804,683642,107606,406525,896946,-1,-1,-1,-1,777169,614908,460062,58651,958970,-1,810625,562535,276268,156209,-1,-1,242946,377598,693693,-1,186987,530256,-1,-1,-1,-1,626326,-1,204303,838536,-1,952495,-1,-1,470784,-1,-1,-1,-1,855500,-1,942187,-1,800154,925484,535804,268525,741338,768362,-1,-1,-1,-1,650803,31278,912356,-1,670226,-1,-1,-1,-1,447001,310843,-1,-1,450517,-1,-1,-1,798716,335577,-1,-1,247496,-1,-1,-1,-1,-1,994544,692582,-1,-1,90379,539376,-1,99586,-1,-1,980426,209629,-1,-1,-1,-1,359936,-1,-1,5489,975724,-1,-1,-1,149343,168972,169958,-1,29043,-1,-1,-1,-1,-1,-1,-1,-1,230177,-1,67387,-1,575207,330912,-1,-1,-1,138502,-1,446972,353298,775932,412191,-1,-1,-1,-1,-1,515338,-1,-1,505372,257356,-1,-1,468795,248317,-1,-1,946232,-1,986950,-1,773063,629642,-1,867956,242594,-1,289965,794055,864945,-1,-1,736666,-1,868931,565766,501296,-1,229573,735694,-1,-1,-1,-1,-1,263816,-1,594566,352985,407462,488931,760953,-1,-1,-1,-1,-1,-1,-1,158283,66160,-1,-1,-1,924288,484985,505898,-1,916292,767478,659966,-1,-1,-1,441147,-1,363311,-1,594368,-1,539178,-1,-1,-1,815109,38430,-1,-1,-1,316915,-1,378386,990806,-1,499406,-1,184839,-1,-1,-1,-1,76342,-1,-1,-1,824584,-1,767670,-1,303798,925485,801521,79143,448584,133774,-1,479316,-1,-1,218764,-1,-1,11826,220944,115182,-1,-1,-1,277618,-1,-1,873526,-1,307464,952946,-1,330791,-1,-1,526460,-1,101337,-1,-1,-1,568757,-1,-1,66488,498118,703476,-1,-1,228885,504194,403621,963544,-1,571960,-1,-1,-1,-1,-1,-1,-1,867712,-1,16631,-1,-1,-1,-1,-1,833001,241593,868960,14457,-1,-1,-1,444257,566830,-1,196905,-1,468537,911233,-1,50959,-1,-1,-1,-1,-1,821464,328397,505870,684716,496336,-1,335067,-1,615016,-1,769553,403296,-1,-1,871913,-1,852652,328506,928139,-1,-1,89248,342046,648160,-1,-1,35813,-1,-1,-1,-1,217836,-1,784900,-1,561782,877906,791529,650121,-1,-1,487907,888645,-1,-1,-1,375988,850193,-1,149154,-1,498332,-1,-1,509471,640971,-1,262019,582032,385605,144235,-1,-1,785191,-1,-1,-1,-1,135551,-1,553530,338221,639468,641185,750115,370723,279743,-1,595768,271940,381992,276233,-1,518007,-1,-1,-1,-1,-1,-1,724458,952972,664301,-1,63699,150411,-1,250048,994609,-1,879207,736914,280474,558631,-1,-1,477925,920331,784112,-1,-1,807977,-1,346462,-1,383566,-1,385607,532997,109098,712369,-1,573450,80011,-1,-1,411594,889858,-1,-1,-1,61325,929640,-1,-1,188642,136985,-1,-1,-1,309578,907075,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,35816,-1,-1,-1,217459,-1,593641,-1,662092,816072,246730,-1,260923,-1,482727,-1,-1,-1,708696,-1,-1,883984,415218,112367,995449,-1,572201,110325,-1,-1,761380,-1,628238,-1,-1,378917,714301,674435,-1,381553,-1,538396,-1,-1,449072,-1,-1,-1,-1,758818,754651,-1,336475,672770,800118,110856,-1,389418,874236,-1,478478,111330,-1,146087,-1,237912,206927,-1,604206,-1,-1,689734,-1,135972,-1,433126,957249,753538,-1,293314,716990,650155,-1,-1,-1,-1,112182,-1,-1,559565,-1,991790,792753,-1,862248,298752,-1,-1,-1,105934,110043,-1,-1,-1,-1,908729,-1,748539,662676,541670,783600,-1,341788,-1,-1,22004,785428,814040,-1,815941,381096,317831,-1,-1,-1,-1,52982,-1,-1,-1,269704,580092,674806,676695,-1,-1,337365,211137,371341,-1,355578,-1,-1,-1,-1,385938,515275,-1,-1,-1,-1,940058,-1,-1,-1,-1,-1,288777,335696,-1,-1,989872,-1,-1,-1,411154,467235,738100,947846,946327,-1,-1,-1,-1,22465,-1,-1,441200,868776,-1,270173,-1,-1,95907,165442,49874,843857,78653,304180,-1,-1,182983,82179,761200,749618,-1,-1,-1,-1,-1,-1,869917,273107,-1,3066,200934,990349,478510,-1,624888,3352,-1,31489,-1,949141,593420,-1,189245,-1,-1,-1,-1,-1,-1,899239,-1,502209,458790,-1,-1,114213,-1,-1,225268,377596,33217,-1,532464,-1,-1,50727,649060,279858,760868,-1,-1,-1,343571,-1,-1,315310,647667,-1,-1,823800,337136,-1,-1,501647,-1,-1,-1,271208,-1,927261,948277,370566,-1,679729,347296,551849,-1,-1,674906,13388,-1,-1,-1,623827,591312,-1,-1,-1,625864,163693,346500,750139,-1,-1,-1,711019,-1,90278,-1,-1,550118,-1,-1,-1,4108,-1,-1,-1,312006,991390,517437,852296,-1,-1,-1,152641,131822,-1,-1,-1,-1,-1,568750,837230,-1,323004,494450,800418,-1,-1,-1,437752,-1,159640,378280,-1,-1,-1,160054,-1,-1,-1,-1,-1,-1,44267,-1,-1,-1,-1,-1,-1,448314,-1,565200,644525,186711,-1,778684,443228,84304,-1,-1,664463,748854,-1,158359,-1,-1,-1,-1,-1,366337,-1,728657,-1,-1,988453,569180,-1,669429,-1,-1,118211,-1,-1,924008,765584,603648,-1,-1,-1,-1,916865,-1,146509,979091,-1,951729,-1,-1,298796,-1,616507,58298,-1,529837,684904,313759,156938,-1,-1,742606,983654,-1,-1,-1,886218,-1,-1,853903,677404,-1,511803,-1,-1,-1,508785,67805,-1,-1,-1,592477,-1,326139,846879,186769,537883,-1,422647,-1,900104,-1,261823,-1,-1,284463,-1,-1,-1,-1,-1,346183,819290,-1,114265,-1,913503,-1,-1,46015,-1,-1,-1,-1,-1,-1,446637,918108,-1,-1,233380,734978,-1,-1,252936,-1,379942,-1,303890,720792,-1,628650,-1,-1,469952,368405,-1,612738,577139,233142,-1,-1,969502,588352,-1,-1,-1,-1,-1,574957,930222,-1,-1,-1,-1,-1,791969,-1,866939,922781,118456,-1,589714,-1,-1,-1,253830,-1,186326,-1,773827,-1,-1,844289,-1,128521,-1,658793,-1,-1,957032,298109,-1,-1,-1,-1,-1,-1,468189,-1,-1,466782,-1,-1,209604,427086,-1,-1,-1,903905,323349,-1,485272,882721,68977,23988,685314,-1,-1,-1,-1,23780,-1,-1,495041,-1,207269,915366,521712,-1,-1,-1,-1,-1,-1,601726,-1,587294,-1,-1,-1,-1,-1,-1,-1,381260,-1,6330,98338,-1,-1,-1,894849,762930,-1,-1,479737,-1,134646,-1,-1,403244,196940,-1,-1,405037,761982,872590,762105,480071,412959,697184,643306,-1,453738,929468,-1,567793,466733,-1,231116,-1,-1,-1,-1,-1,990193,781285,-1,159961,-1,-1,454909,429690,-1,445076,-1,285578,135606,-1,-1,-1,-1,-1,-1,109829,-1,69422,-1,167386,-1,-1,-1,-1,-1,350875,-1,71719,-1,-1,-1,735392,183796,358965,-1,-1,316682,-1,566279,223962,509571,132454,424896,260478,-1,-1,-1,317669,-1,727281,867901,298576,-1,-1,976988,312216,-1,398706,32908,-1,954167,777461,894441,-1,740243,-1,867419,-1,301382,735213,-1,-1,884542,972537,17226,-1,250951,-1,603178,921278,-1,-1,846956,967701,-1,511706,-1,-1,873042,-1,-1,-1,768006,342308,-1,-1,-1,952488,-1,393682,932989,904868,42994,-1,279879,745240,106712,-1,-1,-1,556749,690659,-1,756033,-1,961363,-1,563506,-1,853067,-1,-1,-1,-1,-1,397730,129580,-1,-1,552903,946859,194607,284080,-1,-1,-1,558109,527904,-1,827046,333062,621876,213782,847759,-1,-1,-1,-1,-1,-1,-1,307329,-1,703333,217345,928400,992709,-1,906076,278513,45501,854959,-1,-1,829962,-1,-1,-1,-1,933308,-1,-1,488542,-1,-1,684500,-1,196812,-1,-1,-1,370241,-1,-1,-1,-1,105261,449343,-1,-1,-1,753563,745873,187141,841657,-1,913646,645875,23643,-1,-1,-1,-1,-1,290895,796560,537980,916425,432419,-1,859749,416919,-1,-1,466690,897198,904461,690597,243095,866520,960391,363946,338629,-1,303248,30425,445975,-1,-1,-1,294296,-1,823525,312357,-1,-1,74590,980721,-1,-1,400398,828926,781202,844544,-1,-1,757744,648140,654744,-1,835924,264887,-1,-1,-1,-1,146974,-1,-1,555949,-1,958050,-1,854980,947309,-1,-1,681422,377650,603852,761828,626249,-1,818643,-1,767199,382177,-1,159450,664405,-1,-1,-1,196371,146862,-1,377268,943854,932184,1048,525310,-1,-1,355420,165943,-1,958562,700157,469608,89650,162744,111249,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,847706,922373,314628,-1,489795,-1,82687,-1,686522,866550,960120,-1,-1,210931,-1,-1,255836,940431,-1,-1,-1,224392,-1,790675,517510,404043,536605,-1,-1,747715,-1,893976,948272,4992,270951,-1,-1,-1,192735,588628,-1,492456,-1,45468,40992,-1,-1,284542,-1,-1,341299,-1,62657,-1,-1,420790,459,44971,-1,954553,-1,-1,-1,-1,208733,860625,-1,-1,478801,551734,-1,-1,-1,-1,-1,-1,128990,712118,-1,384546,472809,-1,429231,679592,-1,776578,-1,-1,-1,-1,804484,651247,-1,-1,-1,-1,-1,233018,851371,-1,-1,875467,-1,-1,292634,694315,-1,-1,-1,-1,653323,59311,55160,755500,-1,594042,125808,-1,-1,361678,-1,491484,540166,607853,19261,-1,-1,-1,-1,-1,671733,791142,706996,160929,506652,-1,194453,-1,-1,382631,134900,614244,855583,971740,-1,79639,373157,-1,-1,217069,-1,-1,313279,-1,14338,-1,161750,-1,920249,-1,-1,-1,-1,-1,-1,-1,200542,232743,820356,931498,463007,-1,-1,937955,-1,-1,528659,-1,159950,-1,-1,-1,275589,605096,-1,969806,868015,-1,214286,-1,-1,592746,-1,291674,137821,-1,-1,-1,142080,997004,353711,352425,-1,-1,-1,881899,-1,-1,-1,-1,986978,-1,772569,-1,-1,706344,-1,-1,417672,-1,808068,-1,-1,-1,803707,-1,-1,321621,-1,-1,760629,784347,-1,170521,-1,-1,-1,841045,717264,538372,206600,214022,823847,208496,471508,106994,831182,-1,367857,-1,-1,-1,830742,987802,-1,517661,125222,665152,981488,583161,-1,-1,-1,-1,884729,671674,-1,89946,-1,-1,-1,-1,-1,-1,403394,25196,-1,-1,828457,24847,938176,-1,-1,203885,-1,559558,-1,-1,-1,529979,-1,108075,547797,-1,-1,-1,-1,-1,-1,20458,-1,262680,311379,-1,918229,-1,356189,833688,-1,254629,-1,-1,-1,-1,-1,-1,633380,333346,-1,204281,685266,-1,-1,445677,-1,266492,-1,-1,403046,-1,647995,302816,-1,-1,-1,-1,467729,-1,-1,-1,-1,757599,-1,281323,-1,-1,554864,-1,459750,-1,801243,-1,716007,558869,288864,-1,852195,647997,32824,-1,706635,983395,76973,-1,266771,-1,790933,491703,-1,845223,777080,321083,789273,-1,36336,587834,154229,231436,-1,-1,-1,-1,533949,-1,-1,-1,456534,387795,-1,-1,-1,635361,-1,-1,-1,856067,199423,-1,974024,469701,596314,132193,62232,888293,334810,-1,918474,-1,-1,-1,-1,-1,7481,184018,-1,299296,-1,-1,981684,-1,458695,345376,366519,-1,509499,313453,489437,-1,706214,-1,-1,-1,821774,320773,606779,-1,-1,-1,-1,-1,-1,498013,-1,-1,-1,-1,-1,-1,83683,908826,-1,-1,-1,469793,-1,475049,327377,531760,545909,966699,-1,-1,597102,-1,-1,179299,-1,-1,386081,908909,-1,-1,276174,-1,-1,816204,277474,665518,968384,1441,-1,-1,-1,120077,288477,-1,330408,382302,-1,-1,-1,-1,709161,948370,523207,228186,847818,-1,-1,294147,-1,-1,814688,576865,78554,776741,661995,-1,258464,21364,-1,-1,779727,-1,-1,248001,-1,171874,651870,-1,133117,-1,359392,-1,-1,-1,-1,221563,-1,885850,142603,-1,-1,739957,-1,-1,644853,66875,615529,-1,734057,146612,-1,144055,167510,546053,-1,850350,-1,-1,76629,104455,-1,-1,-1,497986,542407,383596,-1,-1,630666,-1,653991,701335,-1,-1,595304,678918,955271,-1,-1,676249,94500,53864,-1,976092,-1,850535,542620,-1,631671,-1,606507,-1,362035,474957,-1,80496,-1,-1,227063,-1,151402,-1,612039,388019,735927,-1,363273,-1,-1,-1,41803,-1,-1,647476,-1,-1,-1,453362,-1,843724,-1,-1,115431,-1,-1,-1,-1,148083,726435,-1,685109,507588,27924,-1,-1,943315,-1,866400,-1,361832,113441,-1,193942,992820,436483,877912,237634,979022,204145,349507,847537,720309,-1,-1,-1,406589,556556,-1,-1,574482,-1,-1,-1,-1,-1,-1,703245,-1,534323,32111,840948,-1,-1,869057,32917,833498,477354,-1,-1,-1,-1,-1,-1,-1,373427,295234,837106,-1,-1,-1,512731,945395,-1,-1,-1,-1,-1,-1,-1,-1,475355,-1,281790,-1,-1,-1,81941,-1,430571,-1,-1,88990,-1,4227,372557,-1,-1,116395,-1,-1,346108,-1,31852,-1,795825,725466,-1,-1,-1,433414,499137,-1,-1,-1,-1,-1,299620,-1,197447,307752,-1,958627,976648,-1,-1,909025,902875,-1,999410,307154,-1,44418,942034,-1,-1,638864,552102,-1,601022,-1,-1,725772,-1,-1,-1,-1,830878,-1,313570,-1,-1,-1,333249,-1,-1,203416,-1,-1,924737,-1,717843,-1,488020,336316,213672,-1,697448,763530,300163,865982,-1,-1,177467,-1,910545,-1,999383,123348,-1,713856,-1,570578,-1,755968,580030,826662,659850,322482,262126,85807,257080,-1,21484,-1,431488,969893,305863,144342,-1,-1,766763,-1,724164,-1,95435,906371,-1,-1,490603,688038,-1,-1,-1,-1,-1,-1,468567,-1,-1,-1,-1,-1,-1,481842,860067,-1,828640,-1,-1,-1,-1,126735,837751,-1,720881,-1,-1,-1,-1,59720,577470,262198,-1,-1,942965,217281,-1,663734,-1,-1,776140,-1,-1,870769,-1,-1,473127,216627,960628,-1,-1,-1,609335,-1,630127,460013,487858,-1,409242,-1,-1,734056,-1,-1,-1,-1,-1,-1,97439,901746,215759,628163,-1,936978,346438,-1,3404,765332,116559,-1,521795,481866,872440,687901,427066,-1,-1,-1,-1,736905,-1,-1,-1,-1,231063,28743,-1,-1,417616,-1,-1,764393,-1,-1,566065,-1,961837,300226,523819,732087,-1,-1,-1,-1,350430,122112,89928,215032,-1,-1,-1,-1,-1,-1,767084,782804,-1,989441,764752,-1,129603,267033,606642,290408,362597,-1,-1,756905,-1,580923,704000,-1,-1,-1,-1,-1,936090,-1,907987,90250,781387,541655,399248,165880,850796,463702,900308,213140,268983,413446,-1,737448,-1,-1,143008,-1,-1,-1,805222,642273,-1,-1,-1,-1,-1,-1,532495,-1,-1,-1,-1,-1,497159,-1,146350,221786,-1,-1,-1,-1,-1,482266,-1,-1,298502,-1,994912,-1,951538,-1,859338,34399,-1,-1,-1,-1,-1,-1,877627,-1,-1,-1,-1,411518,-1,580416,328300,138567,-1,49212,499565,103906,-1,-1,705701,564484,918057,593438,90508,108604,782160,-1,211704,-1,-1,-1,-1,-1,996717,249088,673853,578160,181662,-1,369551,843366,-1,-1,-1,-1,152381,-1,-1,300089,-1,480296,380731,544635,648679,-1,-1,-1,-1,463274,565317,283302,-1,298242,-1,-1,932960,-1,642858,-1,-1,-1,449958,731641,75984,-1,-1,97653,-1,-1,96312,-1,-1,-1,667890,348018,749466,-1,169712,-1,-1,-1,-1,978947,383976,-1,204005,-1,-1,124511,-1,374704,887653,-1,548334,803001,-1,399260,814582,528271,759993,217645,-1,419097,-1,-1,374881,26032,-1,342769,-1,3611,390337,-1,866122,-1,953692,-1,-1,-1,191332,-1,182215,366543,680446,-1,232752,-1,-1,303997,843963,-1,968813,-1,-1,962119,594032,-1,733245,-1,-1,83806,836842,15650,772521,907112,447302,267696,807754,-1,-1,42142,-1,423345,-1,64273,-1,-1,273332,-1,-1,-1,-1,-1,-1,899032,-1,39385,942533,-1,-1,982878,486359,-1,485216,383577,-1,-1,333286,-1,15981,677098,145637,842857,478825,255756,326169,683161,183733,120020,468172,491380,-1,195931,-1,-1,361424,-1,740469,354655,893028,-1,882875,179065,56069,-1,-1,370834,-1,-1,-1,-1,-1,-1,-1,515797,924607,-1,-1,-1,54755,302713,-1,633143,-1,-1,-1,-1,-1,-1,-1,-1,549216,-1,-1,858336,-1,-1,-1,-1,551566,-1,-1,-1,869968,600328,864251,-1,-1,3195,839481,-1,952639,588563,-1,-1,629084,39635,-1,909634,-1,363819,-1,186959,187471,254153,-1,259071,-1,323667,-1,804463,274377,-1,-1,559799,-1,-1,-1,325720,-1,948354,-1,-1,-1,451528,435754,-1,432630,530728,298910,-1,-1,-1,-1,165139,-1,-1,677954,489249,-1,248298,-1,676521,379065,-1,-1,-1,-1,-1,-1,525515,-1,-1,646032,166289,34407,-1,957438,-1,-1,644244,432363,882458,21940,-1,-1,372344,54541,552247,-1,463449,6610,458625,-1,-1,-1,-1,-1,601597,-1,975587,-1,460001,-1,-1,602494,-1,-1,896770,-1,-1,-1,-1,478651,104069,-1,-1,-1,729262,-1,-1,81640,238335,-1,-1,-1,410014,305112,-1,852769,-1,-1,62422,-1,509380,-1,814009,-1,649798,60391,-1,-1,17888,715654,491285,-1,146513,-1,-1,232961,29315,152984,494084,328301,843574,-1,-1,403649,-1,10067,919301,-1,755971,976604,622532,748129,-1,473820,-1,457192,-1,-1,-1,743856,594277,127687,-1,331860,-1,918212,241450,-1,805089,591141,430492,-1,-1,-1,501131,63908,614749,659120,359761,-1,-1,-1,-1,176590,-1,109802,-1,39872,-1,-1,-1,-1,124359,-1,-1,920400,-1,-1,306228,-1,-1,-1,521697,593969,-1,-1,-1,-1,234575,728218,-1,-1,143656,625744,-1,-1,814802,238990,754140,172676,420509,-1,384954,-1,330915,285928,902921,633671,319309,687863,322525,-1,-1,139335,29355,-1,-1,225178,336549,967077,-1,994595,-1,136203,-1,-1,-1,-1,219023,-1,-1,-1,-1,-1,-1,-1,-1,-1,345065,-1,-1,-1,-1,-1,283816,-1,572688,-1,-1,451373,-1,16760,234277,-1,-1,40231,-1,697149,435410,-1,-1,-1,-1,667766,-1,81264,-1,-1,-1,69683,583055,600980,-1,303092,-1,-1,532435,-1,-1,450787,-1,-1,-1,-1,-1,533640,-1,393375,-1,-1,-1,-1,-1,-1,635326,898430,-1,846617,745611,-1,-1,162543,-1,891137,-1,783396,-1,-1,49186,867,888603,742534,422585,821437,-1,-1,-1,-1,-1,783886,-1,-1,120986,-1,-1,222446,764205,977734,915223,-1,-1,461602,836183,-1,413741,-1,-1,775570,254587,-1,239957,-1,997769,-1,-1,271553,495260,-1,-1,678490,-1,-1,-1,99523,428276,142259,-1,-1,669519,753413,392369,627466,496372,-1,17938,-1,756166,344783,619294,233639,-1,-1,-1,675455,449930,747163,474518,747183,-1,-1,-1,473799,-1,81179,-1,53246,-1,-1,704830,-1,-1,429567,-1,-1,-1,511241,-1,151045,-1,-1,54372,804632,-1,336370,-1,286652,-1,-1,-1,-1,125949,-1,-1,-1,-1,-1,-1,859613,-1,-1,-1,-1,-1,999302,-1,738618,922089,829522,-1,-1,906938,-1,-1,828276,25126,610162,815825,-1,871046,-1,-1,97123,415644,-1,628009,-1,113166,-1,-1,57919,-1,86592,-1,647525,299590,168834,325616,862409,704229,830996,-1,-1,926952,169247,-1,-1,959812,-1,721824,-1,715275,988605,-1,-1,360935,-1,707907,-1,-1,473174,73431,-1,279390,-1,79902,661890,715842,-1,-1,78495,-1,-1,-1,-1,407311,172794,-1,152527,-1,682978,-1,272992,615887,-1,-1,606439,691788,759667,522521,57595,-1,35592,-1,807458,219231,128879,860390,-1,283357,-1,-1,-1,477635,-1,-1,-1,514831,-1,-1,-1,-1,386950,-1,585253,-1,-1,-1,-1,883737,5754,-1,-1,15167,447720,-1,140503,-1,-1,-1,773580,299685,-1,446219,767089,-1,-1,-1,916780,-1,94341,50595,-1,-1,-1,494117,815040,-1,328035,-1,-1,-1,-1,700964,208650,248277,858065,-1,742862,735698,245933,198640,201649,828796,917641,-1,-1,-1,52640,156850,455413,695508,745881,-1,143156,-1,873769,948944,-1,-1,780792,42113,734657,789307,181085,178255,67117,204938,-1,801145,-1,250091,439469,944905,550888,-1,-1,-1,275994,-1,-1,705960,365944,-1,93487,659226,855529,915951,-1,-1,-1,-1,-1,610692,586051,369973,-1,432854,-1,-1,-1,706998,-1,778418,199755,322760,-1,47501,412661,-1,-1,-1,-1,-1,-1,679217,613849,-1,-1,-1,736499,-1,-1,22664,-1,-1,793453,214031,-1,-1,-1,-1,-1,-1,-1,733773,-1,-1,-1,-1,447685,307039,-1,-1,-1,818159,733612,70389,171343,609265,-1,910792,-1,402651,-1,947082,329759,889067,-1,-1,-1,-1,923176,-1,604827,-1,-1,-1,-1,-1,-1,836999,-1,-1,582962,-1,-1,375888,-1,-1,310590,468069,604553,182540,417016,-1,27600,320017,49654,315567,473151,927104,-1,223549,67980,160214,960768,838485,-1,-1,128374,-1,-1,-1,-1,-1,-1,-1,640567,321656,-1,-1,578406,604,-1,37456,-1,-1,-1,29310,-1,-1,220644,115816,460118,-1,-1,91762,-1,-1,-1,-1,-1,-1,-1,88762,42229,792580,-1,-1,-1,558910,-1,106838,-1,41775,-1,-1,-1,738717,-1,240909,986363,-1,-1,-1,-1,84090,-1,-1,859918,571290,551364,-1,165907,589201,181086,-1,82247,-1,2217,-1,-1,446741,735369,-1,-1,689832,571480,-1,-1,152880,-1,436934,-1,528166,-1,356605,765081,917911,5725,478122,-1,391145,-1,-1,452258,823875,611312,854160,-1,405252,720607,-1,-1,430109,-1,75465,-1,109536,-1,-1,728084,-1,914923,940965,557997,304826,274833,961448,796615,620080,-1,423619,249483,700741,-1,-1,611629,247909,27220,-1,246560,-1,335973,299951,374965,600036,-1,-1,817146,206869,-1,175691,-1,-1,431623,-1,-1,572628,-1,-1,62481,-1,313591,157210,112372,115494,-1,-1,-1,-1,85639,162164,326716,131348,-1,-1,469173,-1,102628,643684,430563,471351,-1,408764,-1,-1,-1,814221,-1,-1,523869,86554,397006,-1,-1,164968,-1,-1,-1,777051,769539,459538,944253,359260,305156,404254,858730,744831,813184,157443,519589,-1,-1,464359,-1,-1,816151,-1,-1,-1,444504,-1,-1,-1,-1,-1,-1,968644,346715,81280,322488,-1,757280,-1,940113,-1,-1,71318,-1,239758,-1,199449,-1,-1,921882,593188,-1,-1,-1,390221,-1,616064,-1,-1,881428,375641,-1,-1,350735,419825,-1,-1,199883,-1,328326,995747,28730,-1,-1,492448,656018,260345,442006,321528,-1,175099,-1,-1,597398,-1,793705,5052,22860,550562,-1,80808,105387,990063,115783,62866,685134,-1,-1,357415,-1,-1,-1,-1,248834,-1,-1,-1,335430,547185,391745,-1,-1,-1,-1,-1,-1,880642,-1,-1,58209,478939,-1,960857,365657,-1,26526,483408,-1,403319,-1,179135,80532,-1,228170,350919,-1,-1,293988,755407,-1,863959,-1,-1,457149,-1,-1,-1,-1,535449,-1,-1,4889,-1,443676,-1,-1,679633,868570,-1,-1,491083,827367,-1,-1,555806,-1,120982,-1,965809,-1,-1,143132,-1,-1,67751,568652,720174,-1,964087,-1,-1,618086,848468,-1,-1,-1,-1,892843,79764,-1,-1,210392,379987,-1,600375,-1,947434,-1,-1,572961,135690,-1,-1,-1,-1,-1,-1,-1,992331,511979,-1,567902,-1,22192,-1,369618,-1,-1,163298,-1,377817,-1,-1,-1,18478,294894,-1,-1,-1,25516,-1,-1,564337,763745,837302,11592,325480,-1,-1,758776,480987,343919,-1,898714,-1,827597,-1,-1,797412,-1,536699,-1,78272,464812,536639,662099,-1,209182,484908,798803,831307,-1,-1,15376,-1,740191,-1,555849,-1,235016,-1,513354,51976,-1,561199,-1,-1,-1,-1,-1,-1,-1,286905,-1,77353,16377,-1,-1,-1,-1,779204,-1,-1,824592,-1,132467,-1,-1,-1,-1,368509,349884,572283,143510,794568,430401,-1,812023,-1,-1,673148,-1,-1,878508,404274,-1,-1,381330,-1,694387,-1,-1,-1,106623,-1,-1,53303,846050,714210,421324,207206,640711,-1,14050,64467,-1,-1,-1,-1,-1,261114,-1,911072,-1,-1,699554,-1,-1,409327,399543,-1,-1,-1,697205,136837,-1,713509,-1,867009,721385,635059,-1,-1,-1,77728,-1,-1,-1,770228,-1,-1,-1,-1,204866,-1,920101,720115,586481,-1,274991,608995,498795,-1,-1,-1,65880,-1,3536,-1,-1,307338,566586,452126,325085,-1,-1,850229,600235,525558,-1,-1,-1,-1,244010,19598,372215,-1,27255,681114,597354,60252,437713,191222,-1,-1,-1,-1,-1,-1,-1,-1,849017,938069,-1,776855,-1,440249,156686,151150,-1,463307,-1,-1,575385,-1,-1,303680,772032,-1,-1,899177,-1,-1,774528,-1,49111,-1,-1,214536,-1,-1,-1,992754,-1,-1,794290,-1,570095,346590,-1,548579,-1,537204,11316,-1,368923,96499,948262,721501,-1,-1,-1,-1,-1,-1,167124,-1,-1,694675,-1,682952,162754,-1,-1,316529,-1,-1,437702,275339,929968,-1,-1,-1,-1,-1,67298,-1,-1,451908,528107,-1,304560,826565,-1,-1,128164,-1,247032,642325,-1,528652,275647,514216,-1,222963,337198,259806,225814,-1,551514,-1,-1,-1,190101,155135,-1,-1,342481,181488,662582,229601,-1,-1,-1,-1,-1,-1,178967,-1,437340,-1,539636,771287,-1,227104,-1,-1,835964,-1,233204,844237,68736,-1,935710,-1,-1,543284,-1,998016,-1,980487,-1,-1,569338,-1,-1,-1,-1,917741,616004,118146,305853,-1,93167,-1,-1,421859,967365,752294,-1,232195,676060,-1,704325,-1,-1,141826,-1,502118,866292,-1,-1,-1,163669,-1,303185,437230,-1,-1,132744,-1,-1,-1,-1,-1,83353,213491,-1,647593,-1,-1,262557,524908,182154,474838,-1,529685,251466,457263,680917,-1,-1,-1,427332,418843,-1,997413,-1,-1,472901,-1,337959,-1,-1,-1,-1,942892,213163,42913,-1,-1,794619,849710,-1,-1,-1,215749,772951,757077,-1,916821,-1,-1,-1,202440,-1,190073,-1,-1,803929,-1,527710,199727,-1,136430,138986,514912,-1,886561,-1,133782,-1,-1,-1,-1,19156,-1,-1,-1,-1,735627,-1,-1,799693,-1,625541,-1,389512,165674,-1,587013,439332,-1,-1,406392,217980,-1,910298,57665,-1,-1,-1,-1,88,-1,389912,339268,681887,-1,665617,-1,751581,-1,-1,226330,513340,-1,44762,394358,819555,-1,-1,959798,346890,933733,617318,-1,101493,224490,151535,-1,934244,736908,-1,-1,-1,-1,769367,237537,-1,426673,-1,-1,-1,918678,310508,-1,-1,174242,-1,-1,-1,-1,384416,-1,-1,23456,-1,-1,585076,-1,-1,594478,303982,714908,15335,973598,881593,-1,-1,-1,294613,-1,740439,982591,21360,427139,-1,563821,371058,122021,-1,-1,350573,-1,-1,-1,-1,235600,-1,586139,-1,-1,729801,217653,344079,-1,720038,-1,921077,-1,-1,-1,573362,329224,157888,85800,477859,-1,-1,234714,-1,384699,859267,772878,112149,-1,-1,853514,-1,715509,491434,-1,-1,-1,-1,43660,271231,954445,574231,48477,-1,-1,263095,-1,889885,114717,-1,626114,56977,-1,-1,952182,531021,-1,642167,-1,-1,-1,325731,-1,840270,552475,-1,15062,-1,747614,123310,180239,-1,911971,464837,-1,-1,344172,826339,371264,630945,-1,-1,-1,42795,638772,688767,-1,-1,922320,-1,-1,-1,854779,989509,117879,171138,-1,-1,224041,-1,-1,32793,-1,392767,-1,-1,-1,18179,-1,-1,105257,-1,447535,636542,588440,-1,-1,352482,103521,-1,54928,-1,96122,338320,256542,-1,-1,563449,-1,453920,852277,9860,-1,-1,650309,-1,-1,-1,-1,-1,-1,-1,748476,-1,-1,614144,120368,262796,282854,-1,653049,-1,659879,149831,831646,999804,24181,270113,649537,-1,-1,103564,513793,-1,953245,-1,-1,-1,-1,-1,-1,-1,712419,-1,-1,178853,801072,279930,-1,965683,617997,-1,530788,-1,884780,-1,-1,-1,3275,-1,484108,869267,348968,-1,205831,-1,352457,955422,360478,-1,-1,680470,30326,-1,396374,288046,681555,-1,283125,-1,159044,629384,993311,365146,-1,-1,-1,896107,923465,-1,-1,-1,-1,-1,93157,425108,77660,858057,-1,-1,-1,-1,595470,110688,544413,-1,773985,-1,371144,-1,292033,-1,-1,499789,913540,644513,936691,-1,288768,681095,-1,671775,-1,153239,-1,-1,276322,-1,81908,-1,982932,-1,114882,-1,-1,528137,-1,-1,-1,-1,-1,422903,-1,63126,539387,735929,63216,852032,-1,-1,-1,208044,-1,548657,150355,-1,-1,376417,65392,86434,-1,615581,283640,916928,-1,-1,-1,-1,685063,-1,952625,-1,-1,37847,654771,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,535931,990377,694962,398961,-1,934358,-1,797641,-1,-1,-1,-1,707485,94099,-1,832473,-1,759350,-1,486721,505836,195592,-1,-1,-1,729997,-1,370612,432350,132958,-1,751889,525829,858716,733658,-1,-1,-1,-1,495912,-1,793323,-1,436660,292011,-1,-1,-1,257770,-1,-1,856828,-1,50168,-1,-1,759629,-1,588867,700483,269539,846253,-1,335963,699030,-1,439087,586639,927117,516846,524133,328314,-1,-1,959972,90557,162061,-1,-1,-1,-1,706264,921698,957822,418118,-1,-1,-1,22266,-1,795348,-1,73344,262360,92319,-1,-1,296566,-1,495440,928653,-1,-1,664146,-1,645390,702415,-1,-1,-1,-1,483492,-1,851512,838588,-1,416300,433364,-1,-1,441695,235753,-1,-1,-1,867595,374264,331509,-1,618549,-1,396855,-1,-1,704973,-1,-1,-1,-1,-1,45722,525094,-1,-1,-1,-1,-1,985900,466105,236341,-1,668164,-1,-1,937653,966189,-1,-1,788033,433833,138873,-1,365759,-1,-1,-1,294167,-1,-1,-1,-1,-1,-1,-1,-1,779314,-1,-1,-1,-1,673967,488489,-1,-1,376327,172807,-1,19407,-1,729497,-1,215902,846128,-1,-1,-1,840025,-1,-1,110499,-1,-1,-1,709895,-1,-1,-1,-1,-1,-1,906667,-1,-1,654968,538710,608912,-1,-1,914641,258321,926834,-1,-1,-1,773412,-1,95452,-1,-1,858153,416624,972473,626663,-1,-1,677040,-1,-1,-1,900493,918283,756962,512051,34768,-1,944071,-1,111659,-1,-1,-1,-1,143874,976140,101440,-1,-1,111721,-1,-1,906479,666281,768351,-1,912934,86682,80914,363204,-1,213531,-1,-1,-1,-1,581242,-1,814508,-1,-1,-1,382421,-1,-1,-1,-1,738546,-1,-1,380180,850227,893903,-1,-1,815423,171524,-1,-1,926074,927495,119827,284501,622397,-1,-1,360228,-1,-1,117264,-1,463591,859156,331643,195203,-1,611912,436565,-1,946858,246019,438970,-1,40110,-1,704009,-1,-1,748154,-1,-1,-1,559443,-1,-1,745985,-1,-1,-1,589118,206592,-1,48422,515959,-1,-1,-1,321915,-1,-1,-1,-1,-1,-1,892910,-1,-1,-1,-1,823893,860674,606234,539794,672179,501694,811,-1,495496,-1,184635,329739,413464,862854,-1,-1,-1,-1,-1,-1,-1,800917,939543,-1,-1,-1,-1,38494,-1,724592,923558,500180,-1,728138,-1,815884,-1,495300,-1,242173,-1,-1,-1,-1,840232,969085,-1,-1,478385,385977,-1,764854,-1,85671,398974,-1,400395,-1,-1,871616,-1,363206,94583,411326,288205,199698,541395,-1,44711,-1,-1,63292,232990,-1,-1,-1,894123,-1,167339,613056,-1,221877,-1,-1,-1,6038,-1,-1,790423,-1,-1,129415,-1,106675,730533,110199,983661,-1,-1,34269,639956,-1,-1,-1,391726,-1,577647,-1,82887,-1,741673,-1,631146,-1,613921,956256,823108,-1,540248,-1,774906,613064,-1,-1,-1,-1,-1,-1,591104,-1,345680,153190,-1,-1,-1,596428,-1,47392,175479,268970,851268,-1,-1,768687,739712,-1,642257,352806,193888,-1,547396,-1,-1,701377,916361,900934,-1,520221,-1,-1,-1,955319,315738,841433,318952,341820,-1,634651,-1,-1,321061,696705,-1,-1,525421,-1,303691,668594,-1,-1,529822,-1,-1,-1,-1,-1,808950,-1,-1,851189,-1,-1,-1,101005,-1,396096,-1,-1,410567,-1,790568,-1,-1,-1,-1,-1,-1,446397,699424,-1,649376,-1,778425,452273,478004,743677,158804,-1,390413,-1,-1,626030,-1,-1,-1,-1,694108,651689,367551,885875,-1,-1,641384,-1,-1,-1,309335,-1,461922,-1,305072,-1,-1,457394,546646,-1,-1,-1,696087,-1,799824,672786,826591,-1,858484,322614,-1,-1,-1,426113,51160,-1,651293,-1,-1,-1,-1,927839,750263,-1,347094,-1,-1,138225,352262,-1,632434,494804,-1,740106,-1,-1,919185,-1,-1,13749,-1,150205,-1,59626,628948,102213,-1,39992,-1,901630,862949,-1,-1,660931,-1,-1,-1,-1,778402,315414,-1,-1,-1,330033,-1,-1,-1,278906,755432,-1,158518,613637,-1,-1,541131,-1,863519,-1,-1,949972,-1,42143,998097,-1,-1,308158,-1,926358,791315,-1,468097,222734,21099,895098,242324,-1,-1,-1,-1,-1,-1,586588,-1,-1,242254,-1,-1,644012,626887,564780,198243,-1,167671,-1,390902,294761,-1,-1,-1,761669,-1,304170,552315,41544,969697,86183,-1,-1,-1,365417,746970,148457,-1,939790,15448,320123,-1,235563,103900,-1,896839,-1,788653,-1,567776,722762,-1,-1,-1,399957,846584,-1,979713,-1,480598,-1,213285,359883,229101,659280,-1,-1,469832,644704,-1,-1,-1,-1,840954,-1,-1,-1,-1,-1,-1,-1,734857,-1,-1,634891,795134,-1,725899,-1,579970,-1,-1,-1,-1,-1,-1,90433,21696,469949,-1,-1,-1,-1,-1,-1,-1,-1,453898,417072,-1,820827,121785,499676,203027,-1,544111,607277,815264,-1,751980,-1,527516,-1,-1,-1,-1,242061,558520,-1,486081,-1,63005,-1,352983,-1,65824,382732,342178,998103,-1,-1,972025,950356,881821,48143,996586,-1,329444,67599,531495,-1,309699,-1,-1,178702,591880,-1,-1,-1,699892,-1,947426,560344,-1,-1,-1,594819,328783,479458,-1,-1,-1,982476,-1,778899,3627,-1,660361,-1,878193,386870,-1,659855,-1,-1,48288,-1,122170,-1,896428,694373,-1,529633,-1,-1,831224,793458,-1,-1,-1,936864,743544,633168,-1,613954,-1,242741,90628,-1,410983,-1,28709,360573,611481,422452,-1,778918,488109,501261,48671,265775,-1,329920,-1,-1,576896,-1,272808,-1,-1,189671,5334,481864,-1,-1,-1,-1,681329,-1,-1,304607,420442,727444,199706,235770,443779,457913,-1,663529,-1,-1,896419,627638,-1,140367,451778,662880,436585,907604,655818,117329,897716,-1,612832,765013,-1,9264,317913,-1,-1,-1,575153,458284,598285,710674,-1,-1,922902,153126,-1,-1,-1,79347,906501,280221,-1,744498,38318,-1,-1,644189,-1,-1,-1,131650,617121,512132,345096,728878,822838,-1,-1,-1,-1,469212,-1,317035,-1,-1,397048,297016,-1,-1,744677,529468,460508,-1,-1,421090,509650,727372,208364,-1,518189,204058,194841,635781,756552,541916,-1,-1,-1,402639,967746,888954,722860,368324,943947,436985,-1,-1,-1,-1,495289,-1,-1,-1,-1,164176,474804,475728,-1,42572,295478,-1,-1,845230,-1,-1,931063,-1,-1,-1,-1,472099,257217,720151,578849,-1,397401,954003,-1,-1,410132,-1,478849,566877,-1,-1,-1,-1,662291,420654,-1,37610,297344,761772,-1,611117,365302,374686,-1,660322,-1,-1,800522,506769,82331,-1,296837,453983,459095,404596,-1,529807,670417,-1,548841,-1,-1,423686,747393,-1,-1,252813,110110,917687,-1,517758,352656,976717,556004,-1,784774,-1,764812,790752,-1,-1,982135,720088,-1,-1,572805,-1,389302,938383,14878,29803,-1,885759,679392,118718,-1,283584,-1,437283,-1,55704,32951,-1,681194,857366,330689,926835,-1,710895,-1,-1,-1,-1,-1,87265,-1,-1,-1,-1,380128,-1,416754,725060,-1,642461,-1,549303,837934,-1,509397,579189,-1,783186,191510,519661,900223,300080,-1,119622,419653,-1,-1,-1,213695,520846,175638,-1,934204,94058,690841,89159,-1,341769,73403,531421,674752,-1,-1,75255,-1,945179,563693,-1,-1,3741,-1,121703,199148,-1,379109,77081,-1,556984,74715,559616,-1,-1,-1,316447,-1,-1,49777,262484,20252,-1,653173,-1,-1,1099,-1,-1,87219,-1,64742,-1,97911,176091,650527,533678,-1,575691,-1,-1,-1,-1,112502,-1,-1,417643,-1,433749,-1,6656,-1,-1,-1,-1,415688,-1,-1,-1,592638,-1,-1,811924,337503,826922,2345,500013,279892,-1,-1,-1,-1,-1,-1,-1,-1,540230,-1,767671,21744,430098,-1,586062,-1,127754,905338,813272,-1,-1,-1,98819,-1,-1,135808,660066,326077,-1,215793,-1,724825,382635,-1,-1,674808,793844,547298,400025,-1,957854,-1,-1,-1,825481,-1,-1,-1,852790,-1,142042,919413,958594,-1,-1,305938,-1,-1,-1,-1,-1,-1,325543,-1,-1,-1,-1,-1,613202,-1,654149,-1,239956,574044,-1,-1,-1,769261,-1,-1,257787,469643,-1,749192,-1,-1,-1,-1,-1,-1,8646,-1,-1,146177,722653,932022,-1,978201,279847,419042,785873,661401,-1,-1,-1,-1,31873,-1,914874,627378,365428,-1,394561,653133,841538,639730,462276,23636,-1,261058,-1,-1,-1,860340,705268,-1,386186,381080,534691,-1,-1,972153,756164,565751,152587,-1,-1,-1,512246,-1,-1,962374,-1,-1,967631,347735,-1,534264,-1,384809,937699,-1,634085,166523,-1,137556,436683,-1,125499,12036,-1,860576,-1,-1,-1,-1,-1,954074,-1,-1,492795,402570,-1,417977,744733,113674,-1,775175,-1,-1,840554,-1,545854,-1,190956,-1,824255,-1,-1,447209,258514,89437,514013,175605,721294,42777,634707,552383,117181,372998,103793,707323,-1,830743,-1,-1,-1,326118,-1,-1,-1,-1,730748,-1,550669,521968,867173,-1,-1,59220,79523,119833,-1,-1,10232,-1,-1,919917,681935,-1,-1,-1,-1,-1,-1,929319,-1,-1,817593,922573,736957,862219,-1,-1,-1,486867,684011,-1,-1,734651,595960,-1,-1,-1,151447,-1,-1,371433,-1,590720,981274,641947,-1,285226,-1,185555,564827,40743,852291,445307,158956,-1,472712,-1,775259,550204,993306,-1,353446,-1,326212,505737,262248,664308,-1,752179,136059,-1,563268,364569,677728,-1,494236,216494,263656,904545,852100,-1,-1,-1,-1,971026,873257,430373,671105,-1,622494,705624,-1,495939,693925,-1,632751,-1,-1,-1,163774,264119,470517,-1,158845,-1,-1,-1,76823,403671,697652,-1,-1,41547,-1,-1,300706,-1,497380,-1,522412,719102,610906,907609,-1,988166,586492,173177,-1,-1,363762,-1,466293,-1,-1,-1,-1,307910,-1,544395,173282,657550,-1,334325,-1,879177,-1,277322,995697,60164,16667,533956,844953,202403,289928,738799,703804,-1,501859,-1,386458,-1,-1,-1,950957,-1,-1,-1,754177,-1,-1,-1,-1,-1,-1,652263,643476,392139,-1,-1,-1,776051,950565,-1,696799,-1,860275,-1,167043,750425,-1,304711,-1,271250,811137,-1,-1,754234,786283,621215,477534,226284,208982,404474,708498,277933,316417,-1,-1,-1,664530,-1,-1,-1,191463,-1,-1,413353,801238,-1,-1,609836,-1,-1,805124,301998,-1,-1,211357,490942,442422,-1,-1,-1,-1,276176,-1,671993,-1,-1,861265,823546,-1,-1,-1,-1,427548,-1,252157,857244,-1,-1,-1,-1,-1,335543,-1,-1,-1,-1,195460,-1,-1,940711,274414,735240,-1,-1,-1,-1,-1,-1,468633,294153,259355,-1,356039,-1,388514,914332,-1,319714,-1,492054,-1,-1,-1,577394,714983,593239,-1,622031,-1,-1,698057,-1,357107,-1,343962,-1,558261,-1,546328,-1,-1,603194,877743,-1,977662,190679,-1,-1,-1,381673,-1,180689,145352,-1,-1,534297,-1,283972,-1,553715,796829,491618,88680,-1,966038,947374,256966,870373,237156,-1,380188,988283,616695,966360,899646,143127,329193,983405,-1,34985,600679,-1,-1,-1,205655,835997,512056,-1,-1,-1,-1,654672,-1,-1,796148,326465,-1,-1,-1,756083,746930,625118,-1,833613,607064,134227,39570,551263,-1,121550,-1,-1,478474,914757,-1,-1,433329,-1,529609,-1,-1,886382,186074,-1,337059,197389,817502,674232,850763,82540,-1,-1,541907,62297,-1,-1,992541,-1,273611,-1,-1,233524,-1,-1,626990,-1,827706,-1,21647,106457,-1,-1,753013,273232,813558,-1,136888,441312,-1,867893,-1,527184,-1,-1,73416,-1,-1,-1,359475,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,970544,-1,-1,-1,886749,-1,-1,-1,-1,-1,822425,-1,461967,-1,438214,-1,-1,363021,-1,-1,-1,-1,514476,843523,-1,511441,894559,-1,-1,-1,-1,117776,-1,-1,-1,-1,96944,469883,-1,-1,292602,618115,-1,266598,921553,148565,-1,792110,-1,-1,-1,258527,-1,514573,453118,182641,357972,842819,2269,-1,889998,-1,-1,-1,-1,254017,-1,-1,-1,229141,875903,-1,-1,-1,-1,-1,-1,123654,23688,-1,-1,280208,-1,-1,-1,-1,470804,-1,-1,18995,-1,543178,-1,-1,-1,-1,-1,547531,-1,776416,-1,-1,462154,8818,942211,-1,766234,348116,-1,-1,54813,337524,907555,92528,542288,84135,-1,62617,196417,727762,473162,376831,-1,719296,188488,574988,154948,-1,586504,451806,830221,-1,-1,-1,911813,679470,83398,946842,-1,-1,808574,685087,-1,-1,-1,341022,-1,564133,971868,-1,-1,-1,-1,-1,352543,-1,291411,368589,294932,-1,-1,365982,237433,21847,470733,423894,-1,-1,142912,-1,934386,473478,-1,34567,925954,-1,-1,456198,753709,-1,749251,897072,-1,480450,913082,-1,720225,-1,-1,-1,-1,-1,-1,-1,952199,65721,890157,-1,465056,685795,785127,-1,359232,962297,-1,264272,816315,292046,725662,644761,667319,751571,-1,-1,-1,432067,-1,-1,456882,848205,-1,-1,513299,559205,498674,-1,1946,-1,974688,515449,-1,-1,692081,591465,-1,346363,864432,-1,397592,928446,-1,888248,-1,-1,-1,832064,760598,168746,643480,302446,300204,822645,-1,16773,-1,-1,-1,809090,-1,-1,146719,323193,739673,880149,235014,817953,805226,657855,582040,412446,-1,-1,-1,-1,-1,923434,167283,910030,412084,401496,461190,-1,-1,814573,264995,-1,727916,-1,-1,-1,-1,-1,249081,-1,703276,-1,472601,-1,330163,822623,-1,799530,-1,713146,967966,-1,654332,-1,-1,441558,-1,-1,-1,580093,877536,700437,-1,-1,-1,440946,580537,803304,448127,-1,149029,-1,717836,131956,174702,284553,148190,715934,-1,-1,-1,-1,-1,-1,537007,551503,-1,224967,-1,-1,-1,-1,-1,-1,247259,-1,700461,188015,753738,20224,865090,-1,-1,-1,107098,-1,392720,321018,-1,807949,802117,167119,521061,-1,-1,402699,-1,489987,-1,-1,-1,196884,361025,-1,-1,-1,-1,-1,527589,-1,40692,-1,223967,369112,820091,-1,-1,-1,-1,945109,4807,845075,-1,-1,-1,-1,616805,52571,190427,-1,461808,-1,354597,-1,-1,908578,870077,-1,58465,846401,185609,-1,744760,761526,-1,-1,-1,456713,-1,425193,220959,-1,252853,-1,279412,677123,-1,581261,158952,341409,910029,-1,287596,126084,-1,503255,616909,53099,-1,991824,-1,-1,553229,859876,846667,-1,341130,331548,-1,226600,-1,266283,-1,456588,36523,763684,-1,-1,-1,-1,-1,-1,-1,-1,-1,933408,-1,-1,-1,487097,-1,659703,483325,-1,834965,382335,683212,729285,-1,-1,146399,-1,370817,545421,-1,-1,-1,686789,548622,-1,190075,535934,876144,-1,-1,564289,756012,148744,610103,-1,221302,-1,684147,910966,-1,227635,673406,-1,547042,241565,-1,907146,-1,30715,689541,-1,-1,605681,-1,-1,-1,265779,188496,-1,686103,-1,-1,574323,-1,446746,16067,-1,-1,714587,-1,560142,946511,179897,-1,-1,-1,-1,688194,-1,-1,-1,-1,-1,-1,223968,628652,-1,-1,183584,564767,-1,597625,970905,-1,342899,500927,-1,-1,-1,-1,-1,408699,922104,373274,702942,-1,-1,-1,-1,867143,-1,859404,-1,-1,-1,-1,-1,271368,786529,862320,-1,77412,834250,-1,-1,-1,-1,-1,-1,802499,473090,385317,541400,731933,-1,-1,-1,-1,-1,-1,325264,477210,-1,469332,-1,-1,738991,-1,-1,-1,835686,-1,824742,603466,56509,313851,405984,-1,-1,410682,-1,762068,-1,375329,986665,203118,-1,-1,659533,786284,-1,-1,25292,-1,-1,951339,-1,929127,13933,-1,585224,912479,931740,411752,-1,781169,212662,733698,-1,761980,662081,-1,743344,-1,857055,-1,-1,-1,-1,59648,-1,-1,-1,-1,393108,879294,133269,-1,416522,53904,-1,-1,584112,-1,515539,747312,605356,-1,139819,716139,809243,-1,-1,-1,-1,-1,-1,-1,-1,42128,-1,-1,-1,721580,-1,-1,216901,785438,-1,-1,962045,-1,-1,82031,-1,999129,-1,-1,-1,-1,6574,816712,-1,-1,243853,-1,-1,45495,188839,25473,359506,257891,70026,-1,196084,937609,745682,-1,-1,218350,-1,-1,272717,-1,-1,439544,488383,603207,940114,129336,-1,-1,-1,981459,-1,-1,-1,147375,577784,748364,-1,-1,-1,480353,-1,-1,300031,-1,-1,595153,-1,-1,-1,-1,-1,167481,513965,772605,-1,498762,713586,-1,-1,-1,264418,-1,-1,261184,-1,643366,-1,-1,-1,980093,-1,134167,-1,642275,-1,-1,424327,770801,-1,-1,-1,322517,-1,713053,-1,755638,-1,919123,292455,-1,-1,913730,-1,122336,-1,80869,-1,938509,383530,946445,-1,-1,-1,176087,-1,-1,733643,595191,445617,-1,360287,330565,-1,904346,613535,720907,-1,-1,-1,-1,550214,83954,-1,936330,409908,-1,-1,433940,167871,-1,475864,705929,372940,-1,-1,-1,28197,-1,-1,-1,-1,-1,392538,-1,-1,-1,649201,-1,-1,-1,178086,714670,542589,-1,-1,154412,508955,901166,-1,-1,574103,-1,214121,-1,927679,830528,-1,-1,-1,371642,-1,-1,660776,-1,365804,-1,-1,-1,-1,215568,-1,432116,697456,169360,-1,964475,871171,-1,-1,-1,-1,-1,214130,-1,-1,-1,-1,-1,564843,-1,798835,-1,328491,-1,-1,244876,-1,807203,495769,945541,-1,784917,-1,121732,666077,-1,-1,-1,932618,-1,39350,569870,469859,-1,-1,520027,799705,894592,-1,63862,-1,210464,-1,-1,63339,-1,-1,723920,572791,-1,302638,833797,-1,-1,-1,-1,-1,660803,599182,558396,621728,658949,-1,582147,-1,704779,347526,313123,-1,-1,-1,-1,557026,-1,-1,-1,-1,-1,433201,-1,-1,-1,-1,740563,-1,-1,-1,-1,755512,912673,-1,720483,318152,146179,-1,727632,328211,-1,731396,-1,-1,-1,324621,-1,-1,957859,44402,-1,150308,-1,-1,609729,686484,717903,-1,991054,-1,146054,-1,-1,984036,684763,666941,13646,-1,-1,19588,981632,-1,697180,-1,-1,-1,141349,357566,-1,-1,-1,-1,-1,218498,501616,305159,-1,-1,-1,-1,710222,-1,892805,147182,-1,530252,-1,419478,87324,-1,-1,-1,304965,13517,-1,429593,-1,-1,-1,534401,-1,901935,469552,-1,187987,336410,-1,-1,487949,123645,205862,-1,884327,786389,659892,799315,776091,77127,-1,-1,307541,-1,873506,265064,16570,-1,-1,-1,91559,688148,172331,678623,-1,-1,818583,-1,-1,-1,-1,156079,721602,-1,-1,692459,910352,-1,-1,-1,275154,-1,603153,412888,-1,942155,815699,-1,-1,-1,53446,-1,-1,912136,241112,-1,978568,-1,759061,143890,605788,-1,610534,-1,330747,357228,289222,352301,-1,433397,-1,-1,-1,814754,-1,626851,-1,730087,-1,823671,506228,125773,-1,-1,-1,923404,745165,-1,605630,19765,-1,443702,917264,-1,-1,-1,888604,480221,910331,-1,-1,-1,-1,-1,290317,-1,793809,-1,815458,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,808028,67983,-1,360598,744660,754956,-1,802452,-1,368330,872120,91608,261856,-1,154148,-1,714386,133806,-1,799554,250352,-1,-1,27171,-1,117420,-1,-1,-1,166329,-1,-1,-1,475003,-1,32792,697589,-1,-1,230452,-1,289677,108656,116929,536688,-1,621608,-1,323523,826603,-1,-1,-1,974757,410257,-1,672884,487387,-1,-1,-1,-1,-1,913087,-1,-1,-1,-1,-1,291831,557146,-1,615696,-1,6381,-1,694871,-1,-1,246521,-1,-1,28908,413739,732539,-1,307328,838760,-1,867877,-1,55221,-1,918763,-1,769278,-1,338413,612430,508790,-1,186903,-1,12182,-1,219395,-1,297856,-1,-1,-1,-1,-1,982096,-1,-1,-1,-1,-1,-1,143298,-1,760251,209785,16860,-1,645905,771937,879788,365870,680236,800178,38682,-1,-1,873915,-1,-1,-1,390746,675229,-1,-1,-1,-1,413537,-1,-1,703631,-1,383484,119446,-1,-1,-1,-1,-1,388139,-1,-1,-1,-1,283888,-1,166786,483338,-1,-1,-1,588475,667467,-1,-1,295271,327626,258517,320827,-1,126054,-1,606084,-1,-1,-1,428032,106720,642638,-1,249588,599674,173293,-1,304438,-1,-1,926221,73341,66930,195388,416122,-1,-1,-1,79579,10252,-1,-1,-1,625796,-1,-1,961436,-1,367525,497294,-1,-1,-1,841396,982098,-1,488758,339281,-1,-1,-1,56315,-1,-1,-1,-1,862773,467328,700147,451899,-1,884192,115203,-1,219321,-1,-1,535017,957852,-1,531538,875970,361495,236324,-1,197147,885236,-1,103550,982852,-1,797075,-1,-1,-1,-1,74301,-1,82256,-1,65866,520935,694450,-1,137938,209238,797702,-1,-1,673321,-1,-1,-1,289925,477261,-1,13509,-1,-1,-1,-1,-1,100460,819068,258525,-1,913527,-1,311062,252895,-1,-1,-1,-1,30542,-1,-1,-1,950901,734192,-1,-1,244988,-1,-1,313755,-1,244658,-1,-1,484294,-1,672106,-1,14908,-1,-1,-1,-1,275482,-1,-1,438737,985599,-1,590924,403272,373753,-1,521254,-1,-1,-1,-1,572964,-1,358841,295073,66893,-1,-1,505202,740102,-1,668585,-1,-1,-1,647211,-1,-1,-1,-1,-1,-1,629352,889861,929866,915685,-1,-1,644832,222560,-1,119317,-1,-1,-1,175001,-1,-1,-1,692214,662098,770699,797638,-1,-1,569120,750035,-1,-1,902130,-1,720755,322251,-1,-1,589491,-1,-1,-1,648553,-1,614630,144560,372629,-1,564079,816223,-1,-1,151955,-1,-1,225615,-1,-1,-1,-1,-1,-1,-1,604382,-1,-1,456976,464407,-1,262978,-1,689486,982029,-1,293408,-1,482653,-1,322997,-1,701197,-1,317301,564811,-1,411945,436233,-1,-1,659853,169342,-1,218393,-1,-1,-1,34513,949539,119330,315065,-1,-1,718063,-1,-1,-1,383282,-1,802417,-1,544639,56392,-1,141231,-1,590663,780023,-1,-1,34893,-1,296446,629606,780285,-1,-1,651482,-1,-1,-1,-1,525195,-1,496693,768168,-1,303612,-1,783567,372822,366597,-1,-1,625381,541103,-1,706160,427357,-1,-1,-1,-1,416715,-1,479050,557451,-1,44975,-1,-1,-1,81168,-1,-1,-1,-1,-1,769839,-1,145143,-1,-1,595361,-1,-1,981323,-1,-1,-1,879237,-1,251269,794175,847478,-1,-1,604874,133514,9024,76367,-1,254459,16045,262833,-1,493511,940377,4905,937509,-1,969685,-1,404187,-1,-1,-1,11246,443798,-1,214270,606310,-1,-1,543045,9611,-1,381219,757499,964726,816217,249086,198992,417024,86764,-1,493858,408732,838516,325382,-1,497595,-1,837774,705674,787501,-1,598194,-1,918429,-1,952663,-1,-1,223531,670091,-1,378139,-1,-1,-1,574931,-1,-1,988197,60317,162141,-1,-1,-1,-1,-1,999597,-1,551154,-1,54772,758540,-1,813841,191164,410656,370473,868842,-1,-1,165379,599619,-1,673287,724047,-1,-1,-1,-1,198164,844018,-1,656949,-1,-1,-1,-1,452441,-1,40584,146738,-1,-1,-1,-1,142025,890887,-1,818431,-1,567401,481101,-1,-1,690681,517425,-1,603306,-1,375015,475302,180157,-1,-1,-1,-1,-1,-1,387263,-1,775933,703913,140618,-1,-1,-1,-1,-1,-1,-1,20285,281825,980786,728086,-1,-1,-1,-1,838625,10609,-1,981984,633426,750509,536857,19427,141070,601859,-1,307141,995197,877046,-1,-1,803820,-1,928532,154557,38338,950391,-1,516928,681127,-1,396744,-1,488293,-1,-1,882573,-1,-1,34382,-1,420205,-1,617444,-1,701969,-1,-1,-1,281082,-1,376941,32381,513537,-1,-1,-1,-1,941772,-1,-1,499546,685760,716439,7970,832003,391753,796012,-1,-1,-1,653222,-1,672712,-1,805208,-1,-1,-1,451984,-1,367270,929413,-1,-1,-1,956322,691596,980025,-1,-1,-1,55078,991988,-1,908330,-1,18632,286100,-1,-1,-1,412729,399202,-1,-1,-1,33531,666439,-1,-1,765457,639595,826503,-1,-1,701622,966720,-1,-1,82320,294270,150680,281306,-1,85974,-1,285292,114709,465636,-1,-1,730969,358458,146788,464470,783968,951188,-1,903463,-1,105554,309946,-1,-1,-1,-1,804558,-1,-1,254939,-1,-1,755770,-1,815685,848944,405721,383439,-1,786834,417209,-1,23954,-1,-1,870646,130382,-1,-1,274941,-1,331950,-1,-1,-1,-1,-1,501128,673136,202283,937398,-1,932165,-1,665117,-1,-1,-1,945205,-1,-1,614972,-1,-1,877203,73559,-1,972446,656207,-1,-1,267623,-1,-1,562645,59482,35984,-1,819675,-1,978394,-1,-1,-1,-1,487933,329385,-1,-1,189032,519608,833409,-1,991318,945994,426264,523074,313213,676233,-1,916392,-1,-1,303961,-1,-1,-1,-1,294533,991745,-1,282125,-1,-1,-1,-1,715650,-1,-1,786225,961203,-1,-1,-1,20747,869021,863773,914240,-1,989676,389563,808184,-1,-1,-1,-1,435403,-1,-1,992812,199289,162398,-1,-1,-1,107246,550569,-1,-1,-1,499139,794410,-1,545791,387023,-1,928578,-1,102989,-1,-1,211693,925500,619895,764828,545856,-1,-1,442766,-1,831120,404131,593630,-1,317302,873899,165912,-1,449293,-1,-1,210111,733977,-1,-1,942777,519388,475558,272301,318798,946679,-1,366760,391539,-1,-1,18704,278514,-1,377214,-1,710165,-1,335998,-1,-1,947034,956303,-1,-1,444300,-1,-1,-1,-1,214466,880647,-1,972393,-1,99762,-1,954256,465358,-1,145835,692489,612905,91310,-1,-1,-1,-1,-1,744879,191855,-1,971927,-1,-1,-1,-1,19419,912651,-1,-1,668961,24070,452029,-1,299205,347730,-1,153360,-1,214569,695671,406860,152405,-1,-1,-1,-1,-1,27579,475335,415157,559863,-1,-1,-1,-1,919543,-1,195407,-1,563465,829472,169351,17739,-1,-1,-1,191939,330438,-1,471109,-1,-1,-1,860256,829059,-1,-1,-1,-1,525546,428089,305228,817487,840031,995598,-1,128778,-1,-1,-1,464265,399219,-1,976950,-1,-1,40179,-1,-1,-1,-1,-1,-1,-1,-1,-1,546810,623638,513747,-1,-1,724014,701752,-1,242283,501247,-1,-1,-1,302982,938870,279582,-1,574192,-1,-1,-1,-1,-1,696529,-1,-1,-1,756409,825801,855821,-1,393200,623776,-1,762818,-1,632894,704920,210513,346900,-1,119504,239664,-1,907778,565347,-1,772672,-1,-1,-1,659547,-1,413345,-1,171225,752409,-1,-1,335036,187319,-1,859472,-1,-1,482335,-1,-1,942124,-1,-1,653182,-1,-1,681562,143496,198751,739414,-1,-1,745981,455968,-1,-1,875178,924670,180144,889637,132143,-1,212979,176846,-1,-1,-1,-1,880575,-1,869032,612946,-1,-1,757790,-1,-1,714342,-1,-1,-1,-1,504074,-1,126025,773184,293810,-1,569030,-1,973794,-1,-1,-1,666432,537060,-1,-1,126547,479030,699485,-1,-1,-1,-1,228278,-1,361209,903547,943109,243295,734155,-1,906552,683513,330564,-1,-1,457469,73124,-1,-1,246736,793656,-1,518980,-1,-1,151008,-1,908531,-1,-1,-1,-1,-1,-1,-1,-1,830004,-1,-1,-1,-1,-1,795956,58330,972141,-1,648807,92874,495318,266316,-1,642730,-1,750903,36511,717584,567297,889505,-1,829419,105609,-1,916762,-1,-1,-1,-1,-1,496009,-1,-1,852116,-1,971628,243014,278698,610689,-1,602236,-1,-1,807434,-1,11804,-1,290011,-1,-1,-1,-1,12714,-1,815866,731668,848088,-1,346826,297724,-1,939441,-1,110079,-1,-1,112005,-1,-1,-1,925671,-1,697309,991861,756623,-1,759509,-1,5163,76379,441479,-1,-1,-1,695611,-1,-1,-1,-1,512389,502498,294810,-1,449145,-1,-1,532591,425197,675134,461121,160928,820976,-1,70042,-1,-1,-1,621669,-1,37582,-1,-1,-1,-1,-1,-1,231649,879211,871965,189379,-1,-1,50280,-1,900787,708851,204714,748486,749474,37627,-1,559782,-1,897350,-1,-1,808275,-1,628388,-1,-1,396522,591020,878374,-1,-1,-1,913271,455204,-1,506932,-1,549973,299377,-1,-1,880502,-1,710275,-1,-1,551087,755182,-1,280451,590445,706540,-1,-1,494867,-1,-1,-1,441213,325346,-1,-1,-1,622732,-1,-1,-1,19231,784447,-1,-1,828521,-1,321630,684104,910332,607912,195839,690594,-1,581703,394309,-1,-1,60952,317525,-1,440022,-1,844571,180844,-1,-1,362042,539839,-1,-1,973313,-1,-1,-1,-1,-1,-1,-1,-1,179051,510652,506947,-1,-1,776491,-1,-1,329741,737559,-1,244475,885855,68901,546634,-1,-1,459329,-1,-1,-1,227852,-1,-1,667458,498122,-1,973080,-1,-1,62406,-1,553902,143010,-1,635866,744076,-1,398113,-1,258825,-1,708338,816405,-1,-1,236159,-1,-1,577665,-1,829668,-1,-1,-1,401583,-1,698732,-1,512954,126462,865213,-1,781588,463978,-1,-1,-1,602858,-1,-1,-1,-1,535484,363531,333721,-1,-1,721080,-1,-1,-1,-1,-1,-1,-1,-1,278485,-1,-1,-1,-1,33505,-1,35081,75262,-1,-1,-1,-1,678689,-1,-1,-1,-1,-1,254302,-1,-1,-1,335363,438156,308502,748255,178226,408636,136018,831765,6289,431874,-1,-1,135373,419088,-1,-1,316297,814131,789430,-1,-1,587658,-1,-1,986780,-1,-1,139486,-1,819782,-1,198285,135947,841340,192994,-1,899164,517298,-1,-1,-1,352250,406142,-1,979826,601958,-1,-1,991728,690562,208858,-1,55219,-1,787928,-1,555097,149408,-1,732200,483257,-1,-1,-1,858618,240863,-1,-1,394267,-1,263981,-1,-1,-1,-1,41619,-1,-1,880307,-1,-1,532129,410471,-1,-1,-1,594869,-1,-1,-1,-1,-1,236600,595974,-1,247942,848665,430602,327024,-1,-1,805663,344887,545772,-1,147179,-1,190392,-1,900682,-1,985216,-1,785050,-1,182486,330711,400102,-1,-1,-1,-1,146234,-1,194092,-1,676621,684622,7169,885284,-1,-1,-1,953713,-1,566,-1,-1,464973,100850,963379,-1,353768,127412,-1,-1,-1,19289,-1,994324,-1,578892,-1,-1,-1,-1,740523,-1,834716,405500,-1,-1,-1,45998,-1,295097,-1,-1,-1,665257,779037,169655,783233,704430,402845,-1,365785,-1,-1,-1,-1,-1,4620,264422,-1,-1,-1,-1,-1,-1,-1,986153,373033,261092,312023,703592,989746,-1,452398,617831,304196,61007,-1,-1,-1,107557,-1,-1,-1,661961,746198,482341,506806,-1,-1,976203,-1,601686,20487,-1,-1,192191,976268,-1,500877,-1,991465,-1,-1,-1,605677,232973,95214,-1,425417,-1,-1,446224,363240,-1,524190,670088,932179,-1,-1,426749,411851,-1,-1,939953,829008,920474,898489,-1,879501,764020,988656,-1,309588,-1,-1,713219,74045,330589,333107,758931,178809,587454,205758,571707,939343,-1,696835,-1,973927,-1,-1,-1,-1,-1,-1,-1,-1,261333,771212,-1,-1,-1,153092,835019,966045,-1,-1,-1,-1,-1,-1,181629,-1,-1,981139,-1,99238,-1,784111,70702,245754,-1,413909,766738,-1,632390,258140,-1,5926,489340,297408,462672,-1,-1,847540,450404,477395,445419,414191,452146,-1,-1,-1,-1,-1,269199,-1,926855,679578,-1,-1,198849,-1,-1,-1,-1,145322,520061,-1,-1,489511,-1,489211,882126,-1,42869,43411,837519,-1,874457,514371,163055,627171,-1,-1,197723,-1,671383,-1,881786,246773,-1,-1,-1,-1,174162,-1,188280,550686,-1,756778,573935,-1,225683,-1,-1,633739,-1,472102,132116,536143,187903,624624,750744,456212,-1,95382,-1,233274,634927,696077,-1,767219,28247,-1,854753,-1,-1,-1,559060,481719,-1,168498,-1,-1,-1,142648,903019,800942,949647,794044,647802,-1,-1,897278,-1,437105,12452,-1,248824,844848,-1,486166,-1,734669,511523,-1,-1,-1,570002,-1,597044,-1,883359,965376,-1,-1,956003,127334,760447,731197,-1,-1,988033,-1,-1,-1,-1,-1,-1,-1,97752,308459,907936,942555,814960,697053,-1,91489,808353,794732,411975,676447,590125,-1,833494,-1,-1,401698,-1,189016,-1,-1,82378,-1,-1,-1,577845,-1,-1,813108,-1,-1,842768,667478,277817,795343,812529,10040,553417,152123,-1,655370,735468,152710,572845,539677,898397,24747,-1,820679,962112,659598,-1,-1,-1,-1,591153,-1,565902,335872,19735,-1,375379,-1,-1,403984,-1,649898,-1,550809,455542,-1,732121,33663,-1,656396,856091,-1,-1,-1,117619,-1,888510,941799,-1,-1,218048,-1,-1,-1,-1,-1,-1,633656,103609,875811,245653,-1,-1,-1,174185,-1,688398,676744,35725,-1,-1,814965,310413,825635,-1,15691,242212,452992,-1,-1,-1,157802,-1,-1,198675,412196,-1,-1,293264,-1,794165,-1,319881,83680,427519,-1,-1,-1,382961,418352,-1,959392,550818,-1,1718,-1,18341,-1,911582,221690,715756,-1,-1,-1,-1,-1,-1,501143,468184,481267,-1,-1,-1,-1,-1,873807,503905,810978,787872,367418,-1,170403,231098,764901,790449,664054,-1,-1,605430,-1,712103,-1,-1,172168,-1,-1,-1,253246,-1,-1,894476,-1,560782,-1,266958,-1,12255,694879,-1,-1,-1,731638,816348,-1,-1,-1,-1,-1,77774,-1,-1,-1,768954,710968,-1,809943,650292,597882,73049,-1,-1,-1,-1,-1,484645,-1,115123,832199,525555,-1,651378,-1,631042,565401,-1,-1,577121,166368,-1,-1,505532,-1,815089,930922,-1,290139,-1,-1,559428,-1,774051,-1,-1,95855,-1,702569,365286,-1,659993,471613,35192,-1,-1,611738,-1,-1,11293,-1,-1,845074,186131,-1,362709,326341,576809,439452,423912,928381,-1,19925,-1,719436,822279,-1,429385,-1,160809,-1,-1,634828,-1,-1,-1,481364,959873,-1,-1,-1,251029,561956,-1,-1,-1,641917,-1,162531,943408,-1,-1,-1,-1,189345,-1,257684,675692,-1,146913,-1,-1,-1,-1,-1,167409,-1,153666,-1,857632,929728,-1,455973,460629,-1,6232,-1,-1,876371,-1,-1,-1,90413,-1,-1,-1,280026,-1,541014,-1,407322,-1,-1,635419,716284,340172,411765,642068,-1,9323,-1,67250,-1,-1,312102,987596,455428,354859,399630,-1,-1,-1,-1,-1,691186,-1,824346,-1,-1,-1,458678,613084,57604,-1,-1,-1,-1,-1,702222,-1,-1,633750,216946,272766,-1,-1,-1,842694,307847,-1,183537,-1,-1,405325,828512,-1,-1,917697,-1,-1,126866,807871,-1,851464,-1,-1,888977,-1,793606,23218,-1,478288,-1,-1,484848,17643,550903,916517,433396,-1,816873,-1,990206,800623,-1,757242,170643,801619,-1,-1,47609,899348,469624,-1,-1,527074,400268,387938,86116,-1,185931,-1,133593,-1,61599,-1,263733,115834,-1,-1,-1,635647,-1,595931,731798,862654,-1,-1,171209,-1,-1,352935,-1,-1,-1,-1,741923,526441,613019,-1,169312,263689,-1,294028,31612,633696,123952,-1,-1,-1,-1,-1,120934,-1,958105,26984,-1,205593,-1,-1,796446,-1,-1,-1,65300,577627,454262,-1,682541,-1,-1,838607,-1,131747,115826,391264,933029,-1,-1,148956,854335,-1,927621,441844,384714,193476,-1,-1,-1,652046,497336,559761,-1,849983,389416,534589,-1,768907,-1,-1,-1,-1,-1,550574,-1,415807,686816,-1,652471,573726,-1,192244,84429,-1,-1,-1,-1,-1,510599,150708,471468,-1,377351,-1,398461,776730,471110,-1,946574,-1,681600,299105,579312,-1,-1,875441,954804,414047,1062,739124,302379,-1,956659,-1,485162,201123,315096,778329,-1,910870,364792,-1,795863,368057,783118,128265,241106,-1,-1,901898,457212,-1,-1,-1,608295,-1,668140,-1,-1,-1,666951,-1,-1,-1,75004,123370,-1,-1,-1,887295,346535,-1,-1,-1,948675,-1,488426,-1,-1,875597,865849,-1,-1,-1,636018,-1,765265,439393,-1,-1,-1,-1,-1,-1,251913,-1,324548,-1,-1,392671,593101,-1,699730,611814,-1,-1,466800,-1,570404,408898,174641,-1,218744,-1,608516,589051,-1,171826,672498,818398,-1,-1,-1,-1,893370,922085,-1,917838,695855,-1,106808,-1,152606,961428,460912,724156,-1,-1,145435,-1,-1,-1,639750,-1,-1,-1,-1,628027,-1,-1,-1,463609,424668,535728,337478,926963,-1,-1,-1,170958,707687,-1,-1,-1,257708,-1,253692,-1,-1,-1,-1,907506,305751,896022,439491,298260,-1,532622,-1,837709,682433,-1,-1,-1,-1,206717,846091,-1,-1,726534,638030,-1,487195,885344,675550,-1,-1,428446,320233,-1,-1,-1,-1,-1,82386,-1,-1,-1,-1,868556,-1,-1,378679,-1,-1,-1,-1,-1,-1,-1,-1,165276,79759,49083,356921,896301,725843,-1,880943,619414,454101,106157,929934,221750,-1,-1,-1,-1,164555,-1,-1,-1,546357,297382,-1,-1,511670,-1,-1,406240,77788,-1,-1,784895,-1,835179,-1,891862,-1,-1,-1,-1,-1,433770,-1,235800,-1,-1,-1,-1,403372,-1,-1,-1,-1,525801,624534,-1,-1,-1,-1,-1,515582,-1,-1,658055,350053,632735,695431,804635,834600,5363,-1,962402,738670,646039,734789,430908,-1,440661,728544,-1,-1,-1,900655,357400,688846,857151,-1,-1,206015,436764,-1,-1,376555,-1,-1,664302,876025,62283,-1,-1,985114,-1,-1,-1,-1,637811,84413,413010,398350,376244,636684,-1,-1,-1,108034,242145,-1,415875,-1,71061,576433,257011,-1,-1,-1,807879,-1,383928,747030,164466,-1,754113,43850,-1,-1,-1,572912,964261,671176,78793,651789,375577,937156,-1,243254,177944,-1,139132,562558,211386,592940,-1,544717,219822,-1,-1,-1,-1,-1,910807,560435,-1,-1,-1,-1,-1,-1,-1,-1,319605,31700,-1,-1,-1,-1,416920,12122,95215,202800,-1,760428,902376,-1,771824,262462,109401,168321,596604,-1,760021,136623,569009,-1,615840,-1,-1,-1,-1,-1,6145,31704,697699,246306,-1,-1,221087,646536,-1,-1,-1,930391,-1,-1,392604,-1,-1,9393,907586,615476,927542,828553,814581,998003,-1,476392,-1,-1,927026,313944,-1,52425,810558,-1,785834,-1,444710,564537,-1,911159,-1,624722,121807,449012,462405,-1,343321,944723,-1,-1,-1,704759,-1,-1,803859,522867,33573,415277,679108,-1,-1,-1,-1,-1,512453,30625,480377,-1,-1,957126,822649,-1,-1,704691,938936,259045,31217,-1,162103,-1,301714,829051,597397,-1,926173,981335,-1,149545,824030,791237,-1,-1,-1,-1,420952,617366,-1,-1,396187,-1,753464,-1,107961,-1,128736,-1,-1,216870,170327,-1,-1,894680,438133,-1,205899,590487,-1,-1,-1,-1,-1,-1,-1,-1,255594,530943,-1,977863,33801,507182,-1,75535,308135,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,149615,747363,-1,475695,23068,649495,797839,-1,-1,-1,385056,138637,596267,444927,198576,-1,723795,-1,334329,795904,-1,-1,-1,-1,-1,641435,187714,734013,-1,-1,-1,-1,-1,619740,-1,202790,901951,-1,517649,-1,-1,-1,189373,-1,-1,984263,-1,-1,-1,537435,-1,-1,565579,243101,613102,-1,232117,214522,166702,-1,-1,226328,342704,184891,955167,-1,152717,42593,255846,372370,407626,953691,-1,620105,514357,81012,850148,-1,-1,647440,-1,590771,544251,606283,327682,-1,-1,322792,-1,-1,79698,-1,-1,-1,-1,-1,431105,-1,-1,-1,402491,598619,-1,386709,-1,357792,-1,736819,-1,254472,981607,999134,307405,111650,313364,-1,66814,-1,84298,-1,-1,502834,-1,-1,953789,-1,-1,112335,-1,197651,826661,-1,-1,-1,543737,-1,-1,-1,-1,124137,-1,185005,965328,-1,30526,898520,-1,-1,816048,574188,193232,-1,860768,-1,-1,-1,118536,-1,350050,239276,-1,81438,-1,-1,-1,-1,815887,-1,-1,-1,434561,83700,950853,832434,-1,62218,339797,-1,-1,-1,521301,-1,314205,-1,962628,-1,-1,-1,746911,-1,-1,580925,528443,-1,574336,-1,598258,-1,510534,-1,-1,256695,-1,-1,217778,199082,370376,-1,408880,493932,347679,572945,832373,6563,-1,-1,-1,13328,377098,175298,-1,604905,356093,-1,599242,-1,-1,-1,990759,-1,-1,-1,-1,-1,227902,-1,232979,449135,858920,392545,-1,-1,-1,-1,-1,-1,-1,-1,343425,-1,-1,-1,926846,-1,894320,556598,859662,119863,752022,328989,-1,-1,-1,139566,-1,1514,-1,357609,945159,711047,-1,289336,130759,-1,-1,-1,-1,420626,703316,370184,-1,-1,-1,547590,-1,-1,27237,-1,-1,-1,576487,824493,34486,356767,-1,-1,-1,576623,-1,-1,750940,-1,490366,-1,-1,36499,-1,-1,711789,-1,-1,-1,-1,419956,-1,618383,661549,43147,965052,62184,445571,-1,673664,735869,887171,-1,-1,-1,136368,259897,369211,-1,82143,968035,-1,229195,365496,-1,-1,267035,-1,182844,-1,979886,-1,370222,868457,-1,-1,-1,-1,54150,900226,-1,552178,709779,-1,-1,541023,-1,-1,606590,-1,-1,671100,152793,550586,-1,935915,-1,-1,725996,-1,833101,-1,220509,-1,-1,701732,-1,930385,921226,-1,882975,552592,-1,-1,777290,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,762713,-1,796198,-1,-1,137375,-1,671062,-1,787800,-1,-1,999714,-1,631729,207432,512388,803209,106456,458921,754138,-1,369606,-1,-1,-1,261724,-1,-1,302839,309721,892922,-1,721885,-1,381102,393119,389251,-1,-1,-1,-1,928537,-1,-1,-1,85608,603444,718607,-1,-1,927141,438505,265031,919830,790611,-1,-1,923487,745558,583337,365567,384889,378747,26390,-1,30012,644642,-1,-1,275627,-1,750095,-1,-1,-1,903828,823830,-1,585305,287077,910404,-1,-1,84580,-1,775921,495866,399190,559364,-1,491990,621586,166649,-1,-1,153337,568083,216486,-1,573829,963344,408429,-1,-1,433690,73096,484836,739998,916077,855024,-1,-1,311958,-1,-1,-1,541291,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,522625,-1,225273,-1,-1,-1,-1,441758,-1,742294,341467,-1,-1,-1,239431,-1,-1,-1,-1,-1,-1,78814,-1,529722,-1,414387,-1,734637,715256,-1,120562,-1,752808,-1,-1,615635,-1,467053,512134,-1,-1,348233,-1,-1,802781,-1,526668,-1,-1,-1,-1,-1,599580,-1,-1,-1,817202,-1,203690,272900,-1,-1,-1,-1,-1,-1,-1,927868,162087,68341,-1,485684,-1,535948,-1,820101,-1,-1,-1,243682,-1,-1,-1,123036,26550,-1,857285,-1,256196,-1,-1,931536,-1,-1,656588,-1,-1,-1,266269,-1,-1,-1,-1,-1,-1,131226,217380,398433,458157,-1,826240,-1,597699,-1,-1,56784,649615,4390,932971,142825,-1,784249,150931,-1,-1,-1,515690,-1,281975,-1,-1,608400,734117,960634,523408,-1,722595,102024,508357,-1,-1,218940,254085,81632,138585,466051,521829,695642,-1,-1,-1,6390,-1,28209,-1,948594,878258,-1,-1,947393,152716,-1,-1,-1,-1,-1,-1,70183,-1,-1,-1,878692,408027,293986,-1,177203,-1,-1,-1,-1,362162,-1,-1,-1,-1,100434,-1,869778,985316,-1,436533,-1,184852,948167,104135,92191,-1,-1,643713,320631,347273,161319,689969,823938,922600,-1,293503,461273,-1,297646,-1,-1,955198,766140,64233,-1,-1,-1,423351,-1,781135,-1,15286,-1,-1,-1,238014,-1,881499,129201,534980,949674,-1,265342,-1,-1,-1,852569,121332,-1,-1,-1,-1,648695,922223,-1,207877,641940,-1,372018,-1,307221,946343,-1,-1,988808,-1,-1,708605,653189,-1,652179,-1,-1,485213,-1,769190,-1,873792,597296,-1,389758,64803,-1,-1,-1,163484,193889,-1,-1,-1,-1,-1,48086,-1,-1,16793,835801,-1,820402,903563,890016,859652,-1,581564,940696,-1,955966,-1,954965,-1,-1,-1,961927,232645,-1,820431,255636,-1,996301,302745,939370,113647,-1,-1,326048,372338,-1,657819,531458,-1,-1,-1,-1,126146,-1,-1,592536,71076,706696,121915,-1,-1,646575,-1,-1,-1,-1,904515,-1,832006,77697,-1,888899,714094,-1,944458,147580,181495,826849,711945,733209,363063,898861,570821,412169,-1,587076,-1,-1,682523,610356,-1,623384,484125,75381,797327,-1,-1,-1,81606,737556,-1,-1,138678,609482,-1,507671,118943,464547,386933,-1,-1,708497,790984,596420,787672,671485,-1,789954,-1,-1,-1,345635,9639,492079,916334,361913,52851,108429,-1,255139,526077,-1,-1,-1,897969,493266,15969,32207,558980,-1,-1,627041,650980,-1,971104,-1,-1,-1,732558,-1,-1,-1,-1,-1,26368,-1,384293,-1,-1,-1,827284,-1,-1,283274,674626,73024,762317,394815,4862,-1,-1,-1,-1,105110,195118,142918,-1,-1,164515,775951,86624,902201,174006,-1,779813,219233,-1,976711,510955,574485,560048,261951,-1,424884,-1,581039,583142,-1,-1,950741,443336,159970,-1,2954,911521,-1,-1,907773,376090,-1,-1,-1,-1,403048,-1,600609,-1,-1,-1,295749,771374,318919,-1,767012,-1,-1,-1,-1,561152,-1,-1,698062,669734,-1,-1,324001,-1,286081,-1,945261,-1,-1,-1,-1,-1,428571,854019,-1,-1,-1,-1,358142,-1,110493,563146,545218,-1,448672,-1,988353,-1,-1,-1,-1,-1,-1,818476,235471,-1,286624,-1,-1,734105,3322,-1,-1,372796,-1,-1,587986,928951,633245,-1,-1,877138,538388,-1,-1,802768,-1,158068,199107,-1,-1,760299,266933,-1,692483,-1,-1,-1,694262,-1,799937,-1,-1,-1,994115,-1,-1,-1,-1,-1,-1,-1,-1,881709,604487,588537,-1,716045,711762,595291,-1,448075,475325,164898,-1,-1,-1,147707,909692,-1,948859,988864,922468,-1,-1,409660,543340,469358,981554,499651,-1,295119,-1,-1,-1,669223,-1,248000,968193,-1,-1,-1,-1,280298,-1,641516,-1,641534,-1,-1,-1,981063,-1,872567,-1,-1,382563,-1,-1,553505,245778,267443,-1,-1,-1,559897,-1,435050,-1,-1,-1,-1,695575,898788,-1,152053,-1,360831,164058,18222,399103,-1,968000,772176,-1,636421,849307,790066,-1,-1,338657,343523,177244,-1,771959,856388,854209,456217,798848,293090,192057,710943,-1,-1,342454,-1,399428,-1,-1,-1,575176,-1,155036,283294,-1,804641,-1,-1,936971,-1,53096,-1,-1,-1,93052,-1,137175,507187,382984,-1,936722,-1,219527,763572,-1,861464,-1,-1,-1,-1,-1,719851,855744,-1,-1,-1,-1,685041,-1,-1,-1,569214,-1,-1,88412,308217,-1,-1,-1,-1,107904,-1,-1,-1,-1,-1,-1,-1,-1,95632,732613,-1,362276,508781,609534,-1,-1,-1,-1,-1,-1,608327,644434,496420,-1,-1,510802,975473,715169,-1,245619,-1,-1,-1,-1,492210,811730,-1,-1,-1,-1,-1,-1,226668,999189,-1,-1,306160,542193,-1,-1,-1,-1,25528,-1,45002,-1,-1,-1,809563,-1,801370,-1,-1,-1,749409,314509,224496,360513,829887,195260,-1,756866,992052,-1,-1,-1,288801,317531,680039,-1,33176,-1,850655,87167,385189,157567,900663,528663,-1,-1,-1,-1,-1,443955,550163,-1,-1,786531,-1,-1,-1,-1,628360,-1,-1,964747,702852,-1,-1,-1,181526,-1,-1,-1,699158,-1,208136,-1,712945,-1,514585,162552,152172,366394,813000,-1,-1,-1,155617,-1,604311,638838,93069,501403,-1,-1,-1,-1,-1,712336,447108,-1,916969,-1,-1,-1,-1,-1,-1,776686,293160,-1,-1,-1,227032,-1,-1,-1,-1,688179,-1,-1,967242,831520,-1,571071,823380,-1,-1,-1,-1,282856,-1,850940,-1,-1,-1,214896,-1,843148,809385,-1,240072,522220,-1,805961,-1,510728,901425,-1,-1,-1,-1,-1,724770,-1,634776,-1,-1,-1,888866,-1,528742,388655,-1,-1,84778,-1,-1,208943,589112,-1,-1,-1,-1,558242,-1,621130,-1,-1,818251,417593,-1,795847,704483,-1,-1,808914,432262,-1,-1,626440,333138,-1,-1,-1,973555,360730,552957,675039,-1,544234,-1,-1,-1,-1,-1,687245,-1,-1,-1,-1,898752,-1,339942,263193,-1,311366,-1,-1,910949,-1,691419,-1,505230,-1,776601,802542,-1,-1,-1,825944,-1,-1,842971,-1,951940,273748,567516,609803,-1,223998,-1,834246,789916,74294,-1,816933,849557,-1,-1,-1,-1,813708,625802,-1,-1,535192,-1,874085,-1,-1,992554,135654,934498,-1,437727,168699,-1,118916,-1,-1,929986,-1,-1,563364,763056,212870,161684,29406,-1,-1,-1,-1,-1,155658,271039,907381,891968,-1,807683,-1,12152,-1,-1,-1,-1,-1,-1,-1,619568,162894,-1,70714,-1,-1,-1,-1,202229,-1,888812,-1,-1,-1,-1,-1,108844,-1,205550,138043,592084,-1,-1,172306,-1,-1,119797,-1,-1,-1,719402,-1,-1,-1,869987,2953,-1,-1,223023,-1,382387,179363,45617,-1,336172,-1,184652,-1,900803,363576,-1,-1,169808,-1,685286,-1,-1,-1,445364,411050,-1,169219,950200,-1,24294,-1,241755,-1,711633,-1,653927,-1,-1,104910,-1,-1,-1,-1,-1,-1,668373,-1,480609,-1,-1,569713,520771,-1,-1,-1,-1,-1,-1,-1,-1,105627,870840,185283,582996,92372,-1,-1,-1,103968,-1,-1,-1,-1,-1,900564,-1,923260,-1,-1,-1,-1,182562,873299,369209,518764,-1,-1,939935,-1,827452,-1,748625,358733,744464,-1,782536,-1,111868,-1,-1,-1,-1,-1,300788,-1,743047,240807,-1,88775,396697,212607,162959,331157,-1,250169,66667,-1,819674,110536,-1,511167,396078,942417,-1,852231,368179,860406,981595,-1,320174,-1,-1,525396,-1,196189,-1,-1,-1,988447,-1,-1,-1,915959,-1,10270,491299,360231,468304,-1,944009,388929,424203,339952,-1,868029,206463,274427,289769,-1,-1,314455,-1,-1,949919,-1,-1,-1,-1,-1,527625,-1,625512,-1,-1,-1,928399,271421,-1,624368,-1,-1,-1,170729,560375,625126,367810,285754,-1,30521,151607,-1,805012,632727,683632,-1,834319,381987,447191,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,400167,753807,-1,-1,184861,657170,338551,-1,432578,895812,618844,850508,33372,-1,-1,-1,-1,371404,906589,743749,350241,445570,-1,104710,-1,433083,-1,-1,853780,185106,-1,789993,314930,-1,-1,415285,-1,-1,-1,-1,-1,966101,-1,-1,-1,764313,551758,52031,177482,-1,841096,913336,-1,983690,-1,-1,643982,-1,-1,-1,-1,-1,-1,-1,919285,861086,-1,-1,-1,-1,714890,587716,-1,-1,659620,-1,-1,-1,-1,881906,-1,403106,-1,515325,-1,840827,-1,-1,170621,575841,180068,-1,-1,166654,-1,-1,637705,-1,-1,192335,398939,-1,525732,405090,-1,-1,-1,-1,-1,-1,817563,702380,-1,354187,114582,-1,-1,-1,-1,511221,917854,881678,601211,490866,-1,-1,810724,92035,-1,-1,-1,-1,808378,-1,-1,-1,-1,164135,-1,-1,923207,-1,-1,-1,510332,174636,7192,-1,-1,848583,-1,-1,556558,-1,154249,995293,14315,95801,329140,54081,811457,48807,-1,-1,578036,773525,38129,892449,301170,296213,182704,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,798152,-1,629143,861707,197563,18396,-1,-1,-1,726287,366203,243703,-1,356468,-1,299639,419059,269972,-1,-1,-1,343511,-1,-1,-1,-1,-1,290761,-1,634203,91261,-1,716689,-1,993972,299102,-1,877787,784334,-1,888379,-1,-1,738187,648367,-1,-1,-1,355726,-1,-1,-1,-1,490858,577871,733312,324285,-1,-1,-1,12687,78354,598476,-1,-1,41881,734798,524387,-1,559343,-1,369951,-1,-1,561973,206650,729379,-1,-1,-1,559729,-1,-1,327987,-1,-1,-1,393887,-1,665442,-1,455501,57805,-1,244542,-1,46933,392644,592967,-1,-1,-1,-1,747276,431204,-1,652951,-1,85424,883119,576630,-1,-1,949874,-1,-1,14633,-1,534619,-1,915016,898963,100715,66607,525552,-1,-1,-1,701525,-1,-1,203787,-1,-1,911853,-1,454473,613549,-1,528315,850855,296419,-1,-1,-1,-1,-1,120101,-1,-1,780746,861141,-1,782894,845227,-1,-1,-1,-1,-1,-1,-1,693497,-1,176930,-1,-1,-1,-1,-1,781099,930747,-1,51861,-1,780219,236667,-1,963878,823274,-1,155906,738021,-1,-1,-1,597630,-1,-1,680309,-1,460654,-1,-1,794689,598111,359366,637617,892982,568891,274972,-1,881695,599991,-1,-1,920461,-1,663592,81967,686493,-1,264145,83208,766655,765312,792121,-1,636414,-1,-1,856506,382945,497218,582712,193893,899036,871482,-1,-1,361144,486625,838757,-1,145264,572129,991645,344911,216886,132517,-1,-1,-1,630182,-1,424654,-1,647267,-1,-1,451201,93826,817496,204685,-1,308914,-1,233535,-1,-1,-1,-1,999835,659735,-1,713045,105559,386390,34299,716600,-1,-1,-1,987259,-1,521289,607693,35983,205444,969592,88668,182835,599335,-1,-1,-1,849077,957044,392544,-1,-1,-1,-1,175516,-1,-1,-1,243879,448789,-1,114210,-1,900891,834683,489040,151348,-1,-1,-1,-1,850476,941986,746947,486119,-1,-1,-1,450939,847096,-1,264830,621980,-1,144500,-1,636796,-1,-1,884891,302160,-1,-1,-1,-1,886304,703373,-1,898476,-1,-1,-1,426839,-1,-1,49507,791907,400378,-1,739040,709279,-1,-1,182260,147805,-1,-1,929862,-1,119975,36536,573041,-1,-1,-1,604634,624745,374415,-1,-1,-1,-1,-1,950640,-1,-1,520042,-1,155744,-1,512971,130322,633688,350407,-1,-1,944123,-1,-1,707066,-1,635664,960010,5635,-1,814893,538414,947291,-1,182079,-1,898547,718520,-1,123254,91829,-1,-1,75239,-1,878944,-1,211072,270699,154122,57867,-1,-1,-1,-1,-1,384545,986325,-1,-1,712191,801928,-1,936761,345615,650753,-1,-1,-1,927204,310304,-1,-1,901622,269058,-1,-1,-1,925106,442719,-1,-1,818346,-1,436978,-1,-1,249745,911366,-1,229092,-1,-1,284577,688649,-1,-1,-1,43044,-1,35647,-1,634629,107895,-1,946186,137239,-1,-1,-1,-1,-1,-1,661099,570285,-1,617742,-1,-1,-1,-1,-1,330664,202109,155131,-1,-1,-1,-1,-1,-1,474812,761253,979829,607360,635580,-1,166324,-1,-1,-1,-1,-1,313645,-1,-1,-1,793310,802305,-1,-1,37152,-1,-1,768779,-1,921791,-1,107874,64007,-1,-1,-1,-1,-1,606339,645545,-1,-1,145459,449132,168811,-1,202584,-1,534050,-1,-1,255934,118083,-1,-1,848024,-1,-1,4229,-1,-1,-1,395224,-1,-1,240271,-1,-1,-1,-1,982711,-1,545037,-1,689365,-1,-1,-1,-1,647587,284599,-1,336529,634530,225849,563069,903155,-1,337004,28138,-1,-1,89553,835461,-1,58558,277508,808064,-1,739424,-1,507272,766460,-1,-1,-1,-1,608760,166078,-1,417937,-1,540515,748863,837458,415418,780000,-1,-1,26122,436438,55261,-1,-1,-1,199684,-1,614059,531162,-1,797387,-1,-1,394546,-1,-1,-1,-1,273182,-1,116449,-1,-1,502457,-1,507110,181468,734525,-1,-1,201903,-1,445548,-1,648194,128130,578835,-1,537702,28526,464887,-1,-1,-1,-1,-1,30216,123657,-1,-1,-1,-1,543081,753115,24385,-1,-1,-1,674372,-1,-1,704469,-1,-1,319817,-1,628803,838897,-1,-1,-1,243670,-1,642945,685227,686184,137039,-1,-1,921391,134946,-1,-1,326792,-1,-1,747522,-1,503077,845103,-1,925640,-1,789930,87999,744479,-1,992060,603127,-1,-1,830123,851976,242425,578473,996434,-1,-1,959398,-1,334316,278467,-1,363816,814306,-1,828103,-1,-1,548188,578458,221602,235862,389083,-1,678065,-1,857426,-1,399616,-1,229769,-1,-1,-1,795777,-1,-1,727273,-1,134206,915575,-1,671853,168073,419831,84152,641494,-1,-1,-1,431745,63222,-1,-1,-1,640914,-1,491227,990112,231325,-1,112082,73880,895265,-1,134372,334146,-1,-1,-1,329496,-1,230952,435979,-1,745345,-1,-1,714875,-1,402087,-1,747636,-1,-1,622341,-1,754500,214040,697269,298817,-1,443497,563031,472002,-1,836557,-1,-1,850751,81313,-1,5413,-1,797834,775496,571845,-1,-1,-1,-1,265938,397339,213432,-1,752953,734411,307437,-1,526968,-1,753063,676714,-1,-1,-1,-1,-1,-1,-1,-1,401969,-1,361597,-1,997034,737966,-1,388980,-1,-1,148435,204114,661777,772685,439111,-1,-1,-1,819803,-1,308850,-1,-1,-1,507046,853784,-1,189799,487092,737471,-1,102910,539920,256257,-1,-1,20426,-1,389706,745604,-1,111567,581023,-1,-1,631933,760178,-1,-1,235537,295649,58946,601409,-1,-1,92574,266359,652292,382279,448516,-1,-1,-1,-1,-1,-1,112280,-1,378830,833190,-1,-1,-1,486007,-1,401016,-1,-1,169653,-1,-1,988851,757870,604277,313139,-1,-1,-1,-1,-1,-1,642235,493976,-1,-1,798067,548698,-1,-1,-1,-1,-1,-1,377801,-1,-1,785732,-1,-1,167935,727875,-1,-1,-1,312737,792768,835350,-1,9444,-1,343337,497914,887826,42243,-1,-1,-1,287773,-1,848201,379047,-1,-1,12564,-1,917397,-1,-1,621843,890707,699028,-1,120700,617538,-1,310342,984814,567934,69374,-1,-1,976629,-1,22156,-1,-1,983696,-1,-1,-1,86493,-1,34799,-1,-1,-1,-1,707649,885465,-1,736572,-1,-1,-1,-1,-1,31389,-1,-1,-1,853660,-1,-1,-1,-1,-1,830127,760462,-1,-1,-1,626569,214504,-1,-1,-1,662002,940883,701976,-1,611533,-1,-1,-1,-1,-1,-1,18193,-1,988535,-1,35860,-1,-1,917547,-1,-1,-1,871020,-1,-1,-1,-1,172734,827319,754572,796299,383603,-1,212359,-1,473289,-1,-1,938089,-1,785928,597956,208022,927540,-1,511884,845984,101244,634149,-1,-1,42879,-1,12500,44721,-1,-1,-1,-1,159473,-1,-1,796460,-1,96324,751802,70625,816502,929495,-1,-1,-1,829878,-1,-1,-1,-1,425068,701463,797739,-1,-1,819541,-1,-1,-1,637471,-1,-1,-1,833981,-1,-1,382805,352898,741952,955145,567894,528244,466335,-1,-1,647063,-1,-1,386411,475368,-1,84523,-1,764982,668175,302614,113791,800846,-1,676303,-1,-1,893234,-1,781552,-1,689450,894003,896660,41495,-1,-1,370970,-1,-1,995509,-1,-1,-1,-1,-1,-1,-1,-1,720195,855195,-1,536521,95975,459005,-1,-1,425151,552939,709776,42647,563482,-1,276650,-1,-1,-1,-1,829245,-1,227963,241085,993202,-1,-1,424570,579,779433,-1,466636,-1,37575,-1,905025,614785,-1,-1,-1,-1,703686,818647,295603,457691,-1,376709,667343,454163,194327,701803,564417,887266,631722,503746,-1,-1,-1,533732,731053,211394,222344,690620,727998,161481,704938,-1,984983,147472,969730,-1,461994,-1,874922,301941,-1,-1,-1,-1,160108,-1,-1,53602,911846,-1,125245,389320,-1,50156,781703,-1,-1,-1,764311,726164,-1,-1,372482,361428,-1,-1,645028,280587,-1,-1,-1,957261,-1,-1,360966,270565,-1,-1,454902,-1,-1,767991,257887,-1,364014,-1,-1,-1,327972,912344,-1,-1,-1,-1,874146,715610,-1,-1,460069,3785,-1,377595,-1,68986,88435,729845,-1,702558,-1,-1,-1,-1,-1,865237,471659,-1,939944,-1,-1,-1,-1,-1,-1,895203,-1,35077,58961,481058,-1,819786,156644,736986,713680,-1,498834,799498,-1,-1,954396,-1,-1,-1,-1,-1,91216,-1,-1,367543,-1,126750,207430,-1,274849,738399,437149,920140,-1,-1,639228,100811,-1,581388,-1,-1,-1,-1,133870,347947,505663,687662,356917,-1,-1,590493,618071,154280,-1,99533,-1,93491,727884,964131,-1,-1,-1,-1,604281,-1,-1,883082,868806,-1,-1,-1,786971,-1,579647,-1,-1,445505,242991,-1,-1,-1,-1,-1,-1,-1,-1,525229,977141,817426,883877,-1,-1,-1,-1,-1,58483,184709,298314,769548,-1,50625,-1,-1,535523,-1,909653,-1,-1,275315,-1,-1,-1,461500,465538,-1,-1,459832,443517,-1,-1,103822,-1,975686,-1,-1,-1,136441,946629,-1,-1,583125,935743,-1,384432,-1,-1,26579,-1,857740,657934,989786,771982,19658,-1,-1,279652,869954,835798,93043,962064,686288,259662,144377,-1,-1,-1,-1,935917,385677,-1,-1,-1,340482,-1,-1,339629,767182,930368,394334,-1,-1,-1,762398,827638,-1,-1,527912,-1,-1,-1,-1,765451,11908,-1,-1,213115,-1,376139,287417,175570,-1,946070,-1,-1,527939,401124,-1,-1,-1,-1,-1,-1,-1,-1,744375,417021,-1,55802,-1,758340,-1,300568,-1,979777,-1,184629,-1,-1,718249,-1,-1,862929,-1,-1,-1,756624,903483,-1,566960,-1,-1,-1,-1,-1,848186,736335,-1,-1,150744,-1,-1,-1,737552,389654,269747,856478,870562,583295,69985,513065,460907,-1,-1,413458,-1,-1,-1,456794,31274,134468,-1,-1,378428,-1,-1,-1,279394,684885,381163,-1,687909,638856,-1,495519,95978,757236,-1,133554,-1,-1,-1,-1,-1,-1,-1,642902,-1,-1,-1,-1,-1,-1,960110,19133,614880,-1,346999,405280,267828,-1,585630,-1,-1,-1,349276,928369,707660,-1,803505,-1,414115,-1,288976,671751,625101,-1,415828,519631,213762,769357,-1,-1,206166,-1,-1,995729,-1,-1,-1,199699,70327,365068,-1,469709,793732,1147,639009,958029,732483,-1,-1,-1,486084,-1,-1,-1,539719,203970,-1,357037,-1,753516,-1,839589,215007,361483,-1,-1,149325,928341,901449,666151,-1,-1,-1,772617,936322,-1,964027,-1,-1,-1,923231,-1,-1,-1,184340,-1,670597,-1,-1,-1,105821,-1,840657,166533,-1,991769,-1,-1,-1,880662,-1,814105,527,276630,776440,208229,-1,-1,-1,-1,-1,551727,31781,-1,-1,770994,364798,753425,870768,864493,519915,-1,-1,5788,948118,-1,424275,-1,-1,750269,381400,-1,-1,-1,71736,-1,50306,48303,825363,665446,135412,899495,-1,-1,-1,995039,-1,143969,586368,890136,631832,-1,395297,730548,-1,418463,994137,548718,618576,-1,525563,-1,179538,-1,305316,-1,136937,-1,-1,-1,-1,-1,584558,-1,-1,-1,213699,283657,816201,883488,835954,-1,-1,272389,888270,-1,-1,945316,-1,456038,595542,124856,940021,-1,-1,542142,511929,563996,-1,-1,-1,-1,-1,-1,-1,-1,798747,-1,346766,-1,816745,922465,21180,-1,-1,-1,-1,243335,703875,732964,-1,446019,-1,105090,223621,-1,37066,-1,473008,-1,-1,766382,-1,-1,120530,738015,-1,-1,-1,-1,215237,-1,-1,-1,-1,898622,-1,268214,913519,-1,201301,-1,86276,862412,-1,-1,876258,493953,-1,457719,151042,570693,-1,-1,-1,-1,334041,-1,-1,-1,-1,-1,-1,332415,295235,96263,920083,-1,630747,276110,324578,-1,-1,814551,-1,-1,247504,810473,630955,-1,954649,-1,959322,-1,578652,-1,565518,724842,-1,-1,465745,749717,10912,-1,741362,212222,445173,-1,-1,-1,855037,-1,84850,-1,-1,240748,863819,-1,-1,936014,928935,-1,-1,494032,-1,929334,421866,567524,-1,-1,-1,497745,295883,-1,926659,518188,8091,23694,847960,544379,-1,-1,-1,-1,503975,-1,131282,348775,-1,-1,721942,668922,44440,670062,-1,-1,-1,104032,-1,761293,307324,339759,-1,-1,-1,-1,282771,697944,-1,165329,939827,915530,-1,40245,590257,-1,101782,767882,-1,34779,768538,571568,-1,-1,-1,994336,-1,853150,844883,502359,-1,-1,849190,637930,-1,-1,-1,-1,-1,-1,-1,746408,189555,-1,-1,-1,-1,943049,-1,-1,-1,348271,-1,-1,-1,-1,841617,258286,-1,-1,-1,623670,-1,-1,-1,302153,840838,-1,530960,-1,91497,912176,516393,822368,-1,728923,229612,376529,-1,426941,208501,-1,895168,233358,723433,469645,257916,-1,-1,-1,555496,127975,-1,-1,-1,987079,128287,22973,-1,-1,-1,168037,946744,-1,-1,431634,-1,776038,919931,-1,470617,882786,311550,-1,-1,663078,-1,745695,-1,321244,780855,279454,51326,-1,313150,-1,-1,691977,319249,-1,670345,-1,122837,-1,929687,739194,-1,763506,-1,-1,862591,550225,-1,-1,-1,418955,580884,257507,832263,-1,-1,-1,-1,627996,361895,170226,922302,310256,201105,305974,-1,-1,633188,-1,-1,-1,997127,409869,214063,-1,53638,-1,759664,-1,-1,717961,173858,-1,434734,238869,-1,312282,-1,29115,-1,-1,-1,-1,587954,-1,-1,455377,-1,823517,-1,285787,348983,-1,-1,-1,-1,156956,282064,-1,254689,-1,-1,-1,-1,234078,864572,775628,964485,-1,-1,-1,19494,542986,184487,563801,912656,262039,658018,-1,-1,226674,172943,-1,31413,282816,-1,396740,441962,-1,981233,161543,-1,-1,-1,-1,-1,-1,501625,-1,-1,-1,877211,720704,990904,-1,360403,766908,-1,-1,-1,446929,-1,310355,25490,391263,705489,985479,-1,-1,-1,-1,369303,-1,964110,682105,623240,-1,-1,303468,442651,-1,40813,-1,650618,677966,503535,758698,206391,155705,510266,282334,531599,-1,528610,53242,-1,-1,-1,384770,-1,-1,-1,648458,828950,986642,-1,-1,-1,507586,828912,-1,-1,307472,-1,278141,-1,709198,486819,-1,885880,803176,720708,-1,861232,-1,-1,979410,-1,439371,816254,-1,144128,-1,-1,-1,890967,534585,620549,-1,-1,-1,157432,-1,377587,959352,-1,-1,491100,-1,945296,232784,271960,-1,-1,216254,-1,-1,540557,-1,-1,921192,-1,619735,-1,-1,729731,902689,-1,661227,-1,-1,726590,73135,-1,-1,-1,714330,-1,705981,309018,454683,-1,-1,-1,879564,-1,781982,433241,363829,978786,-1,825666,585792,-1,346876,-1,-1,833545,-1,77043,-1,206243,-1,630889,211489,-1,397396,66229,978844,-1,644392,442587,-1,283007,-1,-1,-1,-1,-1,-1,-1,-1,381247,94465,663438,763018,-1,-1,-1,708826,842936,799520,-1,727713,-1,551947,324067,-1,973582,-1,218978,302185,342779,-1,-1,-1,484473,456880,576004,-1,298479,-1,268095,-1,-1,-1,-1,703889,116724,-1,-1,787212,769632,-1,-1,149532,203488,-1,817259,865972,374655,889330,-1,472303,591620,-1,-1,462077,29882,-1,-1,-1,-1,225024,-1,56443,-1,318360,-1,-1,501151,722770,-1,-1,-1,915862,-1,5954,101251,-1,636413,-1,-1,226445,300227,164520,-1,36998,365851,-1,-1,-1,726194,914200,389050,652955,-1,928657,-1,633410,302900,965117,784908,969793,496588,118501,-1,-1,-1,15254,-1,503976,-1,-1,-1,-1,771901,-1,-1,359605,633915,-1,-1,-1,249475,-1,953792,625750,-1,-1,-1,-1,946613,404684,-1,289588,761449,-1,401476,-1,-1,-1,-1,604304,479462,-1,320767,170908,68803,-1,695115,-1,-1,899552,-1,-1,-1,284123,-1,-1,-1,-1,439794,-1,-1,225971,588003,-1,-1,178202,978149,526734,-1,-1,854323,582190,-1,710844,301626,531278,-1,891301,-1,154333,245740,-1,862250,403660,-1,-1,-1,-1,-1,-1,-1,849350,646537,519603,-1,484313,-1,416760,901268,641349,-1,575623,937546,-1,859197,-1,754334,491906,580836,-1,731820,603722,765164,512290,73705,-1,2994,763619,-1,869209,560976,-1,-1,226590,911940,351777,895410,-1,-1,40046,-1,698298,-1,-1,429917,813639,-1,-1,229974,82820,-1,506040,-1,-1,446408,840102,271746,315541,-1,650227,-1,-1,-1,151538,967586,-1,362161,-1,665016,-1,-1,-1,465062,836561,657715,599723,-1,454554,430036,-1,-1,329709,285315,-1,820094,-1,-1,660723,976236,-1,-1,454389,-1,413704,-1,97492,603683,410213,-1,-1,-1,-1,336630,-1,-1,428718,-1,89345,58007,435566,-1,-1,-1,873593,-1,115081,431157,684921,199746,743758,807080,996445,-1,-1,-1,565951,361801,586137,-1,-1,686586,-1,-1,-1,-1,-1,127057,652988,-1,965705,-1,-1,-1,-1,872146,-1,-1,526007,128637,-1,393414,13086,852206,214651,-1,-1,5697,479133,845444,350720,237536,960916,-1,91672,63468,94150,221726,-1,768515,948242,895367,-1,-1,311501,116295,932733,439116,-1,-1,100201,739285,868716,436716,982258,-1,-1,-1,-1,731250,-1,-1,-1,-1,-1,-1,630295,-1,-1,937044,-1,-1,588360,593002,287738,853222,-1,696236,-1,-1,618454,-1,491641,14730,96149,-1,662192,772125,983845,463532,369355,890804,-1,843135,89972,89264,765306,27938,-1,-1,-1,-1,-1,-1,450218,496932,-1,551239,-1,683251,-1,-1,-1,646464,-1,-1,-1,-1,-1,931817,-1,-1,977108,945502,727787,968167,118740,263266,-1,959823,25719,797417,529886,576190,615074,-1,-1,-1,367067,-1,961243,421261,-1,135365,-1,616895,-1,-1,-1,-1,-1,-1,174047,-1,-1,806089,199474,-1,-1,626956,-1,-1,-1,36588,257203,-1,-1,-1,-1,-1,339468,436911,230918,-1,853600,303721,-1,439816,401296,-1,-1,292681,-1,-1,805135,142115,398531,-1,486868,523934,-1,245437,818239,166365,-1,-1,698916,872205,574367,-1,402852,-1,-1,-1,-1,-1,-1,773278,903417,372351,-1,949766,-1,373260,-1,8282,-1,-1,663839,-1,339471,-1,551792,928755,-1,500862,944765,216233,-1,974096,452735,18841,-1,561810,599500,-1,413727,605058,-1,-1,579588,-1,3293,333364,112024,-1,481120,795135,-1,-1,-1,593892,749509,679338,1914,-1,510963,-1,-1,766641,844935,-1,72579,216588,364218,-1,834566,-1,331315,-1,-1,-1,326930,-1,-1,-1,738367,910977,962649,42861,-1,-1,711788,951851,-1,-1,636403,-1,-1,-1,-1,540219,-1,-1,498476,-1,-1,42060,214828,-1,-1,276561,598845,705349,730840,601983,827859,822398,-1,-1,259065,-1,353331,-1,457720,580391,576221,583232,-1,588631,324133,-1,860887,-1,9256,-1,-1,-1,-1,-1,140814,197739,-1,-1,-1,-1,845730,980039,344790,-1,-1,-1,404456,-1,22661,329742,190897,513840,-1,-1,-1,-1,-1,-1,-1,563452,-1,-1,889996,250014,741091,-1,682841,-1,-1,974315,406002,360106,-1,-1,-1,34221,269254,-1,718987,61054,56331,-1,-1,7249,275521,841943,852583,-1,-1,290520,-1,-1,602370,-1,-1,-1,-1,958091,-1,-1,-1,682571,-1,-1,-1,-1,52087,-1,-1,686784,-1,506963,169846,-1,-1,-1,-1,-1,-1,725774,-1,671949,13960,174271,-1,-1,317082,-1,689079,-1,-1,604117,-1,-1,764084,688797,-1,380983,64129,219277,731772,-1,-1,-1,-1,-1,335550,329503,868168,730655,-1,726059,-1,703900,556648,582136,-1,-1,786414,440009,-1,115544,-1,232372,275767,-1,328385,-1,-1,-1,-1,527742,958439,688066,130188,-1,639687,784372,250271,-1,-1,698820,365940,576326,-1,204919,-1,843067,616594,-1,-1,-1,247584,-1,58595,-1,731764,-1,-1,-1,107300,590435,958080,-1,-1,325698,-1,-1,424424,90048,-1,-1,-1,264698,-1,847452,815538,245387,-1,726001,-1,204033,839947,914674,-1,16196,901650,-1,829943,-1,-1,-1,932786,500921,-1,924595,-1,14646,349983,924206,689806,-1,-1,-1,824463,-1,609988,203248,894185,-1,-1,-1,-1,956675,-1,873179,-1,-1,-1,71461,-1,-1,-1,39942,408640,-1,-1,-1,188904,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,774874,989103,796662,-1,-1,-1,-1,-1,895900,-1,-1,975582,-1,681837,-1,-1,-1,202,365542,791914,-1,-1,795278,-1,-1,62532,574683,-1,318995,-1,997026,122324,420965,458756,432848,-1,335467,685717,538234,-1,652099,-1,-1,-1,-1,902102,-1,493607,-1,470989,165658,-1,459701,710379,-1,-1,-1,-1,335587,-1,640107,248921,-1,63303,-1,-1,-1,774451,800227,471163,270539,-1,876935,463260,-1,840686,-1,-1,687727,770883,791004,265121,801005,-1,-1,876435,-1,135536,260790,170782,304487,83377,-1,-1,49343,-1,34890,-1,324861,-1,-1,154995,-1,840188,-1,-1,-1,-1,700515,778859,593156,-1,874047,402483,632890,143498,254131,464756,-1,-1,976598,-1,-1,-1,292998,-1,689039,562870,676114,-1,-1,-1,-1,153145,-1,-1,-1,-1,-1,311591,996053,-1,652254,169399,915800,833722,-1,-1,-1,-1,942855,755080,943005,181207,-1,-1,165878,-1,-1,-1,740414,-1,-1,-1,594759,-1,394004,620815,-1,-1,-1,720977,-1,-1,619657,-1,-1,350963,756995,-1,-1,368656,912745,-1,-1,-1,-1,442890,-1,74360,-1,535657,705129,-1,-1,-1,489389,-1,-1,-1,-1,-1,946061,24212,-1,834572,514239,-1,498855,56258,-1,-1,845067,-1,-1,539119,746894,-1,-1,-1,-1,-1,530995,-1,-1,-1,-1,-1,439910,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,283342,-1,307371,491510,933229,726570,-1,-1,662397,-1,-1,-1,957768,973873,-1,50301,540260,-1,844842,-1,-1,-1,-1,-1,-1,526650,-1,542353,-1,18946,437262,194254,277247,-1,768190,134053,653658,17125,810385,-1,-1,-1,-1,-1,443018,-1,-1,277477,611145,-1,-1,-1,-1,294123,-1,-1,-1,645481,-1,875662,211216,-1,111247,-1,-1,524400,-1,-1,-1,-1,-1,-1,-1,-1,376257,478447,-1,55357,-1,-1,-1,681771,891769,753608,-1,-1,129943,809114,-1,36098,751530,-1,-1,-1,-1,383604,-1,559298,281905,-1,975076,382581,472413,-1,-1,120123,-1,74568,672370,-1,455888,658655,17088,851915,-1,491845,87745,758765,-1,-1,-1,285433,317192,965781,-1,993975,359799,-1,752141,80451,-1,287998,-1,804937,79467,-1,593999,275099,573724,-1,-1,606197,-1,-1,401638,-1,-1,331349,-1,456257,110790,-1,-1,-1,907257,381190,541366,518905,911581,-1,304300,408138,-1,-1,832702,-1,121888,463633,-1,383602,221613,986496,630131,68113,894029,997571,639078,-1,-1,957558,353851,615605,900553,423008,571641,-1,359404,6166,102715,-1,221452,-1,430026,984493,806703,-1,-1,53258,-1,-1,-1,-1,-1,-1,-1,-1,-1,396411,745663,-1,-1,457906,-1,374869,798169,-1,-1,187050,-1,543261,96411,-1,-1,-1,-1,-1,142624,733342,873639,-1,-1,-1,660788,-1,603604,-1,744841,599448,-1,-1,-1,75904,-1,267661,-1,121721,-1,-1,363380,-1,97969,-1,752053,-1,208462,609035,-1,676483,212430,123476,69987,-1,-1,529588,-1,870557,-1,588292,-1,715926,-1,960450,204569,394480,11278,-1,-1,-1,-1,88920,-1,807866,-1,273865,-1,-1,-1,-1,-1,340265,768966,-1,8380,-1,-1,-1,899132,-1,-1,-1,-1,-1,961054,-1,300984,-1,-1,-1,-1,-1,947070,-1,841699,-1,958538,-1,-1,105928,784401,602876,-1,-1,-1,660116,353430,232966,648860,-1,492107,-1,288696,651852,131732,111708,-1,126983,672998,-1,439664,438619,188129,357336,-1,199300,577237,632307,315613,479628,61352,443136,-1,554062,425784,-1,-1,674044,949567,-1,-1,-1,893041,-1,-1,-1,-1,127145,-1,-1,695401,537029,-1,-1,-1,411931,624697,-1,698281,-1,-1,200043,-1,12720,-1,-1,-1,-1,494742,-1,-1,847570,-1,-1,186018,408603,-1,814698,924507,-1,756541,-1,236001,757098,-1,-1,-1,913224,864494,-1,736913,-1,-1,-1,65263,-1,793915,458095,-1,-1,961247,-1,-1,216536,-1,820870,238458,627413,-1,458501,130884,422991,-1,-1,-1,170753,-1,141793,-1,-1,609109,549929,-1,-1,-1,-1,-1,365431,-1,-1,-1,-1,-1,855948,-1,37149,-1,78926,-1,-1,987098,964193,790359,358910,-1,886597,-1,55154,812517,-1,636617,-1,-1,548346,-1,-1,-1,-1,714357,732955,-1,767166,47446,-1,952112,871664,132807,-1,-1,-1,803536,-1,-1,610854,-1,-1,365402,-1,392974,-1,-1,615649,846108,638929,574354,484753,-1,835938,737882,847831,111547,-1,726047,961020,-1,-1,-1,307630,-1,873803,878241,870989,-1,-1,-1,114836,852604,318493,-1,199874,-1,247494,421374,-1,230374,119673,633247,-1,-1,-1,-1,362464,995857,965791,140441,292762,965211,512335,740711,973745,-1,650001,-1,881844,-1,376347,110345,-1,-1,162901,-1,-1,-1,-1,262892,399154,-1,701749,-1,-1,-1,618859,-1,-1,-1,-1,491352,-1,718484,-1,884808,-1,698966,-1,-1,213054,-1,97477,-1,-1,-1,323791,999170,-1,-1,886792,896684,24938,337115,256397,600124,469271,824465,-1,-1,-1,444677,-1,407531,89225,-1,-1,693717,315813,708542,426572,-1,-1,194506,190851,-1,-1,-1,-1,-1,734275,858710,-1,-1,-1,-1,764675,150302,-1,-1,361637,950742,-1,-1,-1,588095,-1,50380,-1,-1,-1,364887,-1,-1,-1,72189,-1,216132,897263,-1,-1,721229,-1,-1,-1,-1,550819,962685,7985,-1,-1,-1,159857,870478,-1,256211,549984,-1,473736,-1,-1,-1,305403,365763,-1,-1,699949,455640,-1,-1,173159,-1,-1,-1,-1,-1,727487,595839,-1,-1,-1,-1,-1,499242,780590,-1,-1,383298,-1,962643,-1,535145,644288,-1,909197,240402,947280,-1,88321,633409,-1,81469,224540,78812,-1,-1,161746,622614,453208,-1,490150,424191,-1,388638,360657,-1,842343,709942,-1,683966,-1,-1,858626,7510,820637,599192,257687,974755,-1,935988,-1,-1,295803,917048,-1,-1,343281,856250,599313,-1,498680,694548,-1,-1,48534,-1,-1,-1,523808,-1,234548,897976,452472,202005,761884,745756,38898,285747,-1,-1,435554,-1,-1,537206,248557,-1,-1,-1,-1,-1,-1,408553,-1,461193,-1,970540,312356,718085,343636,997265,-1,-1,389399,-1,82221,175067,158592,364785,297785,-1,-1,937616,-1,749781,-1,673870,-1,-1,-1,-1,-1,582333,67209,-1,-1,-1,-1,-1,-1,-1,-1,14808,411545,356058,-1,170257,810288,288903,414229,-1,-1,-1,886995,341365,716217,-1,-1,-1,402488,729234,875549,-1,-1,-1,429109,-1,802932,-1,-1,-1,-1,-1,626351,698226,227935,488487,-1,-1,673160,-1,-1,760280,517098,505341,728778,-1,-1,880531,-1,303725,372984,389615,-1,197852,208833,-1,325185,-1,-1,166976,-1,-1,-1,-1,-1,-1,777435,832314,-1,346078,878269,-1,-1,-1,-1,-1,-1,-1,-1,145482,955314,-1,547940,356570,-1,262790,-1,-1,-1,940147,29824,-1,184293,-1,818083,-1,268495,616561,735109,459547,-1,-1,778179,792579,-1,292630,368452,-1,207861,772428,-1,-1,307220,-1,-1,-1,929370,-1,908591,163604,-1,-1,867516,-1,390765,-1,-1,791859,-1,-1,172861,-1,380622,568552,791601,-1,243355,587555,-1,-1,315005,-1,-1,-1,265009,-1,-1,557759,-1,474527,177572,443830,52893,706612,100468,-1,-1,392066,718534,-1,-1,595243,-1,-1,243593,289213,82317,326443,-1,-1,-1,353484,-1,738814,766681,854455,-1,-1,-1,-1,135311,-1,46003,-1,-1,720189,47790,-1,-1,62141,-1,128259,-1,33242,697300,-1,-1,990758,-1,194930,-1,-1,-1,788937,337474,154787,-1,13262,-1,-1,622036,-1,-1,186603,828794,-1,769307,-1,-1,439321,355397,312541,-1,-1,134576,925114,-1,-1,488239,-1,313674,-1,212200,626528,244281,90040,-1,928235,-1,567760,-1,624692,-1,19851,291367,682375,761858,-1,-1,35797,25534,66532,697198,-1,387748,381022,-1,687776,833655,802118,-1,-1,678299,138625,683876,812922,-1,-1,-1,-1,210505,835562,-1,262879,843025,-1,-1,684813,-1,-1,-1,676677,412567,-1,610206,72093,888856,425301,125690,857628,-1,-1,875532,-1,918523,272424,-1,683380,-1,773729,375792,-1,-1,-1,-1,-1,131654,374567,-1,554078,117361,414505,-1,-1,-1,-1,37425,-1,-1,374481,651984,685952,795905,643131,-1,88244,-1,162928,-1,-1,-1,741165,-1,340056,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,99405,-1,994502,32165,843041,-1,731559,-1,-1,779155,970866,746104,-1,-1,58713,-1,-1,-1,376060,956213,-1,-1,695997,-1,560920,-1,-1,-1,-1,710999,-1,-1,199787,-1,-1,956832,-1,-1,-1,315614,-1,-1,-1,-1,361067,-1,744695,-1,24877,126289,349126,749997,-1,-1,-1,117704,-1,-1,-1,711065,-1,274439,-1,455601,-1,-1,-1,-1,92691,553864,685736,654127,-1,869333,995077,-1,484514,442499,-1,-1,735992,612582,312856,-1,815598,-1,715701,-1,585886,-1,858851,-1,-1,725667,446658,423318,-1,295209,-1,638413,-1,769257,448950,844070,228272,-1,712140,-1,245175,-1,-1,977333,984325,541169,-1,-1,342622,242252,852159,-1,-1,-1,-1,132554,-1,-1,241800,-1,50403,851201,550707,866854,873558,804518,281868,382426,879586,-1,-1,805472,679964,684992,266838,-1,317936,613680,-1,53076,-1,832294,-1,-1,-1,567546,-1,-1,-1,632937,-1,358631,524031,435315,-1,619339,904172,436194,921275,156720,752896,249851,-1,-1,806471,918701,633488,-1,-1,701304,-1,657298,-1,-1,521146,522307,890569,-1,623784,677468,-1,205177,-1,847121,-1,259058,-1,-1,265269,-1,954381,149469,-1,-1,-1,-1,13530,516852,819937,-1,905055,819160,-1,552787,-1,-1,-1,815495,-1,-1,-1,-1,-1,-1,597295,401720,-1,-1,-1,-1,-1,61161,-1,-1,-1,908787,259030,160152,984558,544132,282818,139061,758888,-1,-1,695411,748968,715119,-1,-1,-1,-1,857733,-1,395810,992845,371309,519426,106815,-1,405186,-1,673885,-1,657306,-1,117297,-1,-1,-1,730155,-1,-1,737468,4352,-1,-1,-1,-1,547097,-1,-1,769310,-1,-1,12801,293905,217751,158832,527675,345459,-1,483867,339828,87126,-1,568008,337606,-1,867121,-1,-1,86831,-1,-1,-1,-1,-1,778943,649960,-1,-1,37966,-1,-1,-1,-1,-1,686688,778050,-1,278233,25661,83655,537740,333163,-1,178775,-1,383324,-1,-1,-1,-1,986215,682879,284445,-1,-1,880097,117028,450506,465158,445746,562753,-1,586311,-1,492397,-1,-1,907194,-1,-1,-1,-1,-1,791057,-1,95194,-1,-1,-1,-1,-1,-1,-1,-1,-1,781369,59440,839325,-1,-1,-1,481029,-1,476846,-1,-1,-1,112073,-1,569204,254584,-1,-1,-1,-1,798871,-1,-1,-1,-1,-1,750259,-1,674459,98217,573608,219649,-1,-1,502574,-1,-1,146641,130079,-1,161099,689237,284716,-1,-1,-1,685970,951697,-1,382512,-1,-1,696953,-1,-1,-1,935684,720816,-1,911038,458830,-1,-1,-1,-1,452168,-1,259426,-1,-1,122799,-1,367089,-1,-1,608695,40606,-1,603638,-1,-1,-1,122237,383837,628852,-1,152330,411020,99199,35471,798843,-1,-1,521742,182520,521682,-1,371289,-1,-1,607610,-1,-1,575253,963260,-1,747669,-1,446662,-1,-1,123965,-1,603812,594021,-1,-1,-1,-1,857648,-1,653741,748876,800782,-1,-1,472645,205242,-1,-1,-1,198085,-1,132330,-1,611965,835517,-1,-1,-1,-1,575686,821852,-1,-1,-1,746051,-1,-1,331354,-1,217089,101282,682034,-1,-1,-1,191782,74398,916095,-1,-1,198929,-1,-1,872175,-1,-1,-1,668187,510409,364205,-1,-1,633463,-1,-1,458293,314843,-1,-1,498158,-1,-1,333004,708752,-1,-1,-1,-1,-1,-1,501344,622400,899207,990302,379369,-1,793902,108631,197543,-1,-1,187648,129338,-1,118009,-1,-1,-1,-1,120534,781946,-1,961926,119304,-1,873372,-1,-1,790637,14076,-1,-1,775645,-1,-1,158813,556161,975005,-1,743197,486692,206349,478748,561574,194427,-1,-1,-1,162320,869388,854443,-1,-1,-1,-1,-1,474296,132768,-1,625131,-1,935102,8809,-1,-1,115925,989389,5565,152733,-1,516023,541241,237070,344735,234424,-1,176016,-1,210173,-1,588151,109625,30166,117306,-1,535819,380672,423994,-1,718711,974946,644051,-1,417933,373898,261006,543220,323588,-1,-1,-1,646058,-1,652491,39171,-1,-1,-1,-1,-1,3962,-1,845429,-1,-1,556524,239105,-1,880468,504798,-1,-1,-1,-1,-1,-1,-1,981613,888545,526475,-1,791493,546066,789028,525132,-1,202719,379607,990104,281982,133906,-1,-1,438605,-1,-1,-1,-1,-1,517444,368202,-1,-1,-1,-1,247594,881927,-1,-1,-1,-1,685629,-1,-1,-1,663801,-1,887626,-1,-1,35406,-1,227708,-1,749498,-1,-1,-1,692125,-1,228579,585236,-1,-1,627271,942841,531619,-1,-1,-1,-1,-1,515047,335879,241648,-1,539994,-1,-1,-1,341351,499545,-1,547589,283664,-1,762010,-1,-1,-1,315904,396795,639339,135242,-1,537249,-1,-1,770505,-1,-1,297245,-1,-1,-1,-1,738862,-1,8154,-1,-1,-1,52621,488208,567633,-1,-1,-1,697986,-1,-1,4059,-1,696742,903415,-1,-1,448147,-1,153801,-1,-1,-1,-1,-1,212407,-1,323844,-1,996615,-1,-1,387058,-1,-1,513005,709911,108341,929767,981340,-1,-1,-1,67931,363283,-1,844803,-1,309744,-1,304308,-1,-1,775120,623096,-1,476315,411453,-1,-1,676001,-1,-1,37438,-1,298036,-1,570943,131012,-1,575541,274375,-1,360213,163235,219786,-1,-1,757642,-1,293309,-1,-1,-1,-1,104192,-1,82615,-1,-1,-1,276509,195381,720311,12738,982679,72804,460966,-1,850196,-1,-1,-1,619755,-1,-1,873731,-1,-1,320858,-1,999678,838600,76247,779881,-1,-1,637935,-1,-1,803329,949797,110010,-1,-1,330691,827669,-1,429060,815207,787890,288560,716338,154579,-1,202603,309619,-1,-1,-1,-1,894688,147607,243155,-1,-1,733887,-1,-1,-1,269963,312741,-1,286151,566773,391894,405220,484205,754434,280649,-1,248941,178105,-1,862752,635880,301193,-1,-1,-1,-1,-1,565507,-1,56763,14648,512001,-1,-1,-1,-1,266106,639005,178664,902775,-1,986779,709114,661550,14737,661103,19041,419206,178479,9593,521324,260233,-1,772506,-1,-1,-1,525738,2104,693265,-1,190093,194710,-1,-1,380153,-1,-1,-1,971114,-1,-1,-1,-1,59985,452147,798042,-1,179308,-1,-1,454579,-1,944232,-1,-1,-1,677120,864677,-1,28880,-1,410667,509552,-1,48640,965621,163763,-1,-1,255093,168506,920772,-1,-1,-1,-1,-1,796561,411829,-1,293896,728411,954725,609305,328202,-1,887860,421609,-1,-1,-1,726008,709108,604843,-1,650656,-1,-1,938854,935174,972181,-1,-1,-1,78811,-1,-1,663604,806348,140530,-1,146586,25594,444752,-1,20936,901297,615029,21373,389152,-1,92789,-1,148381,-1,248223,609955,292123,-1,233448,356512,561644,-1,233797,935366,-1,822369,709022,273632,742157,396368,-1,-1,259973,501366,496529,216818,229308,-1,362894,-1,767967,-1,669128,-1,982651,-1,-1,719205,39862,-1,-1,138958,951966,125450,-1,-1,-1,-1,-1,-1,-1,-1,-1,692353,514269,-1,-1,-1,-1,407458,48776,522419,-1,118776,-1,-1,554397,-1,58694,-1,450319,948097,23768,-1,349263,280155,904702,129478,707019,556932,433968,-1,373009,-1,758904,179849,-1,-1,491362,79660,222608,-1,-1,673229,790728,950483,40624,-1,496558,-1,-1,181077,-1,147151,-1,-1,-1,-1,-1,769368,683696,-1,-1,233849,-1,524604,1702,-1,143961,418903,105182,-1,649731,837127,28972,523512,-1,497016,51068,-1,-1,577841,-1,-1,-1,125885,902442,260428,-1,654674,-1,-1,616795,102383,644003,-1,675048,-1,552232,189170,678545,-1,-1,-1,-1,-1,453176,495269,170023,828602,918021,-1,566251,207026,-1,-1,-1,476576,-1,-1,-1,801820,-1,-1,115103,494309,489107,-1,-1,-1,-1,485043,986715,821057,159698,-1,859838,-1,326310,-1,494897,-1,-1,-1,693136,-1,-1,137825,868068,183158,610591,177290,-1,-1,472909,-1,-1,-1,831707,-1,653769,194177,819173,624606,804688,-1,-1,-1,-1,-1,-1,632493,451485,-1,-1,-1,749950,-1,635272,198903,-1,573822,734750,-1,225755,-1,-1,933899,874125,-1,-1,-1,577426,973631,672093,588509,-1,-1,-1,-1,478863,797219,818963,-1,286694,12360,882257,377574,836859,564657,-1,243271,-1,1427,-1,680586,47885,-1,-1,641548,890006,803402,904875,-1,-1,718673,-1,-1,712089,-1,-1,186234,3024,-1,-1,-1,272737,-1,-1,149560,40417,-1,194046,-1,-1,-1,623171,-1,650466,826169,968235,845449,-1,978519,-1,-1,-1,-1,932853,-1,-1,-1,896866,942795,-1,547720,-1,919757,607022,481177,416244,-1,163134,-1,-1,-1,-1,246833,-1,380169,-1,-1,-1,493171,-1,-1,866538,-1,-1,986181,707153,-1,265471,200455,-1,-1,-1,356273,-1,519094,-1,173567,-1,780210,309703,-1,585212,-1,-1,-1,997254,-1,685560,465472,-1,-1,800286,-1,559124,625746,841149,-1,-1,-1,21241,-1,438976,548699,-1,94207,480719,-1,-1,371466,882657,611092,300859,-1,-1,191389,961102,-1,917962,101432,-1,-1,201579,-1,649476,-1,207011,-1,-1,693309,-1,940694,-1,272291,462907,66547,-1,146682,965097,-1,-1,967862,263992,-1,-1,-1,628854,165299,164745,-1,-1,460593,752943,403889,550788,-1,-1,819141,-1,77259,-1,-1,-1,-1,-1,-1,-1,-1,549542,551723,953731,-1,441457,540678,-1,-1,897431,-1,148882,219336,878804,-1,-1,858239,-1,714864,558818,-1,-1,-1,388050,-1,140279,-1,-1,-1,100926,-1,337340,-1,-1,656838,332628,-1,908901,-1,10637,18056,807908,639497,-1,-1,273529,665984,200977,-1,79569,-1,235042,-1,37088,588957,-1,-1,-1,-1,-1,-1,775717,-1,142467,33969,-1,190407,766698,-1,-1,663795,-1,714708,-1,-1,408742,261558,847969,-1,-1,540062,657481,731699,-1,-1,-1,-1,268689,319156,-1,-1,56787,464955,-1,200935,577492,-1,968985,-1,-1,-1,535603,-1,-1,722745,-1,-1,-1,947843,77281,528238,-1,-1,-1,-1,-1,107912,-1,-1,-1,-1,-1,-1,327500,592075,233421,207289,347145,986336,389921,519929,162632,-1,-1,-1,19350,-1,691693,-1,-1,-1,183628,511463,385669,142659,-1,371022,79609,933363,-1,923754,346741,-1,-1,-1,130320,245331,124911,-1,563792,-1,-1,-1,-1,-1,456020,-1,65996,-1,587805,930642,923265,-1,29196,186170,145382,702489,359275,-1,-1,690440,274224,-1,-1,-1,-1,493751,-1,996270,71902,-1,-1,-1,-1,354329,429804,-1,-1,-1,950845,426784,-1,-1,798486,-1,-1,531579,-1,-1,815548,783747,-1,886140,972329,-1,797116,-1,-1,-1,-1,-1,-1,525674,875024,859361,245997,-1,285878,-1,196161,800496,423285,541608,-1,742189,327863,725310,199570,-1,-1,101983,-1,617861,-1,46168,-1,-1,907120,-1,-1,-1,-1,-1,830812,-1,-1,879635,994983,192710,508265,355876,-1,242736,217103,-1,772851,406,-1,-1,137968,-1,-1,268145,872009,199856,-1,853513,602551,-1,154522,-1,-1,145921,868300,552077,572158,-1,484135,824728,-1,-1,344241,836297,-1,-1,-1,883514,-1,629765,688109,579651,-1,882242,30973,-1,-1,731902,-1,103932,990076,184119,-1,980619,-1,-1,860388,479457,-1,-1,-1,-1,-1,-1,733687,214233,-1,691856,-1,762957,262897,95401,-1,-1,895272,564496,750236,635490,-1,-1,-1,-1,215206,399311,-1,-1,-1,895567,642915,-1,-1,908775,-1,-1,92164,-1,2233,-1,-1,-1,-1,190411,-1,-1,-1,563582,-1,297758,-1,-1,400125,-1,459164,593346,58012,-1,-1,258890,-1,-1,199922,923442,936938,613110,749500,-1,-1,-1,-1,385,-1,-1,-1,-1,72913,-1,-1,-1,391971,-1,701294,329610,-1,394520,-1,-1,130433,-1,271087,339685,336103,-1,-1,7663,832756,357187,-1,-1,756691,368971,-1,758322,471767,-1,-1,559609,936044,-1,-1,659937,601912,-1,145410,-1,-1,511734,388515,496077,-1,-1,184960,974653,913004,130397,-1,179793,-1,-1,-1,-1,-1,691631,544074,-1,404301,-1,-1,585757,739374,-1,-1,-1,-1,623028,-1,15522,-1,536489,269946,241561,212283,856578,-1,-1,-1,707502,908558,148688,88898,-1,-1,-1,-1,132975,-1,991193,341518,385490,-1,910250,-1,835087,-1,322632,668214,-1,-1,-1,-1,-1,128935,-1,-1,761720,617137,518125,-1,710722,-1,644866,77448,-1,165015,-1,-1,439667,-1,-1,863904,-1,-1,734371,-1,814389,138802,-1,766063,640648,-1,-1,-1,792633,-1,440299,-1,-1,255369,263561,-1,-1,496435,-1,-1,749958,635805,-1,643343,137978,-1,-1,879019,380871,900323,-1,-1,-1,620637,-1,347426,80895,-1,-1,-1,-1,-1,705210,663009,-1,514148,-1,-1,-1,367840,-1,248457,-1,-1,656395,663878,572693,999038,235359,596622,-1,-1,-1,-1,-1,-1,-1,-1,704746,765672,650215,472891,-1,-1,459595,500484,961494,-1,58146,-1,-1,320965,-1,-1,35556,-1,-1,458403,241051,-1,-1,-1,642208,326265,-1,-1,-1,-1,-1,-1,-1,856439,-1,-1,404501,335385,482852,952695,-1,808798,470013,-1,518498,268384,-1,-1,40605,-1,368458,-1,342578,-1,-1,-1,-1,522574,-1,999425,-1,904161,212644,-1,-1,-1,768831,195364,-1,-1,-1,-1,-1,-1,-1,-1,-1,418830,290479,-1,-1,-1,-1,607667,-1,13996,-1,-1,-1,-1,995270,-1,-1,154630,-1,-1,89131,868232,-1,554969,441546,293167,-1,-1,936977,-1,-1,-1,-1,562023,-1,-1,87789,502546,724009,-1,597808,552091,-1,909798,-1,74010,77392,96147,-1,-1,-1,702766,-1,-1,-1,-1,650970,897357,-1,282564,-1,-1,-1,-1,294883,-1,756331,-1,-1,-1,-1,275353,701689,179225,-1,-1,-1,338456,-1,-1,-1,879668,-1,-1,-1,-1,-1,-1,815220,885002,761036,-1,-1,-1,-1,822057,315891,411303,-1,417646,147831,555127,880414,-1,-1,846736,240098,278848,-1,872486,-1,-1,574189,990570,-1,-1,763243,-1,279801,-1,-1,428020,-1,-1,593111,-1,-1,399052,-1,243528,861292,624150,466646,-1,756064,-1,760636,232841,478745,180468,-1,312291,716754,947126,-1,-1,-1,293258,-1,-1,-1,-1,-1,994869,954045,-1,198988,277922,-1,-1,746166,754232,803074,178798,-1,296538,-1,327052,-1,972202,7772,159236,-1,-1,-1,-1,321756,259740,546548,-1,562741,-1,912976,507457,438295,168356,278096,757003,936381,316787,843620,65823,997095,877389,851402,-1,763115,936743,741416,502262,506277,-1,8148,-1,486040,-1,-1,-1,31974,-1,-1,-1,-1,-1,-1,128411,-1,643285,583335,420004,159913,185794,343509,-1,-1,632966,-1,367383,245602,581617,-1,-1,-1,606644,77914,144437,-1,-1,-1,-1,58326,98964,156122,-1,145028,-1,-1,972691,979673,341892,27759,966418,-1,-1,235909,418480,71624,812924,-1,295186,-1,-1,-1,-1,-1,235195,593193,-1,293463,746131,-1,579496,-1,-1,968630,-1,462245,252842,-1,-1,-1,677315,525779,-1,-1,-1,-1,-1,413374,514097,-1,612976,-1,513179,173686,500296,-1,471155,-1,538351,483716,-1,321863,-1,134315,52544,-1,-1,266703,-1,-1,-1,-1,-1,769927,986610,-1,-1,-1,245045,-1,152878,335758,-1,-1,-1,-1,99122,743594,532934,-1,615520,-1,56483,894194,988961,580548,442551,70274,152945,-1,-1,67789,-1,365776,-1,84909,-1,-1,990647,-1,-1,393283,137077,-1,153072,-1,-1,183565,-1,509703,691227,238842,-1,-1,-1,403852,-1,848988,-1,251748,-1,306782,775831,389678,-1,-1,429902,-1,-1,-1,-1,956839,508015,-1,570183,924808,-1,-1,775050,565496,694561,238240,811491,-1,791912,-1,359211,255955,-1,-1,-1,632012,285017,692394,-1,-1,-1,-1,260204,13831,-1,-1,-1,-1,327374,-1,-1,39046,519795,-1,-1,615734,-1,920258,-1,-1,-1,-1,-1,50551,-1,-1,202318,-1,-1,749889,-1,152624,539397,940544,-1,-1,-1,661560,-1,810541,508549,330789,152199,-1,61838,-1,237952,138849,-1,-1,-1,-1,-1,-1,860771,-1,-1,659177,840641,-1,351761,-1,985592,763562,-1,855161,884004,296936,617990,-1,-1,-1,-1,572554,-1,-1,-1,-1,847437,-1,-1,693400,925100,-1,44839,231168,520345,458153,-1,-1,276655,-1,-1,208320,589890,76569,126170,-1,-1,400364,-1,-1,-1,-1,348608,-1,-1,-1,118164,758438,-1,276544,238906,-1,374277,-1,301176,773875,14645,-1,-1,-1,198940,-1,-1,-1,898778,306828,193803,62429,264506,181038,973501,133226,806187,687989,822140,488776,-1,499080,-1,-1,578465,-1,-1,-1,114049,-1,-1,918013,340372,445210,490584,-1,-1,-1,-1,-1,-1,-1,882779,717503,-1,-1,-1,421971,-1,-1,673642,-1,433733,-1,266950,368815,162718,623462,-1,-1,-1,-1,-1,-1,-1,194838,-1,334227,99313,926105,-1,-1,-1,62258,-1,-1,-1,-1,-1,632248,-1,824911,-1,-1,856811,979150,-1,-1,-1,-1,469368,-1,844117,712467,-1,-1,302107,12806,-1,-1,-1,-1,476637,-1,-1,-1,-1,527326,-1,619514,786555,984740,272102,-1,-1,-1,436418,-1,308774,-1,-1,-1,203162,-1,782025,339119,-1,46331,-1,462377,448297,251457,416845,483112,699879,860988,-1,390853,-1,-1,-1,-1,-1,57428,-1,-1,759197,456466,707949,862354,-1,729171,408599,-1,730217,-1,-1,-1,896214,-1,339133,-1,-1,-1,-1,-1,988165,913803,-1,131721,348438,-1,-1,155953,184770,-1,-1,-1,-1,-1,283176,-1,-1,-1,791574,126316,-1,-1,200532,69019,-1,744643,684592,809606,148500,-1,454013,-1,-1,537659,-1,-1,-1,-1,306570,-1,775902,854343,-1,553602,-1,777332,-1,-1,249227,-1,-1,347339,433064,408480,-1,-1,-1,-1,498495,149025,856431,-1,659200,-1,-1,-1,-1,-1,239763,96703,59288,-1,-1,-1,-1,-1,803983,-1,-1,-1,683936,-1,985488,-1,908516,52758,-1,257115,25835,-1,-1,404946,46173,383774,253557,884109,-1,-1,205310,-1,848405,-1,93765,-1,-1,-1,-1,-1,-1,-1,140516,840263,-1,878089,667720,577398,78956,-1,-1,-1,-1,143454,-1,52100,471979,-1,988149,769608,526095,-1,-1,885581,202087,-1,-1,-1,-1,479728,-1,137565,930838,-1,-1,-1,675049,-1,-1,283732,924517,-1,515143,873494,666712,-1,-1,-1,684081,670366,-1,517030,-1,982611,647700,212433,-1,-1,393927,482888,917572,308069,590702,991084,368544,771007,-1,148694,25946,-1,743497,-1,640510,-1,937794,152832,-1,784457,-1,-1,-1,-1,113518,-1,768878,-1,-1,812831,831253,652973,523993,735344,-1,388886,464080,-1,-1,-1,-1,821960,238418,381471,-1,-1,-1,-1,408262,622774,639016,125972,14847,637353,-1,595022,98912,-1,-1,191947,-1,-1,-1,-1,573617,307108,122844,988464,281612,-1,41426,-1,936184,672245,-1,827584,477540,192883,-1,409729,-1,707912,-1,692979,-1,752226,-1,173086,612139,-1,971792,-1,-1,157046,858786,-1,818019,327470,373892,-1,640403,-1,-1,596300,144803,-1,335855,236929,935288,-1,-1,999270,524165,842909,-1,522829,60115,-1,-1,64394,-1,669200,-1,594301,-1,-1,-1,-1,-1,261750,930576,-1,-1,274362,-1,-1,239472,503482,542594,695943,40979,-1,946314,-1,-1,-1,490294,861074,357906,-1,629305,-1,-1,933373,-1,-1,-1,-1,-1,211247,-1,913091,-1,-1,-1,-1,530815,-1,52293,-1,-1,417671,-1,1169,-1,788712,862382,-1,100340,-1,-1,-1,-1,-1,629927,-1,489576,101473,406632,977074,199115,-1,-1,124322,107063,-1,-1,382693,412345,-1,863979,-1,-1,-1,476929,352980,96198,369068,857398,881518,738784,-1,325128,-1,-1,-1,988458,-1,561818,963203,-1,-1,-1,-1,595178,255964,972356,-1,583848,141573,699539,-1,748531,-1,-1,-1,-1,871647,725159,254532,-1,976667,-1,795931,-1,783336,-1,677264,-1,-1,131456,-1,42249,585925,598609,868210,785439,-1,544487,776485,678040,-1,807715,-1,701328,248013,644177,354254,-1,-1,390882,761562,-1,971406,177392,-1,-1,641301,680307,389833,-1,-1,-1,261963,590961,-1,90188,217981,421436,593493,-1,-1,582985,809630,-1,-1,2852,-1,868956,818905,203396,-1,-1,703357,856186,725435,-1,-1,-1,-1,647939,-1,-1,19015,437515,877988,-1,-1,-1,-1,-1,-1,-1,796921,-1,393977,227168,-1,-1,258456,-1,-1,-1,345518,-1,534942,33036,-1,422637,842925,207640,-1,-1,-1,-1,-1,-1,286925,964602,-1,801805,12091,-1,-1,-1,707925,-1,474858,278916,715157,292573,-1,325322,695064,-1,109199,749729,-1,-1,483487,968442,518827,441042,194332,-1,784105,437957,201379,-1,270625,522489,434960,963197,392681,-1,388371,207843,-1,983463,606895,94303,355608,50367,-1,642687,247370,954780,-1,186301,-1,-1,228065,621230,520495,85453,933992,10072,434869,-1,572101,541214,-1,-1,482573,823766,821630,-1,-1,-1,-1,740290,300119,-1,-1,937579,-1,-1,555201,-1,335824,-1,-1,-1,-1,-1,216474,212852,-1,-1,424790,675932,-1,244763,250129,908180,898548,805537,3911,-1,796437,58733,-1,-1,527698,948847,-1,-1,-1,-1,291464,-1,259359,-1,-1,461613,-1,-1,300208,-1,-1,-1,307550,255579,-1,708943,-1,810342,-1,-1,741024,-1,553369,-1,-1,-1,-1,-1,-1,-1,340429,-1,-1,292668,-1,-1,-1,460918,-1,-1,498931,22136,-1,839242,-1,-1,216125,-1,399469,347607,-1,-1,839174,492203,-1,-1,174227,-1,-1,-1,-1,269375,209696,-1,50895,738391,-1,-1,-1,729899,8583,-1,-1,-1,-1,752886,702260,-1,-1,-1,-1,811726,-1,865095,-1,-1,-1,-1,531441,-1,49311,-1,-1,933021,16134,-1,-1,-1,141039,-1,474506,-1,300849,751831,-1,-1,-1,-1,-1,825819,-1,78279,999660,481088,947991,-1,-1,-1,-1,-1,547932,-1,309559,490796,-1,185565,566261,216676,-1,14753,-1,-1,-1,-1,-1,252014,572888,-1,-1,-1,141859,-1,-1,-1,-1,1918,716077,428564,-1,-1,-1,-1,747985,429745,-1,195695,-1,-1,-1,447238,928931,119170,378401,446717,347932,163472,234514,980876,109305,-1,-1,-1,-1,921210,845559,-1,-1,-1,967040,554070,-1,-1,266615,-1,-1,801181,12466,-1,-1,695606,-1,946931,150344,214157,647338,-1,-1,700875,-1,175811,-1,-1,148784,-1,-1,-1,-1,585598,831041,-1,-1,-1,-1,94579,-1,378303,122501,392440,705547,-1,-1,-1,-1,123640,339713,-1,-1,980192,945220,438436,-1,-1,366424,520595,-1,-1,453576,277011,-1,-1,279364,-1,-1,163540,-1,162317,-1,713987,-1,-1,54709,31062,-1,210075,31895,789602,524226,285083,-1,290517,-1,-1,-1,571291,-1,-1,-1,71982,10901,918913,306998,-1,426011,620362,41291,-1,-1,326528,-1,-1,-1,468360,437749,-1,-1,663968,787439,228687,-1,314795,-1,516972,-1,-1,-1,-1,885500,-1,-1,-1,-1,685911,694124,819565,434598,-1,466805,-1,-1,-1,-1,333170,-1,860173,179298,165062,122657,-1,900066,-1,-1,804907,739477,-1,157934,186384,487767,-1,-1,624631,-1,874464,366479,596221,149241,980127,-1,-1,395881,703510,344588,668902,461725,-1,84291,-1,-1,-1,-1,239729,-1,175841,-1,-1,478542,439798,566476,-1,968163,401341,-1,-1,-1,366783,-1,857169,202415,-1,-1,503515,-1,871173,-1,-1,-1,827842,-1,-1,657848,-1,409692,996161,967003,779610,-1,-1,-1,732415,-1,-1,-1,346749,-1,-1,854546,-1,-1,-1,-1,-1,811862,20275,295682,-1,824799,-1,-1,-1,-1,-1,-1,22006,-1,973933,-1,-1,-1,677181,-1,190944,-1,74388,-1,696866,-1,-1,-1,697201,279398,-1,-1,-1,236109,-1,-1,237451,-1,11361,-1,787275,-1,-1,710532,682100,-1,121617,64800,-1,-1,358564,-1,-1,350909,345927,491666,-1,996372,-1,189912,-1,-1,320097,577898,-1,-1,950228,-1,841026,739909,445033,977773,413406,-1,992312,368479,448055,-1,-1,-1,760998,740671,364514,440086,463255,349488,-1,-1,-1,-1,-1,978388,222564,-1,-1,-1,-1,642974,867200,-1,41194,-1,-1,-1,712436,-1,703553,121252,-1,-1,-1,-1,-1,672981,-1,-1,369834,239718,771010,-1,-1,-1,-1,802712,-1,41062,-1,462785,-1,842566,151624,830405,-1,964980,-1,-1,711008,678948,-1,-1,667095,-1,-1,418232,-1,-1,-1,932402,-1,929313,588516,270275,74331,-1,-1,-1,-1,502120,-1,507518,871134,950306,-1,619599,123869,-1,156104,25700,152057,-1,-1,-1,430537,-1,382498,302025,436026,-1,-1,583045,-1,39460,994078,-1,-1,360411,-1,700348,-1,977150,414072,875013,12599,-1,-1,451636,899574,-1,273567,712980,-1,-1,676800,511146,-1,343139,56823,-1,924457,-1,604485,-1,-1,-1,676995,-1,468492,620002,-1,641135,-1,102015,-1,157490,650221,455193,635885,375538,-1,-1,20687,338411,-1,-1,-1,538807,256430,514410,599601,311723,836547,-1,-1,353304,-1,-1,77500,-1,845568,-1,-1,864389,-1,-1,-1,-1,808032,880867,-1,170962,617300,-1,26661,-1,753900,-1,-1,706172,-1,88471,723412,-1,958044,-1,951122,-1,111842,-1,-1,443689,376454,654700,608274,483124,26410,80693,-1,-1,293885,999803,-1,987178,-1,989113,256623,543507,-1,-1,897837,-1,613648,300975,-1,600539,166182,-1,991772,551370,894216,92435,-1,518838,514612,-1,845009,-1,-1,415151,784887,374229,614042,-1,194206,830799,-1,-1,-1,-1,402573,574430,-1,-1,-1,-1,-1,-1,-1,978137,-1,-1,-1,495762,-1,-1,253977,949963,382957,496712,-1,-1,682125,566792,747323,-1,23838,-1,60522,-1,-1,941979,-1,464113,-1,-1,-1,-1,339624,-1,383897,-1,912786,162831,509930,-1,829832,804616,405348,295528,-1,-1,600445,647603,-1,-1,92689,607796,435183,-1,-1,798971,277418,748178,205922,773877,416943,-1,-1,-1,959620,179105,-1,516,354670,-1,-1,-1,349832,319551,-1,319797,627331,-1,900156,309605,491745,-1,-1,-1,-1,-1,-1,-1,-1,747824,-1,-1,204215,515645,382637,571895,656276,136234,356626,-1,-1,-1,-1,564755,569829,-1,950064,-1,-1,474328,493837,666171,19871,225183,807246,-1,469517,-1,-1,-1,497854,804252,-1,-1,449615,-1,-1,404235,-1,981630,270380,362266,746802,-1,-1,-1,81140,-1,289537,514142,671691,-1,-1,-1,-1,-1,625787,-1,-1,535212,382344,984131,202469,-1,249314,221199,710577,376639,86402,-1,760279,-1,9923,-1,-1,-1,802079,-1,-1,-1,182356,940839,957799,920958,823665,313870,448519,-1,-1,-1,884940,464354,-1,-1,-1,-1,107943,877314,858028,-1,-1,-1,306544,560284,854332,-1,443603,-1,906664,254357,-1,-1,-1,60303,-1,-1,90811,-1,751470,984050,-1,964303,38638,148357,-1,-1,671123,-1,541118,-1,-1,-1,418552,47932,623989,-1,-1,533998,-1,-1,-1,139619,-1,-1,444984,653420,-1,-1,554973,-1,169979,-1,-1,543378,-1,-1,570206,-1,920407,254463,287420,-1,-1,48665,543895,401730,494683,689548,-1,-1,517125,-1,-1,984523,-1,-1,-1,-1,-1,415164,597622,-1,-1,272108,-1,-1,31361,-1,132124,152572,805778,851601,-1,804618,-1,863199,961881,-1,97854,-1,-1,32129,184610,-1,144003,-1,859023,-1,-1,721236,488043,-1,-1,126947,-1,-1,908791,793714,385255,564067,-1,-1,366870,406740,-1,407318,464656,138305,120147,710181,-1,351490,-1,-1,669055,357662,236701,933974,-1,749777,736154,91641,-1,942492,532663,-1,-1,-1,116448,60353,-1,480870,-1,846057,590907,-1,971318,-1,-1,832948,285752,-1,168855,-1,-1,589311,761205,327788,-1,-1,-1,240282,600153,-1,59729,841286,-1,723232,691891,978473,83077,242885,-1,-1,-1,789545,-1,831034,441362,731588,-1,988593,821213,-1,891964,-1,-1,633055,-1,-1,622952,80511,417716,-1,-1,168378,-1,-1,305214,-1,175064,-1,46721,823747,-1,453409,-1,-1,-1,512442,-1,-1,-1,81441,-1,-1,-1,-1,-1,3081,458120,865106,250258,250670,131054,817218,784556,-1,234530,-1,991758,510173,-1,966342,83646,-1,-1,554474,-1,975524,932230,-1,723397,-1,-1,320718,486529,588651,249219,-1,812644,-1,-1,105138,-1,-1,-1,-1,191907,-1,52332,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,431215,652804,-1,196803,152021,-1,-1,125818,-1,-1,-1,791792,-1,-1,595256,-1,117127,277339,612458,-1,-1,-1,-1,-1,-1,-1,169289,-1,-1,203140,801627,143394,458207,920023,-1,-1,-1,-1,622448,478822,406619,-1,-1,392802,-1,-1,-1,-1,-1,-1,-1,312826,109198,-1,730555,931332,507304,-1,724486,448457,423633,138311,48407,529492,-1,-1,-1,-1,649493,-1,-1,-1,313047,-1,-1,-1,-1,870119,-1,-1,863478,712808,506407,-1,-1,662376,-1,773300,-1,-1,234774,-1,-1,-1,-1,-1,-1,18789,844983,-1,716490,-1,-1,82935,640342,-1,-1,587478,-1,-1,929532,547926,195493,-1,966416,-1,-1,-1,-1,-1,331934,-1,-1,266959,699162,80911,-1,-1,510889,-1,325089,381696,378623,662068,-1,342748,-1,-1,-1,-1,789009,-1,412042,-1,-1,107258,-1,-1,-1,-1,-1,916400,384437,-1,-1,-1,952937,239529,-1,-1,-1,157270,379564,-1,-1,605563,-1,-1,-1,592129,891180,-1,-1,358565,-1,-1,-1,556452,-1,-1,294002,-1,617207,732246,-1,-1,-1,605945,579555,-1,190943,757206,-1,52066,-1,222785,241680,-1,427794,-1,-1,-1,-1,-1,135773,793624,-1,314186,-1,760973,-1,-1,-1,-1,-1,885024,-1,7243,-1,-1,520815,12655,-1,319412,160230,-1,909643,618793,322042,21578,913911,767971,536834,-1,-1,780667,473898,962571,262411,866093,-1,-1,-1,-1,-1,401183,122642,660787,-1,-1,585145,-1,-1,408556,-1,624338,163464,-1,-1,631885,658530,606749,-1,-1,-1,-1,789225,-1,847792,-1,-1,903342,-1,770915,-1,636525,622569,-1,550769,755856,800129,226009,48987,596506,473193,804509,755605,-1,706826,98092,70869,-1,36899,392994,-1,372970,-1,-1,-1,700239,-1,-1,504661,-1,631101,741857,-1,806150,472165,-1,656154,-1,535043,341575,196453,368426,142326,647316,-1,-1,784303,-1,839311,389243,-1,915620,396241,-1,-1,-1,-1,149884,499152,-1,971648,68950,915980,458985,904170,52055,-1,801184,613498,-1,-1,-1,172107,-1,402906,-1,-1,298551,792154,-1,-1,5445,925585,-1,-1,990210,-1,-1,-1,103292,116405,-1,-1,504644,-1,-1,707143,745244,-1,-1,-1,625237,554660,-1,-1,-1,147946,854639,974742,271962,129955,-1,937622,-1,-1,847043,470533,144535,-1,320863,-1,-1,-1,-1,-1,734591,364603,957466,541973,-1,486085,-1,-1,-1,-1,-1,-1,-1,-1,273350,57754,54909,663183,-1,-1,-1,-1,-1,692068,-1,935159,-1,613423,-1,555548,464432,427697,-1,318077,-1,11927,385950,-1,666096,-1,209480,-1,-1,-1,-1,-1,481994,-1,-1,-1,-1,123728,-1,27226,-1,-1,-1,411468,-1,-1,671933,-1,-1,241074,-1,397085,802157,983285,995088,-1,-1,509143,96330,-1,918805,-1,-1,-1,-1,-1,137277,182756,910501,-1,-1,-1,275396,841888,-1,512803,-1,460178,-1,128011,430116,681322,281504,425281,492393,-1,162536,-1,-1,957760,654344,-1,-1,-1,-1,-1,330972,-1,331515,102295,-1,374814,423613,857159,-1,76761,815848,644031,-1,-1,204724,-1,794090,-1,-1,-1,-1,90905,-1,357097,30724,-1,-1,-1,872641,957393,-1,508490,-1,-1,10679,622499,99603,-1,-1,187148,-1,453166,-1,946739,59148,-1,-1,475233,895224,922625,876693,-1,-1,799475,-1,27671,-1,-1,-1,242551,-1,-1,526903,-1,617124,-1,589501,-1,-1,893802,768739,-1,-1,926153,-1,-1,-1,-1,-1,428267,1217,-1,-1,-1,-1,216285,-1,-1,987583,984402,97928,-1,-1,-1,-1,392930,-1,-1,-1,956720,571215,-1,-1,34057,-1,-1,387141,205431,618679,-1,-1,-1,261898,319994,6500,200175,360200,-1,884390,300460,611883,852113,-1,-1,-1,54857,717309,-1,-1,680211,438580,849133,-1,-1,498063,-1,-1,963388,588466,-1,-1,36179,207135,-1,580927,-1,896357,825290,207251,328706,560687,-1,886830,-1,-1,543673,664031,-1,-1,-1,525017,126217,865928,-1,251926,438243,592917,914593,-1,300246,-1,-1,172566,132884,-1,631098,768307,-1,-1,528318,-1,-1,433442,509736,-1,-1,935163,659866,876441,-1,164784,-1,-1,881287,822574,25362,-1,27787,363979,615126,2056,-1,976442,687562,614371,905995,657487,-1,-1,188281,-1,-1,-1,-1,967015,177294,516188,-1,-1,-1,73976,-1,-1,-1,840097,677450,604071,-1,-1,-1,-1,-1,73863,-1,23255,-1,-1,279613,51625,690548,-1,-1,-1,870929,-1,-1,-1,-1,-1,957627,-1,122416,527894,165708,307020,834936,-1,113591,-1,268753,639694,-1,973532,403410,807104,386364,-1,-1,-1,-1,-1,238721,79097,-1,513052,-1,-1,-1,307545,-1,-1,-1,-1,-1,924893,292976,206104,-1,39383,-1,159852,-1,604545,-1,816537,678397,846341,269584,424343,752773,586277,38524,-1,-1,-1,597846,-1,102641,236073,886552,-1,756931,474836,834437,-1,-1,623729,-1,668767,330617,46876,300779,521914,438185,-1,-1,894296,13276,-1,423742,238542,-1,-1,522873,-1,-1,-1,-1,148153,-1,997283,947618,-1,291985,70463,523112,768569,-1,517010,-1,-1,-1,598437,981161,184526,-1,502162,428833,-1,-1,494278,-1,782820,44487,386449,-1,-1,718782,888384,298199,564731,-1,613406,-1,120630,-1,-1,166693,227065,-1,153286,-1,602322,-1,495508,-1,651586,397722,-1,377190,-1,697643,90476,87655,615736,116392,84861,-1,-1,165259,901502,975115,948419,777633,134501,-1,-1,180733,651367,340093,499013,-1,877481,-1,158023,541409,-1,-1,-1,96050,968611,769273,994231,175534,276954,-1,318525,438801,-1,233115,-1,-1,108058,-1,-1,-1,48052,588707,-1,-1,-1,761717,267394,20671,905353,-1,499469,749545,169503,-1,-1,-1,950014,166640,-1,581962,70434,851644,-1,847614,-1,-1,-1,741101,715927,-1,678963,-1,-1,470866,-1,-1,363882,-1,-1,-1,-1,446406,-1,-1,577211,267601,167924,-1,94191,-1,-1,-1,-1,-1,-1,441969,-1,-1,-1,-1,433427,-1,-1,657506,-1,-1,782277,203188,-1,-1,-1,-1,8029,988217,-1,-1,-1,-1,14365,-1,134216,804819,-1,846485,-1,22439,-1,679062,328281,645367,-1,-1,822785,63925,-1,-1,-1,531765,395870,742761,-1,852350,654409,382931,-1,-1,168959,-1,-1,-1,996984,425799,-1,-1,718611,-1,414983,-1,959784,265962,938502,385467,-1,228204,-1,864320,-1,-1,965276,320124,-1,198125,-1,-1,445955,741390,886198,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,450208,-1,372361,57671,-1,489145,-1,314769,-1,-1,-1,627039,3123,923889,852976,-1,-1,245038,-1,-1,-1,546493,562477,277072,135351,-1,96880,175957,-1,-1,993855,110635,-1,144621,803788,711935,-1,-1,-1,86516,-1,584649,638368,-1,522635,446834,943708,-1,-1,-1,-1,92143,974713,-1,-1,-1,946951,26249,-1,302711,-1,54846,-1,429253,-1,-1,364733,808720,-1,317912,-1,-1,206241,770960,-1,-1,785920,-1,284571,371762,204806,-1,-1,343777,412126,-1,-1,-1,-1,485443,185335,-1,-1,-1,-1,-1,867710,828264,-1,573682,-1,-1,594731,-1,522977,-1,-1,493738,-1,200142,131795,-1,-1,559630,904256,433230,-1,-1,426445,-1,-1,344064,963405,415259,577436,950984,-1,260456,-1,992790,891453,823534,-1,-1,302147,-1,313411,744605,-1,840552,56257,138222,-1,178636,723779,-1,986997,-1,-1,687762,-1,-1,814789,381341,-1,462101,-1,855630,-1,-1,-1,-1,8815,932475,814866,-1,447860,-1,419872,194942,-1,-1,92453,-1,-1,289739,-1,-1,-1,-1,-1,-1,-1,-1,995777,276605,-1,541492,531693,-1,-1,719043,-1,621444,289501,202970,180934,297880,-1,-1,-1,-1,438086,405559,-1,-1,-1,-1,445008,947067,-1,473603,-1,-1,967339,985909,-1,-1,-1,-1,-1,-1,-1,307294,524008,841707,979553,-1,617408,404397,85750,393028,-1,859866,-1,793922,-1,-1,233919,-1,-1,278591,464166,-1,661253,33423,-1,-1,247322,638247,66367,58767,-1,-1,770754,-1,-1,964715,254607,-1,-1,324030,-1,-1,495631,95182,970545,922343,633642,438443,629225,429569,-1,-1,-1,-1,-1,-1,541152,940134,765296,743163,539583,85417,-1,403583,18551,-1,259358,750155,-1,-1,-1,-1,488187,537445,737501,365136,60756,-1,659460,-1,-1,527534,191747,294531,548685,-1,230207,451150,-1,-1,-1,925890,107624,-1,328844,591552,-1,195890,986591,-1,356019,127843,-1,-1,240782,-1,197033,837166,875472,9414,291163,-1,23551,41011,-1,-1,328558,-1,-1,593744,591752,541195,-1,-1,-1,-1,178088,724073,423803,193143,736906,-1,-1,769582,765196,561455,910833,618336,580862,-1,-1,-1,-1,888392,583824,546054,137638,456054,653152,-1,294118,422946,635136,-1,281593,634878,-1,-1,-1,-1,-1,-1,-1,317876,701535,-1,-1,727082,-1,-1,-1,781938,172445,122907,-1,-1,-1,729982,516679,-1,-1,-1,-1,-1,388661,-1,-1,-1,-1,285576,933346,-1,507141,-1,-1,422445,-1,-1,-1,-1,-1,754345,-1,-1,-1,551634,-1,-1,-1,69045,-1,928681,-1,-1,825963,-1,636152,-1,-1,403328,-1,-1,-1,568440,-1,-1,-1,192505,59048,997131,510470,404872,399090,993179,-1,-1,-1,-1,-1,-1,-1,-1,709504,-1,381329,874890,271491,244875,-1,319784,200540,-1,-1,483235,-1,602422,-1,126101,-1,529209,824972,-1,-1,-1,305101,903408,45962,3572,842839,-1,-1,-1,124749,199310,318241,124404,-1,961351,-1,475387,985654,-1,-1,637463,774494,167157,640671,720175,-1,162619,625733,205850,-1,-1,626066,-1,416098,770831,-1,-1,-1,-1,616503,-1,-1,797232,574574,-1,999461,715791,824839,-1,731545,12631,-1,616586,84220,211643,-1,278430,-1,957746,15497,152988,-1,-1,718576,261034,-1,812374,191608,-1,-1,-1,-1,833772,441316,-1,275183,953189,-1,-1,-1,888744,214175,178662,-1,741021,-1,714712,847228,493461,-1,-1,759476,850399,375367,-1,-1,-1,452673,-1,-1,324628,-1,-1,74687,-1,84634,761406,-1,-1,-1,542890,-1,-1,401549,491777,-1,-1,125332,-1,-1,-1,-1,-1,802165,-1,169941,6032,-1,-1,911452,-1,706306,123515,-1,461476,116389,53281,196140,363432,-1,-1,178000,349346,578224,953367,452851,901044,-1,699590,637294,-1,924166,627079,165514,546191,185616,-1,-1,735223,-1,-1,125682,264222,-1,-1,147586,-1,870745,276305,430501,-1,-1,-1,975290,-1,-1,220625,-1,486230,185726,460393,107657,691172,-1,284578,430051,869407,763622,549786,-1,-1,-1,441696,690673,-1,-1,959154,-1,951578,-1,560144,299012,658244,-1,-1,622505,-1,-1,-1,688511,-1,-1,498162,-1,251941,351625,-1,504606,461718,-1,-1,-1,-1,-1,-1,-1,-1,513490,262922,-1,608018,-1,-1,19908,-1,95664,997390,10172,375167,63032,447359,-1,-1,-1,-1,996101,132381,502717,774328,683291,-1,-1,-1,-1,-1,-1,679717,115059,-1,-1,-1,7102,-1,377869,-1,-1,68674,150504,-1,-1,-1,-1,186716,-1,173973,-1,942606,-1,951551,340930,-1,183696,-1,270023,-1,-1,-1,-1,293915,-1,-1,-1,665986,352326,-1,-1,347821,191483,-1,793148,325221,323378,-1,246581,317752,-1,-1,-1,-1,-1,-1,-1,410654,-1,580045,-1,935152,559595,-1,535732,343471,934554,-1,249004,818964,-1,246315,195600,-1,572761,809340,716263,-1,539310,-1,-1,506615,338519,-1,-1,699212,-1,236216,490089,321554,543516,916659,-1,-1,699674,570467,536784,-1,-1,-1,-1,965753,-1,859209,-1,302417,-1,-1,491347,281489,-1,280719,436602,-1,974181,635222,54894,-1,451418,47644,-1,-1,-1,579890,-1,364104,-1,-1,-1,-1,-1,-1,812494,-1,879290,877032,53650,88977,-1,-1,-1,-1,934892,678321,-1,-1,-1,-1,-1,827495,281912,141727,-1,137611,261096,400677,974470,625573,577322,-1,-1,256055,-1,983570,660084,-1,-1,-1,-1,-1,264895,866418,-1,-1,-1,-1,761070,228144,-1,-1,972925,-1,-1,884483,499195,367909,-1,593991,-1,523866,146843,864130,-1,148193,-1,353827,680353,89596,906947,410434,426243,-1,-1,-1,-1,262763,143099,-1,-1,532678,-1,710350,407871,-1,-1,-1,-1,-1,-1,199847,535532,-1,763908,327006,-1,-1,-1,868041,798667,768844,-1,300819,32916,-1,-1,376516,689291,-1,348942,637610,-1,764545,-1,791119,389424,-1,470407,571655,-1,-1,27052,-1,966761,347927,443900,182107,644966,-1,628015,493827,-1,189235,525052,519981,-1,-1,-1,-1,-1,-1,29232,-1,283716,831813,44592,340946,762145,760452,581522,-1,301365,898690,-1,246968,-1,666537,960030,349561,994507,-1,-1,-1,971017,-1,-1,-1,773382,-1,432859,-1,-1,2738,-1,-1,986314,-1,70711,771415,-1,-1,924954,-1,-1,822855,210406,523026,-1,478564,783524,-1,-1,180698,339761,280436,-1,-1,947499,466347,27074,488714,533988,881761,-1,608654,976337,-1,-1,-1,-1,-1,-1,-1,86246,-1,779412,709910,275577,-1,921556,-1,170319,740101,380890,410107,-1,84215,-1,-1,-1,249486,946524,-1,-1,750581,-1,-1,62214,52183,-1,-1,-1,749047,404831,910521,-1,-1,595688,21227,424442,308938,336622,-1,423598,82125,744006,438023,-1,368188,-1,238840,297919,337091,-1,-1,-1,-1,-1,937705,799444,-1,239340,-1,-1,-1,-1,-1,-1,-1,-1,827271,-1,647680,-1,409907,-1,630069,-1,-1,-1,31761,146622,-1,-1,663524,913751,-1,355981,-1,942392,15162,959688,-1,-1,822599,-1,384928,-1,682699,-1,-1,584607,-1,652220,-1,574344,-1,-1,-1,-1,939223,-1,629028,17016,163670,-1,-1,-1,-1,-1,269758,-1,579261,-1,-1,-1,-1,312523,274075,320921,-1,311523,-1,-1,-1,290877,-1,300713,511874,120542,-1,2977,-1,-1,-1,-1,435613,-1,-1,-1,825407,513759,506204,-1,580447,-1,88172,627348,334468,818676,479556,-1,808106,-1,-1,996509,-1,227452,-1,732166,520426,-1,500127,39522,-1,19479,-1,260252,-1,982404,733293,-1,-1,-1,473870,734421,-1,-1,-1,568815,-1,636292,479718,521575,924807,-1,646819,494167,462398,36883,-1,330481,201320,871439,-1,-1,-1,-1,972743,31725,-1,-1,920582,25888,-1,-1,-1,-1,-1,-1,-1,-1,903199,-1,-1,-1,823770,-1,927875,-1,-1,707558,596757,-1,-1,114166,-1,547961,-1,218039,740499,196344,741003,785365,-1,-1,-1,-1,884377,550782,628157,567451,785425,-1,653148,904938,206080,465596,324642,-1,-1,-1,-1,158723,259402,596865,673010,-1,-1,649610,-1,193637,-1,339338,-1,196444,51330,-1,370934,475210,83263,-1,618551,-1,-1,-1,-1,692819,450573,-1,-1,901111,-1,-1,-1,156105,14632,894907,247946,-1,-1,400530,824687,484038,-1,-1,-1,-1,-1,94501,-1,692172,592968,701346,285856,-1,622000,-1,-1,55217,49320,152873,-1,-1,666550,-1,-1,496180,563475,825612,-1,-1,-1,-1,515909,13130,285494,-1,489849,-1,-1,264247,1028,-1,244379,-1,-1,355030,-1,-1,-1,-1,-1,-1,-1,-1,898721,647800,-1,-1,939145,33611,409678,-1,891781,392322,-1,705177,339896,-1,-1,585107,548580,-1,474543,-1,-1,-1,912440,-1,132556,299589,-1,4958,739029,-1,869088,-1,-1,-1,-1,-1,-1,-1,874676,-1,-1,-1,-1,605546,-1,-1,-1,627248,-1,-1,469865,-1,-1,154951,-1,-1,924193,679200,87582,196523,960720,658415,787442,-1,-1,-1,-1,-1,159931,551833,878468,872689,307938,449963,-1,-1,738969,-1,377029,293513,-1,864589,785209,991418,322373,399667,306145,-1,-1,-1,86312,-1,-1,-1,440534,308071,748170,-1,-1,272351,854682,-1,-1,-1,446168,604633,-1,594523,313183,-1,-1,-1,430179,-1,764942,-1,627897,-1,-1,167777,393440,-1,793416,-1,-1,-1,660412,742733,177577,-1,-1,829183,65632,-1,398458,-1,906121,791370,-1,-1,851192,-1,744150,-1,900427,866994,-1,249458,288421,908286,143769,-1,332349,67827,23935,721583,997118,88781,971106,-1,847869,789949,548960,763230,609521,-1,940727,-1,-1,-1,-1,-1,-1,997801,724104,623015,-1,397840,-1,-1,-1,40751,-1,-1,-1,-1,824180,-1,-1,-1,-1,952394,-1,-1,-1,-1,-1,-1,-1,-1,822585,-1,-1,793489,-1,-1,793985,922381,-1,362180,-1,-1,-1,-1,-1,51505,-1,-1,335630,-1,251027,491991,-1,-1,246402,757249,-1,699675,481284,-1,289758,-1,-1,-1,-1,208570,-1,-1,797868,-1,-1,958135,-1,-1,529256,-1,-1,962819,133689,-1,-1,497237,-1,-1,-1,187226,-1,-1,38402,-1,837396,101757,-1,122384,-1,323994,333875,177471,141114,917037,502199,492028,613867,780718,-1,-1,-1,38635,437868,-1,-1,-1,968938,-1,-1,-1,-1,516036,-1,958483,590766,180409,-1,183281,995355,-1,-1,-1,-1,299833,1735,697231,711722,-1,-1,-1,28708,-1,5138,-1,-1,-1,-1,770043,321675,370195,-1,-1,-1,-1,60783,520429,323228,894392,753817,674264,-1,-1,-1,-1,250808,218439,-1,160088,-1,-1,534688,659446,-1,22656,-1,335423,-1,472285,435472,-1,-1,-1,-1,749935,415527,219351,-1,116991,-1,412396,191536,544254,783025,883759,-1,372279,-1,-1,457578,-1,-1,749049,154141,877955,25746,672794,199947,781060,-1,-1,-1,402306,336337,-1,-1,-1,-1,17669,-1,-1,-1,975206,687903,311964,-1,-1,499682,704415,-1,-1,353974,-1,486013,646734,788618,304508,19970,984460,869701,-1,-1,351374,746736,-1,565841,517182,-1,-1,-1,281720,-1,-1,-1,-1,866713,-1,-1,-1,825379,799472,-1,431257,-1,-1,-1,76148,930133,785423,74221,774343,748027,-1,-1,-1,4914,-1,826547,42636,-1,797280,-1,-1,-1,-1,779468,-1,-1,-1,-1,263738,-1,-1,569068,113526,274827,229298,483702,699519,972798,573365,-1,-1,-1,873212,-1,-1,-1,382733,-1,933251,494347,-1,-1,931033,-1,306523,510945,-1,-1,789012,-1,794887,927872,-1,-1,345947,-1,811808,356391,637641,-1,103040,-1,788895,-1,-1,631314,-1,126892,-1,-1,-1,-1,-1,149235,377799,549847,764786,10188,325654,-1,-1,-1,-1,202780,-1,-1,-1,713150,846231,395269,-1,-1,-1,144656,857881,283181,270006,492978,-1,-1,-1,67556,584139,435655,-1,762386,957452,94951,961252,60635,-1,-1,-1,-1,673463,-1,-1,925858,930997,-1,-1,-1,-1,-1,-1,-1,-1,-1,523569,665609,-1,161747,571544,337813,-1,-1,507837,-1,286632,210082,-1,680006,-1,191139,904037,-1,589537,391837,-1,586154,-1,114339,-1,-1,604329,-1,-1,-1,-1,774079,-1,-1,875364,592457,-1,-1,-1,70533,204012,-1,512557,183699,-1,-1,184739,-1,928123,776036,-1,-1,569655,-1,707483,16812,252436,-1,882311,503633,-1,446990,-1,-1,256597,650708,61848,-1,315220,-1,-1,-1,-1,947477,-1,820183,900340,61179,500858,378583,-1,975167,465112,910078,-1,367990,-1,676534,-1,-1,472041,-1,-1,267046,-1,-1,897322,-1,-1,-1,421339,928004,-1,-1,-1,31395,-1,-1,388448,559539,-1,-1,-1,951211,829762,593470,-1,661847,-1,-1,-1,-1,290014,-1,952192,704578,-1,-1,266330,-1,908616,827090,309199,23105,796801,-1,-1,-1,-1,811145,871255,214201,-1,308039,-1,419834,-1,41488,354789,-1,168160,48784,-1,-1,899501,803925,877969,-1,-1,-1,935244,-1,252145,-1,283499,-1,586068,817583,235672,-1,-1,-1,-1,632449,678318,-1,360940,71790,976605,838989,792770,490145,239290,-1,-1,675957,-1,-1,-1,-1,197453,350371,993927,733457,915519,-1,879785,-1,257829,-1,380080,101703,678690,779041,316595,976380,-1,450444,-1,529001,-1,7781,-1,286175,175256,-1,48416,870667,-1,66024,521979,-1,583747,-1,250151,-1,889313,433669,-1,800856,-1,378758,996459,873712,-1,-1,-1,626987,945741,-1,146557,527356,809533,-1,28148,-1,650192,689311,-1,875659,-1,781908,257967,493466,653868,717777,448417,600151,-1,-1,-1,-1,747128,772459,541745,-1,737284,-1,765743,25064,641921,-1,716760,700174,-1,-1,-1,315720,993046,954071,583104,9805,-1,-1,139663,-1,-1,28739,-1,386635,-1,956269,935779,-1,-1,-1,890739,413317,-1,-1,709078,643312,-1,565780,-1,-1,-1,645919,125981,766607,-1,643036,-1,403021,594690,-1,642098,-1,-1,32803,76694,-1,249108,-1,909444,-1,-1,-1,-1,-1,784487,-1,194789,-1,-1,868564,709792,503820,-1,-1,721688,990244,173325,-1,258340,477277,-1,623056,426423,-1,-1,443579,-1,360164,-1,976775,902554,-1,270721,-1,-1,899152,217195,818420,950711,706486,321142,-1,-1,-1,-1,-1,-1,-1,567576,-1,-1,214710,-1,507583,-1,626506,160498,-1,-1,632563,-1,317024,14465,26784,754999,582983,793713,-1,-1,215167,866747,-1,-1,-1,-1,-1,905476,546792,661369,200358,675222,156426,-1,191606,551298,-1,-1,-1,-1,242894,73526,-1,981845,-1,488947,-1,810366,-1,-1,300158,63395,452057,-1,816119,-1,-1,263988,-1,606880,109649,-1,-1,903217,-1,-1,-1,750136,-1,25857,-1,-1,-1,-1,-1,342551,209063,-1,-1,46554,-1,75041,923660,397523,522469,212523,499140,356814,70280,378687,-1,-1,839641,961326,839079,-1,168817,-1,830333,427942,-1,394181,-1,-1,994506,-1,208194,-1,-1,790036,-1,66993,-1,-1,-1,363897,102557,972240,994296,767590,-1,250752,-1,645392,917234,-1,155532,-1,-1,565483,-1,248466,253998,-1,-1,746349,-1,270239,583749,-1,591121,434553,765602,-1,196906,566582,911069,-1,-1,380410,-1,-1,-1,-1,513180,-1,784358,-1,385033,297568,287173,-1,425395,-1,-1,450134,458981,706525,536697,-1,808401,-1,-1,-1,-1,83886,536919,-1,-1,-1,-1,481096,-1,691313,227323,-1,547055,-1,58378,-1,263420,-1,-1,-1,-1,-1,-1,731260,-1,-1,-1,-1,124230,-1,-1,-1,-1,-1,-1,200625,-1,182723,235927,-1,998598,514530,700291,846886,-1,-1,-1,-1,35059,-1,782646,-1,-1,252101,789790,-1,956482,830796,728888,591776,-1,-1,-1,-1,-1,-1,-1,732455,-1,92438,-1,-1,-1,-1,184388,470372,771407,-1,-1,691811,778267,914036,-1,153992,803459,-1,751616,514925,-1,-1,-1,643626,-1,-1,-1,405257,121862,-1,343669,476206,-1,274128,536663,993539,-1,700336,-1,-1,-1,731264,872897,-1,42535,-1,-1,-1,-1,-1,-1,196207,-1,456485,-1,-1,-1,69603,-1,-1,864420,-1,853332,479806,9450,-1,457975,209196,-1,33587,6952,670747,-1,352068,400644,-1,-1,261764,-1,703919,737971,910667,-1,-1,-1,140607,-1,339210,128313,-1,336747,-1,808086,26025,-1,-1,-1,-1,-1,726456,173809,-1,624306,-1,-1,-1,-1,-1,-1,117595,919635,-1,-1,-1,-1,795533,-1,-1,335126,-1,640371,381462,-1,875151,-1,-1,728515,-1,-1,302761,935585,-1,777704,239953,-1,521689,-1,-1,573986,757366,-1,590278,706961,-1,719405,-1,287452,885391,-1,-1,591654,-1,397571,-1,-1,-1,-1,-1,-1,453186,-1,-1,751871,-1,-1,979984,-1,959433,635278,-1,-1,585700,-1,741558,29023,-1,-1,-1,82027,-1,825662,560696,-1,-1,494840,-1,55758,-1,-1,836400,456637,-1,899316,708726,-1,-1,-1,-1,439272,818702,727096,-1,654205,157585,-1,-1,-1,225111,427062,-1,449275,765667,-1,934310,509500,543963,464192,826604,142718,918858,-1,-1,866908,-1,391985,349281,332509,839298,-1,964459,-1,-1,684703,477658,-1,440981,-1,-1,-1,775111,688979,-1,-1,-1,-1,-1,-1,-1,265913,122138,841748,228387,947603,-1,605485,-1,-1,733157,-1,803343,-1,831359,790005,600497,749111,652223,739887,768067,678248,-1,658270,655487,-1,-1,-1,-1,998918,83022,-1,-1,517415,-1,205288,-1,-1,785337,840140,-1,17269,-1,-1,-1,506658,227109,-1,171593,732639,779000,-1,-1,763496,34678,-1,-1,-1,-1,-1,300243,436117,3845,-1,-1,65119,787650,44638,-1,-1,-1,53353,-1,-1,957460,595556,-1,472017,657276,-1,911326,-1,-1,-1,-1,-1,624283,172189,-1,-1,-1,-1,210370,-1,803100,-1,-1,42942,-1,113051,-1,618888,392418,-1,963017,-1,-1,-1,-1,725082,-1,471053,-1,-1,-1,-1,-1,-1,451557,484467,-1,730113,482634,122668,384169,591978,-1,112291,857311,-1,315698,465971,-1,311498,232190,658689,154195,281219,-1,-1,228259,14265,-1,250489,13395,421958,28397,708671,-1,455791,450126,196536,894994,708164,195828,-1,-1,562294,327465,-1,670081,-1,680491,135858,354596,-1,-1,-1,-1,372762,53867,438078,-1,-1,-1,-1,-1,-1,158295,-1,993132,-1,325390,-1,419336,136170,-1,88453,-1,-1,-1,-1,921147,-1,158219,-1,-1,708949,960062,-1,33576,601727,-1,-1,-1,396070,628817,-1,-1,-1,-1,308573,698064,48777,-1,289628,-1,604484,654587,344659,-1,901135,462087,262234,250432,440418,-1,457074,-1,774421,902253,-1,-1,982967,-1,-1,-1,-1,-1,-1,-1,436109,166819,275109,-1,-1,-1,978864,526951,-1,-1,-1,599115,129287,107755,757385,-1,908263,-1,-1,625301,145783,451278,-1,-1,-1,174226,188326,466375,478270,53858,-1,-1,-1,-1,414013,-1,-1,-1,693550,-1,101946,-1,-1,-1,-1,387623,-1,306959,581528,138998,496565,734641,-1,866028,-1,-1,-1,620711,227691,603259,-1,96752,-1,-1,-1,-1,-1,970274,-1,-1,866474,-1,-1,65522,361917,-1,-1,357454,587136,-1,-1,-1,-1,88711,739410,-1,358312,367973,725896,-1,-1,806644,-1,-1,-1,820338,434863,-1,-1,317968,-1,443348,-1,322690,-1,351989,128327,766164,378299,719544,327838,538981,25755,389450,1938,613776,97448,936868,325984,-1,-1,511467,624386,-1,-1,989072,-1,343062,-1,-1,-1,431571,427303,758117,963040,-1,151137,-1,-1,-1,-1,243920,-1,-1,-1,-1,-1,-1,-1,547390,-1,-1,-1,70936,915275,544146,359894,-1,549795,47787,-1,-1,387240,754682,746616,-1,44723,454464,295998,282192,-1,959165,-1,-1,-1,931101,362547,871089,-1,-1,-1,873990,-1,-1,-1,92281,-1,-1,-1,704514,-1,87706,-1,-1,-1,378843,983861,105458,657121,283985,-1,319674,478115,934283,651885,534489,-1,-1,-1,55941,-1,-1,-1,-1,-1,-1,843174,993949,403841,418961,97588,-1,-1,-1,973262,-1,-1,758257,71735,-1,196868,962978,-1,380155,-1,-1,145237,-1,-1,494046,-1,-1,33939,899069,-1,-1,975821,236617,290671,-1,-1,-1,940714,-1,-1,-1,-1,-1,-1,649653,-1,111255,134064,-1,873186,-1,508393,-1,-1,-1,249149,741218,514331,-1,-1,-1,410852,303056,948044,-1,841947,-1,-1,277139,-1,350835,-1,-1,-1,-1,527203,-1,846161,394550,-1,-1,885967,-1,56121,378135,195301,-1,419858,-1,216005,-1,253384,688968,-1,541709,851910,95342,-1,-1,-1,-1,288939,465107,-1,328948,-1,-1,-1,384745,823682,148628,204669,-1,-1,-1,589885,-1,530862,962324,-1,-1,-1,929541,409523,4051,-1,-1,-1,702480,-1,-1,661667,166964,869283,118547,-1,-1,-1,-1,667331,-1,-1,955053,787927,895590,554259,-1,454046,62728,23412,-1,947647,-1,-1,539639,-1,9346,-1,452211,-1,633163,-1,31466,332610,510412,-1,587246,-1,-1,-1,-1,798458,923601,-1,98566,-1,-1,617274,853,-1,-1,480419,494248,-1,318943,-1,-1,-1,343620,-1,493881,673519,-1,-1,27066,-1,-1,-1,329678,155037,279647,-1,866165,-1,150880,846719,631985,196877,868852,714866,902168,-1,965711,-1,-1,860782,-1,559647,519394,302796,678215,845373,-1,-1,266530,-1,-1,-1,31005,424086,-1,-1,160084,940745,861478,-1,67129,-1,570923,-1,-1,-1,649481,262742,154068,-1,157030,742780,-1,-1,-1,-1,-1,930099,768428,-1,-1,270675,-1,-1,364912,-1,-1,987772,-1,-1,-1,-1,-1,-1,-1,-1,-1,218487,535059,132605,-1,962570,221598,95230,359861,531658,61531,929739,70302,-1,-1,-1,934909,-1,-1,913670,32267,-1,891618,-1,885173,-1,105244,-1,40623,558303,87485,-1,291756,177232,-1,-1,243711,-1,708506,751191,481580,332062,292376,-1,830704,506571,-1,445724,40041,-1,-1,767116,-1,264976,383559,263477,-1,-1,-1,133773,924053,321685,284723,-1,-1,-1,425904,993071,867975,598117,252240,577069,-1,461767,-1,-1,-1,-1,801204,-1,898641,-1,623557,682584,-1,145892,380517,-1,453514,-1,125992,-1,832518,236955,299965,265684,-1,-1,-1,60384,-1,-1,794014,84940,-1,-1,-1,737598,313374,-1,284525,710377,-1,33230,664637,125154,439412,162830,51889,-1,-1,185675,-1,860206,-1,444114,-1,-1,-1,700987,805294,-1,-1,425674,272256,-1,-1,116352,930770,-1,285735,703629,-1,653278,375309,-1,-1,-1,538717,-1,380276,79542,23842,583421,189679,-1,550882,657246,-1,854946,539405,-1,89616,492992,307749,7103,-1,232495,860433,692381,960565,-1,-1,189144,-1,771816,900839,-1,654998,951904,-1,-1,-1,-1,448301,-1,-1,-1,847928,949048,-1,-1,-1,305977,873233,600250,53511,-1,326949,-1,210139,-1,-1,804220,-1,509388,-1,980753,-1,-1,-1,-1,-1,939689,-1,233094,-1,-1,-1,460834,-1,-1,-1,626782,801373,525412,-1,-1,264903,273025,172072,-1,-1,-1,322671,-1,506080,-1,721274,463721,376615,28455,601884,-1,-1,-1,931493,559576,698228,-1,350491,-1,-1,-1,-1,-1,-1,565450,303367,-1,639235,369748,929913,-1,333662,-1,253906,861330,-1,529519,965937,719048,-1,524597,-1,-1,771478,749148,-1,-1,966225,342499,-1,462642,9,934448,698188,601782,913165,427913,327548,-1,724567,-1,-1,-1,-1,40930,788568,-1,-1,-1,-1,295705,736017,-1,187567,213459,-1,520796,-1,-1,-1,40282,-1,21192,779256,-1,72922,-1,195612,-1,-1,945987,597818,-1,225595,-1,414298,-1,782722,833918,520831,-1,762594,-1,638971,-1,390130,613874,444483,717984,-1,198019,101292,601410,977651,-1,57260,191689,412423,-1,834364,342054,984216,290919,446444,-1,-1,966788,-1,588148,265234,-1,958215,288474,802558,976652,-1,519031,-1,-1,188990,-1,-1,306506,-1,-1,563680,-1,210987,-1,365600,-1,-1,929883,141969,-1,-1,-1,-1,105099,-1,836269,-1,-1,861740,-1,-1,483709,-1,-1,236640,-1,915988,27018,272152,333897,472352,127350,-1,149627,-1,940108,-1,-1,142771,-1,771370,845476,-1,903137,-1,-1,921046,816555,78745,462105,939796,557849,312565,335390,-1,260587,-1,-1,931349,-1,-1,877819,-1,48917,-1,-1,315809,-1,-1,546127,942090,892973,133856,-1,137909,-1,-1,-1,-1,-1,-1,964739,-1,450114,258760,195620,-1,-1,-1,-1,-1,985881,395729,709015,-1,-1,-1,666325,951896,676377,122125,734068,-1,-1,496841,399865,-1,-1,-1,466930,-1,-1,-1,-1,-1,-1,171544,-1,-1,497805,940338,-1,-1,-1,230261,-1,414052,101031,326317,-1,-1,93409,-1,-1,410088,861973,858608,-1,42947,-1,478861,832155,-1,-1,957985,476832,-1,-1,-1,599042,514538,11424,600338,789767,324188,77751,67267,116481,205148,-1,-1,-1,-1,369602,-1,760838,241732,354489,-1,-1,-1,114591,741001,164731,-1,-1,-1,-1,-1,-1,-1,237810,-1,701671,648171,60731,707296,-1,-1,48959,195420,123006,-1,-1,-1,294912,457545,-1,743559,507399,26512,179383,859733,689762,-1,-1,-1,-1,-1,217179,412148,-1,-1,-1,933185,167121,224884,414971,-1,939507,-1,204627,-1,209105,103687,498363,801476,-1,657643,-1,510977,-1,44871,592969,-1,687897,249682,-1,-1,334242,-1,582094,167969,-1,-1,459992,152019,466674,-1,-1,-1,-1,392793,-1,166422,595644,-1,-1,-1,987663,-1,643880,824744,134655,-1,124229,-1,583363,758083,-1,958118,-1,269010,-1,-1,579156,-1,263821,449315,690998,691457,-1,508757,95300,-1,725539,-1,749062,346562,476452,-1,265303,-1,-1,-1,-1,-1,-1,308414,372818,918642,-1,769760,-1,780402,-1,-1,334244,924624,825870,917375,535259,-1,-1,604187,-1,132966,354990,162497,461789,408896,-1,659957,-1,213838,619099,417645,731779,-1,114978,-1,-1,-1,360974,78534,-1,321093,-1,-1,-1,-1,-1,-1,674081,-1,751995,-1,979720,114931,768647,-1,491768,-1,-1,237419,-1,-1,932242,553674,93280,-1,787066,359478,168070,-1,195671,51819,400629,920937,-1,-1,457329,-1,604998,215876,600430,704745,672275,895329,-1,865786,152743,-1,-1,782541,653019,806960,-1,483895,211584,469437,345743,632257,422049,-1,729175,-1,211363,-1,68656,-1,188793,16068,-1,166276,959149,-1,-1,-1,765353,72153,546743,-1,234039,924057,375789,-1,199180,-1,-1,-1,-1,402248,599222,584263,386178,-1,-1,-1,513347,-1,413804,-1,-1,-1,316552,-1,-1,-1,15726,595058,489601,958936,641710,-1,-1,-1,312298,223562,349954,413796,-1,-1,-1,-1,837257,-1,393030,-1,-1,744366,-1,589824,292613,-1,310075,-1,521627,157937,-1,-1,-1,-1,-1,45062,-1,-1,341723,-1,-1,-1,5262,-1,797749,-1,192628,-1,-1,-1,246240,436107,-1,-1,393479,707704,607902,61784,945198,301324,313050,683427,-1,210828,-1,917376,507749,-1,758054,610230,-1,419963,-1,455744,-1,919947,-1,450953,622409,64863,-1,664529,819362,-1,-1,164358,-1,219239,809669,997187,690885,679110,-1,-1,-1,830416,-1,-1,341758,-1,99861,-1,240092,-1,-1,821803,-1,-1,344119,-1,-1,823197,-1,-1,170637,206111,147450,-1,-1,-1,783576,54148,701266,-1,-1,-1,-1,-1,-1,-1,652096,784227,184006,155977,-1,747708,-1,157058,462666,-1,-1,152757,-1,39633,848662,-1,-1,-1,-1,865201,-1,-1,-1,590675,662637,358781,671376,183764,-1,545532,511484,401378,270743,-1,326298,-1,863988,759573,6099,-1,-1,210319,586371,443854,573378,-1,-1,-1,29957,-1,422926,62269,185644,-1,-1,595636,-1,-1,568208,-1,4643,638717,-1,965841,-1,-1,-1,343291,345256,-1,347444,-1,912002,-1,-1,116971,-1,-1,263496,274293,756806,412688,22998,-1,-1,-1,-1,449082,-1,488421,-1,964300,372436,529022,-1,-1,-1,357658,-1,-1,-1,42830,-1,-1,-1,-1,545090,570186,-1,-1,-1,439319,-1,-1,-1,186649,526590,-1,-1,901203,-1,876444,-1,983844,-1,-1,514303,-1,298407,766263,-1,696615,-1,445965,-1,75247,437098,683143,-1,87875,904470,873950,992902,955638,690767,-1,66378,-1,420355,418773,763213,630576,-1,571031,-1,-1,401831,585748,-1,-1,-1,910880,-1,479426,-1,971558,184182,714606,-1,-1,378971,697195,-1,-1,448214,-1,51123,-1,-1,956612,814066,916333,-1,465072,742404,168978,-1,-1,893951,-1,-1,948137,-1,-1,101452,-1,764907,-1,-1,937526,513248,669682,755982,123860,503500,557778,544170,637165,226960,361880,-1,-1,-1,230087,-1,368118,-1,746958,67933,-1,-1,320992,909074,-1,845044,751829,855958,194622,-1,66047,-1,82674,-1,293570,385088,-1,-1,-1,-1,823463,-1,-1,348683,-1,671828,986281,-1,-1,-1,861982,123547,-1,-1,-1,-1,-1,-1,555046,-1,-1,-1,-1,158531,-1,-1,-1,386784,-1,-1,46218,-1,-1,393396,-1,112722,-1,-1,979980,387539,678813,180723,697286,-1,723988,-1,277052,172714,-1,-1,-1,-1,200807,-1,416636,530449,-1,-1,541413,938180,-1,888682,927391,-1,600571,900982,648320,-1,-1,772545,-1,-1,-1,789500,-1,718562,686399,-1,187112,682811,658518,-1,742690,960701,-1,-1,-1,20412,-1,242089,-1,-1,-1,241933,891503,-1,-1,329159,898916,-1,-1,365904,-1,553633,949488,789032,197198,-1,359587,-1,284120,731935,181179,939249,-1,425213,932030,933897,643738,-1,-1,-1,-1,-1,257706,-1,30271,821619,883934,601638,-1,85336,-1,490800,662072,-1,387930,-1,-1,676502,35856,726521,-1,-1,417472,-1,735160,118316,-1,478071,-1,113582,-1,200334,-1,-1,220604,854774,-1,-1,57173,307725,-1,-1,-1,-1,-1,-1,683139,615236,924380,382593,812808,-1,-1,-1,717000,333819,894975,-1,-1,-1,178049,243539,67699,-1,-1,-1,-1,521745,-1,-1,-1,-1,836419,912663,117757,237584,517929,-1,-1,80905,596665,-1,117380,-1,413996,-1,-1,-1,712203,468008,-1,573443,584350,-1,171381,100656,450332,-1,-1,826242,968824,872218,793267,-1,231552,-1,814713,-1,-1,660661,-1,-1,-1,84074,-1,-1,691151,970512,-1,148015,-1,-1,-1,213907,373453,145696,-1,-1,-1,467602,805835,705310,-1,-1,510835,-1,366362,-1,41794,865070,-1,991266,169945,-1,673976,-1,536413,-1,-1,-1,-1,404364,-1,147315,-1,645785,208228,-1,184847,-1,-1,-1,129195,55124,555302,-1,886909,200217,300481,-1,-1,-1,60454,380576,905642,696848,-1,428121,-1,-1,-1,829821,364844,710633,-1,-1,861565,553294,747119,432782,17541,584884,-1,211568,932447,315371,991506,114378,-1,724556,98487,861655,458016,-1,802948,-1,318057,687346,99182,596035,362098,676027,410832,268171,45064,394689,24692,742879,-1,-1,-1,-1,322783,769082,173987,-1,730971,-1,269095,-1,-1,-1,397628,-1,-1,902882,621652,776654,773448,-1,-1,108968,-1,948232,-1,528632,-1,483940,998855,208991,142693,812326,463,590692,951070,106577,-1,-1,894609,-1,694204,-1,524303,-1,-1,421681,164966,686949,-1,671464,-1,-1,408755,547977,26481,-1,955166,-1,389543,-1,145008,-1,-1,-1,-1,334886,-1,56762,485372,-1,-1,667947,-1,405081,113179,-1,765217,793303,-1,-1,823091,-1,-1,98279,-1,141966,171365,801726,-1,-1,-1,-1,-1,-1,-1,427268,403116,-1,16214,-1,-1,-1,688452,-1,713492,-1,694417,525108,433661,-1,-1,330412,602867,-1,-1,-1,-1,-1,305068,456911,-1,609667,28045,252205,94717,915759,337508,-1,-1,-1,-1,178464,-1,89021,715002,737729,-1,-1,-1,-1,816960,464669,-1,382523,-1,-1,-1,372328,-1,-1,663564,-1,-1,-1,843764,-1,300639,-1,-1,-1,907349,306660,-1,-1,-1,625742,-1,-1,25772,-1,242662,-1,945772,187559,-1,-1,-1,-1,223140,-1,-1,-1,-1,-1,-1,377821,900866,-1,633128,-1,-1,-1,88765,959888,82965,-1,-1,429870,-1,-1,-1,999908,893920,333378,-1,699849,-1,608529,579309,146269,-1,-1,762344,-1,173406,-1,-1,-1,943435,-1,-1,-1,-1,-1,-1,882053,450047,-1,429530,-1,-1,662603,316407,7044,-1,-1,493085,-1,-1,-1,-1,-1,-1,197399,813939,-1,-1,665148,918734,-1,407654,728298,-1,-1,-1,-1,619523,249778,-1,-1,-1,652387,-1,-1,-1,682851,-1,-1,497650,-1,-1,693154,180655,404208,-1,37485,479093,621154,522814,-1,828727,74314,-1,412121,712654,-1,-1,-1,623483,935653,661653,328882,-1,645669,209674,188204,-1,-1,-1,-1,239400,-1,944557,-1,-1,46323,-1,433118,834468,-1,-1,162674,-1,753326,-1,394427,-1,5390,832856,804609,572359,434540,-1,80193,964632,558949,567283,-1,-1,-1,842916,-1,-1,-1,955589,-1,-1,-1,-1,-1,116279,-1,396656,902351,220055,-1,570819,-1,76032,-1,-1,671162,735580,929365,-1,-1,261352,839747,-1,-1,-1,-1,-1,391766,-1,-1,-1,829888,108482,68091,-1,-1,996722,-1,664174,-1,661749,-1,-1,-1,644243,22597,-1,-1,-1,-1,871694,607765,38008,-1,543007,951790,-1,-1,799971,581463,-1,332462,599515,-1,-1,-1,425347,475280,-1,224587,436112,375568,529340,962405,-1,-1,-1,-1,-1,124684,-1,-1,709462,-1,-1,235988,-1,-1,947368,878739,-1,377576,-1,779982,-1,741506,-1,933881,48958,62661,-1,-1,-1,771933,-1,292094,-1,-1,-1,97031,286886,-1,561205,404465,773785,-1,789576,671659,867930,219247,677131,364587,244510,-1,88234,535646,939414,140785,-1,951764,-1,740224,390105,-1,-1,-1,-1,592196,-1,588977,-1,994485,-1,-1,-1,799818,893273,677972,472808,-1,493106,95795,276615,280616,35593,930377,886538,-1,34478,691893,-1,902452,788737,-1,-1,-1,437986,803761,-1,-1,888007,-1,-1,-1,829488,-1,655122,-1,48042,-1,443794,852881,-1,529527,993444,-1,-1,-1,-1,-1,-1,-1,-1,272327,709267,109797,-1,-1,860499,-1,-1,598909,512613,112323,269457,-1,675215,345213,261788,624328,-1,930863,915410,-1,406713,504155,-1,-1,880667,-1,-1,-1,-1,291265,-1,353458,692277,-1,-1,-1,-1,-1,709985,15879,-1,883062,89706,-1,-1,-1,-1,107988,92523,-1,241233,-1,918267,466709,-1,-1,-1,-1,-1,-1,-1,-1,525694,-1,-1,307774,422691,223344,450343,-1,-1,29198,907115,600643,223825,188288,673651,328903,-1,-1,-1,393243,-1,675284,-1,431497,597487,588842,-1,-1,966707,-1,-1,411822,-1,-1,349669,33081,-1,928941,-1,278757,-1,175324,-1,44607,608064,-1,2064,-1,728485,500525,-1,688382,-1,-1,-1,888575,529785,-1,-1,206034,155978,-1,-1,932217,-1,-1,936692,775605,-1,584439,-1,632603,927693,-1,-1,-1,-1,651626,-1,-1,-1,552526,900509,803628,-1,155589,-1,-1,-1,-1,-1,-1,890438,-1,626531,400341,-1,204163,-1,768254,795024,411954,116606,452092,-1,-1,-1,-1,437531,560741,-1,-1,-1,237662,735917,-1,-1,721791,327245,-1,-1,-1,533024,-1,796427,-1,-1,-1,354583,-1,-1,634723,-1,-1,-1,-1,-1,775116,824583,681889,-1,661621,-1,447993,-1,-1,591803,961152,861596,267485,-1,-1,564365,670897,151301,-1,-1,-1,16285,-1,370656,-1,-1,41390,-1,-1,639861,28039,860466,94893,-1,560377,-1,-1,-1,570259,492621,484550,172270,-1,-1,426810,-1,250264,-1,14567,-1,429278,442180,626411,-1,-1,88694,884159,480953,924823,-1,8326,-1,-1,-1,-1,-1,929314,105030,367801,-1,-1,-1,955112,539592,-1,114464,254051,-1,622741,399266,351348,382913,-1,702903,-1,-1,-1,968067,-1,745693,350465,-1,-1,225314,477137,-1,-1,217018,-1,750087,-1,595677,214262,483162,80079,687846,485819,501445,651566,164105,310535,-1,-1,300969,831871,408058,180605,-1,42227,-1,-1,-1,267980,528617,-1,439812,-1,-1,670958,-1,-1,-1,-1,397908,49162,405112,-1,116020,983364,249373,80644,-1,177934,-1,-1,544248,-1,30909,398025,-1,-1,13786,243307,583983,468867,-1,258591,665736,954428,-1,-1,793201,673498,715474,399763,954836,90451,322592,-1,-1,801666,879996,-1,-1,762512,94969,-1,-1,-1,-1,274252,38541,-1,-1,257046,559733,-1,-1,1443,916854,-1,347543,-1,470965,617525,623111,-1,927944,94593,890337,778834,-1,-1,-1,148210,-1,766598,774842,189423,-1,-1,-1,293351,-1,-1,-1,-1,423181,120076,965936,-1,-1,792017,666024,-1,-1,-1,195138,717863,813116,-1,367671,54373,230580,-1,-1,-1,-1,988802,-1,483627,-1,763940,628105,163966,-1,373893,-1,-1,-1,342941,741054,-1,-1,-1,306800,-1,-1,-1,357497,-1,754278,724664,-1,145040,-1,-1,-1,-1,699930,654072,-1,292495,698731,896661,344986,-1,342861,-1,-1,685893,927101,349933,576810,-1,144548,-1,-1,237686,-1,242840,424558,998071,-1,27797,212190,-1,690898,-1,865604,-1,-1,-1,-1,235455,327486,167703,-1,-1,-1,-1,-1,48196,636827,596427,339137,-1,472572,222923,-1,986004,703950,510723,-1,350076,-1,-1,-1,99796,-1,499933,639375,-1,944771,-1,-1,896931,-1,587763,699172,458788,-1,-1,-1,680484,-1,74577,600652,-1,-1,583921,986643,340094,-1,453282,-1,339617,-1,282938,-1,-1,-1,63128,330139,-1,87344,579000,814609,174267,475670,-1,930065,510583,-1,855044,883315,874176,296038,987153,-1,842135,-1,-1,-1,919167,-1,-1,-1,-1,517232,-1,-1,-1,31068,-1,974530,-1,744402,-1,-1,59936,-1,-1,479841,-1,25509,93822,-1,-1,-1,-1,-1,219664,-1,414789,-1,-1,-1,-1,894552,348202,-1,741568,960040,-1,51533,-1,-1,-1,946043,-1,-1,724774,-1,871462,789462,379079,-1,-1,-1,321480,-1,685626,-1,-1,333949,918294,189435,-1,961269,-1,793790,-1,-1,-1,-1,-1,166701,-1,-1,157469,586020,-1,-1,-1,762967,600207,-1,22647,165046,43488,981062,-1,154816,895543,-1,164272,422774,-1,-1,996145,945579,-1,-1,-1,-1,-1,-1,-1,204553,623438,790448,687647,-1,71287,16364,-1,209396,-1,397295,-1,556052,-1,-1,-1,-1,854504,742216,-1,-1,149713,290053,923208,-1,-1,959731,-1,-1,-1,925252,683892,-1,-1,-1,493326,879130,543248,-1,997791,-1,-1,736312,-1,969383,399619,-1,237684,-1,-1,-1,-1,56106,-1,731257,647458,711272,-1,-1,186207,593475,-1,658660,157646,774098,-1,-1,510975,-1,708723,-1,837041,196714,671353,198557,-1,420661,-1,344776,-1,-1,679393,419229,-1,-1,209,-1,710296,-1,887687,972952,325036,188654,-1,119987,379332,-1,-1,318888,-1,289955,-1,-1,601031,-1,990687,-1,425354,427437,373961,-1,217047,2730,442222,981224,-1,-1,-1,-1,597443,-1,459759,-1,-1,241313,347761,-1,-1,525526,-1,180839,-1,45242,-1,-1,-1,-1,233888,910987,297369,-1,462292,-1,296336,467564,459628,-1,-1,649442,-1,448224,796278,892578,363969,144304,-1,-1,828730,209965,648581,-1,183373,-1,954266,832371,723235,-1,-1,675766,-1,-1,-1,-1,177119,816180,744929,-1,871744,-1,-1,-1,-1,-1,403321,270736,340375,-1,596147,450321,-1,-1,830545,-1,754784,-1,513439,777018,-1,986556,-1,-1,-1,-1,-1,979837,-1,537469,-1,24224,-1,844149,469246,845772,-1,683096,58140,-1,-1,-1,-1,-1,231842,79462,-1,-1,139722,-1,-1,-1,358272,-1,848789,-1,-1,421500,850560,-1,479072,39047,777178,397432,-1,-1,72511,713548,-1,-1,-1,-1,886668,-1,759432,342671,687052,270386,-1,-1,-1,221461,-1,-1,-1,613318,-1,757925,-1,242491,382489,-1,668198,-1,353096,-1,34715,-1,276787,663812,-1,874552,-1,12703,-1,878333,-1,409266,-1,-1,624564,-1,-1,175893,202610,-1,-1,-1,-1,522292,-1,-1,-1,805909,406256,717103,-1,-1,283280,274438,-1,671789,522637,-1,-1,817293,185907,-1,846859,-1,-1,692899,-1,-1,-1,-1,926007,-1,86782,321204,-1,527629,-1,465185,917206,-1,408028,-1,-1,-1,-1,683319,215285,692891,316296,886680,-1,621631,-1,803946,915608,377368,-1,-1,-1,828115,-1,-1,916294,-1,319468,-1,953371,-1,-1,-1,838259,438797,846822,-1,444188,-1,-1,-1,-1,-1,777376,-1,-1,-1,-1,211585,-1,352545,586989,819197,-1,-1,869269,392852,-1,-1,732176,578938,412016,118102,676980,313662,388568,-1,95756,-1,-1,993503,578851,710430,-1,828088,-1,206829,-1,-1,-1,-1,349585,480024,-1,-1,-1,-1,-1,60442,569707,-1,-1,202193,40347,-1,-1,-1,-1,283369,-1,-1,218454,205225,-1,-1,818874,330771,390681,627463,-1,-1,-1,-1,-1,-1,193961,697447,362744,-1,-1,858482,725486,56389,536694,510076,-1,-1,-1,221014,-1,-1,502109,695127,-1,788394,237919,-1,216847,-1,-1,785944,-1,626497,-1,-1,-1,760059,913175,83813,-1,586141,-1,662785,487737,777957,991374,-1,715426,254626,251877,745898,310734,-1,-1,689188,111822,592769,-1,-1,231402,-1,-1,243420,715223,371695,-1,621859,-1,-1,-1,187636,-1,-1,-1,133189,265565,100802,195928,-1,65413,477032,-1,316626,-1,-1,-1,902341,-1,-1,-1,941074,-1,-1,-1,685184,-1,-1,8862,560922,712199,-1,-1,911924,-1,-1,395457,-1,739096,884447,277743,572397,-1,-1,-1,-1,353674,359424,-1,-1,109897,994405,-1,-1,915913,-1,838654,-1,-1,-1,-1,773873,-1,-1,-1,851887,675975,390910,-1,728145,-1,-1,-1,-1,869369,-1,-1,-1,709499,-1,-1,852929,125087,-1,605743,-1,403566,-1,909850,-1,-1,591595,-1,17949,493860,531977,-1,-1,847128,-1,-1,870021,989098,-1,-1,343999,25721,-1,740778,164400,-1,921977,-1,531539,-1,979846,-1,-1,-1,175662,-1,-1,248322,519719,-1,-1,-1,163635,712057,604779,-1,-1,820699,701657,634488,599156,442971,996001,181458,-1,-1,575281,249307,-1,-1,947285,-1,-1,-1,-1,-1,482894,-1,-1,714956,914847,498875,30873,669007,-1,371849,-1,849819,-1,789205,317887,817255,501037,-1,187245,-1,587422,-1,129838,-1,768621,-1,-1,-1,-1,-1,-1,-1,735577,379766,-1,76200,80647,400763,-1,-1,-1,-1,-1,607590,-1,566572,-1,560376,-1,-1,709052,-1,-1,715826,645127,-1,-1,545832,201955,-1,-1,-1,226086,354259,964257,997844,-1,939252,-1,209386,879379,834528,315103,-1,-1,825043,729207,-1,879676,-1,77559,-1,-1,-1,-1,-1,986827,-1,-1,859450,797887,-1,279532,803843,-1,340538,-1,-1,881208,124571,773159,-1,-1,-1,660239,162994,268550,654978,-1,-1,-1,-1,104443,383278,84802,-1,149807,322077,471432,754117,3954,318632,617555,94876,-1,265692,512198,-1,656073,911074,354727,-1,-1,-1,344778,120270,688599,-1,207324,-1,432989,848351,601434,-1,613641,81653,706912,544553,-1,485981,171537,562092,35089,-1,837187,-1,400126,133077,-1,-1,688241,240574,-1,-1,-1,985798,553704,-1,-1,-1,-1,135447,567476,-1,-1,-1,980559,961215,-1,-1,-1,357695,210236,822261,725197,-1,-1,261922,-1,158881,635220,585230,19818,886768,-1,-1,213156,-1,-1,101719,63104,972840,-1,-1,794628,-1,332554,-1,-1,-1,-1,-1,989327,192972,136954,-1,953580,-1,-1,-1,800511,587901,-1,-1,-1,445097,823832,817240,402478,87739,315969,-1,-1,718942,-1,216548,265796,-1,-1,-1,-1,176284,-1,-1,975829,-1,725546,-1,953675,975739,-1,-1,834973,-1,367590,-1,704484,391832,-1,-1,544742,-1,-1,799106,-1,121605,-1,-1,-1,581,-1,-1,-1,490558,150869,264603,961793,-1,713917,-1,529884,-1,-1,304453,-1,501107,-1,533668,701666,915859,124368,230002,142972,92186,-1,914907,-1,-1,-1,168740,471509,-1,98120,791648,605104,-1,-1,-1,-1,-1,574686,-1,200501,-1,-1,-1,-1,-1,835219,521467,-1,706033,676072,-1,467586,-1,-1,-1,-1,-1,584528,943654,353941,417886,-1,342707,618424,315204,-1,618696,-1,-1,218017,-1,-1,-1,-1,232701,-1,-1,-1,175470,-1,-1,860299,-1,258216,972007,136865,-1,-1,381201,5037,-1,6569,-1,-1,704019,217322,-1,426384,362232,-1,-1,438294,84873,-1,-1,-1,-1,-1,-1,528178,528691,-1,723377,-1,-1,2945,-1,-1,-1,-1,-1,-1,194632,-1,-1,181867,871348,-1,697202,-1,-1,500297,-1,57942,-1,144671,-1,713161,644160,819572,626407,890936,543678,-1,883497,-1,-1,648961,104018,-1,-1,-1,-1,-1,853973,313649,431567,621017,-1,478588,-1,-1,-1,-1,34066,827462,549981,876604,-1,718398,-1,-1,255000,-1,-1,634559,596695,-1,-1,-1,726573,-1,-1,191004,227359,652752,351470,-1,605331,-1,-1,-1,-1,-1,-1,-1,-1,145950,-1,297185,-1,-1,734885,-1,830643,-1,-1,-1,610866,-1,647825,-1,623351,681185,383759,-1,-1,509301,155345,366183,652202,832302,661199,732665,-1,-1,-1,-1,-1,-1,435152,454702,679313,-1,-1,-1,-1,958043,-1,-1,84154,414838,944599,238052,182932,-1,-1,36713,-1,-1,705816,37775,486528,-1,645289,-1,242015,-1,893686,-1,338339,-1,-1,68154,-1,672087,-1,349892,5038,516861,-1,-1,-1,686649,279966,-1,189184,-1,-1,65671,423952,569659,957711,869075,285986,-1,-1,-1,-1,887786,-1,971693,-1,-1,757318,-1,55593,-1,268609,790552,-1,-1,555792,-1,-1,-1,362717,-1,802793,-1,664401,15409,-1,-1,-1,480845,-1,521923,930409,-1,475027,749167,-1,-1,782903,-1,-1,-1,246282,357226,955367,456318,143793,-1,-1,-1,674286,-1,-1,-1,-1,19657,497100,206951,975227,-1,-1,726213,-1,399776,905466,217266,577202,877454,318527,-1,-1,-1,390080,651650,-1,47461,132168,752296,-1,-1,-1,-1,477490,-1,-1,-1,448861,648854,-1,148772,-1,924993,-1,-1,127877,607416,503610,-1,285835,191490,644981,-1,-1,601831,932921,417122,970971,-1,-1,-1,790953,-1,-1,-1,-1,-1,-1,-1,-1,517516,-1,-1,-1,-1,1636,733709,-1,-1,705314,661659,264393,-1,879077,-1,142265,-1,86168,80760,-1,-1,-1,-1,-1,892842,-1,-1,761558,-1,-1,-1,-1,481843,481104,793515,379160,-1,931071,-1,601841,-1,584617,885671,-1,404585,-1,-1,38316,-1,-1,271872,224126,-1,330545,-1,976899,-1,933580,468874,714104,803200,607811,-1,-1,777538,950578,-1,-1,-1,165497,723062,893694,594803,262752,-1,-1,-1,-1,905776,-1,-1,-1,929635,-1,-1,-1,-1,-1,-1,221181,231493,962730,781341,-1,-1,209092,-1,808073,488578,-1,-1,245938,251535,-1,721035,713364,-1,-1,-1,517249,-1,456986,111450,15565,-1,-1,632264,-1,429283,534386,190912,18891,-1,-1,-1,-1,106575,397546,906231,448507,142391,282838,898797,-1,-1,-1,226769,757450,92953,-1,922383,-1,298108,-1,-1,-1,-1,471171,-1,-1,-1,478971,-1,643749,726747,-1,-1,-1,933672,557144,471064,-1,449258,-1,-1,-1,-1,592799,181304,659275,903738,-1,793780,217460,342523,-1,490386,-1,-1,-1,955478,-1,-1,305056,562749,-1,138335,-1,-1,540726,368460,992934,-1,908842,-1,-1,-1,568511,482236,-1,326073,-1,-1,66643,798325,993017,834412,995942,911111,62786,-1,355717,-1,-1,58774,621644,-1,-1,247575,-1,-1,418754,550244,699291,-1,801318,-1,-1,144889,-1,-1,60335,-1,-1,-1,-1,603448,-1,-1,952976,875927,-1,588617,-1,589982,97605,714446,197073,-1,298813,934206,-1,-1,-1,-1,828024,586548,452269,118750,697082,536192,210062,811389,-1,216419,-1,-1,283654,-1,129894,-1,488113,624343,-1,30556,367249,-1,410290,968286,-1,-1,837004,508034,-1,-1,-1,868366,-1,-1,-1,-1,-1,-1,314053,971372,-1,-1,276510,-1,-1,815869,743755,-1,-1,-1,-1,-1,42110,-1,867327,788577,-1,625559,-1,-1,-1,560499,498677,-1,701287,952000,423867,920826,191291,363547,-1,-1,-1,-1,-1,165087,40242,-1,809949,758785,15712,-1,203415,887349,731885,-1,820744,-1,-1,186348,604378,-1,363765,-1,-1,121643,-1,-1,-1,218810,-1,-1,334257,-1,982474,-1,913248,803104,-1,-1,211722,736150,-1,668181,316809,-1,217120,-1,-1,35104,-1,959086,-1,-1,-1,377353,62853,-1,235011,738896,-1,783634,183990,208187,-1,572162,-1,800837,701079,-1,656157,950329,-1,68501,-1,471793,-1,455339,-1,-1,-1,-1,31898,-1,849575,174155,-1,-1,863992,837293,-1,442808,-1,23497,-1,325444,682098,-1,965341,625910,546446,-1,549639,619553,-1,570783,480651,876631,573186,374565,-1,-1,-1,328510,-1,687020,608413,-1,780904,268513,-1,-1,-1,405830,-1,857526,-1,513489,-1,339980,730496,-1,-1,573765,-1,-1,-1,967289,642299,-1,-1,387234,-1,722362,-1,-1,-1,-1,32962,-1,-1,943765,471322,-1,-1,928617,74477,-1,795633,-1,-1,994123,21901,-1,-1,-1,-1,-1,555667,732534,921787,906469,-1,959237,-1,-1,-1,879958,790575,-1,334553,-1,-1,565984,-1,-1,-1,336071,623737,-1,-1,680064,448300,434387,-1,-1,831996,-1,-1,-1,725949,208017,-1,254911,-1,-1,-1,-1,-1,-1,7026,388470,-1,-1,394154,284680,-1,-1,-1,-1,235804,-1,-1,481238,399939,104889,-1,61217,94518,-1,89567,438805,300731,-1,-1,310389,-1,-1,283211,-1,-1,171601,409418,57711,821949,996585,10795,572995,-1,484371,-1,-1,696695,938042,-1,-1,-1,792310,987883,-1,495741,-1,725411,-1,-1,-1,82069,663914,580915,-1,-1,-1,-1,730037,-1,854155,575846,814141,876956,967996,-1,-1,-1,-1,-1,-1,196996,901910,449234,308493,-1,-1,14969,767121,103194,-1,-1,772425,4327,-1,-1,843617,-1,-1,31151,-1,-1,-1,-1,340442,91777,43605,-1,-1,-1,-1,689591,-1,245372,-1,992900,368833,640251,-1,905899,-1,126077,253285,-1,-1,-1,-1,52262,273934,666402,-1,-1,387927,168146,-1,-1,-1,-1,724068,-1,-1,568361,-1,-1,-1,620917,185278,-1,212435,121037,-1,-1,455938,504790,-1,530498,181001,-1,8780,-1,-1,-1,-1,-1,-1,-1,481924,137078,518075,-1,767426,270302,160672,-1,229505,380830,654369,-1,-1,971495,280125,849271,356314,233655,697576,-1,-1,-1,-1,846586,-1,-1,398966,81207,-1,-1,301946,-1,361412,-1,-1,524315,89891,-1,929326,-1,-1,-1,-1,-1,710257,220647,-1,-1,-1,-1,579564,119256,-1,206575,-1,-1,283425,-1,-1,475691,-1,616953,-1,921685,599510,619631,-1,590558,-1,-1,-1,-1,267331,693389,-1,170239,471472,291516,-1,293402,-1,22607,-1,237991,59583,-1,53642,-1,955867,107464,257746,-1,-1,-1,465667,-1,458567,153583,130886,257381,-1,237583,19985,-1,-1,288665,-1,-1,-1,168481,-1,517324,429818,-1,-1,702329,-1,-1,-1,-1,-1,-1,-1,-1,309785,22422,-1,-1,-1,380382,183305,290175,-1,423936,-1,675749,538829,-1,625170,-1,782372,859619,406361,-1,-1,-1,944688,-1,-1,247809,329113,-1,312424,-1,77924,-1,-1,55578,442733,865334,216888,768824,40290,-1,-1,-1,125520,-1,792112,-1,64902,-1,705262,145492,670760,-1,-1,-1,170246,-1,226214,-1,-1,983864,825076,356048,69620,-1,294268,-1,360151,-1,24923,-1,-1,279466,-1,-1,-1,-1,142144,-1,629431,-1,-1,34961,-1,486374,901609,199648,769722,824310,832997,31049,602335,461167,-1,936866,-1,-1,-1,934224,-1,-1,-1,-1,892224,179367,-1,-1,837177,-1,-1,302309,-1,-1,-1,-1,-1,310421,-1,-1,-1,196651,-1,-1,751488,321531,-1,20885,-1,342376,-1,-1,-1,525192,22634,-1,453676,-1,-1,-1,184440,427755,438037,-1,-1,474006,259043,-1,-1,-1,-1,-1,-1,236659,-1,-1,138208,-1,-1,-1,147768,-1,307505,-1,481587,-1,-1,566047,555998,-1,-1,-1,-1,980683,877249,-1,-1,-1,-1,-1,-1,-1,422648,470580,-1,-1,843011,-1,989083,-1,617603,-1,672306,56455,-1,-1,707405,-1,260227,151696,627068,-1,-1,71132,794718,580482,384133,-1,-1,695520,193762,502675,-1,567224,155656,-1,167623,-1,265608,-1,-1,129099,234032,785158,696788,45987,-1,960946,-1,848136,-1,-1,324886,29521,52931,-1,-1,-1,-1,-1,759113,-1,795167,391394,361204,-1,693662,-1,-1,-1,-1,-1,452585,-1,-1,5869,798304,-1,390960,987753,-1,167128,700858,63150,173979,251659,-1,-1,-1,-1,-1,510642,-1,153924,-1,-1,598730,-1,941826,875132,145683,347384,-1,454405,-1,-1,663237,-1,493720,-1,-1,208830,665296,-1,829185,-1,601698,200368,620590,-1,750683,156148,-1,938266,454988,551336,-1,-1,239391,-1,-1,846972,-1,884094,-1,851830,601127,-1,254866,252553,539665,-1,-1,-1,-1,297844,493641,990448,812026,-1,-1,178701,-1,-1,423393,460732,-1,552749,-1,854353,-1,-1,205757,-1,-1,-1,792793,-1,-1,875408,-1,592741,-1,131950,935789,967079,39443,-1,-1,-1,-1,72770,344597,-1,-1,768775,-1,-1,-1,-1,369633,-1,749060,-1,608662,536490,-1,498801,735609,642594,-1,540774,-1,-1,118822,418288,740946,49310,399012,574801,669416,756215,-1,-1,-1,243244,147428,-1,-1,833816,769202,-1,-1,-1,-1,-1,-1,-1,-1,653138,-1,375176,351772,881502,-1,-1,-1,913020,154745,599817,290932,-1,123019,487187,388084,963036,799787,-1,-1,150128,497054,-1,467725,168599,-1,299680,872021,42558,453616,76510,364812,-1,-1,-1,379108,-1,394693,879810,-1,-1,-1,-1,-1,273963,875738,679340,-1,507480,373759,686089,-1,340524,-1,-1,-1,9837,802800,-1,153086,55676,-1,-1,-1,-1,891169,649723,928801,973748,-1,-1,-1,79296,-1,-1,971356,568600,323268,922904,-1,922626,-1,372537,948612,985692,-1,783169,-1,991964,70199,-1,-1,603937,-1,-1,-1,480786,858700,912749,978087,-1,-1,-1,-1,243441,-1,-1,-1,-1,970929,319978,-1,234969,483303,816714,461185,526300,-1,-1,29464,-1,538538,-1,-1,470819,293955,964014,-1,-1,-1,626471,776614,597251,694790,-1,-1,752699,-1,-1,-1,845583,304025,213060,724751,639279,-1,-1,-1,394871,584780,-1,-1,741949,-1,-1,-1,-1,-1,-1,-1,350015,-1,-1,-1,546498,401212,-1,-1,227249,886643,-1,597134,-1,644985,73323,-1,-1,-1,-1,97204,198468,235991,-1,448136,998491,-1,470208,343872,334006,608588,-1,89675,760471,-1,-1,622682,-1,475246,654434,-1,297697,-1,174579,-1,555917,378399,921599,316370,635271,905834,-1,-1,-1,915910,-1,-1,-1,841979,-1,-1,552832,330288,-1,-1,-1,896607,423457,178129,157754,802779,-1,-1,528448,80233,-1,558219,328744,-1,-1,628879,-1,-1,436536,-1,-1,112471,-1,211875,-1,734671,937696,972469,-1,169726,-1,128501,62069,-1,-1,344562,-1,-1,827387,455732,531857,434262,445086,-1,701031,-1,413770,849394,813320,-1,870000,-1,369577,-1,-1,-1,-1,-1,571167,-1,-1,-1,771137,-1,-1,296310,768768,789014,-1,353561,227959,-1,-1,-1,54012,-1,373277,177456,-1,432159,-1,177125,71514,-1,-1,-1,-1,704823,753617,290029,995866,508920,950453,-1,-1,-1,477748,545976,-1,164547,93537,822242,591575,-1,488107,-1,439479,514417,-1,-1,574916,-1,97494,594281,-1,-1,-1,213106,-1,262201,-1,345487,93135,-1,-1,462860,87459,-1,-1,-1,-1,10106,309362,100033,773059,-1,-1,372378,422077,-1,78602,89721,-1,-1,180767,127238,530281,33098,-1,-1,-1,-1,-1,946989,977444,-1,-1,-1,1236,290567,728851,-1,-1,824324,129687,967541,513893,528646,-1,890973,-1,-1,-1,-1,1484,704848,-1,203173,-1,-1,917449,-1,-1,729320,-1,-1,-1,-1,445637,836918,911486,368588,-1,-1,306847,968725,381713,-1,-1,-1,-1,-1,483974,-1,172412,667402,313113,-1,-1,-1,-1,453477,-1,239491,123106,517191,499109,569261,419969,33545,956818,-1,743282,-1,-1,-1,-1,-1,-1,50734,-1,-1,310846,-1,-1,-1,349786,-1,-1,971183,626227,867860,271456,-1,-1,-1,221347,327714,-1,-1,-1,468051,-1,681136,261551,560108,-1,543104,-1,637088,8675,-1,36406,-1,318990,-1,350855,-1,428569,-1,-1,-1,-1,-1,170485,965112,-1,241191,37657,801074,369312,315544,-1,-1,-1,664959,974520,-1,978074,-1,385855,-1,184204,-1,604728,-1,168761,331595,256661,-1,-1,-1,716639,-1,-1,705813,-1,623503,743146,516770,-1,-1,202937,236433,418745,48970,644942,138239,-1,476956,-1,-1,858163,122250,-1,-1,-1,837791,659564,260405,-1,-1,-1,999145,77296,-1,320930,185311,792624,-1,890057,716276,-1,421289,-1,48267,234238,316967,-1,443262,292264,-1,890904,773518,169096,-1,524570,317086,-1,649324,-1,-1,859325,-1,-1,322580,-1,-1,-1,-1,-1,574171,674140,-1,-1,46980,-1,851584,-1,-1,-1,300109,-1,-1,411360,2391,-1,-1,345119,-1,650323,131570,-1,480676,748728,-1,361962,-1,-1,-1,344580,851965,727597,972323,-1,598924,236484,-1,-1,-1,888957,215796,567406,-1,471664,907907,104630,652725,-1,-1,-1,-1,508319,547582,-1,93274,163340,-1,-1,-1,223313,-1,-1,659589,-1,-1,-1,903656,435884,114175,161389,61857,234380,177900,-1,744409,477089,-1,-1,147406,-1,-1,-1,-1,917662,-1,-1,601240,-1,-1,-1,-1,242213,440404,-1,-1,-1,348534,-1,167599,638622,-1,67784,807485,-1,-1,-1,-1,-1,662583,895408,-1,-1,-1,323829,599606,-1,964162,-1,-1,486254,-1,385364,552245,-1,-1,-1,808199,-1,165940,-1,-1,-1,657769,956849,-1,676490,140285,-1,577350,-1,803611,204158,-1,720479,679570,261327,-1,-1,764665,-1,640022,-1,-1,-1,-1,264057,448128,399662,243183,-1,-1,-1,867332,-1,-1,282598,-1,-1,6547,-1,533900,-1,115069,-1,-1,844078,-1,-1,-1,167502,-1,-1,-1,389185,570103,-1,419608,605672,39102,775774,-1,920183,430302,-1,461376,873582,-1,-1,31146,-1,-1,-1,495571,469921,309746,-1,-1,-1,-1,-1,580044,221426,-1,593065,-1,234056,-1,782038,-1,-1,747282,-1,-1,461374,-1,-1,761503,888084,819630,-1,451866,411937,-1,913266,-1,762536,500512,965689,437888,-1,781596,-1,-1,701137,-1,-1,185118,-1,-1,937460,588782,714195,477217,-1,-1,-1,261605,943400,113563,-1,24024,829158,336357,246967,727450,-1,-1,628064,-1,399631,-1,761489,-1,-1,771689,-1,-1,779780,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,293003,4681,-1,419821,257617,127536,136233,218123,456380,979769,656039,-1,690452,-1,-1,-1,795955,631432,-1,-1,-1,217659,804584,678774,-1,-1,-1,-1,-1,861960,853539,294515,-1,407247,143038,-1,982084,288899,-1,36007,-1,79924,350249,-1,-1,-1,-1,320682,-1,-1,402889,-1,-1,210184,-1,877924,450946,-1,-1,574827,688962,490723,626576,462351,192001,-1,268262,169145,111278,-1,-1,-1,942651,-1,-1,-1,924196,853579,409553,412822,797241,-1,536012,836763,74632,675508,-1,-1,218625,611073,108229,573396,-1,-1,-1,528843,798285,-1,-1,171339,671902,663139,-1,-1,-1,-1,-1,-1,-1,-1,946522,516930,479341,833186,-1,468902,-1,898736,624034,-1,926182,-1,-1,389005,320587,358473,-1,921449,-1,-1,-1,491748,-1,-1,-1,313696,72552,-1,-1,947677,679432,72698,409911,-1,-1,-1,-1,-1,-1,-1,-1,775376,896311,467262,-1,-1,391787,440660,871077,-1,-1,604694,-1,949329,535564,184725,-1,-1,898933,987078,-1,618692,11257,-1,-1,-1,85688,-1,309742,-1,413646,359908,-1,-1,763308,-1,-1,249290,-1,315752,922601,-1,609533,-1,602553,-1,483512,-1,287701,-1,512982,-1,736506,479056,203422,287576,-1,-1,144903,127158,956782,-1,43694,228309,927608,419488,503480,-1,-1,-1,-1,426917,-1,-1,-1,587238,-1,-1,-1,-1,766570,-1,198858,236357,508809,-1,-1,322219,-1,100587,-1,32664,356811,622609,-1,299643,207647,400147,-1,35968,584908,910742,869807,698255,799075,316471,-1,-1,587340,-1,36067,730247,676458,800577,89681,-1,-1,389081,-1,281977,40894,-1,699204,325259,524743,-1,-1,-1,-1,873232,310566,171828,-1,-1,-1,48520,468262,793150,653508,-1,-1,-1,5680,-1,-1,476499,-1,493491,430090,-1,-1,-1,-1,-1,539010,550553,-1,862951,-1,268897,-1,-1,397617,478355,-1,-1,246066,884149,-1,307984,64939,315526,-1,-1,-1,-1,-1,-1,-1,-1,930521,-1,-1,-1,-1,636735,-1,392865,534811,127706,-1,-1,128362,-1,781862,707468,467943,589817,-1,-1,190988,828710,599840,849119,524464,938149,-1,-1,262463,-1,984721,476422,526348,-1,542495,841859,-1,747679,-1,-1,476197,458274,-1,760951,148590,-1,856391,543195,222558,-1,525766,216276,743660,71452,263217,-1,205619,288014,817933,-1,-1,489342,695707,-1,614936,-1,-1,-1,-1,378097,70044,-1,301017,-1,130941,-1,-1,717290,162176,-1,779052,-1,509012,10026,240819,323463,-1,-1,-1,926883,134616,-1,-1,-1,222891,33583,665119,498817,-1,590896,-1,155539,217785,204178,-1,-1,183043,688720,-1,379115,-1,-1,-1,-1,-1,557170,441625,135000,-1,-1,575558,801137,-1,210607,214688,33983,-1,-1,-1,-1,-1,-1,-1,590959,-1,254625,963885,-1,208297,-1,614417,-1,172379,-1,205567,980921,-1,165507,-1,890318,-1,337156,-1,481684,890829,-1,879897,-1,-1,774245,391967,-1,873292,711301,657196,-1,989018,-1,456029,197069,-1,-1,-1,-1,-1,-1,386717,920223,104253,-1,-1,-1,-1,-1,201081,-1,-1,245245,-1,817091,711511,-1,114500,13359,950233,-1,-1,-1,-1,9828,914653,-1,-1,316178,5188,-1,-1,46600,-1,-1,42478,54754,-1,487612,876576,556496,553606,209561,-1,-1,-1,-1,661311,-1,-1,-1,682274,6725,596766,589303,85427,-1,-1,982576,-1,-1,-1,831128,734427,-1,89339,330162,-1,-1,302946,237784,23501,204971,924889,-1,388412,426116,-1,-1,-1,564084,-1,411340,-1,-1,230058,800743,449023,641443,-1,397927,-1,81185,-1,352230,-1,-1,-1,-1,-1,-1,-1,-1,85345,282032,138545,-1,-1,478323,-1,131495,-1,-1,-1,230924,-1,-1,560823,-1,-1,-1,169602,-1,-1,-1,91393,378529,67860,-1,-1,467238,832632,35123,946418,-1,-1,814665,534299,326704,-1,682756,947347,600642,-1,640286,919399,-1,-1,-1,-1,837641,257429,131884,379488,135744,775003,170605,223440,269941,-1,265892,173202,853300,-1,530817,309492,-1,119369,554459,579590,-1,-1,-1,-1,385834,-1,-1,-1,756076,-1,349632,-1,643239,-1,464213,-1,-1,616602,-1,-1,-1,-1,-1,413217,-1,-1,375727,-1,121612,679568,526046,-1,-1,-1,421740,531379,-1,-1,-1,-1,157651,19867,-1,-1,-1,-1,282266,92145,-1,-1,-1,-1,-1,-1,-1,-1,577174,-1,762446,15246,-1,-1,-1,-1,-1,417330,745278,573183,366434,684325,832173,206125,324581,880838,-1,-1,968122,222311,-1,167815,-1,226027,-1,-1,877549,25648,-1,158664,-1,491709,234185,383894,-1,-1,-1,-1,319893,191361,-1,-1,938776,126791,-1,570983,-1,-1,-1,282095,692445,519491,-1,998357,19646,-1,270494,296238,-1,-1,-1,-1,-1,-1,-1,-1,375257,958733,74119,16294,-1,274193,174288,694577,-1,158109,-1,205713,411960,733132,-1,225956,608384,-1,-1,354712,-1,-1,134618,-1,300336,163889,-1,428597,165193,-1,16776,-1,-1,-1,-1,-1,588450,-1,186541,475918,-1,64979,-1,-1,-1,-1,-1,-1,-1,777363,-1,-1,939024,25624,452466,848882,118295,-1,-1,-1,923725,525859,-1,489501,323072,170847,781097,676869,61836,892316,723551,950136,174308,543766,-1,-1,-1,-1,86530,324672,-1,163363,122777,-1,-1,462006,770310,213208,-1,195753,577614,-1,510589,789494,725182,-1,-1,695650,128453,856992,-1,662963,648060,-1,631697,-1,-1,-1,-1,-1,734704,316950,59297,194413,336745,-1,119437,-1,-1,-1,-1,92635,15612,-1,-1,547464,578097,593982,909810,-1,108824,356671,-1,-1,232035,-1,822490,79301,-1,-1,-1,-1,573415,-1,322906,-1,-1,814328,304850,-1,573695,52345,-1,-1,12598,-1,237725,420676,-1,-1,888997,-1,930883,850715,262943,-1,944248,-1,810044,594253,-1,-1,-1,-1,555032,-1,-1,807742,258971,787751,95770,601461,-1,459193,17804,-1,-1,216214,548294,-1,668394,214067,969157,-1,579289,965605,-1,-1,424605,-1,-1,-1,406305,384301,-1,-1,-1,-1,523555,954624,805152,-1,96302,-1,-1,-1,684353,613048,-1,196139,720364,188636,654012,911961,-1,244665,655483,-1,395209,68827,-1,32143,590478,-1,-1,277663,405885,-1,-1,-1,-1,-1,99054,861016,-1,-1,922176,400293,787793,871256,221056,836413,-1,-1,-1,406889,812465,-1,196337,-1,-1,898098,-1,-1,-1,-1,135617,322216,123921,-1,782568,870618,-1,370185,208589,173763,-1,-1,-1,987861,-1,-1,753090,464564,-1,-1,229536,927578,171313,-1,-1,-1,-1,-1,-1,995533,-1,-1,59517,719488,812070,-1,700589,162506,588326,335382,-1,-1,-1,-1,206826,122804,-1,-1,546742,415384,532790,676931,678448,196100,824460,668412,916313,750094,-1,946486,-1,408363,-1,279152,-1,516877,-1,-1,352378,-1,231508,441073,-1,563296,-1,738557,942003,-1,-1,-1,-1,-1,508882,123418,-1,213903,169327,-1,447057,395532,-1,623119,-1,892429,-1,-1,250726,611452,270831,-1,125407,-1,163381,173648,655923,918076,472145,-1,949461,-1,678469,475910,542895,406162,-1,294130,-1,-1,-1,-1,-1,985718,-1,-1,-1,-1,63438,-1,791155,-1,935850,631120,-1,522026,529259,-1,-1,-1,851949,603996,523876,758610,651142,-1,144663,-1,-1,270646,-1,159748,449566,-1,-1,-1,-1,988107,-1,-1,-1,-1,-1,216737,-1,-1,-1,-1,13475,932848,-1,-1,312639,-1,-1,-1,13897,-1,-1,743655,-1,211682,493652,417707,260770,-1,52275,-1,929401,-1,549397,223579,164043,483224,146731,697867,-1,948283,-1,-1,297386,-1,439601,-1,555691,501758,658096,-1,730188,-1,736897,-1,217809,847202,199738,-1,237308,-1,502734,395564,857077,937143,-1,436950,-1,793683,-1,826158,-1,-1,839156,791857,-1,26879,29510,320981,-1,-1,-1,505864,-1,34175,-1,-1,-1,147542,243923,-1,-1,490669,282673,502245,-1,-1,-1,1482,-1,-1,724639,-1,-1,-1,-1,-1,980530,194718,-1,-1,564753,-1,-1,-1,-1,-1,852202,985142,612195,-1,-1,976242,676757,-1,-1,255614,-1,253859,67949,-1,-1,740536,-1,270841,569729,-1,-1,-1,893134,647002,7489,-1,-1,-1,3587,-1,335607,-1,-1,968770,211168,-1,430071,-1,142791,-1,-1,-1,525679,682022,75092,257535,-1,-1,365064,-1,195881,-1,396598,319181,-1,-1,30731,628029,697597,249132,-1,17093,222769,-1,-1,846766,-1,-1,-1,-1,-1,356954,-1,-1,-1,-1,193378,-1,-1,983054,-1,179660,932630,-1,739177,-1,-1,80551,-1,-1,-1,608304,712439,986971,429557,197166,-1,289412,25335,-1,-1,831275,-1,537600,639128,-1,669297,-1,-1,-1,-1,222114,-1,85280,366197,295356,-1,850890,858260,839374,842096,-1,430513,-1,-1,-1,-1,287178,868877,204891,425645,-1,-1,-1,353118,477335,-1,-1,-1,971845,-1,121947,-1,81449,405017,961484,413346,-1,-1,852443,950700,388553,-1,728624,499559,984664,-1,-1,234954,-1,-1,-1,-1,-1,-1,837909,838044,793442,167946,-1,-1,-1,570355,501849,107571,110455,598235,-1,292661,374922,498176,981629,657056,365638,-1,548395,-1,-1,918548,-1,-1,-1,-1,234687,-1,-1,210690,-1,144333,-1,45267,557752,-1,107941,960685,298057,-1,311667,-1,-1,285264,768717,-1,-1,816291,532611,880860,-1,-1,637509,-1,128075,502329,774781,226958,-1,-1,332468,-1,-1,611805,108829,775048,266297,825702,925399,-1,582014,468451,847179,-1,926086,-1,346778,122607,316336,-1,219261,608836,206233,-1,823910,-1,615258,442509,78325,526507,166043,-1,640548,615372,717399,-1,-1,763788,737385,-1,-1,262625,577541,-1,655890,-1,-1,252188,-1,756598,-1,-1,895072,-1,520143,-1,445446,275255,-1,-1,-1,719558,920822,-1,747037,555251,-1,-1,438225,650932,503694,794088,646836,608539,908128,-1,-1,872290,-1,75413,383460,-1,-1,231919,-1,972464,-1,-1,266432,38928,-1,-1,-1,160113,-1,336769,592501,120303,945750,948268,-1,758245,317566,-1,-1,29,-1,802823,-1,457240,570110,756143,-1,13585,-1,-1,817855,541904,597684,-1,-1,-1,391630,-1,756294,-1,245650,785255,-1,-1,-1,-1,505016,967367,407209,917626,589821,-1,425027,-1,313325,863692,284066,29048,914100,21377,749898,-1,987888,-1,-1,167244,369782,-1,278299,71849,109694,-1,25727,-1,183589,-1,687062,646912,-1,-1,37026,-1,313669,-1,893959,-1,-1,-1,-1,-1,-1,-1,-1,-1,786230,-1,-1,-1,758436,946389,921658,-1,535790,700371,-1,94076,180382,-1,-1,-1,-1,-1,529062,-1,456804,778203,-1,-1,-1,195561,-1,310312,-1,-1,-1,-1,588432,-1,693180,352997,-1,314396,307327,153061,-1,270866,20642,-1,540120,-1,403799,322731,-1,163422,627024,152460,-1,-1,-1,-1,-1,-1,-1,861148,-1,-1,371526,-1,691342,-1,429356,461819,515484,-1,385279,-1,-1,-1,384026,421724,-1,-1,610501,-1,-1,22955,584699,-1,853823,552044,281250,400555,893919,437142,-1,-1,-1,948441,300285,611365,-1,563144,-1,83591,740053,256497,-1,-1,983020,217525,-1,-1,-1,-1,-1,-1,332020,-1,585982,-1,-1,617133,434539,252439,77544,108035,-1,741267,-1,-1,501686,749752,650895,-1,665422,277040,-1,301930,-1,4359,-1,-1,226074,517211,848701,789751,-1,-1,676380,965194,168813,171954,-1,519582,996676,64889,521079,-1,339135,-1,-1,483910,-1,489196,156290,488271,-1,649224,-1,-1,103461,542248,318156,-1,-1,653952,-1,-1,112412,-1,-1,-1,-1,266657,262683,-1,-1,815227,812756,942305,982547,-1,238628,773830,-1,-1,-1,-1,407437,17546,201708,-1,-1,353836,39188,537017,416859,-1,634628,-1,-1,141662,-1,182627,-1,962099,-1,-1,818260,717226,-1,-1,549630,-1,45229,821764,160313,-1,429728,802518,80930,245469,-1,913752,516110,-1,57489,186054,843625,266255,-1,835444,945862,47260,-1,211720,96881,-1,-1,-1,-1,622441,997685,-1,393889,593518,556704,269991,-1,-1,-1,-1,842470,-1,684789,-1,805960,-1,335689,885989,384643,-1,678396,-1,381250,279697,-1,-1,-1,39433,-1,-1,338567,365467,32562,-1,749850,397575,467129,776515,410404,405204,809169,-1,516257,-1,484233,-1,377729,53413,29153,77334,-1,150357,-1,739841,-1,476595,444850,-1,438107,762377,-1,-1,-1,-1,97624,-1,306426,120045,-1,141792,153169,307142,45898,-1,729034,157011,-1,184553,-1,61317,749699,708730,345711,-1,87650,272921,-1,85010,-1,-1,-1,-1,-1,556313,-1,191798,-1,84410,-1,-1,279010,-1,507337,149197,503346,-1,2407,-1,628147,861578,985024,-1,108714,363423,-1,827493,-1,-1,-1,603830,890263,651411,145770,272596,-1,386691,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,993344,489898,323571,73108,664132,400307,173478,-1,-1,943149,140072,691603,-1,-1,-1,-1,550301,894995,-1,574820,-1,-1,-1,-1,820391,-1,295332,-1,566629,-1,245631,648995,345080,-1,-1,-1,-1,-1,857071,471811,-1,-1,-1,173402,-1,768371,821737,105692,638082,-1,220018,-1,-1,-1,-1,-1,-1,-1,539341,-1,972769,697008,476736,-1,524265,39388,-1,221971,-1,67075,309660,142242,-1,660053,826345,427159,666380,411420,-1,-1,-1,-1,-1,776689,-1,75628,-1,-1,653934,820353,-1,972352,219111,480403,36166,622875,918387,759570,768992,-1,496851,911568,663191,-1,-1,453899,-1,-1,-1,-1,390131,-1,803373,-1,998917,-1,304649,578120,-1,800283,853232,433073,-1,-1,-1,-1,-1,-1,741824,652291,724436,-1,-1,-1,-1,-1,137290,736732,385391,-1,334149,573200,-1,600651,-1,567969,-1,638390,-1,-1,-1,474473,254906,194964,326524,-1,872068,807734,934227,671938,-1,17691,522593,-1,-1,-1,-1,757481,-1,-1,-1,328464,946878,-1,-1,274557,-1,-1,-1,613777,-1,352443,-1,-1,908284,758109,-1,-1,-1,-1,-1,157108,-1,-1,-1,828300,449446,-1,88855,601552,862108,562350,919822,685044,64585,53266,-1,864584,301740,119184,-1,-1,777597,-1,494538,-1,341000,-1,993182,-1,-1,671704,245210,369918,-1,377396,503448,835811,247703,-1,-1,-1,-1,-1,521222,-1,737651,364652,-1,474937,-1,-1,998246,-1,243733,-1,-1,291025,761690,69665,270068,492364,-1,-1,66648,-1,-1,174414,-1,-1,-1,146997,428553,907912,-1,-1,30527,600670,-1,115000,-1,152350,-1,686095,898477,-1,655661,941938,-1,416369,465059,-1,-1,95440,-1,227741,537663,-1,-1,-1,436746,-1,227553,903175,680947,-1,515821,-1,444862,-1,-1,-1,472416,-1,228021,-1,500116,-1,-1,-1,-1,-1,-1,595741,-1,666430,-1,448018,-1,297478,-1,-1,-1,-1,845602,794269,954474,206444,962523,-1,697430,-1,-1,-1,-1,-1,-1,-1,707188,-1,574527,-1,833572,-1,317337,-1,135702,-1,492866,-1,415740,230659,404675,-1,-1,983552,-1,984433,-1,182688,262389,-1,925111,-1,-1,-1,-1,856364,658512,335900,-1,342366,70951,-1,274549,447048,-1,243734,-1,-1,502304,949110,772288,-1,-1,-1,-1,342920,-1,705699,514637,-1,415824,-1,-1,439154,566421,540387,-1,547140,568101,-1,698655,468144,-1,-1,-1,529360,305720,951735,378441,-1,419620,181093,-1,521725,150221,835254,-1,891203,876530,386703,629353,904054,-1,609925,130488,-1,498942,875734,-1,-1,217777,428544,-1,-1,-1,264510,-1,-1,-1,-1,-1,135352,992895,6939,425583,-1,84237,670593,-1,-1,-1,-1,-1,680835,-1,98631,-1,907379,-1,-1,858046,-1,-1,-1,-1,-1,152384,-1,797510,885756,503373,-1,-1,553737,13178,-1,-1,-1,-1,-1,-1,-1,217241,643350,80709,-1,219327,-1,360889,-1,767923,-1,671860,-1,229587,-1,298487,13031,858383,937870,-1,-1,523226,746980,-1,-1,-1,966410,388230,376991,-1,947095,897722,543511,465709,877847,-1,-1,977176,-1,190763,148071,-1,350870,-1,251595,-1,65226,-1,114294,-1,99047,503717,-1,405149,549080,675296,863025,492117,606175,-1,954587,-1,160971,564649,37666,-1,565350,731104,185654,187856,-1,51943,849849,-1,349057,-1,-1,676018,-1,160182,794578,295953,-1,39577,966146,-1,-1,-1,-1,363628,449422,-1,438105,-1,594312,-1,-1,-1,822287,-1,947724,828189,-1,368822,-1,-1,-1,-1,183118,-1,-1,501579,-1,366721,-1,225907,-1,980031,178379,475743,676486,498236,849071,380246,755757,990557,-1,-1,-1,-1,273322,476375,-1,573262,-1,-1,-1,-1,-1,621482,-1,14221,786694,803875,-1,268654,894160,-1,940054,-1,-1,-1,-1,-1,928502,397650,-1,-1,-1,-1,201646,-1,143814,-1,542132,596984,625878,364053,-1,-1,-1,463563,583620,605492,857023,-1,771474,-1,198977,897851,962071,475583,285118,820448,-1,461990,-1,562448,953602,522653,-1,-1,246963,-1,-1,-1,-1,-1,740565,495790,712036,-1,-1,321982,479276,-1,358012,-1,823744,-1,-1,724748,-1,721525,843679,93778,-1,734730,184452,938667,863510,-1,735226,292757,213710,-1,-1,-1,287248,-1,853584,766980,-1,826348,15095,-1,-1,908944,-1,-1,-1,18266,413163,-1,-1,111902,-1,30059,860663,-1,395469,-1,-1,170930,48415,-1,-1,967712,380187,910110,612334,-1,-1,255402,636541,-1,-1,-1,799032,-1,-1,298079,654420,576471,-1,-1,-1,56758,224664,-1,-1,-1,-1,946016,304597,432870,306357,-1,-1,-1,-1,-1,-1,-1,513185,-1,-1,29120,328888,126498,-1,-1,-1,873774,179451,273645,-1,374066,789326,-1,-1,-1,-1,-1,819757,115087,928306,83622,309321,518855,974192,-1,555326,-1,660850,-1,473192,439587,499069,163597,599150,-1,-1,623591,-1,32379,-1,-1,-1,-1,-1,709122,-1,755288,450320,-1,-1,-1,-1,-1,-1,433449,442204,152176,-1,181799,-1,-1,789337,295274,556326,62428,-1,135595,-1,-1,-1,281572,848728,-1,676562,953966,-1,-1,-1,565449,178311,583046,-1,-1,-1,-1,163328,-1,-1,471301,-1,-1,283861,-1,-1,75156,-1,-1,-1,-1,-1,-1,919943,-1,-1,945564,729861,-1,919937,-1,705902,923612,797568,-1,958095,109150,-1,-1,14410,987756,-1,-1,-1,-1,-1,71312,-1,683202,-1,-1,750757,892142,-1,-1,-1,-1,-1,393882,252318,-1,671591,991196,-1,933710,-1,889341,-1,136925,-1,595248,-1,-1,92291,128615,-1,944569,-1,-1,-1,-1,-1,-1,722205,272613,-1,690900,361369,-1,-1,-1,-1,955864,-1,766781,-1,675509,-1,421753,94808,934704,88084,257316,390873,-1,-1,811329,956149,-1,-1,582662,-1,891425,157043,-1,398518,-1,-1,960714,130491,-1,692295,-1,250787,794914,-1,-1,929116,344610,634154,95823,-1,-1,363482,-1,450149,303251,818450,-1,904421,-1,-1,144962,595112,-1,-1,311269,557336,109362,732003,129226,-1,-1,-1,68691,243373,-1,-1,-1,231915,353470,346733,396512,-1,-1,609921,-1,764082,-1,-1,869105,555830,-1,403043,-1,-1,82766,-1,-1,-1,890961,-1,18057,409423,385179,-1,654439,788633,176651,-1,965535,-1,-1,-1,-1,804933,701248,-1,-1,-1,584556,-1,-1,-1,232292,-1,761652,125344,223244,439457,353883,678483,961598,-1,446014,108770,-1,-1,702420,259229,-1,-1,411944,342742,100435,849631,-1,906276,-1,-1,-1,-1,357059,-1,-1,-1,146853,917896,350373,-1,-1,360764,852713,-1,266331,-1,-1,-1,-1,-1,-1,-1,338368,659185,-1,988271,200004,-1,520212,-1,-1,12964,634428,196288,-1,-1,933104,-1,-1,-1,-1,-1,-1,-1,99418,-1,-1,-1,392997,684862,-1,-1,273705,355599,-1,71884,-1,-1,-1,703401,-1,194141,220175,849994,-1,-1,-1,-1,43065,250976,265,-1,-1,540998,975323,553332,573580,718481,92226,323754,-1,-1,158061,54447,-1,353069,177693,178962,-1,-1,870282,335739,-1,-1,284685,-1,486088,58079,763647,-1,-1,-1,-1,-1,861095,-1,903312,972644,-1,-1,-1,-1,-1,185697,789085,701614,-1,-1,782419,173949,-1,889230,333424,115367,691920,51301,-1,504554,188115,2195,841311,529372,-1,-1,373110,-1,589244,-1,-1,-1,-1,25653,-1,-1,-1,320219,220234,-1,254117,766308,952259,-1,117940,674737,-1,862066,94616,-1,-1,-1,-1,-1,591265,158849,-1,-1,778743,595968,-1,234764,-1,-1,-1,803527,-1,-1,623002,527474,422327,-1,-1,-1,420413,449789,956229,-1,-1,-1,875150,14734,51602,-1,-1,-1,277882,493895,135724,-1,382316,74299,-1,-1,960559,453760,184035,-1,166347,870043,-1,-1,109958,-1,-1,228454,-1,-1,-1,-1,564284,-1,-1,278247,-1,-1,582073,-1,480777,-1,845771,-1,-1,820718,631869,402553,-1,5495,12971,-1,-1,-1,627930,640210,-1,-1,366457,825810,-1,170444,3266,-1,48874,256186,-1,383040,-1,-1,-1,917332,957461,-1,341160,249558,698205,-1,-1,859351,-1,225827,-1,-1,995761,-1,-1,-1,869211,253778,-1,-1,-1,-1,-1,105317,627647,-1,-1,-1,-1,892774,963522,435289,-1,481376,-1,226814,782245,-1,-1,-1,885853,-1,-1,-1,-1,482315,-1,-1,-1,373707,-1,-1,965944,-1,-1,-1,807177,-1,472598,495192,66710,-1,984645,184623,224517,-1,-1,-1,658855,-1,208225,-1,747862,210092,-1,768619,440931,429749,328741,110917,-1,-1,-1,454597,-1,-1,250656,-1,-1,-1,114656,-1,-1,985932,-1,654253,-1,524100,998960,-1,-1,321118,230350,522776,-1,-1,437311,-1,-1,226172,-1,440832,-1,-1,819737,-1,481041,-1,262313,7281,-1,-1,416176,-1,-1,54242,327593,-1,-1,-1,-1,428160,-1,268682,-1,-1,92086,-1,-1,-1,-1,126640,-1,-1,468074,-1,613591,-1,680288,-1,-1,638285,-1,-1,-1,-1,-1,981169,-1,997542,-1,-1,299403,-1,438145,53053,334040,9440,-1,-1,369815,131300,434138,-1,-1,-1,138690,-1,261692,-1,935290,321987,385567,-1,-1,-1,-1,972947,-1,966245,523053,-1,-1,-1,212259,148257,-1,846296,-1,-1,-1,652360,-1,330323,647007,-1,291990,-1,-1,-1,93308,881985,396443,175696,-1,735614,-1,911750,310898,-1,698192,74820,-1,254316,-1,380575,599862,-1,-1,595348,512116,-1,476688,-1,-1,-1,744665,626605,-1,360404,-1,325923,975478,-1,194920,174559,148180,-1,-1,-1,-1,-1,525010,-1,129864,-1,491642,-1,52413,-1,-1,-1,-1,558224,54827,988926,200039,153023,524951,-1,414756,-1,992743,21427,215420,158709,426015,997473,-1,52595,693885,-1,-1,349503,-1,-1,-1,-1,907053,569951,619465,-1,898324,-1,422826,-1,-1,808212,-1,308119,970877,93369,-1,-1,570680,160757,-1,-1,442476,-1,665156,308109,484014,569437,-1,-1,647943,-1,-1,-1,-1,415902,-1,131028,551418,-1,-1,-1,692181,70725,423036,396893,934435,41835,682794,-1,-1,149329,73550,-1,-1,151833,479720,-1,-1,77317,-1,225453,-1,410764,24709,-1,-1,-1,-1,406998,537670,671450,182846,-1,43998,734840,-1,-1,398759,-1,-1,444046,-1,791242,-1,347935,-1,-1,-1,-1,403497,870031,7359,207749,-1,-1,-1,-1,86006,762436,-1,-1,431559,-1,254150,409828,383752,-1,-1,496058,283647,553511,970754,-1,591376,227707,710955,-1,-1,489817,205386,724386,548253,-1,-1,-1,191992,564541,-1,-1,-1,997179,486782,805814,581231,-1,-1,-1,798525,-1,716878,418525,173115,-1,945501,575552,726708,438661,-1,-1,92170,-1,-1,147702,61827,-1,508532,622586,-1,621354,957012,787044,-1,454523,-1,-1,-1,768226,122374,-1,811236,-1,290705,-1,-1,819381,-1,335388,99302,-1,-1,-1,-1,-1,-1,-1,342809,-1,720162,116081,978328,-1,329821,-1,-1,-1,-1,-1,-1,-1,-1,38822,115699,-1,-1,432076,215705,14979,-1,7492,81691,-1,640722,-1,247844,868103,-1,660675,455042,904124,-1,-1,-1,-1,560157,-1,360431,-1,-1,63739,-1,-1,348830,-1,-1,88239,-1,563537,239685,446926,-1,28196,481454,194940,467634,891996,-1,868051,404899,139567,687187,957165,-1,-1,-1,159047,-1,-1,-1,498220,-1,-1,-1,-1,164729,-1,-1,-1,-1,457478,997965,807922,860818,792866,944122,-1,-1,832902,313104,-1,570648,-1,-1,-1,-1,-1,-1,-1,460400,-1,313528,742476,-1,-1,-1,-1,255397,-1,-1,-1,-1,-1,-1,-1,383075,537743,-1,-1,308378,-1,-1,819103,-1,-1,410384,-1,421226,-1,-1,513253,132817,-1,-1,-1,949463,-1,183302,-1,-1,-1,12879,384111,552653,-1,-1,-1,113495,-1,-1,861892,505469,-1,223854,-1,-1,-1,-1,-1,159853,632158,-1,-1,866895,-1,-1,711259,-1,-1,-1,-1,-1,-1,-1,153604,-1,-1,-1,-1,203827,-1,-1,53439,891734,-1,-1,-1,-1,-1,137246,755353,-1,273240,-1,-1,-1,-1,-1,568220,644872,-1,557934,150874,434264,-1,-1,641648,233353,-1,321265,-1,-1,-1,924317,539742,912441,-1,-1,-1,-1,-1,-1,-1,724005,-1,612722,-1,-1,95181,-1,-1,756911,-1,927378,910181,-1,-1,-1,249326,247096,-1,402304,-1,-1,-1,331412,700468,235108,627080,-1,605050,545141,-1,-1,370350,-1,292211,-1,-1,-1,846419,521304,422801,249962,544346,468204,49262,838272,-1,41545,-1,-1,-1,-1,-1,159318,435537,-1,-1,-1,-1,206201,-1,-1,-1,-1,61145,-1,882677,248106,-1,963848,11787,136115,944452,-1,799508,492338,-1,988207,-1,615285,-1,-1,226349,-1,-1,951564,281505,-1,292354,825684,471698,-1,-1,-1,-1,-1,50616,-1,273879,790293,751474,676041,-1,62828,622671,-1,-1,770901,-1,-1,-1,761144,64137,-1,-1,-1,-1,-1,-1,-1,928639,29902,933364,-1,241596,670763,-1,507470,-1,439121,-1,147856,-1,-1,550816,894244,-1,-1,-1,713660,-1,63130,-1,-1,-1,166213,578326,422931,891505,-1,473764,27008,326416,-1,-1,442762,647494,30865,477630,170354,-1,-1,886902,632006,-1,-1,-1,-1,425338,-1,665615,-1,-1,669392,-1,832907,-1,-1,-1,182306,551021,95475,404038,-1,237002,971241,-1,-1,418951,720946,-1,-1,-1,-1,-1,286117,176506,62645,58778,665573,607369,20950,276380,494655,684460,78180,-1,-1,-1,-1,928106,-1,188271,68563,-1,-1,-1,242284,285927,735541,-1,342000,251754,728462,-1,-1,162425,665505,249364,-1,-1,414745,-1,938751,316059,-1,143878,306948,-1,-1,636402,-1,-1,507730,-1,206770,552199,-1,515882,-1,-1,-1,171624,652518,431242,512300,-1,-1,796709,603829,-1,467410,-1,-1,973811,50062,522194,-1,-1,-1,745033,-1,-1,52892,-1,629723,-1,719398,-1,189287,-1,368959,-1,-1,844878,422606,-1,-1,-1,-1,-1,705357,-1,-1,641417,481666,224980,-1,-1,586248,591764,-1,-1,-1,-1,-1,-1,663241,990587,674868,-1,-1,901755,236035,-1,-1,265950,-1,-1,-1,252389,718425,-1,-1,607347,191434,-1,-1,387715,831309,-1,-1,-1,559860,-1,-1,-1,-1,782061,148934,-1,6057,-1,-1,-1,40362,-1,-1,233597,588799,712701,-1,352878,-1,249879,-1,526620,737386,835353,-1,333591,444013,713676,-1,871409,697864,436760,-1,-1,-1,-1,919183,360644,-1,-1,-1,-1,-1,665960,-1,97086,635717,-1,863787,-1,188162,-1,-1,391450,469956,-1,-1,437719,-1,30918,595479,862677,-1,337536,-1,-1,282845,428922,-1,-1,597875,95680,478915,880637,782379,-1,484333,-1,945468,-1,273225,-1,897003,832330,-1,-1,762529,930361,-1,912551,214254,869901,380050,-1,-1,-1,45223,-1,167889,-1,590334,787234,877746,-1,217423,708407,-1,-1,-1,295650,-1,12741,458211,-1,-1,774950,694541,-1,772493,384887,581913,-1,-1,-1,-1,-1,-1,-1,-1,29671,-1,224145,853312,-1,-1,817194,-1,-1,-1,890695,968144,441046,-1,49873,44096,-1,-1,-1,-1,-1,-1,484426,3180,710658,-1,-1,844590,873568,-1,947822,509168,-1,438114,-1,782255,-1,-1,44231,-1,-1,-1,640225,-1,132219,491293,462238,220833,-1,911799,911220,13539,992775,-1,-1,-1,70353,-1,464023,739408,-1,598983,546166,442541,-1,-1,-1,-1,-1,-1,3989,121840,-1,-1,543292,975348,-1,165099,863541,394915,-1,860599,544549,306318,-1,-1,290447,68111,576616,-1,927739,984307,-1,846842,71720,794325,381343,292825,-1,732954,980033,-1,-1,-1,-1,551805,-1,-1,-1,499824,-1,-1,40890,-1,683037,412930,-1,330376,624516,398525,313641,597788,436159,-1,191979,719738,700456,523285,854732,-1,-1,200950,-1,-1,-1,-1,-1,-1,-1,299568,100642,47343,119489,645051,123182,-1,304497,-1,-1,-1,12999,-1,616799,-1,382467,-1,-1,962865,764149,-1,671291,-1,46586,64154,414525,-1,377522,836995,848450,329277,-1,-1,992606,-1,877781,-1,-1,-1,803654,508280,-1,497796,56780,-1,-1,-1,-1,811435,-1,-1,133959,657169,-1,851357,691327,840001,498894,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,493387,119007,-1,-1,554139,-1,-1,-1,-1,936008,-1,701003,-1,-1,-1,-1,-1,-1,731478,111891,-1,300705,-1,434104,-1,107931,-1,-1,-1,965537,126164,171506,-1,-1,-1,-1,968168,560625,561919,-1,621982,-1,-1,292646,-1,-1,639707,471224,856161,-1,716381,-1,550220,-1,-1,259311,626333,-1,-1,49918,-1,-1,-1,334033,-1,661049,247790,539056,-1,651605,945665,754525,641724,466746,111844,117923,-1,619636,948158,-1,628516,-1,-1,-1,-1,-1,-1,-1,106794,-1,384330,-1,-1,-1,539827,-1,-1,-1,635066,434728,-1,-1,-1,-1,433108,-1,-1,-1,-1,-1,324046,-1,-1,301742,763232,583935,134826,130344,334019,957621,-1,304217,512663,607806,649390,-1,-1,897767,-1,863443,-1,871492,400549,-1,-1,873657,880426,-1,-1,191326,613410,-1,817142,-1,-1,-1,469704,-1,-1,-1,-1,-1,227776,-1,437441,630507,356478,-1,17010,-1,194541,874337,414262,-1,49931,252775,846002,-1,325223,611059,-1,-1,-1,353986,-1,930800,-1,-1,764943,-1,528191,-1,-1,878544,788644,-1,39614,-1,-1,390770,-1,-1,-1,-1,429314,427534,-1,-1,639090,103010,-1,-1,-1,153499,-1,-1,616283,-1,352817,-1,-1,779866,-1,7957,-1,-1,-1,135127,-1,-1,500192,-1,888721,842718,592411,405101,-1,-1,618554,-1,-1,941738,-1,-1,-1,-1,558116,-1,986819,-1,508477,-1,273359,-1,825579,-1,-1,-1,-1,-1,-1,-1,-1,-1,534434,-1,-1,-1,-1,-1,980414,-1,-1,-1,-1,-1,-1,-1,763582,963862,-1,560239,291596,200144,-1,116683,503027,729318,-1,-1,-1,-1,835165,836576,-1,-1,-1,944988,-1,542398,847285,-1,778159,992186,671380,667662,-1,-1,396341,-1,-1,-1,634809,-1,-1,655076,-1,-1,736843,-1,560492,-1,-1,-1,-1,20791,126060,-1,-1,413659,165358,106418,-1,880559,-1,435934,-1,895133,991008,-1,408486,694617,850852,913826,-1,-1,-1,881797,188579,-1,-1,982874,-1,80429,739572,959724,-1,-1,-1,983070,821961,620118,284804,-1,236804,-1,381381,214486,-1,-1,964740,760588,-1,244856,308796,-1,486548,429397,-1,528046,687906,-1,-1,-1,12956,-1,-1,226717,787857,-1,395397,616188,-1,42100,447491,578013,793504,-1,-1,507197,-1,91532,591983,-1,-1,-1,737579,131311,-1,540535,-1,-1,464292,979648,-1,-1,-1,-1,828160,162400,-1,-1,-1,175682,-1,-1,-1,-1,-1,-1,940903,-1,-1,551473,717118,-1,-1,-1,-1,-1,-1,842907,-1,631232,116318,-1,-1,668901,248730,32094,-1,-1,-1,-1,468701,289211,179853,-1,-1,815716,-1,591814,-1,966654,-1,-1,761162,-1,-1,393735,-1,325230,276093,-1,126189,21262,835023,-1,-1,665958,-1,866539,-1,-1,-1,268791,-1,-1,-1,760782,-1,919845,594297,-1,379596,-1,-1,-1,-1,-1,-1,908056,747613,-1,-1,-1,22750,-1,-1,14504,-1,-1,-1,-1,262623,-1,-1,629574,368420,183472,-1,239843,-1,982497,219192,33365,810036,125618,232293,494959,-1,-1,-1,572712,561908,477707,475722,866233,-1,-1,-1,20355,338246,-1,-1,374790,736793,725391,789067,-1,160798,-1,-1,-1,217083,121089,-1,-1,-1,-1,526176,334839,315354,573576,323987,70369,-1,172711,963253,-1,-1,619014,-1,739173,498407,-1,-1,825824,-1,316381,931880,-1,-1,-1,-1,353688,-1,931973,860323,830034,171317,-1,-1,238197,-1,59909,-1,347204,-1,739623,553139,-1,310012,926796,-1,-1,121254,-1,-1,-1,8102,-1,222351,-1,267552,-1,680205,-1,-1,394486,962878,429565,999261,92579,-1,553692,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,798109,257387,-1,191204,664258,918507,655766,216520,-1,477484,8766,-1,-1,-1,196159,647261,-1,-1,-1,552589,-1,-1,942710,212926,524370,-1,-1,114771,-1,-1,857339,579818,-1,-1,125684,-1,-1,94705,-1,596511,-1,603846,-1,-1,543998,-1,-1,29858,803818,690086,873716,346279,134191,629944,626714,-1,-1,839665,-1,-1,-1,343647,-1,88628,-1,-1,-1,177257,-1,-1,-1,842844,650973,377477,-1,235532,471208,68323,-1,486372,605208,-1,537629,388462,-1,-1,936791,-1,-1,997503,-1,-1,419958,502504,949258,-1,-1,-1,-1,-1,51536,666660,853731,73102,-1,-1,-1,661389,22302,-1,-1,228946,-1,846367,-1,-1,-1,761829,-1,-1,-1,771005,-1,-1,-1,-1,-1,963004,-1,-1,-1,941976,-1,642376,585929,858918,-1,-1,90611,237585,-1,235794,217557,-1,641733,583672,-1,-1,-1,-1,-1,842779,-1,-1,261946,485296,-1,-1,-1,401039,-1,-1,309010,938634,567149,233036,-1,-1,-1,870877,945148,662162,-1,-1,-1,-1,890088,-1,489315,-1,925089,312968,416273,922129,51930,-1,-1,500278,625508,-1,-1,-1,2300,-1,783219,-1,897397,308061,947384,-1,-1,440002,-1,-1,411181,-1,-1,500443,467575,654270,817658,569412,-1,854834,-1,707426,-1,305727,329689,806895,355471,-1,658517,982579,223369,-1,-1,-1,-1,414877,482520,-1,368778,-1,106499,562470,59794,-1,-1,210146,151257,800831,983451,-1,991306,-1,-1,768397,341885,-1,-1,-1,854623,13367,-1,695065,-1,889905,-1,358798,238005,793334,54633,756342,-1,-1,-1,-1,549327,-1,846458,116385,171734,309192,824210,644137,302744,-1,535160,452322,419554,859755,986097,-1,696981,266156,205993,303848,546278,-1,679231,976622,748494,-1,-1,899535,-1,14191,338515,-1,757815,-1,-1,-1,-1,-1,-1,-1,-1,-1,294122,-1,294955,-1,-1,-1,358679,610628,-1,700140,135120,226164,394225,618119,-1,94874,-1,-1,-1,-1,-1,-1,-1,626957,583339,447576,395585,611958,-1,-1,754935,348987,-1,55844,401345,-1,-1,923042,747835,-1,-1,-1,-1,-1,67440,-1,-1,714112,-1,-1,200322,-1,214206,-1,-1,419063,691048,844527,-1,421425,647198,-1,339631,376631,-1,-1,-1,640650,38980,661633,-1,-1,853980,262099,662031,-1,-1,-1,-1,-1,256245,-1,-1,433248,-1,-1,106756,719988,585376,-1,716677,764973,207193,-1,-1,-1,9723,5401,-1,322650,-1,822722,-1,340597,910664,-1,-1,799218,-1,227697,882113,-1,-1,88114,-1,975698,-1,435036,147266,367677,268397,748915,-1,287511,513262,-1,890050,613170,582477,-1,-1,427626,-1,485325,-1,-1,-1,-1,-1,765848,156056,163867,-1,313167,160602,-1,-1,-1,969361,-1,92767,451469,-1,-1,-1,-1,308723,-1,-1,-1,956364,478013,-1,105617,824199,-1,438118,-1,827295,702752,584738,-1,-1,-1,274784,-1,-1,-1,-1,268624,997481,625880,-1,-1,-1,-1,392506,-1,-1,-1,533792,-1,-1,-1,-1,-1,-1,-1,450768,146877,-1,682411,532019,681539,-1,-1,998558,-1,89519,494227,758452,-1,344366,-1,-1,-1,-1,-1,910503,-1,832799,-1,-1,511137,-1,-1,-1,591142,-1,168407,-1,271926,409422,-1,-1,734682,-1,-1,296822,160187,-1,132844,706273,668289,-1,-1,-1,171368,650806,428164,201484,334385,-1,-1,290417,-1,-1,-1,-1,582163,619004,-1,41876,-1,-1,911499,-1,-1,-1,396439,-1,647631,-1,-1,730233,431690,-1,-1,-1,-1,421732,-1,-1,-1,-1,43267,-1,443008,-1,155397,-1,441583,777201,916027,-1,-1,-1,-1,817219,-1,-1,-1,-1,752111,-1,-1,312665,133099,66255,-1,842363,-1,-1,535515,-1,600291,-1,-1,340744,381311,739519,-1,-1,-1,266408,-1,-1,-1,-1,-1,-1,430022,-1,542984,584965,103445,-1,411889,416837,-1,-1,345760,966292,-1,10680,752071,-1,365085,-1,-1,-1,308455,341200,822734,-1,178062,-1,258658,-1,-1,375492,-1,381715,-1,772469,196615,-1,329323,723042,-1,-1,640482,-1,-1,996257,-1,-1,-1,100535,600929,-1,599036,32781,841599,758425,619862,-1,-1,64019,107540,-1,458847,-1,-1,247160,462921,431833,-1,759455,-1,812667,423558,-1,129461,-1,-1,-1,427933,-1,-1,-1,-1,-1,406939,885326,737047,-1,343861,-1,-1,876294,982724,804087,-1,784452,-1,344028,538984,-1,-1,872705,-1,124841,663281,972922,750725,-1,546139,368610,739919,-1,-1,-1,-1,400326,-1,844077,65888,-1,145816,181360,-1,-1,-1,252312,914502,879357,73371,-1,-1,990982,529934,-1,-1,-1,224815,-1,538698,-1,-1,912028,-1,-1,-1,969117,459956,-1,53154,603394,-1,433593,322619,881327,-1,-1,245319,314281,454774,-1,745590,768187,225083,-1,724671,-1,-1,394591,-1,-1,-1,677738,-1,-1,487205,-1,-1,295249,-1,-1,216875,-1,-1,-1,635365,582445,-1,-1,-1,526658,-1,-1,465200,-1,-1,42916,-1,998459,-1,964239,189779,-1,-1,723074,608974,193195,-1,-1,-1,13696,-1,-1,605507,-1,440977,-1,143596,-1,-1,965440,-1,-1,-1,85224,-1,-1,-1,566478,-1,-1,973662,125159,829272,-1,232793,506113,540321,-1,-1,-1,-1,928232,-1,385207,-1,330845,-1,-1,-1,-1,-1,905269,-1,-1,-1,-1,336045,729216,90870,130956,495989,-1,844034,-1,-1,363618,147473,285080,-1,-1,554047,-1,300996,183421,475214,-1,947732,543769,-1,-1,-1,592337,849519,57999,-1,-1,-1,-1,796650,704844,-1,319390,987634,699413,493489,674652,-1,244573,-1,160782,176335,822823,57314,684560,394072,-1,-1,-1,210275,241219,-1,856791,-1,694850,-1,-1,924107,-1,-1,310595,933202,670484,587929,-1,-1,633844,225898,158906,-1,-1,-1,-1,953982,881609,-1,985157,370084,591107,400923,-1,-1,498718,-1,392789,782679,-1,-1,697502,-1,-1,967775,-1,142725,705610,-1,-1,-1,607963,679595,-1,-1,-1,-1,-1,155047,81486,-1,763744,-1,179496,-1,-1,-1,-1,390037,917846,391612,-1,-1,-1,874449,-1,231640,-1,-1,-1,-1,-1,143936,-1,483049,-1,246633,456626,621514,-1,853310,764822,-1,-1,-1,-1,634125,-1,-1,408312,618645,-1,472732,114743,461748,-1,-1,272982,-1,-1,371644,64205,-1,668215,-1,-1,-1,-1,-1,23106,-1,-1,765393,-1,459486,964410,-1,433446,-1,-1,-1,885687,-1,745548,489524,-1,-1,351887,-1,743364,41273,-1,-1,477115,-1,112769,-1,-1,909563,-1,318925,-1,492598,423234,298578,269467,-1,-1,282625,759693,-1,-1,131381,-1,-1,-1,665057,-1,-1,630215,-1,-1,-1,502637,-1,511854,-1,-1,-1,-1,394390,-1,613800,-1,-1,66386,71875,-1,-1,-1,751611,842518,991270,583060,-1,-1,-1,936663,-1,-1,409171,164317,685090,-1,660903,856139,973930,614652,714673,995379,-1,833000,396637,-1,-1,-1,635559,413569,258421,55977,-1,146492,-1,875859,-1,35803,-1,994550,730576,-1,-1,914713,-1,784636,776006,663102,-1,336194,597650,13555,310570,-1,-1,675582,-1,949041,-1,199154,439483,-1,-1,-1,985875,-1,351783,-1,74801,492247,820965,7671,523106,206975,456732,-1,900143,-1,23530,-1,969015,506673,-1,-1,-1,-1,-1,701940,764228,548949,965033,-1,848356,153878,691667,604997,-1,-1,-1,-1,-1,-1,-1,557492,-1,38073,886670,-1,325517,-1,327227,85741,-1,-1,25288,-1,856849,-1,-1,764918,504882,655171,204567,557767,-1,-1,190809,-1,-1,-1,-1,170697,-1,114758,-1,-1,-1,696409,-1,-1,-1,-1,-1,-1,140777,-1,-1,-1,-1,-1,-1,-1,-1,-1,564026,551668,-1,-1,360693,-1,-1,237550,-1,772074,792173,-1,14025,901941,35857,-1,-1,-1,-1,-1,117816,493884,-1,754014,299286,39699,-1,-1,-1,-1,-1,659419,523863,479991,-1,-1,-1,-1,-1,906434,-1,-1,377512,986233,-1,93099,-1,-1,-1,645623,-1,219393,256089,350715,662534,328962,-1,-1,-1,657490,300939,-1,348471,59532,869122,942579,-1,554448,304665,119039,-1,-1,682561,-1,-1,-1,511932,-1,48978,-1,-1,-1,684359,-1,-1,542493,-1,238253,-1,-1,548652,763411,-1,480971,372551,-1,-1,-1,-1,-1,-1,957495,-1,293825,274200,-1,976336,118375,-1,415343,114733,484107,-1,-1,-1,-1,-1,799134,583918,109241,-1,505785,720531,384603,-1,-1,-1,-1,189234,-1,-1,298821,-1,92234,753421,-1,915286,-1,-1,387759,-1,703897,298161,-1,-1,552890,231958,-1,-1,892925,107203,42642,236162,-1,-1,397437,-1,-1,-1,-1,24659,971000,-1,-1,-1,-1,-1,-1,584515,-1,908269,-1,-1,763239,-1,-1,5827,342887,-1,597949,-1,662112,-1,-1,71703,250013,-1,717229,-1,-1,484237,760284,769432,628381,-1,394878,-1,534682,85342,242661,-1,293102,319891,-1,927389,-1,-1,402862,-1,-1,976820,173001,993054,-1,647101,-1,-1,678615,-1,-1,748477,-1,741381,-1,-1,24325,-1,-1,-1,888819,493355,660367,-1,-1,500378,-1,665973,-1,-1,-1,155827,-1,304121,509521,649348,427738,509086,756888,-1,-1,-1,765215,557677,-1,531650,2886,-1,-1,-1,579283,710206,159159,-1,737731,-1,-1,469140,-1,801067,679561,262665,-1,552611,682512,587791,-1,944754,972386,-1,-1,-1,-1,844867,-1,-1,484714,767161,508081,-1,-1,502428,-1,-1,-1,-1,806494,949125,-1,482424,926277,-1,926405,478998,858542,70653,327000,426667,-1,-1,788315,-1,438008,-1,-1,-1,-1,47939,922138,313715,4211,-1,544307,-1,-1,507859,-1,621048,-1,-1,-1,-1,-1,-1,-1,965082,251263,385739,890516,989240,639700,339047,-1,-1,-1,838569,280022,-1,698170,-1,801035,132278,843888,-1,-1,934801,-1,-1,-1,-1,91597,-1,192857,264462,-1,-1,-1,732794,752790,653580,265255,338807,897280,385025,99904,148112,870008,-1,346277,-1,575041,665192,899858,-1,253929,492098,408841,-1,471358,-1,-1,722659,806674,685594,-1,-1,-1,76708,-1,843007,-1,763485,-1,-1,584810,159273,8849,-1,-1,-1,582809,38945,-1,-1,159083,-1,-1,553407,260147,231719,-1,-1,-1,307236,-1,610498,-1,-1,311080,-1,-1,-1,-1,194739,132831,-1,535504,979149,-1,-1,-1,-1,-1,317426,-1,-1,64185,-1,-1,-1,-1,556139,-1,337492,851708,-1,364406,372006,-1,523360,-1,-1,384470,-1,-1,-1,-1,-1,190251,-1,911202,-1,382531,-1,202509,439977,-1,-1,243671,561538,646673,612723,619598,578202,-1,-1,149635,718771,357839,-1,-1,403345,-1,-1,-1,-1,-1,-1,216314,-1,384678,-1,-1,983099,113609,633872,-1,377741,-1,-1,-1,-1,-1,-1,312600,361320,-1,-1,-1,-1,-1,868107,877795,-1,372861,212232,17808,-1,-1,583953,249496,89858,840993,-1,593674,631568,-1,-1,-1,-1,-1,-1,518689,400866,-1,503420,347130,-1,370230,272677,384778,46277,120083,485944,-1,122705,456122,102256,-1,-1,-1,643770,-1,370819,-1,-1,-1,-1,-1,-1,16378,-1,888336,-1,-1,930225,398440,337183,-1,7133,-1,512,-1,69574,-1,785381,-1,-1,-1,500410,-1,-1,-1,-1,470362,728618,692623,578658,311847,66916,906550,-1,62052,-1,-1,-1,166378,-1,-1,216009,-1,450773,-1,-1,-1,494461,-1,-1,-1,-1,704006,749194,-1,-1,2493,572050,143390,809658,711439,-1,-1,218962,-1,-1,-1,-1,-1,581496,-1,-1,-1,-1,775878,-1,827972,-1,211818,398785,-1,-1,126120,460986,697741,-1,566636,-1,-1,638732,-1,622595,-1,-1,-1,-1,-1,11062,-1,-1,182126,975040,-1,-1,-1,-1,89188,-1,-1,416375,-1,-1,527882,514265,900838,440711,-1,430135,-1,328007,581424,-1,-1,343594,-1,870006,83757,565837,-1,76415,227012,208476,-1,-1,-1,567695,-1,-1,873231,152700,175259,-1,-1,95130,804930,-1,468245,-1,488512,-1,554922,125943,-1,577235,-1,-1,-1,700872,703180,393551,-1,205707,263868,-1,-1,831834,-1,422875,833738,63452,396988,654613,-1,521585,306926,352055,772066,37514,-1,-1,412657,-1,92391,419985,-1,-1,-1,559200,-1,-1,-1,-1,323013,-1,-1,-1,-1,-1,912504,595177,-1,-1,-1,-1,872306,-1,-1,417184,892656,-1,273159,336049,686819,341627,-1,-1,-1,576277,-1,894617,-1,-1,965970,479384,942095,319119,448748,406634,-1,475591,-1,-1,492272,289823,-1,771752,-1,-1,-1,345044,747324,627932,-1,-1,408837,-1,-1,922076,137668,-1,-1,-1,-1,-1,-1,-1,816295,-1,-1,552323,-1,-1,-1,370188,-1,-1,-1,544503,-1,-1,647922,738592,109006,611003,772630,166155,-1,-1,595311,-1,-1,404616,-1,550141,-1,363679,-1,18181,-1,730032,-1,828267,152768,18310,532269,746825,928697,233145,-1,-1,-1,-1,793191,-1,-1,-1,-1,371643,-1,929272,927452,578638,698527,570741,534519,-1,35058,212708,862791,-1,-1,485598,-1,574849,398581,639163,679147,748353,958076,-1,-1,-1,-1,-1,-1,-1,943387,506671,660074,-1,-1,953322,-1,-1,912445,699118,94506,-1,306829,494292,594883,-1,704359,-1,-1,724176,-1,-1,-1,-1,-1,254033,-1,882606,-1,530474,-1,-1,955830,-1,-1,-1,712813,795270,939761,61541,818454,-1,-1,-1,-1,-1,408205,-1,-1,-1,899367,665469,837155,276603,-1,374940,476743,-1,178529,-1,-1,-1,-1,-1,780738,-1,-1,440122,502477,108315,-1,444956,226535,-1,-1,-1,-1,220500,-1,73668,-1,-1,701504,453601,25045,-1,726209,322868,-1,653422,-1,186992,921144,-1,975013,-1,-1,634728,533150,-1,921576,-1,-1,180487,100150,441985,-1,340034,-1,-1,-1,-1,-1,666775,653492,872882,-1,-1,-1,-1,-1,-1,-1,191322,773604,457579,-1,611350,-1,-1,-1,922796,782615,898561,-1,-1,660643,-1,617250,20664,-1,-1,901647,-1,-1,-1,931805,152847,478086,-1,855162,866257,648286,251268,-1,262567,799551,331379,-1,-1,296765,580473,532935,446595,-1,-1,-1,-1,-1,255428,337147,790966,336426,845514,51031,-1,33426,710078,-1,57780,783908,-1,-1,719649,-1,-1,291491,-1,-1,-1,221676,-1,-1,-1,215162,-1,-1,-1,369741,945717,-1,868766,129756,-1,-1,-1,-1,-1,219843,-1,-1,323654,-1,732714,112254,-1,685058,164781,-1,338831,379520,-1,-1,547304,-1,-1,182322,-1,-1,790885,-1,802977,568795,110566,-1,-1,358003,-1,-1,-1,-1,-1,-1,-1,-1,892478,829192,846780,-1,-1,198270,-1,-1,-1,-1,-1,365824,-1,-1,142197,767412,-1,-1,-1,-1,-1,-1,417471,-1,173329,409245,464721,-1,455231,-1,441345,510811,-1,-1,935683,-1,-1,-1,22383,213160,-1,420242,457217,528009,604534,566680,328445,-1,764779,353764,361535,642469,-1,-1,432720,-1,-1,-1,-1,-1,387175,-1,-1,-1,-1,460946,-1,-1,368694,-1,995092,-1,651603,218730,229952,331396,359282,610802,-1,960805,460352,784157,382125,-1,-1,424637,-1,-1,409167,35353,950900,-1,-1,111787,-1,-1,-1,703090,538065,388252,58329,-1,-1,-1,583755,668870,987908,554954,924608,31623,-1,41797,799375,242872,54588,-1,-1,-1,-1,-1,359480,1535,716690,-1,-1,447256,-1,-1,-1,-1,-1,428685,-1,854892,889627,-1,-1,-1,-1,33824,599385,-1,326541,-1,445987,-1,-1,900582,-1,165,-1,363578,140146,-1,400144,-1,502691,999737,-1,576828,903717,-1,-1,837942,-1,-1,476829,-1,-1,-1,-1,658094,-1,407514,123827,665361,-1,-1,828761,528738,-1,646754,-1,895505,-1,-1,-1,763508,328441,-1,496368,-1,-1,-1,815596,227234,932348,-1,-1,455626,848690,-1,-1,2877,435243,-1,-1,-1,246728,416637,-1,-1,-1,-1,-1,-1,733733,885158,792821,-1,360002,-1,-1,972144,39585,-1,905131,901495,-1,-1,-1,282832,-1,954495,851048,-1,-1,-1,-1,-1,-1,541635,391568,5917,-1,973067,-1,-1,149964,142146,820370,176261,300392,652196,901471,-1,985249,-1,-1,-1,-1,-1,874007,14510,66327,-1,120696,-1,-1,785588,239658,-1,126397,-1,466798,243905,653351,-1,403397,415482,180936,-1,-1,-1,-1,-1,-1,562500,744175,-1,169952,-1,504331,-1,-1,-1,-1,-1,150165,-1,515299,676193,-1,-1,132900,-1,-1,710914,832510,527298,-1,992421,520856,609209,-1,722097,569506,-1,86938,-1,-1,-1,-1,634856,76359,-1,-1,974900,-1,341358,254278,-1,580782,-1,165780,810395,-1,-1,-1,129575,-1,-1,426854,-1,645970,75402,701987,-1,269492,431022,-1,-1,-1,538284,530385,-1,-1,421734,-1,654154,-1,325013,-1,62354,-1,62434,656163,449233,-1,-1,522739,-1,-1,-1,-1,637550,-1,-1,669581,353932,600161,-1,-1,479843,-1,-1,92325,-1,-1,801353,-1,-1,-1,-1,248745,-1,904358,112190,905054,537101,726538,-1,-1,452864,318959,-1,-1,743461,593361,540611,963947,-1,282043,336673,495479,946830,-1,-1,-1,-1,725582,125197,-1,18982,-1,467467,260052,27897,-1,-1,-1,-1,-1,-1,-1,961585,-1,689654,-1,916999,296464,-1,-1,526584,791426,-1,367024,703690,240607,547998,-1,-1,-1,726312,-1,874964,-1,-1,597399,-1,-1,-1,16624,-1,457335,2083,737389,787046,627404,838343,650082,481055,823934,330823,282860,-1,815171,-1,174701,-1,-1,895294,478475,-1,713029,-1,426253,23593,-1,370567,-1,534923,146030,418369,311285,-1,936837,30171,-1,980815,-1,351950,752753,-1,-1,-1,-1,364319,-1,776520,424169,269308,867051,-1,-1,-1,62071,8132,-1,239540,274099,579150,52948,443273,662682,306654,62268,188421,378205,518494,857114,475914,768839,214858,699293,-1,-1,181924,-1,-1,-1,-1,-1,-1,-1,489301,422881,1313,-1,482859,-1,810147,410877,-1,205239,-1,-1,-1,112851,293989,153078,-1,3381,254507,218504,-1,376223,-1,-1,327938,-1,-1,686591,-1,545955,-1,-1,657591,514816,-1,-1,309963,-1,-1,18036,577245,508930,985603,146146,257215,859352,126733,-1,524791,-1,-1,139057,-1,-1,728058,-1,170411,-1,-1,279115,651188,-1,-1,77813,-1,602549,405414,-1,-1,492694,940662,-1,964714,325067,587345,28052,-1,578538,187685,378597,-1,-1,-1,-1,-1,-1,928866,-1,163208,-1,456251,-1,-1,-1,277053,802725,857315,-1,-1,-1,-1,99106,946881,839192,115918,74572,-1,679818,940655,-1,-1,-1,-1,-1,-1,516126,741429,138636,801526,577446,473088,658984,201049,-1,448378,-1,-1,426669,373906,552294,710236,365913,-1,-1,-1,206819,-1,-1,23140,-1,-1,315036,273293,-1,-1,24672,806671,-1,-1,-1,-1,438560,-1,739646,372050,584511,-1,-1,586229,-1,384559,-1,-1,695422,-1,977373,-1,-1,344561,912739,709951,-1,866599,-1,169583,-1,159306,-1,343923,36026,830669,967636,465569,350910,964385,-1,-1,717207,450081,949771,249345,426256,19776,112572,-1,88281,794995,549996,632260,-1,-1,673325,746135,-1,-1,-1,-1,864762,502096,-1,-1,173574,544145,736825,-1,-1,948963,-1,430467,-1,-1,-1,227885,140761,-1,-1,-1,-1,-1,-1,-1,-1,507536,609911,-1,-1,-1,454648,-1,-1,-1,44135,-1,104903,-1,351593,-1,-1,-1,-1,224981,400348,481200,874444,169322,572842,844759,696388,-1,744259,-1,975374,-1,-1,-1,613062,957943,914995,381070,411463,-1,-1,191422,719256,-1,-1,-1,992806,-1,-1,-1,-1,-1,-1,676736,-1,-1,389990,23984,21121,769586,-1,-1,701398,-1,-1,750583,657069,-1,-1,340926,893269,-1,240658,61880,-1,35502,-1,-1,406039,-1,-1,-1,539155,-1,104090,690511,180110,-1,4271,-1,-1,-1,959878,-1,24910,369837,-1,-1,-1,479611,784525,-1,-1,-1,613838,189137,740066,-1,179448,-1,556031,742438,705803,56301,-1,217051,576043,-1,-1,651655,-1,492568,-1,-1,796080,729363,-1,-1,470444,-1,417143,-1,66158,923683,-1,-1,353082,-1,875261,-1,-1,687326,-1,801684,543473,153353,830595,-1,298499,249990,-1,-1,-1,-1,453435,-1,286357,-1,628521,-1,-1,458866,-1,-1,-1,794648,-1,131496,-1,-1,-1,618795,-1,262374,986430,-1,969761,-1,-1,-1,56524,125658,-1,759154,659773,141438,933358,206108,114280,-1,280299,888300,684606,497667,-1,765962,143931,-1,-1,224896,842397,-1,557646,-1,856293,882411,-1,-1,895728,-1,968182,781788,282850,994966,-1,-1,-1,-1,-1,-1,512299,-1,989708,-1,380207,32123,-1,40535,-1,372180,227206,440582,29304,792369,-1,-1,-1,537085,935471,55045,-1,84039,664582,-1,382689,-1,880129,625667,-1,-1,538064,14396,976474,-1,-1,-1,592728,492022,647100,-1,940647,746600,189988,-1,677936,-1,582934,514773,-1,301133,-1,-1,700207,146530,870407,913623,584916,902106,625626,-1,282171,-1,574255,-1,-1,-1,-1,-1,-1,371178,-1,877391,-1,-1,51487,592510,289263,-1,-1,-1,38804,827725,106187,-1,-1,564762,-1,-1,724258,478174,-1,736856,-1,-1,302595,391028,-1,960351,790232,982349,-1,339202,-1,432038,721324,-1,399128,-1,-1,879384,-1,619191,-1,579339,-1,521217,-1,-1,864354,772585,-1,-1,64076,-1,-1,-1,310882,-1,500599,-1,-1,858802,251740,-1,-1,-1,-1,-1,225679,-1,1900,-1,56304,-1,-1,-1,661495,526317,-1,-1,545939,964779,205667,-1,-1,-1,-1,-1,-1,-1,-1,308735,-1,-1,-1,-1,-1,45518,838277,-1,-1,-1,-1,-1,16412,-1,37381,925233,368605,830227,-1,-1,436582,-1,731640,629669,384140,876394,624425,327948,-1,977398,882196,466010,-1,-1,-1,-1,29254,469641,-1,-1,-1,-1,45126,-1,-1,-1,326084,756142,187959,405231,34671,756892,-1,-1,-1,262619,-1,540445,-1,997429,-1,509173,508387,-1,-1,433721,142426,-1,915476,518609,90583,-1,-1,185227,-1,437039,-1,-1,-1,362905,237238,618689,-1,-1,637365,579866,-1,-1,-1,350362,-1,-1,780465,-1,-1,431119,-1,460635,356668,-1,-1,646105,241850,484746,251854,423839,213728,-1,186276,-1,249322,-1,-1,-1,-1,351063,745025,353767,660636,-1,729760,445362,-1,-1,364112,-1,-1,-1,-1,157458,-1,624816,479079,-1,384884,688438,825932,-1,-1,-1,-1,-1,-1,-1,-1,229199,692802,543492,-1,155665,-1,433114,280887,-1,-1,-1,-1,-1,-1,-1,-1,702207,-1,396197,-1,-1,245266,455224,363056,916585,593659,-1,582730,339395,-1,520108,226361,762923,733449,-1,543141,549260,426320,-1,262108,800574,-1,-1,-1,87724,-1,-1,31696,126753,977476,382851,572758,521171,237251,-1,-1,-1,-1,-1,-1,-1,906610,-1,335490,149313,501777,-1,213769,-1,-1,785676,-1,487203,-1,174346,-1,-1,441437,192199,424187,703505,-1,-1,806094,74505,868916,900808,-1,-1,938709,45455,-1,-1,-1,372433,172866,937581,-1,-1,946848,-1,227762,412480,267490,-1,-1,-1,-1,-1,-1,-1,788865,840009,595823,-1,-1,642488,576383,88187,679096,-1,-1,738756,-1,822829,-1,627410,604082,-1,768214,-1,965857,898325,-1,300585,-1,166691,-1,-1,-1,90155,490684,80400,469235,345273,697964,195417,-1,993404,-1,943289,943474,-1,-1,969378,-1,-1,-1,888184,-1,-1,534573,-1,522810,-1,-1,-1,-1,307041,-1,-1,344837,-1,678600,-1,799653,82527,-1,850843,-1,300805,17054,376987,227448,-1,-1,-1,-1,603408,447233,493255,-1,58681,-1,-1,580994,-1,972308,529488,-1,764119,554241,-1,-1,443838,-1,576817,-1,434125,-1,746196,-1,-1,-1,-1,-1,-1,-1,-1,593785,-1,60901,959797,635314,701450,894734,-1,-1,-1,-1,-1,869681,-1,-1,270705,133049,864825,366098,-1,576314,-1,89973,709719,454191,210572,-1,89917,248399,-1,254526,326167,532176,644781,797344,-1,913726,-1,-1,690092,640110,-1,-1,152117,632877,-1,592025,-1,723723,782284,-1,-1,893193,552639,-1,720252,-1,-1,156812,173174,-1,534252,327867,-1,416340,-1,683022,486748,-1,468351,225058,-1,-1,-1,-1,-1,834460,974050,-1,352509,560412,-1,643724,-1,100730,639303,303550,119073,-1,135741,-1,118773,-1,-1,319876,-1,-1,-1,-1,-1,-1,-1,289372,525070,-1,49895,510038,-1,783822,206558,-1,25340,-1,-1,108753,818357,430343,660694,584380,985452,-1,-1,-1,-1,-1,-1,325425,-1,436382,-1,231351,558752,-1,-1,152706,783894,90427,452035,634979,-1,-1,-1,-1,580515,949097,-1,449369,907791,-1,-1,247836,-1,-1,263089,201259,-1,852833,-1,-1,396971,-1,746400,470508,-1,453266,-1,215516,95610,214358,-1,-1,58147,-1,709982,-1,608540,187612,-1,540418,-1,415213,-1,917140,-1,90531,-1,170267,-1,-1,-1,465014,66393,-1,-1,755746,-1,775260,653283,-1,-1,-1,-1,980968,-1,-1,461392,85094,662679,-1,851575,-1,248319,-1,-1,-1,281885,869277,-1,-1,-1,4427,38528,44906,222886,117479,765391,571980,965015,109461,463901,804786,-1,456754,29234,-1,-1,-1,-1,-1,971185,571609,250359,-1,489429,-1,-1,999319,-1,-1,-1,963089,-1,-1,-1,739929,754404,-1,436612,223722,239438,627889,194821,156380,656045,-1,-1,997188,-1,504130,-1,775747,598566,-1,-1,920337,878323,732169,194799,-1,-1,-1,173251,-1,365082,499980,-1,-1,-1,-1,-1,359217,-1,730262,197996,623957,210739,-1,-1,349435,-1,858573,634935,641966,-1,922713,-1,505910,-1,-1,-1,-1,-1,-1,385538,981079,741120,13337,-1,-1,971272,-1,-1,-1,668856,-1,175327,-1,-1,151022,509602,-1,847712,464635,488417,-1,-1,-1,614924,-1,440371,487287,283022,-1,-1,442702,682505,-1,-1,-1,765927,158089,723630,492664,-1,544298,842001,415752,-1,473076,-1,-1,269448,688670,991381,-1,850352,506307,-1,987422,-1,-1,-1,734803,72570,-1,-1,-1,239204,-1,-1,-1,940015,668999,-1,786823,-1,-1,63509,-1,829764,-1,238424,732028,-1,-1,934776,-1,102202,903599,-1,418823,-1,-1,808085,-1,-1,-1,815475,-1,59863,-1,26400,491506,-1,-1,389355,-1,-1,-1,-1,-1,-1,-1,99559,393156,-1,818580,568819,-1,-1,368344,956491,-1,-1,-1,612041,-1,308505,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,652322,-1,171548,852850,260812,253669,-1,-1,12299,-1,-1,805582,158131,-1,761701,-1,-1,34630,359519,809596,-1,245726,-1,710478,743838,-1,-1,945293,-1,-1,326356,816320,16817,-1,-1,-1,855225,798168,451612,503896,617086,572360,530253,89014,-1,-1,6969,-1,-1,495804,419733,-1,-1,-1,-1,156398,-1,-1,-1,162596,-1,-1,-1,-1,351260,-1,810528,816366,984426,-1,24045,-1,689517,567500,-1,-1,-1,-1,419936,452313,-1,-1,-1,356555,286470,-1,814946,-1,-1,223143,894234,-1,244321,-1,-1,806736,705495,-1,115438,-1,-1,797772,-1,-1,-1,252257,-1,-1,24753,-1,586545,870774,-1,797725,398455,-1,347746,-1,119568,148871,-1,150775,-1,-1,-1,-1,642154,840816,197574,736552,82490,-1,-1,-1,184896,-1,-1,-1,664896,-1,791243,463471,608435,-1,-1,442469,-1,-1,580499,913745,781032,407724,-1,501320,-1,337416,-1,-1,-1,721018,127740,-1,-1,-1,-1,-1,887960,-1,872206,-1,538453,33284,-1,-1,330455,-1,-1,-1,187935,282342,810812,-1,-1,548384,-1,829434,-1,989947,480189,-1,203927,496250,-1,-1,636408,-1,63210,-1,5708,717231,88639,318792,-1,-1,640513,-1,233531,-1,-1,963421,172496,61235,-1,283075,-1,326095,-1,-1,350544,-1,611648,233482,-1,-1,169804,-1,451229,-1,693386,965734,12961,495353,428669,-1,433204,-1,-1,344296,65335,641206,431457,857807,116671,-1,967500,275697,-1,-1,503783,544459,595402,74925,-1,95646,-1,-1,779402,-1,946827,-1,-1,175414,964098,769506,208638,-1,-1,756719,464072,299973,774956,-1,17349,7037,541838,-1,-1,655946,-1,145595,899586,229616,251852,696971,454780,930783,-1,-1,-1,267755,-1,-1,641697,939158,454812,-1,-1,-1,288742,-1,927381,959734,94323,398702,-1,-1,-1,800488,687206,662529,290618,-1,-1,568037,860680,630569,835058,550670,-1,655479,-1,761300,-1,945434,704727,165985,622102,674057,-1,466438,575079,-1,-1,-1,-1,-1,-1,-1,-1,163878,17892,-1,258774,-1,-1,-1,-1,210211,-1,972083,560919,330511,-1,843508,561300,-1,-1,635724,-1,637414,248255,-1,361815,-1,360055,441742,945735,-1,214476,496791,-1,-1,322098,611119,400997,202420,819767,976222,-1,-1,-1,-1,5097,640923,-1,833844,-1,787248,114429,-1,624845,624260,-1,-1,517542,102919,207283,979612,-1,-1,61046,-1,325324,-1,-1,-1,-1,-1,264400,-1,612158,-1,-1,956077,740746,581508,788385,766001,734870,270508,62943,-1,-1,828184,768216,-1,508212,956188,213670,-1,685167,-1,564935,-1,-1,836940,726231,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,69727,-1,549618,119892,931904,-1,-1,-1,-1,869556,-1,-1,-1,229201,-1,-1,-1,-1,286945,37335,-1,379779,930909,415294,-1,-1,700779,859339,158550,-1,166813,-1,855420,-1,-1,33107,-1,240900,594158,335089,998965,899932,-1,254509,217765,728194,139952,-1,114598,-1,-1,-1,813539,393420,-1,309755,-1,-1,532751,322913,350705,-1,64505,608116,432945,-1,-1,661684,653491,137790,-1,194518,920280,-1,821787,331487,-1,-1,-1,-1,327380,194210,-1,-1,277733,881094,347707,-1,270245,-1,-1,-1,-1,387799,860934,911580,-1,749879,-1,763320,-1,472830,-1,92562,171320,544725,882164,-1,192321,80797,-1,363860,540594,-1,585478,-1,-1,553507,-1,814635,-1,-1,61413,-1,-1,-1,-1,746087,-1,826236,-1,340600,-1,-1,12217,116194,570078,832346,831213,145402,880784,402474,-1,366639,747038,-1,542631,109057,269823,-1,-1,-1,-1,-1,336259,577191,205220,676275,197006,-1,-1,86438,811272,12513,-1,-1,-1,-1,-1,-1,-1,-1,-1,92194,420918,971308,-1,-1,-1,818718,188537,701897,108307,-1,230436,816621,-1,649325,206187,-1,-1,-1,-1,-1,-1,526587,-1,804692,550124,272657,255574,-1,-1,258602,-1,-1,-1,-1,-1,-1,-1,-1,-1,43977,424835,137903,799276,725114,-1,80326,821756,-1,-1,327035,470344,-1,592613,256421,-1,-1,-1,601029,671763,-1,-1,-1,-1,235286,359541,-1,-1,-1,-1,-1,-1,33319,668066,448442,900492,52257,-1,174695,896781,353047,-1,-1,-1,-1,873089,827211,315054,-1,-1,313343,-1,920001,621441,-1,-1,930655,786264,890054,-1,-1,-1,412501,30314,-1,-1,-1,420458,-1,-1,-1,199828,-1,-1,-1,73690,-1,509940,867573,-1,-1,-1,734584,-1,451344,236152,633132,685327,-1,-1,579222,515901,228919,119372,974882,-1,378961,-1,513341,651377,499879,-1,29437,-1,181905,180760,157765,-1,566929,-1,-1,962257,46922,974615,-1,759139,-1,345993,-1,614738,-1,851111,-1,-1,-1,438051,-1,187440,58053,277112,-1,472743,710950,-1,849544,861496,760214,735863,885347,823418,-1,-1,-1,-1,733080,-1,952339,-1,429471,414758,765911,-1,-1,507177,-1,-1,290732,403364,-1,-1,-1,-1,-1,-1,725297,-1,645484,-1,910037,364545,-1,494471,-1,-1,-1,-1,-1,801257,-1,196114,360766,-1,-1,474284,31547,-1,-1,-1,732561,-1,397758,26391,486677,340432,459448,310267,-1,217133,-1,153409,-1,-1,766239,-1,-1,634716,-1,-1,-1,720774,762128,-1,-1,-1,247062,-1,56591,-1,-1,-1,174753,-1,947463,715095,985768,-1,814734,657667,211983,906283,-1,-1,677429,-1,198286,574848,784049,-1,280493,-1,-1,47426,460085,-1,-1,346649,-1,712949,215042,845872,-1,-1,-1,-1,355781,905167,520425,-1,780768,325227,-1,-1,698027,634561,-1,-1,-1,-1,176061,-1,92891,-1,-1,313056,-1,680528,-1,39366,-1,-1,424470,723194,577694,-1,-1,-1,-1,111795,836349,-1,420778,847292,11665,473876,-1,-1,-1,338421,95134,373428,316569,-1,-1,970528,885371,-1,-1,729052,397345,-1,-1,435457,-1,-1,-1,-1,-1,631759,-1,-1,237119,-1,-1,-1,487200,421490,-1,412082,-1,771557,-1,-1,898266,191743,-1,-1,454299,26620,-1,-1,-1,22161,-1,-1,-1,802625,802179,783715,426462,-1,-1,-1,-1,4904,503649,-1,42899,427006,698224,755547,-1,-1,-1,-1,-1,558625,-1,749932,-1,-1,-1,-1,831660,-1,-1,751473,101673,-1,-1,864217,970520,784362,-1,-1,-1,419635,684572,619419,-1,-1,-1,-1,506773,-1,-1,-1,-1,256769,277850,-1,-1,724823,949550,-1,186614,-1,718712,-1,313608,-1,88403,-1,296643,-1,211610,-1,810402,948976,370582,-1,-1,-1,-1,939756,-1,554268,825758,-1,-1,696908,-1,486264,151399,965942,-1,400076,139673,735621,-1,-1,-1,-1,786993,-1,624407,-1,-1,-1,-1,-1,126488,-1,-1,-1,-1,893164,-1,-1,-1,730862,-1,-1,548291,-1,126218,-1,97294,-1,185778,-1,16543,932091,716663,-1,179152,-1,167340,-1,378897,-1,-1,-1,-1,557444,306220,494296,-1,-1,-1,224959,-1,364369,-1,-1,457642,-1,609565,-1,575203,-1,329445,176587,-1,-1,-1,591831,-1,-1,-1,-1,643645,931196,-1,402337,-1,403074,934874,-1,-1,811903,370523,-1,918841,-1,-1,366593,438393,707525,-1,477358,-1,12931,-1,-1,929692,-1,-1,660778,-1,-1,-1,-1,41003,53874,-1,379005,575692,-1,-1,935418,527507,655403,80464,885096,-1,-1,-1,-1,882482,341335,390325,-1,-1,-1,-1,223868,210604,898075,115135,-1,542319,-1,921270,-1,-1,286855,853166,-1,846335,-1,-1,-1,362237,-1,550539,-1,602677,400564,-1,-1,-1,-1,682560,598898,9277,-1,470504,51124,146918,-1,-1,708410,-1,807523,491025,-1,632794,-1,723345,-1,-1,-1,-1,-1,168081,322965,822816,-1,-1,-1,-1,667469,-1,408684,-1,314032,-1,-1,588971,-1,193377,894410,-1,7333,-1,-1,-1,449156,426271,752308,809947,39789,940686,-1,-1,827207,636293,-1,296146,-1,-1,106859,-1,140495,-1,620666,264394,864690,335394,-1,586210,704526,-1,854385,-1,-1,622265,31832,53133,28999,-1,477502,-1,506551,-1,192635,-1,-1,123665,551008,-1,-1,-1,-1,-1,931022,-1,408676,-1,-1,875374,-1,-1,568311,976843,-1,-1,16440,-1,-1,-1,-1,-1,-1,923824,-1,779672,585203,-1,762649,-1,-1,849412,-1,296672,327404,-1,771960,-1,485896,916368,50263,468030,488930,659764,-1,-1,-1,-1,-1,622098,-1,151349,-1,685985,15648,642157,927517,252161,-1,893326,379112,-1,719331,520198,548187,-1,680058,68672,808733,525921,-1,-1,530719,-1,-1,666163,135020,408581,-1,-1,-1,-1,-1,-1,359057,-1,187797,-1,384253,-1,-1,302663,-1,124840,-1,-1,392409,-1,-1,-1,905540,-1,829444,521639,-1,-1,12161,648386,-1,745941,598687,582003,10229,-1,62812,67719,381974,814064,-1,-1,-1,-1,140598,-1,-1,737420,150700,6243,-1,-1,-1,-1,-1,609442,772036,318627,120017,-1,-1,258912,504658,-1,-1,-1,-1,97630,-1,853357,360330,585515,598364,655469,593779,-1,-1,-1,669589,827260,71578,-1,6034,-1,661881,355238,-1,-1,764062,937836,658714,393769,708292,968989,-1,74344,-1,-1,-1,672156,-1,-1,-1,-1,831107,-1,401940,-1,152630,-1,-1,-1,674959,-1,697853,685838,704639,-1,-1,528213,-1,66601,42784,-1,456923,-1,808364,172472,-1,679148,-1,-1,898082,630111,-1,957450,572756,-1,-1,-1,904803,495277,-1,799111,-1,190878,5621,511513,-1,-1,-1,-1,-1,-1,-1,861699,678256,969876,-1,-1,151783,-1,191666,120702,-1,-1,-1,-1,608639,106939,-1,-1,106573,748275,394230,-1,945398,-1,970341,-1,-1,100057,-1,897484,155929,175158,-1,-1,833732,99623,-1,470538,-1,55721,855124,1871,-1,-1,-1,593727,661789,-1,680404,903396,784777,-1,-1,431225,-1,-1,583165,-1,354982,-1,-1,-1,-1,-1,695912,973911,67876,-1,-1,-1,231991,-1,459127,807092,622590,507359,528240,-1,-1,-1,-1,-1,370113,-1,-1,-1,613861,-1,-1,23930,-1,-1,-1,304919,-1,-1,974751,648362,85344,132542,5966,-1,358942,-1,-1,-1,-1,-1,-1,748621,446892,508150,492968,255608,-1,259440,529516,-1,854947,-1,-1,-1,-1,-1,-1,-1,-1,-1,131915,-1,-1,897999,206466,-1,986124,-1,756181,-1,-1,-1,-1,-1,-1,-1,-1,652192,930905,858,-1,-1,519543,-1,925947,-1,-1,-1,788337,-1,517116,-1,562133,146383,512435,985218,63957,447772,-1,750390,-1,208037,169478,-1,-1,-1,473791,60074,26179,-1,843647,422879,-1,680444,-1,-1,144033,-1,735420,274915,-1,692005,258634,-1,-1,285455,-1,828141,75325,26023,321105,-1,859556,180293,-1,-1,-1,832012,-1,-1,-1,-1,-1,-1,-1,-1,-1,853724,602647,47037,-1,-1,-1,781910,-1,-1,101238,321844,715406,-1,-1,600828,438273,663441,-1,4567,-1,-1,-1,-1,673602,-1,242679,-1,991403,-1,-1,438859,-1,-1,-1,15532,-1,-1,-1,-1,-1,673799,251701,-1,966030,142623,793583,-1,793756,-1,-1,885941,525965,-1,189382,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,580476,-1,-1,995535,-1,502950,-1,-1,-1,892014,395201,-1,-1,-1,886178,-1,327037,-1,-1,-1,268795,-1,722510,891804,-1,-1,-1,-1,-1,392936,944344,-1,937678,-1,974288,983848,342149,-1,928875,47943,989151,819809,-1,-1,547802,-1,-1,-1,-1,-1,406830,610141,-1,427141,-1,637643,-1,984108,414993,-1,-1,731385,641506,395821,-1,-1,-1,467895,153242,83564,-1,-1,-1,-1,447675,536983,-1,120600,-1,-1,-1,-1,-1,44099,856693,571976,230971,203510,599432,876381,553115,-1,728526,166730,235044,-1,-1,236023,-1,-1,-1,-1,444690,563367,-1,-1,751618,832975,-1,218776,344940,326271,-1,75245,-1,21688,969785,-1,9317,-1,-1,682366,1488,282651,-1,401101,-1,424962,338790,232361,-1,-1,-1,657380,319962,688622,134262,-1,124602,-1,-1,300884,899672,417675,920980,423508,-1,987741,-1,-1,240596,-1,865533,198435,-1,-1,356086,772406,650473,631724,566578,-1,866464,-1,-1,-1,-1,-1,54172,-1,-1,990979,87776,721803,635339,570096,291331,-1,107543,943422,-1,462106,805396,934077,246801,957629,-1,-1,-1,-1,-1,635921,142810,984443,290451,-1,-1,152270,445306,-1,-1,620074,-1,102847,154944,-1,-1,-1,-1,-1,-1,523729,391876,928984,923051,803509,885865,55516,637113,157099,312760,440274,-1,403481,-1,966122,-1,978774,221328,-1,-1,-1,658422,-1,-1,-1,-1,779099,496235,361339,39694,-1,-1,-1,728467,-1,895704,532360,-1,386969,454879,993882,-1,-1,951448,-1,-1,35212,-1,-1,702743,-1,-1,-1,196586,-1,-1,599726,-1,402527,121282,-1,12869,873326,-1,982570,-1,585046,523992,-1,708152,234628,304317,-1,-1,73078,674406,-1,-1,940428,203316,-1,989899,834711,543127,-1,373454,-1,-1,-1,287438,672954,-1,-1,471316,-1,-1,424774,523969,327047,894057,331972,-1,862267,984644,139821,186660,134939,-1,-1,47526,597858,-1,439359,-1,-1,257898,892799,396493,519819,-1,-1,254528,474187,237145,652661,475383,926228,728619,454519,-1,-1,749338,852746,-1,142686,213857,-1,-1,291913,750128,53217,12322,-1,678323,59351,-1,371805,-1,481159,-1,40337,839637,518547,366640,-1,713184,945884,-1,28140,-1,-1,486114,28812,534595,477724,370976,-1,-1,-1,-1,316484,725395,-1,-1,-1,799436,820878,-1,-1,-1,-1,-1,-1,-1,857623,269463,876549,-1,587830,-1,874389,336915,414979,843674,-1,999279,50511,-1,847868,-1,-1,971380,700039,-1,-1,813347,328305,116627,308014,-1,509040,298120,-1,-1,306750,898135,183585,572634,890937,433054,275833,-1,929483,-1,-1,-1,195834,-1,353045,613860,424757,-1,-1,817150,-1,-1,602737,508177,7727,845308,-1,867276,681870,19030,-1,-1,-1,-1,131876,829157,-1,-1,42941,779788,-1,-1,70387,-1,-1,-1,644170,114556,858985,932233,-1,-1,241142,876276,-1,96337,362114,-1,847105,-1,-1,-1,704552,-1,962597,504841,921624,-1,-1,-1,-1,-1,663609,-1,530998,544069,-1,460792,593272,843195,-1,-1,666030,-1,-1,490115,607392,-1,-1,74307,417032,155220,-1,-1,-1,451185,-1,217890,304852,-1,923900,120058,652755,457993,-1,476872,-1,-1,-1,-1,-1,457599,869745,356260,65333,-1,-1,-1,860493,673881,-1,204961,-1,836468,997580,1103,705924,929939,-1,808531,110481,582358,172068,-1,316498,-1,-1,-1,923107,-1,-1,-1,-1,612949,-1,-1,865293,17714,-1,-1,635609,33484,82394,-1,930826,-1,-1,-1,-1,187547,-1,-1,635465,-1,-1,214344,643829,224083,719194,-1,-1,-1,-1,-1,818727,734758,398901,77888,346911,-1,-1,-1,-1,88582,910856,-1,396232,-1,-1,148555,109080,952709,246496,-1,260386,822464,-1,689178,-1,281483,-1,572577,-1,-1,-1,-1,-1,338996,-1,640202,-1,204559,170027,720098,340486,-1,939131,2626,-1,-1,944164,-1,-1,-1,601830,-1,170993,-1,-1,85874,517677,912083,-1,-1,414364,-1,-1,-1,192378,494198,931469,21951,-1,635561,187397,-1,459245,-1,-1,628079,-1,891457,81526,-1,380550,810955,706976,-1,-1,-1,-1,854578,-1,-1,918371,809424,58989,305449,469757,204357,573044,283108,-1,-1,805893,-1,-1,-1,-1,29829,-1,790256,369985,817428,-1,-1,7222,-1,652141,-1,-1,-1,629888,130530,-1,-1,977048,973636,-1,388086,-1,-1,160147,137366,245047,-1,947753,-1,-1,-1,885569,-1,-1,-1,964248,-1,-1,-1,3889,-1,-1,949440,-1,795570,-1,776401,727327,-1,-1,771242,-1,886655,-1,-1,-1,-1,351158,-1,-1,942636,-1,-1,-1,-1,837704,-1,-1,606288,-1,-1,-1,366300,-1,-1,-1,934596,143097,-1,299891,5576,811792,-1,616856,422583,-1,623242,-1,-1,-1,749125,-1,-1,-1,432731,510140,669550,272516,16753,-1,-1,456771,246018,970273,890005,675320,-1,-1,-1,941992,25071,611505,-1,129029,560132,-1,-1,-1,799641,323612,-1,-1,207099,590418,-1,-1,863834,-1,15761,659524,-1,54252,564795,583574,143881,685331,79361,-1,524479,-1,-1,81443,842361,-1,-1,-1,40594,581041,-1,964403,318730,818808,31931,129604,376775,642393,888777,425216,719508,-1,705122,612600,-1,-1,-1,-1,566107,-1,-1,-1,-1,904729,915331,-1,-1,-1,-1,252828,-1,-1,-1,577583,-1,-1,479784,215186,-1,736434,-1,-1,-1,344952,103164,551248,440141,-1,-1,598411,-1,91951,98710,-1,389311,-1,858377,-1,343029,560177,488657,449364,-1,857210,512522,-1,-1,461736,847878,-1,-1,24763,634826,814949,-1,-1,-1,980639,-1,213328,355676,-1,-1,-1,527461,-1,-1,434661,-1,-1,494907,-1,923809,131117,-1,348070,-1,93736,406091,824099,548601,-1,-1,-1,-1,149259,-1,-1,605103,-1,459424,376049,17273,-1,705234,-1,492240,-1,292578,689275,-1,-1,-1,210078,526025,54008,137583,98603,282670,117868,5968,865199,-1,-1,-1,286450,559286,-1,-1,683509,-1,-1,12905,259190,-1,603935,-1,997998,-1,-1,-1,-1,-1,581437,334869,-1,996547,-1,226838,886569,455624,-1,41278,628715,457775,772795,-1,-1,357862,-1,-1,-1,285711,67509,-1,-1,-1,-1,965330,-1,-1,501901,225196,501384,-1,201802,-1,-1,-1,871634,-1,979854,-1,-1,-1,-1,-1,-1,-1,491426,-1,-1,466004,626602,251589,-1,-1,-1,-1,-1,-1,-1,283655,-1,448888,301413,312398,778698,-1,-1,-1,745350,-1,-1,280447,-1,-1,505438,509813,749750,78800,780019,74047,261687,-1,-1,90418,103660,949947,985980,705393,242241,272602,6824,218405,743175,866085,172048,-1,-1,-1,-1,932664,-1,33572,983122,923716,137219,196003,-1,385990,-1,29421,-1,559933,263304,-1,-1,-1,47222,580891,-1,-1,91913,-1,-1,122381,821085,-1,596093,806384,-1,-1,11423,-1,-1,946338,941546,879555,-1,-1,118548,-1,523369,233183,629675,-1,-1,-1,-1,856914,702755,-1,299111,814632,-1,-1,-1,-1,-1,-1,10035,804875,612298,-1,-1,479582,452916,-1,238564,-1,-1,-1,388506,-1,584084,-1,-1,199202,112131,-1,-1,164113,-1,-1,606000,-1,-1,109514,376285,762275,261547,105964,-1,419477,454220,-1,226403,294837,-1,204044,242426,393549,-1,391812,-1,-1,742834,-1,-1,-1,-1,-1,369791,79060,898436,-1,-1,-1,-1,796067,480014,-1,362738,472515,-1,802777,543490,721021,-1,203781,439959,-1,-1,-1,-1,-1,753935,921669,1382,677403,246997,562259,-1,526362,180361,-1,-1,180269,547808,873403,242685,-1,-1,-1,-1,461257,-1,384387,-1,192025,263345,822195,524447,-1,-1,359297,255705,330844,524371,223180,634634,-1,350972,-1,140905,-1,-1,-1,-1,3360,-1,-1,-1,-1,630205,-1,-1,226803,-1,749994,-1,142818,222108,-1,-1,55125,-1,758742,-1,-1,-1,711893,970584,-1,-1,848105,28934,-1,905286,438094,-1,-1,-1,-1,428577,296657,401408,304290,-1,858003,504868,-1,637808,-1,964641,926695,-1,-1,-1,-1,-1,-1,-1,828340,-1,124982,668356,357182,-1,-1,-1,-1,-1,486791,-1,-1,105070,-1,695716,345726,397702,-1,-1,-1,825709,688747,544243,-1,562309,680796,-1,495322,-1,-1,-1,-1,994494,189644,-1,-1,661238,459047,-1,352833,-1,328384,376456,-1,963665,868313,-1,-1,-1,630545,-1,-1,58766,272040,381015,119245,679117,-1,-1,-1,87506,-1,-1,-1,-1,-1,-1,-1,-1,-1,639826,933380,373471,304726,-1,-1,191923,110692,728343,-1,292803,-1,934034,197773,-1,567494,-1,360882,-1,-1,-1,471945,-1,-1,594469,-1,-1,526061,720112,326192,-1,751501,-1,137465,298206,-1,-1,625602,-1,346338,977119,-1,865279,457494,765504,-1,245093,-1,-1,635167,-1,-1,-1,-1,647550,-1,-1,-1,30714,48269,60637,-1,-1,251039,836483,629187,680148,-1,501749,402740,370626,960208,-1,-1,-1,-1,393883,197866,-1,-1,447743,-1,-1,896557,-1,889842,151860,570979,-1,995126,-1,-1,-1,-1,-1,-1,805823,34281,-1,-1,11456,580966,382844,-1,831353,605145,-1,532482,11942,936548,-1,-1,422949,808453,725386,465738,-1,221995,-1,130589,-1,-1,-1,-1,-1,471364,-1,697459,-1,372480,633550,-1,-1,-1,-1,917374,152398,-1,727138,-1,-1,-1,122900,938,913951,-1,-1,287140,394701,110126,-1,468950,-1,-1,-1,-1,306546,-1,-1,433472,416335,140924,176348,-1,742981,441268,-1,-1,-1,285953,58405,657125,-1,-1,-1,-1,497803,356319,-1,-1,-1,922409,346842,-1,-1,-1,-1,657714,-1,865762,991183,645977,740730,-1,585041,613340,812388,124217,748632,93692,305254,778438,968730,-1,678372,22243,555636,-1,81282,-1,-1,555240,956369,-1,-1,-1,-1,-1,692100,822634,453922,-1,60561,-1,-1,455096,-1,576901,317095,296317,388402,-1,-1,-1,-1,1026,261019,757944,470068,9522,935801,59023,-1,-1,-1,-1,387654,541902,21842,393641,783206,760323,-1,539996,157472,-1,-1,-1,795187,868674,-1,-1,-1,-1,-1,13959,-1,-1,835564,-1,-1,477514,-1,981188,-1,682460,-1,387833,-1,-1,467383,930595,-1,316269,415533,856986,-1,-1,94423,829755,-1,468767,820720,383063,356029,561863,-1,117372,-1,781531,532071,436996,-1,-1,-1,314028,614757,-1,-1,-1,-1,130810,394322,-1,899635,-1,-1,-1,808649,255310,940083,-1,-1,-1,462793,832668,99788,-1,570465,-1,-1,-1,-1,-1,75978,275543,-1,941918,-1,47364,217262,879964,187342,-1,839929,312955,858380,313822,23548,-1,-1,-1,109139,-1,-1,-1,615810,165605,157289,871383,-1,-1,-1,-1,-1,770333,-1,121820,457896,6979,-1,-1,-1,-1,376209,-1,-1,-1,340297,662887,-1,805968,-1,280053,886859,-1,579600,-1,-1,999394,297840,644749,353338,-1,-1,-1,834306,-1,-1,545685,-1,814229,717011,232136,-1,815696,110224,-1,425009,-1,999746,-1,645517,450709,-1,625914,846239,810580,505187,-1,627434,-1,686377,615315,-1,219388,139500,-1,-1,605972,44284,-1,5861,643535,-1,532603,-1,221540,-1,-1,-1,566917,62923,448306,276298,966737,228561,999525,-1,231521,-1,265264,-1,-1,-1,210396,-1,-1,-1,826333,-1,472453,316506,-1,497722,982508,-1,523604,-1,-1,-1,511992,408970,-1,649142,511869,288293,792641,-1,-1,-1,-1,298470,-1,517656,886598,893998,-1,422141,-1,-1,-1,-1,-1,-1,84071,-1,768805,255344,613635,-1,-1,903210,-1,-1,-1,-1,146379,-1,4581,-1,722118,2167,-1,571501,-1,-1,432464,-1,332037,650111,600716,-1,-1,-1,-1,786490,-1,-1,-1,-1,267995,80708,-1,-1,664760,773207,-1,681745,-1,640859,233786,-1,-1,-1,506195,979558,366493,238709,-1,-1,-1,13760,128054,933399,-1,284385,576816,-1,228374,-1,-1,-1,-1,118027,643941,-1,-1,692041,935908,10082,856057,-1,917506,-1,-1,439564,-1,282317,-1,348084,-1,331653,-1,581484,149851,101253,914269,288366,874713,562392,-1,718041,-1,-1,702452,856556,856112,-1,-1,-1,945443,563900,-1,-1,-1,-1,-1,508210,43109,798305,-1,-1,863056,-1,591266,677039,916527,-1,437908,829707,-1,-1,-1,-1,-1,954304,-1,206369,757734,739928,703489,-1,830570,169721,-1,-1,-1,515722,242541,104228,672676,-1,-1,55487,972559,-1,119961,581488,755298,366162,903992,-1,998204,-1,-1,480211,886264,-1,631887,-1,-1,700984,227258,880736,90543,856420,504588,-1,370639,312567,-1,-1,-1,-1,-1,-1,-1,-1,479254,-1,71477,-1,159125,727313,-1,-1,-1,-1,8793,824988,-1,658402,-1,-1,-1,882563,-1,650400,763638,-1,-1,974503,963164,-1,271045,-1,-1,982560,-1,374717,891640,977320,246740,-1,712802,912282,-1,96358,540746,-1,181627,-1,72223,-1,533062,-1,-1,-1,426680,519830,315284,25001,429528,467391,521739,85226,752775,409989,-1,328351,-1,-1,-1,-1,-1,747213,-1,-1,560246,909081,718802,376293,-1,841835,-1,-1,-1,276397,-1,-1,-1,-1,-1,926896,107185,855648,9208,333008,828280,330540,-1,13771,-1,8712,130584,461913,-1,-1,-1,220889,428741,129079,479900,-1,-1,-1,-1,-1,-1,230289,-1,-1,772827,-1,928111,-1,-1,209617,-1,29741,-1,806311,-1,487666,-1,614229,-1,800044,590699,775756,-1,-1,274544,-1,-1,-1,-1,916312,992931,608205,-1,-1,481615,585838,-1,932461,-1,605334,-1,693873,-1,-1,-1,510272,183925,-1,897545,722261,70221,-1,586174,-1,7283,669082,658105,2238,242933,426591,-1,-1,-1,-1,22575,-1,-1,-1,193702,-1,89737,679725,386384,152627,-1,291306,409310,-1,517460,112229,614279,401992,-1,-1,-1,987073,397968,166171,516685,723347,-1,-1,190124,-1,350209,329183,-1,-1,-1,603729,-1,-1,-1,-1,574109,-1,-1,990529,-1,428755,320150,300540,-1,930449,-1,-1,-1,-1,600502,-1,32340,-1,676543,717855,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,809373,-1,254318,-1,-1,-1,-1,-1,-1,164382,-1,998677,682634,816700,-1,-1,-1,965659,485548,964989,-1,920358,30100,92499,697634,788427,-1,-1,288026,-1,535767,541015,665600,-1,-1,204027,35331,951306,178642,377323,155081,-1,629899,-1,961522,-1,-1,-1,553383,85432,-1,623243,-1,969436,-1,393950,-1,-1,555047,-1,-1,754663,489653,637447,-1,-1,-1,-1,-1,-1,-1,742895,784483,483269,382200,-1,396517,818623,-1,-1,769915,-1,468073,591935,-1,86790,-1,816063,45097,4296,332139,-1,416442,44106,806173,80910,662480,927919,93959,-1,-1,640376,-1,516503,-1,818510,-1,179713,401679,929738,959701,-1,779125,-1,-1,702684,203273,-1,-1,700409,679721,-1,-1,249706,-1,817261,72569,-1,164096,678169,-1,-1,933145,142591,700884,-1,-1,352342,170152,777777,-1,549148,-1,-1,-1,233567,603480,580333,357150,-1,388686,580027,-1,-1,-1,291505,460782,374508,99244,74705,588353,332408,-1,-1,-1,180855,263140,734610,-1,-1,-1,-1,57878,195480,662644,-1,-1,513536,851820,-1,615382,116618,681563,-1,-1,-1,344016,893923,109601,858819,525709,560497,-1,-1,-1,-1,854265,-1,-1,-1,791962,357140,716315,503358,540301,-1,-1,319185,566852,401632,-1,724294,-1,878827,7963,-1,392653,387889,-1,-1,-1,506224,796842,-1,652018,948790,-1,-1,-1,-1,-1,-1,918729,11222,-1,784664,-1,-1,-1,147703,650480,-1,720444,615010,698459,869330,680702,-1,613383,-1,-1,604708,20581,417328,-1,-1,-1,120768,-1,-1,318885,326867,165737,-1,-1,229859,-1,949954,-1,473822,-1,180542,-1,-1,121400,787712,-1,-1,-1,206648,111350,443957,216810,533921,-1,-1,844844,25430,-1,658085,971752,-1,29660,524903,503604,504905,-1,-1,-1,140425,-1,737240,550309,519269,26411,-1,-1,92656,-1,666188,68976,-1,-1,-1,221369,-1,-1,-1,370522,438887,-1,-1,-1,591672,-1,-1,265883,-1,903716,-1,-1,505286,392927,395221,-1,-1,-1,-1,-1,-1,-1,222210,-1,-1,-1,369886,-1,-1,-1,87719,314317,348166,-1,-1,225722,61904,446476,44263,653816,555337,686916,846265,-1,-1,948039,106139,-1,-1,949895,-1,267310,-1,568307,-1,-1,429465,-1,-1,-1,-1,-1,424766,6207,495256,929111,-1,926423,-1,706508,-1,122520,908566,50261,-1,99645,-1,-1,562905,-1,80263,497644,810354,-1,-1,-1,-1,-1,-1,-1,414670,-1,-1,-1,-1,816958,987542,-1,-1,-1,610449,631114,243515,352051,958286,-1,-1,463672,807189,-1,269387,-1,-1,-1,970420,222221,-1,334424,660603,-1,-1,214804,951963,-1,-1,308257,704080,301509,816773,-1,-1,-1,-1,-1,210119,-1,-1,-1,412899,-1,-1,319135,660721,401513,316220,676762,21038,273634,708004,280654,-1,767501,272632,285007,-1,-1,-1,916957,262001,225153,910931,-1,-1,-1,-1,456720,607388,813788,173360,23749,-1,-1,267008,156869,-1,602628,194488,-1,-1,68092,-1,57698,-1,9544,191022,-1,422746,280123,-1,587489,-1,706470,-1,-1,-1,-1,-1,-1,-1,-1,-1,545902,-1,114269,-1,-1,663306,607092,79543,-1,441587,-1,636707,-1,675341,-1,-1,-1,-1,-1,-1,-1,897965,-1,840362,899907,-1,576580,836210,456018,-1,457898,-1,-1,306694,492219,-1,-1,221341,558383,33421,515723,-1,54789,-1,387448,268452,-1,-1,69842,791368,-1,-1,-1,-1,842071,-1,-1,-1,-1,447885,467596,611372,-1,57788,181054,549232,-1,-1,-1,112386,339077,-1,596780,-1,-1,586791,20380,-1,377915,-1,-1,317403,298126,444295,-1,660358,259228,-1,417540,315797,-1,-1,39604,-1,-1,-1,-1,-1,957307,749972,-1,-1,-1,265134,747712,-1,-1,31267,394816,524055,224080,-1,286292,444951,-1,327552,-1,-1,-1,231948,-1,504933,808490,-1,-1,-1,99062,-1,-1,770126,-1,-1,940910,-1,882219,973790,632491,-1,503213,874784,376623,687169,-1,-1,-1,-1,817664,-1,-1,-1,881798,-1,391847,-1,997057,-1,-1,-1,-1,-1,-1,779876,461480,15125,706358,-1,-1,613801,-1,-1,-1,-1,548612,-1,614412,832436,785627,-1,220719,536105,160073,560848,582796,785372,-1,537730,-1,-1,621579,386345,828870,-1,-1,-1,109628,-1,-1,864368,668553,-1,-1,-1,-1,-1,769811,336015,-1,787832,-1,901171,-1,825654,-1,-1,-1,757094,-1,600623,582423,-1,-1,-1,-1,656145,-1,790326,197948,653414,886574,178822,-1,829042,-1,941778,-1,-1,-1,-1,-1,-1,908211,-1,68345,813827,3990,765913,654742,261851,-1,276754,-1,844612,-1,-1,163637,-1,-1,-1,954938,541021,303027,44268,-1,-1,-1,-1,-1,-1,-1,-1,184832,616523,-1,-1,323827,-1,433790,-1,-1,264596,43910,-1,770706,-1,-1,-1,-1,-1,-1,-1,364919,966119,-1,261880,-1,348689,841744,28059,423019,863308,879561,338481,-1,252681,987739,-1,-1,977153,54962,-1,115372,595404,669298,936,-1,-1,-1,-1,-1,708643,935708,-1,249831,-1,586221,770668,-1,-1,-1,-1,676292,-1,-1,34148,-1,265371,-1,301016,706881,-1,-1,92909,672288,-1,551558,-1,477867,566570,765066,-1,17223,-1,432885,179615,-1,-1,523899,179572,907226,9017,-1,23227,35343,243824,-1,-1,-1,465854,-1,-1,445779,232412,-1,-1,313658,-1,-1,339999,-1,-1,-1,-1,-1,772857,792190,-1,366975,-1,433677,-1,-1,-1,888599,-1,-1,957705,617180,635095,735070,259763,-1,122680,-1,139070,473163,-1,-1,853239,761113,923548,344914,-1,335261,-1,774624,-1,-1,429945,13981,107697,793079,-1,167939,112228,642612,-1,-1,-1,-1,605444,-1,-1,-1,874341,-1,-1,415701,568084,-1,820557,-1,-1,-1,769416,-1,-1,37620,-1,-1,-1,134248,-1,164649,-1,262641,-1,-1,979018,-1,172428,914799,313811,958129,-1,-1,315223,-1,76137,754486,82440,275603,-1,-1,-1,553951,992992,437759,-1,754599,117656,-1,-1,810180,436749,218893,558425,-1,-1,-1,-1,-1,517988,235242,174769,894687,376891,-1,581971,-1,216989,-1,-1,-1,949937,984903,34813,242713,-1,176637,367003,979664,-1,269887,375194,212164,772588,625842,-1,303348,594398,436914,581446,-1,722179,-1,994818,948713,608133,293799,447320,161278,94136,-1,898244,887372,-1,-1,109173,267537,-1,-1,-1,810915,-1,-1,-1,527200,-1,-1,500810,-1,303228,330976,194438,423718,-1,-1,-1,-1,-1,-1,761555,108182,157331,399531,380264,577266,-1,938357,979109,285967,508798,-1,892139,571425,-1,-1,-1,-1,360109,-1,-1,62006,-1,-1,241105,-1,-1,-1,766868,919205,-1,-1,-1,-1,-1,-1,740865,423897,530912,-1,304071,-1,173485,568252,931501,446324,395566,-1,-1,-1,-1,613958,141166,640435,-1,-1,-1,-1,757387,-1,-1,-1,860765,-1,-1,-1,-1,-1,-1,-1,-1,745734,998336,895181,-1,-1,889203,-1,350776,-1,252399,-1,-1,476775,973376,120576,355298,359627,482555,457918,-1,672755,987901,-1,-1,-1,-1,-1,869946,751375,-1,-1,709033,102321,-1,-1,773011,-1,557204,162515,750448,-1,258654,-1,-1,-1,-1,-1,393130,-1,-1,-1,-1,-1,-1,503401,648824,244741,513979,-1,-1,-1,682197,-1,346138,-1,521437,228400,-1,-1,575780,125729,261305,-1,249115,-1,-1,-1,-1,-1,452999,-1,119635,-1,-1,489208,-1,160851,-1,409205,902925,-1,174647,-1,-1,714592,-1,-1,-1,-1,992913,194611,397573,-1,788249,482173,-1,-1,-1,770179,465381,-1,-1,-1,847463,270725,509179,935177,-1,-1,-1,108376,-1,-1,-1,620363,621023,-1,-1,41712,924378,590314,-1,312129,-1,-1,-1,-1,315268,-1,-1,-1,394359,748652,499163,759738,-1,348590,-1,-1,-1,85548,-1,-1,559691,59619,544807,679635,588879,810803,-1,45258,-1,-1,-1,-1,565183,825513,920997,-1,-1,359615,929026,-1,980570,-1,604911,-1,-1,-1,296088,-1,55251,647012,-1,259276,-1,-1,-1,640691,-1,-1,76556,-1,-1,220816,922933,-1,901838,-1,-1,-1,605482,-1,796873,154986,-1,-1,-1,502244,-1,-1,955492,891609,-1,777296,-1,-1,-1,867442,-1,-1,345089,429282,-1,-1,-1,839832,-1,-1,-1,-1,583766,122270,-1,-1,221219,788128,344702,-1,-1,466477,-1,798631,396614,-1,-1,31634,355081,-1,-1,-1,-1,229366,306195,223521,65480,594078,-1,910577,117863,-1,-1,-1,-1,-1,-1,210130,629608,679878,-1,-1,430939,287251,-1,-1,334585,892597,-1,331463,124156,899397,438864,161622,-1,914222,-1,811469,-1,159878,579752,818025,-1,-1,211988,141537,-1,887234,428079,979796,-1,-1,294120,826954,726744,-1,784213,-1,50638,964124,443970,36073,467801,-1,581266,841387,-1,118339,-1,-1,619634,-1,688338,32465,-1,755072,559167,300538,-1,-1,-1,170623,-1,-1,404523,655568,-1,-1,169844,42761,-1,937198,-1,-1,263316,-1,-1,-1,848139,-1,-1,-1,-1,83717,255174,889773,-1,855625,-1,-1,-1,-1,863011,104227,159201,847107,159042,-1,-1,526641,39227,-1,443399,-1,292422,-1,767484,342424,-1,-1,-1,-1,417256,582243,116242,-1,-1,-1,-1,-1,463493,-1,932612,891446,-1,864460,-1,688737,-1,597576,34477,815406,249331,-1,-1,232181,712458,-1,725450,834314,-1,-1,392378,-1,143884,-1,-1,4870,-1,-1,933239,506139,-1,-1,422832,-1,-1,-1,-1,-1,-1,50567,522428,125254,321398,320047,-1,-1,649799,-1,-1,-1,122898,-1,-1,-1,955228,597234,471594,538558,-1,-1,815154,-1,775235,234168,-1,487796,-1,443511,-1,-1,-1,23155,-1,897533,167147,8635,940572,360599,757376,276184,497310,-1,-1,-1,-1,-1,-1,-1,630083,-1,-1,-1,422962,-1,360683,415799,-1,625032,-1,-1,-1,-1,381257,311606,-1,-1,580347,-1,-1,592971,-1,-1,358871,863612,537637,115334,465087,-1,-1,-1,-1,902511,-1,294664,-1,-1,-1,929636,-1,-1,-1,-1,505768,338625,-1,-1,-1,383880,-1,695900,-1,562213,-1,594709,-1,-1,226553,-1,688208,323359,745705,-1,-1,-1,-1,-1,576593,348838,994438,145955,-1,178308,-1,-1,991180,743237,-1,598152,247363,331749,-1,-1,-1,-1,864982,110313,-1,-1,-1,-1,96226,760186,488031,-1,-1,241439,-1,-1,173195,-1,527381,710696,888053,85989,-1,590988,855211,-1,-1,319938,-1,177797,-1,-1,610910,-1,141344,885654,837378,19058,-1,-1,919695,522340,211896,561301,543802,277134,-1,-1,-1,492495,-1,474605,-1,188317,-1,-1,455559,-1,-1,152819,591420,856552,356056,713311,-1,899607,-1,-1,-1,-1,-1,516986,-1,106679,415862,-1,116470,-1,431475,-1,288770,507212,-1,-1,-1,403839,102203,116041,663560,-1,-1,852280,972556,-1,119421,391188,194965,-1,847298,178783,808027,451709,-1,-1,-1,771883,221557,889132,-1,-1,-1,-1,725782,-1,620182,223065,-1,-1,523317,733149,-1,-1,96497,-1,705289,100507,841323,999453,-1,608915,801821,229913,504881,815745,817789,-1,911379,697997,-1,-1,-1,234543,-1,721439,-1,64364,-1,-1,-1,449569,499985,-1,104293,-1,-1,983720,-1,746366,34607,-1,571859,-1,-1,911472,-1,911672,-1,67886,-1,240770,444321,-1,-1,182021,901023,-1,-1,-1,699951,787499,-1,174781,-1,920486,-1,-1,-1,197452,-1,-1,-1,-1,-1,-1,31904,668700,-1,363409,-1,346605,330687,846748,-1,-1,-1,857253,-1,247224,553519,635765,-1,-1,-1,538113,811572,780147,-1,251883,958892,358652,241343,444414,-1,343584,-1,-1,129593,846294,-1,934009,-1,-1,-1,-1,15032,569822,-1,-1,114923,-1,928771,899487,765831,434101,70487,-1,292377,-1,-1,296645,-1,297347,-1,334380,-1,496350,-1,572015,50500,106684,943653,-1,396479,-1,-1,399126,-1,-1,472769,-1,884540,-1,28294,-1,-1,-1,381522,753265,464710,-1,187936,951553,830932,-1,-1,765474,260766,-1,691111,357035,-1,578028,76814,-1,-1,103213,-1,207119,553701,126292,-1,-1,604095,-1,-1,-1,211804,304358,858094,612126,-1,-1,237491,-1,83885,49249,528558,914056,-1,833041,-1,877981,734746,-1,-1,-1,260347,-1,-1,198257,98396,-1,-1,592997,-1,-1,310193,436212,-1,104712,-1,-1,-1,-1,610118,-1,-1,-1,461982,-1,415670,218010,817948,445705,-1,-1,-1,-1,-1,-1,-1,554681,170424,464003,-1,552494,110094,-1,695322,433112,-1,613043,-1,193551,527822,-1,-1,-1,290823,618511,447406,-1,-1,281513,-1,179531,-1,501974,126549,-1,108174,-1,-1,561943,685148,-1,860218,634038,-1,-1,829691,-1,-1,-1,-1,754522,462281,339062,-1,-1,-1,617485,60032,37845,50398,-1,-1,-1,149836,-1,-1,967689,-1,802324,906032,-1,-1,595358,148839,-1,-1,883423,481681,571266,-1,-1,352194,-1,-1,-1,-1,773275,699833,332705,-1,-1,529248,-1,-1,-1,-1,-1,-1,-1,-1,-1,181434,-1,75025,-1,854035,-1,254761,-1,-1,-1,884916,159175,-1,-1,305272,229382,796623,-1,-1,241793,190241,-1,843671,852673,53000,921304,-1,687406,-1,445629,-1,857075,289085,312108,107226,351572,-1,693157,592921,564805,626821,-1,563580,770880,63647,-1,-1,438750,-1,-1,155375,-1,506036,158491,-1,-1,-1,-1,781260,700481,-1,370744,335548,-1,57238,-1,-1,990304,94867,740486,-1,-1,483693,265247,-1,-1,-1,-1,393110,-1,-1,-1,680049,-1,92746,544197,-1,780975,-1,-1,976216,-1,-1,-1,246419,-1,-1,-1,190975,-1,262614,500977,158221,-1,-1,-1,-1,898201,-1,792250,620305,845720,511777,-1,304784,-1,5030,590774,925922,676261,865240,-1,606176,-1,-1,-1,414965,-1,710932,-1,740047,16087,-1,-1,-1,-1,-1,7452,892953,817691,-1,-1,458777,974291,-1,-1,-1,956639,-1,-1,807681,-1,-1,-1,-1,10805,971582,-1,-1,-1,955634,-1,-1,-1,-1,-1,35417,-1,-1,333880,579520,697305,416570,356685,312344,-1,-1,677031,-1,-1,335038,-1,5658,913537,887427,-1,-1,-1,-1,-1,816601,782988,240086,610476,160819,-1,-1,743505,118871,258533,-1,-1,-1,328001,373303,961323,-1,812123,289810,431824,181832,-1,-1,-1,-1,-1,482981,490028,-1,580636,56267,450905,401581,494814,-1,820284,-1,-1,-1,861615,-1,860665,135840,63458,681124,406119,-1,-1,116048,-1,284477,275652,-1,611954,898409,400171,-1,388517,672495,-1,669185,679632,-1,773781,881871,-1,776651,-1,560222,365022,-1,-1,287879,-1,-1,640119,949113,-1,-1,-1,428998,-1,723956,-1,-1,-1,447429,899244,143706,-1,547491,739102,458053,93482,-1,153914,2470,-1,-1,-1,827454,-1,524692,270837,368642,-1,-1,-1,-1,-1,-1,347533,-1,286503,73154,-1,-1,-1,-1,-1,-1,776513,761951,-1,-1,-1,718471,740945,493408,-1,454467,897819,29509,-1,-1,707106,140573,770617,748280,662551,-1,-1,-1,389858,-1,-1,-1,371525,-1,292078,-1,-1,-1,176277,-1,415000,397727,271239,-1,-1,-1,373960,-1,955767,-1,48625,240214,197806,387579,431681,-1,-1,-1,-1,-1,-1,654174,28707,-1,328178,596101,679544,820630,-1,459378,559943,800738,-1,56845,466897,-1,-1,293760,369587,800415,-1,547494,-1,63860,36135,-1,-1,817758,681610,267200,431997,-1,53122,-1,-1,-1,-1,625336,-1,789886,-1,-1,-1,-1,-1,-1,-1,303629,-1,288350,-1,-1,-1,610497,-1,485407,-1,-1,511456,615294,347091,-1,591126,-1,928375,664275,-1,285484,972373,-1,-1,-1,-1,44434,-1,54269,726111,211742,753644,-1,85729,62963,-1,73800,741470,292823,-1,-1,-1,306058,262850,541983,25043,906107,-1,45587,-1,881077,-1,292986,-1,283482,-1,445490,754891,39399,250017,137015,-1,-1,661192,221999,476312,-1,442346,-1,-1,630634,701402,-1,-1,-1,-1,-1,-1,-1,-1,933323,302495,817977,68855,288466,875193,808707,-1,545920,-1,723217,295064,-1,955196,-1,-1,72102,-1,482657,-1,803385,726267,133811,-1,537475,-1,840464,701232,-1,-1,-1,-1,-1,546522,-1,588465,-1,-1,-1,-1,-1,-1,468446,-1,642911,-1,332496,-1,68378,707873,-1,-1,-1,-1,408816,133836,635713,-1,739164,-1,-1,-1,-1,-1,824738,797795,-1,-1,865908,-1,692673,707491,835873,797180,711550,-1,-1,686240,-1,-1,-1,-1,671535,807685,-1,727379,248555,536769,-1,-1,426086,-1,-1,-1,153806,-1,-1,462923,-1,425039,489473,-1,-1,-1,-1,-1,452525,-1,212888,464032,747955,-1,-1,-1,-1,643105,595700,129377,926389,949554,799774,777297,115809,692203,-1,130508,845151,-1,-1,919750,-1,-1,363727,-1,-1,575409,701036,178807,-1,964891,331736,-1,-1,-1,-1,-1,-1,-1,140266,916778,-1,-1,777254,638116,687894,367116,-1,-1,-1,409464,-1,-1,832431,-1,236264,166317,349982,139023,695799,-1,171712,-1,579689,932538,-1,570199,-1,168200,-1,974655,685526,-1,5642,-1,470512,179290,-1,990628,-1,-1,-1,30681,175016,-1,93485,-1,-1,310397,521997,639986,-1,-1,32059,-1,309253,949529,-1,979153,898539,-1,-1,-1,852281,-1,554675,-1,-1,-1,146618,841381,339998,-1,-1,147352,729282,195649,-1,818858,-1,-1,-1,8812,145771,-1,-1,903329,121592,433809,-1,119933,-1,296150,-1,352011,-1,-1,372741,-1,-1,495921,-1,-1,993370,-1,-1,-1,959278,-1,61667,605809,-1,787446,-1,-1,-1,-1,781188,-1,-1,-1,454669,-1,647544,423391,193452,570898,-1,-1,-1,720092,-1,750048,-1,-1,-1,444907,-1,161228,850338,-1,576872,-1,890416,-1,-1,588768,-1,57618,601984,109434,697650,-1,-1,455682,-1,-1,-1,509885,-1,-1,557979,-1,-1,122056,-1,-1,-1,-1,564942,-1,777832,683978,549171,-1,753034,-1,-1,817797,88643,-1,96532,-1,-1,-1,609920,625790,-1,875482,-1,-1,-1,765530,-1,-1,-1,-1,96567,902453,-1,-1,-1,298755,-1,-1,972291,-1,-1,880173,-1,596079,-1,-1,278346,-1,-1,-1,362624,-1,-1,-1,-1,-1,667937,-1,-1,-1,719483,-1,-1,138848,568070,-1,-1,-1,107594,443093,855047,880909,145688,988666,670729,-1,744393,343090,838949,191108,-1,-1,-1,-1,-1,-1,-1,-1,189774,-1,262768,147725,-1,957570,262990,471337,-1,682207,784643,-1,497379,-1,-1,560167,207842,490072,-1,930098,-1,-1,801845,562712,201101,-1,638289,934507,830223,-1,-1,-1,786609,-1,-1,-1,818792,313772,-1,-1,-1,-1,84258,-1,563771,628050,504778,355448,306973,-1,563652,-1,-1,-1,-1,474956,443226,543837,863122,626551,-1,45884,-1,-1,88063,885942,-1,567440,-1,290401,-1,-1,667088,262027,-1,-1,66208,-1,616430,357379,310690,-1,-1,571848,732276,772327,-1,196263,143079,-1,835923,723557,-1,865268,-1,-1,510102,-1,900179,-1,502475,-1,-1,120755,-1,-1,-1,-1,979408,-1,892370,-1,840777,224318,-1,-1,-1,175258,601947,-1,311862,-1,-1,-1,874766,463715,-1,-1,452842,-1,-1,873214,639321,-1,505073,-1,818022,-1,257730,652152,524084,-1,-1,633082,845807,382832,-1,-1,745300,-1,-1,-1,-1,-1,614432,873207,381214,-1,893396,852805,-1,-1,291181,-1,-1,688489,422440,214634,-1,799297,-1,628581,-1,362410,683219,-1,703249,-1,-1,-1,-1,951141,889911,-1,-1,926093,436264,137478,400724,-1,739658,311773,796624,-1,174425,935589,-1,-1,575717,-1,305399,-1,30794,754311,156646,203613,-1,102210,688073,-1,983910,447291,191006,-1,564173,-1,991641,-1,-1,-1,176253,236889,762822,-1,-1,561787,-1,561451,-1,-1,677800,-1,-1,-1,982638,680147,362472,-1,58936,-1,860197,579196,-1,-1,9675,-1,-1,-1,-1,247600,548156,28997,-1,903976,56226,-1,679705,-1,782312,-1,688835,-1,475738,252656,-1,-1,-1,-1,112042,197186,-1,-1,-1,973966,-1,457038,61241,-1,962536,-1,149756,-1,-1,-1,374460,-1,-1,-1,698256,-1,143847,-1,154578,-1,917250,-1,-1,-1,-1,-1,-1,-1,700137,-1,-1,329403,803290,-1,366712,743280,57815,-1,-1,636710,-1,-1,-1,262526,859621,595352,-1,-1,-1,782056,702058,794345,440951,852550,988413,119509,577341,456236,136144,860062,-1,995338,-1,636663,257140,-1,202969,-1,978483,785009,-1,152390,733490,-1,971067,678233,-1,-1,-1,942553,728579,-1,-1,-1,-1,-1,40900,-1,637504,-1,321145,875590,691875,-1,-1,-1,659264,16795,-1,-1,-1,695608,229543,-1,345668,-1,873298,572743,992040,-1,-1,-1,157560,109763,352129,857452,572322,-1,256125,-1,908924,-1,101854,449381,-1,853192,510392,726200,682707,246196,592838,630161,414061,-1,113068,-1,-1,135159,823424,688098,-1,-1,-1,-1,-1,534302,886961,264471,-1,-1,620733,730729,-1,348718,73050,-1,-1,-1,577672,-1,871733,518662,325820,367803,-1,-1,-1,-1,-1,822711,-1,-1,-1,133376,-1,-1,357849,-1,-1,-1,953545,-1,-1,716582,-1,637422,922107,-1,-1,-1,-1,826788,-1,-1,-1,-1,-1,230288,252062,-1,-1,-1,-1,-1,-1,43925,-1,-1,-1,167023,-1,-1,156604,-1,485854,458918,-1,-1,837492,-1,520557,285054,-1,-1,486646,148482,532727,-1,29333,591696,-1,296853,927639,-1,-1,-1,201019,425980,203130,402660,311042,422725,18457,375365,314536,688298,-1,314443,866891,-1,255171,849605,-1,879857,593108,412559,744077,272991,967127,385504,-1,-1,64178,-1,157711,742565,943431,438025,394021,-1,-1,378601,-1,-1,-1,-1,-1,455210,440648,303,873932,486598,-1,567724,446106,-1,736635,-1,-1,-1,-1,956059,545382,-1,-1,-1,163378,-1,190704,846932,242345,89764,238406,356420,567729,-1,207509,491725,256198,948900,88231,-1,-1,952005,-1,985739,-1,-1,-1,-1,-1,-1,799500,598814,335099,-1,973392,-1,-1,-1,947163,666147,193813,579016,-1,698963,-1,-1,-1,228548,461019,678804,182519,-1,-1,399547,-1,-1,607295,-1,-1,64828,694575,-1,-1,62832,-1,1128,481482,-1,-1,994246,-1,-1,-1,740844,767886,337698,394269,-1,-1,-1,816459,331505,166694,-1,-1,-1,120338,28088,-1,35999,43329,-1,337603,319786,258032,540142,822609,71126,805176,307430,108849,875460,164587,-1,170959,-1,-1,49273,-1,353654,-1,-1,-1,191255,-1,-1,8194,492206,-1,-1,625925,-1,70813,857389,-1,506672,-1,-1,-1,36102,-1,973814,-1,-1,839418,928495,-1,-1,980362,-1,-1,-1,-1,-1,-1,-1,-1,550294,-1,-1,-1,705998,-1,-1,-1,-1,-1,527167,-1,-1,-1,701982,-1,833342,354882,814031,-1,245859,-1,883600,-1,-1,-1,359760,-1,647842,832152,-1,821579,-1,-1,548322,775535,-1,-1,-1,692236,-1,265641,476484,-1,-1,-1,-1,77427,269713,-1,-1,-1,-1,192942,83652,-1,914234,320391,30024,732041,135260,-1,985532,664099,-1,243533,-1,800378,679915,-1,-1,-1,-1,-1,-1,-1,-1,775128,580542,-1,413328,-1,940946,256671,-1,601021,-1,-1,909289,-1,93287,34940,992433,612150,-1,350713,627753,-1,-1,757704,-1,-1,-1,462688,-1,-1,128892,-1,972531,-1,-1,-1,-1,-1,842310,349990,-1,-1,-1,549580,532025,853470,883655,-1,586920,-1,211175,193849,-1,653336,961876,-1,920027,-1,-1,-1,-1,507049,296644,32476,-1,-1,-1,691769,663283,601576,510584,937847,965206,322389,27533,-1,876749,-1,-1,-1,370753,-1,-1,-1,553238,-1,747098,503038,148967,175466,751899,378610,-1,-1,-1,-1,-1,-1,-1,-1,542808,-1,-1,168469,-1,-1,-1,-1,-1,-1,-1,-1,-1,788002,5076,81475,-1,708744,746354,826200,-1,689483,524789,911749,302584,-1,-1,507037,-1,908049,372606,-1,427158,-1,-1,507472,-1,-1,-1,-1,-1,-1,-1,-1,597410,331910,823880,-1,-1,471356,278192,966783,9577,-1,-1,196520,-1,700679,-1,-1,-1,-1,276405,-1,-1,-1,954819,-1,692244,-1,532342,730848,-1,-1,13404,577290,3237,316025,-1,-1,226708,-1,-1,-1,135755,697236,140902,-1,626099,519774,-1,918641,-1,754469,-1,-1,-1,798817,-1,260737,-1,-1,470583,949248,-1,144030,638174,801117,-1,-1,378455,-1,705411,964849,626380,812783,271411,-1,-1,-1,-1,456188,-1,-1,-1,-1,222103,134130,-1,-1,328354,686817,-1,-1,-1,-1,-1,-1,-1,-1,-1,306712,90432,439149,739843,-1,108258,-1,-1,-1,923655,7552,591743,765515,-1,817822,-1,-1,598671,-1,-1,-1,800735,-1,-1,719563,712071,184085,85892,467665,-1,-1,-1,162681,-1,463041,912601,174373,-1,355155,-1,-1,65196,-1,190748,948736,-1,170030,53475,-1,-1,-1,803230,644988,-1,647181,-1,954731,640447,-1,-1,358037,-1,877170,-1,29777,-1,802465,-1,418019,-1,-1,165820,648513,136053,-1,-1,-1,89374,-1,-1,-1,-1,-1,807156,-1,305699,-1,-1,672781,725096,-1,109744,-1,-1,713490,-1,-1,-1,843029,-1,-1,-1,-1,483361,513833,216674,-1,-1,103924,-1,-1,-1,-1,-1,-1,337069,316168,260487,325579,782908,474583,-1,-1,901916,270408,-1,-1,-1,397587,-1,-1,318322,-1,-1,753256,-1,759094,-1,917966,-1,560413,286401,-1,-1,105409,195244,-1,55134,992077,834273,-1,249908,-1,787127,275991,-1,-1,952714,299058,-1,-1,803522,-1,-1,620813,755558,985160,-1,999108,824457,-1,5460,974593,849201,730182,576515,610548,623404,-1,-1,-1,-1,189100,-1,717622,524927,37858,-1,-1,891455,-1,228111,-1,657929,-1,329381,408852,50503,-1,-1,-1,484367,677188,871939,573040,107050,-1,-1,874684,-1,-1,603051,349472,864960,-1,613302,728098,43720,-1,-1,280080,169984,-1,610422,389027,66967,567859,-1,-1,353321,-1,-1,-1,-1,361554,-1,545358,816796,983529,138200,-1,105120,-1,-1,421022,874331,431382,-1,666956,9115,-1,987803,-1,380268,-1,223335,-1,-1,-1,-1,116587,127375,726228,336668,-1,-1,508602,-1,928071,-1,202140,637530,-1,-1,160690,85549,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,198971,485260,-1,-1,745199,-1,642487,-1,-1,386766,-1,12585,-1,375849,657259,-1,-1,-1,298706,289118,26453,-1,692605,-1,-1,-1,20949,-1,-1,289117,-1,763844,420126,-1,809734,76899,232113,-1,997971,108584,637652,74944,40926,-1,-1,-1,-1,763627,364806,-1,978004,525729,21498,-1,-1,582099,539623,-1,461388,-1,-1,916769,-1,623032,-1,524437,248970,-1,610205,734455,482359,85930,817312,297903,660381,-1,-1,627366,-1,-1,378839,-1,-1,-1,321525,607459,-1,18440,154505,999887,666924,-1,158128,-1,777015,-1,705400,-1,-1,916281,-1,-1,-1,484178,-1,314767,662811,244117,571523,888747,504791,-1,774991,961304,803207,-1,-1,39254,-1,-1,723518,-1,930396,43986,738972,-1,-1,705293,-1,-1,-1,-1,939795,-1,-1,-1,-1,-1,-1,942282,104604,418978,-1,-1,-1,-1,635408,993445,-1,-1,-1,-1,363348,-1,-1,-1,83478,612622,593295,61080,-1,177361,-1,-1,-1,661346,261858,-1,-1,-1,849329,146701,-1,-1,-1,-1,978576,-1,-1,440030,270,367998,-1,273944,324284,-1,-1,20170,-1,-1,965317,103152,-1,652679,588520,-1,672782,580545,-1,667790,393334,-1,-1,320119,-1,895228,-1,-1,-1,229500,792115,306143,-1,214367,829750,631493,770345,-1,-1,-1,132504,962968,-1,-1,-1,-1,299326,327181,-1,540104,-1,320924,516658,-1,224934,534567,-1,-1,-1,421227,-1,384055,712069,601453,-1,-1,146652,894770,198056,-1,694537,133915,421557,-1,-1,399387,863552,907350,76713,-1,-1,-1,-1,945513,-1,763817,-1,196209,193444,837706,-1,710892,282257,-1,-1,-1,-1,-1,81219,-1,-1,247206,-1,747415,635848,7436,210597,231320,295154,721023,975570,-1,-1,942210,331713,-1,437565,-1,-1,-1,118500,51668,-1,538340,576978,-1,80875,-1,88903,140954,-1,557358,-1,-1,505605,-1,422795,810718,722492,723765,458477,-1,-1,-1,-1,192612,87515,-1,-1,-1,-1,249773,-1,-1,-1,575035,-1,-1,706564,-1,-1,562506,244055,-1,-1,-1,49779,339244,-1,-1,-1,480107,-1,-1,-1,845393,95241,-1,-1,-1,-1,696229,-1,-1,-1,483095,362574,592655,688060,774997,868394,933230,648059,-1,-1,-1,-1,-1,-1,-1,308518,-1,-1,518550,366594,926634,428141,532687,861814,209449,-1,680253,-1,640523,-1,618705,339033,-1,937619,140270,667820,-1,368986,-1,-1,987571,-1,333016,-1,-1,-1,971265,-1,-1,-1,-1,-1,-1,-1,-1,-1,433874,-1,540088,-1,-1,-1,820931,-1,563746,-1,-1,493501,-1,-1,325253,-1,-1,757301,676013,-1,-1,-1,729457,-1,519108,743203,638626,960817,613228,701368,-1,-1,-1,-1,-1,71647,167543,444980,-1,-1,326817,-1,-1,-1,297601,-1,-1,838084,437745,-1,-1,-1,-1,-1,-1,871517,-1,-1,35615,-1,-1,-1,-1,529394,-1,-1,644946,-1,-1,-1,517184,484447,814920,-1,-1,799376,-1,-1,846962,987151,-1,831091,-1,842908,468644,-1,747801,-1,-1,-1,-1,-1,-1,-1,-1,-1,435468,488137,-1,819807,836248,27125,-1,665478,-1,-1,-1,798088,-1,-1,-1,627867,531562,-1,-1,841272,-1,-1,-1,-1,337177,-1,-1,411712,745313,-1,-1,-1,509890,-1,784364,-1,-1,-1,-1,-1,-1,-1,140062,-1,-1,755923,899627,924630,-1,597125,123930,547662,224530,-1,296868,-1,552081,883327,881030,757338,-1,237213,-1,354039,736202,813420,477962,883722,-1,309616,-1,543639,689628,506594,182732,-1,-1,419480,565153,-1,-1,-1,-1,-1,446067,826356,374147,-1,281027,38397,-1,618995,720488,-1,459932,-1,434853,314850,-1,42445,-1,-1,-1,-1,368612,-1,745005,237412,759446,-1,-1,104600,-1,635145,706335,-1,579711,265090,-1,804596,165132,256944,1866,-1,59001,646418,749779,150752,875737,63479,-1,-1,-1,973682,-1,-1,429635,-1,597482,249986,922419,226937,628775,965631,-1,921000,-1,-1,-1,-1,2314,-1,165315,699507,-1,-1,-1,333278,62586,616378,-1,-1,-1,726933,-1,121195,-1,-1,598870,427087,40731,962612,362202,955584,-1,71071,-1,-1,-1,634410,-1,692092,-1,650752,961752,168101,805871,462066,-1,205077,-1,425900,360901,-1,756418,273363,778905,19037,-1,-1,-1,-1,862468,768551,900095,-1,-1,-1,-1,546915,-1,-1,-1,-1,-1,183319,-1,-1,916644,-1,278763,758309,383421,-1,-1,-1,434188,-1,366322,978742,-1,57109,-1,212434,862226,944866,11143,422749,-1,-1,-1,137813,853338,-1,719267,432129,-1,546312,186786,260465,-1,425967,-1,-1,-1,-1,783134,169060,-1,614686,-1,-1,-1,66683,-1,-1,-1,-1,102169,-1,-1,-1,637921,-1,160513,-1,-1,352261,-1,304108,-1,-1,-1,870863,-1,878591,-1,123908,-1,-1,-1,-1,-1,-1,886234,-1,-1,-1,457977,28279,-1,976505,152127,831801,-1,201782,514350,292881,343811,840564,512842,909881,-1,-1,643973,378482,663836,102666,659649,909607,705054,585984,306950,250371,-1,983518,-1,481688,380580,645573,830,-1,203501,-1,100229,-1,-1,-1,-1,-1,-1,-1,475565,-1,982123,-1,199999,-1,-1,-1,-1,-1,-1,942634,911034,8158,-1,-1,312768,-1,-1,-1,-1,207489,897030,-1,671279,516507,994044,748306,435397,792056,328529,-1,-1,-1,-1,-1,52252,308778,244990,661833,-1,519706,-1,186208,14897,-1,286996,767875,-1,-1,-1,-1,554433,25666,-1,795562,-1,-1,-1,-1,917736,930612,674994,233104,183045,950082,297897,-1,653001,-1,361829,804067,725630,-1,-1,-1,-1,-1,-1,171442,-1,650085,413384,172135,-1,987193,460992,-1,322018,286619,-1,655383,-1,-1,-1,-1,488733,-1,-1,194127,665455,95665,1622,-1,159017,303165,240056,-1,274430,-1,-1,767665,304193,980855,452583,996966,-1,-1,-1,687249,587980,536029,581916,-1,348022,824679,-1,-1,856042,-1,-1,829304,678709,815776,545222,956951,-1,31347,721659,-1,-1,-1,670588,361694,-1,971384,805011,146552,578001,978861,397141,-1,-1,822173,-1,720196,-1,808069,-1,793912,191198,182385,398310,459682,-1,463905,270953,-1,381771,-1,-1,250463,-1,857279,-1,172771,328411,-1,-1,-1,952281,-1,-1,780489,787312,-1,564199,102079,-1,-1,-1,-1,-1,137698,506120,-1,-1,216030,567006,-1,798348,66857,-1,763124,-1,82595,-1,866621,-1,-1,707121,-1,541308,147396,-1,-1,-1,157007,391121,602581,-1,600989,144741,557949,697544,-1,28445,539826,228606,674466,499595,884505,-1,187906,548798,-1,-1,817454,-1,635040,-1,448250,408505,-1,-1,-1,577535,-1,897299,-1,175508,-1,-1,668219,888544,-1,385932,-1,-1,-1,-1,734282,-1,764602,-1,-1,882410,-1,821596,-1,-1,-1,90335,-1,-1,168675,608353,590850,220711,708861,912113,517449,931637,-1,444648,163301,815183,-1,-1,320143,-1,-1,-1,-1,910025,-1,404442,-1,-1,-1,-1,-1,373306,-1,59523,454465,-1,-1,334374,-1,817819,-1,315757,-1,555640,200768,643774,659463,-1,584670,-1,922105,941272,-1,-1,696226,211932,-1,-1,587276,-1,-1,-1,191430,464576,-1,-1,-1,273012,836899,-1,-1,-1,181768,956190,206038,996212,899881,744107,366398,-1,-1,108014,-1,-1,921166,98122,-1,-1,-1,455735,868426,-1,-1,-1,-1,-1,-1,-1,-1,-1,695348,-1,-1,980765,-1,-1,776171,-1,-1,304008,-1,-1,-1,275234,459140,430351,-1,-1,485868,-1,90957,-1,-1,804675,775319,-1,583022,773629,693436,-1,50649,-1,867831,-1,118693,-1,-1,-1,-1,-1,-1,-1,900792,-1,-1,122592,574586,-1,-1,619485,-1,240848,-1,920591,-1,993285,549571,647877,-1,736567,-1,-1,767778,228287,-1,969611,-1,803864,-1,-1,-1,360948,663856,-1,438347,620755,-1,-1,145418,342137,-1,764937,-1,39890,409799,-1,127905,-1,561195,919371,-1,320421,226147,760692,156031,-1,-1,622842,149254,-1,-1,-1,798856,-1,-1,764283,-1,-1,850583,236483,419928,996645,404328,592554,-1,259111,14147,478188,703717,-1,665628,-1,851629,-1,734994,729434,-1,-1,371090,-1,51008,-1,-1,-1,218839,-1,-1,639427,-1,715906,282950,-1,535338,-1,-1,-1,-1,973514,-1,547596,-1,261554,301656,-1,-1,-1,-1,56921,-1,750557,-1,-1,71888,-1,-1,-1,-1,495013,-1,-1,614382,545294,335329,899660,96264,112112,-1,-1,511051,325893,928079,-1,117947,742983,-1,837912,-1,-1,672848,-1,415045,-1,632372,72488,-1,439296,-1,-1,279411,138029,516625,728760,-1,-1,-1,-1,-1,885304,-1,271990,-1,875191,516911,-1,-1,-1,-1,-1,610895,786573,824461,41418,285465,695187,-1,-1,601386,769630,-1,-1,-1,-1,722785,-1,148438,103497,-1,-1,-1,-1,-1,681275,-1,518954,-1,-1,404412,53330,-1,-1,-1,97868,396244,816997,788408,803711,-1,662828,-1,483302,612597,899747,-1,-1,784202,669856,871861,571307,18418,-1,-1,492069,-1,608663,547411,875902,282005,-1,-1,-1,-1,-1,575486,425641,-1,-1,-1,-1,993491,-1,774085,655148,673932,-1,-1,-1,273928,-1,-1,145136,101222,-1,478794,-1,-1,519769,-1,610668,-1,288822,-1,17317,642018,106097,644457,612619,281526,-1,45348,-1,-1,-1,187818,992922,-1,-1,-1,894917,859641,-1,-1,-1,-1,775623,-1,870093,-1,-1,816444,-1,-1,460665,-1,-1,-1,970350,-1,-1,225682,-1,-1,772814,-1,668611,-1,256910,740753,113278,-1,-1,294005,730843,-1,-1,112563,767861,769749,-1,-1,-1,611485,-1,871104,-1,-1,545498,420285,-1,-1,106607,768505,-1,-1,-1,-1,144762,-1,-1,-1,-1,-1,-1,674526,-1,-1,-1,-1,440653,801859,-1,472691,272401,938617,623064,121674,903944,11969,13792,-1,721650,-1,-1,411491,224774,342686,-1,152600,-1,-1,711816,-1,468072,801932,-1,-1,-1,347302,-1,827794,-1,-1,-1,-1,-1,154218,-1,98212,-1,-1,-1,264779,709270,-1,-1,503241,-1,-1,-1,833791,-1,-1,272185,-1,440799,-1,935674,-1,-1,-1,-1,-1,650296,426538,411393,-1,706700,-1,280643,744614,57298,341866,-1,-1,-1,882451,783638,-1,973652,960678,467067,-1,-1,87830,964711,-1,957782,351883,-1,541724,-1,-1,91571,-1,-1,-1,548614,-1,-1,166304,-1,958938,-1,-1,-1,816659,75635,-1,660223,564736,279979,-1,397408,-1,-1,855941,-1,-1,272929,-1,176865,-1,-1,-1,229803,-1,-1,-1,-1,-1,961530,420008,274584,555294,-1,-1,-1,-1,-1,-1,377957,14926,-1,-1,-1,-1,554815,-1,-1,819923,-1,837576,665275,-1,404942,-1,922198,373660,968513,-1,732788,571522,-1,-1,47937,490515,487927,-1,-1,755492,-1,-1,154234,920052,47391,937335,-1,126531,916542,-1,-1,646381,608485,287947,11275,-1,-1,103121,-1,847330,883866,-1,-1,636335,20428,531672,-1,566688,-1,120219,-1,-1,-1,-1,913134,-1,-1,688542,334622,381587,-1,-1,3767,-1,-1,-1,-1,-1,-1,769565,662575,500202,64744,639367,-1,-1,675492,-1,673476,-1,646533,-1,-1,425880,-1,-1,743169,113418,353481,-1,714225,-1,-1,-1,805753,836909,-1,853281,281444,794968,-1,684423,627642,-1,102885,-1,398529,-1,747441,-1,978960,418230,263721,-1,621643,-1,-1,-1,717262,-1,-1,-1,-1,256870,737463,-1,-1,9088,987671,-1,103671,-1,-1,144395,-1,647400,-1,177365,-1,-1,-1,-1,152611,823942,75935,809586,431894,-1,-1,189326,899929,-1,-1,957469,726847,189610,-1,85157,262107,471521,-1,-1,-1,-1,-1,566027,-1,-1,-1,-1,866912,716576,944007,801799,882347,-1,-1,-1,-1,59455,-1,579612,-1,466253,-1,-1,699543,68932,459445,840387,513362,-1,-1,967719,-1,230897,583305,-1,-1,-1,410222,-1,-1,-1,-1,186817,-1,-1,849014,-1,-1,-1,632999,231503,-1,715443,-1,272243,-1,-1,-1,-1,975731,-1,269976,377482,-1,524981,-1,47852,474403,758055,-1,-1,150262,-1,-1,705891,-1,65219,-1,-1,-1,-1,660052,-1,-1,545069,593163,314697,52477,-1,-1,-1,-1,682087,-1,360836,986456,-1,-1,65627,75281,-1,425623,339115,-1,568211,633293,-1,722354,-1,-1,795682,115179,-1,-1,-1,-1,317920,-1,-1,55280,386034,-1,670607,-1,667948,-1,260760,803922,-1,258594,388119,-1,672647,157710,-1,931473,-1,-1,38178,-1,-1,640129,724822,856460,71004,-1,-1,689177,715623,676723,236090,-1,-1,-1,882515,700788,962232,182093,-1,-1,794464,-1,-1,-1,-1,951529,452982,128369,137696,-1,-1,54364,133044,165749,876836,659600,200527,849966,-1,337949,-1,472609,296191,710569,-1,502562,535521,404959,-1,-1,-1,551250,-1,434067,-1,-1,135990,-1,-1,567387,139987,-1,-1,-1,-1,-1,396743,14327,773910,-1,455056,656169,709351,194662,821618,350807,994938,-1,-1,366092,439827,575524,353629,-1,-1,500522,287816,53331,306238,-1,60314,699013,829045,-1,-1,253223,504142,-1,50931,-1,-1,979227,911573,782454,446071,-1,597226,-1,966466,40216,-1,-1,-1,846920,766466,-1,934686,57510,561729,336658,-1,-1,-1,-1,-1,-1,-1,-1,756949,449407,-1,784482,743211,578580,-1,128163,804102,398568,-1,-1,55208,569037,942036,206888,-1,400401,-1,962965,-1,76350,-1,570473,-1,-1,-1,-1,879566,-1,-1,530972,-1,-1,-1,804598,207131,-1,-1,608011,-1,764246,-1,-1,224470,542691,-1,-1,-1,-1,-1,786764,-1,423094,954638,-1,-1,552604,262327,496600,-1,-1,-1,-1,-1,-1,-1,128602,934480,936932,694461,-1,-1,158509,-1,494760,-1,-1,-1,-1,655458,-1,-1,675012,674632,-1,-1,-1,576856,-1,223834,-1,-1,-1,-1,332230,-1,960944,174180,722025,997696,463556,419452,-1,878640,-1,596997,739789,-1,317183,879909,-1,290429,648882,-1,728013,266717,491304,137765,1999,-1,-1,-1,897214,-1,-1,-1,-1,672129,613196,486482,-1,-1,421774,-1,-1,480569,392210,891202,200049,-1,536003,36959,-1,-1,-1,-1,662237,-1,-1,-1,-1,-1,-1,-1,522532,190400,549508,93809,19390,949165,-1,722066,553463,842199,45053,-1,-1,350779,188489,-1,-1,-1,985512,-1,-1,821235,867270,-1,781505,77853,-1,-1,194448,-1,826970,-1,792800,-1,684881,-1,-1,53621,-1,66399,300193,-1,-1,21503,649353,-1,108725,513298,856496,-1,869039,518150,696351,-1,-1,928436,-1,738445,860103,-1,-1,-1,793463,555185,794210,-1,-1,742912,457466,-1,559744,-1,-1,360978,576142,975232,198412,646496,930625,67096,-1,113268,936390,747306,488341,848597,193245,-1,221380,60146,-1,734970,782215,-1,396989,-1,210782,152577,-1,413491,277813,-1,75885,-1,464465,-1,51522,-1,-1,420376,-1,-1,-1,-1,-1,142107,-1,-1,-1,445924,889386,761878,766713,-1,-1,-1,-1,-1,-1,-1,-1,-1,703590,-1,225864,-1,-1,-1,829731,-1,232460,185639,972077,363827,-1,-1,156622,243260,-1,-1,-1,-1,435929,257015,694415,-1,184656,-1,-1,-1,636266,-1,311222,309283,-1,373741,736810,-1,-1,-1,-1,-1,539764,476744,-1,452909,-1,361782,-1,222458,227143,378506,-1,617916,-1,-1,-1,416587,-1,539546,927920,-1,-1,-1,184261,609375,966440,503108,-1,772669,969143,381404,-1,-1,-1,769489,-1,-1,-1,-1,322030,456168,-1,63893,465907,92763,265071,932625,470001,-1,-1,414124,270530,543917,-1,193988,654238,-1,-1,575529,104450,947476,494502,-1,919811,941827,-1,-1,-1,-1,480688,-1,197079,-1,-1,-1,128580,-1,-1,-1,-1,421714,-1,-1,903632,316867,135396,-1,-1,804310,-1,-1,594968,225092,-1,-1,-1,-1,191881,-1,-1,-1,-1,-1,372280,842069,259971,408992,-1,251955,230905,208199,-1,-1,-1,201416,-1,-1,-1,991575,-1,1895,-1,-1,-1,-1,-1,-1,-1,-1,-1,499841,-1,296681,615468,-1,513744,170100,-1,478537,-1,600618,855052,783989,469349,700519,-1,819422,450189,667673,-1,495753,783575,306658,-1,-1,-1,-1,609,993320,970215,-1,-1,-1,-1,381858,-1,541656,368207,412482,50805,936871,457261,491363,-1,-1,567393,-1,-1,-1,-1,-1,188938,-1,-1,-1,-1,-1,348484,-1,523006,792037,344507,424034,-1,912974,711478,673193,269236,359239,-1,-1,-1,-1,-1,421291,-1,601406,650864,-1,707139,-1,-1,522844,-1,-1,-1,-1,36081,-1,-1,-1,-1,478921,758107,-1,659498,-1,-1,-1,519518,-1,-1,45317,949390,-1,-1,-1,779476,523753,323796,562654,467509,207513,-1,236975,593980,-1,321150,-1,-1,-1,273104,-1,-1,837681,-1,72961,-1,272955,954057,-1,-1,582794,965369,-1,307151,731400,-1,301540,-1,-1,210784,736615,-1,-1,139798,808690,199732,49529,-1,41917,-1,80616,-1,788378,279238,-1,614857,-1,304728,-1,-1,511648,717797,44476,492511,749308,-1,24569,-1,-1,-1,526127,796914,657625,-1,-1,17028,-1,-1,-1,-1,-1,830330,445793,650748,19740,-1,-1,-1,-1,-1,875125,118915,826442,-1,-1,606157,-1,-1,-1,332839,215553,357606,338405,-1,158967,865111,726434,469105,627620,-1,76525,386543,491385,-1,363586,122187,-1,-1,225319,231495,614126,871882,-1,689102,769277,-1,825223,597145,513752,-1,517484,-1,43023,95355,956448,-1,-1,-1,311905,266584,549277,45213,-1,713937,845193,-1,-1,526006,-1,-1,261421,-1,-1,935554,61312,-1,154054,8492,-1,-1,-1,739201,-1,917335,-1,-1,659792,-1,-1,-1,-1,37654,381308,836420,-1,153440,-1,943176,-1,-1,865580,-1,-1,486923,992085,-1,169678,489081,-1,51185,440110,440978,673539,99215,86004,565993,600410,741589,-1,-1,-1,-1,-1,471899,77808,-1,-1,-1,527455,341183,460107,870224,377347,-1,-1,617009,570152,682793,139513,335000,-1,965246,-1,401767,-1,-1,447769,-1,-1,156750,-1,700441,477811,755266,65934,-1,-1,-1,910353,963412,-1,-1,721369,-1,-1,-1,-1,256829,-1,356741,-1,-1,-1,710418,989429,555412,375561,4297,342852,370980,653365,149305,447755,-1,4218,752987,58116,-1,-1,545981,497826,10458,39995,134912,-1,42297,-1,-1,-1,801557,-1,-1,-1,-1,181919,-1,-1,-1,-1,-1,-1,-1,416718,39324,-1,765022,765043,839152,758846,-1,-1,812638,-1,-1,-1,-1,361805,-1,176407,660467,-1,-1,353996,-1,-1,31791,28218,-1,359394,957158,731924,705622,-1,-1,578068,251892,-1,380818,690021,-1,-1,-1,260899,-1,439281,267137,-1,-1,901668,149285,226739,565297,-1,-1,668862,-1,-1,423358,289994,784554,-1,462209,868531,112901,-1,906575,125638,-1,326727,885830,-1,746457,36582,-1,-1,-1,900148,669832,-1,706394,284611,-1,995069,977322,-1,433289,830884,74291,-1,-1,310040,96494,805143,782518,-1,169029,741356,-1,800723,-1,-1,-1,809437,-1,-1,-1,-1,-1,288484,-1,-1,-1,-1,515937,-1,490552,-1,-1,-1,-1,-1,382955,869676,-1,292001,725547,71594,474562,-1,490043,683877,-1,486963,-1,224471,898838,517706,166121,-1,-1,-1,-1,-1,34192,-1,-1,33190,262818,731910,-1,698350,531269,-1,-1,922795,628369,693886,-1,54253,-1,-1,959939,-1,159924,-1,165294,953521,-1,851609,-1,-1,-1,-1,394734,-1,783071,-1,553558,-1,761561,-1,-1,-1,46185,989513,-1,341610,-1,-1,-1,472328,112394,766268,737880,288298,-1,32197,273806,308627,-1,-1,9686,-1,908349,216907,-1,-1,-1,-1,81435,-1,-1,232426,973187,-1,860975,-1,-1,620958,-1,538990,64257,541083,271694,201619,-1,-1,-1,-1,-1,46116,946726,-1,-1,-1,845505,886049,619649,928330,-1,-1,646993,399934,1808,569363,999874,-1,-1,197095,539881,18979,-1,-1,35964,-1,98654,523251,-1,491456,-1,-1,-1,781735,78674,-1,779049,271922,-1,-1,432042,-1,713836,753373,250655,-1,-1,263593,532022,-1,368096,895715,395206,-1,-1,-1,-1,-1,-1,579179,301137,302496,-1,110229,276018,733160,-1,-1,-1,-1,97011,658442,-1,163372,672472,705725,275970,-1,37849,-1,632053,936165,-1,852931,27638,373994,-1,307750,352793,695104,-1,55086,276648,768527,15849,-1,-1,-1,650873,-1,416697,-1,65907,831547,278306,465300,195968,-1,328898,683748,89269,407615,-1,-1,390140,77508,-1,-1,-1,-1,798792,764054,474198,-1,-1,677666,372594,-1,941997,-1,-1,745233,-1,-1,792395,-1,682271,410796,-1,-1,-1,-1,-1,-1,371048,-1,-1,-1,-1,-1,944893,101844,-1,460276,-1,-1,34827,-1,509626,300187,-1,-1,893175,-1,-1,416907,961656,-1,-1,-1,636149,-1,758746,-1,-1,236919,16154,-1,793736,607990,-1,-1,55633,-1,-1,422876,267474,421760,-1,315673,-1,-1,-1,-1,340594,628592,81414,-1,8782,903394,228968,-1,362952,-1,820138,288537,-1,-1,173321,-1,-1,-1,403818,-1,-1,495244,-1,29105,241807,-1,-1,-1,-1,773379,411068,-1,320422,-1,-1,490830,386363,-1,17278,913849,-1,-1,555068,293585,811985,545374,-1,-1,130220,71867,-1,-1,533153,197382,-1,-1,80791,583154,340170,-1,-1,629481,-1,791359,500175,19555,720060,760722,15736,114289,56785,-1,-1,-1,274603,832779,928690,50693,-1,919397,-1,-1,377923,109817,348353,-1,-1,-1,658941,272757,-1,-1,-1,-1,117803,-1,410878,53389,-1,658299,-1,-1,-1,-1,683420,-1,958361,174688,-1,-1,970844,-1,-1,-1,170113,229930,599920,169062,-1,622783,-1,201788,-1,846976,-1,893924,547014,-1,105766,740308,209579,820537,686898,180255,59495,3,-1,-1,-1,-1,215201,-1,-1,-1,-1,812167,-1,-1,-1,-1,-1,179632,441884,-1,-1,-1,550142,-1,-1,77982,-1,-1,-1,-1,540813,722414,61369,-1,571993,426354,-1,915946,842430,-1,-1,87900,592378,-1,-1,658685,183322,354339,540378,-1,549804,831328,637308,692699,-1,-1,-1,337765,724536,-1,-1,123716,227946,750312,-1,78558,-1,-1,312207,-1,-1,623850,-1,170906,-1,213013,-1,982947,817721,199210,686613,-1,-1,-1,-1,337087,136092,-1,-1,226448,311187,-1,808860,617417,-1,710626,-1,813973,-1,214464,-1,-1,-1,380029,442548,666064,-1,-1,362691,-1,613679,729459,-1,-1,-1,-1,728273,-1,-1,981510,668783,-1,602265,963670,-1,719595,834308,371798,902383,443370,679573,-1,888488,35564,289507,768909,-1,370844,210818,-1,-1,924712,-1,997144,544156,-1,786922,156323,597401,-1,-1,951319,-1,-1,813179,-1,-1,-1,319961,185998,39600,136880,-1,-1,318881,396196,790408,887825,97010,83238,-1,38009,-1,-1,249107,-1,-1,-1,634481,-1,912058,121993,-1,-1,455832,-1,-1,843653,919448,-1,-1,-1,5568,270667,349135,-1,570429,390306,-1,287918,149559,894756,944717,241432,-1,822060,493331,636788,-1,-1,-1,352066,-1,-1,-1,691865,904866,-1,997255,989918,-1,328881,728070,204396,-1,-1,-1,573056,-1,176691,881059,-1,-1,964769,750587,-1,-1,765828,-1,-1,-1,188749,737260,-1,-1,-1,-1,-1,-1,-1,722335,-1,706693,968265,-1,-1,683235,-1,330665,313750,606641,594715,-1,-1,73133,-1,-1,-1,422511,278434,129471,167318,17469,52946,-1,-1,785223,-1,981741,78072,428694,464714,504755,556703,837054,-1,-1,-1,340142,-1,642222,-1,466475,923848,-1,-1,347717,-1,-1,-1,347463,-1,-1,905767,234894,-1,-1,805346,2864,68330,560768,-1,-1,835096,447849,-1,36618,406547,747491,165012,-1,411968,450107,-1,637987,191458,229003,-1,-1,-1,-1,-1,378103,540107,-1,-1,-1,-1,969869,663549,606009,172576,-1,-1,-1,922053,834156,416984,54439,73421,92395,-1,184536,-1,507342,-1,-1,803671,537776,-1,-1,-1,-1,116212,-1,637306,431823,916710,912278,421199,191133,-1,954333,-1,-1,-1,-1,-1,-1,59935,-1,-1,560267,-1,857695,-1,-1,987040,-1,-1,-1,-1,-1,678165,163861,71813,-1,154342,-1,3839,-1,-1,432600,-1,474252,-1,397367,-1,444776,-1,499211,-1,-1,-1,275384,282965,179035,843188,-1,131800,-1,-1,660320,619187,-1,-1,685292,-1,-1,-1,-1,-1,592712,-1,-1,556046,-1,-1,-1,243741,-1,-1,294439,615688,144729,789846,207554,-1,-1,-1,-1,-1,796586,-1,596091,378454,-1,-1,-1,529586,-1,-1,-1,-1,-1,-1,295508,-1,880729,-1,81072,-1,-1,-1,692291,961589,-1,-1,358686,866352,-1,76255,-1,200190,-1,230716,18934,998894,68374,-1,-1,671389,-1,526691,297337,-1,719931,955205,-1,-1,493245,-1,494765,765059,-1,411828,-1,-1,346171,-1,-1,448065,795676,957395,-1,-1,776070,-1,332401,909369,902603,-1,496348,-1,-1,941795,-1,343976,-1,251907,-1,91855,-1,-1,650755,39842,171538,-1,-1,466696,-1,-1,-1,261425,410541,214447,235113,323389,-1,172585,-1,496426,483070,-1,-1,-1,323509,212428,84506,-1,-1,292017,-1,528776,991456,-1,-1,-1,-1,2448,214376,-1,-1,757906,424076,-1,968690,445623,-1,144158,-1,-1,-1,91128,426440,943865,438085,319456,-1,848212,788530,522581,-1,41353,144793,493706,5843,65282,-1,-1,-1,964578,-1,675504,947513,-1,-1,619242,32686,723321,940893,-1,827278,50425,-1,-1,-1,740298,-1,166328,-1,885194,877556,-1,-1,102100,-1,-1,398695,464334,862085,-1,-1,-1,-1,-1,-1,627370,-1,-1,131115,-1,-1,95590,852582,764234,125863,15940,-1,999696,-1,755871,88350,192027,-1,-1,611718,565485,438731,-1,-1,495132,571593,-1,29965,109858,-1,398588,-1,-1,-1,-1,-1,-1,-1,-1,368059,-1,-1,247013,320486,-1,-1,-1,-1,-1,127062,157115,-1,-1,809956,289785,-1,356471,930364,-1,252731,-1,-1,244863,-1,832068,620032,161686,-1,101128,6119,-1,133589,-1,427075,-1,-1,779590,42907,158162,460804,89676,555342,-1,482429,635005,283752,-1,691959,656121,321779,-1,-1,941428,345075,829049,-1,-1,622545,-1,-1,801209,788611,-1,234458,522197,867479,-1,-1,-1,555936,218139,-1,-1,486957,645495,829360,-1,575175,462915,479740,124513,567158,814638,758696,-1,282244,-1,-1,-1,842769,-1,-1,-1,390536,277098,326973,-1,-1,-1,-1,47996,-1,-1,178191,115219,190860,-1,-1,-1,-1,898425,145825,-1,-1,640909,-1,-1,-1,991224,-1,927385,312172,-1,616419,-1,519879,596726,531633,98017,-1,-1,-1,839870,-1,-1,-1,271966,834121,-1,419905,310633,-1,97000,-1,683092,117546,333023,689668,-1,-1,626430,-1,-1,331584,23928,112365,456155,618080,-1,-1,-1,321994,546006,791674,315921,396288,209931,-1,49855,-1,-1,-1,368294,-1,-1,70009,440508,-1,996919,579120,-1,435638,-1,27750,-1,63907,-1,35597,-1,140962,506418,-1,-1,-1,841770,177447,-1,-1,478320,668202,-1,-1,-1,-1,-1,637511,775407,-1,-1,-1,728561,138377,730296,946491,-1,863394,354109,-1,592179,708941,-1,623263,207591,-1,-1,-1,487535,728855,85277,238388,-1,238660,-1,219478,607438,-1,987530,568474,-1,957329,575127,172081,-1,426128,607093,-1,-1,680284,566164,778431,-1,-1,-1,302033,-1,51339,672570,-1,-1,79079,124908,-1,548098,-1,-1,-1,106588,733637,-1,-1,-1,-1,-1,940781,117639,839738,500209,-1,282021,198048,-1,-1,-1,-1,-1,-1,109414,-1,-1,-1,981332,-1,360049,-1,32659,-1,876046,-1,-1,622070,289097,64053,547657,661486,411528,-1,969774,52800,241394,84854,954653,210405,-1,-1,849702,993086,424313,-1,-1,638223,-1,-1,-1,640170,-1,-1,148349,-1,-1,699740,-1,779681,396748,-1,342194,-1,-1,-1,-1,877880,810442,856225,824121,400594,-1,-1,330700,803412,-1,-1,-1,-1,-1,-1,-1,452063,-1,-1,121396,-1,363080,808217,409191,781092,92521,4180,-1,-1,-1,-1,206921,-1,-1,313514,-1,-1,-1,519711,495768,923039,-1,624805,-1,-1,-1,-1,217197,741274,589865,336319,-1,237452,414031,-1,886958,-1,313969,-1,669751,-1,433155,-1,310856,853335,523004,-1,-1,552706,559957,975067,-1,-1,-1,749396,768526,-1,-1,31514,-1,-1,-1,183228,-1,-1,-1,381577,578845,79720,-1,-1,582399,-1,484142,335975,-1,720776,921333,-1,-1,-1,675299,373794,-1,442970,-1,-1,239330,786506,131722,-1,-1,-1,587021,245141,-1,826205,-1,889471,-1,368529,-1,633358,-1,561698,44430,402441,-1,608827,-1,-1,390229,-1,633916,-1,672900,194460,-1,487462,-1,814614,-1,370285,-1,-1,-1,39646,215575,-1,-1,-1,-1,-1,734244,992100,-1,-1,-1,746984,775992,747608,767274,-1,-1,-1,842683,-1,762830,949565,817103,389829,200510,520019,155463,527382,-1,558489,546942,619633,855884,-1,920296,471734,33934,-1,91333,-1,-1,-1,-1,338458,720879,933298,321791,-1,241305,414410,484989,803217,249922,906078,-1,314041,-1,-1,-1,540548,447425,785927,677684,956875,-1,-1,533021,-1,156793,65088,-1,26127,-1,-1,893852,835197,-1,-1,-1,-1,-1,584730,654803,165824,610655,483351,75404,91288,-1,-1,775012,-1,-1,332986,-1,-1,-1,-1,-1,982086,738721,-1,-1,-1,764915,-1,-1,455705,207369,-1,693366,829456,267536,-1,-1,-1,-1,878309,418717,-1,-1,902957,315425,962087,30464,618856,163132,141218,965678,-1,-1,405677,3784,557719,442968,353889,335596,410241,-1,-1,-1,106093,-1,-1,652476,493883,154999,-1,214868,-1,-1,-1,-1,-1,522402,-1,-1,-1,694820,278067,195066,258759,-1,842815,26947,-1,897123,-1,348794,-1,-1,554309,427504,-1,-1,-1,226691,-1,-1,420895,652378,-1,-1,49261,386783,-1,591761,-1,444163,-1,-1,-1,-1,748784,-1,-1,659189,-1,540266,-1,733364,556943,-1,-1,912775,941818,454951,-1,601816,130479,-1,-1,527113,-1,357858,812238,2883,275443,-1,-1,-1,229401,906748,-1,-1,-1,-1,-1,216307,-1,607924,-1,-1,-1,847115,275121,468884,-1,206566,886988,487900,-1,-1,-1,-1,-1,-1,-1,908354,-1,856342,683466,-1,-1,-1,-1,-1,527402,151194,398449,-1,684846,-1,145109,-1,-1,-1,-1,-1,375238,746986,389588,955921,207787,942041,-1,103690,474404,-1,-1,986924,840631,-1,-1,111155,-1,-1,996992,680306,-1,66137,558167,-1,314546,790522,-1,-1,322477,-1,285881,980578,873066,9873,-1,-1,-1,166428,-1,959951,-1,386621,63004,610617,-1,10879,-1,-1,-1,-1,235275,-1,-1,-1,813102,-1,542700,-1,751183,-1,157358,-1,-1,-1,-1,-1,256746,-1,371769,-1,-1,-1,-1,-1,98493,820294,566844,-1,-1,514675,-1,151579,388653,-1,654870,-1,162933,693612,-1,573270,297200,-1,-1,599447,854542,-1,-1,-1,-1,-1,997623,686249,-1,-1,868848,-1,284522,592987,-1,-1,-1,354745,-1,-1,7376,-1,290455,-1,267803,-1,102746,829908,665758,862367,-1,-1,-1,593397,68513,-1,232194,428220,-1,697380,-1,-1,-1,-1,750858,-1,431667,-1,-1,-1,419170,692648,594428,520177,-1,694181,216470,655990,-1,452961,423229,-1,535784,216681,675249,-1,-1,-1,-1,66247,-1,846870,824425,750084,-1,-1,-1,-1,-1,-1,-1,402832,787773,688742,-1,75995,792925,711979,-1,592106,811601,426912,886555,-1,281553,-1,-1,403331,126955,-1,151417,-1,-1,967618,255583,-1,-1,-1,513559,-1,-1,-1,729371,113205,67753,26705,-1,173397,-1,-1,-1,284534,-1,900451,-1,-1,871065,838959,484241,619397,-1,-1,-1,348400,866519,798014,-1,159100,-1,56219,-1,114327,53128,352463,234257,102985,67592,936755,935820,-1,818655,-1,-1,-1,-1,812039,658146,-1,289701,99449,304045,-1,842027,412757,-1,-1,611329,549791,876442,376490,208894,372541,620290,-1,952236,-1,-1,-1,-1,-1,-1,837881,202230,-1,974299,219826,-1,-1,-1,570025,-1,-1,15541,-1,-1,883169,29504,-1,787040,492118,757563,-1,-1,-1,479158,177627,-1,412338,998017,977892,882254,469538,-1,199756,-1,550696,929188,-1,-1,844081,-1,-1,190517,980069,-1,-1,630819,868951,-1,113428,-1,-1,437025,-1,930963,-1,234596,-1,188856,603548,206414,432547,-1,769011,-1,-1,332237,847565,-1,973916,592083,185210,797225,922210,-1,420631,550614,39739,-1,824154,85731,-1,-1,-1,-1,-1,769904,207998,610470,-1,-1,-1,-1,281952,86217,731198,283359,337521,453780,824328,-1,463836,-1,159701,817020,-1,-1,-1,861308,-1,564178,312697,-1,72601,606759,-1,994046,-1,922339,17507,87422,895186,-1,24038,-1,-1,-1,-1,-1,-1,346191,-1,475813,798710,-1,782229,-1,-1,5156,934123,-1,-1,-1,896726,-1,919311,739385,288979,356337,-1,903071,219022,521482,-1,521091,-1,-1,269418,-1,-1,-1,981822,388561,756410,-1,623966,-1,389225,478525,566707,278587,425310,-1,-1,875421,-1,715281,581204,273411,-1,363170,120332,645360,353385,659153,700449,523948,502551,-1,-1,368274,541419,-1,397356,-1,715750,-1,911658,722157,-1,76503,-1,250190,-1,705130,-1,216632,-1,478371,-1,-1,-1,840313,919153,-1,-1,842603,-1,-1,933533,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,888217,226238,-1,629895,227816,-1,573668,538352,-1,852170,202181,-1,179962,166540,-1,340125,916459,-1,-1,-1,-1,90983,113825,-1,-1,39536,32432,886284,-1,877228,-1,355865,582841,738329,772868,-1,105137,394355,-1,887887,10784,-1,-1,407062,-1,187018,724460,12290,607631,-1,584660,867174,-1,-1,884332,-1,-1,387590,-1,495695,232505,-1,-1,328734,-1,-1,-1,-1,494106,715713,-1,648943,380641,-1,-1,746545,105973,826748,-1,350292,-1,60765,591254,729193,-1,454939,-1,-1,494768,-1,-1,-1,-1,624610,266296,-1,692596,525562,-1,-1,-1,-1,544393,820196,648899,17878,848976,679751,621903,-1,-1,-1,116411,368157,101765,5528,-1,-1,282646,690436,-1,32862,111862,-1,170612,131692,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,722021,705987,166837,776957,942431,14254,-1,-1,-1,584642,-1,-1,-1,107693,-1,-1,762028,250689,692959,345418,468274,-1,-1,-1,27857,19393,-1,-1,-1,319781,698582,447497,267587,-1,703375,327083,-1,647233,-1,-1,819881,-1,521581,-1,-1,702726,-1,669015,-1,628192,388763,581688,87740,-1,-1,415996,982683,-1,-1,176636,-1,-1,-1,-1,-1,521048,-1,339539,-1,296631,686347,-1,551456,-1,-1,-1,-1,-1,-1,-1,-1,673983,129973,-1,-1,-1,99242,-1,-1,-1,975930,561608,988968,-1,16942,-1,110541,837884,631182,918659,-1,-1,-1,-1,-1,578556,-1,-1,328057,441248,541428,485169,-1,211882,10143,-1,178570,232863,-1,767092,746874,-1,-1,40690,-1,698438,-1,-1,790360,-1,-1,10065,43206,-1,-1,175379,-1,-1,-1,-1,-1,273004,385285,-1,-1,-1,-1,-1,-1,-1,-1,463459,-1,521298,714337,-1,-1,847377,955841,-1,-1,321647,-1,931450,-1,118450,528621,-1,353598,-1,846900,-1,-1,-1,296918,162671,-1,104646,141317,117733,-1,530039,169511,-1,-1,963633,400357,931697,999219,-1,-1,446076,-1,430156,-1,648863,-1,-1,-1,809214,-1,862315,760378,-1,-1,488626,873115,342256,-1,431198,-1,714536,674953,-1,-1,-1,-1,-1,-1,962477,362917,-1,-1,-1,845684,170935,397732,-1,-1,791700,303521,348357,297181,-1,-1,-1,-1,-1,673515,280711,202099,33653,462937,876958,905688,-1,-1,-1,853190,-1,431536,-1,-1,662740,799900,438688,-1,-1,-1,-1,-1,-1,279424,44943,-1,-1,-1,-1,969221,180019,465756,-1,32488,921408,-1,733585,686877,597024,130419,-1,-1,-1,497356,-1,540102,-1,867320,-1,-1,-1,707772,975972,-1,100637,411902,614166,-1,-1,-1,876741,-1,-1,528167,-1,167177,336833,137789,890314,963618,-1,-1,-1,-1,606227,-1,-1,209975,-1,-1,-1,-1,-1,791546,861423,-1,-1,488269,-1,-1,5083,181589,-1,-1,-1,-1,161282,-1,-1,-1,-1,210241,363657,675373,582657,917318,821173,77552,-1,-1,-1,482517,941006,249821,-1,266244,802667,549391,-1,882644,711740,998159,-1,123323,-1,-1,-1,-1,234138,295871,-1,-1,-1,-1,983130,622169,-1,-1,-1,-1,-1,-1,188840,899904,-1,589554,-1,624670,-1,477991,-1,-1,-1,669651,-1,627488,11209,838739,-1,10617,-1,360890,-1,359033,-1,376076,-1,424489,36673,-1,468195,533847,466943,-1,579086,987791,-1,-1,659071,-1,-1,-1,980299,126611,842591,849234,-1,656352,-1,591474,382664,717651,-1,594656,-1,-1,-1,36495,852984,-1,155150,436281,-1,310074,699977,-1,257226,868874,-1,163577,257849,65040,-1,-1,207164,-1,726336,390285,-1,192269,-1,-1,396007,723896,315963,-1,445314,503853,902801,78617,141985,-1,-1,225711,-1,711531,-1,12468,-1,-1,142224,308150,94199,-1,325010,-1,489146,850032,590623,-1,167985,269301,-1,-1,-1,-1,702670,-1,516005,-1,-1,779244,-1,11630,-1,-1,-1,-1,758291,-1,-1,-1,768866,-1,532329,35146,-1,-1,823095,866037,413686,-1,-1,-1,596405,940245,-1,-1,-1,-1,-1,-1,355831,947456,647222,-1,769535,-1,290476,910254,351649,491274,289043,-1,937812,33913,147953,-1,-1,-1,-1,589837,11142,133237,-1,574357,-1,-1,-1,-1,385822,-1,478226,-1,-1,-1,-1,965036,879981,839869,408769,-1,-1,920905,-1,-1,-1,-1,-1,-1,-1,35549,-1,638065,-1,462295,-1,198908,282789,-1,-1,180656,330770,978594,-1,43195,802742,-1,-1,-1,760024,-1,-1,-1,-1,-1,707335,-1,-1,747358,-1,-1,-1,-1,-1,-1,602997,698359,98049,356698,-1,639045,-1,683192,87025,-1,-1,-1,656905,-1,-1,608286,994973,515018,-1,-1,-1,527637,215789,-1,135586,-1,-1,133941,910338,-1,-1,387696,-1,417135,-1,-1,473531,-1,847594,-1,18096,221651,-1,849338,-1,-1,-1,691303,712881,233500,564911,-1,-1,-1,-1,597527,4924,-1,898905,582562,-1,621624,-1,-1,-1,507629,151793,104051,-1,-1,771808,-1,-1,-1,639132,-1,405345,-1,451716,487229,-1,751939,688560,-1,971531,466041,-1,232549,220793,-1,-1,825533,-1,341602,-1,501603,137299,624538,-1,-1,-1,800191,274647,404351,-1,-1,156878,504368,82225,383423,763413,381452,-1,-1,113200,-1,-1,-1,-1,-1,815550,225203,-1,560060,-1,-1,-1,791847,810523,-1,434144,-1,855809,783261,-1,-1,-1,-1,-1,31449,-1,558591,757487,958072,626404,-1,-1,251512,-1,-1,551850,-1,823404,508099,-1,332324,147045,-1,719980,798279,-1,753215,-1,793523,199638,-1,-1,588645,-1,-1,-1,635864,-1,711784,-1,49601,388432,994314,-1,752760,262911,760061,266007,-1,691633,417001,594336,-1,874834,959023,-1,-1,880174,15063,102035,373756,687861,544349,119340,-1,896773,-1,-1,-1,153826,-1,707535,727131,523153,-1,-1,743452,-1,55746,-1,-1,28720,-1,885907,467837,-1,-1,540822,844977,365803,-1,945883,660234,767021,-1,400689,268583,-1,838530,-1,233317,116100,-1,-1,-1,-1,-1,-1,-1,-1,302451,982946,-1,519427,-1,11029,-1,344410,784621,474607,-1,511044,688189,-1,-1,-1,-1,968914,-1,802547,485780,615499,125704,266646,367863,-1,-1,-1,-1,-1,832435,-1,689636,-1,-1,-1,453350,869921,131013,-1,249229,-1,821088,-1,-1,383536,-1,7986,368235,360139,347924,765816,389102,629851,-1,234299,451377,449645,738140,-1,476627,-1,-1,-1,516033,-1,138186,138599,236237,-1,-1,-1,180943,-1,-1,-1,-1,-1,-1,350254,-1,946611,710814,849987,855235,164506,-1,-1,-1,-1,-1,840924,979707,809105,936124,830289,802221,383489,485012,351915,-1,-1,36581,713822,316110,-1,918874,312353,-1,-1,-1,-1,938184,909832,-1,-1,-1,782479,-1,749178,24353,345303,-1,547135,562469,-1,-1,-1,-1,59715,-1,884592,496832,-1,422959,297692,-1,569483,-1,176871,249531,-1,403612,698109,1027,-1,-1,-1,812972,171342,-1,-1,593164,807842,-1,217998,-1,-1,539591,-1,688245,-1,794467,874311,465713,-1,295142,-1,-1,313415,336320,-1,295888,-1,208324,420365,-1,234656,-1,-1,-1,865094,259599,831217,157055,85383,-1,-1,542987,874564,800467,133193,-1,55088,418758,669760,415274,-1,333905,-1,-1,871852,79151,-1,688434,978327,17698,728115,-1,-1,-1,355321,799168,-1,160853,60133,-1,459428,275953,618497,557130,-1,-1,204366,-1,823785,551690,23652,-1,-1,104503,315177,-1,-1,-1,618291,-1,99532,-1,-1,-1,-1,437418,-1,-1,-1,-1,976975,-1,-1,-1,333127,-1,498518,-1,714829,-1,938401,396736,624589,-1,-1,-1,425345,-1,934683,4063,872441,84547,-1,657864,-1,-1,874257,888001,129769,-1,205240,567044,-1,-1,506570,-1,-1,648966,975822,-1,-1,110923,963049,22183,822082,-1,-1,-1,87603,621539,55883,-1,-1,-1,241068,-1,-1,-1,716475,21366,161963,-1,614,-1,-1,15360,760508,891326,-1,-1,418605,-1,5535,332791,485494,558439,637578,-1,963124,345375,-1,-1,-1,458979,864961,206576,156365,691495,-1,606967,-1,-1,248154,-1,638553,-1,602874,635121,-1,-1,972529,-1,245868,581529,-1,-1,139495,-1,-1,982883,-1,-1,-1,-1,624136,473508,-1,923485,-1,-1,-1,111267,722468,745426,-1,624148,891527,800967,-1,647629,-1,-1,-1,643631,191173,476118,-1,45526,857638,-1,915290,702494,-1,-1,-1,-1,460131,923189,-1,582775,-1,-1,-1,-1,-1,526237,56339,-1,-1,-1,-1,-1,474092,444062,-1,-1,448175,640994,-1,307167,-1,314864,90082,-1,659436,134269,-1,-1,-1,-1,43837,-1,-1,-1,-1,420496,621031,664712,-1,-1,-1,-1,598388,-1,748427,161463,-1,-1,716345,-1,-1,171556,-1,-1,-1,-1,916815,-1,426180,-1,383932,-1,416552,-1,607249,862265,-1,799238,-1,405539,-1,-1,-1,-1,287846,-1,-1,171916,-1,730334,557809,890674,262205,-1,-1,-1,-1,-1,-1,102176,670116,873900,441117,300920,-1,223044,-1,-1,884224,-1,-1,126227,-1,-1,771887,8993,666416,-1,11475,117747,-1,-1,482182,798799,-1,-1,392126,742537,961613,-1,-1,-1,489584,485946,622367,587554,-1,795255,-1,970817,-1,-1,274027,-1,-1,739846,357825,665346,-1,182910,-1,574632,268663,992462,-1,-1,-1,-1,-1,829201,813021,-1,218169,-1,174348,569551,-1,-1,-1,9468,267284,316301,-1,-1,55090,145895,-1,-1,876719,-1,-1,-1,186452,-1,-1,548781,-1,621016,595766,-1,506613,-1,490742,-1,-1,-1,766284,-1,5173,-1,171846,-1,473202,990875,-1,-1,452067,852481,-1,-1,-1,874377,-1,-1,-1,-1,551200,776323,170466,323951,-1,-1,701268,-1,941623,-1,-1,429604,322423,763118,437360,868225,363169,929629,-1,272715,165351,-1,830754,703096,-1,-1,184264,572975,-1,-1,795417,673649,-1,664183,-1,-1,855061,912852,-1,-1,-1,-1,-1,185871,-1,533799,40385,-1,-1,-1,-1,850575,505193,-1,787145,-1,-1,752683,80939,10837,-1,635458,-1,-1,334028,865220,-1,15249,551388,895357,-1,577515,261443,161918,-1,-1,-1,823051,885862,-1,880998,-1,991808,-1,-1,-1,758317,804068,295659,578504,-1,139277,890373,562310,764108,-1,-1,-1,608917,-1,-1,559654,-1,278138,104632,420520,-1,544930,-1,-1,-1,157834,-1,259453,307165,623866,-1,-1,-1,-1,-1,-1,825327,-1,220029,297544,285827,662918,411147,-1,-1,-1,390614,-1,739853,260858,-1,-1,75998,397402,-1,-1,705114,-1,164430,-1,313252,-1,-1,276280,-1,528021,-1,-1,-1,-1,-1,-1,636699,868431,570454,144054,994816,-1,-1,-1,938265,774005,-1,13488,-1,-1,-1,999878,-1,281204,-1,-1,931763,-1,539112,171426,560955,-1,375544,131196,-1,-1,405359,-1,991372,-1,62701,764659,192364,465448,-1,-1,-1,-1,-1,63619,-1,-1,633468,-1,196038,-1,94322,-1,-1,254246,-1,969211,-1,991679,-1,783691,-1,769960,148676,740986,917201,966178,537059,-1,-1,148781,777663,-1,424777,543845,275170,430274,-1,-1,197488,319548,314175,-1,204422,-1,-1,569245,864633,451496,928418,456614,-1,-1,961047,-1,989149,-1,-1,-1,574017,917457,459558,715393,956173,-1,-1,218109,-1,-1,743889,-1,434003,-1,-1,-1,-1,-1,-1,-1,207992,-1,713870,-1,358392,222779,-1,-1,-1,-1,-1,-1,313618,831895,666195,-1,151751,503723,9590,-1,942930,652273,785416,465284,850288,-1,-1,-1,223182,955439,523389,-1,-1,-1,-1,-1,-1,-1,775256,-1,-1,870533,-1,233576,-1,-1,-1,370013,965388,-1,959099,-1,650172,-1,928392,-1,-1,761940,139253,-1,-1,728870,-1,-1,-1,-1,514247,-1,333776,-1,763991,780551,-1,156574,218215,-1,-1,905428,-1,111625,-1,-1,901542,680139,-1,-1,151378,-1,497127,-1,844360,-1,-1,780638,550138,614940,-1,-1,-1,-1,173320,-1,-1,978367,-1,-1,-1,496188,-1,-1,80712,-1,-1,-1,-1,-1,-1,83283,96374,-1,-1,478988,248366,229911,-1,438894,-1,207494,849434,123377,277168,303580,-1,-1,522279,119704,-1,-1,-1,28557,-1,966714,601489,800315,346926,43758,556098,684946,-1,916779,463688,-1,-1,-1,-1,903134,-1,-1,-1,-1,567101,176154,822563,-1,157129,158671,839357,711315,-1,-1,-1,757566,-1,387841,-1,-1,125353,-1,-1,-1,-1,123177,-1,572086,10691,-1,225097,-1,743532,-1,362887,768474,-1,990402,939029,851587,-1,975737,-1,235896,-1,603152,928887,675062,-1,-1,-1,-1,138679,-1,-1,-1,269533,921443,-1,-1,-1,-1,-1,-1,-1,-1,-1,767256,837498,-1,73969,-1,-1,-1,-1,626376,-1,427849,224684,-1,925797,773921,564172,-1,-1,-1,198956,987715,339663,-1,-1,235834,-1,-1,830535,740034,695461,-1,-1,-1,358397,-1,-1,609155,-1,-1,-1,334449,892207,-1,-1,209672,-1,899870,260767,386519,941633,752799,464539,-1,134447,-1,506058,491338,-1,233862,-1,-1,995987,-1,263029,-1,961730,-1,-1,442356,-1,-1,852380,-1,-1,-1,118749,807700,992705,905186,744806,447488,551327,-1,839275,931181,684158,-1,-1,-1,693434,-1,-1,988169,-1,-1,-1,809617,-1,-1,-1,148704,-1,285449,885231,-1,-1,-1,684692,910717,98933,614307,-1,295988,-1,-1,-1,773635,258191,127471,-1,-1,826429,204727,668178,-1,801393,-1,-1,-1,9411,47221,-1,-1,222444,-1,-1,693761,-1,135361,-1,711022,-1,500366,-1,548634,597631,-1,311705,822058,589779,-1,13859,-1,176746,-1,-1,690470,797861,311230,668906,730198,-1,-1,503923,-1,307876,-1,-1,-1,-1,-1,566088,697932,-1,860894,99543,860391,441846,597336,-1,68025,-1,-1,-1,-1,-1,-1,-1,-1,-1,366668,358740,364420,-1,834109,583077,-1,443654,581612,126751,-1,-1,557724,680880,962960,-1,965284,-1,-1,853260,-1,52791,-1,-1,944898,-1,-1,555049,-1,-1,696728,-1,-1,-1,203107,843650,-1,271801,373298,-1,-1,130831,-1,397603,-1,-1,-1,-1,184746,193868,310439,492271,846589,-1,-1,478051,-1,959254,696547,-1,134040,460139,-1,351568,774923,912932,-1,-1,412624,587919,784220,406967,-1,-1,766608,680462,-1,201482,785775,613789,-1,5391,670692,877601,-1,983955,-1,275137,-1,-1,313593,-1,-1,-1,575566,-1,471448,-1,-1,-1,371363,101824,-1,691918,885956,886743,108545,214686,162068,380012,-1,-1,-1,-1,196275,-1,-1,-1,637062,-1,677952,-1,20318,-1,827409,-1,265777,-1,664325,388738,431319,800166,288624,87030,757475,437801,-1,829348,728295,939987,-1,-1,329838,905996,-1,-1,-1,399073,-1,358238,-1,974661,-1,-1,-1,818708,876159,-1,-1,-1,958545,-1,-1,-1,962365,391235,-1,-1,718436,-1,-1,19804,642913,991568,29241,-1,-1,-1,-1,201278,-1,-1,118515,-1,-1,-1,79262,249147,374165,-1,-1,402885,883805,449548,-1,77014,999109,484839,579399,425890,308926,-1,261996,-1,592782,110528,-1,85293,451595,-1,595583,368114,-1,170168,299660,-1,-1,335552,-1,-1,-1,-1,-1,-1,574312,172106,-1,-1,156712,-1,-1,523944,516120,-1,-1,309673,-1,-1,-1,-1,-1,983902,902,-1,-1,-1,499463,385594,-1,255282,414600,-1,-1,369934,-1,458402,629488,-1,-1,68939,334696,449973,-1,-1,945943,-1,944064,107009,-1,-1,-1,247017,85036,-1,525401,-1,-1,301883,51385,-1,332993,-1,-1,-1,-1,495292,929576,-1,35603,787772,-1,-1,-1,-1,650362,811219,-1,419810,557692,217771,-1,795472,248384,-1,-1,-1,734564,-1,-1,-1,613767,511169,-1,-1,753895,427885,723529,-1,-1,996425,318789,134379,-1,412500,192554,-1,-1,-1,647314,-1,-1,752337,88594,-1,146483,-1,850003,-1,91697,-1,-1,-1,-1,-1,-1,914830,512172,-1,452309,329491,736269,-1,-1,-1,306976,774717,-1,297872,-1,948422,658187,958722,45878,-1,-1,680375,415881,11476,-1,-1,241455,953843,-1,901383,621571,-1,-1,-1,-1,-1,978360,-1,984206,843335,-1,571631,-1,-1,-1,114162,-1,473445,-1,-1,125841,-1,851291,834424,-1,742975,-1,-1,770811,-1,21245,-1,-1,-1,960729,-1,42914,410045,931549,970165,11602,-1,-1,130198,195139,-1,-1,-1,-1,717745,425969,-1,-1,-1,36670,747100,40764,-1,-1,831036,264321,-1,-1,945278,-1,890625,-1,-1,205959,529260,-1,-1,-1,-1,246199,-1,234434,-1,-1,346012,213851,-1,-1,-1,-1,-1,-1,298633,552428,426744,-1,-1,960489,76986,247977,-1,264898,-1,616650,957058,-1,-1,186222,-1,627695,-1,-1,-1,-1,805088,764964,-1,239035,-1,-1,258683,71754,-1,-1,884037,497666,194480,598839,-1,-1,-1,657726,958631,-1,372797,467096,686697,657528,-1,211685,786761,19124,-1,-1,-1,-1,55575,872481,-1,-1,-1,131757,117113,-1,602273,680490,-1,998,-1,-1,-1,-1,577928,528714,47977,323184,739859,-1,995816,-1,-1,704715,573079,234594,178842,142964,-1,-1,-1,574396,-1,-1,-1,523174,-1,-1,925448,-1,387730,757728,-1,-1,407668,-1,-1,751848,814950,-1,-1,-1,-1,313882,786587,-1,231900,-1,961841,50912,934097,-1,456633,867237,-1,-1,-1,755930,928804,-1,65646,540077,82284,772735,444049,491842,-1,-1,-1,-1,-1,-1,291377,-1,-1,87685,-1,-1,181137,990338,-1,567253,-1,-1,255564,-1,165557,367458,-1,-1,371194,272423,15064,-1,598315,876212,-1,-1,456373,-1,207118,283283,956475,-1,-1,-1,793020,716693,-1,593919,933614,-1,700902,-1,-1,-1,218609,-1,-1,74935,909121,82085,-1,165439,-1,204017,-1,-1,-1,-1,529015,645122,203282,-1,850025,398863,798701,-1,-1,291234,767872,702173,497639,80718,19101,-1,975722,-1,-1,666374,842073,992067,-1,173493,-1,500252,890212,-1,281873,-1,289134,773798,-1,596194,-1,419395,646485,789687,641043,208564,-1,487519,-1,614076,-1,846035,-1,427956,-1,-1,75264,598083,-1,511290,989777,-1,17784,832874,-1,787355,-1,-1,267850,-1,985824,-1,-1,-1,327080,-1,945463,753483,138469,-1,113437,-1,-1,-1,-1,-1,-1,624254,-1,280096,-1,514279,-1,398007,216825,-1,551030,515785,-1,530445,-1,-1,114531,-1,-1,2913,769793,474550,641865,-1,-1,211349,283035,-1,65519,-1,422160,205883,949284,682752,-1,-1,-1,332605,-1,-1,126443,992641,-1,-1,502771,-1,-1,-1,856846,621384,-1,-1,-1,653014,239755,706148,-1,783014,623368,-1,605266,237224,463743,765304,-1,-1,-1,888907,-1,-1,-1,-1,594433,-1,-1,773632,-1,-1,359321,-1,30121,-1,-1,706632,-1,987507,-1,292659,102272,-1,291027,19223,677398,-1,623257,-1,903860,623005,-1,623457,541158,870056,-1,433549,-1,-1,114511,-1,-1,-1,827703,-1,438540,-1,515355,-1,592897,-1,-1,992455,967141,-1,875344,-1,91424,-1,713616,-1,231139,136641,-1,-1,336374,258478,-1,-1,-1,-1,-1,-1,-1,-1,487875,-1,-1,-1,-1,387020,847439,818762,310871,-1,-1,283713,-1,985352,-1,-1,419033,-1,-1,842247,-1,-1,-1,-1,913747,-1,-1,387626,297324,554446,-1,524404,388634,583612,-1,552637,398122,948266,-1,116306,-1,-1,992367,-1,772023,-1,-1,-1,694379,-1,-1,821635,751007,925026,-1,97996,765031,-1,843771,896072,-1,656857,407300,201033,-1,-1,911050,890411,-1,-1,242955,-1,532372,211579,-1,151055,-1,271723,370180,-1,533755,-1,-1,-1,522153,262446,-1,410849,-1,-1,-1,995570,652406,-1,900309,823799,-1,939078,-1,-1,751713,-1,-1,-1,-1,-1,376234,-1,541524,-1,128302,43244,748373,823305,718516,354838,206348,906497,-1,602529,-1,-1,838465,75209,-1,-1,405770,-1,501944,467111,810500,375048,-1,-1,-1,-1,-1,967142,623920,-1,-1,-1,913650,-1,664747,-1,-1,661740,45456,-1,-1,-1,-1,-1,-1,-1,517481,-1,644463,502331,-1,451488,-1,-1,-1,672855,-1,-1,950972,-1,9219,767421,-1,202637,824520,-1,152380,-1,-1,220138,720198,416487,-1,-1,-1,859521,884371,-1,647828,829,-1,132354,-1,-1,-1,328452,-1,-1,73698,-1,648582,-1,-1,511213,-1,52270,-1,-1,-1,789912,707013,-1,376688,-1,-1,-1,979802,-1,272188,-1,976452,559253,50740,-1,-1,114606,742985,-1,744795,964957,981417,675350,771214,261351,-1,-1,-1,-1,-1,549386,715017,-1,-1,-1,-1,405657,-1,533290,162806,-1,-1,-1,-1,136679,-1,-1,-1,319641,756248,-1,233236,-1,278317,-1,280609,-1,-1,608248,544956,-1,739318,381700,783945,924085,86179,581851,294919,-1,60299,-1,-1,-1,-1,608857,428224,-1,887205,563261,860830,-1,-1,803299,-1,-1,-1,652497,-1,-1,-1,-1,999483,430712,-1,-1,978929,861150,596342,219453,834757,-1,179442,770356,279163,857718,-1,-1,433655,-1,-1,372597,-1,-1,683506,434122,-1,-1,907886,-1,604834,-1,-1,-1,722124,-1,-1,-1,-1,-1,949705,-1,619754,-1,230368,715590,697917,770478,266251,463636,995490,181754,-1,65911,-1,-1,18143,394491,-1,-1,-1,669596,704215,-1,-1,-1,-1,-1,-1,110165,-1,-1,154005,97652,-1,868358,-1,429583,-1,-1,-1,-1,688155,271795,-1,-1,-1,-1,641235,124027,-1,898918,-1,517135,-1,-1,258258,808994,-1,-1,-1,-1,-1,-1,507581,-1,-1,-1,306824,-1,-1,835157,-1,482280,687761,743261,-1,-1,-1,-1,-1,-1,88242,-1,290990,-1,-1,600949,659290,-1,928152,-1,-1,-1,711385,227360,-1,23506,177982,501235,-1,-1,-1,-1,-1,2152,232770,-1,764232,664210,990952,-1,499677,-1,-1,-1,32855,312992,-1,124990,488495,-1,-1,861397,-1,811981,-1,424207,475193,749317,-1,160502,691479,-1,430238,574229,525042,242234,-1,589047,-1,-1,944066,56793,-1,-1,908384,882920,920178,-1,-1,589076,138365,-1,876829,323599,-1,-1,-1,665166,72372,-1,674103,692537,924907,-1,550845,960185,515371,-1,-1,-1,536415,-1,403039,-1,586833,340995,526241,316710,-1,-1,-1,775910,280611,780109,-1,-1,117019,-1,-1,-1,-1,309034,-1,155582,-1,-1,-1,689464,-1,-1,953665,388798,192068,930425,470251,-1,635908,379602,-1,521332,684679,-1,402947,740518,885082,209016,-1,319576,-1,799208,889438,730111,-1,532447,921427,-1,101898,868990,306113,942498,253724,88545,-1,-1,291724,-1,-1,757603,641399,733387,106245,-1,253471,-1,906150,866291,561535,886484,889733,-1,774033,338925,603239,-1,-1,271203,689307,-1,581872,756513,694756,-1,-1,-1,743012,552949,-1,127652,585824,343367,857845,-1,850654,-1,19969,914393,205136,-1,-1,-1,-1,-1,-1,-1,-1,-1,779817,-1,631870,275949,-1,641025,-1,-1,44927,314498,124431,370657,-1,91409,-1,443168,-1,556750,-1,-1,-1,508714,-1,39238,30262,-1,-1,647421,-1,706105,29408,-1,485210,328290,672323,851789,-1,-1,45212,-1,647217,-1,642662,544494,70416,104143,-1,-1,-1,-1,398962,-1,-1,-1,270993,144757,57623,166092,491911,-1,81955,-1,110681,441276,-1,-1,-1,-1,709626,814359,918052,794983,211779,200640,621732,210438,-1,832666,-1,-1,747901,-1,-1,-1,168765,810903,-1,612201,-1,201935,-1,330205,858612,785720,297461,35216,865868,-1,782384,-1,656599,732054,-1,927262,-1,135234,741096,850790,-1,846159,492410,-1,-1,-1,-1,-1,-1,790565,-1,237332,-1,114658,996335,145154,-1,180355,-1,881535,-1,-1,95529,-1,559763,-1,762177,-1,-1,-1,-1,-1,608943,-1,-1,-1,-1,-1,193095,32735,972261,231455,269948,-1,-1,-1,-1,-1,-1,-1,556792,-1,-1,90387,792468,-1,550584,-1,415684,-1,-1,952202,-1,764582,805223,184922,-1,369396,241939,-1,324618,-1,112484,-1,955775,-1,756420,366303,421237,192901,-1,204289,322383,85862,412803,831276,748315,-1,-1,223197,-1,833623,674136,29133,-1,-1,-1,82082,830093,278519,508630,832066,256775,379481,811712,339450,-1,-1,645725,807045,-1,-1,-1,-1,-1,54455,674305,-1,-1,368727,364352,-1,-1,916787,-1,751680,-1,165057,-1,-1,315373,990432,587864,758893,788441,-1,-1,810788,-1,-1,-1,843231,853981,189354,481993,-1,963550,-1,559430,-1,-1,-1,-1,-1,596282,950386,-1,-1,-1,-1,102175,-1,-1,33612,-1,-1,236863,-1,-1,-1,637979,727456,407301,178873,-1,-1,729515,-1,190605,-1,-1,-1,-1,-1,4203,-1,-1,-1,-1,-1,-1,819481,633011,312838,-1,696640,-1,-1,-1,-1,970072,114991,-1,-1,-1,-1,-1,-1,-1,339191,-1,9193,-1,-1,345043,-1,-1,-1,-1,362097,-1,604249,625875,-1,-1,44773,508368,-1,201838,-1,-1,502742,5383,-1,586262,-1,-1,813384,-1,754950,-1,729882,672059,541824,706859,-1,891020,-1,203487,715822,711709,99978,677438,-1,-1,-1,-1,510112,-1,312105,-1,337899,405269,-1,-1,634180,238811,-1,27104,-1,205275,16015,92898,-1,691341,147324,51845,-1,696850,867015,84205,264932,536096,83549,50088,60883,-1,742208,-1,725685,-1,54727,-1,331375,-1,-1,756570,699112,818925,925825,-1,488116,-1,-1,114126,-1,678808,-1,-1,140829,-1,331135,-1,764442,-1,-1,659432,402912,155568,-1,679730,22907,-1,349394,-1,-1,414934,-1,834875,-1,605935,-1,461313,-1,596486,288391,-1,883084,203314,816999,820721,-1,-1,-1,855717,-1,-1,420800,465347,-1,606712,509353,30604,-1,827453,-1,961268,51452,-1,10740,-1,-1,-1,-1,404361,526367,369541,-1,253756,50712,-1,-1,659503,-1,-1,-1,-1,507179,-1,-1,-1,535592,960959,-1,-1,-1,-1,-1,-1,198645,993618,200203,-1,200786,-1,-1,221290,-1,463589,-1,-1,-1,560036,-1,674210,97626,629234,362040,910105,-1,170719,901432,-1,-1,35662,323059,-1,-1,163025,-1,-1,933735,137761,406640,-1,-1,563595,231146,-1,406212,983213,-1,174283,535838,119069,-1,414860,241043,729294,-1,612349,253829,651554,-1,174483,-1,299133,148232,508796,-1,884329,115898,-1,-1,-1,974256,946025,866337,-1,360317,906440,-1,-1,-1,-1,356006,-1,838585,637037,-1,-1,192716,395737,165921,446783,573438,-1,402675,552902,-1,-1,217635,-1,141817,-1,-1,95850,271882,876508,-1,-1,-1,-1,-1,728062,897813,-1,-1,226665,726854,-1,766760,231741,823375,529101,-1,224705,-1,770525,-1,-1,722421,-1,569349,-1,-1,900849,-1,-1,936298,784281,-1,-1,31454,531735,598071,-1,524709,-1,618574,-1,566694,275783,-1,553342,-1,836202,699517,251834,-1,138517,-1,-1,19249,48140,-1,43939,621302,333496,-1,106897,-1,977091,46564,609958,673957,247150,-1,584979,-1,735906,-1,-1,-1,735386,202228,607794,285379,-1,590734,-1,473580,701702,485845,890777,369382,-1,-1,780963,388213,-1,-1,794942,483447,-1,476314,-1,-1,-1,565577,-1,719452,-1,185012,-1,638716,438538,-1,382102,-1,11140,-1,589548,769521,39866,-1,398444,-1,456769,-1,-1,-1,866752,-1,-1,767242,558286,-1,902693,-1,-1,71047,933327,-1,-1,-1,830950,583435,-1,-1,-1,33636,-1,-1,272652,-1,83767,493704,-1,212291,241378,295585,-1,-1,415397,853895,-1,-1,-1,-1,780469,55239,599032,-1,-1,753620,-1,-1,-1,216443,-1,755501,707187,-1,544308,621036,-1,-1,751400,-1,-1,79861,-1,755433,366152,-1,-1,-1,22351,218239,154403,-1,-1,397419,9340,581810,837033,-1,437554,39984,811045,-1,-1,773070,521424,987068,-1,-1,164407,-1,437411,740390,627297,851925,-1,-1,-1,453025,-1,507566,-1,-1,305404,442756,991621,689484,717059,995475,-1,662783,-1,217187,820967,649924,762463,128624,81935,-1,264301,562072,-1,38448,762910,754036,-1,842339,-1,-1,670326,-1,-1,-1,-1,-1,85474,-1,680902,-1,130744,988981,372472,-1,385626,-1,-1,428100,-1,665785,-1,848561,787815,-1,-1,851458,-1,-1,-1,-1,281555,-1,-1,663568,747718,164577,-1,-1,-1,882216,858199,-1,454216,-1,288927,329000,-1,320882,-1,-1,-1,426968,-1,538952,380966,-1,-1,-1,-1,305079,216472,757751,-1,135643,-1,-1,216656,-1,-1,455972,-1,59076,-1,841853,-1,633030,24793,-1,277097,-1,407993,429907,-1,156769,-1,83902,-1,-1,-1,173446,-1,-1,-1,-1,-1,436960,-1,-1,37358,421474,-1,-1,336902,-1,-1,245226,-1,389085,693995,-1,-1,599170,570611,239503,-1,91020,-1,395210,-1,646958,-1,763642,806820,419943,-1,378927,-1,373084,410001,-1,-1,652556,-1,551933,-1,915506,-1,-1,-1,409606,-1,-1,-1,-1,-1,221173,647959,882432,-1,222944,-1,363587,-1,-1,409932,663411,731130,-1,-1,746454,-1,-1,949051,171446,-1,841069,68797,432746,-1,330867,-1,-1,-1,-1,115391,637683,280009,-1,-1,-1,-1,-1,-1,63348,522707,457007,-1,-1,131114,-1,-1,265179,-1,-1,188016,579022,-1,-1,-1,-1,738322,60182,134015,-1,-1,595445,-1,112660,47202,121247,860104,-1,658820,623860,463145,-1,127752,648725,734867,-1,289216,-1,702210,-1,977512,73574,-1,257233,94061,742060,-1,774644,816163,569413,443486,65435,59981,76302,85665,317452,-1,-1,145893,-1,169107,-1,580767,-1,420190,122306,615196,-1,-1,-1,156585,954536,-1,662830,-1,839581,-1,-1,34043,-1,-1,232787,269040,826713,-1,-1,897506,-1,-1,294727,442013,498343,-1,-1,986532,-1,-1,184463,765723,-1,397710,-1,667503,850519,-1,-1,-1,-1,227425,-1,-1,-1,-1,-1,-1,-1,-1,539061,422011,212575,-1,-1,707454,-1,-1,-1,721756,-1,254470,740321,-1,-1,666861,172792,-1,367063,562954,-1,154087,-1,-1,65576,-1,-1,-1,544061,537850,-1,470667,660303,802841,601191,656138,72237,62890,-1,-1,592706,72808,-1,859501,539488,368644,708117,383985,-1,-1,-1,601212,396361,-1,925891,-1,-1,-1,231585,318911,-1,-1,-1,-1,435866,-1,-1,-1,652685,-1,762662,-1,503897,471317,429086,392722,630834,-1,-1,436201,221880,-1,-1,-1,-1,903813,674265,-1,745058,741900,951705,-1,588562,393363,22516,-1,-1,-1,-1,-1,-1,22047,376918,-1,841832,228162,-1,992907,247818,206507,23633,-1,-1,-1,-1,331541,-1,-1,93257,191338,944672,619594,-1,-1,-1,722632,-1,-1,-1,542554,-1,-1,986260,-1,568328,463165,-1,-1,-1,285796,680373,-1,214324,900644,-1,-1,-1,-1,-1,311547,977545,-1,890298,207551,-1,897874,554129,830934,254076,-1,-1,555583,-1,-1,-1,-1,830987,-1,388745,288079,919313,-1,-1,-1,151931,-1,640020,-1,694980,637892,-1,336642,-1,773661,744451,-1,-1,-1,614800,921837,-1,-1,419689,750367,539391,-1,425590,-1,-1,559100,332304,-1,335705,-1,-1,-1,-1,-1,280364,-1,395050,-1,-1,-1,164806,-1,731624,83474,-1,-1,-1,-1,-1,35154,724397,-1,-1,-1,437327,985426,951814,-1,-1,-1,638266,428213,100396,-1,864671,83586,-1,-1,-1,-1,652436,-1,43987,752045,846664,-1,258241,312626,597091,222880,272814,-1,-1,-1,144705,755655,934690,-1,311738,-1,-1,797841,-1,-1,236006,-1,-1,550299,478183,-1,235982,560620,302668,-1,-1,975281,-1,-1,-1,-1,-1,497211,-1,336831,-1,983760,-1,602572,218282,672548,100919,320613,474005,-1,-1,620431,-1,-1,93676,884425,512815,-1,-1,-1,-1,-1,825979,-1,-1,936398,-1,122936,92552,-1,-1,-1,-1,621945,-1,-1,158402,-1,-1,-1,213149,587503,-1,852000,11510,-1,365911,561379,-1,-1,-1,-1,496870,-1,958558,496950,-1,-1,653463,410232,-1,-1,-1,444386,-1,-1,-1,-1,862532,709393,-1,-1,459910,-1,-1,117271,-1,511619,335499,666363,333678,356297,115659,-1,621253,-1,710759,314310,-1,26716,430775,517788,-1,-1,-1,74760,448620,297387,980732,-1,-1,462528,-1,756765,-1,-1,830906,558671,86466,689995,774228,127892,-1,241765,-1,-1,154494,-1,-1,-1,832021,690877,166820,878113,821518,-1,-1,138275,-1,-1,918085,665285,-1,-1,234286,-1,-1,-1,-1,457697,-1,-1,821284,474996,654713,410666,91055,383441,654444,-1,-1,-1,706791,-1,111130,613001,596658,-1,-1,109600,-1,-1,-1,945099,-1,782238,152237,-1,-1,674986,-1,-1,-1,-1,-1,-1,133111,899396,-1,-1,86875,599166,-1,-1,303662,-1,349470,-1,-1,-1,-1,-1,-1,338482,-1,878449,-1,757116,563000,-1,242815,-1,-1,446266,-1,263776,-1,-1,636474,-1,-1,247719,526599,854617,-1,-1,-1,425818,-1,988020,-1,-1,-1,620347,78734,-1,41747,-1,927322,602988,298020,-1,-1,-1,276394,-1,-1,-1,-1,19131,-1,-1,-1,367351,-1,715377,-1,-1,725869,193132,896258,216532,107754,202389,683584,785558,266762,642870,-1,149646,-1,803184,-1,900538,172998,902565,-1,-1,-1,-1,730871,-1,-1,-1,-1,253070,713940,899194,327034,760351,-1,52685,-1,952004,802795,448350,902843,-1,-1,-1,-1,800550,27183,28380,-1,-1,-1,482215,693684,824500,278559,143921,-1,-1,163078,583707,-1,113932,-1,-1,-1,777161,148161,-1,-1,-1,-1,-1,185935,-1,-1,-1,-1,518743,-1,162262,493780,-1,-1,318408,148390,-1,833440,344084,-1,582542,-1,-1,729387,839822,202997,-1,987263,-1,188648,-1,82914,-1,-1,-1,958575,-1,-1,727006,-1,583582,276438,93663,-1,869218,683369,-1,-1,719357,-1,-1,338269,304702,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,379908,807137,-1,-1,765286,-1,-1,548527,-1,647541,-1,745013,620627,887507,-1,637842,797272,-1,718180,161769,644612,-1,-1,-1,-1,340521,661083,-1,-1,100485,-1,-1,-1,-1,430038,-1,-1,-1,-1,-1,-1,97643,297861,-1,-1,71507,892537,222974,863354,-1,436302,-1,-1,-1,860165,729912,349238,-1,-1,818373,-1,385191,-1,-1,-1,759372,24126,-1,-1,642877,-1,-1,596245,555083,633966,-1,-1,-1,-1,-1,-1,374248,-1,642161,-1,488549,-1,284101,643890,-1,822415,305762,111001,-1,-1,820108,792309,-1,-1,-1,-1,-1,74511,457792,987511,-1,785338,833290,-1,415127,-1,-1,-1,919588,-1,880539,-1,-1,-1,978479,-1,123775,-1,312515,-1,342130,941409,-1,847850,-1,732312,589396,-1,822477,-1,-1,546125,-1,517581,-1,767983,819126,-1,-1,429352,-1,556270,630958,913383,-1,-1,-1,-1,-1,956063,979790,624795,233909,-1,393991,-1,-1,275065,-1,-1,454841,-1,4736,-1,-1,609965,813653,-1,-1,208477,448305,-1,46290,-1,-1,929002,293216,-1,-1,710822,-1,-1,859113,844554,63257,95443,380205,345739,562407,-1,-1,8,-1,-1,92300,-1,754642,-1,-1,588735,-1,235062,48622,-1,186347,-1,-1,895536,-1,426437,946291,259744,-1,-1,476962,557736,-1,303054,-1,871235,498356,187009,-1,-1,138654,89645,-1,991574,204183,-1,-1,-1,-1,897103,976126,731235,-1,755267,659409,248280,-1,-1,275683,-1,468437,-1,315499,-1,-1,449094,-1,-1,-1,946319,-1,371118,-1,-1,-1,247153,883319,980210,740878,550626,-1,-1,-1,455030,-1,-1,-1,377106,564807,-1,777007,436651,991859,-1,-1,227116,-1,-1,-1,-1,991826,782023,706473,-1,188445,-1,-1,-1,-1,-1,-1,-1,622358,-1,-1,574662,6522,-1,-1,-1,-1,132872,-1,737485,-1,-1,-1,959078,722681,-1,603309,-1,918491,372761,35326,30300,110048,-1,-1,885094,485448,-1,407376,-1,-1,908488,-1,-1,583771,261776,879554,66261,-1,287059,-1,-1,-1,105168,796339,978274,-1,-1,593825,834322,460076,340444,-1,978458,39008,-1,199493,-1,-1,-1,-1,-1,-1,196000,121892,-1,699850,451537,-1,-1,630265,-1,-1,-1,-1,976423,910419,-1,-1,-1,-1,390904,957174,-1,-1,777407,-1,-1,-1,-1,-1,612095,830648,268499,-1,887173,463049,571585,368467,200530,-1,378246,892369,931153,-1,604091,-1,517404,974463,-1,-1,-1,233451,617647,-1,985007,-1,-1,-1,968366,863975,327345,44574,-1,743839,234165,-1,418768,-1,-1,-1,-1,245568,-1,400518,359841,-1,-1,671785,680995,688601,248660,17605,-1,671564,340855,174833,-1,-1,197226,-1,-1,46246,978043,-1,517225,-1,-1,313917,-1,647661,-1,-1,2222,-1,-1,565712,477483,588103,-1,-1,254433,-1,-1,933258,-1,210477,479714,395145,775283,-1,181891,276518,909926,-1,-1,-1,261192,809523,282613,-1,-1,-1,-1,526161,-1,-1,53677,-1,-1,-1,-1,-1,-1,-1,556543,-1,-1,-1,461596,-1,102152,-1,312355,96768,343787,584543,308635,-1,469247,198263,-1,-1,-1,424807,521310,373862,-1,-1,616452,507840,39751,58990,-1,-1,512288,505511,-1,-1,372614,996647,-1,-1,-1,-1,-1,98277,-1,258050,-1,679164,-1,953660,680009,315186,-1,476819,924137,-1,-1,550376,696499,152417,-1,294299,785748,939576,-1,680019,-1,490007,-1,762664,6333,245811,-1,603085,242098,370675,778041,848273,150610,-1,-1,-1,-1,-1,-1,426068,-1,-1,-1,-1,-1,482307,301272,620370,-1,97379,-1,41621,-1,-1,-1,543018,-1,345762,985097,-1,654169,323524,329395,31150,-1,-1,-1,584545,589376,-1,-1,93538,-1,349251,411511,-1,815861,441491,601892,551363,13459,-1,730580,-1,743409,693674,-1,-1,-1,-1,-1,348758,-1,-1,985377,219773,460252,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,292115,-1,-1,22069,694481,-1,885103,852441,600269,694978,-1,-1,-1,552810,-1,866277,-1,292137,-1,787735,15007,-1,-1,-1,-1,-1,-1,335251,-1,-1,35389,342975,305317,-1,214781,-1,-1,-1,-1,318646,454323,61663,-1,68849,-1,553339,-1,656397,607198,-1,-1,-1,-1,702321,737677,709301,612315,605454,-1,961582,901533,759726,-1,415646,-1,679958,-1,-1,-1,-1,-1,294772,741201,446665,765829,836064,898813,430436,-1,259416,-1,642776,-1,380781,211217,-1,253106,610436,-1,-1,-1,512485,486892,-1,18710,160830,199506,-1,65764,-1,857172,950382,30147,531004,-1,504759,-1,299463,432936,784115,-1,237296,365391,-1,932752,652175,922918,870733,-1,-1,585565,532524,-1,128817,350048,-1,457446,-1,-1,193184,958243,-1,999228,935349,967960,581302,355154,-1,-1,958216,633309,-1,428793,-1,883855,821521,543961,-1,857680,-1,-1,395305,266474,-1,-1,147437,-1,694129,540356,-1,546937,-1,7540,-1,284991,-1,-1,502803,-1,-1,-1,368985,-1,-1,-1,630052,-1,-1,709207,-1,-1,-1,100320,312767,694237,620724,-1,726781,-1,119130,-1,246691,-1,-1,172144,525099,703455,166925,984729,345269,418082,124562,-1,-1,-1,539712,-1,810286,-1,-1,-1,-1,-1,-1,844069,-1,-1,-1,602303,-1,-1,-1,650134,-1,467472,989803,331941,125102,-1,-1,-1,-1,153063,270730,55116,956048,-1,-1,-1,-1,536412,678177,324346,-1,707398,80084,-1,316397,369644,836778,366220,253359,-1,-1,990892,895535,681699,6282,992138,-1,93084,712059,431199,712728,-1,647613,-1,-1,-1,-1,320102,-1,-1,-1,908460,902785,-1,12103,666001,294274,816752,-1,412103,987763,-1,-1,217724,-1,-1,247228,349830,14925,159095,24315,947130,-1,-1,-1,-1,-1,-1,621834,-1,207153,690290,-1,-1,-1,-1,631152,613031,32163,-1,173911,378918,-1,-1,-1,188174,-1,496576,-1,-1,959599,367035,371654,91402,-1,-1,-1,-1,-1,9853,387216,727465,295130,714211,-1,-1,-1,491979,673140,586897,-1,-1,966009,408978,629441,-1,-1,184688,-1,113714,844810,-1,329029,882360,167929,-1,906048,129584,999222,487034,658133,974834,198250,-1,-1,644914,-1,37959,-1,877730,170115,-1,972211,853818,-1,139460,518624,172450,-1,914477,729464,-1,744594,700160,-1,848811,643596,-1,-1,-1,396504,-1,-1,-1,-1,-1,986450,-1,-1,539535,885449,423843,519638,-1,213276,-1,73700,887431,-1,-1,-1,584017,-1,-1,975979,344365,-1,599069,-1,107457,837197,-1,-1,-1,966875,-1,-1,39396,99639,910893,-1,385910,-1,-1,863554,914386,915448,-1,-1,-1,193168,193391,69895,925997,954651,82720,-1,657705,396257,-1,288918,692867,-1,508954,976737,-1,458713,-1,-1,822940,-1,107469,418322,-1,315417,-1,-1,479340,-1,-1,-1,850406,-1,-1,216762,663543,953377,-1,827898,296715,900510,-1,42831,452153,344836,460650,360661,-1,631022,126044,565546,-1,290241,68456,-1,-1,758727,990745,-1,-1,87290,266723,584621,697148,-1,-1,256371,-1,-1,330492,-1,-1,-1,337912,-1,-1,790501,-1,-1,888017,277199,-1,87053,-1,691241,550798,-1,-1,-1,946901,551568,-1,560324,-1,95807,288461,-1,-1,-1,902701,-1,599893,-1,30263,519225,959809,-1,-1,496866,713615,-1,926999,-1,-1,280921,-1,-1,699793,-1,626836,-1,-1,-1,606683,-1,-1,190489,561920,-1,-1,926169,249124,-1,125820,103200,644569,983633,-1,-1,-1,567306,-1,40324,-1,-1,-1,966695,-1,745517,-1,959027,300127,91947,-1,593707,565649,35639,44837,382840,-1,-1,-1,-1,76455,344088,716870,-1,65552,-1,473517,941235,-1,895868,462734,-1,-1,539024,416549,-1,-1,-1,165223,-1,164856,-1,754739,16691,967875,-1,750645,160025,456031,-1,59247,423134,517468,219303,333852,-1,561773,-1,981137,906702,-1,-1,236060,-1,-1,-1,223923,371878,-1,-1,-1,988319,451867,134238,365327,220803,661021,-1,-1,-1,208127,469689,536162,-1,127685,914363,-1,956820,-1,735088,709416,797557,938273,926989,439702,-1,-1,-1,159384,830721,-1,595997,-1,282154,340898,-1,-1,-1,406266,-1,-1,261521,-1,834813,123723,-1,4963,-1,863058,306540,265488,190185,603048,-1,677253,-1,-1,-1,-1,-1,496523,-1,-1,-1,-1,277737,-1,-1,-1,281128,976148,-1,-1,910375,305043,-1,-1,250435,-1,713669,-1,873952,814475,-1,-1,467497,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,935578,-1,956625,32393,784333,-1,-1,-1,404340,-1,879762,27362,-1,-1,-1,-1,-1,-1,-1,566556,-1,-1,580778,-1,-1,49436,444794,-1,-1,-1,-1,235850,-1,784933,574630,-1,38394,-1,247167,-1,358597,914014,398954,292726,-1,-1,969576,-1,-1,373342,95745,-1,861113,-1,696575,875628,596067,481926,-1,-1,-1,352734,-1,986178,-1,-1,-1,-1,-1,368649,-1,-1,-1,876126,76140,-1,-1,-1,913604,-1,-1,572112,631342,-1,-1,-1,-1,-1,368558,2388,515758,557012,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,217603,-1,421669,460279,-1,810941,-1,-1,-1,-1,-1,235088,961019,-1,-1,892856,65177,405086,501259,592934,220688,236664,553393,-1,-1,932041,-1,-1,705811,-1,994947,-1,929403,356604,-1,-1,474947,-1,244921,-1,-1,133940,-1,224246,-1,-1,515356,-1,-1,-1,490754,-1,415832,-1,318690,-1,-1,18962,899228,421721,-1,36058,505538,-1,636007,-1,749144,724043,-1,9815,553480,-1,-1,831914,272412,-1,221648,-1,782326,515647,462275,-1,835264,905793,-1,-1,750217,412,614664,746247,-1,155061,-1,-1,-1,405239,-1,908326,-1,-1,170197,-1,373582,57672,304212,-1,976053,569461,-1,970676,869059,788747,-1,150662,-1,-1,-1,-1,520206,-1,-1,-1,944147,162166,-1,959236,-1,-1,185317,853777,181977,-1,877512,-1,-1,273352,913217,747526,285149,-1,124580,-1,-1,834738,40681,-1,431556,-1,354646,-1,-1,189417,196395,618131,209738,658070,611421,320364,484761,345101,22413,838183,-1,-1,468860,-1,-1,461015,-1,-1,200674,599078,936687,-1,952499,31552,926554,-1,-1,-1,-1,-1,65396,-1,-1,567702,-1,-1,934808,933955,-1,94324,544353,-1,-1,-1,440281,-1,-1,277825,-1,461722,228976,-1,-1,85006,-1,-1,-1,779565,-1,669090,918866,492073,728830,-1,-1,-1,421264,-1,-1,-1,122922,-1,828337,-1,981295,-1,-1,-1,-1,-1,-1,28441,-1,860156,-1,996316,-1,856679,-1,-1,-1,-1,-1,588808,395586,-1,331669,-1,641571,757691,-1,-1,962180,-1,741191,730401,-1,486565,-1,821684,42114,-1,-1,-1,-1,-1,176228,-1,518755,909132,354369,97977,-1,980770,-1,377688,252498,-1,902218,-1,-1,-1,939170,-1,126213,-1,983830,-1,629613,525152,-1,-1,-1,-1,314825,-1,-1,-1,235289,779666,534197,-1,57773,-1,534060,-1,-1,454716,444747,-1,-1,572347,-1,-1,475824,876327,468025,-1,-1,937833,803033,540071,-1,989928,-1,957374,531908,-1,-1,377329,-1,899693,244279,-1,-1,817736,59157,588596,441404,906041,904913,556769,389405,406001,535791,-1,-1,705519,-1,-1,-1,-1,401893,79740,513931,582892,-1,480103,-1,831442,991386,-1,-1,-1,-1,-1,-1,-1,408096,742681,76614,405649,508825,277577,692028,154465,-1,-1,596285,192678,-1,197206,-1,91212,488330,55548,104645,-1,113896,-1,-1,-1,-1,93852,-1,-1,-1,465248,-1,-1,-1,-1,-1,-1,-1,100928,-1,-1,86600,196930,-1,-1,-1,-1,474544,959411,248093,-1,804774,-1,-1,691948,-1,-1,648514,-1,-1,-1,-1,-1,794335,-1,-1,-1,704615,-1,-1,756517,310054,125459,-1,810116,-1,215048,-1,801140,-1,146358,923665,-1,-1,-1,-1,-1,-1,562311,-1,-1,473069,930243,-1,-1,-1,-1,891705,490330,259182,-1,834347,248406,480196,-1,721440,-1,286,3083,365334,-1,-1,9625,-1,37217,980917,924585,417171,-1,-1,-1,-1,-1,160380,-1,-1,-1,-1,785157,-1,-1,-1,-1,185199,735644,911354,361351,-1,748052,442576,-1,-1,247339,549143,-1,-1,127719,513306,-1,980118,-1,-1,635484,412970,-1,595202,463553,454744,-1,-1,-1,-1,-1,68228,461525,653947,-1,-1,-1,-1,657357,987638,604558,384797,-1,195749,-1,430364,-1,812887,628790,-1,-1,-1,75252,760256,990551,-1,949752,-1,849146,-1,61535,855210,-1,-1,-1,159747,-1,754832,-1,368541,911586,178723,-1,-1,783200,787843,740639,-1,305686,754280,434877,-1,505223,-1,-1,-1,253007,112449,459883,-1,894602,854005,742425,-1,-1,414740,681972,-1,377743,-1,-1,-1,550045,185589,-1,493162,-1,931940,-1,-1,645597,-1,375380,254870,-1,-1,317387,90746,-1,-1,457086,586993,826282,842192,-1,297105,21803,-1,651901,-1,688009,675617,556559,-1,389341,-1,540754,741258,-1,-1,617895,82566,-1,-1,26618,-1,571257,522935,-1,867231,757970,-1,-1,339427,300602,975989,-1,-1,669670,339365,595465,-1,536524,-1,470864,339217,-1,312259,899949,-1,-1,-1,-1,52717,373240,347839,-1,301175,-1,637616,241821,80179,-1,-1,-1,280335,916325,-1,-1,-1,-1,-1,-1,-1,922681,302939,757479,-1,-1,928876,-1,-1,78253,105983,-1,-1,973466,-1,-1,885086,968326,-1,481181,-1,890322,31024,-1,-1,-1,-1,871764,414116,-1,381956,103640,-1,-1,187047,-1,668434,933984,574941,-1,-1,277702,327643,-1,-1,-1,-1,890162,-1,-1,-1,625407,725036,-1,-1,-1,944994,897376,600358,-1,564674,-1,-1,-1,-1,-1,-1,38281,740160,-1,-1,476888,554318,44144,-1,-1,200506,-1,-1,178362,-1,956838,237574,619192,-1,-1,980962,-1,529546,551762,716787,700957,666989,687226,601945,-1,-1,-1,-1,-1,159953,-1,-1,64062,447527,807899,-1,-1,-1,-1,860852,589234,142713,-1,336457,393821,-1,-1,774294,-1,128831,-1,689185,44798,233760,-1,-1,-1,-1,-1,130537,-1,434126,-1,-1,934913,888499,561382,67363,-1,-1,-1,151885,-1,914264,115156,-1,-1,-1,902679,894290,763372,-1,-1,-1,-1,253295,-1,-1,-1,448286,693492,261009,-1,-1,662226,67296,-1,-1,-1,-1,-1,951028,184550,-1,-1,-1,844244,-1,784021,-1,-1,-1,-1,864578,-1,575045,-1,-1,14035,-1,-1,-1,-1,343757,9742,-1,-1,-1,511764,-1,-1,209129,-1,-1,-1,-1,-1,-1,-1,587312,-1,-1,7544,-1,303020,487283,-1,-1,-1,428533,429386,5102,-1,-1,155616,102341,403515,-1,-1,68980,675885,80678,-1,354301,350217,-1,869403,-1,-1,809818,-1,-1,296651,422666,926073,407932,13768,629680,-1,710923,333088,561200,-1,420634,-1,725841,251476,898930,891168,-1,-1,684598,221363,-1,-1,-1,406407,-1,861202,-1,-1,482159,665612,-1,840075,-1,-1,133830,65318,710564,3414,492075,-1,566349,-1,-1,-1,-1,-1,-1,-1,574551,645944,-1,481705,472121,-1,-1,268249,82315,689523,-1,-1,-1,-1,840778,481937,41651,-1,-1,483135,-1,695810,-1,-1,-1,-1,-1,10664,988550,-1,646956,-1,164281,394563,-1,-1,538341,-1,-1,-1,823995,22754,-1,569005,-1,834432,-1,-1,398299,854478,847465,-1,643010,70077,91939,253616,-1,-1,385009,-1,589154,695578,-1,-1,-1,606433,-1,-1,-1,-1,-1,-1,104734,-1,-1,75154,-1,-1,790548,-1,-1,-1,75145,964033,-1,25273,952181,-1,533081,861191,-1,-1,653415,126655,35766,-1,403030,-1,-1,578927,748842,-1,289560,-1,352399,-1,-1,11064,622484,-1,210504,-1,-1,673,-1,829649,48251,-1,281960,-1,709357,346624,-1,622988,-1,-1,486148,942850,-1,-1,44346,88969,-1,-1,-1,285346,-1,664398,-1,-1,635303,229824,-1,-1,390252,-1,849301,122310,-1,916288,-1,69448,-1,574470,-1,699713,456458,496464,820990,846315,460344,-1,-1,840289,240930,420308,638306,-1,-1,-1,-1,-1,-1,-1,209526,-1,53298,439257,-1,-1,-1,144758,419310,-1,-1,413527,7301,-1,-1,-1,-1,437221,-1,481638,942953,-1,-1,-1,-1,-1,-1,887367,-1,124699,27348,398378,251840,207717,184818,-1,315647,910925,-1,550859,-1,-1,549976,-1,-1,187908,642495,772840,372352,101722,258756,989639,163936,876215,-1,-1,-1,76129,107501,326054,152257,-1,746085,296559,804592,-1,-1,-1,676256,569336,-1,-1,-1,-1,-1,741233,541604,356123,-1,-1,-1,-1,673636,-1,-1,632665,-1,-1,-1,-1,-1,-1,850952,-1,-1,-1,344451,-1,178760,723485,-1,431595,-1,-1,-1,12432,-1,-1,-1,443543,995948,-1,621483,-1,-1,944969,-1,296275,305385,61103,763350,344233,406800,411430,-1,172153,-1,2697,929860,-1,880757,73877,-1,531946,-1,-1,-1,434303,219719,249262,232078,-1,-1,-1,-1,-1,-1,-1,220828,-1,599112,492327,-1,143393,-1,-1,-1,989054,235802,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,870594,138868,331967,2552,631848,2023,-1,-1,652773,804321,-1,-1,-1,-1,-1,696301,-1,-1,-1,-1,-1,519982,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,288540,845877,-1,774446,491349,-1,130001,-1,-1,-1,991579,-1,861005,955515,-1,-1,-1,559858,947279,-1,-1,88700,167660,-1,184051,-1,-1,-1,954955,407115,957281,59389,531527,-1,368536,-1,-1,367306,-1,-1,-1,738343,-1,876773,388346,-1,-1,-1,921181,847889,-1,-1,-1,767009,-1,330207,103715,-1,-1,370166,937116,-1,1267,656819,-1,-1,-1,-1,153272,471116,-1,-1,-1,-1,-1,198569,975138,-1,-1,-1,-1,597209,-1,263352,23917,-1,-1,535302,739698,682719,20054,191811,168424,710561,-1,-1,432497,-1,-1,20860,120100,226179,-1,-1,849410,-1,217443,-1,-1,-1,-1,119030,-1,658831,-1,836938,-1,593225,-1,508499,326292,-1,342252,-1,-1,402656,740409,16525,474963,-1,682609,-1,707568,-1,-1,240643,779857,-1,40949,-1,787137,859285,-1,433626,-1,-1,858717,875011,550492,-1,-1,694441,-1,450567,-1,-1,-1,-1,-1,-1,-1,-1,-1,399926,-1,-1,-1,400653,-1,-1,-1,325056,-1,603246,-1,463421,-1,780261,504776,-1,-1,75806,780246,608961,292863,-1,32401,784201,720509,-1,449483,579426,-1,431275,181536,-1,127183,-1,955692,947307,395436,-1,-1,-1,-1,-1,-1,-1,68426,-1,-1,-1,-1,834901,687850,-1,-1,-1,245863,-1,661968,307253,72749,553765,961890,260969,335292,-1,-1,-1,874876,-1,-1,-1,-1,-1,-1,-1,-1,89831,148212,587513,126905,-1,-1,927709,-1,-1,-1,-1,700968,357081,-1,-1,-1,-1,-1,234476,-1,-1,-1,718994,202664,60670,419556,-1,209966,752103,294054,366620,-1,-1,-1,-1,-1,648490,694422,277696,-1,-1,676129,-1,-1,-1,2667,824097,-1,582798,-1,-1,-1,854024,609874,-1,871575,871705,871830,-1,-1,-1,-1,-1,796636,705350,-1,-1,605602,149984,217184,-1,861660,828877,-1,-1,-1,-1,986893,-1,-1,-1,79873,751356,171877,703831,451249,-1,-1,252191,751533,217000,559767,-1,-1,-1,51950,660986,-1,-1,-1,22227,817668,339319,457728,-1,-1,-1,-1,812932,-1,-1,-1,719915,549561,18334,-1,423260,-1,737360,190486,3379,-1,-1,-1,-1,939853,-1,-1,915209,460116,-1,-1,777521,-1,-1,545325,845760,312906,-1,247568,-1,-1,-1,531107,288024,-1,-1,850080,-1,-1,-1,495391,820771,-1,-1,704513,813361,-1,-1,591583,-1,-1,340603,-1,-1,-1,24845,68990,131166,998172,-1,120202,715225,-1,-1,-1,965591,842386,-1,-1,-1,-1,-1,421966,400951,192827,-1,853570,-1,816883,-1,-1,34743,399870,121856,377559,4557,-1,280046,909765,-1,17015,41417,286075,-1,881204,-1,337990,-1,929876,28513,-1,-1,-1,707592,405756,92591,-1,26085,-1,985179,-1,-1,-1,-1,267771,522324,-1,-1,-1,-1,-1,-1,-1,703522,796374,117844,-1,271539,-1,-1,34613,721616,-1,675280,-1,588462,-1,-1,49944,-1,-1,771411,933226,-1,-1,-1,-1,756750,-1,-1,48201,-1,-1,-1,573308,-1,410964,620110,316751,-1,918063,-1,-1,116521,93413,-1,697131,867193,58177,881647,-1,-1,30475,173354,817880,88836,240424,217615,-1,-1,725592,-1,-1,-1,601004,230609,480436,59782,-1,291893,610685,-1,-1,-1,-1,-1,-1,448623,296476,295619,915327,137948,785517,935212,170845,648908,-1,552061,290334,-1,-1,728051,-1,472702,672103,-1,899306,249530,-1,-1,189183,-1,119453,-1,17615,144354,814512,594235,-1,294510,22799,-1,239527,-1,-1,-1,-1,-1,-1,939451,56382,795274,-1,-1,-1,936395,10256,275146,835126,-1,-1,256717,257723,-1,136687,650218,-1,30644,-1,-1,-1,-1,-1,-1,725393,-1,-1,-1,765559,-1,473454,625024,708748,-1,-1,900554,520493,456690,-1,-1,-1,616502,639564,-1,-1,-1,882759,202986,-1,727474,879896,683602,188897,-1,-1,47762,447168,-1,-1,921298,33830,327414,-1,-1,850504,174504,-1,170499,-1,-1,-1,-1,368736,401206,989249,-1,764708,592212,259923,-1,459138,-1,502572,753740,791897,554619,-1,-1,142053,-1,-1,447537,-1,585778,196328,-1,80535,751231,751313,-1,-1,-1,919276,-1,371195,-1,379181,-1,-1,328256,739270,170121,-1,-1,-1,714899,158192,91878,-1,-1,102462,573182,858824,-1,324789,295916,-1,891250,-1,-1,-1,308813,-1,-1,483285,105346,898904,-1,-1,887242,524336,-1,464516,4822,-1,-1,-1,-1,923484,-1,-1,969997,-1,-1,825365,11075,-1,552731,384524,-1,-1,363987,593314,-1,-1,-1,474424,162201,772668,350461,370849,600435,446521,844029,-1,-1,-1,595162,355207,922662,-1,213669,281543,-1,152818,-1,840736,523403,961863,-1,-1,-1,736361,-1,-1,-1,-1,846018,131438,-1,595076,141335,-1,5317,202021,-1,-1,821239,-1,-1,608366,336345,-1,-1,664853,731974,-1,-1,605947,-1,817274,367186,-1,919023,-1,-1,-1,-1,-1,506623,284562,-1,560747,-1,-1,-1,331267,257480,929374,224737,114120,-1,-1,423632,-1,304032,-1,913428,-1,947175,-1,62978,-1,-1,850939,69650,-1,915696,-1,161517,220298,-1,942847,-1,250673,-1,745464,41138,40122,-1,-1,327008,34356,-1,-1,30039,-1,634378,-1,355908,-1,-1,-1,-1,100733,91029,-1,456672,-1,819151,393915,-1,-1,507032,-1,470952,-1,-1,-1,598456,-1,584896,567171,178355,-1,-1,567228,560542,677991,802583,334445,484338,-1,297669,917819,-1,-1,594651,704809,-1,-1,-1,-1,693704,612104,-1,872183,-1,-1,-1,-1,503231,129418,-1,772982,-1,211555,-1,510071,4275,-1,-1,-1,-1,208842,664094,-1,131851,665332,-1,370816,-1,457099,-1,-1,-1,-1,226389,354522,-1,982826,-1,328072,-1,-1,843178,-1,-1,400117,-1,-1,216718,-1,-1,974816,186243,183306,645540,94354,777429,-1,-1,-1,-1,-1,-1,-1,496587,-1,-1,869215,-1,695091,-1,636723,648985,-1,-1,957602,804857,653751,-1,608299,854735,626661,756102,161198,918722,281537,-1,827443,-1,859244,-1,-1,990749,-1,-1,-1,-1,-1,-1,-1,-1,74796,26794,139554,-1,-1,-1,44527,220099,981005,-1,463272,776953,-1,-1,-1,-1,-1,162179,-1,-1,709790,877632,-1,233269,252624,977860,682543,-1,-1,499944,992950,593433,269267,71385,204415,-1,-1,-1,-1,-1,-1,883590,487088,661988,381742,-1,293767,337019,531699,-1,603662,-1,-1,778409,-1,-1,-1,429137,-1,934638,979959,961649,152899,-1,-1,-1,805936,342445,-1,-1,6528,479077,-1,-1,501099,-1,2911,196908,737465,-1,601402,182630,-1,-1,-1,-1,7512,201499,232475,736660,88769,-1,-1,979395,720743,502148,53701,-1,19353,-1,-1,-1,-1,-1,191933,-1,171662,718270,466824,-1,-1,345155,606252,-1,-1,13370,822592,914256,659914,-1,-1,-1,804840,-1,125738,42619,474444,566263,-1,-1,-1,-1,-1,-1,-1,113469,105174,646960,-1,299446,499441,-1,-1,962171,-1,-1,602182,-1,-1,-1,783726,724965,-1,433719,-1,881631,859263,170067,-1,223029,951117,-1,-1,151230,-1,-1,433311,-1,-1,680992,-1,-1,641136,-1,-1,-1,455418,468352,-1,272131,955888,-1,-1,-1,810047,-1,663486,169797,973781,17438,-1,-1,-1,-1,-1,435163,-1,-1,421913,874398,287725,-1,-1,345348,-1,-1,-1,-1,215467,777171,-1,281442,104805,558230,434846,-1,-1,68628,85446,-1,183169,621737,404384,-1,793767,17868,-1,-1,-1,-1,-1,-1,-1,715323,712009,103431,787311,-1,-1,884071,-1,322589,272244,512130,412605,811992,-1,-1,-1,-1,-1,171104,-1,-1,922047,261802,-1,-1,-1,-1,-1,-1,-1,-1,168088,257541,-1,292670,717508,156109,997604,-1,161694,-1,632376,-1,-1,-1,250149,-1,172830,-1,761321,-1,-1,236088,-1,376154,708496,-1,-1,713833,202694,437156,-1,476143,-1,626589,625799,-1,-1,407788,-1,541642,-1,872065,-1,-1,-1,645171,-1,-1,-1,-1,362211,263428,936455,788800,246116,802395,-1,-1,425680,-1,-1,-1,-1,-1,-1,916078,-1,263172,-1,-1,-1,146572,627423,-1,-1,-1,-1,-1,82520,-1,935097,-1,425053,259159,-1,-1,-1,-1,-1,759596,673860,-1,-1,675345,-1,-1,322795,147545,-1,655472,332718,464177,897025,841750,883454,-1,-1,-1,-1,-1,533474,148631,-1,-1,4386,637019,-1,-1,-1,-1,763130,289660,49468,-1,-1,267254,788293,-1,-1,60558,148835,954472,229086,-1,526506,582875,-1,-1,-1,-1,-1,202888,-1,496900,368102,371665,-1,336853,907502,409849,-1,657477,-1,155001,-1,-1,-1,416901,519525,47057,236128,-1,-1,435734,377256,245128,-1,372854,-1,-1,809709,-1,57190,193375,-1,736303,627471,531928,247925,-1,-1,-1,-1,658676,152893,123543,737140,98848,93757,-1,-1,-1,688785,307266,576637,-1,772306,-1,486942,431500,147171,-1,-1,-1,44792,-1,866907,922996,-1,-1,5810,-1,689476,11206,879979,-1,-1,480073,-1,902952,905822,875643,-1,487645,-1,317469,104960,-1,-1,-1,538727,623555,4849,-1,758409,-1,-1,-1,-1,-1,-1,-1,455081,-1,-1,890265,-1,801152,-1,828106,-1,382809,-1,-1,492743,-1,218465,-1,68930,272734,-1,-1,-1,-1,594146,558936,-1,-1,-1,913360,-1,101344,310102,-1,131375,-1,-1,-1,-1,-1,-1,998138,-1,497700,-1,144052,693329,11044,31916,-1,10303,-1,-1,-1,-1,-1,-1,180540,-1,446841,-1,760628,-1,-1,466187,-1,-1,-1,587335,106918,-1,-1,762851,358078,-1,-1,800480,119233,-1,-1,-1,435371,922372,-1,-1,-1,932770,703321,-1,-1,-1,950100,93748,-1,-1,-1,-1,288217,472959,289782,-1,362341,506668,643498,-1,468381,467052,-1,271964,-1,-1,-1,-1,-1,-1,-1,685853,-1,-1,872428,-1,478553,-1,-1,705239,-1,-1,703173,9424,-1,514534,251414,46018,-1,653880,-1,770033,-1,631461,899707,79356,-1,690969,-1,369232,-1,323203,-1,-1,-1,-1,-1,-1,241259,522355,598159,-1,240349,622894,-1,923511,939693,736725,-1,341936,-1,845864,368042,789357,-1,-1,-1,492262,-1,897549,127186,-1,-1,-1,-1,-1,414928,173622,-1,-1,422677,482535,-1,-1,-1,151233,-1,516798,965823,-1,-1,893621,-1,-1,-1,716298,-1,-1,481783,701943,-1,671181,-1,340648,-1,385724,554379,-1,-1,-1,464778,-1,-1,752523,-1,-1,117525,-1,-1,-1,-1,-1,212311,842309,909144,-1,211424,470957,-1,767680,-1,-1,-1,776469,378005,-1,254961,-1,-1,581555,-1,-1,64986,54638,-1,25866,-1,-1,79618,-1,644673,-1,592910,908522,926386,496528,352971,-1,-1,375981,-1,-1,835726,444011,-1,483757,-1,121204,-1,-1,765186,-1,-1,348752,-1,347673,-1,910330,-1,478502,-1,677982,636098,-1,-1,582740,-1,-1,-1,613806,-1,758615,251712,886856,223359,848905,-1,545142,-1,959059,570986,548273,-1,-1,-1,409317,911019,27974,35002,383230,-1,567311,-1,-1,-1,899192,-1,-1,203094,-1,-1,819577,21526,842326,351328,270757,162490,706877,430750,-1,63560,231111,-1,-1,674355,-1,-1,620631,-1,110636,70260,-1,147822,831419,15479,729808,781162,313239,305287,-1,764931,-1,-1,535200,331389,-1,-1,836037,363398,457083,474775,-1,828216,-1,70401,-1,608431,36085,-1,-1,6955,126108,-1,448012,182244,248592,267625,894633,90008,-1,677251,960986,-1,-1,380658,-1,-1,828948,-1,-1,946448,-1,747039,246889,-1,54115,261274,-1,-1,-1,-1,-1,734513,602297,-1,-1,-1,885250,-1,430656,982666,-1,174840,-1,266622,-1,-1,987369,362785,-1,-1,-1,825309,676130,123677,691767,-1,928413,452207,67687,772544,828927,-1,505678,-1,574400,194369,-1,604770,-1,764285,503467,579777,401751,675596,531612,730598,865515,-1,-1,13807,74736,-1,975605,24042,-1,229567,-1,768316,670339,-1,-1,-1,-1,-1,356524,-1,-1,936357,-1,993468,834909,640258,-1,-1,-1,-1,-1,-1,-1,971010,876853,366837,453318,-1,-1,124245,632504,802277,-1,558082,-1,-1,-1,-1,418871,956160,935095,529645,815404,146827,490212,992944,-1,-1,382461,993683,130366,-1,-1,348265,-1,511102,163150,-1,-1,-1,-1,250803,616483,-1,-1,-1,-1,794058,-1,679341,-1,-1,589431,329359,-1,815106,-1,-1,528698,-1,-1,-1,368867,-1,-1,-1,-1,-1,-1,55264,927011,496443,-1,-1,-1,76974,740461,-1,426884,-1,686690,95279,-1,-1,-1,876012,832036,-1,-1,200150,394932,-1,400035,881263,970349,-1,874000,-1,513432,-1,310009,-1,268517,-1,-1,685389,-1,-1,-1,104978,140207,-1,679359,-1,379835,917519,-1,661349,25545,-1,659693,-1,-1,545092,960727,-1,521333,-1,-1,-1,-1,182081,-1,943233,533746,-1,873277,-1,-1,-1,340025,799468,-1,923395,994365,850895,-1,-1,493156,823023,-1,-1,-1,-1,-1,-1,-1,102692,254168,980496,858335,348206,-1,487504,739399,-1,349474,688023,-1,-1,-1,-1,-1,459791,-1,-1,-1,-1,382663,-1,-1,935689,-1,-1,-1,309877,-1,-1,29690,4367,396508,-1,876707,237282,763560,363070,862481,-1,996834,529463,276854,50163,-1,817040,788706,358230,-1,-1,777775,-1,-1,912783,-1,521311,-1,-1,20467,-1,211196,-1,468160,977029,-1,9789,-1,66001,-1,-1,381428,424333,-1,-1,-1,-1,-1,-1,-1,-1,511390,-1,745243,-1,462667,365527,-1,319553,569890,-1,89432,-1,-1,607894,710446,-1,654997,485907,-1,-1,861889,769735,751905,43699,-1,326262,-1,-1,-1,-1,-1,-1,56082,-1,-1,-1,517868,-1,897589,963263,573135,-1,837849,991695,-1,-1,-1,469088,786011,-1,-1,500841,312572,-1,-1,696507,-1,-1,-1,816671,-1,-1,5748,-1,429440,465265,-1,577441,873561,173268,-1,952085,590427,917678,558977,626664,-1,435277,749862,-1,892323,800792,893300,-1,-1,193098,818158,-1,-1,888013,-1,25258,826401,-1,182620,669976,79236,325527,-1,99340,997814,-1,607978,488596,-1,-1,861529,571427,-1,80303,349437,318405,681159,390826,-1,734049,-1,-1,837013,639831,46061,-1,-1,5452,941870,262255,406827,115902,-1,358874,505674,-1,599828,-1,305143,905672,790562,-1,-1,658168,-1,-1,-1,-1,-1,-1,-1,426715,973414,544735,587966,-1,533088,748297,223577,-1,645993,-1,953722,-1,144742,548777,-1,593437,220034,-1,412926,-1,825188,-1,-1,769665,112569,854286,968317,493123,406748,-1,-1,953472,-1,-1,171625,-1,968884,38033,218379,660545,464460,-1,738437,274418,-1,107344,-1,-1,903284,-1,-1,-1,-1,808427,826835,-1,689118,-1,-1,-1,384326,-1,878842,548431,432545,981669,-1,-1,505673,781088,-1,-1,-1,579014,-1,-1,-1,-1,940689,455149,328214,-1,-1,-1,332320,-1,690389,155040,-1,-1,-1,695274,301235,-1,-1,-1,843268,-1,-1,-1,832149,159458,30768,153482,731097,941456,-1,-1,-1,969020,782349,272118,435672,766224,881912,560314,270282,-1,-1,-1,632145,114473,-1,490776,31677,725960,72563,26663,450210,-1,628986,-1,-1,964264,183610,363029,372838,-1,307758,19738,-1,-1,-1,-1,-1,258744,-1,927291,-1,497434,-1,378353,26491,719609,375979,-1,485220,-1,-1,-1,353517,277898,239902,817911,254025,696349,-1,-1,-1,-1,-1,974247,-1,963524,222731,511816,665562,451718,138487,-1,-1,102151,5258,673296,-1,-1,-1,729004,44424,950287,-1,-1,686198,481925,-1,-1,688786,-1,765258,-1,-1,808087,-1,-1,-1,127442,-1,-1,-1,-1,-1,108449,-1,376694,497994,302610,749452,-1,510472,568878,558603,-1,541847,-1,-1,518219,-1,910771,937973,-1,-1,-1,-1,967559,-1,-1,16921,716084,940684,812593,-1,-1,-1,777054,-1,-1,-1,-1,-1,-1,99067,218240,-1,-1,852596,624772,-1,439970,450942,78283,55971,-1,-1,881604,163673,592016,-1,955751,669977,655232,155625,265706,666373,-1,-1,-1,328079,727684,-1,827221,-1,-1,768218,481595,324229,917054,-1,729814,-1,414014,958930,-1,-1,88477,64003,-1,-1,200535,-1,227510,-1,-1,108017,-1,-1,-1,-1,-1,155747,-1,852644,338041,-1,866259,-1,341204,-1,185416,259470,141343,-1,672025,671934,406924,738454,448680,408418,-1,121849,-1,-1,-1,-1,-1,-1,-1,-1,998151,494975,508395,252666,636795,856725,672026,124070,-1,-1,969375,479415,-1,203034,-1,314957,-1,959933,-1,505244,-1,-1,-1,616045,167017,-1,445529,819175,913633,460331,-1,385422,2076,37894,-1,567786,-1,-1,83943,-1,-1,237697,438289,895748,-1,-1,597500,-1,-1,561069,-1,-1,558501,-1,-1,-1,454173,792073,-1,-1,-1,808895,588230,587842,-1,889848,27510,358931,-1,-1,-1,-1,-1,905755,-1,130795,-1,550132,-1,79718,-1,-1,-1,-1,-1,879196,168781,826772,-1,262726,815886,695950,696447,-1,-1,744951,354746,549720,939962,36557,822154,433062,-1,669396,-1,253783,997336,-1,-1,97357,-1,79683,-1,-1,356271,346634,-1,-1,-1,-1,286118,-1,-1,-1,-1,327647,763321,639824,506593,221788,-1,255077,70418,151498,246089,-1,-1,-1,-1,156053,724347,-1,-1,-1,-1,725093,804630,-1,728065,-1,-1,56153,297217,-1,915819,-1,138374,-1,199780,347693,905886,680936,486989,-1,461730,-1,459389,971113,67279,454965,646232,782735,508729,-1,115246,800627,-1,214714,-1,681858,384033,439071,764368,-1,715001,-1,816200,-1,345260,887719,-1,-1,-1,-1,214584,-1,408389,678076,850556,-1,-1,750209,419234,-1,-1,-1,594971,788728,465706,352585,-1,815688,299343,-1,813294,-1,59272,342680,704456,366832,526414,612962,262704,14170,148899,-1,-1,638197,635117,-1,-1,-1,395620,652085,-1,-1,584776,-1,272832,622119,-1,332248,907972,822863,-1,971187,712903,252079,377224,-1,-1,-1,954079,963454,861346,780122,-1,-1,959364,-1,71591,-1,-1,-1,482055,650170,177635,-1,-1,627158,-1,580158,-1,755940,77657,688857,517243,492768,-1,575008,976000,-1,104731,327164,236819,254352,611847,98952,-1,-1,-1,-1,-1,-1,-1,961037,623425,-1,-1,-1,199053,-1,-1,509067,199516,896175,281939,238347,232201,491158,966864,920934,433621,-1,28734,-1,495214,527685,-1,941095,-1,-1,898950,-1,143767,-1,464031,-1,-1,-1,949180,836339,-1,-1,435538,359310,602930,386624,113512,-1,658643,922701,-1,-1,-1,-1,549669,194421,681282,854214,518119,-1,121861,-1,421579,536020,-1,-1,61922,71221,407252,-1,-1,497940,171617,-1,871485,341731,48967,-1,834240,513231,218225,686409,456096,-1,-1,369486,-1,-1,950559,808776,-1,-1,-1,886669,-1,-1,238370,921710,601498,310967,-1,-1,-1,-1,53779,64810,-1,-1,-1,-1,14436,-1,972972,-1,-1,445157,945422,419009,-1,235472,-1,-1,406578,-1,824464,-1,68992,-1,181913,-1,561343,-1,233523,-1,880869,-1,120848,292995,622980,-1,667016,-1,-1,-1,732432,748720,420974,-1,-1,954012,-1,437557,51571,260283,-1,-1,-1,18733,-1,-1,-1,-1,226171,-1,-1,460436,208282,521835,-1,781892,-1,202564,44548,-1,103325,862114,2733,-1,-1,409156,199195,-1,81087,-1,-1,-1,249084,-1,27044,-1,-1,-1,67653,355345,380240,-1,-1,574753,-1,775047,315679,-1,116474,-1,-1,284928,218728,-1,-1,599651,-1,649752,372287,315263,238267,-1,-1,280252,282813,693063,-1,-1,526786,-1,-1,-1,-1,814358,915656,-1,135225,-1,983568,-1,-1,308763,948035,-1,747348,222642,-1,88445,-1,-1,506537,909931,-1,999600,-1,856707,-1,-1,-1,-1,-1,-1,-1,458527,841081,-1,399788,815259,-1,-1,180296,547419,361134,-1,-1,-1,-1,627805,-1,-1,-1,201991,213954,-1,561580,415867,921300,-1,399159,-1,93509,-1,-1,-1,-1,-1,-1,366157,-1,-1,-1,-1,876791,703580,-1,-1,-1,-1,-1,-1,-1,31811,-1,476815,-1,-1,601666,-1,-1,-1,278761,-1,354698,722850,902490,1543,775550,694631,-1,832164,917005,601497,-1,-1,-1,-1,-1,-1,113876,581544,276945,363630,-1,128352,-1,4342,905963,150372,215195,-1,-1,-1,710016,515425,26600,-1,186002,883566,-1,-1,-1,462993,918111,929584,148669,20286,-1,-1,75986,287715,784869,-1,128209,-1,-1,-1,-1,-1,17505,189069,228869,-1,111009,-1,954798,-1,-1,594493,-1,834863,-1,-1,259488,-1,596547,-1,-1,-1,425507,76819,254275,-1,444404,-1,-1,76527,144588,278717,-1,-1,-1,480981,792552,592628,-1,70351,-1,657850,-1,-1,32927,167757,-1,-1,398754,-1,-1,299504,-1,857434,-1,-1,-1,448628,-1,900118,955480,36950,759232,-1,-1,714853,-1,-1,275392,-1,772747,21346,-1,-1,-1,-1,184558,-1,18432,239145,12645,-1,921272,-1,60855,387455,-1,-1,709709,103141,68299,307660,111893,-1,633331,-1,712149,-1,-1,-1,938237,156451,885232,165471,647054,522059,959779,-1,634344,515760,-1,493200,867971,224198,-1,-1,949812,708660,921464,397116,287375,-1,-1,-1,-1,120102,245298,-1,866876,449692,418654,921380,812884,791121,-1,-1,-1,667155,-1,-1,-1,-1,191100,-1,-1,427011,910424,624777,-1,783352,762014,377271,742316,4269,749360,154801,499608,-1,435727,4983,-1,593058,388015,-1,-1,-1,-1,421878,182913,893046,612146,744436,544656,961642,28182,-1,135554,804605,226041,252106,-1,-1,730495,907472,582884,-1,-1,-1,-1,-1,854862,511602,916857,543719,-1,386064,564998,718962,-1,-1,-1,-1,-1,309711,446272,279763,772969,831735,548441,-1,554594,-1,586119,-1,-1,-1,-1,389655,-1,491473,334491,565463,-1,557020,-1,552856,-1,423220,-1,-1,-1,911655,-1,-1,-1,-1,899629,406805,-1,676494,699325,185812,-1,-1,908913,587585,-1,-1,367565,594794,-1,88201,-1,333660,615834,-1,894370,-1,763815,-1,-1,-1,-1,-1,226398,518194,737006,210458,51593,946839,72934,268544,505643,581034,-1,742402,500622,-1,435557,-1,269967,-1,242008,-1,-1,861433,-1,-1,96922,951054,6303,309901,-1,-1,-1,-1,-1,789421,-1,-1,556687,-1,-1,-1,-1,532091,-1,153322,27306,442958,316218,894840,-1,668311,90091,-1,257347,936113,-1,-1,-1,746290,902548,-1,-1,821876,842850,-1,-1,323019,843765,83802,-1,-1,237184,1225,865394,744430,177555,-1,-1,393076,-1,-1,592672,408158,968477,-1,-1,325392,-1,-1,616041,-1,438939,-1,925856,-1,520773,95145,965299,-1,773757,-1,-1,804791,-1,-1,14479,70088,-1,386809,-1,-1,611237,385487,934934,-1,-1,814585,782998,160507,-1,-1,908690,6200,158734,284927,69114,663466,271755,-1,-1,359218,-1,131512,355455,-1,-1,-1,38842,120634,-1,-1,549908,-1,450227,467753,442681,-1,-1,-1,-1,440155,-1,363046,296530,-1,-1,53953,-1,960658,-1,372276,338965,328819,-1,615218,-1,-1,-1,479476,690445,-1,-1,860987,557963,153887,-1,-1,877181,646727,-1,-1,788045,-1,-1,-1,592215,221291,823979,845815,18403,-1,-1,-1,669347,102632,-1,343979,558234,-1,-1,-1,733321,-1,-1,-1,-1,733638,972505,-1,-1,537065,-1,926416,629908,-1,-1,-1,-1,-1,-1,-1,372267,-1,-1,-1,-1,376284,-1,349907,-1,-1,-1,-1,-1,-1,511177,-1,-1,290559,-1,164595,479691,-1,-1,733811,-1,-1,710675,-1,-1,-1,391453,240018,-1,25365,-1,-1,-1,-1,803392,-1,-1,831684,207000,675859,641815,586815,-1,-1,731720,979714,-1,498739,151107,-1,-1,156656,-1,509243,-1,888193,699295,453371,184359,-1,-1,-1,527365,-1,-1,483866,-1,477752,-1,41854,18686,186977,567675,427554,-1,-1,-1,-1,-1,310401,557387,596730,-1,912881,-1,-1,-1,-1,-1,-1,-1,894015,159906,194532,750385,87531,322498,891092,145212,-1,978693,258590,-1,179910,145548,-1,-1,678745,-1,473371,-1,740382,566759,566574,176582,-1,748717,-1,634904,-1,234654,556435,-1,-1,-1,-1,-1,13252,-1,239121,105326,275891,-1,-1,1210,466367,778316,604491,700921,-1,-1,-1,-1,521139,-1,-1,-1,-1,-1,803834,328750,-1,-1,230801,440856,-1,-1,-1,202262,-1,83726,-1,32579,23910,-1,453991,-1,-1,-1,963316,686997,404140,850204,-1,-1,312672,-1,-1,789087,323604,910017,197433,29098,-1,-1,172430,-1,-1,614509,-1,-1,826569,939909,-1,546137,-1,480912,-1,11405,-1,-1,521022,769198,440401,-1,730781,171827,418283,781068,-1,-1,-1,-1,-1,797505,663115,102187,835635,706378,9278,-1,-1,-1,87891,353028,-1,27244,-1,-1,-1,674329,-1,785046,574046,431778,-1,757336,973591,388591,251000,-1,575133,-1,199149,842263,115290,-1,104229,-1,-1,371765,450906,-1,779272,-1,-1,-1,-1,208499,-1,632308,884357,848710,951494,297563,365589,228055,172184,-1,-1,343129,-1,420139,-1,-1,-1,-1,552603,347278,275724,-1,-1,992337,-1,-1,411835,-1,668368,-1,829641,-1,-1,-1,-1,-1,-1,254758,807352,149023,189641,-1,963422,502064,-1,-1,66880,864553,-1,270300,532887,909250,-1,-1,-1,104426,-1,-1,-1,500720,-1,225547,-1,290007,-1,-1,276159,501871,318443,-1,655101,13763,804489,984339,15354,419600,-1,17501,-1,800784,-1,-1,480560,883595,-1,-1,55544,71529,-1,549871,630814,951819,-1,316453,-1,-1,944351,-1,893304,446933,229817,-1,66218,84941,-1,-1,-1,488819,-1,-1,757378,6783,999287,215862,786384,323593,-1,-1,-1,587360,656160,-1,-1,-1,-1,65780,775051,821390,506015,-1,358069,-1,-1,-1,-1,-1,897575,-1,-1,121679,89592,717147,-1,909672,56535,957867,-1,-1,987679,203175,-1,-1,87854,257184,-1,-1,-1,793585,492430,-1,-1,-1,-1,318882,505571,613273,744551,-1,-1,-1,676636,-1,-1,375234,-1,677392,141820,-1,378869,92493,791018,-1,637135,-1,442662,957652,328679,441250,32513,770843,278725,692868,-1,698012,211824,114953,-1,-1,-1,-1,-1,-1,920434,333417,-1,-1,304791,259460,-1,-1,-1,370636,-1,657713,461001,882576,201348,-1,-1,-1,695319,-1,275462,868903,214960,1858,195494,-1,391882,567505,23784,355922,-1,-1,-1,720766,-1,-1,891124,757461,304380,-1,-1,-1,370371,927537,281187,-1,-1,269618,-1,495732,848676,485465,78044,-1,310356,54230,393984,954202,4081,878453,413876,425627,8477,886651,941234,675598,-1,52599,-1,91446,-1,-1,813502,840045,118483,-1,-1,145929,-1,96221,235498,-1,-1,-1,-1,527458,-1,-1,-1,-1,927595,103814,-1,-1,-1,44725,330637,422464,65567,14100,64082,393941,-1,-1,-1,495669,-1,-1,-1,-1,828705,435987,29647,649991,-1,-1,-1,-1,-1,154760,658296,134536,944067,521296,357090,659904,294539,906941,745041,-1,-1,259934,-1,263256,-1,-1,-1,-1,-1,713867,912844,-1,-1,-1,67704,-1,-1,-1,-1,903847,-1,-1,-1,3899,-1,518927,-1,497990,-1,-1,-1,-1,-1,238087,964821,190896,-1,-1,847802,451452,691508,-1,-1,33342,-1,-1,10828,845535,417740,260826,-1,-1,-1,677325,554866,800503,-1,599653,-1,-1,-1,-1,-1,485787,142709,591955,767157,-1,-1,-1,-1,531222,78561,670497,391018,-1,-1,56486,22072,444679,507545,-1,629220,220762,983883,998880,764785,4518,-1,-1,-1,164705,905778,-1,-1,-1,-1,-1,414194,319475,203926,529332,398393,-1,761170,-1,-1,712783,542772,-1,-1,-1,410871,-1,12523,-1,235327,909500,648596,315271,-1,-1,-1,901736,141523,-1,-1,-1,831915,111890,-1,31161,342673,-1,484035,-1,-1,895508,628651,-1,190211,657814,-1,-1,952823,-1,284922,-1,197305,-1,-1,356927,-1,-1,208749,-1,645772,-1,-1,-1,993150,-1,250658,-1,-1,807769,-1,-1,-1,380259,758271,-1,-1,-1,967666,-1,-1,-1,-1,-1,-1,958075,-1,-1,-1,-1,-1,-1,-1,748407,726624,-1,-1,-1,-1,110595,106015,-1,16204,-1,103995,-1,-1,572749,584636,875555,185512,-1,249144,448460,-1,-1,788933,789045,160448,521147,-1,-1,-1,570620,-1,434326,13160,984869,-1,897039,-1,617199,340908,218919,584314,468599,-1,625528,668854,809347,-1,591513,363794,-1,-1,-1,-1,45238,-1,865513,-1,-1,-1,719894,-1,897717,-1,-1,-1,-1,-1,-1,231485,937021,473149,-1,-1,110581,564035,-1,623912,196247,865912,470234,-1,894921,-1,685378,125215,-1,604157,-1,-1,959715,-1,-1,-1,-1,-1,447499,-1,-1,-1,-1,-1,-1,-1,-1,405724,-1,536284,-1,-1,694642,532229,-1,86712,-1,10048,-1,-1,864488,-1,-1,246717,835239,527447,528809,-1,962744,940525,457459,-1,618160,738747,-1,698273,248774,-1,-1,-1,689496,-1,37236,-1,-1,-1,-1,55939,-1,767027,173617,-1,966234,-1,-1,-1,808339,96467,749265,716485,514291,-1,459147,695662,360679,376432,767028,712736,-1,-1,923285,537961,993177,-1,-1,-1,-1,-1,278865,750681,-1,-1,-1,432155,311647,-1,419945,-1,718478,829819,-1,479917,583364,-1,530734,30209,-1,892184,-1,254608,78388,-1,-1,250875,-1,843943,-1,-1,-1,-1,604590,-1,861663,-1,-1,-1,-1,-1,-1,477,848397,-1,-1,-1,99341,-1,657204,50177,-1,-1,-1,-1,-1,-1,146899,617619,-1,61303,-1,-1,-1,654385,5271,712880,-1,-1,-1,-1,895592,397217,-1,504459,249755,497431,-1,-1,-1,-1,818154,-1,483333,215350,-1,-1,413534,808919,-1,499435,730860,-1,-1,-1,-1,680566,-1,852684,264156,-1,556864,-1,-1,833652,-1,-1,486136,560179,593146,-1,-1,944656,-1,56594,-1,-1,-1,577813,162203,176196,-1,-1,109112,959507,-1,-1,-1,740293,511876,842324,527597,-1,550135,-1,-1,-1,-1,-1,-1,-1,-1,272378,-1,-1,-1,338379,-1,-1,-1,55491,161065,-1,16900,-1,-1,378368,438136,780306,-1,447714,979363,-1,461061,188569,982348,-1,631445,670012,398090,-1,-1,-1,-1,-1,128263,844931,-1,-1,676318,906576,263773,-1,-1,655097,575892,-1,563432,-1,32247,-1,130652,-1,-1,-1,-1,679020,611162,-1,200448,864551,685446,881577,442330,-1,881656,-1,694199,963924,142672,-1,-1,539811,939747,-1,993686,213228,862369,-1,-1,-1,131089,233252,-1,960174,-1,-1,-1,-1,10794,681505,662042,-1,803492,-1,756196,868133,443059,-1,-1,-1,457954,514205,957195,-1,379259,824192,-1,104175,23940,809805,-1,-1,82269,-1,-1,-1,155491,269983,-1,-1,358859,-1,244294,-1,862152,651248,593755,962775,-1,-1,-1,-1,49977,406602,353572,-1,-1,-1,-1,672064,925242,839906,-1,545162,-1,-1,284033,742755,-1,131736,-1,-1,276536,361605,26350,350519,-1,-1,-1,-1,656320,55140,-1,-1,94824,-1,856641,-1,-1,530742,952170,-1,124023,-1,-1,540857,327564,366920,-1,656347,-1,862023,137887,-1,-1,120964,-1,-1,-1,262999,-1,497451,683409,-1,446175,716945,-1,-1,-1,464174,-1,-1,-1,460697,47887,-1,-1,-1,266218,634588,-1,586899,825990,-1,234116,670112,-1,889307,741342,804100,500820,-1,239999,-1,40095,-1,875701,675683,252676,-1,91569,932349,615572,316940,-1,10787,-1,752830,341272,650652,459067,-1,615057,-1,-1,413456,38258,-1,-1,-1,520778,324970,-1,623849,-1,121823,-1,179548,-1,367311,336967,-1,-1,979302,-1,765138,814706,391149,943162,-1,969195,-1,915332,205987,893139,-1,-1,-1,514918,-1,-1,197795,-1,-1,815962,869452,903819,294468,171870,323101,-1,276853,343981,-1,225264,288607,-1,70692,643636,-1,794214,678967,968046,-1,-1,330377,225617,911639,653396,874917,421645,-1,-1,615444,525458,-1,146840,797475,237631,-1,-1,-1,-1,617200,-1,-1,259561,369716,950085,310695,848826,643732,-1,-1,209968,-1,-1,957806,-1,-1,409389,313984,920942,176345,-1,787812,439268,-1,-1,-1,967741,-1,-1,-1,569316,-1,242248,30754,502129,909231,-1,-1,-1,623835,916179,-1,-1,-1,234976,37697,-1,-1,258357,992516,-1,6313,-1,-1,-1,-1,-1,727107,422382,909174,-1,-1,660279,443845,-1,942894,356021,-1,-1,646689,-1,99679,-1,349158,929135,-1,721328,138684,916803,792855,317893,-1,-1,-1,280552,-1,373763,-1,367462,423107,578493,-1,-1,-1,-1,-1,-1,212073,800736,32016,-1,666112,-1,827869,-1,-1,19713,471414,-1,-1,-1,-1,-1,837278,484153,105035,-1,732631,-1,775268,-1,259336,242291,-1,-1,353821,-1,792482,-1,-1,-1,-1,-1,524099,264556,-1,348895,-1,-1,-1,403077,-1,741675,995363,258604,781278,-1,467175,628927,-1,80974,433273,154814,511804,327728,987832,40868,-1,286144,699436,-1,274205,-1,-1,-1,738224,-1,596778,-1,550508,-1,339740,187571,-1,813951,-1,435552,-1,-1,-1,-1,392439,-1,-1,-1,760532,447784,706662,-1,-1,-1,-1,933978,-1,-1,807180,-1,-1,80625,-1,79447,-1,991607,626265,582931,-1,729654,-1,767459,-1,-1,-1,545183,858076,278623,157773,895498,108526,556356,363263,920592,-1,-1,176220,120197,582324,-1,998269,242334,208114,-1,-1,-1,-1,-1,430911,-1,937779,170456,786131,768300,971470,720417,-1,226841,876898,299985,-1,105069,-1,749054,-1,281610,285221,227883,-1,896713,-1,301157,601543,678264,-1,615267,816504,-1,-1,-1,-1,81807,-1,358302,-1,717050,-1,465251,596816,-1,132912,-1,-1,871884,-1,-1,806059,-1,310209,821396,994505,749590,-1,435547,283145,-1,-1,124989,-1,-1,742034,683347,538924,-1,279740,-1,-1,-1,-1,-1,210873,-1,152617,805856,357727,-1,-1,-1,35845,468899,-1,-1,-1,832528,-1,877495,811486,-1,974699,907406,138746,-1,-1,-1,733993,436849,650671,227987,-1,286086,643767,-1,950746,-1,-1,-1,-1,656434,258638,-1,141961,593253,359111,-1,-1,-1,-1,615974,-1,-1,-1,515970,-1,765980,-1,175075,605832,820417,-1,-1,-1,-1,-1,-1,657486,766047,-1,-1,-1,-1,466136,-1,318498,745195,-1,438967,-1,-1,-1,976665,-1,-1,-1,77789,123541,-1,195169,-1,-1,-1,-1,-1,94701,-1,227512,-1,-1,-1,226348,39085,-1,-1,-1,-1,630900,-1,896571,-1,-1,-1,-1,-1,-1,891461,-1,619965,513388,-1,332825,79268,269145,640690,-1,-1,-1,890313,275989,942341,-1,-1,263737,-1,633819,88780,635409,-1,-1,-1,175352,-1,544504,-1,-1,111317,765965,-1,-1,310151,-1,551422,-1,-1,933828,-1,-1,114894,-1,-1,-1,-1,702050,-1,392844,959820,-1,-1,-1,-1,-1,841550,-1,763406,-1,518920,-1,-1,109851,402376,-1,186502,-1,104125,591685,187596,-1,138808,441681,449268,728518,-1,-1,-1,886849,860008,607188,-1,284909,-1,-1,896996,690316,372771,826520,-1,253463,-1,-1,640005,-1,940262,-1,-1,986228,255006,129652,-1,13029,407877,-1,368436,-1,7377,211915,-1,699010,-1,133506,985901,-1,406986,-1,377611,-1,-1,-1,-1,223798,652766,-1,-1,869601,991098,147549,-1,101098,928380,-1,-1,-1,14563,383369,-1,490929,-1,-1,568947,-1,984842,-1,601676,268389,-1,957875,-1,-1,97848,720528,994348,189479,-1,828042,-1,7003,544422,430716,-1,-1,602037,601106,-1,725016,-1,166147,920611,-1,906145,-1,-1,-1,869836,431313,-1,-1,-1,-1,179069,-1,-1,-1,-1,-1,316173,644298,555778,-1,518445,-1,-1,-1,303306,-1,373215,-1,845528,103561,459290,656677,-1,719832,-1,-1,-1,-1,3111,981018,-1,-1,-1,-1,189072,307002,-1,188299,-1,-1,-1,-1,-1,-1,212998,279478,167489,-1,893819,-1,-1,639310,544978,-1,-1,13665,303976,638450,-1,-1,-1,-1,-1,853482,-1,510906,-1,60051,-1,-1,-1,-1,-1,-1,89743,-1,-1,876302,692070,967533,-1,244818,-1,312393,-1,-1,58442,137424,-1,845464,-1,703152,791586,-1,-1,145600,872104,-1,495207,-1,419626,598875,-1,-1,-1,-1,-1,-1,-1,999755,816850,74143,-1,-1,595512,-1,-1,953630,88023,503317,-1,-1,-1,-1,194794,986619,240964,-1,-1,-1,-1,684186,-1,-1,682408,464668,-1,-1,-1,240420,-1,-1,-1,119966,612038,37880,61150,-1,7074,-1,129150,-1,1100,970542,264990,850374,-1,-1,-1,-1,201423,-1,-1,-1,-1,-1,-1,889633,-1,-1,-1,164390,-1,-1,334561,53766,571393,-1,-1,292673,951629,-1,-1,-1,-1,758473,-1,940173,-1,-1,-1,-1,-1,137140,-1,-1,400288,920656,-1,982340,-1,26799,602203,-1,-1,-1,9670,-1,739175,771428,-1,950792,-1,407606,265001,837878,389770,-1,670513,874175,27287,646931,907471,-1,644574,-1,-1,736101,489192,601662,599126,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,98231,-1,-1,539595,-1,505178,-1,-1,-1,-1,908088,-1,-1,659573,899626,-1,-1,-1,435944,365223,252317,964955,-1,270029,-1,744513,-1,750194,263159,-1,57444,-1,-1,-1,-1,-1,742850,-1,429666,-1,327298,484843,584707,-1,-1,63161,526205,806217,-1,-1,-1,355585,-1,-1,-1,-1,713325,116805,15066,513404,-1,-1,371885,205229,-1,320121,797541,88454,-1,-1,453984,-1,788161,-1,-1,115522,-1,-1,845554,40081,-1,581219,366015,399832,84548,236629,-1,872019,-1,-1,-1,-1,402989,893249,28489,-1,-1,-1,101264,174056,829610,-1,374687,609007,-1,522553,-1,-1,73223,111956,-1,478091,692942,-1,500109,-1,756694,-1,-1,882029,365332,220221,791793,-1,-1,-1,489596,-1,507555,-1,-1,-1,925613,-1,230071,-1,19999,-1,360324,-1,-1,-1,-1,-1,393873,270848,45643,764873,359425,223294,311385,-1,254955,-1,268645,777745,-1,-1,184081,31809,727845,-1,-1,176860,638665,721798,-1,973378,420183,795840,651337,-1,-1,932290,-1,236303,785809,198750,-1,485334,-1,-1,819556,-1,162386,711239,-1,545527,-1,-1,568663,485998,574078,-1,-1,585909,60276,-1,136777,617781,370544,-1,401288,167830,-1,-1,714479,-1,-1,-1,857538,-1,954657,-1,220390,335288,925693,608335,708627,200867,-1,-1,236685,900656,9548,-1,-1,613872,-1,-1,427924,797579,-1,-1,925300,-1,724686,325237,-1,-1,725867,-1,889662,697690,-1,676040,-1,-1,-1,-1,-1,-1,-1,555653,-1,-1,-1,179406,-1,851666,-1,-1,-1,440641,-1,336135,-1,42631,607495,-1,-1,-1,-1,-1,-1,-1,-1,695945,-1,137044,456902,559593,866924,564077,-1,-1,508836,366294,86555,-1,465720,-1,-1,693729,859477,742777,923820,-1,-1,-1,572579,-1,645598,438826,-1,506375,990778,-1,-1,167299,-1,-1,-1,-1,-1,-1,644846,-1,-1,197638,-1,432480,-1,22774,95420,-1,719629,-1,951816,-1,15258,-1,-1,457237,439288,-1,260515,723703,865398,-1,173785,-1,463684,79110,-1,192274,-1,709205,52535,705662,-1,-1,-1,-1,-1,-1,530948,-1,989063,-1,-1,322102,-1,3318,-1,-1,512107,-1,739355,-1,-1,-1,436842,721468,768105,579624,-1,548812,-1,287094,-1,-1,474129,532566,-1,661598,-1,539678,-1,699757,623644,-1,103966,-1,-1,-1,440862,-1,-1,-1,717430,-1,354876,-1,351623,706103,578755,-1,829860,-1,-1,-1,341852,610915,212331,-1,895111,-1,952666,326358,-1,-1,-1,29500,443,713533,-1,677390,-1,980505,89499,685627,-1,-1,-1,-1,-1,-1,831374,-1,176855,-1,977248,-1,-1,-1,-1,73384,-1,-1,-1,-1,839885,-1,416814,-1,533798,457702,977154,695865,380326,13138,-1,34722,-1,915144,748566,573911,48527,197068,-1,584363,-1,-1,657089,-1,-1,47605,-1,346352,848123,838024,502901,15173,-1,465547,795277,144880,91342,-1,-1,-1,275098,967553,285676,636369,-1,72683,-1,-1,-1,-1,-1,402071,-1,-1,-1,-1,-1,604202,-1,94339,-1,745394,-1,694059,-1,407914,969948,497623,664860,-1,-1,226642,-1,-1,823387,316828,937135,444816,-1,642350,-1,538722,-1,-1,758251,-1,-1,-1,-1,991229,436750,-1,-1,-1,-1,152677,185777,129643,-1,38061,-1,-1,-1,-1,-1,-1,288222,984697,-1,-1,-1,301264,-1,719626,-1,891038,-1,-1,444444,127452,-1,670665,-1,266590,417503,-1,-1,202406,327755,432902,-1,297192,-1,616179,-1,241731,1138,917765,-1,320939,-1,132411,-1,-1,213781,254115,331255,-1,-1,484484,656383,-1,173310,498213,955922,154913,707440,-1,49945,135965,-1,-1,-1,-1,-1,525069,-1,884010,343506,160043,904053,179888,819664,9605,181277,-1,323934,67197,-1,-1,-1,114229,405773,672442,745066,251464,438099,-1,82105,448206,-1,-1,-1,353061,861952,-1,835789,81854,489828,134563,264370,399489,69333,-1,-1,-1,57582,-1,738770,-1,214186,793116,799037,701318,-1,664059,888787,481927,799718,-1,-1,914192,-1,272355,764132,-1,-1,-1,143691,924685,-1,661574,-1,278136,415645,-1,745214,887435,680996,999000,-1,-1,-1,-1,-1,346471,628218,558020,948012,-1,295360,899287,198202,-1,-1,-1,-1,-1,703199,-1,-1,-1,816309,-1,-1,-1,757719,-1,141714,-1,9055,-1,129210,-1,-1,-1,114116,-1,-1,-1,-1,249547,-1,949025,923866,-1,-1,-1,939172,-1,-1,-1,667309,281497,-1,814784,812544,548756,-1,838944,470764,256735,-1,-1,273415,-1,616303,390744,-1,-1,248459,268496,369906,935956,-1,-1,679445,410714,112786,-1,189101,294038,-1,661856,607989,-1,189972,169910,194409,-1,-1,-1,435,715709,-1,-1,868432,-1,-1,-1,-1,604745,-1,-1,691291,-1,-1,-1,167589,45388,-1,212325,-1,150500,589880,193151,812304,-1,-1,780216,-1,-1,394062,816286,869352,-1,-1,564974,-1,-1,-1,617244,347711,-1,115603,-1,-1,819277,281194,162629,577415,457994,781337,-1,-1,-1,-1,920485,991426,340280,-1,-1,952274,518281,870466,-1,-1,659919,189635,416506,389149,601173,191680,631376,-1,640878,900417,-1,-1,407114,461575,-1,-1,-1,-1,-1,-1,-1,761404,176998,677613,-1,-1,-1,-1,956247,941170,92950,-1,-1,-1,685459,856898,-1,12244,-1,-1,-1,-1,-1,261026,259572,363230,191231,712034,902329,298164,982958,927836,-1,596320,-1,-1,481494,-1,113706,967215,-1,-1,-1,673171,-1,-1,191407,32007,572133,713478,-1,547049,488622,-1,-1,-1,58029,455571,-1,925428,-1,586488,-1,299831,581140,398621,-1,923554,91028,-1,-1,-1,244443,418550,142186,546603,601465,340735,-1,751074,-1,791906,337165,759215,203659,47361,114768,395715,-1,-1,-1,17717,-1,849084,360211,490182,98174,734698,-1,-1,733874,-1,-1,384431,-1,-1,440437,122769,269208,742778,-1,416628,228246,-1,833997,-1,-1,730337,-1,405195,346150,-1,914509,185178,-1,-1,-1,-1,382914,67437,104315,207455,-1,-1,192886,-1,418878,-1,-1,799737,958646,920079,-1,-1,-1,802250,211180,-1,751404,332325,406702,653460,-1,407338,448406,641872,21593,248683,826561,123116,-1,-1,-1,940320,-1,496046,917007,-1,191069,676996,329187,-1,96036,-1,308536,432501,53729,-1,-1,-1,984415,-1,853932,-1,871140,665377,-1,510640,-1,85946,-1,585544,423029,726428,651429,-1,799392,-1,479874,-1,-1,-1,-1,-1,109674,-1,-1,-1,-1,70798,862544,254936,-1,109563,723832,-1,75954,51037,301633,-1,834650,-1,-1,-1,340710,639787,788965,664520,687056,-1,22535,-1,-1,-1,317551,-1,-1,-1,388143,-1,-1,-1,932235,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,791944,-1,-1,-1,-1,-1,-1,-1,-1,-1,785163,-1,608884,-1,-1,-1,-1,-1,979821,-1,654454,-1,-1,653181,515406,493618,-1,-1,244419,836156,-1,319443,886177,588891,-1,-1,926660,-1,-1,-1,728782,-1,835758,-1,65835,-1,-1,775607,-1,-1,-1,-1,-1,407212,-1,345632,-1,651049,863468,-1,499375,641607,-1,211927,941697,-1,154513,824296,-1,-1,831258,174340,458034,-1,-1,-1,237270,-1,-1,461151,223276,22190,948924,-1,-1,-1,-1,82923,-1,-1,-1,-1,-1,505531,-1,136812,496839,-1,572919,-1,288265,-1,-1,-1,-1,-1,939088,503326,152406,81208,-1,87586,-1,-1,-1,883762,793702,-1,-1,343699,-1,-1,941603,-1,-1,993570,316658,-1,321035,271657,-1,-1,579969,919765,729050,208185,-1,890767,551453,-1,-1,524710,842931,-1,300166,281918,46453,981299,-1,19007,64502,487072,353519,899750,-1,-1,658682,-1,431640,-1,-1,569592,49474,834210,-1,991069,769199,-1,-1,244683,99113,667506,179447,576950,-1,-1,-1,925691,-1,-1,-1,256591,-1,346413,168940,355468,989526,668025,153679,873529,309022,-1,-1,93525,411519,149955,-1,-1,-1,105805,258902,473984,156781,848319,521925,498685,-1,-1,512753,-1,386848,108333,-1,-1,-1,-1,103163,-1,-1,354673,-1,62396,-1,506714,529723,633499,-1,-1,-1,720424,752861,249161,-1,-1,-1,-1,184644,-1,335603,292427,-1,498126,370019,23869,-1,-1,-1,-1,-1,497588,-1,936802,-1,585649,49082,6015,-1,-1,-1,224674,330804,906450,156763,-1,862660,-1,913171,-1,-1,-1,196120,-1,-1,965280,480799,490749,629453,-1,64494,610299,-1,-1,296282,-1,-1,-1,-1,709273,954450,-1,141833,615210,-1,-1,-1,990461,-1,942465,246624,-1,917040,236195,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,911555,-1,234329,-1,-1,409986,402936,153770,401639,639233,-1,464503,728927,-1,894656,206420,-1,-1,-1,573657,408075,-1,517053,15196,78269,860080,-1,-1,-1,-1,-1,728256,658265,822686,-1,888515,454188,420797,796100,338767,28566,-1,586383,-1,-1,-1,552595,-1,248517,-1,-1,-1,476248,965802,374496,102193,-1,-1,-1,-1,409940,-1,-1,407370,155885,-1,-1,-1,-1,-1,92501,-1,-1,402449,271845,911098,727404,-1,356121,-1,-1,700966,270937,-1,-1,340801,692279,116878,-1,-1,571865,727822,815155,-1,606486,-1,273117,-1,609410,998783,-1,115523,732780,-1,-1,-1,-1,-1,-1,-1,283041,-1,451564,449164,-1,-1,819552,885958,71819,-1,-1,-1,-1,-1,127150,495942,203121,-1,955343,-1,-1,-1,969757,-1,881054,-1,157918,-1,756753,-1,67939,-1,647836,637244,-1,42853,-1,-1,-1,-1,-1,233757,-1,934658,-1,-1,217063,-1,399041,181050,-1,-1,-1,19974,513113,16397,-1,487099,-1,95025,-1,357413,-1,607583,339526,-1,-1,911734,-1,-1,-1,99581,-1,-1,-1,221420,155420,-1,597459,229385,332604,899097,969681,-1,-1,-1,-1,404184,521993,279730,440994,-1,458677,418908,-1,-1,33865,-1,-1,791940,547899,672990,353301,240754,356270,-1,658546,626207,-1,-1,686061,761604,291557,-1,-1,756589,740633,-1,691013,93838,905474,884007,374911,946683,-1,-1,-1,-1,132893,-1,-1,804003,442552,-1,-1,-1,798009,-1,51261,818946,-1,-1,-1,213401,-1,-1,431813,-1,-1,976457,611349,864814,-1,25025,-1,817196,-1,-1,406698,410057,-1,-1,475013,-1,903729,363106,-1,289768,435016,391665,386341,-1,417927,-1,-1,-1,20385,-1,-1,715790,824582,-1,-1,-1,-1,840421,-1,80977,-1,-1,-1,-1,-1,-1,-1,-1,547814,-1,465117,106295,-1,613,634080,276782,-1,919994,-1,-1,850194,595238,417198,826212,558496,943107,110844,-1,373440,-1,-1,-1,694706,921119,470397,659088,-1,67399,-1,952187,-1,264425,312293,-1,483619,-1,-1,-1,747931,577975,-1,968381,791473,-1,364581,626937,-1,-1,655087,385469,-1,-1,414168,-1,726631,325118,-1,383067,12324,397864,463588,-1,681620,380882,-1,913309,616079,-1,448433,-1,373930,780412,-1,-1,338751,-1,824183,-1,668186,-1,400120,96078,293811,899422,340111,-1,269389,30151,666421,-1,-1,-1,-1,529880,-1,-1,-1,-1,519347,-1,255879,532362,-1,-1,-1,518642,-1,260836,803618,-1,383510,715864,-1,-1,-1,-1,-1,-1,-1,771403,50188,288096,963171,648284,376733,585688,-1,-1,-1,638327,455659,-1,-1,-1,435898,101589,907047,94950,-1,630965,-1,-1,-1,-1,109181,335486,570585,178879,-1,705571,-1,-1,835496,-1,229455,792587,5112,-1,901860,-1,552360,-1,350528,756051,210046,34370,155110,16237,636316,-1,-1,-1,406791,-1,-1,-1,-1,-1,303677,-1,-1,-1,749951,-1,413901,-1,894285,835171,-1,-1,689458,676164,-1,556044,-1,-1,-1,-1,-1,-1,-1,151411,89083,612793,252567,-1,-1,-1,-1,209976,545070,739766,749683,91898,371488,-1,770367,793896,-1,171580,235923,-1,748855,102843,902151,-1,438048,-1,-1,762998,419267,129189,-1,-1,28146,846279,-1,-1,679790,513281,872582,117522,27651,-1,-1,-1,-1,-1,-1,598292,483623,-1,146247,-1,-1,515193,863211,550485,14675,-1,-1,-1,127109,226259,141392,-1,-1,13006,526436,-1,463308,578452,-1,579896,-1,848937,549803,50251,482794,-1,-1,595332,848005,507211,223112,-1,800246,-1,646343,-1,-1,116121,781957,-1,210339,823177,-1,731773,-1,900049,730977,-1,-1,130544,-1,-1,-1,456623,611234,-1,635915,-1,544480,949627,793003,-1,616521,-1,583490,-1,584761,418846,-1,500851,788178,58167,387983,596723,702888,-1,-1,147446,-1,-1,-1,188246,-1,-1,64005,-1,-1,628354,356752,-1,967987,-1,-1,281412,118184,-1,-1,-1,968999,-1,-1,115316,852651,670393,632429,452809,757760,-1,-1,-1,-1,-1,-1,-1,301958,-1,-1,407413,777040,-1,-1,-1,623121,377378,-1,823706,750063,-1,465048,622080,-1,254125,107604,71969,-1,2753,-1,369691,-1,982621,294596,-1,310183,-1,584252,575538,396208,130823,-1,-1,652552,387315,-1,-1,-1,287956,709111,-1,-1,-1,523608,157636,-1,663982,894355,425700,842547,27407,209697,402,-1,314565,740113,882145,-1,554211,-1,-1,-1,-1,238047,-1,-1,-1,67002,-1,-1,-1,730259,-1,-1,-1,335673,-1,763286,-1,80196,-1,-1,735421,-1,33100,-1,567857,-1,-1,628937,-1,462716,-1,-1,133446,354122,-1,-1,-1,-1,-1,229643,-1,55657,541440,-1,379927,-1,-1,-1,-1,748670,990565,413588,-1,-1,756663,-1,-1,477573,-1,-1,221981,430354,696840,-1,-1,637301,57025,581857,-1,38025,-1,559450,807515,-1,-1,-1,-1,261283,-1,-1,878838,389906,684012,-1,656362,93738,-1,436676,19478,866728,544690,814787,25185,678351,-1,597826,-1,-1,610822,632988,-1,196649,-1,-1,-1,-1,-1,-1,-1,-1,535563,-1,265140,252018,-1,364608,-1,654685,-1,-1,943253,-1,325321,539483,-1,-1,613325,914033,199603,-1,28476,472874,-1,211765,-1,283167,648151,-1,-1,-1,-1,-1,-1,110351,-1,44208,46596,-1,-1,-1,971421,-1,348760,230153,-1,-1,561070,-1,887304,-1,67767,-1,852075,-1,-1,-1,721957,215441,-1,975564,-1,-1,477967,476111,798718,-1,-1,194814,971397,-1,390296,236219,-1,-1,682720,922748,-1,56194,-1,752288,-1,725622,664803,177610,-1,-1,309740,234868,-1,-1,831150,821504,-1,300231,-1,-1,964816,332085,757448,-1,654438,-1,785116,-1,940817,780679,198620,626303,-1,-1,142063,453198,-1,24911,868512,-1,-1,-1,-1,-1,442008,875044,-1,922851,640640,596435,527187,-1,964222,-1,-1,-1,-1,424201,-1,-1,-1,950548,52481,-1,142702,200865,-1,-1,-1,514283,-1,-1,-1,-1,-1,-1,965145,-1,214570,-1,980692,-1,-1,-1,738563,-1,210805,-1,-1,-1,-1,706403,522978,-1,-1,152896,711320,-1,895560,-1,-1,934284,336051,43375,677175,333765,795314,-1,-1,-1,835504,557172,681681,16210,-1,825869,696208,30964,-1,429504,-1,-1,534027,883968,-1,-1,229578,911165,478928,918462,658987,985893,556367,-1,2348,275656,-1,867678,-1,-1,-1,-1,634245,378025,38629,788151,-1,675620,854938,129112,-1,-1,-1,-1,413261,-1,-1,-1,-1,41502,65059,-1,603449,448364,-1,796488,-1,-1,-1,133103,-1,55399,-1,-1,514599,891072,406735,-1,-1,522689,424062,-1,-1,-1,-1,740157,564407,-1,359065,-1,749920,-1,-1,-1,-1,418834,241555,-1,-1,-1,976294,-1,529769,-1,-1,-1,-1,379463,615033,285191,-1,-1,-1,-1,551948,673761,172162,-1,-1,760969,43130,961506,995161,-1,-1,-1,289289,787637,503940,-1,409399,-1,983134,548833,308753,-1,-1,337372,299781,-1,488836,-1,-1,-1,613088,312212,-1,-1,645637,508248,-1,-1,-1,904201,463815,-1,757675,-1,-1,375958,-1,955361,774938,189852,-1,-1,835486,232735,724584,-1,178238,877080,-1,-1,528348,-1,390503,599656,835622,72060,-1,-1,-1,-1,-1,14583,-1,899553,-1,318180,-1,680138,758441,230332,805657,435435,387665,219488,-1,-1,-1,482637,-1,-1,-1,405891,-1,-1,512609,-1,942434,-1,-1,-1,471019,-1,675181,-1,508776,790348,-1,-1,508261,-1,21106,-1,63127,854454,-1,835705,573496,-1,-1,338766,759727,350166,861808,653009,-1,188110,275279,-1,625627,-1,147961,-1,-1,79616,47441,-1,-1,-1,95253,-1,-1,-1,656295,307238,411880,-1,-1,695653,-1,343402,92157,411081,624640,-1,-1,286265,-1,125387,148403,822224,-1,457986,799451,447949,163056,-1,-1,-1,868077,6776,217669,816955,231194,958179,629468,701025,-1,-1,-1,516738,243399,-1,-1,-1,896014,-1,33522,139906,-1,-1,-1,141532,774184,142606,-1,895080,-1,966024,408833,252650,-1,-1,-1,-1,789700,-1,620668,891466,721216,-1,-1,448797,-1,701765,898004,655294,204269,-1,-1,313624,165144,-1,-1,279219,184856,630822,172564,-1,-1,87880,-1,973698,-1,789657,-1,-1,491427,563114,-1,-1,328139,146763,-1,992917,454369,-1,-1,755186,706866,-1,-1,672045,-1,-1,-1,31746,433092,-1,-1,617782,-1,-1,941358,775265,-1,-1,-1,639039,856099,-1,-1,-1,-1,-1,-1,-1,956281,-1,7775,-1,-1,-1,-1,-1,-1,-1,296221,114247,138711,256762,-1,147039,-1,242363,166018,-1,-1,-1,931675,-1,711776,-1,-1,59419,344543,-1,-1,189981,182443,957113,-1,940339,448794,991459,163232,-1,222236,487231,-1,931666,-1,-1,113339,362265,-1,-1,38161,702054,876206,838892,-1,394625,31954,869250,-1,196158,802138,-1,-1,583682,427547,985907,-1,164291,-1,-1,-1,49765,157653,365703,-1,-1,551141,-1,-1,-1,-1,-1,821629,91795,361039,-1,805290,499758,-1,208801,773175,295841,-1,273860,249077,-1,273236,14494,474036,847060,-1,-1,586047,-1,764004,489517,144745,945705,-1,-1,-1,-1,-1,85116,828351,534063,-1,-1,-1,258651,-1,-1,436383,517220,-1,770800,-1,-1,67619,-1,761767,228679,983056,789191,-1,226771,-1,548260,817098,-1,-1,77425,783402,-1,246432,232881,-1,104846,149542,-1,-1,-1,-1,-1,-1,-1,15509,-1,256195,335412,90265,546585,517740,-1,-1,-1,-1,-1,207018,286839,44775,676125,-1,-1,203079,492209,200700,255868,858354,-1,-1,-1,-1,-1,-1,-1,647379,-1,680410,-1,-1,-1,307269,497485,-1,270482,-1,-1,445372,724173,-1,769342,114839,563718,-1,86650,-1,748419,530390,-1,237290,-1,89482,433178,91688,976625,865654,-1,93113,706185,259164,-1,210259,425914,330061,321833,793358,989175,-1,-1,477893,-1,371102,322514,-1,-1,-1,-1,696684,-1,496258,-1,581579,757137,-1,-1,-1,-1,181155,-1,-1,62164,411056,223554,595643,370395,-1,-1,-1,-1,-1,-1,903414,142733,-1,906325,333521,-1,-1,-1,-1,-1,-1,-1,656076,265355,-1,4824,387085,-1,521295,927359,691820,-1,-1,199335,834896,-1,259539,-1,440337,-1,-1,-1,654865,-1,-1,-1,172978,429004,380836,-1,910307,313205,492312,-1,241856,816717,875280,638273,-1,766976,869759,178716,-1,624659,-1,37706,456019,812688,173856,913832,-1,108914,-1,561563,-1,-1,-1,-1,-1,-1,69284,-1,-1,-1,661844,939852,672500,-1,559390,-1,74536,-1,-1,730534,298243,-1,262597,-1,397661,-1,950535,-1,-1,-1,-1,370781,-1,421250,-1,559946,-1,-1,214836,-1,-1,850960,-1,301699,755283,751736,-1,502525,382355,-1,927981,188470,-1,-1,-1,-1,-1,243614,34017,-1,-1,-1,553591,-1,781755,-1,-1,227676,106324,-1,-1,300304,-1,927880,-1,511978,954423,-1,-1,302044,74273,-1,-1,430520,-1,-1,409476,-1,200670,20334,406295,488775,-1,-1,-1,625133,-1,-1,869123,119044,-1,-1,-1,196955,774140,893635,-1,-1,699732,-1,984638,697002,-1,-1,124755,699809,584413,-1,-1,909438,716497,373622,763778,-1,-1,-1,33381,-1,-1,-1,-1,206893,451768,-1,410149,438603,-1,-1,755966,-1,380991,579348,-1,480794,284738,155183,-1,-1,825553,-1,191615,-1,856117,-1,292548,163599,-1,351626,-1,-1,393088,590681,772530,986825,-1,-1,-1,-1,294059,-1,92133,-1,944895,385282,34458,-1,-1,-1,-1,188502,-1,-1,813960,-1,90279,815352,-1,-1,986862,277129,13927,457561,-1,386989,2296,-1,-1,-1,-1,397181,3500,533463,-1,953067,547153,-1,-1,462579,-1,592772,-1,984899,-1,536341,606270,809038,498505,-1,-1,-1,-1,-1,-1,778140,734445,730353,676564,-1,608566,-1,575208,692491,977602,-1,-1,-1,775185,-1,495657,-1,-1,-1,-1,-1,867478,226682,-1,893671,955374,884840,526625,731673,-1,239927,-1,-1,924034,257323,690769,-1,-1,-1,-1,630562,180861,240252,-1,-1,-1,-1,432826,-1,-1,-1,-1,590146,753892,472360,-1,-1,-1,16012,820580,-1,577963,-1,-1,711608,-1,375763,34526,-1,161696,-1,-1,-1,-1,416517,-1,635295,877767,837526,978469,-1,-1,-1,405896,512693,-1,-1,-1,-1,609173,295144,669597,-1,-1,-1,-1,128140,20085,-1,613673,72416,-1,-1,-1,-1,172811,-1,-1,719501,-1,299654,856600,-1,-1,-1,541915,-1,359735,788475,-1,479224,515234,721665,-1,-1,414389,-1,-1,7251,-1,956461,534969,158944,-1,212819,263708,-1,-1,-1,-1,-1,-1,759105,-1,32958,-1,541481,-1,-1,-1,226499,629607,-1,591536,816759,-1,908447,-1,-1,367316,310653,-1,880292,686164,-1,190078,265467,-1,-1,-1,-1,-1,-1,135184,-1,277758,-1,-1,182080,565833,-1,-1,-1,-1,-1,-1,-1,102475,70631,-1,894956,871321,-1,-1,404760,-1,345713,-1,658817,554722,268758,386337,12701,587456,-1,-1,949391,-1,-1,-1,-1,644802,336868,572752,-1,598343,-1,-1,-1,-1,734658,578131,365263,268109,415144,-1,429295,362259,995698,-1,-1,249566,87178,582802,959584,179255,314305,637222,-1,-1,66309,341928,-1,984768,22850,769206,300785,41754,751346,-1,462228,853941,-1,860137,337841,-1,481780,569751,-1,608040,941656,-1,-1,298004,-1,-1,-1,763972,-1,-1,-1,-1,-1,672663,478155,-1,-1,478399,876861,-1,256292,550350,-1,129960,447014,239342,-1,-1,950316,-1,59601,-1,-1,-1,983067,171569,-1,735566,188703,-1,-1,63879,335720,49835,-1,-1,202307,-1,871791,735125,676376,-1,-1,-1,-1,-1,-1,-1,404437,276874,31067,708842,324340,482434,-1,-1,-1,973110,596619,498326,761175,-1,265208,-1,257066,-1,-1,-1,913190,283916,-1,17303,747144,18088,620323,-1,-1,959803,724007,-1,879455,686074,-1,-1,461023,-1,-1,291920,351042,-1,-1,182413,310773,-1,-1,-1,-1,-1,-1,290158,-1,521042,-1,-1,618999,561689,-1,763319,972041,-1,-1,-1,569537,871736,-1,-1,-1,-1,-1,-1,-1,-1,555316,-1,-1,661735,415746,792802,-1,362841,-1,35719,-1,227272,-1,552339,645872,274791,-1,38052,-1,106893,-1,-1,-1,786701,887072,202739,-1,594462,432418,-1,258718,-1,621564,-1,-1,-1,543201,-1,299587,-1,-1,779329,-1,914998,-1,-1,-1,-1,-1,-1,909805,-1,-1,-1,350782,64182,-1,-1,912862,-1,903735,986577,-1,-1,-1,-1,809375,-1,366605,-1,274074,-1,191654,264256,-1,670565,535028,329493,327769,672492,412977,411740,-1,998503,-1,972287,-1,-1,-1,653526,-1,212215,-1,636819,696864,-1,762038,268692,739903,-1,12537,978569,320147,-1,755011,-1,-1,-1,470080,-1,652935,436686,-1,-1,-1,506460,635849,-1,404867,-1,325504,-1,-1,-1,336024,-1,-1,875311,195102,835817,476740,860550,-1,-1,-1,-1,-1,862035,348440,-1,-1,253705,-1,-1,-1,-1,598713,-1,87176,19991,-1,733808,442329,341221,-1,-1,-1,-1,-1,130896,-1,-1,33183,737155,-1,749436,748031,-1,796509,41209,-1,-1,-1,97884,-1,-1,-1,229592,-1,410865,47718,249074,-1,-1,789581,425646,679769,-1,-1,899933,363419,27867,-1,-1,17058,-1,-1,266150,-1,-1,-1,-1,596243,240176,48400,65547,-1,-1,369325,-1,119168,41074,-1,11406,12948,-1,-1,723774,78043,-1,552189,-1,485351,-1,-1,-1,629652,-1,-1,164987,503780,704092,-1,533059,-1,-1,-1,-1,183499,872437,-1,207055,-1,682202,-1,-1,239427,-1,-1,-1,296883,-1,358620,-1,-1,330656,-1,-1,474023,918669,124646,-1,976312,764640,-1,217710,-1,-1,180790,-1,476795,-1,103115,-1,-1,674194,-1,905734,182752,477101,-1,-1,-1,624761,-1,572387,344158,177905,-1,296425,313536,184185,932210,505371,-1,-1,-1,503371,-1,-1,130172,-1,435622,-1,696086,-1,-1,855631,521198,283178,575820,984621,-1,306274,-1,-1,-1,-1,-1,-1,715904,-1,-1,485846,222815,-1,-1,-1,928559,288321,-1,-1,698579,-1,-1,-1,873228,985388,575611,-1,-1,505985,881557,132717,75937,410495,643051,66040,-1,-1,-1,668168,-1,123420,-1,465129,-1,-1,-1,-1,-1,760277,-1,802509,-1,-1,184698,-1,-1,148648,-1,761416,-1,823413,-1,-1,58362,724824,-1,751642,-1,407444,-1,-1,818545,-1,678317,13869,941144,318027,-1,498571,-1,-1,949844,-1,408821,235969,223568,-1,294207,527610,-1,-1,-1,-1,810084,-1,177250,853854,-1,929842,430143,281997,-1,182890,-1,-1,680626,858572,839478,726165,320334,-1,833487,-1,-1,257969,-1,505811,817111,-1,213317,490559,-1,-1,166757,-1,923221,-1,765814,-1,-1,-1,570425,139532,855491,-1,-1,248924,-1,588661,-1,-1,-1,-1,349577,-1,-1,-1,-1,-1,-1,-1,-1,-1,871480,-1,-1,-1,-1,-1,487252,805458,-1,158378,744105,-1,-1,-1,508562,-1,410050,-1,-1,-1,-1,-1,249801,-1,408057,-1,-1,771171,434645,-1,-1,-1,-1,622012,-1,332269,-1,40648,-1,310019,-1,-1,845324,713082,-1,-1,585769,-1,415279,-1,386332,-1,217952,647641,-1,334953,-1,243273,624751,9035,643602,501106,453069,639079,-1,352749,-1,737073,29034,-1,-1,-1,391070,114838,888559,83618,776044,-1,907135,-1,-1,-1,-1,-1,-1,16250,-1,-1,794204,-1,181698,-1,161799,-1,114826,970139,-1,-1,-1,-1,506794,-1,-1,-1,689488,214008,-1,-1,-1,564142,-1,135706,-1,82452,920752,-1,-1,-1,875273,-1,-1,348036,33652,-1,47863,111643,299773,-1,114287,578765,-1,55590,597142,961405,-1,-1,-1,-1,-1,578054,934837,-1,446068,-1,2332,-1,842200,-1,877432,563376,-1,-1,-1,875935,-1,-1,159099,-1,-1,-1,486593,641280,-1,-1,918879,512926,-1,431642,577564,279339,35253,-1,209884,951932,-1,291113,419851,-1,641253,57908,-1,-1,513036,-1,-1,380366,372128,-1,175540,621892,-1,-1,34444,936787,37647,-1,-1,447466,959313,-1,798206,-1,-1,-1,-1,508350,-1,162757,-1,847457,-1,-1,-1,89817,-1,873343,70054,472722,88557,736663,-1,22080,181988,-1,289697,-1,688081,-1,991249,-1,-1,-1,-1,-1,-1,729337,-1,-1,-1,-1,257669,796931,537830,687729,-1,764865,434496,529491,901030,-1,-1,-1,90357,486764,389764,-1,-1,426151,-1,-1,796492,471471,387503,-1,-1,928164,610217,-1,24789,-1,404059,-1,-1,250698,-1,-1,31004,562129,610280,542048,403817,656209,-1,676088,910463,-1,-1,969773,-1,-1,-1,895534,443791,-1,-1,532390,-1,-1,-1,-1,-1,-1,122647,-1,-1,424426,591790,947322,-1,700939,-1,799570,-1,-1,103103,721500,-1,576152,241632,128337,751666,-1,-1,85371,998487,-1,255,228840,854433,-1,802501,539213,-1,-1,608632,-1,881563,18116,136705,540658,-1,-1,-1,-1,-1,-1,64120,909513,465877,932704,-1,816760,467961,-1,-1,847977,982273,-1,-1,467496,456954,252602,-1,-1,704532,604191,184071,-1,167542,-1,62861,-1,35702,-1,143404,672191,196182,234784,-1,819327,-1,466853,150161,483889,-1,-1,968328,-1,604013,164263,-1,794363,991841,552578,-1,-1,575583,-1,-1,-1,955879,-1,-1,575949,111943,-1,707594,-1,-1,-1,-1,-1,324186,-1,-1,978384,897686,-1,-1,177728,970985,385124,919046,582969,543405,-1,326041,-1,-1,-1,422500,457425,980376,30301,-1,-1,859780,-1,-1,289401,410430,419786,715027,360999,351975,-1,-1,421917,-1,980500,150537,-1,-1,-1,222455,-1,254240,139263,287867,542333,244790,509155,474067,721538,409175,580425,-1,289695,-1,82618,949070,-1,-1,183025,716506,556730,-1,501557,562773,271706,653701,724378,-1,442091,-1,638763,-1,-1,722393,442372,-1,620023,993441,486321,657171,615005,-1,585703,-1,-1,687631,299050,247843,-1,-1,-1,-1,-1,1628,-1,-1,923230,258856,-1,546482,705266,-1,814175,219119,68109,974446,-1,817853,130167,286255,-1,-1,129887,978676,-1,478947,286237,-1,849875,-1,-1,838047,-1,458287,-1,491244,90054,-1,731522,564888,988130,-1,339612,-1,-1,790078,-1,-1,-1,-1,724820,821637,292042,-1,507348,914202,-1,809830,-1,18681,-1,739406,-1,635623,-1,-1,-1,-1,-1,207722,791288,523020,222791,-1,97136,-1,-1,-1,207970,-1,171838,511202,-1,514619,612277,-1,387387,-1,565240,-1,-1,-1,849696,743946,-1,-1,322303,-1,-1,363269,311782,-1,-1,-1,-1,725648,741347,951291,-1,809435,560443,-1,-1,772311,339891,268133,535266,-1,-1,-1,-1,970912,273794,-1,682158,557361,354420,-1,-1,730654,-1,-1,886905,620339,453009,-1,-1,-1,563019,243060,837291,904923,92754,-1,-1,-1,615599,-1,-1,-1,431528,205002,-1,343270,-1,17388,-1,-1,-1,98729,-1,-1,-1,983484,180329,507486,-1,55872,786812,-1,-1,841954,-1,-1,212586,243997,137498,677980,-1,-1,820125,-1,-1,-1,476788,-1,842675,-1,147,-1,265580,467809,-1,-1,699767,-1,11223,-1,-1,237838,-1,477384,-1,-1,-1,389738,-1,-1,-1,754562,838315,841060,-1,673571,695117,316098,-1,915093,-1,-1,-1,689104,781038,-1,-1,327151,-1,-1,-1,565142,-1,454588,413200,868569,359102,-1,60258,-1,272619,-1,-1,-1,108420,-1,-1,508239,-1,460175,115063,-1,-1,-1,-1,-1,383527,232184,766398,68401,-1,39591,-1,-1,-1,937644,458060,-1,-1,-1,-1,-1,956911,100716,-1,964148,-1,-1,-1,243218,267337,-1,753471,452773,-1,206013,-1,-1,941524,-1,46962,981521,772164,-1,189598,591341,263005,-1,131806,158932,664408,808295,216038,-1,-1,102033,330179,-1,-1,-1,-1,261771,535003,-1,330012,759959,-1,-1,963011,-1,201884,972267,95899,-1,-1,197615,-1,973932,-1,421911,-1,-1,222031,-1,949482,-1,-1,-1,-1,773775,699607,581551,478800,670621,781182,-1,-1,-1,-1,355698,-1,507897,-1,-1,422205,387228,-1,-1,-1,664182,-1,75177,860270,723368,822941,-1,380779,-1,697564,504625,-1,-1,-1,977681,-1,-1,847539,664735,832522,751710,707693,967272,-1,-1,399465,34241,51089,-1,-1,735181,943711,804188,606879,505161,-1,822033,-1,-1,-1,-1,-1,133214,423314,296923,143146,570464,-1,681915,-1,452099,624557,804065,-1,-1,639447,-1,-1,-1,-1,-1,-1,630403,556832,-1,-1,238151,19497,-1,238095,317170,835866,504279,588278,767998,-1,-1,814834,842522,253436,599669,482978,147595,617685,34429,989958,-1,54825,77654,173260,-1,908819,27325,-1,-1,-1,50853,666563,43899,-1,-1,929072,596601,-1,144334,73347,410178,23820,458003,-1,151940,-1,-1,-1,825833,-1,972034,232030,288604,666142,-1,-1,170159,356931,404062,-1,990961,-1,-1,987906,275001,813446,60362,-1,432828,-1,-1,-1,-1,-1,138929,416472,7190,-1,563969,-1,105049,854505,556263,-1,-1,-1,-1,549042,-1,786601,-1,-1,-1,-1,-1,-1,-1,843740,-1,405886,-1,-1,42186,-1,-1,-1,-1,8491,50689,-1,122244,2594,-1,-1,-1,856037,-1,-1,-1,269668,-1,-1,-1,370805,-1,-1,-1,136585,892975,-1,-1,-1,-1,-1,-1,-1,377114,597439,-1,-1,310551,220598,-1,-1,373855,538406,73084,-1,456550,358870,-1,374934,-1,-1,19029,927221,475045,-1,-1,926638,-1,-1,-1,-1,305737,-1,352256,-1,242489,-1,929979,962495,-1,260359,88209,-1,-1,-1,-1,-1,415935,-1,223046,519422,341926,-1,295410,495394,-1,-1,-1,404749,304773,462628,507030,-1,-1,349737,-1,-1,-1,917189,-1,-1,-1,-1,-1,-1,-1,252160,-1,161819,-1,-1,833401,595787,757713,64852,34984,389106,-1,-1,-1,-1,766220,992716,-1,773473,-1,-1,339451,612795,-1,-1,736671,306636,-1,-1,-1,58945,-1,371308,442291,703313,38509,-1,926615,507381,-1,559074,95278,762614,-1,368742,-1,-1,783625,-1,-1,-1,905176,292766,306338,307792,-1,-1,-1,-1,-1,-1,952036,640703,-1,-1,265613,776249,-1,459805,504793,561309,-1,902163,513535,-1,70902,-1,266823,-1,947267,-1,-1,371189,580334,-1,812062,-1,215888,-1,-1,378945,427553,-1,-1,998258,730685,-1,770351,-1,-1,620736,-1,442637,703782,-1,319139,342642,452886,548170,-1,546566,244275,172129,-1,-1,296624,-1,567492,-1,-1,968009,908779,-1,-1,776632,-1,-1,23725,-1,356544,-1,-1,602387,-1,697382,-1,-1,813375,-1,802564,352655,155079,204106,348624,994130,-1,-1,-1,-1,-1,-1,900871,451448,249631,-1,62588,-1,-1,-1,-1,-1,-1,82003,418071,-1,785807,-1,186550,547118,974796,-1,863933,396532,-1,485506,695590,-1,-1,343786,775014,651169,-1,434652,778487,478505,218378,807173,777587,514748,849453,-1,-1,-1,-1,-1,-1,-1,-1,574162,-1,-1,-1,9876,247666,-1,435479,-1,480311,546316,-1,-1,-1,998661,851256,-1,369517,-1,-1,197266,740870,-1,-1,267110,-1,-1,869157,62885,-1,-1,546723,-1,-1,111069,898980,237659,-1,-1,-1,-1,116549,647840,-1,-1,804010,-1,833974,131870,-1,-1,-1,57446,-1,736930,81017,-1,-1,40717,8134,-1,-1,-1,757155,-1,819230,-1,334453,940343,585009,86586,838153,891720,881687,725805,996678,-1,-1,-1,492320,47306,577081,-1,-1,393721,27960,315890,-1,-1,35229,-1,-1,-1,-1,-1,-1,557672,684204,545730,-1,-1,144894,869890,102395,827506,-1,-1,22306,588053,-1,-1,-1,443605,-1,-1,-1,-1,813330,627287,-1,168430,-1,-1,-1,-1,-1,-1,297825,-1,809320,-1,-1,-1,-1,-1,-1,73240,189335,-1,370191,-1,-1,-1,-1,763014,79175,475544,633524,-1,-1,-1,412788,371304,823749,1634,-1,469876,-1,-1,255080,-1,348403,419734,951990,714224,156941,-1,-1,968972,770299,252225,-1,17659,-1,-1,171536,839243,195005,-1,957405,74254,-1,248080,63917,209910,728121,-1,-1,-1,260552,591736,346990,-1,-1,911041,-1,-1,-1,288230,-1,-1,-1,-1,-1,173008,-1,770293,65486,204945,-1,-1,-1,-1,-1,-1,175667,897189,-1,694612,-1,-1,818034,-1,-1,-1,138437,526533,-1,46159,127809,406484,868937,-1,345289,205452,-1,-1,15186,905543,-1,504173,-1,-1,-1,-1,933300,546094,389497,677385,198102,49160,318475,-1,-1,-1,393833,-1,-1,-1,-1,-1,351961,830182,843132,994162,531006,-1,-1,656537,-1,863220,767271,-1,-1,801780,-1,169036,-1,-1,897164,-1,-1,854219,-1,-1,-1,-1,-1,-1,642633,-1,-1,-1,-1,-1,274948,514432,-1,313542,-1,379089,957432,-1,968378,113897,-1,-1,-1,771886,193027,-1,650515,246851,-1,210333,-1,53206,817337,225607,406976,838049,787858,953674,718174,-1,976657,381110,721539,-1,85785,522029,-1,-1,333054,-1,673328,-1,516243,551515,-1,757951,-1,993943,-1,205200,-1,349215,303106,-1,-1,156494,866837,191371,225621,-1,-1,654871,-1,122673,332076,-1,-1,-1,-1,785682,628834,-1,-1,-1,749844,219195,888317,-1,-1,257886,937965,52751,818392,754063,339975,-1,82451,-1,844860,944353,483217,263276,-1,240540,87661,295854,448596,608028,970692,463916,-1,720199,119200,657510,450104,261150,504270,-1,939836,460211,21094,-1,257447,841487,-1,103706,287294,359446,-1,370480,-1,702922,-1,886649,607541,268364,366724,572274,762904,-1,270368,766178,771495,-1,-1,448345,-1,-1,-1,841185,719260,-1,-1,-1,-1,-1,-1,428978,-1,688183,944936,223322,-1,154736,143591,511650,731433,-1,-1,-1,-1,548312,-1,-1,-1,587599,-1,-1,-1,963105,-1,-1,-1,793993,-1,-1,310963,577915,545133,263549,12505,-1,-1,-1,-1,306420,-1,162618,-1,516027,413145,114024,547771,-1,591375,-1,253477,426981,-1,8318,844965,-1,567617,886993,-1,136844,-1,-1,190623,664543,18255,-1,379074,-1,477541,394680,421091,968306,790201,351151,-1,-1,-1,336992,-1,552920,984196,333478,-1,456590,409839,-1,-1,-1,-1,761992,-1,123594,254922,663692,-1,384572,305717,-1,969562,-1,962914,-1,841928,2338,867523,-1,861983,-1,799024,-1,285344,-1,488690,-1,-1,-1,-1,-1,-1,639877,363888,66733,86770,949124,-1,795820,-1,-1,-1,36723,-1,-1,65974,338096,-1,-1,307691,-1,626053,-1,-1,-1,-1,-1,-1,-1,365829,8709,-1,-1,852029,122571,-1,-1,59508,-1,544250,-1,-1,-1,-1,227589,443118,-1,587339,-1,-1,324759,5851,390210,-1,-1,-1,-1,-1,333161,303981,-1,64898,334889,-1,706458,189929,-1,752478,-1,448562,-1,869415,-1,-1,598721,838294,579702,662766,432917,-1,-1,-1,-1,-1,-1,346450,-1,876244,-1,-1,-1,858916,601070,456399,44347,-1,-1,-1,357697,-1,-1,513682,-1,551796,-1,-1,983926,994422,821096,-1,-1,-1,521880,-1,804830,387401,994243,-1,650659,391017,-1,-1,449637,103293,62737,601736,-1,-1,-1,888228,-1,-1,-1,904218,-1,604058,847519,-1,-1,-1,-1,-1,759659,-1,-1,-1,-1,900328,815455,-1,743343,-1,-1,-1,-1,516537,715143,-1,707242,888198,-1,-1,-1,402744,638579,-1,-1,-1,-1,-1,426754,379165,-1,-1,-1,660280,917441,750205,-1,-1,-1,265229,-1,444564,-1,620315,619194,95434,-1,-1,228619,-1,938619,813213,890612,286834,-1,136822,686689,365882,-1,-1,-1,105663,-1,-1,852312,457487,932583,494918,-1,646962,-1,-1,-1,-1,88015,-1,907541,-1,77187,383561,193217,298286,-1,272407,-1,874915,66520,379975,893448,-1,880946,-1,722682,171331,109574,543987,698216,764245,-1,505093,-1,853294,939333,358930,303647,-1,919603,434378,-1,-1,254456,-1,503052,427884,-1,-1,-1,-1,-1,-1,460096,-1,-1,477928,531029,55818,160044,428778,795536,748638,-1,50209,-1,-1,141737,690193,654081,-1,679112,-1,611396,976558,218354,71770,-1,-1,384725,-1,129232,-1,357530,910227,378352,-1,-1,728608,-1,-1,182384,-1,-1,828613,539364,-1,519698,105876,-1,-1,29738,-1,795489,-1,-1,-1,945030,750233,860875,-1,-1,-1,984584,-1,-1,-1,358450,396195,-1,144731,-1,453195,388152,-1,342119,260720,884813,-1,635460,516583,-1,786836,-1,-1,-1,-1,-1,-1,665379,-1,498482,-1,796531,316719,838682,-1,-1,-1,-1,158680,186926,-1,431855,594755,-1,-1,543530,-1,-1,632978,-1,-1,647844,-1,758174,268009,-1,210990,867768,-1,-1,980392,944476,-1,70490,228424,-1,-1,137024,216052,532384,-1,388309,-1,-1,222165,-1,789891,979598,550983,76180,943634,-1,196748,-1,-1,-1,985077,359721,-1,-1,469074,-1,999879,-1,-1,860296,-1,651649,522612,249692,-1,642518,11807,-1,88843,462899,165576,648813,-1,-1,993549,814407,951830,124617,4138,16389,-1,969232,-1,388523,316947,491087,111496,-1,-1,-1,786245,26267,-1,-1,-1,-1,-1,-1,-1,571538,-1,19642,824953,-1,-1,-1,673408,-1,540648,814020,976151,-1,189897,-1,-1,-1,-1,-1,222631,393968,316560,-1,53594,-1,139760,-1,711222,-1,446533,668466,-1,-1,89257,-1,-1,316317,172227,-1,406473,-1,262656,270890,612956,-1,169931,-1,733684,978931,52701,-1,542061,-1,578039,-1,-1,-1,801721,-1,108125,-1,77171,-1,612928,699073,267671,-1,-1,-1,-1,-1,-1,-1,448707,253888,836958,25275,20387,-1,-1,-1,66402,-1,-1,980200,366704,791841,774839,770040,-1,-1,187045,-1,38789,217218,-1,-1,655951,729734,-1,272283,663482,-1,-1,-1,701339,280285,-1,-1,15857,74483,331468,606847,-1,688321,774207,-1,-1,506709,-1,-1,-1,223676,-1,338423,-1,-1,93722,-1,-1,540635,-1,730565,255459,306339,-1,409764,-1,843977,27874,-1,-1,422933,784673,-1,227967,-1,-1,-1,91223,741668,752891,-1,29822,-1,-1,-1,-1,-1,-1,-1,251645,341678,131900,-1,-1,-1,-1,-1,-1,-1,-1,-1,886950,107549,322129,623024,-1,-1,100917,-1,-1,165056,-1,730099,-1,650132,-1,-1,-1,246898,154129,-1,-1,362927,765254,-1,655681,968305,-1,-1,989592,679124,-1,-1,-1,559020,190564,-1,-1,-1,935384,974504,-1,70516,501187,-1,701932,-1,-1,439822,883603,66209,729092,-1,-1,497285,568465,146812,756960,901689,660992,189699,-1,-1,681536,-1,267462,-1,800850,-1,-1,580046,693607,-1,162198,207428,529206,406516,878610,98573,-1,-1,782269,-1,768656,353451,67857,-1,553811,376922,150112,-1,527712,-1,-1,-1,-1,427739,286666,-1,917730,-1,-1,708793,457502,689187,-1,-1,309115,-1,-1,-1,-1,9370,275289,230638,-1,-1,846483,-1,-1,-1,308475,-1,527646,287990,759884,-1,-1,-1,-1,-1,290340,-1,121344,-1,-1,-1,89251,-1,199730,-1,-1,-1,-1,646371,8634,521453,-1,-1,158067,986922,409818,577514,309277,-1,-1,-1,-1,856545,-1,297757,78476,608849,500493,-1,743401,364094,-1,-1,-1,640194,-1,440324,150224,-1,-1,-1,346127,616620,-1,-1,341378,583685,-1,-1,962733,145090,639665,-1,-1,-1,728556,-1,162848,-1,873455,-1,-1,-1,950983,-1,295763,-1,-1,639040,-1,-1,-1,785980,-1,-1,-1,-1,-1,141611,602257,30476,110169,-1,-1,552337,-1,840580,-1,269966,-1,259610,664587,-1,-1,-1,-1,-1,-1,647332,-1,423681,-1,718666,78869,-1,181126,-1,648795,408868,-1,-1,-1,786779,992189,-1,144300,-1,-1,-1,-1,264253,340156,-1,100149,737324,-1,-1,-1,673702,-1,-1,580368,-1,-1,683770,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,776194,521760,794030,-1,795743,767334,-1,-1,-1,-1,-1,887839,607530,-1,-1,938454,-1,283684,940800,-1,-1,-1,650979,888160,-1,-1,-1,-1,702127,-1,-1,126738,-1,-1,-1,6668,996683,612701,-1,-1,-1,18015,-1,-1,820096,474273,140259,612394,447046,-1,266785,27351,842550,-1,675324,112393,-1,-1,317087,-1,-1,862388,654249,678083,-1,294243,-1,389572,-1,-1,-1,247164,885163,841460,158497,-1,141926,607850,-1,-1,-1,203302,-1,259351,784012,478880,402046,-1,-1,-1,-1,-1,-1,-1,674333,973109,-1,-1,322949,773596,347429,503000,-1,338830,964742,-1,564096,-1,-1,159192,-1,-1,-1,397102,581470,533609,-1,954782,259225,125956,-1,293217,-1,641797,159514,-1,895005,548638,-1,165552,594414,-1,-1,-1,342110,-1,-1,986726,254971,-1,-1,162924,376582,-1,-1,742290,-1,-1,197637,86993,64930,258820,-1,-1,877539,-1,85773,391300,-1,-1,-1,455879,-1,717401,466974,400563,619575,759878,255833,387899,-1,70190,608613,-1,346837,-1,-1,-1,-1,-1,782404,-1,-1,260764,-1,46661,862714,-1,-1,-1,781008,-1,-1,-1,168865,-1,807085,-1,-1,405338,252238,-1,965068,-1,747498,-1,264189,-1,-1,899755,914968,-1,-1,318088,194082,-1,-1,-1,979187,850553,-1,-1,-1,755563,-1,-1,287946,-1,-1,-1,956611,-1,185217,427094,676081,688405,552322,928728,718403,923909,-1,470600,-1,746230,-1,-1,-1,414502,147882,-1,-1,-1,496710,614681,199539,-1,-1,-1,-1,822066,-1,-1,444142,-1,-1,494456,98224,-1,-1,49828,418258,952403,-1,134706,-1,-1,11086,-1,-1,-1,-1,412259,-1,-1,-1,-1,-1,-1,-1,472177,445219,-1,529591,960709,790304,-1,264768,-1,-1,782514,479609,894265,871857,-1,320606,-1,157130,682857,684435,-1,-1,-1,101414,968901,303117,-1,-1,-1,-1,898675,848656,-1,777884,134092,-1,-1,-1,-1,825427,715812,-1,265428,-1,-1,-1,-1,-1,727434,405075,713842,229471,877130,-1,-1,229617,570535,-1,-1,646072,733994,404491,-1,22204,-1,-1,-1,-1,-1,-1,-1,358409,-1,-1,-1,-1,290428,747641,258279,-1,-1,807076,159288,-1,706164,-1,-1,-1,282698,-1,546910,-1,553500,-1,-1,-1,-1,446036,134019,-1,-1,103845,275322,-1,712116,-1,277541,728165,953269,173693,309392,39012,575003,-1,762555,-1,297700,792939,931519,-1,697642,979655,269626,463414,415196,-1,-1,910736,-1,558879,-1,-1,-1,-1,-1,-1,456184,-1,440267,-1,114130,-1,-1,167981,464015,108990,-1,935346,-1,-1,-1,-1,557590,886631,-1,-1,775578,-1,851272,49075,-1,-1,-1,-1,629530,-1,-1,-1,187736,104996,401510,17095,27523,-1,-1,-1,268608,939325,946711,-1,420079,-1,-1,-1,732915,841909,-1,-1,-1,69105,-1,-1,-1,-1,568661,-1,929902,-1,620828,45411,298970,488801,537831,-1,348705,-1,23715,-1,656947,563258,-1,619734,878331,835962,-1,171143,-1,250882,-1,-1,-1,-1,796302,-1,125244,574047,373894,447827,-1,-1,34437,-1,-1,-1,-1,702171,-1,-1,716646,-1,266490,711428,-1,-1,-1,735723,-1,343203,233022,-1,197020,-1,590447,-1,809904,838712,-1,602972,-1,278616,-1,780814,455333,115172,-1,253280,484182,190189,765379,-1,-1,614763,-1,231266,412551,716025,740001,-1,-1,445216,743177,528926,998139,355479,-1,575803,333966,-1,303140,500633,703382,737667,615295,245501,-1,-1,-1,-1,-1,967088,-1,-1,821314,-1,338626,-1,450990,-1,511511,-1,821638,938946,77213,779757,199362,676704,12657,573090,-1,-1,-1,349772,910262,623055,697776,16102,715838,25560,-1,993931,-1,521965,-1,-1,-1,-1,266741,109096,909071,-1,-1,10669,-1,-1,-1,-1,-1,73992,-1,-1,291323,882367,450913,-1,-1,-1,-1,-1,-1,-1,91240,-1,-1,-1,963149,-1,-1,516920,194556,-1,-1,267478,380376,-1,-1,-1,-1,271738,287810,490989,-1,-1,-1,663369,613226,570626,780733,388715,-1,107121,620397,409208,-1,442524,-1,-1,181272,907329,47865,-1,-1,789299,-1,137705,-1,-1,-1,882705,131017,-1,-1,-1,-1,-1,699759,173917,-1,-1,414528,425964,-1,84451,-1,-1,-1,696763,-1,-1,-1,104547,-1,-1,870134,364201,-1,469747,-1,12959,105776,-1,-1,21636,452183,-1,628646,-1,-1,-1,137011,172237,-1,-1,-1,73825,905174,882430,463426,659749,-1,744824,404981,-1,-1,-1,43571,-1,-1,-1,-1,803577,-1,589461,-1,-1,-1,-1,-1,859925,-1,-1,-1,-1,452523,-1,-1,-1,63706,454301,960441,69308,-1,867357,511961,-1,-1,-1,510678,223178,-1,-1,-1,-1,-1,-1,77669,484343,482999,194969,200140,-1,257922,539122,-1,-1,775661,903979,367734,706896,166498,-1,15920,-1,-1,339459,687004,704793,537586,331408,415028,-1,-1,-1,54602,36725,-1,-1,72396,-1,790469,406922,465697,809110,927433,-1,733836,306725,-1,-1,-1,533002,322153,-1,-1,771964,-1,-1,-1,-1,-1,-1,-1,-1,338028,-1,523206,-1,981189,89573,217599,-1,-1,842487,374941,693677,-1,786710,11432,616857,57534,172720,-1,29735,906113,-1,-1,-1,-1,-1,-1,137791,199383,223101,-1,-1,922646,860864,629940,929933,647477,-1,446461,169354,166727,-1,-1,784875,-1,-1,81071,-1,-1,-1,-1,-1,-1,-1,94229,399003,712494,-1,-1,227800,821727,-1,-1,317467,670638,-1,-1,399978,158563,729570,356552,772643,-1,707920,581970,202323,646946,419560,-1,-1,183885,993578,-1,-1,809733,247073,-1,-1,-1,-1,-1,-1,-1,-1,674209,724579,-1,-1,-1,-1,-1,630432,-1,-1,669847,-1,-1,787963,45199,256339,447510,800490,-1,-1,441751,484300,523719,484526,-1,453495,-1,344984,-1,466216,-1,188612,71876,326440,815005,400570,-1,-1,96514,-1,874748,-1,-1,-1,535164,490898,707263,-1,742261,-1,-1,565265,653128,-1,-1,355464,248554,698272,422284,773067,994386,-1,-1,694477,824813,790044,-1,276357,525934,-1,799831,906936,694409,535369,192913,58125,-1,320362,862271,211486,823656,105768,-1,290409,-1,-1,-1,-1,-1,929905,-1,196855,-1,919561,-1,-1,-1,919474,979916,-1,-1,-1,537881,-1,37376,-1,158978,149775,206065,973583,822507,-1,-1,-1,-1,-1,437899,-1,425505,-1,455158,-1,-1,-1,-1,686933,-1,573401,-1,136787,-1,-1,-1,-1,477140,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,873261,290992,-1,-1,766175,73564,852818,-1,-1,438543,886716,-1,813325,703220,138287,-1,-1,67824,874982,160519,-1,710000,813545,-1,637446,467113,339764,-1,305602,103781,-1,408750,938059,681200,-1,781370,-1,445973,-1,-1,575886,414370,-1,-1,-1,-1,-1,55305,-1,-1,-1,-1,429279,242732,-1,-1,723482,921920,119511,-1,186522,30653,482368,49573,-1,-1,-1,-1,458443,-1,597932,-1,-1,-1,-1,-1,-1,97028,-1,339910,-1,741700,311485,104773,-1,499271,-1,684949,-1,675703,856926,314453,112460,78953,-1,-1,510902,-1,-1,105758,-1,-1,791125,506619,-1,-1,-1,71073,-1,-1,670994,645675,675728,883833,164736,-1,534936,822466,-1,-1,-1,585952,-1,431657,-1,797994,538700,89725,852194,179703,874520,-1,584605,246533,-1,882998,-1,-1,510768,-1,-1,472469,281746,-1,-1,116484,392355,379427,265959,-1,-1,-1,489812,-1,-1,-1,-1,808625,-1,-1,10819,127833,713869,139499,-1,-1,-1,-1,-1,-1,-1,-1,655439,476893,761264,20716,250275,-1,145854,737984,-1,349316,-1,-1,-1,-1,559531,-1,-1,344736,-1,944423,-1,-1,-1,-1,-1,-1,-1,-1,-1,920372,-1,-1,-1,32516,-1,722020,-1,-1,639677,913732,-1,705462,-1,17199,-1,67831,443705,-1,-1,-1,799177,-1,858711,138193,-1,36625,679876,48380,-1,-1,90592,-1,228556,933254,129185,811234,816969,-1,-1,-1,383703,610728,471084,-1,425901,234911,440512,-1,195176,-1,766554,-1,109992,629703,-1,-1,714274,-1,-1,-1,230779,-1,791761,189676,-1,819483,690496,260887,-1,849561,980456,272121,595950,767867,-1,-1,-1,988842,883035,966486,-1,64643,-1,498199,352619,546528,128750,-1,-1,322647,-1,-1,752477,256630,-1,-1,399771,-1,-1,-1,-1,304092,512021,-1,-1,774408,973090,596842,-1,830945,774934,-1,-1,873650,-1,706533,-1,-1,872319,-1,-1,665138,637502,-1,-1,521800,-1,610813,-1,114708,-1,-1,-1,-1,-1,584932,456,374516,293079,785985,397232,110153,361343,800199,-1,446953,499401,-1,-1,-1,922304,910878,578838,-1,-1,56253,-1,-1,306287,-1,591997,429592,-1,912804,-1,-1,-1,457531,932218,296164,948478,-1,322912,-1,-1,-1,620439,531689,520691,86198,925147,-1,981249,370609,835571,358963,-1,403932,383657,-1,490502,-1,-1,-1,-1,-1,-1,374906,-1,-1,809464,-1,-1,-1,-1,898177,-1,-1,-1,-1,-1,144466,144838,307175,821360,-1,663186,134197,-1,22007,-1,342774,-1,-1,437447,-1,-1,-1,776840,413062,252890,561368,534674,-1,184367,-1,670883,177807,539844,489409,-1,331622,-1,756134,-1,66374,-1,882680,461883,463081,-1,678852,858561,504208,-1,-1,-1,431907,-1,-1,-1,637042,920668,-1,-1,880641,-1,401247,-1,-1,-1,29431,-1,-1,316044,348992,329275,-1,925670,-1,-1,-1,-1,908053,56721,-1,-1,-1,267908,201577,-1,170280,-1,897011,-1,536508,-1,751480,-1,952703,210291,-1,308591,970391,-1,709606,207100,-1,-1,-1,939655,-1,-1,-1,-1,587408,618975,-1,570023,878483,938940,443976,643497,-1,857773,621365,-1,-1,971133,8507,369491,969628,-1,434431,906985,-1,915333,281178,-1,241563,850174,-1,993636,463887,-1,-1,329151,313085,13415,-1,635700,-1,-1,-1,977693,293877,-1,252742,-1,-1,524890,-1,317311,-1,252829,45537,48486,-1,-1,158440,-1,-1,73060,935101,22048,432563,727836,494115,777740,254343,192520,-1,488191,855947,36508,-1,663152,-1,-1,-1,793052,721471,-1,644071,161024,-1,967211,859799,-1,208497,501716,104515,-1,308415,-1,817407,946599,-1,-1,-1,145454,550434,-1,-1,339913,-1,-1,-1,678953,996064,29102,-1,-1,-1,-1,196171,-1,-1,193109,502486,-1,-1,-1,-1,-1,725939,737712,-1,591321,-1,-1,69516,140668,477482,-1,-1,101035,-1,406224,310596,266916,-1,206631,-1,948004,548862,5844,150050,-1,867918,-1,203770,810809,-1,10699,-1,554955,5800,348396,-1,-1,31310,-1,-1,725905,896356,-1,529189,-1,-1,918187,-1,-1,-1,-1,-1,-1,183202,-1,761975,-1,-1,937010,200057,154616,100419,975675,817705,722685,-1,397441,-1,-1,-1,960217,491476,-1,-1,-1,201503,-1,630499,-1,132247,-1,320237,-1,-1,125594,-1,927375,-1,-1,-1,-1,-1,-1,315918,-1,39212,-1,239338,79270,-1,-1,-1,349622,292532,999603,685168,-1,232591,-1,-1,-1,655540,428931,902553,710940,-1,-1,524170,-1,-1,290855,-1,-1,-1,-1,188879,742136,307836,447034,693929,888609,690523,65044,-1,-1,-1,-1,-1,459627,150637,86575,-1,942464,-1,-1,-1,-1,-1,498178,892981,715637,-1,-1,-1,92154,417369,74998,-1,-1,860870,-1,-1,-1,451602,-1,-1,-1,580599,-1,960143,950094,-1,341274,331540,-1,282016,-1,135957,306095,712075,475707,-1,-1,-1,-1,882588,603319,756706,-1,403851,791320,113129,-1,284968,975889,954416,-1,904484,-1,-1,973326,-1,630737,752462,-1,-1,965438,268138,706108,607893,-1,-1,508514,-1,342160,-1,299867,371531,-1,557228,797325,667657,530723,-1,130371,-1,-1,-1,-1,765078,-1,-1,-1,31837,-1,170858,497348,-1,205237,-1,-1,197565,860885,-1,-1,878233,-1,223457,861296,-1,-1,828715,-1,492491,550322,-1,416337,-1,700261,986831,-1,58369,4735,64113,42957,-1,189208,-1,318849,-1,-1,-1,-1,535704,219324,-1,-1,804346,-1,-1,-1,295010,533250,-1,506517,184277,71952,-1,677947,-1,-1,340395,-1,237227,-1,668419,-1,958178,-1,-1,-1,692553,-1,78320,705686,-1,-1,-1,82839,375732,912971,-1,554648,428871,-1,51294,561108,-1,-1,516616,542960,935860,887556,787135,816292,967118,417547,902534,978247,-1,529817,761560,-1,575519,-1,-1,746744,340610,465420,314229,-1,-1,181643,-1,-1,-1,607201,-1,-1,574307,670767,-1,-1,-1,330485,646602,957704,389275,362541,433705,876619,811315,545778,923882,304505,822860,958749,-1,508262,67104,-1,615788,480410,989403,968607,358423,341386,-1,-1,123446,729163,-1,760761,306225,-1,-1,-1,-1,-1,667610,-1,-1,-1,-1,-1,-1,779642,-1,521763,-1,889191,180793,-1,68693,112888,-1,-1,-1,-1,564068,-1,25495,-1,-1,432197,-1,-1,153976,-1,-1,-1,-1,5406,189028,213507,682045,792585,-1,-1,-1,114079,-1,-1,-1,255923,919457,-1,984752,-1,-1,292751,278677,64562,68254,-1,-1,85753,-1,-1,-1,-1,496479,145089,-1,-1,281889,-1,-1,-1,-1,879714,602774,170745,-1,281600,-1,21396,998498,624503,906882,744900,624174,480625,764022,678908,-1,106942,283373,325652,11504,623652,293153,858127,-1,448424,-1,-1,-1,-1,-1,477560,-1,817230,533899,-1,709554,-1,857879,-1,-1,273699,-1,702272,-1,-1,-1,767283,-1,-1,-1,5126,-1,-1,-1,852036,-1,71278,761409,546718,-1,270983,-1,-1,466416,-1,488602,16445,66721,809543,972621,-1,-1,-1,883684,825092,-1,-1,-1,-1,-1,47427,368680,630962,-1,-1,-1,-1,183119,551753,107522,-1,876560,701753,561058,-1,-1,808867,5371,127250,-1,849452,-1,-1,-1,-1,242375,-1,-1,-1,-1,-1,981182,855021,-1,-1,-1,201496,-1,-1,-1,-1,198042,-1,650245,403343,-1,713102,78491,-1,729634,403234,533327,776287,455001,-1,-1,624846,-1,-1,533920,-1,-1,865644,-1,-1,-1,617654,937540,21730,-1,537790,-1,-1,663002,-1,115752,492559,-1,165845,-1,-1,-1,158040,447908,899434,473800,76579,807372,-1,-1,-1,-1,535828,-1,-1,26766,-1,609114,736186,620309,-1,865284,-1,176322,-1,495958,-1,800307,-1,-1,466120,100008,342218,-1,992454,-1,622757,481292,850460,268675,558278,-1,762730,105493,653892,-1,-1,873276,-1,-1,-1,-1,194123,799313,-1,407354,-1,-1,138479,398964,-1,5227,-1,-1,-1,-1,-1,630444,-1,771442,-1,-1,-1,-1,151826,-1,570167,305636,-1,139900,955115,161288,-1,-1,81101,227665,-1,93363,596789,955892,-1,-1,-1,340059,538880,-1,-1,794658,331209,-1,659303,297538,-1,-1,916963,504480,-1,-1,606721,674199,-1,970700,-1,-1,430252,373127,930290,404138,213322,385228,-1,67918,850172,344969,-1,92942,37310,-1,-1,359485,-1,-1,286027,-1,-1,1401,502591,71609,-1,-1,-1,-1,10140,435393,-1,668930,740202,-1,-1,119296,612613,-1,432955,909580,-1,269671,-1,-1,34638,-1,598856,-1,-1,-1,-1,43813,-1,593586,-1,-1,-1,-1,227050,-1,-1,125173,658174,697493,-1,159459,148585,1525,457978,-1,-1,-1,373570,102248,-1,845582,478994,517194,-1,822847,-1,101521,228510,-1,724481,-1,-1,-1,-1,941977,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,239178,-1,-1,-1,-1,-1,-1,-1,274997,175994,-1,133306,502067,-1,565281,-1,644165,-1,243282,124683,754137,-1,-1,-1,253039,-1,-1,58955,249170,214859,176080,-1,-1,343414,749949,-1,-1,-1,699661,700979,-1,-1,101097,-1,534594,-1,-1,399446,998814,-1,-1,-1,-1,-1,420049,331661,-1,-1,168094,785542,83514,-1,683907,268046,910680,321567,-1,-1,-1,611690,508268,283325,-1,-1,-1,-1,406512,295586,-1,-1,996597,-1,802227,674369,-1,876376,-1,-1,894447,579490,-1,-1,465775,-1,-1,444127,863895,775736,814819,896544,-1,-1,402550,644945,522215,668272,397993,657987,-1,905758,336513,-1,799655,-1,-1,302357,72753,588179,-1,-1,591609,-1,234772,-1,896439,791179,556948,-1,703912,661760,-1,762156,-1,-1,-1,-1,477144,-1,-1,631150,349672,-1,-1,-1,772338,697298,323486,491437,-1,483290,768388,-1,-1,266621,-1,152316,-1,703123,-1,944434,-1,-1,-1,527430,-1,-1,-1,-1,-1,510497,-1,-1,-1,-1,-1,-1,-1,679137,325786,-1,78061,713286,809666,142934,419343,289152,-1,-1,-1,432373,-1,-1,-1,-1,466558,43245,-1,-1,-1,-1,-1,189769,976329,783236,552115,-1,567274,-1,-1,937785,906811,-1,29893,168609,-1,753218,-1,-1,902304,155966,-1,940976,-1,237630,434883,836214,-1,-1,717327,-1,-1,978301,-1,147718,159947,-1,-1,482269,45622,-1,-1,81183,701823,-1,-1,-1,-1,850021,149222,183792,-1,-1,-1,473142,95201,-1,161558,915568,982314,-1,395989,-1,-1,-1,-1,608363,222615,856100,-1,200902,-1,323478,714297,-1,-1,-1,-1,-1,-1,96360,-1,139583,-1,-1,8881,793676,-1,431186,-1,260363,-1,44778,-1,231618,363308,679026,-1,418760,146081,-1,-1,919392,-1,-1,940033,534912,272029,-1,-1,-1,486505,933863,610158,-1,-1,225699,-1,144511,-1,693007,-1,-1,161995,266552,-1,259032,61026,-1,-1,-1,88030,-1,-1,-1,-1,396578,-1,547238,-1,-1,794815,75055,-1,28348,-1,-1,-1,215515,-1,404335,38152,552304,748969,-1,-1,-1,299171,221011,68436,351940,37747,2857,371746,578748,-1,760176,-1,-1,825066,-1,-1,-1,-1,919730,68356,-1,957222,-1,-1,994269,-1,-1,680047,-1,695383,525287,476943,-1,-1,915169,722803,645476,-1,-1,-1,-1,411864,-1,978975,921632,-1,-1,-1,99908,-1,309339,-1,-1,94744,-1,-1,383124,73204,-1,952719,-1,666339,720386,351322,-1,-1,-1,-1,641009,320799,908069,184214,622580,947987,-1,-1,490640,791223,34931,378490,-1,-1,109734,926664,987016,-1,212436,541444,859406,-1,-1,984408,635215,21408,581668,-1,342969,343862,372452,829345,598248,-1,-1,-1,85410,346651,776860,-1,786790,-1,966150,-1,-1,-1,-1,924346,765371,971960,-1,-1,386227,-1,315229,578615,-1,424317,-1,-1,-1,-1,-1,252707,825109,220830,852417,17893,321689,237179,-1,497276,337756,-1,-1,80450,-1,-1,-1,-1,244817,915224,-1,517626,211385,-1,654203,206920,-1,-1,-1,-1,441494,640551,568740,442835,526376,125453,-1,-1,-1,46815,-1,853691,-1,-1,51850,60184,-1,101300,929764,279592,-1,-1,-1,-1,-1,31996,-1,-1,-1,-1,-1,-1,849846,423016,931813,931006,-1,-1,111922,598763,-1,195341,251623,786621,-1,-1,721830,134581,-1,-1,434026,-1,272013,-1,601772,169597,-1,-1,-1,-1,601208,-1,-1,-1,-1,381172,-1,-1,-1,-1,590274,-1,221340,833534,-1,-1,552149,-1,-1,918242,-1,534709,41219,693467,633782,827283,-1,-1,859986,-1,-1,708505,671292,982820,415191,638243,198172,838951,82589,-1,680293,-1,-1,892381,-1,-1,-1,596028,-1,111770,-1,-1,770463,-1,370079,973572,-1,879834,965748,-1,740598,-1,-1,736193,-1,968605,-1,-1,224724,-1,-1,-1,109282,-1,-1,386558,-1,-1,182816,-1,152862,-1,925893,-1,-1,-1,210587,199568,901048,-1,-1,620785,35440,234234,-1,873804,20951,286637,-1,-1,207715,861913,574817,-1,261031,-1,-1,702595,391650,869564,276742,706355,888751,-1,576236,-1,689128,794173,-1,-1,227458,-1,-1,418074,-1,693047,196421,812751,333268,303974,-1,-1,569411,398885,810410,-1,-1,572860,276691,-1,812265,-1,308689,-1,673306,-1,451204,-1,911915,-1,9312,-1,-1,594503,-1,808960,-1,15088,665543,477463,-1,-1,-1,-1,-1,762363,110705,-1,754310,491207,338378,918797,-1,785654,-1,554889,71980,-1,-1,-1,205247,939403,86508,116996,-1,75630,487638,-1,51836,10170,-1,-1,-1,84956,-1,-1,762877,-1,800719,984446,-1,171940,171337,559916,1232,259555,-1,836860,229466,-1,-1,957595,461877,673402,646874,977468,375203,127301,393992,40712,331383,736443,292363,834800,870387,190009,952101,563400,642657,-1,-1,-1,-1,755635,-1,837830,799956,-1,85445,-1,289135,-1,290782,462213,948002,274110,-1,-1,-1,-1,-1,-1,-1,163395,116538,-1,-1,-1,-1,-1,-1,-1,-1,-1,882035,603923,-1,593375,651136,521497,614006,630722,-1,-1,766225,-1,-1,660097,426491,-1,-1,215694,-1,-1,-1,561354,-1,-1,-1,820236,-1,516673,163312,-1,693884,-1,65010,-1,-1,2664,-1,-1,5791,663313,-1,-1,410010,-1,-1,995517,-1,-1,145822,-1,554551,682820,542954,949246,997911,-1,764057,860893,-1,-1,-1,355147,-1,-1,595728,-1,-1,-1,-1,86829,461312,-1,-1,354680,689243,676590,-1,889810,411588,516052,-1,238366,251145,735636,-1,656040,294867,-1,129824,418703,981802,210039,-1,617048,-1,6918,699934,-1,-1,-1,60507,475554,387886,-1,486739,-1,-1,263862,140608,-1,-1,-1,195666,-1,307424,-1,957156,-1,-1,-1,-1,28014,-1,-1,-1,123811,-1,238873,-1,-1,-1,878234,-1,-1,-1,-1,-1,-1,543540,141374,396694,289985,286070,-1,479546,863536,-1,862842,-1,42859,562662,754896,177713,-1,-1,-1,-1,648767,208866,-1,675855,372111,294347,-1,-1,962810,-1,-1,-1,126867,-1,-1,-1,-1,-1,404080,-1,590871,773515,-1,833109,-1,508880,511117,610619,640015,-1,975497,-1,-1,971263,828326,-1,56167,404631,764321,-1,590118,173909,-1,198408,-1,413480,-1,-1,-1,-1,755572,-1,309808,791558,-1,365238,-1,336433,952601,-1,-1,740919,-1,385268,-1,-1,-1,162380,926033,437263,-1,-1,947273,-1,593373,883875,259175,594898,586549,461975,122603,-1,774153,-1,560395,-1,6109,659672,-1,30117,905262,291175,711402,-1,558867,61917,892810,-1,940484,844836,145282,-1,389280,411772,-1,-1,467593,463714,577096,-1,-1,-1,-1,122717,-1,20798,-1,813186,133236,257653,-1,145708,819930,752492,-1,781433,220875,-1,625585,-1,-1,-1,-1,176075,133071,729229,-1,457539,-1,891361,-1,-1,706091,181508,-1,-1,477367,141123,465789,389920,831208,385648,714154,-1,44920,949843,-1,168764,-1,922220,105952,-1,-1,526582,434154,773436,-1,570374,138045,-1,757972,-1,-1,-1,842091,-1,437678,335935,-1,-1,126711,-1,19649,-1,-1,-1,-1,126836,-1,-1,282478,-1,-1,-1,-1,858108,807299,-1,-1,-1,-1,-1,-1,413969,-1,-1,642543,-1,-1,376442,827753,407545,894545,-1,11404,-1,95863,-1,147208,479,-1,227639,-1,-1,-1,-1,-1,-1,-1,-1,437072,769772,753221,-1,82657,-1,719108,-1,-1,-1,-1,-1,-1,-1,379704,-1,818717,-1,-1,-1,574143,-1,-1,-1,-1,-1,872917,465099,850344,879448,-1,726415,211089,-1,-1,-1,-1,153220,-1,410360,751654,61329,287389,648796,960731,177331,35734,73455,596993,-1,828183,841902,617879,-1,-1,288260,-1,95163,-1,767460,206091,852332,848867,-1,48314,-1,322759,936404,43685,-1,-1,193799,583377,688699,881808,-1,-1,-1,-1,163902,-1,486216,958597,-1,29541,-1,-1,-1,-1,-1,-1,-1,-1,938826,974467,-1,-1,-1,-1,-1,838640,-1,-1,612219,-1,-1,23646,-1,371011,977455,-1,-1,803551,-1,-1,-1,-1,15905,-1,-1,838574,-1,731939,959965,-1,816483,834931,-1,-1,-1,559832,-1,701039,-1,861885,79146,-1,367754,229010,-1,267763,865230,714293,-1,39421,-1,211554,720433,537854,93685,-1,458042,125749,-1,-1,-1,-1,-1,802539,-1,373154,-1,-1,-1,647113,-1,686638,384371,261522,99319,-1,71962,-1,722243,281591,440080,-1,782753,407166,-1,-1,836609,-1,337125,-1,-1,-1,-1,731187,251429,778397,165493,-1,-1,261593,452051,930482,-1,-1,-1,-1,-1,-1,921349,-1,940008,62464,-1,750369,182242,273429,-1,514106,690863,158805,896763,-1,408739,-1,-1,158959,-1,560058,-1,-1,-1,266739,43117,217776,568633,484489,-1,496323,-1,830840,-1,743910,677431,-1,-1,-1,-1,-1,-1,650697,-1,-1,500635,-1,716109,925724,552757,-1,-1,-1,-1,-1,-1,116300,888465,798885,469933,-1,-1,551587,-1,-1,908932,688805,-1,998590,420081,635578,900216,743572,-1,317948,682742,11752,-1,-1,780536,957501,963309,-1,865799,-1,-1,21962,-1,-1,271901,891905,553415,-1,-1,-1,-1,239511,-1,-1,515468,779053,-1,993299,335941,894450,-1,-1,-1,-1,-1,-1,-1,-1,766007,-1,-1,453635,-1,373198,-1,-1,192774,554486,265926,757258,806100,-1,-1,-1,-1,-1,-1,-1,221814,-1,-1,671574,-1,801448,876353,-1,-1,-1,-1,967543,-1,-1,-1,112320,-1,724858,356972,-1,448630,161615,-1,-1,222043,-1,-1,-1,-1,554012,-1,143597,994925,326963,38135,729200,329641,-1,-1,-1,433926,22370,746380,-1,432255,48961,35061,-1,-1,399749,541156,-1,-1,-1,-1,824287,238940,115271,218211,662400,-1,-1,-1,-1,295477,-1,-1,-1,409011,125681,-1,-1,-1,975783,-1,279904,450568,783046,-1,804834,-1,620629,712551,-1,708551,-1,-1,-1,-1,324901,-1,-1,166429,776801,407306,-1,-1,-1,-1,-1,221844,-1,295793,518051,-1,-1,37737,-1,-1,155210,-1,-1,960867,238420,-1,-1,-1,-1,713966,-1,-1,167137,-1,486424,575569,340582,834502,305293,-1,-1,-1,-1,828153,-1,357769,534362,-1,549759,279438,517751,620677,629435,-1,-1,149473,226324,156328,758498,-1,186211,127648,426175,-1,850507,-1,3816,729245,-1,216921,-1,-1,584870,7928,-1,820375,-1,789847,-1,889599,892126,-1,684861,-1,-1,-1,378928,768553,-1,-1,591009,-1,116522,739224,163639,-1,557543,-1,587175,-1,-1,-1,385639,888895,-1,690653,-1,-1,-1,688250,-1,190636,774940,305815,-1,-1,415166,-1,-1,932697,-1,-1,467417,-1,816570,9339,-1,-1,677877,475154,-1,213229,-1,346028,-1,-1,-1,-1,-1,137241,-1,-1,750457,-1,-1,353536,-1,-1,758353,-1,236383,844821,152570,-1,892734,264445,-1,-1,933726,-1,998788,-1,472782,350306,408521,-1,-1,115612,857308,896587,911106,86338,156852,-1,248816,561626,460169,-1,-1,-1,901565,-1,-1,735139,-1,-1,48612,-1,254930,851472,374052,380406,-1,885947,-1,720525,-1,229266,722210,-1,-1,-1,-1,416691,-1,-1,-1,-1,275174,-1,9395,409149,287253,110405,108377,-1,365864,-1,769205,781131,-1,24378,-1,-1,-1,-1,-1,553954,-1,-1,274577,713788,-1,548422,-1,-1,815074,607855,-1,218765,-1,-1,398172,-1,-1,-1,-1,952796,-1,-1,-1,-1,72013,-1,507321,919089,-1,-1,130840,-1,-1,531572,235181,-1,-1,483804,-1,-1,310757,-1,-1,848504,199439,-1,-1,-1,946634,-1,-1,-1,-1,-1,834542,-1,410034,460237,440436,-1,-1,878451,879382,-1,-1,-1,-1,-1,73567,797490,-1,876606,-1,-1,19158,-1,-1,85051,-1,-1,-1,385901,602209,-1,243023,-1,591859,305932,-1,790904,342109,-1,384948,869898,947668,-1,-1,-1,936177,390994,816709,257010,176836,-1,-1,-1,-1,-1,-1,-1,-1,45487,-1,-1,284974,-1,710128,-1,-1,626401,-1,945415,-1,-1,589601,97620,-1,-1,-1,651185,-1,921311,-1,-1,-1,375113,541961,458215,-1,260520,825061,-1,187349,530271,-1,957409,-1,393837,561041,-1,-1,-1,329682,-1,569719,-1,200667,602245,287182,553387,-1,-1,716361,-1,833626,-1,-1,55828,214071,-1,650013,-1,-1,-1,-1,664862,-1,-1,898807,-1,-1,997061,-1,64281,-1,-1,-1,348577,-1,-1,-1,-1,266487,-1,-1,-1,-1,-1,-1,312872,106766,-1,-1,-1,718750,981445,-1,-1,610800,-1,-1,664809,678672,-1,871074,340057,732157,257634,-1,152903,919817,-1,81623,-1,-1,223102,-1,-1,822126,419776,-1,-1,-1,-1,495389,6907,-1,-1,601117,810923,-1,301405,-1,-1,-1,-1,888403,518171,426307,112096,771916,53090,-1,-1,713362,967497,698132,470713,292947,920226,665429,-1,360439,-1,-1,280468,-1,-1,263554,-1,520266,345372,282436,433302,988901,866138,-1,-1,439530,554323,-1,537028,91112,-1,-1,-1,-1,385921,722882,28580,-1,596165,-1,-1,395958,-1,352914,486177,-1,138535,-1,-1,274522,987113,-1,757709,204883,-1,111548,743805,124116,-1,622945,376094,751088,-1,-1,-1,868606,-1,-1,-1,101303,-1,878214,-1,-1,332307,846830,301031,-1,94380,167802,-1,-1,-1,700380,-1,-1,-1,733318,588967,-1,-1,-1,-1,449536,318534,-1,-1,348975,5840,-1,-1,-1,459629,-1,-1,180986,370512,577336,831049,875107,590577,503850,507309,989303,97840,-1,-1,-1,830578,-1,452616,-1,-1,-1,975881,-1,-1,-1,50790,-1,366521,-1,-1,639326,947865,-1,377075,887893,-1,-1,-1,-1,617179,-1,445106,-1,745893,991157,-1,227317,866396,963721,176062,-1,181667,-1,-1,503226,849180,-1,-1,-1,562805,-1,-1,717221,-1,-1,-1,-1,11892,132918,-1,218649,18949,-1,188852,-1,99337,-1,-1,-1,65439,792680,820000,-1,-1,-1,-1,-1,-1,628847,980713,821807,440597,817704,579667,-1,442816,527438,890601,-1,-1,-1,873779,216331,-1,-1,91373,278516,560748,549826,686503,728847,93350,300251,205887,-1,541728,571113,211640,-1,-1,961886,793572,485909,684963,-1,660514,290513,673590,799199,729908,-1,372659,911329,122498,353355,908458,988187,-1,-1,-1,-1,-1,799517,601396,-1,-1,-1,-1,243469,-1,-1,-1,-1,-1,-1,851615,379027,118062,-1,-1,891531,671334,-1,-1,-1,-1,-1,-1,334093,205763,757260,640364,-1,146955,-1,-1,509787,820704,-1,-1,153455,497711,626847,-1,-1,584630,304387,223120,612734,-1,937237,-1,-1,82275,104489,-1,-1,698080,-1,391480,74722,-1,-1,203283,159612,-1,87630,-1,-1,-1,-1,980793,224528,579336,-1,26268,-1,965531,312745,916057,-1,-1,-1,732910,-1,682386,103202,-1,22486,280250,-1,-1,794463,-1,768093,-1,-1,-1,967136,-1,-1,431802,639344,-1,-1,227834,624607,387221,344560,990176,376562,504073,-1,962512,-1,539420,-1,687497,294784,943978,-1,208023,-1,591569,755674,246040,-1,-1,536753,559503,-1,-1,-1,-1,-1,664441,247108,564176,966645,753729,116321,593049,-1,102316,-1,-1,737288,-1,-1,-1,404468,167712,-1,-1,547015,852275,-1,-1,654097,863422,378545,730566,128468,744054,-1,-1,589216,452998,360871,53519,-1,-1,875243,-1,-1,715539,-1,-1,-1,-1,-1,328414,65651,180648,-1,435856,-1,256370,-1,903158,-1,-1,119107,484579,-1,-1,-1,422531,-1,-1,-1,-1,-1,78181,-1,-1,570175,-1,-1,687986,-1,598754,848235,-1,568167,-1,798614,284709,147012,-1,447496,200400,-1,203339,890242,8880,-1,604614,-1,-1,436346,93252,47496,-1,369842,199358,326641,-1,483263,-1,-1,-1,499050,-1,-1,186203,85735,-1,-1,-1,-1,428568,-1,-1,758945,93336,-1,-1,-1,-1,59599,933009,-1,-1,-1,663490,-1,-1,537312,-1,76722,242534,170743,979840,-1,645671,181135,388144,131523,880140,-1,-1,-1,475133,-1,-1,-1,940794,273925,158814,110786,981020,363932,-1,-1,619055,-1,-1,-1,-1,-1,741382,600251,288518,-1,-1,-1,-1,127265,521129,-1,579456,68488,991718,-1,635375,665293,267909,-1,-1,-1,362693,947333,-1,-1,-1,477344,491797,813312,959566,-1,-1,555088,-1,-1,-1,-1,579319,787917,184129,-1,-1,-1,-1,700551,-1,64130,-1,-1,-1,760143,-1,418075,-1,-1,135537,-1,388802,-1,627938,810545,587145,130265,-1,-1,934734,-1,634425,-1,895476,-1,267293,957475,101579,250965,313934,711229,908962,-1,25923,868927,691384,531264,704103,347686,-1,173173,-1,-1,594788,-1,-1,338463,-1,998848,-1,-1,-1,737640,-1,221708,783164,59162,-1,-1,-1,-1,-1,304004,-1,874118,163896,-1,-1,-1,-1,305170,-1,-1,127251,644016,-1,856802,-1,676030,-1,-1,202385,-1,351075,418148,572668,-1,-1,-1,6367,-1,56371,630466,216309,119611,893562,778543,517474,-1,967444,683227,-1,962245,736086,-1,-1,-1,-1,916930,-1,780386,805680,234397,118922,-1,509381,-1,137970,631918,576741,251833,-1,-1,-1,-1,-1,21885,-1,581355,503739,-1,-1,223228,-1,948280,526683,120586,-1,-1,509565,-1,165575,-1,-1,-1,345082,-1,-1,843884,771268,745062,644220,589980,-1,-1,-1,-1,-1,-1,93651,-1,-1,-1,817567,933318,-1,-1,609454,-1,517134,-1,115751,923649,-1,933861,834378,828464,120930,-1,-1,-1,-1,-1,966900,-1,-1,-1,562278,-1,697722,-1,-1,-1,-1,566860,562544,-1,-1,786224,-1,190430,664887,88725,93204,95689,85854,-1,384046,246613,-1,-1,-1,268188,-1,-1,605928,874534,-1,112475,-1,259601,95048,721025,154974,758106,-1,-1,-1,-1,20000,955838,-1,-1,649080,-1,-1,28601,960160,-1,875064,-1,793466,-1,-1,131444,-1,736943,-1,-1,-1,-1,-1,625334,507741,168728,189159,469574,-1,-1,-1,543551,-1,654264,-1,586565,-1,-1,-1,566458,990633,-1,220429,430483,788996,-1,338161,284905,-1,844222,605171,-1,3866,-1,-1,-1,-1,-1,-1,710830,520477,-1,-1,-1,-1,-1,327178,418526,778229,637298,-1,955774,-1,556518,-1,925520,228939,-1,-1,799035,-1,-1,558883,691516,-1,-1,133141,723238,201279,278287,158901,-1,-1,544767,993480,-1,683836,552970,307466,609581,428410,249960,999900,-1,-1,610951,-1,-1,-1,-1,732696,43902,-1,630767,-1,-1,756576,-1,-1,-1,888707,590475,944455,-1,-1,206285,-1,-1,-1,-1,-1,694455,-1,-1,618135,809774,-1,-1,207279,621891,228812,757043,-1,237078,890441,160119,-1,-1,-1,417571,671021,67774,-1,-1,-1,-1,-1,967672,195085,-1,-1,-1,-1,440647,100083,359225,126858,920904,543572,-1,907795,-1,-1,-1,282666,662914,437953,-1,-1,-1,354147,168152,700132,-1,690666,-1,720015,34695,372507,79428,-1,366591,-1,-1,617621,-1,258090,757772,958795,246081,-1,784190,-1,-1,-1,32031,572078,990183,248955,-1,513865,-1,-1,-1,639295,-1,347561,586978,850518,186838,424562,736921,-1,788795,736579,-1,347602,238291,-1,814695,-1,855186,-1,-1,-1,964253,-1,68819,388776,-1,-1,-1,971135,-1,-1,-1,358516,450389,410099,642048,-1,418661,-1,-1,-1,268842,147066,286260,432250,246072,361307,-1,-1,-1,590180,-1,-1,-1,255655,166019,475515,-1,-1,848688,655191,397672,-1,994159,-1,-1,850409,-1,397606,-1,876824,522358,-1,873912,708145,345059,673552,532701,936917,-1,-1,-1,-1,-1,373146,-1,-1,-1,-1,-1,149937,731558,-1,881343,480667,972822,-1,-1,-1,544746,923517,-1,-1,280832,972877,842147,-1,-1,78984,-1,-1,340500,-1,694274,-1,290098,245994,-1,796465,960886,-1,446317,-1,-1,795844,987872,551593,-1,-1,-1,686110,428502,-1,804577,299976,-1,-1,-1,-1,-1,870479,915738,-1,565348,762852,-1,-1,331453,575269,-1,168050,829723,-1,-1,-1,-1,808966,800789,952543,473880,787937,799300,773643,-1,-1,352280,-1,474083,-1,358678,-1,-1,-1,958225,-1,970327,547827,461271,89114,-1,219211,-1,917909,412285,-1,729461,148973,-1,33869,-1,130356,107731,641845,227786,-1,-1,604903,-1,-1,-1,-1,422090,909094,-1,-1,-1,-1,-1,478960,158933,-1,857577,608393,923691,-1,-1,96729,-1,-1,-1,750038,19033,753204,-1,-1,-1,-1,96118,-1,967259,-1,-1,-1,-1,-1,-1,-1,340260,63337,579836,-1,249708,-1,617474,305196,-1,-1,-1,517330,-1,-1,-1,-1,-1,61311,365951,210162,-1,-1,10317,-1,-1,298214,-1,-1,126985,-1,-1,-1,676416,19736,266728,-1,-1,-1,-1,-1,-1,610,-1,-1,-1,825811,-1,-1,-1,200138,-1,-1,499764,579519,180645,627400,299663,-1,914127,-1,355287,-1,722928,128432,-1,-1,536150,225640,-1,969242,-1,-1,-1,-1,410239,-1,-1,-1,707320,672724,151002,-1,-1,-1,-1,806856,753674,485540,311528,-1,-1,-1,-1,43462,-1,960389,-1,-1,-1,485112,-1,697979,-1,418429,-1,820487,-1,-1,406241,-1,955019,-1,637434,438732,-1,-1,202553,-1,806109,-1,418455,772552,-1,-1,-1,-1,875351,818862,125409,890262,219547,-1,-1,677083,316206,-1,-1,-1,-1,-1,399299,374891,160967,-1,898169,270551,973261,217994,695993,976282,-1,-1,-1,711542,-1,411499,-1,-1,-1,-1,-1,745888,824609,-1,-1,-1,367062,728812,641657,367928,-1,982061,784611,-1,-1,586323,360338,544585,976129,-1,-1,-1,403165,209812,-1,-1,996881,-1,-1,26748,-1,512508,740021,663210,-1,492800,-1,69561,62048,972318,157428,-1,-1,87564,-1,-1,-1,-1,866306,-1,-1,-1,926101,-1,698848,214265,-1,-1,-1,-1,786664,224799,-1,150974,-1,46431,-1,245838,274153,640918,-1,932978,297504,-1,-1,423975,-1,44655,826686,459566,-1,960087,365346,-1,-1,-1,37991,-1,-1,537250,964811,-1,-1,114290,618739,77197,782163,-1,-1,492282,175012,-1,-1,-1,533619,-1,483034,613646,-1,225494,321648,-1,902506,482208,-1,-1,-1,-1,430762,-1,764780,-1,271584,-1,989517,375524,968451,571006,914726,304342,-1,751097,956057,-1,855453,-1,-1,-1,364605,956817,972258,132535,172607,20616,974889,310222,-1,594124,-1,-1,529485,228745,325391,-1,-1,-1,-1,676601,259280,-1,880905,-1,106152,-1,-1,248218,917559,875812,787795,585686,992223,-1,-1,-1,-1,924360,259945,-1,322836,-1,346418,-1,499723,971746,-1,-1,931223,-1,787774,-1,-1,684747,386,-1,378262,-1,-1,663963,594542,942352,458680,-1,-1,-1,608026,10166,-1,482528,-1,-1,660609,-1,50192,38446,-1,-1,-1,-1,-1,-1,325839,-1,-1,-1,-1,-1,-1,188792,-1,530541,676803,-1,110605,-1,-1,27056,-1,-1,910339,-1,-1,172128,926191,-1,312369,329733,-1,-1,-1,-1,73433,-1,-1,987576,-1,-1,-1,-1,-1,-1,107047,864759,-1,824418,-1,380052,-1,-1,228912,-1,846782,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,782588,431815,270049,246403,-1,857413,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,55841,118163,-1,171299,-1,-1,-1,650272,767075,-1,259957,499172,-1,-1,492653,639681,30797,235018,-1,512934,438491,229034,892930,208379,7484,338198,-1,-1,-1,757714,-1,-1,-1,899148,685912,302731,-1,703675,-1,-1,231297,-1,623820,-1,-1,441507,-1,-1,-1,-1,-1,-1,642650,-1,874830,-1,502891,-1,-1,349431,105372,938297,-1,-1,-1,69891,991475,35648,146637,405347,253779,382647,-1,595102,941761,-1,-1,801166,527795,874234,452339,687707,759211,303353,-1,854667,244567,-1,477812,728146,193857,183807,-1,-1,963745,758792,-1,-1,410545,746200,-1,-1,410228,-1,-1,-1,569546,66025,703713,-1,-1,806003,357184,-1,296114,514386,833383,-1,-1,878569,834599,-1,183717,-1,-1,195034,615819,-1,-1,-1,-1,-1,905051,6308,-1,548030,370767,840679,-1,923198,104342,-1,-1,-1,830623,-1,91007,91647,-1,-1,-1,295406,364703,343688,-1,-1,145259,-1,-1,-1,847989,-1,-1,-1,-1,796284,974458,-1,-1,625781,545833,-1,778217,-1,-1,-1,-1,-1,812618,257454,573940,-1,-1,-1,-1,18792,-1,141038,-1,-1,-1,-1,-1,-1,626644,-1,113128,-1,-1,-1,482777,931867,931025,588800,-1,-1,150360,-1,-1,530456,457215,-1,-1,-1,115628,-1,88137,735246,-1,-1,253235,-1,398838,-1,-1,288524,371462,-1,867614,346128,203462,523161,-1,-1,-1,47685,-1,333046,574701,-1,166945,-1,831492,-1,845472,367790,-1,475076,292415,-1,177233,499180,321162,61480,-1,270452,-1,-1,-1,395386,-1,430518,259935,-1,991282,-1,-1,422563,935327,-1,686031,-1,918599,319276,937060,-1,733070,-1,830654,-1,993902,479918,-1,383815,948017,-1,2904,-1,804923,150240,661752,56005,-1,297248,774620,-1,-1,225151,880849,140515,844330,-1,641160,225735,-1,-1,-1,416074,-1,198898,504221,490860,826238,-1,-1,947202,881081,248947,-1,-1,-1,391706,29548,-1,-1,-1,306296,907139,-1,-1,-1,794902,-1,-1,234581,-1,-1,246652,160048,213313,-1,213881,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,38623,760139,-1,-1,267418,495746,461164,-1,-1,-1,725056,-1,-1,-1,-1,-1,261290,-1,-1,-1,-1,185129,-1,-1,-1,-1,828547,8289,-1,120392,504006,754143,-1,485005,-1,210106,146656,642122,264320,384345,-1,220956,870885,-1,-1,673950,62312,237612,336763,823198,-1,960938,138168,979813,-1,195804,-1,-1,-1,46353,646215,265998,433933,368714,844470,873843,641503,663700,590931,979807,-1,890580,-1,516249,-1,-1,-1,-1,-1,-1,-1,-1,-1,101981,-1,-1,276721,-1,-1,430612,640431,-1,628985,377156,822858,-1,380860,-1,-1,668927,373097,923308,-1,-1,420632,489303,-1,-1,497935,114466,919856,-1,-1,-1,802861,-1,-1,637267,-1,-1,-1,525279,-1,348288,317567,621111,358025,-1,-1,254101,-1,-1,528603,-1,-1,-1,-1,-1,-1,242971,851164,25787,-1,-1,88795,298861,78887,615628,-1,982962,-1,-1,-1,-1,675088,-1,-1,853054,-1,-1,-1,638435,-1,-1,-1,404106,716369,254296,646126,561215,746040,-1,503432,-1,-1,306911,-1,402061,-1,810746,975203,739251,-1,-1,440852,691783,365366,767955,-1,518320,680699,-1,-1,586501,-1,296825,477120,537925,-1,-1,973477,-1,588426,-1,461143,933935,-1,530516,368288,906867,-1,194623,308672,952583,-1,113973,453272,513004,708856,-1,-1,187770,305227,391576,646812,673052,-1,692590,903111,340986,-1,528650,-1,-1,-1,-1,-1,989471,733782,550836,683847,105900,69459,-1,948560,-1,-1,24980,-1,686430,-1,244156,-1,702638,-1,532818,321595,489408,164651,-1,-1,-1,387917,382691,-1,395655,968613,-1,543787,376024,-1,-1,-1,-1,547474,287494,-1,-1,-1,430598,-1,573150,-1,270277,743882,353243,706351,-1,-1,644134,646953,-1,-1,-1,-1,980030,24407,11327,703841,901752,-1,-1,-1,-1,188515,303776,598232,431818,58393,678602,793726,176193,-1,-1,413915,-1,468963,-1,439826,-1,166499,-1,786407,-1,-1,443875,-1,815518,522535,850083,-1,-1,-1,634395,-1,528811,-1,529541,-1,-1,-1,554063,110088,637902,-1,-1,285453,351014,223954,-1,-1,870578,-1,-1,-1,-1,-1,146674,931877,-1,-1,548757,-1,650735,-1,-1,725694,-1,768368,590992,306169,911923,-1,189406,-1,378986,104990,-1,299948,-1,-1,587356,-1,-1,862383,501411,-1,-1,607748,-1,719906,655484,728746,-1,-1,-1,-1,-1,-1,-1,970680,473199,-1,-1,-1,671701,-1,669361,-1,979880,-1,755523,866323,-1,547936,120866,703632,927967,741716,597231,-1,229972,-1,-1,751004,-1,110264,-1,770917,-1,-1,-1,-1,-1,-1,-1,278680,232574,515988,363967,828668,998522,189773,494583,28324,469547,646142,-1,-1,-1,799408,702799,440304,261843,-1,-1,388114,-1,885809,-1,67014,-1,-1,-1,695300,-1,997156,778553,813402,-1,40788,-1,-1,-1,977762,-1,-1,164370,-1,718064,-1,587782,820587,962470,-1,654855,-1,-1,-1,-1,898783,227671,724537,-1,360,134428,537130,54765,-1,-1,729906,-1,887285,877986,596625,-1,-1,124996,-1,-1,-1,-1,202103,-1,554740,-1,407868,75501,749411,484134,-1,-1,540985,891026,474160,720155,-1,502126,-1,-1,62630,-1,-1,178819,-1,992224,352421,-1,-1,550910,-1,-1,-1,989652,-1,-1,190615,-1,515492,-1,-1,-1,-1,-1,303854,-1,-1,985672,688110,851016,-1,859635,71357,-1,-1,-1,13227,476994,99485,551918,311263,-1,839956,-1,508777,-1,339657,-1,-1,679814,-1,716669,-1,-1,-1,883851,-1,136813,-1,38401,905974,-1,107002,-1,244981,-1,-1,-1,719387,367130,-1,-1,187252,-1,779183,8673,417316,974752,-1,277530,914978,-1,-1,966100,-1,-1,244302,-1,-1,926243,-1,834185,-1,-1,-1,644729,715374,-1,714355,210417,174017,478785,-1,156288,-1,-1,368051,-1,-1,980529,89079,429587,-1,890485,-1,98694,183276,303569,-1,-1,805854,347487,-1,672385,-1,-1,-1,98095,524599,464984,828722,882692,88289,791110,-1,-1,463941,-1,-1,-1,682459,-1,898139,-1,808856,-1,203760,838101,899979,-1,443060,-1,-1,-1,546052,766702,-1,451208,935996,730961,-1,174618,-1,250801,-1,-1,-1,731326,420640,-1,823974,597286,388687,-1,-1,-1,-1,-1,471108,517095,-1,-1,281622,-1,-1,525959,308669,988440,533401,-1,131600,836772,639030,-1,894865,997722,236327,405006,-1,99741,-1,605165,382255,493434,-1,-1,746096,-1,444739,-1,-1,-1,-1,760795,33477,-1,816953,193354,-1,553154,-1,-1,-1,-1,-1,20963,730076,731324,179200,-1,-1,923826,67621,-1,-1,-1,149898,835767,-1,611166,754195,-1,654516,248142,-1,-1,36491,880279,-1,-1,-1,308354,14449,-1,-1,-1,-1,-1,971205,822854,-1,-1,371553,-1,-1,241334,281111,-1,-1,-1,947635,505209,752457,641542,-1,-1,875542,794010,946649,938510,658696,-1,-1,-1,-1,-1,202550,-1,663305,-1,-1,-1,-1,-1,-1,964525,-1,210237,755063,-1,966036,628486,525337,155946,-1,132427,417803,-1,386193,-1,-1,-1,991154,-1,67867,-1,89879,813433,56436,-1,-1,-1,-1,573561,-1,-1,-1,-1,-1,951401,791726,494876,882866,-1,805483,661561,-1,718713,887444,-1,645362,-1,156694,691882,-1,-1,784206,676918,242278,-1,287552,-1,-1,132505,-1,433121,63911,-1,-1,-1,695227,-1,491395,671480,-1,-1,-1,-1,625183,876027,389684,-1,738807,267267,-1,-1,648480,537005,95585,143698,880798,960566,-1,-1,352470,-1,-1,-1,-1,-1,-1,-1,-1,998652,484780,-1,266095,351552,117165,-1,470968,778470,147209,901925,403965,337628,-1,-1,691698,-1,283230,306295,-1,-1,-1,-1,-1,510347,-1,-1,692696,-1,269099,-1,258896,104382,-1,189785,796070,612751,684550,-1,-1,825927,259998,-1,-1,-1,773524,373956,342015,-1,-1,-1,758237,928772,205322,-1,-1,652452,532642,-1,803229,-1,787986,-1,303162,329259,-1,-1,-1,984864,819443,-1,-1,-1,-1,864526,-1,-1,653339,-1,-1,477842,966846,612290,-1,-1,-1,-1,778441,725107,375287,-1,810211,-1,-1,951242,-1,773341,553763,-1,-1,-1,321599,-1,-1,635246,544997,821690,333782,437538,-1,-1,-1,-1,-1,653290,-1,959925,-1,928295,-1,280996,88032,942220,-1,605370,-1,-1,840141,824927,912077,-1,324540,-1,672483,438669,240126,-1,919644,-1,91304,-1,882230,-1,-1,699933,-1,758595,-1,-1,-1,-1,321437,536954,946507,864199,183865,750022,982351,528582,408659,593230,230741,-1,-1,-1,243438,548836,-1,-1,-1,809201,-1,634766,-1,312859,376130,806428,696341,-1,-1,-1,-1,738042,24373,879663,261953,562062,-1,-1,909107,-1,390040,372767,796508,-1,309644,-1,-1,-1,-1,331352,242198,-1,-1,689799,833621,-1,731426,-1,-1,580427,267654,-1,-1,-1,584889,-1,890814,781775,-1,385401,-1,-1,971491,-1,-1,-1,482885,-1,-1,538022,-1,-1,-1,-1,-1,712684,-1,-1,902246,138695,-1,240998,593287,-1,-1,-1,324212,-1,758805,-1,-1,-1,-1,482711,608080,976508,968270,250331,581568,-1,-1,689317,639975,-1,-1,997115,707955,219619,245136,-1,478354,-1,-1,-1,440063,-1,290631,-1,296347,864129,-1,152888,879335,633668,-1,684859,-1,-1,657021,-1,-1,846298,-1,-1,-1,-1,-1,-1,-1,800440,651276,-1,691234,793972,-1,245065,-1,2827,293868,792558,819152,819427,877479,-1,-1,-1,531739,374020,-1,448566,-1,706047,13574,-1,-1,790400,-1,534412,567937,-1,910131,132072,590942,-1,-1,-1,-1,-1,-1,213765,-1,-1,-1,-1,601951,843183,987088,-1,785778,164608,-1,399975,264046,332142,654349,-1,-1,977712,422046,-1,111633,-1,246192,171529,-1,895409,781623,901500,-1,711880,-1,-1,-1,-1,447754,-1,142076,415202,212326,-1,-1,-1,-1,286774,-1,4093,648495,-1,224520,666657,259819,-1,-1,-1,667041,316249,426988,-1,453478,-1,93851,607883,699438,-1,-1,-1,462125,709929,-1,-1,852409,683007,-1,-1,-1,509748,-1,-1,588944,183133,413830,371786,846451,-1,-1,-1,291578,160390,-1,-1,517020,977188,682821,125614,771870,491189,-1,-1,-1,-1,122441,-1,-1,-1,-1,-1,-1,526793,-1,-1,-1,681217,-1,257048,548523,786829,658852,325326,-1,-1,-1,-1,-1,-1,884869,581393,-1,143103,429662,-1,472485,-1,-1,853646,-1,74849,62473,873798,-1,96355,-1,-1,809695,-1,853625,-1,-1,626772,-1,-1,-1,753715,289693,-1,-1,501113,115921,824170,-1,-1,213625,672094,-1,348913,-1,-1,-1,826890,-1,-1,699950,103572,471071,-1,820344,521062,670075,-1,-1,560830,-1,-1,133246,601074,524491,340277,-1,46643,-1,89057,734661,110989,-1,952250,-1,89653,-1,60977,97283,-1,33485,-1,86692,868731,924187,458347,104946,372395,-1,90076,630068,271010,464326,140699,942776,788560,-1,-1,360982,962909,186967,901952,-1,-1,617533,473403,717759,-1,505129,-1,-1,-1,-1,535881,-1,414096,-1,-1,-1,-1,-1,531853,566296,-1,-1,10148,-1,859506,830393,-1,358288,337150,278258,-1,-1,-1,-1,-1,378171,-1,-1,335549,-1,-1,-1,943758,65833,15687,490354,179989,234816,751481,-1,576787,536151,-1,501937,628632,516808,-1,284997,-1,104126,559166,-1,-1,-1,597015,876322,-1,667811,-1,-1,383077,-1,312658,-1,757147,5570,25744,493865,367833,-1,617844,930359,979110,867408,281564,-1,765128,-1,727562,303492,676794,-1,-1,301067,-1,247229,15957,483946,-1,-1,408988,-1,-1,-1,-1,545131,115161,929419,963759,221674,-1,427578,658472,763719,-1,435709,-1,361826,-1,-1,796114,913391,437734,-1,390613,273565,25676,13458,125172,694650,42885,-1,-1,-1,128100,-1,-1,-1,-1,74805,-1,-1,154593,547505,186063,38597,476271,230127,484568,950992,274836,142147,-1,821323,-1,-1,-1,389977,351576,432951,762451,-1,375712,44940,-1,-1,265890,-1,377533,742375,84265,-1,-1,352241,-1,-1,856421,-1,960693,923742,45697,60278,743045,-1,736532,141616,219710,-1,510899,360609,230091,-1,-1,-1,-1,-1,-1,-1,210524,49518,-1,-1,-1,-1,-1,478112,-1,-1,-1,-1,-1,607600,-1,369090,555554,217962,25588,253696,869907,-1,591549,-1,-1,-1,857684,-1,-1,368385,656954,-1,425121,418498,476896,97554,829128,370182,-1,-1,-1,-1,-1,-1,702314,-1,-1,37630,-1,-1,-1,-1,686720,-1,-1,986626,867023,-1,-1,273414,485680,73633,918998,715966,-1,-1,578749,937373,72931,-1,333273,-1,558024,-1,428099,30943,51532,973118,-1,453130,576137,-1,-1,809194,-1,561652,231509,-1,548245,279282,-1,287802,-1,494981,-1,-1,805930,-1,541230,-1,127174,-1,-1,285795,919977,-1,594451,872806,151193,-1,881045,-1,-1,530427,-1,786895,595961,-1,-1,686072,-1,-1,-1,12928,-1,751230,-1,-1,-1,557904,-1,493649,943567,-1,560251,-1,-1,-1,-1,-1,690676,535531,338123,676498,629753,895165,-1,285958,-1,-1,-1,497384,-1,747756,91408,-1,-1,-1,-1,-1,-1,708624,800519,-1,-1,-1,477003,1474,74669,-1,-1,167038,152505,-1,-1,626865,428790,764470,615276,313792,-1,-1,-1,47379,-1,89158,534577,-1,168584,36003,-1,675741,535779,-1,6464,855556,-1,-1,-1,258230,482683,-1,526069,-1,-1,-1,355446,-1,543717,401444,-1,437865,-1,-1,769631,-1,631604,178649,555428,572180,599332,426089,329776,-1,66320,433611,-1,-1,447746,-1,-1,526404,560517,-1,49563,-1,-1,346414,-1,-1,743908,774322,296380,506628,-1,-1,220579,758411,-1,-1,-1,-1,62950,189206,-1,-1,813386,464125,-1,993185,988916,-1,-1,219297,-1,-1,284321,-1,-1,-1,523973,48072,-1,835020,-1,-1,-1,332488,-1,-1,-1,204794,206996,-1,-1,-1,-1,766373,997259,402829,763689,383206,989011,691835,57050,-1,-1,-1,950065,139186,42196,863527,639462,125990,-1,-1,723145,-1,788836,-1,920341,-1,430280,-1,-1,-1,-1,-1,-1,-1,147031,436804,799368,645827,-1,184633,984327,503337,271820,-1,-1,-1,-1,-1,-1,-1,-1,828956,954730,656067,-1,137138,892288,444412,-1,416889,161448,-1,542783,11878,-1,-1,416941,358858,739654,-1,118972,-1,56698,-1,937488,694734,-1,-1,-1,240597,319437,883144,273973,231406,-1,505924,-1,701280,338575,-1,250414,-1,-1,-1,330995,815368,999247,190694,565377,-1,-1,-1,623929,452375,-1,703870,-1,822406,552597,236214,-1,791402,-1,394350,-1,-1,-1,-1,-1,-1,125338,836692,974259,528758,-1,-1,-1,506914,966817,416214,337945,195313,466737,-1,525903,-1,615804,-1,-1,307179,-1,-1,931351,-1,576088,214844,610017,-1,-1,-1,116178,735254,-1,-1,455822,958683,-1,-1,-1,824364,-1,-1,190982,987595,-1,-1,-1,-1,241221,-1,-1,150475,810985,47003,989315,-1,274754,493762,296705,64,-1,-1,794200,-1,43286,510459,-1,-1,336309,-1,-1,550002,-1,997833,367646,594585,885563,-1,-1,-1,805544,-1,218338,31618,-1,-1,229326,494047,99400,-1,-1,-1,-1,669655,151377,948124,500214,-1,-1,-1,550500,299498,-1,-1,261008,-1,5795,-1,-1,-1,-1,7131,548834,960625,41425,259550,830715,-1,586337,-1,-1,-1,258831,647826,533381,283204,-1,639055,-1,-1,606556,-1,301189,616475,154920,207678,672263,822666,-1,-1,992667,849586,-1,691088,-1,193825,748618,768004,651018,-1,489630,-1,-1,361879,-1,949495,-1,301105,-1,677408,-1,119385,-1,-1,-1,-1,-1,-1,154860,-1,301434,822002,59702,843795,-1,83568,122413,972375,-1,-1,749333,-1,-1,293280,-1,-1,-1,-1,803717,-1,-1,-1,713274,350550,-1,-1,1186,-1,901839,-1,291844,810316,-1,-1,485188,-1,-1,-1,-1,-1,-1,579218,147426,-1,369065,54583,-1,-1,-1,422009,469703,-1,-1,200315,100421,515460,-1,-1,192549,-1,-1,810682,-1,634565,-1,-1,-1,364327,821546,538321,666993,136039,209071,352182,139252,-1,-1,-1,218082,860561,-1,46333,778451,-1,308409,651523,-1,681630,-1,916328,311469,-1,308395,-1,-1,94559,-1,240177,-1,468032,-1,-1,175582,-1,-1,-1,-1,-1,-1,738491,854958,-1,-1,-1,204190,820223,375475,-1,-1,-1,907817,607591,-1,-1,290482,952568,838223,-1,329216,434866,190200,30638,-1,-1,-1,-1,278631,-1,956013,831741,-1,-1,205819,103515,-1,537703,277958,-1,296212,22946,128088,-1,463534,-1,-1,648011,25380,-1,-1,716126,-1,-1,-1,903764,-1,396474,469406,-1,-1,-1,-1,-1,-1,-1,898091,-1,933212,270157,-1,512356,957795,-1,893385,-1,-1,-1,-1,576130,-1,342869,279623,-1,-1,-1,-1,464290,305572,-1,633344,-1,611455,901802,32470,-1,-1,-1,956050,-1,-1,635101,-1,609588,-1,831416,-1,461542,931647,14292,475534,13805,-1,-1,38530,-1,851244,-1,247640,92830,-1,625372,378420,-1,333494,-1,388201,-1,-1,146778,924795,-1,-1,63986,89811,828489,415165,272275,347267,-1,720208,-1,545802,488220,-1,554952,919356,-1,-1,183914,-1,-1,391646,-1,-1,-1,965630,449257,805779,-1,-1,-1,343300,702699,-1,-1,415809,453209,76067,130388,636017,437647,411976,-1,-1,-1,496078,-1,-1,-1,554807,512947,-1,-1,284726,395243,360996,-1,97539,-1,-1,445481,-1,-1,867013,-1,990213,-1,809049,741585,755647,312601,-1,815579,-1,-1,57810,-1,-1,-1,444476,706846,294956,523663,9978,784996,-1,548300,-1,-1,-1,-1,826141,-1,-1,-1,-1,-1,462024,-1,864870,654101,167459,-1,875567,-1,182616,503328,446329,-1,-1,-1,-1,-1,170324,899509,-1,-1,188009,672559,151686,439666,190021,-1,55369,7130,-1,616217,342556,208524,-1,-1,396594,397089,357969,-1,738053,-1,-1,-1,33907,242210,899845,451861,-1,-1,803218,912678,-1,-1,-1,-1,-1,658832,110099,-1,329419,976844,56570,-1,719801,-1,-1,422923,-1,114432,-1,283141,987972,46460,-1,-1,-1,298405,55167,226475,291479,759445,894751,-1,-1,165237,-1,-1,-1,436412,847930,-1,524095,-1,904471,963793,-1,-1,648006,929126,100939,272432,967745,-1,952228,912543,-1,-1,945789,-1,-1,70980,-1,753905,661367,-1,-1,-1,-1,-1,558271,-1,248294,963935,-1,-1,-1,-1,-1,603103,377826,586763,419756,116731,168758,579499,655289,-1,870952,-1,80536,-1,-1,-1,-1,577046,490163,-1,849051,585646,999824,363973,-1,-1,-1,871169,987880,905453,-1,82430,208156,351918,-1,436064,394139,-1,-1,-1,-1,218185,688581,-1,560897,-1,-1,-1,213239,270559,319091,-1,902568,-1,707711,367702,809900,779417,-1,561023,-1,-1,-1,-1,22833,433668,676058,418015,-1,-1,-1,-1,-1,-1,-1,602674,-1,-1,-1,-1,-1,-1,615806,-1,693872,-1,101903,117926,409301,337401,-1,647417,895786,-1,539086,-1,487935,796772,425023,751740,287691,-1,-1,794046,432237,736822,-1,411477,-1,650997,642353,-1,429419,499210,966819,176308,-1,275564,-1,203705,175930,-1,-1,-1,973338,911691,374435,306383,68587,879942,347232,337021,-1,-1,-1,-1,-1,-1,761147,769663,-1,-1,-1,-1,796144,-1,598672,-1,654045,295352,-1,-1,514342,121249,946772,360387,765726,-1,-1,526830,-1,852541,-1,104415,787396,679247,-1,-1,186881,347209,-1,-1,733768,-1,726668,-1,275179,-1,22391,-1,-1,483557,2057,583456,-1,-1,944807,355045,-1,280196,-1,-1,947205,-1,960451,198864,-1,-1,-1,349512,514657,-1,-1,488395,-1,-1,-1,242561,-1,-1,-1,-1,-1,-1,908513,-1,489670,86119,41184,-1,549197,8487,519792,357779,-1,249119,-1,-1,117348,674162,-1,-1,177913,213086,-1,-1,-1,793871,-1,483358,198562,473952,-1,841901,-1,410946,540125,575627,-1,254527,-1,486833,-1,577084,-1,-1,-1,887978,341298,259964,856512,555942,244331,397259,-1,95712,-1,-1,-1,-1,608660,-1,292566,-1,337043,-1,664501,-1,571511,-1,45377,481219,-1,-1,-1,-1,132589,-1,619334,116103,169971,-1,70010,194723,267303,-1,-1,437492,-1,606474,-1,27704,717441,527456,728181,-1,-1,-1,138159,-1,43463,-1,-1,-1,344827,728589,371647,-1,411150,447915,-1,-1,343303,-1,-1,806996,-1,-1,500328,-1,-1,-1,382868,-1,350568,434214,873801,-1,801911,56730,799430,72110,-1,371572,639100,303771,921680,-1,126017,-1,-1,549261,610639,433252,212446,-1,340539,-1,-1,470766,-1,60404,87089,915284,44264,20941,-1,-1,-1,75726,809316,93674,757630,922692,520751,-1,169553,879941,-1,-1,521601,829757,657897,168189,-1,-1,-1,959560,746953,-1,-1,39672,-1,423999,-1,-1,-1,-1,327179,-1,465325,670483,-1,448245,299847,-1,-1,-1,823686,-1,-1,158974,272386,359354,-1,-1,554519,623825,63160,465437,-1,-1,918867,96092,34225,198214,425159,-1,766247,-1,871658,-1,-1,-1,-1,-1,-1,284206,-1,841797,-1,-1,307439,979786,-1,651922,630502,260214,-1,-1,126051,-1,-1,-1,289163,-1,-1,835443,-1,255912,-1,905225,156242,627160,-1,362576,371559,-1,253031,375842,-1,895297,-1,869695,-1,-1,501008,924042,686857,-1,-1,515228,207618,254908,-1,-1,25231,286629,-1,-1,-1,-1,-1,-1,471804,-1,-1,72941,849219,-1,159769,-1,-1,91502,713333,57860,-1,-1,502382,324432,-1,-1,-1,-1,-1,-1,-1,607673,-1,-1,-1,253659,853789,601205,213188,-1,963582,780544,-1,236916,956453,-1,11119,402628,-1,482839,-1,-1,-1,672533,278011,-1,-1,-1,-1,-1,176942,-1,-1,-1,804843,-1,973372,462603,-1,-1,-1,-1,-1,406886,-1,611603,-1,77294,-1,212043,-1,18392,83897,458086,-1,-1,-1,589822,-1,-1,151576,-1,424209,-1,698050,-1,-1,-1,914683,-1,-1,622064,739133,78089,-1,431334,-1,-1,983109,-1,843068,-1,438237,727775,-1,-1,191618,197254,-1,69085,-1,-1,-1,-1,273512,-1,-1,412256,-1,605858,579553,-1,609380,68766,-1,-1,578859,694440,-1,-1,-1,848782,566689,935446,545004,-1,563485,943715,-1,342324,-1,-1,497618,394113,722705,-1,-1,922012,-1,-1,499522,-1,483576,-1,-1,-1,-1,-1,701850,-1,-1,-1,-1,753208,-1,-1,983706,652229,293300,-1,658219,336808,418580,-1,-1,871087,176668,49333,-1,-1,-1,891926,-1,-1,-1,146714,-1,873694,-1,-1,-1,677394,103307,-1,602612,-1,-1,587511,655445,-1,685536,-1,242462,-1,865078,-1,946630,464103,196370,173729,589025,-1,172069,996393,-1,63429,486649,-1,763179,-1,-1,-1,-1,-1,300420,760141,-1,94270,-1,664273,-1,15460,-1,273082,738152,-1,-1,606255,389057,104854,870978,-1,6431,954336,957283,-1,-1,-1,-1,464852,-1,-1,-1,193943,22538,-1,-1,-1,608348,98443,173433,-1,338494,-1,-1,-1,154820,19142,-1,121187,226081,-1,185289,-1,-1,-1,98961,882157,-1,-1,-1,-1,929302,-1,485460,-1,501481,772894,-1,472721,37328,-1,793769,474105,268777,-1,447664,-1,491875,-1,-1,395137,171965,117174,-1,581556,18842,336250,928250,710693,-1,-1,652897,-1,649633,-1,-1,809120,614831,866079,707365,-1,938536,-1,973285,-1,314061,-1,-1,-1,-1,-1,-1,626307,-1,312996,-1,-1,-1,26771,707966,519663,394723,-1,465027,750834,-1,232468,-1,-1,83874,-1,464830,379118,-1,748298,-1,922814,-1,180056,739368,469896,-1,-1,-1,-1,457453,589946,-1,256282,-1,-1,-1,-1,393063,-1,-1,57368,151033,553059,635245,-1,405877,-1,-1,497539,-1,286900,485181,-1,-1,-1,950102,-1,-1,759034,-1,457311,-1,-1,721392,-1,564195,149374,-1,218074,683303,385213,-1,891032,414863,-1,-1,-1,-1,-1,79187,-1,-1,539229,379240,-1,414710,641441,-1,-1,847258,552725,-1,-1,-1,-1,-1,-1,-1,-1,582009,-1,338241,-1,-1,-1,751161,119839,205974,784834,-1,-1,-1,-1,910231,-1,148879,-1,721916,46298,-1,-1,873047,105000,769465,689978,335856,42912,-1,-1,928899,-1,-1,-1,-1,621284,-1,-1,511448,873162,-1,857276,-1,659372,481771,-1,359004,629731,527195,840803,-1,950843,-1,372012,-1,-1,714757,226567,633847,-1,-1,604493,888942,974539,-1,-1,235545,-1,-1,477957,22807,-1,-1,749542,-1,-1,602765,565847,878497,-1,851811,151571,564078,-1,-1,-1,-1,169922,-1,-1,-1,964167,-1,257579,107827,-1,-1,722265,-1,-1,-1,-1,692134,-1,14766,-1,-1,-1,-1,301800,-1,-1,379474,-1,409452,45341,229484,977922,-1,-1,-1,137815,393439,695962,511607,608113,-1,857045,653264,52788,570443,790845,-1,-1,26687,-1,413925,654954,-1,-1,-1,426038,-1,451272,-1,539423,-1,-1,-1,-1,793874,-1,-1,-1,-1,-1,-1,-1,559983,333842,-1,693974,523485,819132,-1,-1,-1,710224,213787,-1,188621,-1,-1,210620,624213,-1,568557,-1,634262,-1,875137,-1,737446,31940,614871,310902,-1,262090,131676,-1,-1,51860,895866,14456,997724,-1,625944,-1,-1,-1,-1,858843,-1,602561,-1,993576,642664,722137,563477,-1,127024,-1,-1,-1,-1,-1,-1,322875,-1,-1,837994,59022,-1,150232,-1,-1,759506,77574,828102,170981,-1,-1,179317,592685,365887,-1,-1,794743,-1,-1,-1,685162,-1,-1,870637,-1,707248,-1,-1,-1,924510,775820,986903,503378,593820,-1,-1,-1,-1,-1,-1,-1,296609,-1,-1,-1,313667,-1,768718,807864,3838,-1,622481,280746,321321,-1,488010,-1,690678,827225,428940,-1,-1,538779,-1,479656,558088,780610,922734,238413,-1,562102,-1,617286,932215,332594,-1,-1,879037,901704,703432,271645,240989,529019,-1,-1,-1,-1,103206,-1,45218,736221,-1,566633,-1,-1,403611,-1,396380,258793,-1,161426,703665,-1,259333,-1,522786,-1,-1,-1,-1,-1,-1,-1,-1,-1,749245,-1,572728,-1,708053,473715,-1,-1,-1,429921,-1,474575,548524,748381,22082,-1,234190,186099,494764,-1,-1,174574,81401,-1,167393,-1,-1,472992,-1,-1,989084,-1,620276,-1,-1,-1,378965,-1,313022,369843,-1,867992,497162,-1,-1,26118,452303,119995,-1,660544,447109,49709,-1,-1,675814,-1,718184,518809,-1,-1,-1,-1,190449,887168,873234,36541,210857,844859,-1,-1,908792,-1,-1,746978,686167,-1,417814,-1,-1,-1,-1,678369,-1,123196,138881,885620,-1,-1,708283,149036,-1,964382,-1,-1,-1,-1,875480,-1,628637,-1,-1,671780,28819,-1,-1,899885,92533,-1,-1,-1,512797,24164,-1,-1,-1,-1,758422,-1,959819,-1,716429,-1,633035,-1,-1,190497,-1,186970,568183,-1,567093,-1,-1,-1,-1,60092,728385,-1,-1,-1,-1,354602,-1,307860,548488,58607,657792,231148,454977,984749,99555,-1,982534,-1,290117,-1,-1,-1,-1,475067,-1,266453,-1,-1,-1,991315,-1,952832,-1,-1,284223,-1,292057,-1,798608,-1,-1,-1,-1,550724,791628,-1,231572,243251,-1,-1,874734,393542,359586,712056,-1,-1,88608,-1,745931,673796,-1,-1,-1,-1,-1,997377,91997,642054,-1,-1,554214,-1,383775,696111,414314,571465,-1,658932,-1,-1,-1,-1,-1,978313,-1,359193,743108,-1,669210,58777,77658,-1,-1,-1,-1,870257,-1,265292,-1,991723,-1,-1,977992,-1,-1,557609,-1,-1,-1,90050,269150,-1,-1,988915,552747,-1,467670,-1,839979,-1,151087,-1,-1,-1,57825,-1,295519,-1,934720,365197,779067,-1,662429,-1,-1,473897,-1,410766,790274,-1,51897,216247,-1,811966,604418,362027,854790,142131,-1,-1,-1,124832,-1,-1,808917,-1,635423,-1,232769,-1,971888,-1,157109,8876,104217,-1,-1,-1,-1,91366,379144,-1,192543,-1,-1,-1,-1,951859,-1,659746,11035,-1,762970,-1,3084,600443,7875,-1,626232,-1,288641,-1,-1,-1,160478,-1,-1,996255,530848,841800,424277,901129,6090,877450,-1,-1,468958,932893,-1,204582,-1,-1,-1,601132,-1,-1,-1,-1,17589,-1,849978,-1,169714,931912,-1,538872,-1,-1,284963,884915,-1,-1,125076,882809,503703,-1,-1,-1,955366,235200,-1,-1,-1,87495,-1,-1,-1,-1,501136,276388,-1,-1,476634,-1,-1,524023,86455,-1,133154,-1,-1,972445,511165,-1,-1,-1,7854,52904,48188,-1,299475,-1,-1,359798,-1,-1,-1,-1,486793,-1,-1,314360,-1,-1,-1,232240,-1,-1,-1,-1,-1,-1,-1,150140,-1,721352,91649,-1,242596,-1,258119,205271,-1,-1,-1,-1,226549,-1,-1,439153,-1,683875,-1,-1,-1,-1,-1,885247,-1,-1,-1,-1,-1,597223,-1,202824,-1,-1,347163,455316,177576,54480,-1,301055,734511,-1,-1,-1,-1,-1,-1,743807,-1,-1,908008,-1,77879,-1,125650,363541,266527,-1,-1,602946,-1,217792,114740,57365,-1,736821,776008,-1,-1,974110,337859,-1,-1,-1,-1,547138,-1,324025,547217,73164,-1,168942,-1,-1,852219,-1,-1,-1,-1,-1,862031,-1,8781,-1,778013,536411,98020,61840,971959,830783,50520,-1,938658,746462,-1,376550,650879,-1,-1,-1,690240,-1,-1,253856,-1,-1,-1,625282,82113,-1,369704,-1,-1,-1,-1,-1,-1,135444,568038,-1,822149,-1,388657,-1,935138,-1,338299,-1,681299,462566,532196,653281,134356,95631,-1,-1,902733,-1,-1,599383,-1,-1,-1,461628,368120,699333,-1,-1,274914,-1,208253,965126,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,952999,26499,379963,780911,427954,-1,-1,-1,926895,391232,-1,-1,613036,60145,656151,826822,-1,-1,509129,-1,-1,-1,293804,-1,681548,274202,-1,526677,-1,253482,-1,-1,449389,197818,345225,527776,-1,-1,716704,654919,176584,964814,778822,911664,-1,722813,973305,-1,93600,974249,811437,919661,-1,805433,-1,-1,-1,661604,-1,21527,928614,-1,-1,677323,-1,387822,699211,258075,211969,283831,464302,-1,998330,233057,-1,847910,427240,614372,91252,795875,180258,-1,-1,-1,-1,-1,638309,200984,-1,515763,579039,-1,-1,-1,-1,-1,652127,-1,866039,-1,285142,-1,-1,-1,-1,-1,-1,-1,117838,-1,501710,103549,820067,-1,988580,-1,570926,-1,-1,-1,947480,194749,775730,-1,733867,-1,-1,272620,-1,-1,66662,31998,333506,375227,-1,-1,-1,-1,-1,-1,139111,144689,-1,-1,-1,612157,194498,13462,291249,750080,-1,-1,294595,-1,351188,228578,-1,555559,-1,565141,817124,-1,988466,-1,524040,-1,448499,-1,145064,-1,466279,-1,-1,571023,463575,-1,-1,380461,130618,212209,685953,-1,-1,-1,-1,-1,-1,967659,128028,-1,386528,-1,-1,-1,-1,630379,-1,-1,218963,-1,-1,-1,-1,-1,179009,355355,-1,821212,-1,781800,262021,623883,-1,36094,-1,-1,883592,-1,163736,126540,591661,702935,-1,679156,704619,641922,-1,608523,-1,-1,789566,229628,-1,-1,92369,-1,-1,689309,350609,124045,-1,310457,211809,-1,480810,824021,490126,660111,-1,-1,710808,-1,108923,466234,-1,510941,340315,834481,836969,905295,-1,989830,-1,-1,-1,789486,801290,40395,716915,958006,453634,-1,83262,656249,-1,963786,-1,309794,-1,-1,-1,-1,912682,-1,-1,645153,-1,498037,380121,-1,-1,-1,775580,-1,614774,862917,164475,332631,-1,-1,-1,-1,-1,730123,508053,541855,-1,384428,426204,-1,533324,-1,-1,730152,404203,272850,-1,785557,374253,-1,-1,664427,273572,-1,170783,199468,670278,476527,761052,-1,-1,-1,76780,388869,-1,588370,-1,-1,-1,766505,-1,660662,972900,92066,-1,-1,63188,-1,156610,-1,-1,71774,-1,628713,417805,-1,289422,-1,-1,-1,501233,540055,-1,-1,-1,976527,372617,411949,-1,58333,-1,-1,469503,-1,189430,275882,311225,-1,-1,988883,-1,-1,819638,578139,724534,253739,744642,-1,-1,483144,-1,391945,135707,-1,880634,307244,-1,115734,912394,-1,-1,-1,-1,-1,-1,-1,436269,920093,826002,-1,376790,-1,-1,-1,-1,116176,-1,-1,-1,454715,-1,602690,-1,155799,988862,682632,-1,-1,820336,-1,-1,-1,-1,-1,-1,-1,324534,704463,751228,340793,-1,-1,575358,-1,425970,787376,-1,117315,101350,-1,-1,419476,-1,140023,-1,-1,-1,-1,-1,682651,-1,-1,-1,538099,-1,417310,-1,679323,-1,865923,-1,-1,267469,183685,323525,-1,-1,-1,-1,-1,-1,294785,-1,219871,-1,687804,704173,55314,489552,454837,320146,-1,764279,283922,675316,770624,203102,425710,-1,240460,48515,236621,348215,221078,-1,-1,-1,697717,421231,792259,-1,-1,247730,53851,-1,617460,-1,870448,805576,-1,635619,315906,-1,918801,833277,812510,-1,-1,71764,-1,265805,-1,415290,-1,281516,-1,-1,832553,-1,-1,-1,333742,788832,-1,344882,191499,495476,-1,-1,18675,-1,-1,-1,584845,-1,85646,-1,-1,566623,439244,-1,-1,-1,964911,-1,684566,779227,184985,523272,-1,-1,768678,826184,-1,930354,-1,-1,-1,-1,-1,-1,-1,-1,493721,-1,-1,-1,375966,-1,-1,-1,112081,587445,-1,29031,603495,-1,-1,19774,489296,-1,-1,123066,630036,-1,480096,-1,-1,-1,438658,-1,617110,646120,812910,-1,-1,-1,-1,204915,141570,-1,-1,342947,-1,82218,736395,-1,129034,-1,646910,573159,450252,245641,853686,-1,-1,-1,-1,-1,-1,453287,694984,-1,-1,-1,-1,-1,-1,772238,365466,-1,787011,-1,-1,575154,-1,-1,-1,375016,717469,-1,-1,-1,736223,-1,-1,377727,-1,343026,753165,-1,-1,-1,-1,-1,-1,459037,894720,380916,906766,311100,965251,363748,504667,-1,500874,-1,-1,932108,763911,179838,-1,-1,57851,875436,-1,-1,-1,-1,-1,901696,-1,-1,139996,-1,-1,-1,-1,914682,191158,-1,850593,-1,-1,568700,-1,-1,317176,422157,394423,-1,-1,845367,812189,-1,258614,-1,-1,328976,412190,-1,907826,792588,-1,-1,462068,-1,521677,-1,-1,-1,542557,567745,-1,-1,-1,320973,-1,805201,-1,-1,458050,22450,-1,390579,144224,-1,-1,-1,630134,-1,-1,429050,234201,894231,998608,479669,8692,665831,102487,975774,999355,949233,294527,-1,-1,650838,-1,-1,-1,61128,-1,-1,888149,237028,537592,992527,-1,571067,-1,-1,50393,-1,-1,641297,93104,-1,-1,275721,719045,-1,-1,-1,-1,-1,214823,877957,-1,780309,593084,-1,879167,610235,-1,615032,394740,-1,233196,-1,-1,213644,152839,-1,764719,-1,187916,-1,-1,-1,-1,-1,-1,-1,-1,-1,858693,-1,-1,-1,-1,-1,908655,-1,455743,454609,897691,83756,229807,758449,-1,343553,357515,980021,614121,-1,-1,539998,475597,664965,-1,446779,930623,993343,500426,-1,-1,-1,-1,580175,-1,-1,-1,-1,-1,-1,896730,-1,265629,-1,-1,-1,152259,760169,-1,747935,-1,-1,397475,-1,-1,540929,-1,-1,737225,96592,-1,-1,256566,-1,168708,-1,295458,-1,872334,-1,-1,-1,189073,955819,-1,573216,797853,-1,-1,-1,630997,273338,57781,-1,758339,-1,-1,150484,-1,-1,-1,98926,616220,194414,-1,575641,-1,-1,313058,580961,-1,-1,716755,-1,934898,-1,-1,406677,7983,391830,-1,173961,981016,522133,431050,716769,966395,-1,-1,-1,-1,549040,260306,-1,641117,-1,613982,-1,-1,-1,67345,58980,415791,711104,-1,-1,312582,822886,509756,115138,883362,-1,855752,517483,751215,-1,822885,933438,341980,995245,-1,653424,-1,-1,199958,-1,-1,-1,857547,427482,672699,912449,-1,40129,421468,977698,22897,481208,-1,-1,-1,-1,-1,715475,-1,554204,-1,282558,496103,-1,-1,-1,734588,-1,-1,514715,-1,-1,814864,-1,182709,-1,-1,165334,-1,183790,46088,417954,284607,745650,-1,63105,-1,987842,374521,869844,907724,522626,614985,205786,-1,-1,-1,-1,498498,-1,-1,-1,-1,-1,-1,387355,318712,-1,-1,-1,172262,884563,431114,-1,-1,-1,-1,-1,786932,31532,-1,417000,972867,-1,118957,-1,-1,-1,641232,919513,622008,934249,-1,985096,818887,321414,-1,-1,380679,837168,217957,-1,-1,-1,899603,-1,-1,789942,831123,-1,-1,212059,-1,505830,395485,98082,99565,-1,397605,474600,623908,-1,-1,-1,-1,-1,-1,-1,-1,716416,-1,-1,909691,-1,-1,-1,477851,554315,288167,12524,-1,-1,-1,197572,-1,-1,900851,666174,-1,-1,-1,569627,216454,-1,135914,798598,715890,436872,565607,621183,-1,405259,-1,581230,494705,527466,987168,395530,895683,553492,-1,710925,-1,-1,452079,257371,-1,-1,612147,288276,23839,-1,645907,907394,788509,-1,284884,741521,-1,-1,315833,300123,564450,-1,471228,663067,-1,234349,-1,819166,-1,269675,-1,-1,-1,761647,-1,601977,281866,-1,185662,-1,-1,-1,-1,-1,-1,-1,989245,764235,-1,-1,-1,991259,-1,550949,-1,733074,-1,-1,-1,425396,-1,600523,-1,687786,-1,110671,719784,-1,760165,721937,-1,759828,621650,273814,-1,272913,981469,-1,-1,-1,-1,471937,-1,523717,-1,-1,459556,-1,-1,-1,-1,-1,-1,-1,618614,-1,-1,875980,-1,893237,927172,-1,307834,-1,-1,878362,245605,319634,-1,-1,-1,-1,567209,-1,-1,-1,787896,-1,-1,955730,244907,960990,664918,-1,-1,-1,514526,-1,-1,-1,678241,366586,169256,-1,-1,-1,-1,786118,-1,353006,-1,-1,-1,-1,-1,-1,217505,575586,-1,-1,457094,117363,-1,-1,221699,-1,105906,-1,204636,-1,-1,53146,282305,-1,-1,-1,277783,322993,486247,810196,-1,-1,480856,-1,634226,-1,973629,-1,455677,643372,883171,973651,344419,574233,960514,-1,474825,465360,264249,-1,-1,-1,711814,135650,-1,623466,653700,-1,368633,-1,23309,-1,580049,-1,304624,-1,270051,-1,787846,95957,90932,-1,224700,974573,-1,711160,970427,2494,803274,634332,739489,910186,-1,258996,897959,-1,615777,-1,895368,699731,988008,802496,-1,-1,-1,-1,-1,-1,-1,258504,-1,-1,477456,384464,-1,341444,159300,232092,-1,-1,802004,253922,-1,-1,-1,-1,-1,129954,-1,-1,192421,834788,730935,-1,773360,-1,-1,608376,640875,600886,799446,-1,-1,-1,720323,-1,-1,296678,-1,40444,540059,-1,772366,-1,-1,-1,-1,492102,-1,-1,-1,-1,23720,-1,-1,-1,284689,279312,-1,767702,-1,-1,227123,-1,-1,203956,642789,964179,482148,116838,-1,470113,-1,832884,565018,994801,-1,358905,608716,824548,-1,-1,-1,642185,-1,-1,439743,-1,-1,-1,187152,206472,697779,-1,-1,-1,-1,617858,123153,-1,-1,-1,149336,865797,-1,844645,-1,55706,-1,529590,-1,-1,-1,943246,-1,-1,15952,257894,-1,230457,89050,764000,-1,-1,-1,542632,-1,-1,-1,-1,544881,-1,-1,502385,92028,-1,624616,-1,856659,-1,866279,967223,-1,356937,925345,-1,-1,773736,-1,-1,-1,166344,-1,-1,-1,250795,-1,-1,-1,204177,-1,87906,107070,-1,-1,115829,798554,265167,535718,701688,-1,861849,-1,125380,-1,860425,435632,-1,675959,-1,694200,-1,397306,-1,506666,-1,-1,819195,-1,578096,536195,771860,258552,615494,864980,-1,274893,-1,466456,-1,501464,585674,391592,-1,-1,42595,408145,923392,-1,353195,256454,524471,246057,226004,586538,644918,556404,435351,-1,-1,584109,120352,-1,-1,345131,400819,103825,656952,-1,87045,-1,-1,-1,663673,-1,868073,618956,156851,403406,-1,576744,886710,-1,-1,-1,-1,-1,-1,74329,-1,378249,-1,724312,497405,-1,891152,-1,-1,-1,306352,354624,125481,718196,-1,907180,708240,681983,216596,-1,235056,488762,549292,126494,501486,-1,668063,881253,324084,-1,885485,113307,795231,-1,795621,-1,726663,-1,320538,17852,-1,-1,-1,-1,-1,303060,-1,766088,-1,173026,555972,-1,-1,371422,517726,796908,-1,922994,915305,817187,742352,167751,-1,797931,875217,306305,803414,377331,-1,862487,-1,146153,849883,214684,643446,596899,403107,-1,-1,-1,134389,185206,275308,672240,-1,368396,-1,550767,916160,-1,287878,159926,967043,869472,-1,-1,26062,-1,-1,757149,-1,921865,-1,855642,-1,-1,549947,21605,989136,-1,933175,819438,537861,297070,-1,-1,-1,465892,917615,933252,44947,410393,-1,144171,630435,-1,-1,763874,-1,-1,923579,-1,79537,-1,969407,-1,726774,-1,271109,541661,-1,-1,-1,-1,949420,-1,-1,-1,74065,487853,-1,-1,-1,-1,-1,-1,711902,490905,12667,-1,-1,-1,22415,919696,60961,9282,971390,-1,24500,-1,763601,762443,701052,693529,-1,-1,63354,-1,-1,-1,201385,347254,599928,385846,314148,-1,630586,-1,-1,470352,-1,716554,781733,610560,199765,368626,995699,-1,-1,-1,718493,-1,-1,202376,924671,881658,-1,924864,194106,448968,629900,-1,573683,-1,-1,-1,232528,-1,187881,145763,591202,90064,-1,-1,-1,-1,-1,-1,825804,-1,529220,149801,-1,206597,-1,-1,-1,203713,796213,-1,854983,685400,381280,322842,-1,21838,489703,673022,-1,-1,46561,49193,-1,-1,593123,-1,-1,-1,-1,-1,-1,9201,462816,-1,-1,497582,-1,325851,-1,455563,640460,-1,-1,834540,-1,515716,553901,-1,921392,-1,541788,604434,-1,-1,-1,-1,-1,654841,802636,-1,-1,-1,-1,242411,999057,182042,-1,-1,-1,709396,772917,903399,26740,-1,638873,-1,-1,58688,-1,-1,-1,-1,-1,-1,-1,471567,293524,-1,-1,-1,-1,-1,-1,859319,-1,-1,762705,974387,353421,-1,-1,-1,955127,341446,-1,-1,-1,-1,774116,919076,363006,-1,-1,-1,-1,902241,625923,-1,-1,393389,-1,-1,253334,-1,-1,166318,-1,54642,-1,-1,-1,-1,-1,-1,456341,998436,-1,-1,-1,-1,510967,-1,-1,-1,372725,-1,693507,-1,-1,-1,-1,356324,210846,921704,564473,6916,619433,-1,-1,662448,422809,-1,708710,59854,263562,-1,-1,403507,-1,-1,-1,705482,-1,858741,155381,621880,-1,567429,-1,295479,975599,601050,325531,235627,-1,397107,-1,145022,656027,-1,135828,-1,15171,-1,-1,765251,-1,-1,663004,-1,-1,778674,-1,667275,285377,-1,-1,702401,359804,293386,499278,379201,795722,-1,-1,500167,696399,-1,-1,-1,-1,444647,650801,682420,-1,-1,942660,267089,761330,-1,820798,-1,-1,957025,854081,708382,154627,-1,673838,-1,-1,750027,437506,-1,205418,898864,-1,158806,-1,-1,-1,-1,963183,776828,-1,811406,548746,-1,-1,-1,-1,382715,359273,754901,665165,-1,160949,412523,-1,-1,-1,-1,-1,-1,-1,165089,167592,-1,393797,354614,89041,574541,-1,418534,-1,831420,229444,-1,-1,269320,-1,759129,-1,-1,-1,-1,-1,564347,-1,-1,-1,-1,-1,265394,-1,46584,-1,57872,-1,-1,-1,839769,-1,-1,963141,-1,-1,152764,3166,923161,800657,476794,496480,-1,-1,-1,-1,-1,-1,332097,-1,-1,-1,-1,115020,162797,-1,-1,902794,477729,-1,461887,213444,-1,-1,-1,-1,671140,481319,-1,-1,150316,572231,-1,-1,354390,-1,363761,952761,792711,351667,215964,374984,-1,806156,-1,-1,-1,363775,-1,-1,-1,636952,-1,-1,413702,258980,661883,387827,553371,-1,-1,753491,-1,-1,-1,-1,117470,-1,234590,608155,-1,-1,759299,-1,-1,438104,-1,-1,301129,413668,-1,-1,610353,-1,-1,186247,-1,-1,435167,960847,320967,933171,-1,-1,-1,-1,-1,-1,903236,-1,-1,-1,633679,327900,193593,-1,-1,-1,-1,-1,-1,-1,-1,-1,753075,-1,45496,832763,58164,59364,151203,-1,-1,-1,-1,-1,871597,380907,190063,-1,-1,535895,916053,143929,-1,569400,187670,862674,-1,-1,89134,775812,262923,229258,-1,744258,556604,-1,285352,758172,960097,-1,-1,-1,462520,18248,-1,954462,918423,676305,709523,144491,643752,-1,779366,276970,644389,-1,161121,537878,-1,599336,-1,270011,-1,-1,254815,918627,604280,-1,-1,-1,-1,128820,-1,686190,820788,-1,-1,35581,157791,654872,800793,-1,199854,665797,737671,-1,-1,-1,890344,-1,613595,947896,-1,-1,867331,490289,674078,-1,274092,59119,-1,750001,-1,-1,982888,-1,-1,-1,888962,655663,-1,750994,289110,-1,-1,-1,805379,585710,-1,596227,-1,227511,-1,-1,-1,803406,667083,-1,592223,479154,900821,-1,618583,-1,-1,560719,296222,-1,219102,632450,-1,-1,-1,996877,-1,-1,223813,146063,386418,-1,-1,511703,-1,-1,-1,-1,660971,185323,-1,169617,615241,754738,855977,815454,937799,774667,-1,-1,-1,-1,580405,443231,-1,843140,-1,47325,36683,444782,405136,515171,390149,-1,703178,318456,725933,507902,72395,393173,-1,-1,601532,324107,793135,-1,571834,150550,-1,950864,-1,285197,390451,-1,-1,-1,219418,-1,321279,16071,-1,107431,478070,-1,-1,-1,981843,-1,-1,-1,342840,479778,916610,524958,124738,-1,-1,-1,276257,698748,-1,-1,712275,852158,-1,-1,-1,-1,-1,-1,-1,664112,-1,-1,711791,-1,-1,-1,-1,-1,-1,-1,69181,278198,-1,-1,395123,-1,-1,-1,-1,923323,564706,-1,-1,-1,505432,892839,70449,-1,680501,-1,-1,182722,945236,-1,-1,-1,731313,-1,-1,-1,703121,-1,-1,-1,813620,-1,-1,-1,650566,-1,54571,-1,377847,-1,-1,-1,-1,-1,-1,553756,747184,882247,-1,145192,-1,999699,-1,471548,-1,636578,-1,-1,447482,-1,486633,989199,-1,-1,458023,-1,608945,-1,464504,246566,537348,543361,376892,546987,-1,751342,-1,-1,-1,513215,-1,413438,-1,302059,20554,982438,700582,254772,530115,797183,539208,298975,-1,-1,-1,53672,270028,-1,-1,101843,-1,83538,764016,-1,-1,548719,-1,831437,398895,733344,-1,-1,780082,-1,-1,537480,-1,685932,-1,577483,204137,-1,-1,801485,-1,-1,-1,-1,180946,-1,205521,389108,483006,-1,740994,275495,15787,-1,625791,-1,328425,-1,677141,-1,-1,919752,328758,458263,103628,313128,967865,-1,-1,-1,-1,858743,-1,-1,-1,665450,387046,92707,-1,-1,279034,457519,475286,-1,195827,-1,-1,9418,-1,-1,-1,-1,954198,-1,-1,-1,996024,-1,-1,655071,9701,920869,591944,-1,-1,-1,687425,530163,476182,996066,-1,-1,141636,496795,42632,907068,357120,-1,432514,702113,467557,-1,-1,-1,149763,536838,-1,-1,148400,-1,-1,-1,485086,721146,574345,324527,518226,237051,-1,758389,540386,457859,-1,275663,415561,-1,-1,-1,-1,-1,328683,-1,465808,897826,916381,-1,444335,-1,-1,-1,512329,264694,96244,468118,946296,-1,-1,588058,-1,638412,808859,-1,305346,-1,-1,-1,998794,149020,-1,323921,921625,778964,-1,-1,-1,-1,-1,-1,997903,640970,621629,-1,-1,-1,995208,-1,-1,321174,-1,827556,-1,-1,679989,-1,14853,-1,685814,-1,-1,714649,-1,-1,229439,798501,-1,-1,605066,491181,-1,-1,41050,979814,-1,728304,47454,627333,296466,-1,-1,-1,545062,85899,482706,-1,260620,948117,-1,-1,850197,762537,297762,854256,-1,-1,10851,-1,-1,940779,-1,478570,-1,120267,-1,128109,-1,734985,-1,-1,287692,-1,-1,972000,-1,-1,-1,88076,337834,-1,-1,220103,-1,501236,700134,166159,2560,487261,-1,450639,-1,340292,301122,481627,608843,-1,-1,-1,433018,56350,-1,-1,-1,-1,-1,-1,39097,237500,-1,277648,542619,-1,706237,304258,-1,721881,292177,-1,499246,-1,719679,-1,-1,-1,996403,818809,997018,563397,-1,57335,-1,-1,79291,26564,1504,133858,959997,912570,357909,-1,96010,-1,-1,-1,-1,-1,-1,149295,-1,-1,757296,197601,-1,-1,-1,306429,-1,200686,-1,146507,-1,348180,915029,515156,-1,551038,-1,954939,-1,753655,-1,462535,-1,199861,-1,-1,-1,-1,512454,-1,777752,462891,-1,-1,128650,-1,39951,952729,528560,-1,-1,-1,331098,671821,-1,272837,-1,-1,-1,-1,532034,-1,-1,-1,887128,-1,238830,-1,-1,207701,-1,-1,-1,-1,-1,87904,-1,-1,-1,196749,248514,-1,728637,763552,-1,260722,772072,907531,269896,-1,-1,-1,977962,-1,-1,-1,-1,805237,-1,868375,-1,446854,78854,406267,993774,239324,-1,503847,46470,582758,263978,-1,-1,330968,583571,689106,325948,-1,801256,912112,-1,714093,-1,457214,392756,-1,-1,308182,-1,-1,-1,954210,-1,344400,-1,400927,-1,-1,-1,603735,-1,-1,-1,804813,-1,-1,-1,265812,930077,-1,-1,-1,167544,540355,-1,-1,671768,305592,-1,910996,-1,236593,-1,305198,-1,474125,-1,808701,279507,42102,707987,-1,624574,-1,293597,-1,-1,465393,-1,-1,-1,-1,297853,-1,-1,338369,-1,-1,-1,145427,332507,691278,559854,-1,-1,141146,-1,-1,-1,201349,794576,-1,120399,-1,-1,844568,442973,994663,-1,-1,-1,904730,-1,103655,630841,164597,-1,-1,-1,828418,501895,-1,773668,-1,548924,-1,-1,151371,-1,737718,-1,-1,112858,161788,554343,86341,-1,-1,375322,-1,949598,-1,35177,225074,427870,-1,764303,39671,690179,838176,-1,405779,-1,-1,849450,-1,-1,-1,-1,236305,900341,179584,844459,89970,-1,584890,294011,-1,723747,853405,154332,-1,-1,268760,112296,-1,480742,-1,-1,-1,576418,24908,-1,492984,311651,-1,-1,2279,773400,929833,688913,-1,-1,902123,441535,-1,-1,84244,611246,470707,836048,-1,905830,-1,-1,784980,258908,381116,107360,-1,207376,157564,53119,-1,-1,-1,624798,396907,-1,-1,-1,803258,325283,488889,238979,740883,799390,-1,-1,-1,293407,100835,-1,131749,-1,596039,-1,-1,576272,14792,-1,514646,770513,694018,-1,2694,-1,-1,-1,-1,-1,128743,-1,521890,-1,-1,705830,810599,-1,-1,-1,-1,-1,348876,-1,950396,170576,-1,914160,174101,-1,641322,-1,-1,-1,855962,-1,864463,-1,836970,-1,976785,-1,700152,-1,316685,-1,717281,-1,-1,170502,771278,-1,-1,-1,889234,-1,-1,737226,-1,-1,656124,-1,798535,591263,248046,-1,-1,-1,578266,-1,702822,151190,-1,447111,-1,-1,199278,181669,217642,-1,-1,-1,-1,763112,596160,317419,101733,748497,673381,-1,-1,-1,969945,69558,904329,680120,-1,-1,-1,848239,-1,-1,204275,6093,-1,541760,-1,-1,564730,-1,412439,386968,-1,467063,-1,-1,821693,228683,827708,-1,-1,440695,-1,-1,883587,678274,889767,437540,-1,170450,480142,-1,-1,525117,-1,977942,-1,680335,529810,-1,793432,-1,192531,-1,785752,-1,978441,659273,-1,173667,431703,76791,-1,-1,902852,-1,-1,-1,-1,855137,-1,25875,903092,-1,-1,105544,-1,992342,-1,974609,-1,344099,876561,-1,434748,-1,-1,908320,500370,458201,660945,-1,-1,-1,-1,-1,-1,-1,90159,-1,247464,-1,196978,-1,440440,-1,-1,323189,-1,832044,-1,-1,-1,399032,-1,-1,447273,-1,-1,180721,-1,159691,-1,-1,-1,699235,736208,345492,766922,-1,-1,-1,-1,298331,137169,-1,-1,-1,943336,-1,-1,-1,274912,207095,-1,-1,-1,839460,-1,-1,811424,-1,981900,-1,554304,477145,-1,649444,-1,-1,322223,-1,-1,-1,77969,748512,853535,271610,-1,518414,717881,380199,-1,-1,204574,-1,678662,428385,487456,-1,932619,775511,547485,509318,-1,59377,729359,661980,-1,-1,257948,-1,447538,-1,210787,773276,-1,770252,71158,682328,-1,-1,-1,-1,7030,653824,928033,293838,519257,-1,-1,-1,-1,979017,-1,593778,-1,933355,-1,676942,-1,827416,738197,-1,-1,651663,-1,-1,799999,128335,-1,919483,-1,-1,530729,-1,715348,430566,-1,994824,-1,687984,314124,-1,-1,51597,580503,-1,-1,870829,-1,-1,515999,-1,875639,641171,223847,178085,553854,-1,-1,-1,-1,-1,-1,-1,860617,847370,31100,-1,-1,-1,-1,-1,74809,363948,-1,-1,-1,-1,-1,512169,-1,886128,919197,-1,85435,-1,-1,-1,377851,197034,744494,-1,-1,-1,-1,9727,-1,-1,-1,-1,-1,-1,-1,-1,737503,-1,142077,848408,498558,-1,-1,675130,-1,640275,-1,-1,-1,135371,-1,-1,687720,165387,694960,683108,60990,-1,-1,-1,919021,294087,695188,-1,-1,329861,-1,441152,-1,-1,122482,295997,264766,-1,645203,139929,-1,-1,-1,113694,-1,281815,260139,87753,-1,-1,390621,265193,-1,-1,-1,-1,250783,-1,-1,-1,694908,-1,113148,559590,761061,128862,397873,885796,-1,758622,984795,7294,102575,-1,-1,802997,30551,-1,654411,694218,-1,-1,-1,-1,-1,192367,-1,250437,-1,-1,832251,857147,-1,-1,-1,230141,-1,495267,-1,816670,732544,-1,677794,509022,-1,-1,-1,120737,354866,-1,-1,948519,-1,735608,-1,-1,640012,-1,-1,775282,-1,421661,461199,-1,-1,-1,-1,932497,969667,479966,942222,364238,-1,-1,-1,-1,797214,628667,-1,859865,484378,957477,-1,-1,339263,-1,915451,895473,107879,-1,717193,828078,265761,-1,-1,892815,-1,-1,108126,-1,143863,-1,113330,309652,915643,989256,375579,-1,-1,821238,433510,209498,518428,448621,-1,96135,-1,-1,393981,772717,-1,888799,-1,219901,596754,561120,-1,138689,-1,365371,345529,585692,666659,-1,-1,378546,-1,361251,-1,967624,101821,-1,464623,155141,466021,553693,-1,-1,342983,672031,-1,-1,526623,-1,-1,830717,89507,-1,529465,-1,171621,673820,-1,801441,-1,521656,836424,-1,-1,231674,-1,628137,-1,-1,-1,767566,-1,868500,681424,683013,-1,-1,-1,-1,-1,837472,-1,433845,-1,258933,143180,2713,802276,-1,-1,141110,97792,-1,-1,321966,704013,905041,-1,968929,376904,37875,970455,83112,-1,533970,203591,350935,255560,-1,-1,484840,-1,266286,-1,-1,75929,-1,262098,-1,535030,132705,851767,909686,-1,922828,-1,679211,-1,263197,314533,-1,-1,744358,998720,-1,586908,537340,-1,250434,412072,745737,66846,-1,-1,3482,-1,854805,-1,-1,756572,298013,232593,-1,-1,-1,-1,-1,923775,-1,-1,-1,858857,283896,592051,-1,837734,-1,-1,38339,702068,-1,-1,483246,446701,554506,-1,682650,-1,855521,372019,149897,85103,746069,22824,-1,908757,408420,244353,473551,914566,-1,821557,-1,-1,170021,608980,-1,392783,170156,-1,350380,-1,-1,-1,18736,-1,799139,951949,652496,309962,675687,272370,866635,524271,167829,359383,856703,-1,578771,871851,-1,-1,-1,-1,257428,-1,444867,-1,-1,368398,-1,862380,-1,-1,-1,-1,-1,55174,-1,-1,383882,799293,-1,-1,-1,214533,146643,-1,-1,-1,-1,353872,147854,101549,101063,-1,-1,466964,45498,859875,818645,694352,60383,802894,948050,248087,-1,-1,-1,103330,-1,847108,504620,-1,-1,24404,746412,784624,849600,153300,300947,-1,-1,269061,-1,515385,-1,864116,22453,686212,-1,-1,-1,189126,591886,-1,629250,216807,-1,221589,401418,785113,36574,598421,38823,806382,-1,535575,-1,368148,-1,-1,546112,-1,-1,804398,-1,-1,523265,5394,109497,-1,519784,-1,282791,345024,-1,343503,432215,596935,-1,-1,-1,-1,458886,778763,263588,556538,628325,496424,-1,929275,-1,515413,346772,-1,-1,31407,-1,232780,442373,912161,899616,-1,904811,-1,-1,-1,301021,-1,527239,-1,994189,892172,976479,-1,-1,489053,814334,853483,-1,485776,864935,-1,-1,810,719252,-1,678710,242303,334961,103759,463530,545528,79675,924010,-1,-1,809590,-1,-1,-1,861923,400590,519820,-1,-1,-1,-1,-1,-1,-1,605626,-1,-1,324698,912428,577815,-1,61269,707538,-1,649398,-1,-1,-1,92534,-1,735828,500752,-1,-1,-1,-1,131621,840694,-1,886860,-1,-1,308590,-1,652759,-1,-1,-1,-1,-1,391512,574147,-1,-1,209104,303358,656747,-1,104161,789749,-1,-1,-1,-1,-1,-1,981411,52807,-1,-1,-1,-1,-1,-1,394599,-1,247373,-1,845008,-1,-1,-1,-1,510843,-1,-1,645068,224166,-1,-1,259942,-1,555475,921538,-1,977626,713600,206490,-1,-1,931648,-1,-1,-1,22373,-1,697486,-1,-1,17381,-1,-1,937142,899144,312780,675279,-1,25652,-1,302336,-1,263844,136197,759998,-1,486004,-1,400766,-1,-1,338086,-1,567927,915125,-1,-1,-1,440959,-1,844950,-1,-1,-1,316355,904689,-1,-1,600832,-1,-1,878678,606418,721217,29221,558186,-1,6442,761728,949108,394483,-1,-1,-1,-1,-1,-1,-1,-1,-1,332938,-1,-1,229240,600851,-1,267731,695532,-1,-1,-1,-1,-1,-1,-1,397925,-1,707470,347185,-1,-1,421574,421097,-1,790235,438283,603768,542883,-1,-1,84310,-1,-1,998048,-1,-1,764227,-1,-1,-1,-1,-1,932751,-1,-1,95409,-1,424532,-1,890019,623338,437225,420383,-1,866446,118459,796478,-1,-1,168793,-1,-1,-1,843031,-1,-1,-1,752486,791372,-1,-1,-1,49488,17229,705321,317739,648305,684507,264787,-1,-1,19537,-1,162698,-1,-1,70671,830610,-1,-1,368948,-1,-1,-1,778935,130232,-1,-1,623897,-1,-1,861670,813533,-1,-1,-1,-1,-1,858927,277021,533518,-1,-1,236666,103430,-1,-1,301499,-1,-1,684213,965552,-1,-1,70236,909913,746146,527362,-1,-1,661498,549063,369017,550438,151174,54757,-1,686215,734516,-1,169250,759487,996385,743536,-1,-1,993530,966127,-1,893174,406461,641530,87866,-1,-1,-1,566068,-1,997714,126619,504205,403716,53024,567632,16919,278398,-1,826695,692178,52700,-1,-1,-1,405485,-1,919484,-1,413934,127933,-1,-1,-1,-1,-1,-1,433239,-1,589259,740947,-1,627289,-1,261962,393305,739391,-1,367083,98818,207071,946568,-1,37326,949677,-1,-1,800632,203483,-1,749776,796530,879528,13061,329865,466538,556941,-1,-1,-1,-1,362306,325665,-1,-1,-1,15646,-1,-1,232128,435300,-1,984183,-1,689151,-1,-1,-1,-1,-1,-1,-1,471388,-1,798669,548645,423497,-1,-1,976506,913877,896667,507799,741687,-1,97237,148737,429296,876269,805580,445376,226252,270908,-1,563627,720530,889062,572905,444576,857156,871924,-1,-1,58155,-1,-1,-1,731760,-1,889007,-1,-1,330440,30912,-1,-1,337794,630040,-1,-1,920665,-1,333222,-1,-1,-1,964350,-1,137877,525391,-1,-1,266147,180253,-1,-1,-1,568168,-1,-1,-1,-1,710335,-1,-1,-1,278941,-1,445691,-1,-1,802870,-1,556971,-1,244713,-1,-1,572771,116941,-1,277819,-1,-1,278640,460183,-1,522656,-1,-1,55461,-1,960206,504129,-1,-1,236068,294216,-1,791382,872667,-1,-1,-1,-1,-1,-1,-1,618920,-1,773386,446920,-1,915856,-1,146736,-1,-1,-1,624859,761307,24642,163498,-1,943635,555876,-1,-1,-1,686258,122644,-1,-1,224136,719378,-1,-1,860244,-1,253234,-1,-1,-1,-1,-1,-1,-1,968632,368514,-1,690338,-1,834887,-1,-1,375569,624684,-1,956982,802017,-1,-1,-1,245572,516198,-1,-1,-1,-1,329231,-1,-1,366187,704634,-1,-1,-1,611519,-1,-1,474905,597562,399824,-1,-1,654398,-1,796679,240633,156783,778196,274379,873949,889144,383611,-1,-1,897147,-1,-1,-1,-1,920710,-1,-1,-1,-1,934274,-1,-1,262104,-1,-1,-1,155965,419752,998197,11918,377754,721472,-1,975407,891295,277695,618354,-1,-1,-1,-1,-1,-1,-1,985521,239249,-1,-1,157702,773280,-1,843634,40326,-1,547061,-1,-1,-1,47386,-1,911848,-1,480908,-1,370589,-1,991488,380564,-1,-1,-1,-1,996928,507391,-1,-1,980707,129764,23512,-1,40795,641580,116346,120917,463271,-1,-1,-1,318737,-1,-1,221667,-1,769009,492323,-1,-1,678783,827983,-1,-1,-1,745867,848417,891558,-1,902572,-1,-1,916598,412425,726832,-1,-1,590069,938079,-1,238993,-1,530641,-1,-1,-1,931657,339187,-1,-1,-1,-1,709793,-1,-1,895467,-1,-1,-1,232849,805673,140487,-1,-1,644950,-1,-1,-1,-1,-1,330005,-1,286770,-1,-1,-1,603987,-1,204220,-1,24765,906869,442146,700855,78856,-1,-1,417187,-1,-1,614606,127523,729477,-1,735851,718301,11978,-1,-1,-1,920096,-1,24743,466238,-1,894170,993194,991105,-1,601512,-1,954372,-1,700692,-1,-1,-1,366432,-1,481469,-1,-1,1387,511279,884929,358705,-1,-1,245182,393399,-1,961955,-1,-1,416224,-1,-1,-1,-1,-1,508192,-1,283189,887792,593955,463141,609183,-1,-1,-1,488562,-1,497119,207488,715740,-1,944050,-1,-1,-1,-1,-1,-1,184928,607041,279345,-1,66862,-1,608259,45279,-1,393015,116840,-1,-1,-1,-1,-1,477309,572200,588986,-1,-1,-1,325900,-1,-1,-1,-1,-1,123791,-1,322200,600800,744346,816511,-1,590054,758817,-1,-1,-1,-1,-1,530946,-1,-1,414365,551513,-1,-1,694943,-1,-1,131815,794687,-1,102192,-1,234159,45320,465355,-1,5359,134368,-1,75483,-1,817685,215145,3411,-1,-1,-1,743162,857223,724419,-1,598975,-1,-1,-1,-1,-1,-1,-1,912258,445334,-1,986943,355362,564012,817063,940644,-1,-1,745021,-1,749124,139847,27751,-1,-1,794625,400204,832769,51196,594773,343482,-1,-1,-1,25261,-1,-1,-1,-1,-1,586267,-1,-1,-1,-1,135818,-1,-1,332100,184167,-1,425074,-1,-1,-1,-1,368264,-1,-1,166353,-1,-1,-1,-1,223378,489223,285146,-1,105862,95984,-1,-1,-1,900921,-1,-1,38361,-1,804664,423294,-1,-1,584740,-1,658868,-1,565548,-1,-1,-1,913960,508039,-1,568060,674101,622076,-1,-1,-1,-1,387230,-1,8053,777319,-1,-1,52940,-1,227910,925974,-1,499700,-1,-1,-1,103382,-1,-1,910796,-1,-1,341642,-1,653200,57098,-1,-1,-1,-1,174970,-1,-1,-1,-1,-1,979090,293104,463415,495179,-1,-1,314543,-1,132608,-1,114504,-1,140171,535508,-1,-1,972803,-1,174556,972401,30213,-1,-1,-1,-1,601367,955253,508586,-1,600608,-1,983905,687393,44342,-1,818353,-1,343027,-1,667500,9198,-1,-1,247506,876287,-1,477165,-1,754116,439676,51063,747274,391520,165333,-1,115869,-1,48866,-1,990052,673187,862463,-1,-1,163809,473026,138022,-1,88280,312453,105524,-1,-1,991087,120499,247557,67167,225043,-1,529571,329184,-1,-1,963742,387458,-1,814729,-1,-1,-1,-1,359699,-1,754930,-1,-1,-1,864724,225843,424028,294675,-1,-1,145004,742630,750270,-1,382329,710204,-1,68821,27133,-1,521837,-1,695270,-1,-1,794678,926410,-1,901799,243779,405669,503602,426829,-1,-1,-1,704124,-1,841603,-1,75712,279866,-1,-1,150701,112612,36224,-1,-1,461740,780894,175440,734182,-1,935338,-1,-1,99743,393845,792917,-1,97907,91548,-1,825838,556922,-1,371351,-1,420804,-1,180692,885681,166811,-1,343274,168545,689495,870527,833924,377503,575937,737015,-1,-1,726370,-1,449638,-1,261801,46969,-1,-1,-1,-1,950003,-1,-1,-1,929023,-1,-1,897188,833336,-1,645507,583951,-1,549653,-1,878528,471983,-1,683499,-1,169087,-1,698729,-1,149695,-1,-1,926945,-1,-1,-1,-1,582037,-1,-1,-1,-1,-1,-1,205603,629423,-1,-1,632383,-1,288054,962404,950066,127482,253349,409532,-1,212234,-1,-1,384394,960294,-1,520213,-1,709203,-1,-1,-1,-1,-1,517413,300828,792985,325697,928374,-1,-1,-1,-1,-1,180685,-1,-1,-1,911081,838418,-1,-1,-1,349406,395232,-1,-1,-1,-1,622354,-1,-1,-1,182882,980701,862736,-1,189197,-1,513217,470175,262853,265809,-1,960023,583714,228318,-1,-1,-1,-1,-1,791783,995986,-1,-1,790606,14817,-1,750246,116166,-1,148775,-1,-1,335871,-1,48388,-1,-1,-1,733871,858875,415072,-1,404325,-1,-1,-1,788341,432961,-1,554727,-1,105750,-1,70876,647642,994154,712470,801921,-1,453368,566397,250813,-1,-1,-1,499233,565086,-1,-1,652549,272117,802702,-1,729274,-1,-1,-1,500163,-1,542625,-1,36685,-1,406147,309129,-1,302712,-1,-1,605673,204656,-1,-1,-1,742551,599521,-1,-1,63602,820381,-1,713541,-1,970602,911328,19377,644618,-1,648987,-1,-1,246964,357738,-1,890980,44092,-1,642155,-1,816308,858887,-1,345752,879438,138614,-1,-1,633942,391464,-1,-1,-1,-1,-1,684595,368546,-1,638002,464389,-1,858215,-1,-1,898579,166390,-1,-1,-1,864937,-1,-1,246786,-1,-1,49939,-1,160899,219761,434186,508912,269942,363388,-1,654372,171680,-1,392508,-1,-1,357407,45970,-1,-1,-1,823908,744263,-1,-1,158331,-1,-1,710796,-1,-1,361564,-1,-1,683941,-1,715188,538488,313145,218210,429985,-1,-1,-1,-1,955299,-1,-1,357321,644483,157830,-1,-1,761783,-1,993298,-1,-1,-1,591863,-1,955765,-1,414260,964344,664196,604575,397841,48805,993541,-1,-1,513323,-1,-1,-1,-1,-1,492103,-1,-1,570,668713,-1,322459,-1,-1,-1,701959,985349,599764,725910,624051,-1,-1,-1,772292,-1,573032,336516,656684,119768,119927,119305,24359,-1,-1,607638,-1,-1,-1,758898,-1,920933,-1,-1,906486,-1,785756,915653,-1,-1,-1,-1,-1,-1,34510,511153,602953,-1,67635,796968,-1,150114,587490,-1,355570,-1,774341,-1,-1,266809,-1,-1,-1,206143,908438,-1,-1,-1,429474,-1,197504,308251,207805,253177,925480,-1,592347,447459,448854,73503,842260,-1,145262,-1,485581,-1,345156,522040,-1,-1,-1,570388,-1,-1,-1,-1,597961,98891,-1,108261,-1,-1,-1,-1,604617,-1,-1,-1,55601,-1,281481,-1,225134,298614,983850,-1,326244,954302,840547,173878,-1,-1,-1,-1,-1,-1,-1,469270,467839,-1,95895,-1,452455,839751,-1,487864,-1,708246,-1,-1,323794,-1,127381,-1,572282,-1,-1,809319,-1,675211,-1,-1,895121,-1,-1,922099,152004,-1,-1,637388,-1,418776,-1,-1,815063,10346,148178,88236,942598,402060,-1,-1,-1,175828,594647,900812,159669,-1,838726,751262,171279,915624,-1,781037,809432,842745,-1,291278,-1,-1,201933,837877,92601,-1,-1,-1,712640,-1,707057,65969,968311,297473,724795,897546,627202,492089,-1,-1,453994,598887,175072,-1,-1,-1,-1,164611,467544,-1,-1,-1,-1,-1,725065,899313,-1,-1,-1,-1,948707,773449,535584,-1,-1,919606,218738,-1,-1,852754,987748,593298,75105,-1,-1,-1,-1,-1,-1,541350,19833,765203,656841,199412,454120,415814,-1,783061,610197,622301,-1,-1,37421,743289,621223,649084,-1,872105,183804,-1,456261,-1,807316,-1,-1,681930,-1,-1,-1,-1,-1,764506,623619,-1,605442,-1,265336,974756,830976,-1,854678,-1,-1,-1,-1,-1,791993,-1,-1,314300,-1,424806,-1,-1,-1,-1,540801,886425,584485,105263,-1,931110,-1,-1,-1,-1,254950,-1,-1,601591,-1,271999,-1,999390,532739,-1,563496,-1,-1,328514,-1,-1,-1,770641,-1,689902,-1,-1,130055,549058,950202,-1,947617,-1,635178,550743,278669,148173,-1,-1,-1,-1,-1,478369,93699,-1,-1,303913,219248,210294,875197,174416,463443,-1,-1,950633,467271,-1,-1,-1,208508,64061,-1,-1,739111,-1,897238,-1,-1,-1,63288,577289,660402,-1,392353,-1,-1,768543,834297,585178,344710,451311,-1,974071,-1,-1,790227,891906,797544,87993,-1,-1,249315,884199,273154,414820,738723,-1,853519,375463,-1,-1,-1,-1,-1,-1,248867,-1,-1,-1,279150,-1,392090,374520,-1,-1,-1,-1,37850,-1,-1,1797,276653,-1,137786,-1,-1,-1,-1,-1,332664,-1,836537,-1,-1,47005,599766,695148,594940,-1,-1,480899,379128,222037,108962,-1,-1,61262,219013,-1,119962,842922,-1,795094,943786,524145,424138,265911,-1,478847,266924,-1,-1,7818,-1,26013,-1,959606,379868,-1,-1,466357,823461,59700,83820,69012,759511,813873,878870,657521,522922,266110,-1,-1,-1,-1,709549,-1,-1,920865,181481,970927,870081,-1,-1,864020,352735,355004,-1,-1,-1,609095,629094,-1,434270,671121,793957,489071,-1,-1,-1,-1,-1,-1,-1,263170,223642,-1,935234,-1,77608,123825,-1,453639,165349,448004,-1,507194,-1,-1,-1,589342,-1,855471,560026,-1,933281,-1,-1,576542,-1,-1,-1,-1,285056,-1,-1,218355,114605,-1,-1,-1,-1,-1,398332,671888,-1,-1,-1,173376,153969,432486,-1,-1,-1,786005,924900,566352,706605,784327,345010,526002,82224,168625,-1,-1,-1,-1,-1,663553,224059,373356,516647,757525,239032,859683,-1,-1,58780,-1,934602,564223,-1,624758,713095,73095,-1,-1,-1,-1,-1,-1,-1,-1,552038,684161,-1,-1,-1,-1,-1,267382,100147,-1,174879,-1,825678,-1,265569,-1,5950,171072,-1,-1,-1,-1,-1,-1,932458,-1,366662,630321,731026,-1,-1,-1,120835,-1,669058,-1,-1,385947,854559,-1,389800,790420,148244,-1,-1,-1,-1,-1,669566,-1,12228,-1,399222,-1,-1,-1,-1,-1,480333,-1,-1,642531,-1,-1,429613,833030,-1,-1,697712,-1,-1,63978,969373,771566,212307,-1,-1,-1,178997,-1,-1,-1,-1,767289,15290,296064,-1,-1,347651,665730,799637,-1,78046,-1,-1,135913,993828,-1,768136,-1,756842,709696,910655,750972,210343,-1,-1,944795,-1,-1,623252,977765,523687,781021,-1,248855,889248,-1,934862,794423,359933,-1,917111,975183,-1,418400,-1,580004,691102,-1,-1,-1,320877,720830,769558,-1,540921,338502,-1,416305,502285,304631,376766,-1,-1,-1,-1,-1,-1,-1,-1,494968,581826,-1,-1,720843,315588,-1,-1,-1,-1,-1,-1,-1,384251,202549,-1,967940,-1,640912,230997,-1,-1,-1,-1,-1,559735,830752,-1,-1,-1,605400,265567,-1,-1,279397,883072,266205,-1,-1,-1,-1,-1,349901,-1,143031,-1,-1,925209,-1,456448,428509,-1,238750,-1,373722,-1,500486,-1,-1,790431,235167,629921,-1,-1,-1,-1,-1,987200,183712,654801,610473,-1,-1,857554,-1,518020,803813,-1,-1,119425,-1,-1,832772,727811,-1,636441,565647,462491,-1,492087,666352,732057,9004,463542,98162,147354,31083,-1,707780,-1,575874,239147,885614,-1,-1,358824,997421,-1,761724,-1,-1,837880,-1,357095,-1,-1,605539,-1,-1,-1,556996,188081,-1,-1,-1,148336,528789,-1,-1,636250,943999,620954,-1,-1,73846,-1,-1,263323,-1,-1,-1,-1,-1,-1,429801,483812,602977,-1,94755,-1,729209,641596,-1,158536,-1,-1,-1,-1,-1,548956,-1,-1,897823,755444,-1,-1,-1,-1,-1,318884,-1,887214,-1,137890,711549,-1,-1,968876,-1,-1,-1,-1,-1,-1,-1,639487,-1,130564,176171,-1,-1,889889,966557,-1,382276,-1,881693,190700,-1,-1,774139,389914,-1,808999,587446,976270,638773,-1,-1,-1,-1,-1,957651,-1,-1,-1,135075,490691,309377,376501,-1,-1,588409,290636,245780,-1,-1,37963,-1,894782,596830,552143,-1,-1,-1,-1,-1,361789,-1,-1,-1,-1,-1,-1,883269,801535,230403,-1,-1,-1,474868,732674,-1,704407,239573,-1,847265,-1,667977,-1,25412,908039,-1,253020,-1,797676,-1,167469,200359,239124,118141,401634,-1,-1,-1,826751,149816,-1,817768,-1,-1,344592,-1,47855,-1,-1,787415,415650,782169,289637,773988,966583,-1,367290,-1,622268,109679,688578,-1,-1,829380,-1,-1,157597,-1,-1,-1,209859,162725,-1,-1,-1,447458,508725,949649,-1,-1,362925,-1,-1,-1,426208,-1,58935,-1,552193,722942,994811,-1,526015,-1,532167,573233,-1,-1,-1,787728,229932,-1,-1,917552,-1,417162,-1,-1,251933,295063,-1,-1,52762,-1,166458,790858,707230,-1,-1,-1,31074,330701,374400,849700,-1,588182,-1,-1,406004,-1,477875,-1,944273,779302,915354,154517,-1,313491,496765,690464,-1,-1,545627,-1,-1,-1,-1,826997,762579,-1,840175,783430,964349,773104,793339,-1,-1,155207,891174,-1,434042,-1,499977,787703,-1,961439,531301,1676,-1,-1,-1,-1,468134,-1,-1,831967,-1,800555,-1,162748,-1,770682,412997,-1,811391,912539,851734,-1,-1,-1,420774,795075,368462,-1,419028,638496,-1,371692,468606,-1,-1,505182,-1,-1,232089,266403,-1,286654,-1,702211,-1,872432,-1,-1,82096,-1,-1,356306,-1,-1,-1,-1,-1,-1,-1,262851,-1,638418,169523,-1,539630,495824,392466,801657,978092,562660,594950,345442,-1,48664,592617,-1,124472,240708,-1,81785,-1,338749,776539,769540,-1,544218,804753,984499,632115,-1,-1,940230,762179,-1,-1,-1,501783,-1,35935,-1,48551,424859,900400,485728,-1,-1,-1,-1,-1,-1,957903,-1,-1,440796,19638,828968,-1,-1,-1,-1,-1,121593,793893,-1,262394,-1,945322,487824,-1,127384,-1,506398,-1,954265,-1,672261,-1,-1,726677,671643,80149,-1,-1,-1,882042,-1,591716,536976,-1,-1,722950,-1,-1,890478,653479,-1,266177,181779,-1,-1,892304,-1,672751,314954,807641,88964,662351,-1,-1,-1,106689,817901,-1,-1,-1,-1,102461,22281,626888,176791,-1,123103,-1,393145,-1,-1,930436,440061,-1,505671,958901,76303,822875,-1,26556,-1,221492,644450,-1,-1,-1,-1,-1,95116,-1,-1,-1,779355,-1,929179,-1,31741,-1,861840,-1,279140,-1,970224,-1,99098,973395,881781,-1,-1,-1,858374,458604,517122,848308,-1,-1,881386,705537,-1,724977,-1,-1,997993,595478,271759,171505,-1,137457,415744,-1,591985,738713,-1,472405,-1,806338,-1,137963,382494,518473,58175,-1,-1,-1,256685,242769,179559,165368,-1,986920,-1,813173,-1,-1,-1,-1,-1,-1,428674,678827,446651,452163,-1,522285,-1,-1,-1,236202,-1,30674,833991,-1,981190,205766,796016,211590,830412,975303,473837,-1,-1,124438,375423,-1,512531,-1,967928,692941,-1,69507,706943,-1,467304,-1,226062,-1,-1,598073,355600,-1,-1,-1,-1,-1,-1,286910,-1,770245,-1,753316,-1,-1,553344,-1,624025,88463,692357,490601,330325,22131,-1,855818,11230,183143,-1,-1,-1,-1,-1,-1,-1,81562,83535,358779,132698,-1,-1,-1,297090,857116,729272,-1,-1,-1,-1,393582,-1,-1,522432,-1,428473,376104,-1,-1,615914,-1,586100,242975,-1,-1,-1,419950,293763,371619,932764,477985,-1,-1,-1,-1,-1,-1,418926,-1,72118,-1,-1,12993,534385,-1,344599,193362,-1,989152,-1,-1,-1,-1,125110,-1,-1,179142,777866,-1,-1,-1,-1,470770,-1,-1,332475,-1,207138,-1,-1,-1,454033,-1,-1,888915,-1,348646,-1,-1,-1,-1,385753,-1,-1,706286,-1,214944,-1,371853,220112,-1,-1,-1,-1,-1,377932,-1,680488,913847,975681,-1,497624,846739,973909,-1,-1,105359,155719,-1,628910,950954,4926,789193,-1,-1,504818,460058,-1,818508,-1,-1,898996,447054,-1,957191,-1,-1,483445,817425,793814,459029,-1,172469,-1,993617,904386,4025,-1,796619,561395,-1,-1,-1,-1,838560,641241,-1,670603,-1,-1,-1,734802,611005,-1,838393,-1,-1,-1,-1,-1,-1,459845,-1,310534,-1,632526,770528,744343,486643,319316,138673,-1,-1,-1,617104,475279,-1,-1,-1,770136,688882,-1,-1,421618,-1,-1,-1,8440,-1,308823,-1,831844,-1,499078,267992,100433,-1,57527,110164,512482,80444,562179,767828,-1,825364,967989,131285,964296,707407,140752,852220,-1,-1,970361,-1,-1,-1,-1,984481,395387,-1,162454,74445,-1,-1,-1,-1,-1,287101,-1,-1,893085,699273,956731,-1,505487,-1,-1,819244,-1,284874,955848,-1,-1,-1,-1,98301,-1,-1,-1,310281,-1,646803,-1,978770,261046,-1,-1,-1,691691,-1,-1,410026,886455,955102,-1,874733,-1,-1,-1,-1,-1,810157,-1,-1,-1,-1,-1,130520,341490,-1,-1,-1,830880,824578,-1,-1,889782,-1,470180,-1,-1,340800,-1,718217,585714,667039,-1,177874,-1,811914,-1,381856,-1,-1,296961,473316,-1,416464,-1,-1,812507,371675,614346,508929,883064,-1,7808,15804,168527,-1,32926,-1,616176,-1,-1,182582,616977,-1,590341,149242,794223,-1,394,-1,9311,-1,-1,888211,-1,-1,914987,-1,683928,-1,96184,-1,995462,537463,-1,-1,3371,90873,-1,983296,111660,182410,436461,-1,312947,-1,-1,-1,181853,-1,426631,-1,-1,-1,-1,-1,-1,904145,-1,250644,507953,-1,-1,-1,-1,621110,-1,711810,59659,-1,412000,-1,858461,-1,-1,-1,460455,-1,-1,743324,-1,-1,-1,-1,-1,-1,-1,-1,639126,973145,240561,80384,714082,-1,-1,520781,-1,-1,-1,274493,298909,-1,933466,661376,516870,460081,26785,562114,-1,612271,-1,45700,-1,506059,73936,-1,-1,-1,767208,357020,63842,344809,236480,663025,-1,-1,771434,38551,204261,-1,-1,-1,762847,-1,-1,-1,-1,-1,-1,-1,-1,-1,367161,973787,997296,434993,838955,-1,182683,-1,477108,-1,-1,757150,673352,-1,139019,-1,440255,-1,586811,-1,-1,-1,779551,-1,-1,322141,383056,413414,528127,90634,-1,730480,-1,971070,-1,-1,-1,-1,782252,582373,-1,949608,560255,79470,-1,-1,663413,-1,-1,-1,-1,-1,-1,-1,-1,674404,-1,913332,693695,838786,267129,788928,-1,-1,-1,822329,-1,-1,738019,-1,843690,664949,-1,-1,258588,126460,93554,-1,-1,396884,540706,833074,354087,257427,-1,-1,-1,-1,913458,-1,-1,-1,578083,362233,458744,774198,922966,124160,-1,-1,635829,284565,759264,345569,21386,764500,-1,606150,-1,-1,-1,-1,-1,490791,-1,-1,-1,-1,915437,618641,-1,915781,-1,-1,-1,-1,657912,-1,-1,-1,147970,583260,-1,-1,-1,-1,465983,296277,-1,-1,653607,467714,-1,555730,-1,-1,605318,851659,515500,911932,-1,-1,-1,37621,487427,584410,388755,443940,566626,594109,-1,729420,-1,-1,-1,-1,671503,-1,814495,-1,968481,893570,-1,786164,-1,517378,-1,-1,615373,-1,692686,397407,-1,246990,-1,995054,389982,-1,594327,446208,121313,399532,762885,-1,-1,-1,558840,-1,-1,217924,891474,136509,-1,-1,-1,-1,274050,-1,-1,-1,-1,8986,160178,-1,-1,-1,107425,14496,654051,-1,-1,494116,356031,962580,86340,69276,681035,-1,-1,56657,-1,-1,663590,-1,-1,-1,579183,-1,899253,-1,37155,214303,-1,-1,-1,392359,-1,635217,828746,-1,543022,-1,37176,379887,-1,-1,-1,-1,-1,927428,-1,-1,-1,976332,-1,-1,715861,-1,-1,332460,-1,-1,-1,-1,819764,912604,786904,-1,474930,-1,138916,-1,-1,667017,272690,690783,-1,-1,-1,-1,154828,520273,-1,-1,-1,-1,-1,950720,744316,-1,377594,-1,-1,219807,-1,-1,488700,639435,-1,231254,531048,-1,-1,-1,323165,-1,578286,166446,-1,-1,-1,-1,-1,324425,882291,-1,-1,-1,233764,-1,-1,-1,137318,-1,930743,-1,709576,-1,-1,701893,-1,681849,551825,426486,471017,-1,825279,-1,311597,230866,-1,531008,-1,-1,13725,15457,238681,-1,81896,856357,-1,-1,-1,-1,430817,679629,843432,459952,-1,328306,376986,-1,810095,-1,-1,912781,250908,-1,-1,648989,630239,-1,753477,712081,-1,710407,391109,-1,792654,739004,-1,220517,660656,695140,309683,-1,-1,38655,500245,-1,-1,592091,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,458522,-1,633914,841015,-1,-1,312715,81209,-1,822381,835005,-1,-1,-1,2086,430728,-1,923478,627302,492205,10516,814075,461998,-1,-1,-1,-1,-1,708350,-1,-1,24424,95825,-1,16926,-1,-1,571383,171862,-1,-1,-1,-1,-1,-1,-1,-1,121028,-1,-1,-1,159454,160621,-1,-1,-1,-1,-1,659255,476880,-1,171116,929809,76826,154960,-1,-1,916450,551238,111216,-1,6854,-1,450152,-1,-1,-1,306205,-1,-1,-1,-1,-1,-1,-1,543435,813546,-1,160558,-1,61567,820555,260529,-1,852308,-1,-1,677689,901343,472920,-1,155762,884090,-1,342624,-1,-1,-1,483770,347627,529757,-1,-1,299440,-1,253290,549928,474131,-1,-1,513164,-1,912472,-1,36748,825377,-1,-1,963984,750930,-1,-1,-1,-1,153817,515625,-1,955416,900872,-1,405423,664139,-1,66852,452449,-1,682440,799054,376532,627226,-1,-1,931271,490803,-1,562441,-1,-1,229533,572983,-1,-1,329380,725554,110168,-1,275979,747244,-1,526503,240742,757631,-1,-1,-1,495377,-1,-1,262917,-1,-1,-1,91374,-1,-1,-1,769236,-1,-1,-1,708049,509377,56573,-1,-1,831984,575080,-1,840402,-1,-1,-1,-1,439698,-1,-1,-1,498419,727610,-1,-1,-1,790234,844607,423327,-1,733464,554239,-1,583322,-1,-1,365212,-1,715514,-1,622989,283629,568620,-1,-1,13445,26381,-1,846848,-1,-1,572834,417734,-1,218063,205448,-1,184422,827526,-1,-1,-1,251899,963741,289690,939459,314737,763109,-1,-1,-1,-1,630184,316232,535702,465370,-1,-1,331405,-1,-1,-1,-1,792358,405941,-1,-1,932953,-1,741489,218032,880530,767862,735046,854650,782400,-1,608210,-1,-1,426694,-1,-1,839848,618847,359233,876694,776148,-1,-1,681707,772254,-1,859827,-1,458889,775375,755257,-1,-1,747007,-1,-1,24798,879038,-1,-1,-1,-1,75291,8094,-1,970185,-1,-1,-1,621656,610104,-1,-1,-1,442296,-1,-1,-1,936947,-1,-1,-1,802216,-1,887267,721658,76296,74214,-1,939485,-1,-1,359072,-1,270389,493093,-1,-1,-1,-1,-1,-1,-1,-1,571825,-1,-1,454899,-1,625350,69664,456833,801870,-1,-1,467415,-1,-1,236432,804914,855823,-1,-1,-1,549880,-1,-1,202128,651958,-1,-1,-1,312305,-1,-1,-1,488648,49809,858873,-1,766259,-1,875776,239407,461297,-1,-1,-1,604559,-1,-1,966171,411661,122218,705644,-1,510826,-1,-1,818571,-1,673154,369897,583966,783714,98124,-1,-1,-1,-1,-1,882366,56872,276815,981857,-1,-1,-1,-1,-1,-1,-1,848080,826757,170648,-1,108748,845042,-1,875393,-1,-1,418490,-1,-1,18389,-1,703402,-1,-1,52238,-1,402996,-1,296548,163489,145114,-1,-1,901657,970783,204507,843287,242206,437890,-1,660994,-1,-1,402075,-1,882094,-1,467357,-1,248412,345248,-1,-1,370088,-1,693797,259412,-1,-1,-1,-1,-1,33542,663232,-1,83560,66012,-1,582192,315535,62015,-1,160641,937109,958636,-1,434658,586561,927947,-1,490939,-1,978200,196830,292452,-1,-1,-1,491438,289221,869884,424402,-1,-1,-1,-1,885799,-1,865133,-1,-1,-1,-1,-1,-1,-1,-1,357503,-1,834545,-1,-1,710601,-1,-1,958009,956586,88151,-1,-1,-1,-1,-1,-1,728076,838468,709623,34531,415155,-1,-1,217687,280803,232879,-1,-1,-1,-1,296902,-1,-1,153584,553084,516363,-1,-1,901493,-1,149998,-1,-1,982905,-1,148782,480059,-1,-1,988470,101441,703871,700325,-1,-1,-1,535339,-1,-1,421799,-1,-1,-1,-1,920234,285916,-1,-1,410085,638341,-1,-1,467296,529020,-1,-1,-1,-1,-1,458102,570375,854178,-1,685328,-1,608290,-1,-1,868550,899350,408747,895110,787601,-1,-1,-1,570536,-1,-1,-1,51117,-1,-1,-1,906868,-1,-1,-1,212374,355225,-1,859741,120113,-1,465216,150111,-1,-1,-1,938992,-1,4588,-1,775940,-1,564268,824762,-1,-1,-1,32430,889543,-1,-1,974214,123494,-1,-1,-1,54515,805479,-1,326094,-1,903060,-1,253501,608757,234483,-1,-1,-1,-1,-1,111705,-1,159632,-1,-1,-1,-1,-1,993057,-1,-1,900238,198373,463618,-1,924132,-1,-1,-1,84561,-1,-1,211355,291340,-1,989987,-1,-1,-1,455489,-1,-1,-1,-1,356999,147024,-1,703148,838355,-1,819408,781825,8757,997766,-1,739305,-1,818389,486994,-1,983884,-1,-1,205649,763507,-1,575731,-1,-1,-1,-1,-1,-1,498354,135336,-1,145268,-1,-1,278479,951165,-1,-1,-1,-1,192507,995397,612295,-1,803211,295243,61017,-1,-1,595429,-1,498489,938389,510884,-1,117661,551036,-1,-1,-1,-1,30771,490430,132607,594568,352138,543144,-1,-1,293030,84070,261602,218280,-1,-1,-1,-1,427327,912060,-1,-1,-1,53580,643297,103429,-1,900220,-1,-1,896251,-1,-1,-1,-1,-1,-1,-1,306451,-1,117432,-1,165093,-1,-1,701646,230549,-1,-1,-1,785904,-1,837000,465253,-1,-1,-1,-1,-1,193865,-1,-1,984716,335114,1596,812221,433861,835969,645395,-1,-1,-1,-1,-1,-1,-1,862978,123217,327067,-1,-1,487044,-1,-1,-1,-1,-1,891388,112264,157736,-1,-1,703953,-1,99273,-1,-1,136542,912523,-1,513984,-1,-1,409891,359513,878526,-1,-1,-1,132139,-1,899466,-1,12045,429828,-1,17900,465685,-1,589323,214363,303866,-1,-1,425754,-1,727283,407254,-1,-1,192535,438446,125783,271300,288424,649684,-1,659729,-1,300453,-1,804964,-1,621326,741932,-1,-1,-1,-1,-1,537428,-1,874091,-1,363993,-1,-1,191846,-1,-1,988378,158985,414163,194199,-1,-1,306697,559022,155087,797121,132731,55497,235895,-1,-1,481496,-1,523220,590005,434976,323957,-1,349596,-1,28028,-1,487008,-1,-1,-1,-1,-1,76606,-1,213389,-1,-1,638653,-1,855413,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,526750,181550,-1,-1,-1,765846,-1,915248,326074,-1,-1,532033,-1,741232,-1,934343,-1,35193,440300,-1,-1,568421,174829,917536,-1,55313,733379,-1,-1,764181,-1,-1,954533,-1,-1,81300,574436,837841,-1,386453,-1,211294,354845,305957,-1,-1,497632,-1,-1,-1,234389,776481,456322,-1,-1,-1,569714,657475,547577,-1,-1,-1,-1,-1,-1,-1,-1,67588,275799,27277,539685,-1,426483,-1,573382,-1,-1,-1,-1,886123,-1,-1,-1,104059,270899,-1,-1,-1,633936,492229,-1,-1,-1,-1,-1,-1,350226,253395,730203,-1,-1,-1,-1,-1,461399,-1,543444,230187,-1,-1,-1,592566,585651,272273,-1,458800,-1,-1,-1,-1,-1,-1,-1,472218,-1,-1,494479,16176,343525,904029,-1,364927,-1,51069,-1,411116,-1,-1,27769,380848,-1,-1,-1,-1,119271,235795,958282,944012,758402,318865,830225,569301,508744,533067,-1,-1,946037,2958,-1,-1,798172,856176,267916,-1,-1,-1,788853,-1,915369,198199,264827,809580,-1,901121,119376,-1,242492,-1,-1,422408,-1,-1,681637,-1,-1,-1,947112,-1,-1,-1,993494,554949,913819,745160,-1,30413,-1,-1,-1,924916,-1,166624,-1,-1,735394,733563,566091,337042,-1,-1,-1,-1,-1,-1,478178,-1,243833,-1,-1,757273,-1,922165,-1,-1,-1,354998,572798,936664,-1,-1,407289,415511,684852,928444,-1,-1,-1,-1,-1,225591,-1,-1,-1,-1,461254,-1,-1,128251,-1,-1,-1,32573,-1,-1,-1,939768,-1,-1,169909,51248,-1,-1,76588,216003,-1,939275,9138,306855,-1,-1,150420,-1,999635,916511,-1,254765,24376,-1,-1,28937,24250,-1,134678,457763,755693,-1,-1,-1,325914,320292,-1,-1,907017,-1,962164,290366,216140,742722,559906,386808,455910,870283,-1,-1,93000,-1,263809,-1,-1,11394,971897,181703,618815,283481,-1,-1,287567,-1,45415,-1,255972,286919,-1,-1,633301,-1,962036,944534,225202,-1,-1,-1,-1,-1,430509,-1,-1,-1,-1,832527,957183,340491,517347,507644,867550,343223,888421,-1,-1,218243,-1,-1,-1,-1,-1,628392,185520,-1,-1,567686,819097,687643,-1,728999,550425,119127,-1,-1,577613,235876,615962,595042,259955,-1,124095,939892,945879,-1,616128,-1,854659,-1,963638,766602,407886,201210,-1,377519,-1,-1,-1,-1,-1,-1,-1,203159,627006,-1,135963,467585,-1,-1,496993,884884,-1,-1,348937,-1,-1,435340,-1,-1,583144,20088,-1,-1,890028,-1,847190,510146,-1,802357,172284,939572,-1,798416,-1,-1,716431,-1,-1,963925,795266,454572,-1,-1,874499,655949,-1,-1,-1,5059,-1,-1,932308,575755,934285,-1,286095,843865,98904,122484,-1,-1,-1,-1,277012,-1,-1,-1,-1,-1,-1,-1,431576,314876,-1,-1,478572,-1,-1,-1,-1,89857,-1,-1,561587,684544,-1,205855,-1,-1,-1,-1,186799,-1,690638,-1,189530,437901,-1,319347,-1,337602,523339,368579,677285,91609,-1,-1,-1,709826,346075,360315,567058,138622,928737,115319,-1,276310,507756,742252,-1,-1,620156,412613,-1,-1,-1,112143,-1,-1,117281,-1,325307,4648,-1,366896,236164,-1,-1,-1,434130,-1,606263,-1,819372,-1,511860,659965,556589,416622,221839,-1,362610,456490,835258,-1,-1,345869,-1,27613,-1,564167,-1,129290,513307,-1,-1,-1,-1,-1,838324,-1,521124,366764,922365,-1,940685,757055,600711,895598,-1,-1,-1,-1,-1,555707,10475,-1,548027,-1,339719,339259,375797,626202,-1,70314,-1,950769,628166,358601,-1,-1,-1,369476,64568,-1,412473,-1,69583,-1,-1,839299,115243,635297,936690,735056,525385,745616,834411,-1,-1,141133,188128,-1,-1,-1,-1,282245,505871,239872,22758,653501,408127,-1,235676,-1,-1,-1,973469,-1,-1,-1,884368,-1,-1,-1,-1,-1,388723,-1,-1,44935,68258,584888,-1,-1,-1,991708,-1,693113,331523,819066,992886,-1,-1,-1,-1,-1,-1,755258,-1,471315,-1,-1,61011,697290,-1,409643,1788,318587,-1,-1,-1,443074,505490,801751,-1,-1,-1,-1,-1,-1,723126,551120,711929,-1,-1,585847,445342,848621,-1,-1,200391,790300,290667,372893,-1,198026,-1,473480,-1,-1,292496,495077,-1,457520,-1,705797,-1,212460,-1,-1,-1,657334,539534,-1,696573,401739,-1,-1,253502,-1,-1,711512,-1,-1,-1,-1,821791,-1,510381,-1,358511,130184,5952,-1,670783,-1,-1,826155,-1,-1,-1,448196,-1,945788,-1,585620,147088,-1,268653,285624,-1,-1,529673,103894,-1,-1,-1,-1,-1,-1,290163,126966,991240,-1,-1,-1,145332,951254,-1,133372,-1,630166,-1,-1,549139,123843,613224,-1,-1,-1,772671,-1,-1,944503,525135,-1,-1,713578,-1,-1,453353,-1,-1,-1,720733,867040,-1,175053,152282,-1,890068,-1,-1,-1,-1,-1,122276,-1,527231,744315,831952,-1,-1,869524,-1,-1,489391,-1,590339,53152,-1,-1,-1,442942,-1,-1,-1,114553,-1,294193,199108,212628,872871,800645,825856,591358,239762,-1,-1,519055,678181,31580,-1,-1,650714,270647,-1,-1,-1,-1,94688,-1,-1,392273,-1,-1,-1,-1,30519,362522,607018,-1,-1,-1,-1,-1,820914,290748,658612,811970,-1,-1,-1,62930,-1,-1,-1,706430,-1,-1,-1,450311,-1,385071,721282,747259,-1,-1,-1,-1,249402,776894,-1,-1,-1,-1,-1,-1,-1,114713,254989,776772,612626,-1,-1,749074,-1,79545,785497,479312,-1,14716,-1,-1,-1,-1,513876,-1,-1,497907,446360,931570,-1,807843,702786,440356,606011,-1,352740,776693,73852,-1,412845,567955,-1,-1,-1,-1,-1,781526,676531,964854,-1,-1,996209,636236,120857,-1,155743,-1,353919,613808,711795,-1,-1,-1,-1,128046,117211,494942,243641,-1,10814,-1,-1,973182,-1,-1,884497,115508,820355,-1,-1,58160,999381,350487,-1,-1,-1,-1,596948,-1,-1,-1,545206,525809,-1,151690,982246,-1,-1,832733,980466,-1,705841,-1,-1,657092,45382,-1,554243,-1,426143,363755,-1,-1,-1,-1,200394,484555,-1,704262,642541,-1,613518,-1,180400,-1,480245,7840,111941,930585,-1,215937,871493,-1,-1,-1,121342,-1,-1,-1,691451,951556,956172,-1,151013,-1,149445,691802,-1,587997,-1,184642,180254,937868,395974,645445,28439,-1,-1,960037,-1,-1,-1,24204,-1,810824,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,722448,-1,-1,-1,-1,936337,79892,-1,844326,177844,-1,-1,-1,488488,775547,-1,798460,-1,-1,923469,-1,-1,632086,-1,-1,-1,819062,839858,253837,-1,-1,-1,975389,-1,-1,876729,320175,-1,-1,-1,-1,104997,-1,-1,-1,-1,-1,-1,202511,-1,-1,713567,-1,-1,-1,-1,-1,624127,-1,424827,411284,-1,-1,-1,-1,-1,503486,-1,-1,-1,-1,-1,-1,-1,-1,969332,-1,929134,-1,896208,-1,97210,-1,-1,438761,258558,-1,325062,378950,-1,22698,351511,675971,-1,397163,-1,483993,503396,-1,113184,45612,700444,362154,-1,-1,807416,665436,-1,-1,-1,115875,883625,-1,-1,254623,-1,901583,93528,855197,234974,824058,-1,834,200924,797192,253232,-1,-1,132472,488209,449227,298256,609217,-1,986928,-1,289727,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,916490,961650,324280,171265,652362,-1,-1,-1,608326,-1,649086,510363,-1,-1,439073,325631,961761,597299,-1,-1,970572,-1,-1,-1,-1,-1,563645,-1,-1,-1,-1,735318,2163,-1,-1,442827,-1,-1,51496,532500,-1,964990,381734,40157,348078,129758,838993,750846,-1,-1,580664,-1,-1,-1,-1,-1,601540,26309,-1,-1,-1,70504,986392,270561,660938,-1,157345,-1,-1,901983,-1,-1,-1,-1,-1,183727,384944,412589,-1,880678,-1,-1,214553,315314,-1,-1,338656,-1,784454,154994,537815,255159,-1,-1,-1,414356,-1,-1,310236,-1,-1,-1,665946,607540,357009,742952,689537,-1,914672,-1,-1,99984,441178,753536,-1,416106,-1,-1,599040,-1,51821,-1,385741,851578,485250,416014,-1,-1,-1,393604,-1,6573,500838,710997,-1,-1,-1,96460,528365,-1,934483,-1,708724,-1,438224,675805,-1,867513,53810,-1,-1,303946,168489,991264,-1,2869,-1,972149,712043,-1,-1,-1,71941,81894,-1,203951,539253,-1,992510,-1,-1,-1,896159,704880,34819,148845,-1,70133,815956,311801,318068,-1,571110,-1,511745,-1,470774,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,92027,-1,-1,295789,-1,731162,-1,939658,829672,520540,395571,570823,276143,-1,-1,710357,69175,540006,990925,-1,-1,797257,-1,-1,766985,512393,-1,-1,-1,-1,-1,196759,635103,-1,-1,-1,162390,104845,-1,-1,-1,-1,-1,172660,-1,620713,-1,-1,621283,-1,693069,28914,543051,141599,651063,-1,154546,-1,-1,-1,-1,251949,979005,266992,778768,884810,451948,-1,-1,-1,-1,344382,-1,-1,614905,160142,311927,-1,-1,771615,725212,284307,81361,-1,814106,-1,561281,788073,-1,654657,332394,994277,773546,-1,-1,-1,419340,838189,-1,-1,495678,-1,-1,248390,109777,-1,876367,-1,-1,-1,537566,-1,-1,516669,588827,-1,-1,-1,822531,728891,715722,145213,947270,-1,-1,-1,839946,-1,92317,176664,-1,736373,-1,690303,-1,170381,693692,351076,-1,106372,-1,733108,659676,-1,392503,119018,-1,-1,-1,-1,-1,-1,466851,-1,95315,-1,-1,-1,-1,476928,-1,-1,660922,192865,-1,566858,388901,-1,-1,-1,340662,177647,830505,812076,76857,-1,-1,-1,159811,971889,-1,-1,301653,-1,-1,570756,-1,635256,174388,580201,476935,611753,992229,-1,-1,170029,-1,424449,-1,109643,765099,-1,765490,-1,662778,-1,-1,-1,492928,-1,414177,-1,-1,-1,-1,862129,-1,-1,854571,-1,-1,-1,70871,881992,186829,-1,621820,836835,-1,61377,135535,194472,940767,-1,-1,989046,393423,-1,-1,-1,855315,814045,-1,35610,-1,553697,-1,327547,219054,-1,972044,306858,901598,523460,160816,112122,266079,500475,-1,285544,120933,-1,-1,-1,-1,851700,971269,-1,783343,-1,-1,535700,-1,-1,-1,-1,-1,-1,-1,897235,-1,562467,-1,-1,-1,610662,485433,917557,114471,639930,-1,-1,912944,521707,401791,671905,340357,276033,722852,733815,-1,-1,-1,110927,419330,381131,900470,-1,275081,-1,-1,-1,23777,-1,170892,619310,-1,-1,411258,201812,298391,936636,-1,38832,80538,-1,-1,-1,-1,-1,-1,-1,-1,36731,486579,73776,917645,900163,902900,371155,187481,-1,-1,545768,-1,-1,611703,-1,-1,-1,-1,600546,-1,-1,981797,614153,175556,936606,-1,-1,-1,911999,412716,847177,341136,-1,797555,597648,982622,-1,712824,-1,508337,970450,868718,-1,940600,341850,-1,726352,-1,-1,-1,-1,-1,-1,897882,-1,-1,-1,323217,-1,308100,-1,-1,-1,917057,822709,-1,-1,931578,822575,278985,-1,439552,-1,-1,-1,586822,334948,-1,62027,479202,-1,349380,183211,-1,735194,884311,250713,637739,230519,493177,18498,-1,605912,-1,371588,840233,-1,45583,-1,-1,559031,-1,-1,230509,941800,-1,725110,-1,-1,869033,-1,809677,-1,612902,-1,-1,511654,-1,464382,706945,231740,-1,997886,-1,-1,174381,132832,647341,693664,585829,761121,152556,-1,-1,366003,-1,975836,-1,653915,-1,737570,586741,-1,-1,940947,846614,632506,-1,70514,-1,475675,-1,465742,29819,-1,658466,-1,701314,-1,774858,-1,109846,-1,757540,315881,690661,662672,172340,-1,-1,-1,-1,129737,-1,199878,-1,435064,-1,-1,670985,-1,-1,418764,-1,-1,-1,-1,-1,241781,213887,365272,778788,234099,299516,733680,-1,-1,-1,68704,818030,630109,121170,977105,-1,-1,845083,936878,-1,650795,509184,-1,720686,770200,657552,50745,525138,-1,525548,477095,900464,311199,365739,-1,401295,519340,-1,902497,-1,138573,-1,-1,-1,-1,453696,-1,447574,-1,-1,-1,-1,618155,-1,-1,-1,-1,-1,-1,-1,-1,135581,-1,-1,-1,792874,-1,-1,373992,445315,957657,950760,246458,705327,-1,-1,320049,664332,526027,62850,-1,865285,97724,635919,50924,-1,998235,9059,-1,887005,101032,-1,548627,-1,748806,-1,-1,-1,986659,-1,-1,545634,-1,-1,-1,-1,-1,121965,-1,322667,298482,478591,939229,-1,-1,-1,-1,-1,-1,753712,-1,-1,-1,879205,843615,889032,363792,434791,-1,427874,-1,731590,246122,594719,137369,-1,524928,-1,-1,-1,778181,963943,668644,753763,62841,-1,814081,564016,974422,-1,873836,340978,118262,980862,-1,241538,-1,664871,426284,606899,-1,142562,548793,845128,-1,718281,-1,-1,-1,472662,836314,667692,-1,350748,-1,468505,260640,-1,-1,360624,545459,487041,567102,180362,545880,-1,-1,207067,-1,-1,8201,59670,-1,815933,-1,983647,197379,-1,-1,671469,-1,-1,316598,785368,669693,761760,-1,-1,-1,962791,842036,-1,-1,-1,733244,-1,-1,-1,-1,-1,-1,-1,-1,608816,366339,-1,-1,-1,78527,850405,448113,288448,21458,-1,-1,-1,-1,349578,-1,377016,-1,-1,-1,-1,-1,-1,-1,-1,881963,249529,-1,-1,611428,377085,500861,751732,442027,625255,-1,903116,244255,-1,-1,-1,-1,-1,-1,-1,587116,-1,-1,427199,229749,786213,840304,-1,-1,-1,-1,-1,791565,-1,710990,-1,-1,-1,-1,-1,655957,774628,123650,334979,374624,-1,-1,72555,-1,-1,-1,-1,-1,888183,-1,-1,-1,-1,-1,-1,404991,-1,-1,650830,-1,-1,-1,-1,586746,773010,-1,408023,-1,-1,393104,-1,-1,405159,-1,877736,-1,808567,-1,328801,-1,-1,-1,696773,-1,-1,-1,-1,360506,-1,459142,447567,938385,-1,368894,-1,294469,-1,-1,460051,345650,-1,242023,752534,-1,-1,-1,900592,-1,-1,-1,-1,778805,203394,-1,-1,-1,754650,-1,692050,-1,-1,496968,407328,920105,-1,738979,648948,-1,966309,-1,565863,388838,702621,435269,-1,724856,713927,380292,405212,-1,202190,-1,-1,34502,-1,362415,568135,152376,-1,-1,757183,340287,656394,-1,-1,546390,496630,340468,-1,420533,852393,6213,-1,-1,-1,241473,260032,850299,60606,-1,572689,-1,260774,-1,-1,998222,-1,467123,-1,-1,-1,92865,752485,-1,-1,-1,538642,-1,-1,798037,-1,707389,-1,323632,-1,-1,-1,-1,111447,-1,547706,265147,-1,-1,-1,920706,-1,361664,123458,893913,76643,739968,989892,569230,-1,32076,282142,-1,314834,320700,541194,671358,415687,-1,643588,965685,18735,785571,157971,424282,278363,-1,-1,919309,659062,-1,488684,-1,761854,-1,-1,401063,-1,800348,-1,-1,-1,-1,187504,994287,-1,259021,-1,249924,813077,-1,-1,489672,-1,747761,-1,587874,-1,-1,-1,-1,-1,120414,55103,243858,-1,-1,66774,434861,795818,177868,452607,678293,-1,663986,-1,499492,340487,-1,108891,-1,44102,144271,-1,-1,-1,23035,-1,712656,811829,-1,882838,185114,-1,125043,-1,-1,-1,988143,-1,-1,-1,229812,-1,-1,698331,-1,123295,-1,-1,-1,-1,-1,108118,-1,970260,509545,-1,719825,791049,-1,-1,198954,750906,-1,783318,58335,266489,-1,332392,-1,621677,9966,-1,-1,660041,164551,-1,-1,611584,594640,-1,492975,-1,-1,-1,-1,-1,577039,-1,104602,603513,-1,872262,-1,-1,393237,-1,-1,79057,-1,-1,-1,-1,-1,472258,-1,-1,-1,-1,120224,943123,-1,308102,-1,235587,883607,576352,-1,-1,860791,-1,687500,-1,-1,451033,-1,126014,-1,104138,-1,-1,105687,586050,-1,-1,122913,-1,105999,-1,-1,-1,-1,-1,-1,507916,578815,-1,-1,676504,-1,38380,-1,42038,998080,-1,21779,974824,873226,-1,-1,776813,886553,-1,-1,-1,92880,-1,382709,-1,-1,-1,611881,568409,259459,-1,-1,108009,-1,-1,136187,545812,-1,-1,623751,19081,-1,313532,-1,-1,374819,-1,354103,236954,-1,-1,728148,610700,-1,-1,149908,-1,189703,-1,558394,59582,762262,-1,280800,-1,-1,646283,737162,-1,-1,-1,421274,-1,-1,-1,-1,-1,-1,-1,581777,824659,-1,694727,732202,-1,-1,26724,-1,-1,-1,588932,89674,293166,350377,-1,-1,-1,901352,-1,880865,-1,740578,4141,-1,505104,492226,912606,-1,994369,-1,489278,-1,-1,634144,794612,14352,96322,-1,-1,516764,614030,-1,270477,588667,654338,164054,-1,-1,-1,-1,-1,459569,479376,-1,99813,-1,-1,-1,125942,771805,499061,-1,791796,-1,-1,10412,517810,564169,-1,476379,693217,264610,571495,756727,-1,556799,-1,721306,-1,946787,-1,-1,-1,431943,357575,-1,-1,910414,936624,-1,-1,-1,633562,356875,-1,836745,955641,390267,779276,163325,207700,-1,-1,851531,-1,-1,915106,-1,-1,-1,-1,669469,-1,369660,211448,-1,-1,91076,-1,-1,-1,-1,810218,-1,-1,795816,841630,-1,358770,354317,566323,-1,363743,-1,-1,-1,-1,804531,-1,579715,-1,-1,342339,876170,-1,166573,945739,194730,-1,-1,-1,-1,671063,-1,587875,-1,601302,-1,220417,396615,208243,93785,-1,-1,-1,-1,10486,-1,490611,336822,963705,432504,-1,-1,886277,-1,-1,536005,-1,322334,88105,-1,-1,-1,-1,140486,-1,896468,569178,-1,-1,-1,-1,-1,-1,929661,-1,60189,771508,-1,121622,-1,-1,437939,49613,-1,-1,-1,469430,-1,149585,-1,-1,635451,-1,67121,255170,150023,-1,-1,7586,-1,389124,35493,-1,-1,785824,690143,-1,-1,-1,211946,-1,166841,966896,290886,-1,-1,447965,-1,-1,96900,98195,-1,-1,-1,-1,-1,-1,812276,774498,-1,846997,-1,574764,282374,-1,-1,-1,543809,-1,579803,-1,-1,955362,-1,900359,107015,669766,-1,-1,-1,402778,-1,508305,-1,-1,670146,-1,-1,-1,205260,-1,-1,-1,357990,-1,228103,-1,-1,-1,71845,-1,955305,739832,175097,-1,-1,-1,375748,583957,557284,-1,-1,-1,774567,279951,623421,-1,764514,-1,-1,-1,469706,-1,96091,483027,-1,-1,237579,-1,903904,169783,231159,616300,888305,962478,-1,-1,839801,351823,-1,10039,778796,-1,504332,-1,439318,-1,-1,-1,-1,-1,-1,640115,-1,129425,750456,-1,644199,599118,-1,478905,19498,72392,-1,416474,997436,17658,-1,133790,-1,578130,987660,222599,-1,303817,-1,-1,-1,-1,816,153607,259345,89471,109382,-1,-1,-1,311558,-1,792027,-1,818991,-1,227802,623876,-1,-1,978126,77450,683297,-1,-1,122090,703980,-1,941021,999308,-1,935931,75319,-1,231070,-1,529173,-1,97514,-1,-1,-1,578577,-1,-1,-1,-1,212223,-1,-1,-1,-1,669240,781519,-1,-1,320983,-1,383458,-1,3368,-1,-1,-1,-1,-1,849366,298369,-1,-1,-1,-1,325238,183805,970472,-1,-1,-1,-1,750575,-1,829353,1008,-1,-1,-1,308931,230953,-1,340496,920587,925853,-1,-1,-1,-1,389229,-1,-1,-1,-1,-1,128173,-1,306580,475112,-1,648433,-1,-1,285431,245023,-1,289613,-1,676607,978972,836143,-1,-1,-1,379022,-1,992761,812413,129282,19157,298917,13569,793215,-1,404434,521789,-1,895474,-1,860152,505876,-1,649446,720428,887709,981300,244502,-1,871335,612473,182940,-1,-1,-1,970219,-1,-1,963631,-1,-1,789197,-1,481952,-1,390683,-1,-1,-1,461644,-1,465518,-1,671726,51876,-1,-1,-1,-1,419823,-1,328560,474108,180354,967383,-1,823303,70925,-1,298065,-1,109534,132186,-1,-1,-1,560252,375811,583034,-1,731067,-1,12026,-1,105405,-1,-1,-1,-1,-1,-1,483541,471299,32974,773165,203460,669444,958121,593677,816068,935903,-1,69442,-1,514404,270540,504855,-1,421456,-1,403109,217227,982699,950855,-1,-1,238995,-1,-1,976963,-1,221875,-1,291623,-1,63289,964692,794846,974836,-1,48913,889939,88462,-1,-1,-1,-1,965424,-1,-1,763087,610880,964290,-1,-1,-1,945143,133826,-1,683472,55408,173588,777956,859442,-1,708288,107274,332869,-1,743849,-1,-1,-1,429491,-1,939886,796326,-1,703971,-1,304915,-1,988282,252512,407973,675453,765527,616522,-1,-1,-1,-1,354925,-1,-1,-1,603676,-1,-1,-1,-1,-1,-1,933627,-1,112644,963355,334336,-1,-1,-1,948302,-1,-1,-1,612208,-1,639074,-1,-1,-1,-1,-1,149942,-1,694439,-1,-1,140854,-1,300876,-1,-1,709151,-1,-1,-1,-1,674964,-1,186206,310140,-1,-1,-1,381548,-1,-1,-1,-1,389306,-1,-1,527100,-1,11692,198695,423517,-1,-1,-1,-1,487518,651620,224516,389133,436851,-1,-1,166139,-1,191688,962260,-1,967468,-1,414112,-1,-1,56711,763531,737199,921315,-1,-1,198978,-1,-1,872572,-1,445426,95357,857373,284076,838839,-1,556163,334938,-1,-1,-1,-1,-1,254703,-1,-1,-1,146638,-1,113195,511239,-1,670978,-1,328006,617266,573375,-1,720565,-1,-1,-1,-1,249790,-1,-1,-1,-1,-1,-1,350208,58121,-1,-1,-1,904832,-1,80997,574680,542633,767754,786760,-1,-1,-1,931020,876340,-1,-1,32523,924061,-1,285678,-1,-1,-1,-1,-1,919694,-1,-1,979038,-1,918319,-1,957321,487876,-1,721063,473106,-1,-1,-1,965628,-1,141580,979602,13498,-1,840809,-1,250527,-1,-1,694025,-1,-1,-1,-1,512038,188500,233038,250272,823069,-1,-1,996402,161049,-1,191716,-1,904965,-1,-1,729480,908333,-1,626093,-1,626804,-1,-1,-1,811229,-1,327357,87717,-1,-1,-1,219594,-1,471253,-1,-1,-1,943426,-1,455234,-1,-1,-1,595954,-1,-1,629654,734501,-1,783912,349248,380301,756236,-1,778896,729025,-1,189079,205805,876332,-1,-1,758517,-1,877719,-1,892485,-1,-1,-1,761557,804011,-1,638868,800328,763942,-1,468217,107752,367755,293912,190470,445789,-1,727761,-1,421672,977277,695813,-1,243386,318763,307812,632960,320226,-1,261911,-1,292956,857849,677340,-1,-1,826396,-1,-1,933028,681703,348013,383279,475843,904298,-1,630027,-1,-1,688213,-1,-1,348017,-1,-1,382229,224173,41653,-1,-1,-1,-1,-1,-1,211669,-1,235313,-1,270946,-1,284677,428602,-1,-1,790622,-1,820295,-1,-1,834253,-1,-1,164618,418572,-1,-1,844738,503722,883542,349541,-1,298758,104859,649814,-1,-1,-1,-1,-1,189801,40339,628538,-1,549855,-1,-1,-1,-1,-1,-1,472739,345812,-1,-1,513071,452450,406642,-1,589086,-1,-1,276697,-1,-1,-1,-1,-1,-1,-1,-1,-1,695358,532007,956373,813779,728722,-1,341988,-1,523795,-1,-1,927069,-1,-1,-1,364828,-1,557863,-1,-1,819037,111852,370806,427600,409413,-1,297262,292230,367720,104337,15277,641745,635470,-1,667481,-1,-1,994565,-1,-1,-1,-1,-1,-1,-1,175539,-1,-1,813372,-1,265213,326281,512826,-1,603387,721053,637265,320489,-1,-1,557125,899902,671091,193684,495731,380438,930480,655180,-1,-1,561403,-1,-1,-1,443724,-1,-1,-1,275084,-1,-1,133831,25767,892337,649947,-1,982712,-1,206960,420963,-1,214586,-1,-1,-1,-1,-1,-1,-1,56499,653032,-1,-1,665902,920880,895768,-1,-1,809062,-1,-1,-1,924062,-1,-1,667127,205398,118672,-1,322549,-1,511535,-1,138206,-1,-1,510185,922564,-1,934102,181763,88260,654229,801122,-1,140874,81155,-1,300605,306519,997280,-1,246597,611333,558473,400670,669634,-1,357139,-1,-1,569251,-1,-1,674671,223879,-1,758780,-1,575543,-1,347314,-1,502488,-1,-1,212630,-1,937318,-1,-1,314223,-1,389598,-1,-1,-1,-1,-1,958443,-1,363060,-1,221507,148903,-1,-1,364578,-1,-1,603145,-1,-1,524615,-1,-1,777239,-1,-1,494985,-1,683598,-1,-1,241116,-1,161062,-1,-1,-1,60830,576064,720492,-1,-1,208419,-1,-1,301263,3029,-1,163130,363035,181570,619034,-1,87294,750411,345679,410529,-1,812149,-1,1187,680018,373971,-1,516381,830503,482090,-1,244141,-1,976077,865417,65213,-1,355096,427040,-1,-1,-1,-1,-1,-1,-1,632819,716644,157632,-1,169742,386127,540892,-1,-1,-1,-1,-1,742950,496972,-1,-1,688983,-1,-1,-1,-1,-1,-1,237859,-1,-1,-1,986267,-1,-1,-1,924789,-1,844473,-1,-1,-1,-1,371513,881202,801992,368128,-1,-1,996991,-1,-1,-1,-1,-1,464650,-1,320184,-1,-1,825708,-1,-1,581731,394211,216449,-1,808493,753966,740908,-1,261926,-1,841989,-1,169579,57410,342070,507487,-1,565034,488144,-1,-1,591937,962302,-1,-1,-1,-1,-1,7741,-1,-1,-1,643691,-1,-1,-1,-1,531436,774090,272640,317854,-1,61379,252926,-1,769001,-1,390200,-1,-1,159732,562379,-1,-1,-1,-1,997022,944763,221226,-1,176820,-1,549836,-1,31234,-1,-1,888269,-1,91858,723957,699375,605841,282474,52836,-1,228593,-1,400030,-1,-1,56070,-1,-1,-1,813397,-1,-1,345633,512553,301949,746585,632,270333,-1,-1,507130,770863,-1,384105,-1,-1,738446,275967,-1,802112,929791,445379,-1,-1,-1,681989,-1,-1,349608,470996,-1,-1,-1,834550,608685,773004,159522,-1,-1,483756,-1,369953,-1,68204,-1,-1,878750,-1,903318,771939,-1,-1,440362,645636,775558,992012,939104,865665,814939,873841,364698,-1,-1,-1,814417,-1,-1,-1,836805,269657,240005,-1,-1,-1,-1,-1,779265,-1,681866,607941,-1,279908,146685,432288,518341,-1,932594,-1,-1,-1,401430,-1,-1,111281,-1,-1,154927,-1,258736,-1,426689,-1,329149,-1,-1,331330,751674,297211,488083,-1,467653,186389,-1,-1,854635,438262,-1,-1,420106,56952,-1,131405,-1,-1,-1,-1,-1,233264,-1,131537,-1,-1,917528,-1,90016,260575,-1,389756,151780,44835,-1,795151,-1,107737,27126,-1,279403,991771,-1,-1,982215,816102,-1,-1,815922,-1,766716,-1,-1,208813,353067,-1,403632,-1,-1,-1,685369,221229,-1,-1,309159,-1,1336,-1,471555,80963,-1,842778,142486,-1,-1,-1,828394,-1,727772,-1,-1,421726,-1,967620,-1,29861,-1,3852,-1,-1,-1,704214,-1,-1,502479,-1,929278,-1,116980,-1,212627,916951,94000,-1,-1,913548,-1,543536,-1,717683,-1,-1,328622,-1,-1,-1,139570,743122,248494,889664,884418,69434,63493,-1,617297,87047,-1,-1,-1,-1,520209,-1,433461,-1,192176,-1,754992,223395,-1,832808,-1,-1,908407,-1,976698,-1,281876,554787,61225,-1,377794,-1,-1,412659,435712,-1,-1,-1,418380,-1,-1,523378,222146,-1,439031,-1,-1,-1,323267,-1,-1,-1,744770,-1,-1,-1,-1,864779,-1,637557,70214,-1,885418,-1,640217,-1,-1,268143,-1,166818,135117,189311,864765,896431,-1,-1,-1,918431,-1,900898,545389,816842,810071,-1,-1,-1,-1,-1,560689,964065,126041,-1,-1,-1,-1,-1,-1,427721,-1,-1,254725,185825,-1,35668,-1,952724,393587,-1,-1,716586,178149,708659,534537,904078,-1,-1,-1,536845,405914,-1,-1,-1,115235,490648,-1,-1,744290,-1,-1,-1,-1,267938,-1,-1,857987,808993,947910,-1,712356,321617,700746,-1,-1,658030,837195,-1,-1,140230,129648,823840,-1,8279,519137,940944,175992,242382,462450,-1,-1,712898,554400,-1,-1,692906,-1,126864,41300,199020,216451,20899,-1,-1,732854,39561,-1,164319,143914,-1,780586,-1,-1,978964,-1,-1,-1,-1,430746,392039,779778,553792,993620,236350,460236,-1,-1,-1,-1,-1,996671,-1,685809,-1,408277,537234,988024,242788,-1,-1,634823,-1,-1,325422,-1,-1,199639,-1,385868,354530,758305,-1,797348,-1,638257,-1,-1,-1,-1,696044,165261,127785,696963,800662,42705,-1,-1,-1,-1,-1,-1,187951,408113,688133,-1,-1,592961,-1,94676,-1,-1,-1,-1,267015,-1,-1,783525,-1,-1,-1,128129,751213,-1,758952,51187,-1,-1,-1,847678,112501,-1,-1,-1,-1,905332,716705,-1,303022,-1,-1,314686,601344,508363,410174,119122,301097,-1,844051,-1,-1,-1,163917,523396,-1,97845,-1,988987,-1,-1,886582,-1,-1,774747,-1,-1,953575,208704,-1,747938,734477,-1,821460,-1,-1,705556,139507,871099,526202,-1,-1,922137,-1,-1,-1,-1,126578,-1,479658,241973,-1,-1,274524,-1,-1,-1,-1,-1,-1,-1,-1,175066,742349,116084,965667,-1,-1,-1,114132,-1,-1,-1,-1,-1,-1,860919,-1,-1,-1,-1,-1,139527,271428,518667,-1,-1,42605,85936,907524,273896,-1,123881,-1,661195,742066,461495,614547,99175,-1,283680,-1,284391,-1,-1,-1,-1,637920,27319,-1,-1,745028,-1,-1,-1,861183,881236,-1,-1,-1,-1,631531,-1,-1,366069,-1,38413,-1,-1,-1,-1,-1,806035,352375,-1,-1,-1,325203,970809,-1,898985,-1,-1,-1,819928,-1,93854,250277,-1,-1,-1,690420,341693,427294,53742,927718,987059,-1,-1,-1,-1,-1,-1,-1,-1,432564,-1,849089,-1,677589,777892,-1,957983,77757,-1,410220,-1,-1,-1,991429,92781,-1,356732,817108,137725,-1,899388,-1,126430,-1,-1,705865,489487,389571,-1,150110,-1,43736,-1,157978,215623,-1,-1,271750,509047,524319,127676,736273,926658,-1,46380,631503,670605,291123,-1,655070,-1,747521,119444,716384,998986,447966,-1,-1,752520,-1,-1,-1,-1,545914,-1,-1,-1,-1,-1,802713,98550,-1,591340,677045,-1,-1,-1,-1,263757,202525,127861,282623,733827,-1,942649,-1,-1,-1,-1,362204,-1,-1,834930,-1,-1,-1,-1,187448,-1,-1,-1,-1,504390,80768,-1,129292,-1,-1,-1,204118,675671,74138,505685,-1,-1,-1,757989,450534,649893,982970,353766,-1,463154,-1,777606,404142,41466,-1,-1,296230,706189,21500,-1,757764,417371,96158,685117,420088,298692,182672,-1,-1,-1,-1,93149,248101,930387,338479,735045,-1,845744,-1,18298,140162,583704,703879,-1,976420,993376,141192,255477,394487,-1,-1,-1,-1,771643,393907,338151,-1,791595,-1,468242,-1,754046,-1,370173,994237,652697,622429,-1,-1,935477,67521,-1,-1,-1,11595,-1,861839,-1,-1,120345,467925,-1,220087,839964,-1,-1,912259,461432,-1,-1,119860,681236,-1,-1,147407,-1,-1,101320,377823,823343,252893,-1,-1,-1,696127,993918,218939,336122,514580,775816,921823,-1,78847,128928,-1,-1,326636,-1,194007,-1,296089,-1,-1,12562,289947,212827,474082,-1,-1,-1,-1,527705,369126,402271,-1,702231,989110,22510,639984,870473,120302,-1,535525,-1,308323,683033,260297,518582,142890,-1,-1,171300,-1,60439,734519,-1,-1,277594,-1,-1,-1,-1,640262,-1,483122,-1,145964,-1,936569,-1,281777,542674,-1,453182,116264,-1,-1,-1,507948,-1,402329,-1,904958,-1,-1,-1,391189,406327,604546,-1,-1,-1,499787,910594,760829,-1,-1,874992,-1,767260,965622,310035,-1,-1,264647,-1,-1,-1,-1,-1,567988,-1,-1,679295,-1,-1,62766,129835,856151,352332,-1,-1,-1,329578,-1,541947,287994,-1,517602,793345,-1,33901,242802,539539,169442,898698,-1,733610,844124,-1,37834,-1,-1,-1,748365,684779,-1,556317,-1,870230,-1,-1,237693,414772,-1,-1,-1,741629,171410,-1,430127,872666,974327,-1,732781,999504,289156,362909,743023,17155,-1,624956,66117,-1,-1,529714,-1,195110,-1,-1,-1,258470,214915,647126,-1,571889,-1,101860,730064,-1,973071,-1,-1,-1,-1,-1,-1,-1,83403,808242,-1,-1,-1,-1,-1,-1,56469,455005,194371,-1,35176,-1,-1,203545,-1,517802,331581,-1,705836,727897,164451,-1,-1,-1,916622,735048,-1,-1,-1,654445,90351,-1,-1,-1,681969,-1,845404,102493,-1,-1,-1,-1,-1,786525,909514,-1,539690,797902,-1,766467,876087,-1,813178,-1,109767,448645,957649,270318,-1,-1,106284,118789,20051,-1,62281,-1,-1,556184,-1,354929,-1,517609,-1,-1,755056,-1,-1,330095,-1,773052,392196,780049,735855,-1,-1,-1,-1,-1,752314,475594,-1,-1,87463,-1,169884,352340,-1,-1,-1,-1,-1,-1,821303,-1,-1,-1,-1,530881,469425,-1,159918,900796,-1,454297,152280,-1,801316,-1,-1,-1,381371,-1,-1,-1,700357,-1,-1,700907,-1,-1,-1,701683,192601,-1,328776,898047,-1,-1,7215,618012,-1,407986,-1,958687,235495,-1,538127,-1,-1,671157,-1,-1,-1,-1,552066,-1,-1,-1,-1,-1,-1,273285,-1,153707,249602,-1,-1,79673,-1,47686,-1,-1,-1,730060,789917,530217,90829,-1,-1,-1,261287,-1,618359,244935,54371,-1,120943,610249,930627,-1,-1,397334,-1,972312,-1,872832,716310,-1,-1,-1,938851,-1,-1,-1,282239,533800,-1,996243,-1,371962,-1,-1,417821,415623,593576,277109,-1,-1,-1,792992,482137,-1,320313,-1,-1,477471,806214,-1,-1,-1,-1,280830,234716,-1,71927,-1,363000,-1,328923,-1,335726,-1,-1,333321,996465,-1,-1,462365,-1,-1,763362,-1,-1,21021,-1,-1,173431,811881,-1,600126,800433,593726,-1,703024,-1,494204,320671,402543,-1,-1,63761,-1,533421,588697,-1,734703,-1,435030,-1,-1,-1,565596,-1,-1,-1,653630,-1,-1,311451,-1,-1,507195,46479,631695,-1,736439,893577,414241,-1,-1,-1,302779,596618,496385,-1,-1,-1,426391,576939,-1,212711,518363,134402,473059,-1,857493,664734,-1,742699,767626,-1,859979,375545,-1,-1,-1,-1,-1,-1,-1,-1,-1,102368,227659,-1,-1,294163,-1,-1,-1,-1,-1,-1,846102,646891,-1,-1,-1,296626,556180,10888,434353,-1,-1,-1,-1,-1,104957,-1,-1,200361,-1,-1,980002,-1,992106,-1,-1,951985,655336,935246,-1,173353,884091,51391,75593,-1,205701,939498,245845,473218,653643,747655,585137,364046,417548,-1,-1,-1,-1,-1,68013,-1,254404,906950,142091,-1,448927,-1,-1,914708,-1,985750,104466,684247,-1,980294,349639,-1,316262,-1,639869,-1,-1,-1,-1,-1,-1,-1,997171,190167,217702,-1,117596,17474,363715,-1,981447,-1,458032,-1,-1,41239,429751,-1,848029,496569,-1,592771,15362,-1,339825,-1,-1,-1,512346,-1,-1,618176,371188,-1,-1,-1,-1,-1,349413,848530,-1,349367,714025,-1,384730,233992,170189,990417,-1,287102,455636,-1,406234,492632,-1,-1,-1,916506,21322,-1,-1,642881,11041,285543,-1,-1,746390,-1,-1,-1,548791,184614,280930,-1,-1,-1,-1,70139,17551,222510,428158,-1,-1,-1,-1,206533,-1,-1,-1,928310,-1,-1,609599,-1,-1,-1,406915,921589,-1,-1,99469,390017,505387,849237,-1,423376,-1,917958,71437,541115,241245,551342,411015,118830,803575,489491,445550,-1,-1,-1,-1,-1,9166,791977,896554,-1,-1,920324,-1,-1,-1,-1,129513,585643,228176,603862,-1,-1,217584,171270,835462,671297,496105,998571,-1,-1,233998,530386,-1,-1,343452,444596,841249,-1,-1,606851,-1,-1,-1,509770,572617,760130,835479,-1,413855,-1,561255,-1,381101,-1,653085,784826,-1,102644,965077,444007,124490,-1,-1,161465,-1,-1,39970,-1,-1,326481,846700,677412,674055,-1,-1,-1,-1,307688,72077,-1,-1,-1,-1,-1,161147,450965,-1,494801,-1,-1,-1,224176,349837,-1,-1,669702,-1,96272,-1,343279,762812,147198,979277,852414,472249,-1,-1,987800,-1,-1,-1,787039,-1,193422,-1,47873,2950,-1,966640,442030,-1,245719,-1,-1,869265,-1,154118,-1,-1,-1,-1,-1,561717,953833,658782,231009,810082,-1,733714,958452,-1,-1,938520,-1,-1,-1,375503,95286,591365,33201,660737,663266,262158,780059,608936,-1,-1,-1,246994,547752,245503,-1,135545,932562,381095,-1,57593,-1,-1,-1,-1,-1,-1,233131,-1,-1,-1,270414,-1,-1,-1,-1,794827,298928,292352,-1,970481,-1,-1,597225,753052,-1,-1,-1,512914,979877,447391,232246,-1,-1,739211,540599,-1,287915,694295,73870,441915,-1,831080,872200,-1,743643,783768,414704,664464,647660,-1,704458,799147,-1,-1,512167,-1,757641,616338,-1,-1,-1,-1,113556,-1,154647,60206,237159,438314,235555,963289,-1,293163,-1,-1,-1,958406,-1,-1,-1,-1,442953,565515,-1,910849,-1,205380,962309,427572,719828,-1,-1,307711,443960,321029,475497,-1,5048,-1,-1,141118,916724,-1,191335,664440,833391,-1,829922,-1,989774,-1,-1,-1,442211,-1,-1,110901,568696,151580,851369,-1,228248,69581,-1,436130,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,535641,-1,-1,-1,332317,-1,801961,827756,-1,-1,-1,-1,-1,723099,-1,-1,-1,19617,977039,569692,253555,260674,755124,256251,-1,-1,136835,-1,748647,715960,861200,847482,70630,-1,-1,325744,311609,939617,236371,147158,125490,33401,-1,628993,249040,-1,296375,644773,185951,105904,-1,-1,649748,498675,-1,280831,337458,409664,162318,125571,-1,663859,321351,-1,-1,193741,-1,405912,406947,699677,661518,721919,-1,16309,175854,934121,-1,-1,737106,497775,-1,244954,-1,-1,832052,171304,-1,-1,50914,514838,65672,-1,-1,-1,521274,-1,490180,272777,-1,-1,-1,-1,-1,-1,-1,-1,-1,78202,-1,-1,-1,-1,-1,523937,982300,-1,892423,655958,989013,181060,716664,-1,-1,709673,-1,-1,-1,-1,-1,-1,-1,213368,-1,574905,-1,-1,-1,676876,-1,-1,766920,467978,-1,648635,-1,-1,870484,-1,8465,958657,-1,481328,234467,546212,505795,-1,218661,-1,-1,-1,467494,599241,-1,225513,-1,-1,347240,-1,729261,-1,-1,-1,445451,-1,505166,-1,501249,-1,183882,647192,17417,-1,719850,803086,449075,726447,561311,64990,-1,442672,-1,776998,-1,-1,782644,800184,626567,-1,-1,956120,-1,-1,-1,245553,699807,52473,168507,-1,394141,156864,290111,682959,609235,-1,368170,-1,-1,971892,302031,986898,189940,-1,-1,-1,654479,65331,398245,-1,-1,353270,-1,-1,-1,27953,948934,-1,-1,320368,803309,-1,726678,599057,-1,619550,236130,712870,748685,-1,-1,-1,102766,685844,147557,-1,659159,-1,137303,-1,-1,514995,-1,745576,752089,814483,-1,116421,705194,-1,-1,-1,934960,-1,-1,-1,-1,-1,768488,761058,883868,-1,-1,738022,664091,980289,255125,658403,959827,-1,573338,798241,793372,986141,-1,-1,-1,910773,-1,-1,-1,-1,-1,313817,-1,455061,530178,-1,-1,-1,815099,-1,-1,-1,-1,-1,-1,-1,26383,-1,-1,101096,619247,-1,791825,-1,129048,-1,-1,-1,-1,-1,616921,-1,708657,-1,-1,-1,222379,-1,817821,632284,796529,324436,-1,-1,861518,-1,513271,-1,-1,-1,982586,920257,-1,-1,-1,340935,664489,-1,-1,186304,166027,-1,-1,857489,877958,-1,788830,54122,-1,924241,-1,-1,575314,529402,996636,218129,-1,-1,508605,271167,586152,-1,-1,-1,170382,-1,153780,-1,-1,998262,548865,-1,907561,687993,314197,-1,464094,-1,-1,-1,-1,-1,792909,823574,766984,363516,745709,398264,311265,-1,353038,865608,676851,-1,797526,703693,862092,219228,-1,448572,-1,803559,32596,862472,-1,-1,364283,-1,819343,-1,-1,863324,-1,-1,-1,-1,843236,-1,-1,-1,81540,428046,93443,-1,185017,520639,-1,610143,357854,574394,-1,-1,23335,588761,761319,-1,856164,199094,960405,-1,-1,-1,202879,-1,-1,565428,296468,-1,-1,-1,561946,679146,-1,-1,-1,-1,977030,88564,266074,-1,835652,-1,937866,680781,-1,-1,735815,-1,-1,-1,-1,540703,264329,861357,-1,-1,468954,-1,668145,274785,968528,-1,-1,601566,34808,-1,-1,962885,-1,-1,663793,-1,-1,-1,525302,-1,650856,818824,-1,-1,554230,713256,878490,-1,-1,940518,-1,-1,-1,953698,-1,379537,-1,-1,572737,-1,-1,-1,-1,986034,525625,-1,867318,-1,-1,568218,639907,99208,-1,824080,-1,-1,-1,580629,560187,-1,475958,-1,964044,-1,757814,382948,-1,-1,-1,616534,509714,-1,609186,979355,-1,-1,455003,255479,-1,-1,-1,140961,-1,154312,-1,24565,636121,770113,227737,-1,196224,-1,599663,613697,-1,-1,-1,381458,605126,-1,753799,-1,818175,177718,-1,-1,-1,-1,698034,-1,867937,-1,-1,-1,783275,132044,-1,-1,202314,99821,-1,-1,332858,-1,272868,324386,377695,-1,-1,241559,984371,-1,-1,54495,850531,-1,209897,558499,-1,-1,-1,716236,-1,-1,-1,238584,44013,179607,1419,696836,686582,954869,-1,-1,-1,652390,709237,-1,-1,632447,891935,-1,-1,888394,613773,629484,571398,538511,-1,-1,-1,488475,107573,338622,-1,213609,63866,-1,-1,-1,402876,281546,-1,801632,495704,-1,-1,10320,546490,317165,144071,-1,87455,39080,-1,-1,506486,43504,913567,-1,138566,445180,523443,952510,296807,-1,-1,-1,693240,87821,126321,371827,-1,-1,-1,532050,-1,911751,383162,593474,806704,-1,562952,-1,837026,-1,-1,-1,216833,-1,494376,-1,804602,-1,-1,501449,-1,170418,763623,711852,977861,65256,-1,542428,-1,654141,589019,-1,804082,93017,-1,615351,-1,-1,-1,-1,408589,-1,-1,-1,-1,903578,-1,411066,-1,-1,-1,-1,-1,-1,381256,-1,-1,281262,433900,-1,-1,359780,297226,-1,-1,-1,68828,-1,-1,551672,-1,874750,-1,345502,789314,-1,-1,-1,874660,-1,816313,-1,-1,443789,-1,648503,520708,966983,-1,419691,287100,75808,-1,-1,267262,489753,-1,102105,644352,-1,-1,-1,-1,-1,-1,-1,720873,-1,720159,280945,651736,86545,-1,473748,-1,-1,-1,-1,-1,787302,-1,566549,426147,-1,-1,787526,-1,662633,494600,153076,-1,-1,903017,77035,952789,-1,-1,-1,739222,170715,672346,734458,-1,250339,128617,45521,913033,778508,473288,219950,582653,622647,694843,-1,784488,575955,-1,661318,663327,921107,-1,-1,139478,-1,-1,-1,771769,-1,-1,-1,822147,-1,386156,-1,411803,-1,878552,-1,76721,188722,-1,-1,681131,-1,-1,-1,-1,-1,989027,233449,124875,-1,938323,-1,-1,-1,-1,226530,-1,-1,679562,355815,401843,-1,926059,260057,696962,884967,567726,878004,-1,-1,577092,333938,-1,-1,-1,-1,929082,221634,-1,54254,-1,-1,-1,773543,-1,369724,-1,-1,409347,-1,7458,292481,-1,197180,-1,-1,-1,452494,976499,947488,-1,-1,159007,-1,942020,171936,860947,-1,-1,306851,-1,489228,-1,-1,568362,-1,-1,222109,252261,948315,269873,613955,359353,499921,718473,987458,-1,551729,971354,300830,94357,-1,739231,-1,650295,431044,201735,527035,-1,578808,307246,152026,517488,368711,-1,374711,252662,335708,212231,758285,741144,427434,-1,802126,772991,-1,-1,860701,-1,738108,-1,487343,-1,128506,898907,455490,792688,-1,-1,-1,300580,877255,-1,782418,307426,336073,-1,-1,-1,-1,573077,-1,946434,34010,-1,-1,203144,520907,-1,-1,-1,803018,-1,532562,-1,-1,-1,179031,-1,581998,122483,-1,-1,193187,-1,-1,414915,-1,354588,265989,-1,-1,704232,-1,-1,947842,619399,-1,-1,813938,-1,-1,744530,584997,-1,596902,205507,518155,714029,947525,290879,823087,597101,722975,-1,532794,337722,548268,38920,736814,264793,-1,142339,-1,961064,-1,-1,-1,-1,-1,-1,678056,-1,-1,-1,15633,707870,548600,716619,138853,-1,-1,-1,984886,-1,-1,253074,-1,171074,521239,301131,-1,806133,49989,138902,-1,88110,322942,-1,600528,577993,-1,180730,214062,259387,843330,-1,774813,595836,-1,-1,-1,868046,667067,-1,-1,-1,-1,-1,-1,193759,-1,267928,-1,-1,-1,940611,16681,-1,834184,-1,972484,454162,933116,-1,-1,-1,-1,103967,-1,-1,426095,69636,-1,-1,837764,420441,419514,371337,840721,517586,-1,999091,257646,122566,-1,208593,290202,641405,-1,14344,-1,-1,-1,95600,75082,-1,-1,911478,588654,947421,-1,-1,-1,566306,-1,-1,810249,839861,320332,830574,19298,979156,460872,280242,714226,-1,-1,530863,827169,958392,442468,941953,-1,540364,294838,481156,523784,-1,-1,-1,-1,418418,404922,-1,-1,-1,160394,154926,980782,-1,46007,-1,849321,689587,500848,39617,61626,155909,940267,147013,-1,424055,968037,656143,454422,380906,324015,698651,84174,196983,374417,-1,924768,86437,-1,262709,429388,958775,766248,581391,-1,108206,221744,-1,161875,-1,530646,-1,102239,965593,-1,-1,-1,-1,-1,567783,-1,66959,-1,-1,-1,391773,828616,520933,-1,-1,685310,603074,412272,611772,682149,811507,973390,-1,-1,748388,718503,-1,337221,793819,385819,888863,-1,-1,414941,267120,192370,961026,-1,334857,773354,-1,-1,-1,988079,-1,354837,-1,-1,-1,114426,-1,-1,-1,117020,574882,490787,-1,995335,-1,-1,801610,-1,-1,872475,804968,-1,-1,614397,934125,-1,-1,960939,-1,-1,291243,-1,225349,-1,-1,542212,-1,-1,213234,206406,-1,485795,389297,-1,470438,-1,-1,-1,-1,785201,10457,-1,609575,-1,207948,825249,834556,752121,-1,299822,-1,683010,797130,-1,638446,-1,404993,661104,463278,-1,-1,616687,-1,591201,-1,120001,-1,-1,170460,610056,937255,645266,450878,431456,-1,972935,384095,-1,-1,368571,117547,498481,527633,-1,-1,497891,719023,881633,-1,-1,-1,520092,-1,949424,-1,-1,-1,-1,531958,-1,22085,-1,-1,-1,900346,-1,128147,-1,-1,786563,-1,-1,23388,-1,-1,836953,-1,-1,919162,307131,248059,279517,-1,311898,-1,-1,839748,385423,-1,-1,81984,63208,61583,760435,677211,-1,27844,733410,601680,843953,-1,140332,489172,-1,-1,213241,41937,-1,121140,475740,223079,188217,867537,331935,-1,-1,308615,339554,-1,-1,886691,-1,-1,439366,704836,43119,837851,-1,-1,550682,-1,-1,-1,764310,-1,94457,680708,-1,252365,144257,273233,-1,-1,30167,69716,-1,-1,712170,-1,-1,787944,-1,3663,383392,-1,814309,832040,-1,-1,-1,-1,761237,365030,327101,-1,276320,84579,-1,-1,-1,90031,-1,-1,907810,371037,-1,-1,522032,638581,236225,153910,225120,256646,-1,6844,-1,-1,134620,-1,866347,45057,-1,-1,97557,371424,-1,639049,-1,56235,-1,-1,833460,189532,244820,-1,617214,-1,929104,-1,-1,-1,38435,-1,-1,31989,475521,-1,-1,-1,-1,95821,350777,826934,813958,806575,-1,-1,385649,-1,451637,859931,585437,985709,-1,-1,-1,-1,-1,-1,944786,656779,676718,-1,484008,83981,-1,596884,9688,-1,502227,833963,951969,712049,34787,303786,-1,341336,907547,-1,214217,456049,920923,225450,-1,722945,-1,-1,-1,717349,777413,-1,366562,540649,520161,790659,242522,-1,-1,14193,-1,201036,217574,-1,-1,111932,950002,452111,948364,117089,792970,-1,646921,246843,74672,-1,-1,-1,885572,241703,652111,-1,431048,438064,761376,812837,752368,417992,983680,822458,-1,964825,444184,-1,983071,-1,914990,-1,-1,27621,-1,265835,515470,-1,683805,-1,-1,130259,844978,622239,600439,-1,-1,-1,-1,-1,422353,836945,-1,-1,-1,-1,449820,-1,-1,574699,-1,310612,-1,-1,394678,935756,-1,300743,-1,-1,916514,595463,-1,-1,829303,-1,753819,913863,-1,867730,198945,-1,755352,-1,373779,928194,-1,481586,-1,-1,120151,626902,-1,733743,918531,393994,-1,435297,233789,738704,-1,-1,-1,-1,498461,484230,995952,-1,-1,701008,-1,-1,263512,657239,778532,937409,-1,-1,895320,-1,-1,-1,852852,-1,423541,-1,536191,-1,317369,-1,-1,-1,391341,-1,892240,865889,12954,-1,-1,-1,884471,842741,-1,131878,599483,539517,-1,839392,895045,-1,417919,-1,-1,-1,293353,-1,567557,647599,474186,541663,288264,-1,746587,181958,-1,800635,563551,488505,-1,968862,527090,899208,322294,805509,-1,-1,-1,430527,537467,503416,371722,-1,-1,-1,-1,351053,-1,-1,63272,-1,-1,-1,-1,-1,760188,415429,780693,511728,-1,-1,-1,517333,-1,688828,217536,-1,-1,605355,694193,-1,584271,675287,-1,242838,-1,631659,775104,-1,571477,-1,-1,-1,813789,-1,-1,-1,-1,-1,957304,928932,523419,420546,452166,-1,-1,907644,758861,-1,929471,-1,814952,624691,-1,-1,-1,-1,-1,-1,-1,176038,-1,924600,325393,901987,-1,-1,622865,28887,539356,-1,-1,-1,913775,-1,-1,765674,-1,-1,205770,-1,878266,512257,-1,585103,207344,-1,-1,-1,-1,975491,-1,520384,-1,-1,-1,-1,-1,-1,-1,-1,945650,838435,984513,734261,513453,-1,284751,677289,-1,469109,-1,530697,376662,534199,638975,-1,809192,-1,336542,-1,283258,954113,-1,-1,703663,906862,-1,516536,-1,-1,834748,-1,116338,657661,-1,-1,-1,-1,-1,-1,859280,614165,-1,156295,-1,-1,611694,112882,892773,-1,-1,-1,310241,-1,410433,931643,69989,508429,561208,509951,-1,86003,-1,-1,775374,-1,638490,807399,625361,985951,950755,-1,-1,-1,-1,-1,808294,-1,-1,-1,35141,-1,782459,209896,446469,-1,-1,-1,234637,932144,-1,179165,333833,965109,931509,201586,-1,834787,-1,-1,157869,652786,-1,-1,-1,298258,392955,-1,593005,413632,-1,440018,606434,506453,904616,597454,83522,-1,-1,-1,-1,-1,701533,84335,-1,-1,-1,-1,683678,100610,782062,-1,-1,24577,742676,-1,-1,-1,-1,-1,639627,-1,-1,-1,826956,-1,950759,50023,-1,-1,-1,-1,394376,164359,-1,-1,216659,-1,586184,202593,-1,806425,-1,-1,187277,414361,-1,802866,-1,-1,557088,867807,848796,681652,744517,103884,651729,834135,-1,-1,-1,296861,459340,268432,-1,-1,-1,81189,329630,-1,363478,-1,-1,-1,-1,941339,-1,654611,285350,176814,-1,-1,-1,-1,-1,349946,-1,576176,336692,-1,994409,-1,759083,-1,92733,389156,-1,633327,-1,48872,-1,-1,-1,-1,731846,118087,-1,561203,753913,-1,-1,-1,-1,633587,-1,611733,844598,-1,-1,-1,247816,389805,346930,-1,869364,-1,-1,-1,271433,240659,226400,164252,460744,-1,-1,223499,-1,255482,149331,684425,606211,-1,331390,-1,-1,349905,239987,109020,827112,61984,185276,-1,-1,-1,-1,-1,776551,958347,-1,197914,613101,-1,682383,439868,-1,-1,-1,929944,761114,-1,116447,-1,655880,-1,-1,947482,-1,-1,-1,-1,-1,-1,-1,75074,-1,782316,631138,578047,910918,-1,-1,-1,74778,-1,-1,845988,-1,555003,-1,975027,-1,-1,984213,871319,102345,63173,-1,-1,936640,-1,-1,181456,86697,-1,-1,175098,-1,666946,775544,-1,-1,-1,-1,-1,505167,246445,640187,-1,811856,-1,-1,538518,597074,-1,-1,757796,-1,53772,-1,121917,696223,-1,181005,-1,756015,-1,-1,-1,-1,654933,811926,-1,443342,967463,-1,188753,-1,-1,863261,400521,-1,550718,199026,-1,-1,-1,-1,-1,947649,-1,439642,-1,660354,494310,-1,-1,886761,-1,437162,346895,975257,456520,202131,267768,-1,36846,143607,-1,-1,190048,-1,636976,570770,712136,55634,373188,-1,746525,511295,-1,-1,-1,880300,-1,383024,205368,89697,125794,-1,-1,-1,911937,-1,-1,119994,-1,59841,-1,117807,603151,476990,814728,-1,155454,261060,-1,-1,-1,-1,775999,724503,-1,323263,-1,902407,-1,-1,-1,-1,925783,-1,-1,197616,-1,-1,529963,963958,384963,-1,-1,-1,775370,916785,-1,737520,-1,-1,-1,-1,-1,788959,621323,-1,-1,790762,-1,330176,-1,946536,233513,-1,823265,-1,-1,-1,502079,-1,163964,926853,768038,-1,-1,-1,-1,617876,-1,557635,343798,-1,890304,793971,-1,66698,-1,822704,451209,180627,490149,-1,-1,-1,-1,-1,-1,199668,482720,-1,-1,-1,414900,-1,-1,-1,159742,-1,-1,-1,-1,-1,-1,-1,743741,713382,65437,-1,-1,553778,854341,-1,816756,190941,-1,849686,445989,686486,241611,-1,-1,894678,-1,-1,489032,83977,-1,752876,144023,-1,631334,-1,280604,984293,206739,761159,185484,-1,-1,-1,-1,732163,-1,570004,989068,-1,285897,180566,913518,102247,33162,125933,-1,462818,912347,49591,98510,-1,757454,-1,214525,-1,93985,-1,441070,567460,-1,-1,363789,-1,-1,-1,-1,-1,-1,826786,496610,-1,50960,-1,-1,854157,737429,411536,-1,-1,512313,-1,-1,162256,635009,-1,-1,-1,-1,-1,-1,-1,-1,329073,-1,562143,-1,943134,27208,-1,245581,-1,630346,-1,351403,-1,-1,948809,626931,908573,-1,953586,-1,105804,218043,-1,328054,219098,-1,913326,906539,-1,-1,810967,384403,-1,525808,-1,858908,-1,-1,-1,513389,473523,-1,-1,-1,434799,-1,230466,-1,255155,61135,-1,-1,665942,-1,192521,-1,-1,764240,-1,778039,386970,98356,4687,-1,420866,-1,653916,-1,-1,-1,795224,-1,648170,263575,-1,289519,811607,512066,115133,-1,-1,97224,544650,820043,300326,-1,363688,-1,174083,918988,-1,306037,-1,-1,807498,158732,518677,-1,795267,-1,-1,-1,-1,986858,63573,158225,970529,434967,857471,-1,572278,547618,-1,464689,928937,-1,877983,227532,961146,802920,457958,777067,760064,119416,-1,769097,503458,665137,251285,408089,-1,-1,968467,-1,954250,746578,-1,-1,931028,-1,-1,-1,770879,114048,945755,369728,-1,282441,-1,-1,422706,343848,442608,-1,-1,670948,520383,-1,-1,707809,-1,102776,939256,-1,-1,664315,862491,-1,935873,528848,-1,-1,-1,-1,285554,975274,949168,354397,786794,247324,953127,672056,313423,-1,-1,-1,41877,933235,-1,-1,329138,502015,9254,179079,14999,-1,654288,442564,691075,184937,842668,81511,83127,837813,-1,-1,-1,21754,867497,339291,236191,-1,495936,999292,-1,-1,773333,-1,335747,34354,9239,-1,962871,-1,448101,-1,-1,-1,156569,242518,159207,-1,511122,-1,-1,-1,685931,331747,719279,-1,-1,-1,-1,-1,454279,484404,-1,-1,442132,247197,-1,723355,-1,215342,357315,770911,973701,-1,737127,406381,968197,329603,-1,569468,-1,-1,-1,246677,630935,-1,-1,266315,693755,858929,552355,776641,-1,408242,-1,532974,852432,461142,-1,921900,996303,96344,324514,-1,-1,-1,388593,-1,-1,403202,-1,338436,112439,875286,308526,-1,15891,-1,-1,936748,11888,-1,315066,309003,-1,599729,-1,73755,891694,81144,-1,16308,466595,-1,448738,262496,429810,-1,-1,343873,852107,-1,895516,723848,-1,941739,102294,445690,424846,836487,880636,-1,-1,-1,-1,411332,-1,983128,-1,-1,-1,106104,350523,-1,-1,55840,-1,-1,-1,501333,789030,657938,-1,297141,707971,673852,717057,-1,391037,362379,-1,553386,624572,-1,184918,-1,-1,298239,499582,-1,-1,-1,-1,-1,-1,-1,142006,-1,460256,-1,-1,-1,791613,751652,-1,-1,-1,-1,391302,-1,57743,569149,330238,-1,-1,836392,-1,-1,898227,940300,231037,-1,-1,365427,232347,-1,228863,272528,656451,-1,-1,-1,833203,941089,-1,-1,-1,608966,-1,-1,575111,-1,708112,-1,653992,464811,-1,-1,978924,-1,-1,281303,-1,786592,773273,-1,912451,550700,-1,295879,151603,-1,-1,-1,373445,371895,-1,436335,808373,-1,-1,-1,468277,4326,-1,-1,-1,74341,516529,572973,60523,583155,-1,449857,-1,299728,53344,720125,-1,835107,862433,964604,-1,80143,-1,-1,316917,585072,331969,-1,-1,-1,-1,697843,-1,-1,-1,191681,-1,354284,-1,-1,-1,-1,40074,-1,681741,-1,538203,107740,886154,317993,184705,479143,-1,487660,-1,442673,750098,-1,412552,-1,-1,-1,-1,-1,-1,86390,-1,-1,805940,-1,698318,-1,88459,702802,-1,-1,-1,-1,-1,510188,-1,-1,-1,-1,-1,989789,915774,-1,-1,-1,126272,208971,409312,219613,543005,-1,-1,281310,218942,-1,994749,380073,575547,-1,-1,840863,-1,-1,752013,-1,-1,504700,-1,-1,-1,-1,-1,-1,-1,866007,728252,-1,384807,-1,131741,965026,-1,989285,-1,-1,-1,634163,-1,469812,-1,498322,381440,82438,738583,248940,-1,-1,-1,-1,729518,-1,-1,-1,-1,-1,-1,292317,-1,-1,-1,-1,-1,-1,831749,-1,333963,-1,-1,-1,-1,-1,-1,-1,-1,266755,-1,436385,-1,791849,891893,-1,-1,-1,-1,721022,-1,-1,-1,-1,-1,-1,-1,-1,125020,892105,48107,328113,790443,760000,922081,-1,109984,442355,486448,-1,-1,-1,-1,856470,831285,251327,931073,59486,-1,49829,-1,-1,328839,-1,-1,-1,-1,-1,-1,5183,-1,202627,-1,-1,-1,859117,-1,787490,971062,-1,-1,23539,216324,608766,-1,-1,-1,136684,215234,-1,-1,-1,-1,508614,-1,-1,-1,121766,466073,448399,957555,-1,-1,-1,-1,856933,-1,330069,535035,384288,-1,112840,-1,475232,-1,669418,403376,-1,116775,680389,969025,632008,-1,638475,67334,-1,-1,73432,970195,-1,-1,-1,-1,-1,-1,209345,-1,-1,506971,-1,-1,381573,390933,-1,-1,542689,177546,-1,123,232764,-1,89307,-1,-1,279999,-1,-1,-1,-1,816060,-1,551329,-1,366998,-1,-1,-1,-1,148018,-1,697558,-1,611605,749401,-1,603304,-1,196973,656030,-1,426227,-1,-1,943094,998731,977634,-1,-1,124771,144696,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,787876,699599,-1,607872,-1,935735,14874,353576,412833,183644,30552,575588,40670,41551,147416,-1,845512,-1,316188,-1,707562,402293,-1,669182,-1,136474,203991,-1,-1,885970,725834,-1,913898,-1,381948,810315,-1,251337,192897,857662,111589,-1,-1,-1,377918,517417,557984,-1,-1,856942,413720,381083,616159,-1,-1,879712,191591,-1,304903,-1,110236,-1,678001,-1,768755,-1,647045,-1,770677,-1,-1,-1,929351,351159,609394,799074,-1,466695,31297,751163,-1,527760,546200,109332,-1,118620,-1,-1,-1,909858,141197,-1,868194,-1,-1,-1,-1,-1,-1,720464,-1,775443,-1,-1,943128,-1,-1,-1,795890,51667,-1,-1,285605,918419,-1,474362,-1,-1,-1,771152,456930,-1,21234,-1,-1,711754,692647,-1,916468,939422,-1,-1,-1,612273,675526,495474,-1,285275,433821,226002,-1,877099,-1,-1,-1,-1,747532,658072,-1,272114,819148,-1,-1,-1,498378,222945,684607,525962,790254,-1,359419,-1,-1,971,-1,-1,578291,963669,-1,227768,828569,531225,798078,179071,-1,659201,750003,124541,-1,-1,32422,244775,-1,-1,-1,-1,148304,302906,870186,-1,654193,313277,262615,241520,628913,-1,-1,-1,-1,686477,796467,229513,-1,824629,906272,394055,724733,-1,-1,758784,-1,-1,543428,-1,230756,772713,-1,387879,-1,-1,-1,-1,-1,290741,-1,553198,905747,336688,-1,524679,-1,869395,-1,-1,-1,365350,-1,235611,875215,-1,-1,-1,-1,-1,-1,857948,474342,-1,973828,391388,-1,22889,-1,862985,-1,573205,614340,-1,-1,-1,-1,-1,-1,791303,-1,958728,-1,747297,813668,-1,-1,532956,-1,659261,-1,606165,343428,-1,514353,-1,937570,629444,62377,-1,547142,161166,832899,655277,-1,790877,539445,660494,516017,154540,-1,-1,155831,-1,-1,-1,-1,-1,-1,-1,399541,764968,-1,946177,997811,-1,196594,-1,-1,167506,-1,846424,995252,-1,910502,-1,-1,390670,856729,-1,925408,-1,644571,58426,-1,-1,-1,172186,909780,211352,-1,-1,810222,-1,-1,-1,-1,121431,-1,-1,-1,-1,-1,493032,-1,-1,-1,-1,58851,733931,392354,91890,-1,-1,-1,20115,638960,91,249178,260537,-1,1294,532086,646623,-1,179278,-1,306198,840180,155477,680382,276999,-1,-1,-1,349358,-1,-1,189086,241995,-1,-1,565207,-1,-1,-1,123866,-1,638145,72926,-1,-1,-1,38136,-1,-1,942430,-1,-1,770860,-1,751698,145288,613852,338638,-1,413578,-1,762246,896629,-1,624595,-1,388377,-1,-1,818530,937991,719551,-1,-1,-1,-1,855293,-1,104698,192252,790983,-1,804715,550167,139250,958626,-1,-1,-1,354056,217048,776736,530561,529050,-1,-1,-1,-1,112810,954856,-1,895392,361932,638991,154933,951633,-1,-1,490510,971653,534237,496430,113611,740204,619729,-1,-1,-1,-1,-1,-1,-1,591893,-1,-1,952054,915065,-1,-1,359807,511578,460047,358645,-1,123579,466602,826690,-1,348411,-1,-1,33117,307956,-1,143307,827040,-1,231114,-1,484581,-1,-1,352484,191876,221904,663315,-1,-1,587187,305213,378859,140975,-1,994793,-1,-1,-1,-1,45733,-1,-1,708849,-1,335663,-1,440804,-1,63142,-1,-1,-1,-1,-1,385497,-1,-1,305561,-1,-1,214475,564330,-1,-1,-1,-1,819665,-1,89772,-1,-1,91920,-1,488202,-1,589756,-1,739003,498189,749897,635255,-1,59500,491148,-1,589114,-1,-1,-1,884873,110735,493668,466324,-1,-1,829110,872073,907072,-1,-1,483468,700201,-1,-1,-1,-1,130270,268478,-1,-1,-1,-1,182272,-1,998941,-1,-1,-1,-1,-1,343131,529251,752593,711126,-1,-1,39851,-1,-1,-1,-1,79493,-1,-1,687594,-1,-1,-1,216635,820897,-1,203260,-1,691645,-1,-1,-1,548506,782299,-1,-1,850828,517978,778420,889760,-1,-1,888427,-1,801998,239496,-1,-1,998304,-1,667304,-1,-1,-1,-1,899883,-1,-1,703514,467707,426375,646499,-1,170146,79623,622247,-1,772855,100059,-1,-1,-1,-1,-1,446581,-1,-1,309053,-1,-1,-1,955192,-1,24595,898900,-1,724033,-1,70462,-1,-1,-1,-1,-1,-1,276390,733829,-1,41596,-1,-1,443044,-1,310589,309526,5012,-1,-1,-1,-1,-1,888354,695645,-1,342533,-1,289349,366226,236552,-1,993265,-1,324624,668872,-1,-1,-1,-1,-1,884449,-1,718658,74718,-1,738821,707859,-1,751449,-1,-1,-1,-1,-1,-1,-1,172296,-1,-1,-1,425240,263489,673023,786149,175818,894543,422684,295013,-1,-1,609056,-1,101550,605148,-1,333282,882908,-1,386070,642247,-1,389592,701372,412859,-1,347255,-1,-1,950840,-1,-1,-1,-1,110511,881441,-1,-1,-1,690333,-1,594268,-1,-1,27167,854052,-1,33678,-1,-1,482887,435823,829854,27005,400327,355196,-1,572273,-1,275710,526431,-1,830399,-1,-1,299514,-1,-1,406659,-1,441177,866328,-1,33191,810872,251317,-1,-1,22463,-1,-1,672691,-1,-1,933001,485133,-1,-1,593117,534810,605347,295990,-1,79417,-1,196108,-1,-1,-1,-1,-1,-1,728719,-1,817296,370712,-1,582678,-1,663356,999301,139589,299241,261331,1540,-1,310748,-1,702609,-1,-1,982046,-1,-1,158765,35140,681524,-1,-1,849500,-1,901759,131157,412996,-1,228970,-1,-1,231866,-1,467143,-1,286540,-1,-1,788304,478725,995685,-1,239117,-1,967430,179857,469446,877953,999785,577465,-1,318629,-1,-1,-1,250065,493990,682898,-1,953746,-1,-1,-1,986008,923383,641912,-1,-1,690258,-1,484708,577522,-1,-1,981241,-1,129300,-1,-1,-1,777448,990171,-1,-1,-1,-1,-1,297179,-1,446337,-1,-1,-1,-1,-1,-1,942499,-1,-1,455891,199602,447440,-1,848865,-1,-1,622232,-1,840309,14665,514092,-1,-1,830869,423543,-1,-1,983181,445368,929219,-1,-1,-1,950050,681826,749061,605983,-1,322177,-1,-1,676685,-1,557665,-1,-1,943882,-1,595710,661053,-1,633660,376954,543432,853652,-1,-1,764005,-1,-1,190455,-1,746485,-1,625827,622972,-1,649966,-1,47802,-1,698028,-1,-1,-1,281906,137013,340407,-1,733298,-1,754625,287362,399859,-1,501089,586924,-1,-1,-1,478160,586449,171648,607226,-1,397940,323715,661620,-1,-1,777550,-1,917900,281719,256831,-1,586487,488630,233050,-1,986677,726531,-1,-1,-1,834332,758176,755290,-1,-1,815638,106593,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,930249,816400,-1,635971,299608,584522,529475,-1,86040,711534,-1,-1,-1,691483,-1,515920,-1,167228,317177,-1,886376,-1,550093,-1,-1,201077,-1,264298,846919,388938,-1,64230,-1,-1,397746,126823,626669,-1,62873,342530,865962,586377,854826,112928,-1,-1,-1,652453,-1,148523,-1,-1,-1,677934,-1,849397,647274,562220,-1,-1,-1,-1,162010,-1,-1,-1,761233,995232,-1,-1,983255,-1,421266,470124,-1,398672,842207,-1,886358,236200,-1,820925,169591,547458,-1,340137,258676,-1,-1,-1,-1,-1,-1,461757,-1,-1,594670,268924,-1,-1,-1,942702,743742,-1,-1,41548,-1,220230,-1,-1,-1,-1,582941,524466,-1,-1,-1,-1,-1,566286,-1,-1,378808,558971,-1,658565,783676,749556,663368,84252,196735,753319,-1,-1,-1,513914,886519,-1,-1,-1,272177,-1,-1,620500,214529,-1,-1,-1,-1,-1,797799,-1,780334,-1,343190,277710,418762,-1,101011,-1,885964,814253,921041,639479,-1,452342,713198,166658,-1,663791,-1,405959,-1,-1,536974,-1,935553,306233,-1,-1,493677,-1,938333,-1,-1,81104,-1,-1,212648,542688,-1,793545,-1,-1,539846,32642,253913,9128,-1,-1,179270,-1,320259,-1,402761,-1,387738,822882,429832,-1,-1,215950,-1,-1,-1,205951,-1,-1,-1,860698,-1,501139,-1,166062,-1,270834,335439,-1,233174,828642,101836,198074,-1,-1,-1,-1,-1,-1,777876,471439,239570,195251,-1,570805,232504,415559,-1,943433,-1,-1,785738,-1,186972,-1,191477,-1,89288,-1,437141,548259,865560,566964,-1,412936,461008,651210,-1,-1,117647,-1,416778,-1,300799,276724,-1,-1,288303,-1,148837,-1,995893,-1,785993,-1,-1,-1,238326,-1,375007,146271,-1,897421,979888,-1,80109,286535,670637,791472,183708,-1,-1,357567,379658,-1,-1,-1,730305,-1,195852,-1,971902,774967,562473,239216,-1,231412,505442,-1,-1,314307,812821,-1,714189,-1,-1,-1,84367,78242,-1,668657,-1,764906,718995,232799,969225,715171,-1,-1,225548,804721,697441,725752,-1,-1,693178,-1,281237,-1,872331,-1,-1,-1,-1,-1,-1,427477,498102,-1,-1,367930,-1,-1,-1,590188,-1,218365,804196,383788,464593,693549,228971,360651,-1,798711,599905,910386,-1,469004,-1,-1,-1,757004,-1,-1,-1,-1,-1,-1,865778,-1,957540,424526,-1,-1,409773,-1,873882,-1,-1,-1,492753,59907,631162,-1,-1,93284,941917,-1,-1,633014,-1,938486,-1,878377,-1,973517,329932,443529,335258,-1,-1,-1,48290,875152,468130,-1,53457,171081,463454,550416,-1,690361,-1,-1,134435,629646,834652,-1,157207,816828,-1,328497,612060,-1,486479,982510,-1,638057,-1,608059,-1,536775,-1,167513,641814,-1,-1,275023,-1,-1,757212,83519,-1,266011,-1,-1,276481,-1,-1,180950,528806,743460,778840,-1,607607,702298,-1,103074,897773,-1,-1,365977,51219,-1,-1,-1,-1,753454,-1,910477,-1,558001,-1,-1,-1,-1,-1,-1,-1,-1,-1,684540,772996,-1,775445,636894,-1,-1,518014,-1,-1,556884,-1,335088,568910,983472,-1,-1,668055,-1,-1,-1,-1,192642,115693,-1,53903,-1,-1,395701,585438,-1,296586,604051,290930,-1,-1,514390,-1,-1,-1,147681,-1,719642,488094,-1,-1,-1,458707,-1,-1,-1,-1,-1,-1,83136,-1,55782,81453,397112,-1,616806,517397,488406,-1,-1,-1,-1,266073,-1,236044,-1,97685,-1,-1,-1,628279,-1,-1,-1,-1,671155,-1,624296,417288,-1,-1,837269,424162,199741,-1,-1,-1,88097,547292,-1,-1,228469,956963,846084,754655,-1,85822,624143,-1,177724,685192,827850,69458,935606,519111,-1,748033,-1,796928,912292,219314,946328,189754,-1,302721,79225,-1,871602,-1,-1,-1,897523,923416,183650,827897,-1,662955,132309,-1,-1,772059,254360,196089,822219,940438,143588,-1,835850,-1,-1,231215,-1,-1,996889,-1,91700,-1,-1,-1,-1,-1,-1,417337,-1,-1,-1,-1,-1,189749,676611,309322,525378,-1,91305,913071,917690,474201,-1,-1,-1,990341,-1,988381,-1,-1,363091,-1,-1,-1,949871,456046,-1,546615,699335,-1,775000,-1,362858,-1,576517,100524,-1,17649,-1,5672,726659,885079,624175,351665,6364,-1,381028,-1,297039,-1,838879,-1,938315,-1,406166,799428,-1,-1,285305,-1,-1,565905,-1,-1,82337,805926,633653,-1,-1,-1,-1,230521,-1,-1,269345,2475,-1,353570,-1,-1,-1,-1,833170,-1,-1,-1,831710,-1,-1,-1,-1,800742,815814,-1,825184,-1,-1,-1,-1,-1,242477,-1,693678,141054,585459,-1,-1,-1,684914,-1,-1,-1,684531,-1,-1,966609,728712,944215,930431,-1,-1,401297,-1,340859,585611,-1,844456,269607,676432,-1,-1,-1,762876,-1,-1,140862,254238,-1,586195,-1,979097,171976,749257,960769,846156,700327,-1,-1,-1,742112,-1,670720,829694,-1,-1,969506,-1,-1,-1,279105,601421,27437,-1,-1,380842,-1,-1,298152,-1,287653,314386,409073,-1,318002,682953,-1,-1,-1,816324,751252,-1,454984,753293,112609,62178,-1,920866,509156,108407,553672,364877,867770,529061,-1,-1,32350,-1,539121,726375,-1,793944,-1,-1,-1,-1,-1,880402,914123,356871,826830,957707,882769,597365,969132,503441,-1,377686,-1,360010,936310,651219,-1,769461,-1,30145,370755,120111,-1,428302,868099,-1,-1,23222,-1,-1,447336,-1,-1,-1,126448,425476,-1,-1,-1,226127,-1,-1,-1,-1,377193,-1,-1,34606,-1,-1,-1,312921,919174,-1,631044,733161,490719,20231,498645,133917,-1,373276,562757,-1,-1,209781,-1,-1,436007,-1,-1,5637,980781,240272,-1,-1,-1,133512,47765,-1,-1,193406,51083,669750,-1,979262,-1,818257,98781,-1,136533,-1,-1,-1,830628,410570,805253,-1,-1,222918,961084,375250,-1,-1,-1,305002,396956,283881,207157,399025,605358,120240,-1,102912,-1,777982,599322,-1,-1,-1,-1,-1,-1,724229,837189,-1,426890,411060,-1,-1,488376,136967,327878,-1,519966,-1,-1,-1,84515,853836,-1,-1,-1,-1,-1,-1,-1,-1,-1,178799,644387,-1,-1,293876,-1,-1,364415,584821,-1,-1,560345,-1,-1,665433,657702,-1,-1,-1,141795,-1,109951,556475,-1,-1,907288,-1,-1,853373,716753,-1,-1,-1,-1,264989,755493,87940,-1,303390,296139,445766,491080,654086,-1,-1,-1,-1,-1,-1,-1,-1,-1,772887,-1,286651,232924,-1,918688,-1,-1,-1,-1,-1,325625,783463,-1,256000,-1,-1,271220,-1,-1,-1,914857,949458,-1,-1,-1,-1,932990,-1,506677,233883,-1,738372,-1,-1,-1,-1,821828,-1,-1,-1,-1,771121,183811,-1,915462,-1,557862,677121,151649,12345,502113,753651,892992,-1,-1,366548,470139,-1,564095,450805,461979,-1,-1,-1,672906,-1,232699,736815,-1,326009,-1,621163,495653,-1,782431,434478,81301,-1,735899,-1,-1,-1,-1,-1,-1,-1,-1,502090,-1,-1,-1,-1,-1,-1,457026,-1,-1,795979,19932,-1,-1,-1,-1,-1,634137,-1,-1,-1,565296,464091,-1,910552,500995,888258,744612,-1,109303,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,295436,966457,913756,967459,914185,-1,-1,74671,-1,-1,-1,-1,86755,142978,136482,-1,290162,-1,-1,570920,435164,503140,584214,949942,-1,983112,945007,680997,109976,396384,-1,-1,-1,-1,-1,-1,225448,-1,904839,955857,764289,113097,2585,452391,633243,408658,444932,-1,811433,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,627520,-1,796799,643722,-1,340738,81393,-1,313422,-1,540811,108430,895234,34736,-1,759261,-1,360792,-1,-1,927687,645652,979922,650389,-1,290566,-1,335073,-1,-1,38881,-1,-1,-1,954310,862505,227784,-1,246354,-1,794639,339251,671132,-1,-1,-1,807826,-1,-1,521002,-1,-1,-1,-1,-1,359426,-1,-1,-1,903760,-1,869661,-1,863240,-1,502147,575732,-1,131473,521984,88792,412760,201490,-1,767689,-1,-1,530770,695521,470040,830789,843375,55091,-1,938430,-1,-1,-1,-1,-1,-1,149167,461970,-1,498393,-1,948193,-1,-1,-1,899174,956026,423433,-1,-1,-1,746044,-1,712309,-1,572316,687874,-1,-1,-1,-1,293829,-1,-1,206255,814532,373846,-1,27330,-1,742988,821007,183174,880428,-1,376448,43151,244890,-1,581037,-1,-1,159884,777702,715853,546875,623098,492050,694713,-1,-1,-1,-1,823571,75327,-1,-1,182550,433942,-1,946470,-1,-1,595853,-1,-1,-1,-1,-1,599052,-1,763969,-1,-1,252755,37817,-1,-1,-1,463531,43124,-1,-1,-1,156174,-1,354434,729117,574724,-1,-1,881196,673842,811524,-1,-1,-1,238049,684760,477255,338755,-1,-1,-1,-1,146080,657299,-1,-1,793288,111294,915359,253951,-1,473597,253785,-1,-1,312933,180379,-1,-1,-1,687177,-1,-1,259055,954015,-1,102584,599427,-1,490522,60644,557429,-1,529572,786658,-1,-1,-1,292254,-1,175938,558163,-1,383929,744080,597761,-1,-1,361175,-1,-1,975370,-1,-1,-1,-1,293094,985632,-1,-1,-1,-1,-1,-1,742309,899203,661404,-1,234658,-1,-1,606789,714405,67686,856663,172073,109028,-1,-1,-1,504701,-1,-1,219439,782847,-1,955806,717350,404126,536878,-1,-1,-1,-1,764300,23891,995844,-1,510787,-1,739223,271525,889228,-1,525423,633314,-1,-1,416296,-1,-1,-1,807835,-1,582226,-1,364200,320298,56957,-1,528830,840453,204863,-1,-1,-1,-1,717639,-1,27764,-1,-1,798531,852262,781052,-1,657358,-1,331385,779908,-1,-1,-1,863601,845524,-1,58452,706634,422596,50993,534587,534355,192050,-1,202221,-1,904780,-1,639846,891256,-1,-1,401461,682167,201010,213920,86617,-1,-1,-1,-1,152985,925266,333479,582179,-1,200890,5477,-1,984418,299571,-1,-1,-1,7322,-1,897495,-1,498088,743362,655686,-1,664365,-1,-1,-1,-1,-1,160412,-1,-1,492706,251633,272463,-1,355334,-1,-1,-1,256151,741689,616126,342616,-1,-1,-1,-1,369874,959757,25576,286972,970210,-1,928259,-1,-1,529510,541789,-1,-1,-1,-1,405458,-1,181993,718508,512334,747657,178922,51591,-1,726773,284396,23698,807115,-1,-1,901960,-1,11695,71660,508795,897744,-1,261490,141637,-1,80115,-1,88128,-1,-1,911653,-1,624834,636221,798392,-1,-1,964708,11110,-1,-1,638125,-1,597309,-1,-1,503856,-1,-1,827101,822003,-1,-1,-1,515123,-1,197274,770950,300737,909565,469566,-1,223430,399070,-1,511323,-1,338211,485445,-1,251335,-1,-1,32353,166809,-1,-1,-1,-1,287618,-1,387358,392758,116483,276421,315867,-1,271256,735944,78940,501748,-1,11753,-1,-1,628957,-1,-1,608693,573091,-1,331856,687378,-1,-1,419513,-1,525503,-1,571881,-1,820293,429925,968795,612446,25940,910578,-1,-1,-1,-1,-1,-1,-1,62142,-1,768406,313137,-1,434446,829173,-1,46712,134513,246109,936920,-1,562997,181487,-1,-1,-1,411513,-1,-1,636880,541080,-1,-1,-1,702753,721716,779905,378287,274694,949982,-1,173558,389961,-1,292194,-1,355859,-1,-1,842171,222488,337306,154438,120389,613249,691988,224820,474936,59654,587291,-1,-1,-1,390589,-1,-1,-1,-1,-1,679088,973913,-1,-1,-1,-1,-1,584173,589304,-1,-1,-1,-1,-1,-1,-1,219320,-1,-1,923668,489406,-1,941619,617307,731312,803143,910245,457668,597754,57531,-1,-1,-1,-1,404484,-1,-1,906452,-1,106951,-1,808629,761411,-1,-1,-1,-1,-1,-1,-1,447221,510427,852438,-1,-1,833507,426879,-1,-1,477634,-1,167269,-1,-1,-1,-1,334292,969898,503698,962708,124597,-1,620136,-1,213255,-1,189014,576368,-1,219361,591316,-1,-1,813321,-1,-1,-1,771181,757733,-1,-1,796980,558332,523127,-1,720024,-1,-1,812563,965901,-1,-1,-1,585460,-1,-1,104281,-1,276353,-1,-1,316775,-1,-1,-1,224129,375856,-1,293694,-1,195099,-1,-1,634172,14276,-1,711660,-1,173449,506145,-1,240649,-1,378831,950795,-1,-1,-1,731770,-1,-1,473960,-1,583446,296584,-1,981621,-1,-1,-1,921207,291129,-1,-1,207109,-1,581175,836019,-1,-1,-1,-1,692672,351619,-1,-1,329791,57329,286029,-1,47229,-1,417183,-1,318869,-1,316803,-1,245856,175687,164793,318092,475802,711321,-1,734788,331782,967706,-1,-1,80908,703676,-1,-1,795510,-1,836343,-1,-1,853319,-1,-1,-1,-1,-1,-1,326669,649736,653878,-1,-1,-1,848424,418340,528878,-1,-1,-1,941787,288058,149344,-1,329410,752616,55667,776283,-1,324704,-1,216823,261524,-1,76998,26178,875000,168048,825515,-1,681395,583483,-1,277389,-1,-1,11400,-1,914320,633716,546178,-1,-1,-1,-1,312597,-1,-1,848751,207377,342822,-1,564295,-1,715294,782380,-1,227672,-1,-1,70868,-1,258519,-1,-1,67199,816493,505175,-1,409983,333634,-1,-1,-1,19281,398075,-1,-1,-1,691694,727940,-1,-1,-1,-1,-1,610028,-1,429369,-1,-1,385678,171106,-1,-1,-1,651347,321956,982397,345014,-1,-1,527208,-1,-1,344631,577158,577991,-1,-1,768758,21164,-1,995581,-1,687501,893540,405714,-1,-1,-1,445467,-1,-1,203886,823479,-1,-1,-1,181942,-1,-1,713207,-1,555507,591708,450265,638696,24734,-1,-1,955257,870295,719659,-1,460706,-1,-1,62386,-1,-1,208407,978965,140448,905780,-1,-1,-1,-1,710121,978354,-1,-1,-1,221044,-1,-1,-1,969881,-1,150031,-1,170080,-1,-1,274593,622133,-1,655713,-1,436640,42877,-1,-1,217539,168147,106908,-1,973284,-1,-1,-1,-1,-1,576714,-1,-1,391775,-1,-1,-1,-1,328380,339197,-1,874289,521854,728905,292502,645017,-1,987464,-1,-1,547862,-1,-1,-1,-1,154375,490469,768588,942129,505449,-1,-1,-1,-1,758895,88673,91258,-1,692957,297711,181325,314004,484850,648233,-1,-1,617562,-1,391313,703826,-1,28771,306646,999079,286710,286814,791589,-1,-1,-1,262004,-1,-1,159909,-1,648414,-1,316579,-1,-1,-1,-1,953021,92387,517589,-1,994453,-1,758395,906524,-1,399415,194078,-1,-1,600583,800581,394059,-1,-1,642230,-1,-1,432667,-1,-1,-1,158555,59785,891139,-1,694640,738297,331930,783593,-1,-1,80341,314233,-1,-1,734004,-1,869271,924273,667169,605082,633685,786475,154478,448855,-1,-1,-1,-1,153161,-1,-1,907730,411297,827103,839573,60348,-1,122930,503960,766060,-1,581689,-1,-1,651884,-1,914456,-1,-1,-1,975248,454567,193977,-1,123334,580948,-1,139444,281614,496446,-1,-1,-1,768835,384179,-1,907131,272721,-1,-1,-1,-1,191972,964297,-1,-1,399204,-1,-1,556082,236915,-1,155123,347631,830921,-1,-1,155274,-1,-1,-1,341822,-1,870442,-1,754775,69356,693260,-1,110337,-1,899524,-1,-1,-1,581576,320217,549869,869285,632630,449456,288925,-1,965911,892425,-1,297965,770753,242820,401582,-1,-1,-1,467009,-1,-1,-1,-1,921846,-1,-1,-1,-1,-1,-1,-1,-1,-1,793984,287181,-1,925607,-1,-1,-1,302615,-1,996463,-1,-1,-1,-1,-1,480462,923153,-1,779970,-1,933284,706677,458873,399642,922276,555059,-1,612866,702023,343810,-1,-1,-1,448966,466014,-1,625953,397874,440903,-1,471982,826902,-1,97729,451135,111987,-1,-1,-1,-1,711434,-1,-1,26692,-1,-1,787029,862146,-1,839790,-1,285687,796547,-1,161264,770361,966465,166514,-1,984924,-1,797038,880372,699836,-1,-1,904462,285100,-1,-1,890783,-1,-1,-1,-1,-1,771948,-1,8114,-1,-1,-1,-1,95783,156624,661738,537628,-1,-1,-1,71446,57638,353383,951310,-1,573218,-1,383658,-1,382980,291422,376967,-1,-1,578925,-1,399730,-1,592407,940463,72174,-1,-1,376609,397386,139848,-1,600931,974591,-1,-1,667963,-1,189282,-1,-1,-1,-1,585170,190718,701741,-1,-1,-1,771881,159981,128775,901985,-1,837988,434140,-1,630846,203007,-1,989800,581195,-1,-1,244868,-1,514100,-1,-1,-1,-1,-1,342839,-1,-1,-1,471922,578396,-1,519205,197952,-1,-1,-1,876714,-1,339201,-1,-1,906913,-1,-1,367014,-1,406553,898270,-1,802188,328521,-1,980723,726593,846137,34034,802877,664185,573241,-1,-1,865443,950698,-1,76469,245164,-1,-1,-1,-1,-1,467126,-1,576955,604716,8338,-1,456929,618900,-1,200437,-1,-1,549858,324485,155679,-1,808575,-1,781976,-1,509580,-1,961096,-1,298680,-1,-1,597312,204344,-1,-1,-1,-1,-1,-1,488140,724251,-1,-1,-1,-1,-1,-1,640375,328020,-1,462212,-1,505399,172463,626006,-1,-1,-1,166090,-1,-1,864241,204433,-1,-1,-1,515689,513522,948549,-1,-1,646628,49912,718211,-1,-1,394265,-1,770778,-1,-1,-1,662768,-1,609936,-1,-1,177066,25182,-1,-1,-1,-1,-1,-1,-1,467097,138433,257318,-1,-1,871295,851327,958454,109868,840286,198997,-1,-1,-1,481722,1638,561375,848860,-1,744247,240717,812719,-1,603541,322143,784027,-1,501991,683873,377003,578740,-1,874293,-1,-1,-1,763457,501050,439903,874248,832217,-1,854123,424792,543411,-1,-1,121799,-1,834742,62323,-1,28936,756814,290307,754263,-1,-1,-1,622238,127651,76575,-1,-1,565274,497186,-1,-1,-1,760336,378404,120654,907034,341400,-1,725903,-1,441796,569915,870984,-1,468256,-1,-1,-1,860178,-1,-1,717623,-1,-1,171238,-1,-1,-1,-1,-1,29984,323466,857058,300321,858487,-1,348736,697829,-1,-1,-1,915592,-1,356114,-1,-1,931870,652848,-1,-1,522177,854956,624,774629,-1,-1,-1,-1,525083,70737,-1,106429,-1,-1,57771,-1,-1,456119,-1,-1,-1,-1,-1,231971,-1,988779,878934,-1,-1,683061,-1,-1,-1,620035,83545,-1,-1,-1,905135,-1,-1,-1,-1,500024,-1,-1,-1,671728,-1,-1,905250,385085,15387,-1,-1,886648,745024,-1,688656,49347,-1,233677,544718,-1,76228,-1,560598,-1,-1,-1,-1,954183,524345,-1,-1,-1,-1,-1,-1,602868,-1,540065,-1,-1,-1,-1,446889,341090,-1,418254,700510,-1,-1,-1,925234,631122,13744,880180,774195,175156,688661,-1,-1,-1,-1,415247,950911,842444,-1,661189,-1,99779,937230,509010,-1,691232,-1,842644,866616,-1,-1,628747,780420,172595,365697,820610,-1,-1,-1,523772,-1,-1,430963,963479,8577,-1,710012,355285,-1,900631,-1,-1,327350,312199,294316,-1,675747,34849,-1,-1,119742,170998,454280,569475,-1,217084,579083,258749,-1,-1,-1,-1,-1,425156,141078,169479,-1,194400,22717,-1,384407,366603,-1,-1,-1,-1,-1,76802,85165,-1,387788,-1,-1,30876,180235,-1,824521,-1,-1,-1,786280,-1,-1,-1,788361,986850,317514,-1,849443,646860,797053,-1,-1,99773,-1,204835,6688,-1,375608,-1,19112,-1,582813,827969,617477,-1,-1,-1,-1,-1,570168,-1,-1,997439,820301,-1,-1,-1,-1,628777,162670,308983,196933,-1,743081,-1,412161,863398,769922,-1,-1,987626,454397,-1,-1,-1,-1,-1,820651,135137,691554,703115,766070,461044,796011,488892,-1,222316,-1,-1,297081,380352,422702,-1,210315,-1,132724,156324,-1,-1,95873,-1,329431,660979,-1,13403,734913,-1,894474,433460,101171,880902,-1,287220,671167,-1,801003,103384,870318,128007,52883,-1,164790,-1,872534,544619,-1,-1,-1,161014,-1,32020,-1,213812,-1,-1,-1,228951,-1,854543,898372,-1,486841,571837,944780,825773,390628,-1,-1,-1,-1,18760,188214,-1,665773,-1,375086,401855,987340,-1,653374,-1,582072,-1,-1,406455,950279,-1,-1,110743,281625,35029,33458,348865,-1,-1,-1,-1,756184,-1,-1,-1,370206,-1,514654,602009,-1,-1,-1,-1,15515,-1,-1,-1,24422,751795,410292,-1,-1,993208,-1,-1,-1,18050,701391,147150,205031,557045,-1,108574,-1,-1,280442,54045,688674,558429,-1,358702,-1,352558,-1,473443,477027,958337,264576,-1,224328,599189,336930,858496,-1,-1,-1,-1,80028,262903,855680,680451,143333,-1,-1,911404,499206,-1,-1,503446,-1,-1,575047,-1,-1,910448,775728,-1,240110,600173,-1,183091,-1,-1,87844,-1,819344,-1,-1,-1,-1,-1,-1,400485,-1,346131,258861,177991,-1,266870,-1,-1,-1,233991,-1,-1,376527,-1,978989,-1,429059,108873,714279,-1,-1,350905,-1,218537,97776,-1,677671,357005,184,469427,-1,708986,490896,965150,-1,-1,-1,226862,847017,461144,-1,-1,762047,-1,724321,494092,594187,-1,302302,260379,-1,642445,970873,-1,994567,623822,146459,-1,336584,-1,532421,-1,-1,764853,245628,-1,-1,-1,899414,-1,-1,-1,-1,-1,-1,-1,583062,490994,164410,-1,57869,549559,574970,690917,788923,-1,-1,-1,840029,-1,354707,798758,480446,-1,833865,-1,777837,-1,-1,219146,933398,458811,707132,48991,138282,-1,-1,150274,-1,31966,33842,-1,873294,353068,-1,7855,726588,-1,896886,810522,-1,-1,893343,195631,-1,-1,-1,219496,119606,-1,-1,249298,3890,174725,-1,897339,-1,617606,61646,247071,-1,-1,487246,-1,-1,-1,-1,115649,799583,183695,612413,-1,885858,345266,76963,-1,788448,519122,-1,-1,257818,-1,-1,-1,-1,-1,-1,930068,-1,421271,-1,-1,244531,-1,91853,748304,761276,583993,23190,994709,-1,551936,191558,514191,-1,-1,574481,-1,-1,-1,470172,125735,-1,-1,-1,-1,801639,989677,339150,-1,-1,889390,253613,446016,792727,431352,-1,-1,-1,690181,503301,-1,-1,465551,-1,-1,83225,-1,597058,365896,-1,-1,549682,611792,-1,648789,-1,630063,-1,691538,-1,384204,-1,678844,666694,-1,-1,137355,299160,792289,368561,571413,-1,-1,532060,-1,-1,480685,700328,-1,-1,209484,-1,600311,-1,-1,468814,-1,-1,-1,205806,-1,473771,116325,-1,402922,141755,-1,413873,309542,-1,829563,238509,447261,-1,411608,442919,-1,-1,-1,49149,616072,810935,246302,113785,306545,899991,-1,-1,-1,-1,988172,-1,-1,719862,-1,-1,-1,442982,-1,-1,594515,866395,-1,353095,960421,145721,577947,-1,-1,280283,-1,210611,306259,881385,12759,22618,529036,-1,-1,-1,997753,-1,577850,-1,647406,676824,934996,622554,894850,-1,980520,893022,-1,-1,-1,-1,-1,-1,552213,389554,-1,341165,805717,55521,-1,173879,-1,880839,-1,-1,-1,774994,-1,-1,147001,824562,781383,-1,-1,29053,469543,278900,-1,-1,64948,-1,948912,579786,-1,820862,142202,-1,865953,953896,-1,761939,-1,768981,-1,-1,-1,878798,924210,77904,684933,551441,-1,551542,288023,679506,302562,-1,-1,398936,981958,731342,-1,-1,-1,-1,-1,-1,-1,234925,-1,-1,-1,-1,904867,266583,-1,-1,858975,-1,-1,-1,-1,26132,-1,-1,-1,779801,-1,-1,-1,548589,869165,-1,581610,658672,-1,-1,-1,421560,758032,-1,593526,-1,-1,-1,-1,931948,235453,98939,-1,-1,-1,-1,-1,-1,435932,487765,-1,-1,423120,562233,-1,-1,509645,974940,44953,898620,-1,803295,420910,-1,-1,-1,-1,839492,-1,-1,-1,636415,279465,-1,917583,-1,26671,-1,-1,88737,-1,9164,-1,-1,-1,-1,-1,-1,-1,836546,-1,646538,-1,-1,986721,986840,940970,-1,-1,-1,213966,797624,551819,773287,-1,492745,-1,156901,836333,502768,-1,621011,-1,-1,-1,-1,762633,-1,-1,-1,-1,98930,837034,-1,-1,572937,-1,-1,-1,433815,-1,610477,196008,712836,318825,15528,376774,644687,-1,-1,156176,-1,-1,-1,390240,870019,-1,537031,-1,-1,660229,-1,372221,-1,-1,-1,-1,-1,-1,-1,313307,716944,-1,-1,-1,-1,-1,-1,-1,971198,771715,-1,117875,-1,593448,-1,-1,-1,-1,19463,520085,453755,727953,-1,-1,908634,-1,487715,171247,95576,416328,-1,317915,-1,-1,-1,-1,65420,434552,-1,664727,-1,4561,-1,-1,824795,-1,-1,-1,957178,352617,504684,-1,-1,492110,-1,150134,636469,458965,-1,668607,-1,60914,-1,123111,765554,382093,804139,292048,-1,72321,-1,-1,-1,-1,-1,520182,915879,4970,684295,-1,-1,-1,-1,332049,636694,-1,-1,828283,-1,105896,-1,855208,-1,535555,-1,-1,-1,-1,-1,640161,-1,-1,-1,-1,937078,526037,403577,438462,-1,-1,868270,-1,-1,877040,-1,369194,-1,-1,62500,435909,757175,255922,664051,-1,-1,680087,281398,436471,-1,356808,-1,723374,-1,320732,908681,-1,447968,-1,-1,416045,949398,184299,716201,12108,-1,757819,284012,886592,348008,-1,650683,-1,937366,103041,828501,848435,-1,-1,195231,-1,525678,-1,-1,489581,78195,317185,-1,504294,-1,363280,742046,-1,-1,-1,-1,31241,566307,-1,-1,-1,370563,164971,-1,-1,66097,799336,-1,-1,-1,757074,108072,-1,-1,-1,735305,-1,-1,631424,116872,-1,669121,-1,735837,725656,-1,-1,450141,838471,-1,879499,224929,74905,-1,-1,-1,510747,-1,655506,679364,-1,630216,-1,-1,-1,220401,184256,-1,589098,35158,-1,-1,-1,-1,694776,663375,-1,278564,-1,987270,756596,-1,-1,83292,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,381386,589994,-1,238157,-1,-1,899370,-1,-1,-1,121061,203033,839075,361646,838866,-1,-1,-1,-1,-1,-1,673713,-1,370087,587372,272064,110608,-1,665726,-1,-1,171382,-1,107889,-1,808683,270478,-1,116672,519881,765948,721735,-1,-1,348747,-1,794386,899738,-1,-1,-1,-1,97023,439025,-1,-1,968438,-1,-1,987033,-1,-1,526801,318733,-1,549029,-1,-1,-1,574752,793406,-1,-1,-1,305521,921705,492400,-1,-1,267776,-1,473809,218184,-1,-1,-1,-1,-1,-1,-1,99972,-1,-1,865200,-1,526937,919430,358558,490923,199403,479467,-1,469632,666479,-1,304468,32313,755965,495108,-1,-1,-1,-1,832567,919248,994548,-1,-1,-1,-1,-1,832940,-1,742846,68800,-1,-1,-1,635922,-1,854522,858520,-1,823941,602012,538235,928240,385114,-1,944065,-1,805058,-1,655793,-1,-1,-1,45602,546204,-1,624426,-1,373130,-1,416489,-1,-1,-1,-1,-1,-1,-1,-1,747190,908075,-1,674892,-1,-1,-1,-1,-1,-1,-1,805068,19636,844597,245448,301278,523,-1,-1,-1,-1,-1,905864,308962,-1,835249,32753,-1,965045,-1,-1,-1,-1,-1,-1,-1,-1,-1,67869,-1,282490,579641,320014,-1,-1,-1,-1,-1,917151,-1,628366,-1,-1,844489,-1,976396,273340,-1,385595,401538,937856,-1,586235,948960,553374,-1,-1,-1,-1,618096,265792,-1,-1,5513,667684,-1,-1,784979,-1,-1,-1,848491,403930,-1,-1,126600,-1,-1,802956,377764,337032,-1,511300,83452,-1,701679,-1,86883,-1,192387,-1,572612,632585,53560,-1,-1,647151,849872,-1,-1,519024,-1,-1,243471,4201,514591,-1,-1,-1,694362,148746,240237,46549,408848,-1,-1,848824,-1,-1,82205,-1,406565,584443,175365,-1,482865,872812,-1,-1,443438,479286,-1,441934,-1,-1,702061,915146,287602,-1,188862,485018,371277,170303,306289,436580,296433,883976,-1,80558,867640,604599,157398,-1,-1,-1,451830,-1,-1,-1,685540,885014,6272,184906,158009,-1,886011,-1,-1,-1,486668,164442,-1,284701,-1,403068,-1,686788,-1,-1,-1,-1,597774,912013,816949,-1,-1,-1,968531,559288,759501,259916,-1,-1,129014,193225,-1,442872,863553,-1,-1,789998,948532,-1,808251,791194,-1,-1,963184,753175,156350,591528,502350,-1,654418,97200,-1,233114,728689,77562,866195,282790,52106,702399,62650,-1,-1,-1,-1,216183,-1,619857,261626,-1,253064,-1,381969,-1,877267,-1,940195,-1,-1,638624,-1,-1,-1,431955,-1,-1,-1,-1,-1,-1,-1,778129,635654,-1,-1,853986,-1,349350,-1,-1,333462,-1,-1,698008,-1,-1,149660,-1,449682,-1,673658,785394,-1,-1,-1,-1,753173,-1,-1,476847,624654,692035,841824,-1,969850,-1,-1,390232,-1,52282,545653,668627,-1,407417,-1,99402,-1,536101,-1,754386,268241,-1,972161,636283,228906,590077,-1,-1,-1,961250,920270,-1,513263,-1,-1,98346,-1,362968,-1,842217,732806,990184,200610,-1,655003,-1,714849,333874,-1,909778,224078,734568,586165,-1,910990,673315,624459,-1,875417,176059,-1,-1,-1,813258,143713,433051,879447,744209,-1,126011,-1,-1,-1,325944,-1,377262,-1,112806,386640,-1,430789,-1,-1,-1,340051,722769,493083,495450,387377,360136,627722,-1,956959,-1,-1,-1,-1,-1,172957,778771,985930,-1,623828,219997,-1,-1,-1,179424,945227,-1,504953,398798,-1,-1,-1,771317,344756,789471,-1,287881,479029,-1,-1,528263,-1,527199,-1,537834,-1,977303,801816,-1,366963,623190,-1,177197,950628,49741,169854,508093,-1,732411,72072,863180,-1,905748,619290,96774,-1,110188,851946,890774,919077,215559,-1,-1,-1,-1,-1,476931,-1,524058,639018,980890,-1,625760,248871,-1,-1,-1,132119,281811,486287,58884,-1,485558,-1,-1,99179,-1,244397,-1,-1,-1,509729,270154,18873,836986,-1,-1,-1,790354,-1,-1,-1,-1,707804,-1,-1,90035,-1,346743,-1,243496,650769,-1,40061,469989,51458,-1,-1,-1,864652,387396,-1,607701,-1,-1,208793,-1,-1,297665,-1,317581,-1,389198,737737,-1,511540,-1,169201,-1,-1,266284,760545,-1,609089,974420,-1,639278,-1,513068,-1,-1,-1,252866,-1,181307,322367,-1,42529,-1,576565,-1,-1,-1,-1,-1,-1,667564,587981,951073,652559,716144,899127,-1,783334,351259,-1,-1,-1,936670,438769,-1,-1,-1,-1,950562,-1,411143,149821,360960,-1,-1,-1,618916,304847,146635,926462,-1,381405,874981,464711,388415,509170,-1,807093,-1,191197,18447,-1,408457,-1,-1,874249,7428,-1,708183,-1,936810,101852,115345,-1,881500,453677,345577,-1,-1,-1,-1,-1,-1,563779,-1,-1,182818,-1,-1,994633,-1,796996,624815,186455,-1,-1,-1,143930,-1,-1,603241,-1,262687,-1,538903,203095,-1,-1,107140,-1,164710,353897,381012,-1,-1,817599,-1,-1,970497,-1,506106,756099,809196,-1,-1,384080,977060,579536,899322,806758,69346,-1,842328,-1,425706,325475,-1,-1,29615,-1,972948,464843,71655,32328,-1,-1,950296,444802,672120,617443,-1,-1,127035,892041,495152,-1,568202,-1,43197,-1,-1,520585,273189,-1,-1,-1,256766,481409,979400,-1,-1,-1,383969,599852,-1,996329,255209,338566,-1,202847,693151,-1,-1,148214,-1,-1,-1,655582,139510,-1,-1,778863,420620,144450,591213,-1,-1,-1,-1,-1,-1,-1,-1,378436,341911,-1,-1,-1,783728,-1,-1,-1,935216,295041,-1,-1,-1,912918,594649,106547,1838,5321,988897,385776,625071,948602,-1,-1,-1,760972,-1,-1,-1,-1,375905,-1,729212,707232,293472,-1,-1,910276,-1,74930,851568,817352,281723,-1,595654,-1,627529,-1,277065,-1,595221,367779,733852,783321,256165,-1,475431,-1,-1,526186,258765,-1,445350,-1,-1,302306,-1,-1,55215,-1,13814,886241,558266,-1,-1,-1,-1,-1,-1,533208,725491,559214,-1,406930,-1,681960,-1,-1,532704,212031,220241,468668,-1,602062,143833,-1,-1,-1,919267,-1,-1,269462,-1,-1,-1,-1,125991,312864,366607,96204,-1,767042,717183,46332,477346,-1,452787,-1,-1,440729,-1,216620,-1,-1,-1,631124,84112,789374,-1,833317,-1,787879,-1,-1,-1,440877,28843,655184,315405,302122,830152,872795,221729,-1,970811,331042,183394,-1,-1,-1,-1,260617,691082,-1,902849,596826,-1,127659,233327,778850,-1,-1,563325,-1,-1,840168,332859,216830,632442,-1,380359,78060,-1,-1,960579,-1,-1,489013,204378,439131,71483,-1,205279,-1,-1,912957,408887,-1,-1,679625,-1,-1,335892,839044,-1,-1,491103,380324,-1,-1,569293,-1,-1,772353,-1,-1,-1,-1,-1,521654,419296,244659,125554,-1,-1,-1,-1,286889,-1,-1,275323,164570,564505,-1,862504,390824,972825,450554,-1,686639,468803,668489,-1,28357,-1,-1,783706,127477,832751,-1,-1,9864,-1,-1,-1,-1,-1,937545,-1,206541,931202,786516,-1,873838,745600,12434,83103,-1,-1,-1,735470,589719,710229,217040,-1,-1,-1,309685,-1,576561,384824,822143,-1,516597,-1,2399,748340,-1,154740,-1,292155,756026,733842,169332,823391,138438,60786,-1,951569,-1,-1,495068,548991,316654,-1,-1,393804,464106,-1,810201,91149,790708,501324,-1,-1,-1,539375,162813,783130,-1,-1,-1,974911,61116,204328,362752,-1,-1,-1,-1,996241,7184,659046,-1,761219,-1,-1,653812,-1,355372,-1,863921,-1,-1,-1,-1,152704,792583,-1,-1,-1,744546,-1,-1,885127,-1,928252,-1,-1,406082,-1,631598,219295,-1,645295,588221,-1,-1,422482,-1,-1,-1,-1,-1,-1,-1,324473,-1,209411,180465,181083,887702,-1,414742,-1,-1,-1,-1,-1,-1,687104,-1,-1,444141,-1,-1,737303,18325,799355,-1,437478,-1,-1,644294,432079,436727,700486,138852,-1,438883,560373,273105,-1,-1,-1,124551,-1,387481,-1,404290,-1,-1,-1,-1,815295,20674,-1,914865,-1,-1,814978,-1,378821,506324,-1,560587,44565,244167,-1,837481,-1,-1,142474,-1,-1,-1,896830,-1,423665,-1,-1,535659,-1,615209,-1,794542,-1,285601,-1,924437,-1,-1,362091,726418,849130,453882,-1,333576,-1,-1,729803,-1,-1,593038,766945,809157,72794,464791,933276,376148,251276,-1,92636,318400,800419,-1,768395,854439,-1,229651,-1,-1,515768,-1,726033,278502,606780,428408,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,445912,463430,-1,-1,-1,209552,-1,-1,864571,-1,174652,710265,781458,167719,691014,205516,715182,-1,-1,-1,929575,-1,457285,660972,-1,498910,960247,-1,-1,177894,355260,-1,-1,-1,780932,69986,855259,-1,-1,-1,296263,910439,-1,416994,-1,309924,806934,723666,755912,671374,765439,-1,239895,543631,-1,-1,-1,163242,674580,-1,-1,-1,-1,-1,-1,-1,-1,52980,-1,287048,859896,318970,896171,644511,968505,209419,-1,-1,865794,-1,91417,176613,-1,-1,-1,872698,48698,175077,-1,173061,-1,373860,840044,939895,-1,694738,-1,824916,30366,-1,256849,-1,-1,768648,567493,-1,158064,801525,261082,-1,-1,404160,499081,-1,-1,265089,-1,-1,464943,-1,-1,261289,349131,-1,-1,520971,-1,-1,-1,482092,-1,332184,68128,-1,455272,858176,807578,-1,-1,-1,-1,-1,311710,-1,-1,-1,599810,-1,137775,-1,-1,889314,359756,974211,598244,-1,152437,731718,155558,603029,973476,53385,-1,118274,907970,-1,-1,537368,84652,422780,71411,150156,399081,-1,244384,12973,-1,-1,-1,79410,939010,608825,-1,-1,-1,-1,169205,-1,-1,-1,966853,24903,-1,-1,-1,849381,-1,-1,888371,-1,-1,622956,615658,495445,-1,-1,-1,839818,-1,-1,-1,-1,578724,-1,706891,-1,225440,-1,526288,-1,777030,73425,133507,959799,409485,-1,-1,457048,-1,458872,-1,627512,35425,-1,-1,-1,-1,-1,-1,-1,384187,121831,-1,-1,-1,-1,-1,-1,543374,-1,-1,-1,-1,744903,280694,765488,688272,-1,-1,778373,-1,194015,189225,724383,-1,-1,-1,-1,-1,503310,-1,-1,71686,-1,-1,596033,161234,368652,-1,-1,679623,-1,939640,-1,769037,216987,-1,-1,806906,652051,-1,958370,-1,876064,848992,-1,340353,-1,-1,615941,-1,-1,-1,-1,-1,232692,-1,675276,-1,654287,-1,-1,-1,442110,-1,897464,-1,394428,35895,-1,-1,-1,616745,-1,-1,918923,919911,-1,916586,178052,210134,-1,391964,420459,-1,-1,-1,474446,242467,-1,102808,-1,-1,-1,-1,253099,-1,637130,-1,216938,-1,270082,936240,805618,-1,-1,-1,-1,667582,-1,281417,883781,-1,952787,878989,233554,934193,-1,-1,-1,527220,-1,614503,493808,102583,-1,-1,-1,603446,-1,-1,409789,-1,-1,-1,-1,106155,526281,-1,34242,-1,-1,419259,-1,384710,144643,-1,663574,-1,-1,232369,-1,-1,-1,474300,609570,543547,-1,-1,93292,-1,-1,511771,-1,264439,38491,151397,647191,594241,423642,262419,-1,389705,-1,-1,-1,-1,-1,645925,-1,59462,-1,840981,376329,90749,827572,-1,257180,-1,367374,987161,-1,880517,-1,-1,122231,58895,537100,-1,128609,109488,353049,-1,107334,-1,-1,805348,474469,310429,-1,-1,226931,-1,-1,-1,461620,727954,-1,47715,-1,116638,835526,238504,307743,608361,67106,540547,959912,185109,350098,211609,509957,996115,-1,45633,-1,-1,515713,22518,437846,84202,-1,-1,670005,916453,-1,93694,66341,917031,84067,-1,-1,317610,-1,130448,-1,304242,-1,-1,-1,-1,518970,578371,674230,-1,-1,612828,-1,874059,134673,655290,737364,111248,658561,804521,969450,-1,656002,174334,-1,-1,738020,-1,-1,-1,497411,925279,-1,782018,695748,198884,824322,37861,53920,747988,-1,926371,-1,-1,-1,157283,-1,73163,402753,471268,53854,952324,329066,437884,65459,372929,-1,-1,-1,-1,-1,669540,349686,-1,244745,-1,-1,-1,-1,97032,-1,599245,-1,792235,-1,-1,-1,-1,514955,-1,14726,47116,-1,480023,-1,921906,-1,-1,-1,-1,-1,-1,316199,-1,395380,797378,552330,-1,-1,3119,-1,-1,884952,115836,-1,-1,-1,68321,495142,433447,-1,-1,13840,-1,-1,816236,762553,-1,894227,-1,267815,426117,634884,58756,254186,-1,176270,297518,-1,-1,37429,-1,-1,128929,654694,753565,750052,312310,576117,730400,-1,586223,-1,-1,-1,-1,-1,431840,946843,-1,71125,80817,-1,-1,-1,520988,835109,315361,-1,32584,-1,938016,-1,-1,142054,103130,283396,499258,-1,-1,146690,349729,903718,-1,-1,876243,-1,-1,175022,-1,-1,382939,-1,661067,-1,936465,371481,268717,235281,525983,-1,766445,982181,734357,-1,896698,127543,-1,-1,258206,-1,-1,727367,-1,-1,-1,-1,293276,434098,-1,86843,-1,70838,-1,462792,-1,-1,512398,386675,398390,757722,354503,-1,651611,508243,897679,996149,-1,147322,-1,-1,979531,-1,638995,691270,854215,976134,270965,704913,-1,-1,259486,-1,470595,-1,-1,-1,-1,997080,-1,238624,4455,925165,460838,-1,901180,-1,-1,972228,-1,-1,427296,-1,492824,355987,-1,-1,92213,844205,571632,500028,294992,-1,318251,-1,-1,-1,124503,-1,-1,886605,-1,8597,-1,-1,-1,403775,512223,202215,272795,-1,262435,-1,8744,-1,393224,-1,745908,88975,-1,44972,188933,984374,691937,750745,908495,-1,-1,-1,707160,-1,-1,955218,-1,167532,400103,-1,-1,-1,-1,-1,189299,365369,-1,-1,-1,-1,600957,-1,-1,-1,-1,366638,-1,-1,-1,-1,663865,-1,831797,670689,-1,542227,-1,-1,-1,205928,-1,968815,-1,-1,616792,-1,-1,796014,-1,-1,107146,-1,58178,-1,-1,716533,734042,-1,106315,102482,366738,68041,632466,147885,-1,357678,669764,-1,-1,215732,89745,737779,-1,883439,838177,412013,-1,-1,-1,-1,782260,-1,-1,-1,393749,526548,135215,-1,501219,-1,60471,-1,39009,608221,-1,614655,462547,-1,396996,-1,-1,-1,-1,-1,174532,669575,-1,-1,-1,-1,567807,-1,-1,-1,717786,770824,-1,-1,54640,-1,-1,183162,571107,-1,498585,670456,-1,589151,-1,870397,-1,739150,-1,778349,574720,-1,244454,-1,820702,326747,-1,8371,724195,130926,744958,-1,-1,740995,201879,-1,45420,786154,-1,-1,-1,-1,-1,-1,-1,46259,959987,-1,-1,-1,529297,520055,906168,-1,-1,212942,-1,-1,-1,-1,911228,402197,-1,-1,939705,-1,-1,721037,638294,351443,-1,981015,-1,-1,-1,-1,-1,277325,-1,924395,98682,-1,-1,-1,828224,678891,960423,767382,592657,-1,-1,-1,-1,-1,528745,-1,976921,992742,221991,435080,588740,-1,-1,880233,-1,989310,-1,-1,510528,-1,-1,905606,-1,190366,409361,-1,113413,-1,-1,890264,303310,962223,-1,-1,-1,-1,328264,-1,638810,233347,241409,72116,-1,-1,950672,-1,-1,943921,393512,-1,-1,-1,281801,-1,368466,38510,87351,222054,-1,-1,149513,-1,-1,256348,-1,-1,343030,875533,311289,752545,894419,-1,-1,-1,263531,-1,980750,440517,956949,-1,-1,-1,-1,389517,61797,-1,-1,-1,-1,-1,538743,719975,-1,695684,868906,-1,-1,-1,643147,431693,644657,590529,-1,-1,-1,713238,991900,-1,-1,289091,-1,208710,-1,-1,-1,-1,381188,488486,-1,448401,453151,285414,-1,-1,776566,-1,-1,212953,-1,-1,-1,-1,-1,962056,323648,653627,-1,-1,649043,-1,951946,-1,989912,-1,-1,-1,-1,-1,662733,557433,607293,382808,-1,986989,61451,763223,-1,516665,972066,-1,-1,-1,-1,422097,780490,343929,49121,498154,152391,-1,-1,457835,429129,-1,189011,971819,932933,652331,-1,-1,-1,-1,-1,285707,575448,99222,-1,-1,-1,218753,513879,-1,-1,989308,-1,703648,-1,447460,988332,910861,503103,456858,395710,630102,143715,758249,-1,687217,587757,-1,-1,591711,144019,943,336198,-1,2252,700270,422858,28879,-1,282884,-1,215580,522310,32110,-1,-1,806138,711790,316745,184862,-1,-1,-1,-1,776110,-1,-1,291556,-1,-1,-1,826923,199788,-1,779655,-1,565991,240374,-1,-1,-1,-1,-1,363579,688848,105271,-1,-1,-1,-1,674881,-1,-1,-1,-1,480193,203987,726379,-1,-1,-1,-1,618993,784953,161682,106525,422915,-1,-1,706565,-1,802760,-1,952110,-1,-1,-1,-1,-1,-1,-1,416690,733152,-1,495891,415943,-1,-1,951885,858477,-1,-1,-1,388829,-1,661026,-1,856617,-1,549316,-1,485656,275008,389968,188907,41972,883812,969553,-1,-1,-1,466448,-1,70505,344069,-1,-1,-1,-1,-1,-1,453227,862047,447644,64074,-1,450565,345493,-1,-1,-1,-1,404035,-1,-1,-1,-1,751438,592949,141433,239332,509013,-1,-1,307008,-1,-1,-1,701584,97216,-1,893759,375945,-1,63930,478573,-1,-1,129615,331108,-1,500384,261292,834103,-1,-1,606152,802986,-1,738469,-1,549745,-1,-1,-1,-1,-1,-1,46816,-1,-1,294084,-1,273724,-1,-1,-1,589215,-1,308539,491372,-1,-1,606890,658980,798108,-1,-1,393482,-1,-1,264181,-1,51848,750200,-1,644544,-1,-1,645632,988,-1,574102,800071,-1,-1,-1,405313,825707,587259,-1,289583,178096,-1,81335,822981,-1,118015,-1,541443,-1,503805,860009,62133,-1,-1,-1,-1,-1,198114,268104,-1,-1,286888,916155,-1,-1,-1,-1,-1,841239,724524,523577,-1,-1,-1,339123,887990,279494,668041,-1,-1,-1,-1,682057,188950,-1,16018,-1,625426,479908,341673,-1,-1,29972,-1,-1,-1,27652,675501,-1,811598,-1,36337,857771,839163,920011,510739,21650,57288,-1,233868,318079,-1,-1,-1,328692,523912,448739,-1,103118,-1,-1,595368,704196,-1,-1,357581,617871,215570,124303,751635,906059,-1,-1,346126,-1,9367,-1,646687,-1,558937,205774,-1,639448,-1,-1,-1,-1,931448,257257,-1,627746,355034,-1,-1,140564,-1,223957,389264,111999,-1,373441,476368,-1,-1,474065,-1,878773,-1,792634,942540,-1,208972,900773,-1,458826,-1,-1,352781,-1,-1,868942,91498,216764,-1,381912,996732,-1,-1,-1,608137,37300,-1,-1,-1,380074,-1,-1,509690,828628,201927,12704,527175,242944,233732,-1,-1,470627,-1,751285,109788,573813,418950,-1,-1,279018,-1,932120,316389,-1,-1,159131,929878,-1,-1,-1,302628,-1,-1,-1,-1,117001,-1,-1,-1,-1,321692,-1,-1,999871,42668,612838,703532,-1,-1,529113,368566,-1,256893,-1,-1,116543,-1,696050,795580,406957,-1,-1,826006,112472,266980,934984,722897,-1,-1,712093,801427,-1,908502,171468,-1,622509,720654,245671,45647,-1,535416,467345,-1,86487,45172,-1,-1,-1,-1,949792,-1,-1,-1,-1,303008,-1,-1,-1,-1,-1,344847,-1,553257,-1,312482,-1,10953,402842,656865,785534,74203,564217,-1,553134,371578,263397,425502,536510,-1,-1,562699,845322,-1,322145,253764,723187,-1,-1,37116,-1,-1,731079,-1,640491,573364,133375,-1,960271,-1,471581,116055,-1,467498,859183,157117,-1,407089,738611,-1,377484,-1,-1,-1,-1,-1,791438,-1,-1,-1,-1,481878,382602,-1,531949,3713,-1,267002,561428,-1,28600,732650,-1,-1,44955,972094,-1,-1,138497,710018,139467,7688,-1,-1,289116,-1,793475,-1,827104,769888,475473,569454,491787,198382,380241,-1,521709,-1,405647,-1,792167,146283,-1,176799,-1,-1,17663,937281,-1,-1,-1,384202,190030,916481,-1,791069,-1,-1,-1,-1,-1,-1,-1,229608,825775,-1,-1,-1,305036,-1,189155,-1,805216,636975,944867,-1,6813,-1,552290,-1,-1,-1,392498,-1,-1,611399,-1,-1,-1,183520,-1,-1,643927,141223,699045,119672,-1,-1,943300,402230,-1,305069,-1,281973,-1,-1,695453,290390,577019,-1,-1,856341,95897,654263,-1,-1,-1,488699,-1,488246,66101,670604,-1,-1,-1,-1,149199,-1,181894,6179,949201,-1,-1,-1,-1,187254,153260,86872,-1,779628,773013,405881,-1,-1,-1,-1,-1,31816,-1,782759,196359,-1,399591,768823,646944,309352,-1,-1,308346,-1,-1,-1,-1,651927,-1,-1,-1,-1,893773,-1,-1,-1,-1,-1,-1,97509,982009,-1,-1,-1,-1,82104,-1,441586,572923,445265,512844,-1,-1,-1,-1,-1,-1,670395,40426,-1,-1,-1,965014,846200,-1,863557,-1,908423,389568,-1,-1,-1,-1,850320,177879,-1,-1,-1,717053,-1,786723,-1,139831,-1,774558,635428,-1,-1,112124,639526,200982,248578,-1,-1,-1,-1,119765,322246,-1,-1,242307,-1,494662,269846,143690,-1,199185,100768,461527,93288,-1,35115,410649,591103,-1,-1,864616,535009,-1,154850,-1,-1,665345,-1,693546,-1,603457,-1,979240,-1,-1,-1,-1,717606,-1,-1,93908,490613,-1,-1,630437,-1,-1,623653,-1,-1,83226,539228,-1,-1,850571,165433,-1,-1,-1,954409,-1,521994,780339,434516,-1,740493,681312,-1,-1,-1,637523,-1,780789,69848,-1,-1,813743,958047,945721,221808,-1,-1,-1,-1,-1,100613,-1,923908,920150,-1,-1,555913,-1,-1,-1,993008,-1,417173,-1,-1,-1,-1,472883,-1,125731,-1,544052,42887,-1,-1,-1,331449,730644,877617,644460,-1,-1,-1,-1,-1,349538,805034,954663,-1,-1,-1,495932,-1,526821,85214,-1,-1,539766,946691,-1,-1,306474,-1,601805,-1,865325,-1,719285,962118,568935,-1,531854,225312,-1,11859,-1,870962,328822,-1,182896,389826,-1,203038,603161,487637,192070,-1,271594,998480,294615,763813,-1,-1,930186,58030,884334,-1,110296,92270,93422,198646,532097,955920,412160,-1,747389,-1,-1,606586,104952,230515,932103,590357,511343,-1,262736,-1,638928,678678,411552,371785,-1,-1,32189,917496,-1,-1,315761,289737,118945,-1,-1,-1,340328,743088,961994,733382,230760,-1,-1,459509,-1,-1,365749,864436,22517,787875,-1,780954,-1,935656,415730,-1,348990,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,597842,802241,-1,-1,-1,964759,-1,512184,-1,21350,-1,227778,-1,499382,631768,-1,-1,389476,-1,-1,-1,-1,536927,-1,-1,162418,-1,538102,189381,-1,-1,-1,-1,-1,-1,-1,-1,891909,768329,-1,-1,565068,-1,-1,-1,-1,-1,-1,-1,904438,-1,139399,253513,-1,364500,543391,545660,659662,828091,-1,376512,896543,385344,890965,-1,-1,-1,-1,952917,713447,530136,525922,753178,747164,669077,-1,-1,170841,448839,-1,-1,669942,-1,-1,-1,-1,373808,293336,916441,956280,210266,825670,-1,75877,437631,-1,-1,543573,-1,-1,439097,510996,869645,356824,128619,532563,-1,-1,37084,513595,-1,-1,483239,724166,362292,-1,687161,645840,59349,-1,-1,-1,-1,378812,804241,-1,-1,-1,-1,-1,-1,296267,326462,906101,-1,619473,49788,-1,-1,-1,181132,-1,-1,419439,429765,-1,-1,-1,-1,-1,774402,882927,-1,369937,728257,888277,-1,-1,-1,134119,-1,-1,-1,-1,316432,570563,628958,565605,630035,649388,632468,-1,103009,493817,-1,-1,-1,-1,-1,635481,872613,-1,-1,-1,55295,22744,-1,318557,-1,-1,576813,-1,-1,988539,240356,481334,-1,-1,-1,675740,-1,-1,-1,-1,-1,118190,-1,-1,497185,-1,172503,933015,-1,397947,794458,170405,830088,843933,-1,-1,-1,-1,682552,888116,-1,-1,-1,470659,-1,353977,44626,748041,785527,-1,130208,53969,-1,313009,538354,-1,182390,559924,455370,-1,-1,-1,-1,408853,-1,-1,-1,-1,847070,302854,884560,-1,262479,806638,-1,478691,-1,697684,381058,454524,839537,134135,529624,459188,-1,619101,-1,-1,-1,-1,5381,971255,-1,65507,-1,639900,-1,-1,211914,-1,-1,-1,-1,-1,801811,-1,170865,553363,-1,-1,270687,959344,456268,393917,307050,202475,-1,-1,967813,661147,659115,-1,604367,-1,-1,554483,-1,-1,-1,-1,-1,-1,96628,-1,-1,-1,-1,156399,607747,636947,-1,-1,-1,295935,-1,717977,-1,-1,-1,-1,617208,-1,366433,828480,-1,113029,922679,216477,893303,961932,447654,175237,521678,-1,-1,348850,965736,-1,-1,870441,449185,-1,-1,-1,532217,-1,-1,-1,447444,585669,-1,464255,-1,-1,-1,-1,-1,-1,-1,-1,980920,-1,-1,-1,-1,-1,746181,-1,-1,-1,635209,620757,-1,929931,42382,-1,625621,435261,-1,-1,-1,-1,648656,-1,-1,488792,550559,601735,-1,934608,7459,427463,-1,483640,-1,-1,-1,167472,999539,64055,683517,551841,-1,214194,724368,-1,-1,985205,995968,-1,-1,861614,-1,-1,-1,-1,-1,196807,48933,-1,-1,-1,-1,-1,-1,61324,562639,-1,129784,-1,304262,757831,-1,282722,-1,-1,779237,-1,-1,82519,521788,-1,133212,-1,503355,-1,-1,-1,802161,-1,835046,-1,871703,282224,-1,528403,-1,-1,-1,-1,-1,-1,148516,79118,-1,105466,-1,-1,-1,-1,297195,506598,-1,184812,951513,-1,-1,72043,-1,-1,728875,682946,-1,686100,171453,912738,-1,585862,-1,-1,-1,-1,-1,-1,399768,601993,57068,-1,-1,-1,955143,829879,-1,-1,-1,434412,-1,-1,-1,281525,-1,267608,337211,-1,-1,-1,-1,-1,839737,520757,16655,498250,-1,118123,-1,-1,-1,-1,905194,-1,131535,646546,-1,-1,-1,273736,623969,-1,-1,399820,477979,643006,-1,-1,284148,237038,721481,-1,-1,417893,6147,-1,-1,478592,-1,-1,-1,-1,-1,-1,930363,-1,-1,-1,180547,-1,-1,513178,180663,-1,596788,204541,479303,816115,-1,-1,80461,587284,-1,-1,-1,-1,-1,-1,59149,517700,795887,314658,10406,-1,-1,263577,763397,-1,497543,351303,-1,222616,-1,814633,224005,-1,87843,-1,578434,228189,484284,239829,-1,-1,-1,-1,398821,-1,489876,529301,-1,992784,21334,542274,287791,-1,-1,110815,885366,-1,-1,817297,-1,-1,-1,-1,-1,86453,165903,-1,860160,836664,944812,-1,-1,175942,709290,-1,665132,-1,900822,-1,828161,-1,738,752618,-1,-1,887782,-1,-1,496286,579853,-1,342737,87762,652181,-1,-1,511796,408370,428074,218555,-1,-1,826931,619007,832059,540554,-1,158056,-1,314108,-1,-1,-1,370315,297622,517928,426181,12790,-1,-1,-1,34498,-1,659133,983688,-1,745117,-1,709160,826020,337600,-1,700258,-1,-1,-1,-1,-1,576967,782609,-1,-1,722530,372073,608565,457156,30555,872086,252334,842993,-1,-1,-1,-1,190898,722461,108657,-1,-1,-1,69349,168931,-1,1433,-1,-1,28335,-1,151764,-1,639911,-1,464644,908816,-1,-1,624961,303822,-1,-1,-1,959292,303005,468541,248225,368998,-1,88824,-1,-1,878690,-1,177963,-1,-1,-1,424686,949169,953626,906825,715680,804308,805829,-1,-1,226450,-1,-1,812918,-1,244206,222954,-1,322825,495549,95810,585121,-1,592379,-1,-1,-1,154291,-1,745491,47791,662086,-1,214338,304673,278840,-1,-1,-1,916006,278215,-1,477161,271617,-1,-1,-1,359661,934157,617779,-1,367043,-1,-1,749995,-1,-1,-1,33359,-1,92507,200677,-1,-1,-1,516514,949120,678455,-1,-1,-1,947542,-1,-1,499485,-1,562440,-1,91541,625305,934474,839476,165480,837003,998803,297050,-1,-1,-1,-1,372976,856075,-1,670886,-1,-1,317439,-1,-1,506631,710662,162129,-1,-1,-1,609686,10947,857709,547172,715768,889681,357079,708567,810004,448111,-1,-1,135112,-1,502670,161260,671024,639552,-1,-1,19080,-1,-1,761642,500741,215097,943204,575907,960060,190940,933690,56887,-1,-1,265915,971883,966472,595472,543780,-1,-1,955769,-1,-1,-1,961497,-1,-1,-1,-1,143883,647963,-1,-1,-1,343239,93884,-1,488090,618958,-1,-1,-1,519987,106231,-1,228751,-1,122322,-1,-1,767575,-1,886733,-1,365546,73450,-1,-1,766449,95815,515533,-1,-1,690839,-1,880691,-1,766099,933873,-1,257199,-1,3602,-1,-1,-1,-1,-1,173757,688706,-1,-1,-1,-1,-1,550789,921196,894981,-1,700938,370779,543564,493313,54288,-1,-1,-1,-1,-1,532688,-1,812174,-1,-1,342528,-1,596898,904155,-1,-1,929557,179393,-1,667195,530676,285643,398341,-1,588399,273501,-1,-1,382925,-1,-1,-1,-1,-1,-1,670812,-1,253483,345776,592610,-1,342728,-1,-1,702824,210363,-1,368620,92069,-1,-1,-1,315136,669134,-1,565213,-1,-1,-1,-1,525441,-1,-1,-1,583200,834028,588435,923152,673494,-1,-1,-1,215,-1,-1,-1,-1,484000,169232,-1,384446,662190,875043,-1,-1,-1,-1,156485,-1,649647,-1,877945,-1,-1,898511,659014,766719,645618,593712,-1,701941,-1,-1,-1,610917,299567,72403,-1,349643,33708,-1,601599,420998,961216,-1,-1,551664,937936,509114,-1,-1,-1,166900,-1,-1,-1,-1,183984,640827,-1,-1,580952,643703,-1,-1,-1,703466,508546,-1,-1,521945,-1,-1,-1,864614,-1,995506,-1,-1,991038,61495,-1,-1,431995,-1,568069,-1,145096,213754,787830,-1,-1,798659,-1,-1,503981,-1,-1,-1,821928,969453,-1,-1,664962,-1,88590,341667,572343,-1,736386,398089,740174,99348,815094,-1,-1,-1,-1,48172,968627,290462,-1,36494,-1,-1,80358,-1,946173,967520,-1,649488,21126,297497,997166,-1,894897,-1,730680,987771,-1,803090,532477,711456,-1,-1,-1,-1,637136,459009,809909,489302,-1,-1,556439,114620,-1,-1,493734,382588,-1,-1,-1,-1,285189,-1,78708,156256,-1,-1,226822,-1,-1,176768,-1,379133,725170,-1,-1,227763,-1,-1,-1,64501,826709,157659,-1,32897,-1,112816,-1,510131,-1,665524,-1,-1,480669,-1,953954,-1,697968,376095,375584,-1,-1,959700,903398,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,611445,-1,144761,-1,-1,-1,-1,-1,980798,409309,-1,-1,28604,-1,-1,278200,-1,869064,-1,535480,951353,276152,-1,82841,-1,756568,674996,-1,656023,100685,119404,-1,-1,837826,-1,221253,-1,645000,-1,-1,868516,-1,203164,-1,-1,-1,-1,-1,-1,703291,376916,515638,-1,-1,340212,219352,931511,-1,964123,132976,-1,-1,300721,359881,-1,147899,782685,-1,-1,318568,363851,467605,-1,-1,-1,-1,-1,220643,-1,-1,-1,-1,584862,388001,-1,-1,449324,-1,880123,-1,-1,492783,969702,160643,-1,782364,-1,632300,572134,-1,-1,324556,827353,753511,-1,631389,-1,719310,278465,707806,211265,-1,330510,67741,532038,-1,377602,-1,417,16957,527878,633000,-1,-1,-1,883602,73556,-1,181182,-1,-1,-1,464365,712858,-1,253912,234703,-1,563342,-1,-1,-1,287936,742430,-1,61730,523802,-1,-1,55421,689787,398640,-1,78771,979146,-1,-1,549735,-1,781114,307070,892194,-1,-1,113811,296539,648710,-1,834569,-1,-1,-1,-1,-1,-1,-1,504309,955456,303667,-1,-1,286510,-1,-1,-1,920157,167014,-1,-1,447821,-1,-1,743242,-1,-1,595270,687960,-1,151584,-1,-1,-1,-1,151015,792439,442191,924472,733246,-1,472252,637605,-1,913459,-1,94388,508155,-1,284167,914267,843003,301644,-1,-1,-1,450392,931037,-1,384565,-1,-1,522252,-1,168120,-1,455263,466868,-1,-1,-1,272879,-1,-1,-1,-1,537892,253428,901476,-1,-1,-1,426742,-1,-1,-1,710744,695654,-1,-1,-1,724476,-1,-1,-1,190874,5615,-1,-1,547692,666651,711156,845309,-1,235029,-1,-1,-1,358171,-1,-1,-1,385266,-1,991419,899746,-1,636554,-1,636810,-1,622348,825280,771543,-1,-1,376210,20991,-1,852977,-1,-1,233189,-1,879284,-1,747797,-1,508257,-1,833876,-1,-1,692554,856059,473334,61888,-1,484204,700190,-1,13856,-1,527918,680915,738658,339518,-1,133320,185932,765199,717275,518033,-1,-1,109545,-1,664461,-1,128336,120391,-1,503201,-1,956518,410812,-1,821903,642856,506641,797196,-1,-1,766482,711108,744200,757402,-1,604403,-1,-1,222046,523736,-1,246783,-1,602651,-1,595564,-1,645004,195321,87883,501353,95467,-1,635265,721338,-1,-1,160741,227363,448846,-1,-1,706283,904314,360237,745138,208335,748291,-1,-1,-1,184790,-1,429588,-1,964419,-1,308901,593231,789409,-1,-1,415980,7991,773268,-1,496508,-1,879072,-1,-1,277985,382315,-1,814926,-1,778459,309632,-1,94352,152089,824038,-1,-1,-1,-1,-1,-1,-1,86123,-1,282540,-1,-1,650678,-1,-1,733718,446187,732498,147470,322861,639811,-1,855591,915478,-1,-1,-1,-1,-1,-1,332800,-1,963629,-1,-1,-1,-1,307407,-1,-1,28468,-1,-1,-1,109552,-1,285451,479273,-1,467651,-1,-1,130446,-1,-1,-1,141145,-1,905875,-1,-1,-1,733580,149161,738261,957562,675686,778566,277116,107881,-1,360917,-1,799668,771251,743958,608065,791350,864694,-1,-1,-1,783810,-1,812571,-1,-1,-1,270783,458378,-1,-1,301877,-1,19067,533095,268427,-1,654157,747515,888221,115584,-1,99905,-1,-1,44189,572574,885204,-1,-1,458366,351825,-1,-1,-1,-1,-1,-1,757695,-1,665800,71706,952239,-1,568035,-1,966710,-1,182343,583775,-1,-1,-1,-1,-1,600451,190791,-1,886897,-1,-1,-1,465903,-1,777673,-1,612920,695915,-1,471287,-1,-1,436885,-1,863916,128686,348846,-1,-1,-1,124037,-1,-1,356373,72417,-1,-1,1087,638932,690039,824814,-1,246944,880899,-1,212312,102373,-1,406833,-1,154682,-1,451604,-1,-1,145749,348631,-1,-1,51446,-1,596516,281920,785335,-1,-1,-1,506727,-1,571524,804915,-1,429998,-1,-1,503097,-1,755837,-1,339882,-1,809842,887293,544703,88061,276875,-1,-1,881645,-1,-1,328066,-1,-1,-1,-1,-1,-1,-1,-1,225186,912331,395484,-1,-1,240823,273685,-1,-1,248213,470978,-1,511668,-1,-1,-1,-1,957049,410657,527250,-1,-1,768139,202312,-1,818846,89605,-1,377448,-1,265311,865860,-1,840964,-1,-1,-1,-1,-1,-1,-1,51491,237310,-1,-1,733777,-1,259949,-1,-1,119690,-1,-1,605566,-1,201737,524610,-1,751467,-1,-1,428334,824758,-1,619708,-1,395100,209257,-1,-1,-1,459955,410989,-1,-1,426590,148047,-1,114947,963485,-1,739386,-1,129902,969404,27830,766301,-1,687857,739030,486495,-1,903267,-1,-1,153888,461640,570385,-1,21840,511405,857522,383568,-1,-1,415876,596708,-1,-1,956043,462817,-1,-1,522326,709657,-1,-1,365044,681262,468980,421359,937502,490037,-1,-1,-1,336302,-1,-1,-1,17354,594458,-1,335091,851466,394795,-1,-1,-1,391642,-1,-1,340405,404360,719526,264047,903514,-1,-1,432621,311361,522411,-1,174132,-1,-1,-1,-1,-1,579675,-1,549492,-1,719137,231379,-1,753329,-1,-1,-1,-1,-1,-1,259729,777687,-1,300101,749690,202585,-1,-1,288301,181551,238063,498025,-1,866428,772002,-1,-1,-1,173143,-1,138619,142634,-1,313794,-1,-1,655626,229941,958385,-1,733295,-1,30319,-1,-1,-1,959686,-1,481983,-1,899500,470161,401694,-1,193881,667389,-1,81924,-1,829462,551957,457281,-1,-1,680608,-1,346618,391968,867800,-1,-1,-1,507231,208572,-1,856317,527614,-1,-1,717335,830331,-1,-1,-1,957528,329817,509145,116787,-1,-1,-1,547088,-1,-1,80333,-1,987774,-1,-1,-1,-1,864608,-1,26583,-1,-1,718455,-1,-1,774285,382888,91679,-1,3389,-1,-1,-1,676037,-1,-1,130984,940915,-1,-1,713593,-1,193348,220516,-1,227314,-1,239903,-1,956613,-1,-1,855422,-1,194818,75822,-1,-1,69660,-1,-1,770446,695607,-1,-1,-1,-1,-1,-1,-1,-1,529875,-1,-1,-1,-1,750649,-1,970505,588257,-1,10297,-1,643663,29531,-1,-1,598242,-1,336315,147389,297475,384547,429740,221188,300943,436027,-1,-1,-1,-1,810370,919375,344770,854263,535636,360318,-1,-1,-1,296490,379383,83544,459025,206772,-1,366924,87969,-1,-1,-1,429119,562677,-1,-1,-1,670712,100581,-1,-1,199370,622786,50857,526777,741957,210791,-1,-1,-1,-1,-1,-1,453692,-1,974487,394169,145480,255207,-1,-1,154371,680526,102158,425075,615487,-1,265152,882363,71930,-1,68011,57038,162825,-1,-1,-1,448914,274835,-1,231374,532448,-1,35985,-1,356212,-1,100414,189520,711401,704005,511276,883677,284770,545085,844231,-1,2305,770556,18421,566074,245102,292696,806068,726416,-1,-1,444921,-1,942657,592733,53196,977275,322697,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,275233,83079,763607,673795,-1,921529,-1,-1,-1,-1,-1,277381,-1,-1,571089,327691,150250,-1,-1,972921,267306,-1,550370,401462,-1,-1,983312,-1,-1,-1,-1,50478,-1,-1,875726,393083,589853,305048,671058,683558,-1,721329,-1,-1,832805,-1,183526,-1,383986,315967,-1,-1,811708,-1,-1,936926,412829,513194,-1,199982,824445,-1,-1,737560,538358,142026,447187,54321,942235,785042,-1,-1,202009,-1,77046,528182,-1,874426,-1,420087,-1,-1,552270,460897,167682,-1,-1,-1,-1,-1,25132,-1,-1,513696,511352,673952,342440,272967,-1,-1,-1,959129,-1,-1,-1,404419,-1,-1,-1,434080,551822,-1,537936,965795,-1,-1,-1,211016,-1,651000,-1,869546,923479,-1,95330,939102,449396,932073,172675,-1,699081,-1,836283,-1,-1,447650,797133,532653,38817,-1,-1,930083,-1,-1,-1,981353,-1,-1,468103,34967,-1,355273,-1,153627,83866,-1,-1,122722,-1,992599,-1,439132,359935,-1,272070,215935,951293,244701,301859,108451,-1,751421,-1,-1,-1,185125,825134,744378,44764,335262,-1,550996,476382,687282,-1,-1,715288,55686,564891,-1,-1,407653,639101,617678,624284,-1,-1,-1,-1,-1,281714,-1,769808,-1,-1,-1,816010,423549,-1,343598,-1,-1,502807,-1,949610,-1,826597,-1,301233,-1,451077,576682,-1,-1,-1,373287,-1,252038,378354,58968,-1,-1,732117,278685,130168,-1,-1,-1,349209,-1,-1,244236,-1,641935,-1,-1,137105,446704,401268,-1,22044,908437,884511,-1,665813,-1,-1,-1,-1,-1,-1,469158,489442,-1,-1,798189,297472,-1,-1,-1,-1,397033,-1,829712,208690,-1,528851,628446,-1,-1,-1,-1,342772,-1,371250,-1,711175,-1,-1,-1,968385,-1,-1,97418,68119,-1,409801,-1,52508,813702,993228,-1,601221,-1,732811,-1,-1,96554,-1,736779,933869,39761,-1,-1,744482,841262,805100,412325,-1,308769,124719,229557,-1,491995,519374,188166,546866,-1,271768,494884,885646,-1,580339,-1,-1,-1,491314,883831,693005,605860,813190,-1,-1,-1,-1,-1,624939,-1,626706,541456,-1,149609,-1,50671,-1,-1,821799,-1,-1,-1,-1,519776,-1,-1,503509,532327,-1,-1,-1,217113,-1,-1,410889,78934,69622,-1,667567,-1,723138,-1,-1,-1,729495,484335,-1,798259,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,399852,-1,-1,93872,889851,-1,208395,523267,-1,-1,-1,-1,620082,91398,799597,-1,189597,308709,896088,357347,622524,-1,-1,183260,-1,-1,-1,115225,320600,281934,-1,51436,262786,-1,-1,-1,-1,-1,-1,257254,-1,-1,-1,261636,-1,-1,-1,305704,-1,-1,31037,-1,737722,-1,986365,932539,932769,440207,77727,814625,815361,-1,435675,-1,-1,-1,660848,538029,538239,474165,709322,154337,728415,-1,-1,753033,-1,390406,-1,332479,560805,483084,-1,480918,-1,-1,-1,-1,545982,-1,367730,-1,-1,950499,614156,-1,-1,583150,-1,-1,-1,676955,-1,-1,-1,-1,811499,136458,-1,580421,151775,870521,36825,-1,870007,-1,-1,-1,652607,299640,-1,589021,547072,-1,792645,547141,376157,586131,-1,213808,-1,622838,833642,-1,371078,720165,-1,984560,673751,718127,586922,574992,351242,-1,-1,555574,-1,641972,-1,-1,-1,-1,-1,504495,694189,-1,-1,620858,126427,-1,828018,468552,359616,-1,-1,-1,251188,359122,941563,962049,591802,627995,-1,-1,227191,-1,-1,388643,705245,143538,-1,-1,856645,-1,594547,520224,-1,534937,-1,474299,820993,683606,-1,-1,986736,-1,-1,-1,494597,493844,-1,400345,-1,-1,178685,356786,-1,-1,601837,143584,-1,775161,-1,-1,-1,46234,-1,-1,-1,79911,-1,643901,908500,-1,689558,463797,-1,-1,53134,-1,35043,-1,-1,-1,-1,690989,754410,373694,189031,-1,551867,-1,-1,-1,-1,239641,-1,545115,-1,994460,-1,153097,929634,-1,382210,-1,-1,685623,351947,-1,494369,-1,469571,-1,-1,-1,-1,152273,-1,561472,-1,200399,793831,481944,-1,687494,-1,151162,-1,754171,699326,930784,863894,-1,521368,-1,-1,458115,-1,-1,-1,642818,-1,750392,17533,39449,370850,324345,-1,423418,-1,-1,563959,452331,-1,18837,-1,236464,470918,76435,107630,57282,-1,-1,208408,-1,-1,-1,558538,-1,311394,-1,-1,677106,615181,104641,351430,-1,-1,734210,-1,318451,-1,621909,-1,-1,658560,-1,869989,918155,-1,-1,-1,-1,-1,383519,-1,-1,-1,668503,767303,-1,300725,-1,-1,-1,-1,-1,-1,814010,-1,-1,603804,785267,-1,828843,-1,695929,252558,623215,-1,-1,437933,-1,-1,977329,-1,-1,272950,-1,663572,-1,804109,226466,380541,-1,-1,194880,-1,632933,-1,-1,636914,539482,-1,-1,-1,97310,973749,-1,-1,-1,-1,-1,-1,518965,999969,671814,461543,-1,179789,327089,-1,-1,-1,-1,-1,-1,-1,-1,280069,-1,-1,158104,81079,112514,-1,-1,377689,-1,652502,673126,254266,-1,188655,-1,546605,543923,339107,-1,136118,36866,892884,608830,-1,923106,185723,351892,415736,119805,92809,994946,122670,-1,162941,-1,589158,-1,653044,705508,146737,456356,549374,-1,100005,853392,681289,660029,-1,157701,-1,139590,-1,-1,451969,383819,-1,-1,269803,789345,549396,21448,214005,481436,-1,-1,983908,214853,229902,-1,-1,-1,-1,-1,-1,-1,518290,-1,-1,-1,-1,601276,-1,520205,-1,-1,-1,-1,-1,-1,727264,-1,55072,573909,426630,157842,-1,-1,-1,-1,392022,876683,-1,-1,-1,516763,-1,984189,-1,725601,-1,-1,-1,927300,-1,-1,488536,238006,-1,715521,39636,556250,792848,103576,72089,916630,31658,192055,-1,-1,-1,-1,-1,978144,-1,836577,747750,-1,-1,-1,402815,-1,-1,-1,-1,851525,628677,-1,321514,94955,646086,391782,-1,795450,755177,115027,-1,-1,597157,666733,-1,519533,-1,-1,39594,99115,-1,-1,-1,-1,-1,-1,-1,624539,637103,193051,297634,-1,-1,342186,-1,445169,-1,-1,141783,-1,809561,688749,-1,-1,-1,-1,-1,-1,-1,520313,488260,678035,147492,-1,982108,-1,243934,513821,-1,-1,-1,942086,329839,75766,-1,-1,184632,-1,133739,601166,716764,-1,724907,9687,473844,-1,-1,329492,-1,-1,-1,-1,539148,779528,-1,753440,339350,359289,-1,-1,-1,488938,-1,-1,414050,523064,577600,62065,699303,878741,-1,-1,974813,93681,-1,46309,-1,-1,-1,-1,945506,652630,425456,546426,-1,-1,-1,149177,-1,413747,-1,132102,-1,755104,717482,219028,65748,982653,-1,337483,-1,484796,-1,833848,-1,-1,-1,268765,-1,674603,176682,7153,718690,-1,-1,331370,-1,422089,-1,162284,383449,-1,-1,-1,-1,668617,-1,-1,-1,-1,-1,75269,223774,-1,-1,-1,-1,196155,658572,-1,-1,287427,-1,148218,369306,-1,-1,606664,-1,567284,-1,-1,73315,-1,-1,-1,315533,156309,973229,500732,-1,-1,185453,-1,16788,230384,-1,396093,-1,-1,-1,-1,-1,-1,11623,231580,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,229082,-1,-1,462636,-1,65034,-1,711183,833806,178984,834999,-1,2223,-1,-1,933734,34554,-1,-1,983700,239,-1,810904,617345,-1,-1,123013,467515,-1,-1,-1,-1,17962,865992,756036,-1,-1,-1,874081,-1,-1,223518,600676,-1,-1,-1,335273,-1,-1,-1,413546,-1,728615,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,921659,767043,-1,-1,400772,94509,219283,-1,-1,-1,-1,-1,397153,342287,375655,-1,-1,-1,-1,718808,719231,-1,-1,335817,991387,-1,135827,878261,389577,809128,91120,-1,776229,-1,-1,-1,-1,364849,-1,847915,951399,13422,-1,468882,542105,282953,963150,-1,-1,691260,685011,458099,-1,-1,-1,-1,-1,758763,483547,953133,-1,425584,937130,-1,265062,336830,-1,-1,-1,-1,-1,641225,-1,417449,-1,823046,721970,-1,-1,984413,-1,27433,934136,-1,-1,-1,604979,-1,-1,-1,-1,723626,693933,-1,856168,-1,-1,-1,510080,-1,-1,926493,166646,-1,-1,-1,-1,-1,357252,666766,907583,-1,-1,723910,-1,707899,652844,256871,920015,183291,-1,595886,-1,244560,-1,716186,714053,871644,204823,596932,-1,-1,981058,-1,-1,-1,93272,488367,752152,-1,714449,43082,615138,-1,918274,97880,-1,433656,-1,666793,-1,336369,-1,400159,834836,-1,547173,638234,40168,-1,356406,317395,-1,-1,-1,-1,-1,82008,976577,-1,-1,-1,468743,-1,-1,318537,246857,-1,-1,-1,-1,189673,744685,-1,-1,-1,443311,204839,334310,-1,711237,132964,-1,355989,-1,557341,605359,682461,-1,-1,-1,181080,-1,599597,-1,-1,-1,79641,662859,116240,-1,-1,512131,650357,245455,-1,931687,-1,295981,-1,-1,-1,72193,537088,-1,928068,-1,-1,-1,57106,-1,430227,-1,-1,853675,-1,875164,-1,-1,392572,348962,-1,995185,-1,-1,588978,-1,515934,405929,-1,-1,281271,910843,-1,5425,-1,721636,636672,-1,949623,560290,467618,-1,-1,571663,628774,-1,-1,616671,326829,-1,-1,-1,-1,858701,-1,-1,246694,842375,-1,34858,-1,820882,-1,361948,-1,-1,169067,-1,866011,560197,714941,-1,917297,689733,696767,797423,-1,-1,797915,-1,699968,347135,-1,-1,376289,-1,-1,-1,184008,-1,-1,-1,-1,-1,-1,-1,644058,968728,632800,80389,-1,666105,-1,-1,511489,-1,-1,-1,-1,260431,-1,39246,-1,439525,549009,815786,-1,175313,327828,-1,-1,636197,691748,740879,-1,-1,574406,-1,543038,-1,-1,-1,-1,972508,-1,312413,584181,818035,12144,-1,876743,-1,768927,649917,-1,-1,-1,372405,-1,-1,-1,894787,-1,-1,362776,-1,2231,724392,750595,-1,988588,36424,405179,24760,-1,-1,-1,407032,980944,701260,968073,-1,535352,210862,103589,-1,328227,764996,352668,-1,-1,629156,-1,492573,43207,-1,-1,31722,-1,504302,-1,780487,595631,41693,680799,58448,731554,509433,567139,-1,-1,259374,487865,991002,652295,-1,128230,-1,-1,-1,872840,-1,555564,487273,65323,-1,-1,465865,361404,-1,707550,-1,47933,579253,-1,980188,-1,369416,-1,-1,521187,876974,46953,-1,492969,-1,-1,-1,-1,-1,850644,-1,373385,68837,758445,145741,966274,-1,-1,998475,271123,256379,-1,-1,-1,615307,-1,645011,-1,-1,-1,-1,-1,272888,43980,-1,484978,759330,921969,980595,-1,515532,537238,865792,603933,227926,-1,-1,-1,-1,495390,-1,869061,-1,-1,-1,630732,-1,-1,464553,-1,725598,-1,-1,804436,-1,-1,291153,220084,481544,545746,185132,872950,-1,613769,789136,813407,-1,339643,-1,-1,-1,-1,435254,-1,92928,-1,-1,575807,-1,78675,-1,-1,483986,-1,-1,-1,-1,154599,303987,43895,-1,-1,315945,525980,681679,-1,694023,250737,-1,671999,664331,388349,-1,776677,-1,-1,-1,-1,-1,-1,-1,-1,833057,-1,707712,-1,144516,-1,-1,886999,-1,-1,725932,-1,332923,304462,657247,-1,683030,-1,-1,-1,-1,213522,-1,-1,65675,781686,471196,-1,628339,109013,249289,848998,672070,-1,-1,-1,138112,190852,311719,696762,-1,-1,-1,682422,41407,-1,-1,-1,-1,336803,-1,189296,-1,-1,954937,434559,690828,664169,-1,95799,701443,409763,999742,-1,-1,892967,-1,146307,-1,657998,914919,451111,-1,-1,-1,44473,-1,-1,566664,-1,-1,106806,-1,-1,-1,-1,-1,505451,-1,791351,-1,662664,-1,-1,-1,-1,28745,-1,-1,707203,583840,159768,628494,199633,545967,-1,-1,-1,-1,584121,34229,886399,732132,696909,411142,-1,-1,35867,853124,597339,263344,622028,-1,-1,-1,-1,657687,746608,-1,798903,-1,-1,-1,-1,697947,-1,612757,346142,16453,-1,848887,664105,962096,-1,-1,-1,55514,-1,572711,233923,-1,238228,877809,100199,-1,-1,-1,-1,712872,-1,-1,507133,-1,-1,179403,137160,-1,269330,-1,-1,915229,-1,-1,-1,698688,823776,173750,-1,-1,435074,-1,-1,-1,221761,-1,-1,856323,-1,-1,-1,-1,254935,-1,769814,-1,649428,478218,772348,692322,539443,147192,-1,576736,945498,124039,-1,619330,-1,-1,897616,-1,348649,577451,313092,797925,-1,409206,-1,24934,-1,-1,825946,568592,-1,297257,904238,76475,-1,596607,720394,-1,-1,247712,-1,-1,476406,808674,904835,468326,245892,771973,645943,-1,-1,-1,-1,798536,692301,236308,831488,621414,-1,-1,914760,334502,923078,962996,273436,986513,521987,684844,598894,-1,143322,183117,105094,335424,-1,162824,-1,248701,757265,-1,603663,494402,-1,876585,326642,-1,-1,-1,-1,-1,-1,-1,-1,-1,535197,332697,-1,-1,-1,-1,-1,332732,592115,425913,836539,609945,251849,-1,797455,-1,-1,383582,591485,-1,224594,712570,-1,232725,443885,345843,-1,-1,903474,-1,155893,-1,498269,590073,-1,-1,-1,740437,818890,-1,971542,284934,-1,-1,-1,415156,-1,848188,-1,997966,-1,-1,-1,504783,-1,-1,-1,664158,339339,-1,-1,-1,-1,-1,867976,137774,363028,27294,-1,-1,-1,-1,-1,-1,-1,664419,372332,-1,-1,-1,-1,-1,337729,-1,558880,456819,473058,70149,520686,-1,868110,-1,356516,-1,-1,-1,775278,446888,-1,597310,-1,486235,398333,-1,-1,929451,632093,-1,366284,115371,78136,852098,480287,-1,374080,-1,800852,-1,413782,416892,59054,-1,252432,707722,-1,-1,-1,-1,397963,333665,629569,-1,-1,53028,-1,-1,689580,-1,-1,-1,685966,-1,-1,-1,108887,238832,-1,922509,-1,870872,923829,-1,582784,-1,-1,-1,-1,656401,486512,-1,-1,98121,157237,-1,804601,353351,-1,842405,672182,-1,-1,-1,-1,698236,795247,809659,567947,704736,-1,-1,-1,-1,-1,-1,387666,-1,-1,-1,-1,340263,-1,32107,130323,604765,-1,389188,323566,664021,519043,168546,-1,696390,-1,-1,354222,133976,993476,-1,778190,-1,-1,-1,-1,983999,-1,-1,-1,-1,-1,-1,-1,761695,-1,-1,319170,-1,217410,-1,-1,185518,823592,-1,206956,-1,-1,-1,633534,876137,435973,-1,554521,-1,777454,111140,-1,202363,55244,381215,-1,301005,617053,869620,96073,-1,-1,-1,-1,-1,999535,587713,-1,-1,-1,-1,-1,801624,-1,86767,-1,-1,-1,125443,-1,903459,-1,206117,-1,6621,-1,-1,-1,-1,691163,-1,865524,507774,-1,-1,988846,-1,272907,-1,-1,-1,-1,-1,732793,-1,817252,510808,-1,-1,-1,914732,-1,240060,-1,400394,-1,-1,-1,-1,-1,222876,709740,933667,390141,-1,-1,-1,-1,-1,356445,-1,616655,927144,-1,74850,128855,533406,-1,-1,-1,686373,23610,198806,850384,182052,-1,-1,819247,-1,-1,-1,-1,115894,-1,902528,-1,-1,468587,332106,-1,-1,-1,-1,-1,-1,-1,995796,587584,216267,400859,-1,578536,-1,-1,-1,-1,87605,-1,282694,53030,336018,-1,-1,517226,252180,-1,898040,-1,-1,-1,-1,920949,-1,-1,-1,-1,807823,-1,496462,-1,-1,876720,-1,-1,920565,-1,909591,-1,-1,-1,71188,-1,804998,-1,894293,735379,-1,682297,672660,963085,867255,-1,986186,897330,-1,-1,-1,-1,806415,-1,39847,-1,517614,927328,459443,949338,-1,-1,806321,-1,-1,855149,90459,255056,-1,670707,578262,-1,-1,-1,-1,-1,513252,-1,-1,696937,941335,-1,371768,-1,979554,-1,279713,-1,-1,-1,992076,32050,-1,676815,-1,-1,-1,-1,228822,508054,-1,-1,-1,215786,-1,145534,-1,-1,839260,25924,-1,-1,-1,-1,-1,-1,387031,577476,668966,148263,-1,-1,387864,832926,537045,-1,843015,720844,54676,739055,-1,-1,889843,-1,183812,351212,-1,440762,-1,750142,-1,-1,867677,208191,721194,194885,-1,74176,-1,-1,-1,203682,-1,-1,339516,176152,-1,856280,591913,-1,-1,359237,225243,924515,711593,-1,-1,956421,301065,960459,-1,-1,-1,101043,-1,993705,786170,-1,-1,761766,-1,711127,-1,36000,696498,788114,708389,133523,323091,-1,-1,163647,-1,-1,708423,-1,-1,-1,450938,-1,-1,652821,473404,368763,602404,-1,-1,848536,-1,-1,323762,713408,175874,-1,-1,-1,-1,533681,-1,-1,333209,262774,-1,-1,571184,-1,-1,766923,887511,-1,-1,180233,-1,-1,583730,-1,317561,-1,558177,-1,-1,-1,902594,-1,-1,-1,-1,809415,-1,-1,963902,938688,-1,-1,-1,565798,942359,-1,884991,545681,-1,-1,-1,-1,539519,-1,146712,252102,-1,640102,-1,-1,-1,-1,-1,-1,592976,-1,-1,981649,303087,344979,-1,391651,652021,304747,-1,-1,978288,844436,996563,-1,325950,36371,-1,85691,-1,23525,-1,270069,-1,-1,702289,-1,-1,-1,564160,122462,-1,786124,25619,952359,78137,76446,785581,-1,-1,-1,935628,741713,483607,839029,-1,109097,-1,800004,153438,-1,-1,-1,-1,640545,587550,-1,611889,-1,403477,484252,209755,197390,914933,409286,-1,896497,393738,894442,864852,447082,-1,-1,-1,-1,890383,355549,23013,-1,390074,-1,424808,517685,-1,833193,-1,-1,700613,-1,-1,834004,717152,-1,-1,154264,-1,-1,-1,-1,737960,309323,-1,-1,20342,-1,-1,-1,109331,94682,615091,356958,919105,306307,933059,-1,724427,446859,-1,-1,-1,763742,-1,-1,588539,-1,-1,651418,609522,110751,-1,-1,-1,-1,-1,123060,205531,-1,802214,252446,-1,98463,-1,-1,637201,873071,201040,-1,-1,588983,549247,-1,164007,723237,-1,-1,645062,599286,-1,36715,630289,-1,-1,-1,-1,294330,-1,-1,391816,-1,-1,-1,-1,-1,-1,-1,277520,-1,-1,903940,419148,796699,150211,473814,-1,9643,125737,866847,-1,-1,-1,532641,903825,235698,499942,568848,509270,79825,834045,257136,967226,-1,405581,365539,-1,806185,509087,74374,968624,518847,378140,-1,-1,457403,347780,787002,-1,-1,-1,718397,366622,-1,189963,-1,-1,-1,-1,-1,949534,294203,717581,928488,781725,968199,-1,153490,-1,-1,-1,232850,-1,-1,-1,376667,404837,-1,-1,-1,887834,-1,678120,-1,958814,-1,-1,-1,-1,833159,790374,845862,676343,253336,-1,595953,123703,-1,820705,-1,51957,496996,-1,886029,439894,-1,974973,-1,575628,354720,437000,-1,-1,193047,509026,-1,638814,-1,-1,-1,123929,-1,-1,431076,536327,-1,151028,280045,488128,280971,236866,-1,801377,-1,-1,-1,-1,-1,-1,-1,996880,80500,-1,-1,-1,-1,-1,362985,172528,671070,-1,-1,-1,-1,941255,-1,-1,384261,951412,345368,-1,642703,951508,184981,-1,-1,-1,-1,648962,-1,72852,13515,-1,-1,228284,-1,-1,-1,131138,258632,-1,-1,-1,5202,913764,-1,10743,-1,984301,309084,-1,522967,-1,-1,-1,869827,-1,805287,553640,-1,-1,-1,519972,-1,156628,-1,517629,314508,581482,-1,-1,684162,-1,-1,-1,839210,360891,160612,332750,447408,-1,-1,-1,249440,676756,507856,119320,179863,-1,550777,572340,-1,-1,943918,565652,-1,486434,972929,564584,-1,514862,-1,329477,427899,-1,-1,-1,939123,443465,-1,12399,609161,-1,-1,712547,-1,747624,-1,316580,151268,-1,-1,530319,-1,603101,504231,-1,236238,597368,967853,291915,240725,499054,669079,-1,884589,531414,-1,-1,-1,933884,-1,15915,-1,935615,-1,-1,632821,526782,558733,200970,294152,486723,-1,-1,-1,690052,24112,-1,500341,500618,-1,-1,-1,933375,-1,-1,756860,142576,608230,-1,40411,-1,-1,-1,884179,-1,-1,-1,996287,-1,54649,284142,376,2428,406315,497763,-1,-1,398735,28836,448703,-1,156605,-1,474236,436131,56989,149133,842920,571929,-1,-1,-1,601799,-1,-1,120829,551701,-1,-1,135045,-1,624442,-1,151145,-1,293039,-1,-1,-1,-1,387941,286924,-1,-1,980611,-1,328022,-1,179673,-1,527555,-1,-1,-1,-1,308261,86649,-1,609236,839898,330745,-1,-1,543024,-1,404492,-1,217284,-1,262572,841791,898660,-1,880676,-1,721494,-1,863917,-1,-1,428858,196018,168177,-1,614616,68913,48542,-1,774515,-1,-1,306649,-1,810359,726625,-1,415210,-1,155522,-1,-1,66073,-1,-1,-1,114355,263753,47511,252615,-1,594279,-1,-1,-1,-1,-1,136226,-1,370442,-1,966987,486902,703751,-1,817973,-1,-1,940140,121044,-1,-1,521209,-1,798806,268251,948408,975649,38854,-1,-1,-1,-1,-1,-1,995043,-1,-1,-1,449649,-1,-1,-1,-1,-1,-1,-1,-1,40611,-1,693208,-1,-1,-1,-1,996478,-1,-1,-1,-1,-1,235636,96903,-1,630635,73996,124843,641492,625748,621277,-1,702832,-1,-1,871032,378700,-1,289815,527660,-1,12266,632917,931250,464839,783689,839115,-1,210301,-1,778533,-1,-1,-1,-1,733957,755238,-1,-1,21023,588790,-1,-1,-1,78219,-1,-1,111949,851134,479913,670386,939327,80729,429575,-1,-1,662840,421767,-1,915401,-1,-1,-1,851690,601416,-1,757855,234649,233593,138950,-1,71692,941412,-1,-1,-1,733922,-1,-1,598555,255573,-1,-1,-1,-1,-1,344904,877909,-1,-1,705344,-1,-1,-1,250338,-1,282844,-1,549024,896993,-1,376318,375802,233575,-1,405660,-1,-1,621460,179836,-1,733761,-1,-1,-1,807856,-1,-1,-1,-1,603650,183497,381931,842692,581383,870612,386906,-1,974156,-1,-1,229631,973924,-1,545244,-1,607485,248286,-1,708235,738547,-1,-1,417200,117327,832630,-1,-1,136173,227084,-1,307334,-1,-1,-1,-1,-1,788723,446347,290929,-1,891920,-1,351563,605885,-1,222069,722488,826283,-1,-1,193280,-1,-1,815729,784400,-1,-1,356248,-1,315465,-1,-1,694714,29200,904761,-1,-1,-1,-1,869335,640818,680314,551424,70080,-1,-1,-1,-1,-1,-1,-1,599712,-1,487214,649733,-1,-1,-1,-1,197,291680,197898,-1,209114,705219,-1,-1,169829,-1,-1,107037,-1,866767,367151,-1,-1,-1,956357,725465,-1,281853,-1,449787,-1,873213,195683,786672,-1,87638,156065,-1,-1,-1,-1,-1,-1,-1,-1,497523,-1,457138,310495,331833,336886,-1,-1,-1,465367,-1,-1,-1,902468,-1,-1,-1,-1,550643,144049,-1,-1,-1,475430,-1,749003,260284,-1,580084,-1,-1,851759,-1,-1,291797,499943,177087,-1,187503,-1,240088,651906,577706,-1,-1,-1,-1,364717,280328,148679,-1,-1,-1,27514,-1,-1,-1,881364,-1,-1,-1,336131,963129,-1,808054,-1,351957,-1,-1,-1,-1,-1,-1,905418,544412,337631,497184,51766,594304,163126,497784,-1,889639,624902,-1,876111,-1,-1,-1,268831,519882,55440,-1,-1,427397,-1,-1,-1,-1,-1,-1,754172,363760,-1,715884,674350,810494,-1,315930,-1,-1,105389,43829,434477,-1,271418,-1,-1,784671,-1,633019,-1,-1,-1,80722,-1,-1,-1,-1,973344,822655,-1,599869,632842,-1,342883,-1,296130,-1,-1,-1,-1,-1,78422,293061,-1,-1,-1,833252,413937,811824,-1,740596,-1,740037,-1,-1,573141,-1,-1,-1,-1,-1,175536,-1,493310,252502,-1,-1,826196,-1,537081,830285,628429,127683,-1,-1,-1,-1,94735,-1,490067,720712,-1,766983,-1,-1,537801,-1,588966,-1,729008,-1,-1,-1,-1,-1,294472,-1,-1,-1,-1,977061,-1,367714,874233,525443,540078,551377,-1,541786,521126,146245,-1,-1,754947,837827,-1,103025,745845,-1,579423,808796,113074,-1,-1,191283,445797,198969,548359,249898,-1,-1,814881,-1,-1,-1,802064,-1,-1,149183,316728,-1,-1,-1,-1,-1,590228,896268,-1,433674,-1,-1,97320,946280,735860,506497,573522,-1,4179,-1,645398,85918,-1,418915,-1,-1,217482,-1,-1,536795,-1,803545,333759,288070,778253,609074,-1,828567,518326,-1,549602,-1,-1,976373,-1,417264,488024,795391,949013,-1,670374,722288,-1,646453,599605,-1,248120,-1,-1,-1,280644,-1,-1,193974,106026,646326,194503,750017,777167,736027,446754,809751,-1,161650,957219,283864,-1,141060,359947,224785,-1,366336,946817,352148,-1,490720,540950,618400,856422,832327,216391,304024,542510,-1,-1,240332,-1,-1,211604,-1,-1,-1,917855,388284,613871,-1,180193,-1,-1,-1,737452,360107,-1,635806,-1,36409,-1,8904,743633,-1,673018,-1,235714,-1,-1,767676,-1,-1,932711,102844,732730,-1,-1,400985,836446,-1,-1,-1,-1,155217,-1,576666,-1,943114,842588,-1,-1,567589,819783,-1,-1,550007,421020,-1,531430,162628,57864,852147,112632,-1,-1,735482,-1,865496,-1,-1,-1,-1,-1,269914,110873,206908,-1,-1,973619,-1,-1,-1,458479,-1,215672,347525,610790,526402,241624,-1,418034,815086,-1,-1,-1,-1,316690,299866,-1,-1,-1,596386,899189,671025,804219,-1,459535,-1,126700,974825,475510,-1,-1,557817,-1,900064,860849,-1,-1,-1,701166,-1,-1,-1,-1,-1,568240,660294,-1,-1,-1,-1,311314,567268,-1,236454,252788,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,706804,27661,791034,-1,-1,-1,-1,-1,-1,39466,-1,591828,-1,-1,-1,-1,494575,44772,66729,-1,198313,707445,-1,830061,-1,643336,-1,915942,-1,294318,228109,-1,-1,687465,661433,-1,-1,-1,495521,639590,693379,234112,-1,970443,619282,-1,3419,2845,510055,-1,-1,-1,154247,-1,488579,-1,-1,-1,358797,-1,898073,-1,332698,-1,957397,-1,-1,6882,-1,121277,-1,-1,392110,-1,225896,-1,-1,-1,822617,-1,843304,-1,474009,396100,781869,-1,-1,322623,532429,-1,658291,775059,174821,-1,388458,-1,-1,233479,457220,575286,463826,164330,-1,-1,919289,-1,255823,-1,-1,-1,89277,658135,878737,188422,337328,-1,260114,-1,897412,743824,-1,-1,-1,-1,-1,551559,139610,875836,389728,848428,505704,-1,431631,-1,-1,742902,441551,-1,587488,537866,-1,-1,-1,-1,-1,743886,386574,2922,-1,-1,522537,-1,-1,961519,-1,-1,878480,-1,-1,-1,355623,-1,-1,528790,-1,-1,733521,794191,-1,-1,838077,374736,-1,-1,927555,-1,760884,-1,-1,918427,-1,-1,732271,959891,-1,9961,-1,-1,342790,-1,342288,-1,-1,772448,369521,-1,-1,530530,-1,463502,-1,-1,-1,673248,779013,845300,920912,-1,-1,-1,-1,252833,-1,495014,-1,59308,851299,-1,-1,645982,300287,775102,67003,-1,-1,994597,199645,363684,-1,-1,-1,-1,-1,742783,-1,135746,942185,339255,101795,-1,405434,-1,-1,-1,-1,308809,436926,-1,-1,-1,-1,-1,-1,-1,-1,116380,394494,-1,-1,754477,-1,-1,656312,-1,-1,-1,390928,69046,-1,-1,678067,-1,213349,657249,-1,-1,210526,-1,-1,32440,290542,317827,-1,-1,195682,244011,-1,-1,-1,365111,-1,-1,-1,682281,-1,-1,270855,289595,-1,81452,396574,-1,-1,-1,96696,-1,-1,-1,-1,-1,251525,320206,942205,781773,-1,698241,972580,-1,833896,-1,-1,-1,-1,431626,479130,408897,-1,320372,230948,699576,-1,202639,205739,375839,-1,-1,932234,-1,571888,-1,-1,-1,522920,-1,951249,336678,562613,949566,477092,-1,801731,-1,453122,273424,-1,-1,353152,-1,-1,-1,558772,-1,227546,845184,479289,516530,-1,364221,35076,-1,620209,-1,-1,633359,-1,-1,448009,-1,-1,450940,312402,392334,772108,-1,-1,404500,96214,662594,-1,69271,-1,643932,-1,703617,620438,-1,185348,88548,541468,-1,467660,931614,814008,269212,63831,604868,275485,-1,-1,-1,226657,885868,698619,736453,-1,649041,455720,-1,-1,-1,148237,-1,571684,385820,130863,-1,-1,832908,767230,-1,-1,-1,-1,653895,-1,-1,275524,-1,46449,-1,-1,395685,-1,-1,345755,-1,-1,-1,256758,-1,430714,4967,-1,-1,-1,-1,-1,607864,-1,-1,-1,814017,710330,366687,847945,-1,-1,-1,-1,627530,329950,-1,222514,-1,753873,408909,427002,280320,966644,481076,440014,384373,-1,901019,947773,566360,789842,880907,-1,-1,871899,-1,-1,-1,-1,894221,-1,585384,-1,673973,-1,-1,-1,101665,-1,324647,-1,930902,82300,530051,250824,-1,-1,-1,310962,-1,162876,807753,486914,-1,238735,-1,-1,-1,-1,386202,865008,37528,-1,310525,679174,538048,-1,982752,68651,-1,828798,-1,-1,230579,-1,784778,923319,787307,-1,-1,108952,8665,-1,398489,-1,669681,320506,-1,132629,483131,-1,-1,-1,-1,-1,639059,-1,-1,-1,929503,61147,-1,-1,-1,-1,682908,-1,549170,27193,-1,-1,60339,-1,554124,504121,-1,196738,573997,-1,407617,587309,-1,-1,-1,-1,-1,279439,787527,-1,626915,919704,319024,345250,-1,-1,20733,590379,-1,683375,938260,612162,126504,-1,708476,-1,689259,-1,-1,-1,874109,-1,567259,513587,-1,573511,482389,50414,75834,789444,983544,980851,792168,932677,689510,448324,502540,894801,733381,-1,-1,849594,-1,215333,-1,753417,189925,134794,-1,432923,198876,919102,450921,127436,702817,579384,618449,196461,-1,-1,-1,-1,562989,-1,972080,533368,564211,-1,-1,18676,574253,208430,-1,990753,694864,626973,-1,-1,614257,770533,-1,-1,378402,104277,-1,-1,488922,-1,70924,306423,-1,-1,-1,-1,-1,152752,-1,686375,532669,775854,705809,301737,264351,206677,719740,-1,107204,810087,-1,96080,711706,525104,205980,-1,-1,391802,656702,-1,839434,95520,-1,135198,619773,513732,900932,509052,950224,-1,653988,-1,-1,-1,-1,-1,-1,170631,984676,-1,-1,474071,645694,98851,-1,713834,511173,-1,-1,-1,195714,-1,-1,-1,349532,516872,825964,872046,736667,805591,-1,896702,768696,-1,735599,-1,494676,543214,803975,-1,989100,947852,375760,482325,-1,-1,156134,529330,942685,896391,623915,583373,109940,364538,-1,78590,-1,152427,960409,707866,573607,-1,943752,-1,-1,605700,-1,639291,-1,-1,-1,-1,620117,-1,986565,488805,-1,-1,554875,359305,129832,-1,-1,312000,927840,550165,-1,722599,-1,621816,489659,692832,515350,-1,-1,932192,634264,-1,1362,517031,564868,148363,-1,-1,353389,-1,-1,-1,950219,255684,313590,719158,-1,-1,-1,923787,-1,639475,454371,622303,-1,-1,-1,-1,-1,-1,839720,-1,672671,-1,651575,-1,-1,-1,-1,577195,629188,70549,647296,-1,-1,-1,-1,-1,821215,-1,84365,-1,-1,-1,-1,-1,-1,354342,685140,141185,874805,-1,927966,-1,-1,767554,-1,563271,605994,-1,315730,415895,786340,-1,305011,-1,-1,-1,382324,174972,313367,55059,472646,239896,-1,-1,215571,-1,867665,-1,368450,-1,185408,-1,601729,505358,-1,-1,-1,524943,-1,-1,-1,-1,695216,-1,-1,919449,920190,711475,-1,-1,224588,295545,824356,619441,-1,-1,-1,105097,-1,-1,-1,-1,-1,-1,-1,995941,247227,133304,-1,-1,-1,483171,-1,-1,234318,-1,66751,336942,-1,-1,226907,-1,-1,-1,232748,554548,-1,28002,220986,900269,-1,-1,679610,619673,985226,318575,-1,-1,-1,-1,-1,-1,-1,325680,223288,-1,120211,-1,359227,602036,643119,727888,63063,-1,-1,439283,-1,-1,478531,710432,-1,-1,-1,138155,663502,639145,912097,266654,-1,-1,662345,-1,473777,134758,267168,874859,-1,681466,346704,-1,967332,824316,878429,843551,-1,-1,538459,-1,52119,893914,801723,341965,-1,-1,-1,-1,198236,676008,968041,-1,-1,915565,399203,-1,804339,389753,-1,-1,-1,-1,-1,-1,102709,-1,-1,653551,668133,-1,53221,660425,149013,110755,9027,999056,907505,543844,-1,-1,-1,-1,-1,677001,-1,129396,-1,-1,-1,-1,-1,-1,639048,592715,834006,516401,-1,-1,-1,671632,198869,-1,118131,-1,600530,-1,829031,-1,-1,-1,-1,726563,548938,168602,902499,771209,670529,960688,134653,620402,87317,177181,315694,238124,218206,-1,324835,-1,348994,-1,870950,972558,-1,104191,-1,546339,637030,230137,349244,857469,-1,971336,-1,241853,-1,877122,613152,113573,753106,-1,653279,-1,-1,-1,-1,360494,-1,-1,347906,-1,-1,-1,-1,-1,-1,-1,126745,-1,981039,304644,-1,6687,940818,-1,664096,-1,-1,-1,793112,507152,862936,582645,-1,329533,293910,-1,-1,590168,-1,-1,-1,-1,721761,78095,-1,231677,-1,-1,717701,969908,138574,-1,334943,-1,996943,973864,499261,551898,12316,209030,-1,651273,-1,-1,806350,-1,191879,670653,-1,-1,216473,-1,193205,332868,122662,-1,-1,668271,435634,-1,441784,-1,-1,277639,580527,973492,-1,881381,-1,243156,490042,572405,-1,-1,791078,84621,797673,809199,-1,81943,302870,502298,-1,-1,783995,-1,535624,977170,471173,-1,-1,137747,-1,480238,656604,-1,152150,-1,471377,-1,9528,96031,512434,-1,-1,-1,-1,-1,-1,-1,822293,252141,68875,-1,-1,626049,310500,215747,-1,-1,-1,-1,-1,-1,209102,-1,-1,-1,-1,997682,-1,532076,18391,-1,323506,-1,475924,960620,-1,-1,-1,-1,-1,106169,-1,266984,-1,-1,-1,-1,-1,-1,686143,705839,-1,377310,-1,721386,508872,985315,453184,-1,892408,-1,-1,-1,-1,-1,-1,296435,-1,-1,286630,-1,-1,-1,842809,-1,131252,-1,-1,980086,-1,219814,876760,754342,108283,973166,-1,898126,-1,-1,691712,958301,-1,349250,-1,-1,-1,-1,-1,-1,214054,-1,-1,-1,831804,122451,819933,-1,-1,310460,60264,679189,505078,-1,-1,-1,-1,-1,781125,-1,493542,837537,274332,-1,967752,255546,412942,-1,613700,744324,-1,-1,-1,-1,301669,-1,-1,-1,-1,-1,182941,-1,825126,-1,473594,-1,838306,52435,-1,-1,726851,-1,-1,204870,860399,911792,459324,292471,213196,436477,528086,-1,843177,478303,-1,796955,-1,543665,-1,192557,46209,96441,-1,413568,-1,67575,-1,-1,-1,-1,477739,639063,-1,-1,911818,260340,-1,-1,-1,-1,621371,795975,-1,345562,327611,-1,185342,-1,-1,-1,-1,395617,-1,-1,659759,-1,16968,-1,-1,981107,742629,-1,-1,-1,-1,-1,12945,-1,-1,-1,924920,700037,261435,236615,-1,488926,128969,948173,363113,218492,-1,-1,-1,-1,-1,-1,601143,561103,-1,-1,294582,863416,753360,820169,-1,-1,245249,-1,-1,13397,-1,698985,-1,-1,104676,431033,-1,-1,320288,-1,-1,-1,170079,-1,-1,-1,-1,157814,-1,474523,168994,953641,704559,357329,759086,855473,-1,516331,321984,862539,-1,-1,917391,-1,-1,263929,845201,415667,648879,813759,133750,983899,-1,847481,-1,277503,16990,-1,-1,660734,993300,-1,645119,382814,272323,235797,-1,494629,-1,-1,899454,26546,-1,347164,442667,200238,-1,-1,91294,-1,-1,981252,-1,490439,805941,-1,-1,326957,-1,210616,987612,-1,-1,867002,952589,-1,-1,-1,-1,577933,425768,-1,-1,700396,-1,-1,-1,-1,678262,221257,-1,-1,795805,339354,63669,-1,-1,667385,-1,654686,-1,-1,-1,-1,220748,419354,-1,-1,-1,-1,208291,360549,699631,-1,844309,794336,-1,355645,-1,494407,-1,-1,-1,394346,-1,-1,-1,-1,-1,-1,-1,470680,-1,852477,748114,-1,791514,603460,329027,735561,-1,-1,-1,-1,-1,423058,196611,525668,-1,-1,160688,-1,448785,-1,267952,529423,-1,-1,-1,-1,-1,39629,-1,181932,-1,637089,-1,613351,35938,996994,-1,420276,959658,862718,-1,-1,-1,399277,-1,692561,-1,454012,-1,42279,552241,226570,-1,773143,27139,145628,-1,-1,954411,-1,762855,258771,87415,259856,948905,-1,-1,43686,-1,-1,83740,485346,-1,-1,-1,158983,-1,-1,-1,663510,842875,-1,462230,723131,603853,-1,-1,-1,208059,687835,-1,-1,734124,709956,645165,-1,-1,-1,-1,534607,-1,-1,365187,892954,-1,-1,168730,-1,-1,-1,157989,126804,-1,-1,-1,654707,-1,747540,-1,777813,870737,742078,-1,85169,947289,451313,-1,423786,-1,419778,740913,-1,610946,44322,825845,-1,246063,842301,-1,326214,-1,398580,-1,535816,877312,-1,44577,-1,-1,888332,856175,-1,81712,925325,-1,538638,-1,-1,-1,678954,122934,248229,-1,-1,-1,970806,371325,-1,-1,945630,621136,562346,-1,-1,992376,-1,-1,279440,-1,-1,543147,-1,-1,804050,-1,-1,-1,-1,-1,85423,687347,-1,720450,171791,537343,-1,-1,835520,862672,-1,-1,-1,-1,10779,961126,229486,-1,-1,-1,-1,554978,-1,480515,634846,-1,766866,32970,-1,611796,-1,50849,230247,-1,-1,-1,223166,955825,187144,-1,481655,214165,880378,214424,-1,-1,287787,-1,-1,521292,588744,-1,-1,-1,-1,637896,-1,-1,727783,579397,-1,425066,-1,635902,-1,45490,-1,644775,-1,111665,495284,-1,-1,874093,-1,475506,-1,-1,-1,-1,-1,591066,239857,-1,-1,409269,-1,-1,892393,-1,-1,-1,-1,541304,-1,-1,227710,602208,-1,-1,-1,-1,422869,-1,-1,997075,465288,151701,24058,186474,-1,-1,442729,-1,-1,10018,872405,-1,-1,-1,667390,497205,-1,-1,450186,835984,601175,-1,-1,-1,916373,140936,314901,362480,7469,7374,624721,673922,-1,-1,-1,-1,537215,591354,15769,-1,-1,642480,144941,-1,-1,-1,118145,178220,585779,532381,32639,882227,-1,320926,-1,607,836885,-1,997914,252568,58526,-1,-1,-1,758312,85068,-1,909038,480393,-1,-1,-1,364836,-1,911417,-1,716366,326730,-1,-1,298045,872370,-1,-1,594090,-1,648646,-1,393964,842783,63815,-1,-1,21012,860505,579738,-1,664837,14022,-1,-1,518650,403996,150116,-1,-1,280977,-1,427970,229887,675352,-1,-1,-1,365885,-1,-1,57745,754716,118470,-1,-1,-1,-1,346807,-1,427580,-1,-1,-1,-1,-1,-1,-1,775689,-1,564292,359311,638561,-1,582682,769220,-1,353040,400856,-1,-1,9157,-1,-1,259125,-1,813364,310076,149123,42302,-1,-1,204523,-1,180618,-1,962494,-1,-1,405140,-1,-1,-1,50318,-1,-1,-1,157436,-1,923526,-1,-1,-1,245759,672410,384978,-1,-1,-1,29645,-1,-1,-1,-1,979688,-1,-1,-1,102009,942704,-1,768617,797081,738376,-1,476402,-1,-1,-1,587748,263771,747956,-1,-1,-1,-1,-1,448622,679294,-1,-1,301488,-1,748997,323937,520548,890859,-1,351213,-1,-1,429244,93693,481528,597736,578024,748724,-1,-1,234601,-1,537610,-1,532547,122835,173734,236836,344217,-1,907007,-1,308242,-1,847316,345323,709590,-1,834815,68708,-1,-1,-1,-1,198910,-1,861875,432847,527485,774998,146580,-1,-1,712765,383517,-1,689434,-1,945836,-1,-1,550480,-1,-1,515752,105995,-1,-1,-1,22651,991571,-1,416696,-1,119485,-1,-1,-1,352528,-1,-1,722350,-1,-1,-1,429066,774026,-1,-1,-1,-1,-1,837661,846142,-1,-1,-1,673555,-1,752395,-1,-1,212722,421852,-1,663584,455926,-1,-1,-1,208160,-1,140229,537900,94298,647058,612906,236616,533099,347959,-1,903462,92590,796858,-1,-1,311635,651790,653631,311737,412385,91601,-1,558657,938682,-1,-1,-1,-1,-1,497102,67113,170948,-1,211615,722483,837854,-1,-1,-1,-1,-1,-1,-1,-1,-1,895434,-1,299553,-1,-1,-1,622485,630376,78553,-1,220894,-1,667178,566540,350838,865764,120659,-1,227919,-1,-1,396029,-1,401863,136671,628639,172824,-1,-1,-1,-1,489733,-1,-1,-1,44812,147260,117973,-1,-1,325023,-1,-1,599855,-1,234506,-1,-1,939553,907172,865984,-1,949887,772109,-1,-1,936386,714445,-1,862204,524380,-1,-1,-1,389642,-1,-1,124983,-1,-1,-1,916905,-1,522277,-1,-1,83707,704416,-1,-1,406823,-1,-1,-1,255151,-1,-1,80829,-1,373410,631791,917065,-1,486026,344104,-1,-1,568395,-1,259211,848177,197708,637673,667830,754940,518725,292606,480747,250402,473448,-1,-1,814467,468937,430565,964781,-1,906248,982012,-1,119223,-1,384669,138704,586505,703366,629526,-1,410031,-1,966891,-1,-1,820435,-1,514565,689956,-1,210052,-1,-1,630334,-1,-1,-1,211710,-1,379411,-1,-1,842537,-1,605410,861305,-1,932510,267027,408425,973164,957857,392540,-1,-1,751286,388563,-1,-1,403914,-1,-1,-1,-1,270130,580804,-1,-1,911444,-1,828367,-1,-1,-1,543616,-1,8721,337138,827905,-1,-1,646038,531869,35890,-1,-1,139403,214261,456971,-1,281035,-1,552678,-1,-1,-1,97080,109419,646665,-1,-1,944427,394375,272475,317902,-1,596316,-1,403787,-1,521154,-1,100099,-1,732525,-1,192011,-1,-1,-1,-1,159415,-1,440453,820923,-1,-1,581928,-1,-1,344921,-1,198547,846251,907447,850458,582241,-1,-1,437496,-1,-1,714816,-1,665458,-1,-1,712996,-1,981884,-1,-1,-1,14855,-1,763100,-1,352992,674256,-1,-1,737169,-1,62089,486683,-1,-1,-1,35710,-1,367686,281587,794623,-1,243029,106871,135022,425013,672281,419789,-1,712529,-1,-1,-1,-1,-1,553547,-1,184153,162621,-1,-1,-1,962699,155084,-1,-1,926783,-1,187523,-1,470284,-1,-1,-1,-1,30232,-1,391444,576188,-1,-1,763200,-1,255274,221076,-1,598823,703,389439,358066,-1,665454,963967,519399,-1,-1,-1,-1,-1,583275,882656,194387,-1,-1,502394,-1,141443,-1,-1,693866,682048,846095,-1,916926,824403,439784,749535,935002,-1,-1,-1,-1,-1,671722,-1,-1,-1,-1,-1,-1,-1,-1,-1,494071,869380,-1,470141,-1,-1,-1,-1,-1,379752,579230,383892,-1,-1,-1,-1,65224,644005,766507,-1,-1,-1,698391,-1,855216,825554,-1,349386,662567,-1,-1,-1,-1,384479,62313,-1,-1,-1,-1,104543,790764,-1,-1,-1,-1,296543,41809,-1,-1,-1,-1,-1,941432,88976,886500,-1,-1,-1,-1,867374,-1,572420,-1,-1,638462,-1,-1,-1,97389,-1,944892,361368,423143,387969,939226,359844,667924,-1,543100,-1,-1,910223,505186,-1,-1,-1,219179,998423,770005,-1,443936,-1,286978,819813,-1,951206,-1,311164,-1,154047,-1,-1,614192,-1,-1,10351,-1,-1,-1,224837,-1,865946,778385,133415,645559,956631,-1,-1,951099,-1,-1,-1,-1,-1,934028,673050,261148,96872,-1,-1,107824,-1,954046,-1,549584,810888,396817,48260,379958,475437,728918,-1,200728,787269,269563,-1,685119,-1,391362,-1,-1,-1,-1,-1,-1,-1,145051,726554,62137,-1,-1,-1,502618,269509,-1,-1,-1,603461,422140,97089,-1,109391,-1,853216,583519,-1,-1,-1,-1,817367,424567,902838,897364,893617,-1,463050,-1,385634,-1,-1,-1,150580,305879,-1,749059,-1,-1,205050,-1,962347,-1,-1,-1,537824,-1,49290,945937,94829,-1,633626,-1,773309,367211,-1,-1,820527,94294,821221,-1,-1,199553,-1,960159,-1,-1,-1,-1,-1,-1,439101,850893,443483,-1,588875,590891,-1,207393,-1,693243,-1,315631,296043,-1,714017,-1,-1,-1,152092,877205,587720,9874,613122,-1,-1,-1,910425,813183,-1,-1,-1,642503,-1,151227,929837,-1,-1,338795,881942,386261,-1,-1,-1,858370,-1,-1,-1,-1,222391,781944,-1,-1,-1,925309,-1,-1,-1,-1,-1,813240,-1,644842,491846,-1,730235,820700,-1,-1,327186,363825,-1,-1,-1,257835,-1,460017,-1,752110,224870,-1,485224,730193,152250,-1,-1,-1,917437,671160,631817,-1,392180,-1,691129,773891,-1,-1,445382,520649,-1,-1,489055,-1,577816,673580,14789,-1,782220,-1,928364,496403,409151,157759,794233,322426,539597,390794,543621,769820,-1,-1,276099,745533,412985,753168,561320,588937,-1,-1,351464,787803,862859,-1,413333,-1,-1,-1,506627,-1,-1,-1,-1,-1,-1,-1,-1,-1,305975,-1,-1,-1,-1,-1,-1,-1,623607,328034,-1,962786,319425,-1,-1,73016,-1,694558,512280,797717,-1,-1,-1,593106,460086,164921,685576,984562,-1,941182,828524,54594,-1,649948,618911,774550,620605,578256,128961,-1,-1,-1,120774,-1,713398,-1,795856,846851,-1,-1,501216,278754,391514,647503,-1,693719,-1,-1,-1,-1,537068,178325,626693,-1,-1,275659,764606,-1,-1,-1,198182,-1,237288,106182,205152,282682,120770,882425,572449,567762,972462,98865,-1,570969,119587,-1,895658,212689,647077,386737,-1,860352,-1,451444,-1,-1,-1,-1,265590,-1,486999,-1,-1,-1,144098,629013,78567,707998,-1,494206,111584,-1,457558,-1,6473,321688,-1,-1,141828,932372,-1,78045,-1,400115,132190,-1,48609,556586,221683,-1,-1,-1,450697,-1,-1,901088,-1,-1,-1,-1,752822,-1,111347,-1,-1,-1,-1,771734,66542,-1,-1,644068,-1,848039,559851,570286,-1,520729,-1,546314,-1,98824,-1,-1,-1,-1,345618,-1,142434,930395,785124,-1,841946,334312,-1,18659,773308,-1,-1,875838,-1,-1,745926,-1,114157,-1,327002,45077,155018,102549,-1,-1,-1,72677,-1,835880,851129,215460,507619,-1,657224,422280,-1,518491,873373,470828,-1,-1,893949,-1,722108,-1,-1,209548,-1,407349,-1,470425,-1,-1,606907,-1,-1,-1,266707,-1,737979,-1,-1,-1,-1,-1,-1,217607,-1,693408,128781,-1,953424,-1,650104,-1,-1,621194,559504,860393,-1,-1,254210,-1,287891,986747,-1,360721,-1,555925,727277,-1,496087,-1,652726,-1,520157,735699,104534,183284,-1,326296,17863,974189,262069,-1,387211,135264,-1,-1,539653,350983,489527,-1,-1,-1,-1,876929,933907,694367,528590,-1,52560,346427,930193,548250,-1,-1,-1,936591,-1,912724,-1,564860,15807,292124,220057,940064,-1,607879,185956,-1,-1,-1,-1,-1,-1,-1,112233,-1,-1,-1,-1,988348,-1,-1,-1,241451,605644,-1,525374,648356,607650,-1,-1,-1,534269,326051,-1,-1,-1,32073,-1,-1,299613,555935,-1,-1,-1,-1,-1,-1,-1,-1,-1,373976,-1,437527,477699,853939,-1,-1,417318,-1,150675,-1,-1,-1,517860,743249,562393,830454,-1,-1,-1,-1,361033,308673,971015,-1,268307,143792,-1,-1,33873,25026,-1,-1,-1,27130,-1,-1,101126,-1,741812,256577,99828,693212,-1,499268,450068,620730,-1,-1,465601,832019,394029,-1,79593,561513,448035,-1,-1,179457,-1,-1,-1,-1,-1,-1,-1,-1,-1,252770,-1,495381,715000,452045,-1,-1,298791,108557,-1,814382,35992,-1,-1,-1,507448,-1,-1,618630,-1,844357,-1,667022,362496,958333,383481,795754,-1,-1,56832,453107,513400,-1,627909,-1,486077,-1,-1,-1,-1,-1,-1,104522,44864,-1,-1,224313,-1,884650,-1,570266,84773,-1,842803,188560,907102,-1,427702,529922,216368,67628,-1,222172,814510,-1,-1,-1,94464,-1,261544,-1,953757,129125,-1,483546,-1,542940,-1,347355,825518,889218,-1,-1,79970,232050,-1,163926,535087,340324,-1,-1,-1,-1,268945,-1,574095,-1,-1,502655,290500,-1,-1,-1,530501,-1,998520,895964,-1,262939,849417,86895,-1,-1,-1,-1,322409,-1,238559,272853,-1,857052,413572,995466,16256,-1,394103,240544,-1,-1,162161,-1,-1,914279,970643,-1,-1,623602,750504,335275,-1,-1,402623,207530,93042,-1,679012,458493,523619,-1,181722,610574,983234,106381,563601,-1,668362,-1,542875,-1,-1,-1,789728,-1,699421,108852,672905,211703,935587,692171,322722,226787,918672,-1,-1,72609,-1,-1,-1,-1,-1,-1,523050,-1,5594,-1,-1,-1,222029,-1,-1,991500,166448,-1,718051,-1,-1,77025,-1,882117,736526,918361,-1,765400,713176,-1,-1,-1,-1,670291,468389,95094,-1,558231,-1,-1,889722,877575,-1,-1,120608,-1,-1,972254,-1,-1,-1,394633,356796,-1,454545,190309,-1,-1,285659,-1,-1,27892,209125,981328,-1,624071,806832,760422,749743,581949,-1,588691,354467,-1,-1,-1,562366,870289,348016,399057,-1,748239,-1,315872,-1,-1,-1,579391,-1,-1,-1,810110,709027,-1,-1,-1,479008,-1,-1,-1,770809,48963,-1,362218,-1,-1,341284,-1,72390,-1,-1,-1,113046,400251,-1,82988,560737,453014,761597,237098,742478,-1,-1,-1,317598,571944,-1,14039,-1,-1,183676,630059,-1,-1,547337,-1,-1,529706,853270,459977,-1,-1,-1,-1,131855,945457,643725,258741,-1,-1,484832,-1,952422,-1,-1,-1,688365,-1,-1,-1,330608,604847,-1,-1,259579,-1,-1,447615,-1,421484,661597,-1,-1,733889,-1,412204,-1,-1,-1,-1,487004,739420,20201,451464,-1,54218,-1,-1,-1,-1,-1,-1,75618,432226,-1,868536,369529,755697,-1,894776,-1,570565,960782,-1,406259,582029,737897,-1,785977,-1,-1,-1,789106,375158,-1,467005,-1,244187,-1,370511,942248,-1,680516,757898,409711,215013,29297,-1,988320,904896,-1,-1,994769,-1,718857,-1,73715,-1,-1,-1,-1,-1,901940,51853,850804,256715,-1,-1,677299,-1,-1,879185,187800,-1,334262,-1,534296,2490,40471,329221,583607,498276,-1,-1,-1,457692,914239,476960,-1,-1,642626,-1,523456,-1,-1,-1,450911,550708,-1,-1,-1,-1,-1,-1,-1,-1,741219,142409,889831,-1,-1,-1,-1,-1,8281,-1,-1,528535,605888,556960,789719,-1,-1,-1,359127,-1,626421,919908,-1,-1,-1,67837,-1,724866,-1,-1,-1,-1,-1,511556,804150,-1,-1,541519,-1,437546,498019,-1,411316,111002,531268,502752,-1,-1,853687,764998,453492,903438,-1,822608,962185,-1,-1,324726,-1,65720,728001,-1,301163,122923,-1,154496,197509,950502,-1,313055,341880,29581,990201,-1,-1,340624,-1,171575,570838,980929,-1,993835,892412,-1,-1,-1,-1,-1,6862,136319,-1,357948,649466,635046,-1,282461,326961,-1,-1,600936,897515,-1,-1,829807,-1,-1,776550,-1,415735,685357,922753,-1,185597,-1,-1,379713,250022,-1,909932,457415,-1,685213,-1,816460,-1,-1,757160,-1,770943,275975,290951,-1,-1,920342,93397,-1,-1,521215,-1,-1,547077,296800,734336,877555,-1,-1,505728,739890,-1,-1,15656,748259,-1,-1,-1,-1,247103,-1,-1,771367,81333,723674,972304,337567,24444,-1,744496,-1,291094,942890,252426,-1,164738,-1,602467,360157,59057,369387,-1,-1,-1,865047,-1,-1,-1,-1,290420,650396,52336,-1,234943,457345,-1,-1,51947,414552,-1,162204,122129,70279,65080,-1,135282,-1,-1,-1,849930,698364,-1,812833,76385,738817,-1,971983,-1,-1,487641,660125,402235,-1,548620,119648,223949,418551,747820,511750,-1,-1,-1,237061,372360,-1,846796,585075,709362,-1,794705,470054,-1,-1,764758,131460,-1,-1,-1,343252,468244,-1,-1,-1,-1,-1,-1,770672,-1,-1,410344,-1,369574,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,169488,489486,-1,-1,303077,173801,453295,-1,-1,169157,-1,78958,-1,-1,-1,379631,-1,-1,290519,931620,-1,-1,-1,-1,-1,59623,987042,-1,-1,615762,165257,-1,529118,-1,-1,-1,262551,-1,-1,-1,-1,-1,-1,450860,555886,572453,830779,-1,-1,732346,442707,954375,-1,217221,210761,-1,163268,-1,-1,-1,-1,-1,83668,-1,-1,-1,-1,-1,205874,-1,-1,370622,602678,523178,635736,-1,-1,-1,-1,489190,445660,-1,551538,-1,-1,840697,-1,788188,801732,896968,-1,447006,-1,-1,995513,-1,-1,-1,-1,-1,-1,504210,627760,460222,-1,-1,669251,797291,950894,-1,179066,-1,617049,-1,476172,-1,-1,-1,489548,-1,957764,-1,-1,-1,451403,252362,3477,-1,-1,-1,-1,-1,-1,434678,342211,366204,370429,586327,-1,709189,-1,401149,471239,286593,-1,551537,208565,-1,181376,385225,-1,-1,855750,-1,654511,-1,600525,-1,-1,314818,62358,-1,182222,-1,-1,376872,601258,683754,-1,529998,-1,-1,-1,551737,319649,-1,824122,-1,-1,-1,30345,-1,-1,550232,-1,-1,-1,-1,92237,-1,-1,-1,-1,827796,742532,518740,906538,-1,21845,-1,-1,659943,-1,793748,-1,516129,69545,-1,-1,-1,891276,289945,-1,59751,-1,-1,743823,846774,210222,-1,-1,899557,794419,-1,-1,202919,449466,276672,167226,-1,-1,397455,920646,-1,-1,-1,155452,814345,-1,-1,-1,-1,893447,116579,-1,-1,97672,682050,-1,-1,-1,263961,-1,406859,771661,-1,862456,-1,115342,988434,-1,752302,-1,-1,-1,-1,432054,-1,-1,903533,802991,482643,415703,717324,121689,771059,-1,-1,710356,121047,-1,905759,92821,853059,608970,442504,-1,993128,369575,279031,-1,688486,-1,-1,168090,-1,692837,241127,244744,-1,357802,-1,-1,-1,-1,-1,-1,-1,256484,-1,-1,883045,346847,-1,-1,903607,707628,-1,185296,-1,-1,-1,-1,-1,-1,-1,-1,983748,920943,-1,-1,-1,112278,-1,-1,-1,-1,606699,894965,-1,498111,170678,356632,653298,-1,-1,603490,538370,512547,284825,-1,488590,663771,468054,889458,987914,78054,-1,175006,302588,-1,706319,-1,293213,-1,729174,736553,527128,-1,469813,-1,-1,602810,-1,-1,-1,-1,412413,576049,472804,-1,511470,135958,-1,338256,689451,-1,631180,765212,-1,102463,681033,392581,-1,111618,717733,-1,936202,-1,126835,623330,189223,-1,-1,-1,-1,848121,-1,-1,-1,282393,618279,-1,271036,-1,969165,-1,10180,-1,534859,680748,-1,523532,-1,779203,176552,-1,-1,987360,-1,-1,347683,-1,-1,331880,-1,-1,-1,41159,-1,863208,-1,-1,394217,875385,-1,-1,-1,-1,-1,890176,293805,811185,-1,742151,788040,183769,150248,338959,-1,560518,686138,481988,-1,-1,-1,233067,-1,487141,-1,794427,116175,153273,458662,876232,323583,135625,672153,845382,-1,-1,515066,696249,58016,-1,623859,163789,-1,548379,-1,-1,46444,-1,-1,266882,-1,-1,-1,688035,-1,854651,348789,-1,717209,625473,-1,-1,989754,-1,160570,-1,-1,983448,-1,-1,435545,426058,-1,-1,-1,234493,124629,-1,439092,788657,186562,-1,306539,-1,440929,82883,423622,-1,-1,395579,-1,774202,536985,357505,-1,977027,502839,-1,160154,423426,-1,723597,-1,-1,339124,909337,457699,-1,467932,-1,-1,322834,433039,951941,-1,944371,820502,747773,-1,-1,-1,-1,544942,-1,-1,-1,176022,915046,-1,-1,344150,209788,-1,505696,-1,486219,-1,-1,-1,-1,194790,754813,-1,515780,622435,752856,166582,200426,-1,-1,130084,-1,-1,583596,373055,-1,585888,-1,-1,-1,-1,-1,-1,732072,-1,-1,675246,967932,-1,-1,-1,41487,-1,610786,-1,-1,-1,296392,67265,-1,-1,-1,308997,6902,-1,-1,-1,329330,212088,-1,978084,-1,-1,-1,71354,274609,599024,-1,-1,219107,-1,-1,-1,390692,120566,622943,-1,-1,-1,240230,338175,-1,786038,-1,758092,-1,841313,929486,-1,920032,-1,-1,-1,-1,-1,539537,49184,-1,-1,-1,107231,123163,439566,750759,718404,-1,-1,-1,-1,-1,195635,594424,387270,604495,-1,-1,-1,419262,-1,156168,108049,219746,289415,-1,-1,501634,655359,-1,769802,376273,344262,-1,-1,756497,872400,846520,311490,469676,585097,453980,724986,635355,-1,770230,-1,457917,189781,-1,474264,763268,-1,576730,-1,-1,-1,761546,233946,996891,-1,542980,861293,470932,-1,-1,-1,-1,-1,-1,-1,-1,809323,-1,274486,45035,215735,788256,-1,-1,-1,249145,-1,601716,-1,621889,410995,432774,788485,358637,654767,425271,-1,-1,-1,679063,-1,-1,44544,268239,32112,-1,-1,942221,14732,-1,-1,-1,-1,-1,385928,-1,-1,-1,58015,215336,194286,-1,909827,9813,-1,-1,-1,-1,-1,119842,175297,226676,-1,-1,-1,-1,-1,421510,519920,-1,632339,-1,-1,302167,-1,-1,485052,-1,-1,1637,-1,460272,947817,-1,161290,496241,-1,-1,389366,835839,633703,129661,-1,906565,942682,930472,555821,711013,-1,-1,-1,-1,354383,-1,950388,794602,498219,-1,994669,-1,-1,-1,861749,884195,124870,-1,122331,-1,-1,-1,-1,-1,457479,-1,-1,-1,-1,924066,-1,-1,-1,-1,432869,612025,94603,-1,856668,-1,-1,-1,703661,-1,19558,-1,-1,967185,185497,765871,340848,31431,-1,-1,-1,-1,232108,194135,-1,784116,-1,-1,-1,-1,-1,-1,930624,616532,325922,-1,-1,-1,893344,-1,484113,35313,-1,28921,482511,-1,-1,-1,-1,517904,6857,-1,-1,682949,-1,952922,-1,308136,236102,216828,-1,770028,-1,-1,-1,593011,-1,-1,-1,994288,-1,293364,-1,591560,295447,400192,503137,-1,262475,58468,335779,-1,-1,-1,885805,145434,-1,-1,-1,397093,351226,-1,-1,153853,-1,-1,885498,-1,468876,409292,739240,-1,800068,-1,-1,473147,576087,337239,-1,-1,225299,-1,296817,531518,603636,89867,456669,576208,-1,531005,25716,892775,710467,-1,-1,498837,-1,32799,319215,103467,303484,-1,515091,-1,-1,576258,688999,955952,153467,744066,-1,-1,929484,-1,-1,-1,162804,245482,900275,903015,-1,-1,131090,-1,-1,-1,-1,557575,-1,-1,498883,-1,-1,578009,240313,-1,-1,-1,-1,-1,532296,-1,-1,-1,603477,-1,-1,-1,-1,-1,121203,-1,-1,199817,-1,163451,-1,-1,69001,-1,883129,576010,781799,-1,-1,529097,-1,-1,240879,-1,-1,504909,243714,-1,769865,-1,765997,55213,-1,-1,-1,85183,-1,-1,-1,151693,953303,-1,576847,236700,-1,-1,-1,985993,-1,-1,-1,-1,517606,590004,-1,-1,984070,975860,-1,591180,-1,-1,904869,984065,-1,-1,-1,634801,944022,594597,-1,-1,-1,-1,-1,-1,347728,-1,-1,331403,-1,786863,531597,-1,-1,-1,-1,-1,122417,-1,89997,905652,-1,-1,33393,545119,469314,-1,-1,-1,494010,722966,413676,-1,461264,91683,-1,40632,-1,-1,-1,-1,467202,443271,316324,-1,-1,-1,434980,201973,265316,693723,-1,677117,544667,308118,-1,381944,-1,371858,806776,430670,-1,829112,-1,893660,529087,594724,-1,288281,596233,-1,-1,402950,122665,981234,-1,635752,332160,-1,-1,162376,339292,888321,-1,-1,400412,43177,438616,754936,-1,481254,316768,809205,311112,225294,-1,-1,-1,-1,-1,662793,-1,-1,-1,-1,-1,454439,590526,648172,979485,-1,469729,571281,-1,-1,-1,-1,809819,-1,864045,426770,753071,348837,-1,-1,682244,997376,-1,-1,509541,-1,80307,369878,910652,741777,386115,284355,-1,-1,-1,-1,536379,-1,459315,359996,-1,-1,44965,284475,-1,-1,351962,-1,-1,-1,-1,-1,443555,768579,565737,-1,-1,437038,728789,333600,376252,624915,-1,539087,243290,606289,825794,972235,-1,403572,679349,-1,251823,-1,-1,-1,-1,-1,-1,102419,-1,-1,-1,371737,559310,-1,877340,626795,-1,-1,435322,-1,-1,-1,-1,-1,-1,386228,80938,-1,770948,-1,-1,624718,-1,398914,-1,524125,-1,-1,187784,681569,323805,943974,-1,29756,107596,71308,747732,-1,347611,139015,191290,-1,-1,-1,226397,482387,525228,994880,862774,-1,693461,568589,80822,367552,324802,841600,-1,737993,999641,679605,-1,-1,945697,171800,927226,653772,-1,906261,501328,-1,422522,900007,-1,-1,482151,-1,-1,935627,801750,936914,-1,723810,233184,571494,-1,169892,-1,325718,-1,-1,-1,-1,758208,63548,821297,859038,872048,225502,135249,-1,-1,829893,622207,-1,-1,-1,-1,475486,-1,469137,58370,-1,688479,-1,17219,-1,843179,2956,-1,-1,62314,-1,901864,-1,306402,-1,477971,660222,-1,-1,238532,-1,252275,-1,536197,-1,-1,606833,100188,-1,-1,494800,454665,910084,798337,975103,-1,-1,-1,981114,-1,630307,-1,904114,-1,-1,730868,925169,-1,-1,317878,-1,-1,564771,420720,-1,-1,-1,-1,-1,690890,-1,-1,-1,396917,165847,834021,-1,516555,-1,509763,439171,-1,-1,632101,626259,-1,-1,-1,-1,583440,-1,-1,10513,121551,562199,305671,98667,473693,-1,-1,301625,542771,941190,52369,-1,892087,-1,-1,601013,26798,37867,229072,-1,797525,531259,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,802535,-1,118419,-1,791905,-1,781410,458343,361392,710414,10137,827808,762379,586118,-1,474676,-1,-1,969497,-1,809225,-1,891649,102834,806673,9064,113863,-1,-1,-1,877967,-1,528782,-1,-1,-1,608878,-1,380224,706889,-1,-1,-1,-1,-1,-1,668452,479748,617472,615908,563341,776958,-1,909315,-1,-1,-1,50928,519890,381922,291255,535566,160751,880115,703378,-1,441550,-1,130811,-1,-1,-1,442943,-1,250564,874889,658040,-1,701417,135455,-1,886603,217991,-1,-1,475107,-1,545965,337738,-1,-1,890270,350540,-1,98595,-1,818017,-1,-1,807627,-1,-1,-1,-1,-1,-1,26227,624064,352838,-1,395280,232963,-1,52378,-1,615061,616558,759074,872922,-1,966668,-1,-1,591825,745186,210994,-1,-1,690613,663587,256369,517941,880990,-1,-1,328318,264379,974341,972855,595529,-1,-1,-1,278349,357612,95146,-1,909828,649760,95204,-1,-1,-1,764682,616265,-1,630056,261208,105972,-1,628762,-1,857799,428436,839650,-1,209006,-1,818658,-1,-1,-1,-1,973523,-1,-1,362914,-1,605916,534116,-1,818622,60131,934673,377492,-1,-1,-1,-1,-1,-1,110920,-1,164982,812341,194736,131124,282324,-1,-1,251612,-1,997233,82616,-1,188425,-1,-1,916613,-1,-1,-1,-1,-1,-1,-1,-1,-1,778007,-1,427230,931514,465598,-1,-1,-1,627565,-1,-1,84544,-1,-1,981211,897512,272316,-1,169172,-1,-1,-1,323333,728217,-1,624605,-1,58092,-1,-1,-1,981786,-1,-1,929616,527069,-1,953705,-1,99029,-1,-1,-1,-1,-1,-1,371098,-1,50811,-1,591706,88042,-1,-1,-1,537569,852471,904927,-1,-1,861931,-1,-1,-1,-1,-1,-1,714169,183184,-1,140246,-1,-1,-1,-1,474517,-1,-1,-1,419808,273177,35929,677092,-1,-1,360487,180022,934107,694683,-1,-1,-1,634666,-1,-1,-1,976606,-1,239461,-1,-1,120034,-1,-1,-1,-1,344286,368739,942811,-1,-1,71711,630895,185754,-1,212547,473166,88825,-1,535119,-1,560090,61365,-1,-1,65457,-1,254784,232233,-1,-1,-1,-1,708245,31713,-1,245330,542122,-1,-1,909893,-1,-1,-1,-1,607777,794032,-1,18349,159867,-1,349505,-1,-1,-1,714430,-1,523611,-1,-1,534069,570431,-1,199867,866693,127555,858438,-1,-1,-1,-1,-1,786990,645449,-1,312281,690214,770354,843201,-1,-1,341512,-1,123143,-1,-1,42837,-1,-1,5927,398483,925451,-1,183233,-1,467437,721621,446488,203028,-1,-1,-1,829605,75557,505823,-1,886107,-1,304463,390869,543938,-1,484401,-1,224843,-1,-1,33951,-1,328685,-1,877668,512565,374967,-1,237611,-1,281078,997531,957522,630169,969,-1,-1,-1,709989,507318,273548,217961,-1,313028,-1,770054,-1,706372,-1,-1,367638,-1,623976,478642,-1,126046,329276,-1,-1,-1,58169,-1,565256,115276,-1,-1,-1,-1,-1,993302,258490,412744,607315,759652,-1,-1,-1,634808,822568,54937,-1,-1,989020,352298,587460,-1,-1,-1,-1,-1,-1,625743,129856,796183,342002,432033,145493,-1,40603,-1,-1,-1,457813,425774,-1,456445,-1,-1,102083,-1,-1,-1,-1,91313,982241,88704,-1,-1,858519,-1,712820,-1,738531,-1,-1,963743,200853,-1,110569,676791,-1,-1,193623,-1,-1,581171,-1,824018,-1,-1,-1,601137,982745,141478,191037,153434,-1,560968,-1,884137,-1,-1,-1,341591,-1,-1,124162,218518,-1,-1,125577,-1,786145,-1,297768,429937,-1,358189,-1,789369,56159,-1,-1,363165,-1,693911,315715,-1,208259,-1,-1,-1,-1,633290,-1,437922,964168,-1,194576,224286,292568,-1,417203,-1,105130,-1,101196,-1,-1,-1,-1,340146,160839,494795,936706,515634,86859,-1,-1,214761,650586,-1,-1,970248,-1,-1,-1,-1,-1,341675,-1,-1,-1,-1,389809,124102,-1,855978,633769,821257,-1,302300,-1,617720,-1,473807,997177,950168,-1,254739,-1,-1,404155,-1,-1,-1,7338,-1,445621,607179,-1,759227,-1,439872,-1,861943,-1,467181,867136,-1,-1,534206,-1,439492,389454,246987,-1,443951,319829,137448,197597,-1,-1,-1,-1,985320,327553,-1,-1,-1,846880,-1,775938,447563,324497,997318,920994,222658,303267,-1,-1,185082,263025,122862,425016,-1,-1,-1,99237,-1,-1,-1,-1,-1,167167,-1,212877,697930,43663,-1,645660,810472,-1,-1,-1,-1,332533,-1,652092,-1,-1,-1,13051,-1,977173,20932,807435,-1,417237,-1,549436,861217,575644,-1,-1,556469,-1,-1,-1,111853,88800,-1,302994,280352,719747,458217,-1,97720,-1,903472,-1,100594,83407,911279,667354,-1,-1,-1,-1,440139,-1,-1,-1,-1,-1,-1,373012,473027,70915,-1,-1,-1,195640,573234,602275,575567,-1,-1,-1,105242,-1,-1,-1,23044,435721,586684,-1,-1,283528,-1,992576,927817,995613,-1,431560,587540,-1,828753,-1,581462,687085,869986,941614,281618,-1,-1,-1,475766,-1,-1,-1,-1,726529,955109,-1,903386,712342,-1,993998,-1,-1,-1,-1,-1,700368,740814,758944,609551,-1,947392,329392,-1,-1,948450,-1,424479,646950,-1,406934,945840,365500,513977,56256,610704,761867,-1,791396,541004,-1,-1,502066,-1,-1,-1,902299,903185,-1,-1,147786,-1,425214,-1,521518,749805,-1,-1,81948,-1,-1,-1,-1,-1,-1,-1,-1,314711,434254,70529,149188,631572,509257,60025,152821,-1,714037,-1,-1,564200,34989,-1,284757,751267,-1,-1,239951,272770,-1,-1,94306,748533,-1,-1,497455,-1,-1,-1,513230,-1,453374,674306,452546,-1,-1,-1,-1,895819,589920,519883,-1,-1,-1,-1,-1,137582,-1,996083,248057,586802,405642,-1,338319,-1,-1,719450,673529,-1,-1,-1,667984,552793,403144,-1,-1,592187,720779,483914,-1,168492,-1,-1,881085,589698,-1,727091,-1,-1,-1,-1,-1,-1,141289,-1,587107,-1,-1,959431,298883,655878,86849,-1,-1,-1,-1,-1,-1,549310,25757,-1,-1,593048,213795,695953,176581,-1,-1,-1,585481,-1,-1,17547,-1,107801,619107,323792,90377,624253,103075,865677,489139,610384,284924,-1,-1,-1,909959,-1,-1,-1,590765,-1,205076,316520,372503,-1,391590,933161,-1,546893,454079,-1,259482,-1,834245,274029,447297,-1,-1,-1,510190,-1,-1,-1,471991,-1,-1,698313,-1,-1,769748,716688,-1,571856,647393,64373,-1,175411,659667,-1,506937,-1,-1,-1,-1,-1,-1,-1,-1,334767,-1,-1,-1,598857,-1,-1,-1,740108,-1,620505,-1,-1,205315,105747,638998,945033,511108,359827,-1,542646,16375,427119,223022,990769,-1,475545,849499,877400,69731,-1,-1,323402,-1,800304,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,144006,-1,902517,50653,883571,752360,561218,542118,83218,-1,571891,6173,-1,-1,125057,519106,925506,488466,-1,250346,521790,556504,-1,-1,-1,816880,-1,257777,850001,-1,912513,-1,-1,132439,-1,925969,-1,753227,510105,-1,-1,-1,681964,336940,-1,395762,-1,504957,726967,-1,684221,278323,-1,-1,773148,-1,-1,742709,176219,326675,-1,-1,529927,407667,836175,-1,-1,446669,793941,-1,234701,-1,377715,321015,50751,-1,669319,-1,-1,480847,-1,440392,838045,463883,389317,-1,822269,19979,-1,-1,209204,883884,263873,-1,954126,-1,138378,-1,-1,794040,620021,393928,-1,-1,178860,-1,-1,549166,307396,-1,30494,233807,266879,-1,215808,-1,-1,455776,-1,-1,-1,-1,699769,322489,309105,-1,980148,275382,931695,-1,915454,223312,-1,959855,-1,694343,901326,-1,379231,-1,-1,-1,-1,-1,-1,362102,-1,-1,-1,215078,-1,-1,-1,537875,-1,-1,-1,719461,884937,532552,-1,831896,294562,236228,981479,389193,464025,170064,-1,852126,-1,-1,-1,650358,-1,-1,-1,-1,-1,-1,709903,829546,76734,393229,367604,299003,-1,740213,370821,348182,-1,693125,-1,-1,201880,301849,727,-1,950416,380843,17672,-1,-1,675694,-1,92407,-1,475204,-1,691961,356707,-1,-1,-1,588601,-1,-1,830480,876715,-1,-1,-1,716065,-1,972700,-1,-1,810488,-1,-1,847964,-1,279550,-1,163894,-1,-1,-1,-1,110825,-1,-1,-1,-1,241956,-1,786683,-1,78683,-1,666736,719370,156111,-1,-1,754286,165639,-1,30705,213353,-1,-1,579360,459867,722887,947271,-1,938012,828559,674917,419545,-1,-1,-1,-1,-1,868326,60199,96862,267581,943067,-1,137388,-1,-1,-1,-1,-1,951625,-1,-1,-1,-1,-1,-1,122171,-1,-1,905775,-1,100695,-1,-1,-1,-1,-1,559041,869091,974059,-1,49696,-1,-1,-1,-1,548969,596476,-1,-1,318085,-1,979288,-1,138511,389137,-1,319286,-1,220356,905790,273615,77485,-1,829642,717975,376649,-1,-1,323519,693317,684241,-1,289108,-1,557048,148828,283137,624408,-1,945287,301171,315447,504638,-1,185775,-1,25937,-1,90073,987757,-1,93247,-1,-1,638211,423407,-1,130857,674112,-1,-1,389898,-1,467802,755822,932727,750614,-1,-1,-1,193538,-1,-1,889725,-1,-1,268272,-1,828295,489475,-1,-1,349655,432997,732452,401041,-1,704932,-1,-1,-1,-1,-1,325814,833624,536902,-1,950205,308479,-1,620422,179669,-1,110475,-1,347514,436670,-1,-1,-1,184408,-1,865329,365607,-1,-1,-1,-1,-1,-1,-1,424045,-1,69670,-1,427032,-1,709585,-1,-1,305253,961986,824266,985354,-1,901661,989487,-1,-1,197222,-1,-1,636979,918903,318606,871318,-1,595333,-1,-1,818003,-1,920291,561394,64830,749684,439482,815460,-1,704107,-1,-1,-1,-1,436187,-1,-1,-1,503116,46670,-1,128979,556717,880592,667353,400548,-1,-1,-1,423010,-1,943582,-1,-1,514133,359706,266127,-1,-1,354630,-1,-1,63952,432219,272978,-1,872215,492528,-1,-1,-1,43118,611679,-1,-1,207955,649790,-1,554808,188163,-1,932569,955662,367448,-1,-1,-1,973438,-1,607572,777257,802515,812439,-1,-1,-1,-1,-1,462383,389426,-1,565882,-1,-1,-1,95362,345654,-1,510610,815239,-1,611821,-1,655630,-1,-1,813287,442021,-1,-1,90762,-1,-1,-1,847842,-1,293738,-1,-1,-1,-1,-1,301602,818472,-1,365945,774313,313821,-1,57962,-1,-1,929976,-1,888122,507366,386834,346973,584867,17641,122711,-1,624552,258868,-1,56798,720351,-1,194792,-1,997426,-1,-1,420869,-1,446961,928872,-1,99851,944315,935784,814062,48809,-1,217931,-1,782928,151795,708821,-1,-1,-1,-1,43396,-1,-1,-1,240767,404470,222212,-1,-1,-1,-1,-1,242289,862600,-1,-1,-1,333771,-1,745289,-1,79170,-1,-1,1736,-1,-1,113463,-1,783414,120787,-1,-1,-1,93109,-1,-1,590171,-1,228696,298086,497860,-1,-1,789284,-1,143823,500832,-1,-1,-1,-1,-1,497449,-1,-1,536041,508111,453461,-1,-1,956800,-1,-1,103209,-1,-1,-1,705216,138303,481456,-1,-1,650030,-1,-1,578081,958460,919710,-1,522055,558356,919074,-1,548545,-1,468831,107615,-1,-1,-1,-1,295616,171609,-1,-1,-1,668695,-1,-1,861077,910999,446318,-1,-1,733972,-1,720440,-1,218734,865232,700491,-1,-1,-1,-1,549013,139806,-1,423667,386135,172134,-1,993611,-1,44909,486908,-1,123316,-1,-1,719109,254414,-1,264112,-1,874516,7042,974037,-1,-1,-1,819868,991329,-1,459027,-1,663,-1,771089,728525,554255,262260,376911,170445,944782,-1,413117,847252,-1,602986,416400,-1,564542,794947,496415,-1,401403,703394,-1,-1,-1,545169,61498,-1,-1,371546,-1,425531,-1,-1,-1,-1,-1,224827,-1,199921,277412,-1,-1,927998,-1,259978,527845,106285,-1,-1,387589,601640,-1,-1,-1,252366,250747,869076,-1,-1,856260,999739,-1,247394,-1,408641,-1,-1,-1,441228,870169,-1,-1,941886,-1,445790,-1,-1,-1,-1,964504,-1,429340,-1,-1,-1,153701,-1,996473,-1,263076,349796,199989,183441,237485,-1,-1,-1,936899,-1,-1,966916,-1,-1,460247,-1,210840,44052,-1,662222,441261,154998,-1,454624,177141,-1,-1,76796,-1,-1,-1,-1,-1,292522,-1,-1,-1,-1,588423,728889,-1,-1,-1,118293,-1,615979,-1,52255,-1,-1,382385,48932,751938,841304,373692,672036,-1,-1,36868,21548,424778,374832,663208,440866,409969,-1,-1,-1,-1,-1,181755,-1,235861,722109,738540,890943,175885,75683,332846,-1,89948,211633,-1,757181,322147,947781,-1,421792,156432,-1,-1,-1,-1,257850,-1,-1,431794,-1,712181,689965,576639,-1,-1,-1,202206,945992,46624,-1,-1,351647,-1,525306,-1,-1,267932,-1,89218,-1,-1,254173,395721,-1,-1,-1,-1,367807,-1,-1,-1,-1,885289,-1,-1,-1,-1,-1,904035,-1,-1,286860,-1,483897,877254,950768,715930,99505,625720,617912,-1,965413,811837,446075,-1,-1,-1,934987,-1,-1,146259,961865,424153,827634,-1,662636,975485,10850,312508,-1,761429,135041,950424,-1,-1,-1,-1,-1,-1,-1,503593,940495,-1,894302,-1,-1,-1,-1,-1,406086,-1,-1,-1,532273,-1,-1,836514,-1,-1,563927,-1,707943,607546,446413,953032,989758,824678,-1,438189,-1,-1,904490,-1,-1,-1,266034,-1,395379,-1,-1,-1,-1,801762,93019,222182,211582,-1,267445,-1,-1,-1,-1,678440,992033,-1,309381,265546,728614,640297,386000,-1,-1,770181,-1,120870,-1,-1,984661,-1,-1,153164,-1,651610,-1,150171,-1,-1,825689,415182,-1,-1,230178,877704,-1,347971,-1,-1,-1,-1,121850,351175,489070,179768,835505,636381,-1,386571,856829,860789,-1,483806,84276,641746,-1,215088,751354,659326,-1,93695,-1,725233,486435,723137,-1,451820,656673,411779,305035,-1,43277,-1,-1,-1,-1,-1,180860,-1,-1,66947,-1,-1,752741,540182,-1,315806,642547,-1,-1,-1,-1,767165,135647,-1,-1,-1,740796,-1,-1,854782,-1,314806,-1,95055,-1,460847,-1,279369,232573,51552,758971,911434,750303,438932,501763,-1,-1,101404,-1,-1,-1,486549,22350,299311,-1,102241,-1,-1,859657,871964,856291,506317,-1,726276,801978,-1,-1,27111,815890,318781,731541,681083,317061,649287,693394,-1,82809,-1,-1,586429,65434,799625,983382,-1,-1,934185,528343,889316,558767,-1,117824,298998,688448,-1,778365,-1,974761,-1,995257,243890,-1,986692,313135,-1,841711,-1,878460,-1,623901,-1,-1,-1,728681,642733,-1,836170,668861,-1,18097,361147,240883,-1,644507,-1,248680,734948,210521,387783,-1,-1,-1,522806,-1,-1,971156,199575,-1,-1,289814,921989,732928,636775,-1,240306,10100,-1,124278,-1,287409,-1,703342,-1,339580,-1,-1,-1,993719,336179,-1,795155,344252,280392,486826,475977,191233,-1,870821,-1,538223,98254,-1,-1,864166,-1,-1,993818,18295,726823,688215,804336,772798,-1,-1,-1,-1,-1,-1,302150,-1,686776,-1,77106,-1,201404,614034,-1,871001,-1,197735,-1,-1,847785,-1,431368,379107,712676,131061,561738,939304,548089,764917,-1,949816,-1,256564,-1,608175,634016,392019,-1,308979,-1,882184,-1,452157,298595,-1,-1,-1,-1,79553,-1,913507,281077,939672,143263,568774,546422,157008,-1,-1,319409,104552,-1,-1,-1,530260,-1,475809,-1,962452,804233,674374,-1,-1,848070,584311,774356,457943,-1,552303,31080,810104,646854,-1,840296,329749,438422,675842,-1,-1,251023,-1,234145,-1,104672,-1,-1,-1,40137,-1,-1,-1,838207,451288,216227,223458,-1,-1,158642,-1,-1,868440,-1,-1,632095,-1,-1,-1,315725,-1,448835,-1,-1,-1,581815,-1,749570,-1,1180,527558,881651,-1,-1,195643,-1,680894,-1,-1,513195,866441,-1,406165,664631,624434,-1,235805,873295,-1,369846,943717,49447,160584,188381,-1,25058,-1,-1,-1,-1,-1,794159,-1,-1,-1,82333,372536,597152,395490,267193,-1,716730,-1,869156,-1,-1,-1,-1,640903,-1,81043,910442,-1,-1,-1,992071,621244,-1,-1,652945,489341,-1,758524,-1,983163,-1,373579,-1,743201,823436,-1,440487,272329,-1,-1,109666,-1,797976,-1,-1,-1,374358,228226,621560,278290,194726,714721,880041,349921,-1,853291,536323,-1,-1,29367,-1,349127,440521,-1,129839,-1,-1,-1,547358,970120,-1,15618,-1,-1,-1,230310,-1,-1,-1,817765,-1,567823,922650,-1,-1,-1,274851,166793,528574,-1,-1,-1,-1,-1,-1,-1,-1,421320,-1,937913,-1,-1,-1,220671,-1,-1,-1,205705,313922,174993,341166,218637,672650,45913,240868,-1,-1,552959,374956,511251,893673,-1,779489,297418,514485,-1,-1,-1,727662,17216,183761,-1,-1,-1,645442,-1,-1,-1,44002,-1,-1,-1,-1,-1,-1,-1,-1,970406,-1,965808,627980,335519,-1,-1,-1,468585,-1,139002,124648,-1,-1,-1,885744,-1,430270,-1,-1,-1,856731,-1,436076,-1,-1,589751,-1,594829,-1,684169,-1,-1,109234,418394,-1,709240,-1,365132,-1,-1,-1,456343,51953,563122,-1,-1,-1,75237,201280,-1,272300,824472,787887,-1,-1,-1,-1,528599,-1,-1,885030,778539,474769,-1,293862,571087,-1,340208,-1,-1,673667,61749,-1,-1,-1,-1,971848,-1,-1,343370,346225,151226,905932,-1,-1,821815,-1,94769,991539,106574,-1,112405,509323,802707,-1,-1,-1,-1,-1,-1,-1,430419,557438,960327,108902,585004,-1,497365,234425,-1,506034,-1,328645,-1,10632,84225,-1,-1,-1,935275,540692,-1,301856,-1,92536,375226,928348,755744,281140,497252,-1,304574,32331,151814,-1,318012,-1,-1,-1,551984,412193,-1,990763,791100,967001,-1,-1,711262,194756,414575,-1,18727,16044,-1,169415,901145,634107,-1,-1,968444,-1,171631,-1,-1,-1,-1,-1,-1,866932,-1,941363,-1,848044,61936,-1,-1,323549,905380,629945,349814,857588,110310,955042,-1,-1,566719,398293,-1,808607,-1,123758,717955,-1,529203,468159,-1,739851,-1,-1,718969,-1,-1,-1,50118,118196,-1,-1,-1,-1,566441,-1,-1,-1,-1,288715,700189,183104,-1,-1,-1,79125,420400,167820,-1,830059,624720,760147,-1,278950,465371,418402,363027,-1,-1,-1,-1,-1,188699,487477,-1,-1,26038,-1,-1,920902,903030,-1,587753,728045,225992,613959,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,155507,-1,-1,-1,-1,-1,344237,-1,-1,-1,-1,595444,205089,-1,307773,26838,233061,-1,912321,261324,761103,404567,-1,649626,565554,-1,-1,849830,272236,159965,-1,553818,-1,694212,-1,-1,35400,459342,-1,948805,-1,873820,127618,-1,215068,-1,692768,-1,-1,639732,-1,432680,-1,-1,957073,678751,-1,154115,-1,-1,588903,-1,423163,390654,-1,-1,-1,-1,-1,-1,-1,-1,356130,659796,928177,-1,744557,-1,496262,470652,945714,-1,-1,124157,510263,177736,742087,-1,-1,598064,-1,-1,-1,141678,657317,-1,372779,-1,205722,712907,315490,409218,892422,745476,-1,961391,279500,-1,246382,-1,-1,-1,-1,-1,-1,132806,465262,109277,733257,-1,3923,176978,732211,-1,-1,687230,-1,476064,-1,-1,750195,-1,401249,702844,719222,-1,-1,572764,-1,418423,675336,-1,186113,-1,-1,-1,-1,-1,-1,200397,168021,-1,188944,-1,738214,-1,931879,232830,442090,738124,44113,828201,490422,447442,-1,114633,275745,973381,-1,569442,-1,-1,435991,1648,-1,-1,-1,178171,925377,-1,68253,490597,709724,121916,664241,-1,751096,653251,-1,340883,-1,182030,-1,-1,300878,-1,-1,55858,612488,406005,-1,504467,-1,-1,860668,-1,-1,887911,3644,977121,974224,-1,-1,-1,-1,-1,59338,-1,-1,-1,893797,744886,-1,-1,546122,-1,-1,-1,-1,358228,-1,389509,732177,-1,576423,-1,643478,99974,-1,760931,-1,-1,710491,-1,77941,315416,126287,-1,559523,150442,-1,-1,-1,675812,-1,206616,509919,446709,123199,-1,197411,589217,79395,-1,-1,-1,-1,836041,-1,-1,-1,-1,-1,-1,575070,339154,-1,-1,-1,594387,-1,-1,-1,-1,149818,373040,-1,-1,-1,122229,-1,642387,-1,59864,788039,695318,685175,931466,668729,87006,735573,35184,795983,-1,211641,-1,-1,490662,-1,627924,-1,731751,120258,-1,966399,-1,478073,558447,816912,404559,-1,721544,783615,-1,-1,964637,-1,406925,-1,707972,217006,-1,-1,600798,-1,-1,-1,773033,470528,889195,928148,663833,-1,770989,-1,-1,-1,604326,643944,532206,-1,448005,-1,872210,-1,-1,229123,-1,976823,12643,539330,966524,472016,613815,615528,-1,-1,473620,442711,-1,796681,-1,51298,653344,-1,117237,-1,888717,15203,-1,-1,-1,-1,-1,-1,-1,762459,467463,-1,184034,687645,229734,373837,161003,-1,-1,728766,94490,-1,241678,-1,901038,-1,-1,-1,740229,113401,-1,-1,-1,907175,-1,-1,-1,627116,-1,-1,302600,553587,703706,-1,460077,-1,675869,-1,113835,436250,-1,885564,337406,397406,-1,-1,-1,-1,-1,992664,-1,-1,-1,548933,-1,122877,330132,463741,-1,755304,-1,-1,83184,885550,957241,214501,-1,-1,-1,39904,952460,101224,-1,167931,598129,437965,-1,269119,860638,245037,448454,676431,417688,-1,-1,52381,922588,-1,661285,441595,-1,-1,-1,540322,462110,-1,986016,449630,276713,27876,-1,-1,211013,369736,-1,974449,69878,-1,-1,344132,-1,211867,-1,805244,-1,-1,254760,112668,-1,681206,-1,979492,-1,726719,-1,-1,-1,229529,556363,832382,531707,63232,364680,-1,798602,983351,-1,-1,-1,356352,-1,-1,841141,269291,524262,189526,-1,549019,118014,826376,974630,-1,-1,454247,244149,-1,343431,103311,879825,314073,-1,-1,67100,430992,909046,884118,66788,342446,-1,-1,-1,563190,584211,-1,120827,902415,-1,-1,109343,-1,-1,926210,-1,-1,-1,-1,-1,1359,739871,-1,401198,-1,482571,96317,-1,849495,-1,794135,602434,90795,378559,-1,920701,-1,210902,236729,972585,94711,-1,764229,433188,355718,852509,-1,216057,92097,464977,-1,721120,-1,-1,-1,-1,-1,605899,666778,-1,416318,-1,-1,-1,132726,381426,-1,241969,-1,-1,-1,482091,353101,220282,139329,214779,513985,-1,-1,-1,92353,114343,259042,-1,-1,964865,220289,293005,912324,163439,-1,-1,209815,446064,-1,289780,-1,-1,857440,-1,523426,-1,398336,90733,-1,-1,703307,86983,407109,137142,345807,-1,-1,-1,-1,-1,-1,796711,-1,668255,53417,502988,-1,-1,-1,529342,-1,-1,-1,409239,-1,-1,203644,959403,-1,-1,-1,-1,-1,-1,187647,-1,687597,-1,133730,-1,393709,-1,449948,-1,672029,547527,-1,-1,-1,-1,-1,-1,-1,855935,301390,427597,-1,416799,980877,-1,-1,175319,-1,258379,712473,-1,348781,-1,999594,-1,-1,41992,-1,349477,480699,210835,-1,24551,453158,672669,917799,-1,-1,55690,-1,991482,220826,-1,856688,-1,527980,640242,-1,913762,284763,343770,-1,-1,90394,682761,-1,675421,271497,786327,-1,-1,487373,217721,652585,89844,591538,-1,79976,-1,848445,-1,-1,504853,-1,83455,-1,556998,465557,-1,15770,756022,682043,33460,-1,-1,-1,-1,944448,-1,783971,12390,-1,-1,986484,196609,-1,585874,-1,-1,-1,-1,929114,-1,-1,-1,-1,168551,851507,479211,-1,-1,758874,-1,-1,327675,-1,-1,109855,-1,-1,82283,-1,594916,134496,-1,-1,-1,446350,-1,391619,573505,-1,152622,697470,492233,382784,605910,893400,595956,401808,894699,674548,-1,297291,-1,-1,892144,332725,-1,213011,-1,-1,-1,-1,319043,-1,-1,666887,927316,-1,782756,37206,-1,634874,-1,-1,520859,-1,-1,-1,-1,-1,658455,770018,-1,-1,570081,609900,487549,972891,-1,-1,719657,81621,-1,-1,-1,281135,20496,-1,-1,880277,-1,-1,847538,-1,-1,594313,155777,190382,284986,-1,838912,-1,-1,-1,-1,-1,-1,823256,631345,-1,-1,664679,-1,359125,-1,415255,441839,10064,96953,62684,-1,-1,-1,-1,524128,606718,741782,594893,-1,116913,15604,677422,-1,-1,-1,403012,995073,293820,76260,-1,-1,-1,259861,-1,-1,967755,-1,611670,-1,-1,696554,-1,205660,-1,-1,700708,-1,311939,-1,-1,-1,49277,-1,-1,-1,541066,-1,-1,-1,-1,744475,-1,-1,-1,174262,677811,-1,979625,818084,306890,972102,-1,-1,-1,552430,914385,555043,369931,-1,-1,299457,6249,-1,513461,494920,-1,-1,-1,-1,-1,-1,-1,39400,212095,759645,769894,-1,-1,-1,-1,458319,-1,-1,686107,694361,296953,17186,105963,916681,-1,938156,-1,-1,350755,353604,-1,558719,-1,-1,-1,93411,456331,-1,-1,-1,-1,496184,660171,618314,687051,545204,429054,-1,-1,-1,799019,-1,443415,-1,-1,719799,368812,-1,391123,-1,117078,79043,299428,899324,-1,298395,4405,-1,-1,-1,696717,-1,95930,878809,-1,-1,106387,-1,-1,-1,-1,-1,-1,-1,124382,-1,-1,739487,-1,-1,-1,702939,261539,261770,953701,-1,-1,-1,198431,855022,-1,-1,530058,947529,906404,-1,319092,302617,-1,-1,-1,288228,-1,-1,-1,700060,86174,-1,-1,-1,78332,514392,882695,-1,-1,-1,-1,256035,-1,-1,-1,-1,-1,731321,317970,426933,144219,-1,25874,631045,270903,-1,-1,-1,-1,-1,-1,578839,-1,-1,197199,64809,364309,-1,840591,-1,-1,-1,-1,820498,290938,308552,521796,402223,731925,-1,-1,-1,-1,69196,-1,959505,-1,441895,-1,-1,-1,-1,-1,153638,760149,477833,726185,-1,923547,951150,-1,-1,366655,87652,908393,-1,946121,479328,798201,342102,316549,501979,-1,458660,-1,142307,-1,-1,607233,-1,611826,-1,-1,191753,677287,697533,-1,-1,-1,280503,753446,-1,769448,605272,-1,520850,-1,5587,704417,-1,115761,-1,-1,-1,-1,414482,-1,165653,-1,-1,655837,298038,295735,289060,992978,651536,-1,410210,-1,-1,734543,527911,100884,223223,-1,-1,-1,-1,453493,-1,-1,585949,-1,-1,-1,931771,-1,315903,-1,-1,27719,554293,-1,-1,-1,666213,375095,-1,766924,898143,805503,93938,-1,-1,-1,-1,-1,-1,137743,860366,348575,578100,-1,-1,-1,507156,-1,-1,258378,-1,793056,-1,28036,731361,931577,861564,-1,840934,711561,-1,762944,-1,-1,412660,-1,181408,-1,-1,-1,-1,717095,-1,-1,343568,802121,750865,-1,-1,-1,299382,-1,-1,-1,417865,-1,725643,580724,167018,759192,-1,-1,-1,745733,69912,288905,-1,-1,458317,-1,-1,363709,608084,115771,577089,94193,8578,457321,431612,377928,-1,436530,-1,518784,355176,591050,-1,519351,-1,-1,-1,296423,956083,77090,977590,69047,106620,460925,-1,497443,-1,-1,-1,-1,557468,895442,-1,-1,193010,166943,276702,-1,-1,148332,-1,722535,238568,-1,-1,285447,-1,741842,809216,-1,-1,103380,436420,572252,-1,-1,-1,302695,431852,-1,-1,-1,-1,-1,-1,732446,537687,545945,53699,-1,39201,-1,-1,-1,874548,-1,824167,302805,104709,936036,-1,-1,-1,-1,741405,-1,-1,-1,202459,606820,-1,-1,178634,-1,-1,-1,589810,-1,-1,-1,-1,395443,524335,-1,-1,593591,856509,-1,498100,-1,-1,77451,-1,-1,837874,-1,-1,-1,643317,-1,446553,-1,-1,-1,942759,661793,389924,662763,-1,507434,431230,-1,209371,953728,-1,-1,878005,178383,-1,-1,-1,-1,590240,-1,-1,592161,-1,-1,-1,295920,-1,831732,1868,695663,415186,827468,-1,-1,915402,398218,-1,-1,744296,743683,958629,789516,980434,-1,-1,-1,-1,664351,-1,618971,-1,325779,843655,985655,-1,-1,-1,15934,734302,-1,65677,-1,315224,739317,624040,-1,-1,-1,137893,792562,-1,-1,966067,307353,-1,-1,176896,-1,-1,858210,785612,625451,18745,-1,-1,204159,-1,30975,-1,-1,-1,-1,628155,897173,109941,-1,935017,-1,-1,-1,-1,-1,-1,603537,-1,-1,-1,309854,-1,686733,-1,-1,647071,228900,176904,-1,-1,723873,82237,-1,891056,-1,-1,-1,152955,-1,-1,645624,923119,-1,309670,-1,-1,-1,-1,602675,-1,704472,-1,-1,82940,-1,344743,395211,-1,-1,-1,982654,160883,516069,-1,-1,-1,-1,649776,195298,-1,590330,1894,984856,774360,287587,-1,51416,-1,331165,309757,-1,107525,-1,-1,713678,-1,-1,-1,982413,-1,-1,-1,-1,376355,-1,-1,513177,309775,-1,-1,98702,676205,-1,640126,-1,160360,18026,448668,-1,-1,-1,869133,-1,-1,236947,780708,-1,410970,-1,-1,816450,-1,469878,224607,226852,-1,-1,-1,756370,-1,969910,-1,136005,158812,-1,-1,-1,-1,-1,-1,-1,42567,838685,382978,511657,-1,632327,416556,-1,-1,-1,-1,-1,716392,158690,-1,764513,-1,-1,412075,-1,-1,-1,-1,869405,-1,500949,809057,859473,496954,-1,509229,-1,-1,334925,-1,-1,-1,171364,-1,-1,-1,-1,862840,-1,343455,363542,511446,393514,327078,-1,398548,681582,-1,-1,707053,-1,466011,-1,911422,-1,-1,117514,-1,394455,888329,-1,-1,-1,750856,777806,784612,849718,-1,799167,-1,955919,-1,103693,796283,632902,654391,-1,-1,98632,945768,-1,924792,978700,902475,-1,582390,-1,-1,-1,-1,-1,77423,-1,969467,766303,390626,-1,-1,359644,121714,970981,-1,502563,911401,-1,458570,889199,-1,-1,420172,644328,-1,-1,333611,-1,72192,-1,526767,761740,-1,235966,-1,683671,556696,-1,745510,200040,-1,400302,-1,-1,824917,-1,-1,-1,660929,266989,-1,390146,872315,-1,-1,-1,740451,-1,232333,793212,400473,-1,580371,388030,411139,422717,261403,274729,578136,-1,-1,-1,403439,412476,957125,-1,851342,-1,707354,-1,-1,-1,-1,-1,870773,-1,-1,-1,237992,999733,-1,603452,404877,991451,459333,-1,-1,871456,817413,-1,-1,111372,228532,704630,771299,-1,-1,-1,-1,695070,-1,814107,850357,581163,134799,121626,246708,312719,-1,-1,727813,240627,960257,-1,-1,-1,428129,977965,576446,-1,831291,817192,-1,294776,-1,-1,862928,-1,251715,-1,-1,-1,-1,970587,-1,31976,545383,-1,-1,123264,784444,952155,-1,-1,75073,240788,-1,-1,-1,-1,764852,-1,-1,-1,-1,-1,203041,651057,-1,-1,301516,986457,414892,737163,-1,332277,419360,758008,765113,535974,-1,184330,874614,-1,132405,563304,784912,335906,-1,340871,867455,533090,761909,-1,-1,-1,-1,268541,840500,-1,-1,815862,-1,86827,615159,210872,764818,840212,568310,-1,597328,-1,-1,-1,459519,690631,621696,-1,950310,-1,-1,-1,-1,-1,-1,199974,816916,-1,469533,-1,443565,-1,-1,-1,-1,-1,455920,806887,958666,75024,182355,457030,77212,449458,-1,634592,-1,-1,335101,-1,-1,-1,266448,720437,291317,833471,641941,702517,60499,933184,129097,-1,-1,-1,-1,-1,504774,559383,-1,339089,134220,130494,342410,-1,-1,352260,-1,-1,551706,-1,966138,804317,971977,-1,58914,-1,-1,79744,-1,-1,-1,-1,181978,-1,-1,493766,347106,941001,8748,579714,-1,66775,-1,486557,903378,-1,944508,-1,-1,-1,-1,-1,526064,268003,773441,-1,-1,857162,952152,185653,-1,-1,444303,-1,10329,319807,77681,268014,-1,-1,-1,-1,-1,574202,156178,-1,426858,148892,-1,-1,178621,776337,-1,351547,625841,446257,939713,-1,356425,420122,481974,808314,-1,186041,33790,855869,63744,-1,-1,-1,-1,-1,-1,611677,-1,-1,-1,-1,554262,-1,913124,556462,649568,-1,500889,947521,718371,-1,354060,-1,-1,698753,-1,-1,-1,-1,517887,-1,-1,197429,-1,-1,278387,851770,817924,378755,-1,813872,370579,329002,547678,-1,-1,158236,-1,72342,-1,-1,873658,223327,-1,260013,-1,-1,-1,522256,948619,-1,-1,90735,-1,-1,-1,658605,732009,-1,650444,326185,857805,360227,-1,-1,476791,210921,-1,-1,753092,553188,-1,-1,209607,257988,-1,319193,-1,-1,-1,-1,-1,85602,102971,226110,-1,-1,-1,-1,901225,440814,440359,261968,-1,-1,-1,-1,-1,-1,302454,968912,830352,-1,-1,170195,868582,669206,-1,215673,-1,777270,520072,-1,933121,679027,-1,-1,-1,-1,-1,213126,78536,-1,932516,-1,363683,928099,-1,780068,602323,-1,-1,628140,336182,77336,-1,555808,-1,475351,648576,556075,147268,-1,261526,182933,162445,-1,304379,895798,-1,-1,-1,67089,-1,600775,649071,-1,12933,804059,276918,-1,-1,-1,163766,776104,934363,429164,-1,416572,-1,-1,411768,136238,696417,291190,-1,37825,-1,38700,355116,433326,-1,610799,-1,809936,690909,47859,-1,-1,676724,-1,-1,-1,773065,977778,-1,505820,576192,392855,-1,374298,527666,-1,-1,297569,-1,951835,-1,332396,-1,-1,238787,897907,977259,659031,598596,638747,138529,66693,278000,817940,-1,122065,-1,-1,521335,-1,-1,-1,-1,236369,810062,732897,-1,-1,-1,20689,859050,44109,-1,-1,379183,136805,-1,-1,-1,-1,208609,904582,-1,780698,850228,242516,533635,-1,155560,949334,-1,859863,436344,23264,980257,574382,-1,555133,612883,-1,692208,-1,-1,351489,605780,637538,151534,-1,-1,57468,387982,665083,403993,-1,217230,144917,800364,147994,608979,-1,-1,18239,-1,781512,-1,-1,550623,338553,-1,-1,-1,-1,-1,208772,-1,951142,-1,-1,488463,-1,11828,724475,148980,-1,-1,-1,461230,54383,307757,361224,-1,-1,-1,-1,-1,-1,-1,-1,869735,-1,-1,642832,16386,725658,-1,-1,-1,805474,-1,897372,78592,-1,556577,-1,-1,198146,523744,135254,-1,-1,364907,717220,-1,-1,50041,-1,-1,-1,-1,177483,501848,-1,101009,43836,-1,-1,-1,803794,-1,343283,717746,-1,-1,-1,877180,-1,-1,-1,-1,950812,-1,556815,563765,-1,-1,-1,-1,-1,-1,721054,211256,469208,-1,-1,-1,138984,-1,655296,214134,-1,731884,-1,684771,-1,-1,-1,-1,-1,637735,-1,357339,922183,401116,-1,-1,523047,941604,-1,-1,808520,-1,218849,333188,528190,213066,-1,-1,-1,-1,454409,-1,16504,730607,-1,-1,-1,987558,661840,126177,-1,81758,-1,971704,196229,854399,757186,-1,85546,-1,-1,169164,-1,484613,-1,-1,15713,-1,-1,962604,54221,252675,261180,128731,-1,304809,-1,967192,632212,501393,830353,205621,-1,445198,-1,-1,604596,-1,-1,46818,-1,-1,121064,961653,683656,-1,929989,-1,695299,202013,-1,-1,-1,627398,-1,979053,51143,-1,445969,307640,637266,776040,435010,967980,437277,894275,41709,-1,397926,-1,272406,-1,-1,-1,-1,989519,-1,-1,-1,976104,668757,-1,-1,-1,268539,720667,640574,-1,513724,-1,161194,438790,842606,-1,-1,306320,-1,-1,113225,889019,642641,806401,-1,523552,-1,894862,725963,529358,-1,238690,-1,987000,372670,-1,-1,607203,-1,-1,749226,945908,40852,948005,502979,75421,-1,-1,13360,706210,-1,185739,-1,89774,845238,-1,-1,-1,51796,581766,-1,843503,-1,215411,-1,529230,-1,493531,-1,28854,-1,715006,-1,-1,924542,-1,159129,-1,603977,416203,413959,526194,321603,362450,953605,414010,-1,211860,102261,-1,-1,584317,-1,-1,437211,-1,568636,-1,482190,274808,953986,-1,538094,72947,-1,-1,-1,706030,-1,-1,-1,425678,-1,-1,29117,786300,350730,988484,705670,58236,964466,-1,-1,-1,-1,-1,-1,-1,-1,365342,-1,-1,-1,-1,-1,939797,224305,-1,964271,912039,-1,-1,224640,-1,356587,59030,270507,228345,-1,440298,581759,434758,-1,605458,-1,-1,963823,684548,-1,689546,952600,-1,524278,-1,-1,146345,-1,-1,-1,710649,991127,300576,-1,953799,366816,317482,251770,625856,-1,-1,224095,-1,-1,364880,368837,918650,930785,240221,780335,81972,-1,-1,630964,684586,413394,-1,429986,531793,-1,-1,832208,-1,-1,-1,979804,-1,-1,414700,511891,431432,651981,-1,-1,885230,795161,634420,-1,55225,-1,677834,619971,-1,-1,-1,-1,-1,784965,-1,502883,-1,111479,-1,633436,934187,443295,292253,565425,767712,768512,-1,252685,697594,846468,171579,258434,907219,503822,121726,865883,84573,-1,-1,-1,352161,695738,52390,26188,368144,134363,-1,539928,931744,-1,770300,-1,-1,180543,362060,-1,194980,-1,265549,-1,-1,-1,-1,-1,-1,-1,241801,-1,457127,-1,649782,-1,627663,500465,-1,171380,902890,-1,64878,887041,-1,-1,-1,228243,976472,433764,-1,449516,-1,511439,364837,387818,-1,-1,-1,272643,864650,-1,-1,402405,-1,-1,938669,-1,-1,400295,299510,-1,-1,255443,897705,-1,-1,401798,933303,-1,508554,-1,36335,-1,-1,-1,82356,615576,-1,195851,655402,-1,-1,-1,-1,298076,471423,-1,-1,222204,-1,-1,478636,705583,-1,-1,968599,-1,222096,297412,906235,610559,689297,374547,-1,224722,808370,614826,-1,-1,770420,-1,610821,90947,-1,-1,999337,551374,-1,-1,697404,-1,182340,-1,-1,585887,-1,496942,153325,765520,-1,-1,-1,-1,-1,383713,-1,650651,967214,100438,358920,-1,-1,-1,-1,-1,-1,-1,262762,52681,286444,852228,920881,-1,122,-1,881769,-1,-1,2394,-1,-1,-1,-1,602090,622782,-1,849750,542967,541454,-1,-1,826146,-1,-1,-1,-1,386395,-1,-1,-1,-1,-1,-1,-1,105125,633532,311468,562756,-1,-1,673606,-1,876187,941676,422421,298418,626596,-1,610839,369254,-1,-1,-1,-1,56284,700305,670466,174930,293018,565995,895460,-1,232380,-1,259635,201611,-1,906474,670734,49330,-1,390539,826148,275801,934510,92971,379870,962953,658397,265916,-1,137732,190994,551938,443045,-1,708289,693476,382501,-1,-1,674785,803857,516271,712064,80549,765281,-1,910102,-1,-1,-1,167111,944687,-1,-1,-1,469776,385338,-1,776721,624806,-1,527805,839225,579726,-1,767145,-1,715534,-1,-1,-1,-1,-1,-1,189284,-1,390576,-1,-1,-1,997386,134871,515935,-1,286577,-1,710933,-1,-1,-1,337222,-1,588396,577099,959828,474011,-1,614740,536736,169115,482071,606858,875440,228872,915085,-1,-1,409432,715849,241354,149547,-1,65838,-1,617704,-1,-1,-1,621698,-1,-1,-1,667208,668722,828630,-1,-1,312616,888676,-1,732745,188865,566048,-1,-1,-1,-1,-1,849305,-1,-1,301300,-1,-1,528387,-1,-1,-1,185695,421352,-1,486546,-1,-1,-1,686435,-1,259954,264829,733995,765613,944680,-1,457361,164425,-1,776277,353833,688555,469372,-1,960528,769442,-1,604499,-1,496639,-1,-1,-1,-1,-1,-1,-1,395129,-1,120405,33622,-1,76366,253345,-1,620826,943455,724323,497144,-1,-1,967582,-1,27540,899735,-1,-1,-1,304127,-1,-1,812522,848147,641044,-1,-1,-1,-1,174935,825541,-1,-1,-1,247331,-1,-1,413573,669557,-1,738175,-1,-1,178731,-1,-1,-1,178994,-1,-1,858339,187793,-1,-1,834582,-1,192764,214152,-1,-1,-1,-1,-1,-1,-1,938581,-1,657324,-1,-1,145936,-1,757868,444415,691521,-1,-1,507575,350159,608934,508384,-1,193082,64109,90110,752631,-1,-1,-1,321712,695644,-1,238310,783297,-1,-1,-1,207288,564353,133128,-1,-1,-1,-1,361641,-1,-1,-1,897940,-1,351038,358247,-1,202975,654673,553837,496498,200981,176489,440414,-1,-1,-1,305939,-1,-1,-1,5663,-1,730312,-1,-1,-1,-1,-1,689920,611456,496220,-1,143005,373791,-1,465509,832339,493420,144175,-1,91835,546307,-1,-1,430733,-1,519889,962713,-1,-1,952415,-1,-1,529627,-1,-1,459914,793011,-1,-1,194417,336606,463348,-1,-1,399491,770854,103785,113841,817510,617457,-1,280054,974271,126200,-1,190039,576659,-1,886464,-1,410316,-1,939897,837031,78385,-1,565110,127453,-1,-1,-1,574243,-1,143657,-1,-1,902324,586882,-1,-1,920092,549422,917323,-1,561251,-1,505885,484523,-1,897165,67322,-1,-1,-1,328593,725102,257660,-1,123755,-1,-1,-1,335667,564331,249890,-1,-1,-1,-1,795834,-1,-1,271948,319419,147238,170979,544410,-1,164601,157572,-1,-1,436763,271140,-1,-1,572115,495852,632661,-1,884821,739895,900457,-1,479916,830657,562484,-1,-1,3491,763195,649667,-1,-1,939454,-1,-1,325363,478251,-1,-1,828765,-1,-1,-1,647409,-1,577538,542844,350698,-1,-1,153634,-1,-1,735861,-1,522866,299817,-1,-1,414306,170869,-1,993490,527924,-1,-1,432161,346048,956679,-1,232689,822453,706433,336075,-1,-1,232263,597823,36992,-1,-1,741642,4720,-1,-1,779499,-1,-1,454857,-1,-1,-1,-1,737948,676183,-1,240104,-1,556471,893313,-1,210394,658937,56442,231562,-1,-1,539270,-1,729637,-1,-1,-1,-1,-1,552393,993766,149648,826940,-1,432651,141179,-1,507925,-1,-1,-1,587290,-1,-1,236022,499701,958828,-1,-1,451788,-1,767172,875033,444868,315018,646234,841425,-1,-1,-1,-1,-1,359283,477914,-1,-1,-1,302430,754537,704155,-1,685469,763725,-1,192228,-1,-1,-1,353586,-1,-1,84719,-1,-1,-1,-1,816372,-1,541017,-1,-1,563142,-1,-1,-1,10903,632323,-1,-1,7219,-1,-1,913824,-1,-1,-1,-1,-1,163111,-1,-1,-1,51510,883804,-1,576818,-1,-1,-1,932785,819910,427692,-1,-1,899769,-1,273733,-1,-1,42553,-1,898734,232409,-1,532470,-1,805922,-1,433707,-1,492042,573414,395967,728421,-1,-1,-1,712171,-1,356395,-1,-1,710616,300467,45270,-1,995903,707008,-1,-1,-1,183331,77065,-1,-1,-1,-1,683053,656466,747586,909824,-1,702204,-1,-1,-1,547858,-1,236249,557907,42793,164584,-1,870957,63408,717735,-1,-1,213445,841883,-1,-1,945163,644747,363526,530904,1299,-1,98047,-1,-1,-1,91538,-1,406621,153665,737744,757282,417820,-1,-1,-1,-1,285388,944161,942385,-1,-1,501792,109079,-1,198539,-1,-1,-1,-1,874671,668804,-1,-1,337039,-1,-1,114956,717866,499347,169696,41659,724426,960482,-1,540380,733124,468837,141666,-1,-1,134065,-1,673576,634283,-1,-1,859169,-1,381339,-1,-1,580455,-1,576478,564514,427458,-1,-1,-1,-1,-1,695376,-1,-1,-1,240450,-1,568845,-1,705567,215861,617783,147197,-1,184151,41248,-1,217908,-1,-1,623106,752691,-1,20232,-1,209713,494904,-1,121792,-1,278759,1049,-1,-1,971703,910934,897820,-1,506590,-1,-1,-1,42006,843550,665895,987691,-1,-1,601618,595039,221794,-1,-1,820031,870363,775711,258823,509401,-1,489844,-1,747591,992025,-1,849277,972168,770373,74717,986552,886321,514635,709479,-1,629684,799073,353258,-1,752647,-1,841737,-1,195483,-1,-1,880751,242919,38978,115850,-1,386420,-1,-1,-1,-1,-1,269241,119642,-1,963802,877960,660871,-1,-1,715946,782265,-1,629138,338108,-1,-1,-1,566993,289279,-1,663185,-1,-1,-1,206684,277005,-1,821066,960700,180523,-1,-1,-1,-1,469891,-1,496121,-1,242602,-1,545604,742661,670254,354365,262275,682324,-1,-1,-1,55994,-1,-1,-1,-1,952737,761482,-1,-1,-1,-1,513133,-1,-1,173109,928768,-1,778628,-1,-1,-1,333177,-1,809474,630270,280340,-1,-1,768231,670818,287827,535253,-1,335297,429093,-1,115724,266715,-1,596794,850109,-1,790495,-1,504740,-1,-1,-1,-1,448733,-1,-1,533575,919716,-1,-1,-1,-1,-1,424701,953639,28320,807799,550113,400773,76775,-1,414452,-1,852485,828881,-1,-1,323862,801897,-1,-1,-1,307146,-1,528268,580941,-1,-1,-1,187834,-1,192149,-1,-1,701425,-1,958270,-1,597130,-1,590080,-1,-1,-1,-1,-1,-1,828055,-1,-1,-1,-1,-1,581038,806595,-1,-1,-1,740552,-1,-1,545679,778214,908885,731473,-1,29646,265553,-1,-1,-1,309089,47542,-1,290835,836871,-1,-1,662312,441824,736742,-1,744143,-1,691038,294639,571611,-1,-1,301268,-1,-1,615837,-1,523693,388508,39218,24425,131458,-1,-1,457283,-1,542709,-1,512949,-1,68444,-1,-1,94364,-1,-1,-1,283543,928754,-1,-1,-1,-1,-1,313881,-1,105095,324321,-1,436087,906745,108338,923504,688891,704761,-1,-1,-1,-1,393680,-1,70359,496141,302681,-1,-1,-1,-1,-1,909929,471690,-1,-1,-1,-1,889674,-1,525187,-1,803549,-1,500435,-1,-1,991143,922040,-1,804253,-1,-1,-1,-1,-1,991763,271414,-1,-1,-1,-1,300866,497613,382587,-1,145565,-1,62300,243990,953667,-1,-1,-1,-1,-1,-1,73919,-1,990186,-1,-1,712472,-1,-1,179914,568597,301792,-1,916357,-1,-1,-1,891264,551451,80255,195212,694958,504605,897743,140912,256328,228351,-1,603474,24918,759459,-1,754862,-1,776042,120512,912607,-1,404540,-1,6619,844298,-1,213222,250874,-1,-1,76848,-1,121318,-1,482760,99193,-1,-1,-1,-1,-1,951769,-1,602343,-1,-1,-1,878118,137005,-1,-1,-1,-1,871727,8314,-1,-1,-1,580611,-1,-1,-1,-1,-1,656349,203765,-1,-1,933270,-1,-1,-1,-1,373509,-1,-1,-1,335845,852009,-1,614744,587553,550842,-1,185838,599618,-1,-1,197435,-1,368413,119743,861197,-1,-1,317978,217794,-1,-1,701948,432401,801839,-1,-1,-1,9741,-1,-1,879702,942207,422216,-1,-1,401744,374326,-1,-1,661464,343808,708397,-1,-1,-1,24363,-1,706303,-1,933642,-1,235851,780969,310955,-1,261561,577785,-1,353516,-1,-1,-1,-1,-1,-1,993668,110753,487735,498022,-1,-1,-1,-1,187019,446588,724772,-1,-1,442610,333717,424232,-1,993534,-1,816103,245232,-1,-1,-1,-1,953696,784573,985715,-1,-1,-1,594068,328904,995998,-1,339515,704203,-1,-1,966438,582506,-1,-1,430282,-1,48277,866275,593561,-1,982548,-1,565405,-1,-1,-1,63341,941244,621761,-1,-1,-1,-1,212570,386733,758015,65981,-1,-1,435596,565805,580284,167852,957289,187684,-1,327013,959847,-1,891688,127026,-1,368917,84139,640494,-1,641183,-1,-1,227815,289260,704242,-1,-1,-1,795656,815539,-1,-1,177246,183848,-1,-1,39839,676342,360777,506251,979166,453844,-1,370059,-1,-1,-1,-1,858092,-1,80707,440818,847695,-1,887342,-1,123041,575059,-1,191637,164817,103250,464155,518483,947729,231748,-1,-1,-1,670543,-1,253933,-1,-1,-1,811646,328489,174517,289417,-1,-1,132341,-1,733350,508115,378511,-1,456494,479308,563202,-1,299918,-1,-1,493767,-1,-1,770658,943848,-1,-1,952841,-1,606154,-1,-1,-1,-1,-1,568088,-1,-1,-1,-1,-1,-1,-1,553535,-1,121494,920742,-1,-1,-1,775596,-1,-1,-1,864912,223414,-1,-1,-1,-1,948024,-1,577597,-1,591425,-1,-1,895308,291455,207607,41801,943335,-1,-1,750469,535952,-1,-1,-1,-1,374396,-1,-1,-1,327994,465921,-1,652890,-1,987976,-1,637469,-1,-1,-1,-1,-1,-1,370515,-1,-1,-1,806813,-1,-1,488027,453018,882663,61545,-1,-1,-1,301190,-1,-1,-1,972575,-1,-1,699738,215168,235154,-1,-1,353999,-1,-1,84130,-1,-1,749959,51353,956380,995036,-1,214596,433425,371984,-1,785876,60132,899657,889145,-1,-1,807094,482879,263726,648953,-1,902148,-1,951331,-1,391724,840112,-1,900496,-1,-1,298382,-1,-1,387958,-1,-1,880560,-1,599949,-1,439127,-1,-1,422821,-1,-1,-1,391627,-1,-1,-1,952905,-1,-1,-1,-1,-1,-1,61524,-1,443683,28073,-1,-1,839251,-1,-1,-1,590231,-1,290290,-1,250907,-1,811756,-1,-1,448947,423560,253771,308702,972479,400953,-1,-1,962737,-1,400287,-1,-1,957785,775866,222034,-1,-1,-1,446712,523600,-1,934473,-1,746285,938949,918872,710314,22073,876151,-1,-1,72108,-1,-1,-1,-1,-1,277354,982449,-1,956560,780025,-1,-1,668995,-1,-1,342291,150956,-1,-1,855624,700568,864118,-1,745803,348875,-1,-1,-1,-1,758804,21855,923915,-1,447246,-1,-1,196636,-1,-1,-1,587755,-1,-1,658977,650387,182176,148288,481760,-1,322355,-1,371658,737075,-1,-1,165677,54947,-1,128060,-1,56990,-1,234730,-1,-1,796219,874024,958844,973842,-1,502326,-1,584551,42997,896969,679947,450996,294659,-1,-1,763629,743850,-1,290160,-1,715796,-1,272947,-1,-1,-1,823092,375879,771522,-1,438955,-1,909545,-1,-1,887177,929844,916190,875486,-1,-1,496374,523488,206051,-1,-1,-1,451045,168122,-1,775297,42968,-1,30282,44271,-1,451832,-1,688001,424906,-1,421247,-1,-1,557233,227275,-1,223318,-1,-1,614426,412764,-1,564037,-1,589449,-1,310056,-1,-1,776732,-1,648583,356578,-1,-1,53180,-1,411777,912589,-1,813607,-1,238973,779146,-1,-1,-1,77377,409621,126908,502128,66337,818838,-1,-1,280583,879172,781266,762185,-1,-1,726831,463707,424814,-1,-1,263467,-1,-1,-1,-1,416575,845852,-1,-1,782135,201605,-1,140879,-1,332958,791048,767975,-1,977608,243256,-1,961628,-1,143964,180705,294660,-1,-1,-1,236149,183248,1772,133313,-1,-1,931235,77492,-1,-1,-1,-1,562460,658159,817616,898454,96833,765935,337335,734001,882648,164465,-1,786094,359595,320815,-1,343473,-1,-1,-1,821617,-1,-1,596611,919165,-1,277485,-1,174507,-1,90590,-1,-1,838134,-1,-1,352098,-1,-1,-1,-1,341670,-1,-1,-1,-1,340761,-1,-1,-1,-1,626976,-1,341629,595532,-1,427063,-1,54039,-1,-1,209830,765760,991504,-1,-1,-1,929149,-1,43604,143131,958145,-1,-1,41941,263078,832221,945802,-1,261942,-1,-1,-1,111421,-1,163617,-1,628533,457307,-1,371095,-1,989423,-1,-1,-1,462375,-1,185414,-1,-1,-1,108807,-1,783270,567540,955523,-1,-1,773765,806159,199831,82492,-1,-1,-1,-1,502507,-1,-1,-1,-1,398244,514451,-1,646141,328699,87003,-1,514091,437651,-1,-1,808237,-1,913447,-1,314085,-1,818863,339460,800262,479810,-1,-1,-1,660088,341839,-1,791570,769546,-1,938784,-1,-1,258364,-1,-1,186874,561870,783959,249754,-1,-1,-1,-1,-1,-1,350115,-1,961316,-1,44810,-1,661594,608220,-1,253326,-1,407589,803973,-1,-1,362489,-1,-1,469536,-1,-1,724361,666907,-1,-1,937264,-1,72236,-1,-1,-1,-1,-1,-1,220810,824796,-1,521903,-1,757770,233668,-1,-1,411884,-1,166402,233829,-1,-1,-1,-1,-1,1512,-1,775461,944861,-1,-1,-1,637886,797360,-1,615225,971570,693239,588202,-1,206003,946814,740802,-1,-1,-1,-1,-1,-1,828903,-1,-1,-1,285098,764989,-1,-1,931579,551323,-1,-1,504339,-1,388692,-1,-1,-1,212221,-1,-1,498994,473533,-1,510051,506287,813033,933335,116894,996733,-1,-1,-1,993839,-1,-1,-1,158353,-1,129012,-1,-1,-1,-1,443687,454655,-1,466777,-1,740441,-1,314013,947855,654362,-1,906066,-1,-1,-1,-1,-1,-1,-1,-1,-1,141862,-1,196784,36255,-1,135995,776436,552591,-1,495759,728162,753864,98044,933306,11517,191319,-1,-1,-1,-1,-1,505793,-1,496663,99873,-1,113546,-1,266900,-1,964813,-1,845878,572214,-1,452829,361108,452460,-1,94728,212409,784375,-1,-1,-1,-1,-1,-1,35233,-1,-1,-1,467934,989161,-1,247178,-1,-1,586716,-1,530623,895541,-1,365859,519335,21405,-1,-1,-1,-1,569931,-1,-1,715734,-1,-1,629113,930846,-1,-1,797334,-1,-1,-1,-1,697733,-1,-1,238966,2725,-1,858814,-1,991319,941798,962693,-1,-1,-1,71759,-1,447085,-1,861136,-1,873702,430824,302128,526835,-1,799857,282926,-1,53022,806651,858560,557332,-1,798753,-1,576880,-1,351708,-1,-1,-1,-1,-1,-1,372852,-1,493247,888677,660989,505477,-1,-1,-1,-1,-1,501838,-1,-1,-1,397169,-1,-1,-1,802167,-1,832329,653502,865092,696794,-1,831815,-1,877039,177398,-1,391943,-1,-1,-1,636428,808137,-1,-1,712066,-1,-1,-1,-1,554348,737394,-1,-1,-1,-1,991186,-1,-1,-1,580905,-1,-1,201900,560124,-1,-1,-1,363196,524094,-1,-1,779156,148258,150456,-1,-1,546157,880703,-1,-1,-1,-1,471938,-1,363774,332443,46006,102610,167011,-1,855828,-1,-1,210592,-1,519654,-1,244826,-1,289676,498595,-1,-1,-1,-1,-1,259785,-1,255359,850603,-1,-1,58132,-1,-1,945323,-1,918475,900307,216120,22602,508292,626660,829496,-1,-1,-1,-1,-1,498927,-1,-1,-1,827792,620514,527632,-1,699226,731000,-1,-1,-1,-1,725383,143003,-1,-1,-1,-1,-1,537127,358698,701004,-1,-1,736094,979962,-1,-1,-1,255706,402246,-1,477190,-1,-1,-1,956528,-1,833562,-1,-1,626212,187666,-1,-1,-1,-1,-1,781404,881655,-1,-1,84901,-1,-1,-1,-1,585104,526555,-1,-1,-1,591700,-1,868090,-1,204797,17959,-1,-1,-1,-1,-1,-1,-1,390289,-1,273234,198852,87146,73827,-1,325349,-1,-1,-1,-1,316153,687448,827445,-1,417129,-1,-1,-1,486183,573212,693936,-1,564665,-1,194324,805005,-1,29423,697809,718413,-1,-1,-1,131153,469651,-1,745295,416218,-1,524143,-1,969842,-1,-1,866997,331600,-1,482193,-1,-1,-1,-1,765112,-1,-1,178509,-1,-1,972671,831343,-1,-1,-1,-1,-1,421602,-1,992584,732233,381,-1,-1,-1,-1,434643,-1,832597,-1,569649,324863,-1,-1,422990,493887,-1,-1,356024,-1,-1,-1,-1,404378,649832,-1,443017,-1,-1,-1,703801,-1,-1,610031,408345,603659,21253,556803,419721,240689,609327,299886,662350,865102,-1,146343,440663,843841,-1,225892,785875,534860,663069,-1,-1,-1,-1,211651,831083,319209,-1,-1,-1,340053,194292,-1,-1,-1,111119,292038,-1,-1,-1,-1,-1,938933,420780,357429,-1,991152,717599,854961,-1,-1,203006,47894,-1,-1,559091,-1,332323,-1,-1,-1,-1,-1,550516,505353,675758,-1,-1,-1,273577,-1,630508,64576,-1,-1,375759,-1,-1,677721,588902,666240,920416,-1,-1,853249,240411,-1,-1,560646,-1,-1,-1,-1,-1,-1,306990,-1,952089,15456,-1,-1,-1,398648,-1,467606,-1,-1,-1,-1,364158,11688,443797,-1,-1,761313,-1,-1,-1,823169,220130,-1,-1,403181,-1,786919,-1,-1,-1,-1,653609,-1,970921,905157,172054,-1,-1,-1,146854,948969,209318,-1,537161,-1,185241,970738,-1,63254,625503,-1,566317,-1,641219,337910,363327,840019,-1,882150,581786,104528,516900,-1,-1,-1,851124,43841,-1,-1,222547,-1,185061,-1,-1,188901,955942,-1,-1,897557,-1,-1,387949,369123,5566,308160,914299,-1,-1,-1,-1,-1,538573,-1,690915,-1,-1,-1,40528,-1,547414,474335,-1,-1,-1,-1,-1,721149,300818,-1,640717,-1,-1,-1,334038,-1,-1,587632,195935,-1,345801,-1,-1,-1,68891,-1,930866,509426,195792,115252,-1,-1,-1,200363,11522,-1,865470,542084,-1,-1,204762,-1,6735,-1,439342,-1,79758,-1,-1,-1,-1,51434,374590,-1,-1,529346,-1,-1,807309,562570,907133,-1,676299,168745,-1,840427,-1,13482,716549,-1,-1,796445,930996,506386,-1,981279,-1,422331,-1,-1,-1,398717,296203,921604,-1,-1,686936,-1,-1,-1,734993,141284,-1,-1,776054,-1,-1,876759,-1,-1,865319,592682,-1,834504,921862,67636,-1,-1,-1,105845,-1,-1,-1,521363,322015,-1,-1,-1,843642,46137,-1,842079,976177,845013,-1,665940,-1,-1,-1,857525,-1,-1,-1,980439,567009,489239,38589,-1,-1,-1,-1,-1,114295,312937,-1,-1,619126,-1,-1,-1,-1,221127,209189,945869,778675,63332,-1,-1,255178,-1,-1,254818,-1,-1,-1,-1,100702,-1,-1,-1,-1,728658,689765,684795,-1,143383,632825,-1,-1,759294,208877,-1,797311,142445,-1,847397,908164,360682,-1,439419,-1,51632,80683,311218,-1,759255,386210,-1,-1,131032,-1,579814,-1,756709,467852,451795,640199,782675,30003,677520,51316,-1,326284,-1,487916,524696,774327,710230,-1,-1,641153,547874,454906,345840,544291,-1,686287,-1,-1,-1,172142,-1,-1,172832,447585,31763,286159,-1,986185,-1,579274,427994,-1,-1,-1,-1,761169,866861,568879,-1,-1,22262,188861,-1,502853,-1,419698,160365,827696,281996,327823,-1,-1,475917,-1,142867,688724,-1,-1,453560,-1,-1,-1,988693,354708,123705,-1,852491,584880,-1,-1,289147,542862,-1,654382,-1,-1,-1,-1,-1,824748,-1,763198,-1,473156,-1,-1,549700,-1,-1,308286,-1,-1,909397,503617,475023,-1,-1,122610,620361,487100,-1,-1,-1,-1,260754,-1,343392,-1,128197,-1,841020,426160,743939,165168,-1,-1,666942,641866,958756,-1,-1,436174,-1,-1,-1,-1,-1,-1,-1,-1,-1,397784,517038,-1,-1,364741,653661,918612,-1,-1,628377,988974,10296,-1,-1,-1,-1,412724,981603,-1,438246,-1,-1,-1,915095,863792,363785,906108,166937,855632,-1,212668,452873,450209,474410,-1,-1,26802,111839,138922,-1,-1,98163,792726,-1,311664,-1,727582,-1,706367,427346,-1,-1,-1,-1,-1,-1,503299,-1,-1,407248,-1,-1,-1,128223,-1,683964,-1,-1,702052,63495,697282,17668,-1,98482,-1,670922,-1,142079,-1,402201,-1,158599,-1,-1,32428,301362,-1,866778,436296,97395,631737,100375,-1,553073,-1,1287,359069,15637,635774,-1,-1,392953,-1,117210,-1,986066,-1,582248,500056,134228,246681,122165,-1,90087,32443,-1,-1,-1,-1,151347,784475,792871,-1,117205,-1,-1,268041,-1,-1,947008,315399,-1,231819,726966,606380,718045,-1,591824,-1,374625,-1,-1,350731,418546,397731,-1,619430,552819,-1,755804,-1,516545,574351,-1,-1,-1,-1,-1,659700,593690,-1,150041,-1,79709,-1,363820,219549,937054,707631,998628,882749,379010,-1,-1,942239,-1,-1,893072,-1,-1,-1,-1,-1,352577,-1,545351,397098,646829,437573,385406,-1,-1,376197,490114,38785,-1,-1,-1,543742,70368,-1,346592,-1,-1,-1,690539,-1,342260,-1,-1,-1,233533,50606,669898,117425,791607,-1,774771,-1,264513,-1,692150,200489,-1,-1,24499,-1,160013,789937,272581,-1,985469,-1,488155,-1,-1,821233,35070,402760,-1,491021,-1,-1,661130,536368,354012,-1,-1,-1,-1,163527,805021,75100,-1,-1,85661,210456,-1,-1,706682,565131,-1,-1,76268,-1,646152,652788,50073,-1,-1,434977,-1,320272,-1,-1,822697,-1,101388,-1,329995,-1,800265,-1,120204,440455,347843,998703,223192,591697,259424,485803,-1,-1,-1,18154,416490,-1,765528,-1,628823,-1,-1,-1,349937,-1,822584,611757,998079,-1,91099,782968,-1,-1,797736,942225,-1,399440,-1,-1,727805,896057,360114,-1,-1,-1,-1,411993,-1,863674,259827,387474,596004,-1,919344,336521,-1,72995,710876,508802,85613,-1,527859,-1,-1,-1,978486,-1,246279,642238,-1,924498,298362,735228,874557,306746,588502,6048,492257,399391,898475,840116,-1,-1,-1,-1,-1,-1,-1,-1,-1,584441,-1,617514,-1,306480,-1,-1,-1,-1,267118,-1,419500,-1,-1,-1,154449,-1,193907,25803,-1,-1,906286,524963,-1,621667,-1,-1,548712,124974,272881,800740,483514,-1,169337,678060,-1,29614,146579,-1,-1,828629,-1,-1,481546,651699,424511,245567,-1,138150,552967,157661,876900,-1,-1,-1,96390,-1,-1,-1,297450,-1,-1,-1,-1,-1,-1,28339,104837,-1,264616,435114,-1,-1,530991,-1,172971,124794,881006,-1,843976,302678,-1,963254,-1,795350,218979,278331,-1,96638,-1,399804,-1,-1,-1,-1,-1,-1,-1,-1,521438,575782,-1,-1,-1,598654,-1,466302,452639,838577,-1,918670,639951,619969,275570,369314,-1,211015,-1,-1,-1,85304,-1,401796,-1,-1,-1,555720,942979,689090,725124,-1,-1,884594,956390,-1,91370,-1,779072,-1,-1,237957,-1,191795,382418,-1,997364,596631,706978,-1,-1,273035,-1,783296,-1,145513,306807,-1,755429,-1,-1,342516,-1,870902,923372,-1,296374,942987,400231,-1,-1,-1,-1,309510,-1,-1,210718,-1,899632,86560,-1,892033,575132,107647,794956,513583,336561,271075,992581,197840,283417,-1,-1,-1,-1,248551,751275,-1,-1,-1,596169,302581,896530,117008,630843,68014,598090,-1,668770,76627,232734,-1,-1,-1,902077,762585,911245,-1,-1,126309,460652,-1,39131,-1,773797,-1,-1,-1,-1,-1,860953,161613,-1,708786,-1,-1,-1,-1,-1,242812,-1,-1,631208,-1,-1,-1,881742,592802,564972,-1,-1,721825,37700,-1,-1,453650,703624,536449,682758,-1,-1,-1,-1,357820,896052,-1,384644,334023,-1,271480,369661,-1,311209,-1,927521,-1,96923,-1,-1,508779,526363,-1,-1,-1,-1,532981,350959,-1,-1,14916,-1,-1,712272,988412,-1,939330,-1,-1,14802,102664,-1,-1,-1,-1,634569,-1,129305,482303,378378,609054,-1,-1,205236,803831,-1,-1,81974,-1,-1,793506,-1,401099,-1,-1,-1,-1,-1,246386,-1,-1,-1,58382,-1,40415,10289,-1,573344,-1,-1,120350,-1,-1,-1,-1,-1,-1,125776,-1,785971,108105,-1,734128,243114,872261,561013,102163,-1,216231,-1,-1,578833,396034,353271,-1,777795,-1,-1,397815,903588,-1,97331,226995,695372,-1,-1,-1,-1,280888,670129,497560,628174,479187,-1,-1,965346,809341,-1,-1,-1,-1,-1,4351,820418,-1,671288,473833,870313,-1,-1,900894,-1,284704,62942,-1,45516,667955,181505,-1,-1,339517,733432,188464,-1,871114,-1,506489,-1,453308,-1,935651,270118,779713,639110,110286,-1,172846,134189,-1,291778,-1,546346,412986,-1,-1,22470,837404,-1,942084,-1,-1,40821,-1,499003,-1,-1,-1,557392,293948,69702,735244,355426,-1,752498,-1,-1,-1,-1,-1,940254,747725,-1,-1,421910,-1,-1,305611,-1,615471,570972,-1,732329,-1,-1,537781,-1,-1,-1,-1,977249,542339,-1,435038,-1,437208,-1,471396,894637,225909,-1,46151,843588,334960,-1,-1,317872,-1,-1,-1,786803,-1,251030,548576,-1,240380,-1,-1,769966,-1,-1,-1,-1,-1,-1,880103,991236,-1,165284,-1,-1,-1,88578,319562,583931,115395,-1,265789,-1,380850,672943,-1,-1,-1,850812,-1,923405,-1,-1,-1,-1,-1,-1,-1,-1,-1,833016,-1,-1,350906,-1,794893,309975,462590,-1,-1,-1,-1,357629,519718,-1,-1,78149,-1,-1,271921,-1,-1,-1,157843,17763,116551,-1,141757,-1,295724,203004,-1,-1,166293,-1,-1,-1,620089,-1,123303,-1,115953,-1,-1,-1,-1,-1,-1,280680,192786,-1,-1,997427,-1,-1,919542,500665,723288,994773,777761,-1,-1,-1,320434,-1,-1,441810,-1,686086,-1,42659,-1,840457,216270,-1,-1,-1,397835,69281,543365,-1,-1,-1,811492,322152,-1,-1,938399,-1,-1,-1,968960,342208,479242,-1,-1,308416,-1,-1,576394,3325,-1,-1,-1,-1,949692,-1,-1,131275,657798,436680,-1,719632,882439,373090,-1,389489,-1,427491,723924,873813,-1,50652,303411,918055,-1,824991,76703,-1,-1,-1,376304,338125,-1,797691,546636,435791,141718,-1,446404,-1,150178,907538,-1,-1,-1,-1,-1,366477,-1,-1,585207,427599,-1,662524,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,595809,-1,-1,456921,-1,-1,-1,-1,87158,668573,611982,-1,563256,927710,-1,-1,-1,975808,-1,87080,58246,317791,215846,-1,-1,833661,-1,387021,-1,706557,-1,183648,264288,779089,-1,131118,310469,483052,-1,-1,241425,250049,721050,291621,198044,-1,524353,68034,-1,891929,-1,-1,569494,-1,-1,489657,502544,-1,736359,544963,612799,806090,-1,-1,-1,521352,686553,283164,693484,-1,-1,-1,341726,722684,-1,-1,-1,-1,-1,-1,-1,263305,-1,23776,-1,-1,-1,777955,133927,-1,-1,-1,286468,-1,150051,-1,-1,533066,779971,-1,-1,522458,-1,-1,-1,580520,709123,-1,584432,509961,235231,-1,792442,348926,799265,392875,-1,-1,-1,-1,-1,139201,360208,722912,-1,906219,-1,135451,-1,-1,-1,208384,-1,-1,-1,-1,918965,-1,678533,-1,-1,782607,941365,477082,-1,-1,452936,29728,294242,-1,-1,-1,-1,-1,-1,305949,-1,221889,-1,-1,-1,-1,-1,-1,-1,955558,-1,-1,585031,821268,-1,-1,424481,-1,749543,205583,690907,151510,857906,-1,-1,572632,975437,-1,956192,354660,-1,-1,416659,271912,514568,-1,575676,612053,18929,755396,305139,-1,-1,-1,236673,151937,977737,323689,551840,337073,270043,899049,687895,247154,188578,60666,-1,437812,-1,459314,-1,-1,-1,545922,-1,182898,-1,416672,-1,888090,759483,-1,-1,-1,926372,494783,147783,-1,-1,-1,-1,-1,-1,811227,-1,-1,-1,-1,274245,-1,680545,473576,-1,792986,711744,-1,-1,-1,87036,-1,-1,-1,964627,-1,-1,541988,322276,-1,386932,-1,570386,742677,62811,428392,-1,376264,18438,705100,35055,274618,-1,680302,-1,210884,-1,-1,69498,-1,496556,180099,-1,191492,-1,556735,688051,-1,399177,-1,10338,-1,664164,786869,-1,580716,615567,-1,820577,598755,-1,96333,-1,-1,-1,-1,-1,255224,667474,58566,-1,269088,-1,279907,-1,636265,697216,299451,-1,707609,-1,492890,869916,614328,623149,273701,-1,259362,-1,996349,-1,-1,-1,-1,475714,-1,721024,-1,64441,-1,702714,602811,-1,308247,-1,-1,471967,-1,-1,-1,774369,919807,811791,-1,-1,-1,954217,997825,-1,-1,558434,-1,698585,-1,-1,849020,-1,-1,162357,542438,292087,-1,-1,-1,-1,612257,145732,-1,-1,-1,846852,526896,-1,745343,727187,696869,-1,546252,563764,196712,-1,-1,857612,434266,-1,923234,84809,-1,-1,757127,372621,-1,445178,43771,82621,-1,-1,427114,-1,687098,-1,45701,972260,-1,-1,-1,723815,676177,352083,-1,-1,-1,-1,650648,44978,48810,-1,-1,-1,803598,-1,-1,26098,586513,859689,-1,761795,-1,-1,-1,-1,-1,22729,-1,-1,753015,-1,402446,77527,-1,695408,-1,432585,796366,-1,429584,674524,-1,30153,166002,555235,872006,-1,-1,796351,-1,901362,599519,-1,481808,-1,-1,378674,122633,236703,-1,-1,812560,-1,-1,-1,-1,-1,180081,-1,-1,-1,-1,-1,588229,-1,-1,133905,68631,-1,-1,593931,490286,-1,768980,-1,-1,459312,686341,-1,624584,-1,60477,-1,407162,-1,-1,233776,552283,814274,417436,620150,-1,-1,-1,414226,633822,-1,-1,45717,727493,-1,-1,884030,-1,601188,981633,871600,112171,89457,336867,-1,424328,-1,731005,-1,43852,349567,868488,553819,-1,-1,-1,767533,-1,-1,337530,-1,-1,-1,-1,130627,-1,686158,708529,764823,554600,-1,-1,672532,-1,-1,475211,-1,751544,-1,-1,-1,947821,-1,-1,-1,294995,-1,859276,395282,396109,242067,386936,378321,-1,615157,-1,-1,-1,444158,409084,461207,772236,-1,-1,-1,625941,410431,-1,-1,100606,276086,881034,299288,-1,-1,-1,-1,-1,-1,-1,666612,-1,926165,-1,-1,814332,-1,-1,-1,-1,705845,-1,738125,556515,-1,830498,-1,804254,561464,-1,87893,321436,770264,-1,753340,-1,481357,873749,781712,881121,-1,618924,-1,91719,84769,258398,26472,664935,-1,84605,-1,-1,761773,-1,-1,51227,-1,321296,58912,712105,-1,-1,277419,-1,629242,-1,749408,163072,433351,331549,925852,48630,-1,-1,729098,-1,-1,-1,-1,874817,619527,-1,-1,348157,709195,-1,-1,602768,513187,592633,-1,156981,2720,-1,-1,637408,-1,124097,-1,132690,955828,-1,-1,528059,256483,352402,322520,-1,825823,-1,673490,-1,-1,603113,300604,-1,-1,983189,476235,-1,589398,141534,-1,35281,464575,136772,401012,-1,55308,281159,-1,-1,-1,371253,-1,-1,-1,-1,876088,387646,-1,-1,347119,-1,-1,911911,848776,307813,950225,-1,-1,784787,-1,-1,70083,-1,-1,-1,322056,-1,-1,134297,-1,-1,983447,-1,21883,-1,642458,654860,-1,21530,10241,-1,417684,451628,-1,343464,-1,398004,968157,-1,279654,-1,348539,-1,857625,-1,-1,590034,363693,-1,241913,-1,-1,796336,-1,-1,-1,-1,-1,-1,292395,470754,-1,255722,881685,382646,142319,791168,-1,307309,-1,242747,-1,-1,-1,700547,-1,-1,810526,-1,552574,36028,-1,166175,-1,-1,-1,495531,-1,-1,-1,962895,-1,707890,616363,188168,-1,-1,-1,452955,-1,-1,-1,192232,-1,-1,710238,318699,-1,190242,-1,740735,49930,-1,442395,994206,140125,583845,-1,-1,-1,351642,425427,647817,305100,848128,790865,-1,-1,37997,873475,93463,715867,-1,357954,863775,93963,571417,16326,-1,-1,-1,13357,814537,-1,-1,-1,624202,143512,330632,87664,-1,690398,55879,-1,752530,-1,154352,559316,157143,432906,-1,931495,325102,-1,-1,-1,379417,-1,980155,82195,-1,746228,65301,-1,-1,-1,-1,983536,43327,-1,-1,180024,-1,10150,919885,379145,-1,561348,771397,92897,-1,819059,-1,228691,246714,-1,310969,313079,-1,-1,857529,-1,916984,148019,566262,-1,386879,355757,486079,737822,604906,-1,438235,-1,-1,-1,-1,-1,695092,423783,-1,-1,995909,166675,-1,-1,-1,-1,-1,954669,-1,332932,597168,-1,763027,674827,769436,-1,-1,-1,800113,622762,171674,4478,-1,-1,-1,-1,646576,-1,880450,-1,-1,-1,-1,-1,-1,182051,700888,237930,-1,-1,-1,-1,816133,758946,-1,-1,345723,409107,-1,-1,11353,599106,487772,-1,963266,596330,593549,440702,-1,-1,447431,546268,-1,554883,-1,-1,715147,939053,100279,-1,894045,-1,17915,-1,278607,-1,950584,-1,-1,-1,-1,-1,415357,117725,-1,-1,-1,988125,-1,-1,348136,-1,-1,39471,-1,-1,949986,308433,-1,87577,-1,267705,657624,918708,183204,-1,95474,479191,902917,-1,-1,-1,792704,-1,-1,-1,402012,-1,-1,-1,826959,-1,-1,-1,-1,210687,434762,-1,729410,-1,533699,214500,-1,-1,-1,44188,856589,565186,-1,-1,-1,-1,-1,-1,-1,114044,223660,-1,544371,92850,566278,255519,-1,-1,860327,690186,-1,-1,-1,65352,-1,-1,675710,-1,552849,34482,244085,-1,822427,291543,391605,128262,-1,40770,753048,-1,-1,-1,-1,-1,304419,-1,-1,254126,-1,-1,683216,-1,900512,29243,-1,-1,-1,143668,885965,-1,-1,623261,-1,862244,182287,-1,111645,783098,-1,367444,188471,499954,12766,665051,-1,454573,-1,-1,923795,-1,720522,-1,-1,388680,-1,-1,582993,-1,-1,599384,-1,165593,25780,-1,74598,-1,41199,645256,-1,953372,-1,451427,762225,260719,266415,-1,542420,859630,70733,499953,153615,-1,643479,-1,544476,722079,-1,-1,-1,-1,719234,-1,918781,580442,-1,-1,355200,410761,-1,-1,-1,-1,-1,830335,428585,413190,-1,899976,-1,368031,806444,495102,570545,-1,-1,401719,-1,-1,-1,21352,364845,166176,417607,-1,339165,519651,-1,413994,757189,-1,-1,30066,432757,-1,-1,652185,-1,-1,-1,-1,-1,-1,170926,-1,16569,106840,-1,-1,-1,948588,167130,-1,377427,-1,-1,148473,858646,-1,539431,-1,-1,963734,-1,758967,715034,292857,-1,-1,-1,-1,-1,506811,620129,385026,-1,272587,100422,378183,-1,-1,-1,73219,-1,-1,-1,747728,467482,862853,680365,722281,-1,899004,-1,924694,205822,-1,435027,789264,831826,-1,430808,-1,-1,-1,-1,-1,-1,-1,-1,889000,950005,-1,-1,-1,444059,733191,705377,16111,-1,-1,-1,102757,-1,-1,-1,-1,-1,116471,-1,-1,910279,-1,545542,667634,-1,823818,-1,958142,182226,-1,251458,-1,670415,58682,611933,-1,-1,741271,709566,-1,-1,633572,-1,611377,471537,640274,-1,82343,-1,-1,155058,-1,-1,-1,578879,-1,-1,-1,-1,452932,284996,-1,143704,271838,543161,495064,62173,-1,-1,-1,84629,54835,552547,836914,491821,837768,-1,199104,-1,-1,-1,786059,-1,398662,622262,-1,-1,-1,-1,989095,-1,-1,497092,137275,-1,-1,36875,565589,810665,452179,-1,80991,-1,-1,999233,-1,-1,199514,550091,375483,-1,905239,-1,-1,-1,-1,-1,747502,-1,-1,840529,269140,709744,879350,289844,100825,941673,56984,-1,424839,116396,-1,-1,206903,-1,-1,-1,-1,479877,790009,-1,-1,242281,556063,-1,-1,806061,-1,332636,669542,-1,84064,318615,904533,534056,927154,-1,352520,953290,114766,188605,438846,600806,-1,-1,317892,-1,35582,-1,-1,17687,-1,302485,-1,112686,158169,405366,-1,-1,-1,109660,-1,-1,612503,-1,627791,197322,371008,-1,362235,280134,-1,8254,-1,585352,-1,-1,-1,-1,-1,-1,-1,436389,-1,344006,235276,438726,578768,705303,59812,749829,787696,-1,823567,570458,717405,356172,-1,634190,855567,-1,731849,-1,4606,-1,-1,421104,643324,-1,236245,-1,572528,-1,937748,194392,-1,-1,8067,-1,91926,981938,-1,257815,326842,-1,-1,-1,451443,-1,-1,-1,863542,-1,540262,-1,727606,557554,-1,-1,450492,-1,83415,926683,569567,780133,607024,-1,875209,-1,630472,-1,351364,-1,-1,-1,-1,-1,665384,897463,970672,-1,872843,-1,-1,152069,295936,869161,-1,816701,642057,-1,-1,117428,-1,697599,996216,-1,537736,123320,-1,851750,-1,-1,-1,-1,-1,926013,-1,304429,-1,-1,-1,964263,917453,-1,-1,-1,-1,-1,-1,988995,542840,64351,939679,934436,-1,-1,358644,17012,-1,69871,-1,982297,3164,381345,896588,-1,834204,-1,-1,-1,934004,-1,999503,961731,-1,824853,974436,-1,-1,875355,303804,-1,-1,-1,342492,-1,154368,-1,831461,-1,305613,228343,-1,-1,-1,716037,-1,-1,909990,316748,-1,-1,-1,-1,140090,508203,-1,-1,107959,-1,-1,276416,414640,600343,131197,-1,831226,990863,-1,583944,437661,-1,-1,542416,-1,-1,-1,374303,726051,366588,719527,-1,584279,859012,-1,745832,-1,757832,271401,802483,-1,879932,-1,-1,-1,-1,165914,993955,243169,-1,786430,400574,301059,829772,720797,-1,943187,518615,-1,526372,88691,826711,-1,-1,-1,-1,-1,558015,-1,-1,45262,-1,708708,456391,-1,-1,620094,366136,797652,-1,-1,-1,-1,485674,72094,987131,877757,536860,-1,282745,789849,906680,292261,-1,-1,158075,-1,517065,-1,69358,868336,-1,232053,-1,233796,865055,-1,-1,-1,785369,-1,-1,-1,904104,465030,810155,485198,57034,-1,-1,-1,-1,-1,-1,638652,917743,479250,552780,476683,399310,696159,98938,-1,354823,276467,-1,-1,-1,-1,-1,-1,870105,939351,506181,-1,-1,367637,-1,570691,888141,838736,520551,-1,-1,-1,321478,865316,122161,-1,434926,-1,917187,443455,-1,558746,310248,-1,637525,-1,872946,70567,-1,604759,-1,856959,-1,140718,-1,-1,-1,537439,914432,-1,-1,795235,757532,-1,-1,331575,991516,70880,-1,938374,-1,-1,687561,-1,-1,-1,-1,138837,838122,-1,760052,-1,-1,156333,-1,272330,-1,162546,601391,-1,952562,-1,490379,-1,-1,794510,-1,721727,-1,827889,13063,-1,-1,956456,-1,872693,996968,-1,280899,-1,-1,-1,-1,840229,183121,-1,625053,-1,679658,974549,557207,160198,718410,-1,437968,-1,-1,-1,-1,302627,853831,328933,-1,-1,341732,-1,166623,644852,770940,-1,-1,92866,-1,873017,83365,-1,662854,-1,18900,947418,220861,334323,-1,-1,-1,360576,-1,288854,715341,665341,-1,933578,-1,-1,480723,-1,-1,-1,132466,-1,-1,233106,-1,-1,-1,787961,-1,761308,-1,-1,-1,-1,-1,-1,-1,113693,414598,-1,535477,147489,83641,510686,976915,441731,600471,-1,21025,535731,-1,94619,-1,-1,-1,691898,692607,-1,-1,286931,482013,178520,-1,892094,128248,199465,-1,-1,-1,737574,-1,-1,-1,370269,-1,-1,-1,-1,39362,916081,-1,-1,19017,154136,629485,130965,-1,-1,-1,974443,-1,-1,717682,-1,-1,692306,676729,55739,554165,957189,11054,-1,-1,-1,418270,640197,-1,-1,-1,295183,145031,286115,579915,-1,-1,-1,-1,906838,965545,-1,-1,47976,-1,692238,-1,395855,328476,-1,-1,-1,-1,783637,-1,-1,784396,-1,-1,-1,840831,-1,-1,158864,-1,406504,-1,514602,191172,-1,-1,520614,863454,471312,-1,411707,-1,522025,-1,851328,-1,959644,658068,871135,-1,-1,-1,383156,805703,-1,-1,159014,-1,813508,-1,-1,452023,457693,860721,-1,-1,705169,-1,43029,-1,-1,459420,518786,283962,345741,-1,932101,943095,236851,-1,-1,824219,-1,914431,501172,741300,101775,-1,629218,-1,-1,-1,-1,169014,725638,-1,-1,-1,798693,-1,-1,25129,-1,-1,-1,932512,-1,-1,-1,7066,326335,509701,-1,315346,973648,-1,-1,236709,498862,-1,591043,-1,-1,49078,-1,-1,-1,-1,274238,964526,-1,362589,308863,84720,739524,919789,963122,872537,-1,-1,738080,351756,-1,863005,944888,-1,23566,122661,955753,704413,-1,-1,394186,-1,-1,117583,-1,-1,626555,-1,-1,310237,-1,-1,9101,-1,963692,209867,994090,-1,-1,964450,794016,570747,-1,959625,671806,-1,-1,609677,628209,426848,-1,50574,-1,-1,264180,875790,-1,943790,-1,758258,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,658527,241890,-1,467064,-1,341202,-1,727184,257476,-1,126676,554224,62388,613677,-1,-1,-1,-1,437655,257778,-1,-1,407684,-1,-1,-1,-1,-1,-1,-1,644259,-1,-1,694457,-1,158972,-1,47403,-1,-1,-1,-1,773469,-1,-1,-1,-1,716612,-1,-1,-1,-1,413269,442859,240076,499358,385306,462019,331800,-1,883324,-1,674879,-1,964917,-1,468238,640496,-1,-1,522737,903049,-1,521933,-1,-1,692731,-1,-1,-1,432037,316994,-1,-1,82521,96837,-1,648021,-1,178614,528812,437903,-1,537217,356910,-1,-1,-1,-1,962629,74888,-1,-1,-1,138017,-1,791025,524298,882856,405932,122477,-1,-1,142621,-1,-1,-1,112063,-1,-1,-1,442671,-1,-1,222456,82711,247950,-1,-1,273399,229339,-1,-1,-1,-1,287432,-1,-1,-1,-1,632750,-1,844471,74099,-1,796871,898434,-1,824003,109759,859679,-1,685905,-1,-1,-1,371562,529130,48880,-1,-1,928964,818434,757217,726335,584952,-1,231476,-1,-1,635006,78411,265904,-1,892681,-1,-1,325035,-1,-1,-1,-1,252072,-1,-1,949142,936451,-1,-1,248631,743588,169412,226663,-1,-1,323024,507077,-1,-1,784961,479742,450814,-1,480540,-1,-1,758121,-1,294360,-1,-1,45471,734088,-1,495673,886481,-1,76420,264635,-1,431447,391281,-1,313201,884691,-1,-1,725129,141367,703689,924419,-1,-1,-1,447957,-1,-1,346118,82131,-1,288751,-1,-1,-1,920496,340884,-1,-1,574435,-1,382639,-1,-1,-1,-1,572226,-1,-1,536008,151315,105935,-1,75134,-1,-1,-1,-1,573296,-1,948819,228330,711815,805308,621029,-1,285900,-1,595917,-1,-1,598764,-1,127764,915000,-1,-1,-1,906615,174826,500709,-1,-1,626642,100073,-1,-1,-1,286422,-1,71026,-1,666734,530024,535298,-1,558749,-1,-1,840746,347434,-1,-1,-1,153550,-1,38174,-1,624398,-1,-1,663847,-1,-1,-1,-1,976547,-1,-1,948361,3113,846197,428848,929152,333059,34725,-1,506567,806434,-1,574681,984404,-1,481433,-1,318852,488747,347241,-1,571518,274756,-1,-1,-1,-1,602829,59178,-1,-1,-1,707037,911020,-1,-1,984440,-1,746918,-1,695560,-1,-1,589741,-1,-1,-1,-1,508976,799975,776207,-1,669480,-1,-1,-1,104379,-1,-1,-1,-1,287727,-1,340762,-1,-1,-1,195074,-1,-1,184647,226215,829654,177338,-1,-1,197284,-1,268631,441238,112410,-1,-1,719280,-1,-1,814791,-1,-1,-1,529234,-1,-1,521431,-1,-1,72419,546063,451638,-1,237893,-1,-1,-1,-1,300609,-1,-1,82257,560473,-1,380125,-1,-1,503645,-1,76559,-1,754968,-1,-1,685180,877526,-1,307980,921228,603069,-1,331715,654187,699341,-1,-1,435489,142664,821871,674349,-1,145847,493823,-1,-1,-1,114903,599386,-1,-1,487090,30336,423479,-1,-1,128243,-1,928320,931253,15471,-1,216384,750603,-1,-1,-1,158319,-1,-1,-1,-1,-1,-1,515256,-1,301766,130903,815931,-1,-1,524288,-1,316476,-1,-1,95974,-1,504666,-1,114037,143489,-1,260453,-1,776055,-1,-1,142729,-1,748338,274120,-1,-1,-1,-1,545332,31925,750100,227612,630594,270537,470456,519535,-1,-1,164579,-1,145968,-1,-1,-1,121895,-1,931023,-1,-1,24838,-1,858201,308268,748832,764,-1,619429,-1,-1,148697,271179,-1,-1,11449,-1,783390,354539,995851,-1,823909,-1,409934,419981,188209,745738,795250,-1,-1,-1,-1,-1,962897,535070,-1,-1,812490,-1,610202,149515,-1,-1,-1,-1,-1,700257,519993,537033,-1,-1,422446,782562,-1,-1,76016,2957,-1,153437,-1,301887,903475,-1,-1,855919,-1,-1,-1,-1,-1,-1,-1,-1,355642,-1,923898,-1,-1,-1,-1,909268,615742,790320,-1,183642,16146,452484,-1,401208,-1,-1,-1,929064,793041,629446,-1,483899,784416,308301,691536,66260,689605,-1,-1,557295,857098,512824,971167,83684,-1,-1,-1,971791,-1,-1,-1,123210,395314,109276,735877,243902,-1,914667,574440,969074,-1,-1,641351,386323,-1,-1,-1,-1,-1,545439,232843,-1,120906,-1,-1,805602,-1,599273,-1,-1,-1,-1,150682,428304,34236,-1,265257,-1,751043,503277,-1,515833,964649,892120,197851,-1,658903,736704,-1,775063,-1,923937,-1,-1,-1,-1,-1,-1,431173,19415,832858,435426,-1,476824,-1,-1,-1,447066,385982,108274,-1,-1,903356,984998,98697,-1,222178,16269,238442,907526,-1,600921,-1,-1,25102,-1,411990,528794,123138,130943,-1,-1,963934,437916,-1,330562,86996,-1,-1,977513,-1,-1,-1,256877,-1,-1,931436,345149,-1,240655,415498,-1,8459,527679,237246,365441,478733,321179,-1,486731,-1,-1,275769,-1,-1,-1,-1,-1,-1,665334,-1,-1,334467,-1,75596,-1,-1,103166,739024,308724,-1,387610,-1,795186,-1,297677,-1,-1,-1,913533,-1,-1,802220,-1,-1,-1,828194,-1,-1,328173,816995,-1,635798,-1,409215,900022,724603,-1,-1,-1,-1,795137,673558,163648,-1,363518,621931,136857,562695,-1,885951,355988,718840,-1,-1,-1,-1,-1,-1,-1,567781,881662,340190,313675,381090,-1,615486,508604,-1,329647,28527,-1,14437,-1,-1,-1,193604,607326,629350,-1,-1,179450,596275,182677,791727,-1,902441,508049,717910,663904,-1,302961,298849,-1,381387,907962,935203,406034,-1,-1,323241,-1,651146,-1,-1,-1,-1,-1,-1,826359,701210,-1,371150,-1,306600,-1,-1,143966,838559,178192,287633,-1,-1,-1,-1,-1,397026,-1,494881,-1,-1,-1,-1,681441,674413,-1,-1,-1,886173,285250,-1,-1,-1,-1,-1,660708,-1,151851,-1,-1,-1,8456,682099,-1,-1,536079,526530,887974,-1,-1,-1,-1,-1,-1,739454,-1,59382,-1,-1,-1,-1,-1,370492,-1,485888,-1,-1,-1,620633,242549,668547,339496,-1,913523,-1,971926,100440,25669,798352,-1,986033,193395,968705,679654,252589,833867,324721,66469,660632,-1,814285,63741,856246,-1,-1,766750,322473,845981,128936,-1,964922,692010,824674,262601,-1,-1,10089,-1,136661,-1,583748,564553,871579,561542,702187,-1,103815,-1,-1,-1,-1,-1,943761,147469,-1,482421,-1,288949,-1,-1,-1,-1,-1,-1,-1,380222,569894,-1,640631,938978,107968,-1,-1,540829,660464,-1,676003,986335,-1,-1,334805,680575,580511,84427,-1,498323,128626,-1,-1,226128,298277,-1,-1,-1,486475,-1,-1,-1,-1,196200,-1,108932,662441,-1,346344,928108,-1,-1,551991,-1,-1,-1,-1,-1,410180,321380,-1,-1,-1,-1,420431,915357,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,175277,374071,428852,-1,-1,808747,-1,230576,991216,458641,79189,-1,791875,8328,-1,-1,-1,387484,226436,-1,-1,-1,-1,410171,-1,-1,608203,539282,830646,258728,176399,424004,-1,56511,-1,-1,461154,-1,-1,-1,445058,823076,-1,-1,663124,628257,248773,-1,595204,-1,942532,493791,741975,-1,-1,465805,756347,-1,-1,-1,-1,-1,-1,734440,267513,48925,647000,-1,-1,-1,-1,-1,-1,929597,-1,389882,-1,500359,669116,-1,661225,835560,643380,9123,860592,-1,995395,700458,446475,256480,-1,-1,494249,-1,70423,105152,-1,135519,883499,422334,-1,-1,754923,530694,862563,-1,-1,-1,462539,645546,917052,677184,-1,-1,-1,654024,-1,287558,344174,-1,690396,-1,606999,-1,-1,233470,743942,-1,638047,-1,-1,-1,722,280440,-1,-1,551826,652863,-1,-1,-1,-1,-1,-1,82661,-1,791332,-1,839257,-1,-1,-1,998781,-1,699609,732849,150163,804271,389484,485046,322119,422252,-1,-1,200321,-1,888742,173116,291174,-1,987345,334793,-1,-1,-1,796196,-1,-1,63407,704294,-1,936502,549839,-1,-1,-1,-1,-1,618055,-1,-1,-1,145279,672648,-1,-1,-1,447582,990315,-1,-1,950571,17629,-1,-1,-1,-1,265718,924700,-1,-1,662147,-1,-1,-1,-1,-1,-1,-1,-1,699359,570609,-1,805501,-1,-1,297764,593257,58242,-1,-1,867271,-1,-1,-1,-1,362708,-1,311922,795504,-1,207620,632716,-1,18597,365035,562836,-1,-1,244805,331982,478341,-1,365831,-1,455269,-1,514463,-1,-1,-1,-1,748552,-1,-1,-1,945354,886377,-1,327032,-1,-1,188647,-1,-1,-1,-1,790434,732604,-1,-1,-1,119594,539367,-1,-1,-1,317050,492326,-1,-1,780652,-1,134419,339626,405925,-1,-1,-1,-1,-1,-1,-1,-1,819111,291231,223876,-1,534994,-1,157307,-1,-1,-1,-1,923035,779035,-1,517551,128454,388875,807795,-1,981726,94128,-1,-1,-1,110333,-1,346536,-1,314624,-1,-1,825329,559743,888998,-1,-1,-1,539487,-1,734246,-1,-1,-1,324536,-1,501364,129996,-1,-1,484081,973255,-1,-1,-1,153581,554959,-1,-1,-1,899053,755570,-1,-1,775821,546322,464170,-1,-1,594845,271735,344265,-1,371823,-1,-1,-1,651632,223142,990358,-1,-1,234836,-1,41907,-1,428444,-1,-1,-1,92580,-1,-1,-1,698207,-1,600582,992656,-1,11183,-1,-1,471297,161110,-1,-1,826818,435150,-1,-1,809501,-1,-1,-1,479781,-1,808315,-1,478181,-1,-1,896388,-1,-1,769044,-1,815365,912690,138191,-1,151372,-1,-1,-1,501590,-1,-1,-1,-1,788094,429452,-1,822856,-1,899985,828119,89922,-1,124327,614484,-1,238035,389917,944832,-1,-1,-1,848364,7145,-1,918075,412200,424575,319670,369637,979229,225809,78238,-1,765282,260789,-1,-1,-1,340760,-1,-1,37334,-1,-1,-1,-1,-1,576646,288251,327591,-1,-1,-1,902645,-1,-1,-1,874218,440028,486825,876436,965434,440196,-1,481795,902727,398593,-1,-1,-1,-1,914277,-1,293720,-1,-1,-1,-1,492819,-1,312375,-1,-1,-1,29119,-1,-1,975553,-1,-1,-1,-1,-1,-1,295928,-1,-1,-1,-1,79244,-1,-1,459631,-1,983340,-1,923249,-1,-1,166271,-1,-1,-1,71472,599416,-1,402649,-1,-1,-1,993350,-1,799561,-1,177298,684422,893740,938673,-1,-1,732694,26517,-1,233354,468751,105902,272341,456729,-1,259129,646759,-1,-1,-1,-1,916965,-1,-1,-1,-1,-1,941562,949985,826043,-1,460653,-1,-1,-1,-1,-1,286964,-1,95694,-1,-1,387007,-1,157430,-1,-1,-1,-1,-1,-1,41671,572666,-1,-1,290957,719142,-1,-1,-1,-1,86918,46830,83627,453228,734096,-1,221187,-1,-1,-1,111785,-1,-1,-1,755342,511012,770407,37503,391682,-1,-1,313583,-1,-1,-1,-1,-1,815881,87365,-1,993862,822746,-1,-1,295620,338219,414477,646188,-1,-1,387308,316695,-1,725419,-1,136132,-1,817185,671338,946024,189568,-1,-1,417188,-1,-1,-1,709491,-1,9356,676000,579945,701575,573523,-1,-1,-1,-1,908637,-1,-1,79495,-1,-1,210227,541570,-1,-1,417989,649320,-1,716655,-1,254098,570077,633676,611599,392636,172790,651373,811663,332521,-1,-1,-1,421132,406607,-1,-1,327584,-1,522482,555383,-1,229632,231289,898394,14187,774454,-1,-1,-1,741437,907411,127629,374099,-1,-1,662546,-1,915924,-1,687838,808862,267802,908110,-1,856331,148650,976691,-1,-1,-1,160693,-1,682269,-1,-1,887655,-1,351177,-1,330680,251503,-1,767678,-1,307578,-1,429919,892823,-1,750290,802435,-1,697483,-1,-1,602125,558594,-1,-1,331563,-1,-1,-1,-1,320814,-1,966697,-1,-1,424569,-1,994207,710749,679287,-1,-1,89929,-1,597378,-1,-1,-1,-1,253394,912341,392817,-1,-1,728531,954039,277175,-1,-1,-1,-1,-1,-1,-1,-1,790301,503737,-1,58156,-1,781828,799710,-1,-1,-1,-1,968911,-1,257901,-1,970957,516588,-1,-1,-1,-1,774922,750588,406115,-1,245539,791338,499771,271813,-1,534581,-1,-1,-1,-1,-1,836475,-1,533382,568142,-1,-1,-1,909521,749942,-1,-1,-1,-1,-1,-1,25406,-1,109696,-1,-1,-1,-1,-1,-1,788743,373805,387925,-1,-1,410917,-1,345545,810207,-1,651987,536988,-1,-1,-1,-1,-1,-1,951397,-1,-1,472304,-1,-1,-1,-1,-1,501052,-1,110350,945628,-1,945618,-1,-1,-1,324942,593528,111089,574226,282498,-1,132910,809451,96841,-1,839951,396376,28698,451923,737363,-1,-1,-1,302637,-1,207250,930752,515890,495061,-1,-1,-1,-1,657610,706379,-1,623296,305046,413296,653469,689174,-1,261293,850435,372730,730299,-1,-1,-1,-1,280272,765450,-1,-1,-1,831011,128096,-1,44064,-1,-1,608651,-1,813509,316429,1872,244914,691106,-1,-1,-1,-1,712320,-1,-1,-1,-1,664532,814725,828789,-1,236721,709877,-1,-1,644194,748860,-1,627259,-1,771706,75342,548853,-1,-1,934461,195500,-1,-1,-1,997808,625803,-1,-1,-1,-1,661927,-1,532178,-1,656053,-1,-1,-1,494584,683582,-1,-1,747339,-1,761427,850366,-1,478314,-1,-1,-1,-1,179719,286236,314553,980581,772397,-1,206172,294050,790444,192821,-1,-1,804231,-1,178136,251940,242763,-1,328427,-1,157482,-1,-1,-1,-1,795529,-1,-1,124800,-1,751265,-1,-1,752624,237378,-1,-1,814569,766051,-1,-1,208315,-1,-1,-1,196581,904416,601934,-1,457122,-1,-1,-1,722715,-1,375672,240937,387430,-1,819575,947284,868976,-1,-1,844799,553181,-1,-1,362096,-1,394828,-1,619432,746697,496632,-1,-1,278940,879412,245967,569012,-1,-1,629548,45185,-1,881181,283446,972595,792470,846690,248313,39390,882086,-1,103323,-1,-1,929973,687747,248433,148337,-1,-1,-1,210020,-1,30726,-1,986201,-1,141245,179221,-1,-1,-1,-1,-1,-1,479215,189629,391867,54893,-1,-1,726374,925176,164,428404,376522,-1,21151,-1,983912,-1,679225,-1,509319,414814,59123,-1,-1,806756,-1,-1,-1,675666,-1,679485,39558,-1,266355,-1,-1,-1,-1,-1,-1,-1,-1,992912,-1,642661,-1,631783,-1,622406,958857,-1,531366,285593,421245,252359,550251,238743,175474,231213,176604,740500,168172,633081,413490,391965,-1,-1,-1,900745,-1,-1,856624,-1,105592,-1,482836,-1,379131,-1,-1,290694,301777,977377,578788,389073,382534,-1,963395,653286,-1,177065,-1,-1,-1,-1,-1,948279,15666,-1,719861,924170,-1,384715,-1,-1,33345,220323,-1,639771,230839,-1,540765,-1,699643,183054,370573,-1,-1,628733,-1,285378,742531,220119,-1,-1,-1,-1,343706,-1,-1,225389,59996,-1,-1,840516,-1,-1,-1,-1,-1,392327,-1,-1,-1,910732,330228,890999,-1,-1,-1,127747,-1,697387,878148,562331,-1,543142,801765,681982,138698,-1,-1,439931,817401,-1,274157,-1,882249,-1,986601,839146,937643,491691,-1,-1,-1,742250,791256,214695,938075,490047,507743,358603,978637,673698,685113,348793,-1,240857,-1,-1,493176,-1,99792,829738,-1,-1,-1,515769,-1,-1,979326,875895,-1,810586,328568,-1,996745,318545,-1,438395,-1,-1,685430,757440,-1,-1,327283,-1,203624,-1,152254,337596,-1,-1,-1,85614,667371,-1,313232,319723,665335,-1,69920,-1,176696,-1,-1,281436,-1,687472,-1,-1,312730,-1,-1,141347,-1,834473,-1,-1,604968,-1,469994,698989,276454,-1,-1,455620,-1,-1,-1,217110,738923,-1,-1,-1,81436,-1,989224,-1,897644,-1,242968,152728,517082,-1,777623,391351,694998,-1,619989,688731,-1,-1,411437,-1,65629,-1,860523,-1,-1,858375,-1,-1,310336,75030,406090,-1,907272,775318,517176,976110,933304,460002,274352,393232,754427,-1,374523,280400,438092,24295,-1,-1,-1,-1,514378,445329,770087,-1,-1,-1,827492,-1,-1,-1,-1,342553,-1,688761,-1,-1,300557,-1,-1,-1,-1,-1,208553,-1,984086,84498,775220,210400,-1,235475,-1,-1,-1,373631,-1,770457,347136,-1,-1,-1,-1,-1,789739,530593,73830,233468,-1,327428,-1,-1,305505,-1,-1,-1,-1,-1,128878,221924,-1,-1,-1,727509,781930,-1,-1,-1,667253,531124,637270,376186,892003,574350,-1,-1,67379,22068,-1,239539,-1,-1,-1,546997,11009,-1,78738,736200,700927,650424,-1,731947,501890,239096,-1,-1,342317,143703,-1,-1,640281,-1,910113,-1,-1,-1,-1,558632,251449,732371,624109,28329,703703,-1,222926,-1,-1,-1,447872,78702,558542,17685,791633,-1,3593,-1,955182,-1,848827,-1,65793,731553,949857,163349,401371,24262,750651,-1,311495,490679,-1,719890,999178,-1,939198,-1,-1,766327,11686,-1,658396,-1,-1,-1,491215,-1,139412,-1,-1,133289,607679,325082,-1,268127,622659,-1,637587,-1,477410,-1,-1,-1,332864,-1,694285,-1,-1,-1,-1,682453,93666,560887,245537,923084,-1,-1,-1,-1,662494,472043,-1,-1,-1,722558,195358,-1,-1,74075,-1,193456,-1,-1,-1,583502,615531,936279,-1,-1,688513,-1,921722,864862,610444,-1,-1,517479,-1,-1,640476,-1,532427,677725,406941,-1,317719,-1,76459,-1,143283,783506,723252,328735,498731,-1,-1,648384,455931,776976,877265,312459,33776,-1,301206,234371,137818,-1,-1,514569,132152,630669,-1,-1,-1,-1,-1,-1,800907,156592,520051,-1,254909,64598,751904,-1,278507,464260,221816,715136,131928,-1,-1,-1,798045,839046,-1,502907,666902,773717,-1,615422,606488,-1,164398,-1,579815,-1,834096,-1,-1,-1,-1,-1,646426,-1,-1,-1,692895,-1,856201,670995,-1,-1,62935,-1,-1,199176,905696,971754,-1,-1,878932,-1,607639,-1,390050,-1,715773,909124,-1,956844,-1,155013,47861,-1,550036,-1,612160,439508,-1,-1,761956,-1,615951,-1,-1,141491,310506,412065,654916,114622,634665,-1,-1,-1,-1,274161,-1,-1,-1,-1,-1,95000,-1,120790,-1,953179,-1,880894,942016,418613,625611,844927,-1,678229,-1,-1,120549,314589,-1,922719,635433,-1,725700,569641,813822,-1,387850,-1,-1,-1,-1,-1,-1,-1,853058,13888,705460,293123,-1,-1,776546,303127,997525,-1,809797,366011,71853,759566,688199,-1,-1,56006,899326,51086,-1,-1,-1,-1,-1,-1,447112,-1,-1,-1,632100,766390,6483,-1,85234,-1,292969,-1,95197,425342,-1,175293,948703,519292,-1,141803,902758,-1,311309,-1,-1,-1,83531,843966,940013,-1,654311,-1,415258,-1,-1,-1,-1,-1,-1,-1,42351,-1,721398,-1,-1,406017,104278,576579,686330,534727,-1,412989,56231,-1,-1,-1,-1,-1,-1,159368,-1,-1,-1,-1,192695,523953,585713,-1,326177,-1,-1,-1,477497,-1,-1,760001,810938,-1,938210,529533,428343,-1,439361,-1,-1,911071,-1,119177,862094,57748,737923,653872,294034,109698,774091,-1,-1,841920,-1,-1,296460,-1,450501,-1,-1,-1,-1,575696,451620,915193,-1,-1,-1,-1,-1,862215,-1,-1,301945,-1,-1,-1,839921,-1,-1,784120,797028,-1,320080,-1,-1,467447,-1,430082,-1,83744,-1,670962,920395,-1,125191,-1,246011,-1,-1,934500,-1,-1,466131,-1,99408,-1,-1,-1,225906,-1,-1,-1,-1,542345,982648,473516,-1,631613,-1,154128,-1,-1,621742,31299,-1,40049,675483,158218,-1,501240,976121,-1,973888,567812,-1,716978,-1,-1,-1,4457,874246,349458,964273,-1,-1,-1,-1,859381,-1,559525,522401,-1,673131,-1,511127,-1,-1,172043,456160,-1,819895,-1,-1,185270,933443,711859,620902,254837,123486,551231,262066,427906,-1,289545,-1,934497,-1,-1,-1,-1,286929,-1,-1,752286,-1,-1,229843,788305,-1,711378,413731,943692,-1,768731,116666,-1,269691,-1,58869,-1,567717,426958,-1,-1,-1,68896,301705,73068,838507,-1,-1,569747,80042,695956,-1,849189,840078,953147,-1,-1,860908,-1,580204,-1,725976,382859,-1,-1,607434,-1,194864,719180,-1,774825,-1,954686,365351,-1,723405,396797,-1,421143,-1,601710,4886,-1,-1,154878,-1,-1,-1,713817,359412,-1,-1,450504,-1,-1,-1,-1,267363,174563,943353,-1,-1,611960,-1,90131,-1,-1,-1,-1,288547,-1,-1,-1,-1,-1,841924,419098,-1,-1,-1,174068,-1,-1,105015,31478,-1,872532,105163,996172,927005,985272,809512,-1,722961,492580,-1,307450,663736,-1,85243,-1,-1,727025,-1,-1,812403,100398,984281,-1,857627,-1,499398,468252,393435,699531,-1,73469,-1,98086,570094,-1,723340,-1,-1,-1,955700,316693,899213,982575,596059,186025,357190,291493,-1,487423,720105,64669,552800,598052,-1,61447,451548,-1,683604,-1,-1,719297,772174,-1,-1,-1,691197,9299,-1,568386,-1,498961,58952,-1,-1,-1,-1,-1,-1,78740,-1,128708,-1,-1,-1,-1,80505,191827,525455,-1,-1,91113,-1,-1,367300,931624,881746,354735,259303,207399,909868,405287,652367,-1,962807,-1,-1,-1,630913,758897,477301,-1,53626,656461,-1,-1,-1,96956,-1,169401,-1,-1,753214,100140,882845,-1,-1,678137,-1,54301,486324,600480,-1,54302,928790,-1,-1,984786,-1,-1,113090,781133,854047,-1,-1,-1,556718,793878,-1,-1,-1,-1,524841,-1,-1,699339,811012,-1,-1,-1,-1,54532,-1,-1,619853,586801,692348,-1,-1,209123,124790,-1,-1,756210,801397,-1,-1,470478,66705,-1,935469,477008,4881,-1,607521,-1,-1,-1,-1,921310,-1,810889,784154,-1,-1,330538,711551,-1,-1,-1,-1,-1,-1,351087,905371,97617,316720,-1,-1,-1,-1,-1,-1,826868,-1,123493,71194,278120,-1,-1,553072,176490,-1,895838,-1,-1,-1,85413,-1,751660,-1,24590,-1,940407,-1,-1,208100,-1,-1,767107,663397,-1,-1,-1,-1,-1,-1,552319,-1,485865,-1,-1,887689,-1,-1,-1,-1,-1,-1,707741,-1,991513,-1,-1,239045,-1,-1,29680,294483,604494,-1,-1,805962,176452,-1,123152,-1,416268,-1,176663,725013,-1,-1,817005,-1,321259,-1,-1,-1,-1,-1,130841,-1,-1,-1,598373,-1,-1,-1,144155,-1,-1,-1,-1,-1,-1,145342,282709,103784,154166,651166,-1,-1,-1,674054,623335,634267,287757,-1,451011,521776,-1,-1,147567,988843,472018,242867,-1,-1,522919,15241,-1,648224,876146,-1,-1,719464,-1,923563,810970,-1,810321,329020,905085,457355,18907,-1,946698,-1,-1,540672,74525,-1,-1,-1,784851,468298,901702,-1,-1,915469,921097,422129,-1,-1,-1,-1,-1,523479,-1,65766,-1,-1,601635,486829,246620,-1,-1,113328,676579,601962,-1,356579,-1,-1,-1,-1,-1,632314,-1,552217,-1,653768,-1,738331,131671,-1,-1,-1,386739,-1,-1,445810,-1,218684,620547,609540,577887,673163,-1,-1,-1,-1,-1,513903,637922,764366,-1,804784,-1,-1,724121,616781,404410,-1,394482,118106,-1,-1,63441,-1,562029,-1,482947,977344,-1,825436,284697,426516,-1,-1,-1,748992,-1,-1,-1,237229,676556,-1,20891,-1,290303,657139,-1,613300,223002,-1,-1,268367,902024,-1,133192,877009,433571,-1,887244,708157,3478,-1,-1,-1,877289,785106,-1,834895,815218,190018,852361,-1,-1,690779,871370,-1,-1,-1,515820,-1,905247,45309,850014,-1,44031,-1,588046,-1,390606,-1,201069,-1,-1,-1,219253,248530,-1,-1,-1,-1,561938,439968,-1,598807,-1,17558,-1,608896,515843,612975,171157,-1,-1,-1,-1,894125,654785,811009,-1,137012,-1,867065,-1,-1,-1,936744,-1,71116,362284,-1,-1,-1,-1,729401,-1,814546,40617,16209,-1,309140,-1,-1,850467,200103,949562,356460,-1,-1,-1,-1,680057,-1,429455,738745,-1,-1,-1,733700,787960,-1,84981,636439,-1,316575,373879,323355,122762,515514,932809,-1,-1,-1,461031,-1,227177,648629,-1,389915,586037,625651,-1,-1,-1,662279,538927,-1,-1,298884,-1,89872,-1,-1,-1,-1,-1,160007,-1,-1,115066,-1,-1,250980,-1,-1,372194,-1,-1,259855,180856,447069,363036,132459,-1,962516,-1,-1,264072,382443,-1,-1,113959,902072,-1,-1,204857,-1,-1,-1,985385,16126,828598,303423,477197,-1,-1,-1,-1,387395,-1,605295,-1,783412,-1,-1,62945,-1,308302,-1,-1,831238,152681,-1,-1,995977,-1,891382,570908,462918,713091,923065,-1,-1,-1,-1,991277,-1,398894,-1,-1,-1,-1,-1,844933,511709,811825,207572,-1,-1,642590,-1,678560,342399,418062,-1,-1,282681,337683,-1,-1,-1,509343,-1,508659,-1,573417,-1,-1,-1,-1,-1,181934,33640,268278,291435,958813,491300,-1,124439,470473,-1,697076,-1,-1,161204,872371,60406,929358,297234,561100,227365,-1,-1,991079,-1,-1,45340,-1,238507,781943,747979,-1,-1,-1,-1,-1,253496,-1,90083,128172,-1,998150,-1,784605,21698,-1,-1,560835,-1,-1,815131,608862,-1,-1,720298,557829,-1,-1,884695,-1,533720,-1,-1,155914,48228,-1,-1,174904,892015,340202,747425,-1,636019,888021,987209,-1,213943,51347,-1,-1,227246,84396,-1,-1,-1,320037,-1,-1,-1,-1,711193,731220,735442,-1,160283,167289,-1,-1,250946,783415,-1,-1,49342,458848,-1,227396,8754,626747,-1,232814,-1,301755,-1,-1,-1,723938,-1,-1,-1,-1,-1,109149,825002,-1,-1,-1,-1,693078,-1,848209,324781,249591,-1,280413,-1,944163,374653,723176,34860,327478,-1,993934,-1,-1,185643,-1,787096,-1,-1,211362,-1,387059,-1,-1,904291,787451,75609,44717,-1,78817,-1,-1,-1,-1,752050,173221,67225,412158,679377,374296,-1,659146,-1,545008,636929,-1,903554,-1,-1,524686,387581,-1,-1,69864,63241,-1,582426,-1,231181,359974,-1,718630,-1,627787,317826,305451,708114,-1,-1,466855,-1,-1,-1,-1,-1,-1,-1,349393,-1,450681,749467,-1,-1,536862,231345,231190,-1,-1,597429,501432,273155,-1,162635,734961,21989,240842,866278,-1,-1,654151,-1,694748,689670,293051,-1,605395,27852,-1,-1,15667,700180,-1,230138,-1,-1,795095,210963,814526,633021,-1,74504,-1,160674,-1,-1,292056,756489,-1,128045,-1,938858,972809,845977,-1,556354,417356,855341,-1,392829,-1,944056,268817,593178,636848,961031,-1,625261,840275,-1,-1,689841,253757,-1,-1,745341,-1,-1,-1,980900,557272,591760,254385,143313,-1,-1,96657,774886,-1,61872,-1,331606,-1,641453,690492,-1,958371,543136,943437,-1,-1,-1,-1,955831,938166,507144,678717,-1,303837,247751,-1,-1,-1,-1,-1,152373,-1,256927,-1,256981,782832,892253,756020,-1,-1,726858,912257,-1,-1,280450,909199,93402,-1,-1,116412,-1,251987,351263,-1,638244,-1,-1,-1,-1,-1,-1,168630,688765,-1,-1,-1,-1,223668,-1,810481,-1,23408,-1,-1,-1,-1,937170,-1,-1,-1,-1,374667,-1,520794,897122,789674,63402,-1,730146,-1,-1,970976,203878,457284,482382,-1,324472,-1,942354,-1,-1,429422,-1,-1,-1,-1,165297,785813,338605,-1,-1,281050,-1,-1,329588,928018,725388,-1,160595,-1,758371,842466,-1,295500,-1,452287,-1,988006,-1,496784,-1,89261,-1,100641,-1,147615,254962,90952,39722,-1,991285,980365,-1,-1,785749,264402,505456,-1,-1,-1,-1,-1,861315,-1,647557,429431,257782,-1,426150,553367,-1,817162,104073,-1,-1,838503,-1,-1,-1,-1,-1,82785,-1,18188,337121,-1,548503,484620,-1,823831,-1,-1,412750,-1,141336,656785,-1,-1,968226,-1,727945,230124,547008,-1,868969,-1,972519,749700,310811,-1,386373,-1,-1,-1,955092,-1,719998,384519,443299,-1,683702,-1,852083,-1,871178,-1,193745,957400,-1,-1,169113,522711,-1,-1,-1,-1,634989,869154,-1,416172,560529,-1,-1,96552,6822,-1,-1,-1,326807,-1,894115,-1,43905,-1,722278,-1,-1,400084,865766,685356,-1,799417,296273,251396,-1,-1,250736,-1,-1,466741,394889,-1,-1,900361,162792,-1,16762,987630,369936,-1,838477,551522,9527,360302,789854,-1,-1,96553,776496,691243,-1,-1,-1,726421,-1,-1,309796,-1,-1,-1,-1,644496,-1,-1,863041,243450,261147,-1,497259,925961,946961,379469,472613,-1,-1,-1,-1,480380,-1,-1,745088,423731,-1,-1,921999,-1,227021,257518,951035,872395,431081,26464,-1,792635,-1,-1,356100,-1,-1,977657,834350,-1,311161,-1,-1,775620,-1,81934,295386,739868,-1,-1,258183,744818,109918,216382,724325,-1,-1,76920,439707,589355,224233,-1,-1,714726,966089,-1,722781,632345,52965,-1,821616,-1,-1,787213,339973,-1,-1,817311,730116,-1,441893,-1,-1,-1,-1,871506,473678,784159,-1,-1,-1,-1,931203,728092,720829,632479,-1,-1,280686,-1,752471,652687,-1,-1,376946,949753,-1,128913,-1,715847,-1,-1,730979,-1,-1,-1,-1,-1,-1,-1,-1,941518,-1,-1,-1,323455,884493,891064,-1,861020,-1,525345,483268,-1,828151,-1,196214,-1,471569,280935,-1,-1,471977,270461,-1,759254,-1,201892,715073,554874,-1,-1,-1,-1,697395,-1,623373,20466,-1,-1,424723,929131,521131,-1,-1,-1,612573,14952,522849,-1,108074,-1,-1,-1,952528,739795,-1,-1,537820,-1,-1,-1,391481,862179,443064,896198,76336,-1,-1,948474,-1,-1,803730,-1,558025,500069,-1,837716,295246,529954,-1,-1,-1,-1,-1,-1,443057,56428,-1,61905,265318,435139,637697,781730,-1,-1,-1,-1,-1,133174,178072,-1,-1,417293,-1,-1,-1,443036,-1,-1,-1,-1,971743,-1,-1,-1,585846,-1,347227,-1,-1,952981,-1,899937,-1,277830,-1,652329,148618,803073,-1,-1,-1,-1,405302,-1,-1,712984,126436,-1,-1,436197,-1,540169,772756,210924,-1,-1,65289,619803,307974,549966,514219,449010,242025,-1,472369,-1,383001,170394,465782,-1,-1,388476,100307,-1,-1,-1,-1,89915,339765,406010,277874,-1,-1,-1,273009,-1,155615,161275,540149,-1,-1,-1,-1,-1,255697,-1,-1,-1,-1,820881,960495,527657,-1,560417,-1,580795,-1,-1,805418,434167,-1,-1,-1,171842,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,622763,278084,427880,463877,-1,181420,-1,478277,-1,-1,-1,485647,-1,579753,84305,-1,972581,-1,-1,924928,179629,-1,115671,-1,418945,-1,-1,621301,476591,-1,754713,903639,-1,-1,650476,-1,173322,-1,231233,-1,-1,-1,571988,830295,-1,108879,936233,-1,434134,474599,-1,-1,663177,441247,536531,-1,-1,554710,543697,853911,-1,-1,594969,394042,533357,-1,591015,588329,-1,174135,-1,-1,-1,-1,-1,-1,36113,-1,826865,824126,972587,557124,186960,824446,-1,517103,248525,-1,-1,-1,-1,-1,383907,-1,230328,414834,-1,-1,177221,106507,-1,-1,460226,252556,-1,529823,341291,-1,912731,-1,-1,-1,945880,753792,-1,-1,364607,-1,-1,-1,77041,-1,74245,-1,398892,719510,-1,-1,-1,195593,-1,844929,-1,760079,-1,106705,889124,-1,888044,974222,-1,-1,-1,944997,194219,611303,-1,-1,844762,335257,-1,882600,-1,723228,181816,817058,-1,-1,2581,150655,-1,367340,-1,-1,-1,418411,842046,430997,199376,-1,-1,-1,-1,-1,-1,-1,-1,3087,891293,881561,346057,714410,572031,116565,369607,-1,778884,-1,971484,-1,501705,169753,-1,443820,739907,-1,-1,-1,-1,636411,686185,-1,-1,162711,143900,93346,-1,-1,745027,-1,377670,-1,-1,573552,-1,-1,-1,-1,-1,296318,944556,346966,-1,-1,709629,-1,-1,744352,-1,322188,546403,-1,989626,516777,-1,67854,295407,401187,882357,225802,5234,802477,474657,653130,-1,-1,169433,-1,-1,-1,-1,-1,-1,603275,602123,-1,877525,472355,-1,-1,-1,-1,-1,-1,-1,-1,-1,964492,-1,311729,-1,254289,-1,-1,972009,-1,-1,-1,-1,-1,-1,-1,956930,-1,-1,-1,204789,852305,285574,621101,-1,601030,-1,-1,266500,-1,273558,765696,515680,-1,809879,-1,-1,825260,-1,-1,294714,-1,-1,-1,799341,714560,-1,-1,-1,297238,-1,-1,746740,208956,831550,-1,75081,-1,251262,-1,365239,-1,379099,834271,-1,-1,850649,-1,405715,-1,572166,-1,-1,-1,651254,-1,-1,-1,-1,-1,544300,230607,497774,-1,288450,-1,653025,-1,-1,421593,977966,-1,-1,845394,-1,260738,-1,-1,-1,646452,-1,-1,335492,979764,812018,116911,-1,619474,-1,802606,431264,-1,-1,-1,738963,776737,526245,955596,668338,-1,113879,908434,964934,-1,315138,-1,-1,878378,922380,-1,-1,304963,-1,262944,592169,-1,141597,-1,939164,648900,410217,-1,-1,-1,749723,844771,167952,245507,-1,264918,82547,-1,168519,880258,70086,442951,935496,-1,-1,348376,-1,-1,979614,781510,-1,-1,-1,-1,-1,603386,-1,549865,327571,911991,530968,656122,-1,6140,715614,-1,-1,-1,436353,-1,439199,-1,844356,169325,737788,383647,-1,935521,45461,73621,341095,923302,588864,-1,320653,-1,-1,-1,-1,619525,-1,-1,-1,-1,219500,601770,826231,603010,-1,799619,487347,160907,554050,-1,-1,-1,-1,-1,-1,-1,663881,-1,-1,-1,723339,451000,992724,-1,187931,-1,758774,-1,-1,310610,-1,325847,-1,-1,-1,-1,444705,839711,316312,-1,-1,536684,358347,-1,-1,106879,992976,-1,-1,658809,267743,-1,-1,-1,-1,-1,-1,771491,128737,-1,902266,462355,-1,-1,-1,491156,110469,951909,364558,-1,-1,-1,77643,519403,641591,508999,-1,15998,334694,-1,99850,857823,650732,-1,-1,-1,362147,-1,-1,-1,550037,-1,445089,-1,-1,-1,-1,-1,834270,-1,671429,361229,797240,753550,729595,-1,729526,-1,503740,-1,-1,687723,345742,254510,-1,-1,334451,-1,-1,-1,-1,96764,-1,-1,566269,386807,-1,346159,576691,311980,-1,189659,-1,556878,811239,-1,-1,-1,37091,-1,-1,-1,-1,55457,-1,-1,-1,-1,-1,-1,52469,140700,-1,-1,696949,45543,42725,854117,-1,240101,69851,228198,668893,921568,707553,588155,-1,770386,112377,-1,-1,-1,-1,920523,397782,-1,-1,55136,110817,-1,681490,-1,292208,-1,-1,307409,-1,475851,-1,-1,-1,596076,-1,-1,819086,560140,522683,-1,579796,125873,882813,596632,707544,59279,-1,935421,-1,-1,687538,-1,-1,825336,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,841390,118478,943004,108537,913216,-1,622640,150458,-1,-1,329024,-1,-1,746885,894158,-1,802727,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,714677,-1,-1,-1,747368,853342,223465,-1,-1,66638,974173,78829,-1,-1,-1,359431,604315,988314,407026,-1,231099,851231,969336,-1,-1,935166,-1,-1,990221,476807,-1,596281,920626,-1,968223,263233,-1,472552,-1,-1,598260,-1,-1,439400,225629,-1,-1,-1,910370,898912,-1,-1,414016,671979,555105,-1,145991,-1,968271,819003,168178,862142,751594,-1,-1,-1,122368,-1,-1,-1,-1,-1,-1,-1,-1,-1,611023,787689,-1,-1,903694,-1,-1,-1,-1,-1,-1,887850,-1,886626,-1,-1,610600,-1,-1,773091,93119,-1,904417,-1,-1,-1,406155,978044,-1,-1,-1,-1,-1,374679,-1,-1,781778,-1,-1,-1,-1,-1,-1,-1,-1,-1,380656,29636,-1,-1,-1,-1,-1,-1,983426,663282,427643,-1,-1,92887,-1,-1,672681,-1,657072,-1,-1,301134,796433,678046,991530,180395,467718,-1,913754,38894,-1,-1,-1,304006,-1,484731,776305,-1,528515,-1,834879,749304,5063,356853,-1,-1,-1,654361,288072,193449,-1,621300,969677,170788,113843,215581,-1,800984,-1,-1,513049,-1,-1,823726,101805,857710,-1,4100,-1,-1,878825,713938,990488,-1,283992,638399,-1,818894,-1,-1,-1,-1,464429,517389,534203,-1,-1,-1,-1,698378,464492,-1,-1,371356,469556,992854,789358,586307,877221,-1,-1,352439,15153,907205,-1,-1,996855,-1,-1,-1,331900,-1,-1,127854,-1,294236,-1,702612,926032,932422,-1,-1,473135,400504,21090,-1,482946,492095,184775,187212,514483,163215,681937,349516,433181,-1,-1,-1,541613,914048,-1,908703,-1,-1,-1,-1,208010,393446,246798,-1,928050,-1,-1,900641,-1,26900,-1,-1,-1,-1,-1,373437,-1,-1,977049,802374,521548,42105,-1,-1,-1,-1,180126,-1,-1,-1,-1,566755,-1,-1,-1,-1,-1,-1,293200,-1,874116,963234,935945,-1,435342,37527,-1,979347,-1,792673,-1,-1,-1,327899,-1,-1,-1,-1,-1,-1,-1,102570,-1,-1,-1,-1,-1,708586,717325,-1,454027,-1,-1,-1,43833,-1,266734,-1,-1,877197,92020,860119,-1,596504,-1,356321,748672,422142,-1,-1,-1,-1,-1,-1,809536,37278,-1,-1,860815,66559,766499,847953,379410,-1,681874,568810,-1,-1,365818,711390,-1,802586,365595,156186,39547,552234,356485,420109,-1,-1,84563,-1,-1,-1,37930,-1,947304,-1,-1,-1,640582,-1,-1,609815,-1,-1,-1,-1,721807,-1,327621,-1,709091,61899,638227,-1,430077,719133,-1,-1,-1,-1,-1,-1,-1,274588,408021,261214,93285,550471,192398,436741,-1,368907,-1,558002,-1,-1,990919,-1,254218,-1,-1,-1,-1,-1,-1,715752,-1,785088,-1,859728,102050,749032,-1,-1,-1,706045,961394,270486,288049,-1,827974,-1,-1,-1,488473,-1,874867,-1,977518,-1,534114,470445,439091,870326,-1,-1,295087,98270,-1,-1,-1,-1,208287,666514,485750,218774,-1,239190,-1,431810,420484,159190,49428,29173,288165,699821,-1,407470,37521,-1,405900,-1,-1,-1,225963,-1,-1,194606,385108,-1,616737,17113,-1,-1,-1,-1,-1,51789,11012,166003,397364,769899,938533,-1,-1,-1,46046,114418,471957,-1,-1,-1,83475,-1,528233,703898,-1,830899,-1,987830,-1,329997,707207,84409,435876,-1,37297,-1,-1,-1,-1,-1,-1,-1,-1,-1,959740,-1,224229,-1,700814,91430,710244,56966,448243,-1,491112,919637,-1,-1,-1,-1,-1,-1,918320,-1,-1,-1,-1,-1,346480,-1,580686,516232,-1,494940,-1,-1,200158,662196,-1,-1,957421,419605,-1,677672,-1,-1,263356,521962,730248,563876,-1,203588,540529,-1,803708,-1,652108,-1,920439,183966,-1,328010,763855,-1,-1,236036,176610,-1,-1,502866,205232,85414,-1,53216,319757,457501,-1,-1,313612,599073,710938,-1,-1,-1,385245,247389,-1,-1,-1,859364,-1,-1,515649,180392,-1,-1,-1,-1,623935,167870,-1,206109,-1,181461,-1,-1,310936,-1,-1,-1,-1,736344,-1,-1,-1,947850,-1,762874,-1,936368,-1,110361,506812,-1,-1,-1,-1,-1,-1,-1,654535,-1,-1,-1,-1,-1,-1,330558,573656,252111,-1,167630,-1,466128,-1,679806,-1,864894,-1,-1,-1,-1,-1,-1,680333,-1,-1,-1,411625,-1,453700,38631,239932,552844,348848,-1,-1,-1,141281,51702,438419,698426,990360,-1,211735,862670,689069,262162,-1,570795,-1,-1,-1,-1,-1,-1,-1,948964,458184,503068,9293,242372,-1,-1,-1,556958,818350,753278,-1,-1,184147,976060,891074,897599,-1,-1,423082,-1,689577,-1,-1,-1,-1,-1,-1,-1,-1,580287,-1,92075,27487,-1,-1,-1,137678,355884,653263,768854,-1,-1,-1,629359,84019,-1,-1,-1,630673,-1,841991,815678,-1,910368,307608,-1,463855,568574,-1,-1,643203,937631,-1,-1,991058,887853,-1,-1,-1,-1,171174,-1,-1,-1,692117,-1,-1,741757,-1,-1,-1,772277,336206,-1,-1,152519,-1,-1,165248,-1,-1,939280,562609,-1,-1,301128,-1,508347,-1,-1,722400,38181,-1,-1,-1,-1,-1,473023,889179,446539,361941,48406,871322,-1,-1,175480,410383,136869,-1,421081,-1,526789,-1,171681,-1,291468,155636,107850,-1,-1,-1,997223,-1,-1,-1,-1,188758,356222,-1,-1,-1,973568,958875,-1,960702,-1,339594,885004,272286,636209,-1,350470,-1,-1,-1,-1,169765,-1,-1,987254,-1,43949,-1,488419,179683,637248,902225,40222,-1,-1,348319,77840,445237,-1,-1,-1,325424,322181,670390,594321,506422,-1,-1,-1,-1,413003,-1,982422,-1,-1,-1,-1,-1,461670,-1,163181,-1,-1,593994,138212,-1,-1,-1,119890,563099,-1,-1,549307,-1,-1,171996,645740,-1,-1,-1,268298,821468,52614,-1,-1,732508,224399,-1,185924,-1,684276,528685,617028,-1,-1,485807,-1,-1,-1,931267,496413,-1,860348,872685,724268,-1,862527,172558,-1,986998,883975,-1,-1,-1,-1,-1,-1,11299,-1,599445,-1,-1,729832,753310,-1,-1,795318,-1,204610,975056,642820,2773,946367,261484,-1,891675,-1,-1,-1,-1,31604,661415,-1,-1,-1,-1,-1,-1,111599,312594,943814,349181,-1,555310,-1,180416,437914,-1,257621,-1,-1,394730,-1,94675,663765,-1,-1,878999,-1,-1,-1,751511,-1,419546,-1,10709,472707,852056,-1,-1,434427,-1,567749,-1,-1,459919,-1,-1,788962,-1,930628,542858,-1,58258,333890,922675,-1,-1,-1,473003,42460,525659,437629,87085,-1,-1,-1,-1,-1,955850,782761,-1,224150,803842,453817,13532,-1,-1,758466,453385,-1,-1,213128,369808,154781,788562,-1,433098,-1,578986,71776,-1,944727,39187,-1,-1,-1,649657,-1,508918,798838,-1,-1,422640,-1,-1,-1,276183,-1,675936,651027,432385,-1,354755,-1,-1,-1,-1,-1,-1,141069,325371,-1,292996,-1,-1,78282,-1,470901,572146,264153,178294,-1,-1,-1,-1,-1,-1,-1,895846,-1,567854,-1,-1,731362,-1,-1,850894,-1,-1,571137,490699,-1,-1,729246,-1,426531,552596,875843,389139,965373,482687,937165,-1,-1,308985,922051,-1,733127,681793,614898,-1,-1,270080,970434,526809,-1,-1,-1,923696,992625,600956,-1,428391,-1,293199,-1,953870,-1,-1,-1,748648,72000,543589,-1,-1,-1,-1,-1,859435,-1,-1,-1,-1,-1,-1,570391,785495,-1,-1,-1,49102,-1,900397,489115,-1,-1,-1,570028,-1,-1,164684,-1,333789,-1,-1,12064,-1,787978,-1,-1,-1,217127,-1,-1,-1,-1,-1,-1,-1,-1,192062,314413,-1,55752,-1,-1,-1,-1,513548,320805,-1,371116,-1,-1,-1,147726,-1,-1,-1,-1,-1,-1,-1,744802,-1,-1,-1,-1,516046,876937,-1,-1,-1,-1,-1,-1,-1,734830,-1,-1,-1,-1,663416,254428,-1,-1,-1,762117,-1,300586,594499,954779,851154,657615,221922,-1,-1,601759,-1,899606,611296,-1,467180,-1,164363,-1,566059,799285,461352,846829,-1,-1,587774,-1,-1,-1,-1,628080,735467,-1,-1,732628,800707,386607,-1,-1,293209,275605,995954,-1,-1,847455,-1,950428,530008,-1,-1,-1,-1,-1,-1,913953,-1,-1,-1,375872,-1,878372,496547,-1,185338,-1,-1,-1,392304,189950,746094,836151,249104,-1,577724,707030,-1,897430,-1,137364,961000,-1,-1,-1,929255,-1,7396,14376,968827,446008,83527,771561,955601,-1,-1,-1,-1,-1,-1,67866,475164,884044,760152,-1,-1,-1,702862,-1,-1,-1,49800,400527,-1,929382,639438,378419,153081,-1,66149,-1,173685,924020,747622,-1,-1,-1,-1,-1,794832,132816,108371,188308,608528,679638,-1,289804,-1,255504,601424,-1,484838,862760,-1,156287,-1,-1,978303,88035,-1,-1,914934,488192,457508,-1,744470,389883,153030,-1,32772,392659,-1,-1,116050,-1,-1,319802,-1,415257,-1,-1,-1,250373,-1,748032,-1,9075,-1,-1,-1,-1,933488,-1,-1,578973,318485,-1,-1,-1,454821,-1,-1,71264,-1,-1,176502,366354,-1,119152,461373,-1,-1,-1,-1,-1,-1,336616,703275,-1,792693,893119,175669,-1,727688,281039,-1,137586,134415,688872,-1,-1,-1,149001,945270,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,844080,593085,719768,-1,611887,196879,243908,73748,170109,165726,-1,-1,280184,-1,965488,966216,452596,627985,229380,5762,-1,-1,-1,-1,814225,409662,236814,-1,-1,-1,110442,-1,-1,558555,-1,-1,-1,-1,-1,888000,854171,146422,769787,-1,906301,-1,686746,-1,-1,-1,-1,408219,388906,934024,-1,169448,396604,334080,-1,-1,367750,410426,-1,-1,-1,-1,-1,-1,471854,793708,-1,-1,474298,597411,789806,-1,746966,315905,91268,977387,773183,203759,-1,-1,-1,-1,-1,101029,623958,991982,637355,426141,-1,321605,819234,-1,-1,556659,-1,-1,165629,558534,871562,562550,-1,-1,624567,754167,-1,695932,-1,-1,-1,471428,-1,-1,307607,493320,-1,-1,-1,-1,946632,840389,-1,-1,925874,-1,-1,-1,-1,748281,302706,740760,699385,-1,198899,680311,-1,66460,-1,-1,-1,-1,-1,161506,582145,338632,-1,-1,111235,327835,687917,936351,-1,15398,-1,695994,-1,876755,444402,62668,887343,577929,-1,855309,-1,-1,730650,485115,-1,-1,-1,-1,811558,731831,627883,496047,190001,-1,138539,731991,-1,646649,120657,-1,-1,790706,266558,-1,163264,-1,121858,-1,-1,145071,577090,-1,-1,545355,-1,-1,-1,-1,-1,-1,286338,-1,-1,-1,-1,590361,294940,-1,536646,-1,19699,-1,-1,83513,-1,-1,885305,-1,-1,954984,-1,-1,-1,276251,-1,434894,-1,677611,687521,160710,404256,814070,317188,886348,-1,-1,493231,-1,-1,-1,-1,-1,899091,256712,-1,598116,-1,-1,-1,-1,229412,-1,-1,466534,409307,-1,692792,-1,-1,805538,-1,-1,-1,-1,-1,-1,866021,-1,693139,-1,-1,-1,602226,879478,109620,-1,-1,-1,379579,-1,198550,-1,-1,-1,-1,928300,-1,-1,613424,-1,192573,73456,197582,943963,868297,-1,669896,518941,760221,3762,26263,-1,-1,467407,-1,678322,-1,-1,-1,-1,-1,676186,489008,-1,-1,-1,417590,-1,304981,-1,-1,317549,-1,935750,-1,606544,-1,-1,306617,575959,-1,141962,-1,385845,-1,-1,55792,-1,-1,-1,-1,884412,-1,662395,-1,-1,-1,840104,373419,-1,812813,-1,-1,-1,-1,-1,486822,-1,450421,362771,-1,305191,739951,-1,927564,-1,660633,-1,448414,261045,789950,559978,-1,-1,775181,-1,-1,-1,-1,-1,351217,-1,-1,-1,-1,-1,-1,688108,216614,-1,290816,-1,-1,145278,299423,914553,-1,712110,-1,107716,-1,-1,390241,253306,-1,748048,-1,997901,-1,-1,663354,-1,-1,-1,-1,310780,-1,-1,-1,359967,-1,180714,608430,992487,-1,-1,301241,876181,801099,-1,935500,-1,54756,-1,-1,-1,-1,67045,-1,250512,-1,-1,-1,524300,-1,-1,487987,-1,590764,559973,-1,890979,-1,516448,168386,-1,-1,449195,701373,759909,-1,-1,846901,991537,-1,-1,777163,168317,64765,-1,-1,-1,404414,-1,-1,787563,-1,692280,768894,-1,-1,-1,-1,46279,-1,3711,-1,747844,877437,277336,138957,843493,-1,-1,-1,302708,333626,72938,-1,356418,846722,408295,-1,-1,-1,956182,-1,-1,49456,-1,240488,-1,-1,278589,-1,-1,953710,-1,790714,-1,-1,-1,275895,406403,746902,489724,346319,-1,-1,-1,838833,112789,-1,739740,-1,169845,449433,-1,598418,-1,750580,676349,949437,-1,-1,-1,-1,11267,-1,141896,673648,43728,-1,-1,-1,660461,585529,573129,233827,-1,-1,-1,-1,517213,729934,814702,182218,-1,693403,-1,429418,178604,530830,-1,658586,121008,-1,423933,-1,-1,975913,886527,792845,512875,202394,-1,394916,812075,-1,-1,671549,815912,-1,-1,-1,847750,-1,779987,118641,364942,-1,-1,385653,356453,694087,-1,-1,-1,927294,-1,482988,726206,-1,-1,-1,-1,-1,411295,-1,-1,-1,-1,609660,-1,783599,-1,553714,188585,189872,-1,-1,903174,-1,100437,613620,-1,182836,747529,-1,-1,-1,171847,412293,-1,994680,-1,-1,227940,-1,879730,-1,-1,-1,-1,-1,-1,955740,-1,-1,-1,-1,-1,792621,-1,290736,290592,-1,604431,-1,519685,-1,382537,539975,768592,-1,-1,404997,265128,184122,859899,69403,156683,626712,-1,-1,874721,171730,428131,395888,-1,271471,-1,-1,977331,602338,85970,357516,596952,949695,809073,999327,-1,929548,427931,364694,-1,-1,138546,-1,-1,870415,128014,930191,-1,-1,-1,428107,-1,801113,189052,-1,-1,867563,683089,-1,893506,114961,-1,-1,-1,191205,980554,-1,-1,-1,305229,-1,932307,-1,680128,559342,601249,-1,814494,754882,365960,-1,966276,-1,-1,180815,-1,-1,851059,458288,300861,527278,-1,964503,117533,643088,106743,700822,-1,515311,-1,121818,-1,778934,269925,47665,688783,261335,-1,863991,-1,-1,-1,575326,-1,-1,741890,295670,-1,411946,-1,-1,-1,-1,-1,217967,-1,473214,-1,-1,-1,731693,-1,-1,477307,-1,723521,436626,-1,-1,-1,723982,895281,773700,443616,-1,594920,-1,459517,-1,-1,291602,-1,-1,516527,129261,-1,-1,-1,352188,71828,579552,-1,-1,-1,-1,88653,-1,580805,-1,-1,-1,-1,-1,515432,-1,224405,-1,-1,-1,221162,-1,450758,-1,-1,-1,-1,-1,-1,225330,-1,-1,-1,915508,-1,116685,-1,-1,-1,870925,904357,-1,-1,-1,139912,-1,-1,339428,-1,15133,-1,-1,934304,-1,-1,384318,-1,559649,236201,891133,197464,-1,30414,607514,961820,-1,856107,557062,255809,-1,-1,-1,-1,-1,826787,-1,199307,44401,271605,-1,-1,-1,-1,17251,668043,-1,-1,971375,968709,851010,471422,-1,-1,705892,576964,-1,672811,-1,438472,636112,325201,578079,-1,668688,-1,-1,-1,-1,-1,908810,-1,-1,944938,-1,-1,-1,17890,-1,-1,488814,-1,-1,-1,915062,152833,517671,-1,-1,-1,208997,202884,241,819179,-1,-1,-1,881620,585679,257593,667411,-1,-1,-1,-1,-1,733581,4388,386750,924968,-1,-1,943589,297150,-1,703578,-1,-1,-1,-1,-1,890490,-1,-1,-1,-1,-1,3418,571758,-1,-1,-1,872052,-1,-1,-1,-1,252844,-1,5450,-1,477493,-1,921884,425545,191728,-1,622990,-1,-1,-1,-1,-1,884336,722686,597734,278127,-1,-1,735332,-1,-1,-1,893555,316570,372355,843635,576749,290803,848021,-1,610944,742249,-1,791250,-1,646226,-1,785750,886149,-1,617537,-1,-1,570593,-1,-1,824509,-1,61040,662374,-1,136085,141854,-1,231538,-1,-1,503264,-1,-1,747877,-1,49266,-1,-1,-1,846235,578804,690283,197183,-1,-1,616862,335540,136693,649668,943873,-1,-1,-1,396219,-1,234705,-1,-1,-1,946671,-1,326916,513943,537458,-1,-1,962904,607888,416336,-1,155504,542932,217509,-1,421435,-1,517418,-1,-1,144356,327365,814208,905064,767583,549830,-1,-1,-1,494233,-1,901274,-1,386182,860043,-1,-1,-1,450845,695922,-1,867743,522009,-1,582911,846958,2976,212122,-1,-1,293741,10900,-1,849918,-1,265492,859429,-1,-1,558557,-1,-1,124528,706702,621178,-1,2671,266514,-1,-1,6418,268878,-1,-1,543200,-1,410565,711501,290812,-1,998726,540048,142879,-1,560107,-1,467820,-1,-1,152139,597426,-1,-1,-1,-1,-1,690225,262292,-1,-1,703485,791114,-1,374542,-1,524566,44074,821149,-1,-1,-1,-1,684870,385252,445416,-1,956032,554814,-1,-1,237970,-1,318347,304705,81262,-1,299391,-1,139530,-1,-1,-1,-1,-1,-1,-1,-1,69509,908642,-1,583653,-1,-1,704544,271824,-1,990216,478420,230081,-1,-1,-1,342682,489688,686006,975168,135284,-1,138693,530634,-1,-1,-1,-1,560446,-1,574678,884557,-1,465718,-1,670214,-1,-1,-1,-1,340213,-1,179752,-1,139622,-1,504060,380509,-1,655992,-1,-1,331407,785882,-1,-1,-1,-1,-1,-1,320956,195213,808282,354792,-1,-1,976025,532334,971240,-1,-1,-1,263595,151454,432405,890809,-1,579835,229985,286898,-1,-1,697750,-1,-1,497949,820302,-1,-1,-1,617673,-1,-1,114842,-1,238090,69443,-1,340032,987450,-1,-1,-1,702295,556738,-1,-1,79001,537225,678482,-1,-1,997053,-1,-1,347878,351230,-1,-1,-1,823060,293624,-1,-1,32269,717150,-1,619511,-1,477689,809486,580773,-1,-1,173889,-1,103807,646565,491233,374817,208659,56116,-1,-1,-1,933854,708206,-1,886071,370662,583272,398591,-1,480176,-1,790514,-1,-1,-1,669194,317686,-1,277956,-1,-1,-1,-1,-1,-1,-1,-1,-1,143705,-1,-1,-1,-1,-1,-1,957275,750277,135094,831783,719965,-1,799673,-1,9983,209729,-1,-1,495338,-1,406927,-1,-1,-1,-1,365574,-1,-1,242460,-1,101889,70783,-1,-1,-1,416434,921071,-1,666559,130907,771445,179993,-1,-1,692439,207145,-1,503244,467902,590516,-1,648914,-1,106027,346813,-1,-1,926684,466634,357783,770037,-1,732245,-1,-1,-1,520566,-1,539089,-1,391259,-1,-1,-1,-1,-1,-1,542036,548615,-1,937943,-1,434465,580992,-1,766565,-1,165436,268522,150294,106314,-1,-1,814210,-1,290906,924236,358290,202033,-1,679670,-1,712286,-1,481541,-1,-1,-1,-1,-1,-1,960599,216533,-1,206200,76271,-1,776527,230998,-1,764386,553891,-1,990843,860035,-1,36528,754459,959860,-1,550231,256626,413162,158704,128350,945540,-1,-1,7406,-1,-1,-1,645058,870487,612052,-1,-1,-1,-1,-1,372230,618133,569246,800541,421197,-1,341800,-1,-1,954774,-1,-1,839700,929304,37719,236442,16340,-1,-1,-1,164435,195032,347709,60360,276504,275037,607004,-1,809312,87592,-1,-1,196691,158525,783315,-1,692871,-1,908715,25130,-1,122354,329908,-1,136481,372343,-1,535865,-1,-1,333892,566008,-1,936559,309713,810826,36776,-1,-1,46274,814951,-1,468894,626378,952338,-1,276049,-1,-1,-1,858557,-1,532079,824697,203086,-1,-1,778123,362612,191600,-1,333221,552659,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,140060,-1,955244,543894,-1,-1,-1,615156,150902,930000,-1,200570,465145,152321,405976,121155,521308,-1,-1,883163,432232,-1,-1,-1,616245,185702,-1,238699,-1,100352,-1,524944,-1,625879,211079,635037,-1,74068,-1,-1,-1,174690,111166,750772,29079,607386,-1,-1,469802,-1,-1,537755,-1,-1,-1,-1,-1,434925,-1,147226,-1,-1,617018,-1,83013,-1,-1,-1,-1,829635,255263,231170,-1,415406,-1,158954,-1,729829,-1,-1,460794,171327,294567,666506,-1,246682,210196,-1,-1,517217,-1,207682,761802,-1,284217,-1,718450,31218,213384,725327,190207,12883,-1,-1,67600,912127,-1,76095,-1,163502,342945,-1,204730,934370,858333,-1,489786,-1,396401,-1,174146,300843,385713,700202,-1,317181,-1,-1,559637,879945,149561,839746,-1,583389,807455,962018,261507,-1,221091,-1,770603,827688,962125,841783,-1,359539,881028,-1,-1,-1,-1,507322,637378,-1,890914,368835,503843,683722,417090,-1,-1,-1,981205,-1,759838,406106,-1,-1,-1,756951,134507,-1,359710,-1,-1,63038,837225,989213,-1,-1,541787,768999,-1,-1,652457,-1,47581,-1,-1,-1,-1,289048,-1,642337,660070,639300,-1,-1,442451,211599,250594,-1,552100,689893,-1,-1,635312,557315,-1,-1,956503,988654,-1,-1,-1,-1,212642,-1,-1,-1,67127,346646,893248,-1,98970,-1,-1,-1,423104,277734,197761,-1,-1,590768,-1,-1,631388,352927,538314,726121,209780,-1,-1,-1,111738,445943,-1,-1,439913,-1,848006,957335,593505,225016,553402,-1,339368,834514,-1,816340,-1,-1,756648,-1,830109,400472,261861,-1,745779,-1,139744,424920,728401,-1,499950,245265,-1,273217,370628,-1,111076,-1,869365,345757,38992,-1,579256,-1,-1,-1,812443,-1,573098,344624,585504,-1,155172,389125,516505,781529,523137,892860,489394,447274,782554,-1,915282,420947,146511,10319,-1,-1,-1,917613,118476,-1,732670,-1,516078,714608,577705,783226,-1,209665,902205,472319,-1,494271,-1,-1,-1,685597,-1,602190,844776,847029,145030,-1,962723,406842,214012,786733,-1,-1,-1,-1,-1,775505,461955,767193,-1,-1,-1,-1,755391,877752,-1,-1,-1,936078,-1,-1,177288,-1,645650,-1,428721,-1,-1,768341,404880,-1,574049,421534,886994,804797,361550,-1,971424,381481,-1,-1,815921,159071,775694,-1,677290,479634,530698,905928,520782,650123,570273,788281,-1,785765,761978,-1,-1,-1,-1,-1,-1,314868,-1,331216,-1,312880,-1,747048,228585,662762,-1,285867,-1,647736,415454,633549,456945,-1,321488,759553,-1,327957,-1,949477,724423,-1,312379,808590,879845,938499,596173,559894,-1,-1,-1,307766,-1,284375,-1,757830,557240,754569,-1,-1,566177,654976,985741,917404,-1,378782,-1,-1,-1,157994,-1,-1,116028,-1,434029,-1,442606,172661,-1,-1,-1,-1,208433,-1,-1,218861,513110,-1,-1,408736,535551,811067,-1,-1,772390,-1,-1,746111,762007,-1,-1,-1,-1,669657,-1,-1,271047,174396,721426,-1,964812,500365,421916,-1,-1,431748,-1,-1,822999,56324,-1,-1,926809,536381,77105,-1,971779,-1,356709,-1,-1,905813,-1,-1,158934,-1,328036,-1,-1,926375,-1,336626,-1,-1,52019,-1,53118,-1,323255,59236,326363,-1,-1,-1,-1,-1,411514,-1,-1,-1,-1,463522,701654,994185,783900,-1,-1,650014,437570,147792,49496,-1,81923,478840,-1,367904,808766,100412,750371,-1,404120,687787,-1,-1,412136,177399,-1,649817,-1,-1,-1,-1,-1,381378,6727,-1,-1,-1,639851,-1,-1,603608,597065,-1,456231,-1,734926,717647,-1,814760,909711,197054,439979,576567,-1,418364,635773,-1,-1,-1,403310,-1,-1,-1,-1,-1,-1,923125,-1,328149,-1,948677,-1,222387,291239,-1,145321,307835,-1,615610,-1,455826,-1,682148,571139,-1,124651,-1,911925,301724,799204,-1,-1,224006,745087,736075,923194,-1,416269,-1,-1,-1,309180,-1,219860,425051,779376,-1,520722,-1,210232,-1,-1,-1,-1,-1,111010,593325,516373,-1,-1,310753,3465,-1,-1,-1,-1,-1,-1,990755,988875,-1,41793,-1,-1,-1,885315,-1,-1,411102,180620,377345,610119,-1,839754,472727,387870,-1,-1,531816,199257,599020,-1,-1,-1,-1,-1,-1,408373,-1,106368,-1,871245,829314,-1,-1,395032,-1,-1,-1,190692,-1,150038,108427,894209,866696,61741,967678,450162,442462,757597,-1,738671,-1,888491,-1,-1,968418,48914,211087,642570,914955,-1,629862,-1,153703,674594,-1,-1,-1,-1,254087,-1,798394,704250,234674,310782,365979,138445,408348,474591,-1,-1,-1,20792,-1,-1,-1,853711,710978,378568,-1,-1,-1,-1,-1,-1,296220,-1,-1,796599,581218,-1,-1,-1,-1,504497,293728,-1,84995,-1,-1,-1,-1,495471,928386,-1,457989,970366,-1,-1,271778,-1,891259,552865,691518,-1,-1,208636,-1,-1,358328,402294,277353,967326,-1,-1,-1,-1,503516,762382,110848,-1,-1,-1,503650,902636,704208,-1,784943,-1,-1,937682,713921,311559,-1,728316,361992,-1,977959,-1,-1,-1,282875,-1,957778,-1,331193,-1,203414,-1,-1,-1,-1,587469,-1,991962,-1,-1,781054,639587,864151,-1,-1,-1,732301,680040,-1,48431,583509,173145,557958,-1,-1,-1,-1,530666,-1,-1,65634,982253,980668,422450,244806,-1,-1,-1,204374,-1,-1,-1,-1,-1,-1,125555,165486,-1,-1,860423,303750,-1,954242,-1,-1,854161,-1,41186,-1,919025,440904,194943,427459,487582,-1,-1,-1,336146,-1,485949,-1,857687,514828,-1,-1,-1,826509,-1,897758,-1,-1,-1,-1,44850,-1,5346,2158,-1,773927,746647,213843,-1,746942,-1,-1,344272,-1,-1,789329,-1,421003,-1,-1,282674,942514,-1,390094,698124,999751,502756,543025,-1,-1,-1,664609,772961,-1,568546,594981,634719,231049,-1,669201,384195,202485,-1,-1,137985,-1,395492,618661,-1,-1,-1,-1,-1,971224,712721,-1,8984,820589,68964,445868,-1,779633,-1,-1,-1,-1,798829,-1,162422,-1,-1,272683,-1,444311,490704,852523,-1,-1,-1,-1,-1,-1,-1,304459,15117,-1,443552,-1,-1,-1,-1,246707,484887,-1,283078,-1,647696,-1,-1,-1,106643,-1,-1,-1,-1,283620,-1,31385,489099,-1,374870,355840,-1,-1,-1,-1,-1,840965,343015,-1,-1,-1,-1,-1,-1,552893,-1,122236,399840,-1,-1,-1,610777,-1,-1,227382,-1,851034,-1,532979,498434,315350,675368,438563,-1,-1,-1,132174,701641,152507,-1,981237,-1,135058,-1,575502,909792,-1,608924,-1,30664,426670,361377,988340,923533,-1,131263,933396,478615,196792,-1,-1,880069,-1,-1,-1,-1,352811,-1,379516,-1,26162,-1,-1,-1,259152,302524,549318,857747,-1,3216,26552,-1,515702,-1,533897,516753,-1,174301,286374,959849,-1,348550,-1,689489,-1,-1,839703,-1,-1,498390,317765,91179,98291,-1,-1,863363,943991,233726,545084,979503,206846,151568,496819,763366,-1,-1,-1,465271,-1,-1,412812,-1,-1,64347,763234,-1,779077,592136,136143,-1,-1,869885,458923,38273,54621,813780,892647,-1,61596,-1,464207,239800,-1,198748,924819,877084,207222,-1,377970,196242,321140,-1,232567,-1,-1,651633,-1,524749,179305,432525,-1,497330,984887,942868,763814,-1,-1,-1,-1,-1,-1,286375,-1,683136,-1,-1,-1,-1,772730,985751,199382,-1,-1,588866,-1,669353,-1,794311,821290,-1,-1,-1,233713,490059,-1,644931,805575,-1,-1,303978,711948,-1,54194,-1,405035,-1,-1,-1,220924,-1,-1,-1,779350,375533,683734,-1,-1,149957,473082,451746,-1,-1,377023,-1,697818,843661,-1,-1,51588,-1,186620,-1,-1,-1,571753,311465,573426,897693,-1,-1,713383,-1,804524,-1,-1,-1,205446,-1,-1,358245,994312,-1,-1,-1,-1,-1,449134,-1,224765,-1,120228,-1,-1,914328,621114,43631,722724,-1,263942,-1,132282,602945,464733,-1,818366,-1,-1,363916,901439,822926,-1,584727,-1,-1,73624,342874,369773,-1,94171,-1,359651,-1,-1,-1,-1,-1,385592,123830,-1,557346,765879,-1,38101,725245,925273,-1,603990,-1,-1,245074,130129,660163,115742,-1,-1,435250,-1,-1,-1,403162,421053,423521,-1,-1,-1,761997,-1,-1,404206,-1,626593,895145,-1,568617,483751,658895,251969,240147,-1,-1,485276,279781,421494,-1,-1,102959,680135,777069,514058,721153,485817,396297,-1,-1,5580,-1,-1,645578,-1,-1,103432,-1,-1,778208,-1,-1,-1,473933,951473,390648,-1,813716,-1,-1,401479,-1,-1,-1,291843,-1,386036,-1,772095,-1,734562,-1,-1,-1,-1,453402,-1,989210,729791,442308,-1,370648,451816,-1,-1,-1,-1,-1,-1,485048,-1,-1,-1,768895,-1,-1,636736,-1,129592,-1,-1,860321,565664,103893,-1,-1,819864,-1,-1,400032,837823,881680,-1,-1,230826,869242,102667,828742,-1,-1,108305,763250,481958,-1,-1,764309,795223,-1,-1,-1,-1,-1,500262,339052,-1,-1,66786,-1,-1,254547,760524,-1,232179,493631,283059,242832,784836,15813,-1,-1,-1,-1,592199,-1,951330,-1,-1,-1,754011,411336,769900,-1,61216,-1,232925,286773,795678,-1,339080,71603,398513,727223,136778,-1,-1,987029,900383,860056,471630,-1,-1,785233,-1,-1,864901,-1,415941,198905,-1,-1,-1,598168,-1,906463,930746,-1,-1,845513,-1,-1,824818,414470,-1,-1,413657,570108,128112,592503,901286,660225,-1,-1,-1,110300,-1,153833,-1,-1,-1,40982,205693,-1,-1,-1,-1,244428,858060,-1,-1,534720,-1,513161,-1,869659,406899,-1,-1,-1,-1,125033,-1,673238,-1,-1,201111,394234,43780,540702,-1,-1,-1,922412,388285,974025,293924,123223,-1,578321,46385,-1,115605,373296,912056,572021,-1,759217,224449,-1,-1,299068,-1,109260,450105,121956,-1,-1,585389,-1,-1,-1,919816,828513,779235,284554,-1,-1,-1,-1,834644,556157,121442,957902,538207,150383,386507,661527,-1,660980,-1,971003,202995,-1,-1,899188,-1,14034,138416,-1,110305,875572,-1,776955,-1,64581,-1,-1,149744,962750,724440,361800,-1,-1,-1,810496,484004,985039,476890,-1,-1,-1,695049,169445,-1,-1,-1,570209,465646,-1,906481,-1,560720,-1,573104,866869,768238,569238,868035,-1,809527,133367,3891,910581,830709,-1,146291,893859,662808,-1,880282,28350,790098,-1,-1,-1,999332,-1,-1,479429,-1,-1,-1,771727,-1,510101,-1,122267,244814,-1,82455,569554,474343,-1,-1,34707,-1,302533,-1,-1,-1,210725,643681,-1,-1,18265,-1,-1,-1,-1,89325,-1,795747,-1,612299,-1,422396,-1,336083,-1,97227,303964,977864,989879,-1,831508,-1,-1,-1,918046,-1,-1,691362,5998,-1,-1,-1,-1,-1,-1,-1,-1,729467,121694,-1,325188,-1,-1,727871,-1,161144,366382,-1,331583,-1,-1,995514,-1,429051,-1,-1,-1,-1,-1,319219,572011,-1,-1,-1,-1,281722,998728,954944,-1,-1,-1,-1,113907,-1,915177,-1,-1,-1,-1,-1,311994,464442,-1,927732,960991,670548,781689,-1,-1,363530,877636,-1,918540,-1,-1,-1,554712,-1,7670,-1,506710,453138,982743,631854,-1,-1,-1,-1,208790,-1,-1,-1,156487,295836,249261,661600,-1,-1,-1,-1,-1,-1,936658,-1,351540,-1,872765,-1,-1,215733,-1,378371,14875,-1,878947,-1,-1,-1,964774,278876,857742,-1,-1,-1,-1,-1,-1,-1,272049,180742,710610,385983,-1,-1,-1,369880,-1,-1,-1,277894,777021,848259,-1,-1,-1,183231,463102,-1,902937,-1,23481,-1,513302,747178,-1,-1,820076,136601,702417,226139,-1,-1,160634,305657,-1,563946,-1,-1,302371,-1,-1,766367,-1,412047,494095,-1,266224,-1,-1,39711,760146,182775,433502,201091,-1,848739,194220,818798,411225,-1,-1,-1,639389,-1,-1,-1,765466,586458,-1,929346,-1,358802,-1,880045,102649,278917,-1,-1,559108,-1,83537,-1,-1,-1,-1,-1,-1,118202,-1,-1,-1,122290,-1,706338,-1,665839,640300,-1,514437,-1,-1,155820,141416,-1,740144,-1,-1,266857,735078,-1,22710,-1,-1,889107,-1,800281,-1,-1,-1,937239,-1,226879,78469,554606,-1,195589,-1,157517,769372,787412,469601,-1,166493,20150,658950,219731,54686,-1,681028,775324,-1,462445,-1,473534,877252,-1,-1,331133,-1,-1,967441,-1,490959,146500,-1,-1,-1,290078,-1,417955,878615,30719,-1,-1,-1,-1,-1,441624,-1,-1,257668,-1,-1,-1,856538,-1,21005,-1,958238,203008,330202,-1,545894,888327,-1,553907,-1,764055,647026,817050,309226,-1,-1,255995,-1,-1,439584,-1,672489,365912,-1,128639,732822,-1,948153,-1,-1,-1,-1,208280,957145,310444,-1,-1,943500,473485,191494,689983,979128,78174,-1,865942,-1,-1,162270,785139,-1,254934,260501,-1,-1,29929,851349,-1,228312,614504,-1,-1,789662,879263,-1,133587,-1,-1,706020,922056,-1,23288,-1,681224,-1,782549,839516,-1,198293,-1,84012,-1,-1,-1,-1,362514,609175,-1,-1,-1,688074,-1,-1,-1,-1,-1,-1,-1,965703,519275,281081,-1,-1,801339,-1,-1,330948,-1,680463,286400,980565,-1,787933,967595,193317,-1,312524,761329,979910,166827,-1,-1,656036,216961,-1,-1,194621,-1,900305,-1,630410,808614,-1,-1,151993,-1,400451,738885,-1,98735,104506,-1,187897,-1,-1,227387,-1,998124,-1,767033,839883,437404,779396,141021,-1,-1,66462,578968,-1,-1,-1,-1,-1,549741,-1,603189,-1,-1,-1,-1,-1,-1,-1,-1,241275,-1,768637,-1,-1,410394,354550,-1,50922,329442,81590,-1,171420,-1,-1,-1,774882,-1,-1,63233,-1,-1,456890,347077,-1,557052,-1,896798,-1,198609,-1,89631,-1,573395,-1,192091,-1,-1,39308,-1,83534,581260,916906,892964,225439,348086,866099,-1,11725,929226,-1,492674,325293,491678,-1,-1,865007,-1,20647,-1,132339,983627,-1,847012,813562,795876,-1,683616,-1,209490,-1,606506,674288,206395,-1,-1,974542,-1,-1,753998,-1,985898,384274,-1,537055,809022,-1,-1,-1,-1,949721,856452,454179,825444,622521,-1,726550,887276,-1,-1,224012,343221,-1,-1,-1,217934,565027,344834,877589,-1,229433,-1,-1,966297,94050,-1,977726,-1,-1,957490,49011,-1,843398,461786,-1,-1,-1,-1,478014,-1,400843,968275,-1,121469,194454,-1,827182,652333,96912,-1,692514,150079,-1,18368,-1,-1,847976,376574,-1,-1,165773,-1,204330,780540,-1,-1,432567,-1,578500,-1,340451,-1,-1,861166,-1,706322,729883,215374,-1,-1,210701,-1,72898,-1,373271,-1,905937,764154,-1,958260,-1,-1,-1,717061,292851,-1,-1,-1,879152,349258,-1,-1,18452,-1,-1,-1,381749,-1,418604,278051,20001,-1,-1,161948,463187,907927,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,49569,796280,-1,-1,946942,227693,900048,-1,-1,630985,530803,766423,-1,263532,625222,34004,197231,288097,-1,481737,-1,484452,356313,-1,-1,-1,584148,-1,-1,951285,821114,819790,962524,-1,-1,-1,-1,-1,433993,-1,280005,-1,-1,847214,-1,569172,-1,-1,280348,-1,620064,-1,571409,-1,-1,-1,-1,-1,-1,339773,515559,100439,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,990017,-1,-1,171092,-1,-1,901363,-1,679933,-1,639603,816817,678477,-1,410596,-1,-1,-1,907679,-1,-1,479892,-1,382884,-1,101143,594772,-1,-1,-1,545302,303202,-1,567921,323578,-1,-1,445928,-1,-1,564020,-1,335529,649871,-1,-1,653535,-1,91367,705331,-1,197119,195106,691190,-1,-1,430948,619781,-1,-1,-1,979236,-1,-1,467627,412584,22014,-1,-1,-1,-1,504464,353751,858742,157038,-1,921094,663960,134182,-1,-1,55374,-1,685842,40845,721781,-1,-1,333058,43920,19941,-1,-1,-1,889623,814931,894909,-1,825144,425843,-1,973938,-1,560051,-1,-1,-1,497188,-1,225430,671218,-1,174412,-1,96055,896579,-1,-1,419898,-1,-1,999538,85659,-1,-1,-1,-1,336764,-1,-1,480448,-1,114185,485578,988266,-1,418527,678599,-1,792825,387076,-1,719106,-1,-1,936055,-1,223664,-1,-1,542079,745642,798366,642147,-1,-1,-1,-1,-1,276566,229417,-1,-1,808830,-1,-1,281245,802295,-1,545512,977700,718066,-1,721483,-1,302960,-1,-1,712789,-1,-1,23080,296214,-1,486814,-1,-1,852844,3620,991809,544360,-1,-1,230962,-1,-1,-1,-1,983795,690245,756685,-1,-1,309090,-1,274400,632178,-1,623948,-1,-1,358695,795725,797034,-1,201853,837848,831209,625677,-1,755979,-1,-1,971519,-1,89451,987427,-1,-1,-1,-1,-1,-1,412979,-1,52615,982392,-1,-1,626250,-1,-1,-1,-1,-1,392154,590851,-1,-1,630066,874838,722081,-1,80885,-1,418598,-1,582472,105579,939456,913922,-1,360187,533416,-1,789787,-1,-1,-1,-1,337071,15441,426443,672493,-1,-1,514868,-1,567264,922328,870198,-1,77497,317039,-1,-1,-1,379484,-1,401185,-1,-1,-1,117316,174063,-1,31961,765845,-1,321245,-1,-1,-1,-1,-1,-1,359540,799386,666627,-1,297019,295481,-1,-1,-1,768630,-1,-1,-1,-1,-1,-1,-1,-1,-1,974749,-1,-1,-1,741450,-1,681105,94720,-1,-1,328779,505772,416561,-1,-1,-1,694911,-1,802839,-1,-1,565966,-1,-1,-1,-1,902857,-1,93625,426300,-1,-1,796337,-1,183243,195481,685990,-1,-1,101382,-1,-1,97640,633400,-1,447295,-1,250405,593967,710498,-1,362093,711280,734642,-1,935075,367341,-1,283566,984358,-1,388268,644221,365386,-1,138440,228299,-1,-1,-1,821110,448614,-1,-1,-1,-1,520298,337452,503450,160138,44119,-1,-1,-1,177687,-1,-1,-1,307672,455890,-1,125507,-1,-1,551731,723809,983078,-1,-1,597386,591683,-1,-1,-1,-1,-1,819070,611618,449095,-1,-1,-1,-1,20889,-1,536439,-1,226942,-1,515343,-1,-1,-1,740346,620004,-1,611697,648911,175613,-1,197748,-1,213919,-1,708622,892728,514937,-1,-1,-1,-1,207470,783617,-1,996955,-1,-1,929338,-1,925966,-1,-1,-1,-1,134102,779154,-1,-1,-1,866299,-1,345347,706027,839459,-1,722327,513956,5400,471442,42107,-1,-1,116925,398514,-1,-1,-1,461811,-1,-1,546799,320314,517430,-1,-1,980534,-1,-1,249514,45372,981026,215149,299402,-1,610789,-1,-1,704785,-1,-1,341109,-1,453971,-1,-1,-1,-1,-1,339037,932822,439830,-1,-1,120248,-1,-1,-1,-1,-1,-1,73666,586144,465028,-1,431954,52938,-1,-1,871715,294590,29334,343374,423697,529254,166773,-1,356037,-1,130648,153677,831333,-1,25124,-1,-1,69113,580630,848754,-1,-1,-1,-1,328060,922321,388863,775406,399657,-1,465532,682027,501867,124582,987909,53825,423429,110307,-1,-1,-1,-1,-1,485327,485106,178247,289342,973914,474871,265626,696802,925208,643899,854674,-1,659528,880081,589469,-1,-1,-1,911346,-1,886744,-1,163245,679707,-1,722472,-1,412620,-1,-1,44155,623304,671700,688719,-1,542604,-1,-1,-1,-1,-1,745719,-1,206814,-1,-1,31510,343247,490909,176074,-1,479315,-1,952048,730792,-1,147619,-1,-1,-1,-1,-1,-1,879376,405405,-1,589299,459381,926954,-1,-1,318438,-1,342461,698611,-1,248545,-1,-1,335698,308033,-1,-1,39069,-1,-1,-1,219839,558997,85341,49420,244413,-1,482647,-1,-1,358161,383802,-1,743269,927038,-1,520499,-1,546099,-1,602982,-1,687450,-1,-1,197999,-1,920749,687587,638026,57589,-1,-1,288847,765174,727857,384974,-1,127075,-1,-1,608549,-1,265842,978296,-1,989014,-1,228613,-1,-1,785823,441505,214317,-1,154701,-1,-1,-1,840720,684545,-1,610100,857042,948763,-1,-1,191292,995690,-1,-1,231438,455525,989574,-1,305908,203670,848367,-1,-1,-1,-1,-1,-1,-1,125350,-1,50145,-1,-1,618147,-1,993099,611209,-1,-1,11864,812711,229333,-1,-1,371467,393213,-1,514443,-1,512589,-1,942370,389340,279211,869927,460104,-1,959502,49521,-1,-1,182652,531496,567299,-1,70409,-1,71277,681326,-1,-1,19421,95219,-1,427206,-1,391171,847583,-1,809390,-1,-1,769191,175123,-1,-1,436441,945190,-1,-1,-1,119335,578232,-1,-1,-1,756137,-1,66869,18558,382083,-1,544884,-1,754084,544530,222086,-1,-1,799592,105719,-1,-1,150786,-1,493651,972389,-1,-1,419914,689595,-1,813438,-1,-1,71262,475503,-1,-1,651266,-1,-1,-1,347396,-1,933167,-1,-1,-1,-1,-1,-1,598379,-1,-1,-1,593584,178331,-1,243788,-1,910984,-1,846166,-1,-1,-1,797221,263598,-1,629419,181021,-1,885118,159206,-1,634221,316852,292425,772146,41862,281137,43486,-1,-1,586970,-1,-1,380733,993275,-1,-1,307996,10978,740673,859594,920055,742698,-1,211549,210938,-1,470863,-1,-1,73488,793259,340967,-1,225496,704217,245464,851061,99438,499607,38040,-1,-1,655352,222916,237463,658785,-1,558316,903240,-1,958977,-1,321825,-1,-1,-1,113391,836324,526511,459640,42325,-1,-1,-1,120397,722048,300703,-1,913007,769365,99250,-1,624027,427278,-1,-1,-1,-1,-1,-1,708511,-1,80466,806313,417918,-1,332954,189074,-1,178882,128190,-1,-1,-1,-1,-1,358776,732402,-1,-1,868299,657029,-1,276612,644676,159901,967602,822788,-1,490978,-1,-1,-1,-1,274810,-1,47494,-1,819500,107363,-1,812432,85733,223832,-1,-1,-1,-1,-1,-1,163295,-1,-1,170002,246186,-1,-1,-1,-1,407359,-1,-1,-1,902434,-1,-1,368654,519288,217627,754157,-1,-1,-1,317038,137706,-1,-1,-1,-1,482422,708094,281800,538114,488270,-1,-1,-1,69293,641407,-1,-1,-1,265606,981116,553869,-1,-1,-1,339869,-1,-1,885541,768195,110404,-1,-1,717142,751785,177538,990901,451694,-1,275415,738653,837991,-1,-1,259546,718187,30248,-1,-1,114198,722593,93935,-1,441557,820648,189909,17579,-1,379715,-1,-1,172491,-1,-1,857640,374412,-1,653297,887921,501314,870927,98256,481564,829244,36688,-1,486318,-1,-1,-1,-1,-1,-1,202098,-1,-1,-1,-1,75910,-1,-1,-1,217823,128071,-1,-1,566485,870297,999443,-1,-1,616810,-1,569177,738093,-1,941434,478958,-1,-1,-1,-1,423890,329680,932909,-1,607956,944226,-1,-1,-1,255196,-1,65837,-1,-1,52029,-1,-1,-1,-1,-1,920735,282704,-1,243918,923545,574735,396210,-1,-1,709171,419432,126734,-1,-1,-1,879560,-1,-1,980800,201962,-1,365558,-1,763,-1,-1,-1,-1,-1,-1,-1,257786,-1,-1,-1,-1,255320,-1,-1,841165,858494,-1,196791,-1,-1,220798,513509,443763,-1,-1,964331,-1,222781,-1,909093,-1,68418,-1,118045,-1,282581,-1,698596,-1,-1,134313,-1,-1,-1,-1,364347,-1,-1,-1,-1,-1,919080,179449,76355,39896,-1,2687,601808,184384,641393,-1,-1,-1,79894,211194,195994,-1,303768,-1,-1,664432,-1,-1,813714,-1,-1,-1,578407,711831,692088,-1,-1,193411,-1,-1,-1,-1,-1,119470,-1,-1,432083,313797,704580,942517,54327,-1,-1,657531,-1,143655,-1,-1,974461,893922,188712,512854,506030,374073,-1,-1,-1,-1,393280,-1,218409,976683,-1,921893,675099,126571,339944,766409,441116,239934,-1,-1,-1,-1,172185,-1,-1,-1,-1,32844,141288,980181,230936,788578,-1,637391,-1,-1,978903,-1,280437,848883,164095,-1,971449,-1,-1,-1,-1,325552,934499,-1,-1,197593,338529,-1,-1,-1,-1,648536,292373,-1,-1,-1,-1,-1,312563,263207,-1,-1,815306,357733,685880,775075,276980,757660,-1,-1,992897,543618,-1,830747,-1,886981,826363,889127,-1,969851,21357,989955,269755,964703,330753,-1,-1,220601,233401,-1,-1,-1,941957,220934,-1,-1,698609,499657,248904,226174,-1,322723,-1,-1,385998,118247,-1,708342,831682,-1,974267,4622,121589,228444,771725,-1,-1,-1,-1,187854,-1,-1,-1,-1,959635,-1,-1,-1,-1,-1,672642,-1,-1,847589,744252,137561,517303,818721,-1,39845,121398,-1,-1,354740,-1,-1,743145,-1,156958,-1,702021,677442,424679,751857,-1,447786,-1,-1,-1,-1,-1,263646,748590,-1,128945,-1,229956,794781,632180,329332,842182,-1,735957,370129,-1,701790,-1,804411,873331,123390,-1,43422,297254,803210,-1,-1,999500,783624,46135,711054,-1,-1,-1,-1,83266,948566,-1,549377,-1,628611,734235,-1,-1,-1,-1,31565,-1,267770,674518,-1,-1,-1,922718,59763,955823,-1,442812,-1,408487,-1,187579,352167,822869,914993,-1,-1,-1,773692,857204,78969,522509,-1,-1,-1,-1,709308,792200,741455,-1,-1,444885,-1,14752,308701,544620,815940,293001,861619,-1,-1,-1,545286,300600,430146,-1,-1,627986,496775,129496,-1,-1,8228,721812,859791,985724,345867,-1,-1,899118,60917,-1,-1,206224,-1,774344,182865,-1,522143,-1,-1,834723,580051,-1,-1,255914,414140,-1,-1,-1,677300,-1,974647,-1,-1,-1,467751,512211,-1,934247,-1,-1,934655,438497,-1,-1,-1,863331,20734,-1,960145,897409,141448,-1,839290,-1,-1,-1,-1,252455,960260,470367,-1,-1,579622,-1,-1,-1,-1,-1,-1,373523,-1,458410,955051,702086,-1,-1,-1,-1,424155,-1,-1,952778,376065,-1,583433,921453,363617,191094,911068,-1,201783,-1,-1,-1,-1,-1,-1,494184,769510,355609,-1,-1,721702,897465,-1,-1,608665,250304,-1,-1,857846,58002,880161,858781,-1,453672,-1,569209,585596,-1,-1,301370,-1,-1,67536,475050,237749,-1,-1,-1,-1,215260,-1,-1,-1,-1,-1,-1,215356,12710,546324,-1,66718,658041,584672,657016,-1,-1,250691,-1,-1,855695,-1,-1,-1,121299,111353,-1,-1,-1,-1,-1,-1,-1,310359,-1,-1,525185,-1,708069,923092,-1,91459,461673,202347,-1,-1,746730,-1,136993,-1,-1,212416,-1,-1,-1,-1,-1,-1,-1,446971,833966,78739,563967,843319,291620,900012,-1,-1,-1,173017,-1,-1,-1,-1,-1,827243,980965,-1,181475,437007,-1,609179,541960,-1,-1,-1,581906,927007,865460,-1,60709,-1,787429,-1,-1,-1,-1,222143,-1,758026,-1,846688,-1,124141,-1,-1,973301,-1,-1,-1,-1,-1,621704,412586,796270,268011,-1,409544,769470,-1,-1,-1,61613,276805,974086,622139,119536,-1,-1,972248,-1,-1,24007,-1,-1,-1,-1,-1,194625,-1,239890,-1,537411,612022,109913,-1,801764,58806,333504,732654,-1,-1,-1,266063,-1,-1,-1,695240,503818,-1,400956,-1,-1,-1,-1,410184,-1,797522,-1,606865,-1,892832,226493,688000,-1,-1,30036,-1,289765,-1,-1,355342,65347,290669,102932,-1,709376,269534,-1,61518,237751,-1,512959,477196,-1,39603,-1,876590,-1,-1,-1,-1,-1,-1,539594,-1,987241,-1,877309,307579,89209,947113,-1,364437,929949,988255,-1,-1,-1,296998,957653,-1,-1,-1,-1,606607,-1,-1,-1,259568,-1,282112,42701,545088,940607,-1,711915,454581,-1,-1,-1,969042,-1,878475,559347,-1,838419,797171,511967,961415,-1,836442,-1,-1,-1,-1,-1,-1,-1,682527,426478,482204,855492,-1,418918,138734,-1,-1,-1,729964,532286,-1,-1,-1,-1,513268,507805,-1,-1,-1,-1,532058,-1,-1,252557,-1,-1,758669,-1,976024,-1,-1,69353,-1,800054,-1,-1,830338,445474,-1,-1,854696,260519,-1,520996,219589,969484,-1,-1,788694,78875,-1,-1,-1,825578,405197,811585,-1,-1,285824,268948,916827,-1,-1,577798,-1,487497,783211,168253,611127,-1,-1,-1,627111,-1,-1,-1,859935,-1,415732,177535,-1,267398,465818,-1,-1,550946,-1,-1,197834,-1,499819,415497,243649,462565,615003,-1,-1,-1,574196,-1,-1,223945,334870,494935,-1,647701,-1,-1,879073,-1,350943,-1,886291,75398,847069,587444,-1,609182,154888,-1,398747,987351,-1,-1,-1,-1,662010,240456,-1,-1,107485,486285,-1,104395,503830,477436,902813,-1,958835,122946,518861,123245,-1,806841,156721,416539,793684,-1,987644,-1,-1,748171,-1,427145,940131,909960,-1,-1,171647,965941,740424,308026,-1,394742,997875,-1,345544,985558,41573,735651,-1,200576,399249,313815,949977,-1,850478,32446,-1,-1,527256,-1,460425,415007,361901,286326,-1,483705,-1,990703,765499,864163,963120,346919,-1,310555,-1,196690,75204,-1,-1,777697,815708,-1,-1,-1,-1,-1,813472,747139,697021,808136,261594,-1,515961,843340,440724,-1,913739,866873,-1,551615,628402,-1,-1,-1,460640,-1,296051,-1,277722,-1,480255,-1,141927,-1,473381,419757,828749,-1,-1,228043,-1,-1,-1,739686,158248,284943,531557,367557,-1,-1,45670,799047,647748,180154,564256,-1,856786,249192,-1,982457,742376,-1,761442,339684,53880,279684,-1,945627,186860,-1,-1,569351,737084,-1,648696,-1,57914,539714,623324,684850,171082,-1,121173,-1,-1,847364,-1,-1,400649,-1,-1,-1,809440,59553,-1,450228,-1,-1,-1,-1,-1,-1,386803,-1,173108,-1,-1,-1,990215,663570,490484,138086,574592,439389,447450,709352,269655,148930,713510,-1,897270,81598,87166,-1,773669,103179,879209,-1,986685,20976,922070,-1,-1,-1,355848,676383,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,310854,279296,726069,830972,-1,-1,-1,82449,127037,42245,-1,-1,174016,434938,-1,-1,-1,683831,170699,942311,-1,-1,745294,688371,123104,-1,178734,-1,418096,-1,415872,598432,707737,-1,-1,-1,-1,297696,949262,-1,332389,459602,-1,623426,-1,-1,-1,196826,-1,577392,-1,128819,-1,508328,-1,-1,-1,-1,-1,345556,341050,25082,-1,604183,-1,-1,363397,-1,-1,-1,805866,199855,-1,438181,-1,-1,605988,552942,798888,-1,-1,827861,746356,45872,184867,-1,-1,506775,118070,927670,602782,478484,97443,-1,-1,459121,-1,-1,-1,-1,535666,60624,117752,804894,-1,617546,-1,-1,-1,691994,423249,-1,840710,-1,866393,416346,-1,-1,-1,489864,-1,533817,-1,885869,282398,48814,-1,682644,624461,-1,960942,-1,741211,444519,856527,72762,713456,-1,-1,554846,-1,-1,358283,-1,-1,-1,399291,-1,-1,247479,-1,476478,-1,-1,501279,797109,-1,-1,679866,907562,130216,733430,913374,-1,794656,828408,-1,186963,266148,303488,508316,-1,253270,-1,-1,-1,-1,-1,389339,3860,242176,-1,-1,-1,-1,-1,288687,-1,74548,710285,94690,-1,-1,391624,207107,580355,-1,501930,183057,-1,-1,-1,-1,106782,-1,-1,896225,964987,-1,455958,4856,-1,-1,-1,-1,698572,-1,95509,-1,-1,884487,110389,-1,512603,-1,-1,68186,347132,483160,-1,529524,-1,-1,520713,-1,630050,660319,800377,100353,-1,547092,-1,-1,-1,-1,-1,-1,576268,866987,691290,-1,-1,-1,-1,-1,-1,296056,840486,-1,51136,-1,-1,-1,-1,356429,544945,-1,647238,-1,-1,-1,595878,406852,60651,743970,-1,-1,-1,594217,990502,394229,268642,302032,762100,-1,-1,-1,-1,322304,885532,-1,-1,435843,-1,-1,-1,904734,96972,-1,554271,280494,555179,-1,908776,420565,116351,-1,91794,-1,297174,-1,-1,-1,707005,-1,802521,708755,-1,-1,440266,150959,-1,-1,654407,478587,664780,915676,786543,210419,34239,224276,-1,114505,-1,500640,-1,618531,-1,922377,-1,633661,563140,-1,657877,439434,-1,-1,-1,239649,-1,127860,-1,-1,-1,761734,371457,-1,565899,17483,63846,-1,883545,338155,-1,-1,975977,672088,22507,-1,885435,-1,-1,307840,-1,-1,585622,-1,911705,861173,647308,649200,300993,-1,117889,-1,183340,429617,-1,-1,-1,454625,-1,-1,-1,757452,242631,-1,-1,978657,-1,-1,918493,-1,-1,-1,916056,286058,-1,-1,259722,631679,-1,-1,-1,-1,-1,-1,-1,-1,-1,307970,-1,627599,656575,-1,585513,286673,-1,-1,-1,-1,-1,851560,211173,699588,823740,160729,744294,76603,-1,-1,-1,-1,-1,97779,675446,-1,-1,996931,85514,338774,-1,-1,-1,39180,510487,-1,-1,-1,-1,38595,992374,194903,960336,-1,-1,-1,409893,-1,-1,-1,-1,-1,-1,-1,-1,-1,366112,-1,833201,-1,812722,-1,-1,474759,411136,779294,743772,-1,-1,234592,980378,-1,398358,-1,972151,267060,417206,-1,-1,-1,2933,-1,439417,530167,505441,485312,225974,-1,-1,-1,-1,-1,-1,867649,-1,640595,156529,558727,-1,-1,-1,-1,151984,196687,-1,753535,524734,948983,-1,-1,751893,552305,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,309636,-1,-1,-1,-1,-1,-1,-1,-1,938501,506024,-1,55991,4506,-1,128360,141080,628035,351447,438471,-1,418815,-1,436074,-1,775791,385372,-1,179264,570026,-1,-1,566454,-1,-1,126608,-1,-1,-1,842279,-1,203055,379192,145035,-1,889134,133505,194685,904916,-1,287837,-1,-1,-1,335838,339928,382702,-1,-1,-1,-1,-1,-1,573551,607429,-1,171321,-1,157029,433334,-1,-1,-1,-1,-1,-1,-1,-1,423152,-1,108050,-1,-1,-1,-1,96700,-1,558408,-1,-1,-1,-1,-1,-1,339745,-1,-1,604307,-1,254311,626568,-1,284890,-1,-1,385747,839173,452240,891740,195268,726459,608042,-1,-1,714237,-1,-1,-1,207831,-1,612916,198067,199792,-1,814497,930301,362972,-1,712117,533008,665910,790023,-1,680219,-1,780014,110218,-1,-1,-1,958505,598825,580445,694397,-1,291246,-1,-1,531257,200346,760073,756993,-1,-1,-1,541072,-1,70340,8508,-1,-1,544187,652361,672165,-1,-1,-1,400534,806391,-1,-1,952853,-1,915816,406917,747922,580723,-1,-1,183308,-1,-1,-1,974829,704316,80262,951365,-1,-1,-1,975978,871685,809730,-1,-1,465663,764330,-1,-1,390226,-1,731603,-1,341189,959408,-1,523383,-1,-1,-1,491411,849430,995118,828928,-1,958033,-1,713321,10807,-1,-1,532822,-1,-1,283695,281983,726315,145522,474844,-1,-1,663493,-1,-1,209450,-1,403306,-1,-1,-1,538447,891629,852217,887645,902787,927253,-1,638584,-1,-1,102284,-1,-1,-1,47241,-1,799290,849652,-1,573884,773946,793730,833634,-1,47322,-1,118977,437325,-1,-1,148607,23602,808793,371967,836497,397096,729868,-1,348366,869904,660098,640591,921853,-1,958764,-1,-1,17570,-1,765024,-1,-1,388150,-1,-1,-1,-1,690145,-1,-1,-1,-1,-1,-1,964072,581876,974856,-1,875188,620781,-1,746738,-1,22359,169449,238828,-1,-1,634171,195220,873928,86308,-1,204772,667451,-1,629535,-1,267459,-1,-1,-1,798017,-1,-1,361759,101563,563003,315917,957901,-1,-1,979221,143717,637827,-1,-1,-1,-1,976566,496858,-1,-1,45668,316224,-1,-1,418678,-1,759741,-1,485621,704115,921551,404635,822379,-1,567354,533367,301258,945855,366039,552853,655220,153424,473977,-1,-1,-1,375795,462168,-1,420060,-1,694523,250355,723370,-1,-1,542388,709167,-1,491549,-1,214626,142853,-1,519461,592465,-1,-1,219264,575651,76555,-1,-1,-1,-1,-1,-1,327971,19673,392451,-1,358838,930570,50456,-1,878326,-1,-1,110760,358467,131191,385800,-1,74741,-1,-1,-1,-1,-1,654489,-1,-1,-1,-1,639403,972489,-1,373517,-1,531219,243984,230667,-1,489823,468526,-1,-1,-1,484278,792283,-1,704964,-1,-1,167672,724431,-1,-1,903326,-1,783692,-1,68653,-1,-1,-1,552142,-1,-1,-1,-1,-1,-1,89354,-1,-1,40030,794898,240236,118594,-1,62551,499254,-1,124992,388949,-1,841933,407014,-1,652265,-1,59200,688502,-1,6984,904726,-1,114239,-1,-1,46938,979218,956694,-1,311786,584258,919081,-1,557355,-1,914148,637252,-1,943154,595984,-1,-1,-1,-1,541272,7618,-1,615451,-1,-1,-1,594191,-1,899998,-1,342389,782194,-1,-1,315524,-1,636094,-1,587304,313561,-1,848254,567949,491316,-1,765235,-1,393150,803297,926850,-1,-1,-1,-1,490567,665878,615436,719524,-1,-1,-1,101302,788532,-1,-1,185684,-1,289234,212354,-1,924006,233388,-1,670314,619329,-1,247366,-1,-1,-1,-1,27625,-1,-1,-1,141176,-1,-1,-1,642637,787584,218438,320394,-1,10377,-1,-1,-1,997249,-1,-1,-1,-1,-1,894154,458950,-1,980301,210403,-1,-1,-1,-1,103882,-1,-1,-1,867722,199134,534006,237835,-1,78205,-1,-1,872640,890741,-1,644784,415970,-1,-1,360749,-1,-1,135500,-1,796273,168560,820581,454633,125900,-1,17627,915158,451771,135502,124748,575184,433944,885499,708090,180584,73260,236227,-1,-1,810773,-1,962784,-1,-1,-1,-1,718168,995955,-1,514852,-1,-1,-1,804263,-1,756432,-1,952405,-1,-1,92916,-1,585744,894863,-1,-1,-1,-1,-1,451833,991247,731985,645543,202569,869497,324253,-1,246854,391687,644987,927414,12303,487878,744978,800691,897863,619382,-1,185064,500814,-1,-1,392236,193930,518601,977139,866154,-1,-1,741032,-1,857865,-1,281696,506988,45558,-1,420022,-1,818998,140068,318620,198828,-1,608626,64219,204781,672448,-1,305141,950772,741509,-1,-1,296344,-1,441439,169156,48751,-1,-1,313909,-1,-1,-1,512738,-1,-1,-1,-1,43036,94692,-1,-1,-1,-1,425872,51693,303732,-1,663768,-1,490347,760436,469022,-1,-1,777206,-1,32736,552712,525665,904770,311869,-1,-1,-1,300209,-1,-1,821301,172556,929785,339284,-1,794546,-1,-1,996859,-1,114900,-1,-1,258851,967938,-1,768897,-1,294824,-1,-1,-1,-1,418877,62144,190204,618195,-1,317409,-1,877071,920250,470643,-1,928846,542782,686976,-1,273242,214341,-1,62975,-1,43236,904605,-1,-1,607515,-1,476350,-1,134405,-1,828265,-1,898319,-1,-1,-1,-1,-1,-1,954946,333774,169630,722167,-1,751686,-1,616933,-1,-1,-1,137874,-1,-1,752623,-1,449439,-1,449509,775985,705001,-1,712825,930250,-1,-1,128627,-1,-1,-1,444218,905003,823760,-1,353746,283900,-1,-1,646526,536484,-1,-1,131655,-1,647971,607841,661208,-1,39278,688,-1,703224,-1,-1,518909,-1,103945,-1,882457,724632,279675,-1,-1,776222,-1,-1,444079,-1,442731,-1,907312,-1,-1,410594,762766,-1,99321,-1,838657,-1,432395,-1,-1,695727,-1,75056,861836,171989,457119,778821,946709,-1,-1,866757,-1,-1,693520,330110,-1,-1,-1,-1,-1,561178,-1,-1,-1,971692,127787,-1,856960,957076,833509,-1,-1,380600,-1,880438,-1,-1,314081,986652,908451,-1,-1,479518,-1,-1,-1,758679,-1,325801,-1,524689,960640,624239,10362,626621,-1,328817,797106,-1,967699,545567,613046,-1,406751,-1,257559,-1,941451,179188,257994,571484,727378,676172,831800,-1,-1,-1,-1,707768,437925,147836,368756,-1,-1,155268,-1,-1,-1,449991,750867,-1,-1,22821,63686,-1,-1,540372,-1,-1,-1,663021,-1,-1,-1,927763,891709,338611,-1,-1,491670,74196,-1,-1,-1,954952,-1,422972,71680,-1,40834,972961,830378,402774,490416,974233,-1,-1,-1,-1,541089,-1,-1,-1,-1,713237,387777,-1,817306,334909,-1,690762,594714,801647,-1,863421,585869,-1,-1,448912,253576,744691,-1,361386,-1,111221,-1,939447,47607,-1,-1,796348,-1,147163,114108,-1,605771,-1,369647,-1,-1,83875,-1,915830,-1,292296,-1,747610,531382,-1,-1,659831,-1,-1,-1,-1,825560,-1,788231,515996,265681,-1,729854,-1,-1,247217,483769,310467,885903,-1,30205,-1,264323,-1,576688,169568,634250,-1,414481,-1,638707,158385,-1,-1,386652,315367,603308,294344,85812,306105,-1,198768,410328,-1,887929,-1,-1,-1,551860,-1,249335,468011,-1,131594,272137,-1,753562,-1,126678,-1,634,681418,142637,-1,481674,839591,137879,-1,-1,-1,411791,-1,286303,589826,-1,-1,455948,798966,250616,-1,-1,545806,643177,-1,-1,-1,-1,976931,-1,597873,909391,-1,-1,-1,-1,996692,-1,407794,-1,810305,11814,-1,415370,-1,-1,-1,-1,162957,-1,370697,220824,855893,399170,-1,-1,794312,152966,811368,638129,731969,-1,819367,219084,-1,-1,-1,756421,986091,403516,-1,-1,-1,-1,505032,795658,375536,-1,-1,81661,791541,-1,88717,455117,-1,230398,-1,582865,-1,955189,-1,488616,749890,117111,-1,209303,-1,-1,-1,-1,-1,258131,-1,861743,983527,-1,-1,-1,381026,-1,-1,-1,686730,-1,901753,35898,-1,124779,-1,839698,-1,-1,-1,-1,-1,934296,-1,-1,293419,-1,388312,796704,-1,242808,-1,-1,239660,823405,-1,-1,548803,-1,-1,-1,-1,-1,831029,728804,-1,516772,473232,-1,-1,-1,-1,756816,-1,-1,-1,-1,537988,-1,373044,803140,80081,882799,-1,466719,-1,647984,429181,-1,87703,-1,182861,924141,-1,-1,-1,391760,-1,-1,226918,-1,-1,847318,-1,428093,-1,302005,-1,-1,-1,-1,736484,51159,290753,-1,723030,-1,349280,-1,-1,720401,92385,127589,-1,584002,201059,-1,725675,209933,-1,515709,947913,215191,341377,-1,-1,745789,59026,255373,-1,-1,-1,459038,-1,670294,-1,-1,181384,-1,-1,381347,730972,546042,443776,-1,-1,-1,573802,-1,251768,-1,691513,-1,770678,-1,-1,337531,837434,240388,986328,26989,-1,-1,406278,70621,341273,571316,58642,-1,-1,-1,950110,25987,130684,634398,52268,246353,823364,-1,472795,-1,981915,-1,737798,324974,-1,104918,880439,385396,-1,594957,761090,-1,885997,-1,-1,-1,-1,546730,-1,427421,-1,626201,242727,192629,-1,-1,324101,776108,-1,-1,-1,926975,297273,720767,-1,-1,239173,921137,47998,-1,977138,40070,78015,327630,211757,431873,-1,-1,283744,-1,799220,256460,79889,-1,488356,358541,697146,-1,243945,-1,207883,403511,688403,-1,164210,-1,-1,-1,586095,-1,-1,-1,-1,-1,-1,557843,-1,-1,963121,22672,-1,-1,-1,680370,-1,-1,706390,89516,-1,383495,-1,-1,-1,-1,-1,-1,287611,827827,71381,13908,-1,110281,-1,27224,-1,817263,289875,-1,329756,40236,927352,-1,-1,322308,-1,908214,-1,908805,-1,-1,-1,285181,475079,959081,-1,568785,488965,339072,-1,-1,-1,398994,-1,763210,68567,552480,-1,780032,-1,2136,964066,-1,193430,460028,-1,-1,44288,886844,-1,410173,128057,-1,-1,916563,635313,-1,511193,-1,-1,-1,137943,-1,-1,110589,819747,250174,-1,757928,189148,-1,432210,749730,556846,967822,-1,229400,-1,-1,124611,-1,874940,-1,-1,381806,907060,833692,-1,273650,464215,750308,-1,202938,884055,197422,-1,170764,191382,38929,-1,623379,-1,-1,-1,447905,448041,826080,448529,-1,546957,626482,947181,285165,380397,-1,487526,812258,515855,369965,-1,-1,546699,590849,415521,-1,753184,597720,546235,-1,-1,719362,-1,745230,236481,959725,-1,-1,-1,624298,-1,947471,-1,199433,-1,651031,316475,-1,-1,859763,436775,-1,409436,607332,-1,81700,-1,-1,-1,493681,584975,-1,237743,-1,-1,-1,538276,757585,440744,-1,561057,-1,-1,-1,-1,-1,652689,100665,274932,952525,-1,681385,-1,770439,165979,-1,-1,-1,-1,893615,345945,764453,768453,492436,899833,-1,-1,-1,-1,640439,-1,-1,897097,209885,-1,11469,650805,779719,9272,619931,483942,-1,82854,-1,127387,694977,-1,-1,607848,-1,702876,-1,-1,482870,36727,87160,605652,-1,530316,-1,193314,527015,390565,-1,-1,-1,-1,74945,-1,599644,639061,-1,569667,860711,918542,-1,247267,300741,-1,-1,-1,990312,-1,169807,229244,718,687289,589334,677140,-1,-1,-1,997987,-1,941635,-1,-1,39915,-1,-1,636863,530309,518639,-1,899676,-1,-1,-1,469315,406462,-1,-1,-1,-1,466504,-1,-1,216775,252491,336003,363550,319257,-1,-1,969376,84494,739759,-1,-1,893737,759732,845326,-1,78321,945454,616105,-1,84558,812219,-1,856611,-1,553588,-1,785251,-1,515473,743506,246398,427922,-1,517305,-1,530748,-1,-1,967458,197536,235622,448337,516524,373236,-1,493239,96594,911887,556887,-1,819382,-1,-1,979506,-1,-1,377674,733239,839233,-1,-1,809077,495373,-1,177189,-1,452497,-1,243834,-1,-1,-1,-1,366559,-1,624268,-1,279583,-1,-1,-1,-1,-1,50179,-1,-1,91909,-1,-1,-1,451885,-1,-1,-1,-1,-1,688657,-1,-1,-1,-1,451859,328998,443770,-1,672976,-1,955514,-1,935093,-1,-1,875458,-1,-1,-1,-1,-1,-1,840877,243968,-1,677113,-1,-1,964735,222517,-1,115964,-1,901771,-1,-1,453646,-1,388177,-1,368442,-1,-1,-1,-1,-1,-1,869067,64266,-1,436788,-1,-1,597614,946181,-1,-1,745089,-1,-1,860619,-1,465820,-1,-1,836687,-1,-1,368350,-1,-1,483286,-1,-1,-1,-1,-1,647786,568089,152322,-1,-1,-1,769113,148101,-1,-1,-1,-1,115305,65643,781445,899694,779944,-1,-1,-1,453067,-1,184156,19226,-1,-1,220173,-1,-1,-1,484595,-1,-1,150463,889301,-1,724719,-1,-1,-1,238847,441706,-1,-1,-1,-1,14138,69042,850679,154983,-1,436078,-1,-1,-1,-1,-1,299899,-1,-1,739090,694679,-1,101339,-1,775716,766412,-1,233402,-1,-1,-1,-1,-1,786893,-1,-1,-1,906747,473685,-1,-1,-1,668000,-1,-1,-1,698741,-1,-1,-1,656062,849247,-1,-1,170520,299218,-1,-1,-1,-1,-1,336582,-1,-1,65709,-1,667646,-1,-1,185147,811548,-1,-1,-1,-1,-1,865255,-1,527380,-1,-1,-1,476578,-1,48775,263867,315811,397021,78056,320429,789300,-1,-1,-1,-1,682438,-1,-1,-1,-1,-1,-1,543853,-1,938681,197008,20592,-1,816394,366055,-1,-1,441750,432387,-1,857157,561693,-1,744232,-1,-1,-1,355175,850621,581659,467968,49946,-1,-1,107785,-1,-1,895660,-1,-1,20427,619507,-1,27173,-1,-1,927728,602107,993073,539756,-1,-1,-1,-1,226792,425515,-1,-1,240849,355247,-1,370399,-1,-1,563053,144072,8065,132946,-1,-1,688203,357455,-1,-1,199909,-1,-1,15991,941833,-1,649763,462762,-1,820727,75743,-1,774970,256738,-1,-1,-1,149656,-1,651565,-1,-1,281685,-1,263198,515584,-1,-1,230685,-1,48634,-1,482214,-1,684101,243557,713057,-1,-1,751296,791304,624936,-1,-1,-1,950408,164477,576241,323910,-1,207946,948618,640301,-1,430641,-1,-1,-1,952430,671453,-1,-1,416629,-1,-1,145248,-1,-1,-1,851480,938554,109066,-1,-1,-1,626530,-1,118708,-1,891370,503368,-1,-1,427871,-1,-1,-1,-1,-1,752044,-1,617044,-1,-1,142074,-1,811716,77821,-1,565635,857984,-1,-1,893246,568807,-1,866609,633548,517354,-1,-1,-1,36010,-1,-1,-1,401307,-1,934647,439923,701035,940488,216554,-1,251428,-1,-1,268174,753984,803246,975271,500363,66394,793846,758374,308312,972864,311795,-1,-1,-1,958693,-1,1954,-1,-1,31743,-1,577175,-1,150034,-1,-1,-1,342379,-1,897534,-1,-1,-1,-1,368735,10675,-1,632241,-1,-1,153067,-1,961456,-1,881260,828529,674094,228603,300348,448495,-1,-1,-1,423173,-1,303340,-1,-1,-1,-1,464700,-1,-1,292173,522930,-1,490789,-1,-1,-1,-1,-1,-1,79332,658869,-1,-1,908186,-1,403995,-1,-1,965448,60246,806222,434061,783057,-1,-1,22795,1161,-1,-1,-1,865727,-1,-1,-1,123347,-1,739148,-1,925102,175183,738600,590769,836354,-1,-1,403216,224398,707507,-1,790,170421,-1,-1,-1,-1,978312,72583,-1,-1,-1,41779,29761,914214,-1,-1,427657,63969,189575,-1,-1,-1,-1,640758,-1,-1,-1,-1,125866,978238,-1,-1,959980,161484,663236,480476,-1,-1,192724,462094,-1,331287,6042,-1,-1,-1,665624,-1,167437,-1,-1,40304,-1,-1,996650,-1,216457,-1,-1,923785,-1,-1,788429,-1,-1,-1,-1,463790,-1,-1,987900,296184,-1,-1,-1,-1,-1,257473,507021,94375,-1,-1,-1,714718,968807,187812,323966,-1,-1,565112,317084,-1,961672,15825,165243,-1,145764,646293,423932,171441,-1,-1,884221,-1,-1,-1,-1,-1,758953,-1,225852,-1,505430,218631,-1,-1,-1,-1,-1,-1,912817,178953,-1,-1,-1,-1,-1,-1,787529,-1,929742,-1,983945,725477,760049,149758,-1,49984,353356,232362,764376,-1,411796,-1,902270,738131,755622,-1,813771,-1,-1,-1,992180,450408,845213,-1,888009,912383,-1,-1,274781,-1,782911,-1,-1,895852,-1,-1,383036,-1,-1,190974,552302,735913,-1,943483,-1,637049,540534,509210,-1,-1,421637,-1,-1,564215,-1,222889,-1,627136,748408,318065,-1,-1,-1,-1,-1,-1,645811,-1,493452,-1,-1,826900,-1,-1,-1,5841,-1,-1,-1,359771,-1,207346,-1,580237,-1,154203,954889,-1,716867,-1,-1,627279,-1,761287,-1,735340,-1,32127,295304,710009,451430,-1,-1,-1,-1,197250,-1,-1,-1,577171,2270,140696,730276,796447,-1,911845,335144,-1,-1,-1,776942,883969,585893,695861,-1,-1,-1,943557,-1,-1,-1,-1,855520,704089,-1,-1,863099,848085,-1,-1,437779,347727,591520,-1,-1,933838,-1,208444,539840,-1,-1,958492,-1,-1,-1,382641,44260,-1,-1,886465,-1,-1,-1,-1,-1,805233,331576,369518,378012,601083,714669,-1,-1,665054,-1,143683,860959,-1,-1,984765,-1,561937,-1,-1,-1,-1,-1,-1,366901,-1,-1,-1,-1,-1,-1,173024,-1,382420,-1,645497,-1,800687,-1,-1,212469,505893,977187,497822,-1,-1,38884,-1,664472,-1,-1,-1,500695,-1,-1,-1,224060,207973,-1,-1,573194,-1,-1,-1,240007,-1,-1,328078,-1,754069,935417,524878,-1,-1,-1,-1,-1,917975,-1,-1,-1,266549,-1,-1,580744,-1,-1,-1,334935,46898,845954,711850,711230,-1,-1,-1,-1,756618,-1,-1,734082,-1,407865,616876,92844,-1,-1,-1,-1,598971,942015,-1,112396,889137,-1,-1,993220,734011,621691,-1,820334,358647,-1,-1,349074,560128,-1,808469,-1,-1,370224,631698,237876,351598,-1,-1,-1,-1,319913,312017,506758,-1,-1,-1,-1,442849,-1,-1,207401,-1,-1,-1,-1,-1,72208,-1,-1,-1,482753,255122,-1,-1,-1,-1,-1,-1,-1,448231,-1,-1,608780,952108,584854,-1,853412,309918,-1,-1,986344,-1,-1,924654,394858,-1,33434,-1,-1,890527,-1,377127,760306,-1,537720,518022,923461,-1,680383,-1,-1,162774,969067,-1,326126,551265,843125,-1,880594,823917,100248,-1,237853,-1,-1,-1,-1,-1,-1,-1,-1,166821,600518,-1,-1,-1,571651,471367,547062,226258,-1,836218,951546,-1,-1,524115,531077,992537,-1,554131,170385,-1,-1,-1,185105,-1,635195,496033,-1,116861,466583,877591,-1,-1,-1,966310,-1,853231,-1,936224,-1,-1,-1,419670,554289,-1,-1,465011,916084,550336,-1,233885,-1,-1,852932,-1,901806,-1,-1,460348,344811,482218,683437,855272,-1,125052,-1,-1,643083,260492,81836,-1,-1,100302,-1,-1,726298,-1,346361,526045,843929,-1,35041,-1,-1,940227,35817,986609,-1,-1,-1,145622,-1,276127,889565,-1,843549,-1,609373,-1,-1,161943,29490,90661,60913,780130,762577,-1,394641,-1,926511,258849,-1,646516,-1,-1,932425,-1,-1,752231,352611,-1,-1,-1,241315,8161,171114,958673,498741,-1,740088,539083,509717,-1,950561,-1,486527,920396,-1,-1,827227,122425,217489,-1,675245,143575,-1,-1,-1,-1,767217,-1,673359,833261,291509,-1,656187,-1,-1,433217,621979,409273,-1,-1,643309,640946,-1,354601,343192,592489,-1,615821,-1,-1,-1,-1,-1,429141,840077,-1,-1,900516,-1,340147,-1,-1,800791,549435,156446,-1,-1,-1,-1,-1,-1,-1,-1,443954,-1,-1,749619,422463,-1,-1,693106,616661,-1,-1,122020,-1,-1,-1,62872,-1,-1,838901,-1,-1,316325,-1,723363,-1,331488,58683,-1,-1,-1,-1,800238,-1,-1,-1,-1,544901,-1,925012,307491,981140,434793,-1,290615,756542,-1,224045,-1,858623,-1,442081,-1,-1,531389,-1,654002,700837,-1,-1,189060,-1,13626,-1,-1,684351,-1,463373,-1,-1,773014,232906,881679,387440,-1,-1,-1,375874,103651,-1,464076,564089,831976,610969,-1,-1,337720,-1,-1,-1,-1,922764,959215,263015,-1,-1,-1,538947,945169,-1,15309,-1,19253,189066,-1,429151,-1,276396,-1,421217,191953,829116,22196,690786,299022,66645,439864,-1,94045,-1,691550,-1,-1,762958,613664,989251,-1,-1,-1,435387,-1,-1,837465,-1,-1,-1,-1,-1,-1,562192,956105,352131,659852,772531,673612,-1,-1,343394,-1,-1,520185,943693,119373,268951,268574,-1,-1,593622,-1,14055,-1,999174,-1,-1,152279,-1,863488,18683,-1,-1,-1,-1,-1,202605,311426,-1,-1,-1,193323,417443,-1,410473,-1,-1,-1,-1,24356,-1,-1,187845,-1,-1,-1,956822,-1,492317,637534,280594,349283,265178,363384,-1,412787,-1,579867,-1,-1,900991,-1,902064,974500,932076,625584,-1,942732,-1,-1,-1,-1,-1,120246,171392,-1,273138,530546,-1,879114,243516,-1,-1,246973,940622,67201,962104,-1,-1,880589,118416,193228,88087,-1,-1,845753,602079,705153,964247,-1,-1,161853,-1,-1,-1,924329,602534,662413,-1,630197,-1,580935,-1,948834,-1,-1,-1,965391,-1,-1,501568,418077,-1,675833,173920,-1,857713,-1,-1,-1,-1,580628,145653,-1,-1,-1,-1,-1,-1,92436,665252,-1,316129,715907,-1,140748,-1,-1,371314,737554,-1,-1,681878,-1,468039,999842,-1,781955,716088,-1,943756,840939,-1,-1,18867,-1,-1,-1,630164,-1,583664,-1,229962,-1,315085,857841,-1,-1,-1,921305,747172,501034,-1,-1,396180,-1,845139,850573,-1,115233,230970,401981,1987,-1,560436,-1,-1,-1,-1,340415,-1,-1,569202,-1,148493,843484,817338,-1,-1,816790,-1,919686,-1,261237,-1,-1,-1,-1,-1,924244,808906,641388,695392,583892,-1,-1,-1,574748,-1,27397,-1,120384,687458,-1,-1,770402,-1,-1,522569,-1,-1,180757,611691,-1,-1,313268,92399,-1,921065,68450,-1,-1,77874,896256,300688,-1,-1,-1,-1,-1,-1,59719,930460,527981,-1,-1,-1,529143,-1,-1,-1,-1,738310,663280,720737,-1,-1,-1,269060,-1,418475,-1,102208,483243,-1,-1,661440,-1,250642,-1,559548,-1,-1,318669,816226,-1,485451,582835,-1,-1,-1,-1,447022,-1,430766,-1,126859,606548,-1,45548,-1,348144,-1,366690,784101,99104,529250,14171,-1,-1,-1,-1,930269,794486,875255,914921,-1,-1,100092,198721,860672,337420,-1,643970,99308,30078,34668,101924,-1,-1,902461,-1,-1,-1,138173,186916,545793,-1,-1,26011,73090,-1,-1,600684,-1,394247,572349,116297,330351,-1,-1,-1,-1,-1,192197,-1,563396,884260,-1,762588,-1,120724,-1,-1,896374,738978,-1,-1,659930,-1,949616,-1,-1,-1,-1,-1,532892,181327,-1,287407,-1,-1,-1,-1,-1,-1,-1,205051,456098,440166,595711,-1,626594,449435,138301,197978,387741,-1,-1,-1,-1,922632,881630,147980,-1,-1,-1,312469,-1,-1,-1,-1,489809,50510,-1,181892,-1,812530,-1,-1,74878,-1,-1,-1,46982,-1,-1,361945,843164,-1,-1,895169,-1,-1,141872,-1,-1,137348,952433,-1,729080,-1,511301,-1,-1,25567,805578,759444,-1,81023,238560,52752,-1,165571,711518,625019,684639,-1,552696,-1,898452,726219,-1,-1,-1,-1,-1,509755,829388,96391,-1,737580,671668,468411,522078,986562,-1,-1,113345,-1,-1,89245,-1,556007,120678,742383,556113,519482,807560,510807,293815,209828,-1,-1,361920,-1,-1,-1,-1,848548,566518,741073,950076,-1,553007,-1,670102,-1,873051,718872,218581,772773,-1,-1,878765,-1,790917,-1,-1,238957,650291,36167,-1,954222,-1,103366,-1,210171,-1,114726,977304,446020,-1,-1,420040,-1,-1,-1,-1,-1,802075,-1,259174,-1,-1,635384,996362,37186,-1,786454,-1,-1,-1,-1,-1,878535,679713,717710,-1,-1,-1,-1,555041,416822,-1,-1,-1,731938,-1,94724,-1,-1,-1,113172,-1,856577,221983,-1,-1,751540,229634,-1,-1,-1,17485,-1,-1,-1,904851,433383,782193,-1,207984,235737,-1,790310,337573,-1,270256,-1,806170,-1,-1,24876,-1,-1,139598,-1,-1,-1,548546,-1,-1,300565,494061,107985,33638,85526,-1,-1,965511,48791,119176,-1,462249,-1,-1,-1,-1,364633,-1,186609,203757,741045,-1,-1,114477,835723,860384,-1,-1,457162,808024,199317,841152,-1,253895,-1,-1,-1,605419,-1,280699,-1,-1,255860,584665,-1,960802,301515,877273,-1,-1,354679,685081,873157,-1,-1,240431,-1,41505,-1,-1,-1,302993,71115,-1,579663,650858,719320,-1,-1,164761,551532,-1,-1,4252,-1,26065,-1,-1,455060,372410,-1,-1,-1,-1,346175,209979,450478,-1,4728,673167,94185,917961,-1,397425,-1,464253,191520,810585,741690,574507,697919,-1,-1,463577,-1,-1,637579,626655,-1,-1,-1,-1,-1,-1,175918,515436,714483,983193,909886,-1,893904,242138,785380,223585,-1,-1,-1,-1,644610,772960,325634,715519,634888,724976,640745,-1,-1,-1,-1,568320,192729,35358,238597,-1,-1,106006,264478,423674,-1,579052,889304,570960,674271,484991,504535,943367,322797,259867,471450,329738,-1,709134,-1,-1,850664,863856,-1,-1,-1,608156,-1,977203,117340,-1,-1,-1,810899,39229,-1,236569,-1,195740,93229,-1,636813,316823,-1,-1,-1,275716,519372,-1,834298,-1,-1,-1,821937,-1,849757,-1,-1,-1,-1,917545,-1,-1,762106,-1,212390,201700,-1,-1,937443,-1,-1,-1,859133,264665,3656,252173,229126,357573,15337,888593,42846,710428,960339,-1,-1,-1,909355,-1,994421,663150,409945,297546,139738,-1,731300,-1,-1,946597,364597,-1,704632,246993,526133,92211,476727,235605,-1,311560,971942,-1,-1,468232,794228,-1,-1,-1,-1,-1,-1,-1,243033,-1,-1,772719,924529,-1,111940,490111,-1,835750,-1,793498,-1,687266,243993,300260,547929,175982,670685,508165,-1,-1,896177,-1,307849,-1,875491,483190,-1,-1,492168,721840,94606,-1,-1,887565,-1,764568,972853,-1,-1,-1,-1,-1,-1,394337,-1,-1,-1,348283,-1,-1,867935,-1,-1,-1,418832,-1,183395,-1,884076,723719,324045,-1,-1,-1,-1,-1,-1,-1,413597,-1,498134,-1,287289,-1,430917,-1,-1,972800,357811,261272,-1,-1,-1,953348,-1,-1,-1,-1,465959,665892,-1,180303,932172,924912,759189,-1,96761,-1,-1,499351,351795,-1,874550,-1,620188,-1,-1,216889,-1,-1,345122,-1,-1,277674,-1,572318,-1,-1,218692,254277,-1,920313,-1,-1,462524,612356,-1,-1,-1,-1,94833,766623,797165,-1,505834,336466,505848,847141,-1,-1,883023,-1,330505,-1,795055,-1,-1,802681,876262,14156,498413,-1,279222,-1,794383,-1,-1,-1,281578,-1,-1,415271,220979,252306,-1,931034,-1,-1,-1,384936,916575,-1,-1,-1,-1,-1,627093,-1,-1,-1,-1,-1,650299,878351,-1,890326,555473,-1,467380,70701,-1,647368,-1,635444,-1,-1,395765,-1,182859,-1,-1,-1,158426,-1,719351,241173,651645,-1,-1,497781,-1,-1,-1,401886,-1,-1,846635,320615,786418,607185,7193,-1,-1,96992,463610,478101,-1,-1,-1,736702,694015,-1,369913,647482,-1,-1,-1,-1,-1,-1,598318,-1,842623,848714,-1,187482,-1,-1,570381,-1,626606,762489,-1,-1,-1,172996,566641,610414,894574,950275,636261,843221,-1,-1,318439,-1,154393,796266,-1,910374,379611,37681,-1,861666,419279,579126,927406,346914,877593,-1,435779,984694,37025,618968,-1,-1,416082,27683,-1,954962,377609,-1,428171,-1,549896,-1,-1,-1,530398,163980,-1,-1,966277,69500,331146,-1,323558,-1,91591,206554,916494,-1,966478,-1,-1,-1,958040,-1,342467,403304,-1,-1,584231,-1,860236,197676,609506,892866,578646,-1,-1,-1,-1,508533,-1,247592,149288,-1,-1,482438,785044,184971,-1,615344,-1,-1,149228,-1,164670,-1,883640,659968,-1,-1,-1,650246,410670,-1,662185,790974,-1,369750,-1,634101,-1,-1,-1,189498,773380,208412,898097,678345,-1,892638,147763,937944,-1,440199,796918,334841,440605,166137,622062,-1,545340,321753,-1,846518,-1,-1,93143,854760,-1,-1,292567,979626,-1,116057,385368,-1,-1,38670,133754,-1,726217,514289,40357,233219,-1,-1,-1,-1,740245,-1,103242,-1,-1,-1,-1,-1,524683,954385,-1,933940,-1,-1,620177,-1,-1,-1,-1,-1,-1,844323,-1,-1,563790,-1,618402,-1,368473,130656,-1,893113,286997,533220,-1,-1,834807,784740,30240,-1,836050,-1,935618,-1,-1,-1,104089,195359,-1,373704,-1,268570,-1,816617,573508,-1,-1,704642,376056,-1,766890,796958,849764,536673,-1,909480,61690,-1,-1,509800,153290,-1,-1,-1,-1,-1,-1,140915,-1,-1,-1,191550,144599,659899,103112,-1,-1,538212,-1,174206,-1,378115,-1,444910,-1,468036,216134,-1,-1,153810,312377,-1,-1,-1,927233,-1,524409,-1,-1,131218,217748,753171,402385,383952,-1,-1,702552,-1,-1,133525,-1,-1,-1,925842,285508,340797,295734,716539,904341,-1,56215,-1,-1,176405,720219,-1,245934,-1,-1,-1,-1,191125,17133,305878,182662,758017,91396,103043,622307,421921,-1,-1,428804,566459,-1,-1,-1,-1,-1,592327,298868,-1,-1,-1,913867,158029,547155,-1,-1,-1,422642,-1,-1,-1,-1,-1,255891,256263,-1,-1,-1,-1,668048,957579,-1,605557,-1,896,4813,-1,577523,-1,-1,125927,-1,739744,-1,-1,231041,-1,-1,-1,-1,-1,-1,-1,-1,373848,-1,-1,669781,109949,133534,308236,702479,506050,600999,474851,-1,487555,906814,946701,-1,540030,-1,-1,430860,20013,211231,787819,-1,238929,800851,795832,251962,964467,-1,-1,609445,598570,171809,40255,143984,614285,-1,859295,192673,-1,172683,194176,-1,576146,-1,585505,-1,475495,926388,-1,944409,5603,351083,-1,768701,-1,959516,-1,828890,-1,455854,667526,793517,-1,49379,-1,-1,-1,-1,-1,-1,96045,674139,-1,-1,-1,770958,-1,-1,519214,-1,-1,-1,-1,-1,-1,510661,629847,-1,-1,-1,-1,4259,596975,-1,-1,612215,-1,782631,-1,645230,-1,76300,157628,762925,672916,-1,660004,-1,-1,-1,-1,768019,-1,-1,571154,668561,187776,406454,-1,778172,-1,405610,915888,150242,-1,-1,-1,628595,466726,-1,-1,-1,779559,-1,-1,-1,562117,28384,-1,41440,-1,84242,-1,889768,787665,395882,55222,198999,-1,-1,179935,-1,86073,100389,-1,974360,687880,751650,791430,745661,433629,-1,360153,-1,658038,-1,-1,31098,-1,404901,668189,344812,-1,-1,116923,981253,-1,-1,-1,893567,-1,-1,-1,-1,487318,-1,-1,964457,699733,-1,-1,864738,469187,-1,-1,975459,124690,636190,-1,817068,102092,-1,345239,95032,-1,-1,-1,-1,-1,665427,-1,624508,570469,598943,523413,32192,232003,958507,-1,-1,-1,374401,-1,-1,-1,-1,-1,-1,-1,412023,338844,433032,-1,-1,248985,-1,599016,-1,-1,-1,-1,491417,-1,-1,-1,380303,-1,-1,-1,159379,43400,832924,-1,-1,331839,-1,-1,409661,786890,-1,528122,922711,-1,708845,-1,-1,-1,971105,208962,778563,724857,985174,4446,-1,590272,810656,936171,-1,705141,-1,-1,-1,397115,-1,-1,-1,-1,802488,-1,-1,-1,585638,93640,315817,864019,-1,-1,940425,835292,112620,-1,-1,-1,-1,875581,788415,774741,904507,-1,-1,-1,469541,42663,-1,-1,74946,640069,401906,542425,784263,456600,635836,610603,-1,229340,977024,-1,-1,-1,132216,537107,-1,491255,737848,651584,-1,-1,-1,-1,-1,-1,-1,425773,831581,424739,-1,631171,261589,-1,-1,93977,-1,-1,-1,223097,750007,294968,636128,-1,-1,671488,510752,-1,433036,161383,-1,-1,264588,-1,-1,-1,-1,360158,-1,-1,911988,-1,551993,789542,-1,-1,557186,779802,-1,139289,204107,-1,248539,-1,-1,-1,-1,735600,-1,956856,118589,734621,-1,531630,933504,-1,-1,261198,-1,98009,832686,934831,-1,600369,146365,-1,686636,-1,-1,290194,-1,-1,-1,706838,63804,-1,345386,988442,-1,730293,177744,-1,-1,-1,496068,535129,383931,-1,-1,-1,611541,80812,-1,-1,-1,736007,-1,88972,726491,829492,-1,971018,-1,257506,54689,-1,165398,-1,420003,-1,-1,-1,140245,868810,845174,6827,320792,-1,-1,48157,368190,482452,514315,203839,-1,-1,161843,970956,303512,-1,324278,929083,700511,-1,858528,512943,-1,295105,271408,224342,-1,-1,973885,-1,-1,-1,524169,977209,149140,-1,-1,816874,-1,-1,680083,160364,-1,828211,-1,-1,958762,707671,-1,801202,242774,468723,-1,372516,-1,879923,-1,102801,-1,489838,536662,8384,-1,930980,-1,-1,-1,-1,607596,-1,30844,208474,614035,-1,602734,-1,208766,109500,-1,-1,-1,-1,115551,7035,917350,-1,615400,426606,89618,-1,-1,863154,-1,-1,861724,58546,614367,-1,239414,-1,-1,-1,26545,76365,444512,-1,-1,-1,778234,150471,461156,-1,245588,-1,-1,-1,285336,-1,563136,-1,978909,760429,195026,-1,-1,178692,337844,393725,-1,168986,543693,-1,960005,370035,-1,104160,-1,281954,924825,-1,232310,-1,735973,-1,489692,-1,-1,-1,-1,-1,-1,-1,-1,538986,-1,-1,649165,267509,955889,-1,-1,-1,698368,12343,-1,-1,-1,-1,217744,-1,-1,-1,172719,133876,-1,-1,-1,-1,-1,382189,249578,789074,-1,-1,-1,-1,-1,398643,466032,466813,-1,767155,317470,741148,862027,691269,499662,560974,-1,-1,-1,652684,-1,601015,695282,-1,623932,783331,-1,-1,-1,707463,-1,471496,451691,-1,570660,706118,153855,487753,369500,413250,152917,994201,-1,-1,-1,-1,22675,7355,57017,886208,564774,609458,606770,656731,-1,755377,-1,443671,619994,173619,-1,-1,819187,-1,-1,500399,532577,614280,187065,-1,-1,-1,245147,-1,-1,-1,-1,581082,31033,145834,-1,-1,-1,506335,-1,982425,-1,90804,822245,-1,-1,-1,738561,276294,699188,984106,346996,98101,-1,-1,816935,967038,-1,-1,-1,165838,331280,-1,-1,-1,-1,36259,449274,-1,798596,913414,-1,324811,929588,-1,474546,-1,273066,780416,953100,-1,-1,827145,592485,673162,434806,892759,-1,-1,-1,334834,552490,213097,-1,-1,-1,-1,-1,208642,345857,-1,60820,-1,-1,-1,258292,892388,829543,-1,-1,95938,671077,245878,325243,267231,392753,653472,-1,419645,-1,391407,-1,-1,-1,-1,-1,407714,476255,-1,970850,-1,-1,-1,-1,-1,-1,863893,-1,243054,-1,-1,580911,-1,-1,-1,-1,97120,800945,424556,854972,-1,-1,-1,-1,878543,-1,452622,283699,-1,-1,457569,-1,52129,280467,-1,-1,-1,424809,683885,-1,-1,-1,303602,-1,-1,800900,520924,310766,-1,937598,460530,619400,566281,-1,-1,157202,-1,-1,821608,740575,347371,104842,529509,-1,-1,559556,989492,655740,970085,-1,-1,34964,-1,783326,-1,556080,-1,-1,-1,-1,311090,-1,395696,189466,594302,-1,380329,890071,-1,-1,-1,167087,-1,164076,-1,868959,507834,-1,-1,831057,-1,-1,326563,447477,542092,928270,144804,943858,77848,467121,557327,786448,-1,416788,755916,393558,607324,-1,509410,202494,742579,-1,-1,426509,-1,-1,787922,-1,-1,849428,359449,990032,-1,791112,-1,901228,-1,534862,-1,-1,787509,373907,-1,829547,791411,-1,-1,-1,881545,-1,-1,-1,-1,-1,426100,766142,445040,983576,403334,939794,656709,-1,-1,518569,441891,-1,277993,138779,-1,826067,503359,529692,54443,-1,633084,73475,-1,844160,581444,-1,-1,403633,-1,-1,-1,-1,203352,-1,744619,-1,901989,27885,-1,-1,847761,553476,891130,-1,306816,-1,-1,-1,-1,-1,636797,969668,-1,570396,-1,-1,-1,110158,-1,105031,-1,-1,-1,589260,499735,-1,296531,-1,-1,-1,896478,-1,-1,288270,229058,438249,569884,-1,216640,406968,-1,-1,-1,696616,-1,-1,581449,47995,-1,-1,298361,-1,-1,618380,-1,653321,343712,300780,186935,532358,46400,525492,459689,727203,389354,-1,-1,129848,-1,-1,-1,385502,-1,-1,6949,754133,-1,774659,876483,156215,-1,803567,-1,112178,108122,-1,-1,66084,-1,372729,599505,703384,-1,854474,-1,977246,553101,-1,-1,-1,-1,-1,952745,506450,929529,-1,-1,4250,720245,560893,853350,-1,43388,-1,272477,564645,128724,235767,-1,697155,310887,-1,444285,-1,909117,-1,799383,-1,134755,-1,40664,996490,-1,-1,759114,-1,-1,863739,-1,-1,378446,78753,-1,-1,516528,505888,-1,-1,-1,905257,-1,456682,-1,947033,831264,217159,50113,-1,-1,541448,-1,928646,721181,370009,-1,-1,26480,-1,-1,-1,632234,372054,-1,722300,58086,888251,491645,98563,-1,-1,92930,587710,-1,-1,-1,329963,293544,-1,-1,-1,536558,988225,-1,75306,862692,994486,846247,820047,-1,-1,-1,612642,916087,770441,533760,-1,412213,466512,270860,404005,322796,-1,-1,229604,88591,549736,-1,-1,938118,892994,183095,-1,863571,-1,335129,-1,-1,-1,-1,309027,687872,384861,506820,-1,102483,-1,589223,-1,321873,-1,-1,-1,-1,-1,833643,806015,16000,424239,792030,-1,-1,-1,-1,895134,496540,-1,-1,856885,-1,-1,-1,6064,311454,846146,-1,-1,-1,-1,246930,-1,83015,-1,740953,68089,-1,-1,995540,394087,305761,802042,750828,-1,-1,-1,-1,897284,571514,-1,436930,766378,430974,-1,640072,-1,-1,-1,200809,660487,412012,-1,407632,805302,652702,-1,-1,-1,-1,-1,-1,-1,-1,595498,570666,-1,156651,479186,182113,648689,135912,395308,-1,447058,-1,-1,886559,-1,-1,-1,-1,452843,-1,-1,-1,-1,114322,188339,771911,293612,-1,-1,697007,-1,-1,671628,943845,215865,326644,-1,829787,-1,678639,96726,-1,-1,-1,-1,-1,-1,791475,757293,766356,-1,-1,-1,271379,-1,-1,-1,635499,600548,-1,584496,-1,-1,68385,635385,107201,-1,514054,127512,88218,-1,-1,407396,935695,-1,-1,579152,815482,496138,438702,-1,97254,-1,129168,-1,-1,101007,369227,-1,724878,-1,-1,223005,-1,816644,712627,361049,654095,-1,-1,974683,-1,681845,-1,-1,25021,-1,-1,903139,494499,-1,787233,-1,-1,501821,-1,426348,-1,-1,134016,16328,-1,-1,-1,71532,526345,947862,-1,906713,-1,161008,-1,987838,853019,-1,-1,503363,-1,454205,724787,484962,390360,-1,989606,942466,-1,628223,-1,462143,555901,914434,-1,-1,-1,680531,-1,-1,669890,-1,-1,-1,-1,-1,401803,-1,-1,441890,-1,488528,770145,-1,17529,-1,626302,979495,277390,460881,-1,-1,915548,275430,820390,-1,806763,33517,743966,958235,543277,-1,-1,697769,-1,-1,741982,-1,651466,-1,100397,-1,79783,-1,823798,-1,-1,537708,685156,-1,173465,24832,-1,-1,-1,-1,123075,-1,941405,-1,-1,83482,437639,-1,626071,750888,-1,732315,209055,-1,141942,-1,690908,-1,-1,-1,517155,251848,851390,520362,-1,727312,-1,-1,615608,350941,200273,602985,-1,-1,923141,978753,364257,764117,-1,581768,-1,834485,327574,-1,-1,85283,-1,483416,990105,-1,614048,526334,539634,230126,-1,573847,890181,-1,307023,472873,-1,339899,157080,471136,-1,424516,484088,73695,809272,-1,-1,-1,604510,-1,783489,77145,400907,237470,167826,-1,-1,-1,291271,-1,-1,-1,980433,667120,-1,733148,-1,-1,493385,-1,-1,856634,-1,-1,750325,838118,-1,-1,-1,-1,90006,-1,-1,-1,898825,-1,-1,986623,-1,-1,980258,457006,625402,-1,496945,459311,231599,-1,-1,-1,100741,-1,-1,-1,772539,-1,-1,774224,-1,-1,-1,-1,-1,667845,-1,656297,931582,-1,922462,-1,59205,-1,-1,762836,927503,414276,283014,-1,300018,563487,67118,583724,156245,264565,-1,999807,-1,-1,-1,-1,-1,717100,733194,-1,-1,-1,-1,948103,940164,-1,631299,435211,-1,-1,874277,616144,419797,-1,-1,-1,376389,-1,-1,-1,-1,649517,-1,788490,-1,-1,965503,697562,28470,-1,-1,-1,188586,-1,34847,258687,950020,-1,309839,-1,862308,336795,-1,236658,86355,-1,-1,-1,704184,-1,373299,175026,-1,-1,861036,-1,528063,-1,356651,-1,-1,402221,189367,202003,560581,365576,-1,275597,901924,249627,-1,-1,-1,-1,94773,876053,711339,7557,-1,213918,-1,640402,914825,-1,-1,-1,904248,911318,-1,607496,-1,-1,839218,679641,-1,-1,-1,92457,-1,-1,654979,701263,741554,862914,995895,901070,-1,948622,-1,-1,675402,641828,267499,679072,732234,-1,-1,-1,-1,106040,358360,-1,321541,381921,-1,-1,-1,257671,466461,-1,246359,-1,941084,-1,246992,371049,89734,994874,-1,-1,-1,853924,-1,980324,-1,-1,695772,280217,185051,-1,870724,956426,-1,418817,-1,527720,-1,858081,-1,-1,191695,472767,-1,19959,-1,838487,998055,-1,117454,918153,967572,-1,-1,-1,-1,-1,-1,714408,-1,-1,-1,-1,-1,910222,-1,-1,-1,-1,636284,526227,920951,-1,613704,-1,-1,548440,-1,998763,-1,-1,-1,849141,229159,488570,-1,700116,511175,254884,-1,722937,466258,156372,-1,-1,191831,15520,-1,275687,351697,55602,903313,-1,314766,159702,407976,62876,848370,-1,22384,636999,-1,734949,334015,519829,77672,1104,-1,92861,932760,-1,-1,453021,13173,-1,-1,927128,563982,-1,44760,-1,922044,-1,-1,811521,433886,-1,494528,-1,66238,-1,600431,-1,841611,-1,517387,649279,-1,-1,-1,-1,502045,813565,134080,249813,-1,-1,-1,-1,-1,-1,-1,330382,-1,192090,673409,-1,765518,-1,-1,-1,-1,958165,503054,-1,-1,630522,216061,55615,-1,574792,617506,762159,350314,172650,690630,259970,484163,224072,-1,451281,342688,95512,406993,863886,-1,884153,-1,-1,892836,-1,-1,90176,-1,-1,-1,-1,391577,411729,612253,621772,-1,-1,-1,964831,-1,-1,189901,249459,881958,488760,430895,595101,-1,731215,508778,895076,256625,-1,-1,252591,-1,810800,691523,-1,-1,244320,-1,820350,635018,429724,-1,45059,-1,952985,117885,-1,-1,785155,199497,406580,-1,-1,335737,-1,-1,-1,206440,-1,802619,84556,-1,-1,-1,664410,732320,510063,-1,19493,-1,-1,477348,284059,778826,857907,-1,267686,-1,-1,620842,397987,-1,780946,-1,67358,94610,553296,-1,542286,454398,-1,683751,-1,-1,880937,844355,-1,498532,191819,202345,642759,-1,917908,-1,-1,-1,-1,-1,554956,209563,-1,-1,333129,-1,802207,329700,900495,-1,-1,365694,989222,-1,939137,-1,-1,-1,194633,-1,-1,-1,314361,237381,192195,868593,-1,-1,733522,267182,169377,825295,-1,696479,390414,-1,109489,-1,-1,-1,660802,234644,478731,-1,866017,4712,-1,-1,-1,-1,-1,-1,-1,939815,-1,-1,-1,-1,520888,-1,226944,-1,232912,91445,-1,-1,-1,703297,301610,-1,858154,-1,733868,247777,612584,264407,-1,-1,-1,185743,-1,-1,-1,-1,293987,428974,-1,597285,909860,-1,-1,441604,-1,-1,902641,139115,241507,-1,-1,-1,853377,-1,799738,649806,316847,-1,-1,-1,-1,971518,-1,176203,-1,844476,418875,-1,-1,375445,288240,930897,-1,142392,256363,-1,825935,-1,-1,-1,294339,-1,130355,958152,-1,-1,352154,310832,-1,-1,217493,199701,390815,-1,-1,324323,818692,-1,389634,44003,176364,-1,-1,691553,-1,-1,-1,944128,856516,844968,-1,427179,-1,-1,-1,369261,-1,323154,943953,85221,950482,-1,851658,-1,740350,-1,914381,124663,-1,-1,-1,586613,471219,143486,-1,-1,444985,-1,-1,337079,-1,-1,-1,129194,-1,23670,-1,231245,969776,843713,-1,-1,-1,-1,-1,640941,437268,280435,552829,20210,-1,-1,-1,81409,559938,320261,930805,-1,99899,-1,730306,18412,57385,-1,-1,628622,-1,443108,642799,424544,28587,96062,974180,-1,273267,-1,185455,-1,-1,603232,-1,-1,27650,478240,490604,480170,-1,788953,-1,-1,879496,-1,-1,-1,321849,107773,-1,473578,-1,768968,89472,679152,-1,964971,-1,-1,-1,36644,-1,-1,-1,705906,118947,-1,791719,-1,-1,-1,-1,489066,742865,-1,817784,523950,-1,532906,-1,-1,193564,-1,-1,123678,-1,-1,177289,-1,410539,-1,264706,355615,-1,53887,-1,638676,-1,377107,279809,-1,313766,-1,-1,-1,320472,682208,359021,-1,753524,365338,-1,-1,730264,-1,-1,752529,672490,-1,665536,178742,592692,-1,-1,-1,-1,-1,939799,203150,-1,645973,831555,-1,-1,-1,-1,559612,-1,801287,276462,-1,31360,425642,797198,-1,680709,526586,505640,-1,296619,139334,-1,414760,-1,-1,173698,-1,-1,867676,-1,566002,556169,887429,-1,351266,-1,-1,713806,397134,11052,667920,-1,-1,971502,-1,462836,165377,-1,-1,-1,48302,17564,190797,-1,-1,17977,793536,218442,-1,632647,-1,-1,-1,654899,-1,59505,-1,169373,428271,58512,-1,-1,134689,-1,-1,-1,-1,559427,157466,259285,128548,-1,808691,711503,-1,7080,-1,-1,-1,907338,-1,-1,-1,732942,-1,-1,-1,-1,462551,225658,423735,765014,-1,733939,158823,-1,282588,760235,851437,-1,406650,-1,482304,-1,905299,462534,379826,-1,209851,456462,-1,-1,844630,-1,372463,-1,-1,391899,749206,-1,437366,-1,316352,79606,-1,-1,42198,-1,-1,-1,-1,-1,764944,-1,-1,259603,-1,885486,412890,-1,286353,100659,267965,-1,247881,-1,512511,745481,750354,566542,910297,-1,932011,-1,-1,-1,394200,-1,-1,845992,372673,722670,-1,59352,-1,-1,-1,519677,-1,-1,583975,554538,-1,904518,-1,839181,615729,-1,929734,-1,305959,-1,382713,-1,919838,-1,-1,-1,-1,896086,-1,338342,-1,828070,-1,932298,228006,-1,769893,-1,-1,-1,-1,-1,-1,228133,367787,-1,223173,-1,-1,21424,-1,-1,-1,766480,-1,74972,896938,-1,-1,-1,951126,-1,-1,601341,48923,768525,-1,653613,-1,87791,281102,649365,425419,-1,679391,-1,333260,156047,317740,-1,-1,-1,298011,-1,735896,-1,-1,911055,-1,-1,-1,-1,-1,299023,-1,-1,-1,267733,-1,139511,918022,-1,554504,180123,-1,-1,879044,-1,127658,-1,-1,611435,-1,202088,-1,-1,87472,-1,683162,-1,801416,-1,-1,397657,85209,759414,881012,-1,372821,859329,625316,358269,-1,295845,-1,-1,902507,683028,792790,495955,289367,-1,389427,791672,-1,405123,-1,-1,-1,501807,-1,761797,855452,-1,-1,230739,969691,232343,-1,39216,110557,299036,481198,212762,113827,-1,-1,-1,-1,-1,741095,808666,-1,-1,405183,563448,-1,423756,-1,-1,875878,-1,-1,363510,931457,41884,393128,-1,-1,522597,-1,852971,-1,87026,-1,-1,-1,330999,-1,991393,261426,102315,906623,-1,-1,-1,-1,739427,-1,550397,-1,-1,163063,375556,-1,-1,-1,502237,93641,11498,-1,-1,-1,-1,-1,476290,406049,526253,-1,-1,-1,-1,-1,-1,-1,443550,-1,414082,-1,373030,-1,121063,748580,689063,-1,-1,-1,-1,-1,518159,91382,-1,45679,300770,-1,935715,-1,-1,-1,-1,-1,-1,305211,435382,-1,707064,898990,-1,-1,-1,729821,179550,-1,-1,-1,-1,-1,987650,-1,-1,-1,906532,-1,-1,-1,697015,983430,87034,798011,35133,-1,227427,832375,-1,-1,-1,-1,804044,639444,49026,533750,39786,-1,656166,644756,314750,-1,989182,-1,345644,-1,139282,376881,782282,347589,-1,477406,-1,424953,881175,-1,219502,18119,-1,203550,683399,43541,-1,789218,-1,-1,247661,-1,-1,-1,770176,822764,490838,916725,-1,-1,-1,-1,-1,-1,985,833267,-1,-1,633336,-1,-1,-1,112098,-1,642948,270451,858221,346612,200430,-1,130668,416066,726536,-1,-1,-1,-1,-1,992235,-1,310932,-1,-1,-1,-1,895878,715488,188087,-1,-1,939266,-1,-1,-1,-1,-1,-1,852340,-1,826405,85519,456258,217166,-1,19664,-1,-1,-1,-1,636968,142241,509764,-1,-1,-1,577685,-1,-1,39018,126250,269521,-1,82646,620410,-1,-1,-1,-1,-1,-1,784140,-1,-1,-1,-1,882763,935593,-1,-1,487945,362993,-1,229773,-1,-1,698083,-1,982746,-1,-1,-1,54579,-1,-1,865079,-1,693004,-1,79380,82266,69957,86055,544757,953826,66680,-1,320041,-1,-1,343551,-1,377883,-1,-1,-1,983228,13114,301951,950976,691264,193528,362108,-1,-1,-1,860249,850137,-1,301048,-1,775783,-1,-1,-1,-1,568276,-1,-1,-1,871547,-1,-1,-1,59568,-1,-1,353924,776147,-1,129106,759073,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,649016,-1,747858,479606,615827,964900,-1,-1,-1,473022,-1,703638,-1,170136,565915,-1,-1,-1,-1,-1,-1,-1,566774,873188,-1,-1,-1,296686,-1,-1,276003,-1,-1,337640,-1,55307,272661,-1,-1,571357,764209,462905,631407,700487,-1,-1,445465,-1,729185,123861,-1,532078,-1,357171,731335,719009,-1,-1,278391,742530,175447,165984,-1,54009,402225,850610,959417,956228,-1,-1,-1,-1,-1,-1,-1,-1,578735,-1,-1,455757,-1,-1,-1,264560,-1,-1,638722,802581,914586,-1,-1,533708,-1,-1,-1,979024,959089,-1,412779,-1,-1,-1,-1,505900,4788,564094,-1,-1,-1,-1,602229,-1,-1,-1,674599,-1,-1,-1,460997,546878,757471,-1,879078,-1,859087,-1,-1,-1,-1,-1,-1,-1,374885,-1,-1,722859,810030,47362,-1,285497,-1,-1,171736,650148,-1,42993,147003,95628,-1,325715,261795,774291,506402,-1,-1,-1,-1,-1,-1,721660,140809,261511,697608,-1,967764,-1,345961,-1,123035,-1,-1,-1,385617,-1,-1,443692,306905,731188,195185,716418,943622,-1,608997,-1,-1,666075,-1,-1,-1,-1,718399,-1,763480,784735,770088,-1,258480,809068,522779,-1,46888,-1,-1,-1,115355,103381,443711,-1,466104,556285,993045,-1,106514,-1,-1,466669,893330,-1,817970,315767,-1,599924,609194,732195,-1,155669,-1,-1,-1,573710,813610,-1,-1,71189,805198,115420,401641,813723,38498,-1,429245,-1,-1,446606,-1,765912,743058,521528,619066,-1,-1,-1,100215,-1,-1,702073,-1,-1,715818,-1,904380,-1,-1,504356,642331,-1,783554,96477,-1,-1,-1,737270,-1,-1,621727,-1,869982,743721,-1,-1,-1,523580,133272,-1,-1,412860,-1,237968,-1,717395,703444,54610,-1,-1,-1,-1,641028,-1,-1,-1,-1,-1,472431,-1,356983,-1,336579,886507,-1,420434,517692,-1,-1,25042,-1,-1,-1,499095,563035,-1,-1,-1,557678,-1,-1,-1,654888,-1,-1,604561,747866,196519,629174,106633,-1,53026,593812,-1,-1,-1,-1,-1,-1,-1,422165,895142,-1,601049,903779,532938,935036,468165,-1,842282,973066,626742,430633,-1,-1,7237,465704,554876,-1,947129,505002,-1,-1,694435,641087,-1,-1,30267,226532,46699,620289,835261,-1,-1,269069,239979,622789,863638,735544,410303,222208,534621,-1,455480,-1,-1,-1,340117,896670,156008,-1,768480,290783,-1,-1,938155,634772,-1,759175,-1,-1,662342,-1,515334,-1,846209,-1,-1,-1,-1,-1,542853,-1,-1,-1,807951,544879,-1,526935,-1,18548,-1,48133,484886,284,-1,563415,-1,-1,-1,-1,-1,176406,170762,914448,-1,783660,-1,-1,27788,-1,-1,-1,144336,328138,927624,755820,23415,289380,-1,-1,-1,-1,679671,131862,-1,-1,236229,-1,-1,-1,737422,-1,617405,816918,-1,383044,486366,680715,169005,-1,123212,-1,-1,-1,328659,-1,795153,352157,-1,536053,-1,147363,-1,-1,-1,505050,618725,703727,-1,-1,382778,-1,309044,-1,-1,-1,410617,680014,243891,-1,-1,-1,987783,120949,-1,-1,214274,-1,928596,556810,-1,-1,963001,355696,-1,744838,630858,-1,596370,-1,126190,-1,626183,30352,-1,253733,-1,372693,416598,-1,-1,201421,-1,-1,387594,502529,-1,-1,-1,-1,-1,681317,423811,448000,304113,-1,985721,-1,-1,878595,-1,-1,707264,511479,-1,-1,312396,90346,881867,-1,914035,-1,-1,-1,563747,-1,279165,356756,703219,-1,705515,163100,-1,-1,-1,585599,-1,-1,-1,-1,-1,-1,976006,-1,-1,-1,524080,84275,-1,-1,241092,202745,644600,547619,208065,-1,781314,-1,-1,-1,-1,643098,971276,-1,-1,693311,-1,493552,-1,373317,-1,253196,-1,-1,-1,-1,-1,831024,642105,180558,934632,-1,227889,-1,838367,-1,872912,193427,-1,-1,-1,-1,940412,641778,-1,123015,-1,-1,-1,-1,328838,114940,218524,457999,-1,310,840798,-1,-1,-1,240750,962342,235381,-1,-1,468755,-1,424922,672232,-1,-1,-1,140274,-1,-1,-1,81406,-1,897288,209740,405401,-1,592439,712926,421979,-1,-1,-1,572690,-1,610973,238885,136397,308720,-1,799830,845136,-1,282820,770698,604266,-1,761595,924465,-1,310060,798464,-1,-1,-1,-1,-1,-1,111359,558835,788100,-1,835573,-1,581150,697278,-1,990232,-1,386839,-1,-1,954614,7566,-1,952707,488868,-1,-1,703601,-1,815076,810540,647671,-1,-1,58235,-1,-1,450449,-1,662968,388358,618492,159465,90173,-1,-1,115222,175820,-1,-1,-1,-1,-1,-1,247512,-1,411162,794460,-1,195495,201176,-1,-1,288436,549637,-1,-1,948695,-1,935053,76098,-1,666191,-1,-1,985106,476083,938077,347440,959412,550215,311326,-1,-1,337024,-1,-1,420519,-1,-1,-1,-1,149369,814953,605360,-1,-1,200951,-1,-1,-1,246127,222677,-1,-1,-1,-1,10696,-1,-1,-1,624431,318996,443110,-1,-1,230121,189496,-1,711671,-1,684720,308963,498914,617724,149742,623853,-1,-1,-1,-1,417731,-1,232159,459435,661617,603376,-1,-1,-1,348021,-1,721722,912029,684525,-1,184573,-1,294397,-1,972661,81035,-1,-1,-1,34679,-1,-1,-1,-1,308898,-1,80779,871525,407251,266586,-1,696104,-1,-1,120283,437714,-1,782439,949325,316266,225200,-1,252057,3814,602289,-1,-1,432229,-1,-1,-1,399821,851610,266953,872287,-1,779242,-1,-1,-1,-1,402123,89900,-1,-1,-1,400610,-1,408329,-1,353619,-1,20347,-1,204358,300234,-1,-1,-1,368213,-1,-1,-1,1189,-1,-1,-1,704340,-1,-1,-1,-1,-1,-1,-1,-1,838935,-1,330961,-1,-1,-1,349626,596960,334302,911273,124269,702355,251713,994510,-1,256846,889659,-1,679291,511033,-1,-1,-1,-1,-1,-1,-1,-1,304676,737348,-1,968083,-1,-1,-1,-1,-1,-1,736304,403762,408670,839559,-1,-1,80345,737645,180231,-1,230193,411816,-1,225361,-1,-1,814627,-1,-1,-1,-1,-1,-1,-1,650550,190091,-1,3753,-1,-1,680131,-1,-1,564017,750773,45442,-1,-1,98752,662117,-1,-1,359493,208048,914962,-1,483533,-1,-1,169270,-1,-1,-1,729590,-1,587081,-1,119771,-1,-1,-1,749160,603462,-1,-1,693327,-1,-1,-1,501210,-1,-1,74141,-1,429158,-1,661818,541555,466846,-1,98329,790660,505367,683302,502517,-1,-1,60024,-1,-1,255175,-1,755731,324290,-1,914065,-1,-1,-1,-1,952611,135381,-1,-1,222987,-1,-1,51923,-1,680704,690650,565957,-1,623975,-1,893558,558012,660576,-1,132089,372141,-1,-1,505543,135010,-1,787612,505646,-1,-1,229477,-1,300468,827263,464183,-1,-1,-1,-1,480453,-1,-1,-1,2192,-1,-1,331718,317675,491611,873683,-1,-1,-1,-1,715644,-1,-1,196413,711357,779594,743535,471693,452412,-1,-1,851285,-1,794635,55310,-1,-1,-1,-1,65625,278555,-1,410297,873992,-1,579822,-1,-1,17736,-1,-1,-1,84551,111065,-1,996936,499626,10449,-1,-1,-1,-1,-1,-1,294521,-1,283028,-1,-1,138418,-1,-1,-1,313,41658,-1,49494,659167,-1,920164,-1,-1,933352,-1,-1,-1,-1,959756,-1,-1,-1,560697,-1,-1,237639,-1,-1,402504,89760,15529,512128,635336,-1,-1,814233,-1,-1,624807,128069,-1,-1,46889,437479,684209,63872,277832,-1,748843,428367,353802,-1,-1,-1,-1,-1,249378,-1,82764,-1,-1,-1,-1,118088,931565,-1,-1,522821,-1,-1,-1,893011,295345,-1,-1,-1,-1,628173,815228,-1,-1,-1,-1,127191,-1,-1,-1,348682,557368,246910,-1,190452,377265,-1,-1,921134,133176,634843,-1,603750,617173,664081,-1,215829,778024,-1,984126,-1,-1,-1,495674,-1,444083,-1,-1,970300,-1,937742,677454,533293,-1,-1,-1,777682,-1,873443,936963,858429,-1,139907,-1,-1,-1,-1,640788,-1,-1,-1,-1,-1,945548,762500,838876,35262,-1,-1,5763,-1,241157,576750,-1,-1,-1,439524,-1,795202,226207,-1,612992,-1,291461,796233,228222,-1,201068,-1,701630,879465,629265,-1,725792,999258,858950,-1,783515,538660,-1,-1,-1,912662,-1,-1,904474,-1,69163,168474,837699,973271,-1,-1,934937,971341,-1,328424,-1,504278,-1,-1,-1,-1,389685,-1,-1,-1,-1,-1,-1,-1,441817,-1,499419,-1,684945,86458,-1,301106,619155,266013,342478,527463,566212,-1,622958,788238,-1,-1,-1,-1,626083,491504,275510,890300,929688,815629,-1,-1,330873,758130,450127,-1,623879,690114,257581,-1,-1,839597,-1,-1,410236,851665,-1,284625,-1,933742,106170,451824,-1,247532,138170,382390,-1,266267,-1,109246,-1,-1,702248,-1,905530,493535,384018,-1,-1,-1,596336,-1,178324,-1,-1,423449,304622,349725,184795,-1,404669,-1,210336,-1,624549,-1,-1,-1,-1,457960,951890,-1,-1,-1,-1,-1,171716,-1,909129,-1,381871,175043,186214,200529,-1,208583,-1,-1,465570,584368,892137,855421,890394,-1,-1,460644,195041,-1,432377,-1,-1,-1,782491,-1,-1,-1,-1,627013,-1,-1,-1,-1,580474,358372,279762,-1,-1,-1,787232,680080,-1,72587,-1,-1,-1,918666,14008,-1,-1,-1,-1,-1,253493,367891,-1,-1,-1,-1,274863,736966,-1,-1,-1,147510,291775,657584,-1,-1,-1,-1,306063,-1,-1,477595,753512,-1,824396,409965,-1,-1,-1,322857,-1,163183,206928,-1,-1,-1,-1,-1,966739,834618,-1,-1,-1,-1,564838,721463,19229,-1,-1,919559,522132,483605,60711,-1,880918,-1,-1,619050,-1,500594,-1,694956,-1,335746,-1,-1,344098,776567,-1,441441,-1,-1,940009,-1,450563,-1,-1,-1,993393,-1,-1,-1,641207,-1,-1,-1,-1,-1,442629,-1,-1,623800,-1,-1,-1,-1,-1,-1,601864,-1,-1,405284,954118,-1,860171,574230,-1,262242,-1,-1,881452,596135,-1,-1,-1,850991,199802,119232,-1,-1,561589,877356,243368,-1,-1,-1,-1,143288,-1,645334,816353,-1,219799,850698,-1,932318,-1,80684,-1,367678,-1,124334,-1,-1,-1,159788,-1,-1,589605,506322,-1,-1,-1,-1,-1,-1,-1,-1,316952,803580,-1,248165,-1,-1,-1,-1,765481,-1,-1,533583,-1,852268,-1,992523,367402,-1,874149,-1,-1,518092,-1,698263,-1,-1,597005,51381,-1,960473,662198,-1,-1,868028,-1,848907,221474,-1,-1,-1,-1,803883,184313,437624,561533,737808,-1,-1,739644,-1,-1,374265,-1,624047,-1,-1,665011,785270,849003,-1,620772,-1,-1,-1,-1,88808,-1,352500,909748,-1,25401,-1,153291,-1,-1,112111,860829,406257,30025,-1,-1,-1,-1,391978,-1,202189,-1,-1,94002,184557,702744,-1,159112,-1,250348,-1,-1,340584,-1,-1,-1,675413,372225,578157,716645,551866,-1,951094,856870,-1,980569,-1,466215,258932,401342,942635,139662,977025,-1,171345,-1,182419,-1,-1,-1,-1,40696,185325,-1,-1,890126,-1,157811,-1,-1,29011,331418,-1,383768,483658,-1,874022,877052,75457,-1,-1,-1,-1,-1,97732,901561,398752,-1,694154,-1,-1,714039,-1,593954,295378,-1,825035,331578,364042,-1,-1,312637,-1,-1,975061,805987,482908,-1,-1,-1,-1,714477,918640,-1,70099,166433,703764,-1,125768,-1,-1,-1,-1,-1,-1,-1,-1,264260,-1,-1,-1,317429,248446,347558,536579,472001,-1,62486,448607,881180,-1,628396,-1,706874,-1,-1,334784,726743,638451,554423,-1,561276,204483,-1,-1,-1,768462,-1,512734,383338,-1,-1,-1,-1,-1,-1,-1,142813,-1,680323,941119,-1,-1,-1,-1,-1,-1,-1,-1,-1,52661,-1,731401,-1,-1,872072,-1,-1,724669,360919,-1,927329,-1,-1,163204,-1,-1,492543,-1,232457,-1,631571,245460,616233,-1,97979,-1,569873,918870,8473,-1,309555,149782,7508,-1,388737,669565,-1,563286,281211,739702,346359,528644,-1,-1,545593,-1,365898,711772,-1,154636,-1,821122,-1,-1,906152,-1,-1,254744,161112,-1,136651,553865,63265,-1,-1,659310,-1,154618,527664,-1,391507,-1,-1,-1,343496,839656,-1,-1,10022,31179,187479,219676,242157,515026,-1,-1,-1,-1,-1,670645,366615,68475,647893,824081,618936,664231,-1,501015,-1,206883,-1,-1,259583,-1,338773,289005,436905,-1,717400,-1,-1,-1,-1,357551,362749,-1,935692,-1,-1,669705,-1,667910,-1,990456,-1,-1,671831,88992,207606,-1,971400,187522,797140,-1,-1,-1,-1,-1,-1,622202,422074,-1,-1,972183,-1,336968,-1,672555,717895,-1,572552,-1,-1,944546,-1,983306,473200,961449,-1,-1,330678,751797,-1,-1,-1,-1,338215,-1,-1,-1,-1,302782,185566,921049,353699,704110,-1,973300,836381,-1,-1,197838,221092,275357,437060,47473,-1,412755,-1,-1,-1,874082,184247,-1,-1,780759,453583,-1,-1,707096,-1,-1,-1,-1,-1,390509,-1,-1,239679,-1,-1,358587,-1,-1,-1,160388,288496,-1,373319,301093,865039,-1,-1,242224,106477,-1,-1,512270,882101,-1,115074,3800,499600,-1,699051,617447,-1,-1,-1,-1,939691,236680,-1,-1,899688,-1,622023,727780,616162,8770,-1,458464,672015,173670,-1,-1,-1,-1,-1,-1,-1,-1,-1,948671,-1,-1,92051,561654,896016,510062,-1,111191,305979,995367,510979,-1,-1,-1,429167,652761,-1,-1,388267,-1,-1,-1,411892,-1,85270,828818,926403,152997,184741,563544,-1,746301,627269,-1,-1,-1,-1,-1,-1,-1,777691,-1,73814,412230,-1,274321,381802,10558,943018,15714,-1,-1,842483,351651,60954,509448,555143,-1,492472,-1,-1,-1,-1,-1,-1,775629,-1,-1,-1,671843,404706,981288,-1,733644,580353,269190,301715,379048,-1,907077,995194,778328,633759,-1,-1,627768,85863,353398,-1,873601,-1,-1,-1,81728,-1,-1,-1,934433,725787,-1,999520,291298,61138,380587,-1,440471,811785,-1,483831,-1,-1,648337,77685,983406,602331,114033,-1,-1,643904,762167,-1,-1,605303,581139,-1,-1,-1,15473,-1,157919,-1,546306,900246,-1,-1,-1,347520,232818,-1,683541,-1,391524,260080,-1,-1,39520,795585,-1,-1,331660,-1,-1,139701,-1,461442,-1,-1,-1,265347,102476,-1,209857,168971,-1,335128,684015,986284,432882,-1,375501,-1,410250,321673,-1,823397,998562,643303,-1,-1,-1,900483,204980,-1,-1,-1,293773,326988,189427,-1,794020,-1,-1,889726,219312,693795,-1,156331,490119,-1,-1,698456,476439,48848,-1,993582,-1,576319,281937,-1,-1,464935,-1,457166,770585,-1,-1,458286,241465,-1,-1,412897,134323,-1,-1,361989,-1,-1,810518,725898,-1,411854,-1,455715,-1,202642,875563,109943,54939,-1,428943,-1,1396,-1,256827,207233,253638,444570,-1,-1,-1,339314,737227,364185,641007,182303,-1,-1,43885,759673,-1,397552,-1,-1,-1,436257,84219,767830,-1,482420,937590,97384,-1,506614,-1,-1,-1,300212,-1,611819,-1,96595,319297,-1,-1,-1,539710,289233,-1,-1,154978,90355,-1,-1,-1,-1,744582,-1,-1,-1,-1,325733,-1,-1,438853,991681,-1,3445,-1,-1,-1,876679,-1,942044,-1,681355,-1,-1,68469,-1,-1,108539,335622,502040,-1,-1,-1,295950,284851,170052,253903,209136,-1,158673,737668,-1,840221,23620,817199,-1,323409,-1,-1,-1,-1,495751,-1,-1,267051,-1,-1,131759,-1,934205,-1,-1,293563,687011,-1,-1,-1,130663,210589,447824,-1,-1,798373,301111,-1,-1,177073,207083,-1,-1,557698,-1,362045,-1,-1,280960,-1,-1,-1,-1,-1,333450,-1,-1,6553,-1,-1,-1,858748,-1,-1,-1,-1,865206,-1,595307,-1,307857,-1,912272,-1,23912,-1,131973,42814,-1,-1,-1,211124,17035,441688,699585,703589,331709,-1,275771,-1,158466,-1,-1,359121,197320,102401,-1,-1,796653,-1,-1,-1,-1,439055,283495,877225,-1,49897,313780,-1,738628,795748,774406,-1,406710,181595,-1,-1,854347,-1,975650,-1,-1,724877,-1,662115,79253,-1,88692,7329,-1,-1,-1,-1,-1,937187,410386,-1,-1,-1,232476,108732,803942,359167,111311,612919,-1,441175,300478,647128,877943,-1,659385,75260,-1,92961,-1,-1,-1,-1,-1,-1,965922,-1,-1,-1,136657,-1,472971,527536,-1,-1,-1,-1,273367,-1,-1,-1,-1,-1,-1,978185,-1,253966,770190,-1,-1,-1,-1,366929,588304,614963,800336,785595,667387,-1,-1,506352,661801,73044,-1,200110,164068,357205,415913,597073,702732,396931,264336,500145,-1,90167,-1,927045,-1,-1,-1,-1,-1,460242,-1,684613,-1,-1,-1,-1,-1,-1,333276,198233,38841,-1,3992,-1,250237,697879,603187,-1,827339,-1,-1,262937,-1,-1,-1,-1,-1,161893,-1,-1,-1,-1,-1,167614,488607,-1,987052,-1,-1,-1,-1,443297,966356,207692,243300,-1,691011,242309,-1,-1,-1,881600,968664,-1,-1,-1,-1,-1,100704,320445,398463,886457,616225,-1,-1,355264,467479,198944,41316,-1,-1,-1,538320,-1,-1,333658,345364,-1,646647,364329,-1,805669,15374,513324,195431,625704,275904,-1,241834,-1,-1,-1,-1,-1,-1,-1,310702,675693,954104,907759,-1,345613,520389,491607,-1,-1,-1,972527,606205,831079,917319,281502,168944,-1,-1,-1,-1,-1,-1,-1,-1,144149,928373,559868,170546,172769,851768,90541,553698,-1,-1,155465,-1,-1,871062,-1,213951,294181,-1,-1,73900,-1,49602,-1,570416,992879,-1,366358,346223,-1,-1,974107,399967,-1,-1,-1,-1,597748,-1,-1,833767,-1,568375,-1,637553,-1,216777,796735,628970,-1,935186,501438,-1,913974,230160,909820,-1,93880,-1,-1,-1,877513,-1,188322,71717,-1,267170,19931,-1,-1,154415,536133,271186,-1,-1,-1,-1,-1,614634,785468,-1,357994,-1,198275,-1,920627,-1,-1,-1,-1,244497,-1,242664,404787,615462,106805,797804,111506,-1,428777,-1,-1,473902,730125,778897,467938,718048,99853,-1,930534,735147,424944,-1,-1,-1,710466,-1,-1,-1,-1,-1,587431,-1,544583,-1,-1,842647,-1,825007,635012,880790,617303,102936,287108,689446,-1,-1,643267,-1,-1,503205,814617,-1,-1,592544,-1,471021,-1,-1,276807,609548,-1,653210,33086,-1,-1,-1,-1,741176,27321,-1,733785,253727,-1,240300,-1,-1,-1,-1,-1,-1,182619,-1,-1,544411,-1,41698,132199,687310,970799,942974,199105,545605,832316,-1,945824,-1,266768,-1,411446,-1,627596,-1,-1,-1,-1,-1,-1,-1,855920,-1,169040,-1,-1,-1,337283,863384,545304,665493,773821,-1,405277,802568,-1,-1,-1,-1,943833,-1,108509,547876,842494,-1,-1,415944,334069,-1,-1,-1,337773,-1,8042,283335,696343,-1,-1,-1,951925,-1,-1,-1,-1,-1,-1,-1,617127,996621,-1,-1,175122,771895,-1,-1,224224,342476,573274,785055,135510,-1,294611,78795,756353,943057,-1,904230,660370,301965,-1,632484,-1,584963,796969,-1,215116,214158,-1,-1,221630,-1,685619,-1,726576,-1,-1,-1,-1,471462,968570,-1,-1,-1,354074,-1,165408,-1,707304,727013,-1,-1,-1,-1,-1,173259,-1,-1,740064,-1,239306,236231,421034,-1,474422,-1,915607,927781,-1,611126,750508,22959,-1,-1,-1,201514,132592,179528,-1,-1,49870,-1,319648,338750,-1,-1,774908,-1,547989,516263,-1,-1,30141,116973,812097,989536,-1,-1,670757,318476,-1,-1,756700,964546,341794,154436,-1,-1,632574,-1,705888,-1,77801,542583,664037,831720,658286,185349,-1,604804,-1,667133,127598,-1,-1,879468,-1,-1,994056,-1,-1,-1,-1,662266,832969,983574,-1,502160,-1,912624,292981,11163,-1,-1,166086,209899,679438,-1,354038,-1,85606,-1,870248,-1,-1,-1,-1,-1,-1,889807,557187,-1,-1,462984,-1,-1,161420,294634,107451,-1,165700,-1,621627,325685,847586,115940,-1,764155,-1,-1,-1,601737,-1,-1,-1,47714,915858,335063,936924,-1,-1,227609,-1,-1,-1,301948,885496,-1,344950,-1,-1,-1,-1,-1,-1,911156,-1,328516,835973,903095,836286,-1,798746,42071,204983,841868,414886,498530,-1,-1,-1,-1,317100,-1,743350,-1,-1,386698,545988,-1,896038,479735,-1,-1,-1,-1,-1,-1,773423,-1,-1,781229,60382,481498,442485,314142,648139,-1,81529,-1,-1,-1,714737,-1,543650,-1,-1,-1,330100,283372,289103,604030,-1,238432,-1,215319,616591,801836,-1,-1,121559,75360,-1,598213,-1,75103,698271,-1,163417,-1,782362,675730,-1,-1,735237,-1,-1,-1,-1,19718,732161,408507,-1,143339,223918,-1,727155,713210,-1,-1,-1,-1,-1,-1,873280,-1,-1,383381,480818,-1,-1,848257,-1,979359,32409,-1,673246,-1,759668,-1,-1,-1,-1,-1,-1,-1,375827,-1,209761,169346,-1,128161,-1,557268,-1,-1,-1,660867,-1,383730,-1,-1,-1,886867,812259,-1,251491,-1,-1,409753,-1,785185,642834,-1,-1,-1,-1,79385,664075,44874,-1,-1,757488,338267,495427,-1,-1,803895,723212,540103,630583,-1,699574,-1,-1,-1,-1,129341,-1,654559,300222,305943,606816,268288,281154,-1,-1,513219,413461,146800,948132,587371,-1,216649,960859,-1,379882,-1,738661,-1,15401,345344,-1,463000,806571,-1,793375,902002,246647,-1,611557,823058,256987,-1,-1,268328,870151,-1,-1,621600,-1,23948,887890,-1,-1,777638,-1,-1,-1,-1,-1,-1,-1,493587,118426,745007,-1,-1,949052,-1,-1,-1,-1,-1,520394,311332,581887,-1,105214,549522,-1,152446,309836,-1,-1,-1,921671,567683,241061,-1,-1,207881,838149,573673,-1,-1,976194,-1,885452,881158,-1,49962,799957,-1,465794,701007,-1,-1,47149,-1,940373,-1,520657,-1,-1,-1,239783,220351,-1,-1,-1,226019,-1,939782,360013,253775,-1,-1,430785,-1,-1,671603,-1,-1,998971,-1,150256,927809,-1,-1,179747,340121,844397,703487,412952,-1,-1,356188,-1,-1,332260,-1,32795,192030,449822,-1,189105,678410,-1,257452,-1,-1,338588,-1,693445,56580,983747,-1,-1,-1,772004,545961,-1,813292,192163,292950,193932,627230,238264,287002,-1,-1,412156,-1,544462,-1,-1,183195,-1,-1,689501,211623,96292,899631,-1,-1,919633,-1,-1,882913,253858,-1,-1,-1,60842,-1,672991,-1,520251,972722,-1,770889,833371,687355,749207,359358,755434,252270,856635,-1,649491,-1,402216,-1,-1,298064,825476,543656,-1,122036,18485,-1,-1,-1,130723,-1,445501,-1,-1,-1,-1,299978,-1,719926,770630,-1,801582,797394,614050,15743,962242,414544,858576,188988,-1,-1,946159,36377,-1,-1,-1,-1,-1,-1,549624,415925,877583,-1,905403,628720,759829,953582,197709,212002,369003,-1,-1,231373,745193,132905,-1,-1,-1,474965,-1,423648,841125,72858,-1,-1,279932,-1,648438,-1,-1,-1,-1,884093,650445,392082,-1,-1,-1,-1,590738,364561,-1,605046,144125,886703,-1,-1,-1,542966,-1,130711,210114,295394,108155,972882,-1,-1,-1,76825,584574,-1,-1,-1,-1,332068,-1,296680,289954,-1,544825,-1,-1,-1,797870,759099,-1,493605,789165,-1,677737,120413,521478,-1,664869,-1,225678,-1,489986,537615,-1,-1,-1,996846,630141,221027,-1,383951,-1,-1,-1,-1,-1,759270,429546,645354,510737,-1,-1,-1,-1,-1,65109,41507,-1,-1,847748,824854,-1,780743,-1,854387,901809,842658,251015,13991,-1,8641,7091,85585,-1,-1,-1,55638,13451,-1,729490,-1,-1,366417,-1,336251,960518,-1,788671,809822,172635,-1,-1,-1,447210,-1,683743,-1,570847,673545,-1,-1,-1,203278,632448,156147,-1,-1,-1,479435,-1,829328,120796,37720,842579,862994,797070,-1,-1,920408,296561,-1,-1,-1,993070,-1,946925,682402,857592,-1,-1,951618,819754,-1,-1,-1,-1,860841,38585,973826,831683,-1,554052,339265,353012,-1,-1,335333,896302,944206,-1,-1,-1,-1,441473,143533,-1,974030,302051,36077,-1,-1,432429,814993,-1,-1,-1,345111,232706,198882,553801,-1,-1,949995,155774,228520,-1,717917,-1,-1,89463,-1,883339,-1,397642,951034,149887,-1,953688,594584,331272,538787,-1,227412,283338,-1,-1,954598,541528,713315,-1,894181,196071,-1,-1,166576,622906,-1,-1,-1,-1,512644,-1,371661,486624,746320,34260,259507,120806,970645,-1,487689,-1,-1,404497,360385,-1,428401,-1,-1,322289,18662,-1,391389,-1,-1,498429,495570,849667,997160,-1,-1,-1,-1,-1,460548,314636,-1,536475,707105,595955,560180,-1,-1,239926,852381,92855,-1,793680,916604,-1,387576,548204,75595,131730,778202,-1,-1,266020,-1,900364,-1,-1,-1,67748,837660,915826,-1,713702,800342,-1,75927,951501,334644,-1,903928,-1,684494,576460,-1,78570,465409,-1,894117,-1,81221,824384,281395,262106,873724,268585,256638,665175,-1,-1,648256,171893,-1,-1,311522,514230,648030,-1,360264,-1,597030,625996,525989,759087,-1,-1,-1,398819,674346,-1,-1,201487,-1,-1,-1,315291,105329,-1,-1,491667,509005,661157,-1,-1,998338,851123,324447,-1,552031,-1,829376,41024,978236,-1,-1,23480,-1,-1,-1,976552,-1,384074,-1,-1,-1,263445,650052,-1,-1,960343,104256,-1,277645,-1,924780,282119,-1,263074,-1,-1,574256,-1,441914,-1,713012,-1,170924,408366,-1,-1,-1,-1,77156,229551,-1,936371,-1,234983,-1,460446,779852,-1,852559,408289,-1,358351,-1,380046,-1,-1,328981,-1,518085,-1,-1,951919,643287,-1,-1,117734,-1,395503,335721,926779,136223,305553,602106,683768,334056,-1,-1,82017,564971,-1,-1,-1,603347,-1,-1,-1,-1,-1,15851,583628,-1,-1,-1,-1,707848,-1,986251,-1,544362,102867,-1,-1,-1,231590,-1,-1,-1,612860,515192,885920,37417,848664,627502,775061,38143,750426,-1,227524,705294,593083,522350,251729,983913,275668,-1,417490,-1,676664,818541,991430,746497,376997,-1,543198,289499,621115,103042,615048,-1,922617,-1,-1,-1,-1,-1,-1,-1,914006,764216,-1,731669,-1,787698,-1,589049,-1,196654,-1,-1,660830,-1,-1,276136,-1,-1,187997,812273,-1,-1,180331,170372,-1,-1,947514,-1,574823,138293,376092,879675,-1,-1,-1,917887,214879,-1,539145,-1,169063,223483,-1,502297,-1,-1,-1,747632,125359,-1,533719,-1,991091,535719,166399,628586,-1,395425,311496,70375,-1,-1,-1,-1,-1,914323,-1,-1,-1,214089,-1,977454,779766,-1,-1,-1,-1,935468,-1,-1,-1,-1,721923,-1,-1,564591,-1,311979,708966,766986,-1,686650,-1,994914,-1,810281,586919,175781,67210,-1,-1,573339,40248,94857,-1,-1,340741,454763,254209,745550,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,905014,-1,-1,-1,-1,363203,574918,587077,549229,-1,276186,-1,532607,-1,-1,-1,-1,559454,311743,-1,994711,944244,138012,333922,-1,-1,48673,564238,-1,290708,-1,546156,-1,948887,709153,654750,574519,92359,134931,350169,-1,-1,-1,960447,988755,144988,-1,267632,-1,-1,-1,-1,-1,-1,367292,-1,404605,-1,493926,-1,-1,837284,558364,-1,-1,64675,-1,561816,-1,-1,664201,-1,-1,541129,-1,70263,-1,157002,-1,516703,176675,-1,-1,145233,412302,-1,-1,-1,-1,299291,-1,-1,807882,68159,978003,508108,-1,826175,949149,-1,-1,-1,933343,-1,-1,-1,-1,916246,-1,-1,-1,-1,21115,937475,542396,-1,734313,-1,-1,-1,395806,-1,-1,565637,122399,960293,9619,-1,-1,-1,757877,903063,-1,306955,585388,-1,-1,-1,-1,-1,885022,-1,-1,419690,668840,76401,-1,-1,-1,-1,68949,59112,7678,450660,-1,-1,-1,760379,-1,-1,174777,-1,95704,-1,605804,-1,474816,889284,-1,284537,-1,783043,-1,-1,730677,905744,625403,-1,-1,684179,261630,-1,-1,95065,405456,36421,-1,988869,30539,333679,25294,-1,-1,-1,405549,-1,652319,-1,156949,291629,-1,897585,-1,7476,-1,409959,144651,511931,-1,-1,-1,743091,-1,693703,-1,401145,60985,916225,414635,-1,-1,537449,690851,-1,-1,-1,102387,-1,399885,-1,-1,375028,280371,232644,-1,17764,-1,407005,-1,774797,468366,152098,52289,-1,-1,643959,834183,182987,-1,302817,901084,975976,-1,-1,-1,383609,-1,54884,64146,-1,-1,996132,-1,920196,-1,-1,58425,709973,-1,149761,-1,-1,-1,-1,-1,-1,-1,-1,-1,782495,-1,155478,-1,891119,-1,-1,-1,-1,-1,167144,-1,92141,905777,-1,200095,44446,-1,-1,612783,138330,-1,532194,-1,293857,-1,85823,477520,-1,836672,208853,-1,521617,-1,536786,168282,410128,-1,-1,-1,936535,555435,71087,-1,-1,755256,-1,-1,-1,411112,-1,976008,-1,487175,-1,-1,957464,-1,215043,349870,-1,-1,-1,-1,-1,-1,754029,-1,-1,-1,-1,-1,-1,266966,696735,-1,877037,628724,-1,-1,-1,-1,561271,79610,-1,412553,214181,-1,-1,-1,-1,-1,750267,-1,422449,-1,159517,918994,-1,243313,214777,-1,375262,272544,-1,763790,-1,398385,682394,-1,668546,-1,207999,370535,995636,993052,-1,-1,150315,-1,-1,583273,770643,-1,417155,917994,-1,-1,-1,696583,624864,-1,473015,-1,887121,782956,8900,-1,-1,-1,-1,-1,-1,857836,650506,48067,-1,254933,-1,-1,817679,-1,927092,55182,-1,-1,-1,-1,148804,-1,-1,-1,920975,-1,953763,156129,-1,-1,410146,-1,-1,394136,223671,167530,716275,-1,-1,816682,29092,-1,345636,-1,803011,-1,812542,529264,-1,-1,-1,33481,-1,-1,550509,-1,-1,-1,620723,-1,740380,624119,-1,114208,176680,415739,-1,194613,282442,-1,-1,-1,-1,-1,-1,-1,-1,824146,986492,75285,830118,855247,319823,-1,978781,458652,-1,-1,-1,280278,-1,-1,883115,-1,990165,7023,329519,564818,-1,904709,-1,-1,892053,475663,726583,113690,483685,-1,-1,-1,-1,-1,-1,-1,468013,-1,-1,833708,480470,989122,87129,-1,772354,-1,403868,944897,-1,-1,-1,517681,-1,685616,-1,665767,34765,-1,614004,428506,348092,-1,595851,-1,-1,810446,464241,456295,334730,-1,848002,-1,939924,413056,50085,-1,760025,548662,-1,128417,279370,-1,-1,-1,-1,900818,27091,-1,416161,706817,-1,817701,-1,351170,-1,379851,464275,-1,431414,182953,-1,863504,773474,643828,-1,419331,-1,146520,363635,44007,421749,624037,-1,594143,-1,-1,887463,-1,-1,-1,-1,964146,-1,-1,269703,-1,931717,-1,703931,802715,968846,-1,-1,164132,-1,415253,603574,953768,346212,-1,-1,-1,54613,-1,-1,-1,125204,-1,465933,-1,-1,154603,773728,-1,673513,-1,-1,38885,920131,103736,-1,-1,-1,-1,-1,-1,-1,180641,-1,-1,619479,409091,58724,-1,13223,250781,851881,-1,-1,480771,16370,72349,-1,432517,-1,-1,-1,74086,131592,-1,875968,-1,-1,-1,-1,516310,425832,173675,456718,-1,288695,-1,323680,656059,-1,-1,-1,948610,281748,-1,-1,-1,916923,942458,-1,-1,330096,686576,-1,-1,-1,-1,-1,86320,-1,-1,-1,364464,174441,551695,659839,-1,816786,306663,710620,-1,637460,965961,-1,-1,974369,-1,-1,993206,-1,-1,489236,-1,913718,999756,694635,795437,33661,964784,263126,274398,70440,997325,-1,-1,-1,-1,-1,-1,189187,140613,650850,142130,518634,237188,794132,141227,52945,-1,95571,-1,254622,-1,-1,997079,-1,-1,415502,777563,-1,-1,149771,784518,-1,974116,-1,331021,988838,673395,40815,-1,-1,-1,893163,198115,709369,-1,946702,85704,-1,-1,-1,-1,-1,30186,491984,-1,202531,464210,176640,916069,465762,468991,-1,143497,-1,778342,972609,-1,436825,227072,-1,-1,118403,806359,-1,769734,179505,53747,-1,-1,-1,-1,626819,234295,997448,389550,277340,161366,846139,-1,-1,-1,625488,650380,-1,37904,533285,-1,273549,-1,-1,305058,904721,-1,792515,644606,-1,-1,731057,-1,-1,-1,286743,-1,221304,54712,959296,862120,-1,-1,536064,414492,-1,616101,-1,487055,-1,25753,645105,114518,618759,-1,120629,682649,767523,-1,-1,788201,759373,-1,-1,663198,-1,-1,-1,-1,-1,325323,-1,623073,1646,-1,-1,260133,-1,541226,244234,378481,-1,-1,-1,873948,-1,398891,-1,-1,-1,205889,632488,511098,-1,600630,571426,-1,793671,-1,-1,198478,-1,-1,982913,822905,159442,649992,268218,-1,-1,766759,-1,874747,-1,-1,799615,786530,-1,-1,-1,150597,-1,-1,-1,-1,426774,-1,-1,-1,-1,927505,-1,388540,-1,-1,615183,498521,-1,837241,-1,161440,-1,-1,-1,705416,-1,198718,-1,864492,75477,545064,-1,997693,-1,-1,460487,403393,644002,158545,-1,682146,520833,-1,-1,-1,466653,802882,849879,31242,73998,278008,37349,-1,738116,-1,361338,580018,-1,-1,-1,-1,47579,-1,-1,759996,321947,-1,-1,483550,515395,-1,-1,756826,514747,-1,813598,-1,-1,-1,-1,643477,-1,981498,-1,127053,-1,697516,380253,-1,-1,753663,463280,246940,-1,373683,145870,-1,979231,-1,-1,621556,798621,-1,904366,472116,-1,612085,-1,58753,640712,80902,-1,-1,41515,410636,-1,733513,69220,-1,525144,924156,703009,-1,-1,-1,46297,576425,77705,574511,197383,267043,-1,371301,-1,-1,-1,698913,574597,253284,397422,270308,144079,442956,-1,-1,-1,159703,659238,734542,852428,-1,469997,478120,777788,547329,418114,-1,-1,-1,597187,-1,354424,762835,-1,652270,-1,-1,887603,-1,3944,-1,157125,-1,277643,-1,-1,-1,2065,401060,-1,735057,183102,500085,540839,-1,364161,-1,-1,-1,-1,-1,-1,463420,-1,960656,839482,925515,-1,698292,-1,-1,196800,432469,-1,-1,975161,646640,819480,312552,-1,-1,-1,902786,939798,-1,-1,-1,-1,-1,-1,822188,661391,-1,152536,161304,-1,563443,459407,502531,-1,412477,337805,141639,627201,791718,738970,-1,-1,547748,-1,694993,-1,-1,-1,-1,477538,967140,-1,451679,831014,204815,266737,493405,107216,675779,-1,205213,-1,198887,91916,857196,218196,-1,-1,347203,-1,-1,400238,508911,-1,-1,813470,-1,336136,677810,-1,-1,490899,519390,-1,456446,166617,389930,366172,937523,-1,-1,987894,-1,772,123853,694225,880344,-1,844646,942913,64746,727576,362026,-1,-1,799936,617982,-1,247835,724130,16654,978248,-1,106776,-1,23184,419471,165098,310258,-1,278868,17592,-1,-1,412798,487352,497421,-1,397361,624371,-1,-1,-1,500839,889226,-1,-1,-1,-1,-1,482328,765191,-1,965950,287316,274148,-1,72935,-1,294135,-1,-1,-1,-1,-1,844438,662517,-1,-1,529026,-1,-1,513352,-1,-1,578461,-1,849753,-1,502361,-1,-1,-1,71823,-1,557396,-1,-1,215618,-1,-1,565550,285800,344569,244440,537209,506693,-1,-1,242708,473210,-1,26487,-1,861774,-1,-1,-1,793565,-1,292392,894272,299649,-1,934173,-1,-1,-1,-1,-1,-1,-1,-1,-1,303803,984482,-1,495666,-1,400946,-1,-1,453303,-1,-1,77529,-1,243574,-1,8858,421403,-1,596271,994728,-1,-1,150148,666573,36515,43238,-1,-1,446629,383516,651387,735970,-1,556560,990549,608314,-1,-1,-1,-1,246627,610255,-1,786393,-1,-1,627583,-1,-1,-1,310729,-1,710209,-1,-1,-1,-1,38851,422796,221537,-1,975576,-1,-1,-1,-1,693111,-1,-1,159138,-1,-1,-1,631675,276214,-1,-1,-1,990486,-1,924205,715672,-1,-1,582310,-1,742260,624211,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,546246,-1,292707,-1,476084,-1,769710,574937,317923,-1,930265,780311,-1,810686,-1,-1,-1,536225,-1,-1,-1,-1,403779,614199,404429,773622,-1,710090,-1,-1,367986,403131,-1,-1,-1,-1,-1,-1,-1,963438,-1,-1,533158,497470,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,951205,914551,81448,115740,867932,-1,-1,-1,-1,-1,28570,67712,-1,-1,114230,-1,-1,332093,-1,-1,62469,-1,179686,-1,86826,-1,-1,988452,269249,17176,105128,-1,-1,-1,-1,-1,245642,-1,802251,-1,474352,-1,929081,275463,944851,989191,-1,-1,-1,907683,-1,513814,921054,714568,607773,8730,15810,-1,-1,-1,-1,328097,-1,-1,-1,874719,123539,-1,-1,707486,172986,-1,405369,499862,-1,-1,-1,406950,-1,505715,-1,-1,-1,-1,839512,-1,905531,-1,531917,795128,416455,833470,335865,873954,-1,-1,-1,-1,-1,-1,-1,-1,854896,-1,-1,-1,-1,-1,279589,-1,166897,-1,186308,-1,540186,788247,-1,403111,864944,-1,317620,916360,635416,954752,886483,-1,-1,-1,-1,-1,-1,-1,-1,472751,-1,38454,-1,412039,-1,971882,610043,-1,-1,-1,-1,972011,-1,-1,-1,372613,250913,-1,842233,-1,-1,-1,-1,-1,-1,684379,-1,-1,-1,234154,-1,-1,101737,797066,-1,-1,-1,348100,376486,840455,128207,474883,-1,-1,-1,56164,760229,886924,-1,354297,-1,703500,-1,-1,852258,-1,-1,-1,357133,-1,-1,779475,95593,-1,-1,-1,-1,-1,-1,140424,-1,-1,-1,295587,191465,-1,715949,707656,2012,270944,796710,-1,-1,-1,51112,594213,225412,-1,665430,659054,-1,446817,368879,554270,605712,-1,356653,-1,623888,-1,473049,914412,-1,516716,886625,476090,-1,-1,-1,161595,-1,820898,-1,641730,471073,-1,775470,-1,-1,675651,619780,-1,128480,-1,512050,846330,874240,-1,-1,-1,617078,119688,539346,3853,949240,-1,-1,-1,-1,-1,545819,-1,-1,-1,972131,481281,-1,-1,988923,90561,-1,-1,-1,-1,-1,-1,823723,-1,505745,-1,-1,-1,351243,-1,-1,886243,273048,96818,734690,-1,362511,665519,-1,950777,615374,-1,963000,-1,-1,-1,-1,-1,-1,179499,-1,882893,-1,-1,798941,-1,588561,-1,717539,537631,893481,-1,-1,-1,-1,-1,134404,161116,234666,-1,-1,-1,-1,684666,824125,-1,-1,-1,-1,288132,641980,709891,-1,-1,-1,-1,490088,-1,193755,360539,741529,-1,833438,957541,-1,777415,-1,525113,580606,154766,76338,498767,902000,-1,465764,-1,-1,362643,-1,197431,-1,338834,199065,97363,695751,-1,986404,151863,-1,-1,-1,412612,-1,492896,-1,-1,-1,753868,-1,388418,-1,242323,121802,-1,-1,-1,-1,670365,833092,706308,604415,-1,536344,578305,463768,-1,956359,-1,-1,-1,541813,75531,-1,-1,933057,-1,643465,28520,-1,-1,230200,168701,500679,-1,-1,-1,510353,-1,78735,207209,-1,-1,690084,-1,-1,-1,381727,-1,974579,155244,38905,-1,-1,-1,80894,-1,-1,76194,-1,-1,-1,-1,-1,155775,-1,-1,973341,387231,552733,-1,809242,489726,822334,331470,66609,-1,335563,-1,-1,-1,-1,-1,399451,-1,-1,-1,-1,463503,-1,919403,340336,36908,30516,938262,-1,-1,433819,-1,-1,374201,482670,-1,-1,-1,-1,-1,970256,-1,-1,396230,166585,523105,-1,-1,-1,-1,495951,-1,811695,-1,-1,-1,-1,-1,-1,-1,991706,-1,-1,936627,-1,276762,-1,419955,287672,-1,-1,738694,256345,-1,-1,-1,378330,-1,-1,-1,256637,-1,800147,-1,953518,-1,-1,759465,21397,786274,257719,-1,415077,198847,370278,999526,-1,-1,771425,532440,778151,-1,-1,539957,-1,37351,447822,-1,-1,653720,-1,22777,754582,-1,-1,-1,921187,916234,237903,103362,292687,-1,-1,235489,-1,579092,849138,-1,-1,-1,-1,-1,236983,952284,657010,-1,376643,-1,-1,198325,737576,-1,-1,-1,915203,178564,-1,769584,117461,586586,-1,89490,-1,-1,-1,-1,-1,406523,538199,923811,-1,223004,357624,-1,-1,-1,836020,37949,189468,363692,907129,-1,916992,587887,-1,561944,-1,-1,-1,-1,491123,-1,441240,-1,-1,-1,-1,383840,906704,-1,208717,549833,367997,-1,927724,972504,213855,627476,750881,-1,-1,710714,-1,-1,121828,-1,-1,-1,841282,308668,-1,-1,130422,678913,-1,913742,-1,19709,-1,-1,880412,-1,-1,-1,-1,-1,566498,163935,210443,950990,-1,240783,-1,342285,-1,-1,96372,-1,-1,54903,573432,-1,327341,-1,-1,407983,397246,-1,-1,228552,-1,-1,456783,-1,490965,946429,-1,-1,553469,-1,-1,44549,-1,129947,-1,489135,-1,77783,335924,-1,714957,-1,-1,392528,-1,-1,-1,413180,-1,-1,958463,846436,468822,987420,123504,480890,-1,779759,948435,298378,946156,-1,-1,997207,-1,-1,525945,-1,-1,-1,-1,352661,-1,-1,-1,-1,-1,936318,-1,522596,888734,-1,516858,-1,-1,398851,-1,-1,694598,470050,-1,-1,755090,-1,302657,-1,751466,326599,-1,-1,-1,-1,975414,727672,-1,471473,278852,639176,-1,-1,624971,776545,-1,492677,-1,-1,214410,201705,-1,-1,504703,-1,342127,852544,6452,410306,-1,-1,-1,19934,552736,10564,-1,389078,-1,-1,405463,125557,-1,342564,-1,-1,-1,450220,991126,-1,749163,50246,718869,330452,207024,-1,-1,-1,-1,-1,-1,-1,-1,-1,514699,-1,643695,-1,-1,113691,363265,451186,-1,-1,-1,91115,-1,350066,-1,-1,473362,-1,-1,-1,-1,-1,389203,-1,283682,-1,625869,-1,-1,-1,-1,401196,-1,-1,959852,-1,510465,-1,15344,691068,-1,-1,-1,-1,116119,-1,-1,271417,-1,-1,414315,40109,405630,761466,182687,-1,833161,-1,297587,141633,-1,-1,380400,277842,675609,-1,-1,664996,433371,79738,26424,814677,-1,984111,-1,182928,-1,521717,-1,569790,-1,-1,40006,-1,616139,-1,-1,579735,-1,-1,54085,385925,-1,-1,-1,-1,-1,-1,-1,976817,494157,271481,-1,629012,-1,383920,-1,899346,-1,-1,363386,456761,-1,-1,-1,-1,323400,-1,-1,-1,-1,-1,708552,-1,-1,-1,-1,967527,-1,-1,313433,-1,269314,495805,-1,679518,254430,41512,-1,950190,708713,824330,256265,63572,570520,-1,149876,-1,-1,-1,21187,-1,-1,-1,-1,-1,-1,-1,418953,-1,-1,57973,975636,-1,-1,-1,-1,989112,-1,-1,721248,624907,327702,466942,704052,-1,-1,27199,149827,-1,-1,-1,-1,226236,-1,592277,579980,830457,-1,-1,438924,-1,381005,116570,609569,-1,-1,-1,-1,59164,520827,568194,-1,916341,923240,-1,734763,-1,-1,406813,-1,-1,-1,633654,-1,-1,-1,257560,-1,-1,813157,-1,-1,-1,520513,-1,916346,836476,761068,-1,813718,189733,-1,56059,-1,35681,413399,805751,109138,737683,-1,949332,465096,-1,892222,-1,119345,-1,-1,825924,-1,-1,-1,905632,-1,-1,666991,-1,-1,-1,521670,-1,465639,-1,133666,305701,414401,-1,-1,-1,-1,-1,-1,-1,239236,223845,-1,-1,-1,-1,-1,751515,-1,511920,-1,-1,-1,-1,-1,188304,83087,42097,-1,267606,696352,-1,86284,-1,150197,908728,617681,362572,-1,-1,403239,194370,-1,775006,-1,823898,-1,312230,701678,-1,-1,-1,263492,-1,-1,-1,-1,466180,-1,-1,838344,702627,882943,412671,-1,631622,-1,-1,-1,606534,26294,589350,523513,16428,-1,-1,186092,453749,972564,-1,-1,99377,466713,602929,836902,348289,-1,-1,-1,481505,-1,22336,-1,-1,-1,-1,-1,28325,984963,233019,-1,-1,422414,-1,-1,566730,-1,-1,606990,314557,82059,-1,-1,-1,799661,738271,182974,-1,-1,406786,710420,-1,-1,850451,234651,-1,-1,-1,-1,-1,315258,289340,-1,-1,-1,169905,-1,-1,600253,-1,334626,-1,963295,317494,-1,678621,63448,989866,-1,578320,-1,880774,450163,195814,746881,-1,-1,765105,-1,537264,-1,-1,-1,-1,880070,-1,-1,517906,-1,-1,-1,996015,276360,-1,-1,-1,-1,-1,610055,-1,827459,-1,-1,670239,-1,-1,629411,-1,122551,-1,-1,256930,838827,-1,-1,-1,-1,716837,572247,647965,-1,972374,284195,371009,-1,513320,427106,207008,-1,-1,-1,-1,-1,678292,599899,-1,815456,-1,383738,-1,922891,659042,-1,801842,-1,-1,93689,-1,800027,370683,-1,366437,-1,685418,-1,-1,125124,781120,-1,448655,79813,783991,129037,-1,204143,-1,-1,389283,-1,362143,-1,-1,-1,250732,-1,160070,-1,-1,-1,-1,-1,-1,455506,105381,-1,-1,-1,613028,-1,747804,11579,391683,711908,13982,-1,-1,129700,601751,-1,-1,-1,-1,95022,38527,294342,-1,2463,-1,-1,12270,389580,143513,-1,-1,504442,-1,-1,631275,755349,-1,75522,-1,-1,34115,-1,402127,-1,-1,399453,214417,822276,-1,458973,675540,2649,-1,689976,-1,-1,-1,-1,464691,-1,-1,-1,-1,-1,927664,-1,643968,197207,413866,257524,-1,-1,-1,-1,-1,644738,-1,415878,141620,658249,-1,155154,-1,-1,876184,-1,-1,716578,-1,437354,-1,565125,714375,-1,-1,21643,105979,-1,-1,-1,-1,492043,-1,-1,-1,330729,866445,-1,-1,-1,823122,-1,109064,483345,-1,293565,744211,-1,77308,-1,-1,-1,-1,-1,241808,-1,-1,278071,-1,305661,419216,58524,619925,163666,-1,803772,391476,-1,345361,250276,686187,-1,-1,-1,-1,31871,-1,-1,731515,713792,309959,158451,-1,613475,-1,-1,928580,-1,533777,556794,-1,-1,420992,529021,-1,7004,173867,181388,356336,-1,628773,849844,-1,901357,-1,801262,262830,-1,-1,471429,-1,-1,-1,-1,899025,-1,-1,490225,-1,31778,750460,583674,-1,852449,798682,582840,235877,-1,853508,348835,-1,818579,-1,61919,25926,421545,-1,869554,206283,-1,330191,-1,881462,382041,-1,770833,585876,-1,-1,-1,-1,570586,977177,-1,607246,-1,-1,51254,-1,85837,-1,-1,-1,-1,514400,641471,-1,-1,-1,107678,-1,314477,630546,-1,-1,-1,-1,667658,524780,-1,439615,-1,-1,845256,331065,537471,303518,805355,521658,-1,73780,-1,940508,111106,-1,836280,532588,-1,-1,964232,-1,-1,519749,-1,-1,992233,347419,-1,-1,555906,791077,29578,236730,-1,-1,-1,145015,202673,-1,-1,-1,-1,-1,-1,427886,-1,-1,19809,465436,-1,-1,102892,-1,180905,555467,-1,-1,911888,-1,-1,780405,355384,-1,797998,914050,-1,-1,-1,368173,-1,942134,348578,635554,880893,260831,888387,319277,-1,-1,-1,-1,19014,371184,-1,427848,-1,505742,-1,179203,474453,120625,-1,144916,-1,-1,-1,-1,552886,-1,-1,-1,286046,-1,-1,211102,984630,27572,180171,495981,-1,196306,72900,584054,-1,-1,-1,-1,397707,696099,-1,304334,667711,-1,-1,64326,-1,902111,147020,-1,923556,732965,-1,37309,143138,255593,54739,256255,-1,-1,-1,842186,-1,-1,-1,-1,-1,745409,-1,513528,87544,-1,-1,-1,-1,81756,-1,-1,-1,955657,873884,-1,560981,597777,-1,333881,941476,438891,-1,-1,-1,918372,-1,502324,-1,527216,261955,442839,377363,987903,-1,-1,-1,-1,-1,-1,-1,-1,-1,274629,-1,832880,-1,-1,475799,-1,498317,-1,-1,-1,50391,160473,770590,-1,-1,-1,719078,-1,-1,9114,-1,-1,381880,-1,-1,717787,590474,823492,-1,-1,-1,-1,-1,-1,-1,388242,-1,-1,-1,-1,-1,466377,953998,-1,104279,-1,297961,863307,-1,197414,466655,-1,123639,239129,628350,736765,522986,560116,977804,700622,245196,-1,-1,292604,-1,-1,-1,774939,600000,394848,446163,-1,-1,-1,-1,-1,-1,-1,-1,274239,-1,805564,862028,387150,333250,-1,-1,-1,-1,-1,-1,508760,-1,19567,-1,332910,962751,-1,-1,-1,25508,-1,869201,792430,262988,-1,-1,-1,-1,292335,145975,561149,71818,-1,37977,646751,174824,-1,-1,-1,-1,-1,718155,48854,38300,-1,-1,-1,120364,-1,297745,717732,-1,-1,-1,-1,32680,618353,572819,-1,-1,61790,339654,-1,-1,-1,98002,982118,675739,-1,360787,422507,683690,-1,779349,-1,800479,-1,-1,-1,-1,-1,395134,171199,-1,-1,-1,-1,592114,-1,-1,-1,-1,797450,904306,-1,-1,322788,605053,227916,-1,598664,142723,739639,494494,502294,690350,217925,-1,-1,168788,531180,-1,-1,811258,193121,675600,-1,915939,25714,739466,-1,224058,823488,698396,314484,237886,535520,155076,-1,878791,-1,783918,-1,-1,-1,663034,711904,267691,191392,-1,135907,-1,136676,-1,-1,-1,-1,-1,415681,679765,-1,516096,-1,368900,-1,-1,-1,-1,103151,808455,-1,311824,-1,404873,-1,375705,-1,-1,736583,857624,-1,-1,-1,172012,-1,-1,-1,390432,-1,-1,438713,735664,795071,565491,-1,371923,-1,647729,310427,4828,116987,464172,754193,-1,742980,571735,555711,-1,796042,-1,37790,-1,-1,229683,-1,-1,553549,-1,940313,463020,-1,-1,-1,995515,-1,-1,161493,498116,-1,-1,-1,705844,-1,994792,-1,7307,130392,639214,-1,464728,965947,180501,692318,-1,-1,-1,134638,762492,264102,-1,452076,299901,131490,-1,496744,918043,130091,-1,-1,-1,441296,442611,-1,-1,77410,-1,286736,-1,826614,-1,814313,-1,179696,466142,-1,773810,123007,-1,-1,-1,-1,-1,330473,-1,-1,398163,-1,-1,-1,536925,-1,836591,-1,157022,869900,-1,951479,558491,90420,-1,-1,695152,588564,521159,980019,273540,-1,-1,-1,261768,-1,332432,-1,253156,188477,-1,10391,-1,-1,845736,656007,-1,-1,-1,462825,-1,-1,783651,754380,-1,-1,355436,-1,-1,757793,429130,-1,-1,-1,442563,-1,-1,318532,-1,56286,513403,-1,250620,292497,-1,-1,513125,-1,962221,-1,477056,245466,27355,-1,-1,-1,844552,567868,721258,618173,736805,-1,-1,620007,-1,-1,-1,918576,369666,547956,582297,383809,486751,-1,170694,472065,117258,-1,885114,464087,-1,671390,208881,532894,368623,729862,432346,-1,561662,257981,-1,120498,-1,-1,-1,-1,16190,-1,-1,881005,367142,-1,572385,-1,944570,-1,-1,-1,545293,586633,462692,-1,861381,-1,-1,23124,-1,405710,-1,40863,446723,-1,-1,-1,-1,-1,-1,37188,-1,528562,-1,-1,706096,999338,296824,423575,931802,-1,-1,914967,-1,-1,-1,909597,463849,-1,-1,914080,888761,-1,-1,631381,-1,753564,970099,19021,-1,53998,-1,-1,-1,886687,-1,-1,-1,-1,-1,568531,-1,-1,468512,59929,710602,-1,731112,971770,-1,996035,-1,-1,710595,129010,354566,-1,-1,139710,-1,479729,-1,791450,355616,-1,51437,587621,869107,-1,-1,673844,231383,243283,-1,-1,-1,432982,108057,857757,802365,290136,545644,64217,-1,795320,805644,-1,911133,-1,-1,-1,168891,-1,-1,-1,-1,695455,220612,-1,827174,162833,22856,371273,-1,180849,983784,814177,827091,-1,-1,310184,-1,-1,-1,-1,-1,171494,-1,-1,-1,587527,299851,-1,-1,-1,-1,-1,43090,557653,369092,573962,931338,-1,910548,-1,37299,-1,879128,-1,-1,469365,-1,-1,-1,-1,715947,-1,218150,827116,-1,907566,-1,405419,465787,559440,-1,452855,716257,-1,-1,798157,-1,794125,531644,212894,-1,580246,764156,507599,-1,-1,-1,467558,-1,413138,356688,-1,818464,-1,-1,992693,-1,-1,370517,446315,616016,-1,-1,12565,-1,-1,18990,745945,-1,957881,-1,-1,964420,-1,305416,177240,-1,-1,-1,-1,932981,179887,468423,292245,-1,-1,946688,-1,51243,57465,110336,-1,-1,966807,498207,-1,-1,-1,232441,219946,-1,45650,762542,708132,803327,644545,148374,-1,-1,390473,208094,-1,-1,274372,690996,-1,146767,938894,-1,-1,-1,173157,547840,-1,-1,725448,-1,570610,-1,926282,-1,953607,-1,832594,410517,-1,-1,329449,827259,326002,17794,-1,682358,684912,541910,-1,-1,384447,40732,-1,903486,241669,307675,-1,-1,893321,194291,-1,-1,-1,-1,354260,-1,-1,-1,-1,-1,-1,-1,-1,-1,892916,-1,555084,378720,-1,-1,-1,-1,405965,118588,439638,943994,-1,831942,894212,346678,997261,960860,307851,687136,227865,208466,83083,-1,-1,-1,139978,878812,-1,461806,-1,-1,-1,-1,-1,-1,277413,397579,886539,-1,124407,638880,396551,-1,-1,-1,925865,-1,576482,-1,21848,975053,-1,-1,130835,376948,609020,-1,-1,-1,359991,355149,792100,-1,-1,290354,133765,200477,-1,-1,-1,889614,429242,-1,-1,-1,-1,825225,-1,-1,-1,-1,-1,594693,-1,504975,-1,-1,-1,-1,-1,-1,-1,-1,-1,866707,-1,-1,523185,764509,-1,-1,-1,-1,-1,669050,836024,144964,-1,262741,-1,915074,-1,-1,742053,654929,504085,207823,259007,-1,909448,750343,741759,415148,-1,143854,61565,860596,921201,-1,-1,-1,-1,857180,-1,422210,711373,925995,202121,-1,-1,455800,-1,532043,999153,998570,-1,795508,-1,20914,-1,-1,597305,921462,-1,564902,-1,225490,-1,400469,-1,-1,-1,-1,-1,654204,-1,-1,-1,-1,561467,-1,484511,678532,-1,964302,815405,-1,-1,-1,110620,226932,447383,-1,830079,-1,-1,-1,-1,-1,-1,-1,-1,-1,967505,-1,955168,951424,-1,-1,-1,495546,563066,714573,-1,980446,409785,-1,-1,-1,901902,-1,107920,-1,-1,-1,-1,471756,-1,-1,-1,209769,-1,296986,464774,230851,744395,-1,211491,941325,-1,635539,199279,744497,19036,-1,-1,458668,-1,-1,656688,-1,-1,-1,-1,-1,320353,-1,-1,-1,-1,323274,733669,897598,967483,889556,198596,-1,683385,876972,-1,-1,90129,-1,145478,811691,688342,-1,312328,-1,598561,-1,-1,39496,-1,102918,-1,-1,374289,-1,-1,500215,-1,-1,861903,462356,958622,175248,96438,372102,9558,521523,802454,-1,871666,-1,648278,487417,-1,64213,269045,102142,237786,485919,804035,131686,-1,-1,515931,-1,-1,-1,-1,625063,-1,150739,349909,-1,-1,780138,-1,-1,557747,54663,-1,627920,454065,-1,662262,889272,-1,-1,-1,-1,271800,-1,-1,680121,322033,789155,371201,-1,409898,-1,-1,-1,-1,888459,966581,708807,-1,-1,246023,261419,-1,-1,-1,-1,675425,185803,-1,786881,485039,-1,-1,-1,-1,249148,918881,375592,544294,803725,-1,255544,-1,904589,787401,-1,-1,-1,934487,-1,-1,127647,783232,-1,-1,943736,-1,450342,996411,679284,735572,-1,-1,-1,541278,-1,265105,168382,-1,155717,-1,168901,-1,-1,923967,-1,-1,-1,-1,-1,126162,-1,-1,-1,230043,-1,871656,495257,35256,385211,-1,645966,-1,-1,-1,-1,-1,967538,277937,-1,267843,835435,-1,219376,22189,-1,-1,-1,631995,683567,-1,532180,906653,-1,168053,-1,-1,-1,536374,-1,-1,-1,730320,-1,-1,-1,789735,564312,-1,-1,-1,702478,-1,140013,-1,-1,-1,-1,-1,-1,-1,10083,-1,575496,-1,-1,446414,932707,191648,-1,-1,968673,530823,-1,-1,510456,-1,-1,110393,261810,276579,504019,723878,-1,966323,723452,-1,879592,-1,-1,-1,806128,-1,-1,58085,-1,-1,-1,453561,-1,743586,322935,-1,-1,600889,-1,57789,-1,296181,-1,72181,-1,-1,401488,-1,-1,-1,-1,-1,339582,-1,-1,76987,968429,-1,-1,-1,-1,-1,896085,-1,-1,-1,-1,-1,-1,258928,134209,-1,772900,829874,-1,11448,-1,-1,448606,34297,-1,-1,742577,-1,580202,64961,-1,-1,164387,-1,-1,597292,462512,989475,636494,-1,526423,-1,-1,12216,213294,-1,496095,788013,-1,847414,-1,276689,674954,-1,-1,800598,-1,-1,-1,642966,176810,-1,-1,-1,375618,586169,-1,-1,-1,-1,839241,-1,-1,-1,993098,-1,670990,478656,-1,860297,-1,551432,872617,-1,-1,-1,905997,72630,-1,82146,729450,-1,-1,-1,809018,-1,-1,994782,-1,931726,619129,-1,-1,858448,-1,116042,129830,-1,685454,-1,-1,-1,-1,163457,666170,129367,764242,-1,-1,-1,-1,-1,290730,966264,-1,14152,557895,659125,-1,585261,-1,127984,-1,-1,224971,630868,-1,6499,-1,-1,-1,-1,-1,-1,-1,-1,498051,-1,903290,-1,225788,46920,-1,-1,377769,757527,481323,-1,388232,-1,-1,460295,60993,-1,-1,430293,620548,90832,40131,-1,438767,-1,316333,-1,144759,-1,794696,376078,-1,810005,273201,-1,-1,-1,-1,-1,990848,-1,287761,-1,375858,-1,-1,74446,-1,-1,-1,519940,242106,257238,262824,-1,267666,855987,176200,-1,679749,94404,-1,-1,-1,-1,645491,58653,-1,-1,510395,697892,36109,-1,-1,-1,280811,549203,-1,194263,176142,817935,-1,-1,119501,-1,-1,434174,746452,895108,685312,218859,-1,-1,-1,930952,-1,568383,957364,235889,729923,-1,-1,120145,-1,716329,-1,-1,216953,-1,-1,-1,-1,-1,831794,-1,-1,636272,67645,853852,322533,-1,-1,-1,191694,-1,963677,533452,-1,760391,-1,-1,318757,-1,-1,653679,-1,-1,694454,637793,-1,-1,885668,847672,-1,-1,327166,-1,748714,-1,900828,-1,-1,-1,496706,-1,-1,-1,342367,385558,705494,-1,-1,248524,646670,339600,-1,-1,916167,-1,764191,618556,-1,788212,528214,854832,-1,-1,711822,-1,87816,287624,-1,-1,-1,-1,428845,-1,161180,-1,123249,562769,581605,4348,-1,-1,323325,-1,280273,-1,628273,-1,-1,534591,150351,-1,90165,-1,558256,775095,294477,446492,817016,-1,-1,95964,177268,-1,282601,856010,-1,-1,447919,-1,-1,476870,-1,118458,-1,-1,-1,-1,130692,68351,285634,512800,844920,793924,-1,430674,939357,798362,-1,594453,-1,-1,86012,-1,46187,-1,-1,-1,806111,394319,523603,607287,269624,-1,-1,412386,-1,-1,-1,404089,598644,401081,355119,-1,933954,944052,-1,615297,-1,-1,63325,809030,-1,-1,791459,-1,553441,-1,190361,-1,116747,-1,-1,699745,431088,-1,399983,-1,876247,-1,-1,-1,717982,-1,-1,-1,-1,599015,446678,113939,-1,574308,-1,-1,-1,-1,-1,402971,-1,-1,70494,-1,601747,91791,-1,-1,-1,330519,-1,949710,200148,179025,-1,588844,486518,863560,369872,-1,861474,-1,225734,-1,234912,-1,854628,356515,-1,352114,-1,455488,-1,914418,697611,-1,-1,663994,988627,-1,-1,-1,-1,-1,-1,-1,-1,708259,866758,-1,506685,-1,-1,349750,-1,-1,-1,-1,137996,-1,-1,10818,972524,-1,708630,376226,392083,740429,330060,918115,-1,238387,-1,-1,91750,355686,359801,436355,-1,-1,-1,61735,-1,-1,906662,-1,937555,142200,119630,-1,-1,-1,-1,-1,-1,-1,-1,-1,298847,242908,986857,174697,-1,198653,976872,143345,-1,819325,595620,297147,80125,241945,-1,-1,452109,-1,976128,775444,711758,-1,-1,29320,428639,-1,-1,-1,170582,-1,-1,-1,-1,16455,31813,-1,607013,717525,960871,-1,445851,261423,145616,878759,884421,-1,642096,-1,-1,156785,670809,-1,-1,697904,-1,-1,292856,409395,138165,-1,126880,847335,-1,648129,-1,-1,814966,726516,563937,-1,340022,-1,823113,-1,-1,-1,-1,235534,-1,-1,807117,-1,-1,-1,-1,-1,-1,-1,-1,-1,622414,-1,-1,-1,616516,58154,-1,328633,-1,-1,39150,791310,124198,-1,673874,-1,-1,422989,-1,-1,-1,293637,-1,-1,390905,589318,453257,745181,702449,10610,-1,551916,-1,-1,813078,-1,172406,-1,-1,-1,870681,255667,509339,-1,-1,-1,665770,-1,887914,804161,952051,-1,-1,390688,945147,-1,-1,237097,-1,379141,68035,813305,448381,860456,684355,-1,-1,-1,-1,279997,-1,-1,897257,243978,763792,-1,-1,368459,-1,-1,-1,530280,-1,740003,556079,781543,-1,440895,190757,-1,-1,-1,854456,643649,-1,948673,-1,825342,-1,471790,285258,585767,-1,-1,-1,312532,34432,-1,-1,-1,94588,-1,379177,-1,816690,-1,-1,-1,620655,923991,-1,-1,24406,163531,697341,252720,340960,-1,640713,682452,487154,191225,-1,-1,-1,-1,374310,-1,-1,272444,-1,-1,773894,680298,-1,-1,-1,475300,418554,954627,449959,-1,227520,-1,227312,-1,-1,913643,905238,-1,194223,-1,-1,-1,-1,859599,26000,-1,-1,87270,223519,-1,83803,-1,801519,730352,-1,138855,930418,-1,758327,260173,228450,-1,383612,-1,378223,-1,-1,865637,-1,-1,363960,-1,-1,760426,888410,-1,864404,-1,-1,839384,17817,79274,220829,184205,438736,467088,-1,-1,530015,-1,246178,-1,-1,477969,442522,962472,-1,761056,-1,-1,-1,-1,-1,-1,-1,-1,-1,564533,-1,-1,-1,-1,420573,-1,231307,231121,302374,-1,369847,833890,918736,735780,813130,717941,-1,-1,-1,-1,693086,325207,-1,334352,826490,-1,193594,407111,-1,-1,-1,997631,-1,-1,-1,-1,-1,-1,236444,844208,683563,484580,489452,362967,-1,735010,-1,271095,-1,794059,110554,481989,-1,344381,684356,217887,-1,-1,-1,-1,-1,-1,668188,-1,-1,426004,-1,-1,-1,731656,34540,793301,-1,-1,293256,-1,296639,100843,774514,-1,-1,756049,70011,-1,-1,619702,-1,-1,-1,-1,-1,851807,-1,128053,365909,18647,-1,-1,-1,571784,927466,211281,-1,-1,603484,-1,-1,-1,-1,293130,-1,232943,-1,567331,177007,686991,-1,-1,601124,-1,695843,790508,-1,-1,511957,-1,666049,-1,815792,154151,-1,753690,-1,-1,-1,-1,620716,733299,695828,719076,109257,-1,428995,-1,-1,-1,-1,-1,-1,866206,-1,408114,-1,527649,102311,-1,372895,-1,-1,477917,214088,358122,592469,-1,655049,-1,488501,32971,-1,842581,175182,-1,-1,-1,916314,-1,528344,507591,-1,882911,900569,-1,445080,-1,935337,360465,-1,-1,-1,143776,-1,-1,131294,536594,-1,-1,-1,638848,650815,690671,610520,-1,19663,396077,733920,51091,-1,424074,729453,786944,-1,-1,807660,593424,-1,-1,398668,-1,-1,-1,-1,-1,975314,564885,-1,-1,-1,778446,-1,-1,760303,-1,306076,-1,626554,318815,-1,795947,612623,348028,-1,-1,240273,-1,166386,-1,197029,21645,526551,-1,-1,-1,582630,654470,-1,-1,-1,483177,-1,408335,-1,870959,-1,306276,941249,-1,-1,568576,305528,-1,-1,74639,-1,-1,-1,-1,966204,-1,953616,-1,-1,-1,375743,894575,-1,857094,371030,-1,880971,-1,-1,-1,878951,656621,550134,320574,-1,-1,-1,-1,-1,-1,-1,442183,380485,328450,-1,688255,672211,183100,249024,-1,-1,444808,-1,451947,211535,-1,559887,-1,129899,962075,258618,76402,-1,-1,-1,798895,-1,793338,-1,-1,811128,-1,899197,811989,-1,404865,3878,200907,-1,272495,-1,-1,630218,144876,263335,246051,257755,529366,227543,461582,44815,-1,319159,-1,976147,-1,29586,-1,-1,-1,144467,747905,773689,-1,993869,599406,569370,-1,-1,-1,-1,-1,179140,66224,-1,229989,-1,-1,-1,764816,-1,273197,498380,-1,-1,971511,551284,-1,-1,271199,-1,266436,246852,-1,538390,546147,-1,-1,-1,-1,379969,-1,-1,199898,114469,229387,-1,-1,-1,57164,484026,-1,341103,647717,-1,-1,634444,-1,-1,574265,571410,-1,958637,-1,-1,-1,894598,281903,-1,466502,-1,430931,963797,83986,-1,621671,835925,316953,169821,979476,-1,-1,-1,-1,-1,-1,-1,-1,156537,-1,958732,454445,851306,980452,394011,120649,311546,-1,807423,487230,549968,101647,-1,531440,742488,-1,-1,128484,889213,349674,-1,669417,744206,167707,-1,834962,969052,374311,73285,165681,-1,818409,462152,352220,99943,-1,-1,55784,729475,401962,90151,586688,-1,793364,186299,625593,-1,-1,-1,24707,-1,86343,-1,407220,-1,-1,-1,552618,-1,834367,517033,-1,-1,328378,648275,888694,-1,608842,537380,274772,970467,816076,920598,268659,-1,-1,-1,447021,-1,845365,-1,250106,-1,-1,-1,906292,-1,-1,293306,821983,-1,-1,-1,-1,257932,-1,388930,-1,980130,-1,-1,787785,456130,706910,65011,-1,-1,-1,-1,-1,-1,192296,-1,836458,-1,447039,-1,-1,-1,-1,-1,-1,-1,691137,235706,270570,525759,-1,208667,714402,-1,-1,998593,514232,-1,516277,161490,-1,-1,99528,-1,-1,258058,-1,-1,512998,155456,-1,-1,-1,-1,-1,195892,-1,-1,567725,-1,-1,-1,781833,-1,-1,-1,981718,-1,-1,614711,-1,-1,648734,37658,-1,-1,619762,-1,-1,751714,266667,-1,-1,-1,874303,-1,-1,-1,-1,-1,78480,649590,-1,-1,232018,388211,146686,-1,-1,-1,-1,-1,-1,-1,-1,737912,-1,495136,-1,-1,-1,886395,-1,-1,114324,-1,595603,-1,919142,-1,-1,-1,437194,765820,-1,213521,-1,923509,107768,-1,536669,-1,-1,755096,-1,626052,886097,402927,-1,-1,16653,353756,-1,-1,-1,645364,-1,26216,-1,414381,-1,390393,647204,-1,-1,-1,2489,-1,643744,669352,-1,-1,-1,131959,882601,-1,79483,974921,-1,845900,-1,-1,289839,-1,-1,-1,324559,-1,-1,664625,-1,744349,447223,-1,89172,733150,560391,-1,719569,707883,-1,-1,253318,-1,546077,-1,-1,-1,-1,216845,-1,840033,-1,693322,978114,-1,-1,-1,687368,-1,-1,358641,-1,-1,-1,-1,-1,644073,408034,208495,-1,-1,772213,-1,-1,254807,-1,-1,-1,-1,242011,-1,-1,-1,872790,506124,466464,101871,-1,363450,54442,50589,-1,-1,777744,284761,-1,-1,799549,175471,-1,645983,296379,-1,-1,-1,623258,-1,-1,354125,242500,-1,192037,877850,844609,752204,-1,-1,-1,105351,-1,-1,843683,-1,-1,161887,-1,459685,997783,-1,966197,117489,-1,406662,788727,718129,-1,-1,-1,326845,843498,590064,369137,-1,-1,50364,-1,136126,-1,-1,787163,575709,150350,-1,-1,996788,245478,825193,-1,-1,766242,-1,993679,-1,-1,110372,-1,166696,-1,834446,-1,758770,-1,-1,131018,-1,684000,938122,-1,-1,-1,729424,813737,288580,251155,-1,568352,388065,-1,-1,-1,-1,-1,-1,-1,-1,862313,-1,-1,-1,-1,215626,264924,596683,910794,-1,-1,-1,164954,859165,284024,-1,808033,-1,519125,-1,208013,-1,638097,779246,24927,530084,-1,-1,725536,-1,-1,-1,198261,-1,-1,-1,-1,-1,-1,-1,-1,-1,82005,-1,542781,82990,-1,428643,427478,-1,-1,-1,943164,-1,162221,162826,380615,55147,975807,362825,-1,-1,-1,735607,-1,37970,-1,12491,-1,-1,-1,488442,-1,-1,967749,259810,-1,-1,682357,337407,-1,156835,880026,664999,-1,-1,-1,-1,-1,615506,-1,359639,-1,815519,-1,-1,338787,-1,-1,-1,-1,-1,-1,-1,389221,-1,444292,609283,975313,-1,-1,-1,-1,-1,287118,-1,-1,11261,874327,-1,-1,268602,-1,-1,70532,-1,519368,705941,-1,380867,792609,-1,542363,714519,236890,-1,-1,-1,-1,540930,-1,-1,-1,129965,-1,729907,67660,136044,128922,106184,-1,-1,-1,-1,-1,-1,566521,-1,803272,-1,47520,409243,-1,686376,382024,231826,-1,182900,-1,-1,-1,-1,-1,-1,-1,-1,243594,-1,-1,-1,-1,602741,298702,-1,-1,-1,-1,-1,753759,457020,-1,-1,-1,278604,-1,374710,409501,-1,26355,-1,683580,659262,-1,-1,132146,-1,884621,800560,-1,-1,-1,964548,484114,-1,393330,-1,336011,-1,832369,399636,-1,-1,-1,-1,572403,-1,150258,696676,371802,281266,278866,-1,-1,-1,1029,836804,336760,-1,-1,231978,900590,-1,-1,-1,717912,-1,-1,-1,982515,-1,-1,-1,232234,853883,931527,394856,-1,130308,612602,-1,317254,-1,-1,-1,253943,-1,-1,-1,840436,873478,416271,-1,-1,-1,-1,359240,543120,-1,-1,-1,784522,-1,1767,564703,-1,547778,97109,829429,842685,383868,-1,-1,371406,694325,712019,-1,782936,34283,-1,-1,-1,724290,-1,938999,769405,655223,-1,-1,807240,-1,915534,-1,-1,994420,-1,469233,73589,924219,921256,595559,204716,-1,-1,-1,701023,-1,-1,-1,-1,-1,-1,-1,-1,-1,448230,-1,-1,133900,-1,138108,-1,362861,319979,-1,549573,680642,-1,342690,325108,-1,813447,-1,421806,554577,-1,186233,626173,-1,396485,328696,-1,-1,349741,836031,-1,-1,283751,561978,-1,-1,79451,-1,823241,166026,730466,800764,555992,-1,-1,255492,-1,70615,-1,665846,-1,19357,-1,929439,-1,-1,340215,935484,392987,967883,-1,-1,593842,615389,-1,-1,540056,-1,549244,201457,414105,893154,335844,-1,-1,-1,825326,132243,778549,-1,120411,-1,-1,-1,-1,45481,682338,-1,228139,999124,-1,295641,-1,771721,-1,-1,-1,217294,613920,131887,-1,-1,90794,883174,474086,580975,-1,-1,566515,-1,-1,206198,541155,761177,630341,-1,-1,-1,-1,-1,-1,-1,798714,201555,801294,-1,-1,-1,137931,-1,-1,402420,589242,591818,-1,352187,544695,531715,-1,564850,927606,-1,-1,-1,294194,490973,36104,409492,234100,-1,242963,952614,-1,405061,-1,-1,-1,-1,-1,-1,-1,-1,-1,271825,-1,-1,-1,-1,649587,-1,-1,22550,-1,-1,616196,327410,-1,964573,509048,597742,-1,-1,-1,-1,-1,85762,168139,-1,-1,507501,-1,-1,164496,722949,-1,167394,-1,601521,-1,-1,-1,432538,-1,903622,-1,-1,365756,-1,371795,902252,-1,-1,306719,-1,-1,-1,809776,-1,-1,-1,-1,221918,569368,-1,757459,391088,-1,161450,371474,305208,375121,83148,180191,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,804962,-1,755264,-1,63776,-1,-1,-1,618969,-1,-1,203974,876017,-1,-1,-1,-1,-1,993800,124824,810278,-1,655781,747574,-1,-1,-1,444755,-1,761903,297728,330297,-1,701539,499746,-1,866453,526626,-1,831596,497378,874954,-1,77942,-1,236131,37990,-1,703305,-1,-1,832138,-1,529754,-1,831153,-1,-1,-1,-1,134948,-1,798380,847667,-1,969096,-1,-1,779841,621688,-1,212083,-1,917043,-1,-1,-1,-1,-1,-1,716531,-1,-1,-1,22838,-1,-1,330563,827408,-1,-1,-1,122146,-1,586208,-1,195634,-1,717049,-1,939184,-1,-1,-1,-1,254854,-1,550971,-1,536652,832395,-1,-1,-1,711890,11191,-1,616873,909567,-1,-1,216636,-1,-1,178306,712528,-1,962973,-1,-1,-1,-1,-1,858835,859423,-1,-1,805147,725604,-1,394837,346234,-1,-1,-1,-1,844098,37766,70206,-1,531119,-1,411096,-1,-1,-1,399234,-1,974236,-1,-1,485743,-1,-1,263494,365056,-1,944507,-1,-1,86975,404277,-1,-1,-1,-1,260178,-1,-1,80704,26070,-1,514640,-1,-1,510653,-1,-1,-1,49983,-1,-1,-1,559255,825383,-1,-1,-1,625885,9808,524947,-1,-1,-1,21743,969172,-1,254106,-1,-1,545586,138105,-1,589652,991411,468276,-1,-1,-1,98856,-1,861294,103799,291368,-1,878729,838120,-1,84522,843156,-1,548610,-1,852385,110801,-1,848703,-1,-1,-1,-1,-1,-1,3206,51002,-1,-1,-1,-1,673253,481806,-1,-1,-1,446846,-1,590810,-1,-1,-1,-1,-1,493776,-1,-1,-1,-1,187772,889359,174463,-1,53,527979,69247,818582,770302,729924,-1,81415,-1,-1,351716,-1,977491,-1,133563,883957,47563,424775,496066,-1,570165,889261,755467,-1,-1,-1,976001,861587,214782,749479,-1,27760,-1,735646,-1,-1,567327,48611,856434,71654,-1,682701,114747,-1,-1,-1,447153,604076,879585,783076,-1,148467,909527,177179,36131,-1,881803,835091,102194,-1,-1,-1,377824,-1,459865,490235,-1,-1,504735,-1,-1,944983,-1,479909,-1,-1,656028,-1,-1,-1,181341,-1,-1,-1,-1,212269,814346,-1,-1,677070,910495,548763,-1,-1,120618,-1,-1,-1,199767,154269,512383,-1,41581,986550,-1,969563,-1,899002,-1,-1,764566,-1,809178,243099,796714,498708,-1,-1,-1,392026,-1,-1,22111,33083,-1,309592,856397,976157,111068,651340,-1,397913,-1,-1,129191,-1,699749,760238,412886,59195,-1,-1,56388,970462,857494,192346,836346,-1,892262,780192,-1,435678,76715,768595,-1,-1,-1,925278,663639,999239,-1,335469,-1,-1,715097,500112,-1,-1,-1,-1,38043,-1,29551,947462,17046,-1,135937,-1,-1,908659,767753,746976,-1,439107,737544,870604,-1,540647,569590,792243,233606,232311,54158,-1,-1,815990,771142,605726,502008,-1,-1,458069,-1,153413,-1,-1,-1,682116,-1,-1,-1,-1,-1,740453,-1,723188,11005,-1,108115,684768,424469,90801,-1,56505,58590,582976,-1,911105,-1,106914,-1,-1,169406,-1,664479,26422,-1,-1,-1,957678,-1,216576,448842,-1,53135,695275,-1,-1,-1,240324,163535,47130,269934,245261,610947,571121,-1,803789,131816,-1,609279,901399,320161,824565,-1,416354,-1,187449,-1,924489,-1,287704,474503,-1,-1,773205,-1,24147,534903,-1,-1,-1,-1,419885,-1,30044,-1,-1,-1,340638,-1,-1,-1,833756,575793,950075,457245,-1,-1,-1,-1,523171,668727,182007,-1,-1,161755,-1,-1,-1,-1,-1,-1,-1,-1,948444,-1,161357,-1,-1,117044,450908,-1,-1,-1,777554,-1,931021,105840,-1,-1,-1,-1,213033,-1,-1,908204,-1,144106,-1,536297,695899,974892,898822,932895,639903,724586,447374,-1,769947,913212,508821,180821,870290,-1,337092,-1,-1,-1,-1,-1,850946,336732,347958,616161,-1,-1,211199,729059,512319,355267,-1,834814,897565,-1,-1,-1,692859,-1,287148,-1,897982,71002,-1,-1,318898,56531,-1,458807,31311,146826,-1,603955,-1,-1,-1,-1,194725,789482,353602,-1,671834,-1,483026,432841,-1,-1,200893,-1,-1,-1,89544,-1,285604,-1,-1,946537,-1,-1,-1,645186,375997,-1,-1,700950,-1,639155,102544,141704,153517,-1,251506,-1,964002,-1,655844,909870,986681,294744,-1,233221,946681,243242,-1,-1,531643,469377,804229,770212,776315,-1,918958,970368,941892,900944,86574,511715,579129,113888,-1,-1,946636,-1,632974,-1,857614,-1,54462,-1,100441,113426,-1,-1,619841,511207,20648,-1,578494,-1,451084,-1,364446,-1,946998,973016,478436,96141,-1,387974,-1,-1,-1,-1,741873,994251,-1,-1,706591,-1,-1,989709,108746,349787,-1,-1,367927,-1,66810,-1,561878,-1,-1,805278,126895,900692,-1,544151,549539,32890,217527,186458,-1,-1,362014,97738,56453,903647,-1,717740,-1,-1,-1,420708,-1,-1,-1,-1,-1,297264,591331,-1,41965,970552,-1,695029,-1,886966,775073,575581,-1,390160,383701,-1,505466,396563,997105,-1,43717,341878,-1,666622,752889,674166,-1,43336,-1,411659,984927,-1,737271,212396,-1,622061,-1,-1,412447,-1,-1,-1,-1,-1,821101,397302,914245,405708,-1,230784,-1,421345,286661,-1,-1,-1,581310,715605,958362,895287,876333,542702,990562,727399,725091,626396,754907,-1,-1,999466,991064,-1,-1,-1,871726,58190,-1,662845,398715,-1,574730,605731,802381,61640,-1,609505,-1,413389,-1,95104,4767,-1,-1,742990,-1,-1,692737,767522,-1,610597,818303,464286,-1,592229,155373,-1,435926,-1,-1,264624,-1,-1,-1,433063,-1,-1,998280,940280,-1,-1,987555,-1,287796,844925,87604,500677,-1,521995,-1,966726,520328,-1,-1,-1,-1,-1,240040,-1,891859,249887,-1,421840,583936,473432,576119,-1,593096,280688,-1,-1,-1,91048,-1,675935,-1,313290,-1,-1,702760,505099,415066,9719,635116,558871,24588,622868,983569,-1,-1,-1,715462,-1,-1,887620,649831,834392,-1,-1,-1,195336,-1,-1,373587,351865,-1,496244,261489,285968,366377,-1,-1,407201,401644,-1,563348,-1,473896,-1,634032,-1,694733,312013,-1,-1,996619,-1,-1,855078,-1,38165,798965,915280,868191,885843,-1,182895,746019,581608,-1,-1,-1,-1,-1,-1,972616,309444,-1,-1,-1,646111,932514,920636,913046,-1,-1,955371,837366,-1,91135,-1,-1,-1,-1,911919,861794,191370,110064,-1,91765,-1,310369,899227,-1,681503,-1,59449,-1,-1,-1,-1,-1,-1,-1,549840,-1,597446,-1,362071,-1,-1,-1,574659,703513,-1,-1,-1,-1,953489,463644,427165,377120,-1,979155,-1,-1,765755,-1,143889,-1,-1,192064,-1,191357,-1,-1,633886,-1,969527,-1,-1,639658,-1,-1,760243,-1,-1,-1,-1,138337,240605,-1,526413,303939,851526,166455,-1,-1,-1,-1,-1,206699,236241,-1,-1,972640,34824,424646,205558,-1,-1,-1,883029,-1,414155,348284,11554,783961,-1,505689,617573,-1,604884,37106,790067,-1,491222,893338,-1,-1,-1,941343,-1,918915,-1,488319,-1,-1,-1,-1,-1,653586,556190,548755,443715,-1,-1,908002,947558,887139,220283,-1,584428,260841,-1,31325,-1,437173,799296,855282,94030,868424,-1,680425,366585,-1,138550,-1,415328,-1,602073,6792,-1,217450,23082,-1,406663,-1,396809,797186,525166,365675,504458,957345,783308,-1,-1,-1,-1,-1,-1,-1,-1,415065,977031,-1,-1,19212,623683,502122,612787,652567,-1,-1,549679,354100,-1,-1,-1,-1,884668,-1,-1,612032,900459,472494,-1,638822,-1,-1,278819,807385,910588,775990,317929,-1,3187,-1,888671,-1,-1,48943,965209,-1,-1,259887,-1,979305,19923,504446,-1,40077,501619,-1,-1,133698,-1,-1,-1,-1,530785,-1,-1,-1,38103,66372,225600,-1,-1,782060,-1,-1,-1,-1,-1,-1,945095,20068,31096,425423,-1,-1,-1,-1,316353,446541,934261,714947,-1,46802,326348,370160,-1,-1,-1,29489,288642,481014,272786,125464,551476,-1,-1,-1,888500,-1,896556,-1,761955,267955,-1,-1,503924,-1,-1,-1,-1,-1,316193,403495,-1,8612,-1,-1,426702,140851,-1,-1,-1,-1,83839,-1,-1,362101,930986,972466,-1,-1,875814,-1,492514,-1,-1,201468,-1,259233,761885,-1,396501,-1,993266,-1,-1,-1,76537,-1,-1,-1,345166,-1,-1,-1,831736,602072,119882,488537,-1,-1,-1,-1,-1,174087,-1,-1,700818,-1,-1,559082,894488,525051,119782,-1,-1,-1,-1,545032,225610,461082,-1,-1,-1,-1,-1,735217,78221,607648,-1,956287,856275,775848,-1,-1,110845,429715,-1,-1,276325,242482,229499,-1,748134,612680,-1,157092,-1,997042,-1,946163,-1,729316,488759,-1,-1,-1,4486,911643,51474,260164,289063,-1,-1,-1,-1,-1,944520,666803,765872,-1,-1,769061,-1,-1,-1,899906,252961,863105,416234,-1,941238,620451,460243,777944,120825,339342,-1,-1,523430,772387,-1,931535,-1,415783,-1,-1,-1,-1,-1,164513,-1,444244,-1,103021,976755,614230,741701,755953,-1,140061,154685,612784,446977,-1,-1,-1,-1,105757,403582,411852,-1,312887,-1,-1,958942,753866,437754,345890,-1,-1,20005,-1,-1,132019,517720,490465,733651,4685,267305,800584,373113,763375,-1,-1,665685,292583,384119,818750,415016,-1,834945,-1,-1,287767,-1,-1,677771,166998,453957,-1,-1,216599,-1,238393,381068,-1,-1,96042,254004,-1,-1,-1,294269,-1,112250,624744,179729,204268,364512,-1,742219,-1,95854,-1,-1,607102,503035,-1,-1,433612,-1,242484,-1,483727,350693,-1,87733,-1,250185,-1,601056,-1,-1,-1,-1,754430,160379,684357,-1,66193,803595,-1,147531,-1,96882,392187,-1,-1,435349,853547,114934,831218,109953,-1,-1,-1,893990,128159,110700,209822,263142,871657,440499,354807,679093,-1,653624,527552,301913,-1,728224,43256,-1,-1,-1,937221,666575,468449,-1,-1,-1,99529,-1,97899,259621,547861,277441,209354,776225,753809,429045,-1,723295,-1,213135,-1,285951,672068,-1,581548,-1,-1,-1,-1,685659,-1,-1,490268,253529,810916,-1,-1,95805,-1,495647,-1,-1,878469,-1,-1,116369,816755,-1,33493,985156,674842,516915,-1,-1,461671,754846,791275,-1,19814,569887,-1,-1,249797,-1,197130,411287,-1,-1,986929,-1,-1,496603,-1,-1,-1,758743,-1,-1,-1,-1,50016,24968,-1,-1,-1,388950,-1,225252,451516,-1,-1,905099,-1,-1,-1,44877,636358,-1,-1,-1,288142,176802,173746,-1,548266,229523,306277,-1,196136,993546,-1,-1,-1,89720,133923,511005,-1,755457,86522,567251,-1,-1,-1,366663,-1,-1,379370,-1,812077,996825,-1,12199,730699,-1,-1,-1,-1,196605,583652,-1,137677,108116,553580,-1,-1,835864,-1,-1,66026,725927,-1,-1,-1,-1,245805,-1,-1,660064,322475,-1,-1,571799,-1,611712,-1,674551,561333,424500,882514,622491,-1,-1,482901,-1,488361,-1,-1,-1,352741,765593,-1,-1,693845,749487,25232,-1,-1,444599,348894,-1,140418,904650,-1,-1,439023,168415,843045,100902,347981,675370,969460,-1,641944,612500,9838,216562,-1,406646,566043,-1,696886,34511,859195,-1,470057,-1,690744,357367,894744,-1,603868,45566,-1,-1,-1,349525,436583,182679,-1,-1,935339,-1,-1,-1,86191,-1,413616,-1,-1,666619,409953,12651,948470,359995,125088,979072,-1,-1,250938,496908,803358,-1,-1,-1,-1,-1,4792,463977,-1,437758,-1,31967,-1,-1,-1,989966,-1,-1,-1,259121,-1,60699,-1,-1,-1,-1,-1,-1,678943,-1,-1,995213,231688,-1,5190,464745,-1,-1,863881,-1,-1,-1,-1,-1,-1,-1,43635,760546,-1,323773,-1,751737,-1,-1,-1,438415,-1,280192,-1,476188,-1,-1,30286,-1,-1,-1,849177,753922,-1,-1,602849,-1,-1,348313,-1,-1,-1,-1,981042,770340,-1,661309,-1,100622,2880,150367,126058,990453,639394,832860,-1,352369,-1,826650,-1,869563,-1,618698,208003,-1,272016,743013,545591,586469,-1,-1,-1,-1,158678,-1,-1,512526,441372,-1,-1,895042,-1,696936,517492,-1,-1,-1,842631,-1,-1,340298,-1,-1,-1,-1,-1,161243,428775,-1,681573,850628,141311,631629,-1,-1,789479,749159,196560,-1,-1,-1,631094,989719,304067,558046,488902,-1,-1,178357,-1,521444,359652,429961,816541,415788,-1,-1,6533,203578,-1,-1,-1,-1,14662,780606,-1,-1,642591,255889,-1,-1,-1,209414,-1,-1,-1,-1,795546,736870,-1,-1,87693,822163,-1,885906,12981,550228,-1,675917,779714,501544,306155,-1,24657,315178,-1,-1,138650,431951,-1,32954,243839,-1,42086,-1,-1,268259,497577,-1,456141,3548,701682,-1,-1,-1,-1,920554,-1,107819,-1,-1,-1,854808,-1,295053,-1,477049,294150,57080,-1,-1,205278,84783,-1,309759,850331,-1,-1,-1,-1,860687,150686,222002,895721,73393,-1,137058,62778,903198,848268,-1,-1,539905,91314,156075,7639,-1,-1,29923,778986,-1,-1,885026,547823,333322,-1,-1,-1,-1,92273,-1,344321,41636,-1,811331,-1,99944,647282,313162,-1,571685,722955,72641,-1,-1,997617,-1,-1,-1,676123,-1,50794,-1,-1,313140,766950,-1,-1,-1,678646,522169,-1,38753,-1,227822,-1,343244,351876,772554,69157,64769,-1,844749,31645,-1,900396,-1,-1,-1,721247,942371,-1,-1,-1,562604,-1,11526,204055,475684,-1,-1,-1,379393,-1,-1,939845,937291,-1,285383,-1,-1,78286,797287,-1,-1,126567,-1,197653,-1,-1,328693,-1,-1,55723,760885,946172,296461,659000,-1,-1,-1,435081,931176,216932,142015,274307,482345,744325,114930,-1,908614,29157,75333,-1,-1,314207,129944,-1,-1,862474,559676,-1,-1,-1,-1,-1,-1,-1,-1,21022,-1,760118,-1,-1,165074,640070,568179,-1,780861,-1,869796,114338,-1,154192,496619,-1,-1,367219,821151,-1,850498,507855,971324,733045,-1,302813,344996,270197,-1,-1,985598,-1,-1,-1,970276,722717,-1,-1,-1,903127,42036,721891,-1,-1,-1,-1,-1,-1,-1,708854,624382,-1,163675,955013,661555,343042,28347,486533,590962,946305,960205,-1,797960,-1,-1,593345,-1,-1,-1,-1,-1,-1,329599,805799,-1,-1,188727,489944,385622,847372,28013,-1,556954,-1,541646,801292,-1,-1,445057,272048,-1,-1,-1,81603,947653,-1,-1,-1,210331,274283,-1,-1,-1,589709,-1,-1,165664,-1,-1,-1,-1,442927,-1,-1,-1,-1,-1,851067,-1,-1,375416,529680,548235,5804,-1,-1,-1,168306,-1,-1,374884,507927,193092,-1,-1,295095,699610,-1,-1,578872,-1,913766,-1,490154,-1,670325,135940,937288,929674,668915,-1,267629,664287,-1,546427,965100,219404,-1,235632,379098,312284,-1,-1,342600,180740,785789,374557,-1,860050,869454,-1,-1,979348,-1,-1,-1,195415,992409,500960,-1,805214,-1,-1,738435,-1,804578,-1,-1,-1,43372,-1,130063,945595,-1,549534,191598,240142,-1,204113,103855,877343,979404,359398,530029,768434,-1,-1,671119,753672,-1,-1,436673,849400,-1,-1,-1,926649,342430,962017,80674,330960,-1,85031,-1,-1,595943,-1,35540,794932,599824,219464,424450,-1,-1,-1,-1,352243,982537,-1,-1,-1,-1,793446,-1,346467,318523,877842,3171,-1,572665,-1,-1,444615,-1,523598,384354,-1,969269,377627,-1,340849,857673,660752,769857,51958,27412,530603,585583,138454,481563,-1,-1,-1,-1,515772,-1,678365,-1,185606,500930,-1,235967,519285,554466,118781,485995,-1,-1,-1,-1,371551,-1,598821,-1,140046,-1,517565,99288,601335,352716,-1,-1,229405,440058,594835,-1,-1,605639,795995,-1,-1,-1,563327,208455,-1,353524,473350,-1,-1,30558,955577,-1,693876,392750,-1,33453,857235,294042,-1,368123,-1,-1,-1,390923,-1,852696,-1,-1,354121,708915,85207,516021,610268,925488,863260,599678,109435,-1,-1,431578,470817,72071,-1,606915,-1,-1,314230,-1,791135,438965,205038,-1,953221,-1,726204,-1,-1,-1,-1,-1,439526,-1,-1,-1,-1,361744,110131,-1,-1,-1,-1,223272,983762,95515,-1,-1,-1,200341,260299,-1,-1,545841,590569,541331,-1,24144,-1,-1,-1,-1,905417,5533,-1,-1,682751,-1,502195,102807,-1,-1,-1,-1,588393,-1,248348,-1,495416,-1,-1,-1,-1,-1,571812,315837,80160,-1,622142,390291,-1,-1,863303,319702,-1,874259,227451,-1,683659,8633,-1,813537,394405,618254,-1,503341,450234,-1,-1,-1,905887,-1,657859,561273,-1,-1,587194,369380,-1,-1,-1,498397,-1,-1,983136,-1,-1,270980,-1,-1,382966,887279,-1,-1,-1,-1,-1,977800,-1,96215,481205,492032,-1,-1,977456,596053,-1,-1,-1,583678,-1,430803,-1,-1,78465,199206,378202,28250,654388,605937,15378,43820,76955,-1,-1,934923,-1,-1,-1,856993,414996,80497,558860,-1,-1,568562,49787,605671,-1,-1,-1,-1,952145,-1,980672,759556,427901,-1,891271,884039,870495,819219,-1,-1,-1,500264,-1,690167,-1,311570,506722,-1,815954,966332,-1,518116,-1,341502,110058,-1,420373,643754,-1,937407,75147,289632,45231,-1,413290,-1,-1,-1,-1,246396,-1,516062,675102,758405,578539,-1,-1,954936,-1,248670,625695,-1,-1,830552,-1,-1,-1,-1,755803,-1,333838,165828,758623,414089,-1,-1,934634,372517,148318,-1,133292,-1,733697,-1,-1,912784,-1,-1,16837,337047,503329,-1,-1,-1,584431,928049,139536,-1,-1,184598,538530,898259,285816,-1,445643,-1,151366,649079,475699,555875,-1,-1,623123,-1,141710,-1,373005,-1,603119,945355,980587,-1,773924,403207,-1,931885,56354,657430,877161,-1,-1,496108,898013,-1,12963,910487,-1,469034,312979,-1,695537,473233,-1,-1,-1,688583,-1,823881,-1,-1,-1,788596,-1,458264,-1,-1,-1,-1,-1,174765,924237,534950,302009,445353,732490,730647,-1,-1,-1,648164,480481,-1,-1,-1,561236,-1,-1,506849,456227,603257,-1,109751,989049,-1,-1,-1,-1,379869,526960,-1,118597,634969,676684,879122,762584,175266,-1,120679,123850,41434,873056,-1,-1,908296,552640,609228,136440,-1,807267,263991,-1,509728,-1,-1,755344,70240,-1,-1,-1,810790,-1,663175,-1,618662,547199,-1,939832,-1,-1,-1,-1,-1,-1,720197,220545,719110,379805,2657,938764,-1,174049,109841,-1,-1,342646,-1,-1,984873,-1,293957,11912,-1,-1,-1,291720,-1,639878,272848,-1,888285,219123,787959,925394,504654,-1,626717,-1,662595,-1,398355,846277,581765,957848,204280,282744,797288,636079,433767,-1,-1,-1,-1,79298,-1,-1,-1,538141,-1,118636,466771,-1,-1,974896,-1,-1,-1,-1,-1,-1,-1,-1,821095,193077,-1,13327,324453,-1,4222,-1,402688,-1,-1,359545,919271,997430,-1,494164,-1,-1,-1,-1,-1,-1,-1,180544,512196,-1,-1,736879,233961,-1,891659,-1,-1,359208,538292,-1,229048,-1,-1,303755,286308,-1,-1,-1,315364,875681,-1,260550,573329,-1,560482,-1,163721,483354,-1,-1,-1,-1,-1,231523,811699,988515,-1,877755,-1,-1,387025,456996,-1,-1,79677,135030,71146,-1,228620,-1,-1,790590,899238,-1,989815,-1,-1,-1,-1,-1,-1,-1,117602,890594,-1,-1,42516,-1,-1,-1,728723,-1,520682,543651,139887,-1,-1,-1,-1,-1,-1,292143,210122,298585,-1,-1,-1,129893,136123,-1,-1,-1,833819,376286,861818,-1,-1,-1,357882,936585,-1,180947,-1,-1,616647,-1,648134,391002,-1,920709,195063,-1,-1,-1,-1,-1,-1,543590,-1,470200,866843,-1,-1,-1,709858,-1,18540,193274,348607,168969,-1,-1,-1,767668,187813,581974,486582,438081,-1,-1,-1,-1,-1,806797,-1,-1,-1,-1,889923,-1,929093,-1,-1,-1,969312,-1,-1,-1,-1,-1,-1,-1,283311,-1,-1,868853,454704,736410,-1,-1,-1,396028,887034,-1,557274,109959,213218,739183,19948,771683,419968,-1,10092,311408,-1,938291,953450,597819,-1,921902,721400,-1,-1,526875,-1,238357,357664,-1,910475,-1,634260,-1,495959,-1,712559,19273,-1,769111,923701,889478,229403,654482,376638,973526,-1,-1,-1,700532,750180,-1,783608,915343,-1,-1,353923,591909,761942,-1,634523,-1,746253,-1,615832,787089,292150,-1,-1,567425,-1,-1,-1,-1,-1,80010,-1,256592,779973,95955,-1,-1,-1,973437,799450,-1,909923,332190,-1,366702,-1,-1,90003,458655,939810,116993,504360,-1,538796,685564,-1,-1,-1,110076,530674,-1,231369,-1,-1,-1,-1,-1,864849,48298,732798,-1,-1,105349,108977,899698,-1,-1,-1,71388,409615,464579,88367,379831,-1,-1,-1,717838,230917,-1,357458,-1,209172,-1,235404,812242,-1,-1,-1,794543,-1,-1,-1,-1,279549,37802,-1,-1,-1,-1,631419,-1,330998,-1,-1,-1,-1,396774,-1,435577,159828,910606,179485,-1,113384,-1,-1,-1,-1,-1,-1,583213,336303,-1,252492,307560,453121,-1,-1,-1,-1,701965,-1,958837,3896,-1,438369,40,-1,865999,-1,178416,68305,234308,-1,-1,-1,411126,92149,-1,913053,-1,-1,274994,-1,-1,-1,-1,456325,-1,187999,-1,250889,907328,-1,502902,-1,-1,829501,-1,-1,928110,874654,-1,175641,-1,-1,599973,81803,504247,187436,150252,-1,-1,519249,-1,-1,670503,227308,-1,-1,933064,-1,-1,489232,53304,-1,858567,150529,-1,-1,391500,31014,444111,949835,288584,358434,-1,808721,-1,263950,-1,118903,542414,-1,-1,-1,-1,933061,-1,997944,-1,987799,-1,798890,567443,-1,-1,-1,-1,-1,-1,-1,975805,296070,166851,971436,690576,-1,-1,-1,-1,-1,-1,-1,4669,-1,660250,-1,530809,-1,373571,145333,-1,960019,466380,-1,862627,-1,-1,-1,489203,-1,210756,550442,350874,827324,-1,-1,-1,-1,-1,-1,-1,-1,-1,979569,-1,-1,-1,773231,-1,-1,-1,-1,790690,-1,51723,-1,-1,-1,-1,-1,24091,957034,-1,-1,124641,-1,66430,-1,11974,-1,11061,831249,-1,-1,185234,710201,-1,-1,98060,-1,-1,-1,-1,-1,851254,809757,792953,-1,558341,-1,-1,-1,115413,-1,225860,-1,968532,-1,-1,84050,-1,-1,-1,446761,840081,-1,-1,638792,-1,521004,-1,-1,-1,587899,-1,346635,586720,539347,186783,-1,517895,-1,-1,-1,108277,81647,527550,665222,-1,163255,-1,-1,552895,-1,474407,622688,102269,-1,-1,772316,-1,-1,-1,-1,857396,-1,-1,275014,427640,172171,697464,449060,-1,-1,773316,354897,-1,288992,648177,772252,-1,446394,498860,-1,-1,-1,-1,307960,204156,886136,-1,-1,932306,107534,201896,574368,998043,-1,178030,-1,614123,18008,693950,492893,-1,439416,-1,-1,-1,-1,-1,-1,544121,184125,-1,-1,-1,-1,-1,-1,-1,-1,991454,-1,208938,-1,-1,100833,600846,-1,98668,-1,996963,44021,-1,-1,257448,255787,-1,247282,-1,-1,941329,-1,161702,178076,-1,553836,-1,402508,60238,-1,-1,-1,74475,-1,270737,517131,-1,-1,64133,-1,222741,-1,-1,751177,-1,150109,983470,-1,-1,354678,377568,968241,-1,420647,-1,207065,924614,662489,-1,-1,718363,680520,365287,221354,-1,181389,83812,196658,436708,390920,449055,842592,-1,-1,-1,779613,-1,475267,67778,-1,924805,869384,741501,-1,391922,427988,38698,291295,-1,806334,825745,-1,855692,-1,891856,430858,918660,822554,742,401800,-1,-1,-1,183878,-1,743710,-1,825155,-1,159661,170820,381680,-1,14120,735814,-1,733089,265665,-1,-1,438019,-1,-1,338727,-1,-1,-1,965733,-1,725884,801885,-1,-1,487801,-1,-1,233028,-1,-1,-1,220856,543258,48129,753344,-1,-1,414781,-1,611101,-1,629631,306447,-1,603571,-1,965261,-1,928307,-1,-1,489758,-1,874786,-1,-1,-1,839543,-1,-1,181007,532309,-1,99917,-1,936445,244053,540600,217165,143774,-1,-1,-1,-1,-1,-1,-1,673496,788447,-1,-1,-1,827149,-1,657731,-1,-1,437066,-1,773925,-1,773902,747595,-1,-1,374372,-1,-1,202035,982021,977811,-1,-1,778193,715153,192680,532901,-1,669945,-1,708116,122793,618277,-1,273039,961608,-1,-1,654545,582827,143737,697144,916611,651394,-1,-1,-1,18580,-1,-1,482069,796229,-1,598704,-1,436817,-1,965682,47879,-1,-1,319772,630509,373393,-1,-1,67503,-1,-1,616939,-1,-1,133112,-1,-1,606425,-1,632296,-1,617115,-1,241494,-1,-1,-1,-1,953231,88614,806578,727865,889021,-1,-1,-1,-1,824244,228876,447151,-1,304658,-1,316047,846364,405812,-1,279387,-1,-1,-1,868875,-1,616445,986225,-1,-1,-1,-1,-1,-1,-1,717608,-1,236295,-1,796496,-1,-1,178254,-1,718376,949951,67662,221327,-1,614213,372739,-1,187452,-1,885027,541735,-1,161737,-1,845531,-1,146595,624438,276968,840988,188726,913083,-1,-1,-1,832593,-1,-1,502224,-1,774707,814258,125976,-1,554032,57760,-1,-1,-1,454660,-1,-1,-1,272585,-1,-1,330417,962391,-1,995074,619008,708809,733520,-1,-1,-1,672562,401365,-1,541335,29749,798651,838394,-1,-1,-1,-1,886445,-1,143838,596811,150506,91527,37829,703463,945969,18689,-1,-1,-1,-1,518131,-1,524365,-1,519636,692226,226611,-1,-1,248186,-1,410216,-1,901172,240899,-1,866322,463764,207063,-1,68618,-1,24057,-1,309188,7947,-1,524097,592765,-1,-1,719843,657626,-1,976671,710170,-1,379028,852811,-1,944622,-1,353621,776815,229317,869812,-1,-1,-1,-1,992116,225773,712696,-1,-1,862529,173815,514856,-1,-1,83406,-1,139064,-1,-1,-1,-1,-1,680601,565575,881776,55509,-1,-1,-1,947188,54275,-1,971098,959929,798432,447689,548588,605413,-1,-1,264114,391364,-1,659150,588560,651717,360201,187699,-1,-1,223830,-1,-1,-1,-1,626631,-1,-1,-1,-1,-1,-1,582493,985379,579084,372910,462568,-1,660259,543558,201521,29573,556850,864239,878078,976079,-1,-1,-1,885055,-1,235522,687554,621294,-1,-1,749337,-1,-1,-1,14330,-1,-1,349810,-1,-1,738488,-1,324950,378708,-1,734894,-1,640982,198563,-1,-1,392261,692362,587558,211612,692901,-1,-1,-1,614794,-1,130326,-1,665172,56097,557811,-1,-1,-1,-1,919036,975581,208898,63115,961527,-1,554347,803118,14163,644370,-1,997820,601355,122759,-1,356423,-1,254926,130657,-1,595874,-1,-1,383864,-1,50257,103750,36695,440677,751892,-1,-1,398165,-1,135250,34256,-1,881432,815543,-1,442492,707241,315758,-1,953542,-1,-1,-1,346116,283039,-1,676768,167874,828493,-1,33525,626936,-1,-1,-1,-1,-1,-1,71455,755363,-1,-1,946675,-1,254324,-1,131591,-1,-1,574700,285528,94078,986461,-1,114731,221855,788691,886837,341669,-1,9319,-1,-1,806648,957557,-1,745187,879620,153158,266005,-1,790576,683314,-1,99085,-1,493309,234794,515778,-1,-1,378285,161829,-1,-1,-1,-1,-1,-1,54793,901107,548414,-1,931278,115060,193481,-1,-1,-1,214878,228889,224712,466878,-1,31147,-1,-1,217892,-1,915599,-1,-1,-1,-1,791091,-1,-1,-1,-1,-1,-1,758959,62080,213831,51465,24544,526933,-1,349207,-1,518813,928134,418513,-1,-1,-1,664431,945392,505741,232170,251067,-1,678339,241443,876150,-1,-1,832450,520230,925680,-1,-1,396539,-1,13759,-1,292318,-1,369988,-1,-1,410935,62151,-1,-1,292329,547282,-1,-1,-1,948864,864931,741086,636163,-1,-1,-1,-1,-1,544227,228962,-1,471082,231209,-1,-1,-1,971411,303813,958132,-1,98459,-1,-1,38122,375072,-1,561291,772160,559715,-1,709919,-1,7497,823065,705438,370270,419180,158724,686097,-1,493209,-1,855174,-1,745925,-1,-1,-1,-1,544979,-1,-1,-1,322746,-1,-1,105073,-1,405704,-1,987881,-1,-1,-1,-1,-1,587073,930103,-1,588461,-1,-1,-1,352257,-1,12521,386386,549090,643242,-1,-1,79672,-1,236681,-1,349048,504712,-1,-1,-1,488203,503755,-1,-1,-1,316524,984808,-1,-1,627104,430054,-1,-1,-1,66325,-1,-1,8055,-1,-1,216500,383387,217596,-1,848480,990336,461364,-1,248069,542289,-1,32845,-1,719533,528245,476626,753276,-1,-1,916410,-1,389143,-1,-1,-1,658195,725766,53327,179273,452749,-1,-1,82593,270738,-1,533291,966532,363455,-1,699447,284116,179397,78502,280324,-1,-1,-1,-1,549597,930445,131797,480452,-1,-1,188460,-1,-1,218318,700836,-1,409996,-1,599715,-1,-1,766599,-1,-1,34154,819913,394432,-1,-1,339712,-1,-1,-1,-1,950303,310020,277426,956252,-1,-1,218894,82875,-1,746860,-1,-1,-1,987561,-1,-1,360839,-1,130046,556123,-1,740146,879915,351867,458474,-1,-1,511156,785566,-1,-1,195264,903962,180332,-1,-1,-1,50592,979424,988405,915121,-1,-1,-1,369135,942364,789053,-1,-1,-1,-1,185479,-1,-1,369726,-1,-1,-1,481782,-1,887355,-1,-1,-1,185032,662428,695263,-1,592907,405863,957042,60448,-1,519371,160021,309374,-1,12061,-1,746965,-1,-1,640575,78493,735038,-1,818123,477809,-1,33837,596799,103455,18089,671191,-1,-1,-1,849281,295319,337411,823255,-1,-1,192213,-1,-1,-1,902185,-1,-1,683345,290019,968200,354385,331044,-1,-1,-1,508598,-1,-1,-1,485774,335337,-1,-1,-1,398222,979671,564306,-1,-1,583643,897824,-1,-1,30785,391332,38592,727615,-1,311842,97570,337341,867945,782304,-1,-1,484161,341182,-1,-1,-1,529453,227366,-1,-1,-1,-1,-1,881833,37805,927686,32406,-1,222669,-1,518310,301456,-1,-1,933906,38352,718457,-1,-1,-1,-1,-1,71315,807112,939111,-1,441908,-1,-1,620050,726637,692581,126282,329515,-1,75847,400624,-1,239582,410147,-1,-1,-1,768209,751030,-1,-1,-1,-1,678578,455503,-1,-1,42346,-1,959080,-1,927779,-1,463360,685033,-1,-1,-1,93028,493964,-1,672282,174069,-1,-1,-1,45249,740605,-1,562904,-1,-1,763873,-1,-1,-1,956897,237313,471229,-1,-1,-1,98269,-1,18967,508483,-1,964113,218193,-1,975428,27731,-1,856104,859255,-1,268430,155133,-1,494391,-1,500857,417987,-1,-1,-1,151343,-1,632355,-1,-1,164922,258436,817014,-1,231959,-1,-1,515731,642347,68966,766591,902485,-1,362240,729214,-1,-1,-1,183939,-1,288044,581376,726389,-1,-1,450920,911058,-1,-1,518455,-1,259921,-1,-1,-1,-1,670569,182977,-1,410340,-1,315281,605083,-1,-1,57895,224329,154608,280739,44932,471464,-1,902644,-1,-1,914226,-1,77772,-1,163101,291869,-1,-1,767180,481625,318040,987282,607467,297870,-1,379447,572304,338131,152099,-1,-1,-1,-1,437067,-1,708226,-1,-1,335484,-1,-1,-1,339219,-1,-1,939888,-1,-1,-1,-1,632128,-1,162771,318259,192499,458077,464704,-1,468864,621635,-1,717267,-1,-1,44274,359833,222404,-1,920978,244812,-1,-1,-1,-1,-1,411254,369285,610512,925730,397451,821881,795946,-1,226687,-1,612693,-1,-1,817861,-1,766827,104047,-1,-1,-1,-1,567603,-1,834433,327579,10853,-1,683071,-1,-1,176639,370768,-1,-1,-1,-1,602085,-1,999560,-1,282579,-1,160170,-1,-1,324246,-1,128814,811997,-1,-1,449490,-1,402984,125521,-1,289292,683099,-1,798786,205817,-1,697538,229948,695378,285568,593419,-1,470094,677955,23818,-1,-1,569607,-1,331926,-1,505568,610844,-1,-1,328499,879342,-1,-1,-1,-1,-1,-1,444236,-1,-1,-1,95416,825803,-1,757008,-1,14590,-1,105183,-1,-1,-1,-1,488765,396665,-1,667036,-1,740649,228713,-1,-1,-1,-1,498016,492007,-1,133427,-1,731596,-1,810474,455962,360858,835530,-1,-1,861152,942320,480530,682307,-1,808098,228972,-1,-1,-1,802244,-1,259645,-1,-1,464592,635014,-1,859335,298360,510219,-1,797727,707779,-1,-1,-1,267133,534715,260888,646164,-1,-1,-1,-1,-1,679662,-1,-1,398198,-1,37199,466091,-1,858090,466015,347505,488205,697187,-1,709543,804597,856396,702174,586828,-1,195888,597514,-1,-1,-1,492852,-1,-1,-1,414608,610514,-1,-1,-1,-1,-1,-1,904793,962328,973929,983712,-1,-1,637146,-1,-1,169497,616917,585006,930307,-1,605810,163125,400581,-1,-1,763676,485986,540545,42537,626200,-1,379506,73655,-1,-1,-1,44301,681212,102362,-1,585406,-1,48218,893654,-1,-1,269984,-1,-1,269835,-1,-1,-1,-1,683879,-1,-1,954397,-1,-1,-1,160927,412668,-1,-1,-1,-1,246228,-1,73457,881723,70143,548885,573472,46646,-1,-1,88786,759546,193298,516465,-1,143865,192705,-1,754037,-1,-1,-1,-1,158111,86957,-1,774027,-1,431188,614817,574865,-1,-1,-1,-1,-1,668558,678706,370340,691366,-1,-1,-1,640822,-1,165647,67530,-1,827999,-1,-1,-1,302935,488344,-1,93483,528388,242072,-1,-1,243204,742240,696047,104510,474439,115054,107385,-1,-1,602023,-1,-1,853846,786808,-1,832100,-1,-1,540654,-1,-1,-1,-1,650677,-1,-1,-1,601814,-1,-1,732190,147631,-1,-1,-1,294420,366667,657522,-1,411319,-1,917916,-1,-1,-1,-1,315853,199432,73511,710627,-1,570784,563739,-1,686710,-1,-1,767024,-1,647246,602379,855404,174941,-1,347692,651835,-1,-1,607474,884870,505107,-1,-1,120614,-1,-1,25775,-1,-1,895309,-1,812335,-1,212805,908153,-1,291279,92471,905294,-1,-1,-1,-1,-1,443011,-1,-1,474309,211019,599770,821183,-1,779949,-1,-1,-1,-1,439752,-1,459187,-1,-1,221308,850910,-1,-1,520584,725982,-1,800293,232643,530894,-1,75225,248567,-1,334773,239219,-1,258811,692604,-1,365032,793909,-1,-1,807453,950701,-1,567641,688359,-1,947281,684484,505827,783666,-1,499031,597756,624918,-1,-1,707421,-1,136383,237115,317988,556152,-1,-1,-1,-1,-1,197971,369044,-1,-1,210008,398319,772344,6615,-1,-1,586102,412123,538778,538149,38210,-1,13948,-1,-1,102473,943463,809803,457331,466170,-1,-1,-1,21751,368084,-1,395639,826051,-1,-1,161372,52376,-1,-1,-1,-1,-1,-1,-1,287075,-1,531968,722580,271976,-1,-1,-1,662287,-1,-1,776264,-1,-1,618804,759885,-1,649769,-1,985914,144794,-1,-1,391803,458560,-1,151110,469043,-1,824528,-1,-1,-1,601996,-1,-1,-1,18087,-1,-1,-1,378035,134737,-1,-1,126128,245685,-1,283027,-1,324315,-1,879094,-1,-1,-1,34177,877139,360343,-1,-1,-1,-1,-1,568629,-1,162234,-1,699380,220474,-1,455977,780651,-1,154235,-1,172247,349573,950487,411133,79930,-1,294248,-1,-1,643268,-1,71614,-1,42217,113579,-1,41788,-1,-1,-1,-1,248436,-1,803017,-1,461248,-1,96563,-1,606100,370345,706190,-1,-1,83574,497374,-1,-1,-1,-1,66808,230024,989927,232220,-1,897525,783611,-1,-1,-1,-1,-1,-1,792389,-1,221824,406338,-1,-1,-1,-1,601509,-1,-1,628104,191471,-1,-1,499610,388130,-1,-1,162765,-1,-1,-1,-1,974011,-1,-1,537748,-1,524624,-1,-1,-1,860820,-1,-1,-1,-1,-1,633994,-1,-1,-1,623840,-1,311845,-1,945731,-1,-1,-1,-1,-1,512187,-1,333038,-1,-1,347373,-1,-1,-1,-1,-1,740236,-1,-1,-1,-1,863947,529795,779556,-1,-1,-1,694279,830926,-1,-1,350780,-1,-1,966212,767851,459306,385036,352760,-1,-1,-1,-1,-1,958905,-1,-1,-1,-1,962148,-1,-1,-1,239024,334147,-1,371539,200388,-1,-1,-1,355917,-1,755633,173394,-1,-1,255677,758791,-1,-1,-1,570820,-1,209234,43574,832126,487844,-1,-1,-1,131480,362663,241449,72227,-1,-1,-1,-1,932427,-1,-1,-1,-1,850888,290071,-1,-1,588272,532204,-1,-1,606006,138049,385542,-1,359641,872188,355825,747999,-1,-1,-1,343436,-1,-1,-1,892390,-1,-1,-1,848953,483682,508525,863229,-1,849935,781279,487144,432339,-1,947180,-1,-1,811703,-1,919736,412608,-1,957589,898857,879089,-1,-1,734609,871950,-1,355365,406050,186090,-1,718702,-1,410584,940715,168917,547786,-1,-1,919779,397825,-1,-1,973142,-1,-1,622136,-1,-1,321933,-1,-1,-1,-1,503595,-1,864209,-1,93704,505872,-1,775430,425063,626720,606031,222922,648512,579605,-1,30573,-1,-1,805862,161374,-1,-1,-1,-1,-1,-1,879670,-1,-1,-1,888936,576669,-1,370828,282882,691612,621240,147982,-1,-1,360028,-1,618656,946692,633221,-1,-1,538175,617231,-1,-1,965575,877214,-1,-1,-1,882155,119832,-1,766687,-1,997974,-1,279294,6028,-1,-1,-1,-1,281071,-1,-1,-1,563352,262289,272190,-1,-1,552763,491811,-1,826438,476729,196707,371681,-1,396686,43387,334164,-1,-1,644711,-1,996479,-1,-1,687694,518726,837227,59988,-1,-1,-1,-1,-1,-1,-1,490468,75654,202658,535796,676892,-1,-1,316749,334362,-1,-1,-1,-1,-1,747315,10885,587512,-1,871611,466299,706348,-1,-1,-1,973949,471112,-1,-1,-1,948542,-1,-1,-1,51984,389112,-1,-1,-1,-1,734915,324870,419092,-1,38733,241509,312005,-1,-1,890702,-1,121876,182006,635342,-1,24324,-1,622813,237767,210562,219484,-1,122079,-1,-1,900972,436882,3499,-1,899710,307176,-1,931555,-1,610708,580653,49334,235657,-1,-1,-1,-1,615695,-1,-1,281399,-1,325234,-1,876674,632844,-1,-1,229448,-1,-1,-1,481453,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,227586,-1,-1,-1,788609,-1,485990,-1,308249,-1,33920,519826,-1,-1,396603,693171,-1,-1,110978,-1,-1,-1,-1,739189,744277,-1,-1,253149,53324,261679,-1,832099,528314,-1,-1,326929,-1,-1,-1,212318,-1,659386,-1,-1,422772,-1,887277,180874,-1,768029,40744,58866,391763,896992,954136,-1,-1,822787,741269,-1,347590,-1,-1,302585,-1,912752,651318,-1,-1,-1,-1,657894,-1,148547,-1,541435,-1,762781,-1,390298,-1,729609,843872,-1,311279,285584,-1,-1,775456,-1,947832,657407,-1,552794,512969,492086,686544,-1,512221,264822,-1,-1,-1,1764,464203,-1,126849,-1,14356,-1,711941,930781,234326,694383,480680,245807,-1,-1,-1,-1,-1,-1,306151,-1,330620,-1,-1,53654,600707,-1,-1,271049,512935,500713,-1,513373,430759,643525,-1,-1,-1,-1,958829,-1,439312,-1,82928,971178,60549,-1,-1,642706,444479,354211,-1,-1,-1,-1,-1,86587,-1,-1,732400,-1,-1,-1,-1,611464,-1,796094,-1,-1,534743,4913,-1,362876,641063,407525,710234,717865,543793,-1,-1,58115,-1,496351,249247,-1,826263,-1,964998,-1,-1,612914,677301,129386,804617,415049,614383,-1,-1,-1,-1,87021,797923,272576,-1,561664,-1,-1,677272,-1,-1,153028,530828,262349,-1,-1,-1,489993,76094,-1,-1,-1,20448,-1,155235,467495,878886,931762,-1,844339,846581,790182,176043,-1,451826,583245,-1,435429,-1,514542,-1,16169,355522,251138,-1,-1,461363,-1,636280,-1,-1,494114,-1,-1,855334,459068,-1,76972,896687,57663,557324,407577,441303,332471,-1,-1,-1,-1,-1,-1,623693,686466,-1,368176,995459,335318,-1,59870,-1,540846,-1,-1,-1,892086,-1,-1,-1,827888,184865,-1,735032,284509,-1,-1,-1,368362,150854,956368,-1,-1,-1,-1,-1,-1,684070,358349,887472,-1,710957,368455,650820,-1,600824,-1,667648,733677,95933,978574,-1,80892,-1,798769,364475,27205,-1,459869,-1,804603,472062,-1,-1,663394,-1,-1,-1,634526,-1,883527,-1,11017,-1,28077,196732,310176,-1,-1,-1,-1,-1,-1,710130,184950,281263,459106,-1,-1,699728,199585,-1,363814,-1,-1,-1,-1,996415,535640,-1,982308,-1,376839,-1,-1,476701,897070,-1,-1,-1,-1,-1,507798,-1,167494,342681,-1,-1,-1,388096,588999,204244,-1,877436,-1,314796,618931,117245,29128,-1,-1,-1,574874,443037,403780,-1,236421,161957,789927,-1,809554,-1,240797,770719,-1,-1,-1,214884,-1,-1,-1,-1,-1,-1,-1,-1,503314,-1,-1,-1,205274,910979,895625,-1,-1,-1,-1,-1,538753,410557,-1,-1,970249,-1,-1,932674,-1,-1,234948,-1,351729,-1,405979,-1,639576,852997,186629,-1,656025,262464,268965,283286,181236,-1,206278,877361,758238,-1,534841,-1,829177,671553,-1,-1,-1,367337,-1,-1,-1,-1,-1,-1,60293,637176,-1,-1,303116,310906,-1,-1,404332,-1,-1,-1,-1,411631,-1,652949,309621,834985,947337,683837,-1,-1,264797,-1,-1,-1,568006,-1,184079,-1,604863,188563,-1,-1,-1,-1,-1,-1,-1,171386,51672,231556,-1,-1,641588,350867,731744,-1,-1,368535,-1,-1,-1,-1,-1,767442,-1,722726,145574,-1,291652,32496,-1,-1,-1,-1,-1,815979,-1,-1,909854,-1,-1,-1,-1,-1,70185,571332,-1,-1,445713,-1,-1,-1,232001,-1,563481,-1,-1,-1,-1,-1,657782,-1,-1,55852,862441,-1,320705,925685,-1,-1,-1,-1,-1,597592,820722,388624,-1,-1,-1,120266,966964,-1,839683,-1,745435,395505,-1,-1,-1,139273,894196,556093,454230,-1,-1,991310,57540,306962,-1,12554,365903,-1,611667,-1,-1,-1,-1,787655,-1,-1,-1,485335,-1,192954,-1,-1,-1,-1,94176,697487,-1,304291,-1,382617,-1,255305,-1,958571,774505,654035,751040,-1,171707,656912,157420,242628,-1,-1,-1,565741,315175,-1,-1,-1,95203,504242,-1,-1,-1,-1,-1,22740,-1,-1,35269,-1,332219,9331,-1,101545,187056,-1,-1,-1,-1,-1,-1,-1,892807,-1,491767,-1,768222,808855,-1,-1,-1,-1,-1,869603,977290,836769,973995,-1,-1,683396,-1,866668,899990,-1,331898,349491,832795,867990,151355,988615,-1,-1,-1,-1,-1,285748,-1,564759,-1,947207,-1,839111,207772,-1,-1,2989,-1,-1,925443,836556,528861,-1,-1,92980,901170,-1,740577,906689,-1,-1,-1,153390,-1,-1,-1,-1,-1,924945,519911,-1,-1,-1,-1,610699,980778,-1,139608,-1,72651,-1,-1,69953,171608,-1,324250,-1,125053,-1,709148,-1,119058,855842,-1,493815,625776,-1,-1,-1,934675,9267,789637,17679,-1,229321,-1,-1,-1,-1,873511,-1,-1,354504,234124,268423,839,682615,-1,-1,-1,870110,-1,400891,494427,-1,379526,919263,143297,-1,656815,-1,-1,-1,-1,-1,-1,933427,-1,-1,-1,988462,-1,196911,880906,-1,527697,-1,194569,-1,951692,257813,636235,414296,-1,-1,-1,38163,804416,340408,232416,-1,-1,274875,-1,910653,279651,-1,441056,317509,-1,258733,964858,694301,141071,-1,-1,-1,985991,-1,-1,715726,697999,-1,-1,-1,152601,-1,332422,849884,-1,-1,384003,-1,667623,-1,939321,92207,887821,-1,-1,-1,-1,-1,911307,645537,374555,-1,524024,-1,11545,522673,-1,-1,808025,612569,339939,298139,-1,288319,917254,388493,320363,-1,-1,-1,-1,-1,-1,-1,-1,108688,299208,889550,702896,247933,-1,-1,-1,496310,682439,968240,889971,-1,841442,-1,607915,220974,161764,341641,-1,-1,850868,-1,7000,-1,-1,-1,265123,990876,-1,-1,859304,550355,-1,-1,802737,-1,905326,65248,875507,-1,783954,-1,993339,320985,324209,-1,532048,-1,326695,26387,-1,-1,-1,661379,-1,-1,-1,537381,-1,256579,-1,927190,955781,-1,863815,-1,292934,-1,151272,740740,-1,-1,273314,-1,388359,-1,649241,115231,-1,-1,-1,-1,-1,-1,43683,481911,-1,-1,26044,-1,40765,93262,-1,382936,153041,-1,-1,135384,824884,589156,886333,745161,-1,821447,-1,691324,-1,258297,464219,-1,176097,-1,-1,622927,100749,-1,-1,162882,-1,-1,-1,511097,-1,158945,89574,-1,550430,200710,-1,-1,979137,301392,140038,-1,978141,841252,-1,-1,584589,171805,381333,198177,-1,-1,-1,118723,358998,365253,218809,-1,-1,-1,-1,839224,674672,-1,-1,305149,986566,797886,-1,619984,851896,879871,-1,255203,-1,-1,216251,-1,732753,474255,815342,541844,781429,-1,-1,364105,389260,-1,305880,739860,-1,992417,-1,-1,-1,47862,-1,-1,-1,356457,358439,-1,478875,-1,442960,-1,269293,491718,173532,-1,873258,-1,-1,-1,-1,-1,697315,-1,-1,-1,920950,13308,-1,-1,-1,13466,170823,-1,847253,802027,-1,324272,174923,278617,707719,921366,570036,-1,403685,235343,57511,251538,-1,-1,949644,658429,-1,445896,-1,-1,700213,242876,-1,-1,-1,-1,-1,312494,663024,-1,557658,750625,-1,753237,-1,178902,832540,-1,521014,882162,-1,-1,-1,-1,190343,862135,-1,-1,707593,950643,708195,366794,-1,-1,-1,-1,593387,19587,964562,-1,-1,-1,-1,367403,-1,753870,494024,450498,-1,-1,-1,-1,-1,-1,333334,-1,-1,17646,318851,-1,173914,733015,367483,290660,-1,809503,-1,-1,-1,-1,477598,-1,489895,-1,-1,-1,286109,79235,-1,-1,-1,267415,-1,-1,-1,901185,-1,-1,-1,300002,878918,-1,204828,799928,608726,-1,-1,991796,-1,205775,-1,627003,-1,207367,-1,-1,-1,-1,-1,753629,465513,-1,-1,-1,792640,22673,-1,-1,-1,587270,-1,-1,-1,152194,-1,265050,-1,666545,637057,509254,-1,654312,154737,-1,847164,408054,-1,193131,730403,-1,298719,393294,-1,-1,912947,-1,519423,715998,-1,-1,-1,558236,-1,-1,609734,450786,-1,757188,-1,-1,334498,774017,-1,29630,-1,-1,984776,-1,-1,755578,-1,-1,-1,103714,-1,-1,-1,-1,-1,-1,-1,337058,992631,-1,-1,-1,-1,840808,-1,-1,-1,886415,-1,-1,76644,623847,-1,88849,-1,665226,-1,337493,-1,636951,-1,23739,731507,-1,239588,292829,-1,906622,-1,140680,-1,494330,-1,296004,-1,-1,-1,-1,-1,510792,764015,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,861901,409393,-1,295862,-1,-1,-1,-1,-1,792782,-1,-1,-1,435361,399490,986668,873603,-1,273662,-1,733828,589958,547658,329098,371749,840021,-1,-1,-1,833307,-1,509091,84655,793939,712394,-1,-1,-1,-1,-1,-1,564329,-1,-1,-1,534941,907234,-1,679047,503655,912912,-1,191982,163271,-1,252330,-1,965829,-1,-1,-1,-1,-1,144404,-1,86728,-1,-1,334666,545618,743652,949144,680758,747535,-1,778774,35364,-1,-1,-1,-1,422155,961958,33071,527967,77416,-1,533787,-1,599542,-1,-1,-1,629875,860039,-1,-1,-1,795200,165235,370127,-1,674147,-1,-1,777823,419160,319822,835083,-1,-1,311937,891061,-1,-1,-1,764590,17280,-1,-1,265048,674195,-1,-1,463865,-1,940315,-1,-1,699512,-1,302777,-1,154248,-1,54626,-1,-1,622419,511593,357711,525348,-1,-1,-1,69977,572486,-1,273857,-1,-1,487403,432587,402969,-1,-1,63559,324981,-1,-1,682937,-1,463990,995285,-1,155174,-1,160486,-1,596111,-1,-1,492186,870115,-1,508234,632783,-1,356860,34904,350009,830397,-1,-1,-1,124886,202731,227440,-1,921029,141933,-1,755031,683238,580107,462132,-1,643496,-1,-1,-1,-1,32748,-1,-1,742431,-1,721843,764091,251641,27915,-1,383346,-1,-1,657417,741243,890193,843941,-1,522575,471221,92851,971096,625158,743957,797152,98431,83830,995204,500904,937101,91900,-1,-1,340029,-1,-1,-1,859607,-1,-1,858724,-1,874535,-1,457592,158829,-1,-1,972874,-1,712224,856860,886463,-1,873597,-1,662168,-1,26206,27356,-1,-1,835623,-1,-1,-1,223355,564372,-1,-1,-1,464609,310128,-1,143718,924423,-1,-1,323364,708041,673810,-1,23098,202274,-1,-1,-1,496935,6103,-1,677654,583909,520237,-1,-1,-1,-1,-1,48491,-1,-1,384760,-1,-1,859150,628926,-1,924054,684281,-1,966600,-1,-1,858789,-1,964099,72132,-1,25792,372404,-1,425737,498921,-1,-1,725166,-1,453770,-1,367919,-1,-1,835226,-1,-1,-1,259458,-1,100177,971237,524803,149629,382905,17640,-1,-1,-1,566653,111702,-1,-1,746294,807422,319560,-1,-1,330663,-1,972272,62245,58024,132485,-1,-1,191157,686224,-1,276370,564907,-1,-1,-1,-1,-1,-1,608054,966282,-1,-1,-1,-1,469391,-1,456250,19595,-1,-1,33097,944984,806368,537686,446624,-1,163551,59708,-1,329530,383513,331072,-1,-1,64798,-1,349442,801482,-1,972848,15979,247091,-1,-1,-1,597002,200127,637565,702577,-1,-1,-1,-1,-1,796332,933312,-1,300027,-1,-1,-1,-1,829843,-1,-1,857655,-1,-1,513839,-1,-1,-1,-1,-1,658272,270936,-1,709615,-1,-1,-1,237201,-1,277945,-1,941245,-1,-1,-1,-1,-1,-1,-1,451154,-1,-1,195346,-1,608789,-1,-1,-1,51377,142437,-1,175366,-1,-1,928103,353230,441700,123507,423344,-1,292360,-1,644680,222060,-1,813881,980838,461245,-1,-1,-1,-1,766074,-1,-1,-1,-1,-1,-1,325629,844910,-1,829365,436781,679289,376973,450651,-1,-1,708313,350827,-1,-1,-1,932722,427292,4398,-1,94495,23975,615501,-1,-1,441883,727413,701109,181804,-1,-1,224876,625777,-1,-1,318579,399033,433681,549065,-1,-1,945678,287661,-1,-1,-1,-1,95950,-1,-1,404379,742578,-1,-1,949494,-1,-1,-1,27595,438509,59924,252583,206740,-1,-1,617984,-1,-1,-1,-1,-1,68852,-1,752993,-1,780847,-1,-1,-1,-1,212071,-1,109916,987001,929993,-1,262277,-1,-1,-1,-1,-1,179386,-1,-1,-1,-1,802327,-1,512236,-1,165203,-1,-1,436928,895797,284060,831962,-1,-1,793040,816085,-1,973219,-1,-1,931998,945509,868526,384481,-1,-1,-1,871766,-1,-1,529740,-1,-1,814453,-1,-1,-1,-1,-1,-1,-1,641593,-1,-1,327974,-1,920739,-1,602136,-1,231832,-1,504427,-1,980437,956203,-1,-1,-1,-1,-1,959248,-1,-1,56150,50713,-1,-1,254945,-1,448332,-1,-1,-1,-1,932048,488522,-1,-1,47129,-1,745303,304144,-1,-1,759303,319351,470231,-1,-1,835367,565215,-1,63008,-1,-1,-1,180823,-1,-1,-1,887946,615815,146961,627603,982809,327269,93811,-1,-1,-1,305180,-1,-1,-1,-1,-1,614594,-1,432022,-1,-1,-1,-1,209680,871779,-1,259185,-1,-1,26446,-1,758122,562374,835898,315618,-1,-1,923083,-1,63120,-1,-1,289578,513715,175591,254953,848735,680256,470115,732904,-1,848462,110301,71320,-1,-1,551979,94394,-1,-1,264741,823036,-1,427535,657277,-1,-1,902193,296711,499628,840365,-1,787344,-1,386206,-1,-1,-1,-1,470196,124046,-1,742832,-1,614440,689127,598682,-1,302001,-1,448177,-1,274087,54877,-1,865631,-1,131571,77426,-1,-1,-1,314772,749388,-1,233547,337336,770451,646168,-1,-1,-1,-1,661525,489803,-1,-1,10023,-1,-1,-1,114258,-1,71687,-1,36480,24776,809629,-1,-1,292305,831189,-1,837182,905050,-1,-1,-1,-1,-1,-1,-1,45523,-1,-1,81936,623716,-1,-1,847227,692530,-1,11696,944510,199027,453011,526603,416491,4799,-1,-1,905088,-1,-1,855765,136744,804696,-1,-1,-1,-1,-1,934570,-1,60286,-1,878173,914377,-1,51396,-1,230115,-1,-1,-1,-1,-1,580200,-1,-1,-1,186712,-1,-1,827891,-1,872842,634736,-1,49942,514887,-1,-1,-1,422718,125929,340839,419426,-1,160881,-1,-1,811636,-1,-1,-1,-1,760642,-1,29806,494657,-1,442712,853051,981646,-1,-1,523213,103850,892885,-1,-1,125256,776205,858589,925711,-1,-1,457014,-1,-1,-1,-1,252250,713359,713638,-1,849172,263385,457899,-1,-1,679478,-1,-1,-1,266299,691394,824320,493317,-1,662427,304215,-1,-1,238379,-1,-1,-1,456070,64400,-1,478975,575805,-1,267344,411470,729413,-1,-1,928816,-1,-1,-1,-1,-1,568720,217207,733477,-1,158038,419431,618596,-1,-1,353498,875034,868006,-1,733013,931938,-1,650628,765897,-1,-1,-1,-1,-1,-1,-1,-1,48316,-1,-1,-1,-1,-1,-1,-1,221088,175292,-1,-1,659981,320452,852017,808055,-1,694647,-1,984872,-1,-1,-1,850250,836136,480961,731045,663155,399099,-1,306721,56654,917595,-1,-1,-1,595369,181248,173844,751613,-1,-1,-1,92042,225395,762506,-1,774043,-1,898128,115790,771651,695339,-1,414345,-1,-1,78667,-1,-1,799962,-1,551945,707945,333213,64337,-1,773967,-1,688377,-1,-1,771427,-1,947964,603509,-1,-1,-1,709763,-1,-1,599506,173955,-1,-1,-1,37301,-1,-1,7702,-1,-1,-1,-1,-1,410243,284194,292174,-1,303716,298525,-1,62577,26613,543701,414985,-1,760807,986723,991153,-1,958962,485482,602235,776461,885649,622364,645003,620944,303218,-1,507794,896871,577966,524957,497319,-1,709881,-1,169698,-1,-1,61240,-1,-1,375133,-1,197000,-1,570101,-1,245227,-1,-1,524826,-1,846640,769542,-1,-1,-1,179561,506446,-1,121199,35130,-1,249452,762024,-1,833127,-1,-1,293446,590377,-1,-1,635123,-1,-1,862434,11803,-1,-1,-1,627224,166370,-1,-1,-1,-1,-1,15318,-1,661923,742369,-1,529861,755761,-1,809168,298019,-1,318679,-1,-1,-1,-1,-1,671678,-1,852431,655449,-1,-1,631863,-1,905843,-1,674084,658925,-1,248198,-1,-1,-1,95737,771963,865861,264892,744932,-1,668148,329638,929084,577894,913185,131857,-1,487793,261228,774602,-1,550905,60369,828477,-1,-1,279773,-1,628812,820767,-1,816439,477838,198483,518012,-1,844923,-1,-1,-1,-1,-1,-1,-1,363340,-1,-1,830101,-1,884448,-1,802883,-1,-1,-1,-1,-1,254781,-1,976564,-1,-1,-1,-1,827602,448444,-1,131990,-1,-1,628537,688519,-1,35765,-1,-1,-1,583874,671791,-1,-1,-1,-1,518261,-1,928857,331703,-1,629764,64060,-1,636896,-1,-1,433545,-1,-1,516540,-1,932758,-1,457916,-1,-1,-1,-1,-1,-1,718293,-1,801454,241359,-1,-1,812941,520041,427135,918751,-1,-1,-1,33746,245273,-1,581193,67069,-1,630365,-1,328160,641034,414143,93140,842521,142255,48370,-1,-1,-1,380231,308651,-1,14062,29533,332603,813856,685320,-1,890320,40995,-1,656330,-1,173140,107511,495846,694111,-1,-1,-1,-1,-1,524616,714818,611885,-1,-1,673421,729927,536764,238396,964595,960744,-1,-1,861950,459228,-1,409058,344305,220741,-1,-1,522586,-1,400385,548339,-1,-1,-1,937933,845562,585785,333617,-1,-1,789511,511267,-1,-1,265225,-1,-1,-1,981227,728827,599467,146368,-1,-1,612164,-1,763801,712732,-1,321304,695420,88382,446330,536561,-1,-1,149238,-1,-1,-1,111653,-1,644607,-1,-1,-1,348255,-1,-1,595791,977475,-1,-1,-1,-1,-1,625312,729090,-1,594317,-1,-1,566995,389144,-1,250186,-1,513222,291890,-1,609052,-1,448511,501503,61177,846044,741412,-1,-1,-1,496468,-1,786502,-1,16870,-1,663895,-1,-1,-1,900112,382606,752051,135462,379629,-1,612568,480169,-1,609562,129780,-1,455206,623704,-1,-1,-1,115990,-1,-1,-1,-1,917377,177769,-1,-1,-1,211993,705705,-1,-1,-1,178249,56213,695164,-1,-1,-1,930104,-1,344047,-1,703605,151173,938228,-1,723599,391134,936223,57906,419942,427181,-1,-1,-1,-1,-1,286778,-1,222988,-1,679777,778578,191723,-1,-1,367313,467587,-1,-1,668051,437602,611730,-1,-1,-1,494719,-1,-1,-1,820644,-1,66446,951394,634745,-1,844701,-1,477804,-1,557022,833334,-1,4574,801407,778845,436883,472790,750021,897032,-1,-1,812811,965366,874948,180811,871475,78903,26504,-1,-1,-1,-1,111709,-1,-1,200403,-1,635975,-1,-1,-1,-1,817234,224451,525259,-1,-1,-1,492150,616298,570282,-1,874153,-1,-1,-1,172156,-1,349189,-1,-1,-1,-1,542530,907637,-1,-1,-1,-1,551,47158,-1,-1,402820,-1,391785,111173,302019,-1,-1,-1,126525,-1,-1,-1,988142,-1,135163,-1,-1,-1,-1,899082,-1,-1,577450,-1,-1,-1,592207,215813,90326,97277,-1,-1,508687,-1,123672,29714,-1,65401,444308,-1,229137,-1,-1,-1,814776,184099,881415,-1,729054,-1,-1,-1,-1,-1,668127,-1,-1,-1,-1,-1,996455,573771,-1,-1,-1,890603,934414,767216,-1,439630,-1,-1,143816,-1,-1,-1,-1,-1,-1,-1,-1,-1,915499,-1,694275,-1,-1,-1,311713,891770,-1,436279,-1,324943,417696,-1,40410,-1,122019,756052,-1,30716,-1,-1,38557,-1,176178,499906,75871,947522,-1,475314,649910,61581,-1,312144,-1,262531,370658,795493,-1,129443,565710,402021,-1,28300,109380,-1,76677,32653,-1,-1,833485,-1,924089,604020,-1,-1,-1,99063,707854,-1,-1,669258,-1,770927,-1,703756,-1,323224,-1,-1,-1,-1,301938,-1,278426,294907,472221,-1,579554,805705,3483,704722,724761,2385,639022,731084,292575,-1,904574,50496,781511,644074,-1,668461,-1,593327,766172,-1,160477,-1,-1,844610,57733,-1,67111,-1,-1,-1,337936,47808,793500,774724,815918,551067,119978,-1,-1,-1,-1,559252,-1,449202,-1,333490,-1,-1,347137,-1,783570,804090,-1,595468,139240,141594,-1,-1,-1,417104,-1,-1,-1,-1,769242,-1,697133,990083,-1,102609,-1,27013,-1,37085,-1,-1,968439,471725,-1,569025,936659,-1,-1,139241,952862,129517,490218,-1,329982,525602,-1,666468,-1,-1,-1,-1,-1,-1,-1,-1,-1,286706,534992,-1,340851,399521,-1,-1,839444,-1,3328,830486,130856,402049,773787,118263,-1,247548,181790,97595,-1,-1,350438,-1,538635,-1,350073,-1,480369,-1,880821,-1,-1,-1,-1,585052,-1,795506,804504,617067,-1,704511,534751,-1,-1,-1,360854,-1,753888,-1,-1,-1,807221,609622,826017,799014,-1,771633,-1,-1,177132,-1,256226,903288,138983,-1,-1,-1,334734,-1,823896,-1,948271,614499,-1,24446,24421,-1,619947,606702,337023,-1,278161,240512,298764,-1,-1,259432,-1,506961,-1,-1,-1,-1,-1,593634,-1,-1,190125,675857,502829,816407,-1,325244,-1,-1,-1,-1,-1,-1,711771,73745,-1,407426,91444,-1,922216,-1,-1,-1,811160,105680,-1,734481,-1,-1,-1,703899,390356,-1,-1,866201,-1,-1,632250,411169,768120,335122,-1,930352,524342,934178,-1,739392,179680,-1,76980,388717,-1,933625,-1,-1,-1,413087,-1,38963,-1,-1,93298,-1,-1,-1,711068,-1,891027,-1,981769,343725,-1,674247,847704,230966,-1,704617,-1,360441,718272,271347,31585,445863,525169,-1,670879,767989,-1,128503,476234,620657,-1,368510,344275,-1,199177,302200,692759,-1,624757,-1,171697,-1,815603,571293,334541,-1,569022,322241,965178,-1,-1,323600,160415,-1,636835,55943,-1,-1,805646,33875,-1,603140,-1,408528,369859,110423,-1,510707,-1,470494,-1,619467,-1,394202,-1,403434,689993,-1,-1,711164,-1,-1,388825,-1,-1,-1,-1,890059,48989,-1,434644,294001,-1,270967,971196,288075,339412,-1,-1,521920,600829,472283,-1,-1,-1,731183,577823,-1,-1,795760,-1,321911,783778,-1,498081,-1,-1,685440,762892,606505,990129,-1,-1,78273,-1,-1,-1,-1,949595,-1,-1,267936,400098,-1,-1,-1,-1,727515,-1,-1,663662,-1,-1,-1,-1,-1,214510,-1,944216,-1,-1,644519,904395,-1,841544,-1,224874,116789,478489,-1,-1,439847,560159,963199,-1,226135,-1,613600,106889,-1,-1,529091,-1,19153,-1,-1,-1,-1,-1,961607,-1,535249,-1,853013,-1,-1,635956,-1,-1,-1,689344,101601,266088,377914,139544,441711,435308,-1,-1,-1,747374,412507,286346,-1,950626,317001,-1,944821,-1,937456,-1,-1,5304,606200,-1,-1,-1,391659,-1,-1,505215,-1,250390,397828,-1,-1,-1,389942,-1,-1,946190,-1,-1,13372,844586,-1,577304,836447,281258,668918,-1,214349,627664,640133,-1,6856,130985,748146,-1,-1,810760,-1,608455,-1,-1,41225,661802,278643,-1,837596,-1,-1,52934,-1,-1,945262,-1,-1,136881,-1,-1,100235,-1,-1,986126,-1,251366,176435,370217,-1,-1,588585,949128,-1,574107,-1,512340,-1,363466,906424,984834,7090,-1,-1,248937,23881,114933,424408,783357,471629,-1,-1,-1,-1,369255,-1,812788,106845,-1,266194,643122,-1,-1,848302,338860,-1,258698,901318,-1,-1,-1,964083,-1,-1,-1,-1,-1,-1,-1,-1,-1,475307,-1,-1,-1,475992,-1,312593,-1,-1,818599,304672,-1,-1,787016,-1,-1,-1,235305,-1,-1,-1,-1,805613,-1,818286,-1,-1,-1,-1,-1,-1,409274,382427,-1,-1,-1,-1,339488,144723,176333,-1,692694,285981,-1,21499,318710,-1,-1,748090,907874,87135,950415,-1,345363,-1,748449,-1,-1,-1,-1,-1,653827,239924,694744,975375,922843,909365,-1,-1,-1,268246,613962,468604,-1,911178,-1,50949,15748,-1,-1,577187,914442,-1,118658,-1,870975,204695,6706,697832,94577,822622,-1,174847,814883,537069,-1,-1,275846,281024,-1,-1,757622,-1,-1,-1,-1,-1,450022,-1,41266,-1,-1,649531,-1,445429,-1,826545,-1,834681,783394,-1,980291,923310,174411,-1,-1,699556,568632,156181,-1,-1,-1,-1,-1,-1,928473,530750,-1,-1,-1,519880,463367,-1,-1,-1,412843,195623,849506,-1,-1,685354,442705,-1,-1,703071,532798,-1,86282,878317,117683,-1,-1,-1,-1,376570,-1,248715,-1,274215,-1,-1,820626,235855,-1,639041,-1,-1,777179,265858,-1,558059,-1,498024,-1,-1,697051,76767,747654,-1,273327,-1,724703,364149,-1,927494,472241,-1,708464,-1,845125,668116,-1,-1,-1,302349,824326,-1,-1,139603,-1,-1,499632,-1,-1,303944,623874,899062,890156,629217,-1,810466,-1,753656,860287,176272,912908,749831,-1,705630,498542,-1,29045,581425,150218,-1,490444,405158,90527,560669,-1,979292,-1,-1,954931,214438,885743,701192,-1,734976,560881,922185,-1,454961,-1,86691,653308,-1,157203,-1,-1,384152,284239,962063,981725,406933,-1,873072,673610,656473,-1,623023,-1,436333,10407,445727,-1,899993,145618,-1,634205,-1,-1,493151,125056,-1,682669,-1,-1,252886,-1,-1,-1,393124,115297,-1,525272,-1,706174,817941,-1,796859,667516,-1,-1,-1,-1,-1,322261,976836,-1,-1,625897,-1,-1,227960,896450,736828,424175,299037,-1,-1,268904,-1,-1,772808,747132,-1,-1,-1,-1,979412,412601,688061,452923,85870,469546,17194,-1,-1,894037,-1,-1,-1,640321,247649,-1,999277,-1,161522,-1,589346,-1,223487,51218,963722,-1,-1,205618,286402,-1,-1,640036,83608,-1,-1,258055,515346,208389,-1,-1,812543,517832,-1,-1,-1,-1,-1,-1,-1,361148,-1,657825,-1,511357,-1,298709,463752,940361,-1,437984,-1,-1,148215,231130,-1,-1,728348,-1,100723,-1,-1,94658,-1,256876,377429,707127,281171,792620,-1,473862,-1,-1,-1,421437,-1,512771,8894,260570,-1,-1,716083,896521,178964,700712,-1,830582,-1,275997,201378,927744,-1,705408,831062,377996,412018,595500,-1,585451,729159,799666,-1,612749,656201,968966,845137,-1,-1,172542,883716,-1,-1,20045,490707,-1,-1,664852,-1,-1,838275,-1,-1,577075,-1,-1,-1,29764,-1,559480,868025,731371,-1,-1,868785,941246,837633,-1,948252,409719,557347,-1,540153,-1,-1,-1,-1,-1,651236,615296,901452,-1,-1,707970,-1,-1,-1,560854,-1,871784,-1,931628,-1,-1,-1,-1,-1,-1,979685,-1,-1,350707,-1,-1,-1,346604,-1,540848,-1,867165,706487,-1,856049,758528,576704,761723,-1,-1,-1,-1,-1,-1,814527,-1,-1,-1,438152,675790,-1,-1,212868,102540,510223,882780,-1,249758,-1,-1,555650,-1,560305,-1,759363,269031,663899,481419,-1,-1,-1,581749,4167,865873,-1,779570,222683,-1,-1,-1,-1,224762,462701,-1,206347,926049,302969,-1,844897,-1,241815,222004,-1,592926,533855,441130,917128,964166,908552,363189,-1,914173,86858,-1,19139,-1,-1,-1,-1,-1,-1,-1,-1,-1,204402,-1,-1,-1,597291,561658,-1,-1,396669,804911,753736,748800,351451,-1,-1,-1,406609,569195,-1,759256,-1,292459,57920,797446,798233,-1,492718,131700,992864,499243,147779,-1,856251,-1,355434,657212,-1,-1,645010,237811,-1,-1,255237,-1,215921,131324,890399,-1,-1,-1,-1,-1,-1,-1,989211,23717,519917,-1,559477,283808,-1,687564,40478,217151,-1,-1,-1,2466,-1,822318,-1,854316,-1,-1,820267,407812,429223,-1,784804,-1,-1,509473,-1,-1,-1,267288,-1,-1,177410,156918,-1,-1,-1,-1,-1,-1,-1,320505,-1,-1,703315,247988,367824,-1,-1,632698,-1,7008,243015,722623,-1,136986,588549,924770,445647,390834,-1,-1,-1,198728,258116,260628,-1,865690,-1,563336,-1,-1,-1,-1,52815,-1,-1,878618,-1,961949,-1,932289,815541,57616,992918,480814,-1,573291,-1,-1,-1,-1,-1,712261,-1,-1,-1,-1,919907,656697,41016,885174,-1,212922,720691,-1,426082,-1,-1,711647,-1,-1,371946,-1,373984,-1,973234,450538,-1,-1,-1,-1,831479,-1,810233,-1,-1,-1,-1,-1,-1,-1,153841,-1,807393,653859,-1,256489,157088,848567,784097,-1,-1,822391,-1,539740,233681,927448,865115,-1,330169,-1,-1,-1,973692,976881,-1,596469,711912,-1,640035,-1,150338,296596,-1,-1,422191,230228,-1,-1,-1,146993,324662,928100,839337,-1,851439,-1,-1,874086,-1,953819,116413,811621,309037,250350,-1,-1,850874,-1,-1,666197,534294,-1,-1,308230,16353,515345,-1,736433,-1,-1,-1,-1,433394,47177,688102,-1,984121,-1,615880,486522,-1,-1,305070,-1,-1,675965,-1,-1,449070,-1,-1,-1,-1,-1,582279,-1,-1,-1,410797,-1,631821,-1,-1,-1,-1,37076,846062,765868,395999,-1,292963,-1,-1,-1,143094,-1,-1,573151,747108,317279,-1,-1,-1,986930,945105,72323,548400,708322,-1,-1,-1,-1,-1,539765,494996,436575,-1,385844,-1,-1,-1,337898,940074,569621,387602,-1,-1,9570,-1,323922,-1,386359,946247,881472,-1,-1,-1,632445,-1,912053,479216,-1,449183,640902,329089,-1,-1,-1,758123,811998,-1,-1,-1,934472,185755,-1,-1,834584,185990,-1,789837,-1,-1,-1,406502,170258,-1,652672,-1,446093,-1,-1,996524,-1,367791,-1,-1,557300,-1,66521,64764,-1,-1,41215,-1,-1,-1,148088,895923,-1,-1,-1,-1,51040,158342,-1,-1,-1,724084,-1,599947,-1,698400,-1,27016,745772,-1,455167,921277,349033,51755,-1,821951,-1,947873,297097,-1,-1,-1,-1,659940,-1,-1,-1,-1,83286,327095,644441,-1,72627,763571,610929,-1,603300,-1,901234,765823,454608,72107,657759,-1,-1,-1,-1,29939,497197,-1,963827,-1,994229,-1,359031,-1,758677,-1,-1,-1,-1,-1,-1,-1,863457,-1,-1,77020,474735,-1,-1,279670,212991,674138,-1,-1,-1,-1,-1,102465,-1,627313,-1,488297,312938,597028,963360,-1,840562,186373,-1,-1,-1,886936,-1,254949,901611,701902,-1,-1,702412,-1,-1,996168,137866,-1,-1,762401,-1,667527,-1,511001,457154,30298,-1,639786,-1,269022,-1,569422,-1,442019,-1,-1,683630,478528,-1,-1,496146,199199,936352,433946,-1,412348,421756,-1,-1,-1,-1,294261,-1,271577,-1,-1,768309,751399,172103,10583,36089,-1,848635,818461,-1,-1,-1,472384,-1,730552,880716,-1,765042,284147,-1,737182,-1,-1,-1,150019,211694,554457,-1,-1,-1,543577,412342,289551,239356,-1,252134,-1,-1,867852,758137,67453,-1,6769,-1,-1,601713,985870,361222,458768,867541,-1,-1,522000,803953,692617,-1,-1,386529,549349,48125,-1,-1,355535,-1,-1,-1,-1,851815,759988,350463,-1,-1,-1,543339,989580,-1,921003,347320,853958,-1,591219,-1,-1,-1,-1,854909,387258,317055,-1,-1,690726,987359,169481,-1,224575,-1,-1,641619,658726,484481,724851,180337,290747,-1,-1,332769,-1,-1,-1,-1,-1,-1,203804,-1,-1,610544,-1,428116,610171,-1,392879,-1,-1,-1,121270,416826,435743,-1,731490,-1,654893,-1,-1,775409,493995,890797,378592,646901,509425,-1,132252,945991,290902,222895,-1,-1,-1,-1,472234,495788,122741,276170,-1,608397,-1,-1,893810,-1,-1,42317,-1,23521,-1,-1,-1,26463,286492,-1,-1,752685,652985,783873,896577,973444,-1,129222,457914,554322,983243,-1,764945,814324,-1,905799,462658,-1,449358,-1,579584,-1,416462,972675,-1,-1,-1,596919,-1,710743,49979,497843,407736,-1,-1,-1,-1,-1,86593,217548,-1,648504,-1,-1,-1,212677,-1,-1,655030,824298,582430,690916,-1,109108,428378,-1,-1,-1,-1,-1,-1,-1,-1,-1,222563,340076,-1,94974,12983,-1,-1,-1,-1,901927,-1,115710,231827,476993,-1,-1,-1,-1,641021,520558,130813,-1,511870,-1,-1,442786,992245,-1,-1,683782,592879,798184,351395,-1,642861,-1,-1,-1,454165,819192,-1,-1,22443,-1,-1,-1,481872,-1,241202,-1,644158,-1,-1,398578,-1,-1,-1,-1,900069,673823,-1,-1,-1,-1,-1,-1,754807,-1,750892,-1,-1,394031,866148,-1,416986,737149,-1,-1,915593,639146,-1,728803,-1,-1,774683,-1,-1,46894,520946,-1,-1,-1,-1,-1,803216,580060,-1,-1,90113,460046,-1,800921,-1,-1,-1,-1,50937,751847,-1,-1,-1,-1,832909,5976,-1,26762,-1,69648,-1,-1,-1,908665,-1,-1,-1,-1,-1,-1,290357,-1,721894,306804,885271,883838,-1,-1,-1,-1,100362,-1,225007,196596,-1,465333,410417,82705,-1,348127,980384,809136,478041,564855,576642,-1,528138,585127,-1,-1,-1,526018,-1,793433,-1,861629,-1,-1,-1,29723,552407,137585,-1,-1,321166,729630,243130,-1,-1,734925,376416,79044,-1,-1,733844,-1,233425,-1,764469,769246,359058,195772,-1,-1,372649,-1,23626,-1,-1,-1,356614,75228,500845,231671,-1,-1,837219,-1,521726,211976,221139,-1,941596,-1,-1,-1,777159,754621,345527,552927,-1,324444,-1,-1,-1,-1,895414,623508,-1,962515,387866,-1,-1,968471,446388,-1,823500,525223,-1,910665,515129,-1,-1,497182,903410,102122,-1,-1,815030,306098,528069,186780,689008,85141,-1,-1,-1,417186,-1,-1,-1,939084,-1,-1,76725,-1,183505,-1,-1,-1,-1,-1,-1,364160,659870,-1,-1,397325,-1,113222,455360,403053,-1,482762,-1,292629,-1,744931,-1,-1,877569,-1,-1,82624,-1,-1,619694,-1,135980,519813,-1,623865,444015,-1,-1,582013,916940,36475,-1,-1,-1,-1,519524,31861,59866,-1,564715,759653,364121,-1,-1,-1,87593,885297,191394,453039,216047,-1,-1,-1,-1,-1,545632,279008,-1,860587,135056,-1,427065,195455,-1,-1,598109,-1,833137,-1,-1,-1,-1,127810,810065,671149,559197,660005,-1,478457,57062,174168,-1,860450,472297,81482,657181,883425,-1,936019,-1,-1,-1,541815,-1,-1,-1,658021,243291,-1,16831,-1,-1,-1,113577,-1,-1,-1,-1,-1,-1,-1,-1,487048,133650,-1,-1,429484,-1,16940,747375,-1,-1,244628,-1,860600,220888,713182,957801,530160,986894,809851,122791,-1,232693,-1,-1,-1,880484,212228,230886,-1,-1,-1,-1,256166,-1,-1,236887,289786,17220,-1,751563,-1,952794,258864,159234,254142,-1,188064,162196,-1,663145,704200,300496,39195,99470,-1,388948,-1,-1,-1,-1,410924,143644,875573,485973,-1,-1,-1,-1,74731,-1,678130,-1,152411,-1,514068,298315,-1,202910,488683,977597,615155,-1,831146,308101,333294,230831,583637,379578,216621,709981,540783,917590,397313,269811,488289,999965,505160,166685,-1,41675,-1,706138,814912,649750,421754,-1,833684,-1,-1,-1,-1,449231,149838,668212,441519,876892,158894,608522,-1,385161,113728,-1,-1,-1,149893,110510,306563,881615,-1,204722,602682,155204,430649,993029,-1,-1,509232,-1,-1,443739,762388,-1,-1,-1,603041,57026,320647,-1,-1,-1,89207,254956,809452,689781,-1,-1,-1,-1,117075,-1,813894,437494,-1,189506,668917,804901,362128,-1,-1,-1,170323,-1,-1,-1,209737,-1,416478,-1,528833,-1,91290,397038,-1,-1,-1,209947,523210,633982,211130,405174,-1,522807,507604,759622,-1,-1,-1,-1,-1,955983,-1,764825,593516,-1,325555,-1,657434,-1,639581,-1,-1,378781,-1,38810,770783,-1,-1,-1,-1,822307,513757,467075,136168,-1,-1,-1,-1,176083,750387,-1,710952,926464,627416,-1,-1,-1,-1,-1,44472,87877,545038,-1,-1,-1,74992,923880,-1,-1,-1,-1,804132,577793,-1,-1,-1,680986,-1,-1,843851,-1,949938,-1,362151,195794,-1,569365,646614,-1,-1,956060,510113,-1,984966,-1,662773,-1,862657,1007,-1,-1,225077,611093,420556,494645,597763,-1,-1,-1,620441,894583,-1,712977,-1,374494,250161,-1,-1,546979,130750,-1,-1,756500,-1,598634,202988,-1,785649,980706,641878,337736,67196,-1,-1,-1,769300,183126,-1,-1,604984,583086,762276,314068,-1,338335,-1,61742,288769,749839,-1,710323,-1,474504,53126,540897,-1,-1,54409,421772,111062,663459,448443,530169,-1,471677,-1,687520,302697,-1,452771,-1,-1,962950,774887,47027,-1,-1,413930,126796,887067,780171,-1,-1,531263,-1,960613,649182,694008,-1,940824,-1,403323,536125,840887,936996,723929,-1,-1,261054,780773,-1,907553,523266,288073,341550,-1,-1,-1,-1,691526,20736,-1,614737,271388,852703,996493,275909,-1,-1,-1,-1,280484,777952,-1,-1,271670,-1,-1,211975,703731,-1,-1,128870,586129,369638,-1,-1,75086,-1,393814,746539,-1,638009,257037,-1,-1,209113,-1,-1,57198,762993,805720,-1,-1,611411,487813,683818,-1,-1,299513,-1,522898,-1,981093,519722,153764,-1,410765,-1,508925,958871,394399,-1,-1,105959,-1,-1,252374,-1,846767,-1,-1,746053,-1,-1,-1,817887,-1,-1,194237,151948,-1,422290,-1,-1,132342,-1,497736,-1,-1,548275,812008,38577,712012,803270,-1,-1,384659,-1,-1,427295,187490,667475,-1,894270,195773,-1,-1,247195,-1,397747,787369,715984,484190,572342,241662,960809,-1,-1,-1,348276,57827,-1,316299,-1,940816,-1,100589,520887,489092,-1,984485,525624,-1,-1,339656,691326,224675,932776,111923,-1,-1,-1,-1,-1,640587,-1,-1,-1,-1,-1,606651,29285,-1,-1,-1,-1,233277,885777,439432,-1,610905,-1,-1,932958,852383,390219,557996,-1,104389,161783,-1,-1,697996,781042,-1,46831,-1,126805,-1,952698,375846,366243,428154,-1,-1,685803,-1,-1,-1,234700,-1,102379,-1,294032,-1,-1,233193,921518,334934,-1,-1,-1,664726,-1,-1,730507,-1,-1,-1,-1,629261,513554,-1,-1,103993,804326,784304,955294,-1,20289,-1,664937,-1,311411,-1,-1,-1,158860,-1,14033,-1,-1,-1,492424,-1,569863,-1,473586,747653,-1,939228,863868,877775,848669,18033,-1,-1,-1,-1,620565,373438,-1,-1,-1,-1,-1,-1,-1,-1,40956,5985,-1,153629,193690,-1,-1,-1,-1,-1,-1,155686,726567,304999,267335,-1,345235,563446,457872,713896,-1,498724,662200,-1,113699,-1,899178,-1,861362,211026,398213,-1,509466,272467,-1,563806,147334,675106,456146,434508,537460,-1,765344,-1,-1,-1,174728,-1,651372,644319,-1,-1,126533,-1,-1,-1,403618,875160,-1,929462,634008,-1,583861,-1,-1,228260,328272,564654,-1,-1,438832,-1,-1,-1,730162,-1,-1,-1,-1,-1,-1,580438,232828,-1,-1,-1,-1,219865,-1,510411,-1,-1,-1,545446,-1,270796,-1,214645,983887,-1,222528,-1,-1,853262,211982,229179,832258,607333,814316,-1,553414,-1,111440,-1,701817,-1,-1,891318,-1,891327,-1,564668,-1,-1,52223,-1,661570,-1,179681,775618,-1,-1,133435,190687,429788,125663,-1,772799,889382,247997,737775,-1,296261,546790,-1,487790,362962,-1,515181,-1,-1,821320,-1,484045,-1,812484,627772,268431,289516,760043,-1,-1,571131,517841,-1,147062,-1,-1,-1,744414,-1,556533,396381,997357,-1,992166,-1,-1,-1,350674,-1,-1,994943,139119,84894,211480,316802,724013,735523,929998,563090,-1,-1,600700,-1,504328,-1,874443,826733,550704,-1,-1,251110,123527,666637,-1,52494,4070,770631,-1,755440,-1,-1,844868,-1,266130,-1,67506,739570,-1,-1,-1,639770,-1,349823,594326,-1,-1,-1,-1,188096,-1,-1,-1,-1,-1,-1,391765,577166,-1,-1,-1,-1,501750,527728,-1,393428,-1,28224,477769,129752,686171,531788,585393,442016,-1,481166,-1,111488,2755,-1,-1,-1,527943,-1,123826,-1,-1,265544,-1,-1,374645,679630,766116,192568,278544,69332,-1,328780,714895,264231,961941,655429,-1,584795,-1,-1,-1,762693,775873,891995,615090,-1,483578,543655,95508,-1,738983,504584,373099,-1,-1,-1,76266,834497,-1,-1,613465,103485,518612,-1,-1,-1,460390,-1,-1,846061,-1,-1,532098,338978,451254,-1,-1,-1,14181,493422,3955,589496,-1,-1,752879,912801,514267,585801,956766,215188,608277,758292,-1,-1,812074,-1,690431,-1,-1,-1,204576,-1,-1,-1,196627,-1,-1,575598,221987,878289,-1,715525,759751,-1,-1,-1,-1,-1,982337,716368,-1,-1,942414,728666,-1,-1,-1,-1,700823,-1,-1,-1,581646,-1,-1,-1,734176,180048,-1,386668,138064,749802,-1,599464,-1,-1,-1,604610,765963,224264,-1,-1,687447,-1,670430,-1,245814,543379,724745,-1,321916,314597,-1,842554,716507,-1,267196,-1,-1,927088,-1,-1,-1,-1,535439,617509,-1,878763,-1,-1,265399,715951,136690,-1,443918,5590,-1,-1,-1,-1,891699,46779,-1,-1,796693,-1,-1,-1,866905,-1,80260,-1,-1,305993,280305,-1,341701,76443,-1,940210,-1,257054,-1,187841,-1,-1,330738,355389,-1,126110,861734,-1,-1,-1,197766,780182,-1,-1,-1,-1,599880,-1,-1,-1,158439,-1,-1,-1,524209,626701,729109,-1,406515,-1,-1,-1,157127,-1,-1,496002,784780,892794,-1,-1,-1,-1,-1,446804,-1,-1,245600,-1,530922,488707,-1,-1,-1,-1,924320,628268,-1,-1,615286,616178,74622,412304,417609,98948,545042,-1,154470,42633,-1,84805,-1,-1,317771,679946,-1,-1,759781,-1,-1,509887,454349,295042,-1,-1,-1,73211,38731,612047,317232,294043,412856,556777,202572,929256,-1,-1,-1,964185,-1,104101,915663,237531,165391,-1,213409,-1,-1,141864,-1,-1,973557,966153,-1,749541,-1,193442,970642,-1,513761,542032,930559,-1,-1,-1,-1,-1,-1,258462,324457,344529,724276,344902,155009,420586,-1,-1,428545,67431,332574,995214,-1,193293,-1,-1,349473,137966,-1,660431,752219,986229,-1,-1,-1,-1,417197,-1,-1,-1,-1,911525,-1,-1,861054,-1,-1,-1,71360,-1,-1,-1,518683,273092,55006,333238,391000,498211,171360,-1,123745,618059,-1,-1,188714,-1,912771,817711,507998,743479,-1,-1,-1,570727,644818,61841,135262,844362,39446,450247,-1,603327,346244,-1,-1,828471,208213,-1,-1,143899,222152,-1,771591,-1,-1,107166,303179,402806,-1,-1,-1,235620,209467,917505,478092,-1,-1,-1,556498,-1,665425,-1,-1,-1,998780,438690,718818,19117,381092,989661,-1,500854,-1,-1,-1,-1,805194,-1,534825,755481,-1,486686,-1,309251,372968,852869,-1,419680,-1,552090,-1,781119,870601,615972,-1,53192,-1,-1,521125,695734,-1,-1,-1,-1,-1,549714,-1,-1,-1,909173,662717,-1,773066,-1,45305,-1,702035,-1,699476,-1,216379,-1,593956,55068,585857,-1,-1,-1,497044,629458,-1,294876,144612,23748,-1,799646,555644,926357,-1,-1,-1,189210,-1,963535,-1,-1,-1,793261,-1,337918,425805,84057,947200,-1,797591,-1,-1,-1,-1,915894,269672,725390,-1,-1,-1,937470,-1,-1,28151,862890,330704,-1,-1,303403,402944,-1,-1,-1,-1,-1,383717,943646,199479,113508,-1,236536,668793,223550,-1,31292,432281,876902,-1,19661,550216,-1,177821,-1,620278,547382,-1,667665,-1,-1,-1,-1,-1,287270,-1,45671,-1,279117,-1,656162,516189,924449,-1,948291,-1,1213,-1,823926,299913,-1,64888,148705,-1,999530,-1,-1,-1,-1,-1,887950,-1,963484,368706,441140,-1,-1,808203,-1,-1,-1,740810,262178,573733,-1,321251,959532,-1,415518,-1,806132,-1,188909,-1,-1,-1,392245,134243,899567,-1,928243,728017,587119,-1,-1,302522,-1,24791,687600,156926,3749,947283,-1,-1,-1,797880,-1,137508,-1,318442,270846,-1,354494,-1,-1,570275,974419,-1,-1,-1,-1,-1,834150,-1,-1,-1,-1,838051,197425,-1,898628,334399,220733,-1,373295,569711,918770,-1,961078,-1,-1,-1,-1,-1,-1,-1,510510,-1,360773,-1,-1,202438,-1,903670,-1,832471,-1,-1,368933,109341,-1,-1,755826,-1,-1,22325,-1,-1,-1,532432,238198,217540,-1,-1,-1,-1,-1,573963,-1,-1,354604,402077,783913,-1,166915,-1,837173,32879,933263,-1,-1,308867,-1,557234,-1,559157,-1,409109,-1,-1,-1,-1,519926,-1,70588,-1,-1,820902,-1,-1,901371,-1,957483,740250,152914,-1,22088,-1,-1,-1,934471,685166,933985,-1,166931,-1,-1,938859,-1,508531,205243,447944,861323,860762,-1,-1,43012,-1,-1,-1,-1,971920,670182,231850,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,629704,185866,-1,-1,877812,-1,-1,542054,875079,62329,-1,920106,-1,447715,-1,81751,-1,-1,-1,643153,335011,671792,-1,-1,-1,686202,-1,-1,346235,-1,328671,700394,-1,-1,-1,829984,-1,-1,544208,184063,345721,130469,-1,-1,237897,375087,484853,-1,-1,-1,919498,682912,882513,-1,-1,591220,151279,329427,357855,212633,731333,269785,242776,-1,-1,-1,352553,62618,43950,683400,472483,-1,-1,-1,-1,-1,576513,-1,-1,598858,-1,925432,881007,632584,524769,690870,-1,-1,-1,665900,-1,-1,880514,-1,387110,-1,433619,659739,439516,773390,501909,-1,156703,-1,-1,661780,-1,534906,526880,765346,-1,739156,-1,140465,-1,-1,-1,198568,940314,-1,621033,813318,-1,-1,53763,-1,-1,997167,464581,-1,12512,699993,324385,-1,-1,-1,-1,621898,-1,429892,411386,964386,-1,-1,912156,-1,820972,-1,-1,-1,-1,-1,-1,-1,-1,350829,350272,-1,991862,285345,-1,468726,775769,503756,344200,967704,-1,-1,-1,43301,-1,-1,-1,685015,895890,-1,-1,96665,-1,-1,104077,-1,387275,-1,-1,-1,-1,696426,-1,123934,-1,-1,21873,-1,506071,-1,35787,55441,-1,-1,-1,-1,-1,571144,-1,591112,440633,-1,677205,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,805901,-1,359262,-1,629056,-1,283711,-1,-1,-1,407913,-1,-1,-1,-1,575594,-1,-1,-1,890637,869142,-1,-1,-1,638603,-1,-1,436736,168801,552870,507333,771418,-1,292371,-1,-1,962448,-1,451161,853848,525497,620568,253719,-1,139407,640583,-1,174114,-1,435314,-1,-1,-1,649797,-1,344528,-1,-1,624224,480638,-1,257118,178669,-1,-1,-1,-1,-1,401318,798727,-1,-1,-1,967336,790844,285373,-1,907548,807438,858644,183462,-1,-1,332971,-1,769425,472291,-1,495938,-1,96740,677555,-1,692309,-1,754331,704405,834821,991267,-1,-1,410112,-1,-1,301789,719596,727385,945305,912635,-1,315195,551435,927899,-1,-1,-1,-1,307597,-1,-1,-1,-1,-1,685067,426370,-1,261661,990948,657873,16372,744765,-1,661219,-1,354666,454770,53349,-1,-1,394067,824656,636671,-1,318167,-1,-1,-1,-1,-1,999630,423442,416881,-1,-1,-1,-1,784172,-1,976706,-1,-1,819301,227185,-1,-1,-1,749321,425384,-1,756439,-1,-1,-1,671921,588282,562364,-1,-1,-1,-1,93568,-1,876407,355702,66232,677582,705743,739578,873519,-1,909325,273894,-1,-1,-1,-1,936478,786520,373169,895001,621783,540872,-1,214720,178847,-1,937795,-1,503174,-1,202588,265446,-1,245259,353376,295583,195617,668528,-1,371447,21606,-1,-1,-1,665752,302182,-1,698900,-1,-1,-1,667111,711368,-1,258887,-1,474155,-1,-1,844649,628200,131204,-1,451360,-1,-1,402963,75211,272334,-1,3628,-1,229365,-1,-1,956878,269596,386318,-1,741605,998482,799205,-1,431315,878875,258178,-1,-1,-1,-1,-1,-1,886864,998809,361430,-1,-1,255426,748067,31077,-1,672185,620185,590121,-1,-1,403301,-1,-1,162251,906799,-1,-1,-1,-1,-1,-1,178947,486038,396950,-1,-1,-1,-1,611549,-1,-1,-1,-1,449553,201132,-1,987162,526762,468710,11883,-1,24834,272290,-1,-1,346185,-1,213995,754557,-1,131656,-1,-1,-1,-1,240891,382003,-1,690910,161934,-1,353492,533697,240686,514006,-1,-1,904455,325398,-1,-1,227826,230976,-1,-1,-1,770594,888041,223586,731474,-1,942442,-1,-1,-1,840398,-1,910727,672585,279538,-1,723449,-1,-1,-1,-1,-1,256307,153821,-1,970064,-1,-1,-1,643229,272443,390573,857598,710974,-1,-1,214041,615153,-1,411005,-1,232309,883128,71530,92705,-1,-1,174964,-1,-1,-1,732295,-1,165717,-1,-1,959255,-1,690905,-1,-1,866789,-1,937594,732907,-1,187420,-1,655603,286024,-1,-1,-1,539649,806564,-1,833597,960865,191154,977462,-1,310569,-1,67450,83131,140775,-1,-1,-1,-1,-1,-1,587301,-1,495306,-1,-1,438918,461232,-1,798841,-1,-1,563381,765470,657354,-1,-1,751216,-1,758772,-1,428869,-1,-1,430103,625068,-1,-1,-1,-1,342423,882719,998865,439135,174644,-1,45158,469424,-1,-1,553209,-1,412489,387713,-1,-1,-1,303535,-1,209572,-1,262638,-1,852849,-1,-1,-1,-1,-1,-1,-1,4579,146332,-1,-1,960214,334788,-1,860542,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,72602,805108,-1,67502,-1,664594,-1,462945,-1,536384,948582,-1,-1,516438,983225,-1,-1,-1,-1,605977,-1,568327,226356,316314,-1,926946,911539,-1,24872,29460,-1,-1,-1,-1,-1,-1,304051,-1,-1,132779,412864,626608,-1,531012,48679,272975,599617,-1,-1,738837,945366,253142,714391,-1,487468,-1,-1,-1,-1,-1,49985,-1,-1,-1,530739,983272,-1,-1,-1,-1,943749,-1,-1,-1,-1,249466,-1,969770,533810,5898,322003,935430,-1,493518,-1,798488,870141,101694,551122,139309,181710,40322,-1,316999,-1,-1,881691,-1,-1,-1,545916,854444,226772,61460,-1,839981,-1,737099,-1,638081,85189,-1,782051,642649,729672,-1,507877,-1,782601,-1,826809,567104,533391,-1,-1,570015,-1,414869,-1,-1,191235,-1,-1,34807,-1,-1,-1,731463,357051,-1,644921,376537,593535,-1,-1,724459,147594,-1,-1,431446,-1,46597,277235,-1,-1,-1,-1,-1,172313,-1,566798,-1,-1,455295,23705,428332,286740,719972,369309,870666,300271,-1,-1,252493,-1,977986,-1,-1,-1,454360,613526,-1,384901,-1,-1,-1,-1,544826,552745,-1,780945,268077,205202,975364,-1,131519,96066,172596,-1,930736,-1,-1,-1,-1,-1,-1,-1,-1,589214,-1,473785,-1,960111,-1,-1,-1,757736,920020,-1,209203,879625,-1,-1,640185,-1,-1,866618,-1,956978,-1,-1,868081,861556,917756,874137,9964,-1,457309,717073,-1,462820,-1,-1,352727,-1,906816,-1,-1,-1,123889,-1,-1,601982,426503,-1,-1,723358,-1,-1,-1,330610,282574,-1,689932,81822,452556,733598,-1,806502,-1,-1,885480,-1,-1,324526,846763,-1,321295,817141,-1,939607,-1,881966,-1,-1,295898,-1,553210,726439,722219,280839,-1,-1,324745,-1,-1,-1,228283,-1,253798,98586,-1,-1,-1,762712,-1,-1,126113,250261,-1,765603,-1,170056,428811,-1,-1,548357,-1,-1,-1,-1,823,548587,-1,896398,707858,-1,909419,527051,-1,-1,-1,-1,-1,-1,-1,129383,-1,-1,-1,-1,126417,-1,690792,-1,-1,575505,-1,480546,787231,-1,222548,782244,-1,-1,967547,608532,-1,-1,-1,-1,934780,-1,226350,-1,63638,-1,-1,-1,-1,-1,554300,405678,660998,17967,106563,27383,722322,64380,-1,564789,901246,882259,-1,898708,-1,-1,905173,-1,160713,906703,-1,-1,617316,-1,-1,-1,618203,220286,870393,-1,-1,-1,527358,753881,-1,-1,-1,-1,569698,-1,674196,-1,442687,-1,505177,383169,86110,542823,945459,578432,695063,754946,-1,552535,-1,-1,699217,276200,-1,378270,87349,210942,52979,-1,-1,-1,-1,127858,-1,557918,-1,824963,-1,544694,-1,438302,-1,-1,-1,-1,81296,-1,-1,-1,-1,-1,282964,470471,510151,-1,-1,225160,-1,-1,749280,769188,705056,-1,539738,998834,-1,-1,691987,-1,-1,841692,-1,11794,25217,725595,779936,-1,-1,992953,-1,-1,-1,-1,-1,689853,-1,743330,791763,-1,-1,367698,29697,29919,-1,813257,-1,-1,946210,-1,286562,439575,-1,627635,357513,495037,-1,603358,376776,311466,369891,886330,924511,-1,-1,-1,615252,-1,-1,-1,307493,-1,-1,-1,-1,-1,-1,-1,410675,898156,-1,350525,176673,-1,-1,-1,-1,272731,998288,-1,183061,912061,612621,254082,544216,-1,-1,-1,-1,-1,-1,-1,-1,699974,-1,-1,-1,-1,-1,523816,-1,-1,-1,-1,767682,163059,130007,-1,661638,430122,529435,-1,-1,888314,-1,-1,-1,-1,989783,893386,-1,-1,-1,-1,532370,-1,75153,166410,-1,-1,283483,128404,186695,842899,602571,-1,724919,-1,-1,674474,579627,287830,811847,-1,388580,-1,185532,809913,667769,-1,-1,977615,564612,-1,45981,-1,370394,-1,956890,721374,-1,-1,-1,479269,301645,323903,417608,32755,105994,840594,671671,213019,543173,847026,449478,-1,597680,320721,-1,423554,198673,-1,397271,910729,-1,-1,793675,-1,-1,170741,-1,890556,440032,225808,911589,304331,15158,-1,-1,437662,-1,220473,908607,-1,113890,872649,377485,-1,-1,-1,994023,792184,-1,403678,192146,-1,-1,482792,788106,-1,704122,-1,326966,383630,378245,201954,-1,-1,-1,-1,-1,-1,497156,132759,961159,573628,463035,-1,-1,-1,505010,-1,557803,602368,927334,-1,720239,-1,259172,417279,672514,806937,-1,-1,-1,-1,29613,706778,760892,-1,788450,-1,-1,661342,407926,903452,40197,-1,531655,794218,23786,-1,-1,-1,926935,-1,-1,-1,731778,227331,-1,432221,979716,994379,-1,946303,-1,-1,-1,-1,-1,-1,522409,-1,-1,-1,-1,503012,251284,-1,755630,-1,809079,875249,-1,974589,5906,-1,398515,419652,5229,-1,323322,-1,-1,-1,974598,-1,-1,751516,851083,365698,-1,-1,-1,552938,207231,-1,-1,-1,388675,673758,-1,642745,-1,446379,957888,999043,365050,808897,754781,-1,842418,-1,530850,-1,-1,-1,-1,-1,-1,-1,-1,853581,427233,638460,-1,434242,553298,680757,-1,186806,227273,-1,487190,-1,766344,719685,-1,-1,-1,-1,433646,-1,290602,-1,916591,-1,-1,-1,-1,-1,-1,596124,385318,83033,550962,22263,779043,-1,-1,-1,-1,-1,457746,-1,201365,570302,-1,-1,835561,-1,-1,808761,-1,-1,-1,-1,-1,-1,310190,650798,-1,-1,-1,-1,-1,602686,829489,355481,950,235733,-1,-1,-1,-1,-1,975150,227076,-1,255683,972542,-1,503094,915195,-1,247576,163487,500162,-1,-1,86332,578359,-1,316539,243691,-1,-1,620554,279739,905302,933599,359216,-1,-1,-1,-1,665327,177107,-1,942585,-1,-1,648185,-1,120210,518256,-1,442394,-1,256119,-1,-1,-1,531370,-1,-1,-1,360180,-1,-1,-1,-1,438204,-1,379348,-1,39948,-1,399229,270833,-1,-1,-1,712328,470632,-1,272686,597509,-1,54032,-1,-1,-1,539732,228738,748698,52078,73110,939968,992773,-1,86232,445541,524279,-1,438759,156387,-1,-1,-1,-1,-1,-1,-1,285134,172867,318848,-1,-1,728663,499209,-1,286519,-1,-1,-1,-1,615272,427470,-1,-1,606161,-1,-1,-1,-1,-1,360255,-1,702878,808925,436245,692416,93114,-1,-1,-1,-1,883132,-1,-1,216032,281158,885917,-1,122456,-1,367839,716180,-1,310980,980688,-1,59203,960471,449154,-1,120969,181104,-1,853589,-1,-1,31946,-1,-1,-1,-1,107482,301187,214562,-1,949527,300332,310089,382032,520672,-1,-1,992751,-1,455337,195843,-1,-1,82042,-1,395153,-1,-1,604527,648651,-1,-1,134279,-1,216426,542744,651287,262146,659971,471294,154905,-1,-1,-1,-1,-1,53751,-1,391994,-1,182781,-1,871151,194803,-1,966940,485366,-1,991794,-1,415122,-1,-1,-1,187698,-1,185789,-1,-1,814161,584662,-1,-1,444682,-1,704645,-1,-1,694902,657251,-1,-1,-1,-1,911006,-1,-1,452913,-1,564507,160934,-1,844531,124085,211360,77381,-1,-1,-1,130156,579517,-1,557696,-1,730814,257020,292517,-1,-1,-1,-1,-1,-1,285316,958584,414289,837894,27848,-1,-1,-1,-1,-1,162524,54216,277936,12965,234907,601443,336767,954384,818987,922315,25018,-1,-1,-1,136312,872972,286677,-1,-1,431717,-1,306049,703765,-1,330254,754937,-1,-1,-1,194664,211560,509692,389471,755988,656967,-1,524455,155492,630990,706711,205370,-1,500347,371775,-1,667198,829343,-1,-1,12082,-1,-1,175899,-1,274047,-1,-1,10721,684519,31682,109904,595492,-1,920066,485493,-1,-1,928583,-1,-1,-1,351743,-1,267855,864902,-1,-1,416209,675238,-1,519192,-1,-1,212853,-1,-1,-1,-1,-1,777924,-1,906315,-1,318265,-1,-1,176803,423191,-1,-1,-1,-1,-1,277472,940570,-1,-1,-1,-1,-1,366677,158065,763434,892696,513591,-1,-1,757655,-1,-1,-1,-1,-1,-1,202078,-1,9775,165787,-1,858696,158585,59958,-1,-1,-1,-1,-1,-1,884538,-1,72086,711162,766465,-1,688101,930178,-1,246101,437179,-1,-1,69700,135073,927711,590664,579127,801029,767342,-1,260856,-1,529833,-1,87775,-1,-1,-1,11726,-1,-1,975224,-1,-1,-1,-1,88491,145560,788826,-1,-1,162351,-1,758962,838237,-1,63596,-1,44240,718945,924818,-1,-1,-1,235933,21551,-1,-1,575948,440607,-1,410351,961480,-1,809282,-1,828810,-1,-1,851042,-1,-1,948452,53243,418309,999334,-1,-1,-1,-1,-1,-1,256158,-1,773553,792161,-1,460407,64111,-1,-1,-1,-1,762157,422940,51127,888417,-1,187518,-1,-1,856812,-1,-1,475674,-1,885798,-1,-1,480931,-1,-1,-1,62463,612572,-1,90224,-1,175745,-1,-1,271722,-1,662454,-1,87946,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,880121,-1,-1,-1,330479,-1,248946,889969,539720,413141,923637,76531,683384,351869,802433,-1,252605,-1,757593,669876,-1,461868,-1,587579,-1,747192,-1,-1,431069,-1,889299,448737,-1,-1,6514,-1,-1,777470,271941,26866,104331,535747,-1,-1,-1,-1,-1,832355,-1,-1,412472,-1,970098,-1,987404,-1,-1,-1,184133,-1,-1,370264,674979,-1,-1,415816,-1,-1,-1,242272,-1,578218,-1,-1,-1,-1,926748,-1,766384,848771,-1,-1,-1,-1,-1,-1,657225,-1,644066,637476,-1,161952,867587,-1,315808,-1,499400,-1,672170,-1,626629,76688,-1,858475,887397,939829,-1,386174,180098,534625,-1,-1,-1,-1,-1,-1,141241,-1,-1,-1,541500,997414,53615,-1,954259,362816,-1,152459,976961,-1,-1,308410,717041,658516,229872,-1,472843,-1,-1,571798,208709,-1,-1,533972,-1,507146,806555,346849,-1,888372,-1,-1,-1,540852,272176,950176,-1,-1,470638,-1,-1,774129,242430,34535,-1,-1,-1,729311,682703,964699,-1,-1,829152,683093,341423,-1,-1,-1,955807,-1,-1,896653,333648,-1,-1,884758,-1,753460,421941,-1,32805,-1,154329,-1,57462,578542,-1,-1,121897,-1,777995,-1,978292,-1,850606,3958,-1,202850,956813,-1,-1,-1,24616,456107,487804,-1,694723,995964,-1,-1,451486,-1,-1,737687,-1,404247,-1,860233,943766,796614,552532,-1,776548,-1,-1,-1,-1,-1,-1,-1,-1,498309,-1,261080,630809,-1,-1,-1,-1,-1,-1,485895,653026,981187,745799,-1,-1,-1,-1,417469,136974,915007,-1,-1,-1,775970,-1,-1,-1,600785,-1,-1,317357,462126,-1,-1,-1,214973,-1,163700,-1,-1,-1,938831,485503,990508,425306,-1,853292,-1,-1,-1,-1,29389,-1,-1,828442,391137,-1,581418,-1,21549,-1,391603,-1,-1,982144,-1,99579,-1,-1,724585,19290,-1,339040,801265,74859,-1,-1,92654,-1,-1,6010,978012,234828,301950,-1,-1,795775,331400,-1,276956,-1,462616,218080,223787,657007,-1,-1,-1,562579,888031,-1,665302,664509,291590,767446,563619,774915,762631,800125,-1,-1,887812,827181,-1,-1,207379,923722,-1,-1,-1,-1,240243,-1,-1,-1,271021,317415,490260,492581,-1,592492,261792,981814,82845,-1,-1,865076,783854,-1,-1,-1,-1,161432,-1,-1,-1,-1,-1,-1,-1,845580,-1,-1,156440,-1,809426,-1,-1,425614,455348,-1,622337,421831,-1,67817,-1,885577,-1,-1,977353,542074,-1,928322,760020,340365,189473,321745,-1,-1,-1,709128,-1,884718,460688,-1,232501,726721,-1,-1,260997,-1,709150,-1,372793,554753,-1,-1,989474,399996,-1,-1,-1,156775,619688,-1,-1,444381,-1,-1,-1,-1,575697,-1,192438,422710,-1,-1,-1,-1,775206,-1,454930,-1,800271,-1,933020,358359,128728,982917,-1,-1,618585,-1,-1,-1,-1,-1,90464,477552,-1,-1,-1,549529,-1,438715,569599,-1,784960,-1,926798,-1,769804,-1,-1,-1,-1,-1,-1,788927,-1,-1,-1,-1,541257,-1,-1,669718,383032,25658,135214,520895,464633,129450,603879,350982,598706,732641,463720,265444,819811,162557,-1,791760,-1,440219,-1,396581,-1,-1,825587,820085,889002,901819,561116,232169,-1,815255,840842,-1,521226,555589,-1,-1,-1,974574,299448,318248,-1,-1,-1,-1,928508,-1,247006,-1,-1,167257,-1,354273,541507,973675,-1,-1,75384,-1,-1,-1,460561,-1,-1,-1,-1,613458,46098,-1,-1,682449,267551,-1,-1,534305,818376,-1,640304,-1,-1,922010,350488,-1,514423,-1,846204,-1,-1,874397,77121,909668,925516,-1,363349,446663,919150,-1,-1,186626,-1,-1,-1,732262,723017,228046,839993,755310,-1,1454,-1,-1,-1,6779,826666,34409,-1,978611,-1,-1,307303,-1,-1,7711,-1,-1,-1,72959,144436,-1,628210,-1,717387,561800,934277,551908,-1,-1,-1,-1,-1,-1,276179,-1,-1,139453,682776,73094,661823,-1,452293,-1,433219,-1,-1,614941,278971,-1,-1,-1,933423,-1,542921,39606,-1,-1,-1,831379,349226,-1,975245,-1,-1,263647,-1,-1,-1,603911,657572,-1,-1,-1,-1,206797,-1,-1,-1,546084,163158,266219,228799,-1,-1,-1,421346,-1,616582,210003,-1,101693,-1,363153,314491,224757,677763,227840,887806,848458,311822,377849,972495,-1,-1,-1,790385,139239,146419,-1,-1,147887,483520,823897,-1,-1,-1,-1,-1,569652,-1,-1,327535,-1,213088,824242,91516,-1,-1,-1,-1,-1,734400,-1,303545,589679,109925,-1,-1,672023,-1,206310,-1,-1,-1,-1,-1,-1,-1,-1,-1,935924,-1,846770,340256,-1,480131,270090,-1,775900,879458,-1,421449,843321,445224,-1,-1,577114,-1,742118,61464,-1,-1,753699,-1,599704,295029,-1,-1,-1,-1,55542,-1,165311,853684,-1,-1,-1,978641,745784,178188,-1,-1,-1,-1,216990,-1,-1,-1,-1,-1,788250,726760,490435,736816,-1,175871,69782,783646,763034,792745,-1,61726,397544,257306,992340,-1,879637,-1,-1,-1,-1,769552,-1,328257,-1,-1,-1,408230,579494,268488,-1,677545,318352,877553,917618,-1,-1,760709,763663,-1,40307,-1,-1,-1,826201,-1,311304,-1,934031,761440,454084,453753,420395,651239,-1,166234,549056,-1,-1,-1,131487,908994,-1,-1,-1,-1,-1,-1,484787,-1,990519,-1,428842,-1,-1,-1,-1,806455,-1,-1,365370,-1,-1,-1,-1,105786,50672,529523,536048,-1,-1,-1,293587,-1,728988,-1,-1,577964,-1,358133,-1,672719,-1,38504,-1,281490,-1,-1,681836,-1,-1,-1,678009,-1,-1,216369,-1,530661,-1,-1,563450,410683,124492,-1,-1,-1,-1,250896,-1,198495,-1,-1,997523,-1,-1,-1,171941,742962,608699,-1,545426,-1,945986,-1,717706,580943,-1,167738,-1,-1,-1,182849,-1,51192,-1,-1,99667,-1,714520,117422,361888,-1,179395,-1,-1,-1,835251,-1,120748,-1,-1,94887,969059,300210,715898,839563,-1,127707,710299,-1,997534,677516,-1,982489,363705,141263,490730,-1,19031,607079,680103,-1,-1,-1,-1,-1,202750,572454,31213,399287,130549,-1,838216,322427,56391,-1,-1,325978,686052,-1,820006,311701,773432,-1,-1,882392,-1,-1,-1,-1,701568,-1,297643,107593,-1,756721,506597,-1,-1,201466,-1,447730,789217,494922,-1,-1,477450,-1,-1,324217,217755,-1,161197,-1,-1,705156,-1,27835,621258,575916,955562,361254,-1,-1,-1,-1,-1,402758,-1,-1,-1,133607,924279,-1,-1,372588,587952,-1,248588,-1,733858,253588,878268,-1,-1,-1,607414,-1,-1,-1,505005,-1,-1,-1,-1,584987,-1,41021,-1,835252,466095,74241,-1,267329,230267,911000,-1,19009,-1,-1,-1,-1,273605,-1,-1,-1,264538,632410,772321,870285,-1,13564,216713,914900,-1,-1,374488,184762,-1,-1,665516,-1,88217,809257,855168,185491,278422,506474,127793,348406,-1,316782,-1,-1,164904,325246,593897,399727,-1,-1,679522,61237,-1,267123,-1,-1,863161,199923,869677,-1,372815,-1,613182,-1,-1,391163,216550,-1,331464,653458,798541,-1,-1,883085,550082,893124,694752,19606,-1,-1,680070,528623,189688,144953,-1,-1,-1,644794,26555,-1,-1,-1,766375,386031,-1,-1,-1,852043,208892,-1,-1,760945,-1,-1,371699,600950,-1,900440,375372,-1,-1,760901,294685,212588,722176,199967,879160,258854,-1,327237,-1,-1,766205,42059,946940,-1,300826,698663,331483,261161,612321,941990,-1,-1,803570,-1,988885,233609,822661,-1,-1,144751,-1,759486,-1,-1,-1,979184,937015,525567,902947,116252,918662,-1,-1,-1,-1,-1,498125,-1,-1,521737,104677,998673,979188,109753,-1,790302,295506,744569,-1,-1,735102,-1,467984,-1,58618,-1,223437,315442,6172,278147,366019,811573,-1,311569,-1,685938,-1,689959,265636,-1,224345,719767,380498,-1,-1,-1,162457,291907,866732,993637,-1,783509,105192,-1,204263,-1,161990,-1,268255,154784,694380,-1,358978,-1,591964,680857,957059,538289,958320,84464,814188,975001,-1,-1,-1,-1,-1,-1,-1,819801,66074,698408,593018,-1,-1,-1,708519,109244,-1,-1,24132,954090,393404,-1,763386,858650,776392,-1,42760,-1,-1,497653,828073,-1,864782,648431,16103,518495,652155,891360,-1,-1,824031,-1,-1,-1,137476,634740,443245,980561,-1,669170,704533,920725,619019,-1,-1,6484,-1,80067,-1,899037,142065,191579,320428,-1,-1,-1,53527,-1,309749,-1,-1,-1,969599,850704,-1,765568,357279,-1,443501,-1,-1,240805,22313,808359,-1,-1,-1,618967,-1,743906,587972,854450,-1,-1,449648,-1,-1,423625,282419,-1,259231,-1,-1,424745,-1,271017,-1,942461,994924,639591,-1,-1,-1,-1,-1,-1,-1,-1,931869,-1,46915,-1,-1,280251,238676,-1,545565,-1,69334,-1,534466,269136,65230,-1,-1,327060,-1,976253,-1,-1,233208,-1,612055,-1,-1,137965,-1,672166,-1,66118,-1,787237,597080,529792,233037,350877,-1,873485,-1,-1,373312,-1,303948,-1,197628,926534,-1,-1,461494,944491,345046,564575,-1,368695,423432,-1,-1,-1,-1,-1,751098,-1,412666,-1,51750,-1,642965,758525,-1,125601,758684,-1,-1,-1,888743,22706,587857,833160,694591,-1,227668,749155,323925,912871,-1,250667,578255,-1,268164,16676,709021,830145,215770,-1,179709,-1,-1,-1,-1,-1,-1,552129,-1,-1,397956,-1,507645,-1,303911,-1,400622,-1,-1,394581,942353,835618,-1,695334,463602,977741,-1,-1,-1,-1,390644,-1,818656,-1,-1,-1,599480,896473,-1,-1,972748,312443,-1,-1,-1,787356,699647,557211,989283,676952,5428,-1,-1,-1,-1,502080,-1,575560,192812,993973,662307,401087,974381,190107,128421,973270,372077,-1,-1,204758,-1,-1,339003,-1,202597,646079,640266,682447,734814,444541,-1,-1,550053,-1,527763,-1,389797,-1,665251,-1,-1,621965,989399,952774,-1,299838,-1,-1,68053,-1,173853,-1,511198,111519,737826,-1,-1,104507,71473,-1,-1,-1,484065,939632,-1,98800,-1,-1,-1,-1,-1,-1,180091,-1,-1,119440,-1,306768,-1,-1,-1,-1,547262,384230,839654,393718,151467,801691,-1,167355,-1,-1,-1,192099,-1,-1,353194,-1,74811,767938,-1,-1,-1,-1,-1,802009,83432,-1,227302,-1,888537,804796,659631,-1,325278,-1,390822,-1,763358,-1,901279,-1,503338,-1,209175,460711,-1,-1,840581,-1,-1,-1,122886,-1,-1,-1,712413,-1,871672,580454,117022,877482,-1,-1,-1,281169,847412,228477,-1,463253,-1,-1,-1,21078,66435,942055,-1,551324,988623,403571,922595,211985,608154,835856,-1,474619,-1,-1,537196,-1,406427,-1,-1,629443,125560,216970,157956,-1,480194,363156,-1,-1,717344,898829,151785,-1,-1,-1,-1,-1,251320,-1,914980,200464,-1,-1,59756,753209,-1,-1,224207,926837,382919,743562,-1,-1,-1,697160,322572,136,-1,-1,-1,761353,541302,-1,280541,-1,925172,-1,667758,-1,740569,-1,-1,679931,991498,423599,954023,-1,604055,601524,554416,624810,-1,476409,926330,-1,340977,-1,127224,357922,222354,729724,894640,-1,371330,-1,-1,-1,-1,385817,658828,881718,95417,-1,441663,957879,77677,-1,-1,-1,-1,-1,-1,-1,-1,-1,996762,-1,-1,-1,625298,802361,-1,554285,856987,185973,-1,831219,-1,-1,-1,925425,-1,-1,433637,-1,-1,208595,859527,765937,-1,-1,-1,692267,432353,-1,-1,772968,-1,308861,984654,-1,-1,-1,-1,114421,645296,-1,-1,628422,-1,155519,-1,-1,-1,-1,758319,38412,886098,-1,399320,-1,-1,-1,871729,76048,-1,-1,-1,-1,761484,448586,295713,-1,384858,-1,154002,-1,-1,868758,-1,65903,-1,875469,592680,53601,14822,-1,379803,674557,851743,-1,459718,517007,199650,984568,-1,425544,-1,263123,-1,-1,-1,-1,-1,256145,-1,929948,-1,-1,727521,390028,706248,-1,282872,869071,346004,121070,292900,263996,16424,-1,-1,-1,628113,-1,565321,813855,732218,348666,-1,792113,-1,-1,-1,-1,585218,336974,-1,142701,-1,561739,-1,394741,667746,-1,684405,-1,-1,834425,623405,-1,-1,621938,-1,-1,780142,-1,511047,-1,405655,993085,-1,869517,280416,-1,-1,219948,913785,-1,718072,-1,-1,857250,-1,23241,-1,246070,963769,214815,-1,872908,60107,-1,906595,-1,-1,-1,797377,671910,-1,117580,936315,239465,340948,-1,-1,-1,-1,984861,489900,866224,-1,-1,-1,139455,-1,-1,-1,581960,758192,649879,210335,132496,-1,480702,-1,682053,-1,-1,75940,-1,604356,88374,-1,-1,307416,21417,78646,301944,-1,356081,-1,-1,-1,707076,293189,-1,-1,821996,476274,992035,-1,-1,124183,-1,371224,-1,-1,-1,297831,-1,224339,796081,729566,385072,132978,-1,66067,775440,52672,962822,565214,-1,366879,-1,860334,-1,-1,-1,-1,600668,617290,-1,-1,-1,578464,458329,792011,-1,-1,-1,-1,-1,680848,-1,-1,-1,-1,150483,906058,-1,-1,-1,26145,-1,649958,449797,752514,-1,-1,-1,-1,194197,-1,151196,-1,836791,328686,-1,800633,540373,-1,-1,56352,-1,-1,-1,-1,441169,-1,-1,195039,-1,-1,-1,884974,-1,140628,191206,-1,260106,708544,-1,108863,75674,-1,763648,-1,737080,-1,724509,638310,835950,-1,284191,326492,-1,-1,-1,792794,747849,-1,-1,-1,-1,969706,207927,853512,650107,478635,-1,-1,-1,308607,-1,-1,-1,361360,365696,914909,-1,-1,330306,818705,6580,-1,229133,-1,-1,563442,-1,-1,657925,-1,-1,218945,-1,992706,81465,164237,-1,-1,911640,-1,542258,-1,-1,772033,-1,630543,877222,815642,779607,-1,-1,228628,611058,742299,-1,-1,-1,-1,37276,270109,765433,496503,-1,-1,-1,-1,-1,-1,286494,76887,534219,443781,902649,425955,-1,-1,-1,-1,140974,-1,231217,883857,-1,-1,-1,-1,-1,-1,662390,841922,738138,207084,-1,-1,24695,223963,-1,-1,664353,-1,-1,480237,72788,-1,306329,202931,-1,-1,-1,631732,496476,-1,-1,-1,-1,547210,-1,435228,-1,85327,836708,854275,935295,-1,522049,-1,766148,907539,-1,206202,-1,716294,-1,-1,815669,832420,870467,969589,405443,610583,590104,-1,-1,256679,-1,-1,-1,-1,260604,-1,-1,-1,159735,-1,-1,-1,-1,544126,-1,-1,-1,885745,840715,395140,-1,-1,266498,-1,-1,-1,152881,-1,-1,-1,65077,-1,-1,-1,-1,839891,-1,-1,-1,-1,-1,594535,523164,-1,322634,-1,771430,490361,-1,-1,-1,-1,-1,-1,-1,580389,838823,-1,-1,807096,407313,788160,-1,-1,-1,-1,366029,771834,533707,-1,96597,-1,-1,135539,771616,-1,933301,849985,50816,212415,116010,111313,-1,-1,446764,-1,578836,387142,-1,909296,357528,272076,105512,-1,121683,-1,-1,505867,-1,-1,903808,415729,-1,-1,481493,327879,895754,-1,-1,286982,578226,837314,431074,-1,-1,691242,597565,-1,-1,-1,261988,-1,-1,-1,-1,-1,-1,35074,4220,572648,73309,469691,-1,289420,-1,-1,750124,262300,-1,-1,-1,-1,197245,-1,-1,-1,-1,98886,-1,211820,902142,592579,441083,936616,431940,-1,-1,355639,44682,-1,211759,598880,216516,-1,-1,588369,-1,847363,82457,-1,461537,852371,-1,-1,-1,-1,-1,-1,907188,351524,-1,125545,766578,484802,348408,-1,-1,-1,-1,-1,-1,896197,283887,26966,6848,834728,634063,475414,242799,-1,-1,394204,-1,942195,531589,-1,-1,576207,738084,-1,-1,13079,-1,868042,-1,476276,870882,-1,-1,587708,-1,9175,848764,-1,-1,472828,764151,-1,493414,31785,-1,-1,-1,-1,671493,-1,100339,269300,-1,-1,-1,-1,188912,-1,883341,503271,-1,-1,-1,768458,955696,123774,-1,409047,361620,198251,-1,-1,-1,248169,604609,498464,514751,-1,-1,779776,-1,-1,-1,-1,851733,-1,170018,-1,-1,865499,-1,-1,106459,-1,-1,-1,562528,447697,-1,661139,219660,-1,-1,542624,-1,333822,611959,686837,-1,-1,-1,721249,-1,-1,-1,-1,-1,-1,745781,477784,-1,-1,-1,58893,263152,892627,-1,408439,722589,403545,884439,-1,-1,-1,324532,519158,993168,594909,146,-1,-1,442833,110771,-1,-1,409489,-1,-1,458225,592819,-1,451021,-1,-1,-1,590719,211206,100996,764831,-1,731012,-1,-1,419338,224109,-1,-1,889072,-1,221771,-1,-1,-1,180697,-1,-1,-1,-1,-1,-1,160846,-1,-1,555038,-1,672675,176780,587820,913981,212739,209666,957615,528030,-1,-1,861205,-1,-1,230259,781900,-1,-1,404542,509144,310453,991468,528299,-1,182442,-1,-1,-1,388861,809088,848399,940960,326723,894732,999387,202965,-1,-1,654431,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,442732,-1,43273,23603,-1,773611,-1,-1,-1,734161,327449,-1,-1,-1,5577,778079,-1,429943,638966,-1,-1,152898,-1,701027,278627,46846,-1,-1,-1,788346,-1,-1,-1,-1,-1,-1,817565,127885,-1,-1,-1,980259,-1,-1,131843,72746,736035,-1,301611,852364,690601,134894,736337,819689,471777,-1,458332,-1,960470,-1,496761,-1,-1,-1,-1,489934,233762,-1,-1,814673,295903,-1,-1,660374,-1,-1,-1,-1,647829,-1,461335,98648,321715,750464,-1,995366,-1,-1,872004,71583,413680,-1,-1,290181,-1,255181,662105,-1,626582,352291,265852,-1,449294,958845,-1,-1,-1,911185,-1,-1,453441,482834,-1,139214,753429,331945,450971,-1,-1,724999,455935,-1,-1,903365,-1,-1,-1,945940,248579,699805,-1,-1,-1,-1,332052,249310,-1,-1,851047,-1,-1,-1,-1,-1,3961,-1,-1,-1,-1,-1,-1,318829,856566,747625,89120,-1,-1,-1,8585,234620,-1,-1,764788,-1,-1,-1,-1,302363,-1,453786,-1,-1,261428,-1,89865,459291,65542,-1,137174,781926,-1,973593,892612,-1,-1,-1,-1,22482,549685,-1,-1,-1,904618,745456,263047,-1,-1,-1,-1,678707,412438,-1,196704,-1,833690,-1,-1,-1,305903,-1,-1,-1,-1,-1,483488,749978,-1,-1,316742,331314,287091,491079,-1,-1,990189,-1,-1,927751,-1,-1,-1,-1,-1,394937,-1,-1,962624,-1,-1,659017,-1,-1,498662,908238,532337,-1,-1,201883,904755,-1,-1,-1,558347,668197,872785,769522,426387,818282,373376,-1,392917,23413,608914,-1,25098,187846,-1,849809,-1,360321,470271,-1,-1,-1,70062,760091,666395,298720,-1,-1,901455,463337,915192,-1,811509,522289,-1,-1,-1,4049,115427,-1,-1,-1,-1,949496,829477,253847,-1,-1,809631,-1,-1,946116,-1,968364,-1,-1,-1,-1,122385,-1,993724,-1,-1,-1,-1,-1,524991,-1,-1,-1,-1,-1,-1,291874,226938,538976,8528,-1,342555,-1,499016,791592,-1,-1,-1,-1,-1,359872,-1,-1,698554,442314,-1,768317,249991,209754,161665,555504,472763,-1,-1,-1,-1,65311,-1,716117,-1,695680,633366,-1,-1,619032,697842,-1,86857,358908,560245,425523,938241,915940,143987,291057,-1,-1,-1,-1,-1,432211,87127,637472,-1,820263,-1,214477,249323,190699,-1,523299,-1,744759,-1,-1,269179,241948,160548,-1,583146,-1,-1,-1,-1,-1,-1,629713,-1,-1,-1,-1,-1,193945,-1,-1,117981,101968,463562,440894,662559,934114,-1,-1,951567,-1,-1,913592,-1,-1,248911,-1,563060,-1,-1,127606,472051,291609,537821,197244,-1,-1,-1,110262,282569,681022,-1,-1,321042,217766,465346,-1,854210,278871,920776,314746,566445,245792,-1,180013,-1,969723,-1,60037,278626,463676,697067,50384,-1,833153,231751,-1,-1,-1,-1,195175,964038,338927,-1,-1,-1,797891,398869,217301,-1,-1,235913,-1,-1,111120,628289,-1,-1,-1,-1,-1,222576,-1,435680,-1,737946,457380,-1,611794,-1,788785,-1,838366,226945,-1,-1,-1,879866,-1,-1,323287,397059,-1,-1,275624,-1,-1,-1,-1,-1,-1,204260,450484,-1,991604,403142,909345,-1,71896,506832,-1,-1,-1,-1,-1,438049,-1,407017,-1,822010,-1,-1,591162,-1,265932,464098,406213,-1,-1,-1,-1,700536,885420,237330,750172,163108,-1,-1,-1,135079,-1,-1,984974,-1,-1,707685,205657,496572,449352,-1,943957,569384,-1,-1,62856,417906,571689,-1,511094,-1,-1,-1,-1,-1,-1,612333,963193,-1,-1,-1,777107,985578,324714,-1,813374,230973,410295,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,996686,391166,194216,-1,8333,136192,770676,194382,834918,484745,88669,-1,997268,-1,-1,-1,821696,-1,-1,-1,-1,-1,425327,480269,501096,-1,-1,-1,810507,-1,468336,-1,-1,-1,-1,142092,318553,176545,-1,974414,958176,-1,-1,643072,905574,337619,412146,221196,747706,-1,-1,-1,39477,-1,489399,264175,-1,6793,549509,404955,-1,90487,159772,981091,724915,252092,994795,-1,-1,-1,-1,305703,31415,584098,948633,-1,-1,-1,506827,-1,532738,512585,117847,-1,236606,361270,-1,-1,821146,-1,816302,-1,-1,-1,523554,715615,21139,909802,449175,-1,383940,-1,25968,-1,-1,601130,-1,-1,-1,216073,-1,853998,-1,279989,-1,-1,-1,486664,-1,317137,904223,-1,761366,-1,-1,-1,-1,239072,-1,-1,-1,363068,-1,-1,-1,-1,-1,-1,574948,-1,-1,-1,-1,433573,963474,611335,790167,-1,944384,827678,966760,-1,809994,-1,502178,-1,870320,519530,588760,-1,752584,-1,850782,273937,364167,308873,604597,372697,-1,595437,868833,665681,77496,-1,-1,-1,188375,722238,374302,840271,744911,636187,749073,365425,-1,-1,-1,66504,675380,736726,-1,980552,634439,956455,-1,997530,-1,134386,66749,550345,587520,264931,-1,-1,646981,-1,801434,-1,413683,723309,288292,-1,-1,-1,-1,940116,-1,-1,345253,-1,-1,-1,-1,605840,-1,332242,653943,667850,-1,-1,152218,-1,571802,586719,-1,-1,125886,-1,-1,-1,-1,-1,143468,469526,-1,448096,283849,996572,-1,875881,958258,-1,425866,861341,780407,57946,-1,571796,-1,320220,-1,-1,906543,-1,284831,693421,-1,-1,-1,763067,369667,306382,439468,-1,-1,262442,-1,166934,337329,-1,741929,-1,389966,-1,915674,249949,487656,-1,-1,-1,-1,465153,852606,-1,-1,-1,-1,-1,892496,683986,556334,359062,-1,108073,-1,-1,-1,-1,-1,-1,-1,940640,748355,-1,-1,880449,900418,200471,-1,802479,-1,-1,-1,916639,885063,-1,-1,30861,-1,334683,832983,402679,-1,-1,-1,318186,89061,-1,-1,-1,-1,557522,849641,-1,-1,386912,427359,-1,972639,-1,-1,360407,280601,843563,-1,923086,-1,313858,-1,136994,605067,155844,-1,253649,-1,-1,-1,-1,911678,951239,-1,110714,527709,-1,986945,704370,837617,-1,840088,-1,634972,532216,-1,450647,-1,874957,68636,-1,-1,755749,-1,996625,371283,-1,-1,-1,-1,876682,488624,157969,-1,-1,-1,-1,324839,305940,-1,44504,587373,-1,634537,-1,-1,945130,589142,829679,-1,-1,-1,-1,633766,-1,597494,967467,-1,-1,803581,291467,830072,-1,-1,-1,77897,894504,-1,-1,14944,704041,-1,27708,699047,-1,166549,-1,-1,588160,571701,-1,-1,156934,-1,-1,-1,-1,-1,-1,790082,-1,-1,962566,-1,99003,-1,291688,272149,-1,115762,440863,113164,-1,62011,-1,876223,461194,372005,-1,911646,609970,229791,-1,-1,718054,457802,-1,-1,922069,120313,-1,-1,-1,381703,396022,-1,-1,625330,296948,-1,-1,271166,-1,-1,129793,892939,-1,-1,-1,-1,-1,508648,214702,411444,312062,-1,611715,-1,16987,714164,-1,993816,225882,3836,-1,-1,146798,-1,39397,-1,543527,-1,-1,755073,-1,-1,-1,-1,-1,121680,-1,-1,-1,442038,-1,-1,-1,-1,498943,-1,-1,-1,370945,287628,986135,-1,943919,-1,-1,756677,-1,-1,-1,-1,-1,-1,-1,185642,615737,159239,589059,12104,206078,323914,363403,-1,-1,-1,246211,419616,-1,491749,-1,501690,-1,-1,-1,-1,168718,-1,-1,41757,424726,146455,765073,-1,-1,-1,37362,16571,-1,571698,-1,822378,-1,-1,640100,-1,609484,-1,-1,-1,-1,629136,206864,-1,491606,-1,-1,-1,802106,-1,288592,265425,577106,119932,576399,-1,720279,873670,-1,-1,750225,190376,454578,494205,883601,476329,-1,-1,-1,-1,-1,660552,678895,473390,-1,410415,269586,-1,415556,662941,-1,206925,247820,-1,153015,699980,242588,394324,-1,-1,-1,713120,-1,-1,-1,66735,873527,297186,-1,914989,-1,-1,883650,752015,809932,-1,91847,410267,961114,-1,12908,949060,-1,66065,252710,-1,502302,196231,-1,-1,168480,-1,385421,13000,554561,846651,-1,238980,-1,615944,633619,6693,104871,-1,-1,624885,405805,-1,-1,-1,951179,-1,-1,-1,-1,978797,-1,-1,-1,-1,-1,379316,-1,451684,-1,608096,-1,289075,-1,516708,-1,-1,671243,-1,-1,-1,967555,63427,-1,-1,658590,481659,84437,-1,-1,-1,-1,308345,-1,-1,340545,706880,472685,-1,-1,511445,-1,-1,-1,-1,-1,121565,144013,-1,834713,-1,533701,841881,202590,834409,388606,724729,-1,700556,632535,820561,350856,270429,-1,-1,-1,283458,-1,-1,483907,-1,796174,918368,633357,824022,-1,-1,-1,-1,-1,2032,-1,-1,852665,832537,-1,278145,-1,743009,-1,-1,143805,901109,-1,575407,687533,-1,-1,445213,-1,-1,159069,-1,-1,-1,-1,-1,408450,-1,1812,-1,-1,75979,480077,-1,-1,-1,540580,352958,637187,707667,-1,562679,161550,-1,838166,702763,-1,-1,-1,154864,778860,-1,-1,565223,100647,-1,23851,-1,615044,-1,298723,434454,845212,873707,338034,890002,-1,602488,544582,668293,-1,463369,736004,373625,561418,32135,473618,843343,283541,306749,910957,-1,-1,-1,426232,-1,810850,-1,674800,930259,106132,856903,-1,805732,-1,384561,-1,-1,-1,244616,-1,716557,18369,292699,336451,-1,-1,280669,34900,695310,744940,907130,219224,398746,983896,-1,603416,-1,408353,-1,-1,-1,762933,515542,286039,-1,-1,-1,-1,334540,600156,-1,139142,785117,258112,-1,719640,338324,722799,26778,392041,-1,746613,-1,-1,841369,862818,722846,345500,-1,309979,-1,777491,-1,-1,-1,499927,-1,696291,861665,-1,59253,825873,-1,109945,-1,758579,-1,-1,-1,-1,-1,-1,-1,-1,-1,519184,-1,332257,732496,-1,-1,-1,-1,-1,387934,623429,-1,303790,811625,556178,-1,-1,653913,-1,-1,484123,85871,310789,-1,389511,798406,-1,787416,651343,784068,-1,764076,924926,91073,459942,-1,214474,50354,-1,-1,-1,927046,-1,-1,572330,102956,-1,-1,-1,218415,613898,879657,783485,192727,463378,-1,331329,370859,763283,962669,604060,143976,-1,-1,128086,48839,-1,-1,-1,382833,398321,864301,723351,-1,195097,-1,-1,782693,843230,255048,129424,518584,935944,814870,323408,157180,541451,-1,631971,673254,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,177420,945964,-1,411855,-1,-1,-1,426502,-1,971078,763215,-1,-1,907359,584977,-1,974554,567333,-1,429426,-1,-1,-1,790022,-1,130260,929282,-1,-1,-1,637787,-1,-1,-1,-1,287887,458117,863410,-1,-1,-1,770013,547261,714986,567761,615131,841441,916873,882264,-1,756801,12728,971736,364320,923331,-1,831204,347459,632123,958645,-1,-1,-1,-1,639250,-1,-1,306706,-1,-1,264771,-1,-1,819374,-1,775252,1439,412792,563329,-1,-1,-1,539999,-1,-1,273199,-1,-1,697307,619845,181263,-1,552934,791444,-1,-1,-1,120876,-1,-1,232940,-1,-1,808170,-1,997638,746447,-1,-1,654504,330171,634057,-1,-1,-1,-1,-1,627096,639269,-1,302479,-1,270920,-1,99042,63036,779548,695850,414118,563054,341677,622951,-1,-1,-1,930402,445694,730708,893886,646851,43280,336948,641431,-1,-1,92056,208260,-1,-1,832673,776718,685517,955745,95536,436690,-1,-1,92657,-1,372724,994168,-1,335664,206489,404421,-1,-1,908872,-1,488802,903741,-1,760939,796659,-1,958986,871905,15034,-1,-1,527727,271545,139162,451047,37680,-1,70326,-1,194276,-1,920981,964832,-1,553684,-1,-1,-1,-1,-1,-1,212437,-1,255191,683288,-1,171487,-1,-1,-1,-1,-1,381008,-1,313693,953329,-1,-1,825613,921945,144532,306577,-1,656849,-1,-1,-1,51415,374697,246649,539297,-1,-1,-1,231433,-1,169416,709356,-1,814770,959170,-1,-1,458426,-1,-1,622963,188561,-1,834058,-1,721487,734653,-1,-1,510593,-1,-1,572177,-1,-1,294319,-1,-1,-1,28065,-1,173846,-1,-1,287009,-1,-1,-1,-1,610169,-1,407213,-1,-1,-1,454993,885015,-1,-1,269283,-1,-1,151219,481520,548692,-1,-1,-1,146820,895037,-1,191368,-1,173852,209041,-1,507247,67780,178180,13855,-1,977167,-1,256897,-1,-1,-1,529647,-1,-1,65379,424168,877628,-1,804048,-1,394674,592163,138291,875526,-1,-1,92268,921679,590519,-1,790645,-1,-1,539944,625924,-1,212741,-1,428709,-1,-1,111646,-1,-1,-1,768640,583169,983025,140009,847913,110587,71313,37925,-1,-1,-1,845243,-1,-1,49724,-1,507761,-1,-1,120043,938907,-1,-1,-1,-1,245738,880379,91698,-1,955978,-1,547066,-1,-1,340577,872222,707947,67293,-1,551718,-1,-1,67048,-1,-1,842461,949601,97563,25540,-1,311932,177016,782776,349861,-1,197178,567111,-1,335706,-1,-1,295044,-1,878904,-1,-1,-1,369066,-1,200604,-1,828803,-1,883992,740334,492302,442701,808198,503360,-1,846086,-1,-1,526097,-1,901692,-1,-1,727661,702776,455215,-1,-1,539227,234007,-1,159911,914782,-1,-1,398526,133316,145330,86160,-1,-1,-1,868039,-1,56484,42975,818137,-1,304948,-1,38434,-1,-1,-1,-1,-1,739198,238196,-1,441932,-1,710495,382363,-1,-1,995563,-1,-1,-1,245451,453840,718409,-1,-1,-1,731375,862920,411207,-1,-1,196561,-1,-1,817116,111752,585037,-1,886127,-1,-1,-1,737761,-1,-1,-1,-1,-1,-1,-1,-1,935032,-1,761598,229227,268457,855628,690697,69905,-1,762635,-1,-1,59189,874909,78543,173703,345896,634389,673715,-1,-1,314479,486758,-1,-1,983432,-1,-1,-1,-1,-1,-1,-1,-1,915100,428324,861421,240371,917141,542298,-1,519702,-1,318808,-1,-1,-1,30126,155448,968667,-1,-1,-1,-1,24935,283011,99882,-1,-1,-1,-1,-1,847406,-1,375398,954719,366007,257618,762677,-1,-1,-1,621555,466039,-1,-1,-1,-1,15598,-1,442304,-1,806021,-1,-1,-1,780084,-1,455642,-1,-1,-1,79765,-1,-1,-1,-1,-1,988600,-1,556360,239752,18757,-1,-1,-1,-1,725116,532812,-1,269986,-1,603031,652900,630626,-1,880542,-1,982707,599931,-1,284675,566510,581969,-1,149969,708314,237350,664100,-1,-1,-1,-1,-1,104870,315823,750781,-1,-1,939435,474720,-1,448543,-1,953908,-1,768976,-1,-1,937423,-1,602374,-1,864781,-1,-1,-1,-1,471654,877649,-1,-1,-1,363984,-1,-1,-1,811110,955473,-1,-1,-1,910713,809802,264212,-1,-1,-1,707025,-1,-1,466444,898268,-1,921580,96127,-1,125320,-1,413881,-1,-1,811387,-1,118289,-1,-1,-1,913160,-1,651959,830943,789456,632001,538031,927903,425804,-1,100615,-1,-1,-1,188575,480907,-1,-1,-1,25453,454157,571636,-1,-1,644122,117512,634560,-1,-1,-1,-1,5009,915135,247265,623353,652554,105731,-1,551431,406750,697452,822983,-1,-1,-1,-1,393573,691005,-1,-1,26686,-1,-1,-1,-1,-1,816724,686386,-1,671968,-1,338341,-1,-1,89668,-1,33338,-1,717137,831448,-1,-1,-1,-1,256465,842882,789315,-1,-1,-1,-1,797170,-1,877918,622596,866562,-1,166247,-1,38770,305488,849069,-1,842251,247489,-1,167061,263962,-1,-1,-1,431043,-1,526445,970691,-1,-1,350420,-1,-1,349460,-1,-1,863114,517616,837423,576416,954194,-1,-1,-1,692618,713511,-1,612234,-1,203193,8511,29103,81180,-1,757306,153660,520446,593150,-1,-1,647650,-1,-1,-1,841624,-1,328906,-1,-1,958734,553312,88929,-1,650922,994218,10622,-1,-1,-1,-1,201043,-1,-1,864077,897333,70539,75175,-1,-1,-1,-1,-1,123847,170614,-1,-1,914804,659771,-1,-1,59336,321853,-1,904294,-1,-1,442141,458552,-1,-1,352650,353371,680170,-1,869065,815649,419954,-1,-1,-1,366496,81385,-1,51896,-1,-1,617626,-1,-1,-1,205670,670702,-1,-1,-1,874497,-1,253324,812810,-1,-1,-1,-1,-1,349471,973227,585675,-1,880735,-1,-1,58153,706674,668511,-1,-1,-1,-1,704869,-1,643292,568849,887781,-1,836491,546601,-1,-1,-1,-1,-1,-1,-1,-1,84083,715155,-1,-1,-1,-1,-1,-1,866881,831587,558009,-1,-1,270541,934025,309418,439311,-1,-1,66222,-1,738328,-1,-1,-1,115101,-1,754141,998227,256731,-1,968379,281435,-1,-1,131746,809115,-1,-1,-1,535168,-1,-1,464333,-1,760793,21024,-1,-1,489960,591361,-1,766100,-1,-1,-1,-1,621934,622407,426852,19694,145665,-1,-1,433381,-1,-1,383857,133131,835609,793089,-1,835314,-1,-1,-1,548507,710394,-1,905230,-1,-1,-1,154694,877299,63517,562889,848951,-1,809449,768769,666726,44916,399386,13409,201432,125469,-1,-1,895928,783152,-1,899614,510857,-1,535845,454798,407373,-1,-1,892747,352411,422275,-1,972515,-1,-1,930437,-1,-1,-1,190320,-1,134633,515025,-1,446513,-1,-1,104117,-1,432379,-1,183077,-1,725128,348923,813851,-1,-1,-1,-1,-1,403735,-1,573878,-1,-1,595448,62915,471765,452846,-1,-1,61712,351094,-1,-1,-1,-1,214787,-1,130843,-1,-1,-1,818462,945000,-1,669407,-1,-1,842230,-1,-1,31880,-1,485000,437690,681612,46605,151275,133281,801062,62576,-1,-1,-1,710167,-1,332881,526407,-1,-1,-1,-1,909153,863123,-1,573621,714,992542,577498,129485,-1,-1,786039,952566,788432,18111,-1,792033,-1,11760,-1,-1,637903,929546,-1,-1,-1,308227,-1,-1,389505,-1,-1,813114,156735,-1,862291,573342,-1,-1,554805,-1,435048,851695,-1,-1,-1,79732,837077,25207,-1,74846,-1,-1,-1,-1,646593,236534,-1,-1,531832,-1,678475,-1,167310,-1,-1,-1,273202,929999,71181,-1,251793,188138,-1,-1,288291,862623,419927,939728,-1,970109,32498,20672,-1,-1,-1,59726,-1,-1,616682,-1,-1,573968,-1,-1,-1,-1,121767,-1,7573,877800,-1,-1,780659,893969,-1,-1,-1,375716,777888,-1,733834,866175,-1,-1,918519,-1,64550,-1,455841,937302,-1,18309,653212,-1,459393,134056,-1,177473,-1,688351,-1,153986,908321,916533,575943,-1,-1,-1,276446,469005,848472,-1,685258,-1,-1,-1,-1,-1,-1,-1,388080,644200,262957,895252,-1,290049,893738,854652,572480,148620,349677,-1,-1,-1,-1,487529,645162,259384,-1,707527,348099,-1,-1,-1,192860,-1,-1,-1,-1,-1,759194,-1,440790,-1,178108,-1,867964,-1,-1,80186,-1,-1,-1,-1,-1,-1,815506,841051,-1,883752,774604,555035,-1,-1,-1,-1,-1,287559,792373,-1,-1,-1,292858,746547,42087,426760,104497,521416,210543,409228,970739,-1,985847,520560,708469,448908,-1,-1,281849,-1,-1,-1,746772,439731,-1,43140,-1,-1,-1,-1,-1,895577,-1,941204,-1,-1,216508,651861,15383,611975,-1,733536,-1,458384,508288,298409,-1,827552,-1,344934,-1,-1,-1,-1,573586,98490,-1,-1,-1,926555,41091,869174,-1,-1,-1,-1,-1,-1,50219,-1,-1,482604,833002,827059,42532,581698,-1,134776,757512,972588,-1,-1,-1,532140,-1,672337,-1,761830,-1,-1,479981,-1,163567,-1,210988,675435,581208,148935,995899,463401,-1,-1,179100,-1,-1,65397,-1,-1,274962,650822,310446,-1,448122,-1,398909,-1,-1,-1,-1,37564,130936,180018,502105,248467,-1,68283,32464,-1,371921,997793,544883,-1,607614,-1,980247,819516,975166,-1,864582,-1,-1,-1,618620,-1,-1,910161,-1,157373,89298,385444,-1,977772,219694,-1,-1,-1,83309,568780,127527,-1,195546,-1,335447,-1,727604,796803,959662,-1,623079,-1,-1,933603,-1,-1,740554,684166,235324,-1,-1,-1,317003,987897,210302,-1,105957,-1,-1,-1,-1,-1,871574,-1,302536,-1,619831,216143,738622,249919,273511,-1,-1,476241,679496,-1,722875,222979,395112,787365,984132,-1,799196,-1,-1,-1,-1,-1,120321,993161,-1,181773,-1,662142,-1,556480,-1,-1,909017,-1,453803,216224,735075,259025,946485,-1,-1,-1,-1,459515,969939,658416,-1,-1,109505,903262,-1,119120,797533,367288,330609,-1,822062,-1,-1,106476,-1,583774,-1,111122,546505,320639,380100,876999,447417,821488,-1,650784,631549,-1,552795,370640,-1,209068,366852,-1,-1,85282,465766,331232,-1,-1,-1,468909,788380,-1,-1,118533,-1,937227,148075,875404,-1,196606,-1,-1,-1,147173,166603,-1,12909,-1,-1,-1,-1,-1,-1,-1,-1,190134,599116,659106,-1,-1,748932,-1,-1,-1,32246,360612,-1,-1,707766,823281,185750,792366,258144,-1,140826,-1,-1,-1,-1,287301,162421,-1,274196,-1,-1,660308,221907,-1,-1,888060,-1,-1,575164,-1,948957,-1,186939,608931,-1,516181,-1,736624,-1,485798,-1,-1,107397,919518,940656,-1,376153,-1,551440,997389,506276,550846,-1,-1,431232,67519,662260,-1,982968,60925,530108,-1,430887,-1,-1,-1,612438,-1,389147,-1,529105,-1,-1,-1,973218,915380,327753,-1,-1,-1,988364,457248,55270,-1,-1,398797,-1,766583,979736,27258,-1,-1,15146,-1,-1,-1,15026,151206,375308,-1,750685,-1,327246,36301,787788,272593,881948,848488,806352,-1,194159,212132,736679,-1,-1,-1,-1,62496,-1,-1,-1,-1,-1,959374,-1,-1,-1,-1,139577,-1,-1,-1,366179,-1,496884,-1,-1,89598,-1,-1,980232,212316,601081,335618,374157,-1,-1,945001,346398,275894,-1,-1,-1,414786,953025,-1,-1,643761,-1,284428,-1,-1,215067,735923,-1,75810,-1,991968,-1,783809,481175,-1,830614,-1,-1,-1,-1,474430,-1,-1,-1,-1,997279,895040,631749,-1,-1,-1,-1,-1,-1,-1,635881,-1,-1,-1,411044,595354,235041,-1,884798,67965,-1,729562,-1,-1,955471,540374,773951,23585,-1,-1,-1,196206,-1,-1,603826,-1,140497,984089,616719,16879,-1,94392,214636,-1,-1,-1,-1,-1,488612,-1,843386,563468,-1,44292,-1,-1,-1,-1,737355,-1,-1,-1,-1,943819,-1,622869,810491,-1,964764,-1,988421,582910,-1,-1,257762,36182,274717,-1,-1,852634,737159,-1,778668,-1,-1,-1,-1,754322,61865,-1,824214,-1,596572,348870,-1,-1,-1,-1,284295,794794,-1,916643,795073,547639,173313,25254,-1,354947,22770,-1,-1,-1,278774,-1,995676,-1,353693,-1,-1,-1,372314,965017,-1,587232,-1,-1,218312,903958,310348,-1,-1,-1,-1,787715,788931,-1,556692,244801,-1,988367,506393,-1,-1,-1,-1,316628,-1,-1,-1,-1,7179,-1,-1,692122,949960,57077,509514,932817,-1,42955,-1,677495,77038,589886,-1,957697,-1,-1,552531,341317,847769,475662,-1,688626,161435,185153,480999,-1,-1,-1,-1,-1,-1,-1,-1,-1,54488,787757,-1,909539,-1,-1,322804,-1,746509,-1,-1,680164,-1,602860,928034,-1,98266,206378,813454,72739,301862,484960,-1,-1,194598,-1,-1,40516,-1,72957,-1,-1,991115,942238,-1,-1,165827,572389,482203,-1,-1,-1,621959,360801,659557,-1,-1,-1,310679,512689,123662,946968,-1,459513,355940,351132,638949,-1,-1,-1,-1,-1,233911,407948,-1,-1,273132,-1,-1,-1,481817,-1,-1,932713,-1,-1,-1,883419,672117,-1,-1,728636,-1,519408,-1,-1,-1,601476,-1,-1,-1,317244,-1,613718,-1,-1,316687,-1,283878,-1,-1,495383,-1,-1,-1,-1,-1,392169,-1,931783,-1,-1,-1,-1,-1,-1,-1,452360,434810,-1,-1,16227,-1,543166,-1,-1,-1,705518,-1,-1,796811,-1,295902,694550,261595,-1,-1,-1,-1,386736,-1,179939,-1,890406,-1,731020,-1,-1,-1,-1,-1,-1,-1,980087,-1,-1,429070,-1,741637,188743,-1,-1,897610,320346,-1,97156,469442,-1,-1,491345,-1,-1,382746,140612,-1,-1,771511,-1,973713,-1,-1,306172,904356,-1,-1,670736,-1,443923,22457,-1,-1,-1,266134,267386,296179,349307,-1,265961,69877,547551,-1,-1,567966,469058,93477,-1,499761,-1,-1,-1,208605,402878,176770,611255,-1,-1,-1,95657,246207,-1,-1,864804,-1,-1,-1,174890,-1,271335,-1,224806,-1,610747,985693,44396,-1,-1,570658,389452,-1,-1,130834,-1,-1,-1,-1,-1,-1,-1,10561,-1,-1,-1,136219,-1,96611,-1,556820,-1,665240,456544,-1,751139,-1,-1,77799,-1,553426,-1,-1,335330,-1,-1,-1,792997,-1,-1,-1,494148,-1,231564,322691,-1,447776,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,217028,181356,990411,-1,502841,-1,-1,44213,-1,-1,530941,-1,-1,-1,765423,420336,234850,209648,747336,-1,522147,126928,-1,-1,50034,329090,-1,-1,-1,-1,-1,502013,-1,157803,-1,121478,-1,304544,-1,444728,-1,975292,376149,612611,948358,443016,-1,-1,-1,-1,-1,624289,-1,67143,-1,665038,-1,462350,427326,-1,59341,205508,-1,260125,164152,-1,-1,498159,-1,-1,-1,283532,-1,-1,-1,954583,-1,92709,-1,-1,-1,-1,-1,-1,-1,18090,-1,-1,-1,-1,-1,-1,-1,350903,784313,-1,891178,-1,-1,30701,-1,481972,812030,586975,821723,870909,-1,894229,612922,-1,135916,-1,529112,-1,-1,-1,-1,853934,-1,767795,816856,913092,318189,-1,795908,-1,-1,-1,217918,-1,-1,-1,-1,-1,792728,595423,-1,16843,891110,-1,4028,309690,-1,-1,575695,690897,-1,680836,248510,-1,-1,643146,142690,-1,-1,-1,711391,-1,-1,302213,-1,325725,-1,-1,825830,-1,788331,-1,-1,-1,-1,235860,-1,101335,-1,-1,-1,-1,-1,-1,342283,-1,499857,901204,-1,945847,32871,433305,-1,209320,667172,863017,-1,148918,-1,-1,-1,-1,-1,-1,-1,519978,853011,964200,67193,-1,910991,-1,15652,-1,-1,-1,-1,490868,640647,684098,-1,44619,687942,-1,711311,675423,-1,-1,326184,482407,769825,-1,-1,-1,-1,-1,-1,819172,-1,910746,-1,-1,619522,578206,137462,511792,-1,-1,-1,913905,416835,-1,-1,772956,672885,-1,66008,-1,325372,857515,-1,816464,-1,118175,199845,99652,796512,-1,154294,324066,588030,-1,336117,-1,470793,752023,848001,-1,-1,-1,911861,-1,626525,-1,-1,-1,-1,-1,-1,189866,875580,-1,-1,-1,375554,32009,376274,-1,800952,738808,46381,973868,-1,365932,963097,-1,896677,-1,304208,-1,882294,489974,-1,382231,534886,530489,-1,-1,-1,262423,965831,-1,730804,-1,504325,-1,252370,475840,906963,803919,103509,-1,-1,546849,-1,-1,-1,508870,-1,554709,-1,302632,897652,-1,-1,-1,-1,-1,-1,-1,-1,-1,8833,-1,775852,-1,-1,-1,201633,-1,-1,-1,-1,-1,589813,936645,1201,-1,-1,-1,576606,-1,-1,151859,-1,380718,676842,602905,392760,-1,-1,131498,369790,-1,-1,-1,-1,-1,-1,576716,-1,795285,189351,503356,-1,-1,810489,-1,256589,-1,929594,-1,588165,161283,821354,-1,-1,-1,786104,-1,-1,402240,-1,-1,460659,-1,-1,914811,228977,259977,-1,456180,-1,-1,217256,-1,572431,-1,-1,-1,-1,332245,-1,-1,445731,124186,-1,859286,-1,-1,-1,-1,601661,469799,315991,31280,723385,450957,-1,-1,-1,573786,-1,-1,-1,-1,878288,-1,369434,-1,-1,19516,682990,939278,-1,968845,-1,805787,-1,644301,551165,974679,281269,433025,468786,-1,346698,14192,508440,119914,-1,742694,129123,-1,-1,-1,-1,-1,-1,854273,448304,902694,-1,42215,-1,365235,942725,165896,84733,345508,-1,574938,351001,918096,162952,293628,-1,619215,885894,913151,-1,-1,423801,-1,488996,350056,432692,-1,-1,-1,-1,-1,189667,935724,-1,-1,-1,138056,-1,301226,467686,904902,-1,-1,-1,-1,529853,-1,77169,-1,-1,-1,-1,-1,-1,-1,-1,594182,-1,241863,75704,-1,-1,-1,983970,131293,788347,-1,604839,420358,-1,216671,838763,193402,866783,781530,580472,595786,-1,-1,89526,117223,-1,-1,290815,-1,-1,-1,11362,631614,-1,-1,-1,-1,781747,-1,-1,203061,94646,328833,12958,33839,867129,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,685902,-1,703091,240395,-1,155475,-1,330265,248090,989166,-1,496369,-1,-1,1560,-1,-1,-1,699383,-1,294077,-1,-1,364076,-1,-1,-1,-1,-1,-1,124718,899299,-1,32766,-1,912243,609765,-1,-1,-1,560339,604153,549039,-1,638689,-1,-1,-1,-1,38427,350339,259659,-1,-1,-1,516744,-1,-1,-1,479551,-1,-1,785285,-1,-1,726939,602310,-1,805318,923773,357557,336527,495054,208231,217064,-1,40166,-1,-1,462368,-1,-1,671614,232484,-1,157698,-1,-1,708513,-1,752334,-1,369057,-1,823313,397645,477173,122822,439780,22853,588629,970059,364380,936119,-1,-1,568784,532062,-1,-1,768334,817469,986374,595330,191658,343064,-1,721135,295094,233404,833442,-1,-1,-1,84902,-1,-1,209865,964215,309543,-1,282376,351951,-1,-1,-1,-1,-1,-1,-1,511629,515274,525227,-1,-1,-1,770904,-1,175270,50677,-1,-1,-1,-1,-1,690624,187458,672292,656624,980356,515300,104244,402853,-1,-1,670180,636958,-1,858365,-1,-1,260326,702256,478031,-1,272608,-1,703646,319750,-1,79821,612249,-1,-1,-1,-1,-1,-1,-1,-1,902479,-1,-1,-1,-1,-1,798517,-1,179119,-1,-1,551794,-1,-1,-1,277142,-1,859107,734327,494813,-1,-1,-1,-1,-1,463075,-1,-1,-1,-1,-1,-1,223189,909888,-1,233272,-1,613448,-1,-1,443620,405889,-1,7633,-1,-1,900303,864583,808409,-1,438583,-1,695763,685691,249214,-1,353364,-1,163989,553879,972497,-1,-1,72293,-1,995100,405792,205896,155645,-1,534671,-1,-1,15001,316678,79763,10572,454779,777162,-1,-1,-1,523822,-1,-1,-1,150582,-1,-1,827880,-1,151263,-1,-1,907040,6988,287606,997727,-1,899984,-1,534250,-1,-1,-1,935225,198761,771115,227670,297056,339232,-1,513997,889611,-1,315939,-1,-1,610538,-1,883204,150476,-1,-1,851215,-1,465432,-1,297430,226316,-1,920838,551954,391399,777358,-1,190886,-1,-1,-1,880512,-1,-1,590035,907069,405416,-1,-1,-1,-1,421990,-1,950049,-1,-1,-1,-1,-1,739595,-1,110955,477263,-1,-1,-1,-1,799746,-1,-1,-1,-1,764424,361647,951935,-1,-1,-1,274665,434819,-1,195807,-1,958257,528852,699839,387548,6327,-1,-1,-1,-1,-1,-1,-1,-1,-1,52267,-1,461429,40460,180297,-1,-1,-1,-1,-1,-1,915221,26467,477661,339358,-1,-1,117364,143735,-1,505700,-1,-1,622104,861653,-1,874295,-1,-1,-1,-1,-1,237587,-1,795608,-1,-1,-1,-1,-1,602769,-1,940216,-1,-1,860430,137347,-1,-1,295596,-1,-1,-1,739413,-1,-1,-1,-1,-1,88489,782053,-1,-1,6467,830138,-1,-1,-1,34149,-1,532218,941513,227018,-1,-1,-1,167321,-1,580275,-1,759735,-1,-1,136811,-1,370017,-1,-1,-1,653211,181833,560836,-1,550428,-1,-1,-1,8116,4763,666153,-1,940792,444420,396818,615134,-1,-1,-1,-1,374009,212860,455163,-1,368989,-1,-1,757337,269044,-1,-1,731083,778609,-1,-1,-1,844831,568664,-1,-1,-1,821475,148068,594,22059,-1,695847,-1,-1,-1,-1,564844,-1,-1,-1,414922,383475,558284,299019,254798,-1,-1,198348,236761,-1,-1,641628,148487,413360,570560,409326,536164,294893,94790,683322,141635,511191,447102,597458,399458,-1,-1,799573,-1,-1,508846,360534,624951,-1,87071,257474,-1,-1,184254,287950,886064,-1,320761,-1,738449,-1,-1,907395,-1,135929,-1,505238,-1,-1,86616,-1,662795,-1,-1,-1,612595,448652,757173,-1,209358,-1,57651,23699,-1,128845,985147,433363,149606,-1,-1,782817,710388,-1,382576,-1,118111,931018,-1,79222,446831,-1,-1,987711,-1,-1,80837,951995,536258,771421,663685,785536,738733,-1,435952,-1,748459,-1,173795,654732,-1,-1,514033,-1,158305,-1,29060,-1,804030,340950,543702,902399,-1,940529,695936,-1,785298,879976,-1,653451,-1,808144,714156,493167,663506,-1,834267,-1,27430,458297,934235,-1,-1,-1,355237,925712,-1,171896,-1,704304,-1,-1,-1,848958,-1,792186,-1,-1,87814,292131,-1,-1,209315,529343,287673,914253,-1,587703,-1,218411,637890,-1,-1,-1,637313,322616,-1,634305,272807,-1,491192,-1,-1,-1,-1,-1,686205,-1,-1,168715,-1,817353,-1,-1,816876,-1,981153,-1,-1,844890,914347,843298,681724,282059,-1,-1,-1,523158,-1,-1,418393,-1,183773,693202,-1,591991,-1,212881,628403,962969,795559,471226,-1,-1,590730,-1,109998,-1,-1,-1,-1,377633,-1,445377,317845,-1,-1,312120,754012,-1,-1,582978,-1,230066,31845,-1,627733,-1,-1,-1,-1,581159,64721,-1,378146,-1,996786,424356,-1,-1,-1,-1,-1,-1,-1,-1,506493,-1,491579,415892,-1,-1,564429,103877,-1,-1,877537,798616,-1,314054,-1,-1,-1,-1,-1,439141,-1,247789,681775,151757,247446,-1,-1,726602,-1,-1,-1,-1,-1,423722,266174,-1,-1,72915,828836,492340,-1,-1,620750,919551,146920,352923,-1,-1,277662,774434,941134,543881,418323,965820,144871,-1,-1,315522,-1,959157,192436,-1,943592,566174,-1,753318,636915,-1,-1,910869,181803,2375,854999,-1,-1,795244,180472,-1,-1,657210,258024,712727,218081,-1,-1,661398,474590,-1,-1,-1,-1,-1,-1,110004,-1,-1,-1,-1,-1,-1,-1,778824,987589,725952,-1,633945,-1,-1,-1,562503,519528,236135,-1,-1,-1,-1,-1,-1,-1,712060,-1,-1,424252,170040,-1,-1,387541,-1,-1,-1,-1,-1,-1,888656,20169,579489,-1,-1,403199,995673,43010,-1,447622,872756,10917,-1,926854,806932,338722,897735,-1,-1,-1,-1,-1,159179,778909,-1,856063,456922,-1,500176,791040,349776,908723,-1,358487,-1,-1,139257,-1,590721,-1,857004,596399,867128,-1,907404,-1,-1,939288,141338,-1,-1,-1,680100,-1,778945,-1,378297,81312,315859,-1,680144,-1,-1,-1,-1,377635,-1,-1,-1,241469,-1,560283,639918,88381,567455,-1,615556,533858,-1,122448,-1,765614,538357,-1,-1,678017,-1,617604,-1,-1,-1,-1,754359,-1,454260,652276,-1,14296,-1,-1,-1,-1,-1,755233,-1,330575,-1,-1,471645,638444,660350,690068,747111,321672,-1,466031,439345,-1,42880,572474,920124,9214,293024,180066,-1,120194,19631,384636,-1,629378,974418,326906,725317,-1,553617,547213,42029,-1,-1,311544,-1,265583,-1,-1,-1,579623,527806,-1,-1,135520,285541,-1,-1,554784,382437,252252,-1,24662,882445,705031,299398,-1,363723,-1,892948,-1,361870,355111,-1,141226,-1,26558,-1,-1,889795,407112,968340,-1,-1,241981,-1,-1,-1,186134,-1,-1,-1,-1,697742,-1,-1,-1,-1,-1,809229,-1,472419,296673,-1,-1,995439,-1,843983,-1,-1,-1,-1,401302,-1,-1,-1,-1,-1,-1,900917,960793,504668,-1,216051,-1,-1,-1,879577,786082,-1,-1,90416,-1,719598,-1,667975,362613,-1,-1,940441,-1,331596,-1,140456,872696,-1,7005,545702,-1,-1,93469,742627,453839,-1,-1,-1,-1,-1,978752,90203,-1,-1,-1,194648,-1,315300,526871,33014,817687,-1,-1,-1,285792,-1,-1,-1,628942,446191,929243,-1,-1,333505,524314,-1,657598,-1,-1,-1,737959,420153,-1,-1,752260,-1,-1,-1,-1,-1,226163,-1,160438,-1,-1,515804,402531,-1,-1,-1,-1,654620,992271,-1,440886,141247,696425,464998,891365,-1,-1,227739,-1,193837,658020,182615,74510,901251,596518,430392,-1,85815,-1,900763,835228,-1,-1,363826,-1,-1,691368,863666,-1,-1,396597,-1,-1,-1,-1,943108,-1,-1,-1,-1,280471,-1,-1,-1,247144,-1,-1,-1,980482,-1,701856,-1,802437,-1,84296,-1,-1,-1,-1,778090,-1,170458,18771,-1,-1,378479,-1,-1,625563,-1,-1,288951,35861,-1,-1,877690,-1,-1,-1,-1,-1,-1,566020,938584,889436,-1,643806,-1,-1,-1,-1,390466,-1,-1,-1,-1,-1,-1,-1,-1,178421,-1,-1,23117,21676,-1,206998,548282,755141,-1,509911,-1,-1,-1,551592,146981,625764,262540,-1,-1,157958,100037,735527,-1,631902,232656,240355,-1,589026,-1,-1,561751,483056,-1,967523,-1,-1,-1,994152,-1,353366,-1,139013,342702,-1,-1,-1,797864,-1,-1,-1,785279,965673,472968,42891,-1,431223,-1,-1,-1,675092,193798,-1,-1,866870,-1,129804,987994,-1,-1,596854,86501,-1,829014,-1,348993,47719,-1,-1,593353,560462,508420,-1,771856,470027,-1,-1,-1,-1,-1,111768,776052,-1,900437,72100,76246,-1,363336,676134,-1,941333,-1,-1,335461,278850,142857,510179,-1,119957,937491,885543,939927,-1,-1,-1,366642,698357,-1,-1,586797,-1,-1,772127,-1,-1,-1,-1,-1,861893,932773,161286,633171,-1,-1,-1,878145,249278,936911,288972,207602,-1,-1,571492,-1,-1,-1,226176,-1,491595,-1,200415,-1,415691,-1,-1,-1,287062,475464,-1,-1,162153,701692,606375,361735,75737,-1,493340,456368,-1,356268,887331,-1,705302,-1,366511,714180,-1,796308,512517,-1,-1,-1,96539,652691,599614,-1,-1,-1,-1,-1,9275,342049,-1,354981,443834,-1,-1,297791,242301,833266,-1,268132,256063,179846,-1,-1,96354,-1,-1,-1,-1,-1,-1,-1,537444,866129,-1,441456,-1,780502,-1,80824,211516,-1,-1,423085,231554,294179,884809,45899,-1,-1,402748,920748,62326,934222,728980,-1,-1,992939,385873,-1,430964,572587,-1,592049,996281,848380,-1,-1,-1,588052,224645,532593,421951,-1,-1,-1,56578,-1,-1,-1,-1,-1,-1,890201,-1,650607,-1,227059,-1,417504,-1,249617,-1,-1,-1,-1,-1,206227,-1,268475,-1,219044,-1,521901,281309,445449,974421,264429,462477,771259,-1,289938,-1,166503,572646,-1,793402,119643,-1,-1,-1,976771,-1,523223,-1,42448,-1,899852,56179,-1,73365,599966,-1,-1,865622,21260,180428,115881,-1,-1,-1,-1,-1,-1,-1,262130,-1,-1,-1,543096,489839,119286,-1,621179,918102,623048,800373,65820,184998,-1,384649,115744,953522,44757,222275,734115,-1,-1,-1,953706,-1,-1,-1,-1,-1,-1,287863,352153,404923,-1,802430,-1,995753,-1,958393,-1,-1,306557,-1,384961,-1,-1,415062,682860,639125,528333,39021,-1,714821,694604,377248,482248,410630,771353,-1,-1,-1,976091,464780,-1,-1,278531,570910,133818,792902,967734,-1,-1,139470,-1,134595,200999,-1,-1,964904,922019,-1,-1,657264,918828,130574,-1,-1,151667,-1,990660,286067,19476,905504,-1,979459,819419,143108,859729,-1,772258,-1,356773,534076,-1,233584,-1,-1,844232,-1,585873,-1,804,494772,-1,603703,-1,-1,-1,242086,813729,-1,763455,-1,-1,-1,698946,808652,-1,432892,93664,524830,-1,-1,-1,-1,-1,-1,380191,-1,20817,380209,837814,286298,-1,-1,-1,556254,889697,459847,216814,-1,-1,898564,-1,-1,736355,988082,-1,-1,339730,425503,-1,837186,985140,-1,-1,946770,758332,-1,-1,-1,156074,-1,-1,-1,-1,-1,311904,-1,-1,-1,705936,-1,-1,625779,-1,-1,-1,-1,-1,838524,-1,-1,833873,-1,912493,-1,-1,-1,268459,-1,-1,399881,-1,-1,-1,-1,-1,409569,41676,-1,-1,303073,-1,332904,265475,-1,912035,634980,-1,-1,-1,709851,-1,106388,-1,113186,120970,-1,649833,-1,814518,478945,276329,-1,-1,-1,486225,-1,62537,875066,-1,-1,-1,-1,906812,519211,-1,-1,-1,-1,978837,-1,198028,-1,-1,680422,55555,-1,622163,-1,483931,-1,998983,323048,863718,-1,693363,143752,833182,643730,-1,584817,-1,134962,-1,464891,656120,370868,-1,563387,957499,-1,-1,357974,-1,-1,360737,-1,-1,596421,-1,887296,-1,-1,801733,221362,886298,-1,627332,807797,-1,173810,-1,-1,57674,589594,-1,914906,295958,-1,113424,-1,589468,-1,801462,-1,-1,-1,84303,5960,-1,665325,568206,56959,-1,-1,-1,-1,-1,381618,590409,-1,712575,-1,-1,417343,-1,-1,851246,475533,286668,-1,-1,626127,224880,-1,835621,926697,-1,580978,472797,22145,-1,860115,-1,713395,-1,-1,-1,-1,-1,553328,478555,-1,-1,341010,929228,-1,-1,-1,770905,-1,-1,-1,-1,849249,654118,503844,-1,387693,-1,340086,374759,-1,-1,27556,-1,984922,-1,561035,493765,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,657161,361835,-1,478633,-1,-1,248189,-1,139730,696761,436360,925635,243633,406909,-1,783978,-1,-1,525260,-1,-1,84827,370024,-1,862247,-1,993801,952198,338016,-1,-1,-1,187806,-1,-1,230511,-1,-1,45863,958553,459079,-1,-1,982976,-1,940551,-1,256025,-1,985288,432658,398910,-1,-1,-1,398001,-1,776637,-1,944473,921644,559152,-1,-1,650312,-1,877021,-1,-1,892917,-1,878801,-1,844217,-1,-1,287818,151862,-1,-1,338457,-1,-1,-1,769411,-1,-1,794146,416319,943171,150331,923156,-1,-1,579098,563480,-1,-1,622191,-1,658626,751394,936100,-1,707611,-1,-1,-1,-1,-1,133194,484591,-1,857992,685285,-1,354891,581332,-1,-1,-1,502739,-1,700825,-1,-1,-1,654521,-1,632854,-1,605933,597027,-1,22619,-1,-1,716523,311828,327745,-1,868528,871813,332729,-1,443075,-1,191088,895802,275160,-1,-1,-1,359077,-1,-1,893979,-1,-1,-1,-1,220151,-1,-1,-1,-1,-1,55609,913189,341286,-1,-1,-1,-1,-1,339527,543376,-1,813922,451874,572702,-1,-1,701045,494506,-1,971917,85886,-1,40352,-1,24523,953782,798262,139020,954890,-1,856121,7015,-1,95929,161680,447732,-1,-1,165014,400079,-1,-1,155264,392947,193933,431367,-1,846876,980605,-1,-1,-1,-1,156302,-1,613462,-1,-1,476202,996918,80605,513952,747062,418105,54607,-1,474413,801233,-1,-1,658052,-1,-1,782447,-1,66637,-1,-1,-1,557536,-1,866946,-1,42189,677690,459403,663039,458987,-1,-1,579488,-1,-1,873744,628323,766238,-1,-1,845521,296856,529286,473579,123037,-1,113918,588524,709440,-1,23901,857516,-1,-1,-1,-1,220382,-1,-1,690471,-1,429363,389918,-1,358481,-1,78110,-1,527630,-1,-1,-1,-1,861702,397256,-1,-1,-1,347718,-1,-1,-1,779509,472372,719536,181331,640247,374219,467486,-1,-1,-1,121337,-1,605031,-1,-1,-1,424904,-1,538716,8458,-1,917450,69832,-1,-1,-1,452054,2572,274080,-1,-1,-1,-1,158791,851280,-1,-1,791878,-1,-1,-1,-1,129515,499343,947268,610303,-1,-1,-1,542016,-1,-1,-1,-1,-1,604899,140455,408542,-1,-1,-1,-1,-1,-1,-1,28105,-1,759964,-1,-1,655138,379608,149321,-1,194708,-1,858870,-1,608063,-1,707198,393879,-1,-1,-1,70364,91646,-1,698482,-1,-1,431836,-1,-1,-1,364820,383564,-1,-1,-1,929847,-1,24985,805129,-1,-1,407837,293649,-1,967325,88627,865029,-1,128715,-1,-1,-1,910760,-1,858047,-1,923623,-1,-1,-1,-1,947058,777568,-1,988284,-1,-1,724285,-1,729800,300948,-1,431856,56743,-1,138930,960638,-1,-1,611869,-1,-1,783111,-1,510698,888802,639939,450630,123120,-1,901950,468084,-1,-1,-1,-1,910604,731801,-1,436830,75642,990963,542914,-1,401234,-1,-1,-1,586671,796880,550820,193962,135917,443665,134955,932814,-1,-1,656308,-1,462073,40495,-1,-1,-1,-1,-1,89106,550885,825976,-1,769821,-1,118662,157516,387649,829371,-1,-1,380555,-1,-1,965910,695501,262336,-1,-1,-1,953052,-1,375878,-1,-1,591558,-1,280071,9307,-1,709235,-1,48065,617862,237830,-1,282369,-1,-1,598980,-1,362281,837702,-1,802580,178998,-1,-1,-1,-1,390082,628309,891942,-1,529029,257556,687443,-1,408237,390196,457696,-1,811545,-1,500049,-1,-1,-1,528393,-1,-1,-1,-1,-1,113180,693116,259564,-1,-1,-1,664227,-1,779371,-1,-1,-1,-1,-1,-1,-1,-1,-1,500401,-1,378836,60457,884372,-1,312141,-1,-1,849136,-1,747934,51176,746826,-1,-1,958125,900203,588427,149672,-1,778978,-1,-1,720404,-1,-1,511392,376572,-1,-1,-1,698977,515347,-1,-1,-1,-1,500880,-1,969535,-1,329516,-1,495715,-1,-1,17992,-1,12763,-1,-1,823267,208307,-1,-1,558779,-1,28091,502006,891983,361679,-1,-1,67224,107398,998578,-1,-1,374419,-1,-1,201540,293477,-1,191438,503164,602362,-1,875617,381176,586312,-1,77501,811379,58644,-1,584856,890223,-1,655338,1932,-1,164497,891445,380146,-1,219798,15716,-1,18799,772147,54981,-1,-1,-1,-1,223493,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,809059,-1,645215,152189,426570,32910,-1,-1,301734,-1,-1,-1,-1,-1,292663,-1,-1,767196,798190,-1,269447,443197,-1,-1,772116,140989,-1,269445,-1,-1,819441,355986,583425,356161,40875,790557,428747,375865,-1,990284,-1,976936,-1,-1,-1,-1,-1,-1,-1,890737,-1,-1,977156,426037,824888,-1,991141,-1,496667,-1,-1,168036,-1,-1,5164,-1,-1,44254,-1,410736,948188,331103,-1,57545,908125,-1,541333,-1,-1,-1,807224,-1,-1,5461,-1,-1,19211,-1,649886,638193,-1,886907,-1,896465,-1,572503,-1,-1,-1,461066,691805,911557,958750,883529,-1,-1,-1,708992,850695,561342,694983,-1,416935,-1,-1,-1,-1,898165,-1,994747,-1,-1,331895,671512,-1,327451,420334,-1,-1,-1,-1,-1,-1,-1,45730,833251,-1,220309,-1,-1,577272,962072,-1,-1,-1,-1,27654,542924,-1,-1,571011,841530,508442,199920,-1,464397,-1,848101,-1,-1,639592,-1,-1,-1,-1,-1,-1,-1,976546,657557,-1,297798,67180,139752,-1,325620,-1,-1,-1,-1,960090,-1,4040,820341,-1,285096,420201,431834,-1,9938,103844,-1,-1,381279,-1,-1,-1,499231,-1,-1,-1,-1,-1,-1,398758,420260,650571,-1,551778,656378,-1,30350,-1,-1,-1,-1,516406,-1,135725,534345,741707,-1,-1,440193,195963,576952,-1,585722,303449,369819,993903,144189,-1,-1,92189,691222,-1,307828,368660,-1,297811,64785,-1,300323,559491,-1,-1,-1,-1,408396,-1,380607,-1,-1,495173,-1,237209,508217,-1,940305,-1,574919,662191,800780,-1,923067,554509,250997,8956,-1,-1,303935,810783,-1,-1,-1,300203,917214,-1,-1,-1,11847,-1,685887,110462,-1,-1,67128,-1,-1,-1,-1,-1,-1,505838,-1,-1,41044,368539,-1,-1,-1,-1,-1,-1,-1,-1,728536,-1,824338,302747,273904,-1,-1,-1,194107,428924,-1,-1,-1,275258,-1,-1,204355,-1,-1,322194,904219,270511,864032,924307,622746,353411,750775,693996,-1,862509,-1,638968,-1,-1,424599,65179,375766,-1,-1,334704,402887,-1,-1,-1,-1,-1,893056,109706,199685,-1,-1,128213,-1,849725,-1,129098,-1,424330,-1,328171,507869,-1,40704,-1,952458,-1,-1,-1,164093,885729,937038,712791,889973,685005,-1,-1,524119,-1,115437,-1,594375,-1,-1,628900,-1,-1,-1,100087,-1,876172,-1,-1,683001,-1,-1,777827,410619,598330,-1,-1,-1,-1,189303,99304,717263,144755,479401,-1,-1,861037,271029,-1,422605,310564,-1,438467,65662,-1,-1,-1,-1,-1,-1,-1,513384,-1,-1,144191,726255,-1,-1,914153,859886,893282,508597,-1,322878,-1,-1,-1,-1,-1,53394,-1,-1,405417,111634,542148,-1,-1,-1,181144,306268,274335,418132,800230,640055,-1,-1,859928,472978,481591,-1,558070,94209,7668,886210,-1,-1,-1,999139,616269,-1,-1,214055,293962,-1,-1,255789,-1,826657,-1,-1,734347,-1,-1,-1,834293,647771,886502,-1,-1,-1,309931,-1,139793,130114,-1,-1,-1,689769,-1,312622,-1,496070,97260,895096,-1,-1,-1,395642,-1,-1,687209,-1,656874,-1,143433,622835,-1,346941,-1,-1,405986,-1,856660,-1,-1,261993,-1,758254,347291,-1,101826,-1,-1,354026,526872,740726,940432,267819,191619,947150,467867,-1,-1,-1,716765,676138,-1,896780,-1,-1,750720,818929,-1,-1,-1,775146,791481,-1,-1,-1,854792,-1,-1,-1,860622,34811,-1,-1,532467,360073,-1,-1,-1,589992,-1,-1,-1,575416,-1,-1,814929,-1,-1,685253,-1,293279,-1,-1,299828,-1,-1,-1,-1,-1,827831,424620,436166,-1,-1,794709,143601,623649,-1,408826,-1,50985,-1,-1,579369,-1,488428,637826,-1,711066,792301,540762,436878,-1,205977,-1,369067,530879,216931,654397,-1,-1,-1,87568,-1,-1,-1,482911,608506,-1,609050,-1,985628,994517,884040,364883,-1,755210,-1,-1,787523,616209,490404,333631,16344,-1,39708,975007,-1,882182,341972,-1,155781,-1,-1,-1,224915,-1,847546,-1,393726,-1,-1,-1,584503,237352,491636,816512,-1,-1,-1,-1,545178,690812,984680,607224,-1,414011,47827,910185,327392,-1,-1,489677,-1,994895,318976,-1,787621,500996,366165,-1,756161,599889,-1,-1,99986,688491,-1,-1,932977,259059,-1,-1,-1,536100,87625,-1,511600,-1,-1,450593,-1,-1,900147,-1,-1,-1,-1,497403,797514,3948,-1,-1,14142,303906,-1,-1,-1,-1,667315,-1,296832,-1,-1,143572,-1,909789,-1,-1,-1,355145,-1,-1,-1,-1,-1,798551,199682,-1,-1,-1,862833,-1,884428,-1,-1,-1,-1,518448,-1,409655,-1,-1,-1,658673,-1,614345,-1,727461,952063,87491,175049,710908,-1,-1,-1,951711,-1,533797,-1,-1,-1,195601,989981,612105,483292,234778,-1,296100,170937,781777,226767,-1,-1,-1,420851,-1,850429,806285,-1,800975,658189,647711,477653,570776,207330,198104,722969,-1,-1,287815,-1,725895,-1,-1,-1,-1,722863,962902,-1,-1,258869,498048,-1,273299,40184,327729,-1,317172,614352,-1,550039,-1,692197,-1,380902,416937,165138,-1,-1,236591,643617,-1,-1,-1,950337,47459,-1,547550,-1,635946,981380,480375,275278,620694,307992,-1,-1,190077,-1,620993,-1,185991,163367,-1,569142,-1,320573,354983,271815,-1,-1,-1,-1,130783,-1,995871,905249,595188,351312,578368,-1,-1,683487,-1,-1,688423,-1,134383,-1,256095,-1,607286,367461,767434,-1,-1,853610,-1,652116,847297,583762,-1,229535,104883,-1,475055,874865,-1,-1,491693,469040,-1,4241,-1,984094,967683,342488,-1,-1,-1,-1,255715,534809,210447,584224,-1,520628,-1,-1,846548,-1,-1,212028,-1,-1,-1,949027,-1,-1,419015,158798,825138,-1,-1,267987,466481,507475,987773,-1,-1,297482,571884,850846,-1,-1,-1,-1,957789,35967,-1,920513,869379,270578,506116,-1,482097,669403,-1,336953,-1,-1,446049,-1,878133,908061,-1,-1,157586,464810,-1,665558,-1,661506,73772,-1,702255,476552,-1,318765,-1,-1,703298,649149,-1,876851,520599,703740,543687,158265,-1,541865,-1,657457,-1,829340,-1,407394,774388,-1,704211,-1,374669,-1,305422,-1,-1,-1,-1,-1,950715,-1,-1,-1,350892,-1,-1,374183,711510,2635,-1,564686,628467,-1,-1,434114,-1,-1,-1,363245,-1,96129,-1,553525,-1,-1,496676,-1,149802,-1,324537,-1,-1,-1,-1,-1,-1,-1,30317,-1,189816,419165,-1,784584,-1,999076,-1,-1,305800,826116,-1,833941,-1,-1,-1,-1,-1,356844,909791,37922,51004,453082,362309,540657,-1,-1,888323,810976,-1,465310,709519,655620,-1,957935,-1,717167,-1,-1,94356,-1,176859,675737,-1,-1,-1,867922,-1,682590,-1,470858,586048,299372,579944,-1,398799,-1,-1,365928,-1,568778,20931,-1,406753,-1,127956,637092,606294,-1,-1,975682,160865,-1,132035,306596,570024,109229,442136,76681,484074,-1,-1,-1,-1,-1,471191,-1,993911,93855,-1,53092,195170,552287,659959,739417,83712,-1,-1,450893,933159,600489,-1,-1,-1,-1,421470,436272,14829,-1,-1,118390,-1,-1,928662,324460,-1,-1,28800,-1,-1,637418,708893,735503,860775,-1,-1,-1,452194,835737,692373,-1,520058,-1,70181,-1,431699,68326,-1,-1,-1,673478,944035,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,236679,42676,-1,-1,-1,-1,297025,-1,59630,-1,-1,-1,-1,592488,-1,534248,956567,-1,-1,-1,-1,914212,949689,-1,265210,-1,529727,-1,500765,-1,-1,-1,787889,-1,-1,185549,-1,-1,-1,-1,796878,795555,-1,492542,585777,-1,5656,896788,-1,95765,-1,393166,-1,-1,-1,-1,160268,451877,-1,742817,636382,-1,376230,-1,-1,878405,-1,981489,541465,814370,-1,-1,-1,-1,-1,654102,428229,-1,-1,-1,-1,528904,88665,173544,-1,-1,-1,-1,-1,-1,372658,450293,-1,-1,-1,-1,709220,-1,801455,648328,-1,999587,642164,361623,-1,494371,-1,779297,-1,413772,-1,519358,103560,743724,365681,-1,445201,973155,869290,773126,375624,-1,441278,-1,-1,-1,-1,555944,-1,-1,934401,942697,-1,-1,-1,-1,305573,-1,844507,23472,-1,-1,-1,-1,-1,-1,-1,-1,691780,519431,646882,-1,-1,-1,-1,426169,-1,-1,131986,-1,269090,-1,-1,-1,-1,-1,-1,254286,491145,527549,409710,198704,-1,-1,-1,410856,498208,680657,460978,807375,-1,-1,414158,-1,19331,-1,303585,-1,472669,562866,45209,150186,940423,171614,-1,-1,-1,-1,-1,-1,256952,39743,577846,838482,-1,733822,-1,171266,-1,8811,-1,178833,-1,731353,-1,-1,-1,835692,233000,-1,407563,438791,-1,-1,594104,-1,-1,859669,-1,98091,522433,6274,-1,506506,-1,-1,533316,665408,232601,-1,322493,402813,-1,698269,928892,951954,36241,-1,-1,602840,-1,-1,-1,-1,-1,-1,825604,-1,-1,-1,-1,-1,-1,-1,-1,372628,-1,-1,457115,249836,483068,-1,874301,74272,-1,423491,-1,277749,-1,-1,-1,744967,582650,971359,411773,-1,-1,-1,660606,-1,662329,700035,836757,-1,575819,603262,-1,928775,-1,-1,26485,-1,567035,49147,910696,-1,577035,940661,-1,220366,-1,-1,-1,969496,435565,399668,736696,-1,-1,204434,294536,-1,-1,58492,-1,-1,-1,-1,528459,-1,57155,-1,-1,-1,-1,622374,-1,987762,797087,83342,485556,-1,-1,-1,85421,-1,933288,-1,628383,25063,-1,659317,-1,-1,236166,-1,-1,894968,532835,-1,887484,229982,277908,-1,-1,-1,193567,374581,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,562214,466005,-1,-1,-1,343751,-1,896915,-1,506630,-1,-1,782764,402676,791129,273591,355799,-1,-1,842312,-1,-1,846318,-1,665754,-1,-1,695157,335264,270772,349412,301398,-1,40527,322344,-1,-1,553128,258212,-1,589733,985799,979893,-1,359096,869235,80342,511398,422184,766359,72868,-1,-1,-1,256812,293640,67305,-1,-1,378930,967930,-1,747333,-1,250495,693598,-1,-1,665438,-1,-1,400659,-1,-1,-1,845318,-1,-1,341734,508888,674491,-1,-1,558583,916229,298128,947017,-1,729235,-1,882221,-1,155015,-1,-1,770283,589131,805903,-1,75267,-1,-1,-1,521502,426250,-1,-1,632276,-1,-1,156003,-1,-1,-1,-1,446962,812246,-1,-1,-1,-1,-1,-1,-1,-1,993744,-1,301002,992298,-1,-1,452848,-1,679466,-1,10582,257152,879085,900704,-1,194496,211500,398045,433591,338391,-1,-1,-1,-1,381182,362912,-1,59325,90189,724494,-1,-1,871391,-1,908600,274515,-1,483758,-1,-1,-1,-1,-1,245078,756106,-1,422584,101717,-1,-1,312569,880557,483453,-1,297223,79341,583843,-1,-1,473918,114944,-1,-1,-1,520457,-1,-1,-1,-1,88870,-1,700534,-1,465719,-1,631680,-1,-1,-1,-1,576929,145750,-1,510961,442261,-1,-1,-1,-1,-1,327337,25283,154036,-1,730756,692630,-1,-1,356424,259781,320384,-1,-1,-1,915754,283152,-1,611500,869279,-1,320082,468132,-1,-1,161986,-1,-1,991825,466175,-1,278348,-1,495809,492290,-1,-1,-1,-1,-1,321557,-1,-1,39288,922827,-1,-1,106543,-1,68637,427834,-1,813432,784280,-1,-1,-1,-1,-1,27758,-1,90819,82976,-1,994118,-1,-1,575231,-1,-1,-1,-1,478686,419489,-1,-1,-1,-1,150699,731216,495622,474908,159686,452251,-1,378487,185038,282769,-1,-1,198082,633025,-1,-1,-1,-1,-1,-1,4408,-1,5561,151038,-1,331942,-1,795992,-1,743573,757123,-1,-1,909553,689870,-1,-1,-1,59818,-1,400576,-1,-1,293732,-1,697725,-1,-1,956979,330099,352994,711907,-1,721806,129156,-1,843182,381754,862174,741903,-1,-1,988247,-1,595200,-1,-1,-1,-1,746216,86465,-1,611750,952171,-1,753311,860862,-1,473742,-1,954110,-1,-1,-1,130195,141602,331013,222607,-1,621831,182028,933487,493938,-1,243675,484342,-1,-1,-1,-1,-1,-1,-1,-1,564366,-1,-1,577301,283235,-1,-1,121501,-1,478275,-1,-1,-1,362371,-1,-1,631731,-1,-1,140467,309254,-1,-1,-1,-1,35198,654932,-1,598691,660042,-1,-1,202019,801791,-1,952367,875565,-1,718467,-1,207964,-1,-1,910281,-1,264167,-1,431705,-1,163272,-1,-1,-1,511273,649421,624460,-1,-1,38053,-1,-1,-1,-1,398325,407469,536245,617241,-1,-1,22914,-1,784999,-1,-1,987785,757320,-1,-1,576304,-1,77561,-1,-1,-1,636641,771359,-1,-1,727468,16669,716706,-1,864568,-1,69754,-1,-1,227159,684397,-1,-1,-1,957300,-1,495405,-1,991749,-1,870837,248300,-1,432590,-1,918498,380785,393011,601880,-1,-1,-1,-1,-1,911541,508423,584015,594966,-1,208286,973058,512977,-1,-1,841161,270853,620587,-1,454491,-1,651900,304493,864002,631106,-1,604216,-1,505912,485045,-1,-1,-1,-1,-1,918189,-1,-1,-1,912034,843399,-1,841294,389087,707197,-1,691871,653997,120221,285896,-1,863333,410276,-1,4743,-1,633403,-1,-1,-1,235995,492776,607854,-1,-1,815909,777147,633725,-1,-1,501916,-1,111554,424669,-1,-1,737234,849432,597258,551917,-1,-1,236707,-1,-1,846839,166222,964796,-1,-1,418294,23046,-1,934334,150830,-1,-1,37811,-1,-1,-1,130077,407106,-1,621170,-1,-1,491657,518953,21156,-1,-1,-1,-1,-1,422819,23687,-1,-1,-1,-1,967640,-1,-1,789069,448752,304452,-1,-1,-1,120532,568877,-1,-1,680035,-1,-1,5039,742648,411400,-1,-1,815418,572035,-1,564197,-1,458309,302914,-1,-1,20144,-1,342667,876099,220618,986463,-1,308771,-1,-1,-1,-1,639384,657930,-1,983277,-1,-1,-1,356278,780447,-1,251607,128604,-1,903433,885128,-1,506226,-1,-1,-1,799432,731655,-1,-1,-1,-1,-1,-1,594528,-1,780696,-1,-1,466998,-1,553655,-1,-1,923130,-1,-1,-1,-1,85673,194372,369159,-1,-1,600593,-1,-1,-1,177765,700027,-1,-1,804873,929004,848387,-1,963625,-1,770882,746491,-1,709816,231641,518031,934770,426863,-1,974502,290422,-1,-1,884492,857642,-1,-1,-1,-1,261169,700870,-1,309436,582273,-1,947925,515188,-1,-1,542897,698590,859798,322977,-1,-1,-1,-1,-1,-1,362297,610773,784408,478520,-1,-1,-1,877860,-1,-1,69534,-1,-1,-1,-1,416652,-1,378554,461146,750753,279385,-1,389970,330809,408632,584335,-1,-1,455137,932197,-1,647046,106770,477002,396416,936758,414166,-1,-1,760596,641508,355311,-1,481257,-1,-1,-1,526684,410787,-1,586625,-1,-1,-1,821035,-1,137436,-1,946794,806570,-1,541367,224989,-1,-1,441532,943254,840876,405320,-1,695515,-1,940435,402516,663046,-1,558484,-1,244858,-1,876688,719494,-1,262788,-1,799153,889894,697735,-1,763462,-1,-1,802556,761644,-1,-1,555244,-1,-1,125719,-1,818560,-1,-1,-1,-1,-1,637419,-1,-1,801591,778207,-1,58197,867853,66658,636188,332714,-1,-1,-1,429486,-1,866208,-1,-1,17593,-1,-1,248027,271788,340088,375851,-1,283085,-1,901112,-1,-1,-1,-1,-1,610851,614025,865639,58210,-1,-1,616611,-1,122147,-1,52437,-1,959361,-1,179301,-1,399646,564019,-1,8694,-1,351590,292391,-1,934667,-1,374635,-1,-1,433662,71173,780188,-1,131559,567734,288638,-1,-1,-1,-1,731001,-1,482580,-1,-1,-1,944514,-1,712475,374308,-1,474950,138807,-1,752036,975384,459267,757677,120222,356218,-1,-1,856495,-1,-1,698100,406362,138777,984614,657915,783166,265367,-1,-1,727480,430819,-1,85588,874658,-1,246524,409402,-1,-1,315250,46854,-1,-1,717792,-1,-1,943442,-1,-1,413718,-1,305697,299360,262710,131944,-1,407398,460271,660057,-1,197359,323218,593157,413978,-1,-1,192799,-1,-1,-1,825516,-1,-1,45744,-1,-1,-1,373935,495492,909459,-1,-1,-1,633099,-1,-1,-1,-1,907377,-1,-1,-1,-1,614262,331810,-1,-1,437037,24442,650637,703864,-1,538368,-1,-1,965932,-1,-1,639695,463062,-1,-1,607655,726627,725221,-1,-1,521596,-1,94042,-1,-1,-1,-1,-1,202964,-1,3594,-1,-1,142024,73732,-1,-1,-1,-1,-1,455941,590963,980839,-1,6059,-1,-1,-1,-1,159051,998128,824222,-1,352228,-1,-1,134373,-1,-1,-1,398294,611768,611927,644388,689156,-1,-1,340187,-1,706080,987922,932558,456889,-1,-1,-1,167245,-1,-1,184518,572705,-1,-1,818556,-1,-1,-1,330952,-1,-1,612049,837871,-1,323142,439932,-1,813524,-1,774850,954075,960150,-1,-1,-1,164554,-1,-1,337774,-1,892525,-1,-1,35240,956271,-1,-1,-1,-1,-1,-1,-1,64327,-1,483805,-1,9882,-1,-1,-1,-1,397542,718990,936297,840540,-1,-1,754644,33454,-1,522755,-1,993245,-1,35752,980649,-1,685680,3550,829701,991590,167620,-1,69405,-1,900627,715757,-1,467488,857246,283545,830949,-1,-1,746824,966287,829673,-1,541212,780421,-1,-1,-1,950606,-1,-1,-1,205799,884143,43646,-1,-1,170664,769647,-1,749715,866926,-1,-1,104984,-1,391497,915769,328664,584312,769107,280417,595966,-1,984309,-1,-1,-1,391731,208637,-1,-1,990455,-1,898474,557552,-1,115882,162622,-1,279664,112040,680429,-1,-1,661368,-1,-1,-1,211652,-1,-1,-1,-1,-1,-1,-1,446205,380037,-1,339572,-1,-1,-1,-1,707155,173696,660334,662885,315026,834961,506494,-1,-1,941951,-1,-1,21459,289840,533276,505774,-1,-1,-1,351505,-1,-1,-1,-1,-1,-1,-1,665320,990042,-1,694466,903730,-1,-1,974427,-1,371621,-1,923947,-1,-1,278098,498182,964626,-1,-1,3591,46714,-1,250429,-1,-1,-1,431635,-1,-1,-1,310293,-1,-1,-1,-1,-1,-1,697031,-1,-1,-1,-1,209706,-1,720474,379435,752373,-1,-1,-1,-1,467592,44269,-1,-1,-1,-1,-1,-1,864461,-1,-1,-1,-1,124633,-1,-1,-1,-1,-1,-1,-1,-1,-1,814021,-1,307401,-1,692326,-1,168124,-1,-1,-1,381179,-1,847016,-1,304147,636446,735936,245821,-1,-1,-1,-1,485190,-1,889978,872225,536502,745410,934126,886087,-1,849555,-1,122681,239448,-1,458916,121583,-1,507284,-1,449596,82671,844400,-1,-1,-1,-1,464463,-1,763851,63958,688753,643278,-1,603365,-1,132474,-1,-1,-1,722302,302224,-1,685302,-1,944456,734157,73598,-1,-1,532230,-1,-1,332852,-1,791513,742325,-1,308639,381205,-1,333951,-1,-1,-1,-1,-1,-1,-1,-1,-1,952315,951502,26537,941270,906818,-1,-1,-1,202614,348615,984690,-1,302383,-1,168390,-1,291862,867189,-1,104542,-1,65680,-1,439994,-1,491929,-1,615308,-1,-1,146508,429684,105205,-1,-1,-1,-1,-1,-1,570653,826222,-1,686563,444296,177841,-1,-1,445964,-1,-1,-1,-1,449524,-1,-1,-1,950726,-1,-1,-1,239578,446463,736549,72904,498139,-1,-1,-1,-1,-1,-1,201526,449160,949377,653016,48413,-1,-1,-1,-1,-1,59409,-1,435376,779268,124304,222048,-1,447666,2837,-1,142220,136409,187896,-1,588214,-1,557637,712283,-1,-1,-1,368151,486341,776453,-1,537409,302274,810845,-1,-1,905400,921541,-1,-1,39283,960146,906859,-1,-1,-1,150873,-1,-1,-1,395959,969735,-1,-1,-1,460230,-1,521738,-1,379374,386328,-1,120408,903237,968957,-1,452064,242827,781517,-1,-1,906326,-1,236083,215368,-1,81643,-1,-1,121225,156482,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,724890,383665,839306,-1,-1,840034,-1,-1,-1,-1,369925,45194,665022,486376,-1,-1,497029,-1,-1,-1,-1,677474,-1,-1,-1,-1,721161,-1,431666,108562,616268,-1,704004,162586,-1,-1,608906,-1,-1,-1,-1,895807,365047,-1,941439,-1,423362,-1,788018,-1,-1,878246,-1,-1,-1,661845,893279,-1,-1,763681,156965,167637,-1,-1,-1,194307,-1,915173,-1,789116,-1,-1,-1,529046,993113,455655,-1,-1,-1,-1,891978,-1,877178,67116,644992,-1,-1,-1,-1,63810,350548,289295,465645,-1,-1,183055,625007,-1,170564,-1,861179,-1,-1,583906,-1,-1,-1,416359,718678,575896,-1,910699,-1,383252,427204,-1,-1,92921,-1,300052,592567,-1,479089,-1,165541,-1,-1,-1,-1,-1,-1,-1,226652,308369,-1,-1,289860,606939,-1,-1,-1,845165,340245,347951,183015,-1,-1,104088,-1,220072,-1,82760,-1,995888,170180,-1,-1,923061,-1,-1,-1,189725,-1,-1,-1,669095,356083,659348,355592,953114,-1,774836,-1,739787,-1,-1,-1,831112,426012,327760,6814,736969,-1,891907,-1,-1,160334,-1,-1,-1,469605,639723,940884,289248,262489,818971,51469,518360,415388,229840,-1,-1,258135,-1,789049,-1,-1,-1,-1,124466,614891,-1,-1,719839,-1,799085,-1,224898,-1,-1,-1,370310,445140,-1,879282,831505,937803,631339,-1,465554,-1,-1,-1,709310,56917,290343,235057,-1,-1,639089,810754,306484,-1,-1,-1,227261,-1,89587,236764,-1,754366,-1,-1,-1,-1,502175,-1,796220,-1,-1,986262,472066,944150,-1,116891,108654,-1,989146,-1,-1,985845,456014,-1,419611,132718,731165,-1,-1,979509,-1,552484,-1,-1,-1,674865,494810,86261,244120,249989,-1,-1,836632,-1,-1,-1,408320,-1,-1,864532,-1,-1,-1,956892,-1,-1,-1,182464,651074,409349,-1,-1,-1,997812,279853,-1,-1,-1,555977,280949,260203,166205,-1,351397,-1,961952,782198,580736,105338,-1,619794,-1,223172,818150,210811,-1,250194,-1,-1,755897,-1,23167,-1,-1,-1,-1,-1,-1,-1,-1,824135,981052,-1,716206,302071,216459,-1,-1,-1,563997,836023,-1,364490,214223,-1,207584,-1,401805,484530,-1,234769,140549,686289,628647,-1,-1,768114,422251,-1,-1,274964,151928,469807,828770,614118,622188,-1,109966,-1,-1,28136,-1,-1,599600,440628,-1,300217,72097,-1,-1,-1,-1,786567,83391,-1,268943,-1,-1,539072,-1,-1,-1,-1,-1,478461,-1,697503,760248,273979,-1,550482,911806,-1,979026,140867,-1,880561,507922,-1,-1,51706,-1,100013,-1,-1,-1,-1,748020,566497,699440,-1,491526,759103,-1,-1,-1,280784,-1,171457,862745,179398,-1,311305,347975,-1,-1,475826,-1,-1,549882,109730,-1,463163,-1,471103,125231,-1,-1,38038,237813,123819,249567,787496,-1,342043,-1,609164,-1,-1,942035,885083,824726,723344,-1,-1,30052,757581,-1,520176,786991,-1,-1,29857,165392,-1,-1,-1,-1,41337,938663,-1,476559,64150,-1,954050,-1,-1,744845,-1,419664,681157,12056,492311,258684,-1,-1,-1,-1,468645,-1,914584,502150,545170,680931,-1,-1,-1,-1,-1,828784,-1,-1,-1,-1,147646,-1,651679,744986,-1,-1,538905,-1,33419,545658,75915,-1,754794,703274,-1,42628,681844,-1,124188,293499,597029,472077,884933,526825,600025,368000,693057,252688,419819,-1,281738,-1,-1,490151,152136,740142,661251,-1,28785,-1,598719,264062,-1,-1,-1,512712,-1,-1,77931,841345,-1,96196,-1,-1,918324,602049,-1,-1,935561,195342,-1,806559,-1,-1,867301,-1,754542,-1,-1,-1,405834,851096,290227,158153,124330,757328,-1,-1,450820,400396,-1,446742,733027,-1,-1,-1,-1,-1,854073,-1,771492,701971,188936,21089,-1,-1,-1,344439,-1,636772,-1,635932,674759,-1,697357,-1,-1,-1,363316,552608,-1,-1,-1,382930,-1,24188,753189,-1,290174,630272,-1,639087,-1,850729,964666,648047,-1,524851,-1,-1,-1,134832,-1,238517,-1,301841,254779,-1,896655,-1,-1,966525,-1,-1,-1,322324,479471,-1,-1,423878,-1,-1,619719,390217,44046,-1,785884,-1,887820,-1,-1,-1,997939,-1,-1,22113,723221,-1,948823,-1,619232,655861,461359,661893,703428,-1,266917,-1,584953,-1,-1,70523,-1,-1,-1,379656,407935,-1,998507,-1,-1,-1,-1,-1,-1,480508,-1,32214,555399,11464,118340,-1,-1,406074,330722,-1,589085,-1,637449,-1,-1,-1,521174,325515,-1,883125,-1,58934,-1,768057,-1,186561,-1,-1,700218,-1,-1,803000,738669,92162,-1,-1,-1,543351,376936,-1,-1,-1,148518,325695,-1,47041,-1,-1,861369,-1,704341,457244,911456,134032,-1,529977,843378,753668,863937,-1,275197,-1,-1,91927,-1,966459,-1,-1,-1,-1,-1,-1,-1,953929,-1,-1,312579,-1,-1,595684,480611,61951,-1,-1,-1,777585,-1,-1,475172,387337,156149,254534,-1,-1,-1,668646,369411,32183,-1,-1,821021,627809,-1,-1,494644,470653,-1,-1,-1,78348,473312,-1,-1,405246,-1,-1,-1,-1,368996,282597,-1,200739,741835,-1,-1,-1,-1,955875,220285,595038,-1,621958,-1,-1,-1,-1,-1,-1,289915,-1,-1,616531,810025,183541,-1,-1,-1,-1,46735,796864,-1,87366,713672,986384,607975,760339,916380,954766,-1,739234,151428,-1,-1,627438,371211,-1,401713,-1,18811,696612,950324,577526,-1,576933,343546,602222,-1,826560,747566,384047,-1,-1,708414,-1,549263,-1,155652,-1,-1,-1,15793,223826,-1,-1,-1,-1,-1,613270,-1,898373,-1,-1,818162,987175,728793,-1,-1,-1,-1,-1,303993,-1,-1,-1,472192,672701,376271,-1,594125,-1,729516,986265,540867,-1,563039,-1,-1,-1,-1,-1,-1,-1,-1,37550,-1,184718,-1,-1,-1,-1,922962,-1,-1,395756,-1,-1,802442,-1,655447,102422,147079,640034,-1,313565,-1,335695,977519,761261,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,107839,-1,-1,-1,654792,-1,-1,414643,413808,657932,155060,736190,351156,-1,10991,214637,189464,-1,5254,794530,985122,-1,-1,-1,-1,356334,554754,289346,-1,-1,388061,757874,-1,-1,-1,-1,771979,-1,-1,-1,-1,-1,72937,-1,-1,616722,-1,445274,-1,70534,131634,-1,498304,968759,-1,-1,763325,-1,411629,-1,460450,539598,131532,99293,965772,-1,-1,577684,482804,-1,-1,-1,517039,-1,931693,-1,-1,-1,862339,-1,-1,-1,952604,-1,444962,421169,861490,-1,81413,179739,-1,-1,139909,518161,326713,126978,-1,-1,375531,955048,-1,-1,-1,-1,-1,150455,156799,-1,136002,148155,-1,787588,680737,877772,-1,-1,-1,587319,650898,885227,427785,151128,898676,506991,-1,874790,391250,-1,243108,-1,191828,-1,693437,617785,554735,319511,677426,-1,-1,-1,-1,-1,938002,164755,69582,-1,-1,124689,442311,739908,-1,317420,-1,581291,282747,489034,222820,-1,-1,-1,728709,-1,303701,-1,658943,-1,43458,-1,53094,-1,759711,-1,-1,-1,-1,-1,-1,236650,-1,125845,-1,315325,-1,-1,-1,568477,272942,760816,289208,-1,170934,222707,123736,124125,-1,471165,-1,-1,725624,-1,-1,445602,400630,-1,469647,-1,-1,536750,-1,151601,-1,-1,-1,788508,111737,-1,-1,-1,619091,-1,751011,957052,464444,793634,597303,28283,726197,489886,283261,191217,-1,-1,-1,-1,783411,-1,-1,726057,736585,493292,350643,-1,744807,-1,-1,923566,650046,454426,-1,630808,-1,-1,-1,807064,-1,-1,948240,-1,759413,503988,221186,767898,-1,911822,441858,681232,742306,863465,-1,-1,60014,-1,-1,756302,28782,-1,-1,729085,460799,301670,-1,567771,-1,-1,-1,834068,-1,-1,-1,760252,-1,659617,-1,-1,465705,899366,292212,562404,491610,-1,908858,99574,-1,169743,636555,-1,53435,106703,48521,-1,210154,-1,866984,917477,173630,703970,-1,219961,46059,783289,603038,-1,668794,-1,-1,-1,-1,776706,-1,499783,564586,168422,-1,421745,-1,-1,196929,958,656406,-1,218268,-1,-1,-1,694754,486733,904564,-1,108532,-1,16666,893407,-1,98288,-1,-1,-1,38710,435134,638325,-1,-1,651054,845908,-1,500849,227118,517104,974376,-1,216076,-1,-1,-1,-1,353345,-1,37211,310925,184797,198812,-1,-1,-1,450198,-1,-1,938874,-1,113356,-1,376122,342335,-1,-1,946534,-1,-1,-1,942068,-1,851582,960177,-1,-1,762439,-1,867192,-1,-1,-1,296188,-1,-1,588323,971750,600296,350682,-1,354189,-1,22356,-1,-1,-1,75687,885000,759043,-1,811164,240800,133503,478724,776784,482715,-1,-1,-1,409056,395748,-1,-1,160064,711952,-1,-1,-1,-1,-1,-1,-1,281673,-1,-1,-1,-1,106311,268066,-1,-1,613236,363416,-1,-1,658459,-1,-1,914374,-1,587173,-1,-1,-1,-1,-1,-1,-1,-1,691358,-1,-1,175243,66675,903614,41121,223673,155502,-1,350172,597441,325832,-1,432256,581503,-1,618168,-1,664580,-1,192898,-1,-1,534717,931431,864347,-1,-1,-1,-1,-1,-1,-1,-1,249404,986729,255364,-1,762675,137034,66779,-1,531763,844269,838500,801858,78597,-1,558533,-1,120769,-1,561185,561564,575437,703999,-1,247508,111412,145481,-1,-1,-1,261416,-1,555019,-1,-1,596463,-1,279363,-1,141086,960832,-1,-1,564007,745392,759775,-1,385631,-1,646952,963710,-1,872181,591516,95804,219100,-1,336503,-1,-1,28956,853244,456289,-1,-1,-1,214611,-1,946807,695595,-1,931846,499929,937074,350547,-1,-1,641915,689639,920760,-1,-1,-1,-1,-1,-1,-1,123684,-1,325977,-1,-1,-1,-1,-1,-1,322159,544368,-1,-1,-1,-1,935887,149442,724217,-1,395284,-1,357877,849129,87237,745169,405243,978994,741570,-1,-1,883693,104327,225942,-1,772780,-1,486307,-1,895216,655724,548774,861698,229714,659634,341023,-1,-1,94063,-1,-1,96453,782338,-1,-1,788093,219784,695373,896510,-1,567482,299848,191362,-1,670073,-1,-1,-1,-1,-1,269137,-1,443035,-1,309706,-1,103047,-1,291184,334067,519873,78125,-1,-1,-1,15080,70058,-1,228979,112265,793575,899950,581981,368483,706359,-1,608121,-1,353480,542466,-1,-1,674897,-1,528274,58093,748691,-1,164572,693986,-1,-1,926344,-1,-1,-1,565396,-1,133619,-1,-1,925292,-1,-1,780661,-1,174270,335229,27840,-1,116465,786267,930964,688807,-1,-1,-1,-1,-1,-1,-1,-1,254301,-1,-1,579328,722366,866813,224851,-1,248884,145348,-1,-1,-1,982682,-1,603071,-1,382053,721883,-1,-1,-1,278861,437850,-1,-1,-1,934340,-1,705366,-1,-1,-1,885489,377407,545564,103864,-1,537930,-1,-1,-1,-1,687788,698373,-1,-1,-1,27093,397631,-1,997342,277982,-1,656224,-1,-1,737012,-1,-1,181297,-1,-1,-1,-1,-1,-1,-1,35459,-1,-1,732159,-1,127434,-1,498788,-1,718720,359563,184076,511409,-1,-1,944146,134599,-1,529147,641403,-1,567952,-1,319911,971615,-1,-1,-1,-1,76049,-1,992335,215539,-1,-1,-1,17880,375263,-1,941643,-1,349433,541427,-1,717947,543823,-1,-1,-1,578084,481368,770622,640027,224395,852186,-1,690830,-1,-1,-1,-1,-1,-1,646361,503014,506877,945799,-1,-1,-1,543300,-1,28933,-1,-1,662297,-1,49586,-1,792854,723777,738843,-1,995047,-1,597812,689803,746046,788680,-1,-1,-1,-1,-1,799652,471203,-1,52117,-1,-1,438322,-1,-1,-1,691113,-1,307961,-1,-1,47114,-1,-1,951163,-1,998109,198011,103392,907482,990308,-1,-1,-1,-1,-1,186968,193980,-1,-1,-1,476370,-1,305312,-1,-1,823605,603429,-1,-1,-1,-1,-1,164225,447653,-1,-1,-1,-1,-1,-1,296175,526887,649465,-1,-1,-1,336063,565643,926752,-1,823511,10118,796521,523184,811876,864426,827593,-1,-1,11810,500592,-1,-1,364457,377626,993974,970094,-1,-1,419093,-1,388544,716762,-1,777802,-1,757279,-1,53112,286198,-1,-1,848477,505873,-1,694609,-1,578298,-1,644048,-1,281325,-1,688261,-1,553731,-1,-1,-1,-1,-1,-1,-1,946932,-1,177925,-1,982599,-1,-1,237386,913900,819110,382130,-1,-1,512333,719217,897102,59106,18744,625515,166636,987843,-1,910299,394085,-1,-1,533227,-1,162862,916859,-1,376657,298691,-1,180282,-1,-1,-1,-1,-1,-1,-1,-1,-1,980308,155637,282517,-1,282921,-1,656485,-1,928239,482903,-1,238254,-1,319541,299319,596906,-1,-1,-1,642989,181374,626386,-1,800354,-1,73694,207767,-1,241713,-1,345838,-1,-1,-1,-1,13089,482100,-1,295233,608902,-1,-1,992119,-1,558791,460198,-1,466651,-1,-1,-1,860142,406653,-1,804874,187476,358368,-1,685924,-1,-1,-1,-1,604457,-1,650749,455293,-1,-1,940029,912644,953512,-1,-1,637440,-1,-1,217796,-1,827806,962823,-1,153414,923748,-1,8934,411744,789730,353103,-1,-1,-1,-1,938362,650488,-1,-1,-1,441334,608754,444724,624734,-1,-1,-1,-1,735409,963298,400101,-1,873955,-1,637836,-1,-1,-1,400212,-1,-1,-1,-1,-1,541284,474932,-1,-1,-1,707874,500696,-1,-1,617835,418502,-1,-1,392165,996242,526179,262113,437660,124731,-1,478499,626831,675199,347423,588536,58186,-1,-1,-1,62962,-1,-1,-1,302391,186677,786132,18106,992364,-1,-1,-1,405848,159666,663665,-1,-1,226963,-1,-1,331131,-1,-1,925248,-1,809487,849037,-1,772986,-1,623855,-1,967236,891913,-1,-1,-1,-1,2474,-1,-1,864486,-1,-1,-1,-1,-1,-1,260281,154015,-1,-1,-1,465249,131349,-1,875466,895033,920029,-1,-1,-1,-1,-1,564250,-1,812240,-1,813147,790993,802880,969711,575754,201837,-1,-1,590615,-1,-1,30711,274981,-1,-1,66129,389059,67695,-1,728938,-1,-1,603786,255097,156346,-1,492905,-1,561081,241028,413324,-1,867866,915654,-1,405924,-1,-1,389094,617090,-1,-1,-1,-1,541124,820693,-1,458876,-1,136367,934317,-1,899968,-1,-1,125198,-1,951841,-1,-1,-1,229818,-1,-1,-1,-1,363354,-1,435166,-1,359619,-1,-1,196199,822438,147097,513658,-1,259899,649525,-1,-1,-1,-1,598180,-1,41362,-1,36602,-1,412008,335094,-1,463385,-1,-1,172819,-1,27305,233820,103348,808809,734297,-1,-1,889447,-1,-1,-1,833036,-1,-1,810411,-1,659022,-1,17047,732789,834488,913950,-1,-1,-1,-1,872301,-1,-1,-1,-1,911852,135364,-1,232915,-1,-1,-1,-1,627796,580378,-1,467920,8921,234858,-1,242824,-1,355821,523092,700800,-1,443294,-1,-1,626728,156464,-1,362286,768695,196415,-1,-1,224568,784085,-1,451871,-1,-1,895439,-1,-1,500939,452308,-1,-1,-1,-1,126059,369512,523516,35608,393874,-1,934639,-1,990115,-1,-1,175071,-1,-1,139795,26251,-1,-1,456291,526478,671560,-1,-1,-1,-1,50532,828243,-1,-1,-1,-1,-1,903022,218199,780715,-1,494750,885772,-1,-1,288146,201220,-1,106615,-1,-1,-1,-1,951492,399769,-1,405163,833851,-1,-1,202457,-1,-1,163009,-1,668606,-1,-1,-1,-1,-1,-1,389597,-1,-1,-1,-1,-1,-1,153639,-1,-1,713820,-1,-1,652000,-1,804146,-1,-1,-1,-1,179746,-1,992381,953517,756473,313288,773243,-1,-1,666810,661032,649759,497359,-1,533541,512295,-1,-1,616541,465821,-1,91785,770806,388108,-1,-1,680426,-1,254203,933765,381813,-1,149111,163483,523228,-1,-1,-1,719372,-1,-1,45161,807510,94732,456675,855062,-1,-1,648992,487714,869938,-1,-1,-1,-1,498192,310451,-1,860649,-1,864903,270341,-1,-1,254382,145914,-1,-1,726224,-1,229737,116506,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8125,221009,772792,-1,119032,-1,-1,267059,-1,480019,949278,80896,590877,-1,650543,-1,-1,-1,-1,454159,537136,191537,-1,266001,-1,804335,819176,-1,-1,-1,-1,-1,-1,551611,-1,207820,-1,584218,-1,-1,820387,95081,788788,572586,219396,-1,755542,-1,493157,337863,-1,969574,819551,385498,-1,652094,-1,222260,-1,300871,143195,166118,975934,-1,-1,-1,630415,-1,-1,-1,-1,-1,771118,907743,616839,412153,-1,-1,-1,-1,-1,324515,-1,-1,691391,-1,-1,8061,548262,84575,673733,946424,769171,-1,-1,-1,-1,-1,500157,-1,-1,-1,-1,-1,-1,269401,-1,-1,-1,369205,799826,-1,-1,-1,406601,-1,-1,848512,762119,514714,-1,-1,-1,-1,-1,247382,-1,-1,-1,967335,-1,-1,95963,310970,-1,839821,586775,-1,207042,119083,224978,-1,906347,-1,-1,341437,-1,168535,874578,10255,-1,-1,-1,-1,-1,-1,168775,989453,18196,-1,-1,-1,165809,850788,-1,-1,13383,38198,-1,-1,-1,103757,228515,-1,-1,-1,395498,-1,169238,-1,-1,16086,926170,-1,571992,-1,-1,-1,-1,360101,-1,-1,488295,155379,960365,920643,361294,24433,58745,-1,903244,526444,403289,-1,-1,-1,636040,-1,741984,513675,-1,-1,-1,-1,298778,-1,-1,832137,-1,188697,635016,-1,-1,380494,833590,664082,-1,-1,-1,258529,-1,-1,753260,-1,-1,-1,-1,-1,785767,885180,722616,422239,-1,621530,-1,706810,132947,-1,288329,-1,87172,-1,-1,817294,-1,668335,-1,-1,-1,-1,-1,-1,33307,-1,-1,-1,938443,909816,839907,94390,-1,-1,-1,522012,-1,473511,439854,137269,-1,-1,713716,-1,-1,-1,138657,978818,957864,-1,64393,810960,467897,281651,-1,472855,859939,-1,-1,-1,734905,-1,-1,-1,514722,-1,568360,-1,-1,117808,954011,895490,-1,-1,-1,-1,-1,73774,-1,-1,564049,247694,138253,260680,-1,-1,434265,261449,-1,-1,-1,572683,780281,-1,-1,823773,782129,-1,-1,780710,-1,565881,477545,-1,-1,-1,701806,-1,347000,-1,337806,558060,188025,-1,-1,586734,-1,-1,-1,-1,367800,-1,62148,-1,180333,-1,-1,-1,-1,595336,-1,275104,-1,-1,287733,879999,-1,-1,198542,619715,-1,21919,364402,599683,769940,370654,-1,5136,985587,690888,-1,180669,744028,825905,321324,-1,-1,-1,668586,-1,-1,516959,555498,-1,-1,-1,-1,370304,-1,-1,-1,550699,-1,-1,645971,893298,-1,-1,753043,582837,-1,925240,-1,-1,432241,199219,-1,-1,400617,199988,710302,-1,-1,895662,896467,-1,948931,-1,-1,285222,713331,893661,-1,-1,-1,163511,-1,-1,-1,-1,-1,-1,71620,-1,53740,-1,315630,9505,-1,66175,-1,-1,639370,434665,-1,-1,-1,406009,-1,-1,292130,901536,148992,-1,-1,-1,187338,211066,714508,43493,-1,8185,789800,779304,486617,-1,-1,235859,-1,-1,-1,871693,-1,115330,709627,-1,750969,935632,135218,-1,-1,-1,906807,586536,939487,968885,-1,-1,-1,13167,-1,975003,-1,179922,-1,627212,223624,-1,-1,258255,-1,820730,-1,800186,421542,-1,363210,-1,-1,788818,-1,-1,-1,31827,-1,-1,-1,-1,300029,285209,-1,-1,-1,-1,-1,-1,-1,693224,929333,979697,-1,534571,477819,-1,28593,445054,-1,-1,191817,-1,-1,-1,-1,885252,310044,904434,90686,641761,896430,496959,450135,148420,-1,-1,708702,-1,5462,30195,-1,555578,-1,538964,-1,-1,-1,178110,-1,165466,638085,-1,602391,-1,956212,846610,114499,-1,87624,-1,-1,683452,346667,362735,532732,-1,-1,-1,165784,-1,-1,853477,-1,891822,-1,528120,-1,500945,-1,-1,-1,-1,-1,670936,-1,-1,71729,-1,-1,-1,863441,234067,-1,-1,379968,715063,-1,-1,785589,662027,504492,865387,-1,100566,767060,199030,552771,-1,-1,-1,728114,-1,832869,-1,-1,323174,840254,124019,476059,165131,550160,-1,409929,249970,-1,-1,-1,-1,775354,373156,-1,332837,793066,-1,-1,808303,127220,836398,-1,-1,-1,354327,-1,-1,416436,-1,-1,618245,-1,919158,-1,-1,-1,-1,531888,244676,96258,458840,-1,-1,-1,-1,-1,-1,90936,292572,-1,-1,415874,-1,949322,-1,-1,-1,-1,235406,-1,779865,-1,508267,-1,-1,693849,889761,964544,-1,556078,-1,-1,-1,-1,221546,422599,-1,-1,-1,-1,-1,-1,-1,-1,805388,890261,372754,-1,-1,47968,474592,-1,-1,13315,-1,956298,801748,-1,141283,119003,-1,-1,156782,430635,689766,-1,928440,-1,-1,-1,-1,650284,568987,194578,-1,250632,333831,311843,-1,-1,-1,519353,-1,-1,-1,-1,-1,-1,551988,666355,620509,-1,23607,667632,999058,-1,788369,66602,903943,-1,738286,-1,778750,932238,764174,-1,-1,-1,401521,507217,80640,-1,-1,264885,626823,153751,-1,201483,-1,824110,-1,366549,-1,23290,140707,652186,-1,-1,-1,514141,728779,363090,222451,823980,908835,308905,-1,655796,50068,477996,-1,961136,-1,-1,-1,-1,-1,86391,633070,-1,976735,898711,607793,125458,-1,25665,-1,984375,590843,-1,65862,833176,-1,588931,638138,-1,-1,-1,-1,249917,138138,276104,817965,-1,109878,-1,-1,-1,-1,440409,305848,-1,977997,419177,-1,413931,-1,-1,713591,694034,680242,-1,-1,229641,-1,899198,-1,222124,-1,-1,-1,-1,925141,572084,-1,-1,679651,-1,758103,91574,29505,129680,385066,-1,979191,-1,266115,-1,299853,-1,354052,43062,-1,355916,667682,-1,590991,-1,-1,211408,99517,780564,-1,467616,777685,580898,464851,-1,-1,-1,-1,92174,721737,-1,440966,-1,-1,29012,771510,413698,-1,-1,356677,-1,181530,334012,438579,749946,-1,466075,590661,877261,965720,-1,540174,33235,270240,-1,-1,946286,573618,336506,-1,663505,-1,-1,-1,328148,-1,-1,341785,-1,958056,-1,528810,647173,-1,-1,768394,389410,-1,72576,-1,-1,533185,655850,-1,-1,-1,-1,-1,-1,13826,650310,435933,-1,-1,928809,-1,370460,-1,306308,776547,-1,112329,-1,869985,402422,544359,-1,-1,-1,-1,-1,640192,-1,572875,-1,474279,137721,-1,-1,-1,-1,-1,107689,-1,-1,-1,707055,717559,-1,276736,-1,-1,-1,342828,-1,-1,514598,-1,939309,-1,725316,997016,-1,-1,-1,-1,-1,894708,60521,350873,677767,300434,-1,-1,778705,186425,683408,-1,690868,-1,440721,50846,996265,957938,-1,438340,206570,-1,229497,-1,509493,376376,1930,24302,999242,-1,934410,-1,-1,-1,-1,-1,-1,-1,-1,520647,-1,677603,506523,-1,137357,-1,479174,-1,-1,-1,-1,-1,-1,-1,-1,863360,-1,-1,-1,-1,-1,613032,-1,173328,-1,573514,-1,-1,408702,-1,746428,-1,864332,771832,-1,-1,-1,447414,-1,-1,32929,348641,91283,-1,564242,-1,875588,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,321815,-1,-1,646236,-1,650872,-1,-1,-1,621797,559631,-1,-1,553292,615172,717511,-1,68161,-1,482305,-1,260318,284778,60028,500952,-1,386661,-1,461267,591687,-1,608801,-1,794825,181909,-1,-1,-1,769957,96040,-1,-1,964483,-1,849214,602238,548748,225924,726242,317013,-1,-1,62903,-1,328358,726594,-1,309668,-1,-1,641418,81969,-1,321130,424188,849489,-1,-1,-1,630931,-1,52248,-1,-1,-1,26140,940788,-1,913780,630557,316533,-1,-1,667574,-1,-1,-1,-1,198755,661497,17500,-1,558393,679135,982403,-1,842571,961947,-1,812594,-1,-1,496034,-1,661287,-1,644707,-1,453633,506814,209863,963637,-1,-1,122911,530528,377530,-1,310295,-1,305110,90781,144214,-1,641200,-1,-1,-1,635737,457024,-1,-1,320173,-1,-1,-1,-1,333704,-1,264688,71658,936717,-1,-1,614887,647899,784461,-1,532538,-1,-1,733930,-1,760420,334786,42262,181124,179876,829433,-1,585666,-1,127038,-1,911384,-1,-1,-1,-1,-1,682500,690790,206252,462059,316605,-1,721571,327135,-1,858769,-1,-1,396260,-1,-1,750402,-1,-1,977442,-1,964976,9781,334545,159729,-1,550739,806046,-1,-1,508747,608897,618762,-1,-1,-1,-1,-1,171285,755401,-1,-1,-1,-1,-1,-1,-1,-1,665259,720237,-1,-1,520434,754169,32842,-1,845405,-1,-1,190109,-1,-1,992795,-1,218128,-1,-1,-1,483221,513200,438502,1202,537941,-1,-1,-1,979366,-1,-1,-1,757883,-1,765735,268123,-1,319607,-1,-1,-1,-1,548471,140585,-1,684113,386987,675084,-1,673779,578405,233766,615283,335693,-1,-1,-1,-1,437181,-1,-1,842667,-1,-1,263830,813421,233112,-1,-1,-1,-1,-1,167517,422770,385432,-1,-1,-1,854785,455120,-1,205130,85130,-1,-1,498608,130853,266928,626455,-1,118362,-1,-1,942569,42465,61590,842304,156905,30648,724625,-1,-1,567595,641273,-1,-1,-1,236400,797270,533757,234085,439337,-1,542017,626483,-1,-1,-1,788098,-1,-1,888011,750168,628095,-1,477046,643417,751774,572352,-1,989278,733817,20636,-1,-1,909569,-1,-1,778984,120595,356831,-1,-1,559338,-1,-1,749041,-1,137409,32569,900403,-1,-1,316660,607366,435992,-1,650266,-1,-1,233224,-1,-1,-1,757219,-1,-1,-1,-1,-1,70598,901656,-1,492536,-1,-1,-1,105885,-1,708576,-1,684979,153055,723450,281491,-1,824043,-1,-1,134587,-1,278770,-1,-1,-1,781567,994920,-1,979967,-1,-1,-1,-1,352338,-1,-1,339249,429605,-1,-1,-1,-1,-1,-1,-1,-1,863665,596001,534217,-1,209122,-1,176706,984313,-1,-1,-1,816814,447690,377208,-1,-1,92556,-1,367823,935356,-1,-1,-1,154996,707881,140335,690327,534380,558084,577704,-1,-1,-1,-1,759342,115797,48444,-1,-1,-1,35210,363469,-1,87790,165727,-1,337572,998231,427896,43543,209701,5847,165619,28546,-1,-1,-1,-1,373120,-1,-1,716930,-1,342776,-1,-1,392995,470660,590154,498957,187985,-1,699877,579411,-1,-1,725809,-1,622312,905981,-1,483491,-1,-1,-1,-1,68146,837698,-1,-1,-1,646814,559233,-1,414705,778959,-1,-1,949648,-1,198083,995045,914402,-1,312851,782689,68416,7198,3530,501943,-1,-1,345479,-1,964508,-1,830029,765646,648615,503178,978071,310067,729946,-1,627260,439422,687168,710637,-1,403620,757382,-1,-1,77959,-1,920721,-1,-1,219733,39332,-1,-1,-1,-1,871327,439651,499083,-1,-1,-1,239572,-1,-1,-1,-1,148638,-1,578309,-1,276488,-1,-1,501433,779912,-1,-1,930149,-1,-1,-1,327924,-1,-1,-1,-1,-1,137043,-1,835161,-1,-1,140656,-1,-1,33074,477303,772591,47709,-1,583233,-1,688972,-1,215748,133748,878599,-1,-1,-1,265741,657858,310370,334140,-1,-1,277504,-1,-1,-1,474507,-1,-1,-1,-1,-1,-1,-1,-1,-1,442475,-1,268519,-1,676708,-1,-1,323494,258065,477126,-1,-1,472823,-1,153024,-1,-1,-1,74411,507419,-1,-1,79816,483153,-1,-1,-1,493891,-1,422300,371797,-1,-1,-1,-1,-1,-1,27083,230835,782831,-1,-1,-1,-1,455638,137699,16563,11981,-1,-1,557303,-1,756747,986388,-1,-1,-1,-1,135532,-1,829506,-1,329163,-1,149989,-1,700578,-1,914743,768383,-1,-1,46914,-1,-1,-1,549093,453536,-1,-1,-1,-1,-1,489851,428259,-1,-1,-1,660428,-1,-1,695890,-1,-1,-1,996383,771264,-1,-1,-1,800384,735654,106651,693124,329941,614099,435020,850585,313441,125378,39941,915903,-1,-1,989451,-1,-1,188103,272375,35653,704369,-1,765662,-1,-1,-1,227187,-1,362059,-1,-1,507372,391046,337301,-1,332524,-1,82415,-1,-1,-1,-1,885320,-1,678208,-1,-1,-1,160974,-1,-1,-1,533871,-1,454530,124158,-1,889849,-1,-1,607810,-1,-1,107393,-1,-1,553991,-1,517357,-1,-1,-1,267548,728911,130617,463142,633738,-1,534995,-1,397630,759924,758456,642094,590002,-1,361190,340052,-1,345416,180227,-1,842341,958932,783493,490769,-1,-1,-1,-1,639306,673472,-1,840645,824951,-1,-1,-1,444490,77225,642937,-1,951653,-1,630336,-1,245817,667437,738781,282457,443638,504946,223677,735811,-1,-1,-1,-1,-1,-1,-1,-1,959133,-1,-1,-1,-1,-1,98462,225535,666047,541580,956446,429425,-1,707342,-1,111894,-1,345220,-1,593595,826753,-1,-1,840185,546624,-1,755345,940752,35473,508134,-1,-1,301062,937422,-1,-1,-1,-1,182192,-1,-1,168163,224304,-1,-1,-1,141419,-1,302187,-1,-1,483828,-1,176776,451519,599139,-1,828913,-1,-1,-1,698904,-1,785909,-1,306799,343880,346051,125426,-1,187986,688211,-1,401847,-1,634566,149963,560392,-1,151657,-1,383613,-1,-1,-1,566597,184554,-1,-1,516334,-1,281419,931513,424913,-1,-1,475794,577723,431707,803078,910899,-1,-1,-1,-1,821623,-1,-1,-1,-1,-1,111457,779682,-1,-1,945106,-1,697024,-1,-1,256932,78083,-1,-1,-1,-1,-1,-1,-1,499923,398148,802060,-1,572796,-1,471807,-1,82178,855609,490210,317689,-1,204013,-1,724182,319957,24034,-1,-1,408275,-1,-1,-1,-1,428390,741486,-1,849779,924741,-1,55797,107082,-1,-1,761851,-1,863196,-1,388210,306677,-1,676788,-1,-1,-1,170200,806426,-1,-1,655956,-1,377195,-1,-1,420580,163629,-1,183343,-1,893596,-1,-1,-1,615763,437556,98599,456199,-1,-1,652690,449764,326232,-1,-1,-1,817536,-1,905311,255861,-1,-1,-1,-1,-1,-1,-1,834169,8155,734291,262301,637118,-1,-1,856653,980963,-1,661111,841518,751148,-1,-1,65742,127963,834709,797009,-1,297558,260194,150223,251743,180674,-1,-1,-1,21404,-1,-1,953615,-1,-1,-1,-1,-1,-1,977760,977932,244909,314372,-1,-1,5457,-1,-1,403752,-1,559774,-1,699452,32173,42788,192862,-1,332804,-1,373939,161536,-1,826140,-1,565771,330914,591710,-1,-1,-1,-1,134054,-1,-1,600465,331093,810264,-1,837346,-1,887563,-1,-1,672018,-1,638361,867787,-1,217070,-1,692413,664797,-1,48841,-1,-1,-1,850953,696227,556688,260183,-1,210986,284341,761881,7689,-1,-1,-1,399917,-1,-1,-1,-1,604848,75747,946293,-1,58019,-1,372840,545315,860185,763952,-1,10892,-1,552667,-1,854897,31655,-1,-1,-1,-1,898639,544439,67951,-1,568578,904660,-1,143477,-1,66894,313578,287824,385103,300771,684385,16482,453323,-1,-1,734289,905786,-1,659875,204993,951071,-1,-1,91863,-1,56706,56234,-1,-1,-1,-1,-1,608697,-1,960460,-1,215669,39431,925016,530434,-1,-1,180876,138707,223578,312211,-1,244306,-1,-1,-1,-1,650163,-1,599143,-1,645826,-1,-1,-1,261928,547918,231449,-1,246767,-1,-1,443358,-1,-1,-1,-1,714951,980152,96939,554966,-1,-1,182299,-1,257218,645667,904355,587729,-1,-1,-1,652463,317186,-1,-1,483786,676630,-1,90022,76698,-1,638226,-1,-1,-1,658680,465412,-1,375289,518247,360173,-1,-1,-1,-1,-1,174224,-1,581004,960581,-1,-1,-1,-1,773122,959104,-1,-1,345888,524964,6926,-1,329230,765789,-1,-1,-1,127640,-1,636078,238383,-1,-1,350252,-1,-1,-1,643485,-1,-1,-1,31730,369383,752866,-1,-1,94863,-1,-1,684059,48702,-1,-1,336055,-1,573863,-1,435812,-1,421211,-1,-1,585563,-1,163843,-1,-1,465435,-1,-1,817169,147234,680592,-1,754691,-1,-1,-1,-1,966094,-1,-1,-1,-1,220915,-1,-1,-1,-1,158883,-1,129215,153831,-1,76843,885889,162405,-1,312815,-1,713991,-1,532108,795689,-1,86648,-1,-1,-1,779555,-1,139357,-1,143251,-1,-1,-1,413342,361046,689964,-1,660904,523755,-1,-1,-1,282189,797249,-1,50119,-1,538555,376583,297875,-1,-1,439771,910810,76023,-1,-1,17871,271573,926567,543661,-1,448755,113249,-1,-1,-1,611627,356896,-1,50394,677210,873897,402565,-1,797697,740176,854091,344690,202451,-1,-1,-1,-1,214709,209357,-1,-1,-1,-1,-1,742197,344596,-1,-1,53116,-1,-1,-1,824954,-1,-1,511492,806327,465260,552157,-1,-1,-1,-1,-1,-1,688629,877250,961987,184527,123154,373726,-1,532148,-1,-1,-1,729943,300308,-1,-1,156822,90563,4713,928727,284347,540832,-1,559004,-1,594732,477529,465953,35526,769861,-1,952918,-1,-1,-1,-1,-1,479209,759389,-1,-1,437431,252414,-1,-1,560894,-1,111433,-1,-1,946202,-1,523620,-1,-1,978992,-1,-1,931588,-1,93990,931546,-1,504582,-1,632313,728896,513993,564468,265644,-1,467906,-1,-1,-1,-1,295602,606681,906064,-1,100913,61528,159865,-1,-1,377281,304834,32457,-1,-1,-1,-1,346041,-1,18370,-1,501735,-1,801449,-1,212780,684967,988032,597468,-1,-1,-1,-1,-1,772285,-1,514942,-1,195636,-1,-1,-1,-1,-1,407208,-1,48053,616914,705952,-1,157871,650574,669527,-1,-1,8952,773036,-1,477017,82191,700722,796945,490220,536889,-1,764264,428288,-1,483850,-1,913223,-1,567532,-1,-1,44630,429083,825313,-1,-1,-1,735920,-1,-1,-1,111494,-1,-1,301267,-1,611451,53445,256205,713074,127393,432798,-1,7550,-1,-1,743144,-1,-1,14150,-1,234285,397827,-1,215833,-1,-1,967776,-1,-1,-1,861504,-1,-1,28241,647504,915334,-1,-1,-1,700046,-1,481888,737121,-1,-1,591546,-1,985520,-1,-1,633253,-1,969381,439476,-1,-1,393466,851168,-1,802616,353494,-1,-1,631979,-1,79632,-1,622926,190398,604080,358033,-1,-1,406534,568048,-1,408185,-1,-1,41690,613655,-1,-1,186778,469476,175330,839377,-1,71225,465917,-1,-1,602101,-1,868463,424822,-1,-1,-1,-1,-1,905986,-1,-1,764680,223049,-1,580954,-1,479160,-1,-1,-1,-1,467153,-1,577575,-1,291068,-1,70745,-1,-1,-1,248205,508523,373261,-1,-1,378715,638411,-1,732698,-1,-1,-1,-1,770972,309324,957968,568588,616204,-1,-1,-1,-1,-1,-1,273057,49750,510224,219532,-1,786427,113456,398739,796252,688012,-1,277509,713518,899260,-1,243486,-1,-1,349628,-1,531141,-1,-1,-1,-1,371297,182276,-1,-1,416345,-1,-1,518545,-1,193379,-1,583577,-1,215697,-1,-1,391200,804687,569470,-1,-1,622574,424077,870444,-1,-1,878303,225454,-1,-1,978852,-1,77978,-1,-1,129495,-1,-1,393637,836259,170473,-1,-1,-1,-1,409380,-1,551246,925667,-1,125969,-1,453334,-1,-1,101931,434649,229094,-1,-1,982802,-1,648295,841238,936378,-1,-1,713096,801616,-1,671565,-1,-1,216986,-1,-1,-1,-1,853066,827345,-1,530180,-1,-1,71214,-1,323532,741212,-1,113593,753371,635426,90596,907570,-1,-1,-1,564412,-1,713750,911347,34995,454978,-1,867194,-1,-1,397240,861052,-1,-1,-1,-1,633434,-1,-1,-1,369535,487066,-1,169309,960297,-1,-1,-1,-1,-1,951921,475470,848294,866264,949739,318403,114652,-1,-1,-1,-1,-1,-1,40937,-1,-1,-1,887338,-1,-1,983791,751024,697727,94068,737664,-1,947914,827159,-1,-1,-1,401673,560681,-1,625114,291830,211336,-1,-1,697636,319466,826418,96641,-1,314889,-1,-1,-1,553773,348310,273426,195751,-1,247799,446158,908195,-1,726913,-1,853690,417086,-1,976434,210298,-1,813133,-1,-1,620753,76276,-1,578364,434910,725710,-1,266905,468677,-1,875851,261457,831070,-1,-1,-1,-1,-1,48037,-1,-1,622082,-1,-1,-1,506037,63658,-1,887269,830445,-1,-1,91718,-1,401706,-1,897832,603696,27581,398557,-1,-1,783120,557670,-1,685822,532893,-1,239361,195349,82267,-1,933983,57828,380475,-1,779658,72568,-1,368250,-1,604087,795072,-1,671427,890504,-1,427111,-1,467573,-1,-1,-1,-1,-1,818922,400069,517433,892391,252846,-1,869611,99932,-1,-1,685191,362733,487646,-1,721251,341419,988180,994662,451155,-1,-1,971694,552055,327444,718472,365036,684404,-1,-1,239228,510283,959242,-1,953366,474761,159725,663598,-1,915117,-1,694648,317105,201565,706095,-1,-1,222484,-1,115254,687947,647750,351022,482508,509757,-1,68936,-1,862431,-1,765335,838999,595259,644156,545271,277625,470611,-1,535098,-1,-1,-1,962490,192036,-1,44244,466810,-1,-1,-1,378169,-1,-1,-1,-1,572345,-1,-1,473245,-1,-1,-1,385818,-1,60916,-1,-1,-1,-1,-1,106885,-1,198773,-1,14905,-1,760537,295813,131968,496998,588428,-1,-1,-1,-1,-1,420301,-1,-1,864485,-1,-1,681295,591727,-1,-1,-1,242040,-1,-1,411703,-1,-1,315966,647075,19198,-1,594580,-1,-1,-1,-1,927321,-1,-1,332484,911294,-1,320745,-1,-1,-1,746460,149105,368829,294769,-1,304913,-1,120719,492348,-1,52732,921980,-1,206944,-1,568728,182534,895027,496591,-1,-1,-1,569503,-1,265602,-1,-1,-1,128647,362996,-1,305709,66748,-1,-1,328880,-1,442964,-1,-1,587732,-1,-1,181206,384743,-1,106458,-1,667109,-1,801877,10993,-1,-1,-1,215550,988083,653258,-1,75677,98379,-1,-1,678661,-1,-1,305624,486523,-1,-1,-1,-1,851966,-1,661340,772151,-1,-1,406988,-1,-1,291807,-1,-1,229229,302791,-1,309666,143004,-1,980162,-1,64312,-1,-1,841833,874452,79931,-1,-1,-1,408824,322542,-1,362370,-1,-1,-1,317151,-1,-1,-1,-1,-1,-1,-1,716623,-1,-1,-1,-1,170208,-1,-1,-1,232183,-1,-1,-1,948464,-1,754032,-1,-1,753047,-1,-1,331316,205401,913375,759385,863505,417324,-1,401303,812041,801862,47074,423776,-1,919297,-1,-1,-1,527265,988398,-1,-1,-1,579941,746388,407473,922774,-1,760112,-1,-1,-1,28060,-1,-1,67518,653055,785831,-1,-1,-1,825486,976058,-1,-1,136964,-1,-1,-1,875093,292805,949584,442757,-1,226043,81696,382451,-1,-1,41900,968115,-1,-1,360991,-1,572328,-1,348901,432703,46158,-1,-1,-1,-1,-1,146651,478912,-1,394533,9221,-1,-1,-1,-1,727255,353402,-1,475509,334032,843818,831674,741772,-1,-1,-1,-1,935354,55018,306458,493280,-1,919808,70955,-1,-1,-1,-1,226426,-1,-1,335977,996720,219296,-1,525885,-1,-1,-1,-1,689551,894318,-1,664114,-1,53782,577284,-1,-1,620180,-1,425038,649103,-1,-1,-1,591694,-1,-1,-1,-1,656784,-1,421429,469568,-1,483455,-1,-1,860704,-1,135269,866242,754883,36437,-1,276872,62761,-1,-1,-1,137106,154922,174576,883882,608251,468095,-1,-1,245049,-1,835716,359268,-1,121326,-1,-1,587944,-1,943278,773980,-1,-1,316108,210512,295307,679389,-1,778274,-1,307480,-1,161840,636829,436196,-1,251040,744877,358440,715215,637452,-1,-1,588711,643587,287911,-1,826049,890544,781071,-1,-1,227075,-1,-1,-1,-1,818016,-1,-1,-1,-1,910454,-1,-1,-1,979683,87259,117677,-1,286042,770272,-1,-1,-1,950412,-1,311509,14,656651,-1,-1,-1,534020,-1,-1,-1,-1,-1,-1,-1,234810,687362,732740,-1,-1,357299,-1,-1,25499,-1,-1,891934,547137,849715,-1,945851,-1,-1,899617,499670,-1,-1,-1,477284,60575,134672,151945,300812,289826,393254,902295,-1,134589,651957,-1,-1,706630,339598,951216,199664,738623,-1,892279,-1,88777,-1,-1,-1,-1,945683,86753,163086,-1,-1,711599,-1,-1,-1,941435,609096,640642,-1,-1,-1,162131,246553,-1,-1,-1,-1,20378,638416,-1,349,-1,-1,217939,699425,-1,-1,-1,665009,-1,-1,-1,654381,-1,-1,-1,368844,-1,137625,-1,229560,45454,945783,658410,-1,61656,-1,870314,-1,278760,949215,-1,39583,405229,-1,129417,-1,-1,5293,221223,986937,-1,303600,452416,119612,-1,598527,908398,-1,842177,627309,899957,346975,633917,-1,-1,601683,410002,-1,-1,-1,-1,-1,881276,161504,-1,948442,-1,-1,-1,5970,425321,968521,-1,619453,149740,345824,-1,-1,219769,217899,-1,982794,830674,909014,-1,349142,674042,806728,524240,270340,-1,-1,97239,-1,-1,59618,216290,-1,-1,110930,-1,-1,275706,702455,342318,-1,-1,638484,-1,120336,-1,-1,-1,-1,-1,-1,-1,543628,272073,-1,-1,-1,-1,882030,880415,-1,213419,104956,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,931355,166305,735665,-1,246222,970222,146964,-1,-1,-1,215685,-1,991340,609956,227732,-1,-1,213211,-1,-1,-1,-1,538668,-1,-1,189720,368625,-1,-1,332407,-1,581807,-1,-1,257572,204057,-1,-1,-1,711430,-1,733272,299275,818853,708719,-1,-1,570506,652320,-1,-1,555400,-1,80453,-1,403844,-1,362067,775834,-1,69236,496131,-1,554246,341571,341781,481121,644295,575503,-1,-1,-1,-1,-1,-1,811198,-1,195583,576071,640819,-1,208805,459305,459008,291514,-1,798733,376848,946898,-1,142875,-1,-1,287087,-1,-1,-1,901457,-1,-1,917002,-1,103203,-1,-1,739429,-1,903000,-1,101248,-1,145412,-1,-1,381528,-1,-1,443423,-1,108356,-1,-1,-1,366576,390684,-1,-1,791502,489727,647705,27175,-1,-1,-1,-1,-1,618300,560005,199785,434205,997224,-1,-1,756141,781803,-1,783170,-1,-1,780371,560653,-1,-1,20996,-1,-1,2996,-1,-1,-1,843891,-1,-1,-1,-1,-1,213280,-1,591878,-1,95803,-1,895936,-1,942265,-1,16647,-1,-1,-1,914999,679084,917106,978407,255135,7196,-1,812211,-1,-1,899999,-1,534165,434777,-1,-1,-1,582450,691637,348222,673600,684065,-1,961617,-1,457173,-1,899330,-1,491081,62418,411222,-1,859973,449533,602336,945401,98817,556134,627709,-1,109697,47756,700470,-1,761362,597467,506527,-1,-1,453137,-1,-1,793248,258179,-1,363297,-1,-1,-1,-1,-1,921461,-1,226699,941908,-1,514763,530606,-1,-1,514104,984014,-1,-1,-1,-1,658142,-1,-1,420406,-1,196653,-1,780912,-1,112400,458953,578472,724619,874461,-1,203189,353968,-1,-1,-1,-1,444627,888828,541653,-1,579532,341783,-1,800023,488811,856991,990910,790734,172890,17872,412195,412403,189908,-1,879364,149460,198283,786963,-1,-1,-1,258725,878158,895651,-1,-1,-1,-1,544885,477499,-1,-1,-1,-1,260641,615955,-1,319828,-1,172588,235977,159782,976562,659873,355195,-1,-1,-1,766573,151070,-1,22800,622444,566099,-1,883658,766911,-1,868078,645755,-1,-1,452444,-1,787475,954854,57010,-1,-1,-1,-1,857029,364303,789531,765383,-1,107221,784161,79577,427903,517573,296909,-1,259947,-1,-1,-1,-1,517087,-1,567698,410323,666382,475835,-1,-1,-1,-1,-1,-1,982016,-1,-1,999686,-1,503096,-1,845032,-1,203186,53230,62574,-1,-1,789691,225867,294917,-1,30082,617814,-1,-1,224552,54108,48853,677512,-1,903818,-1,176070,428720,-1,-1,-1,649903,-1,414852,956534,446259,89237,-1,706768,-1,-1,966932,668152,776352,571415,-1,612148,164049,646114,779615,699002,-1,-1,277646,361037,-1,713877,993142,-1,617766,-1,-1,516461,142842,650672,54859,746663,-1,-1,811559,-1,851399,-1,408930,-1,-1,833614,356637,56128,-1,-1,-1,-1,216469,311709,322433,-1,-1,68220,-1,-1,499212,418159,389206,-1,175285,622594,281349,490395,869491,-1,16554,-1,-1,-1,-1,409681,196457,417260,-1,-1,227819,399507,-1,-1,16524,37998,-1,495903,822009,-1,-1,561290,-1,537453,-1,-1,-1,918162,-1,812327,954312,-1,5860,553112,-1,486210,6819,-1,-1,181672,-1,411610,230955,825072,524266,991473,530587,-1,-1,370634,-1,-1,-1,280119,-1,762870,-1,-1,410435,-1,-1,766184,-1,275806,-1,-1,-1,702526,-1,-1,-1,-1,891275,-1,435994,559029,-1,798033,275898,-1,616905,-1,801337,-1,826395,963258,-1,996598,-1,-1,457682,145720,544512,-1,-1,-1,-1,-1,-1,898637,616324,747560,769781,-1,797432,493067,504007,-1,-1,858143,-1,-1,652076,688919,-1,716830,905763,23731,346428,-1,949638,-1,384278,-1,135442,-1,-1,-1,-1,-1,854417,350018,-1,844313,94480,741988,384686,-1,157647,-1,-1,706621,-1,462373,218846,-1,426712,-1,-1,361151,250144,-1,-1,-1,-1,772339,-1,-1,813400,-1,-1,618887,580591,624540,-1,145578,-1,-1,-1,494210,204132,167880,-1,304514,-1,-1,264554,-1,865920,-1,-1,-1,-1,-1,-1,721837,508877,-1,276402,-1,-1,-1,313710,-1,-1,838404,317067,405374,868012,-1,996782,-1,-1,467473,109758,-1,408382,-1,-1,251523,973399,552721,-1,140198,641594,-1,-1,-1,-1,402946,-1,-1,-1,848694,-1,557802,260422,865006,-1,-1,10567,-1,668955,834233,564444,-1,-1,677896,-1,213405,-1,-1,414581,449735,318054,-1,-1,-1,-1,-1,-1,994984,-1,-1,511141,-1,108524,-1,-1,-1,361585,85716,447548,-1,-1,554484,-1,-1,565504,104195,-1,330003,-1,-1,261195,614465,-1,381675,-1,412362,185516,456132,-1,-1,752703,992645,-1,443634,918676,-1,350611,-1,-1,909554,-1,-1,-1,930608,-1,-1,-1,-1,-1,270057,-1,859805,-1,-1,-1,232167,14612,-1,-1,-1,-1,348480,-1,-1,-1,-1,-1,676881,196385,-1,-1,-1,-1,942608,704065,134157,-1,-1,553625,-1,-1,350907,-1,-1,-1,828626,638217,971207,-1,53207,-1,-1,503961,708732,33261,880208,826670,-1,-1,358744,-1,698735,-1,851960,96795,-1,575996,938710,-1,-1,704101,-1,-1,94183,-1,689540,146825,-1,-1,-1,533578,-1,892555,-1,-1,-1,201980,-1,-1,139986,767073,-1,-1,828563,-1,-1,621001,-1,423902,238332,126086,186056,724727,52605,544426,-1,-1,-1,85464,-1,972626,-1,-1,-1,-1,414277,-1,92310,-1,390560,-1,61069,-1,169677,-1,-1,95086,29546,-1,949811,-1,-1,-1,60843,-1,126509,266991,-1,-1,-1,-1,281968,694874,73536,893224,-1,527307,-1,356644,588577,943785,71540,166905,700489,-1,184012,976306,-1,844019,481288,-1,-1,897402,733440,889517,204969,222365,823802,436964,29002,761223,163521,468222,-1,-1,96965,-1,-1,947282,464835,422465,422319,-1,199610,-1,843887,145045,-1,191388,-1,-1,637048,193503,-1,-1,-1,749585,535415,348969,-1,-1,-1,441461,-1,766030,-1,213915,-1,560327,358839,-1,959883,-1,902117,-1,-1,262980,-1,-1,330133,-1,334391,-1,-1,-1,-1,-1,-1,374280,-1,965309,680440,-1,547424,375223,105549,948250,837790,214425,65,155538,314302,501524,-1,378882,-1,843602,-1,395781,824637,778634,-1,929394,155505,-1,-1,797478,-1,-1,788920,420037,-1,275741,518618,831405,-1,267839,869713,258025,4333,-1,322213,-1,-1,-1,510406,-1,28828,548966,299119,221116,-1,-1,-1,-1,231724,-1,401857,-1,-1,575007,541186,24482,888080,-1,-1,-1,-1,845635,902128,731119,854036,-1,951420,855581,-1,608219,144676,803526,-1,-1,13609,236497,615616,-1,-1,447239,737724,947985,435691,-1,768650,854181,-1,542926,-1,479213,120316,-1,-1,294312,-1,-1,195722,-1,-1,472365,-1,-1,-1,814168,-1,-1,174126,235868,701875,29987,997000,524762,-1,-1,727671,-1,235695,-1,-1,-1,-1,287325,-1,-1,872117,-1,673100,-1,-1,880359,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,956068,481160,62276,-1,340358,-1,-1,-1,-1,-1,254403,553567,-1,185660,-1,954062,-1,741059,-1,-1,363807,635306,549111,-1,543984,555241,423464,-1,97651,139292,-1,516075,720685,234856,-1,799616,317663,-1,-1,764836,481608,-1,486380,-1,-1,-1,588184,-1,-1,-1,826499,667858,-1,112899,170471,763284,-1,552439,820818,-1,-1,241697,-1,724283,50461,-1,-1,339665,-1,-1,255620,-1,443882,701148,932967,523246,714696,253054,-1,893336,702416,604376,-1,649351,877999,471990,-1,941252,242455,-1,-1,156741,-1,169661,519793,380308,69686,131088,-1,-1,251169,306673,-1,560195,609508,-1,87729,-1,930911,158394,98005,100360,556058,557615,-1,-1,-1,-1,-1,544999,55025,-1,996431,-1,-1,-1,-1,-1,-1,224833,-1,364938,151609,962011,-1,608848,572922,-1,23515,624857,910992,-1,-1,811517,-1,845891,963632,-1,-1,-1,571838,160161,79042,82651,734428,154020,-1,-1,9746,-1,-1,117538,-1,833841,-1,-1,-1,571774,-1,998735,-1,-1,904912,-1,-1,29146,940829,511099,-1,723342,278009,70495,-1,423653,780794,-1,-1,444729,254319,-1,507738,899453,451965,-1,-1,-1,-1,53870,995709,-1,772154,-1,344626,-1,832498,-1,-1,137088,-1,-1,136774,468819,882022,663641,33096,70001,-1,-1,-1,-1,483418,-1,547405,948620,105798,-1,511020,278926,-1,-1,475812,993785,637810,-1,-1,-1,-1,-1,-1,449671,497039,729842,-1,-1,772809,-1,595720,-1,-1,407161,-1,302851,-1,726401,42289,-1,571180,-1,719138,-1,445664,-1,-1,-1,363603,417946,242407,972745,356925,843300,-1,500893,-1,-1,-1,-1,-1,-1,132719,8655,526553,47505,736541,687763,202178,-1,-1,465069,-1,342023,201440,-1,139077,368075,211303,-1,-1,702404,-1,-1,-1,-1,921328,463379,-1,-1,402541,-1,777994,-1,-1,-1,741446,-1,310944,-1,196476,-1,-1,6719,-1,-1,-1,394162,710542,100016,-1,-1,369359,273170,-1,-1,951276,922054,274666,-1,-1,-1,-1,-1,-1,-1,925634,377513,940651,172760,609000,-1,370094,-1,-1,908656,793884,541590,-1,-1,229161,770635,-1,576550,138833,-1,882620,155328,-1,867616,-1,-1,725339,-1,312269,622993,365986,-1,401568,-1,968537,-1,-1,963723,946790,-1,-1,343550,-1,-1,127701,541273,115312,220534,477720,-1,104840,121562,556135,222884,-1,43788,748830,69874,-1,662883,791617,-1,148668,-1,-1,-1,705106,675722,227734,-1,226472,-1,-1,-1,-1,548172,610334,660618,755064,571897,-1,-1,-1,805421,986403,-1,540015,-1,660345,-1,-1,123361,-1,-1,-1,-1,235255,-1,-1,957454,-1,-1,-1,-1,806096,-1,-1,696373,931258,-1,-1,-1,877498,-1,60568,667248,-1,657556,-1,389686,779901,426827,218531,403465,916896,-1,-1,964375,736315,-1,816872,909200,431835,-1,130155,-1,-1,261734,-1,-1,505677,-1,497923,-1,-1,534496,972770,506470,-1,-1,379071,332123,730439,-1,-1,-1,-1,274561,-1,573674,-1,878550,697302,-1,978911,-1,778887,-1,-1,700724,193657,589033,266663,-1,583011,798041,-1,607205,-1,661776,189405,-1,570147,350179,-1,-1,388791,71963,-1,-1,-1,704033,-1,-1,-1,-1,801804,-1,-1,-1,-1,101305,22863,-1,-1,-1,257247,299308,-1,968501,69133,-1,-1,-1,-1,976887,502545,789260,-1,893815,-1,582810,-1,-1,396494,-1,118248,-1,-1,-1,-1,-1,615354,-1,526900,-1,304344,808585,22766,556829,71434,-1,514786,256778,186733,-1,396780,810098,-1,194377,879469,-1,-1,227225,829267,-1,-1,110155,-1,777196,763965,-1,-1,98139,-1,-1,-1,-1,34775,838079,-1,-1,-1,-1,117903,-1,-1,-1,222574,112413,152911,-1,-1,40424,439926,-1,-1,326539,220515,-1,-1,988707,732068,-1,-1,188267,-1,540036,314441,377169,186793,179012,-1,-1,463853,24914,-1,110294,-1,-1,525031,-1,-1,898787,-1,193097,-1,40162,-1,-1,82644,83583,995830,-1,-1,-1,-1,-1,-1,-1,-1,259085,613174,-1,-1,552798,320741,736110,-1,486669,-1,119591,-1,319107,-1,726633,975577,506142,219118,311618,206358,-1,51333,-1,-1,-1,-1,-1,-1,635565,612996,635954,-1,-1,471246,262504,-1,561619,-1,701246,-1,-1,206986,136125,2221,225691,-1,-1,363037,-1,393142,618613,-1,918689,477522,-1,-1,-1,-1,-1,-1,-1,-1,-1,71548,552105,-1,-1,834910,-1,-1,-1,-1,380947,-1,863729,211506,-1,-1,285303,937448,-1,600521,-1,-1,965250,-1,-1,179995,-1,313704,-1,568961,-1,-1,535196,-1,425317,-1,412842,427770,434669,235354,278547,832051,-1,-1,166627,554366,967284,1934,661381,-1,477039,-1,-1,-1,288317,862214,64921,-1,558365,-1,-1,-1,631466,446959,778087,35506,-1,152472,-1,-1,640985,974134,333992,-1,-1,-1,-1,443698,40092,-1,573816,-1,-1,608809,-1,-1,489241,816463,366864,-1,3623,846032,-1,57226,-1,496777,-1,-1,-1,-1,-1,-1,-1,-1,-1,998259,571999,774566,-1,972889,-1,-1,354645,562740,-1,599967,831042,756621,993866,-1,-1,-1,-1,120945,-1,343701,-1,106652,625180,850439,-1,402432,592385,163345,90096,-1,-1,-1,239586,937640,-1,111978,445222,-1,-1,-1,-1,969323,900078,-1,999951,580273,276893,783476,137351,812721,-1,29827,-1,214671,197353,715776,282236,486821,836773,878820,961320,-1,591572,960497,617270,55617,-1,612805,911926,-1,-1,-1,-1,-1,-1,11011,85385,990471,176549,-1,832106,625888,818287,-1,472534,-1,-1,543596,-1,-1,-1,953176,662599,-1,-1,-1,-1,342929,340198,-1,707436,73604,-1,865666,-1,423184,-1,-1,-1,-1,819026,-1,-1,248535,410285,-1,432209,946548,870324,-1,553418,187000,-1,-1,-1,-1,965139,825735,-1,-1,-1,-1,602038,-1,-1,347665,613134,955494,-1,727550,131645,-1,795419,953503,884285,-1,910216,158119,922608,328023,558609,-1,5362,-1,883661,335149,-1,-1,418204,-1,-1,-1,587065,388837,289149,-1,-1,-1,-1,479274,-1,386903,360053,-1,-1,10452,624188,197695,-1,277920,-1,-1,972442,662451,-1,-1,-1,-1,878755,-1,645898,-1,-1,445285,-1,319775,-1,-1,267206,702333,403919,660466,933704,891367,10047,-1,654429,-1,706895,74987,-1,-1,749634,334075,354964,958792,-1,963788,850179,390761,-1,-1,52809,352712,-1,197474,343295,292626,60435,-1,435431,642804,95813,-1,-1,-1,-1,-1,822743,424554,344687,-1,383257,-1,-1,-1,-1,-1,617469,-1,779798,-1,684667,-1,-1,-1,-1,-1,-1,642599,-1,968575,-1,810075,-1,-1,-1,-1,-1,-1,-1,-1,-1,371900,-1,604980,-1,850930,-1,982028,-1,-1,-1,531670,667773,364634,-1,451179,-1,710640,-1,-1,-1,399379,-1,970468,-1,-1,-1,594106,212273,563929,929868,-1,-1,-1,106604,-1,-1,900091,236298,924716,353254,692810,-1,960546,373521,-1,-1,-1,253777,-1,124024,-1,431126,433659,695013,-1,-1,55759,427826,-1,236549,673416,413134,-1,-1,-1,-1,-1,-1,763422,-1,-1,-1,-1,923473,275871,260810,-1,-1,-1,-1,872767,-1,-1,373754,302674,-1,-1,-1,347966,-1,-1,172574,-1,-1,501828,-1,517638,152895,549491,-1,380389,-1,-1,-1,140939,4553,-1,446243,-1,-1,373765,585927,-1,-1,-1,458701,343492,511761,543303,424915,-1,-1,-1,311346,55370,944104,516887,-1,-1,408547,-1,-1,242449,-1,-1,-1,240029,250711,-1,-1,77094,-1,190558,333982,317951,-1,-1,-1,-1,610878,701310,698873,-1,272078,-1,175167,-1,-1,-1,418814,981540,491498,222240,-1,149519,-1,-1,146752,-1,-1,-1,582371,708536,878297,845323,85314,-1,-1,-1,-1,25028,71488,-1,-1,-1,-1,-1,-1,644930,-1,-1,607643,554584,-1,-1,-1,-1,-1,315182,171644,-1,-1,717593,-1,-1,-1,921498,-1,-1,230317,-1,-1,46808,204923,-1,78451,765968,233837,-1,-1,-1,350637,-1,999406,368087,714247,974949,999370,-1,-1,-1,201739,-1,-1,-1,63698,-1,-1,612999,253716,322481,927014,-1,-1,-1,99961,-1,-1,-1,-1,744044,-1,-1,-1,179912,-1,-1,842621,764203,-1,-1,272394,-1,-1,555926,663465,51225,386749,-1,777475,-1,975954,472191,-1,-1,-1,-1,342008,-1,-1,-1,716244,547488,533569,-1,276314,230,-1,-1,311940,-1,-1,-1,156985,557998,-1,453730,-1,-1,-1,-1,676500,3892,-1,-1,708602,697398,586274,-1,-1,-1,-1,394255,808130,687759,-1,157204,-1,-1,612556,433687,-1,574086,766731,-1,197865,37738,184220,-1,349956,833542,682686,395774,332946,898719,-1,983829,-1,527282,285463,678282,646369,-1,191349,403978,-1,-1,-1,552613,-1,10712,292553,730251,785382,-1,-1,638688,600423,-1,160457,-1,116590,-1,556208,-1,-1,234376,499808,959261,205352,-1,847041,-1,-1,-1,-1,-1,-1,357730,210278,808430,298997,41135,698953,59772,933272,245651,-1,575927,-1,682924,74155,-1,-1,888786,75337,747334,-1,-1,-1,-1,494286,-1,-1,-1,617748,-1,-1,-1,-1,868481,-1,-1,822774,-1,216090,-1,951102,-1,-1,60609,88315,656858,-1,811294,-1,248679,898764,536698,-1,323856,-1,-1,856728,241737,-1,-1,-1,218332,-1,133412,-1,-1,83679,-1,705691,-1,655722,-1,-1,-1,-1,-1,416541,765946,-1,-1,652727,-1,1158,721913,126197,-1,-1,8197,-1,-1,-1,750481,697546,984973,-1,926470,-1,-1,-1,-1,719495,838517,314239,-1,-1,-1,172456,-1,-1,864593,-1,583532,547444,572470,-1,785118,-1,877258,262854,178358,-1,101855,466007,554418,-1,-1,849510,558912,-1,134950,-1,-1,619063,-1,-1,-1,-1,796904,-1,680725,555380,265723,-1,918088,-1,-1,832238,-1,384707,-1,616804,469197,89530,-1,-1,912447,-1,-1,-1,-1,497694,-1,260079,286128,222855,526765,132932,489537,850580,-1,-1,242322,-1,247549,-1,-1,744242,-1,237393,362824,-1,475190,-1,664602,800603,-1,255268,363985,318282,561667,758790,-1,-1,-1,295957,-1,-1,30110,-1,298828,-1,295773,-1,447507,250867,470483,-1,28438,-1,-1,959150,-1,-1,196485,-1,542574,-1,241457,-1,-1,-1,-1,-1,-1,-1,80956,426081,473314,651619,-1,141041,176638,-1,-1,595730,122106,-1,497519,-1,-1,-1,101590,461832,-1,-1,383039,747053,13401,-1,-1,-1,-1,374888,-1,-1,-1,470564,-1,813634,-1,-1,-1,180575,364449,-1,-1,-1,486973,31653,289112,-1,-1,-1,-1,632024,844980,-1,43510,-1,-1,204635,529505,151303,777778,400604,194674,-1,357607,406304,252277,-1,516512,634022,-1,-1,309079,-1,-1,-1,-1,-1,-1,-1,664148,605352,-1,-1,-1,-1,-1,763447,295792,-1,-1,-1,-1,385526,-1,-1,-1,977216,-1,931166,-1,-1,937471,-1,-1,974310,-1,-1,-1,587659,158869,-1,397106,-1,307882,476642,-1,428550,852256,515842,679999,392637,274492,516416,-1,-1,-1,966850,-1,163915,-1,-1,-1,62222,-1,96962,231513,-1,-1,-1,-1,-1,867113,-1,-1,-1,-1,-1,766673,-1,-1,-1,-1,-1,972087,626930,947320,821835,-1,-1,-1,622415,-1,424529,185727,-1,-1,-1,-1,733968,567029,-1,-1,139979,799190,-1,-1,688885,69382,-1,-1,869753,853555,-1,774222,584838,-1,-1,957043,384684,767306,-1,906666,-1,11772,149226,-1,-1,648691,259320,-1,-1,-1,333907,-1,-1,346792,-1,-1,584280,-1,587915,-1,-1,-1,-1,920622,-1,-1,-1,892300,-1,-1,666301,-1,-1,65783,-1,628405,441631,170517,929977,465908,488320,-1,930347,-1,-1,77690,-1,319690,-1,-1,165287,465159,591087,-1,-1,-1,-1,-1,-1,-1,525062,-1,428341,561899,-1,667122,315961,700787,-1,-1,-1,509711,469186,-1,333926,-1,-1,95848,-1,997615,886055,51707,-1,268416,-1,221004,-1,-1,931029,-1,266937,-1,-1,953915,33163,-1,-1,990515,981692,-1,-1,-1,480721,-1,-1,-1,-1,645459,215112,364539,-1,-1,528357,-1,-1,-1,358318,-1,-1,-1,822493,-1,285684,-1,-1,-1,-1,686475,51252,376235,-1,-1,17394,356646,705463,-1,972669,590307,888237,863090,-1,332883,-1,902275,775072,-1,230036,-1,562490,898707,852645,606531,-1,101798,-1,852184,419022,-1,-1,717392,-1,-1,400686,-1,-1,-1,-1,120192,-1,719400,-1,721020,268099,655042,224420,-1,-1,432440,-1,941610,162836,-1,577002,29165,-1,759513,-1,-1,-1,-1,-1,214453,-1,669213,923448,-1,-1,-1,106590,-1,-1,756260,-1,-1,951409,-1,-1,401169,429191,-1,-1,512240,715291,-1,-1,660055,-1,134880,-1,-1,370004,-1,879223,479734,410906,-1,343294,-1,-1,-1,513428,-1,966,-1,-1,-1,-1,139143,-1,-1,-1,-1,951469,-1,-1,-1,-1,367645,-1,855345,-1,-1,470495,753134,157894,-1,231542,354328,964650,994262,-1,-1,750204,-1,-1,-1,623887,886386,-1,-1,-1,-1,88651,-1,253089,-1,967525,504112,-1,926750,60161,221728,68840,863194,-1,184667,-1,576924,-1,662870,-1,-1,651701,-1,981418,854637,77738,80087,304293,-1,-1,-1,920654,-1,35625,673859,472700,-1,-1,-1,599375,626672,-1,-1,920984,-1,-1,797108,839604,849162,835223,-1,-1,343120,-1,-1,824039,324241,641979,769797,563773,250854,910290,-1,438972,-1,922587,284746,-1,-1,-1,-1,406808,876862,-1,421166,-1,228156,-1,973396,-1,-1,-1,-1,636184,823084,-1,588234,-1,660380,-1,177761,-1,948313,201044,248850,-1,423030,-1,-1,-1,621197,915966,-1,-1,-1,-1,-1,-1,64918,230805,395461,-1,995539,977381,174234,-1,500817,-1,-1,-1,-1,-1,-1,815307,946011,572999,720395,699140,463120,496645,94990,484056,-1,-1,236496,-1,-1,366085,-1,850921,-1,378777,696204,-1,907441,817841,940115,-1,190801,-1,44834,87579,-1,-1,618141,623531,-1,-1,-1,163460,526494,512265,588021,737302,810503,-1,-1,-1,-1,-1,181897,915927,-1,587565,896821,-1,254907,716176,780086,-1,973434,-1,176498,-1,-1,368957,-1,521376,-1,-1,-1,212529,707324,-1,668947,493921,-1,568033,747,-1,-1,820080,871094,690501,918091,468796,456632,-1,364994,-1,-1,-1,-1,-1,50992,326823,-1,386944,946667,708703,-1,-1,-1,-1,-1,-1,-1,-1,-1,829674,-1,-1,2235,295655,-1,-1,377081,210579,-1,-1,-1,94992,521262,336995,898460,-1,-1,-1,306785,178746,-1,125233,745617,-1,-1,137083,875975,-1,703174,72234,949932,121500,525162,-1,301250,901314,-1,661029,-1,13562,-1,511647,-1,907153,-1,-1,295057,856270,-1,-1,-1,491131,-1,763966,728228,154661,200473,-1,-1,404819,413278,449969,150381,-1,-1,812442,972271,594638,36346,-1,-1,768964,351773,-1,-1,415989,-1,323670,678861,835714,-1,739553,753496,-1,-1,-1,-1,340439,867967,-1,298346,182461,-1,320598,-1,676870,988325,261424,-1,400565,491755,-1,-1,373192,-1,-1,-1,160432,279375,-1,610938,-1,693177,-1,610349,-1,-1,543222,-1,435373,292631,-1,807978,-1,526020,729741,-1,-1,-1,-1,58986,562482,37135,873019,-1,947524,618488,-1,-1,11800,381570,146466,559241,-1,-1,852174,291952,-1,-1,-1,604023,701435,325367,69402,-1,185774,116657,979378,907674,-1,-1,-1,52885,-1,-1,323577,707581,359389,-1,-1,4734,862373,-1,-1,-1,159707,675987,-1,-1,156492,489312,913666,-1,-1,-1,516354,-1,-1,318569,-1,-1,639568,802824,-1,187857,411953,-1,-1,939438,7201,-1,-1,-1,-1,-1,610071,-1,-1,832602,701693,765717,-1,-1,-1,664370,437064,949901,744281,-1,656341,-1,-1,924401,40629,160350,923686,203877,-1,633937,-1,-1,607968,222852,-1,-1,-1,285853,-1,-1,-1,-1,-1,-1,425936,-1,-1,-1,887927,-1,371520,-1,788890,383259,614678,685136,-1,919026,834747,84765,947198,817208,-1,-1,-1,154584,267184,753153,111135,22475,-1,945543,-1,494380,85481,-1,868586,-1,260320,-1,853612,137359,-1,384286,415699,-1,-1,208794,144635,965323,836216,-1,722101,557099,255690,926043,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,184636,-1,97869,563013,-1,-1,923191,748927,-1,282054,830347,-1,273985,688295,-1,-1,938113,478266,-1,104388,-1,561210,-1,379965,84526,-1,892848,-1,-1,357176,-1,526092,543059,-1,757966,715232,-1,-1,305691,-1,275369,-1,-1,347479,-1,42494,-1,634396,702963,492812,704030,-1,317980,-1,-1,-1,512022,815787,858820,72439,747779,-1,42844,-1,852883,828251,19576,-1,-1,-1,281063,962178,410572,302332,-1,-1,474707,-1,-1,817552,-1,-1,21619,-1,-1,105830,442324,-1,-1,879001,303835,995772,618154,-1,-1,-1,700011,945706,402897,-1,-1,366651,688821,620524,243136,-1,-1,463365,795696,288210,-1,-1,979824,17791,636175,882088,257453,-1,649853,257281,-1,967696,22015,-1,906830,616878,872851,678139,78022,-1,768781,986237,890051,335913,-1,-1,399960,506688,660955,535613,-1,-1,988111,128126,358852,731085,575359,-1,143543,-1,885186,-1,-1,-1,938269,302410,-1,976756,-1,-1,-1,694423,289383,-1,-1,-1,-1,642261,-1,-1,-1,-1,967530,768875,-1,-1,-1,-1,-1,-1,907028,-1,238141,761218,-1,-1,420883,39220,600871,213480,-1,-1,356509,-1,877865,73213,170348,-1,593517,490207,-1,268896,854572,-1,463566,739745,769563,-1,602004,-1,-1,-1,-1,193861,990860,-1,-1,-1,-1,-1,3875,-1,460524,237023,-1,664424,97533,-1,303147,461304,-1,-1,-1,665276,-1,64091,125541,-1,-1,-1,364738,80343,314983,298732,277241,-1,-1,-1,332985,577717,-1,575750,-1,212419,849678,-1,-1,429820,508524,-1,-1,-1,-1,143259,-1,258999,-1,-1,682867,-1,-1,985570,-1,-1,-1,-1,-1,-1,242454,407036,-1,-1,616038,-1,568346,-1,-1,-1,-1,844994,242203,908209,194591,940740,-1,-1,658454,-1,694163,826334,170931,-1,-1,-1,985023,-1,138821,308048,-1,-1,-1,829279,-1,-1,-1,-1,869108,-1,189868,-1,-1,-1,-1,-1,588405,671086,-1,213460,253574,-1,17897,-1,779129,6537,-1,-1,950557,-1,-1,97119,-1,-1,132583,852088,-1,760747,-1,997898,-1,-1,21983,160764,-1,-1,510249,639515,-1,189695,-1,-1,-1,65328,-1,722816,74667,842308,366180,770543,-1,-1,609525,642817,243280,76252,537139,889783,612269,-1,395577,-1,888670,-1,655807,-1,184522,507465,-1,-1,2783,-1,-1,-1,-1,-1,-1,-1,-1,-1,768892,-1,-1,907250,-1,903044,824352,43688,207416,-1,-1,-1,-1,997870,-1,496318,-1,114998,-1,-1,643644,-1,703102,-1,-1,-1,-1,485195,797289,-1,635201,-1,-1,-1,-1,960438,32453,999541,179701,-1,986899,767718,-1,-1,-1,-1,-1,834864,152197,464320,-1,-1,-1,-1,-1,-1,132461,883095,-1,-1,-1,-1,707573,-1,-1,-1,-1,796208,582632,885837,-1,-1,-1,-1,239659,224928,-1,954425,243419,247785,-1,-1,-1,-1,-1,5369,-1,359575,-1,-1,876806,525825,-1,-1,983281,-1,-1,-1,-1,655372,-1,358345,927023,506478,-1,254545,-1,228071,899930,-1,-1,-1,-1,316373,190089,939079,438653,422200,-1,870641,-1,-1,-1,-1,203812,-1,229336,-1,613978,-1,768276,770967,577273,-1,-1,-1,-1,689223,-1,-1,390044,634929,237947,368816,-1,-1,-1,584807,-1,-1,-1,514541,-1,893045,-1,531235,-1,-1,417342,317528,754692,-1,-1,440690,942073,760148,-1,-1,-1,-1,220247,-1,-1,-1,-1,-1,879978,348367,532886,390814,476790,-1,736090,895167,920436,-1,264194,625396,138781,577512,-1,186416,-1,-1,701127,-1,-1,-1,219734,224128,549856,-1,-1,-1,-1,71772,464196,-1,-1,-1,-1,-1,-1,228077,446310,-1,932844,876228,-1,456348,-1,935182,606002,-1,703822,-1,-1,-1,-1,208786,911462,-1,-1,620877,-1,-1,-1,165777,-1,-1,-1,-1,-1,282837,-1,-1,877533,-1,334526,-1,38425,283255,-1,-1,957899,-1,-1,957919,-1,77263,673958,530588,-1,-1,11263,-1,-1,-1,-1,237062,197361,-1,992001,-1,-1,15265,175407,-1,162827,415472,805166,-1,236296,103154,-1,-1,-1,798097,930773,494386,-1,529499,-1,-1,309279,-1,-1,476327,-1,674175,-1,576562,-1,-1,320775,991527,-1,-1,-1,-1,-1,-1,-1,-1,506556,-1,-1,602837,275471,222144,938227,386224,-1,-1,-1,-1,-1,810920,-1,914247,382547,941768,788254,42961,-1,833615,858254,-1,-1,882427,-1,-1,112844,156011,-1,19939,165665,-1,702868,825270,-1,110612,145196,-1,-1,629072,685021,565576,-1,-1,532387,-1,102886,-1,605317,19258,43039,-1,-1,-1,785028,-1,85028,852402,-1,707071,468400,-1,596589,839968,-1,776649,-1,441797,905902,374133,-1,-1,108694,-1,554344,124362,722504,727542,-1,503126,880418,-1,-1,697154,-1,-1,-1,-1,-1,933505,438718,-1,-1,-1,-1,756453,-1,-1,-1,-1,-1,83215,693286,221698,-1,586697,580319,646800,91376,-1,394934,-1,330737,-1,508287,848252,-1,702139,27700,220187,757983,818977,838158,351382,-1,60441,-1,387499,-1,229862,526709,11348,448933,539410,-1,-1,-1,975875,409766,-1,-1,841628,982818,-1,-1,-1,-1,452506,293337,955103,239251,224429,-1,235244,940856,257458,-1,695121,-1,-1,337685,-1,-1,8941,837817,934032,-1,-1,983333,-1,-1,-1,970118,965461,307748,-1,565239,-1,735966,582028,577246,-1,369157,-1,-1,-1,751359,148181,150159,415348,-1,139655,493087,-1,-1,-1,63586,-1,-1,136145,753161,760653,843812,437608,808681,-1,680494,230574,339729,933083,716457,229790,-1,745103,7724,-1,-1,807588,-1,-1,-1,432739,542795,-1,529623,447159,817149,-1,839263,-1,887700,993345,944668,993709,844092,1472,491350,-1,-1,-1,-1,-1,407117,-1,810726,-1,-1,279197,959272,-1,343800,-1,-1,111592,-1,838362,-1,-1,-1,-1,-1,-1,850056,125770,240913,648500,425180,754324,-1,-1,-1,276391,-1,-1,-1,-1,-1,-1,252001,-1,86408,-1,-1,424721,-1,253564,-1,546189,-1,551700,-1,40888,-1,935315,-1,380353,308829,235030,-1,-1,-1,756790,-1,-1,-1,-1,-1,336020,-1,841491,474772,130524,647385,-1,674304,791720,732370,-1,561804,626834,-1,-1,-1,-1,248520,801389,466590,-1,518835,-1,293138,523081,508969,970380,434356,163127,764744,478335,424574,477066,-1,90533,-1,-1,-1,-1,-1,948545,-1,279196,-1,-1,-1,183892,112090,509338,-1,802159,761805,869276,-1,194917,-1,-1,-1,-1,783500,328012,-1,-1,289655,-1,379211,-1,-1,-1,940768,-1,247967,472603,357124,54914,-1,839984,878588,-1,-1,-1,723122,812468,69052,916024,490712,-1,-1,-1,-1,-1,-1,693777,585410,-1,-1,342928,-1,828544,-1,-1,-1,621581,-1,-1,642788,-1,837305,329228,241323,-1,958913,-1,-1,-1,927268,597972,-1,-1,722076,-1,642213,-1,292040,173726,538777,-1,273661,29336,-1,646451,531911,532112,920906,604222,-1,690066,-1,-1,82798,-1,603046,561406,536001,582980,-1,890801,25596,720787,140005,413998,150825,-1,-1,977424,-1,128858,-1,98040,321328,44959,-1,-1,-1,551341,-1,974584,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,183590,-1,-1,513568,563676,-1,-1,873626,-1,752034,999358,-1,-1,170708,-1,-1,-1,630377,549894,997994,967310,-1,237558,-1,176009,-1,-1,553304,-1,298141,-1,-1,887058,195422,-1,-1,953044,848081,200536,-1,826337,621968,821225,-1,-1,-1,320232,493709,244585,4198,-1,-1,986176,264488,-1,-1,85664,612130,-1,407960,-1,649167,124502,418596,-1,-1,-1,342575,-1,471952,-1,422625,768165,-1,-1,-1,599108,34303,-1,771402,785726,-1,-1,-1,846314,692198,244402,-1,-1,-1,-1,-1,872634,-1,47884,-1,-1,-1,465707,154687,438817,477500,-1,-1,-1,-1,565553,646742,288893,272056,-1,25725,-1,-1,72953,-1,741894,-1,-1,523654,-1,786862,330389,-1,267749,250734,213813,-1,957669,-1,530064,-1,400560,-1,-1,-1,454099,-1,949004,246666,706518,105839,-1,-1,-1,313553,512960,946048,43220,-1,758857,907103,-1,564536,-1,-1,-1,734091,302327,84355,-1,-1,-1,-1,-1,-1,-1,-1,-1,660709,-1,-1,84647,-1,-1,327234,577463,4393,290075,-1,-1,-1,842399,-1,-1,495587,289921,95695,-1,-1,381189,-1,57956,60237,839370,-1,-1,112892,753410,-1,-1,-1,-1,-1,437436,736283,91227,121134,421281,-1,97100,447870,-1,-1,-1,-1,509139,-1,-1,-1,-1,-1,-1,946643,-1,893239,-1,-1,-1,414358,603486,833032,-1,-1,-1,-1,-1,265996,187929,981733,607222,27594,-1,-1,333036,588919,678975,-1,453270,-1,113366,925281,868995,961624,100124,-1,-1,-1,-1,137695,673975,558893,895499,-1,-1,212897,191199,-1,648051,-1,-1,988041,226465,-1,432836,-1,489931,309471,-1,-1,145388,-1,546502,-1,480657,-1,252514,-1,96640,771866,459851,-1,-1,540625,940265,874069,104496,70298,642414,-1,-1,647364,-1,-1,-1,-1,311323,-1,-1,-1,-1,979917,-1,-1,152445,-1,367974,-1,-1,722462,238138,516337,-1,-1,926452,-1,-1,393151,-1,453993,893709,949438,267026,1109,842831,-1,-1,442994,-1,-1,-1,-1,-1,-1,154934,-1,-1,-1,-1,426469,763330,-1,307930,148235,554767,-1,128599,-1,25443,-1,-1,-1,-1,301966,793217,-1,927000,-1,-1,-1,-1,-1,-1,-1,659996,-1,448461,-1,-1,-1,-1,767354,-1,332403,-1,917191,-1,-1,-1,-1,-1,-1,950142,668009,213124,-1,-1,362682,163602,476299,-1,-1,808923,-1,422137,615054,505082,-1,-1,-1,35657,562236,703533,-1,-1,-1,-1,220120,-1,337006,-1,-1,-1,-1,-1,511875,845697,-1,-1,-1,475975,257207,328704,629879,104271,935982,112814,349689,954775,688404,-1,217257,88910,-1,943377,796940,-1,-1,181292,956740,-1,968965,319222,-1,925871,-1,-1,-1,-1,895684,789166,-1,-1,706255,-1,889065,-1,-1,688959,-1,-1,977603,-1,135200,983263,-1,-1,229300,-1,505165,-1,-1,36051,-1,712406,-1,627492,690265,674689,21716,-1,925454,-1,-1,39472,109119,-1,531624,515049,80412,187311,-1,941458,-1,237459,-1,-1,-1,-1,-1,-1,134838,975538,672965,441843,-1,-1,499327,465303,-1,840888,215296,-1,-1,-1,776418,-1,-1,-1,233663,-1,-1,96749,-1,-1,-1,32190,-1,-1,111802,-1,-1,205397,-1,-1,963505,28744,-1,-1,733093,-1,-1,875837,941877,810399,-1,-1,-1,477878,-1,-1,840771,178009,-1,-1,560074,677623,-1,-1,-1,463380,-1,315091,238637,981361,244699,671051,881220,-1,-1,432721,-1,-1,-1,-1,-1,-1,436094,-1,988786,-1,563943,115469,501002,797573,-1,-1,65942,-1,-1,910534,549631,-1,-1,326838,-1,-1,551964,-1,79636,846421,-1,307862,572006,-1,-1,-1,-1,-1,-1,201390,-1,248531,522693,-1,-1,-1,145377,520227,747494,-1,226728,-1,654279,794888,250730,688111,-1,460165,-1,-1,967225,739612,891619,403266,-1,-1,877449,117684,519160,-1,637497,711481,728335,-1,-1,-1,571117,-1,-1,680882,520930,-1,589039,-1,-1,689821,-1,376749,63626,-1,883977,628740,-1,857798,-1,257486,-1,-1,484220,277763,-1,-1,-1,-1,-1,378924,12661,-1,832271,-1,659246,413150,-1,539813,381835,457974,-1,781563,621085,-1,487914,-1,-1,288027,745630,-1,-1,-1,637877,551070,791039,772075,967213,897191,-1,464939,-1,984616,-1,963343,-1,482552,-1,-1,853430,-1,284807,539660,-1,662825,-1,408580,700496,119410,-1,58025,-1,-1,-1,-1,-1,-1,-1,-1,632938,511852,-1,171922,397316,-1,813814,-1,-1,900861,-1,965839,-1,891785,271994,216926,-1,966134,-1,266631,-1,-1,57529,-1,164417,-1,450894,-1,209174,-1,356933,979314,262584,-1,-1,213427,-1,792375,-1,-1,836379,801126,-1,-1,522805,118791,458983,807719,-1,367617,978315,-1,-1,333112,821921,-1,894587,-1,291021,887014,724174,-1,650691,610964,55004,-1,-1,-1,581489,-1,513296,94119,241993,-1,757940,440759,-1,-1,-1,498337,-1,-1,539147,-1,674342,-1,-1,184729,867705,107990,-1,-1,-1,153867,477015,313930,740772,92730,859290,-1,-1,510230,855227,946020,-1,317956,-1,130808,186238,-1,433769,377850,120331,802747,69839,-1,-1,-1,-1,125229,-1,-1,3494,380447,-1,-1,-1,-1,-1,-1,-1,719594,115696,-1,313257,611493,-1,108418,84076,-1,-1,44032,-1,750305,-1,470654,531700,-1,-1,-1,-1,-1,-1,653034,-1,655486,-1,21436,-1,-1,-1,325700,-1,-1,-1,-1,-1,-1,-1,477895,-1,973625,-1,507649,229879,-1,991312,281743,72092,75007,887909,-1,715344,538408,-1,854428,-1,910015,-1,131964,-1,-1,-1,631728,668003,-1,595600,781,-1,-1,304348,-1,415309,689949,-1,-1,-1,154566,-1,682994,-1,-1,331519,-1,947831,-1,209585,-1,-1,-1,-1,-1,-1,319501,-1,5427,-1,520707,50374,-1,-1,-1,-1,-1,465730,548280,-1,-1,63449,-1,-1,-1,51528,223419,-1,681205,-1,195859,-1,-1,335821,442853,917579,-1,433194,463336,-1,-1,-1,253874,-1,524873,-1,571378,-1,159962,-1,197154,-1,968764,316202,-1,-1,-1,295320,-1,422427,579138,867247,-1,-1,-1,548445,-1,358830,-1,-1,512499,2576,461370,-1,314198,-1,-1,92465,744298,438541,-1,-1,651580,811556,92711,-1,433776,313896,-1,-1,-1,-1,500423,756417,-1,-1,924576,-1,728260,102674,-1,-1,-1,-1,271811,205107,-1,-1,-1,461864,32729,-1,-1,-1,-1,-1,-1,760987,757290,405315,948461,522989,835466,-1,18513,830508,-1,-1,118092,-1,364322,560149,184431,385540,-1,933220,-1,868693,-1,-1,-1,965692,-1,-1,-1,470853,716399,224408,-1,116340,-1,937228,-1,-1,99323,-1,-1,-1,-1,-1,49527,702158,408315,812359,12575,-1,735943,-1,-1,568575,-1,-1,-1,244338,-1,-1,635691,-1,-1,813103,153971,618367,-1,78223,469725,347435,117437,933126,790530,426298,676142,321860,-1,72706,-1,994635,985183,-1,-1,797353,967581,777133,-1,658924,-1,-1,821055,95097,734792,649359,838769,-1,828437,-1,-1,-1,-1,223039,615384,-1,-1,555103,-1,-1,100446,-1,641990,-1,-1,644941,316826,486576,-1,-1,505601,736608,-1,36011,33927,-1,517445,573648,-1,374109,-1,862173,-1,-1,-1,-1,-1,863968,297629,265473,24526,-1,-1,-1,113096,-1,22757,-1,-1,423823,812558,850301,-1,-1,-1,13143,127108,295455,661639,366185,901683,-1,281488,347229,-1,678341,-1,-1,-1,-1,528568,-1,132210,958032,53771,20822,518041,-1,899492,485620,647354,812762,-1,314371,-1,71062,-1,-1,-1,887773,683660,6922,742336,927055,-1,644878,509554,572303,-1,-1,-1,102662,716301,-1,690547,-1,-1,-1,880124,-1,-1,-1,641626,-1,-1,531573,-1,-1,933641,-1,470664,674411,499316,249176,970697,663544,-1,349293,-1,432216,-1,707823,-1,-1,-1,-1,-1,63583,-1,-1,275411,-1,307326,512058,972233,319144,131284,-1,-1,-1,-1,-1,743867,951182,-1,542828,-1,-1,-1,-1,-1,-1,299967,-1,947792,162912,-1,-1,589371,-1,919247,-1,-1,-1,-1,835917,957093,-1,-1,372148,-1,-1,-1,390304,763127,736099,-1,322905,226407,821683,-1,-1,-1,62925,362535,-1,419140,-1,548071,202734,-1,-1,479661,-1,-1,167316,-1,55073,116366,899602,797103,557652,985681,660849,560155,-1,-1,490375,-1,-1,555580,266017,364664,-1,6810,787790,-1,308059,-1,-1,577754,564358,-1,-1,545840,-1,-1,-1,-1,-1,-1,888934,-1,-1,-1,-1,-1,-1,77692,184149,565526,-1,-1,224790,-1,-1,-1,-1,-1,309071,-1,-1,48855,474447,188184,-1,-1,290282,-1,303241,-1,485060,132528,-1,-1,548641,-1,-1,500929,-1,-1,-1,716553,178060,277725,623269,482431,-1,127603,-1,-1,792143,-1,-1,-1,106107,-1,983202,380749,814112,-1,-1,-1,313918,639858,-1,-1,-1,-1,-1,966922,854266,-1,-1,952821,156279,-1,760540,-1,-1,66417,-1,-1,777850,-1,307931,606892,995892,209574,-1,-1,-1,-1,-1,-1,435968,-1,-1,750247,-1,-1,141073,108735,-1,868793,-1,298385,309004,557161,122141,-1,802166,-1,-1,434961,407946,195825,102505,475501,-1,-1,-1,689816,-1,387808,563020,825797,-1,-1,-1,-1,95511,-1,-1,679643,898946,-1,-1,560745,-1,595230,-1,-1,650322,-1,353741,105884,613057,194865,342175,-1,234339,-1,-1,-1,929642,-1,736502,94269,894225,274558,-1,-1,426812,-1,20087,-1,-1,-1,439072,-1,-1,940786,-1,731955,-1,367555,242582,5772,-1,-1,-1,736676,10491,782460,581065,-1,533849,-1,-1,270777,486895,417290,735450,534109,-1,-1,-1,-1,210263,-1,797639,-1,-1,370402,-1,243432,379346,576283,496517,-1,-1,-1,-1,328673,-1,-1,550730,379811,129208,276679,141049,-1,934607,944538,-1,47021,770929,-1,-1,-1,-1,-1,-1,539641,-1,118687,-1,-1,842031,390441,-1,280526,-1,-1,-1,-1,-1,684088,-1,279924,-1,208224,462497,589470,830874,64839,930427,277270,-1,-1,-1,728175,-1,-1,-1,353637,372788,-1,663663,-1,63123,239440,-1,-1,98483,68700,563073,-1,131084,-1,558732,714096,-1,279508,-1,948068,10230,-1,358756,522854,171675,-1,146127,-1,665682,-1,63922,449911,-1,-1,782389,895699,538153,-1,-1,83592,783871,-1,103526,-1,868771,-1,672108,-1,607385,-1,-1,-1,-1,-1,694336,-1,216098,754480,767036,509042,-1,-1,-1,692221,422636,231477,902089,770462,715537,-1,-1,-1,-1,-1,264637,-1,-1,-1,704306,678902,-1,795630,-1,826770,464343,-1,-1,-1,637332,-1,-1,925537,815984,282729,-1,857053,993761,-1,432320,-1,417423,486155,-1,-1,739342,24629,825984,497817,-1,225480,717228,327261,408056,939675,233936,-1,746251,-1,-1,770275,919041,-1,205702,693551,240449,-1,-1,-1,583171,-1,-1,-1,-1,620284,602443,142792,-1,524510,880789,34623,242365,-1,982544,111971,221481,-1,-1,309925,916838,558647,-1,203664,-1,228004,745286,715235,-1,-1,978036,868563,648852,776669,-1,-1,-1,950258,-1,-1,720217,585365,599790,770168,245836,310917,-1,604408,585503,-1,-1,916058,952924,-1,-1,85206,908688,847600,-1,-1,552048,742515,343237,259037,177187,-1,205844,-1,862521,610329,-1,799777,923349,555149,-1,-1,-1,-1,-1,82604,824651,69029,-1,403242,480281,563548,502276,-1,-1,504315,211941,605477,234391,-1,-1,448011,529016,-1,-1,833448,-1,682405,-1,-1,139678,778473,-1,-1,668177,987498,-1,-1,6891,160112,956968,-1,-1,-1,-1,740238,-1,53127,507839,-1,329411,816167,-1,-1,-1,960902,643150,999776,186374,289104,-1,-1,718949,-1,520712,29816,-1,-1,988852,-1,942626,825065,86604,-1,516844,508855,59879,-1,-1,-1,-1,-1,-1,-1,601177,106397,-1,-1,178831,-1,824788,-1,308506,-1,330384,-1,11210,857561,865518,9645,-1,224258,689440,346933,746607,253136,158969,160795,-1,-1,-1,157863,-1,901912,916748,167192,610116,-1,-1,21767,444919,608190,-1,580413,819547,-1,876529,397415,222901,674168,-1,-1,515364,-1,398036,-1,-1,-1,784580,-1,-1,-1,-1,360628,-1,638912,-1,-1,516437,-1,764305,-1,-1,-1,610270,-1,86075,-1,753351,421357,913350,776798,874705,330388,995332,-1,828097,-1,94220,138662,450118,982526,902184,-1,15826,-1,-1,105656,-1,-1,370431,326510,733030,939332,-1,-1,-1,643413,670984,-1,830218,790630,-1,-1,-1,-1,276908,-1,-1,-1,-1,-1,95945,-1,491135,435465,332442,-1,-1,827401,-1,-1,995877,175676,-1,167531,-1,529057,-1,-1,-1,894565,-1,-1,-1,532184,-1,-1,520636,-1,-1,180264,668643,351112,-1,170781,-1,81225,642883,744672,644408,-1,-1,-1,200500,709418,-1,-1,-1,144130,-1,297521,-1,-1,-1,535962,-1,-1,665002,362508,282381,-1,-1,12531,927869,279876,-1,452053,816926,-1,394333,-1,564691,-1,-1,755850,59738,-1,116485,-1,997883,-1,-1,651316,-1,-1,-1,-1,-1,542843,-1,-1,-1,829813,955846,50850,-1,49771,817524,-1,68851,193347,678270,296278,748583,572501,630963,-1,-1,-1,852681,-1,347824,-1,434030,257648,-1,54991,207127,-1,-1,-1,775662,-1,-1,457101,-1,-1,818364,33997,-1,149780,-1,-1,-1,774576,-1,995723,810096,441747,-1,737710,-1,-1,882861,-1,406425,416397,-1,-1,223545,-1,106333,636025,937058,76055,998556,-1,299085,-1,-1,438119,-1,38994,-1,275571,82216,630023,-1,-1,866203,-1,-1,836076,432990,-1,-1,176546,508024,-1,839693,-1,-1,271005,-1,-1,262950,-1,-1,-1,-1,985606,732099,364364,858963,-1,67853,769116,487344,552621,904562,296576,-1,-1,603289,947532,221616,114932,248742,-1,537536,-1,-1,869960,-1,-1,511408,803273,-1,-1,-1,-1,-1,730561,901064,-1,-1,-1,-1,303630,496026,-1,45925,-1,-1,-1,93539,-1,-1,-1,-1,-1,41441,738774,-1,719033,949298,-1,399332,-1,711938,674227,121185,612332,372523,-1,-1,609867,842654,6612,14443,-1,-1,-1,790411,-1,139927,280729,-1,-1,-1,-1,-1,212245,-1,-1,-1,-1,-1,-1,-1,-1,241076,-1,753346,-1,967617,79377,546337,854870,629640,967445,236450,579854,422661,-1,546423,91967,-1,178418,195000,-1,-1,-1,13936,-1,35763,-1,-1,-1,240612,681488,-1,323443,-1,585840,-1,721260,-1,179019,417221,-1,-1,-1,407867,-1,-1,-1,52404,-1,640215,28722,101791,596136,-1,-1,-1,-1,602900,-1,39575,-1,-1,672121,-1,737596,463497,309906,837110,-1,404100,-1,-1,-1,510375,568332,-1,-1,636782,895540,813171,496760,643042,-1,941173,115012,-1,481839,-1,-1,-1,-1,757187,107124,125946,698531,-1,-1,-1,-1,665856,-1,955720,875370,51911,-1,-1,947350,214565,981809,283615,-1,527385,-1,591495,-1,579134,-1,-1,939722,838240,747818,-1,766162,882187,-1,161459,-1,134039,46312,-1,648062,-1,120853,-1,-1,-1,207408,606625,428277,444645,867763,80881,-1,-1,726783,830536,-1,-1,-1,-1,21974,945050,13455,778985,-1,511138,73618,-1,-1,63071,71642,844074,-1,209338,722096,-1,-1,507665,562327,20544,517897,-1,863842,-1,875964,-1,795917,-1,-1,-1,848880,-1,-1,-1,999604,-1,82529,928613,-1,301210,860965,139781,651846,-1,-1,-1,-1,-1,-1,86703,-1,923165,-1,-1,-1,-1,-1,225656,30252,605666,76783,38686,114454,809581,-1,-1,869451,-1,-1,261710,921404,-1,-1,-1,-1,292516,558713,210794,562009,483987,809539,-1,139325,-1,-1,-1,-1,37055,859592,-1,907946,759009,-1,184017,-1,-1,700026,-1,-1,-1,861106,-1,-1,-1,431622,594953,-1,-1,-1,-1,944346,-1,-1,911252,137227,-1,-1,-1,-1,-1,848011,840273,-1,694719,818206,-1,-1,456204,-1,647619,-1,-1,629972,-1,-1,-1,-1,-1,-1,-1,-1,267697,-1,103605,727098,189554,384170,905610,-1,-1,-1,-1,809808,-1,75450,-1,-1,435415,284569,-1,-1,185617,54657,843802,-1,414174,-1,-1,-1,458067,-1,-1,-1,-1,150169,-1,-1,922136,-1,-1,297994,-1,-1,193674,-1,-1,-1,-1,-1,586499,780776,-1,-1,910462,-1,745045,165359,-1,-1,-1,-1,-1,960000,637124,903653,-1,-1,-1,380921,-1,893058,-1,3313,-1,-1,-1,16225,-1,-1,-1,-1,63025,-1,-1,35801,-1,-1,-1,857564,715658,251820,390081,-1,557342,-1,361249,-1,547399,276685,405606,-1,594266,-1,-1,-1,-1,-1,-1,-1,515556,-1,-1,630908,-1,-1,-1,-1,-1,944131,-1,-1,-1,142710,-1,-1,-1,905783,532109,-1,-1,878197,-1,255672,48828,-1,-1,985064,41022,836634,500777,-1,983209,-1,-1,-1,-1,609324,727073,153886,-1,959358,-1,-1,-1,-1,-1,984212,-1,-1,249318,368038,727843,125651,497974,-1,538837,781813,378367,-1,-1,-1,682083,203576,-1,-1,459577,-1,-1,-1,132682,921287,-1,-1,560673,925752,-1,-1,202358,989668,-1,956,-1,-1,190374,332272,408985,168689,-1,103670,198088,-1,174653,941484,-1,-1,-1,664548,-1,-1,-1,119011,470933,-1,319869,494793,-1,410134,355091,586564,-1,653796,-1,741228,-1,272961,661201,-1,440071,-1,-1,32021,344234,750783,-1,-1,-1,-1,-1,-1,779527,-1,9794,852702,208406,189660,-1,675016,-1,907551,87134,278511,905162,269551,-1,684982,428407,818627,-1,320868,-1,296472,220210,-1,212298,-1,-1,261980,-1,603421,-1,-1,242063,699111,-1,-1,-1,-1,170595,585604,999716,333786,-1,-1,81085,-1,533248,-1,770150,-1,845647,22570,-1,37195,250108,911697,218023,25791,583896,-1,-1,354731,811940,-1,220574,255420,844174,-1,-1,953404,612786,140492,170277,865998,-1,812564,107336,-1,309961,799799,309014,-1,228945,-1,248661,718960,-1,344452,809653,727560,-1,-1,-1,-1,-1,-1,-1,296842,-1,676091,147791,-1,-1,-1,-1,-1,-1,570935,678974,-1,-1,-1,266168,451645,809982,-1,593400,-1,370183,-1,-1,-1,707495,-1,-1,55950,363741,-1,199408,896092,697079,729784,-1,-1,828486,839278,165416,-1,-1,309405,270971,330147,428613,70046,-1,882358,389855,918743,694556,-1,-1,714889,-1,482417,149699,-1,-1,728735,-1,-1,829789,-1,-1,521904,-1,-1,-1,263748,783609,-1,-1,889618,267271,-1,-1,577852,-1,-1,-1,604037,-1,-1,-1,-1,504310,-1,135063,247453,959284,-1,765057,225657,-1,490205,699442,353813,100891,994500,-1,-1,414009,-1,-1,230746,844073,402408,-1,840541,732206,160848,825201,-1,406030,273449,-1,795618,-1,389267,918279,-1,-1,-1,726108,761342,65895,-1,355076,128792,296012,-1,299707,-1,291230,297881,-1,87528,154466,924331,390277,-1,-1,-1,418691,-1,-1,-1,574714,-1,361476,688055,-1,823558,662516,403937,443892,169003,-1,800221,-1,835090,-1,751384,-1,-1,657716,945955,354824,889221,674634,-1,781064,-1,998813,-1,746959,-1,48434,-1,579804,109661,28038,54822,538378,-1,-1,794929,-1,571160,-1,-1,-1,-1,-1,-1,-1,692173,-1,255769,458982,-1,-1,373218,266821,532005,-1,80521,707179,-1,688691,-1,-1,122967,222166,81476,-1,-1,-1,-1,-1,741056,459412,373891,-1,-1,-1,641432,642871,586860,-1,964394,-1,-1,-1,-1,-1,-1,-1,-1,582693,-1,-1,81594,73098,444101,687376,-1,-1,-1,702129,440125,430519,682532,-1,-1,-1,-1,676070,-1,51720,-1,-1,-1,-1,505882,753559,-1,-1,584026,590312,-1,-1,480412,850931,989138,263861,-1,-1,265251,-1,-1,309661,-1,436447,872747,164609,970426,-1,425920,-1,-1,-1,-1,831510,-1,580984,828494,-1,403641,-1,58358,-1,179558,-1,-1,-1,-1,220846,-1,759752,-1,-1,9382,-1,262674,482626,-1,697390,-1,-1,11403,-1,-1,-1,61415,-1,162470,-1,-1,-1,339906,-1,614813,243401,-1,390546,-1,-1,885757,-1,641479,271637,490025,-1,653725,-1,-1,64590,-1,574653,324948,10368,-1,566592,5453,-1,-1,941880,475507,160868,-1,-1,-1,-1,-1,-1,315055,-1,523444,-1,183567,-1,739608,979448,-1,721292,-1,-1,372608,-1,416949,-1,796754,539568,-1,505868,719317,276821,126276,803972,-1,-1,867454,-1,362272,840328,342789,697077,-1,536223,200288,-1,293646,-1,-1,-1,-1,444378,-1,248082,726539,908357,-1,-1,356848,-1,831035,-1,-1,-1,-1,-1,883717,281307,770791,-1,-1,708525,-1,-1,-1,501057,-1,82734,-1,777191,-1,382416,-1,-1,-1,-1,868346,113529,551869,-1,-1,424249,123024,976346,-1,-1,443369,-1,265146,-1,-1,-1,983168,-1,-1,990371,306961,-1,508812,-1,-1,-1,252867,-1,-1,-1,-1,290458,144980,-1,488074,982347,382334,266853,514742,951192,217560,-1,-1,-1,-1,-1,95349,22296,-1,588783,721469,848158,844784,797305,-1,-1,385414,630119,-1,523548,772374,106653,739034,-1,248212,822536,-1,-1,-1,896764,812210,935249,663292,-1,-1,-1,556719,340869,694333,-1,-1,621496,-1,701171,965086,-1,-1,216102,228608,651448,617696,519998,-1,962396,141037,-1,-1,-1,-1,629558,-1,-1,-1,-1,565783,169212,537102,728171,-1,623741,-1,103127,-1,41480,541945,774443,781063,199561,-1,-1,-1,957975,-1,526047,592606,716968,94901,-1,696460,119246,978881,236260,287948,-1,-1,-1,955380,714185,327654,876910,-1,-1,-1,-1,669661,208420,847552,-1,304484,498187,644368,741142,-1,293997,-1,-1,-1,361769,-1,447573,-1,-1,-1,-1,729225,669502,680603,-1,40213,117967,-1,-1,-1,382191,-1,-1,397576,412487,834192,-1,-1,-1,895612,-1,-1,-1,-1,21470,255986,233605,-1,170090,979717,-1,-1,135157,-1,-1,-1,109894,497733,-1,67018,-1,865495,491162,77072,-1,63073,-1,817438,-1,318835,416980,-1,384075,140733,-1,700420,446720,876722,-1,984583,-1,902303,351269,381909,-1,-1,-1,234492,-1,679201,-1,811027,-1,988894,634331,-1,263905,-1,89821,696503,22937,-1,233566,-1,10290,-1,-1,-1,890635,-1,891963,-1,279776,981354,935238,777751,-1,-1,-1,-1,-1,556408,496154,70013,843006,-1,484422,472612,-1,56943,-1,-1,-1,-1,572826,-1,-1,-1,345669,-1,468740,881403,705051,-1,589400,-1,-1,-1,-1,-1,254810,-1,-1,-1,-1,-1,-1,649242,-1,-1,-1,-1,-1,-1,279142,997703,-1,-1,-1,-1,217976,508003,484688,-1,-1,458836,761799,-1,-1,713451,640527,-1,-1,-1,-1,-1,6839,-1,437897,471214,-1,170302,833949,-1,389194,-1,-1,175084,80240,-1,-1,-1,719335,-1,903180,784763,691389,99260,-1,-1,-1,723733,-1,-1,52768,754325,-1,721792,672235,-1,-1,-1,-1,-1,30981,-1,-1,-1,837667,-1,-1,-1,262187,543965,-1,-1,-1,-1,-1,510795,302880,656960,-1,215291,464819,505328,688740,-1,-1,577844,823777,-1,230413,823472,-1,722615,-1,-1,-1,402135,-1,-1,-1,666916,-1,624466,-1,385899,-1,539718,-1,931082,863246,-1,964518,453814,-1,888287,275217,-1,726100,-1,-1,-1,-1,-1,-1,250617,205524,992350,-1,971580,-1,526702,-1,-1,-1,417492,-1,24693,905119,949787,660703,249559,-1,771455,510477,-1,362958,-1,-1,-1,-1,904860,-1,673067,-1,778456,-1,175056,518844,-1,327167,-1,-1,-1,-1,-1,531267,-1,-1,-1,-1,45533,-1,-1,678572,-1,-1,-1,233742,-1,-1,-1,336419,-1,56094,827824,443219,-1,548052,-1,711579,373443,-1,427835,500801,-1,-1,875069,-1,-1,-1,-1,413835,53943,127405,141473,-1,785150,-1,-1,732958,-1,618491,-1,-1,205021,875835,595972,665470,612248,184693,-1,726075,175796,40239,-1,619351,-1,702077,145374,381208,310379,709112,-1,-1,612423,221395,446677,69399,166639,93662,-1,-1,-1,-1,-1,627728,261368,304991,875223,703677,-1,903535,78008,-1,-1,927805,-1,-1,676127,-1,671720,-1,-1,-1,955355,28861,-1,764403,-1,-1,-1,269772,-1,-1,-1,97990,450991,-1,-1,991286,87474,455221,-1,552964,575067,-1,426524,932656,179705,965298,299593,-1,-1,-1,-1,166117,475795,-1,175373,639298,909328,13303,-1,228943,-1,-1,716260,450668,993958,-1,917288,-1,676894,968997,396408,30,-1,-1,520162,776177,75889,-1,632004,199929,207033,188497,-1,940351,331632,-1,-1,625328,188592,82046,570342,218558,41510,-1,361926,717833,-1,-1,-1,493654,540936,779783,-1,697881,36391,230321,-1,-1,-1,547486,975247,-1,51948,47506,-1,-1,-1,-1,301647,-1,-1,-1,105058,502314,-1,-1,496052,-1,-1,303682,807554,93193,-1,807673,253105,-1,-1,-1,453115,-1,824228,-1,-1,-1,463016,900229,494579,-1,-1,-1,-1,-1,764481,327861,-1,121977,415648,-1,-1,902342,193917,949395,-1,14618,911766,341656,-1,-1,-1,-1,321365,439045,492194,156313,-1,872139,14958,-1,-1,-1,559007,-1,832184,-1,660916,-1,-1,711842,428604,-1,-1,182695,625442,-1,-1,184373,-1,-1,698120,-1,457016,544544,-1,-1,-1,-1,280922,-1,677924,569583,558,24654,-1,-1,882087,-1,793023,879580,96711,771461,300343,625320,-1,741754,-1,624809,599153,922528,-1,-1,671909,-1,-1,-1,874788,533844,-1,-1,117296,657136,743078,-1,-1,-1,-1,-1,412983,584772,-1,841170,323107,-1,202092,-1,481413,235589,-1,-1,-1,-1,29419,687841,-1,304819,35011,791345,217196,-1,-1,-1,-1,421856,-1,250873,445240,125425,656936,-1,387849,957467,754865,-1,903621,-1,831490,102342,-1,-1,639853,-1,616450,-1,-1,-1,-1,821137,100128,544026,346774,-1,-1,7806,849187,758758,179873,41858,-1,327761,-1,944337,392482,702588,-1,665782,413766,965850,-1,933634,-1,-1,611019,-1,166116,-1,348051,424652,-1,918529,-1,-1,804790,-1,708418,135673,-1,-1,-1,225335,243561,-1,-1,396693,-1,669188,897461,-1,-1,432115,-1,62511,-1,505475,829777,33546,-1,764048,892584,355183,-1,-1,-1,927492,846358,-1,444042,220776,603748,361152,-1,338142,919951,-1,870497,-1,51076,-1,198245,937992,-1,-1,733066,-1,896673,-1,445949,-1,-1,-1,-1,183986,81425,469938,696166,894336,550079,828380,347498,608951,76766,702711,-1,-1,37414,-1,-1,532994,-1,535358,-1,481578,735928,162290,-1,-1,868782,697866,532666,-1,864237,-1,-1,173989,-1,723077,-1,882821,502405,195232,-1,-1,-1,-1,694533,-1,-1,817457,-1,-1,701572,-1,-1,213680,407597,-1,516876,-1,-1,-1,-1,-1,-1,55276,-1,-1,-1,-1,32483,-1,306602,486468,-1,895775,-1,518264,992794,-1,-1,-1,885902,289299,-1,114796,-1,-1,754565,699441,460866,1196,-1,-1,566656,723164,589765,142685,824158,-1,-1,320710,-1,-1,517982,-1,41914,-1,153162,305009,901130,-1,-1,-1,876768,-1,352193,591998,-1,961004,-1,-1,-1,-1,426593,76202,-1,118078,590930,182847,117632,157832,546841,-1,242592,550145,424284,517141,822610,-1,433384,904519,-1,601210,295091,642613,-1,114974,148254,486729,604722,371327,940374,-1,-1,767296,-1,664506,-1,53270,-1,-1,164148,-1,364285,-1,-1,506724,-1,-1,243953,-1,-1,344154,284817,-1,28063,-1,908928,504401,-1,830772,51265,-1,-1,36228,286286,-1,714456,-1,-1,-1,383022,-1,24665,-1,68698,458532,785487,-1,155595,-1,-1,624000,258679,-1,-1,312348,296438,-1,279116,-1,-1,-1,-1,994275,-1,50521,601415,75340,-1,-1,-1,330246,597554,-1,105392,688880,528924,-1,-1,-1,800933,-1,-1,-1,506573,607582,-1,31805,-1,560527,238089,-1,786959,-1,-1,599630,319681,403498,557965,-1,661741,-1,534444,-1,606630,729172,-1,809116,589422,-1,904228,-1,238062,42811,-1,960031,-1,329612,-1,-1,251669,739309,-1,-1,-1,415278,-1,679226,-1,-1,274872,132410,332569,451846,-1,-1,-1,-1,152924,-1,-1,444338,768841,-1,-1,-1,642404,542670,341672,417830,802103,512431,-1,844995,11893,-1,758460,285457,627954,-1,-1,-1,-1,-1,701760,232936,-1,292470,-1,-1,727130,-1,-1,-1,975690,-1,972381,214726,515330,-1,-1,945636,-1,942299,468302,-1,183836,173307,782132,510637,140470,-1,-1,-1,745298,-1,-1,-1,-1,200279,863690,-1,-1,-1,480288,-1,-1,602312,187414,200064,-1,699193,-1,-1,-1,-1,-1,296794,-1,626979,303004,-1,-1,142272,-1,-1,-1,1631,628535,-1,119377,-1,-1,-1,102560,-1,844736,83419,583369,-1,-1,957166,-1,-1,830893,311691,559227,-1,-1,-1,986547,-1,23562,819887,-1,-1,-1,-1,773867,679262,-1,284772,-1,310246,-1,-1,791501,287516,-1,-1,-1,-1,327040,97734,754793,-1,438219,-1,602455,185848,802868,-1,-1,586316,-1,348902,-1,-1,892283,-1,-1,-1,589343,351660,-1,-1,672174,810919,751298,292701,-1,-1,24025,200603,396476,-1,942972,335340,-1,-1,-1,47167,-1,-1,-1,430117,831129,-1,993870,796845,-1,-1,-1,468266,772209,-1,575965,-1,-1,-1,-1,628617,300469,-1,878019,368967,-1,-1,-1,-1,-1,478509,-1,769837,899936,-1,754475,491671,-1,-1,106553,520592,657094,32703,902691,-1,234897,-1,378358,84375,-1,-1,47555,-1,614793,-1,731225,332783,325751,245745,590646,-1,726792,524788,-1,-1,447257,-1,148176,35963,-1,203610,118688,-1,-1,-1,129702,833784,-1,261154,-1,471,-1,-1,855673,-1,644722,174646,-1,357390,-1,830322,-1,-1,-1,57265,498630,-1,-1,590365,813685,43183,-1,-1,-1,845887,-1,504078,632748,-1,-1,-1,-1,-1,226609,-1,-1,-1,-1,869019,-1,-1,-1,941292,740446,462056,-1,634312,-1,116879,923079,-1,-1,-1,983066,-1,-1,-1,-1,375867,-1,309793,-1,30802,-1,887150,-1,250383,-1,201852,-1,593269,-1,-1,892997,251053,761071,410526,782394,556982,-1,974010,-1,-1,-1,403644,915791,52333,316966,47984,-1,953375,184787,667142,-1,140057,-1,-1,363695,-1,327494,-1,101381,-1,384655,378272,804099,-1,560571,189093,-1,448086,-1,-1,388945,-1,579153,-1,-1,-1,963517,923429,438630,69913,67277,-1,507004,702493,687164,-1,-1,420948,241240,31086,-1,-1,71353,58656,-1,290703,902770,806802,601712,-1,446570,72315,902999,-1,43235,-1,-1,973590,-1,-1,-1,814385,703205,-1,-1,222496,-1,-1,-1,-1,545250,512225,764997,536310,703421,-1,-1,-1,-1,107072,299756,-1,-1,720718,-1,-1,-1,-1,-1,-1,-1,870597,-1,-1,310988,-1,-1,158395,-1,-1,522773,353681,591145,959787,-1,115692,405694,520267,595421,-1,-1,589044,-1,252565,-1,290132,-1,-1,-1,463194,-1,629662,895348,-1,506653,-1,-1,-1,-1,629338,-1,-1,569162,-1,325302,838630,-1,62501,-1,-1,-1,-1,-1,555799,720012,-1,-1,770318,274084,159515,705704,731997,665278,-1,-1,-1,-1,174580,93401,664689,939865,196176,795511,-1,-1,92479,726192,781843,930650,-1,230817,-1,773438,-1,282508,-1,-1,76831,-1,818046,45221,218951,-1,-1,741607,119909,-1,-1,373011,-1,-1,831519,195343,732473,458978,126957,622189,-1,-1,-1,-1,-1,792724,-1,762672,759872,992788,-1,860413,133825,209335,-1,-1,-1,372260,-1,-1,-1,-1,-1,71068,982111,210004,-1,-1,-1,-1,-1,927897,-1,545117,421565,723290,-1,-1,-1,-1,366542,13506,668481,285720,-1,-1,-1,-1,487868,679157,-1,-1,679727,15735,365037,-1,-1,-1,766219,-1,-1,352993,-1,-1,926572,-1,944477,512962,-1,-1,432287,-1,411365,-1,-1,-1,-1,-1,-1,-1,-1,639195,633505,-1,-1,765130,-1,340295,580037,786390,-1,596856,-1,223119,-1,-1,317368,-1,-1,-1,-1,-1,-1,67146,508304,140754,-1,-1,-1,-1,288008,410938,-1,766609,-1,-1,-1,343485,227853,467750,519324,859476,781920,314510,574338,641131,-1,-1,-1,-1,473269,-1,891611,264861,22294,-1,945732,-1,-1,155949,972480,1097,85791,220262,859187,276552,-1,-1,784398,207303,-1,185625,-1,195579,565280,-1,962506,-1,-1,360900,-1,-1,839198,42033,-1,989293,-1,-1,-1,-1,966270,-1,995688,-1,-1,730485,-1,-1,-1,59177,359068,-1,710581,984412,-1,-1,-1,853500,-1,807628,127455,-1,447618,928032,-1,765834,84402,-1,884918,25728,25807,647255,-1,1720,354524,-1,-1,185586,208443,820729,953416,483414,532775,387292,-1,-1,390679,999121,935783,793973,-1,-1,29970,851536,691459,-1,-1,241963,-1,976365,863343,-1,853264,486400,-1,-1,-1,418192,960674,-1,803741,117860,-1,977747,118134,-1,871116,117269,438503,-1,255792,720083,-1,617841,978559,565509,490159,-1,885011,5239,-1,-1,-1,-1,197381,-1,297503,-1,491964,-1,-1,-1,245070,236886,-1,741645,-1,-1,882129,981577,2312,-1,10016,205477,-1,34506,-1,388931,371820,61916,480660,-1,28008,-1,775616,678395,224262,119314,-1,971611,-1,-1,-1,984756,747399,-1,-1,339307,-1,919441,92292,477194,286692,-1,137742,922038,663603,-1,-1,840126,-1,536843,316746,898534,-1,797051,-1,103247,568077,655578,-1,434421,-1,633906,-1,779422,-1,-1,-1,-1,-1,-1,-1,-1,-1,748960,807707,827480,397886,409414,20485,56310,558206,-1,955047,176599,-1,973359,-1,310284,749835,453432,-1,376140,-1,803096,60420,-1,633494,123658,749081,-1,-1,-1,-1,-1,-1,120956,535573,407678,903993,901132,-1,-1,-1,743020,518387,-1,908689,854795,438066,154459,-1,98465,-1,728745,-1,81358,-1,92025,-1,943381,926304,758794,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,634278,249210,651317,513689,967785,604740,-1,-1,-1,-1,-1,896018,627946,-1,379361,-1,-1,368995,507676,-1,564480,347150,900267,-1,19758,-1,544278,628508,61979,-1,-1,950132,835458,-1,-1,-1,-1,165481,-1,-1,127915,-1,-1,-1,49084,232039,-1,643672,824598,256850,504672,673195,-1,-1,-1,-1,116137,156565,275445,965359,-1,725973,-1,573486,342767,831413,-1,-1,-1,-1,-1,594271,-1,307770,-1,118939,710781,372363,20793,731818,-1,963664,790750,806850,482265,398704,-1,-1,752140,-1,-1,-1,-1,-1,602869,-1,-1,720692,-1,-1,-1,-1,986782,-1,-1,-1,-1,685264,-1,-1,118234,683985,613527,-1,-1,664685,603276,-1,-1,-1,-1,307707,-1,257884,802275,643714,-1,965510,392324,917302,304603,915652,-1,-1,789072,785562,398180,175588,-1,748940,512679,-1,396782,129610,869951,-1,719216,-1,588647,688540,-1,-1,-1,873410,325942,643181,-1,830249,-1,65167,534356,-1,-1,-1,581255,214210,-1,-1,-1,213364,962070,-1,147188,-1,-1,-1,-1,-1,-1,-1,469544,844318,687281,682518,201631,-1,716697,-1,-1,584651,-1,-1,-1,-1,104945,-1,-1,-1,-1,-1,517166,887605,367328,374968,-1,-1,614339,578065,-1,455900,407763,-1,197514,820666,-1,999967,-1,-1,914018,708609,301535,-1,-1,-1,257044,479161,663390,606793,418561,-1,-1,581079,596929,893157,192083,-1,-1,861309,-1,480018,506720,-1,204995,-1,526364,205498,-1,91065,801232,-1,305392,-1,109599,598462,725312,-1,602348,-1,-1,697074,-1,-1,-1,542605,-1,-1,874511,-1,-1,877756,-1,770561,-1,-1,955312,-1,-1,245919,-1,-1,496173,199064,-1,826217,882627,-1,985350,463943,-1,869821,-1,-1,460868,-1,608576,611934,-1,23471,-1,431162,-1,-1,-1,-1,553234,-1,115711,-1,-1,205248,757802,-1,189420,-1,875115,-1,243578,-1,-1,-1,376428,68956,962899,464961,-1,735908,-1,-1,-1,-1,38312,464462,-1,270481,181485,25119,-1,-1,-1,-1,-1,16782,892005,-1,-1,770900,-1,-1,-1,-1,838810,133759,-1,-1,116451,-1,-1,-1,-1,466118,577203,-1,766797,991582,759840,-1,865140,273557,174691,-1,911840,906533,931175,-1,-1,-1,-1,879684,261965,822596,-1,-1,-1,306486,-1,-1,925696,376515,-1,-1,781298,-1,-1,-1,-1,291159,-1,199697,26622,361225,-1,579742,-1,443091,-1,-1,110084,754555,258498,-1,933084,252228,156385,-1,489637,908172,399861,-1,-1,215038,781185,723497,610684,-1,-1,233129,693527,37783,904697,-1,893608,425304,329270,902356,-1,-1,934699,845827,-1,-1,642760,-1,-1,-1,-1,957038,705930,-1,-1,140027,229950,-1,525835,-1,-1,766319,-1,698076,792750,-1,956148,74956,48463,-1,-1,-1,-1,775246,-1,-1,675202,-1,758961,41961,834958,-1,213567,-1,131362,971820,732210,880082,840364,-1,-1,-1,544814,-1,872704,-1,886946,680898,76710,573758,-1,-1,384951,837598,461168,-1,-1,518000,300904,93559,302557,753682,885477,-1,-1,-1,203628,-1,554229,-1,273497,-1,-1,-1,74573,180007,664512,-1,-1,243201,-1,293338,931121,-1,-1,104686,938884,745048,532311,974366,-1,-1,-1,701361,-1,190511,-1,-1,221403,-1,-1,453746,-1,200082,490270,-1,85610,-1,277562,516734,-1,-1,-1,-1,108439,-1,735817,-1,97081,-1,205921,405751,-1,536380,-1,-1,657868,887540,501129,-1,-1,-1,-1,433618,873060,319337,94277,-1,-1,-1,-1,633752,-1,438073,-1,222614,461481,-1,508157,-1,85695,-1,-1,-1,288098,-1,-1,-1,38217,-1,232945,-1,109279,822650,899211,440954,-1,-1,7996,464329,137326,-1,74619,-1,-1,-1,-1,-1,56980,358731,963270,-1,135240,-1,-1,-1,561360,-1,-1,396639,357718,-1,149819,-1,-1,313781,-1,-1,783183,-1,-1,-1,991725,684717,-1,-1,496681,162592,431911,-1,-1,-1,-1,427707,-1,734793,-1,90362,-1,409105,-1,292853,-1,681362,940430,-1,-1,146694,-1,-1,-1,161205,771920,934882,813965,779198,-1,527933,33782,-1,257827,342890,-1,-1,158930,551536,796954,926870,-1,285996,-1,-1,442184,648747,-1,-1,-1,737628,18778,214301,728739,-1,532396,260496,-1,-1,518010,-1,-1,46764,-1,462650,805130,731255,-1,-1,-1,5907,-1,-1,369763,165234,597833,-1,-1,86868,56081,614127,34427,44969,-1,699435,728885,14395,851259,-1,930706,-1,418003,-1,-1,743534,112755,-1,-1,643165,-1,20752,-1,-1,-1,-1,-1,-1,-1,596784,-1,113756,520597,-1,150244,882092,520812,-1,-1,-1,-1,452770,-1,-1,190945,15486,-1,-1,-1,-1,-1,906029,-1,-1,188915,59595,-1,490061,-1,353193,-1,-1,480190,951516,-1,-1,957553,-1,124422,-1,-1,285462,585702,669071,301594,300886,42858,144388,-1,818992,-1,512014,705729,854657,995568,-1,129279,428487,533349,806498,-1,-1,800830,184342,706462,-1,486362,-1,-1,-1,-1,-1,88334,974613,698581,801509,429032,-1,628751,-1,-1,676468,-1,734712,987930,464186,-1,597947,802809,-1,-1,588112,-1,282795,-1,23672,-1,-1,-1,-1,755652,459196,-1,779175,959538,-1,526434,585377,-1,-1,-1,-1,576679,-1,-1,400861,-1,-1,444134,217688,-1,16786,63578,-1,-1,163167,-1,-1,134255,709774,-1,512918,-1,-1,653457,568501,-1,309268,-1,-1,130286,86609,987291,-1,946033,589981,-1,-1,-1,-1,-1,-1,-1,437337,-1,-1,954235,570508,-1,85855,-1,989379,262515,599497,637743,405804,419377,-1,-1,50913,634890,564567,707299,-1,-1,461619,691923,-1,-1,-1,-1,964936,-1,-1,-1,-1,-1,-1,18556,-1,91168,708368,6750,-1,188180,-1,-1,-1,744988,-1,-1,-1,-1,144778,-1,-1,964956,299202,944583,-1,-1,-1,178834,-1,49532,-1,-1,-1,-1,539730,338432,-1,762186,-1,440474,-1,330309,-1,-1,-1,322438,-1,794326,419424,171387,-1,586482,-1,-1,46305,225702,855476,674763,267933,-1,39193,448242,-1,-1,-1,611896,-1,-1,-1,-1,-1,342298,-1,438058,-1,-1,-1,-1,-1,-1,965426,-1,893316,-1,-1,700425,-1,99684,-1,-1,-1,250286,64026,187742,492828,-1,-1,-1,-1,-1,-1,-1,-1,404842,670988,-1,-1,-1,-1,709593,825216,-1,-1,587780,21652,-1,305466,230912,-1,-1,-1,-1,309389,799930,368328,317997,-1,-1,-1,-1,-1,182098,-1,-1,698237,167548,-1,480572,-1,182943,-1,854936,162729,77967,-1,-1,-1,79866,-1,-1,-1,-1,754215,330661,317699,-1,97304,-1,101003,-1,811604,277970,-1,-1,355737,630073,-1,-1,538522,596628,203607,634679,-1,-1,-1,324879,-1,75781,-1,-1,-1,-1,-1,747076,465916,133401,188137,704545,-1,299385,751405,757057,507172,-1,-1,741961,-1,424154,974923,309648,-1,798721,537907,-1,-1,287524,155410,-1,-1,189212,971829,556074,-1,66619,-1,-1,-1,358197,762452,128474,-1,495393,-1,-1,-1,-1,-1,-1,-1,-1,-1,912714,291754,149653,781975,6742,59411,-1,-1,261277,-1,753486,-1,-1,98334,-1,283807,-1,-1,-1,173151,293485,332486,-1,896422,-1,315914,959515,-1,337750,882587,345428,509006,692153,631565,-1,525198,-1,893513,562445,-1,610312,-1,451581,260984,-1,118166,225372,-1,-1,471658,-1,418040,502373,-1,146494,807813,-1,-1,-1,-1,400707,912290,-1,253194,842771,963556,-1,-1,-1,402786,-1,283549,451802,677122,-1,-1,134490,307658,-1,266874,354088,441462,527040,977337,-1,-1,552414,-1,999571,378248,849515,467200,752001,188393,-1,271312,331838,-1,937720,-1,302821,830215,95468,-1,-1,-1,-1,472470,121976,-1,555491,-1,539063,293930,44649,-1,-1,-1,462839,521329,-1,1500,868861,-1,-1,-1,-1,-1,694651,350809,557215,-1,501718,268493,180967,893652,-1,796264,307400,315582,337296,746588,256658,316717,863391,991617,543191,471730,-1,452097,147625,-1,-1,990333,908586,-1,719490,-1,591344,256120,-1,81760,-1,-1,735455,5036,819143,85803,-1,666140,-1,-1,-1,-1,-1,219015,286474,163712,-1,-1,173819,-1,377451,515653,-1,145489,762309,411355,-1,246800,-1,305190,-1,-1,958107,696297,822321,222056,-1,-1,241519,-1,152853,-1,-1,-1,-1,661906,-1,166865,429742,-1,-1,-1,587648,409086,13834,-1,-1,-1,553515,351559,354713,714891,-1,744948,110540,350662,-1,897899,177574,335964,58505,556500,842538,612713,-1,-1,-1,-1,146070,-1,-1,-1,-1,64499,-1,-1,-1,545466,-1,878219,-1,-1,360477,-1,133673,300281,503626,-1,541183,33240,-1,743233,-1,560243,692956,638169,-1,-1,-1,488627,-1,227433,-1,78764,730889,-1,155053,-1,-1,885981,43896,-1,576217,479464,505389,781971,-1,-1,-1,-1,174363,718239,300457,-1,-1,-1,-1,-1,227270,-1,275606,-1,-1,-1,-1,-1,588494,-1,-1,-1,-1,-1,833141,710538,-1,294869,668288,627342,-1,-1,-1,919918,430772,622479,-1,741359,718273,343205,715466,-1,409037,-1,-1,355780,1673,605722,679107,-1,181452,-1,-1,458344,221501,899882,882346,11479,-1,-1,541222,13890,-1,913807,-1,838483,-1,931481,801580,506953,-1,-1,-1,162013,211654,678612,680907,675412,-1,-1,326940,195267,-1,-1,188717,449133,760144,296821,-1,-1,-1,139852,974279,247420,-1,530963,577544,-1,-1,861153,-1,120032,-1,-1,-1,65375,-1,496504,849215,-1,528542,574579,-1,352832,175558,-1,-1,-1,349357,-1,385778,781954,154472,511718,-1,854156,-1,-1,-1,580555,37982,403931,-1,633805,-1,-1,-1,-1,78111,-1,483216,662140,934070,53535,160561,605674,505702,925792,-1,-1,883352,213252,-1,150287,263544,966797,59942,730522,167792,158090,385784,229827,587829,-1,836669,-1,945558,846802,-1,-1,-1,937114,112023,-1,161001,622846,779702,-1,418173,-1,654463,-1,-1,564161,932485,991022,-1,951129,-1,-1,916354,-1,-1,-1,212114,386467,-1,48389,-1,-1,-1,-1,-1,-1,-1,378661,559279,311915,-1,-1,-1,-1,479260,-1,239489,721584,-1,614468,-1,-1,630854,-1,410817,16918,596112,-1,135116,-1,-1,980147,-1,-1,-1,861457,258491,759918,-1,-1,-1,-1,-1,523747,602546,-1,-1,69390,-1,243865,845643,894217,361931,972412,744703,165618,-1,965318,-1,-1,-1,888369,146477,-1,158692,-1,49157,-1,315704,-1,163507,922028,746875,-1,-1,330917,-1,-1,-1,543592,355085,128400,-1,687163,-1,-1,47291,-1,-1,175935,430434,751035,-1,-1,504725,-1,1618,369915,20017,106224,-1,496094,868603,-1,-1,-1,278318,875897,-1,606852,542701,-1,985172,246224,-1,325090,404582,-1,-1,992753,-1,564898,479296,264902,-1,549161,732174,-1,290607,-1,-1,-1,278526,853592,922386,472498,-1,-1,-1,118004,-1,-1,-1,-1,119057,-1,-1,-1,845020,950518,-1,-1,-1,274850,-1,-1,-1,750637,-1,-1,35788,-1,557412,635459,635592,-1,277877,-1,114567,-1,-1,997419,612013,896325,674625,-1,544268,-1,79987,-1,-1,246763,-1,-1,100431,-1,-1,549367,-1,330090,-1,-1,-1,-1,179555,-1,-1,316258,-1,410265,-1,-1,-1,363562,326160,-1,378038,-1,846374,953247,-1,475169,-1,310127,-1,333740,-1,-1,-1,-1,287336,-1,135132,264299,-1,-1,863351,194890,715,-1,896724,-1,-1,383732,-1,-1,-1,510078,575395,-1,-1,711582,17234,-1,-1,593687,860866,306963,382409,550506,527425,604755,435535,277126,344455,3393,268786,-1,-1,788285,-1,-1,-1,263813,-1,-1,-1,-1,462037,-1,670738,-1,171758,-1,884566,-1,-1,753798,-1,-1,947629,101628,-1,-1,-1,-1,484091,490659,-1,-1,-1,861281,916554,862196,839066,186630,145155,-1,216450,483055,-1,132971,909609,-1,-1,-1,-1,264263,-1,-1,238154,-1,-1,936250,42755,-1,558320,610872,596212,-1,-1,-1,566972,14102,841159,-1,768591,-1,-1,724143,-1,940521,-1,714253,614637,-1,913509,460801,948186,-1,267740,32064,499115,362201,-1,743375,-1,-1,303296,305867,-1,-1,794181,-1,-1,296091,-1,-1,-1,-1,-1,-1,488185,-1,577854,387487,-1,26221,-1,-1,-1,-1,550849,894803,-1,-1,-1,46559,-1,-1,400086,-1,-1,668206,213489,-1,-1,-1,-1,-1,781388,-1,-1,497880,-1,-1,-1,-1,-1,262324,-1,844393,240414,462202,671199,955550,-1,-1,-1,922260,-1,-1,606772,-1,453365,200124,656835,519009,120186,-1,-1,-1,-1,-1,273776,416127,798376,694238,691531,-1,-1,-1,65898,-1,256606,666930,379726,433945,-1,251295,688065,-1,-1,-1,611685,766105,67397,244367,713240,672365,263974,646918,-1,442154,-1,920519,227696,418357,-1,-1,197369,-1,16622,-1,321694,-1,-1,954171,890749,-1,-1,749902,219878,-1,-1,205795,743986,155614,165680,-1,-1,620717,-1,-1,-1,-1,149852,-1,531500,-1,-1,-1,-1,576468,-1,-1,-1,391523,-1,-1,-1,16699,-1,305811,528840,-1,-1,638621,-1,-1,267885,684331,54400,712502,-1,-1,-1,-1,930343,-1,-1,529628,494005,19132,691787,778032,52058,-1,-1,185892,-1,371204,498814,-1,-1,683757,-1,-1,658844,-1,752336,819851,207360,963904,-1,599636,-1,731704,390178,-1,465666,173614,138413,-1,540137,36757,-1,-1,817435,-1,-1,208362,672352,-1,302242,-1,731347,-1,169995,-1,926852,70460,904464,-1,-1,263282,-1,-1,437838,962537,-1,998816,-1,713534,237474,312164,-1,147331,274214,-1,335956,287521,-1,530439,77873,141308,140338,689665,-1,374502,167910,43408,-1,-1,966546,-1,-1,-1,-1,-1,773286,780701,-1,879331,490104,-1,-1,671156,-1,5282,-1,477365,-1,-1,747284,592891,484282,474254,482598,-1,-1,-1,442530,-1,-1,258157,-1,-1,417410,86083,-1,489496,192265,491327,378388,-1,24601,529554,-1,244968,-1,-1,-1,313442,-1,136683,-1,-1,-1,-1,215849,-1,835698,-1,-1,-1,569505,862653,900886,-1,-1,-1,-1,-1,260586,472625,-1,707570,-1,-1,406377,904410,-1,-1,546600,802855,710964,-1,-1,-1,695295,-1,-1,737838,-1,-1,-1,-1,-1,-1,812678,884628,-1,985027,74079,-1,381801,619482,822533,180169,-1,-1,-1,-1,-1,-1,123281,455694,-1,601868,-1,-1,849080,-1,-1,-1,522442,-1,522699,434872,192885,-1,491736,761028,-1,-1,-1,687902,-1,-1,187169,-1,-1,652027,113924,296420,-1,-1,-1,-1,-1,371670,678092,255103,639184,-1,640615,574027,-1,-1,140372,-1,-1,-1,-1,-1,-1,542337,-1,76090,726575,554549,-1,-1,-1,824855,-1,-1,366833,-1,-1,509918,27145,-1,187672,-1,-1,-1,-1,618714,461597,44206,-1,736561,804846,420411,-1,-1,371045,-1,-1,95747,-1,447007,-1,416558,867087,-1,-1,-1,265983,-1,687184,-1,931532,348030,-1,-1,787834,311181,-1,318029,-1,482397,-1,366338,171613,687208,226012,-1,-1,-1,-1,-1,518050,955835,42490,672287,-1,667952,185266,-1,258611,-1,-1,-1,908208,495716,424095,879181,197420,-1,406803,867754,-1,17690,-1,-1,-1,896758,414783,-1,490820,929564,422575,297138,-1,-1,-1,-1,215310,-1,815269,-1,173053,756988,900439,296474,-1,-1,116574,767294,922950,-1,100553,991784,-1,-1,-1,-1,-1,-1,593001,-1,-1,696179,-1,64395,-1,810282,-1,302253,-1,-1,132434,-1,-1,-1,-1,641210,-1,-1,-1,-1,-1,89009,21538,749796,786033,194989,-1,-1,-1,-1,979528,104920,259312,446015,716890,-1,-1,-1,-1,278962,214680,93901,640700,-1,499799,802021,650694,-1,-1,676717,752812,-1,214957,-1,696846,-1,157979,345434,674766,961185,-1,-1,935639,-1,-1,-1,-1,-1,825507,227372,-1,217626,-1,917860,-1,835218,4806,-1,-1,-1,-1,260772,541901,-1,869815,-1,695917,-1,460989,-1,-1,869237,-1,-1,116268,311470,700736,28855,314295,-1,304141,-1,17455,-1,-1,328361,-1,-1,-1,806515,-1,413936,-1,188754,941331,-1,750317,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,716703,724269,38192,-1,441925,-1,892315,-1,207309,81394,321945,733006,598174,338088,-1,-1,-1,555036,-1,-1,538584,74353,-1,628138,-1,-1,704083,-1,-1,-1,-1,374648,-1,-1,685448,-1,-1,-1,227911,-1,140376,292665,841972,-1,42627,463776,-1,795022,-1,-1,-1,-1,-1,490456,716728,469498,412045,-1,864592,-1,-1,775458,-1,541464,564047,-1,62758,-1,-1,750328,270605,-1,-1,-1,-1,73889,-1,-1,258029,725639,833694,653246,-1,268453,-1,143115,663425,-1,-1,-1,655283,-1,-1,891723,163662,359569,-1,-1,-1,212927,-1,-1,-1,999528,-1,-1,-1,587946,381409,842315,-1,760715,429173,668033,431116,-1,-1,-1,-1,-1,65079,875062,-1,490526,610117,2519,415074,45801,40829,-1,702376,-1,176835,-1,880781,117060,-1,-1,45008,525939,423501,492201,-1,-1,-1,393687,-1,-1,-1,651386,139378,-1,99119,797329,-1,796435,738215,675325,158583,776196,-1,63377,-1,310880,711294,542097,748402,926113,-1,-1,479868,253462,33953,-1,-1,-1,101986,-1,-1,-1,882966,-1,-1,-1,-1,-1,-1,839521,406716,-1,857582,-1,-1,-1,-1,583786,-1,428503,63518,-1,-1,809245,-1,431322,-1,97413,98118,181685,485519,-1,838906,923071,-1,631527,327452,-1,60366,130563,982590,837958,-1,-1,-1,-1,-1,-1,975558,473450,225270,-1,-1,-1,-1,-1,-1,-1,636750,-1,-1,137901,106233,194508,219703,173531,-1,225406,-1,217926,-1,-1,-1,580717,677756,44252,-1,473355,-1,-1,194751,504623,-1,532348,-1,16857,-1,-1,778153,249163,-1,-1,627196,-1,410979,-1,-1,-1,-1,724468,-1,-1,-1,831675,630067,-1,-1,-1,-1,-1,-1,-1,787166,649132,-1,-1,58741,474281,603202,-1,-1,-1,-1,-1,950635,268091,-1,-1,-1,-1,55779,599815,773186,959871,115572,437730,-1,-1,964638,838203,956565,156196,445392,-1,8914,272358,-1,938209,-1,-1,179292,486768,-1,-1,461938,858330,746750,870258,-1,683717,-1,323460,-1,772873,820850,-1,-1,-1,-1,303907,-1,507305,661591,301178,169395,417690,37881,242895,-1,-1,-1,644014,-1,-1,643469,-1,206257,-1,475427,-1,306525,319776,-1,-1,187868,202120,740183,-1,-1,570086,-1,-1,16180,301026,809121,994963,-1,908266,-1,-1,-1,559299,-1,-1,-1,-1,-1,50418,-1,93155,453640,-1,869490,679563,205666,-1,342330,-1,-1,917158,630659,-1,-1,-1,704826,-1,64748,-1,-1,-1,-1,433419,-1,593454,280757,457828,-1,69389,-1,327743,-1,439428,515661,480739,380650,-1,-1,122396,982243,996247,611732,770974,-1,-1,-1,345004,-1,-1,631117,827432,280618,832275,-1,556249,481769,136620,337205,-1,-1,-1,-1,102125,515291,285946,295415,-1,579756,-1,330993,-1,839671,-1,810179,96165,688867,-1,-1,922840,742470,-1,-1,564239,246325,607870,467144,-1,747000,291679,551766,726989,-1,-1,635789,512837,-1,-1,933216,602505,961458,-1,350569,49663,-1,422220,639161,-1,-1,-1,-1,-1,-1,-1,-1,-1,80602,-1,6780,495341,865450,410678,-1,-1,322978,668739,708416,-1,-1,-1,738672,-1,546257,840337,-1,-1,-1,40349,-1,-1,-1,-1,690115,-1,-1,869671,74019,198103,-1,-1,-1,732340,-1,103261,-1,-1,-1,770869,-1,-1,348162,582329,403770,-1,-1,544671,863802,-1,695355,752047,-1,190522,419506,527331,799983,744231,-1,-1,-1,177044,446799,-1,-1,891910,-1,441153,-1,962924,93734,656316,927703,-1,939366,739535,-1,3315,-1,361451,677116,-1,-1,-1,509962,580867,916175,-1,-1,-1,-1,462485,-1,767292,-1,-1,-1,594088,-1,-1,-1,-1,-1,-1,-1,-1,875595,92328,69951,40015,205066,-1,353394,756447,-1,146470,340011,868811,952751,-1,909183,-1,-1,419237,532889,-1,532698,185914,988672,-1,93150,-1,75829,-1,-1,-1,359168,11681,-1,99045,978970,343557,89871,-1,-1,171851,-1,-1,312122,808751,-1,966032,-1,219471,969337,-1,238324,-1,-1,253848,-1,699785,504230,168107,751687,198607,471489,411224,-1,352794,261697,930950,-1,266435,179755,545160,887086,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,169966,-1,610240,-1,-1,-1,35448,-1,608824,556765,677297,771910,-1,121465,566820,494282,152739,-1,799908,77776,-1,-1,-1,-1,79455,866359,355257,355193,-1,-1,84552,998039,467358,-1,730849,-1,-1,643331,979393,640897,607526,845242,-1,-1,931428,-1,-1,339113,-1,-1,350215,465178,-1,-1,-1,-1,87106,70644,-1,47030,-1,550128,756499,345985,6088,-1,904326,666997,-1,85962,-1,-1,-1,-1,894848,806432,-1,450866,537719,610069,291860,998565,415769,573247,601423,-1,717767,723438,-1,-1,-1,337204,316323,689788,315925,426748,-1,520319,-1,457230,168294,433113,503554,227267,41936,-1,877076,-1,322101,370496,-1,180380,278174,635044,-1,987721,-1,-1,-1,776304,-1,842902,-1,149031,-1,-1,717853,195015,561330,-1,671192,-1,-1,728292,561016,661504,887315,-1,-1,206247,140251,-1,51886,399303,58886,95450,407132,-1,-1,-1,-1,103309,523122,-1,-1,-1,-1,928565,735538,-1,800485,-1,-1,162684,-1,-1,-1,974477,11863,-1,285785,-1,-1,-1,-1,737253,-1,477672,-1,259663,832966,460739,273957,420523,885679,-1,424053,-1,-1,-1,-1,744276,455600,-1,788768,694375,634244,-1,235157,452148,-1,-1,-1,-1,621106,575112,-1,625809,601028,34867,574099,637291,265670,-1,-1,911455,-1,109189,-1,-1,-1,-1,129843,-1,-1,-1,-1,906977,259793,566639,-1,-1,-1,936256,-1,-1,-1,119094,792589,-1,640051,832304,-1,55231,961776,528488,566845,776701,-1,776676,622938,-1,-1,879924,323113,-1,953287,899964,-1,847700,336289,632371,957892,8287,-1,-1,533670,776597,839216,272740,323222,397611,-1,-1,102357,-1,245941,406895,497769,448372,537245,989252,185026,-1,-1,-1,967108,-1,-1,742380,94365,190002,169453,-1,-1,-1,-1,-1,-1,-1,-1,-1,377833,889789,-1,895887,-1,-1,-1,860166,-1,985819,-1,736466,386165,763276,969890,435917,256709,308427,-1,207076,-1,-1,-1,60013,965475,447206,483554,118962,781802,-1,-1,434189,900113,479593,597884,-1,346918,-1,89090,187294,468546,-1,-1,-1,230957,-1,-1,900225,-1,747640,795921,-1,112162,503710,272382,-1,618858,264403,-1,891810,398992,467629,197170,-1,-1,21371,-1,604636,824618,-1,799599,-1,-1,300470,-1,554525,-1,953758,-1,888553,571965,386511,90991,159622,523172,847621,209025,-1,-1,-1,-1,71840,200378,966852,-1,-1,99691,-1,-1,22466,1413,259187,745331,870171,-1,485267,111704,706082,60888,-1,385461,959790,-1,995305,-1,254648,-1,-1,138838,-1,120950,298232,350737,562254,313334,-1,554426,-1,175573,370913,349186,-1,-1,144362,150688,-1,742758,-1,-1,-1,332710,-1,836666,939220,502993,816951,78671,-1,262261,-1,505776,284780,505683,-1,-1,839612,-1,-1,116376,-1,738908,-1,963698,-1,123043,828697,-1,814684,594270,-1,660594,-1,-1,-1,362262,-1,-1,-1,931458,-1,849429,-1,-1,-1,263954,-1,232047,-1,-1,-1,27039,598401,-1,410245,-1,-1,624479,890120,-1,829544,-1,416309,-1,755119,85737,-1,52706,459749,-1,-1,-1,-1,81261,937185,909323,-1,-1,522987,546463,-1,929774,-1,-1,-1,92488,992715,901556,233222,68307,668580,197124,558308,-1,450710,-1,84638,209112,-1,-1,77910,719118,906740,115521,-1,-1,577586,-1,366206,-1,645560,594781,-1,472630,-1,-1,-1,-1,-1,504874,-1,-1,4706,-1,257883,353880,791542,61157,722454,566833,760172,-1,344046,-1,-1,78492,522910,-1,760958,-1,-1,-1,-1,-1,-1,303694,378566,437804,468609,742568,265619,879607,15454,633108,596889,814124,67347,-1,368006,-1,-1,702907,967979,296951,316449,518921,622731,97521,-1,-1,-1,27910,-1,-1,-1,283995,9656,934706,-1,-1,-1,805772,788940,888867,-1,98160,806042,-1,-1,-1,-1,230787,778933,148902,-1,-1,-1,728853,-1,-1,-1,-1,-1,-1,-1,-1,-1,186779,-1,-1,-1,831852,458336,-1,-1,-1,932229,-1,-1,-1,67958,-1,-1,-1,936093,-1,-1,-1,415562,-1,-1,-1,-1,269203,297221,402220,-1,166074,682437,-1,-1,590792,-1,441906,883664,-1,-1,244760,-1,583070,54468,-1,509177,-1,-1,-1,-1,-1,-1,755187,-1,784796,-1,-1,-1,-1,-1,411018,941290,-1,-1,-1,-1,-1,433434,968739,-1,676893,535633,-1,-1,-1,344203,-1,117612,-1,-1,187463,567477,-1,-1,-1,186756,-1,-1,728629,-1,544752,-1,178071,80851,-1,423698,243370,1978,-1,-1,-1,504938,-1,539177,568273,-1,-1,536811,-1,-1,-1,585015,686853,-1,-1,949389,287422,362804,-1,779281,416409,-1,-1,-1,5522,846575,25936,457288,946741,-1,-1,-1,-1,665611,-1,513941,949413,132046,-1,-1,-1,-1,-1,512965,829568,-1,-1,149008,558726,-1,52457,810740,829117,38715,355246,855663,-1,-1,-1,-1,883530,-1,-1,-1,239850,-1,498956,-1,-1,960505,264401,12839,852193,-1,-1,-1,575609,-1,-1,864823,260743,947247,-1,257112,36792,-1,-1,532836,-1,-1,823886,-1,-1,875663,630013,-1,255143,-1,870830,-1,15424,-1,-1,442456,-1,-1,-1,32577,-1,271808,-1,988223,720040,-1,-1,-1,-1,-1,-1,843416,596823,-1,-1,387199,529495,-1,587884,382360,868795,329146,295844,-1,-1,216787,-1,-1,-1,764809,-1,-1,-1,-1,-1,922940,202586,98705,909739,-1,-1,-1,383432,644015,-1,-1,-1,852408,197112,960481,579638,112499,-1,-1,-1,-1,148991,536456,160689,-1,782523,493675,732467,-1,60924,-1,-1,-1,-1,-1,908007,-1,386716,899108,374472,-1,348275,-1,666166,668845,520003,-1,-1,-1,-1,-1,967997,798260,-1,-1,115051,494418,291898,983956,854734,900719,598663,976568,779692,409805,-1,926411,-1,-1,733506,-1,299524,40990,204528,909106,-1,871757,988960,-1,242427,811056,-1,584835,670333,868507,115359,403070,-1,334175,-1,-1,-1,555079,616432,-1,544580,-1,323505,254054,147465,-1,-1,-1,846244,231096,436538,787458,-1,208531,-1,262813,874555,-1,-1,-1,-1,236976,-1,-1,-1,830641,592175,-1,-1,-1,-1,61419,-1,708056,965302,-1,-1,90516,596938,-1,-1,378846,-1,-1,-1,-1,-1,-1,679868,-1,641175,28592,923345,773406,517277,-1,-1,-1,805154,-1,-1,656118,842048,246036,-1,294089,-1,-1,-1,-1,-1,-1,636251,-1,473937,-1,451457,-1,-1,66344,760585,943260,-1,-1,393785,-1,378112,-1,-1,-1,566791,-1,-1,-1,304825,-1,-1,85624,256444,-1,752942,-1,77547,940828,898621,591963,-1,-1,147084,-1,-1,189267,-1,371255,-1,623643,608243,-1,370440,-1,-1,136026,102876,-1,159,-1,736349,746199,616417,-1,-1,901216,-1,-1,-1,-1,-1,250154,-1,-1,-1,474951,-1,-1,389282,-1,949656,12669,-1,543794,738236,60603,913166,-1,979970,631364,84943,-1,159028,911076,623513,576551,-1,-1,-1,-1,787945,-1,-1,-1,-1,-1,157160,736756,434455,153268,-1,-1,180348,51942,-1,-1,-1,762033,609529,-1,-1,-1,152748,11561,519070,-1,76805,-1,692870,-1,-1,-1,921983,229402,-1,13257,-1,-1,-1,226352,-1,-1,616718,923726,326071,505481,-1,-1,-1,349103,-1,-1,-1,944091,-1,-1,-1,-1,-1,-1,323770,333461,-1,-1,122570,165322,-1,-1,325669,303941,305096,761386,784368,-1,-1,-1,-1,-1,-1,881460,-1,-1,-1,987020,488175,-1,537388,-1,-1,-1,-1,-1,-1,782993,-1,29121,-1,-1,496040,655330,-1,-1,-1,-1,-1,-1,728334,658658,-1,-1,-1,745248,10450,-1,-1,336771,447808,-1,518262,314355,50803,-1,-1,892589,-1,-1,501738,-1,-1,899865,132702,2529,-1,354563,786886,-1,-1,971414,-1,180262,969665,-1,938128,-1,667465,-1,849421,-1,679820,148053,875326,157541,-1,542750,31774,526751,-1,-1,208518,-1,-1,-1,-1,-1,-1,878319,169799,-1,-1,14778,-1,-1,-1,-1,173459,-1,-1,641104,845855,243396,616596,-1,-1,160565,-1,867586,-1,734557,342684,-1,-1,-1,-1,170571,891837,-1,510800,996857,750296,-1,782990,-1,-1,-1,-1,-1,-1,727607,593062,815807,-1,-1,-1,592480,785122,-1,984059,-1,-1,592676,-1,81405,-1,53990,117083,212201,90773,387208,933817,170393,806719,-1,-1,445139,77629,222550,312652,-1,-1,507124,472857,-1,-1,146582,-1,-1,-1,770859,-1,175068,-1,-1,631352,198479,331395,-1,-1,706140,-1,-1,-1,-1,-1,-1,-1,-1,-1,238924,-1,-1,-1,-1,560654,994688,-1,-1,839518,780595,605826,113362,-1,-1,-1,123357,-1,-1,-1,910786,-1,-1,552286,-1,229995,-1,-1,-1,-1,533383,886034,217632,-1,-1,-1,-1,-1,-1,570311,-1,352141,-1,-1,-1,-1,132634,811669,-1,503333,741997,560576,-1,554431,687077,108329,-1,-1,-1,307494,-1,118491,118203,-1,122345,184859,-1,675996,732992,-1,-1,95473,566057,449710,527628,-1,69724,-1,-1,638062,-1,-1,72326,-1,-1,-1,-1,-1,-1,-1,-1,-1,416494,-1,-1,-1,-1,640782,-1,-1,99906,428611,-1,-1,613231,711411,250376,-1,-1,-1,862604,552257,-1,890048,-1,-1,-1,547323,-1,422842,-1,-1,-1,-1,-1,221552,-1,-1,-1,-1,28779,-1,820535,-1,674751,-1,-1,573158,-1,-1,-1,-1,-1,740976,312983,829308,974316,-1,446508,576444,-1,-1,-1,421009,-1,-1,673001,813303,-1,-1,-1,-1,771031,-1,-1,476845,541387,-1,-1,-1,575150,531166,130067,-1,-1,919744,-1,-1,-1,641993,432208,567026,33807,-1,106823,225886,864766,634794,-1,-1,-1,323345,926299,266370,-1,567998,-1,-1,-1,743894,-1,909460,-1,266855,-1,-1,-1,204335,-1,128977,297416,134125,373212,-1,-1,-1,-1,99960,-1,-1,-1,-1,-1,586136,53515,315247,-1,941729,352490,-1,184923,-1,-1,293574,-1,-1,57622,491027,-1,-1,-1,-1,-1,-1,32878,45920,273094,339420,100230,-1,-1,-1,324699,-1,-1,766174,116009,721699,-1,711348,731093,799742,-1,-1,547757,-1,-1,-1,-1,304947,-1,234211,27656,-1,-1,-1,-1,245923,-1,845268,594692,172852,454750,-1,99285,337208,861780,-1,-1,-1,-1,-1,-1,-1,-1,-1,131221,492669,-1,837148,537549,-1,-1,-1,-1,362327,-1,-1,-1,-1,-1,959578,-1,968488,-1,-1,414137,-1,-1,-1,12663,-1,900950,-1,616617,547742,-1,643171,-1,-1,-1,-1,637721,383578,584047,-1,-1,236992,467350,-1,914768,666502,933131,903033,649803,299213,803648,527297,-1,-1,272353,-1,450441,436396,-1,333893,455548,-1,904566,-1,-1,250832,488079,175948,976425,-1,218394,675297,950798,-1,938873,510558,-1,-1,-1,-1,37239,-1,-1,-1,-1,-1,533219,796848,-1,349018,413700,231375,715111,698863,146201,-1,120230,444427,681924,869697,634505,-1,-1,-1,-1,204155,932991,-1,-1,398384,-1,-1,134889,-1,535543,856915,449437,94239,-1,-1,-1,693744,963571,-1,-1,-1,393039,-1,-1,-1,243411,-1,678722,929381,875757,436397,105092,-1,245504,-1,883819,934753,-1,945511,529605,-1,-1,669113,572179,-1,394574,-1,651097,-1,49920,658876,482323,274699,925146,-1,190811,-1,-1,396792,-1,-1,-1,79003,134215,-1,-1,-1,244608,426891,658378,-1,113861,-1,-1,730761,-1,-1,-1,-1,241517,304355,-1,416638,-1,69720,-1,118296,894597,615900,-1,454828,-1,974016,-1,240593,-1,-1,85952,-1,619085,890669,510981,-1,818584,433294,313843,-1,-1,190658,-1,32478,302545,777048,179354,-1,124038,-1,943220,321233,-1,-1,984027,-1,-1,-1,313388,999012,-1,-1,-1,-1,429367,584592,30748,350734,-1,312052,921689,534422,-1,299434,801756,-1,213627,57580,447167,478544,716767,-1,201023,-1,533261,370714,70556,-1,472608,580125,-1,-1,327194,795142,842776,591164,-1,108782,964623,-1,683181,435272,-1,436129,-1,656032,126421,632983,-1,909767,898598,766587,737644,580608,-1,253673,296320,-1,-1,-1,775740,614510,787399,932407,281361,-1,-1,-1,-1,-1,646220,36865,442056,503630,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,536718,-1,-1,-1,-1,839246,-1,963142,-1,11953,228565,-1,606692,70728,573403,-1,-1,863726,-1,-1,-1,-1,219987,-1,807575,-1,225723,647992,185155,-1,558333,-1,-1,230503,-1,-1,-1,844192,306744,339026,448798,916910,-1,-1,-1,600014,-1,-1,-1,424867,585101,-1,122790,-1,826161,49900,-1,630266,385363,-1,304202,623089,-1,637221,868176,-1,657411,664269,69191,702664,803804,121417,-1,47471,83450,-1,-1,768920,-1,151357,389976,-1,618659,229060,-1,401956,19570,-1,-1,-1,248172,-1,328328,175231,744374,-1,-1,850306,-1,43257,-1,205575,-1,-1,-1,643733,15333,552863,201603,547441,393452,84534,748912,-1,-1,-1,512788,678940,583031,-1,981663,-1,-1,419450,131892,-1,2499,274497,-1,188077,921731,-1,666936,645835,-1,125429,-1,27496,-1,763388,458846,-1,-1,-1,-1,258852,999463,752459,-1,432277,-1,463162,-1,-1,433638,427962,107906,510913,223445,128229,643423,84960,868085,78648,-1,-1,-1,995966,-1,728872,218359,-1,-1,-1,714661,-1,38489,-1,608345,186363,514136,-1,696922,36238,-1,-1,-1,355266,357474,625171,232270,-1,-1,361085,157288,-1,328728,-1,727669,21231,-1,-1,-1,641334,538937,-1,-1,-1,527059,609128,633894,132217,-1,723724,146773,283390,691552,-1,524569,-1,627928,792130,-1,-1,-1,-1,-1,-1,-1,983517,90601,-1,-1,-1,-1,438451,107787,-1,-1,174985,818745,245425,272604,-1,129339,-1,84107,-1,-1,-1,-1,678267,-1,833377,-1,530243,180774,-1,613868,-1,734332,-1,230593,857103,935562,-1,-1,475241,-1,-1,241512,-1,-1,-1,645781,967992,-1,-1,522205,320052,538140,-1,-1,645890,235575,574809,-1,323194,-1,-1,92674,674298,173709,-1,-1,2469,532827,640980,440369,331318,770337,597834,-1,617458,533333,673485,86229,-1,572718,921834,-1,803579,-1,336078,-1,-1,-1,-1,-1,-1,-1,979411,-1,653345,910946,-1,794302,-1,546468,-1,458556,-1,949558,-1,-1,247595,729144,-1,276692,584576,-1,-1,550796,-1,-1,373227,-1,761435,-1,671573,-1,57156,993156,206321,-1,562505,180583,310247,-1,-1,510533,-1,-1,723299,301896,107131,891285,638232,-1,-1,824318,-1,-1,395679,97124,315342,537543,176427,-1,906674,-1,349863,747211,-1,-1,127817,-1,934530,390318,489505,612362,-1,-1,54763,223456,601753,-1,204543,742281,834623,-1,512150,-1,-1,826524,-1,-1,653970,-1,983971,-1,384924,40432,-1,-1,660574,149319,257525,550740,905991,630290,-1,727698,-1,775577,-1,-1,507106,-1,-1,-1,104635,697065,908456,-1,-1,623389,349620,769383,740815,726520,-1,-1,93895,-1,-1,-1,-1,-1,268013,485681,-1,304109,260165,449285,911035,468538,-1,-1,606143,-1,-1,-1,-1,-1,629213,-1,406070,922233,-1,328725,275318,-1,-1,240956,485796,972192,195145,291966,857861,-1,-1,782839,-1,-1,-1,633727,-1,903655,-1,135152,967852,672723,-1,-1,-1,-1,-1,751178,-1,221777,984487,272869,-1,693108,-1,941793,403398,861135,-1,213282,594439,-1,847696,-1,106470,-1,-1,719281,828143,-1,13179,876716,606863,-1,-1,481077,-1,-1,-1,-1,861992,619515,229753,-1,737547,606163,-1,-1,-1,513795,611910,-1,98456,242068,624323,-1,487259,-1,-1,978625,-1,654525,27801,929094,177216,275399,225647,678211,352431,-1,223081,576048,-1,-1,-1,176168,-1,-1,-1,-1,-1,164955,555773,-1,82758,640668,933631,-1,651270,395898,-1,-1,-1,-1,783671,-1,294920,-1,-1,33591,277940,915443,530307,633276,-1,527334,-1,894855,-1,494802,106929,-1,241750,-1,-1,405428,-1,261303,-1,868455,545959,-1,-1,629024,573347,-1,-1,5000,-1,668429,-1,23578,907004,-1,393388,501184,76468,-1,-1,-1,-1,-1,-1,205885,583929,-1,-1,-1,449386,300535,-1,-1,-1,743845,-1,-1,36157,114840,104616,214986,-1,609085,-1,23877,-1,725646,-1,-1,-1,546045,-1,-1,413101,961831,285242,-1,-1,388316,-1,161772,866467,636535,83841,-1,846786,482672,-1,-1,371869,494478,62802,-1,-1,110775,438165,769809,-1,-1,-1,883848,-1,504757,-1,17418,-1,-1,697784,133347,-1,360911,-1,-1,-1,-1,198796,15288,-1,-1,-1,523173,-1,296810,-1,205306,381758,990965,147749,-1,729012,-1,-1,330047,405757,-1,-1,-1,-1,202100,630658,922846,-1,860643,545636,-1,227368,-1,152419,-1,-1,834266,355900,301245,-1,421120,796590,46216,935433,-1,-1,921640,48851,-1,-1,800210,855980,-1,236053,153486,263897,-1,-1,351861,505101,-1,375783,-1,107811,-1,-1,-1,271571,313034,-1,906356,-1,916689,-1,94777,-1,-1,726327,-1,-1,971219,286880,871488,-1,598045,480038,-1,-1,994556,-1,-1,141607,866501,-1,-1,57617,909853,379637,-1,-1,305090,-1,-1,-1,982841,-1,-1,-1,932471,66633,912368,679375,-1,493416,380584,336334,379147,995244,50998,-1,329084,-1,-1,833410,-1,490970,-1,811098,60780,656789,668857,-1,-1,84787,-1,-1,918961,122327,-1,-1,470818,-1,-1,627571,9498,-1,-1,-1,-1,-1,163863,886933,-1,349026,-1,257287,416584,639708,-1,-1,-1,563388,-1,556288,468433,860682,876252,-1,-1,518145,5550,974140,-1,-1,-1,-1,427425,-1,361882,897622,-1,-1,-1,908265,-1,538995,369631,488290,-1,-1,307997,-1,-1,328561,604278,-1,-1,-1,262157,-1,-1,-1,78765,511088,-1,-1,-1,150390,-1,-1,-1,49629,109830,-1,-1,762259,798228,-1,-1,-1,657846,-1,331731,716474,914612,140920,-1,-1,-1,229693,900093,-1,822833,-1,759754,379980,265666,809518,46090,168709,-1,162471,-1,-1,-1,626338,-1,737525,-1,664203,61242,-1,520306,138787,-1,-1,-1,760469,773009,-1,-1,-1,936747,-1,93634,-1,-1,-1,-1,-1,-1,79705,-1,939839,601998,-1,-1,931747,-1,143926,846001,424189,-1,-1,-1,431737,656569,587160,827992,782851,-1,-1,961284,-1,642134,650157,628967,-1,-1,-1,-1,574578,830882,-1,-1,636902,920853,962985,-1,523200,391913,817987,-1,-1,-1,-1,-1,383685,898112,264852,-1,389392,254155,-1,-1,748279,241901,851851,885607,609645,-1,-1,965166,765748,616579,-1,729468,-1,97971,-1,169986,-1,-1,696570,996237,705972,-1,-1,629750,-1,681504,-1,842100,-1,973280,270877,515572,26482,-1,786260,235299,-1,-1,143989,7853,898730,34173,553033,284925,-1,887140,-1,947245,-1,-1,-1,-1,162401,-1,-1,-1,795336,-1,-1,75697,715836,-1,-1,515701,-1,297777,-1,-1,-1,767279,-1,626558,849668,332450,-1,622834,31819,463221,643265,879437,-1,-1,164373,-1,-1,854331,871041,729202,-1,671579,311678,-1,-1,50659,-1,-1,-1,-1,-1,482918,-1,-1,199390,707029,-1,-1,-1,-1,185971,-1,-1,-1,137497,83987,-1,-1,-1,847796,-1,-1,976725,960998,-1,-1,902162,-1,-1,-1,-1,245346,-1,407324,594812,-1,600857,-1,897664,238448,429906,-1,63482,-1,-1,570533,806722,-1,-1,-1,482538,827950,-1,-1,993124,796401,-1,199789,-1,512147,-1,285435,-1,-1,-1,604466,411660,-1,582530,238992,772244,-1,363731,-1,93194,-1,130316,802280,68538,514095,648427,-1,-1,950796,712031,-1,725706,-1,598219,-1,-1,823675,-1,879407,27701,643577,999652,-1,263111,231887,-1,-1,-1,95236,668828,-1,-1,833922,765961,213281,-1,-1,-1,992592,-1,-1,-1,235303,-1,-1,42649,761692,-1,471052,-1,376283,860477,189051,-1,807324,-1,-1,354537,401313,700165,552694,-1,205989,-1,-1,141370,894268,891546,29616,-1,-1,957526,-1,19068,227564,-1,299201,346534,983325,586432,-1,60879,-1,581863,-1,-1,89001,-1,-1,-1,610564,-1,703691,-1,-1,-1,-1,156182,-1,44751,3643,657207,-1,-1,84078,159148,-1,956075,-1,-1,-1,-1,-1,660219,-1,-1,914534,777248,245559,-1,518594,-1,-1,-1,-1,-1,-1,-1,-1,546693,-1,842485,270555,-1,-1,-1,-1,-1,368682,15852,660244,-1,-1,24643,414673,588067,218601,836925,446979,-1,-1,919287,859294,627927,820198,742592,213398,801958,-1,244326,130414,-1,766204,476560,-1,423766,-1,573753,-1,-1,485544,352208,-1,173065,993319,53279,-1,-1,588656,420269,753380,-1,44753,507442,183965,948740,685823,-1,-1,-1,951605,-1,-1,-1,-1,620152,-1,984655,-1,353970,-1,856571,137804,915742,197019,-1,-1,282718,451086,72224,-1,589857,540054,359852,186241,-1,-1,300632,-1,292654,748107,188953,93183,-1,-1,-1,858247,-1,-1,-1,780331,989162,-1,-1,-1,-1,-1,872217,952428,836225,461308,176034,-1,-1,1075,-1,-1,330898,933110,669181,547157,-1,954876,693500,277254,226302,689851,441486,123306,-1,84757,21380,165853,-1,-1,94998,18838,-1,861745,-1,-1,236111,-1,289161,533479,-1,597501,527659,990932,51971,-1,579677,-1,-1,-1,-1,-1,-1,-1,749637,710966,176898,711993,-1,992321,515014,738527,425883,359952,984296,430581,537744,234271,-1,-1,483313,-1,53841,-1,927663,-1,759282,498335,-1,-1,-1,-1,21770,852239,-1,685100,-1,993777,316303,-1,-1,276714,618395,-1,-1,113682,6402,830327,566103,-1,923783,865993,546103,-1,929555,-1,-1,645766,-1,-1,397322,138037,-1,268700,-1,665819,-1,769670,527997,770726,-1,-1,583958,-1,54545,250392,936850,-1,-1,-1,188773,-1,854018,-1,203797,800943,-1,58171,984040,-1,411211,699763,-1,-1,44853,485380,484678,854887,872003,484261,-1,-1,148219,812252,-1,-1,119333,-1,373018,-1,-1,453996,-1,-1,710464,170358,-1,-1,-1,206840,299392,302364,-1,546652,-1,-1,221053,-1,850800,-1,-1,295092,561610,-1,331467,-1,916142,-1,-1,-1,-1,-1,-1,639722,165805,172339,-1,581686,-1,-1,-1,-1,750949,-1,-1,7032,844016,830775,143464,-1,-1,-1,921382,-1,360720,-1,110140,296116,113759,-1,-1,-1,-1,-1,-1,78989,494329,-1,-1,312170,39735,-1,-1,-1,-1,-1,-1,-1,-1,290438,902988,-1,-1,284422,807735,-1,50832,-1,9699,108088,898971,-1,-1,-1,-1,855018,961463,-1,-1,-1,-1,918995,-1,-1,-1,726697,-1,354344,-1,15128,-1,-1,459722,834568,-1,-1,-1,-1,820042,-1,-1,576991,-1,760226,91351,-1,505045,333582,595642,353382,220884,604894,-1,-1,-1,-1,670796,-1,-1,488530,763672,559268,-1,418860,-1,322956,492960,-1,-1,-1,-1,647419,863535,-1,-1,772495,214509,-1,928759,853749,-1,-1,696115,366331,430006,-1,-1,-1,870369,512582,817866,893776,-1,-1,819526,-1,-1,826781,645018,-1,776027,733786,-1,-1,-1,278637,817437,-1,98707,-1,-1,80659,-1,-1,-1,-1,473999,-1,-1,-1,-1,-1,-1,113292,380487,-1,270643,-1,960603,750208,-1,264268,366494,489481,306997,-1,-1,275276,-1,46069,-1,-1,-1,-1,681910,306009,584998,211756,107148,-1,279586,105299,-1,253389,788268,26541,815643,140784,-1,975944,601564,-1,126670,-1,-1,-1,374709,-1,38334,-1,-1,-1,-1,860157,-1,496885,574569,460021,-1,-1,-1,120802,-1,-1,-1,-1,-1,-1,373798,-1,24102,-1,369263,477659,-1,-1,445478,311974,-1,-1,-1,645806,499592,-1,444629,-1,743266,85876,461046,845017,398517,-1,-1,320430,131222,-1,352353,584719,-1,368150,852679,934856,116939,103375,-1,-1,-1,69306,162508,-1,-1,-1,-1,-1,769758,379059,913303,492137,-1,-1,791930,654089,-1,391095,-1,364724,442668,-1,563065,-1,-1,405182,-1,959203,259777,126673,-1,377133,280825,466678,-1,761677,-1,-1,-1,-1,259739,-1,-1,458484,-1,499747,-1,587397,-1,-1,-1,-1,-1,451345,553110,702033,365015,-1,-1,-1,199657,375985,773431,-1,809255,64047,527793,396275,436518,-1,-1,-1,-1,422294,360089,-1,366713,-1,-1,88965,-1,-1,994750,-1,21818,94315,943824,-1,990449,-1,-1,672434,315629,594455,-1,-1,-1,785561,-1,-1,-1,-1,111055,101347,804993,709827,-1,-1,-1,308836,883558,985401,466939,214393,-1,239337,-1,-1,896800,-1,-1,29306,-1,351639,-1,580524,660290,444468,-1,859995,-1,20953,-1,-1,161295,-1,-1,8056,-1,-1,-1,-1,462861,739982,-1,40068,-1,975024,312539,850737,628658,-1,217652,629391,429099,491055,-1,-1,-1,-1,-1,-1,870585,-1,730816,227239,10895,111232,648373,-1,-1,634236,-1,964510,-1,-1,988908,-1,281184,222738,-1,-1,61842,-1,741792,183971,-1,-1,-1,-1,-1,533162,-1,-1,383503,440738,-1,-1,651891,149459,-1,-1,-1,-1,804916,179445,521616,758508,-1,-1,539727,310007,-1,584385,-1,-1,-1,320657,-1,115313,-1,611823,915281,388297,-1,931550,-1,626166,118311,-1,-1,195399,-1,-1,-1,965957,686055,-1,801052,271146,-1,402106,181857,-1,127378,493866,629999,-1,-1,-1,-1,979776,-1,-1,497496,-1,-1,-1,314170,-1,341682,957576,358982,-1,-1,365732,566075,295202,-1,641245,-1,301673,177347,-1,-1,17074,739332,738796,435927,-1,953456,-1,904980,483426,-1,164371,-1,-1,-1,-1,-1,-1,-1,620442,124338,834974,887375,166070,398201,97267,233046,71332,954339,-1,288668,638215,-1,-1,-1,251440,-1,-1,808958,282648,920051,-1,388849,961112,549178,-1,938001,-1,738865,957507,-1,-1,-1,534985,641647,530322,359859,-1,488525,-1,-1,-1,628863,-1,26955,-1,-1,-1,827878,-1,-1,306243,206565,83368,-1,93495,-1,530812,484042,355953,-1,-1,-1,-1,-1,-1,875840,801965,254268,153423,-1,551485,-1,-1,583294,-1,-1,777061,82273,-1,-1,513211,-1,903179,-1,476748,189693,15680,-1,655210,-1,694599,450235,-1,-1,46458,-1,498619,611811,400888,951302,22760,-1,-1,895591,-1,393826,-1,553323,601919,-1,706439,714344,778281,731568,-1,740470,-1,-1,-1,348336,982399,555267,56447,-1,-1,-1,-1,776629,-1,-1,-1,-1,-1,-1,-1,565191,-1,846038,-1,598414,446090,-1,136212,-1,-1,-1,399247,-1,744825,756917,757232,-1,-1,-1,-1,686001,666372,10756,383620,473366,-1,141190,394485,310908,-1,-1,240808,-1,-1,849289,853702,-1,149249,133989,-1,-1,274077,-1,-1,494687,-1,800072,904920,845173,-1,-1,890673,-1,892867,-1,-1,-1,686038,992949,704233,-1,-1,-1,-1,-1,75125,924161,-1,879542,20416,-1,722043,517923,774583,-1,586949,898039,-1,918855,34183,-1,-1,490573,539268,-1,738579,287433,-1,759205,757154,-1,-1,125703,-1,-1,672268,-1,-1,669944,-1,-1,-1,-1,101059,-1,224539,-1,-1,-1,42564,844492,441304,-1,627145,-1,-1,122225,394988,239134,-1,381094,-1,-1,-1,857443,-1,-1,793247,-1,408394,167305,478996,934307,317023,413651,-1,21395,482904,386015,430620,-1,119153,-1,159709,329852,-1,672052,-1,805633,-1,-1,131134,367453,-1,-1,-1,-1,250211,-1,-1,-1,-1,457280,931404,-1,-1,585535,-1,98699,-1,490232,-1,749254,30738,-1,839987,209350,-1,-1,-1,205538,-1,736912,-1,67760,622686,791306,35296,350155,702906,-1,-1,248381,-1,-1,-1,-1,365442,-1,-1,-1,-1,78770,944761,789981,-1,-1,-1,278242,-1,-1,800470,-1,-1,5028,-1,-1,737795,-1,979771,995472,450984,800817,668107,-1,-1,377489,761957,116670,713440,441253,-1,-1,682277,953063,-1,583769,-1,-1,483379,-1,603437,857912,-1,266119,-1,608802,741649,398755,-1,-1,372662,336065,169306,-1,310093,-1,-1,428311,469423,551787,892153,-1,-1,-1,-1,-1,-1,805340,-1,269842,303395,548029,570006,-1,389099,-1,-1,963048,-1,-1,-1,-1,273578,762912,-1,-1,-1,417743,42541,639131,-1,-1,223443,-1,-1,-1,633185,264626,-1,624898,-1,-1,201347,361721,663270,264868,-1,477175,776929,-1,-1,924044,-1,964830,908908,-1,513653,223501,601648,575403,724461,-1,728290,374849,739209,971886,142831,-1,210736,-1,256476,-1,246751,676430,-1,-1,-1,923154,-1,836505,-1,-1,-1,863139,-1,-1,-1,867895,19514,-1,-1,22904,658268,-1,661580,981272,-1,969184,508076,678078,433750,-1,751289,-1,918535,-1,386670,-1,-1,-1,807533,594517,-1,423048,855667,764821,367482,729936,604328,-1,599398,-1,-1,821000,222409,102617,-1,898727,361423,439795,375127,-1,608032,574075,-1,-1,755551,678314,803630,506993,745790,-1,-1,976012,380924,-1,207815,736255,383597,-1,613720,565079,864365,79984,-1,314365,-1,-1,169904,-1,988031,-1,29781,55395,18146,410153,723585,949526,122878,720227,377087,-1,-1,747196,21186,-1,493670,132837,632512,-1,846568,594917,591550,-1,322457,311352,150657,677565,435840,-1,-1,-1,-1,-1,236665,-1,119676,174998,62488,932703,-1,635084,796010,-1,64580,363523,145806,-1,-1,-1,530255,13270,-1,926857,-1,760683,552166,-1,363100,-1,208897,518204,728563,-1,47858,-1,-1,-1,-1,412748,-1,837047,58621,-1,693725,-1,38648,614808,-1,495632,703932,749077,-1,317861,-1,-1,995,235930,-1,-1,-1,309500,41692,-1,63137,239279,-1,-1,798427,-1,205458,343001,-1,-1,-1,676914,-1,-1,857838,542483,-1,139514,-1,244464,787548,931135,-1,-1,-1,723179,-1,-1,476019,-1,877189,532295,-1,-1,-1,-1,385861,379989,-1,-1,725220,-1,617707,100432,-1,-1,-1,-1,462904,-1,-1,928720,-1,390216,639508,-1,366318,-1,444947,729569,356563,57395,-1,-1,-1,-1,-1,647695,736181,721634,-1,906883,368237,-1,-1,791883,757640,-1,364697,-1,53037,-1,553039,809844,467819,239416,-1,-1,740033,463689,780137,-1,710503,-1,-1,92859,968297,-1,-1,-1,-1,572022,-1,-1,-1,-1,-1,-1,478107,616789,303808,879955,-1,878525,4249,832254,-1,566380,-1,751416,-1,646183,-1,742037,-1,240267,410168,33632,-1,-1,891927,-1,504531,675704,15946,-1,689027,-1,965895,160679,967406,582986,253023,-1,456881,82856,532469,-1,525509,-1,-1,962488,-1,-1,-1,17748,185510,291959,-1,642943,286821,-1,-1,928492,-1,63591,889047,692864,-1,-1,-1,556629,741916,-1,-1,491346,359222,780429,-1,-1,-1,-1,-1,982252,-1,30781,-1,-1,324408,-1,-1,-1,191122,-1,-1,288637,338119,278948,994064,-1,901750,-1,-1,-1,92470,690154,-1,-1,-1,227079,-1,192891,-1,419121,642366,-1,40984,523645,125872,426152,-1,197528,-1,304653,493059,-1,620097,-1,357851,140234,366054,986526,400189,587848,273851,588301,-1,74847,958652,-1,816276,395289,-1,-1,-1,597580,-1,766351,362637,251766,-1,-1,149015,-1,787708,-1,-1,-1,-1,-1,-1,31130,-1,-1,-1,-1,993225,804374,-1,250716,-1,781039,652393,152318,-1,343470,-1,967594,329064,-1,-1,-1,-1,637874,-1,-1,573209,183838,493170,742015,-1,-1,-1,39143,-1,638823,589893,-1,-1,-1,33895,500559,449105,243372,588265,-1,798433,-1,66867,856485,-1,588374,-1,-1,151270,-1,497802,701605,296793,229858,-1,126822,-1,169697,-1,446562,528950,-1,958284,-1,-1,-1,-1,711846,-1,-1,-1,394522,377390,-1,-1,971908,663503,-1,-1,-1,-1,-1,986837,-1,395704,-1,-1,401344,290342,995041,-1,-1,732247,645645,310635,-1,-1,654769,514198,-1,971943,-1,-1,-1,594615,842337,-1,-1,842597,-1,-1,326609,-1,-1,229446,-1,-1,549175,-1,-1,-1,147405,491853,-1,-1,-1,129654,-1,-1,-1,191593,658859,138010,-1,-1,-1,-1,-1,399597,51653,-1,-1,-1,518730,-1,-1,-1,-1,344433,-1,496356,-1,-1,-1,-1,646043,918764,-1,-1,-1,320660,-1,-1,920567,-1,701223,-1,244044,-1,441987,971613,-1,-1,325539,544821,-1,708838,397314,672486,-1,-1,-1,-1,-1,-1,-1,-1,422410,409834,360046,144463,292911,324355,559457,243743,876943,-1,-1,856133,902718,669780,-1,570933,-1,90664,687519,-1,-1,44358,59051,-1,-1,-1,412690,24624,-1,718552,285148,-1,135196,-1,337246,59770,732427,-1,-1,-1,261288,184771,-1,-1,767724,-1,-1,-1,-1,-1,-1,-1,-1,390453,-1,-1,-1,59723,921841,-1,74188,-1,-1,238121,-1,656006,844324,-1,-1,-1,701523,867980,-1,-1,209300,693851,702306,-1,388967,844211,693397,359928,226759,504836,509518,557425,-1,-1,315851,-1,53669,-1,436639,-1,-1,359700,726525,-1,461434,-1,-1,276331,559762,79454,-1,-1,112093,-1,408786,-1,-1,-1,-1,668827,-1,-1,-1,604970,772256,132897,833827,-1,7894,865763,-1,172455,164976,218906,268424,-1,204778,572700,900823,-1,-1,-1,-1,-1,-1,-1,58264,988900,230152,739634,164447,634222,138675,61418,-1,-1,766018,-1,420074,23176,-1,-1,-1,-1,-1,-1,-1,182728,938691,-1,672004,963526,-1,133307,289470,-1,51688,-1,923211,40885,-1,-1,120108,-1,334123,-1,-1,-1,168348,621995,-1,253013,799923,-1,-1,418637,-1,583402,-1,348706,904806,-1,492606,166736,173179,129573,904463,-1,897981,-1,249945,622215,667037,-1,-1,-1,983667,-1,647021,118307,730109,-1,889501,-1,-1,-1,312959,123171,-1,845904,796295,401440,-1,885336,-1,907960,-1,-1,639795,-1,884965,793373,-1,-1,-1,453348,776282,711432,-1,-1,267289,241892,166684,1510,926716,230406,802652,-1,218373,-1,588805,-1,-1,-1,802145,377348,-1,-1,-1,919875,986529,372746,48817,658946,683519,-1,-1,-1,-1,-1,354176,-1,490363,604625,-1,-1,694770,880892,-1,-1,-1,-1,328156,-1,-1,-1,-1,320493,-1,300582,599763,-1,-1,-1,681058,648859,-1,209555,474064,-1,-1,275630,-1,745897,-1,-1,-1,200705,-1,-1,-1,910964,-1,264168,-1,220664,-1,795981,554156,-1,949949,-1,-1,-1,-1,718795,851391,342475,-1,335281,504212,289386,222215,-1,129164,666162,557302,429091,-1,854737,-1,512032,-1,465889,101518,961873,220340,-1,-1,439444,476330,-1,-1,899430,-1,-1,-1,-1,477579,-1,285421,-1,-1,35359,633441,-1,-1,992842,499207,-1,918712,-1,-1,68684,-1,786009,419728,-1,-1,-1,327961,-1,652846,437453,741312,-1,806540,795406,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,487161,-1,-1,300541,-1,-1,-1,532917,189656,889312,683282,-1,-1,-1,961076,-1,245170,472351,872498,-1,-1,-1,-1,445824,-1,-1,-1,-1,-1,-1,-1,731618,-1,906196,-1,-1,728969,676570,75653,-1,-1,-1,393650,45573,74851,5884,314756,88000,-1,946027,-1,-1,-1,-1,-1,908389,269695,-1,160986,-1,-1,-1,847591,358285,435418,-1,-1,105635,-1,-1,-1,800763,-1,-1,130031,-1,-1,-1,346058,-1,281993,-1,607599,-1,474685,-1,-1,-1,195720,-1,64552,-1,336414,-1,-1,-1,521602,-1,-1,960292,-1,497154,838957,-1,-1,-1,-1,216582,995585,-1,438915,-1,339148,-1,104068,213871,18711,-1,-1,-1,-1,28361,-1,-1,-1,712641,-1,70875,-1,15040,876515,139646,165145,-1,686572,-1,-1,985957,455393,-1,627084,585587,-1,-1,-1,-1,732569,362710,-1,478344,245274,982553,-1,759827,51110,-1,-1,-1,-1,593759,154488,-1,686253,-1,-1,780337,-1,61884,889927,-1,666730,-1,59535,-1,-1,146902,63936,124654,-1,714291,209836,673342,399898,-1,-1,249545,495153,531945,346241,-1,536772,-1,339134,-1,399916,-1,713700,-1,673829,338101,-1,374844,-1,-1,-1,-1,932185,-1,-1,-1,978161,56720,993425,226166,945827,149960,897856,-1,-1,881804,-1,716540,27592,-1,-1,-1,-1,-1,5792,620632,837342,682412,-1,214323,228782,-1,297268,630145,-1,-1,-1,927952,104474,609059,661710,517630,-1,506925,-1,-1,-1,392848,787287,-1,78284,-1,-1,-1,-1,-1,132601,-1,-1,970314,874608,-1,-1,556561,116661,-1,541595,-1,-1,-1,251915,771111,902004,404334,405138,25587,668748,-1,-1,-1,-1,563269,600902,608422,-1,-1,790770,282146,706401,-1,-1,831854,524467,176717,-1,932466,403939,-1,-1,-1,-1,497219,968374,738461,-1,173153,-1,-1,576479,201382,-1,115441,7554,750718,-1,-1,556722,-1,-1,471875,-1,-1,-1,-1,305468,-1,-1,294040,971725,833321,31733,-1,-1,403643,-1,994599,-1,408404,-1,-1,406627,-1,-1,717760,-1,496907,-1,670020,632141,-1,345209,-1,198298,357372,-1,-1,-1,3570,-1,478230,624523,708179,-1,-1,35866,588753,495016,339478,224637,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,86919,-1,191187,-1,8785,-1,-1,-1,-1,504441,703110,-1,554729,405542,-1,960403,-1,929434,702681,-1,-1,362698,159919,8129,80615,65057,-1,-1,-1,-1,-1,-1,434629,-1,-1,-1,725475,654048,207413,295397,-1,942901,-1,-1,582950,-1,-1,741789,-1,821624,-1,-1,440666,306743,-1,-1,-1,-1,-1,-1,34372,-1,115852,931718,858213,-1,-1,460517,-1,-1,-1,188566,-1,811857,-1,961235,218005,593415,-1,-1,237882,-1,-1,-1,493444,-1,326735,-1,68813,-1,-1,-1,-1,-1,-1,-1,-1,796340,264572,-1,-1,-1,134387,410288,452824,389097,453325,-1,661911,-1,589421,-1,924870,-1,-1,-1,9587,-1,524594,934604,665205,156890,721366,434903,-1,164914,890832,922811,555828,88906,897827,729091,333010,127284,647911,226065,-1,-1,421773,117099,-1,624583,358768,608114,-1,-1,514975,517518,382994,-1,354777,-1,-1,-1,66060,-1,473133,598941,133680,-1,-1,89739,901388,995885,-1,819011,940159,-1,965367,-1,611931,-1,-1,348192,-1,-1,-1,20007,558541,-1,276659,955010,95305,-1,-1,790756,992588,412468,-1,-1,-1,831906,436896,370625,408228,899661,-1,-1,-1,-1,666192,-1,-1,-1,-1,794082,-1,220821,-1,-1,-1,-1,340258,-1,-1,992269,612481,-1,763946,-1,-1,-1,434707,534084,-1,662339,-1,-1,-1,286217,-1,519551,168017,-1,627799,-1,969767,-1,393021,-1,-1,886025,142116,559199,788284,-1,724409,715023,673767,522181,-1,606947,302752,436075,762800,-1,464557,833319,-1,-1,985561,340427,-1,198585,964134,-1,-1,520737,-1,-1,-1,836035,-1,225379,197703,-1,-1,-1,458550,889663,-1,-1,201185,262866,-1,-1,163226,-1,850155,236726,-1,744863,493968,-1,548826,254256,-1,659900,704187,-1,-1,-1,691968,600814,-1,222274,586010,-1,-1,761605,-1,681708,-1,882449,-1,-1,-1,34761,18616,684150,-1,701049,974965,885955,499995,562337,-1,-1,-1,136975,-1,844475,935803,-1,451064,-1,-1,152302,-1,950481,471640,731382,717028,529119,-1,829013,987343,-1,430431,975354,-1,973609,399973,78224,-1,88040,-1,-1,473778,474225,-1,525740,824391,817474,501176,295218,-1,-1,-1,215138,-1,636688,-1,580198,-1,-1,853185,-1,-1,748083,554699,-1,966820,-1,-1,972169,-1,410315,-1,380975,843560,55181,697132,333441,-1,-1,749298,-1,-1,-1,917073,696787,50138,-1,297815,-1,-1,502458,-1,-1,-1,117017,420054,974857,478580,-1,-1,203814,215434,839766,-1,-1,351137,493122,-1,805289,272705,-1,-1,962473,811208,289762,-1,690166,-1,-1,-1,214392,-1,-1,650847,139198,-1,-1,835996,668970,367295,811913,-1,-1,-1,-1,-1,967713,-1,342320,457937,-1,-1,670279,-1,-1,-1,-1,-1,723083,-1,-1,-1,220363,601610,-1,454274,-1,-1,177561,990069,873945,931953,153957,-1,469147,-1,-1,945877,944060,-1,-1,340364,241331,133779,-1,-1,-1,573533,135933,-1,777208,-1,734972,201908,502493,481224,218964,824385,776322,849607,-1,854665,56152,622242,742705,944018,994172,-1,-1,-1,759190,-1,-1,-1,295521,-1,-1,718372,-1,-1,2411,744273,234137,250539,-1,-1,-1,-1,-1,280214,21659,720785,541558,-1,922013,-1,-1,-1,-1,957369,625351,-1,-1,445064,318425,764538,386771,593428,-1,41922,-1,-1,-1,47651,777077,-1,-1,161798,437213,50635,-1,31646,298673,-1,-1,849924,136578,-1,903272,71466,275082,-1,544644,-1,-1,-1,-1,-1,-1,-1,874973,698882,-1,-1,162173,705545,-1,-1,945405,741421,342338,-1,525118,538639,898808,-1,1199,-1,730777,536300,-1,40688,597984,-1,353286,-1,632206,945039,-1,-1,521749,-1,416051,636125,150745,-1,-1,-1,-1,93260,-1,-1,233673,980461,-1,321500,586992,114395,98993,226476,-1,795077,-1,766022,-1,970815,-1,-1,655085,554950,-1,556757,990006,-1,-1,948379,-1,995373,747617,464376,-1,778378,664357,32710,-1,559434,-1,200547,-1,740512,732461,161927,325131,153506,766770,147327,-1,-1,-1,-1,391414,565182,-1,-1,-1,378740,-1,-1,57801,20529,-1,949747,795409,392305,597702,619828,250330,318207,-1,353171,-1,-1,-1,981094,829350,940823,-1,-1,547782,337790,310818,33203,-1,-1,373341,463240,490398,400545,907491,-1,959483,-1,428620,-1,-1,680173,-1,225703,585763,-1,-1,674882,265594,250812,-1,560662,167225,-1,-1,165048,-1,100406,-1,908129,315205,-1,174881,-1,-1,862553,-1,-1,-1,-1,-1,107471,-1,894610,-1,-1,-1,-1,131967,841587,396538,673280,635154,-1,978873,939336,94371,690837,-1,-1,-1,-1,-1,490211,210855,503181,382156,-1,687330,666346,-1,-1,-1,-1,-1,-1,-1,-1,716289,605209,863365,190267,-1,-1,222783,319624,331249,-1,477820,-1,150125,740067,739500,376396,-1,291733,171931,-1,-1,194420,279381,-1,428727,62794,-1,46704,-1,281978,-1,536172,-1,-1,-1,115791,-1,-1,854118,-1,-1,472137,269305,-1,-1,995381,-1,-1,-1,21721,79651,391144,-1,-1,-1,-1,-1,153054,302598,251776,-1,294106,-1,628464,283859,-1,518437,-1,568062,-1,330442,-1,-1,-1,266070,731738,-1,276,-1,-1,-1,887151,-1,502157,-1,512575,-1,312380,144646,-1,107665,846075,-1,-1,187548,-1,-1,450926,824107,-1,235643,7532,-1,561460,-1,855741,-1,-1,188469,-1,697846,931453,740925,-1,842180,-1,473640,795679,-1,237636,-1,-1,-1,902235,-1,-1,-1,907460,-1,-1,-1,224282,677867,453916,-1,2328,-1,-1,-1,-1,-1,286830,907740,-1,323719,406191,650335,-1,982033,948505,-1,-1,-1,89757,864055,-1,-1,-1,753435,-1,-1,-1,-1,-1,-1,-1,880302,19181,262701,-1,863022,33413,-1,510119,870790,284847,-1,-1,-1,893408,-1,381766,835031,-1,-1,-1,639296,111137,62513,-1,-1,839889,-1,660887,-1,193987,937063,418415,933617,-1,913715,357536,-1,160433,648808,888456,73089,400794,292282,866631,-1,201196,839910,-1,600574,-1,524138,705287,-1,-1,83793,423898,238258,-1,135348,619777,-1,782671,239397,-1,-1,311590,-1,663729,-1,343481,655467,-1,-1,409139,597196,-1,-1,-1,50493,7305,-1,-1,-1,691271,-1,-1,453654,243152,306883,246266,801011,-1,-1,-1,-1,-1,-1,814481,-1,937821,810762,-1,-1,450642,211557,131322,317096,802967,648732,-1,-1,-1,-1,-1,-1,112361,39372,262293,-1,-1,312176,159387,-1,949347,-1,167850,63916,-1,504503,-1,-1,-1,-1,897742,-1,364861,456612,426322,746184,822151,-1,641881,-1,470489,-1,-1,-1,-1,100293,-1,-1,-1,711526,-1,35869,-1,959720,162708,784628,-1,209990,642844,-1,244519,366874,-1,-1,-1,474636,-1,-1,810006,588682,-1,391975,-1,-1,639572,95195,-1,-1,89396,114654,-1,125255,462799,264152,178194,313486,-1,14770,-1,439442,-1,135898,-1,301957,-1,-1,-1,918798,954082,680844,305177,753599,157588,529701,-1,523466,659276,-1,211333,-1,-1,-1,990030,-1,112451,-1,107935,929367,602469,278661,-1,106271,-1,385394,-1,601123,197347,700233,-1,275298,849569,583443,831861,831611,178041,91321,-1,-1,-1,191017,975261,-1,600727,-1,-1,423916,-1,51787,370151,624278,-1,880225,-1,473208,-1,-1,887744,808832,309730,-1,-1,357814,-1,424226,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,398896,622006,721705,-1,42312,958521,482601,725723,-1,553508,212512,11825,-1,331127,815280,-1,-1,495091,-1,424355,511930,439123,-1,-1,-1,-1,-1,361239,-1,-1,-1,218594,-1,477447,180064,512241,-1,446883,235989,-1,-1,796872,265853,-1,25434,507325,-1,75383,-1,-1,598164,81548,93396,567215,353003,-1,-1,942758,874173,633991,-1,-1,-1,-1,158588,-1,-1,586514,-1,959363,135854,791713,-1,45944,-1,19367,133040,-1,510025,54209,-1,198326,-1,-1,915271,-1,-1,637061,261520,-1,-1,-1,180859,923580,-1,83581,871928,-1,-1,-1,71889,707632,-1,-1,-1,-1,-1,-1,-1,608043,94508,-1,317259,-1,915992,654763,671501,-1,-1,-1,-1,925648,-1,-1,300025,739122,578798,-1,53399,493750,-1,898508,-1,-1,393382,554915,-1,-1,-1,-1,234849,251387,148133,366408,-1,390097,-1,-1,405691,998353,-1,884025,208437,140232,715800,836934,-1,-1,830862,-1,-1,-1,656388,-1,51346,753321,454334,944894,-1,-1,440949,331006,-1,23556,675843,238805,-1,-1,185850,-1,394702,-1,268036,804377,77603,-1,594784,-1,-1,402606,566717,593016,937171,391131,143196,-1,114950,-1,-1,185045,223917,-1,-1,81877,-1,229248,638718,-1,-1,-1,-1,841018,-1,-1,-1,-1,258592,-1,-1,522162,486471,906496,-1,483936,-1,724048,588571,-1,414343,254893,-1,840215,999718,949775,-1,340184,-1,91488,-1,623763,-1,-1,179877,974417,-1,-1,596698,-1,123340,-1,943694,-1,482533,296931,887033,588232,356945,109371,735724,-1,81519,208252,212356,714233,-1,-1,-1,332023,828708,802016,-1,164827,137919,-1,629067,707933,-1,742278,-1,-1,447815,902558,-1,-1,747226,-1,-1,-1,-1,293872,570682,257079,-1,822690,107847,160375,-1,-1,365196,769080,28255,24679,574923,702382,938007,375551,356224,-1,-1,817514,-1,-1,-1,929894,-1,-1,-1,-1,-1,159531,-1,-1,-1,-1,921997,723543,-1,-1,259895,752916,8557,-1,864997,414790,-1,-1,82372,971450,-1,282087,-1,-1,-1,-1,-1,759994,255462,355038,-1,-1,635754,-1,494223,-1,-1,451783,-1,-1,91148,811384,45484,270751,648569,-1,635274,277256,760698,-1,485531,636839,751991,-1,-1,-1,102155,86573,162402,-1,299698,424610,-1,765579,-1,28195,-1,-1,935088,938397,930237,585601,-1,-1,-1,724148,65160,590495,236933,848812,-1,-1,449204,-1,-1,-1,662765,330426,-1,145269,-1,283947,-1,-1,920208,-1,-1,-1,292834,-1,951560,-1,-1,-1,82691,372496,-1,583028,584773,460822,215594,607483,830679,684120,557236,839504,492260,174540,144573,333468,771573,-1,30791,-1,-1,273841,-1,-1,22231,-1,-1,600892,446297,-1,-1,968494,338068,-1,-1,51379,-1,70450,373889,114068,326070,701254,-1,-1,420128,316196,164179,48538,-1,225739,-1,-1,-1,418788,-1,509897,-1,-1,798283,-1,908070,345646,-1,-1,-1,528516,-1,701348,882665,379681,-1,489516,866844,761286,289185,-1,743360,918656,820348,-1,-1,703188,-1,641819,-1,-1,-1,-1,-1,-1,-1,519859,-1,443442,202721,-1,-1,-1,752021,819935,-1,245165,-1,-1,-1,247239,239834,458508,7816,784445,378405,392640,771120,-1,-1,-1,802301,-1,-1,-1,613844,-1,-1,865226,-1,397564,217222,-1,89265,-1,863133,-1,-1,830658,-1,-1,353591,897315,-1,238074,-1,827161,-1,-1,541628,737868,608448,941994,-1,-1,65578,441171,419064,979580,563515,568185,-1,183287,621059,614103,-1,-1,-1,-1,-1,31188,865555,-1,-1,21952,904060,354266,-1,-1,-1,587976,-1,-1,-1,-1,-1,523655,-1,243195,156913,460807,456811,-1,6225,-1,-1,747584,106162,-1,583084,715808,182833,256921,370412,-1,-1,483708,123953,758355,-1,-1,1746,-1,-1,138099,-1,-1,-1,-1,-1,-1,-1,503771,138523,360272,-1,458058,7579,-1,-1,-1,160933,227591,-1,165172,-1,311299,206759,-1,-1,270280,-1,340293,-1,-1,-1,-1,-1,218680,741339,-1,215177,675577,-1,781894,543919,-1,699604,-1,274022,-1,-1,-1,-1,695933,357295,140903,-1,302054,698462,-1,-1,-1,168869,-1,-1,116170,164977,263516,452002,994853,179932,-1,747152,-1,744701,796200,531033,-1,-1,-1,341288,881020,95928,-1,-1,-1,-1,-1,73650,104260,858863,905355,771708,192140,-1,708784,669222,-1,-1,836936,-1,87050,-1,389901,-1,774409,-1,-1,235215,514864,932266,467522,-1,457643,-1,-1,-1,-1,113320,648902,-1,546826,204879,-1,-1,-1,-1,-1,-1,-1,-1,12356,-1,295206,-1,-1,-1,-1,-1,-1,674178,-1,-1,848111,311056,-1,122809,731519,943744,-1,-1,-1,647328,192362,-1,460353,-1,513830,462989,421650,555553,76720,-1,-1,932441,28567,-1,-1,-1,209806,750734,-1,-1,321993,-1,338114,476708,545469,-1,619315,-1,515681,-1,564011,418712,412650,636897,-1,54801,-1,494606,-1,-1,-1,334483,-1,722584,-1,-1,-1,418742,-1,307373,523853,-1,-1,541501,-1,548510,-1,846902,876352,50941,-1,-1,-1,350987,652144,656206,55500,-1,-1,-1,793134,-1,4841,-1,504326,-1,-1,809290,789668,408190,424084,232691,-1,-1,-1,-1,274456,289453,-1,-1,-1,302181,-1,172984,392982,-1,297159,246806,-1,-1,-1,610646,-1,-1,-1,560856,-1,-1,-1,655349,-1,-1,223356,-1,-1,936517,-1,487330,167135,-1,-1,282432,-1,765742,-1,-1,716433,672553,-1,779763,-1,-1,-1,297183,850210,792165,-1,129322,278397,-1,357667,871096,687397,-1,-1,757486,-1,-1,-1,100068,-1,57166,-1,-1,115301,-1,-1,-1,-1,-1,167162,-1,-1,28345,838307,-1,420306,464585,-1,996059,554924,-1,-1,862333,675372,-1,822986,-1,-1,-1,-1,-1,-1,701076,-1,-1,361685,-1,-1,706602,-1,-1,840288,990151,-1,-1,417458,-1,-1,206818,-1,-1,-1,-1,-1,-1,-1,-1,539496,644113,-1,636508,-1,972502,-1,-1,-1,849404,530452,-1,-1,-1,751101,-1,-1,744920,-1,-1,-1,-1,-1,687968,-1,871945,-1,-1,868981,865573,-1,638846,-1,-1,584450,796224,198566,-1,64731,231527,866493,67761,139379,294635,-1,-1,-1,-1,-1,-1,-1,-1,956750,-1,-1,29126,-1,-1,-1,563238,-1,-1,23657,294809,333772,-1,-1,737114,-1,169357,-1,828084,725402,682140,-1,-1,603493,-1,-1,297210,-1,296574,142252,184650,761204,-1,251624,24807,-1,449838,-1,-1,321666,-1,-1,687069,-1,-1,45157,-1,-1,-1,-1,732737,226543,679453,-1,-1,184395,-1,465680,309659,-1,522161,-1,-1,-1,-1,591698,-1,-1,228928,528347,707669,610144,393531,874020,999984,-1,627744,-1,-1,-1,982326,-1,-1,128125,203313,-1,125032,174188,572811,830767,-1,-1,-1,-1,484894,-1,-1,325604,-1,120471,-1,-1,-1,-1,-1,800013,-1,287293,-1,-1,998696,425244,760315,964809,-1,707661,-1,-1,-1,-1,429697,850266,-1,796116,-1,-1,-1,-1,106227,-1,251355,486104,759714,120521,-1,-1,-1,-1,760427,940331,-1,-1,510688,921630,489772,168287,209513,304075,890830,-1,-1,-1,93656,-1,-1,-1,-1,-1,536737,-1,-1,984509,542649,927124,854577,824720,903558,818590,-1,-1,-1,759305,466641,766640,-1,616901,539554,363002,577988,430710,-1,-1,-1,-1,655168,-1,-1,42580,24964,428458,-1,269142,-1,-1,-1,106471,124669,235456,517850,272713,853679,-1,-1,-1,581784,203968,-1,-1,-1,-1,-1,99936,-1,373637,334198,-1,655196,-1,710033,417359,-1,279976,829283,285844,59890,-1,242760,686118,-1,301440,-1,886997,290022,-1,905489,-1,534690,-1,-1,859105,-1,-1,293491,812797,-1,-1,-1,-1,-1,-1,-1,-1,-1,77152,-1,-1,-1,834197,-1,-1,-1,808758,214114,733485,935103,-1,93611,98274,718803,-1,-1,-1,-1,-1,92259,-1,391430,-1,743732,812957,885403,900594,-1,-1,-1,453574,98565,375999,-1,347794,-1,13200,265990,711438,554629,6428,184609,-1,273038,-1,-1,-1,-1,368628,267348,474168,-1,613008,102542,129486,700707,115192,-1,780581,-1,878206,-1,-1,-1,720116,301567,558562,-1,786426,-1,-1,584885,-1,929050,94223,986798,-1,-1,206471,732008,-1,-1,-1,-1,766364,-1,-1,466200,907235,-1,564582,70965,-1,502300,703637,805325,170141,-1,532410,903368,-1,652001,-1,620046,-1,-1,413519,788843,183890,55150,869662,540109,187499,17236,-1,-1,-1,-1,-1,-1,-1,-1,-1,889749,-1,-1,951416,-1,-1,-1,-1,-1,74530,-1,-1,-1,150426,-1,498984,-1,-1,978747,966712,271600,-1,-1,698831,207600,831527,-1,543956,-1,728079,-1,-1,444435,476623,914387,-1,-1,-1,426360,-1,812223,146351,-1,-1,489493,337176,-1,717357,80366,-1,863971,913130,14036,91287,-1,357376,582075,261853,-1,-1,-1,-1,-1,47493,-1,399900,160568,-1,315243,535981,685017,-1,660040,172063,725553,-1,946873,400539,-1,-1,804444,-1,210148,288129,-1,-1,-1,-1,-1,-1,-1,-1,128094,-1,538600,-1,617140,694412,61371,461924,-1,941630,978018,924124,760742,627518,-1,-1,-1,108530,963661,743371,914829,959287,-1,-1,457160,833100,-1,844772,-1,434670,104572,332717,202999,200850,-1,219727,-1,478864,597869,-1,395925,813225,643800,-1,-1,630421,11609,343008,-1,-1,-1,539834,-1,-1,-1,-1,187387,-1,-1,441287,411144,523438,-1,-1,-1,73947,-1,809314,-1,432727,-1,-1,-1,988389,-1,314399,-1,-1,398232,999364,159062,729679,948409,-1,788279,-1,-1,-1,782435,365245,91210,-1,930283,884333,-1,-1,837243,28310,-1,294061,-1,-1,310101,-1,515043,-1,-1,-1,189502,-1,726546,-1,-1,-1,413226,-1,-1,104633,-1,445736,-1,540622,530199,709756,565760,254165,-1,245337,756869,89947,661791,604486,-1,-1,593367,-1,737046,364432,540954,-1,923894,129949,-1,-1,152745,891614,183318,22022,-1,515107,320862,-1,-1,-1,8164,-1,956248,-1,193539,-1,642434,137032,849711,418171,-1,-1,951867,-1,-1,768268,-1,-1,872076,-1,-1,-1,-1,-1,871731,479816,-1,-1,-1,441087,-1,-1,951255,-1,-1,747865,439686,450385,730147,853819,-1,459197,269863,269716,739227,-1,-1,281552,-1,172314,-1,379319,579314,-1,-1,366913,668261,-1,14654,-1,97401,359178,727510,-1,-1,-1,787483,-1,455899,276636,832509,668045,474744,-1,35047,324037,-1,330554,-1,-1,-1,613276,556921,705095,-1,-1,691060,-1,68873,844543,119192,-1,797020,722272,-1,452220,211080,-1,-1,-1,-1,-1,277297,-1,492786,-1,-1,-1,473160,610006,-1,-1,616068,-1,549983,842072,-1,698667,432958,300606,-1,-1,-1,-1,232349,726745,-1,-1,915361,776670,-1,-1,726885,-1,-1,447493,79293,917567,715074,-1,356461,562999,-1,-1,809029,-1,-1,-1,-1,951873,-1,452372,-1,667141,-1,747405,-1,-1,-1,731190,23879,-1,-1,-1,-1,393169,935818,184393,-1,-1,-1,12630,-1,-1,-1,614670,-1,-1,338373,471999,126826,-1,409667,292798,-1,-1,-1,-1,-1,531434,7690,-1,-1,-1,136119,-1,-1,-1,230985,-1,159829,544972,-1,-1,-1,751422,-1,-1,271015,275326,823143,-1,-1,900426,-1,245352,-1,-1,500691,47486,-1,854581,168981,-1,198136,532021,261115,-1,219260,-1,825050,-1,-1,858009,765513,-1,549832,-1,-1,729257,841674,105419,623872,-1,182282,-1,398120,785195,-1,-1,980261,47017,-1,402725,656601,-1,709987,898871,-1,-1,-1,736012,805137,6106,908628,-1,-1,-1,-1,824398,-1,649538,-1,-1,898982,-1,-1,-1,-1,936192,-1,-1,-1,907057,595459,763733,335617,-1,168333,-1,-1,929349,-1,-1,-1,-1,-1,-1,-1,924965,-1,869941,-1,241862,128280,121660,976990,988155,743833,-1,-1,-1,24282,379879,-1,-1,131135,-1,290583,-1,-1,-1,-1,-1,3428,-1,136345,-1,318270,179714,168269,-1,-1,-1,-1,-1,-1,-1,708077,-1,40673,-1,-1,-1,-1,-1,-1,884177,-1,-1,259674,670553,-1,-1,-1,892926,156733,110987,-1,452317,-1,-1,-1,540145,974415,454109,-1,562369,543402,-1,204192,-1,929305,718033,606194,383145,948553,-1,-1,-1,-1,-1,-1,839636,343565,-1,-1,705292,708387,824907,-1,-1,154539,449249,-1,-1,-1,-1,867222,-1,657612,-1,-1,131291,-1,932163,-1,-1,269583,-1,-1,-1,-1,-1,-1,369524,353353,-1,483802,229993,-1,-1,826949,-1,929663,36690,-1,-1,-1,-1,-1,662847,899651,404793,-1,426412,664471,356769,-1,-1,-1,-1,368037,-1,-1,-1,-1,692113,57367,413878,416283,-1,-1,-1,-1,-1,-1,-1,-1,847681,963086,-1,-1,374452,-1,23986,727176,997328,-1,132296,-1,-1,927427,64009,-1,747424,419881,-1,351555,155490,348161,-1,140426,-1,-1,725515,-1,867294,775929,-1,443473,-1,-1,-1,511558,-1,-1,-1,-1,344411,258966,63718,-1,-1,370391,-1,-1,998669,-1,440558,246257,920586,-1,-1,219978,302089,-1,57224,-1,990707,-1,707344,756116,106183,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,64795,-1,51529,-1,-1,-1,-1,-1,56259,185381,966111,-1,-1,289914,-1,944087,640560,803114,-1,-1,-1,718637,840548,-1,328896,725761,-1,-1,22785,593616,-1,355823,614571,310639,-1,-1,-1,752676,107710,-1,666737,589359,-1,78845,204438,-1,160891,-1,-1,132156,-1,-1,534679,-1,502781,-1,460930,547803,275819,299000,-1,452014,-1,-1,789077,-1,172384,831548,-1,305255,864957,17221,945312,787729,954892,-1,217067,910631,-1,-1,251867,69202,-1,-1,27896,764136,-1,-1,-1,154704,821451,-1,-1,-1,104964,652837,786099,640961,321192,-1,103588,601103,-1,-1,-1,-1,74346,135251,106441,-1,-1,391851,993289,213087,593411,-1,825468,615554,928096,496563,-1,707709,662748,289621,-1,-1,-1,843113,562288,56884,923674,-1,-1,-1,888916,532160,517462,-1,-1,461032,44987,-1,-1,665510,-1,33677,-1,504729,-1,288419,737174,406802,903586,374329,307612,-1,770435,-1,-1,953773,50289,-1,807065,135031,135044,-1,-1,-1,159370,-1,-1,431539,842264,956062,-1,910940,920971,-1,-1,179720,-1,813383,814234,695816,-1,739965,569622,-1,906681,-1,-1,720348,461439,784221,528261,-1,751490,-1,-1,578059,-1,-1,-1,-1,996280,-1,-1,513988,267091,32148,-1,489425,-1,744585,594618,670252,317054,-1,-1,-1,-1,-1,81580,-1,649162,-1,-1,247415,457942,-1,-1,227060,-1,-1,-1,-1,142504,-1,-1,154565,-1,-1,-1,441887,1935,-1,505448,-1,593012,-1,742311,668977,716841,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,600882,-1,792590,663728,2688,-1,94881,122808,-1,283581,342798,89682,-1,337320,347553,-1,-1,287390,814094,-1,889862,117141,925628,858100,788970,181308,-1,-1,-1,-1,42584,171384,975748,-1,-1,-1,-1,-1,574978,825706,109478,-1,399582,812815,685223,-1,438555,-1,-1,887805,-1,-1,-1,-1,-1,722474,699582,73729,432686,45934,493246,911112,-1,-1,301598,274947,-1,568074,200911,251772,-1,290918,-1,-1,-1,-1,241859,-1,706441,870816,-1,-1,-1,-1,501254,-1,-1,727972,112889,-1,420502,-1,-1,-1,638405,311365,234573,-1,363892,219117,-1,163151,-1,229449,624248,240297,-1,7505,308592,-1,-1,-1,-1,653207,946944,993594,-1,64672,-1,-1,390023,-1,845377,418010,-1,387203,-1,128616,-1,196822,-1,583729,-1,330936,-1,781713,801534,515558,-1,410859,-1,-1,175897,-1,-1,-1,-1,-1,-1,547385,723384,-1,449541,-1,232832,-1,630537,-1,35182,-1,395945,-1,635909,666320,127429,482498,726552,-1,-1,-1,-1,-1,-1,428252,945881,-1,-1,-1,160327,436691,88714,-1,237885,827747,-1,-1,-1,-1,746793,741125,-1,-1,311431,797176,-1,531171,-1,993654,707992,-1,-1,508480,125717,770317,609117,-1,663722,368090,-1,791340,924650,-1,-1,844915,-1,-1,461689,-1,464188,-1,967819,-1,870559,-1,12722,958319,559779,-1,556650,-1,-1,-1,-1,-1,731780,-1,263604,35260,251975,543445,-1,-1,-1,-1,753654,-1,-1,-1,437297,278557,-1,138201,-1,-1,-1,-1,22968,555752,179774,-1,461562,337234,405785,-1,444593,940808,458503,-1,32466,898894,852797,787974,-1,397319,-1,866497,-1,495137,-1,501946,-1,-1,922980,-1,757618,311672,539950,31132,-1,-1,-1,962944,943523,337694,904134,-1,52204,670434,622331,65956,-1,964618,826637,110850,-1,-1,866679,494966,-1,-1,-1,-1,432029,217194,950042,-1,-1,-1,-1,40716,210865,-1,-1,847001,553440,-1,-1,-1,870223,284072,-1,690478,955690,619964,-1,-1,847654,-1,-1,672467,-1,477975,791428,-1,-1,334259,421836,-1,-1,816210,-1,511265,751872,870389,-1,71110,262436,-1,-1,-1,736524,45923,-1,824037,337598,-1,892798,334677,-1,-1,185731,560928,111641,549130,-1,-1,599346,-1,-1,-1,751151,767429,17110,-1,-1,-1,-1,-1,647566,-1,-1,-1,975713,-1,-1,-1,594137,-1,228604,-1,-1,-1,790248,-1,-1,511164,33657,-1,199012,678577,-1,-1,97825,-1,615796,94820,-1,-1,171032,-1,-1,220482,-1,913080,862037,-1,920876,902412,688996,946092,-1,62585,-1,-1,47163,-1,727639,-1,-1,686885,-1,-1,-1,-1,539852,-1,610876,-1,591757,-1,-1,-1,-1,616094,-1,612084,-1,525180,-1,-1,80553,907173,-1,-1,-1,-1,567652,-1,38359,-1,551741,-1,157218,202364,609994,-1,-1,496489,-1,-1,303932,-1,-1,-1,-1,-1,255114,-1,-1,214018,-1,-1,-1,449971,-1,-1,617054,474456,-1,-1,293198,-1,-1,62474,-1,-1,690259,-1,736455,863222,720153,-1,-1,613995,530524,-1,-1,-1,-1,799862,-1,183851,-1,-1,479566,-1,-1,406077,60140,-1,-1,-1,-1,304320,314131,155240,151068,-1,467860,195837,-1,333362,-1,-1,-1,191280,296410,-1,425399,-1,185766,-1,-1,739569,699163,981967,393318,330215,270817,-1,943691,-1,399113,-1,-1,679448,-1,-1,-1,506369,-1,529344,-1,-1,-1,573028,-1,-1,-1,-1,352626,-1,616148,-1,-1,915926,-1,607423,224160,416620,73562,-1,-1,327026,-1,-1,286080,-1,-1,-1,875059,-1,-1,-1,300899,23470,-1,443612,263825,-1,275468,34954,-1,969057,762240,-1,-1,156756,-1,-1,-1,-1,353500,-1,360470,510039,248287,-1,381580,932730,-1,-1,-1,832418,163406,443318,642523,415929,536302,473066,746119,-1,499464,49655,-1,520739,-1,-1,-1,-1,9649,667328,-1,-1,-1,229188,957041,993712,-1,312481,335791,-1,465834,865664,-1,-1,-1,255632,-1,601322,145838,-1,303696,895237,-1,752259,728814,942336,-1,366383,699736,85040,346572,-1,-1,654711,100827,357617,257437,-1,155159,923865,-1,-1,-1,67282,-1,912756,-1,520367,387515,962724,535537,-1,653862,-1,974571,-1,998266,619177,-1,645283,739990,-1,-1,199541,266210,-1,526601,978507,-1,-1,724134,-1,995141,-1,147568,561710,3136,-1,-1,-1,142612,464123,791544,460160,-1,-1,-1,-1,530490,-1,-1,-1,-1,-1,-1,951402,487815,-1,382977,-1,-1,-1,859705,-1,-1,615362,-1,570737,321748,-1,-1,796225,176921,675850,885021,228225,-1,260171,-1,544669,-1,-1,92199,221638,270403,-1,-1,-1,-1,538268,-1,-1,-1,511530,558712,-1,327586,120262,-1,-1,-1,252997,193360,-1,-1,89182,-1,-1,-1,824344,566007,-1,31374,859726,484382,164103,408222,91051,-1,-1,538316,-1,-1,508088,854844,-1,-1,-1,129560,-1,-1,-1,229175,247291,95983,660476,-1,-1,-1,298366,636298,226857,-1,432949,523831,185870,-1,-1,293390,-1,970127,-1,599945,-1,-1,650785,-1,-1,-1,-1,686992,964551,-1,871455,183954,-1,758960,-1,-1,-1,-1,775552,985576,520602,-1,-1,-1,749219,-1,644140,334847,938349,-1,-1,-1,-1,735472,-1,464468,190008,64524,-1,-1,-1,-1,983640,-1,-1,922432,-1,-1,-1,-1,212613,356562,-1,-1,795900,792801,623161,688085,-1,-1,-1,743357,-1,841337,745225,-1,-1,880226,657648,-1,947088,-1,-1,667800,328480,815713,-1,-1,63782,-1,937926,357964,739334,742863,-1,-1,-1,-1,631332,532817,-1,-1,-1,-1,-1,762074,-1,-1,207281,823071,-1,-1,107209,-1,252082,671576,322829,571385,-1,-1,-1,-1,317399,438176,865553,344932,-1,913682,-1,731360,-1,378094,-1,120639,429080,-1,447711,-1,-1,-1,849081,-1,809993,-1,-1,-1,721226,-1,-1,-1,105474,33325,379819,167402,-1,-1,-1,676789,609837,696397,842927,-1,-1,945216,282212,-1,-1,860946,400992,-1,947909,871936,-1,-1,117900,261935,637988,-1,311706,89412,-1,-1,-1,-1,-1,-1,-1,-1,665020,745724,-1,140458,-1,-1,-1,-1,67239,179118,-1,671411,-1,705288,629186,696500,903713,-1,-1,985429,589529,424130,-1,8981,103419,365324,604456,977605,415588,849995,-1,-1,999099,-1,643160,-1,-1,-1,-1,385481,124658,-1,114867,420020,798315,547071,354372,967613,-1,581327,663446,-1,-1,862861,363828,929672,626949,179981,50256,200939,90988,-1,-1,-1,-1,-1,140904,-1,601731,-1,-1,-1,716579,598753,22987,640017,78510,966937,671884,774593,738567,883676,-1,562140,-1,-1,-1,-1,331536,-1,499613,483184,158890,-1,664493,747581,-1,-1,-1,-1,-1,46125,852836,-1,453858,178933,-1,594637,153556,365482,582823,828857,762345,-1,965993,-1,754344,-1,902261,-1,-1,-1,255941,-1,898171,-1,841547,-1,214961,341254,-1,-1,-1,190514,-1,702007,495957,-1,926056,-1,-1,896531,22865,516862,-1,429477,-1,-1,-1,852421,-1,-1,-1,977279,-1,737835,-1,-1,-1,316483,-1,-1,-1,716654,112518,962614,741131,899935,910707,-1,-1,-1,-1,226610,-1,960422,800858,-1,243519,891310,-1,-1,679540,928219,-1,253090,-1,-1,-1,690013,-1,-1,513990,774308,-1,227858,398867,189004,327872,800430,-1,216151,714260,-1,836025,-1,-1,-1,-1,-1,365844,-1,-1,959041,-1,446762,-1,-1,516815,603261,290870,-1,-1,214903,-1,-1,286267,932112,-1,-1,518149,-1,-1,-1,816469,-1,-1,-1,-1,80291,-1,514842,-1,-1,-1,-1,852667,-1,899608,719278,-1,482110,-1,612924,-1,947223,-1,-1,671528,-1,-1,787779,799589,-1,-1,193553,60242,-1,-1,-1,716740,-1,-1,840462,-1,717340,125522,223672,-1,90903,686182,-1,384681,-1,-1,42404,-1,-1,-1,662392,995875,299132,263720,924718,-1,828117,249812,-1,-1,936776,-1,-1,-1,-1,-1,966057,-1,-1,759980,-1,775397,-1,-1,101403,772194,-1,777874,494312,-1,617924,-1,475806,-1,408002,-1,-1,423717,-1,-1,-1,119208,-1,-1,174685,-1,521231,646390,24905,456200,-1,-1,-1,-1,77784,479052,-1,372403,-1,422004,-1,-1,708616,325569,507285,-1,-1,-1,184659,-1,251571,-1,-1,-1,106327,-1,-1,217978,757171,-1,-1,895931,750805,-1,312283,-1,-1,-1,64050,-1,-1,-1,889170,-1,905785,569654,-1,395830,679183,-1,-1,103827,593654,-1,201134,351722,-1,672362,71748,223284,751894,-1,2067,503966,82414,145909,-1,-1,-1,-1,40543,-1,-1,-1,-1,867110,-1,559378,482766,809413,-1,106789,322211,247135,697956,305502,794822,-1,94776,-1,-1,-1,-1,-1,-1,-1,-1,324992,550813,745312,-1,877087,492445,-1,659009,50687,-1,-1,360141,-1,-1,-1,-1,-1,-1,691850,-1,-1,-1,252233,590672,756969,-1,-1,980543,-1,371210,-1,-1,-1,367767,-1,-1,836901,-1,230248,-1,-1,406891,752484,-1,689807,567910,-1,362850,-1,412315,875187,-1,-1,318037,259860,141291,-1,-1,-1,998609,320987,-1,622564,-1,-1,-1,780484,197315,-1,-1,-1,790822,-1,-1,-1,-1,486740,-1,824177,-1,329003,69715,-1,-1,103368,-1,848854,201964,38331,-1,-1,555104,-1,878865,-1,-1,-1,823450,-1,-1,442298,-1,809355,-1,601039,-1,-1,130255,-1,-1,142123,-1,-1,55364,-1,364075,-1,-1,639863,-1,38099,-1,261665,481651,13321,42702,275862,579440,958099,-1,327962,692174,-1,-1,-1,-1,270554,-1,-1,-1,-1,-1,39101,460289,-1,-1,653820,867551,-1,-1,98151,-1,-1,-1,-1,966800,-1,-1,876275,629326,-1,-1,465426,-1,-1,463770,-1,-1,319804,973459,-1,-1,-1,-1,355239,-1,-1,479517,-1,583168,-1,-1,-1,-1,34341,-1,-1,-1,-1,565642,-1,825097,-1,-1,-1,892314,-1,-1,378474,258804,628768,-1,-1,821454,-1,440213,198027,827560,648918,-1,-1,385273,125701,-1,-1,-1,-1,-1,-1,34757,-1,893296,166954,461810,-1,431305,-1,-1,-1,-1,-1,-1,16139,277284,-1,-1,-1,673839,-1,76222,-1,845600,729926,-1,40159,-1,-1,988767,-1,729776,452699,774976,-1,-1,-1,924852,-1,808249,194732,-1,48670,290908,586112,-1,167836,-1,-1,-1,-1,-1,-1,74124,-1,529956,955785,287272,60661,692943,732658,-1,662303,268030,373284,599339,613394,191253,-1,-1,-1,805963,559392,25577,-1,-1,542627,-1,-1,180320,-1,-1,443041,-1,-1,464591,136293,-1,641504,241269,250009,-1,-1,-1,-1,-1,-1,396548,-1,918588,-1,-1,-1,-1,-1,659135,367768,275423,-1,575412,-1,425611,-1,-1,-1,466639,-1,-1,148696,244228,-1,-1,795599,-1,77650,-1,-1,-1,-1,290986,-1,-1,-1,742999,112626,445659,-1,717402,745880,-1,736040,-1,-1,-1,479397,-1,430855,949464,598171,-1,-1,74570,685437,945133,-1,407556,832015,823049,247570,146229,400646,-1,-1,759728,-1,306633,-1,-1,-1,762596,561713,189339,-1,69593,-1,105172,-1,-1,338579,-1,-1,33244,-1,666119,-1,706809,761894,-1,-1,-1,833508,10147,732952,-1,-1,48910,-1,887032,-1,-1,-1,463227,715303,170166,68334,-1,607838,-1,-1,83202,402443,-1,-1,60839,-1,-1,-1,951388,-1,983501,202022,-1,-1,672283,-1,946586,72766,-1,-1,-1,-1,972839,531270,-1,27442,433713,-1,4724,-1,709071,365726,-1,-1,571666,319834,-1,324780,923572,923690,198121,-1,-1,315219,-1,990845,-1,-1,-1,808296,705272,535047,-1,227874,-1,-1,-1,-1,-1,199246,-1,898109,-1,-1,321378,-1,4265,832277,39063,-1,-1,-1,-1,684233,587386,-1,615873,-1,-1,973605,-1,-1,-1,678002,864356,195539,142652,-1,-1,396142,-1,-1,-1,-1,689594,216062,-1,618506,117439,-1,-1,-1,-1,-1,508787,315392,514712,-1,801167,227869,-1,217282,-1,-1,-1,777690,-1,599701,71766,300133,801021,-1,-1,-1,298043,626681,529946,670773,634162,277440,-1,970821,-1,-1,-1,65910,215355,-1,988203,323518,-1,-1,-1,321575,-1,-1,-1,406158,925556,-1,102384,602266,-1,-1,-1,808178,496928,423233,124289,534866,992031,-1,-1,-1,-1,-1,-1,-1,30376,-1,-1,629767,591081,822138,779473,338584,641278,834436,-1,335010,945201,672037,-1,-1,-1,277542,581305,-1,425916,-1,-1,-1,-1,413884,946354,800379,263592,-1,852725,-1,165025,-1,-1,848932,7666,-1,-1,990329,-1,644347,405494,181082,-1,-1,-1,802663,-1,-1,871822,306180,418844,-1,-1,586150,-1,-1,576220,875046,-1,675831,55530,167944,-1,-1,-1,426417,450813,-1,-1,-1,-1,-1,-1,-1,702943,17961,308185,224441,-1,540437,59246,786255,-1,-1,521158,492547,817461,21127,41057,881971,-1,845276,60741,-1,-1,-1,132956,-1,770152,-1,-1,-1,971627,431325,-1,152248,637620,-1,533712,862366,-1,-1,680408,-1,-1,886811,-1,231057,-1,944643,706675,-1,316180,-1,77514,-1,627712,-1,291591,698662,-1,281286,180349,832144,-1,-1,-1,-1,758326,375009,75820,353253,-1,598586,978437,808954,-1,80811,666137,-1,406780,-1,-1,189998,359961,-1,-1,326558,-1,135783,72752,840602,-1,291678,875634,-1,-1,461340,562130,695011,-1,984884,-1,459747,-1,-1,601987,202055,288579,19191,705171,-1,-1,-1,-1,-1,186642,-1,-1,-1,-1,-1,-1,-1,798085,727774,-1,854742,41053,-1,-1,-1,328276,-1,260882,-1,857817,-1,-1,35633,-1,-1,-1,958060,842952,-1,726117,-1,-1,-1,-1,963014,535015,-1,264985,770003,690512,342368,516489,-1,-1,-1,840691,-1,607238,813781,354292,867618,863049,647670,-1,602432,730613,996045,879121,-1,-1,401283,-1,634310,-1,707857,935124,-1,-1,-1,-1,-1,845919,347744,602371,356994,462676,491150,-1,-1,512464,806933,-1,838880,481985,-1,-1,933404,-1,297878,-1,12787,-1,-1,201819,156623,-1,-1,-1,307354,-1,953363,-1,877975,384646,-1,466875,480716,-1,-1,600059,176376,-1,965433,-1,215955,693438,-1,565936,895634,910197,-1,196383,-1,-1,-1,336827,-1,111773,876866,112167,-1,-1,314853,-1,749012,266021,-1,-1,-1,-1,818227,10660,-1,-1,312285,-1,-1,390177,981927,107254,827649,791725,239240,-1,-1,18950,-1,-1,37034,325305,-1,16476,101001,741445,-1,-1,756160,-1,235290,841945,609070,954602,-1,180093,-1,-1,751446,-1,-1,207989,-1,102812,-1,-1,463153,-1,142587,-1,413402,486947,-1,450295,356369,995215,-1,-1,36381,864338,-1,-1,685975,-1,593554,-1,-1,864601,955991,-1,-1,148328,29559,656282,-1,-1,945182,-1,-1,564760,170206,594578,-1,-1,-1,716463,-1,-1,-1,443903,-1,-1,-1,560871,-1,-1,20030,117309,-1,-1,-1,126158,223737,830961,250087,-1,661958,-1,-1,613756,-1,254663,-1,-1,-1,632126,80014,-1,622639,639208,315818,-1,804362,-1,-1,-1,286554,598729,-1,797233,-1,137057,-1,172260,-1,-1,-1,878959,-1,-1,171882,-1,3993,204940,-1,289792,-1,824883,-1,-1,142884,173719,931295,-1,-1,307659,-1,77245,-1,-1,254868,950861,-1,197799,989234,144470,355102,566374,855249,-1,724786,110295,-1,-1,-1,-1,-1,6873,-1,781523,516543,716560,-1,-1,652867,-1,154561,475800,-1,301143,151486,908958,30817,77402,975199,-1,632738,-1,-1,179715,-1,-1,-1,-1,43711,-1,590285,-1,-1,756027,-1,-1,-1,439431,-1,-1,-1,415678,-1,-1,-1,-1,887807,-1,764189,-1,-1,468595,-1,287712,394422,331834,92209,122774,157981,198610,894596,587745,344905,940285,-1,-1,483099,-1,-1,731795,-1,776127,757352,-1,-1,-1,-1,720301,-1,-1,-1,-1,330673,-1,363773,-1,-1,90369,-1,-1,427222,214335,-1,-1,-1,-1,33906,76387,848457,781419,477958,604886,566895,-1,-1,354376,834957,-1,-1,845004,627934,-1,378271,-1,-1,-1,296044,-1,-1,846858,-1,442874,-1,577810,-1,428246,730898,673747,618004,-1,288302,-1,-1,89969,-1,282541,126667,740137,577750,339270,536554,-1,-1,-1,329494,579128,-1,-1,419212,-1,-1,738426,-1,-1,831604,162944,-1,-1,630016,-1,163036,31790,320919,-1,436672,-1,608075,936430,-1,-1,-1,-1,-1,-1,-1,90569,-1,102849,720833,-1,-1,-1,-1,-1,788487,522101,220229,72859,929924,555163,232918,906226,305605,385305,-1,882404,676701,-1,-1,-1,-1,-1,213684,-1,-1,-1,-1,-1,-1,153443,-1,-1,590270,724549,-1,-1,-1,-1,174465,-1,644793,246124,211483,597062,312324,-1,-1,239690,130298,-1,344859,-1,829409,514841,-1,-1,-1,-1,383843,-1,745528,392677,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,202493,79851,419632,474235,-1,-1,-1,216043,-1,761543,738605,938877,299900,769089,-1,448275,-1,949314,231390,-1,-1,743335,-1,80128,811191,-1,633351,-1,-1,-1,-1,-1,183008,200614,315307,-1,585237,-1,512271,-1,-1,533812,745861,-1,-1,-1,723431,-1,117204,-1,894195,651051,434637,33223,-1,824913,329525,25105,598962,946928,-1,-1,674463,413109,692975,-1,701794,-1,385346,788287,194139,528993,976580,169393,-1,491639,-1,-1,-1,509732,-1,-1,824250,-1,-1,-1,-1,-1,662873,-1,-1,-1,-1,457316,825791,-1,-1,643443,-1,429274,689792,-1,-1,250124,982452,731842,54922,358980,-1,79429,993435,896988,-1,689224,683655,17847,9790,780245,555630,23441,343541,44421,398602,-1,417621,-1,-1,-1,887586,586758,20081,879568,-1,-1,-1,282553,783846,772113,889936,-1,-1,-1,-1,20827,-1,386685,553213,490523,371130,478556,140536,777108,341636,-1,835813,578175,-1,234058,-1,71201,218922,-1,-1,118770,604887,-1,-1,-1,-1,733138,491801,143184,636384,-1,-1,74884,-1,379814,-1,-1,-1,114433,-1,-1,-1,945404,-1,869054,935273,503305,-1,255599,-1,-1,729544,-1,522723,-1,606546,-1,315488,-1,-1,-1,944364,789839,147636,-1,441121,-1,-1,-1,-1,-1,709196,-1,-1,-1,-1,11713,343,-1,-1,-1,161210,-1,691779,542215,-1,736169,364983,-1,725628,-1,51857,778620,925073,50513,-1,-1,718299,391403,315213,994845,-1,52688,449148,-1,48727,698333,720961,-1,509742,-1,-1,-1,-1,164615,-1,-1,-1,-1,-1,-1,-1,760257,-1,-1,-1,571921,-1,518701,-1,687945,-1,-1,576228,150305,-1,-1,1461,157481,626466,676197,-1,-1,-1,-1,342189,-1,548729,-1,233794,932369,223467,916168,584150,-1,883253,304359,974968,-1,305508,-1,-1,607176,922453,-1,824035,2219,56644,979423,-1,393905,-1,36970,217868,148961,422501,-1,-1,-1,253924,-1,-1,226664,278089,-1,-1,-1,-1,223191,673252,-1,-1,47753,249285,962073,1370,-1,-1,554523,-1,528402,-1,814622,387490,173922,-1,425020,170006,436974,-1,-1,-1,-1,28296,-1,-1,894356,-1,-1,-1,-1,-1,280606,23447,-1,-1,-1,-1,227361,171527,-1,160094,-1,-1,-1,455599,-1,-1,376846,-1,-1,45839,118771,329871,636608,-1,888827,690579,-1,-1,377074,313869,-1,-1,77905,-1,-1,314487,514865,-1,-1,-1,-1,277811,454078,294882,-1,218079,-1,596030,-1,496986,-1,-1,221117,-1,466239,-1,219503,-1,-1,-1,640438,-1,-1,-1,-1,-1,-1,-1,973798,241551,691161,310720,464498,367452,587114,-1,655555,-1,198546,-1,287342,-1,-1,-1,-1,614040,-1,-1,948710,-1,984587,-1,787362,-1,56734,762480,-1,106092,-1,-1,839472,621553,887461,951979,-1,10580,593714,-1,616663,-1,389697,721962,875041,453923,-1,839164,-1,-1,-1,881659,-1,-1,-1,133699,-1,-1,-1,228236,370297,-1,808152,-1,-1,19540,-1,-1,909388,997996,-1,-1,244584,-1,-1,664821,313837,-1,999567,-1,-1,-1,-1,-1,-1,-1,64615,-1,-1,-1,273148,491064,-1,-1,251561,103457,319056,727457,-1,-1,186303,342859,-1,-1,516124,-1,-1,573424,124622,578455,84105,559775,-1,529418,8370,-1,-1,-1,845486,539838,286195,-1,421326,-1,-1,825607,-1,954552,-1,285074,524264,-1,-1,-1,630629,744647,-1,-1,479583,-1,-1,173969,224049,123585,389828,-1,-1,-1,109487,549135,-1,-1,477053,-1,-1,-1,205332,-1,-1,-1,-1,492680,-1,289012,-1,-1,978866,829399,-1,446141,-1,626414,512064,59991,-1,-1,33966,-1,947857,-1,-1,966128,891439,-1,-1,296333,-1,-1,-1,-1,586108,660713,969444,-1,-1,901831,901836,-1,-1,564653,335354,822744,312066,-1,144444,-1,-1,544777,984719,-1,883824,78668,229099,-1,985175,-1,138762,-1,981671,-1,-1,449325,-1,361462,906192,38094,-1,609857,-1,855331,128664,270534,-1,417064,684121,705882,806104,358683,-1,47988,-1,615541,-1,670275,429533,127516,-1,332551,-1,-1,811675,-1,-1,-1,-1,463118,-1,-1,82929,-1,299916,516932,-1,749836,-1,-1,-1,-1,301518,-1,800713,233865,936056,-1,21690,183858,197191,885361,376956,361375,-1,705763,741122,225664,168196,516483,-1,636534,531013,980121,-1,-1,213165,-1,775230,-1,52960,248829,435657,-1,685504,-1,-1,937725,-1,253945,-1,774501,-1,481252,-1,975139,-1,-1,-1,981708,688598,469999,711669,-1,-1,-1,362955,832321,636682,766517,-1,425035,329699,687144,324686,687552,-1,-1,-1,178878,923411,-1,-1,605762,587043,-1,-1,-1,196964,987463,906846,967552,440670,650675,-1,-1,-1,585753,-1,-1,733019,876201,-1,-1,756403,-1,-1,152557,434480,675477,392721,855653,363422,-1,343733,676262,-1,-1,-1,708558,55873,-1,-1,596355,393365,-1,712194,-1,-1,-1,-1,980961,-1,472988,68340,404161,-1,-1,142692,-1,773557,-1,-1,-1,852445,46146,707178,351805,322975,-1,735594,-1,165110,300629,933610,583090,741090,-1,380535,-1,350244,-1,132743,-1,-1,-1,25222,434595,624550,541696,175308,-1,-1,728884,805515,-1,922392,-1,-1,948848,350913,837996,-1,72137,-1,213594,643924,-1,-1,262605,-1,224480,-1,-1,-1,688984,555397,-1,14555,-1,-1,959913,247627,514334,627328,421378,-1,-1,804354,-1,-1,-1,-1,-1,-1,347237,-1,-1,280789,489474,929987,197629,660522,-1,573356,721444,276964,408516,486767,-1,17331,-1,651213,-1,863997,995932,-1,728426,-1,717875,-1,-1,-1,183245,473220,942994,-1,-1,-1,-1,-1,343073,-1,-1,353467,-1,373551,-1,-1,-1,-1,988751,968910,-1,672654,-1,-1,479564,-1,-1,331358,-1,803448,-1,237173,329786,899145,693547,-1,-1,-1,555857,-1,-1,682078,-1,-1,783862,-1,-1,-1,-1,834431,803293,911415,-1,-1,539822,573719,520990,266691,108194,-1,125958,987968,385679,466172,511741,119621,-1,301359,-1,-1,-1,520910,-1,609865,614452,301807,988590,-1,-1,502017,-1,348401,-1,689980,-1,-1,102858,-1,-1,-1,610731,240285,-1,-1,333529,897170,-1,415297,342289,375946,-1,-1,892458,-1,727460,460176,-1,-1,666509,51960,539991,-1,-1,-1,777160,235708,244270,-1,-1,-1,-1,-1,-1,-1,995225,399004,-1,-1,-1,-1,-1,-1,515830,648901,-1,130339,-1,580108,135512,640865,-1,657416,-1,-1,-1,717304,-1,576334,604175,259761,-1,-1,-1,926582,115280,-1,427170,-1,493914,-1,470656,324692,-1,-1,-1,-1,-1,753389,-1,48146,169543,-1,263431,-1,-1,382735,867233,-1,-1,-1,938730,596731,-1,164841,-1,109533,244579,146230,-1,772812,53199,-1,362798,-1,-1,656171,621970,-1,-1,-1,-1,513836,451552,645148,-1,-1,-1,603303,-1,80517,687958,368823,553002,-1,611530,599629,230673,308759,-1,-1,129870,-1,217135,945928,812841,220472,-1,606249,-1,-1,-1,-1,458541,717487,360936,-1,101289,973726,465311,-1,173908,913746,-1,43192,-1,-1,-1,546325,570447,-1,-1,-1,454362,-1,-1,-1,254983,-1,223942,705364,-1,287871,956207,678857,387001,923466,949999,-1,16006,-1,-1,-1,641329,-1,994730,808252,-1,-1,-1,914091,356676,904682,-1,-1,572588,762391,-1,69457,538973,-1,-1,-1,972103,-1,975974,-1,-1,394683,-1,477949,344312,-1,548847,-1,74670,184987,-1,-1,340177,429688,-1,264045,-1,-1,990045,-1,444223,657834,614883,-1,700804,317974,614011,-1,-1,-1,-1,346685,762502,294434,970504,755645,-1,543903,-1,751752,-1,440163,-1,-1,-1,-1,263398,623295,524698,-1,-1,815741,365099,2868,929556,-1,-1,227513,971784,-1,-1,865488,-1,-1,-1,130143,516259,603510,-1,-1,567840,197223,61862,281106,101475,122071,-1,338280,-1,-1,75034,-1,-1,-1,657875,-1,-1,704287,695405,-1,-1,-1,388191,-1,-1,866096,759076,-1,10426,78755,-1,165685,777636,-1,-1,-1,-1,-1,-1,536187,-1,577608,-1,-1,470581,-1,232544,-1,-1,910079,-1,130066,613963,-1,883803,-1,-1,-1,-1,-1,-1,-1,111480,333753,-1,-1,556940,839294,-1,-1,886,8309,-1,-1,-1,674077,-1,-1,601964,910215,-1,-1,-1,-1,176665,279451,895972,169792,900836,-1,172930,751962,-1,-1,153587,-1,762922,977886,724741,832002,-1,-1,355503,534233,809388,-1,-1,855150,100544,-1,999979,43991,395709,471955,-1,-1,-1,-1,17263,730801,-1,646462,-1,-1,631143,-1,-1,-1,683629,-1,298329,125924,-1,140669,914012,852362,-1,-1,-1,-1,-1,477178,-1,592631,680875,718768,211777,257583,-1,-1,921844,837913,321577,-1,-1,-1,-1,607306,3559,-1,385568,-1,370220,-1,-1,539164,-1,513971,309112,406923,815187,-1,144358,114861,115617,130925,-1,652911,-1,107595,-1,576903,515627,632117,245684,268050,-1,-1,967792,232155,806740,478970,-1,-1,631561,-1,-1,-1,871775,496130,442751,-1,-1,453210,172562,21829,-1,-1,-1,932374,-1,-1,273111,-1,802328,897508,390529,406811,62502,-1,-1,623053,-1,328467,226585,34763,211805,-1,-1,801738,-1,60142,-1,921891,-1,-1,859622,-1,-1,593477,14405,-1,737013,-1,925755,-1,128603,39054,753226,733775,448240,265839,-1,-1,-1,-1,-1,-1,-1,-1,650728,322636,-1,-1,-1,-1,353965,-1,-1,319842,-1,705867,722162,689211,-1,-1,-1,92677,21856,-1,-1,-1,-1,8302,-1,-1,326176,973435,-1,-1,-1,934796,504119,-1,-1,-1,549100,465778,-1,-1,-1,692574,9225,-1,-1,-1,694746,928269,265773,304096,396810,-1,-1,416135,-1,721655,565055,85955,982017,525636,42904,717991,-1,712674,-1,420327,-1,-1,862969,-1,674378,196445,869715,-1,-1,139055,-1,-1,666487,-1,-1,822919,-1,-1,-1,242385,-1,-1,721033,650313,210619,-1,972068,-1,-1,-1,409065,-1,719786,832319,-1,-1,-1,893403,854520,374821,-1,518865,737615,618873,-1,-1,-1,-1,-1,628112,-1,-1,798523,-1,-1,462451,537981,-1,370571,-1,407353,-1,912785,992344,-1,-1,577603,752292,-1,37942,-1,-1,934446,-1,-1,917486,403650,178172,-1,-1,-1,650578,428731,840224,802651,396842,-1,226790,276014,196203,-1,-1,-1,-1,760758,-1,23492,-1,2390,-1,99102,-1,162726,931098,645317,-1,669065,-1,680909,805725,-1,-1,-1,31306,697369,348034,338272,-1,147662,654806,572071,770030,713301,-1,-1,993405,508394,668846,-1,365900,8718,-1,122594,479249,411797,879690,-1,-1,796651,11428,82375,452832,-1,157333,851927,859250,-1,524087,-1,-1,-1,-1,-1,695118,891379,328234,-1,67893,916755,340455,-1,234494,-1,68309,-1,301776,489897,-1,562976,411890,-1,539294,-1,-1,854768,-1,807520,430980,704053,-1,372298,-1,805493,-1,883813,568527,-1,133297,-1,-1,-1,692851,-1,235442,-1,59314,499518,-1,-1,-1,986919,-1,-1,781324,413948,-1,-1,-1,-1,-1,-1,-1,727275,748734,897158,432670,-1,21129,-1,773522,-1,967508,-1,52493,-1,815920,289903,272939,-1,-1,746648,846917,428249,316182,-1,597787,-1,-1,-1,-1,-1,193233,238687,-1,-1,-1,-1,774691,-1,-1,358232,-1,943801,553036,-1,921479,-1,194555,-1,-1,-1,-1,648848,300023,364643,324201,-1,780993,787366,-1,919472,468444,-1,-1,629997,493329,-1,441921,126602,163883,-1,-1,981024,651454,-1,604552,598013,-1,915041,862013,736246,-1,-1,423583,-1,-1,495995,-1,-1,305356,213000,-1,-1,534697,-1,412461,-1,-1,-1,-1,520255,-1,-1,606620,-1,808576,-1,-1,221997,639583,-1,985449,-1,-1,-1,411173,-1,-1,501227,-1,655780,-1,-1,-1,540198,-1,969620,735986,-1,-1,-1,293992,-1,-1,630792,-1,-1,603361,-1,-1,716471,-1,-1,-1,-1,-1,339171,31117,-1,282134,-1,-1,963115,-1,221949,-1,882171,-1,-1,-1,577715,46057,482768,-1,-1,577407,627329,-1,684971,-1,400698,-1,-1,-1,271066,420275,-1,504682,-1,-1,-1,-1,742363,434390,458459,-1,-1,-1,643937,273395,539626,971727,-1,-1,-1,723950,-1,-1,896112,898152,244283,817239,-1,885688,-1,-1,542543,-1,-1,862058,528141,-1,-1,450975,-1,-1,853970,108413,175139,-1,294606,866205,-1,-1,875501,-1,-1,74887,-1,83816,604397,56974,-1,240178,-1,-1,490068,-1,154991,952772,457606,404953,167890,552632,949198,552277,246662,-1,584635,478449,640709,740951,-1,-1,205979,730253,-1,-1,63042,334990,-1,-1,421985,-1,-1,-1,-1,462067,660711,726021,53756,211961,649460,-1,-1,658312,414160,313937,-1,-1,794973,-1,-1,765315,408533,189557,-1,-1,-1,-1,-1,574893,-1,405444,-1,-1,-1,-1,32543,-1,867692,625833,188965,-1,679708,471225,-1,-1,884163,-1,-1,316244,-1,19961,-1,-1,832260,-1,-1,125055,-1,-1,181896,389153,606744,-1,-1,220325,558697,250253,430921,-1,808287,-1,-1,-1,-1,661173,819959,-1,414657,-1,68056,832135,-1,178200,38244,-1,-1,-1,-1,-1,-1,923179,712134,617369,676961,699626,122353,-1,523234,-1,-1,723967,432919,-1,883754,179359,262650,-1,721091,148976,548603,-1,400255,-1,919715,540975,-1,546282,-1,16128,-1,372570,461651,253017,90182,469593,-1,-1,-1,-1,127921,-1,-1,739372,466338,-1,-1,-1,560139,773768,830850,-1,-1,414607,305476,-1,447042,462685,-1,666955,839669,60045,-1,-1,444835,-1,82204,-1,775855,-1,-1,-1,512754,136801,-1,-1,711872,-1,-1,-1,642708,-1,397392,826542,337277,-1,497787,-1,-1,83496,907054,-1,-1,124796,377878,374573,240602,797768,-1,-1,813660,-1,-1,-1,-1,-1,669263,802803,-1,-1,-1,312975,98937,506957,80801,746179,-1,891335,-1,380728,-1,-1,-1,279710,-1,-1,-1,367038,529321,314220,-1,-1,-1,-1,775793,633540,-1,-1,154837,-1,-1,-1,-1,485649,-1,-1,568,169188,-1,542962,222465,-1,691848,-1,730833,-1,407857,32559,799260,535315,369260,854604,-1,457089,422056,703845,-1,144673,202462,-1,401559,116936,-1,407625,582078,-1,-1,-1,-1,213726,-1,-1,440510,-1,94746,833768,-1,439129,314513,-1,8083,165006,-1,-1,-1,-1,-1,-1,-1,717436,-1,333415,513646,118292,20298,-1,-1,-1,665671,-1,291157,331288,-1,-1,95668,-1,-1,363260,-1,904493,203290,-1,-1,-1,-1,-1,615320,-1,173561,-1,-1,6588,-1,-1,424619,-1,-1,135411,766276,-1,-1,-1,-1,-1,-1,560047,398719,556826,816829,-1,337724,749068,-1,181151,-1,126344,176472,-1,831381,-1,227536,137202,-1,-1,-1,114496,382225,83358,-1,500529,17968,783891,317443,-1,-1,-1,84740,-1,-1,-1,-1,-1,-1,-1,-1,-1,532691,-1,-1,-1,-1,626797,-1,90745,-1,-1,-1,-1,-1,36095,-1,462788,-1,-1,-1,652017,483430,-1,-1,-1,277557,282868,-1,-1,353907,-1,-1,-1,858559,-1,160346,64476,513918,276440,-1,-1,-1,-1,-1,-1,722512,-1,670452,-1,-1,342903,-1,529747,311771,880995,970125,-1,581742,-1,24961,687339,418701,-1,-1,-1,-1,812956,-1,-1,160722,-1,109987,-1,267956,-1,793285,799917,-1,-1,-1,249228,-1,-1,-1,-1,-1,926907,-1,-1,518312,455495,-1,-1,205643,483596,413565,-1,81718,936822,-1,882662,815121,617689,173239,135186,-1,666530,-1,134316,-1,-1,-1,-1,426881,474271,-1,512636,243845,-1,74967,-1,-1,552466,395920,-1,459605,191632,-1,60135,281296,-1,110939,-1,-1,642209,192576,100094,739531,-1,680780,578981,-1,93799,-1,916653,-1,-1,24369,444068,764728,-1,178251,-1,9905,164409,-1,-1,415946,352521,379264,566183,-1,-1,901370,249841,483364,-1,406268,629953,-1,500580,394595,888479,-1,-1,-1,279987,-1,-1,-1,219339,65447,-1,-1,418030,295104,890045,-1,954811,429763,265787,564086,-1,-1,877140,56930,194895,-1,330555,-1,408035,-1,-1,443785,-1,19878,514800,-1,548740,644919,-1,-1,345346,917303,911135,-1,-1,505231,-1,-1,304276,23973,-1,132638,-1,-1,581934,269474,958211,314757,-1,-1,-1,-1,795347,114457,-1,-1,735895,855822,-1,849733,965193,195873,707494,-1,408179,-1,-1,619427,896572,48223,-1,963068,-1,322341,-1,-1,-1,-1,409878,-1,423675,79796,923120,-1,-1,-1,-1,474004,-1,-1,554222,-1,110401,-1,-1,626878,319057,550281,612191,649559,553077,-1,-1,954435,-1,210759,273625,-1,571256,511414,620900,-1,188227,875341,888704,997671,122454,-1,507829,-1,-1,-1,-1,609869,344835,-1,703228,-1,-1,-1,419923,768908,358715,621281,-1,676281,295444,-1,-1,-1,258046,-1,-1,969474,166620,202773,552558,-1,649839,-1,459783,814839,-1,596905,381589,841382,876364,607548,-1,-1,223211,645891,-1,-1,534610,521619,-1,-1,91513,728314,-1,412369,-1,503198,-1,-1,-1,-1,457544,-1,590119,293143,50419,840460,-1,134704,-1,203333,-1,-1,-1,70226,105321,296940,865291,-1,683942,379290,-1,-1,6453,-1,67302,682907,-1,345829,979402,798530,41020,-1,607117,-1,-1,279657,-1,-1,-1,-1,42875,993004,-1,-1,-1,167387,526426,554301,-1,-1,-1,959218,449224,-1,-1,223814,-1,-1,-1,799231,-1,-1,-1,-1,626970,-1,-1,-1,578631,-1,942377,-1,-1,-1,-1,323396,-1,734292,748563,827304,106990,-1,-1,-1,420258,-1,-1,-1,60079,524935,-1,977220,-1,-1,-1,-1,603322,324150,-1,-1,500034,793546,-1,133166,-1,661235,551484,-1,-1,524742,-1,-1,-1,578726,-1,-1,787695,-1,2737,660714,510898,-1,239235,-1,-1,-1,370076,-1,-1,-1,22144,869433,-1,187711,206040,615897,125891,387330,-1,-1,-1,-1,-1,204547,-1,-1,-1,-1,179540,-1,102999,883264,-1,868056,-1,-1,308544,-1,950851,961826,-1,998912,-1,451028,879518,-1,-1,284470,240019,-1,-1,619322,-1,199349,461397,-1,219419,813061,-1,-1,-1,-1,982524,-1,-1,-1,-1,754736,-1,-1,669512,-1,-1,719605,-1,598612,-1,630780,443761,735066,954076,-1,747810,-1,-1,598757,162556,-1,183617,372041,363524,-1,100470,-1,114579,-1,-1,-1,244787,-1,182168,953020,687560,747930,81884,-1,-1,75078,437129,109672,804352,-1,-1,829301,-1,576949,-1,-1,37635,108401,-1,-1,335651,-1,-1,931148,449899,-1,-1,206837,-1,-1,168897,-1,450204,-1,-1,296228,-1,-1,-1,-1,466204,180432,-1,-1,182394,-1,-1,511616,273354,-1,632827,-1,-1,920360,-1,-1,336621,-1,-1,852615,-1,-1,48414,266957,-1,887494,-1,-1,-1,166723,713901,-1,506843,930877,-1,732637,-1,603169,-1,-1,529688,-1,-1,68541,-1,905519,467051,-1,-1,420739,-1,434882,850238,-1,969253,-1,292109,-1,805996,234629,-1,-1,-1,-1,-1,459789,950379,-1,-1,398161,148672,399761,386745,-1,24606,-1,-1,854221,-1,-1,-1,-1,554263,-1,299664,449199,-1,293762,964594,255020,-1,-1,15590,106468,-1,-1,363073,290773,562434,865150,156396,-1,-1,-1,676095,-1,-1,421299,-1,-1,985631,350095,19490,-1,34054,867878,286657,-1,26945,-1,84393,-1,651066,312705,468397,207392,-1,337669,-1,-1,517844,617947,-1,-1,-1,-1,884343,436426,-1,-1,548065,859717,-1,-1,-1,399740,663258,-1,-1,399180,-1,8169,640683,164697,-1,621873,-1,-1,120831,-1,161741,-1,-1,-1,-1,378730,707908,944853,864718,808225,576100,380116,-1,-1,861316,-1,477568,-1,390796,766385,625997,397637,493302,-1,-1,398239,905517,-1,569207,-1,-1,341289,191938,-1,-1,821801,-1,-1,-1,595341,-1,386471,706524,460346,-1,-1,730414,-1,-1,372192,-1,317007,-1,953839,-1,778138,361329,542713,650141,-1,-1,512659,773085,953387,787092,-1,939716,-1,755206,545027,-1,463765,122639,-1,-1,70198,815324,192133,965966,-1,-1,851481,900446,36538,-1,409204,808262,700012,132980,-1,519239,-1,-1,576914,338514,-1,-1,539384,445476,-1,253460,115550,-1,185002,-1,151217,31907,-1,723654,-1,-1,301316,271348,-1,-1,284088,-1,-1,-1,582748,452200,-1,-1,-1,398545,905707,-1,-1,-1,310875,-1,389146,388742,716879,287702,-1,5029,668723,131646,-1,-1,35808,-1,-1,-1,-1,-1,-1,262720,568105,-1,-1,450658,-1,-1,-1,-1,-1,-1,222827,-1,558184,-1,-1,-1,-1,-1,568666,-1,-1,69055,221055,437771,-1,-1,-1,715577,118422,-1,742718,413256,-1,539694,-1,-1,895762,18285,-1,-1,-1,-1,573988,590915,-1,199783,466544,106056,197926,512819,584461,732491,-1,7150,872880,-1,-1,-1,-1,-1,906197,182588,-1,-1,176738,3672,190474,-1,952256,971282,697898,880275,192834,987118,-1,528785,-1,596462,-1,581581,-1,519577,854205,989180,481809,318548,343542,-1,332553,255510,-1,94292,244248,-1,-1,-1,285400,-1,459731,-1,-1,-1,-1,-1,503922,-1,498152,-1,-1,-1,417390,117084,266193,-1,-1,829598,-1,-1,-1,-1,972340,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,271809,640841,-1,367436,482693,704587,-1,-1,-1,339088,-1,-1,406630,-1,260054,808628,-1,173002,679347,-1,-1,-1,-1,816260,-1,573567,-1,602817,39549,512463,-1,972116,839055,-1,-1,434792,99688,523731,878095,48789,-1,542810,372026,-1,-1,-1,143483,-1,-1,114150,-1,-1,-1,-1,618754,64739,-1,-1,692312,-1,-1,-1,-1,-1,909115,-1,772427,-1,501146,638015,999905,-1,-1,-1,873449,565029,120047,406336,-1,574670,615277,999822,-1,-1,-1,83357,-1,508206,-1,-1,151481,822758,90056,779028,167129,-1,285512,-1,23076,876575,-1,841906,647498,901688,-1,-1,153470,5761,-1,996945,762494,46488,-1,945561,-1,208680,-1,-1,-1,-1,873622,173287,-1,-1,638554,-1,764604,386747,151517,-1,-1,-1,-1,-1,672427,-1,920836,-1,944531,-1,-1,690533,27425,912533,684448,591827,104199,-1,-1,-1,423635,-1,-1,-1,242459,-1,291710,-1,680005,-1,-1,-1,-1,-1,-1,-1,191709,-1,677230,-1,-1,-1,-1,913761,855481,115327,579653,82029,571748,595588,-1,-1,144829,-1,158274,673621,-1,762599,-1,341259,-1,-1,-1,-1,-1,-1,979444,733591,-1,577437,-1,89773,-1,-1,756232,786395,355681,-1,-1,-1,949823,-1,-1,-1,246462,-1,-1,447329,599791,923317,-1,-1,787478,-1,644052,-1,-1,-1,720649,60808,-1,-1,222542,572854,243540,636129,764663,142401,-1,37223,-1,-1,-1,443461,-1,-1,144874,-1,-1,-1,-1,796582,-1,951894,454672,254613,-1,844541,-1,668324,-1,-1,-1,-1,-1,584171,-1,-1,949303,747027,-1,71325,918182,-1,96568,-1,-1,-1,617789,647376,-1,823419,965669,237936,5830,55223,-1,-1,986131,566189,268604,343910,-1,-1,-1,37394,-1,-1,830111,-1,-1,-1,-1,-1,-1,-1,-1,4907,234027,569469,859296,-1,638448,709023,506711,-1,-1,-1,7389,497120,-1,145099,-1,767158,-1,-1,401622,961867,-1,-1,-1,314745,233959,-1,46294,-1,-1,-1,-1,-1,523464,150104,900522,546512,142397,-1,972918,-1,-1,-1,552677,-1,821639,-1,396331,697632,-1,918268,460049,881552,-1,396076,154,545413,577276,75378,-1,-1,-1,274882,457126,-1,-1,351228,183640,-1,654243,-1,-1,-1,515398,383182,70074,536898,216744,473096,69602,258919,-1,-1,345106,-1,361889,-1,-1,636986,-1,234423,450271,-1,272957,-1,-1,325074,248506,130361,-1,67830,195447,562139,-1,-1,-1,556546,544968,-1,480197,519195,941364,971912,-1,-1,788537,459654,946573,780428,-1,514240,-1,498383,-1,-1,-1,-1,-1,495272,-1,195450,150579,157624,267440,-1,374583,352554,57712,-1,-1,689865,-1,-1,157044,631136,-1,856655,-1,877630,429236,880295,-1,79529,-1,599436,146848,-1,-1,902779,972655,507958,29786,992210,-1,-1,-1,989571,776802,71988,539094,604831,212205,-1,852248,-1,543593,-1,-1,716854,533503,-1,960349,-1,252371,723616,855169,-1,-1,-1,302294,12488,686447,627785,-1,834024,700704,45784,-1,273376,-1,152674,-1,-1,-1,-1,-1,912461,-1,299545,-1,-1,-1,-1,-1,270536,-1,-1,101160,-1,695254,-1,921957,-1,226219,843897,673939,-1,708310,906462,559757,832743,-1,-1,-1,-1,762548,-1,-1,801054,-1,440151,-1,-1,997117,-1,627012,672239,684681,-1,-1,-1,598927,-1,-1,-1,-1,68639,-1,715376,-1,-1,-1,291160,676885,721084,737380,-1,-1,-1,-1,841189,-1,925413,471292,986121,5901,648389,641592,-1,514436,-1,810406,319368,201648,-1,81430,819194,-1,660385,-1,744977,787906,-1,715305,794865,-1,-1,229158,-1,21926,-1,-1,168518,702696,543267,-1,-1,733835,-1,570845,657593,507617,202255,-1,316058,325370,-1,454403,401856,-1,-1,982772,-1,434415,-1,-1,521473,203202,475857,644815,507383,-1,-1,179028,438202,-1,-1,-1,-1,-1,660131,763835,-1,-1,-1,-1,-1,127511,150738,814072,283501,878479,-1,199332,-1,681479,887910,-1,-1,-1,-1,845180,-1,575982,-1,82357,-1,-1,350313,396684,598531,-1,-1,-1,11094,-1,134416,-1,929160,109923,-1,514074,-1,-1,333320,-1,158021,818737,871641,-1,552083,-1,978098,575904,832328,411785,383447,-1,-1,-1,558409,-1,-1,339625,937428,-1,778051,284192,-1,-1,-1,308705,-1,985258,882599,-1,988141,397173,622386,410549,-1,-1,741289,688615,-1,-1,-1,870879,257249,-1,-1,794692,670428,705730,438867,371379,-1,-1,646681,-1,179987,-1,717070,364728,-1,688247,759966,-1,-1,673682,129243,258639,-1,990072,947092,156640,614469,-1,-1,-1,741788,587226,-1,-1,617569,-1,339461,890046,-1,-1,846831,-1,-1,-1,184364,282089,-1,-1,14044,-1,-1,-1,-1,477510,387251,-1,-1,766393,197725,-1,-1,834718,978621,-1,-1,784377,160766,921842,968638,-1,152751,74596,-1,-1,-1,854239,-1,775315,-1,-1,89190,855264,910772,131832,270226,379932,-1,-1,390699,165574,140237,19614,-1,-1,-1,-1,-1,145018,877054,-1,800401,695511,798499,130076,734580,185717,118917,-1,-1,-1,413961,-1,-1,-1,230242,698746,-1,-1,-1,-1,877354,-1,577005,38827,-1,-1,893676,-1,-1,-1,982040,-1,846903,274101,-1,-1,-1,793524,411901,-1,825368,-1,178095,-1,652524,953413,-1,760387,621144,-1,417456,54682,-1,500181,527541,700145,999679,-1,-1,-1,292342,770732,-1,-1,499531,306497,668524,396965,-1,-1,226939,134714,503272,78302,-1,-1,-1,-1,-1,155226,-1,579604,458355,-1,-1,-1,365014,-1,476572,224822,-1,18991,214751,-1,-1,-1,-1,862923,908926,-1,-1,-1,-1,-1,941386,-1,-1,-1,-1,938741,-1,687156,-1,988487,204214,-1,992495,333159,-1,953469,-1,133388,-1,-1,-1,-1,-1,222712,-1,-1,574217,840172,-1,-1,97687,-1,-1,-1,651631,-1,-1,-1,720724,-1,252900,-1,234734,-1,-1,308449,-1,-1,647848,802303,352433,532716,636621,410589,-1,105863,-1,579895,-1,-1,212660,371190,355313,580838,264738,-1,-1,-1,193043,-1,934700,-1,313220,477551,776278,-1,276065,-1,614160,417752,-1,358818,593843,-1,-1,-1,369996,474671,-1,617330,-1,-1,-1,-1,-1,569355,-1,627970,432753,293078,539717,-1,-1,-1,-1,633528,-1,767601,491857,-1,328681,451166,-1,481616,-1,350932,540150,959745,-1,-1,-1,203298,-1,696516,380932,59439,-1,935856,-1,222120,-1,-1,-1,707256,-1,554647,-1,-1,712665,-1,-1,81077,166307,160056,354249,-1,506997,939107,790268,523751,816114,799083,-1,631556,7443,-1,208381,244653,-1,-1,1146,931752,495045,-1,621611,-1,-1,-1,236221,235063,923768,188161,278245,-1,-1,323045,169347,-1,-1,35589,257588,-1,111064,-1,227367,393890,-1,-1,365384,424050,407717,-1,-1,771592,319090,-1,-1,723055,-1,266167,-1,819975,-1,95946,990450,-1,-1,-1,6651,-1,-1,247428,398712,-1,-1,-1,-1,-1,-1,426864,-1,-1,-1,551368,-1,162998,-1,177582,775595,-1,-1,-1,-1,-1,-1,473538,547108,286066,-1,825273,-1,880007,-1,812045,842827,-1,123441,-1,-1,58579,-1,-1,822750,93301,-1,-1,435330,80833,443842,996414,178561,641299,-1,727423,512507,257656,-1,-1,-1,-1,-1,-1,260216,-1,687837,927251,-1,-1,232552,-1,460886,102602,-1,849907,661941,901848,867474,-1,-1,-1,-1,-1,-1,-1,-1,-1,828896,612736,541939,570967,743478,-1,167654,27053,125705,-1,-1,-1,751920,-1,-1,549176,273787,-1,-1,385151,-1,-1,154089,394910,266533,309248,445608,-1,-1,-1,-1,-1,-1,604663,-1,-1,244318,-1,-1,-1,-1,582766,-1,-1,-1,243686,160424,971443,-1,-1,993915,865138,880855,-1,-1,524707,223558,46138,241167,-1,685273,-1,100988,142027,578403,-1,768033,299117,21512,-1,-1,2189,88860,-1,148168,-1,-1,230184,827865,750941,-1,-1,375610,-1,-1,519478,-1,-1,-1,385657,-1,772948,854610,799470,-1,750919,-1,902530,-1,834280,-1,478807,363130,-1,-1,-1,-1,77415,410169,254043,219511,907911,680661,-1,821318,843151,427890,479903,-1,71860,159614,-1,913669,-1,218636,24273,-1,-1,475322,-1,-1,-1,-1,495839,-1,173575,923540,298305,485940,-1,692509,-1,924321,-1,881597,81997,-1,-1,-1,-1,303361,-1,-1,-1,-1,522878,-1,-1,-1,-1,-1,349627,35063,142461,-1,-1,584248,-1,-1,-1,301201,888832,-1,-1,443487,396130,502716,343765,357127,-1,-1,-1,26830,-1,-1,-1,225232,333017,276496,-1,658366,160544,-1,-1,-1,228570,-1,376779,526089,-1,-1,-1,-1,792611,654723,92975,66473,-1,803401,-1,614675,208742,905132,740013,203575,-1,791322,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,201109,-1,-1,310173,-1,776753,639932,-1,-1,589825,845557,-1,-1,-1,761902,695114,-1,495985,-1,-1,31650,-1,309285,859494,348553,219216,-1,-1,874003,-1,642983,807501,-1,-1,85467,-1,914954,889953,-1,113741,753330,-1,853453,-1,-1,-1,528825,-1,690033,823540,334327,-1,877928,-1,402533,-1,-1,827600,-1,-1,921843,618612,132937,-1,471403,473474,-1,-1,-1,401604,730721,446816,395167,-1,-1,-1,425322,452841,187339,972139,576596,-1,508154,572263,-1,-1,600602,208450,297199,-1,733840,115267,990887,-1,-1,-1,951169,75481,-1,-1,870340,944075,-1,56613,519701,435265,-1,-1,722868,120098,775518,750206,-1,-1,-1,653030,-1,-1,92543,-1,269166,-1,192798,-1,-1,479323,683468,785330,-1,678195,188012,218562,-1,593944,-1,221143,-1,940158,-1,749713,-1,-1,-1,-1,-1,-1,646242,-1,-1,280490,97657,145266,-1,76185,-1,239248,-1,-1,54696,-1,722751,930144,293920,-1,121685,311969,-1,-1,-1,885457,-1,988026,-1,-1,-1,-1,497215,295431,801954,223844,-1,-1,865905,19602,833339,385123,881566,999348,735492,-1,566838,708665,-1,419909,-1,973488,-1,10771,-1,469686,426060,-1,414442,-1,-1,-1,526509,-1,-1,294517,-1,-1,799822,336926,769247,197867,-1,361290,-1,161054,-1,146577,-1,855165,858064,-1,-1,-1,-1,-1,-1,-1,-1,469299,235607,-1,215647,-1,687174,-1,-1,-1,574205,126096,-1,-1,818195,-1,654111,486449,248149,201657,354440,128646,885013,-1,-1,-1,-1,-1,-1,-1,803837,441351,682431,735668,566720,-1,-1,360687,-1,-1,-1,793631,-1,-1,38807,-1,466922,-1,-1,627851,-1,-1,-1,-1,496410,585758,-1,-1,-1,-1,-1,873570,-1,24173,-1,276919,337244,-1,247378,128392,842161,594600,-1,-1,-1,-1,-1,387971,-1,-1,616253,-1,-1,-1,-1,296706,-1,-1,-1,984135,431056,578555,-1,-1,74515,-1,-1,-1,-1,405131,-1,-1,496635,-1,55414,324982,484332,-1,-1,143019,168352,744774,189283,-1,-1,104791,700553,-1,636711,382031,-1,-1,-1,677003,-1,486800,664763,-1,690249,-1,155387,602007,-1,464095,-1,-1,373577,671306,-1,-1,865212,-1,373288,798925,987529,950486,40752,856400,199248,536375,-1,-1,-1,-1,767108,938881,8406,-1,700268,-1,128917,208750,-1,41821,433828,978298,458141,-1,-1,-1,-1,-1,786905,-1,-1,-1,-1,44917,580460,-1,191410,829482,629540,304153,-1,479236,-1,563022,-1,-1,457235,717195,165895,-1,376618,-1,-1,638713,-1,577505,-1,745563,546886,649796,232483,-1,672086,444350,794282,-1,-1,123673,857884,-1,830632,-1,-1,-1,-1,776472,359323,-1,527692,501549,9726,156811,149563,395108,560161,626676,-1,-1,-1,-1,-1,974612,537466,-1,765173,-1,718476,-1,-1,914618,-1,348948,625150,881089,727053,374622,467248,-1,635181,-1,-1,-1,414380,-1,-1,557847,279090,-1,-1,866771,565825,-1,843720,300093,391712,607230,-1,-1,-1,810234,-1,-1,-1,-1,-1,510618,-1,156788,85047,539311,653908,409133,-1,-1,-1,-1,993760,-1,-1,-1,338359,-1,125574,80124,513743,-1,-1,-1,-1,7209,79776,191700,-1,141979,-1,-1,900262,58596,-1,720911,189347,991774,-1,-1,69453,-1,-1,-1,-1,-1,-1,-1,710154,698409,-1,-1,-1,162722,852825,653154,-1,-1,990362,895242,327731,883358,86750,-1,130950,563897,869648,736104,-1,-1,-1,429602,-1,528622,-1,-1,157615,781291,-1,-1,327334,-1,-1,999934,204140,-1,-1,-1,727993,-1,-1,851699,639791,-1,-1,-1,-1,974817,-1,-1,705856,-1,925471,-1,682046,-1,-1,584249,788277,-1,-1,-1,35250,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,343987,632779,60806,-1,-1,-1,770153,867517,-1,-1,-1,140329,354183,-1,623583,885098,-1,708888,-1,478363,-1,910428,-1,-1,527798,150861,741075,-1,621833,-1,-1,-1,34439,818171,95341,826714,337675,-1,732922,872935,-1,207757,-1,493856,43529,373775,775109,-1,489200,-1,-1,-1,546193,-1,-1,-1,-1,-1,518338,-1,541842,156465,-1,-1,964631,-1,48080,-1,163606,-1,-1,-1,-1,-1,531448,953979,-1,-1,594492,670748,-1,177259,-1,-1,992007,591036,-1,-1,811964,713455,409479,603801,-1,998127,-1,-1,-1,-1,-1,-1,164396,-1,-1,-1,-1,985291,380417,-1,60175,659278,-1,762521,584669,-1,587626,221267,819641,715196,-1,541218,996387,474102,103527,-1,66506,-1,-1,581994,-1,503750,906299,-1,-1,-1,-1,18648,-1,668491,325750,612765,-1,200820,414629,-1,-1,14995,133073,-1,-1,854357,-1,382314,115968,478338,652616,-1,499534,-1,-1,-1,852311,-1,-1,-1,-1,-1,600314,-1,-1,663242,915823,35627,-1,-1,-1,-1,526901,571147,-1,-1,608020,183050,-1,-1,-1,-1,975575,-1,-1,-1,-1,-1,-1,543065,-1,785436,502257,-1,-1,894970,277893,-1,-1,-1,97444,-1,-1,922579,-1,197718,501155,470507,-1,-1,-1,577534,-1,519157,-1,-1,571037,85476,151870,-1,-1,-1,-1,222092,-1,-1,789550,213136,-1,356876,206079,-1,-1,-1,-1,726682,797017,835780,802202,74507,973426,-1,-1,945477,293261,401530,118420,817431,539412,948645,-1,-1,-1,-1,610696,77178,-1,-1,274105,872976,-1,936364,181251,-1,51926,-1,-1,648706,-1,455238,657339,-1,-1,426764,-1,786765,261309,119337,-1,867560,772090,986712,-1,-1,50958,-1,-1,316954,-1,-1,-1,593524,-1,-1,-1,54560,-1,232363,730430,-1,-1,-1,123429,109787,709663,366266,-1,674919,498223,-1,121827,164362,-1,-1,502970,64573,196833,585687,542349,-1,618688,794934,-1,991202,111274,-1,-1,537588,23365,-1,446928,536024,-1,472243,395416,886656,-1,-1,-1,583754,-1,569283,-1,271154,-1,-1,820526,236635,-1,394770,254775,933157,824491,969112,901139,-1,-1,-1,771022,427552,134083,-1,242998,-1,-1,-1,-1,-1,529662,-1,510028,-1,547501,614779,-1,821145,4632,865648,-1,-1,614660,-1,772639,-1,783280,-1,-1,330271,837520,668024,-1,-1,-1,385599,358618,-1,331399,644417,-1,483357,-1,627792,-1,-1,414439,-1,-1,175577,39815,-1,351386,11478,651285,-1,830467,399471,479001,-1,-1,-1,-1,-1,-1,480797,-1,484685,122549,935219,-1,778921,35075,471514,-1,-1,503377,-1,599327,-1,-1,217271,-1,238023,558031,-1,-1,734308,-1,853070,457296,877859,-1,575366,59194,804535,-1,176692,-1,817470,-1,-1,-1,156581,420182,159010,-1,123620,-1,-1,-1,666568,-1,-1,-1,650462,-1,-1,182787,28311,431869,-1,-1,289352,994295,317895,754078,-1,11274,-1,80253,-1,66331,-1,-1,-1,78591,-1,-1,-1,81198,-1,22086,-1,46427,-1,-1,-1,303968,-1,269296,47576,990316,445045,239257,-1,-1,-1,-1,-1,951812,941123,86113,-1,224783,217463,-1,-1,900520,-1,59387,-1,876382,-1,-1,315435,-1,281871,-1,398930,984502,-1,-1,-1,393527,-1,-1,-1,-1,-1,286741,-1,-1,-1,206397,-1,733946,120519,-1,126883,-1,-1,-1,-1,-1,-1,303197,750717,920200,-1,-1,16061,-1,527027,453647,100844,-1,260819,302333,124263,-1,702931,-1,767573,529892,830204,902614,-1,365936,93075,-1,-1,349202,-1,-1,246659,816945,-1,467026,-1,42545,392606,683867,623470,36401,521017,-1,-1,973340,378123,930294,682864,916238,187431,-1,-1,610698,-1,48397,784842,616294,390845,761911,-1,-1,-1,557625,-1,-1,744945,-1,90996,-1,808475,630092,253606,-1,64275,431956,-1,909159,105217,-1,998525,-1,840260,-1,747882,818944,-1,737768,344789,-1,718692,518669,-1,579276,456793,405235,-1,445182,-1,271910,-1,-1,-1,-1,-1,182813,-1,-1,51830,-1,500386,677270,399271,521981,-1,-1,-1,-1,-1,508910,-1,851230,619731,-1,660058,-1,125207,252343,-1,271767,436234,-1,-1,515448,334635,-1,-1,619589,218360,-1,-1,179477,-1,133968,-1,-1,-1,-1,522785,427740,-1,-1,4633,-1,-1,-1,-1,-1,-1,-1,-1,282635,-1,-1,731691,-1,438910,-1,-1,-1,-1,-1,-1,799671,-1,-1,-1,73737,-1,-1,844971,-1,-1,-1,-1,-1,791523,100015,40075,500096,457862,778261,-1,402525,671681,376267,-1,294177,-1,-1,-1,-1,-1,-1,562966,-1,-1,-1,298068,601384,53456,120858,192785,-1,919813,-1,509556,222357,-1,87323,571991,194545,-1,737794,-1,249080,213485,609408,-1,-1,-1,500768,199236,-1,747913,862511,-1,852595,-1,29575,-1,71822,304260,932932,-1,771284,-1,955897,91612,-1,-1,-1,-1,-1,881981,-1,59226,712724,-1,260816,-1,364051,190539,48002,582200,445741,-1,847002,970234,796485,-1,608863,406290,282550,94537,833233,438173,137580,846922,-1,-1,-1,441020,-1,863418,227254,427175,45773,143361,-1,-1,838399,301089,204554,-1,237441,583507,-1,-1,558324,-1,-1,-1,823403,451363,636368,-1,-1,714752,821653,-1,798553,904142,746649,-1,678307,203490,648448,-1,43531,798363,262188,114635,-1,-1,-1,977627,-1,644837,73310,-1,106413,25177,-1,-1,-1,-1,435304,-1,-1,-1,-1,-1,-1,393455,89458,-1,393472,-1,824079,720818,686496,896271,339398,-1,710107,540304,394006,-1,-1,788707,-1,-1,31762,-1,613431,561263,-1,890552,768131,678992,-1,793627,-1,-1,-1,-1,603323,15199,618361,-1,769454,-1,-1,955256,-1,18085,290448,-1,-1,311214,-1,691801,-1,-1,-1,-1,-1,245718,465611,386902,-1,-1,-1,411196,242195,-1,-1,589273,383818,675121,479842,787518,-1,42148,788536,-1,175635,-1,-1,-1,-1,-1,-1,-1,530769,-1,-1,799814,714103,571690,108912,510919,-1,961620,-1,-1,-1,-1,9680,-1,439100,485972,291156,460100,-1,-1,-1,-1,-1,-1,901557,-1,382035,-1,697196,-1,-1,182942,-1,113810,820975,376373,846795,-1,-1,162761,907439,865119,156737,795811,-1,-1,-1,-1,-1,-1,-1,-1,-1,80455,771841,-1,-1,-1,-1,482232,-1,-1,462912,-1,-1,-1,-1,-1,-1,-1,800402,162333,-1,-1,-1,793724,132003,787909,390782,305000,829897,956866,456319,-1,846140,-1,-1,991767,172424,-1,245149,-1,461205,-1,-1,560936,388904,435171,198016,-1,-1,832113,939007,292428,736801,-1,87252,-1,38328,-1,592829,-1,-1,284089,144918,-1,-1,-1,648803,765909,-1,-1,376702,-1,-1,-1,669496,-1,370990,-1,958586,-1,982557,565479,71600,571299,606067,-1,622246,890234,-1,-1,-1,553378,-1,298991,150487,411526,-1,-1,266887,730623,458703,828699,848234,123987,436986,995057,864431,-1,732611,336700,545645,44662,605170,504147,-1,841270,693560,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,256842,506857,294029,34862,973746,-1,730070,-1,624330,776872,-1,405334,986981,-1,-1,447739,991221,304107,-1,-1,843805,918232,950121,254848,-1,800001,545163,-1,-1,946704,472518,-1,234068,463199,315507,-1,-1,-1,832963,892733,-1,260107,-1,59562,-1,-1,-1,-1,605276,-1,886157,72572,-1,-1,-1,204497,-1,-1,336375,-1,807566,561046,-1,-1,-1,159022,833175,-1,-1,-1,610128,-1,620460,-1,869358,290961,544446,-1,858526,-1,-1,822190,418600,-1,460335,746391,-1,908986,285213,-1,-1,68953,-1,-1,11071,-1,199796,-1,730982,164720,757046,-1,350224,153306,-1,882255,-1,182682,-1,-1,-1,400166,736414,-1,-1,-1,-1,565786,-1,204807,492063,-1,-1,352733,-1,245442,458767,813681,-1,45975,905158,703531,-1,-1,-1,127282,645987,-1,-1,-1,189604,17443,742525,403028,-1,701538,-1,403600,-1,885005,-1,290394,-1,920369,413467,-1,-1,886901,6818,965476,681009,-1,-1,-1,385671,-1,548996,-1,-1,409386,186914,-1,942856,-1,-1,72306,402330,868653,-1,663279,-1,674830,-1,729568,480259,905714,-1,807432,-1,570732,957451,745591,-1,-1,-1,-1,628886,674970,605421,-1,73452,187118,941781,173204,-1,-1,-1,736010,530157,595142,162918,361831,739109,252234,559604,986113,481533,455965,-1,382968,-1,701441,415270,-1,-1,-1,-1,480930,30597,-1,647669,205478,-1,-1,489250,994204,-1,-1,334499,352805,60520,-1,127443,323284,599260,-1,-1,-1,-1,541369,269229,-1,399318,240706,240690,629223,823837,75454,-1,-1,-1,-1,123237,-1,-1,-1,357023,-1,-1,778803,-1,44500,-1,468497,-1,562992,-1,-1,-1,915510,107586,198893,-1,-1,792063,-1,-1,537459,330298,-1,-1,-1,857231,-1,740070,763596,-1,-1,387186,-1,-1,810867,-1,817519,551095,716346,364577,-1,618790,-1,-1,743558,169255,678711,940414,558874,-1,683503,810963,187361,765198,-1,918328,-1,-1,563095,-1,983050,-1,-1,-1,699407,-1,429180,40198,-1,51771,-1,425040,-1,-1,346177,2044,-1,712018,-1,717619,-1,-1,546445,462872,-1,-1,725050,-1,-1,228094,187063,856116,-1,433882,-1,284872,-1,-1,-1,248591,367129,943747,-1,798593,164780,-1,-1,701412,856376,-1,-1,-1,523405,229966,-1,81125,70036,64985,551810,769834,-1,175507,-1,-1,871695,-1,657236,916470,99750,-1,-1,307742,790331,88710,98384,936921,294349,150695,-1,860386,-1,468619,809821,725192,191834,170738,-1,-1,-1,-1,544404,-1,930930,-1,-1,203605,-1,168349,596097,466358,-1,-1,930287,187965,-1,-1,-1,-1,38472,727854,669861,244854,-1,11251,30994,274764,-1,-1,541171,31853,161299,-1,-1,-1,-1,-1,134190,694391,537398,570813,-1,400038,-1,598666,878220,16181,612571,337886,820237,901201,815055,-1,-1,366604,-1,108113,-1,319927,141102,417440,-1,-1,-1,691958,-1,-1,190201,-1,-1,-1,698252,-1,663165,-1,747243,-1,-1,-1,104559,-1,-1,217354,663497,656123,-1,-1,367077,-1,726540,707898,831360,-1,-1,-1,593614,436261,21441,-1,867409,286869,122376,-1,500759,-1,991388,-1,-1,-1,-1,-1,49198,240391,-1,-1,-1,-1,-1,956121,639439,555517,-1,694334,51561,-1,-1,783135,-1,234487,615060,-1,-1,-1,-1,-1,-1,289736,-1,-1,653887,-1,-1,201408,-1,246945,-1,-1,581624,867873,-1,-1,-1,-1,-1,32325,864097,147220,-1,-1,618984,780760,573289,909673,-1,435700,709348,640992,599936,813112,-1,289601,-1,640066,-1,-1,-1,-1,-1,-1,330401,-1,759243,-1,505589,192129,-1,669309,781579,-1,-1,-1,719607,-1,750539,-1,790245,-1,277475,-1,-1,77008,-1,737481,-1,173807,-1,604949,578699,-1,684877,46905,997476,456708,563591,-1,-1,160278,-1,898940,882189,762043,-1,422301,822701,838548,-1,-1,-1,-1,-1,-1,-1,982687,40614,936946,-1,-1,-1,26810,-1,180430,233300,-1,-1,-1,59129,621693,461499,98411,943521,588624,447045,430272,11503,406649,-1,875321,-1,-1,-1,-1,54024,669872,453260,451327,204524,584101,-1,-1,-1,807959,437140,-1,-1,789557,-1,-1,-1,-1,861047,474796,612566,68934,659679,283411,-1,-1,440216,326884,-1,-1,-1,-1,-1,715664,-1,-1,-1,-1,257532,791956,584584,-1,853628,247285,-1,-1,-1,155608,699067,-1,943972,190555,656883,-1,-1,-1,-1,63693,41974,824970,-1,348770,298082,-1,-1,30514,-1,-1,-1,416836,-1,-1,-1,-1,305684,716966,918775,-1,-1,795622,873484,-1,-1,13943,286315,608477,388013,560660,449647,631001,-1,-1,140312,-1,-1,-1,-1,-1,-1,116077,545985,743552,437526,56923,903601,-1,-1,366558,972871,-1,987722,-1,-1,-1,499875,-1,43563,-1,-1,-1,773705,-1,653184,-1,695832,960797,775633,953397,149151,381388,790755,961803,-1,-1,784508,-1,-1,-1,-1,-1,627188,-1,-1,-1,106676,907650,-1,-1,-1,-1,436230,-1,367669,-1,30723,-1,320274,472139,888239,218475,817703,148323,850450,679512,-1,683223,72719,108446,-1,2609,118561,-1,484173,815672,932044,-1,954784,902633,-1,-1,-1,419623,-1,-1,386842,535340,329127,-1,164542,-1,-1,643003,776387,-1,-1,930572,-1,-1,-1,7570,-1,884150,-1,304592,-1,666755,-1,-1,278464,-1,-1,-1,-1,513602,73508,-1,365463,112424,-1,795567,185202,172643,685535,39809,795089,555719,-1,-1,-1,-1,-1,945419,-1,-1,171815,-1,-1,-1,451230,-1,80107,-1,-1,216878,-1,-1,-1,448221,-1,-1,376561,-1,-1,704732,-1,-1,-1,-1,-1,293025,262705,825766,57755,43738,-1,812653,524685,540117,986318,-1,750664,-1,-1,-1,-1,755626,-1,-1,-1,100175,-1,458255,-1,-1,611343,557844,-1,161461,213271,-1,395267,-1,-1,428857,-1,289270,100141,384155,28313,-1,-1,296237,-1,565487,-1,93655,641974,102770,475197,92720,448188,938685,969035,-1,-1,792387,796031,-1,-1,-1,-1,-1,-1,110880,-1,584948,-1,-1,-1,-1,-1,-1,552788,-1,453030,-1,-1,-1,30673,-1,-1,-1,115540,-1,-1,-1,-1,-1,-1,-1,780277,-1,41990,662571,981322,331350,-1,873892,867336,527726,-1,-1,-1,82242,604381,582732,43765,-1,388446,-1,-1,-1,-1,-1,786499,646664,99369,-1,190022,730218,-1,763957,-1,663349,428119,-1,985102,-1,-1,529012,-1,927227,879432,281931,-1,-1,-1,218727,-1,-1,-1,-1,257267,747409,643512,-1,-1,336528,408108,-1,587362,-1,412698,285560,199039,-1,909980,-1,507782,511798,659932,-1,-1,-1,252049,994526,-1,-1,447335,-1,112126,-1,-1,-1,716516,455878,163506,-1,696152,-1,-1,-1,666081,190914,499301,-1,-1,-1,340154,-1,-1,817686,190299,-1,769615,235556,-1,740158,438756,-1,381957,823667,137496,691706,14744,-1,182804,329707,-1,691752,284609,-1,287820,88438,343024,510854,964116,24239,-1,647189,-1,-1,-1,352041,-1,561244,200771,988016,395547,-1,-1,898749,-1,207487,403935,167443,951827,-1,-1,326525,-1,-1,102753,-1,879618,-1,-1,-1,-1,-1,449719,-1,-1,517731,-1,-1,981439,-1,269250,-1,707811,426959,-1,221103,367440,994939,407756,739469,395067,-1,-1,-1,581412,-1,325775,-1,358991,-1,932365,-1,765028,394868,19963,-1,44726,-1,-1,77665,1311,-1,-1,217174,-1,-1,-1,985415,-1,-1,346282,-1,-1,288933,149120,-1,-1,362321,695084,263481,219193,-1,702982,894365,-1,148211,777042,-1,625190,-1,-1,-1,782582,310290,-1,-1,-1,939801,-1,7851,-1,925989,101736,-1,-1,-1,214663,298804,-1,-1,-1,574747,572804,-1,-1,-1,662333,-1,-1,343148,-1,-1,-1,-1,-1,882138,-1,892030,488105,-1,130708,744848,-1,-1,594482,696899,30903,-1,131156,302231,-1,-1,467513,242428,-1,-1,434432,627741,38756,537330,-1,-1,953552,-1,607788,63863,-1,880185,561720,507250,837773,-1,721797,155259,-1,-1,767246,23269,-1,657799,532770,-1,719016,-1,472878,-1,-1,470561,757093,163336,118825,238630,65704,-1,946919,207985,359149,523643,836743,307442,-1,-1,709353,-1,97248,734304,-1,162446,926085,-1,-1,303450,-1,-1,-1,-1,-1,667501,157972,-1,554736,221692,-1,312089,281132,481187,638194,912149,-1,-1,480300,-1,175147,953395,-1,220572,-1,-1,-1,845722,73482,344848,-1,57707,327784,801763,-1,-1,-1,-1,657143,927596,-1,542263,-1,-1,331807,358300,399118,382405,81429,-1,-1,218947,-1,799485,586273,-1,-1,-1,453641,-1,560738,491566,-1,-1,659881,-1,528969,936374,741626,720639,202378,363872,601023,249392,-1,699463,-1,56518,-1,422278,950823,-1,-1,862164,880767,259365,187111,104307,-1,597657,897676,-1,387118,712254,788834,-1,856348,206464,-1,-1,627086,998678,347792,-1,-1,220043,-1,-1,-1,-1,-1,-1,8559,541622,742875,-1,-1,-1,-1,-1,391301,514370,501217,370142,-1,-1,537804,507497,206586,906338,-1,-1,124192,-1,-1,217964,-1,679607,-1,-1,53337,-1,-1,-1,841532,-1,718089,-1,-1,-1,75473,-1,822871,441527,-1,-1,533103,-1,549553,-1,-1,-1,-1,620583,114341,-1,19055,-1,391531,-1,-1,-1,743428,-1,-1,595030,-1,-1,-1,-1,-1,555621,-1,-1,806729,-1,-1,-1,-1,352466,130551,-1,499506,231742,-1,868669,540953,-1,528336,316457,810387,-1,850618,215713,-1,326626,31290,-1,744700,897302,-1,861687,-1,-1,483065,-1,831658,746169,649679,75718,419971,700821,-1,632124,-1,186766,517713,148813,-1,215958,-1,-1,158886,987778,-1,-1,704903,-1,593105,766822,-1,-1,-1,-1,161752,-1,941836,441845,715057,-1,-1,-1,700040,-1,940176,826993,-1,718218,670255,-1,126311,-1,-1,-1,903505,633278,-1,492806,-1,-1,666106,610565,-1,462459,667108,-1,-1,-1,168564,-1,418931,512509,691803,-1,769012,147740,-1,-1,-1,366626,-1,276017,-1,-1,934369,205123,-1,227709,-1,-1,358895,-1,-1,566140,-1,830558,-1,-1,-1,-1,-1,-1,871901,520939,-1,803236,-1,393849,-1,-1,-1,-1,767685,141500,660012,578694,-1,-1,-1,676587,-1,740234,-1,318224,-1,729078,-1,635230,-1,-1,-1,-1,399252,765993,455644,-1,-1,627911,648865,193976,865753,-1,-1,-1,-1,-1,-1,-1,564387,-1,454123,483568,-1,903546,777609,666218,-1,794886,-1,-1,-1,408007,-1,-1,730028,234639,-1,-1,-1,-1,882489,856433,638395,-1,780582,814392,-1,-1,-1,326873,337466,522667,-1,50216,570235,-1,-1,229108,-1,343917,818796,-1,388336,-1,670606,258843,887310,712798,-1,-1,131411,298226,-1,419551,-1,-1,-1,-1,593205,615585,-1,387460,530432,253763,-1,-1,-1,-1,-1,351982,24560,-1,-1,-1,51210,-1,-1,668811,-1,-1,-1,-1,291953,393049,592623,427153,723365,372078,-1,978237,778923,-1,-1,967825,-1,637879,432025,624052,4465,20943,-1,-1,-1,-1,200000,684506,-1,980310,-1,844235,158682,-1,-1,-1,-1,-1,755368,268910,675804,-1,315153,941397,98447,171485,485778,804992,834357,-1,-1,194299,113948,463857,-1,-1,879766,32660,-1,-1,100179,594406,-1,8796,-1,-1,-1,-1,-1,-1,-1,500865,852660,525077,960228,-1,-1,158215,-1,-1,-1,30679,661962,-1,-1,-1,-1,-1,385463,-1,357765,-1,-1,-1,395021,546370,908486,795333,-1,-1,150715,-1,-1,765677,314071,-1,476446,-1,-1,-1,-1,-1,-1,-1,-1,779023,-1,-1,371280,-1,505284,-1,355054,-1,-1,427788,331985,970919,-1,832111,808537,-1,495241,81749,-1,182575,953983,100552,300353,195152,276162,-1,-1,974032,645765,322748,543614,-1,-1,46376,886628,566611,-1,56086,552519,932490,-1,802669,-1,-1,-1,923830,-1,128798,737033,356042,-1,-1,-1,-1,962848,14101,741971,-1,155817,230107,-1,-1,385409,776854,592790,-1,306711,-1,513313,217506,-1,35306,-1,490309,-1,-1,119755,107271,753427,-1,338434,-1,-1,533604,291651,449415,-1,-1,-1,730056,163558,-1,-1,-1,-1,189147,-1,141520,-1,502172,-1,-1,742191,-1,321353,743405,332974,598136,606813,725331,-1,806847,-1,225436,-1,935332,-1,-1,272186,-1,-1,425728,593224,-1,994742,138576,-1,323181,807877,-1,361340,83916,-1,-1,407391,-1,-1,-1,77371,-1,-1,-1,-1,347785,536278,629022,631241,-1,68806,-1,-1,-1,-1,209330,811772,-1,-1,-1,749438,589402,68623,-1,-1,-1,809650,9397,-1,625968,86931,146356,-1,-1,-1,999820,957045,-1,-1,507675,985394,-1,769931,-1,931238,430753,910936,-1,-1,164472,766107,-1,574077,-1,-1,855338,-1,340377,393765,362482,-1,-1,-1,-1,256889,300259,-1,-1,-1,165288,-1,-1,207605,-1,-1,149271,496473,-1,-1,-1,-1,685903,-1,322659,17332,-1,14401,-1,-1,-1,-1,320098,355327,-1,-1,610005,409688,-1,159843,349070,655591,-1,772275,71131,-1,-1,-1,829739,349368,-1,-1,292178,-1,-1,-1,878619,384834,563573,532541,147265,114124,-1,-1,793137,379199,35677,-1,677882,936773,17434,775284,299137,-1,305029,599079,709802,-1,-1,725482,893064,517721,-1,-1,924525,501039,746639,853856,-1,345640,255485,554818,-1,-1,-1,35744,686610,-1,178576,-1,80890,271391,-1,687820,-1,375050,33140,169249,-1,108841,722914,-1,226604,942379,-1,795011,-1,-1,153882,-1,-1,-1,220732,-1,895643,216735,174106,-1,433928,-1,-1,-1,283132,-1,108522,77211,902187,726024,23618,-1,633398,711005,914482,414429,214420,-1,-1,-1,-1,554193,165622,-1,-1,-1,815720,961345,502268,-1,276321,472501,350160,292586,-1,981230,440191,-1,-1,-1,69009,-1,382798,-1,-1,493977,572750,-1,903464,395381,770041,380735,-1,273956,-1,-1,305164,-1,268159,-1,-1,946707,-1,717328,-1,734694,-1,888903,169073,-1,305142,-1,-1,-1,713645,103563,-1,917443,-1,583573,858941,-1,901639,-1,603479,278424,493752,-1,888311,-1,294910,-1,443330,-1,81630,-1,381983,-1,-1,-1,189254,-1,-1,331291,78733,-1,-1,-1,-1,465170,-1,465898,565448,-1,598262,-1,-1,886441,-1,265110,711977,992173,-1,-1,414610,-1,-1,-1,931537,385670,912234,38775,-1,397884,914150,1942,372595,298102,324173,-1,834856,-1,748062,-1,322000,957925,-1,362388,80245,-1,224086,-1,-1,236719,-1,338158,314627,619201,299888,-1,921078,596663,-1,755927,456799,-1,508168,-1,752609,-1,-1,170479,-1,369501,739757,-1,-1,-1,943656,-1,-1,1145,-1,945045,838384,695609,-1,-1,-1,470235,-1,357064,364317,-1,132495,-1,604741,-1,-1,-1,-1,539084,180707,-1,-1,-1,252924,356746,730473,780184,-1,-1,214701,-1,476018,-1,-1,-1,-1,204746,-1,-1,-1,412009,945744,-1,-1,748778,-1,110487,-1,-1,753878,-1,921503,-1,-1,-1,925533,-1,-1,894260,-1,454030,-1,763871,-1,-1,310480,-1,259201,939639,-1,-1,-1,-1,-1,-1,101644,-1,-1,669916,-1,44819,697677,-1,104483,-1,-1,-1,38560,12224,93911,345181,-1,89898,-1,-1,-1,-1,621500,630121,-1,-1,920177,-1,531620,-1,3348,194117,278895,704188,-1,732805,214436,-1,-1,823912,203099,369099,-1,-1,808456,-1,-1,-1,-1,743018,230323,-1,355326,-1,238241,-1,328207,-1,453363,993824,-1,-1,-1,-1,-1,128783,-1,735307,932710,668529,-1,700812,-1,748634,-1,-1,556200,-1,-1,-1,801046,370836,435925,894075,857911,-1,956587,22337,415714,-1,251643,701881,-1,930593,-1,-1,-1,932937,835099,760161,540805,-1,-1,433578,-1,504932,-1,815610,-1,-1,536922,726920,510537,682496,577998,-1,-1,-1,-1,27296,61101,-1,-1,-1,-1,583654,-1,820723,27371,509821,-1,787035,126784,-1,518086,441992,691143,-1,306717,-1,647656,293363,612187,265017,-1,-1,-1,529760,611334,490511,752362,722722,327324,528290,576007,855555,417599,356836,491231,245866,690948,-1,-1,686798,-1,-1,938938,-1,-1,572290,-1,371153,280676,159296,219382,-1,-1,728650,-1,813299,541797,-1,-1,-1,402723,-1,656955,-1,-1,345651,240201,90725,-1,938595,-1,-1,213371,458897,-1,845401,-1,881716,-1,-1,-1,469328,-1,844631,-1,-1,721147,313286,335115,873895,526844,-1,-1,505708,637608,-1,-1,525750,317227,-1,-1,532572,-1,201381,420388,-1,-1,411723,298464,637060,-1,517562,820317,-1,451118,-1,-1,523703,-1,-1,274042,882398,-1,581727,-1,-1,-1,-1,-1,-1,-1,-1,525525,-1,-1,904275,-1,-1,446487,514949,-1,-1,677769,-1,-1,-1,-1,-1,207726,-1,-1,-1,-1,-1,-1,375921,198465,813395,-1,857343,835311,837900,150022,-1,-1,103699,320056,-1,-1,-1,483773,-1,-1,-1,-1,513080,-1,-1,-1,-1,-1,-1,607865,-1,-1,-1,-1,-1,-1,-1,551320,-1,546485,-1,-1,593190,583417,941117,-1,147987,851588,-1,-1,-1,-1,550713,-1,-1,725873,73902,380863,531512,532746,-1,72047,305812,78021,-1,-1,-1,343791,283637,-1,-1,709658,388072,47819,-1,-1,222771,379511,460477,-1,39692,-1,666631,-1,-1,-1,197682,113511,-1,863927,-1,-1,263801,-1,703766,-1,-1,-1,-1,-1,682165,-1,-1,-1,-1,-1,566776,593656,-1,376906,-1,-1,335035,-1,-1,-1,861398,-1,328716,296729,-1,669802,616549,356195,-1,786054,-1,985921,274459,-1,-1,622860,33465,-1,-1,-1,-1,933045,534024,-1,-1,-1,277921,-1,-1,721447,373105,-1,772837,790062,779337,-1,-1,936894,350360,960885,-1,333995,-1,-1,278043,-1,-1,-1,-1,-1,-1,-1,13189,794036,295408,714427,-1,909602,-1,-1,-1,944742,-1,706179,119602,442060,895744,344180,-1,442139,-1,-1,609200,166250,-1,97246,-1,248242,152939,685701,-1,666155,-1,396644,369107,-1,949134,622295,507985,803212,-1,-1,794839,-1,-1,438860,266847,-1,-1,166106,-1,287729,-1,739993,459090,36849,-1,-1,983268,264899,957064,43965,-1,97062,927150,607060,-1,-1,857603,663997,967788,-1,424423,-1,91525,-1,911909,998356,321067,775124,577786,317880,-1,-1,-1,-1,-1,303767,538873,467050,-1,341700,-1,2939,-1,-1,614319,-1,383895,533259,-1,169813,667468,299543,304678,-1,-1,186186,-1,417015,879685,283270,675943,-1,779669,-1,-1,-1,-1,-1,-1,81008,-1,741665,699844,477939,529473,-1,737753,-1,-1,145569,-1,931851,286085,797688,925794,-1,671254,458600,-1,483422,154726,617820,-1,741485,665508,-1,-1,760232,285669,626590,888527,962193,-1,546356,-1,-1,-1,-1,-1,-1,-1,-1,-1,861102,-1,80181,69956,158802,687730,-1,-1,654779,123435,866782,296796,-1,-1,-1,-1,-1,-1,-1,935696,80381,955579,537728,-1,232794,740116,865018,615587,131390,862983,429187,484866,355894,-1,638316,612552,-1,854533,-1,-1,593153,-1,-1,-1,452003,799481,-1,920551,708857,-1,913689,290993,-1,-1,407544,-1,-1,-1,-1,-1,788938,42344,-1,-1,-1,119661,742328,-1,-1,190754,504513,440373,155997,281671,356472,531671,-1,656167,327154,-1,-1,-1,743129,-1,-1,-1,52740,-1,748049,-1,-1,-1,225371,-1,-1,41811,109406,377832,190616,268856,108021,-1,916867,-1,309206,-1,186811,767091,762737,999311,-1,447753,490273,-1,711602,565503,-1,693404,373205,-1,307470,-1,-1,-1,100285,320895,917876,-1,-1,793228,-1,-1,718132,984653,413571,-1,683145,-1,-1,630003,-1,755718,-1,123627,570256,501985,822302,557192,-1,616872,698747,7757,942741,69756,730768,-1,-1,326033,589899,-1,761167,43113,808363,566562,-1,92182,524601,104044,703767,191893,297140,-1,298597,260001,279078,769512,475066,-1,-1,-1,-1,529040,-1,306862,-1,-1,-1,-1,-1,-1,-1,117424,159251,661827,968074,-1,622759,-1,508004,43992,753006,-1,168245,-1,219591,-1,-1,-1,946238,-1,-1,697410,372999,-1,806500,528437,408855,70699,938532,816661,843609,258175,293589,256388,4284,573323,149530,549829,-1,951869,-1,-1,-1,-1,524593,-1,-1,-1,-1,686293,-1,154759,-1,154380,-1,-1,613214,-1,-1,462903,-1,388141,-1,-1,-1,146888,-1,708121,-1,819707,-1,-1,-1,719670,611195,43889,322546,470481,-1,62340,452799,-1,407405,495984,-1,328112,-1,-1,-1,593837,823575,-1,-1,484207,418892,-1,516008,39149,253938,-1,975886,-1,-1,524030,-1,347747,133515,509334,-1,-1,-1,147896,249845,215454,-1,142109,-1,814381,48580,277617,-1,-1,833939,634542,197096,763218,71433,50167,376836,82398,479645,625517,814322,700649,-1,337255,-1,541818,-1,650883,268618,495933,-1,-1,689436,797476,536028,-1,551616,-1,-1,805518,-1,909336,-1,342794,311997,-1,-1,-1,652050,420103,30995,-1,168234,-1,-1,457525,-1,12930,-1,194300,975664,-1,-1,-1,456974,489173,955193,126584,397712,-1,390687,-1,-1,-1,-1,-1,985752,-1,263414,-1,482384,602547,129223,893191,-1,908964,527064,-1,-1,8852,-1,295134,868134,-1,102571,-1,879946,160220,803861,69945,-1,170220,76746,-1,708481,867073,-1,575287,-1,-1,657469,675807,-1,-1,978736,-1,242598,-1,387964,-1,731825,-1,308747,-1,-1,-1,-1,-1,-1,564127,-1,397973,850546,-1,-1,180423,60173,627708,791642,-1,-1,-1,-1,-1,-1,32396,-1,-1,-1,-1,-1,-1,-1,987531,217941,-1,-1,-1,-1,73833,429696,-1,-1,143625,139199,-1,15831,943238,-1,-1,498823,-1,755425,-1,-1,169683,505406,-1,77555,595947,98913,516048,-1,-1,724529,-1,-1,-1,266581,-1,116110,881383,951776,-1,-1,-1,-1,209956,616400,-1,-1,553061,-1,-1,-1,18054,-1,793926,398329,22846,354261,-1,-1,-1,-1,11436,-1,616960,957258,-1,-1,-1,-1,-1,-1,409746,634778,156255,-1,591473,825722,311971,589919,-1,665488,185733,-1,541397,-1,-1,96022,957905,189340,246500,324568,-1,471249,688200,305656,-1,-1,-1,492851,-1,-1,238085,926212,-1,480868,495067,833108,-1,486503,-1,909664,313087,-1,-1,930379,364576,715003,864396,68355,356131,-1,615597,867622,393285,341384,277585,977524,921268,57852,717251,-1,-1,582688,573600,-1,-1,539629,656193,657463,-1,170754,545180,729617,-1,-1,-1,-1,-1,-1,680152,807219,862571,-1,-1,-1,151266,-1,-1,-1,-1,-1,-1,-1,758364,-1,844788,-1,462515,-1,512085,-1,-1,-1,-1,284862,-1,144739,434092,94730,859092,545598,356943,-1,-1,314794,-1,400408,-1,83595,527324,-1,-1,-1,627276,443799,-1,-1,-1,107446,526197,614545,871450,432601,-1,966619,490036,-1,-1,931375,779768,-1,848871,-1,334442,-1,324709,-1,776039,135026,-1,-1,-1,-1,42030,160685,943466,-1,462489,805304,-1,-1,-1,-1,139863,727745,492591,59525,-1,396192,209176,98444,-1,188385,-1,237277,-1,647039,102154,368307,-1,-1,-1,-1,-1,-1,-1,199888,-1,-1,585325,517136,686520,-1,-1,-1,11250,979963,-1,138135,426087,94363,274387,-1,730340,38938,-1,-1,645866,811193,-1,3709,938777,809164,-1,-1,-1,-1,796817,964850,-1,-1,-1,-1,788705,-1,124968,449580,-1,-1,-1,574124,938973,-1,625595,-1,-1,27882,-1,-1,-1,-1,687611,-1,385349,-1,729717,543394,862290,698987,667024,55774,-1,-1,-1,299710,749691,730886,-1,377047,-1,870149,154663,180518,239079,357869,82190,-1,-1,855440,-1,-1,-1,732030,-1,-1,-1,780888,286119,-1,248409,-1,697212,-1,445856,-1,-1,505338,-1,-1,761934,-1,860117,760984,904023,-1,-1,852573,-1,88425,-1,797013,228136,35288,949491,-1,-1,209305,294805,768833,-1,-1,-1,-1,-1,94633,998366,81113,349230,-1,268554,624325,360798,-1,-1,-1,-1,375067,-1,415168,-1,509345,892667,-1,329507,-1,488739,344259,315513,830203,552761,-1,18529,-1,900388,249596,-1,-1,-1,-1,306810,-1,-1,-1,-1,574040,555070,-1,370106,86292,44885,-1,-1,241756,-1,834386,516105,-1,549123,757370,-1,-1,648831,228491,-1,-1,-1,-1,-1,-1,4534,-1,911441,291873,833370,-1,-1,764741,539806,268961,294127,727251,47953,318496,-1,-1,775894,-1,352909,66013,-1,-1,-1,468596,84793,-1,971735,-1,-1,-1,232681,-1,694846,-1,950400,732414,-1,-1,838215,-1,-1,923029,-1,2631,579905,460637,-1,221411,25092,-1,739421,297984,152285,698395,15042,55464,-1,-1,-1,-1,914595,29995,-1,-1,783677,554420,266910,-1,958881,311731,262024,162528,-1,-1,805069,18878,327801,-1,-1,53203,927760,-1,26393,-1,830179,-1,487294,957971,-1,-1,552373,329703,-1,-1,-1,-1,-1,-1,392497,495396,-1,203568,-1,-1,-1,419589,-1,-1,351575,-1,673435,292615,-1,535550,106860,54936,-1,-1,310113,816906,-1,521769,233928,28525,-1,-1,-1,-1,707150,-1,-1,277583,-1,-1,319608,547096,-1,-1,-1,-1,-1,69337,550276,-1,-1,-1,-1,765697,-1,-1,-1,-1,145218,152027,141194,155701,478451,432167,797543,448997,765381,262760,-1,818425,-1,286177,961482,955834,410888,631849,461079,-1,4575,144451,557798,-1,50305,696552,617165,177573,-1,998448,-1,-1,960894,-1,800797,-1,549523,871888,-1,-1,-1,-1,-1,169455,226512,641497,-1,574486,261794,751123,208232,-1,299829,-1,-1,-1,-1,676772,980409,845294,-1,-1,32305,575213,-1,-1,65587,917805,25497,671073,-1,-1,-1,404936,967670,987374,-1,438812,-1,530141,-1,-1,-1,921572,991855,-1,742707,-1,-1,275837,-1,861837,-1,-1,916705,592168,-1,-1,-1,560021,-1,-1,586594,826521,-1,-1,944856,-1,-1,767812,353845,661831,-1,703682,-1,-1,767175,202798,68244,-1,129354,-1,849885,-1,644411,-1,-1,581026,-1,-1,-1,484482,204906,761235,-1,-1,-1,5432,-1,157528,651116,-1,-1,833333,988820,-1,978896,40233,-1,-1,475587,-1,-1,364296,-1,-1,13341,775386,-1,-1,-1,374131,-1,257488,-1,842956,-1,-1,75876,-1,608655,664165,242366,-1,-1,322896,-1,-1,724918,-1,-1,-1,-1,583619,215835,714534,-1,322120,-1,-1,-1,-1,611774,348257,709617,972596,274583,-1,-1,-1,-1,-1,39663,-1,770144,-1,990793,629069,-1,971200,-1,619197,221383,238427,729281,898581,-1,606460,710587,-1,95335,-1,-1,-1,470783,-1,-1,14576,-1,536572,-1,517228,905500,899114,-1,-1,-1,169500,910633,-1,-1,761309,-1,-1,-1,672508,-1,640804,-1,489074,530276,-1,-1,49472,-1,23437,956563,-1,382940,161081,954282,-1,-1,-1,-1,-1,445616,826539,-1,-1,132674,14922,95670,303164,-1,535408,270704,944523,142811,860085,-1,595131,844250,470480,-1,255218,434823,-1,-1,-1,335942,-1,576461,195333,963937,-1,410003,-1,419668,-1,554887,-1,-1,970214,-1,836954,-1,705419,-1,-1,-1,119478,-1,-1,-1,598592,297744,448589,-1,717795,-1,-1,-1,-1,-1,335836,190726,756539,-1,-1,-1,303607,420296,-1,579779,839596,485202,403191,-1,-1,69794,-1,588059,-1,-1,551746,-1,581546,-1,-1,630325,828595,-1,586626,635669,688899,961255,143879,574280,-1,171771,-1,-1,887698,148140,-1,470426,-1,-1,-1,-1,964201,-1,-1,-1,89466,-1,943625,-1,-1,-1,374190,942304,793131,846076,69751,708598,820585,-1,87591,-1,-1,-1,162384,-1,-1,-1,939604,-1,940222,281338,985090,-1,-1,-1,710319,940221,-1,-1,-1,321367,266481,166354,-1,455066,-1,-1,-1,-1,483711,472320,331593,-1,-1,-1,127088,1629,-1,-1,-1,-1,-1,972286,-1,479873,-1,733329,668550,-1,994605,502596,-1,433919,-1,-1,-1,716265,629455,793564,553628,-1,-1,-1,-1,436496,-1,988322,76758,-1,-1,-1,643373,-1,-1,547650,824705,-1,426435,-1,893384,339311,315237,601301,-1,-1,767631,703906,-1,-1,611916,-1,-1,-1,376878,-1,461400,-1,886245,798633,-1,997763,-1,609634,-1,-1,509668,-1,583583,328794,-1,179653,-1,392805,-1,974243,-1,-1,-1,-1,-1,43086,-1,117608,-1,-1,-1,-1,584955,939386,934147,-1,876443,-1,65278,499436,-1,242422,787760,3359,-1,-1,-1,-1,-1,-1,783317,-1,571272,-1,-1,693405,-1,-1,-1,118866,-1,-1,145876,907560,809684,562937,90373,2759,-1,-1,703606,-1,541185,-1,-1,760660,-1,444302,972705,-1,201791,290059,-1,-1,-1,-1,-1,45729,551812,-1,638235,413973,-1,-1,640669,20698,369707,-1,516790,352093,-1,967369,-1,-1,673116,-1,-1,214478,10233,141659,-1,-1,-1,692700,412759,-1,940085,845518,307296,791678,671665,-1,-1,400150,999084,-1,-1,-1,244037,809885,-1,-1,415170,-1,-1,-1,-1,-1,-1,27184,316456,-1,-1,-1,-1,-1,-1,885800,655251,-1,-1,-1,587044,290289,27891,717122,-1,-1,831389,701080,-1,-1,402360,-1,274662,246873,-1,609139,-1,-1,-1,420670,-1,14690,-1,-1,606636,816294,-1,702899,554365,-1,-1,-1,-1,-1,-1,351282,744687,-1,320996,-1,345023,-1,-1,-1,126759,816590,794364,79538,105795,117263,-1,190095,683373,-1,-1,491869,945577,-1,557651,223510,-1,-1,-1,-1,370692,-1,-1,422528,484274,-1,837471,-1,-1,-1,-1,945938,-1,-1,406737,-1,167101,925168,874801,269630,534015,906074,-1,191118,-1,964589,-1,-1,558716,-1,895247,-1,73151,-1,-1,985351,757888,-1,-1,592205,100072,309476,-1,-1,-1,222285,-1,-1,755279,876274,577818,76985,767173,-1,-1,326656,991752,835608,465822,-1,170355,594318,-1,875547,970939,-1,-1,573008,-1,652960,104860,752057,-1,-1,-1,-1,-1,709958,635187,-1,-1,-1,-1,-1,651983,547,446057,73578,694655,266058,544600,-1,708694,-1,455124,-1,476374,-1,779560,29228,839879,-1,30146,539963,-1,874028,-1,940336,-1,234333,-1,63853,-1,-1,508981,-1,-1,-1,494163,204654,671673,-1,-1,868398,494191,107369,941581,-1,114527,-1,293420,600195,57961,-1,708187,-1,822183,743707,-1,266120,810504,-1,731501,-1,-1,173434,964005,562325,345358,-1,-1,305527,-1,634882,-1,578029,107747,93866,417351,383751,959831,571036,486402,-1,-1,512848,-1,-1,374569,770535,339633,61018,-1,-1,723739,120181,-1,218640,53783,478967,851673,886747,154640,-1,-1,637799,-1,-1,681626,-1,-1,328095,-1,646666,-1,-1,442573,-1,-1,-1,-1,31795,-1,474377,976853,-1,546894,931112,-1,-1,280559,293598,573587,-1,-1,262400,14870,866527,343228,-1,185058,323321,-1,265991,-1,437026,746837,102683,-1,-1,-1,75223,45903,-1,-1,977228,227110,447613,306635,119793,369649,194795,425391,722292,174025,989019,956745,75969,335639,-1,-1,568399,-1,597019,-1,453026,873243,-1,-1,-1,789898,-1,502519,-1,950980,-1,736135,-1,551958,-1,936479,597923,-1,-1,817611,-1,-1,61987,107018,-1,-1,853439,-1,306388,990421,454206,-1,473512,240564,907292,454626,420732,284850,863406,-1,967404,-1,925228,517891,909248,-1,-1,190123,-1,-1,-1,-1,957411,161039,-1,-1,-1,-1,832480,-1,-1,718980,444621,-1,-1,111087,-1,-1,664629,-1,-1,182647,-1,-1,896695,828543,96913,714765,-1,198732,-1,934442,982897,-1,-1,-1,486990,382326,-1,-1,-1,859211,-1,-1,814335,901697,-1,70563,4652,-1,965319,328988,83265,-1,636173,-1,-1,-1,139967,477195,-1,434604,565644,88764,860254,-1,-1,-1,-1,321342,-1,-1,-1,-1,-1,521421,368585,-1,598137,-1,829659,-1,-1,298433,91372,-1,-1,-1,-1,624079,881773,294778,392182,362586,656552,823961,54567,176864,-1,-1,-1,-1,161578,302359,855975,586531,90089,210789,-1,-1,903803,-1,-1,451599,916561,334928,-1,-1,-1,105874,-1,-1,877358,306875,826846,-1,-1,630044,-1,390724,-1,-1,962859,58837,847768,781584,333019,865355,-1,-1,40031,239474,-1,15555,-1,-1,-1,-1,978572,-1,-1,-1,-1,565718,-1,-1,-1,-1,-1,543049,-1,643065,565121,-1,-1,13779,45960,-1,-1,-1,354186,806752,945145,-1,-1,261596,-1,631734,-1,296663,-1,-1,289607,-1,-1,-1,-1,-1,216529,-1,449965,437401,-1,-1,-1,777223,723709,-1,588555,77618,-1,-1,-1,869286,3799,266393,880960,-1,415119,218103,-1,-1,135491,-1,149634,-1,-1,-1,30434,-1,-1,-1,-1,939090,-1,-1,-1,-1,229761,297486,878576,19800,-1,525146,-1,332233,405864,-1,42785,-1,236075,432152,228686,-1,127570,-1,-1,-1,705191,560289,-1,-1,-1,-1,-1,-1,-1,565878,947971,860199,739128,463637,86551,327492,-1,794679,-1,-1,751711,-1,-1,632889,-1,-1,608087,-1,453909,-1,440680,-1,418026,-1,-1,550637,818321,836979,310557,-1,974472,-1,-1,721684,-1,-1,561934,615913,185223,433743,-1,-1,-1,371012,-1,909281,690947,578884,601942,-1,-1,-1,-1,938015,411679,205853,-1,159492,71646,-1,-1,460840,-1,629575,-1,245236,-1,-1,-1,-1,-1,801041,229409,998185,-1,362323,-1,-1,50656,700319,63321,-1,-1,192200,808517,-1,229494,584160,946501,-1,-1,109176,579481,40702,423012,33467,-1,-1,-1,3841,945737,-1,-1,529326,562854,521794,86896,610023,795551,208681,364795,441049,-1,-1,270827,-1,-1,81285,-1,661239,855652,-1,706650,-1,-1,280308,329025,-1,-1,-1,-1,-1,-1,527962,727763,381691,-1,276419,-1,-1,-1,805612,286690,311727,972089,-1,-1,-1,968360,658963,988645,931521,-1,878819,727051,436380,338286,938108,809664,-1,-1,824114,701155,776729,589783,108755,-1,491404,552240,-1,-1,-1,-1,-1,-1,466773,958273,-1,984968,682487,589831,-1,-1,-1,-1,-1,110474,444714,706136,404526,217024,497606,-1,683474,-1,-1,612763,-1,-1,326390,-1,145221,-1,628695,-1,332713,32854,33602,395320,928344,-1,744970,199544,694887,-1,928076,-1,-1,984981,-1,-1,85630,678183,425258,785455,-1,269529,711971,610739,-1,841938,-1,923817,-1,452094,180805,341005,-1,-1,61537,819633,339346,-1,-1,999095,-1,-1,514297,619839,-1,-1,-1,186300,-1,147574,-1,649740,103810,-1,10935,-1,346136,853914,-1,663924,-1,-1,706089,-1,459765,-1,-1,-1,285768,905184,-1,503139,17318,-1,-1,-1,-1,-1,-1,-1,398179,-1,417448,-1,-1,-1,831347,305290,895100,687270,-1,33625,-1,-1,648450,-1,151251,765704,811841,-1,-1,-1,666578,587927,368065,49200,496526,-1,-1,916688,407492,108527,866231,320913,-1,988248,718866,-1,-1,-1,216158,797692,797620,119136,961050,952672,83386,198069,-1,407897,-1,-1,-1,92609,-1,-1,-1,-1,417345,677541,89863,965663,-1,674547,60126,644881,395637,897519,676560,309238,-1,-1,-1,-1,-1,866961,34167,-1,-1,-1,483039,183941,-1,-1,-1,-1,-1,369990,933039,-1,-1,367659,595161,931716,750306,378373,-1,182083,301317,-1,-1,-1,169780,-1,-1,-1,-1,-1,944630,747134,921080,152470,137629,162745,-1,-1,466400,885312,-1,37096,-1,-1,194531,170119,526697,-1,-1,383133,52037,383096,-1,760016,20882,260853,-1,555800,378074,-1,335536,197927,418459,816669,899918,279747,-1,476865,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,489953,180314,-1,419375,211546,-1,-1,818261,-1,786035,190591,-1,403341,-1,-1,-1,-1,92160,137341,-1,785837,391580,-1,-1,-1,312292,166743,-1,-1,519614,82426,-1,-1,397042,-1,-1,-1,420464,161486,669165,671833,998328,670959,-1,893071,-1,-1,-1,-1,584341,378019,-1,944639,265639,454185,86591,387029,888382,743813,-1,989673,920103,644196,838442,-1,-1,329042,-1,-1,956254,-1,444706,-1,-1,280100,-1,556554,338192,681440,613791,-1,705665,-1,-1,-1,-1,849459,-1,-1,-1,146935,813724,891766,-1,906608,-1,-1,-1,-1,441299,-1,-1,59469,809506,59906,-1,-1,879910,-1,-1,-1,-1,651249,-1,-1,871721,-1,-1,-1,-1,372327,598820,986514,-1,437833,-1,839989,909812,695005,-1,527262,392746,-1,-1,177652,-1,-1,726026,276129,620077,934455,-1,-1,270344,551412,690531,508405,-1,-1,-1,9568,287519,401553,-1,18134,-1,549429,-1,400836,-1,77339,-1,-1,801575,50549,766087,46091,141527,928266,-1,-1,-1,497515,417085,704885,-1,-1,-1,-1,-1,-1,147892,828409,90744,-1,925295,185280,291183,-1,-1,375010,-1,162665,411277,807961,-1,241590,-1,-1,-1,-1,-1,271439,-1,107832,395599,966488,792413,713100,360036,204988,-1,419311,565913,487388,-1,-1,223328,-1,-1,648217,504158,21456,-1,172703,105953,-1,55471,-1,-1,-1,864273,296748,-1,402554,188805,-1,-1,454646,-1,68400,12273,-1,-1,-1,-1,-1,562655,-1,603913,-1,515569,966322,-1,830705,578635,592042,603004,-1,-1,565245,-1,-1,-1,442173,733790,970291,328310,589094,-1,-1,360033,913695,-1,631319,487845,-1,817542,121516,505314,209823,798629,-1,780441,-1,-1,-1,-1,-1,-1,975633,994491,-1,-1,44684,164476,76750,365843,437287,-1,587380,-1,-1,-1,-1,-1,25610,-1,-1,-1,228266,868122,-1,776960,82147,-1,678,126288,459692,-1,-1,655655,755284,-1,839702,-1,-1,-1,588066,740098,-1,42011,-1,-1,-1,-1,920715,537584,-1,-1,-1,-1,-1,-1,-1,-1,408154,-1,-1,-1,-1,592287,58039,177173,574757,-1,-1,-1,474960,-1,495464,340337,-1,-1,428891,-1,-1,-1,-1,926307,-1,-1,-1,-1,297943,-1,886295,-1,625976,-1,-1,833022,-1,-1,330501,-1,-1,-1,185877,-1,989922,73119,538963,-1,968692,965904,406701,6254,120998,-1,-1,990187,-1,571239,-1,-1,292686,185244,-1,-1,-1,-1,-1,322406,-1,486509,-1,38247,916262,-1,511288,-1,326938,-1,396256,622083,370202,-1,438121,762380,686365,365608,-1,-1,-1,-1,-1,544242,968283,522541,416733,360847,-1,731218,-1,440745,-1,-1,825700,533580,913885,702140,535050,619024,-1,-1,-1,-1,-1,-1,593116,-1,689096,173633,-1,753633,905077,-1,950151,138758,361312,-1,-1,587148,550552,-1,-1,984919,-1,738275,-1,937327,817198,757861,-1,512973,254018,475423,931896,-1,830995,-1,-1,352438,14786,-1,-1,452584,-1,-1,692500,775125,-1,325670,37605,-1,-1,635069,11410,-1,-1,-1,-1,-1,-1,-1,826254,260667,147027,-1,589840,544378,-1,319161,690718,725994,-1,-1,718077,531457,-1,990639,-1,-1,495378,-1,131002,-1,-1,350557,-1,461729,33320,-1,-1,526771,418560,588413,947139,272437,343159,-1,-1,-1,31927,576546,257369,-1,766254,860640,-1,130677,-1,-1,504567,18071,-1,720602,-1,-1,594226,-1,-1,103488,211618,417668,-1,61215,287834,815892,365555,-1,-1,-1,869510,368882,-1,-1,-1,572364,-1,230697,166815,110826,142645,-1,-1,288646,948493,261098,-1,-1,200152,-1,136820,483104,950581,204760,469411,-1,-1,716763,-1,-1,-1,56244,825305,-1,-1,506454,916355,415625,-1,-1,-1,362617,732717,-1,225935,-1,-1,336859,-1,210179,-1,-1,-1,-1,-1,-1,241390,-1,-1,912842,-1,-1,849988,342558,-1,-1,658665,13622,940241,-1,-1,812834,309942,-1,102479,988519,948691,707083,239047,357935,-1,824195,30880,550392,-1,-1,181535,-1,524184,39010,-1,-1,271470,-1,-1,-1,259372,-1,-1,785942,16501,-1,-1,983336,-1,331964,-1,-1,-1,881148,66273,488366,-1,-1,808189,49819,661939,-1,406850,-1,805524,-1,-1,413671,-1,124707,-1,14660,680634,875990,-1,516914,90614,-1,951348,-1,566908,-1,-1,895395,7494,-1,838222,479698,-1,700405,-1,-1,112309,-1,897141,180799,690540,-1,-1,-1,381232,-1,118759,517164,-1,158360,-1,970369,-1,-1,333226,386512,-1,-1,-1,302100,479281,820692,615708,67715,-1,-1,688312,686369,720983,514023,-1,645146,398349,-1,903008,955816,-1,-1,-1,-1,633487,532673,-1,22967,-1,632246,24690,802782,-1,-1,924657,683467,-1,805604,338235,-1,119521,-1,322807,-1,-1,663091,-1,-1,738326,-1,220227,-1,-1,545283,851545,190047,751494,247963,-1,-1,642446,797782,-1,-1,-1,660106,-1,831970,588856,-1,-1,-1,-1,810751,-1,-1,996041,-1,79506,7920,-1,-1,715365,-1,-1,-1,797356,29215,-1,-1,-1,-1,628708,-1,-1,938904,-1,-1,2308,-1,730934,-1,-1,949465,884212,-1,-1,661341,573213,-1,-1,-1,-1,9479,-1,-1,-1,460987,281628,722139,-1,-1,980373,680968,735100,-1,113983,595572,-1,735434,321050,697565,-1,767120,922068,203129,906928,-1,458121,37348,802065,234202,-1,-1,-1,-1,-1,-1,843030,441341,-1,-1,-1,297513,977404,711204,398888,-1,332681,-1,-1,-1,858959,-1,-1,-1,-1,-1,717101,-1,608910,368754,101876,-1,-1,251584,-1,-1,264982,155761,-1,-1,513928,-1,-1,987506,-1,792114,852373,372003,-1,28652,-1,-1,995002,-1,-1,-1,162863,418127,779030,-1,-1,104368,-1,183382,553376,598782,257291,-1,-1,-1,-1,972741,-1,943686,562722,-1,-1,-1,-1,670942,-1,-1,-1,737856,-1,454333,166612,-1,416252,-1,-1,568289,574691,393539,982036,357021,801039,-1,-1,30446,824746,-1,861476,682777,881310,-1,394772,-1,220740,-1,-1,331194,351471,111415,-1,896947,22775,-1,41643,-1,549001,457659,-1,678106,693175,-1,28925,-1,300572,313130,-1,82703,922919,-1,-1,-1,794303,-1,-1,877371,-1,-1,641151,-1,-1,-1,-1,464167,990997,369338,866478,-1,-1,622412,132034,-1,783582,-1,440627,273542,-1,931044,-1,991241,-1,-1,-1,300795,663088,164388,272109,-1,333549,-1,95925,-1,238605,-1,507919,148537,895259,-1,-1,-1,172382,-1,264920,-1,-1,-1,495978,727425,896247,270693,-1,493737,594716,-1,836288,791781,-1,227386,927386,51590,-1,14394,544772,941864,-1,-1,-1,-1,-1,-1,-1,-1,-1,146478,-1,956255,222660,-1,128039,-1,612614,344584,118682,-1,440807,741351,700560,12592,-1,-1,-1,486996,877907,-1,20988,-1,-1,-1,-1,390078,-1,595753,-1,-1,341112,873145,-1,779868,-1,776094,369767,-1,316528,675194,688673,-1,643212,-1,975900,-1,904002,-1,908567,-1,-1,108183,673652,-1,347866,-1,-1,888139,-1,-1,-1,52294,-1,506894,865160,676346,-1,-1,365790,-1,335127,343292,134852,312664,551834,385192,-1,184577,-1,621710,-1,427380,-1,470021,99993,-1,460567,-1,-1,-1,-1,-1,-1,-1,933063,-1,203152,276894,887765,-1,83559,-1,894969,-1,355710,315134,-1,476246,-1,-1,-1,-1,839926,411253,903626,2920,313640,93945,545641,-1,426206,29041,-1,-1,624112,602410,-1,-1,-1,-1,-1,-1,99295,803064,-1,486901,500693,-1,454684,-1,541188,-1,-1,648707,274650,-1,-1,306361,-1,-1,188637,-1,230025,-1,316769,162931,-1,-1,-1,-1,699141,-1,-1,258013,31786,-1,-1,-1,61044,798865,-1,-1,-1,36646,-1,-1,-1,-1,81946,803387,542997,-1,-1,-1,-1,-1,-1,-1,-1,635621,-1,-1,557410,242697,-1,686868,-1,-1,-1,-1,-1,611038,-1,102943,382753,-1,313077,-1,119806,732379,-1,814662,-1,-1,931412,-1,176508,-1,-1,-1,70499,341011,-1,101060,388564,-1,806198,-1,-1,-1,652266,-1,-1,106933,-1,158815,-1,-1,-1,-1,638881,161605,445685,-1,-1,883032,101189,327892,-1,726431,21385,-1,-1,520809,360908,-1,613787,242716,-1,311082,-1,397012,-1,-1,864254,104329,482751,-1,-1,-1,-1,929912,-1,205421,209375,679737,-1,743561,474520,124205,781329,331493,-1,-1,634424,407572,-1,-1,-1,193215,-1,-1,-1,-1,11471,-1,730388,68458,-1,84399,986166,423119,583991,-1,-1,-1,585960,454276,-1,307057,766841,897769,-1,-1,-1,-1,-1,61629,-1,-1,64698,-1,-1,531989,-1,933804,234107,442607,-1,317986,810842,-1,367447,795145,798556,-1,996723,268114,971410,-1,971451,-1,770456,-1,747271,-1,467487,111121,559848,-1,746015,-1,-1,-1,69008,-1,-1,612907,576437,696765,-1,-1,508600,17407,857026,-1,355875,743653,-1,40559,-1,30680,-1,-1,426337,-1,159954,763341,387461,-1,-1,875314,157739,439708,-1,-1,598900,965353,-1,530535,-1,-1,333768,-1,650641,-1,169790,75253,-1,-1,696504,-1,758845,314720,-1,575862,167213,808079,-1,-1,932118,241505,770564,536556,658102,-1,-1,118663,803277,-1,665677,-1,865461,660613,921713,50716,403153,-1,-1,-1,-1,-1,207872,-1,697093,-1,879705,-1,-1,784720,99378,440920,438002,-1,-1,-1,769466,-1,-1,-1,149896,900313,-1,237158,624076,-1,114109,315312,941104,-1,40893,164236,614505,15075,-1,-1,-1,478000,-1,-1,-1,-1,97716,-1,305772,-1,885327,-1,483421,357398,-1,-1,519174,761281,170978,691638,-1,765815,292237,-1,846868,-1,-1,158880,740989,-1,477156,89906,-1,-1,-1,-1,-1,-1,891188,478291,605063,-1,92894,-1,322645,-1,748567,-1,981427,-1,-1,240168,-1,-1,542621,-1,-1,-1,7623,451043,701512,-1,-1,-1,158882,-1,-1,-1,-1,-1,-1,921931,560727,941929,-1,334977,508813,-1,584038,807691,248544,-1,211258,-1,503867,-1,796325,754129,-1,-1,1520,-1,-1,667652,-1,667007,433229,776085,-1,-1,194337,68093,-1,-1,22423,818422,195826,-1,907238,-1,-1,-1,114524,563672,-1,-1,564170,-1,508145,-1,469684,649566,-1,-1,-1,515008,646562,292333,948928,502133,-1,446150,799714,981222,-1,-1,-1,-1,-1,649856,364191,-1,673221,-1,902160,-1,-1,315105,483287,724123,670189,202857,523093,-1,-1,-1,582250,-1,894080,563219,-1,-1,30650,376142,496421,696043,987911,346069,334347,-1,-1,-1,-1,812127,404454,-1,-1,396419,148818,-1,-1,-1,923001,187477,407332,-1,160037,960356,-1,419568,689613,123372,-1,-1,-1,300427,433182,-1,749611,-1,-1,-1,203944,910211,-1,210843,244337,-1,33578,351497,-1,-1,-1,321288,-1,-1,247365,873339,-1,653192,-1,798225,-1,634751,123513,617393,495894,14266,683414,865808,-1,449756,116681,-1,835206,177637,467570,967092,29512,502579,-1,245590,-1,-1,-1,-1,508897,233520,-1,967898,790757,761968,-1,932244,573740,-1,444460,-1,583307,-1,-1,-1,77528,25868,722172,607539,107629,-1,928141,154147,937224,66652,356525,-1,-1,859885,189120,-1,-1,114566,-1,745739,-1,-1,-1,-1,685368,240469,956824,916887,277318,-1,-1,-1,658620,-1,-1,-1,741706,263888,-1,644035,150106,-1,-1,197732,881998,192615,-1,302218,461647,360276,-1,-1,-1,491897,-1,405488,587687,381272,281107,-1,-1,-1,758808,-1,159858,905414,-1,819678,865405,433757,297533,-1,308252,992250,76804,863749,832676,350711,954542,628845,376214,360034,559164,-1,-1,-1,-1,-1,-1,-1,688873,638807,-1,772040,689097,851316,1597,309908,-1,602717,-1,770254,-1,826992,-1,626282,981420,985524,-1,-1,630112,-1,147099,68174,-1,-1,-1,540432,857264,-1,-1,502954,-1,-1,253686,-1,489998,-1,-1,656063,-1,640592,-1,630463,739283,805080,-1,213017,-1,-1,884051,-1,-1,-1,560356,-1,464144,-1,809036,-1,181406,361534,-1,-1,416579,711990,-1,-1,-1,377152,-1,361595,197109,164673,-1,554921,886247,-1,59094,184280,-1,624960,-1,-1,-1,-1,565797,801156,864403,410571,-1,947695,-1,420050,-1,24969,79469,205988,-1,-1,461162,-1,-1,667028,-1,857191,50584,965940,-1,-1,319703,-1,146758,343116,-1,688149,730493,839912,188871,53946,-1,-1,842151,82103,68336,-1,-1,-1,690023,-1,979822,488534,-1,98835,-1,-1,-1,38671,-1,114032,-1,531720,-1,-1,-1,266275,890571,-1,132642,-1,380032,-1,-1,-1,199140,450739,-1,971427,49079,-1,713152,-1,-1,506152,694239,911976,954848,427798,-1,479954,680838,132209,27858,457772,700392,-1,-1,94133,732327,-1,341383,90828,-1,-1,937214,898693,-1,176434,484707,-1,-1,300493,-1,-1,-1,-1,-1,128471,-1,684125,396675,376929,-1,-1,86330,499524,-1,-1,938047,207308,-1,-1,-1,458806,-1,239196,838063,683811,562802,49008,-1,-1,9607,-1,-1,64626,380856,515992,-1,573716,-1,260356,108514,212206,836599,-1,-1,241997,802266,124662,-1,-1,-1,-1,429538,-1,-1,242861,-1,-1,-1,-1,-1,-1,-1,-1,397748,749508,771906,438987,384832,-1,-1,-1,-1,-1,936136,-1,535601,-1,841647,-1,-1,-1,306119,-1,586121,10848,-1,-1,422532,367622,-1,-1,47681,-1,656103,157392,305052,133250,835006,-1,-1,-1,-1,-1,-1,349938,-1,-1,-1,614748,-1,-1,87587,-1,195425,535321,-1,-1,256697,-1,590882,54077,203972,-1,983891,479321,995402,-1,395275,321194,143919,339953,879257,-1,-1,553443,392060,823809,-1,414868,948196,-1,-1,515872,-1,-1,-1,-1,206001,-1,-1,-1,-1,-1,-1,806761,-1,-1,841194,-1,-1,-1,412789,-1,816194,932580,-1,-1,575762,478984,-1,-1,816169,-1,-1,-1,871930,656827,850588,-1,-1,-1,-1,-1,441755,-1,-1,-1,-1,128447,618373,562190,-1,387172,-1,-1,948386,150175,660498,743784,-1,137149,-1,781224,857621,-1,435797,961236,-1,129720,72235,-1,264491,-1,990446,-1,332567,-1,-1,-1,-1,822457,-1,-1,-1,-1,23969,681130,819588,-1,855112,75163,959713,-1,403470,985177,164397,-1,-1,-1,783329,265018,-1,936667,-1,762109,-1,-1,-1,-1,-1,-1,-1,-1,-1,817404,444626,24817,672457,793623,943593,604580,-1,-1,646428,313204,-1,329379,519039,-1,638660,-1,-1,171894,943477,541062,-1,773674,-1,140480,208849,395323,482913,445052,663087,-1,-1,286662,280706,564066,943864,-1,932364,-1,572664,-1,-1,974497,448234,-1,520918,-1,953541,-1,-1,451735,-1,-1,-1,997972,67288,699078,-1,-1,751297,113082,486778,492769,-1,-1,280894,-1,-1,211916,-1,-1,-1,-1,-1,-1,952429,856110,-1,-1,-1,475635,-1,-1,-1,186126,-1,818338,44805,239126,987090,892665,178201,-1,716163,458740,857832,570814,599457,298557,864081,676919,815552,-1,-1,842086,284081,891403,-1,316106,242439,-1,598134,-1,-1,178183,798264,-1,-1,433468,866947,-1,538405,-1,865397,891971,706302,-1,682077,-1,-1,-1,-1,688547,-1,-1,-1,-1,143407,525757,-1,61319,-1,-1,943235,-1,-1,-1,-1,493728,768819,-1,-1,401180,821155,834656,583190,-1,-1,-1,889164,-1,-1,-1,-1,681163,-1,66036,499734,-1,-1,773974,398137,620805,-1,-1,151748,64417,517480,102953,-1,-1,-1,-1,-1,243954,-1,502692,-1,-1,-1,751378,-1,217211,-1,440625,247813,999010,-1,-1,838591,-1,4003,794262,-1,-1,598882,-1,990507,691348,407695,299804,-1,656088,842478,-1,-1,485299,-1,395396,-1,822185,59956,403034,934624,-1,40335,-1,268734,-1,703283,133875,111558,-1,-1,-1,-1,-1,884719,-1,-1,881388,81706,-1,-1,645876,-1,995667,119878,-1,398923,-1,611962,-1,-1,424253,-1,-1,-1,-1,749629,-1,442670,-1,301339,-1,-1,-1,-1,-1,233818,-1,641804,687147,-1,381266,-1,784300,262121,544297,661013,-1,-1,-1,778351,811069,420776,50505,-1,976082,-1,-1,-1,-1,-1,-1,-1,-1,914795,664436,-1,616662,-1,225579,-1,-1,134253,769949,977617,-1,1442,249892,-1,-1,412395,992317,535185,-1,-1,-1,-1,384836,-1,-1,29955,-1,464270,-1,-1,230591,-1,834981,505234,-1,280855,372615,50509,-1,-1,255694,275782,588173,226550,702369,916374,185080,84079,519345,376624,89905,-1,-1,284773,-1,963208,-1,-1,820170,-1,794015,-1,-1,-1,-1,-1,615925,-1,-1,306067,-1,-1,650791,306073,547187,797527,448889,113865,-1,562755,-1,994492,-1,549787,-1,-1,-1,703392,-1,-1,53890,571714,-1,-1,172269,592713,97769,784284,-1,-1,-1,-1,-1,-1,324137,574836,626509,-1,-1,412840,-1,-1,-1,420369,-1,-1,444915,453835,-1,545912,729762,-1,788652,-1,470146,-1,751994,-1,397100,103887,214398,-1,105826,-1,781796,-1,-1,390686,514743,273215,416237,343054,-1,-1,-1,-1,377900,438984,943078,441188,-1,885224,101569,875172,-1,469815,258667,353009,-1,690920,-1,-1,-1,-1,-1,40534,577619,-1,814470,764092,979336,-1,14194,-1,-1,-1,-1,549945,-1,-1,894885,589434,-1,569526,-1,125340,658091,463382,64432,578715,212140,900111,-1,-1,-1,538412,107159,-1,246364,55069,-1,543981,-1,684860,401398,713811,457616,-1,119218,227924,-1,-1,-1,-1,-1,819249,-1,-1,-1,-1,-1,666138,-1,204092,573059,-1,967645,-1,-1,74608,-1,-1,-1,372912,62019,-1,-1,299953,65382,-1,674292,-1,-1,-1,-1,-1,-1,-1,-1,900702,391406,139097,754674,-1,604193,811352,626633,752213,-1,325899,-1,392278,-1,891988,-1,-1,466821,-1,802856,-1,880273,-1,-1,366113,-1,-1,-1,-1,441795,683352,465155,-1,788197,106827,427533,-1,550096,863967,554802,553466,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,777247,342107,175118,-1,-1,912554,-1,-1,546014,-1,-1,491424,-1,-1,462940,-1,875452,982065,48575,-1,-1,-1,-1,-1,838680,-1,104130,-1,586397,-1,-1,-1,587804,-1,-1,-1,-1,223955,-1,-1,630001,133334,157148,-1,81985,573475,123765,710962,325995,384568,-1,486385,31173,-1,-1,163448,-1,-1,898585,-1,565885,-1,812552,-1,598323,-1,534458,154007,-1,-1,240207,432297,-1,-1,510225,49442,841952,-1,402765,-1,-1,-1,-1,-1,-1,650591,-1,-1,-1,220619,-1,-1,-1,-1,493392,717171,888578,-1,525357,885171,586006,497594,893870,554651,437303,-1,704240,-1,-1,-1,-1,-1,284728,-1,832220,252124,238603,-1,873829,-1,523274,318718,-1,-1,51147,176015,-1,-1,-1,-1,317284,-1,233496,-1,-1,-1,854414,239639,-1,813069,-1,-1,-1,-1,-1,404868,954763,-1,-1,948091,-1,751634,94647,-1,-1,-1,802183,-1,-1,112778,313020,-1,569929,315483,220946,-1,778506,-1,-1,-1,690348,684039,325460,931815,-1,-1,872450,752372,704671,-1,133494,-1,-1,556525,57111,275588,585306,341989,-1,-1,209847,-1,905511,253996,-1,-1,-1,-1,-1,437201,-1,-1,-1,182448,-1,732601,-1,38594,46387,950282,-1,757807,349001,731454,-1,487292,-1,-1,869413,350647,-1,-1,30968,8670,159085,-1,-1,863998,231101,-1,-1,-1,724950,894620,896158,-1,848618,310432,-1,-1,757174,-1,-1,989160,237855,834011,538742,832606,-1,-1,868736,-1,-1,876537,20421,91109,67768,652423,846916,-1,299769,-1,538562,886159,-1,-1,-1,669544,48301,-1,147176,-1,896227,-1,195764,502665,777467,-1,757806,-1,-1,206671,-1,-1,-1,68735,-1,539265,-1,77227,499045,997184,-1,987568,-1,820242,-1,-1,330048,-1,-1,714000,147954,-1,188296,434527,-1,133167,315344,691000,-1,-1,58375,303562,96845,33744,-1,326446,-1,258642,-1,-1,64935,-1,-1,-1,235528,22871,-1,-1,-1,-1,374738,41122,-1,607633,743766,795963,-1,-1,-1,228040,628603,-1,751661,986625,541319,-1,414027,954728,-1,665673,-1,222477,670155,-1,300077,629792,-1,-1,-1,923209,805571,-1,109531,-1,-1,-1,-1,853254,-1,582364,-1,-1,445941,-1,691686,577771,517840,-1,-1,419113,938352,-1,37054,443890,652008,-1,195921,-1,185173,-1,290483,-1,-1,780675,-1,-1,865267,-1,491068,111793,485618,-1,-1,-1,50005,375845,232948,-1,-1,545112,367360,699689,-1,-1,-1,-1,442295,791827,149239,810815,401357,-1,-1,-1,80901,365497,79803,215205,-1,-1,-1,235264,861223,-1,-1,439212,547322,-1,-1,763437,-1,-1,540590,781651,601565,774600,838610,-1,-1,47991,535076,357199,155842,179530,-1,-1,-1,490988,8706,562927,-1,505810,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,738805,-1,-1,-1,-1,-1,-1,-1,552651,528804,935787,681169,-1,-1,734026,557379,-1,-1,421054,-1,-1,587153,478293,-1,-1,609633,-1,-1,-1,937356,220569,60736,58626,-1,-1,-1,-1,445207,-1,453321,-1,592763,538629,195030,661640,496548,175698,138681,-1,-1,199162,-1,-1,-1,-1,833497,796761,459739,414500,-1,162736,-1,877970,492958,-1,-1,-1,-1,185483,776572,242315,-1,480012,855539,670614,693649,-1,-1,-1,437147,84984,-1,-1,-1,892765,-1,607221,-1,9378,-1,-1,-1,836735,362870,-1,-1,-1,-1,-1,859955,27662,-1,632576,-1,-1,-1,-1,582619,-1,880721,796357,320879,-1,-1,-1,-1,670600,224804,-1,-1,818817,652237,84292,-1,-1,-1,-1,702707,-1,-1,9079,-1,-1,9496,154028,-1,-1,677149,-1,-1,129662,-1,362953,719604,-1,-1,289078,706266,104868,-1,-1,637665,286386,-1,722236,-1,294378,882052,-1,-1,-1,515947,-1,58247,924164,280386,422604,605852,885691,458584,639856,38642,-1,170790,-1,97648,24766,977852,559642,-1,-1,-1,-1,-1,539733,-1,-1,-1,383047,140494,736531,-1,-1,-1,-1,7506,-1,754320,752528,434120,234554,-1,-1,-1,976989,254059,460839,-1,2969,-1,741720,-1,-1,631312,-1,517112,505670,-1,318677,-1,-1,883346,430761,-1,-1,724489,124635,734936,-1,375228,-1,-1,-1,-1,979159,-1,-1,-1,232749,530044,-1,-1,674957,-1,335582,-1,942380,415150,505380,-1,-1,926942,472163,-1,296412,-1,110260,-1,-1,615894,-1,858911,997890,100634,-1,-1,-1,953184,881737,-1,-1,16952,-1,-1,481030,279092,-1,657536,752120,-1,64539,-1,-1,-1,566802,-1,-1,-1,570003,-1,132363,-1,908801,594952,-1,684238,161633,-1,771075,-1,-1,-1,239990,894709,118653,-1,375511,88166,-1,826406,-1,196226,-1,585899,-1,-1,143278,475089,400335,979035,-1,-1,478061,-1,417558,-1,960195,647868,669198,404153,907569,-1,-1,-1,-1,-1,-1,811575,-1,424498,97861,-1,792666,316053,9240,-1,-1,-1,340466,-1,248262,402768,-1,-1,656730,775824,-1,450197,290873,511807,567541,-1,836594,-1,-1,-1,962920,961392,-1,-1,-1,511696,478972,-1,728192,-1,594739,-1,-1,-1,36375,246879,-1,-1,361038,-1,857150,159719,-1,752902,293684,248143,-1,352746,836840,-1,263222,719099,509881,-1,285943,265232,204082,611203,106234,-1,-1,-1,516635,-1,900087,285002,154300,-1,-1,407710,-1,539961,-1,785579,-1,-1,-1,49462,-1,491586,-1,839395,-1,428996,534230,-1,-1,261248,-1,741996,899206,-1,254811,705224,-1,-1,158002,167673,-1,725936,758097,613207,-1,709317,774861,623315,-1,-1,-1,-1,768448,-1,-1,788142,-1,-1,-1,-1,-1,-1,541026,995530,284254,731694,319440,-1,-1,866246,-1,-1,568364,-1,-1,694006,384439,601773,80983,132107,410845,-1,595629,122135,702465,94535,919883,-1,414300,-1,94727,-1,-1,256416,-1,-1,565684,665622,104765,-1,-1,377050,414513,73443,-1,728297,-1,596849,-1,-1,-1,-1,-1,-1,481862,659997,561314,-1,615465,309150,853542,941097,425521,-1,-1,-1,194130,407889,-1,-1,734937,823737,-1,632292,-1,-1,-1,176953,-1,791290,-1,-1,-1,-1,948202,-1,116146,-1,-1,855710,-1,-1,414086,14616,-1,-1,518981,-1,-1,-1,823219,879801,708942,-1,538711,-1,-1,672849,-1,-1,195677,160616,51855,-1,645817,-1,393087,-1,319450,-1,926587,460480,675090,962779,-1,574898,433464,-1,-1,-1,564264,488231,252954,565229,890269,-1,531318,247588,411238,869202,665840,-1,985035,946088,87529,-1,85965,503778,191508,-1,-1,613753,976781,827815,-1,827206,-1,266551,-1,102660,-1,-1,-1,-1,923439,300415,-1,531961,428427,189414,996532,695951,413725,-1,-1,262418,316320,-1,844236,298350,831282,444765,-1,371279,29249,-1,424063,-1,-1,-1,-1,832950,863089,442348,-1,-1,-1,703203,319145,-1,612443,-1,775299,49585,924172,299809,428062,-1,-1,-1,-1,-1,913293,-1,143744,-1,-1,593200,215338,581390,-1,-1,456979,-1,80559,-1,922523,108166,-1,113525,-1,-1,342875,429243,158597,-1,923730,-1,-1,-1,-1,14885,-1,-1,-1,-1,-1,388857,416289,553278,-1,910055,498785,-1,-1,-1,900263,894521,33500,-1,674041,-1,748861,260578,694628,-1,-1,308394,-1,76576,413485,-1,421766,-1,796044,298431,152153,-1,-1,835790,-1,-1,803989,542208,-1,324337,494690,-1,-1,702917,-1,640407,583173,-1,689478,645666,-1,-1,391854,-1,971640,-1,671274,623154,66223,-1,312429,217993,-1,439781,172059,-1,-1,-1,174050,-1,107427,-1,-1,764019,-1,-1,911348,751668,-1,-1,-1,634708,884759,916566,109220,415350,-1,605388,938943,593520,502843,-1,-1,-1,209502,251531,68218,645087,361264,-1,28951,451508,377402,65041,722260,16755,-1,122341,-1,-1,912448,-1,-1,-1,764778,-1,-1,-1,508883,846191,-1,-1,57928,-1,684794,275700,910384,-1,-1,-1,-1,-1,955722,980990,744793,396990,438474,-1,-1,-1,-1,329923,-1,-1,838178,-1,371376,-1,-1,954831,-1,-1,-1,850730,620198,-1,922785,-1,-1,449378,362342,286628,-1,-1,-1,-1,555581,301376,-1,-1,529477,-1,-1,565539,-1,-1,-1,871044,-1,-1,744623,-1,-1,-1,343544,-1,-1,182567,-1,-1,722198,-1,564254,47751,-1,-1,962061,-1,677704,742256,975278,937123,-1,-1,531598,-1,-1,-1,628548,-1,-1,330566,-1,973362,-1,896119,-1,814843,-1,753954,-1,-1,255609,-1,-1,816208,541949,189548,679454,280303,-1,-1,488953,-1,-1,-1,-1,407368,780461,-1,405701,874536,-1,-1,390336,413179,333387,484441,667356,-1,414175,-1,927790,-1,311475,513159,-1,-1,-1,-1,911157,462865,-1,717443,-1,196400,274329,244372,8660,-1,615461,-1,940506,167692,801702,944513,-1,-1,-1,-1,183877,141953,-1,990067,414491,154952,-1,364143,-1,-1,318822,508733,236085,-1,350729,73892,-1,910418,541296,-1,-1,951199,-1,-1,-1,925956,-1,890736,907497,236654,-1,43055,364732,-1,-1,-1,-1,-1,-1,308349,-1,641022,-1,-1,-1,37470,-1,884545,-1,-1,966156,-1,-1,-1,353116,94725,337403,510719,-1,-1,-1,-1,188006,939584,-1,136415,-1,-1,68387,-1,-1,-1,157831,33740,-1,231050,196698,-1,-1,-1,555420,-1,-1,-1,474054,322444,-1,845052,-1,-1,-1,836197,-1,94226,49999,-1,-1,-1,742187,-1,854216,515124,790286,-1,150652,419830,-1,412026,566135,-1,713888,-1,363137,79741,825045,441881,-1,-1,-1,-1,624275,966701,-1,820307,-1,660541,-1,-1,-1,178176,-1,-1,606986,-1,506751,257402,478885,-1,-1,818499,910905,-1,-1,-1,-1,-1,-1,-1,-1,901208,-1,-1,-1,348331,896708,-1,277124,-1,-1,-1,-1,-1,193590,-1,-1,116270,-1,-1,716106,303119,-1,395553,-1,-1,-1,355541,-1,187163,934166,-1,359401,641348,-1,-1,116214,-1,328634,680852,-1,923518,707799,167902,-1,-1,-1,456756,-1,-1,-1,-1,493691,-1,764161,-1,-1,468532,157172,-1,-1,775434,-1,228160,-1,208445,-1,996020,85097,-1,-1,-1,-1,771328,-1,-1,-1,-1,103427,-1,698717,987945,26319,582995,-1,393893,-1,56193,873734,79953,565399,544408,-1,-1,837601,-1,977699,530465,-1,-1,-1,735962,-1,208256,286521,-1,659077,-1,-1,-1,764306,-1,952084,349767,296684,-1,633153,-1,7714,-1,97450,385708,855268,-1,916790,672105,348049,-1,528526,-1,-1,-1,-1,-1,-1,206636,28295,-1,134212,-1,-1,352215,723509,198023,-1,-1,-1,872911,-1,312736,-1,6995,-1,-1,265664,-1,-1,-1,-1,-1,436455,-1,825762,-1,547265,83081,336227,628247,206941,-1,-1,775539,-1,817417,-1,-1,-1,791759,761786,-1,362400,819844,-1,781516,101999,-1,-1,-1,-1,680722,-1,-1,-1,365478,13610,66998,-1,849856,184466,-1,-1,-1,-1,650351,-1,-1,-1,749143,-1,134768,-1,51193,493588,-1,506229,114616,-1,-1,-1,-1,-1,594308,490608,-1,-1,-1,409104,-1,-1,-1,429171,198203,775019,817642,740797,150980,195305,-1,58023,-1,885677,-1,936181,180510,-1,-1,856977,-1,923823,359280,33543,-1,-1,-1,-1,700265,817174,438142,479192,361995,777612,116792,-1,876562,909876,-1,-1,471379,19452,718946,555655,-1,99892,-1,-1,160045,-1,-1,864561,925341,643418,226826,-1,6027,371265,-1,-1,239620,134989,-1,-1,-1,949442,-1,147021,800247,159774,872962,408064,891262,-1,571479,846729,-1,450714,153494,221065,-1,564517,40331,991293,-1,-1,62116,747546,-1,-1,-1,-1,-1,-1,98448,251361,781248,36984,-1,634581,783450,803146,-1,-1,644028,948201,796652,-1,792884,582153,649191,783293,536530,-1,-1,779317,10472,-1,-1,800930,-1,-1,662124,996189,-1,990150,-1,-1,316305,-1,528545,505966,322538,-1,-1,-1,778466,74543,684040,978037,-1,49064,-1,865383,-1,615117,506488,358254,115759,318759,975131,-1,212610,-1,521623,810134,-1,588117,-1,587100,-1,725252,861927,610916,95522,901202,-1,714085,212211,-1,742041,171156,-1,-1,-1,-1,998633,569613,-1,340139,579299,124599,155984,205325,-1,90407,-1,-1,847658,-1,-1,619303,-1,-1,-1,948685,606918,-1,-1,991715,-1,448931,-1,-1,-1,-1,-1,451943,-1,375565,5544,819769,-1,943389,186634,327939,301860,-1,-1,827144,581003,926261,-1,518443,745099,-1,-1,245573,164902,-1,568471,427218,360664,758689,31401,738997,46769,-1,-1,-1,458452,-1,-1,-1,-1,320433,370951,264209,-1,-1,-1,-1,394901,-1,-1,-1,843785,-1,-1,706156,-1,-1,-1,630278,-1,16572,-1,-1,-1,-1,335742,-1,-1,898684,-1,-1,-1,749293,764395,621388,388133,665024,-1,793159,203430,-1,547821,195328,-1,163928,-1,-1,-1,503331,432285,196838,420814,-1,-1,-1,934281,381466,463083,939744,330728,-1,-1,-1,-1,-1,648143,499699,976418,-1,-1,-1,783109,413249,265406,-1,347212,-1,-1,-1,-1,-1,-1,940814,503990,-1,-1,148079,-1,115800,374804,396755,707672,596228,-1,145232,392159,852832,881721,796537,175094,-1,240030,-1,-1,-1,709474,688314,499377,-1,558458,420315,313255,633603,-1,146022,18415,-1,706929,-1,-1,771529,599596,-1,-1,491765,477835,261245,182134,830527,-1,-1,663940,282707,440611,-1,991410,-1,708417,-1,414053,-1,163711,-1,-1,-1,-1,805185,-1,850132,-1,-1,285595,-1,-1,-1,-1,640892,854251,230123,587385,-1,911168,86071,520144,245237,940167,-1,-1,-1,871923,-1,-1,727226,316887,-1,-1,-1,-1,-1,90226,442843,-1,66002,-1,183151,734707,-1,845169,809500,-1,801183,-1,-1,491540,821509,117352,-1,-1,-1,525647,608470,903317,19481,488204,-1,282267,355017,248651,-1,-1,789514,904973,-1,116837,116191,690664,433798,936335,-1,-1,432020,794592,564619,-1,-1,350077,594330,983669,-1,221939,437374,567191,332365,20506,822541,790773,-1,687773,703134,-1,737548,646401,129741,-1,476717,237640,-1,731464,989736,912279,595057,-1,-1,509213,871545,-1,-1,-1,514666,501474,-1,757303,-1,571617,938875,-1,-1,-1,590631,484727,745395,-1,499634,-1,-1,163822,647740,-1,-1,-1,-1,-1,814129,-1,167895,-1,229951,-1,-1,426458,415217,562583,-1,-1,20490,-1,-1,292750,538299,-1,-1,175852,-1,-1,168379,238018,912524,725836,254762,769161,323573,169451,-1,-1,756374,521825,-1,-1,962829,136922,-1,640956,-1,890448,609662,-1,-1,-1,-1,-1,955347,813336,624225,53454,734689,-1,448502,-1,-1,-1,925747,-1,357611,-1,327242,503819,360099,-1,-1,-1,965181,929743,609878,-1,-1,-1,368840,945217,-1,-1,-1,833208,449197,310877,-1,739602,511856,-1,19881,849869,-1,389904,762267,-1,604463,-1,-1,-1,581137,-1,-1,542692,-1,237281,-1,-1,925926,-1,150897,-1,-1,-1,-1,908191,725229,-1,491968,-1,247435,14556,864381,748886,999187,823607,-1,-1,809147,-1,-1,-1,-1,298697,242756,-1,-1,325964,-1,301769,306022,-1,-1,586340,237911,-1,-1,-1,651739,58082,999583,-1,-1,507997,900930,-1,237225,-1,156833,-1,589800,-1,25673,845696,551855,352851,-1,328525,320415,-1,-1,619844,-1,-1,-1,936845,152603,-1,344890,547085,929175,675764,-1,580401,-1,981826,-1,402686,-1,-1,335410,238045,736100,510964,-1,-1,6404,997112,-1,624450,908904,208617,814824,-1,375422,553358,522110,475887,-1,525007,-1,-1,-1,-1,421555,-1,981545,906852,17305,-1,651288,-1,950490,636757,-1,-1,-1,-1,-1,115932,743551,-1,-1,-1,-1,-1,277191,-1,-1,996847,93173,698090,-1,644649,-1,-1,-1,395332,10021,-1,-1,944977,619893,464245,-1,56725,-1,486360,-1,-1,647384,-1,-1,-1,30676,550494,105697,374694,384291,18609,-1,820459,-1,966705,984234,-1,-1,115748,831803,-1,-1,422975,953075,709944,-1,-1,365594,-1,-1,-1,-1,857677,358172,-1,-1,181146,209192,-1,-1,853193,-1,-1,-1,946693,-1,-1,831223,632458,-1,621806,-1,925139,909648,-1,-1,70050,923050,347054,-1,-1,-1,432139,-1,296567,-1,-1,-1,-1,-1,-1,-1,348612,919801,-1,-1,-1,-1,-1,41376,-1,-1,-1,-1,-1,271660,178971,-1,-1,530365,-1,-1,-1,-1,-1,150257,875204,557321,530485,951565,811848,-1,490928,-1,518475,91282,-1,484361,-1,-1,-1,862032,685339,993,438679,-1,943926,480883,-1,921961,-1,681943,898141,473546,819785,-1,-1,308604,573495,-1,892122,279064,-1,620867,907221,943771,-1,-1,903912,734863,-1,-1,-1,-1,-1,55911,-1,-1,680612,282717,-1,-1,-1,840470,460813,-1,-1,94865,788105,194185,365987,84966,-1,460355,-1,-1,258380,-1,547143,-1,-1,-1,-1,431766,725047,944299,-1,382676,-1,-1,497282,-1,259077,204604,-1,275584,-1,411041,981538,712948,60518,42597,764542,-1,665310,263389,-1,-1,413054,734692,-1,-1,-1,-1,298658,-1,497370,-1,-1,-1,-1,-1,-1,447745,556289,-1,364316,-1,988202,376403,45908,-1,-1,-1,71165,-1,772663,-1,-1,-1,465090,-1,435762,883900,61272,129239,-1,-1,345085,118782,359630,-1,-1,560134,204686,280975,-1,-1,-1,392402,298028,822064,-1,53572,870033,-1,-1,-1,579078,-1,-1,565983,-1,-1,935631,612596,278768,-1,856943,-1,227020,-1,845507,367044,595020,53356,254451,-1,-1,-1,781734,924806,326786,535746,466499,-1,-1,427586,908968,-1,348639,-1,-1,317635,-1,214980,-1,892762,479904,-1,-1,953787,-1,-1,-1,516447,-1,-1,768361,313567,-1,395335,13281,-1,114787,449302,-1,-1,-1,453567,-1,-1,-1,-1,128021,-1,-1,774843,810956,-1,290140,-1,984261,526368,-1,-1,-1,7357,654619,-1,-1,113991,636713,-1,250046,-1,629563,-1,-1,-1,279869,-1,777712,11779,-1,-1,-1,-1,113572,769185,495157,-1,179777,950860,84835,-1,-1,-1,-1,388110,854855,-1,-1,-1,-1,283069,-1,-1,248211,508282,-1,-1,-1,-1,-1,-1,916781,-1,-1,-1,-1,106597,-1,129062,314326,899196,-1,373897,986584,-1,-1,880096,-1,451634,-1,780466,556329,-1,275080,-1,-1,-1,428219,-1,-1,-1,488884,-1,-1,-1,138331,-1,915489,438647,-1,-1,-1,-1,339093,-1,514976,968392,831759,-1,656440,-1,-1,-1,-1,540633,501170,585186,39510,507362,-1,120021,-1,-1,-1,-1,30612,-1,104454,684774,-1,-1,-1,-1,-1,215831,-1,-1,926131,-1,-1,-1,739419,3812,905926,-1,-1,-1,529329,761974,858286,-1,-1,465307,-1,-1,747289,-1,773145,-1,-1,-1,722077,-1,-1,65545,-1,-1,-1,-1,500757,848267,-1,416044,670176,445507,-1,261549,36912,-1,230445,104070,-1,-1,-1,-1,-1,475615,176408,880264,397097,950101,300657,899498,-1,734044,-1,453012,-1,510879,-1,-1,533375,-1,-1,-1,532191,-1,347547,117590,647337,-1,923425,-1,1705,550453,358666,-1,326107,302387,803702,-1,341241,-1,-1,-1,-1,-1,-1,390804,868680,-1,252125,656803,3947,76958,-1,272397,167219,-1,-1,546862,892962,-1,244752,-1,-1,871351,-1,-1,666365,-1,274917,83427,-1,-1,-1,-1,-1,855347,626273,-1,-1,-1,-1,-1,496265,134812,-1,-1,-1,519609,611304,-1,48322,-1,-1,-1,-1,878641,-1,519067,762245,-1,-1,733064,130883,523015,-1,-1,46132,-1,-1,-1,-1,-1,195992,391101,-1,-1,968175,134652,-1,165776,-1,-1,-1,359536,-1,983459,-1,-1,302223,30763,-1,892365,-1,-1,988543,-1,219209,-1,-1,-1,-1,-1,225799,-1,370802,-1,457043,316387,233962,917340,589218,-1,-1,-1,339956,-1,-1,-1,-1,-1,-1,-1,-1,-1,361607,209955,62703,-1,535825,356201,563338,-1,-1,-1,926130,981591,-1,-1,613688,984691,-1,-1,-1,-1,-1,550628,655234,979019,61346,503665,361029,-1,-1,-1,-1,-1,-1,-1,355513,812454,-1,440289,-1,393421,754798,-1,-1,-1,700936,594489,110287,582591,796536,993674,206799,475592,-1,-1,-1,927303,513378,117627,-1,237850,-1,-1,-1,-1,509249,407034,446937,-1,-1,990282,786087,-1,179736,727540,14582,-1,596190,-1,-1,-1,160441,738957,-1,913542,-1,767209,-1,-1,525341,172454,-1,-1,-1,-1,656365,40387,-1,-1,130121,326798,945905,673782,-1,-1,554297,-1,877650,-1,936872,485119,168486,685477,405121,675607,-1,-1,-1,617484,-1,830212,676660,-1,-1,-1,779514,915368,-1,127368,-1,166960,-1,915864,363885,954588,402166,-1,601407,-1,561687,158108,-1,781947,-1,-1,-1,-1,-1,341646,-1,-1,-1,-1,-1,-1,739157,824725,753181,272653,-1,-1,374261,-1,606812,198108,-1,-1,-1,-1,372715,355240,-1,310999,856318,-1,544759,-1,379648,-1,920073,-1,-1,353092,446904,-1,57315,-1,23867,178364,690502,662842,-1,-1,587759,997640,409807,675584,569201,200520,-1,-1,-1,-1,-1,-1,275230,-1,921340,-1,-1,-1,519199,-1,319291,-1,725784,-1,-1,472841,-1,-1,-1,530531,642552,-1,190670,952235,-1,-1,22762,-1,-1,-1,-1,-1,-1,-1,269579,-1,-1,850636,-1,-1,842655,-1,383823,-1,593363,-1,-1,-1,-1,-1,-1,811657,-1,249070,-1,-1,60852,-1,-1,59143,-1,-1,-1,144446,11016,126440,295582,-1,-1,-1,134414,-1,-1,-1,-1,476942,-1,-1,349889,912471,-1,108689,-1,298059,-1,-1,833138,211892,33820,222609,976019,-1,854744,-1,-1,-1,906743,-1,-1,-1,-1,-1,844128,402654,-1,485258,-1,204210,447964,-1,394954,-1,-1,569310,-1,689623,-1,723319,206197,690100,558544,182031,-1,564209,801670,66178,-1,99425,-1,-1,-1,-1,250645,-1,-1,980134,-1,968562,977738,-1,-1,151487,-1,36103,961427,539622,-1,-1,388408,673925,-1,453572,244600,919006,-1,437001,-1,576703,960153,-1,-1,-1,-1,367111,294939,82406,389953,-1,-1,563521,453857,-1,613155,-1,-1,-1,-1,-1,-1,415777,978498,603909,-1,553860,707339,-1,963134,19790,398018,-1,-1,-1,-1,440802,-1,851727,822658,-1,-1,186383,314517,803554,623009,-1,-1,-1,315672,211686,-1,105029,-1,889735,-1,-1,-1,684790,756852,275068,-1,-1,-1,973336,328714,418934,-1,369639,228417,-1,949143,512614,-1,-1,-1,-1,191304,-1,216170,980214,-1,-1,-1,-1,358415,85357,-1,522580,420747,-1,-1,99155,261913,609426,378847,964045,589492,420409,158527,-1,179476,-1,-1,854346,-1,741337,-1,314303,133652,-1,-1,843103,811618,-1,340279,613348,-1,-1,-1,441397,-1,777739,-1,452310,198824,-1,-1,-1,-1,150101,345585,-1,-1,-1,516388,-1,665211,-1,259397,-1,-1,-1,-1,353810,73815,-1,-1,712796,-1,449990,-1,344799,105052,-1,820596,83468,33000,22794,945141,-1,685562,-1,840356,-1,460690,532993,-1,-1,133596,822989,761964,-1,148765,-1,-1,-1,-1,232908,964615,929429,994400,291542,-1,-1,-1,-1,-1,501756,-1,-1,-1,816992,897454,-1,-1,-1,-1,688690,765349,-1,6724,-1,799565,-1,-1,453750,-1,140820,-1,839519,-1,-1,-1,774507,-1,285649,601271,-1,-1,-1,-1,385218,-1,426681,-1,-1,-1,67094,-1,-1,-1,-1,995362,272169,72232,-1,322958,-1,101658,-1,356167,122985,399300,-1,1436,973887,-1,-1,-1,832158,482113,-1,402358,-1,-1,-1,-1,369461,-1,390168,991881,683548,-1,-1,-1,355584,-1,47205,-1,68608,-1,-1,870815,179641,-1,-1,963252,12376,658117,-1,-1,-1,-1,-1,776071,-1,517337,-1,-1,116514,-1,802313,349068,-1,-1,527680,183301,-1,931709,590867,450602,281045,45285,-1,921531,228507,738905,-1,484010,11412,-1,431373,-1,-1,213982,-1,355817,-1,31114,-1,-1,987235,-1,78343,-1,-1,930567,-1,-1,-1,-1,167619,-1,35036,-1,-1,531754,243143,-1,-1,965128,-1,-1,706142,-1,551096,-1,-1,664552,-1,-1,-1,37172,220200,182125,-1,195464,654116,441578,-1,-1,894289,666979,-1,555492,672390,-1,-1,-1,-1,-1,-1,-1,998851,-1,-1,-1,980248,795888,-1,546182,-1,393724,-1,-1,-1,-1,896183,482455,815650,-1,-1,101155,-1,648729,-1,579192,799924,751412,-1,-1,405070,97634,229750,362696,-1,723887,930893,353715,12209,-1,492570,-1,-1,-1,-1,819940,325335,-1,-1,-1,145746,-1,-1,514783,-1,677819,38185,-1,258946,-1,321100,990287,921028,-1,-1,-1,230105,-1,140890,-1,-1,949429,-1,87069,932327,-1,-1,-1,-1,741858,-1,-1,-1,498385,-1,-1,981077,-1,999636,-1,908376,806243,143054,-1,-1,-1,-1,764902,-1,779279,-1,621681,-1,873700,16656,453201,-1,684100,325741,-1,443480,131068,38871,503673,701018,-1,41214,54746,-1,-1,270191,-1,-1,819292,-1,-1,-1,561187,788324,714923,-1,-1,953426,-1,336070,-1,352370,699120,-1,42546,432128,-1,-1,-1,384556,492408,-1,-1,120865,-1,-1,308853,-1,-1,315266,-1,79382,523425,294553,-1,-1,352207,694856,835773,983481,-1,585605,-1,690103,153051,-1,593057,-1,-1,-1,468253,578349,612254,-1,921564,-1,-1,-1,-1,-1,-1,122260,-1,721212,-1,752969,-1,-1,786313,-1,140369,-1,91387,-1,-1,835518,626324,369369,-1,579995,-1,847197,221285,-1,49540,-1,-1,-1,-1,283815,-1,155039,-1,577542,-1,-1,95831,-1,417417,455564,992148,874271,913045,560439,-1,-1,719175,37397,595400,-1,-1,299538,-1,890058,-1,355800,-1,-1,144882,-1,918875,-1,81025,198034,969215,31088,238626,121638,-1,-1,895640,-1,-1,-1,132506,-1,-1,768795,672144,-1,171105,-1,-1,353868,844058,-1,824480,89373,-1,456230,307237,-1,-1,793646,-1,-1,-1,943150,-1,829441,84985,-1,-1,-1,18323,-1,418996,-1,434686,166969,489465,-1,659626,-1,95343,407039,-1,290514,241707,561747,718579,-1,-1,-1,-1,-1,724810,615013,-1,226360,-1,733857,-1,693919,-1,955652,262909,193956,744693,86212,-1,-1,774470,-1,-1,-1,666253,-1,-1,-1,-1,204932,-1,859972,-1,490034,733258,-1,731133,517605,-1,-1,-1,314898,-1,-1,424878,-1,-1,-1,819058,-1,589366,-1,409689,108787,941166,699526,293008,-1,-1,503252,366684,-1,668458,-1,516433,-1,-1,181318,84194,580962,-1,347676,-1,30226,127514,-1,-1,-1,-1,939784,742945,582292,243760,533524,-1,771985,97402,701086,-1,-1,328642,624196,249324,695904,-1,64095,255538,878787,-1,-1,623892,90791,-1,158572,-1,-1,328944,497894,779374,190100,289174,173505,-1,-1,-1,555592,548820,469837,745672,940707,-1,159143,928731,320042,-1,731149,-1,-1,526639,210054,12988,-1,754235,-1,-1,-1,-1,-1,172238,-1,-1,631041,418060,-1,832239,-1,-1,182821,-1,-1,154110,-1,838772,-1,-1,-1,-1,853955,411200,-1,305176,403287,-1,171773,794398,-1,375693,274871,982659,-1,-1,-1,94684,-1,509399,-1,-1,204091,-1,-1,561189,869629,726903,-1,237274,-1,-1,542877,-1,-1,467365,-1,213732,-1,-1,968239,703477,220048,-1,-1,933648,956891,178516,32597,908773,-1,-1,-1,849174,73875,940855,470628,-1,908760,496252,-1,-1,792372,225701,978777,-1,-1,910750,156876,806107,-1,406579,598449,-1,-1,-1,-1,-1,506143,106958,-1,-1,-1,264659,662348,837875,-1,-1,-1,288111,-1,-1,-1,188951,-1,129911,937865,498291,11025,207407,194494,166592,532604,832675,335432,-1,-1,-1,-1,309478,-1,-1,687139,-1,-1,673705,512957,706571,-1,-1,421630,-1,-1,-1,-1,-1,-1,266644,-1,839144,-1,-1,-1,952519,993655,-1,-1,247964,707541,-1,853330,421239,-1,-1,540989,794126,883554,-1,313520,-1,-1,-1,-1,899155,-1,966495,991495,744038,340061,-1,-1,366321,629638,-1,511819,-1,815041,671006,188036,384430,505875,193021,-1,333329,571791,-1,-1,73552,43662,135897,816605,583448,658743,806922,-1,-1,-1,104516,621299,108348,-1,-1,395001,427867,590904,-1,-1,-1,-1,303840,-1,-1,-1,-1,303112,-1,40025,-1,-1,963835,-1,258794,-1,413622,808474,-1,646713,-1,509641,-1,-1,-1,803020,-1,-1,794296,-1,-1,-1,-1,-1,101923,750501,695317,-1,477646,7088,666722,-1,-1,287572,-1,447161,928832,899900,-1,430840,808617,73721,-1,867215,-1,797174,488866,-1,-1,-1,965696,-1,-1,116472,-1,211049,-1,405022,-1,24298,-1,-1,966927,-1,-1,654425,-1,609650,189865,-1,-1,60929,-1,-1,951754,172537,-1,517737,-1,-1,-1,987325,536454,755995,-1,-1,-1,729571,-1,218807,-1,129565,457521,902955,289486,286405,150060,721310,149725,-1,867977,13887,-1,-1,-1,-1,-1,947696,-1,474312,853817,-1,51181,106121,-1,-1,173951,643783,-1,261667,303676,623708,-1,-1,540977,-1,985548,923217,-1,462572,998934,383798,771393,652531,-1,106065,797160,-1,687635,168957,762196,34877,91692,-1,-1,-1,2985,-1,-1,-1,943712,681804,747872,518325,549792,-1,927042,708902,163678,-1,109259,516267,874217,-1,-1,790446,24168,418298,-1,-1,749660,238640,290025,446021,748224,889147,303579,983817,-1,-1,-1,758486,622512,573054,533491,-1,-1,839122,-1,-1,-1,532081,-1,-1,610220,446558,-1,942252,509203,594627,-1,-1,500459,-1,547236,-1,584775,-1,-1,-1,-1,353432,312432,923693,-1,28302,-1,-1,105108,12041,-1,551410,413791,-1,-1,-1,864160,721933,279201,263450,-1,-1,598048,-1,56203,-1,-1,416834,630798,-1,382060,167562,-1,850130,-1,-1,466889,924881,-1,889801,-1,-1,-1,-1,-1,290382,-1,5273,-1,589111,-1,-1,946914,-1,-1,-1,-1,-1,-1,623571,821205,-1,-1,421222,-1,909507,-1,-1,-1,982992,-1,-1,44406,994932,-1,199554,271006,-1,-1,-1,-1,-1,401013,134301,285349,-1,911764,719858,326460,-1,713157,-1,-1,643894,-1,-1,-1,496686,226798,409557,-1,840726,967187,156779,642284,-1,-1,-1,538423,272347,-1,488050,325961,-1,33726,-1,-1,-1,-1,-1,633921,-1,92708,-1,-1,175553,766201,-1,981401,-1,-1,953776,679583,-1,-1,927792,764014,937994,-1,7370,641931,-1,14294,-1,-1,-1,909130,-1,681248,-1,680577,-1,-1,-1,-1,-1,-1,-1,330305,542911,-1,-1,-1,459890,-1,-1,821827,-1,-1,433116,-1,311627,-1,-1,-1,793154,-1,-1,-1,586892,-1,674001,-1,-1,-1,-1,170007,-1,-1,-1,-1,-1,855890,563722,-1,-1,590482,870201,25197,512141,689573,-1,658550,570205,-1,-1,-1,-1,218440,-1,-1,-1,535317,-1,-1,-1,-1,994068,755936,-1,930497,894703,790544,992325,748073,-1,-1,908609,-1,985301,-1,156437,-1,-1,-1,-1,-1,271185,-1,699379,-1,-1,-1,-1,-1,65822,-1,-1,-1,-1,-1,-1,-1,118844,-1,566287,453716,888878,-1,-1,227294,-1,236322,70665,791869,-1,892820,106390,-1,900453,-1,-1,-1,260922,236223,950829,-1,-1,-1,100769,-1,-1,-1,990846,-1,-1,118186,-1,6234,-1,24418,300344,-1,-1,-1,391988,571133,40472,-1,-1,108342,191406,568835,309719,421071,480720,-1,-1,205662,-1,533660,862867,-1,498106,553353,-1,530134,-1,-1,579672,-1,834202,648812,744391,-1,-1,-1,294855,-1,-1,-1,-1,-1,-1,-1,352541,8399,-1,-1,-1,879602,-1,-1,-1,780798,4401,-1,-1,344997,299002,870752,730950,37739,-1,254481,393364,-1,-1,928048,474265,985704,253970,892735,994530,-1,-1,-1,-1,-1,554359,699175,-1,-1,646587,-1,76600,53158,-1,-1,319707,33858,-1,-1,976453,-1,865616,-1,146187,-1,421481,-1,-1,723213,955630,-1,109588,572367,866308,-1,-1,646974,-1,114112,341489,-1,-1,108567,-1,239454,404118,862886,830180,312266,-1,-1,-1,109557,-1,446810,-1,769590,801225,299048,95106,412114,196366,446120,818746,24002,500651,795549,20451,256209,203871,-1,274896,-1,763139,202765,-1,-1,956784,561371,-1,-1,-1,768117,304610,573809,121380,697603,-1,-1,138446,-1,698647,-1,-1,678660,-1,710310,-1,-1,179900,536480,588653,-1,757684,-1,556083,-1,-1,43585,61107,907989,-1,-1,950133,272919,-1,-1,659808,166227,263331,-1,-1,-1,812662,-1,948525,-1,-1,247828,17921,981200,-1,-1,-1,910152,883176,197736,768331,257420,321909,-1,670802,776023,971688,626136,-1,40726,-1,715533,-1,735632,633460,265943,-1,-1,100868,283006,924424,978978,319625,937131,796090,-1,-1,548835,345658,316648,-1,-1,-1,-1,-1,-1,480580,-1,-1,-1,496500,369008,-1,934577,286613,-1,-1,-1,-1,226718,-1,602436,245358,-1,138907,374652,179458,-1,346109,-1,545963,73339,988943,683815,-1,570721,-1,-1,106436,316134,-1,413577,-1,-1,386292,-1,471960,386320,565581,827274,980936,-1,-1,-1,361084,-1,-1,605511,-1,-1,-1,-1,-1,-1,-1,-1,172407,-1,181708,-1,740447,755237,554020,7479,638470,-1,-1,557636,256986,509747,-1,-1,756495,-1,-1,-1,-1,785603,-1,-1,-1,577763,-1,47866,283885,-1,-1,669811,-1,196767,737304,730223,-1,-1,-1,-1,809476,-1,-1,-1,-1,270455,530693,-1,661712,949808,-1,-1,557135,-1,-1,625028,-1,331190,419957,195360,-1,-1,57759,153596,-1,-1,-1,-1,777310,-1,427250,-1,703470,-1,320477,640189,-1,-1,-1,658432,-1,926797,187341,-1,-1,-1,984099,-1,989435,-1,-1,-1,-1,-1,-1,-1,-1,836657,249512,774398,-1,-1,-1,-1,475729,-1,914109,-1,-1,420723,275231,-1,45973,97184,865952,600002,-1,91158,600961,314376,-1,-1,58549,622751,-1,-1,-1,-1,99473,-1,-1,-1,464403,249615,-1,-1,159869,812061,588822,-1,-1,-1,-1,-1,402187,567773,922872,-1,-1,-1,-1,508520,942860,222964,-1,177792,19737,502311,-1,-1,81674,-1,-1,-1,-1,829464,335716,-1,-1,148682,724216,161597,-1,-1,-1,-1,-1,-1,253852,-1,-1,940257,703794,-1,-1,-1,54505,674308,-1,435319,-1,956106,450056,902742,-1,-1,-1,-1,-1,177655,-1,-1,-1,660875,748850,611683,-1,480041,794437,410234,-1,-1,460493,-1,-1,-1,362761,-1,372814,-1,177657,-1,-1,721615,4305,-1,145627,-1,-1,578280,-1,479574,139788,933521,307863,53735,352046,246288,-1,914052,858282,-1,-1,585554,757613,295542,-1,144879,-1,954463,-1,-1,-1,237215,-1,-1,469256,-1,95598,414049,-1,9616,980240,56205,-1,-1,-1,945307,596612,-1,-1,314675,507111,-1,-1,171302,325306,280947,138888,-1,107877,820680,-1,523683,690725,623951,-1,-1,596055,-1,70380,-1,271589,-1,256963,532983,268902,960808,93378,640041,219934,-1,-1,-1,-1,-1,-1,243083,645255,-1,-1,217774,68139,-1,-1,108428,-1,596523,-1,-1,-1,-1,334065,786150,332024,-1,988711,500598,749017,-1,835902,-1,268973,117785,-1,-1,-1,509710,671683,-1,-1,17036,162509,-1,-1,-1,-1,106163,-1,-1,-1,-1,41259,-1,235086,-1,-1,-1,584345,634199,-1,883532,812779,748833,-1,328242,806174,-1,-1,59248,-1,928102,862935,751906,876547,-1,769794,-1,-1,71121,181138,-1,-1,446823,-1,-1,-1,-1,139000,222382,999116,879375,978029,162335,-1,-1,-1,-1,692058,-1,930432,389683,-1,435281,900632,-1,340123,546163,-1,948366,430796,675610,-1,-1,11472,-1,616264,-1,-1,303192,-1,-1,675999,-1,-1,366247,819312,-1,971911,-1,-1,-1,483874,993893,-1,484725,-1,57714,-1,-1,-1,593412,-1,-1,-1,861222,-1,779207,-1,-1,202599,75556,-1,-1,-1,-1,823562,35355,-1,-1,240254,-1,643638,-1,-1,-1,-1,835534,-1,770007,247300,155926,-1,-1,-1,985493,508519,783504,-1,253111,-1,-1,646116,877600,-1,-1,550913,638262,-1,-1,640730,-1,-1,821620,-1,16550,74266,-1,603324,808507,692108,-1,-1,267447,-1,43827,724353,-1,385829,478038,500916,414808,-1,-1,846121,293331,-1,-1,215952,-1,-1,185364,-1,914573,-1,-1,-1,-1,716502,-1,-1,-1,-1,-1,-1,10629,734971,-1,295277,61417,666321,600728,632520,829851,-1,494244,302882,355275,-1,-1,-1,638531,451051,-1,-1,454114,-1,-1,-1,204675,-1,-1,999940,-1,-1,-1,-1,579573,975880,-1,264733,-1,203655,-1,-1,-1,23057,499160,436126,665967,226598,-1,-1,201414,-1,-1,187633,-1,623627,-1,463324,951158,550172,-1,195119,-1,-1,-1,-1,-1,573584,419011,-1,-1,-1,577125,46115,498005,-1,-1,-1,65136,422945,745461,-1,-1,-1,-1,657286,406877,481501,412492,220214,773422,-1,75771,195813,163149,-1,-1,318237,467470,-1,310582,-1,481998,-1,739571,-1,-1,714666,387262,-1,-1,-1,134153,431586,812736,-1,840206,192976,-1,-1,-1,-1,446072,107129,264236,-1,-1,457197,-1,-1,385198,876397,-1,-1,551631,-1,255434,601563,-1,-1,29632,-1,-1,923447,975028,113617,-1,702375,-1,-1,445537,-1,-1,343336,952916,118900,591399,-1,-1,535220,568496,-1,-1,348749,-1,-1,-1,851165,591163,-1,867653,587727,301113,554635,271073,734312,671615,588996,-1,471799,-1,-1,-1,-1,-1,-1,847812,-1,355046,440551,696924,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,916066,353915,-1,847666,-1,877626,696667,800720,-1,-1,219316,417355,601878,-1,-1,385086,-1,-1,-1,609090,-1,640108,-1,-1,146606,-1,-1,614787,985200,447140,-1,-1,714388,-1,-1,-1,-1,349734,333195,610403,-1,449666,-1,603678,856085,-1,-1,-1,526542,516268,-1,-1,165944,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,818204,-1,33362,958819,-1,-1,-1,-1,469228,653924,866459,737681,646959,704948,257657,155506,-1,-1,887193,371185,-1,324664,-1,172435,720822,658906,82888,-1,-1,169766,-1,68718,-1,-1,364249,-1,-1,-1,-1,200866,924227,729805,-1,-1,762065,-1,592889,-1,-1,-1,-1,9399,-1,-1,-1,595782,591819,285448,-1,-1,176981,-1,365724,60401,-1,596545,30281,-1,715366,862946,793436,-1,-1,754637,904758,892050,-1,-1,-1,230393,-1,693939,-1,315393,546285,-1,23373,975629,593984,-1,-1,-1,-1,112738,321967,-1,-1,77950,211184,683481,-1,-1,-1,-1,-1,854099,990234,573136,943291,-1,559651,908472,-1,-1,-1,622288,603384,387012,405053,630094,-1,976041,144405,143484,221040,366409,98381,-1,452176,-1,29028,440637,-1,130301,904581,-1,-1,-1,749122,-1,-1,82174,-1,-1,-1,-1,136304,-1,-1,-1,-1,16431,97577,432360,-1,46786,209281,-1,-1,-1,-1,542093,440549,521985,195277,701650,-1,-1,-1,-1,-1,139464,168936,-1,-1,223761,287942,349321,468987,-1,-1,-1,-1,924427,-1,308626,-1,194862,366211,-1,569498,-1,747533,-1,-1,-1,-1,688160,272998,-1,248342,-1,226391,496069,-1,972147,428423,-1,992320,498101,-1,-1,-1,30090,-1,-1,-1,-1,-1,-1,98099,-1,831310,-1,34898,-1,451580,697056,892677,145394,406714,783969,724746,-1,877168,-1,636024,-1,338012,-1,-1,-1,-1,773511,56640,103087,973760,-1,992146,-1,358251,721344,243720,902557,-1,898544,766825,-1,768335,-1,894017,51166,-1,739875,988930,246947,171012,-1,-1,823390,367492,428440,333895,268310,105569,857307,-1,978487,535631,-1,166379,-1,910309,876141,-1,-1,-1,-1,699431,493855,415441,913884,304168,-1,834287,736347,-1,-1,602212,-1,-1,-1,140734,-1,-1,-1,-1,903661,-1,59426,-1,951459,-1,892257,-1,-1,942904,392728,514523,-1,-1,-1,-1,-1,193807,-1,408478,724036,-1,161754,920774,-1,106488,-1,876413,-1,-1,-1,903413,306993,825083,-1,964652,125668,-1,693861,-1,-1,-1,989503,-1,-1,516732,-1,420288,317748,-1,-1,-1,34918,926753,510712,-1,244158,374074,803026,-1,59765,-1,347719,47647,-1,934800,-1,-1,810338,268711,483603,328460,943586,96054,-1,548583,-1,711734,744491,-1,76837,-1,-1,337549,-1,661294,-1,192818,-1,644841,-1,-1,262969,123768,314721,562517,436786,251223,-1,582902,835175,-1,536682,24223,-1,-1,349671,-1,-1,-1,-1,29960,-1,886223,-1,689570,48505,691367,-1,70994,852395,414438,-1,-1,357086,-1,795156,-1,954738,872023,-1,-1,-1,784217,99837,916469,-1,468792,-1,442181,-1,-1,-1,222986,-1,256633,-1,545673,-1,-1,-1,673129,268490,843282,-1,696187,-1,-1,142661,738318,94578,988650,-1,804133,329899,432773,-1,-1,706205,409899,-1,-1,-1,435377,384656,-1,-1,659858,428518,770416,335796,-1,336873,119774,399210,-1,-1,203967,-1,52667,-1,-1,597338,-1,-1,-1,-1,-1,-1,-1,573392,-1,289400,458191,780098,955007,365458,-1,-1,-1,610425,65510,-1,-1,-1,-1,171101,598020,520892,-1,23319,368186,170335,12573,373140,-1,-1,-1,179388,-1,363123,591665,-1,-1,-1,68556,148517,373166,741746,-1,645126,795757,-1,429485,565134,-1,503906,243971,98855,521006,213329,688925,574642,-1,707692,-1,-1,610977,438945,-1,-1,467769,395288,660165,-1,726004,-1,-1,-1,-1,257305,-1,-1,83735,-1,-1,-1,815597,953258,252777,-1,36294,-1,100784,802770,-1,484324,-1,740369,-1,-1,105165,-1,325225,-1,-1,605412,-1,-1,-1,-1,273781,985804,998312,-1,-1,-1,-1,986824,27709,-1,-1,-1,410593,-1,695226,-1,-1,-1,-1,156442,-1,111478,683204,-1,425356,850311,641857,-1,627472,977935,483613,-1,983063,-1,-1,452106,710061,-1,452114,447744,-1,-1,-1,510687,475145,-1,254650,832717,596524,-1,502782,-1,158398,65349,-1,443588,919024,159611,730665,535500,237635,-1,-1,569018,-1,-1,607135,-1,319252,715952,-1,332601,802746,-1,544989,-1,-1,-1,-1,-1,175808,749849,-1,-1,957762,585272,-1,433074,278659,495222,-1,831598,349098,755170,875235,-1,-1,834453,310574,577634,454036,252802,353043,-1,716758,928661,-1,593558,-1,243582,-1,-1,632906,-1,157945,780101,-1,213774,754965,-1,-1,-1,-1,610471,-1,-1,-1,221654,-1,689036,683780,497209,708203,654752,-1,818,-1,980594,31517,781489,648721,-1,-1,-1,-1,599648,-1,-1,-1,21972,-1,487780,556743,-1,-1,931613,-1,408271,310927,34956,789109,-1,-1,-1,-1,-1,47237,-1,-1,-1,926451,841643,257303,-1,748633,54905,-1,819302,-1,-1,688879,996188,484575,362019,202505,-1,95299,-1,-1,589353,321098,81611,439456,758635,207178,-1,-1,50746,-1,854260,-1,607686,120054,267464,-1,-1,843295,529613,-1,96286,633726,248626,854523,-1,743714,430068,-1,331205,-1,-1,-1,605249,-1,993601,255785,-1,401017,668881,551461,925677,655117,874287,699036,-1,-1,-1,872066,-1,-1,-1,566386,81708,765671,849470,765985,955474,419893,-1,-1,-1,-1,-1,-1,-1,-1,564727,-1,-1,219207,64661,-1,-1,25481,108419,972482,979931,-1,-1,-1,-1,846953,32785,-1,-1,880194,-1,-1,-1,421240,913958,503430,684634,175733,783393,-1,-1,461501,-1,-1,-1,514201,-1,714979,-1,-1,-1,217015,463193,342012,158640,351203,733609,-1,106002,36108,248117,-1,-1,775858,-1,-1,554901,346186,420960,-1,90095,893464,280783,-1,178862,-1,-1,-1,757765,13273,117098,856827,682134,729478,728873,-1,-1,-1,-1,250537,-1,-1,-1,753739,565889,-1,-1,-1,1685,-1,-1,-1,-1,431819,-1,884959,545148,564326,777891,-1,981955,-1,-1,-1,-1,856453,-1,851544,783007,601668,817193,252560,-1,-1,149762,-1,-1,-1,-1,503161,388947,991049,-1,-1,-1,57890,-1,-1,83249,106178,-1,175464,441190,847168,750948,-1,-1,-1,924984,344639,-1,-1,204793,777828,407095,-1,503863,-1,871812,331289,-1,607852,-1,-1,801957,-1,766000,-1,-1,504053,-1,652445,957802,99214,685996,131930,-1,556661,292492,589023,6033,699958,612998,127534,893409,886694,50686,-1,450461,-1,-1,740751,-1,913462,329136,-1,-1,-1,539565,-1,664444,982964,-1,-1,775066,466194,-1,205120,-1,533171,120327,551434,949643,-1,268226,-1,882106,105527,-1,-1,591363,-1,871400,-1,-1,-1,-1,-1,-1,-1,742625,-1,913649,-1,-1,818448,-1,293690,-1,822292,-1,33468,95557,854841,-1,-1,808284,942773,8827,919778,251483,-1,687559,694327,-1,306842,-1,357776,-1,-1,-1,-1,747552,224797,-1,-1,272277,806121,-1,586120,418310,-1,341017,-1,35452,230118,669497,730467,63440,661816,183274,-1,-1,-1,-1,-1,737649,961181,-1,-1,36349,-1,-1,-1,-1,-1,108606,-1,-1,-1,42223,-1,228221,389675,944918,665994,-1,-1,-1,-1,-1,-1,767062,725947,455397,-1,664961,-1,377781,-1,152907,-1,274263,-1,579719,353292,666918,-1,-1,-1,-1,215461,99479,-1,197726,112464,-1,700985,461830,-1,906683,414655,431663,-1,349426,-1,-1,-1,494691,-1,223943,-1,-1,-1,-1,-1,349185,-1,510920,-1,-1,392200,-1,-1,122335,906631,-1,-1,-1,256973,-1,-1,-1,214483,-1,-1,601329,-1,-1,-1,468390,395626,-1,-1,274114,821037,-1,-1,-1,44898,-1,-1,-1,-1,-1,294174,-1,-1,425562,867603,-1,-1,-1,-1,808921,149224,614811,196027,670678,-1,-1,936593,955704,763645,-1,968012,-1,-1,916548,-1,-1,822031,574612,690975,489049,114031,-1,57015,-1,-1,-1,-1,947022,196472,408789,-1,709945,949631,376658,-1,-1,-1,-1,40187,622625,412968,998744,-1,-1,698561,-1,-1,-1,-1,57736,-1,-1,-1,530076,612937,-1,-1,782784,973628,-1,183824,949891,-1,-1,186745,-1,577354,757979,-1,-1,83650,-1,-1,519447,819806,514433,663023,-1,-1,-1,-1,243118,-1,679305,-1,-1,-1,-1,640379,-1,859833,611307,-1,-1,890615,-1,72979,55874,-1,594447,-1,720515,636453,-1,901232,991204,931274,581559,-1,-1,-1,892477,822092,-1,-1,-1,-1,-1,675517,605091,-1,-1,426361,178263,-1,-1,-1,555187,-1,200207,-1,-1,-1,-1,200855,-1,161734,-1,867979,696132,153612,-1,-1,-1,-1,717463,-1,-1,-1,-1,451347,361659,626146,-1,209560,-1,425697,300593,-1,165963,512701,498096,566238,-1,731425,-1,-1,555484,-1,718708,-1,163067,62336,-1,763785,494348,985362,-1,482855,-1,583597,514375,73948,-1,346188,-1,955754,-1,860078,-1,860149,985274,547627,-1,275039,291485,24859,-1,414535,17464,111833,581839,636183,-1,-1,-1,980696,13617,616441,-1,-1,838361,-1,352037,-1,-1,69599,351154,-1,219986,-1,-1,-1,375419,851138,540291,-1,-1,453598,645834,-1,205591,677822,788463,-1,-1,568869,435424,-1,-1,-1,589219,-1,-1,-1,-1,-1,192864,775891,-1,-1,-1,-1,-1,437113,-1,432190,98096,-1,-1,-1,220358,364006,846362,136497,-1,74818,455216,351683,996540,-1,-1,-1,-1,-1,992386,651222,-1,-1,-1,837645,913784,-1,588696,360806,330149,895068,959445,549271,-1,-1,-1,168223,605418,-1,-1,-1,-1,989121,515711,-1,-1,-1,528162,176052,535110,-1,40368,-1,671258,284768,-1,636417,739086,-1,-1,160707,999778,-1,-1,339798,-1,-1,-1,-1,339791,487586,-1,161669,965502,-1,933747,178272,-1,243700,-1,654063,-1,-1,605891,-1,707514,-1,-1,312805,663483,919229,109442,676811,608636,260813,-1,-1,853487,116425,384370,711764,795899,-1,-1,-1,-1,-1,831793,790843,743417,197310,466220,897078,466675,152545,951740,608347,-1,565565,500077,-1,461260,278309,-1,-1,383406,691295,-1,799726,-1,500310,569377,914331,494245,-1,-1,903055,239795,685703,957714,892076,-1,-1,-1,-1,-1,282333,-1,-1,611091,-1,506467,-1,-1,442203,226684,-1,95851,4796,367399,-1,674836,639636,688929,-1,990650,-1,-1,832465,-1,105344,-1,680821,-1,-1,809859,103157,876029,-1,229832,517829,569248,-1,-1,-1,328062,-1,-1,795839,525979,87952,657340,317643,296938,-1,-1,437279,-1,538467,-1,-1,311081,-1,30038,812289,927668,335267,112458,595904,-1,-1,-1,167994,-1,-1,-1,-1,293615,-1,880928,961848,-1,-1,854565,810333,756227,-1,318278,538900,-1,-1,227413,-1,373333,97886,-1,-1,645804,87662,641095,-1,-1,650350,202809,-1,489704,778027,366035,330088,-1,-1,121436,-1,-1,-1,472260,431820,500088,-1,123251,454718,46184,70097,61350,-1,706775,-1,530288,559806,-1,-1,612366,-1,-1,40596,-1,-1,-1,722218,-1,-1,680530,-1,-1,-1,505229,563176,-1,-1,-1,82503,-1,449641,117132,-1,-1,-1,931522,-1,516871,935510,599879,-1,49916,837215,415754,177887,4301,-1,758562,966781,-1,-1,-1,748823,-1,411165,-1,-1,-1,-1,-1,-1,-1,869317,545328,-1,894914,-1,-1,298088,20141,909871,481363,-1,-1,-1,-1,-1,-1,519782,311497,469232,218064,-1,-1,227944,-1,800086,-1,-1,-1,425494,-1,896678,-1,960758,-1,-1,-1,-1,-1,484791,20403,-1,318597,832531,584324,-1,125785,-1,981202,-1,-1,-1,513565,-1,660878,57692,-1,674517,-1,502931,-1,-1,444110,329967,-1,699186,-1,-1,797843,-1,183011,-1,218084,333105,-1,-1,696741,896525,-1,104265,-1,-1,-1,-1,817163,-1,265821,634548,470130,593144,751106,-1,554245,-1,235898,885975,-1,-1,876889,389403,-1,-1,145244,-1,929969,211270,-1,-1,283240,198349,-1,54994,-1,564413,-1,702227,-1,336192,347034,930356,291495,630207,71712,543183,20729,182559,383675,415781,163474,-1,390339,772389,16218,441293,-1,-1,185264,264390,257715,798358,247907,112235,-1,-1,-1,139508,-1,-1,-1,-1,191961,593360,-1,404315,-1,109843,-1,605159,-1,-1,-1,683046,-1,-1,39294,-1,-1,968772,-1,-1,312522,-1,-1,-1,530505,196115,262279,210088,-1,822097,572396,402424,-1,781660,224753,29296,846167,-1,783311,23922,-1,-1,231621,-1,874336,-1,-1,-1,239297,-1,981258,955459,622125,-1,-1,-1,367282,-1,-1,20240,-1,-1,807296,529910,-1,952237,-1,-1,318292,598400,288781,-1,-1,338115,-1,443513,620774,-1,824282,429655,-1,929107,-1,-1,989727,675625,364875,-1,421907,-1,178013,96328,377150,154943,332303,-1,-1,-1,996800,225766,544035,845522,-1,-1,743363,264348,-1,-1,774067,-1,-1,-1,-1,448361,-1,821356,-1,-1,-1,-1,-1,93642,619870,-1,-1,-1,656029,-1,-1,-1,27143,-1,-1,-1,-1,-1,721975,-1,926599,-1,-1,821081,-1,-1,85933,244586,769101,615984,561752,-1,507411,-1,268045,185465,-1,374242,-1,-1,39166,-1,751489,933666,-1,-1,-1,-1,627195,391606,504746,796744,247514,193756,935965,907664,275412,-1,741536,349270,637163,698805,545882,-1,257713,506960,812071,746047,520122,807971,-1,116495,670444,895220,145650,-1,-1,-1,702834,188022,475903,65096,-1,-1,937522,584159,904335,-1,100490,808535,-1,444605,892059,-1,-1,492429,776750,25553,463675,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,103007,-1,-1,-1,-1,-1,-1,-1,-1,671513,470559,469342,903150,-1,-1,-1,-1,-1,36119,355670,-1,535805,360058,613430,-1,576191,869779,55401,484996,737206,-1,-1,606649,243965,-1,-1,65750,725101,522754,678118,-1,402257,445626,458417,-1,3739,396418,513868,-1,702938,183710,232970,-1,816442,-1,-1,-1,-1,-1,-1,458080,787047,621007,-1,544873,-1,225763,-1,-1,766661,-1,722608,-1,-1,-1,-1,-1,813802,-1,-1,-1,150033,-1,590089,983103,-1,-1,-1,-1,37888,-1,960616,-1,810210,-1,-1,300946,871236,-1,-1,-1,-1,524608,490221,781208,-1,-1,-1,-1,-1,-1,242479,-1,797511,140677,-1,145060,-1,909781,-1,-1,-1,-1,140750,385903,-1,421759,-1,985915,-1,610062,366463,398099,-1,-1,711310,-1,795639,-1,-1,-1,-1,49907,380670,-1,182092,-1,-1,-1,-1,962388,-1,-1,752964,-1,58095,-1,90676,31046,945848,236682,37087,890862,161701,20058,923296,363267,199054,-1,120850,-1,-1,-1,710860,-1,-1,44744,652342,-1,-1,-1,232767,442284,915538,261658,-1,958417,961240,183774,-1,47561,-1,-1,-1,245325,166490,-1,902220,469481,238863,965184,-1,862612,621372,-1,865613,716733,-1,683242,851133,-1,-1,-1,-1,802607,614344,892598,877669,-1,-1,986848,289399,636892,-1,596825,514139,-1,528208,-1,294436,-1,263785,309244,207048,126175,-1,-1,-1,602744,510734,-1,-1,-1,207713,-1,-1,627652,-1,-1,235679,398778,-1,-1,-1,-1,-1,-1,973449,-1,609950,-1,-1,324696,-1,-1,-1,935148,-1,-1,-1,317926,-1,-1,242934,572837,189429,-1,233074,219721,50450,513001,-1,-1,768773,-1,-1,640829,737505,-1,-1,425745,-1,748193,-1,-1,936526,-1,-1,-1,-1,-1,9541,-1,450570,-1,225155,195835,414625,-1,-1,-1,76620,630285,-1,34670,-1,673740,150453,46214,606432,890536,537560,-1,-1,-1,83857,-1,-1,851063,283103,-1,531702,-1,489957,-1,375937,630584,-1,232079,-1,-1,-1,-1,-1,638973,722158,163853,-1,838541,263662,703667,-1,359399,-1,-1,224854,-1,-1,-1,189651,-1,-1,-1,141618,356894,-1,-1,-1,858075,473045,-1,-1,-1,-1,-1,-1,-1,341463,640105,539461,640067,-1,76486,-1,904388,91230,673350,74970,804973,771613,135329,679845,849578,98820,-1,896406,109251,157305,873986,952410,595624,783591,187451,-1,-1,-1,394374,308005,126252,185661,-1,-1,247585,656540,841551,-1,35346,285366,555509,208948,-1,-1,-1,190937,-1,51742,-1,622005,249749,103979,149356,295558,-1,-1,203673,113155,343673,694250,-1,732966,-1,-1,773456,721738,-1,-1,650956,592556,-1,432972,689962,-1,861334,457731,99510,45380,-1,-1,-1,414431,-1,-1,662120,-1,975635,-1,-1,-1,175152,997258,828226,575665,-1,-1,665115,21867,-1,-1,-1,190447,-1,-1,-1,-1,747817,121602,854922,-1,776406,669008,-1,118139,518940,-1,-1,23803,169642,239642,-1,-1,188620,259502,626846,-1,780475,505750,-1,950463,-1,351476,364087,-1,-1,-1,909452,529621,-1,609873,25733,-1,542479,-1,-1,-1,-1,789702,707042,864314,-1,-1,-1,525241,-1,-1,-1,314104,662991,240155,129205,501892,-1,-1,-1,496434,405062,-1,-1,864300,982305,617925,248332,225176,683532,756533,-1,298592,-1,492230,-1,116701,928765,937207,-1,-1,668078,-1,-1,334529,-1,800824,447741,387965,707460,-1,-1,791361,-1,-1,659829,10987,-1,-1,858855,-1,859964,-1,232846,-1,-1,506749,936795,-1,432369,176744,-1,934778,405698,133033,-1,-1,-1,-1,307206,-1,531402,-1,-1,712478,88297,-1,215313,-1,337939,-1,-1,-1,140240,-1,-1,866056,205040,-1,-1,-1,922023,401376,-1,-1,-1,411301,659922,-1,545889,952194,453885,-1,329573,856282,645121,849339,-1,-1,616412,-1,-1,-1,856799,607500,-1,-1,286753,558661,673755,259607,662289,909845,-1,-1,150964,-1,477072,-1,-1,-1,-1,251486,-1,-1,-1,574830,-1,459622,726245,877177,-1,-1,733992,-1,185290,-1,109827,-1,-1,-1,-1,-1,34879,-1,-1,950108,328911,937468,-1,124675,-1,-1,-1,845286,166927,84870,362348,-1,809616,-1,612140,461329,152822,698788,-1,499620,56713,-1,117105,526889,-1,-1,349903,-1,743669,886929,-1,-1,944177,-1,553038,-1,104660,50043,438125,-1,382425,191755,-1,-1,469688,470775,-1,-1,1349,746152,116695,588377,133926,812627,34422,-1,-1,-1,-1,908264,245467,708272,-1,370290,28648,938876,803166,275050,221778,-1,670659,-1,-1,64245,651945,-1,-1,-1,457547,788742,-1,510756,472951,310672,125027,48340,36571,-1,-1,-1,341174,-1,32277,497011,-1,244202,774276,-1,-1,-1,394327,-1,-1,945416,-1,-1,-1,545316,281946,941522,734288,-1,347073,614494,-1,395254,-1,839154,717868,-1,722438,-1,357971,140014,-1,34364,193100,-1,423187,-1,-1,-1,-1,-1,-1,414861,-1,-1,970381,616622,-1,-1,869592,-1,356162,423210,-1,80780,-1,-1,-1,339934,-1,992546,-1,-1,701663,236116,-1,-1,3994,35370,974340,-1,556158,277130,-1,918040,140671,-1,594039,495713,454740,-1,436520,-1,-1,-1,578705,713789,603307,116404,-1,796303,-1,460972,-1,842268,-1,387993,701518,-1,59932,618855,-1,-1,847909,-1,383332,481585,-1,-1,472240,708205,683175,446005,327239,-1,-1,627062,977245,785522,276707,975099,-1,560769,724674,-1,630017,900358,786107,869729,-1,663377,-1,528869,312751,683049,146211,531126,-1,-1,262618,-1,-1,233777,274371,-1,-1,-1,251656,18225,-1,184758,644286,-1,188395,-1,-1,-1,-1,-1,-1,432732,287660,-1,716042,-1,-1,-1,-1,-1,-1,278532,746643,-1,59136,65916,-1,-1,-1,-1,-1,199601,280599,-1,-1,395885,-1,-1,154262,855537,-1,151969,-1,838249,2584,736270,910556,756070,-1,-1,-1,-1,-1,-1,-1,-1,-1,986611,-1,-1,-1,-1,-1,133079,-1,-1,-1,83350,217116,463914,-1,780686,-1,-1,983858,-1,439266,452297,572950,-1,-1,-1,759423,205205,-1,-1,-1,-1,903050,199953,-1,32687,-1,-1,866062,-1,-1,942909,-1,-1,432911,675248,-1,-1,-1,253267,-1,659447,589202,-1,612598,739073,438423,816452,897532,-1,-1,-1,885411,-1,329001,-1,96785,24562,-1,311776,-1,-1,349055,451809,53137,-1,-1,38100,454950,342231,390039,765898,-1,670537,641938,767957,-1,-1,-1,246346,253123,-1,475763,-1,544623,-1,-1,216650,572844,-1,-1,579740,742401,77274,327821,-1,-1,-1,612433,-1,-1,-1,-1,-1,144341,-1,-1,-1,885531,739019,102795,825769,-1,-1,417487,-1,-1,235666,456866,-1,-1,-1,-1,-1,-1,-1,334288,-1,21344,649656,499454,650237,-1,-1,-1,-1,661223,-1,377066,-1,745477,-1,25536,94340,-1,754264,459775,445676,499442,-1,333270,-1,-1,598283,468693,860279,551909,461504,-1,-1,242717,-1,-1,-1,-1,-1,877487,676903,595334,309881,-1,1787,-1,883986,113160,338545,18599,606775,-1,971239,183691,371982,-1,-1,-1,-1,720268,-1,-1,-1,-1,772405,-1,927163,-1,-1,15248,-1,677697,828104,-1,-1,845034,838217,473212,-1,246149,-1,671686,847035,-1,-1,-1,-1,-1,-1,136682,919274,767176,-1,-1,36969,-1,579808,461345,-1,-1,-1,127716,448008,-1,-1,-1,906899,-1,-1,-1,510419,272360,853952,217416,648554,580785,-1,-1,951072,463861,53826,176611,105366,317681,647672,897971,-1,678212,279011,810413,-1,164620,754321,-1,756011,-1,503047,-1,586905,-1,-1,-1,967239,416775,-1,958474,615407,-1,739324,-1,43804,295982,-1,-1,-1,-1,-1,126206,-1,344838,-1,-1,520169,-1,-1,173236,328342,451586,119234,-1,173471,-1,700659,349398,687739,-1,221448,-1,-1,10133,-1,-1,-1,358184,516472,-1,-1,397561,487400,339827,-1,-1,393032,198307,552689,301142,647690,-1,-1,-1,-1,-1,-1,-1,-1,181409,-1,994809,549283,-1,-1,-1,-1,617060,-1,365209,985295,-1,-1,253187,982209,-1,-1,636304,199096,-1,-1,316777,406978,-1,771917,938432,27781,806863,-1,401093,436931,-1,891624,117055,-1,295762,762008,-1,776357,985722,236503,-1,-1,919914,982336,-1,529887,341100,-1,-1,-1,-1,-1,-1,-1,-1,447418,188599,633020,-1,839638,72215,715564,53820,974697,486871,215204,697100,744528,846354,176854,148262,813752,-1,953840,382921,684578,-1,159650,-1,717130,870272,-1,-1,221704,-1,347952,-1,-1,590807,399014,-1,-1,-1,-1,5355,195382,-1,-1,-1,-1,984425,859489,960289,-1,47811,-1,753401,71043,-1,-1,-1,-1,-1,-1,-1,-1,-1,804792,-1,-1,478826,232684,-1,-1,-1,758462,-1,978690,82136,660146,875624,-1,-1,987275,492865,-1,327615,940316,536886,-1,-1,941794,-1,-1,-1,-1,-1,844742,265713,-1,647133,-1,535630,-1,-1,993309,772931,-1,433465,712923,-1,380931,-1,-1,-1,-1,587247,-1,-1,-1,869474,-1,362639,-1,-1,-1,-1,-1,-1,-1,781774,178259,741498,-1,-1,24843,-1,328920,-1,214668,243347,316832,-1,974089,365452,-1,422234,-1,466809,-1,133899,183693,105453,-1,-1,680428,523151,-1,-1,217419,-1,641855,331511,502194,191087,-1,-1,463275,200796,878058,-1,-1,406897,-1,897901,-1,683329,-1,-1,-1,-1,990350,643227,707309,-1,-1,-1,773805,485161,-1,-1,-1,374647,-1,558519,-1,-1,-1,-1,-1,253558,353308,179136,-1,-1,311400,-1,-1,-1,99462,329651,-1,-1,702016,-1,53561,18794,-1,696910,-1,180794,-1,445486,365149,163947,966218,826861,-1,-1,564678,-1,900857,-1,989417,55021,107756,-1,938053,-1,189200,713614,-1,-1,279281,584283,351307,-1,-1,700828,199931,201294,-1,-1,799256,-1,-1,218479,-1,-1,-1,315040,-1,-1,-1,-1,-1,519465,-1,-1,-1,-1,917277,-1,865506,365826,-1,165042,-1,-1,-1,-1,-1,-1,-1,-1,-1,303557,309093,829681,-1,-1,486260,89012,594756,661901,-1,-1,-1,4278,158776,997441,386434,-1,-1,-1,499681,576852,-1,627841,241573,761789,-1,-1,-1,319908,-1,29180,-1,57180,-1,-1,-1,-1,94429,-1,-1,401535,892089,-1,-1,296864,773478,-1,124608,-1,214334,-1,-1,-1,928985,67058,560875,-1,867650,-1,454418,-1,381119,-1,-1,-1,-1,-1,-1,319677,350324,398922,275484,-1,-1,-1,715594,53009,-1,883951,553548,-1,-1,-1,-1,457364,20720,-1,-1,-1,980020,177319,-1,711055,581052,92631,435881,188031,-1,-1,-1,-1,-1,-1,-1,-1,-1,867884,411686,295677,930995,-1,657916,-1,341622,558144,-1,405639,-1,758638,-1,-1,-1,-1,475584,-1,-1,-1,433014,-1,-1,157845,910728,-1,-1,953661,-1,935907,-1,-1,301465,-1,234057,733493,25662,617478,-1,-1,638791,882160,503327,-1,-1,-1,-1,-1,-1,586341,250480,-1,-1,98235,-1,143037,311711,-1,-1,-1,-1,243888,255919,-1,-1,250959,-1,-1,129122,82211,-1,712706,-1,-1,-1,958498,-1,-1,780666,251187,96848,-1,436494,-1,328846,-1,-1,-1,-1,-1,-1,-1,-1,530119,-1,109733,282986,-1,603771,802355,578174,545873,169734,203160,-1,406364,-1,970246,155329,879710,-1,-1,-1,-1,244891,-1,213437,-1,856804,309110,699252,-1,572710,809177,814652,914342,553097,-1,-1,388895,965167,-1,742743,31258,-1,38076,-1,8074,-1,783518,-1,353960,-1,530537,-1,-1,155392,96720,-1,573689,157947,-1,361825,-1,-1,338784,442544,251978,287434,-1,332008,967008,-1,-1,64416,-1,757081,290582,-1,680883,-1,713731,-1,-1,-1,-1,-1,299595,-1,-1,-1,120716,453959,-1,-1,648306,-1,710809,-1,-1,214866,667548,402131,-1,70481,650250,-1,169825,-1,800110,881880,-1,866385,-1,118395,-1,825388,25383,62029,-1,688169,-1,-1,-1,190584,-1,-1,144790,17173,-1,-1,-1,-1,856644,590235,946846,416896,-1,660228,914300,936540,-1,983642,768263,963700,-1,604881,-1,-1,156567,-1,719974,-1,835612,-1,-1,-1,-1,942955,580965,264476,-1,-1,-1,237889,52349,-1,-1,-1,806026,186091,-1,96021,566148,792348,-1,-1,-1,-1,675472,296315,-1,471179,271958,-1,-1,167351,-1,-1,403592,-1,-1,354878,447008,932797,-1,377365,-1,-1,-1,-1,711353,-1,-1,-1,215625,716314,-1,-1,-1,772037,-1,183020,-1,-1,800063,-1,-1,807127,-1,-1,379082,689494,173429,877398,951195,673370,-1,-1,-1,-1,362713,387956,-1,-1,-1,507851,-1,962698,340613,176463,-1,-1,503864,-1,728902,770303,-1,723006,-1,-1,-1,855056,166044,-1,925703,198525,778752,-1,450707,700386,-1,911745,128690,476770,688163,204949,368591,-1,263686,720597,-1,603420,-1,910499,-1,140039,807447,-1,125536,-1,-1,861299,-1,626962,551218,-1,-1,341424,-1,679351,-1,-1,-1,502537,-1,-1,-1,989343,-1,-1,739923,123872,524929,-1,-1,-1,-1,103885,-1,-1,-1,-1,549712,123469,851968,-1,282528,789364,-1,-1,835078,127837,492762,645795,854196,705143,498299,778009,-1,242695,457343,613253,983226,-1,-1,-1,-1,-1,-1,-1,164754,412454,-1,196516,650315,-1,-1,-1,-1,452535,866365,617864,-1,-1,-1,-1,61908,938799,-1,-1,-1,119088,-1,-1,-1,574401,-1,-1,437330,583405,-1,832592,-1,-1,271350,73298,-1,273361,833113,-1,-1,27544,91495,323768,-1,-1,116651,-1,708212,49543,-1,-1,685539,-1,-1,417972,366752,-1,36697,-1,876658,-1,856505,133207,-1,886514,-1,465174,-1,-1,988888,-1,889557,-1,-1,-1,-1,252461,-1,670903,732996,913692,-1,-1,548482,-1,-1,-1,-1,-1,110271,-1,338057,163607,85730,-1,262031,210879,-1,-1,759355,-1,-1,-1,82081,-1,-1,754495,-1,977670,451299,103222,397190,-1,22702,66695,325821,82534,515491,-1,685747,861406,-1,-1,-1,967985,647953,397362,-1,-1,-1,-1,782643,336483,-1,-1,-1,6288,-1,607589,-1,615775,-1,-1,-1,714880,-1,859834,-1,122686,8755,-1,546728,734862,395543,263400,-1,-1,-1,57696,417367,-1,50245,865679,-1,-1,-1,-1,-1,888022,436334,955681,839536,997450,959064,319157,144278,485806,918207,-1,-1,-1,224897,830244,540024,-1,-1,-1,907254,360983,-1,-1,238,-1,-1,570794,-1,-1,-1,-1,980831,292549,460248,-1,-1,704821,-1,716481,-1,842237,-1,981707,-1,503785,340459,534440,-1,-1,-1,-1,936470,-1,450659,-1,-1,-1,287546,543162,265628,-1,-1,-1,183991,-1,-1,-1,560564,882795,-1,447019,-1,595584,233979,593745,114668,-1,-1,-1,45653,-1,-1,725154,-1,-1,458863,601080,746083,-1,-1,480345,-1,-1,38452,797437,946192,-1,-1,325727,-1,530983,872161,867503,833680,-1,328472,517546,470070,-1,100184,-1,815305,-1,-1,281244,-1,129230,-1,-1,-1,-1,598616,-1,246133,75084,-1,838855,-1,438747,-1,-1,-1,234767,-1,20374,164331,654112,-1,536532,292870,674653,-1,701951,499020,827475,-1,308791,-1,-1,425836,-1,-1,563811,-1,566772,455123,513479,-1,-1,-1,-1,627375,461742,797698,565819,-1,79027,848418,652682,-1,-1,757059,743471,494025,916556,-1,444044,40247,-1,814439,490843,269167,589617,-1,739850,-1,-1,586292,-1,-1,68619,165798,-1,-1,201236,-1,952379,237143,-1,-1,-1,-1,157359,899320,198466,353580,457791,911060,-1,50799,-1,957238,387981,-1,992074,480252,-1,105135,834576,-1,645730,16041,-1,467608,-1,479226,550386,-1,-1,239739,714572,-1,503751,56889,607877,502735,729750,-1,-1,-1,-1,106825,158821,-1,740043,-1,-1,79694,271271,620626,355023,-1,164042,-1,-1,194928,-1,681016,-1,-1,509054,-1,-1,100355,422360,226484,92923,836815,587483,-1,921490,300230,906380,785551,319304,-1,336404,822740,252089,-1,-1,767423,-1,-1,469553,-1,723996,-1,914796,818361,949950,-1,-1,362487,380058,-1,436116,-1,-1,106395,792685,-1,848382,423218,676223,-1,45026,-1,-1,683445,-1,-1,-1,723970,905645,796788,958038,-1,-1,-1,699671,387627,-1,986,913148,-1,36773,568391,-1,-1,67425,-1,688886,-1,566538,-1,447631,173568,-1,-1,715216,-1,-1,289924,276190,484018,943451,793007,341843,-1,348679,-1,792203,-1,651379,977308,-1,-1,-1,744297,-1,327146,10972,948112,-1,-1,390416,-1,876211,-1,464611,-1,586563,-1,-1,-1,-1,355950,661773,-1,-1,-1,-1,185801,-1,-1,-1,-1,-1,777397,785543,-1,-1,117203,-1,-1,-1,-1,-1,747147,-1,403726,599551,-1,-1,-1,434314,363445,452230,-1,-1,-1,-1,165513,610488,-1,47828,-1,-1,206664,745204,-1,-1,550436,446913,442484,293731,-1,196164,521,-1,23682,-1,-1,233179,-1,-1,-1,129867,20216,-1,157594,800523,-1,-1,284718,-1,309548,-1,792218,375239,-1,162383,415959,-1,-1,-1,189044,2432,482181,608526,416292,-1,-1,-1,-1,-1,365486,305896,-1,403421,-1,-1,-1,125440,-1,915841,-1,275726,-1,-1,518331,417901,847169,-1,-1,950052,472571,403703,738207,-1,-1,42177,931576,-1,860526,73810,-1,42171,456818,-1,187535,339410,376682,646720,-1,673587,-1,1704,-1,455707,579227,437440,290397,449885,812361,853681,-1,878859,-1,-1,667290,-1,-1,-1,-1,269450,957643,-1,-1,-1,-1,433941,-1,-1,337507,258949,-1,198581,-1,661437,630627,-1,544086,286140,880605,650204,-1,174784,-1,366428,-1,870665,400983,-1,937000,889736,-1,883235,772674,107086,423720,-1,-1,875264,-1,-1,809662,-1,-1,-1,986655,5704,-1,-1,169506,-1,-1,299575,798581,-1,-1,-1,503383,600177,528313,873135,-1,-1,-1,-1,211944,-1,-1,93168,968353,-1,381246,383060,-1,429882,579650,-1,553032,-1,-1,423530,-1,-1,-1,-1,352275,177283,-1,71985,-1,-1,117784,-1,405078,799960,176847,-1,290830,187390,-1,-1,981840,613301,-1,-1,-1,-1,-1,224135,-1,-1,195862,268135,814044,963557,61409,123194,521597,-1,908324,526282,783513,-1,-1,634306,-1,219326,-1,196777,976821,466033,284207,419812,-1,-1,-1,12725,265114,-1,-1,-1,255586,-1,691255,555793,713412,-1,817645,-1,-1,-1,480882,-1,959302,768465,-1,657617,-1,216271,-1,92394,-1,741861,-1,-1,-1,39124,547809,-1,-1,915347,-1,546697,75217,785742,-1,256002,966179,642894,-1,-1,-1,-1,-1,31688,551260,-1,201401,-1,-1,-1,-1,282514,-1,-1,351515,-1,-1,-1,360754,-1,587818,73496,771879,-1,-1,-1,-1,311529,-1,-1,72186,-1,-1,-1,-1,283193,216405,-1,-1,-1,943714,-1,585521,831884,-1,-1,-1,-1,378548,-1,-1,-1,-1,-1,995861,245616,311761,805495,-1,-1,-1,-1,-1,449923,-1,-1,-1,-1,198021,638099,-1,274652,-1,804740,618345,16360,226488,310767,-1,417775,-1,771813,99682,826514,473010,151183,-1,585590,378162,-1,299719,-1,605176,-1,-1,623109,265597,-1,-1,-1,-1,878314,183270,-1,981597,-1,447526,688941,995233,978510,-1,-1,-1,641372,-1,54065,704474,-1,908147,389766,35001,-1,-1,-1,-1,-1,416348,-1,-1,-1,404019,-1,-1,-1,465263,-1,923897,-1,-1,456480,-1,624361,-1,582401,-1,-1,858890,-1,-1,586985,887432,-1,546899,-1,520262,579558,347955,660896,688942,-1,504127,-1,-1,-1,426961,109896,604147,988185,-1,251399,-1,-1,245453,607641,-1,264699,918594,679460,942963,724372,537427,368977,986660,164895,-1,611865,-1,97174,127441,367046,-1,551340,108244,793420,373732,778000,875728,-1,274779,660623,-1,-1,-1,-1,-1,297125,-1,753162,874502,959033,-1,-1,-1,915421,-1,-1,123428,-1,-1,196590,106964,-1,72050,87008,-1,-1,-1,748605,636228,925037,691284,-1,680950,792390,-1,884947,594206,6723,-1,-1,251081,-1,291371,-1,770959,-1,343921,-1,161802,657176,425203,494172,336754,-1,439586,-1,9545,-1,297098,613757,13537,-1,314613,-1,-1,19483,-1,460935,-1,-1,-1,176243,-1,-1,-1,405868,-1,-1,503540,415981,-1,588687,-1,881439,529353,607417,-1,-1,134809,308445,-1,-1,-1,-1,-1,630313,-1,-1,90720,429606,857914,-1,851227,697662,317463,-1,111630,717364,734573,416956,-1,796153,-1,313589,280029,682903,634771,-1,-1,-1,-1,564258,-1,-1,570455,101373,-1,270892,-1,-1,522687,121975,-1,-1,514450,-1,-1,-1,-1,-1,419050,627743,333791,-1,-1,543471,64460,-1,-1,-1,-1,740434,-1,918888,132907,-1,-1,294008,957777,501222,264009,-1,-1,-1,952915,889621,671916,-1,-1,882369,-1,343211,577909,926804,40526,-1,-1,783209,122572,-1,340479,-1,-1,525994,467303,663422,-1,-1,468040,525535,-1,-1,-1,-1,799838,-1,517334,-1,-1,171708,430953,-1,-1,-1,677373,659847,-1,-1,-1,813597,-1,-1,-1,-1,-1,-1,242650,-1,321028,210098,-1,-1,735997,602550,734911,-1,-1,303729,432261,707400,488908,793227,-1,78890,-1,262820,-1,26203,888760,-1,-1,982428,920241,333404,822200,692311,808935,-1,942040,888618,279521,-1,-1,751110,665898,883735,33294,3933,-1,-1,-1,627948,225005,900487,-1,-1,236974,-1,-1,191403,875192,-1,922709,-1,-1,-1,-1,-1,-1,647088,-1,918389,370810,-1,-1,169034,718152,127976,224438,949822,-1,302899,-1,952966,283073,-1,-1,-1,989796,716053,24260,-1,581677,312704,-1,-1,-1,697481,797069,-1,35958,-1,95693,-1,-1,468563,-1,-1,-1,-1,-1,-1,-1,192993,906561,938754,-1,-1,-1,780266,959959,-1,-1,689850,-1,-1,-1,969471,704498,120276,984935,-1,975319,256163,577252,215341,559348,-1,668040,270249,454529,644715,881400,-1,746528,-1,-1,383416,639476,-1,769585,237621,783016,-1,596174,-1,103356,-1,-1,860839,-1,896854,874292,871765,-1,700857,804594,271654,928994,515418,508563,-1,184607,-1,-1,890633,554958,22150,69319,-1,360725,407329,-1,-1,-1,-1,884524,-1,213889,565367,305469,186998,442063,-1,595890,737577,-1,778494,-1,-1,487920,372199,395293,758628,-1,-1,-1,-1,-1,-1,-1,-1,-1,314166,-1,-1,673376,886709,536039,607611,-1,896527,-1,489375,-1,483201,318748,-1,976118,-1,-1,-1,434250,977339,-1,-1,-1,677698,498095,-1,294490,-1,759023,-1,-1,-1,-1,263899,-1,-1,970870,215135,255764,-1,-1,-1,-1,528654,975406,-1,-1,-1,-1,296572,946861,117911,464630,-1,945887,-1,307824,-1,-1,407735,978178,71012,-1,-1,-1,-1,-1,-1,-1,-1,-1,651046,-1,142335,-1,103332,648231,817143,-1,-1,-1,-1,-1,-1,277964,367818,232861,-1,398360,-1,991518,56905,388891,-1,-1,676395,211321,642545,-1,535811,323392,402384,244020,793415,321432,-1,704807,726054,-1,32941,391268,399705,724107,822259,-1,-1,445028,246883,631807,415503,924629,288919,739678,-1,783128,956321,-1,721645,-1,715373,-1,987279,167523,536580,-1,-1,245328,-1,-1,291909,-1,68048,769936,637868,-1,-1,41945,526385,340,52208,468736,-1,82971,-1,-1,-1,219501,-1,-1,-1,383855,353771,-1,835366,331498,-1,620454,834228,401448,502390,732656,101669,707530,505433,-1,4153,-1,-1,-1,-1,-1,-1,-1,665835,-1,-1,271247,828679,-1,814314,-1,-1,40828,745924,-1,-1,-1,-1,990095,183781,-1,429898,812146,338691,-1,792463,793163,-1,-1,543861,-1,306598,-1,945929,-1,659936,582492,769914,-1,290345,-1,13243,289800,-1,342437,137917,-1,-1,-1,225645,-1,-1,729690,-1,553724,489166,-1,360017,-1,-1,-1,452189,-1,-1,603214,-1,23007,221150,660072,-1,21807,298579,691233,410934,-1,-1,-1,714717,53340,774040,-1,760502,-1,-1,-1,253476,3204,-1,-1,71900,-1,868430,-1,872620,874405,-1,-1,806030,680102,-1,-1,368951,327964,768244,-1,879610,-1,969310,-1,366251,231473,612365,-1,914088,-1,-1,-1,-1,-1,-1,-1,-1,408741,-1,-1,684126,441947,813713,-1,316128,218094,41604,104055,11678,17565,-1,-1,-1,-1,406651,-1,-1,748444,332848,705735,-1,640749,479234,951784,889560,-1,-1,288102,42836,-1,305510,-1,-1,-1,-1,821962,-1,-1,120681,882921,-1,-1,-1,-1,1766,835169,-1,570513,-1,-1,-1,127337,-1,-1,843750,-1,-1,538356,410086,244069,248417,-1,122521,-1,872691,660261,924757,-1,127490,-1,-1,502588,616854,600490,509222,965986,932879,-1,-1,462768,745032,971606,724690,-1,-1,-1,310899,424206,130455,-1,641502,489404,-1,496114,-1,-1,-1,-1,644539,-1,-1,-1,-1,-1,-1,366115,-1,855176,-1,58525,65994,-1,491812,983920,598492,-1,-1,-1,-1,-1,-1,-1,-1,337128,-1,462914,-1,-1,401076,739085,888837,-1,206776,-1,-1,438637,688718,-1,885959,907765,-1,-1,-1,480689,474074,-1,-1,-1,237134,-1,372442,868805,-1,985182,-1,-1,-1,-1,-1,52497,-1,-1,174434,-1,-1,698401,367070,82611,733526,683674,907783,211293,986915,-1,-1,543075,127094,-1,-1,-1,61027,174961,726361,505478,192280,327506,-1,-1,505561,-1,44522,600259,-1,-1,918394,-1,-1,-1,-1,510778,-1,-1,853171,569513,-1,577056,-1,-1,-1,-1,-1,448420,-1,-1,-1,-1,3721,-1,576548,435722,271593,741007,-1,259302,941054,207237,-1,-1,767109,604261,535277,-1,838511,71149,773567,-1,578572,-1,-1,-1,266056,-1,290843,-1,319711,507965,-1,448964,-1,142913,256443,-1,-1,-1,-1,447832,-1,157897,-1,396978,-1,129285,-1,871470,-1,-1,819742,93578,815198,-1,150278,960855,356699,-1,-1,300804,-1,679739,-1,-1,640411,156023,-1,140592,-1,977183,882723,-1,675677,42327,-1,125760,-1,173066,-1,-1,663113,927789,-1,228213,344055,-1,831537,-1,-1,213948,-1,-1,-1,-1,-1,-1,803076,-1,-1,725238,-1,34176,-1,-1,137048,240867,-1,620732,-1,-1,165911,-1,-1,811505,-1,-1,151745,311392,-1,-1,-1,822534,258784,-1,3248,224483,293608,747666,-1,939752,-1,411334,847755,860843,538342,266317,612951,412029,-1,-1,-1,860883,598933,-1,-1,970928,293943,732513,56538,480564,-1,169862,-1,904174,-1,892855,-1,-1,542982,836389,202346,-1,-1,572248,572895,921550,645204,-1,-1,-1,696433,436323,-1,980644,-1,277540,695462,239749,-1,344860,-1,-1,-1,518355,-1,442335,945637,805211,344667,-1,-1,598744,-1,-1,-1,999345,948290,-1,-1,785546,569218,893764,-1,-1,-1,360483,-1,-1,-1,-1,487346,283819,275574,405451,-1,-1,-1,-1,-1,-1,547223,296297,-1,178137,521634,-1,309885,-1,753266,-1,247536,831486,-1,691083,-1,-1,557422,-1,-1,-1,245279,-1,263985,-1,-1,-1,68845,661627,-1,69193,-1,-1,581540,-1,872558,384491,18160,705669,-1,-1,-1,28370,-1,482665,801931,-1,5023,561594,-1,-1,-1,49398,-1,-1,926882,-1,829357,201615,924213,189581,660582,-1,289,-1,-1,-1,-1,604808,-1,393019,631488,-1,758781,249782,-1,-1,231807,-1,-1,489541,256438,942159,224315,-1,962172,702691,-1,434243,-1,875110,-1,274021,-1,-1,120506,-1,239996,103535,-1,-1,-1,856780,-1,924046,-1,-1,-1,-1,-1,133792,716442,25065,-1,865482,198677,28910,29301,-1,-1,-1,659265,-1,-1,295190,-1,-1,319630,365311,726469,-1,-1,-1,-1,888996,316941,-1,736772,-1,19580,218056,889427,-1,-1,745083,-1,404407,718822,632294,840439,278978,-1,192338,-1,549117,906054,939963,-1,-1,-1,544048,-1,471481,-1,-1,459645,171713,-1,373282,-1,-1,581297,52170,362933,-1,957407,-1,-1,-1,-1,-1,322594,565192,-1,-1,-1,-1,656619,-1,-1,70202,257868,-1,139957,-1,473504,-1,-1,180213,-1,-1,-1,958971,268763,-1,95407,469965,507401,636893,835188,-1,-1,-1,730318,394627,303685,-1,-1,887339,663376,-1,-1,471649,-1,-1,338788,-1,361709,20307,11458,-1,-1,592952,73706,928211,-1,-1,112115,182009,741210,-1,-1,846934,182484,628799,514094,995782,64911,-1,313537,622058,780189,773931,996418,207290,144869,958148,27739,-1,524081,-1,565490,-1,-1,-1,905771,530869,841780,962782,-1,-1,193162,265198,-1,114954,802798,-1,-1,799675,329479,49574,895406,308295,-1,59631,-1,893243,401050,-1,332174,-1,11199,231892,-1,764603,610594,639408,908914,841793,767213,-1,818007,-1,-1,58065,-1,781978,752186,241138,260099,-1,-1,32202,968701,-1,711913,899777,88033,-1,-1,-1,427601,-1,307106,91711,172553,366022,987004,-1,968102,-1,-1,-1,205020,-1,-1,323901,-1,746758,-1,-1,-1,49856,42917,554419,251950,691623,544778,51664,122622,-1,657563,-1,-1,-1,-1,-1,-1,508588,-1,-1,-1,925371,-1,-1,-1,-1,-1,894481,-1,83338,-1,-1,-1,533774,-1,594290,-1,-1,937671,-1,762573,-1,109506,76413,830240,-1,14326,818703,-1,277050,-1,372373,-1,612484,494681,608530,-1,-1,275117,401379,-1,401162,-1,-1,970101,-1,-1,966220,-1,-1,303690,693210,316179,-1,633659,-1,910639,986204,-1,536971,-1,794323,490716,175079,-1,-1,-1,222023,-1,-1,-1,-1,-1,232878,-1,631058,-1,-1,-1,-1,-1,-1,-1,294209,351851,477571,-1,856257,746661,735801,802404,519980,-1,600873,724941,-1,265537,594970,343531,90010,-1,-1,545056,702252,-1,-1,95013,-1,-1,132994,-1,697987,-1,870480,-1,153756,239295,530543,-1,304570,863598,-1,-1,-1,-1,-1,-1,670260,314105,732225,479265,264431,510844,259350,471668,-1,-1,-1,215490,834596,-1,573178,-1,920947,-1,914557,856584,-1,-1,770315,-1,116348,424144,15600,-1,-1,358196,-1,-1,-1,554146,-1,425946,-1,-1,-1,-1,-1,185797,-1,-1,-1,-1,-1,-1,-1,278298,-1,-1,-1,-1,626107,-1,-1,767194,446543,-1,-1,312733,-1,506645,-1,435967,678595,-1,-1,-1,95516,810235,860264,-1,276499,-1,423263,-1,463138,644594,37969,-1,542257,267873,-1,-1,-1,634993,-1,593598,-1,689073,-1,-1,24852,852938,877263,61462,-1,380956,-1,566197,980893,-1,477952,-1,671746,-1,395258,525411,-1,296430,559821,-1,-1,-1,-1,988827,-1,-1,989906,-1,-1,31513,-1,-1,-1,-1,424528,-1,-1,265005,263339,-1,-1,-1,827575,972439,261929,-1,-1,625734,645627,297867,-1,695506,8558,347928,828966,531009,-1,41564,-1,-1,236805,195477,943301,785903,988880,-1,-1,339841,665481,255430,163934,-1,-1,-1,373184,-1,-1,769702,-1,-1,606254,-1,645396,-1,543514,352503,-1,-1,-1,-1,-1,77437,-1,606738,431978,218882,362485,158810,-1,-1,137127,102468,-1,78759,-1,462719,-1,630186,-1,-1,440811,618760,581010,590813,-1,-1,-1,-1,-1,238364,-1,869263,377722,-1,-1,-1,393189,-1,911936,923677,355810,471973,-1,617540,-1,-1,-1,721733,402214,-1,-1,-1,322821,-1,600118,465068,-1,-1,-1,-1,-1,-1,745056,-1,501340,726222,596297,-1,743644,133352,-1,487557,-1,674951,-1,716707,913899,-1,-1,927970,-1,102780,815885,429462,-1,-1,374279,590415,-1,-1,-1,295965,-1,907493,12002,839810,806765,-1,536085,-1,1335,670662,-1,601631,587872,-1,281251,9836,-1,-1,186069,699786,-1,328255,-1,442595,970591,-1,-1,866701,202139,235463,851226,968993,-1,-1,-1,-1,-1,65485,-1,-1,-1,-1,-1,-1,778594,313790,80586,-1,-1,-1,-1,-1,498829,561998,576405,-1,-1,-1,-1,833270,-1,-1,653367,101242,-1,-1,614701,522308,-1,968474,-1,66879,617234,-1,326548,790918,-1,-1,-1,267564,-1,39306,-1,-1,-1,-1,798442,246658,80916,407438,-1,-1,361706,-1,135410,547790,111187,-1,33425,-1,-1,-1,-1,641416,-1,-1,584105,-1,925702,160651,837113,683036,500747,-1,-1,550391,-1,562193,153644,-1,54944,766043,-1,-1,-1,268656,155810,762034,-1,957462,876955,-1,322692,-1,-1,-1,256368,606514,-1,-1,213425,643984,-1,92434,252519,789034,-1,853803,262381,-1,107558,-1,589871,-1,-1,-1,373252,-1,-1,-1,-1,528129,-1,-1,175990,46753,-1,190980,970812,-1,166356,30420,566468,-1,-1,-1,-1,26196,-1,74848,-1,710397,41526,205608,783254,704219,-1,-1,-1,-1,-1,-1,558768,196432,-1,738725,-1,846784,530735,844378,-1,-1,588028,302222,-1,55067,768134,395992,681132,-1,656114,-1,-1,833908,955330,-1,-1,603242,-1,770913,166168,-1,-1,-1,999490,374335,-1,203999,891883,453046,705251,-1,586981,302553,995294,498826,711557,461803,282968,824332,660212,-1,-1,-1,77939,79554,523484,253421,-1,-1,235078,-1,-1,-1,717514,702060,-1,-1,-1,-1,366021,-1,-1,-1,2097,963654,933877,-1,707689,-1,-1,161358,-1,-1,-1,-1,656679,497514,-1,65208,-1,-1,-1,-1,899589,-1,347147,-1,-1,-1,806235,939605,404494,756245,-1,-1,-1,109954,-1,-1,920126,-1,-1,773117,448326,-1,579251,763145,-1,642568,-1,-1,-1,298299,598158,873842,657629,-1,-1,336935,-1,965570,125265,-1,432417,650420,524505,-1,-1,-1,862897,307896,-1,483461,-1,-1,-1,-1,-1,706727,-1,-1,-1,-1,740140,384209,536168,264276,-1,145543,990917,552426,-1,-1,-1,-1,133803,562229,530341,-1,823236,-1,-1,-1,768178,-1,534627,-1,713025,262065,-1,-1,-1,257934,-1,518193,-1,879877,992352,-1,-1,379149,324585,616701,706730,-1,-1,-1,30118,721482,-1,-1,-1,950682,-1,425491,292747,-1,-1,621920,881438,393261,-1,-1,530446,-1,-1,-1,472379,-1,-1,-1,-1,498975,257625,575571,783349,519004,408259,926116,859571,15740,-1,-1,-1,-1,-1,-1,866593,-1,-1,351815,654941,-1,-1,-1,351706,-1,-1,794713,-1,-1,695660,-1,488598,-1,-1,60163,-1,461035,469086,-1,-1,236045,390714,-1,-1,9823,-1,-1,26452,799425,452429,895566,-1,919764,-1,637299,-1,328863,-1,984464,998245,-1,-1,-1,565683,-1,427641,-1,669397,-1,909620,-1,-1,937466,713226,-1,-1,-1,152477,372825,-1,-1,-1,-1,-1,657447,-1,944339,532379,-1,-1,998096,-1,180694,712130,-1,307364,-1,213082,-1,27754,448723,411593,-1,34164,287477,-1,715308,686942,-1,-1,873571,-1,-1,259327,-1,-1,-1,-1,-1,712933,718581,862811,377048,115664,-1,850646,-1,-1,618950,-1,627155,604701,-1,614335,25161,212037,-1,126882,-1,908891,-1,-1,-1,-1,-1,113687,424975,-1,-1,865657,-1,902699,208890,813451,374900,654186,829430,650740,315965,-1,93215,696828,293501,-1,210057,-1,-1,-1,423060,-1,98666,-1,-1,477201,546105,-1,-1,-1,-1,661393,-1,508990,-1,-1,-1,-1,-1,-1,-1,236573,161434,702700,-1,930050,534375,-1,-1,299110,879719,697033,5446,217239,-1,-1,-1,-1,521991,513898,658654,-1,-1,-1,915247,334402,-1,-1,49480,-1,543767,312044,-1,-1,922207,900618,-1,-1,-1,-1,-1,-1,546807,-1,-1,-1,-1,394285,517998,-1,478200,349755,-1,-1,-1,557399,925976,-1,-1,570876,-1,329283,-1,235572,-1,-1,41927,723564,-1,294918,-1,-1,736973,-1,616289,646070,525232,-1,-1,38477,973806,-1,44203,-1,894186,791492,228494,594846,756632,160455,631999,-1,-1,-1,958818,838453,-1,565775,487376,-1,3170,-1,-1,872707,937990,-1,-1,-1,700155,881177,412465,549418,424316,350355,-1,-1,-1,863375,-1,-1,217285,-1,-1,-1,-1,-1,-1,577066,621206,-1,-1,-1,-1,623260,-1,-1,685246,665947,-1,-1,298340,589364,-1,229747,-1,300455,-1,-1,116053,-1,-1,306530,406048,-1,690149,-1,-1,61890,-1,-1,-1,-1,-1,723413,500774,283102,620108,-1,-1,-1,-1,370022,870574,241887,574146,232870,771930,106650,-1,-1,243137,-1,701440,-1,-1,-1,71475,-1,874893,-1,813577,420216,142321,307572,-1,526476,-1,-1,528199,535933,718849,528023,530842,449091,-1,419960,683744,257636,26369,-1,497094,787452,-1,-1,-1,687701,791877,-1,-1,377518,358574,-1,-1,-1,-1,914457,-1,-1,-1,650961,517793,-1,730475,-1,-1,-1,-1,-1,-1,-1,852516,-1,939257,459618,-1,48546,-1,-1,-1,-1,-1,-1,252453,-1,310984,420830,-1,-1,-1,71336,-1,852310,-1,-1,489947,248584,808749,-1,901423,437663,-1,-1,304460,249136,836200,-1,764537,-1,839058,80823,-1,-1,397122,-1,204152,-1,-1,27707,-1,-1,-1,382542,67000,616537,294389,817498,-1,-1,-1,-1,87680,-1,-1,626792,330955,-1,-1,-1,-1,-1,846836,-1,448631,-1,148451,-1,-1,6686,369987,610237,478471,107516,352814,-1,-1,2246,-1,983143,-1,-1,-1,-1,561778,743102,875496,168925,-1,-1,878432,831095,681081,104796,60885,-1,141286,-1,481148,215320,-1,-1,-1,-1,-1,825437,160832,37586,471230,-1,-1,-1,704492,-1,141125,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,118259,152887,-1,549220,-1,-1,567582,-1,-1,585502,-1,-1,-1,-1,358083,-1,-1,-1,270527,795051,704808,-1,389522,972865,789982,-1,-1,220054,-1,-1,930711,667079,727628,286529,808863,-1,-1,611942,-1,333537,416257,-1,992009,831513,229669,-1,-1,884142,-1,148564,957559,395650,-1,629651,-1,-1,525615,-1,-1,-1,-1,-1,813149,82508,-1,-1,959668,-1,-1,411046,191380,-1,72098,-1,-1,-1,52303,890860,-1,-1,-1,696091,-1,955926,601657,702892,-1,192422,366941,610085,521059,937218,395009,-1,752981,99224,347694,528045,-1,-1,866800,-1,743951,431575,-1,707532,-1,64295,647515,-1,995320,-1,-1,-1,13611,-1,-1,-1,737267,-1,-1,-1,898356,-1,-1,807148,393535,-1,-1,-1,-1,298850,-1,44259,-1,72348,21504,-1,342717,-1,-1,-1,-1,589916,-1,-1,56941,635236,454113,-1,-1,203071,285219,581421,556885,-1,-1,-1,-1,754352,-1,-1,693196,-1,-1,-1,436822,625620,-1,-1,-1,591073,-1,109754,636311,-1,428463,549096,-1,949870,456423,361969,924853,86207,945086,-1,928735,505122,36766,278657,468859,837084,-1,460087,-1,375812,177210,-1,-1,503692,-1,567237,862299,70944,-1,-1,-1,87162,-1,-1,575373,-1,-1,-1,-1,506889,377933,882085,-1,799853,570853,580901,456491,976535,537772,41008,-1,226588,143174,396015,952723,-1,-1,645490,905388,-1,829972,859261,66457,236158,218610,-1,201102,-1,-1,213194,-1,-1,-1,-1,-1,-1,653693,876266,487930,-1,131052,-1,222188,839940,-1,774019,29278,482393,14340,584900,268880,-1,252022,705979,105570,-1,542317,956777,104980,-1,-1,-1,711991,-1,834143,949289,313437,28884,782096,393811,-1,305926,508685,-1,718646,646251,-1,443558,-1,-1,329038,-1,48994,661066,-1,-1,-1,-1,355993,587256,303183,-1,384738,-1,-1,983214,-1,-1,-1,-1,-1,868098,631755,905740,79339,267622,356715,-1,-1,598412,-1,-1,-1,-1,-1,-1,-1,-1,-1,292217,551934,-1,-1,-1,618005,-1,-1,37068,-1,-1,475402,262086,186801,419806,-1,990114,836124,-1,819215,724869,990483,243113,790641,83661,38813,-1,968661,973030,709529,-1,555562,520741,-1,-1,-1,-1,525141,-1,-1,-1,387410,509721,-1,-1,-1,-1,-1,-1,-1,-1,888441,803206,237603,966464,-1,191354,29499,-1,-1,-1,-1,301994,-1,-1,-1,74148,582270,-1,421432,-1,-1,-1,-1,475111,-1,-1,-1,-1,-1,-1,-1,-1,589611,266135,220027,820565,35510,628089,-1,-1,559544,967894,-1,273220,219905,991843,529161,-1,996321,712177,-1,673080,-1,-1,428836,-1,46585,938544,-1,-1,-1,94702,-1,-1,-1,-1,-1,-1,276972,-1,-1,-1,-1,608602,399524,756404,66790,-1,-1,396382,3435,-1,95543,987720,973865,-1,-1,318165,681008,964097,434567,582026,782355,-1,151616,-1,195339,-1,279305,959419,-1,174304,848293,33700,429113,581809,-1,-1,931488,-1,-1,873216,950774,769453,-1,155231,-1,-1,102986,-1,556101,-1,668914,987513,-1,509474,-1,-1,-1,984491,-1,-1,-1,24700,-1,-1,896002,30989,-1,-1,241045,643935,-1,761656,-1,255977,166431,-1,-1,944010,1317,-1,627586,824809,-1,107430,521341,5006,299598,-1,-1,-1,-1,123545,911892,-1,-1,-1,-1,887793,-1,75282,562461,494842,412375,206868,-1,944003,461569,-1,310810,193119,-1,-1,542484,41470,597233,657780,259559,605582,403349,-1,447023,690754,637644,780283,-1,812431,-1,-1,-1,569356,419913,-1,651501,-1,435437,-1,261118,843062,151854,-1,-1,-1,-1,-1,-1,932013,725022,-1,754,292667,809481,-1,-1,546593,-1,58972,282740,921258,903132,288820,123492,572649,-1,929522,-1,-1,-1,-1,-1,972731,684107,410996,-1,-1,-1,51313,-1,-1,-1,727896,-1,573973,166132,541530,-1,807548,-1,-1,300012,-1,679912,-1,931830,617535,38567,15205,193526,-1,584414,-1,-1,-1,321698,-1,-1,-1,265874,-1,889802,-1,-1,-1,683608,237504,-1,-1,-1,-1,-1,-1,405431,-1,-1,-1,-1,117833,-1,303597,-1,819819,-1,-1,-1,-1,215117,515034,-1,-1,532055,901397,417739,500797,229822,-1,447818,-1,400796,278178,-1,897559,-1,-1,68865,-1,491265,-1,444229,369393,-1,952117,204324,-1,49450,-1,-1,-1,460658,-1,-1,-1,698690,-1,-1,541649,-1,553652,-1,-1,-1,833730,-1,-1,57328,-1,-1,635891,-1,-1,354873,782064,467603,208693,-1,-1,238185,452890,945873,982409,894300,997367,-1,560765,750553,-1,255088,701528,-1,-1,-1,350075,636785,-1,801474,408773,-1,108331,-1,259678,440343,80667,399529,-1,676532,469451,824015,6694,584364,-1,-1,-1,-1,372163,995051,-1,-1,364996,825168,96859,-1,-1,-1,-1,954538,283277,-1,386442,-1,772901,-1,543181,-1,723381,579957,228122,22010,461796,268870,339440,453892,145298,104411,-1,480179,-1,30343,717510,-1,897215,967729,-1,-1,359897,9801,245793,-1,-1,754428,-1,-1,-1,-1,109024,373116,-1,698385,-1,996700,934245,-1,-1,-1,-1,917960,-1,445572,270054,224835,-1,-1,-1,365200,-1,291235,-1,-1,-1,199980,322439,-1,-1,-1,920785,-1,-1,955066,289527,590208,-1,47050,-1,155325,444878,-1,-1,-1,-1,-1,-1,412738,163762,-1,-1,897629,843590,-1,87333,-1,776740,-1,-1,-1,687824,-1,-1,63897,-1,-1,747074,213186,325435,-1,170233,-1,-1,398657,-1,-1,333780,-1,308340,-1,-1,-1,858509,24457,-1,-1,390762,-1,-1,-1,-1,738682,-1,834196,132177,-1,-1,-1,-1,863596,-1,847410,-1,-1,-1,-1,-1,569742,-1,997515,519120,404132,-1,191973,575096,794127,539176,-1,-1,500699,-1,860697,432760,163591,124184,648847,245230,-1,-1,-1,-1,151485,-1,-1,-1,-1,-1,-1,686513,-1,-1,-1,-1,972409,-1,215046,-1,-1,-1,-1,482003,365329,860909,-1,226696,972763,-1,-1,529866,-1,-1,185339,53928,896504,-1,966001,-1,-1,-1,214473,219153,-1,360778,611852,-1,962816,463613,-1,-1,299631,990676,-1,-1,-1,389960,38915,-1,288856,-1,148485,92494,-1,-1,-1,-1,-1,822943,-1,-1,-1,334031,-1,-1,-1,-1,-1,20921,135195,-1,-1,-1,741751,742829,801909,-1,812031,-1,911985,-1,290371,-1,-1,991903,-1,-1,318933,-1,658719,30858,215380,837920,-1,659219,-1,-1,-1,-1,-1,-1,-1,948515,763343,323129,470493,-1,-1,-1,-1,929818,-1,145228,-1,870861,-1,579617,-1,-1,-1,-1,818673,334978,592876,437659,-1,-1,-1,107531,-1,331599,2690,-1,870886,-1,731041,750071,-1,-1,-1,-1,-1,762350,-1,905987,461557,481227,585273,-1,117382,328085,159029,77475,-1,-1,196506,-1,983091,-1,-1,-1,-1,704275,409632,1844,156951,91899,-1,-1,-1,-1,543207,-1,-1,22997,-1,-1,-1,187411,394975,-1,-1,392387,772647,-1,3924,-1,-1,-1,-1,962847,-1,929345,-1,-1,-1,225177,398736,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,646725,-1,604867,-1,395338,247641,505213,612189,150819,287648,596815,891470,375093,-1,-1,115513,54163,-1,710116,345810,-1,843393,-1,628531,-1,-1,201471,-1,702532,-1,-1,247861,-1,74018,955581,32046,974131,-1,882923,897725,868866,-1,-1,349116,28185,-1,424918,57528,383548,880335,-1,-1,770934,608200,57980,431888,128457,-1,-1,-1,-1,-1,308956,-1,-1,-1,362716,531984,-1,-1,788266,-1,-1,144698,924328,830826,531010,704420,-1,883930,-1,831614,-1,-1,99696,229506,-1,339022,916235,-1,-1,-1,-1,-1,141938,665150,749161,-1,583291,112557,720615,-1,253201,-1,-1,-1,179478,341523,-1,492663,717421,676533,257094,472907,-1,-1,65850,-1,-1,-1,579313,959195,-1,883821,423241,-1,-1,-1,180636,63818,755105,-1,-1,594189,681167,923243,-1,-1,-1,-1,-1,-1,-1,749183,-1,398508,164172,134358,-1,-1,270575,-1,154807,-1,-1,50227,306763,-1,117571,3807,524461,41552,977711,-1,-1,825089,-1,-1,-1,-1,-1,-1,517643,-1,381515,798504,-1,-1,355396,-1,156511,54133,72590,570269,-1,629627,515472,-1,-1,938311,-1,302235,395895,31238,900922,-1,-1,703718,-1,966729,-1,928506,-1,717332,464817,-1,8684,558159,-1,889373,779650,-1,546233,-1,190328,-1,-1,-1,369373,896077,-1,-1,308703,92515,-1,-1,-1,-1,-1,546964,164188,896657,-1,-1,-1,318497,290727,909788,765551,-1,-1,-1,-1,975484,286053,157987,-1,474044,922018,736928,-1,304970,314682,398382,914885,109739,-1,985673,-1,-1,-1,-1,712804,-1,889603,-1,258926,-1,783096,-1,-1,528463,75440,-1,693450,446216,779464,902411,340636,-1,-1,-1,28514,-1,189836,-1,864466,827291,348877,669679,680296,-1,-1,663042,715183,-1,-1,721967,-1,-1,-1,-1,-1,828895,-1,-1,-1,-1,802622,400005,448273,107590,-1,-1,-1,815431,-1,-1,285988,413388,-1,-1,344522,-1,-1,354119,-1,-1,399411,-1,-1,96527,-1,810368,6298,649834,-1,-1,-1,507380,753406,859486,-1,859040,-1,-1,821453,-1,-1,36981,169422,287361,-1,-1,-1,-1,-1,-1,945805,-1,230345,-1,978033,-1,-1,-1,-1,-1,-1,581991,-1,585881,-1,279016,-1,-1,618684,-1,-1,993830,-1,413615,683796,-1,-1,968177,919459,-1,-1,174732,-1,17811,738645,347596,-1,-1,441993,-1,-1,-1,168514,-1,-1,-1,-1,37818,723313,-1,559063,-1,-1,710681,678473,389501,156709,-1,-1,406814,344878,-1,-1,-1,-1,430380,-1,864480,-1,646982,227183,-1,-1,675835,-1,-1,75397,-1,672852,771889,238279,-1,949869,738361,-1,-1,-1,-1,-1,-1,154320,-1,754949,-1,-1,-1,-1,-1,356085,417774,222513,-1,-1,87182,-1,345083,-1,-1,792980,-1,629542,906146,683777,-1,-1,429915,262208,191652,366305,-1,711393,-1,904882,-1,-1,587992,909970,672759,-1,548224,264563,162434,-1,292683,34802,933584,397632,-1,440280,258942,-1,764244,-1,-1,-1,497785,671653,-1,-1,-1,85717,545020,204476,677320,-1,357752,-1,-1,260412,-1,945606,-1,797858,-1,708905,745932,566242,-1,765197,-1,-1,700439,-1,-1,-1,-1,-1,-1,-1,-1,815718,-1,882732,958265,363667,589163,-1,21680,-1,-1,901301,-1,377580,580220,373886,-1,18630,-1,429117,-1,577293,-1,580486,806419,-1,791624,223532,-1,-1,-1,17845,129447,-1,58410,119920,684696,-1,337309,-1,-1,430125,809522,-1,-1,714240,-1,-1,865507,-1,-1,629700,992933,624391,-1,66027,628160,781122,368663,899079,-1,-1,-1,714517,902242,-1,-1,-1,186114,568292,29071,-1,723296,-1,-1,-1,-1,-1,518565,-1,345608,834059,-1,-1,846370,614943,866710,-1,138721,-1,-1,590202,768611,808247,-1,908978,-1,508,-1,-1,994184,-1,-1,985892,-1,-1,-1,14107,-1,211561,-1,908853,836673,-1,244915,384878,-1,586431,184999,649732,304248,978639,-1,340663,-1,804017,-1,419837,30591,-1,-1,-1,131216,-1,792808,819487,775024,-1,224388,-1,-1,-1,205582,-1,-1,415550,-1,659738,-1,941186,282880,308214,543982,-1,-1,571048,914307,-1,-1,971678,-1,-1,421702,765779,-1,902443,480140,569205,21727,561734,-1,723311,-1,128342,356766,451733,-1,-1,148726,-1,589356,-1,-1,823164,936262,-1,203388,-1,-1,46164,-1,-1,319272,128597,405261,781264,3031,-1,-1,-1,-1,308044,432279,-1,285464,660423,-1,992282,252445,800915,-1,620933,-1,-1,386940,15738,703445,-1,-1,626824,-1,-1,-1,-1,584501,996709,467481,371121,34443,440728,670048,852122,-1,642116,622718,-1,-1,710795,227035,149881,-1,731812,-1,-1,-1,-1,-1,80232,-1,-1,-1,558979,744120,-1,728708,667761,-1,-1,-1,559953,-1,988965,185237,585918,173830,-1,-1,154207,-1,-1,183023,64088,474519,75845,-1,-1,291646,-1,385802,-1,-1,-1,-1,-1,252660,226714,335173,-1,-1,980882,814645,-1,595747,394430,-1,358706,-1,820826,-1,-1,-1,646539,332495,435792,-1,678090,695920,92753,294658,980386,564032,-1,542260,805115,-1,874302,-1,796553,-1,671417,-1,704881,-1,952809,833837,703814,-1,-1,743518,453874,63214,-1,614498,143986,-1,-1,-1,-1,258108,517874,979066,222159,-1,464917,-1,-1,-1,-1,285093,-1,978597,829082,373213,740619,-1,-1,-1,-1,-1,-1,698657,-1,817748,-1,-1,787205,78728,939156,646700,613946,-1,-1,738102,-1,338472,-1,804654,-1,413775,-1,193337,-1,957659,-1,-1,-1,-1,-1,-1,-1,572792,31983,682354,-1,22786,-1,988369,617725,848163,-1,474715,-1,953288,232949,623454,573203,-1,894820,625970,-1,336089,870631,365837,-1,928146,276947,-1,825855,421445,-1,506087,761368,-1,554541,943234,-1,870824,841267,-1,-1,187537,-1,-1,-1,693580,-1,979961,-1,-1,126939,428850,236133,751527,-1,-1,424881,431685,-1,-1,510647,430688,-1,810375,-1,467240,619142,-1,816559,-1,-1,-1,472072,294865,504596,-1,-1,-1,-1,798312,-1,219720,43089,-1,-1,-1,-1,-1,-1,383919,-1,-1,-1,53643,-1,671293,712988,300290,-1,950967,-1,-1,233986,-1,-1,-1,865463,319339,22363,920723,3366,516804,165279,-1,-1,567095,219974,387743,9474,982564,-1,-1,356065,-1,-1,369059,474547,-1,651154,103288,-1,96706,-1,91094,-1,-1,-1,-1,15289,-1,82115,618017,-1,-1,-1,671075,-1,789382,304274,598567,-1,511508,650178,460736,-1,-1,-1,-1,986180,-1,465074,-1,837422,-1,555030,-1,780045,-1,-1,800498,-1,927259,701124,-1,373824,1476,-1,569754,-1,-1,-1,-1,824182,-1,308280,-1,450108,745668,-1,-1,703977,-1,-1,-1,-1,-1,-1,-1,-1,424855,-1,400402,975884,885682,900960,-1,883850,-1,855782,-1,995573,-1,-1,-1,571745,315902,346684,623566,44995,-1,468629,346723,71885,-1,469856,-1,-1,-1,-1,-1,416961,626443,79913,-1,822298,601190,-1,756504,-1,-1,407142,825542,-1,-1,-1,269035,275267,936131,657484,927136,765664,537401,-1,-1,873050,584973,957250,-1,-1,-1,639273,374535,-1,-1,-1,530165,-1,-1,-1,850264,602320,698601,299932,660204,993154,-1,112637,-1,439906,486796,25647,524130,-1,18848,952027,553595,278330,774502,577826,948211,348485,-1,808245,733614,536523,-1,-1,-1,694168,-1,38176,689207,-1,-1,86967,-1,834393,-1,-1,368425,-1,-1,-1,404249,-1,-1,214198,590148,100824,878519,246254,-1,-1,-1,298310,290848,-1,510109,352684,552471,635398,-1,800832,-1,881819,-1,-1,-1,-1,-1,-1,735749,439585,-1,-1,-1,637746,-1,-1,17904,729147,-1,335179,-1,336272,-1,25947,-1,234479,-1,-1,560959,-1,-1,-1,-1,601980,-1,834754,-1,-1,-1,-1,520504,-1,-1,61191,911798,-1,801974,-1,-1,825081,-1,-1,-1,-1,987956,848388,53308,848742,-1,333140,253121,315943,800213,825285,-1,-1,-1,-1,524255,-1,878632,-1,586652,-1,-1,-1,-1,-1,470895,968228,-1,-1,118775,-1,-1,-1,-1,944885,888445,-1,266582,713148,388560,-1,587407,-1,566614,731810,894628,105607,182197,-1,707471,564470,584755,-1,-1,889944,684776,486073,707085,-1,-1,-1,-1,561928,293316,-1,940118,365405,-1,870114,806936,504976,-1,-1,589222,-1,-1,-1,-1,-1,113957,-1,714095,951031,757462,-1,-1,-1,308056,723034,609827,869906,-1,516043,386544,-1,144009,-1,758120,-1,515795,-1,147075,-1,-1,-1,24779,563302,-1,-1,458749,-1,-1,892299,-1,7728,435703,375585,234927,-1,-1,-1,723965,-1,-1,-1,70582,-1,-1,-1,-1,-1,-1,794862,211453,-1,-1,128567,-1,680675,57089,66835,175864,261250,-1,-1,222682,-1,-1,-1,-1,-1,-1,-1,-1,221270,-1,75011,-1,-1,438349,244305,-1,960004,-1,-1,57986,-1,393359,-1,502220,401067,74643,549458,-1,168256,68328,-1,-1,69492,-1,291507,-1,-1,589326,-1,-1,-1,490148,-1,836411,429858,-1,-1,739918,-1,219208,-1,-1,-1,-1,-1,146998,-1,27917,705900,828005,592585,-1,894246,72121,281191,-1,-1,530594,-1,795362,325526,-1,-1,672584,399328,177262,447571,54114,-1,-1,-1,-1,-1,123756,-1,-1,-1,427765,157704,-1,-1,586107,822265,375776,1600,-1,57261,795680,-1,-1,-1,-1,70304,-1,-1,965983,-1,-1,-1,188032,-1,-1,645082,983156,-1,174403,-1,-1,-1,-1,147359,587370,-1,351520,422024,-1,345769,-1,601432,-1,-1,-1,978089,50199,839798,-1,-1,-1,-1,279841,957481,744421,534107,454842,-1,345543,922355,-1,101914,-1,780464,-1,-1,-1,-1,920529,442650,205133,964120,-1,-1,-1,-1,-1,600815,-1,-1,971166,-1,-1,-1,-1,-1,-1,-1,-1,-1,434944,369677,-1,482690,398814,-1,-1,689557,-1,-1,189440,643531,284419,186277,-1,971996,-1,-1,-1,-1,58666,-1,557437,-1,-1,392397,-1,117745,280170,-1,864617,465608,867297,313588,815282,7599,-1,495967,-1,337044,-1,-1,-1,51658,239873,307081,-1,-1,-1,643629,-1,-1,-1,-1,-1,500957,-1,199757,-1,757605,833453,334494,-1,-1,-1,312630,100546,133462,330493,978408,-1,-1,-1,-1,886918,789156,-1,-1,-1,-1,-1,-1,856935,-1,946127,-1,-1,506930,514723,-1,-1,-1,739336,-1,834557,572142,-1,696506,-1,965078,-1,486513,-1,-1,-1,-1,592699,-1,612732,533918,154112,808823,208129,-1,710979,-1,120903,-1,620207,952830,-1,114027,841673,-1,-1,14604,573483,-1,-1,14217,738931,191161,468969,866792,-1,28337,595652,866559,273780,-1,392886,-1,477607,952166,708766,539808,97488,-1,-1,485712,454791,801199,293636,713644,-1,-1,165545,-1,436965,-1,13386,-1,-1,460553,-1,75458,-1,563646,571390,-1,-1,503928,253684,-1,-1,-1,801163,678719,-1,-1,837016,343332,-1,534944,450426,-1,117036,821092,-1,131442,-1,-1,481390,-1,452043,-1,280103,-1,545130,268105,-1,497830,286369,698040,-1,981850,426218,-1,-1,-1,688995,204937,-1,-1,-1,-1,925062,415830,155416,100728,-1,749983,778638,898509,866327,838041,-1,394658,-1,783278,-1,-1,109471,-1,-1,-1,401974,252912,476577,-1,499870,-1,-1,-1,758877,-1,-1,339583,127353,-1,420184,784048,867963,98688,-1,-1,361308,-1,534205,-1,237388,870828,-1,387598,-1,-1,41831,705459,775309,52659,-1,-1,671163,291437,730181,785093,-1,965333,-1,864939,-1,-1,926097,937612,568554,-1,-1,-1,-1,-1,287523,271843,-1,-1,-1,-1,-1,-1,-1,673398,486492,-1,314393,-1,865277,-1,-1,-1,-1,838915,207730,847861,762676,-1,-1,-1,-1,-1,290621,-1,369939,331547,31256,2177,925920,-1,684145,-1,-1,756752,-1,-1,330508,729303,344740,806237,-1,-1,997915,743380,688686,10790,-1,363903,49859,827348,-1,-1,-1,-1,673430,-1,873159,-1,162609,-1,-1,-1,-1,270421,843423,638052,-1,389853,-1,-1,686500,432450,-1,-1,440476,-1,-1,-1,681106,-1,-1,692212,-1,-1,613886,813297,71399,216564,86689,-1,810688,854267,-1,-1,-1,-1,640966,-1,451555,290413,-1,-1,128959,252177,-1,-1,-1,-1,-1,-1,161505,17337,681833,461231,688701,-1,-1,872769,58162,14687,851348,-1,880526,-1,447931,432772,-1,325849,890138,-1,855804,-1,815627,509280,242137,613136,878043,831802,16532,-1,427879,-1,387937,-1,904744,729811,671847,-1,-1,-1,860194,-1,707781,340036,447590,-1,-1,670230,557217,28962,-1,-1,-1,-1,-1,168284,452446,-1,425200,308043,-1,-1,954429,-1,672613,-1,493197,165225,446732,899256,831775,347026,318633,-1,-1,341494,-1,515040,348537,-1,354417,669806,348502,-1,-1,-1,908362,99834,222951,-1,-1,-1,864259,-1,-1,-1,-1,-1,-1,15628,784616,-1,700053,163856,-1,-1,-1,-1,554731,-1,-1,51961,-1,659494,-1,745892,389635,-1,-1,860400,-1,347374,-1,512688,396455,772936,349995,589440,169097,874689,327685,-1,960241,199778,98782,-1,-1,826920,327411,-1,690574,-1,818057,283706,-1,-1,67692,143119,746078,-1,118638,940379,-1,-1,671037,734467,385387,833347,-1,918469,-1,-1,366664,878087,-1,277802,937305,361502,906262,45460,-1,-1,90577,378936,796765,-1,717913,-1,-1,-1,-1,133260,737796,352398,-1,-1,-1,418582,197522,-1,-1,-1,-1,-1,409145,175965,-1,902057,107976,-1,941010,102669,-1,565016,966630,-1,509324,880216,101301,-1,-1,894905,161637,-1,-1,-1,-1,539805,211460,524019,-1,655554,-1,354490,627479,-1,-1,432432,205849,152305,-1,841471,-1,-1,256494,976237,695785,184486,225424,958773,156269,430613,397834,-1,956170,-1,815016,984114,313109,-1,438533,801364,609274,-1,680641,18725,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,80670,-1,-1,-1,-1,-1,-1,-1,-1,142198,-1,159850,909483,-1,758512,7603,442844,773813,-1,-1,548581,-1,-1,-1,-1,-1,-1,-1,-1,136298,643913,164532,598156,-1,537165,-1,646241,837804,-1,-1,-1,98704,-1,-1,-1,181558,-1,-1,338899,478672,244873,677034,-1,-1,843486,968933,-1,-1,669584,864265,-1,492534,-1,293791,300963,241122,-1,667090,-1,-1,956374,627427,-1,567471,-1,-1,980443,251134,-1,-1,900742,-1,790847,-1,960466,-1,74233,-1,589989,-1,-1,787692,544653,720966,703524,-1,568371,466525,-1,216,-1,268388,-1,-1,176521,294947,-1,-1,-1,30402,87545,681551,-1,-1,277615,653780,297325,-1,-1,-1,-1,-1,561060,-1,781521,-1,901522,-1,888562,678132,-1,739501,-1,402189,-1,-1,-1,110535,423425,252226,-1,548944,-1,-1,-1,910591,-1,440961,676356,807966,160861,14046,-1,503949,641985,-1,619140,-1,624013,574831,158816,-1,191832,550706,7496,-1,218853,198572,-1,209475,-1,-1,147522,-1,317247,-1,626856,540586,-1,-1,-1,439940,396311,-1,275116,-1,-1,-1,-1,-1,-1,187996,-1,-1,-1,-1,621907,-1,-1,-1,-1,-1,199109,921536,-1,-1,-1,-1,188432,-1,-1,610228,-1,-1,617633,-1,-1,-1,-1,969942,-1,-1,-1,78010,-1,311375,-1,-1,-1,959848,345039,382929,686353,600163,-1,-1,880666,579614,952588,-1,-1,339548,-1,708668,398133,23193,-1,799704,141559,583151,-1,580997,-1,164019,-1,355978,366110,804532,-1,346061,-1,78178,-1,-1,-1,699180,118421,-1,-1,-1,987355,-1,873655,322365,404762,-1,762956,71339,225686,-1,-1,-1,844648,-1,341542,427821,624560,-1,148673,135798,701252,-1,-1,46425,-1,495518,918843,183311,60690,100946,-1,156620,252050,-1,-1,808432,-1,252184,-1,331366,371684,331973,978515,774214,-1,-1,233203,261476,-1,27200,-1,-1,907372,-1,-1,-1,-1,-1,801607,354320,-1,-1,-1,-1,-1,905141,-1,-1,-1,175881,-1,-1,-1,238116,38811,614109,30938,-1,-1,170910,145488,-1,-1,359743,566910,-1,800070,-1,-1,-1,101194,873239,-1,936270,-1,-1,-1,-1,255763,93730,950077,-1,-1,477818,621777,276851,-1,-1,379238,452214,-1,803795,849248,-1,-1,457333,-1,-1,-1,507044,466854,338180,499328,-1,-1,-1,-1,-1,557715,-1,306248,-1,246825,-1,512720,35007,887377,968332,401083,-1,249691,-1,-1,722838,-1,-1,410538,559622,-1,-1,-1,-1,898349,-1,709648,-1,484478,786902,261990,637942,952883,-1,601150,-1,-1,-1,-1,-1,342224,123495,-1,852771,48199,-1,-1,-1,-1,-1,-1,421108,-1,157904,996043,-1,591292,159827,748733,-1,-1,-1,181596,-1,447536,273823,-1,350410,484124,-1,235882,-1,524054,-1,-1,-1,166530,950631,-1,-1,-1,-1,449981,436303,801849,372056,961783,876546,748569,-1,-1,-1,-1,-1,547487,-1,66630,642306,-1,-1,422243,254774,347597,-1,-1,-1,-1,-1,-1,120353,231584,147481,341417,781048,-1,453585,169039,263803,-1,-1,-1,-1,723598,420497,398872,691122,-1,-1,262549,981352,357586,-1,-1,-1,-1,49471,59693,-1,75643,-1,-1,-1,-1,-1,973108,-1,-1,842795,-1,-1,276507,261752,931729,801851,-1,-1,-1,865100,-1,280073,483988,891599,-1,455567,95099,-1,-1,-1,91831,-1,-1,-1,-1,755240,-1,-1,-1,751679,430057,961712,997238,-1,290089,625290,-1,174637,-1,542913,454556,12582,389819,-1,-1,-1,580256,391260,-1,-1,455834,226101,-1,459431,531602,275906,708734,-1,199128,-1,-1,926435,87479,269338,-1,-1,-1,237197,-1,43270,610691,-1,348950,-1,462950,429964,-1,219667,-1,-1,-1,670387,694673,603755,524444,70657,-1,-1,412773,798955,649223,367878,-1,-1,-1,7739,-1,-1,-1,-1,291908,915302,644989,-1,908589,-1,799771,-1,-1,66963,-1,843810,-1,873512,-1,566030,-1,719945,389131,-1,-1,279916,-1,-1,719581,315337,-1,921692,644768,364206,751759,-1,875060,-1,-1,-1,487821,225750,60288,-1,392246,874143,-1,782207,79064,-1,-1,-1,-1,-1,173862,430813,234689,996590,-1,676209,584624,144655,392407,354978,93823,-1,210866,133658,354509,-1,-1,-1,659458,951533,-1,-1,215466,768529,-1,-1,-1,-1,421267,150690,-1,399545,-1,71268,15679,801070,691089,-1,-1,-1,289775,-1,-1,-1,572940,-1,-1,97597,-1,-1,319270,-1,327886,-1,768615,-1,196119,-1,-1,239706,-1,-1,-1,283323,-1,-1,-1,-1,742193,-1,-1,-1,860204,907789,441301,-1,979327,699613,734747,728749,859140,833724,-1,645030,967283,-1,675110,356145,199152,439950,-1,-1,-1,-1,-1,-1,112842,-1,508336,-1,-1,735476,-1,-1,-1,-1,-1,-1,826942,-1,340018,532122,565004,-1,-1,104619,-1,-1,525021,209693,-1,-1,897913,429323,964994,689099,162873,116080,857335,-1,444535,-1,167206,893075,-1,-1,-1,-1,-1,-1,434440,901917,649840,651191,195524,805481,-1,577238,-1,556999,43947,883871,149146,-1,97380,-1,-1,40453,-1,203387,393191,-1,-1,837363,-1,2528,-1,390079,-1,856484,402882,942933,-1,-1,495710,-1,-1,876645,-1,114785,489573,191207,948718,-1,411804,643514,-1,-1,-1,-1,956605,329137,-1,891986,-1,-1,-1,-1,-1,-1,809843,-1,315511,-1,-1,-1,141005,-1,-1,960985,-1,-1,-1,-1,835149,727390,225500,-1,681118,-1,-1,269816,-1,70373,825284,-1,-1,-1,136098,65891,790963,394291,-1,-1,495180,-1,-1,-1,-1,-1,-1,871216,-1,79228,-1,-1,543322,755534,-1,244974,-1,-1,796810,499509,148559,-1,142248,-1,-1,456352,934482,-1,634744,-1,-1,-1,539853,-1,48833,-1,-1,-1,-1,-1,815903,570799,264937,-1,-1,-1,-1,32188,172127,-1,-1,225180,-1,-1,257557,-1,-1,-1,-1,115615,293511,-1,609278,-1,537932,-1,-1,-1,515185,-1,-1,-1,212838,295715,258502,-1,791088,162868,-1,-1,-1,448878,-1,336711,-1,538818,346821,450035,-1,-1,-1,53460,361675,188156,-1,141504,-1,157763,-1,-1,-1,-1,-1,536994,-1,895092,-1,-1,510761,-1,805868,-1,338313,299740,-1,-1,587784,-1,895961,368568,520661,-1,-1,244960,879632,-1,-1,217026,-1,532183,253905,753919,-1,-1,544934,741635,-1,-1,640174,-1,660712,-1,585626,-1,555877,-1,330444,75094,274592,605105,899884,126800,-1,-1,951077,830304,-1,933232,591649,646202,-1,322135,-1,-1,671801,-1,-1,785250,195560,-1,-1,704585,-1,41885,-1,-1,703496,987946,779443,-1,-1,-1,-1,-1,272486,-1,129127,341712,-1,248330,-1,40297,-1,-1,-1,-1,2037,-1,-1,-1,-1,985871,-1,366734,534214,692272,759869,-1,205878,619402,550081,-1,343761,379824,677094,352777,-1,211972,-1,240218,-1,117809,908553,-1,-1,813595,292410,-1,-1,-1,966120,783531,-1,518674,124169,454644,165977,-1,-1,415595,-1,-1,-1,-1,558718,67578,903790,-1,-1,-1,-1,521675,199196,-1,-1,-1,-1,-1,-1,-1,-1,-1,246477,-1,875745,-1,323307,955030,88986,279780,-1,794172,-1,-1,-1,-1,488547,-1,-1,584365,-1,494389,554371,-1,487211,472565,344243,502766,-1,-1,465541,379441,861454,-1,671337,967544,-1,121105,852175,577333,328155,-1,-1,123733,-1,-1,832117,209362,630652,-1,-1,-1,804544,940187,-1,720066,-1,-1,488768,590049,54059,-1,-1,-1,-1,767766,138308,-1,345800,74875,-1,253916,531547,612421,319518,-1,959265,-1,985936,-1,-1,-1,650113,152931,959317,456776,-1,-1,-1,-1,380251,-1,-1,-1,800927,-1,967085,-1,-1,-1,356967,799236,356055,-1,-1,-1,-1,-1,-1,634942,178502,-1,891414,543268,564124,538315,264313,793242,75390,33207,886314,735430,605561,-1,131978,293355,526749,-1,-1,925651,-1,814629,327705,-1,964469,-1,-1,-1,-1,-1,46188,-1,486025,414949,461528,-1,132810,-1,-1,843063,452984,-1,-1,249523,845068,553875,82344,271890,579924,390260,961900,522655,-1,591648,136765,446550,-1,107682,689963,-1,724844,628465,169828,-1,159463,552580,964183,-1,339897,552928,-1,-1,-1,-1,-1,78736,333581,940427,702694,-1,-1,-1,494090,-1,819123,702623,-1,-1,62893,9712,-1,188119,605056,-1,-1,-1,256249,202622,985947,279416,429669,-1,-1,-1,-1,872644,-1,663328,-1,-1,733976,-1,-1,640075,567470,-1,-1,175859,-1,-1,422101,-1,-1,-1,218098,-1,-1,-1,723985,-1,324451,-1,-1,452781,990792,-1,-1,-1,-1,-1,-1,-1,-1,-1,736705,899733,59820,-1,-1,-1,-1,-1,135629,-1,-1,-1,174791,510523,150667,-1,520976,549312,-1,634763,-1,-1,785015,744982,399294,87920,-1,594505,676437,457956,-1,238490,-1,-1,995122,987718,-1,-1,90330,-1,-1,-1,550344,-1,317691,316285,83330,905980,-1,-1,400365,-1,-1,691749,248464,-1,407285,750029,-1,-1,-1,-1,120189,535464,-1,-1,-1,357431,210077,237307,-1,-1,-1,-1,-1,-1,102931,-1,-1,302642,897875,966181,551613,-1,-1,668680,-1,-1,378652,-1,-1,366064,824933,-1,-1,-1,-1,-1,181841,-1,750430,594452,530085,757011,-1,385436,-1,-1,-1,-1,959737,-1,-1,-1,-1,540451,4692,-1,-1,-1,973596,831008,360775,-1,615363,-1,444973,-1,839339,281289,-1,-1,483503,714962,528661,-1,-1,-1,-1,-1,778287,815667,533692,-1,191572,561805,-1,-1,-1,893093,326270,-1,-1,453579,78009,666007,511988,90231,116130,-1,-1,-1,351964,-1,647588,-1,-1,432683,831948,45255,-1,-1,35015,-1,777327,-1,745540,-1,938428,48252,849996,757671,-1,-1,-1,-1,275427,390820,-1,-1,-1,-1,518182,-1,526196,554845,-1,452853,-1,663048,666245,-1,804045,492005,-1,-1,-1,-1,27642,-1,517256,-1,162475,-1,-1,288223,999066,523705,838036,942505,590895,-1,-1,-1,-1,-1,-1,-1,239089,209790,-1,875512,408663,770258,-1,227818,664927,712535,-1,-1,828617,943271,-1,-1,438554,20866,-1,-1,-1,595977,26641,937784,805777,465579,518613,-1,-1,-1,120084,-1,259214,735413,414128,474270,885076,-1,-1,722368,314993,-1,500875,664970,-1,473968,861122,16480,758038,-1,938206,-1,228191,-1,-1,744814,627264,59142,-1,-1,538193,-1,427677,913859,419203,182275,-1,-1,-1,-1,298829,198079,-1,-1,297735,-1,-1,182344,-1,-1,-1,427777,-1,-1,431154,-1,-1,-1,600009,-1,-1,811945,-1,-1,391141,-1,-1,227046,-1,-1,290430,883153,-1,-1,349964,-1,-1,-1,430947,65857,-1,46377,-1,-1,779286,484629,472126,955225,-1,-1,-1,564712,-1,578863,800872,839866,169889,-1,-1,112374,-1,-1,517925,348585,899383,-1,-1,-1,81795,172031,-1,-1,877944,851867,412895,-1,-1,-1,86851,-1,-1,22949,-1,861466,-1,-1,297808,-1,-1,484845,-1,-1,157069,518198,538310,613560,552695,-1,-1,496875,321052,518723,-1,677540,272209,-1,-1,-1,737101,-1,-1,-1,-1,335481,-1,-1,91450,408281,517085,846585,-1,-1,520098,-1,-1,98585,652033,-1,346621,-1,-1,393808,-1,272174,-1,-1,907798,678663,-1,539835,-1,178523,619483,220694,-1,-1,-1,-1,-1,-1,563752,317238,914135,506879,-1,406760,-1,-1,408922,371432,907550,-1,-1,392619,730323,-1,-1,639631,-1,117474,-1,-1,-1,513064,453828,747138,995870,-1,-1,461323,578495,-1,-1,-1,-1,195304,382615,-1,-1,987455,-1,574183,678985,188452,249177,-1,284982,37758,916673,-1,416156,290042,-1,196439,-1,-1,815225,701182,-1,36940,530139,-1,-1,172350,-1,943831,-1,264229,-1,259173,429682,-1,30073,174129,457888,-1,-1,565461,85754,-1,132104,346389,-1,4786,144255,89377,357593,728765,-1,211814,347742,17249,156095,772208,959495,-1,117935,-1,867925,333957,976761,-1,929698,-1,-1,-1,-1,-1,490381,732418,-1,246314,357222,98263,-1,353429,-1,-1,173931,-1,-1,-1,829768,478302,-1,872921,-1,699329,250152,-1,891485,26961,139562,638370,-1,341952,846012,-1,753409,344895,863109,1887,914862,-1,172480,-1,-1,952062,378726,-1,-1,-1,-1,-1,530591,220346,-1,-1,150001,-1,969573,952895,-1,-1,638516,476825,886922,837594,-1,84584,99317,269594,845245,-1,-1,-1,-1,688062,835387,-1,359732,51963,-1,385981,-1,370011,-1,423467,-1,-1,-1,738664,-1,-1,501329,569819,-1,213381,-1,219465,-1,374004,-1,463394,89595,822130,-1,-1,88508,-1,333012,-1,-1,963718,457387,90307,716550,-1,-1,108319,-1,-1,580001,833742,361758,110129,-1,-1,-1,-1,-1,-1,-1,-1,553906,389594,-1,763154,-1,-1,-1,-1,-1,406900,-1,228956,-1,211048,789381,89205,-1,135141,-1,684834,17767,-1,-1,-1,-1,-1,-1,495929,952716,-1,-1,-1,-1,-1,-1,-1,1955,-1,-1,615018,647072,-1,789019,683273,641270,693454,368902,121941,-1,641660,269825,-1,343841,-1,-1,391043,-1,666109,-1,-1,-1,-1,851191,756809,524690,-1,682219,842045,-1,578874,617402,-1,-1,-1,-1,-1,-1,56679,-1,139771,279290,-1,-1,-1,297788,-1,835081,-1,-1,-1,-1,-1,365357,662675,-1,72409,388479,-1,130307,-1,455384,142528,-1,619134,-1,-1,-1,-1,-1,-1,-1,-1,887127,39415,-1,-1,674495,592073,-1,693160,-1,-1,296735,-1,296361,135989,437310,240342,317314,827190,260315,-1,-1,903668,-1,-1,461930,-1,11768,-1,-1,747883,282917,-1,152493,10247,540240,525408,328330,-1,-1,471441,-1,596404,-1,-1,-1,-1,-1,160391,271961,868962,-1,340152,-1,456376,-1,-1,953356,-1,-1,809417,-1,989387,583796,193706,731379,411651,530581,204738,-1,946870,27557,-1,-1,-1,405111,-1,279845,-1,-1,-1,-1,940744,885054,-1,372709,-1,284025,849991,150177,926869,-1,-1,-1,-1,-1,702328,-1,654239,561350,-1,486979,219311,-1,-1,605867,755840,219042,654078,524529,-1,583833,-1,-1,169465,-1,111718,168809,-1,-1,-1,183998,366359,-1,771980,68289,-1,533392,673851,-1,456809,-1,961679,517846,-1,-1,-1,-1,-1,21780,-1,917469,-1,-1,-1,317848,854934,866584,954897,801543,-1,-1,-1,-1,-1,-1,-1,270094,-1,787266,-1,-1,-1,-1,-1,-1,6400,-1,-1,875649,-1,-1,353234,-1,817429,442975,427958,-1,129063,151433,-1,-1,-1,219572,787947,-1,-1,-1,-1,-1,59394,-1,292732,-1,-1,-1,27567,530299,718057,-1,-1,340607,-1,887161,96558,922598,987039,-1,-1,-1,-1,-1,724178,-1,-1,242228,450959,-1,-1,-1,45812,-1,-1,-1,644670,-1,-1,677497,-1,672528,859674,-1,-1,-1,-1,-1,-1,50691,-1,-1,885045,794917,896819,260313,18039,13548,-1,-1,855158,-1,-1,-1,-1,618994,-1,-1,-1,950875,764251,714296,-1,-1,-1,596587,-1,128180,467840,-1,-1,783123,523319,-1,-1,-1,458234,-1,743415,768356,-1,-1,-1,-1,733838,875362,-1,-1,-1,-1,873074,70679,-1,204351,825977,-1,420837,41708,584603,612717,-1,726308,605207,-1,-1,-1,-1,-1,922867,470267,-1,106445,-1,-1,-1,704183,833746,-1,964996,43037,113832,-1,-1,-1,540033,472154,-1,-1,-1,226562,148163,450629,188132,-1,-1,453002,-1,-1,-1,-1,458511,274191,843726,258827,511114,-1,-1,421761,33639,-1,-1,-1,-1,-1,333097,-1,957323,-1,-1,-1,-1,-1,259783,627436,-1,790859,310609,245211,-1,495363,-1,555943,-1,-1,585165,372127,-1,86130,288824,-1,969829,662435,-1,205500,635431,587350,-1,-1,472432,859052,901184,-1,-1,940632,-1,854285,-1,-1,-1,479198,532851,-1,862218,-1,-1,-1,-1,-1,336916,223422,-1,-1,-1,495841,250093,397633,-1,-1,12176,-1,-1,813199,352641,561977,725652,-1,69437,155262,-1,-1,-1,-1,643910,812726,636357,-1,-1,-1,-1,421991,133621,833272,858428,504792,265648,11026,243293,319941,651796,-1,-1,-1,-1,518779,724454,-1,-1,14467,-1,896925,198918,-1,-1,-1,392183,-1,-1,769135,-1,599575,-1,983101,-1,332191,80040,-1,780750,381959,-1,914211,-1,341004,-1,-1,-1,294591,-1,384980,423782,-1,-1,276150,492623,540824,-1,139719,651531,441263,431370,-1,858621,-1,-1,-1,319888,-1,281337,-1,45031,-1,777771,499371,-1,-1,121648,784405,601769,988273,837352,576832,21342,-1,635242,24548,-1,-1,-1,-1,636472,-1,860603,658269,981089,-1,-1,504161,-1,480122,138041,-1,-1,509361,-1,-1,-1,-1,-1,157573,8664,452007,-1,-1,79900,267528,-1,-1,107800,390577,445499,-1,-1,-1,318896,-1,223765,116063,74092,-1,508220,-1,-1,701685,-1,10811,391703,-1,-1,775732,-1,-1,-1,372845,750148,-1,-1,-1,616112,-1,-1,119780,-1,371523,-1,163304,-1,-1,-1,-1,139768,-1,42790,-1,500728,-1,594095,364413,-1,-1,827117,177921,-1,389582,782309,847729,-1,-1,-1,-1,-1,-1,196405,57352,398506,745236,90098,797,46669,-1,-1,-1,-1,672136,-1,456814,-1,-1,-1,371476,140768,-1,86258,-1,-1,-1,440602,250947,134275,619500,317320,368717,-1,-1,180164,-1,-1,-1,-1,910686,224427,-1,-1,-1,-1,-1,-1,254468,820625,736945,367037,-1,-1,711040,468156,-1,306987,-1,-1,-1,-1,-1,909717,-1,723334,95422,-1,-1,-1,-1,-1,-1,-1,394165,832069,874868,949209,-1,-1,915004,558228,-1,-1,997737,324601,635415,-1,678668,-1,675654,377950,543664,926252,913894,-1,315831,-1,-1,311058,142958,-1,785508,562818,-1,588620,397117,740265,-1,60616,-1,929951,104927,-1,188652,-1,599666,124686,793018,322158,-1,553999,-1,-1,243174,-1,-1,-1,27274,212486,-1,-1,672936,-1,672614,273439,379151,193928,-1,-1,596733,-1,264965,-1,494944,713349,876218,404064,-1,-1,-1,-1,255623,-1,-1,802958,-1,-1,-1,782478,-1,-1,466921,-1,-1,-1,729158,-1,-1,538791,120096,-1,626452,224382,602766,909362,-1,-1,-1,-1,-1,-1,-1,925079,938810,623130,-1,-1,892377,-1,-1,-1,713285,-1,-1,772949,-1,998606,788310,220789,48399,273716,163910,323156,-1,565418,-1,-1,-1,217628,-1,-1,-1,804752,563695,304734,225064,-1,274448,276632,-1,103285,-1,76001,10403,-1,556117,-1,-1,66090,-1,-1,553142,378970,866507,-1,484779,331455,-1,382174,-1,-1,673305,534036,593488,334218,670310,-1,888625,924675,-1,247101,-1,789593,220938,916702,-1,-1,-1,683737,188870,-1,-1,-1,-1,-1,499058,263153,116014,411638,-1,114783,928562,709488,-1,293431,828977,891179,565037,-1,-1,452353,167473,681711,794344,162759,-1,-1,-1,-1,-1,343487,-1,-1,-1,154483,917837,-1,619813,-1,-1,-1,-1,-1,646515,754689,919651,-1,331979,548100,-1,-1,-1,-1,943088,660743,122061,-1,721690,-1,-1,900895,-1,-1,-1,-1,-1,424296,890081,41942,-1,93226,-1,-1,395736,-1,814087,-1,-1,-1,605425,-1,915258,103862,851056,851953,84915,138735,-1,364243,796691,-1,-1,-1,619757,176748,-1,-1,757400,-1,826455,-1,309168,-1,-1,601978,-1,727696,649631,-1,141483,337353,-1,752694,-1,298996,-1,-1,702287,699410,402961,-1,328404,-1,232771,-1,650166,625741,759747,-1,547273,355563,-1,11773,214259,823116,-1,592035,-1,-1,-1,72204,-1,611963,-1,-1,-1,218731,-1,802741,88017,404013,959698,229746,531942,-1,-1,-1,-1,-1,544055,-1,415893,657743,-1,-1,460482,-1,-1,-1,-1,190612,-1,839138,-1,735433,-1,-1,926979,735556,-1,-1,830832,-1,-1,195774,-1,872944,263836,190303,72415,932189,473492,-1,-1,-1,780631,936488,-1,-1,-1,-1,-1,-1,-1,136718,789219,578106,-1,967657,482519,-1,-1,-1,-1,720270,-1,-1,-1,-1,627582,544589,330671,526327,-1,273410,-1,-1,-1,-1,-1,220062,521455,669972,248438,-1,874903,981023,920955,-1,-1,-1,-1,-1,-1,631350,468233,846437,176373,-1,-1,-1,-1,-1,29651,-1,630482,141437,-1,-1,67356,199287,-1,-1,-1,706251,-1,322755,227605,-1,-1,116073,-1,626084,-1,-1,310891,-1,-1,-1,-1,-1,616270,316655,-1,757276,952234,-1,962003,-1,-1,-1,-1,-1,-1,-1,-1,-1,534769,-1,-1,741105,372770,703630,803005,-1,-1,-1,-1,268332,-1,-1,-1,264794,-1,-1,-1,-1,783514,-1,618970,-1,-1,-1,-1,-1,-1,-1,-1,291152,477045,861385,-1,-1,80913,365634,-1,651975,-1,-1,-1,885209,-1,407623,-1,516550,680431,794047,-1,68012,867535,695095,-1,-1,-1,-1,-1,-1,-1,-1,924013,323939,308393,425712,-1,-1,-1,919503,425167,882169,-1,-1,168406,934320,341046,695060,-1,-1,-1,129204,-1,-1,-1,263486,991910,183165,371473,381923,236127,550542,-1,582891,21199,161554,-1,190385,-1,827700,999632,-1,512571,647730,-1,669274,791980,481948,684344,425635,-1,-1,79671,-1,-1,-1,-1,-1,-1,-1,-1,719547,-1,309109,-1,-1,-1,545629,-1,505926,426666,-1,-1,175968,-1,481432,33683,594860,-1,331821,-1,911399,363120,-1,-1,-1,-1,539441,435238,973172,924522,-1,234920,-1,-1,260917,231864,86577,162246,-1,-1,52470,858828,39684,-1,72845,553943,-1,872299,-1,668497,837732,-1,-1,-1,503073,880475,27381,358629,-1,-1,-1,693166,575027,705874,614769,-1,940795,-1,-1,591401,754787,-1,-1,780127,487590,703744,614483,-1,-1,601483,-1,811472,-1,459030,915413,327665,-1,-1,365905,569262,664055,443227,-1,-1,79169,-1,74350,-1,-1,-1,-1,-1,209608,143109,131386,-1,607843,-1,-1,745205,-1,971553,66709,-1,-1,107851,-1,-1,447471,190292,-1,-1,-1,-1,-1,-1,703207,-1,507677,-1,157105,-1,-1,-1,872625,328915,223960,616440,-1,-1,-1,-1,68981,354605,184930,775619,-1,663987,485206,-1,518449,952795,272011,440326,456226,-1,750000,248268,978942,146977,-1,867599,713222,367261,-1,940229,-1,-1,492474,845762,866325,-1,-1,597173,-1,334736,-1,-1,-1,515250,250727,-1,-1,-1,-1,-1,449479,-1,759265,528346,-1,-1,-1,-1,593109,-1,-1,-1,560841,-1,768646,-1,-1,838114,-1,576953,-1,-1,706327,79067,-1,427646,-1,-1,-1,-1,813925,354333,237360,283847,-1,195314,-1,324007,126551,839179,786002,-1,-1,-1,291881,-1,917700,306561,-1,-1,-1,534346,997337,682280,770895,792337,839935,-1,-1,731887,212650,642574,-1,726736,-1,211701,666448,-1,-1,291060,-1,963055,-1,-1,276401,778347,-1,-1,-1,-1,935800,346521,-1,213235,-1,226515,843406,-1,191081,-1,-1,-1,-1,-1,384147,-1,-1,-1,-1,-1,48263,-1,142785,152846,283439,987957,-1,828670,-1,-1,-1,570290,65636,397482,431149,-1,433867,-1,192198,735043,644838,883053,845880,739750,-1,597437,-1,924240,881778,-1,-1,-1,-1,300250,-1,-1,895817,156654,-1,-1,-1,830998,606181,-1,-1,314771,-1,232067,-1,249520,-1,-1,277275,899588,400461,707754,-1,-1,128034,561506,-1,77180,-1,205073,372512,460377,809524,-1,-1,935335,-1,-1,-1,-1,-1,-1,614296,-1,-1,-1,747309,975436,200844,-1,742320,882615,439572,143758,-1,-1,699650,-1,-1,381891,-1,160894,656573,857222,771984,333977,-1,-1,13164,485859,752191,-1,-1,-1,305775,-1,-1,-1,694019,708934,89910,-1,543906,187746,-1,744301,-1,-1,-1,-1,539201,-1,-1,935438,-1,-1,914023,144650,-1,546396,310621,-1,920189,-1,-1,-1,99464,-1,825569,321684,873173,-1,-1,779846,-1,-1,870770,-1,-1,-1,98813,-1,82222,143080,478783,-1,74626,-1,363313,-1,220963,374117,-1,966883,-1,155812,910127,-1,935876,-1,90044,756388,493034,-1,-1,-1,57151,-1,-1,-1,924438,206180,-1,-1,686755,562772,-1,352508,-1,222823,438381,-1,-1,680773,-1,-1,-1,801450,452507,307063,-1,-1,-1,109205,681886,538656,-1,-1,435223,89799,324106,-1,426358,410468,-1,706835,-1,808985,-1,-1,119869,589245,-1,899822,-1,332376,162612,-1,-1,687708,-1,269845,469166,248956,867780,-1,-1,132838,-1,807466,723820,768421,264481,-1,847462,-1,-1,529814,309475,-1,-1,-1,988321,517264,-1,497980,-1,-1,900747,-1,-1,927458,163537,-1,-1,-1,202203,-1,-1,-1,850030,-1,325099,-1,718298,147620,-1,-1,727387,-1,-1,-1,850398,-1,-1,-1,-1,617131,-1,-1,126032,692887,971867,-1,-1,-1,-1,189978,931303,249654,-1,-1,838931,-1,-1,-1,-1,-1,661753,-1,-1,-1,-1,-1,-1,643405,-1,723379,175961,-1,44337,189700,36710,180174,-1,-1,-1,-1,36286,-1,573788,344530,150094,109578,-1,80332,907968,201531,996799,138120,881489,-1,994545,216163,885001,193157,739892,-1,34866,-1,587894,653967,-1,-1,-1,-1,784348,-1,172083,-1,-1,431362,803489,830018,475080,767284,597335,-1,-1,-1,906126,-1,-1,-1,-1,392587,-1,-1,-1,404713,-1,856199,627873,529291,-1,493119,-1,575719,-1,765893,-1,95165,-1,-1,401255,307006,499480,995775,626499,501308,207253,688960,-1,845087,-1,176242,665838,809742,36897,-1,-1,436816,-1,-1,-1,-1,-1,192506,-1,774689,-1,511788,563312,932018,882725,862074,-1,-1,-1,178345,296697,-1,503781,91272,-1,-1,-1,998852,26901,768031,-1,322451,769699,270273,-1,362081,-1,-1,-1,189776,-1,886984,27691,-1,600464,440642,-1,-1,-1,-1,937976,707145,556942,621604,-1,383352,312264,-1,918375,676546,83946,-1,-1,297660,372812,-1,-1,706704,-1,-1,42963,749957,291765,-1,117758,24280,-1,-1,-1,186468,997264,-1,-1,333234,893449,583346,-1,925441,-1,-1,-1,-1,-1,737661,-1,-1,991722,-1,61278,985764,-1,948825,325101,891832,716747,670285,276031,-1,-1,-1,62007,383303,305113,-1,-1,-1,376935,560141,-1,-1,540215,641337,11122,832267,850239,225918,-1,-1,822116,-1,141736,502432,-1,-1,370766,-1,-1,932544,865283,988010,-1,-1,-1,328799,502425,619996,-1,986815,250096,-1,10651,688588,-1,7964,318389,193329,194302,-1,48315,-1,-1,-1,-1,229180,764885,-1,961920,-1,-1,-1,991289,-1,181813,-1,-1,999417,-1,-1,656900,-1,739994,780378,735848,955610,-1,-1,475816,102165,-1,-1,-1,71186,-1,790107,710679,431900,-1,471370,-1,388546,648470,814852,594871,-1,-1,-1,-1,-1,599550,962798,812690,-1,-1,-1,-1,22065,88734,-1,-1,194475,462063,-1,912667,-1,362545,112704,669267,183130,-1,-1,763351,124240,-1,-1,-1,-1,-1,897125,159266,275940,541940,-1,-1,-1,-1,892479,811766,-1,-1,954177,878147,977815,-1,101982,-1,-1,-1,-1,776661,344283,-1,-1,-1,-1,497302,862535,-1,965119,612816,9040,-1,-1,896413,-1,282389,-1,-1,-1,828751,315383,-1,-1,996346,847923,-1,-1,187771,-1,378414,-1,-1,-1,110545,-1,268684,941987,-1,49363,727885,135931,-1,459190,-1,837677,51824,819885,-1,553265,-1,-1,372372,479550,-1,-1,600196,867116,-1,572742,900192,-1,-1,-1,70756,-1,-1,614533,686450,174812,-1,-1,281554,-1,-1,775079,819242,260659,-1,-1,-1,893023,-1,-1,-1,-1,-1,-1,234775,938212,-1,448050,834123,-1,632541,-1,-1,-1,-1,-1,-1,-1,-1,-1,302317,46615,741974,41819,324770,632262,238643,177103,94203,-1,-1,-1,-1,-1,518260,-1,-1,-1,74727,690014,-1,-1,-1,494043,655339,-1,470195,-1,658049,-1,-1,-1,726321,-1,238903,-1,-1,901494,425776,-1,5208,-1,-1,-1,315202,-1,-1,-1,120343,817930,-1,397607,-1,-1,-1,229772,762173,377951,-1,-1,-1,375994,875116,-1,-1,291697,-1,100325,782905,774497,-1,-1,470758,-1,275300,-1,-1,160549,8929,175537,-1,-1,710579,-1,595075,-1,485980,866461,399193,886923,-1,-1,-1,-1,-1,-1,425780,-1,-1,-1,-1,-1,-1,-1,692951,-1,560629,-1,834451,13684,-1,936070,-1,240919,-1,-1,283958,348242,-1,-1,604627,-1,766330,156085,-1,-1,-1,515471,-1,-1,565314,805059,-1,614492,836034,180175,-1,822413,-1,-1,-1,149382,249366,-1,905594,35451,495506,186073,55880,320003,-1,-1,-1,627123,-1,674419,-1,-1,870240,654983,805281,306231,54726,447403,532710,2330,717609,-1,-1,36246,635874,573807,352590,745878,8679,558759,63943,78680,214769,-1,823466,588351,-1,-1,-1,-1,-1,-1,-1,295810,-1,-1,218983,889379,-1,-1,682621,-1,-1,-1,-1,590489,308988,109405,731409,209316,518405,-1,983903,-1,792593,676915,558500,-1,819843,-1,-1,-1,751344,-1,-1,390363,435690,663143,-1,592847,795763,662294,-1,307535,-1,269987,-1,-1,617093,728068,-1,-1,-1,253980,-1,754892,673361,-1,378637,-1,110675,-1,-1,711446,678594,757362,588756,-1,-1,-1,-1,992191,-1,-1,568192,190288,18780,-1,168058,-1,786048,404388,276850,-1,805984,-1,55259,760580,864386,-1,233065,-1,604829,648655,-1,271646,148734,529893,323596,-1,926510,980997,53709,224475,-1,-1,22693,-1,836126,174949,198895,-1,797420,-1,944685,-1,-1,681723,-1,-1,-1,-1,271727,278481,-1,-1,422767,384069,323953,-1,332103,-1,873362,-1,613010,29753,-1,-1,-1,-1,722246,709089,671012,958921,-1,-1,-1,734871,507264,839382,336398,-1,832978,-1,-1,-1,960501,-1,760688,-1,701374,584405,918003,-1,-1,894458,-1,941730,273069,-1,-1,644079,26015,-1,-1,72873,683835,253782,-1,228468,-1,478319,927395,563264,-1,383320,-1,133421,-1,-1,-1,-1,-1,826543,-1,-1,784907,548649,443823,-1,-1,-1,561161,473664,-1,-1,119106,292072,-1,-1,-1,411735,65706,946834,-1,-1,616223,-1,699979,101287,-1,-1,-1,-1,40462,-1,618743,784758,54500,-1,-1,43269,642842,201089,835847,-1,67627,891575,-1,840959,-1,-1,-1,-1,-1,-1,-1,584104,749330,802186,-1,697367,-1,982359,-1,134264,540290,-1,-1,-1,-1,22309,395559,208630,172188,-1,421354,-1,-1,103590,-1,-1,900264,863738,-1,-1,-1,944603,-1,258817,-1,44411,272241,-1,-1,219056,-1,511723,-1,684339,-1,163961,695545,865253,-1,972634,-1,-1,-1,-1,-1,-1,367682,-1,-1,295912,-1,672702,233600,627473,-1,29351,279199,-1,89303,-1,625278,572813,-1,8057,743508,-1,-1,-1,403646,-1,-1,21596,755260,-1,354748,454459,707341,200016,-1,-1,-1,-1,960218,-1,132244,-1,791881,561393,674555,-1,105082,28458,557178,904120,74335,553767,989369,-1,870023,717155,926651,-1,696821,-1,665277,679274,158878,606374,563654,-1,-1,-1,589285,-1,309561,847386,-1,693689,-1,-1,-1,-1,883075,742504,884318,-1,-1,859095,-1,250426,607114,372786,933751,882785,-1,327455,309414,-1,511570,-1,698371,-1,779193,759608,613506,589071,-1,786126,-1,-1,-1,749840,-1,248413,-1,-1,430476,-1,631172,-1,-1,571440,-1,843529,-1,670242,-1,-1,-1,-1,-1,-1,529562,-1,-1,-1,634467,388571,385765,-1,151878,543186,746479,-1,-1,717862,204437,857401,-1,644133,109118,119277,368943,-1,-1,800675,497240,-1,-1,-1,823987,-1,185921,-1,914585,487242,426406,676302,-1,215006,-1,903635,-1,-1,322716,-1,-1,-1,742420,-1,758667,20990,-1,-1,-1,295228,-1,-1,973576,-1,-1,-1,-1,660697,306485,-1,934248,349106,81911,-1,137549,-1,742058,636573,603839,956676,262642,343586,853488,-1,-1,-1,329940,-1,215039,819858,340299,-1,-1,-1,848528,323618,-1,209635,266568,-1,-1,788203,651537,-1,910232,335238,237896,-1,-1,-1,522527,-1,-1,-1,-1,927264,-1,-1,-1,615662,298717,811147,265687,396660,136792,-1,229256,-1,-1,776060,715128,-1,-1,-1,513828,-1,-1,-1,277081,-1,-1,-1,170927,-1,-1,-1,347431,-1,-1,-1,-1,-1,986921,853695,285627,146583,-1,-1,-1,439791,-1,269102,788749,-1,-1,643544,79736,26133,-1,-1,-1,211222,26781,621129,366323,-1,733507,296017,-1,-1,-1,167483,-1,101779,708995,920800,222205,188663,251019,35348,260021,596580,-1,993604,-1,351055,-1,800536,267807,374382,-1,-1,118998,504789,-1,-1,686121,-1,-1,-1,-1,990080,546376,922279,-1,-1,407320,-1,12713,924661,883273,534344,-1,758917,707372,-1,-1,567342,482448,803844,991555,35347,-1,-1,69618,293195,278151,892651,-1,207147,-1,48366,-1,-1,-1,-1,-1,-1,-1,-1,-1,403196,909540,-1,773105,-1,-1,194911,-1,585994,908183,446295,-1,820143,-1,11611,-1,-1,888536,-1,-1,-1,-1,728255,-1,-1,-1,-1,-1,784548,787513,-1,848104,290996,-1,-1,-1,-1,774392,-1,-1,-1,-1,599964,-1,-1,-1,824367,-1,942937,157091,-1,-1,-1,-1,998650,777266,-1,-1,441770,703623,555121,-1,11718,-1,828361,195797,156090,158615,260499,-1,211153,-1,-1,489737,209400,3264,-1,687529,-1,-1,-1,46076,-1,615293,311433,-1,481614,-1,-1,249386,-1,-1,971543,685881,-1,-1,661028,294159,246920,890926,203060,662362,302407,-1,-1,-1,-1,-1,-1,-1,-1,136702,985885,-1,112820,973220,546290,-1,-1,839914,783207,-1,156517,116087,648026,-1,-1,198427,872964,809836,145441,-1,-1,462970,474320,282899,-1,-1,-1,309991,-1,572419,-1,208759,-1,78742,-1,-1,149365,471606,17306,553085,-1,868513,-1,83973,-1,-1,286848,-1,513758,153441,216200,-1,-1,-1,612555,-1,626420,510047,-1,-1,-1,629424,-1,362565,-1,-1,385621,-1,739704,-1,-1,-1,-1,-1,359909,-1,892819,709465,-1,-1,-1,-1,-1,700504,331654,692230,-1,-1,-1,751521,-1,-1,641958,829508,549915,219834,283155,-1,389350,33155,-1,21518,186432,431422,-1,-1,-1,26269,212491,-1,-1,450769,-1,382951,740476,110175,405865,320153,253372,711176,113138,-1,478823,-1,489935,286720,-1,-1,508360,-1,-1,-1,-1,642755,-1,-1,-1,635445,85670,264748,-1,959012,-1,353427,-1,-1,500000,834025,-1,-1,-1,22346,-1,66016,-1,138606,-1,-1,950220,412993,774680,-1,423998,-1,-1,617949,674519,317726,-1,433875,145585,-1,-1,532636,633033,556891,-1,716443,-1,235841,18944,688795,565736,289196,753057,362501,862517,-1,-1,-1,-1,823183,-1,175579,670481,-1,-1,370962,447123,-1,688730,161165,-1,818055,-1,-1,2708,124498,719838,854416,-1,-1,-1,-1,-1,317572,-1,644017,-1,-1,3585,-1,-1,-1,-1,-1,206305,700726,849149,-1,-1,609795,989825,7163,669672,997096,34586,176250,786637,-1,422337,622832,-1,-1,591396,59994,-1,318642,-1,-1,-1,-1,-1,318255,331553,-1,-1,510148,619966,-1,-1,244509,-1,235925,-1,-1,-1,-1,-1,652826,-1,-1,615826,144591,982995,-1,24209,819560,-1,-1,-1,558990,76333,469537,-1,-1,347282,-1,-1,-1,866591,758472,285771,-1,-1,386585,-1,-1,244621,692813,-1,16112,-1,-1,-1,-1,-1,348012,-1,674530,149766,354491,734337,-1,414496,-1,-1,875821,564949,499460,183514,-1,232798,122744,524385,406129,-1,-1,-1,-1,-1,-1,-1,767259,400366,278311,911490,737000,-1,976932,63059,-1,124071,660121,-1,-1,48155,587158,516370,-1,580678,940846,593916,678249,95085,-1,-1,112684,-1,-1,-1,709223,506941,788879,447327,-1,414120,788169,-1,58052,-1,805982,-1,869120,40155,342388,-1,892188,497792,991431,92106,-1,-1,-1,330950,-1,682448,-1,838140,-1,737717,385959,341851,598072,-1,-1,118664,328802,793586,353609,-1,-1,-1,-1,358280,-1,-1,-1,-1,-1,-1,-1,-1,122659,-1,-1,-1,455683,-1,-1,644010,-1,-1,-1,-1,927384,293554,993434,-1,-1,651847,298051,-1,-1,-1,725498,-1,-1,586285,-1,41909,739278,-1,968974,9965,789209,50884,-1,50147,-1,527312,-1,-1,902263,999869,209398,-1,-1,252645,406707,152561,384396,-1,915067,353886,917812,54542,-1,201983,-1,-1,-1,984514,255967,-1,185910,-1,-1,140534,508406,-1,-1,-1,850206,-1,-1,-1,254044,-1,797666,162334,-1,-1,757111,-1,-1,309613,926347,557084,139707,-1,89449,542865,749834,-1,-1,771305,-1,23149,-1,245909,963277,386198,-1,-1,351516,-1,-1,367782,-1,-1,284212,-1,-1,762934,453712,91755,788191,204085,774192,989288,477007,512667,-1,490208,788154,-1,-1,-1,-1,-1,-1,-1,-1,260697,418619,783445,-1,686537,-1,-1,253133,-1,-1,-1,897807,373507,-1,180595,581401,-1,-1,-1,338868,747929,-1,907465,-1,-1,498137,-1,229593,3496,-1,457448,-1,-1,-1,-1,-1,408001,4448,672407,-1,-1,-1,386144,-1,999664,-1,967821,416828,-1,-1,-1,-1,-1,-1,745355,-1,953790,-1,934942,910754,557226,53559,-1,-1,-1,749384,648012,-1,21866,104304,-1,236524,492307,166288,-1,208189,-1,226358,-1,-1,108662,-1,-1,182897,338829,-1,-1,34771,-1,727800,-1,38092,986333,-1,91729,387785,812236,597994,118271,498916,977577,51281,822258,205272,534696,174568,852456,797000,-1,-1,213760,436644,-1,-1,844036,264352,-1,460200,278878,-1,-1,-1,-1,541935,-1,296299,-1,-1,423940,-1,-1,-1,735864,849092,-1,301826,-1,-1,-1,-1,-1,281224,374813,889712,-1,4491,586790,-1,-1,-1,-1,-1,192253,-1,-1,-1,480995,922281,412208,746939,392100,98088,84353,823968,-1,975338,-1,107866,-1,83097,256744,780974,-1,759479,890092,414633,-1,458339,443972,-1,-1,410819,37289,832256,324035,-1,-1,282767,982495,-1,207918,913504,-1,275228,-1,-1,835098,-1,368245,731022,408620,979282,-1,698993,-1,930899,403960,383061,-1,748760,-1,-1,-1,909576,15198,-1,783452,-1,604735,942120,645356,317819,410903,-1,881227,-1,-1,548448,660836,-1,-1,-1,671482,-1,-1,-1,743527,585431,-1,436998,-1,850735,636009,-1,693784,735248,780330,503065,172109,501163,-1,888980,-1,347511,-1,653163,376875,80239,637243,-1,-1,-1,58722,325611,686994,-1,417706,770766,-1,439860,144727,445512,613596,-1,-1,453846,715536,646491,-1,642042,-1,-1,220752,573248,-1,-1,-1,689142,-1,-1,-1,-1,751728,-1,30809,-1,480632,-1,-1,-1,59190,-1,-1,58351,656293,-1,-1,538135,112213,473939,640568,-1,-1,-1,779679,10435,-1,-1,-1,-1,-1,-1,860379,-1,488021,-1,-1,234545,-1,678772,-1,685971,-1,375615,240151,-1,202167,751989,-1,22999,903789,668718,-1,-1,-1,-1,837797,-1,278625,-1,-1,-1,372513,625199,428904,636652,-1,-1,325805,-1,-1,-1,-1,-1,816684,615825,391030,394077,150732,-1,50777,-1,-1,914648,-1,269737,-1,391892,912293,774254,-1,797294,883421,-1,-1,664491,-1,417524,-1,-1,-1,-1,-1,895435,833054,95684,735098,510193,-1,393586,249843,397036,-1,-1,-1,484723,-1,-1,-1,815428,-1,991391,330019,842961,-1,991000,-1,334508,712958,630766,764730,667681,395795,-1,-1,159008,159310,-1,122876,738877,854271,701927,146976,114147,-1,-1,404829,-1,928494,87441,-1,-1,-1,83161,-1,262639,862575,-1,385439,115837,462435,399850,-1,-1,-1,655683,192222,294076,57875,-1,-1,431354,-1,-1,-1,172294,-1,290141,-1,273843,-1,-1,340002,801147,-1,-1,-1,973666,-1,-1,-1,-1,21874,-1,412868,-1,99858,685196,-1,978622,725157,-1,-1,24944,548626,604787,-1,277120,-1,904898,-1,545015,887423,230166,-1,-1,-1,-1,591610,-1,819125,631249,244102,531297,610041,-1,768140,141959,596219,-1,407537,387367,-1,430934,983739,222030,731253,217130,616515,855722,419073,160860,199518,-1,12106,-1,687002,332337,319753,886384,284811,-1,726338,453310,-1,-1,-1,30165,-1,967991,-1,324161,421582,338917,979257,-1,675829,867300,973057,-1,23312,-1,-1,-1,-1,-1,23872,755852,444967,-1,843631,310838,-1,705372,-1,-1,459763,988646,-1,-1,-1,-1,-1,83186,380538,-1,-1,648771,-1,817204,-1,-1,-1,905873,631214,955175,291471,-1,450350,115398,-1,-1,151610,179969,-1,-1,-1,107007,795895,-1,248821,-1,479760,-1,784835,847811,-1,-1,948607,-1,-1,-1,826268,871246,98889,-1,-1,741260,902960,2168,-1,-1,-1,535859,-1,153800,259163,-1,-1,-1,-1,-1,821809,187702,351661,80886,-1,-1,84198,-1,431060,-1,629568,730611,299881,798739,-1,878459,480947,-1,487839,859783,3932,-1,590331,211007,-1,-1,-1,-1,-1,25580,15207,498231,862010,853614,861046,464826,-1,-1,-1,-1,570793,932183,994190,-1,-1,336442,-1,-1,-1,-1,905570,-1,365199,954875,961839,-1,-1,230793,-1,-1,-1,-1,-1,-1,-1,-1,158210,628230,-1,-1,-1,-1,-1,977310,119095,-1,-1,-1,-1,824249,-1,-1,-1,678567,407729,264389,691580,-1,228662,823006,-1,-1,361230,50499,-1,-1,-1,911906,315123,-1,968951,793773,45871,-1,-1,778957,-1,216463,-1,-1,755765,39033,842976,33867,-1,735220,122838,-1,-1,847975,-1,-1,670101,216282,-1,515824,-1,-1,317662,646230,-1,535345,343040,-1,409628,-1,-1,43309,-1,-1,730328,50098,-1,721111,-1,707969,376754,417205,-1,-1,570196,-1,410338,-1,860017,611152,-1,-1,-1,-1,-1,24715,477414,-1,-1,659205,979908,630565,-1,886224,-1,935712,983793,-1,-1,-1,-1,844408,-1,-1,-1,27618,-1,215981,436011,-1,36128,-1,-1,704662,98011,650137,820629,-1,-1,-1,265019,-1,-1,-1,-1,165564,114845,-1,127427,-1,557001,449138,41688,-1,-1,-1,481731,-1,-1,320832,773403,958031,188688,774429,659799,817310,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,633887,-1,-1,943318,-1,-1,-1,-1,456256,946714,-1,-1,-1,-1,88344,-1,-1,604533,57040,958278,-1,192759,-1,265438,753130,134842,-1,-1,-1,-1,-1,-1,484502,-1,-1,531587,-1,-1,-1,266149,126405,783184,-1,-1,256754,-1,100931,-1,135367,-1,674181,-1,4777,-1,-1,443100,942329,-1,901540,-1,-1,-1,-1,504525,-1,-1,411756,-1,252690,-1,-1,36001,332094,179944,-1,-1,324991,-1,-1,-1,891409,-1,-1,-1,-1,-1,-1,124723,-1,-1,990736,986234,-1,150374,-1,560973,-1,-1,366343,-1,-1,-1,-1,-1,218095,639943,125892,-1,-1,124228,-1,64684,-1,-1,-1,660054,-1,961385,-1,577556,-1,388039,709145,-1,-1,-1,877681,-1,-1,-1,-1,-1,-1,-1,620660,-1,-1,167181,-1,443353,39044,353558,-1,-1,-1,-1,-1,-1,-1,-1,850022,-1,-1,72686,-1,40266,-1,-1,-1,730955,-1,-1,616764,-1,-1,-1,-1,664706,450255,396457,-1,467245,668382,-1,356852,98158,406959,480973,-1,-1,-1,-1,92208,-1,-1,2334,71373,-1,-1,456724,-1,313681,-1,31953,-1,604267,505033,-1,-1,308155,-1,880059,-1,-1,31766,-1,90770,646858,505988,72375,132122,164303,-1,-1,-1,270919,748798,-1,643398,-1,-1,141211,61717,119066,485782,-1,810949,920165,389463,-1,480830,387997,-1,-1,-1,-1,-1,882953,-1,-1,796805,655226,-1,579596,101037,-1,-1,834127,-1,-1,658283,-1,198195,-1,445048,919748,-1,-1,926195,901832,-1,-1,120395,-1,-1,595704,-1,-1,74702,-1,-1,-1,506737,734136,-1,-1,428035,875113,163728,-1,-1,146076,-1,-1,318332,-1,-1,292120,-1,9394,776291,189415,-1,-1,-1,123453,228106,-1,-1,84388,-1,742552,-1,88867,743168,368904,450592,-1,506992,-1,756831,-1,-1,693372,28783,-1,-1,-1,232316,86358,-1,819451,310174,643659,-1,-1,-1,546323,-1,-1,-1,-1,-1,160814,430148,-1,-1,240321,-1,452122,-1,-1,-1,829594,431326,-1,-1,39911,943454,-1,974671,817783,792107,-1,884743,312479,-1,-1,-1,395364,749952,44355,943277,-1,431107,-1,-1,500923,-1,-1,43955,719610,462310,-1,-1,551050,835267,288968,24469,-1,985025,-1,308038,335954,314283,955486,964861,-1,752945,-1,438263,-1,559827,-1,-1,904701,-1,-1,557533,967452,-1,258020,487026,502081,-1,-1,651673,713599,293159,-1,553111,77937,571491,528084,60363,452050,-1,772206,-1,320045,-1,834915,-1,885381,-1,-1,387605,-1,243774,-1,-1,-1,599025,-1,572004,-1,803254,779754,-1,-1,139074,-1,509278,351138,-1,-1,-1,658813,74443,-1,12584,-1,995657,340669,507751,-1,-1,-1,544891,243092,-1,-1,-1,-1,-1,543770,-1,-1,878975,-1,600125,581920,-1,799181,561039,102794,-1,-1,871906,-1,266580,-1,-1,-1,-1,-1,-1,-1,544869,839440,-1,258706,315908,122412,-1,351767,757287,194834,-1,886427,-1,175142,-1,564601,753096,-1,-1,678050,987509,-1,318471,714646,-1,-1,579351,80188,20876,-1,-1,-1,-1,938290,-1,653387,125821,-1,742199,346119,405321,140788,-1,793793,976553,767392,-1,192626,517960,96314,-1,48178,-1,-1,-1,454711,-1,777862,555098,-1,-1,373809,903513,694036,714168,-1,-1,-1,315087,634390,-1,-1,681566,-1,859061,-1,-1,-1,824897,-1,-1,-1,-1,-1,-1,838429,-1,242437,73454,42778,876486,477562,-1,417622,-1,529483,-1,213001,15069,575672,134759,-1,-1,670810,428256,-1,275410,-1,460580,157113,245305,156466,-1,-1,-1,863523,-1,-1,5339,-1,-1,219601,393623,-1,629290,-1,567002,-1,-1,-1,-1,582104,-1,-1,514881,-1,-1,-1,-1,-1,918800,257282,825129,296826,-1,-1,-1,-1,-1,-1,-1,-1,357892,-1,-1,286915,-1,211234,397009,792907,-1,779122,710147,309287,-1,836059,187113,206074,112764,824220,164713,-1,106963,-1,968025,448704,-1,581224,542951,-1,900881,-1,-1,-1,340485,192651,199775,257919,247629,327668,799222,-1,114907,780799,406531,704252,-1,923105,488946,-1,846574,-1,-1,867394,321760,-1,133150,973876,-1,99669,327202,180278,-1,294129,-1,877192,-1,-1,-1,-1,656524,-1,683804,-1,134681,-1,316074,262566,-1,-1,-1,781372,779830,107495,-1,370942,-1,-1,439504,200961,-1,552816,-1,298026,862149,440874,-1,-1,-1,149916,-1,-1,288670,-1,-1,243782,724876,455985,498648,432983,12530,497269,681538,151845,612625,-1,395165,-1,7431,-1,910088,-1,-1,949472,567024,-1,934297,-1,-1,-1,695941,-1,921442,558427,9869,888163,-1,-1,-1,-1,-1,-1,-1,84117,841290,123241,446955,-1,989982,101544,390962,224332,484281,784420,344791,73955,-1,-1,-1,-1,-1,-1,281144,-1,-1,608875,514086,-1,321491,-1,606286,-1,-1,806835,412384,472521,133809,-1,228303,-1,-1,44150,-1,681581,-1,-1,200247,21305,491125,-1,-1,-1,-1,460260,786368,-1,-1,929073,736571,747933,603699,986727,-1,93375,-1,-1,855214,-1,205167,-1,949119,-1,-1,-1,-1,761908,141680,554938,196104,838068,7386,-1,-1,201042,-1,193935,492880,-1,-1,721969,-1,903748,735191,170228,168045,-1,-1,-1,-1,-1,-1,63630,-1,-1,-1,-1,312782,-1,-1,-1,-1,-1,283275,-1,-1,-1,-1,24489,482881,-1,-1,-1,-1,-1,975042,153705,-1,-1,-1,-1,-1,-1,-1,161079,584369,-1,-1,-1,532220,963431,693343,-1,936314,895104,-1,-1,-1,-1,705521,804471,-1,-1,544866,717378,823423,171073,-1,375724,777607,-1,-1,372626,-1,601501,333547,105440,129009,867726,573848,-1,75280,977347,822632,-1,-1,939540,-1,-1,620325,-1,355043,-1,108453,336110,380824,760895,955390,355581,-1,-1,159226,-1,-1,-1,684498,77994,151320,-1,643655,-1,323969,-1,241898,-1,-1,-1,957532,-1,693094,805184,134837,416801,-1,-1,58399,287308,219542,-1,-1,926331,-1,942675,533160,7756,-1,675360,-1,745711,-1,-1,840512,805668,141008,182179,963608,813394,596449,134850,-1,565514,-1,-1,-1,36414,867371,-1,240265,-1,509018,-1,702731,-1,144322,190369,646870,751765,-1,-1,90246,-1,623617,-1,-1,614780,-1,-1,783487,802959,583231,838749,653346,995810,-1,977881,-1,-1,59494,-1,-1,-1,389518,41749,824973,828549,-1,-1,719411,-1,-1,985931,650472,791205,-1,-1,-1,737892,608213,-1,-1,-1,360170,961015,-1,563215,-1,890607,-1,-1,248917,751622,128239,-1,-1,467763,-1,-1,627010,-1,125184,215780,-1,-1,-1,859561,920043,523040,-1,-1,70607,707637,-1,-1,-1,-1,564164,240636,472442,946383,-1,-1,801310,756938,-1,-1,-1,-1,-1,-1,-1,-1,780146,-1,-1,-1,450520,671241,633113,-1,-1,-1,-1,529511,670740,-1,475469,-1,637162,163416,-1,407846,-1,927248,-1,709152,-1,782700,957521,581020,-1,150394,730512,450303,117992,-1,642982,649649,10341,-1,349304,625946,-1,502228,802641,739152,149478,-1,718921,135436,449279,-1,-1,-1,-1,304013,-1,533148,-1,-1,637828,490546,314005,-1,-1,-1,-1,570952,692271,881450,-1,-1,409182,-1,350231,783215,418029,259609,-1,-1,198842,44628,-1,-1,-1,177590,400239,-1,-1,582721,-1,935772,-1,143783,-1,-1,829032,928742,-1,-1,656913,-1,-1,519965,-1,246636,61192,252044,827670,-1,156452,486788,999502,108387,843898,-1,323028,159123,-1,723882,-1,911046,-1,356103,759758,562361,726252,-1,-1,-1,-1,-1,-1,-1,376005,687242,-1,-1,20562,-1,492755,-1,-1,-1,122467,-1,-1,-1,259504,115236,-1,601371,-1,-1,-1,895063,663948,-1,455582,-1,-1,8033,454354,-1,753070,952321,-1,514849,-1,693219,530027,-1,160870,-1,-1,405589,387322,839491,-1,-1,-1,119947,954412,-1,-1,262036,-1,-1,540537,-1,-1,-1,576879,798688,235219,508407,-1,-1,-1,-1,712990,-1,267695,-1,240346,-1,-1,-1,-1,-1,-1,260523,303071,-1,-1,-1,-1,-1,-1,410530,-1,-1,-1,312182,164301,988857,-1,449717,-1,592574,960712,-1,450113,-1,594921,-1,-1,-1,-1,768589,-1,-1,841040,-1,351640,-1,-1,-1,486047,106821,-1,-1,329835,975659,851570,950737,256690,-1,-1,-1,-1,331107,-1,-1,599424,-1,-1,640900,86907,-1,528627,12034,980674,-1,-1,-1,348415,-1,-1,-1,862918,-1,962689,-1,-1,-1,-1,115889,-1,-1,-1,-1,-1,141547,929220,-1,-1,512683,-1,-1,560176,-1,590833,548297,-1,217693,768332,-1,105251,422134,568736,780002,631646,-1,-1,210313,688932,-1,-1,802199,133325,940776,-1,94652,201137,-1,75308,529273,864512,-1,-1,-1,193071,759881,-1,-1,-1,516072,763177,345270,518396,-1,668719,899341,-1,937273,-1,207610,-1,349211,80224,-1,885338,994961,-1,444734,-1,341320,122726,-1,842777,203022,447420,720090,55957,896835,-1,-1,663656,639102,292610,-1,274654,-1,-1,-1,627407,-1,-1,-1,806726,361457,974745,44849,-1,328346,-1,391305,-1,14533,-1,-1,477935,-1,142973,248486,811133,-1,-1,600342,-1,-1,471324,-1,644974,379036,197797,579359,773152,679161,502694,372483,890497,-1,-1,732791,288403,-1,397483,-1,598771,-1,-1,427982,269047,737004,-1,215922,-1,-1,-1,-1,-1,111575,544198,-1,619424,357717,669831,-1,911628,-1,578637,202697,384007,-1,-1,-1,-1,269103,520341,210530,355037,607199,-1,564688,-1,469739,37696,565778,627258,-1,535170,201418,-1,-1,-1,-1,748837,539987,-1,-1,-1,-1,-1,-1,-1,-1,695365,241344,128986,-1,520503,628042,-1,410601,867428,-1,28353,-1,-1,473881,703538,646590,791413,-1,820681,-1,183549,-1,741810,760030,-1,388647,-1,-1,652274,374254,-1,790556,442726,509463,-1,870424,117603,282479,653031,-1,218288,263412,-1,-1,-1,-1,-1,518681,197486,-1,221624,-1,208402,-1,110948,-1,-1,809021,436401,760765,432846,839829,656377,796307,-1,990604,16427,-1,204347,706249,289942,-1,-1,-1,-1,-1,-1,-1,845888,789104,-1,-1,-1,-1,-1,826634,874528,-1,431049,694407,579019,-1,882305,777314,179338,721335,-1,-1,462678,-1,-1,887057,950731,-1,-1,-1,-1,885978,185120,-1,82039,12003,-1,208158,-1,-1,-1,-1,814270,426515,-1,383438,268098,-1,239000,90350,-1,-1,40192,417253,-1,-1,-1,-1,-1,-1,-1,957922,267021,-1,145908,203194,-1,-1,-1,138179,-1,291799,-1,-1,-1,957836,275688,-1,-1,-1,308085,405310,771460,-1,-1,-1,-1,50186,7424,511959,-1,154102,-1,-1,-1,-1,906201,643755,-1,778259,-1,-1,157913,468198,379040,191571,788752,-1,-1,417216,869561,-1,-1,518775,983831,670856,217631,69174,973647,173224,403825,993657,-1,65247,655100,-1,112720,-1,-1,655503,-1,235722,-1,-1,287169,-1,-1,193939,-1,39211,-1,852303,-1,-1,-1,336982,-1,875690,828800,-1,829120,-1,708241,-1,592334,-1,-1,635348,366878,-1,-1,378981,618432,-1,-1,499722,210224,-1,-1,-1,-1,738492,-1,-1,921724,532265,466781,932068,-1,-1,468409,-1,281407,972850,-1,-1,5636,98148,849157,663857,848762,79556,527137,-1,-1,-1,401330,696415,-1,490812,578182,815838,329482,644728,89498,438571,322595,-1,-1,-1,-1,985964,-1,929542,477691,146091,859492,269839,937627,243250,611439,687284,-1,-1,974522,-1,-1,-1,657739,-1,-1,908946,828680,-1,-1,557401,694180,-1,-1,151619,713140,-1,-1,890158,-1,-1,129588,-1,-1,-1,-1,608178,-1,-1,225705,255739,-1,-1,566988,-1,224337,-1,-1,825421,903696,-1,-1,-1,344798,-1,-1,-1,805228,373123,121448,673655,-1,806454,809738,304998,741354,-1,519947,474874,-1,28863,23742,879216,999005,-1,-1,462206,201618,388024,-1,-1,-1,767719,-1,-1,18953,924370,571573,354340,970895,629552,357096,897239,192892,-1,-1,-1,579556,26376,-1,562187,915609,-1,-1,800985,-1,348941,-1,-1,-1,832282,886900,-1,-1,966747,328723,440825,-1,854789,734178,294111,706330,-1,-1,717925,934430,548090,666689,-1,-1,-1,751738,958537,859802,-1,574687,836222,-1,-1,401567,-1,-1,-1,655832,805064,404339,-1,376890,-1,-1,-1,940575,614591,677333,-1,438680,-1,-1,-1,-1,229637,-1,609558,-1,-1,198680,-1,249425,-1,-1,-1,-1,-1,-1,947877,-1,394731,746932,632431,-1,878290,-1,-1,-1,829012,-1,-1,-1,-1,544632,792315,899494,505139,-1,363689,-1,-1,888840,237203,-1,-1,640934,-1,-1,977916,644636,-1,-1,225297,144771,-1,-1,523468,-1,-1,-1,-1,22461,976514,32251,702688,-1,875294,-1,329196,358207,401258,-1,33705,657794,466333,780436,569644,-1,-1,405601,309221,-1,-1,-1,175793,-1,-1,59028,571100,-1,250482,722339,-1,-1,166005,948916,440964,403386,-1,309747,777717,31544,318309,-1,820309,616778,-1,-1,-1,-1,106831,-1,127504,27720,451829,-1,-1,481449,598220,-1,-1,264535,-1,-1,387912,144140,-1,987716,-1,604644,-1,-1,643216,440645,198362,-1,-1,-1,844496,-1,-1,348716,141152,-1,-1,832508,-1,-1,362932,-1,-1,611552,450849,341881,269412,-1,856312,-1,810834,-1,374145,-1,-1,-1,84193,673508,615716,456536,-1,-1,46485,530732,586772,-1,-1,815182,-1,910253,946986,691021,989410,713552,804071,-1,327844,-1,960602,-1,247596,145796,-1,-1,254493,-1,-1,623759,-1,-1,747084,-1,238580,-1,-1,29138,-1,152498,309870,866745,-1,570294,-1,12916,-1,-1,-1,52491,597184,916478,202796,-1,-1,-1,-1,311612,-1,-1,524697,378857,-1,-1,-1,369402,566208,-1,-1,-1,-1,294724,-1,-1,-1,674725,680391,-1,166984,955093,222532,-1,-1,806414,768536,692571,637782,-1,-1,68375,-1,-1,-1,193020,623186,-1,352995,834033,-1,255695,949907,-1,471141,-1,399580,864796,16732,556053,566745,288994,-1,953351,-1,-1,-1,442259,360835,-1,928505,456478,902845,153880,-1,-1,-1,951428,332755,58933,-1,745404,-1,-1,-1,471857,-1,-1,560573,654134,529646,130967,728935,-1,-1,337386,725565,-1,-1,711619,-1,-1,459465,-1,-1,51908,-1,697869,957716,-1,661244,390907,-1,-1,-1,549356,-1,-1,385560,-1,-1,987902,672469,191431,244300,-1,350246,819034,517048,-1,14698,67986,-1,134807,614377,32697,-1,-1,815083,93776,207568,-1,759161,136879,842214,-1,-1,-1,882545,498194,8700,-1,-1,-1,-1,-1,286811,524056,70395,-1,-1,314410,518378,725492,-1,-1,741942,-1,-1,-1,-1,889005,-1,-1,154059,-1,-1,763938,-1,440170,849749,383413,-1,-1,707157,373380,701775,994228,-1,-1,-1,830195,-1,635340,805877,-1,119753,818193,-1,30869,-1,435594,-1,-1,985324,-1,869543,-1,301101,343754,449730,-1,-1,-1,634711,136961,-1,-1,516302,-1,504096,898603,498654,267409,24942,-1,496738,-1,-1,-1,-1,-1,-1,834512,-1,950783,818603,565948,696323,96115,178774,829495,638335,-1,-1,-1,169998,-1,-1,-1,-1,-1,105334,923719,380220,-1,-1,-1,91581,-1,832448,473470,-1,-1,36080,314919,-1,-1,987192,49638,-1,961485,-1,-1,582246,-1,776451,-1,307895,-1,782221,-1,-1,-1,822235,274690,978655,-1,-1,-1,-1,-1,951535,573834,-1,-1,-1,895657,-1,-1,-1,817455,-1,-1,-1,-1,-1,602942,585988,427953,-1,746871,-1,180375,-1,-1,-1,554465,-1,135844,-1,-1,377200,281691,-1,628054,-1,588363,109870,100626,47145,-1,-1,-1,806418,647614,352930,-1,-1,-1,899432,130830,811569,-1,-1,-1,-1,286953,928125,407232,-1,-1,610248,744320,-1,-1,317513,-1,-1,-1,-1,309065,50969,619884,766013,91551,574911,-1,-1,-1,628869,111925,273738,527736,897076,-1,-1,-1,852626,-1,585271,268840,899209,12005,766881,222932,511332,-1,-1,-1,-1,-1,80415,856020,-1,3752,-1,141781,-1,809134,-1,-1,-1,-1,-1,38398,201530,53682,-1,-1,706504,-1,-1,-1,7509,-1,-1,721598,-1,-1,-1,10357,-1,-1,824404,-1,-1,-1,-1,594859,602698,364758,-1,-1,784315,-1,896130,416792,489017,-1,-1,-1,856745,-1,645638,83889,-1,-1,618264,918322,254437,-1,-1,-1,340555,395173,464556,-1,-1,230488,260267,269270,-1,402355,716791,-1,-1,-1,-1,787855,344636,-1,414571,-1,890230,423259,87737,591774,-1,134166,-1,77504,-1,-1,-1,476853,980223,31644,636462,-1,590400,634129,-1,-1,-1,-1,824162,392586,911616,-1,-1,-1,-1,-1,-1,142394,-1,-1,-1,-1,-1,-1,171606,-1,-1,-1,-1,-1,-1,217448,577762,-1,-1,-1,7873,-1,653512,420132,-1,-1,89032,912088,-1,519190,906252,-1,839722,552690,278113,-1,150936,-1,399905,755970,566136,-1,454502,-1,-1,89356,203730,-1,-1,-1,645143,496915,372186,-1,-1,902250,-1,817566,-1,-1,-1,-1,-1,250222,527574,-1,-1,-1,-1,179327,-1,-1,184168,844589,837898,-1,-1,-1,718076,586147,-1,-1,-1,908621,-1,375219,-1,438902,-1,821422,264406,232952,-1,772826,876973,-1,844681,668802,-1,-1,-1,-1,-1,-1,-1,-1,557756,-1,336481,583412,-1,585447,741590,327660,549972,-1,-1,510125,991614,391953,896926,898068,34386,978839,-1,-1,-1,822184,757045,117598,747016,775164,192847,891251,977791,-1,327816,451775,-1,-1,116594,266064,982572,-1,-1,55377,-1,-1,-1,431010,-1,-1,356797,189179,-1,-1,984105,-1,818299,-1,479398,-1,-1,849721,-1,280941,-1,-1,-1,-1,-1,188799,233099,-1,309124,376707,-1,451490,-1,-1,-1,-1,705091,517808,385308,122457,-1,-1,-1,-1,602722,-1,386973,520335,-1,829234,-1,7317,-1,573955,-1,846881,-1,673174,854017,-1,560550,-1,-1,-1,364895,969334,-1,121330,853172,-1,-1,-1,-1,-1,-1,492784,963154,-1,-1,230352,-1,157285,-1,-1,-1,-1,-1,-1,-1,484427,375943,-1,-1,-1,617257,-1,597621,492487,-1,-1,533317,-1,-1,451162,-1,-1,945103,-1,547602,-1,-1,883279,673090,586067,-1,894309,345902,24197,-1,646619,286074,-1,-1,438126,-1,579332,703411,-1,-1,-1,-1,196282,501434,-1,-1,-1,140871,467512,454616,782027,601895,488347,-1,-1,-1,117497,321417,-1,-1,-1,-1,-1,700073,-1,681000,202002,-1,617516,314548,114638,-1,82632,885511,-1,526000,-1,809027,-1,692955,474792,-1,397398,604172,244880,569536,-1,670286,-1,-1,-1,398860,92242,341770,84604,-1,-1,-1,-1,594044,440535,-1,34837,556243,74145,-1,758838,-1,86095,972895,-1,915922,897411,937162,-1,945121,-1,672739,261474,741313,-1,-1,-1,-1,190986,991640,683307,-1,595841,711927,393609,-1,415612,-1,-1,744726,540980,-1,-1,-1,-1,374529,870700,-1,-1,-1,-1,-1,-1,-1,859699,-1,-1,711409,91607,-1,-1,284585,42170,11289,-1,-1,-1,-1,232329,498611,42216,740794,368622,-1,-1,-1,-1,-1,-1,-1,-1,969418,-1,-1,542622,133833,27949,568781,-1,932464,-1,467936,343508,111344,516235,-1,-1,-1,852148,262890,835068,149119,83566,465094,-1,91570,-1,20607,-1,-1,-1,-1,-1,-1,-1,380136,856519,79591,591055,253154,914351,-1,-1,227053,506131,506581,-1,-1,-1,-1,494055,846106,-1,-1,632485,248487,722047,-1,346022,-1,813933,26644,-1,856833,936372,128901,-1,431614,-1,-1,-1,-1,898208,886906,-1,137421,854484,-1,989994,-1,-1,325897,-1,-1,-1,-1,-1,533549,122054,644847,-1,-1,-1,-1,-1,-1,-1,181618,791102,70520,-1,-1,-1,-1,752617,385132,-1,-1,-1,-1,706316,926543,-1,60801,143567,409032,-1,689083,-1,-1,-1,-1,678187,-1,-1,-1,172004,491259,967166,900995,-1,588698,689727,-1,893244,430970,800062,-1,-1,-1,934971,-1,-1,196235,-1,873178,-1,-1,-1,358333,-1,-1,-1,-1,56020,-1,628766,-1,-1,-1,-1,-1,828955,219965,865441,827404,-1,524778,-1,219910,-1,429016,-1,685481,707077,501376,528724,871189,-1,-1,991508,390911,-1,-1,703616,575613,-1,347891,-1,-1,-1,-1,164927,688781,-1,-1,407860,-1,-1,752422,727496,-1,22186,703579,-1,48,-1,904387,-1,-1,765047,-1,909747,452978,-1,25225,394214,-1,-1,176557,-1,434771,-1,-1,785057,-1,280479,860280,-1,-1,601225,159456,-1,23856,506320,581778,700196,-1,906699,407947,-1,513521,-1,-1,-1,536588,-1,-1,370558,120146,739067,-1,277567,-1,-1,543260,-1,521813,-1,-1,722702,305857,-1,-1,363338,15250,-1,-1,-1,211191,-1,790792,-1,-1,917732,-1,634675,639619,843196,431339,-1,127346,-1,846122,-1,513741,579133,-1,-1,-1,-1,241647,581123,-1,930839,-1,94421,-1,333108,-1,474267,-1,7646,-1,376409,28510,356411,-1,-1,185868,901545,-1,-1,862191,448219,498264,350147,790612,-1,-1,-1,213993,-1,-1,135517,282034,31524,-1,-1,176790,380651,260256,-1,787242,-1,714370,605657,-1,-1,608792,453340,88039,283371,69028,-1,-1,549764,736413,-1,-1,690506,571931,-1,139492,-1,-1,-1,701231,-1,-1,-1,-1,-1,-1,646459,922108,-1,-1,-1,-1,-1,-1,329254,-1,-1,85450,-1,209504,-1,3610,-1,-1,-1,-1,769943,-1,-1,-1,-1,508327,-1,-1,163003,561848,903893,599944,489545,-1,-1,-1,-1,-1,-1,518802,-1,-1,860923,514288,863790,-1,995677,-1,-1,-1,-1,-1,-1,-1,-1,816402,905124,974984,-1,362017,-1,321146,-1,-1,-1,-1,-1,-1,61931,243417,-1,377455,-1,992821,724602,530238,-1,-1,611225,-1,726162,-1,111172,554125,-1,417837,-1,-1,-1,-1,-1,-1,-1,971317,-1,291405,243306,-1,229264,-1,108053,723005,425457,486116,995346,931086,-1,-1,-1,-1,-1,-1,-1,-1,-1,30557,-1,-1,-1,-1,-1,-1,203904,-1,-1,939509,28886,211044,856872,-1,407728,509694,-1,853224,-1,-1,348864,-1,-1,-1,175622,575430,827239,-1,404164,-1,-1,-1,418391,-1,-1,-1,298015,803453,271828,465600,-1,-1,466209,-1,392093,-1,122193,312514,-1,-1,-1,-1,-1,-1,361058,-1,436010,-1,505752,-1,859588,787466,-1,588041,-1,902458,941601,522690,-1,527938,-1,-1,319861,704468,361324,-1,-1,658093,33324,-1,-1,-1,354343,929664,392079,-1,771693,-1,899566,585036,723027,-1,-1,690988,99771,27462,-1,550679,-1,93931,509441,115216,-1,-1,109615,-1,515416,982885,-1,-1,35127,693263,-1,-1,-1,-1,-1,793693,456128,-1,425772,160905,-1,312254,69788,-1,-1,-1,21435,768625,-1,211657,627355,-1,442688,556946,178021,-1,-1,438478,328102,990510,363024,421828,525832,288459,-1,-1,-1,421253,723725,809567,202484,459437,162212,-1,-1,126353,561869,552894,967972,151711,-1,-1,-1,220372,-1,-1,-1,-1,-1,761995,-1,181194,-1,401551,905467,-1,178738,741320,-1,-1,-1,378872,132050,4759,285606,212431,-1,797753,413405,508052,731612,-1,-1,39158,254080,308601,406890,-1,-1,147997,591476,-1,-1,-1,-1,124348,-1,965372,-1,338210,-1,-1,-1,491183,-1,342217,286515,156670,559432,1794,-1,944522,479095,559880,-1,-1,434417,-1,-1,-1,531935,-1,-1,244077,693935,-1,-1,-1,-1,801252,-1,603111,919084,-1,-1,-1,-1,498465,133612,-1,50361,-1,272749,-1,13074,328253,315610,586115,-1,993825,-1,610400,589124,-1,-1,-1,133752,689015,576861,404281,-1,-1,955290,-1,-1,175599,479591,-1,528774,-1,777151,-1,-1,489600,315265,-1,-1,-1,-1,595504,618007,541955,446366,-1,475398,991035,850091,-1,-1,524807,328842,579300,-1,276775,-1,-1,736148,249073,-1,638964,120766,-1,-1,-1,-1,-1,-1,666066,-1,-1,-1,71780,504051,-1,-1,259204,572835,87832,-1,-1,-1,748909,-1,297228,-1,-1,-1,625069,-1,762039,416073,-1,-1,-1,-1,-1,898216,-1,-1,760068,816334,545620,681572,-1,-1,-1,502751,751271,39243,533786,-1,-1,-1,878830,911704,-1,926227,-1,917821,720506,-1,-1,124293,-1,47438,894614,-1,-1,-1,515397,-1,-1,143227,-1,839741,539179,-1,-1,355521,709444,-1,654832,-1,-1,-1,504574,-1,477431,-1,511717,-1,-1,-1,681959,-1,-1,62583,522749,-1,-1,707227,976603,-1,374065,-1,940557,413590,287126,-1,378508,836352,-1,-1,11578,-1,-1,-1,-1,159866,-1,755606,449796,44391,457198,-1,624938,-1,516429,-1,41883,950485,521110,509437,896584,415010,-1,-1,-1,281031,574797,-1,-1,452246,327884,674503,120815,-1,-1,-1,170031,-1,-1,-1,387739,446290,-1,-1,-1,854706,-1,733479,-1,29754,-1,423465,42308,-1,114763,-1,-1,-1,-1,-1,-1,736747,-1,-1,-1,344277,-1,553885,-1,225948,-1,945155,-1,363736,-1,666732,-1,-1,731620,690537,-1,263649,923400,262569,1701,52099,125607,334238,-1,-1,229443,-1,126729,422276,868405,-1,225107,266062,-1,-1,665369,-1,-1,484925,201590,-1,-1,765714,576351,538486,-1,-1,-1,-1,-1,-1,-1,-1,271089,-1,122349,-1,274355,-1,73638,-1,-1,912165,996013,645309,-1,790441,937832,-1,885571,-1,-1,-1,920107,503158,-1,122593,758646,767512,-1,-1,-1,909694,552238,170414,957830,205280,-1,508080,-1,800297,380178,-1,-1,-1,67047,925888,-1,290316,720048,945326,-1,-1,-1,-1,-1,292270,357696,488873,757629,-1,-1,580130,521251,610465,665741,641772,786194,-1,865934,-1,-1,588286,-1,-1,489909,-1,-1,286701,-1,-1,146412,-1,-1,-1,-1,592298,-1,-1,-1,383017,-1,888085,-1,-1,442526,296183,-1,-1,13642,-1,3991,490438,-1,845406,-1,-1,-1,-1,690658,308484,184798,806245,614343,129464,327893,595586,-1,150373,-1,-1,-1,-1,796034,-1,-1,589914,996376,796989,748898,-1,-1,512807,-1,79108,-1,-1,-1,290751,228030,-1,777764,402578,447326,-1,429104,-1,-1,-1,196842,-1,-1,563210,-1,-1,985747,-1,-1,143006,211169,180307,-1,439365,885189,420015,-1,-1,-1,200015,-1,-1,649681,938549,-1,-1,-1,-1,13784,280988,501842,788065,367516,-1,437115,-1,505172,-1,-1,444206,207725,975721,505277,735127,476135,-1,869597,459373,10213,-1,-1,148331,358710,388421,-1,-1,-1,987969,763769,-1,-1,369103,455698,-1,954619,600699,-1,501383,-1,-1,-1,-1,760567,977098,-1,-1,780354,-1,-1,-1,-1,-1,-1,4611,705019,396800,-1,596613,-1,136027,-1,803052,-1,244523,-1,-1,-1,502935,-1,-1,249846,-1,-1,502408,-1,-1,696521,190644,-1,811957,121682,746284,580518,-1,693572,-1,535042,959291,-1,-1,-1,940679,594587,-1,687964,-1,-1,697981,-1,-1,510816,525426,810685,852993,939484,1328,-1,132012,-1,842050,322085,767358,872454,180554,12193,749930,760669,473846,679090,-1,820685,-1,-1,-1,468496,345135,429987,571836,695000,-1,439646,942940,671281,-1,590043,-1,-1,769285,-1,-1,951218,757521,764686,614332,-1,-1,489176,285156,578736,380237,-1,-1,-1,10244,669272,262056,-1,-1,-1,841777,266183,186185,162946,-1,-1,-1,-1,188948,570062,-1,494039,-1,-1,-1,-1,974091,390799,-1,-1,-1,460793,-1,31964,556215,-1,766371,-1,356978,-1,637872,435885,-1,899853,654667,-1,-1,256417,780341,857140,274663,614084,711282,-1,765434,936849,-1,536806,559070,138309,409442,-1,-1,-1,54394,149109,-1,-1,431145,-1,666750,486112,642179,100604,-1,388667,-1,-1,-1,514958,-1,-1,172007,-1,223308,-1,844515,125170,-1,-1,-1,-1,372969,687622,836477,-1,-1,-1,-1,-1,-1,509298,-1,401030,656054,-1,-1,684444,-1,956920,-1,45795,-1,-1,-1,-1,273195,276820,-1,-1,-1,-1,821216,-1,809897,452315,-1,-1,644999,464854,-1,573083,-1,860938,-1,-1,310878,665112,427736,-1,-1,-1,764516,844350,-1,462697,-1,-1,977841,660022,982302,902897,-1,412343,-1,-1,-1,500674,-1,-1,-1,954376,404103,54017,-1,947942,395582,191868,-1,-1,13591,-1,-1,-1,526711,-1,738655,-1,-1,-1,-1,-1,-1,249449,-1,-1,-1,-1,457440,258441,-1,338229,477576,622361,189306,770494,-1,-1,-1,-1,136289,-1,-1,114886,-1,-1,-1,906917,-1,29629,-1,-1,-1,-1,-1,731416,183052,722919,-1,291663,-1,570061,-1,-1,339943,-1,577264,-1,-1,-1,-1,-1,-1,-1,349615,-1,507395,149283,923678,-1,331053,-1,-1,866476,885874,-1,709389,404094,556532,88088,-1,915092,-1,-1,620113,-1,151644,-1,-1,-1,973473,-1,-1,-1,-1,-1,-1,-1,-1,698013,-1,943879,-1,124181,-1,613037,-1,-1,-1,-1,116218,-1,699655,-1,-1,-1,-1,211276,776824,-1,847596,-1,256544,-1,-1,33827,-1,-1,-1,-1,370411,866543,-1,-1,-1,-1,318895,32405,987012,226880,5103,4291,-1,468561,154537,-1,-1,-1,117139,-1,-1,70663,307448,-1,-1,-1,-1,-1,-1,-1,99786,316372,-1,312824,858852,114019,-1,188949,31935,-1,995737,541832,9657,527226,443355,-1,-1,-1,198183,311608,197915,-1,-1,-1,-1,682824,283068,249209,-1,-1,-1,-1,725344,-1,469762,477275,-1,-1,-1,16819,70231,-1,615896,634000,-1,518245,352673,-1,734234,-1,8980,-1,-1,25754,-1,175090,-1,-1,249418,-1,619647,203132,85020,-1,370674,639258,-1,274115,711502,-1,920574,-1,425679,-1,506252,411642,-1,-1,-1,959108,652983,534491,215483,833928,-1,102998,-1,-1,94222,162275,93518,734241,225429,835455,-1,-1,-1,-1,370661,-1,721545,200185,150614,783358,338884,362417,-1,-1,331629,609934,372574,405154,937155,938545,-1,-1,-1,181836,-1,562150,221817,91854,-1,990840,856056,544419,210671,407548,449836,115972,-1,-1,-1,839856,849970,387540,-1,-1,365413,-1,940935,-1,-1,685365,-1,-1,-1,555424,802706,471142,244452,45401,724779,-1,817620,890849,709173,-1,-1,373773,426624,423378,-1,718003,-1,599237,361070,-1,-1,-1,-1,-1,535335,846020,506612,70851,-1,79886,431675,315296,20314,-1,49096,-1,-1,-1,-1,-1,-1,-1,-1,687753,-1,112197,105682,-1,-1,589473,-1,-1,-1,-1,418866,-1,31412,407269,791385,-1,274796,564538,624002,-1,979794,365920,-1,-1,-1,-1,778437,-1,-1,-1,-1,586352,-1,-1,-1,-1,554654,580440,-1,-1,6929,459964,543293,-1,923890,556665,-1,127188,-1,-1,-1,-1,804098,-1,-1,17818,589276,416936,-1,94420,-1,994138,-1,186269,894937,371293,-1,-1,-1,460562,-1,-1,-1,105282,537145,302649,293990,-1,197145,883501,3218,-1,-1,903754,549110,74964,-1,434773,-1,435811,-1,-1,-1,-1,469716,94991,174748,399837,-1,-1,428226,891715,620146,-1,327703,-1,-1,-1,81950,-1,135948,873595,-1,12926,-1,-1,-1,-1,-1,-1,610921,285279,-1,-1,-1,-1,41400,-1,308764,-1,994863,704752,668505,366254,-1,282035,578260,536722,-1,-1,-1,595757,-1,782949,-1,537180,756487,-1,-1,673689,940203,253393,-1,-1,-1,-1,526528,-1,-1,-1,563198,-1,478937,256653,-1,-1,-1,274267,437910,-1,-1,-1,306216,708102,980123,-1,634372,921974,-1,751825,-1,661948,470340,-1,193214,-1,-1,109143,-1,-1,-1,744256,-1,76751,570164,284863,741802,908310,-1,544224,371622,896851,782493,985545,-1,-1,-1,868045,-1,680922,818127,-1,850164,-1,680198,-1,356667,-1,-1,630331,-1,-1,774011,-1,405228,-1,100328,-1,-1,-1,-1,-1,47708,266477,-1,-1,455545,-1,-1,903163,990267,739818,-1,-1,722013,-1,-1,268915,571074,446777,334845,-1,-1,581814,-1,855645,-1,-1,562585,954781,-1,-1,271975,763370,-1,261871,-1,512165,376031,720638,-1,44679,-1,-1,-1,-1,-1,-1,-1,272464,-1,801822,41263,-1,-1,501251,594116,-1,-1,-1,197935,-1,-1,-1,-1,745139,-1,829578,872744,240379,463881,-1,202251,228356,-1,679360,107329,458210,841102,-1,363291,610673,-1,413195,-1,-1,748818,-1,241534,965641,-1,419648,451048,-1,-1,-1,189802,-1,-1,-1,923206,-1,67522,-1,-1,-1,-1,265785,496152,-1,-1,-1,271033,841153,-1,174627,507140,-1,883551,-1,-1,947969,-1,-1,708614,782869,-1,859293,328595,782563,8798,-1,-1,885579,512035,477102,733690,-1,-1,308789,46170,-1,-1,452528,-1,302163,-1,-1,369299,-1,-1,566123,-1,468771,-1,880430,-1,400828,893357,-1,-1,-1,-1,541585,359823,-1,465530,592446,154572,416153,-1,238999,120775,-1,62897,151542,-1,-1,-1,934509,320934,-1,-1,525565,841293,-1,-1,209294,2901,-1,-1,-1,-1,513878,973729,-1,-1,939587,225370,-1,-1,-1,907422,-1,330083,-1,-1,585255,-1,696113,375563,279725,522034,290079,-1,-1,-1,483595,669933,-1,438194,-1,628636,59640,302139,-1,395569,702225,-1,-1,-1,-1,-1,478966,-1,109743,176135,-1,-1,-1,-1,-1,545671,874470,-1,29708,-1,-1,-1,-1,768257,826183,799557,416204,323153,-1,-1,691078,-1,-1,-1,281828,-1,-1,172884,533759,691046,-1,209765,984566,-1,187340,921162,51884,-1,-1,-1,-1,-1,-1,745442,-1,31862,-1,-1,-1,-1,-1,445688,-1,859287,625093,-1,494480,217467,-1,-1,-1,-1,18055,-1,812280,367320,-1,789305,892887,-1,269023,-1,-1,32731,752702,-1,-1,873667,-1,411720,24865,-1,569825,-1,106783,-1,388724,687333,-1,651862,-1,727904,-1,110254,-1,801650,-1,580876,253612,408943,-1,901610,-1,921915,-1,587198,246289,552137,-1,-1,200760,378663,227016,302716,-1,893505,-1,716716,-1,782175,316743,-1,-1,-1,-1,-1,282495,978509,212828,66661,856334,222594,-1,-1,378631,-1,-1,-1,395951,553722,-1,706517,-1,792255,-1,629460,-1,-1,-1,-1,320874,-1,902840,-1,349851,372345,-1,733843,-1,-1,-1,559904,939807,171024,601881,800755,212490,-1,-1,-1,-1,-1,710011,-1,319659,102361,940063,25903,212085,-1,-1,-1,-1,275325,932008,-1,132523,-1,-1,-1,-1,-1,886767,502679,541271,-1,687688,-1,-1,-1,551717,-1,673511,-1,713415,347545,-1,307866,473317,-1,642970,-1,84680,-1,855963,-1,-1,-1,849491,-1,-1,73898,543752,518292,399429,-1,222868,-1,755679,683718,-1,-1,285224,108136,-1,-1,356422,-1,-1,867047,-1,-1,231020,141046,-1,545667,-1,491786,-1,-1,629180,875402,53809,786476,-1,-1,361622,-1,135881,-1,498205,-1,102104,468921,-1,65690,-1,644033,504280,445209,477218,-1,135809,-1,-1,-1,125890,982014,222966,106032,707701,-1,-1,-1,88612,205800,293783,-1,779009,-1,972086,958712,587451,-1,966997,-1,-1,-1,-1,-1,-1,-1,471077,427430,29174,130826,656359,466509,-1,-1,-1,231271,189771,-1,-1,984930,358032,-1,403657,468623,558784,609093,-1,54497,917403,-1,-1,319988,934988,-1,-1,764226,-1,-1,523399,266727,-1,565692,-1,-1,-1,883647,-1,133279,741140,804876,-1,-1,-1,816954,-1,-1,-1,292705,-1,-1,664670,374188,-1,-1,79446,723382,-1,-1,-1,153345,-1,839229,159325,916186,-1,-1,284109,-1,344288,698726,-1,671563,985286,-1,57855,202503,711145,-1,937661,253900,-1,-1,-1,-1,-1,743276,117541,-1,-1,202427,163919,-1,-1,70237,817459,-1,-1,356156,-1,154026,927369,872670,28897,873933,990405,497739,638463,578955,402147,-1,993796,337812,-1,-1,442740,980183,-1,802765,936189,-1,-1,-1,-1,-1,176571,330631,-1,-1,770576,453754,609584,802943,-1,653710,-1,-1,-1,-1,-1,104514,549488,-1,-1,-1,768337,401532,-1,-1,-1,-1,453533,-1,-1,-1,-1,737095,-1,-1,-1,1031,711568,-1,769030,-1,377157,-1,-1,354758,542715,-1,722640,-1,830400,331442,299751,-1,-1,-1,-1,975017,885151,-1,814183,993986,361008,663861,478758,801326,888414,465806,-1,-1,937355,142382,674293,8672,-1,-1,-1,327928,-1,-1,956672,554598,-1,-1,150296,638651,5895,711133,-1,-1,733236,733085,883046,789097,-1,-1,-1,118142,108687,786162,-1,-1,-1,-1,676188,-1,-1,809184,-1,558943,668669,-1,-1,153308,989666,645626,-1,309807,-1,-1,668371,-1,702340,-1,-1,-1,26534,51831,802966,673373,-1,-1,-1,-1,-1,-1,-1,448711,-1,-1,725833,-1,-1,-1,131217,99082,350860,973900,150625,470706,-1,-1,-1,395956,-1,748630,-1,908786,-1,-1,-1,672433,424228,-1,394852,-1,-1,625287,946655,225525,859036,-1,-1,-1,766253,907542,-1,661358,494850,903981,980476,806239,898231,-1,737784,-1,-1,316090,297247,321347,-1,147143,939649,-1,-1,954741,267085,-1,694389,-1,-1,996833,240108,-1,861386,12986,378433,242915,-1,-1,337911,114156,-1,-1,25210,618670,932088,746126,899332,-1,737863,884696,936076,863867,-1,97398,344730,-1,-1,762467,746376,330267,-1,568159,-1,-1,872521,-1,511282,350016,315885,309549,-1,-1,392921,211503,418584,-1,286716,-1,-1,-1,-1,-1,184560,-1,326557,-1,739974,773953,-1,156219,402114,-1,952140,857739,-1,896603,-1,374374,-1,-1,147435,188037,-1,724597,-1,433930,760836,-1,-1,270901,795627,707820,441739,895157,-1,306431,-1,-1,626652,-1,-1,353410,867933,129619,-1,-1,-1,99727,467538,899123,-1,-1,-1,71180,-1,324064,549596,344907,-1,575332,-1,-1,63873,-1,-1,-1,679057,-1,516523,-1,420651,-1,-1,-1,-1,414527,448775,50892,646010,16487,-1,-1,182566,648107,908795,-1,-1,-1,564779,574120,955710,72785,-1,-1,-1,-1,-1,923126,-1,-1,-1,470846,-1,-1,801090,-1,370231,-1,-1,-1,-1,-1,949008,1046,366099,-1,228410,991414,-1,531092,-1,-1,515303,-1,174698,388545,-1,-1,-1,-1,-1,2331,31801,-1,-1,-1,826368,-1,-1,-1,-1,310251,190805,677430,41261,875893,-1,-1,901217,35727,-1,388055,-1,-1,346579,93311,-1,374114,-1,210545,-1,771279,-1,177629,-1,92571,443575,583942,522724,323324,620477,-1,-1,-1,-1,-1,864751,-1,11993,391265,285276,368577,12648,-1,613693,250284,40896,-1,724785,-1,977849,828817,-1,316764,-1,-1,325876,-1,-1,-1,-1,783466,617953,737587,982945,-1,55534,871445,950519,-1,423190,-1,741411,-1,-1,830041,204737,727641,-1,-1,-1,110200,-1,2589,634546,437203,507065,-1,-1,-1,-1,443071,-1,62748,355270,923996,110187,-1,-1,22051,-1,-1,-1,623051,671644,388652,-1,836779,-1,987608,-1,154268,-1,760994,493314,271879,-1,199937,-1,-1,-1,88298,-1,367002,366791,240242,311359,758463,630492,-1,-1,-1,571143,730131,893564,428705,-1,-1,877937,-1,-1,-1,91942,-1,16597,-1,710596,89456,333984,-1,38112,605140,970961,-1,832549,599940,895745,-1,855612,-1,623783,-1,220259,899831,-1,-1,311805,-1,728747,383488,513149,119396,-1,650487,-1,-1,-1,-1,764546,-1,-1,-1,-1,189082,944809,941172,430371,-1,-1,261897,660673,208418,-1,-1,-1,-1,303422,-1,-1,884522,312307,937358,-1,156746,600487,185007,-1,-1,433788,-1,-1,212571,322808,-1,425724,-1,950445,-1,645164,-1,94741,-1,-1,-1,42591,-1,68523,-1,695077,-1,-1,537226,587532,-1,-1,489887,904311,574816,777575,452280,-1,-1,616290,-1,696295,11380,-1,-1,-1,939644,482351,-1,-1,-1,470166,-1,205014,133725,-1,-1,305194,-1,-1,-1,413021,-1,907398,-1,-1,-1,-1,423643,-1,-1,-1,-1,-1,462349,-1,-1,-1,-1,52218,-1,-1,332637,786102,620650,70325,492367,-1,198535,510793,295911,-1,-1,236024,744943,-1,248645,-1,-1,-1,-1,697108,458230,560600,-1,-1,109145,-1,-1,-1,867064,197821,274921,762926,-1,-1,-1,915017,-1,142487,342013,-1,-1,-1,-1,279203,-1,-1,-1,784934,-1,-1,208378,-1,979704,-1,-1,626026,422679,-1,577620,-1,380412,12970,959839,-1,458425,-1,834739,183443,-1,701293,626581,-1,926955,-1,-1,10237,679951,204771,-1,-1,731039,62721,-1,987401,-1,710720,46099,-1,-1,-1,-1,-1,-1,-1,761062,677367,-1,-1,-1,-1,963760,591498,-1,-1,529233,-1,167508,515694,208843,541055,599963,429924,-1,958183,868253,947132,177151,91038,923167,-1,221725,-1,-1,906884,-1,350000,601277,588419,95115,-1,217657,667237,-1,-1,666981,34784,-1,-1,959088,-1,914808,-1,132774,94958,305398,-1,-1,956329,387845,-1,-1,508194,305799,-1,836676,222194,23210,845246,857063,911475,975955,680509,-1,-1,-1,-1,675547,847952,956886,-1,69292,-1,-1,541453,-1,590085,-1,-1,-1,746517,-1,871970,-1,618158,-1,-1,929586,784167,-1,491190,891331,-1,-1,416112,-1,160172,-1,277768,-1,23623,-1,13865,880886,-1,609748,-1,633630,540415,350708,-1,734800,-1,284958,403706,909299,595415,211122,-1,478197,364847,-1,872869,-1,598187,-1,-1,683720,347993,170997,-1,79652,-1,673480,416988,-1,765770,90211,-1,558953,-1,209571,-1,687268,825549,508653,-1,848912,-1,-1,-1,21977,-1,-1,-1,394493,-1,-1,-1,-1,924958,567012,898672,-1,-1,-1,584930,560648,184180,-1,-1,-1,538849,-1,727121,-1,-1,-1,-1,-1,-1,356326,873977,-1,977527,-1,578499,-1,-1,-1,24496,-1,-1,947495,671348,943902,310161,42639,-1,-1,739563,971659,-1,867728,-1,66440,-1,703712,288858,35045,-1,310517,-1,-1,-1,-1,534086,-1,876954,-1,-1,-1,163091,-1,-1,-1,-1,530109,296356,648544,851313,32902,690271,-1,-1,-1,735667,65284,22390,346080,-1,767136,-1,-1,332785,-1,331189,-1,-1,-1,292387,636477,618687,58318,-1,-1,142029,-1,-1,1141,841830,-1,-1,-1,-1,746471,59813,-1,793829,-1,-1,-1,-1,187480,-1,213177,523308,-1,421260,593390,97610,-1,-1,-1,-1,48865,-1,-1,442070,711069,-1,301964,-1,-1,-1,489678,-1,201984,523679,-1,-1,-1,217965,194072,-1,46956,685641,124333,462064,-1,-1,82334,710820,988432,-1,963394,516995,-1,114832,286245,234863,-1,658001,791568,896837,-1,503930,251419,-1,172614,672956,-1,-1,-1,788774,-1,6531,-1,-1,567432,556979,-1,-1,7693,-1,-1,939739,-1,981704,185585,645575,-1,560371,-1,-1,772253,615843,192257,394519,223730,-1,343245,689422,-1,-1,520100,705160,112152,370444,294602,637101,-1,14419,806076,-1,491503,-1,108177,554240,-1,-1,-1,657200,407536,-1,-1,37581,-1,297041,-1,-1,193300,174889,-1,-1,-1,-1,-1,536198,873457,-1,-1,-1,-1,705481,-1,-1,-1,-1,194672,796739,993599,-1,778673,538089,79056,-1,-1,-1,-1,-1,351794,-1,-1,-1,-1,792722,385717,-1,233858,-1,-1,-1,37928,-1,-1,-1,306906,974097,-1,954245,186149,290862,-1,-1,-1,-1,-1,654623,710390,173319,628455,998854,940925,-1,774617,-1,-1,481430,706295,354920,-1,-1,26939,912166,356827,108551,202672,837824,269666,485881,814619,190226,844993,683100,279679,533362,-1,293000,565111,669707,267393,-1,39802,195728,-1,700307,-1,479699,848744,-1,-1,605199,367517,-1,-1,69767,-1,144746,571763,-1,610614,-1,367560,633002,997936,-1,-1,-1,904245,-1,31955,-1,-1,782403,178904,504123,184150,-1,904197,198657,-1,-1,382134,-1,-1,-1,903276,-1,32690,28481,337233,-1,480067,89081,940547,-1,-1,-1,-1,-1,-1,-1,930267,-1,-1,456279,849199,-1,-1,-1,-1,-1,-1,533960,542974,590783,384672,-1,922231,200555,-1,-1,481311,-1,-1,369659,313705,-1,984369,-1,-1,-1,255375,950038,841961,-1,-1,433344,-1,-1,-1,442696,-1,437449,-1,-1,-1,394994,-1,289365,128905,198426,448943,-1,-1,133643,-1,594289,-1,368593,-1,-1,-1,-1,9918,686692,-1,774125,-1,-1,591274,-1,352192,639988,245552,316731,241143,-1,-1,13065,-1,207395,937959,414379,-1,810901,124450,-1,-1,-1,-1,332060,94858,-1,-1,-1,503217,607755,88682,58709,-1,837653,778790,-1,-1,286752,272211,-1,366386,377441,178821,25465,-1,-1,-1,925320,-1,981446,-1,-1,733517,-1,-1,157356,439231,-1,-1,-1,-1,770461,-1,684143,-1,601129,-1,278202,-1,-1,-1,-1,-1,267225,-1,578109,-1,-1,-1,-1,-1,445117,-1,440231,297054,943491,-1,-1,-1,-1,133732,527434,-1,-1,-1,-1,681384,-1,16945,-1,-1,-1,533510,-1,710856,-1,-1,672878,-1,202402,-1,845445,-1,-1,172958,-1,-1,-1,450701,121151,319497,-1,65120,-1,386806,837916,976199,252779,499159,649433,-1,938202,543058,-1,-1,-1,-1,137959,540819,-1,-1,-1,-1,-1,-1,-1,-1,753839,639073,868261,719311,-1,907283,-1,775373,-1,-1,-1,-1,802487,-1,-1,-1,34453,-1,-1,993223,-1,-1,-1,96106,661757,-1,784530,-1,541137,-1,-1,-1,556051,-1,-1,614916,-1,258402,681387,-1,503682,513913,923675,123220,-1,-1,913073,-1,-1,-1,689610,913265,-1,-1,-1,-1,-1,-1,-1,410075,480489,630439,-1,629855,501476,998836,-1,-1,164614,847783,-1,-1,-1,-1,-1,245890,-1,-1,982731,527777,-1,-1,-1,198482,-1,-1,-1,-1,-1,548632,287925,817843,-1,-1,-1,630653,-1,999883,-1,-1,486440,-1,429707,230919,938083,168594,-1,389070,81294,-1,63742,413812,789755,-1,279130,136517,626322,-1,-1,514765,-1,995696,-1,-1,83463,-1,-1,637678,731534,-1,949519,182659,-1,14388,-1,855670,872125,-1,-1,-1,-1,272460,-1,556027,-1,-1,66381,-1,36386,840429,-1,784864,-1,689137,771864,362364,-1,156698,-1,792422,-1,-1,983254,-1,-1,12389,-1,-1,-1,-1,473357,563284,227920,-1,-1,190051,-1,996095,-1,110102,-1,-1,-1,283745,529756,237046,201198,-1,536755,901151,-1,-1,540859,-1,-1,-1,-1,-1,-1,889869,123669,906111,301358,-1,-1,724845,-1,7098,73023,-1,291262,460205,-1,-1,159354,201438,-1,-1,-1,-1,546478,-1,-1,246469,258764,430538,393374,963998,403177,-1,-1,838822,395869,324169,-1,-1,-1,-1,429162,-1,749929,-1,-1,548823,571649,830107,-1,684285,-1,-1,901057,-1,-1,-1,68084,-1,708975,85856,45649,280470,-1,493850,-1,33645,-1,-1,936293,389860,-1,-1,-1,582952,313275,-1,361164,217353,-1,-1,-1,650742,-1,607440,450395,643197,940198,747110,363115,945207,310607,-1,-1,-1,352272,620464,68975,-1,721999,-1,-1,891622,-1,-1,642615,-1,322067,910092,899569,794171,-1,855475,357100,-1,339900,643460,-1,741555,-1,-1,626230,9220,628519,887536,-1,379515,-1,-1,-1,954925,-1,967912,-1,-1,40437,-1,273810,31315,242003,910555,688475,-1,-1,709124,-1,-1,225652,222845,140242,592962,616461,689935,-1,-1,-1,117592,273883,312434,892585,573895,-1,653042,-1,784694,146599,-1,115449,-1,-1,-1,-1,733461,79370,854840,-1,59671,10639,644468,366811,742351,-1,-1,305544,475933,245021,-1,776375,930611,730741,-1,-1,-1,186912,97959,-1,878905,-1,-1,455663,988159,-1,66471,-1,-1,602052,965425,625967,-1,-1,934928,682421,899548,-1,479569,-1,274361,221050,-1,485872,-1,-1,633866,719441,116653,312506,-1,882419,-1,811720,491838,-1,-1,-1,-1,-1,-1,558201,-1,-1,241704,719363,328854,584893,781217,587484,589990,-1,726618,-1,940294,491505,927976,-1,-1,-1,-1,-1,-1,-1,973575,-1,-1,320855,783654,986794,943591,355314,-1,566233,325276,-1,-1,-1,-1,-1,21850,-1,673293,63834,-1,-1,37968,-1,773848,-1,134375,859753,-1,726296,-1,826687,70727,229157,-1,-1,-1,-1,-1,602974,28093,-1,-1,-1,405529,264254,220328,482575,600627,-1,-1,-1,235831,935089,750235,-1,843418,374122,-1,979708,-1,-1,-1,819157,-1,454627,-1,446782,-1,843010,507113,-1,-1,822281,928581,-1,997322,884141,-1,997415,-1,247956,38250,461944,506109,399661,-1,670363,61437,-1,872528,-1,645249,-1,560367,323672,-1,672697,428078,-1,-1,-1,-1,-1,-1,-1,923672,960472,725596,9953,-1,106133,-1,641520,279113,637780,87924,-1,-1,848402,826958,136640,480606,-1,196993,649885,253401,32599,-1,-1,-1,-1,-1,-1,-1,-1,59651,131467,771768,948933,403950,496549,-1,-1,-1,221932,-1,-1,149294,-1,308411,640404,-1,-1,-1,-1,-1,-1,-1,-1,-1,624182,-1,-1,-1,607754,-1,-1,295875,365679,-1,-1,-1,635637,-1,837377,795304,-1,869995,-1,147244,-1,-1,-1,326763,586506,-1,-1,-1,-1,546869,871132,112628,-1,-1,-1,958138,416679,-1,644228,603770,582726,-1,945699,606849,803744,815080,116915,787290,-1,762796,-1,741078,-1,-1,934869,-1,561704,-1,995322,-1,-1,-1,-1,-1,-1,768715,348888,-1,-1,405782,-1,509702,-1,-1,337362,453006,-1,857292,646310,268597,-1,-1,-1,749549,844153,-1,-1,-1,581438,-1,-1,683621,-1,-1,-1,25041,-1,31919,210847,-1,26987,459321,258192,826676,490766,-1,-1,865653,-1,-1,431512,636825,-1,-1,-1,-1,-1,363887,-1,-1,151650,199962,440933,-1,-1,34997,923584,856886,812019,-1,847555,324929,-1,-1,601593,232439,-1,61166,-1,-1,-1,524493,-1,-1,-1,-1,-1,-1,384514,-1,-1,-1,-1,490223,585353,-1,-1,-1,-1,-1,-1,230568,-1,-1,-1,-1,-1,-1,-1,740473,-1,288615,93110,-1,-1,-1,-1,-1,453611,806711,-1,273964,848560,-1,-1,123693,866448,-1,178644,-1,-1,-1,-1,-1,475340,-1,182373,309958,434109,139441,-1,-1,761930,-1,-1,-1,-1,340715,721061,-1,677378,-1,-1,694644,-1,305952,-1,-1,-1,362113,-1,672051,-1,-1,384344,-1,195416,662164,-1,255445,-1,-1,-1,774805,902428,-1,839520,-1,-1,153323,414293,-1,-1,-1,-1,537678,-1,376113,-1,-1,857146,-1,-1,-1,190170,649027,-1,-1,342844,270524,154022,-1,10628,-1,-1,51325,-1,-1,-1,-1,688681,-1,-1,204243,752967,-1,-1,-1,61485,821118,-1,-1,-1,561331,-1,-1,-1,-1,-1,632216,354719,-1,796575,434411,573736,-1,923220,-1,-1,585059,-1,791959,-1,182465,-1,-1,155989,729824,-1,850886,-1,773203,-1,296712,291276,-1,747680,-1,839837,-1,218522,-1,-1,-1,266294,-1,-1,-1,-1,-1,758787,-1,-1,-1,-1,406344,811875,990149,-1,-1,470919,449112,114040,-1,-1,-1,684753,-1,960358,210228,85287,839602,362207,-1,368932,-1,-1,-1,-1,353963,203465,427214,-1,-1,-1,-1,-1,-1,-1,-1,61800,345930,155606,-1,159244,425489,-1,-1,-1,867273,153285,127181,930199,-1,-1,374140,653948,388443,284164,203300,884515,56760,241833,-1,199611,-1,-1,-1,-1,-1,-1,582979,-1,147918,-1,-1,-1,878580,887908,2085,-1,697540,382589,192331,-1,928973,-1,36852,465930,875799,8286,363358,-1,-1,-1,406655,-1,817398,-1,672107,-1,75418,-1,-1,721016,-1,-1,-1,-1,-1,-1,-1,207893,767254,-1,-1,-1,258550,-1,583319,-1,-1,-1,744866,-1,-1,361157,113137,-1,683267,-1,788521,269414,75185,-1,414352,124219,259131,137870,959470,44362,986673,656263,-1,-1,-1,-1,171753,-1,-1,203100,-1,359108,459790,972365,574379,-1,386122,587351,485762,-1,-1,-1,506576,-1,192914,170384,792181,150692,329825,-1,472000,801151,-1,-1,-1,-1,-1,-1,-1,691166,-1,874476,-1,-1,-1,408498,-1,-1,272455,-1,94794,-1,-1,-1,449902,223812,-1,-1,-1,-1,982122,892205,500174,511334,-1,516913,-1,-1,-1,55589,475621,-1,598523,-1,-1,830493,107175,-1,912107,-1,773072,-1,-1,-1,306041,-1,-1,541506,14738,437485,-1,538601,141116,-1,961523,-1,-1,973413,-1,692013,501049,280758,-1,799941,-1,274125,-1,-1,659747,-1,-1,-1,909019,12287,-1,-1,-1,-1,-1,691370,966906,-1,751312,-1,106972,-1,-1,-1,-1,-1,223697,841184,-1,-1,982827,251507,-1,-1,-1,-1,-1,67693,-1,-1,-1,-1,-1,155689,689415,-1,883729,80929,563925,392897,-1,-1,304783,281967,-1,540662,-1,585607,-1,-1,777185,-1,-1,169996,538023,275583,-1,177144,379849,-1,928085,-1,938629,975547,-1,-1,128068,358231,-1,142129,-1,921675,916895,961198,-1,-1,203093,-1,876587,92650,40880,57574,398683,-1,417652,821289,-1,-1,562851,644082,-1,-1,-1,564472,22191,-1,-1,-1,-1,-1,51165,-1,884862,-1,-1,-1,-1,-1,-1,-1,666896,420997,-1,199348,-1,338721,245133,-1,-1,229849,-1,-1,-1,-1,-1,36767,-1,128611,-1,48036,-1,34973,736393,631670,-1,-1,-1,268101,868893,-1,-1,-1,39714,366128,-1,720577,-1,386993,-1,797812,-1,674279,219636,29191,163467,-1,726991,-1,-1,848859,891722,-1,755111,-1,-1,-1,-1,100139,867062,935767,730369,913935,68240,-1,-1,-1,803084,-1,-1,908813,279719,-1,967341,-1,-1,-1,-1,569933,-1,367136,-1,299394,978310,-1,-1,-1,250591,-1,680918,-1,413005,-1,32484,581433,579649,852562,-1,-1,115941,-1,-1,-1,219156,-1,-1,-1,-1,21169,598552,-1,-1,876396,-1,-1,876395,407700,730213,-1,-1,793811,512351,596249,628744,579012,843087,-1,-1,-1,810892,-1,635166,-1,-1,831845,879486,660578,-1,88809,-1,-1,-1,835655,645515,-1,-1,914883,286235,-1,-1,-1,181455,-1,805652,-1,576501,-1,-1,-1,-1,-1,-1,588410,-1,-1,985810,825753,354600,-1,-1,918001,-1,-1,-1,639046,115892,-1,-1,378541,9812,-1,-1,99176,-1,864380,-1,-1,678304,512510,-1,-1,-1,683156,944171,249089,367661,-1,-1,218629,275888,375643,-1,-1,442747,317989,154748,210737,-1,266889,590398,-1,445573,755788,92505,799101,-1,-1,-1,-1,156217,500320,674026,-1,-1,-1,506763,286502,-1,736577,-1,936258,68603,-1,564733,-1,941478,-1,319919,247608,504024,482793,471285,-1,326472,-1,212069,326483,330646,-1,-1,322526,308866,657165,747294,266442,462424,897667,-1,126812,186909,-1,959049,402414,-1,-1,582214,710157,-1,-1,212076,-1,583324,-1,572197,-1,244057,-1,130258,271793,82592,-1,-1,531528,-1,583170,-1,-1,919763,581709,-1,-1,-1,-1,-1,-1,188874,-1,216216,-1,-1,-1,487695,756686,510914,391129,-1,-1,964701,745526,943002,-1,-1,-1,-1,-1,552614,188538,-1,-1,102786,-1,377599,419609,-1,-1,491535,211996,468090,74657,-1,-1,-1,-1,-1,244355,-1,-1,-1,-1,-1,507488,462809,399974,289639,493572,180385,59156,376207,854317,-1,-1,-1,-1,-1,-1,-1,627073,-1,-1,-1,-1,-1,-1,-1,705514,-1,871124,-1,428,-1,-1,618286,17785,-1,406921,-1,-1,-1,-1,-1,-1,-1,-1,40363,659817,829565,275092,468439,-1,369400,-1,705379,-1,520787,-1,915232,-1,-1,334233,915078,-1,-1,109440,87274,256863,564926,-1,43203,-1,354995,118827,943453,-1,157639,-1,-1,-1,384683,707879,-1,-1,-1,-1,-1,-1,-1,424527,498129,794341,-1,-1,-1,628599,43415,-1,-1,292893,196526,227182,190420,-1,-1,-1,76381,-1,872690,-1,-1,-1,-1,-1,-1,621828,336543,626777,897961,601217,-1,244373,498214,910305,14312,790724,-1,-1,212343,-1,-1,-1,-1,894940,53319,309463,-1,-1,-1,-1,-1,-1,-1,856083,-1,-1,-1,-1,-1,-1,-1,206292,-1,-1,-1,392824,217913,-1,983329,-1,409691,-1,863559,-1,28243,-1,59010,-1,923724,321399,-1,-1,-1,-1,281321,-1,645099,-1,201813,-1,962167,854955,377212,813921,979062,27807,634325,56291,565133,529600,92998,-1,-1,-1,567015,-1,723902,-1,124523,182887,772695,53857,-1,613440,-1,-1,-1,-1,-1,362177,55188,-1,695002,-1,582855,-1,59380,146012,666003,61436,-1,321329,107627,-1,-1,732846,-1,655464,806965,965392,-1,-1,711677,6572,690140,-1,47655,676287,545493,-1,-1,-1,-1,-1,-1,651876,650764,231756,796782,111189,215781,992315,43948,-1,360592,126967,-1,827327,89075,149850,584577,672803,811960,-1,245644,136329,-1,913492,408886,-1,616538,859212,-1,740651,198221,717799,-1,328979,594024,-1,-1,847978,-1,625649,-1,962234,502985,-1,-1,183397,-1,657267,-1,819024,-1,-1,-1,-1,356204,484459,-1,-1,-1,-1,512631,130675,855438,-1,751019,-1,575961,712569,-1,225778,-1,-1,611316,260733,575055,508684,-1,-1,82392,-1,-1,-1,92360,-1,343254,587960,721759,528875,961786,-1,-1,-1,-1,936365,341772,-1,-1,511880,682939,-1,995597,-1,709187,109431,-1,193003,-1,-1,138612,254832,245311,-1,-1,-1,274154,-1,-1,-1,539913,764447,126548,739770,230215,598614,-1,575511,659805,-1,191446,-1,-1,860667,-1,-1,761407,19362,-1,-1,983274,-1,163250,-1,-1,-1,959449,-1,-1,473920,851351,780818,-1,-1,-1,-1,-1,-1,-1,654175,323735,308577,875983,-1,299374,-1,825338,-1,-1,30509,517100,280901,884876,-1,118378,-1,828507,-1,771899,-1,138415,568226,696206,-1,-1,934346,-1,104897,-1,-1,550377,155348,-1,-1,-1,-1,-1,905405,584741,-1,160712,-1,962471,877061,-1,-1,824627,-1,629988,30452,-1,815021,-1,543408,-1,376786,-1,-1,-1,-1,-1,702869,222110,-1,-1,-1,-1,673109,-1,423481,-1,959285,921569,-1,462155,-1,263023,-1,-1,412021,-1,-1,93005,-1,-1,180103,-1,-1,-1,87895,554330,489706,-1,523420,35574,942042,-1,795744,-1,186854,574867,-1,-1,-1,-1,481828,488154,-1,988891,-1,923976,222848,285618,-1,119974,-1,-1,-1,750262,-1,-1,-1,577653,-1,642431,-1,-1,-1,292367,-1,-1,-1,79761,-1,-1,847389,387269,702863,-1,-1,748907,-1,-1,734114,32888,-1,197506,353026,340909,-1,-1,479666,359090,-1,670556,-1,-1,-1,584196,-1,-1,-1,391349,-1,-1,684715,308420,96791,-1,-1,814681,-1,-1,-1,635008,698681,-1,942130,-1,-1,598087,732334,924613,981358,464586,-1,-1,-1,-1,80645,-1,-1,659257,821043,640678,-1,654197,-1,-1,-1,369228,112077,-1,212022,-1,848034,-1,-1,368697,-1,-1,207370,980789,990891,602205,-1,-1,-1,-1,-1,-1,-1,141751,274880,-1,369680,-1,-1,580556,-1,467639,957135,-1,-1,-1,656811,581912,-1,-1,-1,779700,-1,488097,-1,734718,-1,724362,697852,-1,-1,-1,754440,132599,915811,-1,-1,881729,-1,-1,455983,421616,-1,-1,-1,-1,-1,-1,-1,-1,-1,105738,-1,741194,-1,490098,160520,510721,517835,-1,-1,-1,-1,789274,-1,301817,674617,-1,-1,-1,-1,-1,208646,-1,-1,172629,906831,641118,675247,-1,420446,749627,-1,721770,-1,579174,102647,-1,-1,-1,654306,-1,-1,63941,886413,-1,643887,-1,806764,207795,929010,246770,279343,-1,-1,-1,-1,266190,-1,752122,-1,534153,283968,-1,-1,493770,-1,413705,-1,982978,597453,309884,-1,-1,-1,-1,-1,-1,-1,84453,46579,821531,834173,180594,460040,-1,715089,-1,-1,-1,853448,-1,531639,-1,962874,386506,-1,-1,-1,948883,281807,-1,637786,-1,608621,-1,98844,-1,-1,736883,-1,-1,-1,-1,155232,-1,42104,-1,-1,-1,-1,-1,767112,643855,-1,-1,24297,-1,779328,-1,857479,170752,-1,909849,-1,-1,815547,-1,928750,-1,334656,757194,-1,872103,-1,-1,-1,-1,-1,-1,363534,873699,-1,-1,262874,828933,-1,-1,124022,257301,-1,100986,459894,333014,303710,-1,-1,-1,-1,944500,-1,164031,-1,-1,-1,537462,830560,432735,73302,-1,-1,388509,-1,599414,741130,-1,-1,-1,-1,-1,829964,-1,89961,-1,19501,398289,-1,-1,-1,862574,-1,-1,869573,-1,602160,162194,238529,603973,-1,-1,-1,25739,-1,586111,602812,229591,859198,768422,721286,972186,-1,-1,135573,-1,-1,-1,-1,962127,397378,-1,-1,110558,702142,180246,16101,119667,928145,304182,-1,-1,85372,-1,64072,-1,-1,-1,568762,989359,951766,461464,63874,-1,489182,-1,-1,783956,467536,-1,-1,-1,-1,552347,579913,963314,-1,299482,-1,-1,-1,-1,-1,483847,-1,-1,-1,845319,-1,469934,-1,-1,463950,40576,-1,51945,26429,-1,-1,-1,814014,-1,-1,703684,-1,-1,571599,802363,65220,861051,410247,-1,934839,-1,-1,436951,785570,-1,446340,-1,679131,443802,-1,483219,643572,133323,-1,-1,-1,-1,-1,-1,-1,-1,762472,114546,-1,-1,-1,-1,799329,581185,890906,-1,1448,-1,-1,-1,-1,-1,710065,-1,-1,934556,-1,538979,177685,-1,447962,388146,780697,179918,348737,94143,-1,84395,18956,797535,-1,308168,-1,-1,-1,369060,-1,208142,-1,-1,288039,377204,952366,-1,-1,-1,143336,-1,-1,155446,-1,703154,-1,-1,739239,449320,-1,-1,677526,327259,265478,-1,-1,640644,665129,-1,-1,-1,552702,711472,-1,978338,548117,-1,68352,-1,106310,-1,659762,432108,599476,807600,832242,-1,829134,-1,502111,-1,-1,-1,-1,-1,-1,646839,820209,-1,776776,-1,-1,-1,502938,-1,-1,-1,297925,876838,744635,-1,3146,78341,828089,642336,-1,49478,860006,936856,210135,362592,466398,-1,930855,535652,92801,-1,-1,564156,-1,60846,-1,-1,-1,-1,745855,866930,264905,-1,537638,929801,-1,684644,-1,222924,-1,772050,-1,-1,-1,900761,-1,550920,-1,-1,238220,339984,-1,-1,940233,626800,-1,-1,368419,-1,472185,-1,-1,325612,273931,342930,115241,-1,116230,924471,-1,-1,-1,-1,887881,-1,654945,-1,-1,-1,-1,71865,-1,-1,438250,507955,275856,-1,-1,102802,617881,863590,192911,588701,-1,689737,-1,322959,-1,458879,538197,480344,-1,-1,240367,263386,-1,830151,-1,-1,-1,-1,-1,-1,185368,725840,430870,-1,973017,619782,-1,345768,189876,534794,-1,-1,-1,-1,-1,-1,-1,820516,898895,-1,894354,650419,569998,331423,528095,173559,-1,-1,-1,-1,351176,-1,758513,710556,-1,477073,-1,-1,-1,-1,-1,306280,-1,-1,-1,708771,228858,142968,-1,449477,94805,-1,-1,224242,906776,-1,-1,611154,-1,854502,337780,38118,-1,-1,-1,-1,-1,-1,235947,771195,148348,40200,-1,879921,307897,-1,137753,-1,-1,-1,-1,-1,-1,-1,-1,-1,275569,936809,-1,235321,-1,-1,816662,885723,-1,-1,-1,753732,177742,140945,440137,525153,693976,510081,-1,447474,646012,83183,-1,81767,929812,-1,-1,81658,-1,805945,36399,-1,-1,207952,705800,76907,-1,745046,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,964104,409159,-1,-1,177600,167260,634336,-1,-1,497214,164116,52757,27102,-1,-1,612559,-1,-1,-1,820132,-1,-1,-1,-1,-1,531523,-1,959887,886214,-1,257128,949570,-1,277871,-1,132468,-1,175627,-1,43557,-1,-1,787559,-1,-1,-1,-1,-1,875824,913174,-1,560506,-1,-1,-1,-1,-1,910889,-1,8405,-1,-1,959601,790570,871172,-1,-1,411134,703525,711921,984398,-1,573343,-1,639647,628906,458896,-1,280151,712886,-1,-1,-1,822348,-1,212695,-1,21965,-1,-1,233690,-1,780535,-1,-1,-1,644474,302101,-1,193896,-1,-1,653285,-1,168174,-1,-1,-1,-1,-1,77973,9993,575684,-1,-1,-1,-1,551113,-1,-1,-1,-1,637364,-1,488508,521565,-1,596333,107039,-1,133700,-1,620009,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,56516,-1,-1,908929,658602,-1,-1,-1,-1,-1,-1,750593,906802,79105,397614,-1,702437,-1,444034,4760,-1,416717,-1,40456,808059,-1,-1,337216,953649,-1,846889,-1,-1,-1,635488,372406,-1,835160,514806,671517,-1,728249,-1,-1,740457,-1,44134,824142,-1,-1,-1,-1,-1,573755,-1,87086,-1,-1,383256,891554,-1,-1,-1,780938,69252,-1,751960,-1,300823,-1,945070,-1,967948,511735,-1,-1,738313,86270,377621,374392,432498,-1,661410,-1,486805,-1,931872,822053,-1,330239,-1,935126,162399,258118,-1,393881,34747,-1,323294,256259,-1,-1,677883,-1,-1,-1,-1,511188,-1,133608,-1,-1,520271,451121,-1,-1,-1,-1,162005,977300,-1,-1,-1,750445,-1,863503,78445,196090,-1,845653,434775,330666,-1,887743,-1,-1,-1,-1,-1,182124,-1,621288,898223,404286,530568,216578,555246,-1,120612,-1,-1,651879,-1,915720,172375,-1,313152,355232,-1,126650,-1,-1,-1,-1,-1,736497,-1,524495,360848,844698,-1,-1,903980,-1,501851,-1,-1,301663,-1,-1,-1,248845,-1,235842,28424,139429,-1,112818,976483,-1,602904,-1,16409,-1,-1,568047,117423,-1,-1,-1,-1,-1,802177,191930,788195,-1,-1,-1,-1,788215,-1,-1,-1,-1,-1,-1,-1,34920,-1,721867,-1,354521,869726,-1,-1,636144,-1,707643,859522,994835,-1,504110,788616,-1,-1,139732,-1,442665,550356,-1,429659,-1,-1,-1,-1,368650,-1,-1,555074,-1,-1,-1,-1,602701,-1,91414,7158,-1,-1,781086,784055,326543,-1,-1,971768,-1,-1,931768,-1,-1,427053,150573,-1,734238,-1,-1,-1,-1,-1,474058,213132,-1,577831,672164,-1,-1,713432,-1,397496,597407,779667,-1,456005,237858,492025,-1,89808,-1,-1,-1,267937,379558,525966,695202,-1,659471,849337,-1,-1,662285,248392,205157,50591,-1,-1,-1,-1,503726,-1,-1,510258,-1,433337,611132,972861,-1,-1,146892,170767,496742,25816,685583,969601,63227,484833,-1,628638,384331,487392,-1,478426,-1,-1,679030,149493,62349,-1,53113,479285,697035,-1,58844,-1,673670,538049,-1,539066,325051,-1,-1,-1,69578,-1,-1,-1,370735,456162,-1,382176,-1,977882,411278,-1,-1,-1,325591,-1,-1,-1,682092,146495,-1,747166,450918,922923,-1,953074,-1,380507,462345,-1,23306,735810,-1,468343,493315,97562,373800,-1,562531,-1,-1,-1,-1,-1,666060,780312,922024,526713,683298,-1,647791,598968,-1,755212,-1,-1,-1,531933,12803,-1,-1,-1,-1,799129,-1,343789,999082,764559,-1,253989,-1,61607,-1,-1,177632,966013,641227,505863,-1,-1,-1,-1,167423,454390,-1,743516,-1,849967,-1,650298,727462,331248,-1,654701,-1,992853,566415,340665,822489,691730,933613,479091,910354,-1,141178,196719,867254,-1,-1,-1,651199,516221,-1,-1,-1,51939,-1,897081,-1,460220,-1,-1,-1,-1,-1,-1,937766,-1,-1,-1,-1,-1,-1,-1,595549,277613,-1,-1,-1,829965,-1,-1,-1,293162,-1,-1,-1,-1,541088,-1,-1,-1,-1,-1,78641,-1,-1,-1,188126,-1,-1,-1,-1,723206,675760,-1,-1,762618,43589,89487,453802,-1,87522,-1,-1,-1,671053,-1,-1,855638,90567,-1,-1,308640,-1,-1,603597,110611,-1,918348,29347,235357,-1,158149,270296,-1,-1,581479,613177,-1,-1,-1,-1,808572,-1,214320,931858,-1,-1,-1,-1,168026,383118,298133,-1,860589,642478,-1,-1,242707,-1,-1,-1,387099,-1,151346,619560,781824,39228,-1,442018,-1,993615,360249,198984,-1,-1,-1,466364,753045,-1,600119,728504,-1,168530,654736,-1,452968,-1,49780,-1,73847,-1,-1,-1,683473,-1,454415,-1,991863,-1,-1,255808,-1,865714,-1,-1,566898,-1,-1,564030,-1,-1,-1,172395,-1,799785,844733,-1,788152,-1,220188,-1,590076,989428,-1,-1,119795,293044,-1,-1,-1,895697,369272,-1,786892,949356,862999,-1,874513,-1,448952,-1,471988,108218,-1,-1,-1,634005,-1,456493,216933,-1,-1,-1,-1,165179,592094,801414,-1,-1,-1,257620,-1,866945,-1,-1,253565,212304,174730,-1,817270,-1,-1,-1,-1,709518,569148,710519,505995,-1,-1,-1,596752,357197,631976,-1,641099,-1,-1,915259,-1,416888,-1,-1,-1,695132,605269,387343,-1,-1,694826,-1,493118,-1,959367,-1,-1,-1,-1,192947,728598,-1,98353,671147,86963,292432,896965,995545,-1,917119,999761,-1,-1,107035,124951,-1,934374,-1,-1,-1,568685,-1,985526,-1,793576,704998,903157,571535,87112,82763,177001,-1,621143,385275,-1,987231,-1,486391,614052,-1,-1,130498,-1,300895,859109,-1,-1,343813,847211,-1,-1,-1,530475,-1,890836,-1,668863,-1,410730,21771,-1,111445,914786,-1,296642,459490,765934,-1,-1,757746,474827,-1,757453,-1,-1,-1,-1,514306,-1,-1,-1,197344,713135,61,-1,391881,528770,235151,-1,515496,422543,313539,356246,838276,-1,-1,751716,745807,-1,-1,230376,-1,628945,739482,-1,-1,-1,-1,-1,733071,163050,-1,695493,312037,203209,808588,-1,151499,-1,-1,379360,-1,55817,108011,255012,-1,-1,724728,-1,324327,657177,415231,-1,822993,-1,-1,359876,-1,-1,561478,-1,-1,456540,734459,-1,-1,680961,123880,-1,-1,-1,-1,-1,271696,-1,227613,-1,-1,526029,813026,-1,163282,226239,-1,-1,412591,19002,261482,-1,-1,-1,437740,-1,-1,-1,390442,-1,956721,526485,682123,-1,929543,-1,932854,967816,546791,819353,-1,-1,-1,-1,-1,129881,-1,842998,73148,393140,-1,25259,790339,99442,-1,332519,752628,-1,-1,234215,-1,-1,889640,-1,66818,804262,355945,750010,480304,-1,842132,615801,15463,-1,88851,967619,132431,489734,655428,-1,307331,42253,933439,-1,353626,-1,42789,-1,628882,-1,522245,499542,-1,-1,210426,528788,-1,270781,746621,150605,-1,-1,846470,-1,-1,-1,-1,187132,-1,-1,723088,728605,-1,-1,-1,-1,-1,-1,270764,823755,398919,-1,-1,-1,611404,199087,-1,494001,-1,154622,-1,232596,219801,-1,864577,173408,693862,782590,583469,-1,977338,46508,-1,-1,323610,835215,340501,-1,-1,212466,136237,647073,-1,769774,386946,867249,-1,-1,-1,941120,-1,-1,673720,-1,-1,-1,-1,899400,339188,-1,353021,719393,143525,-1,304895,637995,-1,-1,-1,798691,272779,-1,-1,-1,989804,286501,-1,-1,394185,-1,-1,879476,988257,-1,842865,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,655077,557087,-1,-1,-1,1731,-1,180563,-1,-1,-1,8529,-1,-1,592133,-1,645080,-1,792622,395635,-1,-1,-1,-1,368291,-1,582523,194548,-1,-1,313280,942594,570849,601303,-1,-1,-1,-1,-1,331562,990025,331970,254110,778163,-1,-1,-1,-1,-1,607126,717222,-1,-1,-1,-1,924551,235875,-1,-1,-1,-1,245963,512870,-1,579631,813461,342171,9542,-1,-1,296408,271665,-1,-1,314483,-1,156658,-1,758296,63259,632121,-1,71659,-1,432922,816421,916741,-1,-1,-1,728776,939647,237147,-1,851707,-1,274319,449977,-1,-1,-1,519266,939320,38660,-1,-1,-1,-1,-1,-1,951712,85868,260751,-1,-1,-1,-1,-1,799170,-1,381003,-1,541147,-1,-1,200091,432899,-1,687198,243674,338955,509934,-1,227950,-1,-1,-1,106359,230846,-1,865877,-1,563753,617280,-1,33900,660677,-1,805697,-1,429311,539195,-1,-1,-1,969170,78415,-1,137100,-1,342837,27495,959118,-1,565939,-1,-1,-1,921020,815178,336262,838558,680621,-1,543026,-1,-1,-1,-1,51697,857444,180988,-1,-1,396308,-1,312454,645138,493494,-1,-1,-1,986579,470746,-1,676360,441205,204368,-1,-1,-1,-1,-1,-1,-1,-1,263179,-1,101632,-1,-1,-1,178555,-1,653987,235712,705346,221441,-1,170646,689991,-1,-1,628069,-1,691408,732795,-1,-1,533418,-1,-1,461518,-1,526556,-1,749818,-1,654019,349163,-1,621445,974976,-1,-1,-1,313373,803244,-1,-1,-1,330761,123858,-1,188767,-1,807165,-1,911026,-1,-1,-1,-1,699371,392859,-1,-1,138562,666018,714115,981004,-1,-1,118453,26577,219938,-1,203418,-1,1692,-1,-1,-1,-1,596360,184663,270610,-1,-1,483210,771809,825808,-1,-1,-1,769779,-1,320002,-1,660300,-1,-1,-1,-1,232753,-1,-1,253416,-1,962526,361477,-1,-1,-1,243159,-1,-1,250446,-1,-1,64553,650863,621658,602013,822473,-1,-1,-1,189707,128726,-1,820368,982442,638019,-1,-1,836921,879260,409861,-1,-1,-1,-1,461928,12814,-1,387933,-1,942072,-1,-1,368525,-1,870936,657874,783176,-1,936605,-1,-1,277406,983252,77056,-1,854224,-1,691139,81575,838229,409720,972105,-1,-1,-1,42536,-1,-1,-1,354073,230052,91274,-1,-1,-1,600103,-1,575206,-1,434680,-1,-1,-1,453129,-1,266640,-1,-1,-1,-1,154458,313490,-1,-1,-1,869567,700210,-1,-1,316306,-1,255673,937094,-1,-1,-1,963762,-1,100508,-1,657141,629498,794976,-1,-1,288997,539977,-1,-1,61340,-1,-1,-1,-1,-1,785360,-1,423270,-1,-1,405596,927707,-1,327321,-1,-1,258165,182245,891606,585509,112966,-1,-1,-1,661374,-1,-1,-1,-1,296803,709736,-1,551020,287724,739512,-1,858795,911724,-1,227758,39479,690844,-1,414322,827388,-1,357310,-1,-1,-1,-1,890976,353244,-1,647983,-1,244831,3246,-1,69789,-1,592560,701299,127394,-1,-1,31760,499465,-1,69259,-1,-1,855831,-1,-1,-1,558323,-1,-1,-1,183058,-1,685742,297842,296611,-1,-1,-1,-1,805873,783953,651079,403786,763035,-1,-1,66938,-1,-1,771134,338162,710035,-1,-1,124444,249648,588026,-1,-1,394811,913358,421318,-1,-1,-1,-1,556594,533045,-1,373615,-1,-1,632172,-1,-1,-1,18029,-1,127014,-1,58614,432519,-1,88343,166251,-1,523911,320290,599775,-1,-1,-1,-1,-1,632430,165962,474610,689562,482644,324742,305117,-1,-1,-1,776005,-1,-1,-1,-1,-1,408087,-1,595973,-1,-1,721714,190639,-1,222566,144448,412619,611064,222336,-1,-1,445383,-1,485720,613118,777287,-1,438244,-1,77472,897053,-1,404226,18782,544100,695417,463899,-1,-1,-1,485816,658646,-1,847855,-1,-1,-1,595294,638704,-1,628718,-1,-1,-1,-1,867680,909629,33532,766037,350124,864024,225813,717679,-1,717628,-1,-1,-1,-1,22605,931300,582870,-1,-1,-1,-1,-1,798587,386217,-1,-1,-1,-1,922959,284939,884926,-1,-1,988920,471097,630811,280315,927914,-1,103054,-1,977989,-1,-1,-1,97366,-1,869273,914549,47108,-1,-1,-1,-1,-1,-1,-1,-1,460743,144327,211700,232515,-1,-1,-1,118209,-1,-1,898600,-1,-1,863996,283062,512244,429378,98248,-1,-1,507251,410958,-1,67966,-1,-1,878709,223298,-1,-1,302691,-1,-1,-1,127654,-1,565061,927835,-1,-1,909426,619494,-1,-1,-1,31129,482910,869586,281051,-1,200472,14710,908640,-1,737697,298988,190410,-1,179168,123147,654730,-1,835852,884081,-1,628721,-1,-1,-1,891006,-1,-1,-1,-1,252698,418730,-1,526163,845916,-1,-1,-1,-1,95901,493947,-1,912251,-1,-1,770923,-1,-1,-1,-1,-1,345979,473396,408843,-1,-1,514259,220523,581080,-1,-1,432613,-1,139336,-1,588712,459266,-1,-1,336639,285798,-1,-1,-1,244360,512033,-1,159046,-1,31122,14351,355127,804452,-1,-1,249196,-1,359005,-1,675834,-1,-1,365206,-1,-1,715515,214660,-1,415434,446230,185422,502483,922234,-1,344183,-1,332306,-1,276637,-1,559646,-1,-1,-1,843908,-1,387447,57938,-1,-1,296612,122011,378752,-1,482592,-1,-1,899572,-1,-1,-1,-1,-1,132587,612558,-1,904774,-1,-1,-1,546661,795091,-1,663669,-1,-1,-1,683333,198094,-1,-1,-1,191344,-1,-1,29737,-1,-1,-1,379429,726274,691796,855292,517912,173768,216440,-1,330308,790396,-1,440016,57289,-1,312162,-1,-1,-1,412168,452645,14775,-1,-1,955916,5517,159555,81782,-1,363487,812990,664119,93894,-1,318813,921230,614783,-1,-1,-1,-1,317269,607856,-1,979745,479607,-1,-1,-1,-1,15611,672374,-1,139569,-1,239133,89287,-1,-1,593661,-1,763217,-1,-1,249916,882678,-1,-1,-1,849933,572017,-1,-1,468721,-1,454045,95650,501416,471549,-1,136675,-1,648313,356892,363357,-1,535448,45753,550890,-1,-1,417586,-1,-1,-1,-1,181309,511812,345097,433280,331508,-1,756583,-1,740384,767387,725484,-1,5836,-1,-1,890492,-1,-1,730283,-1,-1,532346,345124,-1,367228,93021,713225,874741,104968,-1,-1,-1,-1,369031,-1,72606,564204,375599,-1,-1,-1,862717,-1,-1,682005,14021,-1,904569,444539,-1,590172,-1,-1,790667,521387,-1,-1,617776,-1,-1,-1,-1,243552,613188,112794,-1,442814,164218,119415,327531,546969,953156,-1,731538,-1,-1,-1,868411,-1,-1,-1,-1,116418,982730,-1,162412,-1,622302,494331,283149,-1,-1,961035,594170,67095,790237,-1,807901,251518,-1,-1,233601,-1,-1,-1,-1,684827,-1,-1,219899,-1,-1,88958,221216,470670,950608,-1,828607,34369,-1,-1,419437,-1,319445,-1,-1,-1,-1,-1,-1,-1,-1,-1,39202,-1,85907,-1,-1,-1,292714,-1,923911,-1,-1,-1,112095,36993,-1,150691,784476,-1,280766,169450,370530,-1,-1,-1,23265,192684,-1,558918,-1,801501,-1,36220,-1,821361,-1,110787,661849,-1,-1,-1,-1,-1,625318,-1,-1,-1,-1,756886,-1,852669,777455,414399,51273,-1,746657,-1,-1,-1,-1,768355,-1,837085,983613,-1,-1,263249,243248,-1,764607,-1,-1,361673,-1,945328,200904,30431,-1,626754,308283,-1,-1,449575,-1,-1,-1,59381,-1,-1,-1,650804,-1,-1,-1,-1,-1,-1,823446,424626,-1,323781,841434,-1,25683,-1,882456,749843,2074,60774,-1,481876,940735,-1,15568,-1,-1,-1,-1,540609,62647,630318,777029,-1,-1,-1,-1,-1,-1,-1,-1,918975,-1,-1,-1,-1,760997,458106,-1,-1,-1,634612,644377,80668,-1,14951,-1,999411,-1,-1,-1,-1,-1,-1,274345,-1,-1,749127,82098,196007,69742,515011,-1,-1,231666,-1,-1,-1,194791,-1,-1,138227,364688,399651,-1,73606,435787,549891,-1,526884,227139,-1,-1,-1,928204,-1,303857,91284,444029,752646,-1,-1,-1,-1,-1,499365,-1,318624,148592,-1,33847,71502,-1,914476,-1,787753,-1,-1,207375,522048,-1,259885,68312,-1,-1,-1,176381,-1,693994,725541,673794,-1,936004,912144,899673,330922,742080,584255,-1,-1,253683,214568,-1,-1,789200,-1,850048,738509,-1,166314,-1,657755,641856,100619,126399,-1,466160,200272,-1,-1,175506,-1,450796,557153,-1,460550,-1,736036,842061,-1,865068,-1,74082,744492,-1,955694,839262,459989,684329,263783,566493,769508,-1,125374,946437,294903,685607,514220,-1,590450,924055,-1,417439,-1,107579,768708,55191,862292,140076,10264,-1,592615,-1,-1,413227,-1,-1,657205,-1,263493,687349,-1,158020,-1,-1,-1,301721,-1,-1,697745,891839,342522,-1,37549,-1,707826,234071,-1,102497,-1,-1,-1,249532,689005,379354,-1,380023,491855,-1,531019,-1,519342,937145,-1,-1,637079,-1,-1,-1,-1,505943,420337,445567,-1,729769,-1,-1,-1,137001,-1,314450,-1,96424,984373,-1,737108,-1,703644,253736,868062,409384,956054,849001,-1,649976,-1,-1,166451,-1,171131,220994,-1,-1,422219,247423,892776,214470,970942,-1,-1,-1,-1,64968,-1,-1,-1,-1,689650,545504,588315,276540,-1,-1,-1,-1,37648,-1,696733,767447,180695,718362,830385,-1,-1,-1,-1,-1,-1,198096,107000,-1,-1,409673,569343,230582,524509,113533,-1,140793,423779,-1,422560,-1,59806,-1,-1,-1,741175,604198,-1,824663,-1,475259,-1,376796,431396,61530,-1,-1,-1,-1,-1,306695,-1,-1,-1,677776,900044,885249,-1,-1,-1,841086,530947,-1,-1,-1,523094,514527,-1,-1,702039,761341,316810,-1,-1,-1,378241,901235,-1,17353,-1,-1,-1,546696,225807,55574,-1,-1,868188,-1,534283,687982,788343,-1,415445,176761,-1,-1,-1,-1,666701,-1,-1,467949,854369,160912,-1,205517,950029,-1,144947,987796,-1,-1,461712,825657,306552,-1,88907,289809,-1,966244,93775,407720,212321,498578,753109,-1,510122,357621,-1,-1,-1,649616,646339,-1,472202,-1,379431,785007,331708,-1,257791,910848,-1,-1,740301,-1,569000,-1,210353,723435,-1,272519,-1,-1,-1,258086,-1,-1,-1,-1,260952,318936,760701,744001,397799,-1,-1,-1,606118,9597,146661,-1,850965,-1,355358,-1,723656,975859,390957,-1,258222,277693,-1,506950,795237,417299,251618,-1,370604,-1,629736,62024,79322,10732,-1,743759,949821,410437,434838,-1,-1,-1,-1,-1,743577,-1,44780,92000,344949,45890,-1,-1,348951,-1,308857,-1,-1,834732,951808,580268,-1,396199,714228,-1,-1,-1,339816,539515,-1,-1,474726,-1,-1,498417,-1,533469,-1,396281,394688,-1,-1,-1,86072,906213,-1,-1,-1,-1,-1,-1,-1,966351,763466,265435,-1,-1,-1,-1,352447,-1,487640,-1,-1,64569,491568,-1,30324,564296,-1,-1,-1,-1,234269,-1,373446,-1,-1,-1,546704,-1,826073,-1,-1,-1,-1,-1,-1,-1,-1,56089,60588,541565,-1,792844,-1,561067,551636,855582,-1,938463,-1,-1,-1,-1,-1,677563,-1,-1,-1,-1,728122,277730,-1,738968,561591,-1,29097,929583,459502,833424,-1,-1,929793,-1,-1,868337,-1,-1,-1,568204,-1,-1,125260,700365,-1,-1,-1,95287,-1,-1,-1,-1,-1,-1,-1,-1,-1,848692,66148,780011,911874,341715,466046,324869,-1,244615,-1,-1,4778,-1,958900,-1,-1,696007,342075,74742,-1,600004,958654,814985,-1,-1,786379,-1,773135,697963,523429,-1,966926,354013,175626,692978,147614,-1,935922,924528,-1,785249,-1,527329,-1,-1,-1,-1,616645,-1,843599,-1,707205,-1,-1,989057,783382,148093,-1,-1,955037,316139,307786,12189,-1,-1,523116,714852,-1,824850,610478,-1,307628,-1,-1,949415,-1,-1,277778,-1,-1,618634,-1,152543,269029,514253,531134,-1,-1,-1,516829,728913,757993,352682,172633,-1,719162,-1,383464,540582,-1,934104,-1,-1,-1,-1,-1,14049,224499,-1,966555,-1,85245,-1,947736,415621,-1,4809,502865,830222,178719,867608,660683,-1,534646,680768,968553,317166,-1,-1,-1,884130,769999,-1,328834,74340,-1,-1,-1,165949,-1,-1,379929,33073,788126,-1,-1,797980,-1,583249,358867,617563,-1,-1,-1,949829,568468,-1,899956,-1,254236,450092,-1,-1,540860,734408,936732,290134,-1,-1,905515,142743,-1,-1,882114,-1,121057,-1,-1,-1,-1,227519,349452,-1,-1,-1,147090,296542,-1,147903,987049,-1,956314,-1,99501,-1,744713,924376,804137,-1,-1,-1,18218,-1,-1,509707,878125,-1,515013,-1,536749,-1,-1,124399,492211,-1,-1,-1,717552,-1,888712,431030,-1,-1,-1,-1,533941,-1,991975,158309,-1,927313,738389,-1,-1,-1,-1,-1,98142,-1,-1,210034,-1,501593,-1,669168,574994,795986,564038,974451,367256,-1,518043,-1,-1,-1,-1,362971,446364,-1,880339,-1,-1,363891,-1,-1,660923,692892,-1,34544,-1,-1,278709,912390,647207,-1,-1,-1,488003,604586,877334,-1,-1,-1,-1,568675,-1,-1,621594,-1,596396,944254,-1,629344,538190,425101,-1,-1,187059,197633,-1,956035,-1,-1,-1,-1,-1,313496,-1,437432,434347,-1,-1,-1,-1,828492,501094,-1,-1,425478,607508,771765,26232,454555,-1,98374,-1,971684,875288,381786,896099,-1,-1,691597,-1,-1,790774,-1,-1,137810,438936,508694,-1,-1,359971,-1,-1,-1,75932,619805,-1,-1,-1,-1,24885,-1,559034,-1,637144,173753,-1,-1,-1,-1,-1,540403,980158,-1,260196,777634,-1,446503,468947,-1,-1,-1,-1,-1,654966,-1,974953,-1,55320,-1,971685,737839,375605,-1,625560,-1,715051,816660,724963,316990,-1,290442,-1,-1,391864,66569,31456,-1,723057,-1,-1,641255,575966,812935,460368,-1,531322,-1,168999,-1,-1,947308,-1,-1,-1,-1,-1,-1,47926,155462,504259,377579,611443,908217,-1,-1,862429,-1,345026,426651,853605,-1,-1,-1,-1,-1,971979,514382,453377,489555,-1,357246,-1,-1,-1,-1,137602,501731,-1,-1,747800,562686,380056,323483,58189,852542,-1,659618,-1,929861,736322,-1,2598,-1,-1,304712,-1,972778,247466,390340,-1,-1,-1,-1,57204,-1,504069,-1,135441,-1,750154,709283,-1,-1,-1,-1,-1,437275,680581,-1,-1,813393,630685,-1,90021,-1,71613,748159,-1,-1,-1,344086,-1,-1,-1,-1,-1,-1,-1,31508,264139,70894,-1,505207,-1,427824,-1,112123,597060,-1,596913,552940,-1,-1,368441,-1,460286,-1,20701,-1,-1,-1,113947,-1,864224,960861,184863,-1,-1,-1,-1,-1,-1,-1,616731,965152,445611,-1,-1,-1,-1,-1,558571,679584,-1,-1,251493,461101,441447,156130,616260,-1,813365,299979,672809,-1,-1,571633,606576,-1,769289,621575,694687,-1,-1,-1,636328,637413,-1,-1,541380,-1,-1,245937,263102,810226,161371,-1,-1,410795,162106,229819,-1,440154,637423,519648,339416,700846,-1,-1,-1,36278,-1,-1,119527,81743,489922,524816,-1,87004,833349,594072,-1,996926,720831,361006,-1,-1,-1,-1,-1,85760,-1,4646,-1,947562,933508,-1,-1,-1,-1,786329,-1,473559,-1,-1,-1,719171,-1,-1,253197,-1,-1,-1,-1,-1,-1,-1,13364,854498,893910,-1,192529,-1,835361,-1,-1,-1,-1,-1,-1,863963,615237,-1,773526,-1,962102,673235,-1,-1,148683,909905,-1,-1,674347,-1,-1,38408,-1,625754,86870,-1,947253,-1,-1,-1,777945,-1,-1,-1,-1,507660,698515,-1,-1,-1,54002,-1,-1,968786,-1,683644,-1,257047,364019,-1,-1,2568,389459,-1,903794,-1,341914,-1,848224,957373,-1,-1,680732,435512,305734,386874,539576,165669,-1,-1,-1,-1,-1,179399,-1,-1,-1,-1,634252,-1,615989,-1,862713,-1,540028,-1,-1,906458,194326,-1,-1,867931,378875,-1,-1,886878,508156,434885,518991,-1,816467,693483,960504,236285,819705,-1,-1,-1,476424,420247,-1,-1,-1,96546,641058,844840,-1,-1,-1,115039,535768,972414,-1,-1,-1,-1,764565,505000,57870,-1,248333,-1,458063,-1,-1,937449,-1,-1,235481,702371,705148,-1,491379,-1,-1,114810,471861,-1,-1,795405,399993,413288,557763,-1,818306,-1,11284,-1,-1,-1,113011,382088,270933,-1,563217,334623,590105,-1,377825,125685,288219,-1,684349,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,830452,-1,-1,-1,417692,-1,-1,-1,-1,107187,630940,830901,-1,973043,-1,83990,-1,-1,-1,-1,126476,-1,-1,447309,82713,-1,275451,-1,529811,253212,166834,50283,73100,682905,589369,838522,-1,-1,751034,530566,-1,-1,936980,-1,-1,297525,512996,281359,941785,697466,-1,-1,-1,359676,-1,544838,-1,-1,397924,685037,471602,455594,153754,-1,-1,-1,573357,861044,-1,-1,-1,789633,536871,670408,815,-1,-1,256855,834078,-1,912983,-1,-1,-1,519703,-1,-1,-1,711227,978088,-1,-1,-1,44444,379839,777910,141405,354300,714732,-1,186527,-1,-1,-1,449103,393065,-1,-1,410582,-1,-1,-1,-1,512460,-1,790875,85223,-1,-1,604560,-1,322923,648677,-1,687693,935436,582457,-1,899274,-1,988256,114291,757007,101056,-1,-1,371637,530317,-1,-1,692042,-1,-1,-1,-1,400750,-1,-1,-1,577017,698290,879283,-1,-1,-1,-1,-1,488244,-1,-1,-1,-1,-1,831756,-1,342605,-1,608873,744450,264182,-1,-1,996887,285759,561449,-1,913013,12823,-1,301308,325365,898826,-1,-1,396177,-1,-1,-1,-1,247558,-1,153779,-1,-1,260429,746689,349311,133626,-1,-1,595396,-1,567740,-1,820003,-1,-1,-1,-1,-1,108922,-1,627273,-1,-1,-1,-1,-1,-1,487625,-1,212454,-1,-1,-1,401909,974741,827585,-1,-1,424986,506341,390086,347884,-1,-1,934716,437994,375633,735567,-1,-1,972649,777598,789874,-1,-1,270619,-1,-1,-1,-1,-1,-1,927132,360446,377063,345627,234219,-1,392386,131565,-1,265663,-1,368411,493586,-1,-1,-1,912666,-1,-1,163756,-1,569174,948879,-1,472296,-1,-1,113662,-1,-1,437373,611527,-1,777053,-1,780413,946118,-1,-1,999034,64526,-1,718689,-1,-1,-1,-1,697141,703688,-1,402499,-1,677778,-1,556309,-1,-1,415449,693899,-1,-1,882198,-1,305195,670789,558260,-1,-1,-1,257006,-1,-1,-1,508461,89525,508983,816875,-1,308535,523331,454181,385792,-1,-1,-1,764351,-1,-1,-1,848236,-1,242139,-1,-1,801664,448682,-1,599624,-1,77993,-1,385392,506094,833889,809511,627916,378104,-1,169010,-1,819304,-1,-1,-1,-1,-1,-1,-1,484126,347660,-1,-1,-1,-1,830655,225761,102917,706594,484256,785990,-1,669481,680091,287468,-1,214307,657978,587504,-1,250605,9535,400387,57321,429746,-1,643015,740617,-1,160771,-1,-1,-1,-1,601743,-1,-1,-1,356739,562410,457000,713196,829103,-1,681720,-1,125150,682080,94246,780732,862738,-1,-1,-1,-1,-1,908344,726544,-1,651518,179943,-1,-1,166618,-1,-1,-1,327466,990317,-1,-1,739953,-1,-1,761912,596675,495314,352048,850665,-1,424893,-1,-1,-1,64655,265026,529426,166249,168426,-1,170879,598892,267315,440720,-1,-1,803242,99375,-1,-1,-1,448515,-1,679874,-1,908784,545425,179635,-1,-1,12331,696463,893488,33437,874539,-1,269612,279358,-1,762581,850739,828634,332430,-1,-1,-1,728007,260650,-1,-1,18554,560386,-1,866443,-1,2280,-1,-1,-1,107612,961393,-1,30626,485126,-1,445979,-1,-1,798400,675644,-1,-1,475537,-1,405166,-1,684691,929170,587229,-1,680695,-1,680562,-1,-1,710221,175502,-1,-1,-1,-1,667832,846760,991407,678845,878858,939684,-1,-1,-1,-1,154240,236885,47336,778392,990935,-1,347445,-1,118600,54527,503995,855787,-1,-1,155541,572623,-1,-1,868501,942335,-1,183199,-1,-1,779906,313644,-1,-1,390495,-1,80862,508937,580828,525693,-1,487812,-1,835177,524606,871846,566395,782100,-1,747787,453728,674486,-1,426178,-1,-1,750507,-1,-1,683771,485440,990688,-1,-1,841623,889457,568953,-1,164943,588591,192459,758497,682575,-1,725561,-1,378044,-1,116172,678805,-1,-1,-1,905514,411537,-1,389560,-1,-1,-1,411827,-1,-1,-1,-1,-1,762864,512375,-1,764639,191822,215185,332205,-1,763486,-1,580303,-1,817482,-1,-1,813978,121572,-1,160115,730645,915767,693856,-1,551857,194802,-1,-1,-1,-1,-1,724834,-1,169237,575906,-1,464232,12148,-1,-1,90894,400135,284348,-1,-1,-1,-1,-1,-1,578362,-1,235128,649862,858029,698687,843016,-1,-1,-1,888554,-1,492180,404031,276800,727804,-1,-1,307784,159487,72231,-1,943266,611286,-1,889293,-1,-1,251336,967754,971453,93344,246424,402192,-1,-1,89763,-1,-1,-1,-1,-1,164444,-1,117609,-1,506275,-1,-1,-1,-1,686779,711809,-1,-1,-1,254189,-1,-1,-1,-1,315378,987594,-1,-1,509085,537412,591635,981800,716254,789253,304739,357204,114719,828709,-1,148169,769238,-1,687953,49060,-1,-1,-1,880522,-1,-1,-1,-1,-1,-1,837411,759588,549738,-1,606115,-1,-1,48857,179427,-1,392372,-1,50433,313782,167720,-1,-1,596138,457294,-1,737289,-1,-1,322660,-1,-1,-1,-1,416137,979740,-1,-1,-1,-1,877754,-1,690476,-1,703783,-1,343017,-1,237017,471621,80068,156389,-1,332955,646652,553011,-1,695694,756284,-1,461639,-1,-1,-1,-1,216780,-1,-1,-1,-1,-1,-1,-1,448437,-1,997815,-1,-1,663355,-1,-1,982720,481165,-1,333475,694323,-1,102143,409236,983147,-1,-1,500417,870996,979599,864131,246900,-1,298625,-1,879861,43378,-1,-1,-1,257571,-1,672328,-1,617520,-1,636898,-1,-1,-1,-1,-1,-1,963093,98369,902683,-1,-1,684284,997676,-1,856618,-1,850282,-1,945215,363142,-1,503427,66270,-1,366535,714655,406777,-1,-1,985738,-1,-1,45290,-1,-1,776242,743473,-1,-1,-1,-1,775465,-1,-1,819335,-1,874435,565846,743638,886185,201125,663594,-1,321243,-1,-1,647279,243748,988982,201748,261921,-1,-1,842102,274503,-1,-1,968048,934026,-1,552119,556374,-1,414033,97890,-1,-1,297837,741693,-1,887286,518348,-1,697687,394032,-1,-1,190090,-1,-1,382180,231026,626968,639545,784430,293934,410490,-1,893851,468123,606568,-1,-1,-1,-1,648244,-1,-1,-1,-1,454069,-1,350687,-1,-1,-1,-1,-1,658043,910050,-1,-1,-1,855359,609131,502164,644750,-1,237101,390877,-1,-1,205698,114319,906861,369410,-1,158424,867250,-1,577256,-1,976359,-1,608089,-1,-1,-1,-1,343935,671994,137752,204180,-1,101306,-1,515315,993087,-1,617451,-1,28135,-1,-1,-1,-1,-1,61820,614368,-1,-1,427909,677841,-1,-1,194881,281293,554082,299044,256302,-1,-1,961347,-1,-1,134773,-1,-1,602355,25854,520533,744469,147486,-1,-1,379760,838117,314639,94973,390307,673294,-1,108810,-1,653890,895053,516855,262900,-1,267543,64530,-1,-1,837370,-1,-1,-1,-1,741156,-1,-1,796874,-1,423844,34597,501171,-1,281381,-1,559201,810519,473985,686062,-1,963979,701864,-1,-1,-1,-1,-1,6347,131734,-1,252508,-1,350879,44234,-1,381649,-1,-1,-1,537788,-1,-1,623651,-1,-1,-1,289493,386701,-1,624107,-1,968931,450858,-1,-1,-1,898100,-1,-1,-1,-1,684541,-1,-1,572149,690491,-1,106508,-1,-1,-1,-1,-1,452542,867311,78944,116216,-1,-1,-1,-1,-1,-1,-1,374631,-1,-1,21897,-1,-1,354554,-1,847090,914840,-1,533342,-1,-1,-1,-1,99926,599552,813259,793319,79535,83306,-1,-1,369140,948609,-1,-1,-1,-1,999666,-1,740302,9223,-1,-1,-1,-1,-1,857280,-1,482854,478757,450099,-1,381474,-1,970410,-1,405250,-1,-1,572971,-1,68613,-1,-1,-1,-1,638141,672237,-1,577456,-1,855253,-1,-1,779285,-1,-1,807495,586081,1449,-1,-1,-1,674142,727646,10376,676348,81816,-1,-1,401749,-1,367616,470609,589905,-1,-1,759049,-1,-1,-1,5786,-1,174108,-1,-1,767381,-1,-1,-1,-1,760792,-1,-1,-1,304660,-1,345001,-1,-1,297117,337070,-1,801314,-1,-1,998348,873273,-1,-1,450824,-1,-1,502661,-1,-1,546986,-1,304679,72169,-1,115542,303091,439035,-1,-1,-1,945796,45591,793940,-1,691838,-1,-1,379605,372119,911571,-1,232368,-1,-1,-1,783075,495865,-1,-1,388828,-1,-1,-1,222561,-1,-1,99195,-1,-1,-1,-1,50875,86267,-1,-1,562036,-1,-1,-1,-1,708454,-1,-1,-1,-1,-1,-1,-1,-1,359570,-1,565567,-1,117042,-1,-1,-1,-1,515351,-1,774156,461630,241552,-1,557680,716757,-1,99206,344027,368800,46946,4157,750693,-1,-1,770146,562135,61564,415179,-1,-1,-1,705719,-1,570738,-1,555835,-1,891,-1,928696,-1,-1,405445,403163,172001,-1,-1,52737,-1,-1,-1,-1,873969,-1,-1,-1,-1,-1,-1,827551,86114,94544,472548,-1,78863,732772,-1,889652,492242,-1,688705,636178,437807,282983,-1,-1,682255,620997,814850,-1,867626,37272,117070,-1,655693,-1,-1,-1,-1,759685,429263,234250,730245,824569,202940,-1,-1,-1,381913,-1,-1,-1,626566,-1,-1,70738,136384,-1,-1,-1,-1,-1,335110,990754,446241,341817,-1,742400,795232,-1,287823,433405,747977,709419,-1,481083,-1,-1,613093,-1,-1,-1,-1,-1,509724,-1,504169,-1,962886,-1,181466,180953,-1,-1,-1,517258,701397,93160,524182,322602,668325,-1,-1,231706,89428,310178,818669,790110,-1,637516,-1,-1,296362,835119,-1,-1,874371,177475,-1,-1,-1,115957,84711,-1,-1,846946,-1,266259,-1,-1,-1,-1,-1,53636,-1,547524,53668,-1,-1,692884,854225,-1,-1,951760,-1,817533,-1,670892,-1,261389,724025,869834,295797,621116,249018,-1,697347,328613,-1,327653,524399,-1,496746,815389,507422,-1,485746,574098,210245,647490,783227,-1,803478,753001,620765,-1,414796,223606,360939,884144,229106,329356,129552,867874,-1,551037,928015,162505,701910,216135,-1,-1,-1,550991,858954,665639,-1,-1,522076,844944,-1,-1,820831,231072,-1,985605,521676,635252,-1,-1,-1,-1,943840,-1,477669,942444,-1,858987,337412,-1,676002,-1,44005,378234,499108,-1,86520,-1,-1,689827,-1,-1,-1,-1,-1,562095,-1,448642,274523,-1,306578,264484,21872,-1,-1,-1,770692,-1,-1,767162,129957,-1,731946,-1,970782,634807,-1,-1,774764,771222,917259,651654,721175,266000,-1,164343,-1,-1,-1,-1,958117,-1,-1,300833,162857,346836,230371,442630,-1,16801,-1,115149,-1,-1,65112,-1,-1,143832,-1,543704,629830,-1,-1,-1,-1,68262,101170,-1,222816,-1,-1,-1,304226,68835,533218,-1,-1,645292,649139,829880,-1,627453,-1,226383,994106,478856,708638,683068,-1,-1,-1,-1,-1,559756,-1,-1,-1,301340,-1,412057,-1,919681,347453,-1,-1,423311,-1,-1,895162,321868,240057,80133,-1,758152,242360,607759,212385,314172,-1,-1,-1,520804,-1,485511,502183,345995,-1,571597,-1,-1,-1,316493,-1,177602,-1,-1,-1,-1,-1,783698,521719,979294,646227,4165,732599,687309,645754,635508,387397,-1,-1,404825,-1,101624,-1,977171,527029,-1,839692,684197,627152,392981,-1,288863,-1,-1,-1,313083,795490,119004,175510,57249,716376,179162,392826,362334,-1,744304,-1,-1,893185,546368,-1,-1,411127,-1,-1,955800,331957,-1,765908,-1,762999,970207,-1,351346,666864,99458,331608,887547,327094,71298,-1,-1,-1,96771,409755,806821,-1,472746,-1,817170,561357,671142,-1,415378,-1,520365,496132,-1,567199,-1,-1,-1,327619,-1,-1,197870,483894,367876,644161,797098,881197,407361,823754,-1,-1,955985,992108,566396,-1,817742,699813,-1,82230,560483,-1,-1,733738,-1,218073,764963,-1,246068,-1,338453,-1,786168,-1,189263,760121,-1,744149,956743,862385,657906,-1,-1,-1,-1,-1,-1,-1,19092,-1,-1,-1,317817,-1,771082,255747,784060,419970,-1,-1,-1,-1,776946,-1,-1,668079,-1,-1,797971,-1,62776,-1,873518,852435,-1,318962,682623,675665,-1,273914,202275,-1,874789,609740,-1,-1,-1,126239,-1,124804,342337,-1,556911,-1,459313,-1,608241,-1,486744,223681,379821,337494,-1,857465,87481,-1,-1,761157,161200,583188,966639,-1,-1,770138,-1,-1,982165,-1,-1,-1,-1,700385,724054,-1,21185,-1,945552,818935,-1,-1,645156,-1,693743,390368,754225,-1,-1,649327,-1,508517,712916,950594,-1,-1,340701,-1,43324,-1,6133,-1,-1,955793,6454,-1,124081,175193,-1,605029,-1,-1,-1,501977,378276,-1,437827,471679,-1,-1,299966,-1,207321,654688,-1,65240,-1,845703,552253,313187,-1,-1,-1,790502,-1,-1,-1,-1,163882,386253,104288,-1,481645,939412,-1,-1,375805,638372,-1,-1,506694,112841,-1,-1,-1,504260,766394,-1,705055,-1,-1,-1,-1,559986,864499,-1,-1,-1,-1,431564,-1,51782,-1,109619,-1,-1,-1,930649,535514,380452,-1,994798,-1,412263,-1,432441,564976,-1,-1,-1,-1,480525,429307,802513,513763,886493,616698,-1,-1,372095,54283,611313,-1,293389,180938,-1,-1,769158,-1,-1,-1,-1,-1,33129,-1,684156,65190,-1,-1,672446,-1,-1,-1,565011,-1,-1,178445,801695,838759,614923,910897,845091,-1,400106,-1,-1,-1,323248,184887,-1,323501,-1,167020,-1,-1,8357,99823,-1,581750,-1,-1,-1,-1,-1,964393,-1,416875,446496,-1,-1,232502,32245,568156,-1,-1,76414,-1,878899,70489,215127,-1,308029,-1,54367,834219,-1,-1,876074,-1,797757,-1,-1,-1,59041,845751,-1,-1,499299,-1,-1,762896,-1,-1,-1,-1,-1,415399,495146,81541,-1,-1,-1,140973,-1,622375,530520,516038,-1,-1,-1,328009,277708,-1,-1,401879,795651,-1,-1,597735,412710,469497,-1,-1,-1,240866,624121,-1,994646,10131,734317,-1,-1,107580,161376,391499,-1,936432,249339,494566,583570,288602,-1,800383,-1,256600,-1,625544,-1,842727,556055,-1,428565,-1,-1,-1,-1,-1,763997,285539,65612,353893,-1,-1,-1,-1,627172,854388,320623,592807,-1,-1,-1,-1,31589,868946,-1,-1,161071,503227,239562,677277,-1,226770,621071,955862,-1,722057,895351,-1,240519,-1,-1,699663,533456,-1,116556,587029,57393,814353,53520,15943,-1,-1,-1,-1,448183,63657,666407,-1,337063,-1,369429,420213,-1,-1,-1,-1,569170,-1,921643,-1,-1,-1,146294,353212,438490,-1,651589,371033,252065,497307,494365,13012,897768,951010,929604,508995,-1,-1,953566,-1,834031,685363,-1,-1,-1,531104,-1,-1,256574,895144,210474,56405,633636,-1,877616,-1,-1,-1,-1,-1,-1,462680,-1,-1,177695,-1,882946,-1,710089,568486,-1,632809,804465,539324,82340,-1,-1,-1,325202,294245,212684,-1,611524,176190,43060,-1,-1,868459,153743,-1,-1,814521,852538,401702,219360,957671,369298,459670,-1,18897,-1,164507,271546,-1,-1,425922,-1,566188,699827,-1,-1,246245,925466,-1,-1,752788,564874,-1,40562,446666,-1,983822,375462,803496,-1,-1,-1,-1,397103,-1,699132,-1,198423,-1,869646,-1,-1,556683,-1,-1,-1,-1,-1,-1,-1,-1,-1,811039,-1,183578,-1,28261,909427,752066,-1,-1,390813,888651,165836,-1,630826,-1,727563,186774,513190,-1,-1,209649,747612,90662,-1,29784,-1,298063,-1,242223,-1,198113,-1,602093,454979,530450,-1,-1,-1,-1,-1,-1,-1,566746,705253,974378,983425,-1,-1,742652,975803,436265,-1,-1,281733,885879,-1,385006,154416,224239,809441,-1,188495,-1,90442,519521,882688,678200,123832,739528,534038,-1,95923,749422,-1,-1,-1,-1,428535,981619,352819,-1,-1,-1,-1,431880,76378,-1,-1,-1,233542,-1,651267,47599,584067,-1,-1,87841,-1,89488,274527,-1,534093,874330,-1,-1,29361,219752,716661,362106,459198,771182,-1,-1,13494,-1,6273,-1,847160,318128,497862,-1,845448,-1,-1,-1,807702,866469,-1,337066,-1,283825,-1,974251,-1,76324,-1,429922,317453,-1,-1,-1,168871,-1,78439,-1,718016,123845,-1,-1,316657,-1,887000,638212,195199,927702,-1,851878,-1,207825,207089,708354,269651,30423,-1,103260,711749,141657,122107,-1,582518,-1,698107,-1,-1,70171,-1,180370,602300,-1,-1,-1,48589,705118,-1,-1,-1,-1,173995,-1,-1,373769,-1,-1,589066,7900,479103,527300,-1,60592,-1,-1,740573,863795,959132,422059,788455,396765,113514,742528,795795,-1,957510,-1,361545,364254,623031,701332,665625,227721,-1,-1,126944,-1,692477,382570,-1,473414,192659,-1,1875,-1,-1,-1,444392,-1,-1,-1,-1,-1,825712,217656,-1,-1,817167,938216,840117,-1,712114,363379,407215,-1,-1,-1,-1,351029,-1,-1,910349,697106,975119,-1,-1,-1,450622,453702,-1,-1,530718,-1,-1,709937,-1,-1,279160,966962,376385,670369,982825,78682,-1,677766,631024,855110,-1,-1,-1,-1,320105,815842,361413,776470,705552,624486,-1,-1,-1,301396,-1,-1,338652,-1,-1,521484,796827,-1,421678,-1,-1,-1,-1,124352,981586,749816,-1,-1,-1,127981,730724,-1,820860,114387,-1,579111,829938,217683,905725,-1,788069,-1,689640,-1,-1,-1,295642,-1,-1,-1,-1,345231,101393,479164,-1,207088,147939,574006,-1,-1,787848,-1,246045,-1,383804,318726,-1,872656,933996,-1,-1,-1,-1,25686,-1,-1,-1,-1,728389,953700,-1,-1,-1,-1,-1,-1,-1,939597,-1,-1,398401,-1,418168,282470,520278,-1,100588,-1,-1,925404,-1,499201,570996,-1,431694,-1,81488,-1,-1,-1,66848,-1,-1,-1,-1,552941,-1,488348,667030,-1,-1,26855,295350,761628,100735,-1,-1,777286,-1,223449,536184,-1,-1,938508,356884,-1,-1,799345,-1,-1,-1,233497,520991,-1,314665,360305,-1,358961,130127,895188,286497,852374,-1,-1,213181,-1,458617,-1,141773,-1,-1,740859,-1,-1,319935,-1,287644,-1,41099,685301,-1,484537,959911,-1,530741,957988,-1,-1,-1,155613,-1,452729,-1,146474,995850,116142,382780,-1,-1,470468,878357,591666,-1,937716,-1,-1,-1,607049,527388,-1,620380,408818,861524,-1,169329,-1,-1,216366,795098,-1,-1,736640,127019,-1,723376,-1,-1,-1,754396,-1,-1,708882,-1,-1,-1,-1,-1,281872,-1,438671,976919,621519,-1,281448,661687,-1,-1,-1,-1,-1,872578,-1,660085,-1,237736,455329,25142,-1,-1,593992,757091,-1,-1,-1,-1,-1,928002,831495,-1,950554,905093,563518,518879,-1,413498,-1,-1,207499,432946,-1,-1,-1,526936,-1,42530,852073,88497,-1,54161,-1,422742,-1,-1,855955,-1,509605,282150,556181,-1,940969,191860,-1,192482,273614,581718,850914,596416,-1,417326,534373,-1,792792,-1,197208,813522,-1,661180,-1,-1,-1,-1,-1,-1,-1,-1,-1,608967,169090,389935,-1,977562,176019,-1,-1,883031,-1,165610,-1,929708,785949,403027,-1,-1,272535,-1,407348,969000,-1,-1,-1,344476,-1,779626,134146,-1,-1,219082,802620,-1,-1,-1,-1,-1,493111,-1,633406,264660,-1,-1,730517,-1,480364,957640,69053,-1,375828,-1,5969,-1,-1,-1,345865,728380,680817,153461,-1,30211,-1,-1,-1,941688,788870,911540,-1,560817,715419,-1,758709,278449,216625,-1,-1,-1,-1,618914,-1,-1,858738,-1,670493,86490,560486,-1,357646,-1,426991,933183,-1,273981,883015,-1,-1,-1,-1,-1,84073,80206,-1,-1,-1,300220,857046,265627,174495,130011,82232,803062,-1,-1,-1,-1,221018,686928,-1,-1,99016,58793,939858,623041,-1,-1,827518,-1,-1,-1,101933,157609,-1,-1,-1,-1,465902,-1,-1,498517,-1,258304,-1,575812,-1,-1,-1,448006,379866,-1,251191,-1,-1,117332,-1,988689,144353,-1,-1,362631,827356,296756,-1,443177,682802,134020,546451,571274,707356,994309,-1,-1,-1,-1,144533,-1,-1,659893,514345,-1,685515,-1,499680,443028,114769,-1,690696,547271,169042,825637,-1,-1,448117,-1,521247,-1,589429,-1,290291,-1,480162,932050,-1,-1,-1,343685,192004,-1,-1,990429,836933,-1,318948,955969,442878,-1,-1,-1,-1,-1,331885,579231,260556,373058,-1,176507,-1,544681,-1,-1,-1,45657,865630,381899,-1,779163,-1,232873,158749,941461,423295,661616,-1,124671,500925,-1,-1,475890,897051,-1,518518,476502,-1,336544,285229,265256,-1,-1,-1,-1,-1,-1,4166,333480,9850,-1,-1,-1,87747,-1,-1,657373,-1,673089,-1,994777,112353,369778,878293,231907,715012,599953,696192,926603,-1,474286,578562,588593,8801,384050,638671,-1,-1,-1,-1,287769,-1,410488,-1,-1,77113,634417,11455,-1,508797,-1,-1,-1,334801,16439,792183,852424,-1,577579,-1,346613,562305,133284,-1,-1,-1,-1,401027,339007,-1,-1,-1,107241,297269,-1,524986,136908,-1,693242,356916,-1,439267,198760,235331,-1,-1,591483,-1,-1,666088,708317,142329,673486,-1,384497,-1,-1,114870,-1,678308,-1,215459,-1,631684,382578,854497,138229,-1,758485,-1,-1,-1,-1,-1,761318,-1,-1,573570,170203,-1,38005,-1,-1,776181,-1,-1,123213,-1,750129,-1,114129,-1,910567,628500,-1,986888,445415,21522,430500,521481,-1,135659,376876,613251,-1,-1,-1,-1,-1,525982,-1,-1,619237,-1,129198,-1,541509,964155,-1,-1,-1,189433,454921,-1,892561,668047,90032,652802,-1,229459,245461,-1,-1,264287,570137,90142,278791,-1,-1,388116,-1,-1,-1,18070,925863,-1,-1,376560,178265,30490,135778,846825,763356,-1,106491,-1,-1,361804,855771,-1,205269,777981,-1,841867,494232,26874,532599,-1,550521,354471,95102,734995,-1,763839,794843,188250,356329,910531,-1,-1,830293,-1,239193,908236,957572,887136,-1,-1,-1,-1,-1,42415,-1,798977,-1,-1,211024,-1,921686,-1,-1,-1,-1,594510,948362,172439,660091,-1,205917,-1,-1,-1,-1,971071,-1,397443,-1,-1,930197,91836,-1,303697,-1,9074,-1,-1,819336,796251,861043,-1,421004,-1,425566,355463,625521,-1,-1,674528,58847,252919,169462,-1,473104,-1,224154,-1,-1,227493,23469,562221,-1,-1,-1,516575,-1,-1,957754,736387,-1,-1,-1,-1,960728,-1,595386,-1,483102,-1,-1,547427,-1,158719,-1,924978,-1,917383,-1,51564,330459,-1,-1,-1,345852,-1,-1,245371,-1,907380,-1,-1,-1,520835,-1,954,628126,-1,434272,-1,939999,-1,-1,-1,-1,-1,981839,-1,-1,-1,461914,-1,-1,-1,-1,637227,677747,-1,-1,10964,202861,-1,-1,-1,-1,894121,-1,-1,-1,-1,-1,782236,992945,-1,-1,803006,429600,-1,11048,-1,777330,-1,642394,301135,506589,483868,-1,-1,517724,-1,-1,-1,580680,-1,723416,-1,651395,-1,-1,-1,-1,-1,772845,758815,-1,411699,-1,246689,204072,-1,114830,-1,-1,-1,-1,486759,-1,727174,950159,-1,-1,694589,777074,-1,794719,393759,-1,748785,-1,169093,-1,-1,-1,-1,43803,612092,-1,-1,907484,-1,991496,183862,768194,-1,-1,697421,566643,-1,185390,287363,76755,-1,-1,789350,3532,-1,-1,-1,856736,159658,-1,-1,12901,225309,-1,917370,-1,752619,825010,582864,282156,-1,-1,-1,-1,-1,77107,-1,365639,825954,-1,-1,-1,848167,210844,-1,260395,531405,578734,-1,570554,724289,-1,-1,-1,-1,642665,876391,-1,-1,354097,-1,622633,741463,724589,-1,157921,534918,921331,563331,460715,-1,194588,-1,-1,-1,-1,772188,790914,458516,-1,587570,389989,47466,990418,-1,777882,254132,-1,-1,756354,472481,155487,864343,980377,174494,-1,142161,983335,36605,172947,693374,8069,935808,-1,705040,766461,947946,661118,-1,-1,886006,755555,-1,338820,2724,-1,-1,30034,234891,-1,-1,967026,982944,759865,-1,-1,822421,451659,865960,-1,500027,-1,-1,-1,234436,-1,-1,-1,-1,945775,299203,-1,-1,581804,902260,189951,551285,183720,737820,306254,120877,743443,-1,-1,-1,-1,-1,102039,262160,728862,-1,1843,209842,-1,273620,-1,584710,30566,-1,657201,-1,302966,-1,-1,-1,-1,423997,178125,153868,197876,-1,286349,-1,693641,550405,-1,-1,214352,-1,559216,633489,418609,-1,47551,-1,128396,-1,350127,-1,197489,647448,538766,-1,885131,-1,617111,-1,-1,763331,-1,909175,-1,26528,-1,-1,-1,-1,457184,365016,972562,-1,-1,-1,-1,503216,971556,671213,819129,466186,575247,-1,51104,-1,149387,-1,415669,-1,-1,236948,417595,-1,-1,-1,379606,631291,-1,662674,278187,37912,-1,-1,152548,541029,889592,-1,-1,-1,356576,-1,485879,-1,-1,617960,865487,-1,-1,-1,-1,349731,-1,-1,-1,-1,886044,767181,670504,582468,-1,-1,504999,-1,-1,-1,-1,-1,868054,-1,394256,-1,500697,50303,545140,-1,692169,-1,-1,724882,554329,-1,-1,-1,18638,-1,-1,-1,-1,682,407222,-1,-1,743292,125558,890579,782287,-1,562764,272077,794538,749421,-1,-1,320069,740348,683141,-1,-1,-1,575066,-1,-1,780278,-1,508139,-1,-1,405759,798244,14682,800352,-1,-1,-1,851724,356116,576473,239696,-1,-1,877780,-1,-1,-1,674028,-1,-1,42458,826445,392504,531751,-1,-1,-1,939434,-1,138162,336728,-1,-1,596606,-1,91708,360361,-1,-1,-1,18330,-1,-1,129474,680339,959460,271684,-1,-1,700653,528016,641652,629751,-1,274890,791480,-1,-1,599215,-1,-1,578837,740675,709544,523616,-1,152696,-1,125179,411105,-1,709051,-1,-1,-1,-1,-1,-1,-1,-1,874244,-1,801896,624632,-1,-1,-1,-1,-1,-1,-1,-1,473043,-1,-1,462890,285531,-1,746091,750498,183725,751582,-1,298327,-1,-1,-1,-1,-1,-1,591364,-1,249340,-1,-1,768702,-1,817892,-1,-1,637275,882870,359185,-1,-1,654209,364335,945535,645205,779064,-1,789427,222906,431636,115613,-1,-1,562663,-1,800775,461161,-1,585126,143880,635447,579307,663195,-1,-1,601377,-1,-1,-1,831641,-1,359226,293415,-1,943942,390680,289361,-1,-1,-1,-1,319340,192015,540261,-1,-1,613111,612955,939992,-1,-1,418079,88207,-1,870730,-1,-1,548418,-1,166469,850683,-1,897666,-1,-1,-1,516305,-1,-1,-1,84436,-1,669649,754091,83053,-1,-1,-1,-1,-1,221458,-1,-1,-1,-1,489867,-1,162177,-1,-1,677072,472143,-1,826463,-1,-1,766830,-1,324019,520754,673785,226100,-1,666175,481884,-1,-1,-1,122013,784764,-1,-1,-1,-1,-1,-1,351503,370915,835260,104146,-1,565123,476917,491110,181275,-1,-1,-1,249513,153295,66876,-1,971958,495169,886073,320142,435447,-1,-1,352317,76507,584712,-1,840915,-1,-1,871102,-1,9360,-1,-1,930991,965231,830219,-1,-1,225649,147947,138459,578744,-1,802740,-1,695874,85642,-1,719104,835995,896309,-1,-1,-1,-1,-1,-1,357739,-1,-1,138489,-1,-1,-1,-1,97097,-1,-1,634102,982931,308965,20790,574004,813693,112846,85455,618566,-1,-1,-1,-1,789124,-1,-1,282431,837478,-1,-1,-1,858940,-1,-1,-1,181680,-1,859064,414250,-1,851774,-1,-1,-1,143048,-1,657351,-1,559066,-1,-1,591574,693716,848305,-1,-1,939210,647456,-1,550055,60122,265344,433686,-1,-1,-1,818200,-1,143476,-1,160401,619618,-1,329096,534973,-1,-1,888162,-1,-1,89342,44996,667085,560839,509140,-1,-1,297647,494401,-1,545031,-1,-1,-1,-1,761702,819962,-1,284813,-1,892067,-1,147948,-1,664496,675705,-1,-1,-1,-1,470327,-1,-1,102091,-1,-1,484993,-1,-1,-1,-1,-1,486730,-1,702336,257153,-1,-1,736923,321361,-1,777756,-1,372166,-1,-1,784812,681100,83701,-1,-1,678756,218855,-1,-1,103255,-1,-1,73132,708579,702796,950207,-1,136488,-1,-1,-1,-1,573250,-1,-1,-1,-1,151242,-1,961029,-1,681519,-1,-1,-1,-1,-1,-1,-1,83638,-1,-1,-1,-1,842757,-1,403352,649461,409111,941060,-1,-1,43255,118266,-1,-1,807388,-1,-1,-1,-1,-1,678605,279406,864078,389575,-1,-1,-1,717467,-1,664745,317075,-1,320546,734429,-1,-1,818509,-1,47146,-1,-1,-1,-1,416420,557938,-1,-1,-1,-1,282316,810187,581554,-1,-1,748520,221632,-1,845310,111511,-1,-1,70901,503909,616156,-1,-1,-1,762938,-1,-1,-1,-1,334671,838493,934419,-1,-1,675272,22803,874434,-1,826825,355626,-1,527018,-1,-1,103769,-1,666411,-1,-1,-1,-1,-1,-1,-1,368699,376519,-1,533093,-1,-1,278908,-1,676657,799127,969111,-1,87736,-1,561166,938698,-1,-1,487834,763180,-1,-1,293211,-1,888306,912377,328355,-1,30105,-1,-1,-1,-1,-1,510852,552898,607799,511444,663807,626458,-1,479149,-1,365963,-1,388499,323054,178470,-1,807223,439696,-1,-1,-1,-1,390388,-1,-1,-1,-1,242419,939896,547439,-1,836545,434934,-1,-1,597515,-1,349214,300555,30895,722697,489387,3937,-1,261025,-1,-1,725499,669021,-1,916959,142620,-1,246491,877750,-1,-1,-1,-1,-1,-1,-1,682643,72408,-1,134949,-1,-1,-1,-1,366184,-1,900382,-1,-1,697955,-1,-1,243166,-1,685324,297893,500602,180301,-1,504926,-1,783404,174887,989443,-1,-1,-1,848250,760865,174589,273747,-1,777724,194589,-1,-1,-1,-1,651335,253316,554443,-1,959013,343158,-1,-1,-1,217330,702331,-1,30014,-1,520427,537685,-1,-1,-1,178891,322227,458699,-1,-1,516326,-1,-1,912631,834637,672293,465054,258630,514558,723184,952748,490856,-1,-1,338157,-1,-1,-1,-1,-1,465610,323099,686,101921,211826,-1,-1,-1,220882,991857,-1,441705,-1,-1,-1,30764,564036,-1,131462,-1,143198,850044,361881,-1,-1,-1,297645,673880,-1,459209,-1,127141,-1,-1,-1,-1,77399,-1,-1,-1,-1,119466,705000,-1,145933,-1,-1,815872,634257,807193,53628,-1,412658,728604,412634,430596,-1,92008,-1,-1,194214,-1,628609,427110,608991,-1,145556,803043,591353,-1,548749,471105,575252,-1,523636,52322,-1,-1,-1,-1,497809,-1,402018,620378,-1,640825,516275,196859,624029,-1,-1,-1,-1,-1,-1,-1,-1,73306,512002,-1,6310,-1,-1,85406,-1,978981,-1,847398,-1,736117,-1,307128,-1,599360,172766,172292,-1,-1,-1,-1,-1,-1,625359,-1,288846,466144,-1,-1,-1,-1,224434,-1,505575,64836,392270,57873,-1,630070,275272,-1,-1,-1,311887,-1,924863,650474,779561,-1,313653,807834,-1,-1,-1,306362,-1,-1,-1,-1,-1,-1,340687,707262,-1,-1,590490,-1,190236,468318,323608,679940,809326,203738,-1,-1,-1,637160,235173,-1,698101,856502,494212,259419,-1,-1,-1,-1,207875,856456,-1,-1,-1,730743,-1,457790,485968,-1,718359,-1,872442,-1,566181,-1,-1,-1,-1,-1,-1,-1,4635,942661,-1,387473,-1,-1,-1,-1,-1,-1,-1,860703,-1,-1,-1,-1,-1,-1,-1,-1,-1,854590,-1,506774,782768,-1,322351,566896,751566,-1,-1,-1,-1,226244,-1,-1,-1,865700,1874,-1,339988,-1,832642,648779,137317,-1,-1,830718,974223,-1,-1,484083,916436,-1,-1,-1,397646,30189,-1,286201,-1,908418,-1,826813,-1,-1,-1,-1,-1,74739,199394,28618,-1,928844,-1,-1,921790,-1,-1,-1,780714,-1,355308,-1,759157,940612,856602,62432,648099,22725,-1,806,977682,963968,-1,115719,-1,-1,830208,122715,472765,257963,-1,432123,748282,-1,927270,-1,-1,-1,79100,765534,-1,-1,594849,960955,473866,-1,-1,-1,-1,246172,855623,-1,-1,463186,-1,125713,241642,470376,-1,-1,317029,87873,462046,7052,-1,467691,-1,-1,879986,626317,993104,873498,-1,639264,165760,-1,942616,598349,-1,5607,918143,-1,483023,-1,-1,-1,-1,211330,369118,751864,338707,73265,-1,527275,-1,-1,62267,-1,-1,-1,706797,-1,498909,-1,46755,819303,638487,191374,243881,275373,220652,857762,-1,-1,-1,584085,-1,-1,-1,367894,306788,-1,-1,-1,-1,145216,-1,-1,752653,-1,-1,755762,257320,-1,-1,-1,713110,512744,-1,-1,829895,-1,-1,277061,-1,193353,-1,-1,436188,712365,423556,90999,664260,-1,-1,933257,-1,-1,-1,594825,-1,-1,420613,-1,-1,-1,869787,136650,-1,-1,941983,952472,-1,484395,842877,661913,439160,-1,-1,-1,-1,714470,-1,146821,231494,-1,-1,-1,817036,-1,856772,364601,-1,-1,-1,155035,-1,593845,136244,-1,855367,-1,33774,-1,937909,-1,150200,25128,933133,-1,-1,300677,-1,903499,-1,964315,-1,-1,282314,-1,120701,-1,43323,195791,55741,273627,848241,-1,334083,-1,-1,-1,-1,-1,-1,-1,794745,-1,692074,-1,-1,961197,-1,140402,-1,351926,-1,239998,750104,63620,-1,-1,479717,-1,55580,527478,-1,-1,-1,-1,68141,-1,843479,-1,721591,73053,-1,843828,-1,-1,-1,-1,-1,-1,-1,706194,797169,-1,-1,-1,-1,-1,-1,946852,336258,529557,-1,-1,-1,274759,-1,92172,-1,433716,382946,-1,-1,454294,-1,-1,72198,-1,630756,235126,641860,-1,-1,-1,628224,341033,-1,-1,-1,-1,804888,-1,-1,648043,-1,-1,-1,-1,833151,-1,-1,-1,291165,-1,171726,269106,930034,-1,-1,-1,283133,-1,-1,850487,243334,-1,-1,217610,-1,156412,406500,-1,316095,-1,294564,-1,365742,-1,143221,-1,-1,-1,-1,-1,-1,777974,724572,460153,140539,-1,-1,-1,893624,-1,876176,-1,952077,-1,127972,568738,-1,-1,-1,889369,-1,127204,-1,748781,-1,583543,926273,-1,-1,-1,-1,811241,-1,266546,68194,411739,567061,-1,268028,894706,-1,665227,-1,590484,794064,188263,877972,759875,-1,538333,855177,-1,623313,-1,-1,-1,-1,-1,924116,927936,139497,-1,-1,-1,-1,135979,-1,979909,798462,-1,-1,568895,938298,930907,-1,-1,152588,-1,649368,-1,707002,-1,385212,334790,-1,-1,18902,321182,542104,-1,-1,-1,-1,163643,-1,360964,153249,-1,616501,423527,157908,-1,-1,-1,-1,-1,78498,-1,626051,-1,-1,430959,-1,739545,285115,698032,28483,889188,-1,-1,848784,714162,387092,-1,68943,223580,-1,-1,762837,458627,-1,678085,990370,513335,-1,-1,126360,913482,-1,815304,360503,829678,837517,823054,956915,-1,-1,-1,161966,-1,-1,547031,321390,-1,951520,578549,-1,-1,616040,589538,-1,954525,-1,756014,-1,-1,871147,660538,-1,-1,-1,742479,924464,-1,268286,95280,452983,-1,-1,945129,-1,938390,513499,-1,-1,447596,-1,1995,-1,-1,-1,-1,-1,-1,-1,-1,-1,174110,-1,-1,369444,739625,50728,155067,-1,188106,293610,-1,-1,-1,535797,-1,-1,73474,-1,-1,-1,-1,-1,553088,-1,269369,-1,-1,-1,915707,-1,-1,991761,710742,-1,884712,-1,95251,747952,789731,322196,330064,-1,-1,511029,-1,-1,587725,235375,-1,21419,-1,758378,-1,707079,693955,17121,-1,-1,806310,-1,-1,795911,115497,584778,656698,-1,-1,-1,-1,-1,772364,216874,886261,534191,-1,-1,172431,-1,-1,94541,-1,676215,71400,58337,-1,-1,771325,298263,474703,-1,236272,-1,826750,-1,965519,-1,801906,910182,-1,-1,399620,518987,742870,927358,-1,-1,470259,-1,-1,-1,833660,959462,368860,762082,-1,-1,577169,-1,843985,46783,524763,817132,-1,-1,23567,790987,317899,-1,722824,499047,-1,163568,68193,85883,235879,-1,-1,-1,619342,-1,-1,735884,286749,37407,-1,-1,454602,647405,763126,-1,793192,-1,-1,47891,449681,-1,-1,-1,164044,-1,303259,477840,453833,992695,-1,376998,14820,-1,-1,103824,-1,822095,-1,966791,-1,439836,-1,-1,-1,567142,-1,-1,713056,244867,466463,622876,-1,505115,49047,-1,-1,308467,-1,484218,474857,240837,-1,668975,49316,-1,-1,-1,-1,-1,-1,-1,787342,-1,-1,-1,491097,938515,188380,-1,-1,387464,142808,881854,-1,-1,-1,179847,94148,987433,472248,97631,-1,507866,-1,-1,-1,-1,986955,-1,38392,-1,203306,567396,101101,-1,974168,464017,-1,-1,-1,-1,313643,485080,479562,-1,-1,830350,-1,882400,-1,-1,-1,-1,146138,598396,362899,143678,-1,-1,921730,535414,-1,-1,-1,-1,175704,-1,-1,77438,-1,-1,939699,-1,-1,328582,-1,899477,-1,-1,276084,758899,-1,-1,-1,-1,986554,-1,256611,-1,7624,-1,196246,434776,-1,-1,-1,-1,424537,-1,70676,-1,-1,543440,567665,422105,927006,-1,807632,-1,-1,-1,690132,784944,864953,478364,760946,990374,590496,468653,85998,236633,-1,705655,555797,457750,609076,562862,278266,779139,-1,933707,-1,350080,440101,-1,-1,411846,-1,454272,-1,773942,434833,440351,-1,446091,988375,-1,492081,190807,-1,620381,738576,-1,884544,-1,-1,968797,886787,-1,-1,-1,-1,-1,578247,679559,-1,-1,450689,-1,-1,962509,889051,-1,31726,879803,-1,640180,-1,761391,411662,694442,587113,-1,794593,-1,-1,561077,-1,-1,-1,784970,345677,-1,-1,-1,835388,871724,528543,962103,-1,185722,-1,-1,931852,140773,-1,-1,-1,-1,828649,-1,216639,-1,-1,-1,-1,980459,478431,380230,434284,274669,-1,798942,279595,901283,855015,-1,807925,378864,-1,525045,-1,-1,357933,558528,-1,967811,618604,320507,933761,737098,772078,778584,-1,-1,-1,476517,-1,-1,275587,384759,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,986372,863061,286784,-1,704953,-1,-1,607122,38298,191882,997289,504058,-1,-1,133152,-1,767822,861890,533035,-1,-1,601548,-1,540289,15708,420320,403205,-1,-1,-1,-1,-1,807970,-1,306127,-1,-1,81980,952581,702567,-1,708957,-1,841720,875391,974398,-1,-1,-1,612514,782640,154535,-1,896507,-1,-1,22918,-1,675411,968715,-1,-1,-1,-1,-1,468985,-1,530395,254466,297564,-1,531616,190094,-1,-1,781648,-1,-1,-1,262712,918930,-1,-1,-1,-1,161997,-1,-1,-1,370388,273751,800716,-1,614016,441864,786540,733806,944443,-1,-1,-1,379164,-1,436705,-1,-1,-1,-1,386378,-1,-1,639201,-1,-1,719639,623349,938535,491687,-1,216411,630253,905787,167172,904590,419796,-1,580228,-1,-1,65319,42679,-1,-1,-1,56360,12621,-1,-1,821819,640410,-1,-1,988860,-1,657628,-1,-1,993314,443154,-1,-1,914602,774431,855450,559662,-1,995661,203891,-1,-1,-1,-1,-1,491509,-1,-1,-1,-1,-1,-1,-1,-1,125580,825210,776923,-1,797787,458611,874983,-1,590793,-1,186993,-1,8270,560190,571166,-1,497193,-1,-1,-1,187682,-1,195302,-1,-1,-1,376551,574790,-1,-1,39170,-1,-1,254264,-1,387560,325411,685695,-1,473713,179677,771365,427756,-1,-1,339076,-1,-1,-1,-1,-1,582456,808285,660490,781554,-1,-1,876744,632437,899576,440429,759028,-1,415652,-1,-1,-1,-1,-1,-1,-1,-1,78230,-1,-1,-1,-1,-1,45746,-1,130730,-1,79614,-1,620529,297687,254462,-1,227781,-1,-1,-1,-1,73539,-1,-1,816799,-1,-1,129970,785320,939726,-1,609130,641193,588623,-1,-1,-1,-1,135404,-1,422321,-1,530657,340510,-1,-1,468694,-1,-1,31112,-1,261519,-1,-1,-1,497901,142926,523009,-1,-1,772272,438712,-1,236066,487631,245307,-1,-1,359715,-1,107640,-1,483792,-1,-1,-1,-1,110157,667764,517873,380898,986844,-1,709227,-1,282967,769934,-1,-1,-1,-1,-1,251462,574693,231886,-1,902608,769786,-1,-1,-1,-1,-1,151163,-1,768930,525158,-1,333034,-1,-1,241718,149339,-1,-1,-1,-1,273923,-1,494216,-1,806666,712944,-1,-1,160978,256912,-1,-1,-1,172013,11920,-1,63651,228197,-1,339530,864554,727613,621229,-1,-1,145250,348761,-1,-1,267481,-1,612588,-1,-1,-1,763000,-1,628929,851523,596735,-1,182939,-1,-1,-1,-1,947003,490455,-1,137122,-1,654142,319349,-1,-1,-1,667964,-1,358610,783145,576650,242676,-1,804434,634796,867267,-1,342181,-1,216854,-1,258433,792595,-1,17849,573543,-1,812150,558842,-1,-1,-1,-1,-1,-1,723346,300232,-1,272730,-1,369339,-1,21677,-1,-1,91702,526449,4527,521894,-1,-1,591531,-1,-1,300951,-1,-1,-1,-1,-1,531362,246559,326013,88556,-1,-1,518738,529065,-1,449523,228935,-1,437259,480805,648412,608891,388740,9524,308040,-1,906377,415037,-1,641967,-1,679179,-1,865910,-1,-1,-1,-1,721673,776538,-1,341416,-1,715080,614314,842773,-1,140192,920793,-1,-1,228986,-1,565519,961147,657044,-1,-1,198532,-1,-1,338118,773636,686350,-1,184593,-1,-1,-1,272633,574721,-1,-1,-1,890771,141391,-1,-1,129676,-1,14577,-1,-1,-1,835759,-1,-1,78762,-1,-1,-1,-1,-1,196722,498279,-1,668102,884506,935530,218091,-1,454754,-1,-1,388060,687261,478079,591852,-1,-1,456609,-1,-1,-1,314110,-1,870931,-1,-1,-1,171497,667011,-1,-1,147298,-1,-1,164352,326811,-1,765309,917546,-1,861537,-1,434871,640280,-1,966794,-1,919903,-1,958653,-1,-1,-1,-1,-1,807708,652845,404183,434488,205434,168358,-1,-1,-1,-1,448140,-1,91308,-1,-1,-1,121954,-1,-1,-1,414959,-1,-1,-1,-1,882013,834736,153208,-1,200630,16383,-1,197816,364279,-1,-1,-1,716708,541742,-1,-1,75769,-1,-1,138717,-1,971774,852086,-1,-1,921209,177379,625311,989300,349336,687715,517403,494162,-1,376229,320209,-1,992607,313073,91818,874309,-1,253677,-1,-1,767486,23875,-1,100764,-1,-1,519825,-1,-1,-1,501583,603673,49375,825149,805376,939205,-1,899503,-1,-1,-1,350311,986871,791680,-1,-1,-1,118210,273811,-1,693304,383779,-1,-1,356409,313745,-1,271227,956552,-1,-1,-1,-1,-1,60232,-1,-1,810962,272638,-1,130839,-1,596881,250254,615868,657765,854548,-1,-1,840928,6355,-1,-1,288254,162682,-1,-1,-1,-1,645216,406969,-1,-1,904621,2873,-1,-1,970340,-1,-1,200531,238916,-1,639341,-1,179277,698449,-1,-1,536562,-1,-1,-1,-1,-1,21796,779151,543686,-1,-1,156193,786439,-1,915511,-1,-1,-1,-1,-1,-1,550062,31332,-1,415655,-1,-1,-1,516552,-1,-1,341091,671890,169439,-1,597911,791996,-1,347620,-1,633514,744147,-1,965116,-1,186175,-1,295354,584726,981722,-1,-1,-1,161226,-1,416293,-1,173172,65920,-1,-1,601921,-1,-1,-1,-1,765930,-1,-1,320560,350992,901128,-1,-1,274845,-1,334307,-1,442429,494020,-1,166777,-1,-1,182193,913892,-1,-1,-1,-1,733210,-1,617630,-1,-1,-1,-1,-1,543429,-1,716002,80631,926144,331803,-1,889718,-1,102026,215778,-1,374067,233641,778315,-1,137619,376914,758670,-1,858780,-1,502860,-1,-1,97030,-1,-1,-1,748045,-1,838325,-1,362819,-1,-1,-1,-1,580982,721997,621120,847525,959370,-1,-1,-1,-1,621807,524922,-1,-1,-1,415818,-1,320870,-1,934967,-1,-1,402005,851030,-1,533394,-1,-1,-1,-1,-1,283689,624602,-1,270768,843270,-1,-1,-1,-1,-1,952496,-1,172320,-1,-1,-1,58240,649144,858430,-1,-1,-1,954471,384482,984617,578115,191754,-1,-1,-1,693302,-1,-1,666022,303631,250692,5660,-1,94126,-1,934941,-1,-1,407048,744559,-1,991834,-1,437623,-1,964513,-1,-1,-1,-1,-1,-1,296143,822463,414071,-1,-1,890727,470097,-1,-1,-1,892368,-1,837299,-1,-1,-1,-1,-1,337998,-1,-1,-1,-1,796001,-1,-1,-1,844135,-1,246330,-1,-1,705117,-1,-1,-1,686416,-1,585280,898538,-1,-1,-1,695138,-1,944826,51472,304651,-1,-1,456747,-1,189731,-1,183489,742305,-1,-1,114960,100447,278943,-1,89686,-1,855001,933101,345443,30589,-1,-1,250313,948003,317907,-1,-1,-1,498534,-1,883922,-1,-1,612974,-1,-1,881736,-1,-1,316686,-1,-1,-1,-1,-1,-1,662863,-1,-1,806436,978170,760464,298968,-1,176383,573115,-1,898873,1653,-1,972158,-1,-1,-1,509905,-1,-1,997616,975214,924433,735883,15822,-1,-1,-1,581385,-1,623329,593261,-1,-1,923985,350629,121696,980312,268533,918629,-1,505824,-1,-1,880982,-1,-1,-1,354497,-1,738954,-1,372300,160733,-1,-1,657764,868127,266749,262184,455755,25285,744048,-1,-1,-1,73516,15599,-1,-1,243912,453161,-1,960631,707303,-1,612577,245598,-1,547994,-1,415367,-1,-1,-1,-1,829778,-1,72850,682667,-1,30472,756567,583052,-1,-1,-1,-1,817421,540201,111845,-1,374774,-1,-1,-1,947947,65616,-1,401690,121039,850963,-1,-1,-1,422086,-1,-1,-1,621032,612093,-1,-1,-1,342501,60076,-1,-1,-1,717864,-1,298349,-1,-1,-1,-1,-1,-1,484191,857327,369027,-1,-1,-1,-1,766082,296370,-1,-1,322454,308436,-1,866676,-1,-1,996600,344020,-1,-1,-1,-1,-1,-1,927878,-1,-1,771185,210089,647371,671736,-1,768623,-1,-1,-1,344643,225520,510771,729247,-1,54713,-1,98501,522941,173112,12764,-1,-1,614944,638010,838230,-1,609636,-1,-1,-1,-1,-1,118748,715380,984672,357864,369173,-1,-1,63083,-1,-1,-1,-1,-1,102506,581149,-1,-1,968268,-1,620614,592781,-1,-1,-1,58818,-1,-1,-1,-1,-1,-1,-1,987277,185728,552907,-1,-1,-1,785482,-1,919919,-1,990598,215801,-1,-1,748015,149909,-1,557807,243645,-1,822974,403104,-1,135941,-1,-1,912310,981584,-1,-1,421827,404690,658537,-1,-1,279537,-1,206850,-1,-1,360293,-1,-1,-1,957759,543901,185042,-1,311614,406638,39755,679779,-1,-1,324193,303892,-1,231615,730027,809166,-1,390980,503872,-1,317361,-1,775383,370478,692760,562768,-1,887424,15266,630600,603299,-1,-1,427652,468576,787179,966866,812048,-1,-1,199275,-1,592081,846028,938557,-1,204264,604385,365590,-1,-1,930647,824235,-1,366747,-1,-1,-1,607819,241836,431918,-1,-1,550901,453505,-1,-1,-1,453961,-1,-1,262386,-1,977879,340651,-1,-1,798894,-1,112349,944242,57500,-1,-1,-1,-1,-1,-1,290226,177484,895288,-1,-1,128275,202928,-1,48772,-1,-1,918323,-1,-1,-1,-1,-1,757688,-1,97964,-1,295465,370133,887711,835783,203324,-1,97735,-1,229319,-1,779563,-1,-1,-1,-1,554099,786781,-1,-1,-1,-1,-1,-1,652642,-1,-1,261020,280797,-1,-1,-1,-1,-1,14739,-1,-1,777192,-1,773191,260220,396562,938620,-1,-1,-1,-1,-1,-1,731232,-1,-1,-1,726492,99649,-1,113059,-1,-1,832596,-1,-1,287338,390581,-1,720512,687273,222612,-1,-1,687377,8317,41202,-1,439435,-1,862831,-1,-1,13001,316986,-1,-1,-1,-1,125734,958162,-1,805798,940983,647564,-1,-1,154219,-1,-1,-1,-1,394448,834947,508593,-1,-1,-1,226148,-1,-1,890541,-1,853791,807721,1118,-1,333573,730302,-1,657438,-1,700756,104286,492407,334096,33550,906348,-1,-1,-1,-1,728838,-1,-1,638219,278076,-1,410311,969203,312914,-1,-1,519799,578090,-1,994868,252249,428477,-1,-1,-1,901914,518782,266693,533104,-1,-1,852264,-1,937552,-1,456917,-1,-1,436694,-1,-1,-1,-1,513106,721259,808317,-1,806825,308717,-1,-1,-1,-1,-1,31153,919647,548829,-1,244164,-1,-1,-1,-1,797112,801775,573132,22032,-1,493633,-1,296319,527866,388155,5171,-1,265370,-1,565129,720009,-1,847158,593389,-1,874016,989445,-1,469414,492368,-1,-1,74421,-1,183612,728742,17814,742569,-1,-1,869332,-1,-1,416202,88507,-1,964855,-1,-1,-1,228909,-1,-1,655662,-1,670674,-1,-1,-1,249616,-1,-1,299294,660302,-1,345038,792958,68916,665405,-1,931801,-1,989669,-1,802694,-1,-1,514818,439990,212498,-1,223827,-1,-1,-1,-1,694910,896230,471030,-1,-1,-1,-1,-1,-1,45718,99949,19099,773937,-1,-1,-1,146197,346079,239693,611662,-1,-1,-1,-1,159674,30382,629089,-1,-1,-1,-1,198618,-1,-1,-1,56744,747974,-1,246339,357001,-1,649535,561966,215832,331368,814547,-1,702283,-1,-1,749564,-1,-1,184472,-1,-1,685509,980908,267732,-1,-1,-1,437681,705164,647782,391306,930166,-1,-1,385952,910630,882660,-1,275019,-1,326304,-1,163283,-1,846821,848030,465104,883858,673945,-1,-1,634543,365137,-1,-1,-1,758642,-1,470123,621950,524110,116616,760708,617586,-1,-1,971416,663835,592981,-1,293547,447792,186656,-1,-1,-1,759903,294610,855360,-1,538858,552728,-1,280219,-1,485131,-1,323096,-1,-1,480855,552529,-1,-1,-1,-1,993010,-1,46841,-1,92742,-1,159293,765229,-1,37967,-1,485714,72557,-1,972514,-1,492929,947340,161382,171053,-1,434323,-1,649805,695629,-1,-1,-1,537387,351414,-1,458734,293836,-1,-1,579778,396102,-1,464657,-1,765924,573867,606043,-1,35642,233040,201966,756203,339041,778917,-1,-1,430063,175444,55605,-1,-1,646245,883707,742083,-1,-1,416621,-1,545639,-1,-1,-1,970005,-1,-1,831257,-1,597978,-1,-1,656639,755879,-1,-1,-1,393259,715067,504359,979617,880271,-1,-1,817183,-1,-1,-1,-1,5865,-1,-1,-1,517907,-1,411885,-1,-1,-1,422013,731709,-1,349980,270139,574246,-1,-1,832546,22155,334719,-1,-1,562846,328810,952312,927349,260685,-1,879062,-1,961591,605718,-1,-1,991856,40866,-1,323700,604224,-1,-1,493536,302828,187462,-1,328344,-1,536175,-1,828713,892466,412305,189084,441144,446456,-1,411677,712094,501521,-1,-1,-1,629204,-1,520321,910812,490781,598796,-1,123717,439790,-1,187992,43491,853366,-1,350025,275113,-1,547583,895156,60047,1040,124177,-1,-1,-1,111325,848856,-1,-1,296332,722241,286161,315187,-1,-1,-1,-1,-1,830166,719505,509745,-1,-1,247802,-1,988457,-1,782037,-1,655318,125849,391318,662650,196153,-1,615037,-1,682755,-1,-1,703094,317503,180854,-1,-1,736620,-1,-1,-1,476616,-1,42237,837312,27409,-1,-1,763532,-1,918333,-1,-1,313736,133442,722436,767344,-1,-1,984391,-1,888366,-1,-1,469238,241128,23925,219981,-1,-1,763404,82072,799459,-1,412963,-1,-1,108255,314462,-1,79461,-1,369688,388953,268234,781462,695743,729945,488075,193189,-1,-1,127017,-1,209669,920600,514228,-1,479428,-1,135121,-1,792397,-1,325487,-1,950093,-1,-1,312084,103986,-1,94716,221861,14368,987453,-1,603717,-1,442682,-1,-1,831300,-1,-1,-1,2942,-1,193723,697253,-1,676240,542451,-1,125136,405797,-1,-1,639371,650572,-1,-1,-1,-1,402006,506112,412415,-1,-1,-1,511035,-1,733314,-1,-1,-1,-1,119913,-1,-1,961142,98006,663891,771072,478829,167347,-1,-1,-1,697844,-1,825116,798303,-1,804488,-1,751140,-1,-1,168054,118914,-1,944621,533497,492915,-1,-1,541402,-1,-1,398247,-1,335894,78652,-1,-1,416125,-1,401593,-1,-1,-1,101229,-1,673601,-1,-1,788158,575321,987610,891571,-1,-1,596385,-1,251870,186905,-1,-1,-1,555871,221908,-1,85841,146354,86395,908387,-1,591800,-1,-1,925115,-1,249659,-1,-1,907816,767691,-1,-1,750255,611915,-1,-1,-1,-1,-1,-1,875598,971328,77201,-1,-1,-1,-1,925633,627017,362066,63165,295495,-1,69538,-1,434173,815746,991888,-1,293724,804855,979939,-1,-1,433086,967733,-1,-1,-1,88832,582093,-1,64909,-1,101935,-1,-1,625506,-1,-1,774665,812913,462711,-1,-1,28596,-1,-1,905148,-1,834268,275253,759734,680343,-1,686713,-1,458224,416741,-1,-1,580754,229069,271074,-1,731816,-1,-1,-1,918728,308952,20660,114711,341327,-1,924888,814172,-1,-1,796660,411587,-1,-1,505555,-1,-1,111499,590109,-1,933040,95034,-1,-1,-1,788118,-1,-1,177465,-1,435346,578424,-1,511458,-1,285665,583254,-1,909225,318489,609429,307723,-1,-1,-1,-1,393310,598792,-1,-1,656245,600697,-1,-1,447597,197991,508100,-1,-1,934210,587949,756216,-1,979313,493028,478940,-1,-1,-1,-1,-1,-1,-1,-1,488611,121731,782002,21634,-1,-1,161809,-1,697396,104732,679415,452008,-1,-1,-1,-1,229313,-1,-1,-1,-1,-1,795787,260913,425556,-1,190792,-1,477399,5993,-1,211286,-1,-1,-1,37499,959269,689395,-1,181181,678820,786544,-1,-1,-1,763019,-1,-1,-1,113931,140299,778417,994618,404913,-1,-1,682731,-1,354977,420942,841085,104172,-1,229590,753334,577,-1,913565,946220,-1,571793,320329,775226,-1,596351,-1,-1,243950,-1,205617,-1,206251,40214,-1,-1,-1,441570,-1,-1,753267,-1,250864,-1,194878,425064,274280,-1,-1,283001,630181,616399,-1,-1,-1,-1,-1,446988,742567,-1,160594,500253,516845,-1,142899,-1,324318,160739,730657,392988,308545,558078,461112,412152,205011,601356,-1,669559,-1,202294,628065,454737,-1,817408,-1,860574,-1,60109,-1,159646,785923,-1,995278,-1,635412,479687,-1,-1,309131,-1,172112,-1,11567,-1,478152,888444,10159,-1,86104,87382,-1,92903,74289,-1,-1,-1,238776,535165,-1,-1,878968,833566,-1,441110,-1,-1,948866,-1,-1,713278,894205,742878,856249,711711,873069,318366,-1,-1,-1,-1,-1,320064,702147,482515,725725,-1,-1,-1,873427,904508,303193,-1,865981,748293,-1,-1,-1,-1,531922,388924,137763,-1,-1,-1,943935,-1,197475,341218,-1,-1,580335,95640,746021,-1,-1,-1,82217,486933,-1,299476,-1,-1,-1,740199,643012,-1,-1,-1,-1,450873,-1,689062,609702,507346,-1,553846,565244,-1,53208,61665,750907,911395,-1,780176,773467,-1,949324,485994,-1,488490,-1,320993,-1,-1,180084,417199,60492,533089,160356,-1,502223,970277,794085,-1,474570,283196,150261,237140,-1,-1,-1,346103,42736,-1,367954,124239,330370,-1,-1,-1,392654,646467,-1,651493,582289,20136,-1,-1,-1,557439,874152,270348,321336,565388,96071,730170,-1,-1,183809,-1,-1,625500,-1,468150,-1,605571,-1,-1,896772,-1,-1,369657,-1,-1,656003,40496,225035,-1,-1,453188,924014,-1,-1,69518,531755,359684,208814,-1,615065,197498,809191,-1,235414,722363,848758,971060,751961,79101,402171,-1,45140,227882,243,-1,740089,-1,-1,-1,-1,-1,786226,995726,843032,-1,-1,-1,-1,-1,98283,-1,235686,471904,-1,-1,203359,-1,914140,131509,378921,170671,196587,111441,700794,685885,-1,-1,354569,-1,-1,73853,-1,146222,744763,-1,-1,619265,542846,723109,385464,-1,401675,-1,-1,-1,707805,609044,-1,700219,987951,-1,-1,981664,73195,-1,-1,579787,-1,-1,272524,627109,264419,888207,304114,288536,-1,-1,683038,493460,658229,-1,-1,-1,-1,-1,9683,330504,-1,861914,-1,163141,821645,-1,-1,605078,-1,-1,-1,-1,-1,480679,624799,822695,886520,-1,-1,-1,867335,-1,-1,521836,905436,946462,772573,217250,-1,830533,-1,-1,-1,-1,710983,611613,951213,-1,-1,406332,-1,-1,-1,307130,-1,-1,-1,-1,-1,113443,-1,638931,-1,-1,-1,586857,344650,734771,677436,-1,-1,-1,-1,702665,-1,-1,-1,292464,-1,-1,-1,330705,-1,-1,799757,-1,872945,458506,-1,646435,-1,-1,-1,394560,-1,-1,427661,214576,931126,295369,-1,-1,525754,-1,415917,782298,-1,543034,-1,297083,308183,-1,-1,696011,-1,481275,-1,52053,911719,50973,338495,7823,867703,953718,-1,248410,-1,682265,75173,980444,-1,-1,-1,-1,-1,613559,-1,21851,373379,164653,865674,-1,-1,228823,185909,744914,801060,388882,886444,-1,-1,455442,202452,31236,240222,484363,183181,301374,937235,349243,432980,295824,-1,-1,157096,703636,-1,564550,-1,-1,-1,828558,948516,550752,-1,-1,-1,-1,255598,567059,-1,-1,-1,264355,-1,831883,802164,625570,610201,-1,-1,-1,436207,494808,-1,699370,-1,-1,-1,298017,627536,-1,487940,439740,768398,-1,-1,36518,-1,-1,66292,577151,-1,847746,985465,590747,-1,465568,559663,114443,192061,-1,980757,623663,319442,-1,-1,290543,65756,708415,-1,-1,-1,-1,936265,711167,218470,546001,-1,-1,513358,-1,199798,-1,639817,-1,455006,919980,-1,259427,567319,871876,904863,-1,462781,4640,568903,114252,248137,514004,-1,898083,499814,-1,-1,-1,-1,723097,-1,-1,63323,887701,-1,-1,354184,64811,-1,-1,-1,-1,-1,-1,-1,-1,135166,-1,811991,804776,-1,-1,323111,440703,-1,-1,-1,-1,-1,-1,449584,795139,509202,517657,644287,745356,89242,834978,719805,596235,785016,-1,-1,525196,147716,-1,867879,-1,897650,72217,-1,435119,-1,-1,-1,915291,-1,944283,-1,-1,870249,210911,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,316003,-1,473085,48156,937248,351070,-1,987560,-1,-1,758707,225736,-1,485653,-1,279805,-1,520724,764239,102894,-1,582291,-1,-1,-1,448046,-1,-1,-1,-1,41073,-1,734433,-1,684220,399551,-1,298200,-1,835145,506690,-1,835613,-1,-1,-1,-1,-1,327233,839997,451865,-1,-1,198836,445217,-1,462357,-1,-1,584327,891211,-1,214252,405628,-1,403659,-1,690766,-1,-1,-1,13941,-1,283619,-1,234901,692593,-1,7856,948402,-1,113214,-1,-1,-1,-1,298089,-1,-1,964919,-1,-1,2265,-1,-1,658536,-1,66284,510091,-1,-1,-1,312974,-1,983201,844691,-1,872802,471151,-1,-1,353112,-1,881668,656611,971469,-1,305991,-1,10155,986068,-1,-1,26292,367113,58807,96996,-1,75612,955026,-1,467905,-1,-1,-1,760107,-1,-1,-1,230701,98326,-1,-1,130548,327156,672244,151939,-1,-1,579263,-1,-1,15020,-1,476898,-1,986918,719756,708948,203740,188863,94847,-1,63589,-1,-1,581783,946809,-1,928265,-1,-1,-1,746372,-1,-1,-1,-1,-1,-1,28857,141272,760159,486962,-1,506638,-1,124390,206205,41582,430583,873720,212714,-1,-1,696601,617333,-1,580580,-1,-1,-1,-1,-1,-1,-1,-1,-1,338869,-1,410399,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,3208,-1,-1,-1,857775,868918,806117,475650,135274,510971,546372,-1,4945,498114,658061,444201,-1,564810,-1,-1,-1,-1,-1,-1,876916,-1,461239,-1,-1,-1,-1,414450,-1,-1,-1,187360,-1,-1,270168,-1,-1,-1,864038,516190,-1,-1,-1,497110,-1,751133,-1,-1,855923,-1,933771,-1,-1,652529,-1,111279,-1,840170,202213,461228,530675,-1,-1,-1,-1,448249,-1,321392,-1,766888,884427,-1,110066,-1,744934,-1,-1,695897,333944,327009,-1,-1,-1,813617,919901,-1,855683,-1,-1,-1,-1,-1,-1,757508,205121,991743,-1,-1,699529,455980,-1,311125,195181,676119,-1,599837,-1,-1,510442,-1,-1,461122,-1,-1,-1,-1,787053,314933,-1,385435,-1,-1,-1,421177,-1,-1,672670,-1,550261,-1,578953,267497,-1,296799,-1,-1,934258,366480,853147,930748,-1,611721,-1,160376,-1,851389,797566,-1,-1,-1,475468,773375,-1,124028,-1,-1,627029,-1,167123,-1,856309,-1,138973,714823,834003,24674,138384,-1,-1,497388,80229,255539,-1,734594,-1,-1,984430,-1,67513,-1,-1,-1,716051,189248,425841,-1,953411,-1,-1,693201,763840,-1,108137,971887,145664,-1,81515,-1,-1,-1,-1,190854,-1,988941,364493,541889,668309,-1,52431,-1,-1,805740,106346,453590,-1,261456,-1,-1,280548,645221,132336,-1,-1,810797,897637,364346,-1,-1,598426,943571,745702,-1,652182,98581,293275,590037,-1,-1,-1,840355,-1,-1,-1,-1,-1,-1,190345,377203,-1,240185,655306,547986,-1,-1,488221,-1,864684,696030,-1,-1,854627,-1,-1,319884,496353,-1,356693,-1,-1,-1,168259,332548,979208,486168,-1,-1,-1,444649,774137,-1,142113,133581,-1,576045,457277,300753,-1,-1,22041,-1,34231,852549,987136,87546,886804,791511,773251,-1,-1,-1,-1,-1,431506,-1,845873,-1,-1,770544,847946,-1,-1,-1,-1,156678,113502,-1,995695,-1,-1,-1,-1,126914,-1,672432,23522,179947,-1,-1,873351,-1,489708,834105,631727,-1,-1,461426,756715,443270,935073,-1,-1,-1,-1,-1,972704,-1,-1,-1,-1,6720,-1,121491,859446,172307,-1,704395,86892,161775,849608,413202,89703,882,-1,949272,106406,-1,121846,-1,-1,-1,844394,922255,701687,-1,-1,198413,-1,776568,-1,-1,-1,611520,-1,-1,671371,673981,-1,364403,-1,896192,235473,-1,664682,-1,-1,524211,211457,257905,-1,-1,-1,164165,807855,-1,184684,-1,73128,-1,304395,390659,801843,408900,-1,146845,-1,540937,-1,-1,623858,-1,-1,-1,-1,659988,270214,924983,-1,868823,-1,289109,716057,-1,-1,768193,939012,-1,-1,190000,758964,-1,-1,-1,-1,-1,-1,853916,-1,57683,375450,503370,273037,56325,776642,441143,-1,755580,-1,-1,798606,958177,-1,-1,684243,-1,451005,385949,855202,-1,330316,-1,514895,-1,921168,953412,295993,636087,-1,-1,743687,262764,663648,-1,939914,533596,988312,396017,-1,-1,-1,631959,732722,-1,-1,601838,-1,-1,-1,-1,531999,6395,-1,-1,563289,889572,481932,-1,233528,-1,358648,-1,639031,10130,483518,474324,-1,193483,-1,989530,-1,925420,-1,-1,219437,423463,51182,-1,814249,101367,819876,-1,-1,-1,-1,-1,-1,-1,-1,-1,304801,-1,129368,541969,116863,931115,-1,-1,-1,-1,-1,-1,852082,861634,-1,808829,683114,-1,676774,554672,986101,13154,-1,371683,899288,429597,-1,300667,856206,-1,836653,290805,908073,981357,-1,-1,-1,320646,-1,851235,777300,-1,52263,205715,535928,774534,-1,-1,478879,297331,-1,-1,497554,-1,728047,594402,-1,562251,-1,518279,-1,-1,127341,273566,182336,399280,223411,98045,-1,228647,-1,-1,-1,142943,-1,596068,332105,52618,-1,510868,358057,95777,-1,-1,-1,-1,772653,-1,817359,23553,-1,636913,838848,-1,1022,-1,-1,696402,-1,768123,631322,-1,646445,312274,-1,512197,-1,-1,720296,648201,170537,-1,-1,739538,-1,319809,-1,-1,-1,388345,-1,-1,532068,350258,39361,921513,566569,-1,-1,43613,-1,795188,826394,983049,-1,-1,-1,-1,-1,-1,300001,628917,-1,988376,155863,308830,798081,-1,666647,-1,474176,232481,688918,-1,639618,981979,-1,-1,-1,-1,861188,827817,211111,634088,-1,698217,252451,533083,412085,-1,614770,-1,-1,232875,-1,987023,880254,-1,881874,-1,741177,-1,595991,833761,-1,673440,587072,810986,-1,848973,319567,629449,152457,-1,748222,-1,627978,-1,-1,-1,-1,940995,202653,-1,666403,-1,-1,675146,-1,-1,-1,342156,-1,-1,-1,-1,746417,227630,-1,-1,-1,-1,-1,394759,-1,794558,-1,417365,-1,-1,485024,17556,-1,-1,-1,-1,431965,223231,411145,-1,-1,808768,-1,116774,512214,-1,-1,-1,955714,-1,-1,-1,406648,-1,251314,143907,17480,530458,961782,284999,-1,162078,-1,689033,867071,599056,832833,132764,-1,395816,-1,941974,-1,955165,-1,316409,-1,482576,-1,-1,360859,429984,739543,-1,-1,447511,714324,208113,642481,82022,-1,777922,-1,976084,-1,360785,880138,289563,881646,233082,-1,260616,427146,-1,-1,331137,-1,760790,990055,35016,-1,-1,-1,-1,-1,-1,-1,108979,-1,807358,-1,132636,-1,157480,-1,-1,536362,384535,359241,-1,-1,-1,-1,814214,-1,-1,948670,-1,-1,462780,-1,274534,365934,499589,-1,613187,-1,404404,101607,559635,772463,-1,79642,879595,270016,841762,-1,-1,-1,963313,653320,569909,-1,-1,-1,987087,-1,165432,614988,-1,-1,-1,-1,485789,441013,193525,253166,901194,-1,874174,698565,854170,-1,-1,143739,-1,822228,583566,-1,-1,909730,-1,547181,-1,-1,-1,-1,546303,943769,-1,-1,209942,904309,-1,-1,-1,-1,-1,-1,729431,337133,-1,871794,127476,669038,972001,-1,-1,133143,456537,-1,-1,-1,231244,598953,971093,-1,-1,610526,-1,-1,-1,-1,766715,-1,-1,666606,-1,-1,-1,35044,-1,5613,469223,-1,-1,740305,-1,-1,766695,-1,-1,-1,417315,-1,136260,-1,550389,-1,19578,-1,857073,-1,426380,74556,-1,674080,-1,966194,-1,-1,547864,-1,184897,-1,145174,58033,-1,334183,615136,-1,34832,-1,688071,-1,-1,182535,-1,21687,-1,-1,981527,-1,-1,-1,781222,-1,-1,387778,36717,-1,574043,-1,754131,704541,197259,-1,-1,6429,888558,212941,614523,886397,792664,693836,-1,-1,-1,52600,-1,434619,-1,-1,-1,-1,551240,112395,-1,474632,45719,-1,-1,-1,-1,322643,-1,973198,422727,-1,-1,407193,825595,423033,456625,-1,-1,-1,504707,284350,-1,17478,149052,813651,-1,413990,-1,594774,-1,-1,917930,-1,-1,-1,357138,286766,332819,299456,-1,-1,-1,585404,942173,-1,708166,522745,700232,164094,103345,620963,-1,-1,469843,-1,-1,307617,-1,537918,-1,583985,-1,695872,338703,-1,-1,-1,274539,794736,-1,-1,-1,-1,-1,-1,113335,657118,455676,-1,-1,-1,134661,-1,-1,720410,-1,-1,597300,845331,531966,-1,-1,324938,-1,-1,-1,746726,580038,-1,-1,354945,216766,137679,-1,-1,-1,485485,-1,-1,138036,777916,467444,880410,60733,-1,86861,875800,683301,-1,-1,413916,-1,316906,530811,-1,520226,85182,-1,-1,-1,881785,-1,-1,-1,447369,476544,359094,115854,601139,874390,-1,685563,952333,284020,-1,186242,877351,268151,945192,365216,984102,105056,-1,987011,-1,715379,-1,411782,637368,-1,584208,664638,-1,704716,567914,-1,-1,-1,309595,-1,-1,479396,-1,75193,-1,522822,-1,930456,6804,-1,-1,-1,895672,-1,315412,-1,-1,-1,-1,768721,-1,-1,848263,238317,-1,847159,505739,598656,963376,701710,-1,168808,-1,-1,-1,571056,74480,77958,346090,-1,-1,-1,566757,-1,767820,-1,-1,-1,616288,-1,-1,-1,-1,856271,-1,-1,12547,-1,-1,-1,-1,-1,762507,-1,399020,27565,-1,253717,-1,-1,-1,-1,-1,953234,-1,-1,927576,-1,-1,-1,888647,27573,-1,-1,-1,-1,613072,-1,-1,-1,370705,550673,7899,-1,744075,-1,-1,-1,589619,177579,-1,-1,-1,-1,254537,428014,682335,964793,-1,-1,-1,940909,-1,-1,831009,-1,-1,-1,433084,779831,729121,-1,-1,24000,457266,707367,-1,712234,-1,860462,376524,-1,350102,448022,-1,-1,103653,788681,592966,-1,867796,979114,820773,446954,-1,-1,-1,-1,166560,-1,456219,2373,878564,-1,674754,239398,-1,-1,87011,461282,918703,-1,-1,-1,843372,323356,-1,150647,-1,489686,-1,-1,718451,527234,-1,259038,702155,-1,727077,305662,-1,474229,-1,-1,-1,506516,800309,937283,-1,504343,-1,269428,-1,533436,-1,436291,700940,393188,-1,665784,-1,590934,985953,249407,911254,531463,-1,-1,-1,38426,-1,150834,626270,-1,69255,-1,-1,-1,385991,477516,-1,-1,-1,-1,224766,161534,-1,-1,-1,-1,-1,572062,309868,-1,-1,946700,-1,-1,821044,-1,897352,813574,639213,280420,-1,143812,-1,-1,-1,682538,-1,-1,229288,-1,-1,830263,649065,-1,-1,989587,911715,620417,910059,-1,11634,56429,486080,-1,-1,-1,-1,583584,721095,-1,-1,-1,-1,-1,700682,892574,510033,838105,958967,-1,722721,528759,43586,-1,-1,-1,825463,988295,101754,790896,163758,-1,448108,59960,-1,648054,228319,-1,263504,747090,527443,599528,819545,979741,-1,334697,996688,190056,470156,-1,-1,597124,-1,-1,-1,-1,-1,-1,-1,-1,692046,-1,473991,754973,-1,477189,399338,418282,-1,-1,-1,29871,-1,-1,-1,329242,-1,144886,870383,772718,-1,-1,732735,-1,174453,633504,-1,-1,611848,-1,517954,-1,-1,-1,903003,938768,-1,-1,147671,915715,-1,549028,691098,-1,991846,406846,764058,59079,-1,608078,81747,-1,-1,381517,242967,-1,-1,-1,360771,-1,-1,-1,499937,884525,-1,-1,-1,-1,-1,-1,-1,798899,-1,-1,42106,43105,411807,953311,-1,582447,97580,-1,-1,-1,190540,187297,93550,37000,-1,716171,444784,-1,-1,-1,-1,915386,688541,-1,-1,409650,-1,501654,-1,-1,52894,-1,-1,-1,-1,-1,1282,11591,-1,-1,-1,-1,579437,-1,-1,341979,-1,-1,31562,1820,188998,929022,-1,-1,-1,15269,-1,-1,-1,-1,-1,465401,1257,818198,161457,-1,-1,592827,71261,765874,-1,-1,-1,233146,201411,-1,610853,715187,739695,-1,-1,-1,-1,340656,-1,-1,-1,787293,-1,-1,-1,-1,-1,436452,-1,-1,924526,-1,106289,-1,249811,905539,672826,-1,871277,17373,785530,178460,644041,540234,971529,-1,90161,-1,-1,-1,435659,912367,-1,-1,698106,-1,442885,-1,973206,505163,992123,186058,998998,-1,330605,155312,471408,861900,-1,-1,-1,345274,329846,-1,535748,259395,-1,-1,895047,914638,-1,-1,224010,-1,-1,851228,592055,-1,526093,-1,-1,-1,947396,-1,316143,651281,459743,556490,-1,176591,-1,439207,463629,-1,-1,480242,-1,-1,-1,930852,148293,-1,-1,920312,662108,-1,-1,499776,991425,161407,-1,-1,-1,280297,917247,-1,-1,115773,361468,-1,-1,690400,12761,662030,-1,-1,-1,-1,-1,-1,242464,-1,821555,-1,235561,-1,991573,580872,195752,-1,-1,121887,-1,565713,748629,237576,-1,-1,290734,796188,-1,122295,767634,-1,664601,-1,275072,-1,-1,602178,880712,954562,-1,672278,431055,-1,134287,317231,639876,-1,156434,220409,689550,-1,-1,-1,-1,715219,-1,417112,237480,341955,-1,-1,722873,-1,-1,199566,572464,644279,-1,344077,-1,-1,-1,473441,484211,-1,-1,265572,197911,677598,4097,-1,-1,-1,-1,164792,20528,-1,366501,972548,-1,-1,-1,-1,-1,-1,-1,264952,137843,-1,248550,-1,-1,-1,678312,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,213513,678617,424221,-1,61327,106057,278383,-1,84849,-1,-1,-1,95078,-1,864121,-1,-1,985788,329921,-1,-1,-1,848715,896420,16159,91271,-1,-1,-1,-1,502461,-1,-1,-1,675041,-1,597003,771885,-1,-1,-1,-1,-1,-1,-1,322754,-1,-1,-1,159361,-1,-1,534022,-1,341402,-1,768873,895978,-1,240046,608216,276680,-1,1502,-1,785972,148445,-1,515829,-1,-1,-1,-1,11751,668480,538863,348600,199507,195221,-1,-1,-1,997716,515773,779449,-1,-1,498000,337374,-1,-1,-1,-1,-1,-1,-1,-1,862384,-1,667951,26441,-1,509888,718999,695190,889310,711318,-1,427042,-1,48732,771519,-1,790365,-1,323126,-1,-1,346664,601507,-1,-1,58732,-1,-1,544312,710315,-1,-1,559709,-1,659129,556851,-1,208604,473229,-1,-1,-1,458714,-1,-1,531893,-1,234009,919799,45764,494053,860349,-1,-1,834977,938763,-1,19327,4322,-1,-1,781210,-1,-1,-1,544275,109301,-1,-1,599257,-1,693479,396600,-1,113106,-1,20803,906970,139141,-1,-1,280014,39579,439498,535854,223611,494886,-1,610034,834779,-1,-1,-1,-1,171910,968343,850675,884209,-1,550535,62815,17709,41496,-1,-1,908905,-1,-1,179362,-1,356360,104434,25120,-1,-1,378898,-1,-1,-1,-1,-1,-1,-1,-1,573972,16535,996820,643790,-1,933586,951598,921793,-1,-1,-1,-1,223058,106819,212854,-1,375596,-1,400748,143995,406413,556491,486399,405176,-1,739905,-1,-1,530298,-1,-1,-1,415461,-1,-1,37403,777238,909986,406892,471383,739587,-1,-1,-1,-1,-1,-1,-1,-1,675450,573598,640688,744973,-1,649573,-1,187970,814550,-1,-1,-1,868079,-1,-1,-1,-1,-1,393481,231953,1450,-1,53262,-1,180539,-1,464615,731546,98046,168780,639761,734179,-1,-1,842074,-1,890917,-1,-1,569105,669730,-1,-1,354050,171307,605087,-1,330615,899026,-1,-1,352328,-1,315801,-1,326580,72899,4565,-1,-1,460019,-1,389173,881916,382394,92748,389122,-1,-1,125461,699712,991615,178900,483011,449497,-1,124860,648709,562183,881369,-1,-1,426672,-1,317607,-1,-1,-1,-1,203215,81859,677722,806218,-1,-1,-1,-1,51135,-1,-1,947666,-1,-1,115956,858945,241188,379403,843624,-1,-1,919665,508830,938480,505216,160209,364748,764422,258418,-1,-1,-1,-1,438559,288012,566913,568907,665728,-1,-1,-1,-1,-1,151119,947336,193125,-1,-1,-1,-1,460263,772708,-1,611355,-1,-1,353740,-1,-1,244362,546152,827244,104065,332733,941248,-1,470010,260391,-1,-1,524341,-1,-1,-1,-1,-1,52220,-1,-1,-1,443959,401386,27035,-1,776871,707824,710255,-1,-1,-1,138299,577170,-1,-1,-1,-1,-1,155753,47775,-1,-1,-1,-1,-1,320527,-1,187974,-1,-1,-1,683787,516208,-1,-1,-1,791828,-1,-1,729045,225751,-1,47097,-1,729220,206760,662277,440520,973653,-1,-1,-1,708218,425144,-1,157868,937548,-1,777,679190,318571,229565,-1,183711,-1,-1,336703,925475,-1,151972,-1,-1,458635,-1,557515,-1,391246,121367,998805,-1,339298,988565,514798,-1,149954,633862,300183,-1,-1,58390,-1,661826,368093,378193,-1,276802,921996,719084,-1,-1,-1,-1,-1,-1,-1,-1,829969,480091,420987,-1,56875,465558,-1,-1,-1,-1,-1,-1,981866,97642,438901,64616,616670,-1,-1,-1,917142,-1,743105,-1,-1,-1,766366,250180,241011,142121,69010,-1,-1,680363,-1,-1,906266,-1,463800,-1,-1,998604,-1,6030,908622,-1,-1,-1,-1,130969,826117,-1,-1,-1,424591,-1,-1,-1,-1,-1,-1,703803,937400,-1,-1,742196,-1,-1,763948,-1,256375,-1,-1,483829,-1,-1,-1,-1,805232,327204,140443,822297,-1,-1,751724,118714,678538,294967,164646,130986,460304,-1,850661,976105,475270,662269,-1,269091,746129,873825,376517,48512,-1,680728,553277,486578,-1,506189,624105,-1,-1,-1,992430,826416,701938,-1,797470,-1,-1,986839,887220,532712,-1,-1,732595,306518,-1,-1,81645,-1,-1,494660,-1,-1,622134,806838,-1,850625,-1,-1,-1,-1,-1,-1,-1,993391,-1,103920,788061,939421,978932,713930,-1,-1,-1,-1,-1,-1,-1,467722,938130,781056,576279,-1,615154,812674,-1,864514,-1,-1,-1,818313,847383,147483,-1,-1,659318,579986,864026,-1,-1,268253,-1,444251,678147,-1,553468,-1,-1,-1,-1,389048,-1,-1,-1,117090,509963,-1,824865,18595,433306,384189,74433,495121,23534,-1,-1,-1,-1,-1,563526,-1,-1,-1,222511,433822,-1,217363,499570,-1,-1,-1,-1,-1,718279,-1,-1,-1,817579,678185,314920,-1,-1,620702,-1,-1,-1,480241,424126,-1,643735,-1,123445,590679,876697,892811,629507,-1,-1,454245,-1,-1,553450,166805,600180,-1,-1,847790,-1,-1,-1,331181,-1,-1,-1,852476,-1,498872,-1,-1,-1,132578,-1,953192,876044,99836,-1,99360,694765,-1,-1,441288,-1,943540,-1,-1,-1,255953,597318,233974,-1,-1,128764,694192,-1,-1,236180,457218,-1,213170,835312,-1,-1,-1,113628,-1,411442,787883,-1,709408,587019,-1,-1,-1,-1,395215,-1,329174,-1,810821,885818,-1,-1,-1,916823,804904,-1,-1,-1,535127,-1,-1,10504,828661,781401,-1,957646,359468,835420,-1,427892,-1,904062,-1,-1,-1,521372,-1,-1,-1,185084,-1,839252,715177,55754,578605,171866,-1,-1,114218,-1,432597,702901,-1,214979,916504,-1,524411,-1,-1,-1,29727,-1,-1,767565,358366,257546,-1,-1,293743,635472,239913,-1,-1,-1,3309,-1,-1,479497,699881,-1,644672,-1,-1,380558,699187,-1,-1,451754,64174,863624,163663,879330,-1,-1,-1,256378,100030,-1,-1,829504,34547,-1,-1,578967,832142,836912,280165,935429,-1,-1,780459,958272,883546,931989,-1,543710,-1,543531,-1,932524,917184,-1,-1,-1,419802,-1,608443,277516,-1,148787,681613,-1,-1,-1,-1,-1,377457,-1,-1,49542,-1,57215,-1,-1,-1,-1,44745,552036,-1,-1,229343,-1,-1,433236,622411,693772,-1,110673,64184,379663,821226,-1,769440,986140,-1,428856,-1,-1,792034,374649,-1,67601,-1,796159,-1,-1,-1,-1,-1,215608,-1,-1,-1,-1,53925,-1,-1,292860,-1,843677,-1,318555,-1,-1,237946,-1,-1,-1,670579,393419,966364,-1,-1,899836,-1,210115,106179,-1,-1,-1,120378,-1,-1,944913,-1,-1,-1,-1,-1,-1,-1,652699,-1,403681,658492,861721,-1,-1,82260,-1,-1,949587,195355,-1,-1,658129,457808,-1,-1,93014,621670,-1,-1,122488,889165,-1,-1,18881,-1,-1,79520,57312,201508,-1,-1,-1,191582,-1,36563,-1,846274,-1,-1,483346,-1,-1,-1,-1,512185,694607,537965,-1,122581,-1,-1,-1,73097,619532,728754,-1,598027,-1,-1,-1,-1,128475,721879,436506,41066,223404,119502,593698,-1,-1,-1,-1,-1,-1,-1,873979,-1,-1,172333,-1,651320,-1,416981,-1,-1,-1,-1,487503,-1,-1,-1,933675,594346,-1,51899,-1,556739,-1,-1,-1,-1,452188,181970,681420,748536,-1,34789,464370,709552,180384,499949,626245,-1,848785,-1,-1,117944,649870,-1,839270,563972,17447,-1,-1,-1,-1,-1,463403,-1,990026,56526,-1,-1,319896,-1,232613,-1,958862,-1,878082,-1,209514,960083,405326,233390,488139,859997,277461,-1,-1,-1,-1,464614,-1,721425,-1,449312,-1,-1,312232,606622,-1,386669,-1,-1,-1,-1,-1,570654,-1,55348,433480,261999,454918,919489,954036,446583,-1,-1,-1,398826,-1,541963,-1,-1,430443,638060,35986,44110,-1,56228,648744,-1,323757,-1,-1,-1,-1,371344,-1,93185,-1,-1,-1,704987,984260,747150,-1,953237,433857,-1,-1,-1,962991,481061,32082,-1,-1,-1,-1,-1,437921,-1,376969,-1,-1,-1,299673,-1,342393,749960,649225,-1,568541,-1,392323,-1,-1,645625,268294,714437,452668,557383,609720,755219,740769,902885,496868,-1,-1,-1,850807,633692,-1,-1,439484,-1,683910,766408,631703,-1,-1,-1,345505,-1,-1,849974,251958,-1,417340,-1,-1,40384,824808,-1,-1,83105,-1,-1,-1,292539,-1,-1,648013,144866,-1,117735,-1,297915,-1,358329,71803,859542,198145,-1,897111,491837,904042,649330,-1,974787,634780,-1,724667,35054,-1,507891,-1,-1,887454,-1,-1,-1,-1,49129,339865,275066,22099,180092,-1,-1,-1,-1,-1,954523,-1,9045,-1,467617,-1,-1,-1,441096,-1,594396,-1,-1,-1,-1,-1,-1,-1,-1,156916,-1,-1,532315,642342,-1,-1,535893,619080,-1,587608,427097,166916,-1,126502,839755,-1,-1,-1,-1,-1,-1,-1,415100,456992,-1,669339,612381,-1,154672,-1,322258,299246,-1,-1,580504,781915,-1,833778,-1,-1,-1,-1,666,-1,-1,349634,-1,495204,666046,282554,-1,38916,-1,592101,-1,687195,435395,32321,858296,325461,-1,-1,930681,828914,105331,271459,-1,641287,642711,-1,-1,-1,923616,-1,50211,-1,379907,84463,-1,-1,115056,539620,-1,-1,933535,47456,-1,679738,-1,625401,902214,495196,-1,817034,-1,-1,155093,-1,225524,-1,548025,-1,-1,910735,248004,-1,-1,-1,76447,343793,-1,211174,-1,720011,-1,-1,-1,-1,-1,-1,742822,55777,-1,534065,-1,395770,-1,-1,-1,-1,-1,163347,-1,-1,949557,456619,830848,777705,24518,-1,606237,-1,-1,-1,-1,423519,-1,975653,930020,549350,-1,112080,559155,152631,-1,-1,-1,-1,667831,-1,382351,93715,-1,-1,-1,923793,711100,-1,37891,-1,142987,388535,-1,258865,815290,-1,-1,-1,-1,-1,726695,-1,101520,-1,-1,337201,244242,-1,87929,-1,325029,-1,-1,-1,366606,-1,-1,-1,60394,-1,-1,643305,-1,188719,-1,569673,174042,130724,-1,-1,-1,-1,-1,32673,-1,-1,-1,21062,-1,770968,397321,-1,335878,390737,-1,-1,-1,-1,-1,278888,-1,-1,-1,-1,710486,-1,-1,81116,-1,467256,291882,780559,-1,769709,461256,368030,302541,-1,55978,763340,-1,795941,70005,-1,-1,258655,634553,277026,63903,-1,-1,230573,746489,985801,-1,37265,-1,-1,351617,655213,-1,755821,870664,-1,-1,571747,-1,668504,-1,-1,446281,-1,557054,-1,-1,-1,877483,-1,523861,-1,-1,984908,456654,717670,-1,-1,821566,234194,334612,650252,-1,479940,-1,610392,668004,-1,-1,-1,401364,717153,832852,-1,-1,-1,-1,193081,-1,27967,474538,566681,235273,-1,734498,624827,439867,508273,-1,-1,-1,671110,-1,-1,12517,292820,-1,119730,334440,-1,349624,-1,358814,-1,-1,268864,-1,620971,-1,-1,-1,241928,-1,-1,-1,359186,-1,-1,-1,156332,773634,315252,6820,300499,-1,563911,868925,-1,-1,-1,350303,-1,132841,-1,15776,-1,-1,-1,183607,871768,376471,598110,-1,-1,-1,-1,-1,-1,334891,-1,933795,75870,713039,723432,626400,672116,309705,985318,-1,-1,307563,-1,-1,-1,805638,-1,-1,-1,795781,261580,664910,-1,695702,-1,-1,339245,-1,267532,2828,-1,-1,864278,584988,350116,-1,-1,-1,680244,181128,735119,-1,564635,266750,-1,-1,-1,435618,-1,388839,961273,485695,775757,460776,493596,31784,199122,-1,381592,979455,91260,-1,-1,839351,-1,-1,-1,315549,721956,529824,649302,-1,-1,-1,62968,14528,-1,253141,-1,753459,583159,291353,930820,-1,-1,731911,-1,-1,-1,937903,238470,-1,-1,-1,126885,-1,-1,-1,301603,810143,-1,254693,864028,884423,659913,972438,775138,-1,867139,-1,-1,899361,-1,152371,485406,-1,-1,199255,431905,-1,-1,-1,910636,-1,-1,-1,-1,585736,513788,-1,260633,729973,-1,773376,-1,-1,-1,-1,-1,-1,263130,649218,-1,-1,961861,944575,-1,248060,-1,-1,-1,823189,597290,-1,815992,-1,668796,940030,-1,161270,610539,-1,-1,408825,-1,71252,511226,81252,-1,-1,-1,460381,471031,990365,-1,-1,193929,-1,286283,493948,819646,578053,423712,146278,-1,-1,-1,782580,181175,634314,-1,219641,156959,-1,-1,-1,486036,-1,-1,113656,-1,-1,-1,751574,618543,-1,-1,954371,-1,-1,367293,-1,-1,969772,61222,967650,494415,-1,-1,-1,-1,-1,-1,-1,-1,811670,-1,203946,161053,446536,-1,268411,-1,979985,-1,-1,617004,807144,-1,-1,269977,-1,-1,-1,735569,677585,72983,542322,405307,-1,-1,475852,-1,-1,322644,693603,116140,-1,87355,-1,-1,-1,165695,-1,919138,724865,299185,39110,-1,31758,254251,-1,525000,-1,207536,-1,-1,586260,-1,-1,-1,-1,604762,943853,19949,165508,-1,-1,691777,1494,-1,18013,724612,-1,-1,273688,-1,55338,603290,830475,-1,-1,-1,688688,-1,804767,-1,-1,-1,289569,-1,-1,235965,-1,85738,-1,-1,-1,-1,499259,-1,76133,655743,-1,-1,-1,-1,-1,-1,357834,307117,-1,-1,745221,877059,823134,871723,-1,533756,-1,416688,-1,415954,465108,698782,40599,-1,-1,-1,967872,-1,-1,-1,427317,-1,179521,-1,330071,-1,-1,-1,710352,158820,594423,429246,-1,-1,-1,609084,406419,809100,333873,-1,568410,-1,371198,-1,700588,393198,-1,606804,720935,686987,-1,733324,794958,-1,-1,-1,548296,709431,397212,748754,29626,524309,987160,218420,-1,532804,-1,319504,229884,910509,354893,395431,-1,-1,661378,-1,-1,181230,28206,-1,-1,282130,-1,44387,768563,-1,190240,-1,-1,449929,-1,-1,-1,188484,-1,-1,987588,-1,-1,-1,818440,172479,681906,-1,-1,588921,360516,-1,-1,112492,293456,-1,195250,-1,996595,-1,-1,533610,-1,-1,884164,-1,850712,-1,-1,-1,195248,-1,490497,306659,-1,-1,89259,952406,-1,73071,-1,-1,482235,-1,247114,145063,-1,259751,-1,110538,-1,-1,-1,24853,-1,-1,413203,-1,490050,-1,-1,357713,791028,745000,765406,815192,-1,989793,722332,-1,906476,-1,303510,522795,837802,-1,-1,-1,-1,475611,-1,675094,379416,189952,-1,-1,-1,548915,263259,-1,-1,-1,-1,788193,-1,-1,-1,455232,-1,-1,-1,258753,846791,-1,-1,283882,896910,566052,-1,731402,-1,-1,-1,-1,715247,673530,590432,157163,-1,313472,-1,883939,91965,954749,360166,552235,400929,-1,-1,230982,431179,325774,-1,805728,733692,303226,-1,-1,585896,-1,74103,-1,475297,-1,5892,804510,-1,88265,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,907237,-1,-1,925732,-1,265290,684647,-1,-1,-1,-1,-1,-1,409714,166748,90403,81628,652733,916950,364154,92686,915692,-1,-1,-1,-1,-1,-1,227203,545233,58881,-1,22526,-1,495154,754667,709994,77795,77144,149874,443471,-1,224450,-1,-1,-1,-1,33313,-1,-1,-1,396330,-1,435704,896739,437069,254220,-1,184453,523162,69412,-1,-1,-1,-1,-1,662179,161768,-1,73569,-1,281347,770500,-1,-1,236803,217405,-1,264091,-1,-1,134907,529525,953197,449404,771950,448948,-1,-1,628644,34084,754297,879821,-1,-1,929287,-1,389214,361582,222841,519474,371824,884054,-1,157875,-1,920825,476208,-1,-1,497200,-1,-1,-1,29840,663288,158775,-1,971541,-1,-1,392530,-1,77684,503295,419674,537297,-1,-1,578912,72340,119147,155252,62846,-1,-1,781641,-1,-1,224277,-1,-1,530513,896696,117581,793882,199583,-1,-1,863797,755993,-1,-1,-1,170235,-1,-1,654177,-1,905607,-1,-1,-1,-1,-1,-1,-1,383581,89365,307797,241379,-1,-1,-1,618368,-1,-1,105420,-1,-1,-1,-1,267939,443897,-1,442569,656091,225733,510994,209284,630453,-1,813342,-1,-1,407104,-1,410928,-1,-1,-1,549703,-1,-1,490530,-1,-1,-1,143000,833855,-1,-1,-1,379307,-1,-1,-1,290484,636777,-1,208092,-1,-1,785533,368982,-1,737894,-1,-1,753315,-1,691027,-1,480137,334232,153854,494122,-1,645046,-1,-1,645734,403010,653559,-1,-1,-1,-1,451568,-1,-1,317716,630446,-1,267294,323712,-1,-1,341744,-1,-1,-1,427598,-1,-1,770844,630842,-1,895632,326080,-1,-1,-1,-1,359839,215282,214214,973788,-1,-1,-1,528399,-1,-1,-1,-1,82726,97353,435911,101895,448290,-1,-1,664705,-1,849380,366279,805744,-1,-1,910714,739464,-1,-1,-1,-1,968899,538999,875104,365715,116889,773030,-1,-1,267571,150995,-1,78963,-1,778975,810579,-1,249118,-1,-1,-1,838004,-1,481218,-1,854188,26718,-1,581009,-1,75974,132469,42099,926575,96608,801953,-1,162577,-1,-1,177336,817307,452643,394517,244448,-1,-1,637733,-1,-1,-1,619784,352924,625945,895529,27314,912975,385138,-1,-1,-1,568847,-1,288274,-1,516210,-1,-1,-1,853313,-1,-1,-1,-1,613562,-1,575398,781518,845776,82108,385902,236653,396389,-1,298653,873840,-1,485383,38808,-1,-1,-1,-1,-1,-1,924860,-1,398590,-1,676467,-1,106322,-1,-1,-1,28726,-1,937714,-1,33099,-1,211128,-1,72665,818607,-1,-1,661439,-1,-1,768336,950516,695948,385078,209127,-1,444313,-1,264519,203537,123615,665486,785844,-1,-1,146145,-1,34524,-1,860263,950709,855155,-1,71733,-1,-1,-1,457727,-1,-1,954464,450748,-1,172099,753412,512745,631730,-1,-1,-1,729559,987245,-1,72095,-1,14914,456346,-1,-1,-1,-1,-1,-1,993916,723708,582504,356708,305162,-1,-1,-1,-1,-1,269243,-1,754081,708798,692420,183384,-1,-1,940293,-1,-1,-1,-1,-1,471760,-1,52771,227436,719342,-1,616007,900142,48449,-1,228934,-1,-1,-1,880483,747648,-1,437249,-1,-1,-1,658630,-1,374336,-1,479182,-1,739162,9362,-1,-1,326496,686822,-1,886364,-1,405585,-1,-1,576443,-1,-1,616492,-1,-1,107636,-1,-1,-1,960132,-1,798904,858015,368117,227218,821611,-1,713536,-1,928815,884296,-1,865796,-1,-1,-1,-1,713608,375471,-1,-1,839020,777626,752958,686145,-1,-1,-1,654031,-1,-1,55189,974654,-1,859115,409272,-1,-1,-1,162342,-1,796618,-1,922290,-1,54469,-1,90705,-1,620679,792318,-1,446470,-1,-1,-1,-1,-1,-1,510827,-1,-1,-1,-1,-1,46853,-1,264382,-1,945339,-1,853680,-1,244670,732317,539873,-1,-1,-1,759403,978701,-1,-1,443405,8926,47744,-1,-1,447494,-1,-1,-1,123835,198291,973529,-1,-1,-1,758588,202444,177454,237856,-1,-1,-1,863207,-1,-1,138097,547948,-1,-1,987794,227194,-1,-1,-1,632401,407568,-1,-1,151943,71667,-1,142849,901446,-1,-1,6039,-1,214118,179920,261356,-1,-1,-1,931463,715214,-1,-1,749964,-1,-1,-1,434286,-1,844918,-1,63249,-1,539137,-1,-1,583494,198222,89694,-1,424476,-1,-1,859629,-1,-1,99064,-1,605166,662673,-1,44038,-1,-1,64152,-1,353172,967489,-1,-1,177583,459066,710318,285522,-1,405749,-1,393281,-1,786319,469104,726897,164456,730372,146382,407752,-1,521432,489997,-1,-1,-1,-1,-1,-1,-1,-1,-1,426090,-1,571892,-1,907708,960439,709382,-1,-1,-1,-1,416102,932408,865821,-1,-1,978057,-1,-1,-1,87659,336037,334890,74527,74830,844377,706219,-1,912153,-1,-1,-1,378811,-1,861762,-1,796185,371602,464920,-1,830809,-1,-1,651827,122181,399085,325874,-1,-1,724631,721771,660641,-1,444356,-1,-1,284218,17077,-1,390629,-1,-1,113846,-1,195412,-1,252297,793400,539956,-1,992800,287585,-1,-1,-1,-1,870116,-1,347781,-1,-1,139761,-1,790610,96342,595068,-1,-1,-1,-1,-1,735778,819751,-1,-1,504353,-1,462341,171251,-1,-1,627754,-1,482570,445211,900651,440091,84880,-1,-1,290124,352557,-1,104566,-1,433485,-1,-1,125623,-1,-1,-1,-1,214863,-1,561761,-1,113403,-1,-1,345476,197548,608418,462504,364444,63432,-1,2501,775333,-1,396133,-1,-1,-1,163518,38664,-1,-1,-1,219217,446494,-1,-1,976617,214753,95523,-1,693548,113340,-1,-1,-1,633551,-1,751299,50135,428598,135025,306082,-1,11215,-1,-1,648477,453243,-1,-1,-1,-1,330027,-1,-1,178330,-1,802897,-1,85404,124067,157959,-1,-1,-1,-1,-1,120360,609273,258801,130064,-1,-1,-1,372894,-1,-1,-1,-1,-1,-1,-1,295176,78506,-1,-1,302143,205081,-1,887729,-1,48041,-1,-1,797770,-1,-1,-1,479434,-1,967169,408059,638809,-1,119986,-1,-1,190237,718439,384721,-1,15331,-1,-1,-1,-1,596534,554427,173784,-1,191722,-1,-1,-1,592916,-1,736235,785021,-1,-1,375175,362001,749453,959633,-1,76970,593349,-1,-1,414830,886271,6219,-1,155158,-1,-1,550555,605037,833825,-1,-1,-1,209522,-1,-1,-1,-1,42505,438834,-1,-1,-1,-1,728251,600325,708189,651834,-1,235723,-1,157413,-1,-1,-1,13923,649213,543943,488163,-1,-1,574568,133129,-1,60848,820748,980656,374810,952432,518571,471634,-1,169703,-1,510863,-1,-1,-1,-1,782575,650624,916649,-1,-1,-1,190020,-1,837513,-1,821830,-1,701608,-1,366563,-1,-1,222765,530962,401262,-1,-1,-1,743180,-1,-1,732270,995936,-1,-1,-1,640684,125155,495625,674880,-1,-1,10125,496895,-1,142454,-1,-1,-1,195376,-1,-1,883945,499813,-1,451277,198422,-1,321153,561910,218695,-1,-1,-1,439039,-1,-1,-1,897944,-1,-1,-1,270776,160767,-1,169863,953546,-1,337375,-1,932027,-1,168095,57551,303649,-1,930692,-1,255854,913610,-1,613179,-1,566617,-1,534333,508607,-1,263845,997319,-1,-1,927379,106934,927444,-1,-1,-1,954368,303124,-1,741715,-1,55199,-1,391901,-1,-1,736763,-1,-1,938975,-1,87540,756515,-1,-1,661218,-1,338046,529245,440867,39669,-1,975045,986194,-1,930906,649717,172853,-1,521699,228439,-1,-1,-1,22887,535864,-1,-1,207720,-1,-1,215016,568055,-1,-1,-1,-1,248251,888538,288028,-1,-1,167186,797613,450605,-1,523059,572558,-1,889482,731453,-1,120653,-1,-1,-1,-1,428286,148174,-1,-1,745798,-1,-1,-1,756058,-1,-1,-1,923190,-1,248485,625468,789639,735649,-1,892301,-1,294425,-1,565408,921438,380875,-1,394097,-1,-1,-1,668372,843672,528514,-1,-1,892493,790223,281344,672659,-1,163229,526105,642976,-1,445082,-1,-1,965390,-1,846114,-1,984730,-1,749741,791491,396176,409258,-1,615946,-1,-1,561432,670403,-1,-1,59506,570740,617082,-1,-1,237661,-1,467255,-1,799649,70683,-1,-1,901310,767947,-1,245613,-1,356883,-1,63945,-1,-1,-1,774149,-1,-1,725808,60646,933571,890746,-1,740519,-1,-1,787485,-1,27067,-1,-1,810162,-1,-1,444896,47702,-1,-1,-1,-1,-1,367008,686541,559661,158887,-1,-1,-1,-1,-1,127686,-1,-1,-1,958668,268449,-1,210281,186369,584563,-1,899462,954455,105416,22140,-1,265250,-1,-1,422814,-1,678275,634034,-1,-1,-1,882634,603645,-1,252627,-1,-1,937533,-1,28018,-1,-1,276146,-1,-1,998529,739922,754107,909754,773214,799021,288762,-1,965834,-1,488211,-1,-1,-1,237620,-1,-1,-1,-1,-1,832938,-1,-1,595096,493994,-1,-1,-1,-1,-1,-1,-1,77060,-1,-1,-1,-1,188157,853732,616673,-1,12841,138971,157722,-1,-1,743410,759925,787304,-1,-1,-1,452267,-1,308632,-1,-1,-1,104963,-1,68692,-1,-1,-1,528994,842577,545292,-1,298069,-1,-1,-1,50125,92241,-1,572899,-1,-1,591989,-1,705676,-1,-1,37296,467222,823953,-1,980727,-1,-1,662775,572825,43839,-1,818744,-1,-1,88020,669662,55503,102339,-1,-1,-1,-1,-1,517502,-1,-1,228158,-1,-1,261620,-1,598322,-1,-1,464572,-1,-1,690257,-1,-1,357748,-1,578909,-1,150184,878249,207574,-1,636528,711715,234053,398789,-1,964242,-1,956365,-1,-1,-1,560552,-1,-1,-1,133371,-1,-1,143253,-1,180898,-1,-1,-1,886301,556423,820471,700839,292438,322984,593168,-1,692999,263601,-1,256501,-1,-1,22712,293486,-1,682737,-1,966070,609757,-1,-1,13876,-1,752862,225489,-1,-1,323960,-1,336825,-1,475870,-1,-1,-1,-1,-1,913872,499553,611580,343353,-1,248292,581527,844678,-1,481536,292330,206858,103496,313354,-1,805314,967117,-1,-1,428612,-1,172413,-1,-1,-1,-1,-1,-1,655649,-1,-1,-1,418257,856999,-1,-1,-1,-1,-1,-1,904015,-1,-1,990344,621998,-1,341334,460027,-1,-1,49703,421589,912066,453053,-1,-1,756144,35649,768983,864385,227937,-1,875308,-1,92302,-1,-1,-1,394697,-1,679972,-1,91496,-1,-1,380239,-1,514368,-1,969155,463146,-1,546559,385121,209705,-1,700770,-1,768184,49392,-1,357255,-1,537393,-1,845090,-1,770201,-1,994311,-1,715589,-1,510312,-1,14411,-1,-1,699918,629355,212615,206384,882084,724083,-1,957216,933314,161946,629008,-1,-1,-1,-1,-1,912418,-1,312346,234854,-1,-1,-1,-1,263525,954044,190528,253957,-1,-1,382386,-1,852653,-1,652748,194971,422096,180958,-1,-1,128241,643047,-1,-1,-1,-1,789710,570527,990821,-1,-1,970851,609005,640511,-1,-1,-1,-1,537379,-1,109807,449708,-1,-1,-1,406236,-1,862698,351510,-1,-1,-1,978738,359447,452732,-1,10630,-1,621088,-1,349312,518093,-1,-1,-1,13159,277009,-1,-1,-1,-1,810018,49409,-1,-1,920859,-1,-1,385243,-1,706291,283284,983166,10631,-1,-1,-1,-1,350508,-1,-1,85252,-1,-1,516774,-1,278072,-1,-1,-1,-1,608787,-1,131281,232782,-1,769354,245670,-1,150578,501141,960399,35683,-1,-1,-1,259667,814036,-1,-1,984449,944019,-1,-1,772043,549295,-1,-1,-1,67917,947299,13220,24660,200881,-1,209356,889200,445823,551992,258350,-1,74753,411298,818190,511257,403692,58588,324099,494357,-1,130324,-1,-1,462519,-1,381619,361737,-1,767153,-1,741453,412929,487484,867434,-1,-1,-1,202554,-1,477640,237003,-1,671247,-1,330394,629708,-1,310053,-1,-1,926475,589734,-1,407108,116526,-1,-1,-1,149116,742839,-1,-1,121108,816707,-1,258779,-1,843294,700689,222577,-1,436077,56353,-1,-1,-1,-1,814716,-1,-1,914622,205587,-1,252877,-1,57976,227923,983610,328407,-1,-1,-1,-1,168577,-1,-1,776355,464629,-1,932057,-1,-1,-1,281291,323619,-1,761422,514143,-1,-1,-1,-1,-1,756584,25309,13895,583462,-1,721413,-1,730261,965469,-1,731427,725514,-1,-1,188084,595430,770606,-1,54773,844468,140050,225831,-1,-1,903263,50793,457113,-1,161928,-1,-1,640686,957176,611099,-1,799125,303364,577105,-1,279066,722310,-1,-1,521460,778500,27501,345431,89371,-1,-1,-1,-1,-1,-1,-1,-1,775106,-1,133333,-1,-1,948086,424136,427758,675738,-1,-1,-1,-1,602382,-1,968636,584688,-1,-1,49763,944046,451250,-1,-1,-1,-1,-1,-1,-1,-1,902026,646404,-1,962768,-1,79368,669228,-1,-1,-1,466721,657540,-1,415477,-1,-1,-1,-1,181178,-1,-1,763705,-1,-1,406880,879783,-1,-1,-1,-1,-1,585878,-1,-1,-1,222681,85264,870789,340159,115008,-1,743158,-1,952215,958042,159873,-1,899267,-1,448546,961829,-1,-1,-1,-1,-1,-1,-1,775305,-1,48250,846703,199558,-1,163895,-1,728253,432075,-1,-1,-1,872536,139156,-1,857674,572609,-1,-1,354086,-1,-1,-1,-1,994043,532916,-1,676187,942793,-1,-1,-1,-1,-1,361942,-1,-1,394477,-1,117138,-1,-1,-1,-1,961435,82429,-1,29834,-1,23490,-1,-1,-1,541596,-1,692676,98663,-1,14642,402975,-1,678366,-1,783021,251696,-1,581967,327491,695185,249470,600632,9614,-1,-1,610140,-1,-1,32689,-1,975933,556944,-1,-1,975190,-1,-1,-1,-1,26689,-1,-1,168476,338792,76616,330364,-1,398842,58225,515041,-1,-1,258264,106250,161402,363041,29094,67249,-1,-1,783892,294822,53517,981954,-1,526755,-1,-1,720890,-1,416866,71627,402244,488346,-1,274211,-1,-1,733456,-1,-1,-1,-1,-1,-1,150963,134256,-1,231507,-1,774185,-1,-1,171257,-1,-1,707268,473986,-1,204338,568246,-1,623297,-1,-1,975149,-1,975826,-1,-1,-1,242392,-1,87704,811954,-1,242813,-1,-1,18016,973369,-1,741379,-1,-1,196375,730362,123715,-1,119133,-1,-1,-1,-1,34048,871584,19197,482025,827682,-1,-1,777488,-1,-1,-1,-1,-1,-1,729360,28935,830408,309988,298249,550296,298075,937912,29365,782974,276601,-1,-1,799241,-1,602759,55470,-1,140355,620264,-1,639820,579533,146436,542237,283894,-1,-1,-1,102069,-1,533552,-1,442316,-1,-1,530835,771837,-1,-1,27427,-1,923373,697138,-1,956021,-1,7547,168829,99967,693399,460097,-1,898616,-1,399600,-1,826705,800399,243699,993155,798252,-1,-1,-1,-1,-1,174562,697375,105079,905315,98731,-1,70109,117430,-1,-1,478334,-1,377307,-1,-1,-1,248901,868682,-1,604950,638754,-1,141017,436450,812909,-1,165354,517890,299488,-1,588823,-1,-1,15661,280895,500785,-1,657448,-1,921499,-1,598515,-1,247046,-1,2214,94437,-1,848674,977549,916530,10806,-1,682891,-1,940908,486393,190416,-1,-1,430809,599496,-1,-1,120795,-1,834752,418740,-1,432776,-1,-1,248299,-1,88973,423737,389114,819158,-1,321315,410068,-1,607520,723533,431727,55393,-1,537694,608317,909234,-1,-1,273272,-1,743074,457175,470567,521772,162777,-1,-1,295074,-1,868506,12474,353454,-1,-1,918768,309218,853627,151740,509102,-1,564848,-1,918754,572199,-1,-1,-1,787726,-1,-1,626645,92807,-1,713960,-1,366481,-1,-1,-1,19386,609711,882009,804309,45804,198841,-1,699137,-1,-1,126884,-1,-1,288640,600705,242270,599503,-1,828109,865646,-1,579783,642959,-1,321256,-1,698919,-1,417301,-1,948296,-1,-1,-1,643002,-1,156375,-1,965349,-1,-1,-1,77818,-1,-1,272747,561416,-1,102670,-1,-1,433000,357500,668179,-1,-1,626674,-1,301033,718438,78479,685361,488541,-1,-1,-1,86510,29863,-1,2807,-1,-1,311106,-1,970170,-1,646250,-1,482972,467859,896574,346643,451236,997607,916416,918047,41331,-1,501585,-1,-1,-1,-1,933882,600260,-1,805620,782843,852447,209047,-1,397989,-1,444995,-1,-1,-1,-1,612279,-1,-1,995659,395598,297935,51526,-1,547013,247812,-1,235060,-1,-1,273097,827836,867941,90443,48678,340388,-1,60514,759258,-1,-1,-1,-1,-1,278143,-1,-1,736167,-1,271302,594498,781322,-1,-1,396808,972382,138633,827901,869610,-1,-1,262482,-1,419724,221126,-1,-1,-1,75804,442898,164501,909772,598599,366255,630791,64845,-1,-1,-1,-1,-1,-1,582571,205525,137087,779466,-1,344416,106223,846809,843783,-1,-1,766275,-1,604508,-1,899180,-1,-1,-1,664280,847758,358570,311115,-1,394942,-1,-1,-1,-1,-1,-1,40105,52568,-1,684700,-1,942337,-1,-1,335474,-1,456263,476979,-1,-1,-1,-1,849002,-1,-1,875869,122055,151140,-1,-1,-1,-1,-1,-1,250409,586057,-1,953360,-1,610308,-1,810393,215510,-1,710986,747497,393412,559328,78532,-1,708413,-1,373815,337368,-1,-1,875242,831594,378519,452087,-1,-1,737982,-1,-1,-1,-1,485538,-1,664562,-1,-1,660489,-1,-1,573324,-1,-1,887376,-1,198354,872360,-1,-1,896278,-1,-1,-1,-1,-1,-1,807412,466127,-1,801548,-1,-1,-1,-1,202461,414111,-1,-1,-1,760418,-1,-1,947973,-1,-1,327483,662562,-1,-1,309186,891128,723869,-1,169921,989033,57375,-1,844487,-1,-1,-1,994338,-1,176382,656412,-1,508696,10503,-1,-1,797184,-1,-1,-1,838923,777896,-1,-1,-1,21117,161338,213713,970053,647986,-1,903466,-1,-1,-1,-1,-1,717015,922779,-1,-1,613627,276751,281540,-1,714501,-1,-1,440689,-1,-1,-1,-1,-1,149848,969858,-1,591902,-1,-1,745997,62483,-1,944213,237369,936515,-1,768905,859099,561209,48598,-1,619200,-1,606445,583698,-1,878795,-1,-1,17428,-1,-1,-1,718649,186319,-1,-1,99553,-1,758609,-1,-1,194996,927590,-1,-1,-1,-1,-1,28757,636567,-1,-1,201207,26979,718911,-1,-1,-1,-1,-1,-1,733000,-1,943391,-1,715322,3625,599999,918785,-1,-1,-1,-1,-1,581972,254092,-1,-1,600374,891940,-1,-1,-1,-1,-1,898556,730258,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,997830,-1,-1,-1,-1,874450,478392,198118,-1,-1,-1,-1,631189,964069,978853,206696,387635,924903,-1,558353,12912,946542,49786,-1,950127,799939,-1,-1,859734,657507,-1,-1,-1,982702,-1,726048,834868,-1,671940,-1,-1,938220,856788,-1,840942,-1,35183,548152,201226,428293,526763,-1,408454,834088,-1,-1,87653,-1,49625,-1,-1,183608,476806,-1,-1,-1,-1,394646,726079,43390,232823,-1,942233,997579,-1,-1,-1,-1,945060,-1,-1,-1,-1,888713,214832,-1,-1,642669,351060,328773,-1,-1,-1,675115,923778,-1,674277,-1,-1,184445,926721,-1,845489,89673,779157,-1,862944,-1,749327,601965,756463,745606,309891,388995,-1,222400,776160,856001,-1,-1,-1,-1,487992,239274,-1,115002,663070,723399,883712,122531,153320,900636,788185,696719,210914,811658,892447,192964,67607,-1,345512,815615,-1,-1,421283,-1,-1,440562,104418,-1,57816,325180,551719,453659,193396,-1,490003,-1,209424,540506,-1,246632,-1,855098,769121,-1,398991,352355,488592,-1,83750,-1,-1,721869,-1,580127,126786,328751,151256,815188,696703,138278,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,923070,-1,-1,442550,26440,-1,-1,-1,338358,447318,-1,939135,-1,-1,835468,-1,-1,-1,314096,-1,-1,-1,380294,-1,171673,273696,-1,-1,375602,420535,627906,-1,-1,-1,-1,444077,-1,282344,541028,334381,632552,368872,-1,-1,-1,-1,146715,336811,-1,-1,939750,-1,913734,-1,53847,678782,219265,35714,916621,465424,194829,-1,724698,-1,-1,538222,926639,-1,337999,-1,869549,-1,399063,-1,906473,-1,-1,-1,367106,-1,-1,880853,767605,14962,625210,56708,-1,538828,891017,876415,224649,859444,-1,993213,-1,696534,904911,26508,943940,-1,447126,292110,327600,902935,213121,-1,-1,721988,-1,-1,-1,596791,-1,-1,-1,-1,375140,-1,-1,576492,-1,710951,-1,640734,141885,-1,-1,-1,342824,409582,813749,155283,-1,280940,-1,793772,-1,510848,360031,294891,-1,-1,-1,768349,255847,-1,95872,738094,-1,246784,-1,-1,113375,302402,671602,-1,-1,-1,-1,438482,869631,-1,-1,534175,-1,-1,-1,-1,-1,775092,278035,-1,-1,113461,-1,369136,-1,982664,-1,-1,-1,-1,230807,723268,350200,877281,954794,842504,747541,978335,253484,916165,-1,661259,68319,165403,584993,740637,646566,-1,718870,855678,-1,-1,-1,443818,-1,662864,-1,-1,709571,-1,-1,-1,-1,242762,104885,-1,-1,697256,-1,40002,-1,658331,-1,891146,-1,595738,-1,-1,-1,-1,-1,-1,-1,226260,-1,-1,73560,187370,229224,57254,17326,-1,-1,910691,-1,-1,-1,364419,-1,-1,-1,-1,190368,-1,532932,932530,-1,-1,-1,965235,-1,741627,1559,-1,587316,-1,-1,359166,-1,-1,-1,-1,-1,306448,-1,-1,869017,-1,899796,389746,161744,927086,817173,276861,-1,152055,906359,44466,-1,-1,-1,-1,144912,-1,-1,707448,-1,659195,594419,105487,377675,-1,-1,-1,-1,679018,990663,-1,594960,672980,-1,319455,979342,448915,998632,787487,-1,583105,24549,-1,-1,576420,69460,858403,710434,-1,-1,125527,987853,-1,-1,-1,-1,660141,250920,-1,-1,-1,-1,593074,960766,-1,-1,483476,241540,325394,508782,-1,111091,-1,422905,262563,957853,358059,-1,595466,372368,-1,644661,754247,-1,950044,-1,411983,332721,962672,-1,280928,-1,917281,109784,-1,-1,44171,-1,-1,360903,-1,237043,705063,546027,-1,-1,-1,-1,-1,-1,-1,858897,703005,-1,569196,426664,879774,-1,503086,377110,-1,563910,145440,712255,-1,53778,-1,746723,633356,725452,285937,-1,878360,-1,513808,9595,-1,-1,-1,968565,21430,-1,-1,465604,614585,-1,346991,955746,-1,-1,-1,338149,555882,-1,-1,-1,54670,747762,-1,-1,14416,326343,593100,582171,178916,969569,-1,481613,-1,-1,295110,-1,353090,763502,272903,-1,2798,-1,401557,602159,524752,808196,388338,724199,608386,-1,945078,-1,809387,-1,365356,-1,827611,-1,553113,154912,-1,847645,391005,-1,139695,94739,-1,-1,-1,63406,653334,-1,-1,-1,-1,12498,-1,196228,784715,623667,100496,-1,475044,728617,335507,-1,434733,475474,-1,-1,-1,-1,-1,950144,-1,505364,-1,548837,879318,-1,731452,-1,816329,487626,627373,-1,-1,-1,-1,-1,538088,-1,629099,410993,363178,802545,37972,-1,542710,904984,-1,-1,-1,943064,829249,337664,-1,-1,-1,-1,-1,969529,-1,655897,474348,695225,219546,-1,77079,646746,-1,-1,-1,866427,-1,-1,214552,714833,-1,-1,188101,56985,812601,591409,909588,764522,84058,594866,-1,-1,385048,-1,352654,385219,-1,-1,-1,-1,763759,155682,-1,728687,-1,-1,359014,-1,-1,646312,900405,-1,301731,629010,-1,-1,340748,706509,380488,68276,66248,877184,158419,-1,-1,969684,682012,-1,-1,507709,382061,-1,175013,-1,757930,539580,-1,-1,605798,626638,8157,-1,246939,893719,-1,-1,-1,312505,-1,1951,81105,-1,-1,-1,-1,706107,-1,-1,717174,-1,-1,252009,112279,-1,-1,380624,-1,-1,70906,-1,262494,-1,926096,-1,-1,564867,-1,272580,-1,-1,-1,-1,459055,604739,-1,-1,-1,493838,-1,595929,952226,438298,-1,502964,-1,-1,271147,-1,26235,-1,-1,-1,222171,436114,-1,297869,-1,-1,-1,656192,978239,124501,411240,-1,314100,-1,732306,-1,313828,-1,202573,753660,930027,99073,-1,-1,-1,850000,-1,516044,349256,-1,538280,805505,-1,792600,238804,22506,885930,949680,436688,-1,-1,985004,805864,-1,-1,864854,750493,-1,-1,-1,-1,587646,842078,-1,-1,375791,756597,491172,224064,523013,-1,713757,938484,139166,80052,-1,-1,-1,-1,-1,570929,-1,-1,13681,899871,456071,-1,361983,-1,-1,825014,687918,190485,520624,-1,-1,219528,168078,122272,-1,355167,850752,-1,779853,-1,867209,834806,730989,-1,449223,448765,504285,-1,-1,-1,557150,267187,654323,-1,-1,-1,972133,212147,620735,111540,-1,-1,833393,-1,-1,127591,616394,283248,823335,-1,-1,975926,513623,102206,830250,401822,-1,860724,412615,28433,-1,965768,836384,-1,-1,222363,-1,923810,223981,639511,-1,384268,-1,-1,-1,-1,-1,545732,-1,-1,925143,-1,227759,801205,-1,925421,408250,787126,926756,48221,562576,812391,160072,57319,-1,-1,186417,85525,874700,751879,104838,802225,972195,-1,191218,-1,-1,-1,-1,-1,524174,907025,-1,774106,857764,-1,176358,-1,-1,-1,-1,-1,296025,579259,274216,-1,215767,-1,-1,767223,649617,784593,944234,-1,-1,-1,716594,139475,-1,784230,-1,24049,-1,488893,-1,773433,871107,232766,201008,3437,80730,370266,-1,-1,260533,-1,-1,-1,-1,827565,640360,864400,936230,-1,311929,160958,182259,499315,310350,-1,-1,230765,132609,-1,939766,-1,-1,-1,116609,-1,-1,672672,-1,-1,650705,-1,-1,855918,-1,-1,104275,659247,-1,685668,360920,966286,-1,96601,968424,752434,-1,-1,671269,-1,-1,129790,-1,-1,714543,483964,-1,902152,-1,-1,-1,304738,772058,446686,803544,670817,-1,855593,-1,-1,447481,722712,774395,122133,438855,-1,-1,722146,-1,620212,907163,913240,51882,149056,738662,-1,-1,-1,353993,-1,376984,-1,812118,-1,-1,-1,-1,691589,144998,-1,786819,508852,-1,812201,388699,956195,238806,810340,-1,227496,-1,297902,-1,637396,-1,-1,-1,-1,-1,85275,-1,-1,-1,-1,389247,48276,-1,-1,505587,130758,178327,14961,-1,222270,-1,746776,95528,-1,-1,231092,551056,268916,-1,-1,484023,-1,-1,-1,-1,430888,562996,889772,334599,-1,-1,-1,689813,489262,60947,-1,-1,-1,476085,-1,846311,-1,167399,-1,-1,-1,658271,-1,-1,878699,-1,442534,-1,-1,135366,-1,-1,-1,-1,-1,356669,-1,391411,298335,-1,-1,-1,857657,-1,711468,577132,348425,-1,-1,-1,-1,-1,471987,407503,-1,-1,-1,-1,-1,-1,719426,-1,601172,-1,-1,-1,285183,-1,573705,-1,-1,-1,427454,915385,501725,174978,25374,-1,-1,761614,-1,-1,561008,-1,-1,59359,134718,-1,-1,681947,752246,418928,-1,81068,-1,576719,859631,-1,-1,260353,863427,423151,705602,-1,417556,-1,726291,-1,485262,-1,479403,184559,195327,52627,-1,271071,740172,-1,894332,-1,-1,-1,-1,-1,-1,-1,-1,837566,237666,-1,692186,-1,-1,-1,700235,726739,-1,-1,584864,971893,192618,528285,469160,199687,-1,747122,109400,-1,469573,710972,649267,746043,804199,376630,297334,981599,150144,813652,-1,465212,605010,-1,-1,513702,601704,-1,808489,28826,-1,-1,-1,458051,-1,-1,248903,-1,791868,-1,-1,-1,-1,-1,-1,30495,-1,-1,-1,-1,317703,-1,-1,800948,466936,480397,115237,-1,699133,961922,34496,-1,-1,755123,-1,652458,753833,410136,-1,-1,-1,-1,-1,342802,923550,425891,135429,-1,-1,-1,-1,71142,-1,-1,-1,-1,951554,-1,-1,255180,-1,404322,318301,-1,-1,-1,-1,-1,829872,784589,-1,644923,-1,-1,-1,552495,-1,239711,-1,-1,974136,-1,988093,-1,566312,-1,-1,-1,-1,-1,-1,-1,-1,256347,-1,643919,712611,-1,-1,546813,979502,639520,777616,-1,-1,996922,575893,640612,152286,471751,-1,400177,-1,-1,-1,-1,844563,539937,-1,-1,-1,448028,-1,590143,816113,271184,-1,639967,-1,-1,-1,888024,-1,-1,353961,844862,-1,-1,-1,135421,454148,-1,-1,356023,605030,-1,990382,425647,-1,-1,-1,-1,-1,611671,770681,367887,270357,-1,593082,366740,-1,751180,-1,185138,-1,461686,59032,960767,63535,403921,91669,-1,819922,-1,-1,964888,825782,-1,561231,312394,-1,473219,444779,-1,-1,-1,22839,-1,-1,-1,534987,-1,-1,409328,-1,725891,-1,-1,-1,94004,379207,-1,11902,258353,81397,721982,454595,-1,876459,816944,796634,188734,774557,206037,-1,-1,-1,-1,-1,-1,-1,-1,900070,769902,344967,-1,-1,-1,-1,-1,23283,276455,133595,298984,151400,565645,-1,-1,126744,373038,-1,-1,994604,-1,991077,-1,-1,-1,-1,-1,6377,612474,-1,94980,512974,-1,-1,-1,803690,-1,506555,-1,953808,175653,110830,-1,-1,358994,-1,397349,-1,-1,509608,550156,269744,-1,-1,90298,336093,-1,-1,326628,583869,500530,-1,412568,118555,-1,688723,-1,724399,468063,-1,-1,-1,-1,246840,-1,341974,-1,221612,300756,-1,-1,-1,-1,47878,-1,662193,110211,-1,378984,700833,-1,405273,551967,-1,612567,-1,-1,-1,399464,334876,806831,-1,-1,-1,-1,826260,193736,213687,601547,483490,-1,-1,502412,151465,284936,46258,710371,-1,-1,518857,-1,-1,791352,-1,-1,974916,72341,36946,-1,-1,-1,816683,329812,-1,-1,473338,552933,227588,-1,-1,-1,-1,-1,-1,773250,847735,-1,-1,891959,670527,674507,-1,330448,-1,554107,577315,-1,103654,17031,157343,360325,-1,-1,-1,893909,413287,221342,240861,273975,794339,644340,-1,193664,361733,-1,341582,-1,138236,-1,326331,-1,-1,50956,-1,-1,788041,-1,946607,-1,-1,-1,442172,228253,-1,524228,-1,805168,-1,-1,465627,396526,-1,-1,-1,166279,-1,733351,315659,-1,-1,828134,-1,999839,598819,430982,253646,827135,115731,183484,-1,-1,-1,-1,920759,-1,524373,440541,760900,409829,694067,-1,-1,641464,-1,-1,251580,26990,-1,991380,219808,825172,155680,121569,530346,264957,22881,-1,-1,-1,-1,330310,-1,886184,-1,339678,-1,190219,-1,-1,654068,-1,330726,-1,867916,175742,970934,668545,459940,210159,-1,809260,304661,-1,674550,-1,-1,832794,173087,-1,-1,952425,-1,918504,569071,508408,-1,-1,-1,705939,-1,-1,-1,304321,752720,139300,646331,-1,423708,14112,119205,316584,-1,-1,811516,-1,-1,457170,709401,311911,-1,-1,432541,204513,646977,700242,602542,-1,-1,-1,323200,726613,456827,883908,471083,-1,-1,693940,-1,596325,368950,-1,193963,21413,768924,-1,720770,70990,180670,41436,775876,-1,922456,-1,-1,347334,-1,-1,-1,-1,729161,776396,-1,354623,41777,775817,984495,583387,175117,651119,316968,-1,-1,-1,-1,-1,441465,-1,-1,-1,969158,282462,-1,873238,755510,475626,42542,-1,-1,236951,-1,311374,554016,-1,39178,-1,-1,-1,-1,-1,88186,-1,652,-1,693993,963060,292918,991981,180493,515790,-1,-1,-1,-1,-1,-1,473124,-1,873602,-1,-1,457409,-1,-1,-1,366132,-1,-1,-1,293552,-1,525293,-1,919538,-1,-1,425734,-1,-1,293723,-1,170772,812245,442310,-1,825062,520390,-1,969248,595503,628426,-1,906724,-1,841067,-1,-1,-1,352813,181677,224428,-1,261278,545701,384489,-1,-1,340835,376374,489263,-1,465383,87282,249714,612303,-1,-1,169741,-1,328970,541403,-1,261502,445524,-1,-1,253950,496104,-1,792055,336664,-1,175011,492751,-1,4927,-1,-1,751972,362119,-1,-1,-1,-1,513827,-1,-1,95558,-1,-1,390896,436123,-1,-1,771068,-1,-1,152386,818100,891726,808734,-1,-1,611983,803963,932604,-1,151437,714832,-1,933189,23967,588635,492873,287563,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,71612,-1,451850,995896,-1,-1,807844,-1,-1,-1,-1,-1,-1,293759,580213,-1,843283,878964,-1,111762,480465,-1,411789,-1,973011,407337,-1,-1,-1,-1,-1,-1,-1,182121,487766,-1,-1,-1,488533,-1,-1,696792,706304,302686,-1,-1,871183,-1,967470,-1,-1,798118,104050,6299,-1,-1,393313,-1,-1,-1,-1,-1,-1,-1,653922,62871,438977,155732,-1,-1,136969,25671,430603,516601,307589,-1,-1,-1,907601,-1,364026,444873,563092,59666,-1,-1,-1,183579,50527,-1,-1,-1,-1,-1,758093,-1,814011,-1,790404,998862,-1,-1,-1,389071,-1,-1,-1,-1,879631,329593,333332,-1,475653,-1,-1,808281,673225,487389,696201,-1,623228,-1,439748,-1,-1,328757,921157,-1,473431,-1,65727,-1,-1,-1,-1,467062,-1,-1,-1,-1,-1,-1,814016,785102,-1,948626,-1,506784,92355,915622,356506,-1,105291,252178,-1,-1,-1,233613,307622,-1,790955,-1,847015,690643,-1,383924,-1,982171,622123,-1,695844,-1,443804,-1,61489,43830,-1,-1,-1,92092,790452,-1,618982,-1,951391,-1,34922,-1,-1,-1,161469,966787,-1,-1,-1,5967,-1,-1,-1,276480,-1,492084,78104,505908,-1,-1,-1,-1,148158,-1,-1,-1,791860,659450,-1,309655,-1,-1,961710,850569,-1,536373,972536,-1,-1,-1,793188,-1,818611,516104,-1,490069,335081,622703,-1,913487,667707,506436,-1,136664,-1,-1,490665,-1,944693,-1,890398,-1,-1,-1,255520,-1,396949,-1,931227,-1,-1,-1,-1,136033,-1,-1,259748,428787,-1,350070,-1,-1,493142,899437,-1,119344,42544,-1,388487,332296,79624,-1,913640,453975,643406,-1,-1,377631,-1,468506,-1,-1,782006,-1,-1,-1,-1,30953,419096,601419,-1,808335,641777,-1,27803,870699,-1,-1,314040,658619,-1,-1,894411,329954,-1,987744,716316,-1,-1,169178,279448,94542,-1,-1,-1,-1,-1,-1,-1,-1,-1,837333,-1,-1,694858,245788,585173,9631,18715,412366,131147,461948,-1,-1,-1,308897,-1,-1,-1,-1,-1,-1,-1,-1,565325,485344,-1,-1,-1,123278,182091,-1,-1,-1,-1,918119,-1,615446,32000,219833,187309,-1,548402,378873,-1,-1,632228,392484,-1,-1,-1,-1,-1,-1,-1,632037,596343,479228,886201,636020,-1,627646,-1,969866,142048,279640,-1,-1,268038,420353,540683,-1,-1,262217,-1,819373,-1,-1,-1,568209,180491,-1,602162,-1,-1,-1,-1,-1,1842,901404,472898,-1,-1,-1,-1,752233,-1,536477,-1,-1,-1,-1,365779,107061,-1,962356,204130,110299,-1,931819,-1,633681,983366,399216,-1,-1,-1,964171,908568,-1,60209,214854,494590,625051,-1,-1,-1,-1,373561,781807,515952,845179,338647,630570,78139,720449,97114,-1,-1,-1,518598,907707,-1,474416,-1,-1,-1,268025,-1,-1,963926,406222,430668,759766,696325,-1,-1,373458,538281,361410,-1,602030,995652,-1,789414,-1,-1,-1,-1,732420,74232,893399,790903,279891,-1,-1,7430,363631,44310,-1,913750,183358,-1,-1,718459,949454,-1,-1,315517,100871,304953,788887,186851,448644,131859,4272,812859,144234,758979,642240,177089,609806,825346,340934,-1,-1,-1,-1,-1,900037,287967,-1,894807,136504,612865,-1,447165,-1,569415,443281,556936,-1,-1,-1,-1,-1,530982,-1,-1,84363,-1,749215,947885,-1,-1,726612,-1,331242,499652,-1,-1,340918,-1,338615,-1,-1,982567,-1,-1,-1,110665,435544,652717,521420,80376,-1,-1,-1,660784,819486,232395,-1,-1,-1,-1,218389,-1,179837,176207,492228,569910,-1,-1,200151,996874,-1,77933,102800,776678,-1,-1,-1,-1,92703,58657,703846,-1,453764,-1,-1,-1,740171,697325,740748,949698,271424,-1,152447,-1,73486,244625,-1,403733,975540,18075,-1,843954,-1,-1,870461,777398,-1,-1,792038,-1,-1,-1,-1,-1,-1,385455,799105,-1,-1,-1,-1,-1,954316,708450,795910,440972,749724,-1,790412,-1,691605,566079,840608,560215,374976,-1,267156,694811,422362,-1,85949,667882,647921,437832,-1,-1,976103,-1,-1,275301,11766,52625,-1,-1,823146,-1,125517,-1,-1,-1,-1,938961,677389,-1,-1,-1,-1,564940,666784,279860,149401,-1,-1,714396,188651,488891,-1,-1,772532,668072,-1,-1,-1,-1,-1,630862,-1,-1,-1,-1,-1,850392,-1,-1,-1,-1,792103,149085,478513,-1,-1,-1,168212,-1,30459,-1,-1,-1,152646,88407,140653,-1,-1,282404,-1,712497,29845,-1,-1,-1,-1,239157,128881,-1,-1,-1,56709,47813,-1,679821,-1,485575,851805,-1,190953,92397,151496,-1,-1,670059,435740,775193,-1,825919,563163,-1,-1,622468,-1,564153,-1,-1,791556,357905,-1,244180,23878,917368,-1,-1,-1,-1,466706,560753,-1,390174,167892,69692,91944,-1,974166,-1,-1,860343,736429,159530,774473,858121,459171,742091,-1,974342,-1,82861,-1,-1,-1,-1,67814,-1,291560,375623,-1,616934,-1,156486,-1,676668,903638,877568,58865,123817,705329,-1,69783,-1,202518,-1,-1,154520,-1,-1,843475,904511,137655,925406,844173,-1,-1,-1,619015,-1,246785,-1,75678,-1,665140,-1,192382,720896,-1,126588,587374,-1,-1,-1,-1,871850,942403,-1,-1,12098,-1,615995,736811,999731,-1,-1,99975,52360,-1,334415,-1,627134,-1,143450,712085,-1,-1,712631,-1,-1,-1,-1,803862,-1,-1,-1,-1,637848,-1,276638,425292,-1,273279,-1,588402,-1,-1,-1,-1,-1,-1,-1,-1,160140,639530,267181,-1,-1,-1,-1,916759,-1,991369,46512,416430,595551,-1,316547,48823,358625,-1,577302,565711,-1,797674,-1,-1,-1,-1,578655,132115,-1,-1,133458,-1,927044,720838,747873,549655,-1,-1,890712,78611,-1,3361,1606,-1,-1,999420,364439,245991,-1,-1,-1,-1,-1,891771,855209,-1,523083,-1,-1,108672,-1,952572,-1,54650,-1,-1,480815,780566,-1,188507,-1,222910,-1,457053,772245,-1,-1,613197,-1,526010,186188,745143,-1,72219,129326,-1,436308,-1,906287,-1,155449,-1,294324,-1,796520,-1,-1,552762,284870,150418,-1,-1,-1,-1,-1,-1,731832,511724,636943,-1,72972,205250,-1,478916,539876,195818,-1,307761,-1,-1,829277,280428,84517,-1,328376,372981,389630,-1,-1,-1,-1,-1,-1,281441,590063,543723,-1,17261,361964,45410,-1,876253,-1,-1,-1,-1,255095,366269,-1,-1,536963,754528,-1,999133,-1,-1,560754,210871,-1,582295,442502,-1,790924,-1,-1,-1,998154,-1,24691,-1,239019,97818,-1,116715,-1,719987,-1,456032,-1,186215,420552,-1,-1,-1,-1,-1,-1,378208,913886,88293,-1,-1,871708,-1,-1,814704,-1,-1,845383,358714,390919,96572,-1,-1,-1,136747,494640,897077,-1,904862,169138,644149,-1,442714,-1,-1,459601,-1,719924,-1,78239,-1,89238,-1,-1,-1,-1,537336,919942,-1,35442,-1,205399,-1,-1,-1,264200,-1,869790,-1,-1,710380,-1,-1,-1,-1,17401,-1,151132,10725,109875,221211,214962,-1,-1,-1,-1,-1,-1,902790,-1,212236,346437,-1,-1,917113,-1,-1,-1,606819,-1,-1,49608,217709,-1,-1,-1,-1,486470,-1,372397,779731,562546,317187,514601,16586,9591,-1,416985,-1,643360,999089,-1,225553,275686,516353,-1,804041,202876,339227,-1,-1,911231,786728,-1,-1,-1,987436,479779,-1,-1,820019,521389,-1,484519,211478,736159,711730,14851,392999,813455,935906,899337,345385,49803,-1,86810,839750,300534,219804,-1,964165,96631,463662,331916,-1,274942,-1,-1,-1,-1,793695,373108,-1,396895,-1,-1,-1,794907,583459,312152,814484,825798,-1,382359,-1,-1,-1,-1,198711,-1,200104,-1,-1,562867,979859,-1,128884,-1,-1,-1,-1,849125,283177,107057,-1,466722,570606,-1,-1,-1,183189,554207,447072,-1,-1,-1,-1,-1,-1,-1,261321,606447,467677,86532,776321,-1,-1,573451,788174,927239,-1,813346,39492,-1,-1,-1,256806,185469,213577,-1,-1,671866,944218,-1,-1,515792,957053,-1,504135,-1,631845,-1,-1,53183,-1,-1,-1,-1,219575,-1,924655,706701,544643,89042,541928,217727,912306,235715,145754,564369,-1,-1,904853,998930,-1,820751,554375,-1,145855,573252,476344,433673,616968,-1,428969,-1,-1,651976,804294,972295,-1,-1,515794,-1,-1,-1,-1,722446,21450,-1,798388,482360,583472,-1,609067,-1,-1,-1,386829,304564,143027,711761,-1,120379,726265,54970,-1,-1,-1,-1,355407,-1,446102,94033,308550,593264,134730,181424,-1,634873,537532,-1,428967,296286,-1,258537,414721,768653,665131,-1,541803,-1,384774,557915,-1,505758,452242,-1,633340,147139,-1,-1,350500,414005,382652,-1,-1,-1,290225,459803,-1,-1,212609,-1,-1,-1,-1,-1,-1,999806,-1,-1,-1,271226,-1,384266,561776,374676,900473,-1,-1,655533,-1,-1,-1,411778,435945,-1,-1,265448,-1,-1,-1,-1,755734,-1,896338,165888,558820,832998,-1,88534,-1,-1,954942,-1,758748,216927,-1,-1,22153,-1,797393,-1,256201,48350,-1,-1,-1,520322,-1,853984,-1,-1,-1,596436,323015,372419,520156,-1,-1,878537,41533,133461,-1,37668,-1,764879,102499,-1,-1,805159,212239,43490,-1,-1,81260,702838,-1,-1,555733,870254,905189,623232,-1,718801,-1,-1,684467,218561,449994,845737,321227,642805,190262,80031,-1,-1,945858,-1,-1,-1,-1,-1,-1,545952,-1,426340,413457,-1,661264,-1,765006,-1,176945,627545,-1,796406,920076,-1,145401,288362,141026,-1,786270,-1,-1,96816,-1,402789,-1,-1,-1,-1,368956,-1,323659,-1,-1,808900,-1,629523,-1,158512,120863,556372,-1,-1,702476,-1,-1,-1,544367,-1,5951,945828,659400,-1,-1,-1,-1,-1,422497,803393,-1,-1,391181,339181,-1,-1,-1,-1,905026,702611,-1,866060,305306,-1,-1,-1,-1,-1,782256,-1,-1,-1,-1,631769,705741,936582,-1,326865,-1,-1,10438,-1,-1,-1,-1,-1,-1,-1,-1,657162,-1,849415,-1,-1,703535,-1,541531,-1,309138,-1,-1,849259,960413,-1,-1,-1,393645,549775,231270,64270,571862,479834,521665,-1,177660,375115,-1,-1,824977,216712,-1,378880,14373,-1,123497,-1,603171,-1,921892,-1,-1,-1,243884,187153,329670,604928,873837,430562,-1,310661,420541,-1,-1,-1,-1,427831,515474,573729,-1,-1,-1,912762,156058,-1,458593,-1,615413,-1,558921,-1,972766,-1,94250,-1,575054,615870,-1,-1,634637,634977,-1,639896,493441,665456,181864,752654,-1,-1,-1,23806,946627,-1,-1,164318,24390,486919,357419,-1,368708,-1,-1,-1,-1,103045,612324,-1,718920,-1,-1,-1,-1,721667,-1,763650,405872,158362,-1,311513,963189,-1,600074,862399,-1,515963,675499,-1,-1,-1,-1,-1,852994,742651,-1,-1,187775,945676,-1,979570,993066,-1,-1,-1,461197,931380,560826,-1,-1,-1,-1,77059,-1,-1,897436,-1,866080,-1,-1,-1,408981,-1,-1,-1,744448,-1,-1,775290,-1,325423,-1,-1,-1,-1,336602,657435,69930,-1,3261,-1,-1,-1,-1,199048,-1,-1,408617,894314,-1,-1,193809,-1,739057,18947,-1,-1,514615,536274,826873,944579,-1,-1,133733,-1,-1,-1,-1,-1,-1,-1,-1,149446,-1,-1,871240,-1,551416,594790,-1,21348,246954,-1,-1,-1,835989,971603,-1,-1,196744,133913,911642,666927,962361,-1,-1,-1,-1,-1,883137,-1,625272,-1,870850,8351,326878,-1,487145,747846,564931,686536,-1,-1,525001,3367,782907,334214,-1,316420,-1,-1,-1,446925,-1,492300,741811,-1,-1,873327,72354,542343,245926,-1,285022,-1,697739,-1,858896,-1,-1,547398,670311,184331,-1,-1,-1,-1,-1,-1,229416,74508,269288,-1,641716,389443,901131,953037,-1,798415,501717,-1,-1,-1,793835,917273,-1,-1,-1,948575,809270,19004,254066,751428,-1,832278,-1,-1,-1,-1,-1,-1,863118,679589,943522,-1,686780,551661,-1,-1,620955,872058,456457,-1,338283,-1,604875,463885,861607,-1,505544,420612,271258,341290,-1,87907,512079,-1,103886,384748,444213,-1,-1,-1,761259,442810,284678,668772,-1,-1,-1,-1,-1,152196,602928,646719,859414,-1,197556,549136,491371,30806,-1,-1,413536,208383,-1,592271,-1,57979,-1,-1,-1,-1,-1,872500,-1,442938,803487,-1,-1,747088,423355,-1,-1,-1,101584,-1,-1,-1,-1,491136,243032,-1,632438,-1,599484,933509,424707,-1,-1,678737,-1,630442,721828,-1,931691,757879,962595,361702,-1,505046,-1,-1,-1,886183,776379,542654,332707,-1,792692,398753,-1,4136,868044,460691,-1,393779,-1,561845,923270,899959,-1,673944,-1,710281,18475,-1,-1,-1,52151,-1,638847,-1,-1,-1,-1,786056,325949,960039,-1,787400,-1,758710,-1,81844,279728,151892,122541,-1,484784,129724,-1,-1,-1,611065,121391,322121,539979,80749,510938,261267,-1,-1,790721,642253,-1,806589,470560,-1,-1,-1,-1,663727,823369,591958,897083,-1,106148,-1,774295,603930,936770,-1,-1,-1,-1,-1,-1,450981,94596,974130,205319,-1,-1,837711,-1,350394,242533,-1,-1,-1,877598,-1,350415,563229,73222,-1,-1,263645,538597,-1,304100,-1,629566,635844,-1,253239,-1,-1,627044,750110,530219,-1,561500,421360,-1,-1,146747,689939,37231,454372,-1,-1,-1,140435,238425,193414,-1,-1,63082,541640,-1,874112,534190,-1,886396,851826,-1,335683,406908,547791,114564,374332,-1,353832,968568,638965,892801,-1,-1,-1,971322,-1,-1,-1,-1,444928,-1,-1,-1,706796,-1,-1,-1,717315,-1,-1,-1,160368,331925,306035,-1,739967,946853,116345,934003,-1,785608,841118,718948,874811,543105,-1,-1,750543,-1,-1,-1,-1,-1,-1,319926,617100,552251,-1,-1,-1,-1,-1,-1,-1,8544,585068,-1,513634,-1,-1,86607,195937,-1,10553,883534,388261,-1,-1,-1,-1,-1,-1,-1,-1,333762,-1,-1,68499,207693,931924,8110,463938,959905,807201,752137,711731,-1,936193,-1,819971,38211,258601,-1,-1,-1,-1,-1,-1,-1,-1,-1,50464,-1,-1,858173,154117,685494,-1,41179,239480,434745,-1,73236,-1,-1,382849,813458,676217,873084,-1,-1,613948,241607,95093,-1,-1,596191,-1,416441,148366,734815,-1,-1,-1,-1,-1,965730,-1,-1,-1,875991,193213,-1,926177,-1,399400,-1,-1,-1,-1,401058,-1,745416,239600,-1,678607,-1,-1,885660,-1,-1,102888,-1,266573,-1,733349,-1,-1,-1,343299,926744,533749,833920,-1,171992,54007,-1,925059,709084,870595,-1,-1,-1,-1,840369,59132,350921,-1,746308,549296,-1,-1,-1,208631,797995,-1,-1,-1,-1,706694,880818,479450,-1,710046,-1,-1,-1,-1,304944,843459,-1,620060,662188,-1,-1,408951,-1,357938,-1,-1,-1,366396,194335,-1,691930,372642,-1,140731,370159,162126,-1,26640,849535,842868,-1,-1,-1,-1,-1,-1,-1,-1,-1,938267,-1,-1,-1,-1,-1,-1,838878,-1,-1,267896,-1,-1,-1,-1,501207,-1,-1,864236,-1,-1,520430,-1,498056,355445,607839,-1,148240,-1,-1,467055,-1,754460,498260,-1,598469,986885,-1,-1,775559,583976,-1,-1,-1,-1,-1,-1,-1,27168,-1,-1,-1,85200,220484,557469,-1,637084,903948,175002,-1,-1,341778,-1,-1,917038,-1,767629,748660,181817,856306,-1,58889,171305,364268,790687,237044,294881,677293,-1,326142,179169,258518,583463,-1,-1,113544,151014,519294,218175,421844,808610,-1,311169,-1,-1,167958,592700,-1,668080,457964,963616,906621,192919,-1,-1,-1,341553,937739,195625,-1,-1,-1,480848,-1,-1,-1,-1,-1,-1,-1,323130,-1,-1,582816,114671,-1,485785,-1,136886,671277,960430,779703,387861,-1,-1,-1,-1,403544,-1,-1,-1,875708,36730,664863,-1,-1,-1,-1,707986,520263,-1,-1,953383,-1,-1,-1,-1,-1,605480,219108,-1,247361,961305,-1,941705,-1,906460,79192,110588,-1,640619,88751,-1,-1,-1,-1,738861,-1,-1,-1,-1,294798,-1,844685,-1,245222,-1,867870,-1,-1,978959,-1,-1,921001,-1,442152,977118,-1,-1,545958,-1,991979,470937,866160,223683,-1,890709,143937,-1,-1,211679,393673,65293,27611,214153,-1,243272,980477,-1,897715,684685,249575,389148,48451,-1,777899,772201,-1,-1,-1,-1,174323,-1,-1,328222,-1,-1,476842,-1,172504,-1,-1,-1,-1,971842,140606,-1,-1,440240,670223,-1,685462,579920,824002,-1,-1,141475,-1,-1,-1,-1,-1,555053,-1,-1,99194,-1,-1,-1,-1,-1,-1,588287,-1,-1,778632,-1,-1,17776,-1,-1,-1,728404,-1,13456,-1,-1,-1,-1,-1,-1,-1,575591,-1,-1,480597,553927,745646,-1,697696,956185,495635,164180,877833,637148,-1,881295,-1,-1,-1,-1,-1,811854,-1,68,236057,958089,-1,157975,-1,1228,278095,416660,797465,730436,15085,82900,-1,685767,265856,231145,-1,-1,-1,-1,818520,-1,9878,35619,419131,983557,750339,-1,-1,-1,-1,781886,-1,-1,680502,-1,870437,-1,-1,122282,443632,-1,896458,930157,585720,520665,-1,856412,423133,-1,-1,859591,849530,-1,249947,-1,-1,578145,834243,-1,-1,48547,-1,923648,439792,-1,412927,737843,721130,-1,-1,-1,472574,-1,-1,837512,-1,261639,997424,-1,68217,-1,-1,148741,-1,39364,-1,-1,374092,-1,-1,-1,-1,417567,-1,170271,227151,956023,-1,545047,792678,852843,674496,139664,497426,-1,553738,-1,-1,333599,-1,-1,-1,722249,528983,-1,-1,-1,577489,-1,-1,-1,-1,375995,383344,-1,-1,453988,344330,-1,399486,260955,-1,913023,-1,647443,-1,-1,-1,-1,599415,-1,-1,-1,647048,709423,-1,-1,402965,375080,-1,-1,605828,137113,-1,-1,-1,-1,235196,-1,244098,-1,414583,-1,635760,-1,-1,-1,-1,88138,287528,382870,-1,329753,958459,322548,-1,467177,-1,609602,-1,216942,905318,-1,-1,-1,647569,755805,264095,-1,-1,221890,346854,-1,613823,152885,643843,695509,-1,55573,-1,297958,669053,-1,-1,-1,-1,-1,-1,769503,-1,-1,-1,-1,-1,-1,-1,-1,645716,750902,761707,494546,-1,-1,-1,-1,277598,987378,516287,-1,-1,701168,28980,791561,-1,-1,792229,-1,441704,-1,-1,-1,985949,303216,652208,-1,644858,534873,28130,-1,474361,908246,173627,-1,887699,682642,-1,346970,170561,695896,-1,631500,284141,236631,682600,-1,-1,318272,88633,-1,-1,934754,640769,-1,-1,101594,247168,-1,-1,553220,142797,989942,917358,-1,18816,502854,-1,573732,-1,-1,-1,429846,-1,-1,520121,31471,180039,827642,-1,473772,254879,-1,120540,-1,673092,433714,348211,314677,-1,-1,-1,502482,-1,-1,136228,-1,-1,136814,534768,-1,914742,-1,446460,-1,-1,-1,847852,-1,137688,-1,379795,-1,428710,500703,-1,-1,-1,-1,-1,-1,315248,968059,-1,47151,135295,-1,572972,37395,-1,-1,-1,-1,115160,-1,-1,-1,621102,-1,-1,-1,-1,-1,-1,-1,632833,995981,858398,-1,-1,-1,464335,313816,-1,133709,53540,54661,-1,-1,513267,192563,731986,-1,228610,-1,-1,997312,143671,-1,-1,-1,-1,916236,143163,-1,-1,-1,113719,-1,-1,829862,-1,-1,-1,398933,-1,329600,945470,-1,367230,944034,-1,-1,843749,-1,-1,846317,455769,-1,-1,-1,214907,735485,797310,953040,-1,-1,-1,-1,-1,-1,231653,721314,568509,-1,232060,-1,762121,683383,760862,323038,-1,645498,-1,-1,-1,-1,-1,-1,-1,-1,411130,-1,664244,213260,-1,12771,663453,985059,-1,934518,-1,-1,-1,790046,412827,-1,310553,834593,-1,602835,188617,573023,556043,-1,-1,-1,331174,569899,-1,447542,-1,495140,438525,-1,-1,346575,-1,527228,-1,268211,-1,515692,-1,-1,689890,-1,627737,-1,458924,-1,-1,18360,-1,111410,-1,-1,150275,-1,-1,556953,498183,-1,-1,789782,759750,-1,77652,752446,505145,-1,741171,-1,393408,-1,390694,-1,624955,943939,130345,695346,838346,-1,600596,733855,633841,206099,952517,690729,-1,840953,35236,746238,458645,920982,649648,-1,469151,-1,-1,445020,323498,-1,738346,842703,877541,570019,806739,289991,-1,-1,-1,-1,-1,-1,620848,-1,438091,-1,92080,473194,-1,-1,-1,350699,257111,819724,-1,40943,-1,672565,-1,-1,568524,-1,521841,-1,-1,728581,-1,584493,104469,-1,-1,-1,-1,785867,-1,278482,-1,-1,-1,284797,565472,556744,663050,-1,-1,45405,497671,300105,-1,-1,709264,379195,-1,-1,300653,272725,49357,207702,-1,-1,-1,-1,784852,-1,151201,204740,661842,670171,655935,-1,71737,-1,-1,-1,-1,461306,37612,-1,-1,498169,-1,353311,13251,287929,770044,553195,72171,345581,-1,37488,250298,607448,618202,-1,-1,-1,-1,223259,-1,60992,-1,-1,-1,908756,-1,-1,-1,-1,636482,-1,-1,332282,-1,-1,933839,-1,-1,-1,369699,-1,256983,-1,505941,-1,819723,-1,-1,-1,-1,142744,-1,-1,873271,956513,-1,389983,59766,514398,845121,725313,-1,150048,-1,667399,-1,-1,648001,959335,41212,825003,-1,293596,559660,427690,-1,-1,-1,-1,384586,575970,-1,94007,51811,-1,-1,-1,569858,463294,248370,-1,139858,-1,796452,-1,236806,-1,844704,152491,-1,36042,-1,-1,94400,-1,-1,-1,669011,813497,-1,642750,381408,538104,-1,-1,-1,-1,616553,-1,528633,364635,-1,-1,-1,-1,211316,136842,-1,475048,-1,-1,74271,-1,613786,-1,729476,528276,-1,276616,290884,815134,230868,-1,-1,504323,-1,681605,-1,-1,-1,-1,-1,585391,-1,-1,837965,247112,908902,-1,669214,751727,-1,-1,391747,985830,796852,-1,-1,915268,-1,308530,-1,228583,-1,426345,-1,923397,-1,-1,-1,-1,434919,-1,-1,-1,443205,-1,452562,-1,-1,283109,-1,-1,-1,-1,-1,918925,516180,-1,786526,863426,-1,618010,82129,-1,469316,-1,-1,-1,937525,-1,353743,-1,-1,-1,151551,158184,-1,706389,-1,-1,378919,588507,-1,424585,331704,873127,-1,-1,936114,-1,274183,998866,-1,23561,-1,-1,640298,-1,797746,-1,-1,-1,291350,-1,-1,727109,247978,-1,-1,648867,548642,358777,-1,359730,767502,356701,-1,-1,478483,-1,-1,-1,-1,415177,235887,693646,95487,-1,107083,-1,461422,-1,161722,579374,-1,-1,844758,814908,-1,248857,170313,287343,480070,-1,682531,725537,484506,965400,-1,-1,-1,448894,54800,53845,-1,-1,-1,828734,958241,-1,65448,595173,-1,-1,459137,641573,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,215008,517472,-1,765694,702966,-1,415823,782170,880538,-1,-1,191959,868527,-1,-1,805808,-1,-1,781214,-1,736191,199007,-1,-1,-1,-1,169528,133665,147550,-1,999860,306775,-1,-1,-1,-1,-1,-1,-1,-1,132990,84562,-1,195687,-1,698399,479071,-1,741770,536546,-1,48231,684173,267457,-1,899005,-1,-1,435249,301579,361215,565201,624533,-1,671032,2146,-1,-1,-1,-1,437516,-1,183684,876434,-1,173845,-1,277699,712162,940024,253247,-1,-1,-1,-1,-1,755808,225800,109561,73448,-1,-1,-1,335789,-1,363515,-1,382357,-1,590854,945139,-1,-1,-1,-1,-1,508151,-1,771494,936075,137922,42592,346124,-1,-1,-1,698113,-1,-1,-1,-1,934181,-1,743950,-1,830542,-1,313763,569798,122041,181386,166873,-1,-1,396844,574619,-1,668798,139938,-1,914282,376859,-1,-1,-1,-1,857207,823094,778817,-1,-1,-1,65839,-1,-1,-1,634516,701602,437199,-1,602437,-1,74719,894340,-1,804240,342068,-1,635042,870309,30601,635828,-1,434225,243241,-1,-1,875834,56694,886491,-1,739462,511194,858508,310005,-1,841726,806537,-1,931585,-1,-1,-1,-1,979677,202057,667072,-1,-1,547991,-1,74098,154700,488377,-1,-1,-1,-1,251781,-1,694413,174046,656490,-1,-1,-1,-1,-1,-1,-1,425833,625453,-1,-1,853065,-1,-1,703234,794820,734918,206314,715133,-1,-1,-1,439653,-1,536173,-1,763307,665260,-1,502044,-1,-1,-1,972733,708347,821836,-1,800144,-1,-1,994278,-1,906291,-1,233246,936063,-1,374942,789679,-1,580864,-1,37751,-1,625635,486903,707979,40346,-1,-1,892738,922913,341096,993851,83734,439764,238541,966325,-1,946,831990,558607,253521,-1,-1,851892,466090,-1,731587,887899,344480,-1,431733,-1,-1,457814,160212,419638,495261,762728,-1,-1,951476,256149,-1,682768,-1,915439,799102,-1,-1,-1,279913,916254,746937,394841,598907,-1,39967,-1,377184,-1,451970,727079,11697,-1,172907,-1,-1,-1,-1,455011,90728,-1,300351,-1,164346,205625,-1,245869,-1,733846,740841,285001,484234,-1,-1,856524,-1,26103,-1,-1,845060,-1,497900,-1,740546,962550,-1,-1,931379,-1,186607,423623,-1,-1,-1,443621,-1,878541,854084,568443,-1,-1,-1,-1,854130,166879,-1,-1,-1,417419,364407,197943,113311,231434,151770,-1,631911,-1,-1,515245,964422,21784,604612,922221,-1,459893,-1,-1,-1,-1,-1,-1,-1,436935,-1,-1,125108,604910,716156,-1,-1,438065,592396,212432,-1,-1,314788,-1,851363,-1,388253,-1,421413,-1,896336,-1,757824,-1,-1,-1,599109,428743,481018,309020,-1,28985,956397,750650,-1,-1,-1,816894,-1,183856,-1,-1,814492,-1,299897,-1,57933,204203,-1,-1,-1,354128,21937,-1,-1,962539,-1,12923,389046,-1,-1,450015,738824,175025,-1,-1,-1,-1,804852,-1,107112,614190,-1,-1,-1,-1,-1,-1,512938,749343,-1,-1,-1,983835,-1,-1,270576,9603,-1,661992,662246,890160,898455,332500,-1,-1,-1,993639,535417,171788,715325,-1,239606,-1,905095,847638,-1,-1,721339,275765,135101,814762,518751,-1,-1,430846,575093,574667,223124,-1,992927,313492,-1,555902,879118,-1,-1,211341,323641,586582,-1,259859,-1,151260,793493,95263,818360,-1,844130,241102,52898,-1,-1,-1,-1,-1,341796,278785,13700,-1,-1,520881,372855,34792,68406,-1,635818,516162,-1,-1,-1,-1,723255,877013,413767,8085,-1,-1,532326,-1,885946,-1,921528,-1,646017,-1,757372,910813,-1,-1,-1,-1,-1,-1,121841,-1,-1,7063,261820,-1,-1,62746,873490,-1,718454,838113,879020,164777,728030,227073,696093,-1,738468,-1,388113,360712,-1,-1,827697,-1,-1,2813,-1,-1,807465,-1,597115,141900,-1,783977,-1,923685,801468,681631,-1,560668,-1,4190,887401,947182,-1,-1,-1,526119,-1,907320,639501,678285,737797,-1,-1,-1,-1,-1,-1,846045,270008,-1,-1,-1,-1,-1,948123,-1,358708,794943,237519,-1,99909,93780,-1,547565,572288,999317,-1,225522,315622,-1,-1,-1,-1,332354,-1,844338,-1,857862,-1,-1,115576,423727,-1,341267,-1,940022,-1,674294,-1,771743,-1,368729,595999,-1,182268,496918,309556,96763,-1,255569,-1,934973,-1,748903,-1,884432,-1,-1,-1,-1,-1,-1,-1,47277,638590,337095,195380,-1,224993,-1,-1,345240,201723,-1,406012,43588,-1,-1,336077,-1,227915,-1,-1,664434,903679,816480,-1,-1,577814,775238,446380,981552,-1,-1,957266,117895,65930,324940,291973,598928,-1,14611,410575,-1,-1,386404,-1,970241,-1,624439,243595,652692,-1,691532,-1,992160,-1,356634,-1,267468,-1,391503,276927,244866,-1,740871,-1,-1,586334,88685,-1,526686,696110,-1,-1,-1,743580,472434,-1,-1,-1,-1,-1,80456,-1,-1,293482,77049,630310,144668,-1,791778,98000,-1,-1,-1,561576,-1,30561,-1,-1,259657,-1,-1,-1,456159,-1,-1,-1,694688,787555,456935,99999,-1,-1,109833,945764,-1,-1,-1,-1,811943,-1,130014,-1,-1,-1,-1,-1,391675,-1,926061,-1,-1,481805,576,799970,-1,-1,500792,-1,-1,-1,-1,213583,-1,-1,-1,300341,-1,642753,764910,-1,87341,276409,81922,-1,620126,972491,961051,-1,643980,-1,-1,32869,-1,829023,-1,993879,-1,-1,135597,715968,-1,-1,-1,-1,476694,-1,-1,915700,486059,941237,812963,-1,931470,-1,-1,49844,250297,393714,398397,-1,-1,-1,709522,-1,483944,955982,114911,-1,529972,925476,162982,662716,231142,845386,288155,208154,116755,986245,619567,-1,881641,900759,-1,-1,646514,-1,957221,768432,-1,961815,671246,-1,-1,-1,762611,-1,94177,-1,940603,340641,-1,-1,-1,-1,-1,297862,-1,-1,35052,838758,-1,-1,-1,-1,117115,738977,967896,797026,-1,-1,-1,-1,-1,783023,-1,-1,100101,-1,441977,640032,-1,776761,-1,-1,442567,-1,-1,806242,-1,835069,526963,641957,935532,857700,504016,-1,822878,-1,-1,466508,-1,-1,462881,-1,-1,-1,-1,-1,84204,500369,-1,-1,945993,-1,-1,627231,-1,-1,-1,10923,-1,-1,-1,-1,953687,-1,-1,-1,-1,987730,351262,-1,-1,-1,195174,667333,-1,-1,-1,717245,274762,-1,-1,216665,-1,-1,-1,-1,-1,-1,-1,-1,258927,-1,289958,728123,734158,993817,99869,-1,-1,362948,497065,-1,133588,-1,-1,-1,-1,60410,-1,-1,-1,-1,-1,-1,71668,-1,607962,-1,-1,-1,-1,59679,-1,748606,-1,159887,817271,546239,283303,794412,-1,-1,-1,-1,281496,576003,-1,-1,760648,-1,-1,226678,405021,94547,285174,-1,-1,-1,-1,-1,-1,562354,520256,181352,-1,-1,-1,-1,618137,858174,465992,92175,453863,-1,56274,-1,-1,-1,-1,378550,-1,996449,-1,-1,-1,899136,475369,-1,-1,369648,-1,795922,-1,802912,-1,512110,410925,-1,699905,-1,-1,958372,-1,-1,841346,903919,47916,-1,957342,-1,947644,111988,555401,-1,221928,159738,752737,777268,-1,-1,331940,-1,178838,926817,-1,794599,-1,-1,-1,500168,531684,819966,990966,-1,-1,-1,970189,-1,-1,301643,-1,377861,-1,-1,400250,192559,278154,-1,49195,-1,139980,536719,-1,777271,951723,973861,425152,140137,686082,-1,26351,-1,124625,-1,-1,667346,-1,395234,272866,668431,-1,522203,853996,-1,947941,-1,-1,118640,-1,-1,910864,578369,226710,-1,810033,409183,881866,92362,-1,-1,-1,510384,-1,-1,-1,-1,-1,268213,-1,-1,-1,383319,-1,524985,-1,-1,-1,278580,781851,687570,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,288701,-1,520916,486169,734355,-1,226524,-1,-1,-1,-1,-1,346346,-1,116935,-1,139174,991829,-1,58750,166950,350859,-1,-1,903966,-1,-1,283040,-1,388162,-1,-1,761426,-1,-1,-1,767610,-1,-1,-1,-1,-1,-1,233293,-1,296189,-1,623357,-1,738377,-1,243647,231016,-1,807689,578674,-1,-1,834209,139007,376566,998060,692852,901867,-1,-1,36105,-1,787764,-1,-1,606005,-1,-1,-1,-1,562852,547516,38149,256038,993015,-1,431078,-1,-1,-1,-1,594899,342657,672930,236567,-1,883903,314955,14515,295925,538329,-1,-1,846498,-1,-1,304837,-1,371396,56851,207296,318708,-1,441622,-1,754712,-1,-1,-1,299625,683457,717051,392652,-1,-1,42332,914635,-1,288235,924935,-1,-1,-1,274347,886829,252382,245703,524229,-1,668866,-1,913072,-1,628792,664838,-1,-1,773786,657392,-1,167643,163517,505047,-1,-1,98037,-1,448293,-1,-1,817968,35065,630014,-1,931895,58573,-1,-1,64511,748147,-1,12543,-1,-1,499770,-1,92413,583122,24527,-1,-1,-1,928717,540737,757322,-1,-1,-1,58149,32610,217272,432800,-1,-1,778271,-1,-1,116231,-1,-1,-1,17807,-1,736612,-1,-1,-1,412984,62128,989484,-1,-1,416855,-1,434856,-1,219747,-1,-1,509991,700452,190575,-1,824731,314939,192388,374059,23443,966859,-1,-1,188244,-1,396673,-1,-1,586044,-1,305278,78610,779850,817654,728568,-1,-1,-1,-1,773324,-1,503455,896705,-1,484500,436285,313962,276748,653823,738783,-1,-1,95312,-1,887772,-1,131308,671885,-1,318166,-1,-1,477285,521930,951049,-1,-1,18259,-1,861144,33534,-1,-1,-1,-1,545287,20786,-1,-1,385589,507171,642228,-1,402626,-1,-1,42782,-1,-1,-1,-1,431160,-1,330063,-1,147693,-1,819697,97315,885507,823748,192797,206245,355747,-1,-1,605593,490951,987688,-1,961130,-1,-1,362704,828469,160527,860982,761224,571872,653260,495147,-1,-1,-1,-1,-1,-1,-1,-1,310584,-1,-1,196272,334797,-1,710321,252305,861748,-1,-1,-1,-1,-1,370179,401389,54263,460481,-1,630020,-1,333330,-1,-1,275071,760066,967915,-1,-1,883769,491208,251690,665889,517313,-1,653644,-1,-1,206503,-1,-1,654624,315676,312841,-1,-1,-1,617957,-1,-1,-1,13402,156991,12262,-1,-1,-1,99920,441723,-1,-1,996026,865804,-1,505984,-1,563955,206388,99120,-1,426782,328426,-1,-1,-1,-1,145719,-1,895194,-1,-1,-1,447017,425316,-1,-1,713880,-1,-1,-1,-1,-1,907839,209478,-1,576369,163261,-1,-1,-1,179694,-1,831439,-1,645450,292688,-1,655169,-1,-1,119408,-1,-1,898929,-1,120207,809745,-1,378608,259150,856575,-1,37125,425671,-1,791911,586127,-1,841894,-1,848310,-1,-1,695632,-1,-1,-1,-1,694652,-1,-1,955186,22694,-1,250958,-1,-1,-1,-1,10163,-1,697259,-1,-1,22433,283579,853626,16513,-1,230348,-1,-1,-1,-1,-1,224768,-1,341408,-1,-1,768940,-1,-1,-1,849285,-1,-1,444329,-1,-1,636457,-1,61198,906335,115124,763188,975802,279986,442347,31770,-1,132099,992127,-1,-1,366208,-1,-1,171501,-1,-1,445254,-1,445084,-1,-1,-1,311234,190621,245544,-1,438897,-1,573904,63832,-1,-1,-1,-1,939922,526493,945829,973849,-1,-1,945363,-1,199379,-1,-1,669817,937578,-1,468933,458073,-1,640226,-1,543682,767415,743000,980670,-1,-1,-1,726065,-1,478582,266805,902086,305120,507096,-1,39325,255302,-1,-1,308617,480052,-1,111861,464287,62882,-1,902278,731742,-1,200445,415870,-1,322140,55934,-1,788348,-1,982630,165950,2522,757697,-1,-1,941388,92664,-1,27312,-1,454005,-1,585262,188657,-1,-1,447611,318446,-1,3441,-1,384377,194402,-1,-1,-1,-1,830241,-1,124429,907224,549598,-1,61364,877776,746923,-1,-1,-1,-1,-1,-1,513791,-1,-1,-1,207790,114309,-1,276172,-1,65423,-1,-1,194066,838562,-1,514473,312309,-1,302666,-1,168064,-1,-1,-1,-1,2814,-1,847282,-1,-1,834278,-1,-1,118354,410061,-1,-1,-1,496871,807903,-1,-1,356764,-1,-1,172308,-1,-1,-1,-1,-1,971691,946212,859941,544127,-1,972788,-1,-1,356073,478565,-1,-1,-1,760875,-1,464135,78169,-1,-1,-1,435089,-1,384375,-1,323180,822956,-1,395080,-1,187650,969095,684968,-1,-1,-1,323120,53481,-1,-1,114663,37793,-1,-1,507889,-1,-1,-1,726951,165262,860747,706820,-1,-1,-1,318184,-1,16051,456887,-1,349402,-1,-1,-1,-1,-1,5315,175915,-1,968535,-1,632586,82439,855626,-1,-1,-1,-1,-1,210904,-1,-1,-1,936648,49782,636422,-1,-1,-1,-1,-1,-1,85067,46105,-1,29948,-1,589972,-1,113247,734084,-1,-1,517588,-1,-1,144950,748608,-1,894715,498357,625686,440850,103109,990124,-1,399105,-1,287734,-1,-1,-1,158949,893238,-1,-1,266231,541065,-1,416885,-1,-1,-1,-1,542031,699976,341245,599555,-1,401123,-1,789522,-1,133060,-1,-1,-1,218520,-1,315122,789149,-1,-1,456438,-1,970498,-1,84273,860465,260686,219627,-1,-1,-1,568857,-1,729949,-1,989408,937538,-1,-1,-1,-1,924616,529302,-1,-1,767119,951210,127475,-1,-1,119729,-1,510705,-1,-1,-1,-1,216905,-1,-1,541790,74306,-1,618325,383353,24623,-1,-1,-1,142764,-1,136860,589381,-1,-1,-1,540044,972845,-1,262871,367740,-1,-1,747247,-1,-1,-1,-1,-1,530685,-1,-1,-1,547519,-1,992492,899093,-1,-1,568064,-1,120533,349037,575135,911599,587969,-1,-1,-1,604846,650372,-1,-1,-1,-1,-1,250880,-1,-1,847062,-1,412819,-1,-1,105859,-1,962840,-1,-1,-1,371400,-1,-1,988749,-1,289923,-1,147648,-1,403099,914489,755037,-1,328753,333964,-1,279044,-1,984417,545312,-1,392965,-1,638580,573061,117633,10363,295566,190446,-1,-1,851152,-1,156960,906471,417841,267852,-1,-1,-1,-1,546533,-1,242200,388374,-1,338665,48906,695290,652455,894856,-1,-1,610176,-1,804899,-1,-1,558758,-1,-1,-1,26280,394888,-1,577249,-1,400805,862352,-1,284015,419718,-1,423228,-1,226265,760026,-1,449303,875740,-1,982120,227377,651011,354410,975672,123069,-1,695882,40824,280602,450323,791751,-1,816193,-1,-1,-1,219920,-1,743846,761231,-1,701211,918649,-1,-1,-1,668568,-1,319715,-1,416390,205926,571065,-1,496896,414302,222121,175491,-1,837990,-1,321734,-1,-1,-1,-1,494909,509122,-1,938654,163842,-1,-1,288753,-1,-1,568768,907392,626258,22094,-1,149346,-1,-1,-1,8280,638680,201856,819210,-1,513728,-1,-1,-1,-1,571906,499979,732989,-1,426569,-1,635648,187717,-1,743601,-1,516137,723728,576033,-1,-1,209464,-1,332887,-1,-1,881252,-1,377944,-1,-1,-1,288443,-1,-1,332084,-1,-1,114837,659545,-1,944375,367783,428583,298138,959718,-1,123017,416649,337215,34126,777235,-1,-1,509896,-1,462714,372074,-1,-1,-1,-1,647051,-1,-1,308578,-1,-1,811933,-1,331554,667174,411039,-1,-1,-1,-1,304925,19189,379914,772828,645614,-1,-1,-1,168541,936309,-1,491201,-1,-1,-1,-1,37652,474750,372088,-1,-1,626544,878893,-1,-1,12569,-1,412380,551102,-1,560100,-1,953479,-1,925695,-1,849574,-1,-1,144438,-1,360575,-1,45264,80407,-1,959334,847488,-1,48565,-1,7165,-1,-1,-1,-1,157679,182071,-1,-1,892825,-1,345789,-1,-1,395347,-1,704320,-1,-1,-1,633387,-1,-1,239131,-1,119950,-1,453756,-1,-1,41539,-1,-1,-1,729137,-1,133981,934175,-1,756129,256293,314440,291782,-1,-1,-1,-1,50982,811790,861027,-1,-1,675832,589119,451936,-1,-1,977134,358165,605081,197201,772657,376238,401495,-1,-1,-1,-1,446576,-1,433200,47143,502672,95397,-1,-1,504643,765853,-1,-1,547228,-1,-1,-1,-1,268617,381089,-1,783653,-1,-1,397932,187573,-1,-1,-1,-1,-1,437104,-1,134667,664080,-1,435670,-1,410098,-1,711114,-1,-1,274763,513228,-1,629770,-1,-1,-1,385533,-1,-1,774266,823899,-1,867042,-1,687653,-1,-1,-1,199485,927151,947662,-1,37133,856702,695864,-1,307271,-1,877901,-1,748750,-1,-1,-1,277861,569734,918000,434307,394998,112428,-1,-1,625014,-1,384812,188034,262486,114118,-1,-1,919785,-1,-1,-1,28232,-1,411694,650360,-1,-1,136763,560312,749607,-1,399427,-1,-1,290876,501149,338542,89717,-1,843128,241470,461884,-1,809318,-1,929208,-1,950262,619123,21197,682906,934802,-1,-1,-1,-1,-1,-1,764007,409530,589145,525418,644774,-1,-1,876120,148510,-1,87819,-1,-1,-1,-1,-1,-1,988799,-1,351939,-1,41847,-1,-1,-1,-1,-1,-1,997829,345287,181509,626247,-1,-1,571034,567544,251866,474193,-1,-1,869531,91177,762116,-1,803573,734724,-1,-1,507525,1601,-1,253056,-1,953244,-1,171958,-1,-1,-1,592985,-1,-1,366509,969814,926041,-1,982530,40486,112649,-1,-1,752407,-1,-1,697901,544918,768673,-1,-1,406503,946332,62538,431295,481535,467779,928796,335320,588559,-1,-1,509981,609789,556545,1264,875656,645032,-1,-1,-1,263579,265288,716419,388697,-1,-1,503523,-1,854582,-1,52900,55916,554153,647688,-1,315403,-1,-1,-1,584529,924531,21255,-1,410196,398403,125203,-1,657961,705883,-1,585697,-1,-1,542683,-1,-1,417945,-1,424016,-1,-1,-1,523519,-1,970839,-1,-1,-1,208731,-1,815879,-1,-1,638136,542348,267397,603405,996350,470004,-1,-1,44140,-1,-1,79304,-1,209775,314789,831608,18526,855686,140305,633050,155108,407893,-1,-1,216182,-1,-1,326511,989523,269837,473561,-1,-1,157098,63622,448571,-1,-1,567888,-1,-1,-1,579894,487312,769213,706436,214952,-1,-1,-1,83019,-1,70586,983409,300180,164602,-1,-1,246497,-1,-1,-1,-1,-1,803597,-1,686542,-1,-1,-1,926058,-1,-1,-1,762200,721418,78197,-1,-1,779269,295085,-1,-1,-1,384217,-1,-1,766620,-1,-1,816807,-1,-1,413905,706598,-1,-1,-1,-1,-1,472955,-1,288888,668250,420453,-1,914785,449542,-1,66534,-1,569855,-1,289754,-1,499481,-1,-1,568096,611489,-1,-1,867010,479066,980784,-1,298462,465188,-1,-1,705768,-1,894766,-1,206791,-1,849311,885872,-1,933213,133540,-1,-1,97830,-1,466672,-1,570913,566223,-1,-1,690571,585853,133975,253713,-1,581690,-1,168807,733597,-1,583430,918255,146161,434870,-1,-1,231764,162014,450,693597,1418,586155,823586,-1,44131,-1,-1,-1,919622,582637,-1,-1,980946,-1,700278,-1,-1,314389,278389,-1,275717,293629,966573,270339,-1,384052,-1,-1,975237,690963,-1,191208,-1,429399,739947,-1,-1,23087,-1,702594,171108,179083,626450,-1,586779,684260,885585,175712,198383,-1,-1,-1,650080,774146,400257,-1,735907,794933,264528,-1,665177,575663,924258,-1,413072,79095,-1,721850,-1,-1,702191,643637,484055,112285,70361,-1,-1,930044,-1,-1,654703,189262,-1,-1,-1,756775,-1,-1,-1,-1,-1,-1,259292,-1,398751,718978,993581,-1,-1,113504,730219,-1,-1,-1,-1,509698,-1,253079,-1,-1,588672,653561,905605,-1,428617,978342,-1,-1,443088,-1,-1,284374,651184,-1,-1,686671,-1,720457,-1,-1,580157,190697,850082,771903,-1,103635,-1,-1,880048,-1,-1,730712,-1,-1,750689,268455,481968,436990,-1,128847,292015,-1,-1,-1,-1,950150,506542,545261,435070,487244,705794,-1,545029,-1,-1,-1,-1,896812,-1,582320,-1,662,934889,118722,-1,916782,152569,509090,556745,31000,780506,-1,127280,-1,-1,-1,-1,923600,393462,294199,901772,-1,-1,227136,-1,-1,83066,382665,608341,574705,656750,513596,-1,-1,-1,9475,590993,-1,-1,93022,-1,-1,124065,-1,-1,-1,-1,319897,-1,166415,275450,587248,-1,770565,467822,-1,368787,-1,-1,439656,241458,682888,478806,-1,938674,-1,638014,721402,-1,-1,-1,-1,-1,170433,609192,114215,-1,693182,769726,963318,327695,333746,-1,810912,-1,-1,-1,177017,733325,631548,290786,414926,477183,-1,-1,941612,537596,703314,420443,881743,951349,757710,57307,635742,-1,-1,722083,179810,485306,-1,-1,812330,-1,-1,-1,-1,281532,-1,398667,-1,-1,156262,-1,-1,144387,678116,743635,-1,247831,953890,77646,-1,484605,-1,-1,-1,423927,691306,-1,355617,749657,17495,-1,734384,407786,107240,-1,-1,928636,-1,-1,67365,-1,261808,-1,-1,-1,39881,-1,245062,390570,-1,-1,340273,858432,264757,-1,-1,61710,-1,333044,-1,425564,448479,918811,-1,309385,766395,987686,-1,-1,200747,-1,275196,-1,727416,424182,-1,-1,851430,-1,-1,-1,-1,-1,-1,-1,-1,263768,201805,666825,-1,-1,906968,520067,17862,71209,-1,-1,-1,-1,-1,-1,68701,-1,180892,-1,-1,-1,-1,192577,-1,624050,-1,674990,445826,637716,-1,-1,-1,-1,-1,294801,999374,-1,-1,-1,-1,165861,498009,-1,391815,-1,589884,-1,-1,625260,502898,-1,504373,-1,459099,-1,-1,-1,-1,248643,-1,-1,-1,-1,589903,593983,-1,-1,173255,568860,-1,-1,-1,696427,-1,1980,946279,465816,-1,398374,186033,531632,-1,966622,331615,-1,647284,665880,-1,-1,-1,-1,974095,-1,898696,-1,217033,-1,135819,-1,645786,784136,-1,935061,124225,276368,969875,516215,-1,979192,81078,-1,35674,-1,-1,-1,-1,-1,-1,-1,-1,126861,561082,442797,191692,-1,-1,147325,252636,-1,-1,7208,-1,-1,559755,-1,-1,-1,295244,158856,680855,-1,-1,-1,339544,-1,336064,-1,749757,978819,-1,672227,597416,-1,822232,-1,707488,565633,-1,-1,785138,-1,-1,681177,-1,-1,-1,-1,582184,-1,754041,922120,828247,7046,-1,404577,973464,-1,-1,635544,-1,-1,-1,-1,482226,-1,533271,-1,215146,233724,854964,912744,-1,715145,398021,-1,618385,-1,330702,-1,-1,558675,-1,-1,-1,460408,576999,-1,-1,655111,845132,112724,751210,160678,-1,-1,356577,-1,-1,208123,-1,-1,-1,617021,-1,766680,10402,-1,23487,505200,-1,-1,856024,-1,395038,842688,-1,-1,102973,-1,-1,779781,737060,48990,736785,-1,-1,-1,832501,-1,617186,-1,-1,341049,952318,-1,692456,-1,275028,-1,769215,613104,-1,459374,-1,907695,-1,-1,706409,801734,-1,648763,-1,-1,-1,-1,801630,47780,-1,258082,-1,447130,12556,96817,-1,94186,87170,-1,445737,784210,763353,-1,205376,153198,167516,128370,-1,-1,-1,463647,-1,532852,987667,-1,132886,597969,86687,-1,-1,774666,-1,-1,-1,18920,645698,-1,965370,-1,382477,-1,900617,-1,830925,-1,997443,515597,-1,749247,-1,-1,-1,133656,407401,129270,29654,-1,151919,679461,362183,-1,83256,207879,365735,593748,-1,897834,601933,-1,-1,-1,-1,298034,-1,-1,-1,915,-1,594373,817638,-1,659465,-1,700414,634025,-1,-1,438416,-1,378667,-1,587049,283983,-1,-1,-1,-1,289771,992801,-1,409862,903750,-1,-1,693165,-1,-1,-1,870146,-1,713088,285295,-1,818776,-1,-1,-1,57048,200565,7915,963110,-1,776847,-1,-1,-1,92089,62851,808955,-1,503762,983320,630821,759382,771133,697592,27347,-1,-1,-1,-1,465203,-1,-1,-1,-1,571580,-1,-1,-1,471495,140154,278885,-1,-1,330862,992366,-1,-1,618592,-1,785136,-1,-1,-1,420721,492617,155828,525630,747261,-1,-1,533331,481940,276780,486508,725336,-1,-1,397970,27799,119818,632230,-1,607573,341589,-1,254152,-1,506108,-1,705652,-1,-1,827607,-1,-1,565024,49383,64354,298982,-1,414038,416006,381933,663370,-1,-1,693967,-1,-1,-1,-1,850660,-1,-1,-1,-1,-1,580572,941332,-1,-1,9713,826721,107715,-1,951577,227291,119167,89517,-1,-1,-1,-1,-1,735678,-1,-1,571003,-1,202655,-1,-1,-1,-1,-1,188242,247911,-1,127741,-1,-1,760563,-1,-1,-1,782314,-1,658337,-1,-1,660311,480668,312186,-1,794167,894108,78965,-1,170089,-1,-1,-1,-1,-1,-1,-1,775289,-1,871340,-1,827246,272044,-1,543753,530956,-1,-1,-1,410396,-1,837072,681186,-1,-1,-1,-1,552675,-1,-1,537043,950278,-1,166638,-1,366059,5821,112527,857595,925835,-1,980776,885205,820540,847257,-1,701597,-1,-1,517261,-1,-1,-1,676046,-1,-1,572092,112811,-1,-1,-1,-1,360252,379531,409146,-1,-1,-1,708635,-1,235565,817937,-1,823764,716248,59869,552348,-1,974793,-1,745830,455254,423926,471786,381480,-1,-1,551953,-1,486369,848229,-1,-1,868422,70666,690005,-1,-1,-1,599362,865930,31842,947588,-1,861124,-1,157692,813160,35782,-1,-1,963701,-1,-1,886622,-1,-1,378357,-1,-1,-1,-1,-1,388698,323752,235827,-1,-1,124267,181656,334717,157887,835679,690625,533880,257531,-1,-1,211161,736403,-1,-1,820434,-1,-1,-1,-1,387017,-1,115545,393033,-1,939360,756676,11065,915196,-1,-1,-1,-1,399569,-1,731853,-1,143189,655128,392084,447392,636517,608379,567132,308218,469540,48693,-1,-1,596508,636231,97201,-1,-1,790874,-1,-1,-1,-1,-1,110654,256235,-1,197056,941027,900722,-1,-1,499992,263290,917295,-1,848433,-1,-1,-1,-1,372246,-1,-1,-1,850393,605871,83988,-1,174603,963999,-1,-1,921167,132373,995706,-1,-1,-1,367756,820507,-1,931711,379267,728434,-1,-1,825508,48591,-1,-1,794580,-1,982484,-1,-1,-1,-1,963729,537573,-1,-1,-1,-1,-1,29695,401788,-1,199378,455055,990233,-1,-1,132374,501258,44907,547616,188739,588791,-1,-1,226342,-1,-1,-1,5471,816431,-1,7140,-1,582948,516247,-1,-1,-1,-1,-1,138005,-1,522011,-1,433469,-1,848473,129294,-1,845400,-1,465677,-1,589409,498536,715918,-1,-1,102997,656768,-1,932292,69941,599294,39410,653734,436484,545782,827292,-1,-1,-1,77017,893317,-1,206174,702730,10355,965835,-1,-1,-1,-1,-1,985220,-1,-1,-1,34600,-1,-1,-1,-1,-1,-1,-1,359931,27180,-1,538694,-1,806439,-1,937293,-1,656647,-1,188253,-1,34106,-1,-1,-1,351746,-1,226346,-1,-1,400642,-1,-1,-1,663593,-1,412453,-1,-1,-1,-1,-1,612873,-1,637769,-1,52969,962530,614023,835895,77864,268301,-1,23844,-1,406914,-1,-1,-1,417498,-1,201511,-1,559266,47475,-1,438309,301577,-1,802543,-1,-1,108811,496642,-1,971783,-1,334779,520165,-1,-1,532528,-1,-1,-1,799452,568865,733043,32054,894350,-1,-1,-1,-1,-1,-1,747133,788209,456688,-1,679864,957294,-1,-1,337829,1171,-1,66858,276903,-1,-1,-1,376189,878350,-1,-1,694626,-1,101213,-1,-1,-1,744561,480125,-1,-1,748597,420494,703416,-1,169259,-1,703705,855490,-1,-1,522400,954581,-1,-1,668441,-1,977872,299768,-1,-1,-1,-1,430499,375499,695126,-1,433265,276230,-1,-1,842489,866202,992708,-1,272764,778370,897503,-1,-1,378996,95914,732377,84360,-1,869981,774474,799581,-1,-1,115311,-1,-1,480342,217773,-1,-1,-1,-1,-1,562797,-1,789939,38718,131974,888648,-1,436650,-1,558079,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,537098,-1,-1,872376,545216,-1,52576,683201,832691,150602,484781,-1,-1,817603,-1,815484,907001,-1,-1,-1,17075,-1,938990,526569,942242,86929,909167,845901,-1,470712,-1,-1,-1,-1,-1,797074,-1,-1,928428,526226,-1,-1,901921,638983,652915,-1,191289,452727,-1,-1,-1,577640,-1,-1,-1,517373,-1,54716,-1,-1,248518,296206,579678,723570,-1,-1,445683,460132,175503,120294,317533,-1,-1,35478,-1,-1,-1,861701,-1,246782,-1,705833,164284,-1,999457,268687,963170,-1,705636,505609,-1,-1,50275,-1,25884,501269,630944,684993,-1,-1,955120,508413,-1,-1,-1,579852,-1,-1,-1,502442,-1,396606,466963,-1,-1,646477,-1,133744,-1,574434,141177,-1,-1,-1,-1,111042,-1,-1,957519,377355,872166,-1,-1,60244,-1,998220,-1,746595,965523,-1,268322,-1,807142,64789,211030,-1,533696,814566,214342,706125,-1,590857,-1,185787,-1,397669,-1,-1,646793,-1,917786,604924,917439,877602,928384,-1,261611,-1,-1,992996,795066,-1,-1,499333,88287,-1,-1,878448,-1,-1,643846,557376,271230,718159,448525,-1,10404,-1,299580,140069,-1,28718,115028,-1,-1,838103,242172,399835,421845,532407,-1,-1,-1,-1,-1,-1,-1,979684,392519,405666,153860,-1,-1,-1,755077,-1,522091,-1,-1,587699,43519,-1,-1,-1,-1,-1,585461,-1,199599,-1,-1,-1,-1,553824,-1,604822,-1,90466,-1,-1,881858,310883,-1,-1,-1,-1,713602,-1,-1,-1,-1,-1,20431,902998,-1,-1,543873,-1,417389,45254,-1,825816,-1,192872,763811,-1,992398,-1,623666,252958,179007,659171,-1,-1,-1,-1,-1,-1,-1,-1,653204,716152,872933,-1,-1,-1,869818,-1,-1,-1,-1,649129,-1,235739,757592,-1,-1,655847,-1,40687,-1,502048,884939,955598,-1,-1,32198,-1,688104,-1,748953,412015,825770,609995,642067,-1,-1,-1,-1,897949,542867,-1,375069,602361,962626,983408,-1,-1,-1,106151,212569,119807,130799,406308,-1,-1,873291,322437,-1,-1,-1,717890,839002,-1,-1,537356,-1,435737,391053,824207,-1,-1,-1,343676,-1,574765,-1,368991,-1,826623,-1,-1,593302,233328,-1,-1,993858,15143,-1,668281,-1,860913,920676,-1,-1,602261,714963,-1,-1,-1,272471,63068,267899,277096,-1,541720,497138,-1,519377,-1,-1,-1,-1,-1,586918,70594,380515,492275,-1,643709,574533,-1,82941,51843,-1,-1,186639,241419,155569,-1,-1,100966,-1,-1,659075,523546,-1,544706,251406,-1,390588,592211,-1,-1,427623,-1,-1,925551,-1,-1,-1,-1,-1,-1,216573,-1,726644,57424,-1,462467,845178,82961,801172,-1,-1,186240,3427,-1,-1,258507,-1,746938,702080,-1,895078,-1,77645,147186,196613,576618,-1,-1,862655,-1,210962,-1,105033,-1,372133,-1,-1,-1,112486,644456,-1,-1,820245,-1,-1,979852,-1,-1,-1,-1,969105,-1,-1,200986,-1,437215,550046,-1,-1,-1,577677,836344,610275,-1,-1,263792,-1,-1,264060,406225,-1,-1,11771,313014,108559,458348,-1,-1,407280,-1,301069,985620,-1,-1,-1,-1,916128,-1,736699,-1,-1,-1,233412,-1,-1,862772,-1,131991,-1,251649,892617,691740,716526,-1,950019,-1,149262,-1,453480,-1,-1,-1,-1,697092,553050,879505,-1,36893,-1,-1,-1,804729,70959,346481,571085,738012,-1,-1,-1,680518,-1,620982,347496,-1,915364,256084,471063,844912,427447,-1,540229,778225,-1,-1,-1,-1,-1,-1,81134,-1,13891,544043,819209,-1,416110,-1,-1,-1,302394,891703,584436,-1,534142,63981,159284,451207,330084,335475,-1,276383,-1,32413,610231,688735,-1,-1,604409,-1,881782,792709,833166,-1,-1,114101,-1,174997,285647,-1,-1,-1,947452,-1,608518,-1,-1,-1,-1,818160,-1,-1,65528,-1,39145,-1,827305,-1,448627,463888,-1,-1,-1,703116,266866,-1,-1,263341,377076,400152,447594,-1,494174,-1,-1,96067,123506,-1,-1,577957,-1,-1,-1,752947,596743,236274,-1,-1,-1,299681,-1,672075,-1,-1,-1,-1,31304,-1,151165,997006,-1,-1,872823,-1,800050,-1,763391,79710,-1,-1,-1,685384,54791,-1,640037,835120,394061,-1,515720,151786,483066,192172,344885,-1,640200,837394,215497,691684,181634,206020,799540,-1,982024,-1,-1,-1,872167,913538,-1,-1,-1,745937,384853,768549,856988,674966,-1,-1,-1,690030,-1,-1,-1,-1,-1,-1,878589,102141,616488,-1,321176,655382,-1,-1,-1,951718,-1,299993,-1,234188,667,-1,839788,424251,578271,-1,483091,813453,-1,780512,114669,712305,-1,-1,867109,-1,799749,-1,-1,751323,-1,-1,302944,-1,681413,702088,328504,366934,784769,620240,-1,716679,-1,581982,-1,460496,881625,-1,-1,889527,-1,-1,216654,435654,308019,863924,-1,888565,894016,580602,977363,354641,-1,240396,15135,-1,612008,-1,-1,-1,-1,-1,41017,198519,276489,402769,60785,-1,-1,516019,527274,-1,559956,-1,740112,-1,-1,-1,484357,-1,372974,282177,-1,512664,394131,533987,186287,364852,485784,356179,-1,-1,925435,97225,190445,-1,308435,-1,899175,348059,310323,73761,-1,-1,621577,-1,327468,-1,-1,810414,-1,533490,280101,196470,-1,-1,-1,748994,482987,-1,998324,-1,248331,854290,158257,373839,-1,953794,187639,-1,566926,177291,209252,994539,497762,730025,593910,818525,286156,-1,-1,-1,-1,446698,564512,682121,121375,-1,956962,891048,-1,-1,-1,644037,587363,703552,74044,944158,-1,-1,-1,901564,35852,-1,991273,121712,756810,-1,-1,-1,-1,585361,-1,-1,631387,676901,370039,179605,-1,-1,-1,-1,7173,715544,-1,-1,331199,184127,-1,-1,847449,-1,139279,-1,-1,924896,621410,-1,511559,-1,581377,-1,948589,-1,-1,178557,408939,-1,247561,-1,-1,-1,-1,-1,-1,-1,270642,-1,461002,50546,277952,-1,-1,678039,-1,-1,224894,337127,-1,355329,-1,-1,-1,597360,-1,247169,-1,35950,-1,-1,-1,-1,60757,-1,-1,-1,-1,505922,888161,392299,316557,258898,-1,-1,157435,-1,-1,128341,-1,-1,120297,-1,887611,206056,-1,-1,-1,670989,-1,-1,647772,324831,324921,-1,-1,524619,855587,925186,6148,8611,900199,675327,-1,204733,793284,-1,-1,292791,891160,850988,950621,927602,-1,-1,241479,-1,-1,-1,81609,-1,-1,-1,-1,-1,-1,214818,116634,-1,664832,-1,-1,-1,-1,36019,912821,-1,259612,846024,-1,326028,-1,-1,-1,218399,515993,920030,263297,381349,-1,-1,-1,141701,176163,-1,-1,960457,195079,-1,922676,784608,264291,643414,691828,465506,144486,759773,-1,253504,946498,652843,-1,494339,664418,476185,-1,415974,-1,-1,34576,-1,914219,-1,917283,-1,548988,131210,228305,-1,-1,469948,335867,-1,328542,-1,62470,-1,-1,-1,78883,-1,-1,-1,109429,406881,-1,396853,175610,-1,148866,-1,-1,251042,-1,737973,-1,-1,-1,386141,789552,-1,984077,694795,2897,430287,704721,960348,-1,-1,267662,77102,-1,-1,-1,-1,-1,580740,-1,930707,925910,-1,590872,-1,703063,950143,94928,-1,762974,73051,296990,348768,-1,-1,456969,627661,175216,-1,-1,-1,-1,373360,-1,179344,-1,984058,-1,938332,145535,813859,-1,997807,358017,649262,-1,720865,636748,567664,-1,-1,894140,-1,-1,-1,-1,57834,733497,-1,-1,-1,685409,-1,-1,960824,723886,526378,303704,224982,906082,-1,-1,-1,-1,335487,-1,984298,602761,686351,-1,112638,-1,880854,965304,-1,440865,-1,772993,-1,746150,-1,256989,195320,-1,567609,498813,-1,-1,678551,87683,457124,-1,907192,-1,-1,-1,-1,188880,151409,-1,-1,-1,-1,-1,20620,-1,-1,755857,932525,340196,-1,-1,-1,-1,-1,677813,-1,616039,-1,-1,-1,987617,698209,-1,606826,-1,908650,929870,-1,-1,386412,990579,-1,-1,-1,227662,-1,303305,976304,-1,172460,-1,216447,518955,-1,-1,349883,715899,446300,313241,-1,200260,985075,983625,42588,514515,-1,-1,980287,788714,-1,432204,823312,-1,606665,360436,691884,927567,-1,572053,225348,829153,-1,-1,-1,168581,-1,-1,-1,319275,-1,483028,32600,-1,363890,-1,-1,-1,192294,-1,717963,333113,498300,189462,254181,-1,-1,320765,-1,-1,113600,950067,810372,668327,-1,-1,236112,-1,459149,998217,167569,-1,-1,75387,-1,59552,216648,886572,-1,-1,-1,472284,-1,-1,-1,820942,642237,-1,898393,659440,605149,260376,716685,274333,248502,-1,789723,531659,-1,-1,481171,944310,-1,760729,524202,88473,-1,293434,-1,952186,763258,148806,-1,857470,228242,-1,-1,677147,806071,-1,-1,-1,-1,-1,826,102051,-1,580937,-1,-1,319746,-1,76609,-1,389984,455364,624882,-1,951244,978021,292186,-1,-1,686370,609597,-1,630689,-1,-1,700507,355425,25805,-1,-1,579992,524245,-1,784299,444390,-1,-1,493556,-1,360232,-1,-1,-1,-1,722744,52874,-1,776254,108814,-1,821401,945838,637588,-1,529860,-1,962501,289759,-1,526693,209664,897186,99480,565977,467764,495495,-1,-1,-1,953104,161353,-1,-1,-1,-1,-1,851058,-1,-1,-1,-1,615279,223306,-1,837495,595519,303650,-1,-1,767371,-1,504922,-1,-1,713975,-1,526532,-1,163274,-1,342989,430072,-1,-1,141346,750042,-1,-1,584754,373609,-1,-1,-1,620703,933425,415475,-1,-1,-1,-1,810230,597821,545536,566536,-1,-1,105618,-1,924589,154413,-1,-1,-1,-1,-1,-1,-1,712512,-1,261875,77644,-1,634268,918821,-1,-1,-1,-1,952996,-1,-1,-1,473904,471995,871797,288093,-1,96046,139372,-1,521121,-1,980655,201420,-1,-1,-1,-1,863010,-1,-1,-1,-1,-1,-1,554176,68441,862093,-1,-1,228315,378255,-1,88456,769964,-1,-1,628765,-1,-1,-1,-1,880301,-1,-1,289999,-1,312452,112116,513890,301920,740276,527353,807322,585963,-1,-1,-1,31753,467887,604800,-1,614627,-1,-1,402340,-1,-1,292467,390505,892787,469871,-1,-1,-1,-1,194089,-1,-1,-1,-1,-1,389084,105827,113244,501442,460714,147544,590439,244458,-1,179475,-1,497657,612673,-1,-1,256532,166438,-1,209390,-1,158341,-1,-1,-1,-1,988228,587506,-1,-1,-1,561413,-1,499543,177027,957614,372908,414724,357241,562011,-1,-1,564746,-1,655074,432467,-1,187032,-1,-1,110334,-1,576568,111424,-1,-1,-1,-1,-1,-1,132398,534075,-1,396860,103700,411114,752105,575540,-1,19428,678099,-1,919164,-1,906586,-1,-1,-1,-1,686299,-1,-1,-1,923565,617071,-1,262239,197941,490142,21902,-1,903988,923714,669475,504519,-1,-1,-1,515640,-1,52047,-1,65807,-1,-1,-1,-1,-1,369596,-1,-1,-1,-1,-1,-1,537390,141257,429903,-1,-1,-1,-1,695866,-1,-1,-1,509576,605296,488216,-1,699824,-1,-1,492496,542834,144364,-1,492869,589074,-1,117338,-1,597274,-1,-1,536350,187180,197001,-1,-1,676491,4896,-1,983538,-1,780604,-1,780806,225154,-1,-1,318539,196193,-1,-1,77986,280670,919966,-1,-1,932195,752698,354993,-1,868686,-1,481291,532539,-1,657503,-1,686814,-1,-1,-1,-1,-1,690795,653726,851942,-1,60188,17829,-1,-1,343069,-1,-1,685866,134883,-1,-1,-1,590255,371533,483393,-1,-1,-1,972901,804579,637151,386560,-1,-1,450445,711421,-1,825164,987808,-1,86085,819902,-1,927700,890297,184109,-1,-1,360119,-1,-1,764462,-1,806760,-1,759962,-1,-1,-1,-1,848709,666586,980830,496490,7881,-1,-1,200810,-1,-1,936781,485873,-1,-1,610502,-1,634276,-1,480372,808854,669147,817972,-1,-1,471281,-1,-1,-1,-1,981828,-1,-1,-1,-1,-1,-1,654410,609400,223801,694393,422385,1831,595167,743791,-1,861485,904722,300041,132141,829733,-1,958770,-1,-1,-1,-1,-1,-1,805563,645728,-1,254140,626208,-1,-1,97646,559010,98442,559139,-1,396786,543206,-1,-1,721272,-1,-1,330880,327383,-1,-1,-1,318116,-1,-1,-1,-1,641625,-1,-1,452779,-1,-1,128026,-1,-1,521461,-1,414066,-1,-1,66660,-1,975746,-1,32701,186232,864370,-1,358331,142577,-1,134814,279273,-1,795940,838919,-1,-1,592479,-1,-1,-1,-1,-1,235934,490165,148023,192937,-1,-1,-1,-1,-1,597347,45187,55731,-1,-1,809860,-1,904966,871217,-1,-1,67137,624191,-1,-1,-1,898283,34140,-1,605224,53249,584759,882389,564828,576607,928567,-1,183678,814098,-1,583781,-1,291511,-1,683496,454966,-1,965157,946517,-1,-1,628085,-1,-1,919286,592451,-1,-1,-1,448310,728449,-1,655560,279299,439042,-1,-1,279605,-1,-1,-1,276756,-1,639643,-1,489549,163203,192093,521448,-1,811237,-1,355324,-1,118441,388077,-1,-1,126105,929900,-1,-1,538347,554547,-1,322957,216089,884854,-1,368770,95176,135577,362198,-1,-1,90965,-1,-1,577358,-1,524234,-1,311172,-1,732602,119420,928098,-1,-1,-1,-1,792098,-1,-1,783511,-1,566049,900938,-1,757121,816192,606458,-1,-1,432218,132460,121145,793910,-1,-1,-1,-1,554607,546602,-1,-1,284589,32227,855035,177878,-1,134393,-1,545080,237047,-1,237364,708293,-1,859085,179116,827297,-1,582476,-1,469864,243164,-1,489784,-1,676554,390899,162796,958236,161211,-1,244943,-1,-1,17853,986029,624007,-1,93950,140551,-1,408351,-1,-1,79331,-1,567925,178210,-1,-1,393627,-1,-1,494552,164644,931749,138967,742374,685700,-1,528530,323436,-1,313500,686640,-1,966147,131400,693865,-1,435687,417860,-1,-1,69959,-1,-1,-1,614665,-1,288323,302319,111229,552509,900448,348587,157838,-1,-1,-1,-1,563953,-1,141853,371472,761088,797456,626145,-1,894339,-1,-1,996679,-1,344257,406901,-1,871146,212755,141331,-1,852683,64115,494201,-1,-1,487169,334261,435362,800234,-1,187175,-1,-1,97463,-1,-1,-1,-1,-1,251252,-1,405498,-1,208367,-1,947505,-1,335331,312331,-1,70767,-1,-1,-1,-1,951308,-1,-1,-1,128711,-1,-1,-1,-1,-1,196529,404503,974034,438122,690218,625389,-1,219497,-1,-1,-1,-1,82188,-1,617439,-1,219832,895608,-1,-1,-1,547112,846286,-1,224683,-1,-1,220008,484253,-1,-1,-1,950047,-1,149611,715321,-1,414572,-1,-1,-1,885216,-1,-1,966785,734855,92339,-1,334060,139194,490911,-1,272099,-1,268698,436594,-1,-1,-1,460605,927222,826186,921439,176961,105878,-1,-1,718815,-1,452664,-1,773346,811094,202183,646625,674570,306626,-1,599876,664017,162225,755338,-1,623986,582202,-1,465082,-1,499064,-1,-1,539132,-1,243211,490797,-1,-1,-1,840225,898071,997563,792178,-1,-1,217790,-1,167819,-1,-1,317652,-1,-1,-1,-1,439173,954004,472939,-1,797644,499395,737040,-1,741539,-1,-1,48820,954744,-1,-1,-1,909720,-1,646275,-1,122945,678633,745643,-1,-1,-1,612161,-1,549131,145509,970211,-1,-1,-1,546058,717002,-1,-1,997094,647433,600881,-1,274651,-1,-1,-1,-1,546648,-1,-1,-1,327241,-1,-1,-1,879056,-1,-1,766720,159620,-1,71327,421035,-1,-1,612747,855508,82833,837499,-1,-1,-1,477264,258233,-1,-1,869594,510910,-1,230880,-1,-1,-1,845493,415523,-1,-1,87581,644204,-1,34627,-1,61463,122559,-1,-1,-1,549960,886523,-1,529742,509948,-1,35213,888439,877409,-1,707670,-1,858874,-1,55428,342361,393073,116836,122101,758088,901822,261224,866652,364178,386290,244350,654649,737274,405162,-1,729250,848924,539332,-1,631396,973111,120169,877011,-1,936844,-1,-1,950289,-1,359337,80821,-1,320470,-1,-1,-1,447864,501144,-1,684547,-1,879701,-1,703170,-1,-1,583968,621273,-1,-1,-1,-1,-1,-1,-1,973870,-1,-1,678998,-1,821206,89996,-1,-1,-1,-1,-1,387305,541458,372914,-1,-1,865077,-1,757844,151537,577875,328710,591972,392839,284146,815562,-1,123575,84714,-1,-1,-1,973751,660107,-1,-1,238155,256594,598287,996743,646890,320626,837972,-1,715405,887725,393747,-1,246608,-1,306390,187444,25546,127385,-1,269391,574066,692438,-1,-1,-1,40414,442320,349493,-1,901055,-1,870180,-1,-1,-1,937241,-1,-1,-1,-1,543,141689,400797,24069,-1,-1,-1,901872,157450,119867,-1,145313,619716,96653,-1,796026,-1,-1,685439,-1,-1,248203,-1,-1,41579,553350,982094,221952,-1,-1,62602,545318,-1,-1,-1,-1,-1,143166,296925,-1,-1,112908,898392,-1,71568,-1,277852,622255,413381,-1,686474,855610,734482,582639,159185,449181,823162,993439,948555,476911,-1,434339,-1,-1,-1,-1,-1,528371,316238,474395,-1,39573,755448,738637,124314,167272,-1,-1,993961,140884,-1,-1,-1,-1,392583,33917,748537,973188,-1,585090,74857,-1,207230,485902,929845,-1,139804,-1,964555,-1,378049,-1,49127,660274,454719,1775,683184,961854,405242,758151,237394,498401,48417,578154,525501,-1,730627,628591,-1,-1,-1,51797,343998,769351,464845,824156,-1,-1,-1,541919,-1,-1,628098,-1,534161,-1,353105,-1,-1,-1,-1,688396,625773,194612,-1,124808,303260,720713,-1,-1,690872,616008,-1,-1,-1,328374,520577,892008,751410,-1,6739,731540,689988,-1,763168,-1,-1,181972,-1,-1,-1,256005,609451,-1,50011,601017,553122,-1,58475,775126,-1,40017,161473,-1,-1,462306,-1,636867,375484,281425,176968,-1,-1,85242,867528,-1,937363,-1,-1,712327,-1,499432,-1,797965,340976,-1,-1,66134,-1,990070,-1,227618,-1,115478,909683,981723,-1,677470,323472,18583,-1,-1,-1,847887,-1,343260,763580,701323,-1,-1,206116,976770,-1,-1,-1,-1,-1,160589,-1,-1,-1,-1,-1,-1,191980,-1,348892,482485,-1,-1,271671,-1,536442,959747,162064,-1,761580,114541,-1,274489,839200,-1,890266,395216,440296,71245,-1,-1,408167,558924,-1,-1,50359,244483,349017,792811,492844,437805,-1,-1,-1,774012,-1,-1,-1,464690,510005,780831,732959,598376,115269,-1,541306,302883,30962,-1,-1,-1,86432,-1,460071,369163,-1,837109,-1,-1,381617,4836,569269,762348,-1,425363,457002,947725,-1,622794,757517,102257,200168,928290,-1,608691,503709,473183,219665,23496,568919,-1,483602,-1,-1,-1,-1,573635,739041,-1,439352,858632,-1,151492,-1,676350,-1,-1,789016,-1,-1,-1,575804,20080,-1,500566,612120,935728,645380,582068,373738,-1,713918,763159,-1,342996,-1,636923,-1,576508,184270,-1,-1,374376,-1,974114,-1,586444,415104,-1,-1,844445,-1,36966,133107,956074,-1,353666,625679,-1,44321,-1,940242,-1,717031,-1,-1,359717,322745,-1,193346,700673,274064,-1,-1,-1,491861,-1,272267,-1,-1,632606,840999,102232,-1,-1,-1,-1,934783,229908,245154,-1,-1,813648,212320,28845,-1,-1,843815,-1,-1,-1,578377,322954,7812,-1,400094,-1,133654,-1,-1,974437,-1,-1,94003,-1,-1,-1,713595,450979,214348,-1,180514,38586,772998,-1,-1,113035,737991,-1,-1,-1,759278,-1,264188,749400,-1,-1,730995,-1,734706,90484,324541,84128,-1,-1,-1,593297,590476,-1,969892,-1,567618,352845,399750,482797,538429,366661,-1,-1,116779,393333,132063,282349,971256,465229,660365,-1,-1,-1,740449,-1,-1,-1,299251,711196,-1,601438,-1,-1,157608,636257,172027,-1,-1,632569,445960,42089,384713,673467,-1,-1,-1,-1,49021,100497,974498,941933,902049,775468,-1,-1,277840,-1,719481,-1,-1,-1,656170,-1,858039,-1,-1,-1,732184,165239,-1,-1,414777,-1,528135,513684,-1,851716,-1,-1,817203,-1,-1,-1,-1,-1,-1,-1,-1,276735,-1,179671,886869,885265,906186,688630,-1,-1,970004,-1,843582,445744,687269,182312,26507,139006,-1,870071,-1,967255,-1,-1,-1,-1,-1,263429,226755,318897,286728,-1,-1,-1,-1,-1,-1,-1,716015,-1,-1,134485,-1,-1,913611,839062,533329,-1,723569,-1,-1,-1,15524,504239,-1,726372,616881,465187,-1,-1,779575,-1,902622,641630,-1,-1,-1,270994,691880,-1,809249,-1,66128,-1,-1,-1,-1,-1,335949,329646,-1,-1,397355,-1,-1,-1,882596,410677,-1,59117,-1,318395,782724,135473,436853,-1,-1,-1,381346,834744,-1,979913,961968,512036,-1,967465,24716,127101,-1,-1,511475,-1,669887,-1,-1,-1,-1,721944,124576,569504,-1,217620,-1,690199,-1,-1,-1,-1,-1,-1,-1,786466,-1,-1,-1,682194,-1,767413,794319,-1,560083,57449,-1,290763,-1,714481,-1,455009,-1,944823,573791,-1,528121,-1,-1,167274,-1,-1,-1,-1,-1,365306,405076,133409,3065,-1,-1,-1,511461,638632,-1,477701,512481,-1,397484,-1,-1,-1,321886,609027,940918,336897,12571,817890,-1,-1,859167,-1,-1,461995,-1,-1,-1,855455,-1,618294,-1,454881,212210,413779,-1,463850,-1,822586,-1,253189,159570,-1,-1,-1,-1,-1,-1,-1,719088,262284,344267,-1,-1,-1,240925,-1,464084,433400,-1,669171,-1,97584,114455,412267,-1,337273,240213,-1,370413,-1,-1,50988,889435,-1,-1,660773,811760,431461,-1,-1,-1,424670,404881,-1,-1,872602,-1,702341,-1,710246,143849,-1,-1,-1,843714,-1,874110,-1,992047,-1,-1,-1,-1,233578,457290,-1,-1,-1,-1,-1,865034,603406,-1,-1,592754,738477,-1,-1,907665,663330,-1,-1,127698,-1,784910,57327,-1,836675,962841,-1,-1,637302,-1,-1,784080,298170,-1,-1,621335,938410,841601,-1,-1,73857,-1,-1,984700,-1,-1,516645,623148,-1,258458,-1,-1,491334,358124,-1,-1,-1,177839,277834,456661,582958,862561,-1,-1,-1,-1,856656,-1,47344,-1,799227,-1,-1,-1,-1,-1,-1,-1,-1,382767,661372,-1,266142,-1,-1,-1,239821,385270,206159,-1,177166,-1,-1,91486,462277,240550,-1,512626,524561,-1,58488,-1,923415,408633,552765,159889,-1,-1,65642,-1,323,-1,-1,-1,977585,-1,554855,-1,-1,39869,127327,-1,885950,-1,656429,2891,-1,-1,70613,-1,-1,-1,675449,881516,-1,730750,50968,-1,-1,-1,928370,559573,-1,565220,-1,424651,-1,-1,392136,-1,282955,-1,-1,-1,493952,-1,148014,-1,739054,-1,-1,-1,-1,690439,-1,-1,-1,555092,-1,-1,-1,-1,-1,487056,-1,-1,241405,-1,-1,267868,350367,2379,798006,-1,-1,-1,206411,881838,-1,-1,-1,946562,683146,92794,113583,197721,547610,-1,-1,-1,678073,-1,654880,233348,-1,-1,963752,570808,806846,788679,-1,777103,903305,-1,45596,563086,-1,-1,385958,-1,-1,862229,-1,-1,-1,723076,-1,127886,179373,221973,493399,-1,-1,772526,884958,868190,560200,-1,-1,106771,-1,-1,562057,59093,-1,-1,-1,-1,802514,378807,408164,-1,-1,-1,736254,-1,479707,-1,571781,710687,52405,971020,774188,265846,-1,485439,-1,-1,-1,-1,-1,-1,-1,860061,36861,-1,-1,939574,-1,-1,512091,-1,-1,-1,-1,860193,-1,-1,994109,-1,-1,-1,-1,135555,-1,737680,867462,847403,-1,44697,-1,-1,691283,32506,846467,448259,363407,690141,761883,-1,-1,-1,-1,-1,242525,388843,-1,798387,132536,-1,-1,977348,-1,841098,832802,863570,381313,662568,-1,-1,-1,665811,169865,319738,-1,21440,395884,832616,-1,447846,-1,177524,-1,954842,850844,-1,-1,673943,351682,-1,-1,-1,-1,-1,-1,388793,465078,-1,-1,488672,962518,-1,294041,443666,208603,215225,-1,-1,105004,491863,-1,-1,-1,-1,-1,638415,774394,-1,-1,-1,340889,604200,187533,-1,135461,986159,737932,599897,900847,504709,-1,437198,701306,268254,472744,182598,-1,-1,381845,-1,471124,-1,-1,821307,157329,-1,-1,366304,583009,-1,636459,-1,-1,759442,-1,701272,-1,-1,216094,495375,950069,139398,286168,-1,406778,948801,-1,955211,289652,590420,251858,-1,958841,-1,-1,-1,-1,-1,-1,-1,996007,381010,832383,624327,-1,918840,-1,-1,835884,-1,-1,-1,256317,324049,-1,610889,253157,-1,941714,203841,837311,-1,79826,428809,142440,888540,-1,-1,-1,-1,-1,449256,460878,558129,605835,-1,391850,-1,-1,-1,633104,952418,348087,-1,-1,-1,33607,-1,457211,877478,247392,-1,514668,-1,-1,-1,454811,54584,-1,-1,618412,943011,495059,-1,-1,-1,760247,390507,-1,433617,-1,433111,-1,-1,-1,802925,-1,-1,498303,703101,-1,273052,-1,214664,628739,245589,217650,-1,-1,708892,260629,-1,-1,-1,614598,199001,432299,579207,410145,959264,-1,-1,-1,207198,-1,741868,234156,-1,271885,472337,-1,-1,821906,770486,143136,757342,332762,-1,-1,951507,-1,-1,-1,-1,782177,205432,-1,-1,-1,-1,-1,-1,6910,-1,705576,724921,382068,780167,-1,-1,950256,-1,-1,441533,93147,-1,-1,-1,-1,465540,-1,52111,822700,883442,796684,-1,996886,570877,-1,217367,-1,-1,-1,-1,867070,-1,-1,-1,144372,-1,-1,-1,88754,-1,-1,657791,566532,447978,853314,-1,-1,-1,793566,380903,-1,-1,-1,-1,514681,249191,-1,-1,478908,-1,697060,-1,44617,589436,-1,146009,479828,435698,-1,344568,-1,652796,-1,-1,-1,714245,-1,-1,-1,-1,622978,434453,-1,123216,417142,-1,129549,49791,135113,286622,841758,-1,-1,-1,-1,196944,-1,308032,599962,777776,262910,776704,18976,-1,-1,-1,-1,741711,490941,947066,-1,-1,504487,139337,-1,938522,672731,677752,730137,-1,621692,-1,-1,-1,581221,-1,788569,-1,-1,10142,-1,604564,687094,772723,564174,952802,-1,-1,46162,426245,-1,659334,-1,360942,-1,-1,979674,-1,352026,-1,976867,-1,127029,476667,-1,515454,739186,-1,-1,-1,-1,558460,408950,-1,-1,-1,141892,167036,-1,-1,678066,-1,189410,597325,855105,818801,-1,-1,-1,-1,-1,753916,-1,551935,-1,-1,-1,-1,671543,284762,787131,-1,-1,-1,204262,-1,930860,-1,-1,-1,897169,-1,-1,-1,-1,707185,803749,926636,684277,172133,654610,-1,-1,230920,936453,-1,258428,-1,-1,-1,774065,-1,661674,-1,-1,443199,379053,-1,-1,-1,216100,196313,246609,-1,-1,791384,-1,513534,-1,-1,-1,737711,-1,673270,-1,-1,-1,-1,-1,912955,-1,831819,773655,-1,-1,612760,-1,-1,-1,969973,119613,381302,-1,240664,190404,224941,531442,706456,-1,792392,987418,-1,415693,-1,558679,171495,-1,369050,-1,677391,283850,-1,-1,608119,-1,-1,573906,550257,389842,-1,-1,731984,-1,40028,350752,-1,-1,68304,939450,898906,72541,-1,236474,787707,22333,-1,-1,-1,-1,895789,-1,97767,190395,-1,194913,468536,-1,-1,-1,823089,123540,855260,-1,-1,-1,67864,-1,586176,890039,423691,-1,559444,-1,-1,685282,-1,-1,-1,-1,343940,-1,-1,-1,753105,521876,367850,191462,-1,601360,-1,-1,-1,-1,-1,346977,-1,-1,-1,-1,-1,-1,988267,778766,987797,-1,-1,502043,266976,37453,804288,997977,-1,-1,-1,22558,-1,-1,-1,-1,-1,-1,235730,312558,-1,63900,582178,-1,418869,-1,-1,-1,347750,792503,99286,623611,-1,-1,-1,-1,596287,-1,-1,30010,-1,-1,607846,-1,-1,-1,-1,441162,-1,483261,446053,610431,272015,260146,-1,996734,-1,-1,479311,-1,-1,690306,744218,-1,688184,-1,663449,459562,964189,254435,877805,-1,689098,-1,263150,446984,706311,-1,-1,-1,-1,-1,781845,-1,47963,799025,-1,-1,50385,-1,-1,244122,-1,365312,583242,631308,686517,-1,449114,-1,-1,-1,824664,-1,-1,552766,573677,-1,564644,961637,-1,-1,911293,-1,-1,408210,372109,307375,-1,-1,545455,-1,319099,483732,219417,856678,576456,-1,-1,702492,-1,465572,-1,-1,770206,-1,-1,-1,905737,-1,61970,574704,-1,-1,924343,390949,-1,20594,279655,403727,199448,-1,915342,351971,55336,-1,556478,-1,-1,127572,940471,537979,-1,-1,792446,60427,-1,165078,-1,-1,-1,-1,-1,348466,-1,-1,-1,256398,-1,-1,161664,-1,-1,521264,-1,991265,64819,715628,-1,-1,531433,242913,441292,-1,179230,893792,-1,797548,657336,468169,30765,158713,904537,861327,430217,-1,-1,38222,-1,397574,-1,-1,93912,173918,-1,-1,-1,-1,-1,303051,999781,-1,-1,-1,932281,135642,670141,659758,-1,861610,56209,776442,-1,231581,536061,-1,-1,1703,-1,715529,704308,-1,43071,-1,188269,-1,-1,-1,432761,-1,95986,-1,-1,65773,-1,-1,-1,-1,835795,-1,128258,588217,317555,906147,-1,407136,-1,-1,-1,984534,-1,611429,889940,-1,198730,-1,-1,-1,-1,-1,-1,57493,-1,779804,798626,275748,-1,-1,-1,-1,-1,502723,190384,-1,-1,525769,-1,338666,-1,-1,-1,848607,-1,552468,-1,-1,904405,-1,-1,-1,533975,179884,-1,-1,-1,-1,32152,-1,134068,-1,649432,-1,-1,-1,-1,121441,769684,807889,22724,938281,603582,25393,898655,424589,537816,884764,842709,218577,123587,81909,920617,894440,-1,962188,655401,-1,467721,587779,-1,-1,-1,-1,-1,-1,287204,871679,695893,648797,-1,706505,-1,-1,-1,-1,-1,-1,599952,132269,-1,-1,596099,937851,-1,-1,-1,130080,-1,889431,-1,-1,-1,421083,713242,-1,-1,-1,97839,-1,-1,-1,27675,-1,-1,855562,-1,701659,950809,-1,-1,509796,858515,-1,-1,-1,978116,-1,172356,-1,-1,89778,-1,-1,472344,535485,798096,-1,277965,-1,692739,334618,886352,-1,952421,-1,-1,-1,788625,479156,96623,857375,-1,-1,616703,-1,-1,-1,-1,205016,744741,-1,769739,-1,127800,320821,926558,-1,97422,-1,-1,-1,403358,590201,-1,-1,-1,-1,108655,-1,-1,-1,483586,112268,781084,725908,-1,252901,-1,-1,720501,354281,744714,486352,-1,754601,-1,577061,-1,-1,859676,-1,-1,-1,-1,247776,-1,-1,736454,-1,-1,-1,986834,413591,266656,456892,-1,-1,964954,807380,400636,751402,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,184662,61774,-1,32682,717490,278295,821859,10529,-1,-1,-1,-1,-1,-1,-1,910536,34085,-1,5167,624512,947837,-1,-1,821178,265312,-1,-1,903934,29326,843476,-1,197956,975421,469224,103097,718763,636093,944884,914133,-1,935318,-1,-1,308367,-1,182454,-1,-1,354308,35365,-1,267736,-1,-1,-1,-1,-1,-1,-1,-1,269556,905382,-1,-1,71948,-1,606516,-1,-1,-1,-1,-1,971329,894798,756737,-1,899264,-1,959183,-1,-1,-1,100857,-1,-1,-1,975506,902863,-1,560606,807604,-1,175058,-1,646386,-1,-1,394966,-1,-1,-1,420500,438937,327065,326323,80205,426277,619620,988534,166874,-1,529122,-1,407835,-1,-1,446520,-1,-1,435084,-1,825349,941265,413363,-1,81028,202286,113838,-1,777229,-1,441911,647764,-1,131030,44416,-1,571486,-1,-1,683568,202247,-1,-1,811381,521323,-1,-1,570448,-1,-1,-1,-1,89698,587775,758653,-1,-1,-1,82323,-1,-1,20213,-1,-1,-1,213279,467455,84893,-1,402972,-1,376452,150824,-1,-1,652636,859405,833914,48401,583311,-1,845002,-1,371534,-1,-1,-1,215909,56684,463109,765269,727583,675493,212158,257509,289538,-1,766236,325703,-1,-1,-1,674697,-1,497469,-1,964411,214215,863561,388022,501762,906191,820769,123459,-1,-1,855064,-1,-1,900410,954475,639697,-1,-1,391710,-1,344025,-1,-1,-1,841302,848466,885706,-1,-1,-1,-1,-1,-1,-1,-1,-1,351906,380304,158118,302658,-1,-1,602274,354658,290875,801653,609170,620063,-1,-1,259073,-1,128787,-1,-1,-1,-1,4120,938611,-1,857269,602657,-1,33979,-1,647029,492048,989643,897784,-1,309669,553838,243262,20947,832574,-1,539191,-1,138379,478052,573164,543638,-1,-1,863081,724922,-1,229864,499583,-1,-1,660447,227445,11758,-1,272803,351548,-1,813001,645377,-1,526246,123140,189716,247912,-1,274207,103144,-1,-1,786286,103197,-1,511528,674971,-1,-1,-1,532967,357104,385298,-1,35628,-1,253490,-1,248222,-1,-1,149779,771991,702122,846550,-1,737066,-1,-1,982342,450930,-1,-1,386298,-1,-1,-1,-1,871981,-1,576836,-1,492003,694917,-1,188573,-1,62303,-1,364575,781440,-1,-1,538107,-1,-1,-1,121362,-1,-1,-1,-1,-1,933227,-1,-1,-1,-1,-1,360095,-1,211689,369826,-1,-1,324600,-1,639738,-1,411412,-1,-1,-1,-1,-1,-1,-1,580239,-1,291780,-1,-1,780163,858675,-1,-1,361639,-1,864869,506358,630517,775097,406738,73116,-1,561286,-1,179294,-1,-1,-1,117433,614855,-1,-1,-1,361405,-1,-1,549270,-1,-1,875415,-1,-1,-1,294847,974431,-1,-1,356075,-1,-1,848904,988586,652647,482597,393793,-1,-1,-1,-1,139133,694160,-1,-1,-1,-1,-1,499591,-1,-1,-1,-1,-1,568243,-1,861360,-1,510232,-1,892938,9691,187184,-1,559927,76860,-1,431530,458510,-1,800333,-1,957196,-1,-1,-1,-1,144268,-1,-1,-1,-1,430128,94368,218422,-1,-1,755108,-1,729645,-1,998233,-1,506965,-1,313665,-1,-1,-1,719083,957184,946902,-1,-1,-1,611183,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,465744,217551,-1,-1,-1,882273,66021,-1,-1,978041,815142,-1,-1,871527,705109,159021,596813,-1,-1,335344,784935,-1,711388,-1,-1,523946,1306,-1,733691,410811,678530,899977,859533,440851,519476,-1,-1,121848,-1,720421,-1,-1,426112,439481,855699,854708,-1,211053,288238,441726,-1,-1,399924,664786,-1,-1,123371,-1,645370,-1,-1,709734,-1,-1,-1,-1,-1,-1,458235,-1,-1,-1,237702,114385,-1,-1,176475,-1,175496,982199,241717,304370,-1,555850,-1,219041,647111,-1,972738,-1,-1,540272,-1,580133,-1,676763,384668,211164,-1,847996,390134,556507,-1,101329,-1,-1,86959,264004,-1,402097,700702,-1,654034,-1,459729,-1,-1,592860,-1,-1,961123,-1,452149,813676,-1,-1,-1,-1,453566,378522,232034,-1,165010,112970,-1,150544,-1,55351,-1,484160,740669,-1,709133,827547,636492,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,980684,223350,326795,882661,916389,422611,898286,105920,-1,-1,422871,57045,232527,188240,761181,-1,114776,366909,395508,-1,645144,940180,-1,941774,-1,686917,-1,634574,102265,372802,545327,-1,-1,-1,-1,102686,-1,-1,232929,451361,-1,-1,567643,-1,660921,-1,486209,-1,487539,690043,-1,951444,-1,150388,974088,-1,159835,-1,-1,601185,87694,917868,-1,-1,976265,477750,548762,238685,-1,-1,-1,-1,888964,103696,658742,165402,203942,973412,91868,-1,209778,-1,-1,-1,235614,-1,26896,943472,-1,548575,607356,642678,-1,-1,-1,403504,577690,-1,629758,292778,917416,885712,-1,-1,-1,493624,56188,-1,-1,661156,470012,107229,86472,349710,-1,351545,940287,-1,-1,366216,-1,633691,-1,-1,241557,-1,-1,127526,-1,430254,862490,-1,-1,549172,-1,760326,-1,678441,-1,84813,82922,-1,-1,-1,-1,790317,907648,-1,-1,-1,-1,-1,-1,-1,-1,93180,357737,4382,933691,-1,-1,135836,-1,-1,-1,322733,-1,-1,-1,978401,-1,-1,-1,320282,642343,-1,594350,910808,-1,456914,-1,-1,-1,822667,891799,775651,647919,952520,-1,-1,760569,281900,194843,303723,-1,795379,836619,-1,462090,-1,563161,-1,-1,606358,-1,-1,378010,-1,-1,346453,992703,296855,-1,-1,-1,-1,299970,349663,280434,970662,197665,628794,-1,-1,778956,-1,953031,-1,58746,935764,28888,828758,-1,980910,82149,483092,346811,-1,-1,-1,490542,474835,-1,-1,125310,644396,163749,-1,-1,196434,-1,-1,-1,332916,-1,548097,666076,-1,44153,-1,684646,-1,-1,579224,534939,-1,-1,-1,187126,644943,431288,267243,879124,995783,-1,-1,-1,-1,-1,-1,-1,611213,89047,591382,-1,6558,398271,752295,-1,-1,181704,644723,37185,239175,849469,-1,486719,292954,106667,867251,595732,-1,-1,-1,364217,924749,-1,-1,-1,812250,-1,-1,679440,-1,-1,294771,33518,-1,-1,-1,716327,997404,233662,-1,187510,-1,-1,985686,-1,585008,-1,-1,42299,590175,-1,-1,934841,763587,-1,501706,536741,-1,-1,-1,-1,-1,503738,547679,232677,-1,-1,726727,-1,64936,-1,970121,-1,-1,524310,-1,-1,-1,981443,-1,-1,-1,-1,396200,782116,-1,-1,623318,-1,-1,668312,-1,658156,-1,-1,-1,-1,598202,738054,486806,708372,435388,-1,244951,100785,-1,-1,-1,656165,89912,777755,-1,-1,354337,148035,-1,-1,625838,13463,-1,763302,-1,232804,-1,319692,-1,-1,902078,-1,-1,849634,-1,973288,228120,943356,-1,587890,140474,783909,694806,-1,-1,-1,-1,150659,860232,352184,84138,874064,-1,-1,-1,-1,-1,-1,309081,275995,277499,-1,135757,595946,-1,721180,173906,691429,746536,237806,-1,404777,379311,690777,-1,644343,30602,911862,-1,-1,-1,893306,86590,360630,-1,-1,-1,382097,304250,-1,-1,170635,-1,-1,994031,66943,-1,-1,-1,956653,244174,646774,-1,-1,296656,-1,627220,-1,-1,-1,412919,-1,170775,-1,-1,-1,-1,403871,800321,188778,225632,482943,-1,571734,447651,-1,-1,-1,540211,-1,-1,915566,-1,-1,202663,405418,-1,53768,128971,-1,-1,-1,-1,-1,277572,178269,-1,-1,-1,-1,-1,710002,-1,-1,891886,873437,293667,225366,-1,558819,465986,-1,561539,-1,878287,824655,546143,-1,85291,-1,561059,-1,112108,589532,677938,675816,387318,-1,571911,845536,319280,-1,-1,781951,33252,-1,333488,976787,-1,159855,-1,-1,460232,-1,-1,-1,415880,889653,-1,13607,414123,58054,704659,640309,-1,-1,-1,-1,909195,-1,720679,-1,-1,-1,448926,854145,939868,914755,-1,-1,448988,513750,-1,-1,-1,-1,-1,-1,162391,-1,206905,53244,-1,995158,-1,717931,101857,-1,813074,-1,608761,412251,-1,-1,674416,780129,73010,-1,-1,56675,678171,-1,-1,-1,424027,50571,131078,830990,796708,-1,715850,-1,251195,-1,225580,-1,-1,-1,937136,-1,838751,-1,430699,-1,-1,-1,26934,-1,804259,238708,814090,370163,-1,-1,-1,793601,-1,275375,404347,623558,794744,886697,-1,436403,696630,726449,501760,-1,266197,831620,884380,-1,-1,-1,484679,-1,467141,-1,-1,-1,-1,988705,710825,787713,980279,-1,387687,161806,-1,-1,-1,-1,-1,425513,690153,894460,-1,-1,-1,-1,923833,637117,96612,-1,-1,915883,-1,578676,763240,-1,-1,-1,843796,138414,408965,663945,-1,-1,301672,26373,774046,-1,-1,-1,838743,-1,-1,-1,-1,-1,553844,-1,103100,512015,-1,-1,-1,772407,-1,-1,-1,-1,548053,868291,-1,770384,369673,-1,136721,-1,-1,769822,-1,688125,641757,-1,-1,-1,548815,6703,-1,8120,768391,256440,-1,-1,-1,-1,-1,223107,62238,920390,-1,-1,561313,968658,10084,-1,-1,827858,941242,-1,612439,973189,-1,518318,-1,982582,854083,981275,667316,582197,427630,611890,967268,806826,867436,820462,194364,547404,-1,899778,-1,674113,860140,-1,481425,777095,588236,542477,-1,552812,-1,485954,721531,-1,-1,768728,-1,-1,675982,687222,138082,529181,-1,279567,434605,-1,149933,363951,-1,-1,-1,-1,284710,37996,926703,-1,483172,72167,-1,146175,-1,-1,-1,-1,-1,-1,-1,883272,729486,-1,-1,108230,48831,-1,-1,296723,364737,-1,-1,-1,-1,-1,687524,-1,-1,486807,-1,25278,111920,-1,-1,267546,-1,22978,916480,-1,-1,-1,-1,523961,-1,180405,-1,-1,-1,415126,-1,-1,836230,774484,-1,381726,553163,-1,-1,212036,25623,216872,347258,127112,896015,937920,-1,-1,747495,-1,214050,462198,306740,446149,-1,178896,-1,756259,718074,442402,342396,-1,-1,-1,-1,-1,-1,-1,-1,236392,-1,591108,746108,-1,-1,381805,765166,246142,-1,165155,-1,468888,-1,119804,475440,-1,-1,756652,197312,511104,-1,-1,765318,-1,776939,-1,369690,833215,-1,166797,-1,963337,-1,-1,-1,-1,-1,183427,-1,-1,-1,294691,752991,-1,854386,842883,-1,265291,571771,-1,357694,-1,-1,-1,-1,-1,136761,-1,-1,-1,117685,333981,-1,-1,517499,-1,694291,164434,691650,-1,922740,-1,891036,518493,625187,47152,-1,760511,-1,-1,664077,693800,381419,425820,203304,-1,-1,-1,570337,558119,851667,413454,-1,-1,-1,85968,981428,225380,255023,407698,894508,-1,793674,40953,-1,-1,-1,862437,-1,67198,851788,-1,-1,-1,-1,-1,-1,-1,-1,600660,768931,-1,-1,114144,250150,115265,577777,-1,535762,359674,-1,867438,980624,734102,-1,-1,-1,-1,-1,-1,-1,-1,496341,-1,-1,-1,753479,606609,-1,-1,-1,-1,-1,173318,763677,675587,669580,-1,-1,-1,629482,-1,-1,382475,913699,-1,26893,-1,-1,-1,444829,-1,-1,640755,-1,-1,-1,-1,467888,30046,-1,-1,32390,712780,-1,320169,-1,-1,-1,76082,-1,167009,434712,818039,593500,93154,413669,588992,-1,-1,531213,547889,294705,860060,501036,494586,-1,805997,634069,-1,162374,832397,-1,-1,825141,863671,268586,404563,-1,184481,62419,-1,216630,-1,-1,-1,409061,115277,-1,-1,-1,-1,-1,-1,846629,538334,-1,717121,463445,877408,958348,709675,631315,-1,722204,660126,-1,58584,106236,719796,-1,-1,682178,-1,-1,697736,-1,-1,-1,-1,404046,978456,436619,323150,162200,11984,302800,-1,796066,-1,699218,-1,-1,-1,-1,88376,909779,-1,-1,578315,-1,964139,256913,44041,786841,494712,-1,700943,301464,-1,-1,20760,968508,655612,273286,118297,419,-1,-1,-1,-1,-1,-1,-1,221406,404222,610079,488063,196026,-1,582488,903084,-1,-1,579842,378837,566958,836329,-1,-1,80800,-1,314432,974452,349291,-1,14745,-1,498901,-1,535258,837794,-1,378774,702653,890884,-1,-1,-1,-1,501881,800668,905394,-1,-1,-1,812306,-1,223452,974048,358058,-1,-1,936677,-1,-1,-1,-1,714080,-1,136933,941638,586233,819699,321629,-1,897918,-1,513466,-1,-1,-1,242112,484496,-1,617309,767406,-1,838165,-1,156660,-1,394950,407168,194689,-1,-1,301061,-1,-1,607364,800237,519976,327762,-1,570744,-1,-1,-1,-1,71109,-1,441988,-1,878440,-1,799148,-1,950989,-1,90741,205114,-1,444241,-1,-1,-1,-1,226106,-1,-1,687231,268581,777302,-1,-1,-1,128943,961713,111432,-1,702587,894934,-1,-1,-1,816571,-1,-1,-1,79903,-1,293026,279054,243323,-1,702335,242942,931886,-1,-1,-1,-1,-1,489326,-1,-1,-1,678627,216844,-1,-1,-1,99189,840878,263351,320113,652857,-1,-1,347222,196138,-1,-1,-1,552397,-1,965547,577518,273496,-1,243454,385185,503275,-1,111526,-1,794483,-1,-1,309417,32324,-1,342112,742533,476696,987876,-1,518704,-1,936104,-1,693965,-1,-1,-1,-1,592435,-1,490746,-1,-1,-1,931356,-1,565923,-1,-1,246384,-1,-1,521474,728104,-1,178281,439643,-1,375243,-1,486069,462176,582100,-1,885861,-1,-1,-1,-1,-1,891436,607700,134088,817209,18446,-1,811999,786234,-1,-1,136004,-1,-1,-1,664443,-1,-1,830037,777787,-1,987007,-1,-1,481490,-1,820185,989860,-1,-1,360395,591905,418886,335125,-1,-1,387445,-1,-1,472644,89724,-1,-1,826126,-1,-1,918600,-1,-1,813945,946805,-1,-1,-1,92702,715413,-1,320749,587785,584685,820248,578790,572868,-1,-1,-1,-1,-1,957631,457130,523487,758406,-1,739448,-1,-1,79665,-1,187381,-1,-1,698160,-1,82186,-1,-1,373785,-1,-1,585575,-1,102534,-1,690373,316752,-1,195565,-1,-1,-1,963578,-1,-1,-1,-1,-1,144706,454516,240401,-1,-1,-1,687541,427131,-1,947238,340655,69417,686070,-1,492377,402899,766267,-1,-1,520013,890376,-1,581525,653843,-1,196175,-1,956249,-1,-1,-1,273204,-1,329429,189209,-1,-1,223055,828239,-1,-1,112777,549640,899663,498196,989747,858095,-1,-1,-1,58458,-1,380561,-1,-1,143391,-1,318619,-1,549190,-1,913281,-1,621621,667877,762080,420281,228388,922981,410680,-1,901143,-1,-1,228732,984349,242532,576785,264819,-1,295960,297119,13206,-1,-1,-1,-1,335093,856878,925314,816471,248208,782464,-1,-1,-1,-1,-1,58535,-1,642093,-1,-1,400751,-1,-1,108924,-1,176595,829730,-1,546734,787009,-1,-1,116154,28966,669261,-1,181987,827208,-1,42964,-1,751715,985201,279633,-1,782617,-1,864231,526724,232763,-1,-1,-1,-1,-1,-1,722518,-1,-1,-1,-1,-1,-1,719765,537375,-1,389820,-1,505542,522045,221517,341810,-1,-1,-1,-1,-1,942515,-1,-1,562946,-1,-1,358909,-1,162397,797139,-1,-1,525929,-1,705756,-1,699301,-1,-1,-1,343028,764984,-1,156967,767652,79682,-1,847395,404571,507180,725987,904900,338298,864218,645707,-1,-1,993678,-1,-1,-1,326180,184249,-1,344010,-1,-1,-1,-1,-1,154897,136958,307059,366842,-1,689401,-1,180622,-1,-1,-1,-1,-1,852146,892221,321117,608623,333790,738453,-1,-1,-1,956109,922901,-1,-1,208978,884732,838154,935407,171955,-1,-1,-1,181188,-1,828497,-1,-1,517049,655723,-1,-1,946652,-1,998844,674546,289559,-1,830044,716517,134171,-1,-1,588311,430905,729370,586468,973770,-1,-1,647502,86830,-1,131690,-1,45754,-1,246949,12151,-1,959693,121048,-1,633510,753021,-1,-1,-1,451098,-1,461465,-1,-1,553462,404642,-1,865813,511443,577561,-1,-1,40569,-1,767111,14900,-1,-1,-1,657098,209580,947995,337099,460296,-1,575185,-1,61778,-1,-1,842412,-1,174298,465773,-1,-1,775586,965812,-1,-1,654833,498031,99463,629413,776328,-1,-1,-1,-1,-1,189396,-1,710172,305456,880394,164270,-1,-1,934140,-1,-1,961554,389192,-1,-1,497799,588115,-1,-1,-1,-1,-1,143935,480746,-1,944846,-1,-1,-1,314585,323999,-1,705026,728979,-1,-1,701514,-1,-1,-1,-1,-1,558948,-1,-1,864226,-1,625441,-1,661301,96452,221941,-1,608851,195275,944838,986793,-1,-1,-1,-1,-1,-1,840730,627210,165582,-1,434923,-1,-1,-1,-1,904273,963335,-1,206498,-1,85152,-1,460963,-1,-1,-1,188377,34783,-1,569274,-1,79782,844796,163526,886876,-1,610807,214076,533122,936933,688477,-1,178050,-1,610050,937762,349020,621312,-1,349494,-1,-1,691778,868957,525584,852212,684735,-1,728472,240341,-1,-1,204836,-1,352086,48345,812508,-1,117186,-1,-1,394507,468775,-1,-1,-1,678972,770344,-1,-1,280280,15697,474704,-1,347393,-1,-1,45524,906154,711101,680614,-1,-1,-1,-1,-1,361538,55010,932783,584387,943509,-1,-1,-1,513523,798129,550896,-1,-1,669268,-1,-1,566724,-1,-1,475999,-1,-1,-1,-1,-1,25091,809736,-1,918416,-1,339367,-1,-1,501444,-1,-1,533376,-1,-1,-1,-1,352875,-1,869555,-1,927756,150528,-1,-1,216581,-1,-1,-1,254618,-1,358784,230448,-1,972643,-1,773833,-1,941419,-1,674627,847932,-1,792342,-1,794604,939185,-1,-1,-1,-1,-1,799965,-1,800548,25582,-1,-1,-1,-1,-1,759613,-1,748852,-1,370086,-1,-1,-1,307449,210257,-1,37004,895137,56922,396815,299143,94668,162363,319808,-1,139304,-1,-1,-1,-1,958774,230132,-1,-1,605517,-1,-1,600738,-1,975846,604440,823700,237168,-1,-1,132596,-1,-1,-1,-1,-1,-1,87161,448053,-1,985127,-1,-1,710091,-1,-1,183346,-1,272288,662635,-1,-1,96430,-1,327577,-1,-1,-1,-1,-1,-1,-1,391345,271311,-1,461191,78907,-1,905063,-1,-1,-1,255753,-1,-1,-1,244784,586076,-1,-1,-1,533838,814506,-1,-1,550596,-1,280720,605738,849401,329870,60346,-1,381990,-1,-1,250646,595168,603164,-1,-1,-1,-1,493853,229219,-1,-1,197590,952102,644603,807634,455174,-1,858376,-1,158947,-1,73740,286796,241350,-1,-1,-1,-1,-1,1893,-1,-1,-1,609359,531988,97473,468895,691237,-1,456592,225625,-1,31624,-1,554842,-1,-1,-1,-1,-1,-1,181636,-1,110797,163241,-1,-1,-1,-1,-1,756784,682060,-1,344479,755576,958778,-1,-1,-1,738604,723015,-1,264820,585424,149326,-1,421568,899961,-1,-1,8530,-1,-1,736490,239921,83694,-1,910437,-1,-1,-1,457051,438682,276852,182797,265102,821028,859764,-1,-1,-1,685852,995663,771122,922369,542976,-1,108353,-1,-1,99404,-1,276912,-1,483304,-1,273728,-1,348555,-1,-1,-1,226593,690957,51286,-1,313233,242504,234648,-1,721927,-1,-1,-1,666587,771914,-1,972298,-1,354435,-1,598659,408307,-1,898758,777137,513771,493191,701826,-1,-1,94241,431687,616919,-1,382145,505723,-1,26354,232418,-1,256900,683475,147222,337440,131905,706790,-1,-1,798475,362891,693519,743790,-1,-1,-1,-1,603428,-1,406479,-1,-1,6230,649031,542752,-1,955655,-1,-1,-1,449176,866422,117006,313200,745883,35923,-1,510460,182452,-1,940170,675757,-1,-1,18531,142678,409440,-1,-1,900498,945931,255670,748104,-1,-1,-1,169929,82482,-1,-1,506006,434452,860855,-1,633531,-1,-1,538219,-1,-1,-1,360557,308356,334166,-1,675152,548689,-1,-1,727965,-1,834115,-1,-1,-1,880611,-1,-1,363480,-1,-1,-1,-1,257024,-1,-1,-1,-1,223051,955049,664340,404611,320515,-1,373751,915702,209280,393624,-1,-1,701756,306924,967804,935066,498858,-1,-1,307335,-1,747623,-1,-1,-1,777548,-1,11040,-1,518687,10185,-1,-1,-1,550072,-1,-1,-1,338733,287226,518640,723415,545594,-1,288355,774631,274712,-1,-1,202280,813782,409809,393386,-1,393174,503202,694502,152584,442223,332817,763227,292669,485623,-1,866684,-1,-1,-1,165296,-1,233144,-1,-1,90602,875769,493140,-1,-1,303429,-1,761066,427480,348589,-1,-1,735983,-1,992970,874664,125593,-1,-1,269242,-1,-1,-1,351091,871875,540861,946749,153177,-1,631541,-1,-1,-1,460808,509555,-1,39126,494028,845937,-1,-1,502119,-1,-1,795449,296120,-1,-1,211767,34793,-1,-1,479504,-1,455448,439246,-1,563726,920254,153745,803938,-1,759045,896449,-1,-1,33715,417435,-1,740501,-1,562694,304538,693146,431231,-1,644108,918341,835543,322260,725583,-1,-1,-1,-1,-1,-1,-1,115651,79134,-1,37902,106680,468043,-1,877096,-1,-1,-1,199530,224966,904921,-1,-1,673578,-1,-1,-1,-1,-1,-1,-1,-1,239422,-1,-1,-1,-1,252841,934872,-1,872531,-1,-1,-1,215334,-1,904638,-1,-1,725742,251672,-1,714004,-1,718123,328768,-1,-1,479055,84392,951847,975782,300106,-1,98562,-1,-1,877276,-1,-1,467230,-1,525340,666328,-1,541682,-1,243491,312073,509465,-1,344418,289203,918634,-1,-1,530665,-1,-1,-1,745327,-1,-1,77097,-1,446452,-1,-1,410961,192876,53840,602846,830301,-1,758942,988358,-1,-1,236019,-1,942561,222580,-1,-1,-1,84327,6637,993595,209254,-1,891638,-1,-1,-1,471490,724730,744413,518664,170619,912840,-1,254291,915037,151731,-1,-1,-1,453112,-1,432688,-1,574575,607299,143187,-1,402952,-1,821103,245495,-1,773381,832004,-1,-1,-1,-1,140463,-1,215991,213270,90256,-1,864021,448295,-1,-1,-1,591477,-1,239339,-1,-1,218133,-1,718529,-1,-1,462335,-1,-1,-1,858679,766065,618364,88124,521674,971981,654585,802234,971493,381326,100367,61113,-1,-1,-1,-1,428490,759430,-1,588390,689082,-1,745188,-1,-1,678500,-1,12519,246530,-1,-1,-1,-1,743898,-1,393861,-1,-1,-1,437867,-1,927705,724622,-1,-1,409331,858378,577317,128310,-1,258904,891567,-1,937556,-1,-1,-1,433960,420062,365444,911526,95387,-1,-1,720546,378082,870685,-1,-1,122184,-1,300532,78103,580095,-1,-1,-1,341425,786460,110036,130281,490215,-1,-1,398123,866288,-1,-1,-1,-1,564332,367723,932492,-1,-1,-1,-1,-1,659766,350199,-1,141216,-1,585312,100816,808172,-1,104332,868787,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,799910,859587,-1,-1,-1,8845,755410,357848,348637,562653,-1,-1,-1,160397,68491,583793,257401,-1,780570,506945,319055,-1,169680,730690,175900,-1,748177,-1,29677,441262,-1,153693,700620,-1,872527,-1,-1,941727,63335,12140,-1,908620,855041,342035,533302,-1,434968,-1,713115,-1,-1,-1,-1,-1,-1,-1,229394,-1,-1,996498,796230,-1,928818,335805,-1,-1,810574,-1,-1,-1,969260,-1,548747,154921,-1,286820,-1,-1,-1,-1,539575,-1,797653,563700,-1,385098,855108,315172,327150,-1,193244,670698,-1,-1,502549,-1,-1,-1,72523,-1,-1,-1,-1,-1,-1,92016,632221,299305,-1,-1,739520,-1,240716,865478,929963,-1,509116,994113,510962,-1,947533,213987,-1,-1,546352,-1,495276,-1,280179,-1,-1,780600,-1,223733,-1,-1,242667,556669,-1,268315,-1,-1,-1,317925,528003,-1,-1,-1,-1,-1,-1,794229,-1,963437,242148,427286,-1,-1,338789,638264,-1,-1,-1,-1,-1,861277,305555,593195,742736,772242,687925,-1,877980,-1,-1,-1,-1,45082,-1,523441,679813,-1,983672,-1,577669,964039,383644,227315,473389,969812,-1,-1,-1,-1,585379,-1,-1,-1,717359,-1,-1,-1,-1,256851,811224,278653,-1,-1,-1,-1,-1,776888,-1,713748,-1,947899,76253,909675,669534,-1,-1,-1,-1,32608,-1,617159,865967,684083,950404,72615,-1,351381,-1,484709,223805,442145,944267,730575,-1,452172,-1,551217,-1,33031,-1,224437,256199,-1,-1,-1,-1,868885,-1,-1,-1,-1,72525,840128,-1,162026,-1,295096,-1,-1,-1,-1,58784,-1,-1,293543,-1,9693,280546,811317,-1,303352,-1,-1,474653,-1,640424,69037,-1,-1,-1,-1,956206,841109,-1,-1,-1,-1,652424,-1,36700,-1,813698,-1,-1,-1,-1,834833,-1,-1,-1,388656,969533,624059,-1,381104,59254,-1,787116,339767,913906,-1,-1,997569,-1,-1,-1,-1,905952,768859,-1,528067,918525,331630,-1,-1,90534,-1,304362,-1,542137,-1,-1,459868,-1,-1,493857,328196,606244,-1,-1,289021,980211,327115,-1,922973,917955,895843,554690,140847,400358,-1,125078,-1,-1,-1,363433,635710,546201,247486,-1,758132,-1,-1,221465,-1,83441,-1,-1,852211,-1,527005,-1,-1,-1,63460,-1,-1,366953,-1,-1,125998,-1,909728,901603,416782,893644,-1,-1,-1,-1,278191,766233,149824,-1,-1,552616,154244,-1,838554,-1,-1,-1,-1,-1,723403,-1,393495,-1,371870,-1,-1,-1,-1,362251,-1,593816,667443,817418,952827,27689,-1,-1,-1,556873,102063,596273,53227,526803,989470,864250,839707,301848,729006,29603,-1,945825,-1,-1,-1,334443,-1,-1,-1,193418,-1,-1,450973,641910,-1,-1,-1,-1,615571,-1,945444,-1,702897,-1,-1,-1,483688,5022,412011,-1,254473,717037,-1,-1,-1,676604,-1,618736,-1,-1,-1,-1,-1,-1,-1,153647,612899,333269,-1,726404,-1,-1,630670,-1,892486,-1,24491,501911,555859,26597,-1,871548,813963,118895,592578,115408,-1,120505,889250,554503,670571,-1,-1,750818,260881,-1,658594,140225,-1,-1,-1,-1,-1,-1,352356,972390,-1,-1,890418,-1,-1,287097,-1,517533,615634,-1,-1,-1,-1,841988,-1,55183,-1,-1,165891,-1,434858,34735,283786,961537,-1,213009,386379,745349,-1,-1,89577,126284,7434,285746,-1,-1,312869,66908,-1,553271,136551,-1,147059,244054,-1,-1,-1,-1,194043,-1,-1,3321,84671,514029,765525,-1,-1,-1,-1,693697,173888,-1,-1,-1,-1,501728,-1,504436,482155,948729,-1,-1,940852,-1,617112,589344,-1,810534,-1,676526,864623,-1,-1,-1,51865,630045,-1,-1,35568,204258,778554,188892,-1,-1,-1,-1,34558,543893,-1,-1,-1,-1,206771,20806,-1,-1,-1,-1,438466,-1,14530,-1,37785,411492,797729,737694,127263,-1,759765,673363,390543,-1,-1,-1,-1,756267,332564,272828,-1,-1,478741,-1,108948,596739,52028,-1,-1,-1,372514,951566,475913,-1,624116,12563,-1,32088,-1,-1,310146,-1,929456,542489,149927,-1,613321,22920,-1,786942,-1,-1,-1,-1,36142,790894,801712,-1,985173,80534,758187,-1,-1,-1,15081,737771,414132,-1,993106,-1,404310,502576,-1,648445,817870,292320,288663,-1,469192,-1,986994,369280,272419,-1,-1,414378,-1,213182,319044,142758,-1,-1,899568,442256,-1,905361,209553,192591,-1,814299,-1,-1,66975,527759,774102,797997,-1,801082,-1,409836,-1,-1,-1,530401,-1,851672,-1,-1,661031,147942,403036,-1,362279,-1,-1,877172,-1,-1,-1,166750,-1,766862,-1,-1,120838,731674,-1,823264,141581,24529,-1,425421,773721,885829,880987,-1,-1,-1,-1,-1,62353,-1,377682,-1,-1,538056,262052,-1,760331,-1,-1,747927,169210,466291,-1,338912,-1,-1,-1,788760,-1,-1,-1,97847,-1,352739,-1,-1,421673,529555,-1,102793,-1,-1,961866,517115,506899,475617,4839,-1,-1,962510,-1,342692,950937,997287,-1,433467,654670,-1,-1,-1,8599,629828,101853,160342,-1,-1,568393,-1,-1,574928,-1,158566,488467,-1,-1,124963,430684,-1,852586,72693,-1,517259,-1,-1,320044,-1,668351,448261,876035,418739,-1,-1,113727,884503,-1,200932,324192,687584,-1,-1,61604,660540,-1,364417,-1,-1,770279,-1,-1,414976,-1,677891,-1,-1,-1,774270,649370,-1,96659,679587,450811,-1,-1,-1,-1,77979,-1,108617,156506,-1,-1,248290,-1,26313,200925,871763,-1,-1,692763,61648,360607,-1,407569,-1,661396,-1,-1,-1,573,-1,-1,-1,-1,51224,279074,992867,-1,194262,-1,-1,858186,-1,420028,-1,890765,-1,-1,-1,-1,-1,-1,244427,-1,826323,785746,-1,804418,233792,-1,-1,-1,-1,976052,-1,565612,-1,479751,-1,671369,675780,-1,209721,826769,665316,813185,-1,-1,321320,335643,-1,-1,397108,-1,-1,52109,-1,759284,837330,-1,-1,-1,833018,261699,300320,893958,-1,-1,634589,-1,944797,-1,890554,-1,-1,52828,841736,848993,421908,-1,-1,557601,622345,631997,-1,-1,-1,647067,-1,777382,-1,-1,-1,-1,-1,118989,190363,-1,164548,-1,-1,679588,-1,58735,-1,-1,-1,-1,-1,-1,-1,-1,368640,-1,-1,-1,-1,-1,511585,72632,-1,965632,-1,195499,-1,786021,-1,965776,-1,866002,99954,536035,274704,927252,-1,-1,605984,355422,-1,525183,684671,-1,264331,-1,156738,-1,-1,-1,723980,-1,-1,909736,-1,638782,-1,-1,-1,792247,-1,139211,199187,693654,-1,900015,526356,-1,843053,805156,471713,-1,139233,-1,373125,18350,-1,-1,-1,788735,-1,-1,-1,153124,-1,28792,678360,-1,-1,5050,579880,240277,-1,9022,92111,-1,650522,977288,-1,-1,-1,-1,877676,-1,-1,-1,746518,-1,717744,-1,865021,-1,-1,440899,-1,-1,-1,112848,-1,-1,752888,-1,420638,877675,-1,564428,548094,712359,968376,-1,-1,610718,384849,-1,452352,-1,738595,791085,-1,48669,326467,945149,-1,-1,-1,397651,341219,-1,-1,-1,960113,-1,-1,372174,-1,293983,227292,679948,-1,32287,-1,-1,94994,-1,282129,243068,444025,-1,-1,-1,688652,945777,-1,-1,898507,543055,-1,-1,-1,864969,697926,-1,-1,-1,-1,-1,-1,808708,926988,-1,639187,801669,-1,682313,-1,-1,513376,644540,-1,-1,-1,-1,-1,-1,-1,495379,443545,-1,-1,-1,-1,998627,-1,-1,484109,563346,717480,192841,-1,903227,654524,-1,-1,-1,-1,-1,-1,-1,-1,-1,12236,-1,-1,-1,402348,827129,211878,668773,-1,-1,355185,987504,784059,40123,728781,-1,396412,-1,-1,321892,297227,505381,-1,-1,409498,-1,660337,303466,165226,258729,866764,-1,-1,-1,-1,-1,346463,-1,747109,594274,778645,-1,63014,268422,-1,773983,-1,-1,871213,-1,618461,-1,131401,671343,772779,120626,223372,-1,-1,226973,-1,646580,606159,-1,578043,-1,149094,-1,-1,-1,-1,-1,-1,-1,485660,746562,505470,710191,-1,-1,-1,-1,425084,679849,578214,-1,835354,-1,122509,784707,-1,-1,-1,-1,469555,31879,591995,282664,382747,153166,-1,215386,617891,-1,-1,-1,740038,604048,-1,820177,658474,-1,511589,-1,947583,-1,712653,-1,561296,634232,-1,109612,-1,-1,-1,301940,367384,-1,-1,-1,-1,178231,38958,-1,61556,-1,-1,-1,376757,313980,847651,-1,717428,864062,-1,-1,832897,-1,234364,152975,770235,904542,921456,273552,25368,-1,864489,-1,282264,-1,-1,863669,-1,-1,-1,405052,-1,551481,-1,183667,-1,-1,-1,-1,-1,-1,-1,-1,598774,-1,922021,-1,-1,202703,-1,-1,-1,778231,30373,-1,-1,-1,425824,595826,-1,-1,-1,321395,-1,551297,-1,11996,950398,-1,-1,628584,-1,-1,-1,-1,-1,612107,-1,-1,-1,-1,-1,277046,22447,766783,856392,-1,-1,-1,-1,945052,771869,-1,777099,61900,-1,346228,976980,-1,-1,-1,-1,-1,-1,715935,666600,-1,-1,747992,894425,246572,-1,-1,237698,408251,-1,-1,98457,-1,549299,-1,-1,-1,410104,-1,-1,278942,-1,247589,79460,698830,-1,-1,-1,609683,288655,-1,46856,-1,-1,-1,-1,120024,-1,478348,-1,-1,-1,542478,-1,565569,27248,-1,-1,927691,-1,-1,-1,11588,295212,-1,-1,-1,325209,601266,-1,-1,216386,-1,-1,-1,954144,355568,267258,429730,767398,936560,904510,-1,122629,500200,-1,360445,-1,498253,698791,-1,501018,-1,-1,422177,-1,-1,-1,-1,590207,177819,-1,537178,139892,-1,-1,250040,24426,241158,-1,-1,-1,-1,-1,-1,435507,-1,-1,-1,-1,-1,21907,-1,-1,76404,301286,684328,767628,133063,594410,903608,-1,-1,20659,-1,530874,-1,954610,152224,796934,-1,-1,-1,-1,163729,-1,616542,-1,556605,949256,-1,301174,-1,-1,140724,-1,-1,161709,734941,-1,-1,319050,-1,243936,-1,-1,645989,175086,-1,-1,150821,238134,220407,-1,-1,391949,529854,722267,330486,793146,-1,466450,-1,-1,521817,-1,-1,-1,83500,-1,37535,842107,-1,-1,-1,-1,-1,858974,347883,-1,-1,-1,-1,37387,17290,-1,-1,887238,-1,361056,906110,-1,249272,462624,435109,705464,-1,-1,927052,487139,-1,-1,588778,-1,430245,-1,843528,-1,920988,50052,-1,83572,-1,-1,-1,645619,932535,519419,-1,-1,816789,257662,179950,88634,-1,233394,-1,-1,-1,962108,538942,703013,-1,144907,-1,-1,-1,330340,-1,394052,-1,-1,-1,-1,-1,-1,-1,23644,-1,-1,-1,-1,-1,-1,-1,-1,164949,-1,-1,456874,825479,448609,-1,930084,-1,-1,889629,-1,-1,769534,-1,86794,-1,-1,186342,943842,-1,-1,180580,983093,-1,-1,474630,905142,336839,-1,-1,-1,-1,-1,234015,83488,-1,-1,-1,-1,-1,312977,-1,-1,863702,48769,861098,-1,-1,-1,523585,-1,-1,-1,-1,-1,-1,-1,-1,683764,592755,-1,58520,273526,-1,-1,-1,-1,-1,-1,-1,-1,557674,669337,-1,665324,244021,-1,-1,-1,326686,141082,-1,910405,832731,-1,711981,119031,-1,287271,342128,-1,483075,-1,-1,410700,142995,-1,494396,-1,-1,-1,295828,-1,-1,75946,-1,-1,-1,-1,453673,442313,850456,-1,735076,159832,385000,946370,-1,-1,944625,463515,-1,-1,310798,582522,-1,188764,747065,984154,313267,-1,-1,-1,-1,951166,-1,285734,343843,-1,-1,-1,-1,296448,679028,-1,-1,-1,-1,-1,394046,126987,305609,-1,367937,-1,831001,-1,-1,-1,-1,724778,401158,-1,-1,790088,-1,381640,-1,-1,-1,-1,635073,187915,-1,-1,-1,-1,200419,517341,179045,-1,-1,-1,958026,-1,642430,103559,49695,916403,-1,-1,981463,108504,-1,376141,-1,-1,234515,-1,338690,-1,-1,261553,768059,434818,955990,321652,-1,-1,908350,267624,893088,318785,93259,538098,510697,160676,211658,674331,396349,-1,-1,-1,287320,83279,-1,992985,618212,268715,-1,954086,-1,-1,333736,363268,921584,97417,67755,658749,-1,-1,776000,-1,781870,825052,333024,-1,-1,-1,426272,-1,-1,612821,85521,7952,-1,-1,883438,137987,-1,840456,-1,-1,895569,944179,764315,944872,207486,305353,-1,999903,-1,986996,307191,607194,-1,-1,-1,-1,-1,964817,662579,-1,-1,21973,-1,-1,-1,676879,-1,692821,147424,-1,-1,88822,-1,173678,856525,-1,378858,766108,774312,-1,-1,-1,642410,994177,-1,-1,-1,299592,531852,965617,-1,891279,-1,280737,180429,713526,859273,408557,-1,595981,244966,-1,938888,-1,832817,316280,383068,987609,549411,-1,225932,767704,-1,-1,-1,-1,43401,-1,567616,7078,-1,918769,-1,-1,-1,-1,-1,528508,-1,611664,391845,-1,279253,684282,135669,-1,-1,436391,159195,946188,998884,276439,-1,191796,459714,18682,-1,392907,689299,585933,-1,531172,-1,205262,-1,110470,-1,-1,936317,-1,-1,351732,-1,128519,137651,-1,985305,-1,284708,439840,196230,871168,78220,-1,-1,561029,691976,-1,-1,818447,850072,-1,-1,569862,-1,-1,766077,345560,923263,399283,148171,810560,-1,-1,124285,40725,-1,-1,59526,375658,419157,-1,-1,787004,726514,438256,896048,-1,289995,237460,-1,500343,-1,-1,870381,103573,34658,-1,-1,779961,-1,603105,70082,29966,-1,-1,572471,-1,959573,-1,-1,-1,225603,393085,-1,-1,757828,210783,-1,140947,-1,742660,-1,-1,-1,-1,-1,543751,160877,463766,12535,651623,-1,510629,-1,513975,889934,403816,645978,-1,-1,433438,-1,726862,-1,345546,-1,-1,-1,449085,333205,-1,-1,717162,638258,-1,63209,-1,302382,-1,-1,-1,491107,667164,844687,-1,540968,223536,435462,59211,157620,167563,-1,658431,780418,-1,290899,654733,-1,-1,-1,-1,870028,876011,-1,-1,377952,460681,231392,631943,-1,-1,226072,-1,530953,692883,-1,-1,733309,389618,-1,-1,-1,-1,-1,441320,-1,-1,127485,321580,-1,-1,-1,-1,244607,-1,531002,884826,432959,-1,-1,226554,864543,-1,-1,237942,-1,736749,-1,373624,-1,479382,-1,-1,303475,534880,-1,269183,-1,-1,351438,553082,92519,404516,-1,-1,-1,694320,-1,-1,-1,749998,502989,-1,963597,199018,993096,726238,939294,26949,-1,-1,-1,389170,-1,458860,-1,445102,240936,193239,-1,605384,143546,-1,-1,808381,164118,-1,-1,-1,875928,-1,-1,-1,360135,-1,268788,-1,-1,695784,379897,840841,-1,-1,-1,816279,-1,106365,821924,-1,990850,997599,688822,-1,-1,287859,185502,-1,-1,-1,-1,391989,-1,60213,-1,-1,608053,-1,-1,-1,-1,317754,108874,851467,-1,-1,503498,-1,-1,333777,387796,-1,-1,-1,220036,-1,575290,-1,672077,607721,416255,906370,621109,-1,912919,834397,-1,-1,-1,-1,-1,775229,-1,-1,-1,-1,-1,692403,-1,982483,-1,-1,949044,967195,356440,774274,-1,-1,207632,403589,27561,-1,305873,38959,-1,-1,-1,-1,165810,-1,-1,-1,981470,-1,-1,288683,383232,-1,381362,-1,-1,-1,-1,-1,-1,271516,-1,942274,-1,600366,980531,-1,-1,-1,-1,849349,-1,794281,-1,-1,-1,-1,-1,-1,588200,-1,927333,217571,930037,-1,264271,457476,-1,-1,719052,-1,-1,-1,566234,-1,656079,-1,961661,645464,826198,824586,127657,368289,-1,124885,-1,108189,667524,882697,482820,-1,-1,469188,-1,-1,-1,-1,496759,648109,-1,-1,24137,552620,522064,772162,394148,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,880532,275672,-1,538989,-1,-1,168556,-1,-1,-1,-1,-1,-1,540060,-1,-1,495823,733514,452330,-1,-1,730861,819105,528864,151479,541282,-1,-1,425652,-1,698243,516149,-1,-1,834365,441111,679860,-1,-1,801678,73162,848772,-1,-1,-1,-1,283652,771790,-1,-1,-1,51082,-1,341507,-1,-1,336566,792893,-1,975873,-1,764533,526917,999509,779112,-1,100712,-1,781909,315234,582227,-1,-1,848400,-1,-1,-1,261491,-1,91623,-1,177793,935321,-1,426910,868268,772020,-1,99902,408591,696940,-1,191866,74924,-1,457675,404524,-1,975610,592956,-1,-1,776419,53922,-1,278267,-1,-1,-1,-1,-1,-1,-1,138680,952949,593896,-1,444663,905117,14233,-1,-1,182347,596402,244250,-1,-1,-1,477866,704755,-1,-1,153397,476652,665602,-1,947045,234163,-1,-1,-1,-1,-1,-1,-1,-1,-1,698442,846895,243362,519333,-1,174943,-1,-1,-1,-1,-1,-1,649293,-1,599900,363135,-1,82570,-1,-1,397833,-1,397971,761227,901751,-1,873638,668300,171865,-1,-1,-1,-1,-1,770675,506344,-1,432081,241990,-1,-1,405973,-1,111699,-1,-1,-1,376822,111552,287686,296077,-1,300625,-1,-1,466565,-1,583789,-1,-1,-1,153648,359212,-1,-1,-1,-1,-1,-1,-1,-1,514919,-1,335384,-1,-1,-1,729891,309512,544689,512600,750631,-1,-1,720146,-1,544065,-1,612762,690342,-1,823013,-1,945289,-1,-1,-1,190058,890380,914893,-1,-1,517787,-1,-1,928010,581557,-1,513691,974859,-1,-1,-1,843308,961399,234141,-1,-1,-1,19924,275416,590913,759900,642636,-1,-1,-1,153223,-1,-1,662011,199696,450553,-1,-1,-1,-1,794945,314598,-1,707710,-1,-1,-1,-1,483427,-1,-1,-1,650399,541505,-1,-1,-1,979129,-1,-1,146529,655462,-1,613426,578459,477585,-1,-1,666255,419730,908254,-1,-1,990163,-1,-1,-1,102114,733963,497103,117812,300764,628542,24445,-1,527671,612942,-1,958964,-1,536835,-1,-1,-1,-1,550308,110111,652183,-1,434274,736534,-1,743680,-1,993323,-1,-1,-1,-1,505473,-1,163974,613678,-1,-1,-1,151212,381699,967281,-1,453705,738985,-1,-1,512856,-1,-1,-1,540311,313981,-1,-1,732215,-1,-1,286087,-1,760496,320338,-1,997938,422859,-1,182905,382521,-1,404766,945157,142720,984459,646354,-1,794130,483001,334675,-1,649660,498807,533032,477265,-1,226842,129874,-1,262657,-1,23834,-1,-1,580074,360757,686757,184893,-1,907287,-1,-1,-1,-1,-1,554957,-1,-1,-1,927762,254184,495511,191487,-1,-1,660565,591806,863444,53462,748370,579473,-1,-1,630474,-1,943937,-1,151471,-1,381791,510912,-1,-1,552617,651540,927295,-1,14094,680010,-1,-1,389248,557142,280764,359093,-1,-1,-1,-1,893186,585495,-1,970001,-1,878059,18197,-1,-1,-1,-1,-1,-1,341704,301126,-1,-1,-1,-1,902886,266281,-1,709995,-1,936096,566046,-1,834229,-1,540191,-1,-1,-1,398043,62192,-1,-1,-1,368994,-1,610636,-1,654714,74229,315883,423146,-1,467633,-1,-1,-1,-1,-1,535377,-1,-1,873941,338307,-1,871035,-1,825044,223800,287471,-1,-1,-1,897526,964018,723448,-1,-1,266422,-1,624096,833578,219051,575585,-1,781100,-1,468393,910924,175233,-1,362055,-1,-1,-1,863135,647174,-1,474621,-1,784994,-1,-1,-1,893643,932279,62022,879581,670018,-1,-1,-1,495878,743619,516589,510400,-1,-1,-1,-1,-1,-1,576702,-1,-1,-1,-1,-1,-1,-1,-1,746604,-1,969552,407659,-1,336939,-1,686342,-1,146705,-1,-1,108595,-1,275585,-1,144172,-1,-1,786843,-1,-1,-1,254542,773965,-1,831625,-1,789267,352166,-1,-1,823106,-1,-1,120632,950503,-1,-1,-1,700204,-1,698846,-1,-1,-1,409666,-1,-1,-1,319129,-1,456476,-1,350081,454935,-1,136549,186061,229454,-1,238981,-1,767138,-1,-1,150877,810603,-1,-1,185071,895905,86298,-1,-1,-1,-1,-1,318626,-1,-1,501674,-1,-1,-1,163119,-1,572809,-1,-1,354093,-1,276465,732104,637720,760740,366086,650904,-1,601916,703960,862824,-1,834128,468034,-1,-1,-1,-1,-1,-1,-1,-1,156955,-1,391638,641576,-1,-1,741322,-1,-1,837531,956386,-1,566839,-1,-1,-1,113054,829675,-1,380686,-1,921570,12048,449549,792159,566869,-1,676888,-1,398925,2794,604672,341537,990146,399571,756205,961163,922230,-1,819261,496273,-1,138668,83682,847786,-1,316930,689716,-1,343746,483771,-1,274903,491529,-1,826029,-1,462147,-1,941722,-1,103741,289964,-1,237623,380126,-1,810750,-1,600831,525140,-1,-1,537095,-1,-1,969475,871734,-1,-1,-1,248445,921095,604500,635450,56008,-1,82699,-1,-1,-1,909068,-1,-1,630228,-1,443505,-1,665761,719204,-1,-1,-1,614470,695468,-1,-1,360702,220937,978723,-1,727979,604070,-1,49980,213320,394883,516976,403399,-1,503130,-1,-1,360256,956404,461997,-1,88636,737965,-1,-1,215024,487306,67802,404401,989262,487233,-1,-1,588381,-1,-1,243746,-1,-1,242378,-1,-1,565002,-1,-1,-1,297562,-1,-1,123564,-1,-1,769501,596957,-1,-1,-1,-1,-1,-1,821831,6085,813158,805229,196616,-1,-1,-1,-1,408560,-1,45295,826407,-1,-1,-1,229089,-1,-1,679410,-1,606843,462738,-1,984233,617259,-1,-1,813139,429368,816841,-1,-1,-1,-1,-1,-1,936472,-1,-1,187953,-1,-1,347616,811923,988811,-1,112927,301299,-1,652359,-1,-1,676572,71100,53453,-1,-1,-1,-1,-1,-1,828448,648919,-1,501104,-1,-1,-1,-1,269347,935394,-1,687633,-1,541561,482769,-1,-1,476970,-1,572914,262606,185890,-1,-1,956140,66043,305103,-1,-1,594037,-1,-1,-1,-1,-1,140853,864972,-1,519997,-1,-1,-1,-1,-1,334962,493347,-1,-1,11770,-1,-1,-1,-1,-1,397043,86064,380360,-1,868013,-1,159502,570932,168571,307427,246010,-1,490467,-1,244015,-1,-1,236507,-1,-1,609868,-1,346852,-1,-1,209499,48341,-1,-1,-1,-1,-1,612056,16935,-1,513856,-1,404311,964259,-1,692842,-1,-1,832398,-1,-1,625154,-1,-1,96672,619908,135987,423585,-1,927103,-1,964101,403567,829386,-1,-1,-1,792686,110582,-1,494947,220942,-1,974893,784968,687650,-1,619320,-1,-1,-1,203530,961095,890692,-1,-1,841887,-1,39041,873208,-1,-1,379933,710149,400722,-1,-1,-1,-1,343227,931076,-1,-1,119365,472925,-1,635784,422194,791441,-1,-1,386794,-1,397091,830559,952068,485564,-1,713066,983326,270801,818982,-1,544017,970822,-1,-1,372991,566114,-1,214014,273576,-1,-1,-1,897197,264314,-1,492402,-1,58974,608847,-1,-1,-1,-1,350213,867565,-1,-1,-1,-1,223007,-1,109319,-1,-1,-1,516921,-1,-1,271283,303871,-1,-1,-1,-1,-1,142135,405041,-1,984880,-1,-1,314973,-1,-1,-1,-1,-1,273444,-1,357132,699417,-1,-1,-1,-1,932382,-1,-1,172952,-1,-1,445437,835615,-1,-1,152709,-1,-1,248572,-1,-1,-1,-1,-1,-1,88701,-1,-1,205052,-1,-1,-1,276994,360244,696877,-1,-1,-1,-1,-1,788777,862877,-1,560996,-1,529650,-1,-1,554004,-1,-1,189717,778133,362467,143827,-1,924175,198156,-1,811197,483203,-1,-1,628458,-1,821438,587336,768121,-1,-1,-1,-1,-1,756084,866300,754734,978944,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,570092,5296,180232,285102,894475,-1,-1,-1,-1,688285,680378,488423,221561,596294,-1,-1,-1,-1,-1,266837,-1,389664,-1,-1,-1,26630,-1,393770,-1,569440,-1,-1,-1,774663,387254,363282,-1,-1,-1,-1,226819,520886,-1,-1,721011,781238,778076,-1,-1,-1,-1,585825,97324,-1,-1,924932,-1,-1,845233,309732,-1,114023,-1,984535,-1,817021,364036,994016,-1,237515,-1,-1,57207,-1,-1,435755,444346,-1,-1,7325,232243,510511,-1,103370,-1,67776,473744,-1,580897,698522,190795,21177,-1,465943,-1,980041,-1,229062,256248,351529,355647,-1,734908,-1,573491,-1,-1,-1,-1,222168,930568,366824,-1,745923,478617,-1,-1,-1,874432,6102,316492,782508,981642,-1,778537,489397,481902,371894,28436,904129,-1,819875,-1,522774,-1,844959,427074,-1,993147,-1,999227,-1,36112,464130,965604,369899,352146,-1,-1,-1,-1,-1,321927,-1,569110,331079,-1,202962,51336,908955,-1,-1,953097,605750,-1,685882,217476,453410,499615,491893,-1,412652,590975,989279,-1,-1,860380,-1,531306,-1,-1,13650,-1,-1,658856,-1,808783,-1,-1,-1,-1,-1,-1,301839,-1,517168,-1,-1,-1,211973,-1,-1,-1,210274,268399,161507,-1,868967,-1,413582,777337,618458,-1,838905,-1,965427,984945,-1,-1,-1,-1,-1,230729,-1,512042,-1,210427,130118,182924,893438,288941,-1,768530,979071,524702,148452,-1,609240,-1,580751,532944,19984,312373,-1,-1,-1,-1,690906,217936,-1,846338,-1,-1,942611,-1,-1,-1,78121,-1,657606,-1,-1,982295,819253,272034,-1,-1,-1,-1,390106,-1,97656,37254,434320,414325,352921,232485,833090,118333,-1,9133,-1,-1,-1,209066,594075,238717,310777,174566,-1,269160,194519,-1,-1,-1,686957,103677,-1,911836,-1,-1,871819,743641,-1,155388,-1,230640,-1,-1,691073,-1,-1,334184,-1,74716,724095,972910,-1,198296,58929,-1,111384,422849,157362,-1,359714,-1,-1,-1,188725,-1,-1,570216,-1,-1,-1,211754,887658,-1,-1,-1,537556,500020,214185,-1,-1,380527,-1,-1,915749,816923,941517,843536,671709,269306,831856,388382,-1,-1,-1,-1,-1,958903,368906,-1,260145,138321,-1,988575,472138,108410,-1,982829,-1,-1,592421,769745,-1,61702,-1,-1,-1,895674,-1,-1,-1,400853,-1,-1,436361,698072,-1,937916,578133,-1,464976,-1,-1,-1,-1,-1,-1,323440,999347,-1,-1,721214,170337,827095,-1,691503,-1,36848,721776,-1,-1,120184,-1,-1,-1,-1,-1,632423,624350,-1,-1,693277,-1,-1,-1,-1,-1,-1,-1,-1,769923,-1,-1,-1,145469,-1,299727,280885,426719,-1,906069,739353,-1,-1,-1,-1,-1,643050,107338,-1,-1,-1,453540,986377,272255,-1,220074,721643,-1,418265,-1,436022,-1,597477,693831,866928,205371,-1,-1,249569,595306,-1,-1,-1,-1,-1,-1,818209,-1,-1,-1,621788,-1,261109,692187,-1,-1,-1,717268,-1,-1,-1,783306,409546,-1,972776,-1,316928,770458,-1,-1,780999,-1,923350,36579,307282,869961,894414,-1,-1,-1,10876,-1,214899,689284,-1,466802,396266,214035,749739,412569,870140,-1,844190,564797,441271,451148,619033,-1,-1,415043,-1,-1,-1,-1,914738,-1,893597,-1,-1,-1,-1,498676,300681,-1,26536,-1,677532,448356,219171,-1,148316,-1,267081,-1,-1,132153,-1,730568,355598,39950,-1,-1,-1,-1,107642,755865,398655,-1,778088,-1,-1,-1,292876,358186,133635,415338,-1,-1,-1,599722,188671,-1,506273,-1,-1,420784,-1,-1,-1,912145,875398,263145,-1,131503,500346,-1,-1,257106,140926,-1,-1,350937,746370,-1,-1,821036,802354,-1,412514,851841,919602,790872,35249,-1,-1,778570,-1,-1,-1,536440,-1,287350,797303,709194,-1,-1,-1,353706,984500,-1,-1,708940,-1,916995,713081,380917,-1,590643,905010,172034,957794,-1,-1,-1,-1,258199,964048,725866,-1,-1,-1,-1,-1,731305,-1,86749,-1,280908,203218,454748,400849,983626,-1,171991,471277,-1,964724,-1,-1,-1,450138,254014,-1,544750,66538,-1,-1,-1,-1,-1,34396,983289,-1,6459,920862,863878,-1,398083,611682,-1,349673,962818,-1,66169,399492,768886,467268,-1,-1,-1,-1,-1,820563,-1,863094,-1,273545,-1,467183,-1,774808,81203,-1,-1,608671,-1,-1,-1,487166,789234,157962,301019,-1,-1,-1,-1,128719,-1,48409,-1,-1,-1,29672,-1,-1,744094,-1,20995,-1,596692,-1,-1,-1,84700,483517,130068,326825,-1,376727,924854,955015,465531,623163,-1,220303,-1,637954,686726,-1,729036,533074,629897,823341,-1,-1,-1,261299,551632,-1,351313,-1,350055,-1,-1,-1,526291,341138,116202,-1,123633,-1,-1,-1,-1,205736,-1,-1,640443,-1,-1,204872,-1,451024,-1,392571,-1,-1,373479,-1,910842,681957,-1,-1,-1,156821,-1,-1,-1,-1,-1,-1,486481,-1,726292,-1,998923,-1,143381,640164,275976,987195,556145,198,21453,784003,-1,286674,-1,-1,92239,623734,175882,987125,-1,761333,470427,201942,387839,156834,479733,944713,-1,-1,-1,-1,-1,630349,2333,914188,-1,804047,-1,745836,153378,-1,-1,934111,59397,-1,-1,-1,-1,332579,249006,752002,-1,-1,-1,-1,777519,-1,18127,-1,-1,571920,510671,-1,-1,-1,352337,750659,-1,-1,173419,-1,-1,775135,334758,892950,-1,579849,101971,855671,801083,893233,566028,-1,883721,519412,-1,248499,-1,-1,529228,-1,434674,-1,700042,-1,156394,-1,-1,932262,-1,279280,914686,936710,-1,733017,-1,251650,-1,318957,184396,9881,483140,940773,-1,-1,-1,-1,-1,-1,535887,-1,336866,-1,596473,-1,-1,-1,860683,-1,467574,-1,50820,724271,564439,-1,161852,-1,-1,345452,-1,369168,-1,-1,-1,537639,-1,516095,201840,756990,-1,-1,-1,-1,583880,-1,-1,-1,-1,-1,-1,-1,-1,644855,735821,948207,596095,742838,882099,417496,-1,745200,-1,728846,-1,138609,-1,-1,305852,-1,915668,-1,-1,-1,-1,-1,-1,170207,-1,-1,784644,-1,-1,-1,450876,208,405766,-1,-1,543355,-1,-1,989140,758859,-1,-1,-1,-1,-1,-1,339152,-1,-1,-1,-1,455144,-1,267405,-1,-1,-1,174555,-1,610759,677201,-1,-1,-1,-1,656351,534796,173148,-1,768393,-1,-1,258246,768132,-1,-1,884794,-1,-1,875170,-1,832020,413742,-1,-1,371239,39363,114543,-1,-1,-1,-1,893921,-1,270572,854864,732408,-1,857136,-1,-1,-1,316561,-1,49623,-1,965310,483665,-1,-1,428767,620027,-1,-1,-1,-1,102712,911950,-1,-1,936913,606366,-1,-1,-1,632044,-1,983979,-1,-1,57971,-1,-1,-1,91031,-1,-1,-1,192852,724645,-1,-1,-1,-1,221680,267963,-1,986192,-1,-1,-1,406501,-1,114246,275048,338025,-1,-1,150228,-1,-1,-1,-1,-1,-1,319728,290068,-1,-1,-1,175219,-1,788605,-1,-1,969461,128386,-1,-1,172602,425166,102404,-1,-1,-1,157684,534481,-1,-1,-1,-1,-1,364484,-1,-1,-1,-1,-1,44043,325689,-1,-1,-1,-1,822719,931562,-1,-1,221772,366564,-1,-1,-1,-1,17979,-1,759686,746695,-1,-1,334228,-1,210770,157976,553614,-1,-1,232876,-1,883698,81383,117160,-1,328518,653244,630028,546787,-1,958643,86196,-1,736421,-1,-1,48918,805368,-1,-1,-1,-1,-1,21904,-1,-1,725085,-1,953838,282817,-1,-1,-1,910020,-1,214221,979465,-1,-1,658161,-1,-1,789268,-1,-1,609133,998142,-1,-1,-1,640756,408403,253172,-1,-1,481555,312427,970860,-1,193616,98575,613267,419497,-1,-1,139322,-1,98786,140327,-1,16184,46760,391783,368233,-1,-1,726241,348754,384405,-1,787852,231906,-1,-1,-1,-1,-1,678438,45883,986175,-1,603185,954922,-1,780838,-1,-1,-1,58165,-1,793662,237294,14837,969937,441255,-1,-1,115296,312837,-1,-1,986533,952191,548678,939945,-1,936641,-1,-1,-1,11271,-1,-1,857699,-1,-1,-1,331206,-1,701273,-1,-1,-1,-1,-1,899641,-1,-1,27385,-1,430066,-1,659616,660364,167312,654464,604651,603443,299541,-1,346399,518539,-1,-1,-1,-1,-1,-1,-1,567503,-1,277591,-1,705627,-1,439216,-1,892650,962930,580172,-1,-1,-1,-1,-1,-1,564317,-1,68514,-1,-1,-1,297034,768463,-1,-1,-1,317647,-1,957737,-1,-1,-1,-1,-1,686400,462935,-1,495027,685589,570875,648754,774742,966493,656183,186351,389378,203790,228796,106158,412848,948343,521193,261587,40883,33160,-1,-1,297653,339103,996,188361,262669,-1,-1,905894,-1,-1,690982,-1,-1,-1,770769,-1,-1,320961,-1,910468,-1,845836,-1,-1,-1,422740,82262,-1,-1,455178,-1,-1,-1,50899,37100,45110,310214,-1,-1,705726,135452,383090,-1,-1,755706,294479,-1,667883,-1,443437,-1,295199,19608,-1,-1,-1,-1,-1,675001,334772,-1,183715,161143,-1,546038,-1,-1,-1,-1,609883,-1,271535,-1,-1,394820,-1,-1,978453,-1,735555,608306,-1,-1,-1,663934,-1,524346,-1,-1,231973,-1,368969,-1,-1,-1,-1,-1,-1,-1,61180,-1,3914,875165,-1,656627,546234,-1,-1,424362,-1,60900,129103,541997,-1,-1,74212,-1,573276,-1,-1,869004,456303,991650,-1,803627,77057,634755,-1,-1,-1,446169,879802,-1,172151,240468,660524,-1,-1,442178,-1,31681,205956,112493,-1,-1,462684,700749,-1,-1,489575,-1,201138,-1,386723,463399,-1,682595,802835,581198,-1,-1,441840,-1,-1,254567,918869,280840,182027,809509,954102,782494,39732,-1,-1,-1,445408,205968,338113,-1,-1,-1,-1,175348,-1,798354,-1,646621,370234,611787,-1,-1,299103,374570,-1,65464,169098,743349,130745,964672,835985,130447,-1,849484,125715,-1,776727,625186,490253,926874,-1,-1,195392,38108,-1,-1,-1,104949,-1,321965,392597,-1,303386,-1,-1,486988,945183,-1,841727,-1,-1,-1,-1,937032,-1,-1,208080,268801,-1,-1,253690,-1,-1,-1,-1,-1,-1,688239,811398,539547,-1,696985,223831,-1,71960,-1,-1,863613,-1,-1,154385,160466,43320,27367,658562,-1,-1,-1,-1,-1,-1,-1,-1,-1,645859,774487,-1,70024,193579,969525,-1,-1,148634,-1,-1,680235,720967,596419,-1,-1,167971,62553,-1,125894,323905,-1,-1,-1,473506,532728,-1,-1,-1,944116,-1,-1,743767,-1,563298,96074,736385,447713,505015,730277,-1,-1,-1,-1,670866,-1,-1,-1,-1,-1,736950,-1,303796,-1,-1,-1,-1,-1,907824,-1,667974,-1,412665,560783,-1,683390,-1,-1,-1,-1,290612,-1,-1,-1,617926,-1,-1,739532,-1,-1,722938,-1,-1,860582,536841,207396,-1,479768,99397,-1,805393,197602,7206,-1,-1,-1,-1,387837,854006,-1,-1,796891,-1,-1,44413,-1,165187,-1,-1,-1,-1,-1,-1,982375,-1,-1,-1,-1,-1,-1,585627,-1,-1,177591,381078,-1,526559,-1,-1,-1,-1,797487,368508,49296,-1,211365,553610,-1,211999,-1,-1,-1,-1,-1,324752,-1,-1,-1,601531,-1,-1,403698,-1,-1,413189,83526,-1,-1,681181,-1,394767,-1,966035,873165,129148,-1,151725,335704,-1,537494,-1,-1,144199,589445,-1,507302,-1,-1,-1,-1,-1,-1,163105,154198,-1,-1,-1,-1,18411,554628,-1,-1,-1,548272,-1,-1,-1,936811,874847,-1,416643,469195,-1,46896,904677,-1,473926,752382,140024,789894,178748,90452,853730,118739,298414,248765,716125,104790,-1,777230,-1,-1,36786,-1,442645,-1,845578,97178,332989,-1,-1,-1,237129,39315,-1,89234,-1,806829,-1,-1,879459,5464,413207,274003,638920,-1,-1,772452,-1,-1,912751,510424,-1,385104,743166,53144,854822,-1,952134,-1,268498,108247,470253,-1,904229,576373,767698,269027,-1,13521,-1,839627,702702,-1,352899,187331,-1,403472,810020,-1,130911,-1,69131,100122,-1,-1,-1,802056,40873,-1,-1,115777,-1,-1,801014,231810,-1,-1,-1,182710,-1,84516,-1,-1,412836,205327,-1,281326,-1,-1,277138,466151,-1,-1,-1,504648,-1,-1,-1,-1,237673,-1,-1,366402,-1,39389,663219,-1,485814,59091,458481,74845,748768,-1,961221,-1,-1,229635,-1,227326,-1,-1,149941,-1,-1,837686,-1,-1,12616,163236,-1,569453,-1,499659,-1,18617,-1,-1,-1,-1,359790,-1,-1,-1,349869,-1,-1,-1,-1,895743,530913,544332,-1,471447,-1,407949,53095,202179,-1,-1,-1,-1,-1,-1,990692,-1,-1,-1,727409,266278,-1,-1,873296,-1,-1,122675,284440,92202,778313,659331,542889,-1,-1,-1,-1,-1,787826,-1,907243,-1,341190,-1,-1,738332,508069,495044,903953,733754,-1,-1,498533,-1,-1,-1,-1,731892,-1,-1,968421,-1,-1,-1,-1,857400,-1,159011,970306,-1,269510,-1,132639,-1,-1,155322,-1,531168,387250,-1,-1,-1,613355,-1,289874,800374,589433,516392,-1,768206,-1,264646,-1,-1,-1,593587,688258,131769,-1,254797,842122,-1,69484,255982,217511,536279,-1,957243,-1,-1,447121,285524,-1,-1,-1,25488,359199,489775,-1,-1,-1,871433,895912,723163,-1,-1,-1,-1,-1,23733,-1,546538,406324,-1,-1,-1,-1,762699,-1,-1,-1,255493,-1,-1,-1,-1,-1,-1,-1,785554,-1,-1,-1,736947,923891,973510,567638,-1,-1,-1,377967,-1,560323,-1,-1,920209,373588,205611,927997,-1,-1,-1,249871,153739,311325,882100,-1,-1,358748,491965,-1,-1,968314,-1,429931,381467,697496,293918,-1,954399,84904,-1,5766,-1,322654,-1,814362,361908,379717,825544,-1,831655,135001,799258,-1,720994,338085,784866,900596,-1,-1,-1,-1,934654,-1,-1,-1,-1,605939,-1,-1,732395,-1,-1,961896,740570,116706,36029,-1,127655,648637,86589,-1,-1,3069,447268,859220,555666,-1,633375,980704,386225,53333,-1,-1,-1,-1,-1,-1,565827,-1,-1,-1,193661,-1,86995,738424,-1,197238,19585,-1,-1,559570,217835,-1,140533,-1,-1,150860,-1,383437,572509,312875,561125,-1,439156,670172,-1,-1,806634,548926,293475,104258,550972,228886,-1,574956,-1,916442,-1,656851,-1,-1,-1,462457,-1,-1,765270,797999,-1,465379,892027,790923,-1,966368,-1,-1,708916,-1,286463,619683,354224,-1,-1,37958,-1,333703,-1,742160,830013,-1,614987,362236,302528,-1,-1,-1,715179,-1,-1,-1,97949,700866,-1,399496,378071,-1,304697,985822,-1,776662,190646,644172,220,693902,627836,-1,826960,-1,610965,857613,636804,-1,-1,-1,-1,-1,228535,659962,-1,47527,862980,-1,395763,-1,699742,773762,772804,296157,-1,-1,-1,663566,169604,-1,333483,688127,416650,527872,-1,-1,828643,-1,693874,474912,-1,-1,-1,77649,-1,-1,-1,657976,-1,-1,-1,994035,-1,462536,-1,-1,818178,126561,58892,155118,599498,297336,-1,976355,-1,-1,-1,124877,-1,320321,162027,-1,-1,-1,-1,189898,91126,238480,837662,96995,-1,-1,130144,750382,71864,-1,758387,223926,-1,389115,264671,775686,-1,-1,806694,-1,-1,-1,126581,807199,686698,792022,-1,825893,718106,469881,67811,-1,890616,-1,467524,-1,-1,382338,936111,-1,-1,-1,-1,-1,-1,932980,-1,-1,404845,-1,815373,505907,958549,-1,63605,91789,88505,-1,18935,957818,-1,-1,-1,247590,463635,237473,-1,-1,-1,-1,812268,-1,-1,996528,277705,-1,341247,-1,-1,850860,350887,-1,743691,-1,545799,885264,172554,528722,-1,-1,510900,733186,613068,993200,726672,997230,242570,-1,640876,-1,340568,-1,204372,-1,-1,658329,-1,888622,-1,570686,350722,608067,948020,762775,345531,-1,-1,166501,-1,43074,353496,133381,429845,-1,-1,786197,179812,-1,443696,873890,-1,-1,-1,-1,487902,-1,71636,194330,798562,-1,-1,-1,200594,-1,-1,-1,912904,-1,77704,-1,821898,-1,-1,-1,230614,-1,578258,-1,-1,874481,-1,-1,-1,-1,-1,-1,520358,865408,-1,848724,-1,-1,699717,-1,-1,711034,-1,15380,-1,589451,-1,602416,145117,494693,-1,-1,-1,-1,559078,45160,-1,-1,-1,-1,-1,394372,-1,-1,456404,-1,65565,786193,-1,707571,45003,-1,892614,868277,-1,-1,-1,-1,-1,-1,83185,-1,-1,-1,815100,-1,-1,545209,-1,592100,-1,-1,760893,799990,-1,903437,-1,-1,518383,-1,97306,-1,-1,493745,67816,941147,478278,-1,-1,9162,-1,-1,-1,-1,-1,335399,864133,187372,-1,-1,-1,-1,-1,-1,328025,-1,-1,-1,398220,853574,74458,701843,53871,194435,-1,709581,-1,-1,-1,-1,131003,646376,-1,848502,-1,733401,742642,-1,174300,890845,504711,-1,-1,575165,96688,-1,286903,827663,130318,503058,667730,868055,-1,245875,989563,-1,655559,977653,760259,-1,-1,299536,-1,522316,552858,643293,559970,-1,504125,140583,-1,-1,908762,-1,445047,-1,375155,-1,-1,-1,130756,577749,796126,-1,144590,909137,364428,-1,299731,957326,439331,177938,71199,-1,400322,-1,995872,-1,-1,652234,-1,815018,996795,-1,761345,-1,442713,177362,474994,-1,253132,-1,295054,445663,390602,455551,-1,498896,-1,558579,824271,977592,-1,37105,-1,-1,589721,532067,98836,-1,-1,-1,956316,-1,524139,496123,-1,659907,551800,241035,-1,-1,-1,-1,184712,-1,619993,726342,833284,182137,857594,688029,187527,122372,454501,-1,799752,469389,460504,816668,628935,-1,405719,304402,176966,777064,-1,475126,-1,535737,-1,894650,142646,-1,887595,818433,659396,212450,-1,145487,-1,334034,-1,470449,330418,-1,-1,-1,-1,639152,-1,797039,-1,739325,-1,455278,738705,541636,258326,15348,651261,636737,-1,684006,-1,490097,-1,-1,814224,-1,-1,50897,-1,801539,26706,-1,258040,-1,50783,-1,528647,-1,-1,752067,20880,953822,944252,-1,-1,-1,61867,836959,-1,504736,865457,664764,507210,800622,586715,588296,416101,-1,-1,-1,764086,-1,494281,-1,-1,64127,-1,213931,-1,388280,126114,-1,-1,-1,871167,217705,19998,-1,-1,482518,-1,122010,804514,759505,-1,-1,41076,-1,666361,567065,325747,175565,318986,-1,853774,423359,876122,-1,-1,372948,-1,-1,267136,-1,416726,699595,-1,-1,-1,-1,732323,-1,319187,796065,-1,-1,-1,916982,680016,335245,331875,768812,-1,-1,993438,-1,742497,506162,297819,826658,-1,725254,844059,-1,403722,483168,530353,832648,887270,-1,921988,274547,983120,-1,-1,545642,-1,-1,17998,249674,-1,-1,-1,-1,-1,-1,509248,499885,-1,-1,-1,146144,-1,-1,-1,290807,-1,193748,802673,779162,-1,-1,-1,-1,-1,952327,-1,-1,-1,-1,-1,739087,368153,-1,648766,406942,-1,-1,921549,-1,796035,847143,-1,-1,-1,220931,10096,-1,818575,967591,853012,-1,127396,-1,753177,-1,-1,695159,733999,-1,467387,-1,236740,-1,-1,168512,377720,134969,699563,-1,942174,941407,-1,-1,-1,355557,-1,43983,807159,50784,-1,413971,51114,-1,-1,-1,-1,91090,-1,390346,679318,439877,109110,836277,730978,-1,984713,462756,-1,308265,-1,751453,-1,321695,593069,417687,278842,-1,304835,303023,83080,-1,384527,-1,-1,956288,-1,926900,-1,565676,-1,922506,283832,598119,-1,648593,-1,-1,56149,958304,-1,610406,516099,-1,-1,-1,378099,613864,581519,985446,191174,-1,-1,37472,-1,682722,206923,508965,801919,-1,694314,-1,844832,-1,824749,-1,-1,907663,-1,-1,475798,230367,-1,-1,-1,8183,-1,734406,-1,-1,364382,995109,170804,-1,813123,840256,-1,-1,-1,820313,-1,-1,-1,-1,671849,648322,820098,12867,-1,74083,150220,-1,416593,780528,-1,702541,-1,-1,199991,-1,-1,317424,410655,493979,306833,-1,-1,-1,809995,333089,-1,735377,161936,-1,361727,460806,950725,456602,600085,-1,849251,906298,583185,-1,-1,-1,903195,-1,-1,-1,-1,-1,-1,492985,-1,265568,-1,668635,-1,-1,136100,-1,308718,-1,-1,-1,201173,-1,-1,973176,358960,-1,-1,391285,802604,-1,-1,-1,165589,873993,216424,567227,-1,258951,-1,-1,192540,929223,-1,-1,-1,-1,229134,185418,-1,757080,444021,-1,-1,-1,-1,-1,-1,-1,-1,-1,416198,871002,930984,911592,-1,-1,163765,22023,-1,831074,-1,69974,398924,-1,-1,-1,791942,220561,-1,612441,-1,730605,51834,308465,944395,284258,124708,642496,-1,494462,254408,-1,825286,-1,-1,-1,587973,-1,662404,807863,876464,585867,120421,-1,-1,-1,428744,458895,402353,423341,636873,515508,-1,475084,6805,-1,-1,880565,-1,-1,33188,-1,-1,-1,-1,-1,191085,-1,846890,-1,-1,-1,343522,-1,486858,-1,489187,-1,439678,811050,-1,-1,184580,-1,24345,173952,519821,-1,89994,375741,502550,-1,208543,-1,291904,827816,-1,-1,781497,-1,679706,424633,-1,-1,-1,734616,-1,-1,-1,239155,64900,-1,-1,-1,-1,-1,-1,-1,-1,406230,-1,151094,790314,-1,332339,-1,-1,-1,309573,-1,694863,590605,731771,483888,-1,-1,169760,-1,594934,-1,-1,-1,-1,-1,-1,-1,914339,-1,-1,-1,468284,697246,-1,828911,423371,-1,332379,-1,431756,-1,326020,-1,677284,-1,630097,-1,925287,283292,-1,-1,411682,202326,-1,-1,573143,98106,716450,-1,-1,328135,-1,-1,-1,-1,63528,153930,-1,360224,-1,781719,-1,943294,-1,283498,-1,-1,478118,12136,-1,447325,212834,-1,129744,-1,491927,-1,-1,483919,-1,847006,-1,204779,155897,414688,53156,375082,679015,244955,793033,-1,-1,-1,933208,688937,99980,-1,-1,-1,813180,901928,639329,-1,263030,516513,-1,258526,789387,707647,427462,999867,420570,-1,861613,-1,556622,137487,-1,618450,739093,-1,-1,-1,481408,-1,-1,434814,-1,80714,-1,-1,-1,42510,803111,487888,-1,913817,-1,127255,-1,-1,948743,-1,747514,881169,775659,-1,-1,-1,-1,-1,434603,413903,-1,659354,783857,939678,-1,-1,-1,-1,-1,169204,311094,-1,-1,-1,888516,-1,-1,475845,-1,891901,255431,894922,-1,234618,501990,-1,-1,581338,-1,-1,377726,142421,804217,-1,90086,-1,-1,-1,-1,351040,56273,758718,428633,-1,170345,297376,237888,993076,340899,628274,601263,-1,-1,-1,-1,-1,188687,-1,-1,32978,224474,661289,-1,582854,559698,788880,575292,-1,-1,944917,47691,-1,-1,243224,-1,-1,-1,-1,-1,954000,-1,852418,917781,-1,346506,-1,-1,482614,480127,-1,-1,525012,-1,-1,-1,511307,-1,45588,752254,500661,-1,498838,595648,-1,524554,-1,858633,67800,125605,-1,-1,-1,21616,524785,515272,439916,-1,-1,-1,331744,909179,311583,-1,825433,961715,671580,394892,-1,301547,561099,907022,-1,154311,-1,395963,-1,409042,562058,-1,325656,633194,431210,813807,571674,-1,-1,755740,-1,185203,-1,-1,-1,-1,-1,532438,944377,84595,734838,-1,-1,143384,-1,255725,51471,-1,361696,180289,-1,116132,560712,371388,-1,670351,-1,863078,-1,-1,122070,-1,-1,663702,-1,131751,254862,395131,160719,-1,166025,-1,665875,-1,-1,733307,153305,-1,428516,-1,-1,-1,-1,318098,-1,476720,-1,-1,-1,563970,-1,853363,2940,312803,181284,660478,168902,394582,146662,474820,-1,352085,507780,302540,-1,-1,619962,403263,696233,81212,332931,917929,127628,510334,146563,-1,-1,838427,331965,417049,661809,226615,914666,-1,780986,-1,966981,492014,231849,185979,-1,-1,513699,-1,161120,391056,-1,826884,-1,-1,-1,442213,612733,-1,-1,287476,978093,-1,181018,-1,-1,-1,-1,-1,944468,634551,-1,-1,741008,605487,883380,465397,415272,-1,494740,177261,668343,706417,9406,763488,-1,597798,-1,841168,336882,597211,-1,613447,644404,-1,323393,280235,-1,342342,816095,-1,989086,744552,612322,-1,967305,-1,-1,-1,416590,407063,144046,402783,986833,-1,-1,-1,51844,-1,-1,645468,724335,-1,192685,-1,-1,-1,-1,124325,-1,-1,-1,-1,-1,12551,650833,50841,849334,181907,901606,376672,-1,291093,962332,805389,25047,971849,-1,-1,-1,-1,-1,-1,379614,-1,899875,42960,-1,-1,-1,-1,-1,232029,-1,735456,-1,355067,79346,920939,841000,719224,-1,-1,-1,552835,196584,83966,144497,-1,118172,-1,953328,-1,968623,471829,-1,893459,-1,738602,-1,673242,852316,-1,689819,-1,794990,-1,-1,-1,-1,-1,79193,-1,498320,-1,93444,-1,941132,-1,441429,-1,-1,152339,-1,674246,341107,649999,741888,-1,-1,134635,-1,156410,-1,97997,317416,-1,-1,-1,-1,758013,840190,-1,-1,-1,-1,880159,845381,-1,855407,-1,325479,400299,556322,-1,530776,257538,-1,134141,620262,-1,800608,56673,634399,-1,578328,-1,-1,-1,-1,-1,309701,-1,52009,140824,-1,-1,810930,269344,-1,-1,-1,620924,-1,948340,-1,-1,-1,-1,-1,166064,-1,235920,29057,-1,-1,59383,-1,-1,-1,-1,852254,-1,-1,867370,-1,647044,24992,423600,-1,-1,-1,823779,-1,925088,991443,-1,-1,921525,-1,279796,-1,602177,305343,412455,-1,775346,583296,86784,-1,117303,826945,321628,64202,-1,387998,-1,-1,431587,564614,-1,613324,193767,812044,664323,169203,591570,-1,-1,-1,410402,-1,-1,-1,-1,109317,260174,-1,-1,337624,-1,973747,-1,-1,-1,-1,975393,22003,-1,375274,-1,-1,-1,379581,240971,-1,393390,912403,469658,929385,-1,-1,117443,-1,-1,21602,507724,302092,-1,-1,-1,448903,837907,-1,823653,366525,-1,-1,909186,-1,379309,738844,912050,582317,-1,60541,-1,300642,493370,259141,-1,236578,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,45275,470379,359050,-1,610719,399860,-1,211664,27907,-1,63808,-1,-1,-1,-1,431190,-1,909918,89210,515111,541639,-1,70038,549328,398056,874265,-1,406530,-1,-1,-1,123248,-1,-1,-1,903857,991220,-1,-1,-1,185117,139560,319338,458303,923453,453604,-1,-1,-1,-1,632719,-1,-1,671134,202209,-1,-1,-1,232904,-1,99919,-1,-1,671569,-1,230429,26892,61093,907262,-1,764705,216016,281699,-1,487788,-1,-1,-1,10652,-1,-1,-1,-1,-1,-1,-1,612499,-1,-1,-1,-1,782106,691261,-1,-1,-1,-1,722458,-1,-1,-1,-1,-1,-1,953464,962387,-1,-1,-1,418716,271371,-1,227490,-1,759499,734353,-1,-1,-1,305642,-1,-1,664354,77577,-1,-1,-1,473861,-1,419586,-1,139828,971600,522360,-1,-1,-1,844336,-1,-1,-1,467480,77721,-1,692952,-1,-1,-1,-1,-1,-1,-1,-1,-1,759127,421463,285489,671403,-1,-1,12153,783540,616510,-1,259265,657964,-1,-1,-1,400536,767538,-1,-1,670246,911625,367582,288741,503596,457771,-1,928547,344930,192832,572145,348529,898034,-1,482853,-1,-1,-1,14477,-1,492720,883980,-1,-1,245865,-1,990869,173690,-1,724881,-1,-1,830629,-1,77781,773158,236140,-1,957162,-1,845680,-1,-1,740759,-1,-1,932547,458878,554337,-1,993239,421454,-1,660230,910805,-1,308589,-1,-1,-1,508931,360430,-1,-1,202795,-1,47805,-1,-1,-1,-1,-1,-1,-1,590642,-1,-1,-1,-1,603141,-1,448853,-1,310160,295983,-1,925663,352825,774144,168794,242097,-1,70611,-1,-1,70645,-1,-1,-1,742771,761035,-1,839887,-1,-1,-1,513024,671794,64492,-1,-1,736691,370870,357706,-1,155146,192414,-1,-1,-1,-1,-1,484788,302114,-1,345905,968224,429495,-1,401074,327401,-1,-1,692455,719401,-1,-1,833789,975915,583120,285131,338726,-1,270225,409066,-1,174202,743275,754197,-1,-1,-1,-1,489757,13809,271285,558920,64356,-1,-1,735338,-1,-1,25135,-1,726998,-1,-1,293301,-1,630456,929009,130149,609922,40389,-1,358736,-1,303674,931773,537094,-1,142611,-1,-1,479371,-1,440105,259015,-1,886566,21670,743486,866633,-1,-1,10766,-1,508808,-1,-1,838947,499653,-1,-1,682677,-1,-1,998543,-1,292643,419673,725502,217077,-1,-1,-1,569038,332033,661931,-1,-1,-1,419002,893312,-1,-1,362614,-1,255949,779616,-1,669006,159861,-1,630817,-1,154341,340015,622873,-1,-1,519494,-1,954081,-1,-1,958403,522359,-1,670027,987494,762880,117018,-1,897254,635022,44352,-1,323245,-1,7176,-1,593504,601906,-1,-1,633317,817752,-1,-1,884186,272798,-1,789744,-1,-1,431079,-1,16465,-1,-1,836581,-1,-1,936661,-1,391198,326148,-1,-1,-1,-1,-1,645825,-1,19539,-1,-1,595458,612715,-1,-1,912684,-1,962581,-1,644470,-1,272674,564055,-1,-1,-1,-1,-1,937593,46094,-1,345966,755447,486750,-1,725916,-1,426847,394305,-1,263105,-1,-1,-1,-1,622368,-1,875422,-1,-1,-1,-1,41257,-1,-1,-1,-1,641531,169435,-1,335079,838042,-1,-1,-1,-1,892048,-1,-1,-1,-1,-1,-1,940650,174210,221477,-1,280064,-1,-1,-1,-1,-1,-1,-1,-1,348681,958826,-1,779301,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,318709,-1,-1,-1,-1,-1,864105,-1,295978,56669,-1,88361,-1,58534,229127,402208,-1,244089,945353,993704,-1,927049,-1,782121,282440,859946,-1,242333,-1,944222,498844,-1,-1,752097,664078,387663,-1,-1,-1,83644,745743,570482,64758,-1,28714,-1,906159,-1,-1,982587,232149,401592,735342,-1,-1,-1,-1,394671,-1,203126,372576,689204,203678,598451,1816,985347,898092,567357,328620,-1,78776,-1,831103,876877,315214,-1,908888,587184,631039,-1,-1,-1,746092,-1,519499,-1,-1,-1,23990,-1,-1,-1,-1,-1,613927,-1,325231,313382,10960,-1,-1,788137,90572,-1,412332,600494,930959,684315,-1,600063,-1,237540,-1,-1,502623,599594,-1,364010,-1,771951,-1,-1,708046,811644,872658,671624,32336,297460,963133,-1,-1,-1,617202,-1,406926,-1,62479,-1,926404,-1,-1,-1,207200,-1,508468,519737,-1,934828,953155,476566,-1,-1,-1,450143,-1,166079,785945,-1,222436,78942,280003,840904,899143,-1,442446,-1,-1,248226,563179,-1,-1,-1,-1,-1,364791,-1,-1,131612,28547,-1,-1,-1,-1,-1,654863,282587,636583,-1,482818,-1,-1,-1,-1,696101,-1,715495,800667,803477,929032,853880,666682,-1,799005,306947,291502,-1,-1,-1,-1,-1,971619,806668,813940,774811,215379,158173,644871,-1,-1,-1,64699,-1,-1,464267,-1,348709,-1,284410,-1,751928,192373,954677,573853,-1,-1,-1,713119,-1,971617,-1,502611,171150,15039,-1,-1,593569,55000,-1,769471,341186,707787,258455,649127,857284,714794,-1,493880,745408,881935,656600,-1,-1,-1,-1,142519,36807,-1,-1,651720,-1,-1,-1,510658,-1,985136,-1,792095,-1,-1,-1,-1,-1,321239,-1,663752,-1,71866,-1,-1,-1,847196,-1,89244,901659,-1,-1,-1,-1,430485,-1,-1,-1,-1,89664,753826,565615,-1,-1,-1,722289,-1,-1,-1,-1,-1,767901,486727,-1,-1,605564,406329,-1,-1,-1,47961,571519,179160,787244,-1,-1,490650,-1,-1,522914,-1,301665,-1,720731,-1,-1,864566,-1,349564,183498,-1,-1,-1,-1,704481,-1,620054,160804,828116,190769,-1,310543,760472,-1,-1,849195,-1,127399,91111,975897,-1,363606,-1,-1,-1,772934,-1,-1,-1,-1,-1,-1,-1,-1,553820,-1,936499,-1,-1,-1,-1,107932,334701,463353,785180,-1,-1,-1,232951,182038,-1,199223,27969,-1,35922,89513,598369,841852,721796,-1,-1,-1,19143,-1,856565,175886,931897,-1,12069,196821,510561,165644,825840,-1,16703,320375,722847,-1,796335,459007,35480,-1,670759,-1,-1,-1,-1,375510,473433,-1,-1,-1,244998,793103,685372,679077,560520,41088,-1,-1,-1,-1,-1,226077,-1,325925,274031,-1,-1,-1,586084,862756,186141,204715,831093,303733,-1,441414,-1,222651,852439,-1,391169,670679,345771,444807,91834,-1,502933,530607,468386,-1,-1,132576,-1,-1,-1,-1,-1,41891,-1,549256,173639,-1,568853,-1,-1,937899,-1,-1,-1,-1,920457,-1,772939,-1,908834,963531,-1,282414,-1,-1,-1,746828,-1,-1,925203,355704,414030,652538,137659,503149,516229,-1,-1,-1,-1,-1,230151,946301,-1,606601,910513,-1,210740,-1,-1,-1,842926,-1,-1,631490,36894,965584,839317,685463,965103,-1,-1,77173,-1,763477,-1,-1,-1,-1,146293,452705,640540,720542,111194,-1,-1,-1,-1,-1,457391,871463,-1,777743,-1,994896,447262,774702,-1,-1,732188,-1,737186,320020,-1,-1,-1,-1,-1,33150,-1,-1,-1,294825,696451,828133,-1,-1,159826,-1,-1,-1,-1,824026,561084,369006,-1,-1,-1,-1,72183,-1,-1,508482,-1,986348,-1,-1,-1,852101,-1,-1,-1,504719,791515,911306,182022,754539,126656,71908,297265,296773,-1,218506,-1,203602,701226,85582,178857,-1,807644,430576,-1,-1,-1,-1,-1,-1,-1,560294,821113,-1,575060,961127,-1,-1,161525,-1,375346,694038,-1,-1,-1,-1,-1,910136,-1,-1,-1,-1,-1,145649,322009,-1,516831,-1,638437,-1,-1,-1,974569,401915,-1,-1,256479,-1,-1,-1,-1,-1,878733,-1,107013,367166,100801,342498,199482,639418,668245,587265,911588,-1,-1,-1,394523,-1,744112,45263,412462,801833,952964,-1,-1,444833,-1,-1,-1,48424,-1,-1,243378,-1,-1,955569,-1,-1,511739,-1,470825,-1,526448,822461,-1,-1,-1,60707,-1,-1,378387,-1,235878,528037,972715,799038,607594,-1,359562,-1,-1,141032,-1,806013,-1,372038,126727,976898,-1,296640,452728,-1,-1,460519,-1,-1,-1,57803,650891,-1,453527,-1,393829,544988,-1,38685,2542,-1,-1,71075,920911,-1,668737,446837,-1,404176,494378,771448,-1,-1,-1,-1,519117,-1,-1,355526,968834,-1,-1,-1,-1,-1,-1,540736,912569,947977,315953,-1,-1,540796,136361,233903,534260,-1,914042,428025,329026,850075,296210,-1,-1,-1,-1,-1,-1,-1,-1,-1,88111,474152,56099,535935,-1,-1,54177,305086,-1,-1,341270,-1,787660,39112,-1,29397,-1,644797,-1,-1,687603,-1,785098,285526,7750,-1,-1,566412,138593,-1,-1,730879,-1,-1,512341,-1,915217,-1,-1,241295,586669,-1,-1,429007,672463,302923,708229,-1,-1,-1,-1,-1,988577,99928,436941,55163,-1,-1,-1,-1,692960,-1,883544,823012,-1,719117,357619,264811,-1,-1,-1,-1,-1,193636,-1,-1,282640,328219,564527,-1,563809,-1,391113,449693,-1,95700,-1,845224,565969,-1,-1,-1,-1,-1,-1,-1,-1,528905,-1,-1,411487,659702,9330,-1,-1,-1,-1,-1,-1,-1,-1,285646,559964,893703,337352,267775,360397,404466,-1,601351,-1,183936,-1,923914,-1,-1,903568,383231,-1,-1,-1,713865,987543,771539,-1,854718,-1,647792,-1,662867,-1,-1,742419,-1,463427,-1,-1,644616,-1,-1,-1,933489,72920,-1,845111,641751,718647,-1,220871,403069,146818,383758,-1,-1,957350,-1,-1,320299,270804,264645,159567,-1,75782,562636,-1,62254,-1,273677,947241,400441,-1,-1,23038,-1,298667,450531,-1,-1,324734,561075,-1,-1,-1,695718,452631,772752,780092,268168,772699,-1,447478,-1,897606,882752,-1,248098,-1,-1,658238,526096,812716,-1,273504,753011,807598,-1,-1,127230,-1,-1,256030,-1,-1,741182,315144,-1,-1,760534,143277,473936,831624,-1,926311,-1,303544,580560,771313,-1,-1,-1,-1,798058,-1,253923,489292,-1,-1,-1,-1,209762,759179,465029,-1,-1,852903,521413,-1,-1,797679,-1,-1,-1,-1,-1,659882,-1,650545,-1,189374,796616,188349,633474,-1,-1,416928,692703,-1,-1,-1,-1,-1,-1,22432,-1,39788,-1,170670,-1,-1,835660,614640,712638,-1,-1,766081,12683,-1,-1,140161,258195,-1,-1,115867,-1,175732,-1,938740,999671,-1,-1,491782,679405,902716,-1,422057,946930,-1,653363,540126,-1,-1,-1,-1,-1,795205,-1,-1,372359,-1,-1,-1,-1,605054,553419,-1,285517,934402,892375,-1,-1,-1,91893,463183,-1,-1,194826,429511,-1,851177,951251,270232,-1,-1,-1,293966,344628,143023,-1,-1,619279,-1,-1,-1,-1,188302,235161,522601,156448,734773,722030,861569,548797,-1,-1,668912,291345,-1,971386,849647,-1,93603,480507,973952,67092,103228,-1,-1,802309,-1,330496,-1,425704,-1,-1,431629,-1,-1,-1,-1,399024,-1,476376,-1,401894,121518,231293,-1,485137,-1,232028,-1,685278,593965,-1,282075,-1,214347,-1,634695,-1,961359,886947,-1,507459,369845,667004,731862,286101,-1,837809,-1,-1,-1,228135,-1,6352,-1,314379,-1,465981,-1,-1,-1,721121,-1,-1,823073,436041,-1,-1,119857,8480,570190,917230,-1,657756,-1,-1,-1,538774,-1,-1,-1,303770,-1,171396,725950,-1,348659,-1,577384,743607,830003,-1,-1,-1,901197,429161,-1,462389,174656,-1,-1,135831,479998,-1,98737,-1,-1,-1,-1,632028,888194,755614,608263,860633,-1,-1,-1,529059,480817,411895,-1,279489,-1,890149,87445,363598,-1,-1,-1,-1,-1,-1,-1,-1,973791,-1,609397,846798,-1,-1,-1,-1,295829,-1,184448,40135,900011,-1,232405,218147,-1,-1,-1,-1,874899,24531,-1,530670,121043,-1,-1,267056,-1,999378,147781,308452,-1,754415,51096,-1,-1,145247,-1,-1,-1,-1,865154,879509,-1,533175,125503,-1,-1,296783,-1,338587,525174,-1,941443,69680,-1,729309,-1,535120,481265,545846,969835,-1,939108,963222,-1,505141,-1,737048,-1,478743,676631,-1,694525,562465,-1,-1,492605,991122,-1,261021,-1,290663,-1,356531,148223,268379,-1,801925,-1,-1,-1,-1,-1,120543,-1,25299,-1,737113,-1,-1,793297,63363,-1,-1,440233,965195,-1,-1,829352,795797,-1,-1,-1,578409,-1,-1,-1,-1,-1,165446,809502,409676,-1,210105,-1,-1,781642,537389,230571,896896,422169,525147,56649,487559,-1,-1,-1,-1,617967,386887,-1,309611,97087,341359,-1,-1,-1,-1,2295,-1,38968,-1,297969,-1,984292,-1,816369,-1,190728,-1,941317,401189,796310,-1,86436,-1,-1,-1,-1,447946,363817,853666,727839,843046,-1,945273,965755,-1,-1,761077,-1,-1,-1,311219,359073,296345,-1,-1,286033,116550,505861,-1,159785,587140,378575,226314,-1,724028,966558,-1,153864,58230,308834,18395,-1,868712,176559,-1,-1,-1,-1,-1,607057,310070,-1,843228,-1,446828,646367,966330,-1,744686,-1,727654,-1,501316,-1,-1,177739,259208,-1,-1,-1,-1,-1,336938,-1,-1,-1,-1,516091,828592,23816,-1,-1,763724,-1,317545,-1,668578,950507,109967,-1,-1,607743,845718,59821,-1,-1,749718,-1,530059,246860,524813,11988,-1,-1,722475,236490,-1,56586,-1,960415,368255,-1,176319,250967,-1,689276,864275,-1,368172,-1,656740,-1,-1,709997,-1,105178,494877,625723,846257,629252,222332,-1,-1,442604,-1,-1,989260,-1,565869,491939,841980,176404,315320,884894,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,673584,-1,-1,858990,872831,615596,51291,362434,-1,-1,999992,-1,-1,-1,420023,637507,864962,-1,477281,-1,864812,530413,293069,-1,-1,-1,985283,441831,727541,345637,404963,-1,-1,-1,-1,85298,-1,291945,-1,-1,-1,-1,25713,-1,-1,-1,999209,-1,468574,641693,10889,-1,767824,10492,-1,951669,892441,-1,773939,125766,-1,-1,689910,-1,-1,329945,604387,572335,-1,686660,-1,236598,-1,-1,449441,-1,470145,6881,208374,261432,141778,-1,-1,-1,-1,-1,-1,602143,786348,-1,-1,849344,-1,387184,-1,-1,-1,-1,-1,215499,-1,579732,-1,-1,628503,920771,746548,181305,411435,164159,37312,282050,-1,-1,-1,578429,-1,654493,648291,427589,-1,-1,-1,332368,-1,-1,546545,-1,-1,-1,781197,608804,130916,474210,660135,-1,-1,-1,322932,639788,968826,-1,508980,-1,-1,-1,519836,688330,-1,-1,-1,-1,-1,-1,1557,347864,179469,400099,674266,493010,-1,-1,-1,412243,-1,254717,212795,732047,796890,-1,996970,593426,113041,-1,-1,579430,-1,137171,181524,776508,-1,-1,-1,-1,858761,647595,-1,-1,141033,-1,-1,-1,852376,29436,-1,-1,46770,500544,-1,-1,780063,543524,-1,267747,-1,620372,925302,-1,-1,646758,-1,563157,535705,-1,814437,-1,385593,-1,319241,984949,230893,766161,255814,-1,941303,-1,-1,-1,645769,-1,755907,-1,-1,-1,-1,-1,111662,488354,221429,402142,-1,575700,518504,114358,-1,-1,-1,497126,972266,-1,842229,-1,863018,86050,938925,-1,-1,-1,657833,111413,-1,630736,-1,-1,-1,777684,72607,-1,765323,-1,668146,7416,120993,748655,312085,-1,709796,908890,-1,-1,-1,549238,-1,-1,361776,-1,-1,323069,582117,296399,464673,-1,-1,774575,298640,169076,500210,-1,-1,881649,2538,-1,166586,-1,701816,-1,67414,177870,231065,-1,-1,-1,-1,266339,-1,-1,750492,-1,-1,-1,-1,-1,423401,-1,868944,204139,371505,-1,375855,-1,115495,686687,44541,-1,-1,-1,-1,845629,886833,567978,894723,-1,573872,-1,853648,-1,-1,-1,-1,-1,879645,-1,107172,571303,522758,-1,-1,379094,-1,443943,610664,-1,130189,216303,-1,127645,783391,256868,245417,723928,-1,699811,208707,44202,391586,987747,562532,-1,38337,273906,-1,-1,643697,-1,928602,642453,-1,-1,361458,227152,54548,-1,934134,563110,962676,-1,680301,-1,-1,-1,-1,-1,805279,85080,663949,49049,-1,922889,178889,-1,-1,-1,-1,-1,-1,727529,-1,-1,309514,121698,723116,-1,-1,-1,-1,942022,630515,-1,646893,261952,880010,-1,55111,978244,-1,716936,105450,-1,-1,602890,-1,-1,-1,-1,259852,570568,-1,442961,604638,717280,795517,-1,700993,393366,-1,-1,646156,474127,555268,786749,-1,704195,381558,-1,954407,-1,-1,322859,16533,-1,-1,842491,745720,-1,-1,-1,-1,269013,-1,937854,678240,-1,31958,-1,-1,-1,877741,-1,-1,442406,-1,242928,-1,747723,215475,748616,-1,-1,623044,-1,964363,-1,-1,700275,365793,-1,238991,-1,301701,-1,-1,-1,322110,138462,-1,588291,683807,-1,969825,-1,194784,417114,215259,617026,-1,931065,191296,897271,-1,821075,760832,968867,18530,-1,347466,-1,270818,550548,-1,209873,346708,129298,263258,55983,-1,901855,695220,-1,-1,-1,-1,511326,-1,-1,525691,-1,225076,827150,329797,-1,-1,311561,-1,427551,-1,-1,-1,-1,-1,-1,798901,819867,424214,570237,789690,-1,274143,-1,-1,777721,853577,-1,-1,-1,125971,21894,-1,270073,137332,-1,-1,-1,-1,-1,-1,-1,-1,-1,598618,27645,790319,-1,-1,-1,812405,-1,-1,824013,-1,169135,-1,785810,145829,654505,838941,554771,-1,707761,597427,-1,-1,74373,-1,555600,614715,349630,-1,-1,338821,725403,472981,660888,-1,-1,235106,927884,994233,-1,-1,539032,928389,215938,365184,-1,-1,740684,213243,501357,-1,20492,237178,-1,-1,-1,66939,-1,566530,-1,493560,-1,202474,-1,814050,-1,131014,-1,110524,124802,-1,-1,-1,-1,-1,693627,260270,-1,546580,683607,-1,531541,940973,-1,685317,657217,-1,-1,-1,-1,113874,265261,-1,844311,559438,40338,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,130964,-1,-1,430271,-1,835199,-1,470916,784345,9185,639409,287461,322966,-1,-1,-1,-1,832074,54208,413521,276344,353617,-1,-1,-1,244090,206422,-1,-1,-1,971758,-1,-1,-1,-1,418330,829722,-1,-1,-1,-1,-1,-1,-1,646078,225536,831246,-1,-1,-1,245655,-1,26897,810582,616576,-1,-1,628004,-1,504884,-1,962182,-1,-1,220291,943731,-1,314671,721777,468815,32711,-1,889675,23165,975474,248272,-1,-1,-1,-1,-1,186254,-1,568709,569278,-1,864233,-1,-1,-1,-1,635130,745256,312116,-1,-1,-1,-1,-1,673468,462233,-1,-1,-1,-1,-1,904987,600822,-1,-1,772507,455813,-1,762236,131712,-1,645555,179001,957730,-1,89038,-1,254530,238824,-1,327368,-1,-1,6535,-1,-1,462954,603496,-1,-1,-1,401486,-1,-1,16124,-1,597218,35583,-1,820709,487724,-1,212563,-1,562182,-1,515295,872142,-1,-1,881420,-1,-1,31712,-1,-1,-1,600673,-1,86001,660877,-1,347123,448500,-1,365203,518357,-1,424541,468286,-1,181413,951758,730165,961946,220025,7057,-1,-1,-1,600123,910621,338287,962792,-1,-1,845441,974296,984180,-1,-1,-1,57279,-1,95418,-1,-1,850818,-1,288562,140674,-1,875058,-1,329475,283021,853761,440898,-1,791127,-1,-1,-1,948778,99885,85486,205311,438149,385290,938577,-1,-1,-1,-1,748432,234115,-1,-1,656882,-1,715480,-1,-1,136426,-1,-1,-1,-1,629011,145586,624099,-1,-1,154287,63201,-1,180522,-1,-1,-1,-1,-1,762927,55114,-1,727697,-1,-1,-1,-1,-1,289188,-1,-1,661233,-1,-1,-1,967531,-1,802475,-1,-1,118281,569550,-1,367159,476260,838406,693711,-1,-1,-1,47549,-1,-1,-1,45830,-1,-1,2704,407849,-1,-1,883450,342162,-1,648944,767602,-1,-1,885351,-1,146037,-1,-1,-1,656496,275990,553712,279923,45829,284119,-1,369665,-1,-1,393443,-1,-1,-1,-1,-1,983808,463658,315624,795969,-1,-1,-1,-1,885144,-1,912581,577766,948026,899541,-1,118401,-1,334346,-1,395955,518915,-1,-1,87387,-1,191049,572722,-1,155942,585735,-1,-1,-1,125535,-1,378551,618215,118788,609898,749118,678102,495619,582610,-1,-1,92593,-1,885680,101769,-1,799210,-1,863423,594435,-1,-1,-1,-1,-1,-1,172246,490161,-1,-1,142550,-1,234909,-1,-1,-1,-1,-1,890109,-1,-1,-1,-1,-1,235039,184768,-1,-1,-1,723082,674440,23632,-1,463698,648557,-1,-1,405999,891736,-1,-1,-1,966315,513342,-1,432679,-1,639390,-1,835816,-1,-1,647136,-1,-1,122912,-1,236363,-1,-1,-1,343681,-1,757981,345675,-1,-1,-1,163997,-1,533895,-1,663935,327995,-1,-1,306046,555912,-1,-1,-1,-1,674373,-1,-1,429824,-1,-1,308365,-1,-1,-1,498948,-1,518851,31206,-1,-1,-1,-1,-1,-1,178356,13875,-1,327561,238194,-1,-1,-1,517948,-1,686111,-1,-1,385600,-1,844369,237865,-1,-1,-1,-1,-1,125908,612638,-1,-1,125196,432224,-1,-1,421010,-1,-1,79160,130295,-1,-1,-1,53644,744918,160797,-1,817665,-1,575039,68988,-1,666235,-1,-1,964966,-1,545260,-1,-1,55037,424290,-1,395070,-1,-1,-1,288581,974054,-1,-1,815516,-1,857875,-1,-1,-1,284042,-1,-1,-1,258187,-1,-1,-1,240929,-1,395551,877908,-1,10284,45493,-1,-1,-1,-1,776490,-1,-1,779884,769476,-1,270652,-1,-1,238012,52324,284156,-1,202994,-1,70673,659961,-1,-1,655327,285519,-1,471809,90940,137581,-1,265456,-1,-1,-1,-1,-1,-1,-1,65562,218154,-1,255548,-1,-1,646223,530559,792703,44348,902297,136521,-1,582714,-1,-1,799591,-1,-1,471096,568284,236960,475630,-1,736207,514181,53089,-1,340823,-1,618302,129578,296960,266672,913544,-1,944916,-1,271016,-1,-1,-1,452870,-1,678368,-1,-1,-1,-1,-1,305826,368518,591085,-1,483836,-1,-1,-1,-1,227313,960632,-1,-1,-1,-1,631924,-1,-1,686904,763057,679825,137831,127189,-1,-1,562300,-1,-1,-1,917471,-1,743881,-1,779327,973627,-1,96804,14934,152192,-1,702603,-1,158645,-1,986594,-1,401453,-1,563663,-1,-1,758036,853490,-1,702779,229104,-1,-1,-1,136649,-1,-1,-1,955446,-1,-1,-1,1191,233379,-1,798471,-1,-1,499194,157951,-1,-1,-1,960340,511927,371408,214454,-1,-1,528442,-1,432618,187437,-1,-1,968897,-1,-1,-1,-1,911247,-1,253377,108519,697427,653437,-1,-1,-1,-1,-1,-1,928778,612947,886926,5540,-1,839474,621823,-1,293504,44858,886972,-1,817122,-1,-1,59475,-1,-1,692625,920255,-1,382973,886978,-1,825863,-1,-1,-1,683516,-1,959258,-1,-1,-1,586264,-1,-1,934777,-1,78649,-1,-1,-1,490157,611253,642987,101715,432641,373633,805853,343234,574386,-1,-1,-1,370520,326471,198530,28003,-1,-1,-1,-1,470739,-1,104364,-1,-1,900431,-1,977136,388579,382544,263206,-1,476779,-1,-1,512711,-1,987371,54652,-1,70084,240305,717330,-1,589829,42906,26614,-1,525871,996039,574468,576338,-1,-1,-1,-1,-1,-1,633811,535040,303012,-1,661577,-1,552263,-1,850328,-1,-1,881058,652946,-1,-1,889012,391019,654958,465573,-1,908033,-1,-1,-1,-1,960041,366057,-1,122265,605946,-1,304580,962728,-1,394261,253827,572447,-1,508845,651925,538052,-1,-1,-1,939933,477921,-1,-1,-1,-1,-1,-1,351085,534208,-1,-1,437107,-1,-1,-1,862972,-1,82182,-1,918745,484193,-1,222872,325011,304197,-1,246864,-1,-1,-1,-1,-1,-1,54192,71898,941396,-1,549824,-1,309815,157090,-1,77198,840767,649923,-1,-1,19988,-1,356965,-1,-1,39174,-1,-1,-1,860937,156541,371316,-1,-1,332492,804500,-1,474611,-1,675875,-1,241472,-1,235544,-1,-1,428232,113521,837652,604073,-1,-1,305625,-1,170493,-1,-1,649980,94673,7214,-1,-1,719063,-1,-1,716325,175423,521086,-1,378314,-1,484344,-1,-1,843739,-1,-1,-1,811540,-1,-1,604797,-1,-1,-1,-1,826482,-1,61073,454485,-1,126463,-1,-1,8375,-1,604283,94567,421401,209313,-1,972234,741466,-1,-1,-1,172594,607517,-1,-1,-1,524442,-1,511661,-1,-1,-1,879804,250239,-1,-1,-1,988759,52992,835531,846478,-1,-1,148545,217858,-1,684465,368899,-1,-1,374685,-1,930459,996921,145210,-1,-1,101070,709837,730157,63545,-1,425578,-1,270301,895364,268284,402253,671340,615934,-1,65497,-1,-1,437712,664027,-1,450298,420877,139850,-1,98022,-1,984626,455045,-1,285850,-1,-1,863912,-1,585585,707383,-1,-1,-1,851438,-1,106419,-1,327433,18541,-1,-1,752688,481600,-1,726472,260871,-1,435126,274035,999313,927417,812682,-1,-1,454693,-1,289378,-1,333153,-1,490932,-1,-1,-1,868908,-1,-1,990148,958449,990654,-1,126078,112614,143480,752104,102166,774166,-1,-1,736418,-1,746830,813903,546509,-1,-1,602097,-1,28598,-1,-1,264796,-1,914430,-1,241430,-1,7324,235594,617493,232129,233822,-1,-1,631080,-1,186020,-1,599646,6664,-1,555253,-1,508030,-1,-1,460740,393231,-1,195036,-1,772337,308648,-1,-1,-1,-1,260304,261607,-1,-1,991234,-1,-1,712423,-1,801281,479820,171390,-1,886889,-1,526203,-1,60117,587682,242503,-1,-1,761230,287720,-1,-1,-1,43296,-1,395980,-1,182050,965811,-1,-1,-1,972893,535072,305509,-1,-1,424032,-1,-1,-1,52049,309281,-1,945646,-1,189825,807083,-1,-1,-1,-1,-1,766380,-1,-1,-1,-1,-1,686595,-1,439644,127281,339970,-1,244084,-1,-1,179020,-1,690224,750043,339369,-1,-1,765737,495209,-1,-1,-1,-1,815120,152147,-1,-1,-1,-1,-1,-1,-1,199945,418281,166408,-1,-1,-1,-1,-1,-1,445078,-1,-1,-1,442497,66826,-1,-1,-1,326448,-1,-1,-1,394107,614986,-1,-1,-1,97585,-1,-1,-1,22437,-1,933348,687203,-1,-1,83197,527744,-1,611731,14068,553481,-1,-1,625722,-1,-1,950925,721075,982936,-1,-1,198207,-1,419318,567338,-1,726295,62037,428945,-1,-1,-1,714631,-1,636429,-1,421885,408596,184437,862386,-1,-1,-1,145069,909409,-1,319557,-1,-1,621225,314279,-1,874918,-1,-1,-1,241088,416232,850257,-1,550549,-1,-1,-1,-1,-1,-1,195799,-1,316144,-1,709210,748179,-1,-1,-1,989805,-1,235792,-1,123414,-1,288112,329956,-1,68325,-1,-1,743674,378668,-1,560185,651305,-1,-1,-1,412576,518680,-1,964886,852486,-1,-1,906243,-1,109133,-1,-1,729957,515276,-1,-1,625257,493256,625233,-1,430568,-1,678063,-1,655357,850242,85859,451293,576476,599161,634538,104484,-1,-1,-1,952867,-1,693748,486641,73004,-1,-1,-1,166381,-1,108295,107933,-1,-1,651544,194813,-1,-1,390643,-1,196020,-1,817958,-1,-1,48861,676020,437094,720805,704225,607260,1940,109127,791191,936159,-1,624886,940301,116007,-1,89786,774496,636444,-1,-1,95426,-1,-1,756710,-1,-1,396899,160285,-1,-1,-1,-1,633328,979161,367489,160015,-1,376970,-1,505482,-1,274350,113590,718297,545789,-1,586344,923881,-1,984457,680679,214829,-1,238225,264311,-1,-1,163845,-1,-1,459396,-1,-1,-1,-1,319434,672194,398105,854679,687340,135675,-1,-1,850237,-1,216255,-1,505938,-1,61406,786600,602180,-1,-1,749279,867582,554456,-1,-1,-1,263071,-1,-1,-1,-1,-1,218736,-1,908022,259589,557707,548068,-1,-1,-1,261396,-1,-1,803298,94679,-1,511277,333542,51001,371147,357761,266247,570529,-1,-1,-1,812235,-1,-1,-1,6305,219696,-1,-1,187575,-1,-1,294560,996713,763641,595276,107417,205404,-1,-1,-1,-1,-1,981341,496115,382674,-1,-1,-1,-1,-1,-1,195576,191741,-1,558851,145561,-1,-1,-1,-1,-1,-1,-1,229399,343488,981885,-1,298297,-1,-1,368896,-1,-1,696435,993552,-1,-1,-1,21142,-1,898868,-1,-1,107486,780801,388129,-1,2042,988529,-1,3666,-1,-1,221136,-1,747492,307627,770482,-1,-1,-1,-1,-1,-1,-1,582274,-1,-1,149220,-1,49024,-1,241023,-1,100855,-1,-1,268428,-1,847720,-1,522344,-1,-1,294965,-1,83239,-1,-1,90456,7667,-1,-1,519922,824992,274425,-1,-1,576252,-1,951570,-1,348808,-1,265182,-1,-1,-1,791637,75494,125552,370462,-1,-1,922193,345708,102769,789002,62030,912408,-1,-1,-1,654233,-1,789277,384016,340176,-1,-1,207074,592723,-1,-1,-1,500824,344926,-1,242377,-1,168719,-1,-1,332444,993373,-1,698885,-1,878628,830023,791862,305388,240465,-1,943303,275281,124300,123266,820230,614613,-1,-1,368418,-1,-1,-1,910343,-1,-1,11694,-1,482231,129976,-1,313557,-1,885168,-1,415447,371793,784646,-1,656690,-1,-1,559193,-1,-1,162890,-1,-1,-1,35034,-1,916912,-1,379084,-1,-1,888254,-1,317027,857072,-1,-1,392693,-1,632170,-1,563932,-1,614576,-1,-1,-1,73971,493272,952090,-1,645326,-1,581270,-1,985063,271293,-1,482990,-1,533246,-1,-1,925674,-1,951002,-1,-1,-1,871613,201757,866730,-1,630137,-1,-1,-1,-1,478895,-1,-1,-1,-1,-1,782211,-1,499007,-1,-1,-1,-1,505535,-1,-1,847711,881371,841971,-1,-1,-1,-1,249282,-1,985353,-1,544249,-1,-1,-1,521978,575426,147255,718147,-1,-1,-1,-1,-1,-1,417266,204391,362678,87334,320072,-1,183746,-1,-1,-1,-1,943706,-1,-1,254166,-1,-1,686317,-1,-1,-1,797397,-1,-1,-1,858809,-1,700401,-1,-1,813456,-1,-1,-1,705497,-1,-1,475481,434547,901720,473815,884397,13495,-1,59133,567304,-1,-1,697057,196880,-1,-1,-1,615220,-1,908900,-1,-1,-1,-1,283422,604942,-1,657807,-1,-1,584865,541293,-1,-1,-1,-1,-1,362827,777052,123422,-1,335690,410175,-1,-1,-1,672854,-1,77384,-1,948496,735558,740676,913420,-1,-1,-1,-1,-1,-1,509428,-1,-1,-1,522265,57567,981853,-1,-1,-1,-1,861154,322889,804337,442697,-1,353158,272750,937176,266603,886356,-1,-1,471931,744198,183757,193054,-1,332359,-1,35806,969204,487719,-1,941715,36262,-1,849812,641386,898465,556233,-1,304988,174832,-1,-1,323606,-1,366814,667668,274306,-1,-1,496997,535743,460189,25348,695150,-1,338535,181090,818763,574794,714377,555540,-1,991030,-1,859312,257108,720232,645268,660247,-1,-1,177857,-1,835688,-1,-1,-1,-1,-1,-1,-1,-1,977000,-1,-1,22399,-1,-1,-1,-1,815592,707156,-1,-1,349196,614410,422254,470003,89942,-1,-1,586755,258582,-1,-1,-1,167057,-1,-1,-1,-1,355763,606357,345619,433554,615558,986138,328169,-1,505503,-1,792676,671085,866487,938319,-1,-1,781396,-1,821432,828132,753072,46906,386539,579601,190635,-1,-1,203367,-1,943405,541850,326181,-1,536,-1,-1,-1,-1,-1,613149,674560,-1,424464,-1,-1,-1,-1,-1,843879,562313,260485,308383,37028,257384,-1,-1,905620,179972,347002,-1,-1,-1,-1,-1,462388,-1,-1,102728,724724,22425,492113,-1,-1,-1,677970,-1,46230,-1,534267,56536,-1,305218,663851,938797,-1,31362,770229,-1,-1,-1,515036,-1,466156,-1,466757,487115,-1,-1,173083,954575,-1,362244,-1,-1,213981,-1,-1,738897,941201,169539,736757,482506,757963,-1,272898,22297,-1,-1,-1,386124,-1,287197,-1,-1,-1,-1,-1,-1,261122,-1,-1,-1,944547,567062,-1,973556,748025,-1,642380,-1,-1,904018,-1,390187,679827,-1,843501,-1,300906,439680,-1,-1,-1,-1,566235,-1,-1,-1,611479,-1,863262,988925,594188,-1,853834,-1,498203,-1,186590,703585,-1,-1,-1,-1,462272,585211,-1,180978,-1,-1,-1,480758,-1,885888,38409,-1,-1,-1,-1,-1,-1,615482,-1,29507,133441,740381,-1,267399,643057,-1,-1,-1,-1,913068,185464,-1,-1,856368,-1,-1,-1,357681,691732,-1,346232,-1,-1,588359,-1,-1,934106,-1,948219,807470,-1,678944,216013,970779,342932,-1,-1,917322,-1,-1,837808,-1,-1,-1,735156,-1,972097,-1,-1,453108,-1,348080,499076,-1,533124,-1,-1,-1,-1,-1,-1,670844,-1,48601,-1,790398,586493,264135,401888,459226,-1,-1,-1,494827,842565,-1,534196,213624,981203,139972,-1,-1,646773,-1,-1,326113,425661,272543,993201,806325,10208,-1,-1,-1,129910,-1,954802,740351,-1,896806,-1,-1,-1,269230,917221,-1,128571,-1,135771,-1,142760,-1,952790,284953,-1,258964,450340,477615,-1,-1,-1,-1,589584,-1,-1,441718,215947,-1,-1,925733,-1,66063,763675,-1,-1,823688,554393,285888,715200,-1,-1,-1,-1,410,-1,-1,-1,240467,907720,-1,-1,873132,-1,-1,-1,-1,-1,163071,-1,748116,40906,-1,-1,-1,-1,-1,554167,-1,288479,97841,-1,-1,99031,-1,148601,-1,-1,-1,-1,378152,738420,-1,606169,454562,159504,183894,88846,608904,-1,-1,-1,368596,-1,-1,641108,-1,431003,-1,993710,-1,-1,126142,855286,140834,-1,741473,-1,-1,677032,-1,114420,-1,876427,-1,157064,-1,-1,566822,-1,523011,-1,371945,-1,-1,877115,544479,31833,-1,-1,189078,-1,246886,-1,-1,346014,-1,-1,-1,912416,336877,144338,-1,-1,798065,-1,-1,939524,-1,535727,240295,221190,-1,-1,-1,114450,65493,766709,-1,-1,400535,698799,-1,-1,-1,750144,-1,-1,605806,963099,-1,-1,-1,299062,-1,-1,8779,-1,-1,-1,51168,167898,-1,-1,998684,-1,-1,-1,-1,238493,463654,62685,-1,-1,-1,491017,-1,-1,936065,561546,-1,-1,-1,-1,-1,993732,-1,670201,-1,450087,-1,-1,152325,-1,518731,-1,-1,-1,974820,683083,295248,612739,-1,402803,795171,-1,447307,-1,634313,274417,425277,903531,850466,-1,568771,-1,862976,-1,-1,872737,-1,571614,759568,-1,278970,431310,-1,-1,676195,-1,204773,-1,892103,592139,138475,921552,-1,619259,700406,-1,674402,-1,927147,-1,-1,-1,-1,503015,907387,835674,460777,-1,-1,-1,-1,389769,499477,910523,696073,-1,789659,184467,-1,-1,29820,-1,918074,-1,-1,919282,846708,774553,210667,41851,581772,855222,-1,-1,446100,500672,-1,-1,180199,-1,365255,525256,-1,-1,-1,706883,-1,58883,-1,21330,-1,-1,-1,-1,-1,-1,629323,-1,531673,660668,-1,998008,187484,310503,-1,209663,73504,-1,-1,489649,713550,100315,400579,898405,-1,974670,-1,-1,-1,-1,646964,-1,502059,56838,103621,821349,897106,225503,915814,656926,553406,-1,-1,67070,15192,-1,225642,-1,933044,-1,-1,-1,894059,312414,886432,785048,-1,-1,634894,-1,-1,-1,-1,145583,-1,159662,-1,-1,494489,-1,-1,983949,743157,-1,-1,253605,-1,481617,-1,950267,904059,-1,-1,-1,676938,795079,279855,-1,11511,-1,-1,-1,-1,221486,511731,-1,-1,-1,183316,116272,-1,-1,678569,359508,60784,386052,202362,21830,648994,-1,-1,-1,963778,514020,-1,495325,-1,644207,42810,-1,798372,394303,735058,-1,-1,311077,-1,-1,-1,479923,-1,296887,-1,-1,109844,638195,808909,-1,726275,-1,586776,-1,555521,476207,-1,812892,-1,470218,-1,-1,808413,-1,-1,-1,628959,-1,720621,-1,7821,-1,620559,-1,-1,474354,949935,160410,-1,313426,24703,153464,-1,766368,283363,-1,-1,172979,794255,-1,-1,786605,363880,-1,435132,-1,975021,-1,645388,636908,-1,145039,641363,139419,202524,-1,159875,863771,-1,236405,547535,-1,-1,-1,137672,198227,-1,536468,495654,-1,761753,-1,-1,-1,-1,-1,979464,-1,-1,-1,-1,131917,-1,-1,-1,-1,530617,-1,548804,334707,155270,-1,596467,-1,430942,-1,-1,320385,338671,661212,390836,564225,-1,589642,-1,288821,186499,328498,-1,487412,-1,111127,-1,-1,-1,-1,539768,-1,-1,-1,-1,194113,-1,-1,721880,93898,-1,174479,-1,-1,-1,872025,980360,516414,720839,512003,451649,-1,-1,-1,-1,-1,513076,176129,403232,-1,-1,75702,213468,978331,-1,642139,-1,177902,333430,256772,-1,245768,-1,-1,339377,-1,-1,247381,-1,-1,-1,-1,294136,634301,-1,463131,100663,-1,777644,650646,651481,-1,-1,820231,845526,-1,926135,-1,-1,565883,-1,902003,-1,-1,684264,806956,-1,-1,-1,615245,831828,754000,-1,-1,184966,-1,-1,960296,62453,-1,-1,-1,-1,451755,734122,721283,722493,223092,-1,-1,611778,-1,-1,496844,-1,115116,-1,-1,570597,-1,-1,-1,836917,-1,-1,158608,660224,-1,915362,-1,-1,-1,-1,-1,729217,-1,-1,724879,-1,508000,-1,-1,-1,-1,-1,289482,-1,870138,-1,818354,-1,74607,62041,-1,-1,-1,594634,781403,966114,452405,865538,680903,-1,322053,-1,-1,283207,-1,313018,-1,924290,-1,-1,-1,-1,635859,41985,-1,887024,-1,-1,-1,-1,532074,-1,970311,221114,-1,815657,862148,385937,468508,267531,-1,-1,297299,-1,797862,568372,-1,319352,372907,-1,-1,324525,-1,734660,623398,858187,-1,-1,52651,-1,-1,330094,245202,-1,-1,-1,516727,-1,-1,608167,-1,-1,-1,-1,706460,-1,-1,732428,154259,509305,-1,-1,-1,-1,-1,952904,-1,976863,802940,201692,101459,86854,562559,-1,-1,209891,815926,-1,-1,-1,-1,722372,-1,239329,-1,52120,-1,-1,525896,-1,-1,78983,-1,797367,363300,69151,-1,232605,5828,-1,-1,-1,583320,716140,-1,990968,-1,404180,555008,693,787130,-1,499976,57989,623256,-1,876618,-1,234074,-1,-1,-1,-1,-1,253896,-1,-1,-1,-1,-1,230749,274376,826352,195676,-1,-1,778519,66570,311050,-1,860846,-1,-1,740344,28386,-1,-1,244083,-1,207248,941542,573828,945622,-1,-1,471217,-1,448149,-1,547408,-1,764346,-1,410506,541911,40484,855616,-1,277264,96019,47822,-1,-1,803537,-1,-1,384180,-1,185920,854283,86281,-1,856560,-1,879844,-1,495851,-1,-1,66454,-1,-1,-1,833582,-1,-1,-1,-1,-1,470562,-1,157796,338675,306670,100734,-1,285778,239754,383129,672152,-1,-1,853097,879537,824819,715274,-1,-1,-1,-1,573762,189309,-1,-1,-1,544418,819021,-1,-1,-1,-1,923974,-1,-1,-1,608447,821842,563043,-1,707429,-1,171490,232713,-1,-1,485178,-1,-1,924134,-1,-1,-1,-1,887029,935621,326345,918369,-1,530878,65855,227789,-1,362568,625052,-1,-1,-1,-1,851934,-1,567605,350565,-1,-1,460119,179692,-1,789508,371830,468583,-1,878012,149298,390528,-1,-1,-1,924816,-1,-1,-1,32976,566878,86681,562717,457637,-1,-1,786356,-1,-1,-1,-1,389768,-1,-1,954559,-1,116433,-1,-1,-1,-1,980756,-1,190227,176786,-1,-1,-1,-1,326044,795006,412677,-1,-1,-1,666289,-1,-1,496444,-1,571367,285596,344423,-1,-1,673840,610365,-1,-1,-1,-1,957016,304612,-1,-1,130953,899597,411051,399494,237321,-1,752989,-1,763963,-1,-1,795496,-1,553193,492443,-1,-1,107748,-1,-1,865233,311864,436821,-1,863558,-1,436703,-1,-1,944297,368247,652451,905757,-1,-1,-1,-1,595709,977178,104157,-1,748093,666442,-1,-1,-1,641762,14136,905817,502791,-1,398741,685488,723454,870656,-1,-1,825457,-1,-1,-1,485670,947838,-1,960987,112385,417539,46085,123855,-1,649600,-1,-1,441295,249013,-1,-1,759680,220971,-1,-1,312322,-1,417381,-1,-1,-1,-1,390929,-1,-1,-1,987516,-1,-1,499192,-1,490790,406736,-1,-1,-1,-1,420736,-1,945343,78504,63411,-1,641555,105571,2844,366787,-1,-1,112075,271786,632494,-1,-1,191287,262272,-1,-1,-1,756724,-1,984760,-1,-1,274172,-1,12628,-1,-1,-1,-1,-1,464096,-1,-1,-1,927140,-1,818778,-1,966029,626435,-1,-1,323795,-1,-1,290182,-1,-1,610266,685937,-1,849825,70908,-1,100463,163432,-1,650095,-1,-1,-1,-1,813476,563906,946757,712390,-1,-1,315975,-1,541584,-1,-1,748253,-1,-1,54669,40479,40150,274485,403404,796494,463523,442411,163136,373383,-1,895875,-1,985708,35959,388581,220317,-1,499458,-1,203485,-1,682254,-1,-1,498976,-1,131971,-1,-1,-1,570248,946854,635279,-1,454700,536581,-1,293699,-1,603824,-1,184508,9862,-1,298700,370211,-1,222727,101297,952030,-1,608732,-1,259441,147282,543959,-1,-1,969187,-1,-1,-1,-1,495946,-1,-1,-1,-1,775705,138221,581808,371609,919446,764732,527132,506599,-1,596438,878722,521604,-1,187413,749362,675973,814560,-1,-1,127666,345064,372383,361606,605692,660608,322340,591728,306940,720557,-1,-1,190827,-1,527901,919251,-1,146314,-1,-1,-1,100156,440148,-1,-1,-1,859643,54802,-1,820238,-1,-1,60481,-1,126913,70377,-1,120320,446078,-1,-1,-1,902991,906487,247758,-1,-1,-1,-1,-1,953817,240417,321816,-1,-1,-1,118532,-1,-1,-1,-1,119092,873344,273888,-1,-1,265293,726128,-1,347844,905998,435520,-1,165128,-1,754509,816434,446333,-1,208878,-1,991714,-1,-1,-1,-1,-1,945629,-1,-1,94759,43437,888732,929954,-1,493941,413981,321550,-1,-1,-1,-1,510917,671752,-1,997399,949786,-1,-1,702815,-1,-1,878587,-1,178556,-1,322952,-1,156887,-1,-1,277580,157851,745793,591745,344720,392266,-1,-1,519635,167823,228960,336205,-1,835994,675043,371549,71833,585536,613619,-1,693596,491065,-1,-1,48136,-1,911872,-1,-1,-1,-1,536183,976062,-1,503862,-1,-1,599423,845664,-1,-1,-1,382586,-1,-1,-1,-1,637994,412600,-1,-1,-1,443788,-1,941271,-1,562766,-1,810802,-1,-1,-1,-1,98942,879819,-1,-1,-1,943223,884190,271397,-1,-1,948767,224952,-1,756256,-1,-1,-1,450533,398217,880336,389421,-1,681627,907399,743893,995083,-1,712317,-1,859420,-1,-1,-1,-1,-1,809237,-1,312448,384257,822968,539874,-1,530604,-1,-1,215596,210040,-1,134357,105678,948239,-1,-1,-1,660262,594804,849632,749417,-1,287845,772297,299179,-1,496411,-1,-1,333623,-1,944947,-1,433024,502906,-1,785408,-1,288865,692577,963082,-1,993308,-1,-1,900539,437815,-1,104665,-1,840946,184936,-1,435628,988868,-1,-1,-1,-1,-1,-1,354438,-1,-1,508286,603292,-1,-1,-1,839301,-1,185746,46199,-1,307454,996869,-1,239832,689700,796683,204602,-1,77393,640957,-1,573914,-1,-1,-1,-1,-1,-1,266892,-1,-1,-1,-1,541032,-1,-1,-1,935557,926239,985761,-1,769269,220987,-1,-1,140045,707478,-1,654469,-1,-1,-1,-1,174586,-1,-1,-1,-1,245238,-1,349895,372058,78524,317611,135514,-1,-1,-1,711532,-1,374839,520744,334887,392140,598840,519907,959311,-1,195767,776050,268083,-1,-1,-1,-1,-1,801100,-1,852731,280349,-1,583403,-1,535455,135299,-1,219682,-1,998629,336318,-1,782755,-1,586910,-1,-1,501030,-1,642329,881125,-1,-1,237642,-1,438751,277597,515366,855089,-1,627588,908469,-1,-1,-1,-1,-1,-1,-1,-1,425323,-1,-1,-1,-1,703025,-1,446240,913409,-1,202258,-1,-1,474859,952303,-1,20599,-1,-1,309689,-1,801777,479169,645516,-1,578149,852238,-1,-1,782704,-1,-1,-1,-1,636993,-1,187687,-1,746373,-1,-1,911305,700054,-1,-1,152370,560938,243076,538832,-1,771958,-1,49590,-1,939016,-1,907067,-1,648437,-1,-1,164666,-1,-1,167833,-1,-1,253542,-1,255762,-1,-1,-1,911266,423918,-1,146532,503283,-1,276016,364807,-1,-1,57343,339269,-1,132653,143979,-1,525415,-1,646225,564721,-1,489346,-1,-1,256958,246448,-1,499962,-1,-1,595923,-1,57520,-1,165683,306479,-1,723644,-1,204014,44807,-1,-1,-1,-1,-1,-1,683765,19489,-1,-1,231608,-1,563965,293358,-1,864023,-1,-1,205857,-1,-1,-1,-1,240772,-1,952387,791973,876780,89712,636245,-1,196641,770568,320383,259241,-1,-1,661623,341279,406966,551777,972364,168082,406759,-1,883444,-1,-1,207729,-1,34929,470839,364325,-1,-1,-1,976313,-1,-1,510987,4512,142188,-1,232726,400068,-1,-1,-1,-1,-1,247541,-1,-1,-1,171892,52968,589000,495240,-1,157146,-1,633647,396463,-1,160625,-1,294722,-1,484546,-1,192567,-1,824662,-1,861643,-1,683556,-1,-1,-1,624169,-1,418163,630566,140281,-1,300486,-1,771388,-1,-1,-1,696448,-1,-1,939776,-1,-1,-1,-1,-1,406703,317446,151816,560711,734310,44784,472546,-1,-1,-1,-1,-1,514998,815618,-1,-1,985530,-1,879359,114929,589288,-1,-1,426202,-1,-1,935347,942097,622387,-1,968921,822300,236348,-1,905654,-1,-1,-1,-1,320205,-1,-1,-1,130026,883131,619367,-1,227499,-1,351499,272043,52123,195798,274814,-1,-1,-1,-1,274186,-1,222673,-1,854148,-1,-1,-1,412383,-1,255508,827128,259742,40825,-1,680119,865715,-1,-1,-1,-1,735925,-1,-1,-1,-1,688664,-1,52726,-1,735546,-1,-1,948507,517708,-1,325008,127130,-1,682804,171452,543247,736939,303465,-1,412805,919034,555586,-1,-1,440075,996518,-1,649808,-1,-1,-1,901389,599587,-1,-1,845799,-1,-1,36478,801336,51520,-1,228505,-1,-1,866927,-1,-1,-1,-1,331343,680565,-1,463108,843220,-1,510851,985080,-1,758385,191034,-1,-1,-1,472345,-1,981097,-1,953228,-1,-1,-1,31145,553897,858903,-1,3660,491981,378753,787521,-1,631842,-1,849036,554882,-1,-1,487785,-1,-1,620189,356262,-1,-1,-1,-1,-1,-1,225451,-1,615087,-1,771074,69546,-1,923879,859118,-1,-1,248780,130594,568402,-1,684381,89941,-1,237546,607828,133824,218787,-1,258955,-1,-1,-1,-1,-1,-1,162477,991060,-1,586991,37318,11821,822843,787693,-1,122390,603979,-1,-1,167527,-1,-1,64586,-1,117748,-1,354307,-1,254353,348429,473477,-1,969428,-1,-1,588216,-1,-1,-1,-1,879310,-1,-1,-1,-1,146469,-1,37795,-1,-1,-1,807256,608579,-1,959166,386266,-1,153475,-1,383904,73360,780107,429299,910496,-1,-1,-1,-1,-1,122383,713929,791679,935901,8383,-1,-1,964192,225936,563107,-1,-1,470745,-1,243915,927344,118128,-1,318799,-1,290393,702042,-1,884901,-1,-1,-1,305473,692744,-1,646146,-1,-1,875587,539516,299452,142010,915086,-1,902736,871078,-1,-1,837754,-1,-1,431312,-1,-1,-1,-1,-1,-1,495553,-1,-1,504297,-1,-1,506156,184706,903872,-1,-1,-1,-1,-1,-1,-1,-1,-1,795415,979182,-1,246807,506045,-1,-1,-1,202313,-1,-1,-1,925504,-1,-1,45497,-1,-1,-1,-1,358309,-1,-1,-1,-1,-1,681098,896234,92357,111684,-1,563377,954786,-1,504180,52264,-1,25052,-1,924239,-1,-1,-1,446522,463220,-1,740783,-1,481704,-1,-1,-1,616770,334921,-1,748266,-1,182429,-1,277611,-1,-1,-1,-1,-1,688303,-1,117179,-1,780772,466185,-1,555184,768074,767939,75971,625642,25478,-1,-1,-1,127573,260574,-1,812314,538696,-1,841725,-1,298635,-1,-1,-1,106511,314495,631939,-1,931942,-1,-1,-1,739682,250846,519816,-1,-1,914552,-1,592400,653506,-1,-1,-1,803323,-1,520677,345778,854376,-1,-1,-1,-1,873956,427545,-1,237944,-1,-1,625475,-1,279614,-1,78899,703672,443012,423047,86414,-1,968354,-1,-1,721496,-1,-1,-1,-1,887732,891664,-1,420824,818214,-1,-1,485790,-1,-1,-1,-1,-1,-1,404263,683862,202414,-1,716951,849740,-1,-1,-1,-1,991699,295222,-1,-1,414064,-1,421150,167695,380372,-1,370948,180251,-1,-1,-1,-1,852762,-1,889877,462065,551273,153432,229929,-1,719229,32375,-1,-1,-1,236104,-1,333809,-1,-1,-1,923254,-1,105882,-1,-1,319465,827659,-1,-1,-1,137238,-1,106276,-1,191240,-1,-1,-1,-1,-1,-1,-1,648720,655876,749639,-1,-1,-1,51818,433978,-1,-1,387557,912476,699619,-1,198443,-1,-1,399111,-1,-1,138588,326836,383,-1,574311,808512,808404,-1,172544,954933,-1,-1,135257,-1,-1,807669,-1,-1,51216,-1,904630,-1,-1,81273,723391,376377,10759,583679,612300,738800,169047,688734,131972,117556,591417,-1,-1,487874,922126,-1,-1,-1,-1,-1,-1,-1,325091,-1,-1,143352,458994,-1,165184,715553,-1,167293,262521,853123,165530,-1,-1,-1,338963,-1,3681,-1,-1,135511,-1,895446,-1,9174,632796,799812,742064,-1,570315,822322,-1,845461,519832,678217,-1,-1,308946,386061,-1,-1,-1,-1,38049,-1,-1,-1,788467,575125,544685,113654,-1,198625,456961,-1,-1,-1,-1,873500,-1,-1,-1,-1,469036,-1,531915,-1,-1,522160,-1,-1,-1,883974,-1,-1,-1,-1,213091,607994,432738,-1,-1,-1,131764,842190,711998,-1,-1,-1,-1,198714,546304,13443,733316,-1,845463,148429,537057,977384,-1,-1,-1,564357,988903,418131,397534,87783,-1,29201,37102,455127,744156,360970,169376,826660,-1,-1,-1,-1,-1,-1,-1,-1,406675,403759,-1,-1,59055,63260,756787,-1,-1,-1,-1,767759,589758,-1,-1,-1,-1,-1,131881,-1,389669,413470,182611,-1,94878,-1,496512,444736,307905,371298,-1,363559,305165,146683,649183,117262,195678,-1,-1,-1,881980,364024,404975,960757,-1,820636,991854,861253,931554,345461,-1,207266,447766,-1,-1,-1,-1,857933,-1,-1,-1,-1,704560,927335,103614,435124,-1,50063,164668,521152,-1,759986,904950,-1,960248,599857,9724,-1,850047,-1,360685,-1,267609,-1,41649,590310,-1,113094,-1,284301,-1,663624,-1,-1,369150,257288,436796,882890,-1,-1,-1,-1,653116,-1,-1,-1,-1,-1,-1,450317,-1,316470,-1,582503,-1,-1,214369,277997,137502,-1,662985,-1,-1,766045,859509,-1,-1,-1,893242,-1,-1,-1,774101,279709,-1,827132,-1,494315,-1,705407,374949,-1,-1,-1,673176,-1,629298,-1,-1,368519,154097,7154,-1,-1,648442,-1,63039,469282,272909,321471,632757,870534,181925,-1,627265,501199,947148,-1,797390,668108,452957,-1,-1,698238,-1,242906,525159,463921,760327,744670,205504,-1,-1,396446,-1,74381,451446,623290,172182,996775,582690,112332,549149,215158,296388,436552,-1,-1,318202,-1,-1,-1,650590,-1,494240,309344,327131,-1,-1,128415,-1,-1,201337,228800,435683,-1,620603,583862,688856,526518,644413,759807,-1,-1,-1,-1,898416,-1,-1,466307,-1,182207,733657,-1,-1,815399,543269,-1,-1,-1,265393,-1,564569,-1,310091,559667,-1,-1,-1,693822,-1,-1,-1,823392,26853,-1,989933,-1,620480,377607,-1,-1,381418,668235,-1,866773,37426,-1,395110,-1,-1,355877,-1,-1,-1,362011,-1,703518,141832,-1,862965,-1,-1,191896,650078,-1,-1,696906,-1,619521,-1,-1,867283,139705,894916,-1,-1,968153,-1,-1,27660,-1,-1,-1,708273,398482,801752,-1,551123,236206,501493,-1,820619,573624,-1,714319,32254,715411,562911,666347,-1,-1,-1,-1,203872,408474,-1,-1,-1,5755,313249,230257,296109,-1,-1,933799,-1,212839,-1,-1,893050,541588,-1,12094,201219,254046,784146,250953,691714,-1,-1,234676,797722,38581,884864,-1,466603,-1,37433,-1,605274,-1,-1,889180,789841,-1,145252,-1,-1,-1,-1,481772,-1,118443,873776,392562,69632,-1,643952,742654,-1,176569,-1,491737,-1,329019,-1,478139,554638,197232,-1,973808,-1,-1,-1,316279,-1,-1,442140,-1,93696,706221,445980,193365,-1,816981,-1,70277,374806,-1,-1,431651,334275,-1,-1,-1,-1,511532,214652,555411,248864,244937,-1,896248,512146,-1,440480,818332,-1,976320,-1,467013,-1,772853,-1,-1,563823,571217,-1,61746,386254,825308,-1,-1,420592,-1,-1,279539,-1,356643,-1,117438,-1,804939,265320,-1,-1,-1,418008,-1,567232,-1,483510,881356,608888,-1,-1,-1,772431,814035,902877,706799,-1,-1,-1,893455,-1,713163,-1,831838,376200,994802,435981,-1,809960,87299,672305,-1,-1,-1,-1,700562,-1,-1,-1,-1,-1,-1,-1,-1,466304,-1,-1,-1,-1,976462,968529,-1,-1,169848,652855,962882,-1,-1,-1,-1,382138,187048,656119,-1,93269,-1,-1,290332,555539,-1,-1,-1,750391,46717,-1,64864,22831,-1,-1,-1,750004,-1,281583,404173,-1,-1,740407,-1,-1,978772,-1,381565,103008,222671,974938,-1,-1,879414,588583,265802,-1,271719,15126,268882,-1,139878,-1,-1,389666,959744,-1,825159,-1,-1,-1,898669,-1,226697,-1,742218,-1,969104,-1,-1,858141,137115,-1,-1,540208,-1,-1,592599,-1,258563,110646,-1,176230,447025,461275,-1,-1,-1,-1,-1,937667,126341,-1,628509,-1,933292,-1,149266,418421,179651,725455,-1,-1,621228,-1,608578,-1,-1,-1,-1,-1,204603,934163,418941,-1,-1,-1,951229,386012,-1,763267,-1,-1,-1,409482,364501,-1,-1,-1,-1,-1,581822,-1,-1,561593,622755,683075,-1,177701,994144,149781,689232,698060,722385,-1,-1,590533,116951,-1,81824,-1,-1,148086,81328,612377,-1,697335,381436,-1,-1,433212,-1,-1,-1,525479,986427,794746,-1,905121,24587,-1,943298,-1,-1,729232,-1,-1,-1,-1,-1,-1,658325,775530,-1,701265,186142,388974,-1,-1,-1,190476,-1,-1,617237,317645,385911,-1,-1,-1,-1,-1,469348,-1,491962,-1,807143,473537,454926,-1,-1,381836,860753,616254,941299,81317,428397,817852,-1,-1,-1,-1,603875,457049,-1,-1,588547,-1,-1,301207,-1,-1,775642,-1,-1,-1,432196,-1,97377,-1,659656,488532,-1,-1,725813,848652,258841,529926,-1,961595,-1,213749,-1,-1,948562,-1,521663,675400,-1,25823,-1,-1,496861,669334,-1,-1,-1,289249,-1,-1,-1,-1,-1,148641,145617,958856,-1,837062,336917,782857,-1,-1,-1,-1,105301,845658,-1,-1,562670,21516,971063,-1,3401,598905,436501,-1,257885,200666,-1,606991,701705,234293,-1,372552,-1,787604,434194,-1,-1,-1,659732,-1,-1,56991,-1,537478,-1,291303,151495,-1,745470,799953,-1,961816,-1,394530,-1,-1,834495,-1,-1,-1,508028,-1,519227,-1,-1,-1,-1,592904,-1,-1,-1,-1,414451,291348,636903,-1,563682,412242,427725,429967,-1,712504,-1,883267,343020,470014,572094,-1,334649,-1,-1,-1,-1,418974,-1,923835,954812,-1,-1,-1,-1,-1,528762,949845,150590,-1,-1,-1,-1,-1,-1,6482,882401,-1,654981,250545,-1,432206,-1,342871,566481,-1,235194,-1,108588,522996,-1,332027,199369,-1,591898,155924,4880,-1,-1,-1,-1,-1,619459,922710,-1,-1,194757,423662,-1,657770,-1,359846,154183,824168,-1,-1,-1,917739,-1,92022,-1,-1,978449,-1,-1,-1,602625,-1,824024,190626,383997,-1,-1,-1,513148,-1,-1,-1,-1,750494,-1,367636,592780,-1,981699,-1,-1,-1,374001,-1,-1,668743,-1,46245,181931,89609,-1,-1,654166,71104,-1,-1,-1,66210,508530,584874,66817,338140,947491,-1,629228,-1,984826,-1,742006,-1,480165,-1,-1,931462,668137,-1,88740,805539,-1,-1,737567,-1,848555,-1,-1,44026,-1,-1,355797,524716,-1,413841,-1,-1,898499,-1,-1,5670,588709,-1,-1,101041,-1,-1,-1,-1,941956,109917,97986,997621,-1,-1,-1,988878,-1,330372,-1,934382,-1,-1,233772,-1,327540,-1,-1,90153,-1,-1,-1,586043,859347,-1,-1,-1,-1,301570,466648,857514,-1,833523,-1,275923,-1,184825,210629,-1,108359,299220,601001,487071,569794,611675,273394,872182,-1,-1,-1,-1,839855,-1,839952,802162,-1,666443,821615,892907,-1,-1,-1,681596,-1,-1,478010,-1,609520,-1,-1,475898,-1,-1,-1,213323,-1,-1,-1,500228,-1,-1,491488,403631,693606,-1,752440,353370,-1,320562,708367,753856,-1,623799,-1,-1,329579,822305,-1,347351,999926,-1,889449,-1,-1,-1,556929,853624,-1,337304,-1,408511,-1,-1,586930,755650,-1,110892,-1,79915,-1,-1,-1,496661,685776,-1,42734,471485,627547,-1,-1,868581,-1,-1,-1,211719,-1,-1,-1,985454,-1,336835,842083,-1,215169,377644,241368,-1,197313,748873,143925,816927,-1,-1,-1,-1,111111,236423,216084,288694,-1,-1,-1,-1,921650,-1,-1,33511,422076,493530,-1,-1,-1,-1,975810,114924,-1,-1,-1,282905,-1,450376,975002,47557,412708,-1,167753,-1,618469,-1,271326,265945,-1,-1,-1,-1,-1,-1,142574,-1,39931,-1,-1,180237,-1,282711,-1,819584,726420,685949,662274,364463,519789,536548,-1,385795,274621,-1,538226,-1,-1,-1,-1,447661,-1,-1,-1,777513,312192,986851,445577,48976,159680,-1,-1,134547,368659,-1,417195,596681,-1,370126,897915,-1,432070,412847,-1,183390,650101,26816,-1,-1,-1,-1,44928,505303,416730,-1,-1,227044,44937,850829,915371,-1,646609,-1,-1,864734,54491,-1,5004,700752,-1,507904,-1,334821,-1,-1,-1,-1,-1,-1,-1,-1,402092,921431,415486,145570,65038,556229,853491,751992,180980,-1,-1,-1,-1,-1,-1,-1,-1,-1,139977,-1,50146,-1,-1,787778,576864,-1,11644,-1,-1,-1,695999,-1,434884,-1,-1,-1,828311,944032,478407,811514,778318,652430,12460,534812,-1,-1,164823,-1,480959,-1,287869,-1,963269,988168,780569,-1,149917,-1,558326,743328,-1,-1,386562,601986,771479,-1,-1,-1,816378,-1,175232,152814,-1,860491,793138,898140,-1,-1,-1,-1,151808,421072,-1,842271,701858,69940,511256,478962,-1,-1,-1,479244,350716,-1,849680,318941,771311,512029,-1,588144,621375,611907,663762,392282,989265,442071,432897,507880,342596,-1,114815,425426,-1,318656,-1,-1,-1,651574,508850,-1,-1,975065,-1,679950,891974,-1,-1,-1,-1,881152,-1,383021,-1,-1,396003,378526,-1,952541,-1,-1,-1,-1,957186,934266,811566,-1,-1,746387,683855,-1,635910,941985,-1,-1,-1,709410,330219,-1,458190,235315,166233,-1,-1,-1,-1,-1,-1,-1,33977,-1,-1,-1,-1,-1,-1,-1,31013,-1,962621,-1,373601,-1,-1,-1,448735,882895,101038,-1,703213,968819,-1,648180,690820,-1,97902,-1,-1,-1,-1,-1,875696,-1,616182,24737,-1,142490,903714,173095,720078,-1,860312,638950,266732,793460,-1,368431,761576,61963,639141,912580,-1,505645,-1,-1,-1,-1,-1,-1,-1,-1,272396,-1,17458,915084,-1,216541,-1,80774,-1,210677,-1,-1,147527,-1,-1,287216,825982,65138,578893,193678,-1,-1,-1,779214,-1,-1,60111,308348,31980,-1,144960,65929,139473,754250,953767,-1,-1,-1,-1,-1,-1,695833,-1,925010,166706,23356,213256,-1,343207,899186,170171,222866,-1,-1,-1,-1,-1,-1,241814,297345,-1,498486,-1,888408,115973,-1,-1,957638,-1,-1,-1,648980,-1,221071,-1,-1,950455,481740,-1,78975,748775,-1,194063,-1,347207,95403,56839,-1,-1,716372,-1,-1,-1,-1,693511,294563,452062,564278,530216,-1,323857,-1,-1,-1,801345,-1,380385,239759,-1,-1,568429,718117,-1,-1,676202,56430,133466,-1,21439,-1,922162,-1,-1,-1,-1,285106,-1,542295,-1,-1,-1,92384,970460,-1,-1,-1,607567,409570,-1,468821,548318,-1,-1,915090,753064,-1,298189,-1,-1,607816,-1,617146,822698,592665,-1,-1,-1,-1,-1,97322,-1,-1,-1,288544,38138,740313,733023,-1,-1,-1,724989,615463,411131,78270,780,940104,-1,-1,-1,-1,318592,-1,-1,107723,-1,-1,648997,-1,723056,-1,-1,-1,177757,-1,-1,-1,282705,421056,-1,-1,531129,-1,-1,299025,-1,224469,299016,-1,-1,878055,768651,-1,397600,360642,900786,910038,-1,872445,304146,584722,-1,-1,-1,439869,-1,-1,-1,-1,-1,-1,550089,-1,-1,-1,-1,28948,595655,-1,-1,139069,-1,-1,-1,-1,764248,-1,-1,-1,-1,344875,590635,508198,16997,127583,825451,-1,461511,444642,-1,-1,-1,939748,150448,-1,217101,445452,-1,408912,961404,-1,-1,-1,-1,701886,-1,-1,201477,501280,239174,991534,540205,363555,-1,164834,275000,173837,753600,345614,420455,-1,-1,-1,-1,347828,306620,31435,-1,94189,-1,-1,-1,-1,-1,691350,963224,24505,-1,2503,-1,-1,-1,-1,806518,839930,338536,316866,360904,-1,710144,866366,-1,747941,-1,705947,-1,417932,-1,472233,931107,-1,788840,-1,-1,-1,861630,-1,-1,-1,490804,-1,-1,-1,-1,411230,593342,212943,543878,35128,722188,-1,175856,540157,-1,-1,635138,-1,-1,634437,656389,512658,986716,129470,332429,-1,-1,796189,-1,-1,326062,-1,-1,245595,-1,229684,-1,-1,927113,-1,-1,-1,176901,818045,-1,-1,159882,117823,-1,569703,522595,-1,-1,602146,829702,-1,905699,123628,644766,113462,809906,643751,-1,-1,-1,780292,31487,-1,111807,835262,994286,885085,937413,-1,-1,923399,-1,414190,821097,794415,223275,860220,773509,-1,235781,-1,811013,-1,-1,-1,804165,844726,-1,994080,-1,268382,-1,344216,178495,-1,-1,-1,-1,368864,-1,-1,669250,837847,-1,-1,35382,122620,-1,570252,-1,-1,228396,-1,914925,-1,-1,609425,-1,416674,-1,-1,-1,478488,972679,-1,779725,-1,606018,411823,-1,-1,341942,-1,147004,210318,329455,289657,-1,-1,194832,-1,-1,693882,410478,-1,484900,46952,95193,-1,788643,343175,-1,-1,-1,-1,-1,982269,-1,-1,-1,-1,-1,-1,965453,-1,-1,409573,-1,995575,-1,806880,694763,472150,-1,660503,599549,-1,-1,-1,881997,-1,966784,351073,367005,504184,825151,-1,-1,-1,543369,637590,-1,-1,-1,186031,-1,430741,-1,-1,321404,659506,819270,-1,-1,745324,463740,-1,-1,535882,-1,919632,741564,626447,629044,-1,-1,-1,-1,-1,765473,568824,-1,-1,-1,978885,-1,329104,433917,-1,498305,660339,-1,-1,733076,404134,-1,586232,749823,579246,-1,-1,583222,-1,10536,634464,153771,374205,-1,983319,-1,-1,179137,392525,209501,327487,57021,998993,-1,136305,552784,447015,979833,-1,914144,-1,796049,-1,-1,58418,516987,-1,-1,-1,-1,82401,-1,52903,258267,488940,-1,-1,-1,-1,723932,439250,-1,418355,-1,16721,42749,453799,698328,520820,534915,-1,411471,223217,348491,987904,-1,-1,573350,738809,-1,354639,-1,-1,851510,245315,-1,-1,184974,712556,522801,149438,518499,-1,-1,656818,-1,-1,205771,46262,-1,566683,61287,287116,908575,-1,-1,-1,-1,17393,646403,530726,519618,-1,-1,-1,579646,-1,654706,368109,269081,544952,-1,246599,483679,683869,332220,98642,105713,978378,-1,-1,-1,-1,22668,429097,-1,-1,-1,-1,-1,680377,-1,901725,448930,618258,267684,-1,-1,562431,507628,261360,561994,-1,-1,215473,-1,-1,574711,-1,-1,633272,-1,406588,-1,878752,686487,654532,-1,399268,-1,354421,516101,-1,953647,232026,20429,-1,843994,-1,857650,-1,-1,458346,78038,867647,394538,438842,-1,542481,370006,519325,-1,-1,159529,814042,-1,166111,-1,34287,624968,-1,56381,-1,643249,-1,210755,16733,365801,-1,-1,-1,506705,-1,-1,772402,-1,646506,-1,-1,38792,474663,-1,-1,684031,451007,-1,393592,-1,-1,-1,-1,241751,-1,-1,-1,-1,820559,502088,738240,-1,-1,799992,143957,231522,140222,-1,760659,-1,513497,-1,-1,-1,96492,195955,-1,-1,781450,-1,576118,878676,-1,-1,-1,525981,-1,40396,184803,572782,-1,-1,-1,-1,-1,-1,-1,195647,647574,337578,469303,-1,216690,-1,-1,87199,184162,574296,966812,-1,659012,807947,-1,-1,-1,-1,906871,659677,379901,-1,500985,371909,-1,-1,-1,-1,-1,426395,887258,858976,282230,429577,-1,54090,892606,-1,-1,510524,-1,800855,-1,608996,-1,-1,-1,-1,-1,-1,-1,817326,602025,-1,659894,223627,-1,-1,480975,123354,192031,-1,161724,-1,-1,102014,-1,-1,-1,-1,910226,307124,-1,346294,915047,334966,-1,-1,-1,486142,-1,-1,10793,379150,240331,681809,-1,98662,-1,815572,175895,-1,217704,925978,-1,423292,-1,-1,-1,299647,-1,455285,721804,-1,249464,690776,-1,434342,114876,-1,-1,465686,-1,-1,-1,-1,297676,-1,448503,693668,-1,-1,838817,43680,372787,915326,-1,-1,962661,856971,-1,-1,-1,24979,-1,-1,945098,-1,-1,761156,-1,-1,357545,377089,-1,-1,799968,-1,382719,-1,-1,-1,-1,-1,748702,878428,765345,12330,453339,-1,-1,-1,-1,279089,673984,-1,276483,-1,-1,-1,674554,-1,190815,-1,-1,437456,867869,164283,802909,-1,495747,-1,-1,763752,209147,668106,-1,293865,-1,-1,-1,976374,128859,66681,956398,955794,-1,-1,549635,-1,188191,-1,750821,-1,98790,958230,392309,-1,688317,-1,265440,220809,-1,177862,-1,76583,-1,344865,869213,906684,-1,314940,405171,-1,-1,-1,-1,140103,642076,-1,-1,-1,-1,-1,385772,72261,32454,391957,689455,-1,-1,-1,281520,-1,-1,573419,960210,-1,899161,735163,296670,381360,-1,625927,-1,930275,318909,-1,634049,-1,261986,489725,-1,-1,360261,362792,-1,-1,677547,-1,866153,271877,718698,-1,403384,781426,-1,343781,753190,759235,-1,-1,-1,-1,378175,-1,842226,746553,607187,-1,65245,-1,423390,697862,861919,-1,111960,467516,-1,647962,44890,-1,-1,-1,-1,763419,-1,884830,-1,-1,-1,913881,-1,-1,181067,894399,947051,330299,-1,286601,-1,17308,752826,-1,445203,218151,65153,677,658180,496059,-1,-1,121743,-1,-1,-1,-1,372956,-1,910094,350834,272258,591640,142769,-1,972796,-1,-1,-1,953116,-1,145993,44051,981154,587006,876136,-1,-1,777170,-1,-1,681567,-1,-1,-1,671481,446976,906410,203345,393270,207579,115455,-1,-1,-1,-1,-1,-1,451259,450915,-1,897782,-1,724716,384166,871714,-1,637664,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,346290,-1,-1,774384,-1,-1,558183,565914,279902,266519,-1,-1,-1,410660,647297,155904,671595,511070,-1,-1,558678,288720,-1,865743,755162,38570,368805,291716,-1,479956,729753,-1,417331,500029,703627,-1,326847,-1,-1,-1,919760,-1,-1,451656,563701,850385,738727,328369,141824,-1,713457,696982,82044,497709,676899,-1,879197,786093,12423,-1,372835,-1,317762,12686,-1,-1,-1,-1,-1,-1,-1,-1,-1,149078,-1,-1,-1,953788,735601,535495,608480,644273,680979,743900,-1,442946,-1,976492,151277,900234,182294,-1,42930,-1,938246,713060,-1,-1,637672,129917,270143,-1,985796,-1,485492,-1,328575,-1,-1,-1,-1,907289,862251,910062,310501,912117,757343,166319,-1,879479,355938,183932,-1,-1,764018,-1,-1,-1,-1,422630,-1,-1,169043,12612,-1,-1,-1,-1,-1,-1,679521,-1,543460,-1,-1,153734,-1,-1,-1,-1,91823,-1,342979,-1,-1,597053,-1,-1,752228,-1,-1,-1,-1,28019,698191,409914,-1,-1,-1,-1,418987,658732,-1,510901,45667,994731,-1,340667,-1,-1,-1,-1,-1,176721,832497,-1,766181,963623,750719,975948,592402,-1,295368,215893,608925,-1,-1,95414,691193,1760,-1,-1,87217,995654,243187,-1,335869,714588,612594,-1,-1,-1,810206,655779,-1,825881,272685,-1,-1,347325,295921,737846,512899,735870,520173,557703,-1,-1,169147,-1,587934,-1,-1,-1,338263,-1,571579,-1,308787,-1,-1,90125,-1,671252,-1,-1,247388,-1,-1,944574,-1,-1,372683,-1,306124,959890,632473,151379,387112,944816,-1,-1,-1,-1,73381,-1,-1,-1,-1,-1,-1,-1,621699,-1,-1,-1,-1,517469,245847,378230,181519,-1,558783,-1,192650,-1,-1,5683,-1,-1,416317,240383,406200,13937,294843,-1,-1,-1,406867,593212,-1,-1,98745,111497,321609,-1,175199,243827,525601,-1,-1,802438,-1,812568,-1,681417,71306,639506,-1,667422,-1,-1,-1,-1,704972,40441,996219,-1,-1,621047,787908,531827,-1,-1,-1,-1,943322,-1,462664,87383,-1,754563,58898,11205,-1,540766,628711,214776,-1,315771,-1,-1,177907,260545,-1,505694,-1,-1,992075,860807,-1,-1,293708,796451,-1,-1,120315,199494,122538,-1,-1,-1,-1,-1,525875,-1,731340,285389,-1,463292,-1,-1,562184,-1,-1,-1,-1,755843,-1,532460,-1,225444,206537,433513,-1,855748,576921,945314,-1,42878,169899,780260,836775,-1,-1,818228,646518,295425,-1,391190,840900,975360,671168,-1,223745,-1,825036,290414,-1,-1,-1,-1,-1,-1,-1,401417,776335,846730,723865,12252,-1,-1,-1,-1,-1,-1,608377,-1,-1,-1,839332,-1,676171,-1,619979,725355,243761,-1,551629,38503,-1,-1,800018,-1,20833,-1,-1,-1,627626,602002,561486,138553,232011,-1,141612,-1,750036,-1,622651,819279,399346,-1,577959,620838,566971,983649,40641,832972,-1,83552,37045,668223,35201,-1,390864,-1,823732,666542,889405,-1,-1,-1,-1,541106,347494,964929,-1,474595,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,482712,282246,201969,-1,977032,4578,-1,-1,362835,761097,-1,-1,-1,-1,-1,844667,52589,959299,-1,12142,436053,-1,-1,76281,833149,539939,-1,925740,-1,458728,-1,-1,290155,-1,-1,467359,245618,113365,387872,-1,737424,-1,420967,658728,588358,-1,948456,-1,-1,-1,-1,235803,390402,-1,-1,359405,-1,782845,-1,-1,998170,-1,608223,-1,687578,-1,628933,-1,62333,-1,697835,913378,275631,323771,-1,-1,525798,88894,877785,-1,-1,-1,397150,-1,397357,35206,-1,801937,506192,471791,-1,424509,754677,180666,-1,-1,557482,-1,-1,340356,151265,914068,188151,-1,32931,-1,-1,-1,588079,399499,419316,-1,758519,-1,268744,160550,-1,-1,-1,208666,-1,419891,542242,-1,307827,-1,-1,611476,508421,123366,-1,6640,251190,-1,-1,511220,152990,-1,495030,-1,-1,-1,225604,764858,-1,-1,844414,-1,-1,-1,397368,-1,492177,209586,652566,367493,865080,-1,739796,-1,-1,-1,-1,-1,80418,987285,783819,-1,577895,-1,745141,-1,777411,902571,84421,-1,-1,-1,164999,-1,861028,485992,-1,877443,-1,404369,728153,431397,-1,-1,598178,-1,-1,-1,437343,759946,-1,-1,-1,-1,-1,44422,-1,-1,826226,-1,-1,994596,-1,-1,-1,507590,108997,-1,816488,577774,164139,-1,931369,361982,428024,-1,723455,864192,-1,-1,261917,-1,677347,30642,-1,-1,-1,798178,473349,-1,-1,562054,968577,-1,-1,-1,160539,-1,-1,-1,-1,-1,930766,-1,555794,657562,-1,-1,790500,369857,-1,-1,-1,-1,-1,373689,238423,-1,716030,713273,-1,346406,872967,866561,-1,140228,31298,290121,657347,-1,548845,457823,-1,570763,968626,-1,-1,92236,97400,-1,-1,-1,-1,457857,90490,-1,-1,-1,609455,648481,-1,-1,-1,-1,828304,387988,673237,-1,323221,510915,486949,-1,-1,841114,514587,-1,-1,148064,814958,-1,-1,97390,-1,-1,-1,897115,49170,937022,316591,781232,353657,-1,756819,-1,581288,-1,-1,257869,-1,83605,-1,-1,-1,467900,-1,-1,-1,863377,-1,-1,17779,-1,-1,-1,529595,530201,-1,-1,-1,-1,434813,669509,622474,764863,755357,350304,-1,623657,-1,400672,-1,-1,-1,647609,-1,-1,-1,-1,139086,-1,77569,574942,-1,-1,-1,463774,671837,383301,668988,-1,-1,508400,-1,730625,437484,-1,733656,-1,226143,-1,-1,999753,-1,-1,283172,-1,-1,885520,432568,567226,761810,900018,-1,-1,-1,866653,-1,528076,169885,591987,-1,-1,-1,597457,659683,192738,-1,555382,30942,-1,417405,94130,-1,430239,844000,73480,145932,-1,577931,817928,420256,-1,746455,-1,490971,241442,664731,133170,626019,945957,-1,-1,-1,766450,430395,-1,406608,908276,-1,767905,358949,119556,696690,442936,743149,136815,-1,-1,907937,782821,252622,-1,-1,-1,961586,-1,64367,-1,-1,-1,-1,-1,323935,597395,699957,-1,-1,497688,-1,-1,622200,466024,-1,-1,-1,-1,-1,727730,227150,615639,838508,104890,-1,-1,-1,-1,-1,-1,-1,-1,36941,519975,615808,457671,43667,368776,559954,561325,-1,488564,-1,-1,-1,-1,616216,878013,945710,-1,-1,273521,855677,430790,-1,579390,707782,901020,177145,725986,-1,659731,-1,-1,-1,351909,896785,-1,304085,401852,153435,-1,643628,356267,997660,-1,164138,-1,-1,764769,-1,-1,880285,278091,954757,-1,227298,-1,-1,-1,821222,-1,-1,717660,543537,91849,-1,-1,885923,112262,738490,-1,-1,-1,873209,-1,-1,394951,951231,200513,-1,-1,-1,39048,-1,-1,-1,964429,756520,-1,549276,-1,-1,362452,696778,969487,-1,-1,652346,-1,731252,312009,8520,-1,418765,-1,-1,960347,495021,-1,106641,49793,-1,553165,-1,247716,-1,690802,-1,-1,-1,280444,47732,-1,266689,-1,136221,875300,-1,-1,979345,341618,82544,426267,877790,-1,460458,-1,-1,866433,-1,331636,-1,945171,-1,-1,-1,577961,545638,312188,-1,937272,-1,-1,544205,711946,-1,216458,-1,-1,-1,743079,206534,902547,-1,197105,-1,-1,9571,-1,566070,113347,861766,910661,-1,532605,900637,748205,-1,134284,-1,-1,-1,-1,-1,672819,-1,-1,-1,-1,886660,614704,-1,916004,300354,-1,883448,-1,-1,998041,194533,899806,768404,123569,464189,-1,401279,-1,701942,694602,622700,508513,918116,-1,933490,315892,686890,-1,-1,558649,-1,-1,884101,785200,782396,458880,-1,983695,-1,661106,346063,338533,-1,419814,-1,-1,235673,-1,515083,-1,-1,963194,-1,346489,-1,-1,-1,-1,-1,372188,-1,-1,785483,-1,-1,-1,-1,289901,564658,-1,-1,550717,-1,126802,-1,-1,494023,235823,-1,567984,-1,481487,100282,-1,518989,360953,-1,148466,913348,-1,-1,-1,-1,929063,445596,253803,778524,507728,800136,874647,22426,-1,255337,344850,42524,-1,-1,330086,-1,689084,-1,-1,-1,-1,111464,-1,344769,939731,-1,81249,922356,-1,-1,-1,-1,-1,206272,-1,804997,-1,917347,-1,-1,865437,-1,4233,-1,-1,231614,639186,-1,317460,724984,-1,449298,-1,-1,12050,457735,284595,411747,739364,-1,444790,516386,-1,45439,755862,-1,-1,-1,599762,304061,789908,-1,418558,-1,315076,70927,-1,551892,-1,-1,181642,-1,-1,912910,439170,99552,870721,-1,438029,-1,690809,511133,635846,661544,414534,722012,541383,-1,-1,798695,207609,-1,-1,434497,-1,772237,-1,647654,82173,227370,365448,351709,-1,167605,437737,313044,-1,-1,-1,41977,-1,-1,341231,92115,926070,-1,104806,-1,138435,-1,-1,-1,998587,271944,848974,948679,-1,-1,-1,223716,963143,-1,539818,741776,500807,-1,915233,505329,778204,435962,-1,692931,346440,44200,-1,-1,-1,970196,-1,-1,510876,-1,-1,-1,-1,-1,-1,939952,-1,-1,-1,539823,-1,-1,917722,-1,518135,-1,759542,394109,-1,531035,-1,-1,903521,-1,67215,-1,130542,-1,755462,-1,379086,-1,179640,165244,858334,-1,925020,-1,-1,-1,98613,729565,478883,520627,-1,-1,-1,580799,-1,500942,-1,-1,-1,363264,-1,-1,62671,659454,144744,-1,161553,-1,846871,-1,413525,142795,232969,-1,-1,633338,-1,273457,909087,-1,-1,552268,-1,576189,862166,143641,188332,75334,8762,414589,770002,-1,-1,672445,527604,-1,-1,431130,-1,-1,587434,208960,-1,-1,349087,765231,-1,-1,-1,-1,-1,-1,-1,888876,540471,76410,-1,683544,-1,964391,33902,-1,127008,870350,-1,373945,-1,-1,-1,951721,719957,-1,242261,-1,17613,995143,-1,-1,201592,823712,-1,-1,-1,788781,-1,192988,62754,-1,-1,-1,-1,296023,-1,-1,-1,15772,836408,665404,-1,293996,677964,-1,872391,592308,750361,723911,-1,-1,-1,253095,39859,577292,-1,-1,-1,-1,938405,764080,-1,886831,-1,99609,-1,573526,-1,-1,-1,802867,46851,-1,685861,-1,825120,-1,43565,-1,-1,-1,-1,602695,529976,-1,-1,710197,656369,357198,428118,610888,121352,362300,464217,379148,357878,829505,487826,-1,-1,683637,-1,859516,-1,682565,-1,-1,-1,-1,-1,303043,262621,178484,856810,722007,890583,61248,-1,-1,95361,502693,-1,868977,-1,870570,589064,326839,-1,388263,-1,325031,-1,-1,148388,551912,-1,246189,802971,-1,159626,842015,381988,-1,197813,121127,815996,229660,709244,469817,-1,-1,-1,-1,134562,-1,-1,-1,-1,285337,-1,-1,690724,-1,721842,-1,-1,250228,-1,963889,-1,-1,942079,-1,-1,782366,-1,954223,-1,-1,409634,-1,30766,-1,-1,387380,68428,934301,536814,964717,485275,103718,219428,-1,-1,-1,121211,-1,-1,142631,97367,-1,-1,696215,70405,759551,618668,-1,-1,966702,675505,-1,-1,512082,-1,144634,-1,839308,-1,-1,79002,-1,-1,907383,-1,674894,-1,-1,342569,-1,-1,275743,102695,-1,-1,-1,-1,-1,650841,926777,-1,-1,-1,-1,40379,-1,-1,-1,-1,-1,-1,-1,902473,-1,-1,478852,324145,400827,98437,695325,668662,-1,-1,-1,519473,-1,-1,-1,-1,733741,730784,928783,667344,-1,908120,617418,810273,-1,-1,-1,-1,6546,-1,-1,-1,-1,451499,-1,796152,-1,205602,-1,-1,851855,996704,652977,44467,464426,-1,167113,369924,-1,997848,-1,-1,-1,-1,-1,907325,111422,-1,-1,-1,-1,36440,-1,683714,384957,188433,-1,66353,866711,-1,-1,714537,-1,-1,-1,441714,369940,260264,889935,-1,-1,234929,-1,-1,-1,-1,-1,847032,-1,749536,-1,789238,744609,-1,20961,-1,25872,-1,193357,-1,603349,-1,-1,991566,-1,-1,790634,704049,-1,-1,-1,-1,-1,-1,937818,314821,610733,-1,464783,250063,-1,-1,876299,255032,-1,-1,915345,900456,-1,-1,-1,-1,610311,-1,8150,128181,844028,-1,665888,23206,412639,-1,85236,671540,-1,620044,431953,-1,-1,997056,-1,175073,984893,356777,-1,151732,589686,-1,-1,694064,83194,-1,-1,7135,-1,828346,92049,567906,-1,-1,420938,788472,-1,472533,497767,-1,-1,734505,958991,-1,-1,-1,-1,553911,-1,-1,293632,23722,171435,-1,-1,430056,929639,-1,381433,-1,531516,-1,-1,-1,-1,-1,-1,-1,696599,286062,646560,-1,796867,-1,-1,-1,351005,596643,-1,-1,576105,-1,739969,-1,-1,711525,-1,442237,-1,987578,72731,805683,-1,673575,973150,856818,-1,-1,261757,662032,857238,535038,-1,259904,580719,-1,669991,-1,-1,-1,-1,678696,29874,261215,-1,628923,-1,-1,698530,451214,-1,-1,-1,275785,-1,708677,-1,46017,-1,32062,-1,-1,-1,-1,-1,540093,-1,-1,-1,912089,-1,-1,-1,136584,-1,825275,-1,597358,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,227701,-1,423447,-1,656511,-1,-1,-1,-1,514944,203543,-1,450286,-1,425434,-1,-1,112529,349466,871052,-1,336819,-1,947979,226059,-1,-1,-1,671048,-1,-1,89123,-1,-1,-1,789811,-1,-1,-1,-1,982129,179324,398051,-1,-1,-1,187713,251356,-1,-1,-1,-1,59013,-1,81616,477684,462663,-1,-1,368913,-1,-1,-1,547422,-1,-1,713026,-1,-1,203536,-1,-1,667628,81538,622657,597508,941471,353320,-1,-1,552299,-1,434985,461702,-1,-1,892395,-1,-1,843744,355703,611026,-1,728227,521949,-1,815274,714905,-1,921515,-1,-1,161835,915822,-1,-1,203627,-1,325981,-1,667869,-1,-1,636769,-1,-1,700465,-1,470420,-1,247499,928065,-1,219331,478837,-1,-1,-1,906893,201653,-1,-1,-1,360149,352005,561315,-1,275398,260776,594522,537782,-1,-1,-1,508072,-1,-1,-1,-1,-1,-1,188252,-1,628129,830776,-1,-1,475150,-1,669628,-1,-1,446538,-1,299274,-1,-1,-1,-1,129493,-1,384393,115098,706056,682179,113152,-1,-1,-1,-1,568236,830086,-1,-1,-1,947976,132919,-1,817049,-1,834203,65174,8160,-1,796166,815981,530161,797267,640029,770259,-1,268759,-1,274150,604655,137112,-1,-1,558077,278968,333718,-1,161276,663690,-1,822070,24351,824886,-1,-1,-1,74364,-1,783312,-1,-1,-1,-1,935325,-1,460674,374995,169120,368139,977064,-1,545491,753577,-1,249883,-1,998030,661989,-1,-1,-1,92912,-1,143435,489872,475821,-1,466953,-1,-1,390544,429854,-1,-1,-1,416349,904883,566621,70757,103232,-1,49579,347661,71088,969287,812140,-1,-1,-1,818475,-1,-1,-1,59542,-1,305810,-1,-1,-1,-1,-1,-1,-1,-1,520030,-1,-1,-1,649383,638859,-1,-1,-1,3135,583356,-1,-1,862781,-1,790850,424748,970532,979772,-1,351901,762397,330240,287853,-1,-1,610163,487911,962745,-1,-1,989205,620938,-1,-1,153405,915974,588238,21508,461851,201874,-1,-1,-1,102940,-1,-1,-1,-1,748414,-1,852154,-1,-1,-1,236248,305763,-1,888759,959794,438140,668411,78596,-1,250090,914449,240000,-1,-1,-1,20239,133195,989220,-1,93821,573301,-1,-1,132249,555510,-1,-1,723407,633574,-1,397532,-1,-1,222943,-1,37052,930582,995201,889289,-1,897383,-1,-1,-1,347108,783724,719665,-1,-1,-1,-1,-1,370643,336338,-1,922404,715460,840363,-1,759699,-1,-1,288503,288851,839168,672847,849087,-1,-1,931383,-1,-1,-1,-1,378349,-1,841698,-1,-1,-1,-1,463744,372971,-1,-1,-1,-1,180045,-1,915053,401685,-1,-1,-1,-1,-1,-1,920253,-1,709526,482695,365382,235133,-1,542662,313446,-1,-1,648675,687325,-1,-1,-1,620092,-1,-1,523453,-1,202289,-1,-1,-1,607424,-1,572410,-1,658019,-1,333958,-1,-1,264876,17440,428676,740403,753530,-1,-1,-1,-1,-1,965836,653461,761269,104518,712338,-1,24267,-1,-1,-1,-1,-1,807008,999833,-1,95940,-1,-1,-1,-1,-1,155782,10194,-1,-1,54966,-1,442080,-1,-1,838254,-1,-1,-1,-1,996300,-1,358488,-1,-1,13452,430589,305322,-1,-1,54131,599103,34574,-1,-1,-1,-1,228415,858184,-1,-1,610297,-1,-1,-1,-1,-1,796597,538939,-1,-1,-1,-1,875723,-1,-1,106256,-1,994457,-1,-1,810262,-1,-1,-1,514316,-1,-1,-1,-1,-1,250754,657609,-1,228736,995465,-1,855295,-1,-1,-1,614096,879378,-1,159486,994682,-1,838382,147185,-1,128483,876124,767614,906376,-1,579703,771056,-1,151363,-1,768820,-1,700916,-1,-1,660472,476167,-1,974298,-1,-1,122005,445707,-1,-1,513636,6526,214048,-1,-1,-1,480623,-1,129233,-1,-1,590889,182374,203921,912713,-1,456506,-1,-1,73931,415133,-1,-1,-1,244613,-1,-1,-1,-1,-1,729966,-1,-1,-1,935378,-1,813493,-1,-1,407085,649722,262805,-1,-1,-1,-1,-1,545742,-1,846305,-1,370778,-1,673640,-1,435006,-1,530459,233751,-1,-1,140438,939569,-1,-1,-1,484659,430330,138613,-1,-1,283623,-1,-1,-1,19023,756554,872643,-1,44832,877421,269219,192874,11189,-1,-1,-1,-1,711635,-1,247384,171239,-1,886512,-1,-1,-1,-1,228873,345145,85168,132585,-1,-1,775028,344578,108826,778275,705832,325979,-1,-1,-1,640333,227464,222870,735791,-1,-1,-1,-1,79807,905716,-1,534773,-1,-1,769422,397832,623127,534728,689386,-1,572831,-1,539082,-1,-1,789296,-1,632177,-1,804655,497952,394091,514027,594128,307105,401412,203413,-1,86751,746571,117353,601499,330391,845176,613087,-1,-1,-1,230003,-1,-1,-1,-1,-1,221658,174197,36071,-1,24362,-1,527019,-1,655715,-1,192152,-1,-1,-1,66507,-1,443847,436617,360006,-1,472098,857915,248978,611919,753274,767659,665081,25729,926880,231232,-1,755323,94536,-1,688964,127134,-1,51094,45068,221886,247236,-1,-1,390583,-1,317843,65652,-1,672083,-1,66123,903640,-1,147304,446314,4949,31865,-1,-1,-1,-1,850045,-1,-1,914754,-1,754287,-1,957256,652778,482962,281826,353761,-1,-1,476830,423965,-1,906979,-1,166846,-1,-1,830989,102407,-1,-1,-1,417433,-1,-1,323694,829022,745687,-1,386162,510214,659323,763930,601470,-1,-1,847752,-1,682967,-1,-1,-1,544162,701289,160718,249463,-1,259080,134466,741609,-1,-1,-1,-1,-1,469162,326622,228522,65309,170016,592530,-1,-1,606653,-1,953264,794321,272494,92458,721218,236393,-1,719373,-1,-1,57949,892327,692165,-1,-1,948658,648252,635933,-1,588446,-1,453049,655948,-1,-1,-1,-1,-1,600386,-1,-1,-1,487201,511844,-1,-1,-1,684160,-1,-1,211273,-1,-1,-1,-1,689370,-1,-1,21343,446481,95513,-1,560630,302106,670043,-1,-1,635129,304478,216824,-1,-1,-1,886932,251613,-1,951315,402130,-1,-1,-1,-1,-1,-1,683370,387084,736009,759895,-1,-1,297487,148371,224895,71491,369049,227764,591442,-1,500394,-1,-1,-1,-1,-1,-1,399407,25690,-1,918059,728303,-1,273641,-1,8774,445890,-1,-1,482542,386024,442818,373325,-1,-1,-1,-1,197849,-1,-1,689397,220333,-1,-1,-1,441896,89148,-1,897648,668805,-1,-1,-1,-1,417822,533348,288481,276858,-1,586418,-1,-1,-1,643295,-1,495771,-1,-1,-1,-1,55463,-1,87695,338806,919122,-1,-1,-1,-1,-1,702226,-1,911969,662996,398243,-1,910314,-1,-1,-1,-1,995182,587694,953631,-1,953492,966430,-1,-1,559017,505540,496337,769642,737494,-1,217302,-1,265763,909027,-1,-1,767353,755246,-1,-1,771503,-1,-1,288428,548905,553262,785133,615129,-1,-1,327813,419041,-1,-1,300483,529801,971629,-1,-1,201806,779378,-1,-1,768501,714788,129412,-1,-1,556130,-1,19422,-1,877559,-1,-1,129987,-1,-1,-1,834890,310014,539051,882684,238971,-1,416532,334037,81759,-1,-1,335860,288823,770557,-1,-1,906409,-1,533729,106153,720431,892742,-1,242560,826536,372667,-1,661496,-1,-1,-1,-1,171287,-1,-1,801215,-1,978816,667115,-1,-1,-1,353840,-1,-1,929432,36268,-1,430526,-1,13280,346555,-1,-1,-1,510280,799320,-1,955766,-1,689113,297991,-1,-1,-1,-1,192934,-1,222264,546573,88533,300581,977484,107729,-1,-1,88831,791667,555431,281427,110255,-1,-1,43160,537505,-1,255027,625313,-1,427856,-1,648519,-1,-1,858938,-1,137998,-1,548764,509879,-1,866429,-1,543343,-1,-1,-1,467684,-1,-1,-1,755348,83247,132662,-1,-1,-1,-1,-1,-1,605308,566332,399183,-1,754788,-1,516094,-1,220999,-1,850388,81011,-1,-1,688176,989968,817702,-1,958139,-1,792013,42759,-1,-1,851408,94243,-1,-1,-1,725247,-1,413083,709127,-1,549088,-1,264250,-1,-1,-1,-1,-1,669710,147458,-1,452716,476297,970638,64102,-1,475465,586750,137125,29364,574896,-1,827038,904841,-1,-1,986525,669256,-1,-1,890761,401211,-1,-1,368098,139373,101340,603647,724412,-1,-1,101397,752316,-1,-1,834402,361806,-1,164255,700006,-1,-1,-1,-1,-1,-1,428156,795792,-1,474475,864240,807677,900976,-1,-1,568566,961538,-1,-1,-1,-1,708059,716486,-1,-1,289144,39795,462331,-1,-1,766524,-1,848559,-1,161661,-1,-1,952548,545554,41832,-1,898619,-1,300423,-1,-1,-1,-1,-1,-1,-1,-1,103505,168022,883186,662819,-1,217138,503078,244245,28172,-1,-1,-1,-1,740784,-1,-1,715527,15200,-1,203950,379691,-1,377662,534889,126157,317334,-1,-1,-1,-1,-1,324155,-1,529265,817344,-1,786208,446800,-1,-1,-1,-1,466329,310840,923740,375852,942083,324629,433336,325289,379609,-1,-1,740495,527673,667689,-1,-1,591644,-1,-1,958471,343107,-1,684999,697710,-1,-1,357762,-1,-1,630280,-1,-1,-1,366703,98427,962435,142399,-1,878028,744649,111726,866125,595381,-1,-1,-1,571175,-1,-1,73256,142627,757398,-1,-1,323708,923553,-1,250554,-1,145172,-1,-1,-1,132148,-1,-1,-1,-1,480447,-1,-1,20831,900548,788929,984862,702884,96151,-1,456947,943087,356995,-1,-1,-1,-1,333403,604011,-1,-1,7262,-1,252595,924177,-1,844508,858782,-1,124883,-1,-1,-1,-1,-1,-1,646902,-1,687413,-1,622017,-1,-1,63340,-1,-1,615874,-1,-1,541957,120872,447252,382793,-1,-1,-1,-1,833325,-1,16616,76798,253626,-1,-1,270034,-1,232196,115512,5694,-1,108960,805030,-1,480080,-1,-1,-1,237099,91996,-1,21806,130600,801934,-1,899013,-1,-1,857010,-1,-1,-1,351026,838168,-1,341565,-1,618755,-1,-1,-1,-1,831613,-1,660192,459380,529179,-1,775667,-1,-1,377454,320950,292142,841443,-1,-1,-1,206346,968441,-1,85896,974432,634215,550940,985511,297860,506509,-1,379338,-1,-1,172886,-1,-1,-1,225668,-1,609247,-1,467414,-1,771330,448528,-1,939830,248957,93801,-1,-1,-1,727323,-1,349950,-1,68796,125355,842759,-1,501426,-1,-1,934910,-1,-1,-1,-1,940796,724081,-1,448099,239406,-1,-1,818933,-1,-1,776082,-1,72838,199156,36895,568100,-1,720750,-1,-1,-1,584652,805146,394094,-1,-1,300717,-1,-1,424519,-1,730167,-1,-1,984222,273083,-1,911700,-1,242242,-1,-1,-1,265068,-1,-1,634377,-1,-1,-1,-1,-1,-1,-1,863328,-1,-1,98895,876671,675773,213926,-1,267534,-1,-1,-1,-1,886955,-1,347057,526938,89241,182449,826004,374727,577696,-1,637257,-1,23634,-1,769660,-1,-1,-1,-1,-1,309608,282944,332146,-1,-1,-1,934399,-1,836971,-1,719423,-1,362604,-1,159547,651934,798456,515396,942100,-1,-1,-1,-1,-1,912779,-1,-1,-1,542920,36014,-1,-1,-1,534012,386696,295980,850854,250674,-1,-1,45273,-1,-1,-1,859874,692402,487725,-1,886531,-1,617923,-1,239085,610215,-1,-1,114761,-1,-1,-1,479375,-1,577652,750916,336254,-1,923309,444293,637576,484525,158656,576530,26375,-1,504218,-1,867299,-1,234253,7528,795251,613970,-1,701496,344780,240002,955382,128271,-1,695292,-1,422424,-1,348407,720140,371617,814082,-1,644039,-1,987329,359381,-1,-1,710450,-1,909402,263436,326894,-1,-1,858218,-1,695128,-1,88437,-1,414809,-1,980436,-1,-1,-1,-1,-1,-1,-1,-1,-1,106426,564872,-1,727764,-1,-1,-1,-1,-1,-1,130297,495112,-1,352327,924350,859314,315604,144920,459974,-1,633957,-1,640868,-1,136681,-1,901417,366950,916949,931182,382080,668885,718441,-1,-1,254574,-1,382185,-1,771538,771440,204019,987801,-1,96431,-1,24731,336633,-1,-1,-1,-1,813979,-1,448413,-1,221773,646066,-1,-1,210208,146272,-1,569668,-1,862036,-1,-1,-1,197820,715560,125720,177281,890934,-1,-1,-1,-1,-1,930490,-1,567449,-1,-1,861695,671385,364192,-1,-1,394709,-1,116578,-1,-1,-1,815093,-1,596925,-1,-1,770951,-1,429855,-1,352152,-1,374314,-1,-1,-1,889965,-1,152072,600725,941834,580149,-1,-1,184087,-1,167127,516498,-1,-1,123368,640478,389637,141691,-1,949828,-1,837427,14483,815833,-1,-1,127073,-1,-1,-1,-1,626055,361695,259597,47155,340192,-1,44788,-1,658227,-1,250267,665590,-1,-1,-1,-1,290644,-1,726288,-1,109658,-1,311447,229630,-1,-1,663826,-1,898220,-1,53584,441089,957211,-1,119459,513478,-1,347177,-1,426283,-1,277640,798367,495694,-1,968414,-1,-1,-1,-1,386080,-1,734372,769706,919851,-1,212574,68723,539907,-1,726937,234361,-1,-1,-1,-1,-1,257998,41294,-1,683570,879484,-1,237340,253062,148448,-1,333393,519892,-1,-1,783711,501648,266507,-1,97143,564570,-1,-1,-1,485036,857323,-1,-1,-1,590658,972440,-1,-1,497942,545668,-1,247556,-1,155846,-1,-1,-1,195662,-1,-1,-1,677046,183823,686436,-1,26451,40757,-1,-1,-1,431562,-1,177851,524810,691542,893394,-1,-1,-1,-1,-1,-1,-1,-1,341609,-1,196939,-1,186737,164266,-1,-1,560154,-1,142055,843776,373134,-1,-1,-1,-1,873079,5278,330645,584342,990682,-1,-1,246929,-1,-1,-1,22338,-1,-1,-1,-1,-1,750299,595156,-1,-1,153720,-1,-1,-1,343695,-1,708925,-1,708658,-1,-1,622570,-1,-1,-1,251232,-1,-1,-1,-1,628335,-1,682509,846549,-1,-1,894257,-1,-1,-1,865430,-1,721166,-1,798736,45500,-1,75143,157408,747768,961276,-1,-1,802025,-1,246643,-1,387771,116320,-1,241706,-1,664725,702349,-1,181205,-1,198252,-1,-1,306982,481471,-1,435242,76999,855945,-1,979839,573730,-1,-1,-1,-1,25989,-1,320690,454232,98262,670442,347639,-1,-1,-1,888512,-1,-1,-1,-1,257637,-1,-1,901886,-1,812050,136767,-1,-1,-1,-1,361023,-1,329217,-1,85056,935081,545818,-1,565604,128268,-1,-1,733596,446441,776465,476952,404040,408229,-1,-1,780897,-1,-1,969748,967331,708453,593332,243080,-1,23752,382470,-1,-1,-1,-1,-1,264747,-1,-1,-1,507969,-1,-1,-1,-1,-1,186048,859412,-1,-1,953738,-1,247805,27002,-1,690604,-1,894660,294416,626017,743004,172132,114989,12313,184801,558053,-1,-1,117754,375024,-1,-1,31259,-1,720908,505400,760638,-1,274038,361464,212260,582808,-1,877198,186544,213101,516865,566151,657722,-1,-1,-1,-1,683446,-1,491820,880432,262794,-1,-1,-1,-1,-1,880852,-1,627363,784977,-1,-1,-1,442692,826663,-1,-1,-1,-1,-1,-1,684392,844798,-1,891494,274695,-1,-1,-1,-1,26975,-1,-1,215541,54188,852778,-1,-1,419213,-1,-1,-1,333210,-1,-1,-1,-1,323643,12921,-1,-1,-1,183968,-1,-1,-1,122391,-1,-1,991570,-1,93089,202715,625020,-1,252581,-1,-1,-1,712182,469996,-1,-1,-1,398373,320344,55947,-1,-1,-1,540620,41895,-1,-1,346147,-1,-1,773575,443243,531083,833707,-1,867639,-1,411268,-1,-1,-1,111695,256207,758599,-1,432913,-1,-1,298093,-1,-1,-1,166970,231226,-1,-1,898494,-1,673386,244942,125579,-1,-1,-1,-1,77680,-1,52697,76031,340144,-1,-1,832914,-1,694078,796737,-1,173948,-1,200553,697431,-1,329937,138134,-1,239355,978150,963941,830714,-1,-1,-1,-1,-1,-1,545574,-1,-1,-1,603691,-1,790848,-1,-1,105149,82362,-1,-1,-1,547498,-1,-1,55066,964499,246774,569699,-1,-1,-1,598631,-1,337557,511161,23194,19535,542667,-1,-1,-1,176191,-1,223423,614852,-1,877774,-1,739559,102283,-1,-1,694487,-1,356166,18798,-1,161393,-1,843274,344964,-1,686909,-1,-1,203249,578040,492567,39826,-1,543279,622781,156230,933491,987013,-1,-1,387580,-1,724162,-1,-1,313414,-1,125200,-1,-1,-1,-1,-1,479679,30610,-1,-1,-1,-1,113002,428270,777549,473790,889900,348592,-1,-1,993160,181946,-1,-1,-1,-1,-1,-1,482799,728020,-1,693835,408831,-1,196420,360291,-1,-1,-1,944587,-1,998481,778135,927601,759705,-1,-1,-1,-1,548125,197057,313384,621870,95674,870810,-1,-1,399610,-1,-1,-1,439535,-1,99218,-1,-1,646644,-1,795623,-1,-1,-1,-1,-1,-1,265487,-1,-1,-1,638799,-1,-1,-1,620314,76007,-1,312808,-1,-1,246227,-1,297898,555999,852587,-1,-1,-1,449853,921824,-1,-1,-1,339565,893084,823717,854891,-1,629702,392238,758928,12779,730434,-1,134429,776028,994104,176265,-1,-1,-1,503225,336904,-1,-1,-1,236512,-1,-1,205675,576231,-1,999791,402263,-1,-1,657497,-1,45800,941349,-1,253398,449251,164648,-1,-1,84776,-1,277213,-1,858758,-1,621118,-1,984608,-1,280104,-1,-1,-1,-1,621540,470306,569318,99290,-1,446789,861151,-1,39370,-1,-1,-1,562641,14032,-1,855163,663477,823125,-1,-1,763083,-1,58332,-1,792480,287225,-1,507026,-1,618871,-1,-1,471445,-1,963227,394817,322772,606419,-1,222981,277019,633978,707931,-1,590012,-1,-1,848124,676472,-1,723113,-1,552822,-1,-1,706946,-1,445184,499712,-1,-1,-1,890547,-1,450544,32777,-1,14572,-1,789823,-1,-1,-1,626149,-1,94112,261252,916434,498069,516431,-1,703252,609245,-1,971268,-1,-1,-1,-1,19892,387846,-1,479038,611616,888313,888666,430894,-1,-1,618962,909640,-1,116739,-1,-1,895611,181071,748515,886832,-1,155939,-1,-1,-1,734821,-1,-1,892793,-1,-1,-1,-1,-1,563740,978294,887869,774506,-1,222571,-1,307218,-1,779956,874920,328961,688122,-1,535957,-1,740938,-1,147356,935139,668521,-1,434369,-1,-1,114790,913070,319637,872283,564836,-1,-1,991572,-1,-1,-1,-1,326133,627822,596225,-1,721766,512397,-1,112058,-1,132689,5959,22310,-1,997787,-1,21004,-1,-1,-1,-1,-1,-1,-1,-1,655478,-1,273600,630317,866825,546177,211289,682062,610930,-1,811481,132157,-1,-1,369334,665146,771112,-1,-1,755639,940602,466665,16432,241894,716445,-1,-1,283046,258867,-1,34069,760078,-1,-1,-1,-1,506443,-1,-1,-1,257392,845001,835700,15901,-1,447145,-1,762673,-1,773392,730404,372879,280835,106052,322967,-1,-1,124826,-1,450572,959614,351958,-1,-1,-1,292540,-1,-1,-1,469041,80428,612155,-1,-1,28177,-1,294672,-1,839228,279231,320617,-1,400169,-1,436709,-1,-1,403255,732879,255843,-1,992988,-1,-1,-1,-1,-1,-1,586123,-1,771079,744121,-1,726713,-1,259606,-1,-1,-1,-1,740765,-1,526971,512089,358105,591478,-1,-1,945998,826607,-1,-1,496088,9026,474305,-1,573507,722397,75627,-1,-1,-1,-1,-1,-1,-1,299018,150615,401512,815101,-1,-1,195167,-1,-1,-1,-1,-1,871853,-1,-1,-1,-1,671651,786462,-1,32382,722447,-1,-1,257109,-1,-1,736518,-1,113447,-1,-1,-1,-1,290223,-1,892853,-1,-1,-1,-1,-1,28994,-1,-1,-1,-1,245009,-1,-1,-1,-1,793570,485247,-1,-1,889181,837125,720134,88690,-1,-1,54695,41394,-1,-1,631799,529776,-1,701896,859399,775814,799748,-1,568456,845963,-1,-1,334643,-1,906411,-1,712273,-1,-1,-1,975121,-1,-1,847110,-1,-1,-1,-1,85255,-1,313540,61013,-1,759165,-1,403734,635923,4232,204709,932288,-1,-1,215198,537470,-1,-1,411324,119993,475846,-1,-1,-1,-1,70788,-1,-1,537649,-1,-1,387636,839626,-1,-1,-1,-1,-1,770022,-1,747474,40115,661563,803852,949023,786043,-1,905410,867833,-1,350882,-1,201300,248562,-1,-1,86973,-1,-1,-1,206183,84820,-1,3551,573265,574184,106752,-1,472216,-1,-1,-1,-1,401319,-1,528957,359759,-1,-1,-1,-1,-1,768578,953742,122505,920563,-1,-1,444305,799892,-1,661373,301662,-1,-1,871405,-1,-1,449007,-1,322376,-1,-1,661457,-1,-1,732786,660301,290123,619653,-1,-1,-1,-1,990881,317864,798940,-1,-1,214496,-1,941681,792272,-1,-1,977941,776982,532826,-1,-1,-1,-1,690903,696809,-1,224267,-1,-1,-1,310817,718605,375609,-1,-1,582176,-1,872085,-1,94291,156222,-1,-1,-1,418856,208108,-1,16079,-1,-1,855244,262067,426187,-1,-1,23100,-1,961379,893383,661514,-1,-1,-1,-1,328650,-1,-1,737888,191883,-1,366745,-1,886263,-1,-1,-1,-1,-1,677696,623682,-1,574216,894898,693114,-1,310473,505617,-1,-1,-1,128087,-1,-1,62531,118609,-1,-1,697191,-1,-1,21083,802490,-1,132320,-1,-1,-1,-1,-1,-1,696105,-1,278899,343135,871690,-1,133382,-1,211524,-1,-1,-1,-1,29847,-1,-1,53550,-1,-1,-1,-1,-1,87226,833145,943815,191640,-1,-1,-1,29104,835669,-1,188189,-1,-1,-1,-1,-1,-1,-1,78086,-1,-1,251093,-1,850526,-1,-1,-1,-1,-1,563673,642521,-1,769083,911893,799905,-1,915650,-1,-1,799608,-1,564751,-1,768179,-1,-1,-1,-1,231387,-1,110734,413958,497503,299259,-1,324826,-1,-1,-1,-1,-1,748858,-1,738803,-1,793232,-1,-1,-1,-1,534902,-1,-1,-1,404854,252550,301289,-1,837456,583344,-1,-1,-1,-1,-1,298354,65159,-1,-1,114994,-1,631460,-1,-1,-1,223349,82006,697181,-1,-1,-1,-1,899412,849963,-1,891643,564997,281383,235503,834399,214623,411863,-1,62426,-1,531057,-1,-1,-1,-1,601654,652577,-1,-1,-1,106565,-1,-1,-1,402298,-1,-1,969031,78968,213550,325110,-1,-1,410043,-1,-1,67705,-1,668989,-1,998177,922275,-1,-1,11334,-1,176544,798547,138280,-1,109793,732808,554291,947650,-1,771099,265659,-1,94575,-1,350767,54273,-1,-1,932286,895985,574743,723247,472250,-1,-1,-1,-1,-1,535571,791096,-1,-1,-1,213366,-1,978791,340392,931013,-1,-1,886466,609032,-1,-1,685095,201663,78955,327543,910978,-1,827365,736092,30419,785723,-1,161146,-1,594598,-1,-1,-1,721321,-1,-1,-1,-1,-1,932430,787338,468145,-1,352357,-1,49639,-1,990864,831770,-1,-1,-1,987396,653436,539047,-1,-1,616473,-1,-1,-1,-1,487774,995542,133358,676220,292349,452939,-1,811550,349936,197189,-1,290781,631603,892691,806646,-1,-1,-1,7650,-1,130394,205725,655727,573721,-1,-1,592504,178156,-1,805935,-1,455155,88263,-1,586172,908024,-1,939373,-1,-1,-1,-1,255128,201193,622656,-1,46065,275635,-1,-1,-1,36520,-1,379375,468076,535971,-1,-1,-1,492670,-1,376883,-1,-1,-1,-1,-1,-1,689134,373010,-1,630773,70659,502010,860817,858364,769941,-1,540585,-1,651445,-1,-1,-1,-1,-1,984181,-1,-1,130923,-1,-1,462214,236516,-1,574352,992669,-1,-1,-1,185681,-1,691236,70305,-1,-1,-1,476046,-1,687151,301408,-1,-1,350823,926306,-1,848266,-1,211833,-1,953995,-1,-1,-1,727731,378013,451454,-1,-1,-1,195183,293299,-1,-1,777763,811686,661304,-1,961280,-1,-1,539693,-1,-1,-1,-1,938958,-1,282191,-1,-1,626584,-1,-1,552202,263957,-1,-1,-1,-1,-1,-1,-1,-1,98966,60414,-1,-1,443524,-1,-1,812838,654084,-1,-1,-1,499912,-1,732899,-1,-1,858267,522341,-1,608103,-1,-1,-1,-1,-1,563789,-1,325258,343899,425326,-1,164402,484980,-1,656176,-1,-1,563489,839032,-1,-1,-1,541652,-1,-1,173058,70101,71454,-1,-1,307025,-1,989144,-1,609907,835446,-1,339479,-1,903192,-1,286337,-1,494924,131455,-1,-1,-1,-1,861479,-1,194714,-1,190727,-1,902052,-1,-1,-1,-1,-1,-1,881506,-1,-1,40256,217052,-1,-1,-1,-1,-1,-1,426883,651815,763583,521196,39645,81857,-1,636615,319887,-1,409069,-1,-1,328101,734919,392980,600645,642866,-1,-1,332236,826032,-1,879030,-1,701960,-1,626557,598749,-1,296316,-1,-1,-1,-1,-1,-1,947932,-1,986503,665847,-1,-1,582701,644487,-1,356825,188070,533602,946841,42732,-1,-1,896344,503203,116488,562013,-1,556855,-1,-1,-1,-1,-1,506721,-1,477393,-1,20396,-1,410558,463288,-1,371833,427731,-1,-1,-1,-1,617946,489635,239879,-1,-1,-1,980340,256854,-1,629891,-1,956071,-1,-1,-1,-1,52760,-1,-1,-1,-1,365800,-1,-1,-1,169131,-1,-1,-1,-1,817065,-1,434737,333487,-1,905770,-1,90636,-1,-1,975734,870807,-1,-1,978078,432074,98935,10745,-1,-1,-1,389326,-1,179518,-1,-1,-1,-1,568191,390452,-1,191301,-1,-1,-1,-1,962499,-1,314906,-1,-1,-1,-1,158706,877582,-1,376246,-1,-1,-1,770838,345773,-1,936834,-1,-1,82786,-1,-1,316067,-1,113956,539257,519512,-1,832703,-1,-1,559265,-1,375860,860957,528709,438035,447118,-1,974545,840383,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,298495,191794,-1,129449,-1,323425,-1,-1,304430,834954,-1,-1,-1,470185,-1,-1,-1,-1,-1,-1,459709,-1,-1,-1,-1,147073,236862,551497,814678,291258,337292,-1,766865,-1,-1,574153,249381,-1,295671,-1,386136,-1,486720,-1,653274,-1,-1,-1,-1,793596,-1,-1,71753,-1,-1,-1,-1,749067,-1,-1,552085,-1,664565,-1,-1,-1,165601,516936,-1,356261,-1,739748,-1,-1,600504,826538,-1,452058,574516,-1,375907,-1,-1,-1,548477,60547,-1,889564,127161,-1,-1,354245,-1,670811,996947,-1,634148,-1,-1,768174,535440,896727,610420,320655,-1,-1,251699,387932,-1,185582,444256,685749,-1,-1,11728,-1,-1,869625,-1,584868,-1,-1,-1,-1,810810,-1,-1,994634,651175,408155,-1,-1,-1,-1,797159,995493,255009,874683,-1,-1,378703,-1,550004,-1,-1,-1,-1,-1,-1,-1,738642,165137,-1,218233,-1,28769,308981,120061,-1,-1,-1,-1,508215,-1,95395,-1,893575,-1,292992,-1,301596,-1,955627,140985,-1,-1,-1,-1,346330,-1,324065,-1,91635,-1,956572,-1,277356,450031,620792,-1,451884,-1,656414,-1,-1,-1,-1,712124,-1,-1,41872,114822,-1,480510,383960,136639,141277,-1,362791,-1,776336,591695,604799,962033,776062,572572,-1,-1,305534,606023,141716,-1,-1,-1,-1,-1,-1,881314,364562,407077,586515,773528,62946,498325,90270,498020,-1,-1,-1,699508,-1,-1,347984,881232,-1,-1,158587,191396,-1,34724,188073,828498,828238,959105,124001,-1,-1,-1,-1,397183,318595,388854,-1,-1,345819,-1,559981,-1,-1,-1,-1,185592,-1,671399,-1,528867,33674,12604,372445,721427,255873,-1,793801,133936,767386,389250,-1,-1,15595,206583,454887,78838,866315,708919,-1,254672,991232,-1,-1,546117,480283,871008,-1,-1,913441,795441,511361,-1,-1,367307,-1,-1,-1,-1,461873,-1,-1,962888,-1,127897,494460,749463,-1,922955,-1,111884,96415,915455,-1,856590,-1,-1,-1,-1,-1,920761,865431,-1,634371,557887,613365,992899,-1,-1,-1,883708,-1,-1,-1,-1,-1,-1,341356,404908,109439,954928,-1,660863,-1,635124,-1,918165,-1,722630,477402,722993,706722,-1,574127,305279,-1,42361,298008,-1,324587,675434,927526,273041,-1,366500,-1,13781,-1,790058,-1,-1,652178,798880,207218,512487,-1,-1,399327,-1,-1,-1,-1,107509,638528,-1,-1,862696,7426,578250,552538,153187,-1,-1,272325,503625,-1,466460,26016,383192,55382,577104,511765,-1,985842,702389,206184,469025,189034,420951,-1,701985,660110,-1,-1,562481,-1,-1,-1,-1,994484,101995,584723,540087,-1,-1,-1,57133,-1,-1,800866,-1,-1,-1,587767,-1,-1,-1,-1,-1,713103,-1,-1,105605,-1,-1,779903,-1,221785,413153,-1,-1,-1,482294,922788,822551,683120,-1,-1,-1,-1,-1,412452,487113,-1,-1,-1,-1,885834,918969,-1,514691,630592,419199,194212,578046,741314,-1,-1,-1,163453,547301,-1,145033,-1,878740,647430,346043,-1,-1,197134,776445,-1,402604,557360,787739,491140,-1,-1,378614,141903,-1,504968,76309,966675,296659,-1,263936,-1,318983,-1,697983,-1,327043,-1,-1,-1,127865,-1,470453,-1,-1,-1,170438,-1,-1,-1,-1,-1,-1,558604,921345,-1,-1,663323,-1,-1,-1,-1,754316,-1,-1,-1,534899,-1,-1,-1,-1,940877,-1,728409,890863,-1,486790,-1,873605,-1,319,810168,-1,-1,-1,357149,-1,772610,36636,250852,-1,-1,119589,61557,916153,-1,-1,894511,-1,130244,-1,367834,-1,-1,-1,535000,303439,-1,-1,179253,-1,895139,289121,-1,671715,-1,712961,-1,-1,287425,-1,795554,-1,951668,-1,128373,-1,-1,191473,-1,-1,880365,284032,-1,-1,370702,679043,-1,-1,797149,-1,-1,-1,-1,-1,505011,-1,15292,-1,967590,280700,-1,-1,-1,259392,-1,-1,-1,573518,454021,-1,98997,512303,997613,-1,-1,653037,600415,-1,-1,-1,773610,465261,517782,74404,-1,-1,-1,611233,521445,-1,355957,-1,-1,659674,-1,-1,-1,-1,-1,-1,24266,-1,-1,690397,637532,-1,-1,-1,43674,382388,779534,360941,-1,636138,681188,-1,-1,-1,-1,445719,-1,-1,103108,28541,-1,209874,-1,723607,-1,610395,29746,61655,-1,-1,922717,-1,231488,-1,-1,498579,-1,-1,-1,630130,45170,-1,860823,815052,-1,368876,-1,643999,971082,132593,272081,-1,-1,255867,-1,-1,-1,-1,407090,265172,986158,435044,674947,-1,589539,-1,-1,314055,-1,9671,411098,-1,-1,441805,448676,-1,329420,-1,-1,42620,692875,334156,-1,-1,579113,964951,-1,-1,-1,-1,-1,100977,781316,427877,-1,116820,-1,690517,281617,696267,-1,975657,-1,935780,672439,-1,678358,-1,696855,461848,946055,252450,-1,-1,-1,-1,-1,-1,-1,968843,-1,988331,-1,546223,-1,509050,-1,859110,81325,-1,-1,-1,442635,951167,720729,566753,-1,-1,-1,60467,641473,-1,-1,-1,495051,-1,787619,-1,-1,-1,-1,287794,-1,-1,-1,-1,487779,130890,912742,931960,-1,987631,-1,-1,238252,440872,-1,-1,-1,692668,-1,-1,-1,342462,975768,-1,692344,-1,541289,-1,929276,16032,-1,718462,-1,-1,-1,-1,-1,-1,-1,-1,-1,541,569385,-1,-1,-1,408176,-1,329672,490052,-1,722788,-1,-1,-1,-1,-1,675175,-1,-1,-1,389240,944211,883226,-1,773084,-1,-1,-1,888153,668744,-1,-1,899131,-1,502123,281454,-1,-1,-1,162856,918480,-1,739022,-1,-1,476332,-1,-1,655441,-1,-1,-1,232341,-1,-1,-1,27637,-1,-1,353157,-1,681818,173894,151309,-1,424551,-1,388105,744473,-1,542903,196702,-1,-1,-1,919990,-1,-1,-1,-1,456414,803131,-1,628919,-1,742566,515595,651571,104305,-1,-1,-1,58863,-1,-1,-1,247723,602458,91175,-1,-1,-1,-1,772006,229805,-1,693247,-1,-1,482108,67508,751303,-1,-1,762412,520937,-1,77706,176852,-1,294964,100813,-1,-1,-1,709077,-1,127867,852648,14155,963167,77040,-1,-1,-1,-1,-1,-1,-1,-1,-1,947828,807601,-1,-1,315950,-1,431755,-1,716373,-1,-1,324909,-1,-1,-1,-1,-1,821384,-1,-1,579569,985668,-1,-1,474046,-1,-1,-1,741760,895778,-1,-1,-1,903423,304879,404150,-1,837462,507073,-1,372685,-1,-1,-1,-1,-1,821188,-1,-1,-1,921895,-1,-1,960587,-1,-1,201617,779904,579245,34288,691541,-1,60365,951965,-1,-1,34410,233771,-1,747807,975293,637001,-1,-1,-1,-1,-1,-1,350539,987738,-1,-1,789620,511597,-1,698935,-1,901265,-1,-1,852637,-1,-1,318047,-1,-1,736882,-1,-1,-1,-1,-1,944263,-1,518206,800127,-1,917541,659985,-1,129977,995931,154554,-1,-1,52157,674691,-1,-1,368302,385506,-1,-1,-1,-1,-1,-1,866431,254387,787991,-1,518102,-1,-1,343743,830956,-1,-1,702608,-1,55389,-1,502340,-1,-1,738061,-1,706656,-1,372938,-1,-1,304413,-1,143851,700109,-1,-1,414048,795196,890239,-1,176574,-1,820875,-1,-1,-1,231622,-1,-1,-1,771446,945780,-1,406239,574707,-1,-1,-1,-1,212850,-1,-1,139526,584415,30217,-1,-1,-1,-1,-1,518368,-1,231998,5019,548103,-1,-1,-1,-1,552146,145536,623587,562227,-1,465505,467335,727814,-1,13255,7229,962787,826069,11836,973039,-1,-1,75727,-1,291116,84632,-1,-1,-1,195504,-1,433175,-1,922531,-1,-1,136992,-1,-1,-1,362047,-1,-1,-1,-1,546971,419835,878144,-1,212483,241298,5224,-1,-1,-1,748607,-1,-1,-1,-1,-1,-1,-1,-1,451726,354728,716937,-1,806118,259209,-1,778892,-1,267377,724465,-1,-1,886606,231409,-1,-1,236577,-1,578756,23708,446863,546028,-1,-1,-1,-1,464278,568657,-1,219516,219448,-1,827790,253537,-1,-1,-1,176443,842670,-1,762140,-1,-1,436084,941223,944931,649869,-1,-1,123771,176088,-1,-1,-1,-1,29222,277939,502926,-1,889146,-1,682714,169717,-1,-1,798102,-1,-1,924651,-1,251533,105297,-1,647627,900465,-1,39930,-1,-1,-1,-1,967238,358281,-1,-1,-1,-1,-1,-1,893720,696591,-1,192130,169527,-1,-1,161805,581321,677174,-1,558624,760763,-1,-1,-1,140371,797371,520747,199501,-1,-1,-1,914835,-1,-1,-1,-1,-1,952606,-1,333032,594540,-1,580645,-1,509902,-1,877563,-1,115356,-1,848626,-1,-1,-1,922305,-1,-1,-1,-1,-1,598737,-1,857544,-1,540749,-1,-1,-1,-1,-1,753946,-1,-1,-1,51468,-1,818994,918824,419519,-1,905392,614420,803400,-1,-1,-1,-1,284696,-1,-1,-1,-1,-1,-1,980746,-1,909246,-1,136952,-1,226965,824118,352955,-1,566340,684029,660032,528959,252278,-1,678359,106552,155578,116532,-1,-1,-1,523452,-1,173585,855573,978685,803833,870524,619406,334860,-1,-1,524181,660499,137271,787065,-1,-1,466281,885613,849714,-1,-1,-1,-1,-1,944859,155561,343168,496729,-1,816716,-1,982445,-1,866940,-1,-1,64238,779038,-1,-1,-1,549361,28579,473990,36815,-1,-1,94263,242795,-1,-1,431689,-1,-1,-1,27249,-1,-1,990511,54978,-1,495869,820455,759818,-1,528988,36791,221978,-1,-1,-1,752846,288876,-1,-1,-1,587419,701527,964516,277094,-1,323125,-1,-1,-1,-1,-1,-1,707842,-1,-1,-1,-1,-1,532628,997507,-1,987847,-1,610911,885637,-1,-1,839114,184511,-1,90285,-1,-1,-1,421495,977037,418172,463468,863175,-1,-1,118685,-1,-1,357200,155148,701774,-1,469136,690212,-1,-1,792045,-1,-1,-1,-1,-1,636646,29596,-1,-1,-1,-1,-1,-1,392747,-1,-1,-1,-1,49628,379380,642632,-1,732691,18669,70987,-1,319831,457798,435854,-1,-1,635351,-1,309610,-1,775666,-1,-1,-1,-1,753505,618624,-1,-1,395403,106866,277905,157348,280424,950231,844734,-1,-1,-1,-1,76357,261739,404462,-1,-1,721405,-1,675985,81086,383379,953715,-1,631627,674121,-1,735657,-1,632417,987640,769133,298634,482259,-1,-1,-1,-1,537940,558262,-1,-1,939299,855116,323353,-1,405455,5368,-1,-1,-1,-1,-1,491023,-1,972191,-1,-1,733118,-1,97904,-1,-1,599747,-1,-1,-1,-1,840424,866354,355675,501453,-1,858995,245399,407131,582109,551196,-1,-1,-1,-1,665023,-1,-1,-1,996924,-1,522784,-1,-1,319859,-1,-1,-1,-1,549402,623725,544652,-1,373406,-1,380979,689612,-1,39846,649443,-1,830296,-1,547324,756764,-1,-1,-1,-1,82579,820296,-1,-1,-1,107477,-1,-1,985825,-1,663631,-1,-1,-1,100823,-1,111605,-1,943569,-1,-1,-1,575608,-1,-1,532802,713258,809975,366295,803173,-1,-1,763889,892719,-1,-1,143374,-1,-1,-1,96979,426512,-1,930809,-1,-1,485,979955,749196,-1,-1,806005,481781,-1,-1,375371,-1,-1,-1,-1,-1,147920,642009,-1,-1,679966,763656,-1,421031,-1,153144,644026,76844,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,567279,-1,228470,86418,905946,45093,-1,-1,744784,-1,-1,238069,298480,-1,-1,-1,-1,-1,275954,406816,99894,690953,-1,148148,-1,-1,729802,970521,-1,-1,-1,366462,-1,972040,586416,-1,-1,-1,770429,-1,-1,136790,918430,983782,-1,102275,-1,136267,-1,191624,-1,900525,231128,-1,-1,852416,-1,-1,892998,598312,750971,-1,-1,-1,132581,-1,289026,816033,-1,682780,-1,-1,-1,992230,-1,8654,-1,663562,-1,-1,824603,-1,-1,-1,713573,-1,114807,-1,217881,166371,-1,-1,-1,763870,470657,-1,439851,-1,-1,-1,-1,-1,-1,-1,577972,-1,303799,607375,214408,-1,229994,542680,-1,959315,292545,789963,-1,539492,-1,530560,-1,669822,334836,-1,-1,545094,-1,489835,-1,-1,678503,5611,643008,616779,-1,-1,16219,-1,983614,-1,331266,520587,303041,728302,413022,886779,-1,-1,18294,862416,-1,477122,-1,-1,865562,836674,-1,-1,975609,-1,-1,-1,-1,-1,-1,-1,501439,188043,94601,-1,-1,483872,348738,-1,-1,255855,123915,-1,498773,-1,190834,-1,-1,-1,582898,-1,-1,440568,951196,168000,-1,807612,-1,-1,-1,332342,-1,-1,-1,-1,418049,777295,-1,423645,803248,-1,-1,294104,623347,908561,-1,6036,16629,-1,-1,-1,107789,10954,-1,990404,483424,-1,500662,230156,30553,-1,477836,-1,501518,563896,245622,-1,-1,360830,27228,885292,41530,455188,-1,-1,-1,-1,122202,508529,573278,125392,-1,-1,-1,-1,-1,886144,-1,275964,-1,755866,32633,-1,-1,72824,262970,365880,812224,572212,-1,-1,262308,789619,-1,-1,-1,-1,657994,910112,-1,-1,-1,690192,608482,444821,-1,816513,770815,-1,-1,-1,133198,-1,-1,233262,-1,-1,-1,894818,-1,999656,-1,13304,957365,-1,-1,-1,-1,-1,-1,179992,-1,970162,293059,780237,-1,-1,471469,682004,-1,-1,-1,-1,336095,-1,-1,150077,-1,-1,564406,730489,296999,-1,351929,-1,147228,-1,-1,-1,758399,657919,-1,91564,-1,-1,-1,-1,871064,54234,585634,817495,-1,-1,610541,-1,379037,-1,-1,-1,708432,89145,317370,21644,418217,778814,595113,970762,826113,13993,127245,-1,-1,808583,-1,-1,726368,896817,-1,-1,-1,705170,-1,718248,508096,-1,-1,273812,-1,279933,-1,-1,-1,979125,-1,-1,-1,-1,-1,782749,-1,876609,271870,134780,-1,-1,102186,940182,178591,-1,-1,-1,-1,354409,-1,-1,-1,121186,-1,288882,576620,442622,882440,-1,703812,-1,-1,458075,146680,101482,-1,-1,149810,352942,-1,-1,-1,-1,46677,290269,38228,347563,-1,880312,1643,861969,47469,-1,854640,-1,335681,999111,-1,20321,495075,-1,410843,-1,894891,-1,-1,-1,-1,-1,208748,955158,-1,-1,80276,-1,27649,-1,16470,572859,-1,490968,832634,-1,-1,-1,375893,-1,822117,-1,787177,-1,66072,545313,-1,162219,-1,-1,-1,-1,824826,845780,-1,-1,269110,-1,330813,31269,-1,213917,-1,762258,-1,-1,997822,-1,-1,-1,-1,44128,-1,-1,-1,-1,551921,952939,632502,-1,654437,-1,-1,-1,713297,218925,473521,631642,-1,-1,-1,-1,678194,-1,-1,602662,490647,378871,62928,431018,778213,411036,-1,-1,157268,181030,-1,129289,-1,568417,952742,308450,526323,-1,-1,162226,-1,49892,730500,412636,138834,-1,-1,-1,41873,-1,470955,764510,-1,130125,-1,822674,25701,210732,-1,-1,577000,-1,59663,-1,-1,-1,-1,-1,-1,65628,117005,-1,-1,294651,-1,-1,798491,-1,-1,-1,662999,451156,167373,332820,-1,975742,466016,80368,-1,423562,712594,61892,-1,-1,914124,-1,596749,732380,-1,-1,-1,494429,242217,-1,-1,438567,778336,-1,672047,952927,170174,-1,583246,-1,-1,562917,-1,639480,-1,-1,-1,-1,702791,191308,-1,78426,-1,-1,-1,947199,941919,570564,628918,-1,-1,-1,-1,-1,167065,44948,-1,-1,377963,-1,-1,-1,-1,-1,749919,-1,110959,914866,-1,-1,-1,204026,720762,341414,-1,653406,755878,-1,683423,-1,947105,-1,804961,-1,-1,-1,-1,-1,-1,-1,313223,-1,101363,963536,485682,-1,930510,746414,-1,-1,751984,-1,-1,-1,436029,-1,74107,-1,-1,-1,938879,-1,-1,-1,133843,860743,328727,-1,321540,-1,115456,389787,616824,-1,-1,533984,-1,-1,672655,485088,759618,955022,-1,-1,-1,-1,-1,-1,231154,418333,364947,-1,-1,-1,-1,167606,-1,164240,-1,555417,-1,841627,-1,-1,18022,-1,256342,-1,-1,104207,579446,-1,197531,663837,-1,-1,-1,325181,960369,-1,-1,739430,-1,-1,499221,-1,-1,791504,334043,845064,-1,-1,-1,747697,731796,-1,335719,624251,960407,602562,185140,-1,-1,983356,-1,484641,-1,370707,605181,687771,-1,165701,-1,522735,264223,848051,618481,-1,981688,-1,207818,-1,-1,-1,-1,107762,173443,-1,269981,-1,907218,311142,794626,868921,582294,241968,574537,-1,16939,535126,363671,973025,563984,-1,-1,-1,-1,-1,454534,516991,131334,982284,-1,-1,450803,192034,976718,-1,-1,-1,237971,402407,-1,253331,-1,439320,-1,670267,591496,740806,559968,180775,-1,712366,-1,648156,-1,-1,-1,314761,-1,293047,57713,802048,408045,223780,-1,378736,-1,-1,-1,128002,979123,-1,-1,-1,-1,247140,-1,-1,-1,227552,531253,283765,-1,136951,-1,-1,445261,474285,107366,-1,628833,-1,264962,-1,601530,-1,642413,-1,824984,-1,67154,-1,-1,-1,215896,995841,-1,348954,-1,-1,-1,128441,-1,-1,909285,407008,-1,-1,-1,-1,-1,373830,133335,461672,5897,719007,-1,978433,-1,-1,328440,292222,176592,710567,836369,853212,574682,433458,299348,743136,292181,-1,78248,149458,294208,48016,-1,-1,223100,368053,-1,406932,527715,-1,251876,-1,849758,864143,-1,611181,350723,258207,-1,229492,633088,478176,846680,279334,-1,-1,264147,-1,-1,-1,220125,824712,-1,554590,135463,729889,717538,-1,731254,-1,588911,560147,-1,-1,349587,775974,51732,218002,893213,519409,-1,-1,595579,-1,-1,-1,471483,885735,204237,699884,8494,916897,-1,-1,-1,-1,627092,588489,506435,467685,320551,-1,269446,-1,-1,253518,-1,760098,761499,-1,-1,611383,818320,-1,702203,392146,346066,304884,-1,-1,658017,667184,-1,825356,786777,372308,614209,-1,363506,627021,231747,-1,-1,971034,245898,-1,-1,792705,-1,560315,789554,774466,-1,-1,786807,171295,182972,-1,-1,956789,-1,794120,-1,493426,-1,-1,829648,-1,749284,-1,-1,177442,-1,864115,182772,-1,137666,-1,-1,-1,598078,-1,976511,-1,80334,-1,658889,489992,924082,634806,-1,-1,807546,-1,-1,438592,-1,750442,-1,191014,-1,641552,-1,-1,-1,-1,660978,460088,-1,981525,-1,-1,-1,770197,-1,275164,854528,-1,765077,316107,-1,278887,-1,-1,-1,-1,-1,568773,-1,532829,861935,-1,-1,512559,-1,526419,-1,-1,700996,-1,-1,877022,654471,910930,586931,77810,758386,-1,-1,-1,473697,777164,-1,-1,-1,37332,61030,-1,613843,365389,937122,783147,780713,-1,298843,936783,51249,685410,-1,966650,-1,860086,-1,-1,-1,-1,-1,-1,537201,587867,862595,90789,170922,-1,-1,-1,365792,-1,477785,362065,472104,142559,363821,-1,983646,899734,-1,899974,-1,45906,-1,189855,946528,107118,355123,-1,-1,794093,237795,-1,-1,-1,946706,-1,-1,-1,-1,-1,-1,-1,314539,635824,532227,-1,-1,753606,842236,-1,877862,399473,-1,981034,-1,254323,764094,361072,393244,157905,-1,923060,-1,497053,507672,738951,117975,-1,392775,-1,828574,-1,233143,-1,755134,273527,765446,-1,-1,73499,-1,232729,185818,664824,-1,880628,769482,-1,356803,606807,353830,71498,-1,739772,-1,-1,-1,455249,-1,692811,136858,770727,-1,309935,-1,-1,146107,-1,-1,-1,-1,-1,-1,326269,821542,303232,722619,464007,626424,-1,-1,601955,-1,454243,-1,124251,199970,339718,717138,-1,-1,985607,-1,-1,207558,10926,899965,-1,559947,-1,875574,273829,-1,121410,213,521579,-1,302834,19420,62157,-1,-1,354903,-1,-1,-1,-1,-1,-1,-1,95455,346000,201997,-1,-1,-1,-1,28355,183047,273693,-1,-1,5420,-1,-1,-1,726381,-1,330344,-1,-1,63146,-1,906980,930676,-1,322946,-1,847575,-1,188783,-1,436316,-1,645417,-1,868484,409512,841101,-1,827683,-1,-1,743206,-1,793929,504494,-1,290373,-1,633845,-1,350302,-1,-1,-1,-1,118924,-1,57317,-1,396719,-1,-1,-1,-1,755452,-1,-1,-1,-1,-1,194946,609163,259685,-1,566914,-1,-1,-1,-1,241066,-1,631359,68754,-1,196582,-1,-1,-1,744034,246780,393602,-1,-1,-1,-1,72809,696366,-1,793176,734942,-1,53914,643487,674051,859947,-1,-1,361185,656856,874651,-1,-1,-1,121026,-1,-1,197698,-1,803687,188543,162893,741255,968681,816618,-1,298424,398560,-1,-1,898771,72901,-1,-1,973830,551604,918524,-1,-1,-1,344606,-1,-1,215089,-1,288680,-1,249954,-1,-1,572356,890228,-1,-1,-1,-1,380101,-1,-1,201286,461512,576746,-1,-1,948623,-1,68453,-1,-1,-1,375169,198507,-1,838609,216996,161004,-1,861570,-1,414522,247273,-1,-1,-1,348286,-1,-1,-1,-1,-1,-1,711199,-1,501123,662155,-1,481307,-1,560096,-1,604001,974845,-1,744874,-1,29159,-1,-1,51296,282118,964768,505961,246037,384966,-1,-1,-1,639028,-1,-1,577973,886036,-1,421316,145409,-1,680125,225696,-1,604229,22547,-1,-1,333845,-1,-1,503641,-1,-1,671805,935085,71749,130509,613892,-1,764878,-1,-1,588100,-1,-1,305188,362374,-1,-1,52531,829257,617836,525541,-1,-1,-1,-1,-1,-1,-1,473283,641496,582300,322123,251553,-1,-1,-1,-1,544702,308007,193191,323778,-1,-1,596319,-1,652213,584156,-1,497433,560415,-1,62134,-1,-1,91620,649219,-1,699443,-1,-1,-1,729836,-1,-1,447721,717749,-1,-1,-1,311885,405118,-1,593699,-1,-1,810431,466717,-1,792260,-1,-1,-1,-1,17508,-1,470542,-1,-1,-1,-1,413407,816109,851669,-1,51690,-1,-1,-1,-1,128651,132310,796249,235828,-1,-1,640569,-1,-1,110121,465478,-1,302173,-1,467825,-1,887985,416412,232536,-1,757435,-1,335853,786403,415413,266125,-1,-1,574317,-1,337875,352664,663455,-1,449617,-1,-1,983369,-1,886209,-1,923938,50915,212554,-1,-1,-1,884139,218525,576107,925530,107125,-1,829235,943519,866040,808987,387532,905711,834943,-1,687271,255475,-1,203870,-1,-1,817545,981782,591637,580517,771103,-1,-1,-1,-1,-1,-1,-1,8267,-1,-1,399800,651113,-1,-1,534924,-1,986460,-1,656223,462092,-1,-1,-1,285401,799249,320542,557489,505266,269041,-1,81842,-1,270395,878128,-1,483666,446813,-1,-1,-1,-1,-1,815632,46144,-1,168586,-1,-1,-1,445998,-1,-1,-1,-1,698136,-1,533222,732422,256632,-1,-1,792662,-1,-1,726925,-1,414232,235424,-1,550248,930323,266377,785469,-1,-1,-1,526624,-1,-1,-1,-1,-1,556916,901484,134347,189455,-1,-1,-1,484130,-1,289753,235282,-1,667588,-1,315644,-1,380501,508075,-1,-1,-1,-1,-1,279477,-1,879010,-1,-1,-1,-1,602344,-1,16241,817800,583264,706855,602639,-1,-1,230803,-1,-1,-1,-1,-1,9698,647311,640564,543354,380967,-1,580205,347411,406067,785670,819429,-1,-1,-1,-1,646693,-1,504479,-1,440315,31387,-1,-1,372590,157607,-1,664228,-1,-1,673878,239983,46,128648,349391,958954,969226,202240,593399,270752,-1,-1,-1,748869,33022,-1,553389,-1,-1,-1,-1,694639,-1,-1,566882,-1,186268,-1,-1,-1,-1,-1,-1,734638,-1,-1,343837,-1,-1,640248,-1,802476,728894,444636,806889,-1,-1,744071,-1,99342,51615,313673,-1,419448,-1,-1,665841,635549,-1,-1,398967,-1,-1,-1,-1,-1,915157,-1,-1,-1,-1,827279,-1,-1,-1,-1,-1,424179,481701,964054,374,147049,-1,-1,-1,98473,540444,-1,170835,410638,-1,595483,-1,164576,-1,521524,933331,939407,-1,341089,-1,-1,-1,497104,-1,-1,-1,971292,-1,301333,-1,159940,22995,-1,-1,-1,53382,253453,498463,-1,-1,443114,-1,578586,124031,-1,-1,-1,942853,-1,-1,770390,589977,273407,-1,-1,-1,-1,825229,-1,944431,-1,571348,-1,-1,-1,-1,-1,346455,222079,-1,-1,725427,208465,-1,-1,-1,-1,-1,364832,949200,-1,-1,686913,-1,-1,-1,292555,-1,774897,819031,161475,-1,-1,-1,796275,118208,-1,605802,529839,-1,-1,-1,934897,-1,669821,-1,-1,-1,-1,-1,-1,-1,186164,408503,-1,478106,97877,42603,27240,-1,794357,743852,703079,81123,-1,92469,683993,621855,33238,-1,343827,-1,705854,812469,-1,417013,185468,-1,-1,383742,-1,-1,-1,61689,101082,-1,110001,-1,-1,-1,140469,987288,-1,425073,576790,-1,645088,636140,-1,-1,-1,788804,471813,-1,-1,-1,850891,894510,-1,770387,-1,762558,-1,151210,-1,-1,-1,186661,169032,731090,-1,-1,-1,51747,-1,378534,181075,520468,422818,798316,447217,607421,209486,242493,296891,-1,-1,-1,426685,70970,-1,-1,-1,749050,-1,-1,744980,6886,-1,-1,-1,692893,-1,198972,908658,375117,-1,49426,-1,-1,-1,846811,166671,447277,-1,475613,-1,862725,-1,108571,802140,-1,-1,-1,249681,383163,-1,-1,740866,-1,-1,782963,537371,880294,584747,943668,657123,97824,-1,990939,804805,606430,265113,-1,-1,418783,981662,-1,814769,-1,169458,796796,288726,861925,-1,428362,-1,76162,-1,-1,-1,-1,839784,-1,275971,-1,91949,695849,-1,421486,275853,-1,142822,-1,-1,722202,356775,911558,-1,797856,-1,314890,-1,937985,-1,447779,503129,-1,683573,-1,-1,402683,-1,319744,-1,672728,-1,-1,976388,-1,-1,292609,559555,-1,-1,592743,266464,455472,530194,901027,-1,251714,24012,-1,-1,-1,115361,775412,-1,-1,-1,458203,454703,491877,286131,-1,-1,224146,969103,-1,-1,-1,-1,-1,689911,943047,612554,376101,4627,-1,156495,-1,-1,-1,96981,938991,591157,-1,-1,35461,645111,942574,518930,-1,181798,497591,658506,191526,568939,-1,488978,99612,584083,616891,-1,674184,-1,-1,-1,-1,-1,715721,-1,949214,-1,-1,-1,-1,542179,-1,-1,-1,-1,139489,-1,580196,970345,734223,-1,-1,40343,-1,-1,118996,197283,687518,787767,223986,-1,152101,323206,-1,408062,-1,-1,514364,-1,-1,979430,935979,887996,772508,376343,-1,-1,-1,141991,-1,-1,-1,423923,-1,-1,-1,-1,175028,-1,-1,-1,81501,208398,-1,-1,-1,-1,926941,-1,-1,389279,195976,778045,-1,-1,870917,943993,82999,-1,-1,-1,722233,-1,-1,319542,95076,441004,638318,259804,380642,929815,-1,-1,-1,-1,-1,-1,-1,650173,-1,-1,-1,457500,-1,-1,189172,-1,825392,-1,615502,526667,747341,-1,233463,-1,408040,-1,-1,-1,84938,625558,448916,-1,708981,-1,-1,-1,298066,764388,654528,954801,692062,622488,751326,-1,-1,-1,-1,229527,978400,348512,-1,-1,-1,-1,-1,456013,-1,194444,-1,53882,877110,964588,92276,161579,718876,462709,484767,-1,682740,410791,245206,25193,409446,378649,297196,-1,31893,144246,-1,-1,422370,517329,688521,-1,393143,-1,-1,-1,497663,-1,620846,-1,198744,-1,-1,857368,-1,810624,-1,691965,622583,-1,-1,921766,-1,-1,-1,418280,-1,884565,-1,-1,-1,-1,-1,287849,372143,682486,871181,-1,-1,937085,-1,199811,-1,-1,99814,989701,-1,579797,-1,-1,46529,412180,996548,127364,953305,-1,-1,-1,-1,-1,-1,309400,19050,-1,591719,338667,888156,-1,6189,-1,835070,-1,526534,653813,204333,-1,-1,-1,-1,-1,113878,220620,-1,934864,-1,672466,715381,-1,188964,812588,-1,-1,535689,-1,-1,397530,434195,718810,474907,705697,832388,988793,-1,595797,929754,271756,867030,325672,-1,-1,-1,992030,481820,-1,125572,90625,-1,472704,-1,689403,-1,-1,430990,-1,195202,-1,213654,449674,-1,4613,900237,-1,-1,962233,-1,945734,560086,-1,932658,608765,959678,675241,750826,812424,-1,-1,620235,-1,-1,-1,306766,91328,-1,375244,830839,-1,450999,900386,-1,-1,-1,230843,341258,-1,534456,659035,336887,351768,653167,219941,232283,-1,-1,-1,630493,818038,207246,464491,388138,132031,-1,365126,70290,655119,411755,-1,-1,-1,-1,-1,-1,774297,-1,-1,905123,727090,-1,256488,386590,465901,-1,-1,-1,867044,-1,337206,764646,786837,-1,-1,-1,536767,-1,-1,-1,803194,944415,-1,-1,-1,619206,60432,-1,311035,-1,-1,488008,-1,-1,170864,-1,-1,-1,240895,-1,-1,21372,-1,73510,708252,-1,877587,611241,-1,-1,-1,-1,645250,972113,642340,-1,-1,498002,995611,-1,-1,-1,546155,-1,981166,-1,109157,614508,-1,207205,-1,611785,-1,66572,-1,-1,556442,669995,-1,-1,-1,-1,-1,-1,146562,-1,911554,-1,-1,-1,-1,720947,849534,-1,-1,782812,246980,-1,112480,288961,891376,-1,-1,617236,-1,704638,-1,-1,-1,271127,252819,382173,-1,-1,-1,275036,560098,269388,367589,-1,-1,650102,-1,245108,340721,-1,-1,-1,753863,169343,-1,489963,-1,-1,-1,664528,684707,273431,208597,-1,525303,-1,3726,290701,-1,-1,171605,-1,589623,78821,-1,106462,248204,-1,-1,635049,-1,728215,735385,-1,808414,-1,672189,240598,-1,-1,-1,-1,881799,-1,520057,535161,-1,-1,740178,119725,-1,-1,960697,-1,519044,-1,-1,554870,-1,-1,871519,-1,-1,39673,-1,-1,-1,558526,515624,-1,-1,-1,-1,972516,-1,76224,64701,-1,898968,290797,-1,599750,321237,58904,661853,-1,-1,168129,-1,-1,150265,-1,316377,-1,-1,-1,-1,642560,869784,972654,-1,-1,797554,783094,-1,869411,427650,-1,-1,-1,429723,617475,-1,228264,846941,-1,360883,786513,967881,-1,-1,446028,-1,-1,907371,-1,-1,99440,-1,-1,-1,584983,192410,539688,807270,36191,-1,-1,-1,468687,955756,51729,259369,98530,-1,836989,288946,-1,-1,459904,732860,-1,-1,-1,-1,-1,566865,-1,-1,6927,-1,308868,286703,-1,-1,-1,-1,-1,737092,-1,-1,663890,214589,546595,617680,-1,228313,835765,-1,783561,343163,296092,-1,-1,456531,-1,-1,213983,-1,252096,19813,698595,464932,-1,-1,-1,-1,66561,-1,811705,198152,661538,4753,-1,-1,391461,-1,-1,923958,668306,-1,-1,-1,-1,-1,-1,579145,763546,150961,748525,515410,-1,721485,-1,338556,-1,-1,864509,579478,246308,432009,-1,-1,-1,-1,662622,-1,319880,948601,97922,907687,748001,448806,-1,922422,459607,8372,481232,306376,-1,-1,-1,-1,161301,901525,-1,-1,-1,248431,-1,-1,24113,840423,-1,-1,1973,833548,176266,340858,677855,274788,110748,-1,127144,177202,-1,632780,545710,-1,-1,-1,74584,374768,369219,890815,289937,-1,517818,799881,44843,-1,398038,-1,243070,-1,-1,420082,-1,653995,810569,130915,760927,955011,621655,-1,-1,142983,338138,-1,-1,741739,-1,-1,-1,-1,653767,-1,842695,692937,-1,-1,-1,-1,-1,266697,-1,-1,-1,-1,112104,-1,103610,572946,492341,200915,502850,258635,502240,-1,677644,796738,-1,69116,-1,-1,-1,-1,-1,-1,-1,33668,398237,-1,379197,533901,754771,675792,-1,-1,999401,377725,-1,-1,-1,-1,-1,124820,-1,-1,-1,845818,-1,-1,-1,597829,75200,49606,-1,945753,-1,227181,21912,158716,-1,-1,808464,871559,-1,593128,-1,200364,-1,-1,-1,-1,-1,721780,182453,-1,-1,-1,-1,-1,916728,-1,-1,-1,440169,-1,-1,970124,921007,504563,715862,-1,180970,472568,775258,84481,-1,177212,207829,-1,-1,761836,156770,-1,-1,884993,716695,-1,80355,-1,-1,572527,-1,480033,622530,688380,2409,716230,10823,664551,636110,522607,-1,-1,-1,-1,743247,567808,772413,313955,-1,91425,185529,194631,824684,-1,404753,794909,725162,-1,344763,390137,-1,532308,-1,-1,-1,29585,-1,560350,6319,-1,-1,959014,-1,426943,-1,796986,-1,630165,-1,655292,980343,-1,-1,-1,-1,328096,638866,71078,-1,635196,212405,158145,-1,-1,433711,222,569496,832080,-1,53523,-1,807079,45007,-1,-1,301818,434971,-1,-1,-1,319398,890828,731858,-1,-1,989970,-1,-1,-1,887324,968403,-1,771345,670190,401607,-1,201443,-1,461956,-1,660883,478982,-1,-1,-1,-1,-1,-1,21120,-1,-1,994426,854342,759050,-1,530790,-1,318348,-1,491432,344509,883547,941719,-1,641069,993643,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,879590,-1,-1,-1,-1,-1,380691,741329,-1,697618,581033,788117,-1,-1,-1,91010,-1,454739,195378,158745,-1,-1,-1,-1,-1,-1,519115,-1,240876,-1,77625,737352,90093,-1,-1,-1,585247,860737,-1,-1,344546,-1,-1,941999,-1,-1,-1,195054,-1,752160,487676,-1,531856,84847,891800,311101,-1,539043,-1,552521,80882,-1,686731,29506,931502,-1,136554,977417,-1,761892,-1,-1,916439,-1,5971,-1,-1,728943,735063,-1,-1,115942,984365,999648,512170,865110,-1,-1,11390,598466,-1,860071,274197,396155,-1,-1,786549,274046,705271,335321,849324,153139,-1,-1,327314,-1,449342,-1,-1,-1,-1,168483,-1,-1,-1,-1,288089,990225,444823,406438,439649,-1,-1,78741,-1,452072,-1,-1,-1,-1,581542,119047,778744,-1,967221,-1,-1,464905,-1,-1,-1,-1,61133,-1,265066,160402,-1,137373,983511,-1,-1,728417,986157,-1,871912,767286,835268,-1,-1,-1,-1,699464,645778,960494,-1,-1,-1,267817,655443,49747,373649,-1,-1,101047,-1,521828,361349,802337,758459,455449,-1,-1,-1,-1,-1,-1,-1,669959,-1,587546,-1,-1,-1,271314,729940,373348,-1,727635,-1,-1,-1,568010,-1,-1,955082,745782,-1,-1,-1,546577,21356,-1,-1,-1,49335,271632,-1,-1,-1,-1,-1,114058,-1,-1,98809,919358,858616,424648,-1,-1,-1,-1,713665,168620,-1,-1,537658,-1,-1,-1,617058,-1,627159,75085,-1,-1,-1,-1,-1,-1,769007,-1,-1,-1,965633,505975,-1,-1,458349,-1,-1,34223,376468,819925,-1,969606,788531,-1,60766,309356,509408,-1,756918,94377,-1,158988,783020,-1,404341,-1,-1,-1,-1,-1,600304,350374,-1,939561,264244,84858,-1,465797,-1,-1,162678,-1,779877,157642,193679,267080,364953,462301,-1,-1,-1,-1,-1,824706,-1,-1,-1,4163,-1,-1,362002,261798,215238,-1,-1,-1,906331,-1,-1,265884,-1,-1,257036,-1,-1,-1,288107,-1,-1,-1,-1,-1,508805,-1,12746,770137,407372,413009,736019,-1,-1,908479,635808,-1,-1,-1,-1,-1,115004,-1,943022,321104,679962,-1,-1,-1,182266,719349,-1,486950,38058,207301,-1,428467,224231,968453,-1,745699,660018,-1,750854,964255,-1,65650,-1,433827,-1,-1,-1,-1,-1,57206,466223,419069,-1,-1,428206,-1,-1,83573,807976,-1,276745,-1,990690,-1,-1,-1,-1,-1,969889,904313,472227,-1,647712,704300,687410,994458,-1,237424,-1,416829,-1,-1,-1,-1,890483,330990,168905,878592,-1,-1,652395,-1,455052,976301,687073,-1,157059,-1,-1,-1,684883,-1,-1,984253,-1,-1,619597,443546,-1,122819,-1,-1,678135,-1,-1,528331,-1,-1,-1,-1,-1,-1,-1,136621,98410,123021,-1,-1,309797,-1,-1,140195,513047,959818,443506,-1,-1,-1,443080,-1,709692,-1,523340,305315,-1,-1,-1,746263,147863,-1,642558,-1,80457,978419,-1,-1,-1,240316,-1,-1,850747,382054,-1,-1,-1,-1,-1,-1,331691,-1,-1,483341,811071,-1,-1,-1,-1,342997,-1,-1,-1,-1,-1,244704,-1,739182,-1,-1,-1,-1,-1,-1,989832,376803,-1,884328,-1,895293,-1,-1,-1,-1,-1,483262,700315,-1,732612,-1,256383,-1,-1,136960,180632,-1,-1,662815,949746,688820,635589,-1,-1,-1,-1,451534,789678,310324,783718,37665,-1,611364,-1,-1,378232,199371,361551,770122,539453,582546,-1,17408,642270,277082,-1,442500,-1,-1,280931,251441,119474,390715,-1,-1,-1,283042,567381,-1,-1,-1,-1,-1,-1,-1,483808,-1,676598,-1,924304,-1,453097,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,591578,435448,-1,-1,-1,85603,628444,325458,29009,792932,-1,-1,47761,894632,200094,495328,-1,-1,-1,-1,-1,276791,-1,-1,-1,-1,-1,345998,-1,-1,-1,80513,315343,762292,-1,775989,-1,968170,175567,97858,-1,239230,-1,-1,-1,-1,122447,344840,-1,-1,-1,-1,39411,995930,474182,-1,830849,-1,981743,186047,430166,733891,8725,228572,516213,-1,-1,-1,242777,-1,-1,577958,-1,280550,727818,215908,-1,249652,-1,969335,-1,62742,-1,452559,-1,-1,618084,832192,-1,333451,-1,-1,6874,716714,174213,894092,391089,-1,-1,-1,563678,92400,88862,-1,84231,-1,70108,37798,475357,-1,267500,800992,736142,703622,-1,83002,427155,987306,-1,729157,-1,138857,-1,93246,-1,517645,-1,-1,325701,-1,-1,303414,250769,-1,-1,325443,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,749246,-1,-1,551584,-1,399342,50674,-1,-1,-1,-1,-1,395465,-1,-1,-1,887113,-1,-1,-1,-1,429540,983248,17104,-1,757234,691573,-1,-1,-1,-1,379213,-1,-1,942769,-1,916507,275059,-1,494591,237418,13059,-1,-1,-1,151234,-1,762254,558118,43958,284860,-1,718903,-1,-1,479629,-1,-1,-1,-1,431393,780633,458634,-1,-1,452453,-1,-1,766561,-1,432205,-1,530360,-1,-1,320126,492420,-1,133319,43139,575951,359465,-1,-1,-1,-1,501699,-1,-1,395751,998670,-1,-1,15593,193831,-1,-1,-1,221494,263711,859057,-1,415949,448802,-1,-1,-1,-1,678430,807013,621310,274536,-1,909172,-1,752907,-1,447037,920505,435143,-1,738000,-1,618406,645833,-1,-1,-1,484053,-1,-1,461291,743982,74410,-1,952332,-1,247630,-1,-1,-1,253668,-1,-1,-1,-1,-1,293794,241466,992200,-1,-1,-1,360610,-1,155155,751276,-1,921574,-1,-1,318689,-1,-1,-1,551471,878151,629182,614024,-1,639626,803619,289207,525494,739282,613223,-1,190764,449765,-1,-1,819448,684718,991632,188551,804826,-1,-1,-1,684114,652903,508141,-1,91472,603251,306931,106841,-1,-1,181186,448446,-1,813908,367993,706777,966384,623152,690972,-1,-1,186288,607202,458711,900153,-1,-1,526814,431263,-1,-1,-1,869441,-1,-1,-1,-1,914765,-1,294354,-1,174672,121471,-1,-1,332547,-1,681872,853418,-1,330293,-1,31158,914626,830751,387901,-1,-1,-1,729248,-1,-1,882554,-1,435765,-1,937715,-1,-1,744899,785552,-1,386039,180541,-1,954030,424698,-1,487904,302370,-1,-1,-1,-1,-1,219154,999416,712460,-1,354986,499736,250279,-1,-1,567956,-1,772421,-1,-1,-1,-1,358772,926176,26915,457408,865389,838540,379971,-1,576676,-1,936081,54200,-1,613630,-1,-1,-1,585664,-1,-1,-1,-1,-1,4637,668234,107544,-1,-1,392134,-1,-1,754031,-1,-1,-1,892140,167773,-1,-1,-1,107440,-1,-1,486060,769332,425311,-1,600321,184905,446416,-1,-1,619437,-1,150122,-1,-1,-1,945480,-1,396718,236855,277102,715056,-1,-1,-1,-1,580179,74575,-1,541232,-1,-1,-1,628716,-1,-1,487732,-1,918500,34652,-1,-1,864673,-1,-1,870923,-1,-1,601169,-1,-1,-1,-1,481293,-1,-1,708333,-1,-1,341484,-1,438414,194217,-1,633997,950639,738609,463489,-1,-1,-1,-1,694452,632659,292965,399008,381842,336697,167174,-1,-1,-1,-1,-1,358939,237794,626860,-1,-1,915820,977466,529741,765376,225256,748654,-1,-1,189450,730836,933572,-1,-1,-1,-1,540164,-1,-1,-1,280525,399719,-1,-1,769829,852163,-1,724093,-1,-1,-1,-1,-1,750082,287144,-1,340700,-1,55333,-1,349288,-1,-1,-1,373997,-1,871291,-1,-1,772442,406410,-1,519866,870804,-1,-1,673209,501500,-1,-1,-1,-1,746896,-1,-1,984366,-1,-1,55227,621528,-1,456966,-1,-1,666847,4583,273081,-1,-1,-1,-1,-1,908292,990573,226984,252801,-1,-1,-1,-1,-1,-1,394857,895431,283854,-1,861706,924314,85960,462060,-1,-1,156677,-1,-1,513166,845149,408760,-1,964862,-1,-1,958290,-1,-1,298422,794110,-1,-1,-1,-1,199728,507537,-1,-1,78876,340737,-1,38302,-1,473779,-1,851436,290434,-1,-1,-1,-1,-1,838895,533881,-1,46937,-1,34888,-1,-1,691201,214004,939983,36470,-1,-1,641137,292899,262652,500429,-1,464271,-1,782901,-1,963174,744991,157549,788902,-1,-1,-1,-1,108077,929417,-1,214097,5589,-1,269777,48826,916100,-1,-1,939317,-1,791772,455528,-1,670733,289049,335301,799171,-1,191393,410352,-1,409082,-1,501955,-1,510441,-1,827451,-1,-1,809183,-1,-1,-1,-1,-1,-1,172264,-1,469189,-1,537339,673928,400814,723141,-1,-1,194114,-1,-1,592386,636323,-1,158452,722851,-1,-1,289000,123560,-1,494523,-1,-1,-1,-1,525556,739400,-1,920504,933000,497829,63370,896483,884064,61768,-1,916884,-1,51692,346978,228358,703215,112109,806801,-1,-1,-1,-1,-1,-1,-1,671754,732736,595268,-1,355730,456136,555747,657154,-1,-1,-1,372492,-1,586883,921597,-1,207929,-1,354692,-1,-1,-1,-1,6341,351247,840637,-1,-1,-1,215104,-1,-1,-1,-1,900123,127768,831567,-1,-1,-1,14056,905643,-1,-1,497293,70270,112913,189939,-1,575171,380033,563531,375803,-1,-1,-1,-1,102588,267413,729203,347187,-1,-1,933275,693257,894816,704551,-1,20456,210906,541932,404386,187021,262143,861554,355309,-1,-1,-1,973800,302354,742941,-1,851634,-1,588312,-1,-1,-1,-1,-1,-1,893509,-1,-1,281329,629827,883550,519076,-1,-1,271891,-1,-1,417552,202080,855010,825981,909344,-1,399876,518528,-1,-1,251788,-1,465747,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,807803,819668,-1,471438,828370,-1,367641,-1,-1,-1,-1,734187,545723,-1,-1,336950,-1,-1,-1,-1,914833,998121,-1,-1,702846,68937,-1,-1,124281,167653,-1,573741,667844,23676,624129,-1,-1,172291,-1,264648,-1,-1,-1,317900,53877,873879,303064,-1,345432,-1,73725,779773,196710,58514,-1,-1,-1,-1,948367,-1,733225,283435,453200,-1,-1,711270,-1,-1,-1,231845,682926,57369,17409,139503,750871,17548,816078,-1,309052,846347,-1,508671,133162,526451,859151,-1,-1,-1,402564,749548,715264,813914,613245,433486,-1,227049,295598,120781,-1,-1,-1,-1,683313,105533,-1,-1,86852,878638,-1,211793,-1,388197,-1,-1,-1,-1,-1,410475,-1,212887,-1,752016,751393,909503,823317,-1,941871,768328,-1,-1,683643,230194,172225,-1,-1,319609,-1,984122,232673,924734,-1,737020,-1,-1,-1,494848,-1,-1,-1,883515,-1,-1,243590,893864,-1,-1,-1,603402,-1,-1,-1,-1,-1,-1,-1,-1,-1,965945,62299,106985,506072,-1,-1,-1,514727,701924,-1,-1,976502,-1,-1,-1,990734,279148,128721,5774,-1,837979,458868,-1,161958,453884,675265,480358,530783,665690,138570,36780,584716,98770,-1,128137,464118,184245,-1,295242,204257,619277,72861,-1,249451,-1,-1,-1,879954,76235,-1,-1,-1,878506,-1,-1,467329,130893,-1,518505,495384,-1,-1,-1,93027,381795,210551,-1,284916,-1,-1,747040,-1,558922,529703,-1,-1,982005,134070,-1,605154,-1,-1,75021,22097,520714,-1,-1,-1,641306,741833,-1,800448,158910,412718,494074,-1,-1,-1,-1,-1,-1,-1,-1,307310,416208,-1,873543,483062,-1,642095,-1,-1,-1,709324,85497,-1,-1,721102,-1,828328,-1,-1,-1,-1,-1,882952,715978,364641,-1,-1,251442,801541,158372,-1,201610,-1,-1,360740,-1,364448,-1,211495,795486,-1,385719,-1,57108,-1,-1,564392,78520,-1,-1,501346,-1,-1,954618,-1,548578,-1,496239,-1,713821,-1,-1,54568,-1,589292,720857,-1,-1,35437,-1,-1,-1,904168,-1,-1,-1,-1,449459,-1,-1,-1,522227,-1,-1,-1,159381,729340,-1,503690,192401,-1,315132,419766,716179,-1,-1,456884,250568,214373,-1,-1,348358,-1,13282,421965,929762,-1,-1,120439,830957,-1,524186,529786,586426,386868,-1,-1,253004,-1,-1,-1,-1,663227,-1,654718,-1,-1,-1,227407,-1,-1,-1,-1,-1,388067,483389,136616,867452,942260,-1,-1,-1,509216,-1,933071,426355,-1,-1,-1,-1,249349,428355,-1,-1,178016,955287,-1,508658,-1,738831,180342,-1,716971,-1,-1,697317,-1,-1,483456,-1,-1,766203,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,649783,-1,593735,727376,763111,352688,-1,367816,867746,-1,-1,-1,594134,-1,-1,-1,272582,-1,-1,-1,-1,884561,-1,876328,-1,-1,709637,-1,462286,402925,119477,153135,-1,-1,-1,-1,373544,609737,143958,-1,-1,475405,-1,436915,564374,118272,-1,290622,-1,-1,-1,-1,-1,-1,-1,361797,534435,-1,74827,-1,-1,257960,867635,-1,-1,-1,899074,-1,429472,204741,983330,-1,367628,-1,877090,608722,-1,809950,-1,-1,148395,916716,676578,-1,-1,-1,-1,506427,211354,-1,-1,683856,455534,-1,-1,-1,784328,-1,162160,189272,706326,527406,-1,-1,-1,443887,9919,-1,452529,386830,-1,-1,65383,746287,-1,-1,-1,-1,151544,419675,936786,72325,694586,151435,-1,-1,-1,252990,755413,600891,827140,-1,388180,7959,-1,-1,584964,-1,584519,182184,-1,-1,276577,-1,-1,583036,-1,-1,-1,191710,291312,-1,-1,-1,-1,854535,674692,761620,493253,-1,216420,107857,676031,-1,-1,-1,-1,958730,523979,610234,788695,-1,523302,382356,724345,-1,572433,501494,-1,845332,771782,450755,-1,-1,-1,-1,564190,148802,-1,939939,-1,120563,-1,635729,800233,-1,-1,437799,-1,-1,-1,32593,-1,-1,821798,-1,845729,177305,-1,547423,405467,192279,-1,969434,-1,-1,-1,856687,978465,688939,363834,-1,-1,929776,340079,258224,-1,-1,-1,-1,-1,-1,21292,-1,-1,62913,749462,-1,767651,-1,436088,231081,-1,19134,956914,309196,-1,259457,629889,256404,-1,551295,-1,-1,-1,659791,-1,-1,-1,424049,-1,512931,-1,192007,-1,221500,-1,-1,39891,-1,699975,826460,985541,-1,-1,317959,-1,324551,-1,212715,601525,-1,759990,-1,805309,-1,-1,401400,485528,-1,-1,171717,-1,-1,428272,489938,712699,-1,277903,-1,61083,-1,-1,911773,108686,996942,-1,-1,645437,700230,-1,608946,686799,74901,154142,812244,-1,-1,-1,554914,523856,-1,-1,594783,-1,-1,865246,523889,-1,552265,553997,-1,-1,788640,-1,162007,-1,-1,-1,790027,948243,-1,-1,-1,193093,-1,-1,-1,146344,506603,-1,913256,-1,693538,-1,-1,-1,-1,203381,-1,62628,-1,-1,129778,588277,92888,247929,-1,-1,-1,-1,-1,-1,-1,-1,937688,-1,161815,-1,-1,817898,588035,640334,-1,-1,463844,-1,-1,984147,-1,449467,22970,260849,14283,463124,447479,430005,-1,-1,413323,-1,-1,-1,-1,-1,252594,953565,555632,530959,507341,-1,960814,300407,747278,-1,-1,-1,-1,764063,-1,584021,561893,3413,-1,395768,707102,597909,-1,35446,961451,935807,574726,52266,-1,-1,-1,915547,852285,490012,-1,-1,108130,-1,-1,856724,-1,239773,768694,-1,-1,-1,-1,4188,-1,860736,-1,-1,677700,8269,259142,-1,282366,940619,-1,-1,591281,159478,-1,-1,-1,-1,-1,-1,-1,539847,895175,853590,674516,704323,-1,385171,18424,-1,553290,868439,-1,-1,-1,261640,-1,-1,172829,154651,43673,399109,661917,664307,-1,-1,608236,-1,-1,-1,-1,-1,-1,599996,-1,-1,-1,-1,-1,-1,-1,861972,125919,-1,379685,-1,751093,-1,-1,-1,461731,809053,-1,-1,-1,-1,-1,-1,767656,310210,-1,-1,-1,777979,775490,251540,-1,141651,473563,-1,402211,-1,-1,-1,-1,85967,-1,-1,-1,-1,738832,-1,-1,-1,547526,-1,-1,220005,-1,112144,-1,-1,102783,-1,-1,-1,437533,-1,545241,-1,-1,408856,740323,691881,-1,954633,-1,-1,817554,-1,415042,983401,314523,-1,-1,422148,-1,-1,-1,411161,-1,294541,-1,276263,-1,241372,-1,-1,-1,564964,40440,-1,-1,-1,-1,769003,275487,426568,716489,527669,-1,516950,480547,-1,-1,-1,-1,-1,-1,58832,521975,592624,-1,-1,883617,570869,882315,163109,-1,-1,716134,640954,-1,-1,606008,792720,-1,723912,-1,986987,840137,-1,-1,419714,115705,-1,-1,535936,27697,-1,900647,-1,577198,-1,315199,-1,-1,-1,-1,748805,-1,961330,379565,631133,978557,765308,653147,-1,85403,907647,517545,-1,-1,-1,-1,-1,-1,864739,-1,-1,599376,555015,145553,-1,-1,-1,-1,241420,767445,-1,698375,822286,-1,-1,-1,432105,988406,-1,-1,-1,777141,256077,782089,-1,273034,987154,-1,614989,-1,-1,984258,278190,-1,166978,-1,-1,697101,-1,-1,529082,984894,711680,-1,-1,-1,-1,-1,522083,526992,650555,-1,955547,259309,-1,285438,917940,-1,-1,299674,672067,231425,294300,618227,-1,200713,429447,573383,218387,-1,-1,420706,612030,503246,269488,-1,-1,492288,-1,708972,137758,-1,128128,-1,97019,-1,-1,157368,541825,-1,-1,-1,-1,417546,-1,-1,-1,701885,-1,-1,792177,-1,240771,359228,221415,836065,978858,-1,944054,418057,-1,-1,502904,-1,-1,-1,417172,-1,-1,-1,-1,389508,715920,-1,-1,190190,499514,98854,-1,806305,14520,742170,935297,-1,-1,140080,-1,-1,721478,-1,-1,230285,270030,779875,-1,-1,-1,560422,64198,-1,923297,-1,-1,804268,95084,-1,-1,40174,48161,831758,924826,306025,480629,429205,899612,171562,478948,865831,592788,291854,222613,-1,-1,639137,559375,-1,750860,-1,304021,283884,681110,464122,612401,-1,-1,470242,946953,-1,-1,176279,254128,-1,-1,-1,-1,482023,671819,-1,864688,-1,640246,706563,-1,-1,-1,341173,-1,862115,-1,192600,476818,303820,-1,-1,-1,-1,-1,-1,-1,352534,-1,283171,-1,882374,698158,240160,-1,690544,-1,895690,-1,723535,334221,935939,653545,-1,-1,521435,21537,-1,958345,10668,-1,89937,780406,-1,147868,-1,683243,-1,-1,-1,314461,-1,-1,-1,-1,-1,-1,268179,611270,262305,-1,909910,-1,-1,-1,-1,-1,454496,-1,579172,150036,767879,-1,191573,-1,530213,668913,740000,-1,175548,55005,571368,-1,2893,926466,-1,214310,341947,-1,-1,-1,750240,-1,-1,-1,714633,547296,99243,-1,-1,511685,586739,-1,-1,251842,300953,802173,-1,-1,759128,247623,-1,227484,-1,976490,351496,-1,-1,-1,844892,149182,-1,892976,-1,-1,-1,-1,339648,920945,-1,-1,-1,-1,384280,210558,-1,-1,342835,471068,-1,25502,-1,-1,354173,729691,557420,512231,-1,15862,660017,98249,-1,-1,-1,935682,416351,-1,125286,-1,36120,-1,-1,570582,-1,608097,-1,-1,-1,-1,910151,394850,-1,714867,-1,23989,-1,-1,-1,21074,208590,901529,-1,323225,302898,-1,-1,791949,-1,-1,627667,977709,703483,-1,111935,-1,-1,866830,407127,-1,630998,-1,-1,67872,176742,-1,-1,734895,-1,-1,-1,-1,358138,-1,893890,250738,997338,187709,-1,-1,-1,-1,-1,131694,-1,754603,-1,5139,-1,662273,641946,-1,593125,-1,120157,624635,275796,-1,-1,561918,-1,866038,785257,-1,802419,-1,56410,-1,720257,161867,511949,626507,-1,769767,846712,-1,-1,654218,929505,-1,-1,-1,313324,-1,-1,-1,-1,-1,-1,-1,-1,832720,619745,140662,-1,818294,801979,-1,588979,-1,-1,248758,-1,332073,618036,786737,352973,-1,-1,830626,-1,985058,949365,514621,-1,900566,-1,-1,218153,58882,-1,463238,26736,61282,-1,947116,-1,-1,755374,545860,-1,77200,-1,-1,-1,120407,967433,-1,461594,675882,-1,992305,-1,932502,-1,-1,-1,733729,-1,-1,-1,-1,984000,-1,76114,301865,-1,641870,267112,-1,-1,462217,-1,-1,129705,-1,-1,225230,-1,-1,697411,-1,-1,-1,-1,755074,191262,-1,-1,-1,-1,-1,469764,-1,-1,994542,790077,628555,151269,817393,374402,-1,-1,-1,644307,564689,962599,-1,412143,284198,-1,544657,-1,-1,944730,542741,62736,-1,-1,-1,-1,-1,-1,-1,434076,-1,-1,362553,-1,-1,155374,-1,871698,-1,126143,-1,-1,436039,-1,-1,-1,193166,-1,436753,578248,-1,556597,494293,-1,-1,-1,-1,-1,-1,405172,-1,-1,57650,723472,-1,624429,755760,-1,-1,-1,-1,-1,-1,-1,441433,827196,953923,-1,542623,217325,-1,225856,654128,-1,-1,882827,-1,698460,693534,-1,867924,-1,-1,-1,515039,-1,-1,-1,-1,573237,350007,537793,-1,380973,-1,-1,-1,115167,315256,625044,413919,485552,338173,-1,-1,379465,-1,442463,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,898114,-1,-1,356719,644608,987934,14362,-1,-1,-1,-1,703354,260507,-1,415897,-1,-1,948896,-1,-1,-1,466663,-1,196742,-1,987051,640598,-1,-1,276285,-1,-1,-1,-1,262062,-1,971428,292227,-1,-1,-1,-1,-1,-1,-1,84344,449886,-1,450427,331391,736694,832903,-1,354101,-1,-1,-1,345596,-1,21975,-1,-1,90806,718839,696322,827908,-1,545990,849693,-1,599318,-1,640613,774387,857166,-1,278990,-1,-1,875729,-1,396546,706432,820715,-1,850976,79628,216606,-1,543513,543413,487286,604639,-1,853797,-1,-1,584124,542167,-1,137178,-1,388250,483657,253845,554302,-1,-1,139715,-1,-1,-1,196876,936609,743598,-1,779228,-1,-1,-1,565371,119291,-1,860656,-1,-1,68173,366246,333619,573619,-1,654627,611207,247949,-1,118168,994268,-1,-1,-1,447658,-1,-1,-1,716684,-1,334167,-1,-1,-1,929363,-1,-1,823872,77907,-1,-1,590221,-1,515745,260271,14198,339234,-1,129901,267157,-1,171194,-1,671260,-1,851706,-1,-1,262221,448712,-1,-1,-1,732004,-1,-1,622161,758903,990265,892915,636224,-1,-1,647167,-1,-1,-1,383467,457516,279341,629286,483231,-1,-1,36261,-1,-1,929625,-1,57463,-1,946639,585372,122527,224411,384895,224682,748349,-1,-1,-1,235036,-1,386567,640950,705007,-1,32159,-1,-1,592622,499936,-1,303159,-1,-1,716597,416588,-1,-1,384949,414626,27202,-1,142422,-1,858056,-1,-1,-1,-1,890065,-1,249303,653920,935372,733551,517803,823101,328016,620707,310519,-1,239827,-1,-1,114329,22823,-1,479724,-1,-1,-1,364637,-1,719468,-1,7028,-1,-1,99933,-1,-1,-1,-1,-1,-1,-1,-1,-1,198685,-1,-1,-1,-1,-1,-1,658829,245283,-1,301861,-1,-1,578647,-1,384177,634879,379610,413157,-1,375197,-1,180427,-1,-1,476525,658494,193038,626872,373313,657911,992968,-1,640811,757587,-1,309973,-1,-1,787716,888059,386479,959648,571867,-1,-1,590288,-1,-1,-1,-1,-1,668931,-1,171129,431132,577467,-1,-1,904000,-1,650884,526049,786762,-1,400738,11729,-1,62626,-1,104679,110184,281116,652678,294182,-1,951497,94227,-1,793746,-1,-1,-1,422211,393643,-1,93969,-1,148944,-1,726138,-1,707464,-1,476112,41211,-1,130878,-1,-1,-1,-1,154156,689456,488939,414501,-1,-1,-1,919732,-1,-1,482976,-1,49222,488919,-1,-1,113532,-1,-1,30948,662328,361688,350688,647993,-1,162040,961543,867574,-1,-1,-1,293233,411085,-1,-1,938529,-1,539438,626345,-1,490075,632091,-1,150513,520841,-1,-1,468066,503578,967042,190399,252872,-1,792656,282395,-1,68294,381630,-1,-1,336265,-1,-1,-1,313836,11667,959624,337943,-1,-1,844157,596770,-1,-1,-1,-1,-1,-1,425530,711048,642119,-1,871838,382821,-1,-1,827968,850426,66062,718826,-1,-1,-1,-1,-1,45938,-1,-1,596652,567389,93205,388149,-1,636050,-1,959511,-1,-1,-1,-1,-1,214235,807662,582713,-1,-1,-1,804835,574968,96161,-1,674259,-1,641084,202856,-1,662150,91319,-1,308760,504570,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,754874,-1,-1,-1,403586,-1,-1,-1,-1,-1,314138,843911,19858,925881,137027,591369,992150,-1,-1,727139,-1,735312,-1,-1,220874,526747,-1,-1,230009,216873,929273,681471,-1,-1,892168,-1,981087,206322,896535,-1,844660,502024,46581,297595,605725,-1,-1,-1,-1,-1,405670,-1,-1,111346,-1,71923,823426,-1,350129,-1,913114,904836,593473,607632,-1,-1,978945,-1,-1,-1,-1,-1,-1,-1,794138,-1,-1,-1,925055,-1,-1,638701,-1,-1,748518,-1,678821,584779,213290,-1,-1,372435,-1,-1,-1,-1,-1,-1,-1,162415,-1,329236,290841,-1,-1,-1,51373,-1,-1,150328,61887,335140,-1,954977,-1,-1,-1,111743,-1,847715,-1,138965,750922,381611,-1,998133,-1,-1,643017,-1,618838,-1,338,310149,152163,882863,399463,869953,254219,-1,-1,-1,-1,696954,-1,678144,101122,-1,-1,411583,677602,-1,439382,-1,-1,-1,983315,791658,-1,844641,649875,857989,163553,706063,-1,583426,-1,-1,881747,913470,160344,-1,739600,-1,-1,-1,490229,-1,-1,-1,699605,80163,29319,528056,339085,398950,-1,185023,-1,799062,201693,-1,-1,-1,9248,-1,-1,-1,493206,590015,670654,-1,54377,506514,-1,-1,352576,-1,-1,-1,553922,-1,-1,-1,-1,348198,-1,-1,-1,-1,889824,-1,146388,-1,-1,-1,870846,-1,575304,328980,62467,754840,409256,-1,147474,-1,537813,-1,74347,949881,-1,-1,415082,-1,453529,-1,231105,-1,836993,878866,527605,-1,950697,549524,875627,-1,-1,944006,-1,609121,-1,40328,444573,718277,-1,115064,-1,-1,649766,-1,90629,509027,20300,307235,528125,473792,94110,-1,235980,-1,-1,-1,-1,625489,-1,-1,664135,-1,-1,771032,844002,85117,576975,960854,-1,673383,-1,225316,621278,545692,-1,-1,-1,-1,502626,287635,293698,837037,306915,-1,860278,912501,111202,-1,792028,529055,133005,-1,-1,724860,-1,66302,-1,-1,-1,-1,742047,570204,596979,-1,665806,-1,79484,260658,-1,509357,-1,-1,364789,211036,726683,472073,164275,477827,607826,360958,-1,88106,452476,-1,421379,-1,-1,304810,810357,-1,-1,659986,34265,620398,-1,-1,432677,-1,737755,-1,-1,818401,543832,547195,-1,-1,619593,-1,-1,334458,-1,-1,-1,744379,-1,567931,-1,815359,366628,901328,361896,-1,-1,820451,-1,-1,424712,-1,-1,-1,498072,-1,-1,405211,-1,267999,-1,-1,927219,-1,-1,-1,880690,-1,-1,36039,343108,698496,-1,-1,160395,-1,785230,46128,349590,204873,770288,806277,-1,-1,-1,813742,-1,84309,-1,686704,-1,-1,-1,-1,655902,-1,-1,994969,761025,-1,480551,-1,911160,63067,-1,464176,650870,-1,886816,846587,-1,-1,-1,-1,-1,201602,-1,115055,-1,973763,196146,-1,-1,-1,-1,-1,502886,296309,-1,-1,800654,476048,857675,839706,495814,393348,241644,-1,185480,749966,5643,-1,610903,542314,-1,-1,568827,-1,-1,140843,-1,903115,431615,-1,590694,-1,-1,-1,-1,151253,-1,899269,491357,-1,296901,-1,-1,-1,639855,657208,-1,731174,-1,206328,239255,704039,-1,773249,180049,968887,-1,-1,710410,-1,-1,94522,403038,968503,-1,-1,-1,684873,419436,339914,-1,-1,811008,-1,385140,754654,135314,-1,-1,-1,-1,-1,908392,697682,-1,-1,756168,-1,-1,-1,-1,505127,34193,-1,-1,-1,-1,926412,-1,778916,553711,422124,86655,-1,510159,594514,-1,-1,-1,-1,-1,390389,723336,161139,-1,-1,161606,182869,383817,-1,485463,907760,184070,447380,-1,-1,-1,420904,655801,699549,-1,117629,-1,943292,194643,-1,976658,-1,874014,667735,-1,487509,705223,-1,617571,-1,-1,-1,-1,-1,281923,750173,386175,-1,-1,320634,-1,-1,625173,-1,-1,-1,108797,197413,632195,653160,-1,618194,-1,19401,-1,10521,-1,-1,389408,709515,-1,161865,495698,-1,335943,159202,-1,811310,516971,666149,-1,-1,-1,-1,953211,-1,-1,-1,-1,-1,689092,324834,-1,142218,154924,224498,89415,532682,45201,186989,128606,-1,700838,147293,-1,-1,891186,27509,259028,-1,207675,197164,537108,-1,-1,742293,405935,860427,228698,-1,-1,-1,-1,50769,-1,274927,-1,350270,-1,-1,-1,-1,140933,704153,-1,800711,316411,-1,644155,967655,-1,-1,-1,-1,880351,-1,-1,-1,117288,839189,259841,-1,-1,-1,63320,553683,940821,-1,-1,-1,36863,-1,203255,-1,-1,-1,-1,-1,942405,808063,-1,89564,-1,-1,-1,8628,-1,564445,-1,-1,-1,-1,-1,-1,810051,-1,-1,905258,584062,954103,-1,376893,-1,146805,-1,801924,916475,-1,-1,-1,809263,-1,-1,318104,-1,-1,327970,-1,101298,881920,643159,-1,999151,763975,-1,197963,811476,-1,431293,75401,899248,609488,-1,-1,-1,373098,309821,843130,898326,978263,-1,-1,110963,278592,-1,-1,-1,-1,-1,845372,-1,979978,-1,-1,-1,-1,-1,-1,-1,65055,-1,-1,-1,631579,37699,-1,786977,390201,359097,-1,-1,256093,468230,730632,-1,155639,873077,-1,146362,661963,878368,105547,326967,54803,-1,-1,904012,717981,957556,569815,919549,-1,-1,664902,-1,-1,-1,-1,-1,505719,-1,314778,-1,574736,938592,-1,665763,749098,848721,-1,-1,122856,-1,244264,-1,-1,-1,-1,-1,-1,880653,442907,476921,-1,-1,731539,-1,-1,744704,277464,200045,600726,76714,-1,-1,-1,373917,-1,-1,-1,-1,862045,-1,587480,-1,431249,291178,17366,605647,939350,99141,974860,317706,-1,-1,-1,539335,-1,134565,716570,293506,-1,846170,44305,-1,-1,432066,-1,-1,700646,-1,-1,-1,418275,25384,-1,780139,-1,708996,-1,-1,-1,549427,-1,450451,179114,115861,-1,546124,642150,-1,-1,213737,222505,916907,-1,250524,-1,524321,-1,-1,71931,8551,-1,190098,523388,542733,859083,80,161896,-1,-1,-1,-1,168884,-1,7160,-1,417996,671489,-1,-1,939913,438534,-1,908613,736316,839927,-1,-1,783457,-1,-1,233031,924407,-1,993989,33504,158852,643568,924072,-1,729968,508899,665178,910720,-1,-1,763579,773766,865635,955005,-1,85983,181465,735508,318593,-1,413142,-1,-1,-1,-1,-1,-1,-1,522082,-1,-1,998660,980772,709404,-1,717098,-1,123981,-1,671101,-1,396235,-1,679434,372504,675868,418806,-1,295318,780442,-1,904717,914636,414004,-1,-1,-1,760863,772692,-1,609982,787299,465811,-1,171871,-1,888869,-1,634179,-1,50612,343085,248408,69205,571235,-1,-1,173135,-1,38123,651269,389772,46557,966536,925570,747203,-1,-1,-1,-1,110810,-1,892580,-1,-1,123686,9001,-1,472868,819603,367122,767908,825629,448613,-1,-1,181783,-1,140878,540407,378678,-1,253883,-1,173994,-1,220626,-1,-1,-1,875698,-1,-1,-1,-1,-1,13075,-1,-1,472556,-1,578875,316491,-1,-1,-1,-1,7807,-1,964732,-1,-1,-1,555025,-1,-1,-1,973489,-1,621049,-1,-1,-1,275321,65580,-1,878037,-1,64045,753667,298741,449565,163892,-1,677413,573073,-1,826419,636105,-1,508945,-1,-1,-1,-1,-1,-1,-1,-1,-1,661386,626014,131620,-1,180345,-1,336196,872354,250562,577488,592584,-1,-1,764718,-1,458762,-1,786324,247125,274374,160931,-1,-1,140307,132986,-1,-1,-1,-1,117053,696693,256929,-1,-1,683367,971747,-1,-1,813445,-1,185137,-1,249723,805816,538750,577698,662866,-1,499279,394002,-1,-1,29496,-1,-1,-1,-1,115011,517755,-1,-1,73495,300973,-1,-1,-1,-1,-1,-1,-1,410622,-1,365965,-1,17191,-1,-1,-1,-1,432080,-1,-1,215299,-1,-1,889968,222586,966584,713668,-1,-1,-1,-1,-1,-1,-1,77715,-1,-1,-1,-1,163564,-1,709589,514496,68526,-1,85026,-1,776294,655985,390182,-1,-1,-1,-1,-1,-1,56808,718295,800961,541941,-1,-1,739008,-1,-1,362918,-1,-1,-1,-1,-1,458306,300479,848565,247840,852221,-1,-1,777385,274220,-1,-1,455924,466241,-1,-1,-1,-1,283892,539581,593382,-1,-1,-1,847,570049,50355,-1,-1,406690,-1,972280,508617,-1,-1,-1,-1,773764,-1,-1,-1,435518,-1,-1,448552,-1,462227,-1,618822,639596,200937,-1,-1,57667,819315,334027,989118,830446,-1,-1,-1,-1,289612,489039,-1,-1,-1,885196,-1,-1,-1,-1,867849,480326,867321,-1,38918,-1,-1,-1,-1,-1,573488,-1,-1,997726,739794,-1,331808,-1,581757,-1,878171,814903,-1,819752,-1,339709,-1,-1,-1,-1,-1,600169,927852,592208,-1,216180,-1,279520,-1,-1,-1,-1,-1,-1,-1,159739,505549,-1,440288,946713,-1,-1,718284,-1,-1,716,212457,-1,337384,203428,556222,-1,237045,-1,321764,966567,-1,921627,-1,-1,233552,838532,-1,-1,844307,603209,-1,122766,-1,-1,-1,-1,590190,-1,-1,296581,-1,-1,240516,-1,-1,-1,-1,832039,532073,-1,-1,-1,-1,824268,543437,-1,-1,-1,-1,-1,-1,867953,-1,928677,978061,-1,273822,-1,301925,199606,235625,535005,-1,-1,130492,514688,-1,-1,630413,-1,-1,879691,689086,974601,-1,656663,15276,210588,447823,-1,338143,-1,-1,368171,991958,945026,491624,525879,176431,906916,572331,878312,-1,-1,934014,12051,258690,-1,349761,377673,336114,-1,156988,360818,313999,-1,860130,861014,802249,-1,529104,-1,774649,-1,841498,173802,-1,-1,-1,-1,-1,39089,-1,424017,-1,351680,-1,-1,-1,624931,301614,-1,-1,39133,261819,513423,-1,-1,-1,645657,870462,5377,423166,292350,-1,472547,-1,-1,-1,-1,60669,-1,-1,641176,-1,-1,-1,311272,-1,-1,-1,695542,600468,558139,292287,228488,-1,-1,-1,-1,-1,838564,-1,450574,833065,614041,-1,-1,242821,-1,-1,131582,867765,-1,-1,-1,-1,-1,-1,-1,-1,662355,-1,-1,-1,956458,-1,-1,833481,-1,45613,-1,-1,866582,880043,893606,-1,-1,893662,648606,-1,411006,919687,-1,-1,399231,99611,-1,-1,-1,-1,536107,-1,-1,-1,486367,520765,-1,220651,-1,107357,-1,-1,822813,-1,-1,568138,-1,-1,-1,-1,991108,-1,-1,-1,882824,-1,750254,-1,-1,-1,-1,137493,-1,941437,22381,-1,429959,914763,-1,673102,457031,-1,-1,-1,-1,-1,292674,48636,553448,-1,134867,-1,602754,84286,651752,-1,-1,347035,-1,-1,-1,-1,-1,513339,399718,-1,-1,-1,492860,869419,652089,363961,363490,674780,-1,499090,689107,-1,-1,-1,-1,93612,269097,942308,-1,-1,-1,93190,400914,540614,-1,131578,938252,386553,623678,547107,732749,346556,-1,662043,-1,221713,-1,-1,-1,819183,-1,-1,-1,-1,228640,-1,868282,-1,-1,-1,-1,864146,397287,617896,-1,319568,160308,408625,403041,-1,900931,-1,-1,459661,651371,-1,-1,-1,868477,-1,595774,-1,-1,-1,-1,404312,428616,-1,-1,179732,-1,-1,-1,293128,-1,917417,-1,-1,-1,-1,-1,436386,791547,-1,-1,-1,708141,849576,-1,-1,469344,-1,98057,705184,852690,388874,-1,380696,-1,245156,-1,-1,-1,715218,-1,-1,-1,230327,663915,991272,148922,471470,121687,-1,-1,710774,152234,842138,27152,567070,346544,-1,-1,29953,760646,253700,213043,112642,153818,-1,-1,-1,-1,429719,412035,-1,60553,-1,500442,987314,-1,-1,856185,841002,440902,-1,184850,-1,504481,937702,-1,464686,-1,390841,29400,874709,-1,711361,120004,-1,-1,761872,182982,870516,-1,-1,-1,51056,-1,-1,-1,956154,-1,-1,-1,884919,405251,-1,642086,963450,131248,729106,436873,-1,346099,711959,-1,456417,-1,-1,-1,494170,-1,-1,618138,593324,-1,-1,-1,809855,864636,-1,395467,-1,-1,246685,90323,854432,434583,992219,-1,-1,-1,611130,587037,-1,645819,-1,749870,584333,184104,-1,-1,-1,-1,351884,998648,579163,525633,-1,267261,948129,548102,369345,-1,142632,635473,-1,-1,680558,-1,531193,-1,-1,465556,153921,4263,908239,-1,145329,-1,942289,438794,413130,378941,-1,48980,-1,-1,-1,626280,-1,-1,-1,-1,64717,-1,-1,640753,-1,-1,968335,-1,-1,859022,264720,875462,-1,-1,501868,-1,467896,810132,-1,-1,-1,24954,-1,-1,-1,116934,29503,-1,-1,-1,156015,-1,470136,-1,-1,528892,776493,-1,-1,-1,257736,-1,744898,303851,376132,-1,972483,-1,241401,-1,344244,26272,-1,-1,888206,-1,534788,338867,134281,-1,-1,923797,718195,56934,777214,-1,-1,421496,943401,-1,838440,264667,653157,110768,734145,626574,250672,-1,862368,-1,785427,190725,-1,-1,259250,-1,-1,816135,-1,-1,791027,-1,70526,402992,892904,573352,-1,-1,-1,-1,-1,982341,-1,-1,316035,-1,326712,280229,-1,-1,310996,930349,30852,137401,784754,181577,514685,867644,-1,-1,-1,757117,-1,-1,-1,435955,142190,-1,660415,-1,-1,907516,672422,79629,841325,-1,-1,-1,46877,441661,-1,963646,-1,535020,740983,15319,266664,459576,-1,-1,-1,-1,930022,81655,536804,-1,-1,106205,75423,-1,607619,-1,983442,561520,-1,464604,-1,-1,-1,541579,-1,-1,191989,987827,578283,-1,716274,-1,-1,-1,-1,-1,929921,917423,-1,-1,952532,551501,-1,-1,-1,780153,-1,47736,-1,485860,-1,786165,-1,-1,-1,544283,691268,-1,-1,-1,-1,-1,328717,163503,798597,944210,-1,220128,340106,551344,261546,341995,635495,145852,-1,651696,-1,988957,-1,281512,-1,90997,629407,-1,-1,-1,-1,-1,-1,194120,607015,903418,-1,-1,-1,-1,832157,618508,-1,-1,-1,317875,-1,-1,-1,-1,991874,-1,509941,509915,-1,-1,-1,122274,54289,746815,75780,103903,521019,-1,356609,-1,-1,-1,-1,160436,-1,273355,-1,-1,-1,-1,-1,580000,-1,-1,640327,607031,333102,546917,-1,-1,-1,236048,265184,-1,-1,369265,-1,-1,834144,-1,-1,-1,-1,870103,-1,-1,-1,-1,357690,770611,-1,-1,534978,447781,-1,-1,-1,202242,300987,45024,-1,734912,391718,795121,49340,204784,164259,-1,-1,530079,-1,593946,607195,-1,-1,-1,225643,-1,-1,-1,-1,-1,675161,339221,-1,-1,884771,-1,323177,-1,-1,658153,277493,-1,-1,525090,938120,-1,-1,-1,-1,828777,-1,907408,-1,-1,992144,65563,882535,562188,-1,-1,534129,39130,-1,915709,-1,87212,562872,882298,-1,534792,298494,-1,191941,923102,979003,564896,-1,213722,-1,240948,27838,-1,-1,-1,898057,791757,-1,849057,275661,-1,-1,-1,899455,812321,-1,972281,184217,997043,-1,-1,-1,-1,-1,825565,423649,-1,-1,349301,-1,-1,-1,71326,-1,612087,-1,-1,-1,779205,-1,-1,-1,672214,-1,-1,-1,-1,-1,-1,474081,255884,775489,-1,-1,19038,-1,-1,24051,-1,-1,501246,-1,847046,835788,-1,-1,393178,604877,-1,355685,-1,-1,-1,-1,764426,202902,-1,812139,-1,-1,-1,-1,261746,637424,-1,411873,-1,300690,787364,-1,864405,-1,580823,-1,694741,597886,171043,-1,-1,-1,930578,13049,935125,31563,-1,881873,-1,-1,-1,609061,360042,-1,587088,270697,-1,609518,-1,-1,-1,-1,508434,115364,174813,373320,314749,972463,-1,-1,-1,-1,-1,233478,-1,41963,806176,-1,-1,779051,47226,263315,548038,-1,-1,659582,-1,97639,-1,265800,171802,-1,-1,-1,-1,989950,689219,-1,-1,867236,-1,226733,366217,-1,582266,214007,102539,187255,229891,629643,386237,184606,995668,353211,-1,370950,386321,367183,195777,-1,817851,-1,-1,919132,162310,271521,900640,642498,960520,953842,-1,594729,738514,688693,169508,-1,-1,937654,-1,-1,-1,-1,782826,250558,-1,250602,-1,-1,-1,-1,-1,711286,-1,209798,596213,-1,-1,821325,56004,-1,782410,-1,872927,750706,563118,472880,-1,-1,-1,-1,675524,-1,60509,-1,847443,-1,529582,-1,228038,-1,-1,867375,628334,-1,214020,355765,-1,-1,123754,-1,668383,-1,-1,-1,-1,-1,-1,131404,-1,-1,18756,646507,72604,783665,621762,622114,859247,145691,-1,623788,672621,35812,-1,275690,294017,278171,-1,-1,-1,-1,190316,-1,-1,-1,-1,509614,-1,-1,-1,823891,-1,-1,-1,812912,516769,287678,-1,562926,-1,-1,743624,825087,394891,193692,704479,608771,-1,-1,-1,-1,-1,-1,185638,-1,-1,-1,736737,781085,945117,541544,-1,542525,67845,567819,241670,-1,554231,152892,675270,801403,-1,-1,-1,465004,438000,22040,-1,179907,-1,367532,831773,-1,-1,-1,899431,360294,395846,228513,-1,-1,-1,505981,-1,795041,-1,-1,992241,855172,674706,-1,-1,555178,-1,-1,-1,351205,-1,-1,-1,85412,967923,469370,-1,957298,-1,83213,647027,94478,975418,339313,339215,-1,-1,739028,-1,459713,-1,-1,78375,-1,309046,975705,743076,-1,811951,-1,555010,556896,126169,49531,-1,-1,480729,-1,894841,120697,-1,786704,-1,-1,435600,-1,913397,-1,555449,-1,-1,443077,262149,-1,-1,988476,-1,-1,-1,304765,-1,10685,484227,679531,2143,-1,812028,322020,567422,-1,-1,205798,-1,-1,71972,374936,834648,776374,996822,-1,-1,-1,40447,-1,664677,-1,568051,-1,297087,-1,-1,162303,225287,-1,829863,-1,163605,-1,920470,-1,-1,-1,-1,-1,-1,522129,5399,-1,314814,359926,-1,-1,506447,465038,485629,946117,862285,392382,608743,153668,-1,-1,696709,836270,-1,-1,320327,-1,954860,916879,-1,42506,-1,296964,-1,271059,-1,737810,-1,-1,126929,693558,883059,-1,65016,284030,436502,-1,-1,591039,852139,947816,-1,-1,-1,-1,-1,379046,-1,-1,561545,614356,67957,653493,-1,845439,226016,16316,-1,-1,-1,-1,837313,-1,-1,879512,422586,33924,369329,474909,371743,-1,964400,536275,617651,-1,705790,814906,-1,-1,532143,-1,-1,298744,889039,-1,-1,695214,-1,-1,246805,-1,-1,-1,127608,-1,112890,32975,750944,278451,-1,-1,785816,-1,-1,-1,-1,-1,34301,-1,-1,-1,-1,481856,846571,349792,42832,146007,333749,200145,-1,576957,409946,224695,678526,-1,536269,816331,782162,615862,-1,-1,-1,998136,215650,215857,648282,923123,601860,-1,-1,411958,-1,405645,291760,290271,-1,863603,-1,-1,153740,-1,-1,678988,-1,-1,-1,-1,157721,-1,-1,-1,-1,964750,982512,140032,-1,-1,-1,-1,-1,427269,76520,43985,235699,-1,151964,439820,-1,191850,-1,-1,213837,817698,438996,-1,390743,249735,-1,187057,320536,-1,199269,-1,970060,-1,421321,345565,-1,861388,389337,-1,-1,-1,446956,-1,29162,913264,995477,664502,-1,-1,-1,355610,355379,647232,-1,-1,-1,-1,-1,352840,-1,31535,-1,408226,-1,576145,-1,332523,965660,981701,509370,-1,-1,139769,108406,-1,-1,918027,-1,-1,216278,-1,-1,943362,893853,993748,-1,-1,833384,-1,621976,-1,-1,102032,-1,-1,-1,-1,-1,708512,-1,195331,286578,948349,453645,984570,377113,448246,-1,396425,468801,-1,-1,477031,836667,-1,-1,40963,106698,611012,13056,982063,574409,-1,-1,493763,811662,-1,-1,749065,-1,499353,-1,809047,415979,235745,-1,126136,-1,-1,-1,35372,896319,-1,17451,393205,-1,-1,511682,-1,61234,-1,96802,467187,201543,355766,-1,-1,-1,-1,603855,-1,-1,-1,-1,-1,803398,-1,-1,-1,-1,-1,108719,-1,-1,730709,-1,292312,313795,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,913992,565039,710726,690190,462769,721535,187786,70940,965987,-1,84172,945046,-1,135696,225088,413547,886207,634407,49216,744308,689077,-1,483502,117519,738856,993806,311493,-1,-1,-1,-1,-1,199375,742526,604154,377276,306298,-1,-1,801185,-1,-1,-1,-1,-1,-1,197588,500550,-1,345659,291192,416701,-1,-1,854212,-1,676635,-1,-1,872673,807782,-1,-1,844207,735087,559445,-1,-1,-1,397500,934048,109865,626776,476524,-1,-1,143499,854512,-1,-1,81825,785051,-1,955069,-1,311760,591028,-1,913812,-1,-1,-1,-1,-1,785442,-1,57122,-1,184117,-1,-1,760400,634947,429333,-1,219580,855328,-1,193544,-1,755350,414840,-1,-1,-1,-1,-1,-1,-1,624665,553060,-1,225731,-1,-1,-1,-1,-1,-1,820106,-1,16998,38155,567858,371527,506553,-1,266075,72853,505201,-1,-1,-1,-1,-1,-1,-1,87067,56399,841371,322918,965735,451246,-1,47071,968282,988037,316177,164870,-1,-1,-1,647511,-1,-1,-1,-1,947071,-1,-1,-1,462030,107673,451644,-1,-1,-1,-1,-1,197300,701853,8222,301252,30160,919294,-1,-1,328687,238912,-1,-1,266854,784224,-1,-1,-1,-1,276992,-1,895944,634703,93719,-1,173149,633174,-1,-1,922254,553035,-1,32033,622093,178121,-1,845329,-1,-1,-1,405,397930,-1,-1,-1,-1,-1,-1,-1,451380,-1,-1,9324,279236,966614,-1,-1,77831,537378,-1,844198,113053,-1,648396,318350,150297,226283,-1,-1,278776,-1,832323,-1,152060,13604,587800,-1,-1,865331,-1,382087,-1,-1,746022,-1,-1,-1,-1,-1,972851,672692,-1,-1,288986,-1,47712,-1,81092,322617,132520,757126,-1,292880,-1,-1,347503,-1,-1,-1,267207,-1,99495,810090,601820,172484,932805,972273,498170,-1,682205,125646,-1,488498,-1,138140,-1,-1,-1,680866,688757,-1,498778,-1,-1,-1,-1,-1,-1,578723,-1,-1,726155,736472,637371,-1,-1,877215,-1,-1,356365,785794,-1,378329,380506,640611,369305,-1,866587,912938,-1,928294,373361,316163,711866,-1,-1,-1,-1,-1,600007,-1,-1,-1,217477,993999,329631,230161,-1,-1,740376,-1,984698,-1,454782,-1,757267,-1,597189,-1,-1,-1,997472,851015,412826,-1,-1,202804,-1,836888,815646,-1,-1,305663,-1,957966,-1,730518,948303,-1,-1,597517,57146,-1,-1,84862,872419,-1,-1,124789,-1,-1,-1,687858,-1,470221,-1,-1,-1,979368,-1,539865,16003,922249,-1,-1,-1,175986,675439,125726,719449,-1,-1,837006,-1,434739,307793,-1,-1,-1,169547,-1,814856,685387,-1,475115,-1,-1,-1,-1,278813,-1,316859,963095,225945,-1,-1,870636,357487,-1,-1,324816,-1,511209,-1,755313,164866,-1,-1,225578,-1,-1,-1,-1,78218,-1,19724,314884,-1,346013,-1,836896,20015,173094,891277,-1,674502,-1,-1,649800,851426,319509,559673,-1,-1,-1,484895,-1,-1,-1,742088,-1,383181,260193,-1,-1,-1,697428,-1,-1,213094,-1,400688,-1,-1,486417,-1,674798,316653,480873,685642,403798,-1,-1,-1,-1,-1,-1,415509,438953,-1,40032,-1,468886,558368,-1,184233,615249,-1,-1,186437,154299,203755,686016,-1,-1,-1,428822,396730,907183,-1,23223,-1,453271,395477,841493,-1,-1,716210,185222,-1,505394,-1,985973,-1,535053,-1,-1,-1,399624,167290,552116,-1,-1,267667,-1,-1,-1,-1,317763,631433,-1,766103,-1,-1,274226,-1,-1,-1,151956,-1,-1,128678,236636,-1,-1,-1,931630,619445,886447,917971,513505,-1,343312,398205,338442,49116,-1,527846,-1,675307,-1,864051,753118,659138,-1,954943,-1,730459,43555,-1,573019,-1,971696,-1,322079,462358,-1,-1,200726,-1,682082,496287,576293,-1,-1,-1,-1,845055,-1,520408,314176,-1,399417,-1,-1,-1,-1,240585,-1,-1,758681,-1,-1,-1,-1,-1,610285,358966,-1,981560,736468,-1,903917,602409,966569,716425,300070,-1,754926,-1,25963,-1,-1,607067,409827,857800,557866,-1,-1,565440,268303,740426,-1,-1,-1,978547,406605,796846,-1,873974,50607,91687,-1,974270,192693,-1,30019,-1,-1,-1,-1,987174,-1,139693,-1,119318,851730,209126,93545,-1,-1,-1,558150,60464,-1,616980,467090,-1,466999,-1,82956,691824,-1,-1,-1,425625,-1,-1,563938,-1,-1,185898,813996,-1,439260,-1,55418,210979,-1,602061,-1,-1,981562,-1,372169,237976,657876,404864,-1,-1,417044,763257,-1,440399,438068,-1,577853,724829,-1,-1,-1,461807,-1,795903,-1,780545,-1,-1,884232,-1,984191,-1,-1,-1,828120,624448,485350,877646,286723,-1,-1,165682,517455,540498,-1,-1,417832,944981,402037,-1,-1,48597,-1,784881,-1,-1,-1,-1,528433,-1,-1,780940,-1,-1,876130,-1,-1,378955,-1,184696,249902,915898,960949,-1,489995,-1,-1,894935,-1,951445,-1,-1,626682,-1,-1,-1,-1,682102,-1,-1,-1,255778,758329,704098,708844,-1,-1,459175,-1,-1,479335,-1,182205,-1,-1,870374,455853,607626,-1,895277,-1,501281,85216,-1,-1,157881,105195,-1,-1,19285,-1,-1,-1,879074,-1,-1,621346,-1,336440,-1,-1,-1,282201,-1,735682,-1,158659,-1,-1,755980,977419,-1,-1,112483,-1,-1,-1,511310,-1,505725,-1,149924,640345,-1,-1,252215,416664,-1,702831,-1,403450,420850,-1,940130,497950,-1,402026,-1,578819,730984,881041,-1,-1,727412,316572,703657,422907,-1,614342,147650,-1,-1,346539,645469,607896,-1,417908,-1,-1,-1,-1,254192,403917,969265,-1,-1,782020,-1,-1,796007,-1,-1,517939,316647,954826,-1,-1,798071,844540,-1,292357,848063,576271,581169,-1,494383,471074,-1,-1,-1,-1,-1,437011,662057,136318,565875,117381,-1,-1,334253,954215,-1,505603,-1,60981,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,956601,-1,-1,-1,-1,421679,178344,-1,425206,-1,-1,996340,-1,-1,911388,-1,533164,370288,-1,1244,-1,-1,216235,55965,450735,-1,-1,279002,267375,-1,-1,947030,-1,217232,517566,-1,-1,165522,-1,240943,-1,803019,-1,319698,-1,170442,959096,-1,139648,-1,433343,-1,-1,-1,-1,-1,-1,282993,-1,932883,-1,-1,624760,132499,-1,-1,-1,-1,936346,166625,-1,-1,576136,552052,-1,-1,-1,-1,-1,-1,860994,-1,-1,-1,-1,-1,-1,-1,482891,-1,-1,432265,-1,-1,828650,-1,-1,628736,-1,-1,860000,371579,315112,95275,323499,-1,-1,925288,-1,422478,-1,-1,101850,874631,-1,-1,-1,609835,11629,782690,229712,198254,784931,224048,-1,-1,511081,-1,840845,650984,710291,-1,-1,505281,-1,-1,180932,-1,914244,344644,-1,-1,704235,-1,495615,889897,443220,151255,-1,152170,47589,648829,223455,-1,795117,-1,74376,279708,-1,-1,534098,626692,-1,-1,-1,651078,-1,-1,193701,-1,559238,91861,-1,-1,159864,208686,-1,431944,984146,-1,-1,-1,-1,188224,308273,483251,-1,-1,63202,789986,-1,-1,301972,-1,548064,-1,862249,-1,-1,-1,901826,-1,-1,-1,428245,273033,100841,-1,-1,858283,-1,-1,-1,-1,908463,411963,-1,-1,-1,-1,172082,153952,77316,-1,-1,518596,632642,-1,105842,-1,-1,528232,584504,-1,810371,524568,-1,890792,-1,659522,216944,-1,771671,842298,-1,-1,-1,-1,582139,940246,620784,131710,-1,555362,-1,-1,773706,-1,-1,478419,655105,490197,345467,-1,631555,-1,-1,-1,-1,172732,530172,490747,-1,-1,988288,688612,569547,-1,-1,276768,660442,40089,410087,-1,870596,-1,-1,-1,-1,767838,115802,-1,-1,-1,550421,289525,909916,14548,280334,952533,990152,538585,134145,-1,-1,151908,-1,878254,-1,-1,-1,-1,501905,436414,-1,27046,799884,227422,387968,862548,-1,-1,813773,-1,-1,-1,-1,-1,-1,-1,950916,495231,-1,-1,-1,-1,395139,-1,-1,-1,670092,416748,174989,-1,611658,567176,-1,703309,603228,97662,-1,-1,-1,-1,-1,-1,-1,-1,-1,152514,-1,735182,-1,-1,675676,-1,-1,-1,254064,-1,615416,-1,152794,778158,-1,-1,27667,-1,-1,56229,935079,835281,546164,867912,186316,-1,-1,-1,980161,-1,773719,-1,-1,-1,583285,126202,-1,605101,-1,705638,-1,-1,-1,85891,983256,-1,757612,394367,-1,256310,835017,621242,998876,414995,140261,-1,178432,-1,-1,270681,126714,-1,958738,-1,124516,955869,-1,-1,584022,378998,-1,-1,-1,878031,692194,741525,-1,831098,708832,-1,145678,52747,997128,973899,-1,148873,-1,32065,-1,-1,205781,-1,89171,-1,934710,-1,691215,991213,693014,-1,414405,-1,-1,381671,-1,11796,-1,-1,405432,443451,507364,633263,668408,-1,-1,415516,121324,-1,481479,39625,-1,-1,-1,-1,329046,-1,-1,190332,920381,460565,111915,-1,-1,-1,627250,-1,153192,-1,116074,908730,-1,-1,-1,962896,-1,-1,-1,-1,-1,641342,-1,-1,-1,827712,-1,302849,834524,665492,810565,-1,699445,692595,-1,158698,-1,989937,-1,-1,496193,-1,444052,656092,-1,531526,-1,-1,-1,469440,425279,965509,451831,-1,894164,-1,-1,-1,871781,-1,997587,-1,322048,-1,503206,-1,-1,227036,708887,-1,-1,933004,-1,-1,480894,-1,-1,969271,72016,434190,331914,-1,-1,-1,-1,-1,538152,279777,732584,-1,-1,696258,964282,674250,150415,79028,141906,269829,-1,792282,-1,-1,438047,-1,47307,-1,-1,-1,165444,854952,131414,640038,92900,258023,-1,31177,858455,-1,787460,-1,-1,-1,528713,-1,416041,902583,-1,-1,-1,471361,742162,826905,686148,-1,289941,-1,-1,-1,-1,161453,-1,733916,829573,958724,-1,832072,-1,857383,-1,-1,965074,672372,-1,842650,-1,243529,-1,-1,282401,496736,-1,-1,530636,-1,202863,561886,412621,332211,-1,-1,363990,77491,252840,872088,954709,31201,-1,463910,139975,403746,-1,540587,924228,-1,-1,812683,-1,-1,-1,173464,644641,-1,635557,137029,658039,957340,-1,603999,279758,-1,-1,77539,-1,523917,-1,114642,601953,-1,-1,-1,-1,675699,-1,591823,-1,-1,498042,454822,413567,993509,183891,-1,264939,-1,117907,-1,-1,461005,920993,836083,438405,-1,3353,-1,-1,-1,-1,-1,-1,905234,-1,-1,-1,71179,-1,-1,-1,457289,621172,-1,-1,219919,-1,305462,499967,-1,272020,-1,159096,-1,-1,172869,29994,273059,-1,675553,-1,-1,-1,134915,711597,449098,-1,800165,365916,806300,-1,439093,-1,280987,76065,655654,-1,-1,-1,478512,388827,770573,-1,-1,924637,-1,593681,-1,183687,88070,870443,-1,840330,-1,-1,-1,218414,-1,743485,489334,-1,80353,156077,496705,-1,381249,-1,-1,736463,-1,-1,819328,558861,705447,333534,-1,529913,674944,-1,326227,541258,963028,837038,-1,-1,557587,-1,698812,-1,276023,438021,906530,313228,-1,792700,-1,-1,-1,-1,706254,-1,-1,-1,524192,83546,-1,-1,-1,37831,344438,228574,-1,415628,-1,-1,-1,254975,22576,430799,163052,-1,725832,54105,-1,878487,733253,845354,-1,-1,-1,437450,868719,-1,-1,2647,-1,339238,632897,-1,418156,-1,591940,-1,401064,223824,173779,-1,813155,-1,-1,934336,-1,73603,-1,-1,-1,-1,342493,-1,-1,850905,-1,-1,-1,424018,565508,451546,-1,-1,-1,264828,-1,-1,331239,684337,375601,838439,906290,-1,-1,-1,-1,832103,-1,-1,-1,-1,249246,-1,635338,604844,678829,-1,-1,-1,745901,635739,-1,-1,820250,249580,-1,-1,-1,-1,208310,329273,635364,-1,-1,260889,-1,-1,-1,270314,240311,-1,-1,-1,951,237016,-1,-1,226264,-1,858667,-1,-1,949832,814444,-1,664846,-1,-1,-1,138467,-1,675065,561085,-1,539033,617671,-1,-1,-1,-1,721437,-1,-1,385647,-1,903389,-1,77636,927589,-1,77391,-1,-1,429794,37566,-1,249062,-1,922435,-1,135638,-1,272976,881522,767335,-1,-1,-1,-1,-1,907307,-1,389716,950083,63562,831931,134675,-1,-1,776168,-1,883715,-1,-1,261002,52582,778510,913230,-1,542538,-1,-1,368437,739117,531825,464377,522427,586252,-1,-1,-1,860311,219725,-1,-1,299522,945231,34208,-1,180687,921185,-1,933870,-1,-1,595801,352248,-1,-1,225585,318305,-1,409348,13804,524021,-1,-1,323929,-1,411916,858966,487749,-1,-1,164603,-1,-1,-1,-1,862387,-1,656514,-1,478496,-1,-1,988277,971551,710320,952877,173262,-1,-1,865491,909529,293334,-1,-1,630464,-1,-1,-1,-1,654235,323439,-1,353927,650067,-1,130545,820584,128009,28919,-1,-1,-1,817594,-1,-1,283119,-1,1595,924325,-1,398544,858217,-1,-1,-1,-1,-1,-1,235452,73637,-1,588255,-1,89103,612379,-1,-1,-1,311704,443622,610720,736740,641132,906428,-1,-1,156320,-1,-1,21065,-1,-1,833810,-1,-1,529466,70454,-1,942603,134463,-1,969836,500750,-1,650918,-1,-1,492946,-1,887561,288030,99399,86853,-1,807867,250055,-1,-1,-1,-1,33212,-1,-1,20523,151052,378745,-1,264764,753598,-1,-1,-1,-1,-1,529280,581290,-1,-1,-1,-1,-1,69454,52335,776395,925299,53842,525092,677068,684176,-1,-1,437750,-1,-1,116942,82169,897218,-1,135164,-1,674900,-1,459966,-1,354076,106818,921751,-1,-1,958918,-1,743786,976465,283065,757371,454393,-1,-1,-1,133682,-1,411362,-1,126428,-1,386191,118690,353732,-1,543778,118396,988722,-1,-1,-1,404774,746783,-1,25581,-1,-1,295917,747774,287854,-1,217279,-1,-1,93370,808834,-1,-1,195609,-1,453511,561898,-1,-1,-1,-1,-1,682374,302824,-1,426001,-1,294758,-1,-1,-1,920278,801013,-1,-1,400525,386463,-1,958872,620728,-1,363140,180639,951877,-1,248767,497089,-1,-1,-1,347153,622089,-1,-1,-1,881877,293742,-1,-1,13682,314784,427693,-1,795831,-1,118890,-1,673959,653969,537668,537221,-1,-1,-1,357392,-1,913094,751310,-1,-1,803355,893862,-1,-1,-1,176164,-1,758447,-1,123900,738819,-1,-1,112015,-1,579428,-1,-1,3637,769060,179330,832636,905288,747481,-1,830078,-1,-1,694666,-1,950088,-1,-1,825871,-1,-1,533307,-1,354059,-1,-1,300172,-1,823042,770249,-1,289509,-1,328393,-1,-1,-1,-1,-1,173923,-1,738345,-1,712455,5252,786400,-1,-1,291233,-1,-1,466933,906874,174341,-1,156241,-1,562605,-1,918889,-1,-1,-1,-1,384399,-1,-1,-1,792349,-1,457883,96072,-1,-1,-1,-1,935274,21472,-1,-1,11615,553340,731512,-1,521342,-1,161182,-1,804457,84804,-1,562891,982740,161247,-1,815645,-1,-1,-1,-1,149956,81454,654392,-1,679703,-1,-1,932255,-1,-1,-1,4440,420781,147577,221625,-1,-1,554464,-1,-1,-1,781171,929011,-1,389346,868185,747148,435458,-1,-1,196201,-1,-1,92451,-1,-1,737584,-1,992005,672867,124777,639333,766931,306975,363848,705937,576557,409401,-1,-1,58877,444103,-1,-1,625122,-1,-1,47169,-1,498719,-1,432348,15912,-1,-1,-1,458757,-1,-1,-1,-1,873121,535022,854506,-1,-1,-1,-1,826930,-1,994125,77892,-1,-1,-1,159494,467946,930492,-1,686629,-1,-1,-1,-1,6510,300428,245629,638468,827841,689447,-1,838586,239714,819979,-1,361317,-1,503814,-1,418822,-1,942676,-1,-1,-1,951063,498492,-1,792080,524034,-1,-1,211193,-1,-1,255993,-1,-1,978802,421981,-1,677864,-1,-1,115176,-1,517952,-1,-1,-1,387573,516837,-1,-1,653223,-1,-1,684019,-1,-1,540708,-1,-1,695827,-1,113587,-1,503866,-1,-1,443349,-1,-1,-1,-1,582107,-1,652838,510376,349944,-1,-1,-1,234261,-1,291983,214422,28071,100644,-1,415233,780178,-1,984815,681311,559360,653689,242982,323007,-1,-1,381086,826789,836168,390545,20156,-1,62204,789301,808831,883461,11384,422593,282057,42337,195178,624216,1878,-1,384434,890164,-1,-1,-1,-1,475403,-1,-1,-1,369053,127027,100854,298473,176877,-1,-1,-1,517108,-1,-1,210817,676780,760950,-1,220434,-1,56241,539497,-1,-1,761671,-1,977714,-1,-1,628439,904919,236453,-1,-1,649901,-1,754329,275151,570591,790677,-1,-1,180755,834749,942245,-1,962101,765080,-1,-1,-1,218778,73965,220307,-1,986473,852922,-1,-1,669754,-1,-1,465441,593706,447918,-1,-1,-1,-1,58031,281941,-1,-1,-1,598775,352386,-1,-1,-1,98214,218870,-1,-1,-1,265218,37555,-1,935140,778112,902447,565422,25693,153444,490756,-1,-1,618607,611407,351992,-1,898945,72362,-1,-1,913853,854020,-1,-1,74658,-1,714394,-1,922864,15859,634997,-1,834828,-1,-1,398410,952691,-1,671307,-1,-1,-1,-1,492059,109956,881589,359838,33932,568229,801284,-1,-1,804008,922443,-1,-1,841231,-1,740701,-1,734607,131372,-1,-1,122973,88818,280167,804460,-1,101862,710973,89545,-1,-1,-1,585699,2207,722931,-1,605434,336914,-1,437543,-1,-1,-1,-1,486024,-1,945722,237204,-1,281305,-1,-1,683449,-1,-1,-1,750451,-1,-1,311038,720573,863707,631927,-1,277843,-1,198124,155542,-1,794417,-1,46793,79124,-1,539973,-1,-1,336236,831444,696969,862144,-1,-1,-1,596142,604696,-1,165163,-1,-1,902945,576983,438461,710725,-1,228413,212997,177167,-1,962729,-1,-1,79996,578486,-1,-1,-1,356988,-1,-1,-1,737343,478848,-1,700138,-1,668254,93702,815420,960204,-1,771468,330911,961860,416367,-1,-1,915006,254074,8623,86622,-1,-1,-1,538128,266093,545275,-1,-1,309737,-1,-1,-1,819626,-1,-1,637851,-1,301503,-1,48708,941849,-1,938101,695003,742740,-1,-1,-1,-1,193867,26675,-1,315982,715702,365781,-1,-1,-1,578701,531835,-1,-1,893980,-1,211264,913187,829629,-1,786937,-1,-1,820312,-1,414348,-1,-1,-1,826696,-1,-1,9908,624555,-1,-1,267484,265869,521911,-1,759956,720505,223898,681223,-1,-1,-1,-1,-1,-1,-1,-1,914600,755928,82850,-1,-1,767015,-1,-1,457788,-1,-1,55029,-1,451510,981514,-1,-1,-1,-1,455531,-1,359553,225409,832485,-1,-1,422587,685810,-1,391422,272618,-1,615751,-1,-1,-1,217504,577048,523097,-1,898384,-1,-1,95369,875166,683341,-1,-1,-1,722505,-1,281246,283813,-1,402822,926927,943181,-1,495281,751996,-1,333141,681890,-1,-1,-1,691548,713496,883513,528132,-1,-1,-1,204363,291236,461080,-1,-1,300197,591942,-1,-1,-1,190553,-1,617248,296147,846228,-1,-1,990013,395828,-1,-1,128886,-1,48939,309863,358581,699392,-1,76702,105310,-1,914329,-1,505967,-1,291700,-1,610987,-1,581329,75976,757767,-1,-1,-1,-1,-1,-1,473943,-1,-1,-1,-1,247232,918977,-1,-1,-1,294996,-1,-1,-1,890802,86746,-1,288145,252629,673045,524687,-1,976400,711773,536766,-1,362421,941861,803967,-1,710096,587430,-1,-1,-1,235996,288534,943040,-1,-1,178437,263004,591176,756213,531867,-1,46052,311694,307536,608819,-1,514709,-1,-1,132551,793707,-1,-1,725494,655711,100306,-1,772595,-1,178820,7188,868816,638354,418335,-1,-1,423842,35035,-1,27536,-1,-1,-1,-1,-1,895664,322925,217424,322052,848242,-1,-1,-1,-1,-1,331587,727525,421830,-1,705722,44247,-1,378762,-1,-1,566660,-1,-1,369286,459799,-1,-1,277977,830466,-1,112837,-1,999393,526082,-1,-1,-1,-1,916184,218198,-1,-1,-1,-1,-1,989644,-1,-1,-1,75966,574194,-1,28517,656862,753160,38646,458851,-1,-1,-1,856819,-1,-1,705162,-1,-1,-1,419224,-1,894964,-1,159545,-1,180633,306222,291540,812318,909113,-1,960988,960687,-1,354896,586166,226341,434682,396464,631401,-1,-1,458281,-1,-1,199604,-1,958123,793009,471564,-1,-1,877422,-1,177040,-1,207263,-1,186971,172858,779770,303204,-1,-1,115378,-1,361613,-1,449570,919729,149194,828131,-1,33268,-1,-1,249109,91452,-1,-1,673866,870307,112153,-1,-1,-1,282124,362186,466614,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,657771,-1,939475,-1,-1,514900,501302,-1,804456,-1,-1,709507,97627,686497,-1,-1,61950,367855,388315,-1,533912,-1,-1,711281,122178,-1,999975,95419,466354,-1,-1,-1,562861,346456,6481,962528,393346,-1,-1,999902,-1,877284,405903,134388,231385,-1,378407,391565,751381,-1,982988,30773,-1,-1,-1,-1,65734,762004,-1,468283,305064,413420,-1,296509,78580,-1,-1,655354,266635,530088,-1,732859,949732,-1,554589,-1,-1,260103,870980,-1,469564,-1,-1,996058,-1,-1,238114,143226,74105,-1,-1,-1,940680,287861,-1,-1,-1,-1,-1,-1,-1,-1,-1,772724,-1,520676,198430,445639,-1,-1,-1,-1,-1,995336,-1,783640,34181,182103,835563,-1,-1,-1,-1,860245,-1,-1,460360,-1,-1,-1,660526,-1,-1,266349,158774,-1,-1,187195,-1,673488,-1,59014,-1,807055,584261,369858,389494,-1,924524,-1,-1,-1,-1,-1,218445,767980,111143,180852,468419,-1,-1,157178,921062,-1,-1,740576,285170,-1,699568,97459,-1,-1,785100,-1,-1,-1,-1,126690,-1,809789,17861,-1,517427,-1,823583,-1,500147,988173,570289,-1,-1,956744,490164,-1,843775,-1,-1,194261,-1,-1,229483,941675,-1,68137,166339,-1,-1,50465,-1,-1,793603,-1,-1,-1,489983,557911,-1,391561,513953,980032,907925,-1,246663,603605,-1,319739,-1,346412,-1,-1,-1,630764,638188,700169,-1,64642,842296,962712,603919,255010,331430,-1,775860,122119,-1,-1,298343,768788,437197,816680,652184,-1,-1,663551,36746,-1,534274,-1,9667,497232,597731,-1,218563,-1,-1,41531,587668,-1,-1,-1,-1,976083,877331,527408,-1,-1,-1,-1,-1,219530,-1,164580,555813,-1,210565,-1,-1,86452,338260,287650,362705,-1,250050,16687,611809,239886,-1,732697,272187,207923,30421,718024,-1,-1,697984,-1,-1,924019,-1,262971,546724,-1,-1,579821,297172,248022,562162,-1,650098,-1,108414,-1,390102,539739,732510,882181,-1,187293,976495,-1,16962,236702,-1,9464,-1,-1,885560,353087,128290,90880,786692,-1,-1,811218,598163,252566,602606,-1,-1,21057,308691,-1,-1,-1,-1,415263,-1,133030,833817,240183,-1,-1,989271,995312,-1,358164,953346,-1,-1,482289,942923,-1,832296,54980,793299,-1,-1,647389,-1,231945,229149,366714,707580,-1,272342,-1,827069,-1,-1,-1,-1,609190,308903,-1,952863,330881,-1,-1,581262,652543,-1,565164,-1,-1,-1,-1,660999,24557,-1,137208,-1,-1,688483,690609,-1,-1,611868,304901,731276,-1,-1,-1,525170,43339,-1,780345,-1,-1,834980,635134,39816,-1,-1,-1,-1,-1,-1,916271,-1,35599,-1,250788,-1,-1,956550,-1,126386,-1,528450,656683,-1,-1,-1,-1,-1,795357,-1,673397,-1,701307,-1,-1,728983,123055,-1,102434,-1,201656,-1,817720,-1,-1,-1,-1,276164,751890,-1,561974,-1,963640,408694,801132,910538,-1,-1,86760,444952,-1,-1,-1,488667,-1,-1,-1,-1,720706,674473,-1,630836,-1,507596,-1,-1,-1,606062,-1,223138,-1,-1,-1,-1,-1,-1,266626,393289,565972,-1,578509,221287,980915,-1,947738,-1,339878,182549,-1,-1,-1,-1,-1,229050,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,983271,-1,852026,432860,-1,276562,993471,-1,-1,33236,870711,609493,243740,-1,-1,-1,-1,258391,607913,980840,22623,-1,198574,-1,-1,-1,893554,-1,-1,791380,-1,-1,-1,445039,-1,88053,366621,78981,524741,853050,104727,-1,715724,-1,-1,406902,865795,-1,-1,-1,67644,-1,970539,930138,-1,-1,-1,52222,696458,518785,827157,-1,713314,-1,-1,-1,308342,-1,965576,542549,764489,-1,-1,691312,145609,-1,-1,514430,358090,568544,965350,52202,-1,-1,431892,-1,-1,-1,-1,-1,18280,-1,18588,587271,-1,-1,642578,-1,914572,-1,965506,896178,-1,82952,-1,-1,-1,50328,940081,-1,-1,-1,373345,268369,-1,153907,-1,-1,-1,971363,826631,-1,451326,569631,-1,232321,296407,-1,-1,-1,-1,599420,849843,-1,695720,-1,-1,866053,-1,409943,-1,947761,79640,734323,-1,-1,-1,5824,825257,230381,685722,333111,881731,877031,790912,922401,-1,-1,-1,266480,341148,-1,-1,399722,-1,-1,568932,-1,783508,759164,989292,436387,-1,876051,-1,989342,31635,-1,38107,-1,-1,429220,906071,231502,-1,-1,-1,-1,-1,-1,344266,-1,668122,-1,597636,-1,405869,4564,-1,-1,69322,-1,986778,194553,-1,-1,-1,434689,285629,152413,-1,266766,-1,-1,-1,-1,612745,938094,-1,557313,127925,-1,206605,771778,864290,717025,-1,-1,-1,226031,64110,-1,-1,-1,-1,-1,57120,-1,851612,-1,796807,651810,-1,-1,31738,163584,185943,-1,-1,334094,521848,-1,-1,586498,162441,798795,893025,-1,388260,819609,-1,-1,131581,-1,-1,232163,-1,135802,410569,898592,-1,376126,-1,-1,-1,-1,-1,-1,340271,-1,982381,-1,900245,485783,-1,261106,-1,519522,859275,657922,509533,82152,-1,-1,407479,-1,-1,472206,239776,843337,760167,-1,-1,-1,212299,72246,-1,794359,257978,-1,-1,-1,-1,353477,-1,658237,60329,-1,721239,414946,-1,-1,275623,-1,-1,-1,828262,-1,631103,655133,-1,997786,249644,907967,278347,-1,-1,347987,-1,-1,133082,176708,-1,536014,-1,-1,-1,-1,-1,-1,334657,234162,-1,-1,-1,547694,685426,32039,668855,813798,-1,281457,435158,-1,-1,728133,653243,-1,928464,-1,742508,-1,570226,180954,-1,-1,-1,-1,248819,418853,408701,9939,2642,491675,-1,-1,583343,512411,-1,622463,-1,-1,671115,-1,69318,-1,768460,62770,-1,28682,-1,983060,898847,677302,-1,58256,-1,-1,343705,-1,-1,137352,-1,-1,-1,-1,210293,83659,-1,-1,492070,505343,657815,-1,442602,-1,614235,-1,-1,-1,691897,-1,941720,-1,921926,356648,-1,679254,-1,869182,-1,-1,-1,793895,619714,326560,-1,930185,-1,-1,-1,-1,-1,655376,348482,5943,-1,-1,240493,214647,-1,-1,351878,846513,721313,-1,-1,-1,-1,417101,-1,-1,979099,34609,673903,211120,115971,-1,841935,331075,-1,179121,354391,-1,438758,421537,900998,644495,-1,937120,-1,-1,148099,522709,-1,365635,-1,-1,877366,244426,937906,-1,-1,970511,365775,-1,626432,-1,694835,91689,437154,486410,-1,-1,887924,531240,-1,-1,882386,-1,707648,-1,884407,-1,-1,-1,-1,992849,-1,-1,-1,797290,-1,48602,-1,-1,-1,-1,-1,-1,41306,55847,-1,-1,-1,-1,-1,-1,-1,369360,256386,251735,-1,692192,-1,-1,-1,498588,-1,281980,-1,961010,965774,553411,803792,-1,160163,212542,99865,128595,62941,-1,-1,-1,91598,-1,-1,475838,-1,-1,-1,-1,-1,-1,-1,648255,454402,-1,-1,733460,836707,-1,-1,248029,-1,-1,-1,-1,248698,-1,-1,-1,-1,-1,-1,-1,-1,721415,-1,52448,296605,-1,-1,-1,-1,-1,-1,-1,601187,948745,-1,696190,-1,271888,304889,-1,-1,-1,651608,572493,-1,3704,-1,287786,-1,-1,-1,709698,-1,-1,397733,-1,237747,-1,-1,306776,-1,208415,-1,-1,-1,856394,-1,-1,815624,835211,-1,474015,160273,682587,791253,79025,445666,-1,-1,716161,220023,-1,175775,-1,-1,-1,460386,-1,-1,109596,-1,-1,341364,-1,447847,93718,317500,-1,507386,822751,311384,986687,-1,772025,245665,-1,-1,-1,-1,-1,-1,-1,-1,-1,801768,8058,183551,-1,435850,-1,-1,-1,497321,-1,111349,-1,-1,-1,682090,885294,961452,-1,171292,167987,206870,-1,711203,-1,-1,-1,406330,-1,469500,999749,-1,-1,-1,240515,368865,-1,-1,657063,-1,76163,-1,-1,-1,453081,47400,887200,158442,-1,928167,-1,910124,-1,865087,26790,525794,-1,-1,662898,-1,-1,763193,-1,-1,-1,521257,-1,740850,-1,788595,35374,791423,-1,855662,907909,-1,-1,181823,-1,-1,-1,-1,558497,-1,-1,318238,-1,308289,16534,275087,808677,760344,-1,44922,-1,261308,864202,383383,-1,-1,258110,599599,268287,-1,525047,44326,735113,572130,-1,956516,-1,63758,-1,-1,-1,10080,147743,-1,573633,852589,891066,541268,-1,-1,-1,-1,-1,-1,-1,-1,-1,229579,-1,241524,-1,-1,843449,-1,271920,-1,-1,224076,78780,-1,781860,991346,-1,530747,-1,254028,593911,121657,275981,-1,-1,-1,32493,714960,463518,792202,-1,38090,-1,295413,552960,-1,-1,468101,398612,253383,-1,893266,-1,808595,-1,-1,812663,978172,717336,-1,465296,449041,417196,-1,417513,844635,-1,-1,340031,-1,-1,318247,135355,208346,644121,54139,69036,894567,63419,-1,-1,804929,812311,816881,-1,-1,241148,982760,-1,595705,-1,580374,986531,-1,60472,-1,-1,-1,-1,444446,-1,330764,279854,-1,528529,254914,478345,791538,-1,-1,-1,746080,378543,96744,776128,207889,131378,409636,887886,639601,-1,33395,-1,280612,585494,-1,-1,-1,186274,210531,-1,-1,168956,404273,294410,-1,172213,119982,-1,-1,625235,-1,29206,-1,409179,-1,-1,-1,851944,-1,-1,272027,-1,-1,521023,-1,-1,371093,391904,647632,982311,363645,-1,988449,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,181233,-1,-1,152399,-1,231628,-1,-1,-1,-1,-1,794521,73220,-1,-1,102500,701130,-1,-1,622291,12904,817148,-1,-1,779746,542150,-1,826026,571515,-1,847873,431774,-1,160747,-1,106044,-1,-1,-1,942053,679071,-1,59556,-1,-1,262997,-1,-1,-1,-1,-1,126715,-1,-1,90528,-1,-1,-1,501484,882204,-1,-1,-1,148717,-1,684117,-1,693850,880822,-1,-1,857924,-1,-1,-1,-1,767542,-1,-1,564149,628798,146258,-1,-1,-1,-1,-1,-1,80247,249301,-1,-1,-1,263586,-1,-1,-1,637749,944954,-1,881282,-1,515540,416108,-1,441352,-1,19913,624085,619073,277376,298425,451158,-1,-1,-1,127235,275576,-1,659065,791195,-1,-1,516680,-1,-1,606087,922874,732173,646482,-1,-1,566764,-1,841215,238862,-1,557326,654719,913575,-1,352267,-1,-1,811150,-1,618114,207318,117949,587241,215373,-1,568476,896404,-1,130234,-1,796602,834983,519979,-1,478351,654698,652507,407665,-1,823549,232858,-1,212949,-1,-1,-1,-1,958975,370420,-1,333732,-1,-1,468515,285176,-1,-1,-1,-1,-1,-1,-1,475174,-1,30269,62454,336445,760853,-1,-1,-1,484906,-1,-1,-1,736600,-1,-1,-1,-1,-1,827008,908920,-1,-1,912973,-1,275241,408859,-1,737376,907251,-1,-1,890387,317527,53706,19522,-1,-1,-1,-1,876430,-1,-1,307367,-1,-1,882091,469784,284453,781675,259194,-1,-1,401485,731138,-1,-1,792911,519112,614881,134453,384503,685381,-1,-1,-1,-1,-1,853629,-1,102541,-1,770734,-1,-1,-1,743521,237499,278315,-1,-1,666216,-1,-1,554378,-1,104431,488438,-1,729357,-1,7419,92063,493267,-1,-1,118064,-1,394776,161476,-1,-1,-1,525245,61263,896421,735326,562515,242099,-1,-1,279590,381129,-1,-1,-1,-1,-1,-1,700735,934609,-1,319013,415642,733943,162662,49960,39371,-1,-1,-1,-1,793629,-1,110819,-1,432797,-1,-1,-1,752347,733252,898809,-1,537038,154939,748568,429155,969468,-1,664195,-1,-1,-1,624531,-1,-1,662513,228069,-1,361154,-1,564342,-1,-1,-1,-1,-1,-1,164487,854482,214435,-1,-1,33976,253417,-1,-1,715507,934476,666895,-1,-1,-1,758769,753816,-1,286892,-1,561826,411409,-1,-1,795974,-1,836006,-1,-1,-1,614649,380263,484364,-1,-1,814689,-1,935942,791366,604870,918698,-1,438445,-1,-1,707166,-1,492285,-1,-1,-1,-1,59817,6941,924961,-1,-1,-1,294368,124147,798568,-1,-1,-1,705507,681756,316617,-1,-1,858002,-1,693147,-1,226785,-1,213945,-1,-1,731498,-1,-1,-1,-1,687527,541328,125349,-1,484217,998810,-1,458381,-1,-1,-1,310318,308097,862732,-1,704611,756957,-1,-1,-1,253422,-1,39167,-1,-1,-1,-1,518620,-1,447457,-1,25820,184750,516729,939981,-1,-1,-1,-1,370422,-1,94496,488586,60772,-1,381943,716308,204735,529548,293350,692670,815844,179520,-1,255273,-1,-1,-1,-1,-1,-1,-1,464703,-1,350211,-1,-1,-1,251128,345308,-1,-1,649669,999249,-1,-1,-1,-1,525024,585511,-1,-1,613667,101438,285198,844792,350445,-1,451285,-1,538155,256311,-1,733352,-1,-1,211945,97582,-1,-1,-1,-1,608478,-1,-1,823394,501377,397779,269818,-1,-1,618011,-1,633807,-1,918973,-1,-1,67057,838213,-1,-1,403468,-1,-1,519841,536995,681736,-1,-1,444273,918230,-1,-1,811122,-1,893696,-1,-1,-1,-1,-1,-1,190451,983110,606065,333063,621486,-1,-1,-1,-1,-1,787505,-1,408730,146134,418279,-1,27686,-1,-1,20104,-1,-1,333347,310117,-1,-1,955944,-1,905764,45378,249900,680320,-1,841263,593506,941544,734496,-1,-1,-1,469278,-1,32949,-1,-1,-1,-1,-1,-1,-1,716871,877899,382017,-1,991814,680513,-1,-1,874304,-1,-1,457207,577655,191336,-1,-1,585731,-1,950470,-1,207657,126668,139367,510710,58510,-1,901865,-1,623714,-1,744012,-1,-1,-1,-1,528386,-1,886040,-1,-1,-1,-1,-1,-1,-1,-1,495135,207345,-1,-1,9432,-1,-1,858341,-1,26593,775338,-1,-1,720170,-1,-1,758333,215468,-1,587896,-1,515057,-1,-1,591074,-1,554630,650452,726470,436720,743446,855344,-1,180759,-1,-1,-1,-1,456264,101077,-1,7813,201353,-1,224283,-1,45774,-1,-1,-1,-1,251482,-1,791995,-1,-1,919266,-1,649556,894777,-1,-1,850912,790743,-1,767465,-1,-1,-1,70753,-1,411155,689076,-1,-1,-1,-1,225888,798028,-1,723007,313287,512070,556727,107552,-1,706585,955291,-1,434839,168324,787585,317143,97628,361218,481502,863074,605273,504859,-1,547833,226237,-1,-1,17414,129067,-1,-1,-1,821901,425487,-1,962293,-1,-1,973296,937557,-1,-1,984591,-1,-1,95956,-1,831336,708560,829510,144979,186335,-1,182776,790997,-1,905344,884707,-1,883500,602658,932454,354163,75005,83730,-1,-1,-1,596685,86845,787375,-1,-1,-1,-1,-1,101310,-1,-1,307399,382090,123465,-1,-1,832993,123558,820546,94708,428069,-1,-1,-1,844450,-1,-1,330470,-1,734476,-1,937995,567598,774577,-1,305460,989555,167314,-1,550906,-1,193763,809465,-1,-1,-1,51954,-1,364242,489335,97973,-1,660736,-1,-1,985476,-1,448960,-1,154419,-1,-1,51151,-1,-1,982287,-1,-1,-1,923977,4789,944214,-1,433285,427435,998236,-1,72637,266878,815816,481085,-1,-1,550976,730878,613633,-1,-1,-1,95174,-1,-1,-1,857131,-1,-1,992984,192022,318187,-1,-1,761357,894681,-1,-1,401823,532027,-1,96899,160732,-1,-1,475213,-1,494100,203554,-1,-1,-1,581890,760876,-1,-1,-1,-1,474684,523365,765659,904288,479026,-1,-1,315420,-1,-1,464005,-1,-1,537008,233324,-1,448265,-1,-1,298742,-1,140339,-1,52052,398386,-1,-1,-1,761654,-1,389913,-1,-1,590184,-1,281992,161600,-1,-1,645278,248404,-1,41575,-1,720284,-1,818427,411100,-1,582234,-1,-1,-1,248563,-1,447733,-1,111975,510545,627814,392534,-1,535273,376670,673850,-1,503195,-1,404105,406997,101158,-1,-1,915130,132522,-1,-1,765319,941844,847239,340218,548392,-1,-1,-1,436468,-1,-1,-1,547683,129557,604777,-1,-1,-1,-1,421789,-1,-1,-1,-1,359769,625655,453306,441652,-1,-1,826059,851873,685445,788802,747428,-1,166013,529212,964625,942490,-1,-1,-1,-1,-1,586283,-1,-1,273114,522208,297235,300679,-1,369908,-1,-1,-1,357703,944469,343424,-1,-1,-1,608821,347592,312450,-1,30686,471696,297703,-1,-1,906531,936997,295630,-1,-1,483342,619551,-1,462256,107553,830692,576297,-1,421361,519594,-1,-1,-1,139922,440006,-1,-1,-1,-1,-1,-1,134560,618841,-1,938932,-1,328589,-1,291835,601053,-1,802163,-1,-1,-1,236938,666859,-1,723705,549525,757403,813058,262848,-1,497131,973061,220985,-1,837395,241375,749040,-1,607248,818706,513121,4972,-1,-1,898048,850068,-1,-1,677566,840371,-1,453041,-1,152652,-1,623285,211346,-1,201557,-1,673843,138419,-1,-1,-1,-1,346716,410382,217854,-1,190293,225119,876788,884859,-1,-1,-1,700619,-1,894814,-1,-1,-1,130861,185988,-1,625420,-1,-1,-1,-1,797457,867117,-1,-1,351089,-1,178623,788115,773772,579177,105176,830009,-1,930956,-1,257059,-1,-1,38115,-1,-1,-1,-1,-1,-1,289686,-1,395098,-1,546834,882223,-1,-1,-1,-1,-1,503311,-1,866451,-1,194845,-1,-1,-1,735149,853419,290279,-1,-1,-1,865720,-1,848717,-1,-1,-1,587917,323707,-1,614237,-1,-1,598786,274499,-1,-1,577180,693244,202234,-1,-1,-1,991675,-1,85125,-1,-1,269101,-1,779133,-1,131243,-1,-1,380243,-1,-1,-1,535586,11042,-1,965248,-1,-1,-1,-1,651132,-1,-1,-1,341012,-1,402366,-1,376915,-1,900128,-1,871969,966221,557591,953556,-1,-1,-1,821006,268774,-1,603065,-1,463180,-1,762421,647390,97970,778434,-1,-1,608293,135544,-1,783263,-1,-1,-1,-1,-1,372918,-1,-1,-1,173520,214909,-1,-1,601508,-1,177177,-1,-1,-1,-1,176809,409528,-1,118221,974238,-1,-1,-1,747158,-1,297600,254701,9305,-1,-1,318601,925582,959638,943288,125379,210138,-1,432802,-1,-1,881066,323816,958526,652024,991215,-1,32555,365875,436755,-1,-1,-1,43250,-1,969088,449928,-1,115602,-1,-1,-1,450447,810501,-1,78550,731243,-1,-1,-1,935065,523884,-1,-1,-1,-1,-1,655411,331427,503708,-1,513861,-1,-1,-1,-1,503511,-1,800557,781226,-1,-1,217624,944715,949057,536292,32852,-1,258186,-1,-1,-1,79840,90853,83235,622706,408933,-1,-1,-1,399945,-1,-1,611517,-1,-1,-1,-1,401523,458260,-1,-1,-1,964105,423198,978806,-1,649003,556607,684617,420173,-1,173871,729839,967183,469681,-1,383690,422065,930488,776220,-1,959742,856771,-1,-1,-1,-1,163392,-1,417697,394263,-1,-1,455213,664173,-1,-1,591373,-1,-1,-1,-1,943065,530361,932075,-1,-1,-1,-1,504998,221260,-1,-1,247560,133035,-1,674749,259033,288504,746872,626861,16713,348101,263027,-1,120622,-1,89046,414668,833904,-1,754931,-1,820213,-1,-1,-1,-1,625355,-1,-1,-1,-1,308496,-1,-1,733158,572368,-1,85302,36762,368125,966376,666306,-1,191019,-1,716574,-1,685737,81821,-1,-1,-1,911080,-1,642348,434389,482523,-1,-1,-1,-1,511897,-1,-1,629038,-1,-1,-1,-1,932513,-1,-1,-1,451331,480851,-1,-1,825111,114762,631788,98706,198923,143452,-1,569447,-1,625280,571062,-1,-1,-1,-1,-1,369998,167764,791952,937679,-1,432240,-1,571958,629698,664428,-1,-1,206442,594087,776536,80633,99212,715669,397267,-1,613038,-1,712483,797507,-1,950236,154253,-1,-1,-1,318860,447448,-1,-1,-1,277941,-1,-1,516758,487159,282186,-1,565854,656701,-1,-1,-1,6134,97649,-1,666422,431780,-1,543126,369653,-1,218904,187213,448097,611891,405617,406787,-1,969050,-1,465415,-1,251127,199352,104768,-1,41208,-1,-1,575466,478773,864262,-1,-1,-1,-1,-1,238385,-1,-1,2041,-1,687345,440491,-1,-1,-1,656555,-1,431958,-1,849831,-1,-1,-1,805712,-1,130010,-1,74589,652039,-1,-1,-1,848781,498982,493578,-1,-1,182399,986568,843313,290658,238454,39104,851029,367124,534979,-1,-1,-1,179049,227929,-1,-1,-1,-1,-1,-1,-1,649298,959613,-1,104167,415945,764121,-1,100518,-1,-1,-1,274906,-1,-1,-1,879674,247516,900587,-1,-1,257413,158710,24156,973442,-1,-1,-1,-1,294401,819569,288582,548073,-1,445995,-1,747365,-1,776825,-1,348356,-1,-1,-1,-1,454161,180043,-1,-1,83416,324039,-1,66037,-1,830835,816393,-1,658883,213564,830312,827734,-1,-1,391289,997227,638874,426343,863575,-1,-1,565614,-1,-1,468373,42091,-1,-1,932878,617519,568093,-1,554812,220105,-1,-1,867260,-1,800473,31194,443793,167763,291595,-1,930760,915219,-1,753347,649804,308814,-1,-1,-1,817733,961119,388195,-1,-1,885459,612331,702514,578706,739705,-1,112456,255004,603012,675784,-1,970140,-1,64594,-1,265190,915764,140173,-1,-1,618144,-1,12277,886079,221084,864757,-1,733492,-1,-1,-1,441197,573317,-1,101421,100098,-1,-1,-1,741465,242742,-1,-1,706104,99309,211540,741508,-1,353789,-1,-1,371468,569749,922451,121365,-1,13561,11363,-1,987141,649502,-1,401934,-1,-1,-1,-1,718852,463176,982842,584217,640498,-1,-1,-1,-1,229575,71981,-1,-1,721513,-1,550753,476062,252509,568444,45196,-1,671956,-1,-1,659040,-1,54453,-1,874387,237423,710615,726458,-1,-1,900909,-1,-1,983305,718341,863285,938190,-1,387791,579572,-1,-1,752549,-1,-1,-1,433345,-1,-1,-1,-1,433473,-1,-1,-1,114958,-1,797197,-1,934991,-1,96133,211296,-1,656564,672656,779608,-1,164313,498188,680666,-1,-1,328538,489184,407579,-1,966222,-1,591177,-1,-1,-1,251415,-1,-1,26223,-1,-1,429519,-1,-1,-1,-1,271055,-1,-1,-1,62752,-1,113124,268420,434541,296155,-1,-1,694988,993963,838472,279920,226464,-1,-1,591650,-1,-1,229393,-1,502413,952331,642315,594477,620238,49603,967256,-1,-1,837350,394353,615100,-1,-1,717491,-1,918276,-1,-1,305459,-1,-1,-1,-1,-1,614973,163515,-1,-1,60494,118081,967485,-1,51817,146418,211032,-1,-1,-1,-1,-1,642489,236876,379759,33950,-1,-1,884022,928779,-1,-1,271060,-1,498104,937496,-1,-1,-1,626857,725341,-1,-1,92354,44750,81890,-1,294200,498655,-1,-1,-1,444154,352247,-1,-1,-1,940953,-1,-1,-1,-1,-1,-1,605110,-1,950722,936484,-1,-1,-1,-1,-1,729238,-1,-1,-1,497130,-1,-1,-1,540827,-1,596166,-1,-1,764993,378408,797684,492799,899766,-1,473165,-1,-1,800279,657051,690405,68645,799961,-1,-1,-1,139432,-1,-1,594581,-1,800157,-1,390456,242951,639779,645155,917891,-1,-1,348520,-1,131796,483343,8834,672464,-1,575682,-1,-1,478742,-1,-1,578993,-1,-1,324987,-1,-1,-1,-1,-1,123344,462674,-1,65943,93256,754996,-1,-1,-1,191281,-1,563088,562991,407992,-1,913017,-1,-1,90228,-1,867594,364509,-1,944868,-1,304159,-1,-1,236440,-1,-1,12817,124451,396060,849936,-1,392307,486926,393496,-1,462473,27705,528671,789244,-1,-1,456081,498301,-1,-1,-1,533637,143472,-1,-1,-1,620996,718625,-1,-1,-1,875419,736597,-1,-1,85050,-1,-1,-1,-1,-1,-1,714215,-1,-1,-1,380017,-1,129182,201245,262387,437157,-1,730078,915464,-1,-1,-1,-1,-1,-1,-1,-1,-1,430533,733618,-1,-1,283974,-1,-1,-1,-1,-1,362975,-1,893985,404324,-1,-1,658901,342016,-1,-1,513276,-1,-1,-1,307016,-1,162613,974748,815199,743017,-1,-1,468912,-1,45403,-1,-1,48912,-1,-1,-1,655052,607792,-1,283020,-1,92379,454862,919095,-1,-1,-1,-1,-1,-1,-1,979564,611830,-1,276926,-1,129032,817151,895605,-1,936239,-1,-1,-1,-1,247004,-1,-1,-1,199374,960784,62459,-1,-1,-1,-1,-1,841278,762204,790536,27771,648622,-1,-1,-1,-1,-1,460773,870155,674637,-1,274687,806738,257430,980380,-1,-1,-1,-1,-1,-1,458520,566126,331779,-1,659578,799987,-1,666079,-1,732563,-1,-1,-1,-1,-1,39578,422764,452637,969570,-1,-1,956360,-1,461892,933068,488019,439354,159433,174751,-1,-1,54648,-1,355788,38909,-1,-1,573555,-1,409696,-1,352185,223828,-1,645848,892203,213845,83952,60001,641836,986787,-1,940093,-1,196915,833326,449025,-1,821234,-1,524547,236279,-1,-1,-1,6587,-1,-1,90723,-1,101937,680937,829623,251243,306189,796048,-1,-1,573992,-1,-1,-1,706686,750814,61404,-1,-1,-1,870184,252028,-1,-1,-1,-1,898498,-1,702655,-1,632392,206267,452580,359702,449832,-1,223266,159984,467638,422558,937157,-1,-1,-1,-1,-1,874291,628870,-1,605320,-1,370968,31717,50934,702163,-1,126560,463159,289856,631447,795027,-1,-1,656628,-1,826989,-1,807232,-1,-1,3177,-1,117335,831048,854929,-1,-1,455851,-1,-1,387732,-1,543570,-1,83633,-1,349351,-1,-1,418362,749069,204653,503454,-1,-1,-1,209712,-1,790357,287709,-1,54233,-1,-1,693844,412987,-1,-1,830664,-1,-1,-1,417227,177057,345787,-1,765339,-1,-1,674567,-1,985395,-1,-1,130533,-1,-1,-1,620385,-1,-1,-1,672626,829982,53802,277739,911087,465543,-1,517993,-1,327434,-1,681772,347031,764158,-1,-1,-1,-1,-1,586544,-1,-1,-1,427314,-1,-1,-1,-1,500579,-1,384063,331435,749145,-1,915116,888065,392803,-1,151905,725674,442619,-1,-1,-1,937247,-1,-1,390871,-1,-1,355842,828218,857230,-1,-1,-1,145956,568301,-1,901716,-1,244075,-1,-1,396672,628012,527145,302241,277846,108825,-1,-1,-1,-1,-1,-1,-1,-1,635895,90230,456832,20702,-1,-1,-1,940451,979539,274628,385927,-1,822443,-1,891581,561425,-1,238188,-1,96808,861332,494367,-1,-1,945972,-1,-1,-1,177402,481607,-1,-1,-1,-1,-1,-1,61210,-1,-1,-1,-1,604861,638286,384232,-1,-1,-1,170549,665250,623439,-1,240951,976093,-1,673500,274059,-1,-1,497905,-1,747232,668520,641387,626766,604299,-1,-1,65211,-1,-1,664036,658275,206746,344041,-1,478716,105829,913395,171669,-1,-1,120229,375159,-1,954334,202482,106566,227656,473420,788406,-1,-1,95881,-1,235227,-1,688316,123870,980533,832941,428029,-1,-1,-1,-1,608132,-1,544710,-1,-1,931479,416954,-1,-1,537722,-1,25200,-1,399366,-1,-1,887421,209641,379843,-1,-1,-1,-1,-1,853814,-1,424636,-1,824775,-1,-1,368283,430025,-1,-1,-1,425329,-1,689473,101479,264025,156028,970104,490249,80037,393089,139792,571819,-1,439197,355330,751706,794759,268374,830431,695089,-1,685099,-1,-1,660269,387409,51441,423818,-1,-1,87796,963166,523170,116370,-1,128537,-1,-1,-1,-1,703598,573058,-1,-1,164307,-1,439659,213994,-1,-1,-1,-1,-1,-1,-1,466807,-1,-1,-1,-1,386634,61869,-1,104141,-1,214154,245381,-1,-1,510571,871586,-1,-1,-1,-1,-1,-1,-1,949523,614221,920059,578741,-1,-1,581895,-1,-1,-1,805041,458630,279706,-1,-1,-1,-1,-1,-1,448760,555530,-1,-1,-1,-1,-1,958861,-1,-1,-1,-1,-1,368011,-1,859375,479387,-1,917601,217593,-1,-1,379279,11313,574860,-1,281350,783502,650219,-1,639710,167808,-1,-1,995849,-1,246118,-1,-1,388136,639068,-1,-1,-1,-1,-1,-1,-1,875281,-1,680286,-1,-1,-1,-1,748576,-1,337007,127859,733744,959058,-1,759173,-1,988969,-1,934703,870423,-1,376590,406302,571466,-1,227788,-1,-1,-1,570552,-1,-1,-1,489883,-1,-1,-1,-1,-1,683943,-1,422743,-1,-1,-1,357144,730163,685913,-1,917724,993191,-1,302630,489747,911027,-1,-1,-1,-1,-1,354304,816651,-1,-1,-1,-1,-1,163296,-1,-1,-1,509165,457925,456915,-1,-1,972517,-1,380484,54272,760010,-1,-1,-1,-1,-1,550785,-1,133006,-1,80472,-1,49834,198055,353820,-1,613369,958939,541908,571388,471545,779138,98394,589728,568416,794653,-1,230021,-1,872748,-1,994239,-1,135967,317723,-1,-1,883254,715473,535442,-1,-1,-1,-1,-1,787397,-1,-1,33594,-1,-1,-1,176415,878911,510766,-1,-1,784236,-1,-1,684618,-1,34562,700388,554940,-1,-1,-1,-1,301616,829737,364616,85193,-1,53646,-1,366495,-1,71232,-1,-1,393675,-1,613240,447902,-1,-1,-1,31783,-1,-1,-1,-1,-1,485666,-1,-1,299937,80127,-1,216364,563827,712265,-1,937910,-1,880400,435585,755326,-1,895571,-1,-1,-1,-1,864039,22245,824198,-1,798450,950776,-1,-1,-1,-1,-1,-1,-1,219094,-1,-1,335641,-1,565289,-1,169585,-1,-1,-1,-1,-1,-1,218981,-1,501214,543128,-1,-1,-1,-1,196557,962434,-1,-1,547075,-1,307531,-1,313655,-1,-1,369751,23518,116209,-1,-1,-1,-1,885430,812881,-1,217768,393980,-1,165431,488771,545485,-1,482717,-1,229594,-1,846487,826154,-1,157515,956840,-1,975209,143628,32167,-1,-1,-1,-1,-1,-1,89909,-1,459573,184975,-1,-1,79164,340069,-1,669427,-1,-1,-1,-1,491203,-1,-1,-1,-1,-1,582077,-1,-1,689192,804972,-1,-1,-1,661271,-1,-1,-1,13722,42294,-1,213102,931160,-1,-1,914165,84206,83054,403947,-1,-1,-1,279132,-1,-1,478331,-1,-1,329807,-1,-1,-1,366512,-1,-1,864676,-1,699209,-1,797551,59465,-1,-1,-1,-1,-1,-1,-1,149042,87815,496195,221235,197304,972302,459158,845281,723707,667005,-1,828887,-1,595799,-1,-1,181044,-1,-1,197194,-1,546057,89642,173000,339920,-1,994972,-1,-1,585746,-1,440354,774469,283779,-1,-1,11583,867636,-1,-1,678209,515499,812459,987266,342420,774517,317932,987344,-1,263551,481324,-1,-1,701269,609208,274789,-1,591094,280147,-1,-1,-1,-1,-1,829011,164726,148519,-1,-1,-1,329111,-1,-1,-1,215874,-1,-1,-1,-1,-1,-1,834794,905825,-1,381235,-1,-1,-1,280355,679204,492549,-1,687698,-1,700972,939224,-1,-1,-1,730003,-1,79219,-1,203048,295022,126853,406567,969115,501782,786085,445356,497124,104626,-1,-1,21637,-1,161405,834153,399965,670078,-1,364990,-1,86305,328636,527737,-1,492466,193428,-1,-1,799560,-1,130932,125406,-1,-1,90204,755688,120366,983279,-1,626922,-1,10265,-1,917688,-1,-1,628071,162136,141759,122961,-1,316945,-1,602224,627689,604289,196515,944183,912037,511160,480392,-1,331496,921111,899925,-1,-1,-1,476352,-1,940907,439733,441910,526634,-1,-1,-1,932003,-1,562255,-1,818716,705989,296634,-1,370756,557628,-1,594840,-1,-1,932886,788755,500779,32052,-1,-1,-1,-1,-1,-1,630356,513240,-1,322815,-1,-1,-1,-1,586616,-1,685480,59603,332208,648436,846080,805542,145826,751413,-1,43169,104940,-1,557004,251905,48169,442073,-1,-1,808005,962657,-1,-1,-1,-1,-1,7185,-1,-1,548070,-1,525068,-1,909351,903450,-1,669875,329391,170229,-1,755143,-1,410293,105103,-1,421304,726961,822826,975932,770167,-1,404980,-1,-1,-1,-1,-1,-1,-1,-1,-1,268849,-1,855223,131802,612402,297236,-1,823246,-1,-1,-1,532110,992887,378292,697580,535676,-1,-1,468454,-1,-1,873447,353238,228169,-1,815383,574489,-1,329469,-1,-1,395149,-1,-1,126174,-1,654401,562323,475153,-1,409900,588614,401492,246429,-1,18065,519248,231258,-1,797515,-1,-1,52608,169366,-1,-1,510271,96157,-1,-1,-1,-1,-1,-1,622576,-1,675231,-1,16601,888404,-1,158298,-1,-1,-1,-1,349916,681822,291281,610584,748615,986663,-1,475459,-1,792949,607127,393282,-1,-1,329692,87520,640462,-1,619079,-1,-1,-1,-1,430235,797574,-1,-1,-1,-1,708693,411004,12577,-1,-1,-1,463952,547332,425938,-1,-1,283474,-1,41825,903421,-1,-1,-1,-1,-1,545571,735196,-1,517514,761662,567117,-1,648227,716963,-1,-1,-1,261763,531215,-1,-1,764168,-1,-1,501775,-1,107060,-1,-1,820270,-1,224316,902748,772076,-1,-1,-1,576057,67500,-1,-1,-1,348448,-1,80835,376470,540519,706952,-1,453460,-1,-1,715950,490301,789521,986370,-1,460625,-1,-1,-1,430882,-1,-1,69555,229520,142286,221900,-1,-1,324171,-1,205881,-1,844100,320751,617629,-1,128769,325005,64283,-1,696365,449460,-1,886337,533050,384299,195563,-1,417271,566175,187652,94569,820466,-1,278713,-1,681429,816343,169554,265562,319793,718558,-1,-1,-1,-1,-1,142458,199870,988392,887317,-1,449901,633576,-1,776512,434557,532527,-1,570034,402476,-1,-1,-1,674125,986931,994395,-1,886110,869445,-1,963371,-1,235683,-1,783632,-1,-1,522499,-1,777801,-1,-1,-1,661127,-1,-1,-1,-1,218258,-1,917122,-1,-1,-1,-1,831369,-1,65998,-1,-1,-1,-1,-1,337364,673639,-1,124124,-1,-1,229770,-1,198240,373989,327864,-1,-1,-1,-1,556414,671530,440050,813140,-1,-1,249684,333051,-1,139855,-1,447947,91046,-1,219405,432286,692704,846042,-1,354165,-1,-1,-1,546819,-1,-1,825462,-1,-1,-1,594643,741128,437333,144433,-1,273919,460394,903832,-1,644764,-1,-1,709274,32619,940837,-1,-1,-1,-1,294588,-1,688940,-1,601427,-1,300339,13946,-1,-1,794347,301563,332793,263299,891788,519360,442119,-1,809696,-1,100903,-1,214728,107265,996911,838656,206786,-1,615754,20424,-1,-1,-1,660136,-1,844203,-1,-1,436398,821612,-1,-1,-1,355390,-1,-1,-1,199869,242204,-1,399669,-1,234148,-1,96081,-1,226308,-1,-1,-1,512601,-1,870735,418696,-1,-1,139547,434914,333301,727057,295034,-1,467504,-1,922852,-1,39910,820028,-1,-1,-1,127702,343562,458040,-1,-1,929246,144482,-1,86527,583512,-1,390883,247302,987448,255870,-1,296194,379258,-1,105290,-1,715657,930836,920446,378087,-1,-1,170878,-1,-1,-1,-1,41957,797253,-1,-1,-1,71688,-1,202014,-1,645988,-1,320972,811117,-1,905246,-1,-1,429315,-1,497818,-1,-1,-1,-1,-1,-1,-1,-1,-1,896880,318433,23498,742670,-1,497596,-1,-1,137157,797878,-1,-1,-1,919624,28076,-1,-1,-1,217800,482920,-1,357427,-1,958346,385630,533831,408224,-1,203075,-1,581331,877166,922334,435874,-1,-1,677605,-1,-1,158786,730952,997214,-1,843663,273959,-1,793652,686749,-1,652073,264289,957263,-1,-1,834871,147582,685551,944405,-1,-1,-1,-1,-1,-1,-1,-1,967431,-1,-1,479085,296414,-1,80059,921742,-1,99493,308556,-1,-1,243941,275220,922399,-1,-1,-1,139783,512862,-1,35450,129121,-1,-1,-1,946797,512704,978907,-1,-1,-1,-1,-1,572911,146933,-1,-1,491166,734686,-1,-1,-1,687616,-1,-1,-1,-1,-1,254426,892234,94293,891340,498941,505524,-1,-1,-1,359380,-1,803340,664009,-1,534935,281768,475082,868240,-1,523803,-1,330313,-1,-1,809268,811410,-1,-1,-1,633607,628842,-1,162299,-1,-1,351571,-1,612351,521191,486336,-1,-1,-1,980190,170639,-1,150325,279886,-1,155724,725368,473766,623354,421076,863242,-1,-1,602533,128210,-1,-1,375506,-1,-1,-1,-1,-1,-1,315130,-1,-1,466882,-1,975951,-1,-1,2255,722849,-1,357297,-1,649683,-1,354834,-1,765941,6074,833107,436519,-1,79367,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,109055,893917,-1,-1,-1,-1,-1,-1,156371,-1,-1,600758,119050,-1,-1,190955,-1,-1,614691,-1,242131,796315,-1,-1,442746,-1,-1,-1,399739,-1,-1,-1,655657,-1,-1,584222,-1,972584,-1,-1,296499,-1,-1,-1,782687,969854,940668,-1,149548,-1,-1,-1,-1,-1,-1,-1,409939,458066,-1,378495,-1,311814,-1,-1,-1,230516,111438,-1,852600,853428,965875,687652,461937,483025,-1,542203,-1,421323,575383,479200,790823,-1,-1,29705,376974,357631,513017,87894,914460,870688,-1,-1,-1,-1,-1,869376,672178,-1,85321,46002,271056,720719,-1,306499,-1,591083,-1,-1,695046,62021,348576,-1,-1,-1,-1,-1,411329,601388,466819,797823,-1,244684,813961,965034,522186,-1,-1,626293,-1,-1,-1,238237,-1,572499,-1,792451,780286,-1,-1,265935,-1,-1,-1,-1,866694,75909,872212,-1,762242,-1,-1,443877,-1,-1,747004,271792,-1,57420,-1,347804,927616,-1,-1,477377,388923,-1,-1,463488,-1,656499,408375,338513,343908,684252,114904,284717,804755,907006,-1,-1,-1,566738,654669,-1,107527,-1,-1,284845,649858,33260,732203,117427,161681,260577,908648,209716,-1,-1,166346,252726,154841,731178,662925,985621,413034,-1,-1,-1,638331,281602,-1,202707,161387,-1,518568,-1,790273,-1,-1,317296,706812,723545,248992,297003,-1,-1,-1,-1,-1,-1,593703,941071,-1,108344,595469,902316,2225,-1,-1,929620,909651,128225,-1,609722,-1,253577,-1,556315,728546,-1,-1,-1,483629,-1,493127,310122,167713,-1,113920,364373,548096,-1,658391,144846,676860,-1,-1,-1,-1,379667,-1,-1,-1,123888,-1,-1,540095,48286,-1,-1,105915,-1,808539,-1,-1,913076,907094,777138,-1,34270,508816,962209,-1,-1,998695,409865,-1,-1,413352,462721,854295,246569,-1,38536,641005,-1,-1,-1,225141,737807,-1,598504,274708,499984,533932,7455,-1,-1,270156,688902,-1,621840,-1,-1,-1,601931,336990,-1,585923,-1,-1,402115,335216,-1,-1,-1,-1,939147,-1,205929,-1,182224,-1,419430,936344,741443,693432,102268,-1,-1,309986,68182,740192,81354,-1,-1,-1,-1,-1,350196,35294,787462,-1,632550,-1,-1,-1,783895,-1,544063,56250,-1,294743,-1,-1,-1,-1,145163,530695,-1,145922,326393,-1,-1,52042,56555,397794,-1,-1,-1,216177,296946,859794,845399,612657,-1,-1,-1,-1,-1,-1,-1,870884,597935,339174,-1,823284,-1,-1,718056,-1,-1,-1,336150,781996,275252,593729,-1,-1,379700,-1,875972,-1,723892,440649,236520,188564,-1,419075,929936,334986,-1,666713,-1,-1,-1,-1,919119,-1,-1,-1,311083,-1,897177,49263,377288,47521,-1,469972,-1,-1,-1,749677,318121,525595,-1,-1,-1,-1,930815,-1,870932,-1,699034,-1,30563,-1,-1,-1,-1,-1,-1,-1,-1,-1,19179,532537,295835,619936,-1,346403,-1,-1,-1,-1,67403,506311,264172,301578,-1,258915,-1,-1,580188,236742,199368,264285,611360,-1,383402,17001,-1,-1,830844,-1,728915,-1,-1,64747,901818,173578,-1,-1,530375,-1,924704,-1,-1,543562,-1,-1,726804,254885,-1,915594,228544,-1,-1,517725,-1,-1,559777,-1,-1,76608,-1,-1,842212,743730,594821,-1,-1,476876,45105,231650,319990,847405,228501,-1,-1,-1,779741,-1,789686,251349,-1,-1,965389,113434,462931,-1,-1,148255,-1,-1,215389,-1,757190,-1,-1,115399,-1,-1,101660,864775,-1,-1,618076,219378,455954,732977,15616,221437,957459,-1,-1,-1,157943,600104,532608,-1,-1,-1,593215,230646,-1,764616,-1,295460,-1,549180,-1,-1,856529,-1,-1,-1,-1,328733,-1,996690,-1,517561,804424,-1,35571,-1,-1,306714,-1,-1,965403,665637,-1,-1,-1,794646,347272,550803,606778,-1,-1,-1,-1,-1,-1,-1,193033,558154,-1,736548,817403,342900,-1,675160,653372,364000,-1,355060,-1,55321,-1,185708,-1,-1,-1,-1,408624,-1,787645,-1,-1,-1,512096,-1,760081,-1,585035,-1,-1,-1,584152,26471,-1,115768,81187,-1,-1,-1,-1,806149,746371,-1,-1,-1,542953,-1,330363,-1,-1,132498,51657,743768,-1,-1,988186,-1,87367,-1,-1,-1,-1,794547,-1,-1,-1,112955,665416,-1,-1,170604,-1,685939,137626,290313,-1,-1,-1,104239,642971,391086,962635,-1,-1,903624,-1,-1,-1,-1,-1,-1,801981,521093,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,739962,-1,502145,873147,-1,253936,89318,25685,-1,333118,-1,-1,322266,529278,-1,-1,-1,732731,948832,-1,31737,924032,-1,289178,-1,-1,-1,533823,534377,-1,-1,-1,533789,-1,-1,702812,-1,-1,944790,-1,251107,548982,-1,563898,709333,277707,356635,-1,63464,414779,-1,218511,858223,927945,861083,583904,915206,-1,351678,500387,282122,586693,-1,-1,667640,-1,-1,90526,-1,836931,-1,924811,-1,94903,75371,-1,-1,-1,126356,-1,-1,666744,215437,-1,948222,35308,-1,134604,222559,446320,724609,-1,-1,-1,293335,158087,678604,767984,293700,-1,-1,-1,369805,66805,-1,-1,-1,-1,-1,383866,143072,-1,979350,93083,-1,409622,-1,553327,820713,763707,842520,156334,563235,833747,-1,36345,-1,910159,-1,-1,115113,362144,-1,-1,-1,-1,124919,-1,-1,-1,-1,665585,438923,732905,-1,-1,957776,578795,-1,-1,-1,-1,-1,-1,879949,-1,-1,-1,189578,-1,-1,36361,-1,-1,-1,-1,785700,70338,-1,-1,-1,-1,-1,318151,229206,958223,347795,-1,-1,980658,-1,-1,-1,-1,-1,-1,-1,-1,997645,79275,-1,-1,820188,-1,-1,-1,686279,287400,851223,-1,-1,837340,258848,-1,919227,-1,-1,-1,87291,-1,-1,38194,-1,-1,-1,393776,-1,-1,-1,-1,23303,-1,409010,95942,64482,-1,-1,88519,-1,-1,-1,-1,-1,-1,368284,492173,-1,488389,-1,719165,71702,-1,-1,238083,-1,720538,-1,-1,117862,-1,828118,734222,-1,281594,-1,294616,454050,479901,921243,-1,-1,130201,785930,706362,211090,800647,-1,101691,-1,159393,517950,-1,-1,341838,-1,-1,-1,266163,692894,-1,106358,757363,365632,265004,-1,-1,886848,-1,-1,-1,153920,-1,-1,793749,685053,-1,826332,-1,-1,925369,-1,455048,-1,677150,-1,-1,779578,-1,110149,145115,208552,-1,-1,-1,-1,-1,-1,907558,547559,-1,842165,-1,-1,-1,-1,-1,880645,900310,371087,-1,862341,538464,-1,150950,942839,397885,140345,303388,589520,-1,891572,-1,-1,314907,-1,-1,-1,-1,566650,902825,456903,-1,-1,436393,-1,920621,-1,701359,107406,256088,-1,-1,899539,486756,991113,-1,62112,101443,727113,-1,615812,-1,259452,-1,-1,15219,909895,164228,-1,165506,-1,421890,61195,-1,610496,512302,779446,-1,372859,-1,-1,673286,-1,-1,-1,163475,-1,-1,209565,192399,-1,565726,280432,939844,784065,-1,-1,268716,-1,114700,971869,779261,-1,-1,886809,-1,-1,-1,-1,-1,-1,339619,-1,899773,481851,-1,270284,-1,720167,-1,-1,816399,869609,772864,-1,739065,-1,682164,414372,664341,890592,-1,-1,-1,329241,856646,272136,915337,-1,-1,577942,598255,392076,772247,-1,-1,575063,-1,97176,278049,-1,822840,-1,293822,909624,-1,-1,912478,-1,936525,-1,-1,998086,-1,316761,-1,-1,27779,519498,-1,-1,-1,-1,-1,122553,-1,351726,119762,482403,357532,475530,-1,601538,-1,-1,698636,-1,-1,-1,-1,110365,-1,715420,202155,-1,123694,499383,-1,999838,482605,146172,-1,305239,740688,-1,-1,162388,-1,555410,-1,887141,-1,-1,67903,-1,427497,872799,480474,186530,-1,-1,455069,89927,-1,560790,761869,-1,335959,-1,783635,92476,280346,691625,284224,897224,-1,-1,810497,209307,-1,240269,-1,634684,667446,486770,965923,507838,189453,-1,462299,435969,653896,-1,700023,625680,-1,770496,458268,-1,329166,657677,97054,321778,94020,-1,499903,702616,897651,268974,906155,989317,670464,-1,-1,52161,-1,876470,-1,965446,-1,-1,-1,540381,-1,140295,-1,689091,853006,770903,112159,867524,-1,-1,-1,855377,-1,486135,265781,899271,951290,-1,-1,447742,317079,15359,66665,113715,-1,523215,-1,686635,-1,616246,153636,233589,-1,60409,-1,755809,736854,878120,-1,-1,-1,-1,115644,-1,17867,-1,-1,-1,276009,404606,545161,-1,-1,918562,253202,-1,691424,304339,190829,273470,-1,-1,-1,-1,51488,-1,-1,-1,-1,671664,631678,671227,-1,649494,-1,459225,-1,976840,-1,-1,328307,843397,598431,-1,-1,437269,-1,60720,-1,184421,-1,884849,-1,805327,-1,-1,492770,200434,346307,-1,-1,-1,-1,225619,-1,-1,203619,-1,-1,-1,-1,-1,-1,-1,475869,-1,904534,54815,-1,-1,-1,-1,-1,-1,672860,-1,-1,-1,748977,-1,599818,-1,-1,746268,864943,426214,-1,-1,-1,946211,600640,444563,-1,215994,104607,-1,312761,887674,-1,465,-1,483507,-1,563844,-1,-1,-1,872924,856014,325788,-1,828610,382082,243947,427814,2951,242018,7743,-1,365404,56788,-1,-1,683283,-1,176751,-1,384551,-1,93712,-1,-1,172397,-1,-1,-1,788288,-1,-1,-1,-1,104214,983261,929296,915320,500761,-1,-1,-1,437490,-1,171454,325117,-1,-1,937947,-1,429496,413820,-1,-1,-1,18138,-1,561659,555425,-1,717595,-1,-1,230836,-1,-1,788552,-1,-1,-1,460207,-1,-1,541462,-1,339596,-1,-1,-1,322615,928454,842586,-1,93207,376907,695952,-1,-1,614608,938835,75427,548095,768109,-1,-1,740932,-1,970678,177786,-1,-1,-1,526850,158336,-1,431676,57746,681436,-1,490073,-1,-1,706373,-1,-1,358557,-1,147555,945786,-1,635610,546104,374187,225032,-1,-1,811356,139285,-1,334493,-1,107380,435759,873848,-1,-1,-1,-1,-1,-1,949218,-1,-1,-1,-1,564790,227540,623615,851891,-1,806718,-1,47851,961033,372967,882775,-1,-1,-1,-1,-1,840293,-1,-1,-1,-1,-1,-1,410013,921852,760200,578414,767809,636345,728008,-1,739765,-1,327098,730371,824449,997154,-1,-1,-1,-1,784564,-1,-1,-1,352730,-1,-1,-1,-1,230469,-1,-1,894280,52859,384492,681448,720149,-1,704145,542636,-1,-1,-1,815435,800313,336243,427644,-1,363822,748811,-1,-1,-1,28616,-1,91438,-1,-1,483841,293124,-1,-1,-1,134824,968874,684273,747954,-1,-1,-1,170797,-1,139090,-1,648285,-1,63594,90591,676021,-1,325777,-1,17783,-1,-1,616999,975072,906357,-1,982861,-1,-1,753597,-1,791941,-1,-1,905170,-1,145027,206271,-1,-1,-1,551899,-1,633988,75905,-1,-1,860228,578578,573152,528620,912071,-1,-1,222538,-1,-1,-1,247668,154182,981635,734099,446382,299094,903187,-1,-1,639859,-1,-1,261052,-1,366788,220750,334840,266469,775157,-1,320656,343753,-1,-1,694922,985240,358773,826643,97121,678888,-1,-1,305421,160514,824399,-1,-1,55156,387706,-1,-1,-1,414988,-1,-1,937953,979847,485703,-1,418178,-1,202625,-1,-1,423702,-1,-1,42367,612957,-1,-1,364214,-1,971180,277034,-1,-1,-1,-1,611004,-1,-1,618149,149180,-1,134933,900708,126513,-1,-1,-1,-1,-1,536026,920248,878984,-1,70700,702326,856734,764523,-1,-1,980395,618087,48859,-1,106706,675167,-1,57738,-1,-1,855104,-1,-1,352726,-1,-1,815229,-1,408139,133460,-1,924777,-1,-1,262458,-1,23865,-1,-1,312143,-1,-1,269265,-1,-1,938739,-1,641714,-1,900848,-1,960876,-1,865774,-1,917516,977770,647576,529847,825068,893311,899536,-1,-1,-1,364858,80909,-1,684842,-1,-1,398564,682376,-1,636430,-1,966984,-1,-1,479790,-1,-1,829680,444454,-1,-1,448730,-1,-1,747077,-1,-1,503506,2804,-1,652244,287132,-1,576886,-1,609538,606792,301100,-1,-1,-1,615047,-1,-1,-1,-1,-1,648521,-1,844882,-1,-1,892758,-1,-1,-1,-1,716746,-1,385755,-1,4959,-1,-1,-1,180807,965035,-1,71414,-1,693089,-1,721994,504475,-1,710083,-1,993488,-1,-1,518147,-1,-1,-1,884924,125803,442531,624201,194373,-1,702157,49577,-1,-1,-1,864149,-1,-1,-1,-1,-1,320952,912283,258758,743514,-1,243910,-1,-1,77742,634456,23212,-1,-1,-1,-1,-1,421993,277212,675378,636666,-1,-1,-1,-1,-1,-1,-1,-1,124837,724832,570762,-1,-1,985987,566551,-1,-1,958351,-1,-1,587667,401540,-1,-1,539158,-1,-1,768988,457799,-1,-1,892945,294333,-1,-1,-1,-1,684431,-1,-1,357344,505408,-1,-1,355931,-1,633987,42219,271275,-1,-1,-1,309720,-1,-1,958480,994748,891037,854638,126118,-1,-1,-1,653942,963636,215535,-1,558064,-1,-1,601275,689990,-1,-1,-1,-1,-1,-1,-1,610484,74832,775923,-1,842134,-1,308016,351507,924393,252876,-1,-1,813580,-1,917827,8720,327609,-1,-1,-1,396263,-1,-1,737194,-1,-1,596390,-1,-1,615844,-1,-1,180447,966673,-1,-1,-1,-1,977490,-1,873859,-1,139574,184618,-1,981269,833752,-1,467856,988161,899018,-1,-1,-1,418338,-1,328580,458172,-1,593430,-1,885791,-1,-1,794299,-1,-1,-1,-1,890208,-1,183049,913065,-1,-1,-1,627961,-1,628675,-1,170260,178022,961092,-1,-1,786404,-1,-1,311732,111175,-1,797097,612643,788452,626789,-1,-1,-1,428172,973533,461148,285818,-1,-1,-1,774441,416511,179187,660680,406689,587885,-1,-1,385840,246457,961079,-1,535755,152036,-1,144919,-1,127413,-1,-1,-1,413854,413171,-1,731467,839523,-1,279919,-1,825088,-1,-1,154606,789781,495791,327133,74132,200979,-1,978047,575790,560666,-1,-1,-1,898375,746496,-1,20388,-1,577825,157194,-1,-1,429300,134395,383899,-1,732614,146457,720460,-1,836693,388037,322683,981356,864646,-1,-1,-1,-1,849853,47587,985735,-1,619697,325104,-1,-1,77082,650539,-1,403133,-1,-1,309341,-1,-1,-1,-1,373828,406518,592873,-1,-1,394822,-1,385477,599494,114390,443924,942059,-1,-1,83387,-1,-1,474738,-1,567143,-1,-1,-1,-1,411366,13368,463587,-1,789095,678681,536189,-1,281674,385609,-1,654364,-1,-1,292311,-1,559912,838746,444472,21960,932119,33990,-1,-1,-1,403666,25162,647321,719185,924837,888972,-1,-1,-1,422071,62874,-1,190976,-1,834799,-1,737616,869427,-1,963319,-1,387213,-1,-1,-1,776620,-1,524199,957545,-1,721641,-1,-1,163692,-1,583576,-1,758541,-1,253486,314001,-1,-1,131643,806102,-1,500689,-1,386118,828855,22836,-1,-1,265734,-1,-1,-1,-1,358582,295685,-1,313721,554104,607885,500716,903229,339343,-1,-1,918304,629980,447939,-1,622379,923402,331041,625252,954916,45681,-1,167330,785610,-1,463828,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,496656,606317,254712,718974,-1,987987,915267,612879,202838,355465,201950,-1,-1,-1,-1,363718,220319,-1,233877,-1,-1,-1,818629,89940,-1,-1,-1,-1,-1,-1,-1,-1,-1,305280,-1,-1,-1,393497,739959,-1,-1,-1,-1,780603,767351,351079,-1,-1,600538,226539,-1,890662,-1,827772,425569,-1,978176,391756,159367,-1,-1,441530,867295,-1,-1,500830,-1,-1,-1,186082,431410,975899,94941,46910,-1,445695,88656,839443,154211,-1,681067,20888,883633,514928,843932,548120,830306,705965,601290,18652,618965,-1,-1,-1,-1,692522,587987,-1,-1,-1,-1,328661,-1,213806,713581,-1,239631,-1,988708,-1,-1,-1,253410,-1,-1,-1,909964,564910,-1,725431,-1,360755,877930,-1,118963,-1,255109,-1,-1,-1,-1,-1,337647,-1,-1,-1,-1,836854,391732,801268,-1,324502,661938,987077,-1,-1,-1,14736,-1,554890,-1,625245,745708,-1,113423,835842,-1,-1,-1,-1,-1,333298,925197,-1,417900,146533,240740,82137,-1,-1,293444,595164,-1,-1,744377,330778,193688,-1,-1,300855,554853,863910,-1,446326,800045,563350,-1,-1,-1,323899,-1,-1,249142,-1,768853,171237,-1,279856,606799,-1,710765,611641,434470,835255,303998,839574,-1,888739,728172,-1,-1,430050,130566,-1,-1,581275,-1,356606,-1,-1,-1,-1,346097,349521,34528,-1,-1,-1,-1,620651,422644,-1,271096,-1,-1,-1,621836,-1,-1,-1,502656,895729,471846,203993,-1,153341,-1,-1,-1,197537,13950,-1,333991,-1,789743,-1,823153,-1,-1,-1,-1,-1,282318,711120,-1,-1,-1,-1,-1,878316,58345,686094,765375,823628,-1,839454,-1,-1,528598,335182,550712,-1,165692,-1,332372,-1,839585,-1,-1,-1,-1,827979,877236,-1,582751,-1,536887,175956,-1,457669,-1,913098,400331,-1,361111,478292,-1,-1,560316,-1,-1,-1,-1,-1,724899,-1,-1,511730,426758,103947,-1,153717,855687,-1,850031,-1,380697,462638,-1,-1,744508,152265,719151,204975,-1,-1,-1,-1,-1,530138,-1,-1,-1,-1,-1,-1,80121,1684,-1,291141,-1,509531,588025,-1,606632,309029,722159,297816,-1,187227,-1,920343,257359,-1,120422,-1,-1,-1,442121,-1,-1,-1,778146,905883,696984,199734,883543,571005,709012,21002,-1,-1,-1,559524,-1,273908,-1,-1,-1,-1,-1,439904,880700,-1,-1,-1,94386,846792,132288,63350,183835,393369,-1,-1,-1,-1,232132,702453,-1,-1,-1,672219,-1,-1,-1,-1,-1,-1,188257,-1,316354,-1,926920,767703,-1,-1,659055,334249,520588,243020,376721,-1,-1,-1,-1,-1,806110,320729,-1,306863,325724,-1,-1,370691,454629,669787,101608,866408,190989,-1,-1,-1,-1,412080,-1,-1,552233,-1,90194,-1,653480,-1,488178,-1,324325,-1,-1,-1,122631,753170,339540,-1,-1,626487,-1,517903,368133,-1,485833,-1,-1,346627,677685,370409,382756,-1,-1,-1,765289,-1,-1,342441,-1,-1,-1,-1,721100,209850,-1,-1,-1,5715,-1,517752,185001,-1,257864,605285,-1,156792,279881,871706,678498,-1,-1,737743,380524,-1,939709,643166,964364,713978,254515,-1,-1,692011,-1,10248,-1,-1,3543,961904,-1,860941,730255,-1,348327,171489,-1,603472,-1,166908,30760,364518,-1,446803,-1,-1,750618,-1,-1,148107,68870,627692,-1,-1,-1,11906,287473,-1,433834,-1,389080,-1,816079,444248,-1,585718,-1,943142,234580,101146,548196,691317,783011,-1,454031,684872,-1,152775,145077,-1,156275,676340,891386,136453,-1,-1,-1,-1,661045,751808,184416,-1,853884,699891,-1,753445,-1,-1,-1,-1,-1,-1,383702,989834,-1,106221,-1,-1,-1,-1,245135,110233,-1,382046,-1,792456,666428,-1,-1,229322,-1,-1,721087,974141,807521,202481,904019,207103,459128,83630,-1,645879,-1,61014,538187,-1,489746,-1,191852,-1,-1,-1,422534,895980,545012,-1,627758,-1,-1,70312,-1,19210,15121,282849,882026,-1,-1,-1,655643,-1,658922,-1,-1,426257,892202,-1,-1,822068,365077,36148,-1,-1,516516,781470,256271,-1,844194,-1,-1,231579,-1,-1,-1,-1,-1,-1,725467,126557,-1,-1,-1,246464,-1,-1,127656,764178,-1,-1,750283,-1,654576,943917,-1,-1,-1,514258,-1,883212,-1,523248,946614,-1,377879,260820,999741,-1,-1,-1,-1,-1,-1,-1,741726,258322,436590,-1,-1,387491,-1,54159,-1,784186,-1,707062,334357,-1,95229,-1,-1,-1,-1,77199,10995,-1,111911,69386,-1,-1,124091,-1,-1,-1,-1,-1,-1,-1,368256,889598,-1,41147,409164,444383,-1,-1,656182,-1,799457,867183,-1,-1,-1,543966,-1,559577,928751,-1,847276,-1,724709,-1,525008,-1,-1,995484,986537,-1,-1,-1,45251,268729,-1,862349,-1,824711,493116,727950,-1,762181,-1,-1,375279,534478,158735,-1,-1,-1,641635,-1,-1,-1,181794,247225,-1,-1,20498,-1,921937,-1,94244,-1,476435,-1,349840,-1,607005,731591,720324,116539,-1,485437,-1,686381,-1,-1,154947,-1,156418,967476,609019,-1,255314,-1,-1,-1,977469,79107,234719,900739,-1,-1,422001,718984,-1,-1,-1,-1,-1,-1,-1,-1,268461,-1,-1,-1,-1,-1,349679,625738,-1,104410,-1,10430,584265,-1,865773,-1,-1,173692,725857,-1,242443,108564,-1,103409,678340,-1,-1,-1,753777,10752,185972,-1,380238,585282,700688,-1,-1,966871,-1,-1,823114,975920,-1,-1,-1,293429,-1,-1,-1,-1,246587,-1,-1,-1,982876,-1,213289,768380,934781,-1,-1,806294,107807,940128,486828,982509,430183,-1,-1,463948,131906,942014,160431,-1,837960,-1,822008,708920,-1,-1,798735,-1,-1,82560,-1,787081,468485,-1,836818,-1,-1,-1,573982,186824,-1,-1,431989,-1,-1,622146,896757,631324,365619,822028,941468,-1,843543,60259,15224,-1,-1,675915,-1,-1,684543,-1,130150,512205,963400,404657,-1,-1,-1,-1,-1,224003,-1,-1,-1,81442,-1,7820,423988,-1,-1,-1,766025,-1,383415,-1,-1,-1,-1,-1,-1,190218,772580,825523,-1,-1,284541,574531,-1,-1,-1,-1,-1,-1,788580,-1,-1,862689,662833,245722,9125,-1,-1,-1,-1,-1,445390,715522,824734,469955,-1,692784,963703,-1,725730,615522,134240,69119,169408,963676,14237,792119,-1,774413,435736,-1,236883,-1,411413,-1,681528,-1,-1,231196,44088,945300,-1,-1,593227,239707,-1,-1,-1,-1,411749,-1,767890,164426,146723,402914,-1,-1,969932,-1,-1,-1,622105,-1,56091,-1,-1,357603,-1,99806,546231,-1,-1,-1,754092,914233,-1,827113,-1,534884,-1,867226,961188,-1,369415,-1,291061,700844,786553,164034,-1,-1,-1,-1,212863,555493,670364,758546,481667,-1,-1,-1,831599,393825,-1,451764,570852,405970,732313,-1,483962,417193,-1,-1,240389,-1,625395,-1,225997,453701,265454,-1,-1,-1,-1,750378,798461,760925,635753,-1,-1,522356,519434,-1,-1,-1,-1,-1,-1,-1,-1,43730,-1,-1,282828,-1,7887,-1,-1,-1,26219,-1,406657,580506,306065,-1,-1,-1,840492,-1,-1,-1,-1,-1,-1,193080,-1,721624,432813,-1,-1,-1,53252,532028,-1,936653,851384,-1,686159,-1,-1,465186,-1,554303,212296,440986,-1,-1,965513,-1,845791,-1,349902,-1,-1,269390,-1,314127,895537,2633,-1,106681,865362,867834,151979,-1,-1,119592,-1,899636,418290,394104,-1,-1,-1,-1,-1,395450,95252,-1,-1,-1,747382,71034,201047,-1,457264,381605,-1,-1,621989,-1,-1,824838,-1,478839,-1,-1,512514,633801,-1,-1,978694,370274,943129,807420,134456,258317,-1,-1,-1,365314,340878,-1,-1,195879,411897,-1,779336,42634,-1,50976,972021,-1,984888,-1,247645,936865,162443,-1,732627,161316,793439,-1,510207,-1,815097,-1,-1,-1,296899,131180,779799,602078,967587,67389,-1,453226,6815,478942,143606,108067,960364,5214,986795,-1,842854,168543,-1,-1,942765,-1,-1,-1,-1,-1,-1,-1,-1,616034,-1,-1,606256,-1,-1,108349,-1,-1,925383,-1,-1,-1,442892,-1,-1,241747,981204,-1,-1,52236,-1,709104,659923,-1,505619,777972,903641,-1,-1,888688,-1,895425,626062,729920,63892,-1,708879,29371,649711,356599,-1,-1,298734,653432,-1,4658,361306,-1,-1,-1,-1,400073,-1,842202,233052,-1,12019,428279,191455,288402,308559,-1,-1,715919,422193,974135,-1,271223,-1,-1,-1,-1,153656,728414,10340,99163,533791,-1,-1,-1,-1,-1,-1,-1,998050,-1,622457,-1,-1,232259,-1,-1,731017,-1,-1,11045,-1,345568,-1,-1,-1,-1,384876,742792,572633,622430,872679,572883,692332,-1,868036,-1,860375,581672,968961,531474,861538,597499,692920,-1,918802,-1,653056,-1,444113,-1,27725,103253,-1,159281,213796,349891,430163,276178,-1,-1,350583,-1,967059,-1,-1,718447,889707,-1,-1,-1,-1,285545,-1,-1,-1,480066,780324,101159,140886,152877,403249,40140,667193,632789,-1,-1,854527,-1,-1,190311,-1,-1,-1,-1,-1,331173,253596,50237,399220,-1,388431,-1,475058,-1,-1,-1,822768,-1,-1,-1,238812,-1,-1,-1,147752,410681,359939,222654,-1,-1,355946,-1,616334,831639,566316,42680,-1,204102,900956,-1,264246,-1,-1,238232,-1,364831,750782,-1,-1,100724,626301,79195,648524,306884,575453,290138,377015,414117,739566,874778,-1,671558,-1,-1,-1,279210,449945,746486,-1,974536,-1,-1,723320,-1,-1,632377,-1,-1,551735,-1,-1,754351,-1,706642,-1,-1,-1,-1,-1,-1,708530,-1,-1,-1,-1,540564,-1,102913,5041,-1,-1,-1,-1,-1,193558,55095,724598,-1,-1,225300,406098,-1,610533,862030,-1,-1,173552,-1,-1,589239,795043,-1,-1,-1,-1,670705,-1,-1,-1,587207,-1,-1,-1,-1,-1,675847,-1,-1,-1,356681,347643,907407,821375,-1,-1,321044,-1,-1,-1,-1,-1,418752,276711,656791,767366,290435,-1,694997,193158,-1,-1,-1,-1,868777,-1,873564,-1,59707,25776,-1,368323,392833,-1,-1,674987,-1,403991,68874,59913,-1,-1,-1,-1,722660,478416,-1,729797,-1,859481,-1,-1,699423,-1,236963,-1,52516,-1,963857,-1,20673,-1,-1,227783,935895,134059,8510,138685,-1,-1,-1,-1,-1,967910,397120,-1,960433,-1,648128,-1,536881,128550,989106,962578,-1,564824,681104,-1,-1,649637,439995,862081,-1,-1,540865,-1,566514,284841,-1,633637,-1,738288,-1,-1,769134,382319,-1,-1,-1,-1,619001,556880,596677,511776,462784,10003,104147,-1,-1,1460,394275,234262,-1,-1,-1,197546,-1,-1,-1,-1,506070,-1,50675,942143,-1,635526,68776,742441,498850,319012,544083,402053,663735,150217,-1,-1,993377,-1,966042,-1,-1,482899,374255,38455,-1,-1,-1,938867,231902,177775,299479,-1,-1,832617,875014,936966,281298,-1,390642,-1,-1,-1,-1,605699,708484,-1,-1,-1,180168,241052,164981,654595,-1,313027,487966,315781,727782,478012,-1,918942,156010,951371,607761,793982,731421,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,229032,622668,-1,-1,521887,789966,546788,-1,892707,-1,872062,470405,-1,-1,-1,646206,307668,120446,790330,378800,574996,-1,-1,-1,-1,-1,352722,-1,-1,-1,-1,-1,-1,765510,443317,-1,376262,488944,-1,23066,-1,-1,-1,60498,-1,613425,-1,43094,936308,479674,426222,792046,576729,-1,909937,-1,179251,628997,-1,568976,339688,990697,425716,296966,796806,65048,939960,-1,99976,480055,-1,141722,-1,-1,-1,719655,282688,-1,829278,700807,526568,-1,88729,47257,612227,-1,-1,621949,-1,567444,205044,652239,286271,207874,-1,-1,501505,-1,188818,-1,-1,332356,133160,-1,568764,810209,-1,624312,473188,835725,318324,766656,289723,91422,-1,357393,877961,883706,-1,532972,-1,717476,-1,-1,-1,260625,-1,-1,389002,-1,-1,-1,-1,912273,-1,342069,77439,-1,536140,95707,-1,243062,225929,444144,-1,205064,375182,-1,-1,-1,-1,506969,360485,362880,-1,-1,647160,76901,985954,211151,-1,359524,-1,215664,-1,493656,409765,-1,881832,-1,-1,-1,286763,280591,-1,966168,-1,478943,478267,-1,-1,-1,-1,17634,665188,-1,-1,-1,819038,125371,-1,-1,-1,-1,282568,-1,-1,-1,922219,-1,-1,-1,-1,338007,111667,-1,927127,-1,759605,360246,466270,-1,-1,696034,392584,-1,241297,-1,-1,-1,966999,-1,269629,-1,-1,-1,823620,84323,157613,-1,-1,-1,-1,780215,186239,186818,-1,-1,541128,-1,-1,-1,54787,-1,-1,-1,891368,-1,-1,-1,699302,531187,-1,640550,-1,-1,-1,114168,881440,-1,973268,-1,268451,-1,-1,24084,592645,-1,498229,-1,462679,429766,810292,-1,-1,-1,-1,554850,269078,-1,243186,-1,588622,206971,-1,-1,735858,-1,-1,386446,-1,-1,853554,-1,-1,355028,665544,443450,-1,959679,-1,-1,256433,-1,793250,979234,74754,-1,649148,312634,510107,994455,-1,-1,674485,670873,435203,802886,135085,652750,-1,-1,-1,-1,969790,385858,-1,-1,-1,-1,712869,-1,288710,-1,548108,95840,-1,-1,-1,-1,-1,375001,499564,657080,-1,-1,-1,-1,-1,-1,219717,-1,-1,846673,-1,-1,553289,187412,371436,-1,-1,404234,-1,-1,661220,428993,182690,45458,-1,148728,586960,-1,466435,-1,-1,-1,80164,-1,585716,822707,-1,-1,-1,627441,483745,255804,-1,291254,424703,-1,250098,-1,330625,-1,766424,-1,445014,-1,-1,-1,940850,375744,946324,122754,-1,438709,-1,-1,863469,284469,75243,-1,-1,-1,-1,223591,-1,-1,747463,-1,124013,456403,-1,-1,744100,-1,539749,-1,-1,51374,-1,111075,-1,402785,-1,-1,-1,-1,-1,438403,-1,869973,995759,283564,83894,-1,-1,100187,-1,-1,-1,408410,-1,506533,774093,-1,873983,-1,738398,788766,275820,371246,121312,-1,-1,-1,78135,-1,-1,538101,337874,41696,-1,-1,820706,-1,-1,-1,565717,663893,-1,699269,542502,637744,-1,-1,8408,-1,178866,-1,297771,688248,649861,-1,-1,296733,-1,-1,506546,916255,387426,-1,600319,426684,-1,-1,80397,-1,-1,-1,340870,-1,-1,40226,328017,810671,868119,730640,-1,-1,139332,-1,506459,772869,-1,156930,-1,114406,250688,746667,-1,655201,674385,-1,313444,-1,532717,-1,-1,-1,29459,-1,989757,-1,865777,656744,-1,389997,42134,-1,-1,163650,341719,-1,-1,802469,376227,-1,-1,-1,-1,74678,-1,287960,375469,508388,-1,-1,548515,824880,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,690098,-1,-1,182099,843191,662133,136719,-1,-1,975820,-1,989316,628134,-1,-1,-1,954865,286477,-1,821182,-1,538181,686125,14655,734699,-1,-1,544803,-1,-1,298666,223869,51045,722149,461643,-1,171460,-1,375378,203200,-1,-1,-1,218305,390293,61628,-1,-1,770834,-1,375804,-1,-1,-1,-1,-1,-1,-1,863770,-1,373653,601685,181940,-1,164760,-1,-1,478781,269017,-1,799108,899486,-1,-1,-1,677948,-1,379248,-1,-1,-1,48930,787756,701762,-1,-1,-1,-1,-1,-1,245476,627537,-1,-1,312061,-1,-1,607190,349354,-1,-1,-1,904188,479332,291026,-1,379418,-1,-1,-1,795826,-1,-1,261717,892096,-1,-1,980867,301822,-1,774952,-1,-1,-1,962181,-1,941618,69854,-1,120195,-1,203476,-1,531768,561954,-1,-1,-1,-1,-1,317146,198062,-1,-1,-1,-1,334014,-1,667703,264567,-1,522113,696758,-1,265150,406994,574663,-1,-1,-1,-1,-1,608369,-1,58084,-1,-1,-1,-1,794769,-1,-1,233534,15664,428749,496370,676103,389799,95350,-1,942931,-1,-1,-1,-1,481119,-1,308593,343005,-1,77075,885866,-1,404003,88966,97622,-1,813351,716432,-1,-1,-1,262552,913787,-1,-1,347186,583283,890274,549642,942730,600916,-1,338918,784656,-1,405253,-1,-1,870047,-1,-1,989663,606518,-1,-1,-1,-1,-1,-1,181474,-1,-1,259533,-1,369721,-1,-1,934459,-1,704690,-1,-1,875620,-1,306502,676026,154852,-1,374339,200481,-1,-1,304976,-1,-1,120450,-1,-1,500584,-1,451710,-1,-1,-1,975114,113145,-1,-1,-1,654596,-1,688473,541880,360104,769933,-1,269403,806897,-1,979540,33754,-1,-1,-1,-1,771952,288203,-1,-1,8496,835628,429463,-1,456860,-1,-1,224584,828299,-1,500372,603568,-1,-1,19048,-1,246378,-1,-1,502905,661443,53836,-1,-1,-1,-1,824368,991199,279571,-1,-1,899200,-1,936269,756883,628480,-1,59202,954237,-1,313172,990226,954681,-1,763171,344571,-1,-1,429747,982675,-1,-1,37540,702970,336056,-1,213944,-1,-1,-1,-1,-1,622183,-1,463043,120789,-1,89882,849114,71869,176474,173272,-1,-1,713762,684148,-1,603475,54088,-1,113399,333756,-1,222042,529935,410125,-1,597713,-1,174768,-1,-1,-1,284491,-1,-1,-1,342953,82564,558807,-1,279499,678543,691134,-1,392718,-1,-1,-1,199125,-1,120922,-1,-1,-1,-1,3052,363914,491378,-1,-1,68008,180577,23661,669049,263569,-1,-1,-1,-1,-1,893630,-1,684478,663297,686876,180789,721595,578643,-1,-1,-1,323642,509438,-1,-1,502699,359032,355784,453496,287586,-1,-1,-1,110885,-1,-1,153755,884683,743320,152724,161838,792736,-1,-1,-1,483337,39920,-1,-1,793047,-1,-1,270208,51975,243030,677911,84664,-1,596037,831843,509513,215961,-1,527800,672812,-1,-1,861980,-1,-1,-1,225030,-1,127218,56862,962043,-1,-1,-1,956370,94706,-1,-1,218791,184227,751974,60231,-1,126653,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,839022,885765,-1,-1,221254,-1,579271,-1,167839,977266,-1,-1,-1,673949,-1,717308,-1,723756,-1,666104,978117,-1,-1,917034,216804,15094,266346,122330,212053,-1,802527,254594,-1,-1,122044,-1,251235,184924,-1,-1,-1,530493,-1,221694,-1,-1,-1,-1,-1,447235,-1,158363,51978,816830,-1,560592,-1,-1,-1,530479,961296,599745,978886,246136,129853,893129,838565,-1,-1,290431,868783,-1,70723,786938,-1,502144,-1,650435,-1,611317,-1,-1,-1,148663,109731,60560,76511,-1,-1,577631,662173,-1,-1,368406,-1,573666,-1,-1,-1,-1,-1,-1,-1,144525,610047,-1,-1,176311,795463,446361,-1,854391,639106,-1,143439,488307,508766,-1,172904,242410,-1,-1,561568,-1,-1,741480,-1,-1,378838,629803,-1,557885,-1,-1,-1,229236,-1,-1,784901,393043,-1,407693,-1,992665,512936,887081,743600,716212,845106,628008,-1,612292,-1,-1,836765,-1,849610,-1,624652,501532,902833,-1,-1,452021,907705,392416,977516,-1,758029,75570,-1,-1,-1,-1,-1,-1,796391,-1,-1,-1,-1,-1,-1,-1,608881,448863,-1,987624,787068,631892,-1,-1,-1,-1,-1,-1,-1,-1,-1,447446,840747,-1,-1,439512,306163,17630,120710,346394,-1,290122,881809,631806,-1,347831,369029,-1,812800,-1,210969,-1,-1,-1,-1,-1,631585,337241,228879,902001,-1,-1,753675,656649,-1,965804,-1,-1,952129,122910,-1,-1,-1,28100,390092,487630,572522,982658,890290,539003,620609,707108,854727,180202,141237,837839,-1,89162,-1,429970,-1,972027,928438,-1,368010,543870,-1,688796,-1,638977,136656,-1,490179,879900,-1,-1,983487,50778,449921,330091,-1,-1,621272,622101,-1,-1,-1,-1,-1,158763,954124,-1,-1,543152,982121,-1,485421,-1,225324,-1,601387,580851,827261,338486,-1,-1,923827,-1,-1,524952,944170,640048,-1,116682,526602,-1,969422,-1,844830,902372,715254,-1,-1,916414,138192,-1,187488,-1,-1,543876,671230,-1,-1,-1,-1,-1,-1,968640,765539,20246,48100,805623,404508,36527,-1,816719,46255,192699,401072,-1,-1,-1,-1,-1,381970,697135,-1,772542,612615,-1,-1,544000,907420,935136,-1,-1,-1,237739,-1,-1,-1,250231,-1,-1,246174,195067,440683,671375,559501,-1,760963,-1,341469,575839,992212,-1,-1,685495,347261,-1,421928,-1,-1,-1,149514,951987,-1,483250,-1,718135,139238,-1,705341,-1,-1,-1,-1,-1,6678,-1,-1,-1,-1,-1,-1,-1,749103,873210,558296,-1,-1,-1,477823,-1,197043,-1,-1,277753,756093,-1,-1,315753,-1,-1,973832,582677,-1,-1,920857,619919,-1,847120,872574,636337,-1,-1,-1,664661,181741,-1,-1,-1,-1,-1,58184,754627,559067,550564,-1,286742,315668,-1,-1,-1,372306,-1,-1,-1,-1,597652,-1,-1,-1,333304,954262,462463,238034,-1,579096,856177,-1,359470,-1,-1,-1,333792,261905,-1,467101,241476,45243,-1,958909,-1,126389,947794,851425,670708,219238,964415,761848,249061,-1,375690,251400,-1,462832,-1,932714,230493,-1,636709,352888,50383,135054,701849,-1,-1,-1,273669,-1,439028,-1,-1,-1,-1,-1,-1,337090,922460,-1,-1,-1,721555,405866,-1,-1,571268,112118,360221,-1,848,-1,773644,797172,319792,179503,-1,-1,-1,-1,669797,996792,942663,-1,789788,-1,-1,-1,841192,-1,796548,-1,311894,25552,938565,-1,-1,287189,900085,-1,-1,-1,392711,-1,417560,295026,-1,-1,-1,255566,-1,-1,393583,847671,-1,-1,895524,-1,-1,-1,-1,622756,368938,-1,170284,-1,-1,-1,-1,70583,-1,-1,196814,-1,251824,-1,-1,-1,-1,242945,-1,937128,355774,-1,-1,-1,-1,-1,-1,617746,-1,-1,-1,737674,-1,12200,-1,-1,-1,-1,353521,263786,-1,332216,6242,772624,-1,-1,556457,-1,-1,-1,-1,496379,-1,-1,-1,970690,550218,-1,-1,381536,-1,634393,-1,971841,949156,346010,-1,936861,844572,138813,171231,-1,176372,686458,-1,854662,-1,-1,412260,-1,569304,492477,371013,-1,-1,900814,597732,-1,-1,-1,35380,200785,-1,-1,311748,-1,-1,-1,710757,839177,402377,8778,-1,-1,113326,624735,412382,351837,-1,-1,-1,913105,691854,-1,-1,-1,-1,256620,563389,-1,887026,81427,-1,535621,995290,-1,-1,-1,989071,831545,-1,188268,-1,-1,-1,235385,58004,587428,63972,-1,-1,-1,-1,-1,-1,-1,-1,531823,-1,287153,-1,222082,821386,931009,947149,207798,45395,123067,437133,620545,614115,908366,-1,956705,-1,-1,165906,115109,478767,583872,12065,-1,-1,252640,-1,121632,698471,-1,976364,518462,-1,327495,-1,771343,-1,799150,-1,-1,-1,-1,294834,-1,12677,229415,-1,-1,780050,-1,-1,752363,662363,542434,-1,-1,-1,164325,-1,-1,440051,339531,-1,760515,241775,-1,27463,598935,-1,736768,-1,-1,-1,230808,-1,470811,39598,-1,-1,635048,138062,-1,-1,590094,-1,-1,-1,626038,-1,-1,764793,-1,166185,-1,-1,-1,-1,-1,-1,963354,892923,-1,206985,-1,-1,-1,-1,-1,-1,281820,958448,-1,-1,684729,-1,988721,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,55266,-1,295024,561894,-1,-1,-1,-1,-1,979590,-1,772134,-1,822125,-1,-1,442384,456763,-1,114462,-1,-1,-1,442644,808046,939154,866883,-1,815633,-1,-1,-1,699070,-1,856755,351605,-1,-1,-1,-1,-1,-1,244064,277505,223990,396447,-1,-1,-1,53014,-1,-1,360975,-1,-1,394216,-1,647547,217878,-1,-1,-1,-1,-1,-1,652466,353770,-1,-1,-1,-1,223251,726510,-1,-1,178038,373887,-1,745270,-1,772802,-1,-1,153562,466117,-1,-1,214068,-1,-1,-1,-1,99051,763436,89880,-1,664447,563834,-1,-1,-1,772070,-1,-1,411029,-1,598946,-1,-1,777378,-1,-1,140208,154187,-1,932299,403423,42341,-1,-1,457067,-1,854480,-1,-1,822916,-1,-1,423730,-1,-1,-1,3581,160639,-1,907718,-1,660471,-1,-1,-1,-1,366413,-1,578738,-1,-1,209839,349182,-1,-1,-1,355771,170884,368524,-1,876336,-1,-1,-1,130538,478664,708740,-1,-1,490724,758978,768273,533669,-1,-1,-1,872751,-1,605648,464938,50598,-1,-1,-1,-1,853892,-1,915542,-1,-1,49727,88931,-1,390981,546970,71331,-1,-1,-1,-1,-1,817829,-1,-1,-1,-1,-1,607899,389349,807957,-1,-1,-1,-1,653756,933267,26187,493647,-1,-1,-1,696090,729406,-1,915987,578016,-1,-1,177403,774863,-1,-1,-1,988792,339592,498093,-1,-1,982737,-1,-1,-1,749977,-1,787117,-1,218639,179421,909549,-1,808995,-1,79096,472602,-1,578852,149264,-1,291207,-1,325327,759938,583800,-1,407508,-1,912954,424377,-1,493597,213801,497626,-1,-1,495861,287269,-1,951989,693477,-1,50604,710648,-1,-1,999519,466879,901674,702910,683521,932613,-1,138443,-1,-1,315760,680949,611235,137383,-1,502969,-1,-1,-1,-1,447674,548139,497171,-1,-1,380164,-1,-1,219147,961227,-1,-1,479388,359829,-1,613232,379787,424937,-1,-1,560944,12580,827650,83039,104983,-1,-1,118577,-1,-1,-1,632058,-1,33898,710316,-1,-1,-1,57379,662158,900272,-1,547723,351526,-1,-1,80621,483853,202489,-1,-1,-1,999531,995940,947064,-1,-1,-1,-1,990,-1,-1,151231,481963,211571,506643,711084,322463,-1,-1,96469,85437,-1,-1,-1,279277,-1,700859,-1,575323,-1,537403,350223,-1,225862,213803,703460,708007,-1,-1,980767,752319,262602,118911,860760,738646,-1,-1,912177,480752,533388,726448,-1,-1,167218,-1,976028,-1,-1,855762,427532,-1,-1,128799,-1,-1,-1,-1,748077,581344,-1,230224,-1,919768,-1,32495,-1,360313,922574,-1,-1,963311,-1,237073,-1,-1,14793,398732,196255,-1,-1,283330,965385,-1,65067,107978,319217,465140,-1,459467,721590,148815,-1,-1,-1,286078,605129,-1,-1,-1,-1,970585,-1,199674,-1,-1,-1,-1,302149,116611,937132,956146,-1,91799,-1,517188,-1,442695,974864,935616,445397,869482,-1,600152,-1,563745,149287,665365,963916,-1,41272,-1,965898,604392,-1,-1,-1,-1,270604,-1,-1,-1,-1,-1,139733,42208,931871,-1,-1,94884,-1,-1,-1,-1,-1,315598,847957,617625,772872,758520,-1,-1,-1,587847,736073,584566,-1,491803,-1,934069,-1,15578,-1,-1,-1,301217,958324,-1,-1,-1,-1,332824,-1,973839,-1,119499,-1,-1,-1,455035,566887,-1,-1,-1,-1,454137,758922,541723,769662,-1,-1,-1,678392,481188,-1,-1,-1,307606,774963,730882,-1,19801,662156,359902,-1,-1,-1,615098,-1,393547,539962,-1,-1,812828,180044,-1,-1,272980,378757,506367,-1,-1,-1,869816,833857,-1,-1,351411,140277,-1,779494,200721,-1,390922,891249,14773,-1,-1,-1,-1,-1,-1,-1,702879,645741,-1,135618,343004,-1,-1,973312,-1,-1,-1,994037,880200,-1,-1,-1,-1,-1,-1,-1,757474,710108,968586,-1,-1,-1,177095,-1,214053,-1,993211,-1,-1,67960,-1,549841,-1,-1,438020,338664,-1,69627,-1,-1,368355,-1,-1,-1,-1,826792,-1,-1,-1,659081,-1,-1,-1,-1,-1,653120,869453,378650,141978,-1,-1,-1,986277,-1,706446,204223,454535,112717,-1,464597,20465,693185,-1,-1,-1,671507,898330,-1,-1,999981,-1,874001,-1,-1,302094,-1,963468,-1,48794,-1,676959,-1,211062,-1,850160,-1,-1,-1,-1,132840,-1,559291,-1,768447,94178,-1,-1,863789,-1,534179,146140,452257,994647,913621,-1,228035,-1,589654,241190,659750,-1,554658,639612,-1,291518,809202,596603,-1,694357,-1,376947,-1,-1,995445,-1,292873,112066,3426,952453,-1,-1,-1,629771,544675,395023,-1,-1,-1,-1,-1,913361,-1,-1,737488,418334,-1,129579,-1,348687,879178,300255,-1,64226,414291,-1,410268,895135,890720,662612,444809,344545,509743,-1,441340,-1,730063,731206,437206,38602,788302,162658,-1,578404,211268,387606,131409,958079,-1,598588,876403,400021,-1,739629,768626,256495,-1,666209,-1,-1,-1,163385,-1,-1,-1,-1,-1,-1,-1,452036,983139,473945,-1,785919,385493,314645,947011,384212,941158,610254,-1,837050,684704,571386,699633,781465,846869,313101,353443,63797,689758,-1,192974,-1,-1,-1,45269,775002,-1,-1,-1,396212,193022,-1,-1,190117,503693,-1,-1,816689,72146,-1,200453,348354,832303,960639,198226,675075,-1,699860,-1,319411,-1,-1,-1,378507,891317,-1,465945,-1,766934,-1,404327,-1,-1,-1,197571,-1,884805,914258,-1,-1,-1,-1,841981,700650,-1,892906,133747,-1,255916,-1,888290,-1,-1,-1,-1,-1,-1,-1,-1,-1,197140,-1,-1,-1,-1,287616,287713,624500,-1,-1,491407,323693,-1,-1,-1,-1,626994,212746,-1,397438,550815,-1,17098,-1,-1,-1,431728,917239,-1,-1,239345,-1,472215,355727,-1,-1,-1,-1,-1,129455,730380,-1,191715,397554,-1,-1,-1,823414,760481,-1,-1,-1,-1,-1,521208,219567,869615,248688,713307,698921,-1,-1,203899,312688,961473,170340,-1,-1,-1,353324,-1,-1,-1,-1,228760,671705,-1,276046,952091,599421,-1,557446,-1,81545,-1,964960,-1,168953,-1,557740,322281,856258,231212,-1,838716,820297,-1,-1,-1,-1,610780,-1,-1,210304,547346,14440,-1,749484,851516,209644,242880,637462,803436,656878,-1,-1,-1,-1,422794,-1,852224,-1,-1,-1,571873,-1,-1,40201,288936,125624,939848,-1,-1,21103,-1,-1,934092,-1,125218,695676,-1,443811,860517,-1,285367,-1,-1,-1,-1,959910,16120,376588,518458,-1,491043,497387,-1,710604,-1,138262,688694,64977,-1,730491,-1,-1,359346,-1,-1,-1,-1,-1,-1,68925,-1,-1,-1,-1,880742,-1,-1,-1,-1,74751,717415,-1,107704,571880,-1,134096,-1,-1,772419,60183,-1,-1,-1,656797,-1,-1,435092,-1,-1,270358,-1,56786,-1,523894,927496,-1,-1,-1,325163,-1,176695,-1,871297,88661,-1,-1,310910,-1,470209,-1,-1,-1,-1,693338,-1,552972,88430,6193,16606,565782,263087,544085,250940,354233,-1,231274,-1,712279,-1,564346,466687,628888,-1,421584,67881,95910,551666,290249,726081,-1,-1,-1,178113,-1,-1,198351,313475,911375,-1,-1,-1,615021,-1,384609,839531,58324,975770,-1,800839,-1,-1,-1,-1,-1,215965,-1,-1,-1,856576,-1,-1,-1,-1,196573,-1,854681,168964,-1,354638,767883,-1,804720,-1,854045,530612,126683,661198,992270,893226,536221,558958,-1,-1,443457,856298,-1,731682,73494,265135,825785,906189,-1,-1,-1,-1,-1,-1,45949,28903,-1,-1,-1,-1,-1,143181,-1,943895,-1,-1,-1,-1,-1,-1,383676,-1,784619,-1,904706,-1,785796,-1,849267,-1,-1,-1,867760,358398,406337,-1,566469,137080,472264,-1,310331,-1,-1,532713,-1,-1,995155,7560,850558,-1,550934,-1,-1,970778,-1,113840,-1,294712,-1,-1,-1,-1,-1,307242,786524,740515,-1,182621,893259,-1,247567,-1,-1,374501,644936,-1,577342,-1,176800,18436,-1,-1,293112,-1,-1,-1,-1,-1,485196,-1,327583,608591,244133,-1,-1,389711,-1,-1,-1,77024,624250,279404,713531,954151,475436,-1,101834,-1,-1,-1,-1,231355,-1,-1,-1,-1,-1,984835,966409,-1,-1,202480,-1,-1,-1,-1,464566,-1,666641,-1,-1,700590,45164,-1,194396,554492,81230,-1,-1,-1,-1,-1,-1,-1,-1,-1,496975,701676,-1,705968,750403,3452,540748,999366,-1,952838,436773,440973,-1,993609,-1,-1,-1,-1,61915,316245,158657,101271,895841,-1,786402,-1,38201,-1,173599,707941,-1,360827,366490,122426,-1,946857,942246,618949,-1,-1,-1,996458,663122,832516,534692,220019,445290,-1,406309,545884,877692,-1,-1,814091,482556,430751,-1,-1,-1,608239,171888,804934,84249,750239,142104,733394,447117,-1,-1,920509,-1,-1,-1,196501,-1,-1,-1,729395,303522,-1,-1,206242,-1,-1,362274,-1,-1,518298,401112,-1,-1,512866,935202,308131,385767,-1,756000,-1,-1,589774,-1,-1,353646,646584,-1,796648,902365,-1,679355,-1,569581,-1,606809,349123,256629,948351,680216,729703,947159,-1,337820,349233,-1,238205,484399,-1,-1,35314,-1,510916,233638,-1,502798,766012,-1,-1,-1,333644,475130,-1,747783,816438,-1,154842,-1,-1,514374,-1,874558,176499,276765,-1,-1,203407,-1,-1,-1,747212,-1,221763,996357,554027,466247,260670,799504,-1,-1,21153,-1,-1,-1,-1,779623,-1,-1,-1,749721,-1,-1,-1,-1,-1,-1,-1,-1,255425,-1,924452,456670,-1,-1,514347,921042,-1,700600,676807,951449,906206,515771,549291,192109,-1,-1,416503,-1,-1,-1,-1,-1,173612,162358,-1,-1,-1,611310,684614,-1,-1,-1,500265,-1,-1,-1,-1,-1,-1,-1,-1,913570,-1,502953,-1,-1,992291,-1,55082,-1,-1,-1,-1,-1,986693,32145,-1,-1,-1,643441,-1,-1,400926,-1,786047,-1,212420,358410,-1,-1,-1,-1,-1,-1,-1,940583,695466,247061,-1,870005,944933,366174,654768,324403,-1,564821,-1,304798,-1,122285,479004,-1,-1,484385,820133,-1,-1,-1,175178,-1,571736,-1,-1,43916,621605,83936,218494,-1,562351,77673,-1,-1,356589,-1,-1,-1,800592,669539,545592,-1,911495,-1,575276,-1,112246,800228,326268,339199,234681,544304,603021,-1,785013,241197,759171,-1,-1,-1,271274,-1,-1,-1,254749,879309,96222,506754,348989,-1,-1,-1,246086,253467,673825,177817,898214,-1,-1,385674,738988,711171,-1,-1,754797,877295,316959,85971,-1,-1,872743,263613,579942,-1,-1,-1,686907,645639,-1,-1,398074,-1,-1,-1,444054,-1,350284,808589,-1,-1,447244,-1,341055,-1,-1,-1,-1,-1,-1,817946,-1,820264,-1,214521,24857,884688,452502,-1,-1,490462,138547,683686,725196,304929,246446,675003,782835,-1,-1,374545,-1,295849,514063,-1,968419,312550,86485,-1,706137,355807,593648,-1,159176,-1,5338,181770,-1,604263,634721,-1,-1,637671,827660,43762,-1,-1,-1,508921,907876,18600,-1,994445,-1,891579,-1,-1,789999,-1,602574,-1,387722,-1,812661,149667,933035,329265,-1,-1,-1,138339,-1,944369,374413,373172,-1,-1,-1,277711,-1,695789,838614,240565,628014,107119,-1,849841,-1,13324,646871,47935,270138,75914,837679,903453,-1,-1,-1,412434,-1,630830,-1,-1,609387,648788,-1,-1,-1,366460,-1,232070,272831,328929,-1,257236,767431,-1,120253,690585,-1,-1,-1,-1,-1,-1,619932,568688,-1,324986,-1,-1,-1,749291,-1,155624,293507,-1,516339,-1,530775,-1,435575,-1,42068,68928,-1,143565,-1,627239,942407,-1,706443,-1,-1,639783,-1,742308,-1,-1,3927,-1,354633,-1,61924,-1,-1,-1,-1,-1,757340,-1,-1,-1,551851,-1,968900,-1,652386,-1,53310,-1,237846,-1,-1,-1,-1,153559,-1,-1,-1,-1,-1,514156,979647,-1,358745,110601,-1,533824,-1,754995,-1,331530,-1,409076,119588,986303,368658,302280,-1,-1,563945,-1,-1,902325,347336,716363,816096,-1,-1,491461,-1,-1,-1,-1,374782,763299,-1,354906,-1,680962,-1,-1,990909,-1,-1,196172,966051,564057,-1,-1,-1,-1,-1,-1,7315,238218,611661,-1,-1,487437,555834,-1,-1,-1,394573,357998,349518,-1,-1,784565,-1,124636,25078,-1,-1,-1,69201,903004,-1,-1,620122,-1,976624,321732,556419,-1,-1,-1,-1,972547,568898,605190,127617,-1,324911,-1,-1,-1,926158,-1,407968,-1,592371,-1,968550,193605,619562,190471,-1,-1,-1,-1,-1,701172,-1,921175,343166,-1,-1,-1,-1,-1,654184,385644,182321,454416,975087,446176,-1,433433,-1,-1,-1,447119,-1,993661,278736,121272,-1,97217,-1,-1,-1,-1,-1,-1,-1,-1,911965,839546,-1,521316,678424,68724,244906,-1,224578,-1,-1,140328,822987,813518,297556,-1,-1,-1,-1,727315,-1,913753,-1,198049,464925,872676,312590,760932,-1,-1,590552,-1,-1,922417,-1,924956,382263,-1,123109,-1,476833,-1,707235,-1,-1,96603,-1,-1,-1,-1,-1,509765,953339,760786,-1,370564,-1,867033,282922,-1,-1,961308,604442,313040,676160,417819,-1,365712,-1,-1,-1,834845,-1,714354,-1,737980,-1,138801,-1,87305,332176,-1,-1,-1,668536,-1,938318,-1,-1,168574,-1,-1,-1,351799,354520,13940,-1,-1,352405,-1,973843,315131,-1,-1,-1,4829,-1,-1,-1,69080,608746,409536,50851,760205,435564,-1,113652,-1,-1,-1,-1,-1,-1,9381,222994,548016,280035,606219,-1,-1,30717,-1,-1,-1,307361,658622,388989,334098,38190,273513,-1,120874,57569,-1,139813,540873,-1,-1,-1,614387,-1,-1,-1,-1,656989,390838,810127,412407,-1,-1,665036,805622,22727,722585,756828,-1,357073,491808,-1,-1,315454,-1,-1,-1,805953,932633,149494,-1,-1,581214,501989,-1,966052,-1,70287,-1,-1,93680,537655,86374,-1,298114,936794,-1,960057,474029,-1,763947,690761,-1,271191,663785,-1,-1,-1,-1,-1,859868,130603,619442,787804,379426,853440,493637,-1,-1,495036,778310,670168,-1,850677,425947,525367,683591,-1,379268,-1,374491,-1,-1,210090,879761,5159,851762,-1,969144,-1,176619,965208,597268,195699,-1,39542,-1,315841,-1,-1,-1,-1,22269,-1,476123,542978,547886,870961,-1,-1,-1,132181,386313,-1,956087,-1,-1,242352,-1,-1,-1,736636,280927,-1,-1,-1,-1,-1,590673,-1,-1,153985,179267,-1,142301,-1,382906,290216,-1,755632,-1,987099,-1,741152,60525,-1,322111,755998,851258,895179,118679,-1,972224,-1,-1,-1,-1,-1,-1,-1,-1,42562,-1,980848,-1,437477,-1,413625,-1,967836,280271,-1,-1,77295,932216,958190,-1,279969,-1,491092,12559,-1,888737,162316,-1,-1,829824,-1,425488,830512,-1,-1,474776,387081,538173,-1,-1,-1,415558,683948,-1,940568,-1,-1,-1,732007,121220,297695,738588,256312,-1,-1,-1,-1,-1,28233,678436,-1,860931,-1,266124,22868,-1,121717,608382,624291,-1,-1,775574,931214,181056,-1,-1,31451,-1,705632,-1,569023,451449,-1,316920,-1,480351,-1,41966,924748,172357,-1,534645,643274,-1,-1,-1,37250,999183,-1,394190,-1,753623,496495,-1,-1,665579,-1,-1,-1,640840,-1,673314,854287,-1,724366,-1,848058,181585,-1,-1,-1,63551,200006,-1,751146,-1,-1,340659,-1,68394,843328,-1,643018,569849,643277,-1,-1,105567,989261,441109,-1,-1,-1,499046,917527,333247,810183,-1,-1,-1,955321,-1,-1,950831,449500,31984,221238,312689,-1,-1,-1,-1,-1,-1,-1,457620,-1,649410,-1,-1,120635,417885,-1,252423,127165,771697,-1,-1,348148,-1,245087,-1,373328,655142,-1,-1,579862,542535,-1,-1,878121,427557,279321,578244,-1,-1,-1,83284,431920,604960,94230,-1,-1,-1,-1,-1,575264,-1,-1,-1,-1,-1,-1,-1,-1,-1,76397,-1,199427,-1,94331,771731,303443,-1,-1,-1,-1,-1,-1,579402,-1,542457,-1,-1,820871,259737,377309,-1,825142,-1,-1,68995,503707,-1,891596,419258,-1,518471,-1,-1,372562,-1,501723,-1,81876,246375,-1,140658,-1,283074,-1,199936,560452,-1,75316,887354,90200,-1,-1,786423,-1,-1,75298,940872,-1,56569,919762,-1,-1,-1,-1,-1,93003,-1,-1,-1,-1,847784,-1,-1,-1,-1,-1,503786,-1,-1,-1,12587,43351,-1,788259,-1,721227,-1,-1,37494,-1,-1,-1,-1,249853,-1,191176,271444,-1,-1,397489,509467,609253,-1,-1,633798,647806,796386,-1,-1,-1,699320,756909,-1,-1,-1,-1,573074,-1,420333,944890,-1,-1,315599,-1,518591,248376,-1,-1,894415,329209,178923,-1,941393,644333,-1,-1,-1,-1,-1,-1,-1,467666,489219,-1,-1,803048,-1,-1,-1,503248,-1,859355,-1,13240,953803,946966,204300,419398,356926,-1,367069,-1,-1,-1,-1,494934,351437,-1,-1,682337,-1,131111,-1,730039,-1,-1,147756,-1,-1,-1,-1,941473,-1,-1,-1,436139,978666,66348,808800,704982,-1,-1,-1,-1,780961,968796,-1,-1,144111,48753,-1,816922,-1,-1,-1,44534,105327,762210,-1,422562,915216,56111,815489,718358,-1,-1,858132,817615,-1,600055,-1,443238,-1,113828,-1,921885,157156,-1,-1,536209,228137,-1,-1,211118,-1,-1,462630,140708,-1,47536,-1,349031,-1,-1,117724,-1,-1,-1,-1,-1,364187,-1,-1,303329,986041,-1,829892,-1,64090,-1,-1,-1,474035,-1,-1,-1,531460,-1,50311,993153,787155,-1,61298,615570,-1,469396,-1,609291,90,343156,-1,-1,-1,-1,714716,-1,819182,-1,-1,415560,-1,597973,-1,-1,-1,146052,48353,947388,-1,-1,693523,-1,744016,-1,-1,-1,-1,342353,189305,-1,811871,-1,-1,123709,-1,-1,-1,474415,-1,-1,-1,-1,990908,-1,-1,-1,825355,176586,195279,674596,-1,-1,-1,838971,-1,-1,-1,-1,-1,-1,-1,911370,638575,-1,849282,186608,408723,901742,107782,573964,-1,250485,-1,128517,-1,-1,91748,743530,-1,192980,655405,-1,-1,-1,-1,674709,989347,66340,-1,46487,-1,400373,-1,-1,-1,534468,-1,-1,914310,-1,856055,479227,660901,-1,-1,49203,606997,752244,180071,-1,882460,145562,-1,-1,270005,526318,-1,904735,-1,-1,215272,-1,181808,399874,254516,-1,-1,252342,-1,-1,644179,-1,-1,351782,492446,-1,-1,-1,-1,-1,-1,84115,-1,-1,13256,-1,513902,507031,933526,-1,314763,-1,-1,301895,215545,806698,509986,-1,69773,23051,-1,-1,-1,-1,-1,-1,-1,738946,499438,376201,-1,265712,-1,448376,-1,309993,833524,-1,-1,284331,446126,403087,-1,400027,-1,16556,-1,-1,-1,-1,-1,-1,939106,-1,959008,990608,521571,-1,739134,-1,835422,305599,188994,483955,716318,-1,-1,-1,954917,464379,-1,535627,-1,156716,533773,-1,405210,472961,766272,-1,672897,-1,738886,-1,-1,862362,780009,433762,119247,334823,-1,899868,-1,638205,-1,446982,965546,-1,583263,643338,-1,329728,-1,728904,641085,623564,969642,633568,-1,-1,348478,837772,259096,-1,604009,-1,451565,-1,781141,-1,-1,171232,-1,264204,760512,-1,-1,-1,824297,328786,769381,652816,934158,-1,351685,891142,-1,406661,410446,21558,-1,-1,-1,-1,-1,693733,-1,213611,-1,-1,616666,-1,-1,413828,552796,377874,-1,-1,-1,752860,-1,7802,-1,-1,304425,939200,691703,510552,536214,303789,-1,102845,-1,567945,727167,-1,-1,19235,-1,-1,-1,-1,733516,786684,511971,432082,34080,716034,-1,-1,-1,-1,364964,794978,650414,-1,-1,-1,-1,-1,-1,-1,701227,406062,183163,652095,-1,-1,-1,928427,-1,691945,96887,-1,-1,-1,-1,-1,322856,-1,-1,-1,-1,626263,310602,367215,24251,131724,841277,-1,-1,-1,-1,386498,-1,841771,-1,-1,-1,-1,190428,770559,18942,994448,-1,-1,324572,290421,216171,796773,-1,-1,626760,692679,-1,732466,338881,614299,947075,-1,232384,214793,-1,-1,118505,626806,552517,186097,116054,-1,219043,-1,613140,-1,-1,-1,240107,-1,-1,920480,-1,479808,715212,322419,-1,-1,-1,843986,-1,205394,-1,471864,-1,211647,952951,-1,-1,601246,-1,-1,551125,-1,-1,-1,437332,-1,673559,822567,-1,-1,88270,-1,749126,-1,-1,-1,-1,667459,575029,610898,742138,571934,606760,166610,704706,-1,-1,607762,-1,687370,-1,-1,-1,-1,-1,-1,691473,-1,399442,-1,69433,719981,-1,233658,628447,201736,479083,-1,148087,-1,-1,359950,524158,309153,947156,-1,-1,942781,-1,-1,933841,-1,356063,-1,423971,-1,332145,801221,-1,193500,-1,459478,-1,-1,-1,-1,469660,-1,702126,-1,-1,-1,-1,-1,-1,-1,389633,600135,-1,441946,-1,-1,611208,-1,3498,330454,843849,340815,-1,-1,-1,401161,677339,371004,-1,-1,-1,-1,434350,-1,608329,-1,17637,159032,-1,455914,-1,523998,-1,-1,-1,-1,789292,-1,-1,-1,648816,564812,219019,425433,-1,-1,-1,-1,-1,-1,250397,-1,-1,756882,545311,-1,-1,-1,-1,-1,-1,704663,70655,-1,-1,234060,-1,323743,-1,-1,-1,502436,913157,-1,-1,258704,-1,218226,148773,936720,-1,566228,-1,4175,-1,24983,344987,926380,-1,-1,898130,-1,895035,101581,-1,-1,480743,753975,-1,-1,-1,-1,627523,-1,-1,-1,404835,-1,-1,712647,761706,-1,-1,-1,-1,-1,673732,731199,761564,877623,-1,-1,-1,470930,506689,518402,301132,157898,-1,461450,89344,-1,973996,-1,669153,-1,-1,-1,-1,-1,766624,592652,267361,-1,832086,-1,719355,859976,-1,668264,341102,884868,687092,304880,-1,-1,666776,-1,303018,585231,138538,-1,864451,32344,270513,657054,533043,-1,660731,-1,-1,481269,184915,-1,-1,733470,218385,-1,-1,678831,-1,683478,-1,683646,-1,-1,-1,92761,-1,-1,-1,-1,-1,880801,-1,73963,582083,127339,316039,947316,-1,434525,-1,-1,635852,621785,807810,515719,350626,547591,216882,-1,155145,-1,245388,-1,-1,-1,-1,636982,609566,830116,-1,-1,-1,-1,275534,-1,209245,-1,390115,807720,783383,-1,-1,220332,880242,-1,602600,-1,403000,154063,159147,598977,-1,656940,-1,-1,-1,314312,-1,531923,-1,60364,590388,-1,-1,-1,832110,927175,-1,846229,16548,173273,443547,-1,-1,-1,843461,889187,113382,375154,-1,335999,803850,413416,-1,-1,-1,-1,631689,958193,470874,-1,-1,236714,-1,-1,526680,-1,-1,830830,-1,-1,-1,205683,-1,-1,385852,-1,197412,-1,699573,827168,403279,-1,-1,399774,-1,4043,257536,516332,-1,-1,-1,-1,621905,-1,-1,-1,-1,239768,113363,-1,-1,199772,-1,-1,-1,-1,22852,429380,521207,574493,-1,-1,257655,-1,-1,-1,515673,-1,-1,-1,567415,-1,-1,-1,356281,770090,-1,555930,-1,680456,655331,-1,650638,408461,-1,743049,165936,-1,725923,811093,1883,710174,937270,721739,252661,-1,-1,914341,-1,-1,279293,213049,112515,-1,-1,877989,267523,-1,97321,81901,-1,260369,33012,-1,252682,909642,-1,858779,257533,166380,-1,-1,-1,160671,-1,-1,793578,148965,582383,-1,98257,-1,-1,-1,-1,880743,-1,891852,-1,854748,-1,-1,-1,-1,462758,-1,966314,412006,-1,650180,-1,966624,426905,-1,-1,406061,502952,553382,-1,433435,-1,880728,-1,346682,177931,867054,415563,856184,207742,456868,-1,938517,-1,-1,-1,-1,-1,-1,-1,-1,162280,-1,875742,-1,-1,-1,-1,-1,-1,709537,-1,417559,-1,306078,553490,-1,433037,-1,192634,-1,604601,533169,-1,-1,-1,545335,-1,-1,639744,-1,113089,542162,947085,924047,-1,-1,-1,892116,431895,-1,847117,418437,-1,-1,-1,-1,583243,-1,539162,316948,-1,-1,-1,-1,722910,-1,-1,-1,-1,175607,-1,-1,-1,-1,376236,196881,593786,-1,-1,38632,-1,305732,-1,-1,-1,159199,690617,-1,902880,962842,-1,-1,-1,-1,925403,796256,-1,-1,778681,935011,-1,728684,-1,-1,279056,-1,984718,768072,654273,-1,120575,488717,121794,650636,-1,65543,-1,300131,723386,-1,661907,-1,743507,-1,416586,691292,-1,129712,633541,153916,-1,-1,-1,20006,492988,989850,-1,479543,106738,-1,374023,-1,58473,-1,51656,-1,-1,899379,-1,528054,-1,-1,4044,-1,928221,613051,-1,590044,-1,-1,-1,252995,689490,450580,-1,-1,-1,732152,-1,941431,-1,-1,686206,644098,-1,-1,-1,290015,-1,68727,849295,-1,667739,359777,84927,512156,-1,62431,-1,-1,92550,-1,-1,-1,712030,428433,647769,492313,-1,261146,-1,184192,103036,-1,-1,-1,-1,-1,-1,-1,-1,83232,87255,-1,-1,4614,768125,-1,441779,-1,-1,-1,-1,895084,64224,-1,-1,785848,592568,-1,-1,-1,84586,-1,-1,620345,702855,-1,812053,800163,-1,202859,-1,-1,886705,-1,-1,154823,-1,202594,-1,790278,284135,372699,492700,-1,377111,-1,-1,749043,722154,-1,727722,167771,279948,-1,754050,-1,525402,-1,74080,-1,851051,659445,873055,635656,-1,-1,-1,914167,448590,-1,29943,-1,-1,-1,-1,955208,-1,827626,245242,-1,553972,368513,-1,426306,322847,-1,893418,-1,481283,528246,-1,-1,-1,892579,763322,577911,-1,218468,-1,5472,725469,776030,405372,-1,593856,-1,349606,849778,452181,504493,-1,-1,20003,-1,311807,-1,-1,-1,-1,-1,787820,245278,527503,-1,74593,655308,690621,-1,-1,160601,-1,-1,412596,808542,907736,-1,-1,691539,-1,584058,883586,418720,-1,241034,-1,-1,-1,167866,-1,89859,-1,-1,303708,-1,-1,-1,268071,461437,-1,64919,-1,16558,-1,514678,-1,259547,-1,-1,-1,-1,-1,-1,841496,866875,-1,-1,896809,48472,-1,916587,-1,-1,-1,163177,863642,798209,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,99011,507356,133185,-1,-1,471965,-1,858708,-1,874055,475871,787667,-1,-1,505157,-1,-1,658915,300719,653802,716681,314666,-1,-1,546838,-1,885990,1166,-1,-1,252380,-1,-1,458039,742536,-1,983174,935613,-1,-1,819208,703830,274554,908494,-1,-1,845914,-1,412112,423403,763428,247060,-1,875688,302660,-1,269683,-1,-1,773302,-1,712957,-1,-1,99706,521400,-1,914797,698005,-1,-1,727994,462718,-1,-1,-1,-1,-1,931200,584743,-1,-1,-1,927206,-1,381841,-1,243050,86425,-1,730134,-1,291574,756117,793046,971095,-1,-1,736992,-1,-1,549206,-1,-1,-1,515459,39459,466491,940577,-1,-1,-1,8850,773399,-1,-1,388623,386952,694805,-1,405993,308187,765205,387105,-1,290472,927573,-1,-1,-1,-1,973860,164657,-1,-1,177380,382441,-1,-1,-1,-1,-1,-1,691001,688228,299561,-1,-1,-1,693145,503297,155423,-1,-1,359977,-1,-1,-1,-1,47742,-1,-1,-1,-1,-1,-1,-1,462743,-1,-1,965645,-1,-1,798877,560991,-1,470435,-1,572202,-1,36289,-1,330719,779863,-1,635987,998274,-1,-1,187121,862819,819296,561293,-1,97829,229088,-1,-1,-1,281813,509398,-1,573697,247542,-1,-1,-1,-1,266875,-1,-1,826866,61897,341711,-1,404189,875557,438879,-1,772556,625876,-1,655975,387780,-1,-1,177411,875996,350581,112604,887752,803557,208428,-1,-1,641579,146804,-1,-1,880651,310581,767974,-1,851294,-1,798061,-1,-1,370518,566627,-1,-1,-1,985612,-1,450383,-1,-1,-1,-1,15492,-1,286051,93327,559468,273524,-1,-1,-1,892944,-1,529390,764200,25115,64567,-1,-1,979436,-1,946837,43121,-1,978654,-1,468295,461317,553557,-1,-1,64623,-1,-1,-1,479794,-1,-1,280730,418544,208854,-1,-1,-1,-1,-1,-1,-1,-1,923358,-1,490743,404722,-1,812492,152076,-1,701848,-1,84599,861512,125303,828984,410763,-1,829262,-1,-1,-1,283442,496481,317499,-1,733409,-1,-1,-1,991053,-1,-1,31551,-1,916903,-1,-1,734150,-1,381902,833382,-1,386104,401555,-1,142127,-1,380176,-1,339635,-1,27107,132727,-1,-1,426389,749755,170248,314037,-1,-1,-1,-1,-1,186095,256340,-1,806369,272420,-1,-1,-1,246078,641644,-1,-1,-1,610605,-1,51318,-1,699656,901730,335172,-1,-1,538462,975552,-1,874947,-1,-1,-1,666126,979158,-1,6593,516963,-1,-1,-1,122144,222119,-1,905187,76989,-1,-1,-1,134996,917658,-1,243482,-1,303297,-1,-1,267450,408018,622880,24584,-1,-1,-1,191114,295493,230073,-1,-1,15512,945546,-1,-1,-1,908793,144508,788012,126407,22378,-1,565017,-1,898462,197392,335610,-1,-1,933763,959162,467156,221593,-1,854586,-1,380089,677104,-1,685534,315726,-1,-1,-1,703232,419158,850964,442014,-1,-1,-1,-1,-1,826632,885994,-1,-1,487304,718205,501765,743792,796922,856508,528256,-1,832923,193779,154906,885929,-1,-1,923507,-1,-1,647727,947676,635118,-1,381161,932367,-1,-1,-1,-1,-1,974692,-1,-1,-1,475906,883027,420339,-1,408925,-1,-1,-1,-1,888968,-1,-1,-1,963088,408525,-1,-1,201808,708848,803686,-1,-1,-1,669157,-1,820982,-1,-1,-1,-1,-1,217471,451475,979141,345390,-1,992420,283817,-1,258262,954772,-1,647742,-1,-1,-1,-1,-1,-1,-1,-1,80509,175454,-1,-1,138277,583744,-1,-1,969466,987940,-1,783063,672101,634762,-1,269766,69377,113914,200551,272724,-1,235089,590214,-1,-1,113982,258598,-1,-1,100692,876669,965156,151501,681787,-1,881149,207658,-1,936514,25838,-1,-1,-1,-1,33608,914896,-1,744455,376357,43100,-1,-1,-1,-1,475230,-1,-1,912085,493046,-1,475100,-1,-1,985828,-1,-1,-1,-1,-1,561724,-1,729887,-1,615028,-1,-1,321663,923831,-1,547128,53859,-1,-1,-1,-1,252095,24701,595814,-1,-1,-1,591600,-1,-1,-1,31240,721835,867355,584044,-1,696241,40618,752985,-1,519060,-1,61496,-1,-1,-1,-1,953166,891747,-1,337825,-1,-1,66585,-1,742227,88718,250408,-1,-1,202821,-1,-1,-1,523618,-1,-1,502975,776218,-1,-1,152998,-1,-1,-1,-1,-1,-1,-1,425362,992456,108834,764965,427275,-1,715848,456383,495467,703650,-1,-1,920368,971102,663500,448858,-1,765981,444125,-1,-1,396289,-1,-1,125318,941534,-1,818696,468186,-1,216081,65886,-1,206911,-1,960978,-1,-1,852003,590070,542219,-1,676982,692624,-1,-1,-1,-1,-1,-1,579947,-1,573780,-1,-1,344022,-1,416151,-1,453019,282309,-1,-1,-1,-1,587749,-1,901592,-1,65619,786755,-1,-1,780616,354134,-1,-1,182295,-1,936853,-1,-1,-1,-1,-1,279444,803390,-1,212388,-1,443919,296527,640276,546919,-1,957217,232153,-1,870762,446188,182945,309122,606414,-1,-1,-1,994476,-1,780613,335070,-1,656313,-1,162518,908335,288031,386282,-1,820562,-1,-1,-1,-1,-1,873376,256593,-1,-1,-1,975416,-1,868566,-1,-1,739327,-1,-1,-1,146535,-1,767826,308243,-1,-1,316681,855275,633730,-1,-1,113293,690543,725632,725018,-1,-1,-1,277538,977210,612415,-1,-1,-1,-1,-1,654798,587839,-1,-1,-1,296658,-1,-1,-1,-1,-1,778200,-1,-1,26287,-1,203994,-1,112623,-1,-1,-1,963356,-1,369403,668769,863984,170805,-1,-1,-1,136587,-1,566372,411732,732088,-1,236931,-1,587624,157334,-1,-1,-1,-1,105739,-1,-1,-1,-1,966228,-1,-1,577743,399563,343382,-1,-1,-1,-1,-1,-1,-1,8142,830913,613686,13093,641650,425401,-1,-1,-1,338915,196565,974447,126176,-1,-1,-1,-1,-1,201384,643383,577502,-1,990886,495676,-1,-1,370457,-1,685096,-1,58502,-1,665963,552039,-1,-1,103003,-1,438300,-1,398212,-1,-1,-1,-1,-1,-1,11171,770479,-1,-1,-1,-1,-1,670993,-1,-1,399185,91434,-1,-1,271967,564154,360018,-1,640601,910788,3608,86326,-1,-1,257425,-1,720290,946304,487748,-1,37548,200511,-1,-1,-1,859806,852854,-1,-1,-1,-1,-1,-1,948348,-1,-1,986332,994930,852967,866647,31689,218583,-1,44508,-1,-1,734422,42710,-1,-1,799491,-1,226319,720369,819521,402556,-1,86838,-1,-1,456734,816620,538322,-1,-1,794565,-1,897870,-1,656574,-1,57432,231630,-1,30874,28573,-1,962417,-1,452326,261087,59664,580417,-1,81847,-1,129951,-1,-1,556236,-1,377161,-1,39944,390365,862420,641111,-1,946612,-1,58234,-1,-1,-1,915704,-1,-1,-1,755898,-1,-1,-1,704906,-1,-1,909994,204003,929964,783784,421826,968841,215584,120370,-1,-1,-1,301125,-1,882841,949078,281281,10586,204109,-1,325341,-1,263819,-1,-1,748037,-1,495972,670132,-1,-1,902659,760154,-1,105375,971748,612342,417336,-1,-1,-1,703436,969878,207812,-1,-1,443083,586167,-1,-1,-1,-1,367377,-1,-1,-1,801092,-1,-1,-1,-1,123385,502743,-1,-1,-1,597264,-1,790740,84235,168839,497996,641125,227099,-1,-1,629267,963898,-1,-1,-1,189460,794065,521646,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,360888,991148,-1,-1,-1,554115,531424,-1,798224,311105,-1,-1,531770,-1,525235,931467,571917,214923,712538,909547,246312,-1,-1,244148,-1,-1,-1,-1,148110,671268,995774,-1,-1,51482,-1,-1,-1,574295,907545,355294,-1,341413,238633,-1,160821,-1,-1,473476,865313,-1,-1,373278,306482,-1,-1,-1,498637,675104,31674,-1,400253,746996,-1,-1,762794,-1,-1,936561,432017,-1,760908,917695,-1,488906,-1,-1,296202,-1,239371,-1,38879,-1,-1,106724,-1,163690,-1,456242,-1,492030,354162,674281,249157,209119,20303,-1,-1,653996,-1,108668,-1,-1,209945,861541,-1,219027,221643,-1,-1,-1,421795,880473,-1,-1,-1,-1,-1,938505,-1,-1,110866,-1,-1,136593,874896,956630,599162,786796,-1,-1,-1,-1,-1,-1,869966,-1,-1,-1,-1,-1,-1,632072,-1,747359,-1,588081,626356,607923,253627,507966,-1,-1,-1,-1,799806,-1,-1,-1,-1,407271,-1,-1,-1,26252,-1,49237,325818,500615,137971,731898,-1,666189,533056,-1,-1,421741,-1,-1,-1,-1,634649,940277,256162,41042,918990,-1,332650,-1,-1,-1,-1,-1,20102,-1,63167,-1,-1,20004,821466,359797,-1,300903,903164,470981,-1,914349,553762,128189,718203,857369,-1,954981,921006,-1,-1,547056,-1,729632,-1,-1,-1,38468,627234,439542,391928,267894,-1,123330,-1,23516,-1,719593,734167,147043,-1,311645,-1,-1,-1,323620,516000,-1,539553,-1,788296,-1,966475,687026,597486,-1,-1,367287,-1,766169,-1,-1,-1,-1,168346,-1,-1,-1,-1,-1,222777,142381,-1,657476,988844,-1,509111,-1,346272,905712,-1,-1,-1,-1,177036,-1,266938,649046,835480,828190,653429,-1,174630,-1,-1,-1,379955,873768,601480,505837,204527,406684,-1,-1,-1,-1,-1,590563,-1,-1,-1,610319,-1,-1,-1,634223,-1,224692,-1,962151,550787,382926,321307,947605,343469,176501,12754,-1,-1,-1,597433,296305,-1,303915,764332,-1,65508,59830,-1,-1,-1,-1,465574,487401,-1,747692,-1,-1,-1,87647,-1,962503,-1,-1,507268,-1,-1,-1,-1,629401,964527,666285,-1,-1,215881,-1,-1,-1,-1,377375,-1,-1,137694,427681,901099,342654,685897,-1,165510,769457,453467,-1,193559,932261,-1,306432,-1,-1,461492,-1,-1,-1,994588,279359,-1,45136,830242,-1,416722,603630,512533,318342,413889,916384,33386,801296,-1,-1,-1,-1,37373,-1,233743,-1,522262,-1,-1,-1,-1,-1,-1,769640,287273,2317,-1,-1,-1,91427,-1,871828,466114,-1,-1,98842,620535,263827,850205,-1,179603,638984,-1,767799,856264,-1,460700,-1,-1,-1,598341,-1,403639,997465,-1,-1,376336,914373,556283,-1,206046,-1,864542,-1,148768,-1,-1,869082,-1,780434,-1,114260,-1,-1,-1,651262,862934,-1,820949,542522,-1,-1,439607,915154,507951,-1,-1,782429,400559,444740,95237,-1,43809,-1,-1,357986,410955,-1,81297,503023,906406,-1,768560,-1,209213,947549,-1,-1,803428,227966,-1,33655,628206,-1,801903,-1,-1,749580,176537,-1,-1,727033,24240,-1,554913,-1,-1,-1,66766,-1,-1,755023,-1,411257,655335,516403,562860,132857,-1,-1,618637,585290,613176,-1,126381,586942,661694,-1,229205,213761,215408,964100,-1,254795,-1,367054,104882,-1,-1,239424,663542,-1,-1,-1,98779,122186,585603,56366,842506,460809,-1,661014,302971,481923,-1,878014,267029,255534,990230,-1,-1,-1,-1,136757,-1,-1,474694,269926,-1,295349,18692,-1,271168,-1,-1,639974,760902,5113,890102,-1,-1,-1,632838,-1,-1,-1,341624,175514,819921,296646,242869,689698,-1,-1,-1,843961,703325,-1,-1,966162,269724,351822,-1,-1,31228,359543,-1,-1,-1,-1,715634,98421,-1,515555,54408,-1,549819,-1,-1,-1,-1,26300,422703,-1,495596,-1,741639,-1,-1,-1,-1,-1,-1,-1,257336,930814,-1,905523,345834,366520,658917,-1,-1,356129,6363,913560,-1,-1,-1,-1,-1,-1,380998,-1,920492,-1,121124,342039,607749,-1,-1,-1,-1,16891,171817,-1,532471,130653,-1,-1,-1,817409,84381,-1,553967,600162,-1,379647,-1,927671,-1,370007,69968,25163,648391,388813,44933,-1,745321,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,3973,-1,563037,-1,-1,862733,-1,-1,-1,49637,966508,930277,503488,208332,-1,-1,-1,552135,-1,175113,160810,-1,-1,-1,46322,-1,-1,63674,286071,-1,-1,536729,371001,529593,214618,327526,-1,768540,693666,-1,-1,897843,-1,-1,39065,-1,-1,-1,-1,933745,842224,349664,45286,150941,655518,464560,-1,-1,-1,-1,-1,-1,-1,-1,259563,831960,-1,-1,-1,-1,-1,-1,725069,428766,-1,141649,395981,-1,57402,-1,-1,-1,-1,842846,-1,-1,-1,969243,-1,951674,366522,3905,117442,23668,-1,186171,-1,-1,-1,-1,700416,-1,-1,-1,-1,468041,980768,-1,565700,221714,877111,663645,20514,975835,-1,-1,-1,348235,374802,-1,291334,843258,-1,669839,-1,-1,901226,834141,831052,-1,176403,537778,358143,274856,-1,-1,-1,-1,-1,-1,-1,-1,901182,693010,50611,600568,944135,-1,-1,-1,882683,155206,119699,-1,-1,-1,169356,390924,538328,-1,727316,-1,254753,-1,-1,498754,-1,295563,-1,-1,412107,-1,423715,740904,-1,-1,-1,-1,839781,318480,-1,-1,-1,534861,724617,517015,914694,-1,-1,-1,169287,24841,-1,-1,757176,-1,602724,552974,-1,570734,-1,-1,748357,-1,-1,-1,826722,-1,847454,297822,935070,-1,370724,769998,338003,-1,-1,-1,-1,637245,857107,750577,267851,113621,878689,-1,-1,663203,842115,871583,507929,-1,-1,-1,-1,-1,-1,770762,549322,-1,888476,120335,-1,344397,542645,373013,537235,375335,-1,-1,925335,-1,-1,505749,718067,704292,-1,22410,-1,213424,-1,-1,875677,135574,-1,-1,123226,-1,599671,-1,564060,117104,-1,464074,-1,149201,149649,220736,-1,-1,493848,412192,-1,-1,340872,-1,-1,82556,609833,-1,-1,826990,-1,428955,808384,868244,-1,512989,-1,-1,651407,287545,679998,-1,556426,182011,76264,932278,-1,-1,850831,106532,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,168350,630455,982190,659137,607730,631274,123805,792523,-1,-1,664759,-1,-1,47383,359267,-1,-1,-1,-1,-1,764312,-1,762340,352498,198995,64876,931216,-1,792965,915119,935026,-1,934552,897415,-1,261379,245518,482105,206825,200704,662707,900398,337928,645745,-1,-1,-1,-1,152500,861746,-1,571589,707118,-1,528413,35495,36666,-1,-1,-1,166589,324105,695201,959357,318676,-1,-1,-1,-1,-1,-1,-1,198560,-1,-1,-1,-1,-1,-1,82586,-1,-1,989532,-1,324630,787762,560319,-1,958035,614370,788897,709908,-1,529284,293994,-1,518818,-1,960592,454604,683442,-1,80237,-1,134600,250032,925714,-1,-1,-1,-1,-1,-1,766362,350023,446682,929065,268545,199846,525599,988618,-1,-1,784725,359683,-1,905860,-1,-1,-1,126879,302922,-1,827346,721790,-1,164891,248797,-1,-1,-1,862603,310243,597815,793729,-1,-1,210779,-1,715512,-1,-1,914560,571187,78168,-1,-1,598766,218662,495032,-1,851936,-1,468287,-1,110849,228771,163844,-1,283782,837126,-1,-1,349607,394801,62969,-1,-1,-1,-1,925948,859259,119392,-1,457061,4130,-1,-1,-1,-1,695194,-1,-1,140022,769358,-1,412276,803260,72042,540660,745821,610978,-1,790391,-1,466086,-1,-1,-1,-1,-1,-1,680109,-1,313381,-1,291613,-1,-1,-1,796991,346565,497946,-1,109232,-1,615135,561473,801341,-1,-1,883443,-1,-1,-1,218383,286973,402680,690634,679320,782803,103490,-1,444777,400874,-1,-1,-1,444116,382788,164964,663798,598855,-1,19409,-1,-1,282238,-1,676410,370531,-1,406136,-1,22677,-1,-1,653923,313037,-1,243777,484424,956741,246016,-1,608222,-1,-1,138447,-1,-1,247189,-1,779735,-1,-1,-1,467372,650436,10456,-1,339780,716190,-1,-1,891339,-1,-1,343109,-1,987696,-1,-1,-1,-1,-1,-1,348654,-1,-1,36721,-1,79029,242636,661512,501242,708377,369749,864662,-1,-1,-1,-1,245815,-1,772489,90766,-1,590129,-1,-1,162157,-1,-1,973055,363479,924191,575232,522058,-1,823638,-1,-1,-1,767503,774784,76270,-1,673003,-1,376138,599137,-1,847904,-1,522439,-1,484835,-1,60988,-1,348530,759843,706530,-1,-1,432713,113353,380042,-1,-1,479585,401290,-1,441066,849556,-1,-1,156272,789017,652742,-1,-1,-1,-1,-1,-1,-1,-1,482606,-1,-1,383803,-1,10762,-1,-1,-1,-1,103379,-1,-1,543654,754848,-1,-1,908154,-1,-1,-1,935483,-1,-1,-1,-1,-1,-1,7585,-1,883496,561708,735713,19875,-1,-1,-1,491518,-1,-1,37018,401374,623549,682257,-1,-1,-1,290239,496888,-1,121686,-1,-1,629214,71947,-1,975986,-1,999389,-1,204253,97708,500975,-1,597741,-1,13787,345069,105883,155055,672831,788708,491365,-1,-1,-1,-1,764069,426363,260861,346298,818936,-1,-1,238144,-1,817067,298097,-1,-1,800752,90504,-1,432465,-1,-1,-1,-1,503270,947876,-1,383955,811116,-1,418063,825318,474861,779369,-1,276946,-1,244758,-1,458290,450601,-1,-1,-1,243074,698433,695541,-1,-1,934279,-1,952803,-1,985067,-1,-1,-1,-1,-1,-1,-1,-1,-1,675844,265230,-1,-1,-1,592183,-1,-1,596982,331724,516025,896140,19870,-1,127718,-1,-1,352789,-1,207626,-1,-1,478727,-1,168629,803342,846134,-1,-1,25413,991056,-1,771260,823115,546170,-1,-1,595772,-1,387257,962009,-1,510438,-1,736324,509953,757042,-1,-1,516553,-1,280881,-1,338237,-1,-1,844621,263741,-1,-1,642679,979968,714353,449332,972968,423388,101471,261068,-1,-1,-1,-1,-1,-1,-1,2610,-1,810825,652485,952398,529872,-1,766086,484898,-1,-1,-1,-1,679553,960779,-1,-1,528049,-1,-1,-1,541681,702619,781312,843568,736858,-1,-1,-1,-1,-1,-1,-1,-1,-1,813063,314155,-1,-1,-1,-1,-1,574835,-1,-1,-1,-1,944739,718325,-1,-1,193627,915865,467460,433145,273303,-1,234540,-1,-1,-1,93860,66483,-1,550594,600438,-1,745658,-1,-1,-1,767311,736991,499577,564725,-1,128424,441719,-1,-1,-1,638619,-1,-1,-1,293793,321156,538899,720033,739426,732268,-1,-1,-1,-1,-1,144587,-1,233322,-1,623194,995480,-1,211039,949473,553764,-1,-1,-1,-1,317423,-1,-1,-1,229555,979661,819414,197994,441885,-1,-1,15212,64993,-1,-1,-1,972093,-1,757694,-1,-1,-1,-1,79345,-1,561701,484795,649087,650577,-1,-1,391842,440121,927171,748050,300624,-1,-1,-1,755612,10299,295016,-1,160040,945843,569702,-1,276373,-1,-1,96810,-1,450901,606873,968104,-1,923864,-1,550566,-1,-1,745123,50990,317994,742919,-1,707655,181364,253625,580155,748998,249384,353044,-1,34572,189046,622032,139112,-1,-1,-1,687145,-1,-1,-1,434407,87204,-1,-1,754425,225353,-1,-1,-1,-1,470599,30128,-1,-1,-1,-1,843267,-1,126075,731629,-1,-1,402035,285251,-1,-1,-1,-1,514846,215754,-1,287829,373490,378069,-1,224886,641421,714061,676247,716400,-1,-1,-1,-1,-1,-1,460779,-1,-1,-1,320257,965335,813236,58867,223588,425232,112855,165388,86880,86676,-1,-1,-1,-1,570484,-1,-1,-1,-1,-1,163796,451682,589987,860744,493224,-1,181119,-1,389641,-1,149060,-1,-1,896231,-1,-1,774793,868612,770774,869035,-1,252356,395135,135884,710415,-1,748684,59053,-1,530673,-1,-1,819517,83763,-1,-1,-1,-1,425626,443539,743053,-1,-1,418305,-1,-1,871031,-1,-1,151666,501468,-1,252438,488350,-1,781829,-1,-1,291293,-1,-1,-1,35143,147274,-1,-1,-1,921504,-1,-1,638895,968430,-1,115486,-1,935476,-1,148060,27770,-1,740647,-1,-1,122132,576223,-1,961465,538845,925939,-1,-1,-1,-1,903349,937365,-1,749855,285091,150043,-1,301868,-1,845145,-1,-1,-1,156184,984159,-1,324236,-1,-1,-1,-1,-1,70469,-1,100476,-1,861402,-1,985496,-1,-1,353587,-1,490264,-1,-1,517990,-1,-1,239519,300211,-1,-1,-1,-1,-1,836376,572477,867145,-1,905541,655092,408685,498673,-1,114627,96192,-1,-1,-1,815656,-1,-1,-1,454848,786330,-1,519765,-1,-1,468483,711651,639223,961386,157236,930039,-1,-1,904681,981604,-1,201816,-1,213305,-1,-1,94194,-1,-1,-1,-1,-1,-1,-1,220071,-1,-1,-1,271705,-1,659954,-1,-1,-1,-1,-1,-1,-1,-1,795327,338979,87416,-1,285899,-1,-1,61243,867246,550452,-1,877057,575577,-1,487617,586494,-1,-1,151680,-1,-1,-1,392759,-1,758345,-1,493433,-1,724150,291226,-1,-1,707560,443495,-1,-1,-1,-1,-1,-1,77085,-1,9694,-1,227438,57983,-1,76544,-1,-1,955217,-1,48517,636531,254257,806389,518225,936796,273184,453347,283378,-1,322874,663694,732522,753987,-1,615242,-1,6157,-1,-1,954570,692170,591817,-1,-1,-1,747809,849611,-1,315048,-1,-1,-1,-1,226637,-1,-1,421112,86166,394306,-1,-1,-1,-1,-1,166899,168977,300143,-1,207208,-1,-1,-1,-1,808110,614321,-1,752851,-1,-1,644591,887501,720349,-1,-1,206222,200952,235322,-1,880437,-1,756921,-1,-1,-1,952555,761012,-1,489072,114099,-1,697204,438217,-1,963213,-1,-1,-1,736251,-1,6837,171175,-1,-1,443213,410883,216846,823475,-1,-1,253517,296872,-1,162588,206023,-1,-1,109155,-1,505519,-1,906130,831290,349696,-1,681885,292180,-1,349850,-1,-1,-1,99661,288380,-1,-1,437670,866645,-1,-1,30383,403271,-1,253307,-1,-1,18167,238013,915549,-1,485855,-1,-1,370758,-1,486705,-1,344089,334189,-1,-1,235529,-1,96495,-1,205784,-1,209422,-1,-1,3003,-1,-1,-1,517774,-1,-1,-1,-1,-1,264969,-1,-1,-1,-1,-1,360865,721071,-1,-1,589471,-1,544861,685995,504407,437483,-1,-1,98669,-1,-1,-1,-1,229187,-1,-1,386474,-1,134445,975142,229194,822745,117486,999293,176031,296123,-1,-1,282555,693978,-1,-1,-1,234046,-1,-1,-1,847036,633215,-1,-1,731245,701472,970668,269245,576477,-1,-1,-1,53748,-1,890267,121636,-1,-1,-1,404349,375414,370742,28058,-1,-1,-1,-1,263354,-1,-1,189454,952755,-1,-1,-1,530630,-1,-1,654041,251444,-1,-1,-1,-1,126778,-1,-1,756612,752596,859268,890897,-1,576249,580688,689926,95137,-1,440442,-1,-1,-1,-1,-1,-1,-1,48327,251918,-1,-1,584207,455752,-1,-1,-1,905012,998618,131231,-1,470636,-1,-1,132590,81069,829387,466009,-1,355725,-1,-1,72152,615623,34833,-1,-1,416312,-1,191981,-1,199573,432672,420988,579155,257393,-1,-1,-1,416018,695601,-1,337110,15036,675735,59470,-1,279599,416070,633589,-1,590948,-1,52194,-1,716150,605045,-1,-1,-1,952173,737388,-1,-1,801210,684537,493105,-1,-1,798529,-1,-1,-1,738476,-1,-1,497286,-1,450313,-1,-1,139714,681201,-1,-1,-1,231499,-1,750331,-1,-1,-1,711614,503670,-1,-1,404522,-1,509333,507841,944250,822930,302833,871220,-1,753795,761991,-1,410218,153987,-1,311891,739833,174355,209811,-1,-1,428278,-1,765427,635098,-1,675611,241317,-1,16916,723373,-1,647520,-1,-1,231486,-1,521290,344436,-1,121926,143762,-1,737282,-1,-1,-1,-1,627650,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,43664,-1,521916,777602,-1,223551,548880,947438,962317,-1,-1,543422,-1,-1,-1,341639,408188,-1,527857,242589,-1,-1,-1,877874,677329,915137,423375,396725,567332,-1,535373,-1,351769,913930,-1,-1,741373,-1,159314,283214,-1,972955,260392,-1,656292,-1,-1,-1,-1,-1,-1,430442,-1,-1,-1,-1,136973,199835,-1,-1,985223,498607,382862,597103,-1,244067,695783,-1,460950,655053,-1,889418,-1,869480,-1,121971,200848,-1,669311,789519,578144,650167,29602,857885,-1,128416,336945,-1,-1,554002,-1,-1,501363,-1,-1,-1,165835,310681,981762,726720,526578,-1,832213,181769,-1,-1,292580,-1,30071,-1,981848,-1,272496,-1,-1,-1,-1,-1,347122,877813,203688,255372,-1,-1,-1,-1,972060,-1,-1,572941,-1,-1,-1,923040,105303,48369,-1,333065,-1,335771,867836,147610,-1,-1,744010,131174,-1,-1,866739,-1,-1,-1,285296,-1,-1,904378,565360,-1,49150,-1,351155,-1,-1,-1,777228,317008,-1,630162,646876,-1,296827,938306,377199,523350,104809,657053,666242,-1,-1,-1,123907,-1,-1,187489,-1,-1,-1,901979,139434,865333,-1,-1,-1,836399,700971,-1,818397,243470,408397,402156,-1,680819,-1,780901,-1,500151,-1,312125,186197,518048,-1,692024,318774,828233,-1,914807,-1,459917,-1,-1,-1,633986,630934,155438,-1,-1,-1,674046,834854,-1,935423,239154,-1,281228,-1,-1,-1,-1,34882,608288,63299,391020,-1,-1,808979,297145,-1,75590,916791,491702,284479,352824,-1,38399,-1,-1,301298,-1,822056,211676,464777,-1,167071,908992,679056,-1,581631,697394,147787,-1,-1,-1,544306,-1,-1,-1,298467,-1,794657,-1,153591,527296,-1,-1,563222,721892,578722,731735,-1,852090,-1,49706,-1,-1,881509,692972,422443,64330,724818,440516,710865,460619,-1,279735,-1,253642,494419,-1,310167,-1,-1,-1,586181,559256,-1,-1,117856,648041,477523,-1,555661,13174,115708,-1,17025,-1,637604,984553,-1,-1,918487,238183,-1,-1,2081,46041,-1,-1,-1,220913,901378,795769,791189,47931,-1,-1,745334,-1,877857,193311,405187,-1,-1,-1,863654,-1,-1,808348,990592,-1,556418,-1,445319,-1,-1,92497,-1,262616,336679,657654,196746,272344,-1,-1,591999,927587,790096,560806,-1,-1,-1,403535,-1,-1,366550,744245,786326,256787,-1,936820,-1,894372,-1,406452,120842,298560,-1,-1,-1,920843,-1,-1,465586,777662,345378,-1,-1,897761,233577,-1,-1,996770,247922,342485,-1,-1,-1,720368,-1,265612,907943,492279,252732,-1,906691,-1,854632,407546,156906,-1,-1,-1,447677,-1,-1,481857,827010,-1,944681,987699,318796,544212,46837,79087,-1,-1,-1,650952,-1,307423,-1,-1,901147,-1,184665,-1,-1,-1,-1,495346,535889,-1,-1,44949,117728,723128,467599,-1,799717,537595,611713,182375,-1,-1,228377,128531,964828,292624,-1,-1,122977,66730,-1,505514,-1,-1,-1,570132,571878,867150,-1,-1,29099,-1,-1,533053,-1,861231,-1,603317,592735,-1,-1,518876,-1,-1,40637,-1,659543,-1,-1,759440,483440,-1,-1,496552,-1,614592,482560,824149,-1,-1,-1,413719,565945,141855,-1,728901,-1,312842,-1,505773,942538,-1,-1,19090,-1,-1,-1,-1,-1,-1,491951,-1,-1,-1,914340,-1,803647,-1,-1,-1,-1,25828,358382,-1,-1,-1,65945,-1,-1,-1,-1,-1,-1,57280,212160,-1,-1,868269,624975,164957,740124,-1,272792,828920,-1,-1,926082,81228,647678,342098,-1,801904,-1,579709,-1,-1,-1,348153,871037,237891,800316,-1,-1,392835,475577,766042,844924,614929,988269,-1,-1,-1,-1,-1,98760,420728,-1,-1,-1,323144,223524,708133,-1,350981,-1,-1,-1,309391,-1,-1,928274,865534,-1,963874,47339,229893,-1,894980,-1,640997,839315,507089,97591,-1,-1,-1,-1,833522,-1,-1,-1,-1,750798,-1,785370,153489,287158,-1,803848,928950,-1,94022,-1,-1,53070,355742,151511,-1,238519,115694,-1,-1,-1,618515,-1,-1,-1,962692,348514,-1,-1,-1,-1,712449,-1,339964,324926,872412,681464,-1,-1,711042,17289,-1,-1,420404,186840,-1,182980,99577,-1,-1,-1,295076,244389,-1,18338,5902,995624,-1,885088,878229,48004,23832,207962,397966,752794,-1,48275,-1,108486,219379,-1,408929,115057,189358,-1,-1,504040,-1,-1,-1,-1,-1,-1,-1,833473,-1,-1,-1,-1,310148,-1,326030,-1,-1,-1,22076,241284,-1,-1,767247,804023,-1,-1,-1,885398,784378,595271,618875,-1,-1,-1,844732,107611,-1,246897,198284,468756,788165,-1,302869,148010,24658,-1,-1,773475,-1,146963,-1,88645,-1,-1,-1,-1,5189,992408,541059,550609,-1,839359,407315,-1,918014,-1,772746,-1,190849,751441,671835,-1,301565,-1,-1,-1,422704,-1,235747,495343,959932,-1,958608,-1,-1,-1,87142,-1,-1,-1,399184,-1,697277,315401,272572,-1,102633,-1,-1,529713,960056,921678,-1,13793,-1,-1,-1,-1,542189,836203,896267,615845,654541,-1,-1,93492,-1,428750,951007,953975,889686,-1,461741,-1,985451,-1,-1,203505,-1,683863,-1,876616,853788,344059,645957,-1,-1,397338,351739,288300,-1,971134,-1,-1,-1,-1,-1,-1,873402,868340,410331,-1,587405,-1,589405,383765,-1,-1,-1,545240,119811,937,-1,969710,-1,107318,-1,344285,-1,-1,190998,850166,261701,479028,-1,63219,-1,-1,-1,555453,576008,484513,475945,-1,-1,110319,-1,-1,-1,522274,-1,-1,-1,982090,480787,-1,904976,-1,32503,906888,999346,131165,-1,-1,305432,100509,-1,697506,317363,-1,-1,595553,600687,-1,389750,216526,462654,504966,-1,-1,396711,-1,-1,-1,655816,-1,-1,-1,-1,996695,-1,205909,657099,-1,795758,-1,-1,738048,70899,-1,183108,787025,739597,936504,612506,-1,-1,-1,-1,856817,-1,743239,749319,-1,-1,-1,-1,386307,-1,268426,-1,211634,89048,315129,-1,-1,439213,-1,-1,-1,985397,603491,-1,-1,-1,549358,290207,-1,-1,882467,247124,99775,372668,528773,966872,752950,940326,-1,344332,358425,-1,-1,644900,-1,593893,210858,120553,-1,475162,-1,635188,-1,-1,328221,976927,-1,-1,723713,429999,733377,333071,20638,622948,-1,-1,-1,-1,593696,320425,-1,391550,394095,-1,279096,151450,-1,251319,-1,58017,-1,-1,-1,781963,-1,-1,-1,-1,866111,418104,170164,-1,66734,-1,360499,341804,741771,-1,211764,-1,900103,-1,42915,248897,-1,146842,-1,-1,233675,95392,-1,-1,613703,641830,-1,-1,-1,704079,-1,402009,621030,-1,61549,-1,17956,209431,-1,-1,-1,74531,-1,-1,531978,961515,-1,-1,-1,-1,70538,-1,642575,292160,-1,-1,118398,-1,623662,-1,-1,-1,-1,-1,-1,-1,471643,594261,-1,-1,113061,246756,-1,835114,-1,974746,-1,543520,644907,-1,743089,-1,307520,-1,227619,7794,-1,-1,958014,597350,224829,37836,-1,489054,-1,487178,-1,679279,46154,132396,-1,388467,240657,-1,160443,-1,-1,421978,717953,-1,-1,-1,423222,-1,921188,-1,214459,741532,700194,-1,-1,-1,841010,12347,998723,780649,329360,-1,-1,979889,-1,-1,687764,706408,-1,744195,-1,-1,329267,-1,-1,-1,-1,-1,-1,-1,-1,812133,414007,-1,-1,-1,-1,622752,-1,89639,52955,723305,-1,-1,56195,-1,-1,982439,632102,-1,281794,447900,609680,-1,257250,829132,726103,-1,-1,114065,-1,485672,-1,-1,-1,196035,289463,-1,473385,668208,401491,-1,-1,52906,327353,-1,85941,862100,-1,688591,88335,892006,-1,-1,206773,-1,-1,951313,-1,-1,-1,-1,-1,-1,-1,825511,857113,-1,-1,620356,-1,-1,-1,-1,-1,992700,-1,-1,-1,38274,730222,341500,507910,-1,-1,345631,270756,-1,-1,712661,574000,278930,924024,159229,-1,737899,-1,98466,872896,-1,600599,-1,-1,435532,804763,185033,-1,-1,282803,237171,-1,-1,407140,15109,695873,-1,465282,846885,-1,-1,723593,110644,106839,-1,249156,866649,504831,-1,289717,2545,-1,577432,754420,-1,-1,37275,-1,295537,96334,635593,-1,-1,667497,-1,412066,-1,991609,861744,-1,-1,-1,349822,-1,804404,-1,-1,449894,-1,-1,-1,-1,587531,687574,567218,288597,-1,455059,-1,67996,788405,-1,-1,869109,273734,-1,380520,-1,-1,-1,-1,257022,-1,-1,136302,597849,584444,369803,-1,-1,455441,-1,-1,-1,260009,975176,490060,-1,-1,787599,-1,309076,670382,-1,-1,791576,-1,681092,-1,536393,717412,839346,-1,877235,200330,298880,766221,542300,-1,-1,-1,121878,569322,-1,-1,-1,-1,-1,-1,72978,-1,-1,-1,386133,-1,-1,-1,-1,829933,-1,-1,-1,149906,81489,-1,437861,201002,-1,-1,817845,-1,659239,-1,255330,-1,234560,589571,-1,-1,479223,-1,-1,573603,-1,584847,224604,485985,-1,-1,-1,-1,212285,366706,738112,836802,-1,-1,263100,531806,569558,-1,635820,21525,-1,-1,279988,-1,578970,-1,-1,231687,-1,987005,903710,-1,712614,-1,99550,808227,686080,69818,-1,848127,-1,-1,458679,118342,640489,-1,743200,185688,207508,411549,-1,51578,16521,736902,-1,-1,-1,-1,-1,-1,-1,-1,-1,218419,-1,-1,-1,52454,-1,-1,-1,497533,389303,508537,47890,-1,-1,-1,799289,4980,586971,-1,434177,-1,-1,744,642138,289556,553457,512742,-1,422351,-1,315217,-1,-1,443373,265249,783424,-1,-1,-1,-1,927649,-1,983284,923608,832446,2606,3936,949987,-1,-1,-1,114647,613294,700878,-1,335714,-1,306548,-1,288586,788898,-1,219927,289884,-1,-1,437568,197098,-1,197122,-1,722177,857955,604952,52224,-1,761536,961935,-1,486143,85523,282188,-1,-1,-1,-1,-1,-1,240814,-1,-1,82951,473167,831553,474487,-1,-1,-1,769740,-1,-1,-1,-1,478476,-1,653038,-1,-1,-1,398012,773589,92615,733890,-1,-1,-1,-1,705949,88637,-1,-1,663030,-1,384457,-1,125366,688022,141480,-1,949064,-1,-1,687430,865500,-1,841964,913295,-1,-1,-1,-1,-1,838976,210925,419562,-1,-1,878846,-1,-1,-1,-1,771464,-1,-1,-1,245015,37163,19632,-1,433035,-1,-1,-1,681364,145802,-1,-1,-1,285468,-1,-1,-1,565978,-1,828739,25426,-1,-1,-1,-1,-1,-1,128120,19864,-1,-1,900920,986165,-1,-1,963012,866309,519700,-1,-1,197921,818468,335605,-1,939080,626670,-1,442025,263567,-1,723354,124155,-1,-1,-1,-1,-1,840952,326615,-1,109183,307429,422182,663841,191413,521886,-1,388937,-1,-1,-1,-1,-1,346893,260987,603481,404885,184545,10925,433,-1,445517,636620,900125,-1,145164,284038,338990,-1,636449,-1,-1,-1,912228,990118,-1,920613,793022,971230,-1,-1,-1,-1,-1,-1,224831,-1,339750,-1,841383,-1,637456,20406,-1,214136,-1,-1,906995,-1,-1,326257,-1,-1,-1,-1,-1,-1,-1,-1,479960,318108,741749,-1,-1,-1,526718,-1,-1,319283,94369,432294,-1,757425,265576,870189,-1,60648,739722,-1,-1,-1,-1,33798,213633,-1,-1,330748,-1,-1,-1,-1,-1,504652,-1,-1,-1,5822,-1,-1,-1,119651,-1,784022,692015,983224,61691,-1,-1,-1,13068,-1,-1,-1,-1,-1,-1,-1,-1,681498,824612,-1,523314,596563,-1,-1,919131,-1,18102,706279,-1,837739,797094,-1,798854,-1,598770,-1,847420,29655,-1,-1,-1,995976,-1,-1,774590,-1,194859,-1,769619,939732,86157,-1,-1,-1,608913,-1,-1,-1,-1,158230,608419,-1,273553,110320,746900,430805,-1,-1,-1,-1,200097,679078,33520,540638,-1,-1,409745,630651,124107,-1,-1,314272,931157,-1,916800,791776,791838,-1,-1,421078,379640,641052,872794,-1,455579,764714,992857,558282,-1,-1,-1,143305,12934,327920,938086,524824,-1,306718,-1,758822,-1,463496,240935,91341,-1,440800,267663,346387,-1,671917,-1,-1,-1,-1,93189,419781,532445,-1,-1,-1,708841,470741,-1,997899,447828,387122,740222,-1,747395,-1,-1,894858,-1,-1,84278,-1,569463,-1,-1,644300,-1,-1,589575,-1,-1,453582,-1,-1,298882,-1,-1,-1,-1,-1,-1,-1,956141,-1,26779,325671,-1,-1,-1,-1,112397,-1,192448,-1,-1,-1,-1,72556,-1,894893,-1,426430,-1,-1,40207,105940,744310,-1,523503,-1,804034,64192,63598,-1,-1,-1,-1,651615,-1,-1,-1,-1,734284,503878,-1,786630,-1,-1,741248,253381,-1,890470,23871,845752,59095,-1,-1,-1,-1,-1,-1,-1,919071,-1,325791,280446,-1,-1,-1,716494,-1,-1,871331,113771,616621,580057,-1,569241,422224,745016,290300,927689,93286,762838,-1,973231,732975,-1,940256,-1,-1,619326,-1,471107,-1,232004,665264,288090,899592,837567,-1,9565,-1,773291,-1,707629,379695,511938,700876,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,430525,-1,436702,-1,-1,575094,52525,368158,179356,-1,-1,131172,727189,396708,-1,557318,573759,-1,-1,521037,178020,-1,-1,-1,-1,-1,897017,-1,-1,-1,-1,-1,428007,-1,640480,-1,-1,819715,141104,648969,976439,-1,-1,-1,-1,958227,-1,30755,160092,-1,800571,-1,191203,707714,503624,694728,484929,45474,726992,577277,-1,-1,-1,918882,-1,764188,-1,268838,-1,191627,-1,-1,-1,-1,-1,406083,-1,-1,-1,-1,942964,-1,99007,134558,-1,563106,612399,-1,575320,-1,-1,312890,559598,-1,865572,303777,-1,-1,-1,993669,486802,-1,-1,915665,-1,914060,303308,-1,927063,-1,973765,560433,-1,-1,-1,-1,904922,867813,-1,639657,-1,999999,827985,-1,804707,821636,-1,-1,-1,110988,-1,361326,748917,150454,155584,119126,837079,422394,602113,497676,-1,456779,-1,308540,-1,893192,-1,-1,119488,36957,-1,-1,-1,184757,-1,757918,-1,-1,-1,-1,419702,338248,-1,-1,-1,476556,-1,697874,429272,888955,-1,491689,157089,425864,286760,332522,-1,274466,-1,461724,981758,605042,171204,-1,-1,-1,-1,-1,633617,814777,773134,-1,616092,-1,-1,-1,816404,-1,-1,-1,31174,37293,-1,886265,478305,857376,-1,465823,-1,-1,458168,-1,-1,-1,682636,472007,-1,711332,347170,328225,593022,-1,-1,-1,438321,6518,-1,-1,200861,114626,-1,-1,285266,423544,-1,640955,785072,585030,782629,-1,-1,810631,877066,47389,-1,958120,889586,-1,734903,-1,-1,635262,-1,960901,506927,-1,-1,595395,-1,-1,755824,-1,78081,833264,905254,-1,615726,-1,-1,304090,-1,-1,642605,-1,864515,-1,-1,-1,-1,912126,-1,-1,-1,-1,-1,361178,-1,30544,51624,-1,587208,-1,116406,-1,853181,826511,-1,671537,-1,817018,-1,-1,997760,-1,262598,-1,497956,-1,-1,227404,-1,-1,-1,-1,512700,301042,560494,768163,442190,-1,750905,96470,-1,-1,-1,-1,868634,-1,52272,-1,911493,-1,93583,-1,-1,741077,556112,-1,221909,672458,771473,535569,170322,-1,-1,766329,-1,-1,692897,-1,-1,815589,-1,-1,275707,540462,766150,-1,-1,186623,937280,111203,-1,499926,-1,-1,-1,32187,-1,902831,-1,763958,226946,-1,785910,853167,525234,-1,-1,489129,208235,-1,336713,763774,-1,475976,-1,518055,113154,-1,-1,-1,-1,-1,-1,917088,-1,649576,-1,906238,44600,-1,-1,-1,-1,-1,217594,237553,-1,642581,440307,54058,330893,6913,-1,-1,-1,187351,869459,396420,391610,-1,784131,-1,-1,656464,-1,-1,917013,255201,-1,-1,-1,-1,293813,-1,372930,-1,373613,744860,-1,-1,900830,-1,-1,-1,891916,986868,226411,861775,430680,782516,-1,791202,-1,-1,690032,-1,18714,447271,-1,123309,-1,-1,520163,834894,-1,-1,-1,576253,-1,642797,820088,-1,960726,44450,373340,-1,-1,-1,-1,118728,112874,-1,-1,6576,-1,149697,-1,-1,617321,568354,807917,825765,-1,-1,-1,-1,503688,656560,934331,-1,740114,-1,933421,250709,812331,203219,-1,-1,-1,838467,712247,-1,-1,-1,-1,560071,488285,693003,-1,122727,355152,644123,671259,-1,-1,-1,724652,880580,-1,829346,-1,795699,-1,-1,77432,-1,645975,-1,278219,713179,684219,53869,889781,209700,916706,-1,113815,134624,885217,858914,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,101704,-1,-1,-1,-1,-1,366452,-1,-1,202151,-1,-1,-1,-1,37682,-1,-1,37480,339111,-1,533412,-1,374291,-1,428986,591777,-1,689163,-1,117993,271022,-1,71103,262012,870584,412674,259011,-1,352841,-1,-1,-1,-1,624963,-1,440854,-1,93395,208302,61367,-1,-1,-1,-1,614529,-1,229537,348009,594695,575734,508841,927625,-1,-1,-1,-1,-1,-1,972069,-1,509716,47533,699804,652315,987305,-1,964725,716423,571108,757153,-1,123095,665652,-1,42612,-1,50234,-1,-1,479170,113965,-1,88122,-1,121115,434289,-1,-1,475666,394804,-1,-1,343846,-1,-1,-1,-1,169784,762565,-1,632223,-1,405384,374859,324143,129456,334265,-1,992059,505905,-1,-1,326616,315032,614055,55535,554916,-1,-1,-1,308463,942944,211465,-1,-1,-1,-1,-1,608001,86153,250910,69585,-1,-1,731874,-1,-1,-1,-1,-1,326968,128330,-1,902476,220690,189619,201888,-1,488599,232685,782692,-1,573655,-1,-1,929027,-1,288487,-1,449778,-1,-1,236463,746692,773824,-1,360770,222420,-1,-1,280239,-1,-1,-1,196846,540129,-1,-1,-1,-1,226486,-1,-1,-1,-1,244594,-1,810628,152573,-1,163137,616147,916676,493251,-1,-1,293607,771147,250225,746132,347749,442359,117854,-1,392539,-1,-1,330336,461816,-1,39057,-1,-1,-1,589784,-1,294217,-1,657393,865132,164024,161483,-1,510934,-1,905628,17268,-1,-1,889510,529707,-1,-1,734886,-1,926766,575698,96660,-1,77466,172748,851620,292406,-1,279192,-1,669684,-1,-1,-1,-1,-1,158122,-1,-1,-1,-1,243436,-1,733388,-1,-1,-1,764966,128111,730604,284618,-1,442379,704537,-1,392688,712240,836990,-1,-1,527123,-1,700495,-1,683801,-1,-1,912446,216360,27042,419937,619904,991395,957987,750274,123726,-1,-1,-1,30734,-1,-1,-1,903235,560680,-1,499541,182810,51440,131983,339885,373713,-1,851817,24175,-1,-1,199750,-1,-1,-1,571729,-1,45743,-1,-1,109673,15982,-1,671771,934466,424265,-1,-1,60576,-1,-1,49397,872060,802567,-1,397588,-1,810337,16425,617639,595758,89560,-1,580328,-1,-1,824485,-1,58822,-1,-1,818029,-1,-1,-1,-1,590637,-1,819519,-1,39161,-1,-1,-1,996624,-1,-1,-1,441119,845078,660548,-1,-1,-1,868450,-1,-1,-1,922227,-1,-1,-1,564555,-1,610300,-1,-1,-1,-1,220235,-1,937329,-1,-1,163831,-1,465650,-1,-1,515254,579302,106370,857193,912434,118787,-1,-1,401668,368707,456151,-1,-1,905603,625385,-1,641020,-1,-1,-1,280331,409973,-1,-1,-1,-1,87024,-1,-1,-1,586028,-1,848365,-1,-1,-1,799988,614435,-1,-1,907126,-1,996892,114240,-1,-1,382607,337982,-1,-1,980607,-1,-1,-1,346459,-1,924153,-1,955004,235763,-1,-1,-1,-1,-1,458945,-1,-1,612632,-1,211209,232174,211163,372710,599734,88031,33186,860785,337489,612065,84370,-1,-1,774167,99726,-1,-1,-1,362746,5,452024,72407,875330,-1,348690,93777,-1,-1,826698,637928,-1,598196,-1,494448,-1,867415,524766,420093,845010,-1,-1,331763,938701,729711,-1,-1,-1,-1,-1,-1,866504,659345,729071,220505,850187,-1,616950,-1,163324,-1,-1,76494,460698,-1,-1,-1,-1,-1,-1,229973,115102,640585,-1,849818,83140,458991,-1,-1,797340,489086,915986,212195,-1,422082,-1,-1,-1,638380,782942,456542,957917,-1,382172,67859,-1,-1,849104,-1,885125,-1,288515,-1,77637,-1,-1,678027,-1,-1,-1,589851,-1,-1,-1,785597,356641,-1,-1,542073,-1,613928,-1,-1,904644,-1,-1,-1,318727,-1,-1,354008,809309,378792,240122,-1,955420,284152,359820,585131,641643,646945,-1,7675,800989,996322,607545,-1,-1,-1,-1,-1,389175,556476,831949,11568,725437,-1,577788,996044,-1,-1,-1,-1,-1,110745,-1,-1,-1,264354,-1,-1,571656,-1,457759,-1,870949,-1,189205,-1,909510,571604,357881,-1,-1,173535,894025,687825,-1,91199,-1,-1,347913,106955,459598,393172,241906,-1,325235,-1,477375,421711,104760,790901,-1,-1,-1,425490,-1,30148,-1,257003,-1,-1,-1,421520,159591,328533,684309,-1,-1,-1,224534,-1,-1,-1,-1,879392,-1,307853,697070,665528,-1,-1,-1,945524,-1,-1,-1,-1,-1,333296,263808,-1,269504,681210,694392,-1,-1,309358,-1,-1,282232,-1,-1,650125,999557,849813,-1,739541,-1,919803,768436,605663,-1,233687,331106,-1,327754,-1,317392,-1,-1,-1,-1,747427,476222,-1,-1,448505,982130,-1,-1,512908,6787,-1,25889,255106,-1,287642,32266,-1,343905,-1,-1,-1,154815,-1,-1,-1,929085,-1,-1,-1,911400,-1,-1,-1,-1,795332,-1,-1,-1,229776,213306,-1,-1,684222,-1,-1,-1,-1,-1,743943,-1,589052,-1,691870,-1,150993,551610,-1,-1,-1,-1,521134,-1,-1,-1,-1,-1,833604,649187,-1,-1,-1,-1,-1,-1,50160,-1,-1,170170,3350,-1,-1,-1,-1,-1,-1,187251,-1,-1,-1,674988,915242,308637,-1,-1,-1,87063,-1,-1,404403,-1,102682,-1,385188,836261,-1,-1,-1,912019,684057,468248,-1,-1,-1,-1,984302,-1,454037,402079,159713,29769,-1,-1,-1,980886,836613,-1,-1,564216,-1,-1,286735,-1,813367,-1,-1,113592,-1,-1,121001,62865,-1,241742,367827,68156,-1,-1,-1,57008,453092,942580,-1,-1,509046,928629,-1,-1,367103,426096,874659,381407,642271,751204,-1,714305,-1,-1,-1,468260,-1,-1,980411,-1,940853,-1,616658,-1,-1,-1,63138,925313,-1,281841,-1,250518,823249,849153,-1,-1,-1,-1,-1,875900,-1,221408,-1,-1,-1,863374,-1,-1,-1,-1,-1,442000,969805,-1,957766,-1,-1,932892,513325,-1,234206,-1,-1,-1,814533,528826,20142,-1,-1,-1,348558,-1,155171,-1,758869,264942,-1,732310,-1,-1,-1,348825,-1,-1,907559,156087,-1,864184,99359,-1,-1,-1,768430,-1,608775,567276,366689,332022,-1,-1,-1,-1,578944,-1,459178,-1,127563,748429,408687,-1,-1,66281,174886,-1,603436,-1,-1,528989,-1,791893,634206,-1,797626,-1,-1,-1,587305,-1,-1,746765,279120,-1,813311,-1,116581,-1,718260,810677,12623,-1,999199,-1,322096,780832,-1,353888,591691,-1,-1,-1,62518,-1,348619,302455,-1,573660,979996,485769,588743,-1,-1,698066,926067,-1,372592,652941,-1,-1,-1,401944,-1,559730,609083,786103,210155,-1,769132,-1,-1,-1,-1,840902,499266,-1,-1,-1,-1,-1,-1,883888,-1,-1,174615,360532,952300,-1,418002,-1,951440,-1,-1,243172,-1,106953,303125,335783,-1,6190,-1,124358,-1,954695,-1,-1,-1,-1,-1,549800,-1,-1,324410,420270,-1,449812,505667,815206,-1,-1,226261,-1,-1,255819,672273,-1,65520,773657,401317,770381,668196,-1,766049,-1,-1,563077,-1,-1,955123,621844,-1,-1,-1,-1,858460,575217,148685,-1,208837,-1,192959,-1,-1,965892,249604,-1,-1,-1,-1,-1,665028,-1,-1,156508,-1,-1,447075,-1,302343,-1,573757,-1,-1,667988,698908,-1,-1,-1,211092,904767,-1,657607,-1,-1,-1,-1,735783,-1,-1,274684,388034,-1,-1,518112,-1,523633,-1,-1,-1,-1,636102,-1,56072,-1,653018,-1,-1,-1,-1,-1,62145,-1,-1,988665,-1,-1,-1,867240,-1,-1,485483,789675,-1,-1,-1,-1,-1,64518,967274,988087,671948,-1,270505,270906,244916,-1,-1,505232,798787,612412,-1,502796,682672,200199,-1,-1,914441,597377,-1,352808,-1,625192,-1,237696,-1,804063,-1,370494,528179,-1,403257,-1,327330,-1,82388,-1,536890,894500,921205,887192,-1,-1,877155,245853,-1,-1,-1,770454,743590,898180,557872,-1,-1,-1,505551,-1,-1,-1,538077,799404,357699,-1,-1,-1,-1,-1,-1,37525,405717,927748,-1,96466,-1,394250,-1,656087,-1,894887,-1,-1,-1,655512,438667,269222,608392,944611,-1,98644,313529,923452,784325,-1,294257,-1,994752,-1,889724,805120,-1,-1,827938,419634,-1,800861,383852,69452,-1,957431,614336,-1,-1,-1,730664,-1,418567,406686,-1,-1,-1,-1,199343,611874,-1,-1,-1,-1,-1,-1,246601,-1,323687,-1,669773,-1,318917,39467,821061,455256,697942,-1,873303,-1,-1,219203,465559,351816,737019,-1,-1,512368,891086,-1,154354,308272,612809,181201,-1,-1,-1,-1,-1,937924,360348,97499,562725,-1,999118,-1,-1,841804,-1,166591,184754,250853,865208,661916,16989,867767,499063,-1,608608,-1,121440,356450,456201,-1,797025,904443,-1,522361,-1,471291,-1,415846,185786,-1,874765,160130,-1,-1,172670,588900,-1,-1,977716,-1,817402,115960,-1,-1,574650,-1,-1,-1,322448,424838,-1,752042,-1,-1,3897,-1,380839,453706,-1,-1,262297,-1,-1,-1,366158,447566,714994,831959,857359,-1,-1,473267,-1,-1,-1,624561,-1,-1,-1,613360,-1,-1,331176,-1,-1,421262,735376,-1,-1,-1,404839,-1,170148,-1,-1,-1,507170,529169,-1,807668,-1,777277,848866,-1,492434,660561,-1,833833,-1,794620,-1,-1,550844,393047,-1,-1,-1,684224,-1,216611,627047,281560,400161,813515,11789,-1,-1,-1,887088,774564,397942,-1,-1,-1,-1,-1,-1,-1,817010,-1,-1,770084,-1,757060,354037,201099,-1,-1,-1,865271,453630,-1,-1,-1,-1,-1,710508,337014,-1,31390,-1,-1,-1,732861,931775,827828,-1,-1,983702,570959,842796,-1,-1,-1,-1,200243,816583,454346,342710,193349,349044,-1,-1,-1,-1,865932,418255,-1,434206,-1,-1,-1,80225,903170,800103,-1,-1,-1,41722,452238,655523,178116,746951,-1,445853,256392,62822,815173,-1,-1,-1,39175,-1,-1,-1,696405,393728,-1,976528,-1,290598,-1,893108,-1,-1,932350,-1,721136,26835,579718,899289,-1,331809,223204,-1,-1,295250,887278,-1,-1,-1,-1,-1,-1,716408,-1,245585,-1,174,-1,-1,939168,708323,88092,-1,928459,782574,-1,424782,-1,639821,8773,-1,-1,-1,-1,-1,882618,886467,876219,753016,-1,742619,449119,835048,-1,-1,622496,-1,-1,-1,343839,-1,-1,-1,799985,454817,-1,767732,-1,-1,404594,7285,539898,606094,928497,949345,789932,-1,949259,-1,-1,210510,62884,-1,-1,823578,875784,445059,393106,-1,441355,-1,341229,-1,-1,797286,276262,-1,-1,976930,-1,-1,-1,-1,-1,-1,-1,458429,-1,-1,276576,-1,821316,590007,-1,-1,399555,842292,-1,339053,-1,-1,326529,623150,-1,197093,-1,-1,865143,-1,144471,356839,-1,-1,523211,-1,149131,106513,221543,-1,-1,387368,944049,-1,-1,-1,-1,455436,867830,-1,-1,75098,569048,-1,-1,351455,-1,821593,-1,337319,785898,-1,-1,-1,-1,263612,-1,-1,338438,814667,-1,602433,-1,-1,662590,309066,-1,522556,-1,426455,-1,943817,-1,125081,876841,519386,-1,443076,-1,-1,-1,901346,607922,274902,-1,794798,-1,-1,934764,-1,-1,511415,-1,-1,-1,647469,-1,440620,316380,-1,67243,702198,868552,622841,-1,-1,502456,683344,407894,106038,-1,963922,-1,468161,871769,280289,638982,440853,-1,36872,928526,-1,587402,-1,-1,-1,-1,-1,189933,588349,324154,-1,808876,602679,389461,913580,435156,308311,901626,576389,270887,556888,-1,-1,-1,53578,671275,-1,584108,488453,976626,-1,147590,-1,-1,-1,-1,459965,-1,-1,134919,-1,581128,156128,770522,-1,-1,527342,-1,-1,-1,-1,578088,299974,96630,131583,335003,-1,-1,-1,-1,-1,976913,-1,177912,-1,-1,741264,190863,-1,-1,723590,42381,-1,-1,-1,-1,98093,187079,-1,-1,535924,303936,-1,-1,343191,226044,685567,-1,-1,-1,955541,-1,-1,183393,945985,609664,25359,470524,812899,-1,-1,871662,978803,-1,-1,-1,-1,835853,500500,-1,854031,561429,622025,249651,940309,-1,561725,711624,-1,475157,196693,786514,838872,-1,-1,-1,624054,949220,-1,742961,-1,88248,248379,952402,783341,533078,979135,203452,-1,74267,114440,-1,471044,344988,-1,-1,662493,-1,790680,-1,-1,-1,-1,88631,428094,896600,-1,-1,-1,-1,813491,811249,433954,720880,-1,464124,-1,824962,-1,176058,-1,-1,-1,-1,-1,948321,250671,720495,-1,-1,211650,924999,152782,728633,-1,-1,-1,175286,-1,644836,511509,292351,-1,-1,-1,-1,-1,-1,-1,-1,95587,-1,-1,865739,-1,-1,332169,512955,-1,411396,997943,528385,-1,589316,-1,-1,-1,-1,87588,973560,573547,702186,232319,715569,579087,-1,545349,-1,54565,509439,916811,6221,-1,834108,-1,-1,-1,-1,51927,694968,-1,-1,-1,-1,-1,-1,-1,-1,125723,-1,-1,-1,463339,-1,-1,-1,-1,116266,20628,-1,-1,-1,-1,450831,-1,748119,-1,-1,650645,485382,122523,160461,-1,564052,-1,431566,-1,-1,-1,-1,960964,-1,454872,601587,-1,-1,-1,897960,-1,323933,-1,-1,-1,-1,18521,-1,-1,-1,-1,824870,215453,60630,524980,768369,498185,-1,-1,759433,490677,-1,15730,-1,756873,-1,345638,-1,-1,-1,-1,786025,252807,567509,-1,-1,471475,-1,-1,35539,-1,226716,702632,452782,-1,-1,585760,78275,-1,589412,-1,638432,256573,-1,-1,103185,948862,932046,-1,908722,-1,302480,23849,-1,-1,-1,-1,976133,-1,373412,523617,984805,-1,-1,-1,-1,772270,786360,-1,-1,-1,-1,-1,-1,140110,-1,-1,133784,-1,-1,904978,-1,690392,-1,903252,374634,316816,639494,657746,-1,-1,234558,496096,-1,-1,-1,-1,-1,139248,365886,-1,103426,-1,-1,742367,-1,358240,693688,-1,-1,-1,721518,-1,-1,817713,-1,544900,343132,-1,385814,-1,746771,997243,88129,417635,419357,-1,-1,-1,969401,451087,-1,9510,-1,691905,-1,500955,218617,973661,552875,301327,810190,74665,593600,168680,-1,-1,-1,-1,-1,509182,968812,754581,-1,-1,32354,-1,464457,-1,-1,574339,-1,385942,336689,71820,511756,-1,891569,-1,-1,198663,550671,462237,780658,563172,-1,850563,-1,709573,-1,229213,306324,972376,687066,-1,-1,362652,-1,-1,-1,-1,-1,-1,-1,212784,578004,417511,259279,227155,-1,-1,-1,-1,164428,166416,-1,601995,-1,574057,-1,-1,-1,-1,816360,261797,16401,-1,336346,533770,-1,145490,-1,-1,827987,-1,608489,278894,667043,-1,-1,777939,-1,947728,-1,-1,-1,393997,-1,-1,754071,-1,83210,-1,-1,-1,944552,245016,385735,-1,-1,996339,-1,-1,746664,814768,76083,680692,196977,-1,368892,-1,-1,-1,-1,-1,676920,-1,448135,93980,-1,-1,144694,-1,27337,-1,713646,-1,-1,-1,-1,326584,877070,-1,725272,-1,-1,-1,-1,-1,-1,-1,-1,744869,-1,195323,-1,12639,918466,560734,389584,-1,-1,5746,393842,609021,-1,-1,401885,854348,-1,-1,-1,-1,-1,-1,204307,337842,625949,-1,486853,-1,811189,479953,417477,501874,-1,-1,-1,227478,-1,522033,380250,-1,-1,-1,-1,-1,768338,391984,687832,-1,-1,-1,-1,-1,210917,-1,-1,710521,-1,-1,997183,-1,-1,-1,912674,-1,678157,-1,521784,661248,-1,-1,-1,945085,-1,-1,-1,-1,-1,270463,894556,-1,180240,-1,837903,-1,38278,-1,690273,-1,-1,231113,802116,48798,-1,134901,-1,-1,360828,-1,672558,143369,516893,-1,1589,-1,-1,-1,831203,628860,636179,789468,-1,131828,-1,266274,633820,-1,-1,852318,-1,613588,-1,653986,-1,918839,-1,-1,812160,-1,434723,822653,-1,-1,-1,410793,960870,-1,175190,-1,9422,-1,955003,228797,381503,-1,67880,704833,62242,-1,-1,143729,-1,-1,-1,382236,-1,473915,-1,-1,-1,-1,181019,-1,-1,755683,-1,497927,-1,10963,-1,839911,-1,560268,662794,873282,246960,521415,-1,-1,-1,-1,-1,935940,639103,281124,-1,889020,803746,-1,600019,-1,736250,-1,176609,-1,-1,849962,325226,-1,-1,-1,647143,-1,-1,13801,-1,325690,-1,-1,65881,-1,-1,431439,-1,836383,-1,-1,-1,-1,-1,-1,-1,734273,925009,625078,-1,460032,-1,-1,62320,-1,-1,86473,947234,-1,254642,-1,-1,-1,-1,640661,54499,-1,724090,-1,-1,-1,-1,-1,456925,-1,991331,348234,909170,893622,160446,466596,306865,769938,-1,917308,929496,-1,-1,-1,-1,-1,713698,-1,103567,345655,-1,31607,672651,-1,-1,948356,-1,-1,367371,146277,375232,500912,-1,82917,624424,857579,-1,293048,-1,121164,-1,332071,469783,-1,-1,-1,435420,-1,-1,-1,470100,-1,187425,101422,337196,782884,378673,256107,-1,-1,-1,251707,78067,-1,-1,289136,-1,-1,123949,651416,189612,-1,-1,-1,105743,-1,-1,929257,164351,-1,-1,813984,-1,840361,-1,-1,990727,725184,100234,179535,540249,896605,967129,-1,-1,-1,379943,700624,-1,-1,521260,964571,-1,264754,537404,-1,259137,-1,219467,521600,-1,-1,361019,913343,530997,352032,605179,-1,487082,851432,724723,560784,770750,-1,-1,309915,-1,447356,62959,12778,852672,839272,711719,379200,-1,924580,79670,218714,-1,359179,-1,323723,371763,45118,40667,746848,-1,-1,246942,-1,287207,-1,-1,-1,-1,-1,641601,156340,344472,212219,307754,-1,715210,314308,-1,-1,705390,-1,-1,-1,590442,847059,197694,824056,-1,667626,-1,-1,-1,134132,-1,11020,837558,288601,615073,-1,560989,887948,-1,-1,-1,224092,608070,993240,-1,-1,-1,-1,-1,762323,259060,743560,501504,-1,-1,515246,-1,-1,876939,799577,-1,740431,372738,-1,-1,-1,-1,-1,319330,556235,-1,-1,-1,-1,-1,-1,-1,812129,896719,195863,562082,276602,561601,-1,-1,-1,419032,-1,-1,850951,-1,369948,-1,-1,-1,222921,-1,-1,-1,-1,-1,752024,-1,-1,-1,-1,-1,-1,-1,-1,618798,-1,-1,-1,-1,-1,-1,-1,891732,-1,482352,121073,390978,87752,-1,-1,-1,-1,-1,-1,283134,723260,540764,-1,143886,552314,-1,32507,-1,-1,-1,496484,-1,919567,-1,552419,-1,924375,-1,-1,748410,-1,-1,-1,-1,-1,-1,192217,148957,705304,856033,-1,802149,261256,19744,259864,828022,487531,-1,17422,901219,60789,353805,-1,-1,-1,-1,107402,256537,501118,765377,2562,-1,-1,297276,733403,669828,510160,-1,987333,-1,-1,900050,-1,-1,-1,592494,-1,860240,251203,-1,965124,-1,915558,415318,-1,709066,-1,472012,-1,-1,-1,-1,957623,-1,639532,313281,428539,588147,568573,-1,-1,-1,-1,88288,-1,-1,477525,-1,-1,839269,-1,-1,-1,192354,-1,-1,69747,-1,443751,78126,-1,751504,-1,72007,482679,315152,-1,-1,-1,365762,-1,-1,794725,-1,-1,919291,769830,-1,-1,537468,153060,-1,102276,-1,-1,930548,-1,-1,617757,474553,554697,-1,-1,-1,436192,-1,-1,-1,523596,633508,431504,-1,-1,368198,997715,647957,147194,27241,459669,578443,54266,586572,564814,-1,847801,-1,980113,-1,935533,155707,144379,-1,-1,-1,-1,-1,-1,-1,13836,-1,-1,-1,624208,517781,-1,182144,990469,555028,880616,-1,112384,-1,207811,-1,-1,-1,-1,258068,836317,113091,-1,-1,630223,-1,344913,-1,770847,-1,505009,762349,895021,-1,-1,-1,-1,-1,-1,874334,991611,-1,706431,663617,-1,114458,584800,-1,4694,-1,558148,278703,-1,796088,-1,-1,-1,42608,566699,825021,816126,-1,-1,-1,441823,74316,272904,683772,-1,407934,-1,-1,-1,-1,654365,484187,757286,-1,454484,674993,-1,741954,230120,430968,750446,-1,-1,-1,226827,306140,15766,888541,996062,-1,433896,687766,282956,-1,206939,-1,-1,144190,-1,-1,206602,-1,-1,754077,23993,287852,274001,-1,-1,35740,-1,122694,-1,179500,-1,-1,712842,-1,258652,-1,-1,-1,-1,173326,641885,-1,-1,327681,270543,-1,665926,-1,-1,973153,417838,-1,-1,954557,370325,-1,584425,-1,-1,-1,999215,599220,-1,562367,134204,385357,-1,227942,380631,149828,624685,925473,-1,-1,397721,614132,-1,-1,802247,718151,359207,46673,-1,-1,572726,713632,754013,-1,-1,759356,-1,-1,-1,-1,381896,481992,560750,851693,132961,-1,365462,687691,-1,335777,-1,896973,-1,220589,184734,-1,894835,-1,861932,557537,956700,-1,-1,879966,-1,758089,496969,-1,124168,501984,139506,-1,192281,-1,450799,794252,-1,738989,-1,440733,-1,279861,704765,200011,142806,-1,-1,36823,-1,653953,-1,-1,906969,-1,865958,-1,629690,827257,864949,-1,-1,-1,-1,-1,-1,-1,212015,945177,78437,206579,74612,440497,327393,36606,151046,-1,281452,-1,-1,405905,91820,-1,153673,65001,-1,-1,112255,561064,-1,-1,-1,191894,-1,-1,-1,328236,387120,79224,-1,954975,-1,327081,594397,126776,390607,-1,-1,-1,-1,-1,-1,-1,902285,351907,364234,-1,913280,-1,166829,-1,620820,531664,865066,937077,634941,-1,-1,-1,-1,959485,836176,-1,643013,-1,-1,-1,-1,945433,973034,937984,-1,-1,454210,661236,-1,-1,-1,-1,853506,-1,633542,253043,425685,356833,-1,327918,582,-1,291564,-1,-1,48496,-1,-1,821626,904833,245472,750086,-1,638568,-1,-1,-1,59250,151130,-1,-1,-1,-1,283560,382108,293107,100488,525291,251211,752956,980925,-1,955130,279422,-1,604665,-1,-1,-1,511327,628237,-1,-1,934705,-1,-1,-1,-1,983493,573410,612206,-1,445922,-1,265880,-1,-1,759848,916156,-1,909482,636295,777986,576320,-1,104061,949192,-1,910207,980737,568769,50254,-1,-1,-1,-1,-1,-1,672766,-1,-1,92881,-1,659356,319417,826202,-1,351602,-1,-1,752006,-1,-1,-1,211952,-1,-1,-1,264465,-1,621298,210880,100120,600220,-1,-1,-1,168032,8016,-1,10212,-1,33346,-1,-1,340881,-1,726086,-1,-1,137342,-1,414882,-1,-1,989849,141861,826948,-1,50596,-1,-1,329331,568382,-1,-1,-1,-1,-1,345384,846619,-1,848281,201206,788316,684743,-1,107496,590462,907449,-1,458926,949758,-1,-1,986242,-1,-1,659260,-1,84887,-1,17436,541665,660617,78766,364208,500079,-1,241768,-1,-1,507214,239550,-1,-1,-1,124544,768479,313156,163379,-1,-1,977767,378647,-1,-1,-1,95379,-1,165840,480534,-1,-1,-1,-1,-1,-1,790051,370404,-1,856932,-1,-1,-1,589165,-1,371780,131037,573948,994210,-1,521183,768574,-1,513801,128422,-1,-1,-1,475523,-1,-1,595011,-1,94993,-1,-1,-1,-1,-1,-1,-1,121773,638762,-1,847691,-1,20517,163373,684508,-1,549124,287531,-1,-1,-1,662973,-1,-1,390195,631397,-1,-1,-1,554019,-1,648884,379708,590956,526066,769072,95333,-1,-1,-1,-1,498693,680282,428615,41756,728583,-1,-1,-1,-1,-1,621352,440533,-1,-1,583087,-1,-1,265635,472728,-1,-1,881271,340164,-1,-1,465961,851445,-1,809986,985563,-1,-1,93159,929719,-1,330779,-1,-1,17609,-1,-1,394120,-1,-1,-1,395897,-1,733546,523864,973620,655516,-1,916372,-1,763542,-1,227968,22360,-1,852650,387312,-1,-1,-1,924880,-1,928880,-1,-1,-1,375382,-1,-1,205024,-1,631875,-1,536904,-1,-1,-1,-1,334079,-1,-1,-1,-1,157849,-1,-1,228512,396147,-1,307696,274095,8437,-1,570358,-1,660495,740196,823746,-1,-1,995647,293764,818511,116750,-1,578290,278111,-1,422223,-1,307136,-1,50191,378138,509382,-1,906045,-1,807792,665715,-1,-1,557370,-1,134027,439407,-1,82801,268911,-1,6962,408890,-1,827803,-1,688476,833774,346325,-1,642111,-1,404772,902088,-1,393051,-1,-1,717077,559369,-1,-1,69904,698151,-1,-1,-1,-1,-1,-1,845766,-1,301569,631386,-1,-1,-1,-1,708960,544540,-1,-1,-1,-1,-1,-1,-1,-1,794272,708281,703061,577493,-1,170837,-1,-1,164931,-1,-1,-1,316857,-1,-1,-1,341127,318524,803866,-1,373651,-1,-1,-1,299429,390372,-1,-1,-1,-1,299960,-1,-1,720595,-1,-1,747989,829971,-1,961138,490643,427102,-1,939812,153741,15235,344278,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,800429,783563,738675,652633,802378,-1,642734,129351,-1,-1,-1,-1,-1,-1,744730,729965,313652,479879,631850,-1,-1,-1,-1,-1,756825,-1,898382,106966,-1,-1,-1,-1,322678,97609,-1,984796,968391,-1,-1,-1,-1,-1,-1,36415,-1,321668,928825,197465,63380,363216,-1,-1,-1,-1,678100,-1,-1,911451,-1,429040,-1,563734,797245,587719,280687,-1,785134,-1,-1,526685,619171,-1,-1,646210,948749,918577,-1,-1,830649,-1,-1,599030,-1,512143,-1,-1,-1,907958,-1,430730,240194,455499,-1,-1,-1,73272,826165,-1,423002,903526,588429,188975,282770,800159,-1,666566,472595,-1,-1,572103,343110,663513,705500,915205,476868,617085,-1,400676,-1,-1,606350,-1,527327,693449,-1,121949,100286,211705,66267,-1,-1,774482,-1,-1,-1,258740,406756,999524,154170,13076,-1,174160,7810,328002,512729,-1,-1,-1,-1,-1,-1,565865,-1,-1,-1,-1,-1,710783,744210,263648,-1,-1,758507,929270,439645,-1,714975,-1,-1,937597,-1,912893,825095,551774,264977,853715,-1,-1,-1,271749,953621,590932,-1,205307,669239,-1,686356,-1,115620,-1,33519,-1,654889,-1,-1,573010,434181,-1,745266,-1,-1,-1,823138,804760,-1,803675,383424,-1,746893,847721,-1,407418,945642,482152,29572,729044,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,791937,724904,-1,103128,-1,881176,-1,879752,223651,-1,-1,-1,10986,291982,84871,-1,566843,391245,-1,-1,-1,443026,363874,-1,295555,-1,-1,420053,653583,418399,-1,-1,845601,-1,228601,-1,-1,617069,-1,360962,-1,-1,-1,-1,-1,380557,336971,346616,954224,-1,167863,925167,230077,23673,-1,-1,738354,-1,882484,-1,248534,-1,-1,773915,494267,804225,-1,-1,615305,867380,850447,792473,514498,-1,716110,-1,-1,177618,786188,156212,143536,207068,-1,-1,-1,7797,664243,732314,-1,-1,855600,-1,-1,-1,165348,-1,-1,-1,711768,628874,584502,-1,-1,447914,-1,266686,-1,740920,-1,227622,-1,-1,-1,73396,47905,-1,531447,-1,626445,485158,-1,-1,-1,532926,525086,837274,843437,142680,-1,-1,903520,-1,-1,-1,-1,-1,-1,783773,585580,-1,-1,-1,-1,-1,-1,-1,-1,862826,714887,-1,-1,375742,325248,-1,-1,-1,-1,309035,-1,-1,-1,-1,466006,911532,174305,-1,-1,893863,932247,-1,367376,717716,180684,-1,398718,-1,303599,-1,581636,-1,-1,215106,768790,-1,280563,-1,-1,-1,516983,-1,243310,432198,-1,231442,950577,-1,-1,321781,702536,-1,-1,667439,-1,423883,-1,553326,-1,-1,-1,38982,105728,-1,769597,-1,-1,715468,-1,625530,-1,-1,-1,-1,300974,-1,-1,-1,-1,545560,-1,-1,453558,129323,-1,561728,909887,-1,839397,701578,781524,-1,-1,-1,-1,809635,-1,-1,969478,-1,-1,44291,50243,877002,-1,696199,-1,585623,49291,-1,-1,804741,288800,-1,-1,-1,525737,-1,256841,611457,326662,-1,801472,-1,-1,991759,497012,308872,588834,476289,593995,-1,-1,-1,793620,-1,304933,-1,816181,-1,-1,-1,941981,566330,-1,-1,878879,598694,865977,-1,115801,266478,86240,-1,-1,21630,254980,-1,821783,-1,578346,-1,-1,467288,-1,11711,799898,643569,111160,-1,223420,-1,882836,-1,754854,-1,544878,943722,106793,-1,-1,-1,-1,-1,-1,-1,963909,-1,-1,-1,-1,81768,-1,-1,-1,156704,-1,-1,-1,956867,-1,-1,71877,772157,948008,-1,-1,-1,-1,-1,752897,-1,910340,-1,713549,-1,362689,-1,107207,-1,980885,26780,-1,236326,-1,-1,970841,-1,648350,48822,-1,-1,83492,617813,667540,-1,-1,749523,-1,-1,993928,952546,344552,930865,668728,698532,-1,-1,-1,-1,507981,-1,332029,60285,-1,98213,724533,-1,925355,362498,-1,580619,-1,99498,-1,-1,-1,720137,-1,-1,985583,494998,-1,853568,-1,-1,202134,-1,-1,-1,-1,-1,710026,-1,-1,-1,31479,-1,-1,-1,911141,322275,-1,-1,-1,643824,-1,-1,7967,-1,116876,-1,114759,989960,-1,-1,46545,427923,976797,672550,-1,942201,-1,424432,812676,-1,-1,409281,355533,-1,-1,292204,584873,-1,833635,-1,-1,868604,-1,-1,-1,942401,392074,-1,363544,-1,-1,-1,-1,-1,300432,-1,-1,97068,523282,-1,-1,-1,-1,978016,-1,108023,955995,370365,-1,232556,74081,760461,416811,133187,-1,471685,737945,645047,-1,47420,-1,-1,73590,-1,419672,526277,701582,69410,-1,665787,210229,-1,-1,144183,806113,-1,879864,607200,-1,-1,-1,316842,-1,423150,721701,-1,179655,783019,835418,-1,-1,-1,978872,-1,-1,-1,587292,-1,772632,988430,246592,-1,-1,-1,-1,281429,443534,552730,-1,394241,333223,-1,485863,100677,-1,-1,678464,482789,-1,-1,925945,-1,194743,15166,918231,456861,-1,451974,859288,179826,-1,-1,-1,961233,-1,-1,610549,931228,-1,-1,398474,525093,-1,754585,-1,193416,-1,668112,-1,321334,-1,-1,-1,277831,-1,827958,621546,-1,-1,-1,-1,976848,809707,226500,333353,-1,-1,41235,442343,602130,-1,367279,991348,-1,-1,-1,536205,263555,-1,-1,48745,861841,426928,44133,-1,518190,-1,492872,466351,-1,920159,836534,50579,-1,-1,-1,-1,-1,858061,-1,178141,876209,-1,-1,422928,-1,-1,372155,-1,-1,-1,426790,-1,-1,-1,201952,-1,187010,893161,810360,-1,-1,949286,860438,-1,228667,-1,-1,-1,-1,525255,-1,-1,-1,-1,-1,576524,-1,23074,189493,388562,-1,210069,312683,-1,-1,-1,576020,569571,191200,325379,-1,-1,642317,25141,522089,935630,-1,-1,150925,-1,633979,157292,327085,-1,-1,-1,643462,-1,-1,998027,959001,-1,-1,42366,798534,-1,-1,12614,810012,878201,415767,-1,-1,-1,770205,801285,-1,433825,-1,-1,-1,439038,588858,807469,728743,-1,-1,493477,752095,-1,786341,-1,-1,73274,-1,135414,839562,-1,937516,-1,-1,-1,-1,-1,-1,131552,21369,-1,-1,35907,540966,-1,229202,272120,262437,325803,452557,626688,-1,791471,570359,773592,-1,182624,375645,307386,-1,-1,464180,193555,25116,-1,-1,-1,153663,974763,-1,718288,730515,-1,275283,-1,-1,-1,-1,577347,-1,-1,307134,-1,-1,484612,-1,949091,-1,322888,231729,202126,719534,-1,814555,887211,504093,-1,85827,55886,120828,-1,-1,-1,-1,732663,-1,550097,-1,-1,-1,52150,303882,144600,385452,-1,559993,543783,321569,380745,748328,80577,11342,99350,-1,792566,-1,-1,-1,630132,867776,198643,-1,-1,156342,283384,-1,-1,642893,940051,525877,-1,848341,-1,-1,695919,-1,912268,-1,-1,872961,-1,-1,565871,-1,859872,-1,594509,362584,173245,595882,368670,384056,165341,-1,206437,314334,396440,601181,-1,311456,819258,910753,-1,-1,535914,-1,448549,-1,653111,874969,586816,-1,-1,-1,606393,-1,943153,-1,-1,-1,-1,-1,-1,995080,-1,181176,79546,-1,300034,-1,491710,-1,976810,402314,452227,332494,-1,-1,370154,-1,599969,567542,841372,322220,-1,653674,983683,386399,-1,835601,183428,-1,-1,-1,-1,-1,-1,-1,706478,711780,116120,769666,347700,-1,725924,707302,384244,-1,313121,21708,-1,-1,182936,-1,-1,-1,-1,808012,-1,747589,-1,818093,-1,919614,161480,965123,-1,-1,-1,539579,-1,-1,-1,568755,-1,230559,-1,-1,776203,-1,-1,951521,-1,559644,-1,-1,432536,424445,173834,-1,84201,143727,-1,441108,-1,-1,401490,-1,44694,166550,682108,-1,-1,653232,-1,304381,-1,-1,-1,-1,201523,454886,-1,-1,-1,-1,-1,-1,-1,923960,541799,-1,-1,-1,830193,-1,283576,-1,749782,689105,-1,-1,318541,-1,812761,760858,601730,-1,-1,278053,-1,877485,203235,550989,208767,131296,224225,-1,303493,-1,-1,93124,-1,28499,194069,506178,-1,715306,-1,-1,-1,16615,785712,792089,902750,-1,-1,-1,904365,-1,-1,-1,281473,251248,327730,-1,-1,775447,-1,-1,517056,-1,418389,-1,-1,-1,157879,-1,61985,572408,602345,295065,590601,-1,411338,414125,642901,-1,-1,-1,400397,-1,-1,440621,-1,-1,-1,554783,904694,-1,-1,-1,-1,338220,-1,21256,-1,506412,-1,-1,-1,407274,-1,-1,-1,933192,-1,407066,466278,-1,-1,-1,820501,793530,959517,-1,804866,810617,201928,330443,-1,789946,970200,-1,399389,250425,-1,553206,181022,-1,907114,-1,-1,-1,584377,193267,-1,714110,203563,-1,-1,790389,325636,-1,-1,-1,-1,-1,-1,315418,882110,-1,379617,729658,966207,190143,-1,-1,71343,-1,761214,-1,29037,708799,792123,-1,207384,-1,642426,-1,-1,124890,-1,398543,-1,430587,-1,462476,-1,331611,565404,14762,376173,-1,727353,-1,496218,-1,879449,-1,-1,-1,-1,-1,-1,-1,476643,-1,-1,973976,-1,-1,701977,466317,-1,-1,895565,836612,527414,-1,614147,-1,752803,-1,711217,720894,210195,-1,-1,-1,312621,718671,712904,-1,810272,-1,429262,46709,800358,-1,635159,-1,341613,97077,-1,-1,-1,-1,648212,57202,-1,-1,378116,65696,-1,-1,419390,160504,-1,279308,-1,707090,-1,903592,-1,835991,536006,184932,-1,361402,-1,-1,822134,-1,395488,-1,-1,-1,328045,-1,948567,-1,192449,145938,418517,874712,-1,901517,-1,434957,-1,259381,-1,914270,370258,-1,268191,-1,-1,398334,146120,-1,725620,814675,-1,645411,628322,-1,912906,250066,-1,-1,868063,649085,732439,-1,674819,-1,-1,903543,776687,617070,495428,-1,583516,-1,-1,594169,773601,646494,-1,877891,19161,-1,845301,-1,863569,-1,-1,-1,699511,-1,-1,-1,-1,570647,463959,654896,-1,406869,-1,-1,699954,154361,-1,241693,570951,-1,-1,-1,-1,118241,-1,981970,5302,835008,725703,-1,259464,-1,-1,430681,-1,651661,250811,313072,-1,838090,632166,222142,708538,56854,36531,694425,102685,19459,578528,-1,259634,198486,-1,357729,648082,-1,608250,816314,324976,119505,-1,167778,-1,786537,630796,611259,823774,868241,-1,-1,-1,-1,-1,-1,-1,120579,983992,-1,378219,-1,553222,-1,-1,-1,-1,-1,-1,361470,361761,994337,328286,-1,856427,-1,873164,272763,101112,874157,-1,555317,632381,294095,-1,-1,-1,-1,447081,626921,-1,-1,-1,973408,-1,-1,-1,649178,910143,882758,-1,-1,-1,7652,180680,920753,245181,571964,858497,153553,-1,446356,-1,-1,409585,312666,655966,-1,342906,-1,475518,702091,-1,-1,689373,5313,-1,213047,234218,95711,339535,-1,-1,-1,278621,299788,923546,-1,43700,-1,-1,-1,-1,545662,-1,-1,-1,-1,-1,683945,387857,-1,561905,403115,616882,424903,-1,-1,472414,124852,67135,797953,-1,-1,725850,676619,-1,-1,741721,-1,903341,-1,913632,-1,177164,780548,868067,-1,-1,673165,-1,-1,-1,417257,927160,-1,64808,857477,-1,-1,-1,282843,8242,832128,-1,-1,-1,979197,863980,299597,-1,-1,680072,-1,767507,-1,450488,292241,473616,-1,328556,359372,-1,905018,875376,-1,77855,-1,-1,-1,922203,310815,778127,965351,-1,317345,36106,-1,-1,-1,8146,-1,-1,-1,-1,417175,429326,-1,642004,204531,172155,927123,-1,-1,591133,869660,-1,-1,749572,995468,-1,698308,-1,316907,-1,142654,57685,-1,172,-1,874383,819403,268231,522908,456607,4474,-1,331401,-1,224538,140767,-1,490451,670249,-1,203468,-1,780683,-1,-1,976790,809091,-1,-1,-1,-1,447718,101046,-1,807067,578950,55742,-1,620767,151981,-1,-1,896266,310490,625157,830647,981475,-1,-1,-1,817816,640534,740154,-1,-1,-1,853728,72717,-1,-1,361963,845603,946799,14301,-1,-1,648890,299350,-1,108313,-1,517517,-1,647849,-1,-1,-1,252406,501397,-1,-1,-1,271249,231792,14644,24893,-1,-1,823678,-1,837460,176045,513886,-1,444360,-1,-1,-1,-1,963157,445162,-1,-1,-1,625587,533636,102454,-1,517285,207743,569226,-1,251005,865822,831018,-1,-1,784098,-1,461416,773693,73197,-1,-1,169954,623945,565855,-1,348547,-1,869944,-1,881688,-1,-1,181738,508960,-1,431942,675719,-1,936892,494352,975117,-1,-1,734721,583338,-1,-1,-1,-1,339384,-1,132042,216319,219556,-1,413630,-1,-1,-1,-1,-1,460937,-1,754757,297298,787956,-1,425918,661551,735074,-1,886840,-1,31500,-1,-1,-1,455486,394653,-1,-1,-1,-1,207132,854935,436610,-1,-1,-1,-1,436134,-1,-1,-1,710786,-1,982695,354806,-1,462577,-1,26353,-1,-1,643325,228811,530512,436564,807056,900475,201756,-1,674847,-1,-1,251201,321178,737233,994490,-1,990291,538385,858011,649345,-1,-1,-1,401068,906341,-1,914398,-1,103630,520908,-1,170840,895120,-1,350321,950839,-1,-1,970533,-1,-1,-1,-1,-1,-1,788721,360204,-1,471530,-1,-1,-1,962496,689649,-1,-1,-1,179767,-1,782469,-1,-1,-1,659864,979140,153623,-1,988902,-1,852110,-1,-1,566451,329058,-1,-1,554996,357665,-1,172840,-1,89403,703451,-1,945702,852151,-1,636213,162147,-1,880160,400652,975598,943562,405056,-1,-1,-1,776726,-1,-1,32872,34836,-1,-1,260156,9499,-1,-1,-1,-1,349859,895638,-1,209288,806396,185189,-1,-1,264122,381376,-1,-1,-1,947173,-1,153652,80735,405322,318469,381665,65592,279972,-1,897760,584336,-1,162389,-1,452554,269985,-1,-1,935792,91943,658982,-1,-1,496823,-1,-1,942721,-1,-1,253371,-1,-1,-1,319282,91086,207191,-1,71029,658376,892536,716910,-1,-1,535378,-1,-1,277107,143453,-1,178658,466451,493037,550984,-1,36035,393610,-1,-1,-1,-1,664007,572075,-1,750261,-1,924403,415040,287974,244328,448363,112545,928724,-1,469217,389998,889994,292843,283127,-1,-1,541982,900265,946664,-1,130619,-1,-1,-1,-1,-1,305203,817399,337760,306354,513838,-1,-1,343324,775502,985659,-1,641449,69710,449050,-1,-1,513188,575902,-1,864222,461337,397830,151626,-1,-1,-1,615260,988512,-1,-1,-1,-1,61860,-1,-1,802254,-1,77431,-1,448635,-1,924910,163542,189136,731607,411520,563804,-1,456562,-1,-1,-1,-1,519023,-1,650634,176342,-1,-1,-1,-1,-1,131499,-1,-1,591390,-1,-1,108384,944332,903109,868145,-1,391615,-1,397501,-1,23300,-1,-1,-1,487106,-1,-1,472960,-1,-1,526827,876279,729825,-1,960536,451411,62375,-1,809519,731209,645178,483879,609431,-1,165342,-1,-1,-1,992252,930070,162328,801190,-1,858858,-1,400064,803712,53872,-1,370307,-1,-1,-1,-1,725956,-1,-1,541297,598991,581661,-1,-1,-1,-1,-1,-1,-1,187642,-1,-1,94693,-1,-1,167001,148570,560247,-1,-1,-1,-1,952788,-1,212487,-1,-1,-1,918094,262476,-1,122602,-1,-1,-1,376769,-1,-1,-1,-1,499511,47882,724211,-1,446941,-1,88679,703304,398641,-1,-1,222388,447154,-1,-1,-1,558755,654804,-1,-1,178893,724438,-1,-1,-1,565893,-1,497233,415169,-1,-1,-1,379778,-1,-1,-1,793136,-1,-1,-1,-1,178280,544893,-1,399643,-1,486780,-1,-1,-1,-1,620981,-1,-1,223932,384996,-1,-1,607862,-1,896115,286122,192587,-1,-1,-1,-1,261609,-1,-1,406442,994327,-1,742286,2285,834886,889571,878065,78973,488875,-1,-1,676045,323896,328701,-1,626984,-1,676966,214106,-1,297189,618746,-1,-1,-1,88521,-1,9427,-1,799703,56016,965644,600544,773761,906317,-1,660912,699935,-1,234729,947183,-1,-1,803923,52917,-1,-1,-1,-1,-1,-1,894740,548031,493076,-1,-1,-1,348611,-1,923068,298992,139231,-1,319164,74963,-1,784050,-1,974042,-1,775646,920475,-1,231691,732083,237214,-1,-1,-1,845648,-1,-1,-1,38203,861575,-1,-1,-1,-1,-1,409646,454531,692636,-1,514030,-1,-1,332742,462936,992977,-1,-1,352479,707690,-1,-1,502871,489989,925821,65266,329083,-1,-1,-1,-1,-1,292341,597414,-1,93544,496989,200723,-1,-1,32637,-1,935845,902050,698181,-1,333109,44990,725445,945507,210258,247179,-1,-1,971217,-1,-1,278808,966775,-1,-1,-1,-1,488452,-1,-1,-1,35742,117146,402959,-1,213119,-1,625887,731208,437389,-1,-1,-1,-1,226766,967735,-1,830713,456370,169264,-1,579652,174181,-1,156300,459979,-1,-1,-1,-1,748878,-1,-1,-1,-1,251080,270201,-1,490683,-1,-1,663540,-1,741511,95074,943006,964277,31465,914941,164766,787919,-1,647287,903258,875725,541256,979658,-1,-1,-1,-1,-1,879815,312209,410496,-1,-1,-1,198670,-1,588457,620914,651231,837232,-1,374072,-1,-1,86777,-1,24810,-1,643620,-1,993924,208007,-1,-1,-1,-1,-1,720494,-1,255427,-1,-1,353444,54354,-1,-1,-1,-1,-1,-1,819285,757712,74583,813182,-1,789488,-1,-1,905218,-1,-1,-1,-1,372297,-1,604725,-1,-1,782395,-1,-1,798694,678335,62535,980888,-1,210913,781671,-1,129126,944667,-1,292557,508618,260366,647885,205923,-1,-1,-1,371440,960512,699057,-1,111593,267542,-1,-1,-1,922878,-1,-1,690722,-1,58005,209939,-1,-1,-1,-1,-1,-1,924534,-1,714714,-1,372655,-1,597534,421668,-1,-1,-1,-1,28848,-1,547226,547247,-1,477733,78271,-1,272588,39027,-1,558908,456163,210959,-1,971957,533890,-1,969414,299677,587612,-1,66828,-1,419744,120162,-1,538116,-1,-1,-1,662443,684555,420483,201063,766462,-1,867303,546959,-1,387575,167688,-1,-1,-1,622808,368538,998702,217718,475531,-1,560967,397912,-1,218483,58313,400041,962192,892303,-1,-1,-1,-1,-1,-1,47835,-1,-1,-1,-1,956415,556186,697908,-1,-1,408197,978208,951743,833905,-1,-1,323557,-1,-1,-1,-1,866066,-1,-1,798217,-1,506848,746082,-1,-1,813229,164945,-1,726201,132403,865963,979049,158212,598010,558134,503635,397493,396848,231962,-1,151125,-1,-1,-1,926244,277553,94643,91696,889542,375068,-1,151887,485815,19517,-1,885505,-1,947136,815440,926625,-1,-1,-1,-1,775273,132125,-1,-1,-1,503404,-1,294885,725872,-1,-1,216342,-1,-1,731177,-1,-1,-1,-1,-1,621694,-1,-1,-1,672006,-1,-1,587217,-1,666594,460913,496709,-1,460337,114098,459176,-1,861603,345917,-1,186439,-1,-1,-1,-1,397698,-1,896432,726105,809739,-1,410317,-1,220064,-1,-1,585805,-1,-1,-1,-1,522121,-1,-1,-1,371318,457246,-1,-1,-1,-1,-1,-1,-1,907862,637595,-1,227471,-1,536913,-1,-1,-1,858544,-1,-1,539541,-1,-1,232006,-1,114307,-1,-1,60859,-1,767059,271251,-1,67626,-1,178443,-1,-1,-1,-1,-1,-1,984468,-1,-1,987072,941078,-1,-1,326594,519537,876032,-1,-1,-1,180573,-1,292195,989674,204984,226639,-1,323806,-1,-1,-1,-1,968022,321619,-1,-1,146634,-1,-1,744753,-1,671825,939028,-1,269256,137788,582652,-1,772625,613414,559425,434537,526043,-1,-1,481294,-1,-1,152981,905856,280038,291304,-1,966973,-1,643851,-1,654799,-1,-1,181843,-1,-1,-1,657105,547879,-1,61725,-1,-1,-1,-1,-1,531880,843965,504199,883124,-1,326625,-1,475927,391204,-1,-1,-1,-1,483842,-1,-1,-1,861649,-1,301007,561229,249517,699135,914770,930591,364629,359016,-1,671446,708753,-1,712883,-1,-1,999734,201790,-1,-1,-1,-1,-1,-1,515252,611385,932596,328193,642444,530757,-1,-1,388353,-1,423193,947758,-1,366695,-1,-1,-1,948463,977332,-1,800828,-1,461775,-1,-1,-1,-1,980040,75466,828809,-1,807383,-1,-1,-1,491296,996662,-1,-1,-1,-1,-1,-1,375074,143751,-1,-1,765483,939618,665695,5109,508383,891196,521494,-1,140770,-1,369441,896580,403924,-1,524990,85581,-1,-1,-1,-1,-1,196994,-1,-1,-1,391215,-1,38826,-1,-1,325070,-1,371605,-1,800408,727877,801097,928997,-1,-1,-1,230299,-1,414628,694444,-1,791730,604700,592925,-1,146335,618221,700090,347977,-1,-1,-1,764892,-1,351216,233405,641916,676580,-1,-1,824277,500546,855460,-1,894049,260346,-1,-1,-1,69635,-1,-1,-1,-1,228020,396688,-1,-1,258271,-1,-1,900107,-1,-1,-1,-1,6523,821802,-1,809146,256968,-1,219286,259112,638635,-1,-1,65370,765771,798726,110142,-1,186705,-1,18814,514229,535327,439804,439313,188661,-1,96842,419414,649751,191844,534624,791733,-1,597451,896979,-1,-1,-1,-1,1670,500319,994651,418784,-1,609296,811085,-1,-1,-1,983558,39499,-1,29624,-1,856704,6679,-1,-1,-1,407357,-1,-1,250418,401631,689868,-1,-1,-1,-1,73441,227735,987806,532481,947870,579330,-1,147639,482830,-1,291762,-1,-1,-1,-1,240901,-1,390321,-1,-1,706002,-1,395276,683571,-1,-1,-1,276044,685466,934588,119441,-1,358063,-1,-1,-1,-1,-1,89780,-1,835510,-1,-1,965620,368135,725506,442326,-1,-1,850305,-1,-1,71000,-1,-1,-1,462028,-1,-1,-1,82626,547483,-1,-1,-1,-1,-1,-1,-1,-1,154904,-1,-1,263969,380784,-1,-1,297907,-1,610902,550402,698157,803912,-1,-1,-1,-1,-1,-1,-1,202894,332078,-1,-1,-1,-1,-1,-1,921828,769221,834454,79621,-1,-1,-1,-1,334866,57654,-1,213471,-1,-1,-1,859262,690581,553034,641536,463158,243800,177175,423678,258336,193041,-1,548891,625824,26071,-1,-1,-1,-1,717125,-1,-1,-1,-1,682103,-1,-1,-1,-1,-1,722793,-1,-1,-1,-1,-1,629264,489295,-1,-1,152268,442306,-1,-1,910397,-1,-1,914555,-1,-1,850970,25111,620744,-1,-1,-1,650069,963456,537794,239191,987021,512929,-1,-1,892392,-1,710717,-1,61512,46675,923472,-1,-1,-1,414768,-1,-1,-1,-1,249197,736871,-1,-1,-1,-1,-1,542106,544637,-1,745239,-1,737338,641934,797927,-1,109816,328545,224461,566920,-1,-1,-1,-1,-1,-1,-1,221797,35267,-1,469164,523457,783426,-1,-1,291155,554355,-1,-1,-1,-1,130411,788167,771638,784536,910255,980924,-1,-1,298964,-1,898803,-1,520151,897912,-1,-1,384419,617098,-1,-1,766477,-1,551084,-1,-1,443738,-1,-1,-1,-1,668844,730161,-1,-1,-1,-1,803558,491582,-1,223892,806995,400310,786867,-1,-1,956164,-1,236587,654176,-1,-1,-1,455615,-1,-1,-1,614694,53769,167779,-1,265214,505278,-1,-1,-1,112284,621988,-1,741261,-1,-1,-1,-1,496678,489891,922208,-1,930790,-1,381319,-1,661655,-1,924986,713642,951901,-1,619900,259941,829479,415901,630759,735843,504635,-1,-1,-1,440936,244071,413392,-1,415921,131491,-1,-1,332198,22540,-1,-1,-1,69450,-1,-1,-1,-1,991653,244307,-1,254010,-1,389338,440123,456530,84997,611719,66486,-1,569539,552374,-1,-1,-1,-1,64298,522950,92426,88763,53901,-1,-1,752117,-1,757561,529411,97456,-1,-1,-1,-1,-1,580365,529187,173004,-1,350864,-1,241322,-1,-1,-1,-1,-1,-1,-1,171177,160143,272924,-1,881367,477238,147504,629721,-1,963948,434492,-1,918773,135978,429432,-1,328198,451853,-1,-1,731497,-1,-1,-1,592088,-1,581835,-1,-1,808500,-1,-1,-1,-1,559329,-1,268219,104429,-1,153034,484805,-1,-1,-1,622837,-1,906263,-1,528576,-1,760319,683779,-1,511836,505722,-1,-1,-1,-1,354034,-1,529152,104663,-1,677224,62289,185185,-1,-1,894008,176962,-1,197088,671713,97275,392963,216584,772566,189508,577064,-1,-1,-1,936715,-1,-1,-1,64318,469753,67694,498424,252784,9306,926922,753495,-1,306612,879064,779691,383035,153568,598707,289366,-1,-1,858388,758082,595816,-1,-1,-1,631913,870904,98169,491575,437778,-1,-1,307729,118465,809012,-1,-1,-1,-1,-1,-1,-1,534085,547951,-1,-1,833221,-1,-1,683359,15827,279046,-1,652952,-1,528933,-1,989291,-1,987677,-1,567746,839393,730502,-1,-1,-1,-1,-1,46349,-1,237864,-1,236826,570373,540553,593578,817092,408483,-1,783975,223529,-1,587261,988211,-1,-1,-1,-1,-1,-1,31928,126572,-1,-1,-1,557783,332802,696919,-1,426779,-1,566345,971525,-1,631283,-1,-1,382886,286570,937062,-1,-1,292528,247880,381645,-1,-1,691560,14336,664605,828087,-1,343072,672412,-1,378626,380425,715135,617456,117234,235268,-1,22612,824104,-1,-1,-1,-1,-1,179275,-1,778216,-1,152642,227939,634430,660398,852121,238019,-1,133288,-1,579516,-1,-1,-1,-1,-1,-1,-1,529108,-1,384989,-1,-1,199325,941402,828316,-1,-1,-1,942945,848068,-1,-1,-1,-1,-1,-1,-1,696980,-1,554494,-1,-1,862457,-1,-1,-1,238657,-1,832514,-1,717188,-1,-1,-1,381139,82716,416363,-1,413365,767871,4096,-1,411771,701531,791043,283986,-1,536364,932983,-1,-1,-1,-1,542006,-1,17660,947204,-1,332193,136239,987885,311437,-1,613255,-1,-1,816240,359101,-1,68022,467965,-1,-1,716194,-1,-1,-1,597660,568342,999619,-1,554941,102071,675495,-1,-1,793455,863956,997081,-1,-1,859736,267923,-1,272776,504803,351290,-1,-1,953310,-1,-1,-1,-1,-1,-1,-1,-1,908548,348299,-1,274750,-1,-1,-1,756223,-1,10674,988481,-1,348674,-1,-1,-1,14531,564717,-1,-1,-1,-1,-1,774131,476664,655363,622536,689437,103876,767002,204459,524553,406799,653478,206124,299616,277375,919022,-1,-1,-1,620298,-1,873036,92014,-1,850452,-1,-1,-1,853086,879989,782930,137063,779895,-1,397857,-1,154433,-1,213536,-1,929535,-1,-1,63719,718146,-1,-1,932174,450367,728487,115588,-1,-1,332473,671392,641339,694934,-1,-1,507116,-1,303571,-1,-1,229745,-1,220496,-1,-1,522273,-1,141789,943445,-1,-1,792714,786146,430130,594123,-1,-1,-1,-1,-1,-1,584905,-1,917021,-1,946644,-1,570496,23317,842495,129096,273309,676313,-1,69568,-1,-1,-1,-1,966966,601665,-1,441516,209403,-1,-1,-1,486340,-1,673643,-1,82100,-1,-1,-1,-1,420263,325140,135655,-1,13802,-1,45689,308108,-1,169334,-1,459045,696032,942062,-1,-1,73150,-1,-1,801104,129586,830189,123838,935043,-1,804951,-1,-1,-1,536469,730297,-1,328572,-1,630462,-1,918854,-1,-1,-1,-1,474533,-1,-1,-1,-1,161877,-1,-1,639452,602059,-1,521753,-1,-1,84965,88811,513910,268327,230325,444023,589121,833049,720842,717596,578584,495149,982256,798193,104707,213598,-1,-1,694470,-1,951135,-1,-1,736378,-1,-1,93961,738629,648555,495270,-1,946199,870930,-1,-1,306174,-1,-1,-1,335170,-1,-1,209090,838639,337357,-1,777263,629433,746936,-1,-1,-1,-1,866955,81248,947763,-1,-1,-1,-1,-1,-1,-1,-1,523148,146780,-1,45841,329101,-1,420367,-1,-1,95731,-1,-1,363607,80248,-1,649441,430955,897811,-1,-1,-1,-1,-1,-1,-1,-1,-1,535223,399001,102299,-1,-1,-1,283370,-1,-1,-1,-1,-1,868094,-1,932062,-1,956443,-1,-1,673013,997843,431036,987564,168511,185009,-1,-1,103929,600888,-1,-1,-1,537316,-1,-1,291357,-1,703796,-1,19349,634019,462800,488477,99575,-1,81495,592935,429551,-1,-1,-1,-1,-1,-1,-1,751718,-1,-1,338408,-1,-1,285028,980992,-1,-1,-1,-1,-1,-1,-1,-1,619420,534025,652720,-1,628528,-1,81800,-1,888765,-1,-1,101802,-1,-1,565,877024,-1,454813,306227,860151,102722,915999,-1,-1,23128,-1,493943,-1,-1,266662,705256,81048,866204,928069,240384,-1,-1,838777,-1,-1,48158,-1,-1,805255,-1,162067,980948,573899,321258,-1,199636,326610,361316,742688,-1,-1,-1,-1,-1,-1,-1,-1,-1,793834,-1,21884,790361,-1,-1,87847,188364,617079,26956,580309,678654,703996,140341,-1,-1,-1,-1,885417,-1,-1,305997,-1,347578,-1,-1,884111,-1,-1,-1,604714,-1,838121,-1,-1,-1,-1,597245,-1,-1,939743,-1,301082,-1,-1,581643,767814,-1,24503,-1,633645,-1,-1,-1,512381,967201,-1,864783,834941,-1,-1,26293,806817,34533,212145,-1,-1,-1,942620,-1,306879,295781,-1,389909,40473,675461,-1,770605,-1,919679,539875,739370,-1,-1,-1,540646,834194,891701,783721,-1,-1,-1,-1,552087,-1,871688,107222,348033,466103,-1,-1,-1,716922,-1,134975,-1,-1,88596,-1,802470,-1,294186,238269,766149,-1,132319,-1,778296,637519,-1,-1,-1,308481,654790,151106,675570,-1,88985,611281,82051,916987,504566,-1,-1,-1,-1,-1,623595,672096,702518,917917,165176,949433,865501,-1,334447,842599,54513,-1,414515,-1,486674,-1,-1,375363,892727,-1,-1,-1,-1,-1,-1,219473,-1,-1,789303,-1,-1,-1,-1,-1,-1,-1,-1,943914,-1,208147,267175,592898,255731,788438,207532,-1,978428,-1,-1,-1,-1,271012,-1,-1,407863,293583,914016,-1,-1,-1,-1,971535,480789,8807,-1,-1,188822,-1,-1,-1,-1,-1,-1,-1,-1,351912,-1,927612,156327,-1,-1,135009,718519,-1,542440,-1,-1,661030,729134,-1,328013,-1,-1,50720,-1,803088,894429,869669,-1,-1,-1,-1,-1,-1,-1,-1,252133,-1,482684,921269,-1,-1,-1,-1,441105,-1,-1,-1,-1,464274,-1,83049,23893,-1,-1,161572,546247,-1,346752,-1,-1,-1,119063,155356,760583,321532,-1,-1,-1,-1,-1,330424,-1,-1,-1,195408,39730,-1,591749,-1,299256,-1,-1,-1,-1,-1,-1,-1,465919,122896,638593,-1,-1,114879,-1,-1,-1,934356,-1,466414,-1,-1,-1,-1,788223,-1,566706,999072,-1,-1,130237,-1,591832,151957,-1,945489,906091,-1,714657,176218,-1,386904,654681,-1,-1,-1,-1,-1,161443,-1,650690,871225,-1,736,401231,923671,620051,-1,-1,387828,-1,971426,909921,279279,601285,-1,502852,188466,-1,477953,-1,956863,892241,484150,479750,-1,567780,500541,173418,-1,-1,-1,112034,-1,659050,-1,-1,959970,826400,701465,900555,-1,511280,485201,-1,-1,-1,-1,-1,622599,-1,-1,-1,569099,197810,112988,29458,-1,838497,637233,-1,568940,-1,-1,-1,2535,-1,-1,400631,-1,343860,609242,758585,70069,430403,-1,-1,-1,427538,-1,251728,184216,-1,490622,-1,811946,-1,-1,-1,-1,-1,979526,-1,249783,-1,828853,-1,-1,-1,672750,353913,-1,-1,-1,-1,831475,522118,-1,-1,974462,-1,812368,-1,-1,-1,92283,-1,-1,-1,644376,795558,966708,113444,416663,626209,-1,-1,155466,787239,61952,-1,-1,697384,786153,-1,830345,418989,411379,474458,292223,-1,592089,479208,-1,-1,-1,-1,358815,-1,95775,275158,315035,738560,-1,-1,169805,-1,866722,794144,-1,-1,553969,233703,736884,-1,-1,99538,-1,818857,-1,-1,-1,496111,-1,917640,-1,-1,-1,-1,-1,-1,-1,934451,21136,-1,991214,-1,877097,-1,-1,-1,-1,810621,-1,-1,88783,634908,203276,-1,-1,-1,494520,889762,847582,87276,417928,-1,853177,80061,-1,532615,-1,-1,392226,911816,-1,606980,448843,-1,-1,804197,-1,-1,-1,-1,74916,407595,-1,-1,873082,52444,-1,908113,-1,-1,627763,-1,821211,470836,-1,-1,774120,-1,783848,132283,-1,-1,695760,111958,350663,-1,-1,-1,-1,485248,-1,-1,-1,452083,-1,-1,-1,-1,957447,839752,973083,-1,-1,391973,-1,-1,-1,-1,-1,-1,-1,938931,-1,-1,750103,-1,-1,796199,-1,348464,472607,944269,-1,-1,-1,-1,-1,-1,923498,-1,-1,516570,-1,541326,-1,-1,401946,-1,-1,175898,-1,333172,685599,249190,-1,-1,95742,347942,-1,-1,-1,-1,3181,-1,-1,147712,-1,-1,564059,868538,-1,178924,-1,-1,691144,-1,796,924293,316565,-1,429026,731569,-1,50558,-1,-1,245355,-1,-1,-1,-1,-1,838745,-1,35862,190729,462750,-1,607918,552248,843400,-1,-1,481318,-1,-1,-1,-1,-1,-1,608705,-1,-1,-1,-1,685040,291671,145502,561267,126151,963541,-1,776329,605589,-1,798789,884643,-1,881807,109421,910237,-1,-1,716504,-1,442065,731979,-1,-1,-1,-1,-1,754176,23229,979041,-1,847246,799605,-1,-1,193032,283128,-1,-1,434445,-1,-1,233701,-1,-1,504937,-1,-1,-1,227095,-1,587688,541534,339566,-1,-1,48975,-1,-1,-1,-1,-1,373686,101929,974762,588538,-1,-1,863254,-1,694601,489159,-1,-1,-1,-1,-1,-1,941855,-1,16117,55973,140535,-1,185256,-1,836391,177752,-1,-1,307185,433323,883649,991916,-1,44462,464338,409495,-1,-1,-1,896748,-1,-1,-1,816640,-1,-1,332770,922316,203350,-1,-1,-1,-1,-1,935837,-1,880768,-1,-1,-1,-1,-1,-1,37036,271116,-1,847361,628368,-1,111872,-1,-1,-1,-1,-1,560502,-1,-1,-1,578534,973917,-1,-1,320395,963585,858248,-1,-1,-1,362213,-1,-1,61193,212561,-1,-1,637648,147041,-1,643811,95550,-1,-1,598389,596616,-1,-1,-1,622898,-1,-1,-1,-1,227121,-1,-1,-1,-1,-1,-1,383677,-1,-1,-1,-1,-1,-1,352219,-1,-1,120817,449017,814218,-1,617800,554999,428799,-1,-1,227833,973906,218793,-1,-1,-1,-1,140396,708858,404601,-1,-1,717179,-1,969372,171275,-1,-1,76577,786753,-1,-1,-1,663800,-1,378235,544193,-1,-1,-1,250195,-1,-1,-1,539702,894613,-1,-1,-1,-1,505955,-1,636101,929307,-1,296052,504064,-1,196116,28536,-1,-1,556035,-1,154023,-1,-1,-1,-1,521229,-1,-1,892532,-1,-1,-1,540979,-1,-1,783838,-1,-1,900073,-1,272997,123322,-1,-1,138061,814468,-1,576638,-1,-1,593024,-1,-1,847882,913810,-1,497969,-1,-1,-1,-1,263539,327497,382092,-1,492883,-1,-1,967981,-1,522431,-1,898853,438912,59948,-1,341105,896985,-1,-1,824936,-1,423984,25080,533642,-1,536525,-1,-1,170938,-1,-1,-1,-1,-1,-1,-1,-1,-1,10433,524740,-1,892850,-1,-1,-1,-1,410294,-1,606446,48430,167855,-1,107661,545404,635480,-1,446228,592059,815709,-1,-1,-1,-1,-1,-1,-1,-1,-1,358954,-1,-1,-1,585366,563365,-1,577742,150003,521245,-1,-1,23513,741899,-1,358763,-1,-1,722691,-1,192120,970198,-1,785275,-1,728671,174788,643118,-1,-1,-1,-1,301483,61818,-1,384058,-1,204121,984902,13453,-1,-1,803221,-1,-1,363884,768620,-1,490792,69213,15699,-1,879929,-1,-1,-1,-1,-1,786220,-1,629172,-1,880679,712583,-1,768289,893177,-1,947928,405034,-1,528498,-1,570673,480704,397239,-1,868413,-1,-1,188483,-1,838000,327529,156292,-1,-1,639111,558505,833287,-1,985941,-1,-1,265830,843643,-1,402243,-1,-1,56073,-1,-1,457822,772246,61102,-1,76984,-1,-1,792145,-1,206992,455748,545853,-1,-1,880507,-1,178079,-1,-1,-1,-1,737706,-1,701175,553662,256613,178216,-1,-1,152781,68529,-1,-1,311286,-1,359429,121040,-1,763856,-1,893515,33316,147263,-1,-1,166083,-1,647996,478403,997969,328014,-1,100265,-1,135926,10250,321053,428647,-1,622959,132215,262711,-1,-1,901440,456627,280136,-1,-1,174333,902986,-1,-1,831194,-1,-1,201275,-1,173220,692980,114489,905169,-1,61785,321423,806416,-1,-1,-1,641646,-1,817779,-1,-1,404590,834774,848978,552571,602293,-1,346256,70329,54138,934599,394528,998881,960355,-1,-1,425942,-1,257192,172968,601492,367961,-1,-1,-1,-1,789251,-1,-1,-1,779584,420457,876173,498635,-1,733528,26007,-1,-1,-1,267218,813631,-1,-1,-1,-1,-1,134128,-1,-1,-1,-1,-1,-1,631186,1700,477734,-1,929274,324372,582496,-1,-1,43078,-1,-1,560788,-1,606117,-1,-1,61589,-1,279498,776170,-1,848348,709055,-1,661044,-1,245118,-1,-1,-1,-1,455913,-1,81206,633758,433824,661458,895675,86494,-1,385326,-1,-1,-1,368201,-1,205358,962231,-1,938737,86398,-1,239505,-1,153363,-1,-1,-1,843323,-1,217884,580148,654353,427321,453695,704223,-1,-1,684899,-1,135229,-1,-1,417170,-1,122948,-1,38371,162101,-1,732950,-1,968538,-1,892320,-1,234996,219852,-1,406320,159277,-1,-1,-1,-1,-1,-1,896846,-1,-1,859813,432758,74496,-1,304089,774769,-1,-1,506858,398346,192456,-1,361874,973173,-1,118543,818267,-1,-1,-1,211263,-1,-1,-1,-1,535310,640763,-1,-1,-1,166648,-1,456441,587314,311121,665939,-1,-1,-1,-1,86218,231238,-1,276720,-1,576840,-1,-1,-1,-1,403717,-1,-1,231331,213245,532359,-1,-1,-1,-1,952810,-1,920743,362711,-1,-1,719750,598214,-1,290323,-1,-1,603952,122464,259123,-1,-1,160286,-1,760645,311241,50000,877119,-1,890197,46136,957585,765991,14444,156189,531214,-1,805977,286412,563322,-1,-1,-1,43545,-1,-1,-1,-1,159512,-1,-1,-1,-1,713132,-1,642425,32146,125160,-1,-1,213960,348909,-1,-1,476781,-1,127967,684977,58600,-1,557216,246743,135796,785731,798293,67410,165819,-1,-1,-1,-1,-1,935027,-1,939225,875400,-1,826092,-1,-1,-1,863062,585968,687106,-1,-1,900757,969618,941024,17732,962464,-1,120832,-1,587285,791918,916008,205164,195724,713635,134489,180394,-1,-1,-1,51530,-1,102750,907369,162533,440815,634020,-1,853356,-1,-1,105177,-1,22882,-1,-1,624219,762808,-1,676074,-1,-1,-1,-1,132760,-1,55097,800116,-1,977236,-1,421443,539308,964122,567526,-1,123364,-1,136568,-1,-1,-1,-1,967227,-1,-1,908166,-1,954305,22122,-1,-1,265235,-1,897798,692736,929937,-1,-1,39262,-1,-1,884818,-1,148384,969639,647719,546687,837915,330214,41705,841509,239523,-1,-1,-1,816288,922850,-1,446942,166731,-1,-1,-1,-1,29836,501627,592173,-1,572952,155865,-1,955342,50022,-1,-1,-1,703083,-1,-1,458414,578928,909837,-1,894027,763899,805746,-1,-1,-1,-1,-1,-1,986740,-1,-1,-1,808011,-1,-1,-1,-1,-1,496532,17301,-1,-1,10585,413151,737018,999289,-1,-1,155355,50967,940700,160580,793239,897946,309800,663429,-1,-1,-1,-1,-1,724737,624603,770629,615901,212465,290130,957112,-1,-1,-1,-1,-1,919304,-1,777403,-1,-1,-1,-1,169085,-1,949414,21583,-1,-1,-1,876057,255773,-1,-1,20266,880316,841541,923515,-1,614208,-1,581294,968977,-1,-1,-1,563263,417745,304598,-1,-1,336875,-1,966010,176826,416407,225011,947687,604243,-1,122423,96181,481169,415802,-1,901961,-1,819691,958174,632252,666820,-1,212814,923376,536680,-1,-1,-1,-1,389557,-1,133050,293246,984367,727211,187848,971574,-1,-1,674619,12974,-1,-1,975268,-1,-1,787425,452049,889142,378058,87909,234673,713393,-1,354948,-1,-1,-1,-1,-1,137495,-1,471098,266780,-1,911381,-1,787935,-1,-1,345331,209439,83343,-1,890744,898824,797602,396834,-1,20009,269341,617884,900970,-1,-1,-1,-1,37947,-1,-1,248324,918732,116234,308486,-1,921944,-1,478027,936400,-1,-1,440577,904809,-1,-1,592030,-1,604506,639227,408775,453351,86143,-1,800871,569964,-1,635973,-1,740888,-1,-1,950298,-1,-1,686897,-1,-1,-1,-1,597902,-1,762354,-1,-1,-1,-1,84376,-1,948225,722308,-1,168536,-1,249284,-1,510301,-1,271984,990566,151228,-1,184411,-1,24215,684157,431531,-1,-1,98386,300592,620096,-1,-1,230287,-1,743027,-1,199472,967934,-1,257193,-1,798607,-1,6076,-1,-1,729892,-1,91803,-1,279935,543803,217737,-1,-1,554813,225721,-1,949385,-1,871520,908290,959246,-1,-1,-1,-1,530177,68730,-1,-1,89619,930630,-1,-1,645719,856269,-1,617823,-1,-1,-1,335002,203717,-1,-1,856457,-1,-1,-1,171306,610214,657636,620048,127578,639493,891885,-1,756529,-1,66140,-1,-1,731087,-1,-1,278846,639928,242842,-1,296035,-1,637338,-1,49297,625472,-1,-1,-1,715568,-1,-1,812409,-1,-1,920471,-1,-1,-1,310922,84972,-1,736692,993507,688863,471570,-1,330432,-1,-1,348377,984113,-1,935794,-1,886403,-1,-1,-1,168888,-1,-1,-1,225344,-1,-1,-1,97344,-1,-1,656432,65254,81371,-1,-1,-1,-1,560901,-1,-1,234117,-1,294012,164184,126372,941902,-1,511034,60502,207671,786425,140572,28115,-1,92728,-1,308092,396921,832665,-1,-1,760605,-1,379706,-1,-1,-1,200595,100628,866496,-1,988301,-1,902281,-1,535593,-1,460867,-1,292888,161074,990484,-1,-1,62731,632925,25246,-1,-1,-1,-1,988742,-1,955566,-1,713972,-1,447334,892211,180028,-1,-1,-1,966312,53625,-1,504662,642146,-1,-1,154265,82377,-1,-1,-1,-1,744360,43918,887688,502274,732766,-1,-1,273238,642248,-1,-1,-1,-1,-1,291740,699990,-1,812524,369769,208644,-1,-1,-1,338322,-1,457806,-1,893552,405368,-1,-1,995243,-1,565757,690279,817675,-1,194763,743199,562185,32662,616042,14110,176796,647892,455131,-1,238161,637729,-1,520995,-1,-1,61937,-1,-1,-1,-1,965113,-1,495770,-1,983866,-1,-1,-1,311879,301234,34971,-1,-1,-1,35709,-1,-1,-1,-1,-1,-1,-1,343749,579912,632197,-1,-1,-1,690853,-1,-1,-1,-1,-1,-1,499960,127834,-1,-1,-1,-1,-1,-1,-1,773563,-1,289911,-1,263064,569752,235288,404133,-1,463513,-1,-1,-1,-1,918489,-1,844712,-1,-1,-1,-1,792960,977352,-1,-1,-1,-1,-1,741015,-1,875704,-1,843526,-1,-1,-1,-1,757221,-1,842835,-1,-1,-1,476346,-1,502492,206657,533204,773871,-1,523844,-1,224858,771789,289029,552399,-1,248044,478959,-1,87897,579255,-1,-1,451785,-1,-1,-1,-1,420882,-1,388521,-1,300282,788255,-1,-1,579901,377606,-1,688702,97128,20839,74822,132351,-1,-1,-1,-1,189890,197402,-1,-1,884462,758551,346958,-1,826448,-1,-1,-1,-1,-1,512964,-1,953484,415125,401192,604465,-1,-1,-1,-1,-1,-1,-1,203780,137989,-1,-1,-1,-1,952058,836574,-1,639650,-1,-1,685051,-1,-1,259361,704189,809275,416594,844142,-1,-1,-1,-1,-1,77640,-1,-1,971940,756758,-1,1888,510238,-1,353174,-1,-1,-1,763610,-1,-1,756089,-1,946682,396083,-1,-1,-1,719006,741882,323891,731286,-1,-1,-1,45995,-1,-1,-1,-1,294026,87580,-1,664416,-1,-1,490143,-1,798954,662308,395233,-1,-1,-1,282683,35356,233306,-1,828862,-1,-1,-1,-1,286635,123267,960954,-1,452954,112219,-1,101359,-1,132799,-1,-1,361142,-1,582937,-1,806450,-1,-1,-1,-1,-1,994081,-1,263632,-1,972400,-1,604857,-1,851790,566398,-1,785753,-1,-1,-1,-1,251086,978529,109553,-1,375826,-1,-1,764595,-1,629091,123456,-1,320839,-1,934646,-1,-1,617036,-1,17215,-1,768026,312332,151248,731681,-1,873861,210541,487374,377859,985890,429414,148447,852346,-1,-1,-1,-1,-1,882146,-1,-1,-1,901724,-1,787765,-1,630078,-1,-1,966037,667943,605281,424059,-1,999599,-1,-1,285141,-1,-1,-1,-1,30030,7604,-1,445083,234718,-1,421894,-1,-1,-1,554237,858585,-1,787328,-1,-1,-1,418729,-1,111051,810611,263234,276996,425838,-1,-1,754885,-1,-1,375896,638840,-1,-1,633884,719139,-1,465602,-1,-1,-1,-1,197769,-1,-1,326338,-1,147138,-1,814114,-1,69729,-1,-1,229991,-1,96856,-1,-1,-1,-1,543716,821387,-1,197764,-1,-1,-1,260225,-1,-1,625624,44449,-1,-1,-1,764402,-1,912184,-1,308966,-1,102237,-1,343493,1565,546637,310018,-1,166253,-1,670438,307586,859397,166732,-1,335362,506771,267068,-1,-1,-1,205852,606845,-1,-1,-1,-1,665525,-1,-1,962644,-1,66181,-1,-1,-1,785076,-1,-1,-1,-1,449454,111532,524317,-1,345423,506681,498715,137926,-1,-1,-1,-1,-1,-1,-1,-1,-1,887467,-1,-1,258409,442454,608233,52172,-1,-1,701867,543503,-1,172052,-1,-1,211004,-1,-1,-1,147468,549927,-1,-1,956719,-1,-1,-1,-1,699086,-1,-1,-1,-1,-1,483565,-1,220858,-1,-1,347531,-1,-1,319449,-1,-1,900144,986761,865858,759911,-1,312270,-1,-1,-1,-1,-1,616754,-1,-1,232068,-1,481199,-1,-1,990786,931017,-1,-1,187346,-1,452588,-1,-1,-1,-1,778301,-1,-1,-1,646788,-1,511062,384308,814206,866514,-1,314586,794598,-1,818296,-1,338222,46771,653162,911376,-1,624988,543063,-1,-1,-1,-1,-1,723511,766191,-1,196044,67668,592539,125502,652571,343472,178931,971171,-1,21663,-1,-1,-1,-1,188149,-1,-1,-1,172342,635085,922504,-1,-1,884569,-1,-1,990810,-1,-1,-1,-1,-1,-1,220404,-1,883183,-1,-1,214381,235294,609940,-1,-1,-1,925887,-1,2750,-1,838832,-1,-1,69061,-1,775187,9099,-1,-1,-1,325633,-1,21555,-1,-1,-1,728495,-1,-1,970282,125796,702104,-1,-1,153100,816397,-1,929336,-1,-1,276669,591662,-1,212866,423309,-1,233130,526408,384500,923599,704256,-1,393236,753743,353189,-1,-1,26342,-1,942832,573188,799677,646153,631321,-1,-1,-1,371723,-1,73921,378075,867459,-1,879033,-1,-1,-1,-1,578857,-1,-1,-1,663284,845624,255806,433847,152883,-1,-1,200616,-1,638122,136327,354358,976362,-1,852898,-1,209246,826795,-1,354335,412314,237808,-1,811674,752672,176107,-1,787014,-1,-1,587023,629240,-1,-1,529698,334300,414977,-1,-1,-1,-1,428723,431321,634431,101894,-1,158258,298661,-1,-1,-1,-1,-1,-1,536056,-1,473040,776253,843212,-1,-1,784259,-1,-1,436768,334905,-1,601200,871229,-1,176241,861864,702124,633275,-1,-1,153982,564618,380962,289540,-1,-1,725631,258574,409928,-1,502097,-1,-1,-1,-1,-1,-1,949693,648225,573473,851396,-1,-1,451037,-1,-1,534930,-1,-1,462698,142580,-1,397439,-1,-1,434305,988710,-1,-1,-1,-1,890405,420518,837087,-1,-1,-1,385159,293633,729277,-1,646028,730649,475424,-1,-1,-1,302169,-1,-1,-1,-1,52403,761965,-1,-1,-1,-1,-1,56487,9202,-1,101812,110397,517124,-1,-1,979934,-1,112253,234818,989385,-1,145677,951090,-1,-1,-1,792116,418958,82769,558992,552523,-1,-1,-1,816808,880399,-1,883242,-1,861644,-1,-1,48996,-1,270352,-1,-1,-1,-1,-1,839367,477185,-1,-1,312985,-1,318086,-1,-1,113207,939380,-1,-1,-1,79242,396733,320828,128324,899429,-1,731380,229263,463709,-1,983390,2981,755078,-1,669801,304540,824055,-1,511644,38483,169155,811176,254588,729992,-1,-1,-1,-1,18747,606284,-1,-1,827146,-1,239487,-1,842750,944787,508693,148783,448992,-1,413869,-1,742464,835836,-1,444183,285610,555016,-1,16406,902593,-1,723177,509882,-1,59800,-1,667760,720375,-1,-1,393042,-1,192661,-1,-1,-1,676817,838720,604199,810829,-1,736340,200287,260061,-1,947153,511665,191055,676940,489911,-1,821854,-1,295926,348748,-1,439243,403403,-1,643547,453735,-1,251517,-1,446721,-1,364614,-1,-1,-1,-1,715248,881297,-1,-1,-1,-1,127602,782531,-1,630926,213666,494652,939390,848178,513877,488741,239353,-1,-1,-1,-1,-1,451167,-1,881106,-1,930871,-1,-1,-1,-1,-1,242232,837071,-1,-1,-1,-1,564485,-1,865093,631550,-1,471502,-1,485758,-1,492115,847332,-1,239667,-1,653966,123009,470840,324867,-1,-1,7672,441244,-1,729963,-1,-1,-1,45166,-1,257959,724128,-1,807396,547392,109717,-1,-1,929080,252169,565820,505501,-1,906982,-1,315828,-1,-1,246739,-1,395408,40350,-1,228058,-1,641955,-1,-1,-1,-1,-1,-1,718825,887814,-1,857965,-1,-1,-1,995577,84681,-1,272922,538707,-1,-1,-1,-1,-1,216522,191147,274562,246745,204697,347318,48652,-1,-1,-1,119449,-1,982795,-1,771344,472335,-1,189591,-1,965437,920652,989534,-1,-1,-1,-1,-1,-1,24670,-1,-1,889372,-1,-1,953648,77367,745398,-1,-1,-1,971251,153658,994587,-1,-1,891523,-1,106729,45625,-1,39382,-1,-1,-1,766663,-1,395036,794391,552852,444107,243613,138281,515960,972275,805847,-1,-1,303766,-1,-1,615939,366329,-1,-1,857336,-1,-1,364284,-1,-1,-1,-1,-1,233123,-1,353328,-1,-1,-1,449059,-1,706120,816519,-1,-1,-1,560639,173649,451276,650831,-1,-1,262977,-1,-1,-1,713981,411460,292295,-1,291474,-1,-1,815357,-1,760456,-1,-1,-1,824898,884155,560457,-1,-1,459082,784356,112690,176223,287351,89253,646810,747061,-1,-1,-1,-1,-1,-1,227209,652290,935478,-1,899577,877519,-1,-1,-1,303173,956884,-1,-1,553180,141899,538815,611553,-1,300834,949497,-1,-1,517543,-1,468545,-1,-1,-1,-1,656880,-1,387378,352286,765037,995020,954153,763680,665964,-1,741030,-1,661509,-1,-1,575197,59039,-1,77582,532639,-1,-1,-1,301873,309375,814943,733002,672649,-1,415609,258578,273766,48304,-1,895877,742896,723567,-1,-1,394365,429642,-1,-1,91315,76807,-1,894188,977431,207256,834457,108911,-1,941464,222374,-1,233351,947530,-1,24303,614113,-1,-1,923460,-1,-1,-1,794854,-1,-1,-1,-1,-1,604122,635790,-1,-1,-1,374964,281409,986972,-1,-1,-1,-1,-1,-1,394249,10865,392614,-1,-1,853053,-1,139627,-1,-1,-1,-1,-1,-1,99376,-1,732122,728817,-1,971314,-1,511768,-1,662858,599254,349976,-1,374446,867338,75121,929191,-1,307879,833959,-1,257702,258083,919035,-1,-1,-1,-1,500095,942984,521500,469520,817904,216028,691351,-1,-1,-1,290587,-1,-1,-1,-1,-1,-1,-1,281766,-1,572314,330903,996903,-1,720383,-1,503514,910950,555805,312470,-1,375895,519475,-1,447002,-1,979496,736748,591540,596470,496022,-1,220782,817913,803696,-1,-1,985581,-1,648409,-1,194585,-1,-1,134726,901014,-1,-1,664696,223277,796757,352795,749083,675750,371217,-1,337917,-1,-1,797761,943462,427955,19266,782424,-1,-1,-1,-1,851973,507907,663879,-1,593141,573246,-1,949374,-1,55563,798921,544472,710583,-1,249239,-1,550667,629282,-1,-1,33949,162302,232413,-1,796994,260015,343707,271366,604339,973896,480503,972628,-1,688005,-1,723572,-1,-1,671143,500257,-1,759575,-1,532948,-1,-1,643564,-1,933196,-1,-1,-1,-1,107696,-1,702798,-1,-1,-1,-1,599051,-1,-1,-1,975312,-1,426952,-1,-1,-1,889393,-1,-1,-1,678412,-1,362571,742814,-1,425543,46562,-1,-1,220091,517408,-1,770670,-1,919536,933031,-1,-1,-1,-1,642677,-1,619707,583033,-1,-1,729348,-1,435341,124623,39506,-1,387260,123246,-1,-1,-1,-1,-1,246747,-1,21018,-1,-1,-1,696625,-1,623798,24726,776600,41635,-1,41253,320035,180074,-1,31977,-1,772063,-1,-1,519017,538062,-1,-1,828812,-1,545487,454606,676589,762469,337575,-1,51041,-1,-1,-1,365127,599930,612792,-1,-1,838920,368766,-1,-1,-1,-1,-1,-1,-1,551243,675179,-1,-1,71732,17926,203116,-1,333319,-1,100345,-1,470112,-1,18527,976685,855300,464002,-1,-1,-1,-1,927553,541891,494925,-1,46210,425807,230850,-1,-1,94818,-1,431155,43274,732567,270665,949605,-1,878075,-1,-1,-1,-1,574235,-1,-1,-1,-1,815520,-1,-1,-1,-1,-1,471542,-1,-1,-1,282494,-1,-1,454742,-1,-1,-1,-1,769295,-1,304128,159435,65118,-1,-1,943117,685548,255686,-1,140313,567399,-1,-1,138826,-1,421641,-1,-1,809217,-1,-1,-1,-1,-1,-1,-1,-1,-1,664247,-1,-1,270017,-1,-1,364212,521190,586861,-1,508628,637328,-1,318630,-1,-1,-1,747434,888278,331738,46515,-1,-1,-1,441563,-1,92152,497354,-1,83974,685093,954907,669464,-1,105807,682697,-1,752874,180112,-1,998260,62125,163528,241434,642737,-1,139974,606136,699829,-1,-1,-1,807195,533553,124337,-1,791505,-1,-1,-1,662755,-1,-1,-1,873458,-1,-1,-1,393499,323454,-1,813946,633882,-1,143523,812954,-1,-1,529066,544264,449229,544175,701057,715037,205491,327746,-1,-1,-1,-1,-1,233735,-1,-1,600896,980219,881473,-1,-1,726106,439084,-1,-1,-1,-1,-1,179815,-1,768088,700930,-1,-1,-1,-1,630495,920914,850465,397184,929040,-1,-1,-1,726559,-1,367291,-1,-1,400589,-1,934894,-1,131748,676014,-1,792846,-1,477266,-1,-1,-1,394874,318492,-1,-1,-1,-1,369528,112826,-1,212429,-1,-1,736844,-1,685956,19746,705011,-1,713743,-1,899071,-1,651242,-1,205350,-1,-1,291462,73717,-1,376521,902579,856836,861061,-1,-1,-1,-1,961771,-1,-1,-1,938637,-1,640218,240195,157375,-1,518685,-1,907468,-1,-1,351968,140624,-1,117909,-1,-1,464534,-1,269458,-1,360674,-1,396587,-1,-1,40806,-1,713260,834195,667241,-1,-1,284044,18543,50325,138431,-1,391424,278517,501774,856766,-1,363406,492503,921110,-1,551502,171179,224492,870953,-1,-1,-1,-1,-1,196342,186381,779656,-1,-1,145086,-1,-1,50012,383966,571801,-1,601856,-1,672280,-1,-1,6359,-1,593588,976296,953187,843161,540871,-1,-1,356233,-1,-1,246989,266571,-1,-1,-1,984803,567303,-1,-1,828204,-1,-1,-1,-1,-1,-1,-1,382597,927034,-1,337807,-1,471329,823082,-1,-1,-1,-1,-1,983743,-1,-1,815929,-1,-1,222160,678006,-1,31022,-1,-1,-1,-1,-1,374235,-1,-1,-1,687614,-1,-1,-1,32848,986065,-1,-1,606861,-1,31052,-1,-1,984781,-1,214189,-1,-1,-1,995910,324151,317928,168597,-1,-1,-1,-1,87985,-1,-1,373400,839186,-1,-1,-1,510029,-1,-1,-1,-1,519196,554334,321598,-1,557199,557775,181657,891876,-1,726414,-1,-1,-1,485793,759219,-1,417809,708177,313684,612766,-1,-1,639540,-1,-1,641964,189694,550839,-1,-1,-1,-1,-1,911313,-1,977866,-1,-1,-1,740922,845397,979331,-1,-1,184045,-1,-1,899184,-1,-1,-1,55061,380341,-1,409356,-1,-1,-1,-1,-1,889954,362857,-1,-1,173759,973904,227988,-1,605252,645674,-1,-1,-1,-1,483628,408313,-1,-1,-1,-1,-1,598124,55922,728652,-1,-1,587144,-1,661493,-1,345962,-1,513514,-1,-1,-1,243911,112715,-1,333650,-1,763655,253147,815512,988395,-1,-1,676462,-1,-1,408194,-1,131613,-1,735151,-1,169505,-1,-1,-1,396013,590868,843072,-1,-1,480203,340317,6978,286853,-1,-1,518983,-1,175349,-1,-1,-1,536577,-1,-1,813154,15321,-1,-1,-1,483015,940895,-1,185029,-1,932191,-1,-1,371666,-1,66627,784283,-1,906375,-1,-1,260451,50893,-1,911788,-1,701557,-1,644326,-1,-1,-1,-1,-1,682680,-1,-1,373461,-1,-1,-1,-1,67773,-1,-1,-1,387538,506682,859507,260714,-1,726513,683682,307392,920476,503946,308728,995081,-1,572469,-1,-1,405181,778767,11967,399129,-1,27260,710044,-1,-1,135621,-1,53558,-1,610726,790177,615208,540835,-1,19659,-1,870352,879344,977237,-1,-1,228856,-1,-1,338202,-1,-1,-1,-1,-1,830725,54199,-1,-1,848455,-1,466858,-1,-1,966523,-1,-1,245489,819491,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,897340,-1,620623,609580,28891,-1,-1,-1,-1,772972,78006,148496,-1,709505,-1,761419,-1,327740,948704,-1,-1,920681,711835,685176,-1,-1,-1,-1,93161,959748,-1,587622,-1,817017,-1,-1,-1,-1,-1,-1,995662,271069,790727,966363,-1,-1,-1,-1,-1,-1,-1,-1,-1,651890,-1,-1,951266,-1,182660,424815,312338,660944,147133,-1,-1,-1,21091,-1,-1,636885,-1,604244,-1,776666,515073,-1,-1,872629,-1,820883,571955,-1,-1,805677,-1,-1,-1,148524,700366,862228,-1,-1,-1,-1,-1,-1,-1,-1,366555,865269,590486,-1,-1,-1,-1,-1,-1,766436,-1,231574,300504,198169,-1,-1,850666,653196,84791,-1,-1,-1,-1,-1,-1,2343,-1,954458,228323,-1,-1,-1,71970,772409,803424,-1,-1,8820,361449,733242,-1,735932,507301,-1,-1,998953,707748,-1,-1,-1,-1,818997,-1,-1,-1,45811,-1,373234,267492,-1,-1,-1,-1,421390,-1,-1,355100,-1,534061,-1,564531,570625,-1,698888,-1,311730,-1,-1,-1,899890,-1,69203,898186,-1,804690,226700,-1,613765,35661,728587,477517,-1,266397,-1,693332,162803,-1,2264,-1,904740,-1,-1,870398,380756,-1,-1,-1,-1,530996,273326,817105,594942,-1,759177,-1,732931,-1,813226,-1,390719,556171,-1,994623,53002,-1,694976,-1,-1,-1,80062,-1,613277,-1,-1,284653,-1,-1,504656,-1,-1,458665,472127,576625,509945,240945,-1,-1,415798,-1,453880,-1,-1,-1,470730,27847,987186,937743,378969,599235,-1,692649,847266,637304,957419,831864,216979,-1,764985,-1,801681,-1,-1,-1,428144,621099,-1,531513,-1,710642,-1,-1,-1,427606,385119,532753,-1,333455,881206,901820,206404,-1,537323,-1,556305,-1,-1,349572,-1,881004,808818,993990,-1,-1,-1,-1,448473,-1,-1,228953,173051,543028,-1,-1,-1,584956,-1,-1,-1,122026,379720,405116,-1,699944,-1,-1,-1,668015,66251,934295,-1,-1,991131,74769,736840,-1,447546,648243,975988,628706,-1,-1,561093,-1,-1,270620,-1,554911,-1,857485,-1,-1,-1,-1,461454,-1,318102,905116,821417,89620,-1,381233,-1,142798,-1,-1,639430,191764,671439,589929,60295,494066,-1,-1,247685,467434,-1,-1,-1,-1,-1,116926,256926,-1,308831,918717,-1,-1,-1,400553,-1,-1,-1,533873,-1,729779,206612,-1,773397,-1,47409,594246,-1,798512,-1,498959,-1,-1,-1,-1,-1,-1,949970,-1,796454,631066,675033,-1,-1,-1,17402,-1,635075,264274,-1,-1,778542,995959,-1,157861,909594,-1,779847,-1,239063,178693,-1,787863,722704,599779,-1,-1,-1,-1,802343,-1,159386,573457,-1,458845,-1,76422,923591,334195,277752,-1,542194,349495,-1,975852,-1,-1,307637,348882,170137,-1,-1,175291,-1,-1,-1,110749,-1,-1,-1,-1,-1,990066,-1,-1,-1,-1,-1,287190,131241,117897,414134,324903,13392,111409,-1,690923,840797,812702,-1,33438,288344,101552,-1,846945,-1,-1,-1,505692,-1,327546,-1,-1,583112,-1,-1,419770,734834,151298,-1,754630,788819,713452,-1,491987,709810,-1,238216,838627,217971,273630,802281,794029,360849,639008,693419,666567,-1,-1,454799,165385,934090,395049,-1,681565,-1,719961,-1,340631,876425,-1,-1,-1,623254,547947,156455,-1,107681,-1,577109,427475,217275,-1,15842,-1,835105,-1,-1,509070,-1,-1,-1,-1,799869,-1,263956,655079,-1,112528,807328,497947,283036,-1,-1,758116,390465,-1,-1,-1,-1,533911,-1,290131,-1,901336,-1,588127,-1,-1,851604,574398,-1,-1,-1,531203,-1,912091,-1,-1,277636,933993,941440,-1,-1,585654,705958,-1,-1,-1,-1,628469,-1,-1,-1,-1,-1,693738,-1,900034,-1,243203,-1,-1,-1,494535,293590,-1,188418,-1,-1,-1,589447,-1,-1,722741,-1,-1,238453,-1,-1,-1,275273,307635,-1,748602,-1,-1,-1,102704,811464,-1,850324,-1,-1,349978,237001,-1,-1,-1,-1,534009,-1,833622,68432,-1,-1,-1,-1,87188,-1,-1,-1,-1,-1,941659,-1,-1,991150,892684,-1,312390,767383,427830,55910,-1,-1,524013,371236,883393,-1,530376,-1,664184,-1,-1,-1,445109,-1,-1,-1,-1,-1,-1,731483,424417,-1,-1,-1,-1,178890,83745,695139,-1,-1,833594,17726,-1,-1,-1,-1,-1,630941,-1,-1,-1,-1,-1,-1,25520,807643,-1,-1,663825,863857,696760,-1,-1,-1,709448,-1,-1,-1,661226,-1,-1,492153,612813,-1,466662,-1,22731,327086,106118,529393,593078,579217,-1,586678,178425,663220,811430,-1,697814,-1,-1,566112,-1,529694,226998,-1,971808,-1,-1,120820,-1,893857,-1,-1,-1,-1,432593,986208,-1,619345,-1,335686,4800,127232,999895,-1,-1,121268,-1,322386,-1,187675,-1,-1,-1,597607,-1,452635,990695,-1,-1,854624,556967,704044,677100,265698,-1,303628,-1,55524,-1,962184,-1,-1,-1,294372,-1,632620,354203,-1,-1,711811,-1,-1,913806,-1,-1,-1,858503,-1,480473,-1,776061,553607,-1,525851,-1,-1,5598,-1,143261,-1,150044,-1,425162,557351,-1,-1,-1,190813,-1,-1,-1,546331,804719,-1,207519,468829,-1,256285,-1,914861,441904,265002,140432,194594,-1,898002,648383,201798,-1,-1,720073,241842,-1,-1,-1,504191,916093,-1,-1,-1,-1,-1,366347,-1,-1,-1,-1,723539,-1,130746,56703,-1,-1,762765,100342,-1,-1,-1,-1,-1,-1,-1,611704,150788,966497,232808,363895,118987,-1,802195,882180,365680,-1,385888,202818,-1,-1,30312,-1,147344,41035,-1,-1,417158,867871,-1,-1,233622,630065,178600,997078,-1,-1,-1,-1,-1,-1,17032,-1,-1,-1,87079,-1,61771,244216,-1,212139,-1,-1,-1,585863,-1,932794,749811,842707,-1,726566,-1,105849,367914,-1,-1,268380,72229,-1,-1,-1,-1,-1,-1,-1,701344,167476,-1,83119,-1,791543,-1,-1,262713,-1,-1,187703,159156,215115,910657,-1,860440,500256,391596,671057,-1,-1,601270,16310,814851,-1,-1,23273,359694,-1,468813,202908,-1,-1,312463,13020,680991,941732,9151,879791,-1,477614,-1,-1,-1,-1,-1,-1,839019,284279,-1,-1,-1,-1,-1,-1,-1,-1,888283,352382,129213,-1,-1,-1,978184,421160,-1,-1,9350,-1,-1,132271,804506,-1,490870,602015,-1,60663,908067,-1,-1,-1,549604,-1,-1,28176,995947,835846,-1,291090,-1,-1,640625,430210,430046,677550,-1,285538,-1,-1,434757,-1,-1,-1,30309,465037,133842,307325,570189,386579,830440,-1,-1,-1,130578,736128,-1,409398,759322,-1,263301,680409,-1,-1,-1,846264,-1,-1,989665,-1,-1,-1,-1,-1,-1,-1,920130,892330,973485,-1,-1,980116,-1,803535,45096,888580,-1,-1,299397,775298,-1,-1,963461,20402,-1,-1,783884,473602,-1,300889,-1,-1,-1,-1,481885,-1,409249,-1,-1,-1,-1,-1,327012,452694,-1,-1,578102,-1,-1,905665,-1,164245,38723,-1,-1,179443,-1,-1,-1,21672,729539,75790,-1,-1,173441,-1,577569,-1,666087,21016,824020,-1,383296,-1,-1,889582,-1,-1,-1,-1,-1,109594,-1,-1,299699,386344,219509,40332,330289,-1,-1,62215,-1,955725,587695,63018,656794,471956,721912,41646,-1,661596,696544,891431,412684,-1,992942,-1,178744,410891,-1,554721,676426,-1,-1,728233,537856,-1,2482,124879,420179,263072,-1,229896,-1,-1,128620,458163,549789,153798,-1,-1,698276,693420,-1,-1,238246,-1,-1,-1,-1,-1,595277,284187,-1,-1,-1,501693,-1,-1,156376,-1,815793,875307,889821,-1,-1,779502,-1,683904,542768,486978,685892,86748,-1,-1,-1,457066,-1,-1,-1,-1,-1,-1,-1,-1,851440,-1,106083,-1,-1,48596,-1,-1,-1,571265,426902,-1,-1,208343,188801,-1,-1,-1,265474,124367,865990,816458,462499,-1,-1,-1,-1,-1,27472,-1,-1,970110,-1,369952,199547,600453,589508,-1,953725,-1,-1,292817,49188,529686,242739,116689,-1,788418,-1,44643,120552,175107,202382,-1,488656,948388,-1,789580,110214,29892,-1,-1,836138,72871,31714,-1,783115,229375,60587,-1,805760,130864,-1,-1,-1,-1,-1,435339,-1,-1,143139,-1,-1,-1,-1,-1,-1,196219,-1,-1,-1,326052,-1,-1,731493,225846,750078,739088,345283,434572,-1,105483,-1,91595,830531,-1,938366,-1,655029,288993,921987,238020,206412,999989,-1,719309,232044,-1,-1,899176,666797,599395,-1,258400,-1,-1,-1,-1,-1,531491,-1,53171,-1,-1,187968,-1,-1,336099,-1,-1,220507,-1,314086,646478,-1,680174,572243,-1,-1,-1,938061,501270,616093,92782,865307,253153,-1,-1,-1,-1,142171,-1,195551,192713,538654,482338,963445,903374,-1,-1,-1,905563,721493,-1,-1,710150,492582,817456,502021,927581,468422,-1,229216,495122,-1,575212,776347,-1,-1,-1,586856,-1,-1,-1,356728,294687,-1,279864,937285,-1,856948,-1,-1,-1,-1,933354,183157,-1,-1,422416,740514,-1,-1,565390,-1,-1,156233,-1,-1,818170,515180,853689,-1,-1,235709,-1,-1,-1,43376,-1,-1,-1,237082,-1,-1,-1,718327,55379,-1,766057,805475,-1,-1,-1,518898,-1,-1,996838,-1,41149,328565,666632,610810,-1,-1,-1,-1,-1,-1,412683,-1,250221,-1,607062,43549,-1,-1,-1,658006,81779,-1,-1,284654,880508,185425,-1,-1,-1,-1,-1,962913,967768,90349,535492,-1,562427,331286,-1,-1,-1,172287,-1,-1,-1,918876,-1,-1,-1,-1,-1,924820,-1,-1,-1,-1,-1,677915,-1,-1,987812,369720,412069,566418,884000,172535,-1,-1,-1,325952,573467,-1,22061,-1,219543,-1,919629,780615,147804,-1,365031,754675,-1,-1,-1,326549,543231,609024,564877,-1,-1,-1,913128,401021,-1,-1,-1,-1,111686,-1,351771,-1,386975,-1,-1,-1,-1,-1,667289,151595,930686,900083,-1,-1,563552,486706,-1,-1,5673,902284,356182,-1,-1,-1,827610,786092,49511,-1,212391,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,289565,-1,-1,812493,938062,152597,159963,-1,-1,284034,747825,-1,-1,-1,-1,82244,744926,-1,95113,493260,188875,999915,-1,48469,966743,945677,574901,-1,-1,89425,590840,280957,-1,541816,-1,245775,603455,-1,719628,54244,8836,-1,536339,839151,-1,-1,-1,-1,-1,520473,478248,801590,-1,745933,-1,169639,640558,-1,-1,-1,-1,-1,965412,242910,717631,-1,-1,1356,777128,473062,-1,729422,465507,-1,-1,40489,838300,-1,295327,563370,-1,230358,-1,189724,-1,-1,822146,346761,399566,625309,-1,575158,157217,-1,774163,-1,437765,314743,492714,952818,-1,357465,-1,877827,229688,897516,-1,-1,431866,423296,-1,-1,537125,-1,-1,447389,-1,741881,-1,-1,936852,78033,-1,-1,163870,-1,748872,-1,474440,826967,256739,-1,819250,319833,495206,70446,435385,-1,185960,-1,943175,952288,-1,-1,-1,471399,519610,637639,-1,-1,-1,953814,-1,324298,363853,705683,-1,-1,-1,-1,35822,-1,-1,-1,75090,636656,-1,902715,-1,816861,80546,158936,-1,115077,-1,-1,802597,-1,104393,310737,-1,668839,12229,-1,507553,-1,-1,-1,-1,386368,964797,-1,976589,-1,-1,-1,888919,959469,-1,931116,585884,514409,-1,84415,405100,783618,-1,-1,-1,-1,-1,-1,792603,759883,492268,528756,-1,-1,498268,-1,-1,-1,-1,-1,228868,-1,587063,-1,-1,-1,-1,-1,461460,847418,-1,-1,727489,-1,-1,222837,153567,-1,-1,706999,527804,-1,236144,-1,29266,-1,363128,-1,33052,96290,-1,223289,672685,-1,570953,-1,-1,55726,707762,222686,953493,-1,907240,625474,359806,524146,-1,633026,-1,-1,852539,741174,-1,933074,-1,457577,-1,617184,734194,-1,640562,-1,398499,747836,607499,-1,477543,-1,-1,561582,851006,15368,-1,302263,-1,117557,-1,-1,273518,678091,342823,880088,896869,-1,10395,-1,653093,-1,-1,469096,-1,368980,-1,-1,-1,690134,744527,152039,748982,836723,-1,714028,637473,28614,739341,621804,395766,638029,241147,960826,-1,976798,311549,-1,-1,-1,850604,-1,-1,233611,467110,998771,872,282252,-1,-1,12131,-1,322724,460616,679331,-1,771873,-1,854976,574515,983282,-1,254752,-1,428210,198617,683230,522907,-1,923150,-1,140806,-1,-1,116602,98492,29543,-1,704096,106201,879531,250796,541620,-1,236982,404306,-1,292041,-1,-1,508665,237416,-1,507463,-1,-1,185446,-1,228550,-1,-1,404083,-1,-1,-1,227390,796523,133471,-1,185088,-1,-1,964881,-1,-1,-1,-1,941589,38542,165642,132180,884059,39191,-1,-1,416616,-1,-1,291947,284536,487629,-1,-1,501574,-1,854054,233275,779854,844088,-1,-1,798370,953505,-1,941775,-1,-1,-1,116400,521799,660172,226968,-1,-1,-1,-1,697416,-1,-1,969190,301208,-1,708930,-1,475303,-1,-1,154741,158482,-1,-1,-1,-1,155723,-1,-1,95894,-1,-1,-1,-1,-1,-1,-1,-1,-1,437123,714745,628320,-1,-1,402203,883410,-1,588042,364,290072,-1,-1,61196,112995,-1,624661,-1,404020,486722,-1,579260,-1,582930,-1,-1,-1,-1,670014,222080,47972,956493,44331,295594,803286,-1,106982,-1,982407,921544,-1,314311,209494,461220,-1,-1,912040,188325,175972,193687,207219,-1,553243,-1,249306,733427,-1,-1,-1,507388,-1,-1,-1,-1,-1,42149,-1,-1,255948,515677,605680,-1,-1,-1,-1,83858,327382,521141,-1,801371,923162,308698,-1,-1,-1,377716,-1,548295,-1,-1,-1,639713,-1,862302,85830,831013,-1,-1,550654,246565,794230,888097,272490,841080,70147,-1,-1,-1,-1,344111,483775,804143,-1,690731,-1,805153,820232,181426,-1,-1,835769,537768,-1,-1,263573,139406,-1,-1,-1,-1,53163,903836,872497,284771,709397,844987,235266,281955,133935,-1,-1,853706,848822,-1,468133,657836,696617,672734,657353,362447,846435,-1,688004,766915,137511,-1,-1,95992,722497,819882,953362,-1,-1,-1,223201,-1,884461,368796,-1,382696,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,562620,-1,346280,848010,123211,779461,180830,559374,311380,-1,830992,-1,505812,-1,-1,-1,-1,-1,-1,-1,672793,-1,747951,60708,934657,305207,453076,-1,-1,564819,996837,258093,-1,169243,56163,508045,71934,-1,-1,757066,477067,948393,-1,72564,-1,109608,-1,-1,369581,-1,650403,-1,79696,909056,844007,-1,-1,170400,-1,-1,-1,466779,922152,158485,135265,-1,-1,886638,666790,-1,41354,525642,-1,-1,-1,-1,901599,-1,893102,783756,-1,928729,685687,-1,-1,981904,965132,880654,178917,-1,204,-1,-1,-1,-1,509446,464947,160186,228436,-1,747222,-1,820796,886213,-1,-1,-1,-1,466952,-1,412237,4570,247481,-1,414104,150947,-1,-1,-1,369289,-1,292149,644283,-1,-1,-1,49345,-1,830659,-1,-1,217299,-1,312286,568568,-1,-1,-1,-1,-1,377280,-1,327871,518804,-1,941013,-1,-1,-1,390282,-1,-1,137220,835637,584695,-1,527780,-1,-1,-1,-1,803457,-1,-1,997365,-1,-1,888927,534737,704282,-1,30212,503008,-1,-1,688689,-1,-1,683087,635533,674095,-1,-1,-1,-1,-1,308624,541950,99637,-1,414252,293604,600114,876521,803186,332646,-1,802511,-1,-1,-1,809274,-1,660246,859217,271212,55878,-1,703978,635323,-1,-1,576672,603527,738612,25549,251031,844581,-1,487598,-1,132322,440536,798542,-1,875155,357470,400340,348118,586382,126598,-1,576182,-1,-1,-1,480315,-1,-1,-1,-1,-1,310591,644351,-1,-1,-1,568642,-1,335147,150685,227074,8788,872059,379055,-1,-1,403674,-1,-1,739321,-1,-1,-1,235349,-1,522717,658802,-1,-1,-1,-1,431896,4142,-1,679994,-1,287120,-1,571725,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,677065,-1,-1,-1,-1,250858,-1,-1,994650,-1,790474,812399,595487,-1,973148,-1,203507,645672,453099,-1,856245,-1,485951,-1,510001,80606,-1,-1,-1,-1,993068,911944,26698,899426,-1,-1,-1,-1,-1,-1,90921,814331,336983,-1,-1,-1,358221,41290,510294,-1,628491,-1,495082,-1,931602,560325,-1,266360,638617,366257,197039,453829,850353,409529,-1,701766,925156,676648,-1,-1,-1,195854,-1,-1,719616,-1,-1,305708,-1,-1,860294,335591,58622,-1,279732,542070,116529,112199,-1,186746,-1,-1,-1,-1,-1,-1,-1,857128,297237,-1,331518,857266,-1,-1,475528,566861,-1,159166,-1,347198,-1,-1,102515,-1,670298,-1,-1,-1,921250,-1,591196,332162,234077,274564,749558,-1,-1,481118,-1,-1,777879,-1,514273,742616,-1,978678,-1,-1,-1,768313,752758,-1,-1,816566,-1,32038,868258,413299,-1,795573,-1,508542,-1,-1,512455,-1,692741,578686,96162,387699,-1,840597,78791,29878,152086,602624,893502,453215,-1,897876,-1,-1,454803,275818,-1,-1,279694,608094,-1,434952,-1,-1,605216,432254,656298,894031,32315,-1,353550,54350,845706,-1,771150,-1,-1,991739,870616,-1,-1,821409,387719,-1,-1,382352,-1,-1,-1,893003,-1,-1,-1,-1,-1,725183,471041,-1,530454,-1,-1,-1,-1,-1,-1,-1,-1,194922,26456,286050,-1,-1,-1,556903,225504,-1,569072,-1,463371,203708,-1,-1,-1,-1,487046,-1,-1,-1,82623,-1,704411,922291,476428,-1,-1,875428,751701,533303,149214,720292,-1,-1,-1,-1,94152,-1,-1,-1,499376,-1,-1,-1,-1,-1,-1,-1,136073,-1,-1,-1,-1,-1,136003,-1,482817,-1,-1,577320,534183,-1,-1,522117,547009,366008,-1,-1,-1,-1,395793,574165,-1,-1,-1,121056,294670,-1,-1,-1,122039,43111,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,690415,-1,-1,686766,-1,816055,524850,652666,-1,-1,-1,-1,452633,-1,499669,151838,-1,-1,-1,-1,902076,712453,-1,679511,-1,46328,992602,788291,-1,684800,376523,-1,-1,170470,-1,345901,258530,906188,-1,926841,-1,-1,-1,-1,486325,474911,-1,-1,450464,-1,-1,-1,691439,-1,830098,509185,256323,683859,214921,-1,934586,-1,-1,562296,29272,-1,343117,517799,979642,607213,369340,904347,7883,-1,-1,769472,464785,-1,-1,-1,-1,-1,279486,114167,-1,392656,-1,-1,-1,669355,83614,-1,250743,-1,469469,330567,377258,-1,7213,-1,79154,-1,-1,830368,-1,-1,621918,647138,375092,-1,-1,-1,-1,-1,352424,1913,-1,731029,-1,-1,421113,-1,-1,209185,184954,437764,403987,-1,340341,183312,-1,-1,393149,898735,-1,-1,957225,346725,935579,407834,-1,-1,96579,850653,-1,359746,-1,-1,-1,-1,505196,552977,-1,742238,915055,-1,945083,186961,358788,507374,-1,-1,399752,-1,515145,-1,749112,-1,957708,-1,-1,489415,935397,335760,524164,-1,92715,378081,-1,-1,630715,505055,-1,-1,230972,-1,-1,976100,518080,750111,-1,-1,948732,389519,-1,320179,-1,-1,627923,-1,900827,-1,-1,435822,-1,254486,838825,-1,-1,-1,-1,833992,717894,-1,-1,-1,-1,43281,480706,161150,-1,-1,-1,565372,166015,99805,758841,-1,911779,303438,112217,465881,-1,-1,899756,-1,-1,-1,-1,415950,645888,201855,217470,388303,796243,967571,217361,-1,43786,-1,-1,-1,139543,146791,701291,-1,611079,330842,-1,-1,-1,-1,727964,-1,-1,-1,-1,-1,30749,-1,169174,980009,-1,482321,-1,230585,122103,-1,-1,-1,-1,904210,162852,306494,118521,423825,462456,-1,-1,-1,-1,-1,-1,-1,-1,190847,-1,744717,-1,-1,518526,274569,530137,73646,-1,689341,83328,-1,-1,250649,818767,261261,815565,-1,-1,-1,695669,96702,205112,346896,328858,523667,-1,253474,-1,-1,371720,907518,533566,-1,717003,-1,-1,-1,643415,785301,181368,-1,-1,627232,407309,-1,896169,615419,-1,-1,191512,812576,-1,712835,-1,404933,-1,-1,-1,217169,-1,-1,-1,845390,377848,802086,866421,-1,469038,-1,-1,-1,-1,-1,299064,-1,921560,-1,-1,-1,-1,369922,-1,895059,106811,-1,-1,-1,61898,272784,-1,-1,805653,192534,866529,-1,686457,238976,192609,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,486941,924495,-1,818731,216441,957391,308329,-1,163074,753384,38321,-1,797723,666252,413823,515028,399301,-1,491041,-1,-1,598695,-1,891879,-1,596083,-1,535913,665775,-1,526223,-1,150949,-1,-1,-1,455414,-1,857685,-1,166688,-1,619836,927825,965528,-1,-1,-1,-1,-1,-1,-1,364682,608338,-1,-1,809475,-1,-1,-1,387483,766355,-1,995631,-1,358761,-1,-1,-1,924691,-1,-1,676104,542482,477054,324421,-1,-1,-1,384027,-1,-1,-1,-1,733247,-1,-1,538793,-1,471365,472715,964879,274939,704796,314157,880722,-1,175340,59855,-1,645681,-1,145316,231273,-1,-1,-1,372374,-1,-1,504416,268989,747698,-1,-1,-1,890820,-1,-1,-1,772803,-1,50861,-1,607236,-1,453458,763460,-1,772927,-1,-1,577111,-1,-1,536050,915379,203325,-1,-1,-1,624767,-1,-1,-1,-1,223033,-1,-1,-1,336048,-1,-1,-1,589249,-1,523154,886362,-1,-1,-1,341547,173653,-1,125130,-1,226317,-1,-1,-1,-1,329854,-1,-1,-1,43110,832999,175438,967717,412216,-1,-1,241134,-1,-1,817535,-1,788258,908732,929928,213642,984748,-1,-1,-1,610024,-1,-1,652193,476408,684557,-1,357384,-1,-1,-1,551059,-1,676519,-1,-1,330817,-1,258026,-1,-1,-1,75210,208592,620006,807028,841785,-1,-1,-1,-1,436547,-1,-1,-1,-1,241007,460853,119886,-1,-1,-1,57153,-1,540640,147256,-1,190298,-1,-1,428333,-1,186030,-1,-1,-1,813422,-1,864634,433225,110792,463697,155944,731320,828724,-1,-1,-1,21323,498928,-1,-1,44439,-1,874584,-1,-1,676148,-1,-1,-1,-1,-1,558525,832953,542876,-1,766369,-1,265508,371074,706035,-1,217616,-1,-1,488705,-1,288617,232049,-1,-1,-1,-1,15013,-1,659382,-1,895507,746109,67257,486164,-1,-1,-1,-1,151057,27599,271832,-1,-1,68366,59459,-1,813499,-1,575140,416519,632627,463299,-1,335826,253992,72495,-1,116255,978039,-1,-1,-1,863977,-1,-1,-1,283222,-1,-1,534611,963818,-1,484852,373636,-1,-1,27254,-1,-1,-1,208958,-1,164013,-1,19832,126610,-1,-1,668433,237987,446425,534207,-1,328390,-1,838638,801231,274121,457867,-1,-1,287322,623311,-1,284593,-1,310776,-1,887934,754750,694186,-1,-1,676236,238668,-1,-1,-1,696931,-1,881014,-1,-1,629707,-1,-1,-1,972159,-1,545648,335230,10215,-1,-1,720772,-1,732850,699948,476587,47388,95218,-1,590410,108466,531846,-1,53240,-1,905922,-1,529156,555753,-1,418706,90497,-1,326810,621510,457717,-1,-1,891577,-1,809360,-1,851957,545531,977125,573207,-1,-1,72444,363356,82293,100718,-1,-1,-1,193744,-1,272629,443867,-1,-1,-1,742264,459167,977506,-1,913237,103649,525857,616381,-1,-1,772276,696712,-1,645794,48160,475993,-1,695705,-1,986358,938373,-1,867799,-1,734320,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,168116,254578,-1,-1,698850,-1,749933,52773,-1,608452,-1,-1,-1,745257,-1,899742,-1,416471,-1,-1,-1,921469,29029,143721,946433,-1,442698,-1,250207,-1,908601,818521,-1,259496,493658,-1,-1,328495,218493,229659,-1,920733,250053,-1,-1,-1,-1,158299,-1,-1,528835,-1,572827,-1,777045,119024,-1,-1,332448,287640,544351,21178,-1,903677,-1,376326,980458,838309,278803,247768,362621,147219,855251,-1,398183,-1,-1,-1,656773,404742,-1,-1,-1,-1,-1,183001,209029,849786,105637,229844,-1,676527,-1,632707,-1,163007,862480,941862,191914,-1,-1,-1,-1,831978,-1,58963,-1,876047,-1,47584,-1,592243,-1,-1,820611,733645,42343,940065,-1,554765,947883,-1,-1,878761,874385,635106,-1,172624,-1,495600,748825,-1,-1,613764,-1,808077,174191,-1,107797,-1,55807,18741,494155,-1,-1,-1,-1,-1,873163,646063,664126,-1,-1,-1,558881,-1,336860,927474,180819,986618,-1,145452,374977,-1,664511,78990,-1,602923,-1,-1,343797,-1,-1,-1,-1,-1,-1,-1,459004,115909,981902,-1,-1,478893,-1,670889,943969,576157,-1,-1,-1,-1,832191,-1,462805,-1,638703,-1,201717,862344,-1,291746,-1,662482,-1,32388,-1,888665,-1,615107,-1,-1,-1,-1,420078,824882,679396,-1,-1,289356,720117,187956,-1,-1,-1,-1,965788,387418,953006,-1,-1,575004,575356,117077,708603,-1,-1,393274,-1,-1,966485,-1,-1,887413,-1,-1,-1,-1,-1,555603,-1,120163,696477,377835,-1,-1,554283,-1,552212,643773,363442,933341,140666,121581,894028,475439,-1,789887,66020,575425,-1,-1,958889,-1,79403,-1,151958,409952,-1,279205,302415,-1,-1,-1,449684,178119,517280,-1,-1,464600,-1,-1,700387,682971,-1,902788,-1,54849,736341,-1,-1,-1,-1,859170,77583,-1,55195,803197,-1,-1,135679,-1,-1,-1,-1,77535,35513,977784,-1,-1,-1,843562,345420,-1,321573,157676,987845,581910,-1,317323,-1,-1,296613,295326,-1,841513,-1,-1,317380,-1,-1,-1,-1,320522,-1,-1,655098,-1,-1,589590,717055,-1,427607,-1,-1,674742,-1,-1,-1,-1,-1,-1,255770,-1,-1,952944,-1,72944,-1,898343,825213,-1,446893,508090,-1,-1,-1,-1,836799,516420,87583,-1,-1,-1,295777,-1,-1,-1,-1,234198,340199,-1,420775,-1,-1,-1,599317,-1,-1,491746,274683,34261,963131,-1,718806,914846,418035,-1,567983,842267,873783,-1,944663,829276,929927,-1,-1,-1,-1,948861,-1,-1,-1,675485,-1,-1,-1,-1,779951,408225,590366,833637,948076,-1,260746,-1,-1,-1,-1,-1,-1,771417,421193,-1,481435,900571,383407,-1,-1,73934,268153,-1,252348,708101,-1,-1,807777,993093,-1,511579,-1,555368,-1,680340,533822,474913,-1,174029,460323,320330,-1,369084,-1,-1,476051,866970,-1,-1,-1,-1,116427,267690,76328,-1,-1,989664,133291,-1,521104,434349,69204,-1,521101,932136,394716,496890,-1,610475,720415,-1,143316,-1,991055,136764,662850,-1,342100,-1,-1,966605,-1,-1,648262,451964,-1,-1,751792,-1,71017,528024,-1,961785,-1,-1,294636,-1,390367,139314,908287,766317,193335,997408,400837,72729,799335,-1,-1,394643,379807,8255,-1,-1,-1,905685,-1,982706,830516,-1,684280,-1,-1,-1,858839,919688,238800,-1,235283,344165,892031,-1,-1,700637,-1,-1,814987,516830,893626,-1,-1,16765,731038,3152,480471,-1,-1,-1,-1,703076,926196,-1,-1,-1,-1,-1,302795,316799,382039,26964,-1,88428,-1,-1,-1,165930,-1,284332,65923,-1,-1,-1,911518,-1,277780,-1,72650,681673,-1,385074,702804,-1,-1,-1,-1,-1,-1,464043,626486,-1,936220,72709,-1,448383,762637,310492,345351,-1,-1,-1,81138,-1,726935,911390,-1,783300,377560,943487,709368,629954,284260,258146,-1,-1,775647,332511,77196,911504,-1,785,301652,449603,48752,-1,-1,-1,337453,-1,936988,202963,669614,169814,757438,-1,-1,843480,832125,-1,-1,-1,-1,-1,598256,-1,529612,-1,8514,509539,585882,280938,326985,75520,-1,691888,-1,-1,-1,-1,137873,45150,332210,21930,418634,-1,680850,-1,-1,-1,114746,87700,-1,635277,-1,-1,621558,946472,-1,570124,-1,-1,-1,557657,-1,352900,964684,290880,-1,-1,577381,-1,-1,108618,-1,-1,-1,41169,-1,-1,-1,556114,888144,443849,-1,745133,338231,210757,-1,-1,-1,-1,-1,787043,831199,-1,638291,-1,7868,-1,360041,-1,-1,-1,-1,-1,886306,506580,-1,-1,75948,-1,424128,-1,-1,29455,-1,-1,693576,605886,-1,231083,806490,-1,-1,-1,-1,357859,750862,30772,180058,956061,-1,-1,200382,635942,64697,-1,939493,-1,-1,-1,533572,-1,-1,514366,674217,310327,-1,945638,-1,-1,-1,-1,180276,15015,179894,723639,908173,-1,-1,-1,-1,-1,-1,245153,494445,-1,-1,-1,-1,-1,180745,128714,688481,-1,-1,712860,839119,23813,90281,-1,-1,432791,313164,596352,548374,407727,-1,-1,383739,249905,-1,-1,-1,-1,228098,541016,805834,-1,376783,-1,579708,256290,286225,798750,-1,-1,-1,838612,801915,318388,-1,-1,734333,7073,400127,-1,-1,859303,562171,-1,-1,555398,-1,745403,409018,245405,-1,-1,50627,511624,715834,532070,215887,-1,-1,442193,32922,-1,354071,763427,229588,665781,134854,311102,700561,910274,-1,-1,-1,-1,167406,790907,412177,841147,951742,-1,-1,775520,-1,-1,-1,-1,-1,-1,545089,-1,737209,-1,-1,430376,-1,340657,-1,526541,-1,-1,416115,681285,-1,198889,789613,409345,-1,220255,-1,812166,224589,-1,-1,562250,893051,-1,699908,231407,220201,-1,239860,-1,663832,202081,-1,-1,-1,-1,-1,-1,-1,-1,287218,-1,-1,546389,375756,-1,64068,811827,340197,-1,-1,-1,252972,572736,578401,364151,-1,361285,-1,-1,59561,242043,-1,-1,-1,-1,-1,-1,926348,121474,-1,311815,-1,169185,828859,-1,910252,-1,-1,449225,1033,-1,461372,-1,-1,-1,-1,-1,-1,460599,-1,-1,-1,-1,-1,998425,-1,-1,-1,809046,874779,-1,-1,-1,-1,-1,-1,920026,468998,-1,-1,-1,920344,-1,-1,-1,600289,-1,-1,-1,766291,881644,924549,366135,991368,-1,-1,706257,-1,614683,191647,596422,588991,-1,-1,737451,218021,510770,807463,814659,622324,726907,-1,443063,251183,-1,635200,878685,428434,-1,-1,228852,-1,-1,-1,-1,-1,-1,583500,153726,432724,-1,674606,-1,-1,-1,156578,938659,312587,-1,-1,-1,-1,-1,-1,424981,-1,253641,489996,-1,650416,-1,302544,179882,-1,756139,-1,-1,-1,2053,147452,122022,-1,-1,613443,913999,-1,-1,-1,-1,900490,-1,334594,-1,-1,-1,135753,-1,984364,534003,373539,159399,-1,599085,223268,-1,-1,-1,-1,-1,-1,498799,63391,-1,-1,353710,-1,-1,986216,641486,-1,-1,-1,907642,-1,-1,933006,455100,107532,-1,-1,-1,-1,501272,487442,-1,-1,-1,35418,-1,-1,383292,-1,955404,390894,264809,-1,31847,233012,43957,342917,436423,310437,663746,937020,819898,326264,-1,187020,-1,91171,438434,-1,320236,-1,703832,346724,351995,889484,610989,-1,215583,383883,-1,-1,-1,876237,815964,-1,-1,63534,-1,973559,904319,892641,5815,795873,-1,386656,770419,580206,-1,144726,194076,-1,721729,-1,67914,95223,-1,589802,260110,219269,-1,-1,972997,177525,-1,532769,-1,349390,429806,-1,452013,-1,157049,152461,667736,-1,616616,383659,-1,690360,409511,-1,148147,-1,-1,845374,-1,-1,277234,270902,-1,375064,995070,627418,165463,-1,-1,609962,-1,-1,321529,-1,-1,969555,550426,846474,186592,160773,781253,-1,-1,153017,-1,-1,-1,634963,-1,725676,-1,-1,-1,114200,-1,-1,836122,-1,-1,-1,-1,-1,533727,-1,-1,-1,-1,678389,-1,26171,941556,-1,-1,797967,-1,-1,988511,73444,965558,-1,626216,244086,29303,519241,-1,-1,-1,-1,755097,-1,-1,-1,230155,-1,-1,288973,-1,-1,783097,82805,-1,-1,87555,-1,786702,644416,-1,-1,551051,243144,-1,114057,528376,-1,980348,-1,-1,-1,-1,465124,-1,900883,-1,-1,560080,-1,-1,272542,500201,943397,878833,-1,-1,-1,628040,-1,-1,-1,580644,234861,298961,-1,772952,163447,54847,-1,-1,311542,713931,-1,-1,-1,46025,-1,-1,-1,-1,144990,-1,492727,-1,688032,-1,-1,-1,-1,-1,-1,-1,-1,231996,-1,-1,167261,171560,569605,-1,-1,360484,-1,453051,860556,924931,10982,993103,808990,307798,519357,-1,91017,92828,968809,-1,750502,939783,393599,15029,-1,-1,853520,-1,11125,382648,-1,516103,-1,527058,-1,188993,365981,401077,92375,971107,157544,-1,-1,27068,448909,-1,7220,322929,-1,239669,663817,-1,598630,189633,-1,337513,735262,-1,822904,631013,-1,38045,-1,340588,-1,453486,588929,126345,-1,254814,-1,137918,207293,80227,679382,529237,-1,585189,-1,-1,-1,-1,425179,268784,-1,794698,427328,39854,-1,215654,757124,-1,-1,20844,13663,111038,706170,447634,511204,-1,-1,-1,-1,-1,-1,358633,-1,899424,862021,-1,-1,-1,-1,-1,391608,178043,319805,-1,743726,94347,632856,321389,415541,-1,985241,-1,-1,671282,893362,925210,784243,-1,150233,-1,230565,486597,733276,846224,313586,-1,-1,485965,401270,-1,997867,-1,62101,-1,794567,-1,375017,-1,-1,821770,-1,-1,40106,-1,535078,328115,-1,-1,584178,498146,-1,-1,365624,301500,-1,-1,-1,276287,166669,25327,-1,-1,-1,-1,-1,-1,28666,-1,-1,-1,-1,520428,766156,264847,377305,456616,553654,-1,195413,746418,-1,948750,-1,330675,757268,-1,703225,-1,346523,-1,951860,155834,-1,-1,356016,795374,929630,507640,-1,410775,-1,573351,835222,-1,-1,591500,-1,949126,-1,-1,694384,75062,-1,-1,-1,961684,-1,784343,237692,607482,-1,729743,702858,889788,916958,-1,694176,718053,294816,-1,-1,-1,294,-1,-1,-1,253082,814992,-1,-1,-1,-1,190092,596896,-1,121302,594757,193955,413603,-1,-1,-1,-1,-1,758568,631819,264129,611265,-1,545465,374333,883417,718094,187318,-1,-1,-1,-1,-1,198171,44186,-1,-1,-1,-1,565843,-1,-1,-1,-1,237348,-1,36237,-1,862183,-1,-1,-1,360131,-1,-1,986488,50174,-1,-1,-1,622603,931382,62016,-1,907160,-1,461964,237472,209610,-1,-1,960519,-1,-1,719755,-1,386664,-1,-1,621069,681651,24831,-1,853197,208386,-1,-1,-1,282451,560217,718440,-1,157152,252148,-1,554201,67408,912497,233692,-1,-1,581685,622464,111291,760919,355188,572621,462576,649695,487240,-1,-1,321767,-1,-1,812605,441285,760015,732311,42026,282515,-1,-1,-1,-1,-1,-1,265910,718477,-1,950081,-1,-1,-1,-1,-1,-1,-1,953535,562411,824496,92796,-1,736127,188341,190799,797452,581005,647351,-1,-1,616010,-1,-1,-1,-1,39319,-1,934333,29024,-1,890875,-1,244076,-1,-1,945208,-1,-1,-1,-1,81811,990497,-1,402924,-1,-1,-1,926620,656518,-1,-1,-1,5492,-1,-1,2341,-1,-1,394060,-1,-1,244956,732168,-1,275327,846486,963854,-1,-1,507484,-1,-1,-1,467137,-1,-1,-1,-1,110107,165867,85958,446153,310756,833316,984980,-1,-1,-1,699964,112566,696725,-1,-1,291685,-1,422400,-1,-1,-1,660581,47485,-1,-1,902094,-1,756559,-1,-1,-1,634700,301599,457328,402052,-1,-1,-1,875244,499399,50326,-1,947594,208933,-1,139649,414392,-1,609767,-1,894845,137646,-1,-1,-1,-1,143379,-1,-1,-1,-1,716435,-1,788031,-1,786371,882215,137010,-1,469099,287314,302414,-1,-1,346804,-1,673121,912244,581976,549333,-1,-1,123250,-1,-1,924875,993227,494677,-1,-1,484785,-1,803673,639318,-1,-1,-1,-1,330802,106408,587522,-1,182946,-1,-1,107059,616295,-1,380380,972982,379883,837883,595207,-1,-1,-1,-1,-1,-1,17008,-1,309852,-1,774279,116875,-1,54875,-1,595010,464205,-1,-1,497458,302238,660081,-1,-1,-1,263040,-1,-1,-1,140030,853111,-1,-1,-1,570481,811822,-1,327824,894624,596785,-1,-1,-1,955576,-1,173134,86300,47639,228710,519587,888401,958527,872966,296741,-1,264840,253475,114171,715471,-1,576581,433600,-1,164733,-1,40178,236956,-1,-1,-1,-1,706228,695976,308881,-1,424064,554202,513409,-1,214838,49197,429298,950454,-1,346670,979453,-1,862255,572459,498370,115910,444221,220593,291351,-1,376592,631899,53365,-1,-1,-1,651071,962307,882958,-1,-1,69532,148031,-1,-1,-1,-1,34660,101891,-1,871712,-1,914395,356126,952111,-1,-1,-1,-1,-1,-1,-1,255327,-1,-1,-1,354453,-1,978502,713467,-1,144835,-1,-1,-1,429249,213741,714664,220906,-1,-1,-1,420161,-1,-1,-1,607722,73601,-1,715352,-1,681126,-1,-1,-1,667377,-1,532610,12594,482735,298851,930771,-1,-1,-1,712913,444106,-1,808740,474381,-1,351107,-1,-1,75312,-1,-1,404129,540771,458466,-1,-1,-1,218545,739299,148470,531892,-1,-1,281786,-1,-1,85025,-1,-1,168080,961180,783827,541107,-1,-1,-1,-1,-1,-1,132740,-1,-1,615466,-1,820103,-1,532910,-1,-1,-1,-1,-1,854339,-1,769607,-1,225084,886499,829967,-1,704778,817621,-1,-1,-1,714529,237934,-1,805599,-1,601253,-1,23330,747633,226935,-1,-1,673895,74394,-1,-1,990352,-1,236082,-1,188278,-1,230615,-1,569888,688838,208502,732967,864784,-1,45513,613922,201817,721495,-1,-1,-1,-1,-1,356607,-1,-1,-1,-1,258798,-1,-1,405623,917604,-1,-1,220702,-1,500086,-1,147026,289445,829300,122246,975104,-1,-1,-1,181716,-1,-1,-1,-1,-1,-1,-1,220106,380571,509784,130373,-1,-1,501903,-1,-1,44120,626417,367135,-1,-1,-1,-1,-1,-1,378888,-1,-1,-1,110119,798123,-1,-1,774727,157579,-1,-1,-1,-1,95798,-1,566756,225339,651747,-1,-1,-1,882436,-1,450967,666511,-1,989751,463608,-1,-1,843509,862155,738883,-1,659464,-1,134043,-1,-1,-1,-1,26912,320975,-1,-1,203114,-1,-1,599960,171549,-1,-1,-1,-1,-1,229510,749237,595289,-1,-1,-1,156187,181828,-1,-1,-1,384458,-1,-1,-1,-1,266511,-1,197326,-1,551134,890738,677314,-1,-1,-1,-1,929577,995434,468263,-1,800966,637277,-1,-1,335083,246299,-1,-1,47901,-1,635758,-1,-1,-1,-1,278676,230419,816266,-1,108667,709647,994986,-1,331797,-1,-1,384803,123011,748057,799531,477940,-1,610134,-1,196311,-1,636605,-1,-1,-1,-1,-1,674122,772581,937952,-1,-1,-1,-1,-1,719276,-1,-1,356528,211350,805102,10531,358687,680973,-1,-1,927901,-1,-1,270851,206036,152208,-1,208741,-1,564747,-1,90212,-1,672969,-1,175128,-1,808009,108744,641842,-1,184321,-1,-1,-1,-1,-1,-1,698589,-1,355082,-1,753059,3806,-1,-1,801518,-1,546609,307687,-1,-1,613146,-1,-1,-1,915185,-1,-1,-1,847650,-1,-1,923986,-1,641039,911240,-1,465672,-1,-1,16356,-1,358399,-1,-1,-1,680126,-1,805747,641096,-1,976109,136416,400285,102047,-1,971347,214446,485947,352407,-1,-1,354432,220179,-1,-1,-1,-1,-1,133529,-1,-1,-1,-1,-1,-1,341042,605796,-1,-1,330640,-1,-1,-1,-1,-1,217637,-1,-1,42522,-1,-1,906889,771277,-1,117687,-1,-1,-1,-1,-1,863405,-1,442364,698871,-1,-1,960610,-1,-1,-1,-1,486138,-1,629931,886068,-1,497150,-1,-1,-1,664352,-1,898316,787806,430339,-1,514171,46873,314374,756261,-1,966206,477685,-1,425541,-1,-1,-1,596295,-1,139430,-1,865404,-1,593180,-1,985637,658847,902677,-1,178785,-1,749993,907023,-1,407491,-1,985275,156910,28336,303707,691355,-1,373142,632108,48852,778240,900362,-1,-1,325534,-1,-1,969403,188456,789807,500009,-1,714812,390461,-1,131181,309734,-1,752258,672633,-1,532408,-1,-1,-1,-1,-1,-1,-1,982411,-1,-1,834672,-1,635263,-1,799966,-1,606732,13124,-1,823554,747523,975801,-1,-1,146628,-1,841176,266105,-1,574297,-1,-1,-1,-1,-1,-1,505877,-1,-1,-1,-1,885515,340509,-1,76470,864015,-1,-1,655755,-1,-1,-1,992026,994970,-1,354364,-1,621796,808486,-1,93807,-1,-1,934276,681999,-1,599518,-1,-1,-1,747174,495430,498540,786285,43996,930218,-1,382458,-1,260101,666159,140020,-1,-1,456077,194967,50091,174844,-1,662759,180591,-1,-1,145176,62082,260547,-1,969145,52499,-1,981164,-1,702657,766418,590887,-1,-1,607661,-1,111534,-1,726216,-1,-1,-1,530275,181664,343995,161582,161759,-1,822416,890708,-1,82289,-1,457128,-1,541504,366016,925456,-1,755408,434146,-1,-1,-1,579686,422854,-1,287032,752585,-1,485294,372849,-1,284854,494505,-1,-1,218772,-1,-1,-1,-1,-1,-1,4961,-1,926704,748643,271337,103999,818729,824669,-1,-1,245842,-1,566110,-1,-1,235924,-1,46701,235374,755514,341932,-1,-1,-1,977217,-1,-1,-1,72474,-1,-1,26498,182407,-1,606926,281692,658181,293561,-1,978882,554148,485252,-1,-1,820072,-1,116905,341730,-1,27007,-1,514262,-1,-1,-1,548387,-1,650314,-1,102212,-1,337056,-1,671800,-1,-1,623233,-1,485719,360965,-1,-1,-1,999861,-1,369451,518734,186684,662978,184178,255130,187993,536355,941414,103236,559482,-1,98736,495403,-1,241738,-1,-1,478719,-1,-1,975395,-1,438971,213870,827444,-1,807563,-1,-1,460734,-1,629040,312194,-1,276476,810102,-1,-1,989717,922957,-1,-1,409088,-1,40544,-1,184250,17486,857658,683479,964674,900711,984419,33287,802128,332041,739898,-1,193279,-1,-1,703504,568398,324513,609379,339849,853199,595285,-1,-1,732499,654862,-1,-1,292375,-1,389709,-1,-1,-1,-1,-1,270489,-1,-1,-1,-1,474419,-1,61555,67906,48659,517580,-1,196547,-1,236785,205374,-1,-1,995323,567241,-1,-1,-1,-1,-1,-1,93652,146570,-1,-1,-1,190892,897972,256331,916763,99964,347636,-1,528390,142273,791590,-1,-1,886143,272718,289416,503439,852183,-1,-1,-1,-1,-1,287095,-1,-1,-1,537509,869780,-1,469825,-1,749218,880875,399819,-1,871735,-1,333242,555037,-1,884032,866786,-1,510689,63275,-1,674937,-1,60201,243855,-1,499721,-1,-1,337792,-1,186556,451194,28167,-1,199853,-1,-1,-1,313596,600337,17078,470684,-1,-1,771217,-1,761106,-1,-1,727930,397331,81963,-1,704434,295595,-1,111761,-1,830371,-1,682299,-1,-1,910408,-1,-1,-1,836262,146349,355103,471348,-1,-1,98804,-1,-1,-1,-1,984512,531217,-1,-1,973513,908767,83607,-1,387549,621051,164203,-1,756118,696872,-1,-1,-1,-1,670375,-1,-1,-1,437963,136495,861214,-1,-1,666420,352049,912044,688429,-1,874663,496334,699627,612768,142067,285152,638113,-1,977691,660094,-1,861878,394684,222896,-1,-1,-1,-1,-1,-1,607987,49959,271752,-1,-1,-1,-1,-1,-1,-1,833358,257341,78011,692354,-1,-1,304823,-1,91151,611174,-1,-1,960742,748619,-1,-1,295401,-1,591026,939971,60876,-1,495319,208078,-1,325772,-1,779310,255119,687285,-1,-1,-1,-1,-1,814415,296132,-1,701275,471880,-1,392593,-1,469717,940405,695023,959935,690256,868827,-1,-1,750401,935506,-1,687752,395366,860735,818013,-1,-1,-1,-1,288669,219116,-1,-1,-1,-1,-1,-1,-1,-1,530101,-1,-1,975060,810108,549210,-1,344766,645601,443684,522816,-1,552144,945251,523450,-1,624710,-1,-1,631636,112360,-1,-1,-1,817528,-1,-1,-1,256507,-1,626811,340382,103754,880260,-1,145471,706346,-1,562083,209276,978145,-1,-1,518978,502468,415955,256995,-1,-1,350760,-1,72299,-1,662474,-1,-1,934633,614019,885438,-1,292147,81308,377521,586379,519908,-1,-1,-1,301794,-1,-1,819338,-1,-1,820432,42137,205330,-1,-1,907453,-1,-1,-1,-1,498047,-1,50448,641603,-1,13300,-1,928365,158521,-1,596676,450817,392898,-1,925690,167872,-1,40902,-1,-1,-1,-1,147248,-1,-1,-1,257927,384348,-1,-1,-1,982218,58701,-1,886056,-1,-1,86128,270048,-1,-1,-1,-1,783468,-1,207104,13597,-1,-1,368598,-1,-1,-1,301970,-1,775264,744573,-1,626032,67849,378665,-1,-1,-1,-1,-1,-1,-1,265398,370438,-1,327737,-1,-1,744953,901807,698957,475053,-1,-1,411410,808149,-1,-1,-1,597606,170215,536621,-1,975772,-1,-1,-1,925056,-1,-1,143666,962519,162984,-1,-1,-1,829041,-1,344915,537550,813248,-1,-1,988765,126416,841635,464823,-1,-1,-1,502697,591379,646650,749100,-1,756120,916076,-1,-1,-1,-1,9817,-1,673663,-1,-1,560088,-1,-1,-1,-1,295767,451262,435660,496770,-1,-1,-1,80171,599839,519456,138345,643136,87429,444986,725224,-1,-1,397002,-1,174918,206501,269975,990542,269734,-1,468369,-1,808337,-1,-1,-1,247385,-1,749087,373973,-1,735175,243325,33109,598423,-1,398411,-1,610072,611490,-1,-1,332700,143231,-1,374388,226953,-1,109942,925650,-1,350108,-1,863909,979561,-1,56148,-1,-1,-1,751633,-1,59413,-1,-1,235634,-1,830402,-1,424134,935531,-1,-1,714141,-1,154716,-1,-1,154950,178671,331158,924634,844087,-1,931128,740217,374983,-1,142395,618032,-1,160623,226039,-1,-1,-1,-1,-1,-1,464402,122491,-1,-1,900805,-1,-1,-1,701153,-1,769034,-1,558978,56177,47157,-1,-1,781178,-1,278036,243357,886411,-1,-1,-1,-1,433069,-1,-1,-1,978966,-1,269483,-1,448469,-1,786342,985233,253940,600385,611433,-1,-1,758575,321051,943179,-1,903560,-1,-1,-1,605283,-1,622216,900450,-1,-1,-1,-1,-1,-1,81186,673509,-1,-1,-1,-1,959295,43443,95043,-1,364985,907632,-1,-1,791795,-1,-1,-1,253807,788757,-1,-1,-1,-1,865663,215093,-1,-1,380275,17085,-1,797969,420621,-1,-1,-1,751782,-1,290396,-1,402175,-1,831816,468965,886197,988063,-1,718142,455991,383071,862246,-1,867564,-1,274342,856209,-1,879545,405014,11076,-1,-1,652823,-1,-1,84188,-1,768783,-1,510505,-1,-1,761241,749497,786577,798859,218575,428900,963321,-1,462041,-1,60814,-1,304557,-1,23414,-1,390013,-1,295037,21203,722268,-1,902602,-1,452712,-1,-1,-1,137852,355556,-1,-1,-1,-1,-1,392239,142924,-1,-1,813013,-1,-1,-1,-1,-1,-1,-1,492498,-1,186803,251278,-1,580174,791309,266742,324059,-1,-1,-1,371979,420156,-1,-1,514322,-1,-1,-1,256676,-1,-1,-1,-1,-1,603595,873189,859914,-1,-1,858356,118449,955108,494125,-1,630805,819662,475593,-1,-1,-1,-1,-1,38014,-1,204431,-1,52188,-1,577772,-1,-1,-1,693426,626337,893968,159157,-1,840971,-1,42982,295878,-1,-1,442921,156717,303926,-1,702667,-1,732920,-1,-1,-1,-1,287274,-1,830652,395245,279147,959152,535113,-1,448547,-1,-1,-1,86757,997656,-1,-1,921708,257139,292672,223924,-1,-1,241689,-1,378714,5134,795709,-1,-1,991581,711696,-1,-1,152161,408298,528163,719305,731285,-1,-1,127729,728075,584301,-1,40946,506445,872388,183079,-1,-1,659819,240471,31351,-1,696559,-1,548895,-1,788586,777114,-1,143942,-1,-1,808081,101469,-1,349619,467190,746110,857357,595383,-1,292243,-1,-1,834735,476915,27548,-1,535122,632899,717255,806123,91144,377091,914868,-1,-1,266279,740776,374049,738759,774903,-1,435412,-1,-1,972406,373028,460975,-1,790625,644061,-1,144264,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,297225,969333,-1,-1,399150,-1,433793,843173,748059,603295,-1,383763,198621,-1,-1,118526,1726,-1,-1,709154,113970,-1,-1,206879,217818,-1,-1,315620,440913,-1,485083,555180,-1,-1,496713,-1,470269,-1,281739,990543,107826,-1,-1,920873,171017,622249,129931,-1,-1,780062,834560,646262,386392,507118,-1,279852,-1,-1,-1,475097,-1,216537,452834,-1,605881,260481,-1,618142,-1,-1,976666,-1,363321,100032,255248,606536,916141,-1,-1,283719,-1,864687,-1,-1,44759,982843,-1,-1,696871,500794,342419,981874,-1,679272,713065,663159,-1,-1,968099,-1,776725,51751,-1,511483,-1,233237,655257,-1,-1,-1,341474,911511,-1,-1,946747,193545,304044,159400,-1,-1,-1,-1,-1,27836,-1,76477,937019,-1,-1,144442,-1,-1,300612,-1,906521,-1,-1,245682,91467,-1,-1,-1,-1,492585,-1,428581,-1,-1,425289,-1,291689,-1,904253,716437,-1,61167,435293,-1,501243,865597,398733,800243,855289,-1,-1,570032,-1,732036,480662,978854,-1,429464,502580,-1,945661,-1,964082,149158,546643,231890,-1,-1,883192,200618,-1,-1,-1,426584,421380,-1,9041,725771,589338,-1,-1,-1,-1,-1,577047,-1,423579,179360,-1,-1,662365,968634,-1,763140,-1,707364,-1,-1,-1,888564,793153,407562,-1,421666,-1,-1,-1,366949,-1,669448,701077,-1,157903,736185,712251,-1,-1,494283,632499,-1,257113,-1,-1,867838,-1,19173,847737,-1,698153,957863,168276,766090,-1,-1,-1,-1,-1,20376,577494,-1,296878,229056,676678,-1,-1,-1,-1,-1,119775,607522,596480,515476,415087,534852,379724,528730,-1,780480,560064,-1,-1,205406,-1,-1,50019,-1,651310,855714,-1,-1,675015,-1,122222,965402,449779,-1,683564,-1,-1,931403,-1,949292,291011,589478,574478,-1,968248,635264,-1,791144,-1,-1,-1,-1,-1,-1,-1,-1,-1,549401,-1,190755,140422,-1,151765,-1,-1,-1,510648,-1,336066,494509,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,990744,-1,-1,94426,-1,844252,-1,-1,-1,-1,560288,234740,507971,-1,-1,9442,561550,-1,-1,57530,-1,-1,-1,-1,522817,-1,122268,177603,63268,806031,-1,-1,198401,201572,-1,-1,182089,344723,-1,-1,933975,-1,-1,-1,-1,879252,795611,-1,435551,963753,121654,551738,-1,151318,-1,-1,-1,-1,688965,881584,-1,625335,830885,668526,311526,-1,739438,-1,376337,-1,671716,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,107435,106529,830817,-1,476268,232187,-1,466579,-1,-1,-1,-1,-1,197024,314404,65440,-1,563833,803516,463540,-1,491091,996666,97478,-1,-1,45787,131553,509914,681685,142950,-1,10201,980481,-1,552069,-1,535225,481916,-1,-1,153073,664518,43310,474347,-1,711736,-1,-1,-1,-1,553681,635096,-1,-1,-1,-1,-1,-1,782954,-1,-1,-1,259072,446870,-1,-1,-1,118766,961818,-1,284283,574497,-1,151152,-1,-1,132508,525741,200894,-1,-1,-1,-1,30202,-1,669688,-1,-1,-1,-1,-1,-1,-1,485797,-1,566547,294338,-1,803372,-1,184338,448395,-1,-1,663788,156208,-1,-1,-1,947807,-1,532276,112770,812365,-1,-1,569026,-1,-1,280372,-1,378412,293072,-1,813611,594386,899843,-1,-1,-1,606030,-1,-1,-1,-1,24402,-1,-1,681526,730317,-1,531223,-1,-1,899705,-1,-1,-1,-1,199431,564552,-1,607909,664714,-1,116743,-1,-1,-1,127054,-1,168681,-1,678247,442198,-1,-1,-1,543546,-1,455508,810428,-1,867798,413879,489632,-1,420953,-1,-1,380333,-1,236530,678664,-1,-1,999273,713142,823326,-1,-1,-1,-1,973349,-1,540916,442706,19904,662139,858486,-1,988569,-1,-1,-1,910069,245556,249789,-1,315652,98407,-1,-1,850758,-1,730321,-1,-1,158434,462856,-1,188891,-1,-1,557970,534739,-1,-1,293234,-1,-1,-1,-1,105439,-1,299665,943680,-1,-1,630675,815529,-1,77373,735443,-1,984221,-1,-1,23696,644951,496788,-1,303391,905070,547379,-1,-1,-1,929074,293243,88046,-1,116479,-1,56620,-1,782606,592549,-1,-1,-1,-1,-1,-1,658759,143702,-1,-1,371431,-1,944530,119109,-1,114435,870494,873092,-1,555737,437399,959947,-1,-1,185514,-1,70746,-1,-1,650197,734723,266716,-1,568968,708711,259790,-1,-1,-1,723471,-1,605918,-1,551195,-1,303275,-1,-1,-1,-1,249739,-1,910882,-1,897789,-1,644799,492818,494040,965646,260649,-1,61875,652442,-1,-1,609700,-1,298203,792506,624541,819222,7267,8605,727645,-1,587907,725145,253890,520750,838464,743033,-1,-1,-1,-1,137082,43658,347023,698881,209229,336420,-1,683040,-1,-1,-1,139953,736225,129373,-1,677921,-1,-1,344689,703961,-1,517962,-1,-1,485555,-1,-1,-1,-1,688736,-1,-1,122637,447231,486185,-1,-1,756199,296568,-1,-1,812559,764236,632913,179560,-1,823738,513329,99429,-1,-1,272899,698802,362768,-1,542975,969262,290380,-1,-1,-1,321922,-1,-1,605999,-1,-1,277421,962719,-1,237652,-1,-1,888,59682,-1,627485,827592,815781,753622,-1,-1,-1,479287,702602,471683,968949,-1,18649,-1,888218,-1,-1,381748,335086,-1,-1,518062,686953,797769,917539,-1,-1,-1,12186,471963,906047,-1,997228,-1,670103,-1,-1,-1,444237,864067,-1,-1,715144,732045,-1,338837,265726,-1,-1,-1,42076,-1,-1,448634,-1,998438,-1,-1,-1,-1,-1,594033,-1,441390,-1,210575,359473,-1,336955,371600,275654,-1,260026,-1,394645,-1,-1,661039,921030,751415,749371,967229,-1,359293,770902,35378,-1,288969,-1,-1,-1,772117,-1,644996,-1,-1,385269,-1,547145,-1,-1,-1,585940,-1,93170,169215,593060,820229,-1,-1,-1,-1,875232,181937,-1,-1,644398,686915,869006,-1,196051,-1,-1,234905,192513,181432,-1,343328,337595,-1,-1,219219,-1,553430,60866,-1,301556,349653,269903,-1,709676,-1,293532,-1,-1,-1,763293,-1,994111,643607,-1,978095,574585,819828,653108,-1,147237,-1,713664,-1,-1,236255,-1,-1,411299,-1,786830,389079,-1,-1,-1,-1,773933,332582,247115,127714,-1,-1,71921,-1,-1,88866,-1,367107,646549,802689,935902,91534,849363,-1,989601,422168,-1,336773,-1,-1,-1,-1,-1,390284,138641,-1,-1,-1,547421,-1,712999,295750,926707,198446,537437,-1,845792,326017,-1,-1,-1,-1,204843,414641,914591,573629,897159,-1,293977,948154,-1,-1,-1,-1,-1,463922,-1,950430,-1,-1,972104,540067,175385,-1,-1,88360,54128,392978,-1,-1,608971,-1,-1,-1,614428,-1,-1,717572,-1,768616,768752,383333,-1,-1,-1,-1,237812,-1,74534,-1,199416,-1,-1,-1,-1,-1,195322,108675,-1,503977,-1,107780,-1,285270,661360,46347,-1,-1,-1,-1,889215,917597,848788,-1,-1,641699,529441,10249,-1,2698,-1,432089,-1,-1,-1,-1,-1,-1,-1,848203,-1,-1,593136,-1,350496,-1,567577,102344,-1,734339,-1,-1,-1,453925,-1,-1,60684,393979,278966,-1,31457,275761,169086,414970,177326,474259,314722,-1,123048,-1,333612,311976,-1,169154,-1,-1,-1,-1,323871,660463,812188,830594,-1,-1,85246,543419,675576,-1,-1,-1,451910,-1,243687,-1,762850,-1,-1,878807,279431,-1,521032,213314,998896,820463,794749,801985,563380,-1,111629,709176,360870,240047,258228,-1,-1,917829,-1,658406,469141,914523,999449,382504,891603,530652,-1,685974,107809,-1,658803,-1,-1,816518,841976,-1,-1,658756,257805,419784,680227,-1,-1,769201,228453,932636,-1,-1,149352,-1,-1,-1,181100,79728,-1,-1,-1,520054,-1,587349,-1,948789,-1,4395,106551,-1,-1,-1,-1,438556,200174,-1,-1,-1,-1,292257,497995,398990,754763,-1,-1,400286,142330,288975,149737,-1,-1,-1,943764,304330,82707,-1,-1,20901,-1,68998,-1,12298,227957,838960,753431,680127,288724,591568,-1,-1,344371,103171,-1,231110,102441,504842,6765,-1,885288,-1,568993,55729,857534,-1,-1,-1,453905,478268,725375,-1,-1,350966,-1,116236,-1,775190,932948,435931,-1,-1,68467,-1,544382,-1,924359,-1,-1,401350,-1,-1,79746,63801,128760,-1,206949,-1,-1,394452,-1,-1,577768,423855,-1,768727,-1,-1,145735,586965,-1,-1,-1,-1,967462,505729,-1,910797,678945,483178,-1,-1,567631,762723,-1,-1,478212,290353,-1,-1,-1,-1,447940,741958,-1,959966,-1,653649,-1,352364,-1,-1,111879,-1,3518,-1,23825,-1,-1,-1,-1,-1,-1,615345,-1,714385,-1,729928,-1,778195,798191,391316,-1,-1,418253,121036,-1,-1,142663,841929,-1,-1,-1,-1,325642,394415,659604,-1,-1,192299,-1,-1,-1,-1,805848,-1,-1,555112,-1,-1,960137,-1,-1,691055,-1,970623,15000,98877,729418,396126,270788,-1,834189,417489,524984,-1,803275,-1,874122,-1,-1,181293,-1,-1,468776,105360,927550,563484,35576,347194,-1,-1,578519,-1,599351,-1,-1,-1,-1,54169,-1,-1,-1,858422,542601,462264,-1,673118,-1,534759,-1,209333,859634,-1,-1,-1,-1,-1,202399,40571,-1,946753,590195,-1,373611,694142,644813,-1,-1,-1,-1,-1,-1,-1,-1,270990,376591,-1,620977,383008,919198,-1,698199,-1,45654,168059,-1,-1,787327,117540,-1,517786,368012,-1,-1,610233,-1,598986,386383,119988,-1,-1,71018,-1,-1,828145,-1,414467,-1,409031,751150,-1,-1,261509,265070,266031,-1,582058,746086,906673,66740,-1,-1,742696,47203,302825,869618,-1,-1,-1,-1,812877,-1,776803,394036,17795,581101,178214,444931,972294,-1,-1,-1,-1,549694,-1,666494,-1,-1,-1,361864,-1,114485,755133,354864,998568,241852,705580,80278,931530,-1,-1,-1,-1,778948,-1,556349,-1,101450,-1,728936,-1,903783,134295,-1,359739,119461,965343,207597,734053,49878,-1,-1,-1,-1,405997,-1,-1,273539,-1,535272,620456,771779,-1,154417,396896,-1,814700,-1,-1,8978,930506,-1,544792,424418,787136,786229,-1,481573,-1,901475,399148,-1,608619,-1,-1,555508,586460,-1,946543,-1,-1,-1,108752,-1,679055,811126,383832,-1,-1,-1,-1,55205,982454,-1,606330,800626,-1,307366,-1,363627,589310,-1,233949,234518,-1,224805,575514,46965,-1,840392,-1,-1,678388,-1,751945,-1,-1,-1,985126,952662,-1,850803,-1,-1,-1,798772,76880,749790,-1,-1,-1,-1,169967,558687,528908,-1,-1,656921,-1,929925,-1,137784,788168,373795,132804,492039,28605,-1,-1,610156,296161,-1,-1,215837,210395,839600,323913,-1,-1,-1,393965,-1,763879,40102,-1,-1,403526,748098,-1,-1,-1,-1,127198,-1,-1,995584,-1,-1,583359,-1,363451,-1,-1,-1,-1,-1,-1,9633,239856,229479,-1,-1,183039,482115,-1,-1,-1,-1,-1,-1,426007,89805,-1,83276,127159,112236,-1,264980,999682,-1,-1,-1,642477,-1,262751,-1,-1,-1,-1,758606,787373,-1,928645,283412,920566,400904,473189,-1,251032,-1,536790,-1,-1,-1,886142,-1,-1,-1,-1,-1,-1,-1,-1,310921,38728,906451,-1,214403,351532,-1,541737,-1,-1,919447,254231,-1,-1,-1,614157,-1,15142,-1,-1,856080,125140,806601,507721,76990,387176,-1,773182,-1,508820,77760,962716,-1,831645,486063,999152,317596,-1,-1,682222,249995,-1,-1,297918,300075,351564,-1,708316,-1,798793,221678,207525,-1,477628,-1,657679,204759,-1,-1,639731,197318,756104,399420,556090,-1,-1,-1,-1,-1,740338,-1,233365,368246,-1,-1,309416,564248,-1,-1,-1,-1,541615,-1,-1,351238,-1,-1,-1,-1,112885,-1,513746,-1,-1,-1,263700,-1,21251,-1,693019,213448,-1,-1,799727,-1,-1,943730,358149,-1,744191,658066,-1,241779,-1,-1,170299,-1,-1,923458,650347,430600,103032,522743,524507,532621,507970,-1,257361,406586,504312,-1,-1,165161,-1,-1,-1,-1,-1,554766,71321,159644,-1,-1,-1,25654,-1,-1,-1,-1,298696,679085,531918,-1,245777,-1,-1,367708,-1,-1,-1,-1,752537,-1,-1,-1,105794,-1,-1,690610,-1,68300,-1,767118,-1,477448,968805,-1,-1,4500,400013,-1,75945,-1,962917,128304,-1,615917,-1,-1,-1,408170,597204,-1,-1,-1,435248,737909,-1,-1,-1,-1,-1,544117,-1,538977,-1,-1,-1,610857,33290,-1,515207,-1,-1,-1,965981,436567,985125,-1,-1,631831,-1,-1,220416,-1,-1,997619,-1,568004,-1,-1,-1,410516,885382,-1,-1,590737,-1,-1,170677,784312,757614,-1,77592,-1,-1,-1,-1,-1,423096,-1,275370,-1,-1,-1,-1,53066,583656,-1,-1,-1,-1,-1,807431,-1,-1,-1,222588,698996,-1,-1,683476,-1,976067,-1,994489,665907,-1,664050,403487,-1,495076,-1,-1,734009,959786,910804,939988,-1,242273,-1,313603,542869,174488,563936,164962,63732,935814,-1,951643,342503,-1,-1,-1,735879,-1,34978,301543,-1,-1,-1,602102,848844,-1,-1,343959,21204,-1,738160,-1,146980,-1,593838,-1,281182,-1,993276,212549,-1,776605,-1,58804,732399,941086,-1,770804,708594,-1,-1,-1,-1,-1,161967,-1,-1,142491,-1,462559,-1,-1,42356,543757,562486,629712,-1,-1,-1,-1,-1,-1,-1,-1,525462,-1,-1,-1,-1,67157,-1,881812,362118,273118,202095,-1,523423,935012,-1,-1,-1,-1,816304,-1,298272,-1,55098,-1,317683,518797,631243,-1,300797,367906,-1,319527,-1,878743,467736,-1,-1,-1,-1,652776,878272,391692,275932,-1,427096,982417,178248,911901,227449,-1,-1,-1,972597,657788,66303,-1,-1,164719,993577,-1,-1,50742,-1,-1,932956,784176,-1,420069,489419,275728,740168,-1,-1,248625,232119,283142,-1,-1,-1,669632,-1,423696,-1,338922,845723,-1,698163,682808,608601,453457,152952,-1,-1,-1,-1,740255,240404,173047,-1,-1,495020,921194,-1,-1,-1,-1,-1,-1,147032,-1,-1,624095,-1,-1,-1,-1,430929,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,559345,-1,-1,-1,990783,-1,-1,-1,-1,779815,241695,344732,-1,242562,-1,718521,545849,648572,-1,934823,-1,47927,450048,508169,-1,-1,-1,279700,-1,-1,-1,-1,-1,-1,755908,323777,314401,488664,-1,-1,-1,-1,-1,801854,895343,814600,-1,733732,-1,845104,-1,847081,-1,-1,-1,416800,364300,987714,-1,-1,259293,-1,-1,947072,-1,210489,890038,-1,524020,-1,-1,760685,890772,-1,-1,544832,540094,362532,658290,-1,-1,-1,660648,870833,675653,-1,-1,593901,-1,407827,904776,-1,862260,354711,819905,-1,-1,-1,-1,274340,-1,-1,-1,850941,354029,-1,522099,-1,-1,-1,350754,-1,736547,-1,-1,-1,658388,-1,-1,817056,991709,-1,91980,252851,-1,617196,209595,594662,-1,304635,331679,818948,-1,-1,-1,-1,307071,367181,-1,-1,-1,-1,-1,-1,-1,94683,761684,359964,647777,129436,-1,-1,987417,154418,-1,-1,-1,708731,-1,-1,-1,-1,962675,-1,959010,633176,-1,-1,-1,-1,-1,8567,914897,876626,-1,-1,518289,-1,91506,-1,-1,-1,-1,-1,795029,159635,-1,-1,-1,-1,-1,39470,111529,842985,-1,-1,-1,594855,-1,895217,-1,-1,893811,441370,-1,-1,959386,-1,207596,619641,-1,-1,-1,430975,537710,864975,-1,-1,-1,264410,-1,-1,832048,493922,111895,617163,-1,-1,454789,248746,-1,-1,-1,857407,-1,704104,-1,-1,738147,858798,898939,-1,236910,228339,-1,-1,693036,993807,-1,-1,837323,-1,363944,148901,-1,-1,-1,989455,319787,-1,450183,965609,-1,-1,-1,-1,-1,-1,952232,-1,958000,674119,528658,-1,45632,407866,142541,-1,-1,911,-1,560401,45592,-1,562050,799354,831266,404081,666863,-1,-1,-1,-1,-1,857782,87456,-1,-1,-1,373451,71145,82351,-1,-1,737678,293566,553261,395966,134742,-1,-1,-1,-1,934486,213258,-1,-1,711497,412181,-1,-1,600116,570263,678198,-1,986163,285371,424863,-1,957271,-1,-1,11418,-1,748126,-1,-1,834922,480336,366415,-1,198659,802493,-1,-1,80903,957645,272377,-1,-1,-1,-1,-1,313531,202580,-1,-1,758708,-1,415362,-1,-1,-1,-1,-1,919759,-1,916980,-1,499028,85091,-1,-1,811467,-1,-1,733892,611947,808710,407024,767224,-1,-1,-1,184846,-1,613310,-1,-1,95652,873281,-1,733617,581044,-1,-1,859795,981324,-1,-1,101125,170647,-1,-1,-1,-1,-1,596814,740936,-1,918967,343938,-1,292175,-1,63599,798765,-1,888075,-1,-1,367572,978563,-1,742194,333317,-1,630729,-1,-1,208217,978142,-1,939453,761195,-1,-1,-1,615140,-1,-1,-1,849864,-1,655924,777144,747422,341925,230804,-1,699094,-1,-1,101053,668595,-1,506745,771080,990668,788311,170942,228432,-1,318346,-1,728271,-1,943599,442735,-1,-1,128836,546961,101313,-1,453720,908421,-1,380123,868319,-1,-1,-1,231469,-1,626563,-1,517133,594799,-1,-1,57185,351315,304524,600635,-1,-1,429241,-1,556630,-1,-1,-1,-1,-1,-1,889744,33275,274275,114300,312127,-1,303356,-1,866444,-1,86538,308439,-1,834882,-1,23743,-1,321352,-1,-1,740092,335947,-1,62907,-1,637932,-1,-1,-1,-1,-1,-1,283395,831836,-1,177664,-1,-1,718198,-1,434142,-1,-1,478821,-1,476233,-1,-1,270849,699706,87781,653386,-1,-1,-1,367999,273506,462009,-1,232388,-1,599458,-1,-1,-1,-1,186021,-1,-1,-1,-1,-1,679160,563635,29558,836894,942544,391579,-1,934527,-1,253795,292862,506274,-1,423621,-1,852760,172249,-1,-1,-1,8581,-1,315388,40450,-1,499614,153511,983824,-1,-1,348918,426079,499777,-1,-1,-1,634854,-1,712414,263693,319694,926654,205023,-1,-1,6436,-1,-1,-1,-1,837738,38829,987538,738099,287017,797195,-1,-1,-1,-1,682579,856995,-1,-1,995812,-1,-1,-1,-1,-1,-1,129801,257995,-1,-1,97981,712490,316638,838519,-1,-1,-1,-1,985549,-1,789725,185725,206666,442336,-1,-1,13524,996779,-1,-1,-1,605585,455709,969534,-1,99322,-1,124068,734100,742539,-1,900422,915503,578038,2170,-1,366307,497565,307187,-1,671414,-1,-1,67777,-1,861298,-1,756016,207645,-1,831982,650972,475041,193781,-1,89246,-1,-1,978050,759607,-1,-1,-1,-1,269921,246449,-1,-1,168195,-1,583316,-1,-1,-1,-1,-1,-1,-1,772596,-1,794244,873621,861750,-1,370171,-1,153206,-1,93540,109955,-1,-1,-1,-1,757529,829752,-1,301330,773513,820632,-1,80600,508463,-1,-1,620794,623907,-1,-1,-1,-1,-1,826806,-1,-1,-1,911142,153938,970488,-1,317092,702666,-1,-1,685138,-1,272227,-1,65673,93034,353786,-1,-1,-1,975259,863865,-1,-1,450069,295946,231252,-1,235835,523337,-1,482128,974139,-1,-1,700595,-1,-1,555887,114035,166996,-1,898168,905465,996995,487973,-1,319383,113638,163227,779406,-1,360510,-1,613145,-1,473867,81688,992906,639440,-1,738608,-1,-1,-1,-1,309560,791705,-1,573782,-1,998107,666868,208176,-1,310826,-1,47876,-1,971589,966432,902126,477453,827333,789729,898860,921156,350620,179698,-1,-1,-1,-1,-1,549959,25290,4080,436544,-1,872012,-1,838164,190157,271252,207080,609381,-1,-1,386154,197940,819229,-1,-1,-1,-1,-1,821210,172417,996433,680906,-1,-1,436254,-1,107711,-1,-1,-1,429139,-1,-1,-1,467448,436379,387891,-1,-1,-1,856838,-1,714147,-1,-1,-1,-1,-1,596456,-1,-1,259650,-1,970733,-1,453322,-1,-1,-1,861302,672142,391208,-1,294172,-1,-1,844072,386089,-1,-1,-1,-1,748987,-1,-1,331271,-1,673219,-1,783607,171589,-1,-1,-1,235633,-1,-1,454717,913759,670830,790403,247653,125959,865747,-1,646842,-1,-1,137936,289106,954986,378021,-1,-1,-1,-1,-1,-1,54406,-1,583773,-1,-1,191250,214968,-1,26928,-1,-1,-1,825697,747983,595137,79722,-1,-1,73805,989023,165080,-1,-1,-1,-1,684520,177824,-1,239855,199057,134898,-1,-1,-1,-1,-1,920624,289220,622273,786778,577732,554036,-1,618915,-1,217485,620342,-1,569787,681534,-1,218214,-1,-1,197783,-1,-1,-1,399401,-1,383106,-1,-1,934078,927561,-1,372880,-1,-1,129600,-1,236197,964567,923164,586156,36733,-1,132594,895285,-1,636987,-1,913534,774177,-1,-1,-1,-1,-1,-1,-1,-1,599716,-1,-1,-1,608702,-1,837393,403530,682918,-1,-1,339702,725717,453694,-1,-1,572175,328389,-1,146972,-1,-1,964195,-1,239040,-1,780275,-1,-1,598007,-1,161202,-1,-1,686348,549160,-1,165538,-1,-1,-1,859921,593694,-1,142999,-1,-1,-1,421572,446862,-1,-1,427227,137304,-1,-1,13870,332314,-1,-1,633610,-1,-1,39156,517216,864921,-1,778920,-1,-1,-1,-1,-1,71623,166133,-1,-1,829591,516501,-1,396444,356015,927982,632487,-1,937617,876384,-1,607738,422841,-1,566900,-1,-1,-1,171924,105679,49473,736719,310778,857608,-1,167010,-1,541676,597176,95142,427093,984766,-1,-1,-1,-1,815096,-1,-1,-1,-1,354042,976877,990436,-1,-1,-1,962994,143272,-1,-1,-1,631212,-1,-1,344581,-1,984271,-1,921459,-1,143895,-1,-1,763577,41815,965624,-1,-1,-1,665923,-1,870517,927285,399011,-1,230351,410521,807406,-1,-1,-1,-1,-1,-1,589200,-1,-1,-1,-1,-1,576072,959312,-1,193937,-1,265620,-1,125470,23296,-1,430890,-1,866382,735302,-1,-1,916117,-1,-1,508240,-1,332994,-1,-1,-1,-1,544272,-1,-1,649113,-1,-1,36296,-1,206344,409276,-1,889943,-1,141368,-1,-1,-1,546802,-1,-1,-1,-1,296285,895620,-1,213269,769601,479928,737050,-1,645863,73054,-1,-1,471360,-1,-1,161369,-1,30536,167333,50796,-1,336781,272276,-1,-1,-1,-1,900653,-1,830108,280837,87307,805462,26253,-1,-1,-1,-1,247642,-1,-1,566369,-1,-1,-1,-1,133795,398109,237254,-1,-1,-1,-1,4193,346310,-1,326512,452920,341527,-1,622335,290080,-1,-1,826895,51360,854333,131633,-1,369822,-1,-1,931963,-1,-1,679003,469471,-1,-1,-1,497634,-1,126545,-1,-1,631529,272856,395962,374384,-1,-1,623647,-1,-1,-1,-1,-1,382025,458280,616067,-1,-1,799318,412581,-1,-1,882020,-1,274511,-1,-1,-1,-1,-1,626813,102181,641367,261149,372310,-1,-1,183702,445852,391993,-1,320589,-1,-1,17727,-1,-1,381315,-1,-1,428928,-1,531317,-1,922174,-1,336305,-1,-1,300985,403774,-1,576367,-1,-1,438959,-1,-1,164759,210568,689629,161832,-1,926346,-1,107578,-1,949916,856047,409571,-1,-1,-1,-1,492426,398400,975998,47531,-1,-1,-1,-1,-1,-1,-1,-1,672128,-1,714558,-1,-1,999268,247701,110133,764895,735330,118276,-1,-1,265040,-1,-1,-1,416449,872436,186727,-1,-1,-1,-1,543996,624179,701363,31798,-1,-1,463781,-1,846615,-1,415957,-1,301011,-1,122066,-1,800208,895445,-1,325516,-1,791870,-1,-1,-1,61941,-1,818875,870912,444268,49208,677655,-1,209301,362261,-1,-1,719878,-1,-1,687612,756146,-1,-1,215110,-1,980538,992460,-1,-1,-1,362539,-1,-1,-1,-1,750213,-1,356920,-1,-1,892508,-1,466360,-1,-1,-1,370777,515966,628285,247222,-1,-1,314036,-1,-1,-1,-1,-1,-1,-1,-1,-1,911619,-1,-1,221284,-1,484417,-1,842215,515742,-1,247631,-1,218496,-1,-1,64096,912172,364800,301474,-1,30952,424990,654224,-1,978829,287265,-1,213694,537383,-1,-1,-1,130898,-1,-1,-1,134331,932096,-1,268713,-1,-1,-1,508745,-1,564720,-1,-1,857949,413427,159372,905762,420862,308815,643701,207354,381690,-1,681508,859656,-1,-1,511662,-1,-1,-1,-1,-1,493692,-1,391253,154992,567383,865532,-1,-1,494297,-1,480185,-1,287470,-1,842016,-1,436203,394860,-1,159489,942688,759370,-1,203506,947708,109445,-1,-1,-1,203011,384353,-1,-1,670944,376607,-1,232498,-1,59895,-1,-1,-1,-1,875430,34546,-1,-1,-1,624317,-1,370344,-1,761905,893996,216045,-1,491305,300900,-1,-1,-1,492702,355629,817188,677828,489882,-1,-1,-1,-1,-1,592057,53886,-1,102398,2340,415877,-1,550917,-1,-1,-1,-1,348979,-1,105644,-1,333918,-1,-1,-1,299222,907185,502620,852712,-1,998276,-1,718429,-1,74976,665540,43479,435738,456272,25925,970011,-1,-1,277079,962773,917261,128006,561867,244476,-1,-1,-1,850545,702941,13125,-1,-1,-1,478957,249806,731015,334778,150933,-1,-1,785817,924167,866942,402259,975717,-1,-1,-1,-1,465254,18194,-1,289633,-1,-1,947949,-1,-1,-1,543004,283673,278362,599019,-1,658458,700935,-1,632105,-1,-1,353973,307447,-1,-1,669146,-1,782592,-1,886327,-1,-1,-1,-1,-1,830823,-1,355627,-1,928660,-1,596493,460089,-1,442817,597148,-1,-1,987274,230645,128451,436932,139251,512448,-1,919111,-1,14723,308555,-1,-1,-1,948475,-1,791158,971033,724760,-1,666485,458360,849582,619646,903337,59182,284047,-1,-1,720177,-1,-1,-1,-1,528324,-1,331577,-1,-1,-1,-1,-1,-1,942374,776301,730540,288163,75779,427198,-1,-1,778043,325541,-1,726193,625775,996268,-1,664795,8835,862056,874625,-1,-1,-1,441799,410365,-1,671793,837763,-1,170881,-1,178665,-1,-1,531973,-1,269763,249825,-1,642749,851717,649786,-1,384426,-1,-1,-1,188249,314023,228056,-1,703356,35995,244769,-1,-1,-1,426463,-1,894761,-1,621599,-1,645453,-1,247573,593695,842108,795714,-1,-1,-1,94704,581726,500724,594668,-1,620610,122148,784870,53025,211451,-1,933214,9501,947077,-1,-1,820160,638623,-1,572192,-1,184654,-1,-1,850680,-1,342019,-1,259997,948876,725558,-1,-1,-1,215905,791286,323006,-1,726884,-1,-1,-1,-1,-1,-1,788675,831651,171653,925854,201551,-1,248552,-1,-1,347483,-1,-1,734306,-1,-1,-1,-1,775046,-1,209220,114193,916462,-1,-1,-1,617305,-1,563208,793604,-1,-1,779574,-1,436282,-1,-1,123960,-1,665420,-1,799424,-1,-1,-1,-1,-1,394961,494890,-1,751614,-1,613392,-1,893899,778055,-1,-1,-1,-1,-1,149027,-1,-1,95883,-1,158213,-1,499568,782492,747406,80091,-1,-1,597049,188047,419701,-1,831059,-1,-1,-1,920188,-1,-1,-1,-1,-1,-1,-1,939818,83743,103295,-1,934945,-1,-1,485330,-1,-1,-1,-1,25048,17296,-1,-1,614390,-1,522547,16651,831376,8376,304703,-1,-1,-1,280795,267929,772842,69385,380323,-1,-1,461659,-1,94707,658799,-1,860226,-1,957308,-1,41978,-1,362943,236415,78538,951335,761196,-1,727297,490871,-1,7936,-1,-1,-1,-1,-1,-1,-1,200229,439203,780716,-1,-1,-1,101985,-1,-1,-1,-1,6167,593097,-1,25229,-1,192868,953016,122756,-1,828122,-1,925523,883400,357015,-1,827141,343533,25073,405918,-1,-1,711729,-1,468856,905509,962197,-1,-1,-1,-1,-1,118833,-1,510432,61414,-1,471443,-1,382419,-1,634012,733134,294430,722614,398893,-1,-1,97337,498986,-1,-1,624802,716130,-1,325903,-1,450537,-1,-1,-1,83773,223075,-1,-1,-1,-1,92255,-1,112909,-1,-1,505138,-1,304230,972045,937911,-1,694890,655741,667965,489285,822702,533198,-1,-1,-1,803885,533565,599117,496833,920454,-1,976861,13090,639413,-1,-1,99338,-1,133808,-1,887902,567759,777282,587914,810225,-1,896736,-1,-1,-1,-1,-1,-1,282173,-1,-1,-1,622823,830413,540428,-1,108903,32948,-1,510683,-1,-1,-1,-1,673190,-1,66503,-1,80744,757473,-1,-1,316861,890435,-1,-1,-1,253108,178084,939510,994006,-1,506148,489816,637727,-1,33630,939861,-1,901117,862423,-1,289770,60011,-1,302753,-1,367846,737143,5473,-1,-1,-1,203059,-1,-1,850173,982323,-1,-1,256277,-1,636850,-1,-1,-1,-1,649810,-1,288794,456934,772133,413607,-1,-1,375066,312533,112085,503466,-1,208424,773108,-1,-1,-1,-1,-1,272928,996225,372783,21880,-1,-1,-1,-1,-1,-1,417040,465148,-1,-1,-1,-1,772126,550035,197580,488182,-1,439640,-1,371390,881328,421062,457652,-1,-1,505629,585205,-1,-1,943450,-1,-1,-1,-1,297526,-1,-1,-1,424425,644072,-1,281985,-1,320022,-1,-1,-1,-1,101361,-1,-1,568260,124859,-1,325679,961183,-1,-1,-1,-1,755289,372062,419505,72289,-1,836639,-1,-1,457463,-1,979253,-1,-1,45284,133366,-1,713848,343055,848817,-1,256018,451812,-1,-1,-1,-1,-1,109710,721083,530440,-1,9807,700088,-1,-1,-1,20491,-1,-1,-1,575500,414417,-1,577453,997165,243107,86234,151019,730841,277563,213254,-1,-1,459580,599567,-1,-1,-1,-1,-1,694145,-1,-1,850607,-1,-1,862543,821695,-1,416880,-1,-1,-1,-1,-1,-1,151353,816350,-1,560425,-1,-1,-1,966063,966163,968969,-1,121747,392162,517572,363270,-1,610556,-1,933853,952658,-1,-1,-1,969044,212399,22091,146102,794154,946497,546935,-1,562649,220030,867196,-1,636479,976555,355973,701222,-1,125861,475505,498869,778974,71943,497275,-1,80486,-1,-1,642349,277289,216380,480601,-1,-1,-1,183148,646280,6811,-1,693466,-1,-1,-1,-1,248511,382920,-1,968669,410898,-1,475990,-1,-1,-1,-1,-1,-1,-1,370044,873486,-1,569801,84844,-1,788697,32399,-1,574144,830912,639262,-1,10642,-1,313471,558862,407088,-1,471331,-1,126923,-1,572942,-1,-1,925749,703611,852192,631293,653135,-1,-1,194808,-1,-1,166985,-1,312662,613017,909158,-1,-1,647788,-1,529718,447216,-1,434896,922535,583013,-1,-1,-1,810749,-1,-1,-1,243906,-1,910888,115045,838333,148355,189859,982520,706013,94041,162532,-1,-1,-1,329374,-1,846353,-1,902258,-1,127735,956732,519757,-1,103480,-1,465656,71415,500568,130601,843107,-1,-1,856690,781057,-1,-1,652201,124813,-1,825082,-1,976869,531815,-1,-1,-1,-1,-1,-1,786281,-1,-1,722001,752581,902292,-1,307359,305875,-1,-1,193782,-1,-1,598832,-1,-1,69963,-1,-1,-1,-1,514809,-1,863852,904257,15799,-1,926383,-1,-1,930417,-1,-1,-1,924590,-1,-1,756188,-1,232261,992436,473621,139446,-1,282600,142481,-1,678004,548686,-1,-1,574088,-1,-1,-1,-1,-1,372674,38621,604622,498665,280533,968201,-1,-1,-1,-1,-1,-1,948598,-1,313424,-1,-1,-1,-1,930674,328333,-1,-1,737636,471416,-1,675172,-1,576504,-1,721237,486152,-1,289730,919302,870626,691149,609681,-1,-1,-1,48147,-1,-1,116660,-1,642309,-1,-1,-1,-1,-1,-1,886022,-1,-1,-1,878464,961442,623598,-1,861446,811552,-1,-1,-1,802326,884148,320412,853303,572920,-1,991478,368432,14713,-1,839289,-1,992265,-1,-1,-1,138125,215364,-1,-1,222191,504114,439658,549245,-1,422226,-1,-1,-1,442894,618303,-1,-1,475785,-1,668712,-1,25521,906417,178165,-1,-1,116758,984732,-1,500436,62256,543506,823221,-1,-1,-1,464114,489871,-1,-1,-1,-1,-1,-1,555386,868060,-1,28916,-1,848211,-1,-1,-1,103248,716427,239229,974367,-1,-1,-1,501639,76788,-1,-1,307018,460083,478899,-1,288400,-1,607115,822320,404676,264068,-1,526222,-1,628826,636695,396247,83817,-1,-1,-1,475294,-1,105578,-1,76074,-1,408782,-1,-1,-1,270999,205615,152331,-1,96329,-1,684139,360653,-1,202194,916573,954131,587132,658842,-1,-1,88683,477005,337745,713376,-1,-1,462284,347990,49238,750357,655635,732705,-1,-1,634583,-1,77255,-1,943358,-1,903911,987809,38478,452641,540675,-1,-1,985629,-1,-1,477698,164672,143643,-1,890561,-1,-1,-1,-1,400240,-1,696537,254633,204168,-1,584065,598950,124937,-1,-1,122333,484554,742142,-1,-1,561365,717128,803187,55433,464866,830026,-1,449326,791535,296556,806949,842129,345938,-1,-1,42934,-1,791895,-1,534246,957637,910109,-1,-1,985602,-1,738746,532096,793805,695891,-1,-1,997182,-1,17210,569152,-1,-1,-1,54020,788006,-1,-1,-1,250403,-1,35333,933806,-1,-1,968832,112181,526358,-1,60679,320250,687615,338791,-1,-1,-1,-1,841389,579164,78637,-1,-1,871465,4185,-1,-1,831440,-1,659019,-1,-1,-1,83129,-1,141868,716251,-1,-1,949748,958022,-1,-1,-1,-1,-1,-1,939124,493100,787903,575810,795434,447883,137111,-1,309288,745198,403664,42065,-1,980640,-1,-1,916279,-1,-1,-1,-1,949542,-1,860783,822780,479377,115159,850055,-1,25860,610741,-1,835597,712491,307596,-1,215960,16187,-1,-1,78537,936533,-1,601135,567996,-1,145511,-1,-1,229296,877069,-1,442521,-1,165373,-1,271358,945999,-1,344706,-1,-1,734848,-1,-1,277167,19692,216288,-1,4532,-1,682115,-1,884997,-1,-1,-1,-1,200957,470366,-1,465638,219936,762189,-1,-1,856859,508922,-1,-1,-1,-1,844444,-1,-1,-1,989190,380335,-1,-1,-1,49372,-1,840788,863007,-1,-1,-1,-1,761072,930448,-1,-1,-1,-1,711462,320856,-1,984223,-1,432138,-1,-1,628752,-1,-1,-1,636169,-1,-1,526267,-1,-1,641107,-1,-1,-1,894827,620912,181950,62296,-1,338908,42671,177021,-1,-1,-1,-1,256896,-1,994440,-1,297267,-1,55141,17595,-1,-1,356778,870144,-1,-1,943341,818865,365408,-1,-1,-1,65155,86987,306995,335269,-1,-1,-1,-1,-1,886095,254768,541052,-1,221857,577113,-1,-1,831317,-1,-1,-1,-1,861473,-1,55924,463958,809443,-1,394381,262081,-1,-1,248796,-1,-1,442690,160749,-1,-1,-1,-1,-1,910626,-1,173003,-1,-1,299622,242453,951443,-1,-1,276513,-1,-1,-1,658047,-1,540910,527989,530296,-1,674831,-1,618375,190437,-1,-1,81181,636529,-1,-1,293459,-1,104333,845950,-1,623614,-1,268813,-1,914392,-1,66839,-1,-1,430171,-1,886137,-1,-1,989004,281049,-1,310638,579119,549301,306442,91896,-1,-1,-1,-1,-1,444681,-1,475750,354574,-1,977197,951818,972533,-1,470838,-1,-1,740177,-1,561412,-1,41955,-1,686418,502346,-1,-1,430194,189878,-1,441365,-1,-1,-1,375518,279898,820122,-1,-1,-1,853533,-1,-1,465222,-1,-1,745092,943733,-1,150998,-1,-1,-1,520008,132446,936016,-1,460224,-1,-1,-1,140952,130106,-1,-1,882594,-1,18,-1,-1,140451,369875,-1,810550,-1,-1,-1,-1,-1,387090,-1,-1,911776,-1,-1,-1,297784,767355,-1,-1,173913,369674,-1,-1,31138,801068,-1,136326,648810,-1,-1,31578,-1,-1,140444,789290,415152,-1,198357,11977,134309,125281,225033,-1,169080,648076,942786,-1,809044,887986,-1,347591,565092,826473,472373,395773,-1,-1,-1,254589,-1,-1,121989,-1,74113,-1,-1,-1,-1,-1,145386,990379,449443,-1,522352,955077,-1,22827,826034,315947,-1,-1,403478,21349,-1,-1,109329,968337,-1,763163,-1,433643,-1,-1,-1,-1,-1,529565,-1,27772,-1,608417,518560,-1,-1,-1,-1,-1,-1,-1,378018,-1,919433,-1,476154,922561,829883,523847,17588,788915,809418,949989,118174,-1,901892,513399,52899,-1,-1,376306,680396,-1,-1,987412,321961,217455,288727,220852,556805,759619,-1,-1,-1,702462,-1,-1,-1,-1,113260,871466,-1,-1,43644,119870,36061,996437,387037,-1,938765,324574,952872,-1,752439,-1,67156,284112,316004,568457,-1,-1,712894,411774,-1,846523,-1,-1,-1,-1,767981,-1,487554,531121,-1,296266,-1,-1,445093,-1,-1,959810,255258,792702,-1,-1,827197,-1,-1,-1,491117,-1,-1,-1,471996,888711,-1,830722,265526,-1,385035,753239,228674,-1,-1,-1,-1,-1,-1,112551,-1,-1,-1,911005,292154,-1,396766,-1,433548,514224,-1,-1,606438,518585,-1,831536,935843,-1,238534,498028,45052,387050,-1,-1,885661,379542,-1,-1,-1,92005,915260,-1,841300,-1,762165,568078,-1,957682,-1,-1,932570,-1,-1,-1,-1,737295,-1,-1,-1,71367,334042,760494,-1,911547,534637,-1,779283,-1,664883,-1,606413,-1,-1,477736,335506,-1,-1,-1,-1,-1,871374,-1,857809,537812,-1,-1,894136,564396,931786,-1,907974,-1,-1,-1,-1,600082,839974,377526,-1,-1,-1,353062,539452,-1,269478,-1,324148,148094,-1,186869,-1,-1,968857,923652,-1,-1,701660,978334,-1,523473,-1,-1,254647,-1,-1,280198,-1,381469,351562,-1,459698,958088,-1,-1,-1,-1,-1,-1,168531,-1,56237,-1,962974,904277,396628,415230,163185,-1,899041,353187,-1,900092,357642,921956,-1,-1,-1,849847,415173,-1,-1,-1,676976,-1,103133,-1,362877,397596,95274,-1,480538,817521,808688,280651,-1,973935,514488,732579,-1,-1,668647,650875,-1,-1,231421,-1,-1,-1,-1,313361,-1,-1,378475,916383,-1,-1,477279,-1,476816,-1,780950,114184,-1,-1,-1,128786,-1,-1,-1,171899,-1,-1,-1,-1,-1,-1,47333,384972,500482,970634,-1,136618,-1,-1,-1,450857,917296,-1,-1,712981,577753,189847,-1,-1,-1,533183,-1,545647,354240,448700,-1,36436,-1,-1,-1,156044,628523,-1,59420,590754,412678,987298,-1,253569,-1,-1,182760,537455,-1,726607,-1,995470,262009,833064,818917,840821,-1,-1,-1,-1,-1,-1,-1,-1,-1,818008,-1,-1,-1,-1,234853,78717,-1,378263,828257,789137,678713,-1,652730,-1,-1,484380,-1,834344,-1,-1,164915,-1,208844,-1,-1,260185,-1,400343,-1,824411,-1,12097,319265,-1,-1,480487,861221,505562,-1,168918,-1,759085,-1,-1,411623,-1,-1,887551,229698,-1,-1,74071,117012,870676,-1,-1,-1,-1,-1,932412,-1,-1,-1,-1,-1,-1,-1,34806,-1,-1,568011,-1,691551,-1,77664,849414,419926,831303,-1,765756,347289,-1,-1,-1,-1,337849,587332,-1,730668,-1,-1,376902,-1,-1,905494,-1,-1,361511,-1,-1,-1,-1,-1,80359,-1,258100,531452,-1,-1,987563,-1,-1,-1,720741,-1,-1,617934,-1,-1,-1,300936,-1,384985,633342,547711,-1,915597,-1,-1,588484,600685,-1,172476,865512,-1,-1,-1,910070,-1,797669,323080,116454,809687,-1,995310,-1,202182,-1,-1,-1,-1,-1,-1,658315,-1,91709,-1,-1,155951,445812,347202,721570,-1,-1,228966,-1,-1,733869,-1,-1,470849,-1,207824,845913,872939,552947,-1,-1,884710,-1,407293,230938,878441,765075,407069,404528,47111,-1,-1,101918,549730,-1,-1,137676,81106,-1,767674,395266,-1,-1,462347,683348,267215,-1,959642,-1,-1,-1,-1,-1,815953,95721,325643,9763,-1,-1,-1,293204,265803,-1,525224,-1,984284,-1,683808,504274,-1,781627,317263,-1,718584,-1,-1,602484,963007,943008,-1,-1,-1,39868,-1,-1,876896,-1,543657,443532,964047,-1,-1,-1,124869,107803,-1,181747,-1,347288,-1,-1,-1,622300,354830,978877,995523,-1,737342,686658,398438,-1,683363,825600,909695,-1,987740,690813,1050,-1,-1,104693,-1,211340,-1,172822,-1,719253,-1,-1,835002,399588,-1,-1,-1,-1,-1,-1,-1,-1,-1,645981,852863,-1,782258,-1,165870,-1,-1,848191,-1,-1,-1,-1,836042,915936,142946,-1,524937,-1,692470,81033,-1,791769,574426,578253,-1,-1,-1,418508,-1,-1,-1,709000,762208,-1,73602,983725,783962,-1,-1,48402,-1,209725,-1,554903,-1,620696,571620,271619,-1,690461,-1,865670,-1,264873,-1,-1,53897,90808,-1,-1,-1,-1,-1,864890,646486,567657,-1,688389,793935,-1,-1,849644,-1,196652,865824,-1,-1,-1,645180,-1,125767,-1,-1,-1,-1,-1,305116,-1,-1,-1,479829,-1,-1,-1,6161,58702,-1,-1,883718,526669,-1,836849,263343,76406,665256,386550,143709,103239,78187,722542,-1,-1,595372,-1,-1,-1,246418,-1,360366,583631,-1,144394,992334,597910,-1,-1,223405,-1,211881,-1,220726,33701,-1,-1,149142,511621,824620,-1,730492,679119,155823,832109,429204,-1,-1,131047,-1,230713,-1,-1,-1,375880,-1,280502,143463,-1,20971,566949,-1,-1,38004,792215,690764,-1,-1,-1,-1,775630,580749,897658,632815,277105,283116,974627,-1,512779,-1,-1,-1,510570,-1,281667,505217,270981,-1,20368,584882,-1,-1,985908,-1,-1,970117,-1,623484,-1,356642,-1,37660,932663,288610,-1,-1,764331,-1,-1,-1,-1,535033,725739,-1,269284,-1,-1,-1,-1,-1,306407,-1,-1,596552,728506,596120,2261,688819,-1,784318,99099,461029,747305,277220,-1,829111,-1,-1,-1,-1,-1,370115,775971,708783,538375,175862,-1,695336,-1,-1,882359,719845,615046,-1,635960,-1,-1,425475,-1,339285,-1,401635,-1,-1,182211,646737,278450,502339,-1,2563,380330,-1,890062,814836,966422,-1,-1,133945,347335,-1,-1,215975,813949,436734,-1,865875,-1,613388,939903,-1,-1,-1,310428,635356,-1,570991,344748,71159,499443,-1,431532,650845,-1,328325,246585,485779,555195,-1,10655,526678,797807,137584,493327,-1,838741,-1,138799,708311,778486,214037,-1,100462,-1,269597,-1,967504,-1,-1,-1,140380,-1,-1,254359,-1,-1,-1,37350,90641,676591,-1,-1,-1,209195,-1,-1,-1,-1,-1,-1,-1,-1,423066,-1,436222,-1,-1,-1,-1,-1,-1,65073,-1,196144,176868,-1,863413,-1,-1,-1,89460,-1,317122,-1,-1,-1,920831,178756,550338,421366,474782,739154,-1,591076,-1,-1,-1,750083,532904,48821,220415,-1,950439,-1,-1,630717,-1,-1,316488,-1,-1,387111,452513,-1,-1,251585,-1,-1,-1,-1,-1,917950,463232,-1,-1,774710,-1,-1,23159,-1,493342,150020,-1,518765,636594,465563,-1,677524,-1,855454,-1,-1,-1,-1,-1,-1,-1,-1,793920,767079,853284,959119,-1,-1,-1,760516,770702,-1,-1,209286,-1,-1,-1,-1,358655,-1,562637,-1,-1,615809,-1,161151,63178,956726,838850,629396,194937,362263,-1,807468,-1,-1,-1,957177,548127,485698,-1,424109,956870,942495,-1,440341,-1,-1,-1,-1,452786,133998,-1,-1,-1,-1,747052,-1,96458,-1,41226,236869,-1,842350,845537,567310,-1,842277,53944,-1,765363,810121,613736,751273,551493,53369,796746,143310,-1,-1,677600,454549,-1,-1,-1,652271,-1,-1,30866,116090,-1,-1,-1,415786,477972,826996,189166,-1,669642,469168,-1,522871,-1,-1,815588,-1,-1,-1,887788,-1,314698,194087,47171,-1,741849,-1,155994,-1,650799,364886,-1,356327,-1,-1,-1,320780,-1,973470,246793,713138,-1,912221,-1,-1,867917,-1,592795,753711,-1,-1,-1,826265,-1,650183,-1,151907,-1,-1,72402,575733,-1,471455,-1,-1,-1,378333,681054,-1,-1,-1,-1,486854,-1,-1,-1,547663,316070,-1,340296,389298,437972,-1,780530,304942,941617,-1,90135,688844,-1,871098,-1,-1,206821,488920,462448,-1,268796,-1,766996,-1,-1,716852,589558,475274,863748,-1,-1,139034,-1,-1,293017,980468,571396,884363,-1,-1,-1,61623,-1,-1,88787,-1,-1,658819,-1,434423,580367,448021,-1,831088,871523,432087,942394,-1,981738,-1,-1,579706,141802,-1,-1,850864,193787,720556,674453,-1,474316,591143,773482,425877,-1,-1,-1,178990,473452,-1,974764,-1,434115,-1,-1,-1,279827,757901,216862,-1,-1,-1,781138,-1,-1,824281,371042,270148,505835,-1,-1,-1,-1,579034,637788,707653,629017,290891,728941,-1,244751,963917,-1,-1,-1,986560,-1,-1,745581,-1,147604,433658,42675,-1,566207,397967,-1,-1,311601,239672,-1,-1,762026,390439,968120,-1,-1,-1,-1,-1,-1,64405,188583,26056,-1,879720,-1,482004,334661,-1,434765,664044,-1,287907,-1,-1,-1,-1,244925,999532,-1,799343,31070,20525,-1,-1,-1,-1,423044,312577,796099,-1,706017,-1,396329,-1,840718,-1,170204,-1,-1,647797,387370,-1,-1,-1,50137,-1,-1,309383,-1,-1,-1,-1,-1,263096,574081,-1,-1,-1,926480,-1,-1,-1,-1,514634,-1,984744,-1,-1,869700,824515,-1,107052,351195,348047,884960,222330,-1,-1,279804,-1,757051,-1,-1,473092,624674,-1,-1,-1,-1,-1,518058,-1,709819,315617,-1,515736,390376,419818,554540,517127,-1,-1,-1,-1,-1,716455,799628,-1,-1,723650,-1,691077,-1,940902,266753,855051,670864,-1,-1,-1,427441,-1,-1,-1,719424,-1,-1,-1,72127,565127,226306,938168,-1,-1,84210,-1,472374,-1,-1,401854,927743,-1,-1,240758,-1,-1,844361,772994,834907,-1,402372,195136,-1,-1,327142,-1,-1,-1,15642,-1,-1,280768,-1,-1,-1,124218,367700,-1,336884,568043,954419,-1,879795,-1,68315,991992,-1,536578,-1,993506,-1,675865,-1,834342,120908,-1,982097,330174,-1,-1,84872,-1,860719,544577,-1,-1,-1,274484,-1,-1,-1,-1,135203,-1,794097,-1,474862,41683,112035,151578,898406,-1,399226,-1,105304,-1,594077,-1,420001,-1,491560,-1,-1,-1,-1,-1,-1,-1,384819,-1,805948,-1,-1,-1,-1,-1,-1,-1,623757,395319,213637,-1,-1,-1,853700,971618,702365,458092,209011,269574,203750,866968,-1,-1,447854,278988,-1,769849,-1,-1,-1,824274,163862,216982,999601,684636,406161,677427,-1,466163,631993,-1,796570,437387,-1,-1,-1,245187,279800,583074,898668,920816,680106,-1,499809,41829,380354,-1,178572,133072,-1,894826,-1,-1,-1,128212,-1,208562,160530,301393,820182,6380,-1,-1,430260,436036,920289,-1,508818,-1,196367,336086,271084,799808,313305,269587,372916,119310,302896,231793,507253,-1,-1,-1,-1,655298,-1,154457,158369,-1,-1,83828,-1,-1,-1,-1,-1,-1,769982,359875,-1,561411,-1,706287,765050,538500,-1,188794,799328,-1,-1,-1,163098,-1,877722,96409,338822,280540,-1,586810,59558,806612,685632,67785,-1,443595,969321,487416,197689,384979,326382,627745,777834,-1,511882,927383,888164,58285,390973,432119,688717,-1,901325,-1,-1,-1,198420,-1,-1,28215,427186,-1,-1,319507,767750,-1,950195,-1,573521,-1,485261,-1,576878,175665,765060,425094,268093,-1,738554,-1,908019,-1,-1,707204,-1,-1,-1,92169,-1,-1,928040,-1,708231,632425,-1,690513,-1,496952,704177,379940,704937,254704,620990,-1,23581,-1,879385,-1,342981,265879,827280,301593,764061,949179,-1,-1,487871,-1,-1,195619,-1,-1,-1,215501,318357,781218,-1,-1,-1,422601,-1,981709,60101,916204,-1,91349,431795,415296,-1,-1,601677,-1,602372,888588,-1,-1,-1,-1,-1,262448,-1,599894,396203,-1,980883,-1,356110,274013,-1,-1,-1,909239,-1,-1,-1,-1,718585,-1,-1,-1,-1,-1,461341,191963,416520,-1,825896,24036,-1,102409,-1,489785,539880,-1,61309,162104,-1,623522,6878,-1,266440,140177,-1,577447,842278,-1,996119,498155,-1,495315,-1,-1,6186,88157,-1,-1,-1,-1,-1,963476,-1,718530,-1,426133,-1,671567,435569,-1,-1,434103,-1,-1,554425,453254,-1,251910,140500,-1,177313,-1,677561,966686,-1,372499,589358,-1,40065,-1,251828,-1,500023,-1,555489,853726,700994,661262,-1,-1,729184,549025,320351,301997,279959,-1,-1,-1,68125,-1,-1,473064,-1,698260,-1,-1,-1,-1,-1,454265,121706,824105,206595,-1,173247,339415,116374,874930,-1,242970,-1,279531,198891,279693,-1,623196,-1,772764,438259,-1,-1,-1,530762,264317,-1,134109,-1,988757,725788,-1,-1,304224,493377,-1,649855,-1,-1,-1,735457,43749,65551,628102,-1,-1,-1,-1,-1,-1,-1,235660,-1,-1,-1,-1,-1,410283,-1,990354,748125,554618,-1,-1,606343,-1,565600,830650,-1,276585,-1,595439,-1,-1,144382,480083,-1,-1,976431,-1,-1,-1,-1,934746,924323,-1,-1,434294,-1,-1,-1,982360,947926,164960,741985,80256,911229,361580,345258,-1,582595,-1,127167,667281,-1,-1,219809,624088,-1,210373,974687,761718,-1,222989,-1,-1,-1,-1,500548,-1,416366,-1,-1,-1,182311,-1,309151,105401,-1,434375,690062,477688,-1,281147,-1,-1,662110,-1,-1,-1,-1,-1,571587,153106,-1,150863,-1,-1,-1,564146,46733,615916,-1,914994,692528,669290,861417,636424,-1,-1,507708,621168,-1,-1,-1,930271,-1,27120,538350,-1,-1,-1,-1,-1,159699,806686,-1,-1,-1,940509,-1,-1,-1,-1,556694,400100,113079,-1,-1,-1,59790,-1,217457,-1,255450,634681,-1,-1,-1,75478,619178,-1,-1,-1,537183,-1,-1,379665,-1,261216,12459,415316,342468,367175,-1,-1,-1,931146,654377,-1,73383,-1,-1,-1,-1,914728,-1,-1,516239,456118,-1,-1,50835,-1,-1,-1,736032,-1,797035,-1,-1,-1,406742,76080,731766,310524,-1,636546,808753,-1,754123,163608,686711,-1,583838,103111,-1,-1,-1,-1,891684,85849,684420,881230,-1,711604,-1,-1,-1,305992,304633,-1,-1,197446,292359,116186,816822,-1,901312,423240,597220,785946,760033,-1,876166,-1,-1,-1,-1,-1,957978,-1,532831,-1,108450,199752,435266,-1,-1,-1,674325,299147,-1,-1,-1,38332,841996,225113,939867,94752,-1,779583,892250,493688,942193,868011,-1,-1,109607,258662,-1,-1,640381,-1,-1,-1,-1,-1,941036,-1,455731,-1,108119,475124,-1,174917,-1,-1,-1,-1,-1,811528,-1,-1,558366,306293,-1,-1,-1,-1,-1,-1,834758,-1,9665,392189,493744,-1,214074,923570,-1,-1,-1,490494,25896,-1,857563,-1,307804,991839,481197,-1,923420,563816,-1,374597,326679,149613,544260,395313,-1,104352,330964,-1,44752,387504,39029,-1,114028,725945,-1,-1,282512,-1,652832,-1,-1,820038,-1,611138,-1,278646,-1,-1,162336,-1,-1,323568,693714,756371,490867,804214,364554,-1,432112,983239,-1,-1,-1,-1,-1,-1,390058,-1,-1,132598,592832,-1,-1,271789,576358,-1,966929,545329,-1,-1,-1,486306,833222,-1,-1,-1,-1,969176,-1,-1,-1,-1,-1,624307,137914,-1,259484,-1,917203,98718,-1,-1,-1,753474,-1,-1,-1,-1,836236,899199,-1,-1,-1,774965,457350,553319,-1,294929,-1,231087,-1,-1,-1,288591,547481,904752,-1,-1,-1,211537,348556,-1,-1,991416,-1,507221,189117,371624,891534,-1,423040,780030,805937,-1,-1,-1,953796,717261,103581,-1,-1,660465,358116,-1,297375,503877,205745,-1,332844,-1,-1,678244,-1,-1,29279,-1,8638,-1,-1,667807,589459,199721,-1,989415,671153,-1,-1,567920,764407,-1,174546,217573,385034,83319,-1,-1,883630,212930,98728,-1,123304,68535,892487,309425,448536,408070,921027,824828,717205,432150,396655,874034,885852,533730,-1,-1,-1,804870,-1,-1,-1,-1,-1,-1,953409,739635,372181,-1,-1,-1,700167,-1,80110,-1,234241,-1,-1,474780,-1,-1,12824,-1,691334,-1,488437,-1,-1,648460,-1,-1,-1,-1,460162,626736,-1,656325,280653,-1,-1,14341,570828,772234,73619,872631,-1,889150,525560,23346,634048,-1,-1,937572,91768,415365,898766,-1,65525,323234,-1,-1,642557,-1,-1,27829,-1,938889,-1,962907,855160,-1,-1,975776,-1,-1,83090,-1,472647,216641,631844,546227,-1,-1,-1,-1,883915,159255,234136,32713,-1,213184,970534,968597,707922,391960,-1,541000,-1,52259,184716,920520,-1,-1,-1,-1,460333,-1,445559,566218,435513,17100,-1,-1,234860,-1,242402,-1,-1,805343,-1,892275,-1,-1,377652,443756,-1,925962,-1,-1,-1,-1,-1,-1,-1,348614,759027,559021,-1,-1,-1,-1,690393,-1,-1,836502,-1,943245,-1,-1,-1,462962,970978,313666,-1,-1,103648,-1,210324,-1,733348,343259,710162,-1,886713,561407,-1,342451,-1,303712,-1,630731,-1,545862,216299,-1,-1,-1,-1,-1,-1,198157,-1,636807,144064,-1,626825,760835,-1,-1,-1,-1,178830,382042,-1,523476,-1,-1,-1,554683,-1,-1,97196,28551,935846,-1,-1,584540,664366,-1,-1,682896,906311,-1,20034,593797,517736,367132,518854,616567,360167,-1,-1,-1,334852,792882,-1,916562,-1,-1,-1,-1,757179,-1,-1,-1,522248,188201,-1,234528,-1,559237,156520,-1,546867,842864,782713,592796,-1,682688,607543,-1,-1,-1,499627,-1,-1,-1,-1,-1,414862,-1,-1,-1,-1,521659,-1,-1,-1,-1,-1,805197,-1,-1,-1,-1,149862,-1,-1,340771,-1,-1,62248,-1,-1,284496,912150,-1,-1,89062,-1,-1,-1,844022,601145,-1,-1,-1,962375,284664,436469,-1,-1,704701,936549,-1,-1,-1,-1,-1,952304,-1,-1,-1,655694,-1,643598,-1,41142,-1,-1,902311,382893,326409,977408,-1,-1,-1,-1,-1,444778,215649,-1,66259,-1,214178,-1,713324,97867,-1,-1,-1,715429,131587,880338,781759,645352,-1,-1,728805,-1,-1,707358,180647,-1,-1,-1,93016,-1,693035,-1,733543,264530,183688,121223,-1,679917,-1,750648,312079,62965,-1,103172,860187,-1,-1,221706,-1,556541,228262,-1,-1,-1,-1,-1,-1,-1,909834,-1,-1,-1,916862,530480,273569,31059,293042,-1,-1,-1,-1,926950,-1,-1,-1,594546,787860,-1,306386,434528,339801,-1,771994,-1,927489,-1,319464,-1,400639,950441,-1,906898,432831,154587,852325,807220,965931,-1,-1,-1,-1,694842,928780,822405,-1,-1,-1,-1,-1,625951,908178,514511,-1,-1,863288,135946,902660,353967,709361,-1,-1,868138,93175,986569,-1,-1,-1,79392,-1,307925,464190,-1,-1,31026,-1,66124,656979,798623,370226,667675,-1,-1,949614,83052,842866,345148,-1,-1,-1,-1,-1,-1,-1,280111,266675,148578,150904,842763,923927,-1,15308,648010,11345,888396,696279,650024,-1,450196,-1,59493,-1,-1,-1,-1,-1,871312,60510,501012,-1,124925,-1,414554,-1,-1,858411,50443,194355,-1,-1,-1,-1,800822,-1,110788,-1,782442,423332,-1,-1,-1,-1,318657,164566,-1,-1,-1,86065,360389,-1,-1,-1,-1,-1,-1,-1,738692,-1,911250,72996,-1,-1,-1,-1,838340,348905,-1,167133,268988,-1,148551,525182,-1,-1,-1,-1,38232,-1,613622,-1,507265,905079,394385,61973,-1,-1,455073,563848,-1,762906,-1,-1,-1,916931,-1,701160,329757,-1,-1,-1,-1,-1,867774,646934,16751,-1,-1,-1,805331,882282,537149,264279,669219,-1,502344,-1,-1,494091,-1,-1,180291,-1,42473,972998,-1,-1,208610,-1,-1,-1,-1,46612,969649,-1,-1,-1,-1,-1,653318,-1,-1,27366,528103,638857,-1,422260,-1,247100,676257,-1,931824,134906,602608,859269,-1,-1,409541,763449,-1,691401,-1,957440,90924,-1,-1,265374,-1,-1,929454,-1,-1,-1,821060,968198,-1,822804,477665,-1,-1,-1,279682,850909,690881,-1,377995,904818,-1,-1,-1,-1,845867,835946,621349,850280,-1,690387,-1,965764,530602,-1,737111,-1,-1,-1,-1,199731,-1,-1,407133,724711,33814,-1,455138,-1,981346,74648,837192,535788,201131,-1,180008,93552,721693,55107,597579,864198,349021,365123,39117,819133,-1,-1,-1,-1,-1,-1,578881,850040,497933,-1,-1,-1,-1,854872,-1,-1,805917,-1,-1,498763,80866,130257,-1,470048,-1,156259,-1,689674,186286,-1,240784,-1,-1,-1,-1,-1,-1,-1,-1,522546,252576,-1,-1,-1,318375,188072,-1,962416,77271,-1,-1,-1,-1,-1,-1,-1,-1,-1,480813,-1,597924,-1,177100,223188,-1,-1,-1,-1,-1,-1,858124,928249,-1,97681,809063,-1,-1,-1,598937,642062,966298,744454,-1,798847,61036,227604,-1,-1,663346,-1,-1,-1,-1,731273,650199,703322,673198,-1,263762,-1,-1,-1,-1,-1,-1,341806,-1,808562,-1,-1,-1,-1,-1,89641,614818,-1,-1,673618,-1,-1,290515,572691,297896,-1,-1,827064,-1,-1,-1,-1,-1,807862,-1,-1,448325,-1,-1,275552,-1,928524,-1,246238,-1,-1,985858,-1,949222,-1,271034,765810,-1,-1,-1,165667,-1,639714,-1,102787,-1,164545,192789,259234,284699,-1,-1,235068,308661,-1,456939,-1,787668,-1,470646,935030,103776,325686,-1,-1,-1,-1,853397,-1,-1,-1,-1,272054,138663,213659,518659,149750,528287,-1,-1,630804,-1,-1,30347,290058,-1,197371,-1,526706,556008,-1,525956,311126,-1,-1,287221,354914,-1,-1,696045,-1,-1,-1,903692,368886,678310,146597,-1,866439,-1,48062,483750,469867,-1,353979,-1,-1,202196,380915,-1,-1,812131,-1,-1,281727,246672,745090,-1,543605,-1,-1,738076,-1,346681,240087,-1,778220,-1,-1,-1,-1,-1,616838,-1,673697,213739,524073,868008,-1,-1,873812,-1,-1,-1,534090,583492,-1,-1,-1,-1,-1,-1,927126,-1,-1,-1,-1,-1,-1,867050,-1,-1,571229,942584,-1,-1,-1,897804,-1,-1,-1,910956,628462,46165,249503,-1,719993,-1,391039,218521,-1,-1,-1,272512,82145,652300,-1,272072,-1,827130,-1,811698,-1,620470,136569,702661,725151,-1,-1,283827,-1,-1,-1,-1,-1,-1,-1,-1,85942,437257,-1,-1,256007,322501,630282,-1,-1,-1,-1,-1,209037,845609,918332,-1,-1,645090,527520,-1,975239,-1,-1,721719,-1,237978,-1,-1,947460,-1,-1,78819,-1,-1,242723,-1,538898,-1,-1,-1,-1,-1,852979,644744,459145,-1,709860,401868,-1,-1,-1,441774,662538,-1,94695,-1,503017,-1,254938,529874,91062,864627,963459,423334,586217,501003,-1,732657,-1,252905,-1,-1,-1,863812,-1,-1,-1,742460,34751,993451,99306,-1,896132,-1,582318,-1,649758,-1,826471,-1,794786,-1,534263,549163,245217,-1,905809,-1,-1,-1,-1,-1,981761,615642,-1,-1,-1,668542,-1,63906,-1,-1,-1,362793,-1,-1,244844,280139,109496,-1,-1,428788,-1,-1,-1,967854,319865,989838,-1,750311,-1,-1,479668,404171,-1,-1,409193,-1,819631,627966,612513,927077,270098,-1,-1,-1,76360,620534,-1,-1,-1,-1,677514,-1,759515,309359,-1,-1,667603,-1,-1,163291,543659,-1,710252,215345,972923,-1,-1,206273,407916,-1,-1,415463,439295,160087,208927,-1,263388,-1,943809,925988,-1,-1,575712,826040,809958,6904,-1,93993,985345,-1,725797,-1,-1,-1,-1,377696,-1,-1,518554,-1,717983,-1,361382,-1,323422,571553,579311,-1,122073,103035,-1,417640,638166,626535,592932,386146,248665,376502,641324,991901,-1,210065,583829,214250,584195,-1,123785,-1,975070,57988,-1,-1,-1,313972,999799,-1,93341,585432,486157,-1,613873,509548,-1,956724,-1,222593,-1,-1,-1,763903,-1,-1,-1,-1,569789,-1,533292,-1,989370,740984,-1,74181,447524,-1,-1,525710,-1,-1,-1,361198,372926,725919,746031,-1,654927,-1,722301,335653,-1,-1,-1,-1,-1,-1,344553,697995,128891,624351,-1,994721,53045,-1,-1,-1,-1,208726,891864,589677,-1,-1,675313,-1,484355,-1,600733,333685,-1,723643,963332,300931,576707,-1,-1,609313,-1,-1,-1,255899,216040,-1,-1,163230,-1,735419,191661,-1,699721,434335,-1,-1,-1,-1,628846,273813,902675,-1,438551,-1,-1,-1,664342,662422,820438,-1,-1,389702,-1,521883,874281,-1,54540,-1,510304,860018,180743,-1,560700,362582,-1,259052,-1,-1,560212,-1,-1,453420,778089,56475,727182,-1,231974,-1,988621,-1,-1,-1,350123,-1,-1,2408,-1,-1,684577,-1,-1,396016,-1,-1,996386,-1,682444,-1,-1,-1,908910,675443,592092,821404,707273,725143,342094,570074,628876,249444,-1,-1,-1,730783,880747,-1,807226,826127,-1,450439,-1,786835,468259,-1,980096,-1,-1,624510,548731,-1,639816,348317,-1,-1,-1,724118,-1,-1,-1,-1,-1,-1,810958,777412,-1,-1,22654,343335,196706,-1,-1,895353,45336,201190,779068,733553,-1,-1,466574,-1,597421,634013,-1,-1,239067,-1,-1,418189,965148,-1,977976,-1,-1,831588,525362,-1,52539,-1,-1,268999,-1,-1,-1,913030,-1,163800,-1,-1,90128,-1,853028,-1,87243,-1,-1,101061,-1,-1,433478,110144,247834,-1,-1,-1,-1,776990,-1,-1,-1,-1,-1,925869,-1,950917,-1,-1,169464,-1,-1,-1,-1,830469,294184,-1,531338,-1,910601,849102,678030,-1,-1,137648,-1,579463,202292,-1,828317,-1,795140,99419,12618,-1,-1,-1,934082,550373,825739,259413,624433,-1,-1,-1,-1,834588,-1,-1,-1,-1,-1,-1,92077,-1,701129,-1,682786,14553,-1,723297,404141,-1,-1,-1,-1,-1,133571,-1,326301,-1,186707,214885,347461,656078,176785,-1,-1,-1,539854,-1,-1,-1,838434,908118,-1,1432,642813,815784,762416,148753,-1,166477,-1,-1,241638,-1,485414,541771,-1,502634,596569,-1,-1,435834,643886,-1,156297,-1,-1,-1,752680,-1,-1,621576,-1,-1,988651,-1,-1,560986,515389,674433,382362,497268,869344,86584,437323,685821,-1,812487,-1,-1,385483,252528,669039,768848,-1,-1,217585,-1,923146,-1,-1,-1,-1,-1,936486,-1,201403,-1,476009,172913,-1,-1,-1,-1,-1,183083,-1,716391,-1,296049,-1,612036,-1,937919,100347,635928,358551,-1,432510,-1,-1,232950,-1,-1,836585,-1,-1,758692,646335,-1,-1,-1,296582,193485,-1,-1,-1,496531,-1,-1,216730,-1,-1,434359,422646,-1,651197,-1,603392,-1,-1,879363,-1,-1,862873,619619,291360,12852,893241,667398,-1,-1,-1,653102,-1,-1,976353,-1,-1,-1,998389,-1,-1,-1,-1,-1,182877,822638,-1,-1,-1,924966,55146,-1,-1,-1,232021,230537,525855,-1,-1,-1,667310,867962,74363,792044,-1,68127,-1,400605,726225,-1,-1,742298,150913,-1,-1,-1,253942,-1,984677,165710,981589,-1,-1,-1,-1,-1,-1,414486,-1,-1,361630,-1,-1,-1,118585,-1,993296,-1,858912,-1,851631,-1,907193,-1,-1,-1,-1,-1,163260,85022,889952,-1,-1,809483,97229,304400,80859,784576,789808,-1,972142,562261,-1,-1,-1,722683,601822,-1,-1,516873,-1,-1,518527,-1,217425,672845,890512,-1,-1,-1,777034,242276,453212,-1,-1,-1,-1,-1,921619,-1,-1,762255,-1,937970,-1,876786,380771,585390,-1,550420,143503,-1,469769,-1,847701,-1,-1,206912,186708,46461,-1,-1,205768,498985,378770,753065,-1,-1,378520,-1,913556,204651,-1,353753,255968,936965,978776,-1,907212,444948,-1,147949,-1,-1,-1,-1,-1,-1,379153,-1,-1,101816,458197,884410,-1,-1,-1,-1,545949,866972,-1,803815,800980,182254,-1,-1,44578,-1,-1,81498,-1,819645,570934,-1,-1,-1,395921,214712,-1,561759,-1,198644,-1,-1,-1,67538,-1,-1,138241,-1,162197,-1,659925,322921,56036,979928,-1,745377,-1,-1,-1,-1,-1,-1,799471,204886,837011,-1,609642,-1,497372,311804,-1,678718,-1,-1,-1,250546,-1,-1,-1,290698,368966,290657,-1,688442,-1,571601,934083,743358,-1,-1,-1,982379,-1,-1,408785,522661,-1,-1,-1,260016,-1,782462,-1,37443,-1,822984,-1,487340,-1,118565,707036,-1,-1,770253,886086,-1,607742,564919,521526,363783,250981,842172,-1,-1,-1,-1,231062,591432,341393,-1,143817,920533,-1,-1,558019,-1,-1,935986,151903,480877,238911,-1,-1,640710,-1,-1,-1,-1,927284,-1,355903,-1,-1,-1,-1,852370,-1,707351,118801,917872,44452,266949,273743,-1,675682,318004,961597,-1,40846,-1,-1,-1,877429,883140,-1,-1,425542,-1,618926,-1,828825,687001,-1,118994,-1,505282,387087,720075,-1,95481,979120,367921,704986,-1,952022,564621,296736,-1,465712,-1,768400,141745,679872,191911,-1,914779,-1,417445,918068,-1,-1,-1,-1,-1,142277,515183,-1,170245,-1,-1,-1,-1,-1,624065,82309,-1,629952,-1,51066,810798,788567,260288,16901,-1,-1,932655,408386,957159,827668,-1,-1,-1,46475,800426,540705,-1,374119,-1,-1,-1,-1,807545,574936,-1,359452,660589,-1,898662,-1,-1,680289,770953,-1,-1,-1,575975,650010,654375,864948,146946,130441,-1,-1,968230,771412,-1,29112,775538,525175,646064,-1,-1,581517,-1,693365,-1,-1,166892,741866,-1,-1,-1,-1,890654,56612,676324,548256,338640,-1,-1,597431,-1,868260,983151,-1,-1,-1,329382,-1,50009,-1,493081,405940,649278,-1,-1,-1,39893,442558,179361,244793,-1,820306,-1,318060,344033,-1,976214,378976,119128,-1,-1,247635,672291,45294,997129,395218,-1,-1,-1,584458,338977,108437,415492,-1,114275,607380,157266,766216,536854,77957,-1,-1,937534,-1,-1,924431,872775,748354,51558,445590,296217,349481,597976,-1,173560,-1,687733,-1,-1,112739,508505,129623,-1,-1,-1,654579,249406,60082,994362,409769,-1,315866,-1,-1,792248,111818,993047,317868,-1,-1,320158,670762,-1,-1,14303,626765,-1,956492,-1,333192,993808,-1,-1,896617,960932,-1,-1,263066,593684,-1,-1,355835,692104,-1,-1,-1,128319,-1,-1,-1,855428,-1,556807,-1,-1,4181,-1,-1,643990,117866,-1,425380,368930,797346,-1,211918,945844,-1,693074,-1,102866,50944,270449,88493,-1,-1,-1,-1,781638,268200,-1,-1,-1,918438,-1,-1,132315,-1,-1,-1,168754,870421,-1,-1,666356,803121,-1,768925,187572,-1,-1,-1,-1,518097,618427,-1,-1,164951,-1,829640,-1,-1,-1,-1,685308,-1,752313,283533,237398,-1,215578,-1,-1,15100,546254,85865,589722,776993,-1,-1,756771,-1,735596,176,714160,241040,742559,174594,-1,-1,-1,-1,-1,-1,-1,780951,-1,-1,-1,659874,29472,901426,-1,-1,811701,350061,772403,313493,909390,350298,-1,696674,531319,427436,347720,431323,-1,587993,-1,-1,181494,-1,507563,921372,777646,-1,185995,297005,919305,262368,-1,-1,360751,-1,672863,-1,365767,-1,671937,618959,-1,-1,-1,683735,236962,-1,581292,832629,212338,103779,669686,42282,984042,661996,-1,-1,864315,-1,-1,999127,-1,-1,-1,11196,-1,-1,-1,593374,-1,-1,-1,249462,177968,318850,853210,-1,574111,-1,492550,173497,586685,483528,619912,-1,995686,-1,977869,459320,-1,-1,789720,-1,527832,-1,-1,912637,-1,685351,-1,928655,825550,141742,-1,970014,-1,-1,-1,898457,-1,209209,-1,595473,-1,334794,239561,-1,73866,-1,-1,547716,-1,758800,978475,655708,-1,-1,-1,-1,810037,-1,-1,-1,970436,67421,529131,-1,-1,800069,255856,-1,945639,739158,258665,-1,-1,14329,-1,774412,-1,-1,-1,-1,505925,485982,783526,-1,956437,880047,680013,210260,-1,-1,-1,924091,465809,889353,964435,878142,-1,798318,879689,467937,533424,-1,-1,572741,538729,806485,-1,-1,-1,245334,980751,483667,963212,705176,184319,-1,31239,680941,143516,14385,-1,761674,687789,-1,-1,-1,39249,980636,855083,-1,-1,-1,980673,-1,88185,381820,823226,520133,-1,574859,-1,-1,-1,326869,-1,200545,395292,-1,817876,666010,769656,482650,544543,-1,448576,977570,982091,-1,-1,-1,195597,-1,-1,566807,-1,999201,-1,71459,826842,128211,-1,-1,-1,-1,-1,-1,-1,163708,151220,-1,551268,-1,606032,-1,-1,456815,688431,938121,774586,555613,652659,785030,-1,-1,-1,-1,260430,21213,31025,-1,869299,700585,985471,-1,683247,-1,609134,619372,-1,-1,-1,998182,971275,-1,-1,28781,-1,-1,-1,-1,-1,820073,-1,461544,609725,-1,-1,-1,609762,-1,373079,352359,-1,-1,670572,932070,943327,305221,-1,890329,-1,418735,-1,-1,-1,-1,446125,-1,828654,-1,612675,-1,-1,130567,50057,569973,588627,-1,-1,164526,-1,181259,-1,-1,957876,103106,210832,892772,394024,-1,-1,-1,131042,602671,-1,-1,-1,919378,-1,-1,75149,-1,-1,-1,418483,115977,674364,996783,-1,77141,293410,541593,-1,-1,974913,-1,-1,751675,865153,374377,-1,908654,57740,-1,968645,-1,-1,-1,-1,-1,114856,514212,-1,307641,-1,-1,506789,-1,-1,-1,-1,-1,290988,-1,-1,984101,-1,-1,598624,956484,-1,-1,375582,49836,-1,-1,594363,168063,-1,331573,595649,415726,772574,-1,291816,357780,-1,20746,923895,-1,462316,-1,-1,-1,-1,652882,-1,-1,-1,468251,-1,722440,-1,179539,-1,544358,753601,30187,575706,195679,645086,-1,26605,-1,930413,567099,-1,105259,-1,-1,-1,-1,-1,517730,-1,452408,-1,31511,577555,414508,211377,-1,936683,-1,738092,366701,268593,-1,-1,-1,416803,623224,55799,923180,68747,-1,897291,169571,554134,20809,855183,192358,456393,-1,-1,-1,-1,303792,-1,-1,-1,-1,-1,-1,-1,-1,839564,305802,913381,-1,-1,-1,720226,7001,-1,719284,893489,-1,-1,419709,-1,-1,-1,232812,-1,-1,465315,-1,272413,345491,-1,-1,-1,-1,-1,-1,-1,780692,315983,-1,-1,-1,174583,-1,509616,227542,-1,-1,-1,-1,501917,960017,298002,-1,79880,-1,858204,-1,736516,-1,-1,-1,98423,-1,-1,611742,469194,-1,913495,-1,-1,-1,753951,406065,72412,-1,264132,126403,829643,573297,146069,-1,-1,916918,220443,742770,955263,-1,526877,-1,-1,-1,35096,-1,-1,-1,-1,616005,-1,-1,287043,347064,-1,-1,664045,856787,187046,596507,-1,-1,883100,44797,398887,854942,-1,578962,-1,318686,502804,527677,237468,-1,215140,383595,704883,947559,381997,204475,235744,810468,-1,494958,-1,-1,-1,278790,97936,-1,-1,380847,77927,-1,-1,598859,710173,415803,653068,-1,758375,572656,-1,713377,898630,747994,64322,169052,336562,-1,-1,676954,922572,950727,-1,-1,-1,75865,-1,615316,979272,92651,29202,694253,938836,224201,-1,866289,-1,-1,958469,898653,137781,-1,609863,574496,-1,-1,532990,445552,67253,874235,-1,-1,-1,-1,-1,-1,-1,-1,-1,694243,-1,837008,-1,-1,-1,-1,328745,396216,485315,771786,-1,-1,98182,353293,314008,-1,-1,553442,-1,-1,-1,270102,-1,107312,-1,-1,251381,848289,775132,-1,-1,664460,-1,-1,865652,-1,-1,-1,95096,-1,-1,-1,-1,487862,-1,-1,-1,-1,-1,524895,-1,708439,-1,-1,447079,907948,104832,335203,526070,-1,531091,286638,-1,440798,821255,-1,202791,-1,-1,-1,-1,875520,714341,489353,-1,703894,758087,-1,-1,-1,464773,-1,-1,72703,-1,-1,-1,358929,-1,416749,-1,151721,-1,-1,645630,895010,-1,-1,-1,-1,807213,-1,866998,-1,14173,-1,-1,-1,309485,-1,250581,968249,-1,-1,-1,-1,383000,122635,594683,-1,494736,409431,404179,-1,672844,235245,304069,-1,-1,-1,516551,-1,184207,-1,-1,-1,906388,-1,-1,249998,459568,-1,-1,78633,-1,-1,141550,-1,-1,38310,605747,360615,-1,-1,-1,-1,934040,808882,66974,490841,-1,732529,-1,-1,-1,-1,-1,698079,-1,-1,-1,-1,902941,-1,7611,-1,233774,-1,313380,-1,-1,78977,-1,-1,6718,976179,590254,18169,889348,-1,-1,104072,529563,-1,336416,441920,314112,465814,631455,-1,-1,-1,622282,886581,-1,-1,-1,-1,-1,-1,477192,-1,37022,608687,671908,-1,-1,733136,-1,-1,-1,445272,-1,-1,-1,908358,-1,-1,194493,-1,-1,843083,-1,517432,-1,784760,996456,212178,-1,-1,540315,-1,-1,-1,-1,969780,858123,443803,918234,366849,237346,867401,-1,336217,-1,-1,353822,-1,937474,-1,558787,247667,945021,-1,-1,779226,982277,194282,-1,-1,-1,411935,469854,-1,558181,754700,-1,814037,-1,472718,58032,884083,-1,-1,347562,898064,208795,-1,-1,328044,227740,-1,559825,600839,-1,555931,-1,158766,-1,-1,-1,-1,-1,-1,118828,424661,483499,373235,742781,534363,110794,31209,275670,-1,-1,-1,-1,-1,-1,-1,-1,-1,252908,650877,-1,480586,-1,3716,447625,-1,-1,230260,361576,-1,-1,307854,-1,-1,934051,926353,813281,-1,-1,-1,202763,-1,751125,218433,-1,476850,-1,817575,-1,-1,640680,139374,700433,-1,953884,-1,431200,881759,-1,-1,802587,-1,514164,433234,-1,-1,-1,-1,-1,670840,-1,-1,-1,-1,551498,495777,-1,-1,623499,-1,237832,947981,-1,434413,436634,534239,485341,812117,144983,-1,-1,639758,-1,262660,-1,609392,279007,-1,268129,-1,464319,-1,174828,295175,91129,527506,277466,935416,291307,-1,-1,270071,-1,-1,-1,442206,-1,994632,224803,-1,-1,-1,730061,-1,-1,-1,-1,887146,421833,-1,375500,303908,811404,238754,98164,-1,626344,37266,142505,-1,547266,-1,-1,522897,555803,677945,357605,-1,551052,194055,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,134467,-1,490463,46849,-1,845025,-1,908072,157574,452138,983223,954870,-1,-1,660189,-1,-1,-1,728168,-1,-1,146170,-1,-1,-1,-1,917560,447881,260289,-1,814132,699621,391938,-1,-1,610198,-1,493248,796040,342966,-1,421340,999481,525928,544120,-1,-1,-1,291369,-1,-1,-1,242142,923717,536575,908171,-1,-1,-1,-1,430196,-1,779143,218202,130546,42034,522876,-1,-1,-1,750220,-1,-1,-1,498681,-1,-1,386419,-1,-1,-1,123568,14839,-1,687656,-1,-1,576976,-1,706948,638312,573544,-1,921500,-1,-1,734755,-1,-1,-1,-1,384245,258893,110835,320501,-1,-1,725660,-1,357331,-1,394130,922485,226497,897914,280565,-1,644920,896154,513785,313399,883983,-1,-1,228637,692147,720005,803940,-1,-1,-1,815481,560994,-1,-1,551313,216890,-1,795322,147913,-1,-1,-1,-1,863201,-1,-1,218780,273689,212999,808219,640141,457593,-1,193504,686941,-1,-1,-1,906646,370929,-1,866463,-1,445195,-1,-1,-1,128410,-1,860868,-1,944028,-1,676332,831879,860010,781871,884641,-1,-1,-1,-1,330584,-1,402285,225334,699493,553658,83704,-1,-1,-1,-1,209539,363770,459474,-1,915051,477753,-1,-1,-1,-1,564486,-1,-1,232322,-1,-1,-1,-1,-1,-1,893995,766854,-1,-1,-1,-1,-1,-1,829667,761498,-1,-1,-1,-1,40246,-1,-1,-1,781690,357223,5686,435317,133451,-1,-1,-1,-1,-1,186408,510711,-1,823210,474777,-1,-1,43855,489339,-1,-1,-1,-1,-1,-1,-1,450072,-1,276846,185916,-1,677812,556786,-1,323051,596530,-1,412801,-1,375611,630610,-1,-1,497925,-1,-1,-1,-1,-1,345296,-1,-1,-1,132236,538157,808904,-1,-1,-1,913528,-1,156689,-1,-1,-1,-1,418447,-1,-1,-1,328071,-1,414210,331048,952220,-1,918148,690172,551091,694057,-1,-1,23285,540677,-1,469981,5507,-1,-1,652521,194771,-1,985261,-1,-1,-1,804711,228251,-1,323617,-1,849833,-1,172122,-1,51306,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,313025,21098,629590,-1,-1,-1,630443,-1,290756,545437,-1,268192,576450,677118,-1,-1,-1,714326,-1,-1,640794,507282,-1,-1,-1,950086,381643,-1,51239,848182,668060,156195,-1,-1,-1,-1,517548,93968,909515,-1,-1,291442,-1,-1,-1,-1,316349,-1,-1,253392,-1,-1,-1,203962,364351,138375,808439,571792,-1,100368,-1,479351,-1,-1,552012,635775,-1,-1,943660,432300,471085,-1,-1,-1,151281,-1,-1,-1,-1,648015,-1,341793,502875,-1,362336,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,866936,-1,586608,-1,807896,-1,-1,507637,258586,998536,-1,855430,819663,-1,547518,-1,186354,389755,-1,286533,555258,-1,490808,-1,807645,-1,489098,-1,-1,-1,-1,116079,-1,117517,643004,175115,-1,-1,-1,-1,-1,-1,495799,-1,-1,619875,675811,-1,-1,343396,-1,861447,541159,-1,928953,633516,-1,-1,-1,-1,298129,-1,631050,401335,44115,400573,445796,185541,-1,900975,211319,-1,480570,867319,-1,-1,-1,674430,676293,-1,-1,899081,659584,-1,-1,-1,929031,734010,-1,-1,192151,-1,-1,109528,-1,-1,874459,51278,926089,-1,421096,-1,-1,-1,713397,109162,-1,-1,599989,-1,-1,-1,-1,338631,-1,-1,-1,306490,-1,-1,92637,248354,765835,-1,796857,465020,-1,-1,202817,729240,620881,-1,-1,433255,-1,-1,460571,425553,514035,921716,146329,927816,781209,-1,838293,719937,-1,792734,-1,433456,508675,581963,223175,-1,649440,-1,-1,98527,-1,107575,-1,-1,-1,-1,-1,-1,-1,410073,-1,-1,-1,-1,-1,-1,-1,173650,-1,-1,981174,325590,-1,-1,609127,797263,83106,843989,-1,688727,126265,-1,-1,41428,535995,-1,-1,594366,-1,18112,-1,326326,-1,-1,360497,-1,-1,615072,-1,-1,-1,-1,-1,-1,37980,-1,164711,696280,-1,785877,645168,868910,702686,251502,-1,63135,914629,-1,802623,-1,-1,481631,908074,-1,456705,621217,32634,-1,448167,670124,-1,-1,61472,-1,254297,878771,61474,602292,766772,-1,-1,-1,-1,452720,-1,192026,-1,-1,-1,-1,-1,-1,282429,-1,-1,64449,789758,-1,546815,-1,-1,80071,862432,-1,938353,-1,241048,77753,554101,580292,-1,125398,253889,-1,681483,299548,-1,-1,-1,374493,-1,332995,-1,-1,634446,-1,-1,807827,590451,-1,631487,542558,-1,-1,962334,-1,345205,12078,352159,-1,-1,62596,-1,347751,-1,733603,-1,-1,-1,714234,-1,55256,466661,-1,110828,-1,644146,-1,532449,-1,-1,695008,356934,-1,-1,953118,-1,391537,555671,-1,2109,105837,-1,307383,494412,-1,-1,481452,122810,81247,-1,-1,-1,-1,-1,855690,936041,649417,405262,-1,976259,359660,-1,58295,-1,528151,-1,36519,-1,268020,92797,591024,-1,-1,522098,-1,-1,-1,153070,337632,940936,-1,-1,-1,-1,-1,-1,855585,201469,737953,138770,-1,154956,315027,288871,811770,-1,168595,836095,-1,-1,250763,588334,3703,928339,545759,-1,-1,881241,810373,-1,320736,-1,458955,-1,6752,-1,748362,445359,-1,-1,-1,298184,-1,267446,432838,697230,-1,267221,512269,-1,57484,-1,968187,270342,-1,-1,75274,-1,-1,975878,132513,945180,609573,835595,-1,-1,816178,557571,957758,-1,53893,-1,447407,-1,-1,-1,770378,-1,-1,-1,-1,67482,-1,-1,-1,-1,485436,973006,-1,-1,635353,-1,-1,-1,-1,892269,-1,-1,-1,182325,-1,-1,275221,775576,487174,302705,367229,-1,165409,600584,-1,-1,377934,-1,-1,-1,272762,-1,156401,-1,-1,-1,781613,-1,-1,-1,932124,-1,-1,-1,-1,244295,-1,-1,-1,948376,898162,-1,-1,-1,-1,-1,422929,32072,-1,119812,-1,887907,828719,808951,-1,-1,252478,-1,445508,-1,315978,401166,-1,-1,881530,-1,449856,-1,-1,289113,-1,-1,-1,-1,452125,594009,16878,584076,388393,-1,329459,-1,90467,226545,-1,-1,23584,316368,-1,-1,629062,18627,-1,-1,-1,-1,728265,-1,-1,-1,351198,805311,651464,414644,880130,738423,938295,-1,-1,929853,612528,969778,805491,-1,-1,851795,-1,984844,-1,271020,849424,-1,25738,-1,327521,-1,-1,500446,-1,990162,637457,817663,441928,755527,-1,66731,930485,624331,-1,-1,-1,-1,-1,204767,-1,-1,669850,-1,-1,-1,-1,626162,-1,-1,629178,223935,449895,-1,-1,380291,785781,93072,-1,-1,-1,224794,-1,248912,983048,-1,-1,-1,53775,-1,-1,321784,719840,271104,321234,-1,-1,-1,-1,-1,-1,-1,9092,-1,192454,-1,224852,-1,328913,-1,917228,-1,-1,616818,-1,-1,465750,-1,-1,739217,-1,-1,720333,-1,468650,-1,-1,-1,908590,848851,542464,-1,-1,194342,-1,589038,-1,-1,386825,-1,-1,657666,197171,692777,135852,-1,-1,73988,281924,-1,-1,-1,-1,-1,674020,-1,-1,971267,-1,829226,-1,94461,-1,832536,980273,392438,678650,-1,-1,-1,100540,882622,-1,-1,629968,-1,309551,-1,-1,726872,-1,-1,214656,-1,-1,361515,859667,-1,-1,978431,-1,829225,894139,-1,563510,-1,-1,848593,-1,-1,425605,47314,405119,479602,-1,-1,839871,73943,-1,985040,949538,-1,-1,-1,478876,238175,-1,-1,55825,-1,-1,960326,906993,-1,517406,438494,159642,556461,-1,-1,-1,-1,-1,-1,150864,647375,181544,-1,928354,54988,-1,-1,-1,-1,488237,-1,581062,991620,-1,-1,423724,538446,-1,161041,895127,-1,151274,524067,-1,581452,761958,-1,807802,21406,439275,74,336550,813549,-1,-1,517975,339533,-1,953046,636581,-1,373742,-1,-1,-1,749380,-1,-1,-1,670869,697744,-1,750909,-1,767134,240962,-1,-1,544436,373092,708361,81111,-1,-1,488871,-1,-1,-1,259168,-1,-1,664639,958961,311212,753636,-1,817719,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,446486,865166,600934,-1,943648,-1,222764,-1,-1,413326,907099,322214,260454,-1,-1,-1,574509,975487,-1,364115,762530,146163,-1,-1,-1,842262,-1,357649,-1,-1,-1,-1,271129,-1,303376,-1,-1,-1,-1,-1,892036,734065,-1,-1,-1,-1,-1,506900,1960,-1,-1,706150,-1,-1,107913,931969,-1,-1,344169,764336,358741,-1,-1,719921,-1,619867,987822,-1,273713,63894,326943,90105,349515,474670,76502,72432,860167,843741,896646,656439,-1,150521,78194,-1,-1,17,591451,183179,-1,-1,576150,871737,431247,422559,-1,-1,-1,-1,293903,501754,-1,-1,632777,-1,-1,893476,-1,984671,-1,393353,592349,341120,-1,-1,-1,168714,-1,-1,-1,-1,-1,344192,120896,847615,-1,-1,-1,871990,73671,42614,-1,147803,406951,-1,444655,197409,796733,-1,-1,-1,513398,-1,795648,-1,353990,357887,-1,651716,358613,-1,148711,-1,832694,-1,-1,619533,44722,-1,389726,775177,-1,-1,-1,-1,-1,-1,121576,-1,590065,469148,-1,-1,763201,42501,-1,-1,999077,-1,-1,33010,233950,-1,-1,-1,555641,235352,43967,910209,940225,882007,477139,393553,281972,-1,-1,773101,294506,788664,873544,827301,-1,422619,-1,-1,373667,-1,-1,577128,-1,-1,-1,-1,990918,-1,-1,-1,987391,-1,799563,-1,808410,-1,-1,-1,30061,-1,-1,-1,466466,276400,-1,-1,852685,784880,620898,836861,-1,-1,241585,-1,-1,52166,242696,-1,429056,-1,847965,937067,-1,-1,996851,-1,-1,310889,616961,-1,643385,-1,852553,23902,593922,180572,314877,264472,163015,89818,996643,-1,266122,23538,-1,-1,-1,-1,-1,924627,-1,-1,305184,504109,-1,-1,-1,612753,508143,811820,245774,214109,496029,-1,-1,-1,170610,792784,-1,-1,-1,264215,590139,991023,-1,-1,408319,659283,556529,-1,21982,857060,729233,-1,606392,172173,-1,282611,-1,190549,761428,-1,226221,107835,727701,798762,-1,-1,-1,772765,-1,-1,-1,518381,-1,868382,-1,-1,-1,-1,-1,963791,906472,355508,-1,446602,886908,-1,278687,-1,885408,427910,643489,603621,-1,155014,369366,888296,737434,547468,886728,-1,902380,590741,-1,908925,-1,-1,704631,-1,722755,-1,-1,11946,224158,-1,-1,-1,-1,-1,310691,-1,1395,103522,462082,-1,824023,126888,-1,538319,408033,320463,639868,-1,757515,296676,-1,-1,569602,711962,236173,257479,937376,521751,905206,-1,-1,319031,202868,848599,821855,-1,530861,-1,-1,811895,173945,863268,859436,-1,719791,-1,-1,-1,952843,-1,-1,-1,-1,-1,655769,-1,947636,-1,389315,-1,362828,201851,878957,260909,613803,-1,937113,335049,-1,306953,892812,365629,-1,-1,141400,-1,-1,358378,-1,-1,29991,64469,952512,375967,174677,-1,238691,-1,-1,551118,649430,629849,214183,747453,-1,235176,-1,906678,-1,-1,-1,123464,310192,-1,209619,970181,-1,620665,-1,-1,456847,-1,-1,895398,-1,-1,414963,-1,255127,850992,-1,-1,-1,-1,432524,77842,-1,825288,255243,-1,572475,515912,184907,546524,-1,-1,888453,-1,-1,-1,-1,45451,-1,130235,-1,177932,896109,-1,578302,597288,-1,-1,-1,880110,-1,971181,374951,572083,-1,-1,-1,187158,590936,-1,-1,-1,-1,-1,-1,-1,237805,-1,566667,-1,-1,-1,742310,623814,-1,-1,402154,423893,-1,978477,159013,418299,552716,126631,-1,-1,-1,-1,-1,-1,419649,443628,-1,-1,223489,811395,491454,580870,67992,835342,-1,-1,622769,490565,-1,163179,-1,259242,813193,9008,665219,622829,416882,-1,-1,-1,-1,824580,-1,-1,706242,-1,463400,690008,226888,-1,537582,131616,-1,-1,790008,-1,-1,66279,497396,123135,-1,-1,-1,-1,552963,807111,201360,121278,-1,-1,769243,299626,168446,211308,72498,57193,363040,930780,-1,-1,-1,-1,-1,400051,977360,363339,296908,-1,170733,-1,-1,465765,515643,-1,998114,-1,-1,-1,-1,-1,388633,861322,525804,357112,667722,324853,-1,273638,463316,-1,507319,-1,-1,-1,518137,-1,-1,453621,687369,714848,773434,-1,-1,65641,-1,778818,-1,-1,-1,-1,204059,-1,773240,973047,795178,96716,276385,878108,247246,24951,-1,366070,-1,-1,105736,285731,-1,129785,-1,718940,-1,-1,-1,-1,-1,685876,631276,495757,-1,-1,998417,-1,100236,-1,271812,44034,980633,684516,519510,696495,-1,119703,-1,-1,-1,-1,213508,490479,-1,559841,304800,-1,-1,575256,-1,-1,-1,-1,-1,194489,570771,-1,12658,135865,774996,278612,913691,423466,-1,-1,-1,-1,-1,820071,222224,-1,38209,-1,-1,785772,-1,740952,-1,918401,402779,79622,-1,311111,-1,-1,187737,-1,-1,-1,-1,584724,-1,459413,430664,326959,-1,913176,100209,-1,18316,-1,-1,-1,-1,-1,989052,713252,788601,-1,424941,830456,347805,601575,847474,-1,279660,-1,385413,-1,508356,442058,-1,732667,787129,-1,995102,-1,-1,-1,961907,-1,-1,8784,652194,-1,-1,883646,865582,-1,-1,704951,44116,68582,208436,-1,-1,736824,886971,-1,663090,12102,-1,815832,680448,4298,-1,-1,628645,-1,-1,822762,-1,852607,-1,688980,981503,-1,-1,538290,861403,31007,808395,-1,-1,224377,713540,-1,-1,596986,987907,-1,-1,994092,-1,841257,-1,283331,-1,-1,174648,-1,387847,731689,289972,-1,606571,-1,-1,-1,895547,-1,-1,-1,-1,93047,294197,-1,213275,-1,693104,333236,709063,414136,213021,922583,501589,-1,486784,591123,646976,-1,-1,498926,-1,-1,-1,-1,-1,-1,-1,-1,457107,-1,50171,-1,848980,799725,574353,-1,-1,713663,894428,95366,-1,476219,976193,446159,-1,899923,-1,926161,-1,380519,-1,-1,-1,350951,197248,490540,-1,505612,179672,-1,388459,-1,-1,215682,149525,-1,195908,-1,876157,656290,-1,685457,432565,-1,16985,-1,-1,280117,-1,244720,-1,596955,181070,-1,32036,-1,-1,635832,-1,308883,89067,-1,287466,761976,-1,212777,909646,-1,103245,290173,921170,-1,120911,528489,123824,-1,-1,-1,-1,-1,-1,-1,-1,-1,234377,487703,-1,837400,228853,-1,-1,483863,-1,-1,-1,-1,-1,-1,836163,-1,464517,-1,791265,-1,450810,-1,770464,293343,813609,-1,-1,35434,-1,-1,992094,-1,-1,593924,349382,994310,-1,-1,525404,-1,139924,-1,24628,-1,-1,-1,429289,8062,-1,251416,530422,-1,597865,-1,-1,-1,319218,780136,-1,177845,923642,207888,343824,401768,-1,-1,-1,-1,-1,-1,-1,-1,720390,-1,-1,-1,-1,382745,298663,741369,310830,-1,645207,-1,101177,209474,-1,934100,1119,-1,-1,916909,804554,-1,609735,539886,744975,156664,489976,895212,-1,503348,-1,212974,-1,-1,-1,858969,356918,-1,99597,-1,-1,-1,849245,481929,150137,617073,590676,-1,940345,-1,14302,68729,-1,-1,359336,-1,51308,398859,599983,535801,-1,472224,322410,-1,231039,-1,335691,380215,-1,-1,-1,678213,90663,-1,689763,190359,-1,-1,-1,-1,723900,-1,-1,246476,-1,954833,-1,765168,-1,-1,458927,-1,-1,-1,997555,548473,592069,177391,855133,-1,425693,-1,540786,-1,-1,-1,-1,350221,-1,788861,-1,309032,415596,-1,-1,-1,901845,864034,-1,-1,-1,-1,391241,-1,-1,-1,-1,-1,851647,-1,516333,977644,364730,-1,625590,206914,-1,831078,575987,690150,340791,9436,-1,442704,-1,-1,-1,-1,833898,461770,-1,847741,575036,-1,750241,569396,135984,30780,69068,356627,263795,-1,683861,-1,-1,16303,-1,-1,638276,-1,484539,671578,-1,604724,-1,-1,-1,-1,512166,165874,-1,981637,-1,430991,21467,962756,-1,103703,-1,312196,-1,354562,-1,320403,-1,-1,-1,913698,964864,411672,772399,-1,-1,-1,520357,-1,492004,261051,-1,16830,971174,472380,551881,148221,-1,-1,491179,754402,187054,781490,232353,615646,125979,-1,746580,-1,-1,-1,-1,376134,-1,602808,-1,-1,-1,-1,-1,541542,-1,478260,-1,822979,288177,427927,91990,957826,-1,-1,-1,356973,-1,149178,462194,531287,542192,-1,286948,-1,390718,-1,238880,-1,-1,787255,459909,402892,-1,612117,-1,-1,326633,575653,-1,-1,567027,537579,985515,-1,-1,239181,333318,987050,-1,-1,-1,684459,531022,695199,-1,-1,257521,89801,-1,-1,-1,-1,399279,-1,-1,17124,739736,872761,-1,-1,150853,74025,103566,170349,380934,329598,951599,283994,14475,-1,-1,709901,151897,213341,-1,-1,682633,-1,-1,-1,444897,-1,-1,-1,684585,-1,-1,-1,427085,192119,-1,849094,-1,-1,-1,-1,741688,462632,-1,-1,771962,644961,-1,-1,785733,101277,-1,-1,464085,13448,-1,-1,-1,-1,-1,963135,523653,871588,-1,851171,-1,-1,-1,-1,-1,-1,546638,171424,-1,-1,-1,571879,-1,226869,33016,955262,298334,92009,934535,-1,-1,-1,47632,-1,620578,168176,649152,-1,-1,663448,-1,-1,-1,-1,635183,-1,-1,-1,-1,-1,-1,591217,-1,457452,603231,493319,-1,162940,655114,976394,-1,-1,80828,878211,-1,-1,-1,-1,735101,122966,259474,887789,-1,-1,-1,-1,331285,-1,87755,277137,-1,681029,237116,-1,914024,590935,379772,-1,759384,-1,-1,439531,337218,660123,643736,27210,-1,19262,939437,886176,897518,-1,-1,222157,775664,-1,-1,-1,-1,-1,-1,371565,-1,-1,-1,307954,775039,671822,-1,-1,-1,596841,-1,44168,281781,932643,-1,663007,-1,-1,851406,-1,-1,-1,380396,-1,-1,-1,374929,383826,-1,834750,323178,-1,517830,-1,865929,242103,-1,478093,54204,-1,640288,-1,104108,-1,-1,-1,-1,-1,393059,452259,-1,-1,-1,685423,-1,-1,190770,-1,-1,-1,715858,-1,258454,-1,760317,-1,-1,384468,982226,-1,281264,967251,740327,977843,771288,985474,751922,337194,601899,636359,-1,-1,-1,-1,-1,-1,-1,-1,419423,274305,921819,127999,144178,941641,473372,997655,-1,-1,150425,504880,-1,420685,-1,255601,-1,-1,-1,-1,522681,171061,549907,536396,410869,-1,382166,-1,517584,580567,143734,215899,204551,-1,-1,-1,-1,45540,805243,663653,230730,-1,-1,873730,-1,636168,165327,-1,-1,231812,-1,92693,-1,673011,-1,503747,-1,672080,-1,351969,-1,-1,-1,11516,-1,-1,-1,86766,668539,892350,410343,-1,-1,593370,899518,733532,-1,-1,920074,786824,-1,-1,721551,961877,143707,-1,189119,771002,-1,-1,629466,464048,-1,-1,151506,-1,-1,-1,971552,500134,-1,-1,-1,237083,-1,291517,128569,845978,-1,501351,429612,-1,-1,280767,903728,491451,476251,-1,-1,723995,-1,36164,479586,-1,-1,433253,-1,197874,-1,821069,218949,721914,392431,-1,2597,-1,749913,778018,965876,-1,-1,-1,979006,69005,908549,-1,40288,-1,695712,979778,-1,896047,-1,186438,882569,657720,-1,256864,-1,-1,609171,502573,638830,53951,170828,-1,227456,535578,98238,-1,-1,130045,941658,835911,-1,539198,-1,70934,547084,412643,-1,-1,-1,721000,453298,824994,879594,-1,106073,663739,-1,-1,836182,350451,248613,-1,-1,-1,61388,40791,-1,-1,41728,-1,-1,843077,-1,962508,-1,950438,686012,697928,898149,-1,-1,-1,920806,113479,364196,354239,664293,-1,660961,-1,393696,-1,910860,-1,868468,499006,-1,162565,26905,278518,-1,-1,468285,-1,-1,968810,-1,3740,-1,-1,270371,-1,557764,-1,643831,868980,909151,-1,977702,-1,94694,551873,-1,-1,-1,-1,371996,73291,-1,862178,-1,-1,-1,-1,-1,757538,254358,-1,357294,562191,-1,742900,491185,-1,408287,-1,848984,-1,636950,-1,-1,-1,279513,-1,-1,588249,135082,701546,275046,-1,-1,-1,-1,-1,-1,-1,975637,-1,429304,-1,-1,513906,-1,77077,-1,-1,-1,-1,803016,-1,-1,899461,534710,954133,-1,517815,-1,982513,724306,63982,-1,-1,-1,628728,-1,-1,-1,452216,-1,531349,138697,-1,653012,-1,-1,-1,563138,-1,-1,-1,-1,-1,-1,-1,-1,-1,524939,-1,-1,308794,-1,150119,687388,418059,555355,339876,-1,239506,-1,-1,-1,-1,23783,-1,-1,181073,620302,-1,833929,318164,-1,834986,-1,-1,588187,-1,410932,-1,-1,103155,821191,-1,800529,832492,-1,506376,-1,-1,-1,220903,-1,-1,-1,119918,-1,-1,589695,461752,-1,949581,760780,611002,850622,-1,-1,-1,512378,145464,880693,560262,276105,586615,-1,357385,-1,775727,-1,876067,412726,-1,-1,-1,551614,-1,-1,200406,319836,-1,894352,-1,-1,-1,472488,-1,-1,900543,-1,-1,863289,542590,991239,201794,274970,-1,-1,-1,-1,132887,889649,527501,-1,218317,-1,-1,-1,528222,-1,122063,-1,784867,-1,-1,20339,-1,348389,351707,-1,515084,-1,510754,-1,-1,51017,152324,237420,855058,811439,914108,731579,-1,-1,189153,-1,-1,-1,-1,119582,-1,-1,644843,115400,-1,708692,746415,-1,-1,165007,611561,-1,-1,-1,-1,201532,235892,825331,-1,537848,-1,546604,-1,-1,-1,340841,694366,94840,-1,-1,83784,-1,-1,958313,640919,-1,-1,969624,555057,537021,-1,-1,553168,-1,-1,-1,960649,-1,297230,-1,1263,-1,329069,279024,-1,116368,275175,845225,834355,-1,-1,933553,607581,-1,644821,397950,958535,-1,420968,-1,-1,599276,490106,529364,-1,34590,-1,757555,-1,800170,215431,476198,-1,-1,-1,-1,-1,592027,269218,-1,-1,-1,-1,536399,-1,-1,310235,-1,276022,-1,606292,993188,143506,644280,-1,657708,299077,339751,716116,-1,135582,699462,107001,-1,-1,-1,-1,-1,274237,-1,466260,69844,-1,851752,292980,904522,-1,823648,-1,862839,149227,-1,341573,-1,991710,-1,605394,-1,-1,640771,-1,279378,596764,425903,14550,-1,702800,191134,-1,699916,-1,-1,237829,-1,677449,319009,-1,935031,-1,773979,-1,-1,-1,775056,-1,-1,-1,384733,689361,626586,566936,488639,-1,298135,716622,54184,-1,-1,393249,95691,343034,367223,-1,132537,647050,-1,-1,-1,-1,-1,-1,588594,637468,348727,-1,819472,169529,460420,437331,-1,577357,339982,-1,118744,509092,-1,216694,517508,-1,71684,662772,-1,876819,-1,184959,144982,-1,-1,-1,-1,-1,-1,599199,734956,280999,274465,614289,913941,-1,528510,-1,-1,-1,-1,57413,623970,559217,-1,352745,-1,-1,566431,-1,222860,-1,-1,-1,-1,30332,-1,-1,402168,-1,52071,293383,95242,325794,-1,721074,57253,-1,-1,-1,701214,-1,974077,-1,208535,-1,-1,-1,385680,603907,-1,-1,-1,-1,18585,353831,724462,-1,869972,238456,-1,-1,617198,-1,267019,-1,223904,-1,-1,715785,789789,-1,553987,464926,-1,-1,376664,-1,-1,-1,-1,-1,66387,-1,358169,186709,-1,371294,-1,855701,-1,-1,912253,931914,300430,495848,-1,561697,-1,-1,382922,328940,872410,692929,-1,614741,791326,915976,-1,880686,899798,-1,-1,-1,-1,-1,-1,366673,-1,-1,922491,-1,677588,-1,419382,-1,729583,-1,795397,339389,-1,880606,296465,954519,487538,463699,-1,-1,937065,352918,-1,-1,818444,809220,548976,-1,401913,-1,553993,-1,-1,649247,153824,442905,-1,-1,485370,669595,-1,82602,973853,-1,956171,-1,-1,-1,94456,95196,998719,509995,-1,88158,-1,609856,247261,-1,-1,568176,667138,816581,641126,-1,837266,-1,-1,-1,-1,-1,569341,-1,932405,-1,-1,12363,938081,263283,-1,487459,-1,-1,-1,-1,-1,62139,269760,246884,-1,-1,512506,-1,-1,248804,-1,-1,-1,390809,759291,-1,839304,718364,109101,-1,-1,-1,-1,435192,479144,-1,-1,-1,-1,-1,-1,356981,586041,301373,33193,-1,-1,-1,-1,-1,875524,843787,428927,760017,131247,802104,480339,-1,-1,-1,367060,-1,-1,-1,-1,-1,117721,149610,-1,238142,548909,-1,89076,-1,229414,183713,743124,-1,-1,958256,-1,851131,-1,723663,996187,357277,35748,-1,636832,104019,-1,-1,-1,573036,-1,304512,720487,-1,-1,121141,550114,-1,-1,475609,-1,-1,-1,-1,-1,796865,-1,-1,873931,358217,295261,929538,273263,-1,-1,814679,682517,-1,639217,301479,696431,372637,-1,-1,969970,-1,511922,-1,-1,805754,-1,210501,922284,-1,400333,-1,570590,-1,-1,-1,-1,-1,533018,951038,-1,-1,280861,402896,705728,941791,-1,-1,490624,612129,-1,574001,474602,287177,-1,940357,602418,18813,503302,-1,841077,20256,-1,767483,-1,-1,942871,201149,-1,280148,891594,199164,-1,-1,227124,498193,188232,665106,439454,-1,-1,478076,-1,-1,-1,413437,-1,715231,-1,247226,866036,606012,219652,594626,74743,335833,-1,-1,-1,-1,-1,721276,-1,-1,-1,634011,185703,804660,-1,-1,-1,677440,-1,-1,-1,-1,-1,145525,-1,-1,-1,706689,-1,103836,524104,111539,-1,-1,-1,-1,-1,-1,114400,336436,226422,835892,-1,-1,582144,877452,46267,-1,-1,-1,55629,626756,368266,158407,53102,-1,946529,882674,-1,922570,281380,13011,-1,-1,992345,-1,385764,-1,-1,-1,-1,-1,-1,-1,694092,272611,-1,-1,-1,228790,-1,28117,-1,-1,213696,224035,-1,493592,-1,395058,-1,-1,-1,-1,474151,801056,-1,163477,641572,-1,643833,-1,-1,-1,803743,-1,645181,667489,647902,248471,687460,-1,257082,242569,871835,691896,-1,-1,-1,-1,-1,-1,775640,-1,854595,-1,-1,-1,-1,483186,417378,477076,286769,-1,-1,-1,-1,-1,615818,-1,-1,61686,-1,896120,-1,-1,-1,-1,-1,-1,652381,-1,252282,-1,-1,733498,-1,-1,790295,841039,-1,275346,-1,627067,-1,217575,102470,-1,-1,163269,248444,96088,-1,-1,564476,608039,-1,-1,-1,470126,531909,-1,460291,-1,427309,906675,798346,-1,-1,-1,-1,-1,741352,718756,-1,404079,763608,945588,531202,958780,-1,536937,-1,-1,-1,376360,-1,250301,283624,-1,364725,-1,-1,265829,813874,-1,-1,672920,482619,30654,96275,-1,275857,-1,186917,344764,203868,-1,574528,-1,493184,278194,742954,613564,973512,-1,371014,-1,929155,442554,302393,760959,440838,667605,-1,-1,529100,624847,-1,-1,-1,-1,-1,-1,-1,-1,495113,44219,646867,39336,540843,-1,-1,877455,-1,588584,-1,-1,-1,912323,-1,-1,-1,-1,963238,520999,-1,-1,647184,570238,542174,-1,-1,-1,-1,875856,-1,464995,-1,514766,-1,369108,-1,-1,198578,-1,153640,-1,969293,-1,-1,-1,-1,543467,500791,-1,-1,728009,252217,-1,-1,64619,753154,-1,-1,-1,376604,962663,201575,444566,167665,-1,-1,-1,525651,866672,-1,435430,81855,-1,-1,555446,972735,-1,210071,539315,-1,471078,585570,440038,27253,966947,911338,-1,447793,-1,-1,224406,-1,-1,794717,90465,13209,489907,-1,141233,730803,-1,-1,-1,-1,16736,291268,-1,41562,-1,-1,1682,605815,598056,-1,146050,604454,339556,-1,757460,242005,-1,-1,981542,-1,-1,751524,-1,489789,664742,-1,201306,-1,-1,624935,782770,-1,395837,376655,-1,-1,720168,-1,69734,441202,527833,227252,436492,-1,-1,258080,-1,12753,-1,309070,-1,-1,141897,286213,-1,-1,305209,996907,944820,845022,788811,283635,-1,-1,588648,443991,439310,154720,444288,-1,384840,713617,66241,865511,-1,-1,178047,-1,-1,-1,801063,-1,-1,-1,976762,-1,670611,245543,-1,-1,-1,26100,-1,557141,809193,977357,-1,4732,-1,957665,-1,821567,350413,613629,719970,833935,631543,473335,-1,330836,-1,235677,410911,-1,-1,-1,-1,-1,51635,-1,-1,-1,-1,422472,-1,-1,454358,819907,589960,-1,-1,-1,-1,-1,488724,-1,158328,110178,166762,-1,-1,966586,988151,210980,-1,614583,-1,-1,-1,589681,-1,39682,797342,-1,912703,75655,441804,-1,715086,-1,217634,923813,-1,774697,313282,377370,-1,-1,-1,524515,-1,970920,-1,438303,-1,-1,756774,-1,-1,720527,288290,-1,-1,228809,686156,568434,325173,-1,552566,-1,630047,-1,-1,-1,458118,-1,845347,75760,-1,729665,-1,585016,-1,890977,-1,559546,222306,470690,-1,527086,975603,-1,379790,275751,-1,-1,924738,-1,-1,-1,359681,642517,-1,-1,420222,633683,-1,237342,380551,481649,566975,616916,269481,-1,-1,-1,917706,944798,876822,460999,-1,469477,-1,-1,862123,-1,816576,527028,-1,-1,929253,-1,44148,-1,619199,-1,491429,366450,441999,88670,-1,685207,225174,-1,-1,-1,527182,-1,-1,-1,557955,-1,-1,-1,196981,-1,948405,703600,-1,-1,148507,959300,-1,-1,-1,-1,-1,-1,-1,337731,-1,-1,-1,-1,-1,-1,653536,245603,-1,-1,-1,-1,-1,770560,-1,729778,8502,510124,773389,-1,898205,594071,821132,-1,-1,-1,-1,-1,-1,735019,712875,288139,-1,460109,-1,-1,313515,205222,579602,533308,589462,265462,206691,156348,-1,12758,932257,-1,521750,101405,140044,264552,-1,368755,905441,-1,270651,931649,133053,-1,155920,-1,-1,-1,708238,-1,-1,-1,-1,-1,-1,-1,-1,943547,399770,975392,782589,989024,-1,216218,16847,854440,-1,-1,-1,-1,-1,875418,101154,148979,226749,-1,834792,-1,142575,64144,879889,151634,-1,-1,-1,-1,-1,-1,289427,239242,807694,31636,-1,932297,-1,-1,598140,-1,763539,461790,669094,119439,858050,-1,185562,-1,111388,806250,-1,-1,369190,-1,896693,292240,410696,-1,-1,-1,-1,-1,-1,393286,-1,850009,-1,-1,-1,-1,-1,666570,990251,744217,374688,669264,-1,-1,-1,-1,-1,125694,109107,185116,509884,-1,-1,-1,503211,17056,-1,940784,-1,411425,63650,-1,373747,897670,166888,-1,410403,-1,-1,35730,-1,546902,905815,-1,-1,-1,299718,-1,648731,-1,199025,-1,711574,672800,652365,-1,887308,727181,369510,-1,447920,-1,-1,515148,-1,194310,-1,-1,316935,75010,-1,-1,-1,-1,304601,-1,-1,-1,869588,-1,-1,352343,80585,-1,106662,366886,396490,745010,-1,680041,-1,-1,-1,-1,-1,-1,-1,162655,125438,-1,755235,-1,-1,648986,-1,851423,-1,-1,262470,144426,-1,238270,-1,147387,522137,-1,-1,-1,319932,-1,-1,-1,-1,-1,-1,254274,259747,303441,255389,-1,110354,857198,40574,715163,-1,409142,994891,859091,661429,-1,128570,-1,290589,947840,81791,142308,-1,-1,237868,-1,235107,920895,483905,-1,-1,891280,-1,-1,46029,-1,-1,881079,-1,654130,361409,749132,45709,-1,66000,627732,94775,-1,118850,711944,-1,311717,522940,848818,682999,-1,826046,895996,666780,136447,587523,952549,551519,-1,-1,783022,-1,-1,-1,935260,415381,244901,-1,678539,-1,101423,-1,146568,975549,819659,667286,320572,-1,-1,629967,6063,801829,-1,-1,-1,51756,880259,-1,327082,3910,166131,522063,-1,-1,904934,705588,-1,329975,534082,285278,-1,111000,-1,-1,47256,-1,472109,-1,-1,-1,-1,-1,-1,914951,-1,752660,-1,-1,-1,-1,572268,817096,-1,912466,186315,600923,-1,-1,403906,-1,349986,-1,-1,-1,-1,-1,-1,894472,679828,903534,357054,920227,185121,614375,-1,696066,181540,709349,-1,-1,750053,-1,-1,-1,389344,-1,-1,538617,-1,-1,819273,912803,-1,-1,-1,-1,-1,-1,-1,405071,-1,488518,-1,-1,-1,-1,268768,-1,656469,195830,-1,866276,-1,598984,-1,995306,-1,-1,660392,-1,-1,953005,-1,-1,-1,-1,758703,494704,637657,-1,83182,-1,-1,-1,471781,-1,874959,701488,38224,675078,763597,-1,-1,205536,497948,355222,335702,290825,-1,-1,-1,939119,-1,-1,83934,-1,-1,328099,-1,208664,542213,-1,442437,-1,416605,-1,497304,378198,263754,146777,190323,398729,677099,756193,9433,-1,333056,-1,996438,661932,-1,381632,759075,-1,822103,-1,692401,-1,875913,461253,-1,147200,208133,602517,483632,697351,-1,-1,-1,305808,572611,522853,-1,717690,724006,909880,-1,-1,-1,820433,465100,430385,-1,580733,-1,-1,-1,-1,515705,588036,334685,330721,-1,-1,-1,-1,-1,164767,-1,-1,-1,716842,457843,-1,533834,-1,-1,-1,47673,511289,-1,991970,-1,-1,-1,611148,-1,854278,-1,188044,735937,-1,-1,146216,-1,703409,87640,-1,-1,-1,673029,926309,127055,488458,764163,-1,25625,-1,646971,652734,28646,-1,308103,145052,-1,-1,547378,-1,557193,250362,137691,333169,-1,-1,553646,-1,-1,-1,328033,993956,706568,338206,271476,-1,-1,-1,-1,794615,504555,159897,990962,-1,-1,-1,148251,960480,-1,324406,301246,-1,477259,-1,-1,-1,-1,-1,-1,-1,843241,-1,-1,6322,-1,10205,110085,168452,-1,-1,-1,729716,-1,15755,-1,-1,-1,-1,-1,448929,-1,429825,791258,826590,908673,-1,-1,-1,-1,-1,-1,-1,-1,680124,888764,872134,404817,275961,-1,-1,-1,815038,97895,374176,633934,706501,-1,-1,330847,466123,576934,-1,66421,-1,261233,519808,-1,-1,-1,-1,-1,798929,-1,328763,-1,462997,-1,-1,-1,324118,437457,530503,-1,331058,-1,-1,-1,490140,320038,-1,578017,524091,-1,-1,-1,-1,-1,164940,-1,-1,786688,24381,956285,-1,-1,753169,-1,-1,-1,-1,96977,-1,702229,627637,-1,-1,-1,-1,-1,-1,-1,801423,-1,91983,-1,514341,-1,429983,405928,-1,-1,-1,-1,193649,911819,150142,465684,-1,-1,-1,418452,731123,-1,805251,143649,114623,-1,-1,-1,174127,338549,-1,354258,-1,-1,861428,-1,459157,903697,-1,-1,742506,-1,-1,249776,596535,66423,547277,-1,-1,420722,-1,5698,-1,821070,-1,808193,377421,-1,-1,-1,-1,927289,575114,-1,182548,793185,-1,-1,292135,-1,-1,728987,-1,-1,810115,-1,461769,-1,-1,-1,-1,-1,-1,554869,-1,-1,-1,-1,-1,333896,-1,-1,-1,542999,-1,-1,952032,-1,-1,519308,827885,39280,-1,462419,-1,-1,968790,-1,641468,-1,915606,-1,-1,486009,746137,419882,880915,116608,-1,137404,718642,-1,-1,-1,866346,923799,-1,-1,971480,-1,50828,816767,239303,508896,649639,754613,-1,-1,-1,314791,-1,-1,711313,563218,190824,-1,976565,-1,69859,55303,149623,183351,690753,-1,964040,962609,706004,645946,-1,592487,849728,509320,651656,813838,526964,-1,-1,-1,-1,999843,-1,18419,-1,-1,-1,-1,-1,-1,875448,-1,-1,-1,-1,-1,-1,-1,75373,-1,-1,223113,796784,19063,-1,252980,35283,978651,-1,-1,-1,-1,254197,188523,-1,950119,130401,-1,176509,902469,77802,664980,-1,542049,-1,-1,-1,634031,-1,-1,-1,-1,-1,645788,684458,-1,115033,-1,-1,265658,287893,704181,-1,-1,-1,920558,970907,236734,515392,856813,-1,544281,-1,-1,993083,305969,692200,691484,-1,-1,382924,861262,-1,-1,681658,825145,-1,425484,962276,104581,792969,-1,-1,881193,257089,-1,539404,871165,-1,-1,905953,830782,-1,-1,444608,318435,979183,114012,329906,314018,-1,941650,-1,-1,583304,-1,516712,-1,832571,-1,-1,-1,-1,670939,-1,-1,578713,671393,339356,-1,-1,-1,302068,-1,498750,601481,-1,434942,570348,-1,-1,-1,-1,128652,807960,885089,17583,-1,-1,583195,-1,945223,-1,544550,397241,73258,722073,245407,272839,-1,-1,-1,742445,907127,-1,-1,800938,-1,-1,-1,-1,210708,-1,377958,988005,-1,-1,-1,19928,319126,-1,-1,-1,805508,-1,8855,-1,307690,858736,-1,484326,-1,-1,-1,-1,-1,152759,-1,-1,412254,67674,376335,-1,-1,-1,-1,-1,335797,579247,63527,186844,694488,-1,-1,-1,96617,513603,418840,362375,206239,-1,329618,-1,183959,-1,-1,-1,992018,417550,888304,-1,269080,-1,913067,-1,540011,-1,291406,496277,613209,725358,-1,943990,-1,984012,-1,-1,-1,-1,-1,-1,-1,-1,-1,54926,357822,-1,-1,414914,-1,431554,58536,333297,-1,884531,-1,-1,-1,-1,-1,97197,114323,211987,236854,438260,64300,112045,-1,521736,993770,-1,-1,-1,-1,-1,923361,-1,-1,562998,-1,925268,745385,-1,-1,412393,-1,286096,-1,183396,661222,-1,-1,-1,-1,-1,719156,-1,355841,631715,650497,134619,433998,-1,-1,885105,112148,782092,-1,877700,-1,950272,930898,933628,576240,-1,935259,994617,-1,-1,-1,224089,815530,810483,-1,-1,-1,80265,356556,-1,943285,936225,-1,-1,360215,816492,920786,-1,321719,384722,-1,-1,358718,-1,715582,822849,-1,788424,912719,396881,555066,192058,755882,791791,-1,-1,860488,368318,-1,-1,276106,-1,-1,12950,-1,-1,738929,347732,361991,905781,945979,-1,68451,-1,482354,-1,556092,303868,-1,-1,229170,-1,276995,231243,310219,326415,-1,645279,-1,604751,-1,951555,961806,198196,-1,-1,604498,913987,430591,-1,-1,-1,-1,658108,877605,-1,-1,287608,64261,659825,746946,-1,163019,320940,674428,504626,133424,155925,-1,607357,355178,-1,-1,582924,-1,-1,860102,-1,-1,-1,702510,-1,175396,-1,-1,-1,732728,-1,767000,-1,-1,558225,102902,115530,-1,-1,715538,-1,-1,-1,927072,-1,-1,238004,-1,728225,254013,978251,766696,767603,-1,465120,-1,-1,924503,280304,965105,904044,31443,202646,-1,-1,-1,-1,-1,-1,-1,-1,420657,-1,-1,-1,-1,-1,402913,-1,-1,282208,-1,-1,313322,-1,790382,576943,-1,238339,-1,-1,859359,114206,-1,620030,888094,493632,561240,326942,520260,-1,-1,-1,-1,782975,-1,433049,-1,99422,722934,528887,-1,481875,581341,-1,591643,156629,131356,-1,-1,-1,-1,116869,265638,-1,844715,-1,551793,-1,305185,-1,850869,814244,-1,-1,527497,-1,798831,-1,-1,221655,-1,213658,-1,574007,653538,48361,-1,845490,-1,529915,634280,659583,-1,-1,757063,281196,498659,-1,-1,-1,786231,484818,956097,300893,-1,-1,-1,-1,603379,-1,-1,-1,136299,637976,-1,-1,210348,-1,276950,716330,655374,383345,375963,744002,351702,-1,309178,-1,23419,292158,454282,-1,566888,-1,-1,-1,294656,376818,-1,915436,-1,-1,-1,-1,305769,980544,943823,767863,540064,-1,-1,-1,-1,834167,488719,-1,-1,-1,915799,213412,-1,-1,353161,757924,134134,-1,-1,698644,913273,860089,-1,995564,-1,899664,355312,353503,189970,-1,-1,427620,55990,504041,869502,499009,48557,498639,-1,91453,714469,710708,-1,-1,-1,-1,767900,-1,-1,-1,740990,475863,332262,-1,576643,-1,830451,-1,-1,868252,-1,-1,591584,486658,-1,474323,528211,551360,-1,393990,733334,-1,300084,981480,774244,110335,98504,-1,-1,476602,-1,619386,-1,-1,545936,339723,-1,-1,123634,-1,-1,-1,155082,-1,-1,883227,144669,-1,-1,-1,-1,456518,254941,504810,-1,-1,-1,-1,-1,672881,580492,484590,900283,-1,-1,57913,-1,-1,376676,892114,-1,628344,566969,194158,-1,587343,680923,969641,-1,247525,256779,463593,-1,-1,388766,950433,635463,-1,814892,412228,837744,559277,112782,53259,649017,887486,-1,-1,-1,148865,742512,994292,427022,-1,454096,-1,-1,-1,977720,361990,-1,807850,-1,-1,807066,-1,615694,580834,988145,-1,354204,-1,-1,548669,-1,-1,-1,370822,-1,299063,529145,321544,42051,535410,-1,-1,183007,-1,9822,393824,95002,-1,944758,-1,122389,152609,168202,-1,-1,-1,842490,253219,-1,493851,349554,730856,-1,-1,784539,-1,571528,-1,357645,30629,108499,647350,-1,-1,572518,795991,-1,-1,-1,527108,329412,-1,103251,-1,-1,-1,962366,709248,-1,-1,183192,616643,-1,-1,-1,353800,-1,-1,880941,-1,226216,-1,468477,-1,-1,695178,-1,503437,9722,51949,189507,99334,-1,264865,666564,-1,-1,450205,-1,860626,-1,95699,867019,-1,844865,-1,-1,-1,601804,-1,-1,994562,-1,317235,163142,-1,-1,-1,-1,-1,114639,462453,-1,-1,437210,417103,999595,60998,218630,-1,4942,-1,-1,-1,-1,460733,750435,-1,610663,-1,108925,845948,-1,131750,-1,214867,-1,347327,-1,724242,137572,-1,822952,-1,341998,-1,-1,-1,230722,524122,-1,-1,-1,-1,-1,-1,489696,545458,-1,498074,-1,245030,370149,670045,661905,769481,138296,-1,-1,-1,213558,493606,-1,816763,120243,38877,544786,136021,139557,-1,-1,-1,905766,-1,328632,-1,178287,-1,784614,-1,-1,643378,-1,-1,959709,-1,-1,-1,725464,-1,-1,723505,-1,551594,41170,723304,636985,-1,571864,-1,-1,-1,-1,-1,251666,-1,406069,364233,-1,833942,773325,955726,-1,-1,-1,35221,232141,545556,-1,-1,-1,-1,821556,-1,-1,669860,-1,505604,-1,-1,-1,613144,158754,198311,353219,-1,59928,-1,-1,-1,-1,-1,-1,-1,639026,565998,-1,991871,-1,878789,4056,23391,-1,-1,-1,-1,377428,520693,-1,-1,-1,261849,-1,-1,692180,971343,-1,-1,781831,-1,-1,-1,963452,-1,-1,211533,290377,304663,145520,-1,374939,860515,446255,-1,145455,213386,-1,723587,-1,663226,-1,949227,-1,-1,17534,174484,941007,-1,872308,527545,-1,979703,696266,-1,-1,-1,421601,-1,575527,8902,-1,523129,708447,531228,325389,995508,498379,-1,342754,849752,725500,877706,789650,200916,383003,96642,-1,-1,-1,-1,628977,603593,-1,940247,-1,577057,653349,191775,-1,-1,337220,84585,406837,-1,787914,-1,-1,286241,-1,63416,106785,100805,-1,-1,-1,514689,562128,-1,262955,-1,932936,-1,-1,559748,-1,354040,685533,-1,-1,-1,942737,-1,466108,675141,925687,-1,173761,964076,-1,367725,-1,-1,774157,-1,540601,335803,-1,-1,-1,955674,960831,912315,-1,-1,-1,-1,-1,-1,-1,-1,79216,926325,-1,281601,-1,84912,-1,768953,596018,821444,-1,-1,593636,617252,-1,-1,-1,-1,762960,-1,339044,-1,-1,205949,907857,990439,88278,-1,422668,-1,-1,690596,981916,-1,-1,-1,-1,-1,-1,-1,5866,22873,64882,-1,803705,993528,-1,859149,623748,884966,-1,596255,-1,-1,573294,21054,-1,-1,37497,877828,-1,-1,-1,-1,88405,579001,-1,-1,-1,-1,-1,-1,-1,-1,312320,6975,706537,742188,518976,-1,738529,-1,507080,471575,217429,197040,-1,-1,523395,-1,-1,902464,-1,504496,276374,-1,892177,686740,-1,-1,-1,539523,-1,126524,-1,-1,-1,769328,-1,941872,-1,-1,-1,-1,817597,156832,-1,861559,-1,280685,-1,370249,255651,-1,-1,27311,319583,657389,-1,597405,811485,166764,-1,-1,853390,629363,-1,-1,-1,614032,670421,-1,180351,-1,762561,365708,860019,147369,-1,112627,921105,-1,-1,-1,464694,-1,-1,618972,670885,-1,-1,709874,-1,831586,-1,-1,41755,272634,-1,-1,942711,417055,501046,37331,783024,323710,940985,-1,870067,-1,444941,899765,-1,709900,422551,714359,670847,804839,-1,-1,-1,255612,-1,-1,744004,630664,89187,-1,-1,-1,981001,-1,-1,-1,-1,-1,46454,697806,269682,-1,-1,-1,-1,782181,281499,15721,-1,-1,966793,661759,135360,359713,672864,722026,756419,-1,879016,-1,564825,-1,707497,-1,819436,-1,69617,420686,-1,-1,639789,-1,-1,78951,-1,945950,930715,-1,682854,374865,-1,-1,918502,-1,-1,-1,-1,-1,-1,697775,-1,344065,-1,381998,240474,-1,436405,-1,-1,937096,-1,-1,-1,-1,747896,348141,-1,-1,-1,918759,-1,-1,483796,463080,-1,154973,497797,-1,576388,862296,934339,210158,94135,779092,820617,370449,691501,481122,-1,140792,-1,-1,-1,-1,229274,456271,-1,626564,-1,-1,751588,-1,-1,182496,-1,308159,-1,413188,-1,-1,-1,768793,-1,491517,89069,197091,-1,48446,850376,453944,165343,419482,964203,483695,435224,321283,37412,341121,-1,438180,-1,960142,-1,-1,741793,-1,-1,708024,-1,790132,665826,635570,475940,770848,-1,-1,-1,735143,-1,-1,689271,706159,-1,-1,496798,671370,367474,-1,34284,-1,-1,153752,881123,-1,-1,759974,-1,600760,230400,-1,-1,142863,131792,957230,-1,-1,828068,-1,-1,594324,-1,820468,713752,-1,-1,63512,928209,-1,-1,-1,-1,730171,39106,270677,-1,55511,415535,90631,-1,-1,619584,485723,-1,-1,928965,-1,374630,86990,523860,39497,590636,-1,-1,351027,979770,521123,923464,244051,364857,505970,75047,870203,437917,-1,938909,530235,-1,909221,-1,115897,704421,784761,65210,-1,-1,574535,-1,672058,-1,-1,574539,-1,-1,709715,-1,-1,986067,-1,102833,-1,177033,-1,104376,830174,378296,518121,705389,857393,-1,-1,636884,-1,690763,748143,-1,-1,-1,-1,-1,-1,719077,925895,350363,-1,3236,459738,-1,-1,-1,-1,-1,-1,-1,311258,289653,368175,-1,922229,245649,-1,723793,-1,-1,83331,769156,-1,-1,-1,533487,-1,311959,-1,156475,-1,-1,-1,207386,661246,-1,-1,-1,-1,-1,895497,492558,-1,496433,-1,-1,831371,49658,41577,-1,-1,435208,-1,521070,-1,-1,863681,-1,-1,170366,-1,-1,-1,361321,-1,-1,-1,-1,-1,-1,-1,742810,-1,295526,765970,-1,78568,-1,218965,462647,-1,-1,493867,34569,-1,653447,-1,719855,-1,725925,-1,9081,-1,-1,-1,965378,626890,103116,-1,-1,-1,314707,-1,914575,-1,260795,450095,-1,-1,210534,-1,-1,-1,35508,-1,-1,654692,-1,297838,430523,-1,648167,-1,847270,101758,-1,-1,285051,512630,274401,748415,-1,915466,327578,-1,642809,-1,-1,-1,940681,817934,-1,-1,381486,748268,383239,-1,-1,-1,-1,-1,361467,-1,-1,-1,-1,-1,596483,839033,711707,-1,-1,367381,75468,-1,54170,141496,855569,-1,-1,-1,-1,-1,825202,65821,-1,-1,-1,709846,-1,-1,-1,-1,549252,759809,-1,471505,76613,461606,741126,-1,873181,368760,-1,465605,730850,-1,764726,-1,-1,263395,-1,-1,602248,-1,207759,362178,447989,-1,398934,-1,535460,-1,-1,-1,-1,800800,44604,997225,690921,51841,-1,946826,-1,675871,92997,-1,81369,-1,-1,-1,-1,406300,558128,-1,735185,147190,583689,-1,-1,672517,-1,-1,557804,620465,-1,-1,65623,-1,-1,-1,-1,766643,249302,-1,-1,-1,775227,729747,-1,-1,-1,41570,-1,-1,-1,-1,492679,617818,-1,832656,230671,659379,496082,-1,460449,159967,114059,-1,578128,-1,-1,-1,-1,536627,248699,526118,-1,-1,799094,359341,825834,98117,6263,-1,461385,226538,264657,-1,-1,269053,844243,-1,144684,898221,-1,-1,-1,233489,772626,208815,703111,-1,726282,-1,-1,741820,-1,857848,-1,-1,747388,-1,-1,79063,-1,-1,-1,-1,337276,-1,873687,-1,20028,406439,440229,-1,708332,-1,-1,-1,135861,418798,795742,916266,-1,-1,-1,806340,62391,5191,-1,-1,-1,-1,139871,18123,-1,755709,387294,481672,-1,-1,446283,-1,918645,-1,-1,16342,-1,-1,-1,-1,481746,-1,-1,954722,638870,670394,867029,861753,668951,340275,-1,-1,-1,-1,289030,834310,974486,-1,-1,422118,-1,126604,713939,-1,-1,251990,-1,-1,-1,104599,-1,-1,-1,971847,-1,-1,925616,725790,-1,944924,825545,-1,-1,330318,-1,764515,-1,-1,554587,-1,189480,-1,-1,952855,-1,-1,945968,-1,709614,-1,-1,350390,-1,-1,195141,-1,-1,-1,764773,956352,-1,139217,-1,-1,115483,307973,-1,419215,923607,-1,-1,403673,-1,243423,-1,-1,-1,-1,769646,-1,-1,-1,921812,76995,-1,-1,-1,81266,-1,675990,501202,-1,691636,822597,740326,591242,-1,-1,-1,636625,-1,-1,-1,-1,839962,-1,-1,-1,136078,893361,-1,-1,329634,-1,755532,352174,-1,594486,-1,-1,-1,-1,711926,-1,421087,539707,900523,-1,-1,423219,-1,697276,-1,476745,-1,-1,325755,-1,955795,733799,617747,-1,373082,943944,94206,-1,314880,366378,-1,-1,735645,-1,678694,-1,-1,398283,-1,-1,-1,843012,303611,-1,939546,923045,-1,-1,-1,-1,987386,-1,915962,276557,568022,454668,-1,-1,-1,285895,-1,751396,-1,984330,982634,684836,946601,34582,210574,132668,386965,-1,-1,819639,-1,847933,377690,567830,-1,-1,200270,942324,-1,-1,-1,-1,504876,323714,-1,-1,143431,10490,-1,131255,166191,669016,665621,-1,-1,-1,-1,307913,-1,-1,201492,-1,713640,706085,-1,111061,614788,52182,-1,-1,-1,-1,-1,-1,-1,213841,-1,683543,764220,-1,-1,527974,-1,-1,101044,-1,-1,165786,431238,-1,731740,-1,-1,517208,637311,-1,-1,385879,-1,-1,-1,219912,-1,-1,49228,-1,-1,123975,-1,927306,-1,-1,-1,320469,537423,-1,83147,215969,371975,-1,-1,-1,-1,134983,629489,617425,33273,-1,593604,-1,-1,685174,-1,-1,101027,-1,958013,897554,180991,767745,326982,189672,578818,-1,-1,-1,-1,404530,-1,631428,-1,318651,-1,938528,-1,596738,-1,-1,577794,913918,593443,-1,-1,879725,-1,66263,12052,280027,798026,-1,-1,124354,163632,354020,22398,-1,933076,952980,-1,664680,-1,-1,-1,-1,-1,309402,645539,-1,-1,633075,-1,-1,873549,-1,-1,-1,134303,950232,-1,-1,-1,2652,57483,618589,-1,636238,-1,132544,811727,-1,252136,94015,818674,-1,356384,360050,-1,559159,-1,-1,252820,-1,302901,4467,-1,-1,-1,-1,649597,-1,674415,319718,248870,-1,564241,649102,-1,101318,-1,-1,933405,-1,187099,-1,226936,-1,-1,-1,911600,856498,-1,985863,-1,401331,-1,955083,12307,135499,-1,991990,332856,426587,10471,-1,57722,-1,-1,-1,765843,-1,9326,-1,-1,-1,-1,-1,934488,955450,-1,493125,-1,489740,-1,386956,-1,-1,-1,14219,318038,-1,-1,177929,-1,-1,127219,108232,-1,-1,-1,57552,652550,-1,-1,631004,487399,904643,664666,-1,941350,-1,628473,714817,716239,146885,227526,837339,303035,8886,689217,971378,-1,-1,-1,35498,287993,-1,386485,-1,253904,-1,916666,413914,381112,771423,-1,-1,-1,-1,629930,-1,81620,-1,-1,-1,407020,69925,-1,881540,360874,-1,-1,283510,-1,-1,-1,107712,658671,502708,-1,642344,358317,-1,-1,-1,-1,-1,660826,-1,185057,624128,-1,-1,116027,-1,805859,-1,-1,78133,299378,-1,-1,-1,454433,851372,-1,927525,966506,258057,932755,789776,-1,-1,-1,-1,-1,-1,-1,64875,198526,-1,504974,-1,-1,322443,484239,46315,145431,-1,-1,920518,-1,-1,-1,901726,-1,638615,-1,79206,268547,-1,952365,514039,-1,-1,-1,394224,685105,521549,-1,-1,-1,758836,707412,258211,-1,-1,352487,-1,-1,148393,664064,-1,43417,-1,560820,-1,-1,932370,863267,796239,211329,974847,787473,-1,-1,-1,345320,715932,-1,-1,554556,248703,-1,170687,-1,684603,-1,458320,-1,-1,916606,448783,233905,-1,440277,978099,-1,242686,-1,-1,-1,-1,624387,815387,-1,75550,778867,415392,891989,-1,658259,-1,576158,-1,-1,664326,669500,749918,-1,408392,-1,89935,-1,-1,204304,-1,-1,-1,588321,517459,97186,-1,-1,-1,70609,943655,171742,-1,156986,-1,-1,474865,497698,-1,696357,400276,307402,819095,630156,-1,-1,225137,-1,-1,-1,553208,-1,-1,716997,-1,399086,224278,338124,-1,417971,-1,645523,-1,824272,481668,-1,-1,-1,-1,95583,-1,724012,-1,363180,-1,36736,840633,-1,-1,518958,977555,-1,-1,-1,240991,-1,671711,234615,940801,465320,661908,864906,527370,-1,-1,-1,115741,851386,820017,895166,-1,486703,-1,-1,116305,530988,42697,-1,843656,-1,38305,-1,665447,-1,11580,-1,431148,774407,-1,397759,-1,653408,829786,188046,-1,293443,249859,578681,900149,379014,532357,944092,812705,874186,-1,598482,-1,465309,763924,708038,200356,-1,-1,-1,-1,-1,-1,-1,992206,-1,40832,-1,-1,-1,-1,-1,997731,-1,898991,-1,494152,-1,455438,796938,-1,869287,53157,-1,626722,-1,475462,164586,927892,712180,-1,278837,-1,-1,607138,310239,183974,595192,-1,840782,506948,-1,-1,-1,-1,529470,-1,143943,-1,474906,-1,102116,-1,-1,186249,269016,-1,-1,441400,264020,-1,-1,516391,13877,-1,-1,233823,-1,667429,-1,-1,-1,-1,-1,897866,971128,-1,740292,-1,-1,-1,-1,-1,-1,-1,747703,-1,64435,16664,-1,-1,474549,-1,-1,-1,-1,-1,-1,387166,-1,810059,-1,177697,-1,-1,-1,722455,321913,-1,173635,396049,599201,671500,98785,-1,310724,-1,-1,-1,875411,-1,-1,310799,-1,330030,-1,268863,756834,979103,-1,-1,-1,-1,893087,-1,-1,465855,-1,-1,330441,-1,705259,875451,61209,666160,-1,620734,841224,-1,-1,706936,197445,877300,160620,564928,-1,92581,991245,425610,-1,-1,-1,211135,-1,343643,977356,-1,-1,-1,-1,-1,-1,86227,-1,-1,-1,-1,-1,694287,44802,-1,-1,-1,-1,-1,618726,-1,377895,562078,-1,24462,-1,-1,-1,994300,320571,253100,450530,281180,295868,-1,686894,-1,291626,-1,-1,-1,-1,783453,-1,641271,-1,806787,-1,110248,-1,451666,901645,262181,367627,96754,-1,-1,-1,-1,-1,-1,-1,403347,106490,-1,-1,-1,-1,-1,-1,-1,802520,142526,-1,-1,-1,-1,740531,656798,-1,-1,-1,-1,329660,965930,744444,860898,-1,-1,-1,755202,-1,98887,878473,-1,965071,473203,-1,718805,187109,-1,783313,331585,-1,215371,922442,785507,784575,392252,-1,-1,34317,-1,547717,387394,-1,-1,-1,-1,400967,-1,-1,-1,952131,821974,680348,850198,-1,830970,-1,-1,789958,-1,788192,137840,179061,95092,-1,617580,-1,955874,839409,-1,128801,532941,-1,264281,795851,-1,484148,-1,-1,618558,437928,-1,-1,531712,-1,-1,-1,-1,683356,8156,411188,819954,-1,-1,-1,-1,-1,444072,408073,661912,-1,-1,437820,-1,-1,119852,845203,824713,377260,564603,448605,524924,-1,-1,-1,268318,-1,-1,24797,-1,-1,948013,660909,-1,-1,879863,-1,34947,-1,288349,868217,-1,-1,-1,-1,-1,-1,-1,-1,827255,-1,720951,407303,193527,864575,-1,590071,-1,694182,395200,-1,-1,-1,-1,975699,-1,936731,711138,668538,-1,484322,82629,-1,-1,-1,-1,-1,-1,-1,120445,601094,-1,79205,73711,-1,-1,-1,155860,-1,-1,-1,665998,808269,667180,-1,-1,-1,-1,448098,-1,984747,939452,-1,850791,345049,956065,-1,-1,775168,-1,43580,-1,-1,604513,-1,440988,238797,800056,-1,-1,107757,-1,-1,348717,-1,-1,875357,-1,392706,832432,-1,305099,269762,-1,-1,708612,55361,-1,970501,-1,-1,-1,284657,692809,-1,201585,442092,-1,971048,55753,-1,-1,-1,-1,-1,-1,336957,651648,502994,555599,713701,170283,-1,-1,899126,789604,-1,-1,4686,-1,-1,-1,-1,348048,-1,-1,895673,128348,948785,-1,-1,702396,-1,533825,-1,989053,-1,537184,160573,-1,-1,-1,-1,336799,-1,-1,722078,-1,249553,668683,-1,-1,55845,543658,-1,772988,-1,252327,-1,692662,356274,260705,-1,-1,412824,269578,-1,-1,-1,-1,54917,-1,560530,162224,71846,499835,964112,-1,752240,-1,71081,-1,371382,-1,-1,-1,430845,-1,51733,-1,-1,980846,750817,-1,441324,-1,-1,310942,471830,131984,163270,-1,934749,274782,-1,57043,-1,821018,599816,807887,36343,-1,-1,-1,661626,-1,380476,-1,-1,-1,-1,549622,-1,933556,-1,161812,-1,-1,735195,-1,42650,149256,-1,-1,-1,-1,-1,-1,-1,158079,351018,391562,-1,161827,-1,-1,485343,269353,-1,-1,598371,489392,-1,250312,-1,998760,-1,111416,-1,281686,-1,242646,-1,23136,332119,-1,661680,-1,59784,-1,468664,610828,165477,332505,-1,-1,283910,-1,715665,881739,-1,243840,-1,-1,-1,-1,-1,-1,-1,-1,402447,-1,-1,482334,175545,327894,-1,-1,-1,-1,-1,760592,7082,-1,-1,496792,43524,-1,-1,657945,950181,262109,-1,616697,-1,-1,-1,-1,377171,-1,8261,955373,267003,-1,-1,585465,-1,608254,480819,363031,565974,154559,-1,386935,692830,-1,-1,-1,511531,360455,-1,-1,-1,-1,500736,214609,-1,-1,809963,20162,382267,-1,697086,-1,-1,211960,384168,415926,-1,-1,671958,457761,312222,46838,718926,358495,-1,-1,-1,-1,113543,-1,762282,47774,709494,-1,-1,287601,-1,130505,365671,-1,210080,877742,551230,-1,485605,414778,-1,309049,-1,954437,-1,720931,816158,-1,-1,-1,684137,646669,-1,148796,-1,-1,-1,-1,-1,-1,-1,-1,138136,397709,122757,-1,-1,-1,71598,299968,793389,-1,762086,876342,-1,-1,-1,600362,699864,-1,-1,-1,-1,21190,479692,-1,458379,278477,-1,-1,-1,448400,-1,-1,-1,962202,699635,-1,-1,-1,126230,-1,422122,419067,333407,237020,234979,-1,-1,-1,-1,149952,751115,637725,88160,-1,-1,414651,-1,94855,-1,282641,-1,-1,-1,-1,864046,-1,-1,-1,-1,-1,-1,-1,635241,-1,-1,340981,202202,-1,879548,-1,820012,-1,-1,-1,950317,958410,176244,-1,621449,394712,922187,-1,-1,916363,-1,-1,98640,-1,-1,-1,724144,-1,499908,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,371005,-1,-1,518711,-1,735387,519732,45288,-1,-1,130052,-1,910394,-1,-1,-1,-1,19382,544361,30966,-1,-1,99046,-1,-1,774512,210532,19082,477808,-1,-1,243818,297702,711514,-1,-1,49691,-1,253599,894528,-1,-1,411452,-1,25850,767475,921151,964763,-1,-1,-1,-1,303444,142406,753914,363504,292439,-1,-1,462974,-1,-1,-1,652231,321855,-1,-1,910234,-1,-1,-1,-1,645574,623069,651804,-1,-1,-1,-1,-1,469971,-1,372259,-1,852099,539454,-1,-1,-1,942881,714928,979895,-1,-1,553566,-1,-1,665197,-1,799765,368960,-1,-1,323386,519064,-1,94954,826574,928865,-1,-1,-1,568129,-1,-1,679142,853935,-1,249036,-1,-1,284910,333206,778360,-1,-1,-1,-1,-1,-1,-1,-1,410044,169457,485718,435776,739005,-1,297018,-1,-1,-1,-1,676616,459824,-1,-1,-1,-1,-1,475595,645345,748008,914614,-1,-1,-1,593789,804827,299928,621723,548462,-1,-1,194251,761146,-1,679791,999285,604004,37974,-1,-1,319420,284674,588138,743913,-1,454991,-1,-1,773844,421999,-1,318728,401552,-1,-1,-1,495069,181827,850986,539493,512286,-1,808779,-1,168635,664458,-1,-1,-1,-1,647154,-1,505340,930063,-1,95006,-1,372044,-1,899895,780479,-1,-1,728854,-1,377664,625343,931676,-1,918550,-1,-1,-1,329710,125669,-1,30911,397251,-1,74133,-1,113818,495749,309562,-1,-1,520048,-1,-1,-1,553771,576829,540981,935465,-1,73354,768508,556691,-1,-1,-1,-1,881818,914870,748220,565658,-1,967753,116749,-1,7236,-1,727714,-1,788345,808229,705985,-1,903504,-1,487891,316286,587417,62239,-1,786899,149385,869081,382067,90782,-1,571852,915617,-1,-1,864665,-1,-1,509315,213183,180870,-1,696317,790841,-1,-1,674707,778728,-1,771981,-1,650241,764093,609466,-1,870791,106931,196725,-1,994884,-1,-1,-1,-1,-1,-1,39783,-1,-1,-1,953102,-1,832365,-1,65670,826410,909991,812371,-1,-1,-1,176707,-1,-1,476495,659486,-1,-1,592729,765938,134733,-1,-1,668158,117384,625276,-1,-1,548705,-1,-1,385007,-1,-1,35665,-1,-1,302518,33192,-1,-1,768009,-1,292819,202180,54292,-1,510886,476784,651202,397762,419417,-1,319016,-1,932550,-1,625058,532200,668624,-1,-1,241437,-1,894159,-1,-1,-1,-1,573793,-1,878663,-1,336806,-1,-1,186096,526894,-1,-1,-1,680602,869185,221407,84992,202958,908866,274111,252804,809577,86424,316973,286935,984097,300806,-1,976421,136906,-1,-1,-1,473226,-1,733297,955908,-1,-1,-1,-1,208268,368162,659726,-1,-1,168478,610469,978094,120698,846731,-1,314463,-1,403956,-1,535422,-1,343638,91603,-1,233192,440079,374306,682869,358198,-1,-1,-1,584632,-1,601502,256015,455801,-1,-1,707214,913952,261202,323338,492801,-1,-1,897592,-1,-1,633172,172850,-1,247145,-1,-1,556064,618244,10844,-1,-1,867257,682574,580069,-1,594399,-1,-1,194428,730009,-1,-1,-1,-1,-1,-1,-1,-1,-1,380184,847709,795501,951441,950974,-1,22495,-1,-1,784463,284666,693387,-1,-1,334182,790678,555614,-1,-1,400182,231646,394621,-1,730689,-1,641783,-1,-1,-1,-1,105867,-1,-1,-1,85281,-1,-1,-1,765932,527749,886675,355316,-1,-1,416784,40021,948255,713708,-1,-1,-1,350184,-1,-1,340745,390055,545400,378823,444473,-1,370569,196660,-1,73531,-1,329060,164527,554210,-1,319736,975874,490600,773961,-1,837788,542276,357754,650717,-1,-1,129427,363996,576078,753774,259475,-1,-1,528055,-1,-1,-1,313857,425767,-1,-1,-1,665743,476530,-1,-1,-1,462601,63293,593025,677346,-1,330559,774021,885820,823212,-1,-1,-1,-1,948484,-1,-1,919620,-1,-1,969979,870933,-1,760330,249893,-1,-1,588013,-1,218478,68188,805512,-1,-1,-1,731577,429764,245799,-1,-1,-1,540258,-1,657060,-1,-1,-1,402107,-1,966020,513774,-1,-1,539700,965355,728461,466616,-1,437643,166103,-1,-1,507673,584850,936877,57686,-1,587572,-1,-1,-1,217640,27058,258133,-1,-1,740396,723686,110266,-1,-1,816681,-1,-1,-1,-1,-1,-1,26201,470377,-1,177098,-1,575605,552821,511166,-1,-1,-1,-1,684023,-1,-1,-1,251212,775382,-1,-1,-1,-1,23152,-1,738443,-1,-1,-1,941000,-1,-1,902615,459255,-1,430345,-1,-1,-1,791053,-1,-1,891564,845571,-1,437010,988794,113440,880673,-1,577778,582034,-1,579688,294509,-1,-1,922776,199106,-1,-1,333047,747354,-1,-1,250641,231149,875097,68880,-1,-1,-1,967460,688604,420809,876566,-1,994897,-1,133791,-1,488848,435213,758127,-1,-1,-1,183201,-1,231184,-1,-1,340498,-1,-1,948932,795901,-1,-1,136581,374933,547348,-1,-1,159285,224192,-1,982426,370960,-1,-1,722786,378766,-1,211488,-1,-1,575475,584683,809643,-1,498566,-1,703175,-1,-1,565911,93948,-1,251602,958155,-1,858384,-1,-1,-1,907624,-1,-1,703435,649979,196599,-1,628142,403911,-1,339506,804537,-1,-1,584236,153422,188744,-1,-1,-1,488985,-1,793392,983504,820119,-1,-1,615425,419238,-1,-1,884469,173494,-1,362196,477461,-1,-1,40191,778644,726928,-1,761296,226405,168460,173011,606245,589251,-1,-1,-1,622060,61757,238284,81320,-1,-1,376647,-1,699245,-1,725206,738678,814523,734248,-1,523686,858727,-1,-1,-1,82530,-1,184053,291645,852372,-1,979278,-1,883654,431770,-1,731035,24759,661411,-1,-1,-1,435720,-1,-1,-1,240680,-1,-1,-1,-1,570872,-1,238372,12475,797285,-1,-1,518009,-1,-1,815534,-1,416518,-1,-1,449782,652964,-1,71423,-1,-1,441081,-1,477349,651303,457546,-1,-1,-1,-1,570272,-1,-1,8244,779953,-1,575872,976953,-1,-1,346802,-1,-1,-1,260121,5585,102225,-1,-1,-1,877154,108272,251179,459880,-1,24719,-1,-1,-1,-1,-1,-1,90242,724237,-1,-1,11601,49740,-1,787965,554605,271798,-1,75503,299229,642277,403547,968649,176459,-1,-1,-1,-1,-1,-1,425382,-1,555519,756732,927861,343289,-1,534798,362225,-1,90994,114459,-1,447912,-1,-1,-1,752828,-1,503496,-1,-1,-1,-1,323742,43414,274631,96559,-1,-1,252310,764745,438034,827309,-1,-1,-1,733934,731626,595698,-1,-1,-1,886290,-1,782377,627445,670602,930563,-1,64027,304506,148857,748974,-1,-1,-1,875493,-1,-1,-1,-1,-1,473763,-1,521468,-1,-1,-1,538053,-1,95004,900504,-1,-1,792419,-1,-1,-1,187615,598047,869357,-1,-1,-1,276453,-1,-1,331357,394117,-1,-1,128679,834158,-1,94460,470795,371810,8312,-1,-1,354967,-1,714453,841827,769163,-1,313042,-1,751876,766274,704178,-1,533711,-1,-1,-1,-1,605917,914095,933880,-1,-1,969273,163480,-1,546199,992239,915546,-1,33883,-1,300829,-1,-1,-1,715681,387794,769180,-1,-1,932834,-1,-1,-1,-1,-1,-1,-1,-1,-1,555679,16772,-1,230427,-1,-1,172662,713507,-1,700959,-1,-1,418523,228954,576531,199646,-1,473302,321349,201916,-1,-1,203303,54240,-1,-1,-1,217903,176497,595152,700471,349522,-1,389269,-1,-1,214803,-1,-1,-1,-1,183869,-1,647410,674834,243538,-1,495438,-1,201229,225165,-1,538713,759776,-1,-1,204545,63864,-1,-1,-1,596088,67050,-1,35943,41721,-1,406374,428724,-1,-1,49321,533005,-1,-1,307277,890597,-1,-1,379450,931387,-1,-1,60739,426048,877016,921663,-1,538910,-1,-1,-1,109185,681264,-1,791150,-1,940636,-1,-1,-1,825548,9840,823692,804473,-1,-1,308066,-1,506585,778054,-1,857546,-1,690781,-1,-1,-1,-1,-1,-1,-1,-1,-1,747471,-1,99925,-1,170510,564667,424767,-1,-1,875920,-1,876949,-1,392106,146252,106886,606336,557042,756147,-1,106130,-1,-1,-1,-1,-1,-1,-1,-1,-1,723476,-1,-1,-1,-1,403602,-1,-1,-1,-1,-1,474979,411865,-1,-1,49425,-1,-1,465692,855793,137430,575354,196112,-1,-1,506023,776664,138223,-1,-1,-1,-1,-1,-1,-1,-1,469462,552945,739823,311854,328957,908971,-1,-1,-1,-1,-1,5238,470238,-1,-1,-1,832084,-1,434151,799886,853204,882128,710548,-1,-1,-1,736153,-1,99372,367519,46857,287386,-1,-1,-1,973640,178836,993805,749792,308739,-1,555444,-1,770731,-1,295908,82689,-1,364864,-1,-1,679424,-1,287451,-1,800176,578033,278092,-1,-1,709509,-1,555844,728289,92055,562767,289217,-1,983746,-1,429470,-1,-1,225149,-1,-1,278177,791296,-1,-1,260565,397376,-1,674569,186109,-1,921121,367057,-1,84314,-1,922494,226591,20966,37926,-1,-1,701888,95602,-1,93355,-1,85944,-1,125339,-1,-1,-1,146411,-1,-1,-1,955444,-1,-1,982054,198534,-1,-1,-1,694755,-1,-1,925599,-1,-1,575856,889834,-1,778221,-1,-1,-1,-1,591315,699685,-1,-1,880127,-1,250472,436369,-1,-1,434123,539952,30713,-1,115248,941231,432682,-1,73362,-1,234632,229936,924535,-1,367240,-1,981660,289125,956358,-1,362333,788546,735393,-1,-1,239013,133001,-1,435887,-1,175376,936058,60710,718850,47121,-1,-1,74187,-1,-1,422983,30306,98203,35231,265039,-1,-1,330611,127807,74895,-1,-1,141235,48098,463729,-1,-1,599688,183411,340387,-1,935581,-1,420909,496175,852035,139343,83962,-1,769718,-1,-1,-1,206433,-1,682845,-1,523205,-1,-1,-1,860458,750068,137737,-1,872013,-1,-1,-1,-1,962259,-1,-1,-1,-1,403913,725563,-1,845871,979718,872541,515987,285065,891809,348418,-1,-1,150505,-1,-1,-1,162951,-1,183115,466725,-1,277387,-1,12101,500321,-1,-1,930372,-1,754547,131410,-1,-1,-1,-1,-1,-1,930066,-1,-1,-1,-1,895023,-1,-1,-1,602513,-1,966483,-1,-1,557323,-1,-1,729535,471251,-1,-1,59660,-1,292959,303309,-1,729597,-1,582954,906857,-1,-1,-1,250305,228643,402234,-1,103631,273042,131664,-1,-1,-1,552353,39001,-1,-1,655262,-1,-1,86890,796719,-1,-1,599167,-1,-1,-1,-1,-1,734120,590217,100669,-1,959593,-1,902293,-1,-1,518342,-1,98999,-1,334411,453426,-1,-1,626910,-1,481824,-1,382792,322137,877653,811602,366332,79128,-1,-1,-1,-1,-1,-1,236004,-1,-1,791919,-1,314579,300291,-1,173085,136122,-1,-1,-1,-1,336132,186053,132509,463686,957980,-1,857777,-1,512995,-1,-1,-1,142633,453791,889532,58357,119789,678465,-1,938850,-1,295808,-1,-1,389792,-1,-1,-1,-1,-1,-1,971186,-1,-1,500074,611291,-1,-1,-1,-1,86243,-1,-1,830042,719190,894126,499528,2344,846694,-1,539114,906954,404371,-1,-1,-1,-1,-1,282081,589944,-1,802972,961403,95651,-1,233510,393245,-1,370119,-1,652330,499623,-1,-1,325644,-1,663711,582357,963613,908328,-1,-1,942829,-1,-1,-1,592673,250534,-1,-1,911127,972834,614733,22628,312583,-1,640358,970084,-1,-1,-1,789134,-1,670405,-1,-1,-1,-1,-1,-1,140745,-1,822691,777959,-1,65768,-1,-1,167264,993572,12863,421273,504087,774030,-1,-1,-1,138251,-1,669246,73058,245361,-1,122402,-1,789517,669930,-1,258397,-1,857054,-1,686310,-1,-1,-1,10858,-1,-1,-1,-1,945781,702101,344011,-1,-1,444172,588973,300435,703037,825046,-1,87572,50357,494237,-1,-1,-1,806153,-1,-1,-1,-1,839851,788363,260403,533598,36490,631286,-1,416849,977929,-1,-1,324157,563851,734230,-1,-1,987519,-1,318472,204588,-1,-1,-1,-1,251603,-1,756169,984497,483281,877152,936157,17898,706232,-1,-1,402058,930856,-1,-1,-1,149693,-1,-1,-1,539735,-1,333275,-1,-1,648361,-1,-1,156468,-1,-1,712951,429316,680217,758380,231272,269381,133864,10896,488571,463569,-1,-1,-1,-1,-1,-1,-1,162583,-1,139382,-1,320838,459246,210081,428885,471118,-1,-1,-1,755121,-1,663077,-1,-1,820509,-1,-1,55833,-1,-1,718664,158762,449421,756986,-1,946964,843760,-1,-1,-1,333808,73769,-1,-1,-1,-1,-1,-1,271399,534881,-1,597835,-1,-1,-1,253533,-1,441125,-1,190036,715391,-1,11088,147731,635291,-1,932137,-1,-1,964964,970480,785981,456386,120300,-1,-1,-1,608733,-1,71334,-1,875885,-1,-1,639286,489468,36691,967897,-1,-1,-1,872165,904135,299944,-1,-1,-1,713519,307595,397714,142294,48648,885442,-1,-1,48681,-1,710276,-1,283246,-1,838270,-1,612794,155476,-1,-1,803328,749753,863922,576354,554937,462283,463396,83036,90121,670198,200333,327335,-1,-1,897507,545468,398424,456004,-1,783006,-1,-1,281384,-1,427335,-1,424796,508749,44278,461125,218897,565045,878458,-1,550184,-1,-1,858676,-1,339986,510354,774247,435178,-1,-1,-1,-1,-1,561162,-1,-1,-1,75874,-1,660481,377752,580649,251583,403560,616262,-1,664490,-1,783799,390483,-1,936808,-1,-1,226297,536138,501673,-1,-1,879139,-1,572669,38867,745717,-1,837634,-1,502082,121738,49232,-1,-1,524571,-1,735268,912454,251555,-1,-1,503721,-1,558996,-1,-1,-1,669845,-1,516167,765903,230018,-1,308695,-1,816994,-1,302477,-1,872839,-1,927607,5182,960756,719913,-1,213681,-1,972620,714486,95101,-1,351272,-1,154686,-1,-1,-1,659466,517956,596498,-1,319162,-1,87087,-1,197163,-1,103019,64884,-1,-1,207866,515367,-1,360023,78514,558312,-1,-1,728946,283919,-1,133696,-1,-1,76146,386772,900334,817707,761390,472761,-1,-1,208391,-1,893779,478624,629960,922000,-1,-1,716014,557959,-1,-1,674454,670453,-1,-1,-1,-1,-1,-1,607797,565326,-1,667221,-1,6527,652200,97407,380543,34614,-1,-1,198512,686557,122117,-1,-1,206988,717215,-1,-1,-1,-1,-1,-1,465883,-1,78000,-1,-1,-1,711268,-1,96525,-1,626419,-1,-1,98537,951876,-1,-1,622210,666053,282291,154462,-1,-1,299477,680665,-1,88904,193905,247345,224306,-1,-1,45837,-1,325904,-1,-1,-1,-1,-1,500395,175339,702000,25522,-1,12134,265623,-1,-1,-1,932488,339662,966952,-1,-1,-1,-1,311625,429938,234762,-1,-1,629146,-1,787197,-1,-1,420598,511211,739567,152852,-1,277115,455646,72620,-1,240288,-1,-1,-1,-1,-1,-1,761585,-1,-1,-1,326116,-1,-1,701030,768066,388820,-1,277089,-1,306904,-1,-1,684428,339985,323996,301962,-1,325156,-1,-1,977903,241617,432500,919835,-1,-1,-1,166676,-1,437242,741239,930632,-1,-1,-1,-1,570075,-1,700733,-1,-1,-1,-1,-1,591423,-1,-1,-1,841558,-1,979193,-1,322218,869132,-1,-1,-1,703344,-1,-1,472624,-1,70570,-1,-1,-1,762160,-1,-1,901765,-1,825740,116734,-1,-1,398853,-1,178574,102501,-1,-1,-1,-1,106304,599007,607145,-1,-1,849235,-1,8141,273485,539545,50316,-1,-1,-1,-1,476486,-1,-1,921237,845848,80831,-1,-1,-1,-1,-1,935918,-1,774806,962981,-1,-1,999609,94122,60602,-1,984178,-1,-1,-1,-1,481286,56727,-1,986050,-1,124510,637893,-1,-1,-1,-1,-1,115810,-1,63692,-1,341093,-1,-1,740567,-1,-1,-1,-1,149992,-1,-1,-1,-1,283117,338105,-1,-1,-1,378923,558827,15626,-1,698592,348060,316519,-1,114082,-1,863877,-1,874480,741275,805272,361529,-1,19398,99767,360120,-1,881229,959040,87214,-1,444939,131783,-1,650145,-1,35299,226522,-1,-1,-1,-1,-1,-1,-1,683436,-1,64681,725688,-1,383961,545,-1,-1,-1,355926,448197,989957,-1,-1,791020,-1,741376,-1,942109,-1,3033,-1,-1,-1,651800,507705,499501,290224,314174,649702,-1,556859,676283,417073,559895,-1,-1,416350,930848,-1,-1,-1,618828,-1,680574,-1,719712,618418,-1,273307,-1,237875,628298,-1,-1,246680,1882,60834,892789,-1,-1,545058,482020,505210,-1,-1,756749,-1,188976,355230,-1,-1,-1,-1,793555,-1,298610,785065,-1,-1,-1,-1,755379,346206,512129,884023,-1,312696,-1,339397,687607,-1,108309,-1,113067,-1,-1,81197,-1,-1,965483,801793,250345,-1,755149,-1,-1,292433,-1,-1,3942,-1,-1,-1,348527,-1,378176,822075,130085,161542,280626,-1,226138,-1,438763,695445,-1,-1,-1,992062,98226,-1,627900,-1,105846,-1,-1,119082,-1,969270,-1,-1,-1,-1,109963,-1,-1,64558,-1,337822,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,30666,-1,472876,395299,-1,-1,-1,-1,112102,550638,-1,-1,749135,-1,752350,-1,94631,-1,780761,824941,-1,924698,135002,-1,-1,337904,-1,211532,-1,-1,-1,365161,915392,-1,-1,-1,-1,334099,-1,466836,101523,466677,356717,-1,-1,-1,-1,754332,140638,-1,615904,-1,-1,-1,314356,-1,-1,-1,57439,-1,170161,797164,516776,-1,-1,-1,160841,-1,926242,737179,-1,632239,-1,-1,870572,969415,-1,348348,735509,-1,419725,-1,-1,522319,-1,-1,997684,545991,-1,820175,314340,892475,680932,257050,-1,-1,-1,568577,-1,-1,-1,865064,-1,-1,385106,-1,-1,655666,268971,198375,-1,193750,613055,505188,424919,-1,6850,212929,-1,634161,-1,-1,-1,-1,752655,387640,-1,987423,932917,54342,172523,101121,-1,-1,883200,-1,-1,184187,477433,34305,462493,-1,-1,704774,259871,645488,-1,221247,924989,-1,357598,995786,444400,-1,-1,469519,875361,-1,936644,862637,474981,286876,-1,483147,-1,280577,-1,-1,805976,-1,880328,200918,-1,-1,-1,-1,773425,-1,-1,569869,-1,482124,474961,465034,-1,-1,952995,882149,362629,-1,208626,595822,667165,-1,124211,500433,-1,65900,-1,961700,-1,-1,607538,192930,458547,-1,702790,434135,896117,611513,255547,824932,-1,962722,-1,-1,-1,-1,-1,-1,-1,222342,-1,216176,-1,-1,180569,-1,910926,816530,971327,-1,-1,-1,-1,-1,-1,950761,-1,-1,845458,-1,-1,693272,-1,750797,55220,-1,-1,365846,267257,957505,-1,488261,531746,-1,-1,220079,-1,-1,246080,-1,-1,-1,999780,211856,-1,-1,364092,-1,-1,-1,-1,371450,-1,-1,326207,807687,113030,-1,-1,241231,794373,771532,275209,172780,-1,441064,-1,685863,-1,-1,-1,819573,-1,841092,-1,-1,-1,-1,606882,683349,813999,-1,-1,-1,-1,-1,566506,329639,270398,827466,-1,-1,-1,525901,344775,-1,-1,-1,-1,-1,-1,-1,772190,-1,952291,157629,233581,-1,-1,579823,320662,-1,705707,-1,-1,831372,-1,361957,10107,780115,179769,975864,-1,-1,-1,-1,-1,823079,948182,-1,-1,-1,-1,-1,553330,680585,744742,-1,-1,167572,770023,-1,18906,-1,573611,452033,-1,840036,296495,-1,985975,854322,567421,-1,-1,784301,-1,922968,337282,-1,-1,-1,-1,495429,-1,-1,803612,722262,118048,-1,-1,-1,-1,885467,353600,13930,-1,-1,554574,-1,183961,-1,587235,556895,837815,659060,90512,47833,966016,-1,-1,19764,-1,-1,674982,114372,-1,631326,450767,-1,-1,406727,44663,-1,988788,347041,-1,-1,-1,648550,-1,640094,832416,222213,277835,-1,-1,-1,-1,-1,-1,59497,-1,879807,-1,-1,799380,452741,285274,974983,42908,-1,593973,198267,-1,987250,-1,-1,4877,855465,595233,5365,-1,78071,701994,-1,-1,-1,-1,470301,951730,-1,754047,611905,482584,782119,-1,783303,-1,-1,91024,20639,384114,306679,-1,510897,779710,492156,918044,-1,-1,-1,-1,463058,217644,-1,539850,-1,148309,-1,-1,-1,-1,340551,766512,318254,366282,953138,593723,-1,502485,-1,936032,-1,633454,118823,-1,-1,628400,652572,-1,638761,218071,-1,-1,-1,-1,-1,93481,530905,550379,901593,510020,-1,-1,-1,527068,-1,958838,-1,-1,-1,724430,-1,162091,467091,-1,771571,848038,-1,932460,675164,-1,-1,-1,479454,222849,-1,-1,270330,898347,-1,-1,-1,-1,16028,-1,233875,-1,580363,-1,-1,906607,-1,513513,-1,-1,-1,-1,-1,688129,948080,-1,-1,-1,-1,-1,744522,483544,883316,-1,877109,218269,-1,-1,-1,-1,654360,858314,205467,56745,969377,440468,236316,-1,559958,-1,-1,-1,-1,948377,-1,-1,-1,172658,27129,-1,999782,106396,888675,-1,250126,549898,-1,-1,631983,812243,-1,192196,946125,443852,-1,839451,345899,-1,534335,201302,721763,-1,346645,24133,40691,-1,851547,-1,591249,654207,330156,739966,-1,156120,612106,130050,-1,681991,85380,-1,-1,33733,570242,-1,-1,-1,900933,162763,490569,663345,441308,513434,574023,-1,84977,-1,-1,-1,-1,-1,-1,148066,71355,939159,-1,-1,-1,818516,-1,451318,-1,-1,582764,680630,135134,581704,539202,-1,409106,-1,139380,80344,968687,-1,-1,-1,-1,942262,-1,486961,-1,-1,-1,-1,723456,406810,28889,-1,454158,944153,85684,-1,-1,-1,302170,-1,-1,-1,-1,629843,-1,951157,560015,659684,465767,-1,501847,-1,889086,-1,996725,-1,-1,722321,-1,-1,-1,-1,823806,319078,731608,-1,414647,427388,938011,792623,-1,-1,-1,-1,-1,614567,-1,-1,-1,37095,-1,22406,335374,727417,525100,205018,802794,518859,170186,243088,170853,-1,-1,-1,-1,-1,-1,-1,393102,105879,-1,940072,33836,-1,-1,-1,-1,-1,26170,175081,-1,199002,-1,-1,-1,850541,682913,-1,954120,-1,613496,709786,819929,132786,-1,-1,-1,-1,-1,244564,-1,152644,-1,727523,-1,906736,445819,-1,677415,-1,31765,-1,886278,51810,-1,-1,222376,-1,990709,908237,-1,630101,68489,858367,-1,-1,307370,800774,577102,221572,468709,66441,-1,693206,260017,-1,451952,849622,-1,-1,-1,112954,-1,155765,912392,415457,-1,-1,165394,-1,188140,-1,950118,493039,503764,-1,-1,623475,259750,848372,652968,687258,-1,58602,694147,-1,-1,536313,843217,74261,-1,733419,-1,-1,-1,143515,681649,-1,-1,-1,363344,207629,676946,556294,-1,-1,432722,-1,730754,-1,-1,-1,861608,919253,-1,157433,302109,-1,-1,142894,378903,761517,574897,-1,670703,-1,410027,-1,758430,-1,-1,325041,306188,998122,-1,792684,115439,314669,676947,-1,468464,-1,-1,-1,421925,-1,-1,662690,-1,-1,677606,-1,-1,-1,-1,565043,439488,318096,229892,-1,632042,345879,830930,-1,943222,864872,939449,33745,-1,539416,24525,-1,253750,-1,357022,-1,863417,-1,-1,-1,-1,-1,571381,433503,-1,-1,-1,-1,381007,699233,683014,-1,-1,760311,-1,172573,-1,-1,81962,112774,-1,-1,764363,108970,583143,358971,143600,274195,90214,-1,-1,-1,-1,-1,-1,-1,-1,373432,82590,-1,474649,-1,-1,290954,-1,621227,963649,478918,-1,420542,831456,763804,214439,-1,-1,-1,-1,775122,-1,360064,726626,793690,-1,383070,889088,-1,-1,-1,-1,-1,-1,281852,520534,-1,595021,-1,-1,321453,60207,-1,448787,327152,-1,-1,-1,879818,-1,-1,590920,-1,-1,-1,-1,184794,-1,-1,563786,-1,-1,282865,-1,-1,-1,675513,588953,-1,-1,285525,632182,356955,199480,452896,809848,-1,-1,924121,645816,763149,-1,-1,-1,396739,-1,-1,210440,-1,415889,-1,-1,87521,228820,-1,-1,-1,342157,-1,-1,-1,-1,-1,-1,926705,-1,-1,-1,-1,89015,-1,-1,-1,526502,52195,-1,-1,709048,854511,633634,566442,-1,-1,-1,735732,-1,-1,-1,559019,-1,-1,-1,-1,314924,292187,229045,118630,-1,-1,701649,432948,-1,720645,-1,-1,763951,-1,128584,-1,-1,822895,939479,-1,-1,15765,1160,483327,947335,-1,-1,-1,830328,406477,668374,757558,515602,75973,-1,625569,993105,415281,185218,-1,-1,-1,323404,39264,913451,951377,620503,913290,611961,242506,394083,-1,-1,455017,382583,949351,-1,-1,105486,-1,764521,86909,-1,-1,555191,355169,559959,-1,35757,436587,-1,609886,-1,421649,-1,-1,-1,573219,-1,309888,-1,-1,740303,-1,675427,940350,533170,-1,-1,-1,-1,-1,688407,159408,-1,462346,763229,588998,74235,47035,-1,780859,-1,-1,514272,-1,-1,938900,-1,-1,507481,-1,443280,349662,416827,-1,-1,-1,-1,-1,-1,-1,-1,38603,634545,-1,726346,734996,333000,355077,229850,353881,-1,415825,-1,-1,-1,178909,284560,-1,857460,921805,-1,-1,-1,516519,-1,52346,-1,401349,213793,-1,85647,-1,-1,669891,357215,-1,-1,-1,357926,473859,-1,-1,727919,16213,316084,709497,-1,711441,453643,99589,678403,-1,-1,-1,272562,530170,755262,-1,-1,10757,-1,156000,-1,647542,730809,583681,197387,-1,200225,-1,-1,582448,297127,-1,-1,164059,143665,931241,-1,-1,422423,377842,-1,-1,596274,395127,-1,-1,191236,-1,-1,-1,600297,-1,252885,141147,-1,-1,-1,-1,-1,465995,911378,756201,-1,-1,-1,959440,-1,-1,659453,-1,189558,671570,-1,191702,460266,-1,464523,149977,-1,-1,-1,-1,367831,914181,128065,390525,53160,224990,-1,-1,972586,-1,530218,-1,223373,-1,825015,-1,514613,943136,1774,-1,464411,815691,424369,-1,272775,989858,-1,-1,2127,187295,365957,194919,-1,-1,-1,319820,182889,213476,723426,853822,883116,280754,-1,-1,-1,105694,577605,-1,31101,-1,-1,-1,889584,487583,645132,268435,-1,-1,400199,715289,443337,116864,528377,-1,-1,861989,425499,-1,159426,502565,-1,-1,-1,-1,-1,299852,505059,966054,-1,-1,757497,-1,990818,139385,-1,832381,-1,100326,-1,803951,111177,-1,-1,137410,-1,-1,-1,-1,-1,-1,604286,93377,-1,-1,-1,185941,222962,-1,-1,-1,156505,-1,28892,631946,956425,-1,836130,-1,598011,695823,-1,792665,-1,-1,176980,679609,270632,-1,-1,-1,-1,671003,-1,759631,766121,-1,-1,-1,894788,660510,767817,-1,-1,-1,-1,407764,250505,929258,-1,881507,-1,-1,-1,-1,816130,657341,857165,394665,-1,324277,176326,-1,-1,530106,767526,593453,347062,439145,845813,730438,153606,-1,351239,91912,3856,843844,-1,-1,-1,-1,184671,732819,178835,-1,-1,183473,-1,-1,362253,-1,541722,-1,705284,-1,511103,-1,387789,296575,-1,-1,-1,128559,247996,733123,243235,-1,356650,-1,379031,-1,262888,776410,79737,183570,345383,-1,-1,918157,949911,-1,-1,350738,-1,245390,-1,-1,520388,216658,-1,-1,-1,-1,-1,-1,-1,-1,-1,667723,-1,-1,645136,-1,-1,-1,764013,-1,3387,-1,557631,-1,-1,-1,66038,-1,904005,-1,-1,-1,545023,483496,-1,478306,-1,-1,7024,195544,615831,385551,614768,-1,473671,549781,-1,-1,196412,-1,-1,-1,-1,970268,44084,-1,931688,626151,634142,-1,223598,205403,-1,341381,59889,617634,-1,-1,930974,904011,74918,424507,985158,-1,-1,591628,-1,-1,-1,-1,733750,-1,292966,-1,783248,631879,-1,-1,589949,-1,24187,-1,-1,-1,893813,7490,756600,397276,-1,514403,-1,484515,-1,-1,-1,499249,-1,587243,-1,720567,-1,371851,564487,-1,-1,223658,-1,-1,373912,-1,-1,-1,696682,597479,-1,-1,-1,-1,-1,749157,-1,-1,-1,381790,-1,864838,972391,80700,-1,-1,-1,-1,686024,-1,-1,-1,-1,24227,-1,-1,118873,-1,289646,-1,-1,658684,151857,153328,765800,-1,233507,695301,-1,784041,-1,-1,890778,72286,370932,-1,-1,-1,-1,751930,-1,431704,303256,-1,-1,557353,197106,304994,967409,912414,559903,657008,-1,423566,-1,834841,-1,588274,-1,-1,-1,-1,782684,-1,-1,744631,-1,394502,-1,141617,861000,-1,336187,-1,-1,-1,-1,351944,256707,54399,696995,123280,-1,527965,435033,692919,292478,-1,520574,-1,-1,-1,-1,853221,-1,-1,431648,717381,53815,-1,498293,-1,397843,-1,180814,-1,-1,542437,707113,658559,120792,595393,-1,-1,-1,687272,935135,-1,636856,-1,-1,62557,170440,536495,644358,-1,-1,-1,-1,-1,-1,427754,771688,-1,889106,427174,-1,-1,-1,576759,-1,-1,-1,744669,-1,-1,396704,-1,166752,324304,958237,-1,554407,538214,-1,-1,-1,-1,-1,622477,269500,-1,545779,520368,424940,309466,845115,-1,936982,860310,-1,164742,648441,-1,-1,175608,-1,-1,-1,472964,636538,403638,254167,-1,406437,-1,-1,-1,-1,-1,-1,950175,-1,-1,-1,105604,38204,-1,-1,284276,560385,-1,-1,-1,-1,786277,-1,516510,-1,-1,331303,237705,-1,-1,-1,-1,98205,824072,280191,490681,40941,243343,324645,273626,-1,280228,-1,-1,532280,609398,-1,791747,312797,-1,816905,-1,-1,-1,-1,555529,803465,-1,-1,-1,528608,625911,922547,192465,259784,374925,276870,-1,-1,268442,4892,-1,-1,182759,-1,17796,-1,37092,457646,-1,705843,-1,929146,-1,135811,95062,761414,678807,438884,767641,-1,-1,466770,791938,174294,918193,-1,80630,-1,23987,498346,-1,-1,-1,-1,-1,-1,292169,345914,824558,-1,814199,-1,-1,822042,-1,-1,-1,51851,-1,391122,440043,867390,759636,905351,835922,-1,-1,506405,-1,537056,860290,-1,-1,-1,679045,676777,386889,394447,-1,492403,-1,856180,-1,-1,-1,731857,-1,332510,-1,-1,-1,-1,518017,741927,-1,-1,972646,170676,-1,209718,683903,-1,-1,-1,-1,-1,-1,-1,138042,-1,-1,-1,-1,-1,65874,-1,245835,-1,936754,554118,792335,-1,-1,670259,62869,-1,715571,-1,-1,-1,388127,618475,-1,46550,774888,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,821864,83529,-1,-1,976805,301452,-1,14957,-1,644859,-1,-1,-1,-1,-1,535534,446407,-1,649955,-1,384531,384138,747036,-1,489906,310703,299780,-1,996888,-1,-1,-1,-1,-1,511109,316290,-1,-1,156224,219821,405218,386645,-1,737032,839213,-1,-1,204663,-1,-1,-1,-1,428970,-1,-1,-1,187924,188868,-1,941725,-1,949867,-1,719069,-1,-1,-1,-1,-1,-1,332091,-1,28020,-1,291363,386610,443765,877698,865862,-1,-1,-1,370797,944489,392050,463332,-1,-1,269844,6846,-1,-1,45876,-1,-1,592002,-1,-1,701618,-1,-1,983428,-1,-1,997918,680232,-1,906676,89073,752887,-1,967597,587609,51051,712370,-1,-1,-1,694841,78670,180319,-1,-1,-1,-1,-1,538503,-1,-1,952260,-1,388117,-1,157332,604128,833659,-1,981936,-1,-1,-1,859277,818886,-1,819792,5904,-1,572487,481542,906390,-1,-1,-1,103001,-1,839882,358988,-1,-1,743661,373864,742175,25346,-1,602991,-1,-1,888263,-1,649318,-1,-1,548174,141389,479577,158334,787037,321887,405216,-1,291584,116070,89759,540684,660078,-1,-1,-1,125243,-1,776739,769516,-1,-1,-1,360453,-1,330029,-1,-1,-1,-1,-1,-1,970351,-1,831968,-1,118696,276452,410335,-1,562596,-1,-1,-1,-1,-1,585830,675706,214862,224717,640539,-1,-1,789504,805392,-1,-1,638540,-1,-1,313285,-1,854954,35578,535248,-1,72459,851405,709607,149337,-1,-1,698091,87171,-1,-1,-1,-1,-1,-1,-1,-1,963408,-1,130396,73176,-1,273166,-1,-1,-1,-1,673419,390434,-1,658774,697420,-1,756509,666779,-1,-1,-1,104694,68147,-1,-1,-1,905324,183542,129879,-1,983398,-1,42306,881544,516320,994465,-1,-1,573097,-1,327044,-1,912567,20167,212379,-1,31558,-1,-1,-1,69505,-1,-1,-1,442401,703669,498040,777889,104252,-1,686986,190625,929568,-1,912455,-1,-1,-1,839610,-1,973454,391722,-1,-1,-1,156202,213030,124241,-1,594527,962568,-1,-1,-1,391488,749784,-1,174780,461584,-1,528651,398908,768955,284623,-1,528820,6211,290882,-1,-1,578911,359161,-1,-1,-1,-1,423817,-1,757100,-1,620853,-1,-1,323140,-1,-1,-1,-1,-1,-1,900241,-1,-1,-1,-1,806451,-1,29195,-1,-1,-1,105397,655572,970535,-1,-1,-1,107012,420052,249894,-1,-1,352427,-1,76426,737151,-1,-1,619005,154870,891434,364474,779637,-1,-1,-1,909972,882268,286748,595252,-1,-1,808343,-1,-1,-1,-1,859237,-1,276004,278773,266908,-1,-1,810977,-1,820654,146720,-1,171747,-1,-1,-1,399766,654153,787254,124923,-1,-1,669324,490167,-1,-1,717244,-1,-1,548436,-1,-1,-1,-1,742172,-1,83118,845912,-1,95633,-1,-1,489707,-1,331569,383974,387300,192575,618050,-1,121499,-1,-1,713454,666892,17399,207492,490903,-1,235262,-1,158335,-1,-1,-1,423206,-1,-1,621182,-1,666763,706007,806438,-1,-1,828270,130624,617944,-1,-1,836919,333110,828049,769363,-1,921360,-1,414098,180534,-1,-1,-1,-1,744888,-1,245630,-1,-1,516436,-1,285977,311505,-1,-1,-1,116527,309257,712807,-1,-1,659383,-1,324591,907757,-1,141997,-1,-1,469126,-1,946180,136067,984685,841549,-1,564683,-1,-1,-1,-1,708034,356821,-1,-1,-1,802906,-1,-1,346002,-1,806302,931856,92227,773455,345952,-1,-1,-1,875666,559225,434844,933716,-1,-1,863233,-1,-1,-1,-1,379543,-1,337415,552528,818412,422614,-1,-1,590781,-1,-1,-1,-1,-1,710185,736633,491940,-1,549743,-1,382454,761100,443971,535247,-1,-1,35239,-1,28180,616723,-1,522107,-1,-1,-1,-1,646104,387248,-1,52897,725870,-1,-1,736462,903811,-1,240600,566195,523914,969390,-1,-1,581036,-1,562362,-1,942872,407679,85919,858681,-1,647449,692791,681391,-1,-1,-1,-1,154450,891936,-1,-1,491734,830821,112057,-1,446209,216188,-1,-1,723825,-1,220312,528859,85185,505634,266661,-1,-1,591007,-1,69283,-1,-1,-1,-1,-1,437342,312589,-1,920765,-1,-1,-1,371111,-1,989689,-1,722325,724375,-1,449505,-1,-1,-1,-1,3840,509072,-1,530525,-1,604669,454506,448441,-1,-1,-1,320010,-1,826066,-1,14524,-1,200487,931487,12409,-1,446609,-1,949980,611180,39811,642220,45398,-1,-1,-1,196052,-1,48881,-1,635523,-1,-1,990102,-1,820161,402536,-1,-1,-1,-1,697670,981180,-1,-1,323657,-1,-1,182956,753254,-1,462606,-1,-1,-1,-1,-1,-1,-1,-1,-1,558841,653742,577962,-1,-1,-1,-1,678059,-1,750234,974257,-1,-1,-1,562965,-1,457223,536655,79804,828573,-1,-1,-1,-1,-1,-1,-1,622801,-1,-1,-1,-1,630276,324524,-1,-1,-1,-1,-1,855273,703768,-1,-1,-1,-1,-1,674448,-1,-1,266920,351673,891141,-1,-1,-1,-1,256938,-1,329774,250785,539491,772766,-1,645895,373351,-1,-1,870376,-1,108289,562438,985099,-1,-1,42154,784214,114071,184989,-1,-1,-1,808482,-1,931315,-1,-1,428607,-1,141634,-1,303742,904575,-1,917918,-1,327396,2211,-1,-1,-1,932576,-1,913978,-1,120594,-1,-1,399660,-1,-1,335976,-1,965934,-1,343618,103408,747895,-1,-1,-1,625478,-1,999263,410093,512912,456955,124649,-1,314153,899011,447679,195155,-1,59222,-1,-1,-1,322872,-1,677363,250665,-1,753845,-1,-1,-1,-1,833008,607821,-1,202587,-1,-1,624529,-1,612779,429107,-1,912114,618459,-1,-1,388987,367039,-1,519964,111193,-1,-1,406770,-1,706904,-1,185798,-1,58556,771718,-1,449950,483,-1,-1,927290,287093,754853,771456,-1,539175,900958,-1,811950,-1,-1,887643,-1,-1,-1,553119,405117,806420,706684,-1,722663,372539,333447,-1,-1,-1,-1,645076,111322,250447,192820,175809,-1,499899,674693,536394,-1,-1,-1,-1,525998,131716,589069,-1,-1,71375,-1,-1,856333,-1,128228,264367,-1,459203,759710,-1,-1,-1,402771,-1,-1,268662,421869,-1,-1,166094,-1,-1,-1,432059,-1,833380,-1,640670,-1,870860,608845,-1,870611,-1,-1,-1,-1,714642,613617,328295,703113,953958,-1,-1,912807,644106,984031,-1,683849,580533,-1,430030,-1,793481,-1,991543,-1,41174,868214,143605,-1,-1,89943,-1,532287,931939,-1,-1,-1,-1,-1,5210,-1,306173,981103,-1,413175,868129,182755,65121,-1,864955,-1,401692,-1,385619,250441,-1,-1,714892,-1,-1,453438,555393,-1,382842,891393,-1,-1,637110,-1,-1,-1,124004,-1,474237,-1,-1,-1,-1,170498,844257,-1,422715,-1,559976,-1,-1,835878,-1,-1,-1,748070,228390,22079,976433,-1,404408,-1,-1,-1,-1,386327,364955,694751,865945,489622,402650,956218,391347,-1,164200,-1,956080,-1,880772,22715,-1,-1,-1,996315,13016,203109,760018,692962,-1,639527,-1,-1,-1,128630,211593,974863,229549,-1,-1,-1,-1,-1,-1,546371,781542,-1,105328,380952,-1,963327,-1,194944,112420,-1,-1,409001,-1,-1,-1,76432,-1,-1,475579,-1,-1,-1,174936,57064,327235,-1,584769,-1,464449,18568,-1,530233,407861,-1,-1,416307,-1,-1,187133,-1,626244,-1,-1,406095,352853,54093,-1,22543,-1,-1,841209,800362,-1,18500,167741,-1,-1,798934,731594,-1,-1,193815,-1,191931,771233,-1,-1,-1,-1,-1,327573,-1,-1,568146,575361,-1,-1,224193,-1,-1,-1,-1,-1,533533,240634,155498,-1,-1,-1,-1,-1,-1,839204,682206,-1,901480,-1,939381,689783,935981,94459,-1,-1,-1,546913,-1,366262,-1,-1,-1,445010,104737,-1,-1,722331,765368,-1,-1,-1,774450,64236,698299,-1,221596,-1,-1,192282,269544,-1,344093,161882,247348,604002,206510,-1,-1,-1,725914,76862,426030,226589,651994,6713,93848,-1,697620,561055,263114,879988,914268,378274,-1,418110,859903,163791,200505,-1,-1,589962,916885,700661,458791,617311,-1,775561,916657,236031,-1,-1,-1,-1,698037,572540,756981,-1,463499,-1,-1,441030,731141,540127,-1,-1,335960,-1,-1,417344,688671,919774,617167,89263,814812,-1,145804,105620,603820,-1,-1,-1,395973,-1,-1,-1,-1,426050,-1,58771,-1,638133,-1,-1,-1,961186,-1,-1,-1,524777,-1,-1,-1,659654,594118,-1,-1,802371,-1,-1,-1,-1,295738,892199,-1,-1,390463,836665,-1,-1,-1,-1,-1,-1,-1,-1,120090,-1,943032,701549,-1,-1,-1,487764,139347,-1,732685,-1,-1,-1,209651,858680,986143,-1,466344,-1,509147,-1,-1,-1,-1,-1,425655,513155,-1,-1,-1,238150,-1,-1,-1,843430,-1,-1,398553,-1,-1,471075,-1,928827,812534,302754,409177,202334,46418,544259,-1,-1,-1,753818,839333,26360,-1,778356,-1,453273,765001,-1,101461,888814,476737,-1,232708,748814,814764,-1,3438,-1,490263,202799,-1,-1,686774,-1,389585,-1,4128,-1,-1,-1,-1,-1,-1,842527,-1,-1,504840,754448,649012,-1,-1,-1,-1,-1,302256,-1,-1,110668,617545,838709,-1,165116,612664,452333,-1,14298,-1,-1,-1,-1,-1,-1,-1,755502,710211,-1,193024,388388,-1,100075,904637,309691,230318,82446,642144,543623,-1,716800,-1,485405,325426,363387,-1,-1,317161,-1,163733,552050,-1,-1,309533,-1,679902,-1,824605,-1,689634,177872,-1,-1,-1,723250,634981,-1,-1,-1,575630,-1,506984,93221,-1,725426,-1,-1,-1,419266,-1,975756,-1,59574,-1,-1,-1,843042,686045,-1,-1,-1,158381,-1,-1,299164,382347,565873,-1,413856,512747,958873,644709,94595,-1,-1,-1,279427,838181,-1,288101,247077,732361,-1,-1,218168,-1,-1,791319,597898,796635,941446,650779,67775,541645,-1,-1,-1,384947,799593,849062,-1,-1,501489,-1,-1,-1,903340,-1,400183,424262,-1,503552,-1,675669,854303,-1,-1,411032,-1,-1,873389,-1,5850,689625,-1,-1,539120,934225,709014,113329,760961,523124,-1,755517,492994,668755,-1,-1,-1,226711,788632,579754,422878,-1,-1,-1,-1,631864,588506,341653,514893,808777,-1,-1,-1,-1,882025,608670,832835,-1,-1,-1,-1,-1,-1,572869,-1,-1,-1,-1,-1,-1,290152,-1,647554,753829,-1,-1,381859,-1,-1,542829,-1,-1,-1,-1,925076,234485,491720,939083,147512,-1,-1,780021,-1,288745,-1,-1,718643,-1,836836,-1,140667,226463,434276,7141,896377,357129,-1,-1,-1,-1,341461,523061,118973,408544,58738,-1,181523,-1,-1,858909,781107,142070,-1,230740,812669,-1,861356,928930,-1,-1,-1,-1,-1,-1,-1,-1,195025,897199,76915,118602,206755,-1,520643,517157,-1,-1,554364,-1,-1,805174,236657,188229,375466,-1,839580,-1,-1,912120,-1,-1,250714,-1,-1,-1,10123,-1,236399,-1,923019,824508,883322,644541,-1,730387,-1,623250,476035,455409,561459,536058,-1,-1,-1,-1,947802,-1,-1,337436,-1,-1,607170,-1,-1,-1,-1,126062,-1,-1,932467,490700,-1,316283,-1,371597,469052,389391,349253,-1,550148,869183,-1,-1,656048,-1,-1,-1,-1,-1,481604,-1,-1,-1,603149,981367,373659,375213,-1,150213,573638,863768,-1,781607,-1,866884,-1,-1,-1,-1,-1,-1,325186,208110,167628,-1,-1,-1,-1,-1,-1,641082,-1,-1,-1,-1,65374,284423,917282,993880,-1,-1,-1,-1,668258,-1,-1,-1,-1,-1,64783,790819,-1,562615,752557,755737,861284,201344,508997,699279,662554,335980,-1,-1,521165,-1,754872,-1,-1,-1,513625,831096,43484,-1,929368,380201,-1,259442,-1,-1,196180,31519,-1,-1,959776,128264,-1,289687,666121,-1,543457,-1,937429,-1,691307,-1,1006,-1,-1,61201,-1,642775,-1,709771,793995,-1,960100,-1,-1,731051,975602,926230,-1,837590,-1,-1,-1,611789,-1,256785,119121,529387,-1,414558,164470,-1,663342,285488,-1,-1,-1,-1,853775,340996,-1,65661,507406,662045,959501,127092,-1,-1,536023,-1,-1,743777,218713,-1,-1,-1,-1,-1,-1,-1,643078,-1,-1,-1,-1,85572,-1,-1,909771,-1,-1,925218,-1,-1,-1,898170,-1,460145,-1,908360,-1,-1,927636,-1,-1,148103,938775,-1,448963,840444,-1,-1,-1,680327,-1,330924,-1,176969,-1,-1,-1,17302,384608,443786,768424,446523,516982,-1,871670,-1,871632,245561,960953,144022,-1,-1,-1,226433,-1,-1,980150,784633,-1,209774,-1,786700,169056,742220,-1,-1,-1,-1,-1,21111,-1,-1,99050,-1,110811,914753,-1,577760,195893,198387,412294,-1,-1,377766,758250,620712,476037,622911,333476,840158,-1,-1,-1,661772,-1,270627,-1,269898,136403,625056,-1,-1,-1,-1,-1,728234,232859,944401,661277,398692,949663,-1,896872,20502,-1,256374,-1,-1,182516,830334,-1,502174,-1,964287,-1,822852,-1,-1,153062,567853,840919,-1,-1,-1,-1,978448,906671,142640,-1,1425,696816,-1,-1,913883,-1,-1,-1,-1,90568,853606,762108,205210,755172,741659,106291,-1,832513,-1,771238,890175,202467,912965,-1,-1,566669,820887,-1,-1,469311,-1,229897,-1,-1,-1,-1,-1,-1,456209,-1,423131,-1,798791,-1,914147,-1,889732,-1,26721,265652,-1,-1,252166,810181,-1,225996,-1,954526,-1,-1,-1,-1,-1,-1,605655,396791,276307,920693,-1,78696,-1,-1,180649,-1,603279,789592,254202,-1,-1,706245,-1,-1,-1,-1,963075,567728,605675,-1,-1,-1,-1,654240,374740,-1,159242,-1,735225,733374,-1,832932,-1,826090,-1,390409,-1,-1,-1,-1,855859,-1,-1,-1,363296,-1,584996,895283,-1,-1,264684,-1,975282,-1,656928,302116,-1,-1,438227,-1,791094,398186,876550,-1,-1,732052,-1,-1,794884,119781,861719,21347,-1,420504,274954,697913,442750,555561,-1,732807,-1,-1,-1,386828,-1,-1,714665,-1,-1,678983,832265,407292,-1,801119,-1,641763,-1,382124,-1,620895,-1,754421,725904,-1,29724,944095,-1,498175,853325,-1,629161,198106,-1,986423,-1,898147,906596,257980,904928,236603,731581,-1,948192,857963,-1,710524,459882,593020,-1,-1,-1,501992,-1,742300,604712,48722,-1,-1,974202,613217,-1,-1,-1,-1,176888,-1,420089,814541,889970,-1,981400,672378,551529,-1,-1,-1,-1,-1,683997,410223,-1,415476,281533,-1,-1,-1,258160,543169,860968,849456,712717,-1,752738,-1,-1,-1,21949,-1,910518,-1,-1,-1,-1,-1,210436,-1,887573,284245,-1,-1,-1,881623,154221,228728,45549,185019,-1,-1,832182,829727,125313,895488,46472,600764,984633,-1,-1,673792,-1,-1,253185,742933,-1,610670,400935,-1,-1,642381,-1,-1,-1,-1,522542,169694,374552,185448,817121,-1,822141,-1,-1,-1,-1,-1,-1,902657,-1,-1,123721,-1,692839,-1,-1,-1,-1,-1,-1,-1,-1,147565,756704,-1,-1,234127,331398,700408,919231,-1,560504,-1,-1,-1,-1,771955,-1,330464,66401,-1,-1,619526,-1,-1,-1,507088,-1,-1,336437,-1,229935,-1,-1,88623,-1,-1,309984,657979,655199,-1,370829,175439,721950,-1,26682,-1,163144,20730,974227,-1,-1,378166,509819,234313,-1,-1,-1,-1,-1,977544,-1,-1,648982,279202,336841,-1,377567,-1,-1,271923,55415,-1,503870,-1,-1,-1,939015,750222,505632,-1,-1,178302,-1,125506,47872,612275,-1,473112,-1,-1,-1,7635,145607,-1,-1,983393,-1,-1,-1,164449,-1,-1,-1,-1,-1,-1,197650,-1,404496,825263,-1,-1,-1,-1,-1,-1,713310,-1,-1,-1,889472,843578,-1,-1,847413,-1,-1,-1,-1,989681,931102,-1,-1,-1,304724,-1,-1,-1,368390,-1,71048,595808,-1,853302,-1,143036,-1,-1,156789,865229,691687,708190,795564,951592,-1,-1,236977,877672,394648,-1,637881,658971,-1,50530,780556,-1,637161,1908,-1,-1,-1,-1,-1,75750,596144,135416,563462,-1,-1,-1,-1,210895,-1,-1,-1,850413,997913,502114,-1,446082,140174,-1,753772,-1,329253,-1,-1,-1,-1,867379,295196,102615,-1,172195,794375,-1,759587,484831,-1,-1,-1,-1,328400,97923,285117,-1,417150,-1,904571,-1,251552,534429,-1,-1,-1,-1,13519,913291,789020,-1,-1,801169,-1,-1,273502,262078,404693,788464,570351,725055,-1,-1,-1,192361,664328,-1,-1,477372,717566,465970,340779,-1,895034,379624,-1,856022,-1,741461,-1,134777,350790,-1,673068,-1,-1,-1,-1,-1,805274,-1,-1,770222,-1,-1,-1,-1,879950,-1,971184,36133,539314,181745,121614,-1,-1,-1,998932,-1,649414,27484,-1,-1,-1,-1,-1,-1,870095,-1,267633,810959,-1,881607,-1,-1,980556,-1,8667,-1,534776,-1,-1,-1,689752,-1,227236,-1,-1,935128,461159,-1,436971,65104,57993,-1,518490,-1,-1,-1,379953,483566,601218,150053,372634,-1,-1,-1,-1,-1,52644,505536,-1,685959,-1,-1,763360,-1,679425,-1,969679,342167,290252,633192,-1,311303,645792,-1,-1,-1,-1,-1,120363,421530,-1,-1,829558,123538,1517,-1,708035,-1,718259,-1,-1,-1,3138,271527,-1,116377,251177,94424,926495,-1,-1,-1,309524,856084,-1,919326,518328,-1,817244,-1,-1,228216,998090,801635,-1,401937,-1,-1,344135,332701,-1,-1,-1,991703,-1,360694,717656,-1,-1,450147,671698,122522,-1,-1,-1,218608,939436,445777,115915,-1,350744,840149,45129,-1,914210,577755,804413,597185,925212,296797,142852,602544,-1,-1,662207,136450,169460,-1,-1,564286,-1,-1,-1,-1,-1,578394,307708,573105,919991,-1,-1,477765,465000,-1,687940,334640,721057,774183,705702,979995,-1,-1,-1,-1,393588,-1,109715,-1,627795,711718,-1,-1,353878,539870,740693,-1,-1,-1,-1,35601,-1,-1,304483,432187,-1,-1,24330,-1,-1,187468,-1,-1,966033,-1,775695,-1,-1,778311,-1,123337,-1,-1,563119,594199,96225,357148,206694,279249,742366,946458,-1,-1,946107,-1,-1,-1,-1,519887,486100,-1,156711,-1,-1,319866,-1,-1,-1,-1,-1,533888,-1,-1,539778,353225,648287,198084,971757,311907,-1,-1,-1,888568,709959,-1,-1,-1,-1,374451,-1,885497,342563,815563,503586,820936,878198,-1,-1,516481,-1,913483,-1,847577,228247,-1,-1,-1,817237,572525,940330,742133,-1,800934,585733,688181,-1,-1,-1,683511,293568,545484,401383,-1,-1,-1,415130,54812,519578,604556,319436,137603,44080,-1,-1,-1,363893,-1,668484,534636,-1,189539,-1,-1,-1,660795,-1,776995,-1,-1,-1,-1,444553,-1,-1,-1,-1,760831,779004,-1,884220,-1,-1,-1,-1,419883,755830,458781,962092,-1,792824,-1,582915,-1,-1,-1,636706,-1,415963,876307,-1,836737,839672,779629,465238,892588,555110,-1,352172,-1,-1,-1,-1,-1,661046,672777,-1,338713,-1,238084,510809,-1,-1,393519,2785,-1,896936,-1,-1,670961,-1,935668,764277,-1,-1,714735,-1,-1,982200,-1,822682,-1,-1,-1,-1,250541,-1,902757,321854,944373,-1,322851,-1,-1,835349,-1,778700,229837,435189,-1,255062,342738,-1,-1,-1,-1,-1,-1,-1,777391,876925,-1,817475,-1,-1,998724,953370,712688,-1,-1,133282,822361,464536,-1,807321,-1,707750,410952,222625,608464,865426,180924,936207,390444,-1,-1,-1,-1,-1,367598,45627,-1,-1,-1,-1,-1,256336,812356,839590,349523,770473,-1,728989,-1,-1,270521,-1,-1,-1,547960,-1,96866,-1,582033,92868,-1,998631,762417,-1,504540,347281,-1,697328,515064,-1,414469,568936,883243,-1,-1,-1,-1,-1,-1,332682,-1,-1,549227,359391,942526,-1,220962,766481,-1,-1,-1,-1,-1,-1,4360,-1,-1,457849,-1,296945,20602,-1,-1,-1,34417,-1,-1,-1,592627,468577,874270,-1,-1,789380,129544,-1,-1,167338,-1,-1,604573,-1,-1,-1,-1,-1,-1,-1,-1,710159,-1,423416,-1,-1,870825,783759,505954,-1,-1,-1,961928,777387,548879,803583,216752,-1,787833,518524,-1,-1,-1,823630,159571,612285,-1,128277,-1,-1,309521,-1,198087,-1,-1,431753,-1,-1,206214,894043,-1,-1,-1,485571,274950,427844,712206,684066,-1,-1,-1,-1,791780,1402,16216,-1,806871,-1,260322,-1,-1,-1,356300,-1,246570,-1,-1,-1,-1,-1,-1,24350,-1,-1,161717,-1,-1,-1,-1,-1,-1,-1,299345,-1,-1,740256,-1,567628,176927,-1,604012,-1,-1,-1,548572,305914,-1,-1,353247,-1,235759,723043,-1,-1,725549,-1,937788,-1,-1,-1,910238,568319,-1,-1,-1,-1,5571,928016,-1,-1,565810,-1,-1,664187,109626,-1,-1,-1,-1,-1,857412,-1,265997,-1,-1,524865,-1,-1,-1,526342,-1,398284,677382,186318,-1,-1,269348,-1,-1,265177,-1,-1,-1,958581,-1,-1,601403,488778,763528,-1,-1,-1,-1,997482,-1,-1,-1,462141,-1,-1,80273,-1,928738,-1,-1,-1,688973,-1,-1,351433,-1,16232,-1,-1,530048,115036,52656,-1,-1,-1,-1,188441,-1,520564,550277,116141,727630,450184,790608,948846,264,-1,-1,-1,684654,-1,25933,-1,547036,11757,741991,-1,-1,29715,-1,230658,-1,-1,553512,-1,373497,-1,420597,430115,952624,-1,233266,-1,175344,-1,826030,-1,670838,249279,498062,-1,-1,632597,-1,42224,-1,332703,853008,-1,215558,-1,844133,-1,-1,766605,155002,-1,205055,-1,129928,-1,813507,813187,-1,-1,-1,312942,-1,-1,818307,-1,-1,537780,524932,-1,847484,-1,-1,-1,-1,272825,494246,-1,550627,-1,-1,333183,-1,403396,-1,-1,607153,-1,149366,-1,537185,725086,6268,541294,460156,-1,-1,-1,484909,64210,368929,364388,-1,-1,-1,-1,77302,-1,-1,-1,871867,567384,-1,466262,380118,425755,415711,-1,581730,422289,977593,778212,-1,416028,681985,-1,-1,-1,39147,-1,777803,22222,62480,-1,-1,44994,135320,551400,-1,731018,773481,-1,229869,857013,-1,230797,878650,-1,-1,7029,-1,644599,808201,300379,-1,401724,-1,-1,934084,128361,-1,398880,-1,-1,520844,-1,61560,372207,355658,498046,-1,-1,-1,-1,958525,465150,-1,431484,914898,-1,318363,-1,298735,530578,-1,420788,751335,-1,-1,-1,-1,440322,-1,13081,22520,-1,-1,408233,-1,-1,-1,-1,-1,975764,214331,-1,-1,485624,157300,-1,-1,-1,-1,-1,-1,380673,-1,-1,560715,-1,611532,115537,505113,-1,-1,-1,-1,-1,-1,-1,-1,306285,152858,815275,-1,606279,23508,-1,731576,294400,41049,-1,565420,522973,-1,-1,-1,-1,-1,-1,430834,395678,-1,-1,81604,551915,364421,532164,689671,-1,-1,-1,338273,499643,426892,420348,-1,865567,-1,166707,-1,-1,-1,168114,234213,-1,-1,681086,223590,579563,222200,406695,-1,692012,784528,783448,-1,310249,693913,83829,634616,-1,-1,71364,903135,61773,331971,-1,931573,-1,685807,-1,-1,-1,-1,-1,-1,573170,-1,946371,324228,-1,396151,335634,304039,535774,935294,-1,409629,677730,-1,416105,311364,-1,427056,-1,179859,-1,876326,-1,370366,889926,947789,-1,317546,141647,63090,-1,-1,-1,-1,838983,-1,-1,-1,-1,585350,702997,-1,-1,167211,-1,796443,718684,705534,-1,814465,409826,412610,-1,-1,592493,-1,-1,774066,-1,-1,-1,-1,-1,445018,-1,-1,-1,-1,136527,471935,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,937196,762087,-1,-1,195646,131543,786338,533548,386387,218666,262860,637435,-1,-1,-1,449851,-1,738348,507052,-1,-1,-1,120118,-1,-1,-1,-1,835538,953659,858877,-1,-1,214841,-1,404445,997796,328137,-1,-1,-1,-1,-1,-1,-1,57322,186643,-1,463573,935698,472035,-1,25794,553586,334161,-1,-1,-1,502134,874421,577118,-1,-1,-1,744090,517367,89691,199076,919332,-1,434600,401818,-1,-1,-1,-1,-1,-1,980826,-1,55290,880246,918625,287868,-1,521684,216268,539613,-1,94912,-1,857349,418858,-1,-1,82270,-1,548859,-1,-1,547450,-1,773788,854709,-1,805713,-1,904056,122315,-1,677632,-1,-1,-1,405503,130049,12008,-1,877532,35218,29474,-1,175688,-1,-1,711079,-1,-1,-1,-1,-1,47458,-1,-1,-1,-1,-1,620062,117015,-1,-1,102472,-1,404104,-1,-1,-1,110603,83425,448667,-1,-1,97513,-1,-1,23936,-1,-1,-1,551221,617608,-1,-1,44275,748948,-1,-1,693619,934444,877288,-1,-1,16036,-1,-1,452810,-1,-1,79010,-1,280805,-1,604818,-1,-1,-1,-1,696198,563606,755065,633413,-1,-1,-1,240140,357157,688234,-1,-1,291726,60811,-1,331625,843095,-1,-1,-1,-1,-1,-1,487852,-1,516713,749990,811114,355720,-1,-1,790316,723804,-1,-1,637898,108947,174256,236775,387404,-1,-1,-1,162145,-1,-1,241659,77244,-1,-1,579837,-1,-1,873978,625141,-1,-1,-1,-1,-1,-1,900609,-1,270571,783693,-1,-1,23489,599696,-1,-1,-1,900929,44869,399672,-1,865659,533027,-1,-1,-1,-1,305169,885628,-1,-1,897766,-1,-1,694726,206906,-1,854493,924300,-1,518935,-1,167891,-1,879304,250560,404992,-1,235639,672279,-1,167505,-1,-1,375148,282340,218275,373909,-1,109236,-1,115498,-1,239933,454948,-1,203080,314952,949939,42108,296378,889298,711050,384444,379689,-1,-1,233414,721508,990295,525432,-1,-1,-1,-1,912081,-1,941105,654099,-1,167062,-1,900235,771285,170760,-1,637039,86446,380803,-1,-1,147498,666524,221652,-1,667291,536265,-1,-1,12378,-1,776047,-1,50431,-1,-1,557044,-1,-1,-1,-1,-1,599412,-1,163002,356443,250994,-1,563162,818202,282076,-1,-1,470927,212759,-1,-1,400822,25878,240231,342299,220001,660260,-1,-1,257692,735426,276569,-1,-1,380540,646412,582668,-1,-1,-1,759343,-1,570444,-1,323145,-1,-1,-1,-1,-1,-1,-1,347633,-1,-1,-1,902027,442447,-1,622323,576598,-1,-1,-1,31490,63961,-1,987416,639672,667452,594361,-1,986224,595592,-1,194693,574987,-1,-1,-1,-1,566560,795014,-1,248127,-1,-1,211287,982562,97599,693829,448173,737139,384025,318609,401139,-1,-1,-1,-1,970937,322385,685147,284651,336472,-1,209149,527658,202806,-1,-1,-1,586998,759024,287008,-1,-1,194359,497550,-1,100920,852096,515489,-1,-1,806708,-1,669477,-1,417801,-1,273988,127358,-1,-1,-1,458544,-1,-1,406517,-1,-1,808728,-1,372110,654875,-1,283642,-1,63434,-1,569464,-1,412579,917603,-1,967891,-1,525473,-1,-1,-1,-1,992037,-1,-1,852531,-1,-1,85376,824341,962989,660529,-1,-1,604539,498626,-1,101445,739839,599296,-1,100263,-1,707707,-1,-1,941510,424740,917165,-1,-1,853725,-1,-1,30489,-1,-1,-1,-1,833433,136242,-1,-1,-1,-1,-1,-1,-1,983479,-1,302978,-1,49676,489181,370101,137894,651291,-1,471933,-1,470243,-1,-1,-1,40662,883802,866252,-1,-1,19815,-1,864155,-1,940617,160745,-1,-1,-1,193946,103233,-1,545395,-1,885187,-1,131904,-1,490618,-1,404726,-1,234453,565734,542579,-1,117133,-1,979751,-1,871919,-1,438245,-1,-1,-1,-1,-1,-1,-1,-1,253897,168027,541353,-1,-1,407995,366363,-1,-1,670505,490496,33443,-1,171041,-1,-1,-1,-1,-1,-1,-1,-1,534211,-1,936993,700110,-1,-1,-1,-1,771953,-1,-1,-1,619654,-1,347465,605034,-1,415280,187496,705801,-1,209085,-1,-1,-1,205481,-1,660099,108528,29815,813057,-1,196267,-1,573103,542155,-1,-1,-1,369247,-1,-1,170041,-1,899727,-1,791389,752570,765390,-1,-1,434717,-1,101747,656411,-1,550919,606801,666381,38803,-1,187426,-1,-1,-1,-1,-1,968811,-1,916030,-1,135553,572128,-1,-1,-1,956214,666878,688459,-1,407955,-1,274367,-1,-1,294827,491128,829071,-1,201426,981304,-1,-1,-1,136431,137132,271987,661976,-1,-1,853927,46110,284632,906911,394458,-1,439763,-1,-1,45569,673004,-1,640086,469588,-1,449413,-1,-1,-1,-1,371031,260300,-1,-1,-1,-1,928329,337592,349013,-1,839380,717014,-1,-1,-1,657109,596786,400627,-1,-1,563974,-1,-1,-1,275052,-1,999103,-1,373762,135894,-1,-1,836573,-1,553772,-1,566978,-1,32093,-1,-1,-1,-1,-1,-1,187885,-1,-1,-1,-1,-1,-1,-1,189996,-1,42384,293575,802834,-1,-1,782699,924333,-1,835183,-1,-1,98634,-1,76873,-1,-1,433907,529121,591291,-1,417583,-1,212265,-1,-1,-1,246276,-1,-1,-1,828671,220387,941747,68897,-1,864258,633022,-1,-1,-1,-1,-1,690118,-1,568201,915052,-1,388602,-1,461856,-1,-1,981717,-1,-1,-1,-1,770262,91982,436319,4738,-1,-1,-1,-1,-1,816526,-1,-1,-1,895362,254394,698017,837869,-1,760265,38284,345564,921507,138541,-1,-1,-1,598865,-1,6673,-1,-1,100982,550193,-1,-1,660473,-1,885821,-1,-1,-1,771506,229235,-1,-1,-1,520509,756525,-1,720547,-1,482864,-1,190716,-1,177084,-1,-1,564136,220993,-1,-1,826815,-1,151777,-1,533461,-1,-1,-1,-1,900030,-1,953764,924611,-1,-1,497610,-1,700004,-1,-1,-1,836726,-1,-1,329955,622582,-1,646421,626264,360662,781555,-1,-1,-1,50559,-1,921395,903367,679848,-1,243133,886010,136184,-1,-1,257821,-1,156526,-1,-1,-1,-1,900071,-1,303917,348946,174834,998961,-1,234420,951491,-1,-1,-1,-1,526054,356566,372103,452904,244917,-1,490239,-1,142257,-1,892206,-1,-1,180660,-1,514325,-1,836455,316329,492935,-1,854676,304378,-1,698586,732192,768547,903425,632903,727094,-1,925859,266554,-1,592072,510743,-1,-1,299232,-1,690427,-1,472400,362759,196960,-1,600736,-1,-1,839717,-1,581671,-1,-1,-1,-1,-1,531354,-1,-1,-1,-1,-1,-1,489841,-1,-1,252460,-1,698374,-1,713241,-1,291001,582160,480198,-1,674804,-1,521816,-1,217439,561632,924297,541689,-1,541811,534681,-1,12680,-1,-1,843210,454928,366419,911743,582008,-1,-1,-1,708359,309491,385361,-1,169386,-1,-1,-1,-1,319639,-1,269915,-1,-1,-1,730831,-1,493468,47305,230055,783418,803028,-1,-1,720095,879461,635764,814701,-1,-1,76257,303736,-1,-1,-1,967237,-1,217879,-1,-1,506448,681642,-1,-1,-1,-1,502793,-1,-1,637759,-1,-1,539101,-1,-1,-1,-1,-1,-1,-1,-1,-1,887109,-1,-1,591659,240387,-1,341603,791264,-1,-1,159776,-1,-1,-1,2937,-1,-1,407314,150670,48742,466139,853956,-1,959821,-1,379639,-1,-1,150269,-1,62839,-1,897274,711459,406354,-1,-1,-1,-1,-1,281590,-1,-1,-1,684440,357125,-1,142945,-1,-1,-1,172721,925784,946363,-1,-1,129401,568157,-1,53773,-1,733041,-1,765341,-1,463840,520537,785519,-1,-1,46552,988772,-1,-1,802875,-1,-1,757518,935,-1,972035,703052,-1,-1,-1,882067,-1,753790,982569,274984,-1,785713,994741,516649,414097,-1,-1,-1,372946,282409,-1,342514,224801,-1,478845,-1,936331,-1,943343,-1,921410,661951,-1,315445,-1,357388,362296,-1,864178,958711,336759,-1,-1,-1,221933,266116,730470,-1,220182,71698,-1,-1,229606,-1,430743,-1,-1,-1,-1,-1,-1,-1,-1,787640,-1,-1,-1,98846,233010,-1,420379,-1,950533,996864,351300,845147,-1,-1,411994,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,716712,959229,664093,-1,727246,283678,-1,-1,-1,-1,831418,-1,-1,779711,-1,-1,95496,-1,473727,-1,25629,221610,437400,-1,954214,324743,-1,-1,219913,-1,454100,876930,513099,736087,-1,-1,557580,-1,144008,992885,-1,-1,880754,818442,-1,163725,-1,762315,-1,489955,-1,761138,-1,-1,877307,554743,-1,922433,-1,-1,436394,-1,-1,379589,-1,-1,567685,820598,-1,709050,106883,-1,-1,858872,266495,-1,-1,287669,-1,525609,-1,191195,515120,-1,738680,781644,-1,289066,42138,194524,-1,335804,551236,175702,255990,264999,-1,616291,712998,922614,683124,-1,-1,638132,334746,-1,776086,-1,352448,-1,-1,-1,-1,210189,-1,258203,22665,967327,-1,798812,-1,576339,810588,-1,-1,-1,659737,967037,-1,-1,641519,707583,520079,-1,-1,-1,-1,435559,172796,884298,-1,592058,-1,-1,-1,-1,320727,-1,978933,-1,496061,813568,-1,-1,651375,988002,240263,718524,-1,-1,-1,385760,-1,-1,-1,528692,653348,-1,257896,346609,-1,473379,339028,979367,63600,-1,804094,-1,326307,242369,711958,-1,871718,482842,-1,-1,749892,618297,-1,-1,235082,-1,-1,929,884131,863566,-1,296511,-1,604900,-1,74472,-1,997805,-1,555568,450664,878965,-1,-1,657801,-1,263796,913346,299198,666394,-1,-1,800696,537446,554998,379092,44540,976315,-1,656536,-1,-1,-1,-1,962120,481369,907024,-1,-1,233596,289368,541974,-1,-1,261348,575485,354842,-1,752433,92716,-1,216616,119930,-1,-1,345964,597163,15106,135275,-1,168130,-1,25853,464571,-1,316919,763896,822616,-1,610908,-1,-1,104544,591926,-1,629974,867700,698469,-1,-1,329787,579372,675282,-1,-1,-1,-1,-1,324910,379174,-1,201368,-1,796519,538204,872487,-1,323847,-1,808982,877286,137492,-1,911754,-1,944559,385208,-1,-1,-1,-1,603124,854904,787957,-1,409271,221923,924285,-1,879166,-1,-1,292102,610832,235009,560644,-1,258770,107149,794961,-1,498127,-1,-1,712256,-1,230411,911104,-1,-1,758354,682173,63040,-1,-1,-1,498216,-1,-1,303006,-1,-1,-1,47569,465460,-1,209435,-1,-1,-1,-1,969177,641854,932976,-1,-1,693486,511316,527594,-1,-1,-1,-1,-1,-1,-1,-1,-1,183506,-1,-1,332709,254308,-1,391161,213773,-1,893287,883426,-1,385994,836306,76221,212661,-1,-1,-1,456436,-1,98105,-1,232225,337591,370099,348037,730183,-1,248678,-1,-1,-1,328216,-1,-1,-1,-1,-1,-1,663880,840537,-1,-1,457895,915412,-1,147343,-1,-1,671441,236114,-1,-1,537134,-1,468893,-1,-1,751559,-1,-1,-1,880595,466085,-1,980788,77242,127609,-1,305220,644617,-1,-1,78416,-1,733159,-1,-1,-1,-1,583738,57966,-1,-1,-1,-1,105639,-1,599926,-1,-1,500611,9426,980899,-1,463529,-1,990656,824308,772456,-1,214155,413435,-1,-1,340313,-1,-1,-1,174478,-1,377196,187336,200990,603459,-1,733192,-1,-1,-1,708944,788608,-1,-1,948943,140294,617929,-1,368594,-1,472105,-1,784129,-1,-1,-1,990136,385443,-1,539959,89893,-1,256064,-1,414006,754070,-1,-1,271748,-1,126229,614814,429739,-1,-1,-1,-1,-1,-1,-1,-1,-1,105495,62038,-1,666903,-1,-1,274076,-1,-1,-1,128003,-1,684203,-1,221539,-1,800778,-1,476858,-1,575401,632700,178270,-1,583658,-1,681226,-1,-1,311745,-1,248371,-1,-1,803247,-1,-1,698257,-1,-1,143367,-1,-1,-1,41155,-1,-1,-1,844094,650346,224349,627855,103710,715190,-1,849976,-1,-1,-1,664936,713145,499170,-1,288717,862175,-1,-1,-1,713941,598012,-1,980042,507136,531469,532302,-1,-1,411440,410263,-1,783994,-1,913289,-1,-1,161280,-1,-1,-1,-1,-1,435679,-1,-1,-1,87384,712389,-1,371097,-1,822665,-1,-1,-1,-1,755229,445487,777091,-1,-1,948583,-1,-1,897547,972100,-1,100569,-1,32238,-1,773956,672687,306375,-1,707319,140406,796131,545557,866871,742207,-1,976676,-1,-1,-1,-1,-1,784543,-1,351372,3455,-1,70661,-1,751102,429866,-1,409497,358383,-1,-1,454470,886827,592282,185779,396043,863390,-1,-1,-1,-1,-1,-1,-1,438520,385293,627540,-1,434172,612225,-1,-1,298730,109298,-1,29851,380483,-1,-1,911241,165965,336474,614338,-1,151811,743940,-1,341519,-1,-1,-1,884422,143798,-1,-1,576724,-1,946219,796038,-1,-1,369007,-1,-1,-1,792240,-1,-1,851952,-1,-1,-1,-1,288356,-1,-1,-1,546709,282896,-1,-1,219126,-1,394201,-1,935094,-1,598532,-1,733114,973993,887350,-1,203338,-1,569974,198268,130462,-1,754932,742633,389701,385278,-1,374100,-1,934840,532873,-1,-1,-1,469436,93713,-1,254913,365247,-1,724226,340126,732484,-1,996551,-1,-1,-1,995207,-1,-1,766970,649674,248194,-1,917410,114509,-1,250428,905503,-1,-1,410625,-1,752604,-1,-1,722617,-1,-1,602411,48116,281778,667009,-1,-1,935543,850191,47896,-1,127862,502966,-1,-1,23429,-1,665771,-1,-1,621478,-1,-1,914447,-1,11144,-1,474408,-1,523144,-1,-1,60306,343161,255499,-1,-1,497060,-1,600604,885445,-1,-1,446211,204399,445843,-1,-1,436511,-1,366659,997394,-1,-1,-1,-1,-1,-1,-1,881235,116797,-1,-1,702469,886633,964647,983889,307769,868801,795889,-1,-1,-1,-1,508793,962296,454303,915373,-1,3039,83327,-1,-1,441878,677366,-1,-1,476273,-1,-1,416132,288595,936532,-1,-1,712242,-1,-1,367378,-1,-1,-1,284539,813377,-1,402019,-1,-1,-1,-1,-1,175273,-1,115966,-1,515852,-1,948203,-1,433989,-1,197825,343199,576873,933552,484937,252856,579743,247733,43535,-1,374890,723504,463150,-1,-1,-1,882777,76121,14426,-1,-1,-1,231341,68935,4644,-1,-1,179733,-1,870640,605790,-1,-1,3851,-1,-1,-1,937277,-1,-1,500684,-1,-1,-1,955210,-1,-1,401367,-1,755758,-1,352809,424577,358242,325947,198523,-1,-1,770171,-1,-1,-1,410690,943146,142604,-1,-1,241020,471656,950331,-1,-1,654980,-1,453727,-1,-1,-1,-1,880582,962843,470321,580814,-1,-1,-1,-1,885828,-1,511407,449926,639873,-1,855424,45742,188243,457005,491967,573746,-1,762457,386232,-1,8276,722757,-1,994101,-1,-1,337737,-1,709252,-1,-1,263790,-1,834339,-1,-1,800179,418167,766850,-1,-1,341705,563634,-1,-1,-1,916889,439806,-1,-1,-1,8416,-1,-1,-1,17970,-1,-1,-1,-1,69359,-1,196892,705264,-1,-1,270377,-1,-1,-1,-1,-1,-1,478287,-1,458640,337712,625665,-1,-1,-1,-1,582018,236737,-1,-1,668615,796970,-1,-1,632632,-1,79185,157733,47353,-1,644490,-1,-1,132575,-1,-1,299803,893440,82576,-1,-1,-1,298248,-1,783717,529056,-1,36362,871844,69780,897903,-1,751913,273290,-1,485997,-1,-1,-1,-1,-1,-1,534099,-1,200803,864165,586091,542038,41090,692907,760343,788222,-1,549680,-1,-1,-1,508561,32658,-1,567512,-1,540156,-1,341724,-1,68951,809526,-1,87360,222982,-1,-1,-1,-1,82238,-1,519380,931323,-1,269798,652153,-1,517478,343766,-1,-1,71797,512597,-1,-1,110954,-1,866370,-1,-1,-1,861078,-1,-1,256478,281545,-1,-1,510953,663637,179691,-1,244847,-1,-1,929659,-1,594614,-1,-1,-1,398709,267556,-1,-1,931862,-1,-1,449099,850444,-1,629437,-1,195195,-1,-1,-1,592064,595965,-1,-1,993944,290038,105591,142717,-1,-1,-1,-1,-1,-1,-1,4226,-1,-1,-1,918089,-1,135562,-1,271263,-1,-1,-1,724909,-1,-1,-1,704062,210622,-1,127743,-1,-1,-1,701907,287247,-1,-1,885073,622442,-1,509389,781385,208598,556195,569391,871144,-1,379189,-1,206783,194511,471566,-1,466842,-1,905949,-1,649761,-1,-1,950647,-1,569426,334267,-1,-1,-1,968939,-1,431526,-1,524670,350717,661459,-1,-1,-1,-1,33405,-1,-1,718934,758725,-1,-1,961693,888106,451252,-1,-1,-1,224618,-1,706587,120999,-1,248523,-1,665818,-1,-1,-1,924674,-1,742067,369670,-1,-1,419464,-1,709659,191851,166000,363328,615986,-1,78833,-1,424894,-1,-1,-1,-1,633183,-1,717775,-1,578393,-1,-1,663469,-1,18100,558605,311277,101631,601741,-1,-1,344983,935419,129791,739207,-1,-1,-1,-1,378890,920267,720407,193056,-1,-1,641632,-1,734331,-1,683788,-1,881822,656570,-1,349704,-1,-1,839973,630235,189425,471624,-1,-1,-1,-1,-1,-1,-1,951706,737739,-1,602753,-1,503963,-1,790632,-1,-1,353814,681859,-1,-1,258668,272250,969147,-1,-1,-1,402724,-1,310452,97600,188718,268773,-1,852462,346746,172377,230265,106017,-1,-1,-1,603502,315748,-1,356338,-1,54554,121191,-1,646594,-1,583623,117287,-1,785038,-1,-1,903839,-1,282939,-1,320931,120485,370665,-1,-1,-1,854867,166784,-1,243268,-1,-1,-1,-1,-1,190074,-1,-1,454326,168367,-1,634748,-1,-1,-1,629948,-1,920969,424700,948528,-1,-1,950539,629436,850937,-1,433477,669149,508708,966367,-1,-1,-1,301562,239162,-1,179547,-1,837602,-1,660271,-1,-1,-1,48291,844683,568654,-1,-1,312560,-1,57648,960385,-1,922338,-1,-1,-1,396527,99347,-1,-1,426061,-1,-1,91759,-1,-1,-1,170528,628710,806994,-1,95510,703634,515847,279564,974902,-1,360643,-1,879523,-1,-1,-1,-1,816123,-1,608954,-1,142864,-1,984310,-1,567360,83831,-1,292077,669555,-1,-1,-1,127177,-1,312548,-1,-1,-1,-1,109569,15371,109973,822550,817221,490319,511721,-1,-1,-1,-1,164996,536595,248216,-1,585299,-1,311135,-1,-1,328150,-1,-1,124008,460452,629778,-1,-1,-1,-1,-1,174247,-1,573996,25795,720765,-1,850814,475527,74746,228034,-1,-1,179413,909445,-1,-1,-1,290942,416212,-1,444200,-1,34250,-1,-1,-1,712517,146975,-1,-1,-1,-1,-1,-1,-1,-1,-1,895077,-1,-1,95478,-1,-1,919783,724747,735083,546433,807865,-1,-1,-1,833969,-1,185878,809831,603514,98389,-1,117218,551939,59043,143319,-1,-1,-1,812896,269718,-1,-1,-1,283901,-1,145230,240011,-1,-1,-1,-1,-1,152213,-1,604041,372696,803623,850775,-1,-1,-1,133532,-1,365605,-1,-1,576350,-1,63428,14143,163612,-1,194636,-1,491791,-1,-1,-1,-1,507297,742595,229006,-1,922411,737610,604176,662959,81210,110362,-1,-1,-1,413240,-1,903200,20980,-1,845767,580327,340446,-1,293281,-1,-1,-1,-1,-1,-1,983014,-1,-1,605570,-1,-1,-1,515578,997,-1,-1,-1,-1,-1,-1,-1,920221,787169,987758,772359,597371,415124,790994,-1,522347,355325,-1,858861,-1,-1,-1,-1,-1,-1,-1,107955,-1,-1,805649,898948,637914,-1,-1,610164,436884,-1,-1,-1,-1,829997,447545,-1,955537,-1,848190,-1,376354,917266,-1,261167,-1,329312,118976,-1,-1,-1,-1,705436,-1,-1,908610,856325,568608,858697,959222,646144,-1,-1,-1,-1,615591,-1,-1,161392,520484,12709,212526,-1,-1,135040,-1,-1,-1,873489,-1,-1,-1,343011,734504,-1,160541,-1,527992,102172,135417,52847,514738,268871,222759,-1,508432,-1,-1,302013,-1,-1,-1,-1,-1,307513,-1,-1,-1,-1,215560,612311,-1,-1,-1,14185,986627,156278,726425,847025,618049,145413,-1,-1,-1,-1,639466,-1,-1,-1,77516,-1,996191,53077,-1,-1,-1,786412,978824,-1,247899,-1,295927,-1,951778,-1,861609,548101,678265,520761,-1,-1,631750,-1,859606,626805,334059,-1,999256,-1,864109,175370,-1,-1,994992,67923,-1,-1,629834,-1,-1,-1,-1,323946,489800,-1,-1,-1,-1,-1,852801,-1,935029,531090,242720,578026,396104,78456,-1,-1,-1,967072,127286,-1,499298,218716,-1,966027,-1,-1,671264,824171,-1,922777,-1,580168,499022,-1,107127,-1,983701,-1,-1,-1,665533,-1,858891,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,830035,-1,911365,-1,-1,-1,-1,895330,400910,-1,-1,-1,484670,891078,-1,240560,-1,-1,648397,-1,552384,-1,500249,214163,542749,-1,-1,4584,219373,-1,-1,-1,-1,756985,-1,-1,460991,618987,-1,427352,321271,902409,165505,228596,-1,-1,-1,563536,-1,-1,-1,-1,746125,370244,-1,848120,-1,227307,-1,732645,-1,-1,102392,-1,-1,305801,561239,405873,68801,-1,760700,-1,-1,-1,372007,38080,494209,964745,-1,848487,-1,-1,863706,-1,74343,-1,-1,93171,962449,-1,-1,-1,556417,267313,216203,300405,-1,312500,512019,-1,39932,-1,798300,746112,470310,-1,-1,-1,-1,338189,-1,822935,-1,556227,431734,-1,670750,-1,703625,-1,-1,-1,-1,-1,125066,-1,-1,-1,86509,-1,-1,-1,361213,-1,785306,-1,65970,-1,-1,-1,-1,589105,707500,-1,-1,-1,-1,-1,359849,469768,826726,-1,-1,-1,938379,-1,-1,704717,-1,424120,-1,80795,350455,260027,375876,-1,872757,41506,818504,343842,-1,8944,807948,-1,36118,47646,745145,545824,408995,524735,-1,746630,219415,993465,769181,-1,222709,695631,-1,-1,152403,-1,-1,781427,-1,-1,-1,-1,568374,744913,844191,723129,-1,-1,632159,961406,586065,702089,459590,717063,-1,245921,-1,-1,767372,224333,-1,35384,-1,-1,700003,144305,-1,466523,452302,839041,-1,228379,430721,-1,964437,-1,75685,863837,811118,239950,313576,504443,-1,989107,-1,-1,108025,638552,830818,-1,171036,-1,-1,664385,807650,-1,-1,-1,435986,28428,535123,852348,-1,-1,823111,84422,-1,525066,649169,705561,48937,-1,14177,571751,484521,-1,-1,18501,-1,-1,744735,-1,-1,771110,677869,315110,563706,-1,-1,496763,38626,-1,-1,110732,967051,-1,-1,236723,949861,906172,-1,-1,435828,-1,-1,753977,-1,525459,-1,899915,406418,-1,-1,-1,-1,-1,-1,238821,-1,287926,60688,-1,546895,-1,-1,-1,468725,485006,-1,217023,-1,-1,169574,577562,456249,-1,360728,744201,-1,-1,-1,-1,926087,-1,-1,982459,-1,971954,-1,-1,-1,40694,51716,697197,-1,559795,-1,490891,-1,974234,131439,295040,363766,-1,486387,-1,743132,204548,-1,-1,39349,525064,-1,-1,127146,-1,316513,-1,-1,-1,784177,567938,68060,828503,-1,720590,434631,208970,464524,189889,124943,473562,-1,-1,824217,-1,865116,-1,77906,-1,-1,-1,875569,-1,-1,676321,-1,324187,375204,847359,-1,973738,-1,-1,363781,977137,-1,-1,448024,-1,-1,-1,797238,-1,-1,-1,649532,-1,-1,516307,664226,-1,-1,-1,-1,-1,-1,-1,734897,260352,-1,551349,422556,249554,-1,-1,961310,887207,-1,235443,-1,-1,582966,-1,963447,-1,698011,-1,656676,-1,-1,-1,-1,-1,-1,981565,-1,-1,-1,-1,382885,847453,994921,253567,-1,89152,-1,-1,830724,-1,-1,519030,211598,616757,-1,-1,-1,152773,249622,794634,127326,535986,-1,766803,-1,83872,-1,263125,466232,492185,5331,-1,-1,-1,-1,-1,550060,-1,-1,684038,497583,-1,-1,-1,573381,-1,706175,-1,-1,154239,-1,-1,-1,-1,-1,-1,-1,270958,-1,-1,-1,-1,-1,784191,-1,-1,-1,-1,713659,-1,-1,263214,-1,741475,433374,271898,510293,-1,-1,-1,-1,-1,-1,-1,-1,814191,918621,199795,768271,-1,105832,457685,-1,-1,-1,238678,-1,71709,480964,482444,-1,-1,83692,361384,-1,-1,-1,-1,290796,-1,-1,-1,263452,965773,-1,-1,394143,98426,-1,684775,211449,-1,-1,-1,824718,208764,975695,438621,579720,-1,-1,824358,-1,301702,739594,211628,170542,-1,-1,53420,-1,-1,271062,151491,-1,762807,-1,-1,-1,-1,-1,895759,-1,-1,-1,-1,231600,929602,385168,-1,259518,916991,-1,898723,493915,213797,-1,267540,349835,-1,-1,-1,-1,-1,-1,365231,-1,-1,750793,816376,-1,617109,137408,-1,279817,-1,22818,-1,-1,-1,460712,911935,545523,-1,-1,813306,393850,-1,943031,36634,-1,821117,-1,659591,-1,654538,-1,359673,-1,-1,-1,514553,66122,-1,736864,-1,-1,372526,766069,-1,681378,1822,-1,146299,99221,517557,999231,-1,-1,116309,-1,-1,257088,671365,358696,-1,791723,305721,974547,-1,247173,851287,-1,-1,-1,-1,-1,160246,-1,-1,-1,314629,851483,-1,-1,856492,237496,-1,-1,-1,-1,-1,-1,907282,-1,-1,836079,978482,-1,229835,997954,463435,-1,872733,-1,-1,-1,-1,494658,377317,-1,-1,-1,142039,-1,831141,-1,-1,-1,589132,385030,473816,-1,-1,470318,58517,-1,-1,404211,158344,-1,390638,-1,294238,-1,933805,789064,483680,-1,1144,150893,-1,-1,-1,-1,613396,-1,135328,769316,-1,176110,-1,193139,-1,-1,-1,318404,222811,-1,779693,-1,164046,-1,662537,472375,-1,-1,545201,44774,669126,193224,-1,-1,925565,-1,495094,162789,-1,531882,-1,320791,-1,-1,-1,-1,708353,938982,-1,954666,-1,209310,-1,875423,977504,468203,-1,-1,-1,-1,-1,872920,921639,-1,-1,-1,433550,983086,151034,-1,-1,35703,-1,-1,492730,393069,995108,534543,348248,-1,27017,327225,-1,-1,167098,364060,956618,-1,-1,327826,-1,691696,-1,514203,573067,-1,207197,729120,401643,-1,-1,452346,202129,-1,684713,763060,-1,473639,675925,44201,763847,184860,625933,653083,-1,-1,-1,700262,573121,-1,-1,708595,654717,715201,-1,61787,308017,-1,993121,747229,-1,-1,181024,225622,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,103278,727483,-1,336894,-1,703736,-1,837319,345437,812861,968530,-1,886431,-1,-1,-1,-1,662710,656972,-1,-1,828599,-1,-1,-1,-1,-1,-1,-1,-1,-1,871821,432410,-1,108640,323834,-1,-1,-1,-1,-1,-1,-1,339814,-1,-1,-1,363610,547828,638092,-1,-1,665777,375486,993621,971631,-1,-1,-1,460035,-1,-1,542945,347220,-1,-1,322318,-1,-1,-1,71428,709076,973684,760879,375916,869083,-1,-1,230399,-1,-1,-1,-1,284575,-1,497576,834102,-1,-1,132009,632965,-1,-1,-1,-1,-1,328420,-1,-1,-1,-1,920042,936940,-1,101548,-1,-1,188185,840717,-1,421427,518707,610258,344995,-1,-1,167335,-1,318087,905108,490614,287623,163689,134578,494554,587633,350163,-1,408031,-1,-1,-1,286176,339315,542021,-1,-1,529648,767929,871620,943033,-1,359472,-1,732754,987616,-1,-1,-1,-1,-1,-1,-1,-1,856642,-1,377198,-1,156081,-1,-1,-1,-1,1541,201083,466023,240483,320406,-1,559006,-1,-1,877830,-1,890941,967175,210029,-1,878702,131590,-1,807023,843020,570973,-1,95167,-1,406323,996787,-1,-1,-1,-1,378731,-1,463057,-1,-1,950553,-1,200569,-1,901774,-1,493812,710001,189020,139680,770433,242898,-1,-1,973130,349193,884562,803423,-1,-1,-1,858522,-1,-1,495452,524500,-1,376989,-1,71742,-1,442555,78100,620948,-1,415514,-1,-1,777925,-1,345767,938518,718881,-1,739720,715324,-1,-1,986516,322168,908604,-1,781997,-1,-1,493259,-1,-1,706224,557531,-1,824238,757669,469758,-1,-1,-1,370370,793477,-1,397769,-1,539370,657551,700397,-1,883638,-1,243767,-1,664618,113535,-1,177566,-1,-1,-1,-1,-1,522988,3872,917315,-1,39422,-1,461650,-1,-1,380712,716924,-1,764549,908639,807301,237682,101599,-1,-1,-1,320724,349763,-1,958953,-1,247890,-1,-1,-1,538063,122047,620762,-1,-1,586353,641406,-1,510253,959765,662194,102784,-1,585545,-1,948178,937610,22822,-1,-1,-1,548778,-1,166210,710592,694076,431763,-1,908425,-1,-1,683676,-1,637798,-1,-1,806743,-1,505878,180386,175415,661681,-1,405835,-1,612287,657627,-1,749451,490298,56855,-1,-1,415023,820935,-1,388063,-1,373623,-1,220663,621545,-1,-1,679366,-1,-1,-1,-1,-1,964899,-1,-1,-1,328341,-1,-1,-1,-1,441339,164374,-1,363553,-1,305814,-1,-1,458365,157138,750889,-1,839485,-1,845192,-1,-1,-1,409713,-1,-1,260477,428708,-1,-1,-1,489305,-1,-1,-1,753452,-1,-1,-1,424217,646238,707644,-1,963198,-1,141487,-1,-1,-1,-1,148827,-1,88442,-1,794800,286932,789771,-1,-1,-1,627919,831180,929840,-1,-1,771758,399854,-1,-1,-1,284601,-1,282794,-1,345972,-1,-1,-1,-1,-1,825323,-1,555465,-1,-1,-1,-1,-1,-1,-1,-1,-1,459927,-1,-1,-1,42121,385832,86953,533146,-1,714790,289905,-1,-1,666082,372899,-1,349376,-1,596389,-1,400008,671120,-1,-1,313258,-1,-1,497779,542107,879759,407761,-1,419657,416662,-1,-1,-1,-1,319699,601791,726611,-1,872128,281702,-1,369119,-1,-1,964521,72309,926320,567287,258028,45819,-1,837530,630925,376175,634957,140816,290348,596310,27499,-1,-1,393175,353922,414536,371393,-1,387751,-1,585551,-1,-1,-1,-1,-1,577053,-1,441026,-1,-1,-1,-1,-1,-1,-1,-1,-1,491315,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,793544,-1,-1,638280,-1,-1,-1,-1,-1,838297,240872,901140,-1,34853,985028,-1,-1,460545,956058,216437,-1,414028,231404,913755,-1,434990,-1,-1,592636,322255,884532,80069,-1,-1,-1,345424,244292,750140,-1,-1,-1,452686,915690,553890,-1,-1,886004,-1,-1,456663,-1,-1,577022,-1,846219,207438,-1,-1,744289,-1,620450,-1,-1,-1,-1,631200,-1,486972,909846,776041,447952,-1,600930,-1,-1,408590,-1,-1,475491,985770,43021,-1,-1,226131,537479,-1,455815,-1,123050,-1,-1,-1,52780,434093,-1,557774,315548,187790,-1,-1,-1,-1,-1,537374,-1,-1,67472,729441,124297,569811,819073,125447,-1,-1,912891,-1,-1,971360,814697,660976,413443,-1,928990,-1,602380,560018,884133,849832,-1,470614,-1,334716,-1,378121,-1,145717,758270,741737,218302,-1,167096,-1,517407,-1,586052,-1,203842,357293,-1,-1,-1,420618,-1,-1,-1,-1,-1,-1,875008,-1,314351,431739,149490,545127,392217,506312,899546,-1,-1,48599,-1,301923,91707,48860,921677,775213,-1,50159,984726,927633,89240,-1,-1,322689,-1,-1,742427,248723,-1,-1,698267,-1,637105,-1,-1,577049,588425,844342,-1,-1,-1,-1,-1,662119,-1,-1,-1,-1,-1,308951,-1,-1,-1,315804,392014,384719,-1,420342,-1,942748,-1,-1,-1,-1,146947,256962,607516,602728,117219,179904,857816,-1,-1,-1,320456,-1,-1,968001,-1,-1,-1,119720,-1,-1,-1,71279,932145,-1,-1,595246,-1,262967,-1,-1,366830,-1,916692,13474,-1,627668,-1,-1,645841,-1,-1,758648,235548,-1,-1,419535,-1,-1,-1,-1,-1,824641,449011,-1,789738,-1,120130,-1,514506,-1,-1,417230,284270,6821,958462,-1,-1,-1,849372,41903,229863,657686,441434,-1,-1,4172,-1,424237,273100,646347,514823,802333,887981,-1,-1,593103,386626,-1,-1,465724,-1,332653,154516,-1,-1,-1,-1,699145,112773,-1,-1,-1,-1,-1,551443,-1,-1,-1,-1,376777,209382,-1,99670,731496,762057,-1,211068,-1,910705,-1,561140,-1,918005,-1,78176,97527,-1,142378,-1,393242,408493,806584,-1,-1,408901,-1,-1,928244,691758,744253,-1,-1,-1,180420,482061,756121,-1,-1,-1,-1,509558,-1,535629,178474,-1,-1,-1,-1,497312,896718,946995,134007,-1,-1,246738,308441,323434,121624,21297,-1,-1,-1,744239,186027,-1,-1,-1,69084,125238,36546,-1,-1,476237,780113,-1,-1,-1,746637,893607,-1,920640,627392,247333,675744,314734,-1,-1,760930,333672,-1,311734,843807,-1,-1,-1,757151,-1,304710,952874,821478,899222,-1,-1,-1,564327,936195,-1,205645,2433,923779,314080,-1,316468,-1,-1,962377,801860,530349,362241,961072,203148,-1,-1,689921,-1,147925,629167,490849,-1,53181,-1,-1,666488,347003,-1,-1,434779,96048,-1,-1,859461,-1,-1,-1,253268,-1,213342,79712,785398,50021,880442,-1,76403,375100,520150,-1,902856,-1,-1,531043,-1,95749,584919,-1,128082,-1,381716,441523,259772,-1,-1,-1,-1,830963,344310,-1,-1,-1,768509,689467,-1,245876,-1,-1,-1,-1,712380,428314,-1,831298,857256,599009,-1,-1,-1,866127,94871,907409,476571,173048,554906,-1,-1,325484,-1,-1,277095,250745,-1,117404,-1,261084,329947,979729,-1,-1,-1,837635,-1,522938,-1,482245,338099,-1,873822,-1,267041,-1,627015,-1,785728,-1,-1,-1,-1,-1,-1,-1,708623,-1,-1,549126,50110,235478,875208,786046,353677,597430,-1,779838,866660,497839,16144,627697,528519,486308,867352,621776,-1,-1,-1,88516,592044,-1,-1,200634,-1,-1,-1,784975,-1,944649,928020,-1,360922,344782,612829,-1,-1,105307,46020,-1,731403,-1,-1,-1,-1,-1,827328,-1,-1,-1,388833,-1,-1,990702,988467,438190,456998,372876,-1,629977,599904,868632,-1,84034,785580,599297,-1,-1,-1,-1,-1,-1,-1,387642,-1,593237,-1,415112,-1,-1,-1,912233,389631,740558,-1,-1,854046,-1,-1,-1,588897,-1,-1,-1,-1,843407,628199,750379,-1,662462,-1,769715,305354,-1,-1,-1,-1,-1,353678,-1,345230,-1,-1,575282,79208,451633,-1,-1,737537,371872,472148,171760,171322,274556,771717,-1,-1,557832,-1,384892,-1,-1,637392,633566,938560,294859,727727,-1,-1,-1,-1,381658,-1,-1,187464,289398,294599,-1,-1,-1,-1,-1,-1,573313,919735,167303,505102,246465,42379,608012,228429,-1,713166,601458,-1,198310,370488,703481,402697,-1,786551,-1,603974,534409,-1,-1,-1,-1,-1,733413,-1,63784,-1,-1,-1,-1,24855,-1,-1,-1,-1,-1,108455,331479,291326,-1,334863,827400,583822,-1,647977,-1,-1,653310,-1,-1,551902,-1,-1,-1,469243,320498,-1,842663,363625,41890,755967,-1,537786,-1,537265,1383,996494,-1,-1,89302,252910,364625,-1,325659,-1,-1,-1,662760,119740,-1,-1,-1,863258,-1,642263,551264,349260,578117,-1,-1,603953,900300,58995,-1,840277,73808,-1,292715,488500,149712,756992,-1,464619,383854,781024,-1,-1,598277,896492,-1,-1,-1,822742,-1,-1,950664,562495,-1,-1,-1,498629,-1,-1,373834,375472,90714,251334,847897,319806,71107,149482,-1,-1,614360,385323,966273,829920,552448,752805,-1,-1,396549,-1,-1,-1,181652,953295,214582,581045,279560,280456,-1,532281,-1,-1,550469,91919,972747,157766,477446,769276,275136,501659,-1,356388,620671,159501,-1,362973,-1,674777,582159,885401,607290,971022,-1,381144,177690,-1,-1,257816,-1,-1,474645,946810,716101,-1,782057,-1,235919,947510,364918,632214,-1,-1,-1,911193,929259,430722,448932,324958,-1,923115,-1,-1,870332,470219,795346,956041,297260,-1,-1,-1,-1,-1,800904,-1,-1,803102,-1,-1,185329,-1,-1,-1,-1,299954,61314,392628,-1,389762,-1,-1,64951,35085,983682,412982,961556,858433,-1,-1,658336,677234,413273,-1,869345,405777,-1,166613,401942,-1,936693,881702,648688,-1,-1,-1,155190,254694,-1,468560,-1,409793,-1,-1,689903,952476,-1,-1,-1,254540,-1,-1,80462,-1,-1,-1,863236,-1,-1,-1,-1,-1,-1,202147,155577,67385,-1,763888,863269,-1,229084,-1,572994,11597,709656,-1,332686,-1,-1,736024,748212,855550,-1,-1,-1,-1,-1,-1,36486,-1,896203,-1,253628,993254,-1,-1,619487,739779,650057,830027,766487,750177,-1,820568,-1,-1,-1,-1,-1,777516,-1,215151,-1,-1,-1,769932,591809,-1,-1,-1,359317,-1,314518,160497,819948,864563,-1,45419,542419,-1,969282,-1,-1,335007,-1,-1,298428,846127,-1,-1,766798,-1,621622,-1,-1,265744,727601,-1,562765,-1,430076,-1,579071,-1,961355,-1,-1,134961,-1,-1,737840,-1,-1,287489,141512,-1,-1,-1,253492,-1,788845,156603,854069,50498,-1,430505,-1,40861,844413,-1,170441,-1,166902,-1,-1,871957,119046,986366,-1,-1,-1,-1,467813,-1,-1,-1,-1,357433,-1,-1,318661,-1,351946,-1,307979,155970,66966,998273,-1,363053,275545,-1,-1,-1,156304,119231,-1,138534,486403,-1,284784,-1,-1,-1,-1,520355,800478,-1,-1,486028,-1,-1,-1,284698,-1,527881,-1,177068,107293,-1,-1,643466,-1,-1,-1,-1,-1,772250,516752,-1,148964,-1,-1,545187,-1,536967,-1,-1,-1,-1,-1,-1,537849,-1,-1,-1,198294,-1,540221,9195,54034,17735,653304,-1,377707,-1,217005,-1,-1,-1,-1,-1,-1,-1,826050,178386,88154,-1,-1,764913,436451,-1,-1,-1,801963,-1,258386,246543,-1,295611,743750,727999,723667,846051,111989,737918,29096,725573,-1,28940,-1,269580,647413,510789,-1,-1,881872,-1,-1,790349,-1,-1,254249,87275,-1,99633,-1,-1,-1,-1,176932,517620,-1,-1,-1,507625,-1,-1,551003,-1,-1,-1,383588,-1,-1,-1,256821,660919,-1,786205,-1,217397,-1,-1,929016,-1,924428,903144,300016,-1,-1,-1,-1,291476,-1,333797,91096,-1,-1,708330,-1,-1,-1,539398,-1,130781,-1,-1,856113,-1,978734,992997,782059,13201,-1,-1,870076,985585,-1,-1,-1,-1,563390,-1,-1,870196,476007,173059,-1,955536,303440,-1,-1,559557,-1,-1,-1,-1,-1,-1,431865,-1,539290,-1,-1,708954,947652,844391,-1,-1,162758,-1,451088,-1,278162,-1,-1,-1,426392,21587,-1,747970,-1,450616,833295,-1,542514,-1,-1,-1,523740,-1,-1,-1,-1,-1,-1,312862,938050,973657,53451,-1,-1,670568,617755,478554,-1,-1,-1,-1,982231,203458,-1,340767,-1,563985,-1,-1,-1,-1,202483,940143,-1,-1,-1,6998,5707,-1,-1,129794,558017,263182,600442,-1,23064,941764,-1,70571,-1,337463,-1,-1,-1,-1,668938,248900,-1,-1,49355,525266,-1,-1,634273,127864,421953,310482,159539,321624,-1,808333,-1,650179,-1,740079,-1,-1,352115,-1,-1,299358,472475,407749,-1,-1,-1,-1,751541,458794,474172,-1,918964,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,867928,466268,-1,277414,-1,306812,556989,-1,-1,-1,807152,680744,930523,804651,416081,431284,-1,220557,-1,261613,-1,-1,-1,103005,417457,891184,870610,-1,787545,-1,-1,-1,331410,632513,522664,-1,-1,-1,255740,29688,-1,982301,787124,54729,297080,997292,-1,219982,-1,893145,-1,-1,-1,-1,-1,532083,799786,-1,714644,-1,-1,490821,-1,778965,639574,-1,763182,-1,-1,-1,928711,-1,-1,924638,-1,992832,-1,964011,47320,-1,934792,-1,980100,467865,-1,-1,483813,895205,526859,-1,-1,317834,148732,495415,-1,-1,120386,269882,694893,-1,-1,105556,408926,-1,-1,27492,-1,-1,859153,-1,784592,-1,443403,-1,879485,-1,-1,517668,31169,287510,-1,706649,-1,-1,380539,-1,-1,204503,644269,642885,140672,-1,904815,291218,-1,175584,-1,43446,-1,988363,655299,-1,992916,371329,-1,-1,637854,192503,-1,-1,-1,-1,-1,-1,599299,-1,-1,316715,284294,-1,-1,680639,-1,-1,295012,-1,-1,136843,987159,289909,-1,117069,560451,-1,-1,-1,480160,-1,-1,422358,403090,789597,731923,-1,-1,246121,277004,397706,-1,-1,808968,-1,-1,314045,920114,-1,-1,-1,974874,-1,-1,980518,805338,822482,446103,761889,898753,-1,450239,-1,730739,935657,-1,680533,374227,-1,431490,-1,-1,648402,867736,-1,231617,542537,-1,-1,433093,-1,-1,296335,501858,-1,479062,545299,813359,10460,-1,-1,-1,-1,641642,-1,-1,97449,372157,341659,-1,-1,446229,80547,-1,-1,-1,-1,616512,934292,851764,876911,-1,855396,-1,188709,410956,650483,-1,361799,150089,348175,504669,-1,-1,-1,79625,-1,-1,758360,-1,258494,-1,512604,926183,-1,-1,920429,-1,-1,427782,474656,903096,-1,-1,-1,244002,453197,570118,951123,811267,955588,775882,-1,687301,85477,-1,307177,216020,-1,-1,-1,235603,-1,-1,-1,-1,-1,-1,770524,-1,-1,767450,-1,534907,599988,5601,633059,-1,-1,559487,-1,863052,514036,639340,-1,-1,-1,359138,-1,905754,-1,330725,803806,-1,861802,-1,193812,865219,-1,543066,-1,-1,195282,244686,-1,-1,-1,-1,848919,-1,960458,807315,531604,149721,474494,182692,-1,-1,-1,-1,-1,-1,838283,270332,-1,750271,452666,-1,784239,656716,480829,993342,706683,145593,235750,-1,-1,-1,659536,304285,359826,826453,145743,632034,347696,-1,-1,61345,-1,-1,-1,520510,-1,-1,932615,716916,771281,-1,-1,576708,691132,594771,642986,-1,880730,688568,-1,808045,-1,866200,-1,-1,-1,315578,414422,208318,766556,-1,772701,355611,-1,-1,181767,571795,978608,-1,6061,-1,498939,-1,363737,114634,-1,-1,-1,-1,-1,296353,160985,-1,610199,263032,807030,-1,-1,-1,-1,822809,827300,10443,915782,222814,-1,-1,-1,891151,402909,-1,178304,-1,733593,651965,47936,951228,-1,884033,655206,387707,-1,386724,-1,-1,590131,-1,-1,-1,-1,-1,-1,-1,271297,551627,204025,-1,-1,-1,772525,-1,-1,412838,664800,822449,-1,-1,-1,195808,357663,-1,229779,453532,-1,-1,-1,-1,995354,-1,-1,-1,-1,384459,588460,-1,-1,-1,94234,561616,-1,-1,-1,-1,-1,-1,-1,-1,194143,-1,-1,-1,247518,971717,667552,236138,644613,-1,-1,-1,-1,965979,-1,336026,-1,329971,758958,-1,758351,-1,399235,-1,604836,769986,-1,519201,597913,-1,-1,-1,-1,-1,-1,943839,52764,134594,-1,-1,240809,479424,117553,110975,728715,180889,927696,56880,658440,963650,427137,743581,-1,238951,-1,70525,-1,182988,455999,541690,827102,-1,703270,489133,610192,404999,-1,437120,125013,-1,684491,503851,-1,351058,715261,325885,-1,-1,523560,-1,-1,720139,-1,-1,960785,23890,-1,-1,24432,-1,-1,-1,-1,726084,30543,-1,-1,-1,-1,-1,-1,329460,268599,704258,-1,812320,693021,-1,-1,-1,818493,264890,-1,-1,-1,-1,-1,-1,273602,-1,-1,-1,-1,-1,107822,-1,135949,-1,-1,519659,849264,582862,-1,198191,597422,-1,985502,948816,-1,925458,495177,276058,720376,-1,986393,730177,990412,431015,780503,169522,714952,-1,787438,-1,-1,-1,425083,-1,928117,325766,-1,-1,-1,883189,657479,776252,868221,-1,-1,-1,-1,342500,-1,597367,-1,430290,523309,759492,198008,-1,118299,-1,-1,652323,-1,461187,-1,-1,893975,-1,-1,-1,-1,-1,-1,224904,-1,587151,-1,401026,-1,-1,-1,-1,554026,972311,900253,365741,334223,563933,-1,728293,-1,-1,-1,272526,-1,-1,-1,-1,-1,-1,-1,688332,878542,516197,539106,146709,-1,-1,316261,-1,287117,101732,-1,-1,863539,695818,-1,-1,-1,897703,-1,-1,-1,839442,-1,-1,-1,473479,16463,-1,-1,-1,-1,199091,-1,265377,-1,-1,185049,597031,800957,321589,721723,481849,583741,941369,-1,-1,80743,-1,31056,596224,-1,366163,816657,259551,-1,-1,-1,5596,-1,-1,-1,-1,729573,-1,845084,-1,760448,-1,-1,991593,557648,-1,28552,-1,-1,172210,-1,775200,-1,325345,127061,-1,383575,100393,-1,-1,-1,-1,138875,-1,-1,484297,24931,-1,-1,-1,921803,988524,757676,-1,355012,-1,-1,-1,-1,-1,584123,990796,388218,344747,225727,-1,576808,856262,864748,191649,-1,178434,473185,-1,53743,851504,-1,-1,401115,776673,-1,723335,-1,364141,-1,551589,-1,-1,95859,-1,-1,915310,585600,458081,-1,601223,-1,989831,839933,-1,-1,-1,445365,926577,960091,861905,222422,-1,-1,934146,-1,969813,183963,177658,432308,894487,-1,-1,-1,-1,634028,-1,-1,-1,47179,736231,-1,855217,-1,213875,-1,388193,48842,-1,-1,-1,-1,-1,824231,-1,14860,38606,-1,-1,-1,198509,-1,203953,200683,-1,-1,-1,-1,-1,-1,623633,345620,715789,-1,867204,171906,-1,-1,-1,-1,-1,471406,-1,-1,-1,412530,967573,-1,-1,-1,443303,-1,428088,-1,-1,958030,-1,-1,-1,666349,-1,-1,-1,-1,406478,-1,606406,-1,586219,-1,636514,-1,-1,-1,-1,-1,-1,526087,229569,-1,564748,-1,-1,446110,694616,86605,-1,33011,-1,-1,-1,6872,-1,205930,-1,984625,-1,553377,461573,504512,-1,-1,-1,96836,-1,-1,-1,-1,-1,-1,469250,-1,-1,-1,29451,-1,-1,-1,-1,-1,625892,-1,-1,-1,767776,565033,509490,-1,-1,864414,-1,29160,-1,544640,161730,-1,981337,-1,-1,566392,998067,951636,-1,-1,-1,-1,687710,-1,-1,-1,-1,-1,-1,-1,946816,-1,-1,676228,620098,618643,102460,-1,-1,303601,226182,-1,-1,-1,-1,-1,678019,326101,960144,-1,377319,591789,788286,-1,-1,448825,-1,580098,-1,13547,-1,-1,-1,-1,625463,-1,851269,895874,-1,-1,-1,449687,-1,-1,-1,-1,53366,-1,-1,674775,-1,775868,179785,-1,461403,52563,-1,606922,172432,73669,-1,228147,519337,204379,558653,731444,600759,-1,105918,-1,-1,949448,700367,980804,384922,-1,-1,-1,-1,-1,192225,-1,603230,-1,864438,712038,-1,914151,-1,619262,124021,917744,-1,-1,428939,932089,-1,293945,813893,207306,480054,-1,-1,-1,677322,-1,-1,263173,783374,-1,77919,943051,-1,-1,559708,-1,204592,367373,853858,-1,722667,657675,-1,-1,169418,926280,691670,169778,101142,470903,933646,-1,-1,573843,580177,445151,441065,800203,-1,-1,957194,-1,-1,319344,-1,781639,-1,-1,-1,904090,687117,49274,518889,91262,-1,352546,-1,923271,-1,-1,785239,862940,584857,-1,-1,410131,354736,190683,-1,625302,272863,-1,-1,-1,405324,141309,740117,-1,-1,643359,493662,4519,-1,-1,377960,657637,507862,-1,-1,355084,359503,-1,-1,187396,-1,-1,584163,304356,-1,569374,825597,616055,-1,-1,6670,-1,-1,-1,-1,624475,-1,167666,-1,710700,74943,225743,-1,-1,-1,575743,864704,521172,587653,418170,645702,-1,-1,481305,778211,431743,-1,-1,127131,33034,558620,164529,9515,712668,-1,994631,731941,789905,-1,-1,-1,-1,527289,-1,615923,-1,757354,893274,-1,-1,586907,469308,-1,-1,-1,-1,166478,83925,999548,-1,-1,-1,860251,-1,-1,-1,-1,-1,553859,-1,-1,682166,162184,-1,-1,623801,863140,-1,806216,499693,303300,151817,-1,-1,-1,258543,-1,-1,-1,396134,573309,-1,-1,-1,-1,-1,-1,-1,702950,126043,-1,-1,844409,736168,-1,726257,-1,763426,484668,-1,-1,409078,669956,257760,822246,749589,237521,-1,628193,-1,258745,391701,-1,282930,161305,-1,825330,718252,-1,756460,-1,-1,-1,-1,-1,986811,-1,473969,-1,645461,295968,190457,-1,-1,926188,-1,319389,-1,136596,654387,-1,-1,-1,675696,-1,146524,401655,210026,-1,670899,-1,-1,-1,755884,-1,796656,-1,-1,-1,924111,-1,232933,202176,438427,828638,-1,110526,-1,469216,168087,-1,-1,630176,788235,299806,-1,660190,870366,646408,-1,-1,412852,294326,-1,-1,994013,183668,334481,395160,-1,812531,-1,-1,398998,565907,230461,828358,-1,-1,40521,377800,254539,888778,920442,890343,-1,-1,-1,561324,-1,-1,-1,615039,919480,537598,146298,-1,-1,516886,-1,984836,792973,374828,-1,675755,-1,280256,-1,-1,-1,-1,-1,308226,916349,931407,-1,701325,135640,654300,-1,365773,-1,-1,638254,-1,490385,-1,259448,272493,-1,280536,-1,-1,184024,956663,205777,520606,-1,667410,139706,-1,-1,-1,-1,-1,-1,-1,987615,487903,696825,89892,589845,435669,-1,-1,900630,561164,-1,77428,455690,-1,68230,346367,865121,-1,652062,-1,-1,-1,568729,214981,-1,-1,-1,-1,848434,-1,-1,-1,381564,-1,514829,407097,-1,243639,657429,-1,795020,-1,-1,401743,-1,-1,999386,-1,-1,-1,483738,642853,355212,876169,278374,-1,587795,-1,-1,-1,-1,662334,782014,-1,-1,-1,474325,61693,-1,-1,-1,-1,-1,-1,306491,-1,752949,695010,-1,18061,-1,408501,752636,913103,143303,521824,-1,297951,96003,-1,-1,-1,846203,620141,864445,-1,-1,-1,709169,588128,-1,138114,-1,-1,683896,-1,90376,-1,-1,292953,-1,-1,-1,-1,36455,-1,-1,604112,656898,-1,-1,300155,-1,341929,-1,-1,-1,992406,-1,-1,-1,5153,340932,875157,-1,-1,316402,-1,150376,636957,143938,826793,-1,-1,-1,-1,-1,597164,-1,-1,-1,-1,833571,-1,-1,167302,-1,-1,732089,-1,786913,729462,400711,194651,-1,-1,251801,836158,-1,929449,-1,-1,-1,-1,988494,-1,-1,-1,27349,-1,-1,241336,722728,870548,330237,346922,-1,511381,-1,-1,-1,419305,933623,-1,-1,703620,-1,759661,242181,685158,932645,-1,-1,246001,19688,26419,-1,345748,309725,-1,704301,237748,855123,-1,-1,-1,843137,958990,804036,-1,-1,-1,964999,-1,308572,-1,21444,-1,980507,-1,-1,119899,-1,694050,-1,-1,-1,-1,957897,307344,302010,212723,-1,-1,121536,-1,287976,-1,-1,-1,439253,-1,587724,-1,-1,-1,97863,935104,634082,864539,-1,-1,-1,865129,872236,743999,-1,-1,-1,-1,565608,-1,-1,108149,-1,714780,-1,420575,149334,773180,646811,944345,-1,480177,566673,-1,-1,19424,915703,-1,-1,-1,-1,396243,894058,366798,145300,790489,-1,248107,-1,-1,-1,239878,-1,-1,845573,-1,697871,974031,110570,870123,189565,549670,-1,206254,-1,335030,500907,-1,-1,-1,552313,360110,-1,-1,787714,310058,622349,908783,137124,-1,-1,501010,-1,-1,590557,561339,-1,-1,952908,598539,77748,-1,123887,-1,-1,419472,-1,-1,-1,-1,197252,219889,-1,-1,245560,-1,887578,-1,883923,540696,-1,403339,-1,-1,980604,-1,224321,-1,-1,76216,107342,-1,-1,895102,-1,455440,990938,475381,981770,71091,-1,-1,680535,101131,586510,667700,-1,408238,-1,786299,543884,-1,-1,-1,619765,-1,311525,66502,56431,709095,-1,986049,261385,934728,793519,-1,-1,-1,-1,-1,-1,-1,778648,-1,520181,354181,633452,-1,477018,384383,-1,851453,-1,-1,931224,-1,68621,629414,-1,140795,-1,-1,573971,-1,-1,256127,226188,-1,-1,-1,185621,194353,-1,452679,-1,472570,351065,822244,966545,778387,64165,250580,-1,-1,-1,305499,-1,-1,-1,238872,-1,-1,-1,-1,-1,-1,353176,-1,-1,-1,93981,-1,-1,154216,393148,-1,-1,90361,-1,879028,-1,-1,778647,469298,567472,-1,715504,-1,-1,367703,-1,-1,-1,403920,819217,762659,-1,-1,227149,999069,937095,-1,-1,-1,91026,-1,-1,-1,-1,511586,6008,-1,807162,-1,-1,232425,-1,-1,-1,-1,-1,726865,-1,-1,-1,899648,457594,-1,-1,502587,-1,650239,776691,-1,-1,-1,526465,-1,736475,886888,-1,-1,813954,893406,815250,-1,958497,-1,-1,803607,-1,-1,982966,-1,-1,963689,799782,599269,-1,-1,208847,-1,-1,289845,-1,417878,-1,-1,-1,340435,270698,380007,-1,673920,43964,-1,960485,-1,-1,-1,-1,420366,955396,-1,-1,525593,-1,394100,-1,314470,-1,-1,-1,775156,-1,70246,985754,-1,861801,-1,-1,249632,-1,404041,376767,-1,-1,-1,642204,92770,-1,550029,-1,522892,67401,-1,-1,-1,112808,-1,-1,101343,340677,12739,277388,320053,-1,-1,34139,-1,-1,569648,-1,745502,-1,-1,-1,58436,-1,314694,-1,-1,-1,964448,-1,216809,-1,871186,-1,-1,-1,768192,545415,836728,824065,-1,-1,320202,-1,123961,-1,460129,-1,112117,-1,549912,-1,-1,924866,194122,1966,-1,-1,862639,606715,470255,-1,-1,205827,521328,228334,-1,-1,-1,-1,673972,-1,951471,380810,-1,-1,838416,-1,747307,946322,745001,-1,12510,308984,883138,534079,439891,-1,-1,-1,80302,127851,768389,215258,-1,-1,68006,630648,-1,-1,990132,-1,-1,-1,772858,-1,-1,-1,922958,188672,200655,867359,454743,656021,397578,-1,671041,941568,782662,-1,-1,839462,-1,676859,358332,-1,188559,710598,-1,-1,-1,-1,-1,-1,576541,289820,-1,-1,-1,584137,552551,256239,109990,-1,-1,-1,374948,-1,-1,-1,411208,603237,-1,-1,863829,693163,96999,-1,823442,447886,164495,-1,-1,466588,851586,836377,734430,-1,-1,147422,-1,707740,-1,673064,122143,53896,852970,-1,-1,794697,-1,280765,-1,-1,-1,-1,-1,-1,-1,896270,632841,-1,-1,-1,-1,468851,-1,63037,681974,79202,-1,-1,-1,357084,-1,-1,785477,71816,-1,606979,664571,899729,-1,-1,24977,-1,568732,-1,711387,-1,768232,689057,802218,768582,470289,331480,820436,834967,531397,385181,-1,203001,-1,-1,184520,953932,383033,-1,-1,-1,-1,-1,-1,330007,525074,602779,648068,573811,962525,-1,-1,674762,616713,-1,-1,546644,-1,276508,12492,370957,-1,-1,-1,232911,202424,493514,-1,124999,-1,-1,-1,445404,-1,-1,-1,-1,627950,-1,-1,367592,884865,-1,420304,-1,553944,398725,290037,-1,740328,-1,-1,388228,-1,224026,-1,-1,-1,351979,-1,282439,995840,-1,807227,557328,85638,-1,333418,-1,361367,415718,-1,214160,342670,-1,844424,-1,-1,-1,-1,988845,975528,-1,644025,920070,-1,506086,-1,-1,19449,-1,165876,493350,288113,-1,-1,986319,97717,85305,-1,-1,-1,-1,536616,-1,773862,-1,-1,-1,-1,993566,-1,-1,-1,-1,924112,-1,783780,-1,725677,-1,69625,134023,-1,-1,-1,-1,505431,-1,-1,-1,-1,-1,333763,582520,223263,-1,-1,-1,285094,609980,-1,-1,-1,-1,-1,-1,-1,-1,-1,70115,994384,-1,983057,-1,294429,-1,-1,7575,-1,342719,-1,365897,-1,961372,931183,203747,-1,-1,-1,-1,243394,335523,-1,-1,-1,-1,-1,-1,-1,407830,-1,-1,450604,-1,310994,951913,863440,892407,105752,298247,-1,-1,-1,470944,284877,-1,-1,199256,763482,-1,-1,923626,-1,-1,764953,-1,956995,-1,-1,82226,284236,633864,762734,-1,536584,493263,646834,756378,904371,916878,-1,-1,161317,-1,500306,393983,-1,-1,125610,-1,187122,-1,-1,85088,251304,-1,-1,452780,-1,184782,681670,700253,-1,538801,-1,-1,-1,-1,-1,492082,-1,-1,-1,60778,85788,603391,73467,-1,-1,-1,601495,-1,917150,157926,-1,476866,-1,-1,-1,983402,-1,-1,-1,683469,591348,822739,668037,133339,-1,-1,-1,953876,328184,135440,261672,718583,550953,822946,273580,-1,397168,659416,-1,584116,112510,285498,-1,-1,77872,307594,-1,206979,-1,660645,611842,-1,378173,555611,545462,-1,-1,-1,783456,-1,912311,-1,-1,124725,85333,219035,-1,-1,-1,-1,530295,-1,40263,-1,-1,395649,-1,298774,-1,-1,-1,-1,783425,-1,601569,905704,-1,-1,-1,56233,674501,-1,-1,726780,709766,979903,774636,174221,821746,-1,415001,-1,443204,-1,500038,-1,890015,-1,-1,-1,-1,82898,-1,-1,-1,-1,-1,-1,628152,-1,982053,692437,-1,-1,64489,-1,772179,-1,-1,-1,308123,-1,-1,-1,710024,182925,-1,-1,-1,-1,771219,429192,-1,788746,186735,143057,174716,77099,-1,399056,-1,975905,259284,936218,-1,-1,46171,897612,-1,501013,-1,358739,-1,-1,-1,791559,16367,22214,195759,775612,-1,996021,772652,-1,515265,345663,-1,-1,-1,82239,-1,511507,-1,-1,-1,239864,846405,175625,-1,368537,-1,654500,168930,121594,-1,-1,-1,855531,713920,81566,329882,264226,-1,871636,862067,-1,-1,-1,12671,-1,-1,-1,-1,515293,544849,-1,-1,504456,58317,-1,596347,50322,761251,-1,-1,-1,-1,-1,90179,790559,694319,-1,-1,-1,-1,-1,-1,759671,45310,84822,799173,-1,316737,369266,-1,181500,-1,-1,451231,839552,980667,-1,-1,374733,129670,-1,423097,7893,-1,-1,-1,-1,-1,539411,194559,-1,-1,-1,175838,-1,-1,-1,811603,-1,163523,179842,-1,-1,-1,248607,361159,-1,380765,-1,214800,-1,281819,588150,775249,-1,205462,-1,764268,225561,847998,355288,-1,-1,377490,-1,487226,593000,661935,-1,-1,-1,-1,339438,-1,523639,-1,15874,287840,-1,-1,-1,85434,-1,-1,476827,-1,-1,-1,633109,-1,604605,264573,-1,-1,-1,-1,666050,-1,-1,911189,-1,69179,-1,-1,406450,453970,-1,382152,304542,648293,-1,-1,314683,-1,17435,382030,-1,667351,-1,370196,-1,18611,-1,278099,-1,-1,647283,267652,-1,517603,898050,-1,-1,399656,-1,-1,-1,572841,-1,-1,-1,965106,-1,-1,772467,913417,-1,-1,-1,-1,-1,-1,-1,-1,418474,974464,-1,-1,980352,-1,584095,-1,-1,777217,-1,-1,327220,-1,-1,710748,899179,-1,-1,772281,-1,932888,689061,534904,-1,-1,-1,-1,168785,-1,-1,792024,-1,-1,-1,422951,343462,535251,488669,-1,677311,-1,-1,-1,-1,824587,-1,-1,658905,837122,138421,285133,-1,-1,-1,407235,563051,662437,276976,-1,-1,383132,-1,170903,-1,551068,-1,-1,-1,652403,237565,931682,-1,334672,-1,-1,-1,-1,487932,469779,649564,-1,-1,-1,558107,544056,-1,-1,-1,-1,139851,93425,-1,85866,107796,883355,-1,669645,74452,197823,-1,212077,261197,-1,850555,655377,399928,449724,388025,-1,-1,978062,-1,-1,566818,-1,526472,623536,-1,24077,470431,-1,240786,-1,-1,474028,-1,-1,970168,-1,-1,-1,410097,-1,434718,918357,-1,-1,-1,435280,-1,-1,799969,-1,777913,-1,114333,-1,-1,-1,595339,-1,-1,-1,-1,569795,-1,260240,-1,774331,-1,415493,-1,-1,201906,221657,-1,102623,-1,-1,-1,588005,-1,921282,969294,-1,561571,-1,725689,-1,647218,-1,750703,-1,792464,903056,-1,662177,-1,-1,-1,726156,561414,912307,-1,-1,-1,645761,602645,-1,-1,563285,-1,590656,308057,-1,371088,-1,968221,42816,994290,772274,-1,-1,-1,-1,-1,792195,-1,-1,-1,-1,-1,845414,423250,785984,-1,-1,147873,713277,-1,980685,524316,-1,949171,-1,-1,-1,457608,-1,409982,-1,242979,59915,-1,-1,729919,-1,-1,-1,122025,406423,244288,-1,-1,-1,-1,29385,-1,239015,485567,701769,238032,-1,286475,-1,-1,-1,635719,-1,218724,662245,375559,-1,285326,-1,10565,172628,-1,-1,84800,-1,-1,-1,946082,-1,570319,650231,-1,-1,-1,346995,-1,390861,358472,-1,778368,363486,565301,425435,-1,-1,-1,-1,-1,-1,815184,950623,970382,-1,-1,917462,-1,-1,-1,508792,-1,-1,221716,-1,952037,29975,-1,894147,-1,175916,36910,-1,606919,100888,755161,942273,-1,-1,-1,224263,-1,-1,-1,530208,-1,-1,-1,878651,-1,999391,120502,893827,-1,-1,980094,-1,-1,668549,-1,-1,127547,861507,-1,-1,159667,890257,223417,874159,122990,-1,643597,-1,427390,-1,381412,676625,-1,160192,-1,957607,118020,-1,817799,165454,-1,62637,712395,290540,261941,332908,-1,593192,-1,-1,529285,-1,-1,268635,442676,-1,-1,-1,-1,-1,-1,965848,-1,574980,669864,-1,448658,-1,35594,336558,-1,-1,83451,-1,-1,476586,495095,-1,-1,2077,-1,-1,-1,196073,323546,724952,507797,261395,-1,621200,896026,-1,16694,-1,60678,272096,795896,-1,-1,439273,553248,-1,-1,209389,-1,-1,819637,309301,676117,820114,86042,-1,823643,703122,-1,826935,134779,606690,126248,-1,-1,-1,-1,216315,288007,894226,226552,-1,-1,519689,603285,968164,-1,-1,47012,-1,902326,-1,-1,534839,78145,243783,-1,557868,326022,583563,-1,178777,521429,-1,307735,330690,162731,352965,582413,-1,211017,935365,-1,454838,882123,911601,-1,-1,-1,-1,-1,-1,99414,871452,-1,-1,-1,876894,-1,-1,417963,-1,-1,-1,980160,800021,-1,-1,-1,744521,-1,350527,-1,722356,-1,-1,-1,-1,432365,-1,619369,-1,733663,-1,-1,953753,288686,681603,216542,278014,920632,-1,643101,38550,668884,-1,-1,-1,827121,-1,-1,-1,691152,400687,647085,-1,368443,634375,86952,920477,827573,-1,-1,50331,829009,203902,-1,238401,911380,-1,-1,-1,554689,-1,-1,-1,-1,-1,167378,-1,-1,-1,720520,-1,350454,-1,-1,-1,-1,-1,-1,-1,755454,-1,-1,621864,25821,-1,792076,-1,140152,619887,-1,-1,594589,734914,612997,538133,-1,-1,337146,193505,491167,-1,-1,95340,-1,-1,744540,534023,-1,-1,-1,-1,155559,-1,-1,-1,966601,718856,859978,161082,288268,-1,211001,-1,-1,-1,-1,-1,-1,227872,260398,-1,594459,-1,915450,-1,-1,-1,-1,731929,-1,758918,910251,294528,-1,-1,-1,-1,-1,573918,85531,-1,-1,-1,588398,-1,660729,-1,946678,940562,888762,-1,-1,618200,-1,-1,466569,-1,930412,734030,307380,-1,456245,318956,-1,343153,-1,791798,-1,-1,411557,11050,-1,858517,-1,193680,-1,-1,-1,753928,855674,-1,736166,441426,-1,258608,-1,-1,682321,368468,160972,191107,-1,-1,-1,416528,597879,-1,596063,761120,119005,-1,-1,-1,-1,217576,780313,17517,252860,643863,-1,-1,265897,870607,-1,984477,-1,571571,-1,-1,-1,-1,-1,400178,843324,-1,-1,523435,176869,293449,-1,404943,-1,-1,700135,-1,226800,-1,784322,-1,916188,-1,782658,-1,-1,-1,554580,888289,-1,2558,931233,308596,-1,891590,-1,-1,-1,-1,535513,938809,-1,523029,590454,-1,-1,538728,-1,-1,-1,27082,-1,-1,399323,-1,546318,468810,-1,291102,-1,458254,-1,352569,94571,522383,833776,-1,817884,597852,662638,-1,-1,386482,-1,216041,-1,-1,-1,721403,253603,-1,903485,233798,197817,800242,-1,-1,33681,133205,626296,793117,-1,-1,213293,-1,-1,-1,771040,405829,-1,777664,192126,879937,-1,-1,56472,851596,251163,704818,-1,777539,-1,-1,582059,169202,756561,621113,-1,557502,446785,-1,473370,52057,938446,420195,244919,467911,-1,20583,866134,-1,873440,736631,-1,231448,517349,-1,116753,299752,831236,811834,-1,-1,-1,-1,-1,-1,-1,-1,315398,530638,-1,-1,-1,-1,936847,698626,-1,-1,-1,-1,-1,247878,287949,370153,566906,-1,-1,-1,142347,212856,180224,-1,531152,713491,504550,983365,-1,172154,325963,-1,210388,591606,432271,549370,-1,803735,-1,-1,-1,-1,482815,711753,927949,-1,-1,990220,-1,-1,-1,396014,962766,-1,-1,930383,-1,-1,351099,-1,-1,253432,400217,-1,-1,-1,201398,-1,104780,-1,328042,-1,197062,-1,-1,-1,926260,-1,944462,-1,-1,-1,374347,899226,-1,-1,669025,538208,150497,-1,-1,639361,-1,357657,736610,900557,48266,839489,-1,255633,-1,-1,719653,-1,-1,-1,806892,-1,-1,908103,-1,95494,704309,411179,889420,-1,-1,180272,104027,47395,-1,-1,-1,-1,998251,-1,333434,109102,632409,-1,547522,212120,610096,423879,812329,619217,817734,-1,-1,79515,-1,-1,652929,594915,-1,-1,-1,464559,-1,662803,-1,491078,-1,623795,-1,-1,-1,395927,521843,-1,-1,820256,786474,124336,-1,537283,-1,-1,-1,834237,255511,644369,-1,-1,471449,-1,238782,-1,858962,-1,518984,659885,-1,-1,-1,212146,714557,-1,38501,872297,677016,-1,-1,586710,-1,953111,784542,730941,217839,623333,-1,871283,6479,777578,-1,-1,-1,470329,-1,547927,-1,669778,333960,-1,180438,-1,-1,-1,-1,852646,-1,730209,96150,396062,-1,223096,943962,736481,175831,-1,-1,496837,152571,-1,162960,406715,179080,-1,-1,-1,696903,114600,556335,-1,877065,-1,-1,934812,905245,539799,-1,776383,960583,781146,-1,130553,-1,986494,-1,-1,-1,-1,553799,-1,135630,866991,-1,-1,72157,-1,-1,-1,-1,-1,234933,-1,-1,-1,-1,-1,895546,-1,478919,-1,86059,-1,-1,880459,901814,837112,-1,536102,-1,-1,-1,-1,951425,-1,704571,-1,203699,908854,-1,-1,-1,-1,970313,-1,-1,-1,506471,799688,199669,-1,-1,733411,181140,-1,-1,-1,873221,232931,-1,332397,905060,291452,350206,-1,973678,-1,-1,481747,-1,-1,136104,421780,-1,785316,300767,970837,175593,68617,631300,417107,-1,-1,-1,-1,-1,763949,-1,-1,441648,118428,-1,20650,-1,-1,819837,-1,-1,-1,-1,386813,-1,233947,-1,-1,-1,417551,-1,295259,258438,-1,-1,-1,-1,-1,-1,-1,576212,-1,-1,-1,-1,499331,339996,381861,-1,-1,89413,-1,456027,969713,339604,-1,-1,-1,-1,165034,821319,-1,671078,96064,783435,-1,-1,-1,-1,348300,667457,-1,-1,-1,587266,-1,-1,680252,-1,-1,783602,-1,511036,774679,-1,-1,910635,79676,644585,-1,425766,312058,-1,50205,-1,-1,-1,-1,130876,412695,-1,-1,-1,10969,-1,427595,-1,719540,-1,-1,-1,-1,-1,-1,-1,-1,842896,-1,207120,-1,-1,-1,914235,438144,-1,583088,895453,216181,-1,-1,110537,-1,-1,433576,870968,544789,720416,134087,104020,409848,-1,-1,-1,836605,953771,-1,593734,25808,-1,314641,843923,887163,-1,569760,-1,-1,-1,-1,-1,-1,566996,-1,104400,-1,-1,848444,743895,294295,-1,-1,-1,-1,396964,287500,-1,197503,-1,-1,336252,417807,505225,-1,276253,-1,192430,887035,932642,230855,292940,896331,-1,175517,703642,-1,-1,999764,93589,707995,-1,123083,-1,-1,-1,-1,-1,-1,-1,147603,330905,-1,204191,836180,493830,-1,-1,181412,440335,58356,432471,961965,-1,801061,-1,975462,-1,898543,341690,589665,-1,-1,-1,-1,716322,560958,-1,-1,741933,-1,640984,-1,193179,976832,626673,842362,-1,929128,139389,-1,307908,-1,42275,-1,-1,-1,-1,65977,337938,134074,-1,307436,407029,603828,-1,345992,67750,499603,32162,796557,761804,357188,-1,-1,205344,422212,-1,777698,-1,-1,848529,-1,-1,-1,724094,-1,374701,299733,353849,-1,-1,-1,-1,-1,380683,-1,249291,-1,-1,735166,969763,-1,304007,-1,-1,-1,249981,-1,-1,-1,455170,-1,891807,188451,750578,-1,123991,250183,-1,381968,206426,358174,-1,-1,224986,316507,-1,-1,850247,887159,-1,-1,-1,-1,245094,823399,501292,400991,270476,-1,255068,573240,-1,174104,-1,-1,-1,485542,-1,-1,-1,365154,622930,-1,679679,331672,-1,85846,-1,-1,688417,-1,977542,921215,-1,-1,-1,950694,76454,400600,-1,41970,29694,-1,490447,-1,-1,668240,182827,55768,-1,794057,207234,520183,533702,93900,724875,-1,885018,995914,-1,880313,343937,180417,-1,221673,-1,805394,64089,-1,856722,443360,-1,-1,918596,240219,-1,261089,52957,754955,-1,-1,307459,-1,375912,897468,422145,-1,346433,-1,35325,608872,208694,724365,-1,-1,735510,-1,-1,361916,-1,508424,182267,82778,25445,-1,103160,61204,985756,-1,-1,281856,763078,-1,979701,-1,-1,-1,-1,-1,905586,-1,731928,-1,-1,-1,-1,651148,-1,955180,377692,-1,-1,754112,-1,-1,985972,58998,-1,-1,-1,393107,-1,152703,-1,-1,788411,18916,-1,177324,-1,-1,545044,488143,-1,-1,74533,-1,190322,482005,-1,58700,71993,-1,-1,-1,928011,271866,690264,-1,-1,132318,732554,825862,320686,486571,781221,-1,-1,-1,147250,860993,77365,-1,-1,204798,-1,-1,-1,283953,-1,112478,-1,-1,669574,768723,-1,-1,-1,-1,-1,442779,-1,-1,-1,-1,-1,545443,-1,-1,-1,7265,776468,-1,-1,-1,-1,-1,-1,-1,170943,-1,-1,-1,-1,162770,372008,609254,263828,972732,452174,-1,-1,-1,-1,-1,683193,860786,-1,-1,-1,-1,-1,409659,-1,597831,366914,639129,-1,-1,-1,753867,985688,-1,-1,-1,-1,-1,-1,-1,43403,95384,-1,-1,-1,-1,-1,835478,234765,131975,609813,596362,-1,174320,751211,-1,254666,-1,-1,627089,-1,-1,-1,-1,376748,239964,-1,675469,210867,-1,943371,-1,-1,660323,-1,-1,690482,66266,564879,-1,837147,-1,136346,4900,948878,183377,90851,-1,560634,763266,-1,-1,948025,38184,-1,-1,256260,-1,-1,683937,877997,300854,-1,-1,134641,-1,381800,537490,802659,576982,-1,713613,67514,-1,828147,674921,221269,486753,-1,-1,468946,-1,693112,791390,-1,-1,-1,-1,-1,-1,-1,427256,-1,-1,547721,-1,-1,409391,-1,-1,-1,-1,937692,546363,-1,395665,-1,-1,786253,-1,-1,-1,-1,99965,786459,-1,-1,-1,952034,-1,765597,263616,-1,144563,884673,549398,-1,-1,435701,-1,607446,723372,-1,-1,-1,751307,789457,-1,-1,-1,798112,-1,-1,-1,-1,813463,-1,-1,-1,-1,-1,-1,558048,-1,485360,-1,-1,957319,-1,807591,-1,539525,182396,906429,564051,-1,-1,-1,33687,-1,-1,728909,-1,-1,-1,-1,907777,734213,291035,6919,-1,949620,704207,833052,-1,934526,-1,141592,-1,-1,212203,315302,256452,670836,953023,-1,88826,952278,-1,-1,-1,281139,-1,723661,-1,-1,-1,774647,-1,-1,317349,951493,93893,42841,363453,-1,33126,798979,-1,-1,646711,-1,136477,-1,324349,-1,-1,999255,80751,2761,455871,-1,651193,134242,780116,-1,712492,733711,147802,-1,-1,722453,830685,-1,931889,457510,-1,-1,482759,102648,-1,-1,-1,483344,883636,604330,996677,51574,-1,211864,637627,843259,-1,-1,469735,-1,49898,683191,468201,134378,359775,-1,-1,-1,-1,715162,-1,426381,410722,252911,253390,439221,385441,-1,199726,-1,-1,858757,-1,-1,124914,-1,366375,427027,939548,-1,904453,-1,-1,235141,755208,657717,-1,-1,254602,258306,972073,204608,-1,-1,-1,433342,-1,847736,-1,-1,-1,99780,420090,555164,-1,461263,456104,114259,183131,226374,495062,-1,-1,-1,-1,-1,104558,445457,929391,22502,852119,-1,-1,-1,859844,363513,-1,174808,-1,-1,595070,985927,-1,-1,-1,117103,-1,-1,439713,255984,673879,-1,-1,-1,-1,697434,-1,361234,81417,198064,-1,-1,-1,514150,72457,-1,474103,-1,460317,-1,-1,-1,-1,653666,486632,77948,-1,13118,949275,272938,872793,-1,683894,-1,514019,-1,-1,-1,-1,-1,977392,-1,842465,-1,-1,388673,358193,-1,-1,-1,656191,-1,-1,436018,-1,956480,-1,-1,38245,747189,-1,-1,345211,-1,-1,331167,881575,-1,252793,-1,632395,215324,-1,166058,-1,139994,-1,81547,-1,-1,-1,681026,538907,-1,-1,-1,867633,-1,-1,864308,563385,-1,916789,801330,677196,-1,723786,826624,-1,-1,-1,225414,32212,173553,-1,-1,88658,-1,-1,456677,688146,387227,580214,922900,84159,23870,978826,-1,734181,130569,832992,490491,-1,-1,660429,417180,-1,-1,865295,325268,-1,313544,-1,-1,-1,-1,703770,834928,836417,-1,974814,-1,537083,325351,881508,307479,-1,251339,532902,-1,-1,496719,-1,-1,-1,-1,-1,-1,-1,-1,802291,105102,-1,-1,619393,888948,115716,-1,-1,-1,46757,465469,178027,-1,858472,-1,105335,633010,331869,219687,768893,747982,120206,-1,327144,-1,122989,583025,-1,565980,-1,89578,-1,-1,-1,-1,689919,-1,324310,-1,-1,-1,-1,578656,837322,-1,-1,619408,-1,-1,996205,-1,-1,-1,-1,-1,-1,600095,-1,43027,803584,253429,-1,-1,636389,798019,289647,-1,513932,315045,-1,986352,-1,720350,-1,-1,130176,878286,939234,-1,-1,553612,-1,-1,-1,813200,-1,-1,-1,830305,-1,-1,-1,639734,-1,-1,538951,-1,-1,872872,-1,-1,895082,985473,861108,839155,-1,580856,-1,286266,947154,145663,157776,648778,534170,790614,997019,-1,-1,-1,49719,968452,785669,182289,-1,769609,-1,88667,893359,-1,-1,594370,120107,650676,-1,-1,13791,665634,848148,-1,-1,-1,-1,-1,-1,-1,442077,-1,906931,-1,-1,-1,-1,123854,632045,432674,904148,360588,-1,35784,39020,-1,127192,-1,-1,884832,-1,-1,-1,-1,-1,42888,437207,706742,720969,-1,386896,616158,646212,-1,377213,773994,544836,480512,398143,918693,872929,-1,34267,555822,486392,474604,-1,968740,34758,-1,347268,-1,-1,774191,880549,614122,-1,782559,-1,-1,417008,-1,-1,239898,-1,226364,-1,-1,680450,82140,351225,55909,-1,826392,275955,771223,-1,684778,931155,132983,743046,814552,-1,-1,656344,235654,-1,-1,756194,-1,-1,669338,-1,843840,712918,-1,-1,889274,-1,-1,538670,476588,-1,826340,-1,-1,279137,312778,-1,303141,-1,476715,-1,460590,-1,-1,220296,-1,844188,254822,-1,-1,546879,963800,-1,880576,-1,-1,-1,-1,-1,-1,-1,590287,204732,-1,-1,269677,-1,268197,-1,868865,-1,40575,572918,-1,362116,-1,577088,-1,-1,229711,-1,507717,61174,-1,384700,106922,-1,803766,-1,563308,987276,569409,476585,-1,762603,14252,475966,427612,269518,-1,520487,436347,669996,997449,-1,116763,284256,696621,-1,-1,-1,-1,82582,815975,-1,213678,521051,-1,538539,225047,747602,-1,438950,447279,913593,-1,109089,-1,342628,-1,569367,-1,-1,-1,290507,-1,-1,-1,498151,-1,-1,293052,509161,880925,-1,-1,-1,604985,-1,-1,430388,-1,324661,-1,464049,206598,70293,-1,432531,172139,267058,-1,100189,10451,-1,-1,-1,-1,657861,423838,421191,975556,-1,-1,-1,-1,70961,-1,-1,563277,-1,829091,695056,-1,372612,-1,798661,873854,85625,-1,-1,-1,375799,614334,-1,-1,-1,-1,-1,-1,317985,-1,-1,711414,-1,-1,-1,-1,487303,758168,434509,-1,-1,938838,-1,-1,111463,245443,296840,638297,623220,-1,-1,90202,274019,-1,-1,855436,-1,440893,-1,-1,499599,430795,956392,425373,538482,36569,-1,-1,505414,155576,-1,395334,348660,-1,218634,872934,294272,-1,-1,-1,206049,595476,-1,-1,-1,549574,328992,730857,-1,62225,160028,-1,-1,-1,902496,-1,238377,-1,839694,-1,-1,908251,-1,-1,-1,759242,621324,-1,81642,539890,892619,-1,-1,-1,724886,79491,726770,-1,194362,314900,-1,-1,-1,295107,-1,-1,-1,243536,-1,102631,-1,27443,-1,-1,54063,-1,593635,-1,280107,-1,-1,-1,-1,-1,-1,-1,999339,591114,150301,-1,156073,-1,479391,-1,-1,381702,-1,295285,804924,-1,-1,-1,656184,-1,-1,-1,-1,-1,505159,-1,590032,-1,-1,664699,389987,986089,101786,-1,584080,164242,-1,-1,-1,-1,-1,-1,-1,564324,-1,614202,-1,-1,570088,577683,954269,315502,59379,-1,-1,609545,920225,765607,-1,-1,196513,276348,232652,76104,-1,-1,387406,976316,-1,796057,954527,600270,-1,113901,-1,370208,345216,37268,391094,613599,-1,663671,156064,-1,-1,-1,-1,1925,-1,309111,-1,-1,311393,-1,841654,-1,801246,-1,-1,431426,615509,-1,-1,-1,904403,748631,912179,-1,-1,-1,800909,-1,954769,947224,-1,66941,721233,-1,-1,-1,-1,-1,311267,421306,256262,-1,110317,15475,152754,36551,-1,54577,-1,-1,474106,-1,-1,-1,-1,-1,103265,430837,-1,664718,965188,-1,-1,-1,932107,-1,-1,-1,512105,612256,208327,981177,-1,811836,-1,-1,942399,-1,-1,941577,817526,-1,-1,136139,810267,-1,-1,165489,-1,-1,84226,-1,-1,-1,-1,-1,786729,-1,-1,125844,310953,375606,-1,755752,690131,393590,-1,894561,435783,-1,-1,402661,-1,758010,223010,-1,204837,-1,-1,-1,540864,941523,198347,-1,-1,-1,-1,-1,649970,-1,-1,-1,-1,-1,814583,-1,941891,807306,-1,125843,306732,-1,265952,590536,45741,-1,430647,603590,95877,-1,769494,-1,-1,32676,-1,718267,-1,-1,-1,243527,-1,969603,-1,-1,-1,683834,823451,-1,68045,-1,-1,-1,589087,-1,-1,-1,-1,-1,245318,268569,444979,-1,72285,26847,423183,831498,-1,43787,-1,672175,350918,-1,51307,356211,-1,-1,-1,653621,-1,311037,374276,-1,-1,773912,94981,666893,-1,-1,376642,-1,855530,281143,307665,-1,587657,-1,286943,32984,-1,-1,245526,-1,417084,951509,-1,-1,-1,-1,-1,-1,880586,-1,-1,-1,482629,-1,-1,180475,-1,-1,-1,-1,104128,-1,-1,908163,-1,91072,-1,-1,-1,864327,-1,-1,493568,10128,-1,990422,-1,248823,-1,-1,678086,161576,678159,-1,240852,-1,-1,533426,-1,-1,289172,457483,-1,-1,242338,607961,211157,286777,489598,-1,325071,-1,-1,-1,-1,-1,-1,-1,782476,820639,-1,999589,82806,112634,-1,704436,465202,129651,-1,936332,827326,888134,-1,321924,-1,-1,-1,-1,315423,-1,-1,-1,808713,-1,-1,965114,-1,-1,33789,493630,556300,456993,-1,184948,443570,46225,-1,242197,-1,127734,611446,613436,-1,652515,-1,461788,-1,910846,-1,-1,-1,332204,948245,21243,470578,-1,815751,588211,376082,52976,-1,586893,-1,-1,-1,993586,-1,25974,474245,398418,-1,613271,904975,-1,-1,-1,-1,455849,-1,-1,-1,315322,881233,-1,542022,383583,903304,96276,-1,-1,-1,434930,173271,423291,72464,702957,85993,702639,-1,835727,-1,420577,-1,429280,283991,-1,-1,-1,-1,-1,-1,895024,887829,-1,652063,549716,928725,-1,544858,375587,136443,495446,-1,-1,182681,891041,-1,-1,274581,-1,-1,-1,337321,-1,810880,489512,921985,-1,-1,-1,-1,844466,-1,390875,-1,223413,978523,-1,99630,458839,-1,-1,435804,-1,847052,-1,341751,-1,653233,259423,-1,341373,-1,374153,479836,672922,291588,546338,-1,-1,-1,982493,204346,876148,-1,-1,441629,777747,-1,959069,-1,-1,999460,-1,100115,416771,-1,-1,-1,-1,-1,-1,574335,795460,828960,131141,-1,38511,-1,524390,-1,998752,703045,-1,707508,180779,564189,-1,-1,227947,-1,64222,-1,-1,-1,672069,-1,963403,793473,-1,-1,475401,-1,16625,520377,841454,832118,893162,-1,-1,-1,-1,-1,354217,161626,610092,-1,357490,109447,752611,944728,-1,-1,533444,-1,-1,331684,-1,-1,946113,867876,574899,-1,607019,-1,833069,-1,444474,-1,-1,-1,-1,-1,-1,825540,-1,-1,807231,734560,-1,-1,-1,753949,-1,598944,258840,149639,705846,614574,438614,731122,354371,258151,253053,135869,-1,523297,622903,700014,-1,-1,652886,-1,311500,445279,-1,397696,241789,-1,-1,-1,-1,470168,692921,-1,-1,535336,496144,-1,975567,698361,-1,-1,351441,759981,241159,594570,-1,847392,-1,-1,658247,171782,-1,850663,-1,-1,94138,-1,-1,230728,768565,-1,496335,226496,-1,967596,-1,592461,-1,851595,622487,252574,-1,-1,-1,-1,407033,327358,795238,-1,446738,965924,-1,694872,538437,182255,417732,288314,61391,-1,-1,328165,23077,-1,876794,215730,454329,-1,668124,-1,-1,285579,-1,540809,-1,-1,-1,796562,-1,219526,-1,-1,-1,643583,331674,-1,-1,594949,224767,-1,905015,-1,889260,-1,-1,5105,819731,-1,-1,407920,108897,-1,55458,519536,645855,-1,-1,381368,-1,-1,-1,676638,-1,953909,-1,-1,-1,320178,559699,-1,-1,-1,-1,464541,-1,447855,-1,-1,888064,149768,-1,-1,647979,815012,197455,585938,159548,753325,-1,-1,-1,282920,393996,-1,-1,-1,-1,100358,909826,-1,-1,946375,-1,-1,-1,-1,-1,-1,694162,129969,702268,-1,-1,-1,-1,-1,438266,473373,-1,431390,464507,854764,888261,-1,-1,-1,258442,-1,453101,493796,68558,492772,-1,796820,-1,788529,-1,898387,-1,-1,82068,687372,-1,-1,146064,-1,-1,725698,-1,-1,-1,168342,-1,-1,-1,501802,386473,-1,4895,889176,519416,-1,161532,954790,-1,-1,-1,439059,414968,-1,317081,-1,-1,-1,869548,-1,989411,-1,652287,-1,111598,527419,191401,144361,14781,952364,201993,211312,814803,433708,-1,119212,-1,-1,-1,-1,-1,-1,474682,-1,-1,-1,404701,-1,-1,261677,-1,-1,144733,590016,-1,-1,846689,892538,-1,44771,-1,237327,26003,-1,422886,481040,-1,-1,-1,-1,797926,-1,-1,-1,125423,563845,-1,11862,882645,90523,463110,-1,-1,-1,378090,622548,631305,637819,-1,-1,962863,398620,-1,656465,67468,957648,-1,247693,1341,-1,714172,-1,-1,-1,859786,-1,210213,735362,-1,-1,-1,501719,327485,156599,-1,651500,-1,-1,-1,223908,-1,131701,-1,984289,135607,-1,786842,-1,-1,-1,-1,-1,924506,790512,643370,-1,977543,367393,935854,-1,880293,165947,73216,-1,301279,69466,-1,989995,-1,960971,941253,829734,988135,-1,-1,-1,746523,772687,248553,-1,18249,745843,318402,843859,-1,303156,-1,-1,451894,577954,-1,851210,-1,-1,472832,-1,367721,-1,672924,-1,863213,-1,246079,-1,-1,-1,-1,-1,-1,656400,210640,91619,-1,-1,425596,479033,818216,418441,664943,-1,-1,-1,34258,-1,346454,-1,484162,-1,702962,169363,-1,-1,-1,254406,-1,-1,-1,-1,-1,883773,-1,-1,496133,2218,928342,940753,101787,-1,-1,433339,494984,205293,-1,79371,741540,-1,571709,-1,912436,-1,-1,428667,201918,450677,-1,-1,-1,354169,-1,-1,-1,-1,-1,90970,285166,-1,-1,843709,394722,977325,600352,10153,935626,977042,-1,769174,-1,-1,276590,457873,257528,-1,-1,-1,275864,-1,690896,-1,717127,50613,-1,-1,296190,577144,644173,-1,437981,999779,213605,423607,-1,-1,-1,567563,462116,-1,264858,350901,160009,812394,-1,-1,-1,632693,-1,138656,-1,-1,288164,-1,-1,-1,743771,471003,191093,254637,-1,-1,-1,-1,-1,650066,-1,-1,-1,476714,-1,-1,-1,-1,-1,252736,-1,723167,-1,-1,-1,222833,626300,134929,733915,788607,-1,-1,707480,-1,-1,-1,-1,101998,563575,378231,-1,-1,263541,818955,-1,-1,109224,-1,-1,539940,-1,695169,587423,141528,723722,311918,-1,505804,-1,552321,-1,947164,-1,-1,746961,-1,917442,-1,401740,822162,82264,-1,672625,293658,-1,-1,-1,-1,866933,615331,967895,647944,854180,-1,831118,220780,240527,701446,-1,-1,-1,13718,-1,642726,-1,116097,-1,-1,-1,618939,-1,-1,-1,-1,425246,-1,721015,-1,-1,810216,-1,-1,848846,716552,209275,610540,427546,-1,-1,-1,781956,847664,67019,-1,218986,979474,-1,200177,-1,609427,-1,-1,-1,881650,518164,429822,438420,62004,-1,-1,-1,867225,-1,-1,391090,512444,388014,488515,-1,-1,-1,-1,348933,194361,-1,247781,-1,492398,-1,-1,-1,-1,59432,-1,253443,-1,-1,-1,547032,791354,681643,670237,480213,-1,66540,-1,-1,545145,-1,-1,-1,685805,-1,823555,-1,-1,336598,449066,140481,562153,-1,-1,-1,623526,-1,-1,-1,251900,717507,946143,832713,767808,-1,405450,-1,-1,258903,969442,-1,771680,-1,163000,-1,-1,514211,-1,-1,-1,280047,13536,192969,703452,794742,-1,249383,-1,-1,51344,34330,731961,-1,553660,220955,56978,-1,-1,104936,-1,-1,-1,-1,-1,963113,-1,658110,-1,259688,2038,-1,945134,525112,772077,245463,-1,627505,-1,274988,-1,-1,-1,-1,-1,592883,-1,-1,-1,288453,110009,-1,869650,-1,-1,-1,-1,612561,-1,634617,-1,84343,-1,733270,969578,-1,41414,-1,-1,-1,-1,605975,-1,-1,-1,-1,68061,766962,-1,-1,-1,753787,317524,366079,905209,-1,657995,267342,45951,539015,638980,-1,-1,-1,795593,48020,492575,930960,158989,233008,53549,780333,608027,376204,499750,-1,-1,-1,-1,-1,-1,-1,306608,-1,-1,-1,12372,257573,-1,525225,686023,101383,604988,-1,438774,-1,-1,-1,729759,-1,143841,-1,669812,-1,-1,-1,670086,866452,-1,-1,448841,653617,-1,805731,785576,891673,114161,-1,411216,69572,-1,-1,-1,944399,205813,308568,-1,-1,-1,-1,684896,560216,983331,-1,-1,-1,-1,558325,-1,-1,-1,-1,-1,555482,612376,-1,-1,-1,617235,-1,-1,570367,784523,231321,-1,-1,601721,148130,-1,-1,-1,-1,-1,-1,-1,684450,235515,-1,-1,436654,836790,499578,298979,208464,-1,-1,398862,100584,920326,255341,-1,702959,685261,425603,-1,-1,-1,-1,74269,404513,-1,-1,-1,-1,-1,480674,-1,38223,6029,893496,-1,-1,465231,801463,-1,756092,-1,-1,384613,-1,-1,106075,534453,-1,-1,-1,-1,3117,273392,447225,943410,-1,-1,-1,-1,-1,-1,803652,-1,444855,-1,439657,201054,282862,-1,-1,291592,-1,191432,-1,-1,918050,694991,197581,-1,-1,-1,-1,972746,-1,272834,-1,915270,648186,671178,267821,744813,-1,324221,-1,191177,495274,-1,376423,-1,862785,-1,-1,314010,235338,-1,-1,-1,258524,453240,-1,-1,-1,-1,-1,169592,-1,-1,-1,-1,843115,879032,-1,849923,512060,309172,437620,92765,645033,184208,-1,-1,672475,773837,904466,-1,-1,-1,-1,-1,-1,-1,454176,-1,24867,100483,715395,-1,630695,-1,-1,47250,-1,-1,-1,187147,-1,729107,-1,-1,482504,832812,884973,435853,599326,-1,634986,701134,-1,-1,273469,656891,-1,-1,798250,-1,316127,113627,-1,790045,-1,684678,-1,-1,70336,528308,-1,-1,806661,-1,-1,-1,-1,442380,-1,330792,-1,-1,-1,-1,471012,434897,845288,573210,-1,-1,905029,370065,626185,541678,930187,-1,934352,288409,-1,-1,271355,673223,190686,50797,-1,-1,480384,474401,-1,-1,-1,610783,-1,883970,422081,-1,218863,248925,795131,-1,573015,-1,-1,-1,225594,80715,-1,-1,79036,-1,862910,981257,295140,-1,171885,802268,151553,-1,-1,643506,-1,-1,396680,-1,-1,-1,56563,16698,504117,942408,-1,-1,78027,-1,-1,54261,-1,485569,-1,-1,-1,800398,-1,918574,307348,-1,-1,-1,264928,241700,473347,464306,-1,-1,412508,416680,-1,752196,611205,-1,798148,-1,-1,-1,-1,978070,488039,268578,276245,-1,275749,-1,-1,-1,298257,637212,417576,253982,991469,469142,-1,488037,-1,-1,-1,778053,225105,-1,-1,820421,852908,357418,578060,-1,960930,-1,-1,-1,778118,833082,306150,989488,-1,-1,334900,-1,881780,-1,-1,832854,-1,-1,903348,-1,248966,695913,64575,59513,892019,868182,-1,144814,-1,8039,-1,329547,674564,-1,-1,-1,-1,-1,-1,-1,955209,524732,67657,-1,-1,781326,168191,29274,-1,-1,179283,754436,-1,81550,-1,811350,625811,433295,555124,-1,-1,658389,152141,179307,320675,-1,245986,933721,-1,-1,-1,-1,-1,195383,194405,-1,-1,312681,675044,876750,-1,130790,626374,13355,-1,-1,257680,164161,-1,163613,-1,-1,-1,-1,-1,515162,379013,-1,241909,-1,-1,-1,-1,-1,239719,-1,-1,-1,-1,-1,119654,588780,993001,57761,-1,343819,929224,375600,574438,-1,538685,-1,-1,450809,821785,543250,4031,903689,137749,680840,424717,-1,-1,483428,19043,367347,-1,467212,144619,990057,541352,978007,168643,-1,749354,66212,48755,494202,-1,-1,287266,-1,-1,757216,-1,807749,-1,756908,424976,-1,-1,511823,-1,950603,453193,206615,506916,-1,563650,509218,35952,-1,889336,-1,278741,-1,-1,-1,-1,-1,-1,-1,-1,582791,-1,-1,495372,329685,910640,274550,-1,824567,474915,598165,311883,393314,-1,-1,945615,397013,562420,680881,-1,-1,-1,-1,496245,-1,-1,-1,-1,-1,-1,546273,-1,868774,-1,-1,49956,909449,941578,-1,587985,-1,64194,-1,172849,-1,-1,-1,-1,-1,673841,787175,188695,-1,351755,421402,619374,910403,-1,293168,404755,-1,161385,-1,129149,-1,74781,185874,903372,762198,-1,-1,876085,-1,232045,795421,-1,735950,-1,522371,-1,-1,-1,918772,667960,100430,632622,250918,-1,-1,202132,-1,-1,-1,776956,-1,-1,583323,901066,-1,98727,-1,-1,-1,878531,-1,-1,-1,745351,540195,63796,-1,-1,607675,-1,-1,445555,433454,-1,-1,295922,-1,-1,245268,390612,-1,447412,-1,-1,483019,901732,841336,-1,348113,396362,5470,159402,-1,-1,-1,659537,38766,167295,505111,354571,-1,-1,518946,-1,198180,508527,-1,-1,648839,-1,580090,614932,549721,664649,-1,470037,-1,-1,-1,-1,-1,952351,-1,-1,917049,-1,470263,952558,-1,-1,463750,-1,673093,-1,312530,434461,-1,562719,-1,-1,-1,-1,45083,-1,501066,-1,169641,68043,-1,-1,-1,967887,-1,-1,-1,163709,60105,700633,85781,353634,-1,-1,-1,756360,700383,473869,-1,-1,509547,-1,-1,-1,80329,-1,-1,514702,530318,-1,-1,80022,937139,318264,584819,124391,-1,-1,694773,996127,-1,-1,-1,911015,798410,-1,-1,-1,26457,321564,-1,-1,892148,852333,-1,904468,-1,163610,438424,94024,-1,-1,-1,610042,-1,502254,-1,-1,823179,30229,-1,546236,-1,379891,106293,-1,-1,-1,-1,218242,202978,909140,-1,892028,-1,-1,134963,892293,-1,126294,-1,336810,61124,-1,117989,248241,-1,990113,-1,-1,-1,-1,374035,-1,-1,600485,757727,980045,364480,-1,483155,-1,706566,-1,636654,408129,714926,296578,683619,-1,608972,274206,828232,358548,-1,-1,41997,-1,496200,931933,-1,191892,-1,767860,-1,-1,-1,417069,751846,-1,650568,-1,924684,441555,-1,942169,-1,-1,-1,-1,-1,887947,-1,-1,80246,809780,-1,657543,-1,755955,115009,-1,-1,-1,144339,113993,-1,111336,673798,-1,255897,-1,216757,882434,-1,-1,-1,204166,491309,-1,919749,625904,-1,679941,913777,-1,-1,-1,495024,-1,-1,788837,698155,243603,-1,201535,-1,229234,198528,-1,927999,-1,-1,-1,-1,500852,659024,-1,714948,-1,371567,-1,-1,538359,406581,397157,-1,142762,166406,-1,-1,186395,-1,-1,971602,-1,-1,929344,-1,52676,36031,249518,676244,-1,-1,-1,527571,102619,955877,785144,373734,570317,-1,-1,177774,557619,-1,-1,-1,-1,694065,-1,-1,-1,438452,-1,-1,-1,-1,787246,-1,-1,819656,-1,-1,-1,-1,-1,435560,944413,94770,-1,-1,-1,-1,-1,872841,738388,917078,-1,-1,-1,-1,-1,627838,-1,366575,932632,-1,-1,499738,68445,940994,-1,11894,199029,-1,-1,306139,-1,173902,-1,355834,976395,402357,354733,807039,-1,-1,-1,966428,-1,-1,-1,-1,41844,-1,-1,615081,-1,-1,222708,-1,245172,-1,-1,-1,-1,-1,140121,-1,653124,-1,-1,-1,-1,-1,-1,989493,-1,967803,-1,295335,-1,163855,-1,901454,17728,329662,683073,697859,-1,-1,239625,-1,-1,738243,4705,624388,-1,384968,738351,878343,747188,-1,-1,-1,620310,-1,-1,-1,-1,786593,-1,108470,174545,-1,211060,-1,281988,350235,602772,727667,-1,-1,388978,684316,-1,-1,393417,541761,-1,408111,707120,368621,4240,-1,-1,-1,690642,-1,-1,894959,722508,-1,992830,418705,199454,655618,-1,-1,-1,-1,206303,-1,-1,-1,839268,518265,801023,796565,737578,162701,326834,-1,-1,831348,982768,281468,-1,-1,-1,113850,-1,-1,-1,506154,-1,-1,-1,948341,275942,-1,-1,-1,819808,-1,-1,756086,-1,787722,44410,452080,458911,741399,635540,127297,267142,604754,-1,62560,579868,251084,479708,377845,-1,345706,-1,-1,238551,59217,-1,-1,918299,-1,-1,-1,-1,923389,754210,374732,11703,205821,868519,35745,-1,133647,-1,-1,-1,-1,428484,298806,447764,-1,489954,-1,-1,-1,-1,65896,129179,641436,-1,-1,-1,365518,357330,-1,828417,-1,693625,-1,-1,886663,-1,780907,949015,582086,317327,-1,-1,546828,-1,-1,629617,586885,-1,913968,-1,798002,83804,-1,-1,165532,158838,534910,-1,-1,-1,268828,968737,-1,943677,-1,610769,795090,604551,-1,-1,193733,525003,342489,-1,-1,928027,375973,-1,704652,-1,-1,-1,746459,317743,496815,-1,-1,-1,-1,328520,296563,-1,-1,-1,196623,112306,-1,-1,-1,120144,892196,129834,-1,-1,-1,-1,-1,691956,418090,475151,484867,-1,-1,22944,780557,-1,94714,-1,619146,284075,222384,634173,95376,-1,995022,-1,-1,-1,804541,-1,549954,-1,-1,-1,4673,-1,-1,389744,-1,-1,757416,-1,674145,-1,-1,-1,-1,-1,473279,421735,410122,379117,-1,912600,597876,-1,-1,519142,-1,-1,376677,-1,-1,-1,359568,402926,869580,-1,-1,-1,-1,847727,-1,-1,281731,-1,234052,-1,420280,934677,61376,594834,568571,795547,-1,860929,703156,511748,234808,-1,921621,455814,-1,531462,-1,-1,-1,-1,-1,-1,335188,-1,481441,-1,934381,-1,-1,-1,-1,831748,-1,463478,26776,-1,552106,173364,735118,-1,613992,-1,-1,-1,982389,770313,221276,871097,-1,715221,337290,991405,825431,149434,613234,490056,446579,-1,231983,293155,299339,-1,888203,-1,-1,-1,-1,-1,-1,609169,334665,-1,-1,-1,932726,-1,-1,742171,-1,-1,-1,-1,-1,931848,-1,625390,329800,-1,-1,-1,-1,478445,832609,853272,-1,702066,-1,-1,150065,598114,834696,805869,349656,-1,457945,-1,-1,-1,417078,-1,491628,-1,853982,42742,777688,853179,-1,379114,342786,853661,313466,71024,4844,230536,281386,240307,-1,281152,469049,-1,-1,-1,135734,-1,-1,898404,103734,-1,-1,-1,-1,-1,610608,-1,-1,-1,-1,-1,-1,177544,303425,-1,-1,389534,-1,356286,825720,-1,-1,-1,528813,396012,742904,-1,309723,-1,729443,-1,-1,332657,-1,626192,-1,-1,308871,-1,313402,313115,-1,246215,160017,-1,522321,-1,-1,-1,-1,539368,-1,815621,-1,108828,-1,-1,-1,686673,-1,-1,-1,-1,-1,-1,-1,375315,-1,-1,-1,396497,-1,208536,200052,360989,6023,-1,-1,-1,-1,578219,514479,-1,940037,328967,-1,442053,51179,725543,708853,263940,736557,430965,-1,530784,727938,-1,-1,594931,-1,-1,-1,-1,440629,-1,-1,798991,-1,-1,-1,-1,336922,-1,140265,321918,-1,514645,-1,-1,-1,-1,-1,700302,771610,429883,112912,822535,246746,-1,-1,781697,-1,-1,-1,-1,429773,656305,24265,883056,202544,-1,716555,-1,-1,-1,859031,456479,-1,653870,668923,950402,389844,-1,-1,-1,-1,698967,-1,197938,-1,304031,-1,-1,-1,339118,-1,-1,-1,-1,489858,327512,113829,-1,-1,141471,958027,709883,-1,-1,-1,-1,-1,-1,813277,435583,431573,-1,-1,-1,592238,-1,523411,-1,-1,200411,712431,-1,662960,-1,-1,-1,437070,114741,803443,508901,-1,-1,-1,-1,-1,-1,7110,648017,-1,-1,-1,-1,555842,530423,218382,506893,112221,788848,438102,-1,263933,960475,945002,102442,626829,-1,318674,-1,157073,-1,-1,-1,810046,910313,274174,-1,103969,574404,-1,894424,-1,-1,-1,25236,-1,550014,-1,-1,284620,-1,905364,577900,-1,644433,44519,-1,272457,-1,195949,759301,902389,-1,538575,-1,-1,-1,143541,-1,884002,874862,606930,-1,-1,-1,-1,771999,-1,569303,889616,927461,666867,-1,-1,493980,557325,-1,-1,597190,-1,-1,-1,-1,-1,471823,-1,-1,-1,-1,24582,49862,839895,142529,473415,-1,142805,-1,346519,-1,-1,-1,84283,-1,45443,-1,-1,264198,241941,-1,-1,978414,110192,971686,475108,793386,-1,159418,-1,107713,551090,-1,-1,535541,827479,841500,-1,819510,-1,68353,284467,-1,509593,983247,-1,791671,713965,465852,401306,-1,-1,-1,-1,-1,476780,15904,-1,-1,-1,315458,966113,-1,263572,296268,843249,-1,354944,827539,-1,289745,-1,-1,561854,-1,880181,687357,456900,-1,583971,-1,366160,-1,419273,332619,-1,-1,-1,-1,630744,866403,-1,-1,-1,-1,-1,-1,72393,-1,983444,983160,390706,436888,56792,-1,-1,531811,-1,-1,68867,-1,366508,-1,-1,328061,-1,792897,603277,222328,390256,-1,610338,459468,-1,-1,-1,202458,-1,-1,-1,678272,-1,-1,83737,682540,963492,-1,-1,281352,-1,717068,420438,-1,412299,-1,-1,878187,245207,-1,744626,-1,-1,780655,262838,231700,401225,-1,-1,-1,606173,747945,963870,370301,-1,-1,-1,371352,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,888238,437315,326630,291446,243298,190346,-1,398493,321257,577097,716401,373474,-1,-1,-1,-1,-1,-1,-1,397274,-1,289688,-1,-1,-1,262093,-1,-1,220146,-1,261453,-1,625454,-1,256740,-1,-1,991373,-1,-1,-1,45984,-1,177356,164716,-1,-1,51413,20446,689751,-1,527554,-1,-1,64377,-1,321765,295697,986599,-1,-1,692425,367597,-1,112594,679480,54780,603082,350242,778900,152361,105314,590058,934479,-1,404556,-1,411433,607420,622933,138556,-1,593322,-1,-1,-1,-1,205084,-1,-1,-1,-1,-1,578971,-1,-1,-1,307534,-1,720656,445418,-1,594007,-1,-1,-1,-1,-1,-1,-1,-1,743935,182645,-1,-1,334205,-1,-1,172543,896307,-1,-1,307556,506870,917479,-1,-1,842261,538982,-1,-1,-1,-1,800337,-1,987706,-1,-1,858645,132379,-1,378621,369062,-1,328943,-1,685541,-1,-1,5814,949131,-1,551257,-1,613449,-1,7235,937537,-1,715022,808944,292938,581047,390851,965418,148295,847548,683913,-1,-1,299060,-1,-1,356005,690412,911291,-1,456244,27653,-1,-1,690036,-1,-1,295802,923645,82155,9080,-1,-1,422538,-1,298213,-1,-1,511590,835822,248889,-1,847095,-1,-1,-1,533863,-1,188038,-1,452396,-1,927110,-1,-1,729532,-1,841765,-1,971885,846699,-1,124687,-1,-1,-1,751308,-1,44475,314630,-1,978103,-1,312468,901489,-1,642145,-1,218396,253391,-1,200715,70458,171652,827153,-1,-1,444804,-1,-1,-1,-1,-1,-1,48919,-1,-1,-1,-1,987239,-1,745833,496010,-1,-1,-1,-1,-1,888201,246017,852292,588990,-1,-1,890135,-1,-1,244231,-1,-1,-1,-1,-1,900151,-1,-1,-1,770476,-1,-1,-1,604567,-1,-1,-1,-1,-1,493495,-1,883467,-1,-1,-1,839807,-1,648819,-1,512536,658435,-1,-1,892111,532139,605522,-1,330414,12338,562060,25255,923277,414113,79713,620906,850873,-1,-1,-1,-1,-1,321817,-1,833906,529073,-1,-1,-1,-1,373239,-1,-1,-1,747891,-1,619746,-1,-1,-1,867899,611786,-1,64012,907476,-1,-1,-1,971418,725241,-1,564692,-1,499038,-1,-1,85059,204315,270544,368105,-1,-1,416768,-1,938716,-1,-1,-1,455643,52796,966990,514863,-1,285474,352226,-1,-1,-1,974490,-1,-1,-1,55422,-1,-1,752842,441929,595734,-1,-1,-1,754267,-1,148220,-1,-1,13680,299746,166534,-1,956086,-1,-1,-1,-1,781821,-1,-1,370533,-1,-1,-1,-1,-1,304955,978730,-1,-1,-1,620585,498553,-1,-1,917094,-1,-1,822363,-1,842221,517205,172909,-1,683494,-1,-1,-1,667106,-1,-1,842821,-1,-1,554694,-1,-1,-1,77911,820289,-1,-1,-1,-1,68725,14617,503085,96590,-1,-1,432466,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,365469,184552,-1,736771,-1,722140,927419,199814,639305,796203,143462,-1,669184,818068,-1,470812,914891,114772,-1,99711,490532,225391,893850,-1,820155,-1,8030,893353,866034,128706,819740,697385,-1,-1,874298,654949,-1,998428,-1,905555,-1,-1,132289,269331,-1,-1,310169,527218,-1,65640,200374,-1,-1,742000,413599,-1,219347,-1,312800,429427,218845,28733,-1,-1,235389,253871,-1,709565,198511,183240,123292,-1,-1,-1,360556,-1,-1,615173,-1,-1,-1,-1,706643,-1,511652,-1,936403,648740,-1,592810,-1,723059,129929,-1,-1,-1,-1,85398,-1,773435,896329,-1,-1,209312,-1,-1,-1,-1,-1,537025,-1,930209,-1,554185,853987,84400,235102,-1,498867,-1,-1,-1,-1,-1,-1,741578,-1,-1,81891,141588,388098,-1,-1,146645,246555,-1,-1,424314,945575,719366,-1,-1,-1,-1,545972,424818,-1,-1,205474,-1,-1,-1,-1,583718,858601,897360,-1,-1,-1,783012,-1,260911,-1,-1,-1,963851,770823,910525,-1,-1,-1,-1,-1,964051,154391,-1,-1,-1,-1,168092,728601,362444,137428,454059,-1,-1,344661,-1,35315,-1,640905,-1,509375,-1,621296,-1,-1,227681,378167,-1,-1,58281,-1,-1,721098,-1,188407,-1,-1,-1,217149,865542,-1,167118,943287,-1,115373,101910,-1,-1,623833,23444,217487,169266,206628,-1,-1,195703,-1,435487,862533,-1,-1,-1,919521,540175,54239,-1,-1,-1,241986,-1,604321,38790,789945,-1,-1,-1,989477,-1,-1,991222,-1,-1,720338,969005,-1,108355,352815,497344,-1,-1,-1,-1,-1,986444,-1,525442,851992,908015,344713,-1,-1,-1,-1,127879,879319,-1,-1,-1,-1,-1,981492,-1,587869,735361,228095,-1,217914,-1,188102,-1,82325,-1,-1,123057,642563,-1,-1,431177,-1,210015,-1,-1,-1,97815,263871,16566,354961,107639,-1,414943,-1,205410,-1,528710,321521,488268,928833,990319,-1,207581,-1,-1,934504,-1,72173,-1,227972,700862,-1,47781,-1,931854,659644,212673,956295,731200,-1,-1,-1,-1,-1,665249,-1,-1,944428,745497,-1,-1,837948,-1,955096,187979,586792,57290,-1,-1,-1,-1,417535,-1,-1,268529,-1,-1,-1,-1,679428,311154,836219,270416,220896,35946,-1,204308,456193,-1,23421,-1,649273,971290,-1,261566,-1,-1,-1,-1,529378,-1,-1,300008,428493,-1,455874,819418,435394,905356,948643,593581,-1,-1,730185,-1,-1,-1,-1,351669,82469,-1,759715,-1,970158,872278,21290,-1,-1,243225,-1,-1,510663,673775,-1,251036,989294,-1,804662,-1,636410,773963,282505,-1,727490,-1,-1,549071,-1,516839,440334,376115,179340,30814,284802,-1,-1,424945,466711,-1,658478,726215,-1,-1,-1,-1,569527,-1,273370,-1,-1,-1,98424,-1,361026,-1,-1,-1,601311,476175,538676,876555,-1,245795,-1,34969,92598,-1,590950,399648,456575,-1,794514,-1,-1,102942,-1,-1,-1,-1,-1,666068,866774,625124,-1,671654,665237,-1,-1,-1,936565,17675,-1,-1,604583,-1,331687,-1,-1,-1,509697,301666,891528,570892,-1,292744,-1,-1,199815,-1,118269,842559,417056,583328,717821,365175,257027,-1,-1,599638,-1,-1,-1,760878,-1,180431,934109,52343,871040,-1,80766,-1,-1,-1,-1,-1,810531,838531,-1,-1,-1,106273,-1,125591,-1,999943,-1,666470,398371,1314,540995,137700,649907,267931,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,682039,146693,-1,-1,-1,695447,-1,-1,-1,-1,692730,815925,-1,-1,-1,-1,-1,-1,369645,-1,-1,-1,156755,357574,802813,-1,137501,246931,958866,-1,783562,-1,346917,985163,868761,-1,99560,950185,-1,-1,348644,795369,900402,-1,-1,59116,-1,297258,-1,340452,928511,320927,-1,306317,-1,12581,895430,224569,-1,68683,200888,-1,-1,408827,821886,-1,-1,309204,-1,-1,-1,169438,-1,432,896561,538824,-1,-1,-1,-1,-1,557097,116922,-1,92626,-1,-1,-1,-1,608627,-1,583629,-1,-1,-1,954346,-1,-1,-1,-1,782090,513538,-1,81034,793062,397979,370216,865601,-1,-1,87488,375026,619625,196057,-1,-1,-1,-1,945518,-1,-1,-1,-1,-1,-1,-1,-1,607460,-1,-1,-1,158468,797474,910528,-1,105536,-1,-1,-1,469803,774430,-1,-1,926734,415395,-1,-1,-1,-1,677608,908427,-1,-1,458793,45248,58414,211545,-1,-1,-1,781484,-1,898795,834084,-1,-1,550862,585175,635626,417845,590250,-1,256326,222139,972119,-1,-1,675262,703769,105146,690073,4525,966371,206655,213956,416090,378238,-1,59970,489821,-1,722763,481677,184761,973214,930528,-1,-1,526904,-1,254285,-1,334937,-1,-1,-1,-1,774626,964712,-1,-1,-1,73959,146223,992478,-1,-1,893077,722511,-1,994289,616190,-1,407249,536689,930439,-1,-1,497220,914798,788021,-1,-1,47244,749458,-1,-1,-1,-1,-1,592770,350486,-1,981773,916166,306262,-1,-1,-1,-1,250138,816738,6909,-1,-1,111711,357308,449951,-1,956521,87519,399733,-1,786952,-1,-1,-1,-1,-1,-1,477313,-1,815417,657703,303985,-1,982279,715334,-1,728205,250232,353132,-1,247426,25715,-1,938827,-1,-1,734929,900924,760181,322403,853765,-1,-1,-1,-1,650344,-1,-1,347946,-1,660093,-1,-1,-1,109344,718102,-1,-1,717410,-1,-1,-1,-1,786569,898204,-1,578793,586287,-1,-1,671435,533454,194951,-1,161303,-1,361050,453887,536557,838046,396491,596184,-1,691310,628387,494526,-1,92653,-1,-1,903722,713794,709612,-1,925348,847566,963045,707756,638402,-1,-1,-1,746050,99802,-1,372508,-1,560873,175320,488513,751558,945583,-1,438716,106386,-1,448780,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,621890,630768,987486,-1,670407,-1,14668,358916,-1,25424,-1,187563,302340,129924,519376,718336,-1,-1,275773,-1,147487,599631,-1,-1,-1,520204,-1,-1,688952,-1,-1,-1,-1,771497,84419,-1,-1,642151,-1,228378,-1,504850,949073,-1,460328,-1,-1,-1,781199,-1,-1,-1,-1,-1,546759,374322,805957,502876,-1,230983,723018,-1,-1,-1,-1,-1,229958,-1,963051,-1,153099,-1,-1,230813,-1,-1,517839,176793,-1,270900,147600,798199,-1,8097,-1,262534,821273,-1,-1,-1,431143,292014,91285,738028,-1,737515,-1,-1,-1,-1,898213,44419,154322,-1,811478,-1,-1,295827,-1,-1,905789,884274,368775,-1,-1,163653,-1,698010,-1,-1,32309,846717,377527,-1,376007,-1,-1,-1,140322,-1,722427,776822,632061,-1,-1,-1,654354,585665,161391,-1,320393,-1,526233,-1,146434,-1,-1,-1,181170,268304,-1,-1,-1,211695,-1,548817,-1,-1,154242,-1,-1,-1,428832,-1,-1,311024,-1,602393,379146,926384,608336,-1,426558,-1,-1,-1,-1,139537,-1,121603,-1,-1,807748,-1,498502,701161,-1,-1,-1,808937,-1,-1,851377,-1,-1,294486,-1,-1,-1,-1,799784,568708,849202,100858,-1,914044,-1,-1,-1,25320,815985,-1,-1,-1,146165,-1,102765,451988,-1,-1,-1,-1,119393,-1,-1,-1,447400,871415,-1,-1,89816,-1,788434,370827,-1,-1,392885,-1,860004,-1,-1,-1,708812,-1,-1,832288,-1,334587,-1,-1,-1,39849,-1,-1,606395,976673,-1,-1,514516,944792,780243,-1,-1,-1,38354,981327,369495,-1,-1,468564,-1,-1,-1,-1,728856,-1,-1,239498,-1,-1,622724,356146,873540,-1,-1,-1,-1,-1,-1,-1,-1,-1,636435,238163,-1,547838,-1,106890,242939,107901,-1,-1,786303,-1,-1,98408,-1,-1,-1,4657,547091,-1,-1,-1,306603,-1,58615,-1,-1,117183,532335,-1,-1,-1,389040,-1,-1,-1,-1,980022,278934,-1,205576,-1,144615,-1,-1,456087,-1,-1,350920,493121,-1,-1,407347,553477,-1,-1,294404,-1,-1,-1,-1,647666,43226,458778,30584,94093,879767,-1,-1,-1,-1,-1,300715,-1,-1,-1,-1,-1,-1,670049,520874,-1,319655,995832,-1,-1,819522,19960,-1,-1,-1,46619,-1,-1,603192,-1,-1,-1,-1,719990,-1,-1,-1,-1,-1,81129,615675,-1,-1,-1,-1,359680,288166,385089,181721,709732,853462,-1,421275,952457,549493,-1,-1,-1,730903,979639,-1,-1,-1,-1,-1,692396,-1,-1,-1,-1,129446,-1,962919,522861,635318,737851,-1,-1,688666,-1,958426,620847,388557,343887,956347,-1,251704,-1,-1,-1,188520,686244,-1,-1,851476,-1,12184,-1,-1,709272,-1,-1,-1,-1,-1,991804,168201,-1,-1,-1,-1,-1,-1,-1,-1,-1,647881,341348,74420,-1,-1,-1,-1,-1,651680,585986,468280,-1,-1,764243,191067,333374,523832,-1,462038,549243,-1,-1,-1,246996,764768,166992,-1,-1,10485,518497,884389,-1,43794,-1,912800,709844,-1,-1,366140,-1,237707,-1,531556,465239,417006,-1,823287,-1,617353,-1,759036,447502,-1,-1,148811,283295,-1,319520,-1,-1,-1,548457,-1,-1,124960,367015,54215,-1,-1,-1,620754,-1,400492,-1,-1,364838,-1,-1,172823,457982,-1,-1,970787,837993,-1,731784,-1,596664,-1,-1,-1,-1,-1,-1,-1,471681,712965,590232,-1,-1,-1,802524,200123,-1,871226,315508,-1,328675,-1,-1,-1,411657,312302,-1,793173,461692,-1,146797,-1,865983,-1,486139,20473,367052,-1,195747,-1,128297,-1,586096,-1,501045,728376,-1,621275,268630,507416,922043,772731,315691,-1,534240,352481,-1,187551,536855,577280,557860,-1,61855,-1,-1,489227,-1,613645,989882,-1,56497,-1,-1,-1,661494,939099,287061,-1,451312,-1,821181,397847,-1,888247,882480,-1,392845,462364,982369,315330,-1,866401,240830,-1,826479,-1,-1,886048,-1,81814,370296,-1,454864,-1,17935,811627,-1,339426,936981,810056,-1,896144,31745,44194,-1,-1,-1,183072,-1,-1,261037,637784,-1,-1,-1,-1,725185,-1,-1,303014,810156,171770,47136,550000,733791,810480,-1,-1,857716,958669,-1,921694,315188,818785,5157,-1,-1,954009,-1,854513,467893,-1,-1,-1,760564,-1,891752,315298,978588,622550,57031,85598,513238,-1,-1,188306,562237,-1,412460,-1,-1,-1,219554,11301,-1,-1,292784,-1,-1,-1,-1,-1,836221,-1,83334,-1,440376,549331,-1,331466,385184,-1,-1,-1,85416,568473,-1,881918,-1,789960,-1,58131,-1,770897,-1,941479,737864,296875,-1,-1,839657,717001,-1,-1,-1,-1,-1,526715,-1,477592,526987,-1,-1,-1,287064,-1,-1,695809,486551,398420,-1,-1,747281,715844,-1,616121,553825,-1,-1,324376,221451,-1,-1,184625,-1,-1,993176,899395,-1,-1,-1,408424,848299,40638,-1,778855,625410,-1,-1,921424,-1,-1,-1,-1,824878,-1,643007,349022,852157,542261,774773,955424,-1,211292,-1,-1,44187,445903,974442,-1,-1,922309,809208,922836,-1,-1,383343,-1,-1,118383,-1,-1,582347,-1,132416,-1,-1,-1,-1,833629,216800,-1,-1,147112,-1,-1,-1,712854,797411,-1,968629,-1,282519,-1,565295,526424,-1,380339,473907,-1,880353,518860,714496,-1,-1,-1,326149,-1,386982,927116,-1,656833,353039,888425,-1,426826,-1,-1,375487,-1,273777,624237,410757,687856,952092,-1,-1,-1,41283,-1,-1,-1,-1,100722,-1,617637,887282,546972,-1,-1,-1,964557,-1,-1,-1,781313,-1,-1,-1,-1,152479,427541,-1,-1,990035,-1,552746,-1,605456,144892,646131,256275,841048,522317,-1,574092,-1,-1,113704,791945,-1,250421,143609,352979,-1,-1,828249,-1,350391,-1,-1,-1,965398,267224,-1,587432,211781,-1,-1,-1,897712,-1,-1,-1,489051,-1,314961,-1,-1,563669,351779,227281,-1,-1,-1,-1,-1,-1,-1,-1,784617,201911,288435,886612,716715,364639,-1,990826,635630,-1,979756,-1,350214,432163,-1,117494,-1,-1,-1,489255,276461,-1,251146,448291,-1,-1,696933,-1,496089,-1,-1,95718,939005,863825,-1,643971,821796,-1,112237,-1,-1,40511,-1,-1,-1,-1,481643,937276,-1,-1,494807,708808,534119,942344,-1,282092,183259,880352,-1,647209,304587,-1,-1,-1,-1,195915,406232,441488,511915,943737,934299,525592,984852,-1,-1,-1,-1,478065,-1,526756,55449,-1,297904,-1,-1,-1,610756,-1,927731,-1,-1,-1,-1,927111,950946,877324,-1,587403,915081,-1,368368,-1,-1,876818,-1,-1,852216,-1,5132,499820,-1,48654,-1,40730,639159,-1,-1,-1,-1,-1,-1,597767,93033,-1,-1,-1,-1,-1,-1,-1,856322,-1,61420,133992,122734,361356,517356,-1,230304,246637,-1,-1,-1,-1,-1,360670,349066,897095,-1,-1,273125,-1,-1,-1,-1,-1,-1,448247,636753,988989,698911,-1,566062,42712,-1,-1,-1,-1,189227,-1,-1,489982,-1,-1,786849,-1,483835,-1,71675,648602,274236,599205,191294,-1,-1,-1,908029,478933,524470,323344,541323,41504,-1,-1,721125,-1,-1,-1,-1,96289,-1,362741,-1,-1,492049,329052,821775,-1,391786,-1,-1,-1,-1,-1,-1,-1,484682,-1,-1,-1,479259,703048,-1,335773,-1,-1,677312,265496,793472,229411,-1,462953,-1,681768,-1,-1,-1,866117,534947,-1,-1,34445,938752,-1,594085,-1,27926,54475,259013,-1,784037,552958,727437,720970,206555,645271,315581,-1,-1,324243,322283,-1,100955,-1,567784,-1,295103,488761,248134,989173,582340,818330,999498,259009,349140,999101,671718,-1,-1,-1,638103,864876,-1,940552,-1,-1,-1,814913,-1,478295,-1,-1,173642,-1,-1,33389,326771,561180,62987,789313,-1,-1,171864,259018,-1,953984,137416,-1,799823,-1,-1,682602,270059,508236,34335,425764,276531,-1,-1,-1,249576,64285,163228,515240,682079,-1,132756,-1,-1,360090,-1,161514,226641,-1,103205,-1,313839,886414,594293,-1,722371,-1,-1,-1,-1,-1,-1,-1,-1,-1,875908,-1,136086,-1,-1,-1,-1,67476,371006,-1,-1,255530,754845,59431,731491,716641,320968,-1,846283,190412,341644,572253,606761,38456,-1,742355,726056,-1,94124,157468,502117,916405,-1,140760,7230,-1,835592,-1,942132,609023,680527,353425,679543,350074,-1,724061,-1,-1,-1,-1,37613,827603,-1,-1,935904,353551,-1,285848,98302,243189,-1,-1,882320,227335,790937,948996,-1,-1,113319,-1,-1,445919,-1,699007,-1,816939,648775,-1,439219,-1,651006,241548,215993,-1,-1,-1,-1,-1,877469,222546,-1,-1,-1,562702,663243,-1,-1,510890,117792,171822,127166,704852,359716,-1,468038,391948,76039,765708,713909,843715,839630,-1,-1,-1,64692,-1,229080,-1,84973,-1,-1,891296,-1,632293,-1,410469,852295,885980,-1,933502,911134,935115,338385,222284,-1,218351,-1,371354,-1,-1,-1,375940,86734,447617,110609,276252,-1,-1,68633,-1,858107,-1,849882,825190,-1,104446,-1,915445,-1,391172,-1,-1,-1,749734,843975,951855,101286,802256,91172,700890,-1,401028,-1,-1,280259,803010,-1,-1,607509,-1,-1,97619,-1,-1,-1,-1,-1,520670,158420,903991,644925,196122,682753,852024,382552,536088,577824,-1,979118,227349,729335,-1,-1,123038,665241,401186,549739,-1,127421,299113,-1,-1,-1,27711,261074,434117,-1,807652,-1,-1,96743,853248,-1,-1,-1,374745,105772,752420,844577,119435,-1,913421,909685,-1,-1,-1,544724,-1,-1,830585,563196,401008,200917,-1,2695,-1,-1,-1,625514,-1,222775,819725,223993,632799,-1,614886,-1,525273,-1,-1,242433,831081,627385,-1,-1,-1,758282,72874,-1,419864,-1,-1,-1,901524,68080,-1,-1,-1,-1,602809,-1,13638,844418,870648,-1,890606,519924,-1,796847,334277,483811,-1,155513,362344,-1,-1,535269,-1,60730,67919,-1,902588,472256,-1,514636,304393,658301,884381,233220,-1,-1,-1,825624,818455,258585,-1,80312,579749,-1,97302,-1,80126,786037,598435,-1,662079,-1,715835,-1,-1,-1,-1,-1,76126,547125,-1,578273,342414,-1,776151,-1,429847,-1,199743,-1,-1,-1,625783,335880,-1,618083,-1,-1,-1,109,793271,-1,-1,700240,-1,790358,-1,-1,-1,-1,-1,-1,185025,740107,447,31438,-1,-1,399760,-1,173571,-1,-1,219679,-1,-1,121653,-1,180677,332213,772979,-1,-1,189835,761207,869737,-1,437226,-1,-1,855447,845451,458248,-1,-1,191146,-1,482319,837279,299178,889646,21042,796431,195210,-1,314991,325806,128849,964144,583427,678680,86645,182433,-1,-1,-1,-1,-1,-1,-1,-1,-1,749612,689845,-1,400050,-1,741604,-1,-1,284551,494610,187208,-1,-1,-1,-1,-1,421595,299177,-1,53807,236543,-1,416448,227771,277808,-1,-1,-1,95410,452336,-1,391097,859519,123452,248973,-1,-1,-1,-1,-1,-1,-1,949603,-1,-1,608570,-1,-1,-1,-1,302551,42151,-1,-1,776592,646728,-1,-1,-1,1057,-1,522566,-1,810593,995308,-1,-1,116738,-1,925200,-1,-1,-1,591189,177344,-1,-1,-1,-1,311136,-1,-1,-1,962023,-1,884911,-1,-1,-1,-1,-1,-1,275394,768221,-1,544199,460066,-1,872652,-1,439016,-1,-1,-1,-1,-1,-1,143280,-1,181650,-1,447640,969738,580444,820533,-1,-1,-1,-1,622334,-1,-1,-1,-1,991400,-1,164749,193566,-1,-1,-1,-1,-1,-1,732405,-1,-1,366504,-1,81398,-1,-1,-1,384870,-1,-1,617914,878068,-1,-1,458690,-1,-1,-1,671667,-1,-1,427940,-1,326375,-1,127919,185060,154543,-1,647033,-1,400072,-1,456999,-1,954861,642201,-1,830245,248558,567179,-1,-1,-1,179473,-1,68225,720760,18101,75864,-1,844528,643793,-1,110023,393221,-1,-1,-1,-1,-1,-1,-1,-1,-1,848314,751203,343683,966750,-1,676465,245419,-1,-1,-1,-1,-1,337540,742751,-1,911753,-1,-1,959665,838326,-1,653851,64122,-1,-1,140823,-1,218645,-1,429784,-1,671613,222990,110446,170153,464296,-1,-1,-1,-1,-1,544828,-1,465006,412240,560202,-1,991170,-1,-1,-1,310227,-1,-1,-1,472935,266972,961052,591892,-1,214542,801208,102705,-1,913823,324725,937921,-1,563239,119910,-1,193373,-1,804077,-1,-1,-1,503145,943828,-1,-1,-1,349062,-1,-1,208754,895774,-1,913312,-1,164938,402062,-1,-1,933566,30002,596750,500962,-1,-1,639316,-1,249693,-1,852930,137198,72440,368363,483633,427891,-1,867660,809704,155725,182243,961802,-1,826799,28062,246034,921218,733951,611197,684624,-1,649889,3101,-1,-1,872204,-1,695403,-1,85528,-1,205814,-1,-1,-1,-1,-1,803552,-1,-1,-1,-1,-1,902007,577756,63060,447427,-1,801123,-1,-1,438836,-1,-1,-1,-1,-1,347560,947863,984396,-1,311022,843405,227106,572222,122188,-1,-1,902032,-1,582232,-1,-1,653425,356723,-1,-1,-1,112833,995607,-1,-1,-1,240442,809386,281569,-1,-1,850523,-1,-1,-1,338898,10907,-1,52996,-1,443848,428080,730124,609509,-1,918593,371439,660558,-1,69325,-1,-1,-1,488962,-1,644714,623534,364671,79204,151675,-1,312358,474737,-1,-1,147516,-1,840407,878662,343087,42758,-1,608415,669576,739396,917675,-1,-1,198749,7106,-1,-1,57192,-1,196756,-1,937372,171798,-1,-1,-1,-1,-1,372017,905455,-1,382371,-1,424116,184148,-1,-1,-1,167031,646171,-1,664804,657362,-1,993981,-1,89634,-1,319579,757069,-1,-1,-1,201588,-1,407942,-1,-1,-1,446135,650575,165167,-1,767654,532008,-1,18237,-1,554075,-1,38840,-1,857566,-1,-1,-1,-1,371782,-1,248129,-1,367074,-1,409409,-1,-1,448130,-1,-1,-1,341040,892387,22814,492274,-1,741692,-1,865300,-1,-1,-1,460495,538702,813097,-1,-1,266215,-1,-1,536129,387103,-1,-1,491554,-1,206540,-1,640405,521797,526158,952135,-1,345035,318257,602962,190750,612505,871479,-1,-1,349923,-1,428725,4318,651825,-1,482624,244110,925728,515187,540790,393371,32319,-1,476186,-1,751425,496326,946475,-1,-1,-1,-1,-1,798657,-1,592358,-1,-1,-1,697254,-1,773935,10066,-1,350632,561498,799550,-1,625958,-1,-1,-1,338714,624410,-1,-1,84014,713259,-1,-1,225118,715645,165077,530792,-1,-1,512055,736381,342274,-1,721410,-1,-1,-1,-1,-1,851241,869915,-1,549614,785032,-1,155936,346351,-1,-1,-1,108894,-1,-1,-1,-1,838247,796558,-1,160319,847576,-1,367538,768008,326981,-1,-1,786071,74408,-1,675688,-1,-1,-1,-1,-1,-1,608270,24840,-1,528648,-1,449237,758652,544047,-1,18020,189535,340573,-1,-1,690829,745162,-1,-1,827711,-1,-1,-1,-1,199708,433183,664983,880708,-1,-1,-1,124305,-1,82835,-1,206060,454504,-1,410502,392469,-1,-1,327176,915504,573652,947121,-1,-1,69536,494879,587813,-1,-1,38417,380662,-1,-1,196995,-1,-1,902531,-1,213016,-1,16761,897926,138090,-1,519339,923248,474901,-1,-1,-1,607002,661211,893941,896596,19650,-1,516600,655056,955893,214388,-1,325228,-1,-1,84501,-1,590973,-1,912953,689618,200307,-1,-1,638780,807940,976149,663971,867433,973398,-1,-1,442911,535899,-1,229071,724078,-1,45351,322068,-1,-1,-1,37769,-1,-1,48595,330075,-1,-1,-1,89659,124117,-1,735605,793355,-1,-1,443198,-1,613611,855967,-1,578702,229609,643334,592438,-1,-1,41555,207582,-1,-1,886063,-1,-1,-1,422115,-1,70585,-1,366656,542917,518845,168226,-1,542650,-1,753263,-1,476155,905449,21732,-1,-1,-1,207241,350336,57486,597261,-1,320624,-1,532832,-1,223950,314810,175402,-1,-1,805381,-1,-1,-1,251461,684980,910264,726850,724892,-1,-1,231389,-1,-1,602453,-1,-1,147476,78473,-1,-1,-1,-1,-1,64735,-1,-1,-1,-1,637018,30225,-1,-1,444613,343627,937102,182790,-1,-1,-1,-1,-1,-1,669925,967491,104942,821869,601778,39936,728564,-1,-1,803259,-1,-1,-1,147328,45123,190515,-1,631886,996830,-1,950885,-1,244597,-1,-1,-1,-1,-1,963293,-1,707849,97968,-1,-1,-1,-1,615433,-1,-1,-1,-1,195793,-1,381972,600332,-1,236716,-1,543912,137838,826838,801327,-1,-1,410012,-1,-1,-1,965681,439010,-1,-1,-1,-1,18671,513189,814535,-1,-1,197868,-1,-1,-1,-1,-1,-1,-1,4187,648684,655532,-1,943779,5807,133202,-1,-1,491905,-1,-1,-1,-1,-1,-1,824215,409756,791665,885428,616083,336879,466070,-1,-1,-1,76441,-1,377008,732039,615983,-1,-1,-1,356675,-1,982812,338686,-1,437550,200219,611426,-1,209379,-1,-1,496818,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,335443,654025,707891,-1,360809,-1,325066,602341,757096,708736,659570,507747,-1,824401,-1,-1,831714,534749,-1,-1,-1,-1,794355,-1,904560,-1,730374,119150,-1,-1,115989,409150,-1,-1,-1,-1,191756,-1,-1,-1,663061,-1,-1,-1,-1,697916,238855,701694,515962,-1,-1,-1,349302,-1,126615,-1,37822,615530,-1,524148,344337,-1,-1,-1,-1,766508,-1,-1,149526,-1,997391,-1,988784,264580,973801,101885,906510,936688,546031,-1,644933,404302,656428,93067,-1,-1,-1,296162,129140,335590,-1,-1,727192,-1,814956,860300,134951,501121,-1,-1,-1,373714,635961,533221,707217,-1,988675,-1,-1,420803,972341,-1,-1,-1,-1,-1,302165,895986,539355,-1,333965,-1,-1,-1,-1,253746,624478,258909,-1,377773,868660,615184,193197,-1,-1,-1,-1,692450,773500,43305,672462,-1,-1,-1,548850,573288,618654,-1,-1,190007,-1,-1,741414,-1,974780,428128,-1,-1,-1,-1,-1,-1,990401,-1,674267,40905,224825,76811,-1,83713,-1,-1,393480,-1,-1,-1,-1,-1,-1,96639,-1,461299,34655,870798,510600,-1,-1,485456,413426,-1,660745,-1,78885,198459,280476,376874,-1,335533,-1,-1,-1,413818,327170,585226,-1,174607,342364,100395,501834,137297,-1,448119,-1,-1,-1,893666,329062,-1,-1,-1,-1,-1,194467,908996,290935,-1,-1,184215,-1,-1,217740,16603,-1,-1,-1,728649,-1,569254,517816,-1,-1,-1,345666,41656,853850,731922,-1,507827,-1,-1,-1,-1,506633,-1,391522,861424,-1,-1,-1,-1,-1,-1,519026,613456,248469,186966,888344,-1,147940,363066,-1,-1,381689,533508,-1,-1,-1,40887,-1,936556,188751,-1,387206,-1,824300,197466,856507,800749,-1,478418,-1,-1,-1,677061,-1,343624,-1,472061,896645,-1,183951,910571,384735,178090,107272,-1,-1,293221,-1,-1,642857,454898,-1,192949,-1,-1,523363,953093,253261,-1,352255,-1,555502,-1,-1,79881,-1,909557,874911,-1,180756,-1,893136,-1,842210,-1,-1,-1,764468,-1,165732,-1,217264,-1,591915,621126,-1,431141,428948,-1,184910,-1,484046,-1,-1,-1,538417,417976,701400,463564,-1,598954,979309,-1,-1,185452,-1,530429,537661,69063,856032,209079,-1,-1,-1,-1,578921,-1,539532,-1,22454,-1,111302,-1,758736,908222,-1,-1,279673,978560,-1,962067,981956,592445,689739,-1,93701,-1,-1,304455,82910,-1,655473,-1,982919,-1,507035,108531,328396,-1,-1,-1,-1,913642,-1,76395,-1,685373,961695,-1,-1,-1,2410,-1,486224,-1,-1,-1,798938,-1,792869,16530,-1,402641,610045,829886,986515,513530,-1,-1,736268,-1,-1,-1,-1,-1,429954,474282,-1,849256,597597,-1,807404,-1,66976,-1,532166,-1,282062,-1,449102,109272,655394,-1,-1,-1,579834,897174,-1,-1,839180,98739,203436,681458,611970,-1,-1,-1,-1,-1,725064,-1,597135,-1,-1,569439,966976,-1,-1,862982,-1,-1,440432,-1,-1,278488,395130,-1,365058,602286,-1,87,-1,-1,802658,-1,-1,-1,313505,-1,752797,863466,-1,122750,-1,-1,909727,-1,-1,-1,-1,-1,530598,-1,219551,802523,533037,-1,817029,663104,422309,-1,-1,937328,807886,-1,290555,101686,987385,-1,666513,-1,-1,-1,-1,-1,343151,912318,-1,-1,802983,-1,-1,-1,-1,-1,-1,-1,-1,-1,421391,433132,984830,-1,-1,107376,-1,-1,384110,254947,856415,953260,42172,-1,909617,310751,-1,672583,585321,219607,574883,-1,381281,853002,840638,-1,694852,-1,-1,453949,527490,-1,-1,-1,902523,679891,111583,-1,-1,637775,-1,235111,678049,919746,-1,-1,426893,-1,261240,856266,896187,830749,-1,979988,383632,-1,526719,204707,814660,677055,124845,631945,248405,659030,997420,-1,-1,931835,437998,651038,666894,-1,-1,-1,85009,-1,-1,829168,458195,-1,-1,-1,959225,-1,-1,752305,-1,-1,847477,28806,-1,359357,-1,-1,819874,-1,568572,976102,785622,-1,576359,-1,-1,813227,196423,-1,-1,582069,962939,501266,-1,959131,-1,773516,333555,-1,450916,-1,-1,-1,941475,376971,-1,-1,-1,-1,-1,-1,360347,-1,-1,931038,-1,-1,871141,82012,-1,82793,-1,981813,132617,-1,90785,-1,-1,960725,194860,345982,155981,-1,-1,-1,-1,503677,512650,613237,-1,853180,-1,-1,900852,-1,67404,-1,957654,-1,-1,469305,75376,852015,624637,805790,-1,-1,329018,-1,-1,217036,-1,-1,-1,209767,-1,-1,857337,-1,208632,-1,-1,196046,-1,578388,-1,-1,522980,-1,678429,-1,801439,917951,-1,-1,692290,589439,454541,189655,459812,432459,396747,925772,-1,101906,666649,213158,377853,793648,615766,-1,-1,-1,-1,-1,-1,242606,-1,-1,-1,277911,-1,-1,-1,469231,-1,-1,7924,677760,-1,919725,40464,270406,-1,832253,-1,183620,-1,221325,295050,-1,344524,689376,-1,-1,-1,665699,885278,-1,624622,719938,423088,388373,-1,-1,-1,240016,596916,679227,-1,261044,855342,94343,526285,981685,-1,906988,157320,187415,-1,-1,-1,738018,545807,951338,393470,203435,854375,-1,-1,32477,231814,-1,636248,-1,139169,871296,-1,911043,426374,774983,-1,-1,-1,575173,765039,47085,-1,918314,241030,342158,-1,514750,969594,-1,43331,812180,-1,50534,-1,328280,-1,681956,-1,163824,-1,-1,541342,408681,139925,11655,301960,588057,-1,-1,-1,-1,-1,-1,679447,966815,-1,-1,-1,-1,536607,-1,511349,-1,249241,-1,-1,159786,293105,-1,-1,741325,422474,-1,385964,348121,183598,-1,206266,635991,676488,-1,-1,418155,-1,618265,581900,-1,279491,-1,13606,-1,-1,723483,-1,-1,943421,-1,-1,829404,41004,-1,-1,385973,952653,333661,41655,546169,-1,322677,-1,-1,-1,62774,-1,-1,438657,-1,-1,-1,328546,-1,-1,838354,270882,-1,905126,741179,-1,164045,-1,361397,243678,-1,-1,640836,827534,-1,-1,201614,693810,-1,790693,356742,-1,853549,-1,-1,722071,724163,165003,-1,-1,504011,-1,-1,142156,-1,244494,538966,549820,-1,105603,-1,460993,-1,527732,117016,457249,145133,-1,-1,348548,488860,-1,156271,849150,925765,-1,127431,-1,-1,-1,925906,333337,-1,-1,-1,-1,879296,-1,-1,16423,-1,-1,-1,-1,190355,-1,322357,-1,646170,-1,-1,314012,671575,-1,-1,-1,-1,817888,834118,353906,613466,-1,-1,422591,214208,794811,22531,-1,-1,516358,-1,-1,263482,-1,-1,-1,678153,-1,76219,-1,-1,855057,834826,229349,458055,-1,649177,-1,20207,671761,590271,222009,-1,-1,36514,159724,-1,-1,853743,243668,-1,-1,277680,242414,49327,-1,486229,629198,-1,624097,733880,-1,208325,-1,-1,-1,-1,138297,-1,815737,723136,-1,415839,-1,820058,-1,520437,485373,996284,-1,511691,-1,-1,-1,346600,23065,485068,-1,68485,87189,-1,-1,319950,774795,86173,787913,964707,-1,205019,-1,452018,122009,-1,-1,96871,-1,-1,-1,189864,-1,980103,-1,-1,902735,-1,-1,-1,-1,845543,-1,-1,-1,-1,776985,-1,29344,143243,-1,799307,-1,702955,147094,236671,568270,423472,-1,-1,922269,7890,334204,-1,246025,227706,-1,530355,42453,792732,-1,639058,639285,649477,703066,450643,52620,150547,-1,-1,728588,-1,722819,904010,852547,532555,-1,3319,259437,360277,-1,-1,-1,898381,558049,529989,579458,-1,674923,-1,711747,342347,-1,-1,306080,919641,-1,460034,-1,-1,-1,764552,900057,-1,-1,-1,-1,-1,139949,96815,886725,-1,-1,885245,622298,-1,24449,-1,-1,-1,967766,426973,768161,-1,599224,-1,292475,686191,-1,580390,-1,485475,-1,-1,945257,781663,32433,343316,277998,-1,-1,-1,323405,221289,-1,394867,-1,568012,-1,-1,-1,-1,836670,830532,361548,905708,528502,672713,-1,-1,743909,-1,343721,519164,-1,426965,-1,556642,930505,-1,408413,-1,267179,943394,-1,-1,-1,945719,759062,75613,-1,237962,945672,718015,995175,-1,-1,802557,-1,682296,-1,567785,162406,950074,621408,655364,-1,-1,-1,239484,21053,752795,378485,363248,339352,366352,686747,321883,290628,-1,-1,406024,279961,-1,110725,-1,783392,-1,93381,158738,-1,-1,380314,322673,-1,-1,-1,-1,-1,28245,865147,677203,265087,706106,-1,518548,831322,-1,-1,479480,180992,729210,-1,-1,801196,547039,351721,-1,240628,869857,-1,-1,-1,-1,32564,-1,959545,409368,-1,-1,882351,-1,92475,796841,-1,794967,423440,-1,-1,77331,875360,-1,983238,-1,-1,204702,845141,-1,-1,577024,486894,872547,814783,-1,339330,-1,-1,91016,903377,-1,918170,164833,140405,-1,52180,527135,-1,716577,265079,-1,-1,-1,-1,544326,29657,611020,-1,-1,35351,-1,-1,300380,-1,-1,-1,-1,-1,91157,918458,-1,638858,-1,-1,-1,-1,790584,-1,966345,-1,-1,133010,456709,724754,-1,-1,-1,-1,-1,-1,-1,904667,-1,994843,157714,-1,191256,-1,682245,710985,-1,25425,453424,339926,-1,-1,850522,-1,543324,377035,-1,187137,18818,656410,-1,-1,-1,483581,115499,772118,540442,847635,-1,756088,-1,-1,572917,490961,-1,213503,144365,-1,-1,570142,-1,388399,-1,-1,215573,-1,549818,-1,-1,623862,-1,936553,214937,426528,-1,619616,-1,718638,591116,-1,-1,296350,-1,911057,95698,582946,771378,209496,364772,-1,729522,233971,-1,900254,-1,-1,703272,786570,-1,-1,-1,268551,-1,-1,-1,68615,54236,-1,-1,531031,-1,139742,203457,135908,-1,-1,485496,730105,172519,220304,161066,939911,470757,887539,256208,557055,-1,829850,558283,769981,-1,904768,-1,-1,-1,-1,465565,-1,745017,106048,802750,-1,130980,163259,289683,892712,305364,-1,722384,782370,-1,64740,843494,-1,944626,-1,-1,357578,-1,-1,-1,210516,917632,995173,-1,-1,-1,-1,-1,-1,-1,-1,775085,-1,-1,855507,400111,199347,-1,549753,534590,-1,173185,-1,126797,-1,442683,-1,664406,-1,536051,791375,-1,-1,-1,-1,28399,771623,122716,991480,608955,-1,451426,251725,206976,-1,535681,34316,583649,737592,-1,-1,-1,-1,899225,-1,902738,937805,865124,-1,-1,-1,902306,-1,52488,315985,17024,208239,-1,189191,752098,907427,-1,-1,426533,-1,-1,-1,596186,-1,-1,919946,235547,-1,-1,-1,575259,-1,645233,991595,891441,-1,50182,-1,-1,757184,45546,-1,-1,352880,-1,-1,-1,-1,370989,-1,-1,-1,24598,-1,721760,-1,-1,561474,869140,181157,832525,-1,-1,980975,321552,-1,-1,-1,-1,-1,337981,340629,960677,-1,-1,-1,-1,-1,-1,-1,-1,612856,73757,419475,-1,331537,-1,757584,501006,506301,-1,-1,-1,-1,-1,428049,300266,-1,-1,-1,-1,109212,742258,-1,-1,-1,859644,25919,526899,-1,702276,-1,36839,-1,546457,964041,668468,370337,480195,-1,989826,774485,-1,-1,927782,727828,528699,-1,99751,663846,-1,-1,-1,-1,-1,-1,-1,-1,496093,-1,-1,-1,-1,-1,-1,-1,-1,394610,-1,424119,-1,-1,717573,13421,270382,-1,-1,-1,270217,159518,46005,-1,-1,400638,-1,-1,655515,-1,-1,692210,146941,-1,-1,732937,88684,-1,-1,336034,-1,19786,795726,950790,-1,-1,642802,-1,-1,-1,303048,561006,791406,6424,887297,-1,-1,127959,602757,-1,-1,-1,454234,449761,415505,959898,567328,-1,61407,-1,-1,880957,-1,-1,291272,-1,396431,-1,-1,412014,-1,-1,-1,-1,654380,-1,-1,-1,-1,-1,181943,476077,589993,116707,120997,585292,968090,407543,511610,-1,-1,68075,-1,91311,588032,-1,-1,775690,880018,1583,594356,-1,-1,125782,930919,-1,349449,922097,-1,116953,-1,-1,-1,-1,306535,-1,900182,-1,116193,-1,-1,339736,-1,326109,-1,185018,121078,287696,94750,-1,336595,270590,-1,-1,403575,-1,-1,835045,-1,551181,-1,651495,-1,234093,783880,-1,582888,202579,711756,254601,-1,-1,125129,-1,-1,49769,-1,688408,374138,-1,832820,-1,900441,739139,257814,-1,491887,-1,933118,-1,-1,-1,213649,695168,-1,-1,-1,68714,574840,762294,-1,-1,-1,-1,-1,-1,880670,376990,-1,-1,-1,-1,712028,-1,-1,-1,-1,563743,796879,7191,386356,-1,469960,-1,-1,-1,-1,-1,-1,777718,-1,446568,879507,-1,137264,271981,229599,-1,907837,457679,-1,4745,-1,727007,-1,357818,-1,863732,-1,414489,-1,728029,-1,165473,-1,-1,-1,-1,-1,-1,886437,454133,-1,-1,16113,-1,-1,-1,-1,-1,679910,-1,-1,63400,854713,-1,176767,612826,-1,-1,417047,644107,-1,-1,175041,878439,815668,-1,-1,152245,187553,166733,-1,-1,-1,746001,930479,400477,-1,-1,-1,342348,468250,-1,-1,-1,-1,34315,636635,443753,-1,713180,-1,412300,-1,-1,810344,378473,-1,414855,-1,-1,327134,969838,-1,78808,-1,202950,-1,547221,-1,-1,-1,720928,202291,-1,701092,-1,684820,-1,-1,70590,-1,189976,-1,-1,916740,996681,-1,438596,-1,-1,-1,101487,653708,-1,-1,-1,704596,-1,990051,-1,-1,-1,147366,873262,613165,91187,491072,778636,-1,-1,-1,-1,-1,447925,-1,-1,-1,-1,657151,255220,53757,-1,309727,868970,-1,623501,-1,-1,432893,-1,-1,172966,-1,-1,-1,-1,40627,-1,-1,-1,502182,827226,963516,-1,42794,266778,-1,592329,-1,525638,-1,-1,845054,-1,240957,796491,-1,903662,305372,-1,811711,497831,-1,-1,-1,-1,393288,-1,-1,696329,632542,497886,-1,-1,-1,-1,264998,-1,-1,531184,-1,716407,161164,538650,-1,-1,637421,804160,-1,-1,-1,985544,-1,426532,-1,646324,-1,-1,104668,272648,-1,-1,630489,-1,-1,-1,538954,773665,242620,98165,-1,897671,105080,177499,867219,600591,-1,-1,-1,-1,-1,956928,251348,-1,-1,-1,482905,729058,-1,857115,-1,-1,-1,335200,-1,748313,-1,690824,-1,-1,325045,-1,550008,864764,-1,-1,-1,-1,854856,-1,698380,-1,-1,-1,107666,-1,-1,-1,227102,223389,-1,-1,-1,-1,-1,-1,-1,-1,361065,-1,-1,788710,-1,-1,714213,234375,-1,-1,391730,775029,-1,952174,-1,926184,-1,638275,-1,959902,-1,732040,-1,-1,345139,866885,869164,-1,-1,223261,757309,-1,623579,-1,-1,-1,317973,-1,-1,563170,-1,-1,178300,-1,231468,447321,291193,-1,-1,960647,-1,-1,-1,-1,650391,475608,-1,-1,-1,-1,-1,448898,490886,89854,-1,534486,-1,-1,705793,134785,143679,-1,800741,334552,-1,874162,538579,467792,728019,-1,236743,980367,-1,-1,434313,78042,10165,123840,492360,-1,-1,-1,-1,372348,108586,-1,373695,999811,-1,-1,176073,-1,399293,389656,275246,-1,-1,-1,510401,318880,277076,327868,964388,-1,992846,-1,-1,70896,-1,624852,-1,-1,-1,-1,-1,-1,-1,-1,100766,949076,-1,-1,-1,430192,-1,-1,200635,-1,-1,-1,-1,-1,799214,-1,775462,-1,155273,337588,427628,-1,-1,-1,-1,615254,-1,-1,-1,986094,166864,662972,-1,591619,585294,511933,-1,-1,-1,-1,354200,-1,-1,-1,268534,-1,421200,-1,-1,-1,-1,-1,-1,335961,803822,164146,-1,66777,973361,-1,634571,-1,-1,333380,299007,59174,454877,-1,-1,-1,270221,540712,-1,-1,-1,118405,-1,934306,713479,374689,-1,-1,-1,769621,620966,843482,457001,457202,408893,-1,-1,754834,443644,35090,111794,-1,685720,-1,-1,-1,-1,-1,-1,-1,46927,245373,-1,822108,925118,-1,-1,-1,-1,685784,228514,808936,57169,190278,-1,-1,-1,499894,835940,581166,-1,908594,862019,176931,136332,-1,-1,926607,-1,-1,662780,897422,604462,2021,-1,990364,-1,-1,962491,301508,299758,-1,-1,885423,-1,-1,-1,763521,-1,206815,951450,-1,438700,-1,-1,107587,-1,-1,150881,-1,-1,996543,570573,-1,-1,-1,117654,-1,29033,908473,771172,-1,939141,-1,891400,75408,818155,-1,-1,-1,60857,-1,-1,-1,380229,946385,450416,-1,149451,-1,524494,-1,-1,-1,-1,949525,-1,320843,-1,-1,68833,758102,-1,-1,-1,388169,219075,-1,-1,194449,366890,-1,-1,-1,987931,536335,-1,597796,-1,185863,-1,438391,-1,-1,-1,60298,959448,101598,-1,-1,-1,285208,-1,802979,-1,-1,-1,-1,-1,-1,251937,-1,-1,-1,217234,841585,-1,892573,-1,927033,-1,-1,70604,-1,474529,802560,190565,54788,-1,-1,831073,-1,-1,236428,-1,261415,-1,-1,825434,959777,139971,531190,-1,-1,-1,-1,564098,-1,631814,41157,772084,657566,-1,-1,-1,-1,34282,-1,-1,535343,-1,195645,910377,568609,-1,309361,-1,-1,312461,-1,-1,449150,-1,295732,-1,-1,-1,359244,-1,-1,-1,750535,104391,237651,-1,853107,-1,-1,-1,-1,274285,854169,-1,-1,746614,-1,555788,447723,926356,-1,125416,-1,-1,754180,330988,389925,-1,711848,472806,755511,-1,-1,810883,673316,-1,80210,280963,122732,-1,-1,-1,-1,379718,-1,65102,-1,319486,-1,-1,401922,-1,-1,807320,618440,851454,-1,699801,-1,665279,-1,-1,-1,-1,520311,-1,-1,-1,-1,-1,113639,936750,645455,-1,95922,-1,-1,-1,363483,788974,-1,-1,622347,120786,-1,769203,614851,-1,958134,-1,-1,760042,-1,6266,-1,977113,830964,967728,-1,-1,976206,517183,902272,615479,529598,-1,-1,-1,991927,605305,23171,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,808415,457206,-1,-1,-1,-1,262492,100190,-1,636030,-1,855314,274740,209639,-1,-1,397452,24358,-1,860802,529800,-1,740867,-1,592060,726970,354959,23571,-1,-1,-1,38225,605367,529631,-1,-1,-1,-1,-1,-1,-1,689093,463492,955762,274955,137471,-1,-1,677335,824070,-1,-1,782408,147412,829845,-1,-1,-1,384983,333519,-1,-1,-1,-1,473280,-1,375502,277934,-1,-1,178651,402252,41824,-1,524805,-1,188914,-1,-1,-1,-1,-1,612820,387079,-1,-1,-1,-1,-1,550608,-1,925000,280750,963491,234708,-1,-1,-1,657524,995123,-1,-1,786713,535678,246815,504649,454686,-1,-1,-1,-1,145153,500629,891324,439787,5855,-1,70204,630552,975990,-1,930610,-1,-1,563178,-1,553052,-1,757536,759708,-1,-1,570022,703196,145384,736198,735652,660918,-1,-1,-1,219319,-1,81715,-1,-1,403023,137896,55770,384227,-1,-1,-1,985697,-1,588745,167625,54457,31728,-1,-1,331765,-1,455729,855973,-1,-1,166838,-1,341950,902232,292942,855718,-1,-1,-1,885742,461451,116205,503402,-1,-1,695519,-1,638734,-1,300337,-1,-1,653847,990659,486418,-1,448148,-1,808480,-1,-1,-1,-1,163094,820079,254561,930268,60546,30907,392712,-1,-1,-1,109507,-1,276537,805206,-1,-1,-1,889879,392292,747202,531515,75155,-1,-1,-1,-1,-1,-1,-1,-1,988003,-1,-1,-1,-1,-1,-1,-1,-1,-1,324651,-1,770608,-1,-1,-1,451863,-1,983216,-1,-1,653638,974897,-1,-1,794812,-1,328244,-1,94899,-1,534680,-1,709032,107954,-1,478736,-1,51264,-1,-1,-1,-1,-1,237177,254427,-1,-1,-1,539686,753791,868834,34641,74833,196286,451693,-1,-1,513784,627621,-1,-1,-1,-1,35900,236129,-1,785115,-1,-1,-1,-1,805231,45138,-1,-1,-1,-1,-1,144037,763272,211147,-1,103520,107574,284516,274138,964283,205122,-1,4024,206658,125153,596626,-1,122352,-1,953201,-1,-1,-1,137302,402426,-1,408847,-1,9654,-1,-1,-1,311092,904328,484936,-1,846711,929355,-1,580497,-1,-1,-1,-1,602383,81173,-1,-1,-1,679079,-1,-1,-1,535917,822505,-1,-1,-1,273311,-1,-1,481353,-1,767479,87321,368193,527946,-1,888112,117458,10611,672679,-1,203633,269220,-1,446555,-1,-1,792304,695713,244034,403042,-1,835032,-1,-1,711350,-1,155552,692371,-1,-1,280245,-1,-1,24640,67099,-1,-1,138117,-1,-1,-1,472688,-1,-1,-1,-1,-1,499366,-1,496647,-1,200478,166621,-1,-1,-1,-1,567055,547854,-1,736938,-1,-1,430866,880704,-1,372364,-1,597434,-1,469674,-1,576187,658595,306175,315049,799817,-1,-1,13320,755196,592909,300530,249154,-1,680927,686655,-1,-1,797146,453126,344221,627504,-1,-1,-1,113499,-1,-1,227683,272309,-1,992747,-1,879394,-1,547113,804365,370736,502607,-1,-1,-1,-1,-1,-1,285713,206297,-1,705274,-1,223901,-1,180397,-1,892701,-1,933361,947195,867531,-1,663287,317529,-1,198259,-1,-1,-1,-1,11509,-1,469359,200741,-1,-1,-1,105196,667229,-1,533793,-1,82150,6738,785607,592777,-1,661166,288937,764724,-1,-1,363368,-1,-1,584479,920834,690611,-1,-1,156251,-1,713076,-1,-1,-1,463175,-1,205030,-1,-1,-1,711546,212951,-1,-1,-1,-1,-1,430437,486259,694535,-1,-1,-1,-1,-1,-1,811075,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,780879,-1,294418,885918,-1,-1,126367,-1,527623,-1,684259,393263,-1,-1,470062,-1,-1,-1,378057,-1,939977,919140,371999,-1,798764,841364,-1,832057,-1,345495,-1,968718,-1,930004,539894,-1,-1,623035,905692,-1,80030,366660,947927,-1,-1,255442,-1,-1,-1,87707,-1,545606,-1,-1,290974,732801,-1,-1,-1,97878,987064,-1,-1,-1,-1,329487,-1,-1,683174,-1,539931,872202,480106,-1,768175,91195,39169,-1,-1,135904,-1,185846,-1,-1,905717,555224,354061,471119,-1,-1,792689,-1,-1,-1,941991,-1,987573,794641,-1,-1,-1,-1,224553,326506,465199,-1,-1,386884,340807,-1,610483,-1,246205,-1,-1,-1,691676,-1,-1,-1,-1,124878,47625,-1,278560,-1,-1,747103,-1,-1,102797,241760,625121,413520,187166,899339,-1,301649,786101,-1,-1,77319,-1,-1,-1,-1,-1,263793,385641,594076,-1,-1,750815,1465,-1,-1,681078,-1,182095,127242,114423,397547,-1,693241,-1,722270,-1,-1,-1,918095,-1,-1,75241,-1,607834,-1,7398,-1,319242,-1,256826,530502,380689,-1,-1,-1,467875,-1,-1,-1,-1,-1,-1,14876,636579,606058,341845,-1,585705,945626,124284,-1,-1,312138,-1,552602,-1,-1,-1,-1,-1,-1,410192,-1,921897,-1,-1,-1,-1,-1,672329,-1,-1,-1,888406,211476,-1,370461,-1,-1,-1,496150,-1,-1,691578,-1,-1,896753,861230,-1,578974,-1,341436,-1,-1,-1,-1,272687,533590,518748,-1,-1,19385,-1,371697,395263,335415,513718,299753,-1,-1,-1,773649,809446,-1,-1,-1,75883,-1,197955,118868,436218,465652,876516,967270,-1,-1,264967,-1,553517,-1,-1,210580,272692,496137,-1,-1,-1,67603,-1,-1,9624,-1,-1,-1,494831,105459,324119,-1,28721,371395,-1,451996,52334,-1,-1,-1,-1,113703,-1,-1,728959,238538,523019,-1,-1,732757,316219,-1,-1,-1,-1,-1,774230,958428,433991,419144,513365,-1,-1,-1,-1,-1,-1,350128,-1,944752,-1,-1,854776,-1,16511,-1,-1,-1,80178,-1,653955,-1,-1,-1,479846,-1,-1,-1,16527,190766,512593,952531,455020,356084,-1,584331,-1,106268,-1,-1,-1,497493,-1,-1,381261,-1,-1,324858,-1,927393,866586,-1,888560,-1,-1,-1,627364,-1,808598,-1,619578,111612,-1,350468,16888,343805,-1,-1,296152,-1,353795,-1,-1,-1,783831,730914,-1,51711,-1,-1,-1,256069,458784,386583,366518,910959,578858,158371,232386,-1,852543,644047,491113,-1,13022,-1,-1,-1,377712,19768,894847,-1,-1,-1,-1,-1,797223,-1,-1,-1,288747,298756,-1,-1,105308,-1,372349,-1,-1,-1,320454,442297,352910,362189,-1,787786,-1,636201,-1,351789,-1,760582,208559,253891,876424,362378,-1,-1,740356,302862,244273,-1,-1,-1,268348,892004,-1,-1,-1,580282,637781,289439,552014,-1,724098,-1,791387,715456,-1,-1,-1,546277,-1,870564,341525,365734,505616,804777,-1,826731,-1,867577,444282,696129,-1,485932,-1,828823,-1,-1,-1,216696,-1,-1,455466,-1,-1,-1,-1,-1,40931,328502,-1,876387,-1,-1,769118,-1,434110,-1,195137,-1,-1,-1,847205,993627,26028,-1,-1,646667,650496,-1,97675,-1,59995,-1,330670,816630,491665,859053,-1,-1,-1,-1,-1,922039,-1,289447,597959,115999,735878,-1,-1,803816,-1,-1,-1,-1,648662,-1,-1,-1,-1,-1,-1,421562,-1,398774,-1,-1,-1,-1,28096,-1,95904,-1,231710,-1,926490,717971,231975,-1,-1,-1,-1,-1,337484,249412,391239,-1,-1,199924,-1,133338,-1,-1,11134,746431,-1,820688,-1,-1,432652,-1,-1,-1,-1,177911,916990,-1,-1,-1,857918,-1,-1,943043,-1,698950,721904,78040,-1,474384,20804,-1,362190,520721,466126,137949,-1,-1,274909,-1,737526,-1,143460,206725,839436,-1,-1,-1,862759,-1,177342,469144,447850,995254,970808,-1,760741,170947,-1,-1,160151,846793,-1,-1,-1,-1,815200,-1,-1,133769,73777,-1,171493,-1,16211,628117,126193,-1,714583,-1,769287,-1,-1,-1,909044,-1,439833,485168,-1,882485,-1,-1,-1,872145,-1,146528,-1,56748,-1,-1,-1,-1,-1,361498,775672,-1,-1,-1,911812,-1,229344,901664,-1,-1,397175,-1,82395,-1,-1,705131,-1,28777,-1,-1,-1,348067,226225,341594,385223,149281,-1,-1,-1,-1,579190,-1,599316,514746,-1,-1,572677,-1,-1,-1,-1,-1,-1,-1,644323,124552,515951,-1,791108,-1,244468,885046,-1,-1,-1,-1,345497,168034,931934,171789,-1,932923,-1,612144,617852,308180,222955,-1,284051,674009,-1,211522,-1,16451,-1,-1,-1,772763,137037,155471,20143,-1,175295,900138,690468,111627,-1,937761,-1,-1,-1,-1,651545,-1,-1,951011,-1,539225,809749,105003,786527,848066,71406,-1,726827,425437,-1,-1,-1,744861,-1,-1,-1,935891,-1,-1,-1,-1,-1,-1,341184,222840,844275,408931,-1,-1,56464,474829,223122,29823,-1,-1,-1,-1,215365,29661,893375,150002,36062,-1,526516,-1,393296,414341,-1,-1,-1,-1,860163,-1,882590,117965,-1,-1,939550,-1,-1,-1,521826,-1,609606,-1,-1,20188,-1,-1,-1,748961,76979,-1,81161,89593,868732,293560,-1,20121,48059,-1,494572,-1,389623,557475,280588,-1,595764,-1,-1,-1,-1,-1,-1,-1,486967,-1,-1,-1,-1,-1,856535,-1,-1,416242,743101,616494,481107,-1,-1,-1,36155,189387,257274,-1,15784,-1,-1,-1,-1,254084,-1,-1,660338,-1,791802,-1,-1,698643,886504,-1,-1,-1,-1,124568,677168,797751,-1,66447,-1,-1,821089,969182,784905,844778,-1,-1,-1,177279,-1,-1,828526,34473,-1,-1,91273,-1,363312,-1,-1,-1,112718,854202,154231,435007,809538,-1,-1,-1,722063,-1,-1,-1,-1,415004,83233,187782,645431,-1,-1,499235,697628,79574,665359,-1,656074,-1,948128,-1,277238,907201,724241,312564,-1,140930,-1,664796,483780,-1,-1,566450,-1,-1,-1,-1,-1,235521,-1,12781,312247,313636,-1,702137,715481,941278,-1,-1,-1,-1,-1,-1,-1,-1,-1,586053,-1,664172,-1,262384,583351,-1,-1,714692,250103,26068,179037,-1,-1,727621,-1,-1,-1,-1,726142,448741,252242,635359,868061,-1,-1,-1,372694,361851,-1,415607,56458,296456,-1,-1,-1,170231,129024,343341,542401,-1,941616,-1,-1,718832,-1,205017,-1,321439,-1,-1,923923,-1,-1,349143,585533,266431,686469,254846,-1,123051,-1,187025,-1,-1,837984,481316,-1,529478,-1,329820,855087,473692,224101,-1,-1,-1,695798,-1,-1,976228,806900,-1,-1,-1,781854,5674,-1,-1,-1,342111,456471,709731,278806,-1,-1,-1,-1,291855,-1,-1,-1,-1,-1,-1,932016,-1,642569,-1,-1,-1,-1,393155,-1,-1,-1,924298,575221,-1,-1,354000,-1,-1,-1,-1,-1,-1,-1,-1,126106,-1,-1,243739,-1,617515,-1,-1,709850,-1,807555,842379,383614,115166,615266,569034,-1,766441,511059,-1,-1,195867,-1,-1,-1,284959,-1,-1,-1,624314,-1,-1,-1,80738,-1,-1,749703,-1,-1,-1,922678,152567,-1,548813,681021,-1,-1,-1,-1,-1,-1,-1,-1,-1,271003,-1,-1,-1,244622,592401,652288,483723,789232,302248,658713,-1,-1,885121,-1,-1,-1,-1,70030,243809,-1,480408,22045,225593,-1,-1,-1,12023,-1,754904,191913,816665,87464,-1,-1,-1,-1,72256,53803,754413,-1,-1,34912,-1,927767,-1,890085,-1,-1,402619,-1,642416,448296,575785,-1,760307,-1,-1,-1,-1,-1,-1,910073,399197,753502,838637,-1,-1,-1,-1,592988,-1,835007,707505,-1,-1,101234,-1,71409,822769,-1,-1,903792,397563,-1,-1,-1,-1,-1,822080,209444,80597,948659,-1,-1,-1,814441,745750,282396,-1,-1,591938,979316,700182,-1,812407,909610,-1,467411,-1,91972,101626,942830,-1,162291,496399,210658,-1,-1,-1,836192,246761,-1,711860,914154,-1,-1,-1,923987,564609,238212,447106,264832,426916,-1,785641,887965,440999,-1,522961,-1,-1,612031,-1,-1,73356,398106,-1,-1,-1,299005,-1,-1,-1,-1,860826,196954,450034,-1,-1,228183,112263,-1,8957,835815,356177,-1,368206,642245,-1,901083,424653,-1,-1,-1,-1,-1,745053,-1,457518,-1,-1,883412,-1,983877,-1,-1,566129,972525,-1,167633,836522,383226,-1,325232,-1,-1,262358,-1,152034,647956,-1,640533,400620,918533,927373,-1,-1,-1,335837,-1,-1,-1,410846,282256,-1,-1,-1,-1,-1,94147,578956,64106,361516,665809,-1,-1,-1,447441,-1,801927,-1,185291,337316,-1,702530,759549,687591,318961,532496,-1,-1,855536,-1,-1,-1,385169,720897,734794,657133,-1,668353,632287,-1,721422,-1,545787,288374,-1,-1,-1,-1,978490,-1,-1,106520,-1,-1,714218,-1,-1,233371,769776,614175,-1,389514,820980,-1,-1,123531,75063,-1,-1,-1,-1,-1,871948,819909,-1,34351,-1,580853,-1,-1,-1,-1,-1,615731,-1,974600,-1,435234,-1,275011,-1,129672,951683,-1,-1,-1,787943,-1,-1,-1,685738,-1,-1,501591,316300,519480,-1,-1,-1,12712,569364,-1,923610,800497,662975,772223,-1,631805,-1,-1,-1,984577,-1,810284,-1,495212,-1,-1,384276,534503,672705,341924,586969,-1,403213,-1,-1,762083,517034,486948,434601,624528,17526,596137,966879,90840,-1,-1,835702,901893,647123,651628,-1,-1,-1,-1,280501,608887,-1,-1,-1,-1,-1,390238,-1,-1,-1,529608,-1,-1,-1,69233,244182,-1,-1,-1,859807,477412,647741,-1,183709,461493,450594,-1,807138,-1,-1,-1,-1,-1,-1,627773,701526,-1,683448,30532,221849,38872,-1,114946,-1,-1,864207,869118,245233,-1,48386,-1,355674,-1,-1,546391,652256,-1,-1,-1,-1,-1,897433,-1,-1,305129,-1,-1,-1,464469,-1,104025,488981,915621,-1,-1,-1,-1,-1,-1,16931,879179,129364,-1,-1,-1,-1,-1,951828,627037,473973,329249,-1,-1,931829,-1,121906,903685,384973,114160,960020,-1,-1,-1,-1,-1,496856,557435,519658,12962,141260,-1,523721,-1,842662,-1,992218,536774,675149,-1,-1,167116,411879,-1,864450,265151,953714,556371,529549,148125,136631,-1,166670,-1,750114,-1,-1,-1,850078,-1,318125,317764,993332,-1,41613,-1,810133,577990,532878,957065,414718,401424,445991,-1,-1,725472,-1,-1,-1,-1,252300,548722,-1,460499,358428,-1,-1,-1,-1,-1,938193,48982,-1,-1,878223,-1,-1,-1,87727,-1,-1,483209,-1,265582,-1,-1,390334,570203,-1,11254,387773,303215,-1,101180,-1,55121,-1,413,479531,998362,9217,549957,904704,-1,-1,-1,-1,-1,-1,501459,765142,575713,-1,-1,-1,19334,-1,804883,-1,908576,-1,-1,413408,-1,858833,77045,-1,610900,552601,-1,-1,987613,464269,-1,354687,-1,-1,919855,-1,26968,-1,736111,-1,-1,-1,475995,723025,-1,780164,-1,-1,161623,378733,-1,-1,963112,-1,951531,-1,686756,948635,453636,-1,-1,894149,71802,702441,362105,237283,825235,198601,553279,73768,-1,-1,-1,434542,857403,-1,-1,-1,-1,200942,926966,-1,-1,-1,-1,408107,-1,-1,-1,-1,468838,-1,-1,62032,999735,682646,792008,-1,-1,794762,-1,598374,74454,562896,-1,-1,939329,-1,-1,968994,-1,-1,-1,504910,723117,-1,446298,-1,-1,-1,358572,817047,-1,-1,918906,506530,176441,-1,-1,903212,-1,-1,-1,-1,134575,-1,482611,29100,-1,-1,-1,-1,739499,429038,-1,-1,-1,-1,229286,-1,430564,312801,584297,780483,758886,-1,480828,684288,929249,843098,-1,-1,706406,617717,-1,542149,458920,-1,161467,418576,480575,-1,459796,172696,902337,-1,877149,-1,-1,206281,-1,1749,-1,-1,688460,-1,-1,957891,329068,-1,-1,-1,977085,-1,-1,-1,-1,609649,765086,423415,-1,-1,681558,-1,889242,947990,-1,253358,33671,401599,911692,13623,-1,172387,-1,848768,878756,647539,975228,-1,-1,-1,563850,656175,9707,135766,-1,913298,678942,-1,-1,-1,-1,346786,-1,143122,-1,232797,457838,-1,429348,-1,183152,-1,-1,-1,853420,213481,-1,-1,-1,-1,-1,579844,-1,-1,-1,309822,-1,-1,281346,-1,-1,754628,496850,-1,422462,810455,561496,170033,-1,-1,336363,-1,-1,-1,-1,-1,352602,-1,-1,387984,-1,793245,132903,-1,456555,195421,880498,90012,321016,292660,899087,-1,-1,-1,956235,726030,282758,-1,-1,862742,65162,473044,-1,-1,473522,126339,-1,-1,463779,-1,-1,-1,659194,64659,599440,-1,-1,-1,164824,112192,867223,-1,855023,-1,-1,713038,137547,402535,-1,-1,-1,-1,16072,694139,-1,687072,-1,76242,-1,419590,407098,-1,855913,-1,-1,708518,728164,-1,839283,258377,506235,-1,-1,-1,-1,25526,-1,-1,-1,643646,-1,-1,-1,-1,834055,777305,-1,-1,-1,13085,425386,602943,473263,-1,-1,-1,-1,-1,-1,-1,-1,-1,756622,-1,65314,901438,-1,192425,-1,257355,-1,-1,-1,754978,-1,708837,-1,-1,795886,872187,361370,-1,523390,275758,189188,-1,-1,583564,-1,-1,465493,-1,-1,389627,140614,895829,-1,218755,-1,949964,881449,109316,-1,909777,-1,-1,-1,-1,-1,-1,861915,808653,951230,-1,768103,-1,-1,270820,-1,-1,891488,-1,-1,514127,172390,571761,-1,-1,416867,680943,-1,218148,-1,-1,-1,-1,-1,-1,281563,-1,398490,-1,614834,142205,228624,557498,898885,-1,149232,550250,612788,495184,-1,127649,690806,-1,-1,602786,31611,-1,-1,268587,364308,427308,709839,510098,381898,631158,-1,145985,-1,-1,-1,-1,190521,-1,462441,-1,-1,581813,913568,-1,452717,-1,-1,-1,-1,458330,-1,492513,573817,-1,-1,985731,3054,860541,-1,-1,480990,-1,22175,-1,-1,161909,140803,531437,329981,-1,-1,281782,-1,-1,-1,360234,23671,-1,816317,478626,502130,696472,677544,878178,-1,966374,-1,470833,-1,145605,350183,-1,-1,-1,-1,413922,-1,714171,-1,794018,713601,734930,98216,-1,239845,188533,60508,818531,678432,-1,-1,-1,-1,557389,940730,-1,-1,899183,65127,-1,-1,665664,-1,338071,24010,-1,-1,-1,-1,227432,-1,245500,-1,409938,801529,-1,371704,-1,150755,-1,952393,-1,343356,-1,-1,-1,-1,-1,674955,562834,38774,866535,-1,956251,22250,777155,-1,451149,-1,625105,-1,610727,713337,-1,-1,33831,-1,807880,180907,-1,8396,-1,218138,202371,634483,-1,-1,-1,-1,889409,386249,926063,-1,296828,371771,710718,746411,794649,975837,333241,-1,669650,617589,988505,235604,-1,60186,638742,763600,-1,-1,43526,-1,-1,684682,-1,497462,340622,201025,-1,21194,-1,-1,625867,-1,218267,-1,80986,289665,12533,-1,-1,361849,403467,323840,-1,-1,-1,-1,375412,-1,-1,-1,-1,205455,-1,-1,644116,321495,-1,-1,56517,317048,-1,533373,107843,890457,-1,-1,415760,-1,-1,-1,573943,-1,-1,396668,433695,-1,473187,258411,-1,-1,-1,-1,182088,-1,546530,913149,-1,-1,-1,-1,-1,-1,798287,13146,-1,-1,-1,-1,935659,-1,-1,738358,-1,-1,-1,-1,-1,644792,-1,-1,-1,427797,-1,-1,633425,650887,569041,-1,-1,550332,960862,52314,991304,-1,960055,86562,-1,-1,-1,-1,266915,489204,-1,160790,869991,892351,609125,-1,851333,270816,-1,-1,-1,-1,-1,283742,755585,969402,233234,-1,736697,251167,262629,666114,723766,358729,619394,164110,953239,291745,-1,-1,347724,210900,991999,-1,891739,681187,-1,943402,373868,48489,-1,126756,-1,376573,-1,-1,266614,-1,643052,65812,218137,-1,896110,163488,605799,104530,616765,168244,-1,-1,254731,453469,-1,-1,159893,-1,203641,-1,-1,626827,782642,-1,-1,-1,-1,747255,724983,340095,-1,253209,738749,924493,-1,-1,-1,-1,999488,545754,245005,-1,-1,887323,176301,-1,965737,-1,-1,384285,589948,183466,-1,325111,-1,419593,89370,397977,361783,354534,-1,-1,-1,149522,-1,-1,679249,985684,929024,-1,-1,21879,198930,-1,445509,-1,294062,408983,569828,460566,-1,357010,23157,-1,327304,-1,-1,765707,-1,-1,-1,-1,481367,-1,-1,601580,372757,-1,656015,784403,252197,-1,773664,-1,-1,-1,605354,-1,-1,73359,-1,692331,882566,733537,-1,942323,442217,144865,-1,-1,-1,-1,-1,-1,915087,-1,856219,629124,401809,-1,-1,141207,-1,783922,-1,911968,-1,-1,-1,-1,-1,624001,603939,717022,-1,-1,-1,23024,-1,889452,596586,-1,-1,-1,767016,839112,16163,-1,-1,-1,-1,483320,974535,537040,-1,644469,-1,-1,-1,-1,-1,-1,-1,908738,74960,-1,-1,-1,968327,-1,119370,551530,-1,310965,828441,526126,-1,-1,524782,-1,-1,210912,-1,765453,-1,417140,-1,701421,-1,283661,928597,-1,745994,2741,913696,201779,-1,-1,-1,-1,723601,-1,917415,410504,972638,-1,-1,425621,821380,-1,137849,-1,115476,-1,464116,-1,-1,578677,625254,-1,-1,712711,657990,-1,-1,-1,685961,981665,797385,615289,-1,899064,158994,951053,-1,-1,899795,-1,-1,575144,177643,613574,280816,181448,43045,-1,-1,-1,-1,-1,-1,-1,600606,752004,855433,357178,-1,923066,-1,-1,97994,-1,-1,-1,230229,540978,-1,-1,-1,-1,-1,-1,-1,48466,888411,-1,-1,383308,545688,-1,83523,-1,901587,718414,298904,-1,-1,-1,-1,910240,-1,-1,264235,337315,-1,628106,232637,52632,-1,-1,107147,806789,656675,-1,-1,937388,-1,493437,-1,-1,525294,453367,-1,934630,-1,-1,105156,241976,222241,-1,-1,935828,-1,930680,-1,392707,-1,-1,-1,601979,-1,-1,-1,-1,938469,264179,-1,-1,475804,-1,9327,-1,-1,29136,-1,-1,-1,-1,851099,-1,-1,650743,-1,-1,414394,-1,4783,-1,43344,-1,709923,813093,-1,-1,116886,-1,-1,646338,382286,552817,-1,-1,711930,198218,-1,705868,796051,857096,125301,799267,-1,-1,-1,746800,-1,416972,119840,-1,299934,872235,-1,-1,-1,-1,-1,-1,937415,-1,92068,-1,-1,-1,616472,-1,728063,-1,-1,976986,658910,425886,-1,713553,-1,109504,283951,844622,431159,-1,-1,20401,-1,-1,-1,439886,227516,54953,702166,932605,-1,-1,151488,-1,117056,210617,789851,-1,205696,972167,-1,-1,742056,-1,-1,-1,-1,-1,-1,528656,974045,186087,-1,630273,106292,884957,909875,846005,-1,-1,-1,461833,-1,-1,761780,345473,-1,-1,335426,-1,-1,-1,83689,810303,130336,-1,-1,-1,-1,808680,231654,423041,58064,-1,389891,482719,238296,-1,-1,929236,161563,-1,938540,667440,511330,-1,-1,-1,-1,438411,516664,-1,-1,-1,-1,206807,-1,-1,694982,-1,-1,436745,859226,-1,-1,-1,636659,-1,-1,763461,103404,706445,77463,-1,-1,-1,996999,-1,-1,7202,573785,641800,400829,-1,-1,-1,826968,-1,-1,-1,523086,517497,-1,267116,-1,356134,-1,92187,-1,9328,-1,-1,815408,488904,-1,821594,-1,853450,-1,721250,972522,372505,-1,-1,-1,-1,-1,78157,552991,-1,-1,283750,189842,688161,694572,-1,943508,-1,862613,-1,-1,-1,850026,946342,-1,-1,-1,-1,-1,-1,-1,431047,237963,-1,-1,-1,92768,-1,17045,602508,-1,-1,783212,-1,-1,-1,39562,-1,90014,348567,-1,400415,761512,-1,-1,-1,-1,637106,456649,199268,-1,917814,290818,-1,83383,-1,929410,-1,-1,13698,279656,-1,350945,728580,-1,-1,-1,-1,16889,885899,504529,-1,-1,-1,207085,-1,112788,-1,-1,-1,-1,-1,263636,-1,369000,825519,-1,238044,-1,-1,-1,746694,-1,-1,19345,31210,551722,-1,424989,-1,-1,-1,117826,-1,812850,755921,254517,-1,-1,-1,694987,272735,-1,178370,154959,17745,197685,-1,743210,143360,-1,214925,-1,-1,-1,651096,840866,-1,-1,-1,-1,913799,169379,-1,960900,-1,-1,392909,20195,306304,900335,-1,-1,-1,-1,424625,759326,28870,-1,-1,650893,331333,886246,-1,-1,-1,673449,6142,303788,-1,-1,-1,787808,517852,984910,-1,-1,-1,80053,-1,656762,538669,18268,51671,206081,824074,69882,152304,433072,-1,-1,591402,-1,-1,824052,663481,-1,-1,390511,211734,282713,-1,468228,902440,-1,-1,699778,-1,285762,-1,-1,-1,509136,-1,679548,-1,636846,-1,819310,-1,24021,-1,698492,-1,-1,370033,-1,-1,840874,923904,-1,-1,-1,132885,309615,103314,-1,-1,721489,789670,119973,-1,-1,-1,-1,710672,945132,-1,-1,-1,-1,-1,-1,-1,-1,-1,911594,842720,957274,-1,86779,294775,-1,-1,611978,-1,378283,-1,-1,580230,-1,361313,392781,-1,621842,397207,-1,963546,-1,-1,-1,848439,216347,-1,-1,-1,-1,-1,800676,965049,-1,-1,29969,482468,307201,811059,253851,-1,563952,509029,277218,-1,-1,75554,-1,971699,805471,59983,765606,89476,508158,-1,34357,-1,729893,996698,326156,346409,140263,-1,594913,-1,546822,281155,-1,688571,472086,112771,586889,339870,667246,-1,-1,539513,352069,828845,387887,-1,192950,143589,-1,277108,446924,170877,179743,363372,828898,696502,-1,-1,-1,-1,-1,735880,698832,783792,993590,73950,951108,86177,929221,-1,598876,-1,678776,668099,626532,-1,569092,995658,690591,-1,842049,-1,-1,-1,696146,-1,-1,-1,-1,348326,866397,746375,-1,467699,510970,349517,209793,432381,578931,214914,117671,-1,-1,340907,135409,-1,133584,-1,714554,-1,-1,723952,62818,952613,289281,848760,-1,-1,-1,-1,539185,302080,-1,-1,-1,-1,18989,-1,653483,659691,731431,94219,-1,754005,258172,622807,372057,-1,-1,179684,-1,-1,-1,560691,-1,742840,-1,537523,-1,221404,515516,-1,749470,-1,-1,319250,-1,-1,-1,-1,-1,536538,-1,-1,-1,886782,-1,-1,628418,-1,873064,-1,670613,755773,216539,787,789994,170588,-1,-1,141261,-1,-1,995820,358338,-1,-1,-1,-1,-1,-1,622742,869016,155050,483482,-1,938299,-1,-1,-1,74528,-1,553019,-1,-1,853557,993055,965782,-1,341147,-1,-1,749587,-1,-1,-1,-1,24610,936123,-1,-1,-1,-1,-1,955989,769250,637139,-1,-1,322280,-1,-1,-1,701477,417450,994373,766006,-1,-1,-1,-1,-1,32750,-1,829961,-1,975804,55424,-1,-1,284556,385608,-1,-1,-1,-1,-1,-1,-1,369300,-1,-1,-1,251282,766638,-1,-1,-1,-1,-1,-1,514338,-1,-1,-1,-1,-1,855361,-1,57125,717093,711623,-1,413084,-1,-1,-1,702259,899645,712554,-1,-1,129399,13645,831812,-1,-1,-1,-1,-1,-1,212393,-1,355392,755972,-1,-1,-1,-1,689233,-1,721587,-1,230641,430298,129890,-1,164416,-1,-1,716213,709259,-1,-1,33703,-1,81631,-1,587616,-1,-1,-1,-1,494062,-1,105960,-1,-1,661785,-1,-1,893395,-1,-1,868255,-1,189059,663941,-1,-1,378658,-1,894358,-1,104313,56755,77185,-1,-1,-1,401024,741011,-1,877004,-1,-1,-1,-1,266470,-1,-1,255441,-1,443389,-1,-1,-1,-1,549092,709798,797312,807437,-1,-1,240099,-1,-1,808043,421006,24788,-1,-1,-1,-1,948676,-1,-1,161216,941773,-1,160306,802559,-1,-1,-1,-1,732240,-1,-1,-1,-1,311913,-1,529985,-1,657602,360217,-1,-1,172827,793377,575647,981753,-1,-1,619921,993976,533009,-1,-1,-1,747438,-1,-1,-1,232803,-1,513451,-1,617652,205372,-1,-1,821552,-1,946952,891956,201328,-1,184510,987184,-1,90139,496730,-1,928105,-1,-1,509579,87646,-1,-1,-1,270710,-1,445662,-1,461069,534499,-1,440012,-1,-1,286309,-1,639185,-1,866267,-1,-1,144688,-1,-1,-1,163668,-1,346891,421887,198544,280677,766534,787736,500860,-1,76928,-1,824704,-1,178411,-1,969448,441029,-1,543385,-1,-1,-1,777840,-1,-1,-1,-1,305479,562935,399116,-1,682204,93063,799439,436903,-1,-1,582968,-1,782940,377486,416708,-1,497151,-1,-1,964407,-1,926830,533191,997940,88893,105274,763799,605825,949381,-1,49505,337646,284803,-1,-1,-1,506243,303959,361276,-1,230244,713916,-1,-1,661483,-1,717750,578358,411229,82804,-1,858261,-1,-1,61852,322474,629699,533144,221282,-1,-1,22792,-1,-1,-1,886629,-1,124704,38946,-1,-1,285277,-1,-1,202989,436503,-1,-1,-1,-1,-1,-1,358411,811659,-1,-1,936101,848995,352212,-1,542595,844855,-1,-1,-1,813842,486159,-1,-1,-1,481845,-1,538798,701824,759646,190720,567629,81153,-1,-1,214629,-1,-1,22071,-1,-1,392290,-1,217824,-1,374016,-1,-1,-1,41046,-1,634204,919047,327590,370357,-1,-1,-1,359322,-1,133962,246522,711861,418292,140705,-1,451174,-1,751242,-1,-1,318871,-1,-1,111045,-1,36392,114684,90154,-1,-1,-1,949944,757959,-1,-1,-1,232216,501122,-1,-1,115883,983190,-1,881989,-1,-1,923634,-1,-1,-1,-1,-1,361686,-1,750545,618070,190028,-1,-1,-1,354129,31888,-1,-1,994203,593585,-1,170287,689784,-1,-1,-1,237562,-1,999891,758073,45319,606231,352559,59730,623972,160057,-1,-1,-1,640874,242890,323567,-1,721931,320490,113701,-1,942674,803164,-1,-1,-1,-1,-1,-1,885658,423395,-1,347245,287920,239545,863517,260850,-1,255562,78744,-1,-1,-1,205545,-1,-1,768998,776908,-1,-1,951152,-1,845549,-1,-1,-1,612536,-1,508064,-1,696628,354104,488813,672774,714174,-1,-1,608098,-1,31698,860992,-1,317118,429102,-1,-1,-1,-1,722564,-1,-1,-1,-1,798179,922180,-1,-1,-1,-1,355898,102774,-1,180549,448404,-1,118790,685165,-1,868703,695303,-1,24450,322899,245647,44622,-1,-1,-1,618853,235123,258895,-1,-1,-1,-1,-1,812820,-1,277007,278055,-1,482463,-1,930367,-1,-1,958207,-1,304861,618313,-1,705672,402281,-1,-1,746267,-1,-1,-1,388217,268217,191457,-1,131120,-1,-1,38971,609554,889537,-1,-1,76175,-1,-1,905066,962576,-1,431209,875710,-1,452669,-1,-1,-1,917922,-1,-1,-1,946450,194061,275972,387443,-1,-1,102698,900244,768945,887190,-1,310960,42726,-1,-1,-1,635548,871424,184197,564886,705525,479922,199744,136948,910133,-1,708648,-1,769315,393355,-1,820822,-1,488732,418708,-1,-1,606867,-1,-1,794840,-1,-1,540959,351842,484198,-1,223625,741765,-1,677920,892078,-1,405519,-1,422359,734909,883724,565439,929869,-1,271004,400081,-1,-1,170522,-1,-1,653216,-1,723788,55958,-1,548968,-1,-1,-1,732779,401827,-1,-1,487508,761511,138255,404146,-1,-1,-1,-1,766757,335201,905222,-1,990037,960762,744452,638143,971121,89066,-1,-1,-1,833444,921622,500115,226378,344931,645587,-1,-1,744907,-1,560990,-1,577873,-1,-1,-1,382573,-1,-1,273116,-1,-1,-1,549892,-1,-1,614766,556956,-1,86377,758477,373329,-1,-1,883504,833426,451112,-1,-1,329123,134362,483969,-1,-1,395217,-1,-1,-1,176576,583238,356924,-1,-1,216029,-1,-1,481217,170526,-1,-1,-1,-1,-1,-1,22216,365877,-1,-1,103849,425132,684099,-1,-1,350185,-1,-1,113130,981844,538850,-1,713414,-1,-1,466452,-1,-1,649181,151902,383245,2061,211426,501534,41328,769264,536968,-1,-1,-1,946086,-1,-1,912169,-1,-1,271693,915929,567607,-1,-1,-1,-1,-1,252158,-1,476043,-1,-1,-1,-1,936680,433539,435237,-1,-1,902298,-1,-1,843814,900392,-1,-1,910392,59885,-1,274458,-1,-1,-1,-1,-1,940311,-1,-1,-1,-1,117749,-1,85789,-1,878054,-1,822476,540643,655903,-1,831591,963709,-1,527702,-1,5423,625358,-1,231515,-1,-1,-1,-1,624952,-1,-1,733126,-1,814246,-1,597293,904800,-1,721336,172842,-1,317896,-1,296565,-1,-1,783369,-1,-1,-1,-1,-1,65867,-1,-1,140334,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,481626,-1,-1,847315,-1,833037,-1,488446,944239,986064,-1,-1,457821,992274,-1,-1,467198,104120,364547,-1,-1,-1,323135,578095,-1,250109,-1,916310,-1,-1,-1,-1,141672,-1,-1,-1,-1,654302,-1,-1,-1,88876,555615,-1,315183,-1,900752,-1,578069,-1,368666,-1,827860,-1,878557,667859,-1,-1,21686,-1,-1,148954,258356,140643,-1,3960,-1,993968,-1,121728,319752,-1,-1,861382,654292,-1,-1,-1,315333,-1,484564,695826,-1,736995,-1,390450,-1,18299,842421,-1,-1,-1,716979,664746,349148,-1,-1,-1,-1,-1,637442,310964,-1,382308,39376,-1,465245,-1,-1,104657,222802,-1,755084,213557,-1,614565,-1,234660,673456,-1,605575,-1,-1,549881,720190,523888,492038,-1,730535,886315,-1,-1,-1,416734,559330,-1,-1,-1,-1,-1,236126,908546,-1,-1,777490,-1,-1,-1,462732,-1,-1,-1,717266,-1,488676,-1,322897,-1,-1,120269,136746,692380,126790,-1,11877,712831,-1,394140,785951,-1,553189,37544,-1,997071,630498,725965,-1,87229,285008,657223,-1,632828,-1,932979,545124,793855,-1,-1,-1,561334,771003,-1,-1,942326,78039,-1,786028,-1,211325,-1,-1,112443,-1,-1,123243,-1,-1,520966,514438,-1,525268,534893,957060,351337,459542,-1,833535,-1,-1,673801,641057,709420,537934,-1,-1,-1,46800,-1,-1,126760,803566,-1,508510,-1,-1,-1,736280,904445,210700,595606,-1,-1,-1,-1,558007,32988,675879,-1,383401,152050,-1,527421,-1,767779,401612,509559,927218,-1,-1,-1,-1,127824,-1,-1,-1,-1,243377,-1,-1,-1,217223,213421,64516,-1,940522,-1,855889,210649,-1,-1,-1,361922,481347,-1,-1,-1,615007,657263,427723,-1,-1,179983,67262,-1,-1,-1,-1,-1,535674,234567,-1,954108,322940,344942,-1,-1,445761,-1,641774,-1,-1,491793,713235,474112,-1,-1,628815,-1,-1,485165,-1,643463,-1,348766,-1,-1,77006,405036,-1,48759,-1,-1,851564,709233,907229,-1,-1,732253,-1,940772,945024,-1,590547,203739,-1,-1,917704,833477,808837,468696,582720,-1,-1,-1,292328,-1,662671,848358,-1,-1,649235,293776,-1,-1,-1,442001,887123,-1,-1,-1,-1,438363,-1,-1,973665,-1,-1,778236,373409,-1,734934,959499,773896,-1,155188,-1,396869,216260,-1,-1,-1,-1,-1,-1,-1,839468,-1,-1,-1,-1,-1,-1,240734,-1,171745,-1,31356,380900,-1,547202,432925,-1,316467,482954,600427,312868,-1,-1,738840,-1,785673,-1,105191,238926,925463,-1,-1,-1,350990,-1,344279,-1,-1,723973,-1,409533,259724,845021,-1,791854,16932,-1,373468,-1,-1,714091,-1,569166,753659,-1,-1,704293,-1,-1,-1,473320,-1,506263,-1,-1,104893,991311,-1,983176,-1,-1,564249,-1,-1,-1,929437,-1,742233,-1,108442,97604,290456,-1,-1,-1,673737,732803,473206,483625,716943,213215,-1,-1,-1,196681,912853,-1,-1,31721,-1,468015,-1,-1,-1,615480,-1,351738,36442,401905,789458,-1,563762,-1,114182,235095,466775,309584,691727,731529,-1,911335,113615,-1,-1,313702,65071,-1,-1,-1,522732,-1,-1,333256,453207,-1,308073,163757,103851,-1,380387,772307,937871,-1,-1,91959,554579,-1,-1,680645,-1,721977,-1,767229,-1,-1,-1,972012,-1,318783,643881,-1,898163,538369,479598,693349,-1,-1,110827,-1,-1,-1,241361,468321,845879,654597,46707,221063,7891,598768,-1,-1,-1,-1,566841,-1,668292,-1,-1,-1,-1,339892,559334,-1,-1,-1,486413,-1,375564,-1,139584,-1,-1,-1,-1,588487,422422,-1,789360,499609,-1,997281,524274,-1,978082,-1,710894,-1,209938,-1,457250,-1,-1,409698,80879,-1,-1,118412,540561,-1,-1,-1,231156,353606,215928,783177,877229,-1,805624,-1,184425,378587,410844,333598,-1,-1,-1,-1,884927,539023,747386,574395,276005,-1,369287,857295,212131,681853,486504,-1,-1,539631,-1,311816,993005,-1,-1,-1,-1,-1,208554,341986,167203,565627,391154,756398,451583,-1,-1,-1,-1,-1,154667,548014,-1,-1,-1,-1,-1,-1,285882,379673,565430,-1,-1,303929,-1,579073,747736,901193,70398,779471,855485,-1,-1,-1,-1,-1,295253,753026,658790,-1,-1,280924,-1,-1,-1,834132,-1,-1,-1,47478,-1,962934,-1,926164,-1,-1,821251,349949,52765,-1,336458,807874,82823,734973,-1,680130,-1,-1,-1,-1,253397,694926,-1,-1,299682,578471,674283,182599,775424,-1,-1,-1,991651,-1,-1,-1,838546,-1,406486,-1,11624,437459,-1,295723,404481,-1,212099,398762,723100,96908,279435,914119,-1,233969,656098,-1,264799,264464,-1,-1,414042,439631,-1,-1,-1,965938,-1,155643,-1,360732,780935,-1,-1,-1,466447,-1,306528,679208,-1,-1,-1,-1,660610,-1,378445,81685,910396,426310,-1,921452,-1,-1,-1,432169,573312,-1,-1,250553,348065,651723,145538,-1,-1,869062,-1,-1,781346,-1,-1,-1,714146,919611,-1,381606,208990,119298,318644,-1,780235,368101,-1,856797,-1,86769,680026,-1,5106,877134,83404,-1,546130,172317,-1,-1,-1,625422,-1,589580,-1,284540,645812,267211,-1,-1,45763,881018,-1,626546,-1,130931,963500,-1,300310,-1,945982,-1,-1,360750,-1,91339,-1,391849,510104,-1,-1,-1,-1,-1,-1,72793,-1,405296,-1,-1,-1,-1,-1,466723,-1,-1,108756,-1,-1,831235,48802,-1,571978,90871,397495,588391,-1,805063,223856,467533,-1,-1,-1,935975,359988,-1,-1,-1,-1,326602,-1,348339,25055,136210,-1,162424,-1,806258,113799,-1,974297,154437,293117,810198,753947,-1,-1,756266,-1,680539,961336,108417,198001,-1,-1,153819,-1,176094,222503,711936,-1,-1,174542,-1,-1,-1,424484,-1,-1,-1,475218,84238,54964,-1,-1,212248,731470,574784,-1,-1,-1,233095,202201,364735,-1,862638,135150,515619,-1,411014,-1,251347,802665,-1,-1,885053,-1,807430,-1,-1,887866,-1,-1,-1,661022,-1,743987,556567,135420,-1,-1,508451,967679,677701,-1,-1,-1,556483,-1,436300,-1,-1,-1,-1,820803,-1,-1,775606,734740,-1,198485,-1,-1,-1,207195,-1,-1,611510,330949,-1,-1,832699,27833,829853,-1,-1,-1,668354,127372,587260,219243,674933,-1,316008,-1,935643,-1,-1,-1,-1,615952,151,71824,550349,-1,-1,-1,834690,418007,296411,-1,-1,677484,528277,46480,870942,-1,-1,200617,609791,-1,-1,-1,667260,-1,56828,398139,-1,949446,-1,340806,-1,178377,311001,521392,383624,-1,-1,909470,174248,-1,493687,-1,-1,995453,-1,-1,-1,158011,765695,798122,203185,-1,-1,-1,541851,-1,-1,243193,917983,-1,-1,585421,-1,-1,641514,33094,-1,-1,741291,-1,-1,-1,-1,655442,546568,767941,-1,322253,692443,-1,620205,-1,490166,809784,-1,446766,369435,220587,680731,-1,-1,260815,747217,-1,-1,-1,-1,939986,641396,-1,814813,-1,-1,-1,-1,825041,32654,-1,353633,660693,-1,189067,287631,481343,-1,-1,391525,479777,46916,520146,868275,842322,329767,-1,-1,-1,-1,659948,-1,-1,903759,570878,507489,600436,254504,-1,-1,396234,-1,-1,250521,-1,637939,-1,845517,-1,851608,-1,506869,-1,-1,-1,-1,-1,125181,-1,623125,-1,-1,251982,-1,-1,-1,-1,213250,-1,644805,16974,-1,-1,525136,18460,979907,-1,-1,-1,351577,-1,-1,588948,-1,648222,-1,-1,167365,-1,-1,-1,6055,-1,-1,189297,-1,-1,-1,100740,-1,-1,19027,-1,-1,833504,517986,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,400131,126426,-1,-1,-1,902939,277856,493456,984176,420881,-1,937633,-1,-1,-1,476423,831301,358395,-1,-1,-1,-1,780409,129167,185014,-1,767697,100425,-1,-1,335697,247107,867549,162706,125830,346552,-1,-1,-1,770436,-1,-1,-1,-1,-1,-1,255639,921,-1,-1,-1,-1,-1,21666,-1,-1,45936,888192,802339,-1,332077,-1,902190,-1,296304,-1,-1,-1,-1,471946,718963,326072,-1,777783,-1,-1,339884,137886,-1,-1,306850,-1,986287,-1,-1,-1,-1,-1,460811,-1,773394,908408,-1,837926,470679,644442,-1,420589,-1,-1,-1,375680,11407,-1,-1,-1,-1,779308,-1,-1,-1,931359,427549,-1,-1,581669,124632,307952,405019,-1,-1,-1,943768,15137,-1,-1,620086,68962,395548,-1,-1,-1,43522,579223,-1,906175,353127,443104,330282,977256,874393,564557,643517,-1,352871,297295,144293,-1,-1,511573,-1,304026,239727,22636,-1,-1,370169,177810,-1,-1,-1,440184,479933,710533,590740,-1,112382,-1,515607,-1,-1,824307,-1,384553,222174,-1,-1,-1,114585,-1,-1,75996,867498,-1,223462,253110,-1,-1,849768,-1,404314,-1,-1,156027,-1,280916,-1,-1,880863,6332,911244,693248,676716,93599,-1,206508,-1,-1,194557,-1,-1,-1,392570,-1,-1,265838,-1,798170,-1,-1,-1,385407,-1,-1,453580,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,146744,-1,427857,202602,-1,429459,647804,-1,376191,-1,820151,-1,875640,-1,-1,647229,926198,-1,-1,974788,858844,-1,-1,13191,-1,328177,-1,588122,-1,815470,784173,451178,-1,615083,365695,544302,-1,-1,925734,339655,276293,967049,700763,-1,-1,-1,566581,-1,666267,-1,-1,300745,823965,731517,-1,153842,188362,831821,-1,157770,722806,951351,-1,910490,431096,513488,726787,90589,-1,260823,-1,240667,938436,-1,-1,736126,5291,-1,-1,-1,126740,357257,-1,863093,358379,-1,558628,329295,-1,-1,398605,284329,-1,-1,450816,-1,801656,-1,-1,-1,-1,-1,-1,856523,893806,-1,-1,-1,213174,78029,613523,792314,393626,656787,755351,588742,313451,981370,-1,849173,178706,664643,277373,342603,234142,724547,44735,353685,-1,690743,673354,238655,368901,-1,882810,-1,705787,-1,506438,-1,-1,612196,241957,-1,508771,67062,-1,-1,860939,-1,-1,466320,-1,119633,255197,-1,594741,599753,-1,129590,-1,-1,685027,120319,-1,418543,486511,-1,-1,-1,-1,-1,-1,763450,181254,502910,-1,-1,650203,-1,385723,763720,303558,-1,488064,-1,-1,840916,529068,-1,-1,500746,-1,-1,990593,-1,-1,108676,-1,-1,555181,842154,-1,462553,-1,913231,638137,400224,845082,389034,-1,-1,-1,72994,163073,-1,81815,376617,-1,454130,-1,809195,398618,14423,-1,228479,-1,-1,388381,-1,127170,-1,-1,759491,-1,130384,664515,-1,683705,-1,-1,-1,249936,116984,601850,-1,386625,195610,174028,309314,283122,-1,-1,-1,-1,-1,878764,-1,150491,-1,-1,-1,-1,-1,-1,662296,753585,976476,844566,-1,-1,-1,392926,924871,554093,512469,-1,-1,-1,733896,-1,759520,55773,812205,-1,771039,70479,-1,116029,491937,-1,503772,773144,-1,523258,452136,-1,873430,199032,209443,-1,-1,-1,927695,276107,-1,420493,957503,764324,116059,115870,46247,882384,-1,-1,487710,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,588832,-1,522480,-1,679756,-1,27500,414131,-1,483138,228861,482733,534463,488784,-1,153327,-1,142979,412679,261183,139697,-1,97078,-1,-1,980072,-1,-1,-1,823769,-1,-1,5958,782138,57256,229988,-1,-1,-1,-1,148303,782114,-1,812842,-1,-1,158595,761842,-1,-1,-1,-1,466391,-1,-1,987554,-1,307467,380933,678864,-1,-1,447672,-1,803213,-1,-1,880112,-1,-1,-1,291009,103777,341790,499341,-1,353911,21402,912173,271209,824498,341686,519206,-1,-1,49893,855790,-1,175551,426750,-1,508638,-1,434438,-1,613666,587496,957018,722886,-1,382923,854684,-1,-1,826291,293109,-1,-1,-1,-1,984390,373584,283904,-1,740599,369333,-1,-1,-1,106587,-1,640031,-1,-1,-1,-1,958411,-1,-1,559258,973679,-1,-1,-1,984355,-1,98052,200606,-1,-1,521762,864500,-1,-1,956471,47242,-1,675288,-1,422656,946278,-1,-1,358199,-1,698547,813870,830243,-1,-1,745081,240886,-1,-1,-1,-1,-1,-1,-1,-1,672270,-1,-1,-1,-1,-1,-1,745608,155295,222749,-1,101524,-1,348734,120459,749573,115988,432137,584409,211565,-1,477209,562375,75858,804551,-1,597110,487129,-1,192497,-1,-1,-1,-1,704078,-1,-1,74988,461447,-1,499306,509847,289297,-1,-1,386195,825482,-1,234923,4423,-1,922071,-1,873533,-1,-1,-1,-1,-1,-1,-1,-1,-1,331260,651201,792406,46756,326887,196907,-1,685244,356492,-1,-1,-1,856595,58421,886503,-1,-1,-1,407185,683752,-1,-1,879948,-1,323864,417897,486292,843939,997864,730944,541347,298380,-1,361333,777789,940001,-1,-1,-1,-1,-1,49738,-1,946205,-1,445226,-1,826366,-1,986807,-1,125176,494187,970333,-1,828054,-1,625434,-1,-1,-1,695090,371535,-1,-1,279287,793639,-1,-1,-1,-1,-1,-1,593301,-1,-1,563564,346586,211098,-1,337826,906105,-1,-1,-1,-1,133749,872826,594097,625253,-1,16849,322233,-1,-1,-1,-1,-1,-1,338284,-1,-1,-1,-1,581710,-1,-1,753501,115600,165271,51228,589194,-1,547035,634056,-1,151572,951037,148417,842302,787606,53476,-1,-1,-1,572040,-1,-1,107145,85391,910287,-1,60431,-1,-1,-1,-1,44335,260073,-1,258781,723867,596020,-1,-1,318208,-1,208262,-1,-1,426019,726664,-1,283614,-1,-1,-1,-1,108695,619286,439971,-1,949206,-1,-1,-1,797899,129242,-1,-1,46286,240604,4831,-1,643513,-1,-1,65967,975641,-1,163797,768085,214590,-1,-1,-1,-1,-1,-1,851238,38261,103599,-1,-1,299290,-1,687335,10161,-1,-1,-1,-1,-1,526746,-1,-1,261753,-1,-1,-1,-1,-1,-1,338968,-1,724287,-1,578268,-1,69768,-1,32744,-1,-1,994960,809525,214023,-1,-1,101240,553433,-1,453146,159331,96831,-1,-1,947893,518722,844495,538885,669047,-1,-1,-1,-1,690048,244517,-1,220177,629676,854670,-1,289244,544618,-1,-1,403187,-1,515652,-1,-1,627614,-1,-1,-1,-1,11959,331824,-1,312691,-1,-1,-1,724277,888057,782456,689545,208919,-1,-1,-1,-1,524188,313248,292788,868830,-1,-1,596361,-1,-1,-1,-1,79250,-1,-1,484370,-1,-1,-1,-1,628283,172934,-1,-1,203000,924367,720714,-1,776234,-1,270150,-1,466319,639463,-1,612009,-1,-1,43553,-1,495849,-1,-1,155610,-1,204105,983129,291902,-1,-1,-1,-1,129044,412525,-1,-1,24185,-1,636721,701587,-1,922358,-1,-1,5294,112345,-1,24652,-1,-1,967603,-1,-1,-1,-1,-1,29692,-1,264642,629202,-1,622276,-1,403288,549572,524946,74021,-1,552402,-1,-1,654973,655392,94665,777988,-1,777902,630473,241153,-1,843553,-1,-1,-1,-1,-1,641610,-1,31343,627257,18703,-1,58979,-1,-1,-1,358468,-1,-1,235165,457327,-1,150495,545337,131055,976260,832623,-1,-1,-1,985837,400568,621246,-1,33113,-1,-1,391221,-1,325509,-1,-1,175459,-1,-1,-1,-1,-1,-1,-1,-1,55359,713300,-1,-1,82248,469366,-1,-1,-1,396023,523073,55084,93132,671899,-1,418052,-1,426886,-1,242304,-1,-1,575816,444822,-1,339703,-1,-1,-1,-1,-1,-1,853573,792460,-1,427344,692555,-1,-1,654467,558511,-1,-1,708274,-1,486766,-1,-1,304490,-1,141800,626475,-1,289015,536253,-1,-1,183483,-1,123739,411239,202629,945797,-1,-1,-1,747998,914438,890330,753220,141010,-1,973456,-1,383177,570046,187659,-1,-1,-1,741623,744683,460895,-1,966261,-1,-1,172876,395820,647115,264938,-1,574857,454062,-1,-1,250404,372464,887503,926438,-1,626938,678798,741653,-1,654547,-1,409590,171334,753547,171784,929599,723396,837222,-1,-1,-1,-1,-1,-1,386524,-1,590098,-1,-1,603473,-1,-1,-1,46690,-1,-1,-1,479390,-1,205035,-1,-1,-1,210009,351835,-1,-1,900319,-1,-1,-1,-1,634539,-1,836544,608714,-1,799052,654159,-1,-1,-1,-1,729740,-1,-1,474613,784736,-1,-1,432872,989888,29205,-1,-1,869835,158808,885901,882568,586731,-1,877629,-1,-1,-1,918526,-1,210250,-1,3238,-1,323297,783157,854068,192490,92952,276506,-1,-1,318680,-1,-1,134354,274596,-1,-1,746472,151478,683585,924755,934127,-1,496300,33283,121284,999812,-1,562648,-1,431345,-1,-1,-1,-1,187753,700905,-1,-1,-1,997672,693690,963736,-1,-1,831148,-1,-1,-1,396927,95987,8209,139690,152115,-1,656185,498954,813791,-1,432051,-1,292314,242000,464035,682367,-1,-1,-1,717010,-1,194892,-1,586461,-1,31691,-1,-1,771563,-1,-1,237544,869233,166861,259553,966759,43592,-1,-1,880885,831283,898709,241377,-1,374980,209534,-1,877294,233657,-1,797008,834866,107192,-1,358760,-1,314867,-1,322753,-1,-1,182212,-1,-1,849229,780886,-1,734137,792989,-1,952069,267302,425676,758290,-1,-1,826952,-1,238600,330371,-1,947263,-1,-1,-1,879481,-1,784500,170098,218224,-1,776099,-1,844768,558878,-1,-1,-1,-1,-1,275727,-1,-1,-1,-1,-1,-1,923949,674716,-1,857759,125587,795023,-1,-1,-1,-1,452066,742163,-1,-1,813244,530518,632066,-1,-1,30227,-1,950646,-1,-1,-1,934272,719412,128076,-1,-1,763541,-1,-1,-1,140034,-1,-1,-1,628375,613004,740343,264146,464051,-1,933778,-1,-1,-1,-1,-1,-1,263895,594943,361633,42278,-1,531425,883645,-1,-1,317454,962481,-1,199823,-1,-1,-1,3633,-1,-1,-1,-1,-1,-1,-1,-1,319100,19830,-1,515617,-1,-1,-1,975704,368668,-1,-1,806497,-1,304786,-1,-1,-1,842204,318172,-1,669881,525424,815689,-1,24158,-1,572654,-1,514999,-1,632592,551133,-1,340937,1142,-1,776719,290235,296662,913423,-1,425895,-1,-1,969480,573208,168180,315776,-1,-1,954546,-1,-1,616954,590659,-1,-1,647644,449691,-1,835231,404489,299539,103954,15453,888199,-1,665822,-1,864726,672539,957828,11638,619737,918680,352890,-1,898352,193711,992113,-1,-1,-1,-1,602192,-1,-1,-1,-1,554351,361012,525263,-1,890864,-1,-1,7161,709539,-1,488797,811936,335711,-1,-1,-1,553135,745842,181036,-1,-1,717168,-1,-1,416966,-1,194655,-1,464311,-1,388178,598720,-1,656251,-1,909294,-1,-1,-1,729119,-1,-1,-1,-1,150703,-1,-1,654947,701152,-1,-1,-1,-1,963845,560198,962743,642680,-1,-1,-1,-1,-1,923306,694035,887898,105886,610679,-1,-1,466605,194646,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,252987,706167,778517,325709,-1,192539,256578,-1,-1,517940,8108,-1,899009,998775,-1,550856,-1,752173,499635,-1,422111,650734,-1,885112,-1,171907,262087,392464,-1,976314,339333,740148,133249,38952,-1,691755,-1,728986,-1,239883,883760,-1,935100,443272,104283,-1,707892,-1,648142,230181,-1,-1,-1,-1,-1,556830,910865,-1,-1,-1,-1,994841,967762,551054,5021,-1,-1,-1,838719,830696,-1,-1,454386,950033,497704,121753,614210,-1,-1,-1,-1,-1,-1,643674,103267,-1,762244,-1,-1,-1,622158,-1,314276,-1,920610,-1,-1,-1,-1,-1,804765,408522,-1,438973,-1,153207,34197,186538,722216,519361,-1,-1,727874,-1,159643,526772,-1,-1,808621,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,40108,704454,-1,-1,-1,990130,493599,805530,-1,646176,-1,-1,-1,247056,-1,594497,-1,227434,662053,110542,885762,-1,-1,-1,-1,-1,982034,-1,123956,-1,125898,931131,-1,-1,111998,-1,348621,-1,-1,364197,-1,700789,-1,-1,273300,670232,-1,329436,278338,422296,-1,843834,-1,-1,-1,44049,731516,-1,-1,62203,-1,959714,-1,928888,-1,872854,501633,756897,-1,668888,214288,-1,16823,-1,-1,946866,-1,-1,-1,-1,722304,192645,801399,949221,-1,-1,3520,174020,864516,148164,-1,196274,-1,753955,-1,-1,-1,-1,639455,-1,527448,-1,-1,-1,312131,536427,337944,-1,399013,-1,-1,189057,-1,-1,-1,229947,163803,688048,-1,233980,685475,341119,-1,810433,-1,329438,-1,-1,888637,501586,-1,-1,948576,722853,933433,585303,-1,548884,-1,-1,446978,-1,-1,-1,-1,-1,-1,633401,-1,578094,581978,970338,801237,-1,-1,-1,469169,-1,472787,230596,193450,-1,-1,-1,721367,904592,453924,135146,756689,766036,996308,-1,-1,-1,231426,-1,256635,-1,-1,-1,-1,712084,-1,979147,-1,-1,-1,583746,-1,-1,-1,-1,-1,144675,-1,594472,602842,526628,-1,365646,697873,-1,-1,-1,907295,-1,39696,586940,-1,-1,-1,-1,-1,883179,-1,618386,154042,-1,-1,-1,788851,-1,-1,-1,-1,-1,810811,-1,-1,828285,-1,-1,-1,518352,370250,122001,492724,460161,-1,-1,-1,413511,-1,752218,-1,-1,-1,-1,-1,-1,259478,-1,-1,522240,596299,896472,-1,-1,413050,880368,-1,867863,145629,-1,383963,547269,-1,-1,-1,614584,-1,3757,-1,363800,-1,545282,27730,192815,12242,757085,535479,478173,-1,-1,-1,828096,-1,372921,-1,-1,493869,-1,-1,-1,354051,116858,74191,-1,770781,-1,650146,-1,346883,921249,-1,-1,196466,302360,-1,249467,-1,-1,-1,933943,-1,-1,-1,-1,342993,-1,-1,396445,-1,-1,-1,435273,515892,92910,245604,-1,-1,138327,-1,511389,-1,390549,-1,-1,441998,-1,781562,-1,670785,-1,718811,-1,-1,472172,-1,438379,-1,-1,982896,-1,-1,418433,941453,-1,-1,82435,-1,902777,-1,690094,-1,866658,-1,-1,-1,486122,-1,-1,-1,-1,990889,465491,621721,916280,-1,284832,273219,-1,-1,-1,564841,579193,-1,-1,718285,-1,-1,614378,-1,-1,585911,-1,-1,452515,-1,-1,17555,996796,-1,195536,-1,-1,333839,-1,794197,716035,-1,55771,731893,-1,-1,-1,-1,-1,101197,662075,-1,-1,751789,8769,-1,321180,178093,202421,-1,-1,-1,-1,893856,536640,649594,920411,800653,-1,325494,-1,209877,807690,794966,-1,535533,431816,-1,352579,-1,711197,-1,-1,568826,633169,-1,37140,986316,-1,918414,219304,252979,-1,66449,-1,863754,325318,206066,-1,173608,177136,-1,-1,668446,-1,-1,-1,-1,-1,145318,-1,-1,693700,-1,-1,589237,-1,81258,-1,-1,85375,-1,550009,708374,603350,-1,-1,-1,-1,99962,932457,192078,-1,891912,-1,-1,274693,-1,196273,814601,-1,-1,180921,-1,-1,-1,-1,610716,463137,504244,110069,391132,594930,712479,-1,-1,231347,-1,-1,248492,595986,189091,798776,958034,-1,-1,457966,708921,-1,473253,-1,-1,-1,-1,980718,637015,504206,-1,393201,449866,761417,677362,605628,354548,-1,196598,481581,535561,-1,-1,-1,-1,-1,811123,-1,14953,549353,-1,294278,319086,739714,-1,184124,687619,-1,-1,597634,472044,271894,836387,-1,863445,509167,-1,-1,-1,110494,963329,99268,-1,-1,462169,641222,-1,-1,-1,-1,752229,947890,-1,231017,258818,352609,-1,-1,156286,-1,786739,-1,-1,-1,856114,621212,-1,296881,-1,944646,801343,605263,-1,-1,949301,760028,940702,494720,741366,-1,193717,-1,244177,-1,187689,78318,-1,272752,934946,993860,78367,-1,-1,-1,13414,402311,-1,-1,-1,-1,-1,-1,-1,450420,-1,943755,227528,533547,277624,251189,-1,-1,425452,502644,-1,-1,-1,694515,-1,630279,-1,654805,632387,201600,-1,98470,-1,-1,506931,565688,-1,-1,-1,-1,-1,649754,501479,881629,-1,-1,989478,-1,979036,815583,900825,817351,572195,-1,-1,624923,675306,-1,328421,-1,-1,848374,-1,-1,72943,-1,-1,-1,81777,512018,-1,860569,-1,867146,310126,67071,-1,514952,362772,59416,473181,-1,571990,-1,371730,119319,-1,-1,596081,707343,-1,468952,-1,712290,-1,454968,-1,708437,723903,278212,976248,110551,-1,496550,-1,-1,560073,645940,-1,558349,319220,-1,99622,-1,688068,423981,-1,556118,276080,-1,-1,679590,282388,-1,516410,385970,889042,-1,233871,-1,-1,523813,-1,-1,387972,734990,-1,-1,-1,578602,609623,-1,-1,-1,284471,-1,40655,909589,834085,-1,869270,102969,-1,448202,-1,-1,-1,-1,-1,406636,276291,806769,349768,922353,-1,368603,-1,-1,785758,-1,585676,-1,203477,265008,-1,-1,387183,-1,719822,66690,343115,-1,573871,-1,-1,750705,-1,661101,893471,135608,-1,421598,-1,-1,974667,-1,-1,900810,24638,-1,-1,213979,436780,-1,770444,597718,424416,468824,398144,929125,89643,926469,416008,-1,-1,-1,-1,-1,-1,911215,15715,-1,-1,656448,-1,-1,239801,-1,204757,-1,-1,719897,-1,116537,-1,719591,-1,895530,195419,354911,-1,366412,505731,516571,849816,851202,723933,-1,-1,-1,-1,-1,-1,-1,-1,61680,899138,-1,-1,409337,-1,64660,29446,-1,25928,-1,-1,-1,713544,889845,628286,-1,305877,406752,-1,992198,687489,-1,876429,-1,972532,662526,-1,783364,278401,-1,-1,-1,-1,659585,-1,718888,342086,-1,-1,482224,380027,258278,-1,-1,-1,7448,875331,-1,41119,-1,-1,-1,103056,415200,-1,665353,318791,-1,-1,520902,-1,-1,696442,-1,-1,-1,-1,681063,371171,807817,-1,-1,72761,91584,677087,498164,-1,208949,377176,-1,706015,223811,-1,759939,635233,-1,104584,996791,-1,143467,-1,271240,-1,17007,364383,578457,663581,-1,-1,177400,-1,-1,474672,-1,-1,-1,-1,-1,205267,853798,-1,-1,926984,-1,-1,486517,656208,340615,763775,-1,139190,-1,183238,-1,-1,-1,-1,480374,2181,208168,113438,902503,-1,713352,442082,541102,261242,782142,718087,896767,-1,2082,834351,983629,145633,800011,-1,-1,-1,-1,517452,661852,109436,-1,-1,-1,886635,-1,216106,-1,-1,-1,-1,-1,63588,122615,782955,424350,36999,261342,417750,-1,40186,-1,169659,-1,-1,-1,-1,-1,-1,-1,907165,930603,-1,760470,-1,-1,-1,207091,-1,999421,-1,375114,-1,-1,746907,632858,-1,535065,381775,15773,-1,-1,-1,-1,232508,34786,262351,174537,-1,191105,789099,-1,-1,505706,354226,748058,721205,-1,-1,-1,-1,-1,-1,776498,-1,-1,215052,-1,291140,198565,-1,-1,-1,968514,400420,449162,183977,-1,-1,545677,926181,-1,248232,-1,417429,-1,-1,-1,-1,-1,-1,-1,231188,-1,-1,-1,-1,-1,772296,-1,-1,424900,-1,819252,-1,-1,619896,-1,-1,242613,-1,481709,176630,-1,-1,-1,-1,-1,804818,966830,521514,352124,-1,338449,-1,-1,876048,142111,747978,-1,-1,-1,333566,-1,486456,-1,-1,-1,650343,620719,-1,622469,-1,622925,-1,-1,-1,-1,251670,-1,-1,-1,172645,-1,42413,-1,-1,931341,-1,836645,654843,-1,18698,545398,-1,-1,-1,-1,570964,-1,-1,679747,316131,175824,912748,432775,524093,535867,-1,-1,-1,547648,375480,-1,569402,458356,536704,44329,385920,701006,606638,34129,819855,117128,111385,222705,-1,676359,-1,637609,573886,-1,843172,138871,766914,-1,604481,293461,923181,496704,-1,640967,-1,571319,672657,597635,182405,318979,227664,-1,-1,-1,437345,949045,-1,-1,-1,-1,-1,734379,427602,656637,-1,19711,-1,862496,-1,516140,119777,734463,-1,446220,380319,-1,54299,80034,988904,329785,557337,433521,-1,4650,802787,629871,128575,-1,102663,907641,-1,68213,-1,-1,155659,753707,-1,-1,-1,-1,-1,-1,255150,-1,496561,509677,-1,917490,-1,882338,855348,532391,-1,815465,271098,-1,-1,35413,115911,86103,180977,66240,636572,-1,483264,-1,349580,-1,22379,-1,-1,-1,491614,63875,-1,573311,-1,919717,147111,794737,-1,445697,355490,888050,-1,-1,-1,-1,385307,-1,-1,-1,543115,-1,577255,110269,639747,-1,894023,755896,595150,-1,-1,508362,119251,907490,-1,-1,-1,-1,-1,381533,37986,101508,679455,653366,538917,687150,-1,759512,-1,126049,858172,499,948782,-1,675981,-1,207517,567247,440905,-1,-1,601546,-1,-1,54537,-1,-1,-1,-1,520536,-1,-1,766324,900320,312178,-1,648223,904487,-1,-1,-1,-1,20938,-1,167281,791900,176447,463192,-1,-1,320315,-1,-1,248928,301353,-1,-1,656332,-1,749224,729149,329229,52367,588110,129334,149089,-1,-1,510834,896292,-1,5545,492152,144557,347847,-1,517086,-1,-1,326520,-1,-1,-1,-1,143560,-1,774193,-1,565606,-1,589702,-1,827624,339184,713571,-1,-1,168375,977457,-1,356960,64407,-1,-1,356495,-1,-1,335405,651996,-1,-1,424856,384640,384763,475285,134977,-1,-1,214061,278217,26580,151707,-1,-1,-1,590003,-1,-1,411506,-1,182729,-1,65014,304195,-1,-1,514242,-1,970555,-1,43264,-1,-1,690646,48320,-1,713995,-1,78146,43467,956299,-1,166217,582812,-1,952607,-1,-1,555073,654851,-1,289084,-1,40336,-1,717492,465136,65201,-1,818234,149129,-1,-1,148170,-1,-1,580449,458292,-1,45992,771818,-1,-1,213099,835777,396542,-1,568622,-1,-1,766676,796768,42314,-1,-1,641752,618771,215639,-1,658776,-1,144120,-1,642405,497881,-1,749131,450351,83259,-1,-1,626752,658961,-1,813795,-1,485792,-1,504275,-1,559540,291923,830164,-1,474988,778929,336223,100630,308715,27796,264776,-1,730983,596729,747501,-1,591199,129608,-1,583050,-1,178786,-1,-1,277398,-1,-1,-1,254157,192881,-1,-1,333125,21006,-1,293891,-1,397692,440302,-1,454132,755293,-1,-1,-1,157484,-1,507892,-1,-1,-1,77688,-1,-1,740405,213464,688454,-1,727311,-1,-1,-1,707934,584805,669756,245063,-1,-1,-1,204179,-1,181264,-1,-1,-1,-1,124326,-1,-1,670160,171165,264891,-1,-1,-1,118652,-1,-1,274987,523968,-1,-1,-1,764488,-1,319060,821373,827887,-1,445374,-1,75926,-1,-1,120966,501394,834867,-1,-1,243662,407025,-1,547846,273799,600392,-1,124154,-1,-1,393380,-1,758965,-1,674197,147323,726099,-1,557749,606881,486531,761049,675105,-1,26018,-1,-1,-1,293754,12013,444875,413334,-1,620283,-1,988069,105239,703576,-1,76259,277565,51172,355532,-1,-1,820780,-1,881961,144320,-1,184995,-1,843175,160737,857520,834114,-1,-1,726894,380945,612371,892009,-1,342755,-1,-1,-1,209853,561192,347183,-1,724091,-1,550504,455605,-1,-1,655228,690561,-1,19794,-1,-1,-1,808336,839107,217891,-1,-1,-1,-1,291247,969359,228235,-1,426394,619328,-1,736956,780463,850272,-1,-1,-1,-1,661419,435965,-1,-1,-1,-1,-1,563689,11972,68551,489650,-1,-1,876034,-1,290229,370824,-1,-1,967427,-1,-1,-1,-1,-1,984242,908462,855184,454866,680299,1790,-1,703641,-1,-1,621975,435137,-1,781550,-1,414346,581442,137470,667162,-1,8731,-1,-1,702308,849156,244711,-1,-1,50688,581426,633459,-1,13425,829951,581584,-1,-1,202498,797664,-1,859532,-1,620978,-1,-1,-1,392171,-1,652817,-1,31834,-1,321842,563681,764674,272488,-1,-1,-1,251373,-1,-1,-1,-1,-1,717080,-1,89122,-1,-1,353749,-1,383912,973403,-1,-1,880599,497202,618419,-1,-1,-1,-1,-1,219552,-1,568225,47724,170286,569817,-1,-1,27222,312366,-1,-1,74400,820430,-1,-1,899820,881581,601282,991768,-1,-1,400495,956627,492521,872397,-1,-1,-1,852884,-1,454582,-1,-1,-1,-1,-1,530415,777898,485504,30479,-1,417656,-1,-1,-1,-1,269202,938957,-1,437369,360686,40241,-1,216923,-1,621730,731408,-1,717257,405422,895725,-1,120921,665303,325770,-1,228990,814144,-1,388696,-1,889158,995389,-1,270104,-1,796352,840589,691488,-1,897044,-1,-1,842084,-1,-1,817287,180888,192092,945297,761571,-1,836467,235852,965311,491283,-1,-1,468662,-1,-1,-1,76208,141913,-1,294614,541434,216534,-1,-1,264421,882903,-1,908828,-1,642300,-1,137415,176453,251579,456142,147937,121529,-1,-1,-1,739900,330699,-1,-1,394973,555330,702045,682592,646417,985066,-1,-1,332481,87598,-1,-1,70986,823876,-1,-1,943438,57664,480808,849100,-1,-1,813136,-1,-1,-1,-1,105002,-1,-1,382622,491615,-1,-1,741098,442251,-1,121193,-1,858952,-1,-1,-1,-1,309465,774884,938343,-1,996529,23287,-1,-1,270739,-1,871278,-1,-1,-1,-1,896537,-1,396958,400598,-1,178023,153280,-1,-1,481247,73854,940337,-1,551657,-1,-1,22200,94778,-1,-1,-1,-1,-1,-1,524339,521371,-1,210143,158644,479282,-1,-1,530571,34681,573776,-1,107840,-1,-1,375444,-1,-1,-1,526094,344481,-1,-1,232869,-1,422765,369685,152278,838887,754638,548900,-1,-1,753894,544614,-1,329204,338439,141878,62565,-1,388700,185834,492551,-1,75096,-1,-1,431042,-1,99673,917869,-1,-1,-1,903122,651569,-1,493849,-1,-1,-1,-1,27368,940249,59744,813682,655127,936816,-1,731292,-1,-1,-1,509371,78477,996143,-1,-1,338596,249045,-1,527409,-1,687888,-1,964067,754485,231797,321112,-1,-1,619075,-1,-1,456408,576806,317304,394589,913008,-1,287641,-1,666589,-1,4383,641970,-1,585445,419040,746323,944519,707209,-1,164765,18793,392794,-1,-1,-1,297813,-1,141848,823478,514497,-1,687488,997894,694267,36976,111117,-1,766458,-1,45749,895229,-1,417239,-1,105258,30992,-1,205416,-1,-1,-1,-1,-1,939008,-1,500558,908830,688663,828345,-1,444088,724863,-1,41388,709823,-1,234659,-1,811299,-1,461759,-1,-1,-1,-1,-1,-1,885672,123596,-1,308126,-1,873775,449506,36040,574959,-1,-1,-1,-1,-1,-1,-1,192359,-1,931745,-1,585199,-1,-1,989336,-1,209505,-1,-1,-1,-1,541756,409549,-1,468773,416306,-1,-1,168338,-1,-1,-1,967176,-1,914844,870474,-1,-1,-1,586646,925372,765449,546674,-1,-1,-1,545155,766068,144186,-1,-1,355016,-1,812549,437955,518138,-1,-1,-1,212358,299701,248948,-1,984961,-1,673196,-1,542195,119868,86366,690433,-1,977445,-1,-1,24061,-1,706913,579242,-1,-1,818913,65474,995967,-1,-1,146886,-1,-1,158982,-1,-1,11309,-1,332201,-1,55949,141970,258943,171098,-1,693712,134743,-1,625060,573820,714487,208469,-1,-1,-1,698616,104823,-1,-1,437021,525543,516705,-1,564922,-1,-1,424998,282491,-1,-1,795455,-1,-1,534664,148098,-1,642758,419768,-1,80394,552645,25637,156408,-1,285064,-1,-1,814503,620652,490834,680859,-1,699314,306093,389938,-1,498227,84479,-1,61066,649591,-1,-1,14518,617032,-1,726861,87760,512774,-1,173309,349178,-1,-1,446348,-1,503156,209053,619722,431768,-1,488336,-1,512199,883250,-1,-1,424399,948628,654898,684511,-1,148707,559119,-1,-1,294999,-1,-1,909897,-1,-1,-1,-1,-1,-1,634575,573907,212989,-1,924226,196239,-1,-1,376074,336275,273461,999680,743955,662544,-1,699719,833162,-1,-1,-1,-1,-1,-1,-1,-1,805332,-1,305658,-1,-1,469886,125763,-1,730686,-1,-1,-1,-1,921631,-1,977257,-1,757064,89979,-1,-1,10928,-1,-1,197530,-1,-1,-1,-1,885470,-1,5351,285533,-1,369217,-1,-1,-1,-1,23631,147717,353644,-1,-1,-1,-1,-1,915178,642936,-1,709932,296523,440907,-1,517966,-1,536476,397092,-1,-1,82652,-1,-1,-1,-1,68946,509867,-1,-1,-1,-1,594602,-1,-1,-1,-1,-1,-1,-1,688623,-1,34188,-1,577686,-1,-1,-1,-1,-1,956291,-1,462867,418864,677568,518517,-1,-1,602578,-1,923966,-1,204024,85564,593948,422248,-1,-1,891777,247973,-1,-1,413941,944740,-1,-1,710245,739674,199623,496438,284976,676943,-1,-1,-1,-1,-1,803888,190702,810040,785924,-1,-1,950574,-1,-1,-1,-1,703791,-1,902239,760022,679256,-1,587244,-1,336782,234315,-1,124223,96015,618256,54912,440545,-1,-1,-1,-1,-1,577799,714658,865879,325014,-1,-1,-1,-1,415849,-1,314622,-1,471943,628749,-1,96392,-1,-1,-1,-1,-1,200275,-1,-1,-1,-1,-1,878259,-1,-1,-1,620890,84983,882272,-1,-1,-1,844065,460063,192003,-1,203906,-1,-1,679185,-1,-1,598485,-1,-1,736780,461217,-1,-1,-1,-1,383140,844012,-1,335057,-1,-1,-1,-1,206236,-1,-1,770508,-1,-1,-1,-1,-1,802194,-1,-1,292299,975510,585144,418995,194704,715484,-1,-1,681333,-1,-1,-1,872251,31493,-1,863502,69409,671655,218957,920920,-1,818317,-1,696494,208212,-1,-1,-1,-1,122802,738952,867841,-1,-1,-1,537741,642083,-1,230812,-1,-1,-1,-1,19168,338680,58658,821369,-1,-1,869362,534857,-1,473239,336541,-1,-1,-1,853457,134630,865710,-1,567485,353848,186878,932064,-1,570584,-1,-1,500218,493970,-1,258035,-1,637833,121143,-1,-1,-1,-1,223157,-1,-1,470416,-1,-1,611986,-1,134921,-1,904628,12388,583388,99534,-1,39620,-1,94391,-1,-1,-1,385610,-1,574476,-1,-1,-1,-1,606185,-1,-1,-1,639620,502640,-1,19920,-1,-1,-1,26722,63510,276193,-1,368358,-1,-1,-1,998069,-1,-1,67654,76911,287764,-1,175173,198951,913359,974878,208823,118201,280377,-1,-1,-1,-1,-1,-1,-1,-1,527020,551202,-1,661005,254484,-1,-1,466893,-1,401941,-1,695998,234684,-1,658369,996897,-1,-1,-1,-1,-1,-1,-1,-1,255161,-1,-1,-1,926812,-1,801360,21412,597394,-1,-1,-1,-1,158571,-1,543632,108171,912080,-1,302569,701120,910320,300092,332626,-1,-1,-1,-1,-1,911875,243253,-1,-1,-1,-1,-1,-1,-1,-1,893705,498039,-1,425508,439835,782328,372587,-1,-1,29868,-1,868770,-1,458000,844182,279035,472205,-1,-1,421205,-1,501999,681547,-1,948455,355357,-1,199411,-1,629504,489824,-1,-1,-1,768054,23728,-1,949991,583116,776511,151803,-1,-1,958628,-1,-1,-1,291114,734070,568222,986995,-1,-1,953529,221424,838728,187925,-1,200947,-1,-1,732960,536120,988086,617378,-1,336509,917925,-1,93585,821500,604213,-1,645253,640747,446711,-1,-1,825874,652547,-1,206810,-1,-1,344982,405546,-1,-1,355963,-1,293288,-1,140749,-1,665049,79863,-1,-1,-1,-1,-1,187945,-1,30982,734342,233646,610437,255552,-1,-1,445288,57181,-1,-1,377556,-1,519264,974877,656548,930727,128439,733981,32337,440204,804180,-1,-1,-1,-1,962583,871478,271454,-1,-1,438233,235674,-1,-1,656044,642838,691423,-1,-1,-1,-1,-1,304718,927912,207204,-1,520005,353530,-1,695399,-1,633967,130719,-1,-1,685532,29922,416167,426801,597146,796734,-1,-1,303118,-1,609423,302763,-1,661889,-1,-1,-1,-1,-1,-1,-1,999445,995616,-1,545612,506792,200930,-1,-1,-1,507732,360071,-1,-1,-1,-1,670652,-1,-1,779652,685579,651836,10390,-1,-1,-1,-1,660560,927346,650886,-1,351652,-1,-1,861567,511268,-1,911011,907643,442613,742994,-1,-1,-1,-1,65365,345851,-1,-1,-1,-1,854722,726130,-1,894312,573913,-1,128405,-1,725418,-1,-1,874970,-1,278325,-1,-1,-1,85969,-1,600648,282753,793072,-1,-1,-1,12295,-1,-1,-1,-1,71725,-1,960176,653719,144499,-1,574876,-1,297092,-1,-1,-1,804192,537491,-1,935077,465032,-1,-1,334176,914812,-1,432654,-1,-1,-1,571228,343898,-1,596441,-1,585647,-1,-1,879905,-1,-1,-1,570405,468499,-1,501032,565990,-1,-1,900936,191568,865527,-1,-1,-1,-1,694891,-1,334506,-1,-1,25819,262744,-1,278438,107055,-1,156866,-1,543698,-1,199124,687911,582951,780114,755715,143912,66632,-1,-1,483694,936197,63542,648692,-1,-1,-1,-1,-1,-1,49746,604976,-1,43942,764287,-1,-1,-1,-1,-1,-1,134574,551468,-1,964644,626078,-1,-1,-1,-1,122654,-1,-1,551973,997425,162723,930666,198816,4231,-1,24435,278248,971463,101504,450491,45968,158374,305719,83026,650552,-1,62136,-1,511397,427658,-1,505799,-1,845911,809899,-1,570346,454593,-1,269770,-1,-1,-1,-1,370987,793887,-1,-1,224908,569618,-1,-1,681249,-1,137025,-1,994355,-1,465440,858025,604383,-1,282167,-1,191269,-1,41405,704141,-1,-1,242531,-1,680890,-1,672594,786486,509599,562015,974484,26654,660062,501125,211177,-1,-1,-1,503445,732638,-1,736878,-1,204299,-1,-1,99233,-1,-1,-1,-1,-1,539127,780694,83120,5303,-1,-1,388430,808603,-1,852407,-1,672168,-1,-1,891473,-1,-1,782871,760384,145079,896500,-1,-1,8973,437797,-1,-1,19291,448481,493341,-1,-1,-1,128445,650430,335692,-1,35645,-1,169432,-1,-1,269663,-1,861771,-1,425226,-1,910154,547675,-1,-1,-1,323601,444099,859132,-1,-1,-1,200298,-1,-1,-1,-1,362537,893639,912916,-1,-1,379473,-1,-1,68031,-1,-1,-1,934571,738854,-1,-1,-1,-1,-1,-1,853032,81396,782948,999136,-1,393350,-1,276651,-1,-1,-1,-1,-1,264759,-1,-1,646965,-1,-1,223011,-1,602836,-1,241539,321155,-1,784204,-1,964024,-1,714046,-1,-1,-1,260958,73710,-1,519303,-1,-1,750987,703032,592561,278998,-1,453058,-1,-1,482882,4647,-1,987328,-1,-1,-1,894134,368683,223203,622034,-1,623218,440932,332267,-1,-1,549107,-1,37202,644710,306624,359006,614863,-1,315775,-1,545411,429900,769627,-1,853979,-1,-1,185577,-1,977028,499853,822528,941926,-1,-1,469163,82329,805463,-1,-1,499840,-1,-1,-1,281218,-1,397308,-1,763605,66269,-1,760847,130887,930672,-1,946777,629475,236402,-1,328347,-1,-1,980088,15012,-1,-1,143639,-1,-1,-1,841105,-1,-1,820286,-1,-1,254292,-1,249650,-1,-1,719474,908478,596721,-1,314531,273682,-1,-1,-1,237249,168895,623396,-1,-1,656357,960431,940501,-1,307923,-1,896436,-1,-1,-1,-1,12059,-1,788872,-1,493665,-1,824506,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,431927,-1,610243,-1,-1,433535,-1,-1,-1,961081,325134,673625,634198,-1,-1,-1,-1,-1,-1,761327,-1,-1,65858,542014,390906,-1,-1,584881,-1,-1,-1,865547,-1,423217,-1,672632,-1,642532,394453,-1,-1,943398,621957,-1,650297,-1,-1,818274,782152,617164,435497,-1,-1,140373,216570,631996,417756,-1,498105,504386,255841,383509,397687,-1,-1,-1,498469,479683,330410,-1,-1,890575,-1,-1,-1,-1,434116,916074,-1,336800,-1,527280,208311,-1,296312,787152,-1,597689,219272,-1,271797,-1,607209,-1,216850,46060,178004,-1,-1,-1,-1,-1,617358,376633,652533,13172,3197,-1,413938,-1,-1,-1,-1,978720,-1,-1,-1,341415,877508,-1,345846,-1,188298,-1,-1,-1,-1,-1,287536,-1,-1,473974,-1,-1,-1,-1,-1,-1,817871,-1,-1,23908,-1,446773,-1,-1,363435,135340,872648,504420,-1,-1,-1,-1,-1,7867,715870,992498,739708,52023,-1,559704,366729,490521,457057,-1,-1,-1,439925,-1,221985,-1,-1,465495,-1,-1,-1,121540,282356,722758,3549,527148,519460,-1,9673,585422,-1,-1,504524,-1,-1,436784,249856,440871,855772,-1,-1,-1,-1,176068,639953,-1,616929,-1,75805,-1,658149,-1,577018,132277,116502,-1,148044,82523,-1,-1,-1,-1,-1,-1,-1,-1,349279,-1,735405,-1,-1,835423,691614,-1,90827,-1,747263,541767,548007,-1,959071,862194,860250,-1,-1,983857,83335,48243,-1,-1,998131,831319,-1,535721,-1,122893,229764,-1,609849,-1,-1,-1,42775,831935,707797,120454,972902,33803,-1,250197,997842,-1,-1,493296,-1,-1,540406,-1,-1,596146,417691,-1,876316,-1,-1,345310,828404,597710,268666,330468,178517,579661,63581,593577,-1,734424,-1,355778,263898,-1,224151,57975,-1,-1,584969,244369,-1,340605,-1,-1,-1,161034,691600,-1,110457,278921,-1,73741,-1,568458,-1,-1,434220,271805,469392,147326,-1,-1,650316,757854,-1,-1,151512,542354,905656,431584,-1,-1,-1,948212,-1,-1,262583,-1,797797,-1,333078,968755,-1,-1,-1,919444,946007,-1,-1,232921,982315,-1,858462,612023,-1,-1,435161,-1,-1,-1,-1,150789,-1,-1,-1,-1,-1,-1,-1,-1,-1,897026,428930,564409,-1,-1,-1,-1,725209,364958,614621,-1,120137,180488,296125,-1,-1,10961,-1,-1,-1,-1,350474,55046,-1,318314,795649,-1,-1,272398,-1,-1,19513,-1,-1,816550,-1,13616,-1,-1,-1,-1,2714,-1,-1,-1,-1,-1,106313,129620,277283,-1,597888,630981,573723,-1,-1,559129,-1,-1,-1,-1,755335,-1,-1,264251,-1,934319,-1,49622,833368,592346,-1,-1,-1,-1,-1,-1,-1,436740,-1,-1,-1,-1,-1,-1,-1,353455,-1,129818,-1,659542,-1,-1,-1,57404,-1,-1,-1,686465,560915,936459,-1,754191,-1,-1,236012,-1,68301,785435,938872,-1,-1,-1,406822,54701,-1,2178,-1,59271,-1,264541,-1,192607,113670,733367,-1,123479,-1,971905,886790,-1,-1,-1,-1,-1,672934,625907,-1,-1,924834,245551,990765,-1,-1,-1,502877,-1,965300,-1,-1,695773,-1,460068,-1,660920,838664,241536,71347,-1,-1,954887,-1,981732,735212,235218,182457,-1,-1,-1,-1,-1,352885,742708,-1,485065,778685,890341,-1,484966,534049,-1,-1,502393,348189,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,441870,-1,-1,240294,837581,96077,161418,-1,740068,-1,-1,-1,14678,124612,126215,760129,7342,365868,-1,607376,535057,986047,929829,-1,-1,965712,515153,-1,-1,-1,780013,996218,-1,463704,-1,-1,618921,-1,-1,-1,-1,-1,770579,558245,320296,-1,-1,-1,19388,-1,280527,388804,-1,-1,655476,-1,939128,780226,838060,-1,-1,550520,-1,217154,427090,41789,-1,653230,-1,-1,-1,-1,157882,-1,-1,-1,-1,504507,680624,-1,-1,-1,-1,433328,-1,271246,986887,163205,317383,420295,922578,843885,-1,-1,-1,454852,609931,850984,414794,605706,166561,874853,-1,205960,974333,-1,-1,-1,-1,-1,-1,156631,939757,523952,-1,329985,-1,679172,143797,946235,461898,-1,-1,-1,540196,-1,-1,-1,586567,-1,40224,76416,991072,-1,-1,943868,-1,-1,727368,-1,996223,-1,474370,929497,-1,-1,-1,887757,67929,-1,510815,186694,-1,-1,-1,-1,-1,855839,-1,480172,-1,-1,-1,-1,916664,-1,-1,-1,-1,-1,424460,-1,-1,-1,718167,598861,-1,-1,-1,-1,516169,-1,-1,-1,-1,-1,-1,502700,-1,37851,-1,-1,918651,-1,506595,-1,279896,-1,-1,-1,656653,794112,736037,842890,456962,938013,-1,-1,640726,565912,-1,-1,-1,651177,-1,-1,-1,-1,-1,351339,-1,-1,-1,-1,745545,299956,-1,-1,-1,-1,10800,178499,426555,957224,-1,246117,329036,-1,-1,-1,-1,-1,-1,-1,-1,714993,-1,573333,297214,-1,-1,946388,-1,-1,-1,-1,329590,885117,-1,98514,563847,-1,888607,422459,949711,484411,907804,710073,631923,-1,-1,-1,272995,-1,379230,203660,-1,-1,-1,692145,340367,110596,-1,623686,-1,-1,3019,906949,417213,577646,810618,-1,-1,-1,-1,799347,-1,920182,783355,-1,253243,-1,276524,-1,158146,617904,-1,340064,-1,131009,737573,-1,834146,-1,-1,610018,-1,-1,60737,-1,249847,569549,-1,759421,-1,-1,-1,-1,-1,897583,-1,-1,-1,-1,-1,397111,9949,17127,522081,-1,610599,767821,-1,223062,635510,5062,-1,-1,-1,-1,551308,379116,-1,643632,-1,-1,-1,981438,293031,-1,524225,756736,199084,-1,536353,948627,186619,-1,-1,466718,-1,-1,-1,-1,631873,-1,5280,380986,107474,-1,801293,-1,485912,986455,593099,-1,-1,230600,375814,517509,-1,-1,-1,972120,-1,-1,650582,374534,-1,-1,747462,21908,960094,350004,970880,-1,330137,-1,725881,384994,-1,111027,360088,573855,-1,472131,-1,-1,722450,-1,146687,20497,-1,-1,-1,280856,332528,82962,474025,-1,-1,513334,562788,-1,407774,364859,-1,-1,-1,520660,370194,458220,272945,894549,157760,-1,-1,242545,-1,898682,-1,-1,69590,-1,-1,647020,776858,-1,-1,502847,677957,-1,656418,-1,-1,856031,859221,-1,507296,166023,-1,630740,-1,-1,-1,131276,483340,381711,309695,442508,-1,-1,459163,-1,-1,391010,536517,-1,757498,621199,-1,430621,-1,272563,367916,-1,-1,-1,-1,-1,-1,717468,284371,-1,600437,-1,-1,-1,-1,-1,944329,184062,-1,84690,78572,765996,-1,-1,548352,-1,172328,-1,-1,-1,-1,99564,-1,-1,322400,119902,77304,-1,-1,-1,481913,-1,-1,609594,-1,-1,-1,-1,-1,995778,-1,362356,-1,-1,-1,540310,745572,770298,363322,-1,83834,513790,-1,-1,426190,710366,-1,677172,810363,69865,-1,65865,-1,-1,-1,567193,-1,372307,-1,-1,164592,-1,753694,285892,419122,630075,-1,636321,-1,463756,126093,319559,-1,-1,-1,169880,144384,916714,307839,383766,742713,-1,194099,662862,-1,536645,224628,422985,743016,415354,-1,253333,-1,-1,815008,-1,153710,-1,669248,-1,-1,-1,-1,-1,-1,900669,-1,-1,834230,986023,545906,8044,-1,479835,-1,7725,-1,925096,559105,-1,262769,817606,-1,-1,-1,-1,232305,-1,-1,-1,422524,-1,469752,-1,-1,-1,-1,-1,-1,181709,-1,-1,888975,-1,312056,-1,-1,995267,74616,549868,221953,-1,-1,732356,430933,-1,814402,878344,-1,516856,-1,-1,575499,461055,848246,-1,629630,518049,231893,973431,-1,951176,31171,-1,582330,-1,-1,-1,-1,803347,173018,551608,278288,226555,-1,490368,309981,-1,-1,-1,611531,976551,-1,-1,246028,167949,-1,-1,-1,164918,931206,852512,-1,-1,-1,868361,641540,957468,-1,-1,-1,266705,66078,-1,-1,268004,406792,-1,-1,186110,977434,-1,451721,478249,858122,809691,-1,411948,-1,692026,766613,552176,988858,-1,108318,415089,-1,-1,578778,578746,364700,132298,139612,-1,763048,606646,-1,960367,81141,-1,977179,628844,520519,840819,-1,-1,-1,910628,-1,-1,-1,727508,-1,355331,226972,311935,-1,-1,814973,-1,-1,-1,345887,-1,92785,540919,371792,-1,-1,-1,492068,-1,263893,-1,-1,251945,849866,210571,397156,-1,238919,-1,-1,546196,4952,-1,-1,576447,-1,-1,429529,-1,-1,-1,-1,989244,269109,-1,-1,634188,-1,992382,884507,727524,605729,-1,234054,-1,721184,-1,-1,-1,-1,-1,274545,-1,-1,715482,-1,-1,-1,90514,-1,-1,-1,93783,514873,854176,-1,-1,-1,351068,-1,-1,-1,-1,451083,606747,71420,434573,-1,561828,-1,-1,-1,964683,863564,994245,428492,-1,975500,333292,-1,994570,560418,-1,212155,-1,-1,-1,342922,666412,-1,769648,286230,619943,152623,690946,-1,-1,-1,-1,-1,-1,-1,-1,-1,132833,962251,344618,-1,-1,514824,974203,710168,177853,-1,956497,-1,-1,-1,-1,-1,37643,991335,162045,-1,32846,-1,-1,951147,849698,-1,-1,207758,-1,802024,560933,88050,404802,525749,672923,531787,554414,-1,-1,804676,-1,-1,-1,883384,3902,393490,320254,481216,910943,931053,-1,9384,32459,-1,610621,-1,202232,862977,-1,-1,-1,-1,159710,-1,816989,222506,606090,234496,508682,-1,118424,757161,926019,334158,486057,69638,-1,214692,693448,-1,-1,-1,675877,195628,-1,-1,-1,-1,494501,805722,353861,869044,-1,126281,-1,383390,-1,671840,-1,83972,472487,-1,-1,-1,461262,872309,462175,-1,759929,176042,-1,-1,177094,-1,-1,909214,155620,-1,-1,808543,22974,349860,149117,-1,-1,245374,812977,347332,-1,125138,332089,764043,692421,706039,327277,-1,335560,531131,832197,215989,62493,570201,621203,-1,693105,-1,-1,-1,-1,951466,736095,-1,516419,349935,966000,-1,-1,111981,-1,84259,256901,892615,56678,-1,-1,785567,514979,323868,-1,82319,323539,-1,660416,-1,179537,521384,177278,562909,-1,897678,-1,-1,-1,601844,-1,-1,-1,845575,-1,447767,-1,750130,-1,-1,561268,873286,823371,847373,-1,332600,-1,824594,442590,-1,678887,575639,869766,-1,-1,-1,-1,-1,636905,955018,14430,-1,901350,-1,-1,-1,-1,724165,-1,950758,608806,-1,755575,375630,171797,850096,646333,-1,-1,-1,-1,905784,571738,764382,822444,915194,-1,-1,-1,-1,90692,95015,-1,722487,-1,805443,45247,946565,-1,839948,934013,-1,315882,-1,-1,-1,-1,-1,-1,-1,95479,-1,-1,407748,35840,-1,-1,-1,-1,374596,93092,466218,113779,552279,490045,-1,716972,-1,-1,380751,300618,-1,459213,106349,-1,125754,473367,252882,882383,-1,879848,863020,-1,-1,-1,-1,-1,-1,889779,-1,-1,183799,761460,71284,-1,312618,282659,129989,-1,-1,-1,-1,797863,-1,222595,-1,749550,-1,-1,500450,-1,-1,-1,-1,-1,-1,214059,499957,348776,809697,-1,50284,-1,24249,241353,496167,-1,285708,898288,651658,-1,959594,28658,-1,-1,894361,-1,657256,210371,555222,336454,-1,-1,-1,-1,470311,926072,957223,804391,347856,503221,-1,321312,866680,475149,286852,100284,-1,760463,781318,924979,-1,927772,-1,-1,-1,47238,-1,-1,-1,284162,-1,-1,-1,52879,904931,53254,932417,59103,-1,-1,266521,686672,-1,-1,-1,376999,-1,-1,154763,28901,924839,471787,-1,471237,745296,909681,179024,37695,853545,-1,-1,619981,171008,638518,735900,216861,-1,-1,-1,227212,8355,-1,-1,709067,-1,999423,-1,388094,330811,275814,52505,-1,-1,846921,-1,-1,510859,484870,-1,583673,-1,855758,-1,308384,-1,-1,-1,869162,-1,187130,-1,828094,-1,321163,762914,-1,958090,718676,115689,-1,-1,-1,-1,121403,-1,-1,-1,-1,-1,5314,-1,630718,589803,-1,-1,131312,27320,-1,-1,-1,-1,533765,-1,-1,198188,-1,-1,491406,373664,-1,-1,447028,-1,475184,149717,305001,264159,285761,719147,-1,-1,-1,554776,640451,396358,-1,253026,106193,429142,-1,-1,-1,-1,-1,-1,608676,618296,444886,-1,-1,977845,-1,570105,-1,-1,488127,184648,-1,-1,497366,264144,689748,786693,-1,18854,623061,555177,-1,-1,-1,445050,805140,-1,785540,217106,-1,507826,673988,-1,-1,518728,-1,-1,-1,87556,-1,923253,-1,-1,-1,191404,984585,556021,55425,-1,603316,966823,54213,513044,-1,-1,-1,115284,494979,-1,-1,-1,-1,605008,-1,505558,-1,393739,816409,-1,-1,761371,985460,-1,88970,462328,745671,471307,118700,-1,589745,-1,876591,-1,-1,833435,-1,628184,-1,-1,38738,-1,-1,-1,183666,-1,189443,616640,736587,-1,-1,412043,-1,925546,-1,-1,455317,-1,-1,42206,-1,740005,-1,-1,-1,-1,759226,742650,894630,-1,405281,199597,343974,-1,331890,429043,373685,-1,-1,-1,831349,257375,894961,784308,904687,578537,35144,125384,-1,-1,-1,5175,-1,-1,204516,-1,299407,748952,-1,-1,808458,-1,-1,-1,462268,209703,-1,372635,411819,261760,502372,-1,-1,824113,-1,-1,27793,-1,778946,-1,79920,-1,195468,-1,-1,908378,739881,-1,970006,363127,29662,366928,576336,902563,-1,712683,-1,590729,-1,644464,-1,134263,592786,-1,147633,392468,-1,-1,-1,262306,-1,150377,331723,223281,-1,-1,162464,618809,-1,-1,-1,45646,84624,-1,622507,-1,725560,-1,-1,-1,235254,948053,-1,350861,-1,-1,305200,-1,-1,141239,950904,-1,115502,-1,-1,-1,-1,-1,204455,385263,-1,42005,571697,881257,924231,281460,110993,334386,858806,-1,193775,453651,135450,680762,787988,-1,-1,-1,-1,-1,-1,838135,18623,427156,808774,-1,-1,-1,-1,-1,948414,-1,-1,-1,-1,228269,57454,-1,-1,591078,-1,-1,-1,-1,-1,89747,448893,270276,-1,361452,-1,-1,317431,203825,948445,839983,-1,-1,604386,-1,-1,-1,347882,665001,-1,564481,-1,-1,525444,-1,-1,933958,959463,-1,-1,-1,598069,-1,-1,-1,-1,756575,-1,644969,988622,607629,-1,543438,817001,924711,839045,-1,195746,860164,980253,145032,362072,-1,731714,-1,-1,451690,-1,428010,-1,-1,791292,-1,-1,516613,-1,505976,-1,-1,-1,642074,426661,-1,76582,-1,105802,130543,-1,101057,-1,-1,-1,294052,939891,174232,-1,457756,651103,602483,-1,-1,856438,660059,-1,-1,-1,965596,393817,-1,-1,-1,-1,459078,-1,102455,-1,-1,249218,484927,620775,-1,803999,92860,607164,-1,727447,-1,-1,-1,2134,535902,-1,695587,971521,-1,257400,510660,-1,494770,713971,526595,-1,463547,271013,-1,-1,-1,195437,614178,-1,-1,345054,381268,39825,-1,544957,355201,-1,686248,314273,-1,-1,674348,-1,-1,-1,-1,254215,763483,-1,561148,393322,952685,241290,-1,-1,406233,59624,147172,-1,36271,-1,247853,-1,36853,952279,-1,470860,-1,-1,-1,914817,-1,90607,306341,282270,946145,-1,-1,283879,440567,655981,-1,-1,-1,-1,-1,-1,547188,-1,-1,723279,190205,503654,-1,969192,269519,-1,-1,427108,-1,466732,621313,-1,-1,-1,729644,411266,321780,452496,426923,-1,-1,770282,-1,340325,-1,-1,141383,-1,789386,419866,-1,-1,406316,-1,4495,229875,-1,-1,-1,-1,320371,376426,724153,410148,932635,-1,-1,429092,-1,-1,-1,-1,-1,972913,48453,526389,128804,-1,-1,-1,-1,609598,-1,-1,-1,747860,-1,587254,232357,-1,-1,741181,-1,870792,-1,-1,-1,-1,178558,32334,-1,525416,825891,-1,-1,375316,398261,-1,672380,-1,-1,-1,-1,-1,43587,884852,59658,638933,-1,-1,-1,812940,678957,-1,-1,-1,-1,-1,844402,290276,923044,545410,686883,68390,-1,-1,285040,-1,-1,-1,-1,597051,-1,-1,-1,960844,761310,87935,653849,-1,848413,601810,840609,-1,-1,-1,-1,-1,843019,-1,552828,-1,-1,336735,-1,-1,-1,5090,540367,-1,834598,159495,922594,-1,-1,-1,192304,533336,826036,671971,-1,270567,24803,-1,858256,273063,589367,930498,-1,585677,-1,-1,-1,809846,977985,-1,-1,-1,829974,486581,309603,-1,-1,-1,-1,288336,944744,-1,-1,757650,642642,-1,466211,-1,-1,457420,-1,479492,-1,-1,728345,369576,64713,517051,320240,138139,-1,-1,556402,581343,662523,-1,560802,-1,371360,989353,-1,-1,651705,-1,823483,58066,-1,293438,-1,-1,-1,310229,306092,120284,702598,-1,-1,748096,781349,-1,978995,-1,236489,905824,-1,-1,-1,-1,-1,932821,-1,-1,-1,-1,-1,665019,672024,-1,-1,866330,-1,-1,-1,314915,47954,366390,-1,-1,-1,-1,604232,-1,-1,287903,358893,-1,-1,-1,-1,-1,-1,293395,-1,-1,-1,585732,645571,-1,972328,-1,708704,-1,-1,667932,-1,-1,-1,-1,709192,-1,43590,570775,255304,437519,-1,50335,931972,125483,-1,667302,315201,755831,-1,-1,-1,207449,948059,342258,529447,-1,-1,817945,675340,934263,543997,871539,811079,-1,645696,-1,-1,-1,-1,-1,616078,-1,540275,976982,367785,682858,951486,505798,-1,200077,137229,-1,437041,338312,686600,249646,646963,895727,191691,-1,547251,645227,369011,-1,705694,684441,482922,-1,-1,-1,-1,-1,727547,-1,749381,617002,56912,485458,188316,814788,563292,-1,-1,-1,896133,-1,-1,-1,263002,-1,433151,-1,-1,-1,-1,636227,164254,434802,-1,463128,-1,146969,305864,769077,-1,897084,-1,194580,-1,-1,-1,-1,964646,577247,-1,619230,247727,808345,-1,-1,-1,466997,-1,-1,-1,482199,-1,-1,712750,-1,-1,-1,286376,793119,63712,-1,-1,-1,-1,-1,-1,-1,575082,379460,-1,-1,-1,809479,787435,-1,736098,503190,24379,-1,234429,-1,-1,4381,734906,-1,-1,846201,-1,469491,-1,-1,945952,623502,913710,-1,505435,-1,-1,69807,380958,629730,247981,-1,-1,405564,-1,-1,-1,-1,-1,346357,225505,-1,73426,447678,-1,-1,-1,249551,-1,-1,-1,-1,-1,-1,619054,-1,970647,-1,-1,760250,238059,-1,-1,-1,859712,776884,-1,734177,-1,393502,-1,582533,983932,951937,-1,-1,736560,-1,425786,-1,736752,-1,-1,-1,565679,-1,-1,-1,406972,274819,-1,-1,-1,833356,410074,-1,-1,-1,977998,-1,169004,-1,-1,784853,598150,-1,48897,915296,705689,323152,-1,582527,133718,12834,225939,-1,-1,-1,-1,676279,877548,-1,-1,-1,689810,34325,354919,108461,-1,-1,420713,73177,-1,107804,-1,-1,-1,-1,-1,903160,-1,33815,562406,581197,-1,-1,266899,-1,-1,-1,487566,360438,-1,-1,934353,798397,380879,-1,-1,3818,-1,-1,-1,-1,234899,-1,108771,719350,-1,636307,843208,-1,16052,39469,762580,65809,-1,-1,-1,482000,171659,183060,999426,-1,272668,650800,-1,721620,-1,18504,898189,485518,762409,-1,499422,428901,759694,966414,-1,-1,-1,583579,-1,-1,396932,118361,761083,-1,-1,485041,838706,623755,373875,742874,-1,56342,819293,-1,-1,541864,948895,385476,242785,-1,937963,-1,-1,674802,-1,-1,333508,-1,475522,-1,-1,114645,290847,-1,-1,198329,-1,-1,216910,-1,148463,712322,188701,-1,-1,302913,-1,-1,127244,664264,73803,-1,253685,-1,-1,-1,940422,876730,-1,-1,-1,743184,-1,634213,599341,-1,579032,492814,50291,370161,169494,-1,-1,970970,132407,258270,-1,-1,-1,-1,974362,637852,977580,-1,-1,857945,-1,247923,-1,-1,827056,302996,-1,149669,-1,-1,332034,-1,-1,-1,-1,25574,-1,415467,-1,706858,416371,959340,962458,-1,-1,-1,524647,219958,728796,-1,-1,826724,-1,341030,-1,-1,404225,-1,-1,541377,469482,-1,-1,592872,616578,-1,519090,386037,872820,658533,392315,-1,751009,377408,-1,-1,429412,-1,789636,182288,533239,45985,-1,263756,-1,181991,-1,-1,378893,-1,995007,-1,-1,581654,-1,369737,870042,112469,-1,458647,859024,-1,-1,679330,-1,228546,76976,386780,-1,571622,-1,21887,-1,527518,919718,112404,686505,-1,629633,747630,180247,628149,-1,-1,256814,317344,-1,551233,191186,-1,539915,-1,-1,-1,-1,231929,-1,277860,-1,634677,-1,928585,523517,453055,58575,92967,-1,-1,603170,-1,-1,555471,335902,-1,-1,460138,-1,-1,-1,-1,-1,104777,690337,-1,940466,-1,-1,-1,-1,-1,-1,467319,414697,44229,715276,349813,97125,-1,341551,-1,-1,852540,587678,7925,462431,-1,-1,100040,502306,-1,548495,-1,-1,148939,-1,634274,89447,258294,272139,-1,433240,-1,-1,-1,-1,45220,827763,906630,458047,-1,-1,-1,-1,-1,-1,-1,-1,447551,690054,419194,-1,-1,-1,462545,663347,-1,594041,-1,-1,841882,677374,177237,663651,996410,-1,-1,-1,509719,17144,528744,117283,874083,-1,-1,336188,-1,663928,-1,350826,-1,773947,-1,-1,625230,-1,-1,622690,86161,-1,379138,-1,-1,609596,458554,-1,-1,456896,296063,-1,-1,616102,314699,-1,707094,-1,742586,743152,225825,-1,8182,-1,-1,16151,54310,500143,499379,-1,762252,408217,-1,538811,-1,520201,-1,956131,761355,42291,980681,-1,-1,-1,-1,-1,-1,375520,300135,874574,-1,482871,253679,-1,-1,178140,-1,144636,-1,-1,976655,-1,109989,415095,716374,279118,997222,618758,388572,-1,-1,-1,266773,-1,-1,-1,474429,150716,-1,-1,722408,-1,861204,-1,556868,-1,-1,770736,-1,796646,23544,117302,381356,-1,-1,970265,219055,402997,-1,-1,830918,488881,385172,-1,394421,-1,951988,-1,-1,-1,-1,-1,-1,658033,150392,951453,900864,328482,-1,504335,235050,-1,-1,184528,-1,320754,636427,504419,-1,72919,416740,-1,538841,222843,-1,-1,723999,812206,-1,-1,-1,668725,829213,85916,-1,697006,-1,112663,594369,-1,902597,874627,869865,-1,297679,-1,-1,270718,267647,-1,-1,-1,-1,772782,-1,-1,323704,-1,277455,-1,374773,-1,-1,-1,-1,-1,-1,-1,-1,625890,488181,-1,-1,949392,86100,233882,431534,340525,635792,732820,485566,-1,230049,-1,727528,280621,127034,-1,-1,557453,-1,-1,-1,-1,504378,773999,907752,107806,-1,-1,-1,820034,478901,-1,-1,-1,930709,754303,535236,-1,101013,-1,259839,-1,81677,-1,933117,637675,36795,843718,-1,26978,788955,558440,621461,-1,451160,-1,-1,-1,881933,-1,-1,635601,301442,724655,-1,-1,-1,661797,-1,117591,995066,-1,-1,-1,201986,-1,-1,-1,-1,-1,-1,223459,709166,-1,417670,660530,-1,-1,83435,712850,354345,-1,227648,965006,-1,345244,623719,823206,-1,847503,-1,-1,-1,-1,497715,268766,494714,700569,-1,876874,-1,894132,-1,949830,-1,386738,-1,798923,-1,-1,-1,-1,-1,-1,789815,673979,26469,-1,57562,-1,-1,503366,262661,936512,539110,-1,892717,306406,-1,984229,-1,108300,480359,-1,769789,492178,21067,424689,443704,-1,44328,853617,557869,772423,93565,455581,-1,-1,383305,199714,935951,219168,-1,-1,459043,-1,62706,-1,-1,227483,-1,653324,-1,-1,349833,-1,-1,157313,-1,257340,49723,-1,688506,994758,656510,282157,-1,491550,-1,-1,723618,956582,-1,266594,-1,635389,-1,711023,-1,-1,670619,744764,748244,884822,336356,955274,-1,-1,-1,617701,-1,209747,751562,-1,-1,-1,909930,518520,900915,-1,67765,832488,802133,-1,-1,696813,703773,40925,-1,885246,872855,-1,953299,762831,-1,286659,708978,-1,-1,-1,-1,543443,132995,-1,-1,705708,179754,-1,-1,-1,912155,-1,890825,-1,918104,-1,563981,135456,97412,63048,830526,991883,-1,-1,190213,-1,940390,991453,-1,-1,290050,-1,882069,-1,-1,953704,-1,-1,939254,683786,-1,382950,-1,-1,-1,-1,-1,-1,-1,-1,635606,454258,-1,474227,-1,-1,423646,-1,-1,371806,-1,-1,593933,-1,-1,-1,-1,-1,282935,-1,589209,859847,465317,-1,-1,980082,149516,-1,483681,365159,387689,-1,839840,183071,859433,568792,315553,-1,-1,-1,418603,-1,-1,701017,-1,-1,92704,-1,301834,-1,-1,-1,-1,783802,710303,921254,-1,894004,780852,-1,797041,-1,33187,-1,-1,576171,70386,326014,-1,-1,938986,174805,338887,980462,-1,682954,707359,19802,429292,310572,-1,-1,-1,-1,-1,-1,613160,-1,234441,-1,324891,95709,-1,916119,148675,745909,634010,652578,-1,337913,-1,-1,590923,203785,-1,-1,798159,-1,-1,-1,-1,579266,297113,-1,-1,-1,-1,454840,955359,279079,22683,-1,220480,265797,30371,-1,637832,-1,862762,364784,-1,11820,422402,-1,-1,-1,550290,88947,-1,-1,891314,-1,362913,730444,157801,91976,-1,-1,-1,56160,-1,-1,293321,949872,-1,-1,-1,-1,-1,-1,171040,480684,791477,595390,-1,-1,896252,955607,94967,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,300501,-1,-1,-1,-1,-1,-1,571099,331998,153301,526484,-1,-1,762989,280573,527192,-1,699494,987224,-1,961936,439821,737517,304530,116964,-1,-1,356874,-1,-1,379571,746341,88604,394593,-1,929048,78582,-1,-1,-1,-1,34541,235806,351390,-1,560966,198343,205340,822499,891840,787983,-1,99966,-1,-1,-1,447301,-1,913724,-1,-1,91881,62547,-1,-1,86303,-1,-1,-1,847281,-1,-1,-1,-1,-1,-1,-1,67486,703427,-1,936534,730986,-1,744746,883847,946686,377534,-1,141101,-1,-1,653136,-1,165290,193436,-1,-1,92411,-1,-1,-1,-1,182563,-1,154843,-1,-1,-1,-1,905137,-1,-1,566894,-1,619300,845240,-1,839343,-1,-1,-1,-1,471905,-1,-1,-1,-1,469082,256176,-1,176558,-1,489550,-1,34199,637510,797966,472390,-1,999439,-1,537828,-1,-1,-1,-1,-1,966538,-1,-1,-1,534658,-1,88531,-1,202762,-1,75196,345862,-1,-1,826373,711452,672336,-1,-1,662971,-1,-1,694482,224853,-1,-1,-1,567452,-1,-1,776165,735347,-1,952310,-1,-1,564288,441010,915911,822470,62403,-1,-1,-1,245296,-1,493369,706988,491879,410848,-1,349904,629296,-1,-1,-1,-1,-1,-1,-1,-1,373739,455426,-1,-1,-1,-1,617808,663937,572462,-1,884446,-1,-1,588938,71838,15974,-1,-1,-1,-1,-1,268736,28795,963839,360188,952078,-1,892494,-1,668042,189298,-1,-1,-1,-1,-1,412706,-1,995318,449900,-1,833395,-1,-1,-1,-1,-1,954344,516405,-1,-1,374602,633004,-1,90935,-1,981710,693058,598677,789959,-1,418147,-1,-1,-1,-1,113359,356763,357426,-1,96853,209459,-1,897363,621181,-1,363208,997827,313746,803704,-1,759348,70258,311290,-1,150518,578441,477854,-1,606984,-1,629539,-1,44325,-1,-1,694271,633621,-1,639922,-1,-1,-1,-1,961558,398788,427529,-1,-1,711178,186622,-1,796533,393410,675375,164776,926892,-1,935759,648241,49581,-1,-1,361137,550129,-1,605043,797166,966651,-1,-1,-1,-1,-1,-1,-1,568046,68664,-1,-1,-1,-1,616032,-1,-1,77845,648539,-1,-1,23547,649686,-1,976350,-1,206844,723065,874388,160680,-1,426196,506214,160263,113830,-1,-1,-1,-1,25341,-1,211648,902487,-1,839088,-1,-1,150813,532768,43975,-1,123225,860819,-1,-1,-1,-1,-1,-1,525121,-1,864647,483529,731461,-1,682874,350267,-1,150613,-1,875852,-1,-1,860045,-1,599443,216390,688053,765888,877511,-1,-1,-1,526078,428153,571842,-1,-1,405787,986821,883048,-1,559035,586212,279794,399006,-1,576467,-1,-1,179313,917412,504229,-1,-1,926593,736236,-1,47286,130518,743050,-1,262510,368387,543897,379083,855528,-1,-1,-1,288551,-1,892880,818071,859951,130945,71666,-1,-1,-1,-1,241000,139014,-1,-1,570792,-1,67026,610794,784698,357770,383879,-1,-1,-1,-1,-1,432332,-1,645337,-1,926581,-1,531334,-1,-1,282028,686464,-1,-1,874195,49194,-1,896493,684110,-1,776122,-1,-1,57900,-1,177304,182584,450375,353102,934886,2988,377017,-1,107953,160667,17858,-1,-1,386591,-1,218749,369052,-1,-1,-1,757089,137292,200156,777765,439443,-1,406217,-1,-1,849254,942423,770377,527255,126115,658451,457820,486126,-1,994496,949061,57358,999050,181961,760535,258129,135293,-1,929261,841913,-1,-1,-1,778393,-1,345722,297713,361672,-1,-1,938771,-1,664752,-1,869392,193585,-1,-1,220933,393521,544831,995865,-1,-1,-1,932679,-1,435953,-1,427819,-1,-1,534668,470177,-1,622150,256805,661247,-1,475939,-1,509606,-1,631702,-1,914058,729310,-1,-1,949046,-1,-1,19433,470106,-1,269313,-1,23614,747345,-1,305369,-1,-1,323759,796633,-1,293110,-1,-1,989797,330092,-1,-1,522704,614797,-1,98192,-1,-1,703440,-1,922002,741661,-1,-1,856458,-1,373289,-1,-1,767298,-1,-1,-1,-1,-1,21328,-1,-1,262825,-1,8081,-1,744306,-1,-1,968646,-1,-1,322024,-1,598538,646772,21991,842791,-1,-1,14140,732837,-1,528655,-1,978442,434974,260243,-1,281160,996538,848949,-1,109254,198315,-1,-1,251991,268860,-1,-1,32628,-1,679034,996773,-1,657408,-1,807102,460006,732519,141954,-1,408881,-1,577623,94484,249953,178826,751047,-1,281721,393123,-1,-1,-1,-1,709855,-1,-1,-1,623618,781377,-1,-1,-1,-1,523882,-1,-1,-1,-1,367942,-1,-1,-1,-1,-1,613780,179103,841837,-1,718616,361133,-1,-1,724206,107848,271130,-1,639796,955391,-1,-1,-1,-1,305175,-1,50819,490327,917976,711515,531120,530798,222448,-1,-1,310119,-1,912042,559289,650942,700853,-1,-1,606485,-1,-1,59510,598326,547659,-1,-1,715408,-1,-1,-1,-1,-1,805370,-1,-1,481235,491127,294949,-1,526567,-1,-1,926434,-1,-1,-1,556591,-1,792479,60788,321472,-1,120015,-1,856840,-1,-1,-1,-1,-1,-1,-1,445186,817655,-1,-1,-1,-1,703790,94883,-1,162419,-1,563683,-1,-1,9610,-1,-1,480152,-1,58148,742337,-1,512879,835956,144492,514073,438251,596921,222413,-1,-1,592162,216363,-1,-1,-1,373019,-1,-1,403609,-1,512748,964882,-1,-1,-1,-1,909415,-1,-1,-1,-1,-1,-1,838092,544316,-1,-1,562268,-1,-1,646008,-1,444791,-1,-1,608725,455097,-1,-1,632420,-1,746836,-1,-1,789603,950140,-1,-1,-1,341406,574129,380896,-1,979360,-1,156672,-1,-1,175036,-1,-1,-1,14724,-1,791206,490780,313968,17099,-1,-1,847422,-1,-1,700382,816481,-1,-1,-1,-1,425245,-1,658252,718966,906769,-1,657238,-1,-1,157810,-1,-1,708264,781573,-1,-1,796354,-1,-1,-1,-1,-1,-1,-1,256097,-1,8522,770048,-1,40264,-1,315899,896012,934719,601349,790916,-1,912467,97255,278310,-1,-1,-1,-1,583026,228369,-1,845994,726587,-1,-1,-1,-1,742480,-1,-1,-1,565410,-1,-1,-1,299952,156142,304297,-1,475412,78621,-1,298136,-1,-1,-1,-1,540932,-1,-1,500666,36855,919404,111954,-1,562424,-1,325072,-1,-1,-1,-1,-1,581615,-1,-1,-1,-1,792029,-1,-1,-1,-1,-1,224943,-1,641883,888132,-1,547110,100486,657546,349853,-1,206546,219165,184255,-1,81390,921839,-1,98419,-1,255089,-1,-1,-1,-1,-1,800843,663200,479533,-1,-1,-1,902997,-1,308887,-1,162567,-1,-1,-1,-1,-1,-1,-1,114917,-1,-1,83351,-1,277140,-1,79678,-1,-1,459828,-1,-1,-1,-1,-1,217163,-1,360275,14643,-1,481515,-1,-1,-1,-1,633093,469033,-1,-1,-1,-1,122418,552113,-1,-1,970145,287050,-1,946820,-1,-1,-1,-1,535107,586687,381657,866314,-1,-1,-1,-1,553528,-1,-1,-1,994952,988555,265632,892021,397304,-1,-1,-1,-1,458455,-1,399240,79256,-1,994284,726947,-1,-1,542458,654120,221783,581707,-1,-1,320795,635315,-1,651588,870751,-1,131500,647078,535872,-1,11769,-1,-1,-1,-1,-1,-1,71827,363400,-1,261793,455687,-1,-1,403568,438587,-1,731445,746601,210326,-1,-1,902516,-1,384755,148102,-1,391390,-1,-1,-1,-1,637181,718685,580882,-1,164106,-1,-1,-1,-1,-1,644446,-1,-1,-1,372698,-1,-1,385371,-1,905278,-1,809945,-1,-1,-1,-1,-1,-1,547455,-1,-1,260750,198914,-1,528928,571448,-1,-1,-1,419865,477896,621947,916837,-1,-1,716953,843864,-1,940487,-1,-1,641569,813037,801300,-1,-1,-1,784502,-1,741724,-1,-1,341962,741714,-1,-1,-1,906819,800427,691641,665925,-1,-1,-1,22603,419322,-1,529659,-1,323388,178976,461900,-1,153102,766532,17069,242797,54050,904937,634724,39094,-1,900767,827833,-1,406144,678435,-1,-1,-1,-1,592587,-1,-1,-1,-1,878080,-1,-1,519849,734190,-1,-1,-1,932962,328353,-1,94067,870892,737638,-1,615673,812891,-1,811634,99862,-1,-1,688282,-1,-1,736259,34504,-1,-1,582700,892198,-1,765267,-1,-1,18610,451164,-1,-1,311127,-1,861579,-1,820594,890101,-1,-1,-1,83448,-1,-1,-1,-1,430508,-1,-1,590922,124272,435043,-1,496948,-1,-1,452028,130191,-1,392529,809117,988554,-1,-1,-1,810703,327908,-1,-1,691822,859258,-1,-1,-1,-1,-1,310498,291064,-1,476953,229239,472525,-1,997400,556447,392807,-1,-1,674429,430456,-1,-1,322391,549696,454004,979000,47993,-1,689265,152815,-1,-1,-1,-1,-1,996100,-1,684626,551543,-1,-1,476405,-1,952206,-1,-1,896662,978127,978179,-1,407317,-1,-1,-1,632173,387842,-1,699779,218159,-1,-1,509551,-1,-1,340729,658659,46337,167974,-1,-1,-1,990613,-1,406335,177930,460060,549262,549519,-1,-1,172301,-1,865382,340817,292345,-1,-1,-1,686087,645606,311916,364138,-1,9213,917476,616657,501649,-1,-1,-1,239684,-1,-1,-1,-1,17192,-1,-1,-1,281661,-1,-1,-1,-1,-1,585707,-1,-1,754217,230654,-1,-1,-1,987216,624380,925610,273329,-1,51075,-1,571510,395771,737969,724444,287865,908949,76237,307551,-1,24996,864245,-1,825986,80406,813205,102018,13613,847780,-1,-1,-1,-1,333489,-1,298070,431485,-1,-1,-1,268225,949136,888664,226636,893130,-1,-1,-1,-1,-1,-1,599751,-1,612982,78351,-1,118615,653963,495658,-1,-1,524098,-1,781394,-1,-1,-1,-1,786275,-1,-1,937046,-1,181616,-1,343895,830005,50787,318031,819593,-1,-1,513948,300760,466157,324479,-1,890794,-1,430691,501017,469582,146560,-1,820795,-1,834037,-1,-1,279645,-1,-1,649180,-1,236016,364928,291352,-1,224416,51141,738282,542659,74872,-1,164074,10997,-1,-1,666777,-1,-1,189678,-1,-1,893833,-1,-1,535958,329399,-1,-1,263163,-1,515421,-1,180338,-1,538751,397851,-1,535677,141934,-1,-1,-1,178003,-1,281304,-1,-1,-1,250085,-1,511811,-1,-1,-1,144461,-1,880714,688746,965597,830870,-1,-1,448657,343224,-1,69471,-1,185158,-1,35921,-1,-1,250916,-1,-1,336199,-1,-1,-1,-1,475657,216594,-1,224975,176524,-1,-1,859049,-1,-1,243506,-1,939683,728783,-1,-1,-1,808978,-1,-1,-1,857142,255246,186361,739347,-1,-1,396998,569645,321872,-1,58982,-1,-1,595172,-1,268335,-1,-1,-1,796385,-1,-1,-1,901992,687385,-1,803971,-1,578126,-1,887984,590527,-1,-1,222788,-1,-1,-1,-1,-1,579042,-1,874956,64881,133213,-1,-1,777209,939505,440426,-1,-1,150317,-1,-1,116903,75389,-1,-1,-1,-1,2215,-1,22600,-1,747554,-1,529009,-1,-1,-1,-1,31759,504878,-1,-1,148914,600498,-1,-1,921762,427509,561714,-1,-1,522958,643315,301315,210591,-1,-1,571267,-1,-1,-1,-1,4325,281953,767151,867052,258244,655817,-1,-1,-1,449331,-1,-1,454907,-1,-1,301199,-1,-1,-1,629293,-1,849747,935560,-1,-1,-1,-1,-1,175747,392377,-1,-1,378685,941817,274453,631721,95551,763894,-1,-1,-1,546694,-1,-1,332623,-1,592376,223629,624414,211100,876311,-1,649944,-1,-1,-1,-1,-1,625160,157019,852588,-1,-1,-1,-1,477677,-1,-1,927615,-1,-1,427047,451188,-1,127994,-1,-1,528816,324598,-1,569115,990816,773631,695486,-1,-1,818803,167701,-1,978348,-1,978471,-1,236705,606359,746886,597382,227015,624032,-1,-1,-1,482952,205349,133938,-1,-1,301209,-1,282565,453860,223184,-1,990728,132286,-1,373270,160320,367234,-1,-1,-1,363539,-1,-1,822657,815765,-1,753635,-1,639559,435616,-1,-1,-1,145145,-1,859017,-1,-1,175150,-1,-1,-1,961161,-1,793474,472738,-1,702604,400571,538752,442093,589293,-1,-1,780166,273695,894094,6710,66395,-1,-1,-1,278955,698311,320693,418531,295,844005,-1,563394,-1,207840,-1,-1,-1,228731,171835,775521,-1,-1,822970,-1,-1,786375,-1,-1,194399,-1,-1,235941,735745,-1,-1,15312,557689,-1,752678,-1,-1,397539,445248,342060,-1,-1,-1,791677,-1,339923,355644,972614,-1,929359,-1,818404,75669,401095,715829,237055,412349,-1,598828,68720,-1,862083,-1,696888,808866,-1,-1,-1,256530,-1,605818,-1,-1,857966,-1,-1,924155,825267,567495,-1,670658,33243,-1,-1,-1,888056,-1,311396,554868,-1,-1,-1,-1,-1,-1,187609,664334,168856,-1,-1,-1,-1,-1,-1,196491,944294,514924,-1,-1,355736,-1,-1,-1,-1,-1,970718,-1,-1,129798,-1,93049,-1,165465,85532,-1,-1,-1,-1,-1,219916,303738,-1,162787,-1,-1,-1,41610,-1,434366,-1,-1,-1,260735,103065,-1,-1,-1,-1,82132,497117,61521,-1,436433,604411,102120,-1,-1,748172,-1,607609,127586,-1,-1,-1,145256,-1,192532,-1,-1,-1,-1,-1,-1,-1,-1,554513,-1,-1,662663,-1,-1,227949,-1,616756,823332,24487,-1,139812,-1,-1,203373,851040,-1,913647,341468,-1,374532,-1,-1,-1,444909,502167,693574,263361,-1,-1,-1,752482,396396,-1,-1,-1,-1,888135,-1,758777,100717,-1,-1,-1,76961,493714,-1,-1,-1,-1,816433,-1,-1,282594,692900,674696,367789,493112,-1,-1,93112,141287,-1,-1,237524,-1,69607,491044,-1,292430,792731,-1,-1,478771,-1,229852,521046,992732,954511,-1,653219,-1,76953,-1,951214,476014,-1,596265,339081,981294,892814,-1,497808,-1,-1,173886,-1,599366,-1,-1,246220,960696,408644,-1,891899,373522,-1,-1,-1,-1,613828,567206,958074,-1,-1,-1,966333,-1,-1,-1,904926,-1,-1,93045,537974,680908,801127,-1,-1,-1,-1,-1,602710,-1,889103,130475,-1,-1,852962,445454,49470,950688,480596,173755,213390,32006,220917,-1,-1,371843,-1,468877,-1,-1,-1,834475,601898,358844,-1,-1,926978,202436,397744,-1,-1,-1,954145,218638,809534,-1,466402,-1,-1,-1,-1,947654,-1,877439,67367,-1,-1,-1,-1,523631,-1,775343,854028,201741,267838,-1,-1,-1,-1,660475,-1,771608,-1,148667,650923,-1,125941,-1,925876,795420,-1,-1,610412,-1,362753,925649,870276,451991,644760,63453,188427,-1,824773,885704,-1,-1,743866,437080,-1,-1,-1,-1,-1,119877,500422,785679,-1,117835,219603,-1,-1,-1,-1,-1,-1,960453,-1,782773,270445,587127,269382,-1,39060,900215,-1,-1,368371,476747,-1,-1,579578,-1,787256,713011,561823,516947,-1,721698,-1,59521,32950,-1,867681,168914,-1,-1,-1,-1,-1,-1,917735,706636,-1,-1,442096,782813,668949,-1,627168,242424,-1,-1,404373,865161,-1,644104,293455,563493,-1,-1,218271,670540,-1,146965,965301,-1,982344,-1,-1,158304,81592,-1,435165,-1,-1,-1,-1,-1,505262,-1,-1,-1,-1,-1,7332,-1,-1,746960,39271,842392,83690,-1,137512,-1,-1,-1,655209,-1,84781,10057,-1,758740,-1,512234,498699,352751,-1,393878,232390,134184,-1,-1,-1,-1,553221,897733,-1,784317,-1,-1,-1,-1,-1,773029,591801,413517,633699,-1,-1,921924,338874,98615,991622,77549,987092,-1,-1,435221,645594,865818,410154,434048,-1,-1,-1,569240,293707,-1,-1,824670,110172,-1,569891,-1,-1,-1,-1,564399,-1,964634,874095,-1,-1,918184,694784,382379,-1,-1,-1,647835,42426,155323,159320,875200,489261,604781,-1,-1,26711,-1,-1,-1,258875,369642,-1,-1,202727,200814,-1,47172,998466,854318,-1,593487,762819,-1,626977,-1,-1,277230,55842,-1,-1,154761,-1,977159,30702,-1,781438,-1,-1,346880,-1,-1,-1,-1,-1,97870,-1,753463,610409,-1,-1,683268,-1,-1,-1,421103,117528,642819,426650,280650,444723,-1,-1,-1,-1,-1,888882,-1,120898,861279,-1,904312,654643,302764,955403,625819,-1,-1,262501,-1,196945,885377,-1,163929,380858,165105,785008,579761,37065,493777,582352,-1,-1,378518,203484,379401,-1,-1,-1,-1,-1,140779,-1,499427,371228,-1,-1,634302,-1,856127,-1,-1,828991,53503,-1,-1,-1,889921,-1,-1,-1,98815,-1,-1,414065,663141,-1,-1,577034,227137,375439,694749,346962,-1,407125,709824,946058,-1,-1,43179,-1,51879,-1,-1,280462,703144,-1,-1,-1,-1,747224,360747,854813,758582,-1,-1,-1,313170,-1,-1,-1,111481,-1,500642,-1,780632,-1,-1,-1,-1,351518,-1,-1,815403,-1,820141,-1,-1,866698,-1,845502,-1,427461,322848,93891,88359,-1,227026,-1,481799,-1,-1,-1,201093,229890,-1,-1,273229,-1,472429,-1,-1,-1,-1,413230,928361,477619,-1,-1,231001,526906,275701,-1,956916,-1,697772,65000,518434,875802,713154,-1,-1,-1,918362,-1,-1,-1,-1,330303,-1,133572,-1,-1,794026,-1,128246,778658,149166,161816,958446,-1,831723,-1,-1,180146,223299,534475,257110,508312,787196,124607,405684,-1,-1,791913,-1,479764,470248,543833,967566,-1,756320,589592,-1,850971,49833,877302,237758,417098,65095,-1,611232,824832,-1,-1,988265,957310,575783,360967,872632,239726,-1,215776,-1,80123,8625,927487,625793,356187,659612,-1,307528,-1,400528,676221,78663,261919,303097,-1,-1,983469,-1,-1,789734,-1,829026,-1,-1,-1,-1,889259,441585,-1,597017,-1,200305,-1,929589,854661,-1,-1,-1,671479,-1,-1,304602,780223,-1,-1,-1,968970,-1,468185,-1,272239,58639,-1,481669,143870,-1,317757,474609,825020,894837,-1,-1,970897,-1,768225,-1,-1,958715,-1,384283,318320,835132,850138,-1,-1,-1,-1,-1,38388,-1,-1,-1,450588,628168,-1,879510,359533,-1,-1,514844,-1,785506,436627,886424,-1,612888,-1,746760,-1,210254,-1,-1,466622,934666,-1,-1,-1,-1,974851,650627,-1,324762,241238,242042,-1,-1,704276,124508,351843,-1,142468,961193,-1,831341,-1,711444,-1,314385,-1,-1,-1,479207,166048,-1,-1,301882,712506,-1,656354,66965,-1,110265,194190,-1,-1,-1,661663,-1,-1,520586,-1,-1,-1,-1,-1,411888,-1,-1,-1,249297,-1,-1,-1,964176,-1,587889,608062,-1,-1,-1,825161,826735,-1,619933,-1,-1,453982,608711,483686,-1,911503,230497,984920,29921,-1,-1,-1,-1,-1,-1,-1,202477,639711,-1,813815,295690,-1,-1,788995,189321,-1,3273,-1,750566,-1,-1,152487,-1,-1,852814,359022,-1,133835,-1,-1,-1,252647,222187,-1,819870,-1,-1,-1,606070,-1,304412,459920,-1,-1,-1,-1,-1,465891,332760,-1,-1,-1,-1,-1,-1,-1,56367,22940,-1,-1,489006,383572,952771,-1,604543,184894,-1,-1,-1,-1,-1,608246,-1,-1,12967,233477,-1,253115,-1,-1,-1,742177,-1,546673,149061,20391,735309,-1,-1,119062,779082,-1,-1,-1,-1,578263,526036,-1,-1,-1,-1,-1,381600,-1,-1,905774,594374,-1,618848,-1,790465,-1,138590,537990,26898,-1,18773,-1,-1,-1,544128,9893,-1,-1,-1,690849,-1,17168,920897,-1,481610,947055,131980,701715,185456,-1,-1,-1,476969,133846,837586,-1,458202,45233,139479,-1,694546,939697,772221,-1,382000,984603,-1,-1,-1,160362,586086,-1,446118,-1,-1,687666,-1,794860,-1,-1,438097,321741,-1,-1,27831,729696,-1,-1,245359,682262,-1,753776,285321,-1,461259,293536,627608,838514,723927,-1,655739,-1,-1,-1,-1,498267,277492,-1,-1,-1,223613,368825,529726,-1,115726,441707,230424,-1,-1,-1,805906,422335,407570,-1,-1,690130,-1,-1,-1,373230,432171,-1,92665,-1,-1,193506,-1,487663,-1,376128,727785,-1,-1,-1,-1,-1,-1,796993,-1,-1,829826,-1,-1,-1,-1,402167,-1,108188,-1,-1,-1,-1,508330,241636,624245,-1,342741,227999,-1,-1,-1,445703,427183,-1,24304,642535,-1,139668,910072,-1,459800,184845,-1,759262,-1,-1,-1,-1,437845,820078,524129,-1,-1,356150,-1,655164,942826,41841,723378,315075,199211,896113,894821,496692,-1,-1,-1,689847,632476,-1,418136,-1,100217,301537,511060,711231,-1,883860,814746,-1,379559,-1,225108,16710,-1,841648,-1,-1,-1,-1,-1,948708,59905,782095,451163,553024,258361,-1,813316,-1,-1,-1,728455,10701,177228,-1,919491,420396,120198,-1,306309,-1,253821,857237,133385,-1,-1,77179,603560,85618,-1,741205,-1,-1,356738,-1,336019,-1,642194,-1,-1,-1,95367,426613,426736,18932,-1,-1,-1,19442,-1,-1,179504,-1,417988,978242,-1,-1,-1,37691,-1,-1,-1,-1,-1,-1,-1,-1,361532,228355,-1,998053,-1,-1,731170,78459,-1,796045,-1,-1,-1,-1,756669,561233,-1,-1,-1,188650,72218,712067,351090,-1,848802,771037,233201,-1,-1,-1,-1,-1,84649,948863,436696,851583,-1,673071,385337,-1,-1,-1,690051,139278,-1,92019,106557,-1,342145,-1,330177,663094,451692,-1,-1,-1,759977,307157,868760,-1,-1,-1,-1,-1,-1,803539,-1,-1,559396,121030,697273,-1,-1,-1,-1,-1,418589,-1,-1,-1,166781,-1,437898,-1,228553,-1,-1,-1,-1,775211,-1,445897,-1,-1,491883,-1,588972,481852,-1,461929,-1,-1,-1,-1,-1,-1,530576,897486,-1,-1,144056,-1,670199,518903,38791,-1,878401,33891,536921,-1,-1,208620,-1,358120,-1,937442,-1,999674,719484,-1,636512,-1,128973,643582,649059,988731,129296,10979,932790,-1,-1,594256,675572,-1,372750,749766,589836,78797,-1,-1,-1,-1,819074,-1,953550,-1,-1,-1,466083,-1,-1,785766,875001,416382,131830,677774,69161,-1,667593,884508,-1,-1,78347,-1,-1,-1,344427,532241,-1,323151,541508,-1,-1,882971,569013,-1,-1,518345,-1,-1,-1,716701,-1,-1,-1,-1,663822,-1,-1,-1,-1,991379,159424,-1,-1,-1,-1,-1,-1,828575,210648,14841,614009,299295,319212,690028,-1,751796,-1,-1,2822,873898,-1,-1,-1,878930,-1,304027,818363,145470,333773,709928,476796,-1,-1,184747,-1,-1,-1,378453,251392,-1,-1,-1,828260,617232,-1,295124,-1,-1,-1,-1,-1,-1,-1,-1,-1,436243,694456,518305,-1,-1,718636,-1,247359,-1,-1,-1,-1,414186,964517,79251,-1,-1,785940,-1,-1,54005,649593,-1,728961,-1,-1,772082,-1,-1,832911,669199,421718,-1,385284,824794,864257,337693,-1,-1,542714,995271,492810,-1,-1,960584,265888,723531,787028,-1,397531,-1,-1,906679,157346,353985,407943,-1,767235,-1,-1,-1,811853,300888,-1,-1,386831,-1,-1,937002,-1,445833,-1,-1,660600,-1,894081,739247,928455,-1,938848,205369,-1,324339,-1,-1,-1,-1,870273,-1,951238,-1,-1,171757,781991,-1,-1,551658,72726,892011,-1,813390,-1,-1,656672,-1,-1,141931,-1,-1,-1,205316,-1,-1,956530,420166,194626,799166,569905,-1,2534,285053,846192,513097,-1,522555,-1,-1,-1,-1,395693,840772,430375,232134,-1,369916,-1,391585,-1,-1,245982,-1,342633,-1,-1,309637,901289,-1,680261,956477,-1,-1,483220,831402,-1,-1,971945,-1,672591,948001,177190,-1,-1,-1,-1,644994,-1,454721,62413,-1,355005,-1,242144,-1,-1,862813,-1,-1,172698,636194,927162,823703,-1,942744,255419,-1,-1,638760,-1,-1,-1,-1,725744,-1,902099,-1,696634,774481,-1,-1,39206,-1,588143,497615,645071,-1,905868,-1,-1,524680,-1,-1,327898,-1,-1,249768,340155,-1,-1,64676,631809,-1,-1,-1,911170,531962,-1,-1,289288,-1,-1,-1,255691,805844,989844,-1,525328,684267,588088,-1,-1,52226,-1,-1,182761,609930,547171,-1,-1,858610,-1,513157,91368,983665,-1,401080,915880,-1,554276,493021,202349,-1,431838,-1,862963,191405,274192,702059,-1,165690,706737,-1,-1,-1,321661,793807,-1,-1,103804,552512,198292,837731,-1,-1,-1,-1,-1,-1,-1,-1,336647,648853,175044,581227,397505,761634,-1,-1,-1,361643,67905,-1,-1,-1,876114,-1,-1,-1,756095,15060,607077,195253,-1,394101,410509,174257,516261,305806,923602,-1,-1,12829,-1,-1,171066,-1,682797,930134,573787,-1,-1,-1,22377,-1,-1,-1,545322,174427,-1,117145,740834,373619,556166,-1,115208,-1,-1,-1,762746,931367,723613,561605,456547,-1,-1,304878,-1,513351,288970,-1,563018,-1,428422,291305,-1,-1,-1,-1,-1,-1,-1,722125,-1,596570,783837,-1,4330,-1,177585,-1,-1,519932,-1,-1,574251,-1,475289,-1,-1,479876,-1,413733,128860,535694,565571,564477,-1,77509,-1,-1,263007,-1,761703,427668,-1,-1,-1,-1,-1,-1,704260,187149,736383,-1,925802,348601,426369,908261,922647,732917,-1,-1,-1,-1,-1,620616,-1,-1,623739,680544,960629,-1,-1,966015,159241,138266,781257,-1,-1,811183,-1,-1,833769,-1,76657,-1,-1,-1,-1,-1,-1,-1,-1,420252,-1,-1,178212,441955,310268,475878,445108,-1,-1,-1,-1,513235,-1,-1,-1,-1,-1,477116,12810,22323,-1,622830,-1,194235,-1,-1,637908,-1,-1,-1,756547,-1,527211,157389,-1,-1,-1,-1,178538,-1,616415,390109,-1,-1,611056,285965,-1,-1,391025,169758,-1,-1,-1,-1,-1,26660,-1,-1,443089,-1,702436,599695,-1,541240,-1,-1,-1,-1,-1,-1,-1,-1,-1,441671,979138,-1,-1,988356,191399,423063,434835,-1,-1,-1,383846,842785,28330,673069,-1,854781,150292,-1,334678,755902,929857,650782,523344,-1,-1,-1,337835,-1,616480,-1,915640,-1,-1,-1,48482,874952,-1,-1,-1,136730,-1,-1,444240,247187,568387,-1,431914,-1,-1,-1,-1,947866,-1,648307,-1,602981,44001,357135,-1,-1,-1,840354,178732,440842,-1,12310,132490,-1,-1,229665,493510,330885,660991,278826,47060,716193,990059,-1,74253,426595,917123,712013,-1,741987,-1,969609,-1,-1,448602,-1,-1,-1,-1,546956,357033,320446,388853,766289,-1,-1,480531,-1,-1,-1,-1,131936,-1,-1,-1,516369,-1,147739,-1,-1,-1,705222,-1,-1,-1,947106,-1,855789,-1,91924,768401,882710,-1,-1,948904,317377,957596,-1,847368,-1,967033,-1,-1,-1,-1,252613,-1,942058,-1,727767,-1,981610,879779,822543,-1,669123,-1,294972,417517,-1,681838,-1,834421,685986,-1,222495,-1,-1,-1,928284,795950,912732,120745,119684,-1,133393,-1,456401,-1,-1,-1,-1,546452,941825,-1,892319,-1,535188,-1,929117,-1,-1,-1,974302,344356,-1,236772,217383,-1,334482,988700,-1,573938,727545,-1,143058,417864,943651,-1,841197,-1,357618,-1,-1,-1,186379,-1,-1,277195,-1,823339,821641,963758,551393,-1,203499,2831,-1,-1,700381,-1,721373,-1,-1,-1,-1,148577,-1,952353,-1,-1,-1,567959,-1,873106,-1,870396,-1,-1,-1,193023,-1,678726,45895,214755,-1,944080,531623,933219,-1,895421,861592,-1,-1,458905,-1,223678,833306,-1,-1,-1,49868,627150,-1,802612,876678,385806,844343,-1,-1,-1,618106,-1,900413,-1,-1,631425,-1,-1,-1,-1,23078,792382,822591,-1,-1,227983,47945,-1,948682,-1,-1,773318,864809,890763,399045,730682,-1,-1,158630,226290,-1,-1,-1,-1,22376,-1,-1,690759,485740,-1,-1,789498,-1,-1,274623,-1,86349,-1,-1,-1,-1,-1,-1,415748,-1,166957,-1,-1,871305,165076,217309,-1,-1,-1,-1,-1,-1,-1,143633,-1,82305,-1,936440,-1,-1,-1,823983,907317,703867,-1,-1,109663,65557,303188,-1,-1,-1,-1,-1,935197,-1,474084,230954,434405,-1,-1,-1,-1,-1,179841,-1,967109,-1,-1,-1,419708,-1,-1,146999,592131,875481,956217,240059,162479,-1,996648,-1,434891,87794,543349,-1,621601,-1,426535,-1,992965,-1,373872,-1,-1,-1,188291,-1,-1,334605,757923,-1,873740,-1,667070,751585,-1,689567,77626,-1,90457,172600,397123,-1,250167,259578,176943,-1,-1,-1,-1,-1,201505,845645,-1,767006,-1,-1,-1,461071,-1,165652,199911,981785,783484,38023,-1,808394,330849,947907,-1,-1,312033,233813,884395,-1,-1,404911,115092,-1,929316,358813,-1,37303,-1,-1,813296,-1,497734,-1,270789,432045,920506,934349,-1,-1,-1,67184,-1,518653,-1,-1,-1,795539,844594,419746,-1,-1,-1,334121,-1,273437,509648,-1,407712,-1,111849,544830,982466,-1,-1,-1,-1,999011,631443,-1,974602,-1,-1,-1,334963,-1,963598,533488,-1,839776,-1,432788,648715,-1,714927,504733,545555,829238,-1,952768,-1,258985,868082,-1,657241,397909,465784,-1,984379,-1,657924,80912,630143,959772,248865,494684,335699,-1,578622,653687,368454,339394,-1,-1,817844,247734,761616,211706,-1,265376,-1,-1,100618,204061,-1,110031,-1,-1,-1,430491,563005,345822,228657,360563,45857,-1,465272,639232,323753,-1,-1,-1,156165,-1,539382,-1,-1,-1,-1,788758,-1,782533,204127,-1,74392,547367,-1,568379,567694,267845,98398,407547,-1,158855,602309,309628,644935,-1,702673,-1,687314,538263,-1,99071,606900,-1,413883,-1,26114,-1,510405,-1,427981,895428,-1,230026,559110,-1,-1,581821,330141,598223,990383,704322,469360,739165,572060,160168,414397,-1,922364,-1,-1,-1,-1,-1,-1,-1,-1,197301,163869,-1,645824,-1,-1,566638,-1,-1,-1,-1,-1,827470,288485,-1,-1,814891,480391,-1,-1,-1,-1,272127,-1,-1,908618,976059,904186,-1,52501,217402,223239,-1,-1,192638,-1,38555,-1,-1,682282,136672,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,372611,473101,543399,-1,-1,-1,-1,803007,755131,865922,-1,643438,524179,330102,-1,-1,-1,6565,655536,109433,-1,-1,-1,-1,573947,802252,629964,651568,-1,338534,807765,-1,-1,-1,888243,-1,-1,149773,676639,727451,-1,749236,-1,170191,-1,-1,-1,890542,-1,-1,494275,-1,-1,21020,-1,711345,-1,301249,-1,185126,-1,635982,-1,267012,-1,-1,530994,-1,-1,-1,-1,-1,-1,-1,805942,-1,771331,-1,-1,-1,938160,-1,904580,779712,-1,-1,614626,-1,-1,193068,122765,-1,65524,346263,995265,-1,-1,131045,918714,-1,347753,383514,-1,522738,659610,-1,-1,697140,497978,600341,217699,-1,-1,-1,-1,605676,-1,-1,388781,892215,906096,-1,831126,-1,-1,706784,-1,-1,-1,-1,712347,236462,-1,-1,351461,243676,227024,578230,-1,79922,-1,576001,-1,-1,989965,-1,769223,86141,-1,-1,567031,-1,401787,311046,377431,479786,625365,82057,438961,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,696829,286172,294871,-1,975709,922882,-1,-1,290528,-1,830110,632849,291630,432173,381454,8647,732170,404619,221920,-1,865625,932871,-1,-1,887414,595206,139597,-1,-1,448756,218453,-1,892336,-1,-1,114544,-1,352155,969650,409132,-1,498900,737750,962414,-1,-1,-1,-1,-1,732093,-1,674456,-1,-1,76812,-1,330641,-1,-1,139155,-1,795057,620300,309828,-1,737829,-1,632471,64579,-1,782145,18417,313740,380946,-1,919540,969537,-1,-1,-1,-1,-1,-1,818168,308013,128546,692922,806938,-1,241255,-1,520170,-1,-1,203334,750707,300338,842089,7306,382699,-1,-1,802555,-1,489564,9884,-1,285660,533210,-1,616721,545309,602635,-1,182015,339683,-1,-1,-1,835308,-1,-1,691028,722305,-1,-1,339903,-1,-1,-1,4191,-1,-1,916249,-1,-1,-1,-1,936923,-1,209465,803616,-1,-1,-1,-1,-1,-1,-1,178218,-1,-1,-1,-1,522013,-1,-1,-1,-1,-1,655936,-1,408894,588193,911115,-1,724697,-1,373392,-1,218127,331182,39745,-1,658306,703810,-1,35379,-1,146653,410423,-1,638248,-1,344049,265331,419127,639215,-1,-1,-1,-1,332774,-1,938633,-1,-1,-1,604054,-1,260982,440176,-1,-1,198788,-1,-1,-1,-1,-1,-1,848053,-1,685998,866430,273049,-1,-1,-1,-1,-1,927752,35835,882630,358210,251551,671069,925569,-1,477293,438041,665732,711914,795800,856801,336266,-1,-1,183592,-1,368600,718807,-1,946505,851204,-1,-1,853257,936485,808731,-1,-1,747639,473988,-1,351092,953308,-1,-1,780158,811388,-1,-1,-1,-1,-1,-1,-1,-1,886047,57756,807184,182440,-1,382532,-1,-1,-1,-1,104555,-1,-1,52399,-1,-1,327641,542094,560785,240232,802265,-1,412737,835744,-1,455046,-1,693764,-1,565051,-1,139903,211884,55808,922613,685252,-1,696308,722234,592268,245965,-1,-1,833813,812408,592259,852817,-1,-1,518821,929361,933435,880523,259670,551106,519068,-1,226015,-1,-1,592871,-1,-1,836437,201620,858161,237586,-1,-1,-1,-1,756396,-1,116195,436399,-1,-1,-1,198763,256541,-1,401595,225793,554770,203692,245511,554661,-1,857806,-1,811748,611791,-1,239208,-1,-1,-1,120732,-1,-1,111866,976554,729725,739589,-1,9668,-1,-1,-1,-1,776199,-1,445317,459620,206641,806410,719294,-1,198376,904433,-1,-1,-1,802197,-1,857535,-1,-1,197687,-1,68985,376598,-1,-1,-1,904549,5290,40270,-1,419386,127470,361854,-1,-1,681025,570021,-1,27821,-1,-1,590419,-1,-1,751112,179724,-1,-1,64620,67219,544969,-1,395184,-1,647744,-1,892557,-1,-1,458219,-1,-1,-1,286573,-1,-1,490735,892023,-1,745170,124464,280781,24416,-1,-1,489441,379938,-1,319001,448330,-1,308063,-1,925963,135303,335786,-1,327504,-1,-1,-1,-1,696810,345380,134235,30652,-1,365183,892963,88219,564338,571436,-1,-1,-1,77280,-1,708990,-1,-1,523901,-1,992866,289852,777976,-1,231416,77828,666519,-1,-1,250475,-1,-1,-1,469255,-1,936007,-1,-1,101178,828781,143063,262393,703020,-1,-1,382500,-1,593563,608256,147983,96892,221390,929849,721433,-1,157504,608394,-1,824588,767361,103276,-1,198833,-1,616266,588699,786757,253648,-1,-1,-1,-1,509762,636532,456305,376116,539751,-1,-1,-1,181728,-1,454749,194592,759410,895681,-1,-1,80230,361166,-1,-1,128058,-1,-1,-1,-1,-1,297367,-1,-1,-1,-1,-1,-1,602954,287469,616935,359416,565901,70076,2262,352018,718215,295061,-1,-1,-1,-1,-1,-1,-1,217326,-1,384811,-1,645338,358064,-1,989725,-1,-1,-1,144770,605816,-1,-1,-1,808957,580623,324607,766734,-1,-1,872982,462598,557029,236541,-1,418137,-1,-1,744465,-1,770705,-1,-1,31265,-1,48132,-1,-1,847567,-1,992065,887143,-1,-1,543953,-1,32572,-1,677195,222968,-1,-1,959091,-1,580928,931538,-1,588587,27122,-1,818529,-1,248935,-1,706318,210347,-1,-1,-1,-1,-1,799872,845430,510776,478162,-1,-1,-1,-1,-1,-1,410991,145808,39918,485883,121662,-1,-1,-1,513612,270346,631563,484036,-1,-1,703393,243507,-1,850092,119856,1061,910739,-1,-1,194500,-1,167168,-1,-1,19879,661824,-1,-1,56093,506921,-1,659714,287561,-1,-1,557398,946977,-1,870738,-1,931936,-1,988231,274496,-1,-1,-1,776522,-1,168641,735306,-1,395952,-1,516394,-1,-1,610454,-1,-1,663414,284635,196039,81195,-1,313901,-1,296107,-1,-1,-1,-1,890293,861654,937732,-1,-1,681425,621636,5422,864682,237301,-1,683079,-1,-1,-1,873714,480003,-1,-1,-1,163541,-1,-1,-1,431071,685417,170600,788479,619167,-1,-1,144905,-1,449539,279458,-1,-1,-1,-1,918132,911694,-1,110773,354710,-1,167740,976902,-1,-1,-1,204571,367929,-1,-1,684183,-1,-1,869163,651511,-1,-1,184816,592262,962639,-1,957916,-1,-1,992920,-1,766604,261959,-1,420316,85377,-1,195031,-1,115681,404970,-1,-1,120992,877106,260034,845927,627862,523975,624171,862502,-1,-1,-1,-1,-1,-1,382109,-1,-1,-1,330639,185852,-1,638817,286214,-1,-1,110355,515869,-1,-1,890353,195130,124435,553537,-1,373420,58286,-1,261878,-1,310920,-1,-1,979691,70809,523027,236921,697508,308429,871182,-1,297000,-1,181246,-1,213549,552825,925951,381047,142855,77231,-1,-1,-1,-1,-1,-1,741775,-1,-1,159376,341752,-1,279108,227579,963119,-1,-1,-1,569187,649264,765906,-1,-1,761925,-1,89146,681686,804725,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,486268,570619,-1,-1,768211,907495,967638,-1,-1,587462,-1,368638,-1,656426,914142,211680,-1,731094,-1,-1,-1,548981,180085,-1,-1,958569,311376,612634,-1,690104,-1,-1,517770,251062,591416,994935,-1,461550,340470,-1,-1,502338,133004,443307,-1,254653,-1,-1,-1,957314,236043,162440,-1,148949,66825,627491,-1,-1,566097,410374,907280,-1,-1,500624,332294,-1,108099,-1,610447,70998,386672,635113,821220,-1,738683,175860,907315,-1,-1,516628,-1,813164,-1,640073,394418,8090,-1,869978,363295,-1,715943,-1,-1,300148,395695,-1,-1,-1,374090,637073,104608,893393,-1,747995,906959,961852,842009,465017,-1,927923,-1,-1,-1,-1,412731,-1,-1,-1,-1,-1,-1,486476,-1,-1,388481,590213,209734,-1,158116,-1,-1,-1,252060,717345,-1,255921,-1,259410,-1,94308,-1,384144,31512,317842,-1,-1,228590,-1,861568,-1,273145,91474,109982,-1,110911,-1,111759,-1,819695,-1,-1,-1,7530,-1,-1,34628,-1,-1,-1,94096,622112,-1,159150,-1,686119,-1,-1,-1,289515,328312,809485,125223,-1,21092,36554,-1,732690,805270,-1,923048,394049,662186,943875,-1,635670,-1,699356,966435,-1,-1,418727,674107,216092,774606,961191,148626,457589,-1,-1,-1,983713,-1,-1,622310,672008,646044,582814,-1,625639,294911,-1,939514,777642,925416,-1,-1,-1,-1,-1,-1,-1,-1,316641,-1,-1,983473,-1,-1,823460,-1,986202,-1,59070,-1,-1,-1,-1,541619,432999,-1,-1,-1,-1,-1,-1,-1,-1,101200,-1,401455,-1,863716,-1,-1,-1,588777,271881,639289,-1,22580,-1,-1,243564,-1,81257,635794,-1,16313,891743,-1,-1,904808,320942,256082,-1,265534,189772,-1,135217,166,364275,172538,-1,521855,-1,98559,-1,66445,-1,730519,-1,307881,17411,208937,592835,754200,853092,811531,506492,370572,-1,-1,841594,985170,323016,-1,-1,-1,319175,-1,585835,-1,166885,866491,498623,-1,-1,584526,-1,550534,832272,1717,-1,-1,-1,580100,634330,850243,197859,-1,-1,747169,-1,603403,996603,-1,239390,-1,56983,297326,320243,143047,-1,364774,475943,910845,-1,644268,656595,379864,-1,-1,885707,-1,210094,398995,135019,-1,51569,-1,-1,-1,-1,-1,-1,-1,-1,797300,397227,631705,-1,-1,878853,-1,-1,-1,970231,476709,-1,-1,538806,969912,-1,729499,638175,71108,-1,595513,-1,-1,31196,247957,378512,-1,189314,470642,-1,44525,-1,-1,59179,-1,771513,875502,606050,-1,493573,911468,438206,-1,-1,370273,901133,439881,164624,587881,345880,204403,-1,-1,-1,529213,17910,294232,72059,-1,410051,670371,877596,296977,159773,456863,-1,-1,-1,-1,-1,189181,947803,649682,-1,273962,-1,489273,85173,-1,811803,710980,-1,-1,-1,960672,629173,881185,-1,932738,-1,567829,-1,366898,-1,-1,-1,-1,-1,948858,113239,961753,-1,-1,498969,588725,502256,234226,274768,338975,175483,467021,-1,-1,916761,-1,-1,-1,905368,98543,197771,-1,-1,629336,454435,787017,-1,-1,924336,-1,-1,-1,297690,-1,619284,299573,-1,-1,-1,384423,501594,-1,542422,-1,-1,-1,956992,790837,48089,-1,116269,-1,-1,928431,-1,-1,-1,620783,613119,-1,-1,653446,-1,128216,-1,239967,-1,531654,-1,226559,-1,-1,-1,883369,145625,-1,673731,493446,169378,-1,319505,195366,-1,-1,-1,-1,209134,-1,209870,845909,787298,235701,927387,-1,-1,-1,386316,-1,-1,559751,351045,-1,513467,-1,136054,-1,-1,-1,-1,172599,-1,360369,-1,-1,-1,-1,349644,-1,-1,-1,164267,-1,661921,-1,-1,-1,-1,943299,-1,-1,887320,427324,419501,-1,-1,-1,834313,409360,-1,-1,735425,-1,606390,104309,732605,-1,-1,-1,-1,-1,-1,-1,-1,-1,954987,328030,-1,384454,507485,-1,124080,830522,627585,87712,522124,-1,70303,-1,678402,-1,342961,563696,396410,987356,-1,611459,-1,-1,324295,-1,-1,-1,-1,267986,437942,-1,629048,80639,604391,-1,651192,-1,-1,-1,-1,21936,-1,606972,411832,434816,683633,795652,-1,-1,771498,40525,55900,-1,-1,581235,-1,-1,-1,263977,-1,858803,990808,-1,709059,-1,426069,-1,-1,200370,-1,306441,512162,-1,-1,797599,484882,699826,-1,-1,-1,-1,892421,399487,-1,857381,770807,397315,808671,-1,885235,-1,-1,-1,-1,700867,135349,-1,14098,292378,904374,-1,-1,-1,971229,-1,-1,-1,-1,829327,-1,962252,-1,493517,-1,611346,-1,-1,421932,-1,-1,958982,157183,-1,-1,-1,390938,-1,-1,-1,714183,-1,982487,967165,-1,-1,825854,883768,67510,32801,956909,-1,-1,-1,601848,-1,336054,-1,75512,-1,579417,-1,-1,508866,-1,-1,-1,-1,-1,667663,-1,-1,419857,-1,155366,871473,-1,-1,-1,270690,-1,-1,324711,695191,-1,495085,833417,765543,247419,-1,-1,-1,-1,173788,613412,-1,418936,947766,575462,-1,244183,431875,363929,-1,660420,144473,256436,-1,441500,328918,-1,-1,246483,158435,201894,133984,541120,12250,-1,-1,622449,705986,824381,-1,694150,-1,-1,-1,-1,-1,-1,-1,263965,613538,-1,-1,-1,-1,-1,302987,-1,869499,-1,6016,540942,261390,-1,-1,408187,-1,539054,-1,-1,213103,-1,885702,134229,102504,468372,531531,-1,-1,448955,784669,25766,-1,-1,767642,524993,-1,-1,-1,-1,930718,519237,24043,-1,61783,829946,449054,-1,144312,-1,192793,265654,-1,-1,595707,219132,-1,-1,736214,-1,353704,29331,369795,-1,173207,337969,-1,833013,842511,152401,-1,-1,662227,-1,-1,469275,784648,525258,-1,-1,873469,767623,-1,-1,-1,-1,946578,577654,681400,800161,32885,-1,-1,632618,-1,842017,931907,910122,-1,-1,-1,996234,888798,565359,-1,-1,121907,839161,119362,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,544467,259288,-1,82478,649426,607055,-1,269815,488576,-1,-1,430797,-1,-1,-1,404562,432324,-1,-1,724578,497553,-1,185162,966318,514099,-1,235606,-1,-1,646532,41730,21000,-1,-1,-1,-1,-1,-1,-1,-1,-1,70579,793123,695788,666497,406906,675963,-1,2054,810831,-1,-1,590113,964556,526852,-1,713508,-1,325866,-1,332622,393434,-1,-1,-1,31232,-1,494410,924721,-1,-1,462550,634791,-1,-1,704172,385782,-1,-1,-1,-1,154317,-1,664911,-1,-1,720265,599982,-1,-1,49053,-1,698324,-1,796935,128465,127509,777661,368836,700407,399902,-1,901857,143475,-1,-1,618281,-1,-1,474923,-1,-1,721051,-1,118095,-1,792191,442351,-1,487011,208371,-1,-1,551612,-1,-1,-1,851270,-1,-1,682088,646228,-1,-1,370205,-1,-1,378845,-1,-1,686358,-1,22586,996523,-1,926888,-1,-1,988073,-1,-1,-1,-1,-1,393493,-1,-1,695112,-1,611425,-1,-1,-1,662725,-1,-1,-1,503308,675876,804499,-1,747149,-1,228930,-1,19946,-1,148142,657789,-1,-1,569011,425631,-1,276571,-1,963985,-1,-1,-1,-1,755657,-1,-1,923316,334046,-1,55679,-1,900684,526388,4515,-1,675901,-1,162154,492451,-1,-1,-1,-1,-1,942157,-1,502840,152300,979775,-1,-1,503664,-1,-1,-1,-1,223018,699349,-1,200827,-1,-1,1823,889100,-1,-1,-1,795076,-1,-1,693907,806462,-1,-1,-1,845530,-1,-1,-1,-1,785473,-1,581487,-1,678454,635204,51212,650814,-1,-1,-1,257326,-1,-1,858980,-1,297619,-1,385479,582169,-1,80651,-1,-1,420380,-1,584848,237358,817907,-1,132175,118674,819711,318234,-1,544840,258677,882330,913369,-1,-1,22441,390821,673518,400940,-1,372466,126349,62823,-1,817152,695147,-1,111748,-1,135782,-1,-1,-1,973778,-1,484565,217483,-1,320213,-1,861558,-1,-1,-1,496740,403385,894896,365296,-1,-1,633023,-1,951561,-1,565962,-1,-1,190491,-1,687315,-1,-1,314595,727063,444389,-1,-1,552424,369938,501855,-1,-1,-1,-1,609198,-1,430264,-1,6196,-1,489351,-1,150876,-1,-1,617645,3980,-1,-1,-1,676497,-1,195664,650802,617206,-1,-1,257195,-1,-1,-1,-1,540366,911184,165801,970679,-1,-1,575233,71831,-1,556164,432665,252816,-1,528042,661582,653537,536401,-1,-1,-1,532915,-1,-1,486879,283609,-1,-1,-1,-1,-1,-1,621180,574902,-1,750702,162143,-1,115264,938804,-1,-1,-1,-1,51404,744550,-1,-1,-1,-1,-1,951277,-1,-1,529995,51568,-1,-1,686337,-1,-1,-1,684073,334918,-1,-1,681672,-1,-1,-1,333646,896496,329582,11307,-1,-1,-1,51620,-1,128682,-1,-1,-1,116062,-1,-1,126340,773725,-1,171197,667785,287939,-1,643957,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,537502,939627,71714,-1,79457,-1,270893,549077,107694,671692,-1,666654,-1,263706,-1,653655,-1,76740,-1,-1,-1,-1,732858,101886,230430,840727,-1,-1,418023,-1,95075,-1,-1,394278,197688,-1,142369,17836,669119,173664,-1,233410,-1,-1,-1,-1,248945,994483,-1,141198,604101,548287,210621,178204,-1,-1,283254,260064,715392,58266,451931,93446,-1,-1,504918,94064,457346,-1,899246,-1,-1,-1,-1,440824,357941,-1,-1,506757,929373,275439,-1,483380,197775,-1,124087,546480,255810,158438,172420,518534,-1,358448,237256,-1,581250,-1,571459,163194,741507,97468,399723,324573,398255,-1,50451,855857,-1,-1,2740,480494,579904,-1,-1,-1,-1,899748,-1,205908,-1,573966,44065,787207,-1,567810,97427,-1,-1,-1,839039,-1,907179,-1,697374,387094,-1,99772,721863,-1,532163,-1,-1,-1,-1,251359,-1,-1,242376,950982,-1,232314,992803,969340,215772,503013,-1,-1,918079,-1,-1,-1,987206,-1,859176,-1,-1,743480,-1,83173,20179,-1,-1,-1,-1,-1,-1,600737,-1,-1,180133,995653,162321,552008,580631,356540,349687,247713,720263,95618,-1,-1,-1,223384,119558,-1,-1,-1,-1,257114,458854,-1,-1,-1,229285,-1,344861,-1,107134,920399,778854,131931,547938,126018,-1,962400,-1,521944,-1,-1,491480,-1,-1,-1,-1,-1,-1,-1,432512,553510,-1,211389,644620,-1,630491,44184,910708,601156,-1,856118,-1,-1,-1,731692,-1,308618,735494,180712,-1,-1,604713,337840,-1,-1,-1,-1,-1,144020,-1,846155,-1,-1,9058,-1,714190,-1,899221,122199,678434,131777,156802,-1,154245,-1,-1,-1,233370,-1,263850,-1,728341,832206,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,229731,195216,-1,-1,708309,-1,-1,-1,-1,316955,979290,488223,190987,82977,825042,386789,886510,560115,755986,446705,549315,-1,-1,-1,493822,827566,-1,-1,622698,-1,-1,35715,-1,813035,461987,-1,-1,752525,-1,-1,-1,-1,690219,-1,-1,-1,403640,-1,-1,-1,-1,264328,110370,-1,-1,-1,-1,-1,-1,-1,894222,237509,537415,312242,377600,-1,180437,-1,539888,-1,-1,-1,-1,689080,-1,767129,-1,-1,-1,461968,-1,-1,803403,470964,103890,-1,772833,38818,102327,-1,-1,798680,493897,-1,629914,-1,788321,-1,54972,729114,35,-1,-1,-1,-1,-1,-1,240227,204687,325160,990580,-1,852483,783354,860247,-1,838651,-1,-1,334201,-1,-1,-1,-1,-1,513647,340203,-1,849551,198789,465999,-1,-1,340936,-1,403480,-1,947982,959079,-1,632852,-1,528986,670013,386380,417526,-1,555173,-1,512137,934966,-1,60712,-1,-1,-1,579037,592825,720956,806183,999542,451922,-1,936838,678476,256643,10977,-1,574448,-1,-1,-1,-1,373377,-1,-1,230542,723839,-1,635969,883293,-1,-1,-1,921653,-1,595824,937236,-1,-1,-1,701183,301816,-1,837755,827166,752206,-1,169524,-1,-1,393256,973022,-1,802931,-1,-1,-1,-1,413523,298559,205946,-1,595717,625948,-1,896125,791610,-1,644551,934564,622137,746466,638224,736146,722537,822718,161502,-1,-1,570800,288928,-1,-1,769891,-1,518841,-1,-1,-1,-1,363152,223701,-1,-1,253530,828271,272059,322203,-1,-1,111116,230610,-1,-1,838899,-1,518586,-1,-1,743744,234473,-1,-1,-1,230815,173870,802237,805527,-1,-1,-1,-1,548335,885437,-1,794507,281292,-1,-1,-1,-1,-1,-1,281751,-1,409651,-1,-1,-1,869914,339361,-1,-1,492562,978167,825057,-1,860090,956129,294051,-1,-1,-1,463728,858048,347424,-1,-1,369248,-1,764449,-1,-1,-1,977685,-1,-1,-1,201153,116445,137187,242960,386294,-1,263495,666295,-1,300402,-1,-1,-1,450972,528102,-1,-1,-1,-1,913795,-1,335025,-1,-1,-1,568959,136819,392480,-1,154111,144082,-1,945492,339084,-1,913051,416053,-1,499860,201498,575978,-1,-1,258245,-1,-1,447272,970279,889890,805516,410000,459046,305285,736261,679957,-1,419141,-1,261452,-1,443073,63984,-1,-1,93512,459436,-1,587162,-1,68957,741503,-1,-1,349197,-1,759802,52276,-1,334914,-1,-1,-1,-1,680445,-1,355143,-1,397879,-1,-1,972990,-1,512321,-1,68169,600825,915955,-1,-1,-1,420338,-1,-1,614801,734709,324063,311320,-1,774772,-1,181212,578284,638186,-1,240757,169234,172241,759784,-1,308198,-1,486031,827925,744365,-1,325121,672784,-1,317962,-1,897579,-1,-1,-1,-1,27766,466286,-1,766744,-1,-1,-1,-1,-1,-1,760438,166186,430940,786786,-1,-1,925727,298364,-1,861456,362176,174386,-1,-1,-1,174054,-1,554186,-1,2491,836220,433462,-1,727250,-1,633747,-1,-1,179813,280037,-1,518246,258440,673528,-1,133438,893546,-1,-1,10271,-1,441075,87119,224204,720267,481574,-1,797322,-1,121131,45357,-1,11910,-1,871568,-1,175792,-1,-1,-1,290062,-1,-1,594393,-1,-1,629320,-1,55564,120994,353493,-1,-1,-1,283168,-1,389415,664857,641308,202360,-1,-1,714013,-1,124666,911016,-1,-1,557485,589486,-1,572502,60810,-1,86968,-1,-1,-1,-1,-1,482188,691371,177376,407561,-1,573146,828341,-1,-1,283590,-1,986030,729283,-1,654252,113612,993081,891623,-1,-1,-1,38016,471263,-1,778094,94779,-1,-1,-1,647306,-1,-1,-1,979636,-1,691150,-1,534213,-1,-1,455590,274517,-1,636651,130261,-1,633397,-1,-1,-1,95284,-1,-1,-1,928814,985006,-1,628616,-1,376913,-1,-1,-1,-1,-1,123496,-1,593265,-1,903776,-1,-1,418766,597596,-1,439739,369487,921165,-1,246517,444092,507020,-1,-1,156194,-1,-1,794358,-1,-1,-1,-1,-1,749672,151628,-1,2153,-1,355828,279991,115642,740472,-1,-1,282320,738199,-1,790784,692545,-1,191229,841812,33416,23161,576376,-1,883432,507690,853323,-1,647251,-1,-1,-1,-1,774213,242271,-1,-1,430249,-1,-1,182658,-1,-1,803727,-1,850400,220550,744011,-1,821479,-1,-1,-1,535021,-1,938972,-1,515598,287540,22732,-1,-1,965866,-1,311457,816385,-1,-1,657396,-1,733746,-1,430010,-1,-1,-1,546151,271954,284636,-1,504821,-1,591527,567513,116215,7075,-1,286179,145152,-1,-1,323892,677018,-1,515876,223307,608383,235519,869777,824264,959489,-1,-1,979876,970999,625583,-1,459265,-1,-1,-1,952380,-1,-1,960344,622854,61616,-1,-1,778338,374110,-1,816843,139315,-1,654503,752732,-1,-1,372063,503459,-1,386988,986263,740762,408192,-1,47767,777050,84685,276937,504921,-1,128497,-1,125321,-1,-1,484776,-1,993440,569456,-1,-1,142869,706069,-1,209564,-1,600647,387060,13497,659339,305976,-1,960612,212134,219924,76505,731609,-1,-1,-1,-1,126871,441721,914067,-1,298193,-1,403850,550334,34055,-1,314542,997045,-1,217428,892341,-1,256784,-1,692073,-1,271007,247637,859370,197570,-1,445709,-1,-1,-1,662464,-1,-1,-1,-1,-1,66042,733197,979209,-1,648420,160481,-1,-1,614551,86285,-1,-1,-1,780327,-1,427820,-1,780898,-1,-1,-1,424925,-1,575481,-1,927013,-1,840979,782212,360449,-1,203895,882140,863625,-1,-1,232545,-1,-1,984141,-1,60419,-1,-1,-1,-1,344785,788888,76442,47239,-1,483446,-1,-1,-1,-1,-1,-1,377763,-1,-1,380648,-1,724082,-1,-1,28248,-1,864406,-1,-1,-1,113232,-1,-1,69064,-1,-1,960641,-1,202333,284095,-1,-1,394168,104724,-1,830143,-1,-1,-1,-1,412793,529753,-1,-1,742137,-1,-1,-1,-1,-1,-1,348068,-1,-1,933542,296805,329604,-1,856742,880805,-1,-1,-1,197925,-1,-1,223575,476731,792381,753264,452976,191768,-1,336403,-1,412680,714181,715470,-1,-1,941338,-1,-1,-1,-1,317398,-1,-1,261540,264290,-1,912405,-1,950997,130215,-1,735979,-1,-1,-1,37367,737569,-1,-1,133618,-1,-1,-1,-1,210703,-1,-1,69464,859223,714227,-1,106707,538177,-1,752986,922245,319929,-1,928590,850917,446939,-1,-1,-1,50079,-1,-1,-1,318521,202757,-1,566966,-1,856228,134966,-1,-1,254049,43389,107589,-1,-1,-1,-1,-1,651357,-1,700375,-1,-1,-1,-1,-1,-1,647480,-1,480310,-1,-1,-1,211140,183433,-1,-1,98377,-1,-1,-1,581114,-1,389026,975402,-1,844707,-1,-1,-1,-1,552024,-1,430806,-1,-1,-1,-1,975789,-1,-1,-1,-1,-1,-1,752930,-1,-1,140131,-1,-1,-1,-1,-1,-1,661055,-1,-1,439003,757235,256395,233599,395595,214628,617517,230541,-1,603660,-1,159392,-1,561922,628293,682156,-1,154665,-1,-1,780660,505148,374592,-1,193182,-1,921760,-1,-1,314059,601379,441234,703365,-1,-1,569276,-1,138518,-1,308580,855397,-1,795206,-1,-1,-1,-1,-1,-1,157074,-1,-1,-1,-1,-1,-1,456968,288050,-1,-1,826014,-1,-1,-1,598690,-1,152340,888858,138921,372430,855241,897393,-1,679577,701070,-1,-1,812904,86306,-1,153521,724689,-1,37731,-1,596460,769730,-1,-1,2760,442235,-1,403029,-1,424127,982272,-1,-1,-1,187783,315450,609640,-1,-1,905317,771263,928545,182876,-1,610084,955599,147630,967589,-1,-1,9044,478737,-1,-1,582801,-1,-1,676153,-1,683900,-1,565208,-1,469222,716412,326457,-1,399095,657583,-1,-1,779153,-1,324684,605116,-1,-1,708517,-1,-1,-1,195048,-1,256670,162172,133814,-1,-1,660655,61488,-1,-1,-1,290832,-1,634363,-1,-1,-1,-1,101245,869642,-1,-1,-1,-1,562314,698843,-1,-1,263727,-1,657096,998987,-1,44671,-1,53261,-1,345053,-1,181228,-1,-1,206365,-1,-1,-1,524090,-1,724364,291434,600334,-1,749616,-1,626598,993024,613181,742923,975288,757177,-1,-1,-1,-1,-1,-1,-1,-1,120598,-1,197182,831827,393381,732502,889004,617771,684283,12700,603646,813211,-1,-1,-1,-1,-1,847427,436384,-1,1343,457827,-1,-1,-1,951664,298545,651424,534626,836429,-1,-1,-1,-1,37207,134561,-1,919137,-1,391075,-1,-1,-1,461858,555987,405602,-1,-1,414157,340955,368203,964572,-1,564373,976096,488738,824102,-1,-1,-1,-1,748145,921951,-1,-1,267600,166933,596669,-1,-1,918133,-1,91735,468992,-1,226765,-1,-1,364341,896578,650500,-1,321650,-1,847749,384712,845251,742451,236557,-1,-1,448647,-1,-1,73752,-1,705101,-1,899901,582304,-1,-1,-1,188917,799370,962992,-1,-1,477881,-1,864797,431718,-1,-1,-1,885142,166703,44276,-1,-1,384560,6238,192324,-1,799349,894872,-1,828487,-1,-1,-1,-1,349890,-1,597337,-1,501182,-1,-1,-1,3000,-1,105662,530002,-1,-1,664052,-1,754944,-1,-1,-1,149938,-1,390508,-1,-1,-1,-1,-1,-1,-1,384898,311956,-1,-1,547969,-1,262235,-1,-1,-1,-1,-1,-1,-1,983711,-1,677078,159556,-1,-1,732655,-1,4794,165792,-1,617024,-1,-1,389674,-1,-1,-1,-1,257290,-1,-1,-1,-1,99401,133153,170626,863323,-1,688662,-1,-1,388663,-1,314826,-1,-1,-1,-1,167539,-1,578621,840743,-1,737356,-1,187080,-1,786711,704337,-1,-1,-1,-1,-1,-1,527869,198527,-1,-1,-1,898814,-1,-1,-1,272817,137563,-1,784090,-1,656735,86969,-1,-1,-1,527590,972832,-1,393872,-1,796589,178645,-1,-1,33769,-1,261588,-1,278186,-1,425369,533455,915308,-1,243043,-1,-1,-1,666466,-1,576506,-1,508453,-1,-1,210238,-1,-1,-1,-1,-1,-1,-1,39806,-1,850404,582715,811667,275861,-1,867031,161158,-1,-1,844601,218344,707060,-1,994260,141935,-1,563977,466837,-1,-1,-1,287975,611471,-1,-1,278230,199205,297358,99644,737905,253145,-1,-1,-1,-1,-1,-1,208102,521340,937886,-1,-1,405637,-1,-1,918325,-1,362867,426492,87570,541184,924538,-1,819399,6287,-1,692404,603687,431478,-1,-1,-1,889327,-1,968162,-1,-1,-1,701447,416482,791486,51917,745211,-1,73982,422277,897082,-1,-1,-1,365026,-1,-1,305839,-1,-1,943361,198513,-1,818940,-1,-1,-1,-1,-1,834762,597525,180576,-1,-1,24991,-1,-1,798973,-1,649634,-1,-1,-1,490626,-1,354138,312179,-1,773866,314067,286750,608589,-1,-1,-1,968121,-1,-1,-1,433905,-1,-1,-1,247092,919450,500414,879571,584102,768312,-1,-1,407378,370701,341873,-1,835937,-1,390969,833406,896499,-1,849053,801323,758852,206722,61256,-1,-1,44897,850694,410542,-1,785385,229430,-1,299219,-1,854425,235398,-1,-1,-1,762519,219062,-1,769497,-1,881882,-1,207576,-1,-1,522448,-1,143710,-1,866720,-1,-1,74938,663876,-1,-1,587295,656741,513891,545227,587990,-1,597838,26321,-1,867328,-1,-1,-1,883790,306599,117120,538283,811226,-1,-1,165407,169414,490706,494483,-1,416608,150196,-1,217775,880153,828382,956165,350181,963358,-1,385084,24676,-1,834356,-1,-1,130671,-1,579816,147538,-1,-1,918795,594666,799546,-1,646699,459876,54606,-1,-1,268106,389567,-1,308682,255411,29881,-1,947014,51338,-1,-1,-1,-1,-1,-1,-1,743841,224397,-1,35833,934758,806366,995427,-1,-1,-1,5862,102200,-1,-1,-1,50038,538666,-1,-1,429185,406844,-1,176688,842721,302258,-1,867706,721579,238807,-1,375029,434646,-1,-1,228709,910486,417581,-1,-1,-1,267433,-1,126565,-1,136472,-1,478393,660045,-1,883596,-1,-1,263889,-1,-1,-1,814504,461242,325240,-1,989214,-1,-1,-1,468231,763026,386926,758388,-1,992750,-1,299120,-1,-1,301020,840084,229895,484844,52350,-1,-1,665760,141916,-1,794855,-1,-1,70688,542490,84763,-1,-1,-1,582842,-1,966421,-1,320386,83539,704531,938792,-1,-1,-1,269776,-1,516387,-1,476340,-1,-1,-1,-1,405963,503996,189398,328748,310819,-1,773266,102365,-1,-1,568086,-1,-1,-1,-1,70771,498145,903359,380849,845986,-1,181576,928223,123079,184135,725326,137816,-1,-1,919455,-1,-1,-1,318111,840394,-1,-1,-1,588837,-1,-1,-1,-1,988456,-1,-1,529798,-1,-1,827094,-1,449898,447799,931290,-1,46844,-1,-1,-1,-1,-1,-1,-1,472928,541359,458774,28655,345397,821108,-1,-1,471919,-1,-1,366862,329944,-1,190843,329657,-1,-1,380152,6705,-1,-1,340039,-1,340783,-1,296641,270065,-1,186345,-1,197560,738596,-1,-1,-1,819186,495469,433547,-1,-1,-1,944055,970317,85401,-1,909053,571533,-1,474989,187275,363007,379705,668589,-1,-1,-1,-1,540457,521971,376571,445675,534919,-1,754586,842136,912188,452454,915525,501454,-1,873796,-1,345712,-1,338731,999137,-1,924224,-1,243980,943357,-1,187300,-1,349977,-1,89771,-1,922168,-1,-1,428111,-1,48134,433747,693992,-1,-1,774580,945925,253589,438404,-1,-1,-1,389075,-1,904106,-1,-1,668990,766416,665897,-1,831262,423087,-1,-1,-1,860900,-1,392969,739401,-1,752966,871937,636177,-1,-1,-1,122873,-1,814597,-1,31211,-1,615705,293465,433816,-1,-1,-1,-1,-1,954116,-1,797461,553857,-1,-1,286496,964921,106348,977910,-1,440736,-1,-1,-1,-1,-1,-1,931724,-1,174119,-1,307542,-1,113009,695815,-1,-1,-1,274139,15179,803449,-1,562299,-1,-1,-1,88742,49669,-1,-1,-1,749945,-1,333324,557569,51466,615311,77573,-1,697221,446155,-1,424173,-1,-1,996537,486623,863166,426906,388342,23595,697770,5858,498514,928548,575833,835,691289,22788,-1,-1,-1,923276,354247,628091,-1,832944,-1,-1,671952,909157,-1,340424,149106,24336,-1,394793,628579,-1,-1,264171,-1,-1,-1,-1,193052,-1,527215,96361,-1,-1,323772,-1,-1,-1,927309,-1,524642,714873,711483,9957,-1,474788,-1,-1,514891,-1,964272,-1,670263,276037,-1,-1,-1,-1,-1,-1,-1,-1,647112,843515,766483,-1,37992,840683,-1,-1,653757,-1,-1,-1,444499,346662,373555,-1,494864,-1,-1,726101,-1,539916,971515,227569,-1,282934,-1,433016,3522,-1,497505,-1,14122,-1,-1,-1,-1,-1,374293,-1,-1,162904,880939,474678,680067,130557,-1,811251,-1,950090,-1,653096,-1,-1,860452,513137,-1,-1,-1,992961,-1,-1,-1,373043,-1,-1,-1,659910,758379,-1,-1,45463,-1,406528,-1,-1,-1,12914,155327,838484,164763,-1,-1,431016,-1,855220,-1,233385,117985,-1,116493,132170,362869,671406,-1,428042,-1,908340,-1,-1,-1,-1,116992,489815,488807,-1,-1,363687,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,313082,-1,449781,-1,-1,-1,944110,-1,354367,299549,-1,145421,853105,651727,483449,-1,675213,723797,42539,-1,-1,-1,429928,-1,773663,-1,20357,271488,-1,864830,-1,491581,942827,-1,-1,-1,-1,593667,-1,-1,-1,201719,262343,536760,-1,347903,-1,786044,859974,-1,-1,158077,-1,-1,-1,899786,-1,160613,-1,-1,-1,799780,-1,958226,879398,368166,247480,524845,10940,940712,-1,559564,57687,-1,155479,-1,-1,457017,758705,-1,288389,986553,426550,161470,-1,776818,-1,505676,952212,-1,136802,-1,470049,872164,791220,-1,728291,95388,-1,-1,485053,-1,-1,972698,-1,589302,331743,-1,-1,447084,646301,858726,-1,475125,-1,705024,-1,718570,-1,483768,989640,950137,-1,-1,73104,-1,261855,745122,845642,283697,660725,-1,-1,-1,-1,-1,-1,-1,324913,32293,351875,-1,-1,839561,598607,-1,-1,-1,136077,-1,-1,443082,613567,385968,-1,-1,157034,-1,749116,-1,-1,-1,119572,568388,-1,284972,53697,431025,745128,-1,989541,434166,-1,-1,-1,-1,-1,-1,-1,762991,-1,946622,654519,-1,-1,633096,302252,535150,-1,546284,-1,525286,728831,303326,769266,-1,-1,477336,-1,-1,-1,5593,-1,926936,561629,-1,-1,-1,-1,56556,-1,453955,99841,-1,685943,480362,44363,378026,-1,-1,228227,-1,-1,-1,-1,574734,981771,-1,493984,-1,715945,811337,283771,910830,140243,293709,72649,810717,361865,-1,-1,-1,437253,-1,291841,920696,894433,-1,-1,-1,268292,-1,-1,425470,659271,681785,670207,-1,207146,48605,906280,-1,-1,-1,-1,-1,633891,711864,-1,56318,281891,130029,540342,-1,308274,-1,-1,677527,30231,356159,-1,831443,-1,-1,-1,238500,-1,-1,588140,-1,926497,-1,-1,-1,374700,877005,-1,-1,-1,-1,-1,-1,-1,221701,291600,686507,300712,-1,-1,-1,859191,557754,523329,134684,651392,-1,238758,-1,664309,513090,-1,-1,-1,125630,387346,-1,-1,-1,840618,-1,-1,-1,950040,661110,109665,-1,-1,-1,632084,-1,-1,739679,-1,695558,-1,-1,860551,-1,-1,-1,848711,-1,-1,570646,-1,-1,-1,24732,219700,-1,2120,-1,-1,-1,-1,935190,-1,-1,411658,-1,895069,190682,-1,-1,-1,918684,-1,117453,-1,-1,819010,960135,-1,449664,753542,364189,847500,-1,687394,-1,-1,801299,-1,945036,-1,941760,-1,-1,-1,132131,-1,687102,-1,-1,-1,-1,-1,273878,-1,-1,108992,243160,241677,-1,98946,-1,-1,-1,701921,-1,-1,693530,555769,330290,749386,209827,-1,712752,-1,581561,-1,-1,952258,164875,216538,-1,183527,798153,-1,-1,-1,-1,720846,-1,-1,-1,-1,-1,138959,-1,-1,-1,304303,-1,-1,-1,-1,864653,-1,636821,913239,-1,-1,-1,994051,704191,-1,909744,804668,-1,-1,-1,682316,452817,420076,-1,355919,59840,948392,533025,311524,-1,309230,441209,168230,-1,-1,-1,-1,874877,345794,-1,987765,-1,-1,367154,87855,724057,46152,999894,-1,601602,104152,-1,-1,636865,539627,435034,886595,354334,95864,36840,-1,303402,-1,226289,-1,86369,-1,-1,-1,-1,404765,788722,-1,458727,333464,-1,741581,29052,-1,-1,574011,476624,-1,473258,181594,431646,-1,682832,-1,378307,-1,-1,-1,659086,97017,194801,-1,202611,326500,-1,254856,-1,-1,335084,811753,-1,-1,-1,-1,-1,-1,-1,184669,-1,-1,-1,-1,100444,-1,668513,-1,-1,-1,70119,-1,-1,307259,-1,587809,-1,-1,770852,-1,-1,127790,255333,-1,831921,9731,600422,-1,-1,-1,503436,397677,873976,197947,-1,-1,365713,-1,205441,-1,278077,937656,232072,-1,-1,888187,-1,-1,778243,340862,-1,12124,926953,685348,-1,-1,452532,512905,-1,-1,535470,563447,951317,-1,409209,601138,731981,-1,-1,-1,7909,294171,-1,-1,541962,379358,-1,328824,949885,-1,764981,642827,-1,324300,-1,-1,963076,-1,252898,158480,859658,428693,459308,302702,-1,-1,2716,211238,-1,435673,-1,-1,531183,780783,632871,-1,472593,369771,140838,-1,434953,736714,61395,569690,601990,194146,-1,-1,-1,-1,75742,125864,-1,-1,-1,-1,935373,-1,-1,315072,713589,-1,32665,-1,-1,-1,641263,-1,691849,-1,-1,57566,-1,682681,-1,-1,344284,992647,538005,592744,947260,-1,345828,-1,-1,433150,-1,632010,837518,537156,567975,540694,710106,468310,567623,-1,407151,-1,-1,-1,924869,976468,457268,-1,477885,-1,-1,-1,646534,529367,-1,-1,-1,-1,-1,-1,417582,-1,462189,906804,-1,-1,-1,520563,262655,-1,626916,750165,808547,-1,-1,-1,230394,-1,-1,-1,-1,664060,24219,474089,283159,-1,-1,61008,551674,215798,285290,-1,-1,-1,-1,790534,-1,751015,649728,-1,791587,732076,-1,-1,10780,545479,-1,-1,901075,484235,664711,411538,998870,-1,719214,-1,-1,976828,826018,-1,-1,679369,827894,225292,-1,-1,-1,101230,203340,469614,-1,-1,-1,-1,-1,225435,33407,15928,424595,72958,-1,-1,-1,123338,102121,922550,24157,-1,542820,819272,293140,-1,138796,434418,-1,192690,-1,889673,-1,523980,878933,-1,-1,-1,-1,-1,106411,-1,-1,-1,635434,613882,272393,61660,419312,-1,-1,-1,151293,111284,860573,653829,744063,-1,-1,-1,827618,577040,392780,278445,601198,774880,814118,-1,-1,-1,-1,609473,254767,593536,-1,982565,359573,-1,-1,608779,-1,-1,-1,-1,405552,-1,-1,-1,-1,-1,987483,-1,646635,-1,-1,231401,-1,-1,-1,-1,670015,-1,757444,-1,-1,868470,495505,-1,-1,-1,-1,-1,-1,-1,-1,-1,474451,-1,-1,131886,145824,-1,-1,229053,971953,750810,-1,54862,289374,-1,868595,602218,-1,862150,75144,-1,112169,-1,-1,-1,-1,-1,-1,989486,161594,-1,453618,293515,-1,-1,-1,-1,25096,59982,219157,-1,-1,-1,962390,613373,982986,-1,548989,304745,148434,-1,106350,-1,603961,-1,-1,511633,-1,-1,465430,678082,675889,468395,465989,-1,732217,-1,-1,899594,-1,-1,525274,-1,-1,-1,303709,-1,711524,-1,-1,502639,913946,-1,992425,86307,563422,761972,-1,242690,-1,565946,536962,9329,-1,-1,33965,-1,718613,-1,-1,-1,608196,650165,-1,-1,-1,339086,964541,179770,151998,218598,787470,-1,778624,-1,-1,34006,849060,-1,382151,-1,-1,28866,-1,-1,-1,-1,-1,721887,371501,-1,-1,-1,-1,565150,-1,659861,679936,498695,331874,-1,713970,836721,23286,-1,270663,51654,-1,-1,254397,408502,-1,269733,782511,-1,133894,217821,973506,-1,992236,-1,377745,504758,-1,390658,-1,106037,384455,-1,147723,-1,573789,21715,677629,-1,128692,209764,-1,-1,-1,243995,341632,-1,-1,486836,726405,49073,-1,189820,951089,913612,-1,243964,562969,520876,788917,-1,378118,-1,-1,-1,-1,-1,265784,-1,-1,671113,951022,-1,972771,-1,-1,389473,-1,-1,-1,233440,-1,77303,486835,-1,-1,-1,-1,-1,-1,982220,-1,-1,-1,705149,-1,102790,-1,-1,827089,438343,716588,-1,551504,-1,930108,850746,426431,866835,313678,374319,-1,135976,-1,395777,-1,92585,-1,928664,-1,579515,-1,-1,959676,805879,-1,-1,638221,-1,-1,-1,-1,-1,24725,674660,27185,209736,-1,-1,-1,-1,-1,-1,89967,-1,868814,-1,-1,-1,706263,-1,868257,260002,-1,-1,874140,129129,-1,-1,-1,-1,-1,788862,726173,-1,231531,-1,-1,409561,-1,-1,261938,149377,536206,104425,74484,-1,-1,246563,633813,-1,-1,-1,828235,-1,226490,291182,-1,731807,-1,30511,269444,515708,778411,50952,-1,230742,-1,-1,-1,-1,307716,-1,-1,513233,533643,261534,-1,-1,-1,589589,-1,114643,-1,-1,337500,521132,-1,-1,203761,252983,442860,33102,-1,463036,378221,-1,332809,907440,613428,-1,-1,-1,-1,319239,-1,-1,68395,989381,-1,-1,753472,191149,-1,-1,279738,-1,-1,270015,-1,737133,-1,980004,-1,-1,330582,-1,893809,-1,-1,-1,307850,451091,-1,-1,206895,624066,61674,56230,-1,-1,733936,845501,-1,950217,-1,-1,946326,749922,-1,-1,867465,747423,745147,217568,309715,978764,-1,-1,-1,-1,-1,643803,-1,-1,398503,-1,123231,-1,-1,-1,434007,-1,-1,472038,-1,208084,-1,696572,-1,-1,935083,-1,441272,919258,679558,-1,-1,-1,857260,-1,-1,960377,-1,-1,796370,413110,-1,199961,-1,-1,81135,-1,-1,44824,-1,194577,-1,642372,859122,-1,561603,155867,-1,-1,-1,-1,-1,-1,860650,752763,-1,-1,419741,953144,755771,-1,-1,168563,48858,-1,604907,12653,-1,666614,-1,695682,-1,379156,778121,-1,-1,125268,658160,110290,273788,105101,793975,-1,-1,990621,-1,-1,902971,523451,436913,235624,-1,-1,-1,-1,993022,115727,211014,341428,613913,-1,736284,820184,558126,-1,-1,192763,952833,430185,-1,-1,-1,-1,-1,-1,41979,-1,-1,106902,-1,210221,313823,-1,-1,-1,-1,-1,176917,993210,532494,66182,733473,-1,130972,929013,499227,-1,-1,-1,-1,-1,515144,-1,751832,424665,207166,647684,447360,-1,-1,-1,594197,888367,-1,-1,788440,393044,-1,345929,-1,-1,-1,-1,928719,949996,-1,979678,-1,278270,-1,-1,748317,-1,910115,-1,-1,-1,994163,267062,-1,-1,-1,973883,-1,724826,-1,-1,-1,-1,-1,693054,726285,398849,969199,-1,610982,119014,-1,962105,-1,-1,-1,78802,-1,294997,-1,519730,-1,635507,-1,-1,114611,-1,-1,144716,-1,903146,-1,-1,-1,188596,-1,-1,788257,-1,-1,425893,-1,646966,-1,-1,-1,980698,907622,498259,-1,440789,48217,520730,-1,-1,424977,-1,482831,-1,663596,496514,568337,-1,597922,-1,583783,-1,762609,-1,-1,640428,-1,425324,604161,798297,-1,-1,-1,804422,936562,423507,564905,-1,-1,-1,924850,910391,129117,-1,-1,305199,-1,3012,-1,271601,820739,-1,689148,309056,-1,-1,127022,44782,129836,-1,-1,-1,-1,-1,49406,725518,-1,507252,798771,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,618307,872540,-1,-1,-1,810380,-1,-1,436072,-1,736388,-1,-1,88709,-1,-1,-1,-1,35758,678961,686919,-1,410503,579447,99417,857715,-1,-1,-1,-1,720742,686124,-1,-1,818032,211868,715747,-1,-1,823564,746311,-1,997978,-1,-1,605510,393468,385850,69616,914227,-1,565174,-1,-1,-1,-1,-1,690567,245178,-1,-1,916911,621866,605541,415947,207478,-1,-1,-1,-1,-1,479680,449869,397533,-1,-1,-1,80200,-1,-1,868509,563431,84086,-1,354761,-1,-1,533780,-1,722796,-1,212776,616983,-1,892618,-1,895298,-1,-1,664097,-1,799991,829900,676600,-1,341492,-1,-1,-1,-1,-1,-1,612440,-1,-1,52652,-1,-1,789082,181649,839258,17542,752198,-1,743569,-1,-1,-1,-1,-1,325313,-1,286244,682729,-1,19844,634228,-1,-1,-1,-1,985976,856781,-1,468681,-1,-1,49650,116505,655651,837179,656719,952164,-1,-1,-1,-1,892920,-1,-1,-1,756829,-1,-1,667270,-1,-1,-1,831980,933730,-1,-1,-1,-1,-1,762997,-1,-1,-1,-1,267957,-1,672828,44114,206480,7825,583187,690593,-1,121444,-1,-1,-1,-1,162263,-1,-1,294337,-1,-1,682884,-1,-1,-1,155111,-1,-1,139244,267866,639118,490247,767910,-1,686041,-1,-1,-1,-1,-1,339382,772628,-1,-1,-1,941580,471066,-1,-1,-1,-1,412910,-1,929354,-1,56551,-1,-1,-1,812518,-1,958143,-1,-1,902462,597944,354516,-1,855000,301493,-1,758481,-1,-1,-1,-1,-1,627894,79360,-1,640774,966756,954496,-1,137234,-1,566159,720517,986823,677576,-1,638961,-1,-1,193372,-1,366554,-1,-1,227720,-1,55821,-1,457554,719912,577309,-1,996997,329200,981952,423455,-1,781877,-1,-1,-1,-1,-1,751107,455118,311598,3447,36667,-1,-1,-1,97406,-1,-1,831174,892890,-1,570507,104755,-1,421375,-1,-1,-1,-1,994987,910624,12333,273393,-1,132586,51614,691454,553615,529331,-1,-1,713371,318014,-1,937222,628911,-1,106519,840468,206747,-1,-1,874402,-1,207919,-1,-1,550056,-1,-1,-1,12215,-1,-1,922371,-1,-1,560699,814479,-1,-1,-1,-1,-1,-1,499173,421790,102731,856520,-1,-1,-1,-1,-1,754255,-1,-1,977406,-1,-1,964877,8918,349793,-1,951702,-1,-1,704900,-1,-1,-1,-1,-1,326263,-1,-1,276708,272170,-1,392269,328309,338923,343304,979202,910165,-1,165517,-1,-1,120387,229,-1,888709,-1,-1,-1,107016,928745,-1,289394,970050,864557,766947,936012,534382,227842,787938,-1,18129,-1,-1,-1,-1,-1,745999,-1,776716,-1,-1,520675,-1,970216,-1,-1,-1,7534,-1,633720,488492,169686,-1,232059,-1,-1,917068,-1,-1,-1,-1,404068,506047,364462,-1,-1,967447,493801,-1,675691,684051,277164,-1,967671,744544,-1,-1,-1,-1,632237,789240,88635,120073,-1,874392,-1,544575,-1,-1,674278,313992,-1,896735,-1,-1,39668,139611,943484,-1,-1,-1,643407,-1,-1,-1,232366,262686,877726,-1,291416,557613,142459,-1,-1,199520,64498,-1,-1,158728,682151,-1,696563,448159,94821,352344,287779,9280,438182,-1,-1,-1,757502,-1,616991,-1,440366,270703,-1,397882,833399,372184,-1,862272,429629,905483,388392,-1,698264,-1,-1,-1,-1,287170,253590,196211,808253,-1,864865,-1,-1,-1,307403,125569,634261,-1,346861,-1,-1,11948,-1,964552,595818,886577,175654,-1,-1,617693,375682,167601,-1,-1,584024,-1,-1,-1,-1,-1,141359,-1,463508,-1,-1,-1,-1,129817,-1,933746,-1,-1,-1,577486,-1,-1,-1,-1,-1,546840,-1,189087,585080,431926,429042,342540,-1,-1,32786,501031,-1,-1,-1,39892,64540,-1,-1,143300,-1,-1,864012,-1,-1,-1,535265,-1,661531,-1,-1,504054,-1,198642,763643,631240,-1,-1,-1,98678,-1,-1,641996,-1,446152,-1,-1,-1,182967,-1,-1,-1,46973,-1,-1,292769,-1,-1,720,-1,69095,627130,390479,176830,-1,994866,568753,927712,22459,764570,549893,417251,291438,-1,312239,988200,-1,278989,-1,-1,940873,-1,-1,487543,647358,-1,-1,551607,-1,-1,693667,493703,630957,981750,42838,972179,-1,745692,283448,424435,792963,77624,-1,486053,251619,-1,-1,-1,-1,98306,-1,595607,-1,-1,-1,898883,1561,-1,-1,424714,-1,159682,-1,-1,-1,512718,-1,-1,-1,-1,611642,-1,-1,-1,-1,-1,-1,813268,-1,173706,-1,888659,-1,-1,197339,979498,-1,-1,-1,-1,250127,979014,-1,-1,-1,-1,-1,153753,-1,435697,770399,470432,-1,551653,-1,-1,-1,471305,-1,338554,883381,52487,736222,-1,-1,314883,247288,-1,-1,-1,-1,-1,390729,275538,339472,-1,182068,686073,828698,682673,-1,-1,-1,339031,-1,978194,-1,-1,45299,921240,630254,734019,571188,472321,313883,-1,551224,109463,991605,-1,636996,-1,-1,215197,-1,399474,46036,548315,-1,804386,717134,-1,-1,-1,-1,685715,802187,-1,368827,-1,-1,-1,-1,565981,-1,-1,324373,-1,682183,834081,144763,203801,-1,492256,595451,388617,-1,-1,209787,-1,-1,-1,-1,67331,200493,22286,380721,801599,-1,526929,608033,-1,815145,943307,-1,267429,430332,-1,223628,-1,110940,637883,-1,-1,360981,254536,247747,861712,684398,112746,351890,-1,-1,-1,859904,-1,114491,-1,-1,396894,176206,-1,-1,694627,332692,374423,404459,-1,-1,899951,484266,720004,986031,-1,514905,164591,444625,-1,-1,-1,-1,331217,25781,-1,399734,5556,840267,348920,-1,715052,787382,240119,-1,-1,128761,-1,951795,-1,-1,651748,-1,-1,-1,902858,-1,-1,-1,-1,360591,-1,474378,-1,390129,333863,-1,-1,-1,-1,127699,124248,-1,-1,84006,764471,325687,677799,-1,265013,-1,384072,-1,463611,895161,963296,331084,-1,95339,-1,-1,383694,35485,-1,-1,-1,391959,-1,-1,-1,157197,-1,-1,629208,733983,-1,-1,753874,475880,-1,-1,808326,-1,382744,253396,937472,153029,293696,-1,-1,225228,-1,964442,293784,426371,-1,574356,103910,94168,-1,-1,312408,-1,-1,-1,-1,-1,-1,987462,429650,-1,699373,-1,-1,-1,558034,-1,-1,731635,80542,794654,-1,529732,-1,-1,-1,251213,-1,756699,-1,562338,-1,895152,869316,680511,-1,57061,-1,554470,402371,-1,293545,-1,739440,-1,732553,509620,-1,196672,-1,556246,426027,274060,-1,-1,815023,699189,-1,696707,-1,-1,-1,-1,968541,655692,31468,207019,-1,664527,-1,242705,598602,-1,-1,169125,597056,-1,942362,880993,299909,890103,-1,813426,-1,-1,953188,-1,-1,452164,386804,942091,608537,-1,72553,-1,782107,809719,-1,-1,150663,75127,264038,806158,-1,-1,424684,-1,-1,588420,-1,280505,-1,739062,-1,392003,-1,161601,138167,715565,734953,-1,263187,-1,-1,-1,-1,-1,-1,5082,364763,-1,912747,167824,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,310795,-1,-1,-1,497569,-1,-1,-1,548504,-1,-1,261555,290849,-1,216540,636997,-1,429062,-1,946308,763565,-1,417296,-1,-1,975298,-1,638833,-1,-1,-1,972758,431167,-1,170650,-1,-1,-1,420176,364882,-1,-1,-1,849183,360746,824879,420450,-1,888644,156319,273760,309629,-1,-1,-1,-1,-1,38064,486035,-1,337260,-1,711819,34791,704077,-1,-1,-1,100296,437416,307096,919063,425177,587858,-1,-1,-1,870269,-1,-1,-1,-1,-1,-1,-1,432690,98928,512705,509904,488915,486023,-1,457315,-1,-1,111444,215157,888681,-1,-1,415567,561537,-1,-1,269962,-1,502141,-1,-1,-1,-1,916597,-1,54225,444689,196882,556578,822873,-1,599281,771100,-1,-1,125149,-1,-1,136885,-1,-1,-1,-1,258432,-1,853671,-1,397371,-1,-1,-1,-1,-1,726888,-1,6058,923492,190460,711155,-1,-1,827385,729382,885881,51503,-1,381263,980545,-1,-1,-1,-1,652834,25150,716249,-1,-1,-1,-1,161495,-1,-1,-1,235983,168502,229316,383629,66390,277736,383092,989031,672921,-1,-1,509157,779957,-1,102260,60530,391310,-1,147796,-1,788535,-1,-1,-1,22352,331677,-1,773402,426788,-1,-1,-1,187792,-1,248447,-1,-1,769602,592864,34029,-1,-1,971532,-1,-1,876145,620186,-1,816032,204670,634235,-1,462585,210507,47133,-1,337984,-1,-1,-1,-1,876832,189869,-1,-1,999750,112587,212664,-1,207365,933030,-1,-1,277209,238511,-1,586913,701758,988036,-1,7441,773293,-1,182758,-1,-1,-1,358464,437396,-1,241952,-1,-1,-1,3082,568630,602295,673594,-1,561048,959471,-1,-1,320677,511712,-1,-1,201424,331095,652921,97998,893228,-1,-1,912148,73787,212136,708294,-1,-1,954286,57559,64169,178788,-1,124575,886118,-1,-1,617310,747607,-1,763690,947626,-1,684089,-1,-1,294957,832043,-1,-1,691460,823327,687491,-1,179153,203719,-1,-1,-1,444171,901106,648941,-1,-1,930247,464847,-1,-1,356491,465888,546949,918437,891990,-1,-1,367073,585931,607958,-1,-1,-1,681140,-1,665082,-1,968028,113523,-1,622304,25511,-1,154856,601651,-1,-1,446218,-1,58649,271441,599046,-1,-1,-1,-1,-1,-1,-1,561136,-1,122612,-1,463012,-1,-1,-1,-1,337064,-1,364666,912021,116914,288689,643451,950339,111297,-1,-1,496609,-1,485541,736845,80809,664807,626104,106217,373396,-1,215318,-1,-1,819710,395422,691851,-1,-1,-1,612327,-1,813986,-1,-1,-1,-1,-1,615563,-1,-1,965973,-1,-1,706832,496423,624177,-1,-1,664861,-1,-1,903211,-1,-1,575222,-1,-1,-1,82220,-1,248691,301173,633899,489771,-1,-1,-1,-1,-1,-1,-1,-1,-1,494073,915965,-1,70760,561976,199396,296526,621863,863016,507441,-1,-1,841511,-1,128583,-1,-1,-1,153307,-1,-1,-1,-1,-1,-1,-1,-1,994299,-1,199621,-1,550033,-1,-1,636537,775321,-1,778856,-1,349088,-1,-1,994435,698973,879000,865502,-1,-1,598474,915184,123455,281406,-1,-1,-1,-1,-1,-1,503929,530236,911364,-1,643740,868393,-1,-1,682419,-1,939854,662102,-1,160808,236988,-1,-1,212934,-1,-1,-1,-1,172694,165515,380593,-1,805203,235213,357559,750284,-1,-1,-1,547652,-1,-1,-1,-1,-1,187937,324887,-1,858431,740241,-1,767786,767257,-1,874180,-1,-1,-1,-1,228925,-1,954702,-1,-1,545054,-1,118439,54683,-1,-1,729258,123576,-1,167834,866420,-1,946665,-1,-1,60980,-1,-1,348774,-1,510250,-1,961495,-1,-1,468247,90359,239765,-1,354937,-1,153918,773193,543533,942820,213334,552181,-1,-1,167256,635807,-1,904418,409394,149084,604971,-1,242486,661822,-1,-1,-1,-1,767378,951134,-1,674731,441672,-1,504355,-1,-1,977314,-1,343804,-1,150319,716631,868285,-1,-1,1770,726972,179274,274356,-1,903972,29565,-1,817671,744423,399083,-1,890047,992594,665824,36441,-1,755817,-1,-1,-1,174994,865655,-1,-1,-1,-1,-1,559181,650736,162468,-1,917923,-1,807181,-1,655398,899394,494838,648474,280572,282536,-1,-1,-1,-1,957033,833712,422675,226894,41866,601170,-1,664487,348493,855288,-1,-1,478109,678044,-1,-1,861413,-1,-1,990568,-1,-1,-1,-1,-1,-1,408405,931106,831111,-1,-1,339823,538603,100783,-1,463327,523110,-1,509329,113534,-1,-1,-1,794896,108521,270261,971388,300324,291921,815670,136199,211380,-1,-1,-1,-1,987117,925354,-1,-1,152416,882922,602596,553136,-1,549531,23775,348108,131459,-1,-1,-1,131290,151385,243452,-1,869819,-1,313906,-1,216869,277607,390805,360328,92126,554408,-1,-1,-1,-1,-1,-1,305915,-1,-1,-1,-1,564033,444732,295441,232095,988955,873883,145584,-1,670728,-1,-1,-1,-1,739596,754558,-1,210793,962169,-1,398827,-1,124485,-1,32085,-1,187134,743682,771854,-1,435664,-1,907014,680802,606437,-1,-1,490761,-1,-1,417564,279393,7178,100170,-1,252973,739081,380428,927155,163361,416446,134192,608886,-1,891193,974708,174915,-1,-1,840261,-1,843516,-1,698175,51955,66716,-1,-1,89169,-1,173323,263517,920809,189973,-1,-1,-1,92813,-1,916289,-1,-1,-1,-1,100197,-1,-1,14846,625146,136269,-1,779937,-1,-1,95832,780642,202635,-1,-1,813098,826364,-1,-1,468487,678596,361240,412059,-1,-1,128838,915501,656991,-1,431814,-1,932138,724186,-1,670251,337846,201345,-1,227319,832580,848390,-1,-1,594198,-1,808632,725684,-1,-1,-1,-1,-1,707438,-1,221608,67730,351332,363182,937825,-1,388103,-1,-1,-1,387906,224723,890586,166017,683407,499865,-1,118745,192533,361523,-1,-1,703607,-1,56122,-1,46123,-1,584593,199023,173752,-1,523520,757922,-1,-1,504160,701588,-1,-1,-1,355545,452993,-1,-1,628657,119442,31663,787568,161406,373034,-1,-1,-1,322346,-1,652261,803881,-1,-1,-1,36836,-1,-1,33762,194875,39901,868989,-1,-1,-1,-1,46034,661933,-1,990895,666840,-1,271639,12314,-1,381821,687329,985926,828964,34936,-1,706915,684954,935439,630422,-1,-1,82024,323877,129429,-1,329953,-1,-1,922770,83137,-1,901152,-1,-1,-1,785199,-1,564287,235140,241001,-1,869254,-1,104215,679953,-1,134532,-1,-1,391626,-1,693256,-1,831380,-1,-1,-1,612017,-1,135398,230195,-1,441903,-1,-1,-1,-1,405233,842184,967968,-1,301621,254349,-1,503113,-1,-1,-1,-1,42618,852425,-1,126994,-1,-1,865399,69347,-1,-1,-1,-1,627300,96320,-1,-1,128208,-1,420294,-1,-1,-1,898484,-1,499523,-1,-1,-1,125655,866225,832641,778188,-1,-1,-1,444022,-1,-1,632759,-1,-1,-1,-1,869319,-1,757554,115462,893378,463574,-1,-1,129942,453790,-1,-1,-1,621024,656614,-1,-1,-1,899807,376713,-1,431829,-1,-1,933422,-1,455560,179325,-1,-1,-1,-1,801818,-1,-1,-1,430276,493318,85358,-1,473071,-1,674832,518988,809144,306930,-1,-1,235170,-1,201072,-1,-1,312072,-1,677723,-1,146300,381146,-1,981138,-1,-1,24751,82545,-1,-1,-1,-1,-1,726651,559913,225806,532433,204390,762950,-1,162499,864928,-1,-1,961711,-1,709836,-1,50126,-1,-1,-1,522968,442998,797945,873310,189039,629454,-1,312756,525905,619668,-1,-1,-1,-1,362526,867007,642124,-1,427748,667388,843847,-1,857186,290096,683415,-1,4159,967069,456354,907684,5448,410416,267795,-1,253160,326166,-1,2102,413236,-1,-1,-1,-1,-1,-1,-1,-1,-1,194955,-1,370601,706667,534215,-1,-1,-1,278635,516767,709484,-1,-1,481791,250455,998155,231922,736716,-1,683500,-1,-1,-1,-1,-1,989705,-1,-1,-1,-1,555299,391817,61825,-1,-1,471808,-1,704335,-1,14546,599287,-1,239803,717356,71618,-1,758012,-1,626743,436020,-1,404398,341546,-1,-1,-1,118479,-1,736565,455632,-1,584338,-1,225546,-1,441786,234490,875905,-1,798333,-1,-1,-1,-1,-1,-1,724171,947079,758188,-1,990646,-1,106122,-1,135714,810081,-1,-1,-1,-1,-1,-1,58976,-1,200479,-1,-1,-1,737719,-1,429396,687565,813006,286113,-1,9752,-1,126159,568833,813656,247015,-1,-1,654842,-1,454411,869919,489621,-1,-1,167026,196496,-1,-1,129630,419570,-1,-1,153757,-1,628731,817740,-1,322245,983637,879093,37447,-1,550077,573004,-1,504472,748505,865623,733199,280976,600469,459152,-1,-1,699907,34093,724581,-1,458138,-1,405245,-1,-1,-1,-1,55211,-1,396722,-1,375692,167107,725194,-1,-1,899257,80946,599717,-1,-1,667731,-1,752078,-1,838764,-1,60343,621404,-1,-1,-1,-1,-1,-1,-1,558361,64309,36879,644353,640549,-1,-1,-1,234139,462574,-1,689214,-1,534837,-1,-1,-1,948150,-1,246236,-1,-1,218642,714897,465735,-1,442255,-1,-1,705666,-1,-1,563117,-1,51959,-1,4460,-1,168267,462408,45355,-1,-1,151564,167344,556974,428194,882941,-1,757643,373162,508655,287615,-1,134417,-1,150502,-1,434642,-1,-1,-1,-1,317101,404649,936152,721211,906264,-1,765411,-1,-1,-1,-1,333025,326562,-1,-1,-1,-1,637816,944986,424789,609077,-1,725799,-1,355453,450832,148495,163550,-1,384315,-1,-1,-1,-1,921045,508575,-1,97138,-1,-1,721285,-1,-1,-1,-1,-1,-1,412976,-1,640521,394548,-1,-1,-1,397293,-1,-1,2162,27156,-1,288996,720467,-1,380328,627766,867572,-1,72269,255225,561370,-1,-1,48728,735458,-1,-1,-1,790019,998581,287671,-1,-1,-1,-1,-1,-1,548008,-1,237746,-1,274831,692325,-1,900432,-1,305283,203574,-1,-1,250205,-1,-1,872549,873788,298016,947798,778589,-1,-1,416285,656264,928637,-1,-1,-1,514444,-1,938411,-1,-1,-1,796551,896609,-1,183700,891853,-1,844719,949936,-1,-1,847597,870650,772615,-1,-1,-1,-1,157170,-1,-1,-1,-1,-1,-1,-1,542071,415469,-1,-1,381228,328457,-1,-1,-1,-1,-1,-1,-1,100160,630242,-1,691276,-1,-1,883365,-1,873548,-1,564772,-1,-1,997348,217300,543463,-1,883816,434493,-1,-1,111201,577487,639509,726097,-1,-1,-1,-1,677578,-1,628413,631922,456002,584520,-1,106296,353334,49484,-1,-1,-1,-1,-1,568921,431359,-1,-1,-1,881893,644877,-1,628714,-1,-1,-1,-1,-1,482197,889950,-1,-1,-1,-1,974611,833980,172388,455250,881568,563193,186713,-1,673260,77991,579244,-1,-1,759935,-1,-1,-1,-1,794505,-1,-1,53909,-1,-1,-1,329305,-1,941285,489433,373017,383498,726014,775533,-1,-1,471655,-1,-1,-1,-1,-1,-1,445644,406532,137664,672608,-1,618190,-1,-1,533280,-1,453894,-1,-1,-1,-1,866826,982201,-1,-1,-1,-1,-1,-1,-1,55684,-1,-1,-1,-1,-1,967057,139548,337752,709635,741340,-1,-1,789289,-1,567818,-1,365573,408132,370586,-1,866654,-1,-1,-1,-1,-1,510772,-1,494474,586158,-1,134884,905030,-1,621927,325917,-1,388551,-1,-1,24246,923812,271094,-1,-1,-1,660109,-1,-1,769870,-1,283322,-1,370979,-1,-1,-1,816899,794778,160389,-1,947509,11991,986961,699154,-1,907253,436157,-1,660372,-1,107743,371339,-1,-1,177247,523000,-1,-1,632360,-1,-1,-1,218200,818844,673331,-1,120393,840447,22008,-1,16785,957303,-1,-1,-1,-1,86640,913711,-1,-1,282341,834163,-1,454681,159892,-1,392477,-1,-1,-1,-1,675643,-1,336246,-1,-1,-1,673721,-1,645236,206361,854711,-1,482440,709234,-1,-1,129007,-1,-1,-1,153522,-1,497051,-1,-1,-1,777057,385961,-1,-1,-1,-1,-1,694249,-1,-1,48548,-1,189603,983429,243697,672653,18480,-1,303015,718851,-1,-1,-1,-1,544538,-1,741497,887221,980901,-1,245113,786455,-1,-1,-1,361790,367881,19519,-1,820938,-1,775417,-1,25009,-1,807881,414521,-1,341394,408352,-1,353630,20682,689977,138246,105688,-1,635514,-1,790574,568528,-1,-1,845191,-1,782622,405027,-1,390926,-1,-1,-1,-1,-1,-1,300707,184639,-1,-1,643321,-1,869537,496090,88897,-1,239002,-1,-1,133527,919155,400246,142,328444,-1,733932,-1,626105,434826,-1,-1,989460,773464,-1,-1,863136,533603,624487,416894,305384,-1,755497,-1,260784,-1,959842,-1,-1,-1,-1,-1,314213,495011,-1,597282,-1,225631,479176,-1,643084,398723,156125,369997,943118,-1,258641,-1,581202,-1,454451,-1,-1,810539,775037,-1,804858,-1,954431,-1,-1,335756,-1,693287,-1,-1,-1,521007,-1,-1,526554,-1,678708,262244,-1,533651,521771,308166,436111,-1,92204,91713,247965,382040,-1,-1,-1,412884,156061,-1,-1,-1,-1,-1,-1,48283,-1,-1,933037,-1,568368,158676,785933,-1,204208,-1,418704,-1,475912,551325,527513,-1,588582,921562,121791,357126,-1,905385,-1,-1,-1,-1,-1,-1,899310,998605,-1,452937,-1,499587,604832,-1,-1,-1,-1,377929,-1,503912,-1,-1,-1,719928,415005,329979,-1,771632,-1,-1,-1,-1,-1,-1,826995,513402,-1,-1,825778,845626,-1,-1,-1,-1,-1,-1,697958,-1,-1,-1,717173,263666,417760,930055,-1,-1,522305,862126,-1,58409,-1,-1,-1,257920,-1,-1,146152,959486,-1,275389,120474,-1,-1,927597,804656,268365,-1,-1,-1,434296,-1,-1,-1,-1,-1,-1,260137,320138,-1,806909,552200,27101,642334,677000,-1,327636,-1,350063,-1,-1,-1,67823,905666,107323,-1,410914,-1,-1,-1,-1,-1,535,-1,-1,371960,-1,-1,-1,309846,-1,-1,-1,-1,391807,-1,592982,14387,158627,-1,468307,434321,387153,270365,-1,-1,-1,-1,431898,-1,205093,-1,203234,352269,-1,-1,677406,-1,626199,-1,-1,-1,-1,-1,417862,-1,-1,-1,-1,523367,971997,-1,241460,-1,574167,275512,-1,517014,874433,-1,-1,830158,368050,101085,607537,-1,267322,-1,-1,170202,-1,-1,-1,707384,-1,527993,-1,-1,-1,-1,775479,126612,-1,295445,706736,142436,600353,-1,554680,-1,970669,287246,-1,937780,-1,-1,-1,-1,983734,-1,-1,366186,-1,-1,850312,-1,810364,42813,-1,-1,-1,-1,-1,-1,-1,761152,419035,-1,-1,-1,-1,-1,191840,974478,324276,845666,-1,592854,-1,670586,696067,-1,588350,463104,-1,-1,140498,850418,-1,967864,28647,712832,80937,-1,-1,35696,907895,-1,-1,-1,-1,180727,139324,-1,-1,122156,-1,439539,-1,-1,490267,-1,-1,336384,358660,-1,-1,-1,-1,421094,-1,176794,-1,-1,654944,600908,-1,-1,-1,-1,-1,592958,-1,-1,-1,55508,-1,-1,885697,-1,-1,-1,223948,762011,718886,-1,51941,-1,-1,-1,833302,-1,-1,534693,132805,223278,896923,-1,-1,-1,657905,-1,-1,-1,533207,116952,736711,-1,-1,953587,744299,-1,-1,-1,231221,-1,-1,-1,-1,-1,510323,-1,224862,-1,-1,338778,400774,460405,285267,-1,992558,330087,-1,-1,473545,-1,594543,-1,450525,220208,-1,312537,-1,500778,-1,709758,678298,-1,895670,-1,908139,-1,-1,-1,-1,-1,389417,-1,-1,245743,-1,430822,876495,-1,944564,795429,449198,-1,-1,686886,-1,-1,-1,479325,-1,-1,51088,-1,-1,-1,670329,-1,-1,-1,-1,-1,36326,467754,404366,897796,190424,474167,324627,-1,-1,47771,489259,651923,-1,-1,-1,794080,363362,457927,-1,-1,285092,737602,732309,-1,326322,659299,381728,194013,-1,792615,-1,962652,6803,828878,154406,482376,-1,-1,857008,836992,180318,-1,-1,-1,-1,774556,810968,-1,290369,-1,-1,109969,-1,-1,-1,-1,-1,-1,374111,543950,-1,-1,-1,546780,339552,9483,-1,260162,-1,450292,318135,683755,-1,16082,-1,-1,-1,-1,400031,-1,-1,84812,-1,400456,-1,-1,297670,-1,1604,527948,-1,673324,410986,906851,82413,164691,32719,-1,797760,-1,-1,20442,-1,-1,917737,727475,646191,665248,-1,69362,471543,-1,-1,-1,-1,-1,200755,496637,-1,606140,884405,654415,-1,-1,-1,51507,-1,-1,-1,-1,-1,-1,101255,461077,606475,-1,-1,-1,-1,-1,-1,661279,-1,-1,-1,-1,727786,458278,427058,99103,-1,450830,14927,-1,183621,-1,248344,396422,-1,259469,-1,-1,365392,544727,223036,368448,699775,677534,-1,-1,651688,975448,973314,296944,93714,792417,748319,90810,-1,-1,-1,30302,221737,-1,987129,732621,81102,-1,714111,-1,-1,647168,-1,548159,-1,-1,169348,152007,639683,616199,553736,-1,728196,-1,110003,-1,238874,-1,26812,-1,-1,932078,-1,397143,26836,596992,115165,384083,881585,-1,458213,267566,866415,-1,257675,-1,-1,998531,749934,222670,100492,668666,-1,-1,800183,831113,509008,-1,707730,-1,753187,-1,-1,-1,-1,-1,-1,-1,-1,838644,667727,-1,49799,-1,573418,-1,-1,-1,176909,-1,158314,-1,-1,-1,-1,-1,-1,-1,860822,-1,-1,364215,-1,-1,-1,865348,-1,57325,-1,-1,-1,173519,573160,-1,-1,427574,901784,26082,220524,130845,-1,-1,-1,95354,246082,-1,314190,966266,-1,-1,805,671495,-1,979477,-1,117853,-1,965912,-1,-1,-1,-1,-1,-1,-1,459996,977151,-1,-1,-1,415972,-1,923272,365649,805919,-1,-1,409487,646783,794563,443746,-1,621319,-1,276882,43832,779036,580972,-1,737528,580710,394413,-1,904655,-1,-1,306760,404300,-1,165959,-1,495288,57097,186419,429752,265689,-1,-1,-1,543040,73134,217086,189431,-1,-1,-1,-1,-1,798874,453304,958963,662823,940581,-1,-1,-1,-1,-1,491465,380577,946996,-1,-1,893116,913684,965478,464006,-1,-1,-1,744822,940670,-1,79386,-1,626029,-1,747023,81798,754761,781751,103235,-1,884765,-1,505844,-1,952657,332445,661354,790116,629600,609145,-1,-1,122624,-1,-1,923193,143818,811749,846705,867199,-1,569478,25014,643715,-1,230075,-1,-1,640457,840213,114705,-1,-1,-1,-1,459141,119662,837614,304289,874595,162327,-1,-1,-1,597356,-1,106715,480972,924246,-1,806423,877764,-1,-1,-1,-1,511643,257209,-1,-1,126721,-1,67370,919476,959438,48624,-1,-1,907640,167160,740193,-1,-1,904397,558744,219699,-1,351942,67648,-1,-1,-1,-1,-1,-1,672225,-1,286609,629841,-1,-1,-1,-1,118530,-1,681552,-1,-1,980657,797604,924341,143680,-1,94767,884188,-1,343890,-1,759349,-1,422442,858276,255864,785179,-1,172077,-1,-1,851614,466093,-1,898862,971409,-1,-1,-1,913457,911656,-1,351632,579347,-1,-1,360753,986482,666107,-1,-1,537656,-1,297937,838066,488308,-1,119557,-1,-1,-1,59544,74628,249260,-1,-1,-1,-1,-1,-1,-1,121294,-1,-1,80661,-1,-1,206531,-1,130436,9872,-1,-1,646337,-1,332702,543170,-1,487476,829420,-1,-1,-1,526157,558384,608171,-1,-1,-1,-1,645282,-1,878265,-1,-1,-1,10593,-1,980339,-1,508502,-1,-1,-1,-1,-1,-1,848712,-1,-1,757520,-1,-1,177942,-1,-1,-1,-1,-1,-1,-1,710676,421410,619732,754343,-1,-1,989593,927538,162075,572104,-1,-1,-1,-1,183846,-1,243927,-1,-1,561133,586415,-1,123165,69958,-1,-1,-1,-1,416007,-1,162897,286977,207834,-1,-1,-1,-1,581495,-1,-1,252232,322401,779988,233339,13526,395619,661615,-1,825631,758424,-1,73611,462362,357591,249336,241637,181163,198009,-1,173773,-1,75848,-1,858444,-1,-1,834264,-1,229695,-1,-1,-1,-1,947715,626480,-1,395164,-1,-1,56192,-1,877407,-1,829015,-1,735741,-1,456821,493303,-1,-1,198476,-1,-1,-1,648137,645016,847324,-1,-1,-1,878626,409342,-1,-1,-1,-1,486301,-1,794086,-1,-1,-1,-1,-1,289064,293296,-1,-1,914823,608454,-1,591722,665721,-1,-1,234225,776296,835932,-1,941693,210567,-1,733971,103601,-1,445343,116207,118073,409439,-1,-1,-1,890873,248577,-1,329668,-1,153355,61362,23778,314026,168335,671233,253973,402072,-1,-1,392233,-1,-1,34338,-1,-1,85825,763303,-1,353724,-1,-1,767476,-1,-1,-1,-1,-1,-1,-1,-1,887080,147559,-1,81059,-1,-1,873274,88504,25251,646492,-1,171616,-1,847267,-1,-1,-1,608374,-1,323286,-1,347248,127047,811003,-1,381223,938466,-1,-1,-1,111233,-1,990223,867985,-1,-1,-1,651698,-1,259929,-1,-1,446136,684348,-1,-1,-1,-1,181699,875171,-1,-1,788543,782110,435405,47598,-1,985861,-1,38365,-1,-1,199886,-1,-1,313166,271893,133609,-1,324670,828248,544011,322402,-1,554557,135955,-1,62966,501086,-1,632653,-1,-1,-1,580169,-1,461921,817160,-1,-1,-1,727477,-1,270460,100049,-1,-1,225362,835033,607602,579272,519561,-1,-1,-1,535280,225602,-1,-1,634166,-1,554892,-1,-1,768170,-1,65146,-1,-1,-1,107524,309328,-1,-1,-1,879477,806816,-1,754307,-1,-1,-1,-1,-1,-1,857144,711748,-1,326453,651713,52772,218194,315857,703491,749613,-1,-1,721514,177000,-1,527847,-1,-1,820678,433249,-1,931003,639359,-1,518911,-1,-1,91634,-1,199656,7697,729419,-1,-1,-1,-1,-1,-1,379245,-1,-1,464651,-1,786800,271048,-1,643234,409780,-1,108432,-1,597558,3314,-1,393072,876820,-1,649572,196151,-1,726923,-1,582056,293917,-1,700896,-1,-1,539562,-1,-1,759378,580845,646029,525671,-1,-1,174370,948497,410990,427212,-1,381444,-1,-1,247613,726648,20574,-1,-1,684755,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,278912,693254,-1,547281,-1,-1,-1,-1,-1,701131,842752,-1,237615,-1,-1,323303,-1,317653,-1,-1,-1,-1,253587,255410,29058,-1,830851,-1,6733,895730,-1,674726,-1,-1,965217,-1,-1,905878,379430,-1,-1,-1,-1,680246,-1,-1,891550,628055,517102,-1,-1,-1,344426,-1,49832,-1,-1,-1,336102,461471,-1,431120,-1,-1,392017,80665,799195,-1,-1,-1,-1,-1,536936,787119,-1,-1,831715,393241,201168,-1,-1,426536,-1,-1,-1,176840,906997,958106,-1,505682,315380,-1,713477,-1,-1,-1,494175,-1,310588,973363,81351,673112,70158,49276,25372,-1,918152,-1,794315,-1,-1,-1,725807,827933,925776,-1,358384,-1,-1,-1,-1,-1,150141,-1,659216,-1,-1,-1,116463,-1,343366,455070,-1,-1,-1,-1,115788,230097,-1,570632,530020,-1,-1,-1,-1,699056,-1,-1,-1,-1,128752,-1,-1,-1,-1,118838,-1,796804,800175,354166,-1,610212,-1,171186,-1,-1,-1,848576,-1,90841,8737,771201,231760,-1,334735,96618,-1,-1,451819,495905,-1,431558,-1,-1,4817,782547,271943,886562,-1,-1,-1,-1,-1,-1,-1,493832,-1,399438,-1,-1,-1,-1,292760,828071,663853,-1,-1,-1,-1,759084,384019,-1,934385,313049,131619,421615,-1,20754,-1,-1,-1,-1,-1,690901,666451,-1,-1,306978,-1,838579,-1,-1,-1,524828,-1,-1,-1,147355,-1,411844,-1,247452,701068,794277,437638,-1,80733,148823,-1,764446,712208,-1,-1,-1,439608,-1,831214,954592,-1,304775,-1,152943,149968,-1,890793,172755,-1,705975,832322,-1,-1,-1,292397,529577,-1,148982,-1,89410,315303,997765,-1,406843,180363,787144,821154,-1,859871,-1,-1,569766,434526,-1,20909,458251,-1,-1,-1,970066,899270,-1,725762,722398,-1,-1,826563,673124,909993,-1,-1,107476,222665,-1,38534,224697,890915,-1,-1,663178,-1,433607,-1,354699,269538,-1,-1,300622,691890,116552,814608,884555,-1,543812,-1,-1,-1,192843,908537,347389,686791,-1,656922,491659,624285,-1,900311,37167,193703,-1,-1,826513,-1,-1,398738,229883,-1,-1,-1,-1,944548,889796,54193,-1,-1,-1,551527,255328,-1,342889,45433,205658,253451,-1,-1,-1,-1,32644,-1,-1,-1,-1,-1,292322,86146,-1,165544,313886,193055,-1,751333,820999,747170,-1,-1,-1,46256,-1,-1,-1,167655,158622,300228,789762,848026,907154,-1,-1,965044,836303,-1,326824,-1,990526,-1,-1,-1,882050,952667,-1,508369,-1,-1,313950,242825,416391,-1,-1,592354,-1,-1,366120,983931,-1,50544,-1,758657,-1,-1,-1,278153,-1,-1,-1,247792,-1,151037,-1,377830,-1,852067,-1,487912,-1,988021,241602,-1,-1,882058,744598,669717,-1,-1,-1,-1,745441,-1,760486,-1,-1,-1,106261,-1,634965,-1,-1,-1,-1,557024,292828,-1,-1,398787,806958,-1,526924,-1,410219,695219,502252,532740,-1,-1,195154,-1,-1,66195,-1,926614,-1,-1,971765,-1,-1,675300,438779,-1,685657,-1,515370,196865,480788,866985,-1,-1,-1,840177,-1,-1,308595,-1,834963,-1,-1,452836,384198,500379,586162,720201,-1,319444,125287,592939,-1,674595,-1,946605,-1,404661,591460,-1,-1,141957,7885,523827,-1,266802,311985,909479,774595,-1,-1,-1,-1,-1,111214,-1,762626,374055,-1,635847,-1,574419,282036,-1,196452,469585,-1,-1,-1,-1,-1,843566,-1,481203,-1,-1,578220,519953,-1,-1,480246,128668,810228,57227,150069,225130,-1,953823,-1,-1,87865,-1,-1,-1,61170,-1,401528,-1,-1,724418,319377,-1,-1,962660,924070,-1,-1,389824,-1,-1,-1,-1,149471,-1,26936,-1,660575,-1,-1,-1,-1,72884,323952,106938,101540,-1,-1,715452,-1,-1,457378,636526,-1,858169,94514,-1,573109,320666,198774,-1,-1,-1,3642,-1,-1,-1,-1,-1,-1,-1,-1,80035,673672,390795,382110,46261,-1,-1,720030,-1,-1,-1,979952,-1,26343,429904,-1,-1,817624,-1,266668,-1,-1,422466,173711,-1,179483,961964,951477,-1,-1,-1,718925,-1,-1,546232,-1,-1,386674,-1,-1,784690,391780,26708,32614,-1,97130,-1,-1,976653,-1,128846,67505,-1,699898,-1,80440,-1,-1,553888,-1,-1,-1,-1,622973,917216,-1,-1,37219,29245,124581,779976,-1,-1,-1,341899,-1,775621,447514,-1,178337,589388,486737,-1,86832,766448,-1,-1,479802,784969,-1,650989,206041,52063,304233,-1,-1,-1,-1,842097,343286,-1,-1,920983,-1,632353,-1,425500,75751,405170,-1,821958,-1,-1,-1,97376,125279,-1,215785,-1,60944,-1,-1,225323,-1,-1,-1,825908,-1,-1,-1,73436,-1,739449,-1,-1,-1,40780,-1,-1,-1,-1,-1,863509,-1,442428,-1,-1,213590,487418,533051,911256,-1,-1,-1,795349,550331,-1,249914,-1,-1,711923,317352,965687,-1,-1,-1,-1,-1,133302,340078,413691,450369,-1,28056,-1,-1,529815,538303,-1,527119,397280,637924,70878,-1,-1,583217,422042,-1,229926,213137,21817,464016,-1,-1,490155,330445,961997,-1,-1,-1,446969,338802,-1,-1,653533,-1,865781,739225,895921,-1,-1,-1,-1,-1,-1,930123,-1,-1,-1,741225,-1,896089,-1,-1,940395,746432,-1,-1,-1,-1,-1,-1,17084,952480,419595,23612,28957,-1,49217,-1,-1,-1,591781,249372,637861,546914,151749,-1,165892,-1,-1,701218,631343,874037,94977,475551,-1,796751,461113,-1,934038,475026,190862,104988,665821,403375,-1,579304,43240,546981,-1,-1,669923,208654,-1,31755,964449,216546,-1,638183,-1,-1,175689,8584,660305,175038,234365,-1,291188,-1,-1,960226,-1,237293,39990,367941,953459,-1,-1,-1,-1,75793,674934,289301,702405,265175,-1,953293,-1,-1,-1,922490,-1,908078,32290,-1,-1,511659,862097,-1,-1,244736,612072,-1,102625,-1,-1,-1,784578,-1,318415,703433,-1,304691,-1,82631,292526,-1,-1,651718,733092,473529,-1,-1,-1,-1,-1,-1,21970,-1,638899,525393,3584,-1,-1,711621,-1,939433,-1,-1,-1,764383,194213,-1,-1,-1,-1,262533,824616,780967,639293,-1,-1,-1,-1,585094,953506,-1,923643,-1,-1,221278,-1,322593,128398,-1,328164,-1,-1,405837,-1,87020,-1,402497,-1,-1,-1,120616,-1,-1,990468,35605,122338,-1,331666,645209,549710,-1,758842,-1,-1,-1,349878,-1,-1,188513,277080,495125,-1,-1,-1,-1,-1,-1,-1,-1,538741,-1,555160,910001,-1,395988,339671,-1,339262,-1,-1,-1,-1,266265,439546,-1,480294,-1,840647,-1,526826,806083,-1,-1,-1,-1,-1,-1,505128,894758,-1,317682,-1,964729,-1,330638,-1,-1,-1,648182,-1,679619,-1,64967,13072,-1,-1,163652,598956,992048,899266,471258,-1,-1,-1,424224,909795,-1,797055,-1,-1,550017,476006,-1,-1,863724,946115,805695,658767,701300,839699,-1,-1,-1,-1,-1,-1,190543,15295,860989,96806,808484,-1,-1,492553,-1,984725,613311,906735,385895,687814,-1,-1,356275,-1,502977,474902,909469,515458,-1,-1,916979,54850,683973,-1,-1,-1,436489,704265,602567,-1,-1,842055,-1,-1,-1,-1,791421,-1,657893,-1,726398,763901,-1,-1,-1,-1,888045,153491,-1,503421,169333,922585,227131,451741,-1,-1,165772,-1,-1,495301,-1,785761,144267,-1,551225,-1,-1,259755,663777,-1,255457,-1,-1,104564,768822,-1,-1,-1,-1,755598,-1,392648,644256,-1,-1,685085,202245,-1,-1,710643,437096,-1,698859,627315,757648,318482,365088,-1,-1,992393,-1,705799,-1,-1,195762,181397,78778,72648,725207,543116,612043,-1,443755,16822,342200,-1,-1,-1,179494,689889,328703,482529,52352,-1,-1,800908,-1,-1,193509,682323,-1,909997,-1,469713,-1,-1,-1,108864,605538,413090,402378,-1,-1,701506,638883,-1,748076,-1,-1,-1,-1,987886,899003,-1,906246,535600,-1,-1,-1,963987,717289,-1,-1,-1,551635,599207,360210,-1,-1,508869,-1,-1,-1,-1,766348,290789,301052,905427,-1,-1,240061,-1,513331,425041,-1,667177,-1,910483,673937,764230,-1,887335,894152,133550,627040,862190,70593,652043,708932,11917,431032,239766,-1,-1,996341,299034,-1,-1,-1,-1,8400,973782,167214,-1,493022,-1,-1,-1,-1,-1,-1,305413,-1,958220,-1,-1,709871,518156,-1,749208,101117,-1,108222,997290,-1,-1,677733,772159,-1,985744,-1,-1,-1,753731,-1,-1,89838,893376,-1,-1,314600,-1,-1,115215,-1,851353,-1,-1,762176,272860,237164,689175,128844,-1,707285,926314,447447,716851,625374,-1,125909,11982,343537,-1,229090,573727,-1,-1,-1,-1,241164,-1,-1,-1,-1,755455,822124,-1,201975,122072,631601,222021,-1,-1,320397,-1,-1,324200,-1,816069,49943,-1,331694,341457,429667,318053,-1,879506,-1,-1,757033,-1,53980,-1,50582,-1,-1,203143,347644,822887,812562,703993,-1,-1,-1,104301,-1,-1,-1,-1,143424,-1,-1,-1,263178,-1,914038,653718,267357,826449,-1,-1,-1,883407,-1,-1,381950,-1,950334,398236,-1,701838,573089,-1,608690,-1,862643,-1,-1,-1,-1,-1,236809,511917,778116,801520,-1,-1,-1,959180,99531,-1,849108,-1,987565,-1,-1,54781,-1,-1,701620,-1,-1,-1,-1,215143,-1,528975,906744,555250,312685,-1,183299,84389,686494,421947,-1,-1,-1,366749,-1,186337,326934,927194,956864,943177,-1,461255,-1,328722,803965,157419,-1,-1,158551,-1,-1,-1,276166,192831,-1,-1,938037,-1,799145,-1,-1,-1,-1,-1,-1,-1,-1,810038,55993,735258,-1,-1,-1,456496,-1,-1,-1,625162,-1,-1,301854,869805,-1,945913,-1,941713,840376,-1,607493,18517,456109,757693,-1,-1,-1,750336,-1,-1,-1,-1,-1,318126,-1,628329,-1,-1,-1,102530,454594,648415,375841,-1,-1,-1,-1,65195,-1,494160,640866,275863,567991,-1,970068,154035,307433,-1,120250,-1,-1,-1,-1,280617,-1,-1,673462,459798,521401,-1,808744,-1,-1,-1,799938,622126,392310,-1,-1,-1,184191,-1,-1,505471,-1,318453,99139,-1,587031,645673,466079,-1,148335,-1,325042,927274,-1,-1,205677,566874,225241,752869,752437,-1,-1,379293,367758,-1,504038,653235,643427,-1,360060,58921,-1,-1,821844,-1,-1,883260,-1,-1,-1,37736,233003,-1,951695,661761,-1,-1,615124,456064,458588,-1,855063,-1,734185,-1,101718,975127,99032,-1,745583,585788,468966,850732,254464,513494,814251,266769,-1,227755,831875,65589,-1,724314,-1,935307,400034,231844,266004,897753,-1,-1,-1,-1,330518,-1,-1,419079,-1,259527,-1,800554,-1,-1,-1,837836,279980,-1,-1,-1,245459,975034,-1,681401,-1,391257,135846,-1,168616,-1,648181,648102,417350,268976,-1,-1,-1,814730,-1,402595,839633,-1,-1,-1,921901,577162,-1,-1,736486,51952,-1,-1,-1,180809,398561,-1,-1,-1,889346,756208,480298,-1,-1,719135,-1,-1,111854,-1,-1,-1,-1,-1,562747,-1,-1,697977,-1,548505,-1,-1,385446,-1,-1,58924,60953,-1,-1,-1,816100,783720,-1,387902,983543,599396,773452,825376,92908,-1,511794,-1,55133,-1,-1,319695,104151,-1,522372,-1,-1,-1,-1,-1,-1,607907,510045,-1,-1,323315,-1,800472,-1,852565,-1,74372,-1,-1,-1,-1,-1,-1,-1,902247,235960,549867,445328,-1,-1,868120,-1,-1,864478,-1,-1,488196,-1,-1,-1,960161,-1,978168,-1,-1,298154,436601,-1,-1,-1,-1,-1,-1,595608,760514,880488,-1,495361,54707,-1,440386,-1,108601,-1,-1,246253,53380,-1,-1,597755,-1,-1,386682,-1,69256,270805,183029,-1,429184,-1,-1,-1,-1,-1,252582,-1,-1,-1,-1,-1,-1,-1,19812,-1,798291,370209,-1,708773,-1,686573,-1,-1,-1,-1,169867,-1,565000,-1,-1,-1,502012,-1,895641,714955,-1,-1,145362,602034,878609,932540,-1,-1,547520,-1,804207,543580,17356,858084,-1,262707,-1,123760,334409,-1,472238,-1,-1,-1,-1,21782,-1,-1,-1,151508,561318,-1,659048,988219,568132,-1,296032,-1,908619,-1,745146,520849,-1,582749,209918,-1,-1,-1,915761,903880,194265,-1,125209,990092,-1,533415,-1,358034,-1,873278,933501,-1,830481,464126,867126,-1,357564,509563,581287,192170,317111,456017,381952,-1,314916,-1,-1,482845,617331,-1,-1,654269,-1,-1,438299,470417,704740,898741,-1,45291,-1,-1,-1,-1,-1,-1,818079,-1,-1,-1,899173,247680,-1,78052,-1,135717,609250,-1,199422,201878,444447,-1,-1,-1,212013,404695,-1,-1,-1,-1,547134,-1,-1,-1,342519,-1,-1,250443,960524,522255,-1,343065,293424,568813,-1,-1,-1,-1,-1,689244,-1,947478,626855,8615,28918,956433,-1,-1,834662,-1,-1,-1,268995,-1,-1,929820,-1,-1,756197,-1,-1,965903,755719,559353,710982,-1,-1,-1,-1,459052,820358,-1,998295,587742,-1,-1,49823,-1,811275,-1,-1,-1,386006,-1,357982,467969,-1,960695,264302,-1,530781,699995,215595,147771,610288,-1,-1,-1,530279,-1,635511,977918,-1,-1,-1,-1,-1,882957,-1,41499,-1,801661,-1,252884,-1,565707,288598,977838,344803,-1,-1,-1,728509,624183,-1,779159,332998,-1,451317,-1,579294,-1,-1,-1,-1,-1,-1,-1,259768,-1,321450,-1,364722,-1,665167,-1,88282,721582,-1,583017,-1,-1,797185,-1,-1,294756,440173,897004,-1,-1,825211,-1,-1,-1,261556,381636,-1,242379,-1,-1,420762,376145,-1,830284,-1,-1,-1,709250,-1,955962,-1,521031,-1,805293,927286,-1,-1,740718,529124,-1,-1,-1,538771,519298,700663,-1,-1,-1,-1,-1,-1,797867,864180,480379,277994,-1,570857,-1,719360,-1,-1,-1,464682,527564,-1,480659,-1,-1,-1,828288,-1,-1,-1,-1,-1,-1,633330,129266,146504,-1,-1,-1,-1,692714,-1,984008,-1,-1,290509,33272,-1,-1,-1,-1,781046,-1,-1,-1,846173,-1,-1,-1,933842,869748,80305,14936,-1,217689,-1,90580,747651,-1,-1,-1,791549,-1,-1,-1,995229,-1,470233,-1,248336,-1,-1,-1,-1,531947,-1,-1,430993,-1,-1,-1,444561,-1,788032,-1,940659,-1,842335,-1,-1,-1,459243,307123,787267,-1,235353,38745,267812,574305,971157,-1,881240,854038,-1,-1,850253,320790,192124,-1,-1,63516,-1,-1,970318,943542,-1,97849,750424,331440,983030,-1,-1,-1,998283,-1,45413,253323,-1,-1,590136,-1,762360,-1,66362,-1,982210,788720,-1,208560,910315,85101,549393,-1,1005,-1,-1,-1,268053,-1,-1,-1,711056,-1,-1,-1,240825,-1,929611,-1,1855,-1,-1,-1,-1,-1,-1,414444,565022,149595,-1,-1,10788,726339,-1,51484,-1,-1,-1,-1,-1,-1,-1,-1,223148,-1,-1,643376,698031,768874,266398,127869,-1,398571,-1,-1,-1,-1,-1,-1,-1,-1,379552,811511,936229,-1,329548,44889,786642,-1,-1,657079,-1,27502,-1,215756,-1,193172,-1,-1,907725,150759,-1,-1,54456,-1,-1,-1,388383,978991,177587,-1,226815,-1,-1,-1,-1,738475,-1,628649,-1,-1,815690,-1,604608,388455,-1,185962,124775,177920,250318,651124,-1,-1,-1,-1,-1,-1,577528,764419,-1,-1,-1,-1,-1,-1,789008,236038,986346,-1,379569,-1,61718,-1,876240,-1,903360,-1,721475,-1,367784,-1,-1,440594,-1,-1,174999,-1,737266,476354,409471,-1,-1,-1,-1,-1,-1,-1,670257,-1,-1,-1,-1,260408,239581,906271,465259,-1,700915,-1,579393,-1,-1,790094,235631,-1,689280,-1,-1,-1,987869,-1,172364,297451,-1,-1,-1,199737,-1,652293,466793,27279,-1,414233,162585,949304,-1,-1,-1,-1,-1,216603,888960,53212,-1,151891,430013,-1,531147,-1,826156,-1,-1,818438,-1,464418,-1,749090,-1,825779,-1,310809,-1,-1,-1,540074,-1,-1,531329,912665,525172,5054,570787,823459,456924,-1,-1,-1,-1,-1,-1,537216,-1,725054,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,733996,591712,49552,-1,596831,-1,-1,-1,-1,-1,-1,-1,343413,-1,-1,-1,860861,606119,-1,-1,-1,-1,427773,-1,579850,450519,-1,-1,642929,529796,-1,-1,-1,863923,-1,870756,860286,-1,-1,848700,866286,-1,717148,-1,-1,168279,637,-1,893229,621157,-1,-1,150681,742165,417525,505855,-1,84554,122697,8464,681304,-1,-1,892658,111626,623625,-1,678003,-1,-1,-1,-1,-1,281620,68500,-1,101290,559620,186264,-1,-1,811394,-1,108444,-1,-1,972723,-1,697229,539716,-1,-1,-1,-1,-1,87759,938567,-1,552164,205409,617940,-1,-1,-1,838210,363042,-1,-1,101260,-1,-1,-1,708193,-1,469431,188324,-1,94012,-1,868329,418219,-1,119675,143586,852279,-1,36674,176566,-1,-1,612400,-1,113408,959418,-1,5920,-1,659130,994677,-1,-1,493349,-1,-1,-1,-1,-1,946422,-1,-1,-1,415658,222442,-1,-1,962089,526720,-1,128866,-1,34885,-1,858960,739027,148825,-1,-1,204468,668554,-1,638061,-1,-1,-1,-1,305980,-1,633953,502542,251325,-1,-1,-1,-1,544894,786077,-1,-1,-1,810719,818021,-1,-1,696281,-1,-1,-1,456306,-1,-1,907938,746084,-1,253251,604932,-1,715765,-1,-1,-1,-1,570200,-1,656129,-1,720624,702,756098,459359,678897,-1,-1,-1,-1,904608,10996,-1,-1,589696,766124,763412,-1,448582,-1,-1,999952,627102,-1,433785,-1,295907,637949,-1,-1,-1,-1,-1,388660,-1,-1,-1,52857,-1,-1,-1,-1,-1,-1,-1,-1,467530,-1,-1,-1,-1,946684,-1,796179,-1,-1,-1,-1,537758,887952,-1,800259,-1,580802,423969,571509,-1,167648,-1,228952,-1,-1,-1,-1,-1,-1,-1,-1,380987,-1,605682,-1,319183,532928,-1,-1,-1,88735,-1,798588,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,959196,168343,348419,165714,-1,-1,-1,795389,679766,-1,-1,-1,129335,295379,299658,830069,-1,-1,-1,-1,584278,-1,337667,324264,-1,-1,875826,-1,676206,426505,-1,352652,349183,-1,708106,317318,-1,322169,-1,364299,-1,584308,-1,-1,347991,-1,723898,-1,-1,591734,-1,-1,563063,418533,413586,-1,-1,132142,-1,380774,932239,-1,-1,669237,-1,674977,203088,429221,-1,736077,183323,-1,-1,14921,-1,457638,-1,-1,314663,7736,-1,-1,950023,681923,494582,-1,152802,-1,-1,85289,-1,-1,775832,724356,-1,-1,103221,975862,-1,-1,595902,-1,-1,-1,-1,-1,125910,572382,-1,344323,-1,-1,415731,943827,-1,757899,-1,-1,-1,652350,905581,110894,-1,-1,481034,-1,329237,557487,221089,-1,729799,-1,-1,649952,-1,-1,-1,320873,-1,871678,246938,-1,-1,-1,694668,-1,-1,289641,-1,419788,570772,421415,346658,562287,-1,-1,-1,626128,-1,-1,-1,-1,207314,-1,-1,260548,-1,208046,431075,717242,-1,116367,368080,556928,-1,-1,93830,-1,415321,-1,-1,369573,327997,933350,-1,687629,-1,401245,639396,160243,-1,-1,-1,-1,246957,712296,-1,648783,665725,495983,79465,-1,-1,922637,226997,855228,638406,-1,772411,396984,-1,337501,961733,-1,-1,842807,157999,221641,-1,407971,47331,44469,785036,520414,-1,474608,621591,772882,726050,-1,-1,-1,-1,583495,948655,-1,-1,777035,-1,939004,-1,-1,180140,45696,-1,-1,-1,-1,-1,-1,-1,-1,-1,658439,956311,21030,-1,15959,-1,581485,-1,-1,-1,612984,317267,-1,-1,-1,-1,-1,-1,39159,376215,987622,-1,366731,-1,-1,877494,312198,202699,-1,679222,-1,322936,-1,-1,-1,-1,-1,-1,-1,678933,-1,-1,942118,-1,-1,150576,-1,18624,-1,7811,645894,966299,-1,317326,-1,615410,208009,-1,742853,477749,550619,-1,483621,259130,-1,-1,-1,909676,-1,509118,638915,862863,-1,777681,168302,-1,166059,-1,-1,-1,-1,-1,-1,625036,422451,288826,-1,89984,-1,-1,-1,-1,571164,-1,-1,-1,424266,-1,-1,795713,256648,-1,-1,-1,-1,406536,-1,-1,538026,-1,173348,-1,-1,-1,-1,698875,179625,-1,-1,37708,753158,-1,-1,349683,195689,143206,-1,-1,-1,651108,-1,987010,493242,375677,-1,-1,-1,560244,634870,284838,195193,344042,-1,-1,-1,776129,372987,752884,-1,416083,-1,-1,203793,812858,742998,-1,-1,-1,-1,-1,-1,847044,-1,-1,-1,233867,-1,48455,813849,-1,-1,-1,-1,741928,170297,-1,-1,-1,-1,299926,-1,-1,-1,224280,10199,975638,324113,490120,177788,204370,-1,-1,421423,810263,-1,315506,847948,-1,523194,-1,170674,-1,918135,-1,957198,-1,-1,-1,-1,-1,-1,-1,53717,-1,803865,708712,365731,-1,-1,955331,288873,-1,-1,-1,292182,-1,308418,-1,23840,-1,876182,-1,103072,-1,-1,445894,377299,-1,-1,9392,-1,-1,-1,-1,-1,-1,-1,-1,947599,-1,712041,951525,852649,-1,-1,-1,711465,219933,-1,117742,-1,-1,-1,-1,989527,-1,-1,513477,555914,117972,891103,223661,902055,362570,-1,639973,-1,-1,877012,453360,-1,61068,-1,-1,608279,483801,228733,-1,673684,589138,862703,-1,-1,-1,469625,894832,-1,175341,-1,-1,780572,596909,433876,-1,778538,-1,467963,-1,-1,-1,827285,-1,484429,-1,-1,-1,-1,-1,-1,-1,-1,-1,435612,786740,456956,40470,-1,-1,445492,-1,393454,-1,-1,-1,-1,365429,-1,501520,885261,267259,-1,-1,467257,-1,367793,-1,108257,777353,693006,373701,-1,71288,592608,-1,315119,-1,626741,-1,-1,-1,866817,-1,-1,-1,931119,-1,978946,824694,-1,-1,-1,556015,836520,-1,-1,674034,14538,-1,-1,-1,280415,-1,587277,-1,77278,82336,-1,-1,-1,659782,234945,-1,888901,-1,-1,274304,-1,-1,696492,-1,63990,-1,-1,337152,609781,890060,519323,-1,712590,-1,661662,676204,761464,629903,-1,-1,521176,631164,-1,-1,664990,326179,179828,494941,-1,443526,-1,-1,-1,-1,-1,-1,-1,352099,-1,-1,-1,-1,-1,800756,829638,-1,898755,851649,-1,909830,-1,-1,-1,-1,-1,-1,-1,206632,135028,-1,-1,564023,122993,-1,385044,-1,544457,251225,965882,-1,-1,670625,923216,151769,926745,-1,-1,-1,915088,955023,286575,35552,-1,-1,-1,-1,139177,735120,-1,-1,976731,-1,472835,901710,197099,611374,-1,-1,814078,-1,-1,716203,-1,819511,648251,162934,-1,-1,963558,556299,648627,576912,586869,31219,-1,-1,37953,-1,838956,982839,544645,582599,-1,901136,-1,-1,408798,230245,-1,906470,638078,-1,372538,-1,88455,431854,-1,-1,149203,886682,-1,-1,531506,-1,-1,-1,-1,-1,-1,562464,141652,-1,-1,-1,-1,-1,603294,48744,992612,256650,-1,61370,196799,241818,622222,371924,-1,491169,291604,-1,70291,854408,-1,-1,697437,-1,-1,647617,272557,-1,-1,-1,687109,979172,763125,842144,-1,602660,877611,-1,391618,-1,-1,22982,-1,977443,-1,691655,-1,-1,-1,618403,-1,-1,357898,-1,409385,642066,-1,182502,627399,297738,547231,-1,463267,-1,502827,-1,-1,687546,303975,-1,140449,-1,451103,506064,-1,936011,140466,-1,128839,699019,638538,140220,276502,100560,342896,644230,-1,752695,-1,130686,421765,937822,969659,84069,-1,-1,279104,-1,-1,751600,-1,773895,-1,44368,965169,-1,-1,417833,854683,-1,533065,-1,935087,-1,-1,-1,-1,197765,812164,-1,115595,645548,-1,-1,-1,319082,-1,75917,604214,590892,-1,-1,-1,-1,-1,566948,-1,-1,-1,530239,-1,-1,55867,-1,-1,974495,-1,3790,291297,-1,31823,-1,603117,-1,-1,-1,437,693174,806768,324082,-1,459032,-1,-1,-1,547545,251384,761073,176517,-1,999499,-1,-1,-1,929780,-1,-1,-1,-1,-1,-1,933041,371244,757937,664425,958899,-1,-1,-1,166423,-1,-1,137477,528224,255348,-1,-1,-1,787993,351449,-1,675303,-1,-1,705773,361447,599645,37545,539022,-1,-1,438304,-1,752779,259215,385081,-1,207180,-1,199671,17574,-1,522756,358842,-1,-1,-1,-1,474977,934931,-1,593613,703332,43359,804359,263085,468136,275553,-1,494262,137397,-1,176634,992391,-1,-1,891349,-1,60356,295241,-1,726067,266211,953988,812463,-1,929957,566981,-1,-1,-1,-1,5343,-1,-1,941124,131848,205499,762937,152000,753509,-1,-1,681942,205939,480634,904052,-1,315593,-1,405223,-1,327949,-1,310916,161111,661533,-1,536460,-1,-1,-1,-1,924179,412768,688212,-1,-1,-1,-1,-1,147253,731521,-1,-1,-1,-1,797007,-1,-1,-1,19529,948980,221030,-1,-1,362131,-1,-1,-1,-1,715988,226467,464632,-1,-1,-1,-1,671144,-1,336578,-1,316831,-1,-1,-1,663144,903878,-1,-1,-1,-1,-1,-1,-1,469407,-1,-1,341159,992925,-1,313802,703944,-1,891059,-1,996519,-1,-1,-1,-1,308153,-1,-1,-1,-1,50898,-1,-1,456113,-1,-1,212719,-1,-1,95240,224137,-1,130873,-1,99745,-1,621498,14671,-1,-1,110037,-1,-1,911993,-1,736797,-1,-1,5982,-1,826647,519012,316469,400002,571423,447350,461456,779579,895836,175647,-1,-1,434915,607775,-1,493919,-1,762701,857499,114114,18124,-1,981254,738293,755443,597620,843591,423580,-1,389616,587080,-1,317376,714442,380419,-1,969818,-1,-1,-1,-1,428520,-1,778864,930529,249913,-1,728944,700602,875904,-1,792091,905975,908903,247669,-1,-1,-1,-1,-1,688224,703296,-1,855802,-1,4725,574219,-1,-1,833955,359927,-1,-1,-1,358792,946221,575889,318807,-1,830052,539704,-1,982064,535602,602135,458557,-1,-1,146937,628574,169869,-1,-1,494542,-1,110701,449347,-1,-1,508574,666469,160134,-1,-1,668651,206588,-1,-1,-1,-1,-1,116703,-1,500243,174773,986916,-1,778730,296111,72400,-1,372113,-1,-1,-1,-1,871459,-1,-1,254496,-1,-1,-1,771436,-1,-1,-1,943951,219184,-1,752488,681576,-1,-1,640061,179134,225090,930699,592137,97415,649063,225400,-1,-1,616918,284805,330561,643248,-1,-1,644461,-1,-1,792400,349173,-1,-1,-1,-1,866842,-1,-1,179965,-1,-1,690503,-1,-1,-1,-1,907214,115091,153848,92829,-1,982536,211029,-1,-1,618544,115787,-1,-1,-1,9800,797493,900449,852968,439761,-1,-1,-1,428227,-1,464237,756794,-1,-1,-1,-1,300145,733385,231800,749772,931883,997488,-1,983220,-1,-1,-1,-1,-1,-1,202877,-1,-1,199877,942961,33767,794474,681997,963694,153547,-1,56836,210960,-1,675315,978146,958572,-1,-1,-1,-1,654222,-1,692751,289273,588930,-1,456561,-1,-1,551545,-1,-1,876690,-1,-1,263744,749248,-1,823229,730628,898903,572731,152295,928439,180937,-1,-1,-1,996640,897812,111053,-1,-1,109726,742422,727512,-1,-1,48034,946287,-1,325153,-1,884396,-1,743799,241888,-1,244344,899191,-1,-1,376778,-1,-1,-1,165960,-1,281257,-1,968979,-1,376333,-1,-1,-1,-1,-1,-1,44703,-1,249910,442703,-1,44138,531274,868845,-1,-1,-1,-1,-1,982222,-1,-1,-1,-1,926002,429783,-1,-1,869268,-1,-1,-1,559037,-1,-1,655906,244871,-1,342146,947390,475201,-1,-1,486870,-1,741731,-1,517435,616471,685193,-1,-1,18365,979875,889864,-1,825230,-1,537481,-1,-1,103244,468265,-1,-1,255063,344745,574499,911769,269970,42388,900904,-1,529986,-1,-1,514890,-1,-1,-1,771723,727254,956100,469335,-1,-1,106505,780364,239627,46583,428579,947962,-1,-1,870617,374919,508274,-1,248382,-1,340917,-1,418673,959126,-1,76610,706595,70577,-1,-1,-1,974879,50242,-1,-1,-1,367792,-1,-1,-1,-1,-1,192707,-1,733391,880545,805701,-1,-1,51534,-1,337391,236420,-1,-1,495402,-1,33690,896524,875750,-1,-1,-1,-1,604047,92015,-1,219432,501285,607081,773161,803312,298408,-1,84011,480506,-1,703330,752558,455497,-1,414167,-1,-1,-1,-1,566977,143549,976152,716514,-1,869990,-1,-1,-1,267718,493277,-1,-1,890911,-1,394227,-1,-1,-1,345081,-1,334729,207232,414127,-1,919386,257666,-1,-1,945057,532251,374902,-1,-1,-1,242687,480910,398608,-1,536037,-1,-1,742747,-1,539982,501642,-1,372249,-1,453484,-1,461778,656498,-1,-1,-1,-1,842121,530112,-1,283944,-1,408716,599640,-1,186386,726037,153383,-1,-1,-1,720145,-1,714285,-1,-1,-1,400280,158232,-1,-1,461765,-1,103187,-1,-1,-1,-1,326544,-1,331609,130765,-1,443079,-1,-1,118364,-1,-1,410202,-1,-1,-1,-1,163886,-1,231030,-1,930645,723534,-1,-1,589045,734188,-1,193890,326575,-1,-1,-1,532395,-1,-1,403082,832579,-1,-1,933492,-1,534144,79317,-1,237275,-1,953389,593629,435112,596094,607027,-1,-1,-1,-1,-1,-1,-1,598684,-1,-1,696811,309245,845338,223507,-1,852018,-1,561169,46033,-1,-1,-1,-1,156675,750669,771907,-1,-1,808078,-1,855122,645522,304050,515529,450446,950906,-1,753885,200037,613593,337053,-1,494405,450314,797737,773081,-1,441012,-1,86785,-1,-1,139116,528968,320616,-1,-1,-1,-1,130680,-1,949530,-1,702423,998168,820601,-1,-1,391935,151092,569323,305874,865037,-1,72081,-1,560771,84703,-1,-1,259509,405341,-1,-1,-1,-1,845130,-1,-1,-1,-1,-1,-1,-1,-1,-1,863653,164539,868524,303615,-1,-1,-1,-1,744633,161414,-1,-1,208303,356521,197276,-1,-1,-1,-1,-1,458861,361612,547913,-1,566152,461261,-1,140528,992432,-1,453354,-1,324409,781570,963865,654682,-1,-1,-1,757882,461266,-1,-1,439336,-1,-1,-1,336663,327141,-1,208193,-1,85482,33228,-1,708463,832366,920317,935971,-1,491844,362075,443030,-1,457488,698628,446223,-1,422810,582757,14016,-1,-1,785242,682216,71533,941087,361726,636565,405687,-1,323191,-1,58725,-1,-1,731164,-1,-1,-1,-1,637068,-1,-1,169022,-1,-1,-1,-1,933448,564684,-1,-1,-1,-1,225497,-1,753931,-1,928462,907748,245562,-1,-1,-1,743433,-1,-1,-1,616769,710880,438948,-1,91505,508496,926197,498557,677245,54472,-1,436524,369829,921008,287812,584650,-1,-1,-1,158403,276149,432356,-1,-1,-1,557311,29184,-1,280544,215173,-1,-1,-1,-1,181299,330181,640444,799112,-1,711109,70039,-1,-1,-1,165703,79532,-1,-1,492387,46613,823883,-1,-1,494839,171855,348446,-1,-1,991471,999265,-1,316247,-1,947923,-1,49041,536306,809239,814019,-1,761038,832848,23931,459586,61290,-1,-1,-1,-1,883214,572871,8012,707474,-1,-1,-1,552759,-1,69652,-1,947479,-1,454994,959695,802416,668867,-1,349083,884539,940493,97163,337514,-1,-1,663571,72592,54659,367119,901816,666282,829571,-1,501541,907452,-1,344607,-1,955432,483548,867464,296110,345940,-1,271262,-1,-1,-1,677783,609345,-1,730845,-1,720326,53121,734276,-1,434582,-1,-1,189240,-1,-1,759313,10356,248147,359958,-1,-1,263672,-1,284176,-1,-1,984476,-1,-1,-1,15466,793080,48293,-1,377661,556516,271436,-1,668501,448390,685983,-1,-1,-1,-1,834658,-1,363600,865539,256571,-1,-1,-1,-1,266145,-1,114442,901546,-1,976358,-1,-1,169475,976742,997240,-1,74231,885611,204296,390768,-1,983948,782357,539360,-1,192267,-1,-1,671923,721450,950793,83485,-1,-1,-1,-1,-1,-1,-1,-1,451909,2990,-1,-1,-1,433909,842892,901827,171409,-1,-1,-1,-1,244240,-1,16842,894245,444978,-1,972264,316942,-1,-1,-1,-1,-1,-1,429816,18863,-1,-1,-1,834005,391889,-1,358298,784260,969217,-1,-1,-1,762843,-1,105169,-1,651353,-1,-1,277929,-1,-1,496793,-1,159606,-1,513599,667939,-1,-1,-1,-1,-1,764960,264846,582259,806404,-1,-1,679145,-1,-1,-1,-1,-1,-1,632391,50120,529545,-1,-1,983895,-1,-1,-1,953334,-1,-1,-1,-1,549623,264664,720439,-1,50362,179959,434562,493794,-1,-1,-1,844296,338913,800848,699230,-1,-1,767304,551642,684731,150462,-1,-1,-1,749286,-1,-1,441095,903527,829066,827253,-1,697559,-1,-1,589062,485078,-1,531899,536647,-1,765754,-1,52214,-1,311255,865195,893612,-1,456905,285879,-1,-1,-1,237266,-1,-1,563528,-1,237530,-1,-1,-1,971439,285179,90445,-1,144198,-1,719333,-1,-1,-1,23199,-1,192337,19863,822012,415573,194227,330187,-1,-1,-1,-1,-1,-1,-1,-1,268946,-1,99453,499630,-1,-1,-1,452711,548355,675337,856835,994235,843106,-1,168311,-1,159676,87773,507908,-1,-1,931790,306014,515048,932561,-1,449486,-1,-1,-1,655355,979212,-1,202138,739070,-1,-1,-1,177035,-1,747524,-1,148588,711717,-1,857635,-1,962828,-1,613471,705759,-1,-1,-1,-1,685512,-1,42272,-1,405352,-1,70212,-1,-1,-1,-1,-1,712000,-1,-1,-1,-1,-1,389520,622437,-1,-1,775459,-1,331495,-1,835580,894148,-1,812290,763470,469333,716904,812511,-1,-1,-1,-1,35697,805330,-1,-1,471900,41795,-1,64134,-1,-1,270727,-1,901880,241286,176352,-1,-1,431974,881700,-1,439182,873342,859529,-1,-1,723469,527075,802453,-1,802574,-1,-1,565252,580702,-1,525128,-1,-1,-1,519679,642110,-1,324418,-1,-1,-1,755863,-1,-1,491392,793668,-1,444365,248443,-1,439279,-1,-1,-1,185634,-1,769592,-1,-1,452236,257996,19404,-1,-1,-1,177609,156155,-1,706885,-1,629152,-1,912074,446881,-1,-1,-1,-1,-1,-1,831532,585021,-1,485152,-1,251270,-1,-1,274221,-1,110703,-1,-1,-1,-1,689041,-1,-1,173226,445563,888623,800886,467914,-1,676094,444703,684504,-1,-1,342229,-1,358353,-1,591099,839067,-1,478835,358573,507102,923708,537858,-1,974022,776570,932156,982877,966246,890576,120470,-1,-1,812015,-1,5742,240556,-1,248997,-1,-1,-1,-1,-1,-1,260464,-1,-1,-1,704627,-1,869828,-1,292813,-1,-1,940462,-1,-1,-1,131738,517252,-1,601626,397506,528716,529592,934001,-1,230601,857450,979220,-1,-1,-1,546523,408892,-1,34464,-1,325414,-1,888036,925994,414903,-1,-1,-1,-1,466682,-1,-1,393262,-1,-1,91699,469559,-1,-1,579664,283419,-1,860850,-1,-1,396367,-1,-1,931946,-1,-1,575533,-1,121112,-1,860629,190153,656850,654328,320144,-1,574384,289681,839322,33935,-1,-1,-1,163751,-1,-1,111309,-1,-1,-1,613944,458475,-1,703000,-1,-1,905260,585895,533951,569054,606629,832850,-1,117673,-1,244340,697906,-1,-1,-1,-1,-1,374478,515023,546633,-1,916876,-1,-1,45545,-1,-1,444529,809588,417289,915602,187576,891076,-1,841326,152046,729255,90273,-1,-1,741224,-1,33157,858103,938213,-1,-1,875371,110648,798708,-1,-1,-1,-1,-1,-1,977501,167546,85405,-1,266763,-1,-1,484698,424639,-1,-1,-1,308719,574037,794491,790506,-1,840061,481068,604208,-1,-1,-1,148539,671186,599598,477268,-1,647779,968716,637333,191044,551423,-1,-1,-1,-1,514948,630369,-1,-1,-1,-1,361128,-1,434457,-1,965619,362460,-1,74735,255729,875231,-1,-1,-1,288734,-1,308495,-1,-1,-1,-1,-1,-1,-1,551847,-1,82420,-1,-1,874872,-1,814120,614486,-1,734836,579396,545796,34773,-1,280114,-1,919972,-1,-1,152338,25029,-1,194426,655274,-1,-1,424719,477257,-1,771262,-1,-1,346083,886718,717403,398167,-1,-1,-1,301691,-1,77348,46149,-1,-1,490024,375417,28582,-1,948213,906822,910333,39608,913629,-1,963798,-1,-1,990416,-1,666675,-1,-1,532416,111161,-1,517008,-1,-1,-1,-1,414101,-1,894040,-1,-1,666425,324824,375650,149902,-1,-1,-1,-1,47415,-1,-1,-1,402108,245809,-1,37184,871053,490722,123979,574365,-1,-1,587968,-1,347957,307577,-1,123592,150444,-1,214171,734329,335413,353397,-1,977477,396863,827840,567673,-1,-1,-1,37764,498148,-1,265729,-1,335276,-1,-1,447724,-1,66611,-1,114419,333610,841722,-1,-1,708265,583538,-1,812952,166806,176589,-1,-1,947133,-1,-1,-1,181750,-1,481052,176992,-1,-1,76619,331062,785186,-1,-1,398975,240084,67585,-1,693807,547340,-1,-1,122813,602797,-1,773284,-1,930844,30534,-1,272228,-1,-1,865193,851718,441249,-1,664058,-1,656535,697748,-1,934380,-1,259198,767714,-1,97789,-1,602552,71996,-1,92128,755035,325439,297359,-1,-1,-1,926138,649896,756363,908761,-1,-1,-1,677344,446430,-1,363381,481982,909856,-1,-1,350190,499661,59363,-1,57987,-1,149216,-1,-1,-1,235652,-1,682040,-1,93290,-1,660943,-1,871088,684915,356991,-1,-1,-1,450852,-1,376554,-1,592063,-1,53005,307207,472020,-1,-1,291392,-1,501405,20851,251976,-1,-1,872647,175369,-1,-1,23357,-1,-1,40259,49974,-1,-1,-1,476766,-1,461314,273396,449879,-1,523270,974523,875142,927362,-1,388836,399936,-1,184098,670583,-1,690155,-1,758910,-1,-1,396262,180055,594539,817130,-1,-1,-1,665757,-1,-1,-1,-1,-1,225528,861902,358049,-1,945569,-1,-1,-1,-1,847959,340552,372029,749659,-1,-1,-1,-1,-1,709070,89964,-1,-1,28820,-1,-1,232247,550956,171577,287772,-1,-1,-1,-1,-1,54711,968254,468750,613727,216794,-1,-1,-1,-1,-1,471043,667330,-1,747230,-1,-1,606727,-1,807841,825994,852691,585945,991309,180037,-1,-1,704907,-1,110026,272555,167345,-1,258978,-1,-1,-1,-1,657159,847571,-1,247213,151938,-1,-1,777492,435649,-1,387749,-1,-1,-1,-1,-1,-1,399423,580826,-1,581387,-1,-1,817171,-1,168672,281568,836833,371024,913971,-1,120259,-1,616680,304228,510359,657768,-1,453678,955732,747910,-1,-1,-1,-1,243353,337022,-1,-1,-1,276869,976642,-1,605131,-1,141098,-1,-1,166391,962802,269318,-1,487944,-1,580393,908203,-1,674467,-1,-1,473050,-1,386403,156663,-1,721256,-1,-1,936405,504228,218554,-1,-1,35565,932135,240296,-1,-1,334616,-1,-1,-1,-1,-1,-1,-1,78834,394407,-1,-1,-1,-1,364386,489787,-1,-1,327661,958246,-1,-1,-1,-1,-1,345534,-1,-1,-1,-1,-1,-1,-1,-1,351350,-1,497810,-1,-1,-1,-1,-1,210288,589,809905,-1,916924,-1,935796,720007,-1,-1,962382,-1,354867,-1,-1,611762,802425,-1,272053,746140,-1,564801,15820,260136,-1,-1,-1,-1,344012,620412,-1,744361,-1,882805,958343,-1,910089,858840,651167,636388,181872,-1,-1,-1,111800,183399,929574,-1,-1,475640,821585,-1,653325,-1,-1,-1,-1,-1,499332,-1,597384,310061,-1,-1,543387,924492,-1,798801,-1,936985,-1,-1,931177,46791,-1,-1,-1,-1,-1,96773,-1,-1,-1,58101,-1,788486,-1,-1,178384,-1,-1,416764,-1,-1,230798,255295,223715,856732,957031,560432,543072,92417,262647,-1,-1,-1,62043,504634,-1,38633,502357,201339,543494,-1,872753,-1,-1,-1,-1,-1,-1,-1,-1,164386,-1,869393,924933,-1,-1,-1,306640,156133,125018,-1,806186,982020,122433,37317,14117,-1,-1,-1,-1,660349,-1,-1,-1,635301,803113,-1,773800,58696,-1,-1,-1,-1,352766,976460,-1,-1,-1,-1,-1,-1,-1,845352,686840,-1,-1,-1,8943,-1,457426,971103,-1,-1,-1,-1,-1,-1,499801,-1,67736,269877,158895,-1,341859,-1,446776,430049,917847,-1,997710,616149,116083,813907,144749,-1,-1,834190,-1,673738,920967,599795,307561,-1,-1,-1,-1,891933,879187,285150,578199,678352,260244,-1,933143,-1,-1,-1,644716,-1,44582,110637,913521,59902,903188,-1,-1,111744,-1,920217,102747,-1,238447,214969,-1,780770,433561,-1,-1,-1,789406,78420,-1,564639,14204,617268,-1,322499,-1,422345,-1,-1,229330,976912,183508,-1,-1,467312,-1,478654,-1,662511,-1,-1,887396,926065,508834,475683,156892,-1,-1,972656,-1,-1,-1,681914,-1,924309,936774,-1,346189,200919,-1,286448,953230,-1,802791,622650,-1,-1,407719,819989,189637,756234,-1,-1,458515,839555,222469,-1,-1,-1,-1,353698,788801,-1,-1,161905,-1,627898,-1,-1,-1,485452,-1,371904,-1,630853,-1,-1,249103,-1,973902,-1,534704,-1,-1,137692,-1,-1,581852,852144,-1,-1,193814,700030,-1,-1,330939,-1,-1,221281,-1,-1,277190,-1,231394,-1,739986,-1,-1,-1,52908,-1,-1,891515,-1,650226,-1,-1,-1,-1,132882,794528,179915,-1,-1,-1,-1,993422,-1,679309,-1,828601,-1,-1,-1,-1,265404,713495,-1,-1,328350,715349,-1,-1,607304,-1,531955,-1,659597,917984,402983,95141,599041,920420,-1,-1,-1,-1,182736,-1,-1,351294,-1,-1,-1,430007,454558,-1,65538,-1,-1,-1,963079,623461,605016,-1,-1,860509,-1,638882,-1,-1,-1,769177,-1,585435,-1,-1,-1,784557,-1,-1,-1,515563,-1,-1,762290,396659,-1,64784,-1,504544,981012,171449,-1,-1,-1,-1,261353,-1,-1,987438,395013,-1,602155,655197,-1,864425,243056,-1,126306,-1,219504,-1,-1,840857,19477,290704,799778,649377,-1,380077,443046,-1,-1,-1,374772,-1,8230,-1,-1,-1,-1,-1,935250,-1,392895,353882,-1,-1,218711,-1,51021,-1,108310,-1,712488,926879,429019,894168,-1,-1,401086,155585,-1,655798,297440,-1,-1,296192,452011,246890,-1,-1,-1,223407,706905,446124,-1,-1,279789,369507,782868,296894,-1,703495,-1,133227,-1,-1,806073,-1,692973,-1,138473,248426,-1,-1,71457,-1,-1,828002,-1,610536,-1,-1,111483,-1,-1,445536,-1,711382,295056,-1,521900,-1,794143,-1,-1,387078,-1,-1,153972,927924,-1,782226,-1,-1,123503,838984,-1,-1,452047,299594,219060,-1,-1,-1,-1,821702,62337,245413,-1,30065,987482,-1,589827,428075,-1,177449,867058,-1,926790,218921,-1,366066,55179,932035,577101,584731,314860,90448,742702,-1,371558,-1,28461,-1,-1,-1,775209,801359,621753,150431,-1,72977,245322,-1,63412,-1,-1,296158,230227,403758,-1,-1,756641,-1,-1,111784,446534,203390,465552,-1,160125,103184,701067,-1,729680,986193,95161,-1,547744,608772,194313,535745,-1,47577,630309,421763,444754,424640,482780,-1,-1,75238,332117,563478,255264,996772,258924,-1,-1,-1,-1,85473,-1,216373,551089,-1,542041,387840,541423,363124,-1,249548,-1,726702,710867,788056,27424,540224,-1,951245,36703,780695,391336,-1,309082,42576,885451,845588,-1,436622,-1,826147,-1,-1,685977,-1,-1,-1,-1,-1,787497,922064,-1,121649,-1,-1,-1,930205,612289,-1,51581,-1,433963,-1,630339,-1,353583,133781,817478,-1,347076,549911,332943,129734,-1,595084,14495,-1,853705,307674,-1,163804,112807,547776,-1,-1,-1,-1,-1,299017,389004,26392,918192,-1,-1,-1,398149,504193,190971,569193,-1,47053,728362,19527,276372,-1,-1,-1,-1,262307,698604,-1,25277,-1,316886,167131,867782,746254,-1,985580,-1,-1,-1,-1,671652,399813,892461,-1,-1,-1,-1,-1,-1,703267,-1,346326,175719,443156,340181,-1,-1,451016,229200,-1,794985,689923,705587,351484,22992,-1,856976,-1,-1,-1,-1,-1,55477,213100,-1,958503,367701,689499,-1,-1,760770,161346,-1,-1,-1,-1,331510,11940,-1,461827,847993,-1,-1,973453,521687,677239,-1,-1,943976,-1,-1,228669,-1,-1,-1,866999,-1,-1,524112,794940,580266,672888,-1,-1,814198,-1,529005,851146,285864,472096,755984,865801,343256,211219,672110,940992,847317,702037,-1,428359,-1,871881,879270,-1,-1,-1,-1,-1,-1,369177,902336,658841,108288,-1,329659,-1,713164,836671,-1,817996,-1,-1,-1,917173,160403,319717,-1,-1,-1,-1,87538,-1,-1,-1,119657,-1,709570,-1,914920,-1,929239,-1,773903,-1,-1,-1,490818,177980,769443,-1,-1,13060,-1,-1,710183,604428,-1,984878,-1,801769,-1,-1,931574,-1,-1,544812,415931,99708,-1,-1,-1,316311,817523,404199,905659,-1,694583,621289,668765,-1,381985,742029,999706,-1,198808,-1,131102,17554,-1,280782,-1,617254,116461,449837,-1,-1,-1,-1,-1,-1,-1,911949,355930,15754,297806,571017,776115,-1,332009,-1,-1,41842,-1,850373,-1,-1,466903,872479,564995,839603,325205,-1,739312,-1,844388,-1,481304,715195,-1,-1,-1,-1,963204,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,780608,978998,971672,186205,-1,483245,-1,-1,-1,-1,654254,537188,628245,265319,-1,-1,464677,91044,876950,-1,-1,-1,192189,-1,5501,-1,469461,-1,-1,521679,-1,383347,818469,-1,-1,734412,-1,-1,247735,238654,53269,424704,-1,-1,66781,-1,706146,-1,-1,584003,809450,142994,757469,-1,505437,820969,651256,829796,-1,938325,957609,159741,-1,451926,-1,436262,836759,-1,748894,978035,-1,-1,304851,157521,-1,891851,-1,-1,386234,-1,-1,300342,66055,575396,-1,-1,677228,-1,575669,-1,-1,-1,492709,992284,-1,634678,66991,295986,-1,-1,104330,744456,-1,96767,-1,-1,544799,-1,686727,-1,559142,-1,391486,79570,-1,-1,552697,-1,-1,677643,827762,-1,-1,-1,758476,415864,-1,326629,342052,-1,364001,-1,-1,600904,-1,425122,-1,93178,732412,704780,555377,-1,120160,-1,-1,-1,-1,26818,-1,-1,-1,-1,815870,-1,-1,-1,341276,910341,436991,516652,69903,289674,-1,-1,-1,79871,221974,-1,412872,393165,-1,-1,215850,15429,-1,182696,221248,-1,-1,-1,-1,-1,-1,-1,980112,890249,936251,967197,-1,407526,-1,699198,-1,430355,713718,346853,617575,541449,266128,-1,-1,-1,568148,-1,741551,-1,-1,-1,28050,-1,-1,786816,848126,-1,-1,-1,-1,-1,-1,559861,-1,-1,341921,893936,521406,39717,-1,982192,347797,-1,-1,-1,-1,-1,-1,847180,29491,-1,-1,-1,-1,-1,-1,-1,384156,541965,594441,-1,132167,756271,-1,-1,197471,-1,-1,-1,-1,-1,-1,-1,-1,203320,744942,-1,908677,670096,-1,780379,346993,-1,-1,-1,206735,441994,274137,233453,90598,-1,799678,417303,-1,487728,-1,-1,-1,285577,-1,-1,460564,-1,-1,-1,265137,875947,-1,226890,982414,955014,-1,929841,225089,-1,-1,146098,480759,947227,-1,428072,771838,32365,40548,-1,871700,474628,393632,-1,681746,-1,-1,-1,737403,848585,335623,770819,-1,465464,-1,750741,-1,-1,36411,-1,-1,90216,658147,-1,-1,-1,-1,-1,211780,109667,-1,-1,66075,-1,-1,-1,-1,939260,283476,701179,-1,-1,925343,590028,-1,-1,527958,-1,780931,-1,-1,-1,240582,269298,427209,230175,-1,-1,-1,51355,-1,177072,436313,-1,621362,236786,-1,272259,-1,284054,495987,-1,536961,-1,9821,-1,972229,-1,397555,575857,-1,151243,-1,873491,421675,-1,309184,-1,664344,-1,-1,-1,-1,874979,-1,-1,-1,-1,-1,916952,-1,477188,-1,-1,651749,-1,517242,-1,704954,961602,-1,608468,211096,265715,149181,-1,545813,-1,-1,-1,225190,470041,293437,-1,-1,-1,-1,26484,-1,-1,-1,839488,723078,-1,-1,-1,536788,530269,-1,953877,453793,826639,-1,714819,914580,587165,-1,-1,598655,306929,771271,922239,-1,-1,-1,217968,768856,195084,-1,-1,329676,433411,176522,931733,-1,716643,-1,-1,188493,615041,402065,-1,-1,903324,-1,829181,-1,77968,-1,-1,666508,232232,-1,-1,700203,148231,37757,-1,-1,-1,881677,-1,-1,-1,108390,-1,-1,-1,-1,-1,249629,-1,882056,590124,-1,748667,228503,762683,373752,-1,-1,50411,-1,777362,314091,721622,-1,150324,-1,648205,-1,-1,981650,-1,-1,-1,-1,-1,51554,655564,983449,261821,403340,-1,4988,-1,516452,886753,705784,739878,-1,-1,200402,583670,92816,137928,840416,-1,-1,766414,353437,-1,-1,986977,159859,431412,-1,500483,-1,-1,-1,622065,-1,-1,211142,219354,-1,936979,-1,-1,-1,362988,489521,650614,-1,5922,943520,-1,-1,203539,980836,706754,476939,900003,-1,875889,-1,-1,645680,196111,469405,347279,-1,805354,-1,856510,-1,422960,45081,-1,711871,540066,-1,364693,-1,-1,446084,927933,530407,41540,-1,399539,-1,40872,461075,-1,-1,-1,217329,764072,871564,-1,-1,-1,112477,314704,-1,-1,-1,220751,652768,970261,289853,-1,27453,-1,-1,-1,846475,755476,150107,866212,-1,439155,521487,267640,205094,252607,-1,-1,20819,-1,423027,-1,-1,-1,-1,-1,985084,-1,369221,-1,-1,559417,902512,-1,689021,219656,-1,982983,324918,-1,215433,54071,547700,536651,502212,947074,-1,-1,-1,472562,-1,-1,-1,-1,9705,159513,818589,32959,-1,-1,-1,364305,-1,571603,-1,-1,-1,386481,-1,579630,583920,-1,-1,713394,127731,-1,263501,-1,-1,624345,903087,-1,-1,316444,28706,966554,707699,552462,-1,407722,244945,168906,984244,-1,-1,66293,56262,-1,804659,-1,-1,804270,11738,-1,-1,237730,-1,-1,732826,-1,331730,385629,-1,799505,-1,-1,-1,661685,644115,731310,-1,488040,-1,753240,949866,-1,389202,472398,-1,-1,770752,102562,261767,947699,-1,763084,622508,748323,318114,384184,489962,-1,-1,853632,329464,591629,-1,-1,161232,-1,484179,895314,67268,19417,-1,-1,971817,183081,432458,-1,-1,-1,974321,973779,702512,777251,-1,800724,-1,399725,-1,-1,439051,-1,-1,665944,983984,-1,511148,89309,-1,-1,35111,-1,-1,-1,-1,-1,321128,-1,-1,597963,489244,606605,614411,175701,238108,963859,-1,-1,805918,-1,-1,-1,-1,564666,-1,-1,-1,-1,499616,400500,915444,-1,-1,782376,213641,-1,64892,-1,-1,-1,601112,-1,-1,782732,-1,-1,270940,-1,651759,267250,-1,-1,-1,-1,-1,175735,934999,188002,756707,-1,-1,812863,649315,-1,196709,775355,-1,862287,862005,924100,808405,436868,665333,-1,947765,533411,659026,-1,-1,407831,235344,-1,-1,972201,-1,-1,-1,493080,210669,-1,-1,-1,-1,-1,-1,205300,-1,207110,-1,-1,306465,-1,-1,809148,909033,-1,-1,515891,275312,-1,-1,-1,-1,-1,517961,-1,-1,-1,-1,874571,-1,728419,739693,-1,969350,409504,342326,445546,605062,453203,-1,-1,-1,-1,-1,972164,836658,839240,899656,-1,-1,-1,84651,-1,638094,254065,389667,-1,331066,-1,-1,-1,860463,583630,221525,850825,-1,-1,709838,426797,-1,171436,-1,511018,-1,-1,-1,-1,-1,-1,875709,811393,-1,430676,-1,169496,-1,-1,873130,525911,674070,453135,-1,-1,-1,-1,-1,340583,-1,-1,-1,65718,-1,-1,-1,62425,-1,921514,-1,531921,44783,64408,508092,-1,-1,-1,738479,-1,-1,223641,-1,-1,-1,70347,-1,693522,487321,-1,185172,-1,-1,664774,-1,345486,489195,106058,-1,-1,-1,915884,-1,-1,-1,-1,-1,-1,483935,829977,116208,180929,-1,867662,-1,-1,8210,298328,856782,-1,586386,93549,-1,33669,-1,-1,806998,412219,-1,160503,-1,-1,-1,-1,-1,-1,-1,-1,337690,-1,69172,-1,-1,-1,106312,806724,420718,637714,567439,-1,308250,965974,-1,-1,536712,-1,272042,817555,-1,-1,-1,-1,-1,-1,-1,477424,955064,-1,-1,-1,-1,753353,-1,-1,978206,629346,801812,-1,568816,727726,35799,954606,546529,753939,-1,811864,321536,-1,989739,924078,602871,-1,-1,-1,-1,722117,325417,712608,30933,-1,-1,803386,-1,644911,186991,-1,-1,62423,-1,344929,42002,307102,-1,427021,934789,291991,-1,581795,361562,437513,883738,957376,636633,-1,-1,-1,-1,728195,189422,231563,780495,827774,-1,-1,-1,465172,-1,-1,416136,-1,229312,923300,-1,-1,-1,983939,-1,192899,418778,124594,624308,181705,23756,888205,-1,726620,-1,-1,929731,835951,385750,657281,-1,829160,319415,383942,566705,-1,-1,-1,-1,530699,69040,-1,-1,248810,833434,-1,-1,-1,211851,-1,-1,789804,302905,-1,350150,32524,-1,-1,-1,-1,-1,-1,-1,-1,900567,710112,381815,-1,-1,351808,350933,96207,647427,-1,-1,983436,-1,35717,-1,60020,911790,83104,794162,262008,-1,-1,594594,-1,514740,-1,-1,-1,462863,-1,370103,550915,805065,-1,513532,793589,-1,445411,-1,-1,765556,884018,375437,629622,893422,-1,-1,287152,29494,-1,143334,26825,-1,-1,-1,468254,-1,-1,177390,-1,-1,-1,-1,-1,176264,-1,173178,440025,163788,879490,920132,421119,893257,140830,-1,84334,-1,-1,374448,-1,972396,56180,62622,-1,706984,-1,-1,302560,896659,138310,-1,918836,-1,591622,-1,-1,549895,-1,890870,-1,727064,-1,-1,-1,-1,-1,-1,93624,-1,-1,-1,827702,749220,218891,-1,987661,432096,-1,-1,-1,784792,-1,-1,-1,5265,-1,438129,505982,933407,-1,815686,616816,-1,498977,389790,288338,-1,-1,-1,670262,-1,639431,-1,305651,-1,-1,-1,493381,359144,-1,-1,474564,100593,263050,575081,957606,599595,-1,-1,-1,489167,-1,81062,285041,-1,-1,-1,-1,242502,950241,-1,372264,958234,-1,-1,-1,646216,-1,-1,-1,-1,-1,538145,519277,-1,20494,-1,-1,-1,-1,394027,-1,593307,-1,769323,281632,-1,26278,-1,921048,639324,84925,672695,-1,-1,-1,207400,-1,505930,-1,-1,884473,-1,464521,-1,953850,250598,-1,738878,-1,655282,907000,-1,943364,-1,-1,-1,779587,901531,-1,414531,694119,204719,-1,-1,-1,517772,628186,-1,187678,576093,787511,308697,218277,342995,826919,323192,615485,-1,-1,177242,684200,-1,-1,-1,8659,417505,131242,-1,-1,-1,604226,-1,-1,413965,583001,-1,-1,411346,490284,97838,715234,-1,86644,428085,-1,152272,-1,865782,225028,292066,-1,581319,-1,-1,-1,-1,-1,-1,-1,-1,585484,587110,-1,141499,676784,238305,-1,-1,479172,848109,-1,601981,6603,728247,313397,933136,968800,291914,641933,361627,729013,134224,-1,-1,-1,445320,-1,805326,979652,-1,315495,436921,310230,-1,730035,-1,552042,-1,-1,-1,424267,143800,-1,-1,721663,333290,-1,-1,389150,886250,-1,423637,-1,36989,761283,586675,374575,95276,-1,70041,815191,342636,378992,-1,-1,392937,-1,816692,-1,791584,-1,-1,-1,-1,802431,226161,-1,-1,618527,-1,-1,-1,251536,-1,-1,297459,-1,-1,612375,-1,387495,656932,746913,208247,470810,985823,913152,399757,296028,-1,213853,674922,746033,-1,-1,-1,400865,138558,-1,-1,48390,846840,-1,-1,-1,-1,-1,747465,233418,385154,-1,-1,432928,799952,888508,-1,-1,-1,-1,-1,-1,307747,993912,-1,-1,672367,-1,371938,-1,-1,-1,647339,-1,-1,481665,-1,-1,958898,-1,694115,671355,-1,186498,201142,-1,691765,867947,-1,713816,-1,384831,761378,-1,582398,-1,-1,-1,-1,-1,-1,728241,422906,808408,366455,390392,-1,-1,-1,208041,779862,-1,-1,959879,802976,-1,222199,-1,860175,979638,573983,-1,-1,139976,448648,831889,586227,110641,242731,645622,-1,252299,-1,447240,-1,637951,-1,-1,-1,-1,-1,-1,-1,-1,-1,894696,-1,-1,-1,-1,-1,-1,96735,979416,-1,493983,-1,-1,338334,-1,79985,-1,449564,514333,-1,-1,344039,870216,-1,816108,-1,561933,177987,944285,-1,62769,111950,409843,105340,715329,-1,295694,-1,-1,678991,-1,-1,971199,859028,608582,200787,-1,227810,-1,657564,32099,271192,228509,-1,-1,300461,-1,458598,-1,-1,695304,-1,309663,135636,-1,191771,-1,251879,-1,-1,569671,-1,-1,369130,-1,-1,-1,281227,702121,-1,99245,-1,-1,-1,652035,-1,-1,483054,-1,-1,-1,847113,-1,-1,-1,289033,-1,529072,145954,907869,-1,21618,-1,914394,-1,80217,-1,384328,-1,971654,511185,-1,960920,-1,-1,-1,806479,457349,446309,-1,-1,682363,-1,2941,593601,441793,-1,-1,644759,-1,-1,-1,425496,896900,-1,151039,906070,520400,-1,-1,-1,235392,662335,-1,-1,221322,-1,-1,729830,-1,433509,-1,335327,415576,550196,-1,719504,155627,-1,452659,-1,-1,273110,-1,-1,-1,-1,-1,-1,-1,652376,-1,-1,-1,-1,-1,-1,-1,751189,-1,41518,557576,887206,104016,-1,524213,-1,-1,-1,-1,-1,913355,903225,471687,-1,416913,-1,-1,705136,-1,639386,934384,-1,-1,7300,-1,-1,801057,928642,946185,702277,579303,-1,965237,83640,146649,-1,816456,-1,762090,181774,867476,-1,-1,702131,-1,-1,-1,-1,591360,-1,114637,-1,548124,172739,508199,651313,85853,582767,953591,911049,-1,-1,755931,-1,-1,-1,584125,54278,-1,-1,-1,235512,-1,34462,-1,-1,-1,-1,-1,-1,-1,-1,712164,265806,-1,-1,387746,830251,-1,-1,216710,502939,-1,-1,-1,-1,721044,338074,782880,735042,46176,-1,-1,28292,800928,-1,-1,-1,113927,-1,-1,-1,-1,-1,885386,397740,407910,160859,841968,641994,-1,-1,-1,-1,769455,-1,823808,250767,-1,-1,673573,-1,-1,-1,-1,-1,263912,554673,-1,927263,920062,224623,587833,43731,869913,-1,904307,-1,-1,804878,-1,-1,792898,-1,-1,-1,-1,-1,757779,297300,622947,264826,-1,310013,-1,251122,681393,72723,554341,-1,-1,-1,-1,-1,870783,177211,-1,4243,-1,138404,-1,972927,-1,940283,-1,-1,306170,869962,-1,-1,-1,-1,243547,209658,-1,-1,281282,185873,-1,815854,-1,291821,213178,-1,-1,-1,-1,115034,-1,567693,-1,754106,-1,-1,715197,911477,7199,6538,234587,469708,746401,-1,-1,444126,-1,289027,970294,735104,532044,377464,203368,-1,39196,943570,967492,171531,891443,609812,778252,-1,228164,891787,784077,-1,-1,950222,792476,-1,283229,8859,-1,274692,100662,-1,423383,-1,-1,98327,365879,2121,-1,-1,660245,218934,-1,-1,-1,998473,121405,-1,-1,537284,-1,-1,263681,269775,-1,945107,878086,-1,-1,349926,-1,-1,-1,-1,673537,-1,936821,528134,723986,-1,756820,-1,-1,832677,467300,-1,-1,981191,696069,-1,286600,-1,-1,202990,941055,-1,242374,-1,-1,-1,151114,-1,15966,-1,-1,856904,51025,756832,-1,22511,3068,-1,705758,-1,633435,-1,328109,308278,-1,-1,-1,723729,-1,-1,-1,-1,-1,-1,632722,-1,303873,-1,614398,-1,-1,268100,-1,-1,536671,-1,-1,408338,362524,308942,-1,676753,711274,-1,-1,-1,-1,805242,167077,817458,-1,472435,797282,135182,682174,-1,110992,873098,-1,153391,-1,-1,-1,-1,-1,-1,-1,918831,-1,-1,646654,-1,71309,179571,-1,-1,13103,-1,-1,-1,382293,627004,697817,47868,-1,963457,243041,578591,-1,-1,681883,-1,-1,773,-1,-1,-1,-1,-1,409469,275901,308464,-1,70820,-1,182918,692391,-1,255529,-1,-1,-1,-1,698154,-1,-1,-1,-1,167433,-1,244724,-1,523261,-1,327195,-1,-1,847195,693080,-1,-1,-1,-1,994724,-1,728820,-1,313524,285231,360520,896737,358256,-1,586016,45132,596527,542476,870819,805183,-1,-1,677564,-1,-1,-1,-1,-1,13989,148379,-1,482386,-1,131387,-1,887723,-1,657245,-1,-1,331919,853045,-1,534975,725522,-1,-1,139225,-1,160692,14089,-1,-1,207009,161251,58956,-1,-1,815235,225565,952962,222288,659955,-1,-1,33606,995479,-1,584680,627875,-1,-1,339821,-1,-1,-1,-1,939915,43929,757590,267565,824836,289317,-1,-1,783222,-1,848326,-1,-1,776098,476262,660488,-1,-1,-1,137061,964913,-1,230038,-1,777781,-1,648532,-1,-1,943311,-1,-1,599485,-1,-1,858470,986382,-1,-1,947551,-1,198448,-1,-1,-1,-1,-1,-1,-1,959571,672284,480467,-1,-1,-1,-1,985700,-1,-1,785948,444326,620333,418398,-1,-1,423820,-1,-1,-1,-1,285743,-1,-1,366991,-1,-1,-1,-1,-1,-1,368807,963018,293841,-1,-1,-1,-1,-1,67147,120213,400392,-1,585318,-1,627687,195184,-1,-1,-1,-1,-1,-1,207997,-1,-1,486239,266544,394840,-1,702563,-1,644249,-1,-1,-1,-1,731469,-1,-1,532877,800808,218654,674362,-1,-1,875065,-1,373684,-1,325765,-1,-1,189992,-1,-1,-1,-1,-1,179032,-1,-1,185945,-1,710325,103474,349447,8604,-1,908918,-1,-1,136222,934756,129172,301318,-1,-1,749123,263232,-1,-1,469340,-1,-1,-1,692262,562777,930420,-1,11070,446400,-1,272307,688851,107382,602716,-1,-1,-1,-1,-1,125135,352847,-1,209003,982239,-1,592553,-1,866484,622957,502968,-1,-1,-1,-1,137524,-1,-1,555686,874521,-1,644054,-1,-1,-1,324924,9890,559944,-1,424447,-1,-1,-1,1123,57251,744662,-1,180279,267023,-1,-1,241664,-1,-1,-1,-1,275607,-1,521589,198477,606071,853431,57577,-1,681268,928264,940389,225589,171925,89869,-1,733065,-1,344100,-1,-1,192463,-1,329684,-1,988934,371773,214213,-1,248748,359369,-1,-1,-1,44118,812334,5005,682525,302292,554444,-1,193949,478747,854437,360992,-1,288827,-1,-1,-1,783372,-1,-1,160864,-1,-1,976185,538678,296932,821168,303238,68277,-1,777421,-1,-1,997691,96231,-1,605954,531471,-1,-1,826095,-1,-1,-1,336084,622135,-1,-1,-1,285865,705675,-1,-1,-1,722719,680092,521160,-1,-1,557875,-1,176963,729541,-1,621746,898293,62894,-1,-1,-1,128540,-1,795970,636774,-1,504295,5449,247917,-1,615858,-1,782437,378772,-1,505928,-1,180961,-1,303850,389713,97117,-1,-1,229765,265073,442043,769398,937707,435958,-1,-1,-1,-1,139134,219963,96569,270771,13374,44510,740868,232820,-1,-1,-1,-1,-1,227760,844327,-1,-1,381843,281083,273003,-1,-1,-1,862585,-1,727219,294058,823739,-1,-1,-1,180070,-1,-1,-1,906695,270883,551517,-1,151053,-1,407515,263272,-1,-1,461041,711910,-1,572600,350917,283724,-1,144369,-1,-1,-1,220471,-1,578316,-1,14160,432609,-1,-1,796327,-1,321284,178528,88858,851335,833704,986053,253175,468356,-1,-1,558309,967054,-1,-1,-1,377987,-1,178175,92945,917998,-1,-1,729219,950365,170371,-1,-1,944935,664130,800061,589453,165863,192956,245098,-1,-1,208276,443119,691042,947215,458558,877615,-1,98361,348200,-1,-1,327087,230900,-1,736438,-1,-1,8602,681747,-1,562152,663607,-1,528441,864630,-1,48056,-1,-1,-1,645530,-1,-1,302641,-1,-1,-1,2273,-1,-1,616508,-1,-1,492533,144648,-1,319877,129715,636351,-1,561036,752774,-1,-1,12574,-1,-1,86016,-1,-1,-1,-1,-1,271437,-1,549755,-1,-1,56359,-1,-1,395000,705786,741341,458691,-1,-1,-1,-1,637597,816750,145527,419809,169444,-1,709026,-1,-1,252291,335155,9714,432319,297775,-1,652943,-1,498877,-1,-1,-1,-1,789980,681381,-1,231790,-1,939841,-1,889056,-1,560203,531901,-1,510178,-1,-1,-1,-1,-1,166181,511809,-1,355337,100767,-1,487542,-1,-1,305591,533359,-1,753116,-1,-1,97189,-1,215742,-1,694588,-1,357647,660096,-1,134454,75757,-1,-1,-1,482337,-1,-1,486920,-1,764452,789877,-1,-1,668831,-1,-1,-1,119678,-1,168665,-1,-1,844790,553559,323424,543297,676728,-1,221717,-1,-1,-1,-1,977954,978850,-1,514618,-1,150526,822123,-1,268724,423785,-1,-1,26501,551445,623244,704319,386241,733662,-1,-1,549165,-1,-1,352770,-1,997194,-1,-1,368903,-1,-1,185974,560965,-1,923896,110170,371114,-1,86416,455936,581597,398987,-1,-1,-1,-1,-1,433496,375407,898796,-1,-1,-1,713144,-1,-1,-1,137630,-1,-1,-1,678634,-1,227352,908140,196223,797705,-1,-1,807670,-1,945438,785099,-1,891593,678280,537421,449061,-1,-1,100660,-1,202952,-1,-1,-1,538803,-1,-1,450640,-1,-1,-1,285877,-1,574269,-1,660969,-1,81949,-1,-1,6324,346197,-1,13719,-1,-1,-1,-1,677494,871201,845336,186945,396887,-1,488213,-1,-1,993690,-1,-1,-1,-1,-1,195849,965573,-1,-1,-1,856229,202058,-1,163275,213312,-1,405839,-1,-1,212983,-1,309121,94639,679395,-1,579403,323883,-1,-1,-1,704743,-1,224120,431344,771113,-1,866967,556752,-1,545640,-1,-1,780621,441024,108988,-1,428470,185648,16106,239412,-1,-1,249064,117896,2655,181965,725992,652013,419462,-1,-1,-1,-1,774050,-1,303747,-1,472594,9314,391667,-1,853578,464179,-1,-1,-1,-1,-1,-1,325112,933929,258385,-1,179067,-1,310947,-1,-1,-1,134422,498190,541143,-1,-1,-1,311053,171113,-1,-1,-1,-1,574214,-1,479688,-1,-1,840037,-1,817710,-1,590925,119787,-1,-1,-1,-1,667296,268628,-1,914425,-1,515666,514531,-1,-1,402054,-1,269143,-1,781859,-1,467690,305121,-1,8003,-1,-1,-1,-1,-1,-1,661625,-1,63777,-1,-1,-1,100794,-1,646641,125420,-1,514442,-1,445009,109030,625820,713316,-1,975118,897061,-1,-1,34118,390619,434862,-1,200519,-1,-1,505498,161094,505326,377787,841058,-1,398464,738238,-1,-1,211267,-1,-1,-1,639458,-1,-1,288376,514274,776768,-1,885164,541071,532321,-1,-1,-1,-1,-1,-1,115191,-1,601798,-1,-1,588898,983379,623597,-1,838908,-1,151879,343869,133678,85667,-1,-1,114174,-1,-1,-1,322264,-1,-1,-1,419618,717721,301253,343103,-1,515715,607350,-1,49189,842334,575753,796236,617340,-1,781668,-1,-1,-1,983303,470000,-1,386619,697113,-1,-1,-1,902344,621712,-1,-1,-1,-1,102486,41991,-1,-1,-1,128772,22652,-1,-1,305202,-1,779200,945075,49012,-1,460699,-1,248998,-1,-1,329201,335927,812251,852108,-1,45191,-1,710991,582322,992574,-1,-1,585241,-1,968209,243012,-1,576421,826593,779197,266053,-1,-1,-1,-1,874193,-1,213759,-1,949280,251303,547933,-1,-1,976804,457082,34082,-1,-1,320605,379769,830700,599842,-1,-1,402615,112752,624788,-1,-1,808254,432326,245663,122004,238016,110414,-1,871371,-1,16178,-1,-1,-1,617500,-1,536093,840629,-1,105157,935269,727914,985003,-1,620513,505444,-1,993842,-1,-1,686011,-1,-1,-1,195548,-1,417138,43857,19075,363975,703503,858111,711354,-1,-1,730412,-1,-1,738218,949651,-1,-1,-1,-1,-1,-1,-1,129402,9992,-1,42694,127665,631909,-1,978812,-1,271903,-1,-1,895391,-1,128523,212902,-1,701592,-1,-1,396769,129683,-1,524227,-1,251219,-1,17578,162929,-1,-1,-1,272023,41725,-1,-1,-1,-1,698093,525873,107758,583508,983692,-1,-1,-1,-1,-1,-1,397263,-1,-1,-1,-1,12895,252441,-1,588616,560868,-1,908515,851678,800464,625898,-1,-1,-1,322882,-1,961327,934887,666456,-1,527269,938024,-1,587597,124088,898842,496221,-1,-1,-1,495368,-1,-1,-1,-1,-1,-1,22274,-1,-1,-1,-1,260796,304551,-1,346111,12063,173707,-1,-1,-1,200884,873432,783255,174086,-1,-1,-1,-1,107236,-1,6771,-1,-1,-1,-1,-1,-1,-1,912837,815061,-1,-1,-1,658340,937012,837644,-1,-1,773227,-1,40064,-1,159778,996780,-1,-1,499866,549433,-1,-1,720288,-1,117370,-1,-1,-1,-1,804286,-1,216856,-1,643361,278769,-1,58567,-1,555631,-1,937233,707830,-1,-1,503873,-1,338075,11843,730391,-1,872312,192703,797228,-1,-1,-1,216230,-1,-1,-1,939711,-1,571640,299520,-1,-1,687812,-1,-1,-1,-1,-1,-1,485007,518072,-1,-1,-1,-1,-1,-1,992131,-1,687996,-1,-1,834603,743397,-1,219925,-1,-1,-1,490183,-1,656271,278733,-1,-1,-1,949006,-1,116866,624492,811988,-1,-1,-1,-1,502923,-1,983777,-1,190560,55479,759055,-1,-1,-1,-1,-1,881273,-1,844469,-1,939864,394163,409904,912025,-1,461319,-1,-1,-1,13185,442915,-1,-1,320319,730194,772181,428600,307892,317946,168461,551603,-1,-1,-1,-1,704939,307090,-1,501818,212603,-1,721412,257945,985358,17266,-1,-1,-1,197979,821527,-1,104402,-1,666058,677143,-1,-1,-1,455248,-1,-1,-1,-1,634868,595570,-1,35751,-1,-1,-1,-1,-1,-1,-1,371258,-1,503394,213928,-1,231924,-1,-1,19337,968329,862438,-1,958344,-1,-1,417068,-1,616143,-1,130554,553786,713768,-1,-1,660779,429475,466714,191452,-1,-1,-1,684514,518141,424687,-1,-1,347588,131305,248852,263286,-1,735565,-1,-1,-1,578104,764142,-1,-1,584383,-1,-1,148867,972668,-1,395393,640651,357750,-1,610369,-1,991162,-1,393763,475938,215681,705969,-1,861757,-1,877493,928913,827692,293186,241406,813741,-1,706499,-1,-1,-1,-1,-1,-1,-1,-1,656272,618944,311837,-1,-1,416005,388225,251087,645194,703653,-1,-1,243643,-1,-1,158168,950891,-1,-1,-1,-1,-1,-1,951563,-1,-1,-1,-1,-1,319109,827939,971393,-1,300437,-1,-1,-1,-1,251637,-1,-1,-1,274475,490231,-1,160932,-1,-1,31620,-1,-1,-1,329100,-1,106091,658806,-1,18606,-1,664121,53525,-1,829536,-1,-1,-1,635529,919242,813887,394364,828302,-1,-1,439075,81379,-1,-1,114860,-1,929805,650921,-1,3975,340825,-1,-1,-1,184298,100597,600662,-1,13672,78698,288578,672111,-1,-1,596714,-1,206114,-1,-1,254434,-1,690451,232840,357595,-1,-1,-1,358226,-1,-1,-1,164117,43163,-1,-1,721860,215455,-1,-1,993442,449077,258051,-1,183919,-1,95789,56686,-1,-1,508057,-1,467881,-1,797086,337678,246981,450053,-1,-1,-1,25030,-1,-1,-1,741499,609066,34979,665626,-1,-1,743260,972688,83059,-1,-1,67978,713897,723579,-1,663206,-1,-1,565219,-1,-1,169925,-1,463972,508557,920115,371994,-1,-1,-1,-1,-1,594028,801361,-1,-1,149179,-1,226878,383834,951871,945800,38908,-1,468211,164906,872097,511007,904419,-1,496475,-1,238203,334192,-1,-1,298374,-1,-1,639042,-1,730918,-1,209304,-1,-1,486953,696222,-1,978493,-1,-1,883057,592038,-1,-1,382044,-1,103322,843104,246083,-1,696588,366923,-1,789005,-1,963564,163818,-1,-1,-1,-1,874880,712525,-1,-1,526255,-1,723022,835782,-1,-1,853108,521899,-1,368520,-1,-1,925397,669046,-1,582886,-1,16025,313061,-1,209913,-1,-1,519029,-1,865020,547958,-1,51444,171478,-1,-1,-1,753487,-1,-1,29554,30017,-1,-1,547728,-1,631244,947494,-1,845892,-1,-1,746171,766127,-1,-1,-1,229027,-1,636604,-1,-1,749447,-1,-1,286718,623352,779320,557390,462290,151789,716001,499269,914877,823314,388172,582524,555767,609416,-1,-1,-1,-1,531499,326093,523324,-1,-1,357313,-1,963609,94115,-1,-1,121072,-1,-1,505897,-1,-1,-1,-1,-1,-1,904700,-1,421305,-1,-1,-1,-1,502447,-1,522105,315022,542236,265694,-1,-1,-1,-1,47070,934053,-1,-1,-1,-1,806914,568969,-1,-1,883231,-1,246519,350512,-1,-1,-1,313856,668402,-1,-1,-1,-1,360021,-1,725260,782031,-1,405072,90761,-1,-1,942822,-1,333766,125460,-1,418182,-1,-1,630700,-1,-1,218497,584200,895131,-1,165453,-1,259205,302832,-1,885689,527553,-1,-1,-1,150743,269174,-1,-1,183220,725610,925911,631816,50049,750363,-1,-1,-1,49270,65463,-1,71611,-1,267455,786980,310298,-1,66406,-1,306543,-1,-1,316562,401520,-1,-1,769549,-1,418697,-1,84503,172272,-1,381332,157473,920791,-1,941416,-1,-1,837777,456523,-1,719516,-1,542027,73374,-1,-1,581094,33637,995582,231679,-1,985703,-1,-1,-1,74679,-1,682122,809085,-1,-1,585479,-1,-1,527454,-1,-1,497617,-1,614067,-1,-1,-1,-1,973850,-1,-1,-1,-1,373217,280868,47093,-1,-1,-1,-1,-1,513154,889967,-1,693960,-1,838391,-1,-1,264257,643879,969238,584700,-1,854777,-1,115465,-1,302237,305564,-1,233441,-1,750576,604427,870785,-1,-1,-1,578050,-1,-1,169001,192303,-1,362781,-1,-1,423870,169048,-1,-1,-1,395673,475273,-1,814380,319983,-1,31170,744467,399309,864712,-1,-1,14918,-1,-1,230581,345215,232137,367576,519437,-1,-1,248792,-1,-1,38466,-1,523327,-1,256656,-1,538285,-1,-1,-1,47495,499374,-1,-1,-1,-1,-1,960427,-1,-1,-1,232447,-1,-1,736644,86670,-1,-1,-1,916163,-1,-1,-1,343950,-1,573799,-1,-1,16420,16850,265189,238704,568749,772264,220713,-1,523087,-1,353341,591808,-1,74326,77793,886119,-1,-1,170690,-1,-1,-1,-1,-1,537789,-1,496593,-1,758475,496925,-1,617966,-1,885348,508123,-1,-1,-1,-1,686683,625059,397619,-1,779448,734688,18011,601764,502833,356799,-1,58270,973008,139091,-1,-1,724030,-1,32580,592533,16611,-1,663761,-1,516556,-1,156842,323237,1338,-1,81084,70370,-1,-1,-1,-1,17552,-1,-1,-1,-1,-1,90309,-1,-1,385561,867418,859731,953880,571254,-1,172557,429972,-1,-1,752487,767846,591581,-1,417798,448483,914750,205190,-1,-1,863460,71944,993069,-1,-1,446121,84445,-1,-1,-1,206288,-1,754880,-1,495002,-1,888245,54116,353089,-1,-1,-1,-1,-1,50749,-1,216937,-1,958275,-1,520706,-1,908694,-1,642670,-1,558596,-1,-1,-1,-1,-1,-1,200766,-1,237534,121106,-1,641145,-1,381833,820257,725122,719249,534900,795102,-1,411808,985982,-1,174158,929768,340361,627382,176641,-1,173196,846505,210735,339638,-1,-1,171668,-1,-1,525436,-1,508861,344112,-1,366682,850847,-1,276337,927149,-1,-1,-1,-1,-1,508023,-1,128748,-1,657732,-1,488695,152102,13673,-1,-1,74691,-1,-1,-1,990177,-1,-1,858554,-1,-1,734076,-1,183976,-1,901520,-1,216154,849066,-1,636239,379743,407155,-1,234960,-1,-1,391961,990865,542239,418440,-1,-1,268506,-1,298526,-1,830551,-1,250567,312671,-1,795750,-1,156534,-1,-1,406089,681516,706448,943206,-1,-1,-1,-1,148020,-1,-1,-1,293346,342648,57167,581165,-1,-1,587174,-1,726976,547587,315845,600089,209012,-1,216768,935534,-1,360496,-1,358123,-1,-1,365195,674370,624043,477422,275604,-1,550641,337323,381692,-1,-1,-1,997197,-1,-1,-1,-1,-1,838917,-1,-1,-1,289210,-1,32056,-1,724169,851613,-1,43362,822454,388417,991073,778083,632349,998595,946888,-1,-1,-1,284190,673929,246580,-1,901768,710442,151398,688523,195479,-1,42197,-1,-1,650658,-1,-1,798479,631925,618740,-1,-1,711556,800066,-1,-1,-1,947770,-1,-1,-1,770695,387875,852005,-1,-1,-1,479930,531064,625545,-1,797687,381267,104261,716982,-1,374871,-1,307645,103147,621657,-1,461599,-1,-1,740226,-1,793802,317390,-1,-1,688243,613494,-1,-1,-1,955417,-1,-1,-1,-1,-1,-1,979746,598811,-1,37222,-1,-1,258030,-1,-1,-1,325189,882220,691245,-1,406172,591529,-1,-1,769571,119238,-1,-1,-1,-1,747335,-1,-1,-1,266560,-1,382876,-1,753157,195125,486611,938426,174980,-1,-1,446981,-1,-1,79695,634419,-1,737144,-1,168360,-1,817113,-1,241577,694300,702194,-1,-1,-1,-1,-1,906100,959710,78997,-1,-1,-1,259961,-1,-1,775778,635150,-1,19723,182330,762865,936583,-1,-1,689442,-1,-1,131482,115739,-1,-1,-1,-1,-1,948259,509883,60923,-1,119636,631338,644455,-1,-1,358261,218007,483206,743540,872121,164423,-1,-1,235464,-1,74611,-1,19852,345727,-1,-1,-1,-1,816528,295020,395083,-1,-1,-1,892020,-1,850034,-1,-1,-1,-1,-1,-1,-1,34950,763746,-1,-1,-1,788957,315338,-1,-1,325155,-1,237172,-1,-1,274274,-1,-1,-1,177969,537604,-1,-1,151809,238962,-1,-1,751506,567689,445398,246151,-1,-1,-1,46276,-1,-1,381908,-1,305359,104485,286680,-1,184582,-1,399536,321297,238199,-1,540653,130850,-1,-1,491463,337542,92263,37097,-1,-1,-1,882373,-1,216079,307307,165553,336927,432314,-1,-1,-1,512611,434836,-1,829616,-1,-1,286730,247403,-1,-1,-1,601882,-1,509967,880028,-1,431540,-1,-1,-1,137568,424012,500122,930720,-1,-1,-1,-1,286517,988881,-1,-1,-1,540906,-1,-1,785216,417385,503657,689423,-1,-1,659521,-1,711855,15594,191072,-1,85693,-1,816921,611124,59899,-1,739161,394724,799277,802176,-1,179896,-1,-1,586122,897857,825900,643687,-1,96778,-1,-1,908277,-1,-1,-1,-1,966280,-1,286083,-1,-1,955981,708958,-1,-1,-1,16529,452411,-1,-1,747303,885785,730453,261924,-1,-1,221293,699578,843649,772024,571913,-1,-1,669056,-1,430394,258587,-1,599470,-1,16458,-1,634793,-1,-1,-1,210150,315357,205812,-1,238712,-1,697732,566594,31186,-1,348970,-1,-1,772135,-1,230757,219643,-1,-1,16056,556992,-1,-1,979848,-1,-1,-1,-1,-1,54504,-1,982940,-1,182036,-1,356935,-1,-1,-1,987848,-1,170408,-1,580097,-1,213143,-1,793205,-1,-1,512076,-1,-1,-1,-1,-1,-1,394718,-1,-1,602541,78471,-1,276278,142034,632531,923995,-1,839570,420071,47352,187644,999067,-1,-1,538546,-1,331436,-1,640077,910803,153736,-1,52050,-1,-1,-1,-1,-1,798036,-1,841856,-1,-1,-1,-1,-1,6356,-1,579599,-1,264526,-1,-1,650920,-1,674641,500527,-1,495534,267895,396627,75043,986489,593009,560427,94920,-1,-1,-1,-1,346420,-1,-1,93348,-1,951341,-1,114736,-1,-1,-1,351474,-1,620766,268914,-1,-1,-1,436284,-1,-1,-1,908017,-1,2070,-1,658205,-1,-1,-1,444675,717845,-1,-1,764031,247014,511186,446645,-1,-1,519262,-1,-1,266833,-1,683983,-1,-1,-1,572413,-1,-1,-1,990385,295391,-1,680436,365588,929393,-1,570566,-1,722573,-1,-1,-1,507864,-1,712496,635175,315736,-1,-1,-1,-1,-1,-1,-1,-1,527013,-1,-1,72461,919802,298768,-1,-1,489748,458682,-1,970991,676610,-1,885215,-1,-1,-1,645535,-1,144515,-1,-1,114893,-1,827122,884690,102696,649035,548605,675594,275599,233548,-1,-1,-1,-1,796894,-1,-1,-1,-1,818564,-1,-1,-1,-1,798276,-1,47942,-1,-1,332417,-1,806205,884694,707633,253522,408783,-1,-1,325191,-1,355920,-1,-1,658864,-1,-1,243901,-1,153805,-1,-1,-1,414015,537117,46288,547620,653521,-1,460858,731671,-1,-1,301590,677929,767594,38870,-1,-1,-1,861548,-1,-1,654145,209233,34492,-1,186976,637764,240244,-1,-1,913221,398320,-1,250075,109597,-1,519803,511425,-1,-1,-1,-1,894211,676006,-1,-1,-1,-1,-1,912560,221734,810875,705371,-1,921152,764457,754414,-1,31357,-1,204856,-1,209166,-1,844294,-1,649438,853021,-1,-1,-1,313088,766867,723035,926439,-1,-1,-1,-1,-1,-1,972756,128295,527160,-1,100806,-1,558832,-1,-1,-1,-1,649837,698959,11358,582821,706724,-1,667345,-1,-1,-1,663331,-1,60816,620127,-1,3925,243956,-1,950242,553054,256652,-1,689216,98690,-1,-1,706072,877728,-1,-1,174735,800860,356569,113649,-1,-1,-1,884847,448,-1,519472,568697,-1,841135,137194,231100,-1,897432,-1,-1,735734,602746,-1,914790,626456,-1,-1,358578,-1,-1,513813,621392,676374,453783,-1,-1,423919,-1,150792,-1,699381,-1,388289,-1,-1,901591,-1,232909,-1,-1,-1,414714,-1,5685,303586,-1,453725,-1,-1,-1,-1,972574,-1,-1,679627,869426,36951,-1,460825,929694,787469,-1,-1,-1,-1,-1,-1,-1,1194,-1,-1,585151,749883,-1,487258,399606,976710,-1,798407,69420,534945,373871,-1,-1,-1,168019,-1,811832,948092,-1,-1,533031,-1,-1,995442,-1,885184,3523,451511,-1,320407,-1,-1,774705,-1,-1,-1,131677,762238,-1,-1,966155,248139,-1,882621,32547,-1,-1,-1,-1,742244,-1,743858,-1,436211,-1,-1,-1,-1,-1,479659,-1,89864,853738,-1,829624,802674,467565,382450,-1,974841,-1,-1,-1,415745,-1,-1,992921,-1,-1,358079,-1,-1,929530,-1,-1,326708,257505,-1,9095,196828,-1,942294,-1,-1,927106,247759,-1,374214,-1,-1,58631,3546,-1,-1,529115,703515,37225,778786,86090,-1,559172,347293,800269,381524,-1,-1,-1,-1,-1,967344,928512,495362,-1,-1,611220,-1,767402,-1,-1,-1,131449,-1,-1,-1,879686,-1,-1,-1,886596,-1,-1,443398,314350,-1,-1,606717,-1,-1,-1,324787,-1,337758,-1,-1,372735,732118,873921,-1,-1,-1,-1,887299,327756,-1,565613,18006,336059,405299,923875,-1,-1,318034,934465,160885,731914,747392,-1,720372,-1,739010,873287,606261,-1,-1,692342,698795,-1,-1,-1,-1,248315,137167,-1,-1,58218,937333,745271,-1,353466,-1,559462,-1,-1,818621,402690,278069,994247,808665,-1,-1,-1,-1,-1,-1,-1,207475,921173,407144,-1,397005,249010,-1,-1,-1,-1,-1,836123,-1,-1,-1,-1,-1,-1,-1,13058,120572,-1,171259,-1,-1,58817,534162,-1,864959,646261,543489,-1,-1,273274,817956,-1,924898,-1,-1,127592,850514,471176,919004,-1,994493,-1,651643,297212,-1,665330,-1,-1,-1,-1,-1,460677,116217,985706,867154,-1,893835,871092,399115,-1,431437,568598,213025,-1,-1,926530,-1,325997,-1,-1,990367,911825,-1,749979,-1,-1,-1,183821,388576,122118,814747,823050,227562,613758,-1,133345,507206,-1,-1,-1,100582,177808,279958,415517,471206,708474,-1,-1,835689,408539,725754,-1,4484,-1,-1,908065,-1,258477,395029,-1,701913,-1,-1,-1,839508,-1,93331,-1,516711,677646,-1,-1,927015,567084,915328,-1,723605,869892,556412,-1,-1,-1,104387,-1,989853,836440,545103,-1,-1,645446,494531,26759,356724,828605,-1,-1,-1,617952,308077,408066,972807,597931,77091,609233,-1,-1,318530,-1,-1,-1,-1,975646,-1,916082,-1,751631,386445,849650,622164,-1,-1,41422,-1,-1,-1,880921,678261,167550,-1,194184,-1,639485,-1,-1,-1,260051,95127,-1,460672,-1,-1,-1,-1,247882,31912,-1,540072,-1,-1,706981,901092,-1,-1,-1,333042,622895,632282,162590,630488,-1,-1,-1,966860,-1,443599,-1,-1,317782,-1,721009,850246,-1,202297,201871,290192,-1,-1,-1,-1,-1,488794,-1,-1,644311,375003,493538,673375,64646,-1,-1,-1,272240,444394,-1,-1,373375,-1,671997,81535,101763,-1,-1,-1,995231,908280,187225,-1,-1,777671,-1,-1,119837,-1,-1,284085,-1,-1,504549,-1,-1,764548,52065,-1,65870,-1,-1,-1,369514,-1,601400,901231,606368,-1,-1,12793,-1,863513,-1,700317,-1,-1,-1,455173,97101,-1,-1,63886,431565,-1,-1,-1,-1,-1,-1,-1,960189,-1,72344,703722,26495,-1,830012,-1,-1,-1,903458,965530,-1,720178,775557,124478,-1,727835,172605,957485,-1,-1,247658,966863,-1,735683,23995,644238,818037,542942,496698,644053,-1,819730,420798,-1,-1,-1,-1,979433,-1,-1,262359,-1,62973,150239,-1,155763,146936,-1,404136,380161,352175,-1,46527,566703,234263,-1,799769,-1,888928,-1,863035,-1,35476,899781,-1,-1,-1,-1,-1,-1,-1,-1,771272,-1,796290,231471,825859,-1,19671,-1,-1,243220,717580,733288,140374,-1,-1,742666,59087,-1,-1,129768,-1,-1,123943,-1,497429,-1,274885,303447,516102,-1,-1,-1,-1,466396,-1,-1,803332,102887,643254,-1,948742,-1,-1,-1,51962,602998,-1,885547,-1,281162,641694,894311,827406,429305,342649,984144,295613,132266,-1,-1,-1,965058,625610,-1,-1,-1,268417,858651,668485,893537,557474,-1,771641,-1,819557,-1,-1,433807,91468,304848,351675,177118,711202,-1,527030,757294,-1,6121,387375,-1,-1,-1,-1,192597,-1,378750,-1,809810,-1,-1,-1,-1,-1,375,673492,-1,974623,719673,607345,-1,739690,253228,-1,-1,119134,-1,752200,141273,-1,523567,-1,829901,-1,-1,724498,252198,515318,402456,479225,290363,-1,356178,162971,-1,-1,-1,511172,-1,6832,871897,289751,226612,-1,-1,-1,957883,-1,-1,-1,703189,954480,14118,552744,-1,717338,968988,933858,186404,66194,-1,634027,8651,36659,-1,-1,403997,-1,533458,279556,409957,-1,-1,-1,959191,-1,767993,631810,-1,796168,502575,639050,-1,-1,-1,797885,-1,-1,846074,707199,-1,-1,203293,112742,633177,65753,-1,-1,905244,976871,526463,426467,-1,338230,-1,-1,999062,480229,651635,850380,204200,-1,343625,-1,291577,-1,-1,-1,762726,492248,352224,-1,-1,-1,447684,-1,164804,935963,-1,-1,-1,-1,-1,151518,107181,860055,-1,77817,158722,973106,685242,134523,-1,323882,-1,428192,-1,-1,-1,480275,26017,-1,-1,-1,-1,-1,-1,943760,702184,541262,390842,-1,804289,-1,969791,-1,966262,-1,962258,-1,-1,857301,-1,347870,-1,-1,-1,432258,635417,599474,790451,96624,-1,-1,609810,-1,-1,380687,-1,-1,-1,-1,696254,-1,251890,-1,-1,211567,-1,170748,-1,-1,968706,-1,713697,998555,643328,993334,-1,-1,392394,-1,487684,630009,515094,-1,-1,-1,-1,-1,18605,434517,-1,824319,778444,-1,-1,815889,-1,-1,573360,505594,963929,-1,-1,875180,232340,767663,-1,668642,-1,-1,-1,528829,614588,571216,-1,-1,125691,193524,-1,154050,-1,-1,-1,64955,471309,-1,923627,-1,795058,-1,846579,325274,417629,890837,-1,-1,-1,-1,-1,-1,-1,-1,-1,65467,-1,-1,461753,-1,175901,-1,-1,-1,887060,681931,-1,-1,-1,-1,-1,-1,808023,-1,746645,3410,-1,-1,47773,-1,-1,216863,400158,291287,188439,-1,48686,98032,-1,245985,625652,-1,460052,839716,463791,962638,-1,-1,804287,-1,-1,-1,94970,-1,-1,-1,44412,-1,963868,102668,20118,-1,728161,144459,-1,17506,-1,-1,-1,-1,-1,821456,442884,817534,-1,620425,-1,472542,-1,-1,203526,251168,501757,15562,-1,867422,818305,736171,-1,-1,-1,151577,454172,-1,-1,-1,931118,198215,968269,-1,412902,-1,155294,-1,495481,-1,919793,-1,609422,563079,-1,-1,193155,-1,528226,-1,-1,-1,192992,896807,-1,820752,789025,494428,741207,-1,724911,105800,553700,627351,-1,-1,376690,430742,893232,-1,672510,-1,176713,787204,-1,397252,474978,354661,78467,-1,-1,-1,787367,-1,-1,-1,-1,-1,-1,831463,493380,-1,-1,-1,-1,-1,-1,211539,-1,488735,-1,351396,-1,663894,537752,-1,-1,75814,-1,-1,-1,302491,-1,465051,-1,-1,751385,-1,-1,83479,280772,-1,-1,-1,990719,224940,-1,-1,806192,489902,-1,493916,-1,-1,689726,-1,-1,138716,-1,-1,572406,76393,606276,356670,-1,344846,-1,514739,-1,-1,-1,935308,425952,-1,-1,-1,406406,-1,-1,-1,454057,781732,-1,652815,941960,-1,-1,657843,215037,-1,-1,842541,-1,-1,812764,936674,100154,-1,298685,-1,734675,-1,-1,-1,787593,-1,-1,546760,-1,-1,-1,-1,859439,530533,-1,190289,356062,121958,-1,-1,-1,856958,303249,631137,-1,-1,251548,-1,184357,-1,326590,549089,-1,-1,-1,81143,-1,-1,-1,-1,449049,768872,453545,-1,-1,-1,378107,361536,-1,-1,991146,655063,-1,-1,-1,-1,807764,880050,-1,477055,520065,854927,397686,101208,670270,-1,655137,-1,-1,-1,-1,265295,992044,230774,966076,517493,-1,300134,384925,443492,238115,-1,952907,-1,293883,-1,80468,-1,693122,-1,498359,944426,990626,309857,-1,-1,-1,-1,529615,-1,-1,408574,559752,-1,-1,-1,-1,-1,-1,997834,-1,-1,377668,-1,270865,682829,-1,889407,55017,-1,655031,924610,707871,652756,-1,-1,-1,76015,-1,-1,868723,-1,-1,997134,-1,-1,142199,-1,21736,-1,-1,-1,-1,52152,875032,-1,-1,577989,-1,806667,-1,-1,498682,-1,-1,766165,613441,-1,870168,-1,153146,-1,933290,220948,472788,-1,215003,497685,526562,83203,690555,-1,-1,915375,-1,365078,375628,-1,318845,466240,282626,-1,930284,640541,76881,715741,61891,440096,-1,145223,-1,405838,776912,-1,-1,-1,-1,753467,483481,-1,156460,-1,-1,838422,616870,-1,-1,-1,335103,-1,-1,-1,474220,-1,-1,-1,-1,591850,269255,772056,-1,833782,575194,-1,930857,-1,279262,-1,-1,662613,-1,999204,-1,-1,-1,-1,485435,76962,-1,196029,-1,288486,300566,679261,-1,970154,-1,-1,982555,-1,905439,-1,-1,375461,436948,586024,-1,-1,-1,-1,-1,21273,178584,393530,-1,48181,865446,-1,489695,616022,939785,282585,79667,-1,-1,475930,-1,20262,847967,-1,-1,130417,697224,423009,-1,-1,-1,-1,-1,-1,940871,-1,650074,325219,-1,-1,764776,261637,530605,707171,727801,404048,592373,785017,-1,-1,-1,-1,611199,-1,736272,965274,137245,-1,185394,-1,236768,818949,328327,-1,-1,-1,-1,-1,617452,-1,-1,150008,826579,-1,277439,-1,-1,-1,-1,499187,-1,885973,-1,841401,-1,-1,280207,584305,-1,214332,275703,-1,398756,-1,851166,617733,-1,946102,672574,-1,-1,745537,-1,206512,839624,-1,-1,494260,-1,-1,-1,505416,-1,325076,599956,-1,301760,-1,500581,127632,-1,-1,-1,-1,-1,234244,-1,-1,758518,-1,-1,784492,997028,949707,110476,-1,403707,-1,482916,730288,600718,808604,-1,309825,-1,-1,647135,-1,-1,375323,335113,312531,-1,-1,633990,618178,-1,963942,-1,763706,-1,619173,-1,463086,689694,-1,463208,-1,503865,-1,317583,-1,-1,317755,-1,888288,855320,-1,-1,145084,-1,-1,478938,795303,811522,-1,-1,792151,-1,-1,-1,696375,997433,557266,-1,-1,112072,-1,535753,-1,-1,-1,-1,-1,197534,-1,-1,936231,-1,426024,675723,-1,68886,552134,900466,85123,969397,-1,-1,-1,-1,38449,-1,-1,-1,806280,55193,187077,-1,-1,-1,806165,230849,596674,-1,-1,-1,-1,681462,612282,742731,848790,-1,967171,-1,78340,68282,665539,904287,-1,-1,772230,240791,-1,-1,-1,-1,-1,-1,628784,951829,475552,-1,-1,-1,-1,438011,787921,-1,381158,484813,-1,825176,-1,60623,481280,772122,973884,-1,481392,389911,809189,-1,92176,-1,30776,306616,233030,-1,260822,246065,526942,914542,-1,-1,822799,104285,-1,619087,922855,-1,107426,-1,-1,845930,-1,839975,-1,-1,255469,206964,218538,222786,79008,-1,-1,902765,-1,-1,-1,-1,388153,716321,669513,-1,-1,923145,-1,-1,325470,318299,-1,-1,532767,291744,-1,795326,-1,198273,422237,-1,257021,763492,-1,312640,353618,-1,135911,838318,810336,699456,667466,861162,-1,-1,689112,-1,-1,495202,-1,744406,563230,-1,-1,369449,-1,-1,-1,675733,67242,294720,-1,512525,-1,-1,-1,758128,192636,-1,825422,-1,-1,-1,224535,-1,-1,-1,-1,-1,341971,-1,174520,-1,235973,-1,632200,592389,620322,215520,-1,-1,-1,-1,982952,650554,-1,79770,831279,131651,438052,564525,-1,-1,-1,978212,174070,575724,162115,-1,258672,844564,-1,-1,-1,-1,-1,-1,-1,-1,648979,645732,-1,654746,988147,-1,833852,222758,-1,672790,-1,-1,-1,962694,-1,630220,-1,816641,781761,-1,-1,-1,-1,348492,-1,-1,621390,-1,-1,375925,699103,97455,-1,739328,-1,-1,700342,915777,-1,631881,-1,738884,942797,-1,-1,975300,74868,155165,-1,-1,971782,945516,25007,-1,162411,817044,-1,-1,-1,-1,-1,775625,-1,-1,433068,-1,-1,816215,508758,161019,910283,-1,-1,-1,788116,562551,526055,-1,649203,519089,-1,443185,267188,433246,-1,916443,978417,699906,-1,-1,-1,843524,54950,-1,-1,-1,-1,-1,-1,539181,674729,604313,-1,-1,-1,934929,-1,769766,-1,647655,990442,-1,-1,-1,-1,-1,168712,274870,-1,3422,218527,424436,-1,219655,701827,801446,-1,874529,-1,-1,-1,397601,712600,200985,-1,-1,977980,444961,507062,-1,491276,274728,907608,988478,780875,651341,250924,-1,124634,282225,180408,125269,-1,170638,-1,632935,-1,503627,-1,820343,-1,-1,-1,259765,-1,264893,810123,-1,-1,961525,-1,585005,-1,720068,-1,-1,-1,145474,674801,-1,-1,-1,212518,-1,689235,-1,396557,405464,-1,825653,-1,988877,-1,-1,282825,-1,828086,-1,-1,718443,448598,-1,154032,106750,620552,-1,242600,-1,-1,-1,223067,519846,956004,858145,750474,-1,333293,-1,699011,-1,266994,-1,403523,-1,767070,206961,-1,-1,-1,-1,-1,-1,-1,-1,-1,852059,-1,963932,732383,730449,-1,-1,-1,935869,-1,-1,83228,595179,-1,282696,-1,-1,841521,671478,874061,452805,883165,-1,324968,-1,-1,-1,-1,-1,-1,397796,-1,693474,721668,-1,-1,-1,424524,450203,-1,558654,794259,410211,-1,930313,-1,807773,-1,152690,865995,-1,-1,994781,294107,-1,141558,160567,-1,889283,478256,667181,-1,803437,-1,-1,484019,-1,561675,164311,-1,-1,142292,-1,689812,-1,-1,113253,198941,-1,418638,-1,326388,-1,-1,689189,-1,-1,-1,-1,-1,396432,949479,585506,361140,-1,-1,698988,441122,-1,701186,-1,833086,-1,-1,-1,297884,780217,-1,585914,-1,473255,-1,-1,-1,419615,-1,-1,-1,316023,49922,934741,789784,712376,-1,202993,599187,407339,381839,-1,-1,-1,-1,779160,788538,607165,643367,477401,559140,-1,-1,-1,473242,-1,262882,432101,-1,457180,679981,-1,885148,609670,696326,-1,212937,-1,-1,327305,-1,306007,844115,-1,-1,-1,143294,306514,-1,-1,176494,-1,-1,298125,619721,761764,-1,-1,47476,490782,272297,-1,-1,-1,-1,971080,570758,646523,-1,-1,587201,900302,600614,751860,-1,-1,-1,527706,-1,653065,-1,626826,750006,-1,101463,-1,984392,-1,-1,-1,692457,-1,-1,-1,-1,-1,-1,-1,786992,815483,176398,98858,670475,-1,514648,851088,-1,-1,-1,-1,-1,451822,-1,225019,317256,-1,-1,34653,-1,470975,-1,-1,919440,189936,243007,704404,-1,-1,-1,-1,40533,-1,-1,16955,-1,593167,899167,385445,-1,34992,546930,-1,90503,-1,-1,-1,-1,-1,321444,629324,326104,-1,-1,-1,-1,368895,-1,-1,897732,379072,746754,-1,622634,-1,-1,-1,-1,947135,85583,213712,648673,285819,28508,698434,-1,-1,-1,-1,161881,495863,606564,-1,-1,-1,52216,659990,-1,-1,-1,-1,946635,-1,-1,347243,397667,-1,213989,-1,-1,66156,107080,926657,308699,25983,-1,-1,-1,-1,456570,529208,-1,-1,-1,644038,-1,588018,-1,306843,384633,-1,775914,-1,151093,839791,104625,-1,-1,873630,-1,-1,519074,-1,613519,-1,-1,773978,-1,550131,-1,606754,701056,-1,-1,984705,197760,498426,430801,497473,-1,-1,304014,130771,493905,-1,986842,-1,801613,734184,360495,-1,-1,261320,-1,354154,906834,824138,546679,254127,260493,823870,-1,688058,-1,-1,-1,-1,-1,43426,-1,-1,-1,5780,-1,-1,-1,-1,-1,559597,-1,819035,-1,924754,-1,351723,890535,-1,-1,-1,939631,-1,-1,-1,-1,255398,-1,-1,533319,307702,721907,905597,21792,825100,-1,-1,550477,414107,-1,610508,892993,367153,-1,-1,-1,-1,-1,750911,645160,779251,98714,-1,-1,-1,-1,-1,-1,957,-1,-1,809680,-1,7888,-1,421460,737056,-1,-1,119045,604196,741567,-1,-1,-1,238250,142377,-1,440244,303555,837521,269854,872223,-1,-1,-1,261916,-1,-1,-1,685789,589883,120383,126629,259626,-1,711523,-1,-1,187419,-1,-1,-1,-1,-1,-1,294175,426111,-1,-1,-1,-1,447540,11756,-1,-1,-1,-1,993735,-1,599535,-1,-1,-1,230462,7886,444503,959092,609205,-1,39977,-1,533190,625931,879836,300654,-1,775652,74580,-1,-1,-1,-1,453526,320278,100532,943601,-1,-1,-1,-1,857498,906672,-1,-1,606602,45623,-1,-1,-1,-1,-1,-1,189683,-1,866353,996771,-1,-1,-1,-1,770324,-1,41817,586308,-1,417426,-1,203509,583256,951437,-1,927468,-1,-1,131925,935141,453752,998655,600368,-1,-1,-1,79492,119472,-1,-1,-1,316624,311061,752059,166994,487679,-1,-1,-1,-1,-1,-1,962636,-1,-1,748006,617463,-1,-1,924265,519313,-1,777546,432924,604129,-1,992616,575905,692546,58781,285925,998798,-1,848526,-1,257689,287099,371156,-1,47595,475885,-1,-1,-1,947673,-1,891831,722374,-1,789224,-1,756594,631015,-1,-1,426422,-1,493471,-1,-1,982216,954159,860906,-1,-1,744501,476358,570679,-1,-1,-1,-1,-1,837332,522659,688771,-1,691177,6421,217833,-1,926724,235440,502557,-1,-1,63844,586921,167882,703784,-1,394952,269409,-1,669937,-1,927934,-1,-1,-1,655842,462557,-1,-1,-1,-1,184594,-1,-1,422469,-1,-1,-1,-1,799197,-1,-1,821287,893216,-1,-1,342050,19006,-1,88955,626917,970704,230725,290338,-1,-1,882761,-1,-1,996915,-1,-1,144624,-1,57645,502726,45282,-1,58027,-1,684584,950655,-1,-1,-1,141522,432034,217517,684632,-1,-1,-1,470288,941301,-1,927821,-1,-1,-1,934237,192633,-1,-1,-1,286991,287242,-1,70068,-1,378214,984892,-1,337256,734566,-1,649396,-1,55566,335921,-1,-1,508460,87352,-1,675624,-1,-1,466861,25419,-1,195903,-1,-1,892034,-1,-1,26302,-1,649214,-1,634831,-1,209026,821270,-1,88429,781321,-1,-1,316903,538607,-1,106974,941499,723400,-1,-1,389523,444492,416831,223540,296882,505563,266087,591501,453027,-1,76816,948591,-1,-1,-1,-1,987353,985682,877484,393411,-1,-1,-1,206025,363954,-1,-1,946387,-1,-1,269602,-1,-1,-1,263090,-1,-1,-1,-1,43144,973918,654083,-1,-1,480097,891226,942113,-1,-1,-1,314608,-1,880930,-1,483232,-1,-1,719017,-1,405441,-1,44493,658823,637704,-1,941820,-1,-1,314427,133074,-1,470525,-1,-1,890572,-1,-1,700237,687188,604090,-1,813739,-1,-1,400975,746261,-1,226082,74625,764476,-1,25547,679379,-1,779453,660935,386470,-1,930764,-1,554042,-1,473797,-1,-1,310666,-1,932319,-1,-1,-1,51071,-1,-1,-1,-1,833749,-1,-1,-1,805107,-1,759166,503845,-1,648150,965227,-1,-1,377965,-1,-1,-1,833913,116147,-1,48381,81334,78311,-1,-1,661280,-1,218812,567011,-1,911772,-1,763420,-1,852705,581812,692205,359318,405511,-1,-1,653865,-1,-1,-1,342483,743021,-1,-1,218579,-1,382095,305909,-1,-1,650115,-1,352550,-1,354158,-1,-1,589397,-1,259266,443482,893292,-1,376217,604471,378629,-1,-1,742031,-1,221046,795149,564737,-1,-1,778350,913142,773217,461444,-1,-1,-1,-1,31538,-1,-1,13253,-1,459297,732882,902835,629037,-1,-1,-1,-1,531970,-1,170717,320896,751924,307311,-1,-1,-1,-1,139393,-1,-1,-1,-1,357078,572363,241276,-1,297060,32521,-1,599608,-1,-1,-1,246046,607689,-1,-1,-1,-1,-1,72196,-1,399418,227198,941153,329834,-1,-1,949231,952389,368507,-1,117880,967947,-1,-1,193673,-1,169968,919192,-1,419656,262424,993018,356215,957082,125617,308305,-1,466826,142343,-1,-1,-1,-1,-1,571202,458128,34247,-1,-1,156177,519896,385440,128850,-1,-1,763944,-1,839677,263097,289017,-1,199172,200340,-1,-1,998626,-1,62253,-1,-1,810003,755535,819012,-1,-1,-1,668781,-1,-1,843511,457586,-1,-1,-1,835896,605258,605600,199841,565397,171399,-1,873726,821180,-1,776850,695053,956137,595875,-1,-1,-1,-1,-1,-1,707420,646941,-1,478682,-1,-1,-1,-1,-1,158470,-1,-1,-1,383459,906084,961457,786447,108883,-1,-1,-1,333775,925815,434059,-1,-1,67343,704072,-1,162819,584434,553396,-1,-1,-1,-1,90389,982464,174336,326984,901243,144253,-1,-1,170602,-1,-1,-1,-1,619751,-1,-1,-1,14799,21660,826087,126886,985121,-1,868651,145463,986071,-1,-1,218016,185113,322256,179782,-1,-1,-1,531931,-1,-1,157649,-1,529322,799221,648791,-1,-1,398477,151451,246450,698994,346839,-1,398530,-1,596633,-1,-1,26358,892164,-1,671606,-1,-1,-1,-1,-1,262926,-1,633605,817396,520416,-1,-1,993025,-1,-1,-1,-1,42720,371266,665817,-1,-1,-1,-1,-1,714304,-1,619541,283037,-1,819788,857415,-1,-1,654793,34844,424600,-1,393315,28645,-1,493828,176887,-1,238113,364349,436268,383400,810430,213008,346706,-1,-1,110834,472348,-1,-1,-1,100245,-1,-1,-1,-1,-1,-1,748164,-1,236582,-1,737277,881455,455845,-1,-1,-1,862408,321804,-1,-1,-1,446731,581475,-1,-1,-1,507990,44103,922067,-1,409880,360873,-1,304620,800022,50048,-1,-1,530473,-1,-1,-1,-1,-1,-1,-1,-1,-1,256224,-1,865915,263986,-1,-1,-1,725892,-1,-1,285167,-1,-1,-1,575445,206155,-1,-1,-1,130293,84762,-1,-1,179210,-1,-1,884280,694536,366210,472423,715524,-1,-1,-1,893293,156593,896008,44956,981715,549799,-1,-1,-1,174501,782926,758348,708209,-1,888844,211574,244417,610102,149430,788211,898691,153539,611218,451759,-1,-1,289968,-1,515429,-1,610155,-1,-1,-1,-1,686633,-1,-1,-1,688262,962203,-1,145101,-1,-1,88899,-1,-1,-1,787209,323005,-1,-1,675826,-1,-1,989350,866636,442802,416017,-1,779465,-1,915330,-1,963715,368743,71358,-1,396188,-1,-1,-1,-1,-1,59263,406114,418000,765572,-1,357461,-1,-1,877219,930453,-1,-1,-1,-1,-1,21673,657413,956145,733814,159383,-1,651799,-1,183452,-1,776937,-1,777552,83551,-1,-1,251484,-1,209161,211774,812681,78605,461633,856737,928942,-1,-1,-1,-1,318683,400329,526784,760223,180792,431501,786607,-1,962778,-1,-1,-1,137867,-1,907431,-1,634122,907685,367506,545496,-1,-1,-1,80427,-1,-1,-1,520687,-1,-1,-1,-1,939948,638059,831633,-1,-1,-1,-1,136678,-1,405933,-1,744280,772441,753811,-1,-1,-1,214017,22718,632014,-1,827250,-1,-1,81497,-1,-1,832844,858206,-1,725044,50093,-1,-1,-1,56208,-1,36201,85459,92004,555319,362699,15984,663470,402403,121539,380877,498239,801939,-1,-1,-1,-1,-1,364622,-1,785189,954636,263574,859188,255768,821784,669277,676190,-1,-1,-1,-1,-1,-1,-1,10044,852331,-1,-1,-1,-1,497289,461530,-1,445519,299823,457726,147541,919066,-1,-1,754417,781220,208472,-1,-1,-1,233308,-1,915991,991130,725303,762138,127626,-1,-1,28371,895628,373388,-1,-1,981868,522539,-1,660075,786943,-1,681888,-1,419365,398028,797744,373942,866740,645041,-1,855959,26305,10272,-1,18699,-1,567514,495552,-1,-1,-1,-1,-1,-1,-1,776612,-1,981175,-1,-1,770421,431765,-1,-1,-1,-1,-1,774519,46299,975985,-1,706608,868452,-1,-1,473421,-1,864119,-1,-1,-1,-1,-1,14920,199822,-1,565573,-1,-1,-1,470844,-1,353461,-1,-1,-1,-1,-1,-1,-1,546334,-1,-1,-1,538195,197293,-1,705740,950825,316995,-1,-1,917944,-1,431196,-1,-1,-1,505701,281011,884639,-1,280663,200013,-1,-1,787297,-1,104695,-1,857500,-1,431104,-1,914505,-1,-1,-1,-1,929515,318839,-1,-1,740954,966647,35399,-1,982594,435895,999937,284005,680478,132376,-1,456357,-1,-1,-1,-1,271310,-1,-1,400880,436277,-1,-1,329008,426990,-1,-1,-1,-1,-1,-1,566131,739104,-1,-1,131001,-1,497866,-1,-1,-1,-1,-1,-1,507852,-1,-1,516782,256608,-1,470262,97221,-1,-1,292157,-1,963830,444656,722355,-1,618436,-1,-1,-1,-1,-1,480479,623158,-1,-1,823844,-1,-1,895739,-1,912892,-1,146403,724018,-1,-1,-1,441655,-1,-1,851640,322160,-1,344873,488693,207406,612028,-1,-1,-1,-1,-1,393214,-1,-1,543291,-1,-1,741919,-1,338251,999972,-1,-1,442188,-1,-1,29864,-1,130946,99888,603073,391583,-1,-1,-1,132486,489248,-1,-1,-1,-1,842437,-1,701162,-1,-1,946551,701956,-1,718655,393614,-1,154178,-1,-1,-1,975340,-1,26126,852030,-1,-1,12960,664254,88439,991542,412594,-1,493236,-1,-1,36576,-1,-1,-1,406595,-1,-1,-1,275250,320851,884598,651465,-1,309308,99641,-1,-1,63637,376055,938031,-1,823173,464749,-1,-1,-1,531951,682787,-1,-1,-1,-1,405059,-1,441364,-1,-1,944038,-1,-1,80286,-1,-1,-1,749345,256295,62287,-1,-1,850354,-1,-1,198567,-1,-1,165821,-1,-1,-1,163888,-1,-1,982856,-1,254632,-1,-1,393267,-1,969505,480435,-1,-1,-1,-1,681123,38578,56717,667537,409887,-1,275501,-1,-1,401503,894047,-1,-1,-1,-1,336421,-1,-1,657440,-1,970767,810868,4587,113989,-1,191286,230387,14145,643121,-1,146125,249560,-1,758617,-1,-1,-1,-1,252633,-1,-1,404330,-1,-1,438582,927133,731917,-1,514319,-1,-1,885113,791695,177116,-1,-1,545086,525522,-1,-1,442899,-1,163135,-1,901685,-1,-1,288231,864142,-1,-1,776494,112879,837936,-1,558448,981897,-1,-1,-1,-1,754226,376937,-1,-1,824181,781763,-1,595025,723359,-1,685059,586630,-1,729831,190421,-1,-1,581874,-1,-1,35888,-1,-1,200579,-1,602067,820834,777852,515886,940706,-1,-1,-1,-1,-1,696080,-1,-1,98355,-1,992348,-1,-1,866241,797892,197480,610590,-1,-1,232245,-1,960734,561609,783616,-1,-1,-1,635941,-1,534112,33397,191188,423113,88210,726280,-1,776919,903916,701818,75366,104268,740498,-1,235608,202960,-1,406673,-1,594837,-1,-1,-1,-1,545397,606859,735069,412488,-1,771045,679758,-1,-1,929172,-1,-1,55926,952190,-1,-1,-1,-1,-1,-1,-1,117841,-1,338991,-1,-1,-1,111490,-1,529241,67309,248519,-1,53042,-1,-1,859094,482909,-1,867068,-1,791782,-1,592659,326294,-1,593362,722104,-1,-1,380645,-1,-1,-1,419740,235580,-1,-1,-1,-1,525390,899314,968995,768665,-1,-1,158007,180596,883958,-1,-1,403750,-1,-1,64686,-1,-1,264332,-1,396184,705099,-1,-1,623270,-1,-1,400510,-1,-1,809406,924481,-1,-1,-1,-1,317414,507149,-1,-1,754822,-1,310155,169947,357492,605736,865367,362461,-1,-1,864213,-1,-1,76087,402113,234813,-1,-1,-1,-1,63099,-1,559926,743871,474043,248682,-1,-1,300057,35305,195685,-1,-1,-1,-1,-1,898844,-1,389286,-1,-1,-1,498405,-1,735705,463558,537062,551901,104482,528550,-1,-1,938758,-1,-1,-1,-1,955870,253382,-1,-1,-1,-1,-1,3732,870430,-1,-1,601085,832631,59356,580294,108605,596489,564757,535421,956216,-1,780076,741375,-1,-1,549827,585839,-1,-1,-1,-1,-1,521852,-1,852272,646838,2916,-1,-1,-1,809414,-1,987477,-1,-1,492213,-1,143915,452112,-1,476901,625858,-1,-1,-1,-1,-1,-1,628515,-1,-1,755962,-1,-1,33972,892803,-1,948195,-1,-1,303502,-1,-1,367594,-1,-1,384240,31440,581623,-1,-1,-1,710540,-1,-1,-1,-1,44343,656655,-1,108492,430540,-1,703399,282787,424738,798749,776745,-1,-1,980762,307569,-1,-1,-1,375304,-1,-1,514669,-1,-1,109473,-1,250565,-1,-1,-1,928897,-1,362844,-1,-1,-1,18746,-1,567519,-1,-1,-1,208441,156731,-1,-1,979998,164140,-1,-1,-1,346784,-1,-1,-1,218408,-1,81107,234604,-1,790414,836691,-1,346717,-1,452473,234892,199900,-1,480988,-1,-1,-1,597952,709072,183946,852966,-1,-1,486187,-1,-1,763042,953581,-1,556729,-1,374511,-1,-1,866389,-1,-1,905792,222101,-1,420026,-1,-1,-1,-1,-1,-1,-1,280337,-1,20336,-1,779149,655870,890899,-1,-1,252896,-1,-1,549544,-1,328274,744322,-1,-1,-1,874090,-1,241301,-1,163799,-1,-1,-1,18267,371606,-1,-1,-1,543848,871396,-1,-1,-1,321137,364286,-1,-1,363064,772205,-1,75180,482029,181211,484826,-1,-1,-1,-1,-1,737646,401542,-1,-1,487859,-1,602586,-1,-1,521278,7089,-1,-1,-1,-1,-1,-1,619037,-1,847280,-1,3919,-1,903628,-1,-1,-1,-1,-1,48138,396586,29775,555257,52304,-1,224671,-1,-1,-1,312336,896401,144145,762146,-1,547784,467054,28275,780933,453838,974179,516929,-1,-1,851071,525937,-1,164905,297393,448419,-1,988790,137628,36871,-1,642540,706534,552635,563724,33557,80105,-1,163771,546874,-1,699079,52327,951046,593860,16358,852983,667535,666885,-1,-1,-1,-1,-1,149452,-1,402308,315591,119294,853191,49864,579869,-1,-1,-1,296577,-1,574628,-1,854994,-1,664987,984257,-1,-1,535032,-1,576086,-1,-1,-1,1389,-1,690359,468881,-1,-1,-1,563313,-1,-1,311685,-1,481329,-1,-1,-1,-1,685524,159139,-1,-1,-1,271514,-1,-1,-1,-1,-1,-1,183588,349453,597435,856349,-1,275546,-1,52880,642099,215919,-1,-1,-1,-1,-1,-1,-1,617927,950815,-1,962932,-1,-1,580878,170443,-1,742439,-1,185856,130092,-1,-1,-1,293717,623200,735122,383938,584106,183729,-1,104035,85198,994096,270547,229390,-1,690615,-1,741100,-1,-1,466476,-1,627876,511050,-1,514120,-1,632030,-1,440968,847391,620522,19849,478154,-1,-1,-1,-1,955397,515755,-1,-1,714871,-1,-1,-1,-1,-1,-1,944385,-1,-1,114427,-1,-1,-1,220294,-1,866914,-1,-1,-1,-1,-1,158768,259944,-1,722369,828154,-1,314387,-1,-1,-1,-1,658761,-1,813534,-1,-1,105792,510355,98433,-1,73014,99511,-1,832022,-1,-1,-1,-1,-1,-1,581841,-1,400070,-1,307889,479112,16975,252988,367471,-1,-1,305504,372340,-1,-1,-1,-1,-1,356941,769124,966527,-1,248876,-1,240202,797099,-1,922687,-1,-1,278730,799338,-1,-1,-1,-1,697800,238878,390435,-1,-1,766662,-1,-1,-1,-1,-1,227008,-1,-1,113411,150991,215577,-1,94074,878420,874739,224133,-1,-1,-1,-1,-1,-1,779022,-1,497540,-1,-1,676314,-1,380083,201845,982858,928213,-1,-1,569940,-1,-1,139870,669671,622096,-1,784352,839125,614018,-1,-1,32612,-1,-1,837693,-1,-1,993646,525958,-1,-1,-1,285656,62122,-1,459668,847048,15530,-1,-1,358862,830420,380949,-1,913110,14243,-1,-1,50824,-1,-1,200497,354853,-1,-1,-1,-1,-1,-1,744155,-1,-1,881594,461404,-1,-1,24618,755120,577851,-1,653977,-1,-1,428063,283835,435372,373253,275118,-1,848421,229927,-1,735549,-1,-1,5380,-1,-1,3829,-1,-1,-1,309914,-1,-1,259948,863158,914938,772646,607113,-1,13052,728039,-1,-1,-1,-1,-1,-1,-1,36379,-1,305080,466489,-1,-1,-1,-1,-1,987375,643056,-1,-1,-1,-1,-1,-1,858137,104456,-1,219279,181796,-1,804505,-1,-1,650719,74654,800517,-1,604798,-1,9628,549434,454190,330326,-1,-1,725893,472046,-1,-1,410579,-1,-1,233361,371257,-1,-1,821041,-1,-1,-1,-1,-1,-1,-1,-1,121672,-1,-1,413795,299738,911092,111072,436814,90849,550283,529218,243440,549725,-1,922310,877062,-1,-1,-1,-1,-1,-1,-1,-1,-1,642967,-1,457909,371947,657592,-1,715142,790493,-1,60994,-1,-1,849956,-1,621149,755924,-1,-1,665352,-1,156037,-1,940785,-1,-1,643706,816345,-1,17060,599592,-1,804795,-1,495712,194068,486980,-1,226208,758503,-1,-1,542516,-1,-1,72499,-1,898756,322711,983424,-1,-1,-1,-1,-1,734423,-1,117488,-1,796265,-1,-1,895394,-1,-1,-1,187498,619317,284506,-1,20753,870009,-1,-1,628552,767873,-1,-1,-1,500997,-1,-1,-1,-1,-1,-1,-1,751464,-1,-1,-1,-1,-1,563103,440803,246754,-1,423978,-1,-1,216300,805106,-1,148880,-1,-1,447984,449557,669052,948696,763524,674918,356912,-1,-1,597733,-1,916028,697641,-1,827778,-1,-1,228096,49437,463322,727352,522666,-1,-1,607089,472309,326764,-1,182324,721908,182428,-1,-1,-1,-1,872032,321005,-1,516222,-1,733354,-1,-1,-1,-1,49850,510068,857379,-1,131632,-1,-1,288835,-1,275003,46603,-1,873301,-1,4253,-1,-1,-1,-1,580372,822897,-1,-1,-1,-1,76856,645001,-1,-1,-1,-1,-1,-1,-1,972282,841160,-1,823149,307073,-1,-1,702679,238985,-1,655032,761722,-1,424195,-1,-1,274898,-1,643699,-1,210560,-1,-1,168779,-1,212021,273769,-1,546933,-1,-1,-1,30379,-1,-1,201465,51575,33289,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,619695,-1,839060,-1,896725,-1,502932,-1,-1,579543,-1,-1,418694,-1,-1,-1,466888,964820,579682,-1,-1,317753,-1,-1,25724,-1,-1,-1,-1,-1,332516,-1,744563,612314,999065,741520,162669,-1,170599,629823,931256,673036,39119,174492,935633,-1,376751,-1,-1,580142,-1,-1,276626,-1,-1,-1,767019,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,531148,-1,-1,936859,461891,671967,-1,-1,-1,561019,-1,-1,522899,272773,-1,854898,-1,-1,-1,75699,338476,429163,-1,242339,-1,432857,-1,-1,-1,588885,356169,659155,-1,945752,-1,416856,-1,-1,271616,-1,753416,-1,-1,415464,-1,959153,-1,213092,-1,880462,851951,-1,570595,-1,-1,406838,803706,777326,361233,611897,-1,750123,-1,-1,802508,-1,533843,-1,537673,-1,601733,-1,32380,812706,424853,109900,-1,732061,891189,677998,-1,830000,-1,-1,-1,301572,796837,-1,-1,-1,-1,136268,-1,407784,609295,395901,-1,-1,-1,90368,444693,197497,926710,-1,-1,-1,626205,-1,318143,-1,-1,961594,-1,-1,927214,-1,6480,-1,-1,640656,506563,768749,438643,-1,-1,-1,-1,-1,-1,-1,36072,-1,-1,43626,577982,110380,-1,-1,550223,377160,-1,704621,712861,-1,-1,-1,-1,33925,-1,744043,-1,220796,-1,-1,-1,-1,122811,-1,-1,200232,796077,386396,-1,-1,120709,-1,-1,-1,538436,-1,56960,168997,-1,-1,-1,-1,-1,222032,800040,-1,-1,-1,-1,-1,-1,323029,-1,-1,-1,-1,470229,640252,222999,-1,-1,-1,348978,-1,612954,572285,922982,-1,-1,-1,503131,728932,574232,356770,-1,-1,466820,-1,-1,-1,816780,251753,-1,589399,-1,620586,408982,888816,-1,123932,-1,548992,292074,-1,898870,-1,707575,-1,549581,-1,896176,238934,120063,-1,833169,-1,-1,-1,344398,23032,-1,716360,826181,-1,-1,-1,-1,707684,-1,107091,-1,12070,-1,-1,419188,380719,-1,-1,892128,215986,419520,-1,-1,-1,903431,-1,-1,-1,-1,-1,183643,43271,-1,25864,-1,-1,-1,233540,-1,65789,-1,-1,94748,-1,-1,-1,-1,719556,-1,-1,-1,478375,822023,-1,37715,-1,-1,312526,667585,588070,482546,-1,30801,-1,-1,-1,384450,-1,-1,135614,857615,84715,58150,119776,688463,-1,652341,-1,723326,-1,-1,157529,483355,973757,-1,844688,104404,698936,351432,-1,-1,-1,599911,146251,-1,464911,-1,-1,556014,821326,784687,170092,259890,470150,50486,155982,439334,651398,-1,-1,-1,664276,-1,-1,-1,-1,-1,268299,586900,-1,-1,-1,-1,-1,-1,-1,-1,280095,-1,-1,236100,-1,-1,-1,777786,-1,961825,-1,697749,-1,983455,853745,-1,582379,476304,499621,471981,-1,12789,673170,606049,-1,258992,-1,-1,-1,-1,547832,800999,-1,-1,-1,-1,-1,736343,247347,398913,401191,-1,-1,-1,928376,-1,-1,522953,372334,-1,254699,-1,477743,386757,40100,-1,883055,-1,-1,-1,-1,595829,331312,-1,-1,546108,-1,581635,301407,40407,-1,-1,-1,-1,-1,66493,2865,-1,275156,-1,162667,709992,214277,-1,307139,550120,-1,220851,153572,127737,-1,769151,-1,748127,-1,-1,848411,271675,805078,-1,-1,180606,453448,-1,921033,640880,-1,-1,-1,-1,-1,306916,-1,-1,-1,34362,479595,713890,963614,951603,-1,-1,-1,496859,-1,271560,588736,225352,785657,351786,-1,-1,-1,652195,879276,878978,-1,771349,-1,605005,-1,870844,-1,718623,689085,-1,-1,-1,406073,-1,517529,-1,-1,913545,-1,284866,445205,-1,-1,-1,82677,-1,-1,139219,850809,-1,526403,835154,-1,479189,674926,-1,262396,412274,-1,182968,-1,-1,898191,744698,389964,-1,-1,-1,-1,403094,515554,971563,-1,272083,745499,-1,-1,954839,57770,879718,-1,-1,-1,-1,-1,-1,-1,934643,384907,-1,-1,923223,345334,-1,364805,-1,-1,6831,253681,-1,315015,-1,-1,-1,980066,934156,88728,-1,184323,574045,-1,997111,-1,228877,-1,46720,-1,664290,955483,-1,958401,993718,-1,35580,-1,-1,-1,-1,-1,-1,-1,78644,263250,917422,-1,383355,906525,615911,-1,515278,401439,-1,-1,631963,-1,-1,712154,-1,366405,-1,-1,-1,-1,363229,711919,149371,313017,484657,614915,-1,-1,-1,-1,-1,-1,-1,9453,224633,-1,234846,424305,23898,-1,621355,-1,429487,-1,-1,-1,368180,-1,-1,-1,191767,624084,472617,399697,346379,-1,376399,508462,-1,528967,-1,40733,204035,292884,-1,-1,458110,-1,-1,-1,918136,939804,-1,692912,-1,-1,928928,663468,622338,394543,373021,265028,-1,19782,8315,-1,-1,-1,72151,-1,-1,-1,-1,-1,682214,-1,-1,260377,-1,-1,-1,795189,100047,-1,-1,-1,-1,681595,197657,-1,-1,940613,-1,-1,947881,-1,-1,-1,-1,-1,-1,-1,587642,837410,-1,700497,598333,511373,-1,758308,926623,428551,539018,815254,-1,405745,172234,35280,442925,-1,396654,-1,-1,-1,91628,65878,4956,116958,-1,875845,-1,-1,344395,717546,953332,-1,-1,569354,385015,441669,172939,-1,188519,156530,-1,315770,-1,321653,-1,-1,-1,51934,-1,-1,630891,439810,-1,218992,573099,-1,-1,-1,-1,-1,-1,-1,596125,197683,-1,951387,332728,-1,828310,628351,254398,-1,-1,-1,-1,287665,790814,-1,257677,701216,-1,-1,553797,724850,294143,867004,108858,672603,-1,721454,638876,-1,-1,639914,881796,523446,-1,200862,293726,500563,651492,-1,225840,271164,-1,-1,699988,338746,904834,436739,-1,-1,-1,-1,33579,-1,-1,24546,-1,294804,-1,946531,-1,-1,-1,716954,-1,-1,-1,928007,-1,653660,862858,-1,-1,-1,259706,-1,943539,-1,-1,295743,972096,-1,474441,-1,-1,710600,873016,505084,822883,-1,-1,974686,161941,-1,909168,848745,-1,-1,-1,220265,124497,-1,950229,866164,799353,116061,79777,-1,791325,-1,410785,-1,487773,-1,-1,855402,-1,318775,696103,410772,792223,-1,957193,-1,-1,254016,438607,279606,862283,118275,741358,172065,155124,269193,-1,-1,-1,-1,-1,840057,-1,-1,-1,-1,836299,406231,737333,-1,847674,-1,786644,-1,987037,-1,-1,-1,-1,56754,648331,269532,-1,-1,775221,-1,-1,871674,-1,436767,503678,646541,-1,-1,722909,-1,295088,-1,615861,-1,-1,-1,86639,757392,-1,-1,-1,450154,70168,-1,-1,500859,-1,568765,314566,639216,675355,517570,1285,354275,-1,-1,-1,673156,-1,916732,-1,-1,947449,312203,-1,-1,-1,-1,435256,827424,-1,396593,-1,-1,476539,-1,440318,11707,-1,-1,290695,-1,-1,50388,-1,977853,-1,599693,-1,-1,-1,-1,615603,-1,664875,89750,142038,-1,-1,-1,-1,-1,370804,405980,-1,-1,289807,599291,-1,675808,-1,329288,-1,536224,-1,39111,720711,527769,-1,-1,708385,-1,-1,-1,-1,-1,-1,-1,880834,866171,124298,280373,-1,-1,-1,150072,761381,451153,-1,113908,663622,-1,127636,6764,-1,28373,177075,-1,597263,-1,600743,425058,556273,564707,791957,-1,93037,848221,846598,-1,-1,78840,-1,746567,608895,241059,-1,-1,579550,-1,343634,-1,-1,-1,-1,930388,604450,742082,-1,-1,418176,445510,822868,-1,-1,-1,568838,489525,233836,-1,657747,924891,340856,111400,-1,206732,-1,-1,35042,741799,94083,-1,180009,930723,890283,-1,-1,540862,-1,-1,-1,-1,496755,551509,-1,-1,-1,-1,-1,692364,-1,-1,400516,539825,-1,-1,352073,732546,777436,-1,-1,-1,-1,134660,430110,-1,-1,-1,-1,311156,992733,-1,617453,-1,-1,322539,35108,-1,-1,-1,-1,-1,-1,-1,973353,284153,-1,789969,153334,278282,131934,-1,-1,932199,259119,710916,198014,-1,898528,-1,564529,606697,595536,-1,-1,56737,-1,-1,-1,290743,-1,312606,414788,264494,-1,-1,-1,66244,-1,694762,290596,-1,793591,-1,197660,641243,887184,-1,-1,-1,959169,204311,504079,160791,229610,155068,533235,993612,484192,-1,-1,-1,-1,934651,832449,725906,504827,-1,-1,-1,-1,575615,943813,204593,-1,-1,-1,270378,627060,330314,-1,-1,98253,-1,-1,829802,73143,951005,835683,-1,-1,809795,-1,255240,-1,537321,-1,-1,-1,-1,504694,-1,-1,-1,895696,526004,954055,909354,-1,-1,517162,211063,268528,-1,390203,-1,-1,338117,66102,-1,68596,11764,-1,-1,705373,-1,486099,27505,-1,-1,758665,498973,282456,-1,259305,959206,763578,794539,836868,47908,455658,551644,-1,-1,323915,-1,491919,737480,-1,18840,749456,747239,32499,-1,282223,-1,-1,742395,-1,-1,-1,482486,473180,-1,-1,-1,-1,774435,909784,-1,976708,-1,-1,671109,297580,979080,-1,-1,338134,-1,-1,248215,-1,-1,-1,471460,-1,987394,712318,-1,49813,711627,-1,659803,-1,-1,-1,767621,-1,-1,60973,696395,212558,-1,223742,-1,469260,-1,-1,875963,-1,-1,112824,122939,-1,-1,557538,-1,613525,-1,-1,-1,-1,-1,853694,-1,-1,-1,-1,-1,207182,-1,-1,820261,493879,10442,-1,462752,-1,-1,-1,-1,83255,753566,967330,234456,759950,228645,591334,66841,-1,559492,-1,154176,-1,-1,436668,554049,-1,395924,-1,233954,-1,-1,-1,352804,600774,-1,881474,-1,572257,-1,784989,919187,-1,-1,-1,644272,951106,-1,63358,-1,955310,-1,-1,-1,660176,228636,-1,-1,-1,885976,710324,-1,-1,940875,-1,-1,544514,373153,-1,202737,61403,-1,-1,-1,156923,-1,-1,24162,-1,-1,623843,170548,803480,-1,643434,-1,-1,-1,-1,-1,-1,538072,76149,310431,-1,23424,-1,767102,-1,985380,115326,-1,-1,280421,526927,332951,-1,-1,-1,-1,-1,883283,386167,909898,-1,-1,874463,-1,80874,39003,-1,-1,432234,-1,320576,640906,-1,872589,388475,869009,-1,36696,-1,-1,574940,-1,273607,687064,96194,658798,225475,308401,-1,806252,-1,650692,481543,-1,553362,-1,-1,861426,70485,79564,-1,343317,-1,203379,-1,-1,871384,662927,-1,45606,507655,373858,694576,-1,429786,848898,-1,-1,-1,-1,944398,-1,732242,456465,-1,-1,479532,175533,-1,-1,-1,853161,847668,715424,-1,180528,259894,174951,-1,76861,87094,-1,987859,-1,-1,-1,331235,521367,-1,-1,-1,-1,490823,-1,-1,643758,591330,174179,410298,-1,554252,-1,-1,-1,535235,393400,696052,526100,-1,58203,761673,938665,150562,-1,-1,725026,-1,431127,-1,966152,-1,-1,-1,763158,999361,-1,-1,496205,809928,813232,4536,-1,318887,841013,-1,871886,147371,-1,399263,-1,164671,232104,-1,-1,-1,927838,-1,336670,495815,-1,437967,145306,-1,207043,85409,-1,380174,-1,842728,871491,524827,-1,865819,476470,-1,-1,-1,29050,598733,-1,347961,-1,488402,-1,-1,-1,-1,-1,-1,542077,881168,884113,-1,-1,-1,482206,-1,482704,-1,512047,31614,877041,-1,-1,657571,-1,-1,19889,768470,-1,230378,198736,-1,-1,-1,-1,-1,-1,586704,-1,-1,-1,289265,-1,678246,595035,933681,289626,901843,727658,267338,-1,928523,523183,-1,-1,882378,664531,588038,410980,137007,-1,133702,-1,-1,-1,-1,576585,454816,-1,831574,-1,-1,283091,263026,995272,803994,660422,831901,-1,-1,246955,-1,-1,962395,577924,-1,-1,737726,-1,-1,-1,933731,55294,-1,663223,555352,424166,-1,-1,-1,-1,-1,848966,956606,762334,166993,565286,544926,900604,124206,-1,-1,-1,-1,517412,-1,-1,-1,779972,-1,440188,897006,-1,109328,-1,143897,-1,-1,205312,-1,-1,958981,876709,859999,201146,-1,49553,370328,-1,-1,918099,421441,361492,799877,-1,115418,-1,-1,-1,260622,-1,-1,353125,887038,-1,-1,-1,-1,223692,298488,452567,-1,21562,791850,468354,-1,822240,14384,-1,-1,814559,-1,423155,-1,843892,-1,-1,-1,-1,246401,953910,227625,516440,-1,-1,-1,820843,223656,690269,555376,-1,754511,795774,-1,465862,-1,-1,-1,-1,-1,-1,443106,-1,63313,7904,-1,-1,500967,-1,-1,734468,325361,437036,-1,444581,487795,522199,830255,186003,-1,-1,76227,-1,637142,-1,902851,-1,-1,-1,412557,422352,12539,-1,627033,-1,879134,-1,-1,357391,448312,-1,-1,476195,-1,16017,208678,546020,-1,768935,214767,662632,-1,736253,811635,295680,-1,53006,-1,367133,-1,754725,-1,493091,-1,-1,-1,197837,660169,133414,-1,-1,-1,251275,52344,-1,-1,174848,939038,-1,-1,-1,-1,225169,725365,-1,328133,-1,833601,317665,258739,-1,-1,-1,976405,-1,-1,894889,-1,-1,580403,427247,-1,-1,-1,950879,174667,-1,961166,-1,-1,-1,-1,991477,-1,-1,655688,374269,-1,300952,325471,498601,834913,77894,600820,-1,-1,258696,598317,-1,186224,-1,-1,-1,-1,-1,985955,896371,772476,-1,-1,504949,-1,781028,-1,-1,-1,-1,-1,417680,-1,269641,999173,-1,778556,-1,-1,261586,-1,84707,-1,-1,-1,-1,732845,-1,-1,791715,927158,-1,64190,183286,326491,-1,-1,-1,-1,-1,508832,582346,-1,-1,139780,-1,636399,-1,-1,-1,-1,-1,824935,586700,-1,-1,-1,963686,-1,179112,-1,-1,-1,303131,-1,677878,-1,786854,464846,-1,-1,387159,75866,110972,897060,-1,-1,822994,240284,-1,-1,-1,908855,280504,41359,382478,-1,883511,866995,-1,956901,-1,129982,-1,-1,-1,-1,147136,-1,-1,486631,855586,412051,-1,252341,-1,-1,-1,-1,-1,-1,239709,-1,-1,85076,77846,64325,-1,-1,331938,212009,40043,632733,743331,445994,339941,-1,-1,-1,-1,257925,112920,531038,-1,504911,223247,-1,207799,98646,262469,-1,-1,-1,-1,72228,691668,321224,454707,-1,461229,-1,682432,-1,-1,-1,781823,-1,-1,-1,987190,331872,-1,273339,252396,-1,-1,829529,-1,264673,304327,-1,533737,384031,252394,-1,-1,672010,33597,-1,538426,-1,846233,-1,-1,224348,976760,863195,320256,-1,-1,-1,-1,979486,414081,-1,-1,-1,-1,-1,-1,157350,815894,-1,-1,17695,-1,-1,402934,-1,-1,638466,-1,79708,893026,-1,-1,603822,288320,624417,-1,-1,-1,375866,94608,779537,-1,-1,824236,626547,-1,-1,279973,639823,500612,68205,947642,755775,375656,668136,-1,470873,-1,394344,-1,-1,757756,-1,10886,-1,-1,-1,748462,-1,61603,264202,-1,806484,879828,124730,-1,-1,802282,-1,-1,890871,731,-1,134200,879148,-1,963385,123856,-1,253291,498549,86961,108047,465201,-1,-1,774206,-1,-1,-1,396833,965585,140958,384967,-1,-1,656159,830768,-1,-1,-1,58098,-1,-1,495971,-1,715679,833130,461085,30790,656335,-1,219014,-1,-1,708335,775027,263498,7470,-1,923412,-1,938171,326366,-1,-1,-1,-1,359396,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,564380,210470,305487,-1,-1,675772,642449,-1,-1,328905,-1,-1,567385,696196,296393,996158,-1,146617,720732,386088,817848,455071,-1,803341,760652,711455,298042,-1,-1,581586,81439,-1,449538,-1,380468,-1,3057,-1,-1,-1,-1,-1,162077,-1,155985,-1,-1,933936,305480,827087,-1,755604,-1,298413,-1,473716,641869,-1,-1,815430,502821,855974,-1,-1,942757,655407,958720,-1,90114,-1,27090,-1,-1,-1,-1,73977,-1,-1,746367,445351,267048,-1,-1,610892,742602,-1,-1,772358,-1,-1,35931,-1,-1,438765,-1,-1,-1,306752,-1,-1,-1,576604,-1,752165,420146,352952,715744,-1,-1,-1,726716,335351,-1,390395,921836,759565,-1,377669,879218,-1,-1,-1,-1,686923,-1,-1,893037,-1,-1,-1,-1,-1,118681,696361,-1,101621,-1,-1,503882,-1,-1,-1,-1,509021,-1,881756,-1,-1,-1,463197,-1,195442,734595,-1,-1,-1,-1,-1,-1,929516,539160,-1,21924,-1,405939,144640,366497,876856,51235,-1,-1,-1,596110,189927,108375,916922,420436,-1,721924,495980,518583,-1,-1,-1,-1,332373,713889,-1,-1,-1,206849,643097,-1,838535,321866,611217,985807,877652,-1,696041,723220,-1,478211,51913,-1,-1,-1,294701,-1,175161,-1,944640,304534,214404,-1,-1,-1,793703,101616,-1,228161,831493,-1,-1,-1,-1,899242,-1,-1,26077,-1,990804,-1,-1,357424,-1,-1,-1,-1,814384,36684,695530,978425,140550,693901,602415,171412,928795,-1,198230,562509,-1,-1,397805,-1,-1,470391,-1,-1,-1,118879,770567,956729,457204,-1,488058,-1,341427,-1,519811,731263,957278,-1,306836,-1,619418,493388,423986,-1,-1,-1,-1,716855,-1,-1,969739,755948,563755,694001,-1,-1,-1,-1,-1,-1,-1,774460,18887,-1,-1,-1,-1,748428,510473,301696,232449,-1,-1,440889,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,184679,410840,-1,918415,-1,655037,-1,605965,248402,649739,181782,4195,775515,-1,-1,-1,-1,499270,943903,-1,-1,616374,568861,-1,-1,-1,-1,-1,-1,-1,175143,966306,-1,59747,-1,627748,-1,597691,7691,-1,836602,-1,-1,755088,310022,-1,-1,-1,-1,869327,-1,-1,868911,431419,522971,347127,828179,217900,162123,-1,-1,75549,-1,-1,-1,403436,-1,-1,-1,632702,-1,-1,-1,-1,399526,-1,-1,69237,-1,-1,-1,760225,-1,-1,808047,-1,188677,297548,-1,309419,844242,433459,173291,452215,-1,212965,314842,453048,-1,935153,309806,889270,-1,-1,-1,858463,-1,-1,-1,-1,-1,435789,459356,137221,-1,-1,-1,-1,-1,795503,820954,573267,172770,942032,-1,677865,-1,908079,-1,-1,30658,588950,925214,861735,788047,672668,-1,316240,-1,175176,320401,-1,-1,225523,-1,250888,207102,335992,921276,-1,-1,760489,482932,31264,971366,-1,874612,860948,141372,-1,-1,248636,754262,657920,-1,188230,875443,-1,291687,86690,178159,-1,425146,891045,-1,26672,-1,-1,700321,-1,548087,-1,-1,594263,-1,-1,-1,187308,237763,-1,-1,-1,496113,-1,-1,342246,-1,919177,-1,708523,419745,936784,-1,356564,-1,750342,-1,864487,-1,851785,-1,-1,840649,-1,265084,-1,-1,-1,-1,158951,-1,-1,-1,839639,-1,-1,866086,871907,-1,586357,582483,135223,-1,-1,-1,33101,193969,641703,898659,633461,997529,-1,2123,568268,-1,997466,-1,-1,713796,821731,21762,758553,958522,559506,839072,381325,395886,716413,813360,672404,16517,-1,-1,247796,-1,-1,-1,-1,146708,-1,-1,549834,232135,147113,996004,366436,-1,-1,613984,632051,849384,-1,-1,258392,-1,706236,-1,107564,-1,-1,-1,763616,-1,640446,97465,-1,568610,324174,268639,-1,-1,359176,-1,446630,315639,866541,-1,-1,123867,551643,-1,-1,489846,-1,-1,844755,86933,-1,-1,-1,964477,-1,942192,189705,-1,-1,-1,621846,-1,-1,115707,96793,449845,-1,-1,574633,256994,-1,927323,-1,904864,323902,315439,-1,977071,-1,582389,-1,-1,-1,-1,652757,-1,550883,-1,173893,-1,-1,925694,-1,-1,921688,439741,-1,307431,-1,-1,327169,-1,346581,44647,-1,471086,-1,-1,-1,267791,950896,794721,-1,-1,-1,662851,-1,-1,963292,-1,456131,170057,-1,-1,-1,82751,-1,-1,-1,-1,136253,877078,334608,69416,271904,-1,832864,939614,-1,484352,590639,337962,73149,-1,928936,332095,-1,490431,796248,-1,502283,-1,-1,-1,933147,685561,911979,402173,523445,501785,840166,444341,-1,192943,-1,-1,530113,425429,-1,-1,-1,-1,-1,-1,-1,-1,308347,-1,748513,304488,-1,852986,653455,388614,437708,-1,-1,-1,583172,-1,632273,-1,-1,578929,262013,341217,7700,-1,-1,310275,-1,-1,-1,495897,902504,380982,-1,-1,986980,519306,-1,-1,713279,-1,109604,417850,-1,751379,-1,699525,-1,252651,530827,801760,-1,-1,566184,-1,-1,666643,898769,344517,-1,-1,-1,-1,106253,-1,-1,-1,19102,-1,-1,781966,717062,341369,-1,562371,254487,-1,33586,89411,348563,239549,-1,-1,-1,-1,-1,-1,-1,-1,-1,483033,378192,954829,-1,537809,410661,972283,-1,979773,-1,672640,112648,116256,-1,600777,-1,-1,-1,254751,346435,-1,-1,-1,788684,264730,-1,-1,-1,643096,-1,-1,859368,404457,-1,420229,-1,756563,90386,590758,38711,670804,-1,56566,902623,-1,259888,61610,410190,-1,-1,-1,788339,661971,295322,-1,-1,-1,310121,682117,740709,-1,609414,-1,-1,177614,-1,-1,-1,-1,447794,68759,-1,-1,620647,-1,-1,-1,-1,230095,-1,-1,-1,-1,954701,-1,-1,975069,57750,-1,622866,835334,-1,80323,585956,-1,312397,-1,-1,256733,-1,546461,-1,265748,569082,-1,738708,452358,-1,-1,699466,782710,-1,-1,-1,-1,137731,-1,938363,-1,355547,-1,-1,-1,-1,-1,555419,179903,-1,-1,997077,-1,373204,-1,-1,300915,287804,883326,92093,-1,-1,383785,963630,-1,995368,856237,-1,-1,765380,-1,103773,929378,920849,-1,-1,238369,181401,-1,-1,-1,-1,557846,-1,-1,404323,199132,-1,827613,-1,-1,768429,-1,165957,975995,-1,-1,-1,742507,-1,7962,258001,-1,-1,205919,-1,892990,959276,494849,-1,-1,-1,-1,-1,286233,424691,-1,-1,-1,113844,-1,990583,266082,928802,-1,686960,-1,335445,-1,-1,-1,606281,233253,-1,511744,-1,-1,-1,556420,-1,-1,-1,-1,911941,445759,868671,315709,477900,286865,-1,443186,156002,374764,155626,370108,-1,-1,669381,861555,764591,-1,-1,-1,482883,-1,-1,680814,365795,-1,-1,-1,-1,-1,906193,100246,-1,-1,-1,-1,243311,-1,11964,691604,-1,761467,20715,-1,-1,18998,-1,-1,-1,806499,382349,350911,-1,-1,-1,773247,-1,507390,-1,-1,-1,-1,272506,-1,-1,355262,-1,978240,-1,68425,-1,634810,864540,356441,773819,318030,507559,590602,80112,-1,-1,-1,832613,826796,381824,-1,-1,-1,-1,302709,361891,-1,767920,122179,93942,686388,-1,-1,-1,-1,470520,460099,-1,-1,-1,-1,-1,-1,837264,139163,660130,617023,-1,-1,-1,101874,160000,-1,-1,745787,-1,3834,-1,-1,-1,946904,-1,582388,-1,743565,161571,-1,96925,883809,827329,-1,-1,-1,-1,-1,363677,811174,802168,95612,583542,861201,-1,-1,135310,190965,-1,-1,140377,408447,-1,163218,-1,-1,387542,-1,659628,-1,-1,-1,690997,-1,-1,827662,-1,-1,-1,815002,-1,-1,-1,138312,587267,961665,41923,446271,309897,-1,-1,-1,445525,-1,914037,-1,-1,-1,-1,860790,-1,-1,-1,-1,-1,117192,-1,-1,-1,846497,553989,-1,249937,-1,997991,-1,-1,407772,167042,-1,31317,-1,-1,-1,4306,386742,-1,450294,93457,134488,194218,-1,521530,-1,-1,-1,-1,-1,621171,623361,390180,169679,-1,-1,-1,-1,-1,100467,804794,-1,890083,-1,987815,352852,168973,-1,889815,-1,463665,-1,940963,-1,-1,-1,-1,-1,-1,430760,-1,890098,840671,3340,905512,-1,-1,283639,854412,-1,636401,-1,628704,418761,520194,472502,129369,234454,-1,-1,783196,818085,963280,334627,-1,122131,270247,-1,266080,-1,841181,245688,-1,517739,27087,-1,188867,-1,-1,-1,693833,-1,-1,-1,697188,282443,-1,211203,699110,492432,-1,-1,-1,447315,298762,-1,-1,-1,432941,-1,993242,267912,-1,383786,801951,831287,-1,283494,-1,249549,33874,283348,78068,158455,-1,-1,615378,-1,-1,-1,-1,-1,286082,-1,547229,-1,266413,-1,-1,-1,93672,947519,-1,435668,-1,58899,208289,-1,-1,151723,-1,779213,855277,-1,-1,-1,603422,372923,-1,448077,-1,-1,-1,-1,476151,636642,58401,-1,-1,138676,-1,387647,-1,-1,-1,-1,916240,590352,-1,269460,-1,-1,-1,85831,-1,492609,986099,666746,-1,-1,416049,354251,329633,443375,-1,475391,838958,-1,53541,924597,802329,422608,-1,-1,-1,20319,834044,-1,-1,-1,-1,-1,375447,239514,716957,-1,-1,450933,966517,270792,265979,-1,510296,-1,576316,-1,-1,82522,896164,76430,783104,616820,638384,119838,-1,-1,173430,345672,486,-1,336937,-1,499872,278585,687512,536654,-1,-1,752934,-1,769657,639127,471651,851539,126949,423111,990154,499263,-1,528513,578034,739460,584705,-1,-1,695689,942200,4118,-1,-1,31001,250270,529028,-1,-1,-1,242277,30101,-1,-1,800611,144230,912790,572211,-1,-1,-1,512902,348494,846788,929057,-1,-1,394348,121754,-1,157965,909585,601281,873325,990363,-1,-1,-1,-1,-1,508033,-1,-1,-1,742248,-1,685628,599826,-1,-1,-1,148872,176297,519366,-1,551405,474052,788842,857580,-1,379876,-1,-1,-1,-1,388291,250661,-1,-1,11474,-1,257463,283945,472225,-1,344066,212513,-1,-1,913939,-1,869654,-1,-1,655108,217255,-1,398562,-1,-1,-1,834607,-1,58581,289363,407440,-1,326608,728550,-1,-1,227224,-1,-1,889933,-1,-1,-1,-1,-1,-1,-1,-1,640272,-1,813793,-1,196769,555692,144841,-1,388163,-1,-1,888896,-1,276169,829771,605618,-1,-1,-1,535045,178034,-1,-1,-1,882018,308477,793808,318365,-1,760254,29904,614450,232121,802960,-1,256702,864244,-1,794790,616281,897710,251094,238692,958144,911623,-1,-1,-1,-1,227667,327736,-1,-1,-1,507404,-1,-1,-1,476963,25935,-1,-1,105027,-1,917262,-1,912168,-1,927357,132568,-1,807930,-1,-1,907802,944865,-1,768126,607696,980994,483976,190295,-1,879189,-1,768039,-1,190576,-1,-1,-1,57968,-1,-1,789422,-1,383135,-1,-1,451756,891426,713367,-1,-1,-1,-1,3560,-1,-1,-1,-1,56100,713356,244762,707515,-1,961264,-1,787574,488028,764473,-1,-1,9361,-1,-1,-1,-1,-1,569521,651474,-1,-1,520860,-1,-1,-1,308944,799750,-1,-1,880265,944412,-1,-1,645355,766252,113163,301435,134366,929760,-1,-1,-1,-1,-1,194800,361530,30208,426735,148569,887608,-1,-1,-1,-1,364524,838593,884516,20519,-1,952461,258049,742825,-1,428802,-1,-1,125122,70551,-1,771014,478029,895971,-1,-1,-1,-1,419182,505711,914428,-1,-1,-1,68509,71150,-1,797903,905979,-1,-1,186868,610224,-1,699842,894316,229703,963986,88850,-1,2281,-1,-1,782743,346402,-1,39787,18952,465067,593548,174249,-1,-1,-1,-1,-1,-1,-1,244079,252431,-1,-1,708822,-1,685605,-1,-1,14539,826858,-1,-1,-1,920219,400768,-1,790779,949077,-1,-1,76241,291170,-1,434713,-1,232276,-1,946703,703834,875429,912211,-1,-1,-1,-1,535833,371335,-1,-1,852218,-1,-1,-1,217912,-1,-1,-1,948629,421619,140204,-1,-1,931728,189226,-1,532120,185127,-1,-1,-1,-1,-1,278342,101369,-1,-1,847219,-1,-1,-1,624791,-1,496951,-1,-1,100176,115589,-1,723687,488324,-1,640058,-1,-1,439582,-1,242565,269780,500729,-1,991283,-1,-1,84903,-1,378912,436442,-1,-1,-1,-1,-1,-1,-1,489565,-1,912940,-1,130571,188553,254621,-1,-1,-1,-1,708546,-1,612360,247272,-1,413576,-1,-1,556968,388520,441504,-1,944305,-1,381756,134399,-1,60081,-1,21514,919728,-1,-1,-1,86547,-1,-1,452204,834214,626609,431881,-1,955525,-1,727285,152560,-1,-1,383284,-1,402793,-1,-1,-1,577197,285700,-1,529856,377955,65176,361282,-1,-1,294832,170596,-1,451688,472167,620478,-1,-1,-1,-1,509440,-1,441279,-1,371499,405631,488900,-1,179619,269501,377612,989759,584509,-1,155152,538038,360860,554342,-1,-1,-1,-1,359019,-1,-1,-1,277794,656686,250157,-1,-1,-1,492950,124346,-1,-1,49182,-1,924026,739801,162044,-1,726522,-1,816053,277143,161206,-1,-1,-1,-1,920110,-1,857283,838686,-1,-1,202392,179444,-1,-1,553783,543712,-1,-1,413848,421670,103124,151239,-1,-1,-1,-1,-1,-1,369896,401755,-1,958955,-1,-1,-1,-1,413463,-1,705337,-1,669391,-1,564277,774249,-1,521532,-1,256572,163442,-1,201710,797463,-1,592202,-1,-1,-1,-1,163640,334939,-1,261805,-1,966986,-1,455619,-1,898527,428878,870619,642588,-1,-1,-1,-1,-1,784117,894627,-1,-1,785754,326551,-1,-1,139667,-1,423553,-1,-1,-1,-1,785361,53397,903636,215022,558378,855079,-1,826427,900370,-1,-1,498667,550192,362796,-1,532586,-1,-1,575246,-1,560104,-1,517383,534169,66673,-1,-1,828648,605857,488905,-1,528569,-1,-1,497541,812436,807585,-1,-1,365561,618250,250935,-1,-1,-1,-1,43358,289741,-1,891763,-1,-1,928527,949681,629230,747347,648708,-1,97879,-1,429291,-1,-1,-1,-1,506357,-1,-1,142895,-1,720677,-1,958598,-1,-1,583237,763254,338607,769886,396588,-1,-1,-1,-1,-1,603603,-1,460441,-1,887438,202412,370286,-1,348800,-1,540244,-1,104649,54938,-1,308473,366153,672154,-1,-1,404331,-1,293517,261784,536420,-1,672586,57456,-1,-1,611568,-1,824187,212893,-1,935685,295366,36997,-1,886260,418095,-1,-1,-1,698758,-1,-1,61805,-1,-1,-1,211229,43184,43640,973013,321487,774868,606824,678276,-1,-1,66246,32013,38972,-1,599504,-1,16796,-1,773485,855854,-1,-1,711553,-1,-1,37220,331112,421693,645344,958405,-1,-1,-1,494570,-1,945983,137469,-1,69870,-1,303588,-1,711630,238411,223878,154576,-1,386546,-1,-1,580470,45826,954970,540490,749142,926529,-1,-1,96678,-1,-1,-1,-1,559481,-1,80024,344523,390324,474076,-1,377624,186616,92,-1,357886,-1,-1,711000,-1,-1,-1,768537,36125,397464,386179,-1,531243,-1,-1,-1,-1,705634,804462,752376,-1,-1,273546,-1,-1,132208,198676,336009,-1,468075,297364,36802,478539,334276,363680,-1,-1,704280,-1,720980,-1,213673,-1,-1,120699,482246,840306,-1,-1,-1,78666,122158,-1,-1,945383,201371,896775,649553,880139,-1,796721,-1,-1,386853,-1,-1,-1,711194,346211,-1,326891,-1,-1,-1,-1,-1,-1,-1,178466,616821,-1,-1,-1,130059,-1,-1,-1,-1,-1,462675,-1,250076,521830,-1,-1,227991,919723,-1,-1,210410,-1,358011,314253,631456,-1,83594,-1,-1,179216,-1,-1,958727,712658,-1,566516,-1,362762,-1,-1,-1,-1,634914,-1,-1,87110,-1,246932,-1,-1,162715,-1,987606,345016,151699,411449,-1,965529,368983,-1,-1,505881,190261,-1,-1,-1,-1,-1,906217,-1,84592,-1,912487,-1,-1,737164,-1,751979,795044,903793,302028,-1,251809,855069,-1,454177,-1,-1,-1,-1,943987,400454,-1,-1,450435,-1,966265,-1,-1,142128,194112,-1,899058,-1,919840,-1,-1,-1,762287,954520,685846,-1,-1,-1,461519,817568,961222,-1,-1,739593,669763,-1,-1,-1,918177,193804,-1,-1,965854,-1,-1,-1,556066,-1,616251,638345,222295,-1,-1,-1,-1,-1,-1,821920,-1,600106,-1,328615,-1,553626,-1,-1,592186,523804,-1,802364,2404,-1,128067,586592,1248,353936,-1,515819,555964,517525,406743,480273,-1,646119,-1,487047,672866,15814,-1,616570,394071,-1,-1,198968,788334,-1,-1,108845,946781,859698,-1,519014,424467,134199,222515,256234,826816,449632,-1,936763,-1,-1,863403,-1,-1,-1,-1,242653,860346,-1,-1,402911,-1,-1,-1,-1,937754,382902,279839,-1,571321,858427,-1,248799,378122,-1,-1,431808,15437,180848,584615,32458,854010,368874,67758,996325,787550,795129,707923,738082,624966,-1,164337,869291,-1,318317,-1,250416,-1,195637,897634,465035,-1,478462,-1,278345,-1,-1,281243,276444,-1,-1,-1,432259,541716,860757,-1,151545,59068,-1,-1,-1,-1,191418,-1,385459,38661,-1,686771,725875,380361,-1,75644,742377,729555,951942,-1,-1,963996,731007,-1,278286,946832,-1,-1,-1,671490,605665,-1,-1,-1,-1,449040,-1,-1,-1,681495,-1,909718,287655,-1,39621,-1,565132,737222,-1,-1,826387,255951,95068,-1,-1,-1,-1,939057,346913,740680,-1,739641,412999,-1,-1,-1,548470,98318,-1,515750,831848,11280,-1,782728,-1,551951,610792,-1,-1,-1,-1,-1,-1,-1,50775,-1,-1,-1,-1,68155,-1,914837,-1,297401,316396,452328,-1,426953,-1,-1,398259,183808,-1,-1,583660,790939,-1,38162,39222,-1,616248,-1,-1,11422,628822,112270,-1,-1,-1,493690,157076,-1,171080,939889,-1,491494,369208,-1,-1,926189,602819,482594,343253,438694,683724,76409,-1,921399,650398,102367,220392,-1,676372,347144,405922,607480,-1,-1,-1,289523,-1,244060,563064,59793,64694,-1,306934,133761,-1,-1,727819,-1,301943,-1,-1,-1,125779,-1,-1,-1,-1,888552,664700,-1,-1,633975,-1,967806,702783,883008,-1,-1,775981,406905,-1,-1,490832,-1,-1,737762,-1,-1,930722,146514,757988,169541,-1,503902,926473,-1,403484,-1,-1,177512,-1,969900,-1,938039,-1,-1,-1,-1,-1,-1,-1,284274,-1,-1,123681,-1,-1,-1,792068,752621,-1,815988,-1,-1,595249,72466,289468,162938,565657,222345,886267,-1,73592,-1,-1,819766,-1,65684,194174,740105,-1,808121,-1,-1,2839,142021,-1,-1,48324,-1,-1,-1,-1,-1,351796,-1,-1,-1,-1,671444,162029,316554,-1,500961,-1,-1,-1,-1,-1,-1,128119,-1,-1,-1,532014,-1,986941,60619,416301,-1,171806,493300,-1,-1,-1,597314,922350,984291,-1,34053,653899,559324,999190,504033,245888,17792,-1,64971,-1,-1,324920,363824,-1,37506,210546,-1,8469,-1,-1,262303,758011,70413,256301,-1,-1,897255,-1,-1,802148,-1,-1,-1,625625,-1,-1,761377,454126,-1,694545,827013,548311,-1,-1,-1,927753,-1,794022,494819,995230,-1,-1,-1,409024,415496,-1,-1,87502,267292,-1,-1,-1,226275,-1,596805,-1,-1,971978,-1,-1,858040,-1,32256,510421,-1,-1,-1,857900,-1,-1,913460,-1,845413,235072,520240,-1,-1,474157,744893,413386,-1,-1,407124,-1,-1,-1,124613,981841,657738,942488,-1,624731,378051,185152,-1,-1,908615,-1,-1,-1,381561,-1,-1,915688,204291,-1,115132,163341,-1,-1,-1,752673,-1,504197,399827,801581,618306,-1,217289,880913,-1,-1,861312,932086,554477,981526,307284,-1,-1,242738,701352,-1,-1,-1,-1,-1,-1,611856,-1,-1,-1,779492,525,-1,264412,-1,-1,-1,-1,304098,-1,-1,640249,-1,719732,447113,137449,907908,-1,286647,-1,-1,222655,13901,-1,97703,-1,-1,867624,-1,811475,-1,189630,277104,-1,993283,-1,-1,549084,91549,-1,-1,-1,-1,469920,199035,25879,-1,-1,-1,452077,703618,646500,-1,190065,-1,-1,439302,903375,938414,-1,-1,864511,203772,-1,372224,-1,241054,-1,-1,81681,-1,-1,-1,-1,392591,644807,-1,756265,618704,-1,-1,-1,-1,-1,89655,-1,-1,-1,836293,-1,-1,-1,-1,-1,-1,-1,-1,259207,994620,859695,470683,-1,-1,-1,89004,835640,-1,71926,229079,999725,628082,848430,-1,-1,100489,-1,135993,-1,-1,114087,-1,-1,-1,-1,312677,-1,-1,150416,-1,705720,-1,-1,-1,520496,-1,-1,424040,-1,245513,28410,816034,-1,-1,-1,-1,-1,-1,467673,531990,-1,-1,547746,-1,578856,328123,325778,358769,-1,-1,-1,-1,-1,869520,41282,-1,-1,-1,659917,893982,-1,239813,-1,-1,-1,4091,207276,-1,5484,-1,-1,844951,-1,565466,-1,-1,902170,669458,345451,394078,320160,-1,-1,-1,52660,51414,903067,-1,-1,493043,920672,-1,191807,915211,-1,469690,-1,986223,410054,365034,131211,-1,-1,416921,327375,-1,484094,-1,-1,-1,-1,632242,-1,19380,551747,-1,-1,-1,-1,-1,-1,977036,-1,174842,852012,-1,-1,-1,-1,-1,134896,-1,550853,674948,-1,-1,-1,-1,265505,894061,-1,-1,-1,23454,371686,-1,64981,-1,408294,-1,934520,-1,986683,162372,838476,-1,-1,-1,-1,-1,15781,630847,493465,-1,-1,-1,-1,-1,447016,350986,-1,20468,599830,708282,337620,-1,575104,856511,560342,-1,817314,979906,-1,-1,411034,-1,672967,-1,-1,89939,-1,-1,-1,711519,-1,-1,-1,874800,-1,321929,-1,-1,116241,-1,99934,968459,-1,-1,355451,814254,246278,-1,245529,188118,34322,463940,-1,977613,531281,170585,218437,-1,645336,658822,-1,793357,57955,341985,-1,93883,451808,234386,738518,202191,-1,-1,160652,-1,-1,-1,586553,453089,-1,-1,604646,741410,-1,8657,532509,231173,-1,384471,-1,-1,-1,964743,621565,-1,-1,-1,613357,-1,116036,-1,594391,396569,165397,761749,-1,400336,-1,979672,803934,-1,770368,-1,313206,990838,-1,-1,-1,-1,-1,277554,776541,-1,455075,294027,555388,360508,-1,121865,610992,-1,446868,-1,441821,630475,51454,589265,-1,810562,359052,75681,62994,922428,320093,-1,-1,929527,742472,-1,-1,-1,110769,-1,813280,-1,450170,-1,341524,429542,-1,-1,265014,-1,-1,-1,752793,-1,801273,-1,839541,-1,-1,366351,324964,-1,83157,559194,15358,-1,311085,-1,793277,342297,348995,362666,-1,890117,-1,741129,-1,305257,-1,560077,527836,245591,-1,-1,927890,128507,540161,-1,-1,-1,-1,396300,258106,-1,373431,-1,680928,-1,828406,344814,707519,-1,-1,658273,479117,966843,-1,-1,-1,-1,526324,-1,-1,-1,724215,896916,279577,638519,-1,-1,-1,600174,-1,-1,-1,-1,431886,551446,-1,943506,771224,-1,-1,170088,-1,175133,552154,-1,-1,481900,911651,208718,-1,-1,960790,-1,-1,88054,301657,569403,149485,717972,-1,917045,-1,229009,-1,580217,-1,437148,-1,509303,-1,101,861268,-1,787027,-1,252654,-1,-1,67550,116092,828128,-1,977433,929650,496924,-1,414445,821628,-1,-1,-1,411111,-1,-1,-1,-1,-1,-1,649342,-1,-1,556205,-1,-1,384258,169008,-1,521314,-1,-1,157440,436118,-1,380743,815270,822595,197961,650478,372545,778198,-1,447933,-1,96589,103158,-1,-1,166443,-1,-1,539792,-1,-1,-1,372529,255256,-1,-1,307119,-1,-1,704076,971045,396550,460251,-1,-1,604325,162954,777005,-1,797642,655877,694044,386187,-1,-1,-1,18445,-1,124549,707021,-1,233492,126720,978556,78468,704729,538074,-1,237894,-1,-1,-1,931381,269573,-1,-1,45614,301852,981308,-1,400157,-1,-1,892410,-1,926876,148052,122761,-1,-1,-1,-1,-1,775115,98144,-1,65826,-1,-1,431708,-1,957482,-1,187315,-1,-1,-1,495680,901844,864548,187296,-1,479542,530339,217381,-1,656019,733672,-1,-1,-1,439896,-1,-1,-1,-1,-1,-1,-1,964245,119157,855127,618241,675074,-1,792806,-1,-1,-1,-1,708817,-1,522096,89534,-1,634214,744796,-1,-1,321893,537304,954234,-1,-1,-1,803563,867016,-1,-1,-1,809200,320935,359406,951774,330785,449598,-1,-1,-1,-1,-1,-1,856174,-1,-1,667868,378359,-1,972811,-1,-1,-1,232210,48901,-1,-1,458491,-1,34575,946717,-1,81716,243999,-1,-1,-1,-1,711521,-1,-1,409726,-1,-1,-1,-1,850220,824780,551274,-1,30292,533502,560732,-1,-1,-1,-1,541286,661794,706121,-1,155935,-1,-1,305794,979082,367693,386913,723281,184417,137327,-1,-1,-1,925753,-1,-1,-1,484939,-1,-1,-1,311381,-1,-1,-1,767054,-1,-1,-1,-1,445493,-1,226262,913996,-1,-1,778479,-1,52094,-1,303673,264773,711584,-1,-1,8699,869099,969905,61183,-1,936356,-1,-1,649609,-1,-1,953272,-1,215134,397269,-1,-1,200088,89562,682713,-1,364018,937315,285207,299365,852934,-1,508389,-1,-1,-1,-1,-1,-1,702529,-1,-1,-1,282624,83277,-1,-1,-1,-1,427319,214606,582613,726475,930424,218938,249443,-1,396599,-1,14017,573363,401758,-1,89687,-1,681749,-1,751001,-1,150916,-1,381059,-1,-1,-1,-1,-1,302552,-1,467818,54769,-1,911487,739858,-1,-1,762305,-1,-1,-1,-1,-1,796253,-1,-1,471888,638369,-1,886979,-1,-1,312075,-1,-1,-1,484553,-1,-1,-1,217846,-1,524815,-1,-1,-1,-1,-1,600217,382076,713913,-1,521466,246640,61682,-1,-1,781578,945664,102408,-1,-1,-1,723966,-1,-1,-1,-1,314076,427132,623934,-1,203905,-1,-1,564015,336608,180841,371066,961408,943345,-1,493992,903352,-1,245344,683658,-1,243314,-1,929075,930086,-1,771433,-1,-1,-1,-1,135078,162436,969498,346630,-1,-1,856179,-1,-1,47727,26061,-1,-1,-1,-1,-1,653856,-1,-1,866746,251013,-1,-1,510176,-1,80238,-1,-1,-1,866378,-1,970801,-1,771730,-1,641584,826870,-1,-1,-1,595,831679,402856,395497,-1,-1,-1,284950,-1,484952,-1,99072,-1,996555,62840,575847,-1,681599,-1,-1,925914,560191,285245,-1,133219,-1,143598,-1,452456,873632,37645,-1,619013,-1,-1,-1,278448,-1,-1,985849,176533,-1,-1,-1,-1,-1,560931,388856,-1,-1,-1,-1,109779,115377,412275,131393,122363,-1,-1,-1,-1,-1,504457,-1,2758,492716,-1,586205,-1,24615,-1,-1,674445,581634,279867,-1,715780,275021,-1,240537,515138,30392,-1,-1,-1,251200,765954,571308,696527,563007,-1,-1,-1,82725,894502,747752,-1,-1,-1,-1,789452,699817,572723,-1,137796,865917,165109,309327,5142,-1,846083,487415,-1,-1,33030,24648,855480,623968,166831,546311,559149,418467,201622,636681,-1,-1,-1,-1,768865,-1,-1,413043,65530,-1,287,-1,150207,742898,863985,299666,-1,368047,-1,836234,-1,-1,-1,-1,-1,-1,268339,-1,969091,789654,951020,-1,970479,-1,-1,-1,709162,582146,-1,341596,801235,777793,123534,-1,-1,-1,938551,400583,-1,600988,-1,-1,-1,885512,-1,847872,986605,27695,-1,-1,833720,113725,697821,-1,-1,-1,988633,-1,898321,336043,-1,445657,275096,-1,-1,638935,-1,478501,-1,-1,662908,221028,-1,70741,-1,-1,561481,-1,402630,-1,515924,677144,110907,718034,-1,766589,-1,-1,-1,25155,135363,-1,607615,-1,-1,-1,659089,705413,469576,838913,702944,-1,977609,-1,-1,438339,-1,300443,-1,-1,947311,-1,130994,-1,760198,616132,-1,436154,673226,163904,355280,-1,-1,779663,64926,190719,930954,-1,-1,311993,-1,-1,153263,-1,-1,-1,77865,984434,-1,-1,-1,514170,268780,890182,-1,-1,831092,-1,799603,-1,-1,286721,30351,313064,564348,-1,912857,-1,-1,622226,448199,698242,-1,207971,91150,-1,-1,261685,387521,-1,-1,879922,997257,828108,913197,412220,-1,-1,-1,191865,-1,-1,-1,701691,-1,445723,175830,113188,466825,-1,-1,-1,840310,-1,-1,-1,424634,-1,928730,-1,-1,963139,-1,370845,457385,-1,80750,-1,36038,-1,346023,-1,831885,258288,314330,201309,618445,-1,-1,732816,514158,-1,-1,347960,821741,917668,182363,554273,-1,-1,900224,-1,-1,104634,-1,92150,-1,-1,-1,160893,546616,-1,463668,715486,433053,-1,692454,761689,-1,915136,-1,-1,-1,848300,311540,279480,-1,-1,760458,567844,955507,-1,928078,-1,-1,81420,103950,619917,-1,525457,-1,-1,175752,644312,-1,123542,969109,-1,882510,-1,-1,351169,59538,874525,820199,-1,284919,35375,-1,406685,-1,-1,-1,-1,-1,-1,157525,-1,-1,-1,-1,744081,-1,-1,-1,74274,672505,77890,-1,-1,-1,-1,683178,825438,915416,759461,-1,-1,856714,202227,831270,816952,122640,353760,-1,-1,120489,-1,-1,-1,959400,126709,764628,378877,151546,-1,207771,563361,133179,-1,359882,262251,-1,997301,949626,183920,-1,182609,-1,932004,737928,-1,761967,-1,-1,-1,-1,-1,527651,-1,-1,325210,-1,-1,798794,-1,-1,342254,-1,855234,209685,-1,-1,773321,280939,-1,-1,901808,-1,352070,-1,-1,390927,69341,-1,-1,910239,577411,-1,-1,-1,-1,-1,87033,-1,-1,474134,-1,319477,5558,511178,332558,975273,173211,386299,338550,184490,224905,194501,-1,-1,-1,507377,919333,382331,243991,-1,-1,-1,-1,31054,643311,-1,428344,784662,-1,-1,181700,562794,509627,-1,-1,653755,369210,-1,906443,-1,730238,-1,690507,-1,-1,-1,904073,690020,-1,773356,228923,905178,480347,-1,-1,352865,-1,299600,423602,-1,114951,-1,346574,-1,-1,-1,-1,914327,631206,173229,-1,-1,418350,956449,-1,716383,919438,-1,349987,-1,-1,831158,628180,-1,-1,-1,257590,-1,565897,691388,480559,-1,152711,-1,-1,854165,906233,556140,393251,747010,-1,-1,-1,660653,-1,437532,855252,-1,85127,477492,-1,580216,-1,916686,639012,992446,-1,-1,361923,628278,-1,-1,481694,-1,732228,-1,-1,-1,487194,-1,903743,-1,687361,953082,473787,763309,-1,888731,562512,-1,835358,581798,862207,-1,717114,-1,-1,-1,-1,589556,595213,-1,-1,327733,626820,100732,-1,-1,-1,-1,-1,510673,-1,640732,295018,-1,-1,-1,-1,392063,49762,-1,827312,137869,-1,628216,956868,-1,356163,262576,-1,603845,513511,718374,741966,-1,-1,282617,-1,-1,948537,401088,-1,935749,20244,-1,215172,-1,183672,52682,-1,476057,54556,945460,189904,-1,-1,-1,-1,-1,-1,367570,-1,612250,35644,570778,866657,-1,-1,-1,-1,896802,754205,536977,30795,-1,-1,-1,-1,556528,950733,-1,464165,-1,-1,13777,-1,166441,408583,169291,85628,788495,-1,339293,23192,-1,969410,-1,-1,-1,955760,447935,-1,-1,-1,-1,-1,-1,919652,-1,139839,-1,408814,968189,172434,860903,-1,13818,470159,-1,556649,-1,-1,107103,505860,-1,-1,-1,-1,670997,478632,46293,86278,-1,626919,262823,-1,328719,333144,-1,603134,-1,-1,-1,210983,32450,-1,661993,-1,259267,846660,-1,-1,146698,-1,-1,-1,437167,-1,-1,711437,-1,960463,361100,208993,-1,297514,-1,369378,-1,987181,-1,-1,-1,135681,149234,-1,526540,525519,583391,-1,-1,449337,-1,-1,645998,546036,-1,861059,139148,-1,794113,905274,-1,-1,-1,-1,596638,-1,528642,189096,-1,959618,-1,17134,-1,-1,-1,297834,563684,405988,853762,649613,-1,-1,-1,-1,-1,289016,-1,249766,-1,818615,140241,311952,-1,-1,-1,249808,744058,-1,-1,-1,-1,207495,615666,-1,-1,-1,-1,559154,501913,-1,-1,-1,726382,-1,959977,352651,-1,-1,41761,747242,-1,-1,913581,-1,299124,-1,-1,-1,685933,480338,649931,-1,-1,-1,146567,358837,-1,-1,866012,982892,-1,-1,142980,477877,427749,44173,-1,951944,229309,273703,72389,-1,876858,-1,491007,-1,-1,766397,-1,-1,125932,-1,910947,409136,-1,714781,-1,291570,-1,333751,-1,507511,901146,253273,355768,241937,875892,-1,-1,119946,913970,-1,601943,104287,515341,-1,709781,-1,470039,-1,779588,-1,979142,970974,-1,304536,-1,-1,870805,-1,714805,-1,860147,-1,-1,677804,-1,32215,88610,719066,-1,467369,571909,317801,-1,187082,-1,652749,842283,-1,315431,304935,-1,730142,563383,199872,-1,-1,-1,66746,-1,499638,962262,973002,-1,-1,165535,-1,618498,168316,773083,167197,-1,565446,518864,396531,-1,662317,502026,821042,-1,539986,179597,930469,-1,-1,-1,-1,-1,-1,833131,-1,171005,818651,519517,-1,-1,964026,-1,-1,-1,849552,-1,894920,-1,-1,-1,249628,207950,-1,339962,-1,779888,769756,-1,41014,-1,-1,-1,-1,-1,-1,278368,826262,204332,-1,-1,321547,-1,453801,-1,-1,506867,198184,759218,-1,353438,-1,888046,155730,-1,698884,833919,155200,696642,190004,-1,-1,389196,-1,395003,560109,859940,-1,651873,-1,773971,-1,-1,371814,-1,287414,-1,-1,345553,-1,205119,926981,311757,545143,-1,541417,96100,-1,637797,113740,-1,-1,467042,-1,309006,-1,-1,-1,-1,921104,972498,722607,193516,211423,64464,-1,674772,-1,495733,-1,738298,-1,-1,378764,-1,53556,-1,-1,-1,-1,-1,842570,946267,-1,-1,79958,665666,-1,-1,-1,561230,-1,-1,-1,-1,13942,-1,-1,723642,582826,-1,865363,-1,-1,166833,-1,-1,-1,-1,-1,743244,-1,540317,-1,-1,-1,-1,-1,111926,215063,548695,-1,589911,-1,762943,-1,780514,389288,656566,-1,162435,3657,-1,-1,-1,167002,-1,-1,271229,-1,-1,-1,524746,167864,-1,-1,-1,-1,78232,-1,524840,-1,377798,37509,312708,-1,671125,-1,-1,-1,-1,-1,196692,-1,-1,68783,314332,385700,593329,-1,195316,-1,-1,-1,503,253028,77349,852422,892788,97342,705157,654848,182514,345714,-1,916062,-1,-1,-1,-1,-1,-1,-1,540732,39045,583511,858898,-1,176935,199192,-1,552000,576591,450781,320396,-1,651684,400592,-1,561889,779981,-1,-1,610966,-1,220499,-1,208850,-1,-1,-1,-1,937381,-1,-1,-1,275619,-1,978175,551647,182280,348380,103673,-1,215890,601326,954331,-1,722110,116452,-1,-1,472445,680482,227547,-1,417223,565249,-1,-1,-1,-1,196197,277659,397743,308338,-1,766457,159068,-1,895325,-1,560444,-1,-1,97371,692628,804780,-1,-1,603378,-1,-1,159821,151654,-1,-1,933815,-1,-1,511208,935033,182664,485546,-1,-1,-1,-1,-1,473989,-1,-1,-1,-1,-1,64925,-1,-1,468199,-1,-1,-1,-1,224108,373020,415671,734850,-1,36864,-1,-1,876310,-1,-1,411012,640142,-1,-1,795048,-1,-1,-1,-1,149800,-1,347513,-1,-1,119883,-1,-1,873123,-1,492183,430325,251109,-1,-1,982486,494841,552824,253656,864469,911584,26725,-1,294849,810557,-1,5994,982372,786844,73423,-1,380310,-1,629956,266639,899761,291472,-1,-1,-1,-1,-1,-1,-1,-1,717569,-1,-1,653733,-1,-1,819447,-1,-1,-1,698940,-1,67364,130054,745029,-1,-1,-1,264956,-1,-1,176536,96000,-1,858318,31367,-1,974675,-1,-1,-1,693516,644615,551492,-1,779641,768521,-1,-1,227263,-1,-1,546555,837999,-1,-1,965441,-1,-1,-1,-1,-1,-1,-1,-1,930900,150482,316433,-1,-1,-1,118300,-1,-1,-1,-1,901635,725719,544416,433190,747180,185690,-1,-1,540384,-1,713951,-1,-1,-1,-1,-1,846833,118621,-1,-1,-1,782703,536179,537904,-1,853567,-1,605970,943552,-1,-1,314893,-1,-1,950963,-1,846008,-1,-1,860176,18820,978218,32235,87896,-1,777980,-1,286732,-1,249143,-1,-1,-1,-1,876710,-1,-1,-1,-1,-1,746208,929145,902422,-1,474466,669287,-1,-1,867045,138811,48049,20095,-1,682735,66877,663020,-1,-1,334546,223612,-1,36828,-1,-1,293678,385365,-1,-1,451184,-1,-1,-1,14215,-1,479453,-1,-1,142462,-1,767210,-1,19700,408997,-1,952184,-1,153769,-1,133240,-1,610453,-1,334248,-1,-1,-1,-1,775930,-1,-1,-1,-1,-1,-1,364669,-1,-1,-1,322901,871249,-1,535207,795426,266799,-1,-1,827785,-1,714415,-1,-1,73991,-1,652418,485659,770034,-1,-1,767106,985115,-1,346669,83685,629904,246293,955425,-1,-1,292792,819546,-1,-1,-1,-1,-1,897531,751592,-1,-1,523905,75907,452551,510665,-1,-1,805569,341685,616866,-1,920996,-1,693494,991065,-1,-1,-1,-1,-1,-1,-1,156616,-1,-1,662204,611872,614187,203931,473462,-1,762112,330348,-1,-1,276965,-1,-1,-1,-1,-1,-1,-1,-1,-1,926253,-1,-1,-1,509119,740225,-1,-1,515544,-1,-1,-1,554198,963041,-1,-1,91101,-1,-1,-1,298255,569249,-1,-1,81234,332618,170024,407001,-1,-1,-1,-1,-1,208077,-1,394403,-1,101374,-1,-1,156710,963913,-1,-1,556684,372885,-1,-1,-1,-1,-1,-1,684615,-1,-1,807809,-1,347881,985595,-1,-1,-1,-1,821263,557821,-1,-1,-1,-1,-1,-1,48756,531803,-1,349993,-1,-1,-1,-1,-1,266047,216803,314093,423762,-1,-1,73,-1,798774,-1,-1,754360,-1,416810,-1,356664,526866,-1,-1,-1,-1,-1,291579,332243,88009,460585,-1,-1,-1,-1,-1,-1,456337,-1,186938,485515,485916,316629,116489,84133,888881,-1,-1,259917,903461,-1,-1,203479,326572,79113,399955,302077,511517,-1,745809,874974,944132,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,457438,928924,-1,345104,864336,730115,-1,-1,878555,-1,-1,-1,731448,-1,632097,-1,-1,460569,220967,-1,-1,-1,-1,-1,-1,814672,537155,-1,558485,-1,72112,501570,716598,909693,-1,-1,-1,457161,-1,823550,-1,381413,67336,-1,-1,655825,-1,-1,345341,943905,-1,94624,600150,509462,476177,280605,890631,303047,910158,194356,-1,976699,-1,953241,-1,114587,634186,951972,48210,-1,-1,-1,-1,736646,-1,345604,940729,481622,451933,611529,-1,-1,-1,-1,-1,480139,-1,-1,-1,665745,181225,-1,26870,885195,693691,-1,-1,-1,191717,253860,-1,-1,-1,927535,446812,-1,-1,486297,-1,632681,668274,707009,-1,32812,-1,708788,-1,-1,808827,164170,-1,-1,209832,428253,-1,271716,125100,725795,952243,-1,272918,-1,-1,604231,-1,220543,-1,-1,162496,83791,-1,213589,359625,-1,501973,19343,-1,-1,-1,-1,814648,870507,834715,838635,-1,-1,54011,167911,-1,728052,-1,-1,807248,500238,100612,-1,804841,-1,-1,385934,36422,117501,-1,-1,-1,-1,-1,-1,648071,-1,320964,-1,-1,192924,991912,240003,17958,565177,-1,-1,130464,-1,115317,214306,838969,701388,808767,868317,975961,675253,-1,-1,118881,-1,-1,-1,50370,361526,976743,-1,649341,-1,-1,-1,-1,67524,-1,518251,-1,-1,-1,-1,-1,-1,496817,-1,751623,-1,898720,145417,12201,-1,-1,317540,823505,-1,-1,601331,704931,-1,-1,218840,506796,-1,836542,908774,190313,-1,993327,-1,-1,674490,-1,635161,985391,-1,187826,102072,-1,-1,-1,-1,946621,870663,280664,-1,482459,947809,-1,619061,-1,-1,79598,916054,865939,43988,252523,-1,-1,364768,-1,479032,-1,331931,568982,521542,348199,271305,-1,584618,977758,-1,522425,577682,490031,-1,-1,813119,895869,582683,-1,541533,-1,273101,-1,716603,-1,-1,-1,-1,-1,119785,636407,280815,-1,817757,499405,109937,16546,203330,539520,376785,560951,856969,-1,310003,720097,905749,869675,-1,62936,-1,-1,644602,491913,-1,179772,775726,108220,740280,358754,59990,78813,-1,-1,43760,54654,644892,-1,175580,-1,-1,-1,-1,-1,95385,307957,-1,963182,-1,-1,-1,14051,-1,863694,198641,-1,-1,82380,-1,741482,463412,806373,-1,355319,-1,90642,-1,529602,96643,-1,-1,373459,-1,-1,48226,12105,-1,847313,198649,514167,-1,434045,697683,-1,807851,-1,939062,-1,861881,-1,678191,104378,108029,-1,-1,-1,-1,-1,302375,-1,360357,-1,-1,-1,-1,999324,260255,723329,-1,191906,-1,-1,-1,812248,-1,775920,-1,-1,-1,626585,214072,95771,689955,544403,464509,132703,-1,586099,780270,-1,365548,440248,-1,-1,-1,-1,716157,479268,-1,-1,-1,-1,-1,-1,699288,-1,-1,709797,-1,-1,481322,777096,-1,-1,-1,446747,547714,438922,-1,-1,625671,-1,-1,-1,-1,717333,-1,-1,-1,65054,107304,104270,-1,649745,203971,-1,-1,779739,170891,-1,69404,-1,-1,-1,952651,393345,672791,-1,580658,929229,-1,-1,-1,-1,216999,-1,-1,-1,661034,215643,859966,-1,130250,-1,334039,-1,-1,278253,662969,668911,622236,-1,-1,140175,450301,-1,751986,428418,-1,-1,736550,900110,342005,-1,-1,526791,-1,506920,-1,-1,-1,186473,-1,439204,603641,-1,-1,-1,343851,936194,-1,-1,866228,950183,-1,-1,-1,-1,215171,-1,810495,-1,696737,305562,799955,-1,600397,-1,547027,651563,-1,18290,-1,-1,-1,522970,-1,-1,444914,417386,-1,-1,277923,703730,203312,-1,-1,-1,-1,940145,536419,-1,816787,124702,85081,91774,629227,766182,-1,839076,501133,-1,-1,864974,189768,170907,168503,-1,-1,-1,-1,656907,14959,-1,-1,577965,-1,-1,-1,-1,-1,226592,-1,-1,-1,-1,-1,-1,-1,504936,-1,-1,-1,-1,970768,-1,25966,726410,862599,402093,738434,600370,470399,659394,701020,-1,857259,-1,842862,319678,523306,379271,-1,-1,-1,260128,-1,950221,-1,37130,603653,138028,-1,-1,-1,-1,370426,-1,680498,-1,75108,893885,-1,-1,-1,325395,10579,54558,-1,750939,674289,-1,-1,-1,880299,776415,461107,-1,27023,994718,-1,-1,-1,447704,-1,410651,429047,172006,-1,224536,724660,-1,-1,745929,-1,988988,649015,-1,82453,-1,798236,-1,-1,-1,-1,263536,510525,-1,-1,-1,-1,-1,979709,-1,345832,-1,772985,166034,-1,731434,-1,286317,-1,-1,526079,-1,-1,64179,-1,-1,413755,-1,-1,-1,544920,343400,-1,129065,-1,889410,74179,545199,-1,-1,626190,23667,-1,-1,-1,-1,-1,76439,907964,179875,-1,498006,-1,-1,-1,-1,-1,-1,-1,2412,338577,643662,818950,624493,-1,-1,-1,648786,-1,247720,506976,442231,-1,7849,-1,-1,544903,-1,-1,-1,87922,-1,-1,645305,615392,-1,-1,347338,824400,-1,-1,-1,-1,640030,-1,-1,-1,657388,-1,-1,3808,-1,493101,-1,-1,-1,-1,68153,-1,138827,-1,-1,835102,-1,-1,647105,620773,134526,-1,-1,-1,55283,653602,-1,283924,75634,271935,-1,801576,-1,239182,716438,461513,720617,-1,376023,563101,548809,311961,-1,-1,770742,-1,337189,-1,694174,-1,-1,-1,707516,-1,948688,-1,-1,-1,-1,519862,-1,116963,668510,-1,897162,-1,-1,496246,488103,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,603467,-1,794328,-1,-1,655660,-1,329977,923196,81362,-1,710525,-1,161269,-1,-1,-1,-1,52919,-1,934610,-1,-1,419397,971810,621626,455090,932779,821786,789706,-1,-1,392646,841123,-1,-1,-1,-1,30739,394198,-1,-1,-1,-1,-1,-1,734303,676576,809190,-1,538272,918295,-1,-1,898334,-1,-1,684570,-1,-1,2550,542815,-1,-1,324990,-1,55443,318577,552372,133228,842546,311794,347300,-1,-1,764951,862087,-1,-1,-1,-1,607592,-1,885364,988574,-1,125543,-1,-1,-1,795148,-1,556168,-1,383221,-1,-1,915670,701590,792509,221294,102201,-1,-1,88223,-1,-1,449013,-1,-1,-1,537765,-1,-1,-1,-1,-1,376254,233719,-1,-1,810741,-1,174624,357300,-1,739045,-1,-1,-1,-1,-1,734506,-1,-1,119858,-1,563587,151869,-1,-1,844346,839406,675168,-1,12808,360572,653711,899791,15112,-1,493726,-1,-1,728599,451129,560235,-1,92212,998958,14691,93030,-1,985110,-1,-1,138626,572721,783503,-1,-1,198488,-1,-1,106849,42157,-1,313697,724305,-1,-1,-1,-1,873984,-1,543525,139442,-1,-1,771369,-1,-1,-1,-1,-1,709748,804991,-1,463614,-1,-1,-1,980333,-1,850062,843163,-1,-1,-1,-1,-1,-1,-1,179030,-1,935813,-1,-1,586541,678128,59366,201682,-1,-1,190246,635368,96486,-1,-1,-1,444700,-1,-1,-1,-1,-1,-1,-1,-1,-1,982088,-1,-1,96983,858721,167781,530870,640514,-1,-1,339336,-1,12340,103069,490132,-1,356301,737130,-1,632322,887925,-1,-1,672032,-1,-1,-1,877118,259124,-1,-1,676493,-1,451614,-1,714629,99121,638605,879799,433581,-1,-1,761927,167650,-1,-1,-1,192961,-1,-1,673745,-1,912437,-1,-1,413740,856770,195,-1,-1,-1,209115,-1,529103,994504,-1,-1,-1,-1,106584,-1,-1,762941,328089,-1,239713,202073,423512,759268,239852,-1,391191,209279,93279,194395,110808,-1,-1,519771,834316,614930,301605,-1,-1,-1,-1,-1,-1,810352,406497,-1,-1,-1,777439,-1,-1,-1,3074,-1,588567,337925,735968,626700,-1,184977,326600,395512,-1,-1,133901,432448,253877,203732,15481,-1,832276,350259,766586,-1,-1,-1,-1,-1,133731,404987,-1,972111,-1,-1,-1,-1,-1,-1,299923,-1,299507,733169,-1,-1,845620,-1,-1,428064,-1,-1,401742,926332,240152,-1,-1,966753,-1,-1,804158,-1,-1,-1,-1,-1,682384,852890,838985,-1,-1,278321,782733,-1,251057,340554,-1,851754,734933,-1,524046,321343,607925,-1,827874,653053,-1,-1,309799,644251,-1,-1,93238,715332,306734,-1,553473,486769,274741,717696,896396,-1,-1,-1,859574,-1,-1,168413,564479,-1,-1,716032,-1,-1,-1,903867,-1,-1,557695,-1,857903,688889,642305,-1,557973,520231,-1,-1,-1,131943,-1,49255,-1,733793,-1,721902,-1,301723,-1,-1,-1,472914,20962,873467,899010,172620,481835,850801,-1,-1,478361,384310,-1,622084,-1,-1,-1,-1,-1,656820,43057,754020,845219,357212,775588,-1,-1,486712,19062,74431,-1,-1,-1,-1,972039,-1,-1,38974,-1,988718,-1,-1,-1,705339,-1,499094,468135,-1,-1,280375,411344,-1,534997,-1,-1,-1,377122,80057,-1,473054,419317,467161,-1,-1,-1,98378,-1,794621,779762,696639,580860,-1,-1,-1,-1,960606,-1,-1,-1,795371,-1,603221,-1,99857,-1,-1,513831,254644,-1,456497,835362,21711,-1,198943,-1,191060,178980,-1,41642,368209,656041,461777,640576,-1,-1,-1,-1,-1,418390,-1,-1,500248,-1,-1,21461,846560,904970,-1,-1,-1,-1,-1,5972,-1,847287,-1,59979,262644,416377,-1,-1,-1,-1,212946,243148,-1,525476,-1,877992,-1,-1,364022,715689,613376,-1,-1,-1,624716,878962,936694,-1,-1,-1,155380,228167,643710,-1,817558,401688,-1,720171,96685,-1,590181,-1,-1,-1,-1,202722,-1,-1,941082,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,173946,-1,-1,-1,-1,-1,-1,738633,74929,281914,945533,-1,861557,-1,814189,-1,308331,-1,723075,-1,-1,-1,-1,-1,724149,634450,-1,355716,-1,913913,36274,111023,-1,334291,931445,-1,654666,2644,-1,-1,-1,296006,-1,612217,789827,135845,450909,-1,868567,-1,-1,25235,-1,865484,-1,374181,675940,-1,-1,963441,-1,890486,-1,-1,-1,895919,-1,-1,737132,-1,573201,394711,377381,-1,-1,476913,-1,289194,666187,-1,-1,235395,607076,-1,-1,-1,-1,495703,474799,-1,247787,-1,-1,-1,310045,425371,-1,457714,-1,239939,544176,-1,-1,208900,-1,510136,360985,-1,-1,-1,-1,134954,-1,-1,-1,833056,-1,157818,52914,76701,-1,-1,-1,-1,309939,-1,-1,-1,392741,711578,917290,-1,-1,641076,-1,-1,-1,926601,173062,-1,-1,210578,667444,-1,940974,251497,381024,372800,279164,-1,-1,-1,-1,-1,-1,-1,-1,421455,-1,522452,-1,208966,-1,-1,-1,-1,-1,-1,241324,-1,566292,-1,101542,725277,-1,790834,991024,-1,-1,-1,630909,43472,536965,-1,279269,-1,-1,-1,-1,501536,240430,-1,551145,726198,-1,-1,5554,799914,-1,-1,-1,879155,-1,-1,697386,638000,111473,3510,-1,-1,-1,-1,-1,967321,795387,209622,916625,-1,-1,43380,851418,-1,-1,-1,425961,449567,-1,-1,-1,952992,310995,589261,-1,686246,636277,147742,390989,-1,-1,-1,-1,974924,998978,732136,772847,-1,-1,930299,-1,-1,582560,-1,409462,819063,570249,433727,806717,-1,-1,-1,707602,600924,45030,371633,-1,-1,300813,201833,-1,-1,560397,-1,411929,542947,-1,-1,-1,-1,575273,359444,-1,-1,-1,-1,274985,-1,710280,-1,-1,-1,-1,119543,90759,357378,977485,271869,-1,504068,786910,713976,-1,-1,-1,971456,-1,-1,56413,-1,488224,864152,53241,-1,829202,-1,-1,-1,-1,-1,400896,-1,636843,-1,-1,-1,487320,161296,-1,-1,-1,437824,609732,-1,-1,-1,-1,-1,669233,-1,-1,-1,925497,-1,701559,-1,-1,-1,563454,388395,-1,-1,786512,365614,399942,-1,-1,221555,677518,-1,-1,-1,8999,68537,-1,-1,-1,336636,-1,495893,-1,-1,-1,-1,-1,-1,788213,-1,788628,-1,-1,989724,774870,873606,864159,299875,-1,-1,-1,-1,792333,656977,178977,103226,610123,-1,837117,69894,268572,8086,-1,-1,-1,-1,709428,-1,238043,-1,122192,244896,815256,29305,41304,-1,-1,991401,-1,-1,-1,412662,-1,911162,276614,539758,-1,-1,270004,-1,-1,-1,479618,-1,379662,-1,-1,167687,10618,-1,811064,324546,-1,-1,-1,886550,340220,-1,971149,-1,-1,-1,-1,-1,455754,-1,741436,128033,306756,953717,-1,-1,968866,483312,676155,-1,844347,543800,707814,462657,-1,-1,924692,-1,520101,-1,940981,-1,422228,-1,-1,127409,878504,-1,234294,-1,98413,-1,-1,-1,-1,-1,-1,-1,501193,-1,-1,470281,20637,576417,704592,589732,-1,-1,130860,507647,-1,765609,331035,-1,24900,-1,-1,997483,-1,-1,57481,205783,549726,-1,-1,237927,925,501797,918175,-1,522888,627242,-1,-1,-1,-1,-1,814039,607802,806264,594260,-1,-1,-1,573889,-1,-1,295790,945412,306680,-1,-1,-1,213698,-1,-1,191986,-1,31709,-1,604044,-1,-1,562958,-1,598871,350288,-1,71619,893758,-1,330300,173454,-1,-1,-1,-1,-1,446196,-1,28025,916042,-1,959825,857313,439598,-1,46359,738064,671363,485290,-1,26167,181096,92130,56572,-1,780874,-1,518335,-1,-1,-1,568223,197357,746720,842917,24089,182319,-1,-1,759907,-1,-1,68568,982776,15625,565949,427887,-1,53651,-1,-1,-1,908803,-1,-1,-1,315461,-1,590753,576194,-1,584491,307411,754626,-1,-1,606854,171754,21882,783594,-1,423232,-1,56440,-1,-1,-1,-1,528192,654004,115293,-1,-1,725747,-1,645964,-1,937039,-1,174282,285205,97428,757428,710869,-1,215824,347474,684451,451954,332875,-1,-1,634883,-1,20019,-1,-1,438456,71854,799114,-1,472958,-1,-1,-1,415759,-1,-1,39074,144136,779774,-1,-1,-1,-1,923059,-1,-1,737913,665858,609399,-1,-1,-1,257314,-1,-1,-1,253861,-1,983792,439082,-1,-1,-1,88200,-1,-1,23686,-1,-1,850786,-1,332209,439824,131660,-1,-1,-1,979957,920024,-1,-1,449168,-1,666223,-1,240882,-1,129177,736216,-1,-1,-1,354676,560641,826963,-1,263149,107621,823336,556733,166893,-1,-1,-1,-1,-1,184420,-1,152220,-1,-1,216513,-1,749312,579613,-1,-1,-1,995889,-1,-1,514502,871472,111755,644345,94165,-1,-1,297481,-1,806171,88919,-1,-1,687859,-1,-1,770306,-1,499189,135623,398234,-1,-1,-1,107631,631478,-1,-1,-1,944635,833089,-1,64847,-1,721802,-1,-1,668020,-1,-1,385412,-1,446285,138503,-1,-1,-1,246170,182632,341064,-1,-1,659813,615274,-1,-1,-1,58991,-1,-1,-1,453599,248546,530016,-1,-1,643759,-1,385288,-1,99874,-1,-1,-1,-1,-1,-1,-1,-1,971970,34220,807514,656821,113737,-1,736401,-1,-1,40507,185869,473376,235638,-1,-1,75265,-1,-1,267237,830819,351990,457587,-1,-1,-1,-1,145002,-1,644466,-1,-1,-1,450675,478397,909383,127454,-1,868418,-1,-1,-1,-1,-1,834763,-1,-1,720738,-1,-1,442100,400301,-1,-1,-1,761788,-1,-1,-1,-1,333373,10282,-1,-1,-1,-1,695285,48003,-1,-1,-1,-1,-1,263951,-1,-1,703593,734000,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,546466,618463,983291,236064,43116,-1,33852,464345,-1,855125,-1,-1,-1,362488,183239,-1,66501,-1,129809,-1,-1,-1,492053,12544,-1,488148,614580,303739,845934,458666,-1,-1,-1,-1,-1,-1,-1,500489,-1,-1,52939,-1,835512,135991,-1,-1,-1,696596,903387,-1,384199,334471,956363,-1,569243,731315,-1,-1,-1,-1,883009,-1,-1,436684,-1,-1,-1,922934,677041,777172,298902,307101,-1,-1,740299,-1,-1,-1,-1,841072,661991,-1,795880,-1,-1,575129,-1,179911,344585,29709,-1,-1,197540,702098,696635,565796,-1,102436,-1,-1,-1,-1,772781,721465,-1,860031,-1,745134,-1,134890,-1,148529,754164,-1,750443,896207,-1,-1,205568,263242,490879,622066,-1,-1,-1,-1,-1,-1,188848,61662,-1,709208,-1,305300,262323,905846,361570,-1,926465,-1,147688,227444,-1,464415,-1,-1,589771,-1,-1,-1,676474,-1,299849,944889,-1,-1,478788,521821,-1,191589,-1,63633,75295,-1,-1,-1,167610,-1,-1,-1,-1,685688,-1,967056,-1,131188,-1,-1,712864,-1,-1,-1,-1,845965,706927,-1,324357,885768,-1,-1,-1,-1,-1,646542,-1,-1,-1,-1,-1,-1,-1,365024,50566,38410,430417,-1,-1,-1,39543,95368,315678,-1,431166,329933,878157,352497,18723,423550,-1,355375,-1,-1,373574,805464,-1,-1,171612,573694,-1,-1,287719,-1,201430,-1,-1,-1,506884,716285,308551,-1,-1,942224,562898,-1,844246,219183,-1,230928,658651,-1,-1,278543,782649,-1,-1,122088,609040,65069,933775,-1,-1,107724,522473,-1,118834,539417,854837,-1,706766,486207,-1,-1,145025,467275,450977,951189,-1,-1,-1,-1,716009,-1,438063,-1,-1,-1,797052,728982,648193,645170,-1,172200,-1,-1,-1,18212,732986,787797,293255,-1,-1,-1,-1,838703,392851,333624,275185,512135,-1,266223,654886,-1,-1,-1,165166,-1,-1,-1,-1,-1,553153,669561,-1,743159,141881,-1,-1,-1,-1,696475,63868,-1,787093,117009,15780,-1,15488,-1,866424,988355,-1,-1,958111,611900,780924,212857,-1,5044,-1,380905,-1,204490,-1,-1,893451,-1,963853,-1,154981,195719,153601,-1,544233,-1,195436,652031,904812,-1,610804,839831,-1,329322,778516,662229,-1,427521,-1,576333,343160,-1,-1,-1,502004,662050,-1,536604,-1,415577,-1,685428,-1,-1,692982,831739,584598,994114,71042,697709,787474,857665,-1,161663,771231,-1,851024,282111,-1,-1,-1,975508,-1,-1,-1,-1,-1,84150,94889,692047,722486,-1,-1,-1,494824,505098,809230,550560,-1,-1,-1,-1,-1,-1,422366,961479,-1,-1,695579,587443,460475,734608,821884,-1,535137,812404,921288,404280,-1,222531,652723,-1,-1,912485,-1,692564,-1,-1,794813,-1,865867,363437,231636,993498,497679,269742,396236,-1,-1,997572,-1,-1,-1,596409,307183,-1,727535,812849,581506,401752,-1,476042,-1,693393,803129,554265,835668,414106,445762,969698,696207,-1,869374,258214,-1,898568,-1,-1,188832,-1,-1,-1,631520,732115,187928,29920,-1,814374,560230,698615,-1,284500,419606,-1,-1,-1,410947,702448,79785,820829,-1,-1,-1,56701,-1,888402,184916,-1,-1,581977,-1,218814,718762,-1,-1,-1,130749,641164,-1,-1,219458,833298,255468,-1,492723,439030,-1,42517,98187,-1,-1,406384,316839,610959,-1,-1,476087,809720,-1,199395,-1,612925,218042,134521,-1,325511,-1,513021,-1,714066,473756,-1,-1,57051,697826,679221,556657,338188,490802,747990,457810,-1,-1,321597,1053,-1,67348,-1,342695,118467,-1,134683,707999,768141,790540,29849,114075,-1,-1,428916,-1,680471,-1,687671,-1,-1,724763,790991,375157,-1,362206,815031,-1,-1,-1,-1,-1,-1,115807,-1,368124,661622,-1,428389,-1,-1,-1,-1,-1,-1,194660,-1,589048,-1,-1,-1,412354,-1,-1,498345,747544,201240,-1,305807,-1,-1,-1,454001,-1,611040,-1,-1,939374,496622,-1,548760,802052,-1,-1,-1,264391,-1,447579,165414,734705,136017,-1,695786,628624,519488,-1,-1,-1,-1,97984,-1,284563,474674,642468,470142,854490,-1,803586,67947,568199,-1,-1,-1,749273,615991,-1,133704,637829,117892,-1,-1,663274,-1,-1,940533,-1,666757,-1,366889,-1,-1,481931,959416,-1,560525,556365,560160,886871,297438,84499,-1,103737,-1,-1,584839,-1,-1,155963,277091,-1,-1,490275,-1,737845,821229,-1,668991,-1,124414,247845,311177,-1,87862,-1,-1,-1,265402,-1,861451,76118,-1,-1,27517,-1,651503,104587,-1,69144,784597,533775,548309,-1,-1,810913,-1,818765,-1,-1,-1,-1,635513,433428,-1,-1,79373,895190,468368,-1,-1,842788,-1,-1,-1,292821,-1,289981,-1,177480,-1,-1,835990,609648,783572,-1,-1,-1,-1,-1,-1,-1,-1,-1,412490,-1,395371,156561,-1,427297,-1,358501,875682,-1,-1,-1,-1,329780,-1,-1,-1,105812,638974,-1,604402,411748,788252,-1,402388,-1,-1,-1,-1,4104,-1,324857,604223,-1,785618,240893,149307,205008,205068,-1,611972,549248,-1,-1,7651,-1,-1,312371,-1,121652,247517,903428,-1,871627,568908,247699,507496,271548,-1,-1,864303,735380,425368,843950,973160,604653,-1,-1,976144,70648,-1,796725,697215,-1,-1,837217,552133,-1,-1,68070,-1,-1,-1,792816,74927,540257,796438,-1,524524,-1,-1,-1,-1,344108,-1,907992,218259,-1,-1,-1,240358,-1,544688,165650,435433,-1,-1,353918,994169,241977,162867,-1,603,-1,312551,-1,108906,-1,731155,-1,2427,542499,-1,780110,-1,-1,-1,976387,800731,-1,586456,-1,-1,-1,388070,195520,958768,329683,-1,869012,-1,659956,29783,93458,375775,56611,-1,367884,-1,950620,-1,-1,185389,759327,411667,-1,107368,74604,692225,-1,946646,357781,-1,86775,-1,468470,-1,792577,-1,-1,173099,459555,315010,736427,-1,-1,6446,-1,-1,956985,-1,-1,-1,37755,899165,53483,796860,-1,-1,986248,148160,910553,-1,550058,602358,98154,-1,-1,139800,580338,137661,-1,-1,-1,393316,788351,806642,70019,313146,-1,293413,-1,-1,126194,-1,-1,397761,-1,12403,344467,676786,-1,-1,-1,-1,891562,126031,-1,-1,-1,145669,-1,105339,136637,862758,-1,-1,235939,590248,-1,876507,-1,962352,897983,807577,549821,-1,-1,969021,135488,571868,424158,542405,-1,-1,708869,403136,69881,-1,-1,81440,-1,-1,881661,312620,167033,780241,-1,-1,810876,-1,838263,169320,440026,15293,-1,877929,971859,-1,-1,-1,975243,-1,-1,-1,-1,-1,114244,506787,640330,903982,180463,659214,113871,428233,714461,171914,676813,236542,-1,-1,366196,787203,-1,-1,194318,-1,38627,413051,-1,-1,-1,926326,-1,389244,-1,-1,-1,245826,-1,408952,-1,625657,333217,-1,-1,226267,-1,48550,818951,-1,354031,503183,-1,648052,443222,748910,196758,511636,621184,-1,-1,-1,-1,123142,-1,941841,-1,383784,90063,899692,162292,-1,204650,13483,513502,491594,-1,493527,501157,832116,785515,-1,563699,-1,-1,-1,-1,304473,140404,-1,583626,859403,-1,198770,820331,-1,792163,-1,944359,-1,-1,507240,-1,980919,-1,-1,-1,-1,-1,188000,-1,122582,-1,-1,41629,465872,-1,770620,-1,-1,-1,-1,603355,-1,967611,171553,869309,812993,-1,-1,-1,277189,-1,-1,-1,-1,698798,566884,-1,-1,472803,75451,-1,-1,931091,692916,-1,-1,-1,419908,269024,343364,-1,938263,-1,935218,321638,838358,757227,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,364548,309181,890203,-1,188225,92565,598931,646366,-1,-1,-1,-1,242109,769897,-1,854575,244297,-1,-1,698425,-1,721056,899708,85444,811765,-1,877466,-1,-1,-1,-1,840216,483505,-1,307982,-1,473601,-1,-1,153947,676075,662777,55301,493695,-1,349299,94455,-1,-1,509814,153369,-1,-1,590824,556271,-1,973708,-1,1651,-1,-1,663769,-1,-1,-1,413383,810602,359443,657918,483212,481650,-1,847742,-1,-1,847119,-1,39475,-1,-1,-1,249344,-1,741344,246844,23260,208641,-1,624463,132761,267750,31019,591746,-1,47837,425665,608091,28490,-1,69124,-1,-1,-1,-1,-1,-1,-1,799689,263255,470413,328672,-1,-1,-1,-1,707547,871941,-1,142304,35003,-1,-1,-1,684751,-1,704655,219954,-1,-1,-1,44061,355715,-1,-1,-1,670010,-1,611418,-1,701414,-1,-1,-1,-1,776973,592412,179286,-1,69393,-1,-1,-1,532978,795017,956967,429138,-1,689742,-1,-1,-1,481753,593468,890284,652825,-1,-1,566274,660484,-1,-1,-1,-1,-1,-1,218667,189009,174650,528777,224330,368861,-1,768303,-1,454498,-1,569773,-1,-1,163400,-1,490341,405362,524618,134534,25151,285334,824159,876778,773654,-1,-1,-1,180040,-1,622213,-1,-1,-1,213729,-1,-1,-1,914236,-1,-1,648955,525780,116157,973956,-1,-1,-1,72846,258389,-1,-1,551914,-1,-1,-1,-1,-1,-1,602053,-1,-1,-1,-1,711494,-1,-1,-1,-1,185165,974505,428050,65980,20739,598805,-1,565602,-1,-1,667471,-1,878540,-1,150503,-1,-1,494142,306314,568924,870027,-1,-1,-1,792475,102996,-1,946351,391317,278350,-1,348338,483601,468610,-1,-1,418407,653087,-1,-1,-1,594932,390274,-1,926588,-1,813861,501573,-1,-1,-1,360019,-1,-1,-1,-1,-1,-1,-1,-1,-1,337410,-1,708502,863599,941915,-1,217437,-1,831713,624234,-1,826304,317742,-1,-1,816582,988810,-1,674249,194988,-1,190608,-1,-1,131021,-1,681227,348174,514917,565322,214922,297947,462442,943662,468447,32080,-1,300289,887579,329141,-1,-1,-1,-1,287909,234362,-1,-1,766631,896895,-1,-1,589762,916523,-1,559055,216130,387951,720836,-1,-1,9148,174932,514907,-1,-1,-1,-1,630701,604455,382469,300414,437997,-1,-1,-1,643140,-1,919714,742946,984044,28317,-1,551763,-1,361644,23691,94548,149292,-1,581313,666146,657000,548702,907402,327623,-1,85593,-1,563602,-1,-1,-1,356533,-1,940876,-1,212261,-1,167346,704384,-1,12402,678115,501225,33856,-1,-1,4808,-1,123070,-1,-1,-1,-1,405671,-1,-1,-1,-1,671702,605942,-1,441746,711330,-1,-1,373343,669371,-1,870776,247176,330433,-1,-1,-1,-1,-1,-1,78640,847935,256109,-1,837078,-1,-1,9341,-1,248909,351624,27336,-1,-1,696296,-1,889520,-1,51221,-1,-1,564371,688043,192481,688982,-1,303990,-1,527903,-1,-1,308797,-1,595613,-1,696988,-1,-1,604522,312928,-1,399307,-1,379644,390971,753229,-1,-1,732649,-1,-1,-1,-1,704703,-1,377637,762663,-1,632861,-1,-1,596775,704665,-1,-1,-1,661113,806009,413165,688118,-1,120730,-1,-1,397300,-1,807492,-1,281036,537913,-1,-1,151661,878156,-1,-1,671223,-1,880314,981624,129202,202061,801077,-1,-1,868420,-1,758853,-1,-1,-1,745388,-1,618316,-1,467046,68429,-1,955306,-1,50066,817683,-1,269730,-1,-1,700353,862748,729732,385971,-1,-1,-1,-1,-1,542775,173384,-1,-1,-1,-1,902408,-1,-1,-1,94745,-1,-1,-1,45941,120234,942878,-1,-1,871808,-1,529069,514782,995713,537944,601790,525325,-1,872123,469702,-1,158877,-1,614751,-1,-1,25507,-1,26530,902841,906763,841505,307216,319045,-1,-1,-1,767097,136380,94079,-1,-1,161795,-1,584659,-1,-1,608512,261755,-1,-1,-1,-1,622129,413529,529236,-1,-1,437592,407094,183759,-1,-1,552701,263037,985809,-1,804851,-1,-1,654060,519384,-1,31921,-1,-1,340371,978395,751565,-1,398238,-1,-1,400107,178959,-1,607192,-1,-1,-1,150461,-1,-1,-1,299955,482764,-1,-1,-1,-1,173385,722692,286611,-1,269950,-1,-1,-1,426365,258617,-1,571086,798336,235609,20570,-1,-1,-1,496621,964507,972387,330330,68322,485028,-1,-1,396405,973222,838450,-1,511550,987517,-1,-1,952012,106463,-1,-1,496487,244277,268054,277146,-1,994376,809773,12253,386106,620340,-1,-1,-1,-1,70424,-1,915430,-1,-1,-1,917499,440467,-1,-1,-1,321420,623395,686236,591131,-1,425738,-1,52427,-1,-1,104472,105950,819680,-1,-1,-1,972713,406124,-1,-1,767986,711081,-1,-1,402585,-1,837421,861391,784074,-1,-1,966829,398999,702070,-1,-1,-1,-1,-1,934094,686459,-1,-1,89585,-1,343614,-1,603372,-1,615513,-1,697152,155992,217760,99135,386597,225253,68465,-1,345652,-1,597546,-1,519165,-1,506583,540371,898612,767061,25557,-1,-1,-1,-1,523252,-1,-1,-1,-1,964591,-1,-1,641197,294341,102761,-1,646805,-1,211481,628255,685609,-1,928898,700429,-1,-1,972210,-1,880802,-1,-1,-1,-1,54797,902591,833886,715476,-1,-1,237979,-1,-1,970893,755148,222485,923421,-1,830269,-1,-1,612684,528160,-1,790187,-1,187247,-1,-1,-1,-1,-1,-1,-1,-1,-1,221413,-1,-1,118489,-1,596650,-1,-1,627460,565187,121355,159118,253826,-1,996923,-1,955317,-1,314904,245753,-1,-1,551682,-1,-1,607189,906093,536337,492894,419123,527828,-1,-1,124476,-1,292666,71700,146428,-1,-1,892297,-1,-1,-1,325373,998873,172946,-1,-1,-1,333229,427279,921264,-1,11010,485392,-1,-1,-1,-1,78627,-1,-1,191751,-1,681925,26701,-1,-1,161266,900570,501546,-1,-1,-1,-1,722940,-1,-1,-1,-1,115645,-1,323172,512077,736006,351781,411058,524626,378524,42637,337188,-1,877979,936508,-1,-1,-1,-1,886916,-1,638613,-1,9269,524719,-1,827156,-1,937873,-1,-1,272531,-1,96677,542273,-1,389414,715630,-1,-1,-1,-1,-1,-1,286166,-1,871985,-1,-1,65115,546938,-1,-1,-1,-1,-1,325265,-1,516014,-1,908122,-1,707216,354513,192342,-1,319231,-1,694563,836061,-1,344532,455786,378395,-1,743312,566304,-1,-1,894721,-1,201949,-1,767205,259221,904482,-1,805202,-1,-1,-1,747404,299307,-1,488851,-1,-1,-1,443440,-1,35170,-1,-1,-1,-1,376046,-1,-1,-1,843154,857272,-1,-1,-1,863239,-1,-1,985903,-1,-1,903468,986524,-1,780560,-1,14848,558057,-1,101352,155385,411599,279981,-1,-1,377884,-1,783400,22181,23138,-1,104064,718654,482274,282892,561598,629533,-1,221866,215718,485394,137168,-1,716048,891404,803261,725308,345813,359830,137356,-1,903106,-1,179534,637185,868521,212467,773208,-1,-1,-1,343528,-1,-1,822914,186212,33527,250510,-1,473921,-1,737215,-1,-1,362058,52798,88785,976401,-1,-1,595053,57813,177680,-1,-1,551814,-1,6056,650704,-1,-1,-1,232892,476176,942017,-1,430864,-1,658300,-1,-1,531847,29873,-1,713070,-1,2896,-1,-1,870316,-1,998951,465503,684389,-1,78798,-1,88659,-1,691461,791758,363908,284253,-1,101932,759777,-1,-1,-1,36631,788638,649922,997478,986368,-1,-1,271215,706626,-1,-1,10797,224773,-1,936411,-1,-1,-1,674120,450251,434149,656825,-1,-1,955318,-1,-1,-1,297385,170898,934547,745771,759004,758124,-1,970247,879109,216511,412031,952815,-1,305672,-1,520783,-1,-1,-1,-1,-1,-1,829144,-1,173655,274315,374580,-1,452912,-1,70442,-1,425857,-1,-1,-1,46386,-1,702385,-1,760134,-1,-1,-1,881025,-1,-1,395187,-1,589256,-1,-1,21950,631190,492658,318138,503214,-1,783359,383551,801517,-1,101151,-1,889364,-1,-1,-1,-1,-1,-1,536768,-1,-1,215366,302428,468315,-1,-1,-1,511163,-1,-1,-1,280529,515273,-1,-1,530184,-1,-1,687654,931581,-1,941210,158051,524588,-1,-1,-1,581805,531133,-1,14545,411591,108496,937711,-1,987444,-1,-1,-1,-1,-1,37887,118032,107350,-1,434730,446182,-1,-1,929855,547768,-1,-1,-1,-1,179906,-1,419153,849485,-1,-1,-1,930742,-1,-1,145420,998770,771526,943577,340595,115434,989702,86188,915335,-1,25188,161332,932082,-1,-1,-1,830238,743503,-1,504772,-1,-1,352773,-1,182883,-1,586997,486395,495208,752853,-1,-1,123099,-1,360760,-1,-1,361444,-1,-1,-1,934020,132213,64148,-1,308746,972878,-1,-1,-1,-1,-1,267878,-1,980000,272005,807772,-1,-1,120472,-1,-1,-1,-1,-1,-1,532339,684910,-1,-1,-1,37013,-1,820520,740289,-1,811212,647510,-1,-1,18144,171350,-1,47877,-1,61777,765307,-1,81957,-1,-1,739703,-1,445375,294440,-1,-1,-1,-1,4682,-1,76567,530550,866990,-1,137315,-1,782291,363968,-1,896891,-1,-1,420486,873786,82676,-1,551839,456449,-1,892,-1,-1,939707,-1,525481,154372,-1,-1,458473,68044,592116,-1,197860,785512,-1,-1,-1,694844,239169,433595,-1,-1,-1,882832,-1,865395,-1,-1,-1,-1,177019,-1,692527,774114,-1,67315,886939,632848,-1,618806,630011,-1,265307,-1,-1,21608,198939,377551,-1,773396,-1,204436,171132,-1,-1,942882,178025,-1,-1,-1,-1,218874,362184,-1,790407,161175,-1,-1,180006,681647,138589,122636,-1,236725,-1,-1,-1,202766,-1,-1,496007,-1,87066,64757,-1,-1,189966,276925,776807,-1,-1,644210,-1,926956,-1,-1,307298,-1,942780,-1,-1,288104,331441,-1,473659,470207,182613,-1,454670,145053,367158,491264,676670,56699,48554,218019,-1,-1,411733,-1,4768,704581,-1,-1,308594,-1,152668,-1,675200,930953,70991,-1,961689,530907,-1,498711,-1,465492,387855,855953,55853,121960,-1,-1,922083,832842,756291,446401,-1,-1,-1,-1,60847,-1,-1,-1,-1,-1,-1,-1,717411,284173,458107,292289,-1,-1,837712,672815,-1,992604,-1,466547,676787,644188,-1,-1,-1,783505,480884,-1,-1,-1,943061,850256,-1,882442,-1,595597,841182,313884,920037,621380,322109,-1,-1,-1,104168,421705,570314,-1,-1,-1,587071,753554,974294,621472,-1,-1,-1,-1,784501,-1,-1,620414,-1,-1,138997,-1,-1,85657,-1,327244,613269,-1,234322,126131,287742,358853,-1,42234,-1,-1,-1,994911,-1,-1,-1,729312,-1,-1,353154,641973,282096,-1,-1,359978,-1,22167,-1,752108,-1,126030,-1,49058,-1,990694,-1,482433,49567,-1,910190,-1,-1,113669,231085,-1,-1,-1,-1,669138,-1,718785,-1,-1,254490,265578,935435,-1,-1,490682,-1,-1,-1,583875,13170,-1,381977,910757,44817,678796,-1,505310,-1,803928,-1,522753,124569,-1,289326,-1,574065,-1,-1,780419,-1,4975,73551,-1,-1,450479,101185,513140,171937,218980,768445,-1,553985,572814,-1,-1,-1,858964,-1,420510,133772,570135,97319,590480,722416,-1,-1,-1,251309,-1,762473,481825,872037,553151,192184,-1,-1,-1,-1,981558,-1,790780,-1,181433,309413,-1,-1,-1,344563,443014,-1,356311,965607,-1,627607,425415,-1,-1,-1,150570,-1,-1,908156,-1,424779,-1,330482,-1,573253,98941,224197,570067,-1,187248,-1,-1,-1,-1,-1,-1,-1,-1,638757,259911,-1,-1,-1,997333,-1,-1,-1,321022,-1,-1,-1,-1,349709,-1,-1,352680,-1,525618,-1,-1,-1,418017,733962,-1,-1,448104,890180,778944,169667,577832,76339,164782,-1,199586,-1,93531,-1,175991,-1,-1,-1,-1,-1,555725,553202,-1,31069,-1,-1,677949,-1,-1,-1,641425,-1,832170,-1,183493,173481,-1,551743,95337,346834,118194,787711,-1,-1,426495,-1,639602,820491,-1,-1,-1,-1,511270,474724,-1,-1,367959,-1,575205,68871,-1,197010,726722,-1,188986,693575,683185,-1,875712,15717,-1,-1,136229,-1,98332,261732,756229,900412,-1,499103,304471,-1,298497,690542,-1,-1,90850,-1,-1,347477,-1,-1,351342,-1,-1,964405,522648,-1,674861,142372,-1,645077,-1,739204,744394,-1,522744,-1,-1,-1,444325,-1,-1,-1,469926,-1,-1,-1,-1,282760,-1,-1,478255,-1,878000,-1,-1,-1,566541,253833,639693,916456,-1,555266,-1,665595,-1,-1,-1,39095,-1,-1,-1,-1,-1,-1,447932,741084,-1,-1,335209,121557,-1,-1,-1,386002,24494,-1,475616,-1,843742,-1,394786,556603,-1,404890,-1,-1,-1,886621,-1,515497,970933,979867,715732,-1,-1,-1,-1,-1,300846,718753,137378,-1,871399,864808,-1,-1,791784,-1,571659,-1,284835,-1,-1,-1,632811,-1,-1,-1,-1,-1,599193,400381,683069,-1,-1,-1,-1,-1,-1,673231,691008,-1,457921,-1,407969,813409,-1,-1,-1,353839,249839,797754,660515,-1,570577,952529,-1,257213,-1,917025,-1,-1,339326,337062,-1,-1,-1,-1,-1,458171,-1,959546,-1,964645,957180,-1,55532,668165,920113,-1,301037,758902,-1,-1,-1,395015,354726,103470,-1,-1,-1,-1,681779,-1,-1,495603,-1,615247,227103,419895,20486,757992,-1,-1,266107,-1,-1,-1,-1,-1,469447,-1,-1,734695,360658,968119,-1,755362,-1,-1,131093,989703,-1,-1,292095,-1,789988,188307,859048,-1,971281,964455,704568,346026,321048,21757,863159,-1,464850,993841,879559,55232,903642,671231,-1,-1,707109,522136,265299,852914,-1,818285,-1,195191,-1,-1,-1,-1,-1,-1,-1,681694,-1,-1,-1,-1,-1,979774,-1,979102,904008,-1,-1,679240,-1,429840,-1,834288,-1,903384,-1,689553,-1,652908,-1,-1,112671,208458,-1,321583,-1,164538,799018,-1,-1,660762,504182,-1,-1,-1,583969,965432,485835,347386,-1,-1,598162,-1,33491,10636,-1,-1,449847,855270,-1,147195,298798,-1,420387,108474,-1,277044,766840,533754,-1,454517,-1,663101,-1,512072,136595,696904,635584,729237,309878,-1,-1,-1,-1,-1,890066,-1,763533,-1,340565,578287,803910,-1,12218,667213,-1,171367,660342,361136,433948,-1,325256,-1,634898,-1,-1,-1,-1,356785,-1,873099,-1,-1,-1,118814,2651,-1,567262,-1,-1,481362,709242,478006,705600,994441,-1,-1,-1,548567,391267,-1,-1,-1,-1,66239,-1,875434,566519,906395,-1,356610,837866,-1,657813,-1,916493,949492,-1,354918,546925,205454,735023,-1,-1,736334,-1,95152,918864,-1,-1,841028,-1,342788,331234,-1,-1,774415,-1,-1,-1,992171,401322,530795,194368,329661,621013,-1,-1,-1,105993,214372,-1,436073,-1,-1,-1,111355,338739,711447,-1,-1,895937,-1,822100,767571,978817,426530,594720,205453,-1,883058,-1,-1,-1,987657,421209,356305,-1,398235,-1,462798,351839,-1,-1,440857,81095,-1,536431,540793,-1,-1,140249,461524,29207,-1,-1,451669,452733,-1,-1,890188,956714,569236,688413,916432,-1,712973,1052,945286,-1,136314,153426,-1,-1,617372,-1,-1,-1,797646,871728,363875,-1,108312,-1,-1,405816,-1,-1,570424,881672,-1,-1,829834,-1,-1,684684,894499,-1,96237,-1,326225,-1,-1,716121,-1,604947,-1,-1,-1,-1,379456,-1,907318,486422,-1,-1,-1,377072,180034,862525,-1,-1,-1,827055,-1,349549,195237,-1,584182,-1,439785,836798,-1,-1,-1,-1,-1,682969,-1,388852,-1,-1,-1,-1,-1,-1,-1,291456,134046,-1,-1,412935,-1,787165,-1,-1,-1,-1,319771,-1,-1,-1,407464,925352,671081,-1,-1,974550,-1,-1,770931,-1,500301,710029,167184,605651,-1,-1,461839,534455,-1,651047,366350,81387,176730,66003,-1,-1,-1,977448,-1,859570,-1,-1,-1,-1,886692,-1,-1,219732,376124,27164,889123,624537,549502,-1,351895,74451,-1,-1,-1,872759,454652,39949,810917,941341,-1,-1,-1,-1,-1,-1,-1,811323,912314,-1,923261,565003,-1,935709,-1,638816,-1,744363,-1,-1,103852,695868,577412,-1,-1,991973,-1,-1,-1,-1,689032,763796,-1,-1,-1,170255,-1,-1,678168,751292,-1,-1,575156,607415,153576,923885,597455,827361,986207,-1,978599,-1,398030,-1,-1,-1,395212,-1,-1,99365,-1,-1,197871,-1,-1,-1,-1,199619,-1,688412,233213,-1,-1,-1,68413,473831,-1,67738,539945,-1,116571,-1,597687,-1,585680,-1,-1,521748,-1,-1,904372,-1,-1,-1,570161,735168,-1,967361,-1,-1,-1,273408,-1,-1,-1,142011,367339,434983,26378,888756,714079,-1,-1,132246,-1,857370,-1,937343,18584,-1,83883,266207,-1,899837,-1,653625,552400,7778,727463,-1,-1,739192,33684,6536,-1,476722,174031,-1,411392,-1,-1,-1,278405,-1,885769,-1,408248,-1,-1,926238,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,530586,321859,-1,-1,-1,-1,-1,192221,-1,-1,-1,-1,729692,-1,227373,776603,-1,672832,74366,-1,-1,130921,-1,-1,887008,951515,-1,95563,-1,338532,-1,-1,-1,-1,773298,-1,815180,-1,-1,300138,-1,328996,167196,-1,-1,177015,341933,-1,-1,-1,-1,-1,428813,-1,640563,390358,-1,83125,38896,93122,857158,-1,-1,-1,-1,320457,-1,-1,-1,-1,651374,279085,269745,120124,482367,-1,846794,826743,-1,686501,620011,190377,-1,563611,-1,243110,-1,135356,357360,339331,941653,-1,-1,-1,-1,-1,53862,706673,-1,-1,-1,24361,-1,-1,425708,727158,346156,662005,567960,-1,110928,118918,-1,576573,417898,842191,606257,-1,-1,924579,947235,-1,-1,-1,27588,-1,185398,115106,919424,600616,961486,-1,-1,-1,269819,-1,-1,132752,-1,921738,-1,899737,-1,296262,-1,477048,293177,976987,828294,185260,852369,-1,679875,743576,-1,-1,752353,30391,-1,-1,880049,639047,-1,-1,6222,84600,324963,930319,193249,487296,-1,-1,-1,-1,449065,-1,259308,-1,-1,-1,-1,811048,371541,540602,-1,561337,-1,-1,41351,674412,470031,252369,822580,878520,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,221384,-1,-1,602254,642520,459811,195926,167798,-1,-1,613835,-1,-1,55447,39848,215179,921440,-1,-1,-1,-1,144276,542412,979374,627334,641049,685945,781605,-1,826315,15405,169194,-1,-1,-1,202521,424070,-1,-1,-1,-1,800636,314163,-1,-1,-1,509025,926585,-1,-1,467910,487081,-1,389975,313639,955194,155706,966771,-1,-1,834558,517624,-1,836380,30125,257823,-1,-1,-1,316376,-1,269897,494686,-1,629981,-1,-1,-1,50320,-1,-1,236733,-1,-1,-1,-1,363921,632651,-1,-1,274063,655121,987225,24026,-1,593296,548553,714667,356979,-1,322924,-1,-1,108757,643603,683265,-1,878396,-1,-1,804970,174916,-1,476199,261842,960760,-1,-1,-1,934246,711453,716184,686825,229854,274904,-1,765566,-1,452929,-1,-1,647055,326508,-1,919634,-1,460846,979127,241211,180467,-1,-1,-1,-1,-1,855774,-1,-1,165721,-1,290869,4237,-1,314591,521164,41733,-1,162031,-1,-1,114363,886585,-1,58789,-1,-1,-1,443411,-1,38893,243444,347367,15922,-1,31710,-1,410707,-1,226336,301889,-1,-1,918032,-1,574050,423431,19064,256087,514335,-1,527227,187367,115983,111039,-1,-1,-1,370709,121531,769415,544736,722429,244430,242485,-1,-1,418791,647501,-1,591721,982673,17966,621385,-1,-1,-1,-1,855205,863879,-1,245648,249920,845669,584046,359312,-1,-1,-1,-1,-1,511594,-1,499993,-1,-1,-1,825760,516313,214927,781280,171444,-1,-1,320,596196,895041,-1,578728,-1,-1,-1,-1,-1,-1,-1,623386,861994,-1,-1,-1,-1,984678,282196,-1,-1,319069,501090,185428,317814,-1,852111,-1,82790,-1,-1,-1,83777,-1,-1,-1,509420,-1,623978,620218,880422,-1,-1,542609,-1,-1,283156,6560,-1,471966,448311,-1,349162,-1,-1,-1,483823,799059,-1,655716,437814,329375,-1,226789,860146,-1,838567,689044,-1,-1,397641,514801,342071,-1,180422,-1,-1,193488,-1,83528,834175,744439,861612,27292,-1,423606,374207,643110,-1,-1,837029,281064,-1,-1,658086,607096,650715,-1,-1,-1,-1,747447,640807,604823,-1,725728,287514,202760,139688,-1,-1,-1,653760,-1,-1,991503,-1,871898,576390,-1,-1,-1,397597,-1,473808,-1,489513,-1,458444,-1,-1,847089,-1,-1,145839,-1,689532,-1,-1,-1,-1,746226,743636,555188,-1,874856,417488,839324,846502,-1,-1,-1,-1,-1,72253,-1,-1,-1,-1,-1,466376,-1,-1,-1,-1,-1,919323,-1,-1,576563,884403,532773,719334,222308,613505,-1,652581,-1,-1,-1,-1,-1,119336,-1,-1,681416,-1,-1,990999,867168,-1,-1,-1,-1,-1,-1,-1,-1,-1,807717,716676,597904,-1,-1,-1,108784,-1,363176,-1,-1,-1,-1,-1,-1,103935,-1,347485,571391,-1,834056,-1,549557,183689,560153,-1,807767,-1,-1,577365,-1,-1,-1,392763,759126,333607,645531,-1,758458,74660,476337,-1,705468,-1,414549,239446,48915,-1,925722,-1,-1,-1,-1,163197,452300,336777,-1,-1,861181,224214,-1,-1,470917,-1,-1,-1,712692,230191,-1,-1,166192,-1,401298,637756,817788,15896,617593,185357,-1,426654,-1,-1,-1,-1,605532,-1,385948,819877,109529,583437,-1,-1,419584,-1,163871,97807,881275,993884,-1,-1,-1,876673,816298,127043,42423,-1,-1,234877,-1,-1,-1,914252,-1,-1,-1,824736,-1,807583,161162,31399,-1,368884,127083,847849,435365,-1,388293,-1,76002,-1,-1,-1,415266,-1,242389,826409,-1,-1,846069,-1,-1,-1,612988,520913,-1,868397,695368,-1,707627,-1,-1,-1,899527,276523,641812,580695,541987,-1,-1,154424,561458,-1,-1,-1,165689,582556,-1,845787,279587,-1,-1,1499,-1,35309,-1,249515,-1,-1,-1,156904,-1,-1,547807,-1,492139,-1,465511,439750,382897,-1,-1,394923,-1,703078,690270,-1,-1,-1,-1,-1,1388,-1,482066,-1,828815,-1,105677,-1,292233,905104,95265,237385,275466,-1,-1,520837,-1,103692,258640,-1,-1,380344,147900,639901,531145,161828,-1,662203,-1,53410,179663,416530,-1,-1,-1,983634,600447,-1,-1,-1,-1,-1,-1,439306,613665,-1,236972,963776,419164,511429,296450,383667,-1,-1,-1,-1,-1,395900,475231,204775,105186,-1,-1,-1,130960,933279,-1,-1,72366,-1,453784,-1,-1,237049,849785,-1,291381,-1,-1,-1,-1,-1,-1,-1,-1,442562,-1,-1,-1,858685,-1,134978,426364,24120,163737,22714,-1,621075,-1,-1,79448,-1,110929,597770,-1,80300,733935,-1,553080,902620,746,584323,437761,210161,-1,-1,673653,287109,446237,-1,-1,-1,894986,12486,577807,-1,-1,-1,-1,442983,157751,-1,845012,314693,656012,614835,-1,615244,-1,473704,-1,862707,-1,127300,306683,361665,-1,-1,439846,-1,-1,-1,314583,-1,-1,431569,951301,468727,-1,494771,-1,-1,-1,774464,-1,-1,61622,153609,-1,275709,398095,-1,241206,-1,-1,-1,263147,-1,-1,-1,-1,-1,976444,335253,-1,350202,681621,-1,353950,-1,42254,653800,-1,-1,-1,-1,767168,387520,-1,61994,783980,381814,-1,-1,-1,785312,-1,-1,-1,515976,-1,-1,-1,-1,724994,-1,-1,605708,722774,279736,640046,-1,750398,-1,668360,-1,815602,-1,170530,-1,991041,837129,459012,560533,-1,823632,643518,914026,279600,-1,700990,-1,-1,-1,630905,-1,-1,738295,712644,853269,24339,-1,-1,951747,473237,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,985141,786034,94181,678199,770952,361450,-1,-1,-1,816005,-1,508106,-1,242445,-1,-1,703324,258703,-1,130003,-1,60831,815584,-1,-1,897923,-1,659044,-1,709466,-1,-1,764198,-1,-1,-1,973213,750470,168203,-1,594877,342277,368131,-1,547174,-1,839681,835110,-1,459708,-1,-1,-1,-1,779444,81964,-1,983593,11007,-1,-1,-1,327906,-1,-1,450795,-1,-1,-1,223751,765819,802319,-1,-1,-1,-1,474345,261291,-1,746678,255577,-1,73617,-1,-1,401052,678529,164467,758283,525512,-1,259853,-1,312399,316622,-1,-1,72789,-1,423326,-1,60198,989535,-1,737884,173137,8174,374185,-1,177598,106979,215396,-1,464222,-1,507109,628294,-1,-1,-1,-1,394081,-1,-1,524144,-1,727117,-1,-1,702370,514098,-1,-1,783781,136288,213284,518757,-1,713915,-1,-1,129026,372935,-1,-1,-1,867672,-1,-1,-1,712198,-1,308837,413258,156345,769168,406819,8047,-1,-1,666343,-1,-1,-1,370883,99893,319669,701461,912943,-1,991660,97041,-1,113855,845253,-1,-1,364568,-1,807048,253561,750101,644828,607151,-1,-1,298251,-1,-1,-1,219622,253865,386959,-1,-1,802489,5555,-1,-1,-1,-1,668105,-1,821393,-1,805091,-1,-1,72502,-1,-1,726815,147924,-1,-1,-1,-1,196484,-1,-1,-1,602934,137649,-1,983951,-1,792542,940646,-1,-1,-1,912351,-1,499594,576762,634290,-1,493617,276041,568536,-1,978811,612653,732482,393944,-1,942013,-1,-1,757255,-1,526113,553521,644348,-1,895801,569001,-1,-1,-1,-1,-1,58245,-1,957292,-1,682931,200109,237058,-1,861260,-1,-1,57794,290664,999415,262867,109613,-1,812277,554884,50051,-1,418952,-1,852874,675658,-1,361493,-1,-1,-1,21916,66592,330709,-1,603564,519770,447232,808297,-1,951470,202277,350126,-1,-1,-1,100676,458483,-1,-1,2336,-1,860417,-1,-1,677409,-1,-1,-1,283430,-1,-1,-1,-1,114011,247474,60749,759548,374200,100849,-1,126328,-1,428642,-1,335075,-1,-1,-1,-1,-1,78673,931698,568811,154573,-1,-1,-1,-1,-1,683157,528323,-1,-1,-1,647755,-1,815011,682823,796087,43410,27354,-1,-1,-1,-1,-1,-1,238036,-1,-1,-1,-1,842391,274543,252992,353909,36251,-1,905829,583722,670000,-1,-1,-1,-1,-1,602752,429183,380542,-1,567775,-1,358194,-1,665855,334260,-1,882179,-1,-1,-1,913840,945003,723277,-1,-1,-1,-1,-1,430319,817633,-1,-1,-1,-1,738731,-1,-1,-1,-1,206148,555300,-1,-1,-1,-1,627629,-1,830562,968587,478647,-1,669002,681532,-1,-1,917791,-1,-1,258789,960515,737281,-1,569043,-1,-1,-1,840960,-1,-1,588120,-1,931399,168181,531266,218289,-1,542725,787924,286273,-1,176783,-1,109177,-1,-1,-1,-1,780884,-1,944169,186503,-1,-1,1768,968013,-1,618976,-1,-1,939199,-1,-1,-1,-1,859812,-1,607731,-1,-1,-1,-1,995174,-1,346756,726868,84679,-1,-1,569651,128558,118039,-1,-1,-1,-1,-1,62723,-1,602899,-1,763142,-1,-1,226354,351048,-1,-1,-1,-1,-1,293675,652069,712249,-1,-1,305918,805796,811131,395528,-1,339905,933098,912888,599896,317776,293902,183625,-1,-1,472114,-1,948083,-1,-1,295588,-1,562676,-1,764926,-1,-1,-1,522841,738779,-1,-1,995195,427282,-1,-1,686887,214939,-1,466514,-1,-1,-1,-1,-1,790006,-1,-1,-1,-1,601511,493666,-1,825853,477637,997445,-1,-1,744679,39545,-1,-1,253707,-1,-1,-1,-1,-1,-1,-1,180330,-1,702582,861709,981875,-1,767597,-1,853772,821523,991673,49693,138651,496174,395004,610958,-1,-1,912598,158730,379448,-1,-1,-1,-1,889588,-1,-1,586974,-1,-1,-1,98791,-1,-1,-1,60515,941098,-1,-1,-1,-1,-1,23183,-1,123279,-1,-1,-1,767241,-1,51080,-1,125214,619231,-1,-1,-1,-1,-1,-1,331364,97460,-1,-1,-1,850313,-1,620167,-1,-1,731102,265242,-1,742312,-1,-1,754856,-1,-1,881376,256992,723621,-1,-1,170737,84999,-1,-1,758739,332503,183597,-1,-1,868940,-1,846073,-1,169850,-1,-1,485573,-1,-1,251034,-1,-1,507005,364654,-1,251717,-1,-1,-1,584419,-1,801198,-1,686620,-1,-1,-1,293359,476541,-1,-1,-1,-1,-1,-1,-1,184539,135469,-1,-1,416640,-1,410733,-1,-1,374927,981403,-1,656889,-1,-1,-1,-1,890526,566106,-1,-1,321298,296513,-1,261904,993175,848947,-1,-1,118258,-1,97146,983597,-1,859851,-1,762352,-1,-1,195680,-1,-1,-1,-1,134342,437579,711656,-1,-1,480492,-1,-1,-1,100453,472181,809182,18830,-1,611173,-1,566782,894276,-1,-1,-1,-1,351648,-1,-1,-1,-1,-1,665700,-1,601014,626636,-1,318036,-1,315641,-1,-1,879951,-1,-1,-1,824869,671820,-1,-1,240250,489126,607120,-1,512714,660941,727205,850012,47766,-1,-1,-1,-1,-1,740254,425777,759473,979812,-1,-1,220220,745380,-1,-1,433197,939212,-1,-1,-1,724371,209804,-1,-1,308585,-1,106582,-1,-1,229096,856077,922458,618710,368092,-1,-1,-1,938271,-1,117500,-1,-1,-1,-1,200879,926715,-1,456206,39352,792978,-1,429034,269062,893551,-1,96946,-1,652061,131201,-1,946042,311637,-1,-1,-1,-1,-1,-1,-1,627027,-1,986130,849960,316615,489764,245299,489675,547543,-1,391725,943546,111608,368122,486520,408078,949701,299273,-1,304789,27872,676735,906961,-1,-1,-1,735999,-1,-1,105541,-1,-1,777574,731489,-1,-1,-1,-1,600329,-1,-1,-1,121182,215792,305157,536715,427080,762700,65608,-1,540549,-1,-1,653781,257023,696738,939966,7749,858348,-1,-1,635558,-1,-1,-1,67001,-1,692091,81437,-1,-1,-1,-1,892291,380611,286887,23073,-1,-1,735402,441220,-1,77653,-1,94419,19299,294317,-1,-1,-1,-1,915930,16846,-1,599517,840623,414161,20669,-1,-1,-1,-1,-1,15786,-1,-1,733180,269432,26175,404113,-1,569198,-1,-1,-1,-1,342409,-1,900140,-1,928519,578620,887870,23476,152870,-1,-1,-1,-1,-1,-1,-1,-1,855874,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,951154,926190,-1,33278,977786,-1,-1,349297,322460,-1,-1,499085,-1,857261,237514,-1,-1,-1,916458,961059,-1,31442,887263,-1,681109,-1,-1,204599,-1,-1,-1,89638,-1,-1,-1,663424,814756,228311,692017,178471,-1,664598,-1,460591,-1,135686,531877,-1,152215,719338,-1,-1,-1,-1,361934,374048,-1,-1,-1,-1,456175,-1,140651,-1,-1,549884,-1,-1,184804,480110,-1,-1,-1,607099,278571,978696,-1,795477,-1,432926,825571,652527,-1,641749,-1,-1,-1,-1,97193,69515,-1,609983,170154,-1,-1,-1,-1,-1,931047,-1,-1,255076,-1,-1,-1,-1,-1,903392,-1,873244,-1,269332,2130,467761,359653,94827,17864,655824,-1,-1,-1,834526,-1,-1,108838,715939,-1,985245,-1,400143,713949,-1,161277,170575,-1,952518,-1,36834,65871,-1,807335,-1,-1,-1,679903,-1,-1,710476,-1,892152,-1,276849,452262,-1,-1,-1,632685,-1,-1,351034,-1,562513,-1,-1,212986,135128,-1,456402,-1,-1,244781,-1,326237,-1,563920,307342,858229,651567,-1,640596,-1,949635,-1,504702,517331,297292,-1,44460,-1,419207,531959,-1,-1,-1,-1,722621,651858,-1,631935,-1,556444,-1,-1,83493,-1,559099,355164,592808,757119,-1,889850,934199,928258,962535,955495,370734,688634,-1,692361,879790,776535,815167,-1,-1,-1,887656,774339,-1,511075,125146,341350,786885,613502,255850,216482,344759,-1,72681,-1,-1,-1,304760,-1,-1,102350,-1,-1,908459,-1,-1,-1,447643,386083,-1,-1,-1,370509,997232,-1,442565,-1,877872,800545,531244,816696,372353,-1,-1,-1,132057,78210,-1,892571,-1,-1,-1,498593,41765,-1,-1,-1,-1,888535,978904,-1,750159,624556,-1,611419,845709,-1,-1,760573,939377,331987,667666,-1,-1,398311,-1,-1,-1,148283,-1,485880,272504,756671,-1,-1,930041,-1,-1,790466,479706,364740,699897,206779,-1,-1,-1,727556,214550,-1,529752,424538,998380,-1,-1,-1,134597,855907,71554,-1,679831,-1,-1,915306,766334,118475,-1,926565,260936,182642,961239,901249,949173,456079,297652,-1,-1,672599,137481,-1,399570,-1,-1,-1,-1,-1,971455,294015,525251,450263,401997,-1,916944,-1,-1,44809,45374,-1,-1,724521,922715,-1,-1,169788,672857,256925,-1,-1,382468,488375,400561,683094,380826,-1,770816,692228,-1,189795,878088,-1,-1,142944,339698,959134,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,331036,-1,-1,-1,-1,322503,668824,-1,86301,40551,19368,-1,-1,838618,-1,335679,33292,946417,-1,-1,345858,-1,-1,615865,562497,896071,263328,-1,-1,-1,131070,600912,-1,-1,498590,-1,359983,-1,535647,691017,-1,434735,418863,-1,729067,-1,-1,-1,-1,-1,-1,488865,467436,-1,-1,151086,358532,170822,932901,-1,-1,865505,596792,-1,-1,758367,-1,618181,-1,312297,-1,-1,-1,-1,-1,-1,-1,27218,29175,-1,173217,493646,170589,744139,-1,740703,263620,-1,841570,-1,-1,161818,-1,-1,-1,-1,-1,-1,820225,-1,811047,230072,-1,913335,843909,-1,-1,952762,-1,-1,-1,-1,-1,-1,466102,-1,-1,374082,-1,-1,-1,729767,-1,537863,-1,-1,361097,113404,-1,-1,-1,812645,222629,977797,893217,116721,-1,-1,530808,-1,820676,521033,-1,-1,-1,-1,-1,-1,535306,-1,568619,816855,303616,-1,120517,829953,-1,-1,-1,691564,13465,-1,493627,-1,-1,-1,-1,580271,245773,12353,278031,34718,-1,896289,-1,-1,530210,-1,-1,-1,348124,575845,-1,-1,-1,-1,-1,-1,-1,477019,741832,-1,-1,276573,-1,723420,470641,937960,-1,248162,-1,528720,277293,-1,710269,-1,847033,572944,-1,-1,-1,757726,-1,481183,259398,973320,-1,-1,543192,-1,787187,980471,-1,-1,452048,-1,590880,-1,-1,981596,-1,186120,541792,-1,-1,-1,422095,-1,-1,-1,628960,-1,-1,-1,-1,-1,252298,-1,471123,384987,-1,-1,625556,633622,-1,721898,-1,568040,-1,972259,544240,-1,486917,535366,-1,729256,-1,259717,-1,-1,762528,177746,-1,-1,-1,-1,-1,-1,453591,929940,-1,560941,767690,650744,-1,-1,71066,404382,131171,776117,-1,968425,-1,-1,114765,831501,-1,-1,151291,-1,-1,-1,364818,-1,-1,91448,-1,267381,-1,-1,794636,-1,-1,43364,131669,-1,-1,-1,-1,53317,354025,748289,-1,989621,-1,-1,686642,-1,-1,-1,-1,512855,419038,-1,25326,-1,87395,-1,694789,-1,246777,300129,161545,-1,69673,769450,842960,-1,186853,-1,-1,388718,154699,554370,468445,85530,630709,-1,866019,71239,210049,819779,955910,316213,589177,237766,832244,993764,669737,875833,-1,-1,544025,-1,421493,-1,-1,149170,355015,546716,-1,394974,-1,-1,-1,985405,232698,-1,-1,341871,768352,568406,684761,-1,742140,-1,-1,-1,78192,700226,-1,288523,10361,-1,26051,-1,-1,-1,-1,-1,464433,-1,976570,-1,132911,536783,-1,-1,-1,-1,483205,-1,-1,649990,-1,-1,-1,118041,-1,681506,821426,-1,-1,907515,136602,11247,-1,410106,462517,-1,489578,-1,839773,960333,251782,-1,-1,-1,345062,781362,-1,-1,52993,-1,662122,-1,688631,-1,-1,672684,735743,-1,-1,139679,-1,-1,94602,970898,913931,-1,-1,542586,696480,520520,396523,-1,-1,-1,941903,-1,509181,-1,404279,-1,-1,-1,478585,-1,962546,-1,729651,563444,464660,-1,795634,93234,-1,115822,-1,-1,-1,-1,-1,-1,45437,-1,-1,-1,-1,-1,174815,-1,446814,-1,541161,-1,-1,400607,562886,802485,650707,591515,769541,-1,-1,-1,-1,450818,968719,-1,-1,-1,-1,182780,80725,772185,-1,-1,100500,-1,480996,937110,-1,925700,604333,-1,-1,-1,-1,992288,918346,340733,-1,719644,-1,161035,971781,968889,-1,622955,180029,908938,731387,372196,567839,84796,9279,453050,-1,-1,638367,-1,935568,632330,188066,281239,-1,-1,729389,263432,-1,-1,-1,43223,-1,-1,81356,-1,745178,198353,432374,382579,-1,-1,625239,151188,-1,593492,-1,274829,-1,-1,-1,-1,-1,-1,233399,678771,93474,-1,827851,803370,-1,-1,472329,320853,-1,-1,-1,-1,86180,-1,347812,173253,-1,255179,-1,429105,52814,-1,-1,-1,342862,-1,-1,535102,-1,586413,-1,-1,-1,175374,-1,246983,-1,-1,-1,-1,129709,882847,814606,477856,448911,467295,644663,-1,348000,-1,309261,-1,376689,788787,831370,333117,-1,487449,-1,-1,-1,-1,-1,-1,-1,-1,487153,-1,134833,-1,264052,81522,507292,-1,600122,576503,574274,-1,-1,871954,-1,921491,639962,-1,278050,-1,966377,407622,357457,497719,529309,504056,934819,-1,515730,353523,-1,-1,-1,-1,781415,-1,-1,-1,700900,562931,-1,986905,-1,653685,368091,55695,110134,-1,-1,-1,-1,-1,701091,-1,-1,723884,176439,651227,281863,-1,547608,131240,684568,181568,622630,-1,-1,99239,-1,914579,285084,886823,688324,410421,281802,835339,-1,-1,937773,214229,561784,135857,-1,-1,-1,847181,110136,-1,-1,787199,307986,709435,190740,-1,-1,-1,449712,166926,105374,121961,170632,562218,-1,-1,-1,-1,638745,258688,-1,-1,813913,976773,517028,676790,742605,596540,234400,269009,394845,590864,652850,432267,215627,611390,-1,-1,613739,-1,-1,683648,-1,30841,341867,-1,38215,-1,268906,-1,-1,-1,-1,-1,-1,-1,-1,133456,850949,-1,444018,18107,-1,-1,805384,-1,-1,-1,-1,661151,-1,-1,627765,-1,216837,271538,366711,96220,878630,119799,269286,-1,-1,-1,642307,-1,-1,-1,665147,-1,-1,-1,-1,109493,310066,201121,-1,-1,748493,-1,939215,-1,823690,-1,249232,149286,169556,-1,-1,-1,978459,919224,927287,-1,877903,835385,-1,794842,-1,484279,282822,404986,-1,-1,-1,268381,880868,103870,-1,-1,-1,908699,-1,540491,-1,-1,-1,95808,-1,-1,-1,948109,999418,-1,-1,128574,-1,808292,397374,-1,-1,54559,-1,449881,-1,-1,78757,-1,-1,312311,-1,682203,206693,-1,-1,629867,196191,-1,-1,-1,61459,946229,-1,-1,-1,927394,519349,53125,-1,-1,-1,-1,811414,-1,-1,378132,143923,615706,-1,-1,-1,119526,838142,-1,42462,733769,-1,-1,-1,-1,545151,834200,-1,800424,600621,219735,215589,588171,713195,-1,-1,907367,-1,-1,-1,719323,-1,-1,438521,-1,844464,-1,-1,761102,-1,-1,893250,-1,-1,454145,103407,-1,-1,337068,-1,-1,-1,-1,-1,235356,-1,-1,-1,-1,-1,942613,755089,5433,-1,827267,639899,627132,567867,726042,688975,893798,24146,-1,-1,-1,-1,-1,425528,-1,-1,752442,-1,195614,550171,927051,-1,-1,-1,-1,235096,861093,332754,304084,158123,844213,74767,824483,-1,-1,927337,-1,-1,-1,591673,313936,-1,794213,-1,69288,252351,-1,-1,267989,395761,363799,318536,864277,385570,92053,-1,347065,-1,-1,-1,-1,254793,-1,926084,137095,-1,-1,-1,741293,-1,64177,-1,39354,-1,-1,-1,-1,336659,696141,-1,-1,898836,-1,597586,28763,601286,-1,203586,797752,383679,18765,229197,-1,-1,-1,229145,631163,914902,266825,333902,860489,63713,-1,-1,794219,-1,228072,-1,607728,385874,-1,370581,460098,-1,445632,916669,-1,296501,62131,-1,543641,492492,168749,-1,984018,-1,756978,940913,-1,-1,290774,-1,-1,665124,-1,944783,-1,835474,-1,-1,-1,802468,706521,-1,808324,-1,-1,-1,276082,-1,-1,204874,-1,-1,652172,571541,991026,-1,-1,-1,-1,308953,451339,-1,-1,-1,-1,-1,-1,-1,-1,781647,-1,-1,477508,793900,-1,-1,-1,780458,360606,-1,-1,770584,476150,-1,487506,393097,705642,-1,557551,-1,798555,-1,92179,-1,596209,978491,633455,53147,-1,756286,106433,830745,-1,953007,-1,651302,672406,481618,12414,237484,-1,879066,932465,261889,218270,132470,-1,-1,-1,-1,-1,-1,-1,-1,24290,215470,-1,-1,-1,308657,736777,316057,453414,993378,-1,-1,-1,-1,67901,-1,151235,-1,55581,15545,321526,-1,929049,-1,677330,382465,-1,-1,982322,540524,-1,-1,121341,974936,101939,-1,380244,-1,-1,278737,-1,-1,-1,585448,735310,-1,-1,-1,-1,-1,421892,863091,-1,511518,-1,-1,598641,-1,-1,-1,314116,-1,-1,-1,-1,-1,509670,-1,-1,432253,-1,801667,-1,-1,-1,-1,664221,611824,-1,587420,186358,311402,905352,-1,217513,-1,469927,828301,630191,-1,-1,954713,-1,967879,5520,672727,-1,-1,-1,899404,892273,315742,958702,184949,-1,47140,-1,754929,571726,-1,-1,-1,390510,499493,-1,378578,1656,313686,-1,878682,145555,849899,-1,-1,-1,244199,-1,969256,-1,-1,-1,-1,-1,895324,333947,-1,-1,-1,340081,-1,-1,-1,942907,-1,-1,150485,-1,-1,-1,-1,-1,-1,-1,503931,506172,-1,-1,-1,-1,-1,-1,-1,-1,167431,-1,-1,-1,804185,-1,-1,498882,-1,602373,-1,644845,824872,859536,950248,-1,-1,-1,63913,-1,352858,166766,441660,780272,-1,-1,809324,-1,-1,556508,-1,-1,-1,-1,-1,-1,427639,-1,399932,581886,196357,376052,791046,-1,-1,-1,-1,449001,-1,-1,-1,73327,341760,-1,933055,-1,491487,-1,-1,790624,-1,584435,-1,125810,-1,454893,-1,710195,26271,448272,-1,38987,-1,968097,-1,644216,-1,-1,224513,721101,-1,298507,-1,-1,-1,-1,461610,-1,935983,-1,509098,135043,-1,-1,297983,-1,-1,-1,-1,-1,324301,-1,-1,890153,292518,250333,-1,-1,-1,-1,983863,645985,119186,-1,-1,332121,-1,104531,901705,-1,260930,282180,-1,-1,-1,193261,-1,414725,-1,-1,-1,173694,155919,227071,254976,899057,997564,-1,294873,609471,964788,-1,-1,975816,220166,-1,-1,-1,132494,-1,-1,-1,376693,480126,737109,-1,-1,738146,-1,836149,404217,-1,694876,-1,634998,578375,-1,290600,-1,-1,424522,-1,-1,70222,511701,290640,566484,761239,-1,-1,-1,781090,58075,278863,-1,746144,912372,-1,-1,504035,747291,-1,989998,-1,105773,374587,831056,-1,848527,-1,589494,-1,-1,-1,47189,-1,945469,942241,-1,-1,-1,-1,-1,476089,-1,739135,112193,93551,-1,-1,-1,781076,-1,-1,615643,-1,825103,499876,349973,-1,-1,-1,5410,68741,609159,-1,-1,-1,-1,-1,503828,-1,78952,-1,896506,448463,592444,-1,647464,-1,-1,-1,-1,468956,828695,-1,-1,-1,-1,-1,-1,72640,-1,-1,741309,-1,-1,-1,-1,233051,-1,-1,205459,-1,302964,-1,-1,-1,-1,72006,-1,-1,607479,-1,519258,764440,338644,626226,-1,-1,-1,-1,-1,945727,298338,-1,753574,894167,-1,-1,947640,997686,739303,-1,-1,810601,258969,-1,-1,661613,-1,161140,-1,567932,779477,149566,-1,-1,260399,-1,913090,-1,860593,501702,-1,738788,690775,-1,955398,673503,-1,-1,-1,-1,-1,-1,864992,285662,452629,-1,727105,-1,-1,490729,-1,-1,550106,662604,-1,608159,452477,-1,795612,-1,-1,-1,999446,597544,690833,-1,85203,-1,-1,254958,420858,-1,595638,-1,561860,-1,663300,-1,-1,-1,398135,-1,-1,-1,63239,-1,-1,-1,946494,-1,-1,107945,-1,179154,-1,-1,457779,-1,937567,238792,-1,159090,238125,-1,-1,-1,-1,-1,-1,814846,-1,-1,-1,-1,547312,204889,599685,-1,-1,-1,-1,490281,-1,2894,51459,643039,614409,-1,-1,302445,644190,627164,105111,881115,-1,-1,-1,-1,-1,720824,-1,-1,-1,-1,263600,-1,-1,311778,-1,58470,842244,768345,-1,-1,17833,343021,-1,-1,209597,-1,211900,-1,316922,-1,-1,-1,807452,-1,-1,-1,949421,-1,183960,316780,-1,717728,-1,-1,945187,-1,247057,-1,-1,305861,-1,764838,698944,463845,664785,-1,354643,-1,186007,-1,794613,494097,674309,288271,12809,-1,-1,339788,933615,-1,-1,-1,324297,32832,251367,-1,-1,158332,-1,-1,-1,276392,364552,888582,-1,-1,-1,994563,758287,-1,-1,141567,-1,-1,141034,198366,-1,-1,314979,473987,155795,23913,-1,-1,139995,-1,283969,-1,-1,-1,702593,450326,-1,439118,-1,-1,-1,-1,238248,-1,-1,-1,-1,811073,766994,937861,-1,81513,-1,-1,-1,678958,317131,-1,909544,-1,-1,-1,-1,688917,284900,-1,89284,834948,-1,-1,-1,234026,-1,118669,-1,-1,-1,764112,-1,78914,-1,-1,632370,-1,631786,458939,122409,-1,237054,-1,678364,556175,444277,825646,935184,730407,-1,-1,114444,350614,317364,-1,9513,-1,-1,771946,205509,-1,233565,-1,536686,-1,-1,331908,710628,-1,439943,-1,-1,171224,-1,-1,440076,-1,-1,-1,989139,-1,656765,62373,-1,-1,267114,826679,941250,725803,-1,-1,663693,927212,940687,779622,789308,-1,557830,171290,-1,900882,-1,-1,695483,-1,-1,-1,898590,456618,971345,-1,-1,-1,577511,-1,64223,256147,719051,-1,279470,305134,276633,320701,-1,8442,-1,-1,-1,102298,974603,-1,-1,644293,239797,805469,-1,-1,-1,-1,-1,-1,606768,332589,100720,-1,-1,-1,-1,952655,-1,-1,371003,120431,412709,890613,-1,810277,950663,916658,971110,454183,128925,-1,622311,816849,-1,388871,-1,496204,259912,276067,-1,-1,-1,-1,144078,308662,-1,-1,-1,737852,-1,432430,182274,-1,-1,427568,160098,-1,-1,-1,495249,474962,-1,-1,788085,181280,632346,801411,877465,-1,186387,3220,827951,586986,-1,779640,896863,-1,877406,-1,-1,487693,-1,921954,-1,332557,623612,-1,-1,-1,855519,-1,79509,3706,-1,-1,25769,382540,-1,187116,-1,908242,-1,409517,-1,72728,-1,532456,-1,-1,329666,57777,696594,-1,385462,-1,102517,835055,953972,-1,405268,624203,420796,-1,-1,-1,-1,273351,-1,-1,765952,-1,459048,-1,73993,-1,338083,-1,201764,826079,-1,-1,995001,636933,-1,-1,-1,-1,-1,506255,-1,-1,27365,-1,186391,382238,-1,-1,-1,127314,178646,-1,-1,-1,380113,644506,976758,378717,-1,-1,714623,-1,-1,805465,9755,128825,-1,605478,-1,-1,446319,667789,-1,958077,441357,-1,-1,-1,826289,-1,-1,-1,-1,-1,-1,-1,575536,132696,-1,439927,-1,-1,177049,910395,-1,-1,-1,82157,323060,-1,380529,-1,955207,-1,177270,877050,-1,199073,690228,-1,-1,-1,-1,-1,59301,270912,-1,699978,63590,-1,-1,-1,-1,833592,658834,315324,9134,166468,-1,-1,-1,-1,-1,362441,-1,-1,-1,433203,-1,-1,-1,-1,-1,-1,-1,232042,-1,920516,-1,218248,-1,32751,-1,702467,-1,96105,720194,946347,-1,369365,-1,-1,-1,-1,-1,-1,936117,-1,-1,100629,387685,-1,78672,710883,-1,491754,90772,-1,899587,614990,-1,-1,152100,852502,569545,-1,933393,-1,302505,-1,97760,193318,-1,833596,-1,489544,566101,-1,615365,1394,-1,-1,-1,756569,314923,-1,-1,-1,152193,-1,-1,899312,-1,77580,190589,713229,588158,-1,482875,56553,-1,-1,-1,179021,976611,239430,50415,936423,392918,-1,601589,823034,811106,-1,-1,-1,-1,-1,98799,966563,-1,114552,-1,-1,-1,-1,90305,-1,-1,-1,252340,-1,643016,987342,405155,175204,284913,585822,-1,-1,54533,-1,276898,470118,726549,789625,796642,-1,411787,71394,-1,-1,280863,-1,-1,53132,917362,-1,-1,-1,338058,188514,-1,488727,596642,-1,16704,93601,3997,-1,-1,-1,883190,356009,599615,631458,945473,-1,663430,984831,-1,-1,-1,737958,795150,597472,-1,-1,-1,-1,405843,-1,384424,-1,549872,-1,-1,-1,110594,-1,751712,783003,-1,526712,-1,323660,880750,-1,52054,-1,522116,-1,-1,-1,-1,-1,716673,-1,-1,292520,133499,32221,-1,-1,652257,226469,-1,-1,-1,166485,-1,-1,558892,-1,-1,-1,402322,551663,-1,-1,451104,676264,952424,693369,502925,-1,43650,532755,-1,462253,770720,-1,312231,601513,306279,787409,-1,903809,177621,-1,229576,-1,446830,-1,652600,141249,329907,844680,647611,89311,604453,-1,-1,266312,296671,-1,205053,151040,-1,-1,642790,-1,157274,-1,-1,-1,-1,951044,-1,583400,-1,867399,-1,-1,-1,273343,-1,12476,150705,773892,164706,-1,-1,749661,450837,-1,456576,-1,-1,982082,-1,549815,-1,-1,853657,-1,417771,-1,-1,-1,690984,-1,98843,760808,-1,342541,-1,-1,-1,700687,378588,-1,-1,-1,-1,-1,-1,430657,135801,-1,682355,-1,18893,-1,972223,599990,-1,670576,-1,161250,-1,135684,958948,-1,317998,790682,-1,-1,-1,-1,38069,-1,46819,-1,-1,-1,867242,-1,908824,-1,472779,673404,800093,-1,625242,18974,-1,-1,-1,254665,917888,-1,172805,896342,-1,468880,245530,-1,-1,-1,986061,-1,669824,790364,-1,-1,-1,272321,379748,-1,440540,827558,-1,-1,981268,-1,770142,689258,62831,-1,726260,801693,441328,-1,736788,-1,926962,-1,341069,-1,-1,242941,41173,600693,181944,-1,-1,-1,282547,210441,-1,-1,-1,-1,636783,229997,382667,-1,984161,-1,-1,141200,-1,-1,351404,-1,-1,-1,805786,-1,287905,-1,-1,829569,92459,-1,-1,-1,-1,207163,-1,421336,-1,583182,-1,535457,-1,-1,-1,153238,-1,366353,946164,619898,-1,952574,840651,406712,-1,-1,-1,-1,-1,2578,539152,-1,-1,-1,-1,609523,353742,652009,-1,548758,54924,-1,323729,-1,-1,187402,-1,212300,-1,551815,-1,-1,525583,-1,-1,878629,-1,-1,-1,-1,-1,-1,-1,-1,-1,20057,-1,121370,528337,-1,467229,842056,-1,-1,-1,-1,-1,910837,-1,871837,-1,-1,118138,999071,-1,763120,-1,802270,-1,159097,-1,360037,-1,-1,-1,132645,25771,139724,917621,456451,700806,-1,978063,-1,871866,-1,407395,195078,-1,-1,82354,47004,551346,561436,-1,-1,-1,623435,-1,-1,411002,510791,-1,-1,-1,-1,-1,-1,325859,-1,-1,-1,348843,870237,275007,717847,511037,-1,506622,45186,-1,-1,-1,974575,366918,-1,991546,126402,-1,856591,872846,-1,-1,-1,-1,702648,740397,539041,666168,952299,958831,686893,-1,760138,389045,798451,-1,-1,-1,932791,-1,409647,-1,259775,394748,-1,-1,-1,424419,-1,-1,-1,-1,-1,728141,-1,977166,-1,-1,-1,-1,-1,-1,556793,7545,-1,626334,223680,858126,-1,458004,-1,119906,-1,912115,435486,337882,437696,-1,-1,10115,-1,350422,-1,-1,249579,858627,-1,610106,67809,444516,535552,-1,449068,-1,394782,126006,-1,-1,606208,-1,-1,-1,517132,858649,726322,-1,-1,-1,-1,-1,469506,-1,-1,561718,224050,938115,-1,-1,-1,813238,-1,976720,-1,201470,612229,-1,-1,828957,-1,995939,388772,919815,586806,-1,-1,-1,138482,-1,-1,-1,252772,-1,994637,-1,14418,882079,-1,932463,269884,814588,-1,-1,-1,575562,-1,945754,-1,308806,-1,996338,511292,657033,-1,-1,573898,-1,515375,139411,87403,370232,426223,-1,657560,127270,-1,531175,-1,821846,-1,999122,888109,373171,280240,476183,-1,-1,-1,-1,530801,-1,-1,839403,-1,342576,791649,209476,779031,453479,-1,-1,560971,-1,-1,-1,266782,-1,-1,504833,-1,-1,-1,475925,181454,886608,-1,185823,-1,-1,125631,29427,399227,-1,-1,-1,634699,932207,-1,-1,838927,-1,165459,-1,840481,-1,-1,-1,-1,-1,111269,414219,664825,634529,390027,-1,-1,682608,892332,-1,766657,486220,-1,-1,407076,-1,-1,-1,36202,-1,-1,566962,-1,-1,104121,178317,-1,-1,429157,-1,44734,-1,-1,-1,396458,617302,-1,-1,-1,-1,324678,634248,-1,710529,682217,-1,663764,213303,-1,-1,-1,524793,-1,659047,297388,-1,787679,717458,-1,-1,-1,-1,-1,534982,-1,-1,-1,404212,-1,744040,591218,-1,75379,299144,-1,-1,-1,-1,208358,376443,484157,188791,904577,-1,20011,-1,-1,-1,-1,423000,529719,-1,374249,-1,6611,348441,-1,213527,309368,518617,-1,793317,-1,962987,278787,666482,-1,-1,-1,-1,22261,128459,538763,482494,-1,-1,511087,-1,825687,366194,187222,-1,-1,597043,881457,995128,-1,-1,457260,295351,-1,912558,855019,-1,-1,244748,-1,977010,-1,164157,285774,410372,371112,911717,720253,-1,-1,-1,958468,-1,-1,-1,317588,-1,376772,448810,-1,-1,169764,611085,-1,-1,24198,341199,-1,871426,443232,402034,-1,-1,-1,517214,-1,183876,103279,-1,-1,-1,512164,-1,-1,451199,-1,-1,927267,-1,656743,-1,-1,-1,893151,418769,720700,-1,-1,-1,758535,-1,-1,-1,-1,-1,255378,920125,-1,707374,898341,-1,-1,-1,-1,-1,879232,487584,-1,78756,-1,-1,584292,566848,493458,-1,626316,832599,-1,532376,526433,329911,-1,-1,-1,436771,110522,964843,-1,-1,850347,-1,183587,761208,-1,493956,-1,806526,115865,-1,-1,95103,-1,912208,-1,295711,853057,-1,229614,897828,-1,-1,767835,853923,817316,-1,-1,800513,675840,-1,-1,-1,-1,-1,-1,393982,721947,-1,-1,-1,141395,-1,-1,-1,518392,-1,-1,242075,171750,-1,840587,995576,866856,-1,-1,-1,-1,-1,686712,-1,-1,-1,383269,976136,697313,29973,136255,-1,-1,694027,942880,726503,-1,209546,-1,-1,888307,-1,422491,344475,-1,770888,-1,-1,571575,792525,354598,-1,-1,-1,-1,393264,-1,725234,-1,84351,996283,707813,-1,-1,780850,17756,997463,138087,-1,721979,541173,318731,-1,620506,362278,-1,502997,-1,782628,-1,867826,-1,-1,473254,-1,857558,288211,735916,440350,-1,-1,-1,-1,-1,-1,293674,-1,106332,-1,-1,-1,-1,-1,402236,895373,-1,842365,-1,-1,-1,837625,574806,-1,77557,-1,-1,227666,160614,948217,614376,-1,-1,-1,227584,698483,-1,-1,-1,-1,924552,-1,-1,-1,-1,-1,-1,-1,578918,93941,997589,797908,216839,835781,548787,-1,979450,-1,200499,953304,-1,-1,39233,-1,-1,697175,-1,73463,229396,908087,-1,424281,-1,-1,-1,-1,258663,128177,459646,-1,106156,-1,881728,678938,253666,979131,-1,280964,-1,-1,602726,-1,160392,-1,947844,65512,983897,342908,-1,868228,-1,-1,167961,427431,-1,-1,114793,-1,-1,-1,-1,967372,-1,-1,524979,-1,658807,-1,966300,733088,507648,58037,-1,839244,-1,-1,-1,919078,-1,754577,961664,-1,114051,-1,-1,858284,128240,-1,151715,385197,-1,-1,-1,254176,592882,-1,-1,-1,-1,-1,-1,989142,-1,700543,777372,-1,636580,722570,32651,-1,-1,737030,-1,6334,912972,96079,884451,922655,601435,-1,-1,-1,740048,-1,-1,29346,-1,-1,421424,370302,188658,-1,249005,-1,-1,-1,528670,764379,-1,-1,504738,-1,97155,91110,672545,-1,30614,-1,875446,-1,-1,658557,-1,562863,-1,-1,-1,-1,-1,-1,-1,-1,30320,366927,235832,-1,905002,-1,781051,165029,-1,331213,-1,20655,-1,-1,-1,-1,717718,-1,811764,-1,-1,-1,-1,-1,-1,713727,626992,-1,-1,-1,848828,-1,-1,-1,-1,-1,-1,80975,303952,231003,-1,-1,-1,669777,806279,-1,-1,-1,274402,-1,625554,-1,-1,297797,799854,967542,921554,251947,461881,103319,-1,65428,351620,-1,256171,-1,314872,826259,400309,-1,24047,107319,-1,-1,662040,-1,-1,-1,310488,-1,-1,-1,391087,778703,881613,-1,-1,912681,664171,673919,730516,824361,523629,-1,871188,-1,650432,805566,-1,-1,196998,-1,123201,-1,-1,738465,-1,621093,351653,930519,687646,-1,-1,-1,-1,65749,-1,-1,480328,719996,-1,409987,-1,-1,388783,585062,-1,-1,-1,278981,417713,390342,443828,984081,194161,-1,50438,-1,248668,176063,-1,727037,815514,-1,687237,-1,-1,557683,310869,-1,-1,-1,-1,-1,142557,-1,-1,828795,-1,-1,953766,-1,282742,281694,-1,566825,224999,-1,871974,159841,839939,607817,7432,-1,-1,-1,-1,547580,750946,-1,-1,54121,-1,-1,708550,706040,693169,800825,-1,930738,84821,136153,911908,981793,6581,665476,283632,609142,-1,528108,-1,-1,729010,597496,-1,317174,-1,-1,722156,-1,794935,301963,114507,469508,-1,-1,-1,10484,-1,115043,62452,730638,266010,215817,204234,-1,-1,-1,764846,-1,-1,-1,822400,128261,812502,-1,-1,-1,75208,81000,-1,855131,383045,-1,379287,887305,390652,230726,-1,-1,525864,848685,-1,845679,485245,207028,-1,-1,-1,-1,-1,588064,130706,-1,-1,18019,-1,202835,-1,75020,-1,-1,424280,649620,-1,-1,735704,-1,245109,940455,-1,-1,-1,427045,3579,988296,595239,-1,678110,906774,98450,428030,-1,-1,165935,760273,-1,633341,440575,224084,-1,628587,-1,-1,-1,-1,-1,-1,189391,-1,838256,-1,993112,201331,201000,-1,57697,694801,-1,499998,-1,317147,152905,927556,586360,-1,-1,-1,-1,639179,-1,-1,257574,888785,-1,-1,823323,24335,-1,221129,-1,297605,-1,-1,-1,-1,-1,-1,-1,-1,852207,-1,-1,314195,580010,898445,-1,977233,853189,-1,-1,973500,952987,78464,-1,-1,-1,965704,-1,987323,-1,-1,-1,704835,984533,203587,107088,-1,-1,-1,664086,363309,-1,-1,660841,-1,-1,-1,-1,564453,494680,855553,-1,-1,-1,-1,113738,375276,669837,-1,472298,111753,326421,-1,-1,-1,-1,-1,-1,155016,399021,-1,979868,478372,-1,682682,955885,-1,-1,337448,87278,292079,-1,-1,-1,-1,-1,-1,-1,-1,-1,902936,532789,958741,159510,-1,-1,-1,-1,-1,156582,-1,126607,822333,-1,-1,-1,-1,-1,-1,234517,-1,370823,600079,-1,-1,-1,697185,818107,952683,350819,-1,291148,-1,-1,-1,78216,-1,-1,911730,329872,576826,-1,-1,962706,28323,-1,371038,-1,-1,-1,-1,-1,369147,-1,-1,227848,7783,-1,737087,195035,-1,145406,965864,-1,-1,-1,798013,850733,423284,84461,613896,-1,991909,-1,-1,161771,121606,911522,204809,-1,-1,194486,-1,-1,-1,-1,-1,364064,-1,331565,-1,472361,107017,-1,366122,-1,-1,-1,-1,875727,-1,-1,418317,44746,-1,-1,-1,-1,-1,147649,530378,-1,-1,-1,-1,218564,-1,-1,901319,672725,-1,-1,-1,-1,-1,-1,-1,-1,986195,-1,-1,-1,987653,-1,-1,47335,-1,-1,213523,-1,-1,114506,235048,-1,-1,578966,-1,-1,-1,102416,14649,-1,970606,162053,-1,155341,886380,-1,-1,-1,41954,714001,551395,843429,-1,-1,507881,-1,-1,-1,316253,802456,-1,528470,870153,-1,464322,42192,-1,66950,-1,-1,-1,-1,888708,895150,-1,-1,-1,245905,-1,-1,-1,201552,-1,694159,-1,68431,-1,-1,236089,-1,-1,693468,-1,11420,-1,-1,363980,-1,652207,234879,-1,757784,-1,-1,418381,-1,224447,857212,-1,-1,403250,225381,-1,-1,409168,-1,-1,575455,177206,-1,-1,-1,39568,-1,365564,-1,-1,518916,-1,-1,769611,114374,267872,49199,-1,490135,-1,304475,876748,108696,-1,102098,626132,644840,432019,-1,671203,-1,-1,-1,511702,21321,-1,361739,-1,-1,-1,248243,-1,-1,-1,-1,751589,-1,-1,-1,-1,-1,-1,273585,278285,349482,64013,-1,938794,-1,45768,801986,-1,-1,-1,381773,697252,330541,-1,87391,-1,296752,79061,875880,-1,-1,-1,831897,-1,79729,582729,-1,-1,67709,-1,-1,-1,152761,-1,43473,-1,698193,-1,869519,655130,-1,-1,-1,-1,626814,-1,421195,264292,-1,-1,-1,-1,547834,410915,-1,790490,-1,-1,-1,88152,-1,616920,200393,-1,646332,-1,357264,749262,-1,-1,-1,361036,-1,449129,366625,-1,302739,963126,-1,929562,849635,35251,-1,-1,-1,-1,-1,-1,-1,-1,287698,427484,-1,613862,-1,921273,163051,523349,961544,-1,822699,321593,52691,-1,899149,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,66737,969994,-1,-1,789722,527316,-1,7134,-1,-1,284487,907225,-1,517300,965762,632724,189669,-1,995557,-1,501487,-1,-1,239477,-1,546994,-1,-1,-1,785268,-1,-1,775179,-1,752060,282468,-1,-1,-1,-1,-1,208200,-1,627670,878635,196970,-1,-1,-1,-1,-1,-1,792026,-1,846898,-1,-1,72161,859440,-1,202212,666683,687507,-1,769280,630892,319179,637962,-1,16158,-1,779222,-1,-1,-1,502767,-1,617388,579050,-1,-1,13554,886220,-1,699818,-1,33870,-1,-1,337254,680587,-1,-1,-1,-1,-1,410740,915907,234105,204213,332469,-1,914578,-1,-1,335450,118433,-1,-1,340130,-1,891493,-1,-1,-1,-1,477150,210413,-1,727543,294926,-1,-1,-1,779659,627771,-1,-1,829876,960569,-1,-1,239507,-1,-1,-1,707385,807071,26233,575940,-1,27853,89930,-1,-1,998234,304414,332518,379585,578685,522550,-1,14013,-1,-1,76829,-1,-1,-1,725285,120868,517275,979471,-1,880961,480647,998956,-1,476776,-1,-1,524429,67036,-1,507602,-1,880857,540031,602731,-1,492303,-1,360550,-1,757665,-1,826853,-1,396124,-1,446564,-1,859710,344765,726749,-1,-1,566202,-1,438843,-1,327943,453930,716718,300046,-1,-1,169130,-1,144707,531056,-1,-1,887999,449022,-1,514161,786243,-1,-1,-1,-1,-1,650280,869840,-1,-1,773164,-1,-1,178624,974207,694354,912496,753908,559872,998705,486700,902780,-1,-1,853912,217391,344388,-1,-1,-1,-1,-1,480116,191993,-1,399958,390988,136028,-1,360714,406220,516638,177133,878909,-1,-1,458113,-1,623097,770202,-1,603360,213635,-1,-1,687202,-1,363594,829309,500495,-1,702384,-1,-1,-1,-1,-1,-1,-1,-1,684323,972983,-1,617169,-1,800643,-1,-1,-1,432856,-1,-1,702032,-1,-1,331018,854488,-1,-1,538712,-1,629442,-1,303653,252795,-1,87548,-1,-1,-1,-1,-1,-1,148915,-1,-1,-1,602020,12684,305559,-1,-1,674544,-1,37243,-1,621090,902524,-1,902525,-1,-1,398468,94870,-1,-1,349347,-1,654190,228724,-1,737320,865729,531925,189432,658118,759307,962086,140692,327644,601167,334989,56742,-1,-1,-1,-1,592383,279927,-1,368446,-1,592390,-1,538091,783580,296445,730107,602723,-1,-1,637991,508174,21110,-1,208701,-1,616348,508417,-1,-1,702395,-1,36744,-1,-1,314726,-1,502411,-1,953364,17195,-1,-1,533269,-1,-1,-1,-1,578920,-1,776563,-1,741346,-1,-1,-1,127985,380908,-1,-1,162185,-1,36638,652204,492174,752038,234662,534506,-1,621633,851567,792075,-1,-1,-1,835861,886258,240916,58498,-1,625930,781261,-1,854563,-1,686592,-1,-1,37558,-1,279329,-1,-1,669943,-1,-1,568579,510931,-1,913305,-1,-1,992991,-1,792244,-1,145029,-1,-1,694403,587099,-1,-1,-1,588503,811383,-1,835143,932966,-1,-1,576409,228765,-1,-1,96007,732348,984801,-1,818652,-1,-1,-1,482772,-1,7580,872954,615519,108481,-1,604883,-1,207264,-1,-1,215108,-1,779634,-1,34041,-1,-1,-1,-1,488296,-1,805205,252402,203478,259338,-1,-1,35551,-1,904280,559925,765759,-1,693921,-1,399784,-1,968702,-1,-1,-1,161178,205460,296653,967798,243000,644568,-1,-1,-1,-1,894555,-1,-1,-1,-1,-1,639391,-1,360929,-1,21599,-1,-1,380800,-1,822706,762308,857883,572169,429645,-1,-1,-1,411973,-1,-1,-1,122163,-1,-1,-1,-1,224220,655267,-1,473971,-1,648563,-1,-1,553331,979205,306553,191503,795521,444998,-1,334624,703817,880878,-1,946979,-1,973316,-1,224139,297945,-1,514639,-1,-1,194505,213300,400052,-1,-1,-1,-1,-1,-1,951223,192,943892,17869,211744,-1,506175,921615,-1,-1,963399,160920,-1,687190,908036,143078,114780,752783,212348,-1,277312,902467,103608,-1,116075,495843,317794,-1,-1,-1,-1,-1,35153,-1,-1,-1,-1,671903,-1,-1,-1,-1,-1,-1,-1,331299,820824,-1,135710,87955,-1,631110,-1,-1,384762,-1,252404,629866,147815,687172,-1,-1,921413,-1,380586,-1,-1,329077,-1,904591,219648,247564,-1,736103,-1,28444,206225,-1,-1,-1,975023,-1,-1,-1,-1,-1,571926,-1,-1,497778,121168,-1,179645,490853,795620,-1,-1,73465,33248,-1,30517,276778,-1,929070,618523,-1,-1,974245,600580,-1,266589,471603,627684,315839,-1,-1,-1,559207,911635,167067,880887,664191,-1,-1,-1,735823,-1,364720,673158,484584,806990,-1,-1,-1,712456,497468,-1,393040,520021,390224,985554,-1,-1,-1,181807,-1,-1,50748,76932,779779,298615,-1,-1,-1,-1,936623,-1,367920,-1,-1,-1,-1,169693,-1,-1,998179,-1,583873,31780,-1,-1,-1,-1,537349,-1,-1,119627,-1,219869,-1,863727,320248,-1,-1,-1,859817,-1,-1,28301,-1,628763,856733,-1,457597,-1,271475,554272,-1,-1,279288,141989,-1,487431,483295,263461,747267,-1,-1,-1,-1,-1,-1,23427,-1,148007,631349,-1,-1,-1,-1,-1,-1,738668,-1,596047,-1,-1,595790,-1,909862,-1,-1,29906,388936,442857,-1,178400,248450,730043,372104,-1,-1,-1,-1,16495,-1,-1,-1,-1,72582,-1,-1,-1,-1,63387,-1,12043,-1,170117,255563,176807,719438,285536,147145,321026,522798,464989,-1,937817,605325,951215,830382,-1,83436,-1,-1,-1,-1,978589,906228,-1,599781,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,21345,-1,-1,-1,-1,-1,366670,-1,-1,-1,-1,-1,272746,-1,-1,-1,308964,-1,247199,-1,-1,586355,287202,-1,306056,156049,-1,70390,418981,-1,-1,-1,-1,-1,-1,953175,-1,188966,-1,79106,431045,-1,781987,491257,294759,-1,-1,614331,934731,656146,-1,-1,-1,693867,-1,-1,-1,866969,582667,731495,542630,-1,-1,483902,-1,-1,898271,693824,-1,-1,801088,-1,-1,885422,430560,-1,762424,641773,-1,-1,338705,-1,390764,-1,475644,254997,613378,-1,531937,142239,-1,-1,-1,765160,50707,424376,-1,-1,-1,-1,-1,-1,333945,361263,-1,-1,-1,992890,481438,531574,668370,296372,-1,411325,-1,56065,362141,537627,-1,228993,-1,112155,-1,843852,-1,-1,265076,-1,-1,-1,520689,917949,818697,-1,-1,-1,-1,-1,-1,-1,-1,-1,614543,852356,118818,-1,-1,478799,-1,-1,69867,516089,-1,-1,731977,-1,-1,-1,-1,-1,175191,-1,-1,-1,-1,-1,338371,-1,292307,-1,-1,-1,251942,-1,656199,-1,-1,565071,-1,-1,189639,-1,-1,-1,807475,-1,497849,-1,-1,-1,-1,-1,-1,-1,-1,-1,930531,41412,355652,-1,-1,961229,-1,-1,840469,-1,626045,869177,-1,-1,-1,-1,220616,-1,273475,-1,-1,382660,73349,-1,864208,416166,766391,519096,-1,426454,-1,775986,-1,112520,-1,-1,456185,-1,495110,-1,-1,763598,545440,953292,-1,-1,-1,921381,-1,7527,-1,-1,452988,-1,915590,70170,906593,-1,-1,-1,41029,-1,-1,744972,-1,117605,-1,-1,-1,963813,-1,-1,514101,553845,-1,974581,-1,977776,958689,-1,-1,-1,-1,-1,-1,236784,-1,218541,232938,-1,-1,560456,463303,453111,-1,696977,815128,-1,-1,733766,-1,-1,-1,-1,-1,487976,699395,-1,-1,751909,654827,-1,-1,-1,466664,-1,449770,65026,-1,-1,60178,-1,93837,849916,-1,-1,-1,-1,-1,782870,468495,-1,804459,-1,-1,-1,705320,-1,-1,215390,546928,-1,-1,-1,-1,-1,-1,503132,-1,-1,-1,959442,518713,259791,188510,57571,-1,-1,461509,31053,589067,-1,-1,-1,-1,667065,-1,32268,622785,961469,-1,-1,-1,-1,-1,-1,192604,226854,-1,365571,804075,-1,311680,-1,623419,521906,984203,-1,490819,682106,186332,55557,554473,743656,-1,845828,-1,760483,-1,553404,-1,-1,-1,-1,-1,12462,392444,-1,-1,10988,856403,115351,-1,32164,-1,-1,965037,316880,-1,-1,575989,-1,-1,-1,857840,-1,-1,-1,69176,-1,806886,375019,546892,-1,799501,-1,-1,-1,-1,310202,440761,-1,-1,235427,196818,-1,454503,59925,711909,-1,231519,-1,-1,-1,459155,782527,270556,866565,346464,-1,510875,-1,226158,907953,620778,-1,-1,-1,-1,-1,987447,796630,-1,964977,-1,724201,-1,125194,366075,777746,-1,-1,460213,-1,574298,-1,-1,699936,514356,300720,811775,409335,-1,490852,415953,-1,-1,397488,302189,44438,-1,736432,-1,-1,-1,476940,691093,788741,-1,-1,-1,969486,434625,675479,-1,-1,277798,-1,598626,-1,-1,-1,545633,903763,848617,512696,-1,-1,-1,-1,166051,315221,-1,-1,-1,-1,-1,-1,977686,-1,968615,483021,754212,-1,666665,511905,-1,-1,369755,-1,-1,-1,913018,-1,907521,-1,644427,-1,248425,-1,-1,869547,319628,953130,-1,804344,-1,-1,337534,-1,494341,132304,826817,395256,256684,-1,-1,-1,-1,905728,740544,893946,-1,-1,206018,-1,169552,-1,-1,82681,831069,441699,572090,-1,905125,-1,950458,386460,99307,395972,537635,-1,-1,259927,-1,-1,-1,852433,58180,938314,-1,-1,-1,293518,-1,-1,-1,-1,526813,174565,592043,-1,-1,445498,620512,421368,-1,-1,445127,458176,-1,321973,12529,-1,251790,-1,-1,29638,-1,552020,-1,-1,-1,-1,-1,408099,-1,905577,-1,990299,930239,251959,528752,556377,911629,-1,231199,568751,-1,11724,562106,-1,55151,995482,-1,-1,-1,-1,-1,-1,-1,-1,-1,760087,348038,897098,630684,13873,569237,783469,773173,292064,271473,205289,-1,742930,-1,-1,-1,237435,-1,253282,531432,739089,-1,-1,-1,-1,-1,598099,-1,618744,458298,661652,-1,984825,-1,172330,-1,-1,106960,373046,-1,-1,-1,194211,-1,-1,-1,-1,360350,-1,94399,888864,415311,-1,-1,-1,537997,6986,64193,260206,-1,-1,455613,-1,-1,886276,-1,9740,594646,524887,-1,-1,556506,-1,156594,255714,-1,562081,217742,-1,193565,989864,-1,-1,649676,64712,-1,-1,642658,-1,223019,-1,732219,-1,-1,-1,20002,830682,-1,-1,-1,988491,-1,-1,593541,-1,-1,-1,-1,-1,-1,-1,540237,109513,117945,419549,91602,285427,-1,-1,-1,-1,351248,19154,-1,-1,-1,-1,-1,-1,355112,939043,969055,-1,-1,371345,762341,424092,172697,-1,-1,-1,-1,-1,-1,75560,-1,354445,336401,-1,-1,-1,-1,640675,442754,427010,611904,657574,-1,-1,-1,986122,211302,98130,-1,445321,-1,614106,680779,-1,-1,661371,-1,-1,537919,-1,231278,-1,793527,-1,700852,-1,-1,-1,541922,-1,-1,257191,-1,-1,222058,-1,-1,-1,-1,291097,220599,160474,754391,876994,395008,983916,807913,636974,67700,505842,190603,-1,633462,-1,-1,-1,39078,-1,-1,289664,-1,682417,-1,967526,-1,213441,658970,-1,620802,726842,781300,-1,127781,-1,-1,48099,904826,896921,-1,81366,976257,-1,-1,-1,-1,-1,676981,-1,717829,282761,356990,-1,-1,-1,-1,-1,13069,-1,752192,-1,252296,376750,-1,122358,180993,-1,465525,-1,975316,-1,-1,302129,922569,252353,563713,661782,-1,740855,-1,-1,-1,-1,155472,287071,205548,-1,119253,408071,545597,189269,23049,-1,-1,538826,-1,404700,-1,848219,171984,294689,88994,-1,-1,-1,-1,-1,171090,377852,-1,583124,-1,-1,598271,-1,736189,468503,-1,-1,505522,-1,596930,-1,416245,-1,-1,243757,-1,-1,-1,19891,-1,-1,-1,299671,633053,-1,151541,539459,758747,382863,148267,-1,-1,620413,-1,-1,757263,110341,-1,-1,776844,-1,-1,311363,354905,978369,516265,705343,861208,-1,-1,105190,-1,-1,109946,-1,485391,-1,639356,-1,-1,508219,48498,11131,-1,596557,961007,214013,-1,-1,-1,254217,223897,244865,649263,-1,751776,-1,-1,17509,-1,695237,-1,-1,-1,616646,806255,-1,-1,-1,382027,-1,868266,717197,749022,692774,-1,-1,894113,-1,-1,478759,-1,-1,-1,-1,562944,382659,-1,547881,-1,411195,-1,-1,510212,32317,878559,-1,-1,-1,302192,391633,58792,942905,-1,342939,495130,-1,625603,-1,-1,870287,-1,-1,-1,-1,-1,-1,866145,-1,692094,374240,-1,-1,-1,562378,696578,-1,-1,-1,-1,-1,414060,413756,203404,143594,-1,371023,624969,-1,776017,-1,689316,866110,-1,817717,-1,-1,-1,-1,-1,97083,-1,-1,-1,209402,316437,187962,740364,-1,23575,462532,975327,-1,-1,567010,78101,138477,-1,-1,-1,652626,670938,196321,566489,636875,-1,214390,822327,702836,488763,-1,588162,149845,-1,-1,-1,746176,614227,619246,-1,-1,-1,-1,569580,-1,969964,-1,-1,-1,857017,208633,-1,501966,662947,109073,-1,221541,-1,106128,-1,-1,-1,-1,432991,954054,-1,707770,-1,-1,-1,888904,247113,993461,511396,589424,455509,-1,3149,82467,-1,142835,-1,788950,-1,548948,35292,-1,-1,-1,319563,-1,-1,-1,140527,-1,-1,-1,-1,505331,955344,-1,-1,75304,-1,165590,-1,253995,439532,636558,903411,236493,584445,689823,-1,-1,-1,369155,438893,-1,-1,-1,-1,487816,676889,-1,709305,-1,-1,984103,389425,-1,283309,-1,580841,-1,-1,401480,238591,-1,-1,-1,-1,761004,780112,-1,-1,641230,-1,-1,-1,-1,-1,-1,-1,211854,750216,-1,459554,-1,940691,742939,783549,91970,524637,788782,-1,-1,135789,-1,334235,-1,757317,934767,-1,764430,-1,-1,-1,734485,684869,133336,-1,-1,-1,157931,551983,838961,-1,-1,641903,301181,-1,-1,361246,-1,179488,978393,-1,-1,-1,-1,-1,-1,-1,762097,66361,-1,-1,312480,482868,645026,435028,539286,37010,-1,73964,-1,-1,-1,-1,122779,689304,704971,-1,-1,403874,871378,-1,-1,-1,-1,166377,-1,-1,615612,-1,-1,-1,-1,13538,-1,271681,274437,497794,853997,-1,-1,-1,5839,115950,-1,-1,331754,532155,-1,560498,-1,165634,-1,758446,-1,641524,-1,-1,593930,266852,178729,515027,-1,884230,-1,-1,-1,395240,-1,421513,-1,-1,-1,-1,-1,16965,-1,840449,595342,-1,-1,743686,809625,918100,306213,541679,979295,391554,-1,-1,-1,-1,-1,965087,-1,-1,-1,-1,-1,-1,476531,-1,-1,-1,273680,36968,170917,-1,-1,12083,301151,-1,-1,-1,-1,148745,-1,-1,-1,279191,266444,257609,-1,921519,-1,136128,-1,882945,-1,-1,367254,-1,243249,659263,248583,-1,500198,832534,-1,413294,667930,-1,364109,-1,469157,304301,790518,750019,-1,853207,773900,-1,387843,534870,-1,-1,-1,512112,325429,-1,-1,987512,869359,340966,-1,-1,149895,339061,238938,-1,598382,-1,-1,451459,-1,169467,-1,-1,-1,-1,689285,391581,431333,421064,877490,-1,-1,-1,-1,191940,139939,-1,-1,-1,-1,838091,598748,94131,-1,767003,-1,989457,-1,-1,-1,746172,-1,-1,-1,-1,-1,-1,227715,244394,875510,58408,355202,766437,525831,273137,469835,502429,43869,-1,-1,953815,595511,585214,704356,-1,-1,434749,803058,-1,-1,-1,259762,-1,-1,-1,-1,564948,-1,-1,-1,-1,-1,241486,-1,-1,-1,430671,-1,-1,-1,-1,-1,-1,164590,-1,-1,650955,-1,-1,354804,-1,854356,868953,-1,-1,738507,8438,-1,734214,-1,-1,-1,874737,-1,211041,831089,-1,677880,-1,265673,919751,-1,-1,367472,191612,684486,-1,120867,786218,-1,-1,628839,257561,-1,633848,-1,-1,-1,-1,-1,-1,179113,754096,-1,-1,483458,-1,-1,986962,55703,666615,-1,23250,-1,470894,-1,-1,562168,-1,351052,589663,-1,885719,28634,-1,-1,-1,943949,972582,372993,446386,-1,649109,75753,429994,215951,-1,-1,69350,-1,214575,978648,678205,471626,-1,680940,776917,-1,-1,-1,-1,972145,959381,-1,474946,-1,-1,-1,-1,-1,-1,812771,-1,553461,-1,-1,-1,-1,572271,-1,-1,-1,32171,-1,190493,740467,-1,49570,209131,729709,437555,-1,-1,-1,214917,215533,198793,272719,-1,343727,-1,-1,-1,356949,-1,538783,-1,278800,-1,-1,-1,688350,-1,-1,-1,130897,147016,289622,216274,710240,-1,-1,-1,634618,-1,-1,214819,463457,792237,-1,-1,906771,-1,-1,-1,-1,-1,732979,-1,215479,68843,-1,-1,-1,-1,-1,714563,21052,277595,-1,177778,-1,549016,-1,890589,-1,19095,-1,30815,174362,-1,691372,-1,-1,-1,857969,766484,-1,885426,911067,-1,327417,-1,519073,-1,860415,-1,508260,487367,-1,-1,813283,-1,-1,-1,-1,521370,817998,-1,-1,-1,-1,-1,787494,-1,345187,201987,-1,-1,968782,893120,-1,-1,920879,-1,368292,-1,745287,-1,-1,-1,-1,601644,-1,442877,297779,426022,-1,-1,-1,-1,69086,157611,-1,-1,-1,-1,-1,-1,-1,893059,-1,-1,-1,843520,-1,-1,472465,-1,698829,429361,259514,-1,655889,-1,109403,100605,383069,722498,-1,-1,530356,-1,-1,-1,256960,-1,-1,953392,-1,-1,143824,16585,-1,-1,-1,50129,954676,878500,491960,141519,-1,221495,549326,-1,-1,260968,922266,-1,-1,314468,894368,539582,36214,573345,689885,-1,-1,-1,527856,-1,-1,-1,-1,438569,280411,531096,-1,702946,-1,-1,63751,24354,634944,-1,435384,976173,-1,-1,684354,677992,897462,383227,177885,-1,842549,890302,460832,405884,-1,-1,-1,307619,972150,-1,14216,450122,-1,-1,-1,811419,517527,-1,-1,-1,49768,970017,801313,478622,-1,89484,-1,735733,-1,-1,-1,-1,672904,-1,-1,834869,937573,-1,172593,-1,-1,-1,912365,-1,-1,-1,-1,-1,224890,866637,-1,-1,-1,937938,-1,-1,-1,106935,-1,-1,402933,-1,-1,-1,596529,365189,778191,261199,57590,853427,184483,312610,390244,639456,100399,907073,258064,-1,-1,154194,-1,-1,654970,-1,318760,258162,548962,-1,-1,674351,-1,-1,-1,765586,159524,-1,423980,-1,-1,-1,-1,-1,-1,306793,-1,700024,-1,-1,483925,907353,699280,-1,-1,886420,-1,-1,263091,-1,299309,640752,78775,-1,51211,-1,-1,-1,977616,239918,261394,-1,143320,-1,-1,775917,708345,-1,-1,424163,-1,-1,-1,-1,339644,779352,919824,968128,183101,70752,-1,856757,-1,98351,-1,264297,84342,357635,568874,-1,-1,-1,-1,-1,381499,-1,913598,-1,252697,519385,520998,-1,443732,-1,908936,946140,318906,842420,-1,-1,-1,-1,-1,-1,-1,639897,279619,-1,-1,938450,847725,308337,-1,136280,841178,284367,-1,885153,78017,-1,-1,-1,549487,-1,79163,-1,-1,-1,-1,773957,-1,257051,264420,-1,489085,-1,-1,465583,799346,558773,-1,350664,-1,370023,579966,337355,872893,832581,193841,140344,274291,-1,655471,685666,-1,-1,724629,-1,-1,-1,735136,81506,-1,-1,495487,734255,-1,-1,-1,836135,774718,381852,44983,151516,-1,825296,-1,-1,464945,939610,52461,301688,-1,-1,155129,-1,277630,542524,902966,-1,-1,-1,-1,454973,-1,-1,406041,623838,214360,-1,-1,18320,67068,443844,-1,-1,65007,752839,-1,-1,481411,835235,-1,-1,-1,783042,-1,-1,656278,-1,-1,474764,-1,-1,169461,791400,-1,-1,-1,-1,778139,-1,-1,79858,641383,-1,444603,897932,-1,825183,6990,286832,285060,-1,285402,386305,-1,-1,977766,735280,-1,-1,-1,-1,-1,-1,-1,-1,-1,366872,329281,836185,687192,-1,-1,523377,-1,-1,503904,-1,224123,659344,-1,56770,905718,-1,-1,804569,451241,967903,163332,-1,-1,252891,-1,624316,357254,-1,-1,83907,-1,739315,-1,88847,-1,87198,758331,-1,-1,266154,-1,143470,849276,5308,237627,860355,-1,592686,-1,-1,-1,589764,-1,499178,331722,-1,763864,242507,-1,-1,-1,717730,-1,314204,-1,180398,735590,516718,-1,889401,402540,-1,607378,103254,-1,361517,740267,994183,-1,378457,-1,539457,-1,-1,762429,782261,290679,637805,759942,-1,901766,-1,-1,806468,193498,-1,-1,188279,602776,142019,-1,-1,773530,382567,650988,756268,353115,913836,998395,891535,733578,-1,724802,225569,614550,-1,-1,-1,314221,-1,117628,985204,-1,-1,658675,-1,950745,-1,766812,11130,-1,-1,329886,310847,537792,94761,314466,899790,246487,-1,161898,771929,230771,-1,276749,374309,-1,-1,-1,673220,683610,411472,-1,228304,966540,-1,167322,-1,-1,-1,977284,324170,322387,-1,137483,924184,758243,-1,-1,-1,154530,-1,360205,-1,509068,970825,-1,793255,717406,859624,-1,-1,67455,489189,-1,-1,972236,-1,165217,915148,758210,-1,-1,-1,552260,-1,-1,-1,-1,823238,-1,-1,905859,-1,-1,47666,-1,389098,-1,-1,845910,-1,-1,-1,-1,-1,-1,-1,-1,732462,688307,-1,-1,671456,-1,-1,105461,885269,-1,70618,636330,-1,279528,74656,-1,388823,748484,-1,-1,552818,-1,-1,-1,-1,-1,-1,-1,-1,-1,972702,466087,105667,-1,466679,81902,-1,119079,405080,-1,-1,-1,457368,787181,700899,332753,902784,-1,235435,788918,225512,2386,-1,920870,571692,756997,-1,629554,-1,-1,91332,-1,-1,600510,-1,-1,-1,949765,-1,-1,-1,-1,687589,-1,9141,-1,-1,720572,297086,-1,712281,-1,82330,66583,-1,-1,-1,-1,926245,550237,-1,351980,471820,47450,-1,-1,-1,813953,587620,-1,574423,-1,-1,-1,13518,971949,-1,124769,646501,480230,-1,616517,-1,-1,-1,-1,773618,-1,495638,730216,-1,-1,6830,227100,235263,556835,531780,442795,-1,-1,419351,-1,966096,937087,-1,-1,-1,833895,-1,-1,-1,-1,-1,-1,-1,317841,-1,487937,371417,971028,-1,948084,876745,766078,-1,60167,16312,-1,-1,-1,-1,286810,240976,384676,-1,-1,-1,84794,-1,94070,-1,967138,-1,-1,387992,281893,-1,-1,-1,-1,-1,-1,-1,-1,489862,312488,-1,112821,900381,-1,214240,-1,-1,-1,-1,440776,36983,110340,-1,993219,622322,-1,423864,886259,722821,48261,655915,797260,-1,615299,-1,-1,-1,719773,581667,-1,-1,821368,731808,-1,-1,591018,901550,547117,813909,-1,57308,-1,-1,175730,-1,-1,793852,475195,-1,782865,885556,875772,64199,947120,-1,336195,347610,-1,-1,-1,435257,-1,558244,400657,461137,-1,-1,-1,51314,-1,260876,-1,163815,502205,55621,-1,779029,77221,-1,135930,-1,-1,-1,45078,-1,540949,-1,-1,-1,-1,-1,877919,-1,696075,-1,242496,911287,-1,-1,600493,47038,-1,-1,710677,-1,-1,-1,920206,260859,331019,-1,460642,532771,517318,617799,-1,730648,258600,-1,260681,-1,313178,473554,94443,-1,-1,473453,-1,491796,385905,-1,265427,-1,-1,-1,-1,170597,461292,-1,-1,959846,184110,-1,533687,-1,-1,-1,-1,-1,19482,531653,-1,-1,904956,-1,-1,-1,554872,374656,794587,-1,539133,-1,-1,-1,100893,543318,865089,-1,-1,802260,862809,54645,347131,-1,-1,-1,-1,-1,328567,989637,21948,997701,-1,497062,747588,57294,463105,389010,-1,490967,-1,-1,-1,-1,906758,266045,159358,-1,902374,658317,-1,555167,-1,881915,-1,-1,866849,367712,-1,487708,-1,-1,94432,-1,-1,259169,589930,-1,-1,508886,-1,-1,-1,675024,-1,-1,-1,327475,107506,-1,-1,-1,433079,-1,-1,-1,429376,292347,56995,101749,907415,-1,314538,-1,-1,-1,-1,-1,-1,-1,-1,-1,944472,803796,-1,349027,7373,-1,-1,263958,-1,-1,-1,-1,-1,-1,-1,-1,-1,49751,662181,551582,-1,462960,505488,763043,328293,24939,980526,946640,738762,-1,791418,-1,49390,-1,20766,127893,-1,641103,793867,756742,-1,22331,704453,-1,-1,-1,-1,902678,217675,86733,-1,-1,-1,499732,623496,9804,-1,-1,246828,864857,-1,-1,-1,-1,230514,428182,688177,-1,132483,562652,-1,-1,-1,195543,961610,-1,611631,414139,-1,-1,-1,-1,-1,695381,-1,670535,-1,-1,-1,-1,-1,394527,-1,-1,298866,-1,-1,77716,866674,144248,-1,929906,976663,106741,-1,911992,248568,276181,-1,-1,-1,-1,-1,-1,842656,-1,-1,265863,404579,679050,-1,-1,864836,-1,-1,879322,723745,431871,278180,-1,8369,11635,639865,-1,363306,224142,-1,-1,-1,-1,768229,-1,-1,533996,-1,-1,973566,645570,537315,-1,836994,227785,-1,793147,-1,27341,160110,362471,559645,-1,-1,-1,-1,-1,817207,-1,-1,-1,574250,169019,-1,64671,615056,9103,-1,848562,51060,-1,301371,969959,114342,-1,-1,531585,283045,-1,615681,510507,-1,-1,-1,154454,-1,504875,-1,488932,781533,-1,-1,-1,-1,60403,317671,-1,148373,989246,-1,-1,649718,821019,969559,-1,376768,897374,210772,493917,-1,905248,69309,505080,391541,-1,-1,-1,-1,-1,260723,48427,959923,-1,830190,737977,560085,902116,979015,-1,-1,-1,-1,-1,975753,102223,-1,-1,-1,722242,804315,626139,-1,853400,547152,975084,56859,-1,622278,-1,-1,503306,-1,-1,256928,-1,-1,-1,-1,-1,-1,-1,525230,177213,-1,202650,39140,617539,132056,385676,-1,-1,971496,-1,-1,628034,738211,639095,-1,579571,295548,-1,134106,-1,940754,-1,25512,616136,-1,377577,201504,376856,-1,657424,358691,730764,596251,-1,267832,530986,977453,135407,-1,223200,-1,652275,-1,61288,-1,7022,-1,125884,405784,-1,-1,578614,-1,-1,167736,476281,-1,907855,-1,373642,-1,-1,-1,-1,763212,-1,-1,310736,467723,746787,-1,615259,-1,370378,-1,-1,-1,-1,240765,251734,-1,-1,-1,-1,856911,608957,-1,910048,-1,999220,-1,920515,-1,539807,825698,278778,-1,-1,-1,-1,541712,-1,-1,-1,825038,-1,702315,-1,555577,-1,594229,926414,-1,-1,-1,261998,-1,765447,336167,-1,-1,730976,298938,718564,-1,703854,-1,-1,148284,91905,-1,856223,-1,-1,-1,-1,64437,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,388897,-1,-1,892220,-1,-1,978688,-1,-1,250097,568734,409306,740861,340643,323673,-1,857464,-1,562892,740119,-1,795485,316747,845749,970263,782438,-1,-1,574119,843474,663601,-1,696571,274331,-1,-1,-1,573760,612964,874945,518070,-1,-1,-1,-1,674649,-1,-1,-1,-1,885343,711552,810339,-1,655468,-1,288796,-1,571329,450341,-1,-1,344384,812194,-1,957377,-1,90308,-1,-1,319910,222549,198860,544545,-1,-1,-1,932574,546973,-1,-1,339050,-1,-1,516520,386004,139197,425126,536213,-1,712029,-1,-1,482306,893158,380959,457776,-1,-1,-1,786203,356568,562318,-1,762253,-1,-1,-1,-1,-1,369865,52354,-1,900700,-1,-1,-1,864597,949577,-1,-1,279187,-1,-1,-1,-1,-1,-1,-1,-1,908200,580746,190833,-1,-1,-1,-1,795976,647131,-1,-1,296763,-1,786465,201635,702521,29550,-1,-1,-1,-1,-1,-1,429219,398473,-1,-1,419345,-1,217791,-1,-1,25640,450543,-1,146956,-1,62455,889054,52221,-1,-1,-1,602105,291458,-1,-1,-1,264125,727299,221241,-1,-1,-1,715343,-1,-1,398497,592563,-1,-1,652243,835776,-1,347443,-1,-1,-1,-1,506944,-1,237374,696023,-1,112984,-1,552779,460973,450354,-1,648083,-1,699676,-1,-1,-1,-1,85350,-1,458495,239938,436336,-1,507164,406849,370611,973406,842275,822441,202519,-1,-1,940298,894295,-1,74473,529214,358268,-1,-1,-1,412743,-1,272033,343702,102188,950378,705311,-1,735099,-1,311429,831255,-1,-1,996289,189643,-1,325378,545195,393760,-1,-1,24342,481521,909735,522955,406494,-1,585528,-1,342957,-1,142420,317642,804131,-1,-1,-1,-1,-1,175542,-1,233444,-1,-1,44636,997755,-1,-1,-1,-1,-1,891408,-1,-1,-1,305338,661729,251471,784558,292730,-1,-1,-1,-1,289088,-1,766543,-1,376705,-1,-1,-1,752479,-1,-1,-1,664274,-1,-1,-1,912411,-1,-1,-1,836680,-1,358060,-1,-1,612494,-1,-1,-1,143645,-1,146994,434719,892900,-1,283493,536989,-1,799612,-1,-1,-1,420826,158533,222521,-1,-1,-1,598739,744266,-1,960918,984401,-1,623084,301710,134392,296247,-1,653982,527325,437062,384624,601194,882560,720655,696637,-1,-1,989829,-1,313943,-1,-1,-1,-1,-1,-1,-1,379774,683760,-1,643529,869169,-1,542835,456777,-1,-1,460399,-1,-1,-1,845905,-1,-1,642732,919324,880008,-1,550550,829785,921472,-1,-1,-1,209848,-1,-1,-1,684897,236688,17463,-1,-1,-1,829579,-1,81527,-1,451643,-1,-1,-1,670754,-1,-1,-1,-1,-1,-1,965920,970071,948481,-1,721529,-1,-1,-1,332016,-1,-1,-1,-1,-1,649083,-1,-1,-1,897482,313720,-1,-1,859797,930322,-1,-1,-1,71212,717486,830479,233287,-1,-1,-1,489799,126414,-1,235360,-1,-1,-1,-1,321136,-1,-1,379439,385774,-1,-1,867983,-1,-1,-1,430769,-1,-1,-1,-1,-1,-1,-1,449961,365387,308388,527366,503550,416838,83929,-1,-1,495181,-1,655189,488124,-1,-1,-1,-1,730527,-1,-1,992128,363780,215825,-1,279432,642301,408268,-1,-1,-1,-1,-1,6132,364523,-1,-1,586673,-1,-1,-1,-1,664311,-1,-1,574155,223889,266407,222784,-1,101276,-1,150306,-1,403890,-1,217293,614680,224389,-1,828904,-1,-1,-1,889585,-1,248559,-1,252932,878998,679368,-1,988178,-1,-1,700081,-1,790899,-1,-1,-1,814984,-1,-1,-1,-1,-1,-1,-1,-1,735963,-1,852815,725035,18871,-1,84397,245159,741579,521871,35516,642233,641543,375400,-1,238081,481765,267320,641179,667099,-1,789215,390075,118819,-1,278293,-1,-1,-1,796854,669087,98243,739323,-1,591433,778145,454969,174666,-1,-1,484957,368433,188530,454400,-1,416645,482791,-1,808618,-1,-1,-1,-1,-1,239535,-1,-1,-1,80893,-1,769088,242806,-1,-1,-1,-1,515445,-1,837603,606977,-1,-1,326969,-1,-1,675802,693048,877158,164511,648377,-1,-1,51838,-1,198904,523791,133556,-1,-1,-1,630655,-1,-1,-1,382605,268683,618539,309013,412802,-1,-1,38400,452601,756611,369326,-1,971972,520598,902331,865830,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,387975,-1,91817,-1,-1,-1,868654,708608,-1,-1,579498,-1,-1,-1,-1,-1,-1,-1,253488,-1,564183,-1,-1,669117,-1,-1,-1,-1,837648,-1,-1,-1,986479,955909,-1,-1,-1,-1,584240,-1,933368,692552,406396,-1,3526,-1,706003,-1,735656,-1,-1,347400,-1,206144,565368,961086,-1,-1,314324,386897,878832,-1,-1,669426,72963,-1,494834,-1,228073,674853,-1,-1,101076,770866,-1,337120,664858,-1,823016,298099,-1,36423,-1,444590,904095,-1,376612,-1,-1,579234,90019,-1,-1,660105,-1,269354,-1,-1,-1,-1,-1,267638,958494,-1,-1,-1,-1,306006,-1,-1,-1,-1,-1,708787,605971,972941,218923,983559,88096,951303,-1,957360,-1,-1,752500,-1,-1,682626,677584,-1,411634,-1,53613,-1,848608,749346,-1,-1,405424,469855,-1,696861,646481,-1,-1,987591,-1,-1,-1,-1,-1,-1,330767,307075,-1,264814,337012,810449,-1,-1,-1,-1,693158,-1,941749,747073,53278,-1,-1,-1,942361,587441,-1,482375,146505,-1,461933,764916,178503,-1,-1,-1,303963,-1,-1,-1,528818,-1,-1,-1,825864,776342,352422,494379,-1,424588,-1,-1,627011,813995,-1,831288,-1,-1,794421,-1,-1,-1,-1,601887,178718,331119,-1,530660,-1,683421,-1,896100,333823,769759,-1,-1,-1,603965,527570,257246,804142,-1,869538,552478,-1,-1,784832,614353,508784,-1,-1,-1,630918,433868,-1,-1,-1,-1,805552,580852,-1,283880,457503,-1,538761,-1,57689,-1,465723,-1,701718,-1,-1,-1,-1,-1,-1,756565,-1,859998,827823,-1,798830,-1,-1,-1,868357,657460,-1,254120,-1,-1,-1,501554,-1,698539,-1,16379,947785,733125,757567,-1,446965,855996,-1,-1,-1,113325,82311,-1,378226,919814,-1,-1,130633,814201,-1,890808,399368,451799,479035,-1,91577,-1,-1,-1,874644,43922,593566,-1,-1,808319,-1,-1,881667,-1,-1,421296,-1,-1,-1,-1,-1,179589,87779,-1,127473,415416,817007,-1,505993,395517,460824,-1,99263,-1,937777,463117,-1,-1,-1,-1,-1,-1,179342,-1,-1,152306,-1,317253,-1,401031,619743,141406,-1,-1,148261,-1,-1,406137,716955,142955,-1,694665,-1,42355,-1,786345,-1,-1,500509,720321,541406,-1,-1,811523,-1,905674,137321,-1,955872,395783,-1,-1,868539,-1,-1,909194,-1,-1,701500,-1,682843,-1,732154,-1,740641,973479,-1,156162,-1,-1,482191,394875,-1,-1,654370,112234,308820,316921,868514,-1,356940,-1,573920,605605,374000,-1,-1,57179,670991,60744,741822,-1,813329,-1,549456,-1,745060,759415,-1,-1,-1,519574,-1,623993,586472,-1,210520,941899,228172,648055,401954,474958,501223,291289,617750,836265,-1,126564,-1,-1,-1,657375,-1,806399,-1,-1,-1,-1,476264,-1,932127,-1,-1,463048,-1,727334,-1,-1,-1,-1,-1,947191,-1,56074,247990,-1,809454,-1,849950,-1,-1,-1,158150,386615,-1,225434,-1,-1,331105,-1,-1,33509,380548,609025,-1,-1,70629,-1,-1,-1,-1,888460,-1,495735,-1,-1,-1,782306,996736,767965,830478,946149,35786,-1,-1,300401,985340,-1,881086,133262,-1,521564,-1,270714,-1,-1,488425,743454,886720,-1,-1,-1,663265,214359,284914,900345,823971,215163,-1,329078,-1,644726,-1,626028,-1,612197,296601,475308,-1,315424,115458,-1,-1,951852,265953,461076,-1,-1,-1,163371,-1,907670,956344,547826,252308,-1,-1,868835,-1,865477,53321,-1,447090,-1,553398,990569,890141,-1,-1,-1,954947,445420,299300,-1,467151,300014,-1,-1,-1,774365,679669,457618,382075,-1,34615,-1,823999,677593,-1,-1,-1,453145,-1,-1,829165,-1,249933,-1,164923,-1,-1,-1,-1,805149,791294,-1,-1,266625,-1,529736,-1,953072,240502,256828,-1,-1,127042,-1,-1,-1,822133,762277,-1,461943,-1,-1,-1,-1,-1,-1,870434,627542,-1,87457,-1,-1,-1,-1,-1,632946,-1,-1,-1,759797,158443,739226,330963,-1,700573,641031,-1,-1,-1,407757,-1,-1,-1,567855,348123,642740,-1,-1,781441,-1,-1,-1,-1,-1,-1,490509,85092,-1,922515,707652,-1,-1,-1,-1,-1,382234,-1,552657,-1,563421,246984,597128,-1,457356,-1,-1,330507,-1,-1,-1,-1,799829,-1,123100,-1,37287,-1,89557,-1,492574,672044,245402,192536,754917,184947,93404,-1,726978,-1,-1,659499,-1,418372,800642,51932,325297,607032,657632,-1,-1,824155,-1,-1,425870,791035,-1,674942,228677,997484,675151,-1,-1,-1,158384,-1,899456,-1,334126,-1,61858,378203,-1,609049,964196,-1,306731,-1,933347,482372,-1,582575,489286,-1,384630,236813,-1,200900,-1,-1,777540,-1,291375,-1,-1,-1,468438,981402,940555,-1,506768,-1,986322,366945,691876,132845,-1,310358,-1,249356,-1,-1,65206,105636,128865,131140,96941,-1,608215,-1,-1,-1,232312,553349,185811,212525,-1,200587,82391,62514,172510,-1,-1,721871,522301,-1,-1,-1,235717,340068,462822,-1,174048,344235,319892,-1,-1,914311,-1,-1,953069,-1,781258,543907,-1,389365,731374,415930,-1,121715,59152,-1,307205,-1,-1,-1,-1,634786,913620,-1,-1,822437,-1,488002,-1,700080,-1,311624,-1,713064,607867,-1,-1,611463,-1,-1,-1,-1,479963,371676,-1,-1,931154,953527,836809,-1,-1,674511,-1,919139,-1,33463,-1,906275,907672,-1,742394,-1,335958,-1,277298,-1,66964,925555,992365,-1,430907,-1,551707,775795,248895,571145,-1,-1,-1,556217,-1,-1,-1,-1,188486,668879,645937,-1,-1,-1,-1,-1,948630,340596,793742,-1,-1,994683,966241,-1,753981,821493,-1,-1,-1,982448,812287,975066,-1,439064,-1,-1,-1,61445,904792,-1,837685,-1,834756,109919,727903,-1,-1,317421,-1,385096,39729,773605,466368,-1,-1,201215,281190,-1,360956,-1,719589,484654,-1,-1,967914,-1,-1,-1,77403,153004,-1,-1,-1,700772,-1,50547,589585,181780,-1,-1,432439,-1,389533,622319,-1,342398,363052,398104,324586,-1,-1,984128,825415,-1,-1,-1,-1,238412,-1,191480,592357,526329,960239,-1,913763,300195,-1,-1,98055,-1,935049,366541,478481,135070,932607,-1,512808,-1,725410,390982,-1,507871,276484,-1,-1,294009,-1,-1,785260,-1,-1,-1,-1,296097,615414,-1,945022,-1,-1,565475,662014,714611,-1,938238,-1,-1,877108,519984,-1,760723,-1,-1,-1,844184,769792,-1,-1,263864,-1,-1,906962,-1,-1,-1,667076,920085,-1,695907,-1,-1,-1,-1,731552,-1,681377,-1,89091,197351,-1,276202,943753,-1,-1,-1,390443,422722,-1,773868,-1,-1,851295,41710,-1,-1,-1,-1,-1,-1,-1,333948,-1,615584,-1,-1,150037,459434,926123,-1,319867,-1,-1,634921,-1,317684,227346,246058,77119,-1,851493,487611,534171,507996,995937,737310,347406,-1,-1,473734,39490,842696,-1,-1,252734,998084,570437,-1,-1,-1,620816,11033,-1,-1,-1,-1,886038,379702,699214,-1,409783,767661,757747,767868,-1,489599,27267,686892,264376,-1,235485,527772,-1,646520,-1,267018,509368,-1,342916,738501,494873,-1,-1,-1,-1,-1,-1,536115,140459,73415,839470,364903,-1,-1,-1,959466,103740,-1,491585,300206,353689,221476,557782,538271,-1,-1,-1,-1,157685,676200,497965,662052,901006,-1,-1,298987,-1,930256,143365,-1,-1,800445,-1,675358,-1,-1,-1,366414,-1,-1,33054,163954,189370,316226,454219,636647,-1,-1,-1,-1,-1,-1,818619,-1,-1,-1,477727,-1,220121,183036,-1,-1,103274,-1,-1,-1,571732,-1,462486,479352,438622,-1,-1,-1,-1,-1,-1,-1,741076,-1,939663,541539,-1,-1,-1,-1,-1,-1,143646,685222,679854,284846,713828,-1,-1,354443,-1,201841,-1,-1,-1,566579,-1,-1,565082,80919,-1,-1,-1,9333,198558,-1,-1,67417,520010,66843,373771,-1,431647,-1,-1,969734,-1,-1,584264,679771,22721,-1,838520,103760,-1,524839,-1,-1,-1,-1,-1,-1,-1,350130,149605,433475,-1,-1,123053,789661,524452,582928,-1,-1,499645,740464,-1,619577,866814,531409,215766,990331,-1,959006,-1,-1,838950,211583,-1,-1,-1,-1,292292,289675,378470,-1,-1,810174,803927,-1,927863,36699,539868,-1,924122,-1,-1,824604,629745,-1,-1,289604,-1,-1,711594,-1,817189,-1,-1,879659,-1,-1,-1,233785,743340,-1,-1,504963,-1,-1,-1,-1,338981,83304,-1,-1,68574,492041,-1,-1,-1,990320,-1,642704,673122,639402,-1,-1,883685,-1,127853,931966,-1,262127,333433,181955,-1,-1,-1,-1,-1,845893,-1,-1,292921,-1,-1,-1,902959,-1,-1,-1,-1,814616,692334,854587,539095,755329,-1,-1,-1,-1,368001,340475,-1,-1,-1,956656,-1,-1,-1,-1,-1,-1,241080,-1,-1,462900,895574,475962,-1,-1,804342,830811,-1,-1,614896,950958,142589,367778,6031,-1,393577,-1,-1,915514,331070,-1,-1,-1,942384,-1,458597,725651,-1,47435,636956,157309,-1,953862,-1,339056,429160,-1,-1,36589,487040,597415,62599,382666,579716,-1,-1,-1,-1,-1,-1,-1,177308,62250,-1,-1,124379,-1,-1,627074,678362,843478,520523,-1,-1,929343,-1,-1,-1,-1,-1,-1,494166,801676,333523,446794,-1,-1,606079,-1,190649,806074,-1,-1,-1,917284,-1,997967,-1,263053,19130,688544,-1,-1,-1,969118,-1,-1,-1,822537,-1,326349,978973,440593,327323,846021,960353,-1,-1,615884,318308,704255,-1,583988,-1,-1,114503,-1,-1,302006,-1,734843,478562,215178,-1,-1,723522,489779,33148,812879,-1,414234,336556,-1,-1,-1,18398,249200,-1,134350,-1,225275,-1,-1,-1,-1,121242,23596,991712,458975,-1,-1,944121,-1,-1,-1,-1,-1,710427,-1,-1,861528,-1,681523,-1,-1,945820,294023,-1,-1,433136,621824,-1,-1,298439,653635,-1,-1,572504,-1,-1,-1,-1,-1,11737,442131,-1,168156,-1,342743,409155,-1,257775,307478,-1,509255,-1,-1,-1,18296,-1,-1,-1,-1,-1,939399,490087,-1,465395,673889,697884,743352,292448,621543,-1,-1,-1,-1,-1,-1,-1,955426,218709,650301,-1,-1,-1,-1,-1,-1,-1,155130,423413,-1,-1,-1,-1,76680,-1,615577,-1,927761,-1,189932,-1,-1,-1,858147,519944,-1,625599,113123,633421,-1,-1,541575,388569,-1,399698,752509,-1,327945,217286,905143,487525,-1,726789,356665,651314,-1,-1,-1,-1,-1,-1,820361,-1,211954,-1,948218,686984,-1,-1,646195,298805,-1,-1,56710,-1,976097,531845,-1,-1,457565,-1,-1,619136,157805,-1,479832,96889,677513,376111,503792,726601,312214,-1,-1,800266,-1,917301,-1,978129,262921,174398,880861,-1,71474,238547,189400,-1,-1,333569,700105,-1,-1,-1,104925,-1,-1,-1,-1,368052,-1,-1,-1,442352,349661,927964,469361,978374,134806,16493,196805,-1,-1,-1,198919,159819,-1,452217,964705,-1,958199,997980,-1,-1,-1,582230,753375,154574,-1,247405,657779,335910,546520,-1,-1,947983,-1,20999,433137,471175,-1,60297,-1,914073,-1,-1,208952,-1,-1,-1,-1,173166,643206,462866,-1,983412,-1,43278,11283,-1,771016,495826,-1,-1,-1,795431,692158,801989,645270,906815,-1,-1,-1,-1,-1,-1,881143,-1,233981,-1,-1,-1,604937,-1,-1,979983,531948,684649,954031,312012,-1,125831,517045,903826,933402,521418,553916,123810,-1,792763,-1,497614,176471,904,-1,-1,667627,-1,450551,-1,-1,-1,-1,-1,576178,-1,32677,865159,-1,829533,-1,634579,-1,-1,-1,-1,-1,-1,272311,-1,-1,-1,-1,-1,387276,-1,-1,149076,968130,941342,-1,-1,-1,-1,-1,-1,227600,185427,-1,691257,313695,-1,139582,-1,-1,506264,-1,-1,-1,925483,-1,45094,-1,86178,578437,924904,-1,-1,-1,510006,-1,346498,-1,-1,162513,-1,-1,-1,935662,451502,-1,479465,622999,-1,814613,-1,682693,-1,758311,-1,886014,-1,-1,-1,814398,-1,642824,210903,-1,-1,-1,93275,655499,44220,857975,-1,857106,-1,668111,998477,-1,-1,-1,-1,-1,963472,-1,-1,905678,-1,-1,69368,307382,478907,334407,748922,287595,-1,851494,970042,214851,-1,-1,861991,59516,684007,834372,-1,203835,826926,-1,-1,-1,972361,554126,-1,926046,-1,813621,-1,424229,-1,528438,621700,-1,254853,119219,-1,-1,401134,953871,866031,446502,-1,-1,-1,642049,-1,-1,-1,-1,-1,-1,-1,-1,58325,-1,333514,364672,133144,-1,793405,-1,-1,705003,-1,964757,564866,715811,-1,335863,-1,606987,-1,21488,622821,-1,751014,688311,-1,-1,143201,111880,694567,711751,330919,-1,118897,114892,-1,444031,169855,-1,638776,822107,253595,707548,-1,-1,-1,745677,-1,966828,-1,-1,-1,-1,396528,565744,897613,-1,41603,381184,641091,-1,-1,764026,-1,1891,484028,69540,-1,585033,546510,-1,841732,750668,-1,-1,-1,648741,-1,838052,-1,433911,452696,684630,407012,136666,-1,-1,793027,-1,574083,316315,-1,992006,979328,-1,-1,-1,-1,162085,-1,742915,-1,862981,591982,144043,-1,49384,-1,407075,-1,-1,936831,-1,-1,5195,-1,-1,-1,121470,-1,-1,75018,646364,854129,-1,590309,-1,426552,-1,490029,-1,-1,-1,-1,-1,-1,-1,460075,880624,-1,-1,-1,601663,-1,-1,-1,213990,90097,-1,778724,825234,-1,-1,925087,-1,-1,-1,-1,-1,-1,-1,651823,189531,685411,-1,616387,-1,23135,138765,-1,71593,-1,-1,619065,524425,-1,407726,783179,525787,-1,260704,895412,140928,-1,645904,512310,-1,265893,881923,-1,302151,1931,560205,230828,-1,858238,-1,-1,-1,-1,862111,965289,333124,-1,-1,-1,935472,661202,768514,-1,-1,-1,641394,832774,-1,-1,980203,-1,-1,-1,-1,-1,589129,-1,-1,654637,514474,77571,588259,927955,-1,143408,-1,-1,115185,-1,721253,-1,678868,-1,-1,807355,-1,-1,-1,-1,-1,-1,291884,-1,966945,-1,582964,466119,-1,-1,126506,122128,-1,805589,862086,-1,-1,232586,39647,26960,494342,591062,-1,-1,673915,194805,-1,-1,-1,-1,412485,-1,699932,494076,-1,-1,-1,943881,-1,-1,-1,-1,897963,131538,6049,-1,568404,-1,648149,-1,-1,-1,-1,704748,-1,-1,-1,427703,15873,66961,833080,-1,42395,175218,571362,316914,18954,925042,-1,267428,363621,-1,500947,-1,-1,429616,-1,894466,972115,871407,-1,990878,-1,129057,-1,347594,-1,-1,120286,998379,232917,-1,-1,-1,752780,364170,225197,550445,445091,-1,670735,737405,-1,476075,869257,-1,37898,-1,659242,-1,-1,463114,-1,-1,290477,651542,502881,-1,785838,91188,706708,-1,-1,-1,-1,-1,238210,-1,686968,220373,131580,907865,-1,-1,196443,453074,747277,-1,61614,222973,535585,-1,535274,-1,-1,-1,-1,-1,113056,44108,658166,-1,58983,382118,205400,525222,489362,532784,-1,-1,877694,-1,700669,-1,-1,-1,145010,74488,968192,304273,-1,554760,532029,110096,-1,-1,-1,-1,-1,656035,486969,-1,597333,-1,-1,459018,-1,447564,-1,367226,433654,-1,-1,873728,-1,-1,-1,-1,542220,677536,-1,-1,-1,354649,877711,-1,-1,-1,238552,-1,946311,46207,190963,-1,534349,-1,-1,870158,645729,-1,-1,-1,-1,-1,963829,-1,-1,-1,-1,785035,449502,-1,-1,932336,626478,-1,441521,325831,-1,819446,-1,697423,108201,302081,213492,653917,-1,-1,420178,52853,-1,23465,356206,631018,-1,-1,-1,-1,493069,147554,-1,-1,-1,131440,-1,310738,918445,378794,-1,348470,439728,949803,-1,635943,-1,-1,-1,183371,-1,444916,315627,-1,188352,-1,690217,-1,400562,427457,630387,777294,-1,760985,264871,-1,389485,-1,-1,292104,-1,71235,-1,-1,66142,316080,-1,360715,-1,936618,-1,515218,-1,721109,-1,286586,504371,-1,626988,114107,-1,-1,-1,-1,-1,-1,-1,406888,-1,101720,-1,-1,-1,-1,818960,-1,579442,-1,-1,-1,862565,973465,-1,-1,-1,205740,995992,289533,-1,-1,-1,-1,588156,268874,-1,-1,616525,756854,232607,814401,56902,-1,-1,508428,-1,-1,580469,-1,-1,-1,-1,-1,100900,85910,200821,-1,-1,-1,430634,-1,881100,133630,-1,-1,-1,379459,83609,716362,67971,-1,-1,-1,286658,515635,-1,630199,-1,276595,667969,951781,271494,368004,249267,-1,-1,774083,-1,-1,-1,-1,825818,369394,-1,609717,198639,-1,-1,-1,-1,877835,233895,-1,-1,-1,-1,-1,148162,274242,315732,13522,-1,842473,-1,-1,675028,-1,909477,297301,662114,-1,-1,-1,-1,568254,-1,5318,-1,225474,904892,15446,318069,-1,-1,730068,958769,-1,763323,370199,6845,66045,754355,-1,285293,-1,693944,862956,386339,-1,919018,227028,-1,833402,-1,-1,-1,55751,887248,493937,-1,-1,-1,-1,565175,-1,561126,308890,-1,-1,-1,-1,-1,198845,-1,644754,762707,610458,344715,360065,638606,964452,481823,313547,-1,779968,-1,31670,-1,-1,675510,-1,156796,733599,35870,-1,-1,288148,-1,11617,-1,-1,271067,660808,-1,68181,-1,-1,2045,-1,-1,-1,-1,933678,-1,-1,-1,700176,686281,390792,454325,864227,446269,-1,76380,478623,621291,129197,-1,-1,677064,-1,-1,-1,47999,542908,334548,891377,380853,-1,-1,-1,238359,-1,474711,746822,977163,203066,18208,-1,-1,-1,-1,194909,338352,-1,104816,-1,-1,540512,-1,598915,-1,361034,671852,788770,336044,-1,-1,93220,636254,-1,84587,-1,-1,477855,-1,318185,953441,959057,816890,-1,-1,19572,-1,853139,-1,-1,-1,-1,-1,853783,579580,645114,-1,-1,-1,-1,-1,836843,-1,-1,509820,792681,72266,430876,238652,-1,-1,670433,-1,-1,-1,-1,-1,-1,-1,162784,407845,13470,326399,690178,221112,-1,920812,-1,374598,162966,358843,121032,-1,-1,129088,-1,745796,-1,404101,-1,262409,521718,791566,142735,-1,245275,-1,-1,656559,-1,338946,-1,490492,19660,738665,-1,-1,336432,-1,-1,-1,-1,-1,-1,40591,-1,-1,674860,906098,-1,345676,-1,-1,516175,382462,555194,-1,-1,882932,660251,27213,311047,402722,450238,90842,-1,681321,-1,67734,-1,-1,586101,-1,214484,397558,-1,177080,167258,-1,723148,979063,-1,41007,-1,412914,-1,-1,-1,-1,-1,474808,323595,-1,-1,22626,834699,-1,680076,-1,435592,743420,862808,885787,-1,518068,-1,667259,-1,-1,579434,148203,-1,47913,-1,-1,-1,657398,908871,260838,426658,-1,762924,-1,876162,485151,-1,-1,509557,-1,-1,-1,372856,135584,434648,-1,860377,597311,-1,-1,948498,-1,275402,213085,-1,-1,850950,20568,-1,944967,272379,-1,-1,412320,-1,610765,-1,536030,16639,-1,-1,-1,-1,346710,738773,699596,542761,-1,-1,819211,-1,-1,-1,54811,87141,-1,523091,-1,-1,-1,420888,922760,833004,-1,-1,-1,-1,-1,367016,-1,-1,-1,137411,-1,-1,616580,-1,631582,54219,-1,751863,-1,440365,-1,-1,29742,-1,101777,-1,917694,825532,417869,253515,442724,-1,147666,-1,-1,-1,-1,279374,-1,382627,-1,-1,209337,-1,689184,856970,-1,165687,-1,-1,-1,-1,6434,-1,-1,-1,717113,-1,-1,-1,149340,318218,-1,542905,768185,11944,83076,-1,263856,482106,708070,-1,26616,27033,-1,715335,-1,-1,972831,761452,476526,-1,-1,-1,-1,-1,978554,-1,-1,-1,277240,-1,576761,-1,-1,250765,-1,-1,807884,543342,360422,466909,708334,-1,959530,-1,188628,-1,-1,289473,-1,394834,833025,94503,712053,-1,-1,525574,880056,165637,-1,-1,-1,312351,612901,-1,987324,557598,-1,-1,669341,-1,30388,-1,717232,-1,-1,-1,-1,168820,552062,-1,-1,575483,-1,612731,276239,704161,7518,425687,-1,966294,-1,-1,-1,637680,-1,796676,938361,972187,-1,-1,5073,266979,643940,955336,-1,599275,-1,37684,-1,-1,470274,-1,923506,-1,-1,375385,333706,-1,-1,-1,139450,139504,214280,398650,845545,212507,-1,585010,-1,-1,-1,-1,670208,-1,536570,-1,-1,-1,484743,-1,-1,-1,802283,-1,453715,331346,-1,231151,-1,-1,979287,-1,470412,-1,-1,-1,913300,696512,913811,443888,165326,930486,148313,-1,923386,-1,148175,-1,-1,971299,-1,108731,365761,512501,-1,563767,354535,354316,-1,574487,389478,465739,-1,209950,737088,367689,-1,112317,-1,-1,-1,261032,189213,-1,667223,-1,760440,940272,-1,671197,890024,352717,-1,-1,-1,47620,377524,328879,777425,89547,-1,69023,314002,456836,715101,119315,311057,-1,-1,170163,-1,-1,-1,-1,739409,-1,-1,679046,-1,-1,-1,-1,-1,371235,-1,296558,-1,729984,-1,541953,103000,665748,3863,-1,-1,-1,-1,-1,547882,898200,-1,849666,-1,834917,-1,959915,477125,936492,628025,-1,-1,-1,407705,-1,906843,923621,-1,-1,-1,84028,-1,393815,-1,907488,-1,190592,120252,-1,460170,-1,291784,-1,961293,-1,-1,-1,636689,-1,282619,-1,166426,-1,945657,569966,954706,911631,-1,-1,20301,-1,143409,-1,-1,846344,-1,-1,102852,-1,182737,-1,989648,-1,605088,796555,-1,-1,-1,-1,773859,-1,153835,344622,832633,220613,719754,137482,-1,719545,626253,-1,761209,159585,617664,-1,-1,640417,-1,-1,-1,-1,-1,-1,996488,340416,909309,-1,810654,-1,-1,-1,104468,311095,785953,-1,373608,-1,392113,-1,225926,503914,910156,533000,97466,-1,-1,-1,644192,-1,-1,-1,-1,-1,-1,-1,953825,-1,114067,-1,-1,-1,535608,607034,299494,574490,-1,416443,-1,61807,-1,94056,-1,-1,-1,-1,492959,604902,-1,-1,-1,-1,-1,-1,-1,440090,-1,167161,-1,-1,-1,936434,733499,-1,646456,-1,-1,92838,-1,499181,-1,-1,572848,894746,133776,130243,-1,963691,172526,-1,277469,-1,337883,-1,769427,-1,566239,74594,513275,65133,-1,-1,-1,-1,848422,-1,-1,542988,-1,-1,107459,-1,979663,84208,-1,-1,-1,830435,583510,-1,199549,-1,684132,-1,-1,-1,-1,553883,671130,-1,668046,-1,-1,-1,653272,-1,309623,-1,622211,-1,-1,-1,-1,453407,-1,-1,-1,-1,186122,-1,217963,886727,548200,-1,272568,38704,-1,-1,-1,583640,-1,-1,-1,343580,15850,-1,82231,-1,382289,-1,-1,-1,596119,-1,673996,-1,-1,458553,991156,894892,-1,-1,-1,-1,-1,978969,366877,-1,-1,349076,-1,309430,-1,727514,584233,530841,472620,641211,860159,-1,699739,-1,508103,213839,477480,876081,-1,561732,670923,390218,972204,706393,-1,-1,-1,86966,806573,47118,-1,901390,-1,226032,388398,-1,640006,-1,415962,208865,-1,-1,798527,-1,597704,-1,190490,368480,452934,-1,227931,-1,436649,-1,396253,-1,43402,-1,890458,-1,-1,-1,-1,-1,73026,619098,37685,32734,920956,418649,864856,805706,-1,-1,-1,-1,800877,875981,871274,285583,-1,542560,462010,719146,-1,626113,361596,-1,7126,143558,-1,-1,192675,-1,-1,720689,-1,-1,175703,-1,662008,159872,379365,-1,939352,67245,38556,-1,264908,113354,-1,-1,-1,-1,488974,-1,742697,538959,-1,-1,711974,-1,-1,672630,500843,436620,820686,-1,423315,-1,108012,-1,-1,352419,247632,-1,-1,184854,-1,-1,-1,7629,-1,573770,99287,969819,-1,-1,-1,-1,647372,-1,130821,868633,480781,-1,-1,-1,267049,466877,-1,-1,603398,-1,-1,995921,161569,-1,-1,-1,-1,580193,319380,-1,11744,400124,-1,132258,-1,-1,-1,940503,232585,175629,-1,-1,386097,392840,261806,-1,20025,-1,43073,621173,827641,55835,258449,157596,-1,395847,864693,906715,-1,353231,791673,-1,-1,253188,971246,871747,107868,-1,254723,303950,-1,875773,-1,278786,371738,453398,544661,-1,287324,-1,-1,-1,126425,-1,-1,48230,-1,980178,-1,-1,-1,-1,-1,-1,-1,-1,-1,351376,-1,398008,895856,-1,-1,45452,404296,-1,86954,406472,714204,-1,-1,-1,722142,-1,-1,319191,-1,-1,-1,950122,163128,-1,621813,-1,570133,-1,-1,380894,776430,-1,235480,-1,550945,-1,-1,-1,-1,300207,768128,66722,-1,562956,858766,236033,-1,319418,-1,81050,658447,98518,520638,-1,-1,493826,109907,82295,100757,668249,107498,-1,751241,-1,813655,43757,407666,243972,-1,-1,-1,-1,77275,166104,384645,-1,289333,756769,-1,-1,-1,723943,-1,163369,403013,665085,397249,279447,-1,575052,681346,65193,720539,-1,542830,205183,-1,-1,-1,-1,616273,569093,-1,-1,367192,-1,221879,-1,-1,-1,676672,343559,-1,391546,288252,-1,-1,535628,-1,-1,311096,-1,59796,675837,-1,870403,380566,-1,371252,-1,-1,414051,-1,70909,-1,883022,188941,103678,732542,-1,-1,-1,-1,-1,115798,356864,327969,87744,-1,135821,-1,-1,-1,540623,-1,496084,80756,342417,-1,710697,-1,408973,-1,12383,703033,-1,-1,-1,-1,191746,-1,689531,167877,971961,-1,-1,-1,826084,-1,167105,149860,-1,701673,-1,-1,590994,221416,-1,264784,-1,-1,948733,-1,573391,-1,315407,-1,353289,-1,883703,81868,671083,168853,-1,313118,780542,-1,70435,-1,197758,624354,824311,-1,-1,184201,784751,-1,-1,375700,348822,-1,429177,-1,978823,395377,-1,-1,779764,597912,214426,-1,361076,-1,207603,928207,-1,-1,6557,133042,777564,81717,-1,-1,407990,501169,454110,390631,-1,908034,-1,117958,936200,-1,-1,217181,955233,-1,-1,-1,423074,486781,-1,-1,-1,-1,-1,749203,-1,881266,-1,-1,82561,618214,-1,-1,-1,-1,483945,705172,-1,116632,-1,-1,-1,-1,320224,835708,691414,-1,545538,-1,402720,-1,-1,-1,835755,-1,98630,103832,612016,-1,436811,-1,760131,918844,-1,-1,-1,551671,818934,-1,213596,-1,294212,-1,485931,982133,-1,378900,511954,-1,-1,-1,565987,708583,23252,-1,959437,155630,494882,-1,964841,676128,111912,-1,475941,-1,-1,392102,698390,-1,-1,648878,130473,-1,646801,429017,264672,-1,-1,-1,-1,-1,-1,-1,896747,411214,-1,-1,868414,945017,108870,668726,-1,-1,11555,-1,994321,519047,-1,586887,-1,-1,-1,63235,-1,648649,-1,-1,-1,438861,-1,934845,-1,793977,259669,938906,450414,-1,806209,2208,-1,702363,-1,-1,463501,287490,134757,-1,-1,522435,-1,819682,-1,-1,-1,-1,-1,-1,390448,920756,-1,569314,-1,614386,-1,-1,463961,-1,-1,-1,42952,-1,-1,-1,560229,-1,554399,-1,465623,460841,881848,-1,-1,381242,-1,-1,-1,155255,-1,-1,758716,-1,-1,247284,-1,-1,255084,2727,175967,180536,84230,920451,-1,657427,-1,143857,523525,363302,414889,-1,-1,498230,677927,960891,-1,983478,-1,698737,573866,491343,810279,-1,667412,-1,-1,485374,561579,335175,-1,803408,628033,-1,-1,450299,706418,420024,524748,823786,363185,-1,409178,323160,-1,-1,-1,757019,340567,-1,690695,193694,-1,-1,408015,805965,923863,970813,515835,-1,-1,546409,-1,-1,773204,176071,937830,-1,236404,561356,13503,228371,-1,-1,-1,-1,-1,632558,-1,-1,-1,47008,-1,465192,711340,256953,-1,89143,-1,-1,-1,-1,452479,-1,596900,565075,-1,286365,624521,-1,-1,255680,-1,691877,988399,484644,947010,-1,236550,-1,508710,437290,-1,541228,30547,-1,-1,-1,-1,357324,749253,-1,657390,761844,624092,958254,-1,-1,523777,-1,-1,92440,885358,145370,-1,-1,691735,92250,353452,-1,989884,671536,130586,-1,980654,270503,-1,-1,497513,-1,700172,645104,-1,441569,411866,613053,-1,-1,-1,-1,-1,-1,-1,-1,-1,804639,178059,805690,-1,-1,828814,-1,121650,-1,707330,-1,-1,-1,67557,-1,-1,-1,972165,262532,41305,416103,978891,-1,573577,-1,62619,-1,497038,765526,722635,424293,915245,-1,888103,701619,-1,-1,95546,447372,-1,-1,-1,-1,-1,213090,-1,-1,21947,-1,859016,117024,469682,-1,812360,981409,80190,-1,59859,-1,-1,-1,-1,593369,-1,-1,675548,-1,269479,702540,717926,18748,482426,902296,202702,471662,-1,-1,776074,-1,936191,102974,923774,-1,-1,-1,-1,-1,-1,771776,-1,-1,-1,915465,-1,-1,-1,614246,-1,-1,-1,-1,-1,306611,-1,770729,738697,605162,625749,-1,720001,-1,-1,300655,-1,-1,-1,-1,948355,917294,808940,-1,-1,-1,-1,-1,-1,-1,693946,560234,327883,42328,-1,-1,652712,-1,-1,935434,715156,-1,-1,-1,-1,-1,954337,-1,-1,559658,-1,-1,-1,648434,-1,-1,-1,-1,650110,-1,638906,655839,437240,204968,817964,-1,-1,507135,581211,-1,-1,-1,-1,-1,-1,655710,-1,784453,-1,-1,629814,772140,-1,-1,546115,627193,-1,527803,-1,-1,170072,-1,563881,543180,-1,886536,-1,697293,409794,420030,264183,839223,-1,219109,-1,908037,-1,500533,248862,347687,91704,572812,-1,578032,-1,444513,494042,-1,444466,-1,-1,-1,-1,366897,-1,525995,260303,660039,230056,-1,-1,-1,-1,-1,819028,-1,393630,-1,629942,-1,92922,-1,-1,-1,757226,914904,-1,-1,-1,-1,-1,226395,5782,527684,91184,-1,-1,-1,796745,28192,118283,-1,956568,-1,469111,528686,810177,-1,-1,-1,989181,-1,887685,-1,-1,886200,390093,-1,34151,-1,315780,585057,-1,31555,359230,950451,-1,727728,-1,379563,364769,529422,148504,670695,956457,-1,-1,330521,234924,177673,-1,58188,-1,-1,-1,-1,-1,-1,-1,655134,-1,-1,-1,-1,-1,476639,-1,676391,-1,-1,943072,288587,-1,-1,172028,-1,541938,-1,126308,-1,996920,-1,-1,12678,-1,-1,-1,467424,-1,-1,-1,799020,-1,-1,-1,848698,-1,207450,777079,-1,-1,-1,82979,-1,150058,795677,-1,-1,-1,-1,-1,717475,-1,-1,528119,-1,988029,-1,226080,788910,-1,236755,-1,328145,837233,-1,-1,-1,24311,188601,-1,-1,-1,456567,452218,-1,467392,387894,-1,743515,-1,-1,826011,-1,-1,933199,-1,-1,788207,769848,-1,-1,359271,-1,96690,805993,-1,-1,-1,-1,20621,67829,-1,169635,468616,-1,-1,153692,-1,-1,-1,106702,-1,-1,317289,489106,613081,-1,-1,-1,881828,-1,-1,-1,-1,898854,428879,-1,864842,693736,-1,445391,420477,-1,112476,-1,351604,-1,-1,-1,-1,344162,-1,349764,-1,-1,-1,-1,947440,424361,177832,47351,268747,-1,-1,-1,-1,78419,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,122195,363146,-1,-1,179109,-1,-1,-1,-1,299499,-1,961694,874619,13323,539584,-1,844165,744749,696883,866169,-1,438760,-1,512595,221297,891897,-1,496976,-1,396898,-1,48749,-1,803762,-1,858579,924622,439963,-1,-1,780319,105388,-1,-1,866703,922818,-1,-1,-1,-1,-1,788650,29609,732719,-1,-1,-1,-1,-1,-1,628687,-1,-1,-1,491954,313805,854013,-1,-1,-1,585774,72028,-1,-1,-1,996875,714272,191737,469963,436937,516897,838246,679783,589902,16245,668604,722126,435325,-1,-1,-1,334496,-1,-1,692616,673063,114326,-1,949790,-1,951314,-1,-1,-1,284679,998346,789086,-1,689901,-1,967781,-1,514795,-1,-1,968259,404547,-1,582694,140619,501560,309426,-1,901895,-1,-1,-1,161639,-1,-1,-1,345826,798743,-1,636282,-1,286954,-1,-1,972601,-1,792741,674828,68157,153790,821861,-1,209993,-1,235403,136510,346327,-1,500989,-1,-1,298466,35360,887479,883133,-1,-1,507500,175051,-1,494301,-1,-1,399694,-1,355984,-1,-1,-1,-1,545046,-1,-1,-1,474010,336597,-1,-1,744192,-1,935018,22816,-1,-1,-1,717615,602306,-1,995497,933108,591137,-1,-1,241870,-1,142192,671880,-1,-1,62792,465867,-1,-1,442639,-1,32789,106219,699368,-1,490062,-1,-1,928372,146716,797779,357113,-1,231681,-1,932782,-1,551203,-1,-1,-1,790427,640311,981457,-1,545445,-1,113498,63635,-1,546003,-1,386895,664867,-1,-1,318183,721785,-1,-1,383217,-1,911762,833119,-1,383313,-1,834539,-1,-1,-1,59296,116757,-1,-1,727008,747246,711271,-1,206930,715839,-1,-1,396985,-1,466865,394236,-1,422233,-1,-1,317211,-1,167205,-1,-1,-1,644849,-1,-1,316612,64842,-1,-1,43876,-1,-1,-1,285359,185154,-1,-1,-1,912122,-1,759063,-1,468690,-1,-1,-1,-1,-1,-1,993101,-1,182970,-1,-1,35489,-1,470612,-1,841854,538179,949426,804297,-1,-1,-1,-1,640314,-1,-1,486594,890895,409158,631501,924347,-1,-1,-1,348442,-1,483957,863905,105733,906960,594993,554138,-1,998868,-1,-1,-1,303432,202785,948989,755071,-1,-1,-1,-1,231771,-1,250909,-1,754502,-1,196716,-1,-1,-1,611331,203268,-1,-1,567765,-1,-1,257033,-1,61024,404051,122916,-1,38342,798495,592267,239882,-1,362940,-1,925491,-1,-1,407859,-1,-1,-1,-1,-1,-1,-1,640998,-1,459375,825449,790351,982249,-1,-1,162243,-1,-1,-1,-1,329761,938600,-1,-1,417218,723673,621054,-1,606635,-1,544708,-1,36354,342042,512897,802799,456190,963607,357512,-1,-1,-1,-1,534364,636393,697,-1,-1,-1,-1,138822,74680,-1,-1,-1,-1,-1,955852,940032,-1,185447,-1,16436,74066,523463,906001,-1,921522,-1,818563,953257,-1,-1,317594,-1,-1,200066,-1,384254,703374,896960,15051,-1,-1,-1,-1,-1,861483,723975,-1,-1,874384,-1,-1,-1,-1,-1,543748,360479,721318,79144,-1,246956,797521,634092,50259,788517,-1,-1,-1,-1,-1,-1,762679,64450,658122,913558,-1,-1,-1,831862,87108,-1,-1,242746,-1,-1,-1,475069,410350,-1,-1,-1,342694,-1,-1,-1,558398,685612,253654,-1,917418,-1,-1,-1,-1,846355,872600,-1,102209,901949,-1,697812,244194,-1,221376,-1,581436,820075,-1,-1,775949,-1,597106,382127,-1,-1,203984,-1,-1,-1,68007,-1,-1,-1,851365,-1,897975,529517,-1,-1,-1,602689,-1,171440,390121,-1,-1,-1,595205,-1,701955,692157,-1,-1,386899,92857,403998,-1,922049,18769,-1,232939,39823,-1,817278,-1,112294,84842,-1,-1,685333,-1,757781,-1,349881,941873,-1,-1,345072,-1,-1,25761,-1,499214,-1,-1,633640,-1,-1,-1,932638,433995,-1,-1,-1,-1,-1,372992,-1,-1,357402,-1,-1,-1,-1,-1,734612,357206,593701,-1,416315,263314,-1,-1,103284,715279,-1,938801,399373,848008,-1,437398,-1,474955,926023,57248,308253,370447,541165,860583,-1,-1,-1,-1,-1,-1,800074,5418,687933,565748,739914,95828,-1,-1,255195,-1,714844,-1,612218,-1,-1,-1,-1,-1,-1,66023,-1,-1,247431,778787,-1,-1,-1,-1,-1,683323,-1,-1,-1,805247,-1,-1,957796,570962,-1,439080,-1,504037,-1,-1,712553,-1,-1,267656,-1,564776,603341,-1,168075,106286,-1,-1,151932,794555,831292,-1,-1,-1,639182,482296,-1,702354,-1,-1,-1,940386,48588,-1,362078,-1,-1,-1,-1,-1,-1,886619,-1,-1,156971,-1,-1,-1,197138,-1,-1,-1,-1,266209,606077,-1,617239,-1,-1,716352,-1,794379,-1,353418,957418,568288,338181,-1,514524,-1,-1,-1,855030,-1,-1,-1,-1,16271,-1,-1,646564,610089,201415,-1,-1,-1,817291,-1,556050,-1,-1,517591,-1,-1,437614,-1,-1,-1,-1,-1,-1,301441,-1,-1,-1,294760,293569,-1,36593,82946,589626,-1,-1,-1,-1,572173,103033,65561,708637,843451,503425,-1,366966,475620,547360,-1,197993,786453,-1,518686,-1,-1,626649,779521,-1,56127,-1,899357,511351,193640,129407,223695,501111,750044,-1,-1,-1,-1,213612,-1,289051,134881,-1,-1,-1,619552,-1,-1,-1,-1,-1,243175,581013,-1,-1,-1,166096,818786,-1,246035,-1,-1,437114,-1,149939,-1,-1,552368,-1,941512,36099,864335,645505,394043,381889,-1,-1,-1,-1,-1,-1,-1,-1,-1,260765,-1,-1,-1,302592,132111,348413,-1,155779,-1,986872,-1,-1,976338,966512,986735,-1,803977,-1,868487,212449,634084,484910,272446,590718,55064,-1,-1,-1,927293,-1,-1,31796,-1,-1,-1,5301,-1,-1,909092,-1,-1,-1,627943,-1,-1,-1,-1,-1,-1,-1,433470,517266,-1,-1,-1,-1,-1,-1,-1,-1,735715,-1,-1,-1,564042,917719,146627,-1,508692,-1,142543,-1,-1,790350,851869,39055,-1,-1,-1,235760,-1,-1,221913,-1,-1,-1,-1,911227,798079,-1,-1,-1,-1,32015,609987,-1,973309,-1,-1,-1,-1,585474,156984,997370,-1,901213,726886,-1,667725,-1,444789,-1,-1,799682,-1,942462,660647,646384,474709,844735,-1,193035,-1,-1,-1,-1,-1,598170,604254,625788,-1,-1,-1,-1,-1,-1,261612,588039,-1,836212,636373,623864,-1,660401,-1,41732,324266,422498,811449,-1,-1,-1,866272,-1,-1,841912,-1,-1,-1,-1,-1,-1,-1,-1,662806,362230,479726,-1,509781,186540,-1,-1,677093,693084,-1,-1,666879,-1,-1,789476,-1,449178,607647,874396,193019,661862,981142,-1,-1,-1,124535,842024,-1,145225,-1,652754,715933,-1,-1,-1,-1,-1,-1,-1,518822,-1,498091,537271,466267,302734,-1,-1,-1,-1,960770,289359,68423,-1,178533,10597,-1,650376,918974,530911,-1,-1,236147,286211,281223,226905,62732,-1,-1,-1,-1,-1,545494,272624,763205,25611,391139,-1,-1,-1,-1,-1,386561,523854,-1,-1,-1,414220,-1,964704,165258,-1,990027,-1,-1,225549,221068,-1,714549,-1,-1,37434,434352,-1,309932,-1,481064,796415,202652,-1,-1,-1,169241,546313,-1,975427,992778,-1,-1,78503,-1,-1,24851,-1,-1,-1,824689,213805,756186,-1,-1,-1,-1,147051,50028,708483,206970,852138,-1,341156,-1,-1,741531,552553,-1,301546,91941,-1,286930,-1,465529,799982,192397,21988,-1,-1,-1,-1,-1,-1,-1,-1,-1,725188,364749,551253,-1,824724,952652,-1,-1,974028,-1,272165,-1,-1,-1,819704,372495,-1,-1,-1,273067,-1,-1,-1,425846,101068,849448,544659,146067,-1,381832,927684,648421,-1,-1,-1,127003,282724,496739,837402,187796,214073,-1,-1,-1,-1,559842,-1,548428,845096,969901,-1,-1,-1,-1,347353,-1,-1,309957,214272,-1,-1,-1,898385,-1,122850,544756,-1,228097,-1,-1,-1,-1,270587,-1,658138,-1,544907,-1,528787,-1,-1,840974,302881,-1,-1,-1,-1,-1,101385,164342,-1,794459,96426,581016,-1,822920,-1,431790,61416,-1,-1,51328,-1,-1,382912,244151,-1,661181,-1,136861,-1,-1,515301,800977,-1,278802,522927,841650,906582,15310,-1,406291,-1,920678,-1,-1,284545,-1,83434,-1,-1,736234,-1,-1,-1,998947,341321,-1,731028,435476,-1,-1,977517,79230,958466,-1,-1,776835,-1,-1,719675,986356,262333,-1,-1,-1,-1,395698,691381,846211,847937,456952,460586,-1,-1,693323,-1,783423,-1,440,-1,-1,163783,-1,538081,456840,902375,464583,-1,144616,-1,-1,-1,-1,-1,125733,-1,917016,591462,109351,496293,7167,804773,241235,682504,184088,349524,891384,-1,-1,785421,-1,872342,-1,-1,-1,-1,-1,-1,-1,911284,730617,-1,-1,320154,857030,643143,-1,-1,-1,499986,-1,-1,498055,823168,719098,413722,598533,729781,-1,-1,-1,-1,-1,-1,7124,-1,-1,100103,417074,-1,627963,437990,-1,796122,558674,918789,761048,140615,-1,-1,-1,-1,-1,-1,742993,913655,205986,-1,496575,-1,-1,808070,-1,-1,-1,295339,-1,-1,824967,651595,-1,193587,-1,-1,-1,-1,-1,569920,199243,-1,430473,230182,-1,-1,-1,-1,-1,597236,785982,-1,-1,-1,490162,-1,945875,-1,138076,-1,414472,177840,-1,-1,-1,582903,-1,39557,667423,248994,-1,-1,564648,-1,-1,-1,-1,-1,643581,-1,-1,-1,-1,-1,-1,-1,916216,9897,-1,617526,-1,523558,-1,-1,-1,-1,556314,648403,-1,-1,263916,-1,418940,-1,-1,-1,-1,806095,-1,64578,-1,-1,704798,-1,-1,-1,-1,351128,756658,967273,446918,-1,-1,741747,-1,-1,-1,690950,239699,-1,750525,-1,114535,-1,555062,834522,723049,250131,-1,-1,89589,514638,459854,952504,-1,185101,323370,721984,-1,-1,967994,930151,-1,-1,-1,849922,-1,-1,-1,756812,993484,780711,503247,-1,-1,-1,-1,-1,-1,-1,-1,80185,-1,1829,60951,652003,763433,-1,947317,-1,-1,638890,-1,287539,298149,283733,631038,496665,215407,-1,-1,486865,-1,632843,-1,363729,-1,-1,259707,644393,-1,-1,-1,-1,174895,777938,-1,-1,-1,-1,-1,-1,-1,-1,573156,-1,10512,-1,490658,18563,172967,242789,450612,850278,28787,-1,-1,-1,-1,-1,740080,758298,957109,-1,253144,601115,-1,-1,290432,-1,123227,-1,-1,430744,-1,676266,-1,-1,833217,-1,306131,-1,-1,15227,-1,-1,595280,-1,770431,-1,-1,749726,-1,20032,-1,-1,314219,-1,-1,-1,69689,503340,427647,-1,397998,273065,-1,-1,99204,-1,210295,-1,-1,853402,587614,-1,892840,-1,-1,894534,-1,304157,254001,-1,968137,-1,536453,632039,-1,554381,370062,641450,-1,950243,385484,798082,-1,-1,459148,-1,431503,-1,-1,-1,-1,-1,72473,335218,-1,-1,-1,-1,902045,-1,-1,926251,-1,968574,830653,880795,467659,-1,813217,-1,712399,-1,855398,38593,546455,239756,856547,-1,897624,-1,-1,577940,764461,-1,14260,106072,-1,949191,-1,-1,644564,-1,924717,705826,-1,-1,147736,-1,808127,-1,66999,529120,-1,535615,-1,-1,401605,482350,750800,265381,279901,286254,-1,572235,-1,-1,507436,-1,411490,-1,-1,-1,-1,370565,-1,624950,-1,473540,-1,-1,-1,-1,-1,-1,949401,962285,103139,23604,-1,199763,-1,-1,-1,-1,-1,-1,549579,-1,731664,-1,530746,793615,837832,945271,-1,-1,7837,334902,-1,495642,-1,-1,-1,-1,371581,880162,185439,255582,-1,-1,-1,278600,425615,513812,965949,801419,-1,-1,-1,-1,834039,-1,417039,-1,477980,958379,281635,-1,-1,368377,850134,-1,64940,57450,792376,347286,-1,693830,-1,623720,-1,547499,-1,274167,835450,-1,480874,217741,314994,327522,983851,256701,-1,682468,-1,-1,-1,415938,489763,-1,753520,483746,-1,-1,826782,-1,912375,939926,-1,-1,497221,-1,-1,88156,440679,521747,570219,554394,450082,607477,319944,311770,677156,674075,-1,334673,408433,860553,-1,-1,-1,-1,-1,39291,-1,-1,759071,-1,594463,-1,-1,651472,-1,-1,546349,-1,-1,211839,555481,-1,187218,-1,-1,86063,809621,-1,-1,-1,554820,237571,373290,117928,-1,40539,604738,371460,540700,-1,14703,113565,835148,888660,-1,-1,-1,-1,-1,562742,-1,-1,-1,874448,-1,171297,-1,630619,-1,-1,507244,618226,-1,-1,350423,-1,-1,46551,-1,278561,280465,788182,-1,-1,679169,147310,-1,655498,944097,353337,-1,-1,8407,-1,-1,333557,301495,-1,83431,-1,150559,-1,630327,-1,-1,-1,-1,-1,-1,-1,746175,-1,467535,-1,31450,206937,-1,-1,-1,496412,83765,-1,750910,118551,-1,505240,-1,439226,132981,-1,59150,-1,-1,-1,-1,745697,631793,546,267545,666906,-1,741784,-1,-1,-1,698574,-1,85457,149785,-1,-1,689173,-1,-1,-1,970859,-1,-1,423963,-1,-1,-1,231019,146526,-1,-1,831412,446516,557871,-1,-1,-1,525899,2071,392234,447333,-1,-1,12306,864185,206504,-1,3629,-1,278504,-1,-1,-1,421690,-1,989521,-1,241966,-1,-1,181548,898354,309051,-1,848645,634722,-1,161586,98917,695946,-1,276244,-1,59754,-1,-1,-1,819980,594864,381527,420241,936203,435113,-1,-1,-1,-1,-1,843355,930182,-1,233191,853909,-1,-1,453154,821814,-1,-1,31108,929264,-1,505006,-1,450442,-1,-1,-1,-1,68740,161792,930062,-1,-1,297995,673965,-1,864933,868117,241139,244884,-1,-1,-1,-1,293824,-1,-1,588071,346488,819267,97183,-1,147379,-1,336409,663038,-1,763269,40483,485154,-1,965761,774733,-1,-1,560065,919674,996618,733794,-1,574674,-1,437879,-1,-1,196280,-1,-1,-1,-1,-1,263261,176825,515270,-1,408908,708062,878625,-1,737398,19697,-1,465909,-1,-1,904352,-1,-1,976799,14371,-1,899685,787099,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,664979,-1,-1,273786,-1,84478,720821,-1,-1,-1,279658,347437,166113,-1,-1,-1,444533,726270,-1,-1,-1,-1,-1,-1,-1,-1,472499,841388,-1,-1,519007,-1,-1,898658,251855,522104,905602,136804,-1,636253,233967,-1,-1,459817,-1,125336,-1,419509,805084,714764,-1,177127,-1,-1,366081,392013,-1,-1,-1,258576,-1,-1,-1,-1,223444,-1,-1,503070,70914,-1,608122,-1,-1,-1,-1,-1,-1,824940,657853,-1,-1,-1,282909,-1,961440,-1,291087,-1,-1,-1,188742,-1,140765,760530,-1,-1,323414,-1,-1,-1,-1,-1,766629,-1,351509,427488,444997,773292,144959,-1,536478,113646,-1,429438,732515,924513,134938,316705,-1,781984,-1,-1,-1,171604,-1,-1,127211,-1,-1,-1,527815,-1,-1,412707,-1,-1,198185,681550,574583,494013,-1,870761,-1,274858,271138,124042,-1,-1,-1,130998,527240,-1,-1,582035,980620,197160,53947,-1,-1,888364,692400,-1,280898,-1,-1,-1,726140,-1,-1,935145,766580,522185,234064,74259,587665,979060,-1,-1,587146,35416,-1,-1,-1,-1,919969,-1,-1,506903,351360,721778,-1,-1,358888,-1,-1,-1,-1,-1,-1,587280,357464,-1,223476,435216,507720,-1,717016,-1,-1,-1,-1,-1,-1,939611,-1,-1,-1,74725,-1,168309,872359,334749,582904,-1,-1,677679,685942,-1,-1,-1,-1,523951,-1,334247,-1,249038,361268,660060,-1,-1,-1,580225,11113,-1,-1,-1,481723,-1,-1,-1,965439,-1,522007,-1,-1,926938,295464,-1,281588,-1,356497,472447,527569,386137,-1,215202,144695,754239,123319,-1,265280,-1,-1,-1,81577,-1,296061,113780,-1,-1,-1,-1,587788,775232,-1,644929,-1,351784,306456,-1,-1,-1,658857,-1,699895,-1,-1,774374,103961,-1,-1,-1,548684,868315,300117,-1,883489,864887,-1,-1,297510,217725,-1,-1,933302,957187,-1,456865,-1,849920,521451,646572,176811,489125,-1,-1,-1,103494,-1,-1,72909,295635,821955,271099,345673,-1,439144,963463,881891,-1,-1,-1,-1,762009,147864,-1,88605,-1,333622,-1,-1,-1,-1,166492,483143,458143,-1,820449,171507,-1,675900,68746,-1,-1,-1,472749,464158,620250,-1,-1,-1,139602,464563,-1,54783,-1,902198,-1,45074,778334,-1,946750,-1,725338,-1,-1,-1,658224,-1,745840,728283,-1,-1,-1,735886,645950,-1,-1,-1,77092,940627,-1,-1,-1,292209,526271,593132,76164,-1,328176,231703,-1,333338,331195,-1,-1,-1,-1,-1,616668,744744,118322,-1,698694,-1,-1,-1,-1,550340,754519,-1,-1,-1,214094,-1,778283,784675,-1,-1,-1,743213,-1,64938,-1,-1,681542,989547,459980,-1,914530,591468,-1,-1,-1,981626,-1,-1,351606,-1,55077,938953,155085,-1,139522,134245,772102,-1,-1,784413,-1,-1,-1,-1,596384,481833,-1,-1,732147,913039,680993,-1,275968,853159,995193,-1,977938,486823,-1,143638,524787,131693,-1,418097,658747,-1,-1,-1,856636,660119,955930,220171,-1,332363,425441,-1,-1,333465,105513,-1,-1,577811,-1,478490,-1,-1,10032,-1,-1,-1,809004,-1,513670,-1,-1,-1,540470,-1,366758,-1,970726,226651,273463,955619,77328,524236,-1,-1,-1,192155,641495,-1,-1,545357,-1,926418,418859,-1,438061,748677,-1,-1,977785,-1,-1,104696,-1,367160,-1,-1,-1,-1,-1,155754,-1,785498,-1,141019,-1,49694,880401,-1,-1,848911,843651,-1,-1,-1,-1,263471,301424,-1,-1,653520,-1,914049,265443,-1,382887,-1,192598,139047,-1,330908,663357,-1,100106,-1,-1,-1,956900,-1,-1,-1,-1,373668,45931,915360,661087,883149,-1,-1,-1,942510,-1,-1,-1,219087,-1,-1,-1,177953,-1,-1,559180,470147,-1,-1,967126,-1,12093,-1,969078,979357,783903,3288,314122,-1,259531,469118,585225,953079,-1,-1,397838,-1,-1,144309,-1,549477,544523,209892,849109,-1,-1,-1,-1,-1,-1,413526,490054,879425,-1,459477,-1,201094,-1,676154,781973,-1,169949,-1,985439,449146,-1,-1,-1,816827,769138,408409,125031,-1,-1,-1,-1,735719,-1,-1,-1,-1,-1,-1,-1,646622,-1,588281,282001,-1,220144,60211,-1,900685,-1,-1,-1,264542,600973,-1,-1,-1,-1,-1,-1,429774,-1,641908,918685,-1,-1,-1,-1,-1,-1,827058,635406,-1,-1,-1,447637,384796,838791,322879,952289,231435,-1,4189,-1,882390,-1,-1,884182,657350,-1,-1,-1,510154,-1,-1,-1,-1,393707,632146,-1,729155,789855,853838,269176,-1,-1,-1,928095,-1,132350,-1,853921,-1,-1,-1,-1,-1,-1,106340,-1,-1,183380,629418,-1,432235,387667,760197,-1,265296,-1,647947,456099,628379,-1,522615,-1,504568,336062,916581,-1,-1,819931,653836,-1,-1,-1,905487,614466,462849,-1,-1,-1,406828,792401,574684,-1,-1,-1,-1,-1,-1,-1,-1,-1,396282,-1,556505,146194,658818,69435,-1,489447,776703,438623,-1,155282,593315,382695,-1,-1,770109,8330,221871,-1,860804,-1,-1,417160,173486,999335,980865,-1,755218,63676,900695,901418,-1,-1,596573,-1,793016,251630,449365,-1,151009,546248,-1,-1,-1,35596,-1,379270,-1,-1,132543,-1,240128,-1,-1,-1,791745,-1,862799,-1,440794,865315,-1,78583,196612,-1,874596,355261,-1,-1,666473,-1,-1,92798,489388,-1,-1,-1,-1,392560,-1,245984,-1,534251,621477,457194,-1,726345,-1,-1,202295,814991,426805,855419,912559,675797,-1,-1,-1,327171,-1,-1,-1,879569,-1,-1,-1,-1,677498,923026,-1,27784,-1,305587,70363,649708,427154,827693,87690,-1,-1,766606,426842,677663,397765,-1,695352,-1,-1,-1,-1,134137,-1,553910,544723,-1,-1,-1,884202,-1,586916,-1,905183,-1,-1,-1,520811,-1,986900,-1,-1,-1,218758,-1,522606,-1,394408,-1,262948,543013,628231,320766,628551,265131,-1,135204,-1,-1,406274,-1,530662,160116,-1,-1,63910,549033,-1,-1,573900,-1,-1,-1,-1,823745,331546,-1,-1,-1,-1,985862,359026,-1,-1,938796,165855,7759,-1,190772,-1,225304,80958,-1,510628,-1,69562,79014,-1,-1,298416,922143,834546,132659,-1,-1,134930,878478,72155,-1,673349,504337,-1,-1,483035,-1,482967,323611,-1,-1,935688,811755,-1,651441,-1,-1,-1,-1,643192,-1,-1,667743,-1,-1,-1,371418,-1,-1,-1,744386,86018,285220,-1,409051,-1,952968,-1,25708,-1,-1,-1,766966,-1,610797,-1,-1,224334,-1,969395,-1,927723,-1,539669,-1,-1,-1,409427,-1,-1,743808,575410,-1,-1,-1,-1,450807,-1,-1,-1,513046,383222,907735,66110,-1,86564,-1,713339,-1,710686,436797,-1,605446,80510,-1,-1,717715,410838,194195,-1,905840,-1,-1,-1,-1,557523,734392,-1,-1,575869,99854,1865,576397,23823,-1,841809,166021,997236,856877,-1,545845,-1,694716,-1,361183,8729,855912,-1,-1,221903,61299,21195,442957,-1,-1,79111,-1,-1,730308,50164,-1,-1,-1,498352,-1,-1,-1,-1,-1,-1,-1,-1,-1,781937,-1,-1,-1,370071,-1,113761,-1,353400,-1,-1,-1,894219,918378,-1,944262,836935,726261,607394,617847,-1,295200,813900,-1,-1,901278,-1,-1,651265,410008,866015,-1,-1,852871,-1,636153,-1,-1,805473,-1,-1,-1,121126,-1,-1,832724,940864,-1,-1,22587,-1,911345,781081,700729,582386,294463,-1,709398,238295,-1,979798,659182,591848,953973,584033,348443,576466,146958,-1,-1,679239,226507,200613,-1,-1,274302,650224,-1,-1,555836,-1,-1,786568,-1,506316,-1,-1,935183,831612,899224,962575,288175,-1,694167,-1,944350,412359,-1,312753,679332,-1,-1,-1,-1,556022,819460,869591,-1,94612,783033,274273,-1,-1,577135,-1,202695,276445,962591,96656,84228,-1,716228,405692,-1,53693,149665,-1,979534,110198,-1,-1,439242,-1,567330,-1,685569,-1,697401,389632,-1,833962,-1,-1,-1,-1,-1,-1,-1,-1,862647,628550,144317,993149,-1,-1,-1,-1,81615,-1,-1,217360,-1,-1,490528,-1,229740,-1,-1,-1,175116,-1,443610,293006,-1,-1,640085,994716,-1,932296,926373,-1,-1,-1,-1,176690,-1,-1,283198,-1,-1,919206,242597,243896,-1,745770,-1,-1,299433,-1,-1,-1,-1,-1,-1,526240,-1,539810,546857,-1,-1,704329,-1,-1,-1,668268,-1,778762,561989,-1,-1,-1,82693,20422,-1,518629,254963,110068,-1,-1,-1,380440,955964,-1,-1,861372,-1,-1,155251,288074,174276,356700,710588,-1,-1,-1,878127,-1,730424,-1,-1,-1,-1,-1,-1,100348,955582,328602,-1,-1,363420,-1,-1,699014,-1,-1,-1,-1,694144,101250,-1,299556,578546,37490,-1,-1,44749,-1,-1,824386,767222,-1,-1,-1,-1,524751,-1,576386,-1,-1,-1,21813,154875,-1,-1,-1,869114,-1,546037,660907,-1,258161,-1,218526,-1,650004,147778,-1,-1,319845,-1,395118,-1,-1,-1,833820,720043,-1,219031,581330,-1,980169,432716,-1,895278,-1,7216,882261,251625,417953,700841,-1,-1,-1,-1,69468,-1,225905,-1,-1,-1,-1,-1,-1,570461,855618,-1,185232,555654,202944,510833,511325,871823,-1,-1,-1,-1,752757,-1,-1,-1,324951,-1,197693,453127,-1,-1,57023,-1,-1,-1,800946,-1,57305,-1,897154,-1,-1,84010,-1,599037,-1,-1,501811,-1,844880,820837,-1,954206,520154,-1,-1,917326,154078,-1,260113,295090,-1,181695,282728,229038,-1,400575,-1,-1,-1,-1,142492,-1,9455,-1,-1,-1,-1,-1,-1,-1,-1,112875,-1,-1,-1,315047,-1,-1,516362,635104,-1,-1,940218,329993,-1,578961,-1,-1,-1,-1,-1,-1,-1,997219,-1,-1,-1,-1,940927,362350,71581,-1,430377,-1,377515,236002,-1,-1,-1,554205,-1,-1,-1,250555,778507,404002,-1,-1,-1,666062,907906,805307,-1,636229,844011,920412,55344,548950,-1,646886,-1,-1,72866,-1,724451,-1,-1,-1,89233,396414,-1,-1,814369,-1,-1,-1,-1,-1,-1,-1,471518,-1,613444,656220,80208,641820,-1,-1,264543,198855,69117,292564,-1,255007,-1,772034,872546,696122,-1,-1,-1,-1,-1,220708,158524,-1,639671,-1,-1,836526,-1,-1,127428,316619,468525,950459,-1,-1,889433,89640,-1,-1,-1,581091,-1,-1,812642,833862,27710,-1,-1,255893,870317,-1,-1,779110,753395,-1,714589,-1,77877,168281,-1,68001,-1,289122,251294,822187,-1,-1,-1,53949,-1,415620,-1,893131,449045,-1,-1,522463,446095,562943,662970,406668,-1,-1,326843,114415,888549,541362,613856,-1,-1,707783,242704,-1,506892,-1,-1,-1,-1,311965,718383,-1,884193,-1,188074,-1,306772,-1,184561,211589,-1,175296,286328,345322,-1,-1,838787,-1,-1,-1,-1,764802,-1,-1,7892,447344,480049,618691,-1,-1,653153,-1,-1,-1,-1,-1,352574,-1,151391,-1,949164,617510,-1,-1,-1,965787,713737,-1,646887,426947,692903,851286,-1,97313,-1,-1,-1,718496,285653,-1,-1,-1,-1,-1,-1,-1,-1,-1,293088,918482,-1,-1,-1,24522,-1,-1,79416,-1,116498,467838,943575,272012,50810,-1,611754,-1,-1,-1,132449,-1,891875,76081,-1,501298,-1,926667,513345,531483,-1,440303,704990,30902,950847,-1,-1,-1,-1,-1,13860,-1,-1,-1,-1,521740,42543,330037,-1,531158,125999,651135,886862,-1,-1,614557,174437,90177,716233,-1,189743,520878,727486,-1,-1,718864,-1,52925,949795,397272,-1,920644,682442,-1,259592,-1,96300,79340,416523,481103,-1,243975,873065,-1,-1,-1,15406,-1,-1,236281,-1,99672,-1,915945,-1,-1,127831,516745,129241,575707,43512,24524,-1,116744,13343,-1,601907,876133,-1,555198,-1,787675,38036,-1,147917,-1,506060,400273,836300,-1,43009,-1,-1,251534,280759,-1,468192,-1,681363,211285,334995,339541,-1,44838,-1,-1,821376,942712,297835,914590,939065,-1,-1,-1,-1,737709,-1,631718,206704,800591,349247,-1,686461,409166,-1,13980,315297,-1,-1,-1,-1,-1,710349,579529,765557,541845,991385,-1,208011,206204,337665,-1,-1,-1,-1,-1,756604,-1,-1,-1,127121,713080,464481,809438,-1,-1,-1,118596,195657,-1,-1,-1,-1,-1,-1,-1,129272,614454,696791,976488,222476,500213,-1,386678,-1,297088,-1,-1,-1,474111,-1,92791,-1,60180,-1,929677,-1,350589,-1,354829,565426,265746,206745,104744,50437,-1,339173,-1,-1,-1,609888,-1,-1,955950,-1,-1,-1,279309,-1,352691,511834,285302,687079,92575,-1,-1,-1,23920,-1,671572,192692,320304,-1,656652,-1,-1,141638,-1,-1,999192,-1,13306,218118,-1,-1,-1,877426,598267,238864,923274,-1,-1,-1,-1,-1,-1,-1,-1,661061,184002,-1,942455,914854,419056,842568,-1,216791,932777,-1,-1,942522,-1,-1,-1,-1,-1,-1,57525,-1,-1,-1,-1,-1,257899,642029,-1,-1,-1,-1,-1,73626,-1,-1,-1,636667,30384,87371,-1,402807,849891,318526,-1,-1,-1,-1,-1,-1,102816,456653,-1,-1,471961,-1,258512,-1,-1,-1,215866,-1,139418,46343,199545,-1,108718,-1,-1,984317,506840,121758,322175,-1,-1,223338,-1,848368,620040,338941,-1,663336,-1,-1,-1,-1,724628,361724,-1,-1,187512,-1,-1,-1,58373,243801,-1,-1,-1,645107,-1,-1,772711,563791,250468,345198,262286,-1,-1,-1,702738,-1,-1,993317,523287,-1,966992,-1,-1,-1,307745,63446,985294,258273,294108,-1,386812,903436,-1,859297,599687,-1,-1,264088,-1,-1,848045,-1,-1,219783,719874,935285,436474,-1,718746,656533,381869,-1,154467,529148,987546,-1,-1,755361,772937,-1,-1,-1,36287,39263,-1,990882,-1,348052,-1,-1,902973,528635,-1,-1,-1,29833,-1,-1,748285,-1,-1,-1,-1,686144,530259,-1,364395,-1,506699,-1,-1,-1,-1,347640,272672,-1,-1,330002,486171,-1,797363,634783,987905,-1,982427,168690,232466,-1,-1,-1,-1,-1,420142,615718,-1,-1,-1,654821,-1,-1,853169,449419,-1,-1,-1,-1,-1,-1,797162,858277,719893,-1,25651,-1,-1,504676,-1,-1,-1,-1,-1,654953,-1,-1,919277,256548,-1,-1,3844,-1,-1,553421,409686,981019,-1,-1,537257,793658,-1,304670,30996,574944,212885,252165,498034,-1,592775,-1,905806,-1,525315,-1,33410,500577,-1,60655,592818,61770,229657,398831,530162,-1,-1,798457,-1,-1,84818,935831,-1,-1,-1,-1,828652,-1,-1,-1,221333,712313,282836,59976,-1,-1,487651,211890,-1,940599,-1,629878,-1,-1,-1,692252,-1,147078,-1,205463,265668,386486,-1,-1,-1,200856,-1,-1,-1,895581,-1,375362,585806,-1,-1,-1,471415,282136,-1,982639,-1,951720,-1,751290,390036,-1,-1,-1,-1,-1,578439,447737,-1,649259,-1,503134,-1,-1,11135,268779,-1,633722,-1,-1,-1,-1,-1,29710,-1,878818,-1,55735,367524,-1,-1,-1,-1,35487,-1,-1,658627,-1,393162,-1,993819,-1,-1,111603,-1,-1,739304,-1,568641,-1,-1,492780,327296,64044,-1,996397,-1,97730,-1,561321,-1,499025,917965,-1,-1,-1,-1,-1,692501,-1,647616,225250,-1,805708,-1,331983,-1,17153,519741,697674,-1,467923,-1,-1,37642,-1,628044,-1,-1,163043,-1,-1,440948,742332,-1,663240,970861,-1,-1,583928,139737,-1,836719,459757,24916,-1,273212,419163,-1,993677,-1,276706,501067,567520,453943,-1,-1,-1,-1,-1,-1,-1,926393,-1,-1,17882,-1,602661,919591,439396,71850,-1,303089,-1,-1,-1,901984,-1,335118,681013,-1,784706,-1,437383,-1,421536,-1,-1,-1,395122,55938,-1,920803,15018,-1,-1,853381,260475,38616,-1,-1,-1,-1,991838,-1,650071,622086,-1,281312,-1,-1,590402,-1,-1,165525,-1,274780,969638,863892,971069,-1,-1,-1,605289,-1,-1,-1,-1,-1,-1,268010,677826,206468,-1,-1,-1,-1,948950,-1,283160,-1,-1,-1,40476,907838,-1,784424,877875,362787,-1,-1,-1,153412,-1,-1,-1,942927,-1,679909,-1,645838,-1,43904,882499,-1,-1,725323,-1,38588,-1,-1,909495,362412,-1,393748,-1,131314,351286,655013,-1,-1,-1,304372,-1,781557,-1,814400,442332,-1,990435,205642,-1,587674,318846,839922,467971,585548,-1,-1,-1,-1,-1,691782,36818,431563,-1,-1,-1,762736,-1,587002,52985,689228,-1,751663,-1,-1,-1,-1,-1,-1,211836,486228,521360,623322,47902,-1,-1,102464,874768,617883,739439,849169,-1,267677,168437,282781,-1,-1,928789,-1,-1,227289,687573,-1,-1,-1,-1,174901,421074,-1,616557,-1,285633,-1,253791,-1,327361,573095,20718,-1,-1,216786,-1,-1,-1,829603,-1,247728,503571,-1,791653,-1,513264,-1,848549,849729,-1,354848,173916,557456,-1,379777,126293,-1,262798,181787,849319,-1,-1,900532,220547,-1,-1,739221,970092,-1,519048,580258,453020,-1,55904,218489,470834,-1,912583,-1,94511,-1,281193,-1,-1,-1,-1,-1,369301,-1,-1,6534,746868,-1,370833,71101,522430,-1,-1,954949,-1,159088,77460,-1,-1,391071,-1,-1,360617,7631,767646,-1,911860,-1,-1,613779,-1,472190,909213,958582,944466,957820,-1,389780,565221,838510,-1,413836,-1,50719,-1,-1,-1,896966,269721,86197,749876,-1,-1,628222,-1,-1,754611,726043,-1,-1,-1,743973,816306,825158,-1,-1,-1,-1,133296,985355,-1,143296,717284,624490,484060,-1,770376,-1,-1,-1,276942,893723,-1,701471,-1,183363,-1,-1,-1,891845,-1,236288,606287,-1,955643,467711,-1,-1,9010,779131,-1,821573,-1,-1,-1,816615,613797,520870,-1,-1,-1,215283,49001,-1,-1,-1,-1,299458,459544,-1,-1,505545,474253,-1,956444,-1,48347,-1,334518,-1,-1,-1,-1,262983,970875,-1,-1,-1,-1,-1,-1,-1,-1,-1,428554,-1,593042,-1,-1,762211,326228,-1,92907,-1,-1,361869,-1,926691,375793,972367,645361,763945,838415,-1,-1,539795,-1,454853,-1,27802,-1,394706,552258,-1,-1,-1,297020,-1,25303,240944,98018,156060,-1,285121,-1,398710,61859,726740,-1,645439,911439,554643,-1,378279,31354,-1,-1,636036,-1,627162,986220,809346,-1,-1,-1,478382,-1,386393,-1,248250,-1,-1,-1,955861,289258,-1,667762,265158,-1,-1,-1,574861,-1,-1,443058,-1,233848,713187,791446,141771,764635,438586,698716,-1,-1,370854,712651,-1,-1,-1,-1,79411,498430,-1,107776,404666,835073,817450,592979,-1,242149,407711,398317,-1,55614,-1,996489,-1,744634,-1,690486,-1,-1,-1,-1,13021,-1,889426,-1,-1,-1,-1,-1,420115,792990,458595,283491,363651,-1,-1,-1,597575,-1,-1,974560,868648,-1,740556,-1,-1,67961,455708,-1,669107,495533,427407,293940,-1,429121,105086,-1,-1,225681,-1,-1,730658,710543,63291,32769,178960,758756,328408,-1,-1,317487,890167,-1,-1,243738,718296,744369,917835,291409,-1,-1,-1,608598,915228,430843,203653,886227,784417,-1,979969,-1,350247,551204,-1,-1,-1,-1,-1,396520,-1,659774,-1,-1,-1,538018,590926,443997,-1,862658,587245,-1,76682,925388,719248,462437,-1,167602,-1,39049,-1,444826,858993,364658,-1,305481,28683,-1,655732,-1,-1,827629,430957,369862,9678,-1,847084,-1,-1,-1,190043,753280,-1,-1,386864,480360,-1,-1,-1,792817,941165,217545,-1,-1,174622,621630,-1,-1,-1,-1,-1,-1,768683,640638,-1,-1,273907,156626,-1,-1,-1,-1,838809,-1,845692,726277,852872,351246,107907,-1,989424,-1,533434,-1,-1,-1,-1,-1,-1,99061,-1,-1,372179,-1,-1,661230,-1,377090,511454,935198,-1,611298,-1,-1,-1,-1,930615,125984,-1,946306,455357,-1,-1,186996,-1,104178,-1,142359,978304,-1,-1,-1,-1,-1,-1,210646,884582,-1,67424,159353,-1,788190,-1,383851,-1,-1,-1,868019,-1,715469,-1,-1,-1,-1,-1,46103,100267,-1,-1,975612,996151,-1,-1,-1,853279,-1,350996,-1,424596,-1,-1,903798,182498,776898,125865,-1,-1,103153,-1,-1,-1,-1,654817,121492,596058,-1,-1,-1,-1,-1,596335,-1,-1,300994,-1,573302,-1,617397,796655,-1,43616,306397,311800,-1,-1,372922,-1,644947,-1,-1,-1,149064,-1,-1,-1,-1,190590,651344,-1,655311,589224,482313,184674,-1,-1,95989,930463,817923,47007,-1,-1,83280,-1,-1,167104,416091,-1,-1,806057,8449,-1,-1,-1,843507,222250,-1,378046,225972,122258,72840,150985,982319,-1,787070,-1,959979,-1,-1,906906,655885,231328,301397,227328,761621,-1,-1,836423,187611,900634,427688,749052,-1,784719,600823,334782,-1,-1,-1,988681,-1,-1,-1,761928,321905,385453,-1,193761,581545,712353,-1,349893,-1,-1,-1,108544,-1,-1,592679,-1,-1,-1,281368,-1,491423,-1,10735,-1,101464,350888,-1,754209,603325,-1,703954,627028,-1,607992,401153,-1,-1,-1,-1,-1,-1,84143,-1,-1,7180,-1,-1,-1,-1,106769,243877,-1,-1,963976,-1,-1,129082,-1,473402,-1,320885,-1,723566,-1,178568,921068,985624,-1,363085,125621,-1,-1,96515,-1,-1,-1,890782,299618,-1,-1,-1,300547,138160,228904,-1,-1,-1,294126,991112,205788,843638,742225,100595,-1,416145,-1,430352,-1,397537,-1,204816,240812,-1,574285,596170,-1,-1,11607,-1,59402,412920,59774,771918,-1,-1,611592,-1,-1,482381,656093,797309,-1,-1,-1,819326,-1,269964,-1,-1,518333,983968,602277,601444,876485,620144,-1,377060,-1,173362,-1,-1,-1,131790,-1,-1,-1,-1,-1,569460,445940,-1,709217,-1,192754,-1,-1,206161,-1,-1,-1,252761,-1,-1,522863,577418,754612,-1,-1,757027,600816,376315,-1,-1,744241,691482,-1,-1,-1,-1,511182,349922,-1,723514,-1,-1,-1,832307,-1,-1,853461,733055,168013,497747,-1,-1,-1,647068,356469,-1,839950,14541,383191,604723,-1,80137,-1,-1,-1,-1,422790,566334,-1,439756,-1,-1,-1,51133,-1,-1,-1,-1,804417,-1,-1,-1,14986,334258,130762,26228,-1,-1,888130,7472,-1,914564,747928,-1,652540,-1,-1,837895,-1,-1,558686,-1,-1,-1,719239,997717,-1,105626,891625,-1,606487,392666,-1,-1,956331,388397,670541,248175,318428,85367,364684,-1,-1,259048,-1,51495,-1,23200,-1,179180,-1,403684,-1,935989,-1,784783,-1,-1,-1,942027,956293,951726,663909,666478,920440,-1,829970,-1,-1,124051,100746,654885,-1,-1,-1,-1,-1,-1,447587,365401,-1,890925,883127,856303,836682,474973,138640,-1,429293,451839,150399,725736,884943,161547,594103,-1,647254,-1,722828,-1,-1,98317,422411,-1,-1,-1,-1,-1,-1,516650,-1,540008,331059,365468,-1,-1,579265,-1,-1,-1,340318,290735,-1,59215,-1,829162,898335,601653,-1,46024,55316,245146,-1,389140,688099,-1,523999,562215,-1,932902,-1,-1,-1,743298,686384,-1,415660,-1,796402,703266,-1,-1,307558,-1,-1,-1,604282,-1,400497,-1,667231,-1,313000,346347,711102,749300,864929,638546,536730,885212,423528,-1,-1,728235,-1,330525,601238,-1,-1,-1,-1,-1,-1,411955,-1,531305,-1,-1,587797,-1,-1,-1,-1,-1,108379,392832,-1,960077,999792,-1,492921,741526,310307,736680,-1,-1,525796,632736,701338,-1,868086,-1,981423,-1,-1,-1,579091,-1,793706,644632,-1,652435,63030,687816,-1,447283,-1,-1,-1,163026,-1,-1,-1,-1,-1,-1,-1,847476,-1,-1,111102,-1,662009,-1,-1,657027,680027,234661,41145,976233,920180,571542,-1,769025,-1,281215,130483,-1,240498,-1,-1,-1,-1,942186,-1,605375,-1,-1,-1,-1,91859,380811,240663,-1,-1,-1,-1,504198,24014,-1,-1,36799,676540,853478,62244,-1,604436,-1,350700,115754,-1,-1,-1,-1,-1,-1,933901,811789,-1,-1,864084,868645,792180,-1,565279,78443,-1,77457,-1,-1,-1,537693,483656,724982,493164,-1,276943,-1,-1,982430,-1,857790,-1,-1,618831,-1,179997,419743,684538,594434,-1,766211,-1,-1,-1,-1,840326,-1,-1,-1,235573,457429,415116,-1,587661,-1,-1,399673,-1,-1,626422,-1,-1,-1,-1,-1,867080,240334,-1,912134,356025,-1,550578,712664,519019,-1,-1,283492,471405,-1,54425,-1,-1,823434,549472,-1,428336,87864,-1,-1,21511,-1,732497,642295,-1,590092,-1,710308,620171,-1,-1,-1,-1,-1,-1,-1,998524,227831,747627,-1,-1,-1,934452,-1,-1,-1,931059,-1,696879,-1,666740,274247,-1,105951,-1,-1,708718,613763,785629,-1,-1,-1,-1,-1,-1,-1,970890,-1,835868,-1,-1,-1,455470,903752,666931,482752,459352,-1,-1,-1,-1,988631,-1,-1,-1,-1,-1,-1,780527,414093,-1,-1,-1,-1,-1,742845,-1,-1,-1,424310,811297,-1,975910,-1,808191,983171,-1,175952,-1,546264,518540,692000,198224,313786,-1,937149,831116,434392,-1,924443,266556,-1,-1,761741,-1,390730,-1,-1,-1,-1,887766,305081,-1,-1,-1,-1,-1,97493,-1,146591,-1,82080,-1,631277,-1,-1,-1,-1,-1,36385,36907,-1,539074,-1,521364,864590,-1,-1,840300,-1,582442,428494,779085,-1,-1,-1,657508,-1,-1,771733,721637,858408,-1,911356,-1,-1,-1,498672,-1,-1,726715,616345,-1,774022,-1,703662,264155,-1,914639,465489,103683,-1,508994,841206,572821,213041,-1,647239,417563,-1,285157,743498,185044,-1,591421,-1,453947,-1,26200,187780,-1,159886,289200,-1,186535,-1,238235,-1,207139,839142,734901,-1,840384,745530,-1,-1,854603,950237,-1,-1,136213,-1,-1,769524,615381,-1,-1,-1,-1,336143,-1,-1,-1,-1,-1,431350,-1,171951,-1,-1,-1,889185,-1,-1,639415,870623,-1,-1,-1,-1,600796,425787,164743,-1,-1,-1,-1,-1,-1,519141,-1,451817,-1,-1,-1,12028,-1,662800,-1,765612,-1,-1,268157,176159,761271,784579,-1,142883,-1,-1,-1,754336,790324,489808,-1,-1,-1,-1,-1,-1,-1,-1,898279,686053,102514,231795,-1,-1,257880,571702,-1,270446,-1,705128,-1,310951,-1,326621,-1,-1,-1,-1,174014,-1,-1,202478,271557,-1,724583,714212,-1,-1,-1,-1,-1,-1,463318,978203,-1,933956,784456,-1,664813,-1,365952,790729,-1,627429,-1,747326,-1,-1,-1,-1,-1,-1,760366,-1,-1,-1,589081,674640,-1,-1,507857,614462,-1,-1,713468,-1,-1,-1,997397,933889,-1,617839,-1,460370,-1,826936,-1,370877,-1,-1,-1,393830,-1,160898,-1,-1,-1,793036,-1,-1,485925,586170,418601,-1,596543,-1,243630,-1,-1,66988,-1,-1,-1,152485,-1,-1,50165,47571,-1,-1,-1,-1,719443,-1,-1,567642,-1,504769,-1,464875,670008,-1,978223,72140,720034,981267,685270,-1,-1,63444,-1,422902,-1,615793,-1,812675,-1,183723,860980,679215,667914,37604,-1,362838,104056,-1,-1,-1,-1,-1,-1,-1,218505,-1,523037,-1,942680,64814,-1,-1,487222,632470,815805,671454,-1,654695,-1,974087,201669,-1,-1,-1,954675,817372,528682,-1,-1,551637,47372,-1,19159,-1,-1,-1,569299,759792,477783,-1,935864,-1,-1,678674,-1,-1,947597,-1,-1,540715,816736,-1,-1,-1,-1,680724,-1,-1,-1,-1,-1,868344,-1,78626,-1,429686,-1,145800,-1,-1,-1,-1,99344,348571,-1,491882,34013,-1,519735,-1,-1,-1,240270,-1,-1,948995,-1,-1,-1,-1,19341,-1,-1,-1,-1,125674,847845,893765,-1,-1,-1,-1,993192,-1,625009,-1,-1,180222,917108,-1,-1,696224,321009,-1,842633,469772,-1,-1,857395,-1,688938,371503,18132,-1,70817,-1,-1,96692,-1,979799,806968,-1,275201,805625,-1,-1,-1,355109,-1,412515,-1,879936,-1,516549,-1,-1,-1,-1,-1,554057,-1,-1,-1,254099,-1,-1,-1,-1,641279,584595,452105,153366,333621,-1,450018,-1,547939,502293,-1,-1,-1,-1,961253,518127,-1,-1,157645,-1,-1,-1,-1,237556,-1,-1,247166,106074,-1,-1,238414,-1,-1,127822,-1,-1,130152,-1,-1,296660,-1,-1,353135,-1,124624,-1,-1,-1,-1,182985,912811,237778,76424,-1,-1,-1,621674,-1,-1,-1,908850,-1,923009,-1,281059,-1,238009,382436,-1,419722,956589,993672,106501,872425,-1,-1,-1,205313,-1,646319,296492,-1,-1,616006,985093,349436,-1,282450,517316,-1,191180,268320,-1,-1,257450,317565,-1,273490,-1,-1,-1,-1,662450,-1,-1,664988,-1,957255,-1,-1,238133,-1,884367,-1,514547,-1,74460,-1,955984,732976,-1,250343,-1,-1,487215,-1,-1,382275,300970,983090,-1,-1,357837,-1,-1,67973,-1,-1,-1,-1,-1,177996,-1,600511,459717,703930,623019,-1,-1,430382,549341,-1,847851,-1,-1,4208,444445,-1,-1,181549,763431,-1,-1,504615,332663,200585,233454,1779,53575,-1,-1,-1,-1,304335,-1,-1,530292,43682,396585,277632,711448,493001,619288,-1,156859,-1,-1,-1,-1,479657,-1,534892,729860,-1,571983,466761,-1,540265,-1,-1,495812,-1,-1,-1,147497,506829,-1,-1,-1,-1,132688,377836,-1,-1,311539,-1,801045,-1,-1,242959,588149,820299,-1,280344,298403,856795,520759,944175,-1,310340,608860,876644,112993,-1,197242,-1,-1,-1,293365,-1,840417,784918,-1,418066,-1,-1,820057,-1,-1,-1,544955,-1,468235,-1,-1,218232,-1,888511,-1,790343,94027,540676,520922,486666,-1,-1,-1,623628,564588,-1,-1,718092,919562,-1,627205,-1,-1,92428,223454,-1,116225,-1,-1,180899,-1,101535,787253,30378,687640,854940,400821,928253,-1,910723,-1,-1,-1,596668,-1,-1,913038,-1,-1,-1,685915,-1,-1,-1,637910,834030,731547,408221,613893,-1,-1,118892,28035,458903,720586,-1,494551,606500,207140,313069,375458,487424,980579,-1,493389,-1,-1,437234,-1,940956,211990,95283,-1,-1,-1,-1,-1,-1,388375,-1,-1,31771,-1,903501,-1,-1,10138,531577,839172,-1,337200,979501,264099,-1,-1,38145,-1,574383,-1,270602,724555,-1,-1,578995,-1,-1,873302,345471,590428,900019,-1,330252,773015,810022,950674,-1,-1,-1,269937,-1,-1,916578,-1,354193,509078,-1,-1,301524,687366,-1,914407,926735,726330,47032,-1,558483,-1,-1,414787,-1,-1,-1,158290,497147,-1,-1,775638,389129,621395,455612,-1,930002,-1,-1,473609,894106,766690,240400,-1,-1,345576,559168,-1,-1,970063,438425,340928,-1,968068,18459,-1,-1,-1,-1,185696,-1,-1,992112,-1,278933,-1,-1,-1,162883,85111,196610,81112,-1,581793,384137,162484,-1,-1,-1,988735,159210,893474,211966,461826,-1,-1,-1,-1,242441,-1,-1,-1,-1,980558,825793,404744,370201,695758,-1,-1,289755,556000,-1,-1,-1,663927,-1,-1,-1,666013,96534,-1,363747,271635,-1,224656,378239,-1,-1,-1,-1,-1,-1,-1,694812,309845,-1,599210,-1,755265,-1,733140,697096,691627,-1,482044,-1,478264,-1,677455,462586,776435,-1,-1,388782,-1,-1,669663,729771,-1,772502,203635,-1,-1,-1,-1,204186,818108,686880,-1,-1,-1,-1,-1,916775,-1,779212,754527,931991,258541,-1,-1,-1,-1,868157,-1,-1,656438,593720,-1,-1,721959,-1,223535,-1,-1,132052,155934,-1,676730,648429,158539,6346,145811,-1,-1,-1,382446,600390,651745,-1,656455,-1,794548,347552,-1,-1,-1,221225,-1,503409,255615,1915,94961,456468,-1,-1,245837,78254,855386,-1,554363,588365,876476,84288,138879,-1,699665,-1,-1,849835,124317,-1,595729,825889,-1,-1,905098,213840,-1,438476,-1,298127,800700,-1,-1,-1,-1,731299,241855,60599,-1,-1,-1,-1,-1,124587,-1,105266,-1,238153,845585,25991,-1,-1,-1,278593,-1,-1,-1,-1,-1,-1,-1,-1,207785,283460,-1,-1,526498,136082,269407,13428,-1,230616,357319,-1,719115,-1,986472,530800,-1,319273,828965,-1,-1,22947,453908,560923,-1,245851,-1,26335,967094,-1,276635,129050,-1,-1,651176,944914,-1,633611,49387,207278,474468,-1,-1,-1,60304,-1,-1,76795,-1,-1,374045,659277,-1,-1,-1,-1,530320,-1,-1,-1,-1,249099,449864,-1,-1,-1,-1,-1,365108,714935,178562,521038,-1,-1,-1,333021,519620,837593,390951,-1,999474,185927,-1,822523,-1,238365,137863,755012,-1,-1,-1,-1,953904,-1,236981,187927,-1,463942,199225,-1,-1,-1,-1,624597,-1,-1,-1,-1,684658,-1,-1,-1,-1,209452,511135,240631,-1,-1,-1,878716,-1,-1,644309,942057,-1,-1,671443,-1,494258,-1,-1,401547,-1,-1,590755,307519,327716,641083,796893,891635,788054,382348,-1,-1,-1,-1,469095,626362,-1,-1,374504,-1,354148,-1,-1,-1,833328,-1,-1,533,-1,-1,920799,-1,165872,133628,-1,232589,860952,747802,754979,-1,75610,300396,-1,772365,873386,845946,803283,192107,913236,573967,183880,-1,-1,-1,-1,-1,674539,234534,-1,239849,502835,719876,-1,-1,870135,166735,676565,900774,977247,-1,385663,619975,514015,305791,-1,509049,-1,-1,144494,-1,-1,-1,-1,-1,903302,-1,157355,-1,244702,788349,-1,-1,256140,-1,-1,453261,64313,667112,-1,4748,762163,117231,472954,423159,90665,891949,185849,768786,248128,-1,689884,658921,761475,-1,-1,-1,612268,407928,-1,19284,92648,693614,79419,-1,843534,-1,299757,-1,-1,-1,-1,-1,221650,-1,209217,-1,115984,-1,867115,-1,-1,370012,6868,-1,-1,844805,876795,52395,932171,-1,-1,-1,552431,714102,81046,15185,-1,-1,-1,171975,-1,-1,-1,734762,-1,539012,326826,-1,215632,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,623947,-1,955731,669748,606421,596071,346929,855881,-1,162538,-1,-1,609666,-1,-1,-1,-1,-1,817949,614750,452945,252848,-1,558202,371032,-1,-1,924771,-1,-1,-1,-1,-1,-1,-1,-1,292890,-1,-1,-1,-1,762056,-1,-1,358430,154953,502299,-1,890573,-1,942358,47510,-1,384737,-1,620164,-1,732752,-1,-1,384981,-1,-1,-1,-1,-1,734880,35722,-1,-1,-1,833973,-1,-1,170654,889365,-1,443937,116621,-1,73232,-1,-1,460679,-1,556245,-1,-1,-1,758625,411898,946620,-1,521611,-1,-1,277885,-1,329622,968400,-1,-1,-1,-1,983191,801175,386914,512322,407962,24808,762550,-1,570131,-1,995447,480082,-1,-1,558729,-1,773614,-1,559918,-1,583375,-1,22311,934264,577078,-1,-1,-1,635857,712362,-1,969317,840598,-1,465950,-1,-1,472725,644957,-1,100202,-1,-1,-1,-1,876723,-1,450826,-1,-1,618164,107918,595359,771657,940055,874757,127799,923017,-1,-1,221124,825967,-1,271952,713884,341771,385283,-1,550201,-1,-1,469518,-1,783919,-1,572523,-1,-1,780196,-1,45528,53604,-1,835507,-1,-1,353599,463448,-1,-1,-1,457165,670819,-1,833229,554779,-1,986573,-1,-1,746448,-1,-1,524617,281201,-1,-1,-1,208082,-1,264169,-1,-1,477633,-1,722811,532920,-1,-1,-1,504865,-1,-1,161464,-1,555285,345318,-1,135402,-1,-1,949129,318422,-1,140035,568495,89379,-1,-1,849178,715917,427991,-1,-1,-1,-1,-1,-1,-1,359272,-1,88595,-1,-1,-1,507776,52975,686078,-1,-1,379810,627263,-1,668649,-1,-1,811024,567100,164039,-1,448254,-1,-1,632041,-1,798384,-1,-1,-1,-1,255796,-1,247979,835301,-1,625532,910841,-1,-1,963634,-1,85864,791399,-1,391439,-1,546546,-1,857609,-1,-1,-1,-1,-1,-1,-1,858133,-1,-1,-1,-1,-1,786756,736060,-1,868775,500537,-1,-1,441872,176001,-1,551335,-1,294327,-1,830343,-1,522443,297964,-1,124765,335268,480911,-1,-1,413173,691203,939598,564524,-1,-1,-1,-1,-1,57606,-1,-1,133921,895225,469606,732252,-1,843495,861244,-1,-1,-1,662954,-1,-1,-1,424487,322442,-1,-1,546076,843452,989206,-1,-1,234497,-1,327998,-1,-1,-1,-1,-1,246916,-1,-1,333018,-1,27089,492441,-1,327045,690019,-1,112438,689374,517639,-1,646199,-1,-1,884205,59009,574191,-1,-1,470059,-1,-1,-1,-1,640406,-1,587359,-1,110234,-1,673759,675592,-1,714201,548937,-1,-1,206749,754189,-1,300240,419217,-1,-1,480792,-1,-1,186828,-1,-1,-1,-1,-1,144335,241416,-1,9376,-1,-1,62714,-1,930291,306554,-1,897346,597988,-1,296090,354215,-1,-1,-1,680369,-1,387014,-1,-1,-1,-1,501060,836273,-1,-1,151750,76160,58887,-1,-1,347985,-1,-1,-1,150768,-1,950384,-1,612965,-1,-1,436984,-1,-1,524961,-1,-1,396852,-1,-1,-1,-1,276367,-1,-1,-1,278738,78457,195373,-1,-1,252584,-1,-1,978085,-1,-1,297500,550675,56461,913808,-1,898514,-1,-1,-1,355192,-1,-1,777083,-1,799946,145026,364358,598500,388209,-1,-1,-1,-1,519895,-1,-1,319188,479821,206701,-1,199916,27942,823315,101431,-1,-1,-1,-1,-1,292533,658629,331069,755735,849735,861126,762152,-1,663920,-1,-1,666354,-1,-1,611650,-1,-1,-1,152968,-1,-1,-1,273471,-1,-1,430402,806785,439802,74560,316043,37401,-1,-1,-1,414413,127066,693410,701668,-1,-1,410556,698509,656969,-1,-1,-1,591756,-1,-1,-1,-1,-1,-1,-1,-1,593023,-1,165875,480074,473186,341913,790308,914991,-1,350642,159154,-1,-1,865706,-1,843798,146629,275259,129844,788913,-1,376097,883331,-1,-1,-1,207894,400411,505588,654113,527527,271041,-1,929247,264725,-1,-1,-1,605503,724685,-1,-1,-1,-1,545684,521410,-1,-1,-1,-1,267595,657149,-1,407150,835676,18074,789233,749812,876373,-1,-1,599388,-1,-1,-1,905853,899022,-1,133337,832491,-1,-1,-1,-1,903238,582514,615667,96383,182605,21266,-1,-1,393125,-1,-1,759984,-1,-1,243811,492887,912185,969794,-1,426636,-1,-1,702505,769530,205061,96352,-1,-1,-1,-1,-1,264782,117539,613259,367893,-1,-1,124727,-1,-1,819430,302356,884689,473865,849163,-1,-1,-1,197677,-1,-1,-1,-1,-1,-1,-1,356220,-1,305790,-1,563131,932629,-1,665453,-1,855514,369569,184223,-1,-1,866249,200030,109452,168652,791816,251808,173797,836820,-1,46893,-1,879504,831796,387009,132155,-1,517005,307642,830102,65117,-1,-1,-1,-1,-1,-1,-1,968767,-1,693577,299547,286320,-1,153221,80654,68404,-1,-1,-1,-1,-1,885251,736942,-1,-1,-1,144799,614195,-1,239372,99631,81888,-1,-1,298711,83855,696457,66403,-1,-1,-1,-1,-1,-1,-1,-1,790017,-1,141590,-1,196718,547309,-1,819997,-1,835013,439184,-1,702464,34809,-1,-1,-1,986086,442901,54096,415978,217712,-1,-1,-1,-1,-1,398208,-1,-1,-1,-1,28729,-1,-1,-1,-1,823918,878708,-1,782730,183758,799309,-1,-1,-1,-1,152490,-1,728261,947444,-1,-1,907207,826255,553246,540651,-1,846959,-1,646676,289362,-1,-1,-1,562405,-1,-1,-1,797668,-1,-1,-1,825959,390532,29378,339795,-1,-1,175973,921709,-1,-1,690367,642610,695085,-1,-1,-1,-1,-1,-1,840291,-1,-1,471557,-1,-1,-1,59234,92629,633255,307192,424297,165496,-1,-1,251988,607651,202497,846493,-1,-1,754496,-1,688472,171810,-1,-1,-1,-1,831466,399633,158999,-1,-1,-1,944484,432347,-1,-1,128397,-1,559574,301164,629637,232063,721911,-1,-1,-1,-1,-1,-1,-1,379353,230447,454156,261944,-1,981765,943045,-1,737,-1,-1,248458,-1,695018,-1,567122,-1,743571,-1,-1,930350,-1,-1,149416,473788,435935,-1,464053,-1,487909,826357,75261,-1,945774,-1,-1,202578,272571,640471,155245,81713,-1,-1,719887,-1,-1,-1,104589,-1,244398,307257,580881,-1,718264,304668,684725,538812,832749,-1,-1,-1,820802,422030,-1,-1,460967,-1,-1,181162,105281,-1,-1,867611,-1,19219,989744,-1,-1,-1,-1,-1,-1,692025,430019,16537,560493,54600,-1,-1,446540,518870,-1,-1,566310,72599,993525,319603,837952,605793,-1,849954,-1,737217,-1,89051,39596,983911,-1,-1,-1,-1,-1,-1,392338,400409,-1,-1,-1,-1,-1,394540,910857,-1,738440,157095,281689,958997,731258,-1,-1,-1,-1,-1,973586,-1,74144,320133,-1,109061,-1,497134,896983,-1,-1,185667,721779,-1,253937,-1,823004,-1,-1,322244,-1,787268,-1,397878,137932,735788,-1,920362,406829,263696,-1,836358,-1,-1,-1,-1,713631,-1,145446,-1,163805,-1,221498,285960,244316,-1,-1,-1,813783,-1,990332,-1,943610,-1,971662,-1,-1,-1,736415,442415,573773,980527,147335,-1,-1,575993,-1,471526,-1,306027,-1,317479,839121,-1,-1,-1,198160,874105,249685,-1,777416,-1,689815,-1,407974,-1,317807,-1,243017,251821,-1,-1,-1,-1,184253,163182,341853,499854,156173,-1,-1,783840,510892,-1,581278,-1,-1,976297,-1,643819,-1,-1,464063,-1,830933,-1,-1,-1,-1,-1,791892,-1,-1,-1,-1,-1,-1,734118,-1,702172,500515,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,458500,-1,-1,-1,345935,-1,-1,491663,249626,-1,613775,-1,283415,-1,-1,-1,-1,350158,-1,-1,-1,727279,-1,964995,821706,-1,-1,187454,723225,-1,-1,-1,-1,-1,791064,-1,-1,325030,528364,59543,443700,855145,-1,-1,-1,328076,-1,-1,377554,-1,699823,107960,-1,970411,372461,125475,-1,129536,367277,332370,-1,340354,-1,266996,-1,-1,-1,781365,-1,411922,-1,-1,-1,-1,975706,-1,422789,-1,-1,-1,967262,643250,407585,-1,346003,1984,-1,309547,457529,791087,387631,179382,863259,-1,235776,436841,812135,-1,-1,-1,-1,245874,471897,-1,-1,-1,36416,-1,-1,-1,-1,729790,-1,-1,769593,73015,196130,288845,337847,832871,-1,880156,-1,185293,-1,-1,1276,168357,203611,-1,273732,-1,-1,230401,-1,-1,-1,-1,-1,-1,885137,-1,882742,462203,-1,-1,-1,-1,298376,-1,-1,896593,873784,770526,334926,-1,-1,-1,-1,150640,-1,33418,480173,-1,-1,378289,-1,-1,-1,850249,730052,749567,-1,267511,-1,715772,-1,114449,749199,398968,321097,173778,-1,395101,-1,-1,-1,-1,-1,-1,220040,703519,-1,-1,319801,-1,384506,-1,651147,-1,979330,-1,114630,-1,153278,76188,760216,-1,-1,467682,100165,-1,-1,872884,-1,-1,973588,335581,-1,1867,147754,-1,-1,-1,790056,718253,-1,981398,-1,-1,-1,-1,-1,-1,880039,616028,-1,298712,-1,-1,501399,933437,-1,443814,882286,-1,-1,-1,-1,778603,-1,380941,655041,-1,971323,-1,748726,421588,360121,684373,36231,-1,205223,-1,-1,736681,-1,-1,152562,-1,475757,-1,-1,-1,-1,-1,-1,355971,-1,569321,-1,-1,-1,-1,-1,-1,465813,483926,-1,-1,461648,577393,-1,-1,-1,722257,421742,180537,-1,-1,-1,-1,63569,-1,606901,707542,984841,-1,802701,128576,-1,901612,228263,646436,-1,-1,-1,450096,-1,337398,-1,-1,856194,-1,888178,-1,354718,-1,-1,-1,-1,-1,71899,-1,145875,-1,683972,-1,418643,-1,827105,-1,-1,-1,-1,-1,796682,-1,401347,203828,198384,600996,-1,-1,-1,-1,329290,676679,681791,538172,-1,309770,669529,-1,-1,219644,591897,-1,-1,356234,660962,-1,-1,-1,319178,699338,360781,-1,-1,-1,562948,-1,-1,-1,304280,617682,767245,213657,-1,-1,-1,520336,-1,-1,177749,-1,-1,-1,-1,115432,-1,740371,-1,712941,287799,355773,-1,-1,156040,357589,-1,867477,764739,946302,910851,-1,328428,-1,-1,163084,-1,-1,-1,-1,-1,256705,305741,-1,-1,982480,745976,345956,466966,-1,-1,-1,-1,-1,-1,959275,178892,-1,974115,655493,-1,852492,245194,926670,-1,982677,642910,937734,564694,-1,619534,752592,361005,-1,389599,-1,-1,-1,-1,792912,-1,-1,190508,-1,417624,47086,-1,-1,686115,138757,-1,-1,-1,88823,-1,-1,-1,-1,317721,-1,869674,917710,-1,-1,-1,-1,-1,17227,-1,-1,-1,-1,576127,907717,-1,382817,602461,-1,-1,-1,256698,-1,414585,575705,-1,809926,242266,-1,710038,606131,191052,45318,344128,-1,-1,-1,769217,470557,-1,288427,-1,584135,299004,18663,544796,541217,23236,914145,822960,-1,745100,-1,957515,471593,-1,-1,779054,-1,520544,-1,-1,-1,-1,-1,81010,-1,-1,378215,-1,375434,352053,-1,337199,84744,151712,-1,-1]; r=[516029,209974,917097,-1,-1,-1,345040,-1,902350,-1,379538,-1,640450,768958,-1,812867,-1,-1,494829,149733,-1,944063,-1,-1,-1,-1,-1,551736,-1,-1,369016,-1,897221,849182,-1,709569,-1,702443,-1,942006,-1,425995,629884,-1,594707,648659,-1,-1,-1,-1,-1,12662,667917,886645,781018,-1,-1,830759,-1,549514,-1,613129,-1,551375,217832,-1,-1,-1,-1,275351,391825,962429,174387,-1,-1,-1,909226,-1,710463,920277,287958,-1,-1,-1,-1,-1,294703,248995,-1,552748,422747,708974,363952,-1,751031,-1,-1,50670,-1,-1,76181,-1,-1,396779,787194,-1,-1,-1,-1,262914,459042,-1,918453,-1,-1,199655,-1,-1,-1,777510,-1,-1,-1,-1,10644,271225,710473,860093,-1,-1,-1,548864,-1,315041,231780,119726,918029,-1,-1,-1,142148,-1,-1,444860,772547,-1,-1,213936,-1,271136,-1,825640,-1,-1,-1,-1,736632,409734,-1,-1,-1,-1,127562,383229,-1,-1,-1,-1,-1,551820,-1,261872,82985,-1,-1,-1,-1,-1,574032,964006,530331,-1,393693,774510,809151,-1,670379,139509,461155,405096,-1,-1,-1,-1,744542,-1,831162,-1,820021,348477,-1,-1,995492,394948,225023,479320,261973,-1,-1,-1,994408,-1,-1,-1,678300,-1,120641,342747,-1,523508,450201,746404,292255,-1,-1,33013,920541,439992,546682,-1,-1,922629,-1,23635,856854,-1,289581,713974,730229,48974,509172,-1,478023,-1,363861,-1,470382,644502,122972,-1,-1,590407,257970,-1,-1,-1,-1,-1,-1,-1,-1,245904,-1,-1,-1,963593,-1,-1,807436,-1,727754,120279,-1,494656,341729,-1,15629,-1,-1,681553,199830,-1,-1,381584,-1,11934,-1,421351,-1,-1,561660,409558,-1,460101,-1,11911,935221,943334,-1,550924,-1,282423,-1,-1,655104,-1,-1,-1,889025,985314,-1,-1,598130,-1,422853,274370,-1,810457,-1,366400,-1,-1,716196,498450,-1,-1,223345,903218,683123,169398,426511,39666,791297,581458,542900,-1,-1,-1,-1,736896,-1,-1,-1,267366,-1,989268,-1,32301,-1,3501,215160,216341,984563,-1,434472,891587,791785,-1,907892,-1,2627,-1,189384,336092,-1,620695,71432,266645,996607,453428,730844,-1,714836,530297,-1,-1,680978,-1,-1,889803,-1,-1,-1,944855,-1,-1,288784,289047,476822,65310,31483,-1,909128,779767,885831,-1,-1,-1,118490,763953,-1,-1,-1,-1,-1,-1,949243,-1,216583,-1,-1,83153,242836,208470,-1,-1,691873,-1,-1,684022,-1,-1,-1,125853,973440,-1,113557,-1,420068,-1,-1,-1,-1,815494,-1,-1,-1,-1,-1,-1,265974,674572,-1,-1,-1,-1,68483,-1,-1,468052,-1,426146,476000,-1,139301,446033,378977,102734,399255,-1,535645,274264,-1,-1,171151,571750,-1,351953,616191,-1,262807,-1,-1,438438,-1,-1,641086,915695,607300,159294,592880,-1,916401,-1,-1,546286,743306,8106,956467,-1,229193,109550,-1,458884,650505,-1,6471,552514,989949,159868,-1,720974,-1,-1,941433,-1,-1,-1,-1,-1,638151,712185,673259,518692,-1,-1,-1,174664,-1,256133,-1,-1,-1,-1,-1,-1,978550,-1,-1,-1,-1,-1,554147,-1,644924,282793,39359,-1,90352,-1,-1,60371,609846,-1,563189,-1,96111,-1,440675,-1,-1,-1,-1,-1,828208,396909,887803,-1,763103,326694,-1,-1,-1,-1,-1,-1,701610,-1,926886,848052,-1,304687,-1,-1,-1,-1,-1,489045,-1,-1,883979,449053,-1,358833,-1,-1,744971,-1,422479,-1,256153,533948,10569,-1,-1,295390,-1,-1,-1,-1,-1,-1,-1,892348,594861,-1,828808,390107,-1,63007,-1,819525,-1,-1,-1,102819,566812,-1,-1,320475,897694,-1,-1,685057,644812,-1,-1,-1,-1,-1,30740,-1,-1,-1,53352,380413,-1,871166,444243,712856,-1,-1,-1,-1,-1,-1,523066,-1,-1,62000,-1,178380,-1,-1,-1,-1,-1,608901,777430,-1,-1,-1,566632,-1,938580,268720,854749,-1,-1,-1,-1,286270,-1,-1,-1,-1,-1,214113,-1,-1,-1,507435,448425,750722,266485,-1,53993,842946,-1,354,-1,-1,884433,-1,-1,-1,-1,264777,-1,-1,923368,-1,571608,-1,650639,-1,565096,-1,300272,-1,-1,-1,399112,-1,-1,-1,-1,-1,-1,80364,-1,932421,250842,-1,982640,957214,-1,-1,714076,-1,-1,280002,-1,905892,-1,861764,-1,-1,-1,-1,853376,-1,967832,-1,2256,571861,-1,-1,431577,-1,-1,-1,243987,-1,998891,364219,-1,100494,-1,150595,-1,886821,-1,87768,-1,305543,631462,-1,322338,-1,-1,-1,517590,-1,438005,666229,28723,448280,604535,-1,805676,-1,-1,233311,-1,961212,829455,-1,738052,-1,295999,389831,826519,-1,597380,357888,954499,747850,647178,-1,391715,-1,-1,-1,20704,-1,268584,-1,422031,-1,-1,408646,-1,871161,592142,-1,-1,940922,-1,489857,129275,907593,-1,861566,447760,185893,-1,-1,-1,704182,280762,542100,821978,-1,-1,990814,161312,291504,-1,132408,-1,-1,666211,-1,462544,92082,707133,-1,179323,125113,-1,441331,88037,647278,-1,692142,950940,271729,636159,435311,-1,537521,921881,872321,341261,696040,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,342803,429393,284818,168069,573049,-1,972576,702005,-1,754418,-1,-1,34191,-1,728813,454129,806827,722605,589348,261758,20710,11262,234720,608618,-1,649326,-1,286164,-1,-1,-1,933096,166877,-1,-1,349095,-1,-1,-1,-1,-1,-1,201957,498696,148077,762118,356171,531489,-1,23884,-1,75875,-1,-1,-1,873259,-1,619056,-1,-1,-1,848184,-1,93654,-1,808700,711224,-1,735751,260179,599754,827204,632110,-1,857908,27278,-1,797230,878154,-1,752614,-1,591156,-1,62477,903550,439303,-1,335769,-1,273130,-1,767080,-1,-1,-1,165482,546317,-1,462702,-1,818328,-1,-1,741742,-1,-1,741292,154157,655309,934876,-1,918877,240803,-1,371019,117552,702539,845506,-1,224380,-1,76686,-1,589280,280194,96090,735004,703498,199526,-1,-1,-1,-1,-1,-1,-1,512783,-1,-1,-1,195805,-1,-1,175108,392641,-1,130331,567953,-1,849505,888848,44093,872692,404420,-1,406708,389532,-1,14899,-1,-1,-1,242,-1,-1,842910,-1,641787,-1,-1,100527,799665,535100,-1,-1,-1,-1,-1,674896,685775,-1,426980,90331,-1,209937,868561,-1,-1,-1,-1,-1,-1,-1,250998,-1,555791,-1,665498,-1,-1,-1,329422,-1,-1,-1,707277,-1,-1,-1,796702,-1,-1,542001,-1,-1,-1,-1,624617,-1,737365,-1,-1,-1,643100,655227,127663,-1,-1,-1,-1,946440,-1,19318,935546,472676,-1,-1,-1,923440,-1,873279,-1,-1,-1,128993,949599,-1,281862,25315,-1,-1,-1,801837,693628,205753,104029,894093,-1,817577,-1,44351,250244,60476,662481,684362,921091,-1,413481,-1,414318,836650,-1,-1,-1,-1,-1,827124,481899,806130,595602,-1,32030,-1,-1,-1,453667,97043,-1,616562,103269,989414,300569,528319,287195,-1,-1,595003,503494,631052,70498,123959,-1,117996,-1,837383,45448,316568,352646,309987,993649,567987,12864,-1,82032,-1,948458,334179,-1,-1,-1,994431,7717,-1,-1,-1,-1,-1,-1,239068,714731,66560,212769,-1,92190,268802,-1,-1,664931,280712,-1,251746,351904,227743,233255,22589,817569,-1,713326,-1,-1,175501,533270,-1,807277,83421,-1,829784,-1,-1,-1,-1,71756,-1,-1,-1,-1,-1,253016,-1,510936,-1,-1,473914,771355,396666,-1,833525,-1,202282,-1,-1,-1,-1,-1,56146,675456,312758,602569,127642,49005,-1,-1,478343,650114,63355,-1,-1,-1,607511,130096,804136,-1,393969,-1,598712,525369,-1,-1,743355,77183,841451,-1,595147,-1,134338,-1,-1,415793,-1,-1,-1,885069,80474,-1,994629,-1,249850,-1,256435,979637,-1,955401,304110,307457,-1,-1,-1,143617,-1,854894,182904,-1,147064,345584,554601,610504,-1,724981,-1,-1,-1,-1,299380,-1,670929,226837,-1,717817,-1,-1,185433,212543,-1,-1,719394,-1,-1,410221,-1,318225,914175,410274,718874,582211,-1,966108,308959,-1,-1,-1,448677,253078,-1,754466,-1,999610,-1,487012,723885,96229,-1,-1,218843,143248,-1,667342,141027,-1,632451,-1,1013,-1,708691,148621,-1,961662,-1,589321,821716,838357,-1,-1,23582,-1,-1,-1,-1,857920,45854,470066,-1,-1,-1,-1,-1,-1,-1,-1,408355,452804,-1,390214,939092,571776,-1,-1,670775,847848,943349,94482,83709,519995,925756,-1,-1,-1,-1,-1,-1,337418,219166,-1,-1,-1,812665,803136,5117,950525,-1,727397,-1,51725,378375,-1,8049,-1,-1,529709,-1,753969,-1,503537,304922,-1,-1,-1,416113,-1,-1,-1,-1,-1,630802,717522,155501,-1,816387,-1,-1,-1,588033,286322,-1,-1,-1,-1,423076,270840,-1,364873,752416,-1,-1,591653,834902,872850,775093,7238,467976,682171,-1,913512,562020,-1,-1,756159,956668,-1,253184,-1,2378,-1,-1,423601,721279,-1,-1,-1,26073,959338,-1,-1,-1,880858,173457,-1,452010,-1,513173,-1,-1,-1,207852,634747,-1,-1,-1,184115,818653,868395,-1,831167,-1,-1,-1,680763,-1,-1,940720,51140,-1,-1,397905,51951,-1,194549,-1,-1,-1,269998,-1,518128,908247,-1,-1,-1,-1,-1,-1,142573,80446,242999,-1,-1,-1,-1,-1,-1,-1,931386,-1,-1,-1,874699,56577,254821,622141,-1,154869,-1,114483,354433,49667,-1,-1,956764,-1,834247,165608,-1,689950,-1,404882,871026,-1,-1,-1,430322,331143,529944,-1,-1,261918,773362,284944,474740,-1,653236,-1,-1,140510,218041,861133,-1,-1,93420,-1,-1,90788,-1,224355,807496,-1,-1,-1,-1,25510,-1,773742,-1,696012,-1,792839,-1,-1,638851,406584,-1,-1,862675,37799,602718,317522,282534,286335,-1,-1,125368,-1,951506,-1,-1,941695,605147,23953,-1,-1,69760,-1,-1,-1,306606,-1,-1,-1,-1,-1,777894,157192,-1,-1,-1,786636,205437,-1,-1,788125,846082,744811,-1,223919,888339,288394,-1,-1,401508,370534,-1,-1,-1,190918,-1,-1,-1,-1,44678,56666,-1,741549,594200,-1,-1,-1,-1,209656,821329,910492,230791,-1,-1,-1,817022,730869,-1,-1,-1,43874,100466,-1,-1,720867,-1,-1,778436,-1,459273,88782,-1,-1,835051,-1,334076,-1,495392,-1,-1,914944,-1,810926,-1,42752,259491,-1,-1,919988,88416,5213,321594,-1,-1,-1,-1,420401,-1,34400,120347,-1,877560,-1,-1,-1,-1,159335,-1,241195,-1,377043,-1,729463,279275,-1,380173,477825,-1,-1,-1,684894,-1,-1,863573,646983,563931,-1,-1,-1,-1,-1,905493,993361,-1,810283,-1,-1,-1,524141,-1,900865,933597,584086,-1,977917,-1,-1,-1,-1,877916,-1,-1,-1,-1,-1,532374,722737,-1,580758,-1,310252,467361,480914,879107,-1,978309,-1,321,-1,-1,71460,-1,800891,702814,-1,131083,700677,-1,126266,17772,531894,-1,-1,841940,568510,-1,436647,-1,922642,565194,-1,466642,897176,540297,-1,-1,-1,-1,863532,503476,702579,-1,-1,472990,-1,-1,894906,-1,-1,212308,334681,-1,727357,539151,766670,-1,-1,717973,580229,677477,-1,-1,-1,404394,787319,-1,506465,-1,-1,-1,-1,-1,-1,737889,58664,339954,-1,-1,-1,-1,94367,-1,-1,220158,798813,833171,505641,-1,284326,-1,103794,867402,-1,118351,-1,-1,716000,932728,-1,777968,985029,447758,-1,-1,931055,115907,130780,-1,-1,-1,213758,449447,794652,772575,-1,-1,589442,932942,-1,-1,-1,-1,642457,299532,487941,926179,-1,512933,-1,-1,372277,-1,-1,31029,915612,726127,-1,-1,-1,482469,-1,-1,847031,-1,395858,280867,308833,607340,273623,-1,715900,-1,956119,-1,808597,-1,-1,950072,488796,-1,292166,-1,556652,-1,78657,815846,-1,-1,-1,-1,999513,-1,-1,-1,-1,-1,-1,-1,119922,-1,851326,716779,-1,59120,-1,995000,-1,258375,756346,-1,51935,941734,-1,549772,429190,-1,-1,657418,-1,-1,137382,471014,551528,680924,344333,-1,-1,-1,-1,-1,510813,-1,-1,62282,-1,623037,839285,-1,-1,531865,-1,198247,-1,-1,957015,-1,492616,-1,-1,-1,84749,-1,-1,-1,-1,398786,-1,-1,918817,737995,980610,644537,-1,420665,482183,-1,199862,-1,440914,347213,-1,-1,596387,575728,399016,-1,475604,499504,137663,-1,-1,-1,379701,429936,-1,-1,-1,-1,319264,510383,390840,-1,-1,-1,-1,-1,-1,-1,695979,-1,716845,-1,-1,-1,985965,807292,-1,506805,-1,-1,726256,977809,-1,134797,354078,-1,-1,336310,735211,-1,-1,355621,-1,-1,523231,279166,745938,971348,-1,627213,-1,603972,163813,375521,-1,-1,-1,465599,846064,-1,-1,119254,708738,765721,7051,-1,763797,296915,-1,-1,869984,197900,172158,412373,89569,362697,473542,754224,99704,217225,960843,835844,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,586959,-1,59662,659964,772832,467995,-1,-1,-1,-1,-1,-1,870906,998257,306710,-1,-1,366844,-1,990343,-1,-1,-1,65433,-1,-1,-1,-1,-1,-1,-1,241811,201917,714762,569095,515320,689918,-1,781379,-1,-1,204196,583814,-1,-1,-1,-1,351967,-1,-1,529504,583395,695189,937694,-1,-1,-1,-1,-1,914337,-1,-1,235025,-1,208036,-1,929715,-1,-1,467340,-1,894359,-1,-1,-1,97341,-1,912374,-1,453120,309260,-1,824444,-1,790052,421519,400556,152025,-1,167046,959226,-1,317282,134902,-1,-1,-1,44241,-1,782058,823272,228452,179331,346233,-1,954186,218400,709003,24881,-1,393920,995078,-1,636691,-1,-1,-1,167930,-1,416493,-1,-1,-1,830007,358192,-1,-1,122257,-1,-1,-1,442167,607576,693618,670448,73986,699489,-1,279485,896155,793492,32598,-1,-1,62793,-1,557074,-1,997620,616528,613451,-1,-1,324040,-1,-1,-1,-1,-1,363643,-1,-1,-1,-1,110509,384034,-1,-1,825025,-1,-1,-1,332870,-1,779470,566758,216339,-1,-1,-1,-1,364353,-1,76135,332544,776368,336675,897110,204631,-1,610721,-1,-1,95717,245626,-1,250340,-1,28341,-1,-1,-1,-1,-1,-1,-1,266502,-1,142389,907947,-1,-1,-1,451323,803368,235687,766581,973059,-1,34124,-1,669698,999477,617281,-1,559028,289746,989241,951029,-1,212516,679539,169318,843866,-1,854953,-1,-1,-1,-1,389189,-1,176646,491903,-1,-1,59466,868215,-1,-1,38805,-1,901866,721337,934525,-1,-1,-1,-1,-1,-1,733605,-1,192804,-1,297444,-1,-1,542382,615395,357274,710298,145619,186339,593704,-1,762143,-1,-1,414998,-1,-1,784757,534539,-1,860034,778010,-1,-1,808146,-1,-1,821232,-1,614854,-1,-1,-1,434308,-1,-1,743287,119758,-1,595095,-1,948794,743822,15482,-1,-1,-1,-1,-1,-1,-1,286947,-1,363334,-1,430784,723889,351928,-1,-1,51450,-1,-1,240981,-1,-1,842256,207954,70051,328770,884900,-1,-1,-1,902019,-1,765570,988690,186533,607410,306313,357719,-1,-1,-1,-1,570532,-1,18384,-1,395405,-1,293481,721396,-1,-1,732878,-1,-1,-1,-1,-1,-1,-1,776370,298174,360195,480755,668740,183326,-1,-1,459369,-1,-1,290467,-1,995746,430857,-1,-1,-1,261814,-1,356158,-1,-1,-1,877201,183252,-1,-1,-1,109481,274328,10422,583240,-1,-1,-1,745280,774625,720259,-1,595885,-1,-1,552185,-1,-1,408966,-1,707886,393615,530653,-1,732034,-1,-1,-1,-1,-1,-1,820664,-1,-1,136167,-1,-1,302810,202015,-1,-1,165375,-1,698654,941442,-1,526738,-1,652324,-1,441191,-1,710422,-1,-1,-1,461009,242071,645881,-1,989619,20907,768022,-1,-1,-1,-1,-1,-1,-1,664886,-1,-1,-1,-1,931273,812626,-1,977349,-1,950325,330857,-1,-1,951096,-1,-1,56190,284008,313151,765516,-1,436364,-1,70310,-1,-1,365758,-1,-1,226115,-1,87177,-1,-1,997486,349212,404985,-1,-1,-1,789127,158580,-1,-1,-1,-1,883337,-1,-1,-1,948042,-1,788068,-1,-1,635438,84991,271450,-1,301221,106195,200688,991924,378682,673371,156397,993853,967263,139388,244143,363492,-1,486201,723214,269128,130992,365674,655047,-1,-1,-1,259602,730897,19432,-1,-1,456919,891490,-1,-1,-1,-1,-1,-1,897517,-1,-1,-1,-1,-1,-1,-1,912270,-1,-1,611468,411395,-1,992111,-1,-1,-1,-1,-1,84831,380495,-1,-1,-1,-1,-1,335307,385248,272124,525561,709817,-1,949320,-1,709249,723245,260756,-1,297668,308860,648380,197960,-1,-1,-1,122730,367652,276366,225157,460270,48658,109815,114823,-1,-1,154848,-1,125372,629328,712814,27481,-1,358956,-1,870206,863084,-1,-1,345621,-1,-1,332979,122818,-1,-1,-1,-1,-1,457645,667338,764255,-1,748613,549601,275123,-1,754762,-1,724374,-1,-1,197934,222246,486249,444411,-1,291906,-1,-1,-1,-1,166695,-1,418146,563129,-1,-1,974548,-1,232786,822963,-1,-1,-1,739076,-1,939592,-1,875884,-1,-1,-1,985616,-1,-1,277352,733347,-1,169272,-1,-1,-1,-1,-1,355562,-1,114199,-1,-1,-1,526151,917774,74642,-1,-1,916041,296650,-1,-1,888438,62642,-1,-1,-1,-1,-1,578551,542283,-1,566729,-1,113284,646579,-1,-1,714073,-1,204136,715485,777301,803475,763066,-1,395538,-1,-1,740337,851719,-1,-1,-1,-1,121969,242950,221637,30954,-1,-1,323043,-1,-1,892983,234634,-1,-1,28414,552969,542977,831983,19356,-1,-1,-1,-1,36353,-1,-1,560667,851875,-1,-1,-1,76465,345177,326422,-1,-1,499265,748351,316048,-1,-1,348818,-1,536400,32053,713754,-1,322014,974521,-1,192825,960303,329263,193751,234685,782883,603035,-1,-1,-1,359509,-1,-1,134396,477714,285644,-1,147587,478384,633735,612390,699583,-1,-1,-1,-1,105471,-1,-1,-1,-1,198647,907952,361778,-1,-1,714257,998490,960594,394925,-1,-1,-1,757312,-1,-1,-1,-1,-1,390355,135255,-1,-1,465013,92892,-1,-1,-1,-1,640699,-1,23640,-1,222435,611114,-1,-1,280343,-1,-1,599986,726483,-1,-1,-1,-1,-1,886391,879917,-1,-1,-1,724288,-1,-1,-1,255776,-1,765133,98827,764296,-1,618478,-1,157199,192148,759364,-1,-1,303059,-1,649822,882611,-1,-1,303905,-1,-1,708127,271704,967858,-1,452667,903028,-1,-1,-1,196301,418850,919682,257376,-1,-1,-1,-1,659775,-1,-1,379710,-1,-1,-1,-1,253469,-1,732944,-1,-1,-1,659388,259456,263057,-1,-1,-1,-1,564589,234048,-1,-1,955913,744271,-1,-1,-1,132206,684843,299678,2069,-1,-1,-1,-1,282925,-1,789705,940213,-1,-1,-1,-1,548468,-1,855590,473030,-1,-1,457987,-1,566602,537983,74104,252632,-1,428641,-1,77932,-1,-1,-1,-1,915249,-1,-1,156571,-1,-1,-1,569739,288123,-1,-1,422867,970093,91662,-1,43268,139918,985663,494358,185522,-1,-1,10555,-1,474747,-1,419622,-1,-1,334113,-1,-1,-1,-1,599125,921082,-1,-1,-1,786190,736105,-1,-1,-1,-1,-1,594811,-1,-1,944696,-1,657711,-1,804533,706384,-1,927120,-1,-1,455587,-1,736744,-1,513247,994389,133294,434460,-1,753039,-1,804114,-1,167668,375550,-1,-1,-1,400873,758394,-1,-1,133848,-1,-1,502725,510115,441748,-1,560360,-1,-1,118451,-1,616274,94279,-1,977646,-1,-1,494060,541479,906870,607267,-1,47550,735557,915526,455809,207441,-1,-1,570541,363017,642904,785291,-1,900939,-1,415276,825259,-1,-1,640167,367194,117719,4560,-1,-1,910054,794492,685298,493861,-1,129626,71089,357686,892984,-1,952595,179517,-1,668676,-1,-1,-1,506440,-1,-1,-1,959098,318397,826683,158570,-1,-1,-1,-1,-1,-1,340628,-1,454913,434824,-1,559519,-1,-1,921343,17395,-1,-1,-1,727448,448758,-1,-1,-1,848835,119746,-1,-1,-1,919844,-1,141508,-1,200443,752827,-1,-1,199939,-1,-1,359944,-1,895140,-1,475901,444769,584103,758,757218,-1,460382,-1,-1,-1,-1,998831,441513,606883,694995,-1,354963,-1,-1,-1,251543,578822,118237,780064,-1,364916,926491,134324,-1,617246,-1,-1,-1,733047,931406,-1,662667,-1,962984,18908,-1,-1,-1,160419,-1,494221,211404,-1,404269,-1,514311,-1,812434,625499,517757,-1,-1,539007,52647,209111,-1,-1,-1,-1,387471,-1,552581,119751,124092,24937,262630,842824,826955,-1,-1,91504,-1,899898,770688,-1,956921,688501,-1,-1,-1,-1,873936,34343,-1,920605,-1,-1,113104,-1,65066,-1,-1,123942,69856,258347,335473,-1,-1,812754,-1,680129,428519,-1,-1,265596,-1,531761,304294,75608,-1,984879,-1,-1,443964,815619,-1,595104,-1,-1,116015,-1,-1,-1,378042,938632,528605,94159,409889,924960,156544,436718,496787,340626,-1,257793,-1,-1,897241,577997,-1,-1,310982,622460,-1,-1,161128,-1,526400,-1,716483,-1,-1,149322,-1,672582,30829,-1,681739,384618,736141,-1,-1,759992,-1,819912,122891,-1,805024,515566,-1,805317,132613,-1,878359,-1,303637,-1,-1,773640,451383,660140,43365,944770,871572,97445,448805,969392,-1,403718,-1,214010,454605,664938,173603,-1,985854,-1,-1,-1,-1,-1,95005,511537,969914,-1,585559,373350,324818,-1,-1,493499,-1,32568,905988,261668,47425,745508,-1,-1,-1,-1,26285,-1,-1,-1,-1,-1,840493,690952,-1,-1,-1,-1,-1,50836,-1,959208,-1,-1,-1,427514,-1,638095,-1,63050,104610,305998,-1,312759,351066,-1,-1,227144,-1,96937,294545,-1,585920,804957,499144,-1,-1,923596,-1,613290,-1,-1,509412,-1,-1,923227,-1,-1,92557,-1,458272,492284,-1,-1,458463,-1,-1,913472,-1,55865,844340,435301,-1,313107,-1,-1,-1,-1,225570,998700,688750,-1,-1,-1,543549,154252,853621,-1,45426,746214,400543,13390,-1,298675,-1,700294,-1,465106,652610,201698,-1,-1,-1,-1,895401,-1,855070,844739,485979,-1,-1,249582,727655,-1,-1,148351,-1,259573,968700,-1,-1,-1,336637,-1,-1,596594,-1,520791,688909,-1,761311,319874,-1,434271,-1,762353,550629,689234,379991,427809,81411,-1,-1,-1,510444,-1,30720,-1,289071,970675,338264,-1,-1,-1,211938,-1,388785,710373,813588,2381,-1,-1,-1,365112,-1,-1,-1,-1,-1,370757,-1,-1,429896,-1,247993,737500,-1,824632,681037,995067,367370,695134,881209,958577,102760,-1,-1,677989,789433,-1,-1,970176,-1,-1,-1,-1,-1,-1,28152,-1,873851,-1,-1,99507,385683,664885,48824,61806,-1,608,-1,320702,-1,542060,-1,739525,-1,997159,-1,-1,-1,-1,-1,732919,926974,805148,-1,-1,788875,-1,-1,563275,716169,-1,-1,819089,-1,-1,417574,-1,-1,-1,-1,694005,91644,-1,-1,-1,639843,-1,196145,-1,594340,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,41217,-1,-1,-1,-1,-1,-1,180764,-1,-1,326962,629066,480867,632675,60031,-1,-1,-1,-1,603562,-1,924652,766823,-1,314164,75178,704576,225051,384342,-1,617240,698514,-1,265129,-1,-1,186115,-1,771093,-1,442730,881842,-1,910493,-1,-1,768493,365348,-1,137173,-1,-1,927188,-1,20035,638281,826143,481757,-1,545616,-1,248537,952820,203534,928591,-1,973950,288312,-1,429735,-1,130245,-1,-1,872276,860184,907930,623480,441159,-1,199563,120167,434975,-1,-1,551656,-1,-1,-1,503114,-1,-1,-1,-1,-1,-1,-1,-1,47540,64973,732570,644769,-1,590538,659576,528761,479889,-1,112737,687047,682865,59037,655978,264110,-1,-1,-1,-1,274094,736841,746302,-1,234723,832986,778983,-1,9910,-1,714059,584300,627611,477977,-1,938177,998856,299963,251172,139782,224836,390551,-1,-1,-1,264970,867615,-1,-1,-1,-1,-1,367195,-1,671103,822047,-1,-1,849713,-1,563438,280873,-1,-1,760406,-1,123097,-1,-1,-1,783510,353138,850816,-1,337815,569064,-1,289432,-1,846936,-1,75199,949358,-1,-1,166046,866219,152845,822527,190038,576498,782613,791600,448451,991642,938320,784009,564796,-1,-1,-1,-1,832960,-1,443920,917072,650143,286850,902759,-1,241100,952244,-1,998569,-1,-1,-1,330769,448750,-1,-1,-1,61957,-1,-1,897538,415264,-1,-1,-1,629623,-1,492526,829581,-1,-1,-1,597179,-1,990205,793064,-1,290475,-1,798816,-1,-1,874869,841164,585979,-1,994934,-1,372309,-1,-1,-1,-1,-1,-1,-1,202906,-1,664826,-1,609607,455637,-1,-1,191003,89768,-1,-1,-1,73939,-1,-1,-1,148884,768418,179250,-1,721749,-1,183314,-1,-1,-1,-1,741658,-1,937708,-1,-1,477001,-1,-1,916894,-1,452009,969393,219197,908077,-1,593718,-1,596745,185685,990430,693033,563358,58480,999130,-1,-1,-1,977297,545245,247926,-1,631506,645014,326248,33811,-1,647538,587995,527186,860716,423106,-1,958482,35492,297729,-1,-1,379566,740640,-1,-1,478671,471546,-1,824442,-1,276227,-1,238627,500627,-1,-1,-1,754595,778950,871435,865756,560635,-1,-1,-1,-1,85034,-1,-1,14088,-1,-1,885886,-1,-1,354488,-1,229351,332679,573827,815877,909769,578087,-1,40261,-1,-1,-1,968655,-1,-1,481004,-1,928405,-1,-1,-1,-1,862133,-1,199281,318929,-1,-1,746494,88144,-1,-1,337630,-1,-1,-1,-1,714165,-1,-1,375990,217759,474018,151523,526836,-1,-1,-1,-1,-1,57030,679763,-1,-1,373515,114391,661902,-1,-1,-1,511234,452369,-1,-1,296024,-1,-1,487841,-1,-1,-1,977953,581760,-1,688238,147833,-1,-1,937814,234498,-1,134980,-1,-1,297407,-1,819856,-1,99284,-1,229564,494682,744334,409566,-1,-1,-1,345288,-1,293567,500184,-1,761622,91025,-1,525299,700102,-1,-1,491527,-1,-1,511150,196751,-1,-1,178015,-1,-1,749833,-1,946182,408629,-1,310673,-1,592181,549605,-1,976411,99994,-1,847617,-1,559811,389012,133145,-1,206035,-1,538611,254369,-1,-1,-1,-1,20611,-1,-1,906464,21497,-1,-1,472310,237401,-1,-1,111271,-1,-1,-1,-1,-1,821164,-1,-1,-1,243010,930140,-1,-1,-1,-1,375936,485147,-1,302460,398196,71499,780134,26438,242722,231360,221006,-1,-1,708457,295525,268839,557000,-1,-1,-1,47547,-1,-1,153871,-1,914864,528171,398635,517842,-1,643515,153103,-1,673638,-1,-1,834408,93991,-1,-1,186700,-1,403260,440817,865052,981935,-1,747218,171118,-1,86221,596655,-1,566404,-1,-1,-1,-1,-1,-1,903539,281393,-1,-1,-1,408810,-1,347777,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,955533,-1,549073,415256,13009,-1,-1,-1,322777,-1,554471,-1,-1,-1,-1,-1,532619,-1,508661,-1,28256,573792,917651,-1,108603,-1,-1,-1,-1,500300,-1,305766,137536,913991,-1,339172,-1,375854,-1,-1,-1,944629,-1,-1,-1,-1,776685,-1,756585,-1,-1,-1,559215,-1,994186,-1,-1,-1,289042,916788,-1,-1,-1,-1,617114,-1,370064,-1,-1,90821,811684,-1,-1,-1,-1,-1,173772,-1,637687,827070,596926,-1,926821,-1,391897,-1,778844,-1,758471,303698,-1,389398,670664,-1,-1,-1,-1,152426,-1,23070,392132,934057,547489,-1,-1,310181,337763,-1,-1,844532,-1,127611,808192,-1,283720,-1,965814,-1,-1,733535,427418,885653,-1,-1,-1,616677,296485,-1,463342,353266,-1,374379,350577,-1,-1,-1,158818,244190,-1,-1,-1,854358,-1,459582,817175,-1,197237,-1,-1,-1,-1,212192,-1,1127,563661,-1,622192,640828,829379,242308,-1,987441,-1,-1,-1,213730,-1,-1,829708,42954,-1,-1,804469,724643,787613,82974,-1,-1,-1,-1,-1,138737,983507,-1,462713,-1,986012,6767,74029,705926,-1,61330,608558,-1,-1,-1,-1,786141,921422,-1,410424,159790,934108,-1,-1,-1,289961,968683,517221,454835,-1,-1,-1,392227,802551,451097,-1,121050,-1,791128,-1,-1,196349,-1,866624,-1,328297,-1,-1,761559,249642,478586,-1,655718,-1,225754,-1,-1,587525,204776,822601,-1,669286,-1,-1,925713,639428,237964,-1,-1,244698,354124,-1,-1,228933,-1,-1,770780,119998,-1,428572,-1,118859,181322,-1,811680,561639,995241,-1,453853,-1,-1,-1,-1,-1,-1,378369,201887,80601,-1,193116,602524,559400,738051,-1,312991,-1,139462,16564,-1,-1,748417,994402,929932,573101,-1,-1,-1,-1,129441,622950,-1,919278,327071,-1,780168,901259,30640,257697,-1,-1,-1,-1,381354,-1,783589,-1,-1,213663,-1,634269,654809,-1,-1,-1,645747,-1,604251,780498,331892,740679,569688,-1,29971,-1,-1,163600,931289,589248,-1,38590,142118,-1,299304,244822,-1,-1,93829,-1,-1,-1,-1,-1,676739,25810,576770,-1,-1,-1,-1,168534,507415,299082,-1,-1,112716,-1,514559,-1,986036,-1,-1,-1,750812,961727,328413,-1,-1,-1,-1,11687,228742,-1,-1,393354,121506,568667,299099,267840,-1,112792,-1,-1,-1,-1,-1,-1,789400,-1,683000,877725,731927,-1,894255,900837,-1,-1,-1,-1,953990,962248,-1,233054,-1,972552,55576,452756,-1,-1,-1,469880,-1,562175,-1,-1,971963,693681,180334,13953,-1,97334,756035,-1,-1,-1,-1,-1,-1,-1,-1,185939,711545,-1,-1,814408,896242,-1,576717,-1,-1,-1,-1,655240,948065,112210,-1,-1,-1,-1,756170,995489,-1,597432,342931,961750,-1,-1,764071,162870,767067,200084,-1,-1,705700,661257,611846,-1,-1,220773,-1,-1,363889,63172,-1,926851,-1,973735,-1,-1,381994,930475,825226,157854,-1,-1,-1,803694,609536,121584,-1,320354,-1,-1,-1,187558,174988,-1,775935,-1,515751,939071,-1,-1,54423,-1,374450,988896,-1,-1,-1,-1,-1,-1,668630,966625,150924,386782,-1,692177,426579,996728,-1,-1,206475,286783,577060,332888,-1,-1,-1,982670,-1,-1,-1,134061,703732,23810,-1,-1,444227,-1,-1,150464,-1,456056,362123,99279,-1,503320,-1,712184,-1,-1,-1,733081,-1,-1,756486,829818,-1,174092,837910,-1,-1,-1,945020,-1,298867,677833,242780,-1,777225,-1,959588,-1,-1,-1,-1,36821,340692,230887,-1,491416,-1,559722,776780,-1,502508,303288,42646,291177,490121,82240,748918,-1,706779,24221,806905,-1,-1,535012,-1,859032,156894,31300,807239,266100,-1,-1,532749,-1,-1,423186,503399,-1,248489,-1,611320,-1,768938,-1,-1,630114,-1,-1,257700,-1,-1,-1,466373,-1,102088,-1,422536,-1,-1,351387,-1,-1,167055,236470,-1,46181,898981,462454,-1,-1,989685,-1,-1,-1,135699,6188,-1,34182,150446,-1,577129,-1,596542,997359,-1,-1,265211,-1,-1,759858,-1,-1,-1,998223,-1,-1,529406,-1,21809,-1,-1,731363,928465,560320,-1,-1,956643,970660,-1,-1,241055,-1,967794,134029,46324,-1,221781,-1,586543,758720,-1,891427,167120,-1,943488,604744,-1,-1,96732,101745,-1,-1,-1,362486,-1,-1,-1,-1,-1,-1,-1,204377,-1,-1,781194,799815,578985,-1,921600,-1,728330,832195,-1,792225,-1,-1,-1,501784,-1,-1,-1,573568,937047,813124,304066,-1,-1,757984,-1,-1,833093,-1,-1,-1,433130,58718,-1,456384,-1,889678,-1,-1,-1,-1,-1,804228,525076,138828,373949,-1,247920,-1,-1,787625,-1,-1,816267,159327,72735,653626,599121,979989,-1,650089,-1,-1,167189,-1,-1,-1,178225,504645,339275,763613,123386,-1,-1,802851,-1,-1,623924,-1,-1,-1,-1,209247,-1,-1,-1,-1,-1,861628,888298,-1,-1,397333,-1,-1,-1,96993,-1,356474,245499,-1,-1,436311,-1,-1,-1,-1,-1,883013,-1,424722,406726,-1,-1,487379,588505,-1,-1,-1,946444,-1,-1,305444,-1,236903,-1,-1,189058,573379,97190,-1,474823,102150,634851,332851,371985,-1,-1,980005,828662,234482,821640,455887,-1,663618,398569,345939,-1,668093,-1,454292,-1,-1,433524,-1,-1,-1,-1,693569,354714,-1,-1,-1,-1,-1,-1,855894,921763,-1,257008,-1,-1,-1,441744,-1,-1,-1,384871,-1,-1,394235,-1,182380,398907,-1,-1,-1,-1,18466,208372,704197,-1,-1,-1,-1,-1,-1,-1,494128,309224,-1,-1,957981,-1,-1,25830,-1,432412,-1,650279,331980,-1,872163,-1,579566,-1,-1,-1,799719,-1,446922,25311,749187,954264,974229,-1,-1,126479,-1,-1,-1,434786,-1,-1,380547,207779,489469,890531,666708,838374,290634,4469,-1,436419,-1,-1,-1,-1,685617,-1,-1,719565,735345,27987,773439,-1,242737,-1,114008,783633,-1,-1,384667,224878,-1,754333,362765,641311,-1,-1,536356,802849,698309,819999,914451,527392,-1,542185,815989,159449,-1,678456,442941,848385,-1,628389,966681,684808,523959,248754,-1,389889,925304,-1,453524,959035,93216,123502,-1,-1,-1,600136,-1,689334,-1,-1,724507,-1,599105,442546,-1,-1,346781,139084,-1,33128,-1,364793,55319,893559,273510,799159,995552,-1,-1,214738,-1,-1,-1,-1,469728,18062,-1,-1,263842,-1,-1,950347,65515,-1,-1,652996,742603,860252,71404,792035,89518,-1,498555,-1,-1,531098,390563,-1,-1,675770,-1,-1,-1,-1,735322,653045,-1,576200,335018,-1,328718,388757,-1,36516,-1,872722,-1,-1,-1,-1,-1,-1,530952,689971,-1,-1,-1,-1,925224,862008,800625,72418,-1,-1,726869,272703,545177,-1,651354,-1,-1,-1,-1,-1,-1,598831,294762,-1,-1,897289,-1,-1,-1,338655,843850,939635,914498,96057,-1,416625,254295,-1,616825,-1,731042,830228,38927,17997,-1,-1,646049,-1,849472,521344,273670,410508,-1,454083,-1,-1,624288,-1,257972,-1,-1,-1,-1,-1,-1,-1,662718,293895,355980,237391,721168,469954,-1,-1,220327,-1,222795,-1,-1,-1,44248,-1,927635,191821,461570,-1,455722,-1,437200,-1,-1,143104,774987,-1,-1,514383,645262,-1,-1,-1,-1,-1,-1,822260,914011,-1,-1,-1,680011,-1,-1,-1,450132,165125,-1,-1,-1,632846,428929,-1,-1,714659,-1,-1,-1,383600,-1,48977,144718,-1,677548,276147,-1,-1,486466,-1,160874,210220,493570,827737,-1,-1,141058,-1,126374,-1,792999,-1,-1,-1,294960,355402,-1,-1,117426,556331,-1,255123,-1,202384,-1,-1,-1,438475,322075,135960,811688,-1,-1,-1,-1,-1,-1,668946,386366,547592,948210,914474,-1,116909,963919,-1,-1,135938,367117,-1,-1,433731,-1,993771,-1,179612,238590,154547,835664,-1,604956,788754,816144,-1,809825,-1,964695,-1,445814,928203,-1,417061,-1,-1,404724,465988,-1,640901,-1,467360,545686,727793,-1,555429,-1,435682,-1,-1,292385,251283,-1,-1,-1,335130,826852,611449,535789,-1,-1,62864,210316,328447,618191,-1,458765,401401,587606,-1,597795,7615,946765,-1,-1,-1,888121,-1,943232,-1,-1,-1,-1,643213,-1,-1,790480,-1,-1,656387,-1,739913,-1,296772,52355,70763,277364,694194,-1,-1,618991,-1,965091,486846,-1,-1,-1,351834,18319,686468,-1,148195,812927,-1,-1,-1,619595,-1,-1,725918,-1,-1,-1,478282,-1,-1,84837,676553,-1,-1,995012,668707,-1,862259,-1,53003,-1,-1,783533,363936,-1,-1,965963,602296,985808,97129,-1,494103,431378,641218,960541,-1,61949,195755,-1,234170,-1,-1,-1,330055,-1,-1,192839,-1,-1,-1,-1,-1,-1,772101,929962,-1,877565,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,211288,-1,336125,305614,-1,837281,-1,-1,-1,533555,873510,-1,-1,-1,561936,259262,373435,302575,-1,-1,842404,364881,497314,-1,962283,-1,-1,611136,995177,-1,-1,-1,270331,-1,18366,266236,-1,329896,122518,-1,-1,16457,-1,-1,-1,387297,941669,864607,954006,-1,-1,389837,-1,-1,-1,891555,-1,280307,-1,649423,-1,767177,-1,-1,714158,-1,-1,806688,257633,203424,163775,-1,540794,-1,-1,-1,-1,-1,-1,-1,-1,584837,-1,666186,291204,427211,-1,-1,297529,-1,-1,677145,-1,-1,-1,516968,-1,-1,-1,347613,568349,-1,-1,69088,593294,800562,248731,719809,-1,71393,464595,-1,939301,-1,-1,741002,286392,-1,260785,154768,467948,54339,184778,426172,967154,558535,175913,-1,796313,-1,-1,898983,668465,76209,114811,-1,839401,55899,822644,-1,-1,37587,-1,-1,791598,-1,-1,-1,431374,-1,447831,237149,542332,269820,-1,-1,870375,27448,725629,682822,861053,-1,-1,514389,-1,278762,12147,799411,-1,640050,-1,240452,694264,854602,-1,-1,-1,-1,-1,515810,-1,419443,239307,890493,-1,-1,600409,808084,-1,-1,68497,-1,782146,873086,-1,-1,497941,648370,-1,467131,-1,730731,747704,-1,284507,717265,606167,955528,-1,761584,671947,743092,-1,-1,-1,430967,863341,258263,179416,726300,-1,-1,-1,520978,-1,-1,660652,41822,351542,-1,-1,215264,352540,343319,978836,-1,28238,-1,986741,-1,282164,-1,-1,192105,-1,261185,506456,672993,-1,-1,-1,-1,-1,243210,719507,-1,329144,-1,-1,-1,-1,602503,-1,287287,267273,856553,-1,247469,-1,526862,-1,-1,803147,256129,417372,-1,-1,-1,-1,-1,-1,796729,-1,185236,288538,207940,259782,-1,-1,-1,-1,510824,-1,742739,-1,773006,-1,442050,-1,-1,-1,-1,-1,-1,923046,-1,-1,-1,425915,217375,982750,-1,179707,-1,287006,957067,-1,573304,386942,656475,543930,-1,-1,487432,586665,193817,137331,526560,821170,-1,55685,-1,363902,-1,-1,-1,561387,67815,-1,98286,94117,-1,828420,981068,242007,-1,-1,229413,429805,-1,-1,-1,558710,-1,-1,356915,546022,245303,-1,408422,-1,540027,294091,136131,408642,849207,482938,154865,893670,159647,-1,-1,-1,925986,856218,-1,-1,-1,698559,-1,-1,245167,-1,795770,247372,819471,-1,87117,77297,-1,477212,-1,36209,-1,-1,464136,-1,570562,-1,-1,100010,-1,620690,407485,-1,832163,-1,-1,377065,149045,-1,791224,246986,-1,-1,-1,800823,-1,595079,-1,-1,447352,311654,232977,-1,358999,558742,709425,-1,723699,-1,455964,-1,616344,479865,-1,-1,51388,477805,-1,889029,570939,448984,406235,-1,-1,-1,-1,458686,-1,473679,701915,-1,163654,146315,430679,-1,318461,938662,411575,523754,864491,953873,-1,-1,-1,-1,-1,-1,-1,253292,260339,671862,-1,478340,-1,-1,-1,912640,535710,-1,-1,378381,485135,-1,403888,902466,-1,544338,467501,-1,150066,-1,-1,944133,875146,601833,-1,-1,-1,50324,-1,-1,-1,-1,798706,-1,158675,907341,-1,-1,467223,437127,-1,951118,566063,-1,360876,-1,-1,540729,916845,886793,640143,943804,-1,940894,547792,572516,322031,805670,209215,204157,-1,-1,-1,757458,144887,-1,-1,578547,199805,-1,-1,607940,-1,-1,998364,749211,366757,491661,414328,-1,192115,291704,46884,-1,-1,-1,-1,-1,-1,-1,203626,258457,-1,-1,403861,-1,-1,-1,275061,351749,-1,839815,654200,-1,775609,-1,-1,-1,-1,393321,-1,240699,244869,676298,-1,806078,-1,547365,-1,488825,138444,769146,823823,-1,607223,-1,-1,741302,-1,-1,177978,632031,-1,-1,841820,-1,346571,541538,-1,614535,640964,243215,408975,-1,-1,405626,672104,797851,550921,723207,797625,-1,-1,896516,-1,190280,-1,-1,-1,852756,-1,100890,57787,572521,-1,-1,301589,-1,-1,800935,-1,28913,-1,938408,-1,697068,848920,-1,-1,-1,333395,771829,400645,768982,465844,-1,-1,-1,-1,650909,782677,192097,408160,-1,-1,589174,279727,414209,-1,600788,-1,-1,-1,-1,201410,957834,-1,-1,334055,318351,-1,339078,-1,714328,363047,-1,-1,637734,-1,131639,124011,590078,-1,777562,805323,802368,-1,736837,-1,847057,-1,-1,73702,308848,-1,52108,313452,571077,-1,-1,125118,279295,-1,-1,189899,-1,-1,540508,-1,84841,970022,-1,100965,-1,-1,613184,-1,-1,-1,-1,498446,-1,410018,499198,-1,-1,-1,985071,217199,-1,-1,869688,756634,-1,410181,263112,584456,396460,416957,-1,604045,846398,504344,509833,-1,673882,-1,-1,125584,361044,236335,453878,395690,734236,-1,-1,-1,-1,-1,190499,49517,706247,141315,-1,-1,759628,-1,150015,-1,846340,482678,-1,-1,74348,254984,-1,338302,-1,-1,348476,334130,-1,850576,208874,-1,-1,751468,-1,595748,665367,-1,-1,628493,-1,455222,-1,-1,79319,-1,-1,-1,403147,317303,-1,-1,745288,551352,278002,-1,935997,379296,634800,-1,70518,565549,357850,-1,417404,-1,900155,112198,485369,225638,-1,266896,306331,423663,91721,840769,-1,-1,-1,-1,-1,806372,720408,261680,-1,-1,-1,657514,-1,931900,-1,-1,-1,793452,906700,-1,468761,264417,179927,-1,264732,782184,-1,-1,-1,628380,-1,-1,484961,-1,629928,-1,-1,-1,-1,561961,-1,-1,607052,-1,-1,-1,321027,913388,-1,-1,354091,-1,151484,809471,351287,-1,-1,960115,722783,-1,242848,554554,-1,-1,-1,-1,-1,-1,-1,124058,-1,268347,-1,682683,-1,862844,-1,425965,-1,-1,194140,-1,578516,978083,425561,-1,-1,741242,128919,-1,-1,-1,991294,-1,174088,-1,219124,-1,417250,931150,-1,-1,755402,-1,923847,-1,6202,349029,668771,940382,-1,-1,-1,829973,60625,825777,-1,468316,626881,-1,484442,-1,55523,664010,-1,386778,-1,600405,805286,866391,-1,-1,929660,162793,963955,922884,665007,-1,339856,-1,-1,590008,-1,-1,142607,464009,-1,317425,60148,-1,-1,183830,-1,786296,873877,774196,309516,-1,609113,73540,757165,-1,698625,84330,-1,-1,372844,-1,-1,-1,-1,654046,-1,801592,637268,825227,-1,437004,638511,678180,152011,-1,-1,-1,811448,-1,-1,924249,-1,-1,-1,-1,820847,-1,-1,841034,193611,-1,-1,-1,827787,315825,921936,-1,617462,-1,-1,692598,-1,-1,292214,-1,25234,-1,771380,-1,76648,-1,452486,-1,-1,-1,639166,-1,764385,-1,-1,764815,833148,-1,-1,632078,-1,-1,411986,17623,849808,-1,420751,819345,578779,-1,611123,-1,-1,-1,-1,-1,852943,-1,-1,351846,-1,-1,866759,478008,-1,-1,154236,-1,-1,-1,977319,603139,-1,237857,-1,-1,-1,-1,-1,-1,8878,-1,474800,-1,-1,-1,-1,410135,710021,732125,169012,254812,-1,-1,267704,-1,171112,-1,-1,311028,-1,-1,989857,251250,-1,-1,884359,59509,-1,-1,-1,623896,969245,-1,-1,-1,747764,651938,-1,-1,658241,28001,-1,-1,-1,-1,803587,326992,-1,446172,-1,388360,-1,858625,-1,-1,450277,703072,-1,-1,845292,461676,-1,391794,-1,-1,805043,-1,210836,-1,42169,103080,292993,-1,-1,225057,-1,-1,-1,522284,477193,-1,146323,459087,586497,-1,255516,5379,-1,-1,-1,-1,-1,-1,405288,-1,-1,-1,173689,-1,385534,-1,-1,207125,520222,-1,-1,-1,603535,563800,-1,618362,-1,-1,338590,-1,615448,183321,-1,-1,-1,798219,608412,511755,336393,-1,-1,-1,-1,387411,-1,305692,116624,55607,-1,479327,864014,693953,-1,-1,-1,152070,231428,-1,327412,806606,-1,361750,177406,845335,-1,56236,-1,19032,930688,-1,-1,-1,-1,-1,-1,328968,737314,251498,351399,676656,624868,320943,-1,612960,-1,408140,-1,344605,833021,-1,819112,-1,-1,-1,-1,25061,975412,-1,614007,498854,960540,770000,-1,-1,526886,-1,850119,294289,172690,-1,-1,504787,37869,90290,-1,-1,-1,-1,-1,-1,-1,-1,865552,-1,-1,332070,-1,-1,81083,490541,573222,225732,850616,555170,-1,-1,-1,717379,932433,897896,-1,-1,696137,-1,-1,388916,349430,-1,170742,165440,664868,931210,-1,962110,-1,-1,91867,861786,-1,-1,50413,-1,-1,-1,-1,98064,295675,-1,655675,535092,-1,-1,-1,-1,-1,-1,155099,-1,-1,265871,-1,650191,734927,359436,-1,223484,307794,477591,677499,-1,136832,-1,-1,-1,-1,-1,853719,-1,360282,832929,372284,250679,-1,-1,962938,-1,-1,-1,332611,-1,65145,-1,623325,607374,385624,-1,-1,878402,-1,509237,266513,-1,952130,700721,648073,289164,-1,-1,-1,46741,413997,692240,-1,339862,-1,872141,918647,-1,-1,646207,-1,-1,539449,839135,-1,-1,388008,-1,-1,-1,-1,266642,-1,-1,-1,-1,-1,702757,-1,-1,952079,497375,-1,708898,895772,964304,-1,-1,-1,445957,-1,539302,939127,-1,59689,-1,547622,-1,438941,-1,-1,190950,-1,15272,949293,-1,-1,-1,909190,706053,924253,294913,141671,-1,-1,-1,544215,-1,545590,221130,771354,-1,-1,971596,65614,-1,322944,-1,-1,729350,-1,-1,979982,-1,-1,-1,-1,-1,-1,695375,-1,-1,-1,278351,339563,123690,743475,494384,87766,50217,-1,-1,506719,12588,-1,-1,-1,-1,-1,-1,677523,-1,100097,4920,-1,771083,-1,450388,122712,-1,937411,-1,-1,271737,521306,-1,138405,696979,-1,-1,530740,808658,713542,833801,-1,12644,-1,252304,242243,-1,-1,675603,-1,-1,560459,-1,-1,294464,-1,-1,308824,-1,21379,-1,-1,-1,-1,445842,105202,-1,636039,807443,-1,-1,-1,35680,660409,700819,934253,-1,316099,-1,380742,-1,-1,-1,159000,-1,-1,723190,-1,872742,-1,302667,-1,462103,-1,900971,442179,-1,409871,-1,-1,513611,791582,-1,-1,764105,181215,776437,-1,-1,664521,737957,-1,-1,-1,575365,-1,-1,-1,-1,629079,-1,341015,87834,-1,457370,242849,687477,-1,-1,50978,945970,-1,380427,511561,-1,-1,522398,-1,-1,-1,178274,-1,516688,793757,-1,683636,324730,-1,191419,-1,-1,589978,447179,-1,-1,-1,-1,-1,-1,308288,806447,629982,-1,-1,935911,224729,-1,-1,404709,541909,739775,-1,131598,-1,-1,-1,-1,634844,629276,640861,-1,-1,685744,134703,256431,253902,577659,376869,875459,300015,329341,152436,81512,596832,-1,-1,-1,-1,-1,816356,529521,-1,129086,-1,-1,712972,67229,777049,-1,269186,651400,-1,871372,-1,-1,757705,51846,74651,794775,-1,-1,908712,-1,-1,-1,897726,58036,-1,556721,-1,-1,-1,728344,541123,-1,-1,-1,752910,-1,-1,-1,-1,-1,-1,30259,598833,491952,-1,-1,537246,-1,-1,-1,175145,-1,884962,554764,-1,-1,396922,279151,-1,85668,246604,510746,367935,210200,547731,-1,-1,-1,372633,-1,-1,-1,594485,828682,813990,687087,-1,424643,117694,68527,-1,-1,32866,-1,576021,691053,57044,-1,-1,-1,549645,108322,-1,22939,365250,600741,592946,936843,-1,183273,536875,777175,-1,579249,74354,271332,659059,-1,-1,-1,771942,513719,897470,-1,123404,746767,807895,-1,666588,-1,-1,625493,202624,11295,-1,-1,838525,976013,848489,770185,511627,366118,-1,249416,38306,-1,359561,8889,40985,563181,822678,475077,784964,762293,386085,-1,934323,-1,-1,-1,-1,253353,934933,-1,-1,-1,544178,-1,468045,400156,470630,288373,-1,-1,644934,-1,-1,951719,164415,705997,221743,944878,681592,-1,-1,927645,38493,-1,12994,-1,609353,157456,-1,-1,914734,852423,-1,468331,-1,971633,-1,420756,717783,-1,-1,851041,-1,-1,-1,-1,871582,-1,706703,900393,-1,377398,-1,-1,-1,986279,266820,397296,549594,-1,-1,678386,400920,772570,527496,638075,-1,815156,841847,915587,-1,888692,-1,679715,-1,-1,70642,-1,551625,-1,-1,-1,-1,560526,638557,880284,-1,996556,-1,-1,279939,-1,-1,601016,-1,596927,538192,-1,-1,-1,218491,556625,208669,684797,775936,726763,354936,-1,-1,-1,893532,332537,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,947490,-1,498575,629925,91334,681802,330208,-1,907607,-1,947127,-1,-1,-1,-1,224742,195515,810456,433081,481046,-1,-1,-1,-1,323717,666103,-1,-1,-1,-1,373597,770986,126315,302646,94523,-1,-1,-1,699855,-1,530245,231589,316706,642125,567418,528036,-1,-1,-1,145366,728610,476214,-1,-1,-1,-1,244729,3035,-1,-1,10447,787408,996680,-1,-1,-1,920987,-1,996382,-1,298159,-1,444837,-1,674409,82246,993563,285564,281548,415069,383782,556472,-1,-1,-1,-1,492019,-1,-1,111974,655632,-1,2234,983488,-1,-1,-1,-1,-1,-1,-1,894875,-1,460184,659300,434367,-1,552520,-1,-1,150509,4183,-1,652701,519693,-1,-1,-1,350623,-1,365190,843880,-1,352104,-1,-1,564693,931926,-1,-1,883918,-1,-1,-1,-1,980808,-1,-1,676323,-1,-1,791770,-1,-1,-1,927994,-1,582262,-1,-1,-1,412573,596279,691772,684752,-1,930691,-1,124347,917881,95540,556379,-1,407919,-1,-1,-1,-1,177553,561012,9189,-1,-1,-1,-1,-1,-1,389384,-1,-1,372301,694704,850601,500058,-1,-1,-1,278727,919512,-1,582076,-1,-1,-1,772950,274100,-1,911524,313888,138371,197896,-1,-1,776610,652222,608986,927559,265902,499538,-1,-1,-1,-1,942054,12798,-1,-1,942347,95374,-1,-1,976201,725012,311232,499658,389763,514360,342312,1551,-1,-1,-1,379974,-1,222398,797071,738212,987698,328438,76027,413738,378029,-1,-1,-1,606910,-1,103821,763584,867094,709720,376494,513504,-1,670427,-1,-1,161725,423987,-1,-1,490051,595169,840995,191366,840886,426602,500393,-1,-1,668380,709829,-1,689425,468086,-1,627178,-1,352879,-1,-1,-1,-1,-1,820635,-1,-1,-1,763155,-1,-1,330356,-1,787235,-1,194483,-1,-1,851292,-1,-1,265889,628187,-1,348518,-1,563939,194038,-1,803168,-1,-1,-1,-1,-1,359835,-1,397916,252966,55935,-1,-1,32683,-1,-1,577356,-1,-1,-1,289548,379945,-1,-1,-1,887787,78600,-1,546249,-1,514607,724249,158148,395325,776534,-1,373000,-1,-1,-1,27209,117235,169622,-1,427746,447501,-1,408509,745973,-1,529375,-1,-1,381424,631227,-1,76913,-1,-1,167145,-1,763787,90707,374595,429327,-1,-1,940561,-1,621504,-1,58283,-1,901682,-1,-1,96236,-1,188660,-1,-1,-1,809576,-1,-1,-1,-1,219386,-1,-1,-1,-1,343540,304424,-1,362587,-1,-1,865040,-1,784359,-1,777273,703285,970393,-1,-1,-1,-1,-1,567744,-1,773176,662702,-1,912041,-1,988715,-1,522651,-1,286765,-1,659950,601627,-1,500686,-1,-1,517121,-1,381724,-1,-1,-1,521620,522884,-1,80746,-1,-1,-1,286011,492792,-1,201397,-1,-1,-1,-1,-1,-1,359284,416408,-1,-1,-1,434909,-1,-1,-1,-1,924676,763096,-1,-1,-1,147923,727360,395716,119603,-1,2511,135903,-1,-1,-1,923159,520814,-1,-1,-1,-1,690732,-1,-1,25152,-1,633098,291755,-1,-1,-1,-1,-1,-1,-1,448702,-1,-1,329565,-1,-1,-1,675590,-1,-1,-1,738290,866124,-1,-1,-1,317085,-1,631540,241217,489155,607261,865175,-1,756580,570720,186611,-1,-1,123444,861671,502075,79859,114691,-1,-1,-1,-1,718631,818386,115549,-1,-1,-1,-1,-1,369889,507443,-1,658067,552288,307800,525986,-1,-1,424780,406571,-1,-1,382911,922215,617806,982721,109180,281608,875447,-1,-1,789867,-1,186150,170556,-1,779533,-1,-1,-1,-1,-1,722999,-1,121461,877350,738246,850499,-1,323201,-1,-1,514749,2148,-1,-1,-1,601796,283256,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,233415,-1,742077,-1,-1,-1,-1,-1,462107,331115,-1,-1,-1,-1,688193,-1,20398,944512,317809,471134,-1,-1,-1,-1,499156,329992,509618,-1,-1,536308,-1,-1,323560,201127,841788,-1,-1,-1,496933,-1,-1,899560,50925,-1,266026,689907,-1,297409,-1,-1,95151,712629,-1,633826,-1,-1,477106,-1,-1,986963,321313,-1,982044,390586,-1,-1,867628,-1,29643,-1,-1,-1,-1,-1,125036,-1,-1,615836,483384,104865,-1,873196,-1,-1,649237,458525,277838,529490,-1,290361,-1,472550,-1,-1,-1,-1,711862,771682,-1,-1,-1,-1,-1,925444,-1,104413,131220,-1,-1,-1,-1,-1,-1,896376,-1,-1,296330,280833,79969,148172,108938,543199,-1,-1,-1,332940,-1,735276,196783,-1,-1,-1,-1,-1,-1,-1,-1,964501,-1,-1,949639,317644,-1,382783,-1,244058,-1,999257,-1,-1,-1,12980,453804,-1,-1,920805,-1,-1,299425,340796,307939,-1,258720,-1,970378,-1,860325,-1,463634,794477,129387,350633,-1,-1,945113,-1,-1,-1,-1,624498,-1,780914,710813,-1,-1,639051,-1,114988,-1,-1,-1,941554,281414,-1,-1,39639,620865,-1,-1,-1,-1,336548,-1,238826,928622,860295,755125,-1,-1,457601,-1,-1,818097,-1,480279,230889,671059,152188,943806,781336,158013,-1,677634,435593,-1,12191,-1,-1,-1,-1,251817,-1,-1,-1,-1,660164,-1,-1,-1,-1,40790,-1,746298,186226,-1,112692,-1,878393,-1,709179,583706,681882,-1,-1,-1,225531,567627,-1,-1,-1,-1,888841,692578,974195,849546,92293,381084,-1,-1,284308,-1,-1,930378,-1,-1,822879,338451,604525,-1,309350,-1,813040,261785,-1,527317,336780,-1,817080,658736,-1,572924,-1,963730,-1,-1,-1,774381,-1,64369,797810,-1,168479,94898,-1,-1,288878,-1,10334,-1,924906,40619,-1,-1,-1,834971,906991,-1,81989,595979,-1,677571,250761,78322,394443,131608,484050,496217,-1,777532,-1,716205,995180,-1,-1,-1,-1,-1,339609,425161,82612,-1,994256,-1,-1,720200,-1,-1,-1,-1,967528,244039,44495,18925,-1,-1,487105,-1,784024,596537,-1,182026,75275,872701,482416,-1,67352,-1,403581,426862,224725,-1,-1,460533,-1,187681,-1,-1,-1,763858,-1,569360,655952,284752,825224,287822,793068,407853,-1,49801,795927,281951,211736,766399,896308,-1,686102,-1,448114,869756,-1,-1,-1,197793,367310,352008,-1,-1,-1,-1,370732,521698,3606,871496,-1,-1,-1,-1,740035,-1,-1,-1,73851,683111,675629,-1,419775,-1,-1,-1,328239,-1,-1,596654,-1,135308,509020,-1,-1,-1,-1,185013,-1,860734,945644,824708,-1,-1,-1,970810,936767,681256,474622,-1,-1,121709,717398,-1,63532,-1,-1,-1,-1,-1,427008,-1,-1,-1,302281,-1,478638,786947,-1,807698,681180,3192,-1,118446,413743,256365,-1,829325,-1,-1,-1,-1,7769,-1,-1,-1,824745,-1,-1,-1,835380,-1,603218,-1,-1,-1,-1,-1,743178,863380,750475,-1,-1,-1,923417,-1,-1,-1,-1,-1,879553,575390,34259,344647,-1,173668,-1,136795,-1,510436,-1,694767,104453,207262,923264,712671,-1,867489,216841,-1,-1,919993,868886,762396,-1,-1,230416,-1,358182,62,-1,388051,985100,586672,-1,-1,-1,-1,151427,763259,414464,987271,872131,194654,156706,-1,-1,919056,-1,528696,77674,791824,-1,-1,-1,-1,-1,-1,-1,235477,665499,-1,339176,8732,-1,402002,-1,763088,-1,-1,-1,-1,-1,-1,-1,-1,841501,-1,-1,-1,-1,-1,359987,637737,248452,-1,731010,910246,-1,-1,836503,555148,216002,-1,-1,167045,-1,-1,-1,-1,-1,955213,465233,-1,-1,708617,-1,448227,859484,500721,77498,-1,-1,445166,-1,18752,760034,164067,56979,56937,-1,-1,714703,388090,369036,-1,-1,732352,416720,488232,801507,-1,-1,-1,97636,38740,-1,305596,315777,-1,-1,-1,-1,-1,-1,60591,-1,-1,831956,362530,-1,470861,-1,-1,-1,-1,-1,99592,499640,-1,886353,-1,-1,-1,661884,78922,-1,-1,343361,-1,198636,-1,460902,-1,24625,695006,-1,-1,-1,879042,-1,-1,106035,-1,515125,-1,704678,219555,364451,83941,-1,-1,301040,-1,191934,191519,-1,426995,800012,515682,352571,275918,-1,754983,-1,-1,-1,80045,382453,478894,-1,-1,-1,5942,-1,719947,190502,-1,-1,-1,-1,332054,741733,344813,392256,-1,960429,-1,-1,-1,143458,565047,567995,851221,183827,909326,-1,-1,-1,407345,567322,315638,-1,-1,-1,-1,448817,-1,-1,-1,591636,128233,-1,-1,-1,452698,-1,654087,-1,-1,-1,804042,-1,85121,-1,687636,513797,276809,-1,868996,947624,671506,-1,-1,-1,-1,273674,-1,-1,-1,825659,21451,894478,862937,220837,610625,184439,-1,-1,631828,-1,-1,346200,290126,378694,276716,-1,-1,-1,764316,498212,174291,-1,89416,-1,847320,-1,-1,-1,395879,541150,-1,-1,-1,-1,843559,-1,112599,427663,-1,-1,653951,-1,502543,-1,-1,-1,766376,792946,44739,700868,-1,-1,-1,758178,-1,-1,119105,582470,-1,-1,-1,-1,-1,364129,153994,872080,-1,86309,-1,370476,734417,-1,-1,-1,710599,827081,-1,-1,361393,-1,656331,404483,-1,629639,-1,922747,-1,-1,-1,369802,-1,-1,-1,-1,-1,-1,652609,660956,412794,829894,616403,-1,-1,177529,465400,790510,-1,-1,-1,434797,342715,-1,316088,-1,-1,719625,669299,-1,-1,84223,-1,-1,985221,664084,489028,-1,257735,880046,872122,-1,-1,263021,221819,390142,144830,-1,232650,-1,23763,865235,-1,735412,56776,631514,-1,-1,275747,696038,-1,558390,640337,364615,25814,315656,-1,968220,571534,191015,-1,-1,730884,498804,840739,106432,-1,-1,12862,-1,-1,-1,-1,352573,383007,995692,-1,-1,-1,959243,-1,-1,-1,296771,-1,-1,-1,888215,918300,-1,-1,-1,-1,953678,109560,-1,-1,-1,-1,-1,932795,-1,-1,652793,-1,-1,403821,53047,-1,4415,211186,193931,170509,468080,208132,834216,-1,786647,-1,-1,2351,126891,-1,234984,-1,-1,-1,68854,-1,-1,-1,-1,-1,349097,876113,-1,-1,405845,-1,636859,113191,-1,753382,-1,-1,449980,908506,-1,-1,838623,210676,687381,203795,-1,409415,-1,-1,-1,821370,-1,717154,199715,-1,-1,121256,753745,601585,-1,-1,653063,-1,-1,980280,-1,134965,75855,-1,-1,264106,-1,224659,775731,164258,-1,-1,-1,498138,11642,690606,-1,230840,976638,560690,540279,-1,245625,155177,-1,-1,-1,-1,-1,209518,50685,-1,878238,-1,682407,905497,-1,-1,-1,177117,221133,-1,-1,445259,-1,36729,694851,-1,-1,602137,855463,111513,52626,450676,302976,-1,150010,671734,-1,-1,-1,370174,-1,952627,-1,904757,258337,250067,-1,-1,623569,195933,227040,316889,58561,-1,63484,67040,-1,-1,-1,987890,-1,3564,-1,137217,566486,-1,-1,-1,-1,-1,-1,-1,-1,105730,410455,698453,905430,991116,117921,-1,117460,170439,-1,-1,274392,532322,-1,318321,755716,55942,377994,208167,738431,140239,-1,-1,501423,-1,-1,-1,-1,-1,-1,-1,-1,132600,319998,922437,782818,-1,-1,-1,822411,-1,947287,777145,-1,949778,-1,386057,852564,-1,-1,-1,224918,214289,537976,-1,-1,362823,454313,991322,-1,-1,749865,-1,652297,733518,-1,-1,151685,997038,259179,-1,-1,178722,-1,-1,759503,-1,837740,209124,-1,-1,845532,-1,608572,748325,781581,-1,456430,-1,947829,574087,622237,-1,701822,-1,371891,668887,51638,589943,-1,202316,-1,-1,990603,-1,-1,-1,758461,131098,-1,-1,831227,367454,608071,-1,482379,36693,355374,-1,-1,-1,384139,-1,-1,110145,618978,-1,249527,-1,-1,207625,882046,-1,239057,-1,-1,-1,374931,279467,-1,-1,118382,552860,326223,202011,632951,320496,-1,-1,591105,-1,876607,-1,123567,30305,-1,81731,606332,-1,-1,-1,165559,-1,-1,-1,460990,558055,-1,408679,750060,-1,434027,-1,324800,630975,640003,374077,660627,768989,856027,-1,-1,17387,-1,597889,88311,-1,590537,-1,884323,257548,-1,-1,757359,-1,601073,-1,-1,-1,520817,65731,20191,-1,646271,-1,754017,156066,208157,-1,-1,952623,-1,500035,-1,743455,-1,-1,761820,875291,-1,-1,678540,-1,940470,367272,301445,500004,-1,765802,550561,629302,12532,-1,-1,166120,4600,-1,371908,-1,846968,325369,-1,-1,-1,-1,-1,-1,929720,-1,-1,-1,751087,-1,73008,-1,643912,-1,731437,309334,956130,523056,788857,853273,-1,-1,595055,-1,425850,-1,489499,-1,-1,758368,573481,376259,-1,-1,731259,-1,182058,-1,-1,-1,298681,611559,-1,-1,672145,967999,983357,270096,92046,-1,-1,961083,-1,-1,-1,-1,517722,-1,-1,788858,202069,-1,358427,881008,-1,177711,-1,811638,-1,-1,-1,616235,955470,7320,-1,-1,529365,-1,-1,717474,-1,77995,383980,-1,974373,970610,-1,-1,191416,812870,-1,-1,-1,-1,526262,988962,-1,332834,-1,-1,-1,-1,784271,559670,-1,-1,-1,9536,437473,-1,-1,417828,575976,-1,350758,-1,-1,-1,226887,-1,-1,376472,-1,-1,-1,69167,685129,-1,-1,303398,-1,-1,-1,198907,-1,-1,-1,-1,192669,146338,-1,165548,790143,398229,772398,-1,-1,-1,-1,-1,-1,15495,815522,-1,-1,791856,427796,401251,-1,-1,-1,-1,-1,568582,808992,838845,-1,347757,858414,611765,639756,154919,202218,-1,-1,-1,-1,153234,-1,-1,-1,-1,-1,86495,-1,-1,-1,-1,-1,-1,614581,257132,917815,-1,-1,-1,7397,-1,-1,394155,-1,-1,-1,-1,938811,-1,-1,395949,-1,-1,-1,978106,-1,-1,430464,295138,-1,-1,-1,448354,-1,-1,-1,903772,334881,795296,175515,4453,248859,777189,232203,608488,167913,253167,-1,142332,-1,-1,-1,-1,417281,173088,241111,395,951708,53576,-1,-1,-1,240245,208031,343709,-1,868819,602363,-1,700574,-1,483959,580538,-1,-1,973383,595308,-1,-1,-1,217378,831753,-1,967203,-1,242866,756989,-1,-1,477234,-1,949003,-1,-1,625786,758267,-1,-1,243615,579237,315942,-1,37452,961703,744086,983778,96376,95370,-1,428264,258136,112211,936064,525730,967078,907116,8851,209614,-1,760332,876924,-1,-1,962444,-1,-1,365512,280648,-1,789569,2301,136369,296224,633799,457318,-1,-1,-1,-1,-1,698427,-1,-1,-1,306267,742726,490400,-1,383087,-1,388038,752083,-1,250526,-1,-1,455876,-1,-1,990752,-1,573573,399513,986132,-1,-1,298746,550715,-1,-1,-1,260965,-1,-1,637202,80826,-1,-1,905354,-1,25046,-1,-1,958573,802538,-1,-1,101437,-1,243383,-1,-1,518053,354517,283340,396969,205304,549066,-1,894572,-1,-1,-1,745519,600160,-1,-1,120177,-1,-1,505624,-1,-1,95642,-1,632344,-1,-1,-1,118872,191857,-1,687207,197473,687050,370908,-1,79302,-1,790720,-1,-1,-1,725707,303421,336913,691970,-1,683572,623824,-1,698087,238221,-1,-1,362050,353048,-1,-1,-1,274090,744556,984948,-1,884953,-1,-1,76316,172725,401265,63621,420975,-1,652140,347182,-1,-1,217379,-1,711009,835293,-1,635072,-1,743118,370418,318954,452570,-1,731918,117638,449706,542573,908184,-1,242649,-1,-1,-1,-1,-1,-1,-1,888792,547967,504851,283402,-1,173805,804419,30663,-1,-1,281222,-1,-1,-1,-1,464923,958713,408570,804031,921195,-1,45169,-1,149597,186446,-1,-1,760778,-1,701892,-1,-1,-1,-1,-1,-1,156458,-1,-1,-1,755085,-1,421553,-1,-1,88306,80170,426687,600514,81200,835965,940160,57295,263667,-1,-1,-1,760162,-1,161153,-1,-1,83473,-1,178657,328490,863106,988853,202830,75585,-1,985716,860112,-1,-1,-1,-1,794773,-1,58035,-1,912300,878507,924041,-1,-1,813401,-1,602970,-1,537086,-1,-1,569107,-1,-1,-1,-1,-1,77186,862041,-1,-1,-1,-1,-1,932985,-1,334114,-1,391781,-1,-1,-1,-1,-1,514536,-1,-1,816487,228559,-1,793220,-1,-1,691183,-1,-1,34204,-1,-1,316428,-1,425010,4544,686974,301161,-1,-1,-1,767318,497545,333030,-1,-1,-1,674242,195999,-1,-1,-1,-1,961976,167674,-1,633118,-1,540365,919125,-1,-1,-1,-1,601343,27586,-1,692687,71440,566941,-1,-1,943143,471233,226992,-1,327819,446327,-1,106617,634211,-1,-1,758396,-1,216769,924782,930895,-1,-1,-1,21801,644958,-1,352639,971361,938706,-1,794992,-1,-1,87105,188541,-1,778676,-1,995716,349649,-1,48738,27316,141760,741388,102006,-1,732906,503239,-1,-1,-1,-1,710036,673291,-1,748704,788573,331339,-1,-1,-1,856203,766003,448588,-1,252724,-1,687641,-1,506127,957280,190951,314064,194378,371248,-1,-1,-1,604340,289789,627238,-1,487948,203131,930226,45939,-1,887399,-1,-1,-1,-1,398246,510197,876139,-1,-1,-1,192256,290315,-1,593773,-1,89078,-1,-1,-1,658375,812986,677647,-1,-1,-1,-1,-1,152031,-1,-1,851447,-1,-1,172137,402194,360454,-1,-1,995061,-1,-1,353944,-1,-1,992472,327352,78685,-1,-1,-1,458072,-1,-1,19245,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,828438,923524,107680,926132,859668,198790,181315,199794,-1,817213,-1,-1,-1,599026,-1,-1,806137,-1,728985,733278,-1,-1,-1,-1,773289,392620,-1,239258,-1,-1,-1,-1,866387,-1,-1,383082,731325,-1,-1,-1,446683,532061,-1,116599,-1,-1,514659,-1,-1,-1,403355,611087,-1,-1,-1,-1,-1,-1,231596,421194,181727,-1,-1,-1,-1,61045,-1,98607,-1,-1,202651,738484,800322,506823,-1,878252,274034,563032,701353,-1,-1,180817,6512,160423,313179,-1,630968,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,440636,659325,-1,205578,-1,-1,610187,361103,117991,302298,-1,103823,925262,-1,983500,-1,778693,16591,-1,-1,-1,-1,346525,648620,-1,485551,-1,-1,-1,-1,774599,384495,-1,-1,780183,19340,399807,-1,518724,-1,637080,709345,-1,43778,764721,-1,-1,-1,-1,-1,947818,234625,-1,143469,373822,-1,98627,-1,773048,715640,-1,889491,31657,768500,-1,592014,3576,-1,-1,581361,276525,291999,-1,514204,-1,-1,-1,-1,-1,863756,-1,977780,-1,83582,-1,991062,327479,474579,487632,-1,407363,-1,472326,-1,701301,275595,635865,-1,607744,-1,-1,338668,-1,-1,-1,-1,-1,-1,-1,769021,432933,-1,582926,-1,845107,-1,-1,209768,-1,887256,977759,738930,829589,-1,-1,-1,-1,608706,265758,-1,145415,-1,-1,-1,-1,343642,-1,-1,-1,411478,442647,277144,-1,-1,760674,-1,-1,-1,302815,739058,-1,-1,856651,-1,342210,-1,-1,189706,669453,630417,851972,-1,784877,-1,-1,-1,-1,-1,478423,426121,969597,-1,923801,348785,-1,-1,672834,51149,797126,777333,667733,523583,-1,-1,816863,20432,539130,159066,544460,316307,-1,555907,-1,-1,849865,-1,-1,-1,267619,-1,-1,759271,73974,-1,-1,22554,-1,-1,-1,303273,597034,123702,-1,661634,-1,179722,43174,206753,605876,188091,389241,596087,766778,-1,-1,-1,-1,463498,-1,-1,-1,642162,918760,893493,567538,-1,-1,-1,-1,-1,-1,170272,19135,-1,-1,733625,731777,176538,600805,-1,-1,882638,45664,-1,825366,349134,499817,819943,931983,-1,-1,-1,924763,-1,-1,954560,560309,348538,-1,974027,692524,-1,153915,-1,40172,-1,295139,-1,-1,-1,-1,126467,306937,949036,148166,-1,-1,564031,480942,231535,676567,-1,-1,76765,887044,-1,-1,-1,751944,288117,-1,453825,225648,-1,-1,-1,-1,891628,307965,-1,561556,-1,-1,-1,-1,-1,-1,-1,578935,715084,165474,788407,374085,-1,-1,-1,-1,-1,-1,-1,543474,-1,911880,-1,-1,799098,-1,-1,743208,675988,869518,882417,466318,123130,546859,257694,-1,-1,656268,-1,65351,-1,-1,-1,-1,677255,-1,-1,678785,637409,-1,470333,-1,164861,-1,-1,371634,193344,-1,-1,-1,-1,-1,273559,-1,56618,-1,783931,321941,724767,-1,-1,-1,534520,-1,-1,-1,40373,-1,155601,742206,424405,244287,204805,-1,-1,-1,679873,-1,-1,-1,878892,275165,-1,-1,-1,403479,114135,-1,-1,647941,485665,-1,-1,779979,836740,-1,-1,-1,546669,-1,-1,591847,-1,955415,-1,967102,-1,-1,-1,-1,-1,207826,174928,207240,-1,301753,716378,-1,-1,570893,59474,728600,665047,932424,-1,694427,180412,-1,-1,-1,-1,-1,587094,846019,-1,-1,369774,482001,4209,31814,-1,455322,716446,248103,180555,-1,990536,-1,117354,281737,-1,475009,926235,-1,26832,-1,938003,-1,-1,115547,302416,-1,95565,278006,228047,148341,973878,209225,-1,-1,-1,177018,-1,844757,-1,-1,-1,-1,-1,925370,-1,-1,-1,-1,752677,-1,-1,281758,531476,-1,-1,251129,-1,-1,833514,828282,557443,808541,-1,-1,-1,374134,295796,-1,621455,-1,12263,411093,-1,-1,294284,-1,879171,554110,-1,692027,555176,-1,-1,-1,273838,659949,385563,464827,-1,729101,680197,179783,927436,-1,-1,-1,9163,-1,-1,394762,-1,469991,-1,330337,148975,425334,-1,280628,-1,728491,554858,907044,508644,-1,323674,-1,-1,187198,731193,580128,-1,760233,-1,-1,-1,504281,-1,412741,406839,918316,616761,76646,694786,-1,520261,-1,380635,-1,48687,622492,845380,-1,815620,-1,-1,999633,-1,118835,107191,-1,51122,-1,-1,112705,-1,278975,-1,873128,-1,-1,-1,123294,-1,-1,-1,-1,-1,-1,782242,126161,877010,-1,-1,91932,259937,620079,851857,-1,919262,649029,-1,676289,-1,248878,379973,431992,419594,86945,330101,679167,120585,642793,779947,740317,961887,572483,-1,-1,-1,-1,143782,176320,-1,477564,699472,407598,-1,805710,-1,884548,-1,388062,-1,164681,-1,-1,934906,-1,-1,-1,-1,-1,-1,-1,990638,-1,-1,-1,-1,-1,324238,719603,-1,-1,245392,111933,-1,339,-1,-1,291012,395219,818719,-1,-1,-1,-1,263045,736301,-1,-1,-1,-1,319770,-1,-1,419529,-1,-1,91410,296302,-1,797898,-1,-1,475011,779181,137119,339735,8761,-1,647677,-1,-1,-1,-1,932388,30349,185547,-1,12309,580207,360952,166997,-1,109705,940807,-1,-1,-1,877603,-1,-1,-1,689743,-1,-1,-1,-1,503345,-1,-1,214670,-1,470896,-1,68688,842838,279376,527004,327800,-1,315651,998567,-1,-1,723908,-1,-1,28829,-1,-1,77286,570526,-1,-1,-1,-1,326287,572019,-1,-1,-1,706657,197712,594022,-1,567769,723409,438662,779395,822778,-1,-1,-1,731131,667538,-1,-1,145276,-1,-1,724923,738667,-1,-1,-1,-1,940047,-1,-1,744801,-1,385099,-1,-1,-1,416947,-1,-1,796677,-1,119956,975733,-1,-1,147485,-1,-1,-1,-1,861062,-1,-1,-1,-1,-1,35232,154305,150841,-1,924149,924574,35630,-1,-1,-1,-1,-1,-1,946078,-1,-1,890080,-1,-1,-1,-1,-1,-1,931191,930560,-1,-1,286371,54313,-1,582795,865656,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,493005,395389,163326,-1,-1,641505,-1,-1,-1,-1,-1,-1,75631,663723,-1,529816,-1,225321,-1,861467,-1,-1,-1,-1,-1,-1,-1,933140,222131,-1,965928,558198,339799,-1,-1,-1,-1,-1,-1,-1,212086,929852,690414,-1,-1,-1,106257,-1,-1,-1,-1,-1,507659,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,269280,-1,457980,-1,158138,569569,577995,-1,94217,-1,599563,-1,-1,85494,-1,-1,-1,429989,170871,-1,-1,73401,28852,502511,-1,843629,626882,640921,889545,-1,-1,168466,-1,196958,-1,326874,25554,-1,156795,-1,396307,-1,-1,97891,-1,649838,-1,802217,-1,-1,-1,476023,-1,234513,257197,-1,-1,687225,-1,745865,520715,939328,-1,87230,729305,689753,979133,589667,-1,-1,411989,535006,474839,624840,-1,-1,657415,-1,276336,498387,100684,-1,-1,-1,-1,835871,327223,-1,901507,29720,-1,792263,764365,455324,-1,564697,626031,957295,-1,-1,274891,113043,919322,-1,-1,-1,-1,476106,388912,-1,-1,792594,-1,-1,-1,-1,-1,945471,-1,-1,929090,492701,931681,-1,973254,-1,293262,-1,-1,-1,984785,500179,-1,914568,-1,-1,-1,-1,-1,614066,-1,-1,-1,774856,788196,766848,94648,-1,-1,-1,-1,-1,78217,-1,699841,-1,24835,-1,-1,-1,287264,-1,533607,994390,168149,-1,902510,-1,289041,55330,256922,208124,909021,-1,-1,-1,164384,240641,652162,-1,-1,-1,-1,869160,-1,451752,-1,-1,-1,-1,535883,913319,710251,676211,129747,-1,-1,119276,776941,830678,689040,196289,-1,589207,-1,882399,-1,444436,-1,894018,912087,613894,11483,887213,-1,-1,225066,702422,33644,962879,-1,-1,-1,-1,30385,-1,72769,299265,-1,-1,-1,713898,907016,96443,-1,-1,509376,-1,174356,-1,-1,-1,518507,775118,-1,754184,-1,565803,815911,918145,26518,-1,-1,452210,541207,-1,719880,499507,18231,458482,-1,746425,862071,-1,474463,-1,386865,-1,-1,-1,185894,825812,-1,58200,-1,-1,142466,-1,-1,-1,643640,-1,799544,419862,-1,-1,221334,-1,527138,864177,354282,-1,-1,-1,-1,414408,-1,636971,-1,-1,-1,198699,-1,-1,277886,119258,74493,697988,-1,967967,536082,-1,111092,42095,20940,-1,108762,-1,-1,116173,-1,908678,-1,-1,-1,-1,-1,-1,-1,-1,-1,388078,-1,891775,551232,129802,-1,-1,649913,-1,927035,299975,697338,-1,-1,701221,22374,389076,-1,-1,862256,921412,-1,-1,435157,-1,430556,336119,752449,235846,-1,-1,261365,779786,-1,649119,-1,560460,895085,-1,-1,849236,-1,887209,602978,-1,695965,-1,257567,-1,463266,106124,-1,568991,-1,-1,-1,-1,-1,83291,-1,-1,146453,-1,770089,36902,-1,717227,-1,877962,-1,61154,759835,-1,623476,-1,142417,259854,227835,62154,517268,-1,-1,-1,-1,297732,-1,-1,-1,-1,956394,-1,-1,77160,-1,370807,-1,-1,-1,-1,914858,-1,461693,-1,-1,-1,-1,129274,594609,656867,-1,-1,929920,-1,332936,350538,443597,-1,-1,-1,786139,841089,8180,229221,-1,-1,-1,-1,830831,-1,-1,908228,870212,-1,-1,-1,235439,608339,89678,326501,521156,567832,-1,771373,-1,846310,563223,-1,-1,390888,-1,-1,670595,738291,296993,-1,277161,646336,-1,246870,-1,-1,-1,-1,662310,143603,966129,-1,781272,-1,-1,484804,-1,671520,-1,-1,321925,-1,64262,-1,-1,-1,195998,-1,-1,-1,518139,-1,-1,-1,-1,-1,-1,685346,-1,-1,-1,849137,149449,-1,101678,-1,-1,-1,538411,-1,586946,181878,-1,475339,-1,-1,498414,70743,20040,-1,92608,505302,-1,-1,-1,62855,269424,233395,88112,-1,-1,-1,723060,-1,-1,960240,-1,-1,923351,-1,-1,952357,-1,693878,589690,-1,-1,-1,-1,589133,-1,-1,-1,255142,-1,-1,752144,-1,891469,-1,326797,584334,-1,717693,-1,543565,-1,-1,849765,507428,447036,-1,622117,630801,-1,413380,670137,-1,160227,-1,-1,-1,651712,65321,-1,787422,-1,444469,755989,-1,-1,-1,-1,-1,258169,-1,-1,-1,262826,873293,195904,179084,-1,-1,161031,-1,-1,-1,-1,747486,-1,581662,184443,722753,-1,-1,-1,38308,713621,286561,562014,189564,-1,-1,-1,281177,903451,-1,815263,380095,-1,230189,655096,953849,150606,942752,837296,-1,-1,819348,310841,-1,-1,952047,-1,-1,-1,-1,382718,617513,-1,390377,687579,-1,-1,334298,-1,140588,338574,-1,918329,955531,-1,-1,287581,406386,-1,-1,581074,-1,86669,-1,-1,785403,-1,-1,-1,-1,-1,865823,-1,22828,-1,-1,-1,590624,-1,-1,-1,4105,-1,281637,-1,-1,-1,-1,-1,-1,-1,-1,760867,935666,-1,660899,918702,613945,310374,18973,-1,-1,-1,187750,398929,-1,793394,-1,401589,-1,203105,355442,-1,568466,3046,266760,67444,-1,719807,570662,-1,-1,425033,-1,-1,223793,968299,-1,107654,-1,621752,375917,-1,-1,-1,-1,-1,-1,397858,-1,-1,316621,-1,562651,-1,-1,-1,568564,854184,-1,-1,-1,-1,-1,-1,-1,820940,244243,-1,-1,291490,-1,674012,434160,160965,-1,564698,450090,530492,545192,773340,683902,-1,677742,-1,558494,920545,-1,623701,28603,-1,-1,36712,907582,852470,-1,-1,-1,964932,-1,33991,-1,-1,-1,534895,-1,271598,408665,274243,-1,321669,-1,-1,423723,-1,-1,764641,251315,-1,148889,-1,96117,-1,-1,76014,-1,-1,-1,-1,-1,586180,646833,329049,-1,-1,116118,675908,987941,688315,-1,-1,472969,-1,-1,-1,-1,806041,802304,893074,702001,-1,-1,-1,-1,973743,-1,957564,695821,-1,-1,450744,292774,57066,45268,480414,-1,-1,27061,946782,-1,798836,-1,-1,733982,-1,-1,-1,510100,-1,433008,905951,515506,408722,-1,795074,110016,524977,-1,389814,-1,95415,50502,291038,697851,-1,-1,161072,557331,-1,-1,-1,-1,874124,-1,-1,891033,-1,532942,-1,394366,38988,964343,-1,-1,507216,171164,-1,-1,-1,-1,689031,113185,512885,23900,-1,244568,577767,186392,226757,678872,-1,-1,519893,575809,884259,585440,-1,711657,-1,84272,702951,229798,-1,-1,-1,318311,403390,-1,642684,599282,-1,362650,-1,565527,609799,-1,-1,-1,-1,-1,-1,110311,524792,-1,-1,652412,-1,-1,-1,397849,221609,215552,-1,150820,-1,-1,825617,-1,891011,586977,-1,845733,-1,540375,-1,675424,-1,-1,85466,-1,322930,-1,-1,771912,646011,-1,828272,-1,-1,350026,937088,965598,-1,-1,202115,364424,8250,-1,-1,835915,-1,-1,-1,596767,68339,-1,566018,-1,964933,-1,7906,-1,-1,-1,519753,351010,-1,159421,835454,-1,662252,321200,408765,555531,-1,-1,196963,2656,-1,-1,207712,269974,-1,-1,-1,684048,88356,951248,128050,24456,-1,-1,965347,686874,-1,-1,-1,361442,950333,461171,-1,-1,155991,57217,233491,424506,-1,-1,-1,-1,359810,-1,-1,546429,-1,-1,485592,442856,207571,-1,-1,-1,407374,-1,572604,525910,-1,31480,23587,-1,21026,453995,-1,263885,21210,-1,-1,-1,927930,668551,94743,-1,-1,-1,-1,-1,615930,-1,397739,678084,509217,233443,-1,-1,371753,754821,-1,-1,107441,345297,-1,526723,576210,-1,105665,21707,932170,377756,-1,-1,-1,-1,-1,785804,-1,317894,962824,885870,57296,298397,-1,-1,463225,-1,-1,178691,966862,722807,70873,644130,439838,-1,-1,475143,199309,996404,921661,-1,-1,774948,-1,909775,-1,-1,467439,972915,994181,358314,898552,726096,-1,-1,-1,-1,-1,454641,-1,80920,42521,-1,-1,-1,585819,-1,427544,-1,-1,-1,903733,-1,845470,-1,397508,227568,-1,-1,671362,207216,81460,945124,-1,482992,200286,248111,-1,710705,140311,639043,-1,871542,-1,311476,280345,-1,637005,-1,94574,-1,264208,552599,271064,-1,-1,569694,247104,12978,891121,76226,418852,-1,562545,632684,-1,-1,-1,-1,759042,80757,-1,937396,607503,165370,-1,683279,382827,491030,438277,-1,497991,-1,-1,-1,-1,749837,-1,874424,466582,191864,749525,-1,985486,406367,-1,-1,-1,-1,-1,16599,-1,978680,-1,-1,-1,621405,-1,30816,924908,-1,-1,-1,574842,-1,732194,-1,479054,70407,-1,-1,484140,-1,840003,866916,-1,174466,182370,520136,492895,-1,694750,-1,126391,-1,451280,884509,927181,663582,-1,304866,578557,-1,711063,-1,-1,-1,565465,816161,-1,-1,-1,586473,562873,-1,18413,-1,272410,-1,888235,681755,-1,152303,641167,451960,967030,-1,173745,-1,-1,55708,-1,613482,-1,451315,-1,119185,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,345191,-1,-1,-1,-1,-1,135003,862514,650109,-1,788122,-1,-1,-1,697661,-1,-1,-1,-1,-1,305005,391199,570245,-1,-1,-1,-1,-1,367301,645862,-1,-1,-1,-1,810270,927430,-1,962901,-1,107989,306445,218348,710927,39649,762517,-1,-1,627656,-1,-1,-1,531844,770944,577234,-1,905772,-1,886113,-1,962650,-1,180752,713658,382258,-1,272308,361715,295660,323851,426597,89647,749179,-1,936311,-1,-1,-1,835918,-1,-1,-1,-1,-1,954115,-1,-1,-1,620153,-1,333745,185086,273672,282153,599667,173445,912223,-1,90802,713648,-1,-1,-1,-1,301202,-1,-1,881357,-1,730888,191950,-1,768255,-1,-1,871440,328127,-1,-1,-1,-1,568472,333449,-1,-1,-1,-1,-1,-1,452422,321223,739948,504012,-1,-1,135238,-1,-1,284365,689231,-1,-1,-1,-1,634295,788656,-1,-1,-1,113482,-1,-1,125394,871028,-1,737300,-1,-1,-1,929041,-1,796372,-1,-1,934727,567248,570661,-1,-1,866686,-1,308137,-1,755222,495577,-1,-1,949139,-1,-1,749492,155258,62227,-1,-1,-1,-1,371128,-1,-1,90846,881565,-1,569075,724870,805086,-1,621554,-1,426356,570919,-1,-1,567392,421755,188313,916242,-1,34168,-1,229912,843893,24300,-1,886381,465830,-1,-1,342888,731990,112915,729656,-1,-1,-1,722563,401426,243149,-1,440834,-1,-1,-1,816803,-1,15607,693732,421269,-1,-1,794276,588854,775293,57461,387928,214346,-1,841403,-1,-1,-1,-1,696209,-1,43679,-1,765045,210350,940756,-1,-1,-1,105573,-1,421238,-1,-1,-1,-1,922362,192428,-1,-1,670490,-1,564340,-1,-1,846067,807781,-1,92240,-1,-1,932522,-1,-1,-1,519502,155688,913406,-1,599302,-1,101942,886344,-1,203548,-1,747035,-1,93561,-1,-1,25997,503276,-1,-1,-1,189487,598021,347938,-1,-1,-1,150501,834645,942292,-1,379233,-1,800974,-1,623585,-1,33216,-1,717305,134308,-1,338225,550531,-1,363696,-1,-1,-1,-1,451258,902370,858366,884210,-1,841155,986022,-1,541008,62355,32236,-1,891337,-1,-1,866172,-1,734326,-1,-1,-1,-1,-1,-1,-1,592248,239144,-1,221409,-1,-1,-1,-1,-1,279110,644356,793918,-1,-1,-1,-1,718635,60058,-1,-1,878614,-1,943320,369923,-1,-1,293510,130697,788492,711359,671824,-1,-1,-1,-1,573513,-1,572151,954361,-1,608976,847206,-1,-1,11291,642955,-1,100455,6011,758768,-1,57515,654609,304748,-1,-1,980241,424970,116487,870590,-1,537677,331332,212360,-1,339977,-1,613568,771660,737419,-1,-1,387824,-1,823041,-1,435764,431413,-1,-1,488397,-1,-1,-1,-1,201542,-1,133919,-1,989117,190573,-1,77058,-1,253600,553947,517920,-1,145140,-1,-1,778816,-1,-1,851990,-1,994447,-1,-1,238181,90440,-1,296080,-1,-1,92396,433314,-1,-1,410160,-1,-1,-1,-1,391227,927932,291866,328581,357164,-1,-1,-1,-1,359606,-1,-1,-1,278965,-1,-1,323516,112489,379068,61382,-1,-1,700706,433644,-1,-1,-1,475566,-1,247605,-1,-1,-1,-1,821153,378228,-1,-1,138601,-1,-1,38299,-1,-1,517161,30757,851367,-1,188311,614977,-1,-1,656179,68308,-1,858250,218114,391421,-1,-1,-1,337151,-1,-1,-1,-1,-1,-1,-1,816029,-1,89093,-1,72328,559426,884264,-1,-1,-1,539403,-1,-1,-1,-1,884988,764180,104979,409277,491988,940434,-1,-1,-1,-1,-1,-1,737474,580963,-1,-1,-1,19703,-1,459294,403305,-1,541497,739776,-1,-1,764085,528977,927478,476447,583614,614540,-1,-1,-1,-1,981780,211046,497906,914693,-1,-1,117956,-1,-1,-1,-1,177705,-1,-1,-1,574939,303577,-1,123570,-1,561949,937907,895509,769842,750959,-1,215276,844549,573692,-1,-1,499091,-1,-1,-1,680427,-1,-1,-1,-1,452813,-1,-1,-1,470925,192240,-1,-1,37035,351416,-1,-1,-1,-1,28617,904623,-1,-1,-1,-1,-1,-1,-1,-1,619293,258872,-1,281735,717320,699923,-1,-1,-1,-1,-1,257410,668143,-1,605709,-1,166653,-1,-1,561871,353342,931262,-1,-1,528093,-1,-1,609178,-1,638591,-1,-1,-1,-1,321317,-1,-1,773154,623782,-1,14476,730226,-1,-1,-1,778251,-1,-1,-1,-1,-1,493516,364292,426432,-1,-1,-1,836301,281597,514429,-1,63722,111823,-1,-1,493718,845420,38132,-1,-1,876426,-1,421301,534952,-1,309679,48904,-1,-1,-1,-1,-1,-1,-1,997374,-1,32225,546779,750857,914082,-1,-1,382146,345029,-1,-1,684988,136177,-1,752816,-1,963226,-1,-1,228768,-1,506770,-1,732124,752686,-1,-1,-1,-1,-1,152002,-1,101685,-1,498827,756074,905456,-1,109835,434178,-1,490914,677635,-1,-1,326423,-1,128500,-1,-1,736129,-1,23137,-1,927908,620018,-1,-1,-1,-1,398128,601536,-1,-1,-1,-1,-1,556660,-1,-1,339498,-1,-1,33716,417780,859737,553501,-1,-1,282723,-1,-1,-1,-1,-1,-1,268561,886248,249357,661743,-1,-1,-1,-1,393620,755243,-1,329879,502662,47974,752010,-1,361624,253509,740887,-1,-1,893967,-1,914911,29250,-1,200679,725181,774182,643856,-1,97569,-1,-1,-1,436395,673781,-1,-1,986227,-1,-1,797220,135627,-1,-1,-1,670241,-1,-1,403005,660519,436082,922347,-1,-1,677796,-1,-1,-1,986046,647999,664560,873502,-1,839834,-1,-1,263168,-1,270354,-1,-1,-1,43497,-1,-1,473172,-1,-1,-1,709216,67745,-1,766525,-1,-1,103963,-1,-1,142636,-1,-1,-1,57972,-1,-1,196103,363391,159695,403024,340952,-1,-1,-1,387800,-1,410309,230800,191602,-1,-1,223447,41067,295245,-1,488001,-1,-1,-1,-1,-1,-1,-1,117153,937897,-1,-1,877515,412053,209214,-1,319773,-1,762030,484560,-1,269307,390913,93910,-1,-1,413966,652719,-1,814961,-1,865941,593021,-1,543019,120066,995004,70669,-1,301640,83171,-1,-1,-1,-1,-1,-1,893054,-1,618723,720120,696744,597284,-1,162438,-1,707484,-1,248495,-1,-1,337697,94173,970203,823687,599439,-1,-1,908883,-1,-1,-1,723584,162276,685065,157380,595329,632670,33510,-1,508887,77633,187957,13902,-1,691336,-1,-1,-1,-1,880323,-1,316808,577240,146095,905812,-1,846905,560204,-1,167975,-1,696235,-1,828791,409592,-1,-1,-1,114137,-1,45885,-1,-1,326407,-1,-1,-1,-1,992779,-1,-1,-1,-1,328759,933032,361972,-1,684847,-1,-1,965159,511740,938014,926185,-1,-1,-1,929020,-1,457580,153233,-1,-1,996973,354590,533100,-1,-1,-1,-1,262506,-1,362407,-1,-1,882614,318477,366565,735650,955017,109081,526341,579593,576532,234229,805210,782906,-1,335164,355047,256344,-1,-1,-1,-1,-1,420816,-1,856295,-1,676361,626046,-1,-1,-1,-1,345499,-1,128956,-1,-1,654738,-1,-1,436357,397560,-1,630645,420480,120103,-1,-1,399970,-1,-1,919683,-1,295507,636374,957336,-1,583181,-1,-1,-1,316474,-1,-1,996510,-1,-1,722890,128145,106734,104458,-1,580195,-1,-1,-1,-1,-1,-1,538691,-1,-1,446034,-1,-1,432047,352945,-1,-1,476988,-1,332202,258809,-1,-1,57063,293002,-1,-1,-1,527621,526114,414247,754101,183400,293951,-1,-1,-1,174538,372591,305277,253978,219257,367527,-1,836512,-1,625176,-1,-1,807830,-1,464428,-1,-1,-1,904152,-1,36456,916050,-1,-1,-1,-1,-1,391466,-1,-1,-1,999294,-1,-1,-1,-1,27786,501076,-1,614168,-1,-1,230176,-1,-1,-1,-1,-1,302063,618570,659920,-1,-1,-1,-1,58813,-1,820243,332947,617171,297637,908289,-1,-1,-1,312819,491840,-1,14532,768842,-1,697865,-1,-1,-1,-1,-1,496319,929632,-1,960633,-1,-1,493710,709116,-1,-1,-1,-1,978640,-1,-1,-1,572357,322104,-1,956662,440960,-1,944396,174359,-1,-1,774893,545731,-1,293151,-1,501876,149748,-1,-1,-1,216377,863316,682042,-1,-1,437489,-1,-1,-1,346240,-1,-1,-1,-1,176468,-1,225741,-1,889143,694161,971884,178543,-1,-1,-1,634985,12164,585913,835525,-1,506484,787724,972085,750598,505424,686169,-1,60147,-1,547825,-1,188711,-1,-1,-1,247829,754518,620520,-1,221621,-1,-1,-1,198229,490117,754984,330543,-1,728725,-1,561971,-1,-1,-1,-1,280090,803697,-1,-1,950056,-1,185958,-1,930318,754550,203936,-1,117356,961798,-1,283589,-1,181436,-1,-1,433592,-1,-1,512412,796193,454666,960452,-1,-1,-1,101642,-1,-1,-1,123427,-1,386385,459233,368530,-1,179762,-1,760744,-1,829909,-1,953298,951658,242012,201834,303661,-1,-1,45256,656589,-1,-1,-1,-1,-1,-1,371976,235610,-1,53586,924557,-1,750075,410576,900877,-1,428353,-1,-1,269560,469857,-1,-1,-1,-1,578222,552522,-1,255473,-1,277054,-1,695230,646098,-1,201818,76072,-1,-1,-1,-1,-1,-1,-1,-1,630350,534160,-1,-1,620088,-1,416596,200347,-1,542294,-1,633483,340988,-1,-1,977868,-1,-1,-1,-1,-1,563879,-1,500240,-1,-1,618387,-1,996848,407612,-1,-1,367864,-1,58605,-1,574763,271956,87947,-1,158577,-1,18002,323837,424823,659916,-1,-1,-1,790654,-1,768730,-1,-1,408623,817694,532226,-1,-1,-1,17055,-1,553453,-1,-1,194164,-1,629909,-1,-1,-1,288060,482591,-1,-1,-1,-1,-1,-1,399182,698053,-1,560428,347970,754679,-1,-1,925181,657328,288885,615227,-1,-1,160062,281450,-1,862953,-1,-1,-1,669838,-1,-1,-1,280582,-1,-1,668211,734089,-1,-1,-1,461957,744836,-1,-1,-1,-1,773437,925828,348610,-1,434376,-1,-1,-1,-1,-1,-1,-1,715979,-1,149701,123782,-1,-1,735980,345814,397676,-1,-1,753133,-1,962383,715454,312813,429020,-1,-1,-1,824057,981689,-1,-1,822217,509138,485173,-1,-1,-1,430685,786031,-1,378184,-1,-1,-1,-1,252352,-1,-1,701389,593457,557980,-1,474014,-1,-1,-1,-1,-1,-1,-1,667425,-1,784733,-1,473235,99452,-1,-1,-1,519134,749039,137121,114139,-1,-1,17437,-1,165758,-1,289458,390667,-1,-1,-1,-1,663445,96142,-1,-1,837162,784118,909537,670577,922032,-1,-1,-1,-1,-1,-1,179811,155368,-1,562216,389558,-1,379939,-1,-1,-1,327793,137503,688283,-1,565135,-1,-1,388911,437909,-1,-1,-1,-1,703241,78494,-1,-1,-1,-1,-1,93101,676945,595298,767693,-1,-1,-1,-1,111952,-1,-1,-1,-1,-1,-1,-1,-1,-1,926336,-1,-1,-1,-1,-1,-1,-1,-1,207670,842297,-1,565689,478441,201357,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,363670,506083,778688,745126,579620,535473,580554,18339,190695,491284,294155,-1,-1,575704,-1,-1,582236,224178,202260,-1,-1,-1,746453,134761,-1,313294,409329,-1,-1,190031,-1,-1,-1,884823,-1,-1,-1,14954,-1,-1,465116,-1,-1,-1,95458,-1,-1,376698,275650,229508,533017,-1,26461,-1,106544,589565,504166,-1,333850,395628,983530,-1,-1,-1,-1,-1,-1,389442,-1,-1,657733,713647,-1,846481,-1,251360,490325,915659,-1,-1,786492,434632,992351,-1,-1,79237,-1,-1,154164,373483,346021,-1,-1,-1,669980,639064,-1,-1,335873,-1,109808,171735,-1,-1,44425,-1,-1,507627,635731,728659,394896,429116,-1,129457,-1,368888,928280,454460,-1,-1,923481,-1,-1,891526,920448,998641,-1,-1,100335,214389,77343,-1,445458,455208,720359,-1,262855,-1,-1,-1,-1,33560,658757,-1,-1,912036,-1,-1,475255,-1,-1,-1,722480,-1,702063,-1,-1,-1,183887,-1,-1,-1,124059,-1,-1,-1,199356,-1,44808,14085,-1,-1,221010,-1,-1,266565,685556,-1,-1,479193,-1,-1,-1,-1,284145,127071,976607,686283,-1,571986,-1,247417,-1,149489,-1,705200,624077,-1,733480,740147,-1,971656,461607,575040,649295,500255,753996,959896,387653,386679,448292,28619,539126,809228,-1,17945,-1,581782,-1,123023,-1,-1,536123,863545,-1,-1,986622,56712,-1,-1,-1,207511,-1,9768,73275,385136,337324,-1,-1,-1,391295,-1,425102,-1,-1,162379,-1,118743,-1,540362,-1,-1,752168,-1,-1,-1,-1,-1,-1,160869,25992,460329,565764,154879,-1,871790,-1,132060,671238,51502,133055,178683,-1,-1,314299,-1,-1,722896,90438,233938,137773,-1,-1,760314,515362,923093,-1,-1,683880,980344,669132,363184,-1,383074,-1,-1,888126,-1,-1,-1,-1,-1,862245,507510,-1,423430,-1,186321,-1,-1,-1,-1,535324,845794,918956,-1,-1,-1,239723,217201,-1,155651,654413,-1,998132,-1,-1,-1,578061,-1,-1,979200,-1,488538,-1,-1,-1,-1,367182,73320,-1,575634,21828,151189,299368,183389,195675,-1,967359,-1,642296,-1,-1,-1,-1,-1,279111,-1,890194,-1,515442,948509,-1,975876,393093,-1,33379,856599,-1,-1,-1,125585,-1,-1,806020,-1,926145,-1,495993,680625,-1,982903,-1,638006,373174,419071,-1,-1,-1,697791,-1,633187,-1,710644,-1,817211,148394,916120,-1,-1,600787,861329,786017,-1,-1,-1,452754,458322,248430,-1,613142,740734,591603,-1,130023,344156,-1,627717,-1,283677,463244,-1,-1,-1,156205,253541,-1,553299,-1,27568,-1,-1,-1,448591,-1,-1,938132,-1,-1,-1,-1,892720,-1,-1,-1,739256,-1,-1,-1,973105,-1,585054,-1,-1,544673,374961,962538,-1,-1,284287,250982,-1,790862,-1,246872,-1,46932,195534,127577,858281,208049,949252,-1,-1,704549,-1,-1,-1,800615,-1,-1,-1,-1,-1,-1,995541,-1,354593,-1,824518,-1,-1,695469,-1,877794,314831,-1,790055,153828,114806,558760,246877,-1,-1,-1,-1,-1,47981,-1,-1,892229,3492,-1,250159,-1,865259,511522,-1,87674,-1,-1,988074,761054,-1,327515,18461,906241,237467,-1,410413,-1,162109,266826,-1,-1,337162,272546,-1,-1,450670,-1,-1,546121,-1,-1,-1,485122,-1,-1,-1,61086,637940,220336,-1,-1,-1,-1,-1,426281,-1,55974,-1,948130,-1,-1,67276,-1,-1,20532,898315,-1,817537,193426,-1,390237,684481,724070,530592,-1,435481,515796,125934,120475,408911,59035,28554,-1,-1,-1,118601,-1,184042,-1,-1,-1,-1,311033,-1,269051,-1,-1,-1,183037,499088,273289,297536,427271,1677,121024,-1,-1,-1,348371,-1,798149,731967,915070,-1,-1,228944,-1,-1,-1,171520,-1,-1,642115,-1,24448,317182,879517,-1,-1,844441,-1,743879,-1,-1,-1,-1,-1,-1,-1,-1,-1,964042,-1,-1,-1,-1,875369,-1,581531,739847,-1,-1,-1,243154,-1,-1,-1,103421,-1,-1,-1,-1,-1,761569,800299,587320,826697,893358,-1,919134,-1,-1,467339,699048,903014,314129,994076,-1,-1,-1,-1,383485,-1,-1,-1,489925,-1,-1,526338,-1,-1,520417,-1,109630,994614,268655,-1,-1,108190,215207,-1,961918,80591,952540,-1,187217,-1,-1,-1,567687,-1,451473,804995,-1,-1,878074,-1,330934,-1,-1,-1,-1,618153,382187,84167,-1,-1,100102,-1,-1,285755,-1,-1,859808,-1,314373,-1,-1,810149,361024,992027,-1,543165,-1,261529,-1,-1,-1,-1,-1,-1,25555,667490,-1,932890,901595,955994,-1,295647,958329,-1,-1,-1,717234,-1,322749,-1,-1,847075,-1,-1,151361,-1,65795,694170,-1,710214,295764,691247,-1,-1,392077,-1,581200,890095,-1,397431,946926,-1,-1,914357,-1,655400,614979,155254,904295,-1,201332,895578,843628,677618,374724,437589,279829,-1,635058,-1,-1,-1,951439,-1,731019,384703,141825,-1,115954,713374,-1,-1,-1,264018,997592,478005,49324,890585,76903,-1,-1,350419,-1,-1,781534,-1,660846,-1,-1,-1,637147,222892,744809,960611,-1,416932,530082,-1,593852,759574,-1,-1,859034,252691,-1,276442,450706,-1,648699,-1,-1,-1,272058,183726,-1,752555,-1,-1,-1,506458,-1,-1,-1,-1,16168,-1,-1,119580,-1,-1,542635,-1,-1,146948,162482,591297,-1,511501,-1,304426,26666,438137,972397,730703,-1,-1,-1,806741,-1,815641,750466,-1,624741,847665,-1,984388,338639,486488,-1,369460,-1,967386,958204,173131,240715,650976,-1,27196,-1,-1,-1,-1,-1,-1,-1,197005,-1,-1,539271,190478,427393,742852,245,738166,318551,685020,640184,-1,972070,519822,-1,-1,850845,-1,-1,-1,-1,775880,481011,973856,-1,435383,67195,93095,-1,-1,-1,39207,-1,91690,23011,-1,36124,-1,72272,-1,355942,-1,160049,172087,-1,663492,410182,-1,-1,111909,-1,337703,-1,38825,-1,-1,48607,114592,-1,-1,-1,414239,580896,227603,-1,611112,-1,-1,-1,669646,-1,571903,-1,-1,648005,-1,478281,-1,398765,709682,706261,-1,-1,799676,-1,-1,-1,314563,709219,-1,-1,492949,-1,318064,516820,-1,689861,-1,-1,907388,-1,8643,-1,282046,926157,457985,290729,-1,-1,-1,893642,327880,324567,-1,39983,271925,-1,834065,298379,956085,283513,967302,253948,119879,447748,-1,237065,-1,990597,-1,-1,-1,242140,836884,65304,-1,921780,-1,-1,368832,474137,887998,-1,-1,-1,93464,-1,852918,-1,742704,-1,904491,225233,-1,975110,256492,842725,-1,-1,428958,832734,-1,-1,-1,-1,331323,-1,441233,957719,-1,474389,911386,-1,-1,-1,-1,325858,-1,445270,-1,961261,-1,-1,-1,132465,100269,37501,241691,801867,61249,587906,464336,-1,270447,-1,-1,81871,-1,799043,-1,-1,-1,-1,-1,46048,-1,-1,775342,703449,825130,-1,-1,-1,-1,-1,420481,-1,-1,-1,-1,-1,-1,-1,739842,-1,-1,-1,264581,-1,552545,-1,32243,359365,-1,156518,-1,-1,43001,-1,-1,-1,-1,-1,535757,491956,-1,702302,696108,186334,627299,665235,-1,-1,-1,445062,-1,506964,875332,729373,680669,-1,668415,-1,115038,788661,627834,-1,453412,-1,790670,-1,494906,-1,-1,637900,-1,-1,269211,-1,-1,64969,25004,-1,141452,-1,732460,-1,522173,243207,-1,831212,27457,-1,567727,-1,-1,325376,856108,-1,251296,-1,-1,-1,791968,996076,-1,598934,679076,742288,-1,-1,-1,81005,80351,571186,-1,-1,-1,-1,502307,829085,-1,500326,-1,-1,-1,351715,167134,86245,153465,162663,-1,61750,-1,-1,-1,-1,-1,430883,727899,-1,-1,906323,-1,-1,-1,268934,757985,-1,441852,954569,78266,355120,63786,-1,-1,-1,-1,448510,503182,-1,-1,-1,803715,-1,-1,-1,-1,735052,-1,992562,-1,575770,169895,99846,441541,-1,156607,-1,-1,-1,-1,-1,519622,-1,819459,-1,-1,-1,-1,478202,-1,348156,-1,-1,37286,77773,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,448453,-1,-1,229304,-1,-1,-1,-1,-1,-1,514182,-1,402480,-1,660297,-1,-1,-1,-1,-1,384904,-1,65535,-1,57046,-1,18536,-1,517693,-1,847562,123882,639080,199062,627376,-1,-1,181730,-1,946189,-1,-1,-1,371516,-1,544662,-1,-1,-1,-1,992413,953554,-1,249533,-1,-1,912661,382147,119813,-1,611808,428412,-1,838572,-1,792776,199259,-1,589032,195902,-1,-1,866283,-1,-1,-1,-1,398226,-1,606680,-1,-1,-1,-1,-1,484864,792830,-1,655937,-1,-1,457177,218221,-1,663499,-1,826886,-1,-1,664411,-1,282819,274386,-1,294604,-1,236299,776559,-1,822853,832325,971432,246556,887064,-1,152155,-1,322762,788748,846604,-1,-1,197321,553817,24243,-1,-1,-1,-1,666116,-1,-1,761572,-1,-1,-1,492855,-1,457320,109062,-1,-1,-1,-1,274869,-1,37404,453921,549873,516671,-1,-1,784734,927242,-1,-1,419251,-1,-1,421909,700680,-1,379642,975492,-1,-1,-1,953811,803514,-1,-1,-1,-1,901095,215976,-1,348586,388145,-1,800972,434615,-1,705150,-1,925008,-1,-1,-1,-1,-1,-1,-1,-1,34381,285151,-1,150127,621027,-1,119530,329,-1,-1,-1,645837,891396,-1,-1,-1,915829,213970,-1,929123,111871,969417,-1,-1,-1,370382,413451,-1,403626,949050,-1,297726,680942,225479,846059,-1,-1,787372,-1,-1,858390,-1,-1,73543,-1,448031,-1,333227,142142,-1,12826,-1,-1,387724,-1,630240,289228,815554,-1,-1,-1,392209,-1,-1,41165,621760,-1,-1,294934,836001,-1,-1,-1,-1,737203,-1,-1,-1,392674,-1,938550,463219,607698,465176,-1,-1,589809,-1,-1,-1,-1,958157,-1,-1,-1,-1,-1,-1,231498,-1,583230,265536,-1,-1,-1,-1,-1,-1,365097,995730,-1,-1,-1,233941,-1,352511,-1,373073,996323,-1,713303,-1,-1,-1,-1,274441,178174,568381,-1,602825,-1,-1,-1,-1,-1,164883,-1,-1,-1,642140,-1,-1,596647,-1,277317,612966,-1,635726,-1,-1,-1,675664,23130,-1,576988,-1,251810,866294,-1,-1,122556,-1,-1,255681,-1,-1,-1,774160,-1,-1,670205,848707,524414,938694,-1,-1,619976,337470,-1,62092,-1,-1,92274,-1,895701,306394,400770,-1,-1,-1,-1,235162,-1,994257,435707,479232,-1,-1,-1,256723,346281,608630,-1,-1,-1,-1,811460,-1,614443,-1,-1,54149,-1,-1,-1,491018,246234,-1,990492,-1,8008,425739,528739,-1,-1,633261,806342,831973,548107,393465,673696,-1,432898,-1,-1,550649,287217,731237,50109,854838,886187,746590,-1,717407,6116,369207,-1,-1,665707,-1,660688,189393,-1,341987,-1,124369,-1,126677,-1,980502,838710,854379,129385,-1,-1,-1,-1,373047,-1,43603,-1,-1,267631,792020,-1,393973,-1,999518,-1,894230,-1,-1,696407,-1,60787,-1,269924,-1,352453,853135,478646,-1,-1,-1,955997,391916,-1,231283,-1,-1,961884,28784,-1,856487,-1,37520,550401,705279,-1,-1,-1,605236,-1,-1,556316,-1,-1,-1,174770,-1,-1,-1,670225,-1,-1,477582,-1,862846,210796,707154,970797,-1,-1,422038,-1,481946,-1,245022,-1,-1,-1,-1,812846,303335,550580,171690,-1,-1,984236,-1,-1,-1,-1,700914,442072,367741,689565,804546,701594,-1,-1,629987,-1,302175,-1,538109,378201,-1,-1,-1,-1,586075,-1,-1,-1,-1,-1,424862,782927,-1,-1,-1,-1,878123,-1,162693,157293,-1,425504,-1,247554,77016,377059,321202,-1,-1,219866,-1,-1,536359,918465,-1,-1,83619,947062,-1,806781,-1,706523,-1,-1,485285,407880,-1,541477,175611,-1,-1,-1,-1,424147,460056,-1,-1,908630,468431,416909,457275,870064,-1,956015,-1,-1,-1,838059,881039,663451,-1,-1,-1,-1,-1,476326,310454,562160,758115,625215,689260,815429,243493,465562,-1,-1,877545,-1,502554,-1,371332,-1,361080,-1,-1,67205,173896,-1,408515,-1,-1,-1,-1,814217,129538,-1,-1,627895,-1,133327,954267,491920,-1,496753,-1,-1,18787,-1,-1,-1,36617,939906,954395,-1,512713,-1,-1,-1,-1,229142,360259,-1,660604,303853,-1,-1,970514,736194,411919,-1,939600,-1,-1,304259,967421,-1,282959,624994,-1,-1,-1,348773,636886,64357,-1,-1,-1,-1,50864,315894,198444,-1,692656,-1,566668,-1,682089,929981,604929,-1,147433,547063,-1,816486,-1,-1,723102,239917,525137,-1,794806,411156,-1,-1,171148,-1,-1,127528,356547,-1,-1,738167,-1,133949,803292,-1,740399,623208,313584,-1,-1,-1,901888,474945,599917,-1,283631,741012,-1,-1,-1,724704,-1,-1,147338,-1,181337,-1,697219,218835,-1,322727,993906,-1,493048,-1,401726,357866,828655,-1,-1,464495,977464,583688,-1,764413,930499,737053,-1,-1,-1,-1,-1,-1,739809,150055,-1,-1,207167,101979,145187,586662,190443,-1,-1,797665,-1,-1,986253,-1,357377,168867,334600,-1,484466,-1,329409,4848,-1,-1,464182,562826,649925,-1,905573,-1,899609,584153,-1,-1,26926,154000,872752,-1,184001,424394,-1,-1,-1,422941,585102,-1,47055,947904,912544,-1,-1,155791,836575,-1,-1,455566,216528,628013,-1,-1,-1,406084,-1,-1,537617,89044,-1,699492,296037,-1,-1,815179,-1,-1,573563,226155,-1,837344,286263,-1,-1,-1,765154,-1,-1,358287,657014,377425,-1,-1,-1,-1,62197,-1,935432,-1,416389,-1,323188,-1,369855,414418,-1,329555,472325,-1,-1,84726,600226,354351,452307,-1,783967,-1,756010,-1,-1,528043,701357,750248,-1,909892,764273,-1,55286,147388,211708,713776,-1,450678,-1,-1,802038,148703,782150,-1,837853,865837,174939,-1,-1,295281,864769,-1,578623,-1,445345,-1,-1,575787,952552,59046,310499,343098,-1,369401,-1,121613,-1,949150,209888,-1,-1,216022,436404,-1,-1,-1,313987,-1,694105,-1,-1,-1,-1,-1,334596,-1,-1,-1,565795,773834,-1,-1,849743,-1,-1,-1,-1,145868,146310,-1,405016,-1,-1,-1,55599,767404,598053,926877,874919,343930,654775,-1,552474,886678,757230,-1,-1,-1,-1,-1,302959,-1,944736,-1,-1,432318,421025,-1,701411,-1,649374,-1,-1,899980,-1,-1,-1,-1,-1,572023,428971,-1,-1,-1,-1,-1,910768,-1,-1,18933,-1,924540,376683,816546,-1,446022,-1,-1,983873,472422,597083,-1,214049,-1,-1,709887,363163,51596,237048,595482,186907,209347,-1,354150,233007,-1,129679,-1,-1,-1,806356,-1,-1,-1,-1,218045,-1,294116,-1,-1,108389,-1,-1,-1,310008,87284,-1,-1,-1,-1,615614,-1,170391,922714,10831,250451,-1,-1,-1,575806,-1,504607,215417,-1,490279,320909,-1,477312,-1,52721,303448,944354,-1,304555,-1,-1,-1,-1,-1,-1,-1,-1,828827,-1,-1,770093,105504,-1,-1,391092,-1,-1,-1,787310,403616,-1,257298,-1,230761,921076,-1,-1,833475,505233,781155,-1,221709,-1,-1,-1,588523,-1,-1,347381,374031,-1,-1,-1,781709,-1,-1,-1,-1,196762,-1,170794,-1,-1,39408,-1,318873,957817,-1,965258,923551,-1,-1,450887,232191,-1,918481,-1,-1,-1,1608,708236,401409,196509,-1,-1,323256,581359,-1,-1,18187,513701,-1,3128,-1,-1,117511,603385,-1,577834,-1,-1,-1,-1,-1,616194,-1,-1,408162,251352,-1,567676,-1,-1,184851,332472,307330,-1,-1,-1,-1,-1,682003,-1,772957,-1,-1,779573,929310,-1,-1,380436,-1,653497,258452,-1,258595,17050,575297,-1,406415,332576,311131,394676,63597,353722,260435,-1,376684,195686,68507,804450,16659,-1,-1,-1,-1,-1,417325,-1,-1,457764,-1,841204,182263,381001,-1,-1,979630,-1,547303,-1,-1,53567,137186,-1,382045,-1,-1,-1,972292,886240,-1,-1,51486,-1,676141,-1,-1,-1,535379,-1,756433,48367,511553,325986,-1,-1,43052,397902,-1,646099,-1,-1,810768,-1,-1,-1,256753,-1,856417,-1,804988,115896,419102,604704,-1,-1,586060,-1,-1,-1,499649,702219,-1,-1,-1,166991,-1,-1,-1,653337,-1,975108,-1,222323,290381,-1,880434,84254,242818,-1,396168,-1,832996,-1,998997,-1,932582,621853,839825,123176,49430,-1,97938,-1,309944,-1,-1,-1,-1,-1,685630,-1,-1,514633,-1,240466,443503,-1,-1,-1,618129,-1,-1,-1,-1,194659,159837,52704,-1,144419,519261,403245,-1,18514,-1,238224,-1,893012,-1,-1,-1,26445,-1,598698,668157,337195,-1,-1,817981,-1,-1,415999,-1,280735,396285,-1,539864,-1,245379,-1,480247,816562,-1,688525,-1,-1,-1,434845,8822,327656,-1,-1,534586,253999,972683,-1,-1,374260,984865,-1,-1,928000,-1,920901,494732,-1,559528,378224,-1,-1,-1,-1,429312,-1,-1,258547,-1,931911,-1,-1,-1,-1,-1,-1,901964,483920,80491,950820,-1,-1,-1,282658,892135,56810,647739,-1,-1,-1,-1,-1,659566,-1,728466,-1,485952,975902,-1,37477,-1,-1,-1,-1,-1,655886,-1,164101,-1,658013,55492,-1,-1,874994,898304,715795,94917,842422,-1,-1,696580,901651,-1,-1,-1,670462,-1,93361,15539,262029,598627,345078,879852,36451,-1,281125,-1,608968,504428,-1,762827,-1,-1,410126,-1,-1,324626,-1,-1,-1,977386,705080,162056,-1,468733,-1,852926,-1,-1,398790,-1,-1,165997,-1,750992,651583,786304,787098,972761,999352,-1,-1,-1,-1,134878,584197,-1,304515,-1,-1,403702,664802,644167,617438,608278,-1,-1,434704,-1,-1,-1,-1,-1,-1,861617,-1,833288,762006,-1,509611,986438,664648,595975,-1,967466,-1,-1,654910,589090,65068,-1,542207,-1,963407,-1,-1,-1,551949,-1,-1,977430,-1,-1,810240,-1,-1,-1,-1,856856,143623,-1,-1,462297,845936,-1,844838,-1,-1,-1,-1,-1,143045,-1,680433,-1,-1,-1,127072,915285,84505,564636,177700,487686,-1,-1,-1,794627,748175,-1,-1,810931,-1,-1,609778,-1,272914,-1,180180,-1,-1,-1,825170,324822,-1,-1,541886,-1,-1,-1,-1,-1,193258,496586,-1,725586,-1,220745,-1,691328,757653,719409,684336,-1,826047,525935,587195,20670,-1,-1,-1,-1,-1,-1,852102,680860,-1,-1,-1,-1,629427,-1,-1,-1,-1,591324,-1,518557,-1,598938,-1,-1,879579,256377,84656,982705,-1,-1,-1,420283,41286,-1,529412,-1,-1,257664,554152,867950,-1,39473,-1,-1,304984,500476,741202,714694,-1,12647,-1,-1,-1,-1,471850,279158,-1,-1,-1,298492,-1,716927,-1,-1,-1,718282,-1,806134,-1,143210,157626,-1,990897,-1,-1,-1,-1,641904,913702,821719,-1,851009,739072,975520,-1,173356,750656,-1,-1,-1,-1,-1,530958,79215,552922,-1,23205,779926,553169,-1,657287,-1,-1,-1,-1,741523,-1,-1,-1,237088,170223,965486,-1,113962,-1,52340,906090,509718,858511,992402,767133,820249,742502,-1,761626,-1,-1,-1,355099,377544,-1,-1,942254,668952,445747,596876,601195,27808,-1,-1,-1,-1,949229,-1,105783,-1,710361,-1,-1,-1,663058,-1,-1,776144,-1,524899,-1,917148,-1,-1,931104,-1,746149,291976,-1,97318,746102,829150,-1,122490,-1,-1,-1,831007,870378,254095,-1,638831,-1,425557,-1,323585,-1,-1,-1,548889,-1,-1,-1,338804,371359,-1,-1,478243,909967,680165,-1,582853,-1,45362,-1,996046,592506,648939,589910,-1,576617,-1,-1,-1,154431,-1,452897,642143,-1,-1,66873,-1,-1,362516,-1,-1,-1,-1,234504,372868,606563,-1,36341,-1,-1,687555,568173,5319,-1,-1,333439,877199,-1,118381,-1,473658,-1,236071,579090,-1,942813,857226,-1,526664,-1,-1,615691,584633,-1,-1,-1,436102,154330,441000,-1,828275,302444,600837,839963,981530,-1,-1,659091,633420,-1,182201,-1,-1,-1,374726,838286,-1,22745,951036,986951,-1,-1,971738,-1,-1,-1,-1,-1,187408,-1,-1,55312,-1,154677,-1,-1,-1,-1,696392,-1,659976,98135,-1,951573,358703,-1,-1,738480,-1,501854,113393,43449,-1,-1,677356,20474,107375,100181,686270,379306,673890,73577,-1,-1,454697,-1,-1,630329,863889,-1,-1,-1,-1,95663,658668,-1,-1,522187,-1,-1,151678,609310,-1,890131,-1,-1,-1,-1,814327,617762,-1,501011,281261,473019,5919,778613,789015,377592,-1,-1,160280,-1,-1,428280,570475,-1,239083,293231,-1,-1,-1,646875,-1,-1,-1,2342,-1,110002,-1,723124,91657,-1,538865,-1,386890,-1,-1,-1,-1,212841,692137,-1,911257,762832,-1,598037,307444,-1,-1,293085,632462,-1,698127,558145,-1,570476,938000,188591,553896,382752,-1,419828,-1,-1,766132,-1,755729,839059,-1,228234,-1,424499,-1,-1,-1,779240,737148,-1,-1,40193,72397,250413,397329,530409,80396,-1,-1,-1,769876,-1,-1,-1,957228,-1,572882,151774,-1,607443,134813,227316,-1,-1,-1,-1,-1,-1,483469,-1,-1,-1,662744,-1,367090,816321,-1,-1,-1,-1,-1,230723,-1,-1,252373,-1,9732,-1,775129,137247,919571,188090,893715,-1,277517,-1,729288,-1,379413,-1,491339,-1,730342,900662,412632,-1,-1,191948,920034,29962,70276,597848,-1,433778,-1,871112,-1,626449,-1,-1,-1,438412,-1,-1,-1,117337,846877,360887,359221,-1,636406,-1,274257,148439,907305,-1,-1,654394,-1,-1,204182,760051,-1,23253,-1,-1,-1,980571,320578,824487,699790,497467,-1,712966,63019,612692,411617,965599,303083,-1,477237,-1,670455,366990,-1,-1,181006,-1,-1,945784,523571,63546,-1,-1,388594,-1,-1,-1,188864,876947,-1,-1,-1,-1,177550,-1,251245,643543,484828,-1,744855,-1,767725,15336,486547,-1,-1,-1,-1,-1,-1,-1,-1,899700,601596,890133,346870,68437,-1,-1,-1,-1,-1,-1,-1,-1,-1,768224,238319,664634,-1,815300,658281,758260,-1,216152,-1,-1,-1,777343,-1,931478,-1,-1,-1,-1,-1,659745,86525,-1,955387,237650,-1,285307,-1,913559,755960,-1,718574,-1,805160,564594,376042,691279,-1,344874,713253,159627,162447,-1,206152,605548,-1,506257,841472,-1,506939,-1,-1,244700,644299,-1,782318,-1,200593,830683,697569,-1,-1,675155,-1,-1,876404,266861,246924,341203,352499,495303,-1,727016,-1,454901,890248,869052,-1,391383,791172,88901,201843,-1,486274,-1,-1,572879,-1,669935,-1,-1,-1,751721,681197,-1,-1,177490,-1,-1,123166,450731,-1,900027,671876,-1,-1,-1,794447,-1,-1,-1,653555,448778,353200,337966,-1,175863,-1,-1,425690,-1,-1,-1,275464,216160,-1,-1,435353,-1,230702,508759,-1,-1,316451,-1,762901,721872,-1,233314,543989,409445,281019,67101,-1,-1,545609,-1,-1,-1,677919,-1,-1,-1,594030,641523,495526,729594,233893,524625,774048,75951,-1,211626,-1,858465,-1,-1,-1,631736,-1,542923,-1,-1,141321,453881,516933,-1,-1,-1,-1,-1,958321,810152,104417,367369,234578,-1,-1,-1,986714,163992,-1,-1,821280,-1,406585,-1,-1,-1,-1,192365,365888,-1,424409,848540,267943,-1,-1,685299,-1,245748,-1,-1,-1,148748,-1,298352,-1,-1,841504,-1,987836,911017,386430,433792,534394,256167,-1,263239,-1,698048,260163,473153,-1,247683,775733,-1,-1,-1,-1,838663,-1,-1,963812,23627,554526,127846,919767,429506,-1,-1,872683,286791,-1,465327,698713,-1,-1,848414,175188,-1,-1,-1,-1,504136,30672,-1,870732,-1,-1,-1,372470,970395,-1,-1,562542,-1,-1,-1,5798,-1,272923,797352,-1,683579,125592,-1,682895,965,401657,-1,-1,90701,-1,551350,815394,-1,984527,622663,-1,-1,128367,-1,99151,391502,308296,30499,709094,-1,980092,359009,753830,513657,-1,473073,737799,-1,-1,-1,-1,-1,-1,442101,600920,501055,-1,-1,-1,-1,-1,-1,340680,-1,-1,-1,194002,988797,406436,321350,-1,-1,-1,-1,-1,821662,-1,-1,-1,581413,-1,299263,-1,-1,386435,-1,-1,41097,-1,218436,-1,-1,-1,-1,-1,168926,-1,995999,755665,152579,755159,650767,-1,911152,563315,397795,-1,952793,-1,488774,-1,-1,215308,-1,-1,374050,-1,-1,365168,421903,-1,139004,-1,720388,252109,-1,75723,-1,906955,-1,485596,918197,826855,-1,-1,684721,615980,289711,-1,839662,18018,214811,-1,-1,457495,-1,846878,756617,409070,-1,199457,-1,-1,754860,-1,-1,-1,-1,883536,329080,-1,529139,-1,-1,617561,-1,555360,924063,953524,-1,859069,378600,31404,332212,-1,231364,892344,216613,67596,575693,-1,-1,559090,16833,77962,-1,225045,-1,498734,877124,714518,496983,302677,850716,-1,-1,-1,291819,-1,-1,-1,-1,-1,111368,367690,190349,-1,583336,365173,63051,-1,-1,-1,218895,506998,811632,-1,-1,-1,-1,318217,894716,-1,910862,-1,426378,-1,95221,-1,422336,637199,829602,-1,406831,181624,-1,244978,898846,-1,-1,477417,-1,-1,-1,266424,-1,-1,-1,-1,-1,935707,-1,391528,-1,799897,49410,572250,-1,-1,168320,869581,521450,845960,-1,-1,-1,-1,69932,280393,-1,-1,-1,376534,-1,654939,902612,-1,-1,605380,-1,926080,633639,-1,302396,-1,-1,-1,748385,-1,235251,988664,39030,-1,-1,604837,-1,-1,-1,-1,-1,778303,-1,16883,-1,-1,-1,667690,-1,614999,38051,-1,-1,238514,957095,-1,184429,544847,-1,-1,149520,966745,637370,987944,-1,-1,604811,504891,851982,295818,-1,-1,630688,856681,-1,356537,731457,856501,-1,794424,-1,-1,-1,-1,-1,206734,415260,-1,-1,-1,-1,-1,-1,-1,63883,-1,-1,-1,-1,994301,-1,190675,230439,-1,-1,-1,-1,352486,959477,686067,-1,959957,898994,-1,784685,-1,843448,813571,839778,397318,-1,152965,989924,431548,-1,-1,635404,-1,-1,-1,-1,-1,740872,995689,-1,-1,42654,454211,-1,-1,-1,-1,-1,79789,456772,-1,-1,535975,939251,837575,-1,745801,576169,891796,314370,-1,-1,268854,-1,-1,-1,289867,570450,306476,-1,-1,198637,579722,37162,-1,112251,39853,-1,-1,-1,-1,-1,599954,166087,562118,840931,734625,817635,-1,-1,195821,-1,-1,859744,-1,-1,-1,403562,115426,-1,-1,763408,991840,-1,661167,648927,-1,-1,-1,-1,-1,730341,-1,-1,95841,-1,930614,830105,-1,661414,-1,-1,-1,-1,-1,934537,915064,-1,-1,-1,-1,-1,-1,-1,416403,-1,773046,144530,166358,-1,-1,-1,110342,186042,-1,698577,-1,337373,-1,-1,596711,-1,719145,-1,-1,77826,-1,-1,905698,-1,892371,176248,-1,150334,47883,424029,695039,-1,2889,414932,-1,456076,121323,-1,561960,-1,477083,436359,-1,-1,412867,-1,-1,247866,-1,-1,80799,-1,692733,-1,694932,679315,-1,-1,459501,-1,-1,927499,-1,-1,802575,53538,663164,-1,710590,251684,618536,-1,31072,844097,818426,448876,-1,-1,483943,423511,728184,-1,-1,-1,327292,-1,-1,466082,631159,190845,-1,534766,151351,-1,-1,-1,-1,-1,-1,-1,605720,129908,-1,-1,869448,-1,668310,-1,142578,-1,-1,39116,435018,-1,804751,-1,-1,-1,-1,790558,-1,-1,43354,-1,-1,-1,351431,245620,-1,240211,569847,125090,41343,874219,-1,391903,-1,-1,-1,392284,245683,-1,311423,-1,-1,858142,762516,-1,-1,-1,805459,397201,888989,-1,315088,-1,-1,-1,277621,-1,67529,252281,-1,715794,709355,189975,-1,671352,-1,333314,944419,-1,726810,-1,-1,-1,-1,-1,920714,-1,-1,619023,437424,-1,449573,-1,992568,957387,385754,681646,764558,837101,885508,833771,56255,402492,-1,-1,15695,905037,-1,-1,87424,144047,380948,432311,-1,-1,471180,904513,-1,16972,-1,266522,632275,-1,701599,-1,-1,-1,473940,-1,-1,-1,265680,-1,-1,-1,218083,-1,-1,805520,752728,726178,-1,706644,132518,-1,524357,511837,421729,-1,-1,-1,73190,-1,-1,-1,793127,-1,-1,429197,44195,665857,74136,327326,-1,167232,398776,842409,-1,-1,-1,-1,-1,505476,127425,-1,-1,-1,-1,-1,810453,-1,-1,-1,-1,-1,328284,328512,679322,79358,262649,-1,-1,626068,-1,906553,582027,750479,-1,-1,-1,-1,-1,886983,-1,302986,453265,-1,225938,-1,-1,919475,178641,-1,-1,724520,-1,-1,-1,794556,182104,-1,-1,834678,-1,561841,-1,22945,-1,341195,-1,-1,-1,615626,-1,397612,172976,648045,-1,486205,306060,996213,-1,976263,-1,682024,-1,-1,474714,-1,-1,389602,220849,-1,-1,105614,-1,398267,745666,-1,-1,842130,-1,200181,-1,-1,-1,46221,-1,309893,462736,-1,-1,-1,-1,-1,642013,-1,-1,231779,176148,99587,-1,-1,326504,-1,225499,197085,893970,-1,545430,733966,-1,664005,779896,-1,473329,-1,-1,201389,835619,284319,940524,302290,687194,463868,-1,576120,196059,273143,-1,173605,948614,-1,600360,807838,-1,-1,693526,647646,898993,-1,-1,-1,841352,-1,471387,624688,194699,714577,-1,326699,293406,393515,-1,-1,668397,430091,-1,-1,382764,-1,538945,397798,-1,-1,-1,349499,645701,964427,-1,707937,-1,-1,-1,716063,648249,-1,272461,-1,749106,492238,-1,508509,-1,10254,655671,-1,-1,-1,901665,-1,-1,899971,-1,983360,900989,-1,-1,-1,783465,524295,97893,-1,580743,448212,160162,-1,630400,10796,679343,-1,867473,-1,307911,-1,-1,-1,-1,818201,697588,-1,921864,-1,648891,-1,431574,-1,-1,-1,-1,769184,223778,-1,-1,256909,424302,23745,-1,-1,162641,207789,668366,24498,411920,72220,-1,-1,-1,-1,285794,-1,745274,154725,-1,305027,64711,533430,376564,-1,-1,507861,-1,-1,-1,-1,-1,297272,-1,854503,-1,343102,-1,-1,34795,696734,136716,993730,-1,-1,-1,214314,696334,454880,955230,111356,442632,341366,-1,646637,271555,562844,-1,511083,911864,62260,168650,-1,897871,-1,-1,-1,-1,740974,-1,-1,-1,476259,332814,149728,-1,26753,-1,676109,-1,-1,778610,-1,737685,-1,-1,237186,686332,773113,103934,746785,-1,-1,-1,-1,-1,-1,531785,-1,995738,868808,-1,354280,584653,-1,-1,863549,-1,895619,883783,-1,-1,677840,459049,935671,273869,558392,894604,190566,-1,-1,-1,645724,-1,-1,275067,-1,-1,-1,-1,767126,-1,220921,-1,439274,-1,573711,402867,116148,-1,-1,-1,-1,-1,-1,392973,-1,368435,-1,866866,826221,-1,775548,-1,805739,-1,655246,791904,-1,422344,427028,-1,815102,344976,303503,-1,-1,-1,268596,-1,-1,806563,337953,953385,577687,-1,28465,-1,-1,228425,-1,61081,-1,-1,-1,263995,-1,-1,392175,-1,861193,-1,-1,-1,629583,783262,622748,183256,313332,-1,-1,41578,168445,639372,-1,71314,-1,173415,-1,74242,225476,566855,631780,-1,-1,-1,-1,9408,816870,-1,317886,828879,-1,291677,-1,2906,679505,826678,-1,-1,157284,147608,948667,432556,521320,-1,976095,467637,-1,184120,-1,-1,-1,-1,-1,-1,901936,530917,289513,810687,-1,661737,63237,608826,285018,163089,63175,269085,-1,310786,714909,-1,386967,296995,-1,-1,-1,135981,-1,265329,142935,260482,125553,725758,585712,-1,-1,434078,204176,723540,168996,877268,114128,-1,576726,728799,-1,710773,31125,807713,-1,-1,-1,154564,136970,326355,588767,584055,81764,301519,-1,-1,-1,-1,-1,905730,-1,-1,476372,-1,621377,-1,-1,649706,-1,-1,63983,432810,-1,-1,-1,-1,-1,-1,-1,-1,973552,437086,914536,366567,-1,-1,-1,63867,-1,495250,280690,-1,-1,105181,587051,-1,587557,997020,-1,606327,-1,36548,-1,-1,75534,960222,673546,-1,-1,581357,234351,-1,644092,600052,332467,-1,106105,871127,-1,-1,913769,220929,87288,512911,465522,66599,908385,-1,819424,902827,-1,-1,353362,-1,-1,902961,363933,-1,-1,-1,-1,38124,97040,-1,-1,210116,-1,-1,-1,564713,-1,-1,184956,-1,51371,-1,-1,-1,-1,-1,401759,649375,-1,543905,195735,269207,423026,951600,-1,-1,983936,916777,-1,-1,-1,-1,-1,-1,-1,737082,542644,848166,298073,-1,508569,901159,-1,-1,-1,-1,651205,-1,-1,-1,-1,511107,497581,825848,771507,-1,-1,-1,663064,-1,762045,-1,299893,7600,180442,-1,851950,586022,-1,-1,907059,-1,-1,-1,-1,661876,602142,-1,568049,411595,693473,-1,-1,584506,690846,527257,-1,-1,-1,-1,-1,728140,-1,95780,-1,-1,237192,281188,778938,785047,579676,632713,666069,847212,-1,-1,-1,708679,-1,-1,345758,-1,810436,811242,-1,-1,-1,-1,-1,814922,281626,-1,204625,870122,670047,-1,-1,967600,16109,160256,-1,20878,-1,-1,291694,-1,-1,529487,370030,156705,-1,-1,-1,-1,-1,-1,-1,-1,-1,472162,896638,-1,377590,35467,130019,380368,516191,223045,452090,-1,-1,-1,-1,446065,474000,285285,-1,-1,-1,988617,579660,602891,-1,355769,173607,165165,-1,639150,-1,412809,881806,6013,623646,-1,711770,574852,-1,875863,65362,71111,924640,542669,675422,765259,68655,965867,781858,-1,632740,635995,-1,566916,952842,-1,-1,-1,643173,-1,-1,888860,136612,787741,74217,811906,604766,953912,956918,-1,241502,840775,-1,114158,-1,-1,567125,246903,599075,-1,945534,754202,417087,-1,-1,-1,-1,-1,-1,360561,-1,-1,-1,-1,-1,-1,-1,75377,-1,394039,-1,-1,185269,997253,-1,-1,-1,-1,398619,829835,243656,370276,706191,-1,771347,497361,-1,944883,-1,-1,-1,134159,-1,285408,-1,924294,-1,99114,-1,-1,-1,681366,522624,720641,535879,412337,645502,-1,-1,-1,-1,970149,840526,-1,405557,-1,572147,-1,410483,599435,-1,149039,-1,506111,699551,898897,371206,173747,641741,233302,-1,847522,269649,175262,491168,-1,-1,789110,-1,588294,764066,-1,772902,857385,766873,14009,-1,207796,-1,724493,491688,-1,762638,874526,-1,806930,-1,969708,881073,-1,-1,-1,335839,77326,-1,-1,-1,-1,564336,-1,-1,692034,-1,-1,7200,153508,902755,667055,384698,-1,620474,112541,670797,-1,-1,124145,-1,-1,305797,-1,-1,601776,750307,359315,879959,-1,726269,-1,601425,47396,744446,-1,407939,-1,376323,-1,83945,472710,-1,740572,298163,784419,567273,-1,-1,-1,-1,690133,227507,15324,346444,-1,81933,-1,102723,184339,575186,-1,233042,-1,-1,322565,74498,-1,200987,689602,-1,-1,-1,-1,414275,-1,97689,-1,-1,834914,714906,-1,-1,-1,-1,670860,-1,53167,35635,-1,-1,533159,-1,533071,943369,550446,-1,741332,914777,-1,711966,-1,758968,188147,597167,-1,-1,778575,-1,-1,-1,567936,111921,181824,-1,846543,72063,327678,-1,906379,-1,33483,126785,502660,-1,-1,-1,-1,-1,946783,844837,718983,-1,25809,-1,276010,555384,-1,866742,-1,200195,277487,-1,801,-1,98330,879345,813326,786496,-1,767650,551301,-1,744852,-1,-1,877345,846504,-1,828658,77750,846397,819201,342676,5436,973720,-1,-1,-1,700897,150901,-1,-1,182783,-1,-1,950079,-1,-1,-1,-1,108877,-1,-1,-1,-1,2971,869535,151329,851296,514745,763862,-1,-1,-1,-1,-1,-1,958161,770193,-1,191789,-1,435500,326734,-1,320558,938218,158708,540474,460073,-1,-1,579216,-1,-1,-1,-1,-1,321290,-1,21697,-1,-1,991382,-1,-1,211724,-1,901058,566535,683168,104529,-1,-1,723800,709666,-1,-1,333427,222689,-1,555200,-1,-1,757129,-1,678232,402582,687153,518300,688946,675131,-1,893004,-1,-1,572687,-1,900221,-1,750914,538302,532647,-1,-1,310931,-1,349781,677716,320230,-1,-1,-1,495218,-1,731636,262280,-1,209201,160035,977090,1051,-1,43632,661186,548611,-1,607717,684342,37872,758173,-1,190875,798060,238877,960270,754847,789797,443422,-1,-1,-1,-1,-1,369134,-1,-1,944194,-1,-1,893887,-1,486491,-1,984016,796322,812009,496726,333400,-1,-1,810705,375456,256872,-1,-1,-1,-1,766041,-1,-1,-1,-1,-1,256696,425529,183788,-1,-1,620634,885871,-1,322356,52928,-1,-1,358478,886853,-1,-1,-1,620810,470859,328496,-1,442717,836616,258132,986250,690053,-1,-1,291632,-1,-1,-1,330752,943473,-1,-1,-1,737278,-1,926036,85248,760661,-1,-1,-1,488101,671029,171622,196797,779914,260191,130930,102507,847497,847723,529480,-1,249526,852180,-1,482857,999848,414519,-1,614114,-1,767517,-1,478673,643115,882724,-1,454350,936998,-1,-1,801491,-1,-1,699029,706181,456727,416615,83042,320588,-1,-1,-1,-1,706331,-1,-1,-1,657969,583313,361283,156990,-1,418571,-1,902012,35064,-1,-1,-1,826703,-1,-1,515495,-1,-1,-1,-1,264075,367574,737255,-1,107507,479849,145989,202681,116577,-1,-1,631808,-1,-1,362954,987751,-1,512937,15244,802392,-1,-1,-1,394510,46393,938435,-1,275192,317386,-1,652833,-1,-1,-1,727276,-1,773572,942699,-1,954959,196338,-1,375451,177605,747086,-1,576867,117670,-1,-1,239223,255832,240510,506017,-1,-1,829259,720136,824553,578281,919082,138815,-1,693796,439237,96522,528948,-1,-1,989916,44059,671786,75799,699061,861823,-1,-1,-1,-1,-1,-1,-1,-1,-1,176857,486777,976279,846646,-1,87709,-1,542262,119322,-1,-1,408283,435758,-1,-1,816219,742051,-1,14794,-1,-1,-1,309625,119257,158285,415522,908004,-1,-1,-1,-1,-1,-1,-1,103418,973040,-1,499447,-1,440066,-1,352987,-1,457533,-1,-1,-1,-1,-1,849660,345319,-1,-1,441509,427625,833419,-1,-1,-1,607551,-1,-1,-1,461546,-1,853773,795191,-1,-1,-1,69361,-1,577880,235187,-1,-1,-1,550341,-1,4027,-1,840894,-1,-1,542329,464355,715737,222971,618573,-1,342914,-1,-1,-1,68547,634362,41238,-1,521546,21552,-1,339287,-1,-1,881154,443123,-1,-1,-1,139628,-1,758099,-1,-1,832249,558531,-1,119000,-1,354036,108768,716638,729484,-1,30616,-1,-1,-1,-1,206456,-1,199060,-1,314154,904807,36607,58215,-1,869649,458363,-1,514282,-1,-1,915896,772767,563714,755214,686414,398664,772587,688808,480962,649500,-1,336586,-1,-1,651255,487936,234898,-1,430062,-1,229432,-1,662696,641909,-1,-1,-1,-1,-1,667907,805230,-1,-1,-1,-1,555703,-1,-1,941525,-1,-1,-1,137558,-1,147321,-1,-1,-1,528017,405031,-1,984540,56589,78815,-1,943314,520406,-1,935714,-1,739080,-1,-1,-1,242346,744727,390381,-1,-1,58466,315685,160451,-1,717712,-1,365004,-1,110098,784750,694797,283555,962522,517812,555007,-1,207561,349745,-1,-1,396761,930399,990276,-1,-1,954670,-1,-1,207878,507295,-1,848309,-1,235397,-1,613024,-1,-1,-1,-1,-1,243548,423017,-1,419890,560883,-1,509409,-1,-1,291852,324748,-1,129749,185346,534464,-1,200944,789094,211817,-1,-1,-1,-1,-1,33456,-1,-1,-1,639260,501114,783842,829149,-1,590141,-1,-1,451531,-1,-1,-1,970390,248048,657431,571843,-1,-1,608444,660469,-1,-1,-1,21927,959854,838314,-1,853136,-1,212105,-1,-1,-1,-1,-1,555743,363535,-1,-1,-1,655576,345457,311831,641268,-1,-1,824265,-1,-1,-1,21662,-1,722168,81773,143775,-1,-1,219144,-1,-1,-1,-1,-1,770636,-1,286220,957582,325298,-1,-1,322134,750676,208387,-1,164097,470045,966889,-1,-1,-1,-1,-1,-1,181262,410824,-1,892986,882739,-1,-1,352653,-1,431248,-1,143790,279259,716558,571259,244062,-1,-1,219457,276414,505550,250420,-1,379190,325784,-1,-1,532125,612350,114377,669929,-1,-1,692779,131954,-1,-1,-1,375787,-1,726207,936022,30845,-1,-1,-1,922897,216376,-1,-1,849124,-1,-1,-1,847356,-1,869360,440424,-1,-1,757935,27736,28454,-1,685988,-1,679889,548444,192389,720076,-1,-1,-1,190677,696597,326997,130292,402451,182907,309114,333191,972896,-1,-1,840004,155109,-1,350741,484702,217960,-1,-1,-1,-1,-1,-1,982316,81331,762772,154786,-1,-1,89408,-1,133930,-1,-1,-1,879320,349693,899821,946148,-1,884519,-1,-1,195819,24943,-1,-1,695618,-1,249677,-1,-1,-1,-1,860749,164844,954213,671534,-1,-1,865345,957571,631803,274500,760662,345370,447055,-1,-1,480726,-1,460253,-1,-1,830071,-1,440291,-1,83602,582257,474686,352341,460476,924828,127074,132062,716545,773313,61481,-1,-1,935189,-1,-1,-1,-1,-1,-1,-1,567144,-1,-1,-1,381304,-1,-1,-1,-1,825926,596686,15230,848171,-1,885350,-1,145662,574685,744092,738709,345987,-1,-1,-1,-1,727294,-1,510904,290028,55876,352123,405319,822488,-1,-1,-1,-1,-1,-1,452,617499,386955,-1,502309,-1,-1,-1,-1,-1,-1,794760,-1,-1,194707,-1,528531,911858,-1,-1,877661,691966,-1,-1,385237,418020,785478,-1,-1,721502,613699,-1,-1,48202,461114,988937,731359,755254,463795,-1,533334,432664,-1,630742,-1,-1,-1,480568,602887,502418,-1,-1,-1,-1,134849,881329,77420,560807,199630,601228,283143,-1,-1,949333,136089,614689,-1,310347,-1,268939,204911,40370,-1,911332,-1,-1,-1,-1,582540,333148,449436,925666,452743,-1,653534,-1,688912,-1,129736,-1,-1,-1,163683,650353,804955,707184,-1,743448,98664,764037,656363,-1,-1,-1,-1,868097,-1,908563,276081,-1,165600,825619,164321,-1,444439,-1,548026,-1,-1,-1,-1,-1,-1,-1,-1,500905,-1,-1,-1,382837,771166,-1,-1,-1,681052,-1,-1,175294,-1,-1,-1,-1,-1,613580,562830,89478,48104,340943,344171,660026,-1,632769,114066,645558,-1,858402,774419,-1,485416,-1,-1,-1,-1,-1,-1,530504,166056,468571,-1,656309,-1,-1,862379,-1,496227,-1,-1,-1,218996,-1,-1,-1,-1,-1,-1,-1,612543,343174,-1,914850,764498,-1,887452,-1,953968,708207,604197,662703,219513,-1,271667,320530,-1,590315,136281,-1,169279,-1,-1,957732,742069,-1,-1,365727,-1,229208,590767,874168,279925,-1,516291,-1,199950,-1,-1,181985,963819,277881,262451,492673,910611,-1,-1,-1,-1,-1,-1,927138,-1,787602,485318,-1,-1,337801,-1,-1,357604,-1,-1,-1,351237,293887,-1,-1,-1,293080,342976,-1,585483,-1,-1,355224,794974,-1,711254,32830,904782,432669,-1,-1,883389,-1,85452,-1,281646,-1,752834,573376,-1,386289,622230,24235,-1,-1,-1,819402,-1,-1,-1,171076,989627,-1,917728,814455,273135,862770,-1,-1,963965,-1,-1,421843,-1,-1,536735,971508,395749,194450,190903,-1,255025,629618,941259,-1,122824,-1,-1,334699,221108,-1,109324,640392,724546,69919,-1,22711,459221,742347,286269,-1,603877,357843,891778,-1,-1,-1,-1,25994,-1,460498,-1,-1,-1,-1,547225,927343,-1,862780,-1,-1,-1,-1,-1,-1,-1,-1,-1,135106,780583,-1,388292,956341,524930,-1,484419,950734,329808,653976,-1,693917,862810,982920,-1,-1,-1,292239,511997,-1,889648,-1,-1,174451,-1,537846,894214,-1,126028,-1,-1,861843,521966,359427,-1,-1,622219,186442,818384,320649,308120,496361,-1,882557,510269,76874,327566,7444,-1,-1,-1,184895,78654,123731,-1,-1,219966,-1,-1,998931,-1,-1,45457,-1,-1,-1,-1,760870,-1,-1,963601,79252,-1,-1,-1,-1,-1,984107,429622,689406,742323,663977,-1,-1,-1,992908,152387,-1,-1,-1,926006,-1,-1,-1,696218,573139,237241,-1,-1,-1,515580,801709,788048,-1,213292,-1,369887,874190,924746,728707,-1,-1,880558,-1,538504,-1,-1,-1,-1,-1,504318,-1,63087,971714,669422,-1,231323,513782,-1,386026,677953,-1,-1,372755,754388,944182,-1,-1,-1,720399,886027,-1,135057,108965,688804,867372,-1,57702,-1,-1,-1,-1,-1,778433,-1,308055,115604,664415,-1,-1,752245,47182,226859,-1,814651,125485,-1,-1,512759,328141,-1,-1,195556,940154,12538,825591,30467,456428,-1,-1,-1,-1,-1,-1,-1,806388,636419,-1,430599,-1,607674,-1,614358,-1,-1,-1,391217,-1,-1,541734,-1,-1,60524,-1,418615,889797,486446,-1,-1,-1,-1,585689,-1,141056,589339,981913,55778,-1,-1,747329,542660,-1,-1,-1,-1,412502,699931,143312,-1,474214,425759,-1,-1,313671,322240,915711,-1,508765,79303,-1,62747,-1,-1,-1,-1,-1,-1,408199,697681,273499,-1,744332,-1,847662,5476,76462,949313,380927,700599,815029,420945,227751,-1,-1,504867,-1,-1,235391,2198,-1,-1,882766,454730,485732,650305,-1,105976,-1,-1,-1,-1,998526,-1,-1,330652,762785,-1,127882,453709,-1,640310,960448,462623,113014,-1,839652,838492,130666,426166,-1,-1,-1,-1,519297,886857,25364,253639,331766,945821,925357,-1,571733,531532,190419,40769,-1,-1,367356,223616,-1,566017,-1,713123,441005,-1,694328,760276,957999,-1,811873,253116,-1,163418,-1,319441,-1,596115,-1,-1,618724,881255,-1,-1,728469,-1,891002,740062,-1,273161,750771,-1,33499,831835,-1,109836,166272,589450,622795,-1,-1,-1,-1,-1,-1,-1,897751,-1,-1,-1,291206,-1,-1,279629,-1,47206,-1,57916,713174,-1,352389,539206,-1,693191,-1,-1,70926,-1,635493,255202,201329,619052,759991,-1,-1,763754,572998,-1,-1,252530,885175,-1,871711,207696,384536,415860,-1,928902,559742,224147,621132,229275,375478,-1,940654,-1,963409,332416,260425,796639,526053,-1,-1,-1,193256,83272,546610,18785,725574,-1,-1,689111,848196,152455,-1,649585,-1,182096,-1,524292,-1,866765,622828,882292,880272,-1,-1,938324,973546,-1,-1,667002,-1,-1,8791,-1,376840,-1,-1,747572,508295,131,-1,-1,-1,725580,-1,-1,-1,890372,-1,3209,-1,-1,326844,-1,-1,922865,568525,963387,507103,-1,-1,946111,-1,671261,-1,-1,181107,949194,5912,-1,-1,-1,-1,-1,232214,672908,-1,-1,-1,956607,-1,-1,-1,-1,-1,482095,447410,-1,-1,-1,443429,-1,96827,-1,295668,-1,380481,980783,275435,-1,566161,613827,-1,535243,723629,88261,365130,-1,140330,-1,862014,752127,-1,303168,901699,-1,-1,572884,-1,-1,-1,300515,918271,223388,44946,-1,292961,146732,850169,-1,954001,350135,865376,-1,102789,-1,-1,266524,236331,-1,399653,30192,-1,-1,-1,790213,-1,31769,139639,-1,17287,36812,-1,-1,-1,47090,398665,583806,135181,-1,138961,-1,-1,955650,-1,905343,-1,-1,-1,633196,-1,-1,856019,-1,-1,-1,-1,176007,139099,-1,-1,338558,-1,181860,619948,449338,-1,37979,112706,628236,-1,-1,197763,-1,265547,-1,-1,-1,-1,-1,-1,-1,750802,166810,925366,-1,-1,423360,-1,698068,200956,-1,839447,544964,-1,-1,-1,621854,71643,113576,245356,446029,378341,588471,-1,180744,675204,-1,977836,683803,903016,-1,-1,184285,-1,406199,9551,148766,24440,-1,708348,481386,992804,298451,-1,-1,505849,295023,171021,418884,-1,296082,-1,206736,92594,599735,549212,907508,-1,-1,188548,28114,523269,178205,-1,-1,-1,627180,700765,731317,-1,-1,-1,-1,-1,-1,-1,744188,431197,-1,184065,-1,840989,46686,-1,781890,-1,673800,881839,160339,208208,598301,-1,57272,9142,992717,-1,-1,74442,-1,583787,-1,361118,-1,51717,-1,-1,-1,660535,869635,258443,171492,-1,254966,-1,441975,-1,395943,-1,-1,-1,-1,967135,-1,-1,-1,54360,-1,639076,180671,-1,-1,-1,-1,-1,341826,612495,721656,468738,255435,-1,-1,680008,422293,772318,82076,138513,294377,-1,-1,-1,-1,-1,-1,896460,409534,657254,97525,-1,52452,-1,120215,693458,768027,772203,-1,599305,462180,776696,181316,118764,607501,-1,479701,-1,284812,-1,344583,77284,968394,-1,-1,-1,489065,-1,-1,219870,250056,-1,-1,-1,289992,-1,124795,406465,621872,512930,709551,287262,391042,41123,684394,-1,853736,-1,288590,842065,358052,-1,-1,62108,-1,87186,730057,331175,398886,-1,-1,334435,-1,-1,-1,501507,-1,311355,-1,869530,930168,-1,474848,483165,-1,-1,-1,-1,-1,-1,966379,-1,-1,225853,-1,715120,-1,-1,941310,-1,868692,-1,7093,-1,-1,-1,-1,-1,-1,-1,159860,-1,700492,-1,-1,15373,630351,-1,965354,385068,328974,-1,888768,428527,726359,33063,-1,884616,851282,83687,338612,-1,221316,-1,314362,-1,44081,707994,713761,-1,-1,319977,802743,-1,675484,616468,-1,-1,498598,764605,-1,454382,644260,466683,-1,-1,-1,569294,-1,836837,-1,541576,-1,140187,593499,831535,995915,154186,424082,609065,-1,898988,76776,-1,837132,687,769284,629634,175257,669531,-1,-1,198785,692933,-1,-1,-1,-1,-1,-1,970385,508285,-1,3702,-1,224744,783100,698135,-1,993740,24837,-1,421307,861796,-1,834579,-1,-1,592512,-1,-1,327360,-1,700656,-1,608499,-1,485753,-1,-1,965522,105053,-1,525505,802087,258107,45752,-1,-1,261332,266540,-1,712771,-1,-1,817988,-1,154932,822775,-1,870634,-1,340434,986555,-1,-1,-1,-1,-1,355220,-1,390310,572904,507125,-1,77694,433966,544905,300190,-1,-1,-1,710277,-1,-1,-1,326076,927037,-1,576990,430706,-1,-1,231943,202063,283776,329811,-1,953916,-1,-1,-1,183338,786351,824660,-1,-1,506487,-1,-1,595362,988831,-1,-1,472895,-1,-1,534320,-1,-1,848821,829190,386697,-1,-1,-1,463205,264944,-1,-1,518382,173547,261270,-1,127113,10665,-1,-1,904017,43333,-1,499450,-1,760753,858214,-1,-1,-1,112419,-1,697005,-1,795158,-1,-1,46295,234814,179952,-1,-1,-1,-1,452305,-1,-1,-1,204579,-1,823300,947911,-1,-1,745369,-1,-1,424324,-1,869216,-1,630373,636539,-1,-1,-1,-1,-1,227010,363241,-1,-1,506280,-1,-1,813566,670196,-1,534301,-1,230620,450624,-1,-1,-1,-1,150126,-1,582199,-1,833174,426092,135703,471022,420495,102007,663062,-1,-1,-1,523845,-1,373003,-1,971980,-1,112635,450865,627412,-1,-1,597023,-1,68279,53424,-1,732038,-1,-1,-1,450023,-1,668365,22666,969171,-1,-1,447992,-1,-1,757573,55241,-1,405915,-1,-1,-1,760114,-1,-1,-1,121598,395653,-1,117990,-1,-1,-1,-1,459842,-1,-1,-1,-1,972954,-1,-1,485590,-1,-1,-1,470475,-1,-1,984609,-1,341054,-1,-1,-1,-1,819924,-1,-1,980316,-1,556825,992505,466060,103399,862947,-1,550117,-1,-1,-1,300960,329968,-1,-1,371530,-1,626978,335359,-1,222089,398462,284264,586322,254069,-1,-1,192045,-1,-1,483163,710873,-1,-1,764495,14337,-1,-1,-1,-1,49183,-1,-1,943896,-1,-1,168494,123432,-1,587344,-1,643524,-1,746357,-1,-1,-1,-1,684123,195147,-1,935920,208652,-1,-1,-1,973001,-1,964539,218024,214077,498308,171437,903720,792097,-1,987065,280403,-1,-1,-1,-1,-1,397105,-1,572548,-1,607148,-1,-1,445910,506313,583098,904076,-1,-1,979346,352127,-1,665511,-1,944707,864073,-1,-1,565672,423025,-1,51428,746064,-1,389176,-1,-1,278259,133958,691250,-1,301293,307288,-1,81041,-1,-1,394549,-1,254667,163943,157101,679622,291575,48626,988736,400544,171284,80172,603710,586941,-1,-1,-1,-1,341718,187564,-1,775763,554463,-1,-1,-1,-1,897467,-1,-1,957908,259047,-1,-1,-1,-1,-1,751557,-1,739105,-1,-1,-1,423369,-1,-1,-1,771265,337330,-1,-1,4668,-1,600803,952971,-1,-1,367346,-1,-1,848941,-1,-1,250984,-1,878262,334923,333562,994901,-1,527724,321693,-1,-1,-1,-1,168312,-1,128589,22372,252873,-1,-1,-1,452243,-1,-1,-1,-1,-1,604516,12968,-1,-1,-1,-1,-1,-1,792339,-1,501427,-1,620821,-1,22898,449444,146386,744190,-1,-1,18493,666772,-1,52329,698138,309874,714044,208002,453546,-1,-1,-1,-1,-1,-1,501248,689479,532975,799441,-1,379595,341191,665407,911024,-1,918218,850581,-1,852714,529074,485171,955264,-1,-1,273903,-1,-1,-1,564756,-1,666953,-1,-1,-1,979941,887236,-1,641169,834927,-1,815500,578152,-1,-1,-1,-1,528148,364059,-1,707503,468255,435865,619538,852719,-1,601140,435284,-1,-1,463677,-1,470320,-1,948772,222602,-1,860991,456813,-1,-1,-1,-1,-1,-1,50789,-1,-1,-1,-1,335105,-1,-1,-1,996422,854257,-1,13413,667793,251762,-1,755797,-1,991828,970649,-1,-1,-1,265500,119301,-1,650777,-1,-1,-1,39698,-1,-1,142521,-1,-1,-1,-1,192415,199303,-1,995618,740200,-1,94774,625805,-1,417309,-1,-1,-1,-1,465675,-1,348410,259074,-1,-1,320131,467588,-1,-1,-1,907606,-1,268102,806505,233910,326789,947194,-1,-1,382634,798516,-1,-1,-1,-1,-1,285363,-1,268236,856892,-1,360316,-1,250344,309802,864654,-1,700550,-1,-1,573359,421235,582017,912388,976956,567323,492301,-1,-1,770642,-1,811175,461371,951978,941462,239115,-1,377483,-1,-1,149087,355466,-1,-1,536678,651520,472915,596648,-1,126833,333800,-1,444086,116921,-1,297812,890972,-1,-1,-1,460486,-1,-1,439976,239136,-1,-1,-1,-1,210939,638356,288879,29674,140880,-1,410477,296313,-1,418448,-1,509510,549862,503797,888264,-1,-1,-1,-1,-1,842193,-1,-1,783501,-1,-1,717736,227082,624980,547154,-1,-1,-1,-1,-1,-1,19547,388573,-1,243145,-1,232646,750822,-1,841752,929466,87125,526021,814121,-1,-1,-1,315763,96902,762184,912350,-1,615343,540481,-1,292250,442866,-1,-1,189783,-1,401577,-1,393114,-1,419303,-1,-1,538545,560743,-1,330076,-1,595539,521378,241427,932843,435641,-1,-1,825620,-1,344975,456254,-1,495216,-1,392622,149531,-1,-1,-1,676856,-1,-1,-1,193467,513924,352088,310357,-1,-1,-1,864225,-1,230096,-1,-1,81215,-1,-1,-1,-1,-1,551254,997950,575777,298107,923432,275929,-1,-1,826944,-1,805344,-1,913468,232885,-1,72036,268582,-1,229233,852529,381648,-1,216383,-1,55897,-1,382150,-1,607745,965312,187823,-1,-1,41738,-1,-1,153472,-1,-1,-1,-1,-1,273590,99240,848900,-1,-1,334973,-1,-1,-1,254121,-1,868196,-1,-1,-1,287379,737780,-1,745555,972184,594383,469969,955481,-1,545342,-1,589786,-1,-1,-1,535031,365627,-1,310741,47612,441036,-1,-1,-1,-1,351965,730017,132631,679404,-1,822796,245177,114025,411780,-1,645670,963469,285833,-1,-1,-1,791750,130284,-1,182190,464256,219813,962817,-1,870718,-1,-1,983003,820863,496190,-1,-1,-1,-1,-1,259191,532612,-1,-1,605518,878169,837890,461016,-1,-1,412762,659643,734531,882539,743961,24613,760002,407785,28983,444786,222428,-1,989682,239746,-1,-1,877015,895128,-1,-1,-1,12859,-1,-1,909485,-1,-1,-1,-1,431832,777716,-1,-1,836190,513905,-1,-1,-1,608365,-1,-1,-1,-1,505822,384651,943279,-1,-1,881153,81851,-1,608352,725779,-1,-1,595670,331251,-1,-1,-1,-1,-1,-1,836267,-1,158637,366790,384002,180481,-1,-1,-1,-1,247559,748435,-1,395918,313348,615918,842076,219130,819598,-1,275598,-1,15660,764036,-1,762840,641682,240676,284855,-1,147382,-1,420607,-1,413689,510264,-1,-1,969063,224453,503463,-1,-1,291284,730144,-1,-1,646006,810548,321034,-1,314165,138078,-1,-1,-1,791255,987318,528072,-1,-1,-1,955668,557995,195917,-1,-1,722457,825524,-1,-1,-1,144077,756786,715255,398651,441342,653567,984702,-1,153037,-1,-1,940454,999164,229642,-1,329669,-1,869010,396111,-1,607234,25338,-1,-1,-1,-1,876662,716370,-1,101687,-1,-1,855799,-1,-1,-1,-1,412353,-1,157303,-1,-1,-1,668038,714630,129725,533121,733414,-1,-1,-1,134741,-1,372114,-1,755404,281136,158137,-1,196753,-1,-1,662974,-1,973289,93873,85709,355961,-1,899600,638438,-1,470312,-1,836340,125393,-1,191580,795136,632868,-1,-1,791160,248011,-1,494434,574571,748337,569379,371655,-1,693839,578698,-1,-1,682236,-1,435693,879603,178447,169738,125834,850954,-1,-1,-1,-1,566474,5980,174934,342923,594129,-1,-1,838335,-1,-1,-1,653619,894133,413393,-1,496608,-1,641379,297589,-1,278651,-1,728399,145821,-1,579021,202184,393013,626515,639274,61575,449813,490266,395412,52820,-1,-1,-1,26363,-1,332871,570509,-1,-1,665862,-1,-1,-1,-1,142082,452500,-1,438315,-1,-1,-1,479681,655623,-1,-1,-1,-1,111985,521163,-1,462930,-1,-1,-1,-1,365943,968336,200659,517854,-1,219829,-1,145458,-1,-1,615251,-1,-1,-1,-1,-1,-1,438916,634746,-1,455546,-1,-1,516568,26733,-1,303996,-1,430120,132059,-1,421255,112977,427804,-1,527583,-1,-1,-1,834851,-1,-1,576085,338485,-1,653008,-1,-1,999948,-1,748984,-1,712259,-1,-1,-1,577670,8538,-1,608265,-1,480495,-1,-1,-1,301784,264984,200672,167263,-1,760047,-1,-1,-1,9415,119685,-1,-1,857338,526983,-1,-1,-1,429166,236198,532683,786614,-1,-1,-1,-1,681531,826267,-1,-1,-1,-1,708472,111218,452861,-1,-1,24019,-1,-1,-1,-1,-1,-1,534381,948657,-1,43783,-1,-1,-1,-1,-1,-1,590804,345827,523920,-1,-1,660746,99983,99946,-1,3813,13788,-1,50758,-1,-1,839836,-1,578490,420689,-1,99860,-1,-1,682640,829338,566924,-1,229185,-1,-1,-1,-1,324138,141396,355216,767934,862769,217328,130536,-1,-1,475948,-1,661387,-1,180096,-1,493835,-1,633786,848143,-1,231686,-1,529508,313623,817497,-1,337293,188057,627685,623138,-1,-1,-1,-1,357072,-1,483036,-1,819284,475889,229458,-1,-1,-1,580156,201201,989920,600508,361385,-1,245907,782707,714898,493475,-1,473569,-1,718265,275896,910907,240318,196943,943578,-1,-1,-1,75176,-1,656256,-1,378914,-1,-1,131821,-1,100208,-1,511434,423557,796095,-1,985145,885884,518205,-1,910945,-1,451195,-1,352034,-1,704137,-1,-1,261577,534760,364411,-1,882240,-1,-1,721360,514298,993126,101237,972305,-1,-1,286592,-1,455016,-1,-1,-1,39611,-1,392152,236412,-1,276828,934468,797199,732445,162687,-1,964495,-1,705450,-1,232458,-1,49704,429872,805990,-1,513531,-1,456280,-1,658610,169171,-1,748299,153019,499938,-1,-1,48209,172487,759337,-1,-1,-1,-1,-1,685402,392854,705406,547955,-1,71621,135878,-1,647863,-1,358310,542562,371133,-1,866963,-1,56815,-1,167188,279314,304187,-1,114080,-1,-1,5856,-1,179368,833709,382712,-1,-1,106297,704471,894536,204869,751975,173634,445154,-1,415884,-1,861147,178240,653430,-1,265727,-1,287209,172169,-1,-1,-1,596541,17793,373905,-1,819798,759478,-1,-1,93423,-1,-1,47823,-1,-1,-1,495329,-1,-1,449678,693617,172198,92745,867708,357812,195934,8203,455116,-1,784093,467560,785866,267069,199896,338828,-1,794280,34471,-1,-1,-1,707662,-1,-1,508962,32571,523922,958796,568497,746273,-1,30104,765751,-1,544539,367799,55565,239508,-1,217011,-1,103857,-1,-1,507762,321074,-1,204084,296437,71112,-1,617834,229856,-1,196926,-1,-1,339073,636270,557095,558615,926545,-1,-1,-1,772210,784847,-1,-1,-1,658614,-1,875438,571550,-1,-1,-1,49202,320087,-1,749931,-1,-1,-1,-1,-1,-1,-1,746435,-1,-1,-1,-1,800403,419134,357007,326350,380311,-1,-1,-1,-1,-1,801272,-1,152352,-1,-1,516186,-1,-1,-1,-1,-1,-1,780449,-1,503232,280666,965393,180725,508372,350563,348599,-1,-1,745615,651409,-1,-1,-1,105215,302043,-1,504100,-1,100689,548860,-1,509435,-1,-1,765444,957650,-1,-1,843093,593742,-1,-1,180507,-1,-1,441621,778868,920413,287934,444870,405811,-1,-1,-1,181106,-1,407449,239065,808388,529735,269949,-1,-1,-1,361553,-1,410466,670904,-1,-1,91399,-1,317570,477231,-1,-1,276120,685340,233866,-1,104986,528518,965371,883371,-1,-1,-1,869438,-1,133169,-1,-1,-1,264054,917087,-1,409407,-1,95569,568025,997029,177138,-1,654708,560651,989568,-1,697115,-1,-1,-1,-1,705005,261174,491462,-1,-1,969616,480549,327941,-1,263312,-1,448661,398485,202747,237383,-1,75490,-1,-1,-1,165366,-1,-1,884655,-1,98570,-1,-1,653393,-1,-1,-1,67015,175418,989827,103902,835687,-1,667400,-1,205637,-1,18737,72639,-1,558338,144811,88086,-1,159174,809921,393796,699896,-1,-1,729607,475438,-1,245121,301032,46118,901943,339743,194688,-1,-1,-1,-1,-1,-1,-1,290752,596315,-1,167300,738879,839845,899793,-1,523539,562468,468823,-1,479408,66145,-1,50743,56158,-1,287731,317070,333425,708401,520448,28392,-1,-1,-1,-1,-1,766549,549489,-1,200746,-1,27021,528157,-1,370238,-1,-1,-1,-1,643001,536109,423271,285075,-1,149943,-1,825019,-1,302199,-1,341943,-1,560547,-1,-1,657741,472037,-1,-1,-1,-1,-1,-1,983579,953439,956034,-1,419548,497945,-1,363465,862122,-1,-1,-1,-1,596185,-1,420384,-1,529399,899374,-1,499107,-1,575510,638422,-1,33538,628077,322926,343454,-1,-1,408291,955118,-1,-1,-1,406243,236311,111587,-1,493379,-1,673560,-1,235685,-1,-1,53591,215015,159842,-1,-1,-1,587030,995880,-1,-1,-1,-1,51994,114896,-1,825738,279365,150927,452706,-1,902127,286591,-1,-1,348347,-1,814347,-1,5478,288571,173992,517426,-1,58742,-1,-1,45298,731975,-1,-1,17062,856689,240768,-1,991667,-1,-1,417868,141137,-1,-1,901812,602054,-1,744944,600753,-1,-1,-1,-1,-1,964494,502653,35775,20883,-1,-1,556965,673423,-1,256688,946134,452951,249389,501816,799435,-1,552408,889878,656337,546408,-1,909286,115928,-1,818273,328835,-1,-1,-1,945408,-1,-1,-1,-1,504276,59691,191576,36956,-1,-1,-1,-1,742065,-1,833289,405506,962292,-1,317914,-1,188478,-1,834294,-1,-1,938905,103958,-1,676449,-1,229914,811100,-1,-1,339689,-1,-1,-1,-1,532754,-1,-1,-1,-1,847642,-1,868400,-1,-1,586593,-1,-1,460167,-1,91654,104373,271691,454518,3582,585147,-1,506250,406866,44910,595848,781815,582718,-1,514665,-1,-1,-1,-1,-1,64207,-1,145059,948783,951488,-1,991791,-1,296084,-1,385790,-1,49822,-1,454312,-1,492638,696147,-1,605512,848971,-1,531694,249420,-1,165114,-1,-1,435104,900332,813857,472513,-1,-1,-1,-1,295289,-1,618270,832033,431342,831362,939656,372462,-1,-1,-1,697605,-1,-1,-1,583633,257169,90181,-1,-1,635027,831869,171045,-1,294246,-1,725112,600554,832964,-1,209231,-1,-1,-1,-1,-1,-1,271377,-1,692029,-1,74774,-1,-1,-1,-1,-1,338203,313951,815050,492764,934572,-1,-1,127709,-1,-1,749150,805432,-1,488686,16488,345850,803809,693753,841878,454800,785418,414367,438383,583270,-1,59930,599265,-1,-1,-1,842137,-1,282049,277689,-1,377371,-1,794145,-1,-1,226547,-1,-1,-1,796343,686778,949737,-1,844794,-1,618919,-1,-1,-1,-1,431483,699278,253909,562562,-1,83696,714912,-1,-1,597126,182349,-1,36043,72512,-1,-1,73388,-1,-1,543493,696867,-1,-1,-1,-1,-1,-1,-1,920784,-1,43602,14084,937665,320567,-1,-1,-1,369423,-1,151276,464391,390041,253560,-1,644394,550817,823793,-1,-1,-1,-1,-1,52554,-1,726883,388610,697378,493447,-1,-1,285318,-1,511023,-1,756307,851298,-1,-1,901156,-1,-1,-1,494467,-1,309353,-1,-1,-1,748133,-1,924386,-1,957008,90283,860535,326913,-1,236914,486774,665517,-1,536571,433067,-1,539149,470886,440526,541356,86534,-1,656071,-1,-1,-1,-1,-1,253828,745496,-1,778601,273346,-1,101030,-1,-1,369853,-1,-1,961124,-1,137830,-1,493562,772149,646599,388649,-1,-1,-1,-1,-1,-1,-1,-1,651919,-1,-1,14273,-1,125761,-1,119193,622618,244298,263167,-1,-1,-1,-1,-1,-1,949065,-1,990351,847999,-1,-1,-1,-1,-1,200385,784091,447401,234820,-1,-1,-1,153329,483148,810893,-1,137163,-1,-1,554811,952609,55801,113887,461040,-1,-1,-1,-1,-1,-1,-1,373831,4621,807800,145462,290989,-1,-1,164805,971084,830900,-1,-1,-1,970128,-1,-1,-1,-1,-1,75179,-1,-1,295082,-1,999726,18807,-1,321406,685636,772959,926110,-1,-1,974564,701804,222622,593775,246584,-1,904845,48206,891654,802182,837203,-1,464404,420047,-1,-1,-1,-1,141785,-1,911960,18281,914645,888358,465268,-1,966352,203259,-1,605944,-1,-1,-1,837066,996144,136902,127531,772885,-1,993658,38981,653183,566130,-1,-1,-1,-1,-1,66517,-1,780854,466957,-1,-1,627464,212706,-1,415060,814759,120428,-1,75033,-1,-1,670011,-1,-1,414,-1,541044,-1,342455,-1,-1,-1,-1,-1,-1,-1,141445,545300,753207,553509,766558,560772,-1,827948,-1,-1,-1,-1,-1,230909,758851,445450,-1,419655,914652,-1,776968,-1,-1,241734,-1,652251,-1,1945,176723,-1,774832,343530,965233,-1,364940,453395,-1,602156,-1,-1,642932,397124,-1,-1,-1,-1,985617,82196,652801,-1,787824,-1,-1,819139,626697,-1,863673,-1,953414,-1,-1,706795,-1,-1,794809,-1,-1,591165,594192,-1,153626,520527,511944,454296,298156,288512,-1,264585,980097,-1,-1,-1,252154,768205,891908,143282,594765,-1,-1,930737,930685,200664,-1,-1,299501,61666,192493,523142,-1,553434,-1,-1,-1,719744,653514,-1,-1,-1,683687,531786,-1,-1,-1,666108,654895,-1,363104,974640,-1,290260,220266,13230,-1,463312,734599,-1,670357,-1,-1,-1,769687,-1,-1,-1,104202,638728,-1,366905,-1,53937,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,76063,754751,564958,100283,-1,-1,431847,58275,-1,500037,961060,755723,-1,-1,-1,922775,880992,421428,422202,-1,533936,445606,236871,132348,-1,141196,-1,605337,-1,-1,-1,693709,-1,-1,847103,418801,-1,-1,-1,-1,-1,-1,-1,-1,206063,-1,-1,-1,-1,-1,284544,-1,-1,-1,-1,-1,-1,302855,-1,-1,-1,304503,236940,-1,-1,128528,-1,84458,752858,332778,-1,275651,-1,463870,525718,975644,-1,-1,826474,-1,-1,-1,-1,-1,441305,120693,-1,-1,-1,662257,405393,212612,787340,664756,467468,341611,13621,418559,553630,945116,-1,-1,484724,-1,545848,553141,-1,-1,-1,-1,1776,576963,947230,387735,610372,-1,176137,321407,-1,745629,-1,-1,-1,-1,820374,521178,491046,-1,655360,-1,2786,237526,-1,23217,-1,125346,52156,246042,-1,-1,141840,870330,-1,714763,687516,48109,965164,792761,305535,-1,-1,299338,-1,-1,-1,217869,-1,-1,100148,468883,-1,567436,-1,75357,-1,883216,-1,665246,603947,-1,134882,569450,-1,726426,-1,415172,19217,876406,-1,549345,-1,-1,-1,-1,212007,873852,83212,176995,618408,595326,-1,773002,-1,315404,983068,-1,85054,165533,-1,-1,-1,-1,538970,-1,756637,868152,-1,-1,-1,-1,-1,333694,-1,-1,-1,968416,838911,-1,-1,339349,650223,251089,-1,-1,73250,-1,-1,48346,618997,-1,488373,183372,770735,635681,911735,-1,667413,734960,-1,-1,224203,-1,-1,444228,-1,798182,-1,-1,9997,-1,150645,870747,188584,150401,-1,-1,-1,660953,-1,-1,-1,818184,484158,-1,-1,257472,-1,475571,-1,697704,73000,676364,-1,-1,671561,848783,118848,666709,114398,908085,647780,999396,461073,-1,501736,-1,-1,-1,-1,-1,479455,622456,-1,810844,-1,-1,828392,-1,-1,729093,525326,-1,-1,-1,67029,-1,-1,-1,-1,404782,-1,-1,-1,292682,-1,-1,769685,-1,-1,794270,908240,116932,672497,-1,-1,-1,572155,576034,-1,-1,387061,129509,-1,-1,414938,625865,-1,-1,-1,608378,835807,-1,200954,-1,350084,249432,327288,-1,9956,227188,-1,144617,681076,-1,-1,879106,75431,147628,-1,-1,-1,-1,495307,-1,750813,-1,-1,-1,-1,-1,913925,355447,638571,-1,441284,-1,-1,-1,281769,510467,-1,-1,-1,975085,-1,770184,-1,239682,306385,179941,212649,-1,834511,-1,-1,-1,-1,983584,-1,-1,697479,359579,37616,972206,-1,959005,-1,127273,77785,919970,412295,-1,860571,-1,239434,-1,-1,537591,-1,972544,-1,-1,-1,-1,-1,-1,-1,399224,282002,657034,712648,395917,-1,-1,-1,742693,821406,-1,-1,744166,-1,-1,629469,901534,-1,-1,610227,-1,-1,-1,-1,70639,-1,-1,101509,609219,-1,-1,618217,-1,-1,152791,904293,-1,-1,978177,859823,-1,70785,145592,-1,-1,956020,-1,-1,946776,24667,-1,224988,697125,218804,-1,-1,972207,37672,563675,661009,973352,-1,487125,380942,-1,843047,-1,571857,-1,-1,351870,-1,-1,49463,-1,-1,987226,578336,-1,-1,96293,-1,998869,821694,-1,202932,-1,-1,561068,295428,-1,-1,-1,310634,5870,285450,233331,-1,433352,-1,385812,-1,604135,57565,882124,943025,213113,-1,589670,-1,-1,-1,-1,-1,-1,751197,211913,-1,-1,298761,-1,-1,358248,-1,-1,-1,-1,-1,-1,-1,571952,509445,745534,204318,976696,-1,466012,-1,-1,-1,379043,-1,844900,709239,-1,818466,327192,-1,52530,753853,-1,452383,474263,-1,631125,51812,-1,-1,415510,515232,387189,252964,-1,425388,-1,466735,-1,687071,506342,249971,-1,-1,74424,153605,163671,912676,829210,-1,-1,-1,199760,65280,-1,946674,-1,292556,605558,-1,-1,-1,129882,-1,93368,-1,-1,-1,-1,326862,485517,678665,-1,-1,-1,425558,-1,-1,-1,71135,352057,-1,252213,-1,-1,-1,177131,-1,-1,-1,727936,-1,353423,216911,132630,648892,67795,-1,51737,-1,985111,-1,-1,-1,609777,-1,648610,764569,-1,-1,936413,-1,-1,263092,-1,-1,-1,-1,-1,-1,-1,-1,141319,-1,153932,-1,-1,517281,868664,-1,-1,618389,168626,-1,-1,953455,-1,359368,334335,836255,723681,198305,297441,-1,-1,958376,785262,87668,754166,-1,-1,-1,-1,-1,119794,281701,816013,-1,405008,-1,930228,212253,-1,-1,938702,240068,-1,-1,11160,-1,357871,250158,-1,315117,-1,-1,976078,-1,172239,-1,-1,-1,260564,119540,722958,-1,360525,-1,362736,-1,740264,926917,-1,-1,324998,-1,347530,778157,902717,-1,902982,167371,-1,-1,-1,711575,846991,240479,357478,426344,342310,-1,-1,-1,714671,-1,20166,375915,228127,36611,-1,-1,430334,219186,-1,-1,251565,403772,-1,-1,106225,339887,-1,308840,-1,839616,470490,-1,-1,775277,-1,500354,128368,262608,756113,-1,436761,592514,-1,562921,180956,-1,-1,820288,-1,296615,-1,-1,-1,-1,-1,-1,-1,784464,-1,-1,812919,-1,570968,-1,224376,-1,-1,-1,-1,-1,-1,657554,-1,861394,-1,751038,-1,353567,536435,584813,-1,981680,74870,701104,284029,1407,9802,25391,-1,627070,-1,-1,541269,-1,881480,439538,-1,66670,74109,817509,-1,-1,647543,328410,624082,-1,773057,616332,484556,323488,-1,-1,-1,987841,-1,270250,772784,-1,101186,315878,758994,859828,-1,803533,323041,-1,892780,951858,287305,-1,-1,913907,673410,462002,725421,230949,782457,-1,-1,869880,-1,-1,-1,-1,26478,425352,-1,-1,-1,-1,-1,356819,364113,-1,-1,170373,243350,474334,916033,826618,-1,-1,-1,-1,562838,935634,-1,-1,426078,-1,907311,-1,502222,-1,98878,-1,-1,-1,473211,954993,646089,-1,423574,889792,-1,70382,864645,-1,-1,136806,-1,999328,692633,993713,782610,519605,603609,517717,167611,11781,-1,-1,109988,-1,-1,460731,-1,-1,699480,-1,-1,-1,-1,284702,373075,-1,144283,111581,357582,-1,190996,-1,-1,-1,315803,-1,768566,-1,52060,517001,507408,-1,-1,109280,-1,-1,861936,436548,-1,-1,-1,31319,-1,52468,-1,-1,-1,-1,509291,715682,935399,237434,564833,-1,-1,452541,323678,453757,720035,645664,740360,-1,959240,-1,692467,587618,-1,803249,227169,763379,-1,-1,105180,578383,-1,-1,-1,496521,-1,-1,322103,-1,156281,-1,720486,225222,-1,-1,384214,700187,322738,-1,-1,876519,223431,-1,418943,970856,767281,-1,-1,-1,938194,-1,789080,-1,-1,530552,-1,-1,469611,935841,203015,900295,-1,-1,-1,22793,-1,493642,839985,857723,-1,-1,-1,-1,-1,-1,400578,913861,-1,-1,123652,296103,569916,760611,-1,-1,913500,197368,604349,356413,311867,327776,796177,-1,-1,985019,578979,-1,271569,-1,-1,-1,527484,353223,828811,308447,-1,246719,758567,643422,-1,900993,-1,106968,112319,17661,330824,895945,975057,-1,-1,-1,794192,21383,-1,-1,241983,71412,501105,932587,-1,853893,376387,475408,63304,-1,49642,-1,-1,-1,-1,-1,611066,-1,-1,822726,570211,-1,-1,485922,-1,554164,998388,47200,102458,-1,-1,-1,-1,-1,-1,-1,452284,89802,-1,-1,-1,623156,498561,-1,-1,-1,-1,677278,151760,999244,-1,442824,815604,155556,428751,-1,-1,982895,-1,-1,641282,-1,-1,-1,652893,630277,-1,677292,-1,-1,-1,982205,718120,219011,527531,-1,-1,815493,-1,-1,-1,-1,553224,920795,-1,-1,590327,-1,-1,-1,-1,-1,651268,-1,319248,-1,291790,106768,747231,923236,907064,-1,-1,-1,604151,894385,-1,-1,433746,249034,-1,743864,-1,-1,960180,620844,416710,48245,922649,681280,748190,524628,537651,999688,-1,515399,327104,-1,718639,333836,463248,-1,-1,-1,238503,727853,-1,-1,-1,190198,144263,-1,-1,-1,655855,-1,883836,630324,-1,-1,4726,-1,-1,511676,298123,110886,266842,667522,742168,-1,61772,-1,643445,-1,396067,981880,-1,-1,977269,-1,-1,858419,135583,110831,-1,718719,958589,572881,85149,95190,948257,3755,857752,116839,201778,-1,-1,185123,-1,265851,-1,-1,972753,743959,-1,-1,-1,-1,265630,-1,-1,-1,-1,705448,219713,61833,-1,-1,-1,-1,330247,824406,-1,847911,987593,-1,545326,686626,-1,-1,209388,-1,-1,1339,-1,-1,990653,-1,-1,-1,676632,12767,398904,75553,352732,601758,-1,955715,-1,-1,-1,-1,-1,196123,721681,506290,403709,851119,887481,988241,534005,588268,852360,-1,-1,-1,-1,94505,417314,-1,485722,-1,-1,-1,-1,-1,-1,-1,-1,-1,965884,-1,163329,-1,913765,20187,-1,474034,42949,-1,-1,318631,572069,-1,-1,373853,859545,183348,-1,256361,-1,-1,-1,547397,-1,116363,321830,428979,-1,-1,194750,403550,448844,417467,747344,-1,-1,-1,578085,-1,-1,50733,-1,-1,-1,-1,-1,398096,-1,551314,-1,267778,373501,384689,21076,993167,853085,226986,-1,-1,-1,-1,-1,-1,824206,-1,682285,89393,969777,-1,-1,159793,162927,-1,841626,-1,-1,-1,35285,68457,217171,924593,984984,-1,-1,121909,472452,-1,-1,677361,-1,321613,360092,433744,-1,-1,556463,-1,535351,-1,83518,-1,568905,693846,133771,-1,709034,-1,-1,-1,643991,-1,-1,-1,881576,913368,-1,-1,37609,-1,-1,-1,87238,-1,188114,551043,-1,537606,-1,-1,212727,414580,-1,94483,-1,3735,-1,796003,-1,295970,487439,-1,-1,166938,-1,623173,864964,-1,382891,675208,-1,-1,465641,-1,946909,601422,899962,-1,193760,643410,963620,-1,-1,-1,767273,-1,-1,-1,-1,-1,-1,692800,560688,-1,-1,-1,590396,-1,-1,659780,-1,-1,799057,-1,-1,-1,-1,-1,-1,-1,374947,673096,615367,975479,384192,-1,-1,472220,-1,238879,-1,-1,237160,225006,926637,166369,980369,-1,-1,862029,304767,246586,-1,-1,-1,769047,99039,538373,716349,-1,944186,170988,-1,217729,41845,-1,-1,-1,432778,-1,95156,447586,511402,-1,814895,-1,-1,656031,-1,26010,-1,-1,-1,359973,174975,-1,-1,816190,-1,-1,-1,116281,-1,-1,-1,815508,208820,-1,-1,-1,-1,655344,-1,-1,-1,214625,593173,209098,460141,-1,-1,948276,-1,787920,490631,902635,-1,-1,378411,733586,430690,8143,-1,-1,-1,665537,-1,536462,-1,919243,-1,-1,-1,-1,820947,569591,285602,411103,857666,219120,661603,-1,852068,101866,921889,-1,-1,-1,-1,-1,589735,796395,-1,-1,-1,429554,503153,-1,-1,-1,-1,521108,855050,-1,721527,950246,773202,158750,425351,485029,129806,-1,819820,-1,752054,-1,-1,201664,-1,-1,-1,-1,799507,-1,-1,234072,702948,812752,234449,-1,-1,445557,-1,871403,938296,44846,631949,952439,571000,412183,-1,963957,-1,-1,65242,65475,-1,-1,22952,879429,-1,-1,-1,-1,-1,890546,-1,299292,-1,-1,817282,-1,900212,813353,-1,990031,376923,726478,549731,967411,-1,-1,590387,-1,-1,258138,-1,307864,-1,-1,599950,873329,325624,-1,214492,-1,-1,866973,-1,-1,256493,194484,869804,-1,-1,-1,56374,-1,-1,634382,199876,383105,-1,-1,-1,523924,207978,-1,-1,108872,166435,44465,508731,977600,-1,-1,671629,-1,-1,442657,909032,488274,-1,152741,-1,656933,430037,-1,459399,-1,-1,-1,98921,420390,30122,-1,568638,276607,725372,-1,538802,-1,-1,-1,783127,-1,-1,-1,668948,828372,790716,-1,-1,-1,-1,889947,-1,953115,883740,-1,195209,-1,-1,251501,916213,-1,-1,-1,-1,920181,-1,-1,606093,521185,-1,911682,-1,-1,-1,-1,-1,-1,146867,989167,-1,940271,813770,576753,963988,73350,-1,-1,730278,1669,-1,-1,666433,7665,-1,-1,-1,969952,324415,484786,-1,180208,-1,219462,-1,152492,772214,937160,267759,73813,-1,-1,700438,-1,-1,-1,927917,598359,28208,7817,-1,-1,-1,580307,378632,-1,295552,520524,808327,434628,-1,678608,753110,-1,415076,641525,814887,72608,-1,491319,851160,-1,-1,-1,60850,568789,43934,105238,669813,7361,-1,289716,946982,-1,-1,-1,-1,106836,-1,501093,-1,-1,-1,-1,-1,985497,-1,-1,909586,-1,-1,-1,120849,-1,950804,228705,-1,418957,-1,289619,-1,-1,-1,649100,-1,743575,-1,-1,68772,633190,126606,476663,-1,-1,-1,-1,409821,636385,-1,-1,461216,-1,174845,377494,787484,-1,422126,-1,-1,-1,-1,715403,529539,375670,-1,377138,519487,350863,-1,161653,-1,955028,-1,-1,607254,-1,617576,197500,116898,289009,326589,-1,695040,-1,-1,-1,366718,610177,176841,631302,-1,-1,-1,21898,-1,74990,-1,359376,-1,720166,-1,-1,34911,-1,344645,993790,-1,53442,892436,-1,747737,985134,-1,147350,918456,-1,-1,-1,-1,-1,278165,409997,-1,-1,386109,-1,-1,-1,263478,394286,-1,-1,333043,349762,765715,765783,587746,-1,-1,-1,-1,-1,896759,862872,116354,590192,483116,-1,-1,-1,-1,-1,661783,574408,59978,-1,911314,-1,700322,243665,378059,742673,-1,-1,586681,-1,216622,-1,993493,101869,-1,596465,-1,78173,749808,239384,706488,-1,671284,583646,908367,-1,-1,-1,472573,237338,677637,384121,-1,-1,-1,646382,159551,-1,-1,118906,899259,-1,-1,245864,-1,145944,933738,-1,658686,125106,-1,-1,237318,692003,-1,647903,76212,109297,919456,-1,598830,582335,-1,-1,-1,256466,-1,-1,52295,-1,-1,791203,905080,-1,-1,-1,-1,744311,-1,349625,-1,970422,-1,-1,377583,-1,23888,-1,556398,114674,-1,-1,52342,685122,-1,-1,166966,-1,-1,-1,322776,974509,-1,-1,588796,-1,135138,-1,-1,902277,680572,-1,656161,-1,300510,-1,635436,925541,179964,765158,964791,-1,-1,-1,-1,962124,-1,517365,263303,175980,-1,-1,656723,280232,-1,401075,20979,-1,902459,182921,-1,931505,375523,-1,241515,-1,541332,-1,-1,88515,-1,-1,-1,-1,-1,708927,-1,945275,405045,-1,72907,-1,-1,-1,-1,-1,32669,-1,26720,578055,879040,919257,500853,487751,-1,-1,-1,565064,769147,-1,-1,98606,-1,31427,-1,957337,808181,116016,-1,830257,386101,-1,-1,-1,-1,189252,-1,817915,474502,94565,-1,-1,-1,995864,-1,-1,-1,-1,854430,-1,342443,-1,-1,623039,-1,-1,31301,-1,371708,-1,-1,-1,735887,796017,532937,-1,-1,-1,-1,-1,-1,960545,-1,-1,806948,461567,225307,42835,935383,774951,-1,266323,743193,959293,943855,-1,-1,-1,89679,807060,460746,999114,-1,-1,-1,107863,-1,860455,316321,286998,-1,278847,-1,-1,277273,434235,-1,-1,227642,683133,-1,650931,-1,583716,-1,-1,-1,342359,-1,409116,-1,-1,-1,-1,-1,-1,-1,661064,-1,-1,215936,78123,-1,-1,954008,914709,-1,-1,-1,668346,933966,592120,752954,-1,-1,608211,301227,1640,23282,229709,292558,-1,568794,-1,443380,-1,426453,-1,-1,629184,286829,-1,806224,-1,-1,-1,651979,928170,-1,-1,-1,-1,880752,-1,281042,-1,112973,520644,401804,642655,682889,-1,-1,-1,444488,-1,548251,-1,-1,868132,223084,-1,914735,-1,-1,-1,-1,-1,938235,636741,202704,-1,-1,214847,-1,252903,651196,-1,537319,135423,85778,-1,14161,409308,916176,-1,-1,256487,602861,-1,142363,980516,-1,-1,-1,493030,56651,-1,883589,-1,-1,-1,379294,-1,296244,-1,513405,209372,-1,-1,-1,996352,-1,-1,634897,199968,-1,-1,-1,134332,-1,-1,-1,104935,27043,-1,-1,-1,-1,838762,-1,-1,-1,-1,555874,159534,833067,871366,-1,-1,12456,736282,-1,-1,34147,70448,-1,559890,-1,533181,-1,-1,-1,613492,-1,-1,478640,-1,-1,-1,-1,-1,498888,-1,-1,534212,951024,7907,464316,-1,-1,-1,514014,858733,-1,-1,666576,-1,-1,-1,660346,835234,442594,667515,-1,190520,-1,-1,361967,-1,-1,-1,997732,242839,930933,-1,292868,170097,-1,-1,819644,860026,-1,-1,488934,917592,618629,-1,-1,-1,-1,970816,-1,-1,-1,-1,53690,844516,-1,-1,-1,-1,-1,362714,425574,142815,-1,336184,242058,865288,-1,68661,490687,421043,-1,-1,-1,-1,170236,649360,-1,-1,198262,385115,-1,-1,337881,-1,-1,-1,-1,-1,960235,532871,-1,919103,590057,224301,-1,793325,-1,-1,-1,437873,756970,830060,-1,380599,241526,143893,-1,-1,-1,-1,365086,944224,18252,-1,-1,-1,606041,-1,-1,533182,599778,-1,-1,-1,524674,689979,198594,-1,-1,-1,-1,-1,-1,572009,-1,288947,983153,-1,452974,586278,776029,-1,791333,872604,635395,504027,-1,-1,-1,-1,547475,44404,-1,-1,-1,422519,-1,64651,-1,-1,648827,-1,-1,649764,-1,360311,456828,-1,-1,725851,176305,-1,410893,-1,10158,-1,447985,616421,686734,778687,-1,724938,789179,47672,-1,825135,11698,-1,-1,-1,512916,154295,-1,-1,-1,-1,927867,-1,-1,934493,103778,-1,353179,-1,-1,-1,-1,-1,310956,-1,-1,-1,-1,-1,-1,791817,167683,666124,-1,244929,295437,903891,-1,575318,-1,-1,-1,-1,817656,946468,-1,98656,557053,-1,-1,-1,-1,257600,965824,-1,-1,640270,-1,341829,-1,-1,-1,307515,-1,-1,-1,190256,-1,363211,799807,14014,-1,-1,-1,928326,-1,566939,752723,-1,783090,549583,-1,-1,241036,-1,-1,-1,799279,266169,360620,846995,467403,445197,596301,-1,878122,-1,-1,-1,-1,777641,702460,-1,253832,815056,-1,193333,876297,-1,-1,-1,-1,-1,205530,207949,273280,-1,-1,-1,-1,346951,-1,-1,-1,368791,-1,-1,475002,619092,-1,-1,-1,746922,-1,290145,-1,-1,-1,-1,755428,139449,307878,146058,811361,40491,983300,-1,576448,945580,698231,-1,-1,233539,-1,-1,-1,438319,676559,707776,136459,-1,688669,411776,-1,-1,-1,-1,50213,112344,-1,377187,405091,-1,-1,35634,-1,320279,-1,133606,661417,-1,-1,-1,120469,530782,870011,526421,-1,-1,185698,834617,-1,-1,488357,-1,-1,-1,-1,328131,980058,709963,-1,-1,-1,-1,-1,875167,-1,-1,48433,549104,-1,-1,-1,253252,986952,159136,-1,-1,-1,-1,-1,178450,-1,345421,358943,273221,-1,-1,-1,-1,31467,768518,-1,-1,-1,-1,-1,995566,-1,-1,304177,-1,-1,106909,-1,199224,598939,885106,-1,418849,-1,-1,906919,-1,3605,-1,-1,-1,-1,305455,403356,-1,-1,-1,-1,-1,-1,-1,593119,-1,288172,-1,-1,802074,553923,-1,-1,75040,-1,671896,-1,-1,453052,320465,-1,-1,-1,-1,-1,-1,148070,440528,986988,532128,462478,173865,-1,-1,41870,472213,957117,-1,-1,-1,-1,28108,-1,418954,-1,-1,-1,974625,-1,310384,748473,9870,-1,190468,-1,33444,448800,865903,-1,495385,-1,-1,-1,2058,-1,509988,-1,502213,-1,238358,-1,619283,-1,-1,3617,665614,-1,19470,-1,-1,681522,-1,-1,-1,727014,-1,-1,136442,-1,901757,-1,-1,-1,294579,185693,827523,-1,563374,211082,881553,-1,-1,950352,157889,704220,-1,-1,314252,811332,-1,664952,161974,-1,-1,289713,472064,-1,-1,868170,249101,717504,620020,-1,156063,699240,-1,-1,-1,687498,-1,-1,65130,-1,73512,890910,-1,489037,887302,-1,-1,-1,674182,-1,27717,-1,-1,-1,959266,112887,367220,-1,695130,612915,209953,-1,852632,-1,-1,830665,-1,-1,77232,462055,398532,889871,175429,583900,175102,-1,831761,-1,380869,-1,719347,628424,725353,151364,384607,-1,-1,-1,-1,-1,-1,56135,-1,-1,-1,913043,264378,153022,105803,-1,61452,-1,-1,150090,-1,-1,703738,-1,156246,499389,164578,-1,-1,-1,-1,217567,-1,186253,-1,-1,101008,931531,268562,204495,341216,-1,-1,-1,839515,-1,-1,443146,-1,164983,-1,432918,259056,-1,447162,-1,132588,-1,-1,793276,-1,379122,-1,773468,-1,-1,929724,-1,780491,911246,-1,-1,-1,983195,-1,797425,497982,825070,883516,-1,-1,821259,83826,505357,152079,-1,-1,904619,-1,-1,169936,906102,-1,335459,499590,203701,-1,975083,-1,-1,-1,-1,-1,308512,-1,-1,-1,-1,117149,-1,992129,-1,-1,363796,-1,-1,-1,583856,921887,773000,-1,-1,983928,247462,-1,-1,-1,639690,173080,-1,401776,738829,953447,617031,72834,699274,-1,772783,-1,-1,241686,-1,635962,-1,606894,-1,857619,-1,165072,-1,276971,-1,-1,335743,-1,325889,403736,-1,-1,667211,926701,-1,215496,199200,-1,344197,407699,260059,-1,226118,212663,9212,574803,783146,953762,-1,-1,707845,-1,414023,710954,931539,814505,-1,-1,246073,-1,-1,920875,-1,696678,-1,516486,962006,-1,-1,-1,-1,-1,-1,128351,592228,58920,-1,-1,-1,-1,-1,-1,-1,677551,728848,-1,267825,-1,-1,-1,514970,156145,-1,-1,687604,154702,906686,216947,-1,-1,735297,-1,-1,-1,424321,-1,174073,926289,-1,-1,-1,-1,522447,-1,-1,734015,-1,699637,884501,-1,657809,822850,-1,-1,930522,-1,4436,-1,119022,631233,-1,-1,-1,632213,718099,542500,-1,576851,93332,-1,727544,-1,28276,-1,522299,173515,-1,73625,-1,597906,497452,245523,-1,-1,-1,884630,-1,-1,118535,-1,-1,863244,-1,9284,-1,-1,753442,961496,-1,-1,454649,-1,666807,-1,370417,140326,704032,598394,-1,-1,-1,-1,-1,-1,-1,293218,-1,-1,422376,-1,566179,-1,134060,-1,853060,168433,556947,-1,-1,-1,418624,556207,257337,20717,873996,-1,-1,393767,-1,-1,261608,-1,946002,-1,386663,371818,216589,903775,-1,747159,337080,-1,304033,281392,-1,544137,-1,-1,-1,548624,131289,859989,832672,-1,-1,948949,-1,-1,-1,-1,600870,898856,149219,-1,-1,361784,561640,172563,-1,401372,404236,957074,-1,-1,-1,34921,-1,491621,621587,-1,-1,-1,302845,612801,61424,-1,-1,102286,84933,-1,66861,-1,712560,-1,299632,-1,-1,750253,-1,-1,777377,847433,-1,-1,332404,311923,-1,-1,-1,316670,283605,173804,57940,696434,700539,813052,5412,-1,251710,-1,651069,-1,369622,267285,-1,384325,123232,346070,-1,113967,-1,-1,68121,-1,-1,-1,848049,-1,988297,301903,795708,290890,579988,-1,776353,-1,-1,666698,-1,-1,-1,-1,300647,420944,621097,216655,-1,-1,270995,-1,655984,666230,665836,-1,-1,326607,327542,-1,832331,634622,323534,-1,-1,-1,255458,-1,690024,-1,-1,434241,-1,-1,-1,-1,-1,467281,-1,771220,650750,88722,-1,-1,-1,-1,582375,-1,-1,165227,713924,990625,979112,718047,661830,317189,603173,339104,747248,-1,561213,-1,367390,462796,375619,-1,-1,-1,-1,288091,882990,-1,-1,-1,-1,815841,-1,18353,26466,573609,571777,311190,398724,-1,937106,685210,-1,977979,-1,-1,-1,-1,891892,-1,968536,502238,-1,783431,-1,-1,-1,773812,-1,25711,872553,-1,556898,220422,-1,-1,-1,17040,790741,779298,726591,22123,218800,-1,624811,-1,419410,320908,-1,572986,-1,207566,794367,275736,-1,-1,64611,-1,296140,-1,272811,280695,933277,168501,146601,-1,-1,-1,950619,708976,867596,165412,475114,-1,-1,-1,46096,944078,681871,-1,-1,-1,-1,999765,-1,815246,-1,-1,-1,-1,-1,-1,730100,-1,794906,-1,-1,959702,396299,630374,306547,-1,544317,-1,198575,-1,834008,-1,-1,523499,-1,-1,801914,245705,-1,413910,546187,765362,-1,932002,-1,-1,174684,-1,527350,413732,-1,-1,-1,788939,-1,165626,645072,197193,-1,-1,-1,87316,-1,60645,-1,419352,-1,-1,341707,969034,607144,762813,197839,987469,932744,-1,-1,847778,-1,6778,-1,-1,214100,-1,448637,797281,595343,-1,98582,-1,-1,-1,-1,-1,-1,473509,-1,-1,-1,304055,431347,-1,-1,851663,970440,-1,495193,419323,285482,-1,979759,732266,354686,-1,-1,278065,623997,-1,891492,371152,212729,711667,-1,-1,-1,685896,964398,-1,-1,-1,265315,-1,-1,201007,639775,746501,-1,-1,609157,-1,-1,673566,963250,-1,274509,-1,-1,-1,-1,-1,631061,-1,-1,297780,558410,-1,891115,-1,284662,-1,62886,-1,126343,445193,-1,-1,199901,71167,234985,662786,562726,136724,-1,-1,-1,-1,943897,-1,-1,-1,143055,-1,-1,431747,-1,-1,-1,-1,-1,633948,-1,590763,-1,459588,-1,-1,808250,721300,863342,522640,-1,-1,-1,664338,354965,249350,522946,991713,-1,-1,-1,276776,156699,-1,-1,-1,65236,-1,460120,323758,-1,-1,-1,-1,-1,698878,-1,-1,-1,-1,782849,853879,824831,41620,469375,825208,273296,860932,-1,291080,330784,544931,233049,-1,521414,-1,718835,535091,-1,-1,900829,49369,-1,-1,-1,128307,-1,-1,31856,848923,553056,-1,-1,332896,-1,106660,223839,-1,-1,325890,-1,501687,-1,-1,932753,831635,190342,-1,6389,-1,393339,-1,-1,-1,-1,-1,-1,233016,-1,-1,779571,129501,-1,144928,921183,545797,583071,-1,-1,972334,-1,-1,76157,-1,-1,-1,-1,-1,699,-1,396685,-1,-1,264979,804538,-1,-1,-1,-1,-1,552078,-1,781993,113000,159581,990465,-1,773107,-1,-1,70945,589876,-1,-1,791896,-1,-1,668160,-1,-1,625808,-1,929194,238086,969071,-1,-1,87466,573031,221982,-1,122626,26137,-1,-1,-1,241849,-1,-1,272068,-1,266653,577149,551750,-1,132274,721572,-1,-1,-1,-1,333640,611478,-1,-1,-1,-1,693433,-1,361271,-1,-1,863817,572150,-1,68195,906396,-1,-1,802482,90632,181655,-1,-1,-1,-1,-1,624682,-1,-1,510785,628771,-1,-1,786961,262562,-1,-1,616913,373566,263812,-1,605387,488282,-1,392950,-1,233113,235136,987924,575656,-1,-1,-1,-1,-1,-1,234374,927798,598346,-1,617908,-1,-1,913663,-1,-1,-1,2763,-1,938664,17094,430358,100385,709924,989667,744278,447092,778683,-1,767600,241205,372942,266046,-1,-1,-1,853259,204825,-1,-1,904187,-1,843997,-1,-1,379986,353526,857092,211038,-1,69328,-1,323127,-1,857402,-1,-1,447204,574742,513680,-1,870766,-1,-1,631174,810571,-1,109059,267034,-1,-1,-1,355488,-1,168376,581613,747439,-1,-1,779684,297851,-1,165429,-1,-1,991288,318273,288788,95210,55026,26041,839578,153093,68620,936589,593791,-1,-1,-1,-1,869416,-1,340411,-1,-1,-1,563954,469150,-1,893940,600649,492763,693383,-1,508819,260510,-1,938060,-1,918428,-1,832348,-1,348126,554665,-1,-1,971800,-1,850968,-1,124894,291586,-1,680694,-1,-1,-1,-1,317518,-1,647190,-1,873737,464992,-1,906986,-1,-1,70473,-1,-1,-1,749576,622433,932147,556809,573319,-1,525030,887710,493757,-1,-1,627236,327589,270066,-1,-1,-1,275874,-1,783282,662109,356736,39082,157003,323598,152095,5285,-1,-1,-1,509999,212821,-1,-1,-1,-1,114009,-1,-1,-1,-1,-1,64719,-1,-1,451435,239286,382566,-1,266919,344851,-1,112004,-1,-1,-1,-1,561190,-1,-1,-1,623767,-1,129754,266819,406513,24127,-1,-1,-1,-1,-1,-1,428106,-1,-1,-1,-1,-1,205231,623521,663264,488403,726852,-1,729795,-1,414656,191007,563293,190547,-1,36163,476561,841265,-1,814418,-1,-1,-1,-1,499737,-1,438270,195594,730128,-1,-1,-1,575192,608751,61443,-1,-1,199531,315116,-1,-1,-1,-1,149412,843245,-1,522268,-1,-1,-1,620542,61737,-1,982499,-1,-1,-1,-1,-1,704106,-1,-1,-1,-1,-1,950964,-1,-1,804869,452527,287121,-1,47544,-1,-1,16030,127559,-1,-1,-1,447519,292775,-1,-1,-1,734732,902378,-1,664157,-1,-1,-1,-1,-1,272844,-1,315104,651977,-1,225,39478,952080,314341,185112,344796,383549,-1,-1,-1,-1,108320,21656,981309,316791,893726,-1,858767,517026,-1,-1,483133,971176,607684,720471,-1,155284,948857,-1,-1,532839,-1,-1,-1,-1,13885,248168,792945,-1,-1,253050,24436,112996,224124,635665,-1,332113,681018,68358,-1,141814,722548,124609,78533,943743,148453,984215,-1,122287,-1,563940,-1,-1,-1,-1,651033,557794,219748,-1,-1,-1,-1,790906,-1,966957,-1,37932,-1,-1,-1,73821,437195,345066,74284,-1,-1,270949,-1,-1,-1,7466,656367,975840,396026,124780,223696,-1,-1,741203,-1,-1,942950,179999,-1,163020,-1,404255,169894,-1,326632,-1,-1,631602,359141,435956,-1,486830,153456,936477,55995,-1,-1,-1,259628,-1,840399,678876,-1,126330,222257,-1,-1,802044,-1,-1,21462,466352,608244,-1,-1,-1,537865,-1,170043,-1,230201,737997,611834,-1,911870,-1,134258,407521,-1,514363,-1,-1,-1,-1,-1,-1,425945,-1,-1,107860,-1,-1,-1,-1,-1,-1,-1,49113,-1,-1,-1,521240,634586,-1,-1,-1,-1,877448,601490,484585,380013,-1,222946,-1,-1,-1,-1,-1,662364,-1,-1,363934,718555,854089,-1,725699,266364,-1,-1,-1,896485,-1,-1,885504,-1,-1,-1,-1,504897,26288,-1,-1,-1,70561,235238,-1,316538,215603,78258,544023,995683,-1,-1,-1,-1,-1,360370,-1,-1,55419,806980,258544,-1,655852,-1,253230,-1,-1,-1,360938,679023,-1,-1,-1,798185,127206,156648,766472,811615,-1,-1,-1,-1,-1,-1,-1,447405,282378,-1,-1,787881,-1,-1,-1,-1,928847,-1,510830,-1,289467,-1,207562,-1,-1,672889,-1,68481,-1,-1,67359,-1,632071,-1,-1,361176,540259,-1,-1,356774,401395,480816,-1,-1,-1,553777,-1,743323,-1,-1,439951,499675,-1,742711,-1,-1,-1,-1,681015,876811,-1,596592,-1,272320,27530,278158,472664,-1,756069,-1,160357,-1,-1,277762,668262,951514,-1,749339,-1,-1,844282,-1,-1,-1,181218,-1,-1,-1,483202,885296,-1,128833,632147,657622,-1,59829,725519,724225,300042,187368,-1,311356,691582,190225,441467,-1,146286,351694,821157,221142,24539,-1,-1,-1,464542,-1,161931,140967,-1,-1,532235,-1,211378,868784,66219,-1,-1,475612,-1,255092,656670,130153,-1,633228,-1,373042,-1,-1,-1,-1,206073,496005,549633,724561,641046,810952,632731,-1,712107,334485,-1,-1,-1,240545,-1,46967,-1,596475,-1,214991,-1,-1,596452,-1,-1,-1,-1,-1,-1,-1,-1,-1,766052,-1,4416,904414,620179,794266,-1,-1,-1,-1,-1,-1,979094,-1,-1,78141,-1,960175,948867,-1,-1,437222,929669,468023,-1,664678,714284,322587,845883,255036,375647,-1,-1,781782,-1,-1,-1,20393,626003,659478,108610,895946,130736,-1,930825,-1,-1,-1,726039,564792,192719,-1,797874,-1,-1,-1,970269,747116,-1,366919,884136,748703,-1,-1,709830,-1,-1,195812,-1,450062,270716,762642,242786,-1,784650,127997,-1,-1,-1,-1,-1,882507,-1,-1,-1,412188,-1,770651,527261,-1,-1,765378,-1,-1,-1,204787,245955,36159,484223,-1,-1,-1,-1,544923,802335,619704,-1,617518,-1,972594,-1,-1,-1,-1,-1,224734,652532,77168,-1,7895,565826,-1,229679,374267,-1,764157,-1,62726,79313,-1,776476,254645,-1,-1,875831,59875,-1,-1,493650,-1,-1,-1,526243,-1,-1,296812,-1,-1,531588,-1,-1,-1,128481,937544,789001,428056,-1,710584,-1,-1,-1,-1,704371,-1,-1,-1,-1,-1,-1,675447,-1,474200,-1,262046,794789,69129,-1,-1,-1,-1,280752,467032,727179,659311,-1,714105,-1,-1,497428,-1,344428,629133,259115,-1,767323,60517,901931,-1,620433,-1,969423,637766,-1,-1,97296,-1,-1,609238,252029,955098,-1,-1,788444,703869,-1,-1,635035,-1,117699,101295,189512,-1,356522,-1,-1,-1,738719,881964,-1,-1,143822,-1,-1,164305,278724,435307,-1,411927,797372,945232,149122,-1,897126,-1,-1,340219,997008,702909,120845,-1,776792,942588,944725,157527,-1,-1,130999,-1,798466,658171,-1,-1,781986,-1,748695,-1,-1,414433,252237,-1,872153,-1,-1,-1,-1,-1,311604,409796,799861,-1,775140,-1,-1,69793,-1,364123,178545,184765,537252,719585,883728,-1,528951,-1,545940,-1,-1,-1,971567,-1,-1,-1,-1,991063,295059,-1,373690,-1,-1,-1,-1,-1,818485,146896,567635,430028,-1,693231,924952,755677,-1,-1,922659,955111,-1,-1,430729,-1,-1,-1,70800,-1,605095,429632,865275,601012,-1,-1,500490,499745,874410,444361,788298,-1,952003,348981,-1,-1,-1,-1,-1,109366,-1,-1,229237,-1,153118,-1,376083,-1,-1,128478,648885,281989,943663,-1,984029,937672,336140,318949,-1,-1,492850,-1,-1,755754,696548,694912,-1,-1,-1,-1,-1,64306,-1,-1,998040,365481,921959,752605,201766,-1,502535,441310,-1,271983,780492,511710,-1,-1,-1,86799,940076,-1,778382,-1,-1,32284,615125,-1,190103,-1,-1,132074,389958,94476,-1,963772,613000,-1,993589,651898,-1,-1,832742,600267,56217,260411,-1,-1,588116,-1,5652,99339,-1,563892,485840,-1,-1,994226,-1,-1,28561,-1,154313,-1,758700,549417,53190,3669,-1,249539,-1,916946,324563,-1,110887,837795,459421,-1,-1,-1,87460,212809,132809,-1,624335,597067,449401,-1,849382,-1,147794,-1,931944,-1,669345,223647,646862,-1,-1,-1,656853,-1,-1,225517,842632,-1,90916,836375,-1,133597,-1,-1,-1,-1,442770,791722,356481,95008,-1,-1,318232,982933,-1,-1,677797,48621,683244,-1,706259,409682,-1,-1,432711,-1,846652,-1,-1,434435,-1,658082,-1,-1,-1,-1,539679,348152,-1,544138,418051,76545,-1,459931,649813,-1,138688,-1,-1,307061,-1,-1,550267,-1,931255,-1,613754,-1,588961,-1,-1,-1,666547,-1,-1,80074,-1,521486,-1,-1,-1,448081,-1,-1,858569,860229,-1,-1,-1,680168,504837,9037,888399,761984,877003,904465,103340,966881,-1,889583,-1,152533,-1,-1,222012,-1,272646,-1,-1,329935,851340,108905,901420,-1,-1,568059,-1,259562,-1,-1,122247,-1,-1,645389,-1,392272,-1,-1,-1,-1,-1,776569,-1,-1,-1,-1,-1,205579,-1,596437,-1,-1,-1,-1,112825,-1,234537,-1,229558,-1,211110,-1,-1,489344,-1,-1,-1,81365,-1,-1,-1,-1,-1,-1,977909,904031,730250,988293,-1,219384,-1,-1,994283,-1,502584,-1,292770,-1,762372,379775,-1,-1,569146,14685,-1,626191,952277,-1,15264,116605,-1,535679,573824,-1,628996,-1,316807,-1,540181,-1,-1,-1,697535,-1,-1,297352,185459,739609,-1,-1,584318,694033,-1,96664,-1,-1,-1,-1,992125,952298,38459,-1,603528,-1,121016,482975,525173,270962,-1,167353,-1,-1,794466,547824,-1,359989,101972,-1,-1,-1,725531,820181,-1,-1,-1,-1,-1,-1,-1,553015,-1,-1,605265,302053,9497,805239,-1,-1,306347,-1,178019,459376,712818,236183,-1,-1,962199,935235,877383,15711,907314,382256,778754,675930,-1,-1,674386,343271,-1,-1,-1,-1,-1,-1,-1,-1,-1,329644,912229,-1,116705,-1,-1,224738,-1,345163,344679,-1,-1,-1,314472,104606,-1,860997,-1,482125,-1,-1,594023,388298,-1,-1,-1,836582,587762,-1,379250,-1,851651,658942,-1,215196,-1,160512,1455,-1,-1,262934,-1,367108,124955,-1,520784,-1,292574,-1,831491,-1,-1,-1,760860,518321,147616,438220,-1,906797,-1,-1,282093,-1,80219,-1,874490,960994,-1,-1,-1,-1,708557,-1,-1,478011,-1,454733,132595,100278,-1,329302,720582,79401,-1,376276,307858,-1,986291,731072,-1,-1,639704,-1,414967,-1,600765,-1,-1,-1,511622,-1,-1,747146,708262,-1,428087,343378,572230,-1,738047,-1,239861,-1,-1,-1,-1,52409,502912,599380,-1,-1,-1,-1,102842,108022,612971,933176,-1,323106,658792,-1,-1,108699,-1,-1,921986,210743,433615,-1,-1,899156,-1,-1,876447,453491,-1,597246,552833,565661,-1,423659,32746,-1,-1,-1,963390,334282,-1,585770,-1,644064,403412,-1,646815,-1,826326,761731,69634,843514,709004,708160,354499,-1,-1,-1,502818,234098,727989,-1,-1,519520,-1,-1,-1,532634,-1,-1,962163,-1,577058,525550,-1,377553,135516,-1,195972,570350,-1,-1,-1,193926,654691,809206,-1,182726,-1,-1,878422,-1,467471,638664,699992,8119,146227,401310,952629,957367,648089,-1,357108,769645,811377,-1,690918,-1,828785,-1,-1,757030,140166,860214,-1,541415,-1,893514,-1,-1,-1,967536,372897,-1,870896,372563,225961,-1,-1,-1,-1,-1,-1,35098,-1,46339,-1,542763,441588,186441,-1,196845,-1,-1,-1,367217,-1,-1,819096,-1,-1,963915,419639,-1,816839,-1,272558,552700,-1,573549,31031,787610,-1,-1,-1,66996,-1,686050,-1,621659,781678,836516,211785,714047,-1,821614,-1,714460,-1,-1,-1,189094,562126,-1,-1,671842,223477,382860,140554,34539,-1,-1,-1,866524,-1,-1,-1,253632,620078,-1,590375,-1,472383,-1,-1,-1,182386,-1,-1,-1,579185,985986,111825,530481,576558,750811,31496,801571,-1,-1,508501,503353,598633,-1,207210,-1,11733,795436,-1,-1,603720,-1,-1,-1,896950,341441,-1,-1,-1,838708,-1,66305,497061,-1,630525,-1,509293,-1,-1,246409,474717,662034,942897,-1,-1,646925,-1,51003,105050,621665,-1,555557,497457,386112,428977,-1,617489,804778,-1,-1,-1,-1,-1,-1,-1,-1,151056,817340,419118,605890,944154,541821,53068,-1,376365,428505,-1,637993,215491,220977,876536,-1,-1,615940,-1,-1,-1,-1,347046,-1,832247,-1,788968,690968,204903,-1,-1,558643,437863,43888,221043,720948,-1,365970,-1,-1,-1,426091,615883,-1,375058,55553,-1,892097,-1,580369,52483,434191,-1,679310,645260,577224,627859,866555,-1,-1,-1,-1,416388,-1,689729,-1,-1,-1,-1,-1,696400,22969,184173,-1,251258,591676,724666,-1,-1,620043,-1,-1,891680,635479,59395,-1,578338,398858,-1,-1,-1,912180,-1,-1,-1,847895,354498,853674,752608,125262,401534,-1,-1,-1,93949,708768,183093,-1,-1,12939,742712,981146,549159,-1,329658,265000,-1,339634,656873,585327,594851,-1,-1,505569,-1,313169,881627,-1,-1,-1,-1,-1,134609,-1,-1,-1,983856,-1,-1,-1,190034,820493,-1,-1,-1,-1,245267,-1,266912,21858,-1,-1,-1,192444,557986,-1,-1,-1,-1,-1,-1,673986,106723,-1,773252,-1,949366,333587,-1,-1,751022,956320,234273,-1,-1,930599,312436,-1,34088,-1,851255,541826,-1,-1,256546,-1,-1,-1,-1,-1,901356,668741,341854,305835,182693,-1,-1,-1,437844,-1,-1,-1,-1,-1,-1,916484,-1,675810,-1,697708,-1,60313,-1,234951,-1,-1,-1,-1,-1,769741,-1,191168,554064,-1,987031,-1,-1,225786,-1,945831,922270,679005,424912,734038,324923,822099,-1,-1,-1,521649,208986,-1,-1,391435,992671,985985,-1,223771,514421,70524,-1,-1,-1,-1,352318,285555,410616,-1,-1,598973,-1,-1,-1,285070,-1,67458,-1,-1,-1,813286,797986,466539,-1,676783,698671,-1,-1,290861,-1,-1,-1,668692,-1,314805,-1,-1,-1,62867,-1,254134,828485,-1,-1,391299,-1,171248,-1,-1,-1,-1,-1,796368,-1,-1,-1,-1,72209,-1,-1,237687,420659,850262,-1,383637,-1,568123,-1,817598,-1,465946,443048,-1,224636,751838,985643,-1,-1,537984,25976,-1,719967,97270,213339,157065,875100,682881,782586,778383,-1,562864,552453,413133,567379,150644,-1,-1,-1,795852,468061,127491,76120,-1,-1,-1,-1,-1,947988,-1,-1,-1,414975,798271,-1,-1,-1,683167,-1,676614,-1,638537,385250,321643,-1,432468,755687,640526,-1,456909,961294,-1,-1,-1,-1,546847,-1,-1,-1,612174,-1,194678,968293,729211,-1,-1,910500,444009,-1,-1,482860,704361,-1,724254,-1,122832,-1,79430,885859,314345,-1,-1,-1,-1,46148,134180,293021,598549,-1,347403,-1,62381,222347,-1,-1,-1,755033,-1,-1,-1,38930,128824,-1,-1,669608,-1,-1,539529,-1,-1,-1,445950,118534,-1,-1,-1,-1,585879,10141,-1,-1,-1,100924,703885,617749,-1,-1,-1,-1,680200,-1,-1,812778,-1,-1,419302,908882,-1,-1,439828,-1,-1,-1,323508,-1,308970,887462,-1,765221,-1,-1,-1,469281,688732,159198,307258,-1,142268,318021,-1,173400,713560,435100,-1,903587,16062,52777,554713,-1,425972,-1,286818,80592,-1,-1,-1,-1,-1,-1,521657,816673,-1,678031,259313,-1,620998,-1,650588,868696,-1,195927,-1,-1,-1,632342,-1,-1,-1,573228,-1,-1,-1,385904,315098,641023,-1,854594,-1,176907,908404,906340,-1,873377,487777,-1,-1,422075,-1,-1,878674,-1,232514,670373,100152,-1,-1,-1,-1,-1,-1,-1,637055,608998,-1,32640,299860,324289,964973,314515,-1,-1,-1,893761,804343,869239,909254,910096,-1,542803,-1,846206,775750,-1,751134,-1,-1,-1,524451,-1,-1,166921,268987,277171,387463,-1,324206,317422,-1,14130,-1,991945,-1,388814,-1,-1,-1,693096,-1,46239,-1,-1,-1,-1,-1,-1,398049,-1,217638,938774,-1,365075,313699,444843,833927,485271,787118,7387,305061,-1,-1,831832,-1,597951,-1,-1,-1,-1,691925,535218,573663,364326,-1,805131,668937,660453,807078,-1,464201,-1,963196,595181,810486,-1,327958,240855,-1,994954,-1,-1,234221,-1,507621,-1,-1,-1,-1,-1,125111,807230,-1,-1,-1,-1,-1,851487,419080,834020,335510,-1,582203,161229,722191,148627,497686,577907,-1,-1,-1,271216,-1,998759,-1,600863,383666,-1,648916,475117,131360,666662,774569,-1,-1,913377,12427,538325,-1,188815,874222,589347,979490,31353,191525,974855,674787,-1,926762,165096,499154,426132,-1,274990,430408,-1,-1,637264,-1,-1,-1,-1,-1,665769,595251,-1,-1,-1,612384,406071,952146,447062,220051,764211,778875,-1,-1,-1,-1,333510,619626,-1,763931,-1,211855,-1,-1,299191,682563,595232,855697,-1,952610,-1,947931,662090,96813,-1,-1,-1,180737,-1,-1,177692,854664,-1,-1,-1,66838,982951,270775,937744,749324,349533,448754,967178,-1,-1,-1,-1,555934,179582,-1,-1,215513,-1,-1,-1,8100,-1,810142,73528,694511,-1,-1,460387,499572,-1,-1,56605,-1,230272,-1,533582,980499,891199,178832,-1,-1,869945,506929,-1,-1,715126,252692,-1,-1,463462,770301,216930,-1,540155,-1,51479,-1,-1,-1,617210,524223,-1,271334,-1,121776,666925,-1,-1,-1,-1,-1,-1,-1,-1,22320,16329,938693,-1,255111,-1,989425,-1,449354,114220,877634,404387,609150,-1,-1,-1,239432,257162,-1,408097,856965,721567,185434,13707,-1,-1,-1,982455,-1,-1,-1,-1,974861,140290,647345,97714,904165,461011,-1,-1,-1,28271,925758,-1,-1,835411,-1,-1,-1,-1,-1,-1,-1,-1,-1,551430,-1,-1,-1,-1,-1,-1,-1,395501,-1,598039,-1,539182,-1,856669,307140,-1,-1,809645,590668,552412,-1,828894,546184,-1,719070,900868,-1,88041,152689,748112,-1,-1,850755,-1,-1,-1,161077,929561,-1,330529,-1,-1,37002,551950,702557,208873,-1,-1,-1,-1,-1,-1,-1,597930,-1,-1,-1,404638,-1,-1,-1,957448,407767,-1,897942,689938,-1,-1,-1,-1,-1,-1,535397,569646,-1,-1,-1,519949,763633,-1,-1,-1,771835,-1,-1,-1,-1,-1,-1,-1,-1,-1,385217,-1,-1,-1,-1,-1,-1,-1,412444,829358,703250,907098,-1,575324,-1,598976,587115,-1,879930,871177,390558,673666,337541,-1,-1,-1,179850,560777,691181,-1,-1,104548,707180,-1,475131,-1,196503,-1,281958,-1,416320,-1,954517,743690,383052,-1,716748,-1,310586,331804,-1,-1,-1,958902,334527,333558,867161,610819,-1,624135,-1,168676,723670,-1,-1,-1,124409,833488,563194,-1,903570,-1,193307,-1,-1,-1,-1,-1,910325,204189,-1,741080,8026,836640,138894,361907,663521,-1,-1,-1,748661,-1,-1,-1,880970,-1,-1,658348,-1,77805,-1,787930,264163,-1,463631,453734,406447,779033,853194,544801,898654,-1,437462,-1,-1,-1,-1,-1,436037,-1,-1,-1,377134,124120,-1,-1,835464,671323,-1,-1,482513,-1,746221,-1,-1,-1,-1,-1,627049,-1,815502,594138,-1,-1,-1,-1,-1,-1,312349,-1,815815,-1,840690,-1,428037,-1,-1,-1,-1,992975,-1,611828,-1,279761,-1,-1,151741,174709,-1,157960,281929,364137,951693,993235,102229,-1,680825,-1,-1,673014,965998,914131,-1,235987,839899,-1,843881,-1,-1,417353,-1,-1,-1,-1,91068,-1,-1,843357,589035,568355,691936,-1,-1,-1,831159,-1,-1,-1,-1,263273,392516,80887,-1,441182,-1,375883,918608,-1,519723,-1,373026,842170,197632,-1,-1,-1,-1,-1,653485,-1,-1,-1,401373,425670,607469,231620,-1,640420,245257,264006,-1,-1,366835,911263,65405,29696,49230,-1,-1,997323,907208,984928,-1,487887,-1,-1,362581,-1,653303,-1,-1,-1,943310,-1,-1,-1,120006,935345,497646,789270,-1,-1,249485,448899,-1,275960,90042,-1,-1,-1,-1,491012,-1,499965,676838,-1,520440,-1,-1,-1,-1,-1,-1,268858,489699,482765,-1,970421,901901,-1,-1,630064,554354,474024,891975,-1,999575,-1,893392,120560,-1,-1,-1,-1,-1,325969,-1,-1,-1,-1,626539,942623,-1,238386,275693,66898,-1,-1,31685,-1,-1,-1,-1,171875,715546,-1,589020,281864,-1,-1,-1,933379,-1,-1,83464,807728,-1,-1,-1,-1,-1,347321,-1,541220,-1,539773,170469,-1,-1,-1,259481,-1,825252,-1,17023,347674,-1,790629,-1,-1,38283,879974,260524,-1,810581,260375,372476,854057,-1,-1,-1,-1,-1,-1,337078,-1,-1,528525,889717,795236,-1,-1,632823,381284,985184,-1,-1,-1,177229,894507,424795,-1,-1,612109,-1,606628,-1,978636,-1,-1,-1,667327,-1,872114,-1,-1,-1,720387,-1,-1,-1,-1,190759,652810,468698,-1,195351,-1,980036,-1,-1,889612,724968,-1,727851,928222,-1,295924,428017,839576,907513,-1,-1,-1,35354,-1,-1,-1,501312,611894,-1,391970,413857,441034,-1,-1,-1,-1,-1,24889,-1,-1,-1,-1,-1,688764,-1,-1,-1,844421,-1,186567,443160,-1,-1,-1,-1,-1,-1,31372,743775,95001,-1,910986,-1,-1,969022,-1,591664,-1,-1,253880,769032,-1,-1,706935,15065,563441,984871,513,530036,102708,-1,392495,-1,-1,-1,463652,-1,836559,-1,-1,430549,-1,438905,369398,404121,436848,-1,218582,646240,645036,851833,534829,-1,391054,-1,785375,262975,84712,-1,579389,47653,283788,418949,650493,686795,-1,-1,-1,-1,581225,333530,239585,24846,592172,-1,98168,636742,-1,520130,664519,268703,622393,-1,-1,231216,-1,-1,-1,-1,-1,-1,-1,245183,-1,-1,729440,-1,-1,-1,60083,-1,117396,371678,-1,385080,-1,-1,-1,906518,-1,211050,-1,-1,-1,480227,-1,-1,659223,517559,-1,-1,-1,-1,-1,312444,327149,-1,-1,-1,527482,-1,-1,-1,432909,-1,-1,105892,-1,813959,299802,516978,-1,-1,782021,837779,87448,-1,-1,-1,-1,675574,613238,-1,103070,75988,-1,-1,664151,571212,955538,-1,-1,997695,-1,872612,-1,882321,-1,-1,-1,-1,816383,-1,275269,14946,189826,155861,-1,-1,-1,-1,194492,96627,160669,933922,-1,284582,186842,981515,858338,831330,-1,231707,-1,177503,303618,621238,-1,810667,-1,-1,-1,-1,-1,510287,-1,408593,948305,-1,-1,331529,-1,-1,-1,176934,-1,-1,-1,993836,28657,332667,-1,708312,649006,-1,347663,-1,872829,596740,452530,319531,94307,-1,739894,281001,-1,-1,-1,-1,85487,-1,42748,-1,-1,881026,993737,-1,-1,-1,-1,-1,279459,997047,141035,916920,261751,-1,-1,-1,264666,-1,-1,-1,-1,209391,742494,566512,-1,109874,-1,444347,378827,-1,-1,-1,821991,-1,-1,467458,-1,630411,-1,564259,230481,-1,-1,137644,-1,-1,353925,-1,455608,441483,638158,-1,-1,358712,-1,481582,531388,914216,-1,-1,-1,-1,-1,778147,172592,-1,211499,871792,-1,-1,320176,87075,938559,770872,-1,71255,356818,62394,-1,-1,-1,-1,273088,-1,-1,-1,-1,663251,706786,908380,-1,823913,88873,-1,-1,-1,-1,657974,-1,-1,-1,798350,355121,656046,-1,-1,-1,-1,-1,-1,-1,209160,712231,742573,545014,-1,211415,-1,-1,800291,470570,467623,-1,230230,5409,-1,-1,-1,150056,637002,-1,304120,-1,-1,-1,-1,-1,-1,747490,-1,-1,-1,771564,-1,-1,506242,-1,-1,979817,36505,-1,311387,-1,511686,487052,425617,-1,661351,653413,-1,491832,-1,-1,-1,734696,-1,-1,-1,412766,-1,521034,-1,305397,-1,-1,-1,419854,633127,-1,238395,-1,-1,885580,-1,149621,34703,292447,132314,573331,240526,724139,820614,-1,963596,-1,-1,-1,708618,905425,787125,-1,-1,755877,-1,-1,671969,-1,463405,-1,-1,58691,-1,-1,13853,-1,859336,330122,-1,295748,-1,-1,-1,279611,-1,946144,-1,-1,267312,-1,-1,-1,-1,-1,-1,777132,-1,-1,-1,758418,-1,419172,185542,-1,-1,-1,-1,804211,-1,-1,-1,36616,-1,528626,-1,582965,131031,649981,-1,584967,60234,-1,-1,484143,286393,-1,923055,62367,25350,-1,383183,-1,-1,-1,917708,-1,191320,533494,603931,632525,-1,772460,55619,667217,-1,-1,624801,-1,-1,892278,886722,-1,778131,754246,-1,186492,686314,-1,-1,897794,561384,351136,-1,374070,-1,215139,139629,-1,-1,256898,-1,-1,515054,916525,125680,-1,172286,-1,-1,-1,489084,-1,-1,-1,797413,608606,-1,-1,805843,-1,288815,801770,415063,777861,749520,630971,670895,672810,726063,874910,-1,-1,-1,-1,787318,288703,-1,343977,-1,976882,312050,673374,-1,-1,-1,-1,-1,-1,-1,361399,893424,-1,-1,680847,-1,-1,369584,80108,-1,-1,-1,-1,390701,-1,83480,206761,700674,994002,-1,663065,-1,-1,-1,177496,351888,-1,-1,-1,-1,-1,-1,684505,206969,998414,-1,912902,-1,-1,323448,-1,-1,-1,17446,328262,-1,17189,-1,-1,216748,672711,640422,127644,893657,-1,-1,-1,898989,-1,-1,-1,-1,326015,889696,857847,490535,-1,-1,657048,-1,-1,-1,135920,625352,313370,179423,876093,-1,-1,-1,-1,759482,-1,-1,-1,788468,-1,574473,724377,356822,467713,187377,262477,737433,267493,-1,910752,-1,-1,248836,-1,-1,470355,-1,-1,552583,49112,-1,865854,-1,777081,-1,413982,740274,-1,-1,915821,461604,857732,186006,-1,187940,-1,-1,979308,-1,-1,747099,-1,-1,-1,-1,-1,-1,-1,654962,924097,-1,-1,728764,587734,-1,316189,-1,-1,797067,602055,340204,901907,695623,61997,371191,368843,801322,-1,341953,-1,-1,787111,989042,275897,746599,417119,353885,357693,127216,950422,-1,787308,20751,77780,840567,-1,836178,840745,992699,369693,759376,-1,316427,9048,119260,-1,-1,66283,-1,570486,680698,-1,-1,455403,-1,640068,244950,-1,549663,-1,-1,885851,459059,725253,817448,254174,-1,-1,-1,-1,-1,823560,349333,317580,997274,89735,-1,483951,-1,-1,835966,379988,771542,-1,-1,-1,-1,179173,-1,666581,-1,-1,834536,981111,-1,-1,-1,794193,-1,-1,257273,-1,846525,445264,-1,-1,-1,64754,992164,394009,182106,545297,-1,252933,-1,-1,-1,-1,-1,921547,580671,-1,-1,-1,746286,-1,-1,-1,464325,-1,-1,967436,969633,-1,-1,-1,413120,635362,-1,-1,-1,-1,805347,-1,-1,515856,-1,-1,-1,28006,356291,693916,545072,641264,32650,-1,-1,335190,739178,545373,-1,299467,211687,-1,-1,-1,-1,-1,-1,-1,-1,17181,-1,291801,21034,-1,-1,-1,-1,56637,56358,519497,-1,296059,42284,343583,614125,-1,-1,-1,-1,717343,88395,962159,-1,806723,239074,451572,731306,-1,958944,503200,784973,-1,-1,592269,774855,-1,961297,-1,838854,-1,-1,160892,966477,-1,594331,366330,-1,676385,765884,813206,109141,87093,-1,624633,-1,-1,527404,226715,-1,-1,812848,141873,-1,337393,250827,-1,-1,458738,-1,96823,-1,-1,673673,166202,843373,78921,-1,886752,-1,390749,-1,643928,-1,-1,123635,955617,-1,575363,335682,-1,289894,-1,811022,944781,-1,967799,728038,383384,114770,106970,556674,190393,37181,933850,586859,257812,463945,167309,461636,-1,-1,-1,-1,-1,481570,497750,-1,-1,-1,174717,568593,-1,-1,228286,923968,-1,594577,943904,-1,565128,823582,-1,670843,410738,-1,513293,-1,893746,415071,-1,422480,855933,42081,216392,831339,500892,47538,-1,846130,-1,-1,664292,-1,158990,357189,59680,-1,-1,-1,211099,710792,-1,-1,931977,916799,473224,-1,363460,-1,-1,988576,-1,-1,-1,723679,-1,590744,667870,-1,21240,-1,620594,-1,-1,-1,887162,-1,-1,-1,-1,449029,-1,-1,-1,691927,-1,-1,-1,802310,-1,377638,943724,-1,-1,-1,-1,390475,-1,-1,-1,691659,-1,251957,7999,-1,-1,-1,468682,289325,-1,-1,-1,-1,-1,-1,-1,764401,893710,185450,-1,122577,-1,34290,-1,-1,-1,929713,165340,609561,-1,395391,216142,779614,92675,-1,560184,517996,327319,50715,390663,391746,397327,-1,758664,-1,703277,771282,467532,-1,-1,-1,-1,991754,824639,818133,-1,854362,-1,227389,380997,-1,-1,-1,-1,-1,-1,72773,357714,-1,55749,-1,232647,481246,-1,498980,771611,-1,-1,908336,689859,-1,-1,26754,142430,-1,217307,322453,-1,834627,447189,-1,316009,-1,-1,-1,705899,-1,-1,-1,-1,584554,-1,730630,-1,-1,140763,-1,-1,898411,-1,530005,32674,869813,-1,-1,370959,-1,-1,87986,-1,-1,202686,-1,-1,-1,561171,788075,-1,-1,513900,118668,649707,106467,702607,613584,-1,414864,-1,723012,935173,-1,-1,383999,911835,332378,-1,-1,556808,-1,-1,-1,-1,689131,175773,119289,-1,359029,-1,-1,155666,-1,229474,789338,408201,387202,-1,-1,769711,566275,-1,846023,87805,-1,-1,840292,-1,-1,-1,751918,-1,-1,153392,-1,-1,750413,569042,-1,-1,43641,-1,264986,-1,-1,-1,-1,-1,463397,920542,-1,-1,63116,901887,-1,889460,525184,847131,313306,-1,-1,173225,-1,846720,782239,799217,897295,-1,-1,346400,-1,-1,-1,213333,567890,819136,-1,-1,484250,803968,-1,-1,747346,-1,93754,-1,-1,-1,-1,-1,-1,-1,92474,300146,440569,526895,-1,-1,187695,-1,958016,191766,375687,334160,677674,13529,319068,336742,-1,-1,-1,787280,66969,-1,-1,591795,747063,720660,-1,884147,-1,961773,913096,-1,319972,3792,927995,324363,623274,130325,-1,-1,-1,-1,-1,823838,869387,462395,-1,-1,-1,-1,-1,-1,576360,718898,617842,-1,-1,235644,877887,-1,560945,-1,494021,120458,-1,-1,910196,148862,-1,236801,549045,617494,927265,16555,-1,-1,88570,-1,-1,-1,-1,557027,356704,152394,-1,1741,-1,-1,143396,-1,201560,-1,591967,-1,-1,-1,449370,-1,-1,699437,-1,-1,-1,-1,-1,-1,-1,40161,95620,935196,527808,812610,-1,-1,-1,286464,337379,-1,113817,-1,348074,-1,-1,842245,655343,-1,-1,-1,436444,-1,-1,996018,460225,338958,-1,-1,755793,75568,-1,-1,171667,451860,-1,780747,-1,-1,388679,617617,662088,75058,211246,-1,516279,565173,4697,-1,892464,282377,820800,-1,443331,-1,535851,231566,858989,47483,-1,125676,138448,271291,-1,-1,-1,-1,-1,-1,33174,735793,15692,690406,271677,-1,-1,-1,383428,-1,-1,-1,977588,-1,992051,-1,-1,469240,190326,734875,-1,362803,-1,-1,-1,-1,-1,37122,667418,361043,35464,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1965,973875,739800,980504,-1,-1,85637,-1,-1,668203,452768,-1,-1,640723,-1,-1,-1,-1,796104,-1,-1,-1,-1,-1,842585,-1,-1,500944,994933,712742,-1,-1,-1,74293,-1,622765,374019,-1,-1,970838,541805,406311,-1,-1,-1,197631,-1,-1,-1,-1,522191,-1,-1,272726,-1,-1,740743,-1,-1,170656,-1,269905,684573,668572,-1,-1,944437,-1,879430,-1,-1,-1,14263,648669,722561,429992,-1,-1,-1,693571,87788,765514,232519,-1,431392,222676,792049,504756,261494,182914,712159,344804,-1,-1,-1,-1,-1,-1,583390,321986,-1,553707,354302,-1,193638,83175,216763,279573,-1,384828,-1,461367,87948,-1,-1,987070,566922,-1,-1,562714,-1,618586,-1,-1,-1,668459,-1,310274,-1,-1,-1,867804,270773,-1,-1,555273,346246,429133,-1,727035,197928,-1,338520,-1,807392,604783,618465,846482,-1,-1,581621,-1,-1,-1,197832,331690,-1,-1,902881,276847,900000,-1,-1,-1,-1,-1,-1,398058,604016,-1,522982,-1,-1,-1,767620,613702,356771,-1,-1,-1,-1,199304,-1,-1,-1,-1,-1,-1,327320,-1,-1,830675,723143,-1,731865,533315,809737,372917,-1,-1,331604,-1,-1,28235,-1,-1,-1,-1,-1,439871,732862,-1,84056,-1,-1,-1,-1,-1,-1,487425,-1,975502,462113,803774,581186,65364,-1,-1,836033,798543,-1,187380,-1,811645,-1,465318,-1,327792,836454,617459,-1,-1,-1,-1,829904,917299,927490,675085,414858,-1,266133,203113,-1,808412,-1,527246,-1,907867,4709,-1,651969,-1,-1,307481,644621,919118,801528,862510,592296,844370,-1,696670,-1,-1,104962,-1,349685,-1,169140,-1,-1,-1,925137,-1,267810,-1,639433,-1,605102,-1,765410,-1,-1,-1,335141,-1,677975,-1,324750,-1,922832,881528,-1,269015,-1,-1,899105,735282,-1,-1,84087,602604,380269,379420,-1,-1,-1,-1,982158,620355,-1,-1,679631,-1,978698,626485,-1,-1,-1,244534,-1,408706,-1,947742,-1,460287,379765,-1,146605,-1,924631,870839,-1,200969,-1,916193,-1,-1,-1,-1,-1,948265,561216,283871,-1,-1,-1,928366,497407,171134,870720,525680,-1,-1,-1,693539,848227,134181,-1,-1,-1,-1,-1,-1,632741,-1,167818,-1,-1,778299,-1,926374,178988,774610,-1,-1,-1,603554,831533,-1,-1,476152,-1,24495,550843,-1,-1,997244,-1,-1,-1,-1,251895,757634,123247,-1,-1,-1,-1,153274,663304,509484,118650,-1,-1,-1,-1,875254,-1,357676,972408,-1,865371,518027,23710,248047,-1,477419,768686,284433,-1,55585,525371,905363,187491,-1,-1,269157,924601,-1,-1,-1,496964,-1,-1,182507,-1,395185,-1,-1,768676,196630,551757,118557,-1,947115,515721,-1,519477,844846,470826,-1,-1,-1,-1,-1,-1,706676,-1,-1,491536,901032,-1,640988,441865,266867,-1,-1,296695,-1,389691,-1,-1,703933,-1,-1,-1,-1,654133,875337,315571,519527,494295,373232,38719,-1,645678,611637,-1,-1,-1,531595,-1,950249,537867,427854,230258,-1,487160,399578,763827,566797,-1,462727,-1,-1,673076,609321,-1,397380,718624,-1,-1,-1,134492,155202,-1,-1,806884,-1,-1,495994,222259,927249,-1,-1,366644,-1,-1,257722,-1,267997,-1,-1,567400,383492,624594,-1,-1,-1,-1,551507,639281,-1,-1,-1,613457,609616,-1,705818,-1,717040,282394,-1,-1,-1,-1,-1,911210,-1,-1,330274,-1,961982,-1,56697,-1,-1,-1,-1,-1,-1,432214,751190,-1,877550,333891,821768,370577,-1,-1,-1,-1,872591,545760,399689,536025,-1,-1,976464,-1,-1,-1,622328,-1,-1,-1,293292,708977,-1,-1,608755,-1,89477,586440,-1,-1,-1,-1,-1,764757,224274,-1,914184,-1,-1,-1,-1,-1,-1,79194,-1,961039,-1,-1,-1,746903,-1,370620,-1,-1,618392,-1,933744,621084,841247,-1,-1,43892,233021,566209,-1,-1,-1,214572,-1,-1,688725,256559,781247,-1,-1,-1,-1,-1,133929,546134,787225,463390,751568,-1,170503,9854,-1,929232,811973,898396,296707,800205,-1,96343,223032,252321,555292,-1,625341,260246,-1,-1,672997,333085,-1,212027,935069,485739,707960,-1,-1,247332,265878,-1,-1,76204,-1,-1,71810,273014,-1,302352,550489,-1,-1,-1,-1,-1,228562,964194,492746,-1,-1,523175,-1,-1,427675,421962,-1,587149,475779,-1,171311,-1,-1,32780,409298,393584,-1,-1,577345,191554,709969,-1,710517,-1,801852,-1,704099,16301,552210,-1,-1,-1,-1,-1,171964,940971,118115,136274,927457,465404,958718,-1,672664,-1,-1,717202,937504,717285,980497,412776,-1,393105,887482,778861,-1,-1,-1,95648,853524,-1,-1,-1,-1,995795,884662,321036,-1,-1,752515,-1,-1,-1,-1,190961,-1,-1,898342,29853,448883,-1,-1,-1,-1,92624,685235,-1,-1,589184,-1,-1,628795,789928,589073,-1,-1,-1,514154,134104,909090,-1,347233,-1,221170,178461,-1,880985,890577,656885,191234,-1,-1,871513,-1,-1,-1,933784,-1,-1,-1,-1,761303,590969,-1,-1,-1,-1,991228,-1,-1,311284,-1,-1,33818,-1,-1,-1,65659,102851,-1,821613,254002,154769,201377,-1,824539,481566,290804,713130,-1,292924,727106,-1,-1,-1,-1,-1,-1,802108,891224,-1,-1,-1,642107,-1,231352,733739,552418,704307,-1,910033,-1,-1,-1,-1,428290,-1,-1,-1,322038,695908,76851,832706,188600,-1,523481,-1,-1,695019,418977,826220,846756,-1,580697,-1,347859,594247,160831,67110,-1,848335,340240,194807,313371,-1,363289,438752,-1,-1,248388,192833,834838,-1,875470,160251,-1,133342,-1,997123,362402,553784,916628,-1,918297,325557,689087,534044,957048,985538,888101,-1,734820,854641,759351,958542,-1,-1,-1,-1,564074,-1,-1,158712,225085,-1,-1,579327,-1,-1,-1,184358,-1,396962,546992,777731,108423,445455,63942,-1,754729,-1,-1,-1,985468,-1,-1,-1,828443,-1,-1,187304,-1,-1,-1,-1,-1,17532,563294,787041,179568,310598,-1,432901,-1,109109,235756,296176,-1,-1,-1,-1,-1,-1,691360,728843,-1,-1,483169,-1,451147,390646,142753,626947,-1,-1,-1,-1,-1,-1,64912,-1,660777,-1,413024,-1,-1,-1,613909,124099,-1,162661,179048,-1,276295,-1,-1,874775,-1,-1,-1,-1,809788,594897,189590,-1,-1,-1,333074,442677,-1,342091,-1,299404,670209,163981,351462,711210,562498,-1,443365,463078,814848,-1,26606,210727,232631,-1,-1,877811,-1,481379,-1,-1,187515,265625,620510,-1,-1,-1,-1,64443,31576,877206,-1,506033,721819,-1,525034,-1,549158,-1,663726,-1,233238,978895,-1,-1,257935,-1,948992,860342,-1,345783,-1,-1,317709,981748,623363,-1,937219,992551,227850,-1,81927,413001,252129,-1,266456,356139,-1,262216,29030,260008,-1,887703,-1,-1,-1,-1,-1,982030,315810,683368,959021,846110,397797,-1,-1,-1,615580,-1,-1,3157,492023,944808,404446,-1,-1,639000,-1,604247,-1,11315,410259,179775,764400,-1,-1,893320,-1,-1,160696,803495,678289,227228,707894,246426,829939,26236,489052,980151,59077,-1,-1,524699,855258,-1,871982,-1,-1,813711,879843,490174,671049,471182,891511,675977,723158,157051,-1,173350,-1,614861,-1,489728,-1,336493,-1,283518,-1,-1,581948,634495,-1,-1,435711,694725,-1,584141,-1,-1,531498,-1,-1,-1,336662,731115,792972,498367,621597,336096,83665,-1,143763,-1,-1,-1,109756,-1,829515,61563,-1,288507,-1,225199,-1,318100,896882,-1,547500,-1,-1,-1,-1,445892,887380,872560,34629,-1,-1,-1,360020,327062,675529,-1,528468,86839,-1,746685,-1,126958,-1,57742,-1,590633,517353,-1,146923,-1,-1,-1,-1,241094,-1,-1,814653,-1,-1,-1,61236,449177,-1,-1,622053,890902,-1,-1,757528,-1,636028,-1,387399,284785,936391,268207,337426,245197,556465,532659,216108,495774,-1,-1,421709,-1,303002,368880,921221,236839,-1,830319,99257,699271,813425,-1,711666,581776,165812,-1,645387,176926,456182,-1,-1,-1,816624,-1,856824,-1,539708,-1,-1,589291,949555,648564,896545,-1,-1,-1,-1,-1,467979,107765,398693,-1,-1,936739,974155,-1,232824,883061,542706,485908,973345,969526,-1,-1,339909,-1,533360,111746,849318,584830,406245,676325,-1,-1,-1,-1,244580,-1,-1,751651,180266,-1,739645,-1,-1,141734,333814,-1,-1,-1,637495,-1,485353,-1,-1,-1,30690,-1,345744,946584,440923,374469,-1,947860,-1,-1,-1,-1,605120,-1,-1,-1,540671,576980,-1,-1,275120,601609,-1,-1,-1,-1,774828,605021,-1,-1,-1,990868,-1,-1,-1,955043,-1,516880,971431,535041,-1,20910,-1,-1,312220,658079,150811,939745,-1,868594,65372,903455,465073,-1,279552,885525,994687,361030,394132,433830,941168,692726,-1,615985,987126,379402,85908,365566,534494,100077,-1,464128,129521,400839,-1,30157,581650,-1,152638,-1,-1,641717,-1,3675,-1,116930,-1,465149,831668,-1,-1,410332,-1,542199,-1,889411,-1,-1,-1,772486,770213,-1,-1,263631,919466,80845,-1,333193,-1,-1,152872,-1,-1,-1,840531,812355,350908,791519,983997,-1,-1,475893,-1,-1,830903,-1,-1,633067,773564,-1,144986,289913,-1,-1,-1,377925,955249,-1,-1,-1,-1,-1,-1,-1,571721,-1,195872,30454,-1,-1,-1,368380,-1,373041,198398,-1,667856,306137,-1,-1,-1,21623,162851,529141,201889,-1,25764,438429,-1,599866,566172,915340,-1,216410,702284,-1,921695,344965,-1,-1,-1,824949,-1,762994,-1,-1,490040,-1,601405,-1,-1,41477,-1,-1,-1,-1,-1,777479,-1,-1,253465,511672,129956,507387,-1,55885,-1,-1,493453,728565,-1,-1,601586,-1,-1,-1,395833,360458,733631,-1,70646,174681,-1,-1,-1,-1,-1,-1,275238,-1,-1,-1,133386,-1,-1,-1,623198,-1,317447,-1,40678,-1,209692,530565,174196,-1,935382,-1,437406,-1,404282,-1,758828,460174,894831,-1,-1,-1,926487,-1,673714,732507,-1,331958,745988,-1,-1,58544,-1,864576,-1,-1,-1,60641,996584,-1,-1,208404,-1,426627,227645,637880,-1,799109,-1,842098,-1,-1,363096,480166,765601,54316,66496,621838,-1,-1,191690,166466,-1,-1,-1,-1,-1,378126,-1,27583,967286,-1,-1,570426,-1,-1,698346,-1,564414,803027,820528,816699,379251,898383,-1,102922,-1,-1,289287,-1,-1,815279,26365,463872,-1,-1,-1,-1,-1,314656,-1,732213,-1,335406,5133,482609,-1,-1,893123,593393,-1,-1,121353,-1,-1,871653,57247,679381,51417,28203,-1,-1,-1,-1,353894,552982,891046,246247,-1,-1,852990,-1,594696,585190,311708,323236,553779,781832,917653,597610,971880,-1,-1,-1,-1,-1,-1,113421,-1,-1,-1,4921,938348,122530,-1,267636,640609,-1,100995,572800,155903,950021,376811,490107,714917,110105,958464,973844,-1,-1,-1,606334,-1,-1,12177,884547,-1,-1,-1,717239,-1,-1,-1,-1,863329,664781,-1,629370,732886,-1,-1,462835,-1,138389,-1,785590,-1,160631,-1,810747,483359,660724,870642,-1,-1,559538,-1,-1,-1,467302,954141,267111,330781,174673,-1,-1,-1,-1,892066,-1,931572,-1,182220,937737,-1,-1,-1,31002,931842,536650,806189,586175,-1,-1,372331,813717,430704,410376,852870,-1,88436,-1,330890,-1,-1,-1,-1,-1,-1,-1,537727,485887,-1,-1,587308,-1,841236,-1,-1,-1,-1,492722,799418,-1,-1,-1,805112,-1,-1,-1,910303,-1,970655,656214,18993,-1,352893,784727,196079,-1,-1,142668,700051,859334,823616,967868,726867,-1,-1,-1,-1,-1,35957,-1,882733,712102,-1,-1,-1,962097,31093,-1,834989,873646,136773,404380,-1,108197,321654,-1,-1,461348,-1,220442,399029,446279,721323,876069,348106,700001,614459,636176,-1,339253,194200,864595,900445,182614,128641,-1,414594,-1,-1,310372,-1,-1,730210,734597,599737,554299,523133,278378,-1,-1,821965,4727,-1,-1,-1,-1,649916,315737,-1,-1,455346,392235,937091,271278,903604,18717,578949,675976,184010,-1,-1,187093,996816,-1,-1,-1,-1,690545,236081,-1,379064,122440,-1,-1,283304,-1,816674,-1,-1,-1,434024,-1,290652,-1,94572,312961,-1,827012,-1,9334,-1,382136,-1,607903,768346,-1,367858,940409,-1,-1,-1,85984,208159,-1,423749,818761,-1,-1,-1,974009,-1,156204,174616,-1,-1,-1,-1,-1,-1,623229,719940,-1,-1,79050,868889,29135,-1,-1,893127,-1,-1,524029,-1,993381,374708,907788,-1,916668,-1,557880,635811,-1,-1,-1,437716,955348,-1,266846,-1,104800,1344,543993,-1,603381,818223,-1,245422,934830,842666,664613,240588,140158,146632,515897,-1,172983,-1,-1,-1,-1,11777,-1,-1,-1,970204,-1,299272,490664,278155,-1,891227,-1,800969,975349,-1,-1,-1,341471,-1,995387,730098,-1,-1,-1,-1,-1,555638,819330,246431,608029,-1,-1,-1,-1,-1,365746,84519,929122,822360,-1,-1,-1,650264,458769,-1,274730,-1,-1,-1,-1,-1,640257,212387,341671,50035,42575,-1,610645,-1,61270,969363,181097,-1,-1,438083,-1,395664,555125,923281,899712,305482,93700,-1,-1,53800,-1,-1,-1,106423,-1,-1,390005,-1,-1,231166,-1,-1,16960,203026,-1,-1,-1,542915,-1,-1,-1,-1,945080,370884,375685,-1,-1,-1,605247,589460,-1,969542,-1,931903,640002,787108,326154,507461,-1,980256,335466,-1,164596,129850,858005,-1,-1,-1,173921,-1,154456,4329,760538,-1,-1,-1,721614,248068,-1,499864,317938,-1,20499,164262,-1,362763,-1,476461,-1,476886,611206,-1,-1,-1,-1,372878,16559,-1,-1,-1,-1,-1,-1,-1,547945,-1,-1,-1,-1,-1,337045,-1,577378,654632,-1,824340,-1,477763,-1,694949,565740,-1,-1,207447,-1,-1,-1,-1,684599,-1,757228,-1,169648,912577,971773,-1,651457,-1,-1,918694,-1,290190,-1,-1,271844,767206,-1,934748,231414,-1,-1,-1,654883,661716,558294,-1,-1,567653,-1,358100,200685,374152,787539,954448,-1,865681,-1,821507,-1,-1,-1,-1,-1,-1,607095,-1,-1,967393,-1,-1,-1,-1,-1,-1,981435,-1,-1,87551,979405,-1,76370,-1,664346,417628,-1,966002,249398,147879,-1,733925,-1,340505,810544,123262,394987,-1,-1,425616,-1,-1,-1,978064,516521,-1,102579,-1,713042,-1,635083,-1,-1,-1,-1,131269,513269,392615,-1,816183,248249,884277,-1,-1,-1,-1,791092,-1,-1,891767,-1,788095,759040,-1,-1,-1,-1,933831,-1,478930,404659,-1,-1,-1,80594,-1,-1,-1,-1,-1,-1,408042,366847,835317,738470,416958,556345,-1,-1,488621,643686,650402,313203,-1,428543,30688,-1,258395,-1,-1,-1,138859,-1,118655,-1,397481,220667,-1,867410,-1,-1,613405,995388,61946,-1,605235,54229,-1,-1,-1,-1,-1,-1,323961,619081,132945,-1,-1,-1,-1,636521,-1,-1,-1,714523,-1,-1,131351,-1,694947,-1,-1,516399,738728,-1,676707,-1,520016,-1,28216,-1,555823,890549,-1,-1,-1,-1,543271,881983,-1,231549,639632,940003,-1,-1,-1,175014,-1,861245,784838,551928,844270,-1,-1,27377,-1,743688,821988,285024,-1,-1,-1,408444,547860,-1,673940,-1,-1,425165,-1,911997,491683,389255,-1,-1,677443,-1,-1,-1,-1,-1,-1,895685,-1,-1,-1,385808,-1,-1,838412,752209,183980,122860,418812,-1,662652,385496,579875,-1,-1,178949,740435,-1,24884,-1,-1,221950,-1,-1,-1,-1,-1,-1,491658,-1,805570,-1,-1,462498,847078,-1,2483,678628,-1,-1,-1,510788,112239,667954,-1,-1,490397,-1,-1,508581,-1,-1,-1,309214,-1,379820,-1,-1,872195,-1,755834,120797,-1,45429,256675,89652,720054,837174,407189,-1,-1,-1,884774,-1,-1,-1,-1,-1,914932,-1,-1,-1,54290,804691,424233,-1,-1,169463,-1,-1,425337,73828,-1,-1,-1,722901,-1,678148,21837,-1,348554,214299,-1,128020,-1,777983,-1,411486,-1,417747,830279,854745,-1,-1,667864,587967,-1,927082,-1,-1,-1,804526,-1,919996,-1,490292,470370,947570,109510,701516,-1,765448,-1,741650,-1,-1,-1,-1,269025,336218,-1,298188,804129,-1,408759,689286,-1,749364,958487,-1,980928,-1,968290,-1,992623,-1,997653,113747,-1,-1,-1,-1,319130,-1,27299,-1,-1,-1,254418,-1,24199,823165,-1,397992,-1,-1,40514,937408,581133,902910,-1,-1,-1,722848,784004,-1,-1,518411,202144,-1,439113,620263,297974,-1,-1,-1,803978,260718,502664,-1,258907,-1,-1,-1,-1,-1,392120,579305,-1,-1,626787,494856,789317,-1,95144,-1,-1,298457,-1,-1,103140,-1,-1,-1,391308,480037,-1,656695,-1,88546,542521,533127,-1,429560,-1,811187,-1,821514,670342,-1,-1,850067,196256,613846,-1,691583,306210,960373,-1,440681,-1,-1,195810,-1,391058,-1,719764,-1,-1,-1,-1,124905,-1,-1,325862,-1,-1,-1,-1,737176,-1,419442,435004,-1,92790,191665,-1,97007,-1,720631,-1,379993,411721,-1,-1,783702,-1,-1,-1,-1,-1,98440,-1,682775,-1,574679,-1,349364,-1,82328,-1,-1,-1,361015,90289,-1,-1,314839,-1,-1,241177,274006,-1,795162,-1,843886,160508,-1,-1,88372,3055,-1,-1,-1,501152,-1,282901,-1,540396,146318,-1,359145,-1,921867,661290,-1,42626,-1,-1,-1,-1,988766,585969,214796,41346,963416,-1,859766,847677,303304,-1,100504,987053,199357,826054,592809,818291,362013,-1,-1,-1,100564,968888,773550,-1,-1,-1,613091,-1,-1,668185,290692,-1,964211,-1,249263,576649,792252,578791,-1,-1,-1,839389,-1,-1,-1,-1,613090,-1,-1,520733,469814,901470,465662,-1,-1,123244,45344,-1,-1,98240,-1,939959,166357,-1,-1,-1,-1,133389,-1,139200,-1,820086,971993,562098,-1,-1,923605,-1,793540,-1,245071,-1,75749,617308,-1,-1,-1,226701,-1,-1,224367,63093,-1,219684,-1,-1,-1,-1,192795,703754,-1,-1,-1,-1,-1,34039,38828,-1,-1,-1,-1,222555,-1,-1,858474,-1,-1,144522,-1,-1,-1,789065,-1,-1,417956,167885,-1,428273,506476,-1,399350,596048,-1,716843,-1,146395,387552,-1,175725,852150,74250,752003,-1,556403,550047,185599,384705,953573,795590,-1,-1,14795,629978,-1,-1,518532,607291,-1,-1,-1,946892,-1,-1,13177,-1,-1,-1,-1,-1,596130,-1,711165,-1,274506,432904,192776,199056,-1,230715,310655,-1,711779,907692,599208,286259,-1,-1,939318,256869,-1,698749,403941,548696,606048,-1,-1,-1,766341,145082,460618,-1,-1,-1,-1,825426,-1,335402,-1,-1,422312,-1,498905,-1,104145,-1,238308,584295,838883,-1,-1,-1,-1,700694,253327,120429,404221,768291,-1,-1,-1,999149,-1,-1,120069,-1,-1,374793,743725,247904,755925,647164,500506,-1,735658,-1,842269,746844,-1,-1,93392,-1,-1,190819,-1,237404,346422,-1,-1,-1,-1,159160,846136,405611,500026,461732,-1,-1,936427,-1,-1,-1,810498,-1,-1,-1,-1,937093,525215,-1,216277,512675,-1,41767,2739,342634,937632,969251,-1,-1,-1,532584,84770,-1,-1,374834,-1,171755,-1,816784,-1,-1,-1,-1,631693,-1,803267,815505,447241,139338,-1,972617,676057,395705,-1,-1,33257,-1,481774,-1,52593,589703,489162,-1,285477,440056,898500,-1,327517,917258,-1,612637,749529,876501,-1,-1,536137,370500,366560,938531,-1,658788,-1,34676,612181,-1,352177,-1,78119,-1,766447,-1,275469,-1,-1,-1,-1,-1,-1,845947,-1,996541,-1,338015,-1,786442,30919,421127,946427,-1,46211,302616,824304,136037,-1,580916,-1,352907,-1,-1,-1,880933,-1,398118,-1,766262,323049,-1,121197,-1,341435,975866,801015,645912,426276,238737,700130,-1,638558,-1,294305,-1,-1,608052,-1,289946,176180,-1,-1,289576,-1,-1,-1,674345,719900,819476,-1,-1,-1,-1,625942,-1,388275,-1,-1,868704,396157,519479,-1,-1,973581,880072,-1,-1,-1,-1,-1,830230,-1,-1,-1,-1,490606,387348,-1,-1,-1,-1,691652,-1,-1,-1,-1,402295,-1,-1,-1,-1,15669,792386,-1,-1,-1,-1,513569,158961,848797,551290,62679,997369,-1,656996,-1,-1,603380,-1,588968,689362,-1,-1,-1,-1,648749,300395,-1,42940,-1,240118,527477,-1,542822,293375,108282,-1,574145,-1,-1,-1,-1,-1,-1,-1,-1,108266,397182,935268,-1,-1,-1,-1,-1,-1,387582,-1,-1,-1,237453,407643,663701,-1,-1,120764,-1,38760,222424,-1,-1,728802,-1,371881,-1,-1,426539,701096,-1,799226,-1,932410,-1,-1,269826,-1,-1,695123,-1,-1,-1,-1,216126,-1,607512,-1,18229,-1,-1,-1,238244,-1,32371,-1,-1,-1,381827,23955,-1,-1,595019,-1,775786,246337,-1,-1,-1,-1,-1,-1,-1,833061,-1,-1,942610,347257,577838,885419,672595,862127,-1,493429,246412,253178,-1,-1,292841,-1,-1,903057,33937,-1,-1,-1,872194,941362,-1,941337,710971,608689,-1,-1,114808,-1,268062,-1,492218,-1,-1,-1,755722,-1,-1,472678,-1,160100,687585,-1,-1,222619,271031,-1,882700,-1,-1,-1,-1,-1,464456,306641,401948,-1,-1,27531,810739,-1,-1,-1,93548,-1,-1,643290,749819,134462,500733,969152,136204,-1,493276,842996,-1,952785,301739,-1,-1,-1,-1,-1,-1,715503,-1,-1,-1,-1,-1,-1,32155,453456,-1,-1,793233,-1,-1,-1,617761,-1,-1,26362,-1,-1,632397,117277,461713,-1,325127,-1,-1,-1,-1,-1,-1,789203,-1,-1,-1,976766,605408,190196,344339,-1,-1,743922,973175,-1,-1,79438,565102,-1,-1,176778,475771,-1,-1,-1,-1,-1,-1,611327,-1,859431,-1,652389,-1,-1,-1,-1,190618,211188,-1,816774,-1,718212,754439,-1,810238,-1,847516,-1,-1,974943,239500,119735,315215,-1,213295,493094,552324,372120,-1,-1,-1,799951,-1,689445,-1,851394,702400,-1,967908,-1,-1,-1,-1,645391,112513,175449,420606,263903,-1,879860,647185,-1,599898,-1,-1,-1,-1,-1,241672,-1,179533,942460,-1,-1,243336,-1,-1,-1,121214,872286,-1,-1,-1,139735,82690,-1,-1,-1,-1,-1,-1,293474,-1,416251,474606,-1,-1,619251,-1,-1,411043,-1,281518,-1,281947,733864,-1,894153,-1,603519,-1,713633,701048,748011,-1,194088,733216,52361,441634,710634,706828,-1,-1,513085,-1,-1,319482,-1,102582,-1,-1,-1,849834,200673,40103,-1,690450,-1,438547,-1,-1,185409,427875,577812,-1,-1,-1,-1,-1,280932,-1,720053,-1,-1,187069,-1,-1,-1,-1,-1,-1,104091,-1,-1,-1,782458,-1,-1,-1,-1,-1,-1,450049,896814,445251,-1,-1,43494,534446,551197,363894,819216,32581,645764,435821,382438,-1,462830,825497,-1,31890,865991,22357,475961,-1,890566,-1,-1,-1,402404,307900,645699,430707,-1,-1,148361,4239,756250,-1,240843,797284,-1,-1,106896,-1,840625,6349,574906,-1,-1,-1,-1,809209,-1,-1,-1,-1,-1,-1,374108,-1,285236,344026,-1,476333,-1,766307,513641,899630,129008,217045,-1,4335,794693,-1,381337,12819,-1,-1,138019,-1,-1,-1,-1,-1,58948,621754,905882,394904,306359,323109,863914,-1,871195,155755,248629,351182,346267,484816,429581,-1,-1,437294,127989,960532,-1,505197,323383,615929,163812,-1,278872,295678,-1,-1,-1,-1,636090,989741,844866,-1,495424,-1,537344,641609,-1,94660,-1,547609,732162,563399,825110,912636,-1,-1,413042,771624,865172,-1,-1,256169,909036,722232,677609,-1,-1,-1,-1,222641,723362,-1,703011,726430,358688,219,-1,500536,138366,270304,768437,65947,175242,-1,390787,218546,-1,22621,-1,-1,54305,116006,-1,-1,113313,-1,-1,-1,153865,5455,-1,-1,227482,-1,-1,-1,-1,745035,396943,484950,-1,-1,-1,-1,-1,261190,36677,315106,-1,-1,-1,590627,671864,-1,641056,961006,-1,-1,538379,-1,-1,447024,633240,558297,-1,386111,924722,-1,-1,251433,957552,760040,-1,504782,354802,515269,207311,-1,970383,953380,-1,-1,-1,289090,-1,984496,713461,-1,-1,-1,-1,729366,-1,96247,491739,-1,-1,-1,-1,-1,-1,-1,371340,241016,-1,122030,-1,-1,-1,91176,932572,218868,-1,-1,-1,574524,-1,-1,-1,982506,-1,326412,-1,-1,-1,-1,-1,541954,-1,583801,61321,-1,-1,68762,382402,191673,545249,375218,250165,350193,559798,-1,996290,939354,-1,577572,-1,-1,406265,-1,-1,-1,907991,-1,-1,293382,268725,-1,579542,605978,995256,-1,241805,308819,-1,-1,-1,-1,-1,-1,653464,763825,554806,564766,-1,-1,804748,-1,-1,298945,-1,-1,33660,706145,626489,134721,674392,630139,673788,23047,652604,-1,790386,788775,-1,297683,899012,44868,-1,-1,91786,-1,-1,420846,560872,-1,879361,-1,211553,60461,-1,605404,-1,-1,17737,817630,-1,72065,316018,571826,805116,-1,373737,665307,520125,371286,-1,-1,-1,724510,975527,987910,637763,-1,-1,952534,-1,829996,311515,335367,961524,-1,869706,-1,-1,876680,937942,833329,-1,-1,824507,-1,49179,528389,391023,212334,-1,-1,261069,-1,712974,385003,-1,-1,393922,170492,516148,710047,740840,756023,-1,159743,-1,-1,67304,975501,71796,237884,-1,7291,342131,1400,133838,-1,-1,-1,695573,-1,-1,-1,867005,970074,202344,61476,126541,-1,976182,-1,457929,-1,126726,669853,353167,32304,993523,665703,832845,680449,-1,331620,-1,163080,100319,-1,676363,458009,-1,-1,294466,-1,668044,775205,-1,540448,-1,-1,377973,951263,341498,390396,638693,759038,718405,-1,-1,437628,99129,-1,613059,176933,22132,-1,-1,854144,-1,464766,588652,557602,-1,-1,586241,-1,496846,-1,-1,-1,-1,951130,58105,774002,-1,-1,-1,23219,289555,100991,418274,-1,-1,538017,100959,-1,-1,285766,778260,873479,443027,-1,882578,-1,477847,-1,654765,649604,462826,-1,939824,-1,-1,-1,-1,-1,-1,-1,205261,201191,-1,569511,619057,326715,460180,-1,335940,-1,675289,-1,-1,524744,-1,820156,-1,-1,795866,-1,-1,660790,-1,386518,-1,33371,-1,-1,325985,662966,855516,423917,130631,-1,-1,902963,440060,-1,230197,-1,891966,30580,214608,-1,-1,801783,-1,-1,-1,20384,997203,495387,999810,309604,437837,-1,-1,387392,-1,-1,772999,911538,-1,230684,657081,627623,239288,111635,-1,880879,-1,164522,65811,-1,-1,-1,114936,-1,-1,-1,333035,-1,-1,-1,-1,347133,-1,463072,-1,396959,-1,603536,711319,392672,-1,-1,485775,-1,-1,-1,-1,-1,-1,-1,-1,-1,222897,211397,-1,-1,-1,-1,111936,-1,-1,798299,-1,-1,153575,-1,578223,227580,397889,292952,835948,-1,467529,99929,-1,-1,173537,924421,398705,957513,-1,83917,-1,413398,-1,-1,-1,343635,145367,-1,-1,-1,848847,-1,517712,65388,-1,291292,-1,-1,452966,-1,768631,-1,-1,-1,935765,205347,-1,83693,-1,-1,139001,-1,781170,-1,852467,-1,-1,-1,482131,-1,348670,-1,-1,-1,-1,399187,-1,942489,362855,409625,450654,-1,-1,-1,384769,603453,924499,-1,299376,590910,362723,-1,-1,143200,-1,117465,-1,728073,26819,-1,735859,537777,-1,927701,308082,437842,-1,-1,-1,534077,-1,923322,344113,-1,-1,-1,-1,-1,678451,376405,445124,-1,571014,-1,859957,-1,5640,318886,-1,573702,208668,968622,596198,-1,-1,-1,734603,-1,-1,-1,-1,615353,854363,-1,599768,472118,168361,858643,580593,898312,870771,478036,820109,-1,425188,-1,-1,-1,974396,-1,-1,77930,-1,-1,-1,-1,931627,-1,23295,-1,789712,-1,387652,890664,53499,-1,-1,-1,-1,-1,741767,570210,-1,445016,526921,417304,-1,470336,-1,946051,582947,816177,-1,169111,-1,202855,272089,392892,-1,-1,62549,-1,698899,500913,300747,-1,-1,599460,-1,249186,-1,676280,399151,-1,-1,535824,-1,-1,740623,390170,70103,-1,-1,957920,-1,144093,-1,-1,136525,-1,-1,180106,269287,-1,359027,74747,927039,-1,389386,384903,616429,789745,618132,380776,-1,-1,255440,665397,469953,-1,-1,146663,29595,-1,-1,-1,889937,558681,-1,-1,919340,-1,-1,862273,-1,-1,-1,478995,371784,-1,529725,517385,-1,693319,855738,-1,369490,82235,-1,480920,119398,-1,-1,-1,140822,-1,-1,-1,630920,-1,-1,493271,-1,-1,178315,523875,-1,755356,-1,-1,80786,-1,307228,-1,-1,-1,495458,222956,659039,-1,856061,-1,449906,146960,-1,45961,488088,-1,563581,932813,985848,121774,77087,574186,-1,409658,-1,763553,-1,571968,348064,920348,-1,-1,-1,431680,263671,388504,-1,447434,869409,-1,-1,-1,-1,205147,-1,-1,-1,-1,9689,-1,36462,495351,-1,-1,-1,-1,-1,789259,257594,-1,836710,14058,-1,983280,341220,938524,-1,-1,421986,194831,410522,701672,-1,-1,965668,813605,-1,53533,-1,-1,195984,862378,-1,621363,744835,556432,841734,748207,278498,-1,258738,125533,-1,501007,128683,253279,178675,571483,58233,-1,267613,-1,911311,152191,-1,169934,254872,110078,-1,328383,-1,87688,-1,107750,488556,-1,-1,-1,-1,-1,181525,-1,-1,911973,921318,-1,-1,775385,68005,-1,-1,354887,-1,-1,-1,-1,-1,-1,452055,876701,414018,-1,688121,-1,144554,-1,-1,681270,569132,830944,-1,-1,959410,930052,-1,185430,-1,493526,643896,-1,-1,-1,103861,514706,-1,-1,-1,692099,-1,-1,-1,-1,108424,-1,-1,711454,422171,76177,-1,-1,-1,-1,-1,-1,161588,471671,604825,-1,696860,95231,-1,-1,-1,-1,-1,-1,456597,-1,2103,-1,-1,-1,-1,275145,-1,-1,-1,409283,696450,-1,651257,-1,-1,630375,-1,610637,-1,686114,-1,287593,385662,-1,-1,413169,40536,253702,280249,-1,691904,280726,-1,-1,242773,-1,165264,-1,-1,-1,529498,-1,-1,-1,14450,230941,-1,781156,849898,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,282203,-1,876854,520958,-1,749708,-1,794988,-1,-1,-1,-1,531411,-1,898910,-1,876596,-1,-1,-1,-1,-1,-1,-1,-1,151321,642890,-1,490513,-1,169851,26829,130016,837696,547810,321969,225182,885833,99358,-1,-1,633295,371061,-1,-1,598436,263404,833588,453503,-1,911746,-1,663528,-1,14881,-1,302894,-1,-1,-1,251811,456507,304010,834991,595674,-1,512863,-1,482796,-1,420971,-1,602714,-1,394219,126542,253335,26066,911842,83643,-1,-1,-1,95888,-1,-1,280246,-1,-1,827004,-1,3568,665565,788809,986010,-1,622420,305900,857067,-1,433541,-1,181875,-1,132058,119816,-1,404350,-1,-1,105509,601401,930357,-1,946284,-1,981073,-1,-1,604686,-1,-1,-1,762351,-1,952371,-1,652058,763751,978370,501865,-1,713399,-1,-1,808195,-1,-1,468077,963624,-1,-1,81345,234966,-1,271998,-1,-1,51183,508126,265241,442846,716546,-1,632320,767388,-1,959524,840422,-1,-1,-1,583639,-1,-1,478247,562882,-1,638997,916913,519567,779919,-1,-1,389733,563989,-1,634007,-1,679436,375822,174284,-1,-1,558187,-1,-1,640806,-1,-1,87958,-1,-1,-1,219615,52466,-1,47565,999847,-1,-1,432010,812090,-1,588240,44224,-1,-1,-1,-1,628468,-1,-1,933541,-1,-1,-1,-1,-1,-1,-1,592413,-1,-1,-1,28822,999435,-1,342744,77856,210777,749751,-1,-1,-1,-1,-1,-1,303274,376895,35121,-1,98592,684973,-1,-1,-1,987831,612789,531140,-1,929140,571168,-1,756115,785383,-1,5886,-1,743830,464642,748056,919400,22265,-1,573680,-1,-1,632678,865262,641487,281730,474128,-1,-1,657492,-1,-1,867333,-1,583844,-1,-1,-1,-1,-1,498559,516917,-1,-1,667196,-1,520217,-1,-1,-1,-1,-1,-1,555869,-1,711841,-1,838813,33245,711404,-1,-1,817466,911671,-1,360225,-1,-1,-1,236482,54489,180041,482405,-1,913328,624724,948235,-1,-1,640196,631709,645154,-1,189465,-1,-1,744533,-1,-1,-1,-1,-1,149310,-1,176336,-1,534534,528628,-1,-1,-1,491029,928053,802360,-1,774186,70843,104449,-1,-1,751591,222835,-1,-1,482522,263128,-1,970469,553001,-1,101394,516206,-1,536336,630980,440684,86226,92460,-1,-1,-1,234806,-1,-1,528197,861776,-1,-1,-1,-1,657399,183368,535793,281837,829986,84724,56294,613837,-1,-1,-1,-1,911514,-1,-1,865703,-1,-1,763031,-1,615161,814154,-1,488798,579182,-1,441859,703403,-1,-1,-1,-1,593868,24824,-1,-1,-1,-1,-1,124712,552501,-1,-1,392147,-1,865893,-1,-1,-1,582298,868237,697705,820396,505253,-1,-1,-1,369167,534808,22312,189385,318005,231462,-1,446286,548674,-1,-1,-1,-1,-1,-1,-1,293626,203223,-1,-1,-1,-1,-1,-1,71039,-1,-1,403253,-1,-1,719714,313105,-1,429579,-1,-1,-1,107783,-1,-1,871000,-1,-1,-1,731212,-1,704462,-1,735818,-1,195986,463889,-1,-1,234906,-1,555829,-1,525892,301312,-1,-1,-1,-1,674815,-1,-1,-1,469847,-1,198611,-1,944249,169548,-1,918553,164623,64779,-1,-1,541823,-1,-1,321188,211880,-1,-1,-1,587368,741914,-1,256651,755179,725459,-1,673980,-1,-1,634297,-1,4888,357884,-1,-1,-1,-1,-1,125633,-1,-1,581396,-1,-1,33515,-1,-1,459107,-1,177054,728328,363570,11259,-1,-1,357115,645183,-1,237309,272920,919015,817499,-1,101966,-1,726982,-1,219498,934578,-1,288322,156649,121575,429115,-1,544329,-1,-1,561037,276451,36438,-1,-1,-1,93576,417924,-1,-1,-1,-1,78172,-1,997366,609360,-1,712377,-1,289597,88982,6551,-1,-1,615375,339095,222339,789612,-1,-1,426286,330450,73523,122264,607719,-1,488954,268187,-1,-1,125045,-1,481378,-1,736925,-1,-1,-1,-1,-1,409858,-1,-1,306190,91826,-1,875335,-1,139882,169761,410762,141382,-1,-1,140440,95716,-1,391283,92535,-1,485513,-1,-1,-1,-1,589505,-1,729745,-1,135962,8443,-1,-1,-1,576179,887610,-1,-1,460729,-1,759871,107008,-1,469889,644833,574483,-1,-1,182952,378901,674311,294315,-1,-1,-1,-1,665768,993544,46494,-1,-1,656127,-1,190844,181785,-1,-1,-1,-1,937966,-1,476984,259081,300413,761693,892069,-1,345233,-1,33470,394644,420033,-1,-1,912225,912490,-1,-1,-1,513208,337653,266285,-1,-1,389841,-1,-1,598793,-1,-1,182208,-1,878831,-1,-1,-1,531419,38259,798052,488753,849984,620193,-1,-1,938384,371262,-1,748813,-1,-1,42309,-1,609943,-1,516172,198081,-1,-1,331292,-1,558287,496431,974731,583432,-1,172806,-1,-1,-1,849709,-1,941202,933316,-1,28532,-1,880119,-1,336772,-1,-1,257385,274673,71574,443130,-1,512149,776553,-1,84937,764350,-1,-1,-1,-1,-1,-1,311049,-1,386817,-1,-1,-1,-1,-1,-1,-1,827648,817072,-1,-1,154133,304626,-1,-1,802366,612618,-1,413799,812925,300563,-1,-1,360156,-1,-1,28872,-1,-1,-1,558567,-1,-1,729763,394721,-1,704136,578700,-1,112834,459781,886126,-1,-1,-1,904512,-1,629741,-1,-1,364372,698593,-1,340508,151395,-1,23706,67136,55326,-1,529158,-1,931080,378157,-1,420521,-1,-1,256556,812340,884015,-1,769490,-1,-1,526447,412236,-1,-1,906312,375718,-1,-1,-1,238112,901018,-1,-1,753834,-1,986298,514577,-1,163370,-1,14438,481443,-1,-1,-1,-1,791740,-1,-1,325829,-1,204683,-1,392055,-1,-1,-1,513260,-1,-1,583992,-1,340895,865169,640790,928760,831999,-1,-1,-1,-1,431652,-1,367979,-1,-1,-1,40010,269786,-1,-1,311653,-1,-1,-1,-1,271618,948953,-1,743291,-1,717293,-1,5020,-1,962059,439190,-1,57119,-1,-1,422242,-1,558967,317881,300162,129267,-1,789425,586915,-1,-1,-1,-1,-1,755193,512638,926894,-1,-1,-1,743341,-1,-1,-1,-1,-1,701261,987947,-1,197819,529031,147744,847773,-1,-1,-1,-1,-1,-1,762427,284970,-1,854150,43193,-1,-1,-1,298389,-1,-1,-1,560541,-1,495247,710566,186355,-1,-1,197013,541025,-1,313295,87439,501808,881612,450856,342683,-1,-1,-1,58834,-1,589620,322686,195148,-1,433635,524844,-1,514018,259143,362647,104235,406955,903559,-1,42561,563522,677202,321000,-1,-1,-1,928192,-1,869621,-1,231367,-1,-1,-1,151697,87390,479817,560346,-1,943960,-1,-1,821993,867289,559771,-1,-1,21446,-1,-1,-1,279235,177239,-1,-1,506239,-1,-1,612015,-1,460474,514922,-1,-1,-1,930040,-1,66280,-1,743971,-1,-1,213402,898199,-1,35901,-1,178040,-1,-1,256177,-1,-1,-1,256081,400056,-1,-1,-1,497191,-1,-1,499914,-1,642465,-1,-1,336239,-1,-1,-1,-1,-1,-1,16865,968443,547507,651621,-1,111799,524572,639362,-1,-1,-1,619691,821891,596602,275825,-1,-1,-1,869799,-1,667357,-1,246119,165913,-1,882443,551382,-1,-1,242186,374482,-1,-1,647227,667087,-1,-1,644811,575739,-1,899838,-1,825228,779695,-1,673888,933177,431090,95294,-1,421653,-1,806534,-1,751251,-1,-1,-1,-1,-1,-1,915975,-1,156343,825839,-1,-1,647269,105557,-1,484001,-1,279812,-1,-1,864889,-1,266258,-1,-1,876028,170454,889046,-1,-1,-1,-1,-1,379241,-1,-1,180136,-1,349061,633913,828405,111970,-1,238838,878406,599577,-1,-1,-1,835483,-1,394847,697715,414087,866506,-1,-1,715350,197388,-1,-1,-1,-1,967926,176902,-1,839203,105716,-1,-1,67233,585967,501005,-1,-1,-1,-1,400755,-1,258814,727248,-1,-1,669690,37019,-1,924967,570339,-1,780791,847532,-1,-1,-1,-1,-1,913408,-1,-1,772883,-1,-1,-1,-1,-1,-1,585297,-1,-1,551399,776447,-1,739208,134766,-1,82402,-1,-1,-1,-1,-1,-1,-1,-1,832870,-1,-1,606685,-1,599014,330025,-1,-1,-1,-1,652336,-1,628275,-1,-1,845157,911946,305075,913788,975009,-1,406597,576994,878642,-1,-1,323652,31687,-1,181269,-1,473333,778633,277489,702438,407246,-1,-1,-1,-1,-1,595274,-1,-1,-1,-1,-1,532436,-1,69194,104460,-1,-1,849772,37808,589189,-1,453571,-1,40035,419315,592146,-1,-1,112646,-1,-1,160420,-1,-1,954659,-1,-1,-1,698145,-1,467519,464859,784946,-1,-1,-1,59779,709708,-1,533650,-1,-1,851055,-1,667062,833076,-1,-1,705861,-1,758650,915846,907634,430618,347274,217510,361153,-1,-1,974007,524230,389490,886017,-1,56000,-1,635755,482707,603282,835644,497234,678104,235524,-1,115397,487467,-1,33994,25223,779060,178458,107886,-1,-1,-1,-1,-1,182892,338593,939788,-1,713699,-1,703030,870101,-1,-1,626764,-1,-1,-1,936827,512102,-1,-1,-1,309937,700266,687254,109106,419696,607379,883559,4752,563379,874021,862042,-1,102326,-1,529597,820392,-1,157744,-1,134601,-1,714638,809698,983790,510034,693582,615535,-1,-1,-1,542722,332369,797958,362420,-1,-1,-1,534130,-1,900252,-1,999476,-1,-1,706805,-1,-1,16868,143673,-1,420867,934120,828062,-1,-1,-1,737917,662467,105229,261733,319480,-1,265728,346676,-1,-1,-1,-1,-1,-1,566408,-1,912510,927843,621134,-1,478503,-1,661929,713355,882226,-1,828786,-1,-1,-1,664451,-1,384538,70816,437956,-1,-1,676270,-1,825593,738176,558826,503581,-1,894084,-1,92138,815763,674296,637189,-1,-1,-1,337457,-1,722469,980873,-1,416425,-1,97168,-1,735882,589522,-1,546912,-1,620985,-1,-1,-1,-1,301266,-1,401181,873819,933785,919016,-1,-1,-1,803326,471607,-1,-1,589017,-1,-1,-1,426526,947243,533075,-1,-1,58661,-1,168083,-1,181391,-1,793932,-1,629996,814065,-1,963814,-1,252428,520802,883336,64527,799555,83754,238528,-1,-1,-1,-1,-1,-1,-1,-1,921872,813282,227977,-1,-1,-1,605544,-1,961882,49367,-1,92461,-1,987413,-1,66708,741815,656641,707048,973180,-1,-1,399732,296880,-1,242926,-1,-1,-1,446214,-1,-1,124967,-1,-1,472773,-1,90640,-1,-1,910514,578132,146452,-1,-1,866057,260589,779026,538867,-1,544733,634475,475275,926442,197526,348620,-1,530482,683561,580696,134702,530380,439550,927368,-1,-1,-1,-1,870010,825842,189048,-1,-1,-1,-1,-1,610360,568385,633638,-1,-1,156322,305682,715941,660143,635411,-1,-1,-1,-1,-1,-1,744085,345436,-1,-1,-1,54322,599746,472226,-1,869764,-1,119809,554819,340691,-1,156726,6972,740072,-1,135578,521221,886791,-1,83770,-1,-1,-1,-1,-1,-1,807524,-1,728881,181190,16877,487958,870485,749592,733530,64168,666645,387475,-1,-1,268975,924701,-1,-1,676637,-1,237928,-1,73246,610823,323253,-1,699362,-1,517944,630306,520972,-1,807723,-1,87164,-1,125435,-1,-1,645893,-1,-1,-1,-1,-1,-1,186322,32403,739575,551683,59529,-1,-1,9090,467409,746461,582511,-1,-1,-1,-1,-1,-1,856875,-1,-1,108036,-1,-1,52482,849511,417872,456532,-1,-1,155646,-1,620109,142083,390059,-1,-1,-1,584262,-1,757325,724049,637016,-1,-1,167221,791578,-1,-1,-1,-1,-1,-1,-1,-1,644056,366072,850254,-1,-1,-1,-1,588789,684412,-1,63022,-1,594569,893894,-1,939439,-1,-1,-1,619405,90831,-1,-1,561669,-1,2936,-1,928927,-1,-1,144540,368054,149904,748555,503582,1688,58547,762571,508860,111401,-1,934391,271157,153613,-1,278326,951294,374196,771788,943870,-1,-1,-1,484999,-1,-1,-1,328563,-1,536018,957544,-1,396947,158795,165321,-1,-1,-1,-1,-1,-1,574327,434201,-1,856196,-1,25530,-1,500266,-1,205697,556927,-1,-1,-1,761619,-1,-1,376725,370869,-1,-1,-1,974254,889302,-1,124172,638379,-1,495194,-1,-1,-1,18007,996197,-1,749681,-1,223432,316558,-1,-1,985020,-1,194768,-1,52187,447059,-1,304764,184491,904204,769544,-1,17991,-1,620604,781380,-1,-1,598697,-1,563843,952612,721139,292505,-1,-1,734781,-1,-1,539076,12188,154153,543415,615994,222437,165670,-1,-1,-1,243151,-1,810217,-1,-1,301790,627557,-1,-1,-1,563091,-1,-1,-1,583032,390428,-1,-1,-1,-1,-1,451794,-1,596254,308935,972301,960194,103919,875631,-1,-1,-1,623066,802968,412467,-1,-1,-1,870422,-1,-1,-1,-1,-1,390313,718824,-1,-1,-1,17901,-1,528248,-1,288417,-1,-1,14452,-1,-1,-1,-1,-1,-1,361608,-1,-1,846727,644894,804561,820579,824196,-1,-1,-1,-1,706337,-1,235137,365794,-1,-1,-1,-1,568187,809039,-1,-1,-1,-1,-1,63823,-1,-1,-1,-1,523862,-1,649042,349030,-1,401069,-1,-1,578042,-1,58578,172759,-1,-1,21145,292226,668762,851005,826844,777406,-1,-1,-1,-1,419425,335059,-1,965240,-1,-1,274176,-1,170425,669098,-1,32645,198915,310002,-1,321637,454758,436181,434222,226746,-1,-1,-1,108678,729588,194706,110186,-1,593817,172335,-1,-1,-1,90399,226861,274548,-1,476802,218488,454727,-1,712853,927269,-1,-1,811353,672186,-1,921158,59825,120638,-1,-1,445199,735904,-1,-1,95893,408635,874908,-1,-1,844901,24744,698775,-1,787976,256612,-1,598070,-1,-1,794735,-1,38030,-1,952954,77928,-1,90062,-1,683911,239691,18621,-1,791454,-1,-1,-1,832967,117867,59597,-1,200331,-1,969690,814888,36430,-1,285023,-1,-1,125456,-1,157555,-1,218952,-1,-1,-1,982922,549498,481637,-1,-1,-1,-1,377898,681045,-1,207002,-1,31408,800459,-1,478037,-1,-1,-1,-1,-1,120694,-1,-1,-1,-1,-1,-1,-1,571823,541034,-1,-1,-1,547798,-1,-1,-1,-1,978379,-1,-1,83995,772791,236684,341277,-1,-1,-1,160966,-1,-1,369562,295151,574225,-1,-1,880053,626785,267915,796377,862018,-1,-1,-1,862224,-1,-1,795122,451892,285859,-1,-1,734517,-1,941863,-1,59386,-1,-1,225124,442828,404771,984519,-1,-1,721278,680886,-1,-1,96757,761284,684434,338232,733798,-1,-1,84386,-1,110967,62725,-1,-1,-1,183813,329540,131780,-1,573833,157779,-1,-1,-1,-1,-1,167246,-1,-1,-1,271267,-1,855068,66121,927785,-1,890593,245092,-1,62165,-1,-1,115492,-1,-1,-1,291270,-1,-1,-1,754097,804737,253647,878972,-1,-1,193753,372486,791509,-1,197969,-1,183850,-1,701380,662456,-1,-1,430299,-1,-1,-1,-1,939883,641114,-1,-1,722519,450674,742184,759134,-1,686782,867908,-1,280336,98555,-1,966389,-1,748598,-1,-1,691829,651478,342587,902300,-1,-1,-1,887692,-1,759528,696549,-1,631956,-1,228367,-1,593356,852117,-1,-1,-1,-1,262797,741804,-1,883609,-1,-1,130385,304160,420271,-1,70920,561743,187428,-1,-1,-1,-1,-1,-1,107632,231858,-1,469665,358531,456714,742182,454180,81956,-1,-1,-1,776078,-1,383453,-1,433059,-1,489811,986381,-1,387702,731637,470346,181440,3356,-1,540569,449697,82964,-1,872796,-1,73192,957179,888268,530583,971741,626853,-1,-1,-1,-1,-1,-1,49555,782308,-1,-1,-1,-1,-1,30491,-1,-1,649536,-1,294094,386280,-1,460964,681587,199607,519063,-1,-1,-1,999029,355070,-1,-1,-1,-1,-1,300548,-1,729307,819333,936833,543225,213308,978314,-1,467432,-1,75309,731730,358782,-1,-1,-1,-1,342818,-1,551981,-1,897184,-1,484814,226811,600533,453937,-1,365835,-1,-1,122735,-1,866230,868617,-1,-1,-1,-1,184243,724172,-1,-1,-1,197460,971749,430370,-1,873654,-1,988454,352620,-1,424165,710485,-1,-1,-1,439471,973695,653778,-1,650130,-1,993756,409944,766158,510578,-1,-1,-1,-1,668417,288650,355480,656436,663211,293752,798573,-1,-1,410118,-1,900521,3759,252649,387442,168145,714287,454264,-1,320782,-1,828587,-1,318113,100459,-1,-1,-1,-1,-1,-1,-1,699602,618611,-1,-1,415977,-1,885378,143411,-1,-1,-1,-1,659953,622831,-1,581429,-1,588424,876572,3698,469895,280982,-1,-1,661237,-1,-1,-1,-1,-1,-1,632593,-1,630784,-1,-1,-1,-1,267651,158250,-1,919933,452266,725966,-1,889882,28179,-1,-1,-1,-1,977162,-1,-1,-1,-1,-1,893716,-1,-1,-1,-1,-1,-1,-1,62691,283264,-1,-1,-1,-1,-1,794261,-1,87015,962771,35234,-1,-1,-1,359784,-1,-1,795987,434437,915350,393952,-1,-1,441862,628791,40555,-1,-1,-1,250385,469015,438919,-1,872853,-1,-1,250291,-1,-1,772655,107929,705035,402700,-1,956872,178438,-1,-1,-1,-1,661934,821895,381639,-1,280024,-1,72654,-1,210279,841386,510624,65050,692519,-1,611543,-1,-1,-1,917568,552300,667622,32370,-1,-1,-1,696747,-1,-1,-1,550866,694195,99379,-1,-1,-1,-1,703640,210838,136707,177517,-1,1830,349144,991181,-1,-1,-1,-1,-1,237549,832428,-1,-1,625711,464681,7079,8751,905001,-1,415176,-1,75394,-1,-1,797941,-1,-1,-1,-1,-1,-1,126296,288343,-1,-1,-1,744420,-1,187749,697785,447173,-1,-1,480320,-1,-1,703542,-1,728539,209714,-1,56328,976048,-1,-1,257644,-1,-1,221503,-1,127424,-1,-1,885157,528380,799899,185074,89049,384507,-1,231934,146089,463167,-1,-1,981946,518691,434827,699408,419801,-1,-1,220905,918592,-1,-1,-1,-1,-1,880836,138506,180072,421451,26395,-1,362493,-1,701738,451843,-1,853352,-1,-1,-1,314564,407940,-1,555532,558213,670404,-1,-1,776072,267145,-1,-1,980326,677870,852253,-1,159230,-1,-1,-1,-1,-1,-1,58110,-1,-1,935829,972339,-1,-1,629605,-1,297177,-1,-1,-1,-1,385658,84017,707765,988246,267527,-1,-1,696631,575229,696844,-1,-1,806828,-1,60884,-1,758539,318879,861678,-1,-1,-1,656888,-1,670406,517366,-1,143351,-1,657991,-1,-1,918753,-1,718426,443443,-1,219225,-1,468068,-1,788678,306256,-1,467020,782003,-1,17272,84131,-1,-1,514293,864069,73840,841582,-1,-1,-1,-1,478081,59570,621917,600772,-1,767125,-1,-1,42431,134126,-1,-1,954616,-1,-1,350562,470165,-1,-1,-1,-1,526617,-1,-1,502610,707847,-1,829493,-1,113158,400860,-1,-1,-1,-1,-1,441763,626182,752445,564188,-1,339455,355348,392012,-1,86078,-1,5079,407038,222329,440836,-1,236334,640064,-1,-1,545289,-1,-1,-1,454692,150910,75574,-1,-1,264607,191548,25411,633402,-1,-1,-1,-1,-1,-1,-1,-1,784276,-1,807609,-1,-1,634597,-1,418670,594745,380066,316020,-1,-1,605884,-1,921070,812876,934198,269615,-1,-1,9291,747313,-1,20178,782452,903142,103985,-1,-1,-1,-1,634421,-1,703182,135064,-1,-1,-1,905852,840758,-1,-1,389544,-1,-1,-1,-1,-1,-1,771713,855517,269046,802614,-1,-1,163840,121639,-1,958684,88705,-1,394127,273349,517628,346300,-1,-1,879301,764734,664698,-1,-1,-1,6168,-1,-1,-1,-1,-1,-1,-1,-1,181851,265589,850881,702133,-1,-1,250995,780284,-1,476288,578195,-1,433231,-1,-1,221627,-1,-1,-1,-1,19919,-1,-1,-1,884452,857273,-1,-1,-1,577270,306666,364339,293271,-1,-1,-1,-1,-1,680685,391186,-1,189666,-1,660194,-1,912125,83414,-1,-1,933709,29938,-1,724557,-1,-1,590989,271986,-1,738578,-1,-1,-1,-1,179581,822928,263347,-1,238021,-1,629215,-1,-1,231774,-1,522269,-1,-1,81944,-1,410532,846189,687091,949242,-1,316061,37573,-1,72783,466430,-1,-1,-1,981422,322583,794408,-1,-1,-1,-1,-1,-1,-1,-1,710489,-1,184447,-1,-1,-1,-1,-1,-1,-1,338310,164575,393975,653568,-1,501617,525652,337505,-1,-1,861480,-1,-1,611660,-1,-1,-1,404425,696312,-1,289495,71090,795734,-1,436430,132741,-1,-1,-1,-1,-1,-1,797811,983352,5011,331667,245730,857341,-1,-1,342994,-1,252086,-1,-1,-1,-1,547903,310696,-1,-1,-1,-1,-1,14840,-1,-1,194849,-1,-1,17375,132078,747695,-1,272517,-1,-1,-1,-1,906316,237104,386131,-1,893900,549709,302723,459281,808321,386370,703124,782398,-1,-1,-1,-1,-1,995958,402269,-1,256353,-1,394943,42207,-1,-1,-1,801308,-1,-1,972345,949762,-1,198248,-1,66770,-1,398132,-1,-1,473296,-1,457169,-1,646432,70374,708093,-1,484275,-1,-1,671408,-1,513330,460186,-1,-1,663523,956877,867230,392455,590372,-1,-1,-1,-1,-1,-1,-1,-1,708107,35755,-1,-1,487609,-1,664138,-1,-1,911957,-1,-1,753780,-1,-1,602329,-1,-1,732947,-1,500233,-1,248031,-1,33761,770849,16738,498224,157245,609191,-1,-1,-1,518242,955489,-1,324892,-1,-1,-1,370811,739904,541471,-1,-1,-1,-1,33041,186216,-1,-1,-1,-1,-1,492132,325497,-1,408484,404896,-1,-1,374762,-1,456895,-1,138649,658294,762052,-1,-1,-1,-1,-1,87397,23514,-1,511017,459531,-1,969826,322117,797617,44340,-1,601914,963214,233972,550259,-1,-1,-1,-1,301045,833869,-1,-1,772396,428235,750640,735317,-1,-1,383173,429135,798566,513638,-1,-1,897356,-1,112881,-1,918999,528580,978715,-1,-1,454174,-1,917701,798864,-1,-1,-1,289904,-1,-1,883666,847533,-1,686611,248318,-1,-1,636569,-1,-1,-1,-1,-1,22062,408842,-1,759443,-1,-1,927650,-1,-1,-1,-1,-1,312306,-1,-1,-1,-1,-1,612936,819648,-1,896269,369593,42673,-1,796720,436046,-1,-1,357753,710421,-1,912218,-1,-1,-1,405446,607660,54134,209615,-1,508953,-1,776970,742827,586448,730641,-1,678630,-1,-1,-1,-1,747870,302361,-1,792040,-1,-1,821392,-1,652772,807845,-1,-1,298754,-1,439335,423338,-1,-1,-1,-1,159493,884739,-1,57901,692708,783697,602460,692206,-1,88660,838096,714542,-1,-1,490578,-1,-1,22471,-1,-1,920315,635213,31885,973965,-1,-1,-1,-1,-1,-1,-1,-1,239779,-1,980989,-1,76674,-1,-1,-1,-1,-1,235159,-1,4528,-1,-1,654492,-1,531567,-1,15400,-1,-1,-1,-1,271153,-1,671920,-1,757960,-1,-1,488730,146880,428000,-1,-1,818185,820298,245637,-1,-1,-1,-1,-1,-1,597064,740130,-1,-1,-1,-1,387630,-1,-1,967707,916546,532292,327338,750045,-1,-1,-1,803703,921532,506383,385857,878431,-1,-1,-1,-1,-1,-1,555,192255,122652,384203,-1,69329,-1,-1,-1,-1,-1,254520,689871,308832,940888,-1,-1,-1,-1,665459,368548,-1,-1,881852,349752,-1,676907,-1,482923,-1,945161,926025,837023,-1,-1,-1,-1,651040,539317,65960,-1,-1,83818,544939,-1,-1,-1,-1,-1,374789,-1,-1,952898,876615,-1,440692,134810,-1,-1,-1,780517,961173,-1,969420,-1,-1,-1,-1,-1,23318,595032,735781,301071,-1,-1,-1,-1,-1,705916,-1,747722,-1,-1,-1,-1,-1,623535,430831,-1,-1,-1,995586,-1,-1,-1,-1,58407,-1,245085,601740,-1,-1,431803,-1,-1,192300,549366,49707,91655,-1,490466,678041,764861,486851,337265,309898,-1,-1,558068,918931,-1,497749,729352,592924,482034,-1,393367,172440,457028,-1,828701,345167,-1,-1,683828,-1,-1,-1,115637,924681,-1,139438,-1,-1,-1,-1,443592,-1,-1,156180,298818,406299,-1,-1,-1,-1,-1,215974,71734,-1,-1,932884,229111,-1,464452,473000,-1,-1,723530,-1,60869,-1,-1,958731,768326,-1,933461,86275,-1,996310,-1,851527,321679,-1,407901,-1,-1,684149,-1,-1,-1,566905,422253,156018,142157,491684,251953,723160,35327,52279,-1,37688,-1,144181,-1,879629,-1,-1,669317,-1,659531,-1,-1,246071,603250,236353,635628,-1,-1,-1,-1,270490,-1,-1,649688,-1,752474,-1,-1,933680,-1,195624,676158,100668,542773,780822,25203,800388,-1,-1,-1,-1,967224,-1,-1,745337,833248,392861,-1,560172,-1,-1,-1,778621,288137,-1,-1,342759,525589,-1,-1,658261,989887,-1,76373,76810,-1,924338,-1,511144,-1,-1,988281,939011,888280,538725,-1,-1,-1,812679,-1,853048,-1,-1,-1,-1,674255,176235,-1,574712,423831,-1,-1,945424,-1,-1,383827,977707,-1,-1,324707,843184,860354,574545,781330,781000,419671,-1,661146,-1,-1,-1,-1,-1,776509,40153,805768,655598,785846,-1,125242,374373,542909,-1,-1,540689,-1,-1,511986,-1,229386,960934,608669,-1,-1,-1,-1,792345,863781,-1,-1,-1,-1,789892,342321,-1,69573,-1,651733,886104,-1,425045,514756,-1,-1,-1,-1,933472,-1,-1,-1,906051,-1,495499,-1,153579,-1,928066,86107,-1,-1,508074,701276,876510,-1,754815,571607,-1,165613,-1,-1,-1,-1,-1,-1,526922,825538,-1,814134,224733,45888,-1,540052,577499,573225,-1,844967,-1,70971,-1,-1,698372,692441,-1,-1,355886,-1,-1,640353,-1,128017,126877,-1,521258,197929,-1,966491,-1,865950,66851,938458,-1,-1,616240,491531,-1,893704,346121,-1,474204,579887,-1,-1,-1,-1,-1,181098,584433,-1,612341,734021,947128,-1,-1,-1,748487,-1,962091,-1,-1,-1,937144,-1,-1,508279,60330,-1,491099,139670,-1,850085,273697,962010,-1,-1,317759,169252,385999,78090,301991,-1,-1,-1,503668,54365,260047,-1,-1,-1,171563,418203,-1,-1,824905,-1,844675,-1,-1,-1,-1,-1,364140,-1,621044,-1,433797,277879,-1,377751,-1,121838,786074,349007,-1,-1,-1,-1,631246,473500,-1,-1,-1,-1,871514,414416,22017,-1,405219,-1,-1,-1,288478,117403,-1,694231,-1,-1,-1,-1,774960,-1,-1,956889,374033,588438,928416,840231,678951,-1,467342,515243,515700,97901,81021,-1,-1,125210,283361,176831,-1,-1,-1,844894,606815,-1,-1,-1,518224,-1,810069,-1,-1,-1,-1,140577,-1,23947,-1,449056,64243,666314,789595,-1,-1,-1,-1,-1,-1,580278,-1,-1,-1,-1,661984,-1,-1,805372,757834,-1,-1,532569,-1,734574,636543,-1,-1,461095,74928,310544,-1,544200,-1,19469,-1,38576,-1,-1,-1,-1,-1,-1,-1,-1,705144,-1,-1,-1,-1,-1,-1,353736,101453,-1,-1,226729,-1,314382,-1,-1,337714,-1,788524,369074,-1,514129,-1,-1,30891,212632,-1,856445,-1,898066,258399,-1,149873,184206,794409,200790,-1,644381,289444,278371,-1,-1,632074,-1,91378,-1,51107,60506,325507,-1,728287,-1,791732,-1,796816,404857,881139,-1,688748,720929,-1,-1,-1,725614,649986,678107,-1,-1,996836,311015,-1,814450,-1,56844,4035,256792,781332,980195,-1,-1,-1,995420,205392,-1,644584,542955,-1,557634,641586,-1,543619,-1,-1,-1,-1,864713,720022,608350,97896,808594,457894,78665,13667,-1,524559,-1,-1,882778,-1,693584,866243,-1,-1,-1,-1,124678,434021,-1,667741,-1,-1,761421,924301,293766,667967,128001,315025,331550,717389,935539,-1,-1,-1,405085,-1,-1,-1,982607,-1,-1,832823,-1,208584,-1,-1,-1,716606,42084,774354,-1,42159,341506,-1,-1,682850,-1,-1,-1,82433,872595,-1,-1,-1,309858,-1,452748,643024,-1,140944,900668,-1,-1,957630,-1,-1,-1,994248,-1,-1,305842,-1,50792,185490,-1,-1,-1,-1,89848,352629,27950,-1,-1,766300,-1,-1,883540,488469,563813,275948,910836,-1,821524,-1,-1,482863,-1,-1,-1,-1,-1,504632,100522,442098,-1,702904,173966,-1,-1,94861,-1,-1,257522,95866,644036,290148,-1,-1,321454,128381,-1,218425,170667,-1,-1,-1,-1,409742,-1,84613,-1,-1,-1,-1,876982,-1,963879,208706,-1,-1,810261,-1,919269,-1,-1,-1,754732,310132,953969,112698,-1,-1,220668,-1,-1,-1,617149,993330,-1,5458,-1,-1,-1,511813,858792,110562,776088,-1,-1,-1,864692,-1,165757,149959,-1,135737,936772,-1,-1,726667,714672,-1,867011,681254,895018,-1,-1,-1,795768,-1,787353,-1,550057,338809,-1,327270,184415,29668,-1,864401,-1,-1,230372,811428,-1,167698,-1,292616,-1,-1,-1,-1,-1,-1,929047,-1,-1,719245,520272,-1,-1,374426,-1,473613,813084,-1,82040,95480,402968,319612,318740,-1,-1,-1,595767,-1,-1,582547,-1,858118,381451,-1,992301,128254,-1,-1,-1,-1,-1,-1,-1,352702,-1,109577,185085,-1,386900,-1,488018,-1,-1,926612,-1,747893,223130,-1,977802,-1,710558,491246,454583,689706,-1,548871,-1,-1,680050,800869,-1,-1,909979,295232,-1,-1,-1,490571,833995,-1,-1,-1,487188,-1,-1,329397,350665,-1,-1,253691,-1,-1,-1,158493,372356,723657,649153,-1,874722,-1,665656,-1,-1,-1,831944,-1,-1,831441,-1,769977,619531,917448,865225,-1,593199,559553,701798,645257,-1,-1,647034,150298,2437,-1,-1,-1,871185,-1,1588,577126,-1,-1,608617,74430,-1,969130,61229,799835,633706,837153,336575,160195,-1,-1,771599,-1,795037,-1,133402,56264,-1,366845,646297,-1,-1,392204,866394,674712,-1,-1,503290,-1,-1,-1,-1,401869,-1,96839,35690,-1,-1,945494,595908,-1,651505,-1,903774,984318,-1,-1,-1,-1,-1,193469,-1,-1,-1,-1,-1,145510,-1,-1,-1,-1,-1,793286,-1,120,919923,-1,-1,618794,866063,491895,-1,992286,-1,768939,302607,-1,23712,900622,-1,-1,744680,-1,774305,237538,281079,-1,-1,-1,877226,503071,-1,-1,-1,-1,192434,-1,-1,56134,456202,-1,67138,901078,-1,-1,-1,-1,910520,664597,155543,-1,-1,499257,55794,-1,-1,-1,924735,-1,-1,565620,663060,-1,218254,398221,242302,-1,-1,83385,-1,407586,-1,-1,214179,-1,905219,496941,-1,563165,88466,-1,56690,932212,54603,786783,394199,289082,319329,593358,-1,-1,-1,788131,-1,744173,509055,683769,-1,910288,557881,-1,304671,-1,-1,295141,-1,939166,-1,-1,971162,-1,149492,930111,188557,-1,888890,-1,607753,-1,694768,-1,-1,-1,176600,689655,-1,-1,21953,-1,81719,228267,361075,-1,850095,-1,-1,406754,-1,-1,-1,-1,737190,792204,-1,-1,592867,-1,-1,629205,676059,-1,48516,-1,-1,862829,958280,389201,-1,-1,-1,-1,-1,-1,278459,961919,16089,122785,-1,622864,-1,730890,892136,-1,-1,577520,-1,336996,226666,-1,137802,297433,637232,612316,281087,-1,-1,-1,-1,-1,995364,-1,-1,-1,-1,176715,572732,-1,799379,485678,-1,-1,-1,690196,695439,850315,-1,700361,-1,-1,-1,-1,576611,-1,-1,-1,-1,729435,877239,178800,530421,-1,-1,806062,-1,-1,328949,-1,-1,596734,-1,-1,601171,-1,471376,930281,-1,-1,780347,-1,334901,-1,432523,501588,-1,147813,935220,-1,-1,-1,534508,867515,387063,-1,-1,67989,158392,825603,-1,982492,-1,809996,-1,-1,-1,202064,-1,238589,644338,396198,-1,984155,-1,785187,-1,-1,-1,-1,-1,-1,-1,503942,361971,564402,156806,-1,229735,325811,-1,340580,-1,-1,300924,561916,-1,83676,527991,968117,-1,207235,392319,-1,387034,142427,-1,935410,228466,-1,712601,701748,-1,948314,-1,-1,-1,-1,632289,601429,167095,206536,-1,381629,-1,295148,-1,643128,123162,574258,28968,8060,-1,-1,-1,401986,377657,-1,-1,-1,273508,-1,443507,-1,-1,-1,671431,592841,-1,-1,328116,-1,472610,920268,434783,-1,-1,-1,749701,-1,-1,904141,623703,-1,-1,-1,192664,-1,-1,286403,-1,412578,929000,39565,-1,299714,-1,-1,-1,847939,-1,51214,935370,39184,-1,403805,11485,237787,-1,-1,-1,-1,120967,243081,-1,700463,740807,-1,271063,654202,975097,-1,-1,500873,-1,129660,468527,400695,-1,607926,261979,542523,622452,-1,636841,681618,186501,-1,-1,439622,-1,138294,-1,-1,343989,262355,-1,-1,-1,-1,796992,-1,-1,983927,935646,-1,-1,-1,146982,678036,-1,-1,962588,-1,351847,-1,652783,521286,240094,-1,930097,460273,-1,-1,-1,-1,946721,-1,339958,205258,-1,47869,-1,287298,781355,919178,82443,-1,-1,-1,999890,-1,-1,-1,-1,537783,-1,-1,528728,-1,546721,987111,-1,-1,-1,-1,-1,34848,-1,-1,653793,681353,-1,267829,-1,616065,-1,603345,288677,353735,-1,-1,-1,154743,-1,-1,560779,776256,-1,-1,-1,-1,500091,-1,194264,-1,244532,173818,894104,319367,-1,667121,850150,542313,996077,-1,795246,27246,261779,-1,33049,384060,-1,227450,206386,344441,-1,-1,599537,-1,901178,-1,-1,-1,-1,779014,-1,-1,-1,-1,12203,-1,269066,200776,-1,-1,-1,69221,45287,408711,-1,-1,-1,832470,-1,-1,841659,-1,375476,584041,-1,-1,-1,-1,-1,-1,514820,-1,453587,448073,301564,-1,-1,-1,158115,141171,-1,-1,-1,540426,842378,-1,-1,464533,595752,797293,573198,438050,-1,-1,-1,980173,916750,207689,-1,397776,915751,-1,-1,-1,-1,701537,985615,903100,-1,-1,-1,36408,990741,-1,86828,-1,-1,488276,-1,341654,-1,35466,-1,449016,-1,205996,356519,-1,-1,-1,-1,542678,505313,702937,45252,-1,-1,-1,-1,-1,-1,-1,-1,-1,527984,145907,-1,221742,253621,-1,-1,-1,356558,-1,-1,-1,332455,-1,-1,-1,428364,-1,-1,-1,-1,-1,-1,807494,-1,-1,86504,-1,-1,-1,516304,596560,480951,-1,-1,-1,900963,390958,-1,-1,-1,266496,80622,-1,730524,659357,-1,410607,-1,-1,699746,920544,-1,-1,28009,353306,-1,-1,660930,-1,925735,660343,43143,-1,-1,938382,-1,676310,-1,-1,-1,-1,-1,831154,107660,-1,-1,-1,38663,-1,-1,-1,-1,862588,-1,163297,-1,-1,243522,-1,119952,391658,326555,768868,-1,419132,-1,37639,-1,57796,-1,-1,-1,71421,-1,114982,-1,148345,-1,625315,497246,-1,-1,455591,334423,226608,178232,313804,956747,-1,365972,-1,294356,993351,-1,457252,-1,-1,359182,879993,-1,-1,-1,-1,996765,45226,-1,-1,-1,767988,390404,-1,984574,-1,-1,-1,403025,-1,723019,-1,686744,254040,559717,-1,-1,-1,-1,635321,-1,-1,954609,-1,-1,-1,-1,-1,239078,-1,-1,686758,-1,409033,618437,887949,573168,375949,609905,9575,-1,-1,-1,521103,-1,-1,425681,839182,-1,150736,695598,944806,-1,-1,191495,560616,-1,542871,-1,-1,256513,-1,570122,-1,932227,-1,-1,-1,-1,-1,-1,27749,458799,332640,605573,-1,-1,-1,-1,-1,-1,151522,309577,31855,949968,479798,-1,-1,875002,27824,72154,478203,842062,614812,927833,-1,561488,-1,990801,-1,954160,28381,122669,964275,-1,-1,272669,-1,820929,-1,-1,666908,-1,-1,849478,-1,235114,26449,-1,676858,914589,-1,612756,-1,279825,-1,978503,-1,-1,466266,780518,-1,-1,286472,431227,774307,-1,971576,-1,-1,571650,-1,900384,543690,-1,936482,-1,359899,924702,374325,-1,190177,289841,-1,707733,-1,473673,-1,913362,-1,473895,-1,-1,-1,944536,959167,563321,-1,-1,-1,-1,163219,-1,67463,168516,499002,-1,-1,-1,-1,655427,967428,928812,-1,665594,-1,78182,-1,-1,995361,-1,271478,-1,-1,745106,69338,-1,410976,-1,-1,-1,-1,-1,58953,-1,593688,-1,-1,-1,-1,-1,-1,-1,975973,139423,-1,-1,208293,892169,-1,510831,-1,844396,567658,960510,-1,883441,952109,-1,-1,15461,966960,-1,-1,-1,586346,170004,357414,123384,498163,-1,793124,-1,716332,-1,22513,117154,437204,244629,-1,-1,-1,474118,-1,-1,856893,824233,77311,-1,-1,147929,949480,779104,-1,-1,-1,-1,-1,-1,-1,698980,-1,-1,860853,-1,-1,234288,-1,-1,707229,819903,240067,367072,-1,499428,-1,-1,-1,-1,40672,-1,202966,-1,34825,675680,754779,-1,182825,209168,213428,-1,938979,535609,974843,-1,-1,-1,944959,999007,-1,-1,629650,-1,991448,-1,-1,395311,-1,675933,-1,-1,-1,502347,292275,117782,-1,735579,-1,597423,-1,-1,-1,-1,-1,-1,403379,443824,-1,582692,385473,-1,161658,-1,-1,-1,65194,361788,-1,237176,-1,-1,509201,996408,590822,-1,-1,114148,495092,-1,385974,-1,215212,975622,-1,436824,-1,292727,-1,-1,521024,522839,365461,747767,-1,-1,-1,529826,392166,43945,184640,157315,284125,-1,-1,450175,-1,130797,-1,49982,31803,29216,-1,-1,191810,532465,-1,495043,-1,-1,-1,-1,-1,730911,408598,581524,162975,907878,-1,-1,953128,-1,65914,896466,-1,-1,-1,-1,455799,909838,3092,-1,984421,-1,180215,-1,803381,-1,309380,-1,-1,-1,-1,680110,409478,367253,-1,-1,236287,-1,-1,924494,-1,-1,101828,-1,133394,-1,938465,109657,729487,576951,984510,255415,-1,140007,-1,27195,487260,-1,532859,-1,-1,538557,63558,-1,971446,-1,704069,50692,407258,941686,103465,-1,304237,56061,-1,-1,-1,-1,-1,756631,35323,-1,-1,-1,411476,393546,824955,236544,-1,326392,431878,-1,-1,-1,-1,-1,-1,-1,-1,603184,748528,-1,-1,589697,667453,-1,145275,-1,-1,482120,772929,-1,36428,222894,149018,370598,-1,426220,651217,811668,236167,-1,-1,544334,-1,460311,-1,-1,-1,-1,425168,-1,-1,-1,993243,202606,-1,-1,913516,-1,-1,-1,909486,881218,587878,-1,-1,907832,791463,574038,-1,172452,33457,-1,-1,-1,-1,-1,-1,631482,488122,-1,-1,-1,819341,674724,215985,-1,675891,563326,-1,-1,47668,275950,-1,-1,-1,893078,621391,968296,-1,-1,245608,-1,-1,921667,-1,234657,493927,980933,-1,-1,-1,-1,28906,915131,870470,-1,630080,37993,-1,302515,-1,-1,-1,-1,574997,904481,22252,853677,287737,433568,537526,-1,-1,654892,949659,982477,747711,131481,267526,-1,827497,208186,665484,-1,249911,-1,-1,260177,787090,602793,-1,-1,868890,-1,180826,-1,-1,-1,-1,-1,9015,-1,218813,655845,795538,93133,-1,298406,-1,408606,725775,-1,741545,192098,-1,-1,-1,-1,-1,15467,-1,500871,-1,98486,314333,359003,-1,716105,110504,750896,-1,352604,473541,-1,-1,-1,219850,560664,-1,-1,969094,-1,187673,-1,-1,406273,495588,924413,-1,-1,481789,249365,331676,-1,-1,-1,334532,-1,173620,-1,-1,-1,975798,748946,616752,-1,-1,841091,-1,714043,-1,-1,-1,654992,-1,-1,978713,585287,637977,613151,-1,218279,-1,627672,-1,-1,-1,935717,-1,158631,849471,-1,465567,313923,-1,231165,290040,81136,-1,-1,10533,89501,738400,-1,573566,298771,-1,27813,242033,-1,-1,605152,548547,-1,-1,538144,-1,-1,98709,551198,-1,118284,320369,-1,115506,-1,-1,47268,-1,256442,-1,618324,-1,-1,682876,973908,-1,-1,218367,150182,423582,-1,-1,717372,-1,-1,-1,886580,687550,903715,-1,411531,-1,417808,329523,73412,571899,-1,-1,-1,-1,956382,-1,-1,-1,-1,316997,-1,-1,332893,-1,-1,-1,-1,470256,552743,935776,824661,-1,799337,662022,-1,748710,87569,463962,-1,-1,-1,981833,718528,103933,962409,-1,-1,708139,-1,-1,14640,158976,-1,-1,-1,987729,-1,-1,-1,-1,150983,-1,-1,27869,379812,465528,-1,-1,118021,581719,-1,57400,686701,-1,-1,-1,281146,-1,-1,925771,-1,328764,-1,-1,61410,-1,-1,126057,-1,-1,-1,446514,821473,-1,89604,412328,619579,-1,-1,-1,-1,-1,-1,-1,233175,-1,419381,700494,-1,118290,-1,-1,119189,890022,104577,536953,60218,385118,713073,-1,739056,928852,-1,-1,693521,-1,-1,347421,185891,-1,442533,-1,875279,-1,635319,527026,-1,434298,-1,-1,-1,182544,830216,-1,238949,-1,138494,967301,510018,239468,730375,-1,161075,-1,232344,853885,560679,228529,724212,871084,960561,-1,644367,-1,746159,-1,-1,-1,-1,10666,66411,-1,-1,276165,679370,478897,-1,-1,119803,-1,-1,392797,-1,-1,582050,-1,369033,443277,-1,763698,428403,335163,-1,-1,926958,272821,865610,981159,-1,605534,14041,253362,-1,-1,-1,-1,700149,914452,-1,-1,871687,-1,541486,49677,-1,-1,-1,214520,407403,771248,338602,-1,459264,85595,215325,-1,-1,-1,-1,-1,-1,-1,408216,491076,-1,949730,-1,157041,-1,-1,949708,648404,-1,800120,-1,-1,571063,-1,-1,-1,823447,-1,-1,259824,659526,-1,818597,-1,-1,402199,950167,907147,-1,-1,-1,-1,580134,290171,-1,-1,-1,264583,-1,516938,218652,343646,-1,596388,316391,-1,-1,705434,527462,4058,894932,769757,614897,-1,-1,-1,-1,-1,-1,-1,-1,650959,-1,213653,613772,-1,288370,-1,809247,-1,800174,297776,522928,25168,12860,168517,-1,-1,-1,321766,773828,-1,-1,636334,381498,652961,997122,-1,267754,782751,882017,-1,-1,-1,-1,-1,207817,-1,392979,719557,573390,341807,874169,-1,58624,168291,256294,131510,738933,866068,446554,-1,-1,593830,612858,-1,-1,-1,687979,646169,-1,495594,-1,-1,-1,-1,-1,872627,-1,942355,140333,-1,-1,-1,670808,-1,-1,986024,142057,-1,802888,-1,-1,330167,234880,675442,6205,-1,-1,24768,-1,-1,95951,341499,-1,635192,794801,630948,461508,123431,-1,-1,551403,-1,9560,-1,-1,75741,-1,-1,294403,-1,318816,-1,580665,789529,735959,352473,-1,-1,-1,-1,928870,500532,-1,992535,-1,-1,-1,-1,-1,419870,929043,-1,-1,-1,583057,-1,37189,-1,-1,-1,-1,-1,-1,392047,833265,654762,409468,413785,699581,-1,418663,988527,-1,624117,671329,107821,-1,132721,79531,-1,389169,635650,-1,706695,518039,-1,-1,759584,295152,439478,748136,-1,-1,-1,-1,88257,727889,-1,527524,351531,-1,-1,420874,-1,-1,62842,-1,-1,-1,-1,-1,-1,162624,-1,-1,-1,-1,560454,937630,-1,-1,-1,186582,237396,335881,213879,-1,445738,36086,-1,-1,700241,-1,-1,475008,261350,-1,-1,521197,-1,-1,-1,359722,-1,222975,864204,921908,734067,812430,-1,-1,837700,247451,-1,-1,-1,-1,-1,964204,225819,-1,-1,-1,334655,368925,-1,-1,124224,662658,-1,-1,10783,645303,782500,199384,474462,803180,605705,995268,-1,-1,-1,138351,768311,814671,-1,-1,767291,-1,691259,-1,-1,928621,-1,625039,-1,346071,172090,22093,152291,-1,-1,-1,928530,-1,272062,926162,-1,-1,-1,95243,937026,884286,-1,-1,-1,389136,788317,-1,598424,764893,53598,-1,432425,83020,-1,-1,984589,903114,-1,210194,-1,-1,-1,-1,-1,-1,-1,-1,996794,766046,-1,-1,410550,-1,753843,570531,889546,206762,-1,309728,-1,-1,-1,743751,86386,-1,331635,670746,-1,30878,-1,519413,57741,158609,-1,-1,335121,-1,-1,-1,701381,613571,-1,541368,-1,849501,-1,343222,536970,-1,-1,-1,-1,40727,152777,-1,-1,101863,367947,-1,-1,490376,-1,334970,144518,-1,-1,479194,545801,435153,-1,-1,143526,373224,-1,-1,-1,747366,166604,429884,-1,-1,808641,-1,325498,7062,483180,436258,-1,-1,-1,220458,-1,-1,360415,-1,533994,228338,-1,219789,390295,563186,-1,-1,-1,-1,-1,572311,495265,-1,177110,383207,522478,61645,-1,435919,-1,108409,298892,716726,-1,423116,-1,742843,-1,773355,-1,572296,-1,-1,-1,-1,881972,620350,325761,873183,-1,816498,-1,-1,-1,-1,-1,-1,-1,378937,669085,674441,188849,503728,-1,-1,-1,359113,938099,-1,860851,-1,419566,-1,27757,160012,750058,43122,829765,-1,-1,551665,-1,-1,-1,-1,-1,721376,681059,-1,160700,84633,-1,469923,-1,60318,-1,86037,626749,947177,942696,910006,-1,-1,-1,591151,-1,-1,-1,77921,636992,315964,634533,-1,-1,455896,485378,-1,829871,323746,476647,-1,-1,788654,981449,218946,984137,103587,352630,291662,675261,-1,438815,601794,-1,-1,-1,-1,-1,-1,-1,-1,-1,503072,-1,843800,490775,751814,-1,-1,-1,699098,-1,-1,-1,844500,-1,-1,298356,-1,304023,-1,-1,-1,665466,349194,481131,479612,-1,37895,-1,-1,-1,338265,866174,623735,-1,-1,-1,570130,2154,64762,103905,-1,503112,695041,274337,577369,-1,-1,931759,44880,-1,567521,315812,-1,-1,-1,777055,927985,-1,-1,639121,488332,406995,362099,-1,-1,-1,-1,675650,-1,-1,-1,635878,83997,-1,-1,670672,-1,970931,-1,-1,-1,-1,146928,984771,246243,413413,-1,60557,-1,-1,562373,306527,589108,-1,-1,-1,-1,-1,-1,782981,-1,996832,470995,984162,492672,154019,819890,-1,-1,130576,-1,-1,-1,-1,-1,214810,302262,-1,217058,246157,776106,494874,655668,909029,316358,624199,208150,-1,-1,497160,-1,323852,-1,669308,-1,137242,112588,627845,452695,648759,59746,980824,783993,278758,205816,350344,-1,-1,-1,572362,770613,-1,-1,271853,858668,-1,477974,706252,-1,754438,-1,609589,297639,-1,929030,664558,422187,683559,926964,-1,9180,-1,233243,-1,-1,-1,886654,441215,-1,-1,392216,68600,-1,256506,-1,206326,112312,132561,-1,517918,-1,-1,387379,-1,-1,627940,-1,687530,344620,572903,898606,927721,-1,815976,567656,622103,-1,-1,860597,62980,-1,51854,760989,-1,253118,-1,759507,-1,460343,-1,-1,-1,775546,-1,-1,219759,605882,-1,-1,-1,5530,-1,660990,-1,-1,-1,-1,-1,-1,-1,551178,977719,-1,757730,877077,703446,596639,-1,204051,651522,-1,710526,-1,223099,-1,-1,338419,816253,-1,-1,-1,262918,-1,563818,-1,455395,-1,-1,-1,42047,524909,642635,-1,834975,-1,504311,-1,-1,-1,165178,520363,890714,105820,-1,-1,-1,20173,-1,-1,162096,-1,-1,-1,212643,-1,526412,-1,510420,393292,-1,225009,474215,-1,826093,-1,550143,269317,-1,131642,58826,461963,-1,-1,-1,-1,-1,150267,-1,653487,138774,468691,-1,550189,886244,193463,192404,975588,-1,420677,274675,650725,653860,-1,-1,-1,-1,-1,-1,-1,775326,-1,-1,267516,994180,-1,-1,-1,-1,212418,-1,-1,-1,486604,-1,652279,791609,109417,228115,965833,378282,-1,-1,-1,-1,-1,608189,326617,111578,-1,-1,326514,-1,158200,-1,-1,611855,628019,424078,-1,509498,208184,24261,908252,-1,436667,-1,15181,665243,-1,290242,-1,-1,-1,321111,-1,73836,-1,-1,-1,-1,834697,-1,-1,-1,451253,645092,71950,-1,-1,482699,453917,-1,-1,-1,658998,723169,106317,-1,-1,-1,-1,4280,340874,-1,718158,817104,-1,-1,842424,175970,352003,530724,-1,-1,-1,62888,515688,-1,745164,-1,978762,-1,163707,-1,744936,522460,-1,174872,642171,482047,-1,626781,16481,-1,685741,-1,-1,-1,-1,-1,-1,-1,114055,196431,910350,444085,-1,701142,-1,-1,-1,-1,-1,850336,-1,-1,-1,535904,312966,675549,304305,-1,-1,-1,594681,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,823078,-1,57399,-1,-1,-1,374361,735334,-1,-1,635683,280314,531037,610519,588980,907571,137881,-1,489276,453890,-1,-1,614497,159802,-1,501794,66249,-1,255379,718145,487067,534327,515205,-1,-1,-1,-1,846415,761757,863234,168613,-1,-1,-1,615909,611964,673608,-1,469818,463210,183128,48173,206309,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,250396,273247,368449,589008,496519,-1,231090,-1,744804,395632,865587,776699,505559,-1,918407,-1,-1,-1,851802,-1,399348,156291,-1,44497,314642,333174,616974,-1,48717,-1,558786,-1,735707,-1,171474,-1,565171,-1,-1,928939,522348,727589,-1,-1,-1,-1,-1,146486,-1,-1,696891,416200,-1,530150,524921,322858,411734,334318,920147,890948,750592,811453,-1,813207,-1,-1,-1,372105,34067,366781,-1,-1,979449,604252,-1,-1,440970,101546,-1,-1,-1,149934,579524,-1,592955,605850,99446,-1,-1,-1,-1,99133,-1,-1,-1,-1,-1,-1,949348,937948,220638,658015,187358,-1,531160,534883,-1,-1,672882,951417,-1,-1,136035,-1,-1,142928,984205,787349,-1,274065,-1,-1,913327,-1,-1,914462,-1,-1,431758,-1,-1,138839,-1,-1,728197,429630,405646,913444,-1,365930,859804,-1,-1,-1,-1,825911,-1,225343,589392,153897,61100,-1,9932,-1,104669,714581,-1,972579,212964,-1,-1,-1,169077,-1,-1,323658,184710,-1,345516,-1,260932,121784,60226,-1,992533,22690,66376,-1,203763,-1,-1,966160,-1,722027,-1,197365,410371,-1,-1,-1,-1,-1,-1,-1,880455,172366,-1,803225,45459,189316,573172,-1,679319,-1,968292,888276,-1,-1,215305,925942,-1,656871,-1,235738,579355,-1,-1,744591,663380,-1,830136,806486,-1,122719,-1,932396,-1,346690,501431,443686,104338,-1,-1,-1,-1,-1,-1,-1,-1,24604,-1,638529,337922,-1,-1,-1,-1,-1,-1,555085,-1,-1,612952,537123,634709,-1,-1,-1,224541,-1,342183,199629,148375,313872,631965,-1,654830,-1,746877,-1,-1,-1,-1,503382,-1,137920,755705,-1,-1,405609,-1,-1,553132,-1,156449,789355,131539,126546,-1,938539,275110,870477,259286,-1,596999,181584,-1,-1,811231,-1,57937,-1,-1,890618,-1,-1,674013,-1,-1,365541,205451,959986,-1,-1,-1,56928,-1,-1,124645,-1,867308,758164,-1,-1,752666,868223,117484,769610,542800,233066,-1,597412,-1,-1,855819,-1,-1,-1,-1,138603,167005,-1,-1,-1,854470,842860,-1,-1,-1,647462,17875,-1,895011,-1,-1,32827,614635,814396,-1,174018,957946,996214,368335,189566,-1,-1,526820,18483,-1,-1,-1,242182,498988,252186,-1,355896,-1,-1,383718,250061,-1,324874,562138,647620,-1,45707,239084,-1,396372,788243,-1,-1,757107,-1,198197,-1,334000,397923,307934,160916,-1,-1,-1,47507,-1,-1,-1,238955,282500,759035,180145,759402,-1,575689,-1,131273,-1,-1,-1,-1,-1,-1,-1,-1,808946,111015,306435,-1,714145,-1,633838,304338,-1,-1,-1,243153,-1,882681,212919,-1,514217,-1,412544,920907,-1,458961,3100,-1,-1,-1,557169,787564,356304,-1,828910,758469,-1,966413,-1,-1,517372,-1,-1,-1,-1,-1,-1,-1,-1,67708,690315,181620,876178,440506,519203,23801,-1,746541,-1,-1,384664,-1,-1,999771,901637,-1,92772,-1,-1,-1,-1,442241,566098,-1,-1,788176,-1,558568,933211,804742,-1,-1,833792,-1,148909,380317,-1,236757,51999,131207,-1,-1,237982,-1,619476,570221,-1,432041,-1,594390,564087,-1,-1,-1,-1,896959,-1,677829,-1,-1,210657,323079,-1,-1,307438,887079,-1,-1,210243,-1,-1,598395,-1,114727,-1,-1,-1,299249,865347,-1,109125,53374,-1,329110,768386,762622,937360,-1,237063,-1,-1,564027,788627,30418,784451,279338,145862,600068,-1,625116,-1,-1,447163,676259,361121,-1,-1,809763,651234,-1,646080,-1,898724,-1,-1,-1,450050,-1,-1,-1,-1,-1,615699,-1,-1,-1,950523,375402,462880,-1,-1,-1,-1,372400,-1,970728,-1,-1,-1,754392,400739,-1,545865,-1,-1,683426,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,85142,-1,6761,524166,-1,-1,-1,251510,-1,-1,-1,339785,333300,-1,647446,-1,-1,-1,-1,-1,-1,-1,339963,314812,615600,712774,-1,-1,545310,-1,694605,-1,450312,169058,140547,509367,-1,-1,942630,849165,-1,230148,-1,-1,837642,686234,562673,-1,-1,-1,766435,-1,-1,641233,-1,999717,275488,194034,796453,893724,131772,941571,816607,-1,-1,-1,-1,834636,83231,-1,210169,254500,-1,249931,-1,-1,93621,-1,-1,-1,-1,616013,32798,985372,-1,-1,-1,-1,340349,-1,-1,887436,-1,-1,-1,-1,-1,553065,3558,745967,-1,61635,10322,813840,-1,-1,-1,7773,490728,-1,-1,703635,-1,-1,-1,125968,174612,-1,189198,-1,-1,-1,-1,-1,-1,107646,567252,879904,-1,-1,833883,-1,648534,595323,-1,-1,-1,-1,553663,308976,-1,993152,264101,861415,-1,709742,821717,325752,-1,402916,-1,420595,-1,-1,805986,-1,269340,888614,-1,933243,41031,-1,694113,-1,-1,-1,-1,-1,-1,609989,904982,-1,854151,-1,-1,904990,38657,-1,328077,388596,-1,-1,-1,-1,735893,392862,-1,216981,245899,-1,-1,116917,-1,-1,381684,-1,886426,438528,667057,303741,516737,-1,-1,-1,925866,481683,265354,-1,-1,580411,-1,-1,983974,-1,-1,373789,-1,347895,699151,-1,252637,647765,-1,3244,210272,144059,892329,779083,349264,-1,942029,520000,-1,946603,932741,256708,196688,877935,612677,-1,476510,269297,-1,335583,-1,-1,-1,234113,-1,8804,110957,963284,-1,-1,193514,220675,509958,908126,136582,804754,507993,385175,-1,-1,-1,399519,546100,172248,-1,560387,-1,-1,123239,-1,-1,-1,662253,-1,-1,-1,759396,143151,669190,-1,509842,67620,738802,439895,-1,257492,-1,-1,-1,727568,809699,42459,-1,-1,426796,-1,965844,-1,-1,185802,958877,634157,199214,-1,-1,369619,511206,-1,-1,-1,651704,-1,151638,155751,-1,-1,788275,455586,-1,-1,949533,-1,-1,-1,725979,685637,253034,993555,695200,-1,-1,176541,126986,-1,444683,76529,-1,239889,225432,480864,944061,568779,920213,-1,-1,-1,15003,685854,225010,-1,158102,122350,-1,-1,815739,-1,-1,-1,456429,-1,-1,-1,-1,-1,947160,-1,340598,-1,883184,818568,-1,-1,179880,19397,76263,628999,-1,834147,-1,-1,244091,694024,-1,476570,-1,759963,355925,-1,456831,95824,-1,434251,-1,350685,482989,944501,745859,-1,918241,933633,-1,-1,659588,19445,251972,-1,-1,-1,-1,463099,-1,537342,-1,307603,414085,-1,-1,-1,476730,-1,-1,687549,-1,-1,-1,-1,607577,-1,403982,488434,-1,542679,-1,6398,613912,209363,640706,-1,-1,635270,200936,-1,109736,-1,220877,-1,-1,-1,509268,155308,448321,584449,486595,-1,-1,135505,113107,456097,202428,-1,-1,358681,194861,84391,-1,42772,321995,-1,619204,-1,-1,-1,583218,-1,540693,431384,533695,299240,-1,263777,607435,419372,-1,-1,930648,-1,-1,-1,328451,-1,405509,392946,547025,-1,-1,485974,-1,-1,-1,360645,735460,-1,526224,454375,507298,-1,489927,165043,59639,294256,191427,848145,-1,-1,-1,79217,-1,-1,599134,334952,982501,422824,-1,476296,-1,-1,330456,-1,-1,-1,-1,968527,754447,-1,-1,863142,893166,-1,122869,-1,322903,727317,612134,-1,-1,-1,-1,-1,-1,834538,803878,706352,319706,-1,353162,737922,847154,214209,-1,-1,-1,-1,-1,681570,608391,318671,-1,782992,-1,-1,-1,633902,-1,-1,-1,437002,363375,384704,-1,546175,-1,-1,526458,339537,-1,-1,869115,305831,542403,425247,-1,819318,-1,147551,-1,-1,-1,950115,-1,960522,486652,293470,-1,161451,927200,823048,444494,-1,-1,448701,-1,946959,970600,-1,416830,-1,396617,-1,-1,-1,236027,-1,-1,397445,553092,-1,933875,407918,-1,837198,-1,585069,74495,816427,38187,-1,872989,-1,-1,26276,-1,-1,-1,179868,476242,-1,908802,582532,482418,-1,-1,312811,321003,-1,-1,-1,-1,-1,599538,147167,-1,845987,-1,-1,259118,858051,-1,-1,-1,705069,-1,-1,987222,447300,361954,676453,-1,-1,715266,344146,-1,168190,92266,-1,-1,-1,2962,-1,-1,647888,740704,520932,-1,807349,819168,-1,349867,-1,-1,64700,-1,-1,724949,678224,396814,252309,924519,621566,-1,434606,-1,204868,111642,316818,479544,-1,887844,104421,-1,-1,37855,-1,471192,-1,662452,-1,-1,-1,101336,-1,-1,-1,-1,296994,153545,-1,435482,-1,-1,-1,-1,-1,-1,310000,892868,395829,-1,-1,-1,285732,669368,-1,85732,-1,623248,-1,618482,-1,355528,-1,389626,-1,964152,276406,-1,-1,-1,125901,-1,-1,775294,-1,-1,653670,983341,225110,842006,599068,466243,20459,-1,831040,-1,-1,-1,-1,-1,-1,-1,724798,140203,592450,978938,-1,-1,739149,-1,3106,698280,846599,-1,450880,472271,-1,106834,240261,39688,713561,-1,551622,427192,187201,-1,-1,795330,-1,507273,302962,579755,-1,-1,-1,-1,109104,-1,731645,990033,-1,688825,-1,-1,147383,-1,-1,-1,825194,-1,-1,-1,998299,-1,-1,245228,-1,-1,-1,-1,527572,-1,640987,76262,-1,652695,-1,283643,-1,476396,-1,281167,677318,697127,-1,-1,973215,-1,-1,-1,-1,902023,768344,261818,464497,-1,770246,-1,-1,658332,-1,-1,305951,634818,855138,828255,978974,91994,797701,394555,-1,-1,-1,428910,494377,-1,8565,-1,-1,131237,832166,135277,-1,918440,854204,-1,-1,-1,184322,905732,875390,-1,268029,-1,203928,-1,37461,121847,-1,32722,-1,519021,32320,-1,793794,439230,33173,314145,524852,933170,-1,460904,-1,-1,197458,-1,793070,-1,-1,762788,93398,910347,738736,572590,868748,-1,-1,-1,-1,-1,-1,-1,424676,940637,984010,146186,922127,230871,56242,-1,-1,-1,-1,141243,822810,-1,607466,193193,-1,217365,136034,-1,-1,943333,-1,264283,-1,838129,-1,-1,234157,-1,-1,-1,-1,723285,-1,533201,-1,928944,297002,339786,-1,-1,-1,-1,906031,909942,554865,-1,-1,-1,247652,-1,-1,337732,235292,-1,-1,-1,90946,714861,-1,-1,407216,607405,-1,896161,-1,535476,276012,-1,-1,88357,287176,148115,501891,-1,90395,-1,716311,538645,678328,449975,-1,804427,648022,-1,992836,468062,-1,291454,-1,805296,954317,999620,8682,-1,531198,-1,871376,624675,-1,-1,610817,-1,-1,161208,-1,-1,514867,-1,-1,-1,-1,684567,313119,-1,-1,-1,152868,190602,-1,952282,-1,866545,-1,49475,-1,988780,-1,-1,-1,-1,-1,868789,-1,-1,931346,483890,294625,-1,381867,302852,-1,874621,306211,-1,-1,621422,-1,-1,763959,-1,458130,-1,-1,-1,843552,-1,-1,427177,23830,-1,385383,69199,-1,95399,-1,384321,-1,825884,-1,729989,619843,-1,289678,-1,-1,-1,-1,-1,-1,-1,-1,370596,579147,619455,-1,-1,-1,427781,-1,658496,859822,421012,-1,837721,291601,-1,229717,-1,499219,672960,848752,-1,97191,-1,645690,-1,238320,-1,617676,526807,-1,795124,957611,657112,470678,820399,239344,88693,953708,620943,663335,833957,-1,-1,-1,-1,-1,677712,679601,-1,275366,-1,721176,-1,-1,64596,-1,-1,400466,588056,710715,415524,82748,223547,-1,-1,624427,74797,-1,746154,784779,-1,152243,-1,239710,-1,-1,-1,811828,-1,-1,554983,649940,278853,-1,217062,292315,53982,-1,402319,254159,715194,819620,-1,-1,-1,-1,734350,217186,751940,-1,799087,259146,3802,48710,504734,-1,-1,-1,-1,-1,975542,447010,303473,-1,289385,-1,-1,13111,306212,361354,929725,-1,-1,-1,378664,-1,-1,-1,833787,389861,-1,-1,381710,-1,467201,-1,711900,465208,-1,894607,331883,-1,249116,-1,774293,579131,-1,950250,425632,-1,-1,251112,763923,-1,-1,974055,-1,-1,-1,-1,-1,333844,269159,901555,-1,469673,-1,-1,590426,-1,-1,-1,44710,-1,747182,-1,784253,954320,894645,-1,-1,-1,-1,-1,60340,137957,-1,-1,-1,224269,-1,-1,-1,-1,530159,-1,626939,990268,122078,-1,-1,-1,-1,-1,-1,-1,-1,380523,471274,-1,-1,-1,-1,488369,996264,-1,353347,124190,-1,-1,927941,-1,-1,-1,834198,-1,519992,-1,-1,474302,-1,-1,382111,-1,-1,560970,295806,738292,-1,-1,-1,146209,-1,-1,856604,387098,791698,-1,166579,429252,388043,323547,51967,-1,656852,-1,459726,-1,-1,774110,794797,14286,196260,48376,162727,489464,156588,823033,853683,226758,265739,-1,906984,-1,-1,-1,-1,-1,-1,-1,-1,557248,-1,880361,-1,-1,-1,-1,702788,826587,-1,178724,-1,-1,10834,494207,-1,963837,320499,596951,1916,-1,-1,-1,505797,-1,859409,-1,269969,-1,18176,496387,-1,-1,251305,294520,-1,-1,785701,429196,262596,-1,-1,-1,571822,-1,-1,997610,-1,693724,697813,-1,525331,-1,855141,333072,744089,447124,-1,-1,-1,-1,186580,-1,587983,426242,-1,401712,-1,30916,-1,-1,730367,-1,-1,-1,-1,204725,721889,-1,737620,-1,-1,601433,-1,-1,713250,-1,-1,-1,431988,909163,548935,-1,-1,-1,797315,-1,242446,435271,777517,724873,912370,-1,903708,519350,856774,143052,-1,21460,663512,901576,285062,245079,642619,237742,816783,799157,943126,114183,914096,-1,-1,-1,-1,99588,-1,-1,-1,828185,637546,632795,664675,875474,-1,800392,-1,165662,-1,737870,-1,979689,101420,-1,356914,530791,258959,-1,125448,-1,-1,-1,58890,-1,184056,-1,-1,-1,868779,-1,-1,387444,46500,809332,-1,101193,-1,51084,101622,713577,535008,-1,-1,606874,900887,-1,793685,921136,-1,-1,-1,992587,-1,-1,410705,-1,-1,-1,-1,-1,-1,281353,513806,673819,446345,18286,-1,294119,760050,668592,3107,-1,365717,-1,-1,-1,-1,807037,-1,936521,-1,-1,101016,-1,155503,-1,-1,575985,896346,523662,244128,52527,471619,-1,255030,352393,-1,654900,-1,876418,-1,-1,614451,-1,981886,767032,779441,543211,-1,-1,61383,-1,347802,-1,-1,991383,641907,200732,433283,480545,506524,-1,653440,62991,-1,-1,813141,-1,-1,-1,-1,-1,421331,-1,-1,-1,116662,375653,-1,619658,620039,-1,-1,-1,72801,-1,-1,703247,930426,126695,749198,809297,-1,-1,-1,-1,-1,-1,-1,-1,229077,-1,-1,-1,330796,431901,-1,-1,-1,433270,-1,-1,-1,639437,500471,-1,334422,-1,414931,-1,854788,127567,201355,-1,-1,796850,251369,-1,-1,-1,185319,760550,-1,-1,474807,-1,-1,-1,-1,363177,130614,-1,-1,605467,12610,484457,925987,187599,70123,480183,979439,-1,836714,-1,-1,-1,606322,-1,647468,-1,-1,380491,-1,496050,164843,-1,-1,-1,29745,-1,256853,-1,671966,679804,389694,-1,-1,-1,-1,260169,141910,62917,-1,-1,84349,-1,-1,906166,398691,212090,-1,-1,-1,154008,902896,953445,334349,401571,730531,596239,-1,75444,-1,553934,903576,376558,-1,970442,366946,-1,199220,-1,-1,-1,-1,149890,-1,-1,-1,152811,48175,821163,-1,-1,326132,-1,-1,-1,-1,132943,-1,922697,757364,111153,947240,625470,-1,-1,128780,559112,401107,-1,-1,269350,481697,331734,-1,-1,-1,-1,420516,-1,-1,601588,-1,638474,-1,-1,151904,-1,514419,128226,-1,-1,624435,-1,-1,416779,784678,-1,512024,138107,-1,682725,998936,183901,526298,-1,230872,-1,234021,853826,-1,-1,-1,-1,626578,-1,-1,-1,182012,399274,-1,-1,-1,-1,847885,937445,-1,-1,308224,-1,-1,513959,-1,-1,-1,43061,-1,386205,-1,-1,58449,-1,-1,-1,403537,982884,-1,643472,525014,987107,-1,835877,205241,-1,366796,-1,-1,650000,577506,-1,-1,69062,626993,551893,897520,-1,753619,169669,902384,425407,673186,-1,946479,973079,-1,848103,221361,151558,790366,-1,22054,942368,680984,-1,-1,818416,34503,-1,390665,458175,-1,107764,-1,-1,-1,-1,-1,-1,721435,455219,325648,-1,-1,-1,-1,-1,-1,-1,273023,-1,746563,424102,-1,937614,-1,149273,35988,-1,701805,-1,-1,402177,-1,51894,-1,588836,357782,-1,72596,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,744185,-1,169796,-1,-1,750615,964511,94276,438264,-1,-1,961475,594736,434874,516860,214797,-1,84947,-1,-1,-1,-1,608493,137362,548407,-1,-1,198220,980523,-1,-1,691125,742345,542509,424911,-1,-1,-1,-1,43546,-1,951434,-1,-1,-1,-1,469386,926578,-1,312342,609285,810583,844052,279937,206995,161924,-1,805632,-1,393329,223548,-1,-1,-1,-1,431176,300782,483047,203431,-1,506339,471381,114042,-1,-1,604344,-1,-1,-1,-1,806055,-1,190923,-1,-1,-1,-1,-1,873537,-1,-1,653834,840884,-1,255467,-1,375703,-1,137950,605099,910755,997021,73920,-1,-1,433169,-1,384087,-1,-1,830865,65113,440748,-1,34805,-1,-1,352217,-1,-1,765630,-1,327268,-1,40503,751612,-1,-1,-1,387809,107022,-1,538306,183816,639616,-1,337075,-1,394383,721221,356986,-1,468971,218326,339142,717993,-1,-1,-1,106900,-1,405854,-1,-1,815081,473039,-1,95132,-1,-1,-1,-1,-1,785290,-1,726311,505350,159752,709970,592475,-1,380091,907801,269864,-1,-1,560913,696401,332239,782139,-1,-1,-1,-1,-1,-1,-1,-1,144269,940666,153505,-1,-1,-1,-1,-1,-1,-1,577536,153367,282725,142431,220185,725429,-1,304683,-1,-1,-1,770207,-1,542910,-1,-1,-1,-1,-1,-1,702977,605849,-1,621140,-1,-1,355475,-1,-1,941920,988053,-1,275536,31316,486847,-1,643026,428139,-1,-1,628560,-1,374974,-1,555152,809212,705523,-1,-1,17684,-1,-1,603583,-1,3458,403447,652889,859709,298677,-1,331662,695036,133847,290608,-1,-1,-1,519833,70879,661593,-1,-1,-1,-1,-1,276379,-1,55940,-1,-1,-1,-1,225315,956033,-1,320632,902848,-1,-1,-1,192095,-1,785481,580793,484803,-1,-1,669598,423436,-1,-1,884398,-1,-1,-1,190484,881323,333516,-1,201246,-1,285745,-1,-1,924543,-1,-1,717064,80696,801037,708621,250755,104872,540241,831037,2790,643093,-1,254021,-1,-1,118189,-1,143389,-1,-1,-1,211939,-1,874057,969792,1481,-1,-1,890425,-1,-1,761886,-1,577885,-1,495748,-1,-1,-1,423128,863434,818164,-1,-1,450329,965751,-1,-1,291121,-1,551516,-1,339408,-1,-1,-1,6544,-1,558885,598728,-1,-1,-1,12038,-1,616402,48029,973069,-1,-1,-1,63326,165160,-1,-1,848605,-1,278655,-1,-1,-1,-1,-1,645327,-1,-1,689462,210372,-1,-1,-1,-1,151706,454867,-1,52441,-1,388202,399954,-1,644577,-1,770773,626,956652,-1,-1,-1,-1,-1,68784,997007,-1,-1,912555,-1,937011,-1,-1,256432,891716,578311,722526,167122,-1,905694,623881,-1,-1,770307,-1,-1,529287,851370,578523,-1,-1,-1,350845,-1,253885,978436,104163,-1,582088,-1,-1,604866,-1,633938,62740,361256,-1,688341,655634,442517,-1,-1,109804,-1,112608,549030,185262,95122,-1,-1,-1,-1,-1,-1,-1,841629,835052,-1,-1,334931,-1,-1,-1,630419,335725,-1,396086,-1,-1,823887,-1,-1,230662,656902,9751,-1,-1,-1,84650,-1,-1,383933,-1,72741,568344,-1,891813,-1,86848,-1,12894,-1,976700,-1,831850,956640,-1,-1,568508,393585,446626,-1,576414,349262,-1,797364,-1,42135,689028,-1,730637,887419,-1,878684,483493,500710,530143,746121,-1,-1,338770,53958,-1,-1,-1,-1,-1,335433,-1,341398,99665,608640,-1,927453,-1,993058,-1,941187,244619,499711,-1,-1,304934,-1,540326,-1,-1,-1,-1,-1,-1,632923,-1,809350,-1,-1,166226,259991,-1,10714,-1,-1,28227,69258,-1,-1,538256,656055,-1,-1,922611,-1,-1,-1,-1,-1,-1,436674,-1,457068,-1,-1,973333,-1,-1,-1,803945,-1,220553,-1,297392,273801,-1,36123,817902,-1,-1,459217,460639,-1,487054,267410,274336,-1,-1,602845,544915,809919,423090,115315,-1,931024,-1,568489,87980,-1,-1,142772,-1,-1,958548,-1,-1,768497,408391,845832,343579,-1,-1,-1,120704,-1,-1,-1,-1,-1,989059,-1,648014,862305,-1,-1,-1,838438,732643,-1,798127,-1,-1,58352,245384,427907,836452,-1,-1,29482,634577,-1,440983,346889,-1,-1,-1,-1,-1,-1,526354,727149,266472,615942,-1,-1,361381,60818,-1,-1,740135,-1,947473,-1,-1,-1,728431,-1,728223,986107,-1,-1,954976,-1,478954,-1,-1,-1,-1,-1,41224,180502,534102,285153,849583,961749,-1,747963,-1,-1,434459,-1,-1,-1,30329,854549,-1,-1,298784,-1,-1,-1,-1,727664,882605,-1,221058,-1,334740,818300,-1,756560,-1,63053,137033,662502,-1,761375,-1,122736,-1,510932,327390,-1,-1,219332,40849,-1,524330,962469,-1,382476,-1,-1,-1,-1,845819,-1,384880,336856,753067,824968,421874,-1,725195,-1,-1,42111,38242,860364,61019,-1,-1,-1,-1,-1,133314,519745,-1,-1,681178,-1,77875,-1,-1,994150,824575,-1,90288,-1,823661,993477,946257,553420,-1,-1,-1,832154,802631,-1,-1,-1,849915,301399,-1,292937,-1,409339,864366,549254,500485,130088,407174,-1,-1,784261,-1,866570,109770,-1,-1,829577,-1,2541,-1,43379,-1,523976,866751,755419,-1,-1,318039,-1,-1,791934,-1,654662,-1,192496,708875,-1,823222,776744,-1,659043,295752,-1,552803,81689,-1,-1,-1,-1,-1,255308,545805,285495,-1,-1,962645,-1,-1,-1,218663,535623,-1,-1,-1,35395,600932,-1,773864,-1,-1,-1,239008,-1,-1,-1,262033,-1,640338,-1,-1,629399,-1,962316,541484,923082,113489,-1,-1,-1,874178,564345,-1,-1,-1,871973,25165,-1,-1,775096,-1,112257,-1,-1,158831,-1,574921,20250,34449,-1,916558,964583,-1,-1,-1,-1,-1,-1,986179,66625,-1,934835,702228,471869,379500,-1,-1,-1,-1,255086,-1,-1,869363,147530,510454,-1,700363,433096,775423,183997,209078,-1,139485,-1,-1,487288,321446,-1,99803,-1,837957,193288,-1,-1,164304,615203,341918,703068,569663,224515,-1,705270,670317,-1,521016,-1,-1,855246,-1,-1,975615,-1,323962,-1,-1,18857,-1,-1,-1,440292,313503,75236,865876,781503,326674,355738,962552,-1,525084,831643,-1,-1,591564,233346,236498,-1,-1,740530,750189,-1,409757,122866,-1,-1,203706,816121,631972,-1,-1,-1,-1,-1,208566,600419,769688,637274,-1,-1,-1,543290,685554,-1,-1,724595,-1,706363,444344,141653,949923,-1,145718,-1,-1,832885,159380,367222,122604,730020,-1,599544,-1,-1,60447,-1,415494,944313,-1,518641,689247,887900,100786,-1,-1,109153,-1,563750,-1,919070,-1,762503,-1,-1,-1,-1,-1,-1,450721,973762,-1,-1,-1,914104,537311,-1,342325,-1,-1,-1,-1,-1,-1,512743,-1,-1,829634,-1,-1,-1,532325,-1,13094,-1,614111,277564,-1,345091,-1,612755,-1,-1,-1,409408,-1,912462,572850,619295,813635,-1,-1,-1,-1,-1,718656,627989,809548,120753,706562,178696,39509,-1,-1,-1,-1,-1,-1,953004,850513,619744,-1,324190,-1,-1,90597,-1,-1,-1,-1,382011,-1,-1,972054,-1,913260,861812,744853,590816,646059,-1,-1,-1,-1,-1,-1,-1,170867,13668,976697,-1,532340,-1,432796,-1,433567,-1,677677,557077,-1,-1,-1,-1,948656,-1,-1,-1,914174,-1,689295,168024,-1,-1,-1,647928,-1,376270,-1,-1,-1,277744,662170,918609,-1,440411,835050,-1,74185,-1,663031,-1,182438,-1,574798,915891,623447,313372,-1,-1,690843,44429,-1,-1,-1,-1,-1,-1,-1,-1,486820,-1,29271,-1,982927,-1,254563,84000,-1,-1,995238,-1,70178,910467,-1,-1,205664,46502,-1,96006,442397,-1,-1,549199,448624,160586,-1,802189,-1,927053,-1,-1,-1,534514,-1,-1,523036,-1,118968,-1,-1,-1,503895,-1,-1,-1,735021,620481,845469,-1,921610,949700,-1,571196,989651,-1,-1,-1,-1,662055,956879,-1,871263,723595,693814,395180,-1,638272,511451,-1,535910,-1,-1,375848,300518,779842,649984,627821,129562,706839,-1,-1,-1,-1,-1,-1,-1,888436,498263,-1,931713,-1,302304,-1,861387,205673,-1,651058,-1,-1,499348,-1,263710,-1,-1,-1,54658,350279,-1,140120,-1,-1,881708,-1,-1,-1,257188,471401,397126,621448,941384,111190,-1,-1,-1,909761,235422,400011,-1,83209,491804,-1,886461,-1,470488,-1,385027,-1,559689,33165,148579,-1,852301,406916,-1,846764,548197,-1,947956,-1,-1,247850,-1,-1,-1,316698,-1,980159,-1,958104,-1,602859,-1,980938,440543,696282,-1,165066,-1,-1,173484,490461,955988,-1,718469,-1,-1,934056,-1,798897,-1,-1,-1,-1,-1,753770,107028,621999,413638,32919,-1,-1,-1,-1,-1,-1,649397,-1,398711,487889,55498,-1,-1,-1,769881,-1,-1,-1,-1,-1,976386,490387,-1,601936,82679,-1,93582,410720,-1,-1,244808,46001,-1,-1,-1,-1,314577,168619,382952,85262,-1,-1,-1,872735,398491,-1,-1,-1,804414,94436,-1,460786,-1,634557,681283,406251,-1,226917,499229,-1,-1,64656,452600,-1,-1,-1,-1,-1,-1,648303,603229,-1,359147,-1,707607,351582,-1,346629,-1,16475,-1,403193,798757,129302,723366,-1,-1,-1,288596,821681,710557,-1,-1,-1,789361,-1,-1,-1,498043,386971,881027,-1,-1,633791,-1,-1,536885,165088,417437,400542,-1,-1,745446,271614,325860,14287,-1,840940,714841,-1,995418,-1,-1,-1,508104,-1,-1,-1,-1,-1,60003,828568,809717,-1,-1,877561,463375,-1,-1,-1,714797,-1,869023,910874,365119,-1,707376,-1,175453,-1,-1,-1,341210,-1,103674,-1,553852,-1,-1,-1,923113,-1,205882,-1,414683,-1,864382,222346,934581,869195,-1,381936,-1,935718,-1,-1,-1,167496,767293,-1,409353,571195,-1,-1,458596,-1,-1,737493,863340,713494,641067,-1,141,892146,-1,219760,952292,-1,-1,-1,-1,-1,-1,-1,-1,-1,837426,-1,-1,173850,585164,-1,697156,-1,89950,337462,-1,-1,973752,-1,-1,875309,-1,-1,829954,-1,-1,-1,-1,-1,709594,153667,779493,689335,398138,2731,-1,661241,-1,-1,295166,282511,970267,926237,14081,-1,-1,-1,-1,117436,466561,-1,-1,-1,-1,-1,696304,808158,-1,603263,450020,-1,236515,-1,103944,206332,81870,-1,-1,100798,742675,-1,-1,750966,249433,798759,-1,-1,-1,140215,-1,-1,-1,742806,277548,-1,40237,762231,209577,745703,-1,151448,-1,-1,-1,-1,-1,-1,-1,-1,501134,778764,779105,-1,932631,119763,-1,561053,444772,679064,-1,749139,535293,-1,-1,-1,-1,727656,-1,666891,-1,777283,-1,-1,-1,-1,-1,-1,-1,-1,761649,78724,-1,815445,-1,-1,467145,66597,-1,-1,-1,-1,620320,203604,-1,-1,722439,-1,-1,514610,387595,-1,287517,-1,-1,-1,-1,-1,491058,-1,732692,147442,26764,-1,895454,759941,-1,690514,948138,289849,-1,-1,-1,-1,-1,-1,603944,701478,402081,-1,-1,933460,-1,-1,186076,256948,757377,-1,-1,-1,765652,658196,-1,472846,215648,380063,-1,179471,-1,145851,656340,-1,-1,-1,-1,-1,193133,996336,405148,-1,696905,946469,-1,-1,220357,309598,904496,-1,-1,588164,-1,-1,-1,-1,244850,-1,-1,108529,747600,169664,72001,-1,-1,-1,-1,-1,614068,-1,-1,585449,202449,-1,658360,675712,86759,804694,-1,669863,895114,769374,52114,-1,464675,-1,428170,-1,-1,-1,687590,124103,-1,-1,758799,996167,602399,-1,-1,680157,970034,393117,-1,813820,-1,659057,-1,-1,-1,777594,-1,524379,36454,-1,-1,-1,-1,-1,394396,-1,-1,693643,99963,538857,-1,153565,877871,302247,-1,-1,448172,571764,392748,983009,-1,971737,-1,-1,-1,848460,838645,-1,453088,453389,227178,609555,181012,849790,926687,-1,-1,734921,-1,-1,-1,56456,-1,85745,-1,-1,777109,966805,-1,-1,991144,-1,332227,100380,-1,86984,-1,-1,-1,-1,854839,-1,696875,87155,576442,827657,785780,-1,-1,-1,-1,-1,943996,197317,949327,670144,750769,-1,628943,-1,-1,-1,253047,-1,-1,207956,404805,370956,999291,177513,-1,-1,-1,433689,662578,-1,-1,73221,645565,159834,-1,-1,-1,-1,53653,-1,418092,95036,453075,697880,849517,-1,-1,-1,-1,-1,599573,-1,943898,188350,21811,295686,580575,167143,-1,-1,-1,694875,-1,626043,-1,362495,812748,-1,-1,771408,-1,401699,-1,221811,-1,-1,-1,828083,505896,303145,28752,-1,476721,801641,-1,-1,501608,-1,-1,-1,-1,362458,-1,-1,988152,-1,246835,87058,-1,445921,-1,477944,-1,-1,-1,-1,190972,-1,443327,-1,317693,-1,-1,644692,600909,895968,-1,721550,881817,-1,-1,-1,202158,-1,129100,693444,394446,888631,30583,311666,841691,-1,-1,280395,609071,13966,466981,842034,723459,-1,641583,-1,-1,390856,195124,-1,116641,-1,846492,139421,646930,-1,947804,-1,-1,742523,118506,-1,-1,193382,390852,223608,-1,785964,381295,67665,-1,222073,-1,-1,161645,-1,-1,-1,-1,314421,-1,748009,-1,-1,624686,-1,472768,104109,544027,768957,769337,532735,536711,-1,-1,789563,326614,6899,-1,-1,887153,522965,72011,-1,-1,344881,293703,-1,567613,293704,730022,10871,-1,-1,-1,379683,-1,-1,-1,552740,18044,329269,407388,-1,-1,-1,978058,-1,-1,-1,81593,501753,38379,55392,79849,-1,280188,261745,-1,998099,115923,282463,-1,-1,36489,-1,-1,-1,502218,-1,505950,358030,189691,-1,-1,-1,-1,-1,-1,212972,119307,524393,876617,-1,-1,287932,745111,-1,-1,346494,895970,716903,490605,-1,-1,-1,188843,105612,974190,107873,969797,-1,504396,-1,-1,-1,-1,983819,-1,-1,-1,369073,59082,214295,-1,-1,-1,-1,613094,-1,-1,41787,135506,-1,-1,-1,33119,-1,-1,-1,-1,-1,-1,-1,-1,816293,-1,34905,-1,913628,-1,-1,-1,-1,-1,970310,-1,-1,-1,-1,793411,986125,-1,161625,-1,92727,-1,460908,-1,-1,599047,687006,350520,-1,454755,-1,350608,966680,754670,192743,-1,-1,-1,213201,-1,97510,-1,-1,-1,-1,844334,491286,-1,-1,749504,-1,191420,488687,-1,-1,-1,-1,352458,-1,600069,-1,682893,-1,-1,996199,150879,213862,-1,3469,516547,799234,-1,-1,813050,-1,-1,283717,342585,-1,894692,-1,-1,-1,-1,-1,943603,-1,132081,-1,308306,304659,233769,-1,-1,382734,137801,-1,577154,-1,-1,-1,493354,868448,834740,-1,-1,200339,981338,-1,-1,819939,-1,591230,-1,-1,412491,587786,379763,897489,-1,-1,919233,-1,-1,976826,893712,998579,-1,-1,-1,525053,-1,361904,-1,210418,395561,647505,210950,973241,375695,693072,612185,729574,823282,915804,-1,922723,-1,-1,-1,503962,321164,-1,-1,554190,-1,476726,-1,-1,-1,-1,-1,-1,-1,460718,446634,667787,-1,-1,405285,879226,262144,-1,-1,-1,-1,-1,-1,649350,-1,-1,-1,8974,316683,-1,-1,-1,-1,70544,-1,916059,689685,-1,549750,921784,-1,460778,-1,-1,481716,-1,182867,-1,72029,644977,323216,-1,970611,-1,-1,-1,944011,-1,-1,354142,-1,-1,-1,-1,-1,-1,-1,969357,-1,-1,49286,-1,-1,-1,-1,497476,-1,719916,-1,206263,-1,840248,229043,330931,587433,761990,-1,82512,894051,-1,-1,748989,-1,385562,-1,560383,-1,155314,734931,369354,981869,443344,404000,258407,-1,-1,453653,486983,103942,-1,301473,-1,28316,762811,-1,-1,373381,-1,-1,50133,168262,-1,705511,-1,-1,-1,-1,669958,-1,-1,-1,963261,532082,-1,686659,-1,-1,995331,-1,248988,-1,951481,690680,-1,-1,-1,457441,-1,-1,-1,833183,-1,870956,-1,-1,-1,-1,-1,903207,-1,932695,-1,-1,807990,706206,-1,-1,-1,105706,-1,109727,-1,136625,-1,49080,793125,84753,858271,570462,-1,-1,343457,-1,-1,735304,-1,-1,-1,-1,-1,-1,-1,214489,-1,858740,955791,-1,-1,887227,492356,487523,452901,60938,853079,631292,230425,-1,-1,-1,-1,170216,-1,771422,-1,-1,99608,-1,-1,909603,320255,-1,603785,-1,-1,80080,163679,-1,382864,-1,82575,144659,851492,-1,-1,984245,-1,28571,-1,-1,141543,-1,-1,541346,-1,432085,358832,274553,450671,-1,-1,-1,54154,307132,478053,320441,-1,-1,669888,208163,945743,-1,537488,-1,413409,371570,989618,607216,-1,71271,27887,-1,530135,76066,-1,724973,528673,-1,540923,-1,261055,790133,332925,-1,896573,584559,507882,240131,231086,467074,345105,104039,706801,-1,190418,-1,662694,-1,-1,908256,203608,-1,814742,48771,371429,-1,366370,8000,340030,-1,-1,-1,510158,871310,310277,255481,759712,-1,801594,866530,259272,207260,281818,-1,565476,-1,-1,834009,-1,-1,-1,801236,-1,651145,189870,712826,628742,78414,-1,981673,-1,244747,-1,-1,-1,195430,-1,781252,-1,10332,960027,974053,-1,-1,-1,509390,601193,-1,-1,-1,143056,-1,-1,635102,-1,773540,257345,183992,-1,-1,514805,750081,-1,-1,463301,547308,-1,-1,-1,-1,227156,94550,85555,567886,586,-1,-1,614100,-1,-1,660468,713390,427079,-1,-1,-1,404544,-1,926147,-1,976909,197906,70890,111090,181606,-1,436730,-1,31900,-1,-1,178374,-1,708173,276042,-1,37856,-1,925808,-1,-1,-1,814948,-1,-1,269561,338732,-1,530186,-1,240031,-1,-1,-1,-1,-1,198141,-1,-1,-1,-1,739197,-1,783652,245351,52680,202306,405902,-1,-1,-1,82202,691045,513270,86888,-1,924263,196642,-1,283858,-1,391865,-1,9300,-1,-1,-1,998271,603497,-1,219190,-1,527618,-1,-1,435656,-1,-1,-1,349913,861178,284731,665494,606410,201517,-1,617080,-1,-1,686624,-1,-1,-1,713501,-1,568405,763144,-1,625127,-1,-1,618094,596556,-1,-1,-1,429206,937045,610452,-1,693308,-1,865424,-1,209455,-1,395151,-1,392264,783648,835128,-1,-1,-1,452370,734785,-1,112207,206842,-1,-1,162054,-1,404555,-1,-1,-1,614310,690822,-1,974941,-1,-1,88325,104259,658662,-1,310540,69786,694420,-1,-1,-1,865114,405367,-1,-1,-1,-1,-1,384339,528564,242030,514814,473290,-1,484077,-1,-1,745183,768122,699592,-1,885737,657189,-1,-1,227856,-1,699587,-1,477768,98075,481087,305687,-1,-1,-1,660562,-1,432154,-1,-1,-1,-1,-1,694881,-1,-1,491376,362317,79734,-1,925489,-1,197288,117549,798437,-1,-1,-1,-1,-1,-1,600624,772255,-1,670250,-1,58583,-1,132847,721224,544252,884325,955179,-1,855013,-1,240279,933620,-1,300249,-1,165140,-1,523496,-1,-1,123523,540323,-1,138759,-1,-1,394536,985843,-1,913638,740881,585444,-1,426191,244124,654373,-1,-1,-1,470193,-1,-1,-1,53478,792140,744373,-1,-1,432644,-1,664448,65330,-1,-1,973881,645130,203564,953481,515135,-1,723185,733050,-1,-1,243465,119492,-1,498086,-1,124083,-1,195658,-1,-1,318149,52127,13808,113681,-1,35936,163327,261674,-1,215248,955799,903282,-1,-1,911295,-1,503714,-1,896904,-1,-1,688288,792281,-1,393871,470556,-1,742433,954391,-1,-1,598611,699872,893021,-1,-1,-1,42625,-1,158992,315444,533747,895647,667373,892838,360253,131937,-1,390867,-1,911137,-1,716694,229826,-1,348593,753461,479016,-1,-1,-1,237516,341528,922319,875329,760788,-1,-1,467394,-1,-1,-1,-1,600127,181095,-1,-1,26857,-1,-1,881534,593189,-1,525465,84675,-1,109580,-1,-1,-1,744503,-1,915188,-1,-1,713380,-1,640797,998773,986502,143102,164853,661256,366530,138789,616311,852982,475445,271529,434170,918225,-1,-1,986874,171087,-1,999574,365616,179580,193087,-1,852440,373155,546039,-1,398874,-1,-1,366228,236920,-1,94395,-1,-1,-1,-1,-1,735955,-1,776356,-1,-1,-1,964655,4435,45050,882530,947815,228671,-1,-1,-1,419339,-1,987979,712805,746071,-1,399030,649228,22424,-1,-1,708914,-1,-1,667131,204063,902905,-1,15552,-1,-1,697567,-1,617950,508862,145814,-1,-1,278824,442638,556137,-1,928634,-1,-1,987835,-1,-1,437529,373512,-1,512893,975566,-1,378213,-1,-1,738939,497721,606101,654250,63478,-1,979470,806025,778778,-1,627865,-1,-1,790668,191634,605906,-1,-1,-1,-1,295522,-1,-1,-1,-1,400277,-1,917010,-1,-1,-1,-1,-1,842944,-1,723150,-1,-1,-1,663308,-1,-1,-1,-1,225061,592565,-1,-1,-1,-1,-1,-1,761389,-1,210382,-1,-1,-1,-1,247714,954393,209054,-1,294422,-1,-1,-1,9833,968402,-1,-1,-1,-1,-1,601660,-1,-1,313070,-1,953338,409610,46045,-1,335717,496655,-1,146326,-1,932563,97632,367786,389757,-1,193682,506978,-1,952899,855072,-1,-1,957546,969054,815511,153080,-1,368667,124809,205963,-1,697631,370623,-1,-1,-1,125455,-1,708339,-1,-1,328245,353819,164612,520634,961578,15962,-1,-1,892251,-1,185100,500652,859937,-1,559370,-1,-1,-1,587825,-1,-1,635538,789533,-1,-1,-1,-1,-1,-1,101706,588695,549432,314526,311207,-1,93992,414577,-1,91456,-1,-1,819091,218509,351688,338620,-1,-1,-1,-1,163785,695744,741476,-1,-1,686291,109509,-1,-1,540231,203108,-1,-1,415532,3486,-1,227537,168423,168601,-1,775959,354861,319799,378463,-1,-1,250922,-1,-1,361693,-1,-1,897730,-1,760952,820015,-1,262412,952825,217556,536643,-1,113217,-1,-1,894823,-1,165247,-1,-1,-1,326574,-1,-1,-1,565248,174266,-1,-1,180257,-1,-1,-1,-1,325478,468799,881765,986240,-1,-1,310083,89840,-1,-1,774302,-1,890395,101927,710497,-1,531998,894490,-1,562799,975147,525054,-1,809833,-1,257516,-1,721810,722420,880617,-1,4739,-1,693015,-1,-1,-1,530639,774169,74779,532729,-1,57774,636649,-1,276297,102951,112437,-1,-1,302688,-1,303613,798165,-1,-1,73953,628610,-1,3686,-1,712238,-1,321857,-1,839719,18656,-1,-1,946871,-1,617920,61079,513628,-1,-1,594153,-1,34378,992377,-1,887800,904036,542415,-1,-1,-1,-1,-1,946984,-1,789583,929042,-1,669063,343774,560925,-1,-1,-1,603806,-1,449086,-1,394068,-1,879793,-1,-1,946954,935046,-1,987373,355478,779668,403469,-1,-1,-1,492138,123508,897119,759293,-1,-1,-1,-1,459002,613356,555966,595914,-1,-1,-1,856261,-1,-1,386776,-1,479511,322039,-1,234859,-1,-1,-1,-1,651775,146142,-1,337880,648632,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,60674,-1,220161,-1,330065,926207,74234,145468,837803,309528,-1,921947,462689,363129,549409,-1,986111,-1,-1,151340,949407,-1,-1,-1,-1,-1,171706,-1,-1,235950,-1,-1,-1,-1,712258,712599,-1,-1,459285,663310,-1,106881,-1,-1,-1,502424,428648,-1,268198,818908,486051,-1,381720,-1,343897,429721,-1,752369,-1,-1,-1,-1,-1,674891,-1,332788,160343,-1,423587,-1,268603,-1,-1,86626,-1,605833,-1,-1,248091,467569,870609,-1,-1,867278,497078,358107,494698,647059,865407,-1,87330,229667,-1,-1,-1,247204,-1,343759,767577,805334,-1,81416,-1,-1,376758,-1,-1,-1,-1,-1,262392,-1,-1,-1,-1,573910,856214,111079,438455,717937,99474,-1,-1,513727,-1,-1,-1,-1,-1,848509,-1,-1,884453,730829,776232,280794,-1,-1,340649,236928,-1,-1,313375,-1,823768,-1,-1,-1,-1,289490,633672,-1,488640,385652,226921,814247,-1,-1,-1,-1,442234,893333,-1,183664,471733,276210,-1,209587,-1,-1,379504,-1,-1,345295,316824,584809,-1,-1,561847,499404,-1,342491,283760,-1,-1,-1,145864,210362,-1,-1,-1,107111,-1,-1,-1,859602,-1,-1,600987,-1,-1,756028,-1,660115,526914,366528,781211,719674,-1,424673,-1,-1,-1,-1,671795,213528,-1,-1,234847,394588,771352,-1,833628,-1,125915,295592,59273,391720,-1,-1,113254,836637,236993,219235,948508,-1,-1,158405,-1,-1,845498,-1,-1,-1,524502,-1,-1,-1,519405,-1,728365,406019,155007,919831,-1,39341,-1,917602,-1,203935,-1,-1,966550,39746,-1,-1,-1,74709,926354,264676,518967,-1,-1,760354,-1,-1,356264,653489,653311,720056,283734,410042,-1,143173,112206,-1,418688,-1,494319,741231,166093,-1,368140,167596,18544,-1,-1,-1,66410,-1,-1,730946,-1,79071,-1,-1,924173,72303,-1,-1,-1,-1,379395,-1,-1,101206,5456,256720,431100,-1,533370,-1,123242,703443,-1,-1,144914,-1,-1,-1,462829,571457,159754,-1,657802,-1,110723,-1,-1,-1,-1,-1,793663,976485,-1,-1,-1,90215,-1,-1,-1,-1,-1,-1,-1,-1,107633,-1,834530,798509,45207,665678,-1,687274,753628,-1,-1,-1,62906,664855,-1,406132,-1,872484,909447,679446,891415,-1,-1,520962,751136,228642,-1,974828,94629,406130,670125,154728,-1,-1,-1,-1,712979,-1,-1,129510,-1,548941,-1,749725,598583,-1,-1,305843,-1,278360,-1,804295,950598,-1,152107,545694,969895,-1,-1,-1,-1,608471,-1,942749,-1,-1,756522,257196,12765,221013,533111,163420,598548,-1,224317,-1,-1,-1,937733,-1,863650,-1,919222,-1,522481,195706,-1,-1,-1,-1,944650,75351,348203,741926,-1,-1,-1,69543,-1,231281,-1,288287,-1,565593,-1,-1,755140,761346,-1,-1,-1,266720,-1,-1,-1,440452,870591,-1,565242,724755,-1,-1,-1,-1,-1,778148,-1,-1,-1,568165,71590,751570,-1,296546,-1,-1,583980,493435,8600,59104,685160,546477,-1,776215,-1,-1,-1,-1,-1,-1,806221,-1,-1,-1,-1,813406,-1,-1,265275,971109,-1,549500,-1,-1,-1,-1,127317,-1,-1,154123,-1,-1,-1,-1,-1,287554,-1,-1,476238,938253,-1,-1,-1,-1,990920,-1,-1,-1,131483,691192,-1,656558,-1,423162,700223,761086,760988,-1,-1,-1,80437,808100,457534,-1,160190,982293,-1,-1,991803,-1,-1,-1,681238,783839,687855,-1,-1,971952,85551,-1,-1,548186,3996,124927,521973,482841,766632,-1,398362,-1,661164,-1,-1,603431,-1,730135,-1,955296,98112,-1,490093,-1,571699,368453,328265,-1,573072,853110,548796,105543,508303,817905,154664,496524,-1,-1,520424,225925,-1,-1,-1,-1,609676,-1,-1,217452,-1,620532,-1,-1,399484,971301,-1,147738,-1,-1,-1,533865,722228,897237,104048,363105,816628,-1,-1,-1,-1,300448,479992,66576,-1,-1,852737,-1,387010,226680,-1,191191,-1,465758,-1,-1,316192,659149,-1,486570,897136,8680,357614,155672,34476,91872,913210,-1,644791,871359,493158,520235,-1,-1,-1,891589,598816,-1,476614,-1,915793,15242,692626,-1,-1,123649,-1,456314,570307,-1,-1,758053,-1,298148,444108,662251,-1,-1,296551,284792,-1,248351,294631,955201,330253,-1,148552,-1,-1,-1,-1,-1,906784,-1,-1,-1,767748,-1,863699,-1,926782,358848,884820,-1,619986,-1,-1,-1,318997,-1,279565,609553,-1,374283,-1,-1,-1,-1,-1,3930,732386,-1,-1,779046,546860,326188,-1,157238,-1,-1,551887,187530,-1,-1,-1,-1,716590,-1,836478,-1,-1,407483,-1,-1,840008,675848,-1,-1,50054,294474,-1,346190,-1,-1,724562,231134,-1,-1,668963,-1,-1,-1,420922,-1,843956,37159,-1,741147,788470,-1,-1,572806,868876,380254,-1,-1,586631,445600,-1,-1,109590,443557,-1,283374,939076,-1,-1,-1,-1,-1,854673,-1,-1,-1,38096,71752,743992,351616,-1,-1,-1,627323,-1,349652,-1,-1,296975,756114,-1,512750,-1,-1,61523,602462,192588,-1,647910,902352,56480,447967,971403,405113,-1,139973,543344,738761,231897,-1,166778,680001,-1,334090,-1,-1,-1,320297,876309,287626,-1,-1,-1,-1,-1,232649,-1,-1,-1,-1,802517,-1,-1,102863,-1,-1,-1,364502,-1,-1,598747,-1,709433,-1,-1,563870,-1,985853,-1,828801,-1,217099,90119,-1,-1,-1,-1,820671,526710,115453,-1,-1,262951,292559,-1,556849,-1,-1,-1,-1,210601,952413,-1,130812,-1,-1,-1,853407,-1,938294,523284,69868,223669,118332,585978,-1,448375,-1,691252,-1,-1,-1,-1,-1,-1,-1,-1,316490,719345,-1,274627,165492,-1,77834,998340,260089,556957,172125,207810,675538,542145,153589,255616,-1,-1,624819,553752,-1,315846,505174,-1,150312,314681,-1,750692,-1,84555,-1,862089,-1,849243,-1,-1,814534,807364,-1,-1,142112,613154,390449,-1,-1,-1,-1,67140,368196,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,206156,-1,-1,456780,554142,-1,43619,62601,214989,400012,621022,-1,-1,-1,-1,54679,-1,-1,725228,-1,779535,328120,959456,-1,-1,648423,-1,143521,-1,609028,-1,438336,-1,-1,775924,73644,-1,-1,-1,303552,196951,759341,95295,436918,249238,296535,340252,-1,443549,255183,-1,-1,443932,-1,854311,884795,-1,835863,-1,-1,992211,-1,-1,-1,806566,-1,-1,-1,166776,-1,-1,444276,-1,-1,-1,-1,-1,648240,537715,-1,964470,-1,-1,342697,-1,961807,-1,-1,365931,632644,-1,388705,278525,-1,686106,597523,-1,-1,902850,430604,931742,647864,364244,708824,261800,220531,64899,833901,941620,837765,-1,304389,-1,572404,531625,875015,415220,457302,870178,-1,-1,-1,897375,603210,513558,-1,-1,821269,590107,-1,-1,-1,-1,488455,-1,498256,-1,-1,-1,-1,44960,657057,974866,-1,446580,322642,-1,658417,81675,367478,780356,-1,699579,217175,-1,-1,-1,743138,212693,155272,-1,943658,638126,-1,119559,254702,-1,-1,625929,847579,-1,565294,-1,148419,383368,455483,-1,-1,-1,-1,392485,-1,-1,-1,3758,361429,887104,272518,880956,700549,398445,197829,-1,774111,613662,291647,-1,935056,-1,965247,739000,359291,990292,-1,-1,-1,-1,322916,565454,709735,531346,-1,503390,-1,-1,-1,812801,-1,-1,28860,915739,-1,-1,-1,565370,-1,978901,96803,-1,631650,468770,618230,618922,52575,224063,260483,862962,873002,85431,240793,532821,-1,-1,336680,267688,-1,856464,-1,-1,-1,269476,-1,-1,874044,824452,629714,-1,705175,524487,618416,-1,153925,-1,-1,-1,824815,-1,72465,-1,826450,-1,893153,141706,-1,-1,-1,-1,-1,978619,-1,195462,-1,999039,578171,551179,-1,-1,552752,25722,-1,864398,-1,620461,323086,437951,720272,-1,-1,321394,-1,-1,-1,-1,184118,193575,857278,201003,144622,-1,554031,-1,-1,837103,-1,953495,-1,-1,-1,-1,-1,-1,185918,-1,552271,282621,-1,-1,-1,302037,542804,957172,292745,-1,-1,765511,485402,343581,-1,-1,232296,27050,-1,-1,-1,959998,849803,-1,-1,-1,113937,683537,-1,926343,357789,387674,662924,249975,-1,876551,434551,-1,770474,-1,-1,-1,-1,508109,-1,-1,4607,226551,270938,366088,952846,-1,511413,46759,213711,490358,966086,71154,854394,707161,907434,887712,-1,-1,-1,-1,-1,-1,556565,235075,810094,-1,841729,-1,867244,-1,-1,923178,-1,696696,231408,583137,873360,-1,477246,832777,261909,-1,-1,844815,-1,-1,714176,480482,601554,-1,-1,219753,521603,933412,215931,-1,47346,91901,-1,567515,-1,-1,260251,-1,141142,12006,834329,-1,-1,988318,-1,912240,320786,-1,-1,-1,-1,280016,165308,650929,-1,985009,-1,-1,-1,108608,71974,147857,151073,-1,394210,288157,776853,529987,857446,-1,-1,540263,-1,-1,892056,834816,87064,-1,363459,-1,389368,51119,900638,510111,385060,-1,593736,-1,-1,370912,276723,-1,684172,564605,379407,-1,459945,-1,731248,-1,-1,929055,570587,-1,-1,625963,-1,-1,270081,-1,-1,133551,425233,411781,-1,558763,822577,-1,307709,302872,523069,-1,-1,702509,-1,-1,653750,188740,195002,-1,-1,-1,-1,539655,209895,522902,-1,418460,511881,-1,-1,-1,42806,170634,953043,-1,871175,976034,681993,-1,109760,384076,749770,-1,15182,76075,-1,-1,797888,-1,642319,548990,656799,-1,-1,1193,-1,-1,186430,-1,-1,-1,356573,973099,691374,405375,-1,-1,-1,-1,758825,817452,-1,252490,-1,643791,268994,-1,198690,870928,212297,-1,-1,-1,405934,829273,-1,144112,-1,-1,-1,-1,-1,-1,-1,874142,-1,946064,597805,901770,307790,-1,372561,-1,-1,-1,636456,-1,-1,11879,-1,176903,806091,-1,-1,-1,594112,986156,-1,-1,274820,570148,968455,-1,771874,299163,699327,-1,514109,677214,335449,-1,156514,-1,381837,-1,-1,-1,548980,415659,-1,-1,211859,-1,-1,453721,282907,-1,-1,-1,-1,847821,-1,495141,-1,455870,-1,959282,524557,548687,-1,-1,981072,-1,-1,-1,-1,518216,310218,89334,-1,-1,270425,830586,831084,-1,202146,-1,840518,-1,-1,-1,-1,-1,763918,-1,-1,-1,239677,-1,-1,-1,150600,-1,-1,-1,267495,39880,-1,-1,-1,-1,10027,667269,466831,355080,991742,520391,355491,-1,-1,252839,-1,90437,743038,747705,-1,393182,-1,324616,64421,-1,-1,353464,-1,866882,-1,-1,-1,5608,-1,666092,912106,7092,252139,-1,-1,-1,120773,-1,382055,-1,-1,25027,-1,59745,-1,493139,617668,752236,-1,-1,318697,289794,-1,-1,988859,-1,-1,207719,852740,817424,464202,-1,423397,664889,-1,288628,-1,75957,722170,134753,-1,501135,-1,-1,-1,-1,161738,877460,-1,-1,594151,-1,858315,-1,620770,-1,-1,573275,-1,460943,-1,74582,377646,-1,-1,-1,895344,-1,-1,574164,-1,-1,-1,-1,534043,279978,-1,709667,364289,-1,-1,687294,391613,-1,-1,-1,136469,872845,574767,-1,783774,-1,-1,-1,71013,-1,-1,-1,348291,26055,-1,-1,-1,-1,-1,-1,133484,-1,-1,647634,714924,718366,-1,-1,-1,-1,-1,-1,977607,-1,-1,103491,873563,403365,393034,261218,-1,954311,773899,366979,-1,425538,430593,139709,822153,-1,838870,-1,895764,-1,-1,350766,181910,912005,340816,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,209605,-1,803065,-1,884568,-1,-1,-1,685450,-1,-1,-1,437238,-1,824537,-1,-1,460024,-1,-1,-1,722229,453831,-1,-1,-1,-1,180613,108245,79786,215427,-1,-1,-1,597637,217072,583000,-1,57422,-1,-1,890920,-1,967855,181707,-1,239633,338327,594722,-1,-1,446706,-1,114599,914066,892591,968101,95643,670175,-1,-1,-1,83850,276029,698268,-1,-1,-1,739483,549400,-1,735171,913920,918463,-1,967315,-1,-1,786533,-1,15587,-1,-1,235530,932715,447253,937433,293611,-1,-1,551407,-1,-1,-1,56813,-1,-1,-1,670154,54708,75938,-1,15098,-1,-1,-1,-1,258036,-1,952749,745399,-1,-1,380287,-1,-1,-1,-1,-1,947884,-1,67008,-1,-1,375049,-1,-1,-1,-1,137328,657193,-1,321211,862353,395590,921362,-1,-1,-1,210041,-1,-1,-1,898246,375327,665778,-1,589313,-1,-1,881824,-1,-1,-1,451,-1,-1,845235,-1,974312,893275,395383,149455,-1,372704,-1,-1,241154,638934,690446,494845,-1,-1,-1,251328,-1,500137,-1,797495,149903,754777,-1,758213,998845,68405,-1,-1,-1,-1,-1,557479,154335,174676,-1,990409,-1,-1,-1,277629,75586,-1,-1,409935,-1,-1,-1,-1,545537,-1,599874,-1,-1,823502,242265,840451,275629,-1,-1,-1,-1,-1,596707,834328,-1,704851,-1,-1,769268,293172,-1,441738,122205,550784,-1,-1,508939,123202,18126,167996,-1,-1,705211,-1,273418,-1,904498,299052,-1,670657,-1,-1,-1,693827,-1,712476,-1,42357,-1,-1,-1,-1,-1,44690,874198,917000,-1,-1,771922,64164,-1,-1,-1,-1,456477,-1,-1,-1,-1,-1,-1,-1,-1,124909,488968,-1,-1,954137,831912,-1,-1,-1,475540,-1,-1,-1,110876,-1,-1,78454,-1,337627,826727,109583,-1,-1,-1,-1,782848,-1,-1,409015,-1,112173,642459,-1,-1,422573,-1,-1,-1,72918,316094,-1,-1,603591,718017,-1,-1,862931,299503,-1,-1,677827,594305,-1,-1,297591,692138,-1,-1,503601,-1,-1,-1,283233,206176,885143,-1,618246,530908,140348,992772,588002,526057,716668,131103,82229,-1,-1,413391,-1,-1,-1,-1,-1,557530,557790,-1,890481,485927,-1,-1,-1,956538,-1,-1,694100,-1,-1,949295,-1,725726,-1,-1,741279,-1,129948,-1,-1,-1,870501,541552,851284,-1,336100,884317,-1,974626,-1,708501,634497,-1,-1,-1,949249,-1,-1,103240,-1,493374,986487,460931,338402,-1,-1,269260,882163,-1,-1,653606,-1,-1,413026,-1,19521,-1,717876,61049,84550,-1,797537,49617,559760,252422,82607,-1,-1,147782,594292,583101,6209,902904,-1,831649,-1,880541,151215,514399,502947,972338,-1,579280,-1,145928,-1,122291,-1,631747,255266,965032,371580,-1,885589,40621,569435,-1,-1,-1,-1,533876,42980,589541,-1,27466,-1,792273,-1,424079,384679,147082,-1,23275,-1,787404,-1,-1,992632,745311,-1,821822,146021,-1,-1,672071,-1,229373,692412,843870,-1,-1,32272,-1,-1,48439,-1,-1,-1,46864,-1,408306,-1,-1,-1,372139,767758,540278,387747,-1,736076,377613,289510,-1,-1,-1,-1,-1,135232,313676,-1,-1,692314,-1,-1,874326,-1,896349,671597,825297,-1,-1,910345,852813,702383,828983,-1,-1,827382,-1,176278,424110,849325,-1,-1,-1,406275,707122,272160,303134,-1,-1,-1,-1,152349,-1,-1,147184,944998,-1,476463,-1,968707,-1,414057,189392,-1,309162,523511,-1,592217,988691,-1,-1,-1,-1,215275,-1,-1,-1,-1,651936,720653,-1,-1,-1,-1,-1,-1,91281,-1,-1,376040,-1,171988,-1,-1,-1,740044,446232,-1,382742,-1,-1,-1,465250,258437,-1,85995,810146,-1,624028,-1,588091,195299,-1,-1,-1,-1,850726,419290,-1,-1,-1,-1,634402,761513,-1,-1,22428,-1,190696,-1,741743,447681,-1,796055,407043,-1,-1,392613,-1,-1,-1,590543,-1,-1,379472,-1,-1,955399,178361,282750,-1,-1,649530,-1,-1,444749,-1,-1,152730,-1,32461,-1,300265,-1,35520,-1,73632,567242,343852,-1,816162,786259,161399,403172,135158,-1,281761,94960,-1,234835,779055,30072,-1,-1,585761,418702,-1,721173,493590,-1,-1,652842,-1,544463,-1,858992,293839,-1,-1,-1,774171,804982,97800,582263,835124,-1,-1,39541,-1,245739,860840,28694,-1,390632,872741,-1,-1,326037,53136,435155,-1,799118,881611,459150,-1,961821,-1,502214,-1,817549,-1,410982,-1,912648,-1,-1,748620,-1,886642,562335,-1,164181,851318,60611,779557,-1,-1,572542,-1,346085,415050,243331,483237,523859,-1,542751,367781,-1,15154,-1,441600,643308,246871,-1,727832,-1,178808,-1,-1,282947,248256,24860,-1,356173,713667,-1,96083,-1,969106,-1,-1,986542,-1,726409,-1,872970,-1,-1,-1,637870,876634,-1,-1,454203,-1,-1,651528,230079,-1,342652,809405,-1,-1,-1,834388,222512,206935,-1,801866,-1,-1,503267,656050,-1,703340,75526,910980,-1,-1,500231,-1,-1,-1,-1,-1,-1,676816,133142,506738,-1,489078,-1,-1,-1,236233,514886,-1,123781,481457,247250,-1,-1,862461,600971,-1,398003,-1,-1,332937,159447,631032,512574,-1,618334,-1,-1,-1,656355,-1,-1,-1,-1,814738,568983,279213,45736,-1,509219,-1,-1,-1,-1,418195,-1,-1,380061,-1,505162,-1,928161,-1,-1,-1,476239,953853,577328,552331,-1,246721,-1,656618,-1,-1,-1,146870,873462,75768,430912,-1,-1,801250,897779,-1,-1,-1,646143,420202,116940,-1,643363,513462,141022,202904,812920,876440,-1,-1,253041,-1,859079,989335,849255,-1,660362,935584,247309,-1,-1,-1,292098,406171,-1,-1,-1,-1,340026,766737,438762,64297,-1,-1,-1,149413,301969,-1,873365,-1,-1,-1,-1,-1,442769,-1,-1,-1,-1,-1,-1,697183,128906,507535,-1,988446,-1,195433,-1,679984,-1,-1,-1,-1,-1,-1,-1,779959,-1,70006,59323,-1,-1,-1,-1,354315,-1,343460,475874,-1,-1,137393,-1,297699,608109,860464,248586,50623,-1,283668,181701,-1,976618,-1,124375,268830,-1,889632,480001,749600,-1,-1,660831,43834,418212,487556,-1,867682,75385,405030,458156,-1,-1,-1,467672,885576,860330,-1,353964,520277,-1,114782,-1,-1,271938,-1,-1,618985,-1,-1,115738,-1,615846,-1,-1,-1,896776,-1,98125,119970,-1,200058,456595,-1,124339,-1,-1,25274,664207,-1,-1,-1,-1,310652,-1,770391,648904,-1,-1,664782,674757,-1,675522,825673,-1,-1,-1,30254,-1,391255,-1,883162,-1,37803,355063,-1,560175,36955,-1,368810,-1,-1,-1,368777,-1,819065,208005,-1,734139,808238,-1,839731,-1,101870,785973,-1,-1,820087,190889,-1,372149,-1,473557,912959,-1,-1,-1,-1,285537,832901,-1,-1,-1,101883,202645,641501,-1,-1,364908,259468,956807,345460,-1,597903,-1,-1,117600,-1,-1,596908,101653,653854,-1,-1,6618,-1,612862,-1,247643,750801,78866,-1,-1,957445,863820,-1,-1,-1,123188,-1,541416,-1,516629,-1,765921,138490,-1,-1,-1,440040,-1,-1,49653,-1,624181,45662,-1,-1,-1,-1,-1,535588,-1,-1,331472,475482,165512,-1,568177,493297,963307,-1,-1,-1,160744,100892,655602,-1,242629,-1,920082,-1,-1,-1,981436,544030,-1,484965,-1,-1,1811,753364,341395,-1,472526,669946,-1,-1,-1,887616,-1,757103,871619,-1,480527,-1,-1,650212,-1,-1,656302,258853,944521,-1,483641,599957,-1,200029,184927,-1,314702,-1,-1,443999,413696,-1,69186,-1,89235,-1,-1,949098,-1,930620,970484,-1,721765,-1,-1,364277,-1,884623,-1,846480,260762,199893,-1,-1,434532,710713,969820,886156,599590,981677,709172,925107,886615,399084,-1,814351,-1,159437,194376,-1,971118,13852,444537,-1,349232,-1,-1,-1,-1,719383,-1,476307,471889,944590,-1,-1,-1,-1,612806,179235,-1,893152,321090,966263,-1,-1,-1,-1,-1,-1,-1,214051,847104,798681,245669,998561,-1,-1,-1,619611,954364,173548,-1,29465,964021,424433,-1,-1,925550,886287,510717,-1,737328,-1,849340,956487,999580,992507,-1,609682,201218,106021,272748,482795,449914,495977,200849,-1,-1,109725,392942,341566,45149,-1,960764,629754,-1,13527,-1,-1,-1,829448,-1,-1,-1,947098,605214,361007,-1,-1,-1,-1,706235,153872,389180,891395,-1,799526,-1,-1,-1,517555,21134,688117,-1,525290,290333,-1,565058,-1,645613,571549,-1,356845,321856,-1,-1,515431,-1,388981,-1,149730,443323,-1,673275,714194,871016,309484,-1,88147,777346,802267,61032,-1,504673,-1,-1,-1,-1,-1,332002,-1,-1,-1,-1,779059,-1,-1,-1,-1,777012,-1,630000,-1,-1,-1,-1,-1,194724,-1,537111,-1,759209,-1,143501,-1,748510,673900,535733,773796,46566,-1,965021,-1,-1,-1,-1,-1,405137,-1,19247,-1,-1,-1,-1,-1,883906,-1,-1,-1,440378,-1,136573,791922,243371,-1,-1,114413,903383,-1,220360,867965,-1,-1,455401,-1,-1,293842,385909,554195,-1,889876,-1,-1,90184,670192,556301,-1,-1,812377,13066,40996,-1,803621,-1,-1,714760,136317,-1,-1,174079,725059,789879,830039,411065,-1,784472,-1,325888,525917,-1,171741,137118,107820,367082,569782,948962,-1,444698,496865,-1,573701,-1,613851,858602,-1,207628,-1,-1,388650,-1,-1,-1,-1,127410,725672,358244,58259,-1,-1,-1,-1,9012,-1,495145,-1,-1,-1,-1,504589,-1,-1,835503,-1,-1,978578,-1,-1,600704,-1,-1,-1,-1,-1,784504,-1,-1,-1,-1,354236,569874,-1,-1,853544,-1,740557,-1,-1,-1,-1,-1,-1,740365,-1,586398,689696,176515,-1,278417,250654,-1,609282,484792,-1,-1,457155,-1,-1,278427,517323,-1,-1,-1,286333,329324,610703,574374,886741,776384,598557,-1,134910,-1,-1,790475,-1,-1,199612,-1,618199,462444,-1,-1,554986,985074,-1,-1,377452,-1,429777,-1,104804,-1,585660,-1,987363,-1,-1,370624,-1,655284,201392,-1,-1,-1,10520,-1,-1,433030,-1,988179,-1,-1,-1,-1,-1,-1,812997,-1,980795,986134,276334,535186,349314,-1,-1,-1,500304,151520,938138,-1,-1,-1,-1,-1,277032,619911,-1,720103,361104,-1,30803,265130,684886,507444,-1,-1,-1,133624,692713,-1,102314,-1,-1,-1,-1,991892,-1,-1,-1,-1,72331,-1,355029,256351,425594,-1,-1,-1,232062,782879,-1,8504,313928,656430,883843,-1,456700,398272,-1,-1,-1,750143,-1,-1,-1,62656,968518,79279,-1,-1,788978,374449,455303,858043,242335,542230,958420,605024,658215,990618,-1,-1,-1,89440,-1,881591,43582,608058,214402,871444,135749,327576,-1,974020,-1,932536,523660,-1,-1,597573,462501,-1,66565,188577,-1,-1,-1,-1,-1,755686,138647,-1,-1,-1,-1,67642,553320,224665,868408,82936,973091,-1,549485,-1,-1,-1,554178,342536,-1,-1,663898,-1,981199,-1,553520,370938,389751,108213,-1,-1,361247,630825,838065,-1,-1,-1,200312,-1,665931,-1,-1,579062,-1,-1,950863,839992,-1,-1,-1,-1,-1,-1,-1,937996,993810,-1,-1,53465,-1,-1,835975,-1,454039,649382,-1,-1,396658,82168,-1,-1,-1,63733,-1,-1,-1,309882,-1,-1,-1,-1,-1,766636,494980,-1,434395,877866,-1,550119,-1,859528,896652,282927,740962,-1,249069,-1,-1,145654,-1,212907,670521,491187,-1,-1,-1,-1,923032,-1,-1,-1,329939,-1,546308,-1,257104,-1,-1,-1,-1,65415,181102,-1,-1,-1,-1,700108,-1,886786,65963,-1,-1,-1,-1,19502,270874,819739,-1,566762,426101,222628,-1,155862,-1,-1,980845,-1,-1,-1,-1,135024,-1,-1,-1,-1,306158,-1,884775,731883,889109,-1,-1,100969,984085,-1,634429,34719,308514,-1,-1,-1,-1,-1,615478,866768,-1,809595,-1,-1,-1,292527,909978,-1,702350,-1,218703,892960,-1,677562,-1,-1,965731,-1,807661,778562,-1,795736,-1,716382,-1,592570,-1,678361,-1,-1,876143,-1,653237,-1,878226,-1,618702,250683,949613,114153,728680,-1,-1,-1,-1,392085,46404,685865,-1,676623,-1,749668,818395,-1,642037,14461,-1,576436,25485,-1,-1,-1,-1,-1,252429,925222,-1,-1,14015,-1,5889,377430,-1,140863,-1,-1,967125,-1,-1,999248,466378,-1,-1,-1,-1,-1,-1,581196,3493,922927,-1,-1,-1,825384,57868,-1,475920,-1,323302,-1,720325,237376,-1,-1,345485,-1,209536,-1,-1,469383,-1,-1,-1,-1,260569,-1,111024,570977,-1,-1,217035,677868,590431,-1,995906,901617,-1,-1,-1,-1,778435,-1,640408,-1,-1,-1,200017,-1,-1,531740,-1,-1,-1,653378,199385,347811,662839,976920,-1,621531,496459,964279,-1,-1,-1,-1,-1,-1,82933,-1,925162,-1,861068,-1,-1,309370,-1,340206,-1,-1,462858,-1,-1,434008,-1,-1,-1,559734,115763,68778,168313,994703,339324,648390,232289,765189,-1,-1,213077,-1,357267,902919,780567,-1,526014,-1,-1,-1,538130,69849,-1,-1,-1,288490,-1,560466,946882,126154,734165,-1,-1,-1,143410,-1,259104,-1,-1,630002,26384,613328,-1,945034,-1,513417,-1,986341,-1,-1,675964,-1,-1,-1,-1,-1,139521,-1,937260,75719,436573,-1,259445,-1,-1,903530,-1,118149,-1,107468,-1,456067,218969,-1,-1,281494,663367,-1,848503,-1,-1,457680,-1,813556,-1,219383,831562,-1,638135,836856,-1,-1,166681,-1,724522,-1,269206,-1,546794,-1,-1,-1,98713,-1,972841,662060,-1,-1,-1,631612,738676,-1,-1,-1,632419,980332,544557,378737,171336,-1,102021,103088,-1,999857,-1,989089,-1,385912,-1,-1,273564,671028,160117,115251,-1,-1,592353,871021,521285,-1,857333,-1,-1,339458,477762,650228,860446,401850,-1,312946,162648,-1,405754,-1,54103,-1,432614,85337,-1,965494,-1,-1,981749,733375,-1,462166,882044,267488,-1,688647,98128,-1,-1,-1,-1,161862,114983,-1,689981,-1,-1,-1,-1,-1,967423,971500,-1,458061,520093,-1,258917,642629,-1,-1,-1,918748,-1,-1,-1,354191,-1,715775,728010,482447,549195,249375,653603,-1,-1,-1,709777,670615,925190,-1,-1,79973,-1,313084,-1,-1,788236,-1,-1,783559,469877,-1,337553,438880,925193,199409,-1,-1,-1,577143,540136,-1,-1,98285,309329,522092,900072,-1,-1,275275,385258,11992,-1,-1,-1,136911,54136,-1,500827,-1,-1,-1,-1,571508,-1,-1,-1,-1,-1,-1,560193,206160,366698,576299,-1,634603,377447,294462,424514,-1,-1,-1,305130,-1,849776,636299,90474,394971,-1,-1,-1,-1,-1,-1,47059,389587,415199,-1,-1,-1,23721,-1,280911,368388,-1,830864,736424,-1,-1,767011,-1,-1,-1,-1,33154,-1,-1,-1,908585,-1,14741,216461,-1,-1,-1,-1,135739,669677,-1,292802,178163,-1,621053,-1,-1,199626,224051,675018,647090,-1,-1,396426,150922,-1,742589,-1,-1,604137,513291,-1,839461,-1,258210,-1,15157,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,190601,173283,-1,-1,864435,894765,55550,-1,54248,883725,-1,-1,-1,245084,-1,91613,-1,-1,-1,898042,-1,-1,-1,-1,-1,-1,-1,-1,-1,383258,-1,-1,-1,883876,656391,-1,-1,-1,-1,-1,-1,-1,-1,159862,-1,706412,-1,790793,-1,506346,141409,687496,-1,357044,-1,-1,-1,812229,539125,544720,785029,61594,650874,-1,766509,589726,-1,205824,-1,-1,63164,-1,-1,523048,-1,-1,-1,-1,-1,282110,314710,817412,-1,-1,-1,598893,-1,272688,-1,413280,433011,-1,-1,990849,-1,-1,-1,44414,732566,-1,708030,-1,887785,-1,-1,572541,657806,-1,33233,990896,-1,348428,-1,474574,-1,529051,763005,-1,795361,-1,-1,528636,901596,663923,713564,-1,-1,640910,428634,800046,704812,456888,606014,692114,922112,-1,274642,197126,-1,-1,271431,-1,-1,-1,-1,775875,-1,953434,-1,590700,-1,395109,904260,198107,-1,-1,695621,-1,803022,203698,-1,-1,682137,-1,-1,-1,489108,978229,240205,675426,-1,497342,-1,-1,-1,452884,-1,-1,188334,-1,836074,474840,-1,471907,-1,784491,-1,-1,-1,607714,77469,-1,555682,-1,857112,861999,798684,-1,645384,-1,357248,-1,518833,-1,-1,-1,830358,255685,-1,497855,-1,-1,903161,477359,-1,-1,840889,88770,219441,-1,-1,-1,-1,197584,-1,930806,-1,164323,945448,570655,-1,-1,-1,-1,-1,906354,394331,-1,590717,-1,-1,-1,-1,-1,607033,753494,99815,881279,-1,84119,632258,297972,631202,739768,756655,620543,-1,46371,645922,970530,928272,517447,126385,-1,-1,742591,-1,526420,841254,-1,721245,-1,-1,-1,235233,-1,966284,369860,721034,-1,637844,-1,-1,747400,171886,451560,-1,-1,367602,-1,616802,-1,414945,-1,-1,876844,428688,-1,-1,633748,277827,725306,-1,-1,-1,-1,-1,-1,-1,-1,-1,251826,-1,-1,-1,936460,-1,637518,235188,655928,-1,-1,-1,-1,306662,891553,393054,-1,-1,-1,-1,222301,461057,699887,-1,987784,-1,709631,156021,550284,-1,324705,-1,-1,15972,439146,-1,907436,-1,-1,257277,-1,-1,-1,-1,389209,-1,33057,595703,-1,34788,-1,-1,-1,-1,-1,-1,-1,-1,427963,-1,-1,325707,-1,-1,451440,-1,-1,48790,-1,-1,-1,164994,-1,-1,34746,212263,213700,229545,35160,-1,-1,582663,475372,-1,-1,215412,-1,-1,-1,-1,277074,-1,-1,-1,449936,336072,-1,-1,366117,500668,-1,982597,-1,-1,325075,-1,599981,-1,-1,89509,104486,604782,350995,-1,492123,-1,-1,-1,662217,-1,-1,-1,373672,-1,-1,-1,40308,602396,-1,-1,875420,575899,-1,-1,165363,581104,-1,-1,-1,650629,501548,-1,-1,-1,35479,-1,158495,461758,732564,730812,-1,-1,-1,-1,762795,20296,518673,-1,385703,-1,102296,-1,320735,-1,-1,-1,-1,-1,-1,-1,521082,-1,366908,-1,570174,-1,-1,894566,-1,-1,771426,931893,-1,380102,145373,222754,710132,936951,-1,444465,-1,237613,-1,-1,-1,312529,860998,-1,158621,119469,-1,-1,708865,-1,-1,587102,-1,889528,-1,628420,-1,-1,-1,785105,408477,-1,783830,-1,316661,579629,20761,265676,405274,298607,-1,838744,443979,-1,-1,-1,-1,-1,-1,-1,-1,-1,1332,824998,61132,463101,568516,-1,272953,806253,447570,-1,358659,-1,690603,543309,172516,-1,586202,383599,519116,-1,-1,789933,-1,-1,47979,-1,839473,-1,-1,-1,6387,533178,768669,432900,352693,529083,-1,452522,-1,-1,68505,-1,-1,744890,-1,857110,447146,801254,-1,-1,838948,141719,727066,-1,643195,590581,-1,13365,758184,888571,494862,-1,-1,-1,631263,-1,147775,594426,930333,53170,-1,-1,729471,-1,939367,932995,31729,-1,365321,-1,424465,611028,960123,-1,-1,-1,464511,639276,92793,-1,738132,471310,443285,670268,562426,-1,-1,655393,-1,66524,-1,-1,385745,892054,879696,-1,-1,181411,992702,-1,-1,501772,-1,679499,-1,-1,592895,-1,-1,-1,379800,-1,-1,669623,-1,913247,-1,288468,507137,-1,806732,-1,398937,802279,-1,-1,-1,-1,-1,-1,448407,-1,-1,857139,761477,872303,472949,-1,-1,625041,-1,-1,833702,-1,729983,-1,-1,-1,-1,830388,-1,-1,-1,165641,62765,43742,-1,-1,-1,-1,714616,-1,620418,-1,-1,-1,175887,-1,211074,-1,-1,182101,-1,387128,-1,50195,-1,172089,979546,-1,992862,-1,-1,-1,-1,514622,857458,-1,588871,-1,-1,860808,732555,944686,-1,-1,-1,969073,292786,-1,867794,325844,-1,286057,532883,-1,789606,447837,-1,397543,-1,-1,-1,-1,539744,-1,-1,-1,636127,-1,-1,781143,-1,-1,26503,568858,968918,-1,-1,47958,-1,-1,185238,-1,-1,-1,596223,-1,-1,14534,682770,-1,307785,915485,-1,-1,-1,710794,-1,-1,518191,813833,-1,-1,297424,-1,593442,963020,194001,986744,-1,-1,-1,-1,-1,-1,-1,21835,196575,-1,-1,-1,498358,-1,-1,-1,-1,24997,-1,-1,439356,174464,934763,275641,-1,-1,-1,991884,49299,-1,-1,66954,972122,-1,-1,-1,868849,642285,984868,406903,-1,433763,924639,-1,104851,179146,-1,189221,-1,-1,355924,67388,200265,467208,-1,-1,-1,-1,464061,508677,883959,-1,-1,741594,873087,203228,148184,212657,-1,908035,-1,32695,618078,27221,865839,942511,-1,-1,-1,-1,927972,-1,462308,-1,473843,769562,69370,826096,718707,452113,-1,180366,184242,109350,464515,76318,-1,924696,178453,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,966426,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,626002,-1,-1,-1,-1,-1,-1,826278,809103,-1,614039,388047,-1,52849,529532,270884,93456,-1,-1,-1,-1,887871,-1,64167,893236,-1,357374,132355,709998,721734,287637,-1,401951,-1,66587,-1,567980,683848,-1,253370,628083,388582,938028,822132,-1,69278,-1,-1,407198,390249,763318,806598,-1,-1,-1,871699,492728,485869,489077,-1,-1,-1,-1,723271,-1,757022,-1,-1,631169,-1,701964,70410,-1,266084,-1,359350,777265,-1,534053,786579,361301,-1,266109,344483,208895,852878,-1,-1,-1,-1,62372,-1,-1,-1,-1,973530,992973,867508,864474,-1,136041,894179,578743,-1,-1,-1,-1,-1,-1,-1,125199,274897,-1,915893,454691,169873,-1,-1,-1,855571,-1,-1,900280,450834,-1,129728,583452,124199,-1,-1,-1,-1,-1,-1,251273,-1,376934,896426,-1,804415,497203,562121,710829,635924,276973,-1,-1,-1,727001,-1,927465,-1,-1,-1,286424,-1,-1,-1,657530,191267,54704,612472,-1,437319,-1,-1,-1,221212,-1,-1,253480,206831,165067,-1,-1,-1,-1,-1,-1,73451,-1,32881,-1,259926,507868,-1,869148,-1,-1,-1,752115,41357,504225,154715,-1,746231,-1,-1,-1,180772,-1,670857,553066,-1,735067,-1,-1,-1,54627,626100,471862,373594,-1,883714,-1,657619,-1,41033,-1,847325,142779,-1,611448,-1,-1,-1,946157,-1,-1,343968,811549,539425,424371,711412,613479,573322,-1,-1,-1,-1,916699,538363,-1,150558,-1,229636,350781,-1,297479,277537,-1,991643,-1,-1,-1,-1,147147,494647,582626,-1,-1,141251,796459,-1,-1,-1,-1,25381,-1,232746,814699,369061,300894,-1,-1,-1,294446,785499,963876,-1,367520,572608,685150,-1,254700,-1,74223,442489,863200,138286,-1,839123,-1,-1,-1,-1,-1,-1,-1,-1,109766,413046,-1,214401,-1,204417,-1,127168,-1,-1,194959,588793,765120,238066,804406,-1,428770,-1,-1,615122,-1,612944,-1,-1,-1,-1,-1,896006,726489,862121,558455,703303,-1,-1,-1,-1,386767,-1,-1,155497,-1,-1,68917,-1,466047,354997,116665,420482,-1,848115,-1,859567,10720,823835,222722,842166,-1,-1,-1,550157,918777,119754,-1,-1,92344,-1,553179,557737,-1,274582,439548,977571,669485,-1,497071,-1,936031,783656,-1,-1,537066,-1,-1,-1,865013,807036,-1,414440,534334,341703,-1,71387,-1,880701,-1,637467,634316,-1,884486,-1,-1,279598,982470,-1,-1,-1,276812,-1,445252,-1,-1,-1,-1,-1,450632,-1,-1,-1,335204,337987,768420,922665,-1,956698,-1,-1,-1,-1,888781,208579,-1,-1,392064,-1,500938,424269,977919,-1,232308,-1,-1,-1,-1,-1,-1,-1,755528,-1,501793,175264,-1,-1,-1,896850,771972,-1,102898,-1,174134,32262,21400,924270,344498,-1,900279,-1,-1,-1,140314,75506,550005,155113,-1,419884,416938,-1,982833,-1,-1,-1,-1,-1,-1,-1,-1,261469,205985,833452,561349,-1,597843,639364,936598,-1,-1,228673,-1,336970,969716,-1,-1,33654,-1,85268,-1,-1,-1,-1,807032,-1,170150,654315,-1,464842,-1,-1,-1,-1,939849,208523,-1,-1,489112,-1,618319,-1,-1,222831,-1,438764,-1,752852,-1,-1,176267,-1,-1,-1,917063,571875,-1,471070,-1,-1,625000,-1,-1,-1,155358,-1,431998,-1,-1,823213,504906,692414,660509,-1,955136,-1,821651,-1,919365,675166,338445,163240,304191,302564,587943,762479,-1,272996,-1,-1,280919,-1,-1,124234,-1,36752,-1,764143,-1,707827,-1,485557,775684,-1,734768,-1,216817,564739,773162,768826,231759,-1,346204,455434,174984,-1,-1,-1,-1,875284,-1,403076,-1,-1,-1,87930,467294,129872,959090,-1,-1,-1,-1,-1,-1,867079,-1,-1,-1,-1,-1,-1,-1,-1,484987,-1,866815,-1,313642,408861,-1,819693,-1,-1,486269,-1,-1,632631,-1,512247,973718,-1,-1,-1,651842,942692,-1,-1,999693,380913,-1,894005,887098,649900,-1,317428,-1,171475,763926,-1,-1,74172,678284,251657,404400,-1,146424,806275,812185,-1,-1,972555,999014,-1,-1,977937,283004,80608,-1,360521,590876,985186,-1,-1,-1,59090,395852,-1,210299,-1,-1,505180,-1,-1,-1,-1,-1,-1,687871,537731,128826,104901,-1,461415,-1,890437,217081,-1,-1,283509,-1,230033,90967,889986,73645,-1,942667,87314,458810,639280,-1,68320,-1,-1,970946,-1,604022,109193,-1,700762,-1,-1,395372,-1,418454,-1,72384,288730,-1,-1,119242,294890,758039,-1,898833,988531,978930,938187,-1,256789,335409,-1,-1,601825,-1,826384,-1,-1,-1,402667,-1,-1,148942,-1,709788,-1,-1,62507,40843,306299,-1,85662,-1,185671,137953,567722,647047,-1,126166,300218,-1,-1,69059,27951,-1,-1,-1,-1,793549,-1,-1,-1,476491,392905,769166,271531,275290,698776,-1,927413,964458,-1,288006,-1,-1,-1,-1,-1,-1,495448,242146,811240,-1,-1,832965,-1,-1,-1,-1,-1,614771,144933,-1,-1,-1,-1,54036,-1,392321,-1,817808,-1,882339,888892,-1,-1,-1,-1,827544,208390,554719,-1,911659,13237,137312,-1,797608,800794,-1,-1,-1,-1,445506,-1,642739,915069,-1,-1,796163,353024,-1,-1,-1,45862,-1,861791,-1,783843,-1,818907,84601,-1,474145,-1,627314,-1,421642,88104,763160,-1,815230,-1,-1,-1,-1,204245,-1,-1,-1,548560,-1,609924,-1,243907,122235,500547,-1,356253,191877,41790,577801,90555,296607,693085,-1,911552,-1,534339,-1,439280,-1,453380,-1,-1,-1,745753,679922,-1,-1,-1,-1,285159,677082,-1,-1,630540,-1,-1,-1,542272,782953,439328,-1,566732,882396,-1,-1,770117,-1,-1,709137,-1,-1,-1,771631,-1,150636,537429,282509,843277,627618,610874,692806,-1,935006,477132,-1,986045,-1,-1,-1,609809,215394,-1,-1,357352,-1,-1,-1,-1,-1,213718,817324,-1,-1,832295,-1,217406,-1,-1,-1,422241,-1,464779,-1,-1,-1,89788,636052,-1,952812,272479,938127,882127,698397,335358,-1,-1,-1,16727,-1,471644,336979,826872,-1,-1,-1,-1,317408,682943,907088,403677,-1,-1,66604,48644,-1,255190,608163,622091,-1,691773,692155,752564,393168,288684,231133,785414,537511,-1,230404,-1,889121,441394,517074,-1,-1,-1,490137,212889,904169,510943,724568,-1,526137,579104,-1,20291,-1,96193,766187,-1,-1,-1,859459,181198,64099,892886,-1,-1,551998,838414,-1,468631,713538,-1,-1,62275,258948,-1,-1,-1,-1,-1,422034,610651,-1,-1,-1,-1,-1,494219,187407,139202,-1,-1,295891,-1,-1,-1,366013,295017,-1,75524,-1,741150,626454,-1,-1,345328,702065,-1,758858,-1,-1,-1,81670,47728,-1,-1,-1,828012,-1,-1,888039,-1,-1,-1,-1,-1,547176,-1,790172,-1,-1,-1,131139,623565,-1,820828,344353,235598,-1,911286,334637,405579,216493,-1,-1,-1,-1,-1,-1,264368,-1,70017,937607,-1,-1,374618,696679,-1,-1,56011,-1,-1,-1,996309,568459,462354,883604,-1,94526,648000,363083,-1,459764,702208,77103,526674,-1,-1,-1,155530,-1,492155,-1,552546,760960,74300,-1,336378,547222,924936,-1,547634,-1,-1,487840,747853,477006,635870,-1,351684,709621,-1,-1,-1,243352,216421,-1,-1,926501,788352,971947,-1,696350,583505,599043,848183,-1,-1,714101,418396,155011,879606,-1,-1,-1,509785,-1,630221,-1,-1,-1,767391,-1,-1,-1,767405,320040,-1,-1,747932,892636,843527,-1,-1,141717,206955,-1,9241,620749,-1,724893,-1,-1,210460,640652,-1,-1,-1,-1,719969,-1,-1,-1,-1,174490,-1,-1,-1,-1,-1,-1,277992,366686,-1,5447,19183,-1,974649,170899,924030,-1,-1,824648,309525,882536,455362,577236,-1,-1,612714,-1,139041,-1,985279,452995,-1,18758,-1,-1,55513,1291,951455,-1,-1,31752,-1,-1,422901,570856,-1,-1,149280,768327,33276,880548,90419,-1,-1,-1,-1,909206,-1,32442,-1,-1,-1,-1,11388,47648,-1,-1,708836,895464,36207,67376,523786,-1,-1,836372,519656,584524,-1,-1,-1,283031,-1,756006,-1,-1,829094,-1,-1,-1,800893,218896,-1,116286,-1,253146,-1,459365,157361,127227,-1,-1,620896,656286,161800,-1,-1,707097,-1,508457,-1,-1,580808,651897,-1,-1,-1,-1,-1,985910,-1,-1,-1,-1,-1,-1,990989,137488,746333,290966,-1,909471,-1,-1,-1,-1,499843,838302,2370,375105,-1,490356,218447,525784,-1,524313,-1,-1,-1,31243,370219,41034,431909,114614,-1,20788,-1,-1,-1,-1,-1,807664,-1,-1,437152,520807,-1,-1,27925,-1,231413,174295,850753,501220,-1,-1,-1,971111,725670,962140,-1,404418,-1,-1,-1,426097,985767,104326,-1,-1,306242,461049,-1,-1,638017,-1,-1,-1,894210,-1,687845,531536,-1,837372,576311,170932,541964,298748,-1,203819,194583,-1,403679,952248,-1,726596,946426,608045,-1,-1,-1,876534,-1,559937,233137,71037,906351,216505,149872,-1,832722,-1,-1,527363,63947,827723,690498,-1,257090,-1,706208,312754,559373,-1,274488,-1,-1,-1,-1,252678,678196,2420,529032,134865,350058,435177,651271,-1,-1,-1,732279,751039,-1,301905,5650,620588,-1,-1,-1,450912,221163,125509,860025,-1,-1,727122,-1,-1,-1,-1,969886,-1,-1,75563,844585,-1,-1,-1,-1,597076,326110,175754,113506,-1,726986,7591,-1,124101,286147,668286,206983,-1,567373,-1,913207,788663,-1,472169,-1,433766,-1,673007,643929,861412,322758,682687,-1,-1,-1,-1,-1,-1,101790,-1,78848,672143,-1,-1,481172,-1,-1,-1,-1,-1,-1,-1,-1,726665,-1,146759,-1,-1,336906,3456,-1,176128,-1,643467,-1,68805,472932,-1,418377,-1,-1,635153,-1,809516,148000,196984,595067,392445,417418,918937,-1,791149,-1,626691,777536,-1,-1,-1,685584,-1,-1,561982,706963,488418,-1,-1,620338,88723,718222,653737,152415,987043,501059,890578,-1,-1,335593,714241,806276,66332,761323,-1,234532,81532,643302,779664,311574,-1,-1,347019,154605,711628,680439,-1,947895,-1,-1,633475,-1,-1,-1,396649,920846,880144,276090,125923,-1,136594,-1,-1,244965,-1,697640,-1,858037,-1,18205,410052,-1,587067,-1,63640,128293,-1,-1,-1,-1,990871,-1,7917,200813,-1,-1,635485,-1,-1,261450,-1,-1,-1,-1,850612,506669,632555,49283,-1,-1,663006,829298,-1,-1,-1,2287,-1,-1,-1,-1,-1,-1,725800,885932,157462,-1,-1,925025,-1,-1,238223,-1,-1,890810,135712,608921,-1,895451,502233,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,111535,925625,276087,274976,972912,694661,-1,-1,739981,-1,-1,-1,-1,665776,-1,124994,-1,351041,780802,-1,-1,-1,-1,-1,-1,729674,-1,27602,-1,991556,764362,-1,-1,447581,-1,847890,-1,-1,-1,879661,-1,126095,910573,-1,-1,-1,672118,-1,-1,-1,501054,-1,-1,-1,-1,-1,-1,-1,-1,873620,-1,203617,-1,-1,-1,71462,-1,-1,-1,598491,721311,-1,964348,401509,-1,611046,152614,-1,-1,952817,-1,654091,287179,168762,-1,-1,104436,366725,957359,-1,-1,527683,-1,127107,-1,422391,-1,-1,-1,-1,-1,103915,319671,-1,-1,773277,-1,622365,26099,-1,489294,-1,846658,681917,-1,458849,-1,486251,-1,289330,855685,976545,284896,-1,525791,-1,982514,988461,636193,-1,-1,705779,-1,-1,-1,245514,569334,-1,-1,-1,-1,837733,-1,-1,116710,735729,-1,345282,518670,441807,694724,-1,277031,690472,-1,200740,42735,-1,151225,766678,-1,16122,686320,-1,-1,981362,10938,-1,-1,-1,-1,372132,-1,853992,964074,234562,-1,294226,663277,-1,907870,863164,-1,-1,840425,-1,2824,-1,-1,124766,-1,134831,355333,-1,658254,402137,93587,-1,-1,-1,247750,-1,908956,-1,-1,-1,160078,594558,387860,51537,275928,413863,779322,-1,-1,634757,-1,59701,225893,-1,312314,-1,562508,-1,-1,-1,-1,-1,411650,731037,676371,-1,-1,666738,-1,-1,-1,791111,126490,-1,563382,199560,993388,-1,25786,-1,-1,-1,-1,65560,-1,-1,505874,506102,33354,711558,-1,-1,815769,520950,677424,-1,542738,-1,449689,57135,193334,-1,463645,-1,-1,-1,-1,695795,-1,-1,-1,-1,-1,-1,-1,383616,-1,453889,-1,-1,495248,-1,-1,966689,-1,-1,-1,-1,692245,-1,-1,119736,-1,176269,367451,726738,-1,-1,263265,457666,-1,-1,-1,-1,443105,-1,235402,-1,-1,197463,-1,-1,452837,778623,415167,-1,884824,-1,-1,193383,330780,586345,851823,782388,-1,920091,992813,371470,-1,355927,-1,583041,871214,-1,975073,449297,358074,-1,917120,-1,-1,-1,-1,996244,-1,199987,-1,434788,-1,968946,81233,606215,429973,-1,935673,397639,240262,363668,-1,975562,924997,983126,569164,-1,-1,295805,394529,-1,412971,-1,-1,-1,636252,501952,-1,-1,-1,-1,-1,-1,-1,-1,942549,191182,943163,-1,-1,162850,240626,953306,-1,979499,-1,620986,438668,450106,795571,104592,915574,238469,-1,168365,76330,-1,-1,-1,995714,-1,919273,-1,-1,276922,934957,-1,-1,-1,618187,-1,-1,650032,675761,715649,276940,808485,-1,-1,456161,-1,285025,-1,-1,-1,929775,194657,-1,-1,232055,212480,969168,140351,-1,-1,128408,404856,-1,-1,-1,-1,-1,419440,-1,424061,471250,507376,-1,-1,244319,-1,781331,661465,-1,-1,581189,-1,-1,-1,-1,63949,-1,780825,-1,-1,-1,493809,959159,-1,-1,-1,-1,-1,609403,737704,-1,766010,-1,589476,449100,-1,-1,860370,-1,371876,42178,517371,73111,-1,-1,-1,181418,-1,-1,485461,620615,923957,-1,-1,767231,327888,984182,-1,-1,233001,704378,-1,453274,237907,868338,-1,-1,-1,-1,-1,-1,-1,473356,-1,460244,107834,804493,286465,-1,329450,692526,175636,-1,724788,940347,86601,-1,562006,-1,-1,-1,-1,393612,-1,-1,-1,121007,-1,-1,151536,-1,-1,224432,153270,-1,-1,-1,-1,-1,643832,-1,940967,489736,-1,888004,-1,902930,820572,-1,-1,528298,-1,654891,526026,924411,41427,663230,-1,809252,939531,-1,551286,674854,-1,-1,-1,-1,-1,478817,610948,-1,-1,-1,954758,426138,734039,331770,-1,-1,-1,-1,-1,951980,228807,-1,112462,28858,501021,-1,971123,865707,561155,842958,-1,358583,-1,-1,25720,-1,241325,-1,843146,122343,915716,682950,534911,-1,579973,-1,-1,19040,-1,-1,345715,-1,-1,777331,271916,-1,54941,-1,-1,57390,189741,-1,-1,899345,-1,481612,-1,-1,89866,382369,261125,-1,493547,336406,-1,-1,-1,-1,-1,-1,450515,950270,680976,-1,-1,-1,86811,643503,-1,-1,370193,76238,805353,-1,695640,-1,250547,-1,-1,862359,-1,254905,-1,-1,-1,772770,559502,291693,-1,240542,644953,868009,61254,-1,85799,459487,-1,570220,930169,919777,63526,-1,-1,243989,56120,-1,-1,165868,590578,290828,572840,152389,77519,658692,-1,-1,-1,201822,911275,568653,-1,-1,898562,-1,352915,323240,802135,369222,-1,284452,-1,508958,-1,7555,664692,-1,972572,215245,-1,739651,379063,73771,615113,-1,-1,-1,-1,-1,598149,-1,962111,-1,-1,48488,-1,-1,-1,-1,-1,273809,-1,-1,795015,389290,-1,777628,446585,249771,-1,804062,839646,-1,10581,336169,-1,-1,-1,120793,465851,769271,-1,163715,213792,-1,536423,-1,-1,-1,609167,-1,838910,-1,817159,-1,404402,-1,258880,-1,847747,846616,78198,773923,-1,211218,630856,-1,-1,-1,-1,885328,-1,-1,-1,-1,279356,-1,960622,-1,981080,-1,-1,-1,-1,567141,-1,794352,-1,493325,-1,-1,289101,-1,455037,492548,-1,212243,612776,833638,705126,-1,426357,-1,-1,-1,635677,528485,-1,-1,342266,-1,-1,-1,-1,83315,311772,318682,-1,-1,849727,-1,212305,775708,171398,329863,-1,-1,-1,-1,902573,-1,-1,233644,599526,-1,-1,388797,447439,-1,200681,-1,955185,102081,-1,75102,-1,405260,-1,651541,559739,-1,538938,256999,545137,-1,76124,-1,590906,826209,-1,-1,-1,355391,556085,-1,-1,-1,-1,978097,-1,341814,543951,125219,-1,39677,-1,-1,706903,-1,853223,-1,405107,-1,-1,826085,-1,-1,-1,181819,797798,-1,650553,-1,128383,587574,-1,-1,-1,371107,-1,57334,-1,555281,-1,145011,-1,764849,281387,90213,-1,89699,-1,-1,51234,-1,228231,521465,737052,970546,-1,78256,-1,686800,-1,-1,-1,908536,227078,69619,-1,812260,92491,290545,-1,-1,155304,171564,781889,-1,-1,-1,881681,660679,-1,-1,969834,-1,-1,355906,401125,721240,323407,-1,613022,-1,-1,529038,-1,584259,534800,658762,-1,-1,658521,-1,811735,-1,-1,483978,960114,-1,-1,34648,814968,-1,454343,618788,-1,-1,26322,-1,827681,-1,546890,-1,-1,98700,-1,248009,-1,-1,294688,625529,881360,622953,557449,177219,-1,-1,927276,-1,505330,490991,7475,59092,-1,334286,-1,-1,-1,666028,-1,-1,650945,163837,-1,-1,-1,-1,-1,871998,774752,638967,572088,621773,-1,886748,885469,-1,657965,-1,57391,-1,856919,417421,287690,751756,-1,-1,505953,808821,-1,881890,-1,-1,-1,-1,-1,-1,100781,-1,-1,-1,897401,360666,561224,810242,916391,-1,805452,-1,727495,772703,479970,680180,781149,-1,69320,547983,253332,-1,-1,18862,-1,-1,-1,-1,-1,-1,-1,-1,-1,394497,497058,-1,97235,326486,151970,-1,864735,662131,-1,-1,-1,703204,-1,-1,510397,-1,-1,535434,-1,756638,-1,474465,640159,-1,-1,-1,-1,-1,313768,3655,109158,-1,-1,-1,154747,382872,-1,402266,-1,-1,986213,754315,-1,-1,24403,804764,-1,382433,613598,-1,109252,955594,-1,-1,486724,-1,-1,-1,370083,-1,579449,-1,880672,167126,-1,493343,343094,-1,203054,900649,-1,-1,565477,237920,143967,273452,-1,-1,857656,-1,529443,-1,298953,547599,-1,542365,910798,851506,661040,-1,927297,359611,-1,-1,483077,267544,-1,-1,184091,-1,-1,184675,-1,104766,-1,119747,-1,-1,477897,933837,681850,149923,-1,-1,-1,851864,198654,-1,-1,544037,810551,277766,258087,673114,-1,931011,-1,318782,875017,-1,-1,214200,639692,596795,148729,-1,-1,357243,-1,251723,-1,973391,-1,591128,-1,118840,-1,14798,-1,-1,592036,842423,86149,-1,452032,-1,97541,-1,-1,783740,-1,12953,90668,141149,48730,712340,449209,30251,-1,917889,282852,-1,103401,919575,-1,-1,-1,882637,-1,-1,312673,-1,-1,542582,-1,927730,-1,-1,199355,-1,-1,-1,-1,491936,-1,73185,-1,-1,953095,692697,-1,160742,987984,-1,-1,929608,-1,718553,993123,-1,491084,42965,679731,-1,-1,-1,383764,-1,992661,-1,-1,297013,946722,-1,-1,505,-1,-1,208544,-1,-1,839094,-1,447899,-1,858967,301335,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,643804,550044,-1,213331,260874,-1,168076,-1,-1,418470,640103,-1,-1,26048,-1,832108,-1,-1,-1,-1,819538,61956,4852,665873,-1,-1,230842,-1,657674,-1,308740,-1,542311,128399,573699,-1,198397,-1,-1,788077,457907,-1,-1,425917,741197,-1,-1,-1,-1,-1,-1,628037,-1,171705,-1,-1,-1,964689,295000,-1,-1,-1,224165,-1,16520,-1,737754,-1,103748,-1,7866,-1,186937,-1,35357,625606,159141,349337,-1,-1,-1,-1,-1,586008,916834,104705,-1,448456,-1,-1,-1,974220,196548,836373,-1,374359,791267,981399,-1,-1,635496,-1,387774,396974,540924,368071,-1,-1,-1,-1,-1,48579,-1,-1,-1,24328,-1,-1,545017,674965,149127,78423,6897,543458,715518,-1,201681,-1,683820,386694,25189,-1,-1,796822,309812,468850,964094,-1,-1,892145,27155,-1,989520,-1,53546,586706,-1,-1,-1,583960,-1,-1,-1,-1,-1,772924,755070,359433,-1,203151,-1,295395,191645,5026,-1,689761,-1,-1,-1,489780,-1,-1,26906,792072,609614,917793,667898,709263,617249,352975,-1,-1,515942,-1,265228,950025,669516,-1,178213,917256,-1,-1,-1,424462,-1,3537,-1,-1,-1,662100,-1,-1,918454,343516,432544,38882,-1,-1,756449,-1,-1,166158,-1,-1,-1,-1,99158,799588,-1,54335,-1,744630,-1,-1,458177,484740,-1,681667,469459,971679,93896,671976,-1,-1,292232,289766,992741,-1,343656,903961,569660,529542,-1,366795,-1,333106,-1,-1,567531,5527,6430,-1,-1,958101,479277,124542,-1,193034,141905,-1,-1,-1,-1,993985,-1,997762,-1,-1,272203,524060,-1,-1,-1,-1,-1,150436,839835,-1,-1,-1,-1,-1,-1,507979,-1,-1,500040,-1,-1,561958,-1,572754,-1,73999,-1,-1,406120,758591,-1,21316,-1,434607,653891,838317,-1,-1,-1,482900,-1,781604,774023,684275,245389,-1,-1,-1,448477,915934,574665,-1,-1,347060,-1,469094,-1,933287,-1,729593,903975,-1,776272,931292,-1,-1,-1,-1,-1,970379,574961,79534,25300,498458,-1,-1,-1,401977,-1,-1,-1,952859,545855,-1,-1,14087,-1,-1,610573,773235,356869,957385,492096,127551,836449,490277,-1,-1,679723,-1,916296,-1,482264,535751,-1,-1,-1,-1,939465,-1,-1,586642,-1,-1,-1,-1,-1,-1,-1,-1,-1,976178,559705,271463,-1,498165,498712,-1,714771,-1,-1,985356,605220,529851,-1,-1,-1,-1,-1,723095,894013,-1,-1,-1,594644,159533,567345,-1,136550,-1,-1,968559,969346,338244,-1,899696,-1,-1,600400,620642,-1,-1,827193,778097,-1,101022,-1,260905,509886,909001,-1,-1,566232,-1,719134,354743,105233,-1,-1,-1,861432,-1,251522,-1,-1,818984,-1,-1,-1,497538,-1,-1,-1,20587,-1,-1,756904,721586,-1,-1,-1,494168,113604,511769,589557,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,919910,924079,55293,747677,-1,-1,144016,499146,-1,-1,-1,-1,-1,76709,427360,-1,741419,-1,-1,-1,-1,-1,-1,852397,-1,-1,-1,-1,434328,703157,-1,495962,-1,952684,618021,-1,9351,286698,-1,420553,-1,360638,-1,-1,-1,847636,909577,369019,-1,-1,-1,-1,926626,751017,632443,585795,-1,78161,375762,-1,710328,562061,841037,548704,-1,969148,448362,-1,794444,-1,-1,699174,-1,273257,-1,-1,-1,297055,-1,-1,925913,-1,382705,406490,-1,-1,454077,100127,-1,822683,-1,-1,-1,-1,365171,430977,-1,-1,-1,952914,983118,-1,-1,457670,525028,655734,-1,-1,-1,-1,117988,-1,215096,-1,328291,-1,606373,-1,-1,-1,744484,115849,928896,-1,-1,8271,-1,582534,488973,-1,-1,-1,625586,952839,-1,-1,88460,-1,-1,-1,737989,-1,-1,-1,-1,-1,-1,477374,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,306411,208567,893846,26107,-1,-1,-1,984569,64607,-1,675860,90537,590941,506416,597649,-1,-1,253231,-1,923273,-1,-1,-1,248573,-1,255339,640459,168927,360080,495421,259738,-1,549240,-1,37007,330044,882342,-1,-1,442168,885685,-1,434248,-1,710194,735786,-1,341676,-1,-1,155184,-1,983671,-1,-1,-1,226528,-1,790105,-1,790537,455568,-1,-1,994644,668097,-1,691742,-1,469884,-1,371237,460722,156977,311211,864951,523245,-1,-1,-1,-1,-1,797661,867232,-1,811314,-1,-1,740771,706926,281684,554981,933291,-1,-1,-1,-1,346410,-1,-1,-1,753753,782912,-1,-1,-1,-1,478135,646033,800882,417346,-1,-1,-1,489607,-1,-1,55610,-1,-1,-1,-1,284320,389285,-1,191333,840332,481636,909222,531392,802541,311371,-1,-1,-1,997643,-1,932628,84480,-1,526059,-1,943359,-1,916939,-1,-1,562097,630860,277883,926365,-1,420479,5653,26875,-1,-1,-1,-1,466287,-1,-1,-1,-1,457971,-1,346679,-1,661168,980741,197966,-1,908420,790243,765914,259287,769690,-1,871023,57355,-1,164897,-1,908577,-1,613289,-1,17196,645564,547448,333265,-1,-1,-1,770263,-1,550728,176392,-1,113220,577902,-1,67568,-1,423454,-1,-1,715049,-1,-1,-1,-1,236416,-1,-1,772326,314249,742932,-1,-1,-1,-1,913432,-1,-1,-1,77351,15908,-1,-1,-1,-1,714533,-1,23528,-1,638502,-1,750421,-1,-1,854025,270076,-1,-1,-1,-1,-1,-1,-1,-1,127291,-1,-1,910277,689999,826088,174694,-1,535916,140855,879646,-1,-1,629785,-1,-1,-1,-1,-1,332163,10985,-1,-1,489971,-1,-1,-1,-1,-1,961962,-1,-1,150798,-1,241351,886797,-1,546010,778176,975440,-1,-1,-1,334954,-1,746832,397004,346653,-1,603809,-1,335966,-1,-1,587806,35282,-1,299054,222720,827504,-1,409994,989219,-1,131786,164810,511772,833824,-1,265245,697190,-1,5776,-1,-1,888884,471954,215031,139185,-1,22038,344627,506103,-1,227587,940849,-1,262139,430893,-1,-1,-1,-1,-1,824189,-1,-1,995412,-1,911321,168990,-1,485075,539439,584690,-1,891811,637505,99385,-1,-1,154519,310709,233790,579167,960506,-1,-1,-1,135877,764398,-1,854241,981373,723888,936071,81447,309968,311963,339248,-1,535866,-1,624405,764369,-1,-1,949592,-1,-1,-1,153874,2382,-1,-1,638343,273525,-1,72244,220583,-1,836155,-1,505110,294858,-1,592511,162238,-1,-1,855045,64338,-1,-1,464143,-1,247270,-1,-1,-1,-1,422609,381857,-1,995862,-1,-1,27225,711116,381417,246653,411030,-1,387619,-1,645145,-1,650775,278649,-1,-1,140364,-1,918121,506906,711093,512648,-1,320460,277391,-1,266239,-1,-1,-1,502817,162838,862252,255331,-1,86596,-1,918572,571451,671468,752546,922824,434380,530273,821261,287125,655260,459903,373384,-1,931661,429420,-1,852149,816049,118993,-1,-1,-1,47424,131335,-1,17886,-1,706576,79258,-1,674736,102226,-1,333259,121620,-1,-1,-1,-1,-1,-1,455143,588909,-1,-1,513431,446030,-1,-1,-1,-1,730179,275505,-1,106424,735355,-1,651709,950189,-1,769743,-1,-1,797274,-1,-1,536021,696704,762505,345494,-1,905615,-1,689708,-1,334088,657474,-1,-1,-1,-1,-1,-1,-1,-1,723023,-1,-1,-1,-1,155891,-1,-1,-1,-1,341779,-1,-1,-1,733632,73909,695599,403209,-1,400744,-1,-1,250004,-1,864052,-1,-1,468868,-1,-1,-1,-1,-1,-1,281480,-1,601182,918564,683154,561047,472850,-1,865576,-1,196959,372391,793014,-1,404174,-1,-1,722658,802656,600011,386644,-1,977774,-1,-1,-1,803070,-1,-1,539571,229059,-1,-1,794155,960124,590229,448850,931348,172974,-1,-1,813271,-1,419456,-1,-1,342316,170785,135318,-1,373535,358085,-1,-1,656615,-1,-1,-1,-1,75469,715659,593599,-1,816044,417736,453708,592540,205830,-1,264579,231169,-1,457474,787296,-1,-1,-1,-1,-1,-1,900289,-1,-1,312843,678514,205594,-1,295778,-1,-1,-1,-1,414495,-1,381666,661116,-1,-1,26967,411992,683020,-1,633558,750049,579861,894890,-1,870874,-1,-1,-1,-1,120486,-1,544784,-1,194393,845788,-1,891821,-1,-1,869823,-1,35387,231727,-1,-1,-1,-1,554279,-1,931758,-1,-1,578919,-1,816120,255417,135084,968864,-1,181428,-1,849604,-1,350499,-1,529413,58723,972734,-1,-1,-1,278313,951845,641340,793534,-1,99989,-1,186178,364119,-1,-1,-1,678641,-1,149961,-1,-1,409049,845129,45683,-1,344362,159036,240504,-1,657441,-1,-1,-1,151489,-1,976615,-1,38904,317224,-1,-1,-1,-1,-1,410391,324829,-1,235469,927708,376945,-1,-1,-1,458984,-1,232279,-1,747611,386016,-1,66400,435904,367931,45926,716538,-1,-1,-1,866721,497353,338201,-1,-1,-1,-1,-1,-1,-1,-1,-1,182418,167657,197203,265258,370001,482300,-1,-1,-1,583308,694695,-1,-1,-1,-1,-1,-1,63388,517203,-1,-1,83116,938820,268964,-1,579858,-1,362271,991439,-1,747517,-1,-1,-1,-1,-1,205211,349603,952694,-1,-1,135498,-1,721697,-1,-1,-1,11952,-1,730765,4996,903892,-1,-1,785096,913089,641170,-1,689948,305467,960821,811130,-1,424817,150280,597864,766431,-1,-1,632118,-1,145014,770581,-1,665930,-1,-1,688741,451366,-1,847524,-1,-1,-1,-1,-1,-1,825685,-1,-1,-1,-1,354295,297178,-1,-1,299306,609985,561253,-1,430713,350683,-1,-1,-1,-1,10864,-1,429435,281030,994696,542884,59299,616060,315286,-1,317774,-1,555454,-1,-1,-1,-1,-1,866192,-1,832433,-1,662930,339218,292229,-1,-1,825311,-1,-1,430871,-1,-1,-1,-1,-1,-1,723954,568338,62478,389126,-1,-1,-1,368686,169035,595941,184796,791826,389803,-1,755616,-1,701000,-1,843978,582779,-1,887945,474455,33694,-1,-1,-1,-1,259708,-1,-1,364269,412651,707100,-1,567133,135220,-1,180090,-1,472510,586216,-1,-1,823757,-1,509972,-1,-1,-1,181153,-1,-1,-1,519575,-1,-1,895561,365978,409747,-1,-1,387327,544986,-1,306887,-1,896345,-1,-1,707251,-1,84364,381494,-1,-1,-1,-1,-1,889896,-1,730670,336588,352345,-1,874317,894203,618699,304983,797520,13175,131470,-1,-1,-1,888131,-1,212327,331236,-1,427945,671225,-1,889799,-1,-1,128391,-1,-1,-1,-1,-1,-1,-1,376253,448205,31628,628867,653047,-1,588906,-1,-1,-1,-1,-1,163696,-1,343167,101987,690866,-1,250972,25336,651784,818249,-1,-1,-1,783427,-1,-1,-1,-1,-1,241649,553215,939591,804586,-1,-1,-1,986258,-1,-1,493778,-1,-1,-1,-1,-1,-1,-1,-1,647037,115200,-1,684387,-1,631866,-1,416841,-1,683897,-1,518015,567124,154744,318073,738842,930504,942800,-1,219358,559123,560557,714548,468565,-1,75302,93813,946176,724966,-1,425699,821490,-1,851197,-1,-1,423669,377077,-1,940825,508511,-1,653817,-1,-1,108252,912224,-1,995031,640324,-1,-1,-1,-1,290002,-1,-1,665228,-1,-1,-1,-1,-1,-1,-1,-1,-1,404983,647577,-1,-1,267954,513496,-1,985001,-1,-1,56168,670152,-1,-1,552361,859582,909041,-1,-1,-1,341545,-1,-1,954434,-1,593676,26473,79990,151261,773504,-1,615507,797125,545747,-1,230876,-1,901911,50207,-1,-1,14092,-1,-1,-1,-1,88199,-1,565080,-1,326804,277948,-1,-1,387307,124758,-1,-1,-1,-1,-1,854189,21479,713808,232999,-1,-1,877586,-1,-1,896548,712221,-1,476909,-1,-1,616846,558314,426589,446000,-1,-1,-1,-1,-1,783348,-1,462298,-1,424111,-1,-1,-1,487775,-1,50637,258417,-1,378488,-1,230485,572745,-1,877739,-1,91529,934611,-1,412943,481314,-1,273758,-1,353381,408393,95728,667136,697042,-1,-1,-1,501670,488983,733232,-1,953400,709535,318494,-1,-1,499291,-1,126314,232506,287211,920832,623266,168266,-1,-1,201850,-1,-1,9003,582175,995771,669915,-1,-1,953931,539494,-1,390593,559498,681404,-1,-1,-1,-1,751495,-1,-1,-1,-1,528832,-1,735804,395636,-1,-1,37307,-1,508270,-1,-1,257614,762971,-1,-1,-1,611813,118746,-1,-1,-1,-1,252302,-1,-1,-1,391908,-1,571953,-1,-1,90893,-1,584718,677528,55050,582277,706991,-1,393179,234993,584008,917521,67221,-1,-1,-1,894277,726124,223230,-1,488048,426603,177364,517029,-1,-1,-1,298725,43645,685867,219377,792901,-1,-1,-1,-1,339997,846218,-1,510672,871156,-1,-1,147969,-1,284493,407560,-1,-1,-1,387650,-1,534650,-1,-1,9618,-1,253134,-1,-1,-1,-1,848878,-1,-1,456394,985705,485867,248219,-1,259995,-1,-1,-1,-1,-1,52125,86363,-1,670701,306946,864632,571493,290725,189593,-1,-1,842563,476860,-1,212252,691534,-1,-1,-1,-1,-1,51669,876477,-1,-1,88835,528100,-1,-1,484732,943079,-1,-1,-1,-1,-1,-1,104165,-1,-1,-1,-1,920618,1355,-1,580999,-1,781677,-1,7914,855317,233705,-1,856831,-1,-1,542103,551813,-1,-1,176324,-1,-1,-1,-1,439528,734419,-1,-1,468632,686421,-1,336510,-1,-1,-1,-1,420731,-1,675937,-1,-1,579784,-1,812740,170658,169866,506328,634623,-1,688641,-1,-1,-1,-1,-1,-1,-1,672722,523346,984701,-1,-1,-1,-1,-1,-1,85656,-1,-1,232198,-1,298254,-1,-1,-1,163024,809244,807217,-1,846393,727797,576803,548703,-1,-1,-1,556595,-1,997340,-1,352547,77222,529751,527105,-1,893755,276228,-1,-1,-1,-1,510243,380407,839302,-1,-1,115839,215611,-1,-1,-1,251292,-1,143135,997271,-1,247334,-1,653542,-1,-1,919049,-1,-1,298365,-1,-1,124783,-1,-1,91886,-1,677866,29940,-1,-1,880593,304041,203954,480984,-1,722551,95027,112188,-1,-1,-1,175052,810568,675698,-1,242069,-1,-1,-1,-1,-1,523478,638588,-1,-1,721906,-1,-1,-1,-1,-1,-1,-1,-1,-1,363669,-1,567918,-1,-1,359432,-1,224223,88490,-1,-1,-1,-1,963980,174432,961989,-1,244823,-1,556836,166105,656629,292300,457295,621290,926395,-1,-1,-1,99227,789802,459617,-1,71528,798959,-1,-1,-1,236283,893883,74249,-1,-1,-1,630785,587851,-1,534683,-1,392696,-1,79058,-1,12451,996593,567926,374528,-1,-1,-1,55631,-1,521839,-1,-1,-1,-1,100268,-1,976640,188097,309735,864191,916217,229800,963569,437137,-1,310282,-1,563596,-1,-1,-1,-1,983372,-1,600572,787383,-1,78961,-1,-1,-1,415070,692958,-1,-1,507410,-1,-1,623385,-1,576965,-1,801740,-1,432065,-1,-1,601120,-1,-1,533481,-1,348701,-1,878698,-1,508418,-1,-1,-1,-1,-1,782074,-1,785027,411088,-1,-1,101529,601295,744416,-1,855181,196764,-1,429179,621162,-1,-1,677669,143176,629649,-1,-1,556510,145046,-1,676745,28007,526335,737748,-1,-1,945465,821515,3921,729095,-1,-1,233984,574041,-1,378848,174897,595185,-1,404137,-1,-1,-1,9887,690148,-1,897476,-1,-1,-1,-1,-1,-1,683140,765257,-1,-1,123215,610746,-1,-1,991618,303365,-1,-1,320774,-1,207111,-1,-1,-1,180750,-1,-1,-1,-1,956009,173638,824071,809037,-1,-1,-1,-1,364920,-1,811872,-1,-1,-1,-1,174544,65798,-1,322384,823725,820696,-1,-1,46102,173813,-1,385226,186579,939601,313417,688574,-1,-1,-1,-1,-1,547561,-1,-1,176861,-1,-1,-1,716255,-1,161342,867802,-1,758873,-1,241095,-1,-1,55431,-1,977667,-1,-1,-1,-1,-1,786546,-1,611406,-1,-1,-1,-1,-1,907657,931014,-1,93708,509973,708257,779861,53892,-1,-1,34927,775553,-1,711413,220868,-1,871590,100672,-1,-1,78255,570788,399508,-1,-1,-1,-1,-1,-1,-1,19662,-1,414518,457740,398629,-1,-1,-1,315538,309273,-1,140580,890114,653841,-1,-1,-1,861519,-1,-1,-1,-1,289689,455417,-1,-1,949469,-1,-1,-1,16542,560042,-1,257039,-1,268615,-1,-1,187884,749874,320084,-1,-1,468589,-1,-1,-1,-1,718721,-1,145331,-1,664217,868121,-1,-1,-1,964515,-1,928171,650390,-1,-1,806084,-1,949216,-1,-1,-1,3622,-1,-1,45967,-1,-1,35591,760180,126875,-1,-1,846030,-1,510588,-1,-1,956292,235825,610798,760403,-1,835497,-1,787639,-1,-1,327432,758711,745191,713959,2441,-1,248124,-1,436434,15044,-1,-1,-1,-1,226281,28132,-1,465514,-1,681215,-1,-1,-1,836499,298186,-1,848327,-1,581372,-1,319615,903300,383720,863547,-1,693227,84126,81057,-1,-1,-1,-1,-1,-1,-1,638504,619154,-1,255296,576378,61358,591633,529520,-1,862665,392379,649145,8441,666813,378571,102467,-1,-1,630108,759779,-1,53715,-1,437757,746276,-1,382120,-1,506520,786738,998761,712685,-1,98571,799739,854815,-1,797947,-1,-1,-1,-1,-1,-1,949764,-1,-1,-1,-1,801686,-1,-1,173279,171328,344134,901175,-1,-1,932526,304204,372995,-1,68532,-1,546402,-1,-1,-1,800953,-1,-1,-1,-1,-1,-1,-1,-1,518696,-1,38714,4823,851429,-1,-1,-1,290907,6838,-1,-1,-1,187720,446146,-1,-1,605346,817323,-1,51673,574444,-1,-1,931928,194103,649401,-1,-1,599277,290834,98628,128316,-1,-1,810606,-1,-1,-1,-1,-1,-1,528645,-1,-1,899916,467,-1,114217,-1,713677,102095,-1,795442,-1,326774,544962,776862,176425,-1,-1,853717,639754,-1,493553,-1,-1,-1,-1,-1,285636,-1,-1,440546,627359,-1,961237,-1,-1,535707,-1,-1,-1,-1,420377,95690,-1,-1,-1,912774,-1,-1,-1,-1,995572,-1,901295,-1,871227,792491,-1,-1,21069,-1,399478,-1,-1,142953,527532,-1,714859,-1,415102,928555,-1,120023,132521,638409,135660,-1,894939,-1,-1,823820,-1,841235,-1,40228,-1,204395,655836,-1,-1,-1,-1,746127,186618,-1,-1,625485,-1,985378,329057,-1,218158,-1,-1,-1,82097,-1,-1,566701,230507,996036,753920,-1,618996,219245,-1,960254,820650,-1,740462,-1,-1,-1,440770,32684,-1,-1,-1,-1,-1,-1,60745,844093,742714,-1,488713,-1,-1,655347,547339,-1,754145,270176,-1,838617,146882,-1,570112,174406,-1,841113,-1,468227,-1,99012,-1,-1,-1,-1,328316,-1,86182,284358,386139,-1,-1,-1,-1,765084,422924,-1,162117,-1,-1,-1,645400,68071,-1,-1,896681,-1,77246,805605,521203,-1,-1,216129,27515,463464,869371,-1,-1,-1,989269,-1,893972,-1,-1,-1,-1,934785,-1,295606,-1,-1,-1,-1,-1,-1,760510,172275,-1,-1,-1,-1,694905,-1,635734,188759,132750,618718,-1,817837,456572,-1,-1,-1,30782,959350,758505,675056,114828,101735,930045,715467,27862,-1,898388,879914,675714,30463,604885,318688,72245,-1,-1,-1,-1,-1,669139,-1,-1,763251,-1,812776,-1,996344,-1,231569,-1,-1,-1,620920,527929,-1,-1,-1,228769,-1,-1,-1,250589,-1,37070,-1,-1,-1,960199,-1,-1,-1,28971,-1,39043,823102,-1,997984,605378,-1,62002,-1,871388,883063,927530,-1,-1,-1,959375,712943,-1,938223,-1,332004,-1,826512,-1,-1,464983,-1,659897,871978,48893,-1,328168,-1,-1,33387,914924,980237,-1,714885,616733,-1,-1,661481,928576,396621,-1,4549,362748,944877,739174,-1,-1,-1,127806,-1,-1,522479,-1,340982,983198,752227,829914,654689,-1,536333,858008,18866,990431,867752,-1,337242,511376,804487,-1,-1,123118,-1,587743,-1,-1,14990,238939,-1,-1,977567,-1,-1,283762,421059,-1,-1,646592,-1,-1,796831,-1,-1,740352,294914,732716,238795,435706,-1,-1,653076,390366,-1,556084,-1,236336,-1,-1,578067,571669,34474,418210,171557,-1,-1,40164,413098,-1,-1,-1,-1,-1,649045,-1,-1,-1,923406,-1,645061,300968,460229,424218,368498,632762,-1,-1,409375,-1,858231,851053,-1,-1,77176,717190,581083,-1,633345,148876,424584,-1,-1,-1,489940,-1,-1,-1,-1,450079,512416,-1,263405,-1,-1,685128,525944,-1,-1,84336,133575,-1,-1,182434,-1,350456,-1,619072,992190,-1,380431,-1,-1,-1,645892,-1,407122,53232,158393,-1,66346,-1,101859,-1,791226,-1,-1,-1,595254,591959,-1,545587,939291,-1,-1,-1,364025,-1,-1,-1,-1,-1,357166,-1,709632,990898,960996,889370,740059,-1,415320,-1,663828,739112,256752,-1,-1,-1,-1,26095,-1,-1,-1,823209,-1,595028,638640,528799,-1,-1,179039,-1,-1,-1,668563,450401,-1,838233,-1,194760,532388,-1,610833,976749,-1,-1,341509,-1,413469,-1,-1,-1,150078,564193,705421,958293,-1,-1,261791,-1,375178,653017,227303,-1,624108,587466,908921,227017,-1,-1,251472,-1,157783,-1,-1,150173,-1,-1,358890,-1,793528,-1,-1,879589,898938,865675,706463,668916,187384,416666,-1,905309,8238,400977,-1,-1,356243,507371,468163,491708,347920,-1,572479,-1,-1,56508,-1,-1,362214,-1,-1,96917,-1,-1,-1,-1,-1,701861,80810,-1,-1,-1,-1,-1,-1,783941,444577,142003,809923,-1,651908,557243,123489,683953,-1,738999,-1,31577,472640,56132,930942,385302,710124,-1,-1,-1,-1,984326,202113,-1,-1,900873,-1,-1,721060,546735,-1,-1,84826,-1,-1,-1,-1,591300,-1,-1,-1,982824,-1,-1,-1,-1,-1,-1,377191,578796,137670,-1,736339,-1,163443,455795,-1,-1,127342,-1,446088,961657,-1,-1,942133,21471,860769,372549,-1,-1,-1,-1,416992,456336,418277,-1,-1,30058,-1,-1,225393,124716,-1,-1,-1,-1,209630,748792,421977,956282,754059,-1,-1,-1,433357,-1,500648,212793,31629,-1,647706,848361,-1,213518,-1,471700,-1,-1,-1,975994,718954,35386,633595,-1,-1,-1,136296,459450,-1,673577,-1,247540,-1,273319,-1,-1,608199,-1,644324,-1,-1,768246,-1,-1,195716,-1,916039,193900,-1,-1,-1,527416,447515,862419,-1,868621,622130,-1,-1,557096,579991,497432,-1,571883,919876,472279,-1,-1,467679,50587,507541,-1,593593,14943,256974,664063,-1,495681,445700,217088,-1,-1,129093,-1,-1,382296,-1,-1,-1,259989,27153,-1,535465,-1,376061,726384,609671,-1,-1,205833,934947,733109,-1,-1,974120,618171,588820,398642,-1,-1,-1,627549,-1,-1,-1,890955,842317,432186,712424,524160,51366,290166,941621,-1,-1,143788,934470,-1,-1,951646,-1,638913,62371,-1,-1,-1,-1,196924,173414,393843,321729,-1,-1,-1,795716,10445,-1,-1,737341,382524,-1,-1,964803,-1,961132,-1,708443,256091,133026,-1,331132,558004,-1,-1,881592,-1,876256,192810,882000,596054,-1,354208,132935,-1,-1,977695,-1,-1,-1,-1,-1,567202,464610,544787,-1,130829,607197,-1,-1,103068,-1,474885,181042,41040,281339,499272,869121,877820,-1,543054,841243,-1,899449,777037,-1,-1,-1,-1,-1,704524,324659,567551,-1,-1,-1,-1,-1,805609,-1,678732,-1,-1,-1,669520,64570,93448,-1,-1,-1,401861,-1,-1,-1,167491,455518,389067,127021,235731,116162,-1,628125,-1,-1,-1,273271,-1,-1,646455,575864,511216,450716,80527,-1,-1,165573,-1,45112,-1,-1,55372,-1,-1,-1,142334,713181,24332,676655,-1,-1,984991,-1,875960,-1,-1,-1,920287,355885,-1,-1,880888,47001,654726,921407,157880,996331,-1,-1,68085,304585,-1,-1,-1,-1,-1,-1,808004,-1,-1,480389,799755,-1,-1,645069,-1,-1,-1,-1,837204,-1,-1,-1,-1,-1,-1,-1,-1,466919,637598,-1,985209,-1,153393,991687,476801,142469,-1,770640,161379,966224,433526,-1,647814,-1,-1,-1,884858,-1,-1,-1,391666,593148,758693,-1,-1,518346,684744,52702,407412,858205,646563,-1,-1,-1,803421,-1,-1,-1,-1,-1,-1,540070,768860,-1,143106,-1,458226,270315,428997,134207,-1,612246,868339,494487,859700,-1,65828,-1,238790,-1,366492,949181,-1,-1,888275,-1,298302,-1,-1,-1,19384,-1,-1,-1,636871,-1,859021,-1,906796,934124,791136,-1,525382,-1,-1,-1,-1,288105,165975,646888,129918,107367,865427,732465,751907,292932,266993,-1,-1,602201,-1,-1,132974,125471,-1,-1,-1,-1,394362,462973,-1,652851,-1,-1,838542,406533,-1,-1,-1,436666,-1,-1,-1,75219,-1,340719,397893,751810,93673,562277,616362,-1,663683,939530,-1,-1,-1,-1,90217,-1,675480,698763,-1,400129,-1,598967,880341,178339,-1,-1,385196,628946,-1,292358,957957,526612,90973,-1,496963,606440,322885,-1,458377,746724,-1,-1,-1,-1,673318,-1,-1,-1,261334,871532,-1,-1,-1,-1,-1,-1,-1,485849,36232,235005,-1,-1,-1,727173,-1,-1,885101,259703,588345,-1,415300,851561,3281,-1,-1,457840,-1,950449,856843,-1,500884,504283,849851,593732,381778,144103,626951,-1,685209,511242,-1,-1,-1,721565,40593,136780,-1,525106,-1,-1,-1,-1,-1,114657,645152,96455,-1,-1,579378,-1,-1,171318,-1,66304,606186,-1,-1,555480,180238,-1,772726,273767,551251,256550,-1,935591,838898,-1,269092,286383,-1,680740,-1,452205,273589,932694,-1,-1,-1,-1,655273,266434,505171,-1,-1,-1,-1,427881,-1,-1,643247,-1,289323,-1,-1,-1,617551,-1,-1,277795,900832,874533,-1,-1,-1,664153,11105,-1,-1,-1,416924,130865,843142,-1,-1,-1,667667,328362,-1,-1,-1,459776,286861,475034,60971,-1,-1,558041,-1,-1,-1,639871,795531,351854,634304,-1,-1,-1,350952,595224,642443,-1,266085,694903,831468,-1,-1,516204,257803,255064,-1,-1,-1,361777,121250,-1,218915,-1,441393,-1,-1,-1,-1,-1,96967,731101,286524,-1,-1,-1,-1,-1,555161,328766,-1,809674,-1,-1,-1,-1,250969,969522,675966,-1,-1,-1,346055,-1,572760,103557,827735,957218,-1,-1,306597,-1,-1,610927,-1,-1,464187,998316,-1,-1,786050,-1,316157,790681,-1,-1,-1,-1,848404,-1,-1,210590,946696,157847,444544,-1,509485,185665,770509,735464,849476,-1,-1,280748,376823,-1,-1,-1,448936,634478,586457,-1,-1,-1,657760,-1,803350,-1,-1,-1,978204,667644,-1,646031,-1,370728,-1,-1,-1,417620,-1,863448,81903,-1,473761,-1,-1,-1,407801,-1,-1,-1,-1,-1,-1,586979,994250,340743,-1,-1,1292,181118,-1,331772,592767,-1,-1,202885,578261,664890,1239,252949,383454,-1,-1,654971,-1,980013,-1,-1,-1,-1,623584,15474,-1,-1,-1,-1,864214,993166,-1,-1,-1,-1,343711,611858,111790,-1,418332,110883,636297,-1,29253,-1,-1,887813,-1,-1,225628,-1,-1,996276,-1,-1,-1,679394,152094,639666,351658,-1,-1,767252,-1,-1,711603,655757,431510,-1,-1,946119,9974,-1,-1,871379,433042,-1,-1,813412,-1,630113,327509,-1,945435,100028,237921,-1,533955,-1,-1,-1,-1,458194,496145,202667,469638,-1,737827,-1,-1,-1,-1,-1,-1,-1,-1,-1,131245,461678,-1,-1,-1,727476,-1,92473,-1,921133,716460,332412,821293,67292,-1,886289,-1,441772,564916,483855,-1,24973,-1,143663,259165,414135,502889,-1,-1,-1,-1,-1,208018,405336,-1,-1,-1,-1,-1,-1,989295,-1,-1,-1,-1,795081,806550,-1,-1,-1,311229,306453,-1,-1,196025,-1,897695,-1,-1,-1,306919,-1,-1,-1,431549,-1,-1,868926,361469,-1,732251,-1,-1,851261,-1,620873,-1,-1,-1,176334,319173,-1,16696,32796,-1,337865,-1,-1,119660,585797,788389,-1,-1,-1,689940,859638,582815,45792,-1,-1,-1,387167,-1,-1,-1,-1,907600,7345,565682,142783,61353,901581,563074,-1,-1,413751,265525,-1,82379,640879,676485,-1,516702,-1,-1,369443,-1,809173,438892,-1,-1,-1,-1,707318,51405,-1,-1,590446,-1,-1,468471,-1,397064,-1,-1,-1,-1,279516,-1,-1,124747,664167,692045,-1,-1,657327,240111,58687,926983,-1,-1,503385,566378,-1,174991,-1,181893,554515,-1,768685,592942,-1,544586,98896,110106,-1,547674,628783,81625,-1,-1,492021,212264,628761,230172,-1,-1,558928,702885,545428,-1,241858,154866,847611,964357,-1,-1,-1,128698,-1,884108,408441,713711,-1,-1,-1,-1,-1,-1,-1,-1,-1,706651,804349,785991,-1,997667,-1,-1,468114,179380,26324,-1,851410,769800,-1,-1,-1,-1,-1,120461,377880,-1,850020,-1,592099,-1,71256,888897,286373,29152,239099,504423,-1,-1,-1,-1,-1,-1,372129,973248,-1,180524,386288,-1,29807,929528,331561,938322,-1,840553,852944,-1,-1,-1,638239,945047,617826,861492,-1,515943,165736,-1,-1,278271,604568,464634,991598,977745,956348,-1,609239,-1,-1,-1,459879,427604,-1,-1,76787,-1,417625,185511,-1,522095,119693,-1,-1,-1,-1,291010,19987,696624,885043,-1,921444,-1,-1,791839,446489,132739,203691,698948,-1,434610,-1,42549,-1,-1,348281,875805,227570,-1,-1,641173,-1,27459,670587,836450,202032,248782,256447,-1,-1,450729,-1,-1,238755,42538,-1,177359,116663,807020,964586,336870,60078,223017,-1,461462,-1,661688,-1,126887,-1,-1,-1,-1,-1,348387,-1,-1,-1,128099,312175,835828,-1,605865,192402,-1,-1,-1,-1,-1,116823,574290,439618,-1,976341,543765,981266,887208,-1,217847,-1,-1,17279,369344,512590,521064,-1,63203,-1,288577,455177,331697,499672,958445,416492,822793,-1,-1,324324,444992,-1,-1,-1,-1,-1,-1,331681,-1,432064,594267,-1,714922,653444,-1,-1,603619,94962,670739,-1,515082,-1,695586,-1,-1,291676,-1,-1,635203,-1,-1,-1,-1,44895,-1,208246,-1,-1,-1,-1,-1,-1,544428,941474,-1,594833,-1,846933,-1,1577,955980,624927,43684,-1,63821,-1,811851,-1,-1,-1,416450,-1,-1,700330,-1,-1,591553,203511,631416,-1,-1,476070,496670,-1,-1,-1,828967,-1,-1,748758,-1,824979,-1,353543,438282,-1,310220,-1,432143,889764,-1,-1,-1,510390,-1,-1,446808,-1,-1,435716,802384,134042,488030,837176,390523,698319,309077,-1,-1,-1,-1,69108,-1,163068,-1,157591,-1,52097,-1,-1,69642,175894,-1,327742,-1,-1,-1,-1,-1,-1,561274,-1,-1,-1,641736,775909,-1,-1,-1,875610,528099,846701,-1,-1,633217,-1,822135,-1,467157,-1,441849,-1,203467,-1,-1,885659,208951,-1,-1,-1,640729,281718,-1,760444,892724,-1,-1,-1,113445,-1,-1,511801,628242,1346,-1,-1,67372,848057,-1,-1,-1,935991,-1,-1,-1,-1,370506,382144,344379,-1,-1,-1,309367,598846,672209,644518,424967,-1,702913,-1,982618,-1,604637,-1,-1,294056,600786,-1,-1,-1,-1,256665,-1,203889,-1,148596,-1,-1,-1,-1,-1,-1,720671,-1,-1,430428,266871,-1,44560,601795,368063,511025,-1,472867,-1,118246,171829,340102,301837,335008,-1,-1,-1,-1,257939,850016,-1,791317,981974,-1,220954,-1,807151,-1,-1,514462,983915,863941,158761,-1,275261,-1,-1,-1,775224,-1,459159,-1,-1,874628,-1,78429,-1,858971,397517,-1,198689,545924,388295,178277,304755,-1,-1,128194,472088,101152,-1,689690,260309,-1,-1,-1,746113,-1,39276,-1,980734,529721,-1,996235,623809,-1,14902,343185,26557,-1,-1,96780,-1,758432,-1,-1,81585,727750,-1,60696,-1,77003,-1,-1,-1,-1,496032,-1,134860,868233,130800,-1,113851,851849,-1,-1,-1,-1,-1,-1,-1,930876,917236,-1,315931,-1,-1,359088,558950,948753,393798,-1,-1,-1,-1,-1,907875,612729,-1,191475,-1,553675,-1,142901,159605,-1,-1,594208,-1,-1,739987,765729,-1,934242,26588,590874,-1,879483,775302,-1,476196,113581,813614,499708,-1,-1,462119,463302,485246,-1,594014,-1,-1,831373,790103,-1,400871,-1,786469,-1,-1,482688,115061,437214,62662,593075,-1,-1,955153,-1,-1,-1,-1,502037,-1,232834,-1,-1,700597,-1,647710,-1,-1,908093,-1,663491,-1,-1,-1,125433,461629,-1,-1,-1,18696,199175,-1,237244,-1,837092,-1,613594,-1,-1,157638,453548,883367,-1,110614,194649,-1,-1,-1,-1,644451,842472,282784,-1,-1,272706,-1,-1,235635,-1,152269,682842,-1,678420,-1,324804,-1,603505,-1,488678,-1,603563,116520,-1,426189,-1,-1,-1,453326,-1,446692,-1,26153,148974,-1,-1,-1,480764,-1,-1,760591,123803,-1,437475,354832,962014,219788,-1,-1,969726,93691,475443,-1,504437,431358,-1,44982,-1,476773,-1,916964,-1,-1,388111,-1,442547,-1,62972,-1,-1,623146,799460,-1,-1,-1,-1,517381,215563,21607,-1,257455,943042,622862,-1,439217,225041,-1,-1,809710,-1,-1,-1,-1,289625,-1,655261,663514,-1,718549,731945,-1,-1,-1,-1,-1,-1,-1,-1,848378,-1,943774,103604,-1,286331,-1,285719,-1,299940,401066,366103,-1,361754,932399,-1,915943,190434,158018,53251,-1,-1,53033,-1,-1,657857,792347,279990,-1,409633,-1,901240,-1,542164,806788,-1,-1,568543,913371,209340,-1,219345,-1,918935,749847,-1,-1,125486,912962,-1,-1,-1,-1,-1,371441,-1,-1,503725,-1,110709,-1,492807,-1,-1,-1,-1,-1,-1,-1,-1,693101,-1,315529,-1,-1,625654,394222,61939,-1,703128,702654,525975,-1,-1,233075,806240,-1,-1,948845,-1,-1,847916,-1,-1,447836,-1,746583,782143,534842,971055,-1,-1,-1,377019,-1,781079,457890,-1,-1,217066,-1,410231,730325,-1,927071,608777,-1,-1,455394,-1,-1,172305,-1,248301,244595,-1,708258,-1,-1,-1,58028,827449,920688,-1,470751,-1,103303,-1,83063,801315,-1,-1,848244,-1,930717,-1,-1,356804,432607,-1,116259,593466,505573,-1,761509,-1,487472,-1,360176,877346,703857,-1,62651,363566,613016,-1,621923,-1,-1,420429,-1,-1,-1,297122,248434,-1,946743,-1,-1,-1,749877,-1,-1,-1,-1,707345,-1,-1,-1,-1,79260,-1,631248,953233,-1,-1,10243,406105,-1,156627,528142,766836,-1,899834,-1,318652,11433,-1,834193,910116,645693,837234,-1,238463,654152,-1,520195,519305,278328,-1,208016,338962,276839,99298,649048,64753,-1,-1,468346,-1,439665,971864,-1,-1,121257,353981,369284,-1,-1,-1,842731,847061,386095,450700,695714,-1,770243,-1,-1,930973,352401,-1,-1,854245,-1,225670,-1,767500,331591,-1,755249,-1,-1,-1,-1,-1,249138,847382,846266,-1,776210,-1,836102,-1,430897,-1,250084,-1,908267,92184,-1,-1,-1,-1,737781,604414,567798,-1,72067,613469,-1,-1,489014,353229,530220,-1,75616,-1,632928,-1,79140,-1,789220,122366,-1,264124,-1,-1,-1,-1,-1,772473,212361,-1,-1,370242,-1,924189,-1,16519,-1,-1,693731,340100,-1,620024,-1,561557,854371,977306,-1,-1,-1,-1,-1,41984,919407,614575,-1,-1,597667,570925,709506,417402,-1,561547,766691,-1,592537,820673,-1,902752,-1,-1,-1,-1,889568,80692,-1,-1,36963,460459,386028,147869,-1,771405,807389,814612,911895,342705,-1,-1,-1,-1,-1,8341,338054,216250,-1,107249,798101,12470,480427,-1,832359,-1,-1,120104,44384,280589,911723,-1,-1,226954,-1,979505,-1,22875,13723,833878,-1,-1,-1,850459,-1,65815,660893,-1,-1,-1,-1,587654,-1,-1,-1,523280,336660,994011,169033,160753,-1,43951,642899,533574,234717,832315,-1,-1,406360,368646,725023,-1,717453,-1,-1,969546,79654,-1,-1,864744,-1,-1,642214,195639,533400,461343,-1,-1,989050,844137,-1,-1,122245,845183,-1,-1,232116,-1,111557,763659,-1,-1,878969,-1,-1,374855,817405,153237,730800,611378,209155,-1,-1,981144,-1,725716,-1,37258,-1,2593,-1,126758,362521,-1,497525,-1,616893,477711,-1,160553,244351,907577,-1,283572,-1,60197,-1,-1,-1,-1,-1,-1,365678,-1,761860,-1,-1,70912,111169,-1,106099,-1,974890,44686,580546,-1,863994,-1,90401,-1,-1,-1,-1,-1,-1,-1,-1,355492,-1,467790,-1,-1,-1,-1,417788,-1,-1,-1,-1,463964,66541,547133,930512,-1,-1,11612,278512,419376,-1,-1,292393,47731,-1,-1,226620,941345,330286,-1,895399,-1,964473,-1,-1,774367,501083,619181,-1,623292,959480,88819,369249,797132,239877,586767,196802,-1,-1,-1,707215,823299,340731,-1,878669,169637,184548,-1,-1,-1,828458,-1,310330,425586,232204,-1,165126,714393,-1,-1,691640,-1,689745,453164,979317,-1,-1,-1,-1,550188,-1,-1,-1,910322,-1,642782,-1,-1,-1,952454,526576,497074,316194,819894,-1,599861,547725,-1,-1,844877,321129,-1,-1,944800,-1,176922,146912,574610,965613,-1,946672,669964,-1,181116,-1,-1,595210,-1,608554,-1,-1,-1,-1,915239,-1,-1,303289,-1,489156,-1,467133,-1,-1,-1,-1,-1,463673,-1,602708,-1,-1,259644,108842,-1,788999,-1,541019,-1,-1,836089,577190,437641,4066,329637,-1,809041,707946,-1,260321,557246,-1,594984,185668,266394,288660,-1,-1,396,359597,471122,998398,-1,-1,-1,607208,419391,-1,915099,882970,222504,-1,-1,740455,429544,297691,-1,-1,-1,-1,565076,551379,696833,-1,570125,247256,869063,675552,673512,-1,931239,-1,-1,545167,-1,-1,-1,106683,179814,-1,-1,-1,508783,759691,-1,-1,973851,301459,918911,37252,604489,-1,108431,-1,230523,-1,-1,-1,-1,145973,-1,872506,837027,-1,355498,-1,-1,310133,324437,534123,-1,-1,-1,-1,821691,-1,640969,-1,899752,-1,572157,-1,481629,259630,-1,-1,-1,-1,-1,-1,924318,-1,534041,623172,-1,497662,-1,256021,416681,-1,-1,670077,-1,643430,-1,302799,-1,495089,-1,830556,693687,500064,233712,550694,579501,-1,942298,870143,-1,-1,940780,533790,-1,766621,-1,-1,280561,-1,-1,613822,-1,-1,182793,199036,124751,980251,402318,205168,220611,-1,-1,7402,959564,957823,-1,888420,224916,729787,-1,493396,346221,512784,-1,339466,-1,435586,526619,5259,84497,-1,-1,-1,371920,700850,663990,-1,765347,-1,-1,-1,-1,-1,-1,-1,-1,-1,14123,247049,498342,-1,-1,-1,571075,-1,228208,615428,56607,196816,-1,-1,-1,239640,2,926503,950874,-1,971195,363044,-1,969338,-1,102572,936673,-1,853758,-1,-1,-1,-1,-1,664789,842940,-1,-1,-1,-1,381135,-1,950515,-1,287162,-1,-1,-1,-1,-1,586987,794034,-1,544258,-1,-1,-1,-1,-1,578886,-1,395051,556766,-1,461510,379326,-1,602720,-1,552644,-1,905644,404467,-1,-1,918254,323252,88310,-1,692572,699646,846063,-1,516754,745553,-1,352791,-1,-1,682941,-1,147870,-1,749348,-1,-1,-1,-1,-1,-1,-1,-1,-1,883198,270614,355322,-1,-1,830554,933181,46205,-1,-1,-1,451526,-1,358872,247617,610109,-1,600320,-1,-1,-1,-1,202534,-1,-1,6240,855635,184900,-1,-1,-1,496836,-1,9304,-1,-1,-1,-1,-1,439255,-1,5255,486640,-1,386677,-1,-1,642308,-1,-1,-1,-1,547370,-1,-1,-1,497213,896815,-1,-1,-1,378865,-1,-1,-1,-1,-1,-1,571630,850440,-1,798133,-1,598155,317132,890289,-1,-1,-1,424910,-1,-1,-1,-1,-1,-1,612633,934174,12204,871393,840073,188387,235735,981122,691547,526138,-1,477680,-1,-1,-1,82825,593710,616370,671568,-1,880169,835041,-1,40564,-1,14683,-1,-1,-1,995340,-1,211971,735717,-1,255297,523415,797829,781849,-1,408359,378958,-1,770347,-1,-1,-1,-1,-1,816929,36619,-1,982296,924713,704962,289140,898998,-1,968708,337719,-1,-1,-1,-1,-1,-1,-1,464818,-1,-1,-1,36595,797409,-1,-1,-1,732486,-1,-1,44470,-1,-1,-1,412111,176880,-1,-1,910730,-1,-1,222247,-1,-1,-1,-1,700238,-1,895861,-1,-1,985334,-1,914740,-1,-1,-1,133757,-1,-1,704073,-1,-1,-1,-1,993856,660021,646837,-1,-1,367128,255008,43167,-1,-1,-1,588888,254321,-1,-1,481163,292501,-1,-1,-1,445739,357691,401010,960332,-1,-1,-1,376884,114152,117751,-1,-1,748945,-1,190964,650860,20881,-1,-1,-1,225716,-1,-1,-1,628076,-1,214809,929263,-1,-1,984915,-1,-1,52246,-1,552742,-1,982189,609456,-1,-1,-1,408508,-1,-1,-1,792915,-1,-1,-1,264521,190536,-1,96787,-1,885295,206991,832544,-1,429885,-1,695333,515428,170451,388764,-1,-1,-1,313988,222186,-1,92808,-1,-1,636106,-1,625435,56975,-1,189007,-1,-1,-1,916012,-1,63342,-1,759160,-1,-1,992253,349467,-1,806978,-1,-1,-1,733549,671473,-1,127457,-1,-1,978553,-1,26843,-1,517143,-1,105203,-1,361520,419563,8167,-1,-1,499417,-1,839938,-1,333702,89897,821501,-1,-1,107351,696894,610975,48162,783650,-1,803739,-1,713079,-1,412281,-1,-1,-1,41930,407408,-1,-1,5935,374619,-1,115939,358195,265686,938697,772742,-1,-1,-1,654259,970363,-1,904657,740626,-1,-1,-1,493550,565310,-1,925603,-1,-1,478718,-1,414776,641559,129842,-1,832982,181339,686958,-1,-1,54521,553270,94989,-1,-1,-1,865400,-1,-1,-1,613902,981390,662232,80101,649254,-1,-1,720659,51547,-1,68376,-1,981587,973281,780288,-1,388618,409802,-1,408984,-1,850623,351691,-1,463537,-1,-1,392968,425953,676418,445225,296698,121710,-1,-1,497241,593715,872438,-1,558590,33544,252621,-1,-1,940259,-1,-1,66285,-1,-1,-1,359048,75388,462246,-1,-1,-1,-1,55987,-1,-1,-1,70136,-1,-1,-1,732058,-1,192906,-1,-1,-1,965187,-1,470705,-1,186235,-1,-1,104721,356368,618835,-1,37580,351856,-1,220089,62251,857803,-1,421976,-1,-1,-1,27992,835295,-1,-1,-1,-1,78542,-1,-1,-1,-1,-1,-1,484975,-1,-1,923905,657076,-1,-1,-1,927469,62683,160546,-1,-1,-1,768028,298191,-1,-1,408604,-1,302456,933073,-1,-1,-1,156974,-1,981207,160288,311282,788988,72811,-1,806274,-1,-1,-1,207914,-1,-1,-1,970178,550633,-1,-1,-1,-1,643475,-1,-1,-1,-1,774798,-1,-1,-1,-1,-1,-1,753638,-1,-1,-1,770268,907015,-1,-1,193620,-1,375047,994603,-1,637081,449336,-1,-1,859342,-1,-1,-1,570546,-1,-1,392286,530202,97292,934555,956414,-1,-1,900434,-1,-1,642172,-1,345120,-1,808655,593243,626543,716583,-1,-1,833455,769075,925389,-1,-1,-1,-1,840287,373035,124436,-1,-1,702076,757275,-1,27632,-1,-1,-1,319915,733561,-1,-1,197614,709107,192620,-1,-1,997647,129497,-1,723822,-1,-1,-1,188005,-1,110257,366371,585110,110663,890711,-1,-1,961337,-1,-1,-1,536796,-1,125264,-1,-1,425881,57660,-1,645048,825140,-1,620577,376800,346513,-1,954568,-1,833200,513395,-1,800382,309008,-1,-1,-1,593191,441581,357756,670749,-1,587902,180873,-1,-1,334269,-1,788104,594787,-1,621254,22096,-1,429962,-1,-1,-1,-1,980026,159218,27610,536113,-1,814752,-1,514623,-1,-1,468246,-1,165383,-1,253179,45421,606158,366641,522155,-1,-1,-1,687143,647518,-1,183090,-1,-1,479712,-1,-1,-1,511858,-1,-1,748716,254326,-1,-1,782634,859354,741602,-1,641116,197263,272381,-1,163864,-1,968896,-1,-1,-1,-1,540417,511849,717936,290288,-1,-1,-1,-1,-1,-1,-1,501780,-1,816508,-1,-1,-1,-1,-1,586692,-1,178413,51511,-1,811797,851996,-1,938058,-1,837064,326334,-1,913727,782860,166395,-1,-1,426367,343041,-1,579043,-1,513266,-1,575414,564122,-1,949588,-1,-1,904805,333382,-1,-1,384474,921099,-1,-1,46935,-1,428888,-1,139291,547831,361196,-1,964685,-1,264468,197075,672749,-1,-1,468089,-1,737390,695124,464855,519451,455697,-1,-1,-1,67952,-1,-1,-1,15447,-1,-1,-1,580313,-1,227321,82969,836152,-1,456483,862334,42439,-1,833044,723151,939044,-1,-1,580500,-1,-1,-1,480532,-1,764561,14636,111318,-1,-1,445257,937680,36180,804815,534505,615714,-1,-1,250101,494669,-1,-1,-1,892740,-1,-1,670436,-1,-1,-1,213287,-1,-1,-1,719907,577598,796176,887861,-1,-1,430932,293916,-1,-1,-1,-1,964032,-1,123468,-1,699940,-1,-1,94162,-1,-1,827540,369469,-1,-1,761932,707306,-1,672137,-1,625047,164048,-1,943081,229815,268060,-1,837371,703835,-1,194673,-1,-1,605976,-1,449601,-1,-1,204442,607991,-1,942918,-1,953214,-1,750122,792795,588341,534308,-1,304324,-1,937028,-1,-1,-1,260436,-1,921707,939803,-1,964217,-1,624515,108758,-1,-1,354508,495042,824673,250731,292697,676864,-1,-1,-1,288502,-1,-1,-1,905297,415143,207611,839237,-1,275667,215752,-1,335237,-1,685399,-1,891660,968091,-1,938849,-1,293884,684067,186320,-1,478618,-1,805282,946624,-1,302624,124221,-1,706543,-1,829145,-1,-1,371528,47586,853633,-1,303664,-1,732416,-1,-1,-1,139264,749053,-1,699904,445053,484159,-1,769526,-1,927001,-1,507447,108394,-1,674052,97299,-1,319814,959050,-1,-1,-1,-1,561666,-1,-1,-1,-1,901459,551697,649930,656281,-1,-1,-1,545246,173539,-1,-1,219690,203684,859969,-1,366276,-1,-1,850500,-1,-1,519777,-1,944651,-1,353291,158743,-1,-1,-1,346964,-1,860023,152451,-1,-1,310147,-1,-1,909283,-1,605339,515393,628367,-1,351211,717556,-1,-1,382654,56768,98038,326198,-1,-1,-1,441769,-1,807570,693973,200051,193381,-1,385203,-1,207836,-1,660593,-1,267229,451876,413587,-1,-1,-1,418286,312668,299684,343501,653929,-1,-1,331186,-1,76033,-1,942559,466048,-1,-1,-1,-1,473425,-1,-1,699514,-1,366301,596673,-1,-1,227379,899387,-1,-1,547635,730307,-1,767014,885463,512360,846974,89086,-1,478993,-1,687445,-1,897090,-1,-1,-1,-1,-1,-1,127023,-1,-1,615449,-1,-1,140296,530158,-1,-1,-1,-1,375710,431570,-1,-1,683539,691607,-1,158725,618623,-1,-1,842548,-1,979039,-1,-1,-1,510676,262088,-1,-1,337496,-1,194907,-1,-1,-1,578344,309057,752309,481416,320852,-1,616257,700695,-1,-1,-1,-1,-1,343710,148807,864525,103916,-1,-1,272132,-1,-1,474837,980262,402418,-1,-1,-1,-1,-1,21040,-1,136632,437089,-1,-1,995261,-1,630838,984470,426544,-1,-1,322345,348057,56814,-1,-1,-1,588395,-1,58076,443515,-1,56050,-1,-1,-1,-1,92806,278185,-1,517575,880487,274636,-1,-1,221466,-1,209562,9181,718619,-1,339861,-1,-1,261865,250686,694419,-1,194995,-1,590127,981009,771151,-1,969234,68063,228697,-1,929553,181392,713733,-1,-1,-1,-1,753135,918337,316508,-1,134629,-1,-1,-1,125531,45822,-1,842513,-1,-1,-1,-1,-1,-1,-1,-1,437841,283633,-1,387726,-1,507352,21269,-1,-1,39259,637288,408529,961009,931334,392830,-1,-1,959844,548464,318761,-1,-1,82376,826210,819825,917060,903848,-1,582481,-1,-1,124495,589835,357535,899212,-1,564959,-1,926333,-1,-1,-1,660056,617185,237422,-1,205948,104155,791734,-1,-1,-1,-1,149403,-1,444847,-1,-1,144536,913338,-1,285255,323235,-1,308978,-1,487120,571574,12900,335807,886372,-1,750341,-1,359265,-1,510070,316038,75152,-1,540482,-1,72600,-1,-1,792485,969257,80819,826478,-1,-1,828165,-1,449861,-1,335995,668403,519758,-1,-1,439800,-1,690662,-1,716884,-1,668149,-1,-1,-1,656944,597794,41027,640317,695344,641886,927320,882074,329371,912872,883466,-1,360140,-1,-1,384825,-1,-1,901037,68560,-1,147103,-1,-1,203979,-1,-1,-1,-1,74876,658764,495310,-1,739296,-1,140997,994574,-1,593461,676525,570341,807671,-1,-1,143574,-1,378589,-1,-1,630106,-1,188472,-1,928190,563776,-1,-1,325657,988495,-1,-1,240792,-1,816919,359528,-1,594080,-1,887428,845665,786519,943948,-1,996157,467885,-1,-1,538231,-1,-1,221774,207472,606004,454982,-1,917434,699825,-1,-1,-1,75671,-1,260505,281888,-1,-1,632332,84538,-1,728118,-1,157453,774265,-1,864306,655120,121811,255085,-1,-1,196118,-1,813,107174,-1,375053,-1,-1,98768,-1,-1,-1,837317,873057,668436,-1,-1,710747,952419,573626,-1,-1,-1,-1,-1,390204,-1,829043,-1,70807,270864,-1,-1,95199,-1,366792,31569,267067,-1,327222,41232,50905,652891,-1,696245,-1,-1,-1,64446,130510,946803,-1,-1,200442,-1,-1,-1,-1,446060,-1,-1,-1,-1,-1,210128,-1,383472,703969,384049,-1,648270,-1,-1,-1,-1,647277,26813,374916,-1,-1,-1,411219,-1,771576,223425,203009,-1,79657,-1,-1,-1,195077,-1,980137,-1,-1,-1,-1,-1,-1,210471,220394,437751,934492,10803,-1,26796,679155,-1,-1,-1,-1,-1,797837,70543,57772,522403,-1,-1,-1,678527,761950,275810,79121,40083,-1,-1,875334,-1,-1,899193,-1,381935,-1,-1,597643,-1,-1,-1,-1,975420,812088,-1,284131,18951,325830,270582,521493,829528,-1,569185,-1,868174,806874,378084,75783,-1,-1,789608,-1,-1,-1,33958,-1,-1,819159,-1,250978,-1,970452,-1,959212,802105,735820,-1,-1,-1,816697,-1,-1,-1,814388,-1,-1,-1,-1,-1,506830,420416,537303,684115,648408,886325,-1,-1,162756,-1,-1,-1,-1,983350,-1,-1,-1,-1,963377,745008,315077,-1,-1,911851,751069,-1,-1,76292,-1,-1,787023,-1,-1,173563,886826,34536,-1,954586,881117,-1,-1,738698,545533,-1,773986,-1,-1,-1,-1,-1,-1,-1,120357,965615,-1,-1,633040,-1,-1,525281,-1,249704,928185,566029,455953,-1,-1,61490,731716,-1,-1,-1,-1,386084,753194,-1,914576,696106,719641,639880,782323,181114,-1,-1,576074,876864,-1,-1,644780,636917,-1,787900,373397,-1,-1,-1,-1,924414,-1,893000,818382,-1,-1,-1,681614,-1,-1,-1,-1,-1,-1,-1,-1,-1,927157,951356,-1,-1,-1,690788,-1,-1,902216,-1,-1,670385,-1,-1,369527,-1,445234,-1,95555,-1,225891,115792,54026,-1,175103,640951,615949,-1,698518,-1,225922,140951,-1,459938,-1,147347,-1,643538,-1,-1,417407,766453,-1,928923,886089,-1,-1,-1,-1,-1,-1,230206,493051,542188,931915,317840,304898,92549,-1,779152,-1,793955,381342,-1,641191,-1,834012,-1,145437,-1,-1,189401,729685,-1,-1,308955,-1,339024,540858,-1,-1,-1,-1,-1,-1,159538,643282,-1,-1,953589,888025,-1,-1,-1,889604,672303,762540,94486,864434,851726,-1,406099,908428,-1,996446,498421,-1,-1,326316,-1,376910,157295,-1,118633,-1,948947,-1,766295,343051,-1,-1,-1,411186,-1,-1,495449,-1,217944,615132,604203,-1,-1,-1,-1,-1,-1,-1,232867,865244,795101,893820,980922,37089,-1,590708,-1,265604,58026,-1,-1,489198,787878,40700,-1,837514,939396,-1,366087,421738,-1,-1,407619,821481,-1,-1,368138,-1,419798,348860,-1,-1,-1,-1,751767,-1,-1,-1,-1,-1,-1,622527,415956,91369,-1,554529,470717,-1,363497,434424,-1,-1,108398,390625,351668,109790,475024,-1,796753,796157,-1,-1,-1,539878,398883,55317,-1,804314,154800,-1,24189,-1,-1,-1,-1,483737,-1,-1,-1,-1,446097,-1,629196,-1,-1,-1,-1,-1,796013,410578,-1,-1,-1,320770,141902,-1,-1,930018,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,453919,69351,-1,40139,261209,-1,-1,310959,295632,-1,628256,72277,-1,-1,-1,-1,437766,848858,694664,-1,-1,-1,-1,-1,-1,236468,-1,448388,101377,-1,-1,128902,-1,134234,-1,963602,21718,-1,769567,-1,217447,921670,838437,427502,933036,-1,716477,530689,762402,-1,827407,-1,-1,-1,-1,289940,341211,475989,-1,144860,-1,80015,-1,42886,-1,208363,565433,-1,914450,701107,712630,637381,-1,-1,562169,-1,-1,-1,843404,-1,226380,-1,-1,-1,-1,243019,-1,-1,661973,-1,410933,886256,628828,598777,-1,-1,317579,-1,-1,-1,-1,70962,698792,-1,-1,-1,-1,88494,479818,73656,459504,-1,-1,-1,-1,736351,-1,-1,445944,-1,177855,61993,-1,154707,369082,-1,-1,-1,839941,641686,244931,-1,-1,-1,-1,-1,899435,721036,-1,498824,1507,16911,-1,-1,129553,694261,299496,355011,212880,183221,80075,-1,859861,-1,523726,207338,-1,-1,-1,-1,389276,513841,423483,626383,379733,-1,-1,-1,357830,-1,564465,-1,170265,852465,60667,-1,-1,205159,-1,231058,483537,617605,-1,583208,-1,786973,873973,-1,881243,-1,377158,-1,320328,-1,90843,-1,-1,-1,367467,258105,-1,285194,691095,907081,-1,-1,249493,189033,634587,627395,-1,-1,137647,-1,474933,610868,-1,191502,-1,-1,-1,396880,893315,-1,923573,-1,-1,938725,-1,373366,215493,81702,229068,-1,-1,-1,-1,-1,935763,776635,-1,217619,-1,-1,-1,-1,780392,134334,659753,-1,751822,-1,-1,-1,-1,342010,-1,-1,-1,-1,639835,-1,583029,83004,-1,-1,21689,-1,-1,746794,-1,-1,-1,-1,350991,-1,869534,-1,114745,767581,315745,-1,580633,-1,-1,682234,785651,-1,-1,-1,-1,-1,188842,48015,494335,521625,67141,442920,614558,-1,-1,-1,-1,-1,-1,-1,577127,-1,970056,350091,-1,-1,-1,-1,-1,921757,-1,-1,-1,976436,-1,606572,395328,-1,357031,-1,-1,-1,-1,-1,-1,467705,562442,19221,293062,837355,155103,334898,897250,-1,-1,250826,547923,36570,-1,158197,-1,621711,709616,-1,827446,-1,521246,-1,-1,103290,-1,-1,-1,-1,838252,461653,551891,-1,-1,52407,22272,-1,616360,826580,74522,-1,864437,53850,-1,174480,667347,253965,561819,352199,-1,-1,-1,-1,321309,254031,749369,467945,563411,-1,309553,-1,-1,-1,99958,-1,71410,703527,-1,129727,-1,19,-1,-1,-1,-1,-1,-1,-1,975331,637684,311902,-1,-1,667168,446827,502005,38942,-1,765152,-1,-1,740821,280454,-1,385193,883881,-1,-1,-1,-1,615429,-1,473430,-1,543156,557078,37765,136513,589612,-1,573667,-1,255423,-1,-1,91685,640295,126803,123644,555490,-1,333360,-1,-1,-1,339774,144883,-1,-1,495074,-1,976656,55587,-1,391877,-1,-1,-1,380714,297959,-1,104789,-1,-1,-1,-1,980566,-1,532635,429198,619774,91145,-1,-1,-1,-1,-1,682930,539388,-1,-1,-1,382781,-1,-1,-1,-1,-1,-1,-1,200135,-1,-1,127360,-1,950810,-1,-1,-1,114332,-1,954591,-1,-1,-1,793195,-1,55002,-1,871686,-1,512504,580388,237007,-1,-1,-1,-1,847112,82353,-1,-1,938339,471636,438803,697122,-1,-1,370073,-1,-1,460687,24597,-1,595424,-1,-1,-1,-1,218341,-1,-1,-1,264907,-1,689393,582684,-1,626165,-1,-1,846241,-1,-1,15384,-1,-1,135385,-1,-1,959138,-1,567646,366780,453233,-1,-1,-1,-1,316893,-1,149440,374024,989339,-1,54346,-1,974774,402345,-1,-1,-1,-1,-1,617700,-1,4372,-1,-1,835554,745140,25429,-1,691914,295211,-1,254572,850713,-1,258104,-1,-1,532680,-1,198277,349899,-1,-1,569514,-1,-1,508269,-1,419669,-1,-1,378816,-1,737936,761606,-1,-1,-1,-1,-1,466345,260201,-1,163593,985361,308222,643210,-1,598853,-1,-1,-1,-1,538537,-1,866779,-1,174005,173831,934737,745806,443836,433779,270405,939311,906010,-1,-1,76340,606588,-1,884257,257910,-1,377151,880792,422916,-1,777639,-1,-1,-1,714097,-1,894730,191885,-1,194085,-1,-1,-1,-1,504025,915639,35843,-1,282727,-1,776314,-1,821254,-1,-1,-1,-1,-1,-1,-1,-1,-1,359034,-1,443221,-1,-1,107997,489431,604581,-1,-1,-1,-1,-1,257619,-1,-1,-1,-1,-1,537587,13047,-1,-1,180963,93169,99921,-1,-1,-1,27498,969123,940467,803961,-1,82668,-1,114569,206438,458345,-1,399448,959577,705646,315370,-1,-1,299460,-1,-1,-1,298146,632192,-1,-1,-1,703893,142517,-1,-1,485945,-1,103996,-1,331836,318411,687774,649011,-1,145512,449047,244322,769105,-1,922876,-1,-1,504088,-1,-1,-1,-1,341319,352225,-1,927078,-1,-1,-1,890227,-1,-1,-1,567187,840514,-1,275205,-1,-1,-1,978266,711559,-1,49572,950532,-1,-1,125356,436352,509985,550644,834164,-1,987983,-1,-1,670999,-1,468993,-1,-1,-1,421196,846308,-1,-1,-1,512419,-1,146082,27444,975869,-1,-1,541110,383419,-1,670028,-1,-1,-1,-1,-1,235013,749469,-1,-1,-1,753906,-1,-1,462339,-1,833575,697320,-1,-1,-1,-1,-1,836160,550380,-1,-1,-1,610985,-1,-1,441170,-1,-1,974562,781574,-1,678716,-1,475216,-1,352282,4177,633044,652926,436025,864727,942087,-1,554221,645685,585184,-1,627580,-1,470437,-1,200752,-1,472281,799183,-1,-1,383915,891824,-1,940585,736525,324443,530304,691382,-1,292108,-1,-1,834395,-1,894779,151953,-1,-1,-1,-1,378824,-1,-1,150212,-1,-1,882564,171702,788500,-1,937425,-1,-1,523709,-1,-1,237872,-1,-1,466294,904048,531144,973368,602186,607814,791038,457718,653738,-1,-1,309316,-1,368730,787942,488572,-1,-1,336332,521832,-1,-1,811309,242107,982805,354263,174198,-1,119123,12357,879944,-1,-1,-1,969816,-1,-1,946039,-1,-1,975584,-1,573337,915252,-1,-1,-1,-1,795650,-1,574543,233770,-1,434302,108138,-1,-1,-1,628345,659381,-1,-1,503045,405964,-1,169526,-1,-1,972326,-1,981287,-1,-1,-1,489000,-1,-1,589037,587493,-1,-1,-1,-1,-1,176520,301788,801711,745580,610842,-1,982935,855911,-1,-1,-1,-1,-1,118011,64139,784195,545263,-1,698607,597428,-1,-1,-1,152801,-1,-1,6360,-1,668556,439997,-1,964713,-1,65299,778377,-1,332040,100896,9290,-1,295165,-1,830267,664208,-1,430708,-1,710716,655514,728432,-1,71664,70177,-1,-1,260866,895532,92690,-1,-1,649791,-1,-1,14251,953152,633895,166110,997308,-1,-1,-1,940077,-1,-1,-1,-1,77599,-1,-1,-1,875530,642559,-1,747573,622416,984386,755381,29001,64038,-1,-1,-1,-1,354616,331557,-1,-1,438164,297607,-1,150120,660823,843687,760153,318372,-1,-1,-1,241444,-1,954246,131957,-1,776913,166583,-1,-1,626220,95372,-1,994520,-1,147156,-1,-1,148645,588479,-1,-1,161377,-1,-1,969972,-1,-1,25314,353361,41901,-1,947999,-1,516158,410647,-1,698208,426510,-1,-1,-1,887457,-1,-1,-1,-1,-1,950537,-1,-1,-1,869373,412682,463111,-1,441141,201636,-1,961501,-1,-1,852954,557699,-1,154082,-1,-1,609530,-1,690161,830909,602121,-1,159598,441936,57262,-1,-1,250777,361619,-1,786956,720847,895844,709634,628475,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,695307,710118,983381,-1,-1,860225,-1,-1,-1,-1,701544,-1,948672,-1,-1,34737,-1,-1,578246,819862,-1,-1,-1,758159,-1,-1,47294,-1,-1,-1,-1,733206,-1,230322,-1,223397,669753,444983,-1,-1,753312,-1,-1,-1,-1,919124,42798,-1,-1,-1,506363,554350,448317,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,102903,141830,837416,36913,-1,686558,844143,-1,-1,-1,-1,-1,-1,187284,-1,762817,-1,615523,-1,-1,-1,-1,16961,-1,483826,654907,-1,-1,-1,-1,225442,-1,95211,-1,-1,737147,-1,318507,-1,615470,929676,697203,181513,365525,-1,468353,-1,572187,841512,565621,-1,373810,680329,-1,696675,404874,-1,706546,52256,-1,-1,115821,689443,-1,939242,-1,-1,34859,-1,421017,147403,-1,226066,-1,544693,-1,405783,-1,1594,-1,-1,670097,-1,-1,487704,851,899135,922478,948820,-1,402764,512126,670181,-1,-1,579781,-1,711422,-1,6932,-1,875584,236388,568916,126770,691975,-1,-1,640616,-1,-1,-1,-1,590629,497755,-1,446002,907645,-1,-1,-1,864882,817985,238382,-1,614615,449308,773890,378815,475406,-1,678618,62699,-1,-1,554005,-1,535831,-1,-1,-1,90987,427669,-1,-1,-1,417929,34319,-1,38689,-1,640183,645320,-1,-1,-1,-1,789420,-1,648294,-1,-1,-1,857562,-1,784668,-1,-1,427729,-1,500539,20048,-1,27735,-1,682385,-1,552292,-1,-1,551480,-1,862498,366632,543839,-1,-1,687234,-1,302484,942523,-1,171541,867766,-1,-1,884288,-1,-1,-1,-1,-1,548367,-1,-1,160063,-1,816248,-1,941219,-1,186948,672549,620909,92376,-1,-1,-1,-1,29166,-1,720240,-1,-1,-1,976264,466758,-1,-1,-1,330852,97071,-1,599094,-1,-1,62909,-1,288707,-1,-1,-1,856440,818927,-1,364431,347542,-1,230916,133874,-1,970283,-1,2630,-1,820799,-1,246479,580227,317604,-1,-1,-1,-1,118931,638329,431260,-1,-1,464233,-1,863550,-1,511574,376738,134178,625672,-1,-1,-1,-1,836801,451916,-1,759670,553893,447174,766066,-1,879840,957952,806160,-1,-1,-1,-1,-1,894946,-1,-1,-1,-1,-1,-1,-1,-1,305215,25325,76738,529437,638947,370326,270193,-1,631250,550908,-1,21214,792467,-1,-1,765959,-1,-1,-1,-1,-1,61896,959657,416774,-1,-1,-1,965664,552978,-1,-1,-1,833763,-1,695163,532632,-1,282830,283607,140016,153415,236425,169216,379134,-1,585,735278,-1,41082,-1,-1,730847,-1,-1,-1,290142,605300,-1,194052,-1,-1,424440,983797,335652,-1,-1,707297,136284,758145,585470,5811,-1,315980,47185,929507,356051,886101,171583,-1,48585,691356,854142,-1,399516,272534,557354,730273,61981,394369,418141,-1,217102,-1,717555,493818,-1,-1,-1,-1,-1,631570,335893,595963,-1,-1,486621,-1,-1,834177,567204,-1,-1,341053,-1,-1,-1,-1,984573,-1,447282,115871,-1,195554,-1,-1,990975,-1,-1,-1,-1,237120,-1,461497,-1,563988,391448,-1,-1,-1,146207,-1,649883,851108,779313,-1,510777,-1,-1,894456,-1,686290,581061,646055,-1,-1,-1,-1,352704,260463,364231,-1,295945,615938,-1,-1,-1,-1,196125,875847,-1,582344,-1,308947,-1,128041,-1,-1,-1,240762,-1,-1,467700,577718,812106,-1,-1,438975,-1,545877,349339,-1,-1,-1,-1,761059,181403,143244,404029,631371,451873,-1,397417,160587,-1,90549,-1,245171,274393,-1,261459,582554,-1,630974,85323,744791,876000,-1,-1,862594,595089,-1,-1,251557,-1,11831,-1,620983,-1,-1,794847,-1,757895,723244,-1,-1,-1,-1,293016,-1,74211,439844,21414,64360,-1,-1,-1,-1,-1,675157,274312,225408,-1,-1,-1,264869,897756,544666,-1,-1,379254,-1,120180,-1,-1,-1,414261,200897,-1,789123,-1,-1,-1,-1,-1,-1,-1,463203,237831,-1,667884,694500,-1,-1,749551,266103,264398,-1,-1,-1,-1,-1,-1,-1,-1,-1,970417,-1,-1,602990,-1,845953,322802,-1,-1,-1,263509,584202,-1,-1,157558,-1,654318,515511,-1,239626,-1,405094,-1,700502,99041,-1,-1,749006,-1,649584,-1,-1,700997,981997,-1,-1,108677,-1,696197,904825,839619,-1,-1,-1,-1,-1,769359,946495,861966,643037,997245,-1,-1,938807,333345,427733,704344,-1,286026,636366,-1,-1,-1,12226,885044,800990,291443,596356,-1,-1,-1,-1,-1,-1,56996,523841,874066,-1,678485,-1,611538,417936,811541,-1,75519,622642,974716,235222,829393,-1,802821,923413,602919,169292,-1,-1,369468,699091,-1,711702,-1,-1,-1,663496,-1,225978,-1,-1,43501,258198,572620,-1,26117,60972,-1,388447,-1,750613,23964,780538,221930,-1,-1,-1,970184,508472,392295,810620,122858,-1,-1,585883,171014,-1,-1,21513,686555,570822,488378,555991,336004,-1,857205,133058,-1,798162,-1,-1,38799,-1,-1,947035,487602,-1,940609,283333,-1,124949,783281,967886,-1,-1,-1,-1,-1,461558,765156,578644,398928,-1,-1,-1,-1,722136,-1,416682,-1,447706,-1,-1,847464,59270,491547,508991,-1,156062,-1,295236,-1,-1,-1,-1,-1,-1,-1,774447,-1,979364,965222,876840,-1,461449,995116,356557,-1,-1,332183,984259,-1,330768,190155,536331,-1,822121,-1,836245,-1,-1,427949,-1,-1,405351,500976,-1,-1,981618,866537,-1,591197,737874,730975,-1,950366,294678,776500,-1,886115,-1,-1,249694,-1,217975,-1,331274,27809,639181,173873,-1,672341,-1,247578,-1,-1,-1,290785,-1,-1,-1,605555,-1,-1,-1,-1,-1,-1,872779,5801,254223,-1,-1,856759,-1,-1,585542,-1,-1,-1,-1,-1,580300,-1,261041,976232,424404,645467,-1,501781,-1,-1,-1,106984,-1,665710,283535,-1,-1,825162,-1,-1,110607,-1,-1,-1,910806,-1,-1,-1,-1,239563,-1,-1,929211,367794,296866,-1,212551,-1,-1,-1,92752,-1,139899,-1,-1,523564,875267,-1,159034,-1,-1,-1,902456,-1,-1,-1,-1,-1,-1,-1,-1,129488,-1,156009,811291,-1,841007,592336,475969,-1,-1,-1,-1,616573,251357,41251,932333,74926,730902,251388,634840,-1,545545,-1,-1,979186,-1,-1,-1,977806,156815,184857,-1,-1,-1,254151,-1,86688,-1,-1,-1,439029,-1,-1,-1,-1,651777,304088,-1,14598,-1,-1,-1,852,-1,-1,626135,-1,183146,815999,-1,-1,-1,-1,276966,845525,140892,-1,526717,440890,-1,-1,-1,-1,9273,548525,395841,-1,263241,-1,978552,-1,-1,661986,162394,778115,239419,-1,121120,147329,-1,-1,77615,771310,497086,139585,-1,-1,466458,-1,-1,-1,-1,653876,961143,106343,178804,27765,423059,-1,978271,563259,-1,-1,-1,-1,668799,318331,-1,497972,309751,281005,780227,982633,-1,-1,-1,216114,826285,232215,-1,329474,120014,-1,-1,780650,-1,856629,448036,125955,109822,6317,775794,353064,60841,159391,369282,894988,886081,-1,-1,780758,-1,741683,599610,-1,-1,-1,-1,-1,-1,-1,-1,605761,552496,-1,831673,675045,-1,79814,630705,652011,159762,-1,127415,986818,505130,-1,-1,-1,-1,-1,274752,-1,557894,-1,-1,-1,-1,863888,-1,492497,222297,-1,846907,243234,-1,-1,20915,396314,474356,897905,-1,-1,-1,152958,-1,466839,236297,671124,510823,-1,-1,405789,784798,735612,424754,-1,214995,-1,-1,781303,656246,400854,730725,760615,-1,494703,640369,-1,-1,-1,240412,255658,-1,773256,240557,257942,966378,365372,-1,-1,-1,-1,555333,662799,422961,-1,699128,-1,-1,357773,-1,-1,41559,-1,-1,-1,674457,327914,736802,-1,198155,39455,173545,-1,900122,-1,-1,279695,914422,358616,897455,-1,909020,745037,-1,-1,172050,-1,55031,-1,645513,736119,-1,-1,898120,994482,646433,-1,28995,707111,458438,589568,331008,-1,-1,-1,-1,808627,-1,278442,803333,-1,85192,-1,256791,-1,-1,190483,-1,-1,251668,-1,-1,-1,715705,-1,319279,-1,-1,-1,816179,-1,-1,243925,-1,-1,-1,184502,849949,-1,-1,-1,412637,-1,-1,-1,757602,608041,822757,-1,-1,280913,-1,221484,-1,-1,989000,-1,700019,899295,887976,805085,253425,-1,-1,917421,-1,738283,-1,753399,103094,-1,401271,-1,327614,12406,729438,-1,-1,921916,124553,-1,-1,-1,-1,-1,870907,968510,634068,349858,-1,-1,-1,-1,-1,606608,233859,-1,-1,-1,-1,-1,600802,820544,-1,589898,942670,386692,633105,385555,904795,-1,277308,-1,366880,359709,-1,-1,137746,754890,748609,746222,-1,-1,635766,-1,-1,356473,-1,-1,30359,-1,-1,-1,-1,-1,441237,-1,945689,-1,-1,276274,-1,672623,642255,-1,760488,-1,362449,786685,94449,830734,838058,442625,850840,531099,335236,916968,603620,83166,662700,-1,435358,-1,-1,940594,-1,765787,-1,859041,314604,-1,144393,724059,98081,-1,764722,-1,307026,-1,-1,-1,-1,738057,-1,-1,669879,-1,-1,922895,-1,420157,523668,-1,649308,-1,-1,205623,908063,-1,7789,178130,-1,-1,-1,261978,549751,671311,-1,-1,-1,451763,687618,-1,-1,-1,-1,507099,-1,-1,18633,274476,-1,-1,319372,963350,87239,-1,391551,573747,651468,184475,402902,130043,-1,-1,259619,976825,8394,-1,-1,-1,-1,-1,506246,896555,-1,534711,476230,932443,308851,931336,-1,775884,-1,-1,472716,481696,-1,710480,-1,132302,-1,-1,-1,-1,-1,549615,-1,387668,84093,135292,-1,883081,691972,361708,236533,875053,859401,205891,-1,761367,-1,112625,-1,-1,-1,-1,762902,699482,774585,-1,-1,705501,968625,-1,-1,461141,872093,475586,301044,-1,-1,878295,-1,775851,62667,-1,967091,994340,-1,-1,463068,-1,-1,423989,401091,503104,427714,572324,13501,856247,845860,-1,696889,-1,-1,603283,-1,84378,-1,264121,866290,483061,22617,317934,593172,704034,-1,809087,-1,-1,-1,-1,-1,-1,-1,-1,-1,768043,551570,-1,687657,604904,208635,-1,-1,-1,972443,-1,268080,583023,-1,-1,-1,-1,-1,563220,992273,-1,-1,303900,499867,-1,-1,284052,889660,-1,542784,-1,664724,711700,-1,801971,-1,629697,104401,606928,214319,554838,234033,-1,375424,-1,504269,13104,-1,576709,-1,-1,457182,973386,-1,456839,320672,-1,-1,-1,-1,12504,394733,731383,542839,-1,918996,17651,15796,-1,561945,167370,-1,-1,-1,-1,-1,-1,434596,53238,-1,-1,-1,899019,-1,-1,761959,29417,-1,-1,-1,614133,-1,-1,547793,-1,693068,-1,-1,111559,15698,-1,981557,-1,-1,-1,841255,748721,943148,-1,-1,-1,14600,573903,982863,-1,944281,558382,-1,-1,-1,-1,-1,-1,-1,-1,770232,-1,282103,274260,-1,987811,983158,-1,-1,940415,-1,-1,-1,385527,144578,-1,-1,983616,-1,-1,-1,-1,373314,-1,968842,555304,645350,419481,-1,769360,-1,-1,-1,-1,464801,783433,85520,259803,-1,-1,-1,381613,605855,-1,522367,336008,478439,41325,-1,785258,138945,933186,-1,-1,193561,-1,600433,678524,818680,-1,-1,909133,-1,-1,929898,-1,247357,-1,814570,-1,-1,827336,-1,-1,-1,688841,-1,-1,709806,-1,-1,243786,152177,384941,903946,394437,-1,884115,-1,34796,235120,264027,-1,559069,217872,-1,-1,815523,-1,-1,950743,-1,997705,363261,-1,-1,757571,-1,-1,-1,-1,-1,283932,356652,929779,-1,-1,724256,846741,753166,711924,-1,-1,-1,342974,295129,-1,304150,71362,902514,134188,825807,-1,-1,198634,-1,70349,979057,912810,889613,952355,336163,282590,-1,-1,-1,-1,-1,-1,-1,169208,692375,547715,164995,-1,-1,-1,-1,78772,390230,-1,-1,836011,369030,436162,-1,997674,572089,475633,740076,-1,188382,-1,979483,-1,-1,-1,-1,-1,837301,-1,492458,390091,420097,560902,-1,-1,-1,442523,160644,-1,287505,430667,-1,-1,498841,200395,415585,-1,-1,276663,854981,-1,-1,758347,37901,952407,-1,601152,320030,-1,898953,-1,641310,-1,474669,929679,290055,-1,-1,118349,239736,992553,331477,-1,612512,-1,349730,876997,-1,-1,-1,-1,385862,829697,-1,514833,-1,262263,465005,308613,774686,-1,512443,204419,896172,-1,-1,-1,-1,783370,-1,832266,162885,538661,-1,-1,-1,-1,-1,370493,-1,922580,342734,359695,-1,639978,-1,-1,391954,-1,-1,-1,212548,-1,917532,307264,338311,-1,884819,306136,951853,498556,518412,-1,-1,224088,-1,9494,462851,961614,557967,704583,-1,496926,-1,-1,-1,-1,112971,-1,271132,-1,-1,493792,964156,204423,-1,122014,-1,-1,-1,137665,-1,-1,338305,29374,414514,310813,940375,-1,830157,-1,-1,-1,-1,601463,885353,707148,774935,-1,491859,-1,-1,-1,847065,180560,-1,-1,-1,-1,-1,42604,-1,753575,965065,482991,-1,-1,280817,627459,437601,-1,-1,219460,-1,-1,-1,53073,975030,836642,812853,-1,18021,-1,-1,876963,471906,-1,359456,775203,125686,-1,-1,-1,-1,-1,704750,-1,756573,-1,-1,783486,969934,-1,-1,-1,107416,930143,-1,844384,231056,-1,-1,-1,382227,-1,-1,422198,698296,-1,-1,-1,415022,655733,889931,-1,836788,-1,478366,-1,-1,836142,-1,897764,12220,516250,-1,158004,341534,431353,-1,-1,320608,-1,-1,39261,-1,853511,-1,-1,92218,-1,690707,260967,617051,-1,557286,-1,-1,684135,976046,250020,-1,-1,-1,-1,511529,377839,-1,419403,544131,940896,487485,-1,991608,537039,-1,-1,142102,244874,26096,391966,436047,392567,329012,953934,-1,308488,-1,37498,-1,-1,-1,-1,583482,823984,-1,-1,193653,34704,226458,694355,-1,-1,200906,-1,363733,512422,542542,96282,-1,-1,634427,-1,-1,791188,7250,756609,-1,555802,449020,-1,-1,-1,-1,398570,153120,-1,286596,-1,-1,-1,-1,410102,-1,81205,345067,-1,283382,123601,-1,-1,-1,404353,225533,-1,-1,535953,359690,589847,-1,823621,-1,773079,-1,-1,-1,-1,755539,-1,-1,190409,872555,-1,417715,-1,322910,187421,895016,-1,-1,311957,-1,193950,205952,442036,586318,-1,210714,-1,63256,-1,-1,-1,337230,-1,90786,-1,429750,-1,-1,778696,-1,-1,-1,-1,-1,-1,-1,613379,-1,807679,12113,-1,-1,-1,-1,-1,183197,95108,973894,133616,-1,378209,259673,674928,-1,-1,45644,-1,-1,379100,-1,-1,-1,6782,-1,-1,-1,932469,978914,301054,259354,210948,379572,-1,-1,746421,393697,-1,100046,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,728100,-1,190440,173082,249426,-1,-1,741280,-1,-1,212647,738462,-1,-1,-1,828665,866583,-1,-1,552554,989650,108730,706246,927062,795042,-1,-1,400558,930429,-1,-1,763346,783399,-1,779293,291106,786434,342464,-1,-1,-1,425150,-1,-1,-1,-1,993954,211200,-1,-1,354149,143722,221001,184753,-1,129171,388390,505274,-1,-1,522211,254659,387904,59002,765242,-1,138144,520839,449067,990696,-1,-1,-1,604569,-1,514726,851424,592082,973401,235711,-1,338901,886357,-1,642476,-1,699982,-1,-1,-1,882473,924250,-1,744037,-1,779232,-1,987858,611728,-1,667719,814911,-1,-1,995178,-1,-1,-1,-1,-1,949296,253055,-1,349480,139129,-1,-1,-1,703300,-1,-1,-1,-1,380808,211108,471161,86818,515908,-1,817217,-1,-1,229582,673464,653962,-1,-1,338062,-1,-1,811473,388977,-1,103300,-1,361703,91773,310163,-1,84955,-1,497333,-1,813071,373712,-1,233486,857557,-1,-1,769707,492802,399713,-1,649240,-1,861586,238615,-1,-1,538044,535374,793491,667027,676953,-1,-1,-1,502363,653262,919706,514174,601278,370323,-1,138233,-1,831578,-1,-1,-1,-1,-1,-1,399313,272028,-1,376549,379489,-1,283355,344556,608145,480718,-1,-1,97092,-1,987970,-1,715434,699575,913028,-1,416405,326155,955212,-1,719343,-1,-1,644261,-1,625038,360578,571275,928094,-1,942432,-1,633627,778262,619540,858473,883815,-1,-1,517999,304409,443787,325420,-1,805629,-1,391544,-1,-1,-1,-1,801513,994155,-1,256706,-1,722657,-1,-1,-1,279200,154609,-1,-1,21958,-1,-1,300200,-1,349888,-1,-1,740603,878366,319858,879654,431674,657680,-1,406072,82265,162124,-1,368326,-1,200575,-1,-1,-1,984545,724042,608908,-1,-1,415440,46609,-1,827882,-1,-1,-1,992407,459522,-1,-1,102608,182491,-1,332229,-1,714820,-1,8686,265196,921717,-1,730581,355929,971974,159938,492512,-1,-1,118216,163427,335809,321001,805757,-1,143530,-1,-1,-1,-1,293695,-1,-1,193303,-1,775332,675108,51378,-1,-1,-1,-1,725168,-1,841658,410300,-1,-1,226633,460601,-1,425825,-1,-1,-1,-1,611292,-1,230208,204428,-1,826470,750568,-1,175872,820750,292671,771756,63248,-1,-1,-1,-1,-1,851074,225830,-1,58304,-1,826864,-1,766921,-1,192312,-1,536739,312908,720668,715717,-1,-1,91023,761821,441223,848344,-1,831878,962264,-1,987104,973848,226982,-1,967188,-1,-1,476923,149487,102983,-1,318081,60262,976886,649394,-1,-1,-1,-1,182607,-1,542728,-1,-1,383617,-1,41341,-1,-1,-1,566735,-1,675227,105672,451075,142134,-1,357207,810297,550892,-1,-1,-1,-1,291376,-1,-1,600573,-1,725571,165153,475052,-1,475556,764755,621004,656216,-1,-1,837997,879132,191651,-1,-1,840144,251454,-1,179544,235762,2365,27982,-1,-1,-1,-1,-1,-1,-1,212560,-1,-1,-1,333709,995961,-1,-1,-1,250640,-1,-1,286688,-1,511082,-1,279337,373448,-1,-1,-1,891008,956655,37724,-1,-1,634485,-1,151901,538229,251805,320110,139999,57521,-1,888947,640,-1,331469,487649,851325,632623,-1,346321,-1,-1,-1,-1,817165,68124,-1,-1,828010,55882,315273,-1,607462,208394,338186,-1,-1,-1,446491,292382,-1,-1,846276,264286,342179,-1,798666,-1,159625,-1,712603,868205,534677,168471,683617,-1,570195,213524,-1,-1,-1,-1,358704,575545,568002,-1,-1,447456,481422,763618,712959,-1,666639,-1,-1,-1,-1,-1,923614,-1,722808,618042,-1,748089,321744,-1,-1,657310,-1,117171,795765,-1,608879,-1,967366,-1,-1,-1,-1,223907,-1,773395,826137,-1,51262,196670,-1,-1,-1,-1,633965,517278,-1,-1,144837,-1,772973,-1,841690,-1,696158,-1,-1,907186,162195,567852,-1,-1,-1,-1,137760,-1,827936,204217,921605,990493,-1,-1,333288,840897,493455,632198,-1,455904,332221,73522,-1,-1,-1,700,525926,312518,-1,-1,659322,707462,722390,968295,-1,435748,-1,122377,693891,782392,-1,-1,-1,-1,955629,-1,974101,242400,371903,-1,-1,254129,-1,-1,-1,987054,-1,-1,631380,-1,282143,938708,549874,981384,446145,57675,99718,-1,-1,367331,-1,-1,249895,395907,-1,552814,-1,421180,757075,943131,60497,-1,-1,697649,-1,722476,-1,-1,533217,-1,-1,-1,319102,100519,-1,-1,130779,928987,574347,-1,403335,-1,245239,-1,-1,940059,79635,-1,-1,344514,-1,990538,991610,-1,267870,230365,-1,-1,741826,-1,236810,516841,-1,215321,-1,-1,109374,-1,855713,-1,918528,-1,383683,-1,-1,914875,-1,261141,223570,485408,296848,543579,-1,8690,425335,91291,723315,-1,603905,-1,148762,-1,345733,-1,-1,563869,-1,-1,208481,668193,-1,-1,-1,283567,345590,-1,-1,803149,811793,424773,563328,-1,201460,-1,-1,558651,319719,536366,-1,44825,361563,-1,717921,113226,851195,661155,364255,126613,-1,554281,-1,-1,-1,641302,997869,99138,-1,-1,566010,-1,-1,105434,623747,954956,-1,246607,496289,-1,185938,-1,-1,440909,-1,214723,116989,895115,743865,574540,-1,-1,-1,-1,999515,-1,171379,369089,-1,250217,-1,927501,-1,580059,141472,863225,227578,55436,-1,174724,330283,702995,-1,29870,281796,706918,429287,-1,225983,585635,-1,542198,-1,20125,-1,68906,648717,-1,-1,589144,-1,997583,-1,65582,587,-1,-1,-1,-1,13813,653201,510388,-1,-1,-1,858586,-1,-1,-1,689368,706158,-1,-1,-1,-1,-1,175154,-1,47087,287584,-1,-1,517346,811812,688482,-1,-1,9228,671108,717801,559588,27233,-1,316255,151585,128325,386058,81595,-1,-1,593318,-1,806495,32527,301979,400351,630667,-1,-1,-1,-1,-1,-1,963114,-1,573614,-1,-1,-1,-1,-1,541959,812992,-1,645506,-1,-1,-1,-1,-1,934794,5885,-1,-1,-1,-1,-1,-1,43722,49091,-1,-1,972966,-1,-1,830955,235325,-1,-1,88004,697824,-1,-1,-1,676669,-1,934903,229203,-1,754594,920634,585026,815318,-1,517319,871344,417702,-1,-1,178837,-1,-1,962696,-1,-1,708716,-1,-1,-1,553341,866521,-1,-1,-1,410400,813048,-1,624083,-1,243146,-1,-1,342808,-1,313613,173339,47492,-1,-1,-1,596509,-1,-1,-1,747154,-1,788395,631774,860954,818502,636325,-1,618165,-1,744060,593408,-1,66910,310223,-1,984078,-1,-1,-1,440693,937601,157695,446235,517438,751915,870112,-1,-1,-1,-1,810636,870639,698862,-1,200076,65444,-1,415369,-1,310337,169982,-1,550440,634913,-1,402461,-1,-1,147806,-1,134798,-1,-1,896892,-1,-1,-1,128365,-1,922880,469010,-1,-1,533680,642396,815204,573413,-1,-1,577495,233623,-1,152947,517756,-1,882520,-1,-1,-1,-1,-1,-1,934128,-1,466869,-1,729545,-1,569124,-1,-1,701812,-1,-1,-1,75328,-1,172353,915201,759428,-1,-1,-1,877007,138463,-1,691321,853806,889763,-1,-1,65218,697102,44210,672199,53075,-1,-1,-1,655146,167878,-1,926758,14478,-1,212187,260415,-1,813677,930799,-1,618394,-1,-1,-1,906308,-1,-1,-1,221550,-1,-1,-1,536612,-1,98237,-1,-1,-1,-1,-1,-1,567917,718788,-1,-1,-1,-1,-1,-1,-1,-1,362512,85979,-1,-1,-1,-1,-1,-1,629181,-1,876630,402023,636570,795323,-1,278045,-1,400996,899204,-1,-1,858666,721058,-1,-1,-1,-1,-1,-1,-1,418532,-1,-1,397512,-1,-1,-1,-1,546967,-1,-1,925085,514369,-1,-1,-1,-1,-1,-1,263918,252572,-1,-1,771748,-1,-1,-1,187966,-1,718061,-1,612662,-1,558403,-1,367861,627907,-1,-1,324790,286846,-1,-1,-1,-1,-1,840120,-1,939996,748788,-1,-1,960140,489322,470307,233377,-1,-1,-1,440716,-1,-1,-1,-1,73468,57443,567072,-1,882806,549558,-1,-1,101243,-1,957831,-1,908205,731527,344993,310614,-1,316949,-1,-1,-1,427806,981905,-1,-1,415664,732969,588501,-1,605135,327183,257738,229668,-1,-1,201260,41592,-1,306135,-1,403078,397625,239650,-1,-1,173452,724228,-1,712888,-1,-1,-1,843580,249987,124419,780476,-1,-1,758510,170182,454874,381519,-1,805672,-1,-1,351309,521096,448334,-1,-1,-1,696076,-1,988688,-1,-1,444139,119309,-1,-1,873641,481807,64171,241882,473042,966778,-1,272365,-1,157169,-1,452949,688328,650776,154749,-1,21629,-1,-1,-1,728648,626278,309189,-1,-1,405826,238576,-1,-1,-1,841071,620763,225598,310399,-1,101436,-1,130651,-1,33582,169209,-1,-1,-1,928842,-1,-1,-1,-1,-1,-1,885949,-1,-1,-1,-1,725503,-1,775752,139397,127553,-1,782766,-1,411215,-1,-1,-1,-1,-1,-1,839248,-1,-1,211061,440626,-1,-1,-1,930366,-1,848042,-1,536141,606183,-1,377242,-1,-1,487158,422808,197494,-1,-1,-1,169470,911116,-1,128937,631325,-1,902358,-1,795720,978366,-1,-1,-1,391324,929899,401465,-1,698503,213204,255279,42290,-1,-1,-1,199836,427941,-1,-1,988436,-1,404111,725878,-1,270379,-1,327789,587705,526410,-1,-1,661748,513709,-1,124135,934627,205692,-1,313621,346857,-1,436779,-1,66591,227186,695221,959837,648562,660615,-1,19149,-1,-1,770164,485035,309955,894254,218693,301764,-1,166152,515610,813612,101081,301136,196705,-1,-1,-1,40497,677269,513849,-1,-1,265481,578380,-1,98360,-1,-1,857928,-1,-1,570097,-1,262714,966832,513608,-1,968061,-1,-1,19704,817229,109209,-1,-1,432903,337155,972787,484504,-1,48233,669609,578183,-1,-1,446921,-1,999986,215604,251389,-1,-1,153104,-1,-1,379904,-1,-1,-1,-1,210472,-1,-1,492815,279833,-1,-1,767895,944081,194994,860673,-1,-1,-1,171519,852923,653453,739275,328208,-1,791640,-1,446822,735753,851854,922845,-1,304869,800931,508594,-1,391234,124505,520091,696021,596179,-1,-1,-1,-1,-1,779295,-1,601827,436081,182123,398185,285716,-1,-1,747195,210525,393737,850766,461283,-1,-1,-1,190671,570885,-1,-1,-1,979956,-1,932188,-1,466541,928162,-1,-1,437209,184288,-1,493885,957578,702990,-1,-1,337964,795572,-1,-1,-1,825901,-1,-1,-1,755711,719722,-1,-1,-1,110316,-1,219791,27657,691815,745364,-1,-1,92260,372728,107995,186398,-1,917361,878868,-1,332334,-1,843547,936099,-1,827316,273261,557858,-1,37487,-1,-1,-1,827731,-1,-1,-1,-1,-1,387245,-1,-1,-1,313240,-1,392212,-1,820311,-1,-1,914745,-1,68773,667448,302126,308768,106356,-1,414008,-1,540504,-1,984125,99013,795693,107563,-1,-1,489560,-1,721333,-1,-1,-1,-1,6887,218195,819282,-1,-1,251453,63238,-1,741666,731480,566066,940705,-1,806086,-1,-1,38708,438991,-1,-1,-1,-1,163155,-1,25929,-1,492286,-1,584235,-1,518349,-1,-1,-1,752717,-1,621416,-1,113894,-1,-1,660182,636942,-1,-1,726154,-1,925612,166642,561588,-1,347377,-1,259095,843410,461735,55568,524177,-1,-1,-1,-1,737770,311307,-1,899910,763207,915729,413610,-1,-1,11049,922425,-1,-1,-1,-1,-1,-1,966869,109535,819833,-1,704868,-1,-1,321762,87535,-1,-1,88060,525399,290245,821513,-1,-1,568682,183679,-1,-1,-1,-1,-1,-1,852066,-1,-1,830720,-1,-1,519282,-1,-1,994112,-1,34344,672135,-1,239327,-1,754175,206894,107374,238686,373901,-1,-1,-1,818375,-1,-1,-1,586319,-1,-1,-1,257889,200652,-1,177801,738868,-1,-1,666912,-1,-1,-1,136340,541944,584219,-1,325854,-1,-1,-1,-1,-1,431697,-1,42180,583695,-1,-1,-1,446450,102004,-1,-1,-1,671332,218334,-1,518566,-1,-1,24620,-1,-1,-1,965830,344459,-1,-1,932222,-1,-1,-1,-1,-1,-1,509373,902773,-1,514964,606453,566951,-1,-1,-1,526543,875623,-1,591092,-1,155107,779742,-1,836694,181921,-1,-1,-1,-1,542668,775292,-1,994759,218296,106803,550305,10786,150921,271111,-1,-1,-1,-1,-1,159357,-1,-1,-1,-1,-1,-1,121596,-1,368506,-1,-1,734003,-1,-1,-1,535027,-1,896239,-1,681725,-1,-1,-1,-1,-1,402440,-1,-1,335621,310700,879817,327980,-1,-1,-1,-1,208675,620257,292534,-1,-1,953126,256222,859826,-1,83072,442648,281855,112,85499,-1,285387,4156,186599,315274,755082,-1,814757,-1,839965,-1,761837,162566,-1,684900,-1,-1,-1,435200,-1,-1,815104,190257,-1,-1,451354,-1,-1,29812,303489,445029,847819,605125,-1,-1,988692,-1,-1,765421,-1,120036,-1,-1,-1,-1,-1,599684,-1,-1,-1,776940,-1,-1,-1,-1,-1,-1,236028,-1,-1,975472,-1,247740,-1,593278,216577,103473,234802,125616,-1,-1,596261,527647,-1,-1,-1,92948,972081,739363,224745,-1,198058,784800,811944,536070,-1,528408,-1,-1,559737,36995,549490,735530,84521,-1,976477,893692,-1,-1,914997,-1,869092,-1,-1,475000,112343,-1,730937,-1,-1,-1,-1,-1,775668,448289,-1,-1,749761,727445,717446,-1,566190,404008,-1,643452,-1,-1,-1,-1,-1,756252,-1,-1,998499,916529,802180,-1,-1,280215,876375,563788,-1,-1,216083,-1,-1,-1,-1,-1,-1,772085,912927,-1,124913,116943,-1,100354,-1,-1,815375,94224,-1,924947,381318,-1,-1,-1,-1,-1,583378,-1,-1,-1,-1,-1,-1,531374,926997,-1,-1,-1,138661,768451,-1,-1,-1,-1,-1,-1,-1,-1,567651,674907,620663,806755,-1,-1,813505,601873,351978,-1,-1,552862,-1,-1,-1,372200,799138,-1,-1,993013,-1,359100,-1,801930,-1,-1,471623,-1,-1,-1,815241,-1,440286,45694,277606,436945,704326,-1,611837,97159,-1,-1,792012,-1,504426,566577,-1,880916,812323,520102,639388,460290,-1,-1,-1,969492,596635,-1,596809,992544,-1,843024,-1,-1,42179,171226,-1,129280,193292,807304,-1,-1,917090,919601,478161,809937,-1,322661,-1,238573,-1,-1,504856,-1,-1,-1,229970,-1,245144,692735,992375,-1,-1,-1,485545,-1,692335,-1,16272,610894,3305,-1,-1,929405,-1,808349,662361,-1,-1,-1,-1,921153,-1,-1,-1,-1,743627,820011,-1,390098,565886,-1,-1,-1,-1,879292,-1,-1,-1,-1,444307,423834,-1,-1,-1,978478,-1,813488,310571,-1,-1,352459,363454,163519,907211,668284,-1,-1,-1,823721,-1,534280,-1,404648,-1,-1,-1,-1,-1,-1,-1,-1,744226,188768,977480,842355,-1,-1,-1,763515,476857,922278,-1,939098,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,978934,832232,-1,901394,-1,-1,-1,-1,-1,322155,-1,749687,-1,377046,402866,147081,863483,-1,-1,741736,-1,-1,444336,78287,-1,969676,621682,480613,494432,812864,-1,-1,660950,-1,166124,-1,-1,-1,698360,487731,-1,62229,559835,-1,793908,973283,-1,273750,223242,-1,240123,-1,385881,-1,-1,-1,861631,140981,-1,137930,798339,-1,-1,731823,-1,-1,-1,-1,100800,566752,346856,304891,-1,937190,-1,227891,603037,-1,673185,216355,348150,184047,-1,-1,-1,980766,-1,578861,270750,10416,475085,992889,-1,800253,582856,-1,-1,-1,231663,-1,246574,694011,-1,488874,-1,-1,-1,-1,-1,-1,-1,-1,-1,893138,322417,-1,791447,-1,-1,521770,199519,482374,-1,199481,877325,345657,530779,772757,724988,-1,-1,181099,194,822157,943780,165672,387030,-1,-1,349856,-1,-1,731049,-1,682143,876699,502955,-1,745097,-1,-1,-1,-1,835825,-1,-1,-1,655759,899392,-1,-1,736721,-1,43540,-1,-1,670963,374750,-1,807446,869329,-1,313635,-1,-1,750183,-1,610657,803150,91053,19410,-1,51170,-1,-1,478259,-1,911562,158297,-1,-1,428779,417141,635989,-1,730431,28260,212895,-1,-1,-1,-1,463284,-1,-1,89584,-1,-1,888528,-1,307323,-1,829509,-1,753432,-1,-1,784344,-1,140995,626231,-1,609214,416181,896350,-1,-1,-1,-1,-1,-1,896276,-1,750112,-1,467579,427405,60143,698876,-1,-1,655856,-1,-1,-1,-1,214135,-1,334095,86310,-1,191929,-1,-1,89611,-1,739631,254261,7835,430088,874897,383213,-1,959458,962228,-1,510277,-1,661543,895049,467581,-1,-1,-1,447465,-1,545409,-1,290922,176047,480120,259694,-1,-1,971448,157185,-1,-1,-1,-1,940996,376530,117688,884646,760151,-1,-1,-1,-1,-1,-1,715103,-1,-1,-1,-1,835681,34447,397430,-1,867460,56704,-1,-1,951510,176565,411665,185527,-1,-1,-1,-1,-1,6335,703257,486992,887239,188629,-1,-1,-1,-1,-1,-1,-1,-1,756428,354776,542687,-1,-1,782093,-1,-1,-1,819518,-1,525650,829485,718378,-1,-1,-1,-1,222972,-1,-1,-1,-1,496707,48737,-1,30857,-1,979056,837343,183213,-1,50695,20725,-1,425127,-1,632266,-1,627715,-1,170579,876410,-1,-1,-1,467102,307869,-1,808123,880872,687126,829615,229939,665891,158500,246923,17860,-1,-1,868172,-1,665288,718644,-1,841354,455685,175596,674719,758847,-1,216414,395249,522623,-1,-1,572916,365104,24030,668878,-1,511925,-1,333906,689016,-1,616907,-1,-1,-1,346268,-1,-1,768810,-1,739326,-1,-1,271957,-1,858869,336090,-1,-1,823561,-1,-1,244887,107422,-1,445249,778885,-1,651557,793107,-1,189894,969040,299422,374982,-1,614949,13030,685447,110507,-1,-1,256804,-1,32825,207614,-1,309867,-1,-1,258812,686632,263144,968726,708448,95447,-1,422776,-1,-1,-1,992107,737782,-1,-1,107876,-1,816235,825059,-1,-1,-1,-1,-1,-1,-1,-1,29798,-1,279624,511567,-1,885573,-1,43356,486076,301304,-1,-1,374646,-1,-1,227921,-1,39584,-1,959378,-1,891961,-1,378418,-1,779377,301155,-1,209794,-1,955664,-1,-1,-1,-1,466122,63918,-1,-1,414574,-1,-1,-1,-1,632348,745220,113659,-1,-1,-1,-1,-1,378302,561400,946132,-1,-1,-1,722434,88632,-1,20425,257149,-1,-1,188049,-1,385434,-1,753808,655501,831173,612987,-1,-1,714729,-1,776090,-1,199704,543933,-1,-1,363901,42855,-1,-1,-1,-1,224486,314288,-1,674968,-1,374349,704666,448874,225132,495295,-1,30901,360680,806337,481870,-1,760390,-1,993574,412159,520571,733859,731697,-1,-1,-1,467290,234635,-1,331256,-1,-1,856931,388052,109226,-1,-1,136577,-1,75395,960468,-1,-1,109691,-1,41403,672388,-1,3821,-1,465728,-1,233685,-1,142154,-1,-1,-1,-1,25799,692328,992672,148209,-1,-1,651818,180880,730569,121735,-1,-1,-1,-1,-1,-1,-1,-1,-1,290367,-1,-1,922101,795497,-1,559834,-1,-1,39551,-1,-1,-1,-1,714187,-1,-1,-1,-1,254850,598125,-1,151611,806924,-1,-1,-1,-1,-1,-1,809787,-1,-1,-1,968893,806613,794550,-1,-1,458318,306886,257026,599832,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,909669,-1,803688,825357,176357,-1,-1,745218,697513,-1,-1,597535,810219,373932,-1,-1,-1,785014,-1,-1,602706,-1,544747,-1,-1,752823,147839,707981,792126,939353,-1,187538,209412,154127,-1,-1,-1,-1,916746,805692,666711,-1,317310,658985,934541,-1,275126,458612,-1,-1,-1,181936,-1,-1,858017,-1,440906,544547,387643,-1,38205,183606,136728,-1,581763,-1,-1,-1,503163,-1,-1,-1,-1,-1,505786,830702,581915,-1,796400,-1,663409,-1,-1,565170,-1,197260,270289,980349,-1,162526,-1,563586,-1,654400,478519,976941,14047,-1,-1,-1,689840,-1,-1,-1,129308,-1,802804,-1,-1,63760,-1,846469,75900,-1,426815,69257,4855,-1,-1,-1,-1,935737,-1,-1,712190,-1,-1,557720,120805,-1,261552,645325,-1,550725,-1,-1,600570,-1,917291,-1,-1,215439,958650,-1,-1,-1,-1,-1,-1,889125,-1,-1,510338,-1,734108,46917,-1,472956,277584,-1,-1,828033,680990,-1,-1,-1,167227,681843,-1,-1,481059,364455,-1,-1,-1,276769,-1,-1,-1,-1,-1,845261,178087,359224,-1,548362,714349,-1,-1,458970,-1,-1,-1,-1,-1,-1,-1,994591,-1,-1,14272,442276,874340,-1,167917,396737,-1,-1,645331,464990,842356,917298,-1,-1,-1,-1,-1,-1,-1,384665,169705,-1,480607,-1,817650,676764,294196,381926,-1,-1,-1,-1,-1,682601,324305,-1,-1,-1,-1,-1,-1,440177,-1,-1,718775,116582,-1,-1,-1,97419,531907,-1,-1,824141,-1,-1,-1,330560,511754,-1,-1,-1,-1,-1,499557,-1,-1,522318,-1,461139,64180,379885,985167,619266,844530,498526,43407,-1,706631,438311,4742,-1,672401,-1,622787,291074,-1,-1,203326,-1,-1,-1,280853,248108,401507,609500,-1,-1,560562,-1,656700,-1,674611,-1,-1,-1,771033,417870,-1,-1,-1,113414,579655,267171,-1,-1,72172,9852,-1,-1,386816,379632,338938,-1,-1,-1,-1,-1,-1,752182,707489,284535,873471,-1,-1,522291,-1,-1,-1,-1,-1,335868,-1,943052,-1,-1,-1,865740,-1,-1,-1,969191,-1,-1,-1,-1,-1,-1,-1,650426,899575,-1,833398,476668,470226,-1,201921,104926,840590,249670,118169,597939,-1,-1,342206,-1,-1,317141,663784,-1,-1,-1,-1,529669,640509,665331,-1,485634,839490,-1,680785,144270,791130,626830,-1,248794,506874,320109,812373,609234,124344,-1,-1,835728,-1,-1,-1,867566,908768,362928,-1,282467,-1,363864,209508,640741,-1,-1,37833,561925,-1,901051,305305,957723,-1,-1,-1,248620,686866,174422,-1,-1,931884,-1,-1,713109,221516,80460,-1,-1,176813,-1,766498,-1,-1,-1,271785,-1,-1,940135,74733,-1,970435,809817,590940,-1,-1,-1,241675,-1,869811,-1,-1,117630,857972,568759,74453,236439,-1,440035,8676,-1,-1,-1,752918,-1,-1,-1,962485,956189,35980,815556,-1,-1,-1,972726,-1,-1,-1,-1,916654,-1,-1,-1,-1,298130,640052,369264,898926,313637,-1,-1,-1,569266,651137,-1,-1,-1,657867,283058,593055,28583,-1,876914,-1,-1,-1,-1,951820,155435,243737,-1,96187,-1,-1,-1,180915,735400,-1,-1,-1,345439,-1,685006,586138,515828,-1,-1,868451,979920,147893,-1,-1,685907,715715,721151,-1,-1,395342,721953,177747,-1,-1,969198,-1,-1,-1,-1,-1,-1,-1,-1,248094,-1,-1,-1,381525,517958,-1,-1,187188,343276,812888,-1,908477,159799,455018,-1,238434,293176,-1,-1,-1,-1,598553,384554,-1,-1,-1,964432,-1,490427,-1,295866,784982,671412,897294,-1,15499,-1,582528,-1,-1,-1,960909,174215,-1,-1,400939,842999,-1,-1,-1,-1,-1,493192,679210,609328,454959,496677,200202,970423,304807,799879,867144,-1,-1,787291,-1,96266,408571,284842,-1,312042,61779,525065,-1,-1,385777,-1,469183,-1,558672,-1,-1,-1,-1,847007,334710,103647,681564,385727,552477,-1,453147,-1,98987,-1,-1,668605,-1,-1,-1,117110,-1,306436,49440,572793,71022,790486,425713,591793,502606,-1,414849,139614,547914,683057,297876,-1,945539,939264,-1,-1,43251,-1,-1,-1,-1,-1,813126,-1,-1,429207,-1,-1,-1,-1,782680,715748,118796,-1,601332,-1,-1,-1,280033,-1,-1,797524,870760,844090,337105,-1,694459,282898,-1,741467,-1,385547,580072,-1,812538,-1,-1,134449,978766,-1,723041,392958,-1,219606,-1,385758,748747,385763,-1,421070,991980,465815,31136,503351,-1,-1,-1,-1,-1,680647,282668,-1,-1,-1,704557,771023,-1,-1,218020,390937,-1,-1,-1,382991,-1,245438,-1,794876,-1,229301,86672,711673,289261,495725,-1,420641,472892,-1,-1,-1,133999,-1,483837,-1,759886,711087,-1,-1,-1,454384,-1,-1,-1,-1,-1,-1,-1,881330,-1,904857,-1,-1,-1,-1,-1,389293,-1,903502,-1,-1,-1,-1,-1,-1,166863,906089,-1,970551,396535,-1,766886,-1,-1,272659,93414,-1,-1,-1,498768,995590,770241,642862,-1,-1,264448,-1,402711,-1,662118,-1,-1,-1,397922,999019,-1,454305,611769,407461,-1,585737,-1,-1,-1,922367,-1,-1,-1,49056,-1,-1,-1,-1,-1,-1,930141,-1,-1,-1,340380,-1,-1,-1,996171,-1,-1,-1,-1,-1,10914,-1,698933,-1,-1,406341,440270,687239,-1,307267,827927,-1,-1,-1,595013,933273,29785,883624,680489,961688,-1,840441,-1,882014,-1,-1,-1,423176,-1,-1,974183,196675,164683,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,792759,849606,-1,-1,-1,865198,-1,-1,-1,-1,-1,-1,-1,-1,830804,-1,-1,-1,223899,-1,-1,482617,309103,768580,-1,302550,-1,885803,343763,482798,-1,130646,-1,-1,144559,-1,610378,-1,868220,853486,299811,-1,-1,-1,-1,-1,-1,710998,-1,924591,-1,-1,684153,950905,854988,638956,925918,-1,831570,926616,144135,771880,-1,996827,854475,-1,916977,974014,-1,-1,-1,646936,335298,853347,658428,964549,-1,-1,-1,128493,-1,929626,268319,56638,-1,-1,41140,-1,-1,768379,451134,-1,808678,-1,-1,296284,-1,889414,-1,533883,427528,148858,-1,238120,115023,46944,-1,180803,788282,-1,-1,-1,307825,775453,281598,-1,455381,-1,-1,392856,479958,-1,-1,471169,177669,-1,627613,-1,818356,-1,-1,-1,947042,-1,-1,249940,-1,-1,-1,553431,595509,-1,-1,105121,149004,739120,-1,-1,291607,-1,-1,957862,8337,-1,385736,935781,-1,316639,-1,-1,-1,908562,798198,-1,254067,279256,738937,745328,-1,-1,-1,834684,-1,558247,-1,-1,681211,-1,725885,892552,604995,534138,969831,-1,-1,718571,-1,-1,-1,401918,265882,-1,412817,-1,-1,323804,223098,-1,-1,290603,-1,626634,-1,-1,149191,596327,-1,-1,-1,-1,32997,-1,665200,-1,-1,-1,-1,566293,-1,-1,-1,700142,-1,-1,720331,-1,105067,-1,-1,-1,-1,-1,-1,-1,-1,482812,892427,61714,446938,-1,578599,-1,542109,-1,826823,388794,-1,-1,-1,314607,-1,536171,738200,724721,551971,-1,864219,260867,-1,312181,521664,-1,148566,418408,842710,-1,-1,579907,667134,227689,112414,471456,411343,172763,-1,-1,-1,149975,-1,321558,-1,644695,-1,-1,67678,-1,20075,20970,-1,-1,373372,839864,-1,581405,-1,629984,78731,116882,-1,904750,-1,-1,782234,-1,-1,389854,-1,-1,426448,-1,-1,346052,263765,239510,296922,-1,-1,-1,834923,-1,472697,306275,991470,-1,178602,418496,-1,-1,-1,-1,-1,-1,94336,318340,274794,179765,-1,40185,604401,923215,450409,636195,-1,653126,-1,543986,898301,-1,261726,925801,947581,67900,978235,57879,689527,261187,272478,954034,-1,-1,367352,149746,590797,-1,-1,-1,-1,98998,854643,200639,-1,409290,-1,391840,-1,477350,-1,-1,-1,-1,744463,349611,-1,-1,-1,554951,-1,197679,528834,541490,-1,-1,-1,638573,42255,628750,-1,66162,292353,799464,-1,-1,145451,-1,-1,-1,-1,-1,-1,407031,-1,648215,-1,-1,-1,676071,330513,887538,-1,-1,401129,-1,215614,438312,523779,-1,708700,-1,-1,-1,584050,-1,-1,280568,407463,922596,60910,-1,-1,-1,-1,204108,306945,-1,915675,848831,300883,-1,337701,-1,346110,377131,217191,20354,-1,-1,-1,-1,527959,-1,-1,971626,-1,-1,-1,482048,-1,764027,931584,988702,-1,-1,853572,230069,-1,397197,-1,259447,-1,-1,-1,109718,-1,485326,198570,-1,-1,-1,-1,-1,580571,-1,795464,753196,529176,355215,821017,609615,-1,602352,152736,-1,-1,-1,-1,362136,439632,-1,87225,472340,-1,-1,603357,-1,-1,122851,905924,100571,-1,787571,89481,-1,-1,391032,-1,-1,-1,902046,-1,-1,662490,489382,-1,33219,-1,-1,-1,-1,-1,-1,754008,254009,-1,849533,-1,286127,-1,769529,198867,-1,-1,-1,-1,428098,793760,-1,-1,17491,1245,-1,-1,395702,932214,-1,-1,-1,940400,-1,-1,949428,534312,844833,678846,78801,-1,111434,185239,234552,-1,567068,-1,-1,328395,-1,-1,-1,-1,-1,-1,714144,624668,-1,496580,-1,970235,288559,544247,-1,-1,820613,-1,335376,552916,225653,880831,-1,-1,-1,-1,845851,344692,-1,21146,-1,-1,-1,377137,727593,-1,-1,806087,-1,224292,84102,706034,739516,394756,649821,320575,769409,525275,-1,667554,-1,-1,387425,383290,384695,689521,-1,451982,-1,-1,-1,-1,-1,-1,285626,4245,893648,856072,-1,532330,-1,113296,-1,399378,-1,128321,-1,444089,-1,784310,-1,269527,-1,-1,920002,172598,851828,110766,-1,-1,241012,-1,759949,755658,-1,-1,922155,335239,933757,587771,889765,-1,581791,286158,465484,864680,428319,-1,-1,760967,677703,740712,-1,935558,260390,-1,-1,875303,-1,-1,-1,-1,-1,697208,270726,422752,-1,-1,586773,574173,-1,-1,-1,-1,-1,-1,-1,220764,-1,60724,-1,178264,-1,-1,185482,934044,-1,653965,830040,778256,-1,150427,601163,235891,-1,772191,446147,270735,236555,-1,-1,-1,-1,62819,12361,792297,87163,-1,6426,-1,-1,-1,-1,-1,777579,815600,157479,991016,-1,977927,-1,443022,223808,224751,38830,699023,780425,-1,357270,-1,400155,343952,145159,-1,-1,-1,335600,763743,54460,670827,655312,218106,475221,106230,-1,626498,549852,-1,825725,385979,108766,961870,-1,-1,-1,235301,206729,-1,765492,-1,920584,-1,-1,399695,863231,284221,510703,-1,-1,927831,-1,487981,-1,150025,63554,-1,399241,-1,917689,106007,958315,-1,-1,-1,-1,-1,-1,-1,-1,680810,-1,44397,852244,-1,226606,711232,943262,568680,-1,601879,199758,746368,-1,784676,-1,-1,-1,299905,59181,49546,-1,31494,-1,698986,28343,-1,146776,478689,-1,641905,-1,-1,827673,-1,-1,-1,-1,262426,-1,728567,882461,-1,66385,232602,143619,797480,-1,141923,970292,203447,96413,922228,-1,-1,-1,82510,-1,-1,575851,-1,-1,-1,-1,525386,211446,-1,-1,-1,-1,-1,440158,-1,626193,355339,-1,-1,322421,891116,-1,-1,875898,-1,-1,453950,-1,990732,75916,-1,-1,559892,978038,351614,-1,285942,872108,-1,30900,-1,727941,598062,-1,61351,-1,220878,-1,-1,-1,121315,756846,-1,-1,779661,-1,-1,-1,458166,-1,92185,-1,211885,-1,-1,40452,213575,-1,-1,-1,473806,-1,128655,-1,371159,91503,-1,-1,438155,121054,729719,-1,-1,88108,351254,820521,-1,833745,822016,522836,668698,-1,-1,841560,-1,-1,-1,740436,-1,-1,734631,810311,-1,-1,14638,120785,-1,-1,953086,686378,150131,911596,841175,-1,-1,350429,920367,656594,50678,89583,542040,982281,95544,55139,-1,-1,324777,771458,636762,487293,-1,-1,677903,229756,-1,-1,-1,515061,427763,-1,793184,-1,160274,460397,681727,-1,-1,-1,379999,296804,781494,-1,-1,354657,779169,-1,255713,778773,592467,-1,-1,495832,-1,16462,-1,932567,384091,-1,60948,276378,719471,-1,181809,-1,407691,833667,857074,-1,145882,182131,167085,832231,114844,860670,-1,201599,-1,25037,-1,-1,-1,-1,-1,729766,311017,-1,-1,-1,-1,-1,-1,761418,-1,-1,-1,601042,41397,-1,-1,-1,-1,-1,16449,834227,136934,-1,-1,-1,330909,-1,-1,-1,947564,941410,-1,-1,549555,-1,773740,317803,-1,-1,778691,-1,-1,643716,813830,893604,16408,-1,85893,-1,-1,-1,347669,-1,282672,194811,646258,915068,-1,-1,906124,-1,-1,335594,-1,-1,841199,531497,855647,-1,318487,-1,-1,-1,346758,373202,-1,431698,-1,-1,547267,795705,-1,362354,-1,35163,-1,-1,-1,157738,-1,31671,-1,491351,-1,-1,-1,55819,-1,205079,-1,382657,500502,757757,474560,873285,216082,-1,693615,-1,-1,48270,-1,-1,-1,883003,-1,-1,265392,-1,476528,410253,-1,755669,45488,506788,995811,-1,219444,-1,-1,-1,-1,-1,-1,-1,194188,-1,-1,-1,-1,-1,-1,-1,20849,542878,218646,789989,-1,794997,-1,-1,159619,85349,-1,923292,450576,-1,-1,561633,-1,58548,694906,531600,197167,605431,902081,621848,-1,337163,642980,259268,-1,659980,942184,601851,177275,304744,-1,-1,-1,287404,818118,-1,-1,871561,630919,884783,-1,887862,-1,-1,740686,-1,-1,-1,131395,-1,-1,294290,-1,125512,-1,-1,566000,-1,-1,-1,-1,432681,506629,11346,-1,675947,325162,-1,-1,-1,-1,715886,-1,285461,421187,-1,-1,367398,457371,-1,-1,-1,-1,391379,585427,95273,-1,-1,-1,112432,50475,-1,-1,437831,-1,-1,-1,-1,-1,813337,162947,-1,-1,671672,786838,337777,-1,-1,-1,-1,14906,715453,-1,328643,18084,543773,-1,-1,791632,860003,-1,-1,152462,-1,-1,133184,-1,941053,69564,995532,355062,741880,-1,134505,-1,-1,317722,815653,102068,962943,-1,-1,-1,121316,69668,-1,239597,-1,-1,220546,-1,122240,-1,-1,-1,602220,-1,-1,280063,640253,844146,-1,937148,85758,348925,-1,69018,480970,-1,211828,-1,834891,14128,-1,686227,133737,686608,-1,883016,342027,772251,-1,-1,-1,755017,715813,-1,975925,-1,433391,697257,-1,664161,-1,123327,294351,336665,567369,-1,-1,-1,-1,-1,443772,777063,-1,261430,77132,-1,-1,1607,858638,-1,-1,-1,-1,472461,-1,-1,-1,471417,-1,-1,-1,722646,-1,-1,795534,855848,-1,-1,743740,184785,390061,-1,58094,982151,-1,787056,-1,879251,-1,641611,-1,-1,374389,480425,679149,592301,435667,-1,-1,-1,289246,903691,-1,-1,-1,-1,-1,878230,144505,-1,-1,187015,-1,-1,-1,684687,325254,-1,393781,72434,391552,31951,-1,814514,-1,595397,462710,-1,568452,-1,545010,425236,-1,362285,-1,121327,-1,976613,450192,-1,-1,387943,480544,791161,-1,-1,469371,-1,-1,970465,47838,843912,-1,719390,-1,88500,-1,-1,-1,-1,744790,-1,-1,658228,635208,-1,-1,-1,-1,-1,510377,375280,693119,-1,363218,-1,335800,976343,-1,-1,785998,-1,839826,532115,77394,-1,998853,57250,-1,-1,523673,570752,314070,-1,-1,415111,-1,-1,-1,522093,-1,-1,345084,273900,169555,-1,532261,-1,845985,-1,406647,674916,428254,-1,-1,-1,45916,-1,-1,632557,507084,9321,520568,757035,496909,874575,-1,-1,710970,847627,-1,120049,350156,-1,-1,877475,-1,28895,-1,-1,-1,-1,-1,548020,-1,949667,-1,-1,506249,731339,-1,-1,-1,9829,749370,442684,-1,-1,718274,-1,-1,-1,575761,258048,217296,17538,562137,171443,644629,468142,-1,981098,962310,-1,-1,-1,-1,115396,651036,571323,-1,-1,-1,-1,-1,712516,176317,-1,890671,626004,449328,878135,22476,505813,706513,518602,-1,739933,-1,552065,-1,-1,-1,-1,-1,-1,-1,-1,810128,552136,133081,988887,760439,662995,603856,-1,398365,-1,-1,144083,482931,-1,-1,-1,-1,-1,-1,-1,-1,819357,922737,-1,-1,-1,908225,-1,-1,899846,-1,657078,263530,697549,578513,361902,-1,-1,550020,865776,353213,82810,-1,-1,-1,698704,-1,497013,-1,949733,797871,888634,403867,-1,576016,763603,-1,201017,-1,-1,76071,801727,-1,703456,-1,830455,476809,-1,-1,772946,-1,810711,64278,-1,-1,381175,-1,211747,-1,466617,990229,-1,167089,977630,231869,889638,-1,-1,497064,944796,-1,47564,707294,-1,381872,-1,738915,208106,960548,410881,-1,794002,83662,997066,-1,-1,875657,806172,-1,-1,327049,-1,277160,179426,789578,70146,-1,-1,170463,107364,-1,-1,-1,285993,402112,534403,940355,548496,-1,-1,958620,-1,644313,-1,688225,30512,-1,941540,-1,-1,-1,770349,310448,-1,206788,389273,-1,-1,753035,868106,-1,-1,230370,800209,-1,-1,-1,-1,390990,-1,-1,319652,897895,-1,-1,599410,-1,298345,26681,159823,-1,-1,420582,-1,-1,-1,-1,16685,-1,-1,255737,-1,336200,-1,-1,-1,-1,-1,325622,997775,-1,763909,571643,-1,-1,67548,-1,10085,407224,-1,-1,518868,-1,86456,326866,-1,-1,-1,-1,-1,-1,-1,-1,270335,-1,183056,-1,-1,-1,444880,-1,-1,-1,22606,-1,-1,-1,796078,-1,-1,482180,-1,-1,-1,-1,-1,-1,-1,-1,456422,960116,-1,388846,-1,-1,-1,-1,-1,659439,1986,-1,397725,116800,806457,-1,-1,647972,-1,142318,534564,875153,346607,-1,-1,171860,-1,747598,394233,-1,-1,385232,-1,-1,-1,659777,-1,-1,907009,882165,950146,195709,350122,823629,-1,68087,336563,304969,-1,-1,386710,-1,-1,-1,18468,549672,-1,-1,-1,387069,536601,-1,-1,494252,-1,861118,303281,-1,721049,226196,-1,576026,464220,578954,-1,221513,745754,298221,12791,959518,-1,-1,-1,-1,-1,-1,-1,776096,-1,-1,557675,-1,-1,-1,240692,-1,458999,558640,-1,683019,888750,-1,-1,998440,-1,222822,257537,181014,415635,932648,-1,540972,127486,541489,-1,950164,482569,-1,-1,-1,517016,-1,95827,696364,502520,-1,973249,682771,695812,91400,-1,913676,47465,961493,-1,804611,594049,935771,-1,-1,206215,141128,-1,281759,110661,-1,-1,138892,642874,-1,-1,933989,-1,479761,-1,480927,-1,372927,-1,-1,-1,-1,929005,-1,-1,-1,538823,441540,283247,-1,14439,776288,149077,819995,-1,258883,746813,627832,355473,593081,815526,630345,-1,944111,830828,327796,-1,888297,793145,525598,-1,996334,617289,239970,198073,-1,69238,491785,160159,887132,477366,456680,619252,-1,-1,193570,-1,-1,-1,352517,-1,23099,-1,-1,623626,-1,-1,-1,902288,-1,-1,610278,494702,384999,-1,-1,-1,700490,58499,909783,780199,692220,128409,85180,-1,-1,47670,897570,405168,626384,-1,698551,327723,-1,-1,-1,539949,-1,-1,695664,-1,-1,918137,-1,-1,-1,843001,-1,-1,-1,759155,283574,-1,287214,581785,-1,-1,616089,-1,-1,-1,-1,-1,862690,298643,-1,-1,882299,241262,413002,-1,-1,-1,706886,110006,-1,328047,871418,-1,728366,-1,-1,693375,-1,105996,-1,-1,-1,267472,345689,626552,-1,729298,-1,-1,325868,9158,-1,-1,583858,518887,658712,619569,-1,-1,983775,566870,993939,98104,-1,-1,-1,285857,879101,-1,68555,451298,-1,-1,-1,146706,593711,-1,-1,-1,566121,-1,-1,406491,-1,-1,105139,-1,422139,-1,456489,233109,554977,-1,273544,48746,-1,341135,-1,450028,671206,131579,-1,-1,-1,673290,623698,226536,76156,-1,141065,325887,260460,-1,608176,-1,-1,-1,-1,-1,140037,166006,-1,-1,-1,633675,-1,625027,799119,987238,68559,-1,-1,-1,875761,997033,612199,-1,693656,676609,560016,-1,-1,-1,-1,-1,502659,-1,-1,340516,261286,-1,776709,655813,-1,152425,-1,89561,493404,-1,944073,144233,33613,203598,-1,-1,-1,807198,-1,-1,388859,536104,-1,514299,-1,-1,-1,-1,956908,665270,307678,-1,-1,621058,316124,-1,-1,-1,-1,152014,515387,254483,567205,-1,-1,-1,977365,-1,-1,-1,477245,-1,315063,676495,-1,970593,-1,-1,364016,-1,301560,-1,-1,356032,710458,-1,-1,-1,-1,-1,892760,-1,17881,625884,-1,-1,858935,-1,-1,4206,207531,363811,-1,-1,222258,-1,852961,-1,-1,-1,-1,-1,-1,508373,364794,-1,706203,-1,991305,-1,-1,-1,335312,81039,746728,-1,898450,-1,984791,-1,847956,-1,843835,-1,-1,-1,313507,471968,-1,-1,330723,318687,963873,-1,596945,331009,-1,492602,193340,-1,386760,815789,201035,-1,168702,780451,625846,343617,-1,645610,-1,-1,495683,-1,-1,260538,618396,-1,314780,-1,-1,739502,-1,168751,530373,-1,-1,367216,38111,-1,493383,-1,319028,762445,-1,-1,-1,-1,-1,-1,-1,-1,632595,387054,464484,846785,-1,950687,388363,-1,919868,-1,859123,272472,-1,-1,187509,127,362208,-1,-1,798998,200226,-1,-1,-1,-1,-1,-1,-1,530026,-1,-1,708520,166779,-1,-1,-1,195023,512576,-1,-1,-1,-1,-1,-1,-1,476554,206425,-1,279396,635575,-1,-1,-1,-1,929317,-1,834062,-1,-1,520105,-1,692615,-1,122382,-1,636509,-1,169424,-1,483859,-1,-1,-1,-1,-1,146626,-1,-1,795697,714249,235361,-1,707404,-1,947851,158538,-1,-1,107438,-1,-1,-1,322712,920890,637965,-1,-1,41161,-1,743270,-1,342470,-1,48638,706892,19741,-1,-1,-1,899562,-1,-1,130093,-1,-1,792210,150423,375835,670591,278022,-1,31318,-1,-1,644826,-1,-1,316214,810412,-1,413902,991907,322047,-1,-1,-1,251544,-1,640660,166491,671894,657405,-1,290963,353758,536667,77133,-1,871725,-1,639410,-1,-1,552207,347902,-1,-1,742063,-1,130869,-1,-1,943725,520451,57313,-1,-1,725634,-1,340753,430205,458335,-1,851486,554278,-1,312339,-1,-1,450919,-1,725428,125421,528871,196576,509920,812989,-1,-1,-1,834673,-1,413844,-1,-1,994586,-1,417249,-1,61766,-1,791062,-1,167840,144326,-1,323728,781925,49758,437633,-1,-1,957361,466685,602852,248711,-1,-1,691456,949111,922150,854658,-1,48762,-1,-1,-1,611863,-1,524665,783684,-1,-1,519810,954777,-1,-1,-1,-1,583027,262363,-1,604108,-1,283043,865214,-1,437857,-1,-1,-1,513016,553686,-1,-1,480893,958540,-1,-1,322050,-1,352644,619815,216147,273628,-1,-1,-1,980953,-1,871589,-1,-1,104603,837775,318503,-1,879925,957684,958950,-1,-1,93755,-1,-1,-1,936793,668978,-1,-1,271544,780612,207243,-1,-1,-1,-1,807074,28272,-1,-1,-1,911409,732321,-1,-1,-1,-1,172242,-1,364926,366581,-1,-1,-1,-1,-1,-1,462773,-1,836890,-1,813935,746275,337817,803404,-1,949563,-1,758996,-1,126387,685295,217358,899459,408862,549647,231484,313572,-1,-1,-1,-1,-1,23588,-1,901443,-1,-1,-1,568515,-1,-1,-1,77386,616375,-1,-1,-1,416025,-1,-1,84542,380424,-1,478787,550656,-1,583069,281886,-1,804101,-1,647767,601005,563291,850309,-1,503806,-1,-1,-1,-1,527889,867579,-1,700981,-1,100787,-1,218097,176660,-1,-1,-1,-1,-1,260037,204864,-1,-1,-1,-1,175490,410345,784016,664395,771527,789320,198522,-1,-1,-1,733439,-1,702807,12917,382604,456165,396861,318947,-1,-1,-1,872229,-1,164349,-1,520655,352784,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,108860,-1,-1,613186,-1,541936,-1,-1,811319,98590,204934,294210,-1,-1,813772,270497,-1,-1,-1,660128,-1,952945,-1,173342,806921,-1,-1,644746,84546,813192,-1,37043,-1,-1,-1,-1,-1,-1,-1,-1,439120,426263,-1,-1,471372,236795,-1,125689,18462,454897,66252,-1,99556,-1,280146,-1,-1,590024,-1,-1,452268,738344,354765,757777,-1,-1,-1,-1,-1,610676,-1,-1,-1,314346,481340,114381,687994,592436,86814,-1,756510,-1,158008,-1,322328,-1,-1,-1,-1,37809,468584,345315,430739,135779,297557,887063,852247,745751,645101,-1,100549,304296,929340,-1,985398,565087,-1,-1,-1,277676,173934,-1,415020,598026,-1,-1,-1,-1,-1,-1,-1,645008,518924,-1,-1,-1,737938,-1,-1,-1,-1,402323,-1,39250,96940,222800,177418,-1,413999,-1,842801,843322,360665,-1,-1,-1,466764,446302,801886,494327,759547,548278,722922,560023,216657,-1,505891,-1,10598,314428,50265,880555,-1,-1,-1,203529,543883,647445,835718,780562,627422,-1,428690,-1,799298,-1,-1,344971,198814,-1,-1,-1,-1,-1,-1,369395,859647,157451,560601,-1,-1,19278,-1,499667,-1,31223,638044,103002,796350,246904,-1,494731,-1,-1,-1,418568,482564,201110,-1,306326,-1,524514,937712,105306,-1,-1,202453,-1,449863,185,-1,384533,778465,835151,-1,-1,-1,540505,239997,-1,-1,621868,-1,-1,-1,-1,-1,-1,35684,243696,107733,931286,202598,-1,106946,-1,-1,-1,250317,563414,-1,809715,-1,-1,-1,378991,935442,-1,224730,-1,-1,349868,226035,-1,-1,636486,112301,40722,320246,230007,-1,-1,756348,-1,-1,60642,728155,926909,-1,-1,403259,716640,799207,-1,684237,-1,906112,705657,-1,-1,534663,-1,-1,759008,239502,172895,222134,669588,-1,130453,-1,292107,-1,720016,-1,-1,-1,-1,209602,-1,-1,-1,887229,-1,-1,681175,-1,771490,-1,106134,-1,668252,577884,165844,-1,283653,-1,-1,71016,573862,464661,-1,-1,964029,917394,-1,182546,-1,-1,805488,394475,-1,-1,-1,242515,743094,-1,399162,811815,882879,100218,-1,-1,107514,-1,-1,-1,791033,-1,-1,820997,444646,-1,54858,-1,111604,675334,-1,20493,8075,721452,-1,638478,-1,250070,-1,954323,920061,31426,331680,-1,-1,-1,-1,-1,820439,574606,317859,-1,618628,-1,5793,-1,-1,893614,-1,342391,-1,-1,374499,93106,758059,671182,-1,314343,56466,630123,602707,343850,663199,-1,63353,-1,328223,-1,242237,3473,-1,199571,-1,-1,627153,-1,-1,-1,-1,-1,375725,970397,721353,29731,385332,32566,-1,-1,-1,-1,506362,-1,965813,383363,-1,807697,703955,-1,381365,507956,786806,-1,-1,-1,-1,-1,799486,-1,-1,98488,-1,-1,979312,131865,155511,717773,466684,560855,-1,519837,-1,-1,-1,-1,866281,728993,-1,124938,-1,648405,554332,423880,-1,512975,-1,622229,145181,-1,627776,620471,-1,-1,-1,-1,21418,872448,-1,-1,-1,883187,-1,-1,-1,136770,339286,-1,-1,634624,-1,498274,-1,945356,289459,821794,17832,417189,-1,-1,-1,-1,-1,-1,-1,-1,865188,-1,-1,-1,311673,-1,-1,444212,926352,-1,-1,-1,698780,-1,-1,-1,-1,-1,781348,-1,692359,190962,-1,-1,437144,-1,825090,-1,-1,537873,138178,103625,-1,-1,273740,-1,525527,956855,609963,337468,321358,-1,556881,-1,-1,-1,-1,-1,416154,467421,-1,111205,-1,-1,244266,93658,-1,581246,154146,340570,911408,30074,-1,-1,883398,681176,162849,129755,55968,839645,289095,-1,175427,708823,594070,200261,778759,960983,-1,-1,621176,591059,596379,-1,-1,-1,-1,-1,-1,-1,774572,583539,120738,822084,876708,-1,-1,-1,-1,-1,-1,712375,-1,-1,-1,379582,-1,98503,-1,-1,33208,582098,994585,576727,338163,722089,298326,-1,414819,-1,157565,347574,487351,-1,-1,962671,-1,-1,79787,97088,503287,352305,-1,962703,240845,-1,402548,-1,-1,199873,731931,260828,-1,423100,185055,381746,266417,622039,587508,-1,-1,498215,22349,444817,-1,-1,-1,-1,19065,288149,-1,839145,-1,925678,-1,-1,282629,-1,633526,455843,-1,611052,564765,995879,-1,420999,-1,968839,780909,418198,-1,517054,664589,471342,-1,748270,-1,948503,601250,903400,669761,-1,-1,-1,-1,-1,-1,81557,-1,-1,-1,-1,546665,-1,-1,-1,-1,561911,-1,806474,344744,85429,-1,881862,-1,-1,20400,-1,93606,-1,959481,800188,-1,-1,-1,-1,-1,814589,-1,474826,-1,11548,-1,-1,410695,-1,-1,123995,-1,-1,552935,382428,-1,-1,163659,466592,555651,281764,581098,161089,889594,-1,-1,286772,84022,-1,-1,-1,883797,84577,-1,-1,-1,-1,591783,713749,-1,793854,656128,912267,216945,547891,-1,651149,815875,900172,178707,151982,-1,-1,-1,-1,-1,-1,-1,-1,211541,-1,875962,577574,19525,667428,-1,-1,419774,-1,-1,-1,728440,320215,-1,-1,-1,-1,841223,622138,837454,471336,115765,789575,89826,309164,647918,-1,-1,-1,-1,349548,-1,-1,-1,-1,946240,-1,363870,977423,-1,328212,292063,-1,-1,-1,27280,-1,-1,-1,439292,304222,-1,-1,-1,657025,660807,-1,-1,305461,-1,605537,299577,710437,125342,957504,-1,979600,-1,307510,682993,-1,-1,87440,-1,-1,-1,-1,-1,223514,-1,-1,417823,1813,524480,764164,-1,404951,690977,-1,-1,834772,-1,-1,-1,-1,979621,-1,545071,-1,826734,561984,-1,-1,-1,-1,-1,358699,422094,-1,676288,662556,-1,144785,-1,358102,-1,257099,634081,900002,-1,897368,718134,521802,-1,-1,148113,646869,-1,792326,-1,999790,-1,-1,311621,852999,-1,-1,687449,160042,253341,-1,144484,177667,-1,-1,696925,297305,-1,432454,-1,-1,89108,731567,-1,771784,-1,974702,224036,-1,-1,437244,161886,-1,131006,315637,-1,-1,-1,-1,778765,-1,-1,-1,-1,-1,485180,324331,-1,790927,-1,972823,-1,-1,-1,217248,196471,-1,-1,759077,-1,-1,-1,986875,-1,-1,-1,610304,-1,991833,-1,-1,553873,68371,137067,-1,-1,525130,-1,-1,586862,16461,-1,784620,-1,-1,-1,73034,79190,-1,802654,513597,-1,-1,328459,-1,957770,612718,-1,480711,-1,-1,-1,807703,-1,-1,-1,547813,35408,929606,-1,-1,-1,639682,-1,818758,586573,-1,-1,-1,300786,641480,-1,-1,430999,-1,494797,-1,-1,111777,-1,510314,964369,434549,-1,-1,-1,-1,213304,990701,672177,-1,88922,492172,159977,537041,-1,602316,-1,-1,-1,-1,676241,-1,-1,146068,178733,108063,-1,-1,776996,572775,688091,-1,152632,350848,-1,-1,742799,479229,-1,246725,-1,53001,-1,552311,938355,85442,251321,508503,302650,63696,795738,30339,-1,-1,93971,685791,210624,332759,630917,882844,-1,601940,-1,-1,660732,-1,526198,567972,894750,988150,682436,11700,-1,-1,342934,-1,-1,-1,518535,285580,-1,-1,-1,-1,344671,-1,452368,-1,-1,978125,-1,-1,-1,-1,-1,5027,-1,-1,-1,681895,-1,631590,-1,681002,144582,-1,-1,194109,244611,-1,-1,-1,-1,-1,-1,860470,-1,646122,-1,258931,-1,641846,570810,144229,335538,-1,-1,-1,25614,-1,775648,-1,399550,-1,675968,682168,904846,-1,857866,912481,-1,849368,830517,741297,-1,-1,568020,415804,-1,98553,763898,986146,-1,-1,-1,872358,-1,704575,574254,591385,-1,698086,231954,625143,572220,-1,709492,931282,374920,281216,-1,-1,527214,776372,370407,-1,-1,950922,-1,764962,-1,376290,-1,-1,985239,230554,-1,-1,548276,-1,720374,-1,-1,975952,-1,562274,56165,-1,-1,607757,-1,763878,179870,-1,-1,-1,56047,-1,845660,173868,343662,-1,793996,413264,568777,79850,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,845845,560430,448440,-1,58879,-1,-1,900286,351245,99324,527314,-1,276797,-1,186672,970278,-1,282889,744600,-1,353953,-1,440484,-1,-1,97592,731953,980138,-1,-1,748400,-1,-1,77177,949927,295446,-1,591054,891170,1212,828961,-1,94416,972603,492207,-1,-1,148089,-1,-1,-1,21886,761641,-1,935255,563626,892123,-1,177646,-1,-1,142479,596102,-1,-1,896766,921546,-1,88583,-1,3251,-1,367541,936943,-1,968246,-1,-1,-1,937208,862922,275760,614599,343280,900955,-1,-1,-1,413754,-1,-1,-1,405055,-1,-1,-1,64591,-1,512483,-1,-1,130383,250407,-1,180111,165837,-1,469032,886371,324900,288048,933980,-1,-1,552563,-1,-1,986644,-1,722150,473733,-1,-1,988660,593833,684386,-1,-1,-1,442059,-1,-1,-1,372478,-1,-1,-1,323959,760500,974372,764771,-1,597917,465575,-1,413507,495434,-1,-1,-1,-1,-1,-1,580536,763764,-1,-1,758618,210448,-1,-1,-1,865413,-1,498697,959645,783492,-1,409723,-1,-1,-1,-1,978848,851443,193512,-1,-1,-1,-1,-1,353721,634715,59324,-1,661207,574441,-1,-1,-1,928043,883660,327329,852711,-1,-1,-1,678753,274126,-1,558302,-1,-1,247349,434589,-1,-1,-1,-1,330506,955135,296015,148426,248055,-1,-1,-1,441682,152222,200233,719899,636426,-1,-1,-1,23762,-1,731192,-1,-1,513139,84643,-1,-1,280608,-1,452338,624934,755103,462235,-1,300421,-1,-1,-1,-1,497549,225026,439088,788022,-1,-1,-1,222180,577802,684187,12179,-1,321405,429392,599794,245915,933656,484656,-1,26789,-1,726517,-1,390810,194465,84316,39946,846657,-1,794633,-1,776185,-1,-1,-1,-1,125606,-1,-1,438115,754337,-1,-1,534254,782569,-1,5737,-1,703558,477202,-1,527457,-1,659906,187086,915734,947589,269894,558470,-1,-1,525755,-1,-1,851314,505247,-1,576449,99005,759137,187267,-1,-1,702062,-1,69315,148542,-1,-1,585790,-1,-1,38147,-1,33993,317844,-1,-1,520026,131223,537208,-1,-1,-1,-1,-1,-1,74682,-1,608911,816074,-1,-1,-1,707032,-1,162214,-1,615195,-1,-1,-1,-1,388604,135932,409531,-1,741537,-1,-1,-1,729939,-1,-1,-1,420141,973733,206276,155095,560565,-1,-1,606296,-1,-1,946976,-1,-1,-1,-1,-1,836242,-1,-1,356295,-1,664267,714715,-1,-1,-1,546741,-1,248727,-1,-1,142393,197649,694918,412466,-1,-1,369129,846843,-1,-1,-1,921378,142715,-1,938585,470440,178829,101618,-1,955822,-1,894453,-1,-1,427539,31157,-1,154304,-1,714571,-1,-1,512839,859065,-1,-1,-1,-1,261960,-1,-1,-1,-1,-1,923388,-1,372455,697045,706758,319701,-1,998219,291888,8879,160129,-1,-1,886037,584010,-1,-1,-1,-1,109592,136519,652180,-1,-1,-1,-1,386049,-1,-1,-1,-1,587611,-1,-1,-1,946585,759647,-1,-1,774314,-1,-1,530909,960819,-1,-1,-1,195427,-1,-1,-1,-1,243240,-1,-1,169558,211421,-1,691861,41005,-1,439167,-1,-1,173769,788812,491902,-1,-1,-1,754251,116873,606529,-1,969587,-1,75713,-1,251365,461047,104233,-1,488524,203451,715831,257798,855866,388982,604962,629958,329815,-1,340572,-1,-1,257000,332862,860283,-1,283928,-1,-1,115042,-1,921326,556673,692707,661758,760294,320539,-1,785553,-1,-1,-1,288736,-1,713126,675798,-1,966453,310784,-1,478997,716808,963529,-1,-1,167175,546262,886877,805598,-1,458514,-1,925721,21084,-1,-1,-1,630041,-1,-1,628005,-1,-1,-1,-1,-1,265987,793553,-1,-1,-1,-1,-1,-1,-1,354629,682372,207685,54203,-1,-1,279194,390662,-1,-1,465967,366691,-1,580513,-1,854192,-1,172933,535187,987702,-1,441580,389385,-1,-1,-1,61879,72463,-1,-1,66338,343526,117085,-1,-1,-1,149496,-1,-1,974142,794429,250496,-1,525133,140899,689325,378573,-1,706746,111133,-1,-1,-1,214133,8576,-1,417214,-1,50854,272200,-1,-1,204408,-1,302204,-1,-1,528890,593274,-1,-1,251925,849939,-1,81817,515913,577160,-1,-1,-1,-1,233013,-1,-1,-1,-1,-1,-1,203003,899214,-1,-1,710501,775549,-1,-1,471831,-1,-1,761023,813357,86156,-1,870990,-1,-1,342062,831584,782595,-1,-1,910065,773409,917107,788386,-1,556041,932329,315462,618451,-1,-1,649672,-1,-1,-1,-1,742680,-1,-1,-1,861012,-1,28240,841073,-1,391886,-1,28284,370010,-1,-1,-1,480558,304619,281567,-1,915871,-1,765321,736544,-1,49126,-1,535437,374357,721683,940631,682150,828502,-1,-1,77791,-1,284282,715723,287506,-1,810114,145604,892899,-1,-1,339813,888818,-1,-1,60225,703097,603364,747957,595450,180441,-1,-1,-1,214850,369409,-1,515451,-1,-1,360897,814413,291972,483816,740099,-1,678119,-1,-1,-1,-1,336257,986678,762891,-1,-1,-1,-1,101145,-1,337209,349320,487985,491635,463646,713851,127202,-1,63552,-1,-1,-1,925015,246198,-1,510933,-1,289669,20923,354332,745653,-1,-1,-1,-1,138284,816928,-1,56988,-1,394040,764525,-1,-1,-1,-1,-1,901642,-1,463359,-1,521427,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,231661,-1,-1,205069,895501,-1,-1,-1,764317,-1,-1,-1,216776,-1,258327,10905,-1,53164,-1,-1,-1,-1,355882,-1,-1,-1,354237,355665,-1,969585,6680,-1,806058,700660,-1,-1,-1,-1,-1,-1,343338,-1,291494,547287,-1,-1,81163,-1,-1,308835,639017,-1,-1,-1,418620,-1,752274,856263,-1,121809,486096,594884,-1,318203,-1,554144,618047,687113,-1,-1,-1,274268,-1,946162,471477,943465,96060,-1,-1,-1,75745,548148,318258,-1,-1,232010,137805,205566,-1,818732,273058,749042,775025,22508,-1,-1,495008,-1,-1,399953,416619,207128,843109,394827,-1,-1,-1,564660,-1,656317,279224,-1,355793,467689,849795,808021,-1,-1,-1,466769,350045,144859,-1,375669,148129,367512,-1,-1,673015,-1,439870,-1,-1,346796,813416,-1,943468,-1,954209,522293,-1,190637,-1,315102,-1,620485,565330,-1,-1,68236,-1,609741,-1,98761,605897,-1,581461,477876,-1,-1,702933,999889,-1,-1,-1,-1,-1,327780,-1,592737,-1,-1,-1,-1,895815,-1,-1,903391,-1,160354,175399,-1,381725,-1,823788,716491,-1,306748,-1,532709,207902,-1,-1,-1,-1,756958,-1,-1,383064,972173,180866,-1,-1,592127,330659,223380,262522,486801,998509,504699,345973,823425,488032,52380,780815,-1,-1,150494,830592,312457,-1,200035,-1,-1,654325,849278,-1,-1,-1,230895,559640,567977,-1,-1,-1,796542,329824,-1,747816,188646,759526,-1,779572,-1,-1,454368,834205,-1,26502,-1,910679,-1,-1,178720,570154,291565,164676,-1,-1,-1,-1,428368,864537,571430,-1,-1,919623,199421,-1,-1,948617,985464,489770,7722,141741,197618,-1,464944,744885,720484,317688,-1,541515,974513,-1,472122,787874,-1,-1,212049,753348,-1,-1,206237,115945,-1,585644,901878,829247,-1,-1,191220,194245,-1,-1,-1,-1,-1,689736,552956,-1,-1,493946,66555,458406,490334,-1,-1,717416,884124,851271,-1,812382,-1,198631,712248,-1,559567,-1,863950,579865,-1,-1,-1,-1,729381,279335,-1,-1,728270,552629,-1,983670,-1,-1,-1,-1,-1,-1,74127,689590,438512,74907,-1,-1,-1,-1,112231,286571,-1,-1,-1,777428,-1,294817,834823,-1,-1,-1,597353,735089,584587,437818,-1,-1,460082,-1,898183,-1,-1,222036,477009,-1,-1,796670,-1,-1,276505,150920,-1,169002,672805,175332,653316,-1,241501,-1,33224,-1,-1,-1,-1,-1,905604,-1,373896,-1,-1,-1,282218,806213,-1,-1,340129,105911,-1,-1,-1,299523,162874,-1,-1,383737,49110,367115,-1,209860,-1,-1,-1,811551,435148,996896,489980,272025,984636,749051,132027,831623,-1,592019,811928,-1,438677,-1,-1,353623,-1,-1,743735,-1,159453,989116,945966,-1,7625,-1,661872,-1,409958,808050,95189,-1,177045,-1,671638,-1,490827,218512,88091,391482,767348,284868,354685,-1,14364,-1,209681,-1,342946,724611,843555,-1,206561,262115,399560,-1,419571,464299,802660,-1,692888,-1,402170,45734,-1,545128,-1,-1,-1,-1,-1,766895,308934,285947,-1,-1,-1,274945,-1,-1,-1,-1,753545,-1,-1,-1,514114,863920,285930,-1,708904,264449,-1,152418,-1,-1,190315,-1,-1,-1,192835,-1,604476,-1,240398,69811,535152,-1,647309,-1,70626,62249,-1,222846,273306,430700,511900,454441,415346,677164,-1,720866,-1,-1,110466,246373,-1,419181,-1,-1,610026,-1,100044,-1,-1,-1,-1,417416,571679,444035,387708,-1,-1,548734,-1,226104,-1,-1,-1,654435,-1,-1,-1,-1,965214,992387,422547,-1,176848,-1,166240,-1,-1,-1,-1,-1,403969,-1,-1,879541,873799,-1,-1,-1,-1,901966,957024,-1,-1,797776,178763,-1,-1,-1,885582,203581,275877,-1,-1,854288,-1,7824,-1,488503,467425,-1,469983,214721,130346,-1,-1,945055,-1,-1,5220,870261,-1,-1,-1,-1,-1,344892,-1,-1,-1,-1,38656,84646,331904,-1,950902,-1,-1,-1,-1,967955,-1,-1,-1,-1,-1,-1,539542,725119,-1,-1,-1,-1,533514,531508,513764,468362,-1,931961,-1,479018,721347,-1,94934,-1,-1,-1,459416,-1,231941,394354,335196,605529,-1,-1,151066,-1,-1,449799,328730,640096,-1,-1,-1,-1,825602,-1,-1,-1,-1,-1,279209,679937,-1,355947,-1,62078,-1,617162,635060,-1,-1,-1,-1,859392,457079,729466,627633,-1,278864,785640,654171,-1,-1,531182,341681,-1,-1,494741,-1,-1,-1,662945,350049,897877,-1,743470,-1,405733,-1,224924,-1,235138,92621,517286,-1,-1,698457,-1,59487,386160,-1,-1,-1,722941,626010,-1,206668,-1,280091,232168,-1,-1,-1,181661,898880,573818,-1,435215,165886,-1,35638,-1,-1,-1,773846,74952,-1,-1,616286,408276,653220,262018,169682,-1,625937,62374,338095,-1,371734,-1,862483,125208,847432,-1,-1,-1,505765,955884,810378,379476,-1,-1,1590,280220,-1,83069,-1,-1,-1,120856,-1,482850,-1,47120,-1,-1,806000,-1,950007,-1,875425,-1,605094,-1,471539,-1,-1,214069,320901,353935,-1,-1,-1,-1,-1,91928,-1,-1,-1,-1,685728,975451,162976,-1,-1,-1,767530,217701,809551,220981,697314,71490,579610,995488,734416,-1,-1,-1,71055,-1,831690,-1,-1,-1,980396,-1,-1,622459,-1,-1,314415,394663,-1,543946,305945,770472,269806,-1,389324,-1,-1,-1,869798,-1,172910,-1,212044,425019,-1,-1,676330,902650,88348,448051,778608,185536,-1,-1,377610,472866,-1,-1,119364,324338,303057,-1,536351,614848,-1,-1,-1,813293,-1,-1,-1,-1,-1,696598,-1,-1,861140,440045,-1,-1,-1,410458,-1,-1,-1,980364,-1,-1,-1,-1,-1,82834,605071,583841,-1,-1,-1,35099,-1,-1,340679,702842,-1,962507,-1,-1,-1,-1,-1,-1,605041,-1,117664,890758,-1,454107,-1,315240,642221,-1,-1,791478,-1,-1,322226,481854,-1,269324,-1,514504,-1,703905,-1,756593,179526,220540,437932,453969,-1,-1,506726,785841,-1,-1,587533,229217,-1,-1,-1,172486,-1,654196,443252,-1,-1,405725,-1,113559,-1,661307,610586,842738,-1,333343,265387,-1,-1,666031,874018,-1,-1,34144,643382,34794,644380,-1,-1,-1,782467,-1,795810,-1,-1,-1,266963,-1,-1,563440,855927,224241,-1,-1,185553,-1,362294,634112,-1,-1,562039,-1,806904,-1,-1,880763,844112,845966,352234,481239,932800,543409,-1,439592,905984,-1,-1,-1,717270,710287,255927,-1,800570,115533,-1,-1,69110,-1,151548,318621,-1,-1,-1,-1,383554,-1,103301,-1,422542,457996,800677,933142,812458,-1,761979,604069,186331,-1,-1,-1,408552,-1,58872,381719,-1,861241,-1,-1,887648,-1,-1,-1,943501,639766,595612,-1,-1,-1,-1,326144,-1,-1,21420,387062,372243,28612,-1,-1,-1,-1,-1,99508,360916,80576,-1,446440,-1,828289,513942,-1,105984,-1,287382,-1,668331,772169,805640,-1,-1,759676,-1,-1,294219,651065,614116,-1,-1,154538,83681,78676,883690,-1,-1,-1,934170,-1,-1,-1,986019,-1,-1,-1,-1,714874,-1,-1,-1,1644,520216,-1,965744,984045,-1,-1,-1,-1,-1,-1,949591,195083,-1,685197,699321,206207,156702,-1,911032,-1,-1,-1,-1,616434,949357,55669,-1,-1,195930,510501,-1,-1,-1,627786,-1,126100,-1,-1,-1,-1,386660,389673,-1,624990,-1,-1,821144,480309,254696,-1,913652,-1,749153,-1,489648,-1,-1,-1,771058,486406,20127,-1,-1,-1,-1,847136,144922,65951,-1,862101,-1,520373,-1,-1,-1,435957,-1,174658,-1,310299,976639,927131,-1,868964,157062,234337,580261,-1,302820,-1,-1,859503,897258,39430,750876,755515,-1,-1,-1,232162,614269,850039,-1,147944,567174,-1,242488,-1,-1,-1,-1,-1,57464,-1,314474,-1,-1,-1,627736,-1,222229,471088,-1,158920,-1,-1,326288,724700,-1,-1,296769,534376,-1,-1,17652,-1,539879,-1,251411,-1,981606,471001,545348,-1,271081,-1,805774,-1,-1,92695,236852,-1,-1,-1,-1,75977,-1,984241,53436,780271,826294,752285,898488,-1,513367,357640,983034,453940,783257,857954,-1,-1,237087,-1,-1,-1,-1,-1,-1,-1,781180,-1,334745,-1,573890,-1,696096,-1,-1,795943,-1,-1,-1,-1,375116,-1,-1,924337,489068,-1,-1,-1,792295,25462,170856,-1,-1,-1,318194,80764,-1,-1,983804,-1,504939,-1,-1,317520,884354,-1,723624,-1,-1,-1,-1,109095,167359,36645,-1,185423,-1,880966,753567,421715,235225,-1,-1,-1,-1,-1,-1,-1,911569,-1,533195,-1,-1,661420,-1,273383,6128,-1,928521,-1,54037,-1,228480,884103,520270,-1,-1,449290,187586,-1,-1,809,894000,138586,295768,366838,-1,753342,249599,-1,970631,-1,-1,62801,-1,633960,177405,687853,-1,194575,-1,479837,113113,-1,-1,-1,-1,-1,126408,-1,-1,-1,316150,104403,926733,809672,-1,-1,119252,915397,-1,318080,-1,852655,348104,756976,23425,593170,322034,989396,881313,204443,-1,-1,-1,-1,177396,-1,-1,-1,829620,866983,-1,824556,697091,621521,510177,916804,-1,781568,717,921591,-1,-1,478130,78405,-1,-1,-1,54984,-1,-1,685987,763550,875846,19239,-1,205767,989818,-1,908606,935719,-1,510458,122197,-1,-1,238285,-1,136093,592005,-1,-1,701242,-1,-1,-1,563636,510004,-1,-1,747256,429371,-1,302272,516786,467636,-1,357702,47360,198832,870233,-1,435343,-1,396906,-1,958166,172797,589950,-1,990141,132113,-1,671030,-1,761994,311329,-1,765131,-1,465451,-1,-1,999117,102443,-1,-1,-1,319075,325208,317134,308121,-1,-1,841534,899997,875607,-1,596244,160675,-1,223799,-1,-1,691258,-1,27128,-1,-1,752090,-1,-1,-1,82412,-1,477807,299469,753723,-1,580203,-1,-1,-1,-1,-1,-1,-1,727633,-1,940258,838549,908985,-1,922524,-1,-1,-1,473676,740315,-1,179693,-1,-1,982881,64066,785484,300284,477504,-1,-1,515348,-1,-1,-1,720319,-1,376288,-1,-1,-1,434332,637985,-1,162304,-1,801066,451538,637169,-1,-1,-1,-1,-1,-1,362506,708641,-1,-1,-1,837464,209116,-1,305890,713809,-1,119641,-1,627937,-1,685068,564208,366799,553643,120682,-1,270740,-1,140365,735371,596549,-1,351117,910607,433889,-1,954953,472201,637218,-1,274892,427266,705263,916687,-1,761752,-1,47270,-1,956853,751348,241491,-1,30084,-1,-1,730563,988609,22919,-1,697529,-1,446967,513850,426093,-1,748409,999647,-1,-1,490420,657582,-1,787998,104674,-1,-1,29885,-1,-1,-1,-1,-1,508153,911783,-1,618304,310565,588016,801470,88752,-1,269609,-1,523216,737860,20781,-1,146860,7733,-1,-1,-1,838474,-1,531522,-1,867157,873333,-1,571943,-1,-1,472753,-1,426643,261369,145019,-1,337175,133396,297414,-1,480475,-1,-1,-1,-1,9472,628269,-1,231994,-1,-1,614239,292989,781111,-1,-1,259082,509477,-1,411455,-1,-1,448989,139033,407369,965186,46212,-1,-1,-1,441826,246204,478834,-1,464372,-1,333682,-1,-1,-1,-1,-1,-1,-1,845939,-1,387204,643123,432816,-1,493193,-1,72119,510450,622591,486093,-1,125851,300613,63708,-1,-1,65358,201256,749702,60036,952242,-1,-1,-1,-1,-1,289667,-1,-1,-1,-1,-1,-1,54235,204070,-1,14137,367811,-1,-1,543758,-1,-1,464722,-1,250142,-1,443618,-1,-1,-1,-1,238236,763242,-1,-1,-1,-1,338316,554908,626495,223809,416787,-1,-1,556477,-1,-1,609091,148016,325646,-1,-1,177919,306048,901280,205375,-1,46235,475217,733735,-1,-1,672309,555390,-1,344189,-1,969458,845194,111113,889331,257841,348574,-1,156265,302018,206824,402600,284268,-1,-1,-1,-1,-1,-1,-1,215658,-1,-1,-1,755549,232774,-1,425756,362525,201057,-1,232947,157342,197224,-1,-1,231135,218469,476128,-1,-1,-1,-1,-1,937998,-1,-1,-1,-1,-1,398996,432586,890362,-1,-1,-1,-1,780620,925583,199169,-1,-1,-1,-1,-1,-1,504653,-1,199293,-1,-1,-1,584934,-1,106353,94151,-1,591871,534779,342021,-1,459553,-1,-1,-1,-1,684418,385395,-1,-1,-1,-1,-1,-1,762619,293241,2668,-1,-1,995594,992654,39217,402367,65432,449418,-1,-1,-1,417681,104154,467441,-1,-1,440783,125629,-1,-1,-1,653465,-1,167311,-1,-1,488746,-1,-1,822765,-1,-1,853176,478048,-1,-1,-1,-1,-1,831569,-1,-1,-1,-1,-1,917161,-1,781667,991545,-1,-1,-1,117252,-1,630177,346754,-1,831589,945915,-1,898051,887716,-1,916088,-1,605856,-1,353086,195134,40465,-1,416278,155588,89636,-1,180381,-1,-1,-1,77922,-1,-1,-1,-1,-1,-1,-1,-1,72844,513174,686025,102735,661870,-1,386790,453379,790131,-1,-1,-1,-1,-1,970803,67786,316132,237644,873381,-1,-1,815991,-1,925227,69917,-1,666963,758534,623075,-1,141560,639104,-1,952247,-1,-1,-1,335782,-1,-1,-1,-1,-1,-1,871115,-1,636008,-1,-1,-1,-1,720710,826219,515202,-1,-1,819804,624996,512358,-1,-1,742181,60941,478414,302048,-1,-1,-1,331671,-1,732585,515115,-1,163908,513858,223381,-1,-1,-1,848589,504171,-1,280199,852314,285187,180108,-1,-1,287069,379490,-1,89019,-1,664907,-1,-1,-1,-1,-1,367,-1,915724,-1,300988,160902,-1,51489,12692,-1,724263,534928,722040,-1,504739,-1,35391,-1,485287,472979,354662,252395,121358,-1,-1,801964,980429,-1,-1,377723,474224,686357,-1,-1,695972,-1,-1,-1,-1,307388,-1,121428,553709,-1,190578,-1,-1,-1,-1,729877,663713,-1,-1,-1,-1,-1,765247,-1,-1,359741,-1,917406,339898,696252,339811,-1,-1,-1,-1,809613,448369,403035,213070,-1,39313,-1,-1,-1,-1,830275,138247,306055,249640,267216,837998,-1,-1,-1,-1,-1,-1,-1,496912,117770,-1,28314,849024,-1,427713,-1,-1,31680,-1,289131,-1,780709,-1,412179,-1,-1,-1,-1,-1,-1,-1,-1,784682,-1,179938,-1,-1,702925,889895,287105,508414,292152,-1,-1,841095,432185,-1,-1,-1,-1,552673,-1,-1,817801,-1,-1,993347,182500,163247,662471,150842,208568,-1,-1,557667,-1,471939,-1,-1,-1,324700,666851,-1,334792,-1,-1,-1,-1,-1,355104,384460,950593,527003,78928,-1,-1,69929,64188,374318,719691,-1,-1,666286,-1,-1,715761,911421,-1,-1,-1,206421,-1,-1,-1,249182,576296,-1,137287,974499,-1,-1,33076,-1,-1,-1,3505,719293,294853,-1,940934,-1,183622,-1,737688,-1,529870,-1,190925,698327,878277,528641,345365,320922,-1,43384,399480,416037,-1,791961,-1,-1,-1,902196,475467,153520,-1,369892,-1,743390,-1,305990,-1,944746,501498,-1,-1,99736,436980,590903,-1,758879,-1,970882,-1,438526,896367,183378,328337,855119,438911,-1,452435,358560,809466,-1,559204,-1,-1,-1,-1,464337,187160,995670,953672,127271,890444,430972,362826,615895,635882,255652,-1,-1,-1,117509,-1,205212,732653,969405,-1,-1,-1,-1,-1,735626,464037,417641,-1,-1,-1,-1,420526,141786,225899,691639,361980,-1,521765,-1,-1,-1,640291,209456,-1,-1,891463,-1,-1,655609,505242,525999,523989,871357,-1,-1,116002,-1,667101,-1,-1,-1,-1,-1,107155,-1,222508,421902,54906,-1,-1,301346,-1,-1,296524,-1,240608,78108,-1,-1,867494,808799,-1,-1,-1,483350,-1,815803,283914,-1,-1,-1,802200,387353,-1,204515,959194,-1,730790,70012,422866,822767,-1,-1,381559,-1,385328,370939,281902,202296,-1,-1,926062,-1,239694,416331,765063,-1,-1,-1,-1,34933,293441,19557,-1,-1,195655,-1,997663,-1,-1,105819,-1,728107,730873,-1,-1,347829,65785,-1,611829,-1,716336,-1,-1,-1,-1,-1,947348,-1,485204,422058,-1,934660,-1,987091,915244,149946,-1,-1,-1,-1,-1,-1,-1,707380,462834,-1,-1,121577,-1,122554,-1,-1,-1,134370,418999,431051,-1,76451,-1,585976,23387,806387,-1,-1,-1,770389,147180,673150,-1,446203,313407,690369,-1,196233,140491,844455,-1,-1,941682,-1,-1,-1,951639,-1,-1,-1,730711,490217,-1,580998,-1,-1,-1,970424,973122,568219,450815,-1,253403,653776,600637,522090,837675,206553,-1,-1,915810,743235,851400,-1,-1,-1,-1,6417,-1,-1,-1,722330,-1,494888,-1,990353,487627,-1,-1,194231,498774,139283,-1,-1,-1,448790,718724,832801,-1,777316,945553,397536,-1,-1,98890,350690,196245,-1,-1,-1,-1,814562,-1,-1,-1,-1,-1,-1,-1,347645,170544,926454,-1,543134,102756,-1,678112,-1,-1,974596,-1,675496,117317,367319,24053,-1,374468,-1,-1,-1,-1,-1,-1,-1,-1,311571,-1,626695,550780,607149,993838,338525,409448,-1,-1,87348,-1,-1,412522,264570,731168,-1,-1,-1,225115,687463,41947,-1,529178,810887,960272,-1,753008,119555,-1,715397,-1,-1,328803,-1,-1,-1,85972,314414,-1,243374,-1,-1,-1,-1,-1,-1,-1,743493,330695,-1,669202,440833,-1,705954,-1,111546,881379,-1,574010,88230,695765,679187,-1,-1,-1,-1,-1,456950,48509,281220,419583,370223,769653,-1,-1,587948,927515,-1,489003,868572,-1,-1,823885,797444,148778,666833,55591,725701,-1,317661,351428,874824,-1,-1,661829,237427,371243,708016,698847,27369,-1,-1,-1,-1,794859,158788,607298,-1,-1,582735,589792,229700,-1,255153,571365,-1,199693,312586,311484,470837,-1,769027,256991,396724,810076,907800,465270,-1,-1,326554,695385,552159,-1,876884,-1,157966,-1,-1,-1,239456,807242,915971,937674,103957,267748,782046,636137,536437,838557,515033,-1,-1,940424,933606,308195,667227,990249,-1,560304,433786,298567,-1,-1,-1,-1,468182,643094,-1,-1,48577,468171,-1,-1,611483,49783,660774,-1,549023,962410,-1,50208,-1,807302,-1,-1,766454,-1,477155,-1,-1,903323,-1,-1,-1,-1,-1,407829,344408,75798,-1,477262,298642,432566,864585,668596,467916,-1,816500,-1,-1,831600,-1,204729,149193,-1,677465,-1,-1,-1,-1,736951,-1,-1,820903,-1,-1,561987,-1,-1,675034,738880,248500,-1,-1,437322,-1,-1,949817,473346,-1,237131,-1,980584,-1,328275,-1,205171,-1,-1,143265,902070,-1,-1,-1,978962,-1,597992,-1,485823,-1,935491,643092,58911,-1,364520,321248,317715,991317,-1,-1,319284,-1,-1,979420,-1,-1,762285,-1,-1,-1,382658,480724,530282,803547,-1,-1,-1,975743,939344,-1,-1,-1,105277,-1,-1,-1,402898,389802,-1,-1,945694,167901,222349,940578,-1,-1,152762,-1,883537,991,328130,-1,268834,-1,652304,-1,-1,-1,30492,692132,77470,-1,232269,65225,100970,384294,707563,-1,-1,-1,-1,-1,-1,573924,748557,-1,-1,-1,-1,-1,60281,-1,-1,-1,332311,-1,963268,-1,-1,-1,-1,-1,530014,513512,738089,-1,-1,58260,20683,-1,175021,-1,609707,-1,-1,726326,370368,946808,-1,414307,621282,703441,-1,783153,166971,729204,709710,-1,242558,-1,633834,-1,978485,652868,993660,903350,67028,-1,290319,428760,318793,520834,-1,651787,584711,-1,752580,545202,585174,651235,-1,895494,619209,338995,-1,186640,-1,-1,609447,-1,57309,935448,-1,618547,-1,-1,-1,500520,-1,-1,-1,-1,365802,634713,909712,-1,-1,-1,-1,-1,-1,417045,-1,-1,180118,-1,92442,-1,153125,772054,125383,708482,933387,-1,-1,57406,293488,578482,322192,290712,438963,-1,106526,690296,646723,484405,-1,-1,328912,533571,-1,21278,-1,828819,138927,-1,-1,-1,980678,466604,851266,-1,-1,-1,796381,451308,329557,-1,518902,963687,-1,-1,-1,577248,299406,90787,747678,735325,-1,298500,-1,-1,52911,509636,-1,-1,310617,358751,-1,-1,915845,-1,116773,-1,302907,-1,-1,-1,-1,-1,-1,683823,276845,-1,567464,857099,868415,87251,-1,-1,-1,81019,697284,-1,384381,615594,842373,663790,88695,294391,936085,735117,-1,730673,52675,-1,-1,-1,-1,626940,-1,732635,673695,-1,873878,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,771188,138481,-1,840250,-1,-1,657800,978575,-1,528683,904891,758753,763915,983703,57200,-1,405157,-1,-1,-1,-1,-1,-1,-1,348828,-1,174573,-1,881303,-1,236058,-1,-1,-1,-1,-1,-1,-1,653822,229147,529043,-1,-1,342073,280740,125995,-1,457095,-1,518380,337434,285059,132795,476227,-1,61634,446797,493643,196720,228048,-1,-1,-1,-1,564266,321938,-1,814182,493016,718843,342577,-1,-1,798578,-1,-1,-1,-1,-1,-1,392931,-1,-1,-1,49754,-1,526250,530778,-1,619319,679807,786606,-1,891323,665300,628582,742450,-1,517002,-1,-1,-1,-1,522609,-1,-1,-1,325559,486956,-1,-1,-1,26417,893636,745444,-1,-1,400664,-1,-1,-1,766422,-1,212470,-1,-1,758200,502612,-1,686935,931686,-1,567834,988966,-1,-1,431369,493285,-1,99349,530337,137927,435863,-1,-1,-1,-1,-1,-1,-1,463737,149607,884072,642614,-1,-1,-1,-1,-1,610561,-1,975046,-1,-1,115891,976455,-1,-1,-1,861123,829260,-1,304257,111876,506896,474941,-1,328917,692535,57653,612535,-1,466570,-1,-1,-1,291606,-1,190338,-1,-1,-1,-1,492453,740969,-1,794443,923633,-1,-1,9287,871251,254746,-1,349605,-1,896955,-1,520631,630881,731916,-1,346333,367231,-1,-1,-1,-1,-1,200193,-1,355386,244501,-1,411260,-1,95380,788314,993433,649117,976757,-1,-1,22492,-1,234524,962548,-1,266566,-1,664741,832928,-1,476076,409732,-1,-1,-1,662082,-1,945863,-1,-1,41494,-1,560137,950037,737326,900809,-1,569990,854636,406475,-1,404251,-1,-1,266368,-1,988719,673277,-1,47443,115357,-1,630264,24472,-1,617874,300781,473053,-1,-1,908706,39808,217446,839130,229186,-1,483106,279753,218571,21876,492920,522842,-1,333377,917452,281343,-1,-1,-1,-1,-1,604707,490572,185835,-1,933158,964974,172206,603914,210716,188121,77797,835928,-1,280060,-1,199849,164000,-1,-1,-1,162997,-1,-1,961933,984724,676796,-1,89128,948220,849167,319397,887016,-1,856864,913054,11155,-1,37883,149205,-1,-1,-1,-1,-1,679456,923353,705817,897210,736411,305470,-1,711591,632626,-1,-1,-1,-1,467430,-1,758566,368217,-1,627241,792311,-1,-1,657370,553793,-1,-1,608948,373947,678993,-1,-1,145687,-1,-1,517838,-1,-1,451930,944819,-1,-1,-1,530575,-1,-1,-1,-1,-1,-1,-1,-1,791079,457473,-1,-1,-1,832029,-1,469273,-1,352232,761551,-1,414456,-1,-1,-1,756292,-1,869724,706419,-1,-1,-1,807368,-1,435053,420121,-1,170963,31542,676690,-1,-1,801133,169402,296174,469554,836443,762050,-1,601624,-1,383110,868429,449769,-1,938204,16592,-1,993849,398460,405901,783495,925536,392160,-1,611168,852570,-1,-1,62967,-1,698860,419742,657810,938110,-1,526753,583284,104396,516306,-1,602213,-1,651170,-1,-1,189696,403713,-1,420210,110982,-1,-1,-1,-1,-1,188910,37502,900623,-1,-1,252279,-1,-1,386456,-1,897080,694126,-1,-1,534554,141465,520131,64837,309424,-1,506979,-1,852829,193399,283666,-1,642506,848819,134067,267384,-1,375008,-1,-1,767031,-1,-1,894129,918618,-1,330235,461680,323664,-1,646911,789673,74263,-1,-1,-1,-1,359053,22401,449933,415696,-1,359070,40886,476391,-1,494607,-1,838819,-1,419765,-1,-1,709350,333194,-1,-1,-1,-1,-1,-1,579051,266273,-1,198318,155297,835978,671196,620236,-1,-1,195402,727915,-1,-1,446287,-1,-1,-1,933840,-1,887360,155157,543804,-1,-1,-1,-1,757876,753649,-1,-1,-1,136007,951933,842040,631969,-1,641675,950046,-1,840951,258152,720596,-1,-1,602347,-1,385187,800192,-1,417302,-1,-1,-1,-1,326956,311972,579592,-1,191314,666387,-1,-1,44394,738950,-1,654180,-1,43740,390784,579225,564606,880367,816604,812592,103335,378350,617095,-1,519515,187763,-1,-1,949315,390975,153186,730852,809785,-1,-1,419512,273448,735274,-1,-1,-1,-1,205395,-1,601929,342290,625608,67537,210421,-1,523527,-1,235510,842972,407047,-1,-1,591403,167963,-1,100014,-1,-1,-1,-1,-1,-1,48450,761486,-1,-1,855203,310911,-1,287457,-1,471534,-1,176263,857105,-1,110241,930408,687732,-1,-1,-1,-1,-1,-1,-1,-1,-1,747975,-1,-1,-1,804556,416634,-1,-1,-1,810776,-1,-1,-1,716844,509600,740921,331392,-1,292746,187492,280871,264346,-1,-1,-1,974164,106624,439125,461688,-1,529589,-1,-1,290461,909699,789256,71008,-1,10183,551433,267371,805187,116030,-1,400909,-1,713863,-1,-1,-1,-1,-1,204248,657946,185763,-1,-1,-1,-1,-1,140819,138933,-1,-1,-1,284318,-1,-1,-1,-1,-1,-1,-1,575032,197027,-1,731514,-1,515848,100249,467541,-1,7187,-1,956758,-1,-1,641201,776245,-1,-1,-1,-1,144528,-1,-1,-1,300157,660090,-1,-1,-1,-1,292738,-1,191570,874971,-1,-1,-1,-1,156638,418236,-1,-1,-1,-1,-1,-1,-1,993387,397253,-1,-1,684170,949154,795143,-1,698421,-1,421448,-1,-1,-1,980621,-1,573369,76797,-1,798306,-1,595877,535612,823485,-1,999097,-1,-1,90649,114119,-1,-1,-1,-1,888875,120747,771307,272237,-1,-1,-1,183075,631660,-1,80836,-1,411223,726729,-1,236799,737588,904772,-1,214079,383307,29755,441900,517637,465817,-1,751063,-1,-1,-1,-1,970903,784632,870555,975793,-1,-1,851297,231770,-1,-1,482251,742520,550678,-1,-1,-1,-1,-1,156874,624582,-1,624943,458888,-1,-1,223526,900478,-1,-1,-1,-1,668171,400601,-1,-1,499516,484739,-1,397598,951822,119158,-1,49348,-1,-1,866809,343776,-1,766978,-1,535452,464010,940758,556218,466638,-1,621542,834848,334944,-1,-1,-1,-1,-1,562200,355677,-1,-1,945790,-1,806532,-1,-1,-1,744884,-1,866685,906559,-1,-1,-1,566520,695014,553379,-1,73063,-1,-1,638633,-1,-1,-1,-1,-1,586957,811821,-1,-1,515918,-1,-1,-1,176579,-1,-1,-1,-1,-1,299158,838201,572780,64791,-1,775775,960799,439590,-1,332882,-1,-1,-1,953510,811289,857942,269593,-1,-1,-1,445136,219517,101668,675799,-1,690220,525538,663954,-1,-1,-1,466744,-1,-1,-1,-1,-1,-1,-1,-1,915246,-1,665599,717636,952218,584673,369397,111288,-1,-1,-1,619045,536309,-1,-1,-1,-1,11841,494949,353036,-1,-1,805700,603256,-1,429568,50190,903265,-1,705084,700181,-1,-1,-1,-1,-1,793743,-1,-1,81883,-1,-1,-1,-1,216812,-1,429714,972063,578853,983837,227849,-1,-1,-1,-1,650726,955815,-1,-1,486465,598455,181055,-1,883143,-1,-1,-1,292398,-1,-1,-1,-1,-1,-1,962754,-1,684574,133866,370901,-1,-1,-1,886801,-1,44025,369684,855466,-1,421507,-1,-1,84164,-1,728675,680721,-1,247612,498243,65185,-1,-1,14950,-1,-1,891565,-1,152506,-1,901733,-1,-1,-1,-1,490944,-1,-1,302020,-1,-1,225138,883420,-1,697072,-1,-1,-1,861237,557018,825178,-1,361742,996130,261088,407751,694069,-1,-1,-1,-1,406944,774299,-1,286451,830178,-1,-1,-1,395934,-1,419404,-1,408884,335985,91182,-1,-1,-1,138874,506217,852321,144218,-1,-1,637539,864973,889415,-1,263559,-1,-1,-1,861145,-1,-1,44130,963861,38651,223736,474080,-1,-1,-1,-1,822296,562729,39926,289020,-1,459469,-1,444375,-1,-1,-1,-1,348545,-1,294441,44713,366148,-1,-1,712388,471289,802402,555271,522030,773296,-1,633662,-1,-1,622019,-1,-1,-1,-1,-1,404232,-1,638877,-1,435469,-1,514157,872341,-1,-1,-1,-1,335851,740468,-1,789194,37183,971881,-1,-1,669460,498094,-1,486489,-1,646045,914263,252723,-1,-1,893404,-1,-1,-1,-1,951058,585335,789648,84140,799532,-1,839787,-1,-1,-1,-1,-1,-1,-1,926925,-1,-1,386120,-1,682015,-1,489270,-1,93342,-1,973502,-1,-1,616181,119132,-1,-1,-1,339731,956860,538326,101692,659305,-1,-1,350923,-1,394025,-1,386269,278743,64079,643264,-1,462250,-1,985436,-1,-1,36663,-1,-1,818523,722771,129731,77190,332499,-1,-1,142078,-1,-1,-1,-1,198471,749985,198010,673447,538577,-1,173740,19248,-1,380512,-1,657173,-1,848384,-1,-1,-1,-1,-1,26695,-1,-1,284028,-1,618426,-1,-1,369542,876509,-1,126048,372747,-1,695012,-1,728201,-1,-1,-1,-1,-1,-1,273601,944964,-1,755251,605177,-1,166028,664181,-1,-1,-1,-1,185676,532304,599164,578880,-1,-1,-1,-1,-1,-1,51126,70921,869678,-1,673134,660549,150849,-1,-1,203976,76467,11355,26746,-1,129487,-1,-1,-1,628920,-1,-1,-1,-1,-1,929545,-1,593717,-1,-1,-1,429944,-1,973542,45794,-1,796755,509836,151729,507259,87992,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,151683,-1,-1,661524,1693,-1,907198,7960,-1,-1,641558,-1,167255,325273,-1,130798,603835,161689,50658,178739,796814,-1,53048,53177,341154,-1,313222,80445,941944,-1,649492,237495,-1,35781,433672,-1,-1,-1,105625,645094,-1,-1,726263,871272,-1,545558,993980,-1,571767,-1,882631,649250,91544,788097,-1,93479,230698,945458,-1,-1,556454,-1,-1,-1,-1,-1,849303,13008,274061,87379,689795,-1,854340,-1,606328,894122,-1,-1,949825,-1,-1,-1,558656,548655,900681,24310,287873,222751,-1,-1,406489,913657,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,598059,733090,568304,-1,-1,-1,978808,-1,-1,795025,-1,-1,-1,-1,-1,730788,670388,767495,644169,611325,494889,-1,-1,-1,391277,-1,918216,-1,-1,-1,-1,373114,357353,278755,238051,-1,-1,-1,745433,703271,-1,254391,775441,887426,912802,161790,663029,670478,-1,-1,-1,813137,933741,-1,-1,714062,-1,-1,-1,413478,-1,623120,324258,91743,-1,982163,-1,95154,345889,-1,82684,-1,424914,-1,100645,-1,974705,121570,-1,51171,450526,-1,902789,602975,-1,302283,719359,117150,393896,711672,-1,445726,-1,197622,801480,-1,2746,340160,856756,-1,-1,237704,-1,-1,-1,-1,-1,485124,-1,667863,-1,356712,-1,-1,-1,-1,-1,-1,-1,-1,843145,-1,-1,746925,-1,-1,670118,591308,335768,-1,481338,-1,267395,166295,705475,689239,699815,-1,347010,161930,-1,-1,768017,-1,-1,594377,-1,728312,-1,907424,983175,-1,460074,893105,-1,170594,493363,-1,-1,691818,-1,-1,-1,949725,341285,-1,982862,490955,-1,-1,613319,610843,26128,554287,197774,201761,-1,-1,419254,649020,-1,-1,-1,-1,878575,-1,844099,-1,193872,823631,805259,-1,652711,644742,199261,-1,-1,580745,-1,111774,102048,488443,-1,-1,-1,531952,-1,641209,-1,747857,319933,204526,178268,72056,-1,305262,866950,59926,-1,-1,932964,-1,164500,-1,-1,277679,-1,997798,261641,830938,507316,-1,-1,854740,270172,926765,136046,-1,-1,-1,529407,-1,449319,-1,427130,916593,704313,-1,479135,379313,-1,110559,-1,-1,918171,-1,-1,491580,338663,-1,-1,892521,966956,-1,529858,-1,208165,-1,733396,446246,-1,834937,719271,-1,458192,-1,187007,-1,-1,-1,-1,-1,55740,243487,31060,-1,491827,-1,-1,-1,-1,720099,-1,-1,21257,-1,-1,-1,-1,474372,144647,-1,439770,-1,-1,-1,696592,889823,498373,648316,130463,544103,-1,583684,-1,253337,-1,-1,663439,-1,-1,-1,-1,-1,456647,224460,-1,491062,407675,900919,-1,-1,409426,296724,-1,-1,126889,-1,-1,-1,934183,942690,-1,-1,-1,416897,351780,-1,938890,-1,-1,-1,-1,-1,58542,-1,-1,-1,-1,304912,294573,754664,909677,-1,-1,360872,458276,667075,748937,-1,36622,-1,840105,702046,321847,-1,139427,-1,906914,85322,460816,129621,-1,-1,381288,256628,-1,899514,-1,-1,413745,659848,-1,262443,501450,-1,174500,734533,470725,-1,-1,-1,-1,709750,415349,-1,-1,-1,-1,-1,969430,93843,-1,-1,-1,-1,-1,-1,340941,-1,423938,-1,-1,725664,-1,-1,-1,-1,-1,685393,-1,-1,69411,-1,-1,890111,-1,101015,361478,1421,707449,-1,205867,-1,-1,-1,-1,-1,418016,-1,123482,214737,552593,618501,79717,-1,568296,-1,143069,866542,-1,852265,284021,-1,-1,103414,-1,731420,859200,229751,-1,-1,-1,541138,54053,-1,910295,249130,-1,51730,-1,-1,722735,-1,224914,680202,684473,-1,284952,193695,898713,433585,-1,-1,-1,45042,697121,250571,474484,331861,-1,-1,720013,-1,157583,71718,-1,686983,-1,61601,110515,-1,642587,-1,606509,-1,518311,133430,-1,686019,797473,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,345535,989602,-1,-1,533546,-1,901308,-1,602915,-1,153748,272417,-1,99130,527172,355902,-1,-1,254058,454619,998031,-1,595279,450943,228023,605892,887977,828215,43020,-1,-1,876787,728542,-1,-1,492867,-1,853398,937982,919027,816268,997868,78394,-1,-1,509777,317874,-1,9844,-1,-1,740131,-1,-1,869214,672911,-1,-1,958760,730881,895563,699851,122533,424474,-1,-1,845943,-1,985983,-1,-1,955409,501934,-1,850377,-1,-1,925558,-1,661291,-1,-1,76417,196695,-1,-1,622371,-1,-1,93293,449777,-1,-1,-1,-1,115650,587228,573100,897584,717034,-1,-1,-1,99891,6616,209542,-1,306240,-1,60657,573558,446618,-1,-1,-1,-1,272625,-1,216644,-1,-1,380024,-1,-1,803085,-1,-1,25675,-1,-1,865370,154286,448058,-1,-1,672481,601787,481751,170787,-1,235121,-1,-1,166135,-1,-1,-1,848110,35454,924653,716926,774652,-1,469439,-1,854330,-1,-1,-1,-1,49421,-1,-1,135768,599540,778472,580553,-1,371358,-1,202717,-1,-1,581134,-1,189811,-1,540013,688297,770529,-1,-1,295559,-1,768659,-1,165070,852452,-1,-1,-1,-1,629083,-1,-1,-1,257545,323940,-1,-1,-1,-1,-1,403132,885072,-1,760971,772755,-1,826013,-1,991773,-1,-1,191358,360528,484905,938842,657314,-1,540147,-1,425254,307734,-1,204648,827893,366771,832377,-1,-1,-1,403275,-1,256516,-1,599113,-1,-1,-1,229335,128809,767236,-1,554468,-1,-1,-1,-1,-1,-1,-1,383917,78208,-1,-1,425477,-1,923946,-1,575057,-1,-1,-1,-1,565937,-1,-1,-1,585194,306036,707270,794471,-1,-1,-1,-1,587396,-1,-1,-1,-1,-1,438549,614856,185561,-1,-1,-1,-1,670594,273967,601767,-1,-1,-1,-1,-1,224196,897663,-1,785983,-1,356527,-1,-1,-1,-1,-1,-1,-1,676174,131453,401220,547235,-1,420029,426073,574810,-1,927325,652596,-1,124499,800508,893508,81242,683372,949703,17453,-1,126184,-1,706756,164881,-1,184174,-1,-1,-1,752922,761833,893335,233550,-1,-1,69550,193645,-1,935277,-1,-1,-1,-1,-1,-1,548399,282281,943145,-1,816643,586923,507392,266652,-1,978494,857154,53534,-1,-1,-1,-1,938627,-1,52011,379773,-1,-1,663202,525323,435097,362745,634018,562403,-1,-1,-1,-1,997136,881151,-1,92799,859578,201013,-1,-1,-1,781192,-1,841036,-1,-1,-1,899406,-1,839001,-1,111505,-1,202441,-1,45980,-1,-1,983933,478768,-1,-1,964967,-1,656242,-1,-1,849958,-1,-1,-1,844,-1,993307,844943,-1,-1,209998,-1,-1,-1,-1,494515,-1,-1,-1,793143,-1,-1,832682,582780,507529,-1,-1,346868,-1,697123,170009,-1,638697,559606,-1,-1,-1,314502,761688,-1,963392,-1,-1,-1,-1,-1,29236,-1,-1,-1,225921,-1,-1,-1,851558,-1,-1,-1,836808,-1,571503,18576,-1,361979,623344,230268,-1,-1,-1,-1,547369,637909,486067,930638,-1,-1,-1,512821,-1,-1,429417,-1,699791,312644,-1,-1,-1,-1,-1,192080,-1,-1,-1,-1,-1,-1,-1,898242,-1,343475,-1,374660,-1,988156,-1,-1,339748,-1,-1,901747,-1,259339,-1,-1,-1,269886,937603,234675,-1,105835,301072,-1,-1,73568,-1,-1,-1,-1,-1,-1,-1,775435,-1,-1,37857,23974,702759,-1,941012,920356,-1,-1,-1,155544,649988,-1,163178,839221,695079,-1,-1,922560,607193,72058,-1,-1,525075,556470,653735,676381,679354,-1,438708,621046,-1,238416,-1,472648,-1,-1,13988,-1,174891,411635,-1,597033,-1,-1,-1,246600,-1,598979,324051,16049,-1,-1,12985,-1,-1,-1,914259,-1,921383,114821,-1,182779,-1,-1,146636,-1,-1,210788,661405,-1,-1,145350,-1,-1,-1,-1,138985,539787,-1,-1,765305,669104,29918,343730,751432,351537,-1,115406,490078,-1,623445,-1,436902,252870,-1,-1,-1,-1,-1,-1,-1,925525,-1,164251,524994,-1,289827,868014,-1,-1,-1,876593,-1,774380,-1,936696,-1,-1,-1,718776,992426,180486,-1,-1,-1,520009,-1,-1,487760,523442,-1,551764,-1,-1,-1,710706,-1,-1,308679,113208,129803,-1,-1,62216,-1,163897,-1,128791,850171,-1,-1,881904,632507,-1,-1,-1,57829,441402,821250,392684,-1,953874,126630,-1,828633,241960,-1,-1,-1,669436,990397,483074,225358,450322,-1,-1,-1,602830,446532,257177,157281,392271,502582,130674,907430,-1,-1,914166,-1,-1,931275,504773,-1,-1,55013,69775,330197,-1,171820,-1,60086,49403,990760,-1,-1,329280,797032,-1,388179,391846,-1,-1,-1,623551,-1,-1,-1,-1,-1,674188,964188,806690,562782,-1,-1,-1,-1,210693,396324,867107,-1,969753,522152,119783,527002,860073,214537,559401,21585,-1,394930,-1,43059,358307,-1,-1,-1,-1,730771,-1,-1,532565,168496,-1,41859,-1,-1,447396,-1,-1,-1,-1,-1,849589,-1,-1,318915,898525,548162,687344,499498,-1,394258,818483,-1,-1,23549,-1,-1,425291,-1,605230,-1,420419,-1,346393,-1,591590,234796,264365,458302,-1,427115,270052,-1,462393,-1,724127,858228,672757,538255,250609,-1,-1,729886,784412,996156,959168,678952,-1,-1,-1,-1,123275,-1,53630,404362,-1,-1,86595,-1,-1,-1,-1,-1,-1,-1,887015,-1,948579,-1,-1,-1,-1,-1,-1,-1,302502,236218,-1,-1,-1,-1,229721,-1,347224,-1,-1,-1,-1,-1,-1,598790,592164,115171,-1,152829,-1,-1,-1,-1,-1,385358,967168,776785,919461,690374,-1,397953,806380,-1,694021,-1,-1,111452,-1,744384,53056,-1,-1,-1,-1,179860,-1,-1,373514,241861,-1,681810,668506,32502,161485,-1,278836,-1,7399,-1,734480,-1,-1,872271,723172,359824,608308,159209,-1,-1,-1,-1,-1,913743,-1,729368,-1,-1,118213,-1,-1,-1,94983,-1,987694,-1,-1,-1,-1,336160,108892,719125,-1,472362,-1,900754,-1,942753,-1,-1,549617,-1,83964,-1,195375,698587,-1,-1,-1,819649,445798,-1,-1,15757,-1,590324,-1,-1,258695,529357,-1,979352,171067,-1,972106,-1,487232,-1,-1,-1,-1,-1,-1,47779,-1,236694,390839,-1,274116,435688,-1,54693,-1,-1,602588,913318,346226,-1,223768,568298,390035,-1,-1,249337,-1,-1,-1,-1,936597,-1,-1,-1,-1,-1,-1,-1,19524,-1,461545,-1,-1,-1,-1,-1,494585,-1,-1,506373,915727,142903,950882,93296,-1,-1,-1,628372,-1,874622,513650,-1,-1,-1,696880,51255,754877,-1,505461,-1,203039,-1,-1,-1,148692,518628,-1,613790,505185,252061,-1,-1,642389,-1,331652,-1,756697,-1,-1,-1,-1,333225,827481,16516,116164,433914,-1,487248,-1,896784,-1,754551,-1,-1,210940,253772,915191,-1,702628,-1,161676,-1,939179,179851,-1,908821,833048,754390,100625,-1,557304,-1,203434,154885,-1,-1,391582,-1,-1,-1,503099,98280,-1,-1,982656,916045,-1,-1,675752,-1,733652,-1,-1,-1,954550,220305,-1,353980,-1,897551,-1,479627,40253,-1,137683,317526,116796,925799,164260,143830,-1,34005,69743,-1,-1,-1,-1,-1,-1,-1,-1,305219,277363,973882,-1,-1,421961,667612,261933,292875,244782,-1,91757,633296,835191,-1,-1,-1,-1,895757,783416,-1,-1,280168,-1,206240,157995,309072,372515,-1,589443,100510,335159,909313,-1,792084,312866,-1,448508,-1,-1,-1,-1,818166,-1,-1,169324,218101,990712,-1,869229,-1,-1,-1,-1,370651,-1,335915,661479,565709,-1,-1,-1,664098,-1,233892,-1,328114,-1,-1,-1,-1,-1,601617,120018,598490,-1,-1,-1,227877,-1,-1,-1,-1,-1,168450,-1,-1,928168,465886,-1,682524,-1,-1,887330,-1,-1,-1,-1,-1,-1,57621,485948,-1,-1,-1,-1,918484,-1,538703,-1,-1,-1,-1,-1,-1,601620,989447,-1,349384,-1,-1,411535,632359,861691,281122,830530,312233,-1,910024,5629,-1,606483,-1,-1,868453,831818,-1,-1,954101,21517,-1,159664,276813,98290,377497,437029,627446,319574,-1,-1,372275,44573,-1,-1,-1,-1,-1,902545,788308,518115,879302,-1,-1,815146,516170,-1,235295,-1,781633,531802,386413,324877,-1,599907,599311,272864,-1,630487,-1,-1,-1,23168,-1,486006,122017,-1,-1,915077,121558,-1,-1,422658,-1,-1,448918,56329,491890,-1,618897,542275,809570,-1,-1,999259,-1,-1,292188,781885,-1,183594,-1,875038,625025,533959,252748,594648,844076,492599,-1,-1,-1,269589,829870,-1,609140,638753,-1,-1,-1,-1,-1,-1,-1,760633,-1,-1,-1,-1,781001,57800,336695,30406,475654,-1,-1,735040,223265,117520,221854,143178,681512,-1,-1,-1,-1,98513,-1,949484,603997,-1,582041,570683,884586,-1,554568,-1,790218,-1,738264,283722,537299,-1,465095,-1,-1,-1,848661,-1,-1,85175,729009,-1,924364,-1,481261,919468,-1,-1,314275,-1,831926,747067,138880,570344,-1,332991,248585,772983,-1,-1,98228,-1,-1,-1,642524,670564,436863,-1,926544,779124,-1,160470,625810,-1,-1,-1,896264,-1,-1,70689,-1,251073,177004,88226,717509,-1,-1,-1,-1,-1,-1,-1,-1,437772,945344,612893,751911,143070,-1,-1,965443,-1,582166,344670,-1,611347,943151,473539,-1,-1,468626,365303,972549,-1,-1,103318,591351,844642,220009,65339,-1,108941,-1,148436,-1,158141,-1,504900,-1,-1,304469,-1,-1,486852,210374,-1,42988,666802,-1,-1,-1,249730,-1,-1,-1,92061,217414,793471,231005,444691,381865,636758,-1,489427,974719,-1,-1,-1,-1,-1,545288,46821,-1,621929,-1,-1,734119,308937,489434,-1,-1,78642,-1,873727,835715,-1,58284,980374,-1,-1,-1,971796,-1,93345,-1,-1,-1,-1,-1,588565,-1,-1,550528,396018,930564,-1,676191,313568,359110,-1,303972,783059,458341,664997,-1,-1,-1,229000,555923,-1,739490,-1,-1,-1,-1,601949,924316,-1,396751,-1,552530,871541,478195,787822,128252,452311,-1,155990,-1,-1,804054,-1,-1,27866,-1,580657,-1,-1,-1,71669,122707,194012,724376,436958,122919,278702,644488,-1,-1,-1,-1,-1,-1,-1,-1,-1,567939,424824,770495,516599,-1,480898,-1,-1,815567,-1,-1,310948,958723,-1,-1,-1,64858,-1,361001,439363,-1,-1,-1,425868,494818,204230,645414,-1,-1,-1,229052,-1,863120,481141,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,353004,556627,-1,-1,199373,430689,-1,272208,-1,-1,-1,899640,-1,416944,-1,517735,-1,642567,234317,-1,830852,-1,-1,-1,19240,-1,532629,-1,-1,-1,-1,-1,-1,-1,881735,-1,-1,-1,-1,491849,-1,-1,-1,385398,-1,640341,594689,953068,-1,-1,628073,501102,-1,-1,129481,-1,856844,404190,-1,-1,215514,-1,926209,117584,629065,-1,-1,-1,155149,743650,693040,-1,771108,703284,-1,599101,376756,-1,-1,742756,-1,-1,-1,571004,923535,172121,-1,840334,626807,459888,-1,277010,845768,-1,863514,-1,-1,382661,461925,-1,-1,-1,693675,709649,-1,-1,-1,-1,-1,167383,959125,-1,591510,-1,-1,505462,-1,-1,-1,-1,273932,254603,403274,-1,396042,653529,450291,583663,-1,-1,520450,682947,38693,-1,560011,-1,728222,-1,115193,-1,-1,314451,474781,576398,-1,-1,809408,-1,804810,-1,-1,-1,860201,-1,-1,-1,925155,865391,169105,-1,714262,964367,701208,-1,569970,-1,287933,314200,12180,-1,-1,439440,689952,-1,412828,944417,-1,-1,-1,319034,973342,433606,-1,-1,-1,770995,73679,-1,-1,225654,-1,934736,992450,-1,64235,956735,165275,-1,-1,4320,-1,-1,259041,-1,-1,681135,-1,-1,-1,300411,897945,443310,-1,666310,905885,-1,465515,-1,-1,438999,-1,-1,-1,-1,-1,111183,-1,573493,-1,-1,806516,-1,208357,41864,304312,975515,737316,264900,-1,-1,627026,586774,911336,961966,785240,-1,148320,-1,-1,764702,238167,-1,-1,677223,322106,-1,422561,-1,-1,194275,-1,19352,536219,-1,-1,-1,832370,-1,-1,992101,64426,925251,605019,-1,422181,-1,-1,170718,269581,-1,-1,-1,289898,-1,-1,995152,729629,-1,333224,-1,889227,-1,-1,277030,-1,-1,-1,367318,226272,874863,636597,-1,169207,-1,728174,884723,-1,-1,330242,-1,558115,-1,-1,-1,598647,117323,-1,439779,-1,-1,260549,-1,-1,890856,611118,8860,812,566826,-1,379944,967545,375993,-1,693250,-1,-1,-1,-1,651671,-1,151637,495554,5007,850980,332463,804328,898245,-1,-1,327859,270729,989196,-1,93632,250326,471362,645856,190680,-1,-1,-1,845633,951908,-1,595493,-1,37734,430558,208724,-1,-1,-1,-1,-1,-1,-1,786167,-1,702178,-1,881682,762511,-1,690794,-1,-1,-1,-1,176166,754533,542469,-1,166923,351596,102656,568791,-1,693464,-1,713022,-1,905282,960852,673425,967449,322982,276551,-1,653857,-1,-1,516755,-1,662475,374533,550474,920,193667,841514,606559,189794,-1,-1,366853,-1,-1,102576,-1,-1,-1,-1,129092,-1,118314,766314,426144,48259,395926,-1,-1,-1,-1,575251,-1,-1,249288,733302,-1,558642,-1,196726,-1,716024,-1,545516,721309,-1,155851,-1,62414,420823,732711,-1,-1,-1,774807,-1,929908,-1,448069,91940,-1,770532,-1,298575,-1,841344,-1,844089,-1,629696,659224,-1,506389,192952,47848,-1,-1,-1,90885,405791,377788,688343,987489,-1,142747,315531,378040,-1,740934,-1,-1,-1,-1,-1,-1,-1,472093,473412,246456,-1,531634,340329,-1,404436,204375,-1,-1,295357,457465,-1,-1,-1,-1,159490,-1,-1,445704,-1,240696,-1,598797,350560,992935,398631,298759,-1,3047,876090,351566,768188,315782,-1,877844,-1,-1,-1,-1,587895,25418,148250,-1,448692,21568,733653,-1,-1,555896,-1,219213,403588,719686,718326,919259,-1,-1,-1,173540,-1,-1,-1,791629,-1,378654,742815,-1,-1,34162,-1,639854,938597,148360,933106,367759,414390,-1,379916,470902,-1,362770,-1,182634,520883,81802,-1,-1,-1,331393,-1,16478,-1,-1,-1,-1,620203,923521,162743,-1,-1,18247,-1,206392,-1,-1,113757,-1,-1,-1,822223,774777,-1,-1,864888,-1,539689,-1,352616,-1,891552,289742,-1,507157,967958,-1,-1,64189,-1,435005,-1,-1,-1,165337,537612,-1,-1,-1,-1,-1,246759,402990,-1,-1,237432,-1,-1,726183,-1,-1,903034,851263,-1,-1,76356,335749,103511,-1,614046,-1,-1,-1,711980,-1,-1,245138,900777,-1,353442,-1,204031,394991,-1,-1,552925,608749,404764,-1,-1,-1,-1,932686,-1,-1,661728,-1,-1,404139,-1,634841,156344,-1,288626,-1,-1,-1,360128,301240,-1,810232,423996,-1,82495,323098,711536,-1,960491,-1,-1,-1,-1,185776,385090,103308,138831,-1,908691,762358,141136,475388,-1,763728,-1,-1,854996,188602,918549,67471,-1,550475,-1,-1,-1,-1,192079,-1,21852,-1,-1,-1,657752,459984,489905,-1,-1,-1,17955,-1,-1,890954,-1,299388,222825,879247,157023,-1,-1,-1,-1,627683,-1,-1,210385,-1,702690,250759,-1,-1,317802,814136,914927,-1,838423,352244,859524,688847,651754,-1,783078,576938,546846,-1,-1,-1,45986,-1,-1,428826,-1,204666,-1,-1,-1,-1,288609,-1,-1,542408,-1,437160,20824,715367,-1,-1,-1,-1,-1,-1,-1,705503,-1,512904,-1,-1,-1,917899,-1,889605,-1,152075,-1,155913,665292,-1,853007,-1,-1,-1,-1,-1,73793,243943,617381,-1,-1,-1,-1,377180,-1,-1,-1,768936,-1,261780,25317,-1,673041,165095,675342,-1,-1,-1,346286,688660,843522,981167,803089,-1,-1,-1,-1,-1,150630,480469,440403,689797,-1,287041,925329,343994,325867,612961,-1,251789,648385,82797,940502,874494,-1,613278,795586,-1,-1,460870,820335,322620,137962,-1,-1,54872,433582,751959,-1,324652,-1,984458,593384,965821,-1,-1,240196,181608,350421,-1,668603,149724,-1,-1,419231,-1,-1,-1,833357,-1,461214,837540,-1,-1,325891,-1,-1,452840,-1,-1,297204,431841,484636,449032,-1,-1,659368,454356,206980,-1,-1,970548,159362,623960,415611,213277,650258,202577,987392,-1,-1,-1,-1,-1,-1,-1,-1,735336,269086,-1,-1,57001,-1,-1,-1,112121,944990,-1,-1,501653,-1,411581,-1,669333,-1,-1,-1,547019,738894,-1,-1,-1,389093,-1,-1,970848,-1,-1,89790,852469,982085,-1,371296,-1,230225,-1,800922,523497,801301,683090,124812,-1,-1,217537,870207,-1,810268,-1,-1,961760,41557,-1,113712,-1,540079,363023,-1,-1,-1,-1,774796,-1,-1,864473,-1,-1,576138,952871,804657,-1,945064,-1,847008,478784,404682,-1,786079,597059,-1,-1,-1,-1,645049,568052,-1,454175,401044,793425,681706,-1,-1,-1,-1,611382,561612,-1,-1,-1,740223,494564,690287,-1,716252,351111,-1,-1,160987,587382,-1,106746,920403,-1,969495,-1,-1,-1,916500,-1,-1,-1,-1,804926,104877,-1,-1,189301,-1,-1,-1,-1,-1,-1,-1,372116,112208,122309,818069,-1,295634,-1,489745,-1,-1,-1,-1,-1,-1,-1,204745,-1,-1,-1,-1,-1,873797,997611,225452,672747,612833,865418,-1,779568,-1,691179,-1,946096,-1,703351,-1,-1,588658,838455,595745,-1,-1,-1,-1,111898,329466,-1,-1,101734,820531,604174,334360,691833,-1,-1,-1,-1,745535,992982,600199,355546,532927,-1,-1,887591,556634,-1,280291,-1,401333,270869,971094,-1,-1,-1,890655,-1,-1,-1,964328,301024,-1,-1,-1,608817,-1,-1,13769,-1,-1,-1,906693,-1,-1,29917,893665,-1,-1,52039,-1,688537,815288,-1,596358,-1,-1,18641,-1,-1,-1,-1,514566,311949,-1,-1,-1,-1,985234,-1,252747,366265,-1,165584,584401,-1,-1,196664,-1,203166,-1,609298,-1,-1,-1,-1,347275,-1,-1,-1,-1,-1,182899,165037,-1,143983,-1,941548,811995,628871,-1,-1,559463,-1,-1,-1,322435,376597,10135,-1,-1,562820,564775,-1,44164,290118,734438,-1,201249,3810,68191,590794,989290,751900,668017,554188,480406,164661,562065,252418,-1,272595,38532,-1,-1,-1,-1,-1,166063,-1,925364,869135,894409,-1,-1,-1,-1,880978,-1,434831,-1,771579,-1,439294,-1,489847,564983,381590,-1,-1,-1,753849,-1,20372,171969,-1,-1,-1,-1,-1,-1,-1,540273,-1,-1,-1,361587,-1,34393,-1,585966,-1,-1,-1,475361,-1,-1,-1,566144,57240,664041,518183,-1,977900,507939,-1,79325,-1,-1,122770,-1,183659,316205,-1,873586,632711,515097,-1,863313,82,196931,962940,303760,-1,280405,-1,484693,-1,676935,535565,77550,880797,-1,-1,832230,769885,-1,996208,187661,248652,182029,437272,-1,678188,605607,126392,87187,-1,-1,-1,-1,-1,499724,-1,349086,-1,265921,-1,580970,-1,-1,-1,-1,-1,481639,652340,-1,812073,134932,170557,294674,-1,-1,800000,113486,604361,-1,812980,-1,-1,-1,-1,-1,288599,17083,123184,987712,928940,-1,159410,-1,657009,-1,112708,549251,707936,485549,959751,376787,384522,462673,-1,693971,161172,-1,-1,911844,-1,-1,412007,784958,447378,112140,-1,396498,934103,-1,-1,-1,-1,58739,886453,244477,673446,506752,-1,297436,65767,783929,-1,-1,96261,-1,571817,289455,-1,-1,298237,239621,514452,-1,-1,186306,-1,997802,-1,364878,-1,-1,451607,-1,409172,-1,-1,337424,-1,-1,-1,404961,-1,-1,-1,-1,479139,459451,126420,-1,-1,137233,129612,-1,-1,-1,156580,564617,-1,-1,-1,767604,82587,-1,721423,-1,-1,-1,673334,355740,-1,-1,-1,224529,616319,611438,719181,895397,-1,-1,325416,956272,519194,-1,-1,646696,-1,176224,455883,-1,-1,988060,896055,-1,-1,941488,17471,-1,343346,-1,899702,641962,-1,31420,-1,779632,-1,22206,-1,338674,688034,-1,-1,-1,43697,859441,792581,-1,434107,204254,-1,842601,661076,909386,531040,-1,-1,-1,73428,200793,-1,-1,554460,92738,-1,-1,744629,243822,-1,-1,275865,-1,197329,496674,-1,565812,925611,770820,-1,-1,196016,-1,-1,425495,146001,980300,548230,826433,-1,-1,-1,-1,881011,-1,616849,874002,-1,529348,-1,-1,-1,-1,416302,-1,424892,-1,-1,726877,-1,925901,-1,-1,-1,562561,-1,-1,-1,266843,442185,964015,240418,-1,-1,-1,-1,-1,136552,769231,621952,-1,7487,-1,-1,372819,-1,578390,-1,-1,-1,447891,-1,691272,-1,-1,908058,731940,-1,-1,-1,780643,900115,582541,643031,954899,-1,229782,284783,-1,-1,425629,-1,49247,319106,-1,-1,-1,-1,148013,-1,479045,689164,990836,952826,920388,350408,835291,-1,432754,730348,712956,-1,221357,-1,-1,547845,-1,410500,910659,64557,-1,-1,-1,60248,541478,553336,-1,318701,484686,97476,-1,-1,-1,745154,313571,963046,836096,133475,-1,763549,763954,-1,-1,-1,549511,-1,-1,-1,-1,-1,-1,-1,-1,-1,618512,-1,155223,738703,-1,794045,-1,404592,828484,38801,116227,-1,952670,-1,542003,215582,939940,-1,800835,-1,-1,-1,639457,528098,296169,-1,-1,-1,-1,-1,-1,-1,-1,82686,-1,-1,-1,-1,86792,-1,771927,-1,-1,-1,434641,650807,-1,-1,-1,542474,234981,-1,-1,734714,557663,63417,-1,720180,-1,-1,-1,-1,-1,991523,-1,-1,-1,645429,-1,16162,-1,-1,-1,-1,-1,975272,-1,-1,227894,854300,-1,-1,617498,182643,-1,-1,-1,679376,-1,378195,454639,976399,444048,697575,-1,-1,860314,-1,503519,857133,621222,-1,-1,338569,-1,-1,-1,-1,955021,-1,448253,434291,-1,-1,160416,536637,598679,733452,740650,793719,353642,642808,-1,-1,-1,-1,-1,-1,522234,695612,210766,-1,212546,-1,-1,-1,13467,517632,550384,396135,-1,-1,-1,733384,-1,486386,321410,-1,374143,-1,534789,-1,-1,-1,293832,222473,-1,-1,47807,294812,5514,-1,-1,-1,-1,-1,-1,10221,37277,216279,770226,477028,-1,-1,671027,-1,-1,-1,636549,102135,361328,197456,-1,-1,-1,-1,995227,-1,320448,399101,-1,-1,412800,-1,847109,-1,-1,735876,404919,-1,474421,-1,658292,504421,-1,684345,463218,-1,163562,492853,877165,166453,626491,-1,-1,942082,561256,-1,-1,-1,-1,69397,-1,99303,866949,191178,292676,501596,-1,143262,927463,516779,73492,299938,789860,805762,-1,-1,-1,233864,307548,539300,958840,295636,-1,304606,670651,-1,-1,834946,422166,808177,-1,-1,-1,-1,429228,197610,682317,93878,741794,-1,595133,52678,555089,283756,-1,-1,-1,-1,-1,-1,-1,764394,636117,354934,-1,283578,-1,424978,-1,-1,147166,539100,195665,-1,889835,-1,-1,139832,-1,207442,-1,24207,-1,973482,-1,-1,-1,-1,840171,581085,425117,839493,-1,-1,144594,612309,-1,-1,-1,730292,-1,-1,293405,323003,228053,794431,-1,808062,-1,219692,616088,683578,-1,-1,-1,-1,-1,-1,-1,949772,-1,-1,-1,900399,-1,839080,-1,420868,854557,815569,516299,-1,346759,112743,-1,18653,-1,-1,-1,-1,837978,-1,131647,323083,836679,-1,-1,-1,-1,-1,-1,939306,696410,-1,-1,767004,630084,363408,-1,112048,768610,-1,579538,-1,998120,341840,611567,625095,673106,-1,206449,912371,866877,899869,-1,-1,-1,46517,313581,-1,93682,-1,-1,847660,745,-1,-1,695257,118430,294128,-1,645882,988818,-1,-1,-1,-1,832484,494077,184967,-1,551533,-1,-1,657237,84917,-1,142411,-1,403964,-1,187187,-1,-1,217357,-1,950627,926024,691713,-1,146137,433758,-1,859502,288776,-1,295549,-1,-1,833799,32490,792435,292286,964022,324844,-1,-1,-1,-1,256183,-1,-1,977532,-1,988889,563395,-1,289077,-1,-1,649462,223754,-1,503204,-1,122863,443660,-1,-1,137500,-1,957955,840551,55459,-1,923850,589374,54474,-1,-1,429536,-1,354701,587079,-1,858849,336263,-1,18269,-1,114368,90732,224702,-1,-1,-1,381770,324165,-1,-1,49851,262365,-1,-1,-1,185682,-1,-1,473642,-1,-1,-1,136696,920908,-1,-1,-1,881663,-1,-1,319117,-1,-1,881434,47749,186463,49534,-1,-1,-1,-1,-1,-1,-1,184531,778839,-1,340241,-1,802031,-1,132419,191595,283556,179606,-1,333135,141066,-1,907544,807015,748975,-1,74694,-1,925132,-1,789230,-1,-1,-1,521893,73572,-1,354483,-1,-1,-1,197467,-1,-1,-1,801794,709036,-1,40878,891483,-1,-1,213734,97813,450316,-1,-1,539789,979873,-1,-1,-1,-1,95921,-1,607969,-1,-1,-1,272679,-1,803879,270734,-1,979634,-1,642464,422952,664495,-1,944922,382285,-1,27062,74244,5342,-1,-1,775399,-1,700188,545780,-1,14114,178583,945336,-1,559706,535693,-1,-1,505091,410760,105275,-1,858269,700672,-1,-1,409332,20219,761423,493702,965856,462307,-1,-1,561063,498828,145900,-1,-1,823903,768643,-1,584647,-1,-1,-1,696745,-1,578535,548617,-1,789066,650253,-1,-1,-1,-1,-1,-1,-1,-1,240143,768519,-1,-1,702022,-1,-1,-1,62757,652339,535112,-1,-1,801905,-1,42263,315832,659708,-1,620980,862924,-1,409771,-1,-1,-1,-1,950393,512736,228151,-1,855449,328402,355291,-1,730538,215471,-1,505978,-1,-1,942469,405397,-1,135729,-1,-1,515613,144576,832962,-1,957040,953076,-1,159191,-1,480694,473276,-1,-1,-1,-1,-1,768642,-1,-1,-1,208038,-1,332465,998850,968941,825872,186494,-1,-1,781277,20089,760697,-1,837646,943967,-1,-1,945214,-1,401765,-1,-1,527054,519529,859767,-1,-1,-1,900084,680347,530713,152983,-1,957846,809219,454931,-1,678881,158962,90009,648844,-1,-1,190223,-1,-1,-1,354441,-1,571664,-1,107399,-1,-1,-1,-1,-1,697834,-1,558963,72786,-1,922576,-1,929268,-1,-1,642180,305525,500888,-1,-1,86924,-1,159639,198000,695288,189979,872996,458724,964941,538853,8743,665382,-1,-1,-1,236754,-1,-1,42579,249424,61751,14223,-1,-1,-1,464414,489274,439340,474526,754173,270268,824237,997845,-1,-1,473118,32714,-1,-1,946454,513094,128193,-1,841001,849525,-1,-1,-1,-1,-1,249711,498384,477570,603580,866958,-1,-1,-1,-1,409526,326450,801500,455084,353708,987768,832565,-1,-1,-1,-1,-1,431891,400367,-1,-1,578317,-1,-1,370479,34146,-1,-1,738580,-1,-1,174871,444854,-1,968132,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,816579,-1,763723,100482,720554,-1,545956,208171,-1,429029,-1,-1,88909,745896,867926,-1,263722,205471,33846,-1,541057,-1,-1,408677,297917,-1,978986,251631,-1,773982,338552,-1,-1,42016,-1,23170,713420,-1,-1,-1,722225,496897,-1,-1,-1,-1,788036,841392,98111,686681,-1,38243,887093,-1,890706,976889,-1,851066,718104,-1,-1,-1,893867,-1,-1,-1,420740,-1,-1,429578,-1,-1,216928,-1,-1,-1,443166,267515,100129,-1,-1,888003,844575,219138,401356,91663,-1,-1,-1,-1,413251,806712,671585,772599,886835,921802,-1,-1,-1,-1,-1,401867,-1,-1,247138,78595,252836,727056,-1,408838,214033,539138,-1,364125,593702,270671,-1,887393,-1,-1,337104,39928,793937,-1,39974,740322,-1,766634,-1,313718,258787,869831,-1,-1,-1,179027,-1,717396,257882,519001,-1,740909,-1,533811,926203,-1,495685,769499,583547,470752,83733,-1,-1,-1,786265,819496,-1,-1,-1,261162,-1,-1,706151,-1,100095,347662,761913,-1,-1,-1,-1,9976,-1,799091,970632,16980,622626,432132,-1,-1,86597,-1,-1,-1,971522,-1,-1,687799,-1,668622,-1,403461,-1,-1,-1,403669,-1,-1,829630,266767,-1,-1,-1,-1,67123,-1,790826,237379,665774,-1,-1,-1,278063,-1,-1,-1,347743,324446,793709,630230,137759,-1,-1,-1,600247,619892,-1,-1,714553,-1,-1,782158,444946,724479,-1,505814,807726,-1,-1,27570,352310,818791,652925,808066,785725,-1,47794,-1,674365,516205,-1,-1,448957,278569,-1,-1,240677,126433,131262,166973,217533,-1,-1,768689,808441,737269,752282,-1,833313,230047,-1,787605,151100,202668,-1,114551,94918,-1,941228,-1,-1,450164,-1,-1,39099,-1,239836,84457,927096,561785,-1,304756,381516,-1,705249,-1,201031,108598,-1,317250,-1,611646,542259,-1,850442,255611,-1,898827,686220,93412,101815,683988,-1,88007,-1,-1,48793,-1,692539,331864,-1,271061,-1,-1,-1,701342,-1,411736,342570,787968,792868,-1,-1,550602,71768,-1,138411,-1,953608,911278,-1,929919,-1,-1,-1,-1,51020,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,793324,-1,-1,606686,-1,-1,-1,-1,801289,-1,-1,167497,-1,838779,155599,-1,-1,-1,574264,-1,-1,183978,772870,449835,554646,182202,514803,19593,-1,614918,435118,-1,-1,-1,-1,873847,-1,724116,391709,-1,949743,392972,692436,553713,-1,65848,436052,408365,-1,484137,208836,829622,-1,567545,378855,-1,810627,-1,876805,65237,868199,544622,-1,-1,-1,560892,-1,88844,488896,-1,716636,-1,665218,-1,240950,-1,-1,-1,925130,751993,-1,397393,824965,-1,-1,846567,-1,914242,652197,947919,-1,-1,-1,27912,324334,-1,945882,95198,836565,-1,367802,-1,829078,36859,813683,-1,-1,515894,445849,-1,-1,752011,-1,9539,916446,-1,160139,-1,527120,-1,737327,250182,-1,471332,-1,295121,-1,264469,429147,836294,-1,-1,-1,435642,870356,325688,-1,196054,576653,427926,-1,-1,-1,185645,-1,-1,780297,24466,-1,30456,250135,-1,509316,-1,-1,-1,685157,-1,684815,-1,-1,908879,521764,-1,703716,-1,544599,-1,-1,956223,291084,20771,639661,-1,804977,-1,833422,528292,195330,-1,397785,592517,575565,-1,506886,-1,126325,-1,832830,746445,318095,331953,-1,587330,89214,948597,903045,223377,678271,-1,-1,-1,-1,-1,-1,-1,756452,-1,-1,-1,-1,303540,-1,543904,551108,543990,70678,249160,505150,-1,271025,-1,265169,664748,-1,322845,-1,-1,-1,-1,-1,402607,898282,-1,-1,-1,66600,199634,-1,-1,72660,661556,-1,897137,-1,287019,-1,-1,-1,170976,-1,-1,102502,529888,54381,961787,-1,-1,955682,809713,61227,850283,702148,-1,-1,611274,992355,466420,192571,-1,761603,-1,43474,-1,-1,974343,-1,-1,88273,361663,-1,-1,-1,-1,469531,84962,-1,-1,964311,-1,-1,894526,-1,-1,-1,-1,280620,-1,257944,56218,744516,-1,428689,104222,600238,-1,33490,629787,-1,971751,664595,622722,-1,-1,-1,-1,181129,122359,-1,-1,391604,-1,536208,-1,47490,-1,-1,401753,-1,-1,-1,132656,-1,-1,-1,-1,66759,43821,-1,371990,-1,-1,-1,255116,-1,58860,-1,962925,167964,655803,-1,580332,-1,-1,276826,-1,-1,-1,-1,165968,-1,762266,-1,-1,-1,247958,994282,-1,176937,-1,151509,-1,-1,-1,-1,897417,850899,-1,-1,-1,-1,559910,554524,-1,-1,295153,-1,-1,839458,-1,-1,891782,-1,472317,-1,-1,366071,-1,-1,804255,-1,956541,-1,-1,-1,-1,-1,-1,180813,-1,959321,-1,-1,-1,-1,-1,-1,-1,-1,-1,285832,879480,-1,-1,-1,-1,10902,-1,683128,971468,-1,-1,942343,-1,600376,-1,946151,765632,124424,-1,-1,797061,-1,-1,-1,-1,954492,-1,-1,-1,-1,579730,420340,719735,162511,-1,290599,159999,958686,965316,974870,-1,838290,-1,425361,-1,-1,586490,503281,-1,798018,39612,-1,-1,-1,76949,-1,-1,488364,362318,-1,629236,-1,512253,-1,895668,-1,879867,-1,176476,-1,407233,-1,-1,-1,-1,157078,-1,-1,460259,-1,495485,138751,-1,-1,213233,-1,-1,-1,544113,-1,306538,303250,269295,-1,877514,4349,-1,-1,-1,827964,-1,-1,158062,7115,-1,797049,-1,790102,490958,-1,459597,773865,-1,-1,-1,-1,918968,-1,-1,769262,679760,412941,-1,-1,-1,575065,254737,-1,-1,352379,646678,943201,521595,115586,985150,960410,-1,108918,685487,-1,421938,137340,515870,266060,276546,70341,-1,43542,300807,-1,-1,309952,-1,767317,161169,-1,-1,65843,793877,-1,206654,776851,916794,537951,-1,-1,-1,812633,234944,107964,-1,-1,767243,914330,-1,-1,828152,-1,-1,814320,-1,12145,901929,-1,194154,303272,-1,-1,224782,280981,698473,-1,825774,-1,-1,151876,572795,149755,-1,-1,229181,-1,-1,-1,-1,-1,-1,155960,272482,-1,281647,397538,951628,-1,-1,-1,245784,490322,286958,445757,-1,-1,-1,158317,101138,-1,-1,-1,-1,517813,-1,-1,-1,-1,188398,-1,-1,467192,51712,-1,-1,27607,-1,312517,-1,-1,62379,-1,-1,65101,186843,61182,133970,2666,-1,615360,363793,517894,366102,-1,794493,-1,-1,-1,925965,-1,13502,590153,856952,723520,-1,-1,-1,-1,2237,-1,217538,925665,-1,-1,-1,219816,503186,-1,-1,80948,-1,-1,303442,-1,254096,398816,-1,-1,-1,331597,559208,-1,-1,-1,335392,-1,-1,267189,-1,-1,-1,713554,101110,-1,507382,186511,-1,-1,-1,-1,538884,444199,-1,732712,79856,403448,-1,-1,914199,182147,-1,551740,937005,-1,-1,-1,-1,-1,-1,179087,56598,725709,16391,-1,277187,102313,537985,-1,927497,628261,196910,-1,-1,-1,66415,-1,496469,-1,705336,-1,306471,412262,-1,237764,-1,-1,-1,251632,999126,642323,-1,-1,-1,846452,-1,130828,-1,-1,784846,742857,910602,-1,976267,896382,-1,171421,-1,750490,-1,-1,868756,402858,-1,-1,-1,-1,-1,-1,-1,-1,240093,411573,866960,-1,641969,544833,-1,345150,-1,-1,834919,699601,309406,-1,189005,-1,912691,-1,742382,76655,-1,254748,-1,-1,347775,442516,-1,-1,-1,63376,-1,550974,-1,-1,-1,-1,659302,-1,-1,-1,-1,286028,105907,-1,-1,663696,108346,-1,-1,567366,-1,-1,-1,196262,-1,970245,-1,562134,327185,-1,231415,-1,-1,437169,-1,581320,-1,-1,116588,-1,-1,-1,212701,-1,221402,-1,-1,301767,36934,-1,557481,658208,-1,380480,467089,117616,-1,706315,63345,-1,-1,689154,288838,873893,-1,-1,213909,-1,816938,10695,768015,-1,-1,-1,-1,-1,-1,104210,580265,-1,-1,147319,495765,-1,893861,776275,-1,5491,-1,-1,-1,-1,122102,-1,461709,-1,-1,228757,-1,-1,729633,-1,382967,116644,-1,-1,7224,-1,-1,-1,-1,408802,-1,-1,846707,483044,746204,-1,49088,-1,-1,-1,-1,-1,69566,-1,16580,785782,553121,382546,403992,983874,971140,-1,562163,-1,-1,-1,537150,-1,-1,374211,-1,548794,678697,-1,155265,516434,415301,-1,537131,46850,-1,-1,386465,751683,871536,510631,-1,279093,406297,-1,-1,913047,737533,737224,-1,-1,-1,830258,-1,-1,48174,853659,408401,852368,369554,578243,62226,289271,-1,-1,188615,-1,-1,855429,910554,-1,534176,-1,-1,396709,799805,7084,-1,29311,562675,37355,-1,-1,855167,742790,839375,554295,-1,991343,7805,-1,-1,-1,-1,466789,512640,-1,945854,-1,930393,764414,-1,-1,521394,-1,-1,-1,-1,473879,261285,-1,-1,789911,855867,418048,-1,843829,-1,-1,886296,-1,-1,-1,777500,-1,747939,278788,681541,-1,-1,-1,-1,-1,823611,-1,769235,884806,643400,-1,679740,-1,-1,84147,816703,46139,236461,-1,-1,255635,-1,-1,340047,-1,756400,-1,935440,478524,188955,-1,-1,404228,971994,589767,316171,-1,529362,-1,37257,575201,52583,98633,685624,-1,769620,-1,209442,-1,535071,-1,791773,163351,-1,-1,-1,-1,-1,-1,-1,-1,793100,83073,281948,-1,831268,821889,28234,120671,-1,623094,-1,-1,-1,309299,-1,450711,95105,-1,608782,316711,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,180194,-1,-1,442823,292421,274227,566302,-1,-1,-1,-1,-1,-1,80638,-1,-1,-1,115285,-1,-1,492654,-1,136655,-1,287588,460790,-1,750795,43725,-1,437784,-1,67877,178856,-1,492688,-1,-1,-1,572578,-1,-1,103603,720482,521005,-1,-1,-1,868717,-1,-1,422734,-1,-1,793160,-1,587802,664628,312271,376467,-1,-1,-1,130078,42498,-1,-1,-1,-1,486474,996937,-1,-1,-1,846609,789342,-1,508774,208221,749398,-1,-1,340684,255842,-1,-1,888640,727841,-1,582906,-1,-1,883925,36679,331996,-1,-1,70612,123363,-1,43523,-1,-1,615342,-1,811269,-1,496623,843339,-1,-1,396166,-1,601619,-1,515724,158463,-1,-1,-1,858788,-1,-1,572156,-1,724718,30936,-1,-1,-1,-1,-1,340547,497187,604155,910733,691908,639105,-1,-1,-1,-1,153172,987243,-1,746854,-1,459493,481506,-1,910455,225158,-1,-1,-1,-1,362299,-1,-1,-1,317903,-1,-1,-1,-1,-1,-1,728933,822152,-1,203600,830453,204508,18324,-1,-1,496946,-1,124025,-1,642836,375405,-1,-1,-1,-1,999184,372091,-1,891172,-1,-1,223882,185855,389162,-1,-1,-1,-1,841667,-1,448995,-1,-1,-1,747744,112379,748018,-1,692460,579157,-1,722031,70034,678061,803753,707144,282881,620329,-1,607450,433494,-1,633600,-1,702820,706267,262176,94689,-1,-1,762871,-1,-1,689056,-1,670392,781129,-1,-1,211962,194379,699042,649362,643435,-1,-1,945089,-1,609978,954227,826012,767715,-1,7290,755027,697389,-1,-1,-1,820691,731117,570887,991384,417673,-1,408014,30397,-1,-1,-1,-1,-1,62061,-1,-1,387165,-1,-1,-1,430924,-1,-1,-1,-1,-1,431451,-1,-1,730085,-1,341713,791408,267645,-1,973329,63927,-1,-1,861918,939310,-1,84732,-1,-1,-1,382291,-1,-1,-1,81905,-1,677741,-1,-1,728288,243637,-1,447322,470403,-1,-1,676662,-1,623796,-1,425098,685615,136186,533964,429057,961897,514927,-1,-1,-1,865247,723523,-1,495232,840068,-1,-1,870552,-1,-1,842158,469958,-1,467341,-1,-1,521961,5797,622357,-1,-1,517754,232242,673516,663478,-1,-1,597859,-1,-1,-1,-1,495162,-1,515629,-1,-1,-1,597166,580977,893110,-1,87216,816116,352623,656099,115292,892362,274270,563212,812017,-1,839291,629677,-1,667232,512884,252696,-1,-1,191997,521584,-1,200314,343320,461728,165923,-1,500914,135813,359196,262245,313929,-1,-1,-1,312559,-1,-1,949560,-1,40359,704795,880803,426808,-1,-1,643431,527378,377566,86741,-1,-1,961489,-1,202250,117406,478328,998409,-1,-1,-1,600444,-1,-1,990640,-1,220514,504904,-1,413206,-1,-1,-1,339602,904500,-1,-1,931030,250643,429053,-1,-1,34195,18066,981458,259939,46320,-1,-1,251204,-1,342964,546075,-1,-1,-1,798231,686209,-1,-1,280342,-1,-1,-1,451029,-1,-1,-1,917600,829473,6187,-1,232350,-1,399100,754153,399161,-1,572259,58714,192040,-1,98978,-1,488749,936817,148905,558280,-1,677842,476053,-1,244229,-1,-1,-1,878081,-1,141377,463116,521926,-1,917102,113057,49910,357496,732100,-1,-1,900506,-1,580269,31872,203267,-1,-1,572265,-1,273730,342602,805923,-1,665588,-1,-1,-1,-1,-1,684925,659539,757140,-1,-1,497067,-1,635563,162742,495524,-1,908025,852489,-1,935041,664015,444432,-1,-1,677807,324728,-1,636458,-1,-1,-1,159983,262542,-1,-1,-1,981490,-1,205465,31621,412351,154173,163723,106240,-1,533318,862592,370503,-1,197841,137023,-1,909709,-1,-1,358114,810587,-1,-1,-1,698839,641535,-1,246732,-1,815449,-1,561699,371844,936149,-1,-1,53172,-1,-1,208612,-1,-1,230518,991255,484490,606555,-1,9236,19310,697167,-1,-1,988240,-1,-1,-1,985054,220627,501073,351692,-1,587507,-1,499646,-1,-1,778335,-1,703734,-1,311088,647733,-1,-1,783150,940898,-1,991142,992611,-1,787300,-1,-1,710419,-1,701317,-1,959529,981529,-1,922483,-1,294230,-1,248596,46287,56022,-1,-1,853240,356523,686954,-1,-1,-1,125769,-1,890357,506962,-1,-1,137588,518142,374600,258566,-1,316644,-1,115669,-1,152135,-1,-1,-1,28379,-1,793722,850906,585985,-1,354553,653614,142300,-1,811343,-1,986670,-1,714683,745823,812375,-1,-1,-1,17482,-1,-1,728067,245409,-1,493772,547001,-1,211951,-1,20560,-1,-1,168580,821643,-1,-1,-1,-1,939470,-1,132151,61765,-1,-1,964687,337456,660949,143229,676265,973845,-1,-1,-1,-1,-1,219988,965527,443624,-1,-1,-1,-1,-1,132126,515100,217522,-1,912707,21293,74785,281508,-1,227489,-1,734212,-1,350392,-1,942919,-1,512573,-1,928798,899185,688759,-1,-1,846413,-1,213068,43141,697882,570434,-1,-1,-1,662743,555144,229675,-1,-1,925780,-1,-1,485768,-1,-1,628820,438678,-1,726218,416993,395363,282358,-1,727271,-1,-1,-1,-1,-1,614037,-1,486317,-1,391066,-1,614562,-1,941495,-1,-1,128657,-1,-1,-1,-1,-1,-1,462422,940737,986268,-1,-1,-1,-1,87845,-1,19260,743042,159181,920292,428834,-1,636352,-1,-1,-1,318250,775303,188614,791953,-1,99074,-1,-1,302867,115757,-1,-1,202939,364706,589309,-1,924451,-1,603162,694785,-1,993027,67613,-1,-1,515259,485117,-1,562578,-1,-1,296913,-1,-1,-1,-1,735725,-1,238736,14490,482043,-1,426429,-1,574362,77374,596383,-1,457152,-1,-1,890960,199381,227424,334051,-1,360616,635199,-1,519392,679992,-1,-1,310794,-1,383055,748124,-1,-1,-1,-1,865301,-1,431582,421610,-1,614899,-1,85415,-1,455998,-1,898521,716798,-1,-1,486676,525844,788037,-1,525383,64743,243003,-1,165122,757285,-1,-1,-1,-1,494112,734726,336137,-1,393835,285814,-1,146340,399685,-1,648592,-1,-1,920351,356791,68398,927641,949188,-1,480675,341262,-1,-1,-1,242481,745564,135585,661846,-1,-1,979765,171388,410892,-1,-1,-1,194546,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,986232,95052,-1,495613,983145,15877,968396,178486,-1,-1,389895,-1,-1,766832,-1,-1,817939,204820,602147,933750,894829,538198,718838,202854,-1,20548,-1,439256,-1,688494,-1,-1,388525,854818,-1,-1,735497,-1,45910,-1,553855,-1,356380,-1,652446,-1,-1,-1,17618,128565,651100,352409,-1,-1,606903,897734,819743,-1,-1,939406,-1,-1,944755,612752,396438,506391,710040,-1,-1,990841,-1,-1,398318,-1,-1,-1,981988,-1,331356,-1,589682,38834,-1,959836,759780,254557,-1,400227,960381,-1,809531,-1,93354,-1,-1,888391,912386,-1,-1,-1,639288,63660,956693,-1,127254,-1,-1,427660,161535,-1,-1,-1,-1,-1,469516,86028,893043,-1,-1,772636,419466,456731,601689,376983,420753,668905,172136,-1,675516,977372,803338,-1,549860,825918,-1,-1,309309,402296,-1,-1,142009,252098,162659,108501,929271,-1,-1,-1,-1,-1,789453,382303,639025,478103,-1,-1,-1,794579,-1,446447,-1,-1,-1,-1,853832,-1,-1,-1,904558,464021,-1,-1,1716,-1,860500,-1,273668,9989,662882,170501,498853,494617,908050,-1,-1,-1,-1,-1,222480,566580,-1,-1,157227,-1,-1,-1,-1,-1,487134,37906,-1,-1,547532,352403,424287,-1,409344,-1,-1,-1,-1,-1,106850,110813,-1,-1,444977,34855,-1,-1,-1,11606,813678,-1,-1,-1,464109,-1,996080,186317,-1,-1,-1,-1,659230,-1,-1,199438,-1,-1,311750,372369,-1,758993,-1,-1,22529,-1,124515,600865,-1,823055,-1,682061,158654,265181,-1,240685,-1,776450,186167,-1,784829,175040,689768,-1,883591,-1,-1,416099,-1,775663,-1,-1,-1,664758,685420,-1,516644,-1,-1,257968,-1,-1,360719,463040,147044,930658,468313,319369,732597,-1,759841,859033,-1,-1,-1,-1,-1,-1,-1,552236,229024,-1,-1,69795,619149,288188,-1,-1,-1,-1,610398,941570,-1,-1,-1,-1,633806,-1,632755,-1,-1,130877,-1,-1,51816,705147,-1,-1,-1,-1,257206,-1,-1,-1,129286,-1,-1,-1,536626,-1,619436,490365,259820,480765,-1,-1,-1,48803,245002,-1,-1,739350,-1,769178,-1,360529,60585,841622,-1,-1,-1,683927,-1,568003,-1,-1,-1,353573,-1,-1,310692,-1,315111,-1,657611,732017,957470,-1,829124,948199,490876,-1,872959,-1,681608,617821,-1,-1,60041,335546,697301,-1,-1,158436,-1,260560,-1,-1,536656,719192,-1,-1,941102,110293,-1,-1,-1,407477,-1,-1,815491,29913,-1,-1,721348,-1,910432,-1,34720,219159,-1,874243,424612,-1,597594,-1,-1,-1,-1,-1,-1,572496,911740,-1,569925,366694,929558,465207,-1,884698,703406,-1,394017,174177,693718,-1,-1,100731,642440,-1,283721,628442,-1,401504,854948,78898,-1,407888,-1,-1,-1,-1,632367,433512,530976,-1,401985,-1,434238,908510,-1,596679,604584,613280,-1,376540,99427,-1,97172,-1,-1,-1,-1,68103,-1,986814,-1,689369,-1,402267,639062,-1,863396,288289,755586,232354,-1,397257,-1,826674,118173,20190,-1,349945,867601,-1,796838,-1,-1,-1,-1,96119,783882,714984,-1,847274,-1,592167,-1,-1,-1,236181,-1,-1,566143,-1,-1,583475,960253,-1,-1,-1,954515,260786,-1,988089,-1,15871,-1,-1,-1,-1,571024,-1,-1,-1,777524,-1,-1,-1,-1,220493,-1,-1,859537,835359,72877,-1,214564,-1,623482,444771,-1,928611,305778,-1,532106,80261,-1,-1,838624,-1,-1,111265,-1,-1,892465,-1,28606,999612,-1,586627,-1,-1,-1,-1,161233,610710,-1,477186,-1,616641,-1,85714,729500,470392,41863,67926,-1,893512,-1,-1,-1,427077,-1,663081,662352,-1,655613,-1,-1,496408,938954,-1,-1,637955,-1,73542,-1,142593,533527,961339,-1,934406,893442,760890,-1,-1,610543,421583,387100,-1,-1,-1,-1,-1,-1,-1,555689,-1,666773,213992,650626,-1,-1,970590,-1,-1,209984,134556,-1,64927,33152,180127,280637,-1,319485,52540,-1,841927,92386,661552,642509,-1,-1,487588,319759,784448,712481,29684,620017,-1,536692,-1,-1,-1,-1,923128,-1,388870,-1,-1,359560,-1,38189,-1,488233,-1,280458,632148,-1,-1,390595,-1,491805,636397,-1,209038,314793,-1,-1,-1,496869,-1,454885,-1,-1,622071,-1,599676,-1,-1,-1,-1,-1,191211,-1,778272,43897,519084,998376,-1,443990,-1,-1,-1,354622,-1,-1,386226,-1,-1,778702,-1,437912,110154,-1,-1,799687,171514,995028,-1,-1,-1,-1,-1,-1,715786,-1,384161,-1,-1,-1,-1,-1,-1,342193,-1,-1,72842,325532,205284,653314,974072,497313,-1,953112,-1,-1,634436,824735,98600,-1,588375,-1,480188,253822,153524,-1,-1,-1,-1,-1,140991,570260,416433,74076,303526,598600,-1,-1,955648,-1,893305,-1,725829,-1,194876,118666,-1,317317,546458,398413,909468,-1,-1,-1,863013,-1,-1,-1,867514,-1,-1,-1,-1,102390,820104,135730,-1,-1,-1,-1,-1,150939,-1,-1,24288,-1,-1,-1,959128,206473,-1,-1,-1,250627,367248,-1,-1,304249,-1,-1,667031,645948,-1,-1,159475,791534,391776,-1,-1,692377,14446,873946,-1,552842,-1,-1,-1,334859,939595,252667,-1,888180,897416,565513,-1,707851,139135,-1,-1,-1,190229,-1,-1,344477,318922,317685,-1,-1,921922,-1,203741,-1,644547,-1,-1,949933,281909,-1,-1,-1,-1,-1,-1,34566,957153,-1,718107,-1,988088,-1,-1,-1,-1,48533,-1,-1,212904,-1,-1,-1,18643,885991,436719,476763,-1,750900,-1,815159,568850,704342,463572,852795,538892,-1,-1,935960,193389,-1,-1,626195,139592,767852,724112,993362,-1,130302,864907,-1,-1,299812,-1,410876,-1,684502,269225,-1,-1,310021,-1,150168,-1,316388,382337,-1,-1,709988,27566,528310,475205,-1,452807,536009,34295,762986,-1,255449,-1,74258,837971,318992,316604,-1,-1,-1,421567,913674,-1,-1,694302,449795,-1,174593,360845,-1,-1,770684,-1,453845,-1,-1,-1,384573,-1,-1,-1,26184,604520,-1,-1,-1,-1,619801,-1,943248,-1,-1,254685,-1,-1,956651,303970,464908,855849,291423,124846,889063,-1,-1,686405,-1,-1,-1,-1,141758,-1,-1,-1,413510,149567,-1,-1,943193,733418,130717,684190,752941,797308,-1,-1,646125,-1,-1,-1,-1,-1,-1,-1,-1,986389,-1,539736,-1,201702,-1,577922,-1,-1,234599,745490,-1,887465,-1,-1,-1,-1,581168,362941,-1,-1,-1,-1,-1,919395,468607,463027,57239,981534,-1,906609,-1,-1,966498,343658,791328,-1,-1,402231,-1,-1,-1,-1,-1,723270,-1,459976,720475,996793,355941,71431,-1,330243,-1,247323,925766,248828,839484,-1,-1,-1,-1,-1,405923,-1,860545,986948,-1,631628,-1,-1,-1,181377,-1,-1,392635,273050,-1,42569,-1,-1,-1,-1,-1,1183,-1,548668,750005,29141,151229,516922,730254,963180,92655,672587,-1,-1,272598,619166,-1,821199,687608,-1,51898,-1,-1,109397,-1,978565,-1,-1,305836,256112,-1,318333,855006,364638,-1,-1,713014,588807,-1,975833,282715,952246,-1,101711,-1,29571,774127,838790,455102,778596,-1,-1,253003,17116,379534,767774,259697,544741,343944,-1,204089,-1,-1,963116,-1,-1,-1,-1,-1,863428,84123,328238,386949,-1,-1,-1,422530,-1,-1,944445,-1,-1,233336,170339,-1,344204,-1,911983,719736,676456,453017,-1,-1,226970,-1,-1,-1,768496,-1,-1,841437,194677,575441,507055,-1,-1,914356,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,497631,724408,-1,-1,170572,612435,922398,-1,-1,-1,-1,322987,450613,-1,-1,50561,736574,271432,-1,792261,647623,-1,-1,327910,-1,-1,927727,-1,-1,-1,-1,-1,-1,884975,-1,-1,-1,132158,303495,-1,253697,173377,845612,741355,-1,711470,-1,43500,963130,-1,-1,-1,-1,915866,-1,49597,-1,512572,-1,-1,901904,201559,-1,86399,-1,225285,369866,-1,447184,12707,78257,956903,-1,318368,44738,772018,-1,189247,-1,149684,187898,526217,-1,698621,124786,-1,-1,195235,427219,523789,483254,-1,-1,-1,779061,269520,748250,856773,-1,-1,-1,83695,-1,33139,-1,749230,-1,-1,739428,58265,-1,-1,-1,944302,-1,-1,-1,675822,-1,24186,336599,525284,-1,-1,-1,-1,-1,-1,-1,73837,328761,-1,351671,337878,497746,-1,-1,-1,-1,-1,-1,977467,-1,589010,868832,-1,475064,833243,459230,587199,-1,54976,691792,528305,-1,904876,-1,654825,-1,58670,796346,425133,321039,340049,729937,-1,-1,554462,31924,-1,993501,-1,260231,-1,685951,175575,369152,261152,986804,660206,-1,-1,149173,-1,739068,174109,-1,746039,-1,-1,-1,772087,357493,-1,12481,849638,312265,-1,178070,-1,-1,250488,563658,729361,-1,-1,-1,490360,898212,-1,514343,456719,637723,-1,-1,16257,-1,-1,-1,-1,-1,-1,74787,-1,-1,101723,522019,-1,-1,-1,905426,-1,52610,726264,-1,-1,540868,-1,-1,57455,577091,390756,532173,809236,791054,-1,146005,-1,-1,910146,367473,-1,598472,931423,879274,-1,-1,-1,99164,-1,66176,987620,955332,-1,999412,15647,908875,765041,-1,-1,-1,-1,-1,980372,873470,158351,-1,392052,914053,-1,43893,714078,435058,781126,-1,-1,-1,100232,827455,-1,-1,-1,690796,109889,-1,-1,-1,750730,-1,137098,-1,-1,-1,926712,26513,-1,-1,-1,-1,461170,-1,468486,701387,-1,-1,774815,-1,-1,635430,375661,798396,916743,670063,-1,202429,-1,905591,42323,441913,939734,-1,-1,815533,665549,517697,757797,869740,364100,-1,444859,291655,-1,725759,780987,-1,602017,-1,786635,-1,581500,220670,539424,379038,940282,634454,910219,537476,-1,745366,161058,-1,685055,-1,717597,-1,871683,-1,637752,433906,-1,336352,-1,917811,-1,408492,-1,-1,-1,649420,510958,210428,-1,233834,310320,-1,630623,384314,-1,952486,29418,840725,785011,-1,-1,-1,973005,316390,-1,916358,-1,-1,298259,974063,386166,-1,-1,117650,664835,-1,253755,579707,974210,266412,291672,747780,-1,62658,148906,137344,712024,-1,-1,632049,-1,748877,624967,715463,649371,-1,467315,-1,91880,671183,-1,56568,-1,393603,682816,-1,624645,993145,962922,-1,-1,-1,-1,482957,-1,-1,-1,863489,533621,572513,-1,87697,-1,-1,473927,-1,-1,-1,479231,-1,85167,409626,668435,-1,681070,74283,-1,-1,163302,-1,445330,-1,-1,-1,-1,255213,-1,301476,-1,-1,783168,760213,527940,97247,10175,132519,254624,454724,-1,279408,325637,298956,-1,736778,420683,-1,542882,-1,-1,707833,-1,255069,42690,925469,115030,-1,-1,712021,-1,87320,564929,-1,586009,200830,-1,730894,642355,318546,-1,182915,508876,918186,755320,903254,-1,799478,200767,310328,-1,26549,-1,173306,731424,-1,800576,473466,748217,-1,235372,-1,-1,303849,901113,971506,847612,480129,236276,690886,484015,-1,577042,-1,-1,369557,307080,-1,-1,-1,168020,512458,-1,-1,359463,-1,-1,-1,490311,462981,719951,-1,881261,388364,-1,648742,-1,709966,-1,20110,486256,-1,448066,164178,-1,-1,98313,-1,-1,99719,306249,904559,-1,-1,-1,-1,-1,997905,-1,-1,-1,652501,387721,-1,609814,907339,711041,210290,66104,-1,3511,-1,534338,57416,207814,153775,181614,647913,-1,-1,-1,541160,477023,-1,-1,-1,497840,-1,-1,850349,-1,-1,687961,130582,185104,307301,-1,-1,-1,-1,-1,-1,-1,-1,-1,914029,359791,-1,676586,-1,-1,-1,998011,-1,776266,-1,909154,911810,-1,633486,-1,-1,-1,602083,-1,619778,981551,-1,-1,177140,286037,-1,598705,373436,-1,815272,700229,-1,-1,-1,915981,718090,88719,169199,-1,-1,373067,-1,-1,-1,-1,931218,312951,-1,401397,842843,780876,-1,502526,529564,311316,-1,-1,853529,657071,-1,-1,196126,1002,455196,-1,-1,359874,467491,545350,-1,-1,-1,510331,528817,540768,66204,-1,-1,163505,92545,-1,125123,-1,402647,50871,558537,-1,555980,-1,-1,77299,691294,-1,34850,-1,-1,-1,128691,252248,605014,-1,-1,503309,15582,373962,-1,-1,61903,491735,-1,-1,-1,310131,753912,362911,93128,603017,-1,-1,-1,869576,-1,-1,248473,714754,-1,-1,-1,51463,156377,-1,219518,-1,219476,883723,223953,213372,369020,239443,-1,-1,-1,-1,5025,-1,532657,-1,-1,-1,-1,161735,182665,-1,-1,131955,256131,402895,-1,685183,138714,349464,203500,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,233808,844962,-1,-1,342664,-1,-1,-1,377426,242471,880456,-1,-1,-1,60601,377463,788234,-1,581983,-1,-1,-1,-1,356971,936919,-1,-1,299936,-1,-1,-1,542175,752425,-1,-1,-1,-1,670485,495224,-1,159885,-1,-1,870013,846662,-1,-1,-1,949085,-1,341587,553634,502510,92388,-1,-1,-1,852548,459400,-1,804407,417382,-1,-1,616371,403420,598799,381483,253994,-1,499674,333574,-1,614080,-1,6040,646109,508660,-1,22434,261575,-1,-1,-1,-1,312319,134174,621214,693579,-1,544929,463837,-1,-1,268047,559301,-1,432098,815710,-1,-1,-1,-1,-1,-1,220707,-1,-1,-1,-1,-1,102242,-1,491211,686213,-1,-1,-1,869041,-1,-1,451767,-1,523431,145848,756496,-1,760677,701167,459777,303740,-1,-1,438320,201073,-1,21285,132681,145467,687782,-1,-1,-1,732586,832341,-1,902723,-1,916690,-1,357644,-1,-1,444357,-1,-1,-1,700627,-1,72618,637126,818110,922015,-1,-1,-1,424024,339588,-1,129015,913127,-1,-1,-1,-1,-1,691515,193940,464258,139968,532001,-1,374342,890468,615566,872562,-1,-1,256178,-1,53569,-1,530930,-1,296260,60849,-1,313193,788476,510191,315038,610671,-1,-1,25914,111572,-1,-1,-1,969307,-1,-1,486940,896141,596290,934441,-1,262133,171859,224527,-1,237208,313112,229114,-1,928890,533300,-1,768367,666251,47524,-1,-1,93805,615847,773595,729086,-1,201048,-1,268501,562003,-1,952769,-1,-1,-1,-1,380737,-1,-1,-1,-1,-1,850926,445088,163288,600047,-1,-1,329840,-1,799156,296060,-1,596565,298180,-1,-1,-1,-1,-1,852611,927913,952869,933160,-1,795996,209021,-1,-1,484923,-1,-1,893048,-1,868872,178654,-1,-1,-1,597141,112809,197557,833658,-1,-1,438866,416529,228081,-1,-1,715239,423611,-1,-1,-1,-1,-1,676358,-1,808383,878796,752792,-1,740075,378429,905212,758586,-1,-1,-1,-1,347098,787080,-1,713566,327791,751121,-1,-1,617956,-1,-1,455976,386850,-1,265333,789182,-1,-1,238405,687726,-1,-1,-1,462774,529293,-1,-1,589820,20994,-1,738847,-1,155179,-1,-1,-1,-1,-1,-1,-1,-1,859426,-1,-1,728607,472942,-1,487527,548493,-1,873385,97701,-1,-1,-1,-1,294380,-1,-1,-1,-1,454105,-1,371039,-1,78059,578335,511547,-1,465164,185985,-1,-1,923023,449827,678548,-1,-1,-1,-1,-1,386549,-1,67278,-1,-1,-1,987786,-1,389827,-1,258963,-1,-1,-1,-1,594761,373870,-1,-1,408639,-1,-1,-1,328199,565532,-1,426803,249076,-1,-1,-1,-1,206890,618598,882877,531238,-1,-1,437188,585457,569028,-1,-1,-1,661425,-1,942493,-1,576067,-1,-1,-1,-1,33488,-1,762932,898650,87482,444164,-1,914974,-1,962335,400203,-1,774142,-1,-1,84953,654660,-1,-1,-1,-1,-1,-1,-1,62592,-1,878700,-1,181045,-1,-1,755109,-1,728072,391674,-1,572217,115481,518415,903651,-1,380761,457845,107957,-1,170210,195247,-1,394294,288667,198784,-1,-1,-1,240518,-1,954485,785010,874135,-1,592350,98065,-1,-1,535794,57035,-1,-1,334826,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,346015,-1,-1,-1,-1,-1,861242,238753,-1,943807,852153,447778,-1,-1,-1,-1,-1,-1,796162,49172,436493,336653,45747,792276,695797,-1,-1,-1,-1,916298,-1,-1,-1,-1,607699,858232,-1,86311,-1,459978,234128,476272,-1,324223,13628,158160,-1,955711,204116,-1,-1,265165,-1,900327,-1,696097,-1,826504,-1,311504,668087,327046,-1,-1,-1,471648,770069,-1,526295,-1,544372,482010,-1,730938,49465,460735,138824,-1,-1,-1,16422,388885,-1,602087,-1,929511,360834,44602,-1,709762,935620,-1,577881,197796,-1,335100,-1,-1,120754,125678,-1,-1,-1,-1,205732,-1,-1,-1,-1,-1,-1,603312,-1,-1,477240,-1,64812,-1,730435,-1,534541,45453,11375,-1,-1,-1,403055,-1,920205,21755,-1,138151,-1,780985,76615,562668,224902,-1,863383,623592,474059,893690,616879,-1,-1,678823,376912,11563,-1,-1,72491,-1,262406,-1,311012,-1,-1,134508,-1,-1,160536,-1,134584,409761,-1,-1,446385,-1,-1,959387,-1,-1,52953,-1,-1,-1,555231,185601,-1,-1,-1,626918,-1,-1,-1,706054,203371,953129,-1,476069,58973,235017,144258,479979,753952,-1,479788,-1,-1,-1,-1,-1,-1,-1,466586,145399,277951,-1,649685,-1,-1,-1,84597,-1,651519,-1,106218,-1,946740,769935,-1,800318,-1,590461,111611,-1,837793,-1,-1,-1,-1,-1,250623,-1,739885,-1,-1,185149,378517,343250,354285,869278,743030,-1,94982,-1,199652,-1,-1,716304,-1,792378,2291,-1,-1,135721,282162,-1,1936,418982,-1,-1,-1,-1,-1,-1,-1,-1,-1,485676,853802,-1,182949,-1,303017,705231,980172,-1,-1,457040,109908,693739,193079,693092,359492,-1,-1,834505,-1,-1,744170,554976,-1,829155,-1,-1,604296,-1,298550,-1,-1,-1,-1,-1,-1,-1,80218,-1,-1,807183,877580,310710,25880,-1,77803,-1,975356,-1,-1,-1,868286,-1,409894,143088,-1,-1,158101,-1,956012,665753,-1,194639,-1,-1,-1,21588,13945,188179,38776,-1,-1,-1,223037,-1,430994,971846,-1,160228,-1,356477,-1,-1,-1,-1,622063,16652,993295,775171,206067,949756,282331,73751,550933,173503,81734,-1,604715,441603,-1,724887,-1,983039,879215,623594,-1,864518,-1,147675,358214,677832,629439,719021,802478,269872,362907,607206,-1,-1,-1,292220,141857,370097,-1,932654,-1,-1,-1,25949,836002,-1,-1,-1,983562,-1,-1,33589,742338,-1,152789,-1,-1,830568,-1,699618,546439,-1,911438,189109,-1,-1,-1,-1,195017,-1,400004,816424,-1,479921,-1,645085,626659,231042,-1,352884,456396,-1,781936,-1,-1,162183,132883,988361,-1,-1,399262,421514,349423,67788,686881,885313,415422,-1,-1,-1,26878,-1,-1,292563,-1,-1,771154,-1,-1,-1,-1,-1,-1,183503,298265,124032,-1,147962,434193,-1,860618,-1,36351,-1,778770,44191,-1,-1,608465,333738,381293,-1,-1,-1,939261,870048,-1,-1,32501,900524,125985,475687,-1,101776,-1,-1,533884,244655,992646,-1,-1,727110,704757,600641,51837,719922,789383,-1,118359,-1,338819,-1,-1,286795,-1,-1,224256,-1,857453,-1,-1,-1,-1,569677,-1,-1,-1,885220,556337,48470,609951,718381,-1,666845,-1,683618,-1,568348,586846,-1,-1,11276,-1,472003,504214,-1,217421,967247,-1,-1,978796,-1,-1,-1,425859,-1,638023,23367,-1,581125,-1,925683,-1,812584,461204,599021,-1,702213,-1,16937,930428,198407,469125,-1,787811,-1,-1,-1,-1,112364,-1,452765,-1,-1,115570,654959,739670,396601,-1,-1,543850,-1,241699,-1,318672,-1,-1,-1,619250,-1,445293,735138,-1,-1,28107,648896,67576,279207,-1,56831,-1,-1,-1,-1,-1,909649,-1,-1,-1,-1,432642,488982,-1,-1,765502,683785,646370,117811,951067,441235,-1,-1,787488,76136,617209,627046,863704,611076,227730,-1,-1,-1,-1,-1,-1,440518,-1,121765,-1,926194,-1,-1,841536,-1,-1,76480,787969,433768,743283,-1,104784,-1,900258,-1,-1,368684,-1,-1,34050,433227,448486,-1,473558,-1,488504,-1,42058,-1,722787,654881,489914,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,755221,842753,-1,695554,-1,-1,-1,648619,838106,-1,973205,912613,-1,168123,183871,-1,109915,-1,-1,-1,-1,-1,288678,745152,496049,102301,814705,-1,-1,68734,-1,620925,752099,861096,-1,765895,-1,687704,66112,249382,-1,-1,488691,979232,-1,608900,558887,-1,71178,183665,113206,341074,-1,-1,-1,-1,-1,338414,355573,-1,544793,331114,386213,-1,-1,980823,206866,298920,-1,386433,711874,-1,-1,-1,-1,-1,744966,-1,281795,-1,-1,774458,-1,694031,-1,304550,-1,648190,633850,-1,328458,84023,241776,-1,-1,-1,-1,314701,684311,677660,607901,-1,-1,130393,366024,600720,-1,-1,499074,122028,-1,915367,-1,367480,-1,289316,249411,-1,831858,509236,395982,-1,-1,427465,736139,925928,-1,426475,-1,-1,-1,267942,-1,-1,835025,-1,-1,-1,764956,106696,-1,138733,901974,548497,-1,-1,-1,236418,-1,-1,117913,-1,-1,135065,196183,-1,15733,690063,459794,485673,-1,-1,-1,-1,-1,-1,134579,254927,-1,138605,943459,531247,290630,83220,-1,-1,368204,-1,-1,866953,777696,558801,-1,-1,228,-1,623043,-1,142098,-1,662015,-1,926468,-1,-1,134611,316642,-1,-1,126616,-1,-1,-1,-1,426433,-1,-1,575931,-1,-1,478704,-1,-1,-1,214795,-1,-1,941759,-1,-1,233288,-1,-1,-1,115094,-1,734225,56078,-1,965023,-1,-1,3488,-1,-1,-1,217874,-1,558690,394153,-1,736846,-1,854966,-1,850731,70261,-1,-1,484930,621306,529464,-1,762425,408265,690074,-1,-1,715606,690029,-1,30535,-1,-1,-1,-1,-1,-1,851114,-1,999041,-1,-1,-1,-1,-1,-1,-1,-1,-1,754646,-1,-1,-1,857993,441021,711445,931046,-1,-1,-1,-1,784275,418314,773767,716173,-1,986261,-1,-1,-1,-1,-1,-1,-1,-1,82777,-1,-1,781034,682979,-1,684958,-1,988628,-1,376348,631525,-1,-1,-1,95186,855885,681302,692683,-1,-1,-1,770578,9898,29233,670195,884349,291072,781421,-1,-1,309965,-1,23302,-1,644901,879931,-1,588121,-1,285926,-1,-1,-1,241456,41869,773024,-1,353647,-1,465323,-1,-1,-1,472005,119430,361614,268726,-1,291242,-1,914085,-1,-1,342736,483617,898118,695073,837573,-1,566105,-1,-1,-1,-1,134072,327837,694885,505792,-1,-1,-1,-1,147860,947751,-1,-1,-1,110095,-1,-1,-1,-1,-1,776457,-1,-1,875395,231023,-1,164989,978788,809066,-1,229548,336715,-1,541099,-1,87537,707433,897311,-1,-1,-1,305652,-1,-1,-1,-1,-1,-1,878524,953401,-1,244558,-1,-1,-1,722010,469741,-1,802239,-1,847661,-1,272793,-1,96213,854244,-1,117172,-1,-1,605521,993633,41154,655161,394917,-1,-1,404741,-1,-1,164779,379616,766746,-1,87298,-1,767385,926263,889941,197781,532715,-1,-1,778415,288377,-1,715552,553570,664561,741401,941637,-1,-1,-1,-1,16171,-1,703752,302917,428590,179508,-1,-1,-1,440610,307540,-1,570052,-1,-1,622558,-1,-1,-1,-1,744407,-1,374918,-1,709380,-1,-1,249002,353058,-1,-1,-1,841061,-1,-1,-1,-1,-1,324847,-1,446316,993030,171918,-1,-1,339317,150067,529186,535231,-1,400508,288118,-1,30578,509194,558149,769049,571053,-1,613638,827647,-1,-1,-1,-1,855858,662539,578445,-1,96367,340290,407448,-1,781070,856220,816534,-1,-1,-1,-1,-1,700745,695820,-1,38349,-1,-1,170298,-1,646298,-1,913261,369175,-1,56295,902183,-1,487404,-1,-1,-1,739203,776623,-1,6861,-1,-1,-1,-1,637670,655170,399205,757023,813324,13957,-1,641027,-1,-1,-1,-1,980233,172256,-1,-1,178098,-1,-1,456951,123895,293681,222718,-1,381193,-1,652618,-1,-1,-1,-1,-1,171972,703051,635168,-1,-1,79819,368200,-1,-1,986230,-1,706051,190176,245803,-1,-1,-1,-1,9576,-1,922708,-1,552506,-1,-1,-1,391784,-1,162430,-1,-1,323220,22669,989081,912237,314715,-1,945614,283875,640388,125963,752722,-1,-1,-1,-1,990823,-1,-1,-1,-1,-1,862797,728772,213224,-1,724304,-1,147523,154834,-1,526249,-1,722095,-1,193515,-1,-1,-1,-1,-1,-1,901679,-1,-1,-1,68247,-1,328598,-1,-1,330264,-1,2586,-1,-1,459088,220231,-1,-1,779343,-1,156790,167030,552919,552609,-1,948310,673471,517880,307118,-1,-1,943955,-1,515873,770794,900443,-1,-1,-1,48483,83314,362719,3847,-1,-1,154675,-1,719130,-1,-1,-1,810417,918098,713779,163887,440774,839800,802963,-1,841537,-1,-1,-1,-1,748342,258906,989684,-1,528877,874921,-1,109023,289919,341825,305633,71203,-1,-1,-1,-1,-1,-1,-1,82876,88879,256683,264497,108133,-1,-1,-1,125563,-1,-1,763047,-1,404823,-1,-1,-1,-1,694137,315814,659725,835316,-1,-1,-1,-1,-1,11889,-1,596439,-1,356255,-1,-1,-1,577004,185445,-1,-1,322584,-1,959482,336180,-1,-1,487624,-1,-1,936275,976033,-1,700144,-1,-1,384749,848888,896224,692591,623299,-1,50800,-1,884510,-1,-1,845321,168374,-1,-1,25351,267360,-1,540967,-1,-1,-1,701821,703805,-1,-1,413235,-1,-1,771957,671068,752649,-1,-1,-1,94785,15408,-1,-1,-1,641144,-1,271658,164846,49285,-1,-1,-1,-1,-1,-1,64034,-1,365532,451386,39559,-1,107335,-1,442669,780232,653448,-1,-1,234798,-1,-1,-1,764957,244099,-1,-1,910647,-1,31590,-1,21790,-1,-1,-1,-1,84878,-1,-1,-1,-1,290833,606452,-1,-1,-1,558157,754068,-1,-1,-1,814337,-1,628789,499035,-1,-1,-1,-1,-1,-1,778723,816001,-1,120646,726836,-1,-1,-1,-1,539172,-1,-1,-1,595414,877784,-1,10866,-1,550291,-1,191551,-1,-1,-1,221843,818685,-1,-1,-1,335753,154830,643895,311460,798610,-1,-1,514102,780800,-1,797328,50901,-1,-1,459788,775944,353307,-1,442423,734614,-1,-1,954482,-1,-1,11022,192519,-1,272621,-1,961844,818369,-1,206298,254136,-1,-1,172124,160748,805426,-1,789405,32169,-1,694179,437683,-1,791591,-1,17725,451841,411687,406551,-1,-1,758764,-1,-1,938598,-1,827307,278168,998547,310603,-1,-1,-1,-1,403139,-1,-1,-1,793097,411637,-1,-1,207656,812660,35924,238802,68548,931608,-1,790731,183581,-1,829329,180313,-1,-1,416876,724912,622050,-1,-1,-1,763265,-1,46812,509830,-1,21788,557903,898447,-1,-1,65303,-1,223164,410021,-1,-1,753963,-1,-1,948531,672269,129753,254770,-1,-1,34347,-1,963799,-1,-1,-1,249057,-1,-1,-1,889408,746526,707778,552332,-1,20365,-1,-1,708964,-1,763853,-1,-1,879630,568485,-1,372454,-1,564400,619335,113033,-1,180658,-1,-1,130772,83378,-1,-1,-1,-1,-1,-1,93989,546183,-1,639107,-1,-1,416847,-1,-1,-1,958422,-1,-1,-1,-1,-1,-1,-1,877594,-1,257497,-1,475,-1,-1,-1,593491,-1,649323,-1,69570,-1,-1,396231,474892,965543,447683,-1,-1,-1,957676,-1,-1,-1,654088,-1,896859,-1,-1,109785,949459,-1,241652,653601,-1,-1,-1,-1,-1,430792,832367,-1,111639,-1,358370,232101,-1,111405,-1,80732,797635,535808,-1,-1,949095,803117,-1,595855,-1,832427,285959,-1,-1,6250,-1,-1,-1,783898,834776,849896,-1,336594,-1,197577,316356,42935,235065,20958,-1,346577,-1,-1,18051,775493,298993,324971,894944,820759,-1,272363,371788,463753,773367,966897,-1,-1,598477,809880,633224,932100,-1,-1,-1,-1,338505,383574,-1,-1,490076,364617,-1,-1,847684,59408,-1,43398,-1,654010,607706,964482,636275,-1,-1,-1,-1,534471,-1,876002,-1,313030,148576,786517,751784,274411,216212,-1,-1,451260,-1,-1,-1,-1,-1,-1,-1,-1,215279,-1,236125,-1,-1,-1,917747,-1,-1,543052,-1,-1,-1,119937,-1,-1,-1,-1,361448,68180,-1,418857,533647,798296,967621,175819,-1,-1,662111,823259,-1,-1,-1,-1,-1,186382,288462,441967,-1,579960,693853,111184,-1,-1,590162,-1,172833,768732,818664,-1,718323,428548,725226,235570,841679,-1,-1,78289,929479,-1,-1,182061,-1,894073,784258,948762,-1,-1,429082,-1,-1,-1,473604,-1,-1,635332,-1,417300,940363,-1,988359,-1,-1,30417,-1,-1,727724,-1,681903,823344,173737,-1,9563,-1,-1,-1,-1,326903,-1,131064,-1,-1,791098,-1,-1,-1,-1,242384,-1,-1,-1,-1,-1,-1,24984,76500,-1,583215,-1,-1,-1,-1,507753,81619,-1,136712,-1,792608,-1,-1,715987,397904,311220,170187,-1,-1,-1,817079,-1,-1,235915,658374,109693,660048,443112,640111,173189,262164,401312,9229,664798,857293,-1,645748,833431,793647,-1,61526,-1,712827,416646,-1,659181,-1,347548,-1,619856,841291,-1,-1,-1,80556,-1,174535,674471,940041,561567,-1,113392,500316,570631,-1,-1,148723,658368,435954,-1,-1,552774,-1,-1,96799,-1,882848,629389,396682,-1,-1,900789,521757,675209,954357,998990,-1,-1,-1,662586,821520,-1,63168,-1,725864,-1,762777,-1,973146,-1,-1,635585,-1,-1,-1,954161,-1,643000,433258,639248,780251,150145,-1,589155,-1,-1,1019,151003,237677,-1,843894,763657,435778,301831,-1,384404,979113,258130,300972,-1,-1,-1,111588,-1,294247,-1,833134,-1,293083,-1,-1,945587,-1,167053,-1,-1,-1,-1,637098,-1,64183,-1,796398,518040,-1,-1,-1,-1,901615,-1,240081,617794,-1,-1,-1,856320,524010,-1,-1,23693,-1,-1,-1,932390,94978,-1,156924,862118,-1,334725,-1,-1,-1,846473,-1,-1,-1,477789,-1,257936,456869,-1,-1,-1,-1,781134,-1,554898,21326,94342,-1,328429,-1,-1,-1,59403,-1,-1,355994,-1,92403,-1,473207,668705,317405,361187,-1,311981,-1,-1,107339,-1,350483,-1,937009,-1,573140,-1,746901,-1,-1,-1,-1,-1,596141,-1,-1,-1,-1,-1,-1,27338,493336,-1,-1,-1,53403,997694,-1,916336,403088,274753,132785,-1,-1,-1,-1,-1,537624,485243,-1,237969,-1,36097,647186,787789,367342,257729,-1,757681,-1,676082,999472,-1,-1,689676,892472,340711,-1,-1,180315,-1,630763,377911,658200,733147,-1,-1,517664,276741,906162,637284,663706,-1,678683,-1,236776,880142,918365,-1,-1,25287,319256,-1,141677,-1,420274,-1,12495,-1,727143,741946,-1,334550,289098,171508,-1,38964,624945,-1,-1,735615,-1,21196,-1,-1,-1,-1,-1,110395,-1,572636,-1,869728,-1,-1,645584,346049,-1,-1,729047,-1,898278,-1,-1,46990,-1,-1,909901,406188,-1,-1,-1,-1,431724,-1,-1,-1,-1,-1,-1,258018,-1,182808,-1,-1,206989,473696,936882,-1,-1,-1,-1,939659,-1,-1,505779,-1,-1,-1,-1,-1,-1,-1,694017,-1,37174,626290,-1,621378,-1,-1,319539,-1,699261,942350,169017,-1,-1,-1,116736,-1,895766,428769,496045,262658,972128,-1,936408,-1,124295,-1,93364,-1,-1,-1,752424,-1,994497,-1,858982,36504,808877,-1,-1,-1,-1,95849,-1,701566,198391,-1,-1,210063,-1,-1,-1,246368,412713,-1,-1,-1,-1,384982,935503,342124,379580,244533,-1,271182,-1,968080,-1,724463,-1,905576,-1,964702,-1,913522,-1,920659,-1,472822,-1,508707,811290,631153,999547,-1,634212,965430,-1,18037,496650,-1,-1,503566,-1,821588,994418,634613,998750,60104,-1,979793,-1,-1,-1,544984,917666,-1,229461,-1,630390,-1,331244,-1,45394,214662,374338,-1,713251,-1,629616,-1,294409,-1,745365,-1,-1,258705,311989,677720,-1,-1,488617,991006,653482,-1,206886,136560,-1,-1,979255,90034,829759,-1,-1,-1,-1,350745,-1,90678,122997,622075,-1,693602,-1,140514,-1,514810,826599,13150,-1,494921,324384,-1,333550,734263,-1,152817,-1,-1,873800,-1,-1,-1,-1,-1,227675,112452,-1,-1,862415,-1,-1,505647,919439,324883,-1,555283,-1,-1,425192,571628,-1,382431,620742,366399,-1,844709,211338,-1,113515,937124,-1,-1,706985,-1,420536,286043,-1,166388,486616,269576,-1,194981,-1,110616,-1,410327,-1,686423,447131,-1,214700,765747,717439,201018,-1,561597,5713,-1,222452,-1,-1,722080,80410,122375,-1,945058,-1,694196,480646,536298,-1,867559,-1,-1,-1,-1,264195,-1,-1,61854,313331,637531,218669,-1,-1,522819,670862,-1,-1,180769,797565,347507,-1,-1,972843,165551,-1,753376,-1,911290,449874,-1,-1,-1,-1,-1,-1,71959,690324,-1,1216,794075,64509,870113,139295,676473,-1,-1,290800,929151,-1,697023,590742,834498,100670,425940,-1,532958,-1,-1,-1,293448,-1,-1,110027,38783,356772,150007,-1,-1,453291,-1,-1,155930,215077,-1,410854,225207,-1,-1,464997,-1,-1,-1,489798,-1,-1,-1,-1,-1,-1,-1,-1,666111,-1,990797,886487,416182,-1,496011,-1,-1,-1,124383,455225,-1,442064,-1,858072,712770,-1,-1,-1,-1,360820,544763,951042,-1,-1,632955,-1,-1,-1,-1,681898,782978,768102,532249,389113,-1,357865,-1,631092,-1,-1,-1,59534,37774,133356,-1,684020,-1,-1,-1,412329,773094,-1,-1,-1,-1,761556,-1,45204,-1,124680,392617,539207,-1,-1,135193,-1,416339,-1,-1,575020,195694,-1,376951,371507,509713,635471,826408,-1,-1,-1,365820,-1,-1,556666,-1,585637,428485,677271,212012,296454,-1,-1,114966,978180,-1,-1,436255,434626,-1,-1,168409,577233,593543,-1,-1,-1,900026,555423,226253,220261,939769,611859,832832,997816,655195,-1,-1,273849,621770,502206,423796,-1,-1,-1,-1,29332,800115,281300,7054,767268,-1,-1,-1,298427,-1,-1,970280,-1,625703,-1,962725,780892,932037,-1,-1,-1,475222,-1,827622,-1,-1,761431,389952,-1,334270,-1,9537,-1,313396,-1,-1,564272,122403,-1,-1,-1,-1,555261,135631,727467,735641,-1,445917,489875,-1,-1,339413,305748,-1,862049,628559,755163,-1,-1,356867,219234,-1,-1,294081,-1,-1,463026,-1,626228,585944,-1,780989,603936,510308,-1,474365,-1,-1,131010,-1,-1,-1,284692,-1,228408,796382,-1,-1,858200,903101,544892,409717,513665,-1,-1,329873,-1,933767,176704,-1,-1,-1,811033,393528,2029,-1,510973,481201,227989,513834,317285,-1,-1,824248,895750,-1,934980,-1,-1,373248,435017,-1,-1,-1,384442,-1,-1,305784,333748,-1,694010,83037,915140,-1,387117,-1,-1,-1,-1,593070,846754,-1,975447,230236,710939,935007,-1,-1,-1,-1,906143,-1,-1,105633,12265,-1,355290,813046,130450,588951,271897,-1,19342,837624,-1,-1,508611,-1,-1,-1,252863,504996,-1,99848,412604,740978,863217,76886,262269,-1,613132,206752,450663,-1,-1,-1,792650,714972,523202,706197,803933,-1,515251,373063,150556,491942,488918,-1,-1,-1,-1,-1,79199,798447,-1,-1,196490,77285,-1,154434,272712,-1,-1,623346,-1,234344,-1,-1,111745,-1,275053,676515,407778,-1,311977,366138,-1,784547,-1,809161,-1,-1,285358,529682,-1,625682,343536,400820,-1,349769,924202,779890,732763,-1,994432,-1,-1,233958,391297,132426,850708,985836,286868,296424,533013,266903,164129,543755,232148,141712,417980,-1,87300,279292,-1,749679,649489,-1,338630,226649,975341,560792,-1,-1,665160,-1,-1,784179,-1,407191,-1,543124,-1,-1,-1,-1,-1,992136,128829,-1,-1,-1,690458,-1,467584,664653,518938,-1,317204,519455,-1,-1,-1,-1,-1,864642,-1,-1,666131,-1,730440,584097,-1,765441,-1,-1,851598,724861,313961,105421,-1,-1,53467,-1,-1,819007,-1,-1,-1,321896,-1,113898,-1,144851,-1,-1,568373,-1,964182,-1,832819,-1,453788,-1,107067,532142,-1,-1,-1,537929,400428,774573,110969,433471,985950,85469,741434,-1,607869,197673,-1,-1,-1,973306,-1,999534,681445,64138,-1,974151,534253,-1,-1,-1,-1,381127,285235,540139,-1,859180,82680,906114,167507,164211,89406,78179,851499,-1,-1,46241,409303,-1,-1,569969,263712,773795,79688,146421,173027,-1,248284,96345,907209,494577,-1,-1,916203,-1,856705,413714,-1,833024,149799,-1,100773,368155,-1,-1,-1,169419,-1,-1,264843,-1,-1,436606,421822,-1,122857,28788,888909,254952,-1,520028,23203,150133,-1,959413,558730,587807,-1,342938,-1,771781,731805,761818,148465,79977,446845,-1,491173,-1,-1,431961,-1,-1,401092,807169,658191,643967,256117,117722,-1,162344,785860,791032,973824,243660,179551,672167,205547,318243,-1,836045,968081,-1,616524,240752,400481,347354,249215,972849,132923,686706,-1,-1,-1,-1,-1,-1,863838,381826,986545,-1,-1,-1,-1,894349,-1,454407,732995,-1,-1,805698,-1,216394,-1,883498,517096,491806,779399,340394,361168,473408,956999,-1,574954,54359,755778,539470,-1,46296,641798,-1,-1,230959,-1,590983,965589,-1,-1,-1,-1,339100,631855,806637,98478,184714,-1,-1,-1,-1,-1,-1,-1,-1,-1,164727,333410,-1,792877,-1,-1,805019,-1,743416,374897,-1,631948,59550,-1,-1,-1,-1,388490,-1,-1,-1,-1,-1,906597,-1,-1,-1,462153,420748,-1,-1,157017,413201,-1,-1,-1,964004,962889,542990,141996,-1,294794,-1,153689,-1,744499,-1,-1,-1,-1,-1,917338,616746,789971,-1,551567,-1,-1,-1,413649,951733,-1,-1,846348,404688,74139,-1,613582,-1,-1,986891,583076,-1,-1,171594,218272,-1,-1,885535,-1,-1,-1,-1,-1,-1,378790,639317,405583,-1,-1,-1,480791,-1,-1,421988,722105,676068,-1,43004,-1,-1,-1,681373,354195,-1,166029,755491,628501,-1,522365,733058,-1,-1,-1,28244,637771,480750,254688,900134,-1,-1,-1,-1,-1,-1,-1,-1,553465,509544,-1,882322,-1,-1,-1,-1,-1,-1,-1,771554,451177,-1,284985,569049,207014,-1,342001,259974,-1,110567,-1,656393,-1,697598,104915,-1,829898,409548,-1,907746,412669,217173,895876,-1,-1,-1,-1,359986,-1,-1,-1,-1,764435,-1,927591,966858,-1,430309,414178,-1,-1,-1,-1,-1,241229,-1,118901,-1,-1,-1,-1,112129,664110,569955,-1,-1,843533,940899,-1,-1,250851,385145,-1,-1,573428,550738,920553,923252,-1,269154,-1,152125,129138,-1,281798,-1,568520,-1,-1,154196,-1,-1,754969,-1,670981,295051,-1,690408,159004,151460,-1,356621,-1,572638,906321,-1,-1,-1,177970,-1,-1,-1,463639,-1,920778,208138,867381,-1,-1,-1,715759,685030,107353,337167,758075,262872,-1,104987,748475,-1,-1,-1,398685,-1,-1,184326,167482,-1,105744,519565,567933,-1,802119,880779,-1,-1,-1,-1,-1,-1,678184,-1,223706,-1,671781,882428,225606,529852,-1,-1,-1,728416,441524,248984,827306,-1,257185,409064,-1,-1,109170,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,820486,-1,-1,928689,-1,-1,-1,-1,-1,519202,-1,710622,-1,-1,286499,-1,66741,-1,-1,-1,45134,640995,-1,334971,884252,600769,885793,-1,64574,-1,-1,-1,-1,76836,968978,788593,77379,8792,85313,791626,503543,952542,904376,362124,-1,-1,-1,-1,-1,470466,-1,-1,-1,-1,335731,720426,249721,-1,496320,669573,-1,-1,-1,-1,-1,480348,-1,-1,-1,-1,813895,793931,-1,63054,-1,962222,220160,674512,160969,468699,206097,-1,-1,21561,-1,284579,606389,-1,264096,259328,-1,-1,-1,-1,-1,-1,583683,-1,-1,-1,738918,-1,-1,209211,-1,-1,-1,-1,-1,-1,-1,551415,815517,-1,438356,499540,-1,-1,400300,-1,-1,-1,714985,-1,-1,922571,-1,-1,-1,-1,-1,604737,7872,334280,540307,-1,292807,-1,443109,-1,13492,162260,-1,-1,959536,-1,361418,-1,-1,781189,641786,268456,4000,-1,-1,-1,159451,-1,769136,716085,17243,-1,-1,599998,485844,770991,-1,969352,719779,418222,-1,992893,15008,431561,740966,302781,-1,537425,953579,-1,-1,718820,667175,405389,-1,-1,421954,284555,-1,872415,528309,462433,-1,-1,287487,-1,571248,775455,-1,-1,-1,822795,783253,-1,910706,-1,-1,-1,-1,-1,462668,955554,-1,389236,-1,-1,-1,302741,-1,669316,752645,60986,490125,130347,-1,369955,342346,-1,-1,195296,5015,-1,-1,-1,607542,862534,-1,346767,-1,642216,832034,741460,-1,-1,-1,822784,-1,256034,-1,-1,62924,69489,-1,-1,425079,194011,-1,-1,372950,563488,-1,-1,639801,479196,-1,874962,-1,-1,-1,979276,-1,605535,-1,614250,-1,-1,-1,-1,318724,568359,-1,-1,-1,155969,-1,627651,-1,403278,-1,-1,-1,-1,-1,-1,496845,-1,211811,800712,220508,-1,297644,272287,-1,270510,629499,-1,27995,490773,278208,208488,-1,-1,456203,-1,906214,-1,922917,100690,909896,-1,392933,275946,420711,-1,927906,414297,-1,560099,-1,314760,822450,-1,-1,110436,-1,135666,11182,103507,-1,441942,-1,-1,-1,653343,-1,188389,825711,-1,-1,-1,-1,3979,170603,-1,-1,-1,274412,40768,-1,288307,-1,-1,-1,87965,10073,-1,-1,949500,17838,-1,821207,-1,-1,363025,32497,-1,625715,103682,514984,-1,-1,-1,303884,-1,-1,-1,-1,903173,675825,551684,-1,528705,-1,98108,-1,276468,-1,-1,370731,179303,251125,-1,-1,-1,-1,-1,464683,41077,960924,-1,-1,469236,-1,-1,-1,-1,620518,-1,-1,-1,-1,111713,21824,904069,465858,795865,-1,387454,-1,707257,-1,-1,121742,-1,-1,-1,407432,55803,-1,121874,-1,632268,-1,976146,264077,677017,-1,43814,-1,-1,431138,-1,169018,-1,-1,331952,673263,-1,-1,666525,-1,-1,38741,899739,975012,501197,903529,707832,685802,-1,364401,-1,477379,801094,696920,-1,-1,307148,372789,184658,101574,-1,-1,967074,-1,-1,157254,429555,-1,691230,548319,-1,-1,-1,441638,-1,-1,-1,982747,549648,-1,-1,541746,10193,-1,-1,-1,-1,704623,918376,-1,636198,-1,-1,-1,-1,439518,-1,227301,-1,-1,625383,-1,-1,-1,943340,-1,-1,114349,-1,479765,915387,930607,-1,-1,734622,463516,175323,-1,-1,-1,-1,953425,151273,-1,-1,967403,-1,-1,-1,-1,-1,-1,769683,209481,-1,950152,20585,15147,-1,-1,215328,165543,-1,-1,591125,33971,-1,-1,524646,522373,304391,473949,-1,-1,-1,-1,-1,-1,230286,-1,676328,888862,-1,260091,-1,-1,-1,-1,945812,-1,578709,818995,-1,493099,441195,542857,509031,-1,-1,-1,212886,-1,759771,844452,698740,847521,-1,347309,-1,-1,474561,-1,200644,-1,-1,390136,-1,-1,-1,12850,562629,-1,-1,-1,-1,-1,-1,150276,734860,515287,-1,-1,-1,-1,-1,626197,203846,-1,506639,976463,251644,198942,-1,969438,364186,848689,966145,-1,748812,-1,581324,540889,-1,143528,132007,886711,326542,887201,-1,149710,238702,-1,-1,631980,383142,-1,232722,-1,-1,-1,-1,-1,508859,-1,-1,898043,-1,933977,218264,118635,-1,55905,371537,121884,-1,-1,905630,-1,379399,-1,-1,-1,756471,-1,-1,-1,582338,294498,579485,-1,916729,-1,364195,507263,704279,49382,727017,-1,404746,-1,-1,-1,-1,616062,-1,-1,316700,648131,-1,-1,318645,588657,901703,884267,-1,-1,-1,585704,-1,341225,-1,433105,512524,-1,795190,621061,-1,815341,-1,712243,501221,-1,-1,-1,-1,604351,-1,515880,545617,-1,434699,-1,967,547333,-1,677124,990740,59789,981585,-1,-1,-1,119332,952921,557746,637063,-1,871508,-1,446668,-1,851670,-1,-1,392486,240238,771001,803546,179892,522610,391505,-1,551715,784150,-1,-1,394012,-1,414605,38939,-1,-1,617817,-1,617116,511200,113003,985271,333512,-1,11866,-1,558777,-1,-1,-1,-1,-1,-1,324975,-1,-1,415914,-1,827025,-1,674330,-1,128605,-1,-1,-1,-1,-1,753061,107650,-1,-1,-1,122266,510369,856895,-1,620349,-1,536751,31261,-1,-1,-1,703028,-1,-1,87574,-1,-1,-1,-1,-1,-1,613541,763699,-1,34253,560448,983929,832954,706757,-1,273090,-1,385488,-1,510794,-1,-1,629856,632478,593564,755197,-1,-1,-1,679281,-1,166414,-1,269633,132732,-1,-1,-1,412486,-1,671689,-1,176450,654930,-1,-1,301912,846056,870539,-1,725130,-1,-1,107643,-1,281643,973023,580726,727777,-1,-1,-1,-1,-1,952204,-1,751409,-1,-1,29869,942074,-1,156450,252081,-1,856207,517361,356711,-1,81612,21794,-1,856938,-1,-1,338548,-1,489015,907847,831184,137937,-1,497597,127742,-1,511417,-1,-1,529042,665477,-1,808255,-1,463168,-1,143218,931322,-1,-1,-1,-1,535536,-1,-1,936338,747199,-1,980603,346675,-1,13687,-1,-1,775031,-1,-1,-1,-1,-1,329218,380076,-1,-1,572117,-1,-1,-1,544594,-1,-1,138910,-1,-1,933411,33656,-1,-1,30855,-1,834486,375241,-1,-1,-1,774901,202983,256040,-1,-1,-1,-1,974821,74995,167900,80201,-1,-1,339871,-1,341623,-1,872688,-1,-1,335039,121205,188199,-1,-1,-1,-1,553918,-1,-1,160393,3985,-1,-1,-1,-1,487142,872350,-1,-1,-1,-1,479664,914643,-1,-1,-1,-1,280083,-1,301502,-1,-1,110324,-1,708526,-1,728852,-1,-1,857810,839316,899499,-1,548728,733678,-1,-1,-1,-1,-1,329082,-1,288444,-1,9110,-1,-1,200757,270179,-1,-1,99468,72715,789474,168339,49417,-1,789335,985929,92845,481800,-1,-1,674642,-1,126518,231662,-1,-1,-1,764938,697296,-1,-1,768265,-1,-1,34179,-1,-1,440608,41220,-1,-1,-1,981096,-1,684726,-1,873350,774981,-1,882429,898117,751575,-1,-1,-1,236750,601870,-1,-1,508673,-1,-1,-1,517257,116678,-1,521186,416213,382643,-1,-1,229888,861085,-1,982203,900679,518088,-1,-1,21984,462797,354928,463913,-1,-1,95059,-1,-1,928916,569945,931090,624794,685625,-1,-1,848568,-1,-1,-1,936824,-1,518688,-1,-1,373766,7100,791489,369783,201433,760312,569495,-1,-1,-1,156141,387907,-1,968484,-1,174827,-1,314296,15812,563241,894519,783752,585414,-1,863758,-1,-1,328313,-1,-1,582843,-1,-1,837630,439109,213020,809806,222667,338268,581068,129382,271907,-1,914079,-1,-1,-1,-1,-1,-1,895030,-1,-1,865894,-1,-1,872148,-1,-1,-1,389069,-1,-1,381185,42945,-1,-1,-1,297719,218261,833062,371966,-1,-1,-1,325474,-1,-1,693395,-1,-1,962702,-1,-1,479046,823407,461571,987158,217332,-1,-1,63385,235142,804421,-1,-1,874316,841539,-1,112136,153637,-1,256560,-1,-1,-1,-1,-1,-1,215246,-1,-1,-1,176699,-1,194601,-1,-1,-1,525528,-1,174008,-1,-1,755835,-1,-1,166843,-1,-1,-1,-1,-1,-1,-1,139516,24115,179608,-1,197493,365006,806317,52211,-1,-1,545336,65483,445012,652002,-1,101990,25289,-1,51576,-1,-1,491770,240811,-1,824797,839467,658642,-1,612639,537501,222380,-1,-1,-1,-1,-1,-1,955734,991521,-1,46243,532734,-1,218677,-1,23754,489915,604215,-1,362630,469980,-1,-1,-1,-1,828533,967101,-1,286321,621043,-1,816134,837389,967748,-1,881991,790968,-1,-1,885281,-1,992359,-1,-1,28408,131185,-1,-1,692717,825171,797741,-1,517442,-1,471598,471558,574872,925244,29322,159038,-1,336869,-1,876506,253520,668265,-1,-1,295440,-1,-1,-1,432790,635250,-1,690238,36747,578951,170476,887651,187391,542653,-1,106113,942088,-1,570368,-1,7656,-1,-1,-1,-1,-1,680081,-1,762918,-1,632544,-1,253418,-1,-1,-1,634853,78317,779635,570866,816980,590855,536826,932097,-1,-1,-1,-1,975861,450438,885006,884114,510468,-1,115443,-1,-1,984612,-1,-1,546417,-1,-1,-1,975283,-1,925642,254923,-1,774218,208797,906484,-1,-1,507209,-1,-1,865812,846259,687963,-1,650355,-1,-1,-1,198710,910561,358493,-1,488165,541392,-1,-1,-1,257460,-1,545891,470064,-1,-1,505337,-1,294767,-1,699945,-1,453077,-1,364846,-1,253550,-1,299668,-1,776345,451094,-1,-1,24507,-1,-1,623334,-1,577970,953101,920828,390843,787088,-1,990890,-1,888879,-1,-1,78929,399433,70750,-1,-1,-1,876408,122796,-1,-1,-1,762627,-1,-1,-1,92215,429790,365265,-1,60615,-1,-1,289659,204948,491415,874475,-1,-1,297848,186479,-1,592270,285312,317435,754678,295887,996902,-1,-1,-1,184507,-1,214845,394579,-1,-1,-1,617105,919846,-1,693588,-1,-1,449318,-1,-1,967252,575952,-1,825514,106983,300749,932017,-1,-1,-1,995742,996482,-1,-1,-1,-1,122120,-1,878624,-1,-1,-1,-1,-1,-1,-1,994209,327384,-1,601717,-1,-1,948757,-1,359395,677187,991890,-1,-1,92171,895477,791133,-1,416551,-1,-1,292013,-1,972712,-1,76261,-1,606616,-1,-1,-1,-1,806547,174430,437930,-1,75530,628865,719633,-1,-1,-1,463485,435204,-1,-1,-1,-1,-1,668032,794650,128195,-1,-1,452133,386699,602673,442435,-1,389419,434691,-1,613621,-1,607507,-1,849461,334799,909841,532522,-1,68235,-1,-1,-1,57612,-1,-1,-1,940516,-1,-1,-1,-1,103230,913268,-1,169410,854293,623509,923320,169404,-1,-1,167268,566118,-1,727100,-1,490198,532947,-1,-1,-1,829268,-1,588738,633527,-1,-1,70107,-1,-1,-1,289006,846240,-1,-1,836116,705932,244609,767536,423650,231382,-1,-1,-1,218659,-1,343782,-1,-1,-1,811810,213826,468788,338919,-1,-1,330865,-1,22442,-1,384429,-1,-1,-1,35544,-1,311182,361042,-1,464519,-1,823251,238400,-1,936216,-1,691720,519766,-1,-1,302472,142691,-1,-1,564119,261869,-1,-1,761528,349513,427995,812640,-1,22778,511887,772732,286114,841685,224037,-1,630571,-1,955497,813722,-1,-1,-1,-1,-1,-1,56312,630157,296133,-1,988239,965897,667586,-1,-1,132798,-1,-1,-1,-1,-1,-1,-1,-1,936235,656616,-1,727135,972008,-1,16971,-1,739228,-1,775960,371122,406524,-1,179585,720604,171962,-1,607876,-1,-1,315546,-1,791946,-1,-1,583126,395426,144722,-1,-1,828155,106973,996254,-1,-1,841716,-1,969075,772378,-1,696290,-1,-1,-1,288952,77558,42534,55501,62033,936444,-1,-1,321464,-1,522770,274604,647508,-1,183149,616043,898332,666964,621537,-1,-1,-1,487440,985341,975642,866048,106971,-1,611007,-1,781610,-1,131033,-1,-1,-1,751142,-1,-1,-1,-1,-1,175727,148550,244723,988509,643058,445025,399316,879367,403230,550985,-1,182868,-1,869225,-1,-1,247606,704236,-1,-1,913311,-1,-1,807912,-1,-1,307227,-1,-1,329343,-1,660003,585201,935272,-1,149769,222534,-1,294700,977020,168666,95834,468663,-1,-1,945197,443038,-1,662007,-1,-1,699999,33131,-1,638508,-1,787216,-1,299079,719219,-1,-1,755490,-1,-1,681456,-1,-1,-1,-1,850053,618674,-1,897351,835014,579203,283676,-1,116060,-1,310929,137420,469284,-1,602495,830583,-1,671395,605191,306897,-1,803285,-1,517212,523593,426297,569518,-1,947508,145645,437572,271717,-1,-1,-1,-1,876828,106199,-1,722978,617721,998904,-1,-1,-1,-1,403286,939052,93616,191276,-1,404358,138183,479782,-1,-1,-1,-1,-1,718971,466814,-1,-1,71052,-1,676647,-1,363962,679882,389327,555323,-1,-1,-1,748269,-1,265116,717637,278240,-1,149537,583317,-1,-1,-1,708215,675585,-1,872463,-1,949967,-1,-1,-1,9969,-1,-1,775253,47278,-1,518398,-1,815044,521276,696668,370524,-1,-1,233438,933166,-1,-1,169915,-1,431268,334882,420,858066,769892,-1,-1,-1,-1,358977,826972,-1,992861,-1,-1,422836,197426,509759,453485,148580,555884,-1,863531,976957,-1,464531,297286,-1,-1,767545,-1,-1,-1,-1,-1,-1,-1,780117,262044,145960,633781,-1,368803,949254,-1,245110,570472,29793,327217,912017,622502,325793,-1,104344,122183,-1,40275,-1,-1,-1,11625,-1,-1,-1,878172,629595,393859,47892,363431,-1,412918,-1,205214,-1,613649,-1,513397,-1,542108,250615,-1,-1,898666,-1,359604,-1,-1,936725,-1,367348,846866,247376,-1,-1,533965,158276,213164,-1,425925,560810,209081,5891,-1,380350,248113,354813,-1,870645,998740,-1,408288,510337,-1,209425,-1,-1,-1,575183,-1,-1,-1,428365,-1,910334,472316,-1,-1,276658,-1,-1,9710,563512,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,167187,-1,930214,457636,-1,936790,469416,661054,687412,853729,663489,785893,-1,-1,263585,652368,-1,-1,346638,515875,-1,96510,719701,40588,852867,741491,46692,786536,244208,-1,342030,-1,-1,-1,852924,-1,566246,304470,-1,-1,-1,117091,-1,980283,598947,-1,419627,611884,774492,-1,386729,-1,354117,333037,179980,-1,267372,757360,-1,741159,740282,851343,779765,-1,-1,261315,-1,233053,-1,-1,646881,864831,409845,-1,874338,101920,954065,831742,209529,648694,-1,79760,-1,-1,443452,352586,824613,-1,999090,-1,586032,724776,-1,688994,-1,-1,-1,-1,314908,-1,-1,966588,-1,293581,915492,53848,-1,763176,463276,-1,-1,-1,939857,363708,-1,892226,-1,-1,-1,554596,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,962721,-1,-1,950452,992600,-1,-1,288549,533161,-1,-1,217206,132207,732898,-1,27160,377279,-1,-1,-1,437410,-1,-1,-1,-1,827754,-1,-1,634832,-1,887357,72816,984857,435685,575688,821927,701863,140919,479257,-1,804775,644341,228907,-1,716148,-1,-1,-1,-1,-1,539608,-1,-1,40369,-1,746519,78789,87643,314503,-1,726212,-1,-1,-1,537808,617387,-1,182522,313601,42226,708852,35225,735993,-1,264026,-1,469648,-1,157325,-1,-1,734611,290234,-1,234967,591586,-1,-1,-1,879348,347731,-1,565653,-1,-1,117705,-1,156489,200053,-1,767881,-1,858997,-1,-1,601752,-1,-1,625852,-1,536407,751380,-1,-1,913075,-1,-1,327284,-1,121079,441014,-1,-1,-1,-1,343002,-1,-1,-1,-1,-1,-1,-1,242164,-1,7814,-1,-1,-1,-1,90104,-1,-1,-1,919434,-1,94880,-1,703995,882471,307455,84456,-1,-1,-1,223843,-1,236894,-1,327464,179459,360267,-1,186295,54902,-1,-1,290104,967402,-1,-1,-1,-1,-1,-1,162811,776911,340718,-1,-1,-1,360150,-1,744167,-1,808436,111687,503424,666704,182371,32260,906284,546434,-1,-1,-1,-1,-1,-1,890311,496117,-1,285904,89803,141874,261711,381292,-1,-1,-1,-1,-1,-1,-1,-1,798964,982769,155480,566543,-1,-1,637205,940604,266595,-1,156752,-1,-1,-1,826883,123460,825861,-1,-1,217723,919097,-1,-1,386651,-1,-1,153885,202546,-1,423354,-1,-1,-1,-1,850562,766335,298721,851571,327124,786461,-1,664905,471427,397981,255329,212258,-1,542085,-1,-1,-1,40072,-1,-1,-1,-1,-1,671219,849395,748111,966613,-1,464737,-1,-1,-1,-1,-1,-1,-1,364391,-1,75539,952320,716240,59370,-1,-1,-1,997098,169611,-1,-1,-1,-1,-1,275336,-1,182398,836418,655524,644778,966755,673774,-1,621685,-1,730154,107213,892118,318602,-1,514256,-1,-1,465803,-1,221535,-1,916286,-1,759472,-1,-1,999310,44554,930949,603430,-1,164205,225239,-1,-1,-1,-1,-1,40317,-1,-1,-1,-1,-1,218848,998747,955927,-1,-1,946896,398069,512898,22808,-1,129049,9405,754190,-1,244112,-1,560017,754695,721393,-1,-1,790194,-1,-1,447202,710070,131775,489398,9728,159184,-1,-1,-1,-1,-1,198872,-1,450838,-1,-1,-1,781399,-1,773001,-1,-1,329541,-1,-1,957756,305833,71912,215957,511372,351047,653694,496783,-1,-1,-1,275497,940381,-1,-1,-1,351483,224352,436392,-1,-1,304699,-1,445141,804714,782593,281103,42166,363097,366091,54881,-1,705570,-1,-1,-1,626961,-1,-1,81928,-1,-1,121655,609653,489289,182362,-1,-1,482428,911350,-1,-1,923925,-1,797060,-1,794247,47204,-1,-1,888772,527817,-1,-1,105489,-1,-1,760245,-1,493092,-1,739245,-1,-1,-1,203556,53995,781882,145146,825067,-1,999448,-1,-1,-1,275506,-1,-1,-1,-1,-1,620628,-1,-1,-1,-1,-1,-1,507421,606015,39524,186531,424393,373718,189599,526947,460636,-1,168593,445133,619450,-1,-1,695289,825831,213777,-1,-1,924017,-1,-1,-1,549208,-1,-1,916191,-1,906618,-1,-1,-1,-1,-1,-1,-1,558993,210422,-1,854259,-1,-1,832767,-1,-1,-1,-1,-1,-1,-1,195374,-1,704772,494618,752317,-1,-1,-1,652798,946774,-1,959283,586891,452544,-1,466914,-1,-1,292084,-1,217602,-1,566599,-1,-1,-1,-1,492501,491626,-1,-1,717283,-1,32782,134170,711875,238191,-1,965338,625149,645676,-1,530760,349365,-1,-1,928893,-1,715809,353730,698234,-1,-1,168872,512000,-1,487186,103761,818005,-1,-1,916941,309816,-1,-1,-1,-1,-1,93650,-1,519375,-1,682900,-1,-1,-1,-1,792546,-1,799151,487890,-1,-1,583888,-1,-1,-1,-1,234335,943093,545364,656198,-1,-1,348158,-1,779090,-1,370132,-1,-1,-1,-1,837892,154993,-1,504256,724511,-1,242152,379310,-1,383962,885534,-1,-1,-1,-1,118033,-1,-1,-1,467863,-1,-1,528694,700243,-1,915918,-1,-1,-1,878463,-1,372717,268238,306770,-1,-1,110533,96897,358808,367353,119989,-1,-1,43316,276002,-1,383314,-1,-1,-1,-1,498392,483043,-1,937560,-1,365107,650780,-1,-1,-1,912334,166465,321904,295551,-1,-1,370116,-1,394167,119118,13188,868721,-1,-1,597995,-1,446284,-1,114554,-1,768419,-1,-1,-1,-1,-1,180185,-1,-1,-1,-1,378305,701757,58274,431388,-1,-1,995145,989454,-1,-1,259135,398023,781789,202935,-1,304721,369818,-1,-1,-1,-1,766504,547129,-1,324455,763221,-1,168060,-1,-1,867063,-1,-1,862280,234089,-1,-1,276763,-1,664557,-1,108776,384487,951253,-1,-1,-1,-1,529905,-1,58288,651001,648372,-1,286141,-1,-1,-1,-1,-1,219092,881246,-1,-1,655254,492945,-1,-1,-1,130415,-1,-1,391940,344601,128276,-1,-1,206014,-1,953335,-1,440918,-1,-1,225659,703010,613040,15789,-1,-1,-1,-1,387179,463693,-1,525483,153053,470649,704935,363069,-1,834714,-1,-1,-1,-1,916126,638363,-1,-1,647028,837557,839846,816222,783985,552262,-1,-1,114460,99842,299057,-1,-1,-1,136365,-1,-1,260048,-1,-1,-1,325972,596152,158973,-1,445295,-1,321586,148567,-1,186980,-1,-1,286984,-1,6749,-1,119658,652775,-1,-1,605842,375638,-1,-1,-1,-1,-1,-1,535853,775475,683689,-1,29217,608811,89505,-1,139390,-1,197578,-1,-1,-1,-1,-1,998505,-1,121628,566737,657505,-1,119772,464351,984185,314891,-1,-1,-1,-1,490409,-1,501174,72912,900869,-1,-1,942541,-1,905457,369233,-1,-1,305020,-1,158048,-1,-1,-1,960925,956709,31882,78387,-1,-1,-1,-1,-1,545257,-1,-1,-1,-1,169728,-1,-1,-1,-1,685362,-1,-1,-1,696520,943885,-1,-1,-1,-1,154734,236961,-1,-1,-1,-1,281921,-1,-1,-1,298103,-1,-1,756779,-1,-1,311233,910272,529385,612186,-1,-1,-1,351643,-1,144931,366692,-1,-1,816956,-1,-1,-1,-1,-1,-1,263571,-1,-1,-1,-1,846369,492373,-1,-1,193254,445094,441788,-1,-1,-1,443235,920658,-1,-1,-1,804330,-1,511843,-1,-1,-1,539889,235340,111993,704674,-1,332425,-1,-1,578412,-1,996120,-1,661863,-1,-1,-1,536828,-1,-1,-1,426376,148456,223132,670450,-1,966209,-1,400213,195297,775348,237187,145915,590319,922268,-1,637410,889822,448182,141782,-1,-1,971369,-1,682983,102607,905179,-1,448033,278047,-1,553768,-1,273209,-1,56565,655973,853433,-1,352928,185370,-1,-1,-1,-1,-1,-1,439924,537931,484387,329478,710326,555197,-1,-1,-1,-1,-1,-1,653361,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,504642,-1,501954,682599,651203,531196,314968,438203,136055,834805,-1,-1,168138,462140,937989,35841,970571,119808,-1,-1,456012,544875,283949,992360,762900,-1,840918,-1,996817,570442,-1,427411,325374,320989,328180,-1,-1,-1,-1,896291,-1,-1,976186,575848,82219,-1,421613,-1,-1,-1,784549,386159,919775,591030,-1,-1,973216,-1,69376,-1,-1,432571,778889,56027,-1,824100,-1,182944,704206,-1,930618,55998,713653,-1,824861,850872,-1,23202,-1,-1,392029,202607,412319,-1,958110,-1,223446,-1,715710,-1,-1,225583,417639,601656,-1,-1,-1,105481,-1,117414,-1,229728,-1,820007,344774,-1,-1,-1,423758,127751,825860,474073,-1,36368,-1,146615,-1,-1,-1,201070,-1,691035,46281,297084,743501,-1,-1,849260,73372,-1,-1,-1,-1,436943,808565,-1,-1,890067,-1,707375,826570,447774,914087,966353,-1,-1,-1,-1,983098,-1,-1,-1,728785,37628,-1,-1,-1,676770,-1,853534,-1,333931,-1,-1,-1,210653,-1,-1,-1,425778,-1,-1,-1,-1,-1,-1,-1,-1,-1,76322,404892,-1,893356,195456,108129,-1,-1,545228,-1,467850,559131,869970,270558,653329,673717,-1,-1,-1,201078,-1,-1,-1,-1,-1,863361,564562,566589,-1,-1,777261,-1,-1,417226,762720,565119,733099,904994,631630,983619,652708,159891,719101,-1,-1,-1,-1,-1,-1,-1,801536,765582,-1,718614,399195,-1,-1,450116,886430,307247,-1,-1,982138,534891,-1,155787,-1,-1,890105,-1,-1,-1,141322,-1,209996,-1,107378,-1,-1,349688,972535,-1,241681,435491,-1,-1,-1,217799,-1,-1,-1,-1,483760,329522,-1,829959,-1,-1,746434,-1,-1,-1,728693,69253,-1,560659,-1,73723,868407,-1,-1,475647,-1,802650,-1,-1,-1,407386,565770,-1,838690,-1,142120,850491,322462,931847,-1,998925,897672,261439,-1,406081,129697,743628,240567,619447,449081,332127,271567,-1,-1,109327,475298,656992,140379,-1,-1,265679,-1,145599,-1,-1,857994,-1,26946,330688,-1,436681,-1,-1,996797,-1,-1,29354,-1,275836,737242,-1,453605,905046,446143,320015,609839,866920,-1,-1,-1,145066,-1,-1,-1,293032,-1,513072,-1,-1,-1,263016,-1,-1,562068,-1,292647,999870,370575,838200,-1,486888,-1,885952,-1,-1,788306,763296,-1,-1,-1,-1,-1,-1,-1,532867,907668,191059,751369,164973,338826,419487,632142,-1,-1,-1,464562,475742,180464,233782,-1,-1,-1,-1,8663,-1,153624,-1,210369,326631,873105,-1,-1,57467,-1,-1,-1,-1,398766,271487,-1,-1,-1,51194,-1,-1,-1,-1,-1,-1,742609,-1,-1,-1,-1,48619,-1,390698,945662,635572,-1,-1,889811,666139,-1,859271,-1,27417,583923,873142,-1,629601,899497,-1,-1,-1,593033,917066,544846,285143,597780,597813,193387,-1,892568,-1,-1,-1,762044,-1,-1,-1,578813,-1,559283,-1,38264,-1,-1,-1,-1,-1,181407,-1,634767,-1,-1,497115,-1,533586,-1,988091,119943,-1,712642,-1,119455,435848,-1,-1,-1,-1,171718,-1,749791,369526,-1,334465,320583,294854,-1,-1,-1,66763,438890,593891,-1,-1,146823,-1,634225,446453,232805,-1,106601,199965,-1,-1,72520,1452,194138,959137,-1,-1,-1,-1,707539,880936,-1,-1,-1,550876,-1,-1,-1,-1,-1,535432,83371,948839,-1,-1,-1,243453,-1,550773,-1,-1,-1,-1,-1,469851,-1,27768,-1,-1,-1,916609,438663,75049,-1,559677,-1,228557,420760,526340,473247,608854,775870,394177,-1,-1,-1,799596,-1,145,516910,111791,-1,-1,-1,-1,288208,-1,345271,49153,732863,-1,-1,247648,518529,-1,-1,-1,-1,459077,189841,-1,201623,-1,-1,-1,-1,66088,-1,177675,152664,996452,276260,120834,542127,-1,413271,-1,663373,-1,-1,-1,-1,525948,-1,-1,-1,349953,186617,-1,908544,546906,-1,-1,438593,-1,101868,-1,-1,923494,-1,223500,886476,969724,297535,87192,-1,-1,941062,57514,381009,-1,78074,-1,423083,549606,-1,-1,641679,-1,924199,-1,847687,-1,797015,-1,844066,-1,-1,456723,-1,902330,-1,139786,-1,194366,108633,466571,-1,-1,897625,822837,-1,-1,514821,568731,-1,687182,-1,-1,817101,980547,-1,-1,635618,827541,-1,-1,-1,-1,127256,884078,-1,531115,351923,805781,-1,80950,-1,354136,-1,587676,100812,-1,-1,759947,-1,280614,534920,-1,-1,-1,384751,-1,593485,-1,-1,-1,-1,161804,7931,920512,790429,208000,-1,704427,-1,49400,-1,497665,990681,-1,466137,-1,693859,-1,98533,726149,-1,921364,117794,-1,352578,268701,92364,309501,-1,784162,-1,-1,-1,-1,-1,470133,-1,-1,-1,-1,-1,369740,717370,-1,472899,-1,930874,-1,-1,-1,102451,-1,-1,-1,904554,-1,-1,-1,-1,-1,891583,-1,-1,-1,-1,405597,428732,156098,-1,572828,536567,658584,-1,816915,348516,-1,-1,-1,-1,-1,-1,-1,-1,490938,280206,340617,-1,-1,-1,-1,234363,283877,-1,-1,327038,-1,442341,508933,492904,-1,690556,-1,-1,-1,-1,-1,-1,-1,-1,913729,-1,-1,-1,-1,-1,-1,399911,-1,-1,685342,-1,-1,-1,-1,765329,-1,-1,98207,374623,-1,-1,-1,151383,-1,-1,-1,52990,200960,575749,-1,-1,-1,792015,465741,-1,-1,585160,-1,-1,-1,-1,10813,229327,-1,-1,-1,-1,-1,201117,331000,-1,-1,941602,-1,654107,116388,-1,-1,-1,870349,-1,-1,-1,-1,-1,-1,849197,536924,829258,937383,-1,-1,772257,889825,-1,441204,931283,661536,-1,364971,602271,734343,421511,-1,-1,131514,41836,-1,-1,589325,546855,-1,-1,889081,-1,885823,-1,340965,441940,-1,-1,912728,-1,309036,-1,215124,-1,891745,893675,912063,473146,-1,-1,902394,793614,-1,-1,-1,-1,-1,-1,637584,-1,132957,220596,-1,455094,-1,270955,966201,-1,936206,-1,-1,429713,-1,-1,-1,-1,-1,596066,-1,-1,440861,-1,478284,688687,990521,-1,-1,-1,200294,145023,713654,-1,756627,813090,-1,877882,287875,721453,624098,491468,-1,901671,334525,-1,858067,-1,438365,-1,-1,507090,418555,63980,589255,218694,-1,-1,-1,-1,-1,-1,-1,653357,-1,226377,880492,-1,-1,631135,-1,-1,426880,679969,-1,-1,534557,-1,-1,-1,89278,-1,729290,580477,623049,-1,896212,-1,-1,-1,-1,-1,143780,-1,-1,-1,438624,29623,-1,778290,613461,995901,-1,-1,411894,-1,640580,-1,333327,-1,828509,245126,-1,-1,-1,482273,104394,-1,347388,-1,737961,-1,281273,137868,622396,277372,201186,559242,-1,-1,383991,-1,-1,636139,-1,394552,899187,354007,-1,933138,-1,292225,67059,-1,-1,-1,-1,666618,944934,-1,430383,-1,-1,836015,-1,-1,863953,535209,998237,-1,-1,175798,345126,747691,726900,-1,-1,-1,917255,-1,-1,-1,503925,-1,425633,932470,571421,-1,196589,51423,-1,669955,-1,-1,496652,115556,364933,-1,20987,-1,827202,983954,-1,-1,299172,760913,390627,395759,-1,550285,-1,-1,-1,-1,423555,946520,-1,633680,-1,-1,301646,-1,-1,-1,736002,-1,251105,-1,693345,-1,-1,642034,652489,969704,-1,936000,-1,480785,-1,780221,969413,-1,941777,-1,-1,-1,-1,-1,-1,-1,-1,71223,124381,-1,-1,-1,-1,593077,-1,699792,280902,-1,-1,-1,-1,-1,-1,-1,-1,271434,-1,296087,94337,21745,-1,619982,-1,-1,632143,819789,185304,-1,-1,362518,492471,779545,156132,138749,-1,55439,-1,737335,-1,807581,-1,-1,373014,-1,124113,-1,657005,514061,272529,-1,-1,71634,626879,-1,-1,443441,647551,30515,-1,-1,994700,575879,107031,-1,-1,-1,-1,-1,-1,-1,-1,44147,273507,867472,739622,-1,442627,-1,894402,640328,147660,280631,-1,701667,133703,-1,163222,218406,102767,935622,992617,493384,-1,-1,917970,491795,212378,-1,-1,-1,400418,-1,800728,-1,-1,-1,240577,994424,611707,134469,446740,307739,228403,717047,-1,-1,-1,-1,-1,517037,998895,-1,726863,131266,16922,816979,-1,361287,-1,38383,268289,949736,-1,937268,-1,-1,-1,-1,680056,-1,-1,-1,297456,-1,-1,-1,-1,178089,502351,580810,388727,290894,209036,-1,617890,125167,-1,189139,657783,-1,-1,-1,678378,-1,144131,-1,-1,221526,543319,976584,755000,-1,-1,-1,-1,342703,215834,215572,-1,-1,-1,-1,-1,176845,-1,710727,240260,-1,806407,835470,-1,-1,-1,61137,-1,-1,-1,-1,-1,-1,210598,-1,899926,-1,150952,157840,-1,688832,-1,-1,446109,-1,-1,283376,796789,-1,969023,-1,-1,-1,-1,654023,-1,-1,-1,263760,-1,716011,463289,89934,-1,-1,643777,-1,92848,632435,851792,789492,-1,987299,-1,-1,85161,-1,-1,402423,-1,-1,945467,995691,-1,790089,-1,277465,701426,-1,735829,-1,-1,-1,-1,-1,-1,334322,486937,521162,472860,-1,266730,-1,579469,541064,4995,565706,-1,294387,707422,448691,689687,-1,-1,169706,-1,-1,-1,179753,196012,861627,503210,680206,-1,-1,957731,-1,-1,243066,609582,316982,-1,-1,-1,-1,-1,-1,33709,737447,-1,-1,-1,970304,146178,305088,-1,-1,-1,-1,41921,-1,-1,-1,977595,-1,15417,984270,-1,30747,-1,-1,480322,-1,-1,756519,960223,-1,-1,782638,-1,273717,351050,813335,339271,-1,555995,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,363702,88949,431277,479935,-1,-1,161697,848708,805007,-1,695522,-1,879305,-1,6970,629145,-1,470485,988350,-1,761118,-1,-1,-1,750762,-1,-1,308157,841556,-1,908249,-1,-1,-1,848016,477986,521256,-1,-1,-1,239141,-1,-1,706006,-1,-1,-1,543627,-1,-1,-1,-1,487255,170765,730145,97909,-1,502387,-1,-1,-1,289694,-1,-1,127445,-1,-1,631439,362810,-1,-1,392025,-1,-1,-1,-1,-1,797254,223762,-1,155444,352292,-1,542536,229253,-1,906509,595915,-1,834125,-1,514466,-1,-1,577540,-1,-1,539750,-1,-1,-1,-1,-1,-1,-1,-1,200772,526430,-1,-1,692885,-1,645494,-1,807655,518798,883688,984557,-1,179381,-1,539621,-1,3571,628221,-1,-1,-1,-1,816482,-1,212123,-1,592888,400040,-1,460447,472083,-1,-1,-1,-1,-1,-1,-1,-1,-1,966612,28697,-1,181565,752069,304960,741891,-1,954878,-1,-1,355125,191251,-1,-1,746993,966840,-1,817077,242972,-1,487755,-1,-1,-1,14782,-1,-1,428966,-1,-1,285803,611507,399264,-1,174205,-1,789775,2129,27817,818595,-1,740965,775069,711978,222130,811066,283839,-1,-1,469075,188549,-1,753121,-1,876457,648843,-1,-1,34312,328771,494695,368953,165563,487184,616015,-1,-1,-1,-1,-1,-1,-1,17702,773949,-1,501566,-1,-1,-1,857125,-1,64422,578964,711607,651762,925736,530921,94016,-1,217,-1,-1,998497,434086,-1,-1,24125,-1,-1,65894,525514,609544,-1,355500,972928,-1,-1,-1,-1,-1,675888,244553,677020,998779,-1,-1,63498,214337,461241,421138,207467,550697,308175,945387,164194,364273,959903,202075,188925,-1,-1,-1,-1,-1,-1,379688,-1,395669,-1,-1,-1,-1,33659,100262,886338,-1,-1,332563,-1,-1,-1,86582,834221,-1,701225,-1,807528,-1,-1,-1,-1,380166,715394,690635,485427,-1,-1,532243,-1,-1,-1,749711,-1,-1,666193,881740,241251,571810,598582,328024,826840,-1,-1,-1,894177,-1,-1,433994,-1,135596,-1,475301,709596,971722,-1,-1,483728,62880,27834,-1,239170,-1,-1,312986,-1,88212,-1,601155,695022,487924,-1,69597,658351,-1,-1,-1,-1,649216,371995,3763,968460,883993,436410,662455,-1,-1,87184,388621,-1,-1,-1,847517,875959,-1,-1,-1,-1,-1,-1,84931,-1,-1,823350,-1,-1,483249,-1,521711,-1,-1,73036,265263,-1,846771,226382,468835,760787,-1,-1,-1,-1,116496,803494,990698,-1,49996,316410,900285,-1,-1,325538,-1,-1,-1,994498,901307,835772,-1,162175,-1,-1,-1,-1,372016,669330,67976,-1,-1,93426,762931,334264,336522,560914,288324,-1,-1,887135,-1,960835,848545,-1,-1,-1,430406,914910,328487,776169,-1,-1,-1,-1,-1,-1,-1,141947,738635,176605,-1,277796,-1,-1,218197,15322,-1,465753,261339,-1,341915,-1,291581,122846,125361,-1,872584,115789,992882,-1,49688,209103,-1,-1,189469,-1,411598,-1,-1,38649,362580,-1,-1,-1,-1,640254,-1,-1,646346,59135,-1,242006,591184,581535,-1,138341,407011,290143,609374,-1,-1,578982,737511,180535,-1,1542,-1,758876,276774,834265,560421,813572,764074,773361,853324,-1,-1,-1,-1,525517,709177,-1,-1,55992,277045,-1,577796,185379,-1,363244,-1,-1,-1,-1,-1,-1,627311,145902,-1,-1,-1,73490,-1,64815,-1,117899,-1,-1,-1,403656,965964,409103,-1,87194,-1,173647,-1,-1,-1,-1,-1,249561,384590,-1,-1,865642,-1,966834,852245,7159,84003,-1,27580,794304,-1,-1,-1,-1,-1,-1,46542,516068,-1,535501,143977,643737,908570,694691,-1,-1,120804,923450,942727,745072,78326,45373,-1,863826,694948,-1,305231,-1,-1,211056,551817,28665,457762,584192,263674,-1,-1,-1,-1,-1,-1,225410,25849,815917,-1,475244,-1,588258,-1,-1,320367,914561,641784,426989,637094,35049,-1,27300,435798,-1,765030,-1,-1,-1,113302,379125,76195,852919,-1,-1,406016,553812,247572,-1,548549,-1,-1,-1,756456,403075,-1,212237,298830,-1,-1,482049,245881,-1,226095,-1,-1,-1,-1,-1,232880,167983,-1,-1,-1,559284,-1,829545,72777,730949,642303,-1,-1,698538,-1,962062,64790,796510,-1,107600,196483,252554,-1,-1,-1,275476,-1,806065,-1,116928,-1,898481,-1,-1,569035,659572,-1,648108,-1,-1,223795,-1,100159,291558,787737,826529,-1,337327,-1,-1,-1,856682,781145,-1,-1,744930,582572,-1,742209,-1,838458,-1,-1,-1,-1,-1,-1,-1,892675,311499,-1,672598,314128,949411,-1,-1,-1,79968,166297,-1,10226,-1,-1,-1,-1,616543,-1,-1,538587,-1,659689,310037,-1,-1,-1,825716,982225,-1,-1,922317,-1,215944,-1,737740,266350,-1,70803,913873,246150,-1,-1,-1,329695,920608,511737,-1,-1,-1,461554,150117,-1,507060,241764,637200,-1,110990,425930,385584,-1,257271,64877,120591,702663,483648,-1,605369,-1,282877,-1,-1,-1,-1,696805,-1,-1,479558,410543,762158,212279,539052,404186,425571,695326,-1,583223,-1,798834,201113,16634,656916,531524,189709,242520,-1,504059,656808,300340,681622,299696,-1,268748,-1,-1,-1,397990,-1,-1,-1,-1,854911,-1,-1,116333,-1,-1,382625,-1,-1,-1,601451,53923,470899,298857,-1,451813,880663,620691,-1,42611,-1,645635,509875,-1,687321,245942,-1,-1,339628,-1,312106,830211,568027,591411,-1,310538,18230,335265,-1,629869,952026,-1,1505,-1,-1,-1,90090,-1,697667,677238,-1,543891,-1,-1,258709,-1,-1,883240,837133,746433,-1,467768,-1,-1,971904,769418,-1,-1,419552,88375,986081,-1,141780,760088,-1,-1,864190,673228,351560,308856,983299,177869,811859,349024,-1,802255,-1,124185,-1,480709,-1,-1,361876,857069,-1,776975,459386,854406,-1,-1,-1,-1,-1,-1,238558,-1,-1,649156,-1,-1,-1,111295,-1,589957,-1,236485,-1,390790,501467,853708,-1,-1,-1,348532,-1,-1,112558,-1,-1,300152,-1,-1,198116,-1,385706,559634,-1,208525,-1,699899,363909,-1,-1,856193,-1,-1,324255,-1,109957,95112,-1,797589,-1,-1,901499,566944,-1,634982,-1,345394,935664,-1,244651,-1,-1,-1,-1,-1,-1,268962,-1,-1,269239,-1,-1,-1,-1,-1,528883,915559,-1,240020,-1,-1,801991,-1,136968,130213,834026,-1,-1,-1,-1,438039,367463,283066,569658,155230,-1,-1,261014,-1,-1,-1,911283,-1,6953,892800,-1,761659,-1,-1,-1,-1,-1,-1,-1,-1,375270,-1,-1,989697,553742,219280,350232,-1,34917,-1,-1,264632,356662,-1,807282,-1,871595,22892,-1,277267,-1,-1,-1,349417,-1,170792,342213,136417,298630,97542,566248,-1,648680,703034,-1,-1,-1,-1,932056,183410,291644,195131,-1,-1,13997,310888,-1,-1,-1,-1,-1,156039,242348,877207,914051,-1,-1,220607,-1,-1,-1,562452,730205,920261,465710,131319,-1,998098,-1,281172,603346,-1,660347,-1,627887,83339,-1,241994,-1,-1,777784,-1,-1,585114,-1,-1,-1,299122,242905,694401,-1,38644,410071,147862,878495,-1,874795,190643,416290,774123,451395,-1,-1,-1,-1,257156,-1,145405,-1,193272,306722,-1,858892,-1,-1,725385,-1,-1,202955,604688,609332,839779,-1,-1,128435,-1,66308,308569,257173,238617,275477,535979,769604,309787,-1,-1,-1,828686,-1,-1,579561,-1,722184,84705,-1,-1,-1,-1,-1,-1,489790,415094,-1,-1,-1,-1,-1,77387,438711,-1,938787,149297,378852,-1,-1,-1,-1,552711,612640,-1,494522,990178,-1,780470,843150,167591,619179,-1,-1,-1,-1,841999,445907,636076,-1,326882,-1,-1,965460,393806,-1,551458,397104,637404,-1,528345,632165,-1,-1,-1,-1,532897,-1,-1,879599,458957,-1,94909,177537,-1,477577,413703,179773,-1,-1,-1,422468,-1,-1,-1,849756,784820,-1,-1,-1,-1,-1,775415,-1,910075,778371,575517,429778,381122,-1,185711,-1,148936,33760,-1,-1,434277,396936,273403,837334,-1,157774,107585,962282,976780,-1,-1,-1,312389,58217,-1,-1,-1,-1,-1,847962,-1,-1,104830,-1,-1,493225,640367,822346,-1,743487,-1,-1,-1,-1,-1,-1,-1,492024,513779,397477,-1,-1,-1,-1,901419,-1,-1,-1,307208,905710,-1,-1,-1,237476,-1,591614,300495,396312,-1,-1,187022,597364,-1,649730,-1,65534,621249,-1,-1,422738,-1,-1,-1,-1,395499,760431,-1,3147,-1,-1,-1,89147,-1,441995,674663,-1,47109,239738,-1,-1,270337,848012,-1,212720,66451,988018,131629,847610,233472,-1,330338,-1,135110,308024,-1,-1,256075,-1,494199,-1,517262,964758,-1,-1,139402,-1,-1,670053,983930,982230,-1,-1,-1,-1,-1,373482,-1,118238,153473,778715,99219,-1,447040,665865,358218,455712,-1,-1,-1,-1,-1,746219,-1,821240,-1,208671,-1,562990,411157,782763,996975,211304,-1,-1,-1,878532,-1,-1,673084,-1,110219,656895,120328,-1,607704,-1,-1,-1,-1,640057,60459,-1,705612,236041,356962,49811,-1,-1,-1,-1,-1,756880,496025,848396,-1,-1,-1,370433,153127,-1,151505,143224,6959,993922,499769,748413,970876,-1,741295,90560,527830,-1,-1,-1,380211,-1,725702,-1,614258,120452,961023,669973,1077,-1,-1,937647,-1,-1,-1,663359,426177,946131,-1,-1,-1,738120,-1,836351,-1,-1,808624,-1,435492,533049,-1,419933,-1,749880,-1,-1,-1,109930,-1,674743,488668,-1,-1,-1,520152,70553,-1,173517,-1,814100,-1,-1,677699,-1,943615,716815,-1,590176,-1,-1,342154,102115,-1,384333,-1,959543,890301,-1,661489,-1,-1,805687,-1,837527,-1,-1,790296,19177,439233,-1,669533,-1,687030,-1,-1,-1,40522,449096,-1,-1,35723,-1,604996,-1,236623,920535,846659,-1,-1,603958,723337,-1,-1,534922,257056,-1,756328,-1,838580,77762,-1,-1,-1,-1,556620,581799,926391,-1,661795,126762,-1,-1,-1,-1,673857,33809,725070,-1,-1,-1,-1,-1,435001,647870,349410,-1,686039,790944,-1,-1,-1,-1,-1,-1,765284,927130,842648,791735,426074,-1,-1,-1,531799,149506,281839,-1,10777,191998,-1,215564,589778,130909,590163,637077,854126,732943,-1,902944,671946,530483,849664,412912,-1,857565,-1,63884,-1,-1,242856,-1,793774,933962,-1,-1,486832,821547,-1,342990,-1,240180,829699,-1,823438,284240,-1,-1,595139,217804,307685,-1,894009,472406,-1,853375,-1,-1,625943,941890,-1,849553,-1,41697,-1,-1,91107,-1,-1,-1,147153,-1,-1,-1,-1,571594,803356,-1,-1,655316,299474,-1,-1,-1,-1,295398,239056,-1,-1,-1,41959,-1,-1,-1,-1,-1,429024,266254,-1,814051,-1,182600,875609,521430,244732,896399,-1,578447,-1,-1,-1,-1,-1,-1,36754,-1,341920,70067,-1,986449,-1,-1,-1,57847,211627,824186,513829,594101,-1,-1,678201,-1,-1,826197,149625,610323,-1,-1,510216,982410,667836,-1,690027,812670,-1,210097,-1,538735,67030,319708,988276,18326,-1,-1,-1,598932,663999,911896,-1,491672,-1,210488,-1,-1,-1,-1,-1,-1,-1,-1,-1,948057,-1,760346,-1,-1,-1,-1,-1,731789,418726,-1,925043,408141,-1,728305,106686,-1,377461,-1,-1,-1,-1,-1,-1,-1,319051,322849,-1,811254,-1,800111,645098,-1,552167,627823,441635,211625,219204,-1,210833,661864,962598,387072,47414,-1,-1,-1,465065,-1,-1,502280,-1,767535,758056,-1,-1,-1,219066,85247,174327,-1,991206,-1,-1,-1,-1,-1,349774,295167,133898,-1,-1,-1,419542,-1,607861,49142,276132,613792,968712,-1,-1,-1,-1,987237,826133,880199,853040,882926,-1,-1,500956,241702,-1,-1,368758,-1,114734,96750,466970,25514,-1,715854,402730,-1,-1,-1,61539,-1,218941,652866,829595,-1,23052,-1,-1,-1,-1,87381,681301,238449,-1,-1,-1,-1,-1,-1,953887,294235,514555,-1,-1,-1,-1,981419,-1,-1,-1,-1,866532,397389,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,380675,-1,-1,573675,-1,835747,110945,98692,606752,-1,132397,-1,-1,-1,-1,-1,-1,817756,470404,244905,491086,550677,-1,-1,665993,35575,-1,990389,-1,-1,-1,-1,-1,-1,-1,274551,-1,803169,-1,477420,-1,-1,-1,545708,957675,428497,870308,314294,-1,-1,545680,-1,266659,991040,-1,477657,-1,975818,14285,474926,587856,357405,-1,210463,337346,141424,-1,-1,-1,532225,-1,496611,-1,52784,484720,340768,-1,26072,-1,-1,6607,-1,200558,-1,-1,637255,-1,501938,-1,96200,371219,-1,-1,-1,396386,-1,-1,-1,-1,-1,-1,528462,228584,249095,95402,-1,148264,-1,-1,-1,197529,281809,-1,-1,-1,145846,261461,468570,297457,-1,45996,-1,979966,-1,932833,-1,923512,-1,-1,919519,-1,-1,867131,284403,-1,-1,-1,-1,776510,297030,-1,-1,192132,133126,301195,235307,-1,768252,-1,198241,-1,-1,923036,-1,426718,231627,520455,-1,314206,-1,411122,-1,-1,290,-1,-1,-1,584681,795779,753938,-1,339277,-1,206324,-1,-1,-1,568726,-1,-1,-1,844460,-1,122099,786108,431846,-1,-1,12590,462765,597693,630418,-1,335912,-1,987932,-1,-1,810779,383172,61719,-1,197316,106177,-1,-1,476959,-1,-1,65180,-1,698339,-1,878871,-1,765727,888657,-1,422306,-1,545665,-1,635405,625950,864884,-1,-1,979250,946341,-1,623052,889690,-1,-1,713607,182163,-1,-1,-1,817379,-1,-1,-1,-1,-1,837749,-1,301168,15148,-1,-1,654840,679025,-1,-1,158103,-1,399181,-1,545153,496194,5267,-1,229067,-1,442054,-1,-1,-1,382933,867861,136214,406733,-1,-1,-1,434550,995511,585856,123117,-1,-1,956197,79784,58695,243713,-1,163890,-1,407950,-1,-1,-1,-1,458420,-1,-1,797817,553806,196604,-1,433895,476932,350938,149099,384010,137592,991219,-1,19958,-1,-1,920334,958754,-1,364091,28874,-1,537230,-1,-1,445834,638486,-1,408369,529355,-1,388306,119161,-1,-1,930003,-1,680071,-1,248424,399986,372251,721509,-1,-1,-1,-1,859884,-1,-1,46278,-1,-1,957434,755696,961809,-1,722706,-1,-1,285799,872879,285592,565950,99831,-1,-1,-1,958755,927398,381777,346203,883101,-1,-1,-1,475239,127460,769644,-1,-1,396901,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,65609,-1,446222,590022,-1,80543,779437,-1,-1,-1,-1,-1,350630,856319,-1,231749,335744,-1,-1,914143,755640,650529,-1,-1,-1,208056,-1,77329,-1,-1,-1,763064,601099,-1,-1,-1,-1,764844,-1,46056,-1,613533,440078,993775,121528,-1,483267,384122,247116,-1,224715,126334,609176,748017,-1,-1,381695,-1,-1,-1,709880,122168,709699,602016,383935,-1,-1,-1,154822,490547,236778,-1,-1,182054,596148,-1,786969,-1,143813,685527,-1,739514,-1,-1,222179,559974,-1,570614,538132,735764,-1,299628,231340,730096,-1,521622,-1,-1,490857,241608,603627,-1,-1,-1,-1,295532,630660,-1,379295,43705,710248,759379,-1,-1,956767,171250,536165,905349,-1,859518,238768,992183,258845,820835,-1,863067,861553,-1,443983,443902,-1,893634,674765,-1,-1,-1,-1,-1,-1,882701,-1,99782,618213,208822,440309,-1,277470,676674,716635,889661,265408,-1,614286,161384,-1,799306,930348,-1,-1,396319,170812,263725,-1,-1,-1,117963,-1,943795,586251,593522,173632,-1,-1,-1,-1,176975,283313,370920,314459,-1,999621,-1,-1,657045,-1,812650,200591,-1,691750,-1,912824,825094,-1,-1,568401,-1,337236,854814,-1,987510,-1,143860,-1,-1,575451,-1,47480,-1,461889,985642,446694,-1,931766,840466,-1,736445,-1,126890,891173,-1,401033,775195,-1,-1,739920,384505,557107,594545,-1,525406,581767,-1,51795,-1,-1,-1,481080,958461,-1,-1,336651,-1,-1,-1,287321,306637,249150,-1,435715,884429,-1,-1,-1,601261,-1,93960,-1,708202,-1,-1,-1,794438,-1,262591,-1,-1,-1,-1,-1,237113,-1,-1,874681,693011,11417,-1,312441,74150,570999,718527,39873,324760,-1,416543,8803,-1,687451,-1,276931,-1,-1,560242,-1,836571,-1,508629,-1,343534,-1,-1,-1,-1,-1,-1,-1,-1,986467,-1,-1,936110,-1,573737,-1,13247,295170,140116,-1,353007,-1,-1,-1,-1,-1,-1,255797,816591,-1,-1,635144,-1,486371,409730,29218,-1,-1,-1,939040,-1,34810,977402,651674,92698,832770,-1,-1,219757,-1,367498,847460,909578,-1,-1,204439,-1,434843,922724,-1,-1,-1,893302,-1,578056,-1,-1,968785,445768,-1,259590,402386,-1,375931,542253,445185,-1,386438,796257,794103,-1,-1,-1,-1,-1,659752,-1,-1,263852,-1,-1,346248,766717,735411,-1,723223,-1,-1,-1,211021,838236,410644,742892,-1,-1,686309,646994,-1,-1,-1,415334,855304,573412,62224,403594,-1,-1,-1,481244,509325,-1,-1,976973,-1,-1,-1,-1,-1,-1,-1,464406,-1,55234,-1,-1,-1,902213,-1,546647,-1,65983,-1,109266,731713,-1,-1,-1,-1,-1,-1,293380,437205,589357,317178,-1,-1,748478,388983,14549,113501,816743,314120,-1,-1,-1,107283,5955,-1,21431,-1,511505,710965,174868,840558,850657,-1,-1,-1,792256,551189,358940,806054,-1,-1,-1,488393,413954,-1,547661,139355,941291,-1,-1,210682,-1,885065,-1,-1,633369,335678,178659,549917,-1,601279,52581,757827,83237,933950,-1,501960,838545,117230,886472,455718,617212,-1,800504,-1,-1,504301,-1,-1,-1,273120,84008,-1,-1,-1,-1,544768,148681,882424,499453,410442,-1,213330,-1,-1,-1,946570,287751,-1,-1,-1,899375,-1,367523,-1,221588,188681,337993,-1,112325,378144,-1,435790,182145,-1,-1,525807,-1,-1,102235,822909,817666,-1,792653,361973,586747,8021,-1,-1,-1,800109,-1,-1,164633,-1,-1,-1,614993,610970,-1,-1,794201,872490,-1,-1,931421,492938,697615,627660,-1,-1,178686,-1,-1,767899,-1,773419,168685,561560,644708,-1,-1,-1,-1,-1,612320,-1,546663,56864,890974,231132,699361,-1,164770,-1,-1,820052,322237,-1,308780,883395,397245,830159,888498,523986,534271,625713,-1,637753,66623,988483,-1,-1,715845,-1,777203,669154,514057,375953,878007,373423,-1,386712,-1,398906,-1,252207,-1,-1,591429,627056,-1,390419,38,-1,-1,528963,36467,-1,-1,-1,-1,335202,937223,456112,467124,862686,-1,976040,673049,680868,695424,715130,-1,898136,278292,-1,-1,627701,8304,677212,704680,338619,7446,317734,391491,-1,-1,-1,-1,973096,783865,-1,-1,614902,-1,854389,-1,-1,37500,-1,287243,-1,-1,402698,-1,-1,286940,591865,541918,-1,-1,993102,-1,329309,806987,566343,873416,-1,499666,-1,714510,337142,-1,113698,-1,34166,-1,-1,-1,440395,306365,-1,418386,-1,793883,904829,204204,-1,-1,722470,323584,-1,-1,969882,-1,258492,-1,-1,444148,267334,-1,-1,866944,-1,-1,-1,246820,89671,-1,470973,-1,-1,492675,13217,118908,850707,-1,727561,99703,357194,-1,-1,-1,-1,98342,72826,-1,-1,41714,-1,-1,-1,-1,-1,-1,-1,210064,-1,-1,-1,-1,331263,947655,283497,-1,-1,-1,-1,833687,509726,-1,-1,462894,337443,-1,-1,-1,-1,185748,-1,176365,-1,923846,-1,353275,-1,893818,-1,-1,638233,626924,-1,-1,-1,-1,-1,-1,784309,-1,856002,20284,989941,411033,-1,158758,-1,172743,-1,-1,345598,-1,328348,-1,-1,-1,703886,629805,739335,-1,225231,386731,-1,838584,-1,701789,-1,493289,297042,-1,220723,317857,312317,-1,840984,192487,234002,-1,-1,300440,-1,229364,-1,927613,243550,-1,-1,-1,675438,44483,509589,-1,534148,257365,-1,-1,215211,-1,-1,-1,-1,631046,290945,95879,364264,-1,-1,812703,478257,-1,100822,-1,-1,1475,-1,887006,198162,-1,231177,156124,34580,117143,769689,598212,-1,441612,-1,-1,158498,-1,293496,-1,-1,288874,247579,-1,115402,-1,858243,956078,-1,-1,-1,-1,49407,-1,383862,-1,-1,60040,-1,-1,252063,-1,540517,603108,938630,-1,-1,-1,-1,-1,190498,585593,-1,218955,-1,274761,-1,387449,-1,-1,-1,985171,-1,404238,450459,-1,138955,802522,-1,223763,-1,-1,-1,-1,-1,125868,-1,-1,-1,902230,954449,-1,-1,688067,870214,485225,561247,330188,-1,199324,-1,236519,-1,-1,-1,761476,470500,349325,518304,990131,-1,269032,251254,-1,952965,327637,266328,176649,141988,17553,304476,51636,-1,58838,-1,-1,536589,465091,526840,-1,423533,-1,170270,608736,943215,-1,723714,396290,-1,104267,-1,328359,-1,829057,-1,-1,-1,26212,-1,-1,-1,-1,572208,435292,-1,-1,480733,21218,-1,729079,-1,339276,-1,340383,697972,942487,384856,-1,831499,72999,-1,-1,-1,871604,439380,-1,277501,260200,106625,-1,759535,162990,-1,320268,283182,-1,373266,858416,595996,-1,757490,-1,860951,347110,418802,-1,-1,214791,-1,8297,-1,409772,903316,438788,-1,510345,-1,769733,-1,166512,229799,114665,307567,-1,578976,-1,114214,738996,-1,363018,-1,-1,545346,-1,255311,-1,880876,449430,-1,146967,-1,-1,625398,616776,-1,-1,-1,-1,-1,13782,-1,399437,-1,192649,-1,526714,-1,398713,481,-1,-1,265516,-1,181941,538050,-1,-1,784324,-1,-1,-1,96069,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,66485,-1,643339,-1,-1,-1,228525,642217,-1,939297,747009,-1,297428,-1,-1,972170,-1,-1,614349,405711,-1,477287,242556,-1,990495,-1,-1,646179,-1,-1,-1,881657,474219,893205,-1,632386,-1,94729,-1,-1,555804,-1,-1,766160,342307,869382,305412,-1,-1,-1,-1,886361,547849,105222,504484,-1,873757,-1,333365,610763,-1,855,854441,-1,711260,386693,-1,-1,538100,-1,298448,-1,981751,555811,643270,-1,-1,-1,-1,-1,368015,-1,-1,837061,156417,458832,568258,926930,-1,-1,-1,-1,5825,744830,-1,390151,382750,-1,-1,900228,-1,764990,443099,509535,-1,442503,-1,-1,201283,-1,617275,904629,-1,-1,-1,-1,-1,544971,130822,320061,753886,-1,-1,-1,-1,299414,-1,-1,258159,188803,869028,137074,108226,983591,581771,-1,-1,614021,73629,63612,-1,684095,-1,-1,919692,112533,882474,-1,347028,451807,-1,-1,-1,-1,302726,35392,-1,-1,-1,416557,-1,31383,908396,-1,441470,-1,-1,75235,232482,-1,505974,-1,357494,-1,100762,-1,-1,-1,-1,-1,198515,-1,-1,-1,-1,-1,-1,186810,-1,-1,20593,-1,-1,-1,-1,-1,-1,-1,599812,377337,556048,-1,598046,445847,-1,925717,78431,-1,797477,-1,338040,-1,-1,-1,77765,499707,-1,-1,636211,392676,-1,219635,752322,740957,819316,37973,886957,971786,661630,855814,235566,68270,877613,666943,-1,431431,358043,-1,163032,-1,-1,-1,-1,-1,973052,171222,-1,-1,502787,-1,842532,-1,2543,138130,918894,-1,-1,-1,723170,773272,154862,-1,-1,-1,8241,829240,646778,480783,86192,-1,401560,90923,-1,-1,-1,-1,249321,889133,241606,-1,845077,-1,-1,445625,-1,567849,720997,865127,-1,315936,-1,-1,125089,-1,303293,-1,898469,-1,-1,-1,532786,-1,-1,-1,-1,-1,-1,771463,241996,846696,-1,-1,-1,-1,-1,-1,-1,306115,-1,-1,-1,-1,-1,-1,-1,934662,-1,-1,-1,952875,-1,-1,199702,927630,-1,517340,-1,56885,-1,-1,-1,560453,920361,666250,-1,-1,-1,-1,-1,537157,-1,408917,-1,920123,-1,838900,922408,956450,-1,9892,-1,-1,-1,-1,-1,181516,-1,-1,339267,731572,617291,439119,-1,829732,-1,-1,-1,121091,-1,-1,594813,430938,-1,954815,642564,719100,-1,-1,-1,652736,-1,557072,818779,45655,968386,-1,654786,-1,-1,463341,176167,232871,953251,593050,731932,255319,-1,593608,62356,51585,967090,555213,-1,-1,-1,139286,283389,111579,674216,100343,-1,-1,69529,747325,914134,-1,-1,541800,988732,914485,746446,-1,-1,-1,357161,757191,-1,-1,-1,-1,646626,-1,725382,-1,664066,-1,85880,-1,296934,-1,-1,-1,45241,37863,-1,192721,271037,231591,695895,901785,292830,-1,480832,755914,853155,445056,472313,-1,-1,884827,163337,672133,-1,422549,713361,-1,895118,-1,-1,-1,-1,122438,667509,113050,938721,801959,147022,-1,-1,-1,-1,656275,814024,-1,271609,-1,763649,-1,285372,980048,557668,857826,290561,238356,-1,481652,-1,331816,871615,-1,-1,-1,733813,-1,33695,-1,443178,994293,-1,616938,691951,768181,66831,861955,-1,857468,-1,-1,-1,-1,458123,826892,-1,-1,727676,-1,764842,-1,-1,51292,-1,-1,863235,-1,-1,403974,-1,-1,873920,-1,-1,-1,-1,-1,-1,-1,161437,832655,799028,-1,616600,-1,396867,318937,935281,862176,938462,175883,910406,815169,481802,934392,-1,-1,485839,-1,-1,440967,934454,746495,-1,-1,199312,948977,-1,133850,105200,-1,-1,-1,-1,391080,-1,735521,522349,-1,583590,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,923780,712604,-1,105457,-1,-1,333638,-1,923500,744443,402157,484421,837690,987948,904027,-1,612587,824668,-1,-1,559206,105779,700906,911649,427866,-1,280389,-1,488870,-1,128156,-1,-1,-1,-1,-1,-1,-1,547050,962594,-1,-1,705973,321184,-1,792149,-1,582495,638176,836736,-1,619749,-1,-1,815426,347404,224381,-1,810438,-1,-1,-1,406873,-1,156739,-1,-1,-1,-1,746827,518061,-1,545369,-1,625956,876968,465421,-1,-1,-1,-1,-1,490788,564798,239936,113772,877392,803306,-1,608557,-1,621679,597783,221205,-1,787033,-1,-1,513387,542724,-1,676871,998992,628417,408121,-1,-1,883916,613836,410800,89156,-1,897591,-1,888911,376263,208602,-1,657785,173833,-1,108615,-1,964298,318093,-1,-1,424485,-1,-1,-1,-1,-1,930094,-1,558748,-1,564973,-1,-1,-1,-1,471971,306340,-1,690304,891003,670468,854888,-1,-1,-1,-1,-1,541396,-1,-1,512741,-1,213197,887571,-1,375779,344432,21447,188131,102957,-1,450437,7879,-1,-1,620128,802628,272649,-1,320976,-1,248605,409036,-1,-1,545674,-1,565202,817596,-1,-1,888348,-1,559896,-1,65781,318196,704898,-1,152640,-1,215566,652565,-1,596305,-1,911004,860884,296886,-1,481110,337318,537754,622767,718360,-1,-1,998019,-1,-1,-1,665985,211766,-1,563624,-1,-1,-1,681427,63794,356504,146048,295442,-1,-1,-1,835193,-1,854361,273761,514493,851442,-1,527923,881521,818760,-1,116184,898746,-1,-1,677343,743723,510163,-1,846124,-1,138326,335597,-1,-1,-1,193018,-1,-1,774835,-1,-1,169059,-1,-1,-1,-1,369496,555356,-1,-1,-1,-1,-1,70049,-1,-1,-1,882232,727019,-1,-1,-1,-1,-1,372342,-1,511052,-1,233945,673923,-1,-1,-1,-1,-1,-1,307626,396259,-1,590263,-1,443361,-1,787454,903012,-1,286034,-1,-1,341640,-1,235182,-1,799825,-1,833528,643011,184351,853649,630561,-1,870450,881225,-1,683194,72177,-1,591160,-1,441077,-1,-1,-1,-1,-1,211366,-1,303400,-1,-1,-1,-1,911644,589153,-1,-1,87055,921274,-1,-1,917956,427400,-1,-1,-1,237488,-1,336587,-1,559158,-1,-1,105774,760160,-1,-1,-1,99643,475749,939415,697531,-1,-1,59435,137108,-1,-1,385627,40709,-1,-1,364739,956036,-1,856013,290716,66151,993721,811818,981550,-1,274058,550127,400823,482674,99034,-1,937838,-1,-1,721990,958595,785342,575028,77936,947974,-1,-1,306051,-1,-1,-1,-1,265523,384806,540842,30075,857693,-1,-1,-1,-1,-1,268846,-1,998018,749907,42902,-1,508226,-1,842030,533539,315871,-1,439966,-1,-1,1223,-1,-1,355745,-1,978270,960107,-1,-1,879671,-1,836128,344603,-1,990500,973297,879156,-1,743592,-1,-1,657335,-1,-1,806588,960070,-1,-1,-1,-1,-1,384891,-1,566819,882691,131229,-1,301510,-1,-1,-1,968511,-1,501293,693990,632761,656467,868151,-1,818739,-1,458844,246529,28850,-1,605327,-1,-1,228712,318361,838479,-1,302719,-1,-1,854819,89870,465931,-1,824675,665344,82784,-1,-1,213407,652905,10751,-1,-1,958805,26994,397248,-1,603709,-1,403252,285571,814271,178795,197595,-1,-1,-1,-1,-1,9187,-1,-1,-1,270968,311264,-1,765532,458261,485387,801696,-1,992168,-1,765668,-1,568272,-1,-1,-1,770050,803906,-1,-1,-1,440638,-1,347262,515950,477643,755873,-1,-1,-1,-1,146397,-1,-1,-1,323697,-1,286486,-1,-1,406255,317241,-1,244132,-1,711571,719863,633250,-1,93555,608410,-1,-1,454938,-1,-1,323243,-1,-1,168538,-1,959496,-1,-1,91832,-1,900807,-1,-1,-1,614092,438659,935388,-1,848719,315888,-1,-1,-1,-1,366545,-1,-1,266162,-1,-1,-1,-1,926556,469180,591070,-1,-1,-1,-1,336242,90296,-1,-1,848065,619544,-1,-1,969216,-1,-1,323342,158537,587817,-1,-1,-1,66890,257449,-1,-1,-1,402383,905751,-1,-1,-1,663996,-1,-1,-1,807611,291723,-1,852882,-1,481961,-1,-1,-1,108157,27118,261298,-1,252618,434804,190542,619391,669255,553872,550303,-1,280807,444457,-1,369732,-1,673062,-1,-1,447956,875901,-1,425474,-1,-1,-1,-1,439952,-1,-1,490674,455777,412777,-1,638911,-1,175842,-1,190495,-1,-1,-1,-1,-1,-1,440129,547305,-1,-1,943304,-1,-1,-1,-1,-1,775674,194270,988176,-1,-1,295470,-1,-1,56931,147584,-1,-1,-1,-1,607442,-1,841503,818892,-1,962658,462322,260443,-1,842651,443454,831522,968011,-1,-1,-1,-1,-1,459649,196389,-1,-1,-1,-1,552576,-1,361421,-1,549600,-1,-1,-1,843660,134914,895941,-1,65971,-1,-1,511426,-1,122373,-1,-1,900193,-1,-1,-1,-1,-1,-1,-1,-1,538258,-1,-1,699486,479264,-1,30769,-1,815804,880342,-1,-1,896438,-1,304307,-1,-1,528625,234610,508425,-1,535134,248008,-1,358494,-1,787994,-1,492820,287437,-1,-1,-1,-1,-1,415542,688842,894326,-1,-1,-1,928082,275910,-1,-1,32834,118710,-1,923225,317069,448527,-1,-1,370491,463441,86000,-1,-1,913850,918862,-1,385426,-1,536827,420461,69241,-1,573644,31444,154018,-1,-1,-1,163911,-1,78893,532912,-1,-1,364400,-1,530229,-1,-1,113709,564696,-1,972372,190214,-1,544868,-1,-1,-1,-1,-1,-1,-1,84200,717279,-1,967702,495150,390394,162269,-1,796228,-1,738846,401110,-1,529996,657599,412894,-1,-1,-1,-1,-1,363485,-1,598652,713224,147934,757456,-1,82281,385063,-1,-1,-1,429387,-1,-1,642335,118837,-1,-1,-1,-1,-1,-1,-1,614284,-1,-1,-1,-1,691142,774075,57071,614240,-1,594998,741712,428796,-1,523197,807123,344044,189983,-1,10494,-1,588085,-1,-1,72337,-1,-1,-1,497427,973564,-1,276008,409806,-1,-1,-1,907976,586996,-1,-1,816739,-1,-1,-1,-1,-1,505151,921280,89036,862704,289603,157927,-1,-1,-1,-1,-1,657959,850224,727380,-1,847931,-1,240953,-1,752690,-1,-1,494019,-1,-1,-1,-1,537633,891930,-1,285430,-1,-1,-1,844273,-1,806421,-1,-1,313691,-1,112605,-1,-1,-1,843066,716510,-1,993535,27441,-1,-1,292007,813899,256461,62034,156772,547098,-1,84814,-1,913241,289544,927965,318926,929975,331928,-1,-1,-1,65730,-1,-1,-1,174322,504885,-1,652904,-1,-1,-1,271543,456737,879099,497970,-1,569535,-1,10214,-1,-1,438268,-1,727228,-1,728359,-1,-1,-1,37995,894754,-1,-1,-1,-1,874852,960370,782943,190193,-1,97881,623026,415234,-1,148893,54343,103634,414653,-1,-1,951193,187034,-1,-1,-1,378680,-1,-1,991747,-1,-1,-1,999988,221464,9435,-1,-1,476012,408756,135799,749425,965815,-1,909973,-1,-1,-1,756431,-1,-1,-1,-1,585560,-1,639966,552909,179940,-1,230906,-1,-1,-1,698817,-1,-1,-1,-1,611652,-1,25565,-1,980246,495490,-1,-1,178540,920728,420439,22979,-1,-1,149905,-1,-1,46652,-1,425065,-1,-1,-1,-1,78013,-1,418243,340038,-1,-1,-1,941164,-1,841634,242509,-1,940797,-1,854392,774103,847321,-1,-1,-1,902227,-1,485208,492391,-1,559600,-1,-1,801895,-1,339969,-1,334653,-1,-1,-1,606541,-1,312555,-1,-1,-1,875735,-1,-1,986320,-1,511751,549309,128863,897151,-1,-1,-1,834982,260039,-1,51018,89600,-1,14435,68058,247822,733443,808533,-1,775798,-1,486935,-1,73677,-1,609603,302738,-1,-1,946985,-1,931860,-1,-1,-1,-1,-1,102965,135648,98352,-1,-1,746052,-1,752829,-1,-1,-1,671915,-1,-1,980894,-1,199116,-1,93129,167467,316412,861393,-1,796321,640323,-1,552718,860873,-1,-1,-1,-1,903145,-1,656640,970756,172762,134231,35004,797156,811571,-1,28085,576673,-1,912961,-1,-1,57977,-1,724532,608642,431639,-1,229713,-1,994523,-1,771614,-1,-1,404775,399198,262784,342691,-1,-1,891495,-1,-1,-1,786503,614710,636562,-1,621373,775347,760475,-1,-1,399585,919499,-1,-1,-1,-1,-1,-1,-1,380813,-1,831500,837759,-1,486245,-1,-1,420417,836589,525041,791530,-1,904986,-1,-1,403599,186153,-1,489479,74011,-1,-1,-1,338415,56750,-1,-1,-1,-1,-1,-1,475656,361689,628264,-1,-1,-1,-1,-1,857721,-1,209141,747562,937064,-1,-1,-1,-1,-1,942633,739942,627856,-1,-1,-1,611196,196362,115978,-1,252037,890072,-1,-1,86991,-1,-1,393235,425222,805634,187774,-1,245431,219875,660491,-1,-1,767567,-1,-1,362270,-1,-1,971122,-1,-1,-1,-1,-1,-1,-1,-1,149722,597488,693107,-1,-1,452894,819324,516538,-1,308919,-1,-1,-1,-1,-1,339157,40760,-1,796380,972152,-1,-1,409768,390123,193722,844227,-1,-1,-1,-1,-1,563419,167185,-1,605990,-1,161090,41906,-1,207681,411582,-1,244224,-1,558178,78939,325445,-1,15558,-1,-1,554196,-1,775352,-1,598516,81171,-1,225596,-1,-1,-1,-1,-1,-1,-1,983894,-1,485847,224672,-1,-1,-1,-1,-1,-1,-1,-1,-1,891900,638253,782624,752468,577208,858686,835947,146801,-1,-1,-1,-1,-1,-1,-1,990781,-1,-1,-1,42389,-1,746704,913774,-1,-1,-1,62789,932386,2715,-1,-1,-1,-1,180419,16414,-1,715282,-1,837532,113333,110824,-1,-1,-1,783970,-1,-1,-1,-1,852079,-1,-1,903201,993798,-1,-1,-1,-1,514517,968753,-1,-1,-1,-1,-1,865014,-1,-1,-1,118002,748786,-1,-1,-1,759012,-1,696895,260081,732440,-1,396237,907405,270361,914570,-1,941893,-1,477655,-1,412510,449309,-1,647584,-1,-1,-1,-1,-1,17937,-1,-1,284642,123903,-1,-1,275491,-1,94798,-1,-1,-1,-1,-1,625324,-1,-1,-1,330751,-1,-1,458702,674540,-1,-1,-1,648452,452595,-1,488540,715296,-1,952743,12190,-1,-1,-1,-1,-1,-1,529013,939833,833861,415908,-1,-1,427243,-1,701882,-1,481744,918211,-1,963595,-1,-1,-1,484376,859410,-1,-1,-1,702914,-1,561791,-1,298322,-1,912592,-1,-1,-1,152466,498917,-1,129343,743642,494388,-1,-1,785707,559684,-1,827194,802170,910022,315840,251114,609057,-1,425287,718615,871451,804001,-1,-1,-1,446085,-1,-1,-1,330107,-1,372152,357456,155954,432636,33506,-1,-1,-1,-1,472650,805213,-1,-1,903518,-1,-1,-1,795645,243823,486607,-1,909587,-1,690992,659087,798788,423053,329691,-1,802035,146796,830537,521547,318693,-1,-1,655241,-1,-1,-1,-1,203832,-1,-1,983386,-1,-1,-1,330766,167178,-1,687017,-1,-1,380911,-1,-1,875705,38907,942346,-1,117112,-1,502959,-1,498107,316499,819469,748066,366288,-1,-1,-1,156478,-1,-1,-1,-1,961800,28736,838291,-1,681710,396920,-1,-1,658199,-1,-1,131575,-1,180346,-1,-1,252733,69208,-1,259982,981903,143388,759717,894243,838806,-1,891728,579721,332952,-1,-1,741151,62404,-1,-1,45386,764657,-1,435427,-1,123179,-1,105116,391698,629774,82635,-1,-1,278570,160762,-1,-1,-1,-1,463206,741945,425256,146463,643188,-1,-1,-1,-1,-1,149479,741533,-1,-1,-1,-1,750079,-1,-1,-1,137728,608152,651561,-1,-1,-1,107188,-1,852819,-1,-1,41591,827240,-1,-1,644375,651767,-1,-1,-1,875444,588579,-1,-1,-1,339848,-1,-1,575386,-1,117483,-1,-1,687486,-1,712751,-1,170551,897569,868826,318550,-1,-1,-1,-1,719896,-1,715081,809868,-1,-1,-1,319912,-1,-1,69567,32282,-1,454802,743689,796387,-1,98517,630355,173144,-1,-1,234166,-1,-1,-1,-1,805398,187789,659225,-1,904669,-1,125351,-1,476644,-1,-1,980453,822636,607105,200204,-1,569452,-1,579386,-1,606349,658640,-1,636222,533782,-1,-1,-1,53209,-1,549752,991648,-1,719352,-1,-1,20305,-1,-1,156349,661808,348178,-1,183768,93645,-1,-1,553106,834104,-1,-1,-1,101428,-1,-1,-1,588883,428913,859943,242290,40252,-1,345941,739044,93233,-1,956156,755526,-1,-1,-1,-1,-1,-1,-1,811774,419982,932300,-1,728189,48249,357889,360012,-1,-1,-1,-1,-1,-1,-1,-1,73225,981878,647763,-1,518446,403380,-1,618935,-1,-1,956354,-1,-1,790689,729783,762984,-1,315579,557151,801688,-1,-1,241003,174071,447415,-1,563495,-1,-1,475588,857891,998484,-1,107167,-1,3289,776948,-1,-1,-1,-1,-1,454332,-1,-1,413301,-1,-1,-1,4282,360298,-1,76921,-1,-1,794258,571741,-1,570574,-1,246206,823260,-1,799775,212798,926166,-1,-1,-1,-1,-1,878608,-1,-1,157396,-1,481859,615803,168271,45539,-1,-1,245533,718526,-1,-1,-1,869247,482234,974819,-1,594694,-1,728137,791753,-1,-1,-1,15470,989419,855085,79604,98591,976293,789695,772217,499697,-1,-1,-1,961098,-1,604036,430317,-1,-1,656906,-1,-1,111487,615391,853538,-1,-1,-1,880976,-1,204957,-1,393918,-1,17456,-1,-1,-1,424891,998404,204875,-1,-1,-1,202052,-1,-1,-1,-1,487515,836718,816632,17576,958985,-1,-1,287597,947349,-1,-1,708304,654260,315166,-1,817807,-1,-1,-1,151258,929710,915585,-1,732085,-1,889769,691417,861926,-1,-1,321186,166650,-1,-1,169493,657175,961685,-1,839838,153784,-1,926342,-1,505581,317690,-1,368734,-1,250329,812111,171119,901267,-1,-1,191415,793321,263922,-1,625825,79165,292008,-1,24109,-1,784152,-1,-1,5936,-1,-1,-1,-1,-1,110869,-1,-1,-1,-1,-1,-1,540,381298,-1,-1,160051,675361,592783,666988,244023,510065,26958,717516,145722,817637,-1,529431,829718,110859,915550,529303,-1,-1,42555,686035,460753,-1,-1,683864,605610,-1,-1,357751,825677,792786,-1,-1,-1,-1,365798,564590,-1,160560,-1,-1,684228,-1,-1,-1,490739,720716,-1,707038,-1,-1,-1,-1,504713,-1,-1,-1,873994,-1,964428,768228,-1,-1,-1,-1,797283,422783,963127,-1,783833,-1,74227,-1,508755,-1,922525,222717,-1,640397,-1,752721,-1,-1,903762,-1,155972,-1,751114,-1,754918,445929,219534,35584,-1,-1,134009,-1,-1,-1,-1,291149,41826,-1,799851,-1,-1,102778,507017,222007,743631,-1,881865,570035,-1,282072,359594,-1,984855,-1,262195,340143,-1,903823,460079,-1,980790,184957,209940,850184,-1,-1,385373,77517,622996,-1,387371,-1,-1,-1,697041,-1,-1,-1,-1,-1,929613,75070,123980,-1,-1,-1,-1,459614,984641,488292,164173,802744,-1,331524,603067,5703,132615,-1,106377,893837,-1,-1,-1,-1,-1,39491,502494,631862,-1,286189,430226,-1,700316,243302,460269,691119,104427,958490,11523,-1,-1,221000,-1,-1,-1,779538,731240,-1,-1,57118,759188,453202,-1,-1,-1,383294,317750,832160,227264,-1,240433,-1,-1,931512,381574,258979,829330,-1,931593,410698,424160,-1,938755,940136,136315,-1,975181,-1,297232,147981,-1,-1,477249,-1,-1,-1,-1,-1,-1,-1,278461,327572,-1,436899,897068,509624,-1,-1,-1,224658,781629,447067,-1,-1,968219,-1,509825,242893,-1,-1,767686,-1,555974,459864,87589,158984,4984,789417,89327,-1,354178,-1,974204,300048,16374,119714,-1,-1,-1,888259,958298,87118,419342,-1,-1,748957,-1,903271,164047,-1,-1,-1,-1,24020,-1,532215,-1,918580,238875,-1,-1,-1,423471,-1,-1,-1,45098,-1,766874,283179,-1,-1,272541,-1,997934,426821,-1,-1,298544,955376,-1,925461,-1,-1,806777,-1,-1,-1,550491,-1,682266,345616,478054,721711,650058,236087,-1,-1,980754,-1,-1,834803,273172,106882,-1,599788,230621,620492,-1,304229,101570,581207,738009,-1,-1,-1,-1,358873,905387,-1,102290,411522,-1,594468,707238,366611,627519,607310,-1,814001,870506,-1,982783,143527,-1,91160,278554,267227,892310,-1,-1,962695,601762,-1,349735,654346,-1,-1,595345,837745,-1,253339,-1,-1,-1,-1,103980,-1,181084,635456,-1,174080,-1,-1,138163,789416,824164,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,632187,950312,-1,671061,682311,-1,-1,671377,447375,859730,-1,-1,197468,-1,-1,573330,-1,205592,-1,418782,727694,349668,-1,227514,43875,221662,695171,21463,-1,-1,434022,-1,946616,66871,-1,-1,-1,-1,482940,725063,687112,-1,-1,804822,-1,716918,-1,-1,-1,-1,172192,-1,-1,285203,212747,-1,92949,747763,403280,-1,-1,-1,760498,-1,301735,540521,990619,203840,542037,-1,-1,-1,891155,-1,981818,225772,136196,-1,498692,-1,855863,780955,-1,-1,-1,43063,-1,635341,-1,216778,-1,-1,62743,-1,-1,-1,-1,-1,772992,357701,-1,940243,800081,-1,450211,496456,-1,732447,-1,737593,92192,447436,831404,64647,311159,-1,498340,126429,468764,233487,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,86381,-1,975173,969208,27177,-1,561,-1,434890,431340,-1,-1,332836,581183,484650,-1,693193,34505,176644,-1,-1,-1,593338,245480,8915,541445,803450,171685,627870,-1,405809,-1,-1,-1,-1,-1,-1,-1,697326,-1,427310,168431,-1,-1,450875,923020,402399,415960,82120,74198,172793,-1,82441,-1,-1,560072,145180,-1,-1,-1,500591,-1,-1,-1,291531,300100,-1,-1,-1,270024,766071,780427,980388,-1,-1,-1,-1,338252,-1,-1,-1,914774,654453,-1,-1,653134,-1,251865,919649,93400,372548,178142,50056,862396,518950,-1,404797,-1,-1,-1,438103,-1,428406,-1,398492,-1,926160,-1,-1,328200,814826,-1,653175,232571,716211,-1,-1,-1,-1,-1,-1,-1,915134,99451,553104,304829,-1,237910,-1,199819,-1,-1,-1,-1,915497,-1,-1,-1,-1,820907,321408,805821,-1,140992,220615,234707,875861,-1,981388,238024,-1,176174,116675,-1,-1,959305,-1,-1,693325,-1,821334,-1,-1,-1,-1,-1,-1,-1,544691,546315,3131,-1,639556,802502,526174,836517,442540,-1,77400,-1,-1,-1,481549,-1,-1,980083,94163,892715,-1,702082,-1,868948,-1,-1,-1,459131,-1,-1,748697,722673,271339,149367,-1,-1,-1,-1,-1,346559,170857,7011,-1,-1,-1,-1,434268,-1,412699,365133,40636,263907,-1,810148,-1,969727,-1,152628,961224,-1,-1,-1,448836,63747,-1,-1,264270,298293,393742,651039,-1,148372,813686,142860,714643,537654,140650,-1,866247,-1,-1,-1,-1,-1,-1,436080,318908,-1,568313,-1,-1,-1,865526,-1,-1,641247,101729,126707,114188,253935,-1,439052,39927,889332,636704,-1,272312,89761,-1,551409,-1,-1,-1,-1,38727,281465,807347,-1,305245,840578,732963,-1,490346,-1,-1,907496,649455,645986,-1,-1,2005,596103,209086,179930,472694,-1,370684,-1,501124,439745,-1,-1,-1,558750,-1,461058,-1,255464,-1,522684,887445,-1,-1,894657,703850,502779,-1,792694,-1,778586,810173,-1,518892,-1,901392,810510,415922,712874,-1,-1,-1,693508,365786,-1,131048,-1,751676,729538,-1,321921,323745,361205,-1,728239,67659,-1,-1,-1,-1,343622,781294,319491,-1,810598,-1,-1,428495,646780,-1,319803,819759,586268,-1,-1,431972,613099,-1,254245,-1,-1,596334,906495,752776,-1,647499,445669,-1,-1,788398,149081,507517,601701,526272,294396,-1,629951,-1,591613,-1,-1,893947,202308,-1,602512,-1,-1,102920,-1,-1,670786,-1,772564,-1,-1,-1,-1,778564,449036,-1,-1,-1,-1,-1,878810,-1,-1,104902,450988,806232,894928,375654,-1,-1,358840,-1,-1,402712,273514,817471,504178,882765,716183,584315,17631,316436,-1,-1,448439,-1,179481,-1,752272,854629,-1,74844,838632,348147,-1,-1,678286,-1,547710,429815,148544,-1,178097,516134,-1,464026,-1,33132,617807,-1,577980,-1,-1,-1,191954,420602,-1,-1,-1,899506,-1,-1,-1,-1,904143,-1,2583,-1,-1,381470,768737,872875,780869,-1,-1,2855,-1,124410,-1,207691,-1,-1,486880,574818,-1,167034,948209,-1,10941,593609,515329,-1,622476,-1,-1,-1,-1,641127,316665,-1,-1,151975,887157,-1,70595,-1,633756,370082,-1,702675,-1,164018,376358,-1,-1,-1,-1,414126,136217,763143,525181,738855,966700,-1,-1,-1,190264,-1,867812,932609,735838,-1,-1,-1,172937,-1,329059,625886,403835,-1,569383,409510,-1,-1,-1,-1,-1,-1,-1,699484,500480,-1,601077,-1,-1,-1,-1,-1,-1,-1,-1,634550,-1,-1,-1,-1,505275,727511,-1,-1,691866,536825,770548,-1,421122,714612,-1,-1,-1,-1,-1,-1,592747,-1,-1,312899,914097,-1,-1,47900,-1,654820,-1,259879,774353,472583,769721,625103,-1,-1,-1,-1,21911,791602,562016,147146,808695,471628,-1,-1,-1,-1,-1,-1,-1,-1,482378,339351,-1,-1,-1,-1,928543,-1,-1,696865,186017,-1,-1,518636,-1,-1,-1,-1,836448,-1,333990,-1,-1,674513,796103,88208,922877,-1,-1,-1,-1,-1,650633,-1,387376,984116,-1,-1,902400,897803,-1,-1,-1,-1,550472,207064,227958,-1,154880,-1,-1,-1,276066,-1,13692,-1,282628,353312,-1,-1,573950,-1,308419,312823,518106,-1,-1,-1,-1,567014,349930,5077,-1,580967,339820,-1,-1,-1,-1,61727,-1,142333,-1,855769,122648,605321,-1,-1,101458,808907,-1,933934,514465,255455,-1,-1,619915,133987,311572,285185,896049,-1,-1,-1,269994,25998,-1,324545,-1,-1,-1,-1,874728,137349,834041,66823,-1,-1,362645,521510,-1,-1,992451,136875,991878,658024,847446,542229,-1,-1,-1,103502,-1,351765,-1,852755,-1,-1,-1,-1,-1,-1,708988,791261,466192,-1,912137,-1,-1,-1,-1,-1,423688,874269,-1,-1,-1,-1,-1,115573,352524,62018,-1,-1,-1,-1,495399,526733,720341,-1,994349,790068,-1,-1,887992,855770,-1,-1,-1,621765,-1,44474,-1,203104,-1,452684,944449,-1,639032,-1,-1,-1,-1,321519,751923,-1,393775,479807,479867,-1,-1,590873,805540,239280,-1,604106,-1,1445,-1,-1,-1,663341,-1,-1,-1,42833,480980,-1,-1,619221,-1,-1,-1,-1,185531,200826,684363,-1,-1,430014,-1,456692,669336,-1,-1,484765,-1,342781,249634,-1,73678,-1,-1,652380,-1,-1,-1,361533,-1,-1,204393,-1,672322,-1,-1,906421,-1,-1,750626,-1,471503,-1,852616,41514,-1,-1,-1,-1,571189,895832,908363,929563,481530,-1,-1,636064,865711,132372,-1,117615,174487,-1,788356,-1,-1,315327,-1,954341,401897,-1,442612,-1,783376,-1,37985,778720,-1,904331,170133,-1,407836,-1,-1,297449,85470,-1,362554,-1,-1,-1,834783,-1,736278,869803,-1,-1,-1,869079,-1,464625,991276,49101,-1,225620,858361,-1,843057,697768,47324,-1,-1,-1,973275,664573,67898,795353,-1,726701,-1,767128,237136,323214,-1,577257,-1,471157,-1,435401,-1,414602,412721,-1,-1,-1,-1,750238,-1,101808,-1,-1,-1,-1,612236,-1,-1,363830,-1,-1,-1,-1,-1,-1,-1,789111,-1,159949,492236,-1,-1,-1,710039,-1,425348,-1,-1,-1,945202,100370,-1,-1,-1,705516,230335,556655,720759,-1,-1,-1,-1,453777,-1,-1,-1,-1,360710,585185,-1,-1,516775,906302,904814,-1,507034,13057,453859,191750,-1,-1,-1,-1,-1,141574,-1,-1,473152,683798,-1,-1,837089,-1,435348,116946,438913,-1,-1,-1,-1,495974,-1,208305,507815,-1,437079,-1,727039,833988,-1,359148,304908,684558,-1,977663,-1,-1,656938,747384,-1,32938,-1,-1,587429,-1,666201,-1,-1,-1,796790,310071,803631,-1,901174,640544,855992,-1,-1,945490,-1,708485,-1,709808,-1,-1,151500,-1,942845,432912,-1,519215,-1,-1,560910,-1,79941,-1,-1,-1,608161,-1,-1,-1,113048,-1,-1,-1,-1,-1,687103,538042,296069,-1,-1,926698,184722,-1,160683,455578,-1,386291,-1,-1,-1,305435,53536,672259,-1,-1,-1,802278,7223,218255,535929,-1,900257,278041,689860,-1,-1,158457,-1,-1,752455,-1,438933,-1,-1,-1,747887,469234,661204,146795,216642,-1,-1,-1,269184,-1,-1,441343,-1,797786,525843,428911,-1,923101,467057,529337,-1,-1,556621,-1,332273,-1,810324,-1,603095,-1,115843,634357,-1,-1,988729,-1,-1,962200,-1,-1,-1,438929,803890,-1,-1,273216,57236,32017,705396,395822,529518,-1,-1,324773,-1,-1,-1,-1,72117,392762,706495,302145,-1,541643,78603,-1,-1,266884,199977,-1,276108,606250,626796,279911,-1,296850,-1,-1,367738,414627,-1,-1,795643,-1,-1,-1,743645,217670,-1,219170,-1,592048,-1,518646,-1,263628,219251,460054,-1,95089,95996,461896,-1,-1,653653,518423,828882,576555,-1,-1,-1,-1,292414,-1,124131,552669,-1,-1,-1,-1,778111,-1,930316,-1,-1,79389,-1,943701,774204,-1,312657,-1,789180,-1,734546,231167,-1,-1,-1,-1,-1,-1,-1,592403,-1,296167,634271,-1,-1,-1,663118,455310,917011,-1,313614,595012,834116,50962,453192,85900,287525,-1,-1,-1,578810,914113,-1,635615,-1,-1,-1,189407,-1,820258,721934,-1,137360,-1,-1,322739,-1,207547,682588,-1,675311,-1,170897,288445,372164,178120,-1,183438,845915,738058,-1,295699,659392,-1,283755,-1,-1,-1,713116,138397,9032,65739,455829,-1,521773,962687,82610,-1,628348,970028,448693,-1,-1,-1,754735,-1,284154,923970,-1,-1,-1,-1,491727,145794,39312,880203,22858,-1,-1,784659,-1,767095,-1,959382,-1,-1,-1,-1,617901,-1,301690,144134,-1,14866,692086,-1,-1,-1,973165,15342,-1,-1,350271,958407,218252,-1,711694,-1,-1,362790,-1,133611,581258,-1,979013,91515,735502,-1,-1,-1,303504,259909,-1,569818,676268,602749,-1,-1,942884,255325,-1,655544,-1,133057,-1,-1,83297,818056,-1,299645,-1,514983,-1,299584,177487,-1,-1,150139,-1,-1,-1,-1,143086,602405,-1,442170,-1,335629,-1,542449,-1,868638,786337,-1,297997,460900,-1,905381,-1,-1,619311,-1,788401,116199,940163,75141,-1,-1,814815,-1,133889,385759,-1,652310,-1,700009,-1,-1,580376,756222,976831,636745,-1,664109,889628,753036,-1,817442,-1,-1,-1,-1,-1,9600,-1,-1,149880,508715,314447,238238,667215,742824,-1,302728,712619,341970,418416,-1,562599,889290,-1,81757,92308,339889,-1,-1,-1,917585,846643,135253,-1,340222,-1,-1,-1,-1,471749,68680,-1,-1,-1,745228,599524,-1,6022,-1,-1,-1,-1,-1,-1,33916,-1,191574,-1,-1,-1,-1,523008,75268,279547,-1,603335,-1,-1,162369,-1,-1,345549,-1,-1,-1,-1,-1,-1,-1,164175,254505,-1,11393,-1,-1,106262,385685,-1,610399,251197,958404,66098,-1,57172,-1,302517,-1,-1,-1,-1,-1,406658,-1,217915,-1,36962,-1,-1,-1,849375,-1,509936,291553,24849,793765,-1,215949,-1,-1,639492,755438,-1,996971,-1,-1,-1,-1,-1,157353,-1,-1,122314,-1,790664,-1,848312,-1,593534,165209,319472,-1,-1,259386,980228,616003,176283,103013,428082,-1,71945,-1,793443,-1,915026,149072,843149,149965,977007,-1,734209,-1,331852,-1,517967,-1,-1,722342,654003,136543,-1,-1,-1,384988,-1,-1,338333,-1,-1,968310,976347,179096,-1,861283,-1,-1,138842,590157,-1,221685,-1,-1,-1,878596,-1,-1,-1,-1,-1,-1,866237,-1,-1,593647,-1,519623,-1,-1,-1,952074,500434,-1,53416,-1,910233,356101,-1,-1,-1,-1,377819,-1,-1,-1,610435,342370,-1,-1,-1,20812,-1,834726,159915,-1,-1,475488,-1,-1,324208,315794,-1,405308,-1,524436,118072,-1,779796,-1,-1,-1,722902,985207,-1,-1,443525,-1,39876,787524,236455,-1,545214,549010,-1,917455,-1,-1,659541,795192,89959,-1,798090,384040,60815,775327,-1,-1,-1,798314,-1,354972,337661,577218,204696,-1,935881,78462,303171,418511,-1,-1,992847,-1,-1,-1,-1,-1,-1,485316,580584,159164,812485,-1,256359,635221,823480,325449,281712,-1,-1,922250,-1,-1,-1,-1,-1,617935,159167,-1,945653,426809,47235,825030,132729,-1,-1,862430,680974,-1,623749,-1,-1,-1,-1,603649,-1,-1,-1,-1,-1,754451,906439,-1,604933,-1,646748,-1,912468,-1,-1,960970,807445,864167,965306,337528,989861,408500,-1,659456,395731,764847,40492,-1,737275,-1,-1,367017,-1,721155,-1,-1,423091,162875,-1,-1,-1,991110,-1,624106,490806,425628,-1,-1,-1,-1,886769,-1,230410,-1,908981,982798,536013,-1,112138,373368,911212,491815,-1,199171,313059,927720,321889,-1,589804,-1,-1,-1,954948,505322,-1,-1,-1,-1,752544,465796,-1,925813,749686,-1,694073,365038,-1,231224,969062,482017,-1,685237,406487,-1,-1,68492,-1,383941,-1,-1,227217,-1,130773,451582,350997,-1,-1,747507,570871,-1,253635,-1,934866,-1,897389,-1,-1,-1,935351,-1,262757,-1,-1,-1,26112,-1,-1,718370,263292,6509,164335,-1,-1,411766,50382,-1,760177,694406,-1,-1,-1,297977,-1,948683,-1,-1,-1,321169,-1,420567,765571,-1,922272,-1,-1,595006,-1,-1,-1,409788,20282,816911,319645,430253,-1,854088,450886,-1,-1,91469,-1,810017,-1,844520,-1,-1,982918,811192,522796,-1,135611,-1,-1,-1,-1,628169,77926,-1,-1,-1,983490,-1,45725,-1,455523,486827,705010,199527,432834,690904,-1,-1,250551,19816,-1,895969,140935,225839,-1,-1,-1,520884,454557,259275,-1,-1,-1,-1,923142,-1,111337,220693,29470,-1,648618,-1,-1,225976,-1,632358,-1,-1,-1,883404,-1,-1,431842,376805,165420,551597,483882,725943,-1,-1,601517,638608,701365,333783,670610,-1,963855,626000,-1,426154,-1,874077,-1,783551,187566,473709,685200,974283,-1,-1,-1,774588,-1,32993,151030,-1,277374,-1,-1,-1,-1,456885,883891,-1,557165,-1,-1,921960,549218,-1,445605,447614,-1,-1,535445,642202,-1,-1,-1,848168,-1,-1,-1,582887,752172,-1,-1,767864,-1,733624,990839,669070,377618,453740,-1,-1,-1,-1,-1,649521,859584,-1,867003,484099,-1,141729,281836,631179,653186,711618,935144,-1,241893,875278,-1,240729,657363,-1,453421,395399,-1,-1,285238,160543,-1,-1,118517,-1,-1,-1,102167,-1,827079,-1,13340,-1,-1,362164,-1,-1,389208,-1,-1,323581,-1,-1,88341,982973,157425,-1,-1,-1,-1,441282,-1,-1,287081,-1,-1,-1,444982,958394,-1,-1,-1,825107,106443,-1,511651,980427,-1,-1,-1,52650,52486,-1,286504,191787,561336,-1,971085,299056,-1,415453,-1,25856,278112,-1,422229,169452,-1,-1,702199,235020,-1,-1,627147,-1,909013,752116,685779,-1,-1,699263,834911,519326,453902,-1,640634,-1,248479,-1,23322,398042,-1,999230,710539,-1,149591,-1,934761,-1,650332,929096,538432,52387,-1,-1,-1,-1,-1,802850,-1,-1,-1,393050,723222,-1,-1,-1,246219,-1,-1,-1,-1,-1,704008,-1,-1,188669,-1,-1,-1,770327,-1,-1,597569,500722,-1,-1,-1,971999,723627,332382,-1,-1,-1,-1,-1,-1,-1,962759,826347,124196,481887,-1,328372,-1,703201,602278,-1,802598,-1,630993,755785,515981,-1,65390,431272,-1,857457,613127,-1,-1,655797,-1,865969,-1,-1,-1,-1,547005,763167,83091,-1,219310,-1,-1,38363,-1,-1,-1,581024,228463,-1,-1,-1,-1,-1,352133,313261,-1,488482,592773,-1,-1,-1,251719,350785,-1,-1,-1,-1,-1,672184,900219,346885,-1,156318,-1,-1,-1,-1,320744,651264,860381,-1,-1,465113,16404,-1,182511,-1,619205,-1,-1,391440,-1,-1,617588,-1,-1,625835,315441,907085,-1,248803,-1,561771,208860,432756,-1,-1,685663,-1,-1,-1,-1,487224,-1,59952,876471,-1,920328,607344,576629,-1,-1,881481,349784,-1,-1,-1,390278,982554,553867,854448,-1,-1,80060,-1,-1,375665,981804,-1,22840,-1,-1,-1,-1,-1,-1,96163,-1,765252,-1,343718,-1,740041,745748,-1,-1,-1,-1,407927,912525,-1,799420,665755,98183,555660,-1,277188,-1,915353,871057,754022,273593,411323,577223,791554,402520,615366,-1,-1,-1,-1,531061,-1,257403,109455,680024,590958,706161,845941,-1,-1,-1,-1,871761,489226,386066,40951,385075,-1,486981,-1,-1,-1,-1,-1,63121,783619,303576,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,140287,-1,-1,-1,779993,484229,602070,-1,557160,-1,-1,212557,303291,444659,895637,656899,174578,-1,538392,-1,-1,-1,400207,326924,-1,-1,-1,-1,-1,301103,61502,-1,216699,-1,623505,-1,-1,-1,286001,-1,-1,-1,-1,529827,-1,988935,887172,971099,-1,566128,729653,530755,588174,986293,-1,-1,-1,817038,326766,227851,-1,126458,56874,-1,-1,-1,-1,984090,996819,100886,-1,-1,-1,667381,103377,484063,286942,513153,742882,667263,-1,-1,-1,105470,-1,81994,-1,-1,-1,15830,590360,-1,-1,-1,-1,-1,305550,251784,-1,-1,483472,633910,928586,83001,-1,-1,-1,-1,-1,-1,75523,-1,784081,11701,833568,225912,426219,-1,-1,-1,-1,176030,-1,194383,-1,-1,-1,982276,574555,-1,-1,774025,-1,-1,-1,-1,829770,-1,979122,14499,-1,-1,366239,826507,-1,-1,-1,-1,-1,641538,667046,-1,-1,-1,811972,-1,785584,759450,929459,57684,-1,740894,741709,-1,-1,-1,752502,753646,91779,-1,640436,569480,11727,-1,753010,-1,-1,620854,456825,654452,306974,976541,-1,206481,-1,-1,-1,-1,-1,186227,198777,725173,-1,475142,-1,327145,470067,729529,-1,-1,-1,-1,-1,-1,102244,939086,328473,-1,423257,-1,848945,206594,737933,729278,-1,-1,-1,-1,-1,63601,981888,533244,211753,-1,18073,605494,-1,484569,421309,-1,-1,303831,759541,130735,-1,12561,-1,-1,-1,98759,206341,471056,141326,865955,373706,174888,-1,249431,-1,-1,-1,-1,115842,-1,-1,-1,-1,-1,-1,54833,-1,850982,48219,305616,-1,390014,-1,535759,-1,195725,149527,-1,550043,443128,35695,222527,-1,769024,-1,-1,201462,304701,539635,-1,614845,-1,-1,-1,749000,412876,393476,140648,650156,282643,-1,24314,-1,-1,-1,906007,224495,-1,118320,953540,653395,-1,713793,-1,-1,439215,194462,996672,-1,-1,-1,147591,772189,473942,138729,-1,-1,696689,854690,244400,147455,-1,-1,-1,-1,4585,-1,-1,-1,-1,-1,-1,-1,227824,465954,572852,-1,-1,820460,511784,918090,-1,-1,181362,-1,598781,905193,483661,787202,-1,134057,-1,-1,770396,80959,740311,-1,736197,-1,346082,17682,868284,-1,-1,859093,-1,-1,624204,-1,-1,-1,553962,-1,812600,786891,462455,13708,288087,173043,-1,387999,32822,268658,-1,786068,50554,208757,-1,-1,417542,-1,-1,756755,459752,423826,-1,569620,310801,-1,-1,571760,193117,89381,-1,806538,-1,165277,-1,-1,-1,-1,-1,-1,-1,647697,472338,-1,114898,-1,685490,-1,745780,-1,195629,534307,-1,299092,-1,661339,-1,-1,796470,822011,-1,711001,780299,-1,-1,-1,-1,248778,577136,998355,-1,65398,59767,867998,266307,-1,-1,298030,-1,588123,-1,-1,20362,980852,390580,624987,931461,-1,-1,211718,-1,556552,-1,569307,970080,399863,864837,-1,-1,133384,-1,539009,-1,977981,763028,480132,-1,564738,-1,-1,265622,159208,969873,-1,-1,-1,-1,837861,-1,50070,488034,903507,-1,-1,851748,-1,-1,907848,-1,-1,17274,175482,-1,-1,980699,589408,-1,446999,779113,-1,280547,-1,417974,442873,529691,199114,82171,-1,19381,385402,-1,786176,568291,477932,-1,-1,886549,-1,-1,188270,844254,-1,146083,684300,406373,-1,-1,372675,-1,169383,-1,-1,-1,-1,-1,854686,-1,-1,984833,-1,392501,-1,-1,-1,888114,802582,744108,233458,30256,-1,407393,755700,95703,-1,656737,-1,-1,-1,444234,51073,-1,135925,742869,300303,-1,-1,644893,-1,850594,-1,233097,-1,488199,-1,-1,-1,687637,-1,-1,-1,-1,625525,-1,-1,-1,-1,-1,-1,-1,195684,290495,510575,335794,822282,-1,-1,-1,606451,-1,496442,-1,-1,833700,-1,919083,171055,-1,-1,327354,-1,-1,-1,324254,639083,739233,-1,-1,385038,52829,233181,458275,101519,-1,885416,-1,-1,535318,-1,900081,457402,636941,-1,931221,-1,973954,137437,518480,147673,309536,660873,532247,-1,924125,-1,622482,-1,462070,-1,466954,-1,-1,820315,-1,-1,-1,-1,390117,-1,32537,428202,559274,-1,97814,428357,370158,-1,-1,-1,-1,-1,-1,932911,149951,-1,682451,-1,996025,-1,-1,-1,842503,48812,-1,665204,781577,59434,944683,-1,950129,-1,-1,-1,421996,-1,554962,-1,935050,770956,863982,-1,-1,-1,723515,523257,-1,-1,-1,7277,171482,-1,2997,193063,-1,-1,323254,-1,942227,-1,767874,-1,259759,910674,743464,-1,-1,566999,542991,90500,832194,-1,619416,-1,789868,-1,30468,391337,-1,128312,-1,-1,-1,-1,507612,602959,-1,827282,-1,522263,444032,-1,917746,539380,-1,61503,-1,208728,171683,-1,358490,-1,-1,-1,245028,-1,-1,-1,994616,580219,837258,983522,-1,607580,-1,-1,16097,925925,477036,433353,864452,1928,-1,693342,-1,48297,-1,157717,801135,373869,819407,-1,-1,895422,-1,-1,198952,-1,-1,10160,-1,-1,103665,744370,416207,-1,62309,-1,490160,-1,931787,-1,-1,483678,260868,421960,522502,935600,741335,745511,100386,-1,-1,714997,-1,-1,149332,-1,535453,-1,-1,-1,668229,15386,-1,633205,-1,968475,-1,-1,-1,-1,-1,167679,467922,-1,-1,-1,982698,143864,359748,-1,-1,99423,685221,-1,676518,-1,-1,744587,92091,-1,-1,-1,925718,-1,520304,-1,123899,652974,-1,340852,-1,793126,66928,284293,-1,-1,-1,661516,-1,-1,-1,65002,791401,-1,-1,-1,-1,-1,118035,563837,-1,259213,684876,-1,297578,-1,577448,-1,111199,631289,-1,201159,53992,-1,186213,542171,307159,254969,575690,251236,22087,142351,513616,-1,12127,-1,-1,541086,49807,36048,858899,-1,-1,289100,814774,108680,-1,-1,-1,-1,58199,-1,-1,743615,7346,-1,864297,-1,-1,274744,-1,-1,79951,-1,-1,343092,-1,-1,-1,853408,-1,-1,-1,-1,-1,336899,843729,-1,-1,105793,957813,345115,-1,233615,-1,909298,100119,227344,436482,751629,-1,-1,-1,279956,760705,658444,-1,-1,-1,854534,-1,715661,-1,-1,-1,-1,-1,-1,317950,434043,589078,907492,-1,245957,-1,-1,741240,-1,-1,-1,-1,997060,605792,-1,909414,672612,931149,586092,-1,-1,434937,393491,-1,-1,6382,-1,-1,-1,36668,-1,-1,376050,317093,-1,-1,-1,975927,946158,-1,-1,381907,600300,-1,920727,-1,-1,-1,785326,399285,-1,-1,743227,-1,909623,-1,-1,470949,837160,444913,-1,-1,-1,774920,123763,-1,-1,712754,16400,-1,-1,861884,21118,-1,596819,582932,237010,-1,-1,-1,-1,156883,-1,-1,-1,-1,-1,-1,-1,-1,278004,368013,-1,359744,86204,718421,-1,973032,85390,-1,-1,552936,-1,-1,488134,838197,74961,867625,-1,343694,-1,-1,-1,-1,-1,559163,575683,515954,-1,162896,-1,674960,-1,498506,-1,-1,-1,723971,-1,474188,-1,643920,-1,219991,-1,223162,-1,-1,449494,305341,587563,-1,-1,-1,599581,912433,-1,-1,642302,-1,276404,475542,-1,-1,-1,-1,88194,241162,-1,76933,931234,988482,385872,-1,653450,923877,-1,329552,-1,-1,-1,-1,743332,-1,-1,13034,166298,-1,985961,-1,-1,-1,-1,291549,-1,469839,595671,-1,-1,129800,155663,-1,716208,714302,-1,700926,-1,-1,22237,-1,972676,-1,847877,-1,-1,-1,-1,503055,185332,-1,-1,-1,55985,458472,-1,742887,-1,942153,405513,-1,-1,731930,33872,-1,105921,-1,629486,454598,-1,195853,-1,-1,865684,659420,-1,-1,-1,-1,633156,77530,233598,-1,-1,992182,-1,-1,686192,350492,-1,714987,-1,-1,187072,-1,954164,738350,373687,-1,-1,-1,-1,-1,890881,804634,751120,836974,916974,-1,-1,728262,471998,-1,144105,-1,24517,-1,544054,-1,-1,901876,-1,-1,856171,781527,-1,-1,-1,276670,987191,466174,812823,990967,-1,-1,355101,-1,-1,410823,-1,343595,815346,-1,-1,330229,-1,838814,-1,-1,767204,937781,125642,-1,-1,507310,200554,314616,438513,-1,425567,591493,-1,763416,-1,-1,289812,535147,-1,435083,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,105781,877113,640401,380565,159553,-1,-1,555443,136580,-1,-1,217303,-1,-1,871420,-1,454559,-1,-1,724403,938165,732640,-1,-1,-1,392408,-1,-1,-1,-1,-1,311178,-1,546072,704190,-1,-1,344413,607025,-1,-1,-1,683725,-1,-1,-1,-1,-1,207863,780957,-1,558850,498257,195478,40518,-1,-1,497271,459885,635461,448618,-1,783072,-1,-1,246506,-1,942516,577730,411352,933532,-1,-1,772980,-1,214122,375411,-1,-1,678563,471279,193297,-1,586430,313094,552768,-1,-1,-1,-1,-1,-1,-1,-1,193892,-1,919360,-1,-1,-1,-1,861345,-1,-1,-1,883399,-1,-1,415969,-1,-1,-1,557218,-1,536483,40000,-1,183511,97927,26141,-1,-1,421426,-1,-1,533952,333208,550140,-1,834995,589009,815860,-1,575578,659444,861589,115282,37444,169515,424370,-1,-1,881173,-1,963828,-1,21717,188762,-1,158161,-1,907905,889669,-1,827375,-1,990852,616923,-1,-1,-1,-1,-1,-1,591372,37599,-1,-1,116684,664939,324993,222111,-1,195448,-1,376081,784645,-1,443267,284587,-1,603790,474620,-1,-1,-1,488620,217412,968944,872099,-1,-1,-1,-1,566041,-1,-1,310334,373865,894851,665619,448195,920573,-1,633804,-1,915824,476878,958332,-1,618738,723266,-1,-1,-1,-1,413417,-1,852375,-1,-1,993310,-1,-1,137418,73824,144038,-1,579329,747719,807617,-1,-1,-1,-1,277454,856336,-1,874204,332168,594186,358135,-1,579011,-1,-1,944729,159422,-1,-1,770469,117155,250143,823900,654211,-1,217983,493235,-1,-1,884247,113406,-1,428009,311044,446353,890723,-1,-1,109437,25171,834324,801398,192032,117797,-1,-1,-1,-1,-1,653584,112068,-1,105432,949607,804806,921921,-1,709620,725959,-1,-1,-1,203265,-1,-1,-1,603739,-1,774462,228461,-1,926127,970791,367428,482953,-1,-1,-1,-1,187191,16173,859910,643676,47679,719329,-1,-1,-1,-1,-1,-1,468597,-1,-1,-1,474166,-1,-1,-1,741284,-1,-1,-1,-1,-1,-1,-1,4113,-1,189447,-1,237924,-1,-1,-1,458776,-1,691786,-1,614457,-1,-1,-1,-1,-1,-1,420323,95518,-1,-1,871788,422496,757321,900494,365494,-1,-1,929181,985855,-1,816557,-1,966618,897213,-1,-1,229504,480734,-1,8521,-1,497939,572532,-1,582231,-1,-1,-1,39186,-1,651651,-1,-1,-1,327732,-1,-1,889465,-1,-1,-1,204065,534391,-1,779977,525806,-1,-1,671858,487460,923428,-1,641066,413187,360057,-1,-1,592980,988773,534549,-1,863543,-1,-1,287832,152932,804148,944661,-1,198989,813260,825204,145581,581691,-1,-1,273534,-1,188836,178608,-1,116982,528041,262369,975322,77124,-1,581209,472654,-1,739518,214241,189076,-1,136630,841705,566763,-1,176959,-1,-1,-1,322880,32376,-1,140736,395976,-1,898955,-1,120048,-1,-1,-1,690381,-1,-1,-1,-1,-1,706113,-1,991886,859362,-1,-1,134844,-1,-1,-1,-1,817518,633094,-1,-1,463476,346983,318735,-1,-1,-1,-1,385360,411119,-1,945853,477943,-1,868020,329488,294633,-1,-1,543270,-1,268866,-1,730554,408065,385798,-1,-1,-1,486591,-1,-1,711787,966254,955534,-1,408878,991014,-1,238464,-1,658203,-1,-1,31708,-1,632464,-1,791655,508244,-1,714426,106878,-1,835631,-1,269365,24502,-1,208732,706921,-1,359779,-1,-1,278814,537452,-1,307833,-1,709601,-1,-1,723398,272671,366917,518388,-1,680985,39360,306363,-1,-1,214801,503770,-1,-1,-1,-1,-1,512515,201537,-1,-1,368542,78836,52873,45339,-1,202961,998920,-1,-1,-1,-1,-1,-1,78131,-1,564489,498647,225427,-1,-1,-1,-1,-1,423815,-1,83848,746770,663666,-1,-1,-1,-1,-1,-1,341592,745579,291469,-1,310250,182342,-1,-1,340073,732661,-1,374867,443636,-1,625135,-1,-1,-1,81124,699518,-1,-1,-1,-1,-1,-1,-1,376933,-1,526032,-1,-1,-1,265494,842680,424520,-1,-1,-1,19474,777872,-1,-1,641276,668232,837714,960361,-1,-1,-1,-1,-1,-1,61732,27832,-1,-1,496027,780497,97073,-1,441027,-1,660569,322953,545666,801917,-1,468042,872219,652764,786696,66912,104637,674813,-1,-1,-1,65925,-1,-1,322873,-1,-1,-1,422782,-1,-1,530227,627281,815655,773407,-1,-1,-1,772622,995165,-1,-1,-1,-1,452275,760321,678866,761245,-1,-1,338178,-1,-1,625542,-1,-1,-1,-1,407682,455331,-1,926618,65389,-1,-1,762754,911078,-1,943965,568147,-1,920813,594429,28701,-1,-1,-1,-1,829237,320540,-1,29534,-1,-1,89444,766135,-1,-1,666759,-1,-1,-1,-1,-1,923279,64264,-1,-1,400252,81613,-1,-1,-1,-1,719123,893628,-1,332170,-1,754118,-1,249647,-1,974078,-1,549388,886494,-1,-1,-1,-1,-1,-1,-1,-1,-1,704644,-1,299086,-1,805553,-1,-1,948176,-1,521230,-1,-1,833619,622662,166337,95597,75097,-1,161183,-1,616962,-1,-1,726845,442654,-1,673256,-1,-1,-1,239976,288926,767363,-1,418907,-1,186220,851777,-1,115279,852034,476361,717149,27148,-1,-1,-1,-1,25468,-1,230964,-1,-1,-1,-1,-1,-1,-1,98567,-1,185212,398060,-1,-1,-1,-1,-1,-1,-1,-1,-1,986788,932519,967282,-1,-1,992883,-1,504934,643187,-1,-1,-1,466728,-1,320941,-1,-1,66054,-1,-1,767269,-1,-1,251917,-1,597983,290228,580320,-1,-1,-1,500236,753648,-1,-1,-1,-1,631002,252986,904379,536167,-1,203559,-1,486082,100138,-1,-1,336739,-1,983876,741909,-1,-1,368504,-1,-1,684583,444403,382485,541054,248575,853000,-1,-1,-1,-1,-1,205747,481012,-1,-1,-1,345837,542470,-1,719566,-1,491026,824439,-1,318650,538451,-1,-1,-1,17380,473341,283123,-1,766540,755915,451416,878499,-1,766179,-1,451844,-1,-1,714275,-1,15077,557874,-1,495853,205137,-1,-1,980897,-1,-1,-1,778627,-1,-1,67460,-1,24891,720992,1753,-1,-1,-1,171128,229655,-1,436176,-1,126916,241408,115047,-1,-1,56940,-1,960203,564574,622683,-1,235027,-1,-1,667518,-1,453179,-1,-1,-1,630536,-1,626081,-1,-1,-1,790539,-1,-1,783942,-1,790233,-1,704353,300659,-1,624829,509829,493145,-1,255987,-1,435562,-1,-1,373873,774862,-1,276647,-1,501087,-1,603772,595228,-1,431269,615835,414414,939856,-1,374026,-1,-1,-1,-1,556671,-1,-1,-1,734917,-1,-1,298510,-1,-1,-1,-1,619475,-1,-1,549518,-1,8436,338688,969387,-1,813201,727881,868864,943699,-1,922395,430606,439208,54320,-1,-1,-1,282240,-1,413455,-1,-1,70638,971262,-1,825849,349834,175656,-1,-1,393545,188790,504372,499218,743897,-1,136218,-1,-1,809215,690138,-1,227167,378400,-1,-1,23386,124630,-1,-1,886497,-1,-1,497482,-1,-1,80180,307391,-1,989731,528241,-1,770623,-1,-1,804353,966949,266118,27609,44287,-1,90633,773527,-1,439577,-1,-1,-1,5192,951045,78406,124713,-1,13216,-1,334632,-1,532815,928448,-1,-1,831776,897005,-1,-1,-1,-1,513915,873177,-1,-1,638377,-1,863051,969662,-1,58843,130012,-1,-1,889079,-1,643902,-1,-1,-1,-1,816813,482200,-1,-1,708163,-1,-1,932411,-1,106665,-1,273665,897460,644325,285944,918010,828373,-1,-1,-1,131234,376419,-1,-1,-1,-1,-1,-1,-1,967412,-1,-1,-1,44845,-1,68781,-1,804548,273515,-1,-1,-1,938675,-1,930212,-1,417638,-1,582872,638184,-1,-1,-1,-1,96319,414386,254449,-1,889620,-1,870364,853548,-1,-1,406258,-1,-1,-1,-1,797383,719277,620833,785002,-1,-1,-1,603599,-1,-1,-1,-1,-1,-1,-1,613359,428570,577094,-1,-1,-1,-1,605237,597390,983575,224295,-1,-1,866235,976516,-1,-1,-1,-1,531327,-1,-1,-1,705633,-1,794470,864895,598610,-1,210364,-1,345641,-1,258796,904377,-1,-1,-1,-1,-1,-1,301801,982808,681297,723748,-1,42492,524206,-1,-1,-1,928970,-1,485936,-1,-1,485911,811769,-1,393004,694374,-1,-1,-1,931951,-1,692667,-1,490006,-1,-1,-1,564423,665951,-1,-1,-1,778979,663136,-1,-1,-1,-1,371932,-1,-1,-1,-1,-1,-1,217621,-1,-1,82958,-1,-1,44085,-1,726806,91906,538531,596057,683048,187239,532080,346434,-1,-1,-1,-1,-1,-1,836873,366372,802687,-1,-1,-1,-1,500159,-1,370308,476797,-1,-1,-1,113494,212833,812937,-1,-1,644643,-1,650422,-1,599711,295765,227596,972355,-1,781158,216287,-1,361206,-1,-1,847981,-1,-1,548421,-1,-1,276624,-1,-1,-1,-1,686781,841186,-1,977126,-1,867316,-1,304062,16724,737962,351810,113394,-1,393792,477253,295469,301270,443626,-1,-1,-1,574020,533840,176082,-1,-1,334837,-1,-1,774810,-1,-1,-1,-1,-1,-1,-1,829560,-1,-1,-1,-1,263535,93782,-1,-1,-1,-1,633231,423353,-1,241222,-1,474739,-1,-1,476473,718704,-1,-1,-1,-1,669779,-1,84054,-1,-1,-1,-1,-1,272574,813905,-1,-1,444805,345329,-1,-1,371399,268852,-1,493138,741119,-1,816758,-1,124491,-1,-1,416927,-1,814980,429509,104802,-1,-1,-1,141360,-1,-1,798634,-1,-1,-1,553695,-1,26257,463560,-1,520422,868884,-1,166193,306927,-1,688495,488645,847293,-1,-1,852045,-1,-1,851723,669178,-1,-1,-1,-1,-1,266256,-1,27486,611018,-1,-1,-1,-1,350140,-1,178846,-1,-1,-1,-1,-1,207304,989980,201239,-1,566320,714527,124484,667806,6155,-1,395670,182302,-1,-1,645315,-1,-1,47132,650589,556437,-1,-1,-1,980255,810886,-1,-1,-1,326601,887995,-1,359834,-1,-1,-1,170047,459721,422544,-1,862447,614795,-1,751386,801601,759562,-1,904848,-1,599992,-1,5482,-1,-1,-1,132541,503576,-1,-1,-1,-1,-1,-1,-1,889376,962428,922009,-1,-1,-1,-1,-1,651212,-1,201154,208345,41529,-1,-1,931909,211602,149033,24896,-1,-1,-1,-1,64396,-1,196832,632334,-1,-1,225399,-1,211636,-1,-1,-1,101157,310808,-1,21333,-1,73989,872177,496219,-1,-1,-1,824845,218612,606045,615268,747479,546107,647414,452187,-1,-1,-1,-1,958894,856922,454976,792280,939061,658938,597615,-1,250829,-1,185747,-1,808551,884994,-1,898491,416347,775853,685713,-1,350575,-1,166914,-1,179734,620675,-1,-1,210877,200791,817735,-1,-1,-1,-1,-1,-1,413552,-1,-1,183855,-1,904109,-1,-1,138532,-1,-1,-1,187722,-1,-1,785433,-1,-1,617160,-1,-1,159091,-1,-1,-1,559824,563420,229112,-1,648590,478657,804242,-1,-1,-1,-1,585782,-1,634156,622271,933554,130598,-1,-1,956748,434169,717671,-1,174925,-1,529581,-1,229793,809826,994962,-1,-1,158034,532170,-1,5174,-1,471266,-1,-1,910172,-1,96987,-1,116947,-1,54694,206748,-1,677968,-1,452132,987921,-1,-1,-1,-1,-1,135593,763415,123500,-1,-1,155285,179516,-1,-1,690768,549177,637630,-1,-1,247721,-1,-1,-1,-1,-1,-1,-1,194735,-1,-1,-1,-1,842344,-1,-1,-1,-1,-1,-1,-1,-1,517467,895989,-1,-1,-1,-1,-1,-1,694613,-1,-1,942467,-1,72437,-1,-1,322436,344482,-1,-1,655617,-1,163039,561282,-1,269178,-1,-1,174599,243611,-1,529925,898486,857178,330278,838692,-1,-1,-1,992053,561123,-1,-1,334514,-1,-1,628136,-1,-1,-1,-1,-1,309371,121970,359767,-1,356057,-1,453617,993037,-1,-1,241225,395262,-1,-1,-1,965104,-1,18166,88064,-1,258332,-1,453223,609384,944295,530787,359483,420428,94125,868425,994361,690159,172774,-1,44100,814983,563568,363939,-1,693858,479051,564314,586645,126663,340822,-1,918351,-1,719864,-1,440584,845063,605914,978530,259357,-1,83521,-1,-1,-1,-1,850506,-1,844948,307049,-1,507667,-1,540777,-1,119644,-1,698300,-1,-1,655269,505564,-1,433208,-1,531312,-1,903810,-1,758190,82243,297617,621508,-1,244048,768014,694507,802726,870746,-1,-1,-1,443630,-1,405507,72796,-1,-1,-1,188434,-1,-1,-1,-1,-1,-1,-1,-1,-1,969837,-1,-1,-1,157957,-1,506137,827066,-1,-1,-1,-1,231833,-1,-1,73872,-1,-1,995113,880665,391,444204,722052,561583,156277,-1,-1,-1,-1,977062,259648,185240,101322,855844,-1,-1,847974,-1,-1,948337,999668,598587,537897,-1,435111,-1,-1,67488,287124,599865,-1,-1,-1,25883,87905,417686,-1,-1,-1,611262,-1,-1,444211,-1,401071,778462,271169,-1,-1,5373,475373,952587,-1,598885,261431,-1,-1,258559,-1,-1,891397,304216,322509,-1,-1,-1,-1,-1,-1,-1,938221,-1,-1,571179,819165,-1,885238,-1,430662,125893,-1,-1,41411,547300,822773,-1,-1,-1,733560,-1,551294,-1,-1,-1,539394,933283,-1,121163,116235,-1,980143,320186,-1,-1,-1,-1,-1,979810,47792,-1,-1,-1,-1,686716,-1,377844,687767,826553,426148,-1,867875,729931,-1,287029,233804,-1,59591,-1,928200,-1,481534,561712,-1,644688,-1,485759,-1,-1,-1,-1,925605,405482,233671,-1,655888,153990,-1,965196,-1,-1,-1,871430,501949,-1,-1,-1,-1,-1,917982,-1,-1,-1,621799,-1,815310,302110,-1,80569,839705,-1,731373,518993,862372,-1,-1,-1,598783,53981,774966,876450,-1,-1,-1,738758,916018,-1,-1,207013,192340,-1,17560,585323,121843,344009,-1,-1,-1,-1,-1,688393,825488,-1,692148,143220,127303,633316,-1,-1,911094,482465,-1,118724,-1,467321,-1,-1,-1,-1,-1,25392,191996,-1,830160,-1,-1,359904,845398,893868,925381,831422,-1,-1,408882,760796,-1,-1,50747,-1,-1,-1,-1,-1,-1,373190,-1,-1,-1,151779,55331,-1,-1,-1,153042,-1,-1,21709,-1,871317,87539,5034,-1,-1,198462,-1,-1,933658,-1,-1,-1,292075,-1,303416,-1,72573,481816,832548,-1,513622,545611,324641,-1,37071,-1,118842,-1,180248,558414,-1,-1,990787,-1,15174,790181,418067,618697,-1,433117,88838,-1,-1,-1,-1,-1,594659,-1,-1,-1,-1,387569,865565,49007,-1,-1,-1,669599,113496,91482,-1,-1,-1,771588,652612,-1,401160,217082,-1,-1,667598,-1,358987,-1,-1,-1,-1,-1,-1,699600,948032,-1,486644,-1,-1,766652,-1,-1,664738,346582,217349,306968,875875,216137,-1,-1,-1,134346,-1,604271,834708,759289,833155,-1,-1,-1,-1,-1,-1,841068,-1,-1,-1,-1,-1,500776,23338,494545,-1,-1,479814,300488,-1,570058,-1,751324,140092,-1,-1,-1,-1,-1,716269,667207,-1,-1,132855,-1,841074,-1,-1,400455,-1,-1,-1,203807,319165,261477,744963,432992,-1,-1,-1,-1,989325,-1,770316,-1,-1,-1,-1,-1,637184,970212,785094,-1,-1,-1,715602,753024,698288,-1,986476,-1,-1,647342,590513,-1,82418,-1,243390,127630,678309,114353,549275,-1,681721,-1,381886,841523,-1,-1,942957,605619,-1,201947,103146,-1,-1,536145,722694,-1,702905,827123,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,592844,-1,579857,649064,-1,589913,-1,-1,-1,693721,-1,397634,927292,546048,684871,-1,264499,-1,427957,115189,272739,289526,-1,898209,408678,329616,102573,-1,-1,-1,-1,-1,-1,912423,879890,-1,670083,-1,97638,812768,-1,592669,-1,8089,-1,214932,719337,-1,-1,-1,340017,-1,-1,235908,161444,-1,655652,-1,496299,-1,819618,-1,495561,-1,771297,618280,115375,-1,-1,925609,-1,-1,-1,840379,740620,363139,-1,157675,-1,66934,-1,-1,-1,107025,-1,-1,-1,-1,-1,351565,469492,555694,-1,-1,-1,-1,41178,-1,-1,-1,-1,590846,58268,-1,-1,-1,704700,-1,-1,-1,-1,148460,754769,778784,215668,769157,128800,931558,-1,-1,-1,555558,-1,-1,-1,-1,988636,533600,-1,-1,-1,658053,772357,223111,-1,145843,-1,435733,-1,680234,82165,237523,-1,-1,621344,-1,-1,266562,379786,-1,609413,-1,-1,-1,-1,-1,925434,132511,-1,107116,924940,-1,416288,96097,-1,980811,-1,-1,-1,930025,33473,843925,-1,68332,-1,20515,-1,-1,-1,-1,591068,-1,-1,11987,19530,-1,412186,968023,756024,-1,-1,163726,503773,-1,-1,46127,521792,-1,270091,-1,-1,206137,917464,841100,236355,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,503585,-1,781672,-1,-1,667313,330758,688989,921646,-1,211518,-1,905944,-1,-1,-1,-1,739036,38271,863177,7034,-1,-1,-1,-1,-1,-1,-1,610740,-1,853371,-1,-1,-1,-1,-1,418397,993195,-1,595573,833912,-1,675702,44957,826485,-1,-1,902413,-1,-1,113150,-1,-1,718766,-1,819470,631391,-1,-1,-1,840136,-1,603566,-1,-1,-1,366043,341061,312276,-1,-1,835176,-1,-1,-1,-1,287083,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,453722,-1,246285,-1,261033,-1,-1,-1,-1,-1,-1,78025,830315,905393,-1,39690,39979,695628,-1,-1,956237,-1,720307,-1,700216,-1,466490,-1,813081,-1,915103,-1,-1,-1,-1,281479,70787,994593,-1,-1,800261,-1,17131,950599,92147,622717,439515,-1,112997,479495,-1,-1,145867,-1,-1,146811,759201,938537,-1,187757,-1,-1,-1,37607,870859,-1,-1,13033,-1,799495,841880,992080,-1,793514,544672,-1,-1,732231,338999,842751,-1,-1,-1,129083,-1,400986,-1,11386,-1,-1,-1,-1,-1,-1,-1,855130,532613,-1,188684,299922,-1,336981,-1,-1,-1,811209,-1,-1,-1,-1,-1,-1,-1,710219,327580,-1,-1,-1,-1,-1,454810,-1,-1,-1,455289,-1,-1,148100,648758,7521,886001,-1,-1,555635,-1,-1,205259,273388,857002,726152,839162,91770,586951,-1,-1,-1,164119,-1,-1,803411,175157,-1,644922,-1,756479,-1,552754,359577,417580,-1,-1,166629,804871,-1,-1,681933,-1,-1,49411,638919,139712,773212,-1,-1,-1,-1,266155,960311,-1,808910,-1,-1,-1,344916,883820,-1,-1,-1,757272,-1,-1,-1,421399,812718,409099,-1,-1,149894,-1,-1,712333,401839,22646,704317,-1,-1,-1,-1,202802,-1,419978,808514,977950,-1,635158,70056,-1,710286,-1,934605,-1,893598,939059,-1,200815,902842,64952,345277,-1,-1,-1,-1,958790,26732,-1,-1,409564,322476,-1,-1,457386,-1,-1,140632,182412,775660,491625,-1,-1,386600,529664,-1,240523,-1,773698,-1,931816,691249,-1,-1,-1,-1,51490,850641,669130,161785,-1,902610,-1,-1,-1,372443,-1,-1,-1,416357,953003,415900,634976,48313,574201,802426,436819,713899,-1,-1,-1,-1,-1,-1,856489,-1,905061,-1,836572,590006,807821,-1,225988,-1,639760,-1,468218,45333,518367,-1,805506,-1,936908,-1,785190,-1,-1,-1,211375,-1,763392,60799,-1,126021,-1,117545,-1,-1,973803,-1,148024,757716,-1,537767,432434,-1,-1,416695,-1,660170,-1,280607,-1,422238,-1,-1,322914,119264,195638,930754,719803,643142,-1,-1,598676,-1,101127,166812,91659,-1,-1,705757,-1,-1,-1,-1,-1,-1,238658,-1,-1,-1,-1,-1,265313,421818,-1,-1,-1,88362,-1,-1,568305,-1,-1,950343,-1,823889,672192,-1,567448,150539,-1,-1,885810,153258,-1,594367,855950,-1,-1,-1,-1,212290,-1,-1,666666,-1,952412,761586,706152,228016,-1,-1,-1,-1,751448,440264,-1,-1,-1,-1,-1,181478,476217,751437,394623,540613,335315,332147,402148,-1,-1,421485,539301,-1,796724,-1,540130,78012,-1,447049,346744,499931,472101,815215,271237,-1,-1,227230,484963,318823,-1,849387,-1,-1,388620,-1,-1,175246,-1,915813,-1,-1,-1,-1,788961,285240,473635,989865,809491,378030,134420,632914,738738,898572,-1,897728,-1,-1,-1,-1,127295,400174,-1,-1,696046,-1,-1,-1,-1,-1,987316,-1,-1,-1,749357,-1,944280,-1,-1,189715,-1,-1,200376,581441,326652,-1,608717,-1,-1,-1,-1,279746,197953,776506,-1,-1,120631,472905,815945,134840,-1,456611,6866,461208,-1,-1,-1,812550,463742,428566,999051,-1,-1,542666,702495,15916,164216,-1,406023,603077,-1,-1,-1,-1,600053,-1,742700,200258,-1,-1,-1,-1,-1,-1,-1,-1,-1,742297,384048,149760,-1,-1,-1,682763,-1,-1,-1,557064,293305,-1,-1,243407,314554,-1,713634,926619,853370,8217,335278,872637,-1,210327,-1,-1,95396,266293,-1,-1,-1,-1,-1,-1,-1,369538,-1,-1,-1,-1,676212,959589,667536,-1,-1,-1,331382,-1,918413,-1,-1,-1,-1,-1,132223,-1,-1,-1,-1,-1,317971,-1,208489,-1,-1,-1,710580,177974,-1,-1,-1,40493,284504,377593,9245,-1,940371,156999,374251,848485,-1,975941,617646,-1,851551,394020,816785,-1,637486,-1,-1,556759,-1,895073,-1,-1,45446,561461,-1,-1,-1,-1,676552,55380,490612,48646,553759,-1,589164,340453,-1,501953,-1,-1,-1,768322,134152,842054,178354,655619,-1,462999,-1,385244,255730,746833,-1,-1,-1,-1,-1,264622,-1,445244,112657,-1,630409,-1,422272,-1,-1,388998,-1,-1,268425,779932,-1,794951,326883,-1,115117,-1,-1,-1,-1,-1,671287,-1,-1,953391,483161,651642,-1,808815,67713,665538,424243,-1,-1,-1,-1,457515,-1,227208,765594,520147,-1,-1,614150,324639,211125,809565,114660,-1,-1,-1,101784,649511,69229,-1,21789,-1,600216,890391,-1,477159,737902,-1,668543,-1,466343,519415,-1,-1,411048,321068,155839,-1,-1,104488,175168,974036,469016,-1,-1,-1,883741,907638,381663,-1,-1,-1,740310,894044,-1,-1,205175,685555,319302,327092,-1,1671,987652,743962,-1,339692,-1,792362,995042,-1,221077,608047,297372,-1,728364,-1,-1,-1,432890,-1,520583,601734,-1,-1,-1,-1,786839,-1,353804,-1,926811,788156,-1,-1,829322,831367,879346,-1,300652,617572,-1,440741,-1,632225,518943,735159,-1,787534,-1,-1,-1,-1,411925,321785,-1,794117,641914,-1,-1,-1,343736,-1,-1,-1,-1,-1,-1,835913,-1,61823,-1,740132,580139,-1,55772,522915,976159,-1,-1,-1,-1,993797,601265,634988,-1,-1,289310,-1,-1,802240,287464,166042,230629,-1,-1,311903,505409,668679,-1,665274,-1,407287,375235,712332,-1,64398,549236,345048,-1,-1,-1,-1,72916,502698,-1,-1,820811,-1,-1,459318,439185,422883,-1,-1,1655,-1,-1,-1,-1,456425,-1,-1,-1,92478,664089,-1,301858,33551,59614,597095,726116,486133,-1,294807,-1,-1,980235,449083,-1,-1,-1,412124,615103,-1,-1,-1,781444,-1,853215,-1,618455,478881,63367,541562,-1,-1,-1,893855,841715,-1,-1,789836,377746,-1,248403,688449,-1,267316,-1,805662,-1,856515,930971,-1,-1,-1,403258,109482,883667,177183,403351,-1,242163,-1,-1,-1,-1,-1,-1,997173,-1,416812,-1,-1,31488,209095,278723,586712,845903,-1,10466,-1,-1,-1,-1,-1,715041,757609,375583,363133,-1,8118,830645,623202,370616,371837,-1,128713,-1,224034,27785,-1,-1,-1,-1,-1,-1,-1,556550,234289,-1,259684,924799,-1,-1,-1,354400,-1,-1,694496,-1,940102,-1,893069,582119,-1,225673,-1,-1,926844,829548,-1,-1,334721,-1,560583,63628,-1,629860,796808,-1,295776,484436,290250,-1,-1,592801,359285,624679,215638,593127,-1,620061,89602,990591,-1,-1,522519,470999,354620,150478,-1,239077,-1,789624,-1,-1,954067,340046,-1,-1,235554,-1,675583,-1,-1,297329,321737,4623,-1,-1,-1,129598,-1,883044,613953,464368,306567,-1,515668,-1,141270,308543,-1,-1,-1,-1,47474,-1,-1,402392,67676,-1,-1,-1,762842,-1,966295,54196,427562,-1,319534,921037,826361,719246,654433,724027,242480,175943,314480,-1,-1,-1,787589,891806,-1,-1,-1,901518,-1,-1,470225,-1,-1,-1,221798,634045,673756,-1,585141,-1,-1,-1,793951,-1,613067,-1,-1,-1,-1,364841,36388,736584,787020,318853,-1,-1,421285,663896,813916,-1,82366,-1,838648,756158,-1,300549,-1,927886,-1,-1,838620,-1,-1,578660,-1,-1,537254,394300,739830,-1,-1,-1,-1,-1,954857,414557,-1,-1,-1,257985,970229,64998,288001,-1,-1,-1,-1,-1,-1,-1,393525,218673,-1,792833,218818,898294,-1,-1,867471,257982,-1,325584,867738,-1,645024,-1,-1,-1,-1,785422,200574,392362,-1,-1,-1,-1,881033,717958,-1,859309,-1,946138,576109,246336,-1,-1,193493,759525,931743,442105,-1,221597,-1,565216,159009,-1,970119,-1,-1,-1,-1,333909,-1,-1,385922,-1,-1,264978,821805,-1,-1,-1,541081,779990,-1,122200,-1,-1,188079,837331,659587,-1,251778,440618,-1,325434,-1,-1,805983,699183,-1,-1,-1,25915,595962,485937,956366,-1,808053,-1,-1,-1,-1,-1,763756,-1,-1,55224,187679,660387,707641,-1,475189,584310,-1,877375,-1,-1,-1,49682,521551,-1,860304,-1,204073,-1,-1,-1,-1,303451,-1,291692,-1,-1,-1,-1,944777,-1,-1,-1,378906,-1,667541,-1,-1,903838,531051,243864,-1,441358,407264,-1,52619,-1,787611,17147,-1,935151,-1,-1,254576,837337,-1,-1,-1,-1,-1,316817,654121,10259,820522,859739,-1,-1,779513,-1,-1,999250,969680,-1,-1,-1,-1,-1,286802,125220,789311,222821,-1,353011,822,629420,-1,-1,-1,77627,-1,239061,-1,-1,820027,585906,-1,621121,912721,332561,-1,785430,293416,-1,613343,520516,-1,943121,459237,876179,815366,-1,-1,-1,-1,630103,-1,637158,-1,803174,788501,90370,-1,-1,-1,-1,-1,862237,-1,508137,-1,403208,-1,-1,-1,-1,-1,364414,38378,883001,-1,-1,741808,-1,-1,-1,772453,852387,883814,711631,751801,703089,-1,-1,384197,-1,914527,530937,-1,-1,-1,579757,402986,-1,-1,937274,-1,235649,-1,-1,-1,997774,397844,-1,37104,254422,173840,-1,237901,987124,173582,329769,-1,-1,-1,-1,-1,-1,598230,-1,-1,866419,361905,-1,4368,-1,619304,30860,53979,160422,-1,600273,-1,239747,-1,781630,-1,-1,-1,766574,-1,771966,-1,878292,451699,206518,-1,170784,-1,147853,749378,-1,148411,989548,-1,-1,-1,148908,552722,-1,-1,780474,420013,-1,-1,-1,764101,82665,420873,-1,637724,-1,-1,155199,661879,-1,605036,587022,-1,367650,-1,588403,100418,999181,-1,-1,394696,-1,-1,-1,-1,169670,112785,18467,960279,-1,-1,-1,-1,-1,-1,314245,-1,453466,386500,-1,685022,-1,624705,-1,872973,709098,875768,-1,-1,-1,453238,-1,404801,-1,-1,-1,419152,691025,399124,237025,-1,585849,-1,969344,670465,814179,747739,744265,71305,-1,-1,-1,-1,-1,-1,440957,-1,851431,140725,6435,-1,886459,523535,-1,125832,-1,668358,-1,547901,-1,-1,638434,-1,20050,-1,-1,-1,-1,-1,-1,277222,-1,423810,-1,473100,874597,-1,312040,-1,986150,-1,974205,607275,-1,-1,596959,-1,517167,-1,511287,-1,958128,981683,104011,-1,461755,919967,-1,-1,-1,965728,14578,458015,81236,613811,-1,-1,500866,651548,716573,395555,93979,921002,215359,590079,923805,-1,-1,-1,-1,-1,-1,646832,-1,-1,556091,977816,487447,-1,665965,999229,894034,912899,-1,-1,-1,619709,247301,-1,987704,328562,650490,202409,-1,551929,-1,479344,-1,-1,-1,918270,-1,-1,609743,-1,-1,-1,-1,472538,-1,-1,973603,17751,470411,-1,-1,931008,-1,82193,395088,611854,25677,-1,-1,735742,-1,828854,-1,-1,-1,32526,-1,202332,-1,-1,832809,515108,-1,692866,-1,-1,663417,246242,-1,573206,780055,974261,603056,48492,459834,711316,-1,-1,-1,594306,695692,-1,-1,-1,909996,-1,502478,253119,-1,-1,-1,-1,323262,821789,-1,-1,926747,-1,-1,-1,352765,-1,-1,590831,-1,-1,848060,948489,176883,462542,951796,-1,-1,107036,-1,373088,261123,-1,534487,-1,838071,163522,871300,679856,698096,-1,-1,686456,-1,897099,-1,-1,-1,-1,-1,453872,594276,47076,633158,910125,-1,-1,999808,-1,-1,-1,999841,66397,-1,-1,594130,-1,397964,840601,-1,258180,817591,233149,676320,-1,-1,-1,-1,385836,153811,746574,-1,-1,-1,-1,896337,167103,659051,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,392821,707622,-1,-1,-1,-1,492705,-1,163456,549569,-1,-1,-1,883917,687718,-1,-1,607831,-1,-1,-1,667262,241860,790742,-1,206875,-1,358881,298623,-1,-1,976170,-1,423792,-1,643087,-1,-1,289478,-1,-1,-1,73099,-1,374644,-1,-1,-1,-1,-1,-1,-1,-1,958005,-1,155848,810124,-1,499664,616107,-1,187324,794763,-1,304304,-1,554775,246573,10187,85718,598995,-1,-1,-1,-1,-1,192824,-1,-1,-1,-1,836038,-1,-1,254400,-1,-1,865846,-1,-1,-1,721762,-1,-1,299858,1467,-1,878387,-1,148021,-1,-1,-1,-1,-1,744797,620440,-1,-1,429886,-1,864299,-1,971039,662145,-1,827065,583798,891378,941205,651707,-1,-1,-1,-1,463046,242706,780200,472962,270012,-1,-1,-1,733448,-1,188619,-1,79412,-1,-1,-1,889881,814069,-1,-1,-1,89454,-1,260050,805628,-1,96835,688439,233186,248881,913641,601460,638018,419252,-1,895479,656734,78878,367034,764098,-1,221936,855065,998739,-1,-1,76352,-1,645401,-1,-1,52328,468465,291214,-1,-1,-1,-1,-1,-1,-1,-1,-1,640629,919612,261643,-1,576538,20274,540792,933702,-1,361496,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,517932,-1,-1,296358,-1,983036,246818,-1,106733,-1,-1,799140,756878,-1,509356,855815,24769,-1,-1,78918,-1,-1,141608,-1,690889,678784,681980,632422,772846,64481,-1,458488,-1,-1,369525,-1,630532,338967,-1,465118,575612,-1,-1,-1,501508,-1,246670,-1,775789,-1,-1,493760,-1,-1,644651,125059,-1,-1,733365,381817,861297,34289,-1,492618,489234,-1,-1,250436,699542,-1,-1,960683,644013,-1,-1,-1,858501,74965,63215,-1,407965,729444,650209,-1,86550,-1,-1,633955,844813,-1,325034,626172,371882,668674,495943,-1,-1,-1,99985,-1,-1,-1,-1,-1,-1,-1,666850,603265,701627,197858,-1,17568,-1,-1,-1,-1,683962,-1,-1,-1,-1,247068,-1,895319,-1,-1,-1,-1,-1,-1,-1,37741,396706,562977,-1,664579,89126,-1,-1,775084,-1,858445,858848,-1,-1,-1,-1,998249,-1,-1,-1,376972,-1,670457,-1,-1,-1,-1,-1,-1,710186,-1,412067,-1,-1,-1,-1,227465,69274,701834,-1,822404,-1,-1,993823,309264,-1,-1,128797,-1,-1,783165,-1,-1,-1,603247,823655,519253,-1,452170,445642,931254,493689,597750,-1,-1,482774,-1,65320,-1,700647,-1,54614,-1,-1,-1,364824,325164,840240,-1,-1,859192,753328,-1,-1,164752,-1,355695,267126,250439,-1,-1,607945,-1,354485,-1,-1,921866,-1,504763,778109,-1,-1,101587,-1,544192,90358,-1,61606,-1,-1,929887,54714,-1,50260,192087,957736,347921,-1,-1,575090,880796,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,678313,958341,766415,-1,-1,-1,-1,-1,784088,-1,581562,856978,893220,703306,-1,938962,-1,-1,-1,-1,201624,692333,308036,191889,131202,-1,697542,-1,437434,-1,612428,230211,273377,284580,998766,175849,776367,835123,-1,-1,539934,-1,779546,990356,-1,-1,817123,-1,-1,-1,-1,-1,-1,-1,106067,254716,518716,-1,-1,598075,767200,-1,99209,662684,-1,-1,-1,785026,235364,-1,-1,-1,-1,-1,-1,16683,393008,831401,-1,823833,677586,-1,693631,-1,687149,433479,-1,904492,145518,-1,-1,144101,779750,69847,-1,526496,-1,-1,217763,-1,-1,-1,-1,-1,-1,-1,247440,141430,549404,-1,-1,-1,215070,370574,614810,-1,570544,441564,-1,-1,-1,-1,-1,-1,515660,555291,572644,873785,313086,-1,-1,-1,299327,317068,-1,921548,-1,640260,-1,586297,891504,171261,349803,-1,-1,514939,-1,901754,583609,782774,617690,50356,106751,913672,-1,-1,599278,-1,-1,52738,-1,-1,356136,-1,-1,770304,90566,-1,-1,-1,-1,17528,-1,812749,-1,802736,189026,549426,224511,563283,132250,780725,641943,-1,-1,-1,-1,340957,-1,-1,-1,-1,708027,-1,-1,-1,-1,-1,-1,-1,579662,-1,975493,-1,933038,130177,-1,-1,425042,-1,371544,355505,832698,-1,-1,489676,-1,-1,455182,-1,395026,-1,-1,-1,-1,308917,-1,-1,855053,541520,-1,225375,18861,64635,-1,-1,526180,-1,-1,934415,861079,341652,-1,513968,-1,910616,693430,-1,-1,-1,726150,-1,-1,175187,687793,-1,594607,-1,769906,-1,664268,-1,-1,350005,54064,-1,95606,416243,837300,-1,-1,-1,-1,83504,-1,-1,697969,313103,795476,-1,145095,890676,570435,994411,-1,-1,-1,-1,395020,22579,-1,550592,-1,-1,-1,810153,-1,802930,-1,-1,340338,-1,148716,-1,603395,-1,745588,-1,-1,377105,90400,948812,131573,-1,-1,66803,514226,892289,-1,-1,63075,-1,-1,838350,-1,-1,-1,-1,-1,-1,-1,396074,-1,223552,-1,165470,-1,763758,337742,-1,935853,-1,542684,85922,240004,363698,112578,-1,-1,266995,-1,-1,-1,-1,-1,-1,804583,214021,658881,-1,360583,116822,317478,218905,-1,-1,913029,-1,290578,457047,-1,-1,-1,459449,-1,922094,456126,104086,-1,-1,-1,375325,-1,443141,359437,-1,730093,164885,-1,-1,739210,941502,410388,837375,176355,244581,-1,107670,-1,-1,-1,656957,-1,791812,72662,-1,16948,-1,520869,-1,-1,-1,-1,-1,-1,-1,-1,-1,62641,244879,-1,-1,-1,651686,-1,840517,368869,-1,-1,-1,953777,770019,602048,745673,207214,-1,695131,272704,-1,-1,-1,-1,948564,954529,1509,12706,-1,-1,60216,488422,-1,859873,139472,-1,521210,599370,404789,566113,426818,-1,-1,-1,992758,534017,980573,-1,-1,-1,-1,295987,-1,471216,-1,-1,-1,-1,-1,659083,853753,554622,816614,790965,-1,-1,995824,949940,848522,-1,-1,917312,-1,-1,-1,151144,-1,-1,197945,55689,-1,-1,383939,-1,452623,-1,644382,-1,996596,-1,-1,965715,-1,-1,-1,388597,265054,950135,363593,438211,-1,-1,-1,-1,-1,454342,-1,377241,-1,-1,-1,-1,591256,-1,926034,874098,-1,-1,230154,322665,522332,935123,-1,716347,276490,-1,685288,-1,-1,-1,995414,882337,-1,139728,525820,-1,80994,-1,-1,312994,748194,-1,288361,743621,-1,-1,-1,-1,-1,-1,-1,-1,996417,-1,-1,186979,-1,-1,768494,-1,-1,221731,-1,267639,-1,-1,-1,352525,119172,-1,-1,866590,-1,234947,125330,-1,855601,642501,-1,-1,-1,248118,-1,-1,-1,275573,518574,565994,-1,176138,687089,470823,586847,-1,-1,-1,14938,-1,-1,-1,313465,887313,787147,816088,776067,351037,-1,997030,-1,365162,479381,219505,-1,-1,173967,534741,474303,133062,-1,884249,841740,-1,-1,52243,142093,984942,-1,491605,816107,398040,-1,-1,271818,121132,899448,-1,527695,-1,-1,-1,-1,-1,-1,-1,890508,-1,-1,-1,-1,-1,-1,751499,-1,664619,-1,-1,608846,942883,393541,-1,204655,-1,630408,-1,18263,-1,-1,263473,553914,197847,513776,136959,67875,977018,-1,-1,468475,-1,-1,270814,-1,-1,942447,-1,-1,870137,724931,264479,-1,-1,334456,938251,874955,-1,-1,682261,569220,-1,-1,771124,-1,285129,218777,-1,728688,961120,773168,553952,26827,-1,-1,371187,862606,155461,-1,191592,135880,800520,-1,590155,-1,720926,729881,233806,-1,464693,-1,-1,936545,-1,-1,-1,35871,-1,-1,-1,848303,340193,964321,641187,-1,-1,826425,989421,-1,131961,834244,673637,-1,181880,-1,456090,-1,432056,-1,-1,539919,-1,-1,-1,-1,164354,-1,-1,786613,-1,221899,256457,737423,36055,-1,-1,136717,681470,-1,637022,-1,-1,228740,-1,-1,736546,-1,-1,-1,-1,-1,-1,-1,-1,464868,295305,149543,68065,258056,503487,-1,-1,867097,67594,488816,-1,-1,323992,532854,297215,-1,-1,403308,466546,945452,-1,462291,980323,-1,299982,957410,865589,516725,-1,-1,-1,493202,-1,325606,736710,110727,252016,-1,-1,-1,-1,925050,-1,-1,463773,-1,-1,-1,436495,174860,-1,-1,421458,315897,-1,759654,718844,623366,-1,169649,-1,-1,186029,806201,703659,-1,630163,936987,-1,-1,-1,-1,-1,-1,711295,91189,-1,-1,-1,230307,-1,-1,604732,956499,-1,-1,-1,829005,-1,116997,990175,315876,47196,44568,483280,926972,-1,393012,-1,-1,956584,702429,948274,-1,-1,193541,480081,-1,199475,530733,33404,952848,676781,-1,-1,-1,-1,410354,476849,569879,-1,3583,220454,213824,-1,-1,505189,229707,-1,323316,-1,720563,-1,105542,649932,197307,25414,-1,-1,739925,505324,-1,-1,-1,-1,-1,167960,-1,-1,-1,970940,-1,474801,-1,-1,-1,-1,-1,645511,-1,138288,-1,886533,-1,656269,567250,954268,-1,-1,-1,272447,850724,-1,181739,232139,-1,-1,-1,184144,-1,67436,863766,-1,275075,159542,-1,-1,-1,724145,77314,222767,345883,229238,-1,-1,770238,477434,-1,314748,-1,436221,-1,-1,648210,326129,-1,181687,878417,474319,-1,-1,387432,288018,-1,-1,-1,-1,-1,-1,467641,542460,-1,-1,-1,-1,-1,543636,46390,509750,126097,-1,-1,-1,141474,-1,828053,99698,790995,-1,-1,-1,-1,681219,-1,-1,-1,-1,301768,291396,705631,9617,526908,130090,-1,-1,-1,-1,-1,44926,169977,-1,93858,-1,-1,-1,841578,958879,471079,-1,377443,-1,-1,26844,-1,384615,-1,-1,14557,15102,888464,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,723081,-1,863286,822013,-1,924158,702818,138352,-1,-1,696986,659363,998512,-1,317646,313683,-1,-1,-1,15252,207555,428402,-1,-1,-1,774993,-1,181346,-1,569853,27264,-1,213543,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,120068,-1,43153,481236,991911,889422,-1,-1,234607,-1,-1,-1,-1,361207,-1,564041,451596,588806,18140,729530,-1,-1,-1,213599,-1,-1,567961,137537,57170,-1,100076,856428,-1,-1,-1,163616,-1,677160,618861,-1,-1,706028,157917,-1,-1,-1,-1,573641,-1,89847,814279,184902,-1,568586,-1,652241,772681,-1,149659,757350,-1,916067,-1,-1,770942,538689,154641,-1,-1,57012,-1,-1,146809,407267,-1,783645,-1,-1,611901,875128,111178,-1,-1,-1,-1,-1,601534,944488,563941,-1,804171,733304,788582,-1,-1,-1,-1,220495,792875,-1,-1,-1,-1,606376,30990,-1,390397,954308,-1,-1,38003,194023,-1,-1,643390,-1,149804,209748,-1,82731,810525,-1,-1,592678,763399,645404,-1,884875,-1,-1,-1,-1,-1,-1,319815,20337,-1,-1,590974,-1,-1,-1,445502,-1,919230,-1,431108,-1,120140,937458,717303,-1,859548,706970,565480,565597,308174,-1,425411,368359,289165,-1,-1,656718,510336,495418,260280,537937,748532,-1,-1,-1,-1,491573,-1,-1,17503,-1,-1,745474,336645,-1,109288,375410,-1,-1,-1,372055,-1,184842,-1,49697,672816,373783,-1,315282,312617,118657,-1,-1,133902,656374,-1,-1,423328,-1,-1,-1,-1,-1,593484,310388,856314,-1,250830,-1,-1,895266,-1,-1,789746,22759,564646,464551,-1,-1,-1,-1,-1,869515,434442,911974,126085,321940,-1,-1,385988,-1,-1,-1,146331,1666,171011,-1,-1,647867,-1,517843,-1,-1,-1,-1,401871,-1,-1,-1,-1,985424,954089,-1,187821,-1,-1,723254,335496,475734,372201,678494,-1,-1,747416,-1,-1,295579,-1,521379,-1,-1,710034,-1,-1,-1,-1,-1,954850,995660,109659,-1,873680,-1,-1,-1,356152,-1,230505,-1,633538,-1,560501,243844,820283,438364,425575,988459,342952,-1,837152,-1,625648,124998,965948,-1,-1,338810,324442,-1,-1,404037,731513,-1,-1,-1,-1,-1,-1,-1,240694,-1,-1,-1,184809,635503,905547,-1,-1,357401,760990,292658,199546,-1,-1,535215,743367,-1,-1,-1,-1,272019,667879,182950,-1,-1,-1,798663,-1,977655,-1,-1,598143,476772,-1,486288,831356,-1,-1,815864,-1,-1,-1,154935,873585,-1,-1,421039,621083,945903,617558,-1,344017,358022,-1,888855,-1,-1,639183,-1,-1,722596,-1,-1,1567,845997,-1,747402,357959,-1,198279,-1,621646,-1,549603,911155,288808,-1,6271,231259,-1,-1,617850,-1,-1,-1,590608,383529,-1,956116,-1,820512,320198,-1,309474,824571,396373,-1,-1,927874,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,99838,407266,-1,-1,588500,-1,-1,559218,647854,-1,-1,807170,-1,605302,-1,-1,-1,-1,-1,-1,861286,865892,169715,-1,-1,410427,15591,995120,-1,-1,-1,-1,435303,111327,-1,847846,458780,241067,-1,-1,568244,141893,-1,-1,564534,-1,-1,-1,212345,-1,622381,677937,324116,410480,671208,-1,-1,-1,-1,-1,772517,-1,-1,347160,873988,559312,-1,294662,-1,-1,-1,979538,501257,-1,358724,26998,971730,-1,-1,-1,840973,550652,-1,-1,-1,416808,-1,624861,299723,-1,25435,-1,993553,481602,377321,-1,989502,932683,906430,-1,-1,161527,-1,110495,-1,933808,138648,-1,649236,-1,524596,477536,-1,831021,320911,-1,990998,-1,484859,-1,-1,84280,378376,-1,-1,671637,102380,-1,-1,-1,-1,-1,974208,-1,435529,-1,894655,906461,127947,56,-1,-1,-1,290626,-1,-1,315349,-1,858947,465329,-1,905273,-1,-1,-1,-1,469918,444272,60939,887849,790117,302879,-1,-1,484080,985225,-1,829176,-1,961569,-1,718463,-1,404921,-1,581538,-1,460245,65899,191461,-1,-1,-1,705995,-1,690587,-1,864720,375919,-1,512764,123890,123572,384839,195789,-1,879734,295039,454945,-1,527361,88839,-1,-1,-1,-1,195788,271467,11002,33251,260440,771026,737741,307801,598769,924127,166349,-1,312334,-1,754515,-1,-1,-1,108647,-1,-1,-1,-1,223346,275149,-1,275058,-1,611620,636715,-1,720820,-1,-1,256437,-1,953177,338689,2288,976540,356394,-1,-1,94930,-1,29442,-1,-1,-1,-1,783260,958925,-1,481764,783274,164011,477215,931544,627561,-1,61076,-1,674713,-1,-1,388524,920383,-1,-1,-1,-1,-1,-1,655276,-1,-1,393631,878746,424617,-1,562164,572185,737879,-1,543644,-1,797494,-1,-1,85356,-1,74906,133468,-1,709454,-1,899818,908138,-1,419434,432881,-1,-1,804066,-1,-1,-1,270808,-1,-1,429413,-1,633670,590103,-1,-1,-1,-1,433495,-1,-1,-1,713434,750533,639283,974862,-1,-1,-1,88193,-1,-1,819375,862715,429218,913220,190025,845516,691499,-1,-1,444337,370878,-1,-1,252377,683045,-1,938937,-1,-1,-1,-1,220617,-1,-1,-1,-1,366442,348581,796666,639096,902131,27181,978010,-1,-1,580151,797022,383477,-1,-1,28548,-1,151121,-1,16894,-1,-1,864390,384260,636048,-1,-1,-1,-1,217769,-1,-1,152549,-1,-1,-1,203019,-1,489062,-1,997863,294003,-1,-1,810895,289590,57768,-1,560543,727266,-1,924420,554609,222434,-1,-1,-1,263570,-1,-1,49366,-1,520608,-1,-1,-1,-1,-1,204597,-1,-1,572207,-1,991178,-1,371673,645473,-1,322937,-1,671016,-1,-1,639769,939609,994918,122619,788292,-1,779567,-1,287896,95960,36560,976910,524969,-1,729188,676933,-1,-1,-1,-1,205041,-1,535499,944779,-1,551272,217291,397069,-1,486426,937364,-1,515887,-1,530853,410016,678746,772854,261824,-1,-1,-1,-1,514529,-1,434504,126950,164486,-1,-1,733360,17673,467291,-1,279351,583220,-1,-1,-1,-1,-1,902418,-1,671738,-1,841240,-1,-1,268875,-1,120935,-1,-1,-1,-1,-1,-1,371389,574689,941770,642314,428456,898540,-1,106160,-1,-1,409906,-1,-1,968422,203517,-1,-1,-1,558174,-1,302249,844329,268526,-1,722820,980591,-1,336053,-1,709292,774282,-1,-1,796180,-1,356263,137833,-1,-1,121621,-1,-1,-1,-1,934282,707990,-1,389581,-1,363660,-1,188796,857550,808503,-1,317406,196335,709775,769112,937874,-1,381394,-1,967598,123480,491229,-1,949531,-1,-1,962149,799305,812775,82050,-1,520284,-1,-1,-1,429128,-1,388355,606470,-1,-1,42093,633180,415690,85813,-1,712097,-1,751239,27934,492842,810664,-1,428292,248395,351353,-1,531218,-1,719520,-1,-1,611514,703312,-1,398126,955701,647585,-1,-1,915307,159818,159282,943216,-1,-1,-1,387664,635065,-1,-1,774325,661119,-1,-1,745040,-1,-1,-1,448201,360742,-1,-1,730985,347722,-1,-1,-1,120923,-1,-1,-1,35050,-1,-1,567116,-1,-1,643992,-1,-1,214821,758912,475083,-1,-1,591480,996622,-1,-1,-1,-1,-1,305124,-1,80734,-1,-1,634725,14146,-1,-1,-1,-1,679620,53537,188607,-1,585344,815847,669096,538632,-1,628081,-1,358040,-1,327371,-1,-1,-1,-1,705047,755935,921089,-1,-1,-1,-1,-1,407158,-1,57542,118352,-1,-1,-1,179913,78447,-1,-1,-1,-1,-1,-1,366271,287174,-1,-1,-1,248297,648029,-1,-1,-1,-1,338836,914975,-1,374103,-1,-1,-1,667391,107635,665033,-1,-1,39916,558925,566953,31481,-1,-1,806491,404673,570836,-1,255044,-1,11965,96104,485055,-1,794655,981690,-1,-1,-1,-1,-1,-1,-1,946938,-1,-1,157208,957134,732557,14842,-1,-1,127489,-1,339758,466225,754026,320554,806999,40182,-1,-1,670896,-1,-1,-1,624823,-1,933480,-1,761055,517075,-1,473622,145444,758384,-1,581147,-1,899124,746625,234199,967929,-1,124002,977599,-1,-1,-1,713200,-1,-1,289724,-1,146036,334404,-1,949451,886249,762098,-1,49018,-1,-1,-1,14972,-1,358311,156041,-1,857795,-1,236179,636119,774540,128915,77226,-1,-1,-1,878794,-1,657304,-1,554234,851421,-1,-1,-1,-1,-1,-1,285876,101207,-1,-1,-1,-1,-1,172752,690437,989720,724209,570881,864113,176964,467589,-1,-1,24563,800583,209855,-1,-1,522984,623273,-1,-1,-1,408272,-1,-1,-1,-1,-1,360675,-1,-1,-1,-1,-1,-1,771312,-1,-1,469805,-1,863034,519223,544608,575580,878447,-1,818738,-1,453128,278021,701808,533542,-1,-1,-1,-1,-1,142515,460233,921832,-1,-1,420572,313551,-1,-1,835661,116535,310110,-1,-1,-1,-1,197255,284323,786822,-1,179086,-1,-1,479044,-1,683842,-1,-1,893795,-1,738023,408269,-1,-1,-1,999801,-1,267616,726840,612391,-1,-1,-1,-1,574427,915256,765064,745485,74419,528200,518076,-1,736457,781720,556287,557176,-1,-1,-1,827601,631826,-1,704063,-1,858409,938910,874201,840203,625443,657292,33088,-1,-1,-1,-1,921101,-1,445190,-1,-1,731912,315309,-1,527082,-1,-1,21176,237126,-1,-1,268395,795717,-1,914529,-1,-1,-1,636436,-1,277307,276407,-1,743713,-1,84631,577261,381538,957334,78559,345302,158263,-1,894679,653399,-1,-1,565278,983170,321869,206360,978450,-1,-1,611932,-1,43817,664175,-1,870979,177983,229918,973975,967395,267813,25238,462908,-1,831564,302293,618210,-1,-1,251718,262702,-1,867744,80519,-1,419807,990958,890805,-1,-1,333086,-1,-1,391140,-1,-1,-1,-1,521924,-1,-1,629190,884335,872550,-1,547186,621825,391231,941150,292972,-1,-1,-1,-1,92919,-1,15906,-1,301989,-1,160915,603064,537602,-1,-1,-1,-1,-1,239122,243498,599707,-1,407074,-1,930665,555723,949282,-1,399851,415632,-1,377237,543097,531872,869311,-1,150944,-1,513714,96786,-1,651447,-1,-1,-1,-1,599487,120881,882395,-1,585193,-1,-1,-1,951649,13657,-1,863249,-1,335303,-1,-1,-1,411021,-1,901842,-1,-1,481682,972363,739185,-1,806067,124458,399419,-1,-1,622399,-1,-1,596559,811144,-1,-1,418043,154829,296324,616277,561305,595088,-1,-1,-1,528217,769452,616236,758925,-1,670909,-1,732220,430439,-1,-1,96885,302563,694203,297814,108704,148895,213096,198897,-1,947222,393945,942491,994352,874949,535639,-1,-1,515679,447030,293075,-1,-1,787798,-1,678354,808647,261615,-1,-1,-1,649703,-1,606504,-1,-1,294251,-1,-1,-1,-1,304467,-1,451627,552222,110217,368740,-1,771140,-1,-1,-1,523300,363247,-1,-1,-1,875519,-1,785856,44716,-1,685247,-1,922522,975668,322970,-1,686854,360409,751780,-1,-1,584069,798274,827844,741046,-1,-1,256660,928238,-1,-1,-1,-1,-1,-1,498475,-1,17352,-1,424318,704850,326935,180436,291749,513115,-1,-1,-1,719200,-1,87881,13573,-1,-1,981862,-1,587039,-1,801333,410155,107667,-1,-1,695513,489738,-1,-1,-1,325114,-1,693223,618823,-1,-1,-1,445888,64763,-1,-1,867027,-1,-1,994075,181336,-1,82483,-1,151561,-1,-1,907108,854928,972471,-1,-1,-1,726284,-1,593252,678970,127151,653103,37285,-1,849091,-1,-1,32721,367171,586597,809109,405738,-1,974986,997924,363768,-1,-1,-1,830135,100029,681958,-1,342374,969640,-1,120484,480811,-1,518606,-1,-1,-1,-1,-1,243765,160802,-1,355972,-1,-1,689121,-1,920271,700250,281658,756494,-1,745529,862202,-1,-1,-1,-1,199445,738535,827448,-1,-1,-1,638008,-1,-1,23792,-1,-1,910507,939241,89529,659836,961550,299641,-1,-1,292990,972684,809768,-1,889961,-1,493748,119140,172126,-1,-1,-1,90275,66850,-1,389796,-1,-1,444733,331907,-1,134500,687287,546330,134116,-1,26527,646286,238417,-1,-1,3699,-1,-1,-1,-1,495742,495887,40132,-1,610446,-1,581989,-1,-1,413617,98754,53987,490353,-1,-1,114604,986280,-1,449069,132790,292210,682033,-1,-1,-1,-1,-1,61687,-1,-1,190186,-1,-1,-1,502810,-1,-1,930847,-1,-1,-1,-1,731847,412531,715506,726417,222583,-1,-1,970445,-1,-1,762745,619121,425228,613676,-1,-1,-1,45853,237139,-1,-1,-1,-1,-1,104099,770371,-1,-1,-1,578474,-1,575444,-1,302236,-1,-1,299297,-1,836401,-1,-1,-1,-1,-1,-1,518122,412527,575655,440069,736295,324391,221807,35569,-1,698537,669894,29830,-1,-1,-1,-1,978765,-1,-1,-1,-1,287739,-1,-1,643665,96406,-1,-1,389460,151131,-1,314125,18068,-1,679986,125547,-1,520704,-1,18795,163412,977596,767916,-1,534628,-1,350509,93146,840740,136264,739230,-1,-1,-1,-1,-1,-1,335974,-1,906278,552866,-1,913125,-1,-1,486564,568928,-1,461056,-1,-1,222911,449608,-1,-1,-1,-1,-1,662331,332768,-1,341371,221549,86277,-1,-1,212864,843531,-1,168864,470714,-1,-1,-1,-1,-1,-1,705512,-1,58395,-1,440134,-1,566991,-1,358036,817064,-1,-1,-1,-1,-1,234319,670210,-1,-1,747675,299994,-1,306322,-1,990219,-1,-1,339283,-1,973151,-1,-1,-1,-1,386715,374522,-1,-1,858983,484485,-1,885957,251822,-1,-1,-1,210961,951655,-1,489534,80675,-1,-1,837070,63374,889235,-1,593044,-1,403329,-1,-1,-1,-1,306191,-1,-1,650112,-1,-1,-1,910517,558290,-1,906081,-1,63890,288756,-1,208540,-1,-1,-1,-1,604897,965701,-1,-1,-1,-1,-1,679293,-1,687446,256941,-1,598499,-1,-1,18926,-1,-1,-1,772041,-1,-1,-1,-1,99634,-1,676496,-1,-1,642084,-1,823247,-1,403962,-1,851064,912160,871361,-1,157554,312046,252941,694396,817057,-1,8192,-1,458241,-1,-1,13424,-1,887937,862398,60229,-1,-1,-1,-1,-1,823325,-1,371726,536734,-1,-1,746676,-1,-1,-1,155054,-1,481693,660237,500514,-1,-1,-1,-1,-1,572467,-1,404820,65494,-1,420914,957641,-1,-1,732700,469666,-1,197397,-1,-1,-1,-1,-1,426816,-1,435571,198239,303924,-1,-1,735093,158441,681069,606346,-1,271850,-1,801643,-1,850559,-1,657382,-1,-1,341767,-1,-1,-1,755690,-1,-1,980209,-1,680146,951311,-1,-1,-1,-1,965012,-1,483413,563643,20852,177367,-1,-1,770593,-1,-1,880602,787856,174726,249478,-1,-1,-1,617734,166483,894107,673783,-1,-1,809887,823945,-1,-1,-1,-1,-1,160818,-1,16893,-1,-1,226801,-1,-1,782297,178234,-1,-1,862693,971763,333120,867075,-1,-1,-1,-1,-1,-1,755781,-1,-1,73591,-1,-1,657683,820593,-1,-1,-1,914640,-1,204444,364002,-1,-1,89730,-1,39886,50859,-1,-1,647758,311565,951929,981155,457231,-1,-1,274861,-1,781646,122398,-1,227101,-1,815308,-1,-1,-1,668227,-1,-1,-1,917366,853964,-1,433162,163500,-1,793369,-1,-1,-1,-1,231175,-1,767777,352982,525943,797405,333654,-1,-1,-1,-1,-1,720278,365048,-1,-1,215383,-1,53406,-1,712950,420212,-1,408672,-1,-1,-1,539927,-1,-1,738204,-1,403171,620316,650842,-1,980357,102653,-1,-1,-1,608266,-1,50730,81108,899280,364211,578530,315118,-1,853195,-1,621893,-1,647713,142675,685152,858306,-1,51364,258410,22761,546242,2672,-1,421783,934904,981126,-1,-1,-1,-1,735053,-1,334141,35237,-1,-1,803677,819617,-1,-1,598076,-1,-1,596768,505931,372381,-1,8226,-1,-1,-1,751672,-1,-1,-1,-1,-1,240310,-1,803758,-1,-1,-1,310665,404097,959396,-1,-1,463550,668508,-1,-1,-1,-1,532519,505805,-1,-1,-1,-1,-1,360462,-1,-1,5925,-1,513822,670932,710695,773911,899982,-1,109469,712495,989074,-1,-1,727679,983116,580753,-1,-1,840892,515309,86147,522111,973550,-1,238896,562414,-1,-1,-1,-1,-1,189967,-1,-1,-1,-1,-1,805860,163533,489091,559003,-1,836889,703054,700493,684198,483415,903565,704271,-1,-1,926175,159214,10028,101048,510611,-1,751185,919216,-1,-1,-1,625771,-1,495468,754914,-1,-1,935884,-1,963481,865721,455351,-1,967246,-1,869720,106011,-1,-1,871313,-1,-1,-1,-1,-1,-1,517806,739591,807794,-1,214090,877185,718923,-1,426867,-1,-1,622504,822351,404309,270269,-1,-1,85213,-1,-1,-1,-1,-1,526120,296252,-1,-1,-1,-1,-1,-1,328946,-1,-1,786367,-1,779844,499966,372428,-1,-1,-1,-1,-1,380147,748021,90546,-1,727760,-1,158389,316140,-1,-1,-1,-1,373304,248385,459540,341607,201731,-1,624101,-1,-1,49660,-1,-1,6267,335781,-1,-1,36363,995301,23069,-1,886489,412020,-1,-1,-1,194986,166022,-1,41361,304072,-1,-1,-1,-1,-1,-1,630898,284343,162541,467688,-1,-1,405726,53098,-1,-1,571805,813475,214019,990854,-1,-1,-1,-1,834543,513598,-1,-1,-1,-1,-1,900290,-1,-1,521099,-1,-1,647991,-1,337637,853238,161142,-1,-1,27080,19840,-1,115298,898815,957632,-1,589616,-1,641194,91583,724473,-1,-1,592065,-1,982202,-1,-1,820901,-1,-1,319733,-1,-1,-1,740835,-1,-1,397383,-1,-1,777066,375163,175170,-1,203514,942952,-1,-1,710288,998143,-1,-1,719008,372274,-1,-1,856610,313610,-1,-1,756091,-1,-1,965708,947712,236706,-1,353078,517058,601732,-1,-1,-1,304645,-1,-1,950813,-1,291936,535381,623608,308025,-1,928877,-1,370000,-1,223691,-1,-1,830302,130461,299655,504209,-1,766522,313555,-1,386093,870012,330591,748501,461969,-1,-1,-1,-1,-1,655314,-1,587410,-1,-1,-1,636278,-1,-1,-1,743427,-1,-1,825200,554292,889016,-1,-1,-1,286914,-1,958550,-1,640504,358203,836930,462480,210909,780765,-1,937808,436920,-1,-1,460959,465052,-1,-1,-1,-1,547286,-1,-1,-1,-1,-1,953191,626603,585264,557732,945849,-1,945162,-1,-1,-1,-1,-1,371915,-1,361943,-1,999024,-1,-1,181320,345786,582708,-1,-1,891801,42804,-1,-1,-1,904830,-1,-1,-1,951368,479852,-1,566907,864998,869632,-1,98315,-1,786436,-1,-1,-1,-1,716426,-1,554611,-1,-1,-1,135509,119432,-1,-1,466026,346332,-1,-1,-1,-1,128757,619680,-1,732607,-1,659905,-1,-1,852199,179091,741859,623731,-1,808020,909504,672541,432069,-1,146406,342135,-1,-1,268956,181735,-1,121216,827791,-1,808905,248759,-1,863176,707208,-1,680652,972010,-1,-1,948824,-1,-1,53975,-1,-1,-1,527733,-1,-1,-1,432934,-1,934365,149966,483200,328483,110424,459385,538407,-1,92003,772430,37729,-1,646897,579951,401716,83253,-1,-1,-1,-1,354575,-1,84315,-1,171744,-1,-1,641402,-1,705152,-1,-1,-1,127778,-1,890599,245592,-1,-1,613503,426330,463018,778037,665092,-1,-1,-1,-1,999266,-1,672740,-1,-1,-1,174003,-1,851625,-1,634194,113471,663842,90126,-1,508878,733243,476946,701996,-1,421280,-1,-1,-1,-1,108434,-1,61106,895933,-1,647237,-1,926028,424298,169817,-1,-1,451705,992137,-1,-1,439663,278756,456283,668332,346656,840344,-1,295714,986026,357821,42187,197018,-1,-1,-1,-1,-1,-1,655905,-1,-1,871369,398094,-1,-1,-1,-1,-1,807989,268068,982806,344829,799272,-1,-1,200384,-1,-1,840565,-1,-1,112685,139160,3143,-1,716866,-1,652640,760501,-1,-1,913387,-1,704226,-1,-1,-1,959992,72825,-1,79181,-1,-1,900785,-1,-1,-1,521039,985232,-1,-1,942825,-1,-1,-1,-1,322627,606020,-1,-1,874686,-1,395113,376194,521648,178535,-1,936782,631119,-1,-1,244870,634170,597830,-1,685083,432361,540711,-1,-1,-1,871380,10033,-1,599407,622398,167479,-1,904067,-1,-1,-1,-1,905096,-1,-1,-1,-1,-1,-1,4590,408013,4771,-1,388732,273774,369810,-1,-1,-1,20438,-1,-1,-1,795377,94238,398594,-1,-1,-1,-1,941403,375815,565343,-1,371179,-1,378759,234167,280268,576029,621845,-1,123498,-1,-1,-1,-1,293537,18400,730544,-1,439746,864127,-1,-1,275405,-1,783798,573001,-1,-1,665804,24819,346166,-1,-1,730053,603028,710945,282019,88269,-1,666368,125454,-1,7950,-1,-1,-1,260187,569768,478469,-1,604250,690011,-1,251667,696776,441259,613807,917157,-1,930729,-1,573094,-1,106399,-1,833838,-1,-1,464765,803992,568057,87039,849788,959424,880308,384085,-1,-1,-1,-1,697280,-1,-1,42116,745267,772404,-1,694134,560465,-1,572619,-1,622418,51786,567020,155305,-1,-1,663926,-1,-1,-1,239463,-1,-1,812122,7411,-1,527661,-1,-1,-1,642917,87619,-1,789298,-1,699783,37190,136695,182747,115382,-1,-1,263774,360819,464408,-1,543822,207839,550234,-1,-1,757388,32209,519626,-1,-1,-1,-1,583561,497004,49282,-1,-1,626999,-1,826105,517218,355660,-1,549740,163938,40364,-1,955564,288460,-1,751028,49201,542387,924418,154855,801814,-1,305883,765,170662,-1,347218,-1,-1,965679,884671,-1,-1,218903,-1,-1,-1,478714,-1,-1,823662,784218,207958,757373,434590,153429,-1,-1,726392,827001,-1,-1,-1,-1,309999,56915,174061,-1,50903,982074,231985,898103,-1,208800,595894,258150,-1,615965,-1,-1,114519,-1,-1,-1,-1,326531,-1,931120,761524,520259,883733,751355,-1,552782,-1,524048,-1,403488,-1,615593,92029,170811,197744,397365,669897,836162,18846,-1,577560,470594,178858,-1,17312,-1,606731,-1,5120,639886,529848,937320,655921,355450,-1,-1,-1,-1,654143,933307,-1,-1,45698,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,446528,792856,-1,-1,787358,703739,153478,-1,-1,-1,-1,14912,4504,333761,651695,195243,224249,-1,-1,-1,581924,-1,64387,-1,-1,-1,-1,-1,-1,-1,315428,-1,-1,266289,-1,179233,-1,-1,632633,-1,-1,-1,-1,884058,925018,850125,-1,66659,-1,-1,-1,780320,-1,-1,-1,-1,948443,-1,-1,-1,-1,-1,760041,807512,976189,557935,628214,-1,503632,128837,-1,481880,676362,278744,-1,814006,298219,-1,746257,741667,954279,593509,872259,246598,443117,-1,222087,870841,681452,859693,400758,278472,174446,329333,-1,-1,935731,448373,870938,857720,-1,-1,323002,292200,-1,-1,-1,-1,-1,-1,-1,928693,938644,-1,874810,-1,-1,410420,-1,985211,381171,-1,-1,-1,-1,-1,22704,690654,486695,-1,-1,-1,602732,-1,663611,-1,-1,138272,840201,76528,680166,262698,-1,-1,610493,-1,-1,-1,-1,-1,197600,-1,572624,457752,-1,548877,104347,493290,933758,-1,-1,161203,444701,-1,737749,590603,852128,599987,-1,-1,502831,-1,-1,129056,-1,-1,584268,-1,-1,125137,-1,694305,280584,382724,849691,985934,-1,-1,-1,522462,-1,713636,690929,927769,468392,196497,824174,-1,-1,-1,241615,236994,484327,-1,931347,-1,230623,-1,476558,-1,133951,-1,19906,771226,848082,509352,150903,575476,73145,-1,447599,35759,-1,707211,-1,698447,-1,-1,772499,173640,-1,-1,402084,780820,-1,799163,-1,212576,157200,-1,17367,-1,-1,492349,369494,670432,612475,-1,646162,434005,-1,362090,-1,-1,602129,841507,448418,-1,-1,812014,-1,418890,-1,699947,790561,-1,-1,504742,-1,986383,-1,-1,-1,510812,645753,-1,-1,719606,-1,191884,780397,-1,-1,-1,667936,174113,-1,671823,543606,534265,720019,-1,270991,906687,-1,-1,96932,930317,-1,-1,-1,333202,-1,-1,-1,-1,-1,-1,209256,912387,610933,-1,-1,-1,-1,-1,582548,-1,-1,-1,508908,792402,-1,576164,530185,296753,-1,306811,-1,-1,998682,503208,-1,-1,-1,552221,-1,773239,119448,-1,-1,824283,394630,-1,-1,-1,184258,-1,308525,958065,13880,-1,-1,-1,469527,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,929069,110240,-1,675794,482237,-1,-1,592047,292265,-1,-1,825902,-1,-1,735835,97943,342851,298936,915766,628109,-1,-1,-1,-1,-1,951757,-1,-1,554112,-1,25449,-1,191113,550488,-1,755392,780971,-1,671841,66333,-1,177149,-1,-1,537770,235257,-1,763976,-1,359599,-1,-1,62638,-1,580251,942543,-1,235426,156493,-1,439381,783371,-1,-1,-1,732581,474212,255568,280495,-1,-1,750746,157306,195163,-1,-1,354790,-1,-1,-1,432551,643550,743321,366772,655758,-1,-1,-1,601690,824787,-1,82709,89714,-1,-1,-1,120451,501499,589238,-1,-1,-1,-1,-1,-1,-1,978054,-1,-1,-1,856637,589664,369972,618720,-1,-1,405199,-1,788410,445854,-1,440215,-1,-1,571490,213417,-1,173390,-1,618621,193327,60149,772313,707000,322662,509286,-1,-1,-1,158993,-1,-1,474617,-1,982550,961429,-1,-1,801673,-1,-1,-1,119516,-1,199323,-1,580255,689924,314910,340397,35297,61609,-1,141753,-1,-1,787911,-1,-1,-1,-1,-1,932841,662103,836607,-1,-1,-1,-1,420957,-1,-1,937053,834592,161068,-1,-1,867211,497916,-1,-1,-1,759870,388541,902815,-1,-1,-1,-1,439142,225001,-1,966593,-1,882205,427379,554656,-1,-1,-1,138946,-1,769920,-1,-1,-1,-1,-1,402583,-1,-1,973278,296589,-1,39064,598295,90627,-1,226392,377760,508135,700215,-1,869260,-1,158477,-1,574277,231219,-1,-1,377304,505973,794264,960679,959093,-1,-1,-1,764501,509176,412131,10203,-1,792330,862871,639199,-1,-1,856062,587095,647648,-1,47310,-1,-1,102427,-1,-1,202915,-1,-1,54262,257373,950351,313690,401218,497621,323815,310862,-1,-1,-1,117080,280958,-1,-1,922510,-1,-1,75151,-1,-1,-1,-1,162024,-1,-1,103875,293313,-1,413347,844603,201848,582348,349213,872956,-1,-1,-1,349547,-1,251412,-1,-1,140450,-1,-1,-1,-1,12207,255261,-1,-1,-1,528216,823504,-1,-1,-1,358371,-1,443701,237590,988789,-1,531992,-1,146815,-1,-1,441902,-1,490708,360425,44624,-1,470558,384964,-1,-1,-1,-1,247425,694832,-1,735589,-1,774376,-1,108195,582283,-1,47276,-1,426446,-1,-1,-1,697163,75918,-1,670980,695020,418787,947145,422756,210044,-1,645,241799,89211,-1,-1,523762,-1,488112,573448,-1,751952,715840,292748,294302,-1,-1,545497,97214,837455,-1,47543,636172,100429,-1,-1,58416,65453,932552,-1,602641,-1,-1,-1,849378,914762,-1,28814,-1,-1,-1,993034,-1,313314,-1,782346,-1,-1,459841,610168,-1,134296,-1,-1,-1,-1,592515,-1,-1,-1,420399,-1,-1,541264,860759,-1,80787,70784,-1,-1,-1,-1,-1,709801,-1,-1,-1,928450,397165,222743,298182,680199,940209,-1,-1,-1,-1,-1,-1,-1,492897,-1,776972,682002,418259,96840,-1,-1,-1,-1,130922,-1,-1,-1,505756,-1,-1,-1,-1,-1,256,-1,315150,-1,450704,9437,931129,736834,703360,-1,-1,136654,-1,665582,-1,724722,-1,740949,355746,623959,-1,816868,-1,165260,746660,-1,520847,221990,-1,-1,-1,126469,621381,-1,344292,-1,97336,-1,-1,-1,841813,665111,874454,559153,664957,971338,252517,10364,-1,-1,-1,-1,-1,854554,904460,986469,-1,411247,-1,966696,877397,855092,798825,-1,569678,710184,-1,-1,203634,504452,694497,680689,-1,-1,348549,-1,-1,838604,-1,157364,-1,-1,795133,686499,-1,-1,-1,743630,75832,-1,169485,627702,-1,-1,-1,-1,973565,-1,-1,414802,-1,781351,-1,326234,755838,669871,637191,-1,-1,-1,-1,660378,-1,-1,581828,110349,205659,-1,-1,-1,-1,-1,629738,407972,622624,-1,418175,-1,-1,-1,-1,-1,-1,674607,221024,-1,-1,513863,-1,912921,-1,56476,946509,328762,555387,-1,-1,-1,132501,608812,396862,-1,489005,-1,-1,-1,307156,211255,-1,-1,-1,-1,-1,69587,-1,-1,-1,-1,-1,306533,-1,409026,-1,-1,-1,358092,-1,519245,884416,588045,498004,436687,-1,407153,-1,-1,-1,-1,-1,-1,-1,-1,306415,-1,681719,-1,324842,-1,329663,-1,-1,-1,691396,471158,-1,360300,87421,568605,469695,-1,335571,351062,-1,-1,-1,-1,207373,-1,234702,33717,-1,47264,-1,-1,633481,233461,-1,-1,582308,-1,425409,189883,678387,-1,-1,-1,24573,397503,-1,-1,-1,-1,-1,-1,228316,-1,499011,-1,870842,-1,-1,190803,960705,584646,-1,276952,-1,-1,-1,847208,827273,-1,-1,-1,-1,763279,606302,-1,563058,395117,-1,-1,182326,-1,242111,800292,176684,-1,-1,-1,-1,19360,-1,-1,-1,704425,596810,-1,193310,886904,-1,-1,-1,-1,-1,-1,-1,656416,48006,-1,-1,-1,-1,16674,-1,800561,-1,-1,-1,-1,674721,15144,-1,-1,-1,348873,-1,58555,-1,821923,-1,-1,-1,-1,-1,-1,-1,-1,-1,629628,-1,-1,-1,-1,297343,-1,-1,375364,-1,316211,-1,998007,890648,-1,912616,681243,313449,930755,793698,-1,-1,-1,117167,676005,-1,66655,-1,-1,-1,-1,-1,680345,-1,-1,942870,-1,948136,-1,3161,708099,384591,-1,675911,-1,932317,763062,-1,-1,331640,404932,-1,-1,395647,830168,927022,-1,-1,382892,-1,404532,623180,-1,985120,724681,130104,-1,167760,831474,889440,-1,-1,290633,191068,91731,20047,-1,999052,656638,-1,196196,296503,198713,894250,-1,-1,-1,-1,-1,721858,615120,256621,-1,-1,99918,301799,-1,-1,379793,332644,-1,-1,-1,188328,555296,-1,267964,-1,165898,81455,150734,92309,-1,-1,221511,-1,202532,840406,403449,83071,-1,-1,459086,-1,-1,-1,-1,808015,628895,968543,666693,134097,910715,-1,379253,-1,127459,95226,103161,169133,713827,635603,-1,889720,160778,694112,-1,510521,-1,-1,-1,-1,513285,975094,756163,-1,746162,-1,198492,911007,332847,841568,-1,127009,69972,61780,-1,586800,-1,-1,264983,391893,948226,-1,751208,-1,969456,292926,-1,913093,-1,-1,245339,257953,368260,855843,-1,208661,887824,467959,-1,25649,-1,819124,98985,-1,340227,667971,764135,-1,606251,580343,-1,-1,-1,657338,-1,384913,335014,-1,605174,-1,-1,-1,-1,462012,131075,491571,-1,-1,349407,-1,-1,628357,-1,182661,385688,-1,-1,-1,-1,-1,-1,239922,-1,276673,631519,-1,-1,-1,-1,420843,728950,-1,599748,-1,-1,-1,-1,-1,-1,-1,-1,73876,-1,907161,871748,-1,95527,888852,651161,-1,361266,51322,-1,-1,166010,-1,256274,533326,-1,-1,867344,765472,-1,-1,171994,-1,-1,-1,-1,980638,882794,-1,983293,-1,-1,-1,922340,462556,-1,-1,-1,112172,-1,-1,909335,375504,223615,-1,-1,-1,-1,-1,-1,-1,-1,456651,-1,903495,-1,852599,-1,752443,-1,-1,-1,368367,759739,-1,-1,-1,-1,493504,633412,791329,59917,408443,137390,-1,-1,738702,-1,-1,-1,513146,871421,-1,726557,-1,-1,-1,934037,-1,336287,-1,533226,184181,778642,-1,214806,-1,500404,-1,553282,-1,-1,688188,-1,-1,-1,-1,288134,-1,909869,-1,772361,-1,179057,-1,-1,329318,825250,-1,586192,-1,420007,978174,-1,786856,-1,-1,980275,-1,224761,-1,-1,-1,445453,494270,519105,-1,-1,-1,-1,-1,-1,-1,672050,774078,440773,-1,143436,-1,511795,-1,965129,-1,590395,-1,928193,308619,-1,-1,-1,-1,684745,-1,929490,-1,152546,887661,-1,393543,880093,687055,662445,-1,-1,-1,94327,-1,-1,105112,780383,867719,-1,641141,-1,-1,734439,-1,389215,837247,-1,340272,346358,-1,-1,-1,309709,608658,955748,-1,313365,50776,235055,369568,-1,405743,-1,619701,-1,301375,-1,-1,243216,894114,-1,-1,-1,-1,-1,-1,510855,-1,359445,507139,-1,413927,950166,626801,-1,668244,-1,-1,589166,281749,988104,-1,-1,-1,627879,-1,472966,19874,530939,-1,610830,858882,-1,-1,-1,986939,170457,-1,755465,21712,-1,-1,-1,266880,-1,-1,-1,741188,601259,749758,5692,897893,-1,-1,-1,-1,28268,-1,277001,767202,-1,-1,-1,330945,-1,416061,-1,544834,827498,-1,-1,-1,-1,-1,-1,-1,781449,-1,754087,-1,-1,923024,385918,-1,422196,147159,-1,30469,-1,-1,829156,436122,824466,-1,922743,-1,-1,-1,203914,802002,654189,732514,-1,405156,-1,-1,-1,931807,-1,-1,-1,-1,-1,-1,328343,-1,914319,938344,690835,777356,922402,-1,-1,-1,984319,-1,791562,-1,-1,-1,-1,-1,529269,611472,847079,134805,887602,-1,964914,196032,-1,399691,949509,-1,598465,-1,-1,107539,-1,-1,-1,-1,-1,-1,-1,-1,581075,605396,452893,890919,-1,932415,-1,-1,-1,-1,-1,-1,185196,-1,207903,-1,-1,-1,-1,314242,-1,-1,959446,-1,-1,-1,663447,524988,976195,-1,-1,365980,365845,681478,-1,-1,206878,611545,449144,517436,820719,-1,236661,613762,528687,-1,-1,-1,877231,215775,398370,991250,-1,-1,-1,640802,-1,327343,183356,-1,-1,-1,988921,-1,985236,812955,665884,843100,-1,-1,-1,962183,605436,67341,610495,631340,-1,-1,731960,300564,-1,611128,-1,88068,-1,481348,-1,409052,49243,-1,614245,396178,-1,-1,-1,747582,-1,-1,108627,382515,-1,263269,-1,843060,-1,713234,-1,759032,715948,-1,120136,439392,-1,818167,-1,-1,-1,-1,-1,-1,498765,305899,-1,354068,289199,-1,-1,-1,-1,894353,655519,963936,796362,-1,784256,-1,-1,-1,-1,244599,73980,-1,-1,-1,-1,50938,811886,699396,-1,-1,516990,75716,866557,-1,242668,-1,491155,-1,-1,-1,-1,-1,697471,-1,-1,-1,755573,-1,-1,-1,-1,68097,-1,112238,432337,735077,-1,-1,62669,-1,120114,833978,166724,-1,-1,496762,-1,-1,-1,-1,440149,660620,-1,-1,-1,-1,821570,652138,-1,-1,-1,47729,-1,-1,654210,-1,-1,536642,-1,880740,593846,-1,348225,-1,306251,665975,58977,52036,-1,-1,-1,22083,-1,124126,385556,312867,-1,157900,828279,555422,-1,-1,-1,-1,138226,-1,686105,-1,117773,731797,-1,205965,-1,899116,99197,266822,620204,-1,381048,214016,181065,-1,-1,-1,223117,487009,837831,481749,-1,-1,-1,-1,-1,-1,-1,436431,860042,841402,-1,-1,283822,-1,413322,301050,620437,595813,-1,394859,-1,144162,995319,-1,-1,684479,514882,-1,-1,365925,243541,-1,255087,162926,-1,-1,-1,723751,846773,915080,-1,677759,-1,681763,720644,541164,-1,-1,777165,660179,-1,375429,829537,422567,848018,766845,-1,462700,543098,247139,918201,-1,200993,833374,878788,9907,790717,431949,-1,557937,-1,-1,-1,-1,-1,-1,-1,-1,592900,464171,115559,-1,-1,-1,329328,-1,-1,178639,-1,401452,682308,999729,573902,511618,-1,985078,-1,-1,24710,-1,668775,405114,99000,477584,-1,590540,-1,-1,-1,-1,620646,123263,241744,914172,227745,131295,-1,540999,-1,200323,141002,-1,-1,679004,935527,548886,-1,-1,112161,-1,-1,-1,796128,-1,879353,408044,384363,-1,-1,-1,-1,-1,466337,766703,778375,-1,831943,-1,-1,606265,-1,967233,37469,-1,-1,-1,614877,116924,684322,528328,677727,749358,737438,-1,-1,255688,920378,634768,-1,628490,13990,-1,150052,828125,-1,-1,177507,850645,-1,857378,-1,-1,191377,586160,93266,340019,-1,-1,60791,838884,-1,-1,-1,-1,343652,637980,278936,-1,-1,-1,-1,-1,839777,-1,822491,-1,349425,839854,836240,739660,42083,396468,-1,209592,762844,-1,-1,621774,-1,-1,-1,908608,-1,332584,726578,316229,102935,-1,-1,-1,-1,-1,672226,239919,547884,848813,-1,335780,758981,48947,618067,-1,-1,916599,-1,-1,-1,-1,-1,979121,-1,-1,535173,-1,-1,287747,953959,547076,482281,309263,139983,-1,-1,267522,-1,331868,-1,-1,-1,-1,-1,376632,677401,-1,673057,195673,-1,532842,495828,92525,189383,706953,-1,-1,977350,-1,52500,604774,-1,877940,-1,617192,-1,373078,-1,341208,-1,449300,402692,174723,-1,213901,-1,303469,639373,772660,-1,-1,287277,756220,147588,672021,-1,-1,-1,-1,-1,-1,-1,930703,-1,-1,-1,-1,125781,240826,-1,-1,799040,-1,-1,-1,-1,760003,320820,-1,-1,-1,706147,-1,977394,-1,337268,-1,96807,-1,842878,-1,-1,850493,305898,266429,-1,-1,-1,94098,5569,-1,578267,696381,364436,246275,-1,-1,-1,808183,-1,732511,-1,489624,149351,-1,-1,368234,-1,415415,669794,-1,897978,-1,-1,312456,393066,698075,459561,-1,686371,-1,391930,-1,876378,-1,831781,220295,768201,-1,-1,151171,544489,758515,-1,482500,-1,-1,903646,448694,774766,193073,822777,761413,327601,-1,-1,623928,552482,829906,878038,-1,-1,-1,-1,-1,-1,-1,906929,897067,-1,580551,-1,723486,284849,72515,970621,-1,904981,-1,124226,815681,748420,760809,908341,686841,-1,-1,-1,-1,-1,576572,-1,443988,-1,555837,-1,-1,-1,652938,-1,719241,659608,-1,-1,-1,-1,646173,-1,325681,-1,406990,-1,-1,-1,211547,-1,573102,-1,-1,-1,678401,449839,433859,-1,141553,430422,-1,-1,104627,456967,312804,-1,192935,701093,-1,854858,-1,144350,-1,-1,926878,-1,-1,97516,642199,-1,293656,-1,644162,531530,682483,-1,-1,-1,-1,909721,43759,621798,447626,-1,173866,833584,616212,-1,949153,45466,-1,-1,-1,-1,248779,-1,540214,-1,-1,492475,-1,-1,-1,-1,35671,-1,-1,483624,470769,-1,-1,356402,-1,882486,216994,-1,-1,-1,-1,-1,-1,-1,978055,-1,-1,-1,744144,793830,949537,856026,970079,910242,-1,586332,-1,875040,-1,-1,703863,994219,-1,-1,296295,-1,-1,-1,-1,525904,530627,-1,-1,49753,372296,-1,531954,-1,888078,-1,-1,-1,-1,325592,374174,419004,816521,387152,-1,114662,-1,-1,886446,708790,-1,-1,517123,614623,648174,766123,269792,254678,909701,-1,-1,390736,508187,393565,364829,-1,-1,684189,-1,983327,425005,884936,-1,420472,689852,845348,-1,762757,623540,490035,-1,-1,-1,-1,783890,-1,-1,-1,-1,-1,564583,-1,-1,-1,429537,-1,-1,-1,-1,280357,-1,434702,200730,455678,-1,942652,-1,-1,-1,-1,-1,842223,978667,258828,420277,620429,-1,892767,331220,602058,603681,-1,-1,516667,430158,-1,85847,425689,288267,-1,-1,237392,-1,956017,-1,997683,718976,-1,-1,572121,-1,207660,-1,-1,562547,-1,317262,792269,495234,-1,-1,-1,-1,565226,248516,479080,771831,680074,975586,-1,-1,711326,-1,549678,862740,722531,-1,527254,-1,-1,350536,-1,677668,-1,653576,-1,-1,-1,-1,18499,-1,241918,122006,-1,-1,498249,64841,-1,-1,203609,-1,-1,-1,-1,-1,565090,-1,820221,518996,944392,-1,-1,297685,192656,-1,285139,154369,66350,-1,-1,945062,-1,-1,-1,589808,647262,28398,-1,-1,745618,785716,-1,-1,-1,-1,652813,-1,-1,-1,-1,786181,53883,509405,-1,792411,-1,538533,514047,-1,-1,78835,533713,-1,-1,347047,-1,58250,569233,-1,-1,-1,589707,936253,376240,423057,-1,-1,-1,599767,924335,-1,824739,-1,922841,-1,-1,9016,-1,139081,871,-1,697747,-1,977250,-1,-1,354473,472719,-1,796410,-1,693064,-1,306507,970689,-1,-1,-1,136436,-1,-1,-1,-1,-1,566023,-1,860267,68771,935064,399385,-1,832049,277574,542217,-1,-1,994050,647206,94800,-1,-1,715268,-1,-1,-1,-1,790422,-1,-1,-1,-1,416581,-1,-1,-1,297720,-1,-1,-1,-1,112884,114824,449715,204427,790898,328117,111348,-1,-1,572167,770211,-1,-1,-1,87872,674890,-1,404600,433299,855875,-1,-1,442525,324367,-1,909702,500487,955871,271972,970944,634169,759514,939042,-1,-1,-1,-1,134848,-1,-1,-1,475725,-1,792896,620687,632482,968714,767909,922501,299438,-1,393275,710981,501241,-1,-1,-1,-1,506828,-1,-1,370593,-1,947090,700713,361510,-1,-1,835826,667828,324706,804046,822684,-1,33498,562786,-1,894380,-1,-1,275002,58123,250744,394105,255704,905820,-1,167285,91241,-1,-1,517309,-1,-1,-1,217910,311503,-1,-1,-1,-1,118725,-1,702503,-1,29337,117763,-1,-1,-1,-1,79923,819509,142175,647104,-1,-1,841666,-1,683355,520700,642298,-1,741710,561443,-1,-1,268026,207669,942816,-1,-1,847441,-1,260615,-1,865330,-1,-1,540603,542098,-1,-1,-1,-1,148444,265566,-1,-1,807596,587273,-1,-1,799050,696858,-1,760794,-1,665355,970777,946142,816791,741114,567211,475641,204484,3864,291478,-1,616840,334432,953122,-1,511419,-1,597266,787864,-1,958678,547119,330301,434560,-1,59478,-1,-1,-1,979105,-1,-1,-1,971601,324017,-1,430218,763736,212559,-1,331040,256266,578194,-1,856221,-1,449742,542250,69316,-1,182629,12227,763032,573767,794292,111182,491375,267092,553216,-1,929461,24396,-1,-1,-1,-1,-1,-1,462681,-1,-1,-1,-1,962273,849186,-1,247398,590790,146065,392877,-1,32061,626954,-1,751487,-1,-1,-1,615651,952704,780410,301779,-1,-1,-1,-1,190501,685745,609487,454007,-1,624297,281242,-1,288040,-1,-1,-1,-1,761657,-1,858363,-1,27446,-1,-1,167146,-1,-1,787849,-1,-1,-1,662948,417942,972971,302481,-1,-1,965252,-1,-1,-1,612101,688814,651926,476459,-1,-1,200800,611820,700222,228931,-1,-1,659094,-1,-1,-1,-1,-1,769659,-1,-1,405411,375091,-1,286384,122903,75053,-1,-1,624134,701935,352312,477515,-1,623914,-1,316518,67684,-1,141509,370080,50920,-1,591904,-1,464894,126010,313329,343461,-1,-1,-1,-1,205905,-1,126274,-1,-1,-1,-1,918980,423877,-1,896553,-1,-1,-1,-1,-1,-1,44105,-1,-1,-1,-1,-1,757907,-1,289863,-1,472060,632915,964362,-1,-1,-1,-1,876007,-1,341097,-1,590680,-1,-1,-1,-1,-1,782322,923577,-1,-1,-1,185629,335738,212372,838509,-1,455856,191212,691136,50739,-1,-1,913725,119835,-1,-1,397205,368494,-1,819205,-1,-1,672596,178429,785334,-1,-1,-1,-1,782111,409792,-1,-1,-1,-1,-1,-1,-1,-1,-1,745363,-1,838127,831558,14065,957442,418295,737751,304596,-1,-1,221962,-1,232252,-1,-1,595796,894869,561062,127278,92198,972539,-1,269768,-1,-1,922080,58107,-1,276335,6283,11244,-1,844389,-1,327450,149457,61257,977717,247450,131000,756202,-1,-1,996748,60950,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,752915,-1,619792,481470,-1,482675,-1,647134,381032,834133,-1,270498,-1,309983,-1,512845,539743,944333,-1,625574,86898,-1,135711,-1,368192,774036,-1,594296,752129,260232,339927,389611,722182,59557,-1,132361,-1,-1,-1,757911,-1,396678,639036,-1,680291,-1,-1,-1,-1,-1,-1,-1,472371,-1,-1,-1,-1,273712,-1,-1,-1,431401,622122,-1,705582,-1,-1,524539,-1,630902,-1,53648,-1,900014,-1,109124,-1,76522,100158,-1,-1,550476,506600,634503,945738,-1,973439,-1,-1,-1,-1,245570,683767,-1,783730,-1,-1,-1,-1,-1,-1,480952,364133,-1,-1,396044,-1,-1,-1,538658,-1,-1,-1,-1,526464,975135,483832,-1,-1,-1,228656,-1,518314,244495,-1,-1,30022,-1,449457,693192,-1,106864,232851,882121,-1,-1,144531,-1,-1,883067,288752,775212,-1,485193,-1,670271,676748,-1,534389,917160,-1,834769,-1,-1,991111,-1,-1,-1,267617,942843,-1,883094,-1,755367,950887,675170,-1,528850,-1,37962,-1,730782,-1,-1,-1,710338,790705,369971,-1,636919,-1,-1,-1,553493,-1,875848,-1,734535,-1,828032,-1,867522,775942,-1,854380,-1,-1,171052,-1,705018,272569,480426,-1,29682,531647,215273,-1,117872,163530,-1,-1,-1,260847,-1,109050,-1,-1,238899,-1,-1,337197,-1,856256,232709,654774,-1,659763,545615,506662,857886,364543,2524,217855,-1,-1,903491,-1,-1,-1,874078,-1,589634,584907,-1,-1,130776,-1,486885,-1,492162,-1,-1,-1,51761,-1,-1,-1,43014,-1,-1,224770,204404,-1,-1,-1,503832,-1,-1,-1,300371,-1,990537,-1,555006,544019,-1,-1,3612,-1,-1,319860,-1,824075,-1,-1,-1,579872,-1,-1,-1,-1,-1,76982,32377,290246,-1,822350,406271,976229,114078,-1,-1,-1,58060,382239,402410,-1,-1,-1,-1,-1,-1,585581,398876,-1,-1,-1,472090,957500,-1,-1,-1,-1,76161,35368,214560,209438,-1,-1,633318,839853,-1,-1,459494,-1,625801,-1,25379,996508,455952,-1,774386,-1,944946,-1,722733,899252,277765,-1,930105,-1,-1,-1,805076,439527,9400,778527,-1,-1,370679,606135,-1,933961,-1,-1,845628,-1,676712,-1,394304,-1,-1,-1,446542,-1,164543,-1,852162,-1,-1,658470,-1,236922,589996,883786,-1,-1,-1,494898,-1,-1,-1,821242,-1,-1,-1,368258,-1,478020,-1,-1,38540,64092,278681,520532,651587,-1,-1,25959,767655,-1,643381,365962,-1,-1,154695,89335,-1,-1,-1,266744,738553,40167,462884,-1,747378,-1,-1,-1,-1,-1,395515,2457,325615,-1,975429,-1,-1,529768,57152,-1,-1,742575,759367,887326,-1,-1,184810,-1,-1,875934,378194,-1,206767,-1,224017,834464,-1,-1,-1,-1,-1,392580,984139,-1,-1,-1,907861,-1,510567,-1,-1,538082,-1,948714,645757,623203,433832,719559,638976,-1,-1,-1,-1,854705,84665,-1,8579,794512,-1,256654,-1,44903,-1,493438,772930,-1,92846,-1,-1,356837,-1,793113,-1,308432,-1,645150,333974,267861,427078,154836,215755,777195,-1,-1,-1,321926,712669,-1,-1,-1,-1,-1,-1,64035,68924,-1,635825,-1,123391,784768,187828,373216,-1,7590,272547,164020,878834,-1,214305,905568,-1,289609,514002,-1,764217,338768,-1,-1,543396,697766,-1,341458,74478,844359,-1,-1,-1,-1,-1,494946,950575,335355,-1,-1,-1,-1,-1,-1,319357,-1,344575,55800,-1,210802,460713,-1,272990,296916,245522,-1,-1,-1,-1,233455,163956,497056,-1,-1,-1,435942,-1,-1,47094,-1,564640,-1,880356,-1,381173,53211,-1,957827,-1,226449,-1,261043,919675,-1,-1,-1,801121,355344,534040,-1,57297,-1,904441,278821,222148,985433,-1,646824,201270,839328,983127,365194,-1,954353,-1,228568,352800,485386,465481,-1,-1,-1,395178,-1,-1,647435,572585,183692,-1,-1,-1,307717,-1,802330,-1,-1,-1,523190,320090,-1,100815,308754,-1,7368,-1,-1,-1,-1,-1,631794,169364,-1,440839,688130,813748,533128,-1,-1,602855,-1,791061,-1,220314,10742,865251,-1,950522,-1,287230,-1,-1,-1,-1,-1,-1,-1,-1,993341,282283,385507,207319,-1,768235,-1,936881,-1,951611,537558,52319,-1,-1,-1,929193,276345,-1,-1,365764,-1,-1,996842,-1,995837,382457,11032,324511,95217,471240,374038,899015,-1,-1,856937,-1,548585,-1,-1,-1,-1,-1,913740,-1,-1,149995,-1,444191,627048,695234,226368,-1,-1,405613,-1,564714,43701,717494,-1,644471,-1,276393,-1,918460,870493,682510,-1,601939,-1,-1,312160,51156,685530,-1,709863,-1,195574,194645,-1,765719,856763,-1,354512,-1,-1,-1,-1,633423,-1,-1,-1,-1,836655,-1,74697,780024,518661,451169,140790,-1,622874,816379,884649,-1,860985,358462,645188,943728,-1,990011,986285,702709,-1,-1,655399,220395,-1,-1,-1,44844,691781,460621,223209,834046,612482,390498,-1,973448,-1,-1,940052,-1,-1,670170,-1,-1,-1,-1,-1,-1,-1,470869,458681,-1,-1,199133,62573,385886,-1,-1,16991,608128,201697,507324,-1,973029,427123,-1,849148,462321,-1,-1,-1,4018,-1,816825,431084,-1,983523,-1,267764,17204,820695,-1,-1,-1,-1,-1,-1,-1,838202,-1,348627,-1,739284,-1,959114,823080,206800,-1,575169,-1,661149,-1,440347,181015,-1,733484,520106,407441,-1,404593,830730,-1,794170,538481,180069,-1,762454,-1,510084,-1,258339,-1,922654,616729,-1,-1,732318,683081,-1,-1,-1,438535,590425,338654,-1,67889,-1,-1,-1,519579,814265,168697,120574,-1,544340,-1,601000,-1,738394,826081,-1,-1,-1,-1,-1,208816,-1,971663,289866,888230,310631,-1,714045,-1,-1,876586,551583,326858,-1,772536,167661,921417,779638,36947,-1,657660,139353,200498,-1,479445,662288,-1,-1,-1,404795,-1,357438,855302,324038,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,642769,-1,-1,-1,-1,533179,-1,-1,-1,73038,346123,720111,-1,25400,292771,155708,805480,-1,951875,-1,434947,-1,105695,482557,-1,-1,185205,-1,804410,314507,-1,911930,372009,-1,-1,-1,298527,-1,-1,928273,33344,529403,-1,701990,185628,-1,293686,987459,-1,-1,-1,799369,977471,145959,827535,642696,549145,-1,74563,-1,485310,-1,-1,94512,-1,752873,452124,173476,55132,-1,-1,-1,98074,-1,488880,272799,692141,453816,246322,-1,684913,-1,-1,-1,993170,646480,-1,526260,-1,-1,-1,633125,-1,250060,-1,432333,-1,-1,-1,-1,107745,411947,-1,361568,81679,-1,818557,58943,748492,-1,774045,-1,-1,-1,-1,-1,-1,993564,-1,-1,-1,235355,-1,624152,-1,-1,652808,451381,667288,991133,998613,415598,860128,-1,226712,311240,-1,-1,-1,-1,-1,293801,563362,-1,-1,293808,-1,-1,727591,-1,508085,-1,-1,692075,-1,688469,-1,-1,-1,233417,-1,514662,-1,-1,841228,937796,-1,-1,888501,460759,384017,763225,-1,999832,-1,-1,-1,45417,662573,220131,-1,-1,-1,-1,969222,182231,-1,682530,-1,93163,922125,-1,-1,-1,244802,287373,207474,753701,-1,-1,-1,295658,-1,730651,-1,-1,689695,-1,656382,816652,458351,-1,-1,-1,-1,127411,-1,964836,-1,-1,-1,-1,456765,777375,-1,588276,-1,723499,-1,614716,-1,-1,-1,-1,864068,115029,900783,272840,347974,877186,-1,-1,212369,901261,435182,-1,-1,679442,726556,148816,848398,861535,549091,283473,-1,-1,366602,180827,223806,316282,713803,116918,-1,624295,-1,-1,461926,744666,-1,-1,-1,637757,-1,-1,497280,-1,239806,-1,305420,607708,-1,258644,350654,-1,-1,772492,-1,493365,453431,-1,-1,676865,-1,-1,784104,-1,326468,929822,-1,603533,751117,-1,513751,-1,817722,-1,205045,260349,-1,-1,-1,-1,-1,628271,555772,821649,628556,-1,556573,81457,-1,217073,58927,554939,600478,573669,842639,641248,-1,-1,-1,918080,64716,185224,-1,-1,931707,-1,-1,-1,229528,-1,-1,-1,-1,-1,576329,433527,-1,402356,-1,-1,-1,979803,-1,-1,-1,-1,274145,168408,-1,300267,420969,301809,590778,43115,496620,-1,-1,-1,-1,678283,-1,193186,-1,-1,979286,461346,582198,-1,-1,-1,-1,264951,969749,421099,526721,-1,-1,-1,-1,-1,-1,-1,-1,468808,-1,-1,992427,-1,632036,-1,556127,-1,609367,-1,358227,689463,232364,283746,382714,679835,-1,566163,415936,629382,-1,984687,904183,68710,804713,-1,146004,-1,-1,725451,-1,-1,-1,-1,-1,231739,-1,-1,-1,-1,21570,-1,883942,-1,-1,535572,-1,622871,797128,-1,-1,128970,608017,-1,730148,667044,492782,-1,466734,191777,95351,-1,966561,495671,-1,-1,338537,-1,-1,-1,-1,-1,-1,-1,512737,-1,-1,-1,-1,693910,-1,-1,-1,-1,-1,-1,836131,8232,-1,-1,528987,316656,-1,890241,568625,845563,372911,-1,-1,605223,-1,-1,628829,73659,980805,-1,75482,571170,-1,518096,363243,-1,720747,117755,745275,710639,813709,-1,3565,-1,170969,82702,-1,282951,45994,303424,212278,-1,254564,-1,-1,854875,-1,89670,669604,-1,-1,-1,-1,-1,74896,-1,-1,496581,870660,177498,-1,-1,-1,524673,461153,-1,-1,-1,-1,-1,-1,924609,-1,775322,-1,822836,697467,-1,-1,200584,10381,190070,-1,-1,-1,-1,402185,157275,55489,-1,-1,290213,652074,-1,-1,-1,-1,-1,651306,623030,50636,-1,-1,817693,375819,27382,-1,489265,-1,-1,399315,869343,473908,-1,172945,-1,-1,590404,-1,-1,497491,-1,-1,852609,822529,-1,311881,152297,-1,720575,745098,669326,-1,203389,199864,-1,-1,-1,951815,40119,-1,159003,159438,21843,873778,-1,-1,339020,-1,-1,-1,12231,-1,-1,713083,-1,-1,982785,-1,-1,213393,3464,-1,525270,970595,-1,904880,525931,-1,577776,-1,-1,306818,-1,-1,-1,-1,278466,-1,-1,943856,-1,372535,695459,812619,-1,-1,-1,-1,941328,917963,-1,969437,-1,341680,-1,-1,-1,-1,-1,597016,398595,571840,992149,-1,753838,-1,837254,813039,-1,746674,103839,78251,-1,322646,-1,-1,-1,556876,-1,-1,268433,-1,101572,-1,-1,488439,-1,-1,-1,-1,-1,162355,-1,858587,-1,245104,710453,278204,125597,448480,334862,120093,61421,-1,-1,-1,-1,757550,-1,153138,102675,-1,876357,899940,546850,-1,905626,248197,256774,662520,17535,-1,276622,-1,239897,178844,925195,-1,26787,-1,-1,-1,635814,-1,-1,-1,532403,-1,981616,-1,382121,-1,19011,-1,-1,915315,773405,357245,-1,-1,480536,-1,55505,609485,791458,-1,-1,-1,-1,-1,170842,-1,-1,180031,753857,127675,439060,479780,-1,-1,-1,-1,-1,-1,764613,-1,-1,726468,-1,936326,-1,265156,-1,-1,-1,849462,-1,792959,-1,-1,716017,-1,-1,730046,-1,-1,-1,-1,483676,-1,-1,293468,-1,-1,551990,809813,690434,840588,-1,-1,818197,968771,370393,-1,136163,-1,140252,-1,185378,905074,248752,-1,-1,-1,594045,-1,944545,973553,-1,355089,-1,850688,243828,-1,561935,-1,55054,-1,-1,-1,-1,161836,-1,-1,909799,-1,209002,-1,414449,444959,779999,70712,-1,-1,210170,-1,182774,-1,332088,-1,-1,839744,-1,-1,-1,-1,340248,-1,-1,703058,-1,-1,-1,-1,-1,-1,-1,-1,435176,-1,469510,-1,824269,119574,-1,-1,-1,-1,-1,-1,-1,-1,-1,657631,-1,-1,-1,-1,107706,288521,259493,-1,537138,247523,273658,207564,-1,-1,683228,-1,600784,-1,316911,75694,843288,296018,246190,-1,-1,447031,-1,536146,-1,-1,-1,397513,-1,-1,-1,596394,-1,952442,794235,-1,-1,-1,539161,-1,-1,200515,-1,-1,220377,430585,504979,-1,849697,323979,378351,-1,-1,266126,676159,-1,-1,-1,20351,-1,-1,-1,46109,-1,578826,32419,255436,244982,-1,732884,477802,888292,845035,400325,24717,227801,825299,-1,-1,850339,664617,492901,310286,840688,210027,622914,-1,-1,-1,-1,106168,379471,824227,-1,187439,542072,-1,811555,240209,332080,-1,835667,804529,-1,-1,76283,-1,245491,963393,-1,-1,-1,-1,-1,-1,148996,-1,-1,-1,-1,560766,-1,-1,674045,986371,-1,-1,-1,-1,802028,461473,108203,-1,193797,614170,987006,-1,-1,181842,391751,-1,-1,383593,-1,514481,2875,564554,-1,-1,-1,-1,83741,-1,-1,-1,-1,-1,34234,-1,-1,238010,-1,52424,381149,20551,544944,924490,172701,-1,598054,282251,738251,99654,-1,993412,-1,-1,151792,895405,-1,-1,-1,-1,177723,275508,575015,749149,-1,616359,775802,633585,-1,-1,213753,945330,780873,-1,-1,131787,663919,-1,544862,-1,705870,382786,-1,257502,809422,937459,-1,224259,395066,536657,-1,-1,97162,643071,-1,-1,-1,726793,708284,-1,622543,166338,-1,805872,-1,-1,-1,675123,911502,200549,-1,-1,-1,270087,100505,-1,-1,461169,797370,368320,643750,-1,-1,-1,-1,389089,684292,-1,205216,689384,-1,-1,-1,-1,921337,-1,155796,-1,133504,-1,-1,502328,800131,-1,-1,-1,507789,112999,351368,839446,77752,-1,477124,-1,-1,-1,-1,656577,971987,812695,-1,-1,-1,815617,492592,-1,572353,-1,589057,-1,16742,78319,-1,-1,149798,-1,87633,-1,375473,904205,-1,604767,-1,-1,-1,-1,-1,35197,-1,-1,-1,768900,994569,523493,933011,48048,-1,584686,-1,-1,-1,417413,-1,448961,662688,-1,883999,219741,255051,985299,987619,-1,-1,-1,-1,-1,-1,-1,828542,-1,880823,859422,-1,-1,-1,-1,502541,-1,131728,-1,996461,21632,-1,-1,-1,-1,-1,-1,-1,480526,-1,724131,15298,-1,-1,-1,-1,385069,-1,350852,308928,834187,-1,559529,-1,-1,-1,630389,49223,-1,796476,294745,165893,-1,-1,-1,-1,-1,-1,18969,442764,-1,419493,-1,913967,-1,834066,68543,-1,-1,426566,800360,-1,616860,719178,-1,375145,151730,-1,889602,181619,-1,-1,-1,-1,-1,-1,262645,849468,-1,-1,361872,-1,812900,456835,-1,423255,537915,-1,597971,-1,-1,-1,324361,-1,-1,-1,820340,-1,207170,719300,249645,76647,-1,-1,-1,867808,53017,339632,-1,641568,77104,132564,616029,393816,591812,623768,280528,36027,-1,895814,-1,866951,-1,-1,883681,-1,-1,149172,-1,-1,-1,-1,582691,-1,-1,809973,-1,-1,113548,388123,153277,-1,-1,-1,173787,-1,401864,321482,651488,-1,34899,-1,580081,629341,44729,264753,-1,-1,251966,82870,-1,-1,-1,-1,-1,-1,816280,-1,981006,420527,-1,587921,-1,463482,-1,400509,-1,445983,-1,121723,497871,-1,867162,-1,-1,502669,-1,277918,894958,-1,-1,-1,-1,252745,-1,-1,-1,853152,632619,-1,-1,160521,953724,-1,565655,467061,245324,975488,417557,913904,221439,-1,-1,-1,615539,950661,320914,-1,-1,-1,-1,-1,-1,-1,31277,175751,138035,-1,990142,-1,202123,-1,-1,-1,530151,169268,765881,521114,-1,-1,4545,735474,-1,-1,-1,-1,-1,-1,941626,-1,-1,-1,287359,504465,-1,562159,148347,-1,32452,542357,781804,-1,-1,234569,-1,371091,-1,12646,294113,59865,-1,627294,-1,913990,4832,-1,784766,59159,808663,470711,405083,687316,-1,663830,-1,15476,986603,-1,-1,383085,712311,-1,87811,-1,-1,-1,508645,-1,566093,-1,537487,934355,57171,954190,331090,-1,760473,-1,-1,771106,-1,782716,-1,332283,443084,456100,-1,-1,-1,74647,-1,105106,-1,116342,-1,450097,748521,798514,-1,262893,196334,-1,473364,-1,908734,385130,-1,167271,-1,235026,-1,-1,-1,927360,-1,443468,994351,-1,-1,441616,-1,-1,-1,437370,175699,636812,-1,831961,251181,268844,-1,-1,-1,-1,-1,761272,-1,-1,-1,-1,-1,-1,722765,435244,4151,748321,-1,125862,961231,583799,-1,233522,223888,-1,174711,928840,-1,890921,-1,719159,662372,406463,686719,-1,-1,-1,-1,-1,-1,-1,-1,-1,636692,396424,-1,920814,-1,-1,-1,629055,327545,-1,673179,-1,473442,122784,815203,111342,636756,-1,-1,-1,-1,-1,598325,-1,-1,354382,-1,380666,-1,880280,-1,254350,311191,-1,-1,-1,-1,-1,-1,-1,568637,-1,-1,-1,368277,969501,335347,534198,698675,760543,-1,-1,254328,-1,-1,-1,-1,553627,-1,728705,-1,783709,-1,-1,794807,189333,-1,769046,-1,137880,517504,533295,-1,917334,911942,-1,-1,-1,778389,708993,458587,125752,196204,-1,995236,-1,-1,240775,63095,649054,777541,-1,474723,-1,-1,501064,442273,342518,-1,-1,5504,-1,353853,-1,-1,835699,686571,-1,-1,680589,198287,29888,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,897778,-1,-1,310660,-1,797882,-1,-1,-1,22829,-1,-1,335861,324680,666626,438130,876765,-1,-1,8335,-1,145545,207577,597661,162065,-1,487101,-1,-1,-1,-1,351858,-1,487355,597294,617156,-1,90605,-1,546995,852271,-1,-1,-1,-1,720340,-1,-1,-1,-1,462494,-1,-1,-1,-1,342527,366139,278087,-1,-1,-1,-1,855836,-1,470266,163566,-1,-1,-1,987199,970945,-1,728777,532169,635316,-1,26983,-1,767844,581941,-1,395643,-1,-1,-1,-1,-1,-1,-1,-1,709723,-1,940733,534561,627095,718308,-1,-1,-1,11225,-1,369503,-1,609784,411523,-1,-1,-1,-1,605403,-1,205245,554225,617941,721960,805830,-1,889873,932518,-1,-1,-1,-1,-1,-1,-1,56064,-1,-1,-1,-1,-1,-1,-1,-1,-1,194090,-1,-1,-1,-1,-1,-1,616530,338294,-1,-1,-1,947323,-1,-1,-1,142376,337281,-1,-1,980102,933310,270672,568739,-1,972789,66437,451451,755044,3684,-1,-1,408156,-1,-1,-1,544474,855325,512404,342865,-1,220899,163303,4971,784314,77812,-1,686441,794527,343212,-1,-1,-1,433080,-1,577897,256482,85048,10069,-1,280216,242877,897286,242180,-1,-1,72214,662936,353723,-1,-1,606709,-1,776349,-1,421063,-1,901569,419916,-1,-1,-1,-1,-1,-1,41711,-1,891442,-1,814656,-1,816901,-1,137052,747794,-1,444664,-1,636141,36732,-1,-1,-1,-1,462327,-1,204354,-1,-1,-1,349374,754293,551670,-1,-1,580842,-1,-1,-1,-1,95317,382640,-1,557112,-1,-1,997675,516949,75962,-1,290813,790060,467260,464330,-1,-1,-1,-1,-1,-1,26863,-1,134834,-1,-1,-1,444271,-1,-1,363745,-1,824451,437367,-1,611141,-1,175679,441385,-1,735554,549286,-1,-1,-1,893971,-1,-1,552401,-1,-1,-1,-1,740549,671212,-1,607971,-1,-1,-1,770920,167982,-1,-1,-1,822948,57131,952056,-1,-1,469059,-1,-1,-1,215803,820398,-1,74128,569419,533957,-1,913186,876513,920888,-1,-1,-1,-1,645434,-1,-1,-1,515024,-1,-1,300388,18924,-1,704929,194134,-1,-1,-1,536089,-1,236579,-1,-1,889225,-1,-1,-1,534441,629472,355572,743668,355858,550821,-1,-1,-1,348582,-1,109338,890835,418836,-1,617666,720521,227125,-1,-1,414726,710190,-1,-1,-1,951004,-1,260908,-1,-1,780056,-1,249508,-1,832582,610863,451723,610390,-1,-1,-1,-1,849425,169768,-1,285547,308876,205836,860243,527411,-1,-1,208055,-1,-1,-1,801192,681975,602021,709343,427914,805561,-1,197135,-1,-1,-1,340820,672409,943531,-1,379193,440655,-1,816122,-1,-1,627069,-1,318381,821051,99973,-1,-1,863974,-1,266499,-1,-1,-1,-1,994105,526387,-1,391314,-1,-1,372203,662596,-1,-1,313487,208350,-1,-1,912338,-1,-1,-1,138544,-1,-1,-1,337994,151804,180665,-1,-1,-1,-1,-1,694554,-1,158155,384206,-1,139151,-1,267201,-1,-1,414181,415114,-1,-1,145116,-1,-1,-1,739359,-1,-1,-1,-1,573361,-1,-1,-1,-1,599120,-1,-1,552413,272810,888028,-1,62767,609223,-1,502335,253022,625939,-1,751532,331790,78609,-1,-1,416231,244563,-1,583686,237050,821204,954451,-1,752335,-1,-1,-1,-1,892529,-1,-1,659316,-1,900690,-1,674586,-1,791344,-1,-1,-1,433640,-1,-1,631273,24116,118487,-1,665094,307791,-1,315471,500634,-1,-1,-1,605246,-1,-1,166434,595611,953446,16486,551862,-1,785677,45873,-1,14516,-1,-1,-1,-1,132745,398422,-1,549879,-1,753578,471457,35112,57145,-1,812596,809253,467148,-1,242914,920863,-1,-1,591212,-1,-1,-1,536632,701675,-1,-1,-1,-1,-1,944880,920815,-1,-1,248990,-1,74873,42803,516515,-1,-1,-1,21264,318637,-1,-1,-1,-1,968804,-1,17744,-1,370441,536161,-1,547612,-1,-1,584533,851205,-1,-1,-1,241193,367837,56777,-1,-1,101258,-1,-1,-1,-1,631284,-1,734581,863095,-1,-1,26842,830266,488485,886967,-1,183803,-1,-1,-1,-1,-1,762261,-1,259870,760806,-1,798210,546920,-1,-1,68033,395838,158565,-1,370396,-1,299842,71211,975963,-1,326971,-1,-1,-1,472330,-1,969745,448900,-1,698947,-1,-1,709184,657055,-1,-1,-1,-1,-1,-1,643627,435380,457869,-1,232907,337449,-1,-1,-1,100063,-1,-1,933772,-1,-1,766352,-1,414736,-1,-1,-1,-1,-1,398416,-1,965690,-1,-1,715449,-1,564460,-1,-1,372497,700652,782714,-1,-1,-1,399225,713984,668488,-1,-1,-1,859377,581419,173029,938329,649665,-1,-1,-1,-1,-1,499868,-1,-1,31929,355951,483600,402103,-1,325329,352210,-1,-1,944004,-1,-1,-1,-1,-1,-1,-1,36952,854415,296625,-1,793168,-1,-1,100993,73765,602888,-1,-1,582140,-1,-1,212901,-1,544034,900660,-1,-1,860577,-1,789487,-1,-1,-1,779517,-1,515783,476609,-1,-1,12696,208530,-1,618700,384174,-1,-1,103479,-1,373823,-1,-1,56247,-1,18302,866836,-1,-1,409338,-1,359976,-1,156549,-1,-1,701485,-1,233758,-1,614631,687581,393460,67975,235617,716043,333967,-1,765877,341981,-1,298950,-1,179192,111758,-1,-1,813284,403227,-1,595196,312661,-1,592093,434430,-1,-1,-1,24071,-1,-1,-1,-1,627440,-1,-1,-1,-1,-1,-1,995401,867690,684443,-1,247823,-1,-1,-1,757533,-1,-1,816533,993475,-1,-1,107011,-1,-1,-1,92454,-1,642250,308614,30116,197646,-1,647015,-1,-1,-1,616959,760503,-1,640179,-1,801947,-1,-1,-1,896832,-1,-1,58752,-1,-1,779106,-1,-1,-1,-1,288325,98220,168250,-1,893465,350640,810871,-1,324588,697581,-1,-1,759555,534819,-1,-1,364248,303264,-1,64654,753000,111828,622450,-1,299211,-1,-1,663018,888532,-1,16121,-1,685443,41260,-1,-1,914030,-1,122641,-1,-1,-1,944115,-1,356223,-1,-1,887530,325355,-1,-1,53088,-1,-1,-1,882668,-1,-1,-1,781895,-1,-1,707452,952396,753605,-1,-1,714369,729271,401284,66983,768492,-1,976114,-1,547418,-1,357677,-1,-1,908155,-1,176183,-1,-1,-1,965326,-1,-1,-1,50845,-1,409050,501028,-1,-1,-1,860365,382942,-1,-1,-1,790821,422692,-1,-1,-1,-1,826465,-1,-1,-1,300045,769635,738822,320359,309612,-1,-1,417267,-1,393875,-1,-1,574969,623765,131893,616836,-1,29453,-1,-1,854853,598784,-1,-1,-1,-1,-1,670884,-1,-1,-1,-1,-1,-1,272063,-1,168435,-1,-1,-1,239517,453724,-1,94467,-1,-1,-1,-1,399665,-1,-1,-1,-1,-1,-1,-1,193118,888240,815079,-1,-1,516251,215190,534067,-1,342750,788289,-1,-1,967064,847013,-1,724455,397449,-1,-1,45217,86780,251467,-1,961742,-1,405520,-1,-1,140183,-1,543217,325544,21667,-1,-1,-1,20501,30037,-1,661231,57886,66006,-1,-1,-1,124855,50645,891127,-1,50654,315816,-1,-1,-1,566241,105944,144840,-1,-1,-1,-1,785645,-1,-1,698168,-1,-1,829151,-1,305919,-1,907248,566708,-1,442057,183076,992251,845565,-1,-1,-1,-1,104124,459809,-1,969451,-1,-1,-1,-1,602475,-1,-1,691213,795957,-1,-1,-1,-1,-1,-1,-1,79182,-1,-1,732971,610350,297242,-1,148887,807090,518270,712123,-1,990805,672494,-1,175509,730940,398404,-1,-1,790609,215506,-1,34062,933390,175530,145428,918727,-1,502710,9875,-1,-1,-1,932473,-1,434182,-1,-1,-1,466517,492761,236340,798280,-1,616130,911759,-1,-1,730503,798844,60137,-1,695144,418626,-1,-1,12071,-1,949487,-1,-1,251935,132941,561045,-1,748209,-1,509564,138396,198467,120569,-1,-1,768306,249717,-1,541357,-1,923255,716836,16238,-1,-1,611512,18190,807731,749901,-1,546876,-1,-1,715161,-1,809261,957738,-1,367737,-1,348640,884844,-1,-1,-1,347800,750975,188423,607510,-1,-1,-1,303692,-1,-1,-1,982478,-1,928175,-1,445872,640208,-1,-1,713973,298980,-1,67447,53097,-1,-1,-1,569685,-1,-1,-1,-1,-1,-1,-1,-1,408165,-1,-1,243571,-1,275309,-1,539059,968315,-1,-1,672874,-1,-1,520006,441363,724588,-1,-1,586240,-1,10062,65919,-1,-1,300120,359628,-1,139400,-1,-1,165228,782544,-1,40786,706553,166580,75558,58734,-1,6485,-1,391566,-1,-1,-1,-1,-1,350850,-1,770841,284289,-1,-1,-1,745076,465777,421860,277378,-1,-1,433021,311821,-1,-1,84401,-1,696837,-1,-1,-1,496790,577481,412546,-1,786665,-1,898044,187829,-1,367528,141213,915112,-1,-1,59514,338854,143580,194125,229025,951374,994372,-1,-1,-1,825360,-1,691546,-1,-1,-1,417779,-1,-1,762725,-1,244345,-1,201934,669952,209559,-1,24553,-1,-1,775114,-1,-1,-1,-1,495540,-1,219736,-1,-1,406246,154930,-1,760599,425821,136866,79955,180241,-1,-1,430367,33472,-1,-1,206244,-1,93820,-1,570503,-1,-1,-1,358065,-1,913590,399701,970169,942232,501048,22805,-1,3076,388590,363079,-1,-1,728863,460033,658547,-1,860981,-1,-1,164828,-1,49095,-1,-1,638360,175057,-1,-1,402276,567234,510058,-1,-1,579130,463909,295323,-1,822530,-1,466640,518626,145791,-1,-1,812781,398059,114851,-1,783667,912196,-1,-1,-1,813603,481724,-1,663992,-1,719467,866678,-1,-1,682463,307280,80567,847146,533525,-1,-1,-1,-1,-1,86400,-1,796886,512542,-1,-1,67553,-1,405304,241289,-1,-1,-1,356308,-1,-1,702177,-1,-1,100111,-1,-1,799810,359778,-1,295403,837742,818512,889716,37234,545135,729981,-1,221288,532095,-1,-1,704616,-1,-1,980549,-1,-1,789071,159693,107719,848655,-1,532601,-1,-1,407575,-1,-1,710670,-1,-1,-1,339607,37187,853640,-1,-1,216113,667672,-1,-1,-1,-1,324062,931127,874997,-1,343912,-1,-1,-1,334084,138089,-1,664484,730700,-1,-1,-1,413246,-1,645141,-1,-1,-1,106175,-1,-1,-1,256329,340550,619353,-1,-1,-1,-1,82886,-1,-1,499716,-1,-1,13018,-1,495954,-1,-1,-1,-1,-1,855611,911707,-1,914294,-1,-1,343141,-1,329327,566901,-1,394567,-1,-1,-1,-1,-1,-1,156476,-1,-1,-1,96051,-1,181975,445788,-1,-1,-1,876127,155979,313813,604350,793216,394203,942563,-1,551390,-1,523021,-1,576723,-1,75623,-1,-1,-1,543936,-1,-1,-1,-1,845306,-1,-1,-1,-1,685683,80404,683841,-1,189095,251207,293748,-1,655998,710607,-1,988192,199264,-1,-1,-1,-1,31639,193004,-1,-1,770907,355124,939660,-1,-1,-1,291994,676036,332234,47251,207326,63649,-1,367624,-1,-1,-1,-1,-1,637256,-1,317749,-1,155986,290494,-1,612267,-1,733437,949166,324771,195286,-1,548843,73112,-1,-1,393919,222925,-1,-1,388132,558701,-1,-1,-1,891031,-1,-1,-1,538816,-1,836770,-1,-1,904526,-1,-1,-1,-1,-1,308269,-1,274657,-1,954771,-1,-1,-1,896464,-1,-1,-1,367664,-1,129214,285089,469394,941438,-1,618393,-1,789056,148276,-1,-1,793897,-1,-1,137367,764269,375901,-1,499705,-1,-1,-1,-1,-1,-1,861539,490489,362481,181580,-1,-1,-1,-1,-1,888639,320864,-1,262072,-1,980509,778119,291333,-1,-1,326849,798946,834616,-1,-1,773972,-1,-1,469499,-1,769570,658258,-1,-1,-1,199622,726460,694990,220194,896918,-1,928471,-1,-1,788430,602388,-1,-1,188181,228363,239980,192846,-1,-1,694975,-1,-1,-1,-1,-1,-1,18115,-1,-1,-1,855895,-1,543029,-1,-1,884816,434614,-1,-1,-1,496688,-1,780377,-1,-1,853031,23228,-1,-1,-1,934912,-1,742976,-1,729103,-1,-1,92427,960197,672201,-1,-1,-1,-1,90696,-1,638397,109991,-1,-1,801617,35394,-1,649260,132256,237343,921127,603704,-1,-1,725820,-1,-1,148204,610890,846425,-1,113735,-1,-1,340985,5702,-1,-1,-1,-1,958635,272895,609822,841637,232450,-1,201994,-1,-1,264996,19464,-1,14451,998566,-1,-1,-1,-1,596861,-1,78935,-1,-1,-1,-1,847132,979380,744148,156748,325432,-1,-1,-1,916685,641977,-1,-1,206792,180770,-1,-1,-1,983755,907733,728089,-1,-1,-1,776904,919419,-1,-1,726445,293362,-1,936610,-1,393057,-1,126243,-1,96973,-1,-1,-1,106475,-1,-1,-1,170692,941634,-1,202570,-1,482666,-1,-1,-1,703414,466849,-1,-1,-1,-1,154347,-1,48337,27666,-1,-1,127430,15325,598658,-1,-1,143113,-1,157271,-1,140711,932896,-1,424635,221174,-1,-1,237486,-1,-1,569147,272219,-1,300010,-1,-1,62515,127678,-1,-1,-1,-1,-1,520265,142234,39958,447788,-1,-1,-1,958240,177973,884038,-1,411950,-1,-1,-1,53297,-1,277008,-1,-1,413757,987269,-1,301720,-1,-1,647203,103964,-1,152301,-1,-1,746669,539816,-1,-1,-1,296745,-1,-1,-1,-1,446549,-1,-1,-1,936018,-1,-1,-1,675700,679248,-1,524488,164137,-1,820212,347858,-1,784337,-1,-1,-1,-1,896518,-1,-1,707582,520654,262161,-1,759066,108749,444437,-1,-1,681455,-1,-1,-1,135524,486298,901205,126948,-1,-1,-1,-1,-1,832892,653269,740768,-1,-1,-1,462039,508059,472305,265714,542287,995628,-1,15964,-1,-1,-1,-1,-1,998315,-1,611258,-1,926893,-1,465180,-1,-1,862138,-1,-1,-1,36115,663016,-1,-1,-1,-1,-1,-1,-1,-1,767968,-1,-1,-1,564299,-1,-1,-1,396267,700891,-1,-1,85894,-1,-1,-1,861659,682923,-1,-1,924708,-1,906381,605795,552953,615641,782383,951267,481635,212878,560940,673075,283728,465204,-1,734878,-1,-1,771986,-1,886473,905383,-1,-1,768503,-1,561156,-1,326413,-1,-1,838449,-1,-1,213504,-1,-1,-1,590289,19374,673098,-1,-1,-1,435370,109255,867284,991491,985821,-1,145634,471547,-1,-1,-1,834659,-1,762093,-1,168691,-1,-1,353847,-1,-1,-1,-1,83191,-1,496741,-1,361241,-1,-1,529575,619877,-1,-1,620729,-1,536952,215500,-1,-1,474811,955666,167904,883447,-1,-1,584750,-1,935192,456584,409503,85310,82345,409092,-1,-1,606491,-1,-1,243939,317462,756361,329114,765777,-1,-1,358544,-1,834920,-1,611351,-1,350815,125400,884053,870205,375830,529941,65518,-1,520977,682201,232934,897456,951190,674035,-1,-1,689410,403411,146414,321499,470816,53791,-1,495528,-1,-1,-1,-1,-1,-1,-1,-1,-1,513083,284067,127524,547992,347725,-1,373936,-1,-1,-1,92988,736806,-1,731129,247111,-1,937646,629107,-1,-1,539673,158600,-1,-1,544399,915141,329648,509824,-1,366561,431134,610418,-1,300005,77147,-1,520056,-1,-1,-1,785511,49293,-1,-1,-1,983321,238075,-1,-1,-1,-1,-1,336865,-1,-1,988182,-1,-1,-1,-1,340021,242782,482136,-1,-1,-1,-1,472158,471146,191936,355722,688310,154656,-1,325970,184382,-1,-1,699232,-1,460607,75051,711928,-1,-1,-1,-1,22514,296919,650865,945924,-1,-1,937520,516720,575570,711940,-1,901230,776438,113,19706,974178,-1,-1,-1,-1,-1,-1,-1,-1,45589,320188,784414,-1,-1,483604,-1,-1,14071,-1,904040,67182,-1,730774,-1,287203,689782,-1,-1,279554,434599,850738,-1,727134,-1,-1,75775,526847,57820,903166,-1,-1,-1,-1,-1,-1,879053,400759,-1,-1,466680,-1,240025,741516,-1,398136,-1,-1,533674,-1,929299,118047,582311,734444,260,987262,66379,735128,-1,-1,572123,-1,-1,122852,-1,389347,-1,794830,-1,-1,69254,271200,853374,94916,166555,-1,842492,700873,464726,31864,779292,-1,-1,593512,-1,646517,564897,-1,656195,-1,217843,878025,138672,-1,882553,110267,731866,-1,-1,793209,139404,331612,107541,-1,765491,290872,722927,-1,-1,897859,-1,-1,235317,665400,-1,621287,864378,737171,455839,529150,-1,86271,-1,-1,935353,-1,706664,-1,714019,373124,735553,-1,-1,702218,746383,-1,-1,278124,568882,-1,-1,454006,481126,59502,654716,-1,-1,-1,286420,122894,65847,-1,831947,-1,580115,661408,-1,-1,-1,792127,-1,-1,486295,-1,155086,800255,672461,-1,-1,692829,-1,-1,807441,274992,47102,-1,783877,783755,-1,226579,-1,-1,-1,348335,216060,-1,8519,715496,855943,440554,649253,926885,992653,50143,971642,-1,-1,-1,236926,3746,-1,-1,407103,760158,454472,943138,-1,929758,734211,-1,921335,-1,449425,-1,379075,904411,260848,-1,-1,403020,964937,-1,550701,967668,-1,417360,-1,-1,197077,-1,-1,-1,-1,-1,-1,-1,-1,131558,-1,757761,-1,49708,120658,-1,-1,-1,95542,424608,385583,728464,-1,-1,130954,33335,581240,-1,-1,745109,549767,455051,-1,846129,-1,574725,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,541921,-1,264502,-1,130107,504393,-1,-1,112308,-1,-1,-1,446010,-1,401392,622797,240397,-1,344038,-1,-1,450552,-1,-1,664540,660020,-1,-1,-1,-1,153964,-1,-1,60639,-1,-1,-1,993092,-1,-1,306214,708441,668400,927095,127540,-1,475272,556789,53187,723787,414717,446805,598590,-1,-1,-1,284649,616282,591154,-1,970075,-1,998005,-1,-1,-1,-1,975957,971955,904450,651107,123272,-1,-1,-1,-1,-1,-1,-1,550661,-1,788139,798174,-1,-1,-1,-1,-1,471127,-1,-1,-1,88496,789973,649002,778671,-1,806557,-1,-1,-1,-1,-1,-1,-1,637108,-1,362346,487345,-1,846172,-1,465234,-1,-1,849766,117156,94264,553524,-1,-1,-1,457271,-1,-1,127801,182367,51456,902574,-1,299170,-1,-1,991949,-1,-1,846456,-1,-1,679810,268005,765633,110247,798968,917904,323822,227437,276113,695086,-1,129922,-1,-1,-1,-1,-1,293093,-1,802181,324751,-1,189204,713706,671989,242995,-1,361407,523189,111292,-1,616123,-1,-1,-1,833309,-1,-1,586279,-1,45141,634642,150320,-1,-1,1719,-1,-1,544896,756397,-1,-1,-1,787315,-1,857083,-1,-1,341355,68531,-1,-1,-1,-1,593380,558274,85369,502143,382777,186360,592677,921246,-1,27794,60717,-1,774416,855898,-1,116273,528334,-1,323800,117265,-1,-1,692337,919607,829295,244838,739147,-1,536304,103646,-1,-1,-1,536233,691400,-1,894812,890879,-1,889839,-1,140342,343181,214027,-1,-1,-1,-1,437537,6841,158767,360177,733358,-1,-1,-1,-1,-1,658342,645089,796815,-1,457836,-1,242013,-1,-1,-1,-1,-1,-1,281584,584666,-1,-1,-1,-1,-1,-1,114864,-1,127625,6214,-1,447086,-1,-1,-1,141456,253818,245827,-1,-1,-1,-1,-1,820814,131850,-1,359363,800901,127990,302655,-1,830017,-1,931041,335503,-1,877932,91930,-1,599347,-1,-1,-1,-1,129876,-1,187500,-1,672992,69297,-1,718861,901723,862979,-1,-1,-1,33975,-1,167595,-1,346380,-1,883117,506620,585776,-1,368421,-1,-1,460240,617298,-1,491729,-1,-1,557334,-1,767744,-1,961740,755471,-1,-1,217148,603865,-1,-1,-1,709642,-1,-1,-1,-1,384909,707717,664381,-1,-1,-1,-1,-1,665546,-1,-1,-1,-1,-1,-1,-1,-1,785123,-1,-1,152456,77202,-1,-1,-1,-1,-1,-1,-1,457065,-1,863578,-1,-1,519815,180600,-1,-1,-1,-1,95060,-1,-1,-1,-1,-1,-1,-1,129786,-1,-1,320650,-1,826725,-1,-1,-1,140948,349666,115424,-1,519086,-1,410056,229198,529821,-1,720327,338345,671593,724933,797545,148413,136574,-1,477223,-1,-1,32114,-1,-1,371618,877120,-1,-1,-1,-1,-1,666341,-1,-1,736014,-1,71825,-1,-1,11234,-1,19138,720715,-1,-1,995005,-1,895386,-1,-1,194777,664116,-1,-1,-1,-1,-1,818152,-1,615364,513980,-1,-1,507801,411372,542465,898123,-1,-1,824414,331345,152328,185929,758310,-1,916302,12636,-1,236032,-1,564535,-1,-1,-1,-1,3794,-1,-1,374901,-1,967009,-1,863167,61882,644995,-1,-1,-1,-1,-1,-1,17971,656287,-1,-1,-1,-1,-1,150958,-1,302910,539028,-1,-1,200692,8569,420095,-1,-1,-1,-1,104758,653418,-1,158960,413992,-1,538946,-1,973304,-1,-1,529789,-1,22917,-1,553963,-1,-1,326651,645797,-1,861031,-1,-1,701010,789505,-1,-1,-1,912649,-1,682427,995925,-1,-1,668432,973658,634761,-1,-1,-1,103650,354356,-1,351423,-1,252998,-1,-1,-1,-1,593804,-1,-1,936705,-1,206525,-1,181295,522201,-1,175615,-1,-1,957412,-1,-1,-1,-1,-1,-1,-1,489462,-1,897860,533433,-1,-1,-1,-1,-1,-1,379560,452701,294024,-1,755261,-1,-1,-1,-1,-1,9270,-1,754039,-1,489589,-1,882694,357250,-1,221531,828444,261984,-1,233590,238711,339646,295842,-1,-1,-1,-1,-1,915895,633124,-1,-1,-1,-1,186689,-1,520768,505991,-1,-1,206248,870392,308023,870853,-1,28963,-1,-1,-1,-1,-1,983152,286754,-1,-1,514238,-1,941973,17497,-1,906419,698511,-1,-1,924814,640754,-1,-1,999006,-1,545203,350524,924426,-1,805502,296354,265742,-1,128725,-1,141252,-1,967718,-1,932508,625693,212128,-1,-1,-1,-1,-1,203139,-1,-1,-1,445803,-1,953712,-1,-1,-1,766257,319360,358774,-1,-1,175062,-1,197533,199037,438335,746559,-1,798094,857463,242320,631524,133813,747851,254356,-1,-1,-1,96280,-1,-1,-1,-1,162900,595780,-1,-1,-1,-1,223072,-1,594436,-1,678021,-1,-1,-1,-1,210781,193543,-1,925798,844082,64613,-1,508281,-1,549998,-1,-1,-1,-1,174854,-1,-1,-1,771617,-1,-1,127313,-1,221570,626405,-1,-1,343621,-1,-1,411171,515826,5148,417944,-1,933080,-1,-1,-1,-1,-1,-1,-1,-1,962349,939622,-1,11872,302772,781023,557800,337491,589917,758191,588840,27266,-1,377775,-1,-1,594438,-1,257510,557010,-1,429467,-1,283199,613747,135400,-1,643184,-1,242843,977803,-1,688768,829516,859317,-1,-1,-1,-1,144752,105741,645191,-1,-1,719427,84768,236566,-1,-1,840987,-1,643986,490577,765797,463806,387729,22909,-1,631082,-1,-1,916044,-1,-1,-1,474521,-1,-1,183481,913455,-1,515695,-1,-1,-1,-1,-1,-1,-1,89752,-1,273820,605368,838428,121759,123792,99647,367595,223176,480258,41198,367727,350774,-1,939816,-1,-1,590345,-1,-1,288974,-1,-1,199419,-1,-1,994625,716060,250988,830233,-1,477728,953358,579963,-1,-1,221820,249736,-1,67456,564117,-1,-1,-1,535683,-1,-1,-1,-1,756438,-1,151365,-1,-1,-1,-1,-1,458930,-1,870551,-1,-1,-1,-1,-1,365711,549060,-1,904888,936983,-1,321084,207328,198729,10054,732349,728061,-1,372519,-1,-1,-1,-1,882640,21566,122446,-1,712011,426585,180881,445935,74152,-1,127403,561335,615493,9292,-1,-1,457332,-1,-1,-1,192442,947674,925907,32410,3854,-1,544899,-1,-1,-1,72091,594641,-1,532093,777487,-1,-1,261249,-1,95070,89885,461625,-1,-1,-1,-1,-1,-1,165112,485652,-1,867485,-1,-1,-1,795796,467000,692716,-1,-1,449800,-1,466705,859967,121517,332111,-1,787240,218820,589055,50287,-1,-1,-1,-1,-1,62998,623567,271659,338782,-1,823930,-1,378460,7594,-1,-1,644354,-1,-1,578397,453369,-1,93918,104969,117918,911614,-1,942650,-1,663509,-1,742358,-1,-1,-1,328048,-1,-1,663121,-1,-1,54029,-1,867147,-1,195439,958737,-1,458898,903949,-1,-1,62953,804906,-1,758495,295340,882415,331516,-1,535925,29269,442626,387810,676581,-1,-1,332451,20478,-1,774130,750459,-1,-1,-1,-1,157726,480762,662024,581640,204326,-1,-1,39367,-1,-1,-1,758813,-1,630096,416536,-1,989894,430829,-1,667476,575447,619505,995516,980671,-1,238431,-1,-1,126580,-1,329363,-1,-1,-1,444981,-1,-1,697075,497052,25626,-1,-1,-1,-1,443095,744651,552654,-1,-1,616730,-1,-1,300358,365176,-1,-1,198835,140454,-1,-1,-1,401891,974925,784389,58045,881064,-1,468708,583004,-1,-1,-1,733327,-1,-1,-1,-1,-1,129545,-1,112980,-1,-1,912162,-1,813529,-1,887751,57366,114617,-1,933543,82250,982206,-1,8953,-1,285675,-1,415099,726996,166680,198798,969122,901436,734277,701839,783661,-1,-1,-1,-1,979971,262390,29478,-1,783614,-1,-1,728906,-1,747758,-1,-1,15017,-1,986422,-1,475963,822544,35190,715520,610879,951406,360093,-1,-1,231728,632754,-1,-1,912495,-1,-1,-1,-1,829194,774513,272966,-1,985137,-1,-1,607253,-1,612103,-1,271320,-1,-1,806574,-1,215726,922653,-1,-1,163118,-1,406614,349694,578770,484545,-1,-1,-1,655297,-1,-1,512282,745627,-1,-1,-1,842886,-1,-1,173432,-1,411469,-1,-1,393506,-1,-1,536670,430481,-1,-1,147060,-1,454508,-1,855523,469399,565028,691218,625666,154844,-1,-1,-1,711506,-1,-1,-1,-1,131593,201527,-1,-1,595460,250081,617242,624033,450109,-1,-1,817434,910558,-1,434197,-1,-1,-1,-1,454617,-1,516731,109048,-1,95437,800655,291450,612166,238374,953534,464420,98080,-1,-1,734354,-1,331699,204187,-1,829742,87327,760970,608006,-1,44303,123077,428395,473864,-1,-1,-1,-1,-1,264158,702519,-1,-1,772651,630089,660626,520378,-1,169852,88149,-1,-1,-1,-1,463452,609773,-1,727235,631360,-1,-1,-1,-1,723901,-1,847963,-1,-1,579228,852273,265153,140439,339832,-1,905101,-1,821936,132647,779552,547943,-1,-1,-1,435556,227811,-1,-1,-1,664787,-1,158053,-1,-1,-1,-1,112830,998240,264232,-1,-1,890082,409968,-1,474161,-1,760600,-1,813382,469138,-1,498078,271026,-1,-1,-1,842950,-1,884401,-1,650689,526643,886775,-1,-1,944927,-1,830624,-1,-1,-1,26624,-1,352163,-1,902745,-1,705544,-1,821677,-1,815297,27904,-1,-1,-1,772958,-1,97498,373999,-1,-1,512367,170819,568635,249550,-1,-1,934744,-1,-1,-1,-1,403098,-1,-1,688257,120247,-1,-1,-1,-1,-1,390481,668577,-1,674984,160485,474332,110672,-1,-1,-1,789114,233755,-1,732644,545239,162922,-1,-1,455688,849379,755371,513184,434688,-1,821072,881774,773882,275982,901614,-1,-1,679879,907585,-1,310654,-1,-1,-1,-1,-1,-1,-1,176662,585817,518719,-1,-1,57995,971168,803188,190668,-1,-1,885562,277229,785833,-1,-1,-1,553761,-1,-1,-1,-1,-1,554356,-1,279941,909191,-1,-1,293266,-1,841431,420840,-1,154384,-1,935514,-1,926911,-1,-1,17138,322908,241243,329973,-1,-1,405516,378881,-1,-1,-1,891235,576601,640735,800290,-1,-1,811583,-1,-1,-1,268212,743800,-1,610579,929897,-1,206675,-1,318220,-1,-1,991175,-1,56434,-1,644395,213957,991875,-1,-1,-1,487030,-1,649807,231984,-1,-1,-1,830634,535083,261495,568962,-1,-1,684529,472067,-1,-1,239547,946653,71538,366503,-1,-1,129454,936590,-1,315321,-1,-1,-1,375651,-1,801997,460695,-1,-1,338516,-1,-1,262454,646302,143562,825521,-1,675923,-1,-1,233714,-1,-1,297061,992500,609974,388748,-1,-1,-1,-1,585739,952445,202890,-1,29514,-1,-1,768499,165933,799266,-1,-1,88810,727825,-1,-1,477864,986734,6241,887529,895837,636134,244728,-1,-1,-1,896808,303810,762316,-1,17559,-1,-1,-1,254809,-1,521177,-1,-1,199000,-1,825763,719486,205897,-1,475708,-1,-1,-1,188337,824380,-1,281320,-1,537442,-1,168215,254383,-1,576173,551114,389767,740607,303533,-1,-1,394307,-1,-1,747179,817155,37008,295159,-1,-1,843227,234003,-1,69712,743426,858156,-1,900903,-1,-1,856839,-1,261322,-1,-1,548533,-1,-1,913888,-1,-1,640203,-1,-1,415433,-1,216679,156533,581267,-1,595546,640386,146384,142754,-1,-1,880981,-1,-1,192550,-1,-1,-1,845177,204405,-1,147895,-1,-1,587728,167851,301364,954589,363640,950417,-1,-1,-1,-1,19678,-1,169162,-1,-1,627869,-1,791123,-1,659934,347148,120216,-1,892165,676582,-1,867641,145067,-1,946410,-1,662705,601479,602199,-1,-1,-1,377209,575141,941585,888943,165146,-1,793677,19600,755917,553667,125275,-1,-1,24108,905874,-1,-1,-1,966564,75091,-1,786216,53637,591670,-1,935466,-1,372966,232317,274091,-1,707938,272707,-1,-1,-1,533241,-1,340846,614981,406421,-1,-1,-1,96267,842402,-1,548654,-1,-1,135083,-1,327562,481480,38522,-1,-1,634905,-1,445144,491784,211749,-1,143700,-1,-1,270829,-1,326230,490894,-1,-1,699312,-1,40433,-1,595198,-1,646161,-1,938579,-1,-1,374010,768183,-1,70979,-1,184890,-1,-1,-1,-1,-1,-1,-1,662784,191445,-1,754961,-1,-1,427653,312032,468842,174986,811072,-1,166600,-1,-1,311982,560273,623133,-1,607884,-1,-1,265804,-1,-1,331628,220397,-1,956621,756402,-1,-1,-1,-1,338492,-1,-1,644219,756468,-1,79560,-1,631986,-1,75119,598177,378636,-1,66663,-1,-1,31423,-1,892501,258597,863626,277486,-1,787084,665041,28367,-1,281366,-1,157323,323974,-1,-1,-1,186701,160222,107759,-1,-1,609942,-1,-1,-1,349721,484782,-1,-1,-1,967081,221471,143695,758651,-1,464282,-1,-1,710764,-1,658343,18047,-1,962961,907741,-1,-1,-1,276119,616137,-1,-1,-1,-1,59491,-1,515982,437451,-1,409029,132988,727642,-1,-1,283219,670416,-1,-1,45306,222093,468461,-1,940717,-1,-1,857679,-1,476054,-1,-1,361704,-1,-1,108708,108290,-1,-1,95793,-1,622369,102481,840801,65559,512556,886385,-1,653775,-1,-1,58344,314423,-1,411055,-1,978867,879423,543858,837415,465609,-1,-1,-1,842545,163722,-1,732518,711031,-1,-1,635477,537837,407261,727886,473132,-1,907486,-1,624126,109859,846003,-1,860644,-1,100750,248898,681480,51877,-1,-1,-1,-1,636068,751091,279027,20369,-1,146558,-1,339520,-1,-1,92472,-1,-1,-1,561377,-1,-1,-1,179472,-1,-1,-1,128169,748181,700557,38471,816484,437187,-1,-1,580452,-1,-1,-1,-1,256390,-1,-1,931137,-1,-1,736011,-1,-1,-1,360864,-1,740385,413336,-1,-1,880841,-1,208639,-1,120841,732475,-1,904437,313060,-1,-1,542386,-1,158456,-1,220595,35341,357480,831672,-1,942817,131926,-1,-1,-1,-1,664483,-1,7013,133482,-1,493628,-1,-1,-1,395534,-1,142081,298234,237128,200838,-1,839499,-1,-1,55158,-1,-1,-1,-1,-1,975417,533255,423164,-1,856187,-1,-1,-1,629358,-1,-1,571809,220329,-1,350440,-1,620151,-1,-1,-1,23268,321733,-1,-1,493920,-1,427961,-1,-1,892038,-1,871395,16590,-1,-1,289111,565445,-1,-1,-1,-1,869326,-1,702891,633219,-1,416964,330805,-1,-1,510227,-1,487126,904636,735730,-1,-1,-1,-1,757404,-1,996961,976595,279771,170810,-1,-1,374721,542350,-1,-1,726294,850145,-1,-1,-1,-1,-1,771892,-1,-1,-1,58757,908299,-1,-1,-1,-1,-1,620600,-1,-1,-1,-1,131508,762744,172312,430694,729156,-1,125692,-1,-1,887867,901466,46574,3064,194745,521127,60636,-1,933479,-1,-1,514209,517193,846752,422161,-1,-1,-1,-1,596363,208072,-1,-1,-1,361455,249774,-1,465418,-1,-1,-1,-1,-1,664623,-1,-1,-1,852674,463510,757384,134657,-1,710270,169835,-1,-1,508768,-1,-1,545113,616944,45045,332497,292434,-1,963361,-1,892481,246711,-1,540461,-1,-1,673232,486090,336784,-1,-1,841104,-1,-1,36195,514147,997487,-1,-1,361863,456970,-1,105753,568549,-1,602333,-1,63002,71886,-1,45658,847058,221193,-1,-1,-1,-1,265423,-1,-1,-1,345392,261623,-1,881466,34873,-1,672760,317710,-1,70836,-1,-1,852960,-1,-1,-1,369873,483369,-1,-1,770100,-1,-1,30668,984508,-1,-1,-1,-1,190405,-1,-1,-1,-1,-1,-1,-1,414634,-1,-1,-1,-1,817824,193639,839774,-1,-1,-1,-1,-1,-1,-1,-1,-1,191897,50232,709914,-1,198818,195820,980550,936035,-1,670960,124626,-1,-1,-1,-1,-1,456712,143107,-1,443139,952603,38787,-1,-1,-1,356348,955912,392448,794764,-1,153862,83783,569728,310027,-1,116043,377096,838702,291839,-1,-1,292621,204111,-1,-1,-1,209457,-1,-1,661886,-1,-1,-1,173296,190751,81480,754358,646633,411924,-1,-1,194897,400747,564083,779800,12975,827084,422835,172533,794783,-1,-1,-1,-1,915646,-1,818897,618295,-1,-1,420669,-1,-1,535920,-1,-1,-1,-1,-1,-1,-1,-1,399641,-1,-1,-1,535880,-1,843276,324026,-1,-1,270253,-1,-1,869295,614860,867740,-1,886345,85029,448675,-1,924286,321344,-1,723818,-1,-1,159880,592855,-1,113751,366904,-1,835112,-1,482080,312345,859291,-1,140893,157387,979835,115677,-1,-1,-1,162925,53490,73028,905909,-1,-1,-1,336726,103833,427811,-1,-1,550150,-1,-1,334555,411908,-1,520893,-1,48487,-1,989367,-1,-1,-1,-1,710071,-1,-1,583476,-1,-1,-1,283170,-1,-1,-1,-1,-1,189582,647889,114405,495945,286590,325758,-1,-1,698488,-1,-1,-1,-1,-1,835827,-1,235596,92669,-1,-1,-1,-1,-1,879811,-1,-1,-1,-1,378106,-1,43773,674575,150246,-1,347814,-1,531261,-1,821165,290645,196787,-1,-1,-1,757692,561204,-1,303636,-1,-1,263379,-1,444004,525261,-1,889865,944205,511983,719053,-1,348605,120587,323309,-1,-1,-1,32955,-1,-1,778005,-1,-1,288388,264558,938005,-1,119760,-1,212797,-1,-1,-1,810748,533378,-1,482411,331991,531722,-1,-1,770997,742224,-1,988402,-1,218249,489111,-1,342678,646855,746926,940448,-1,959000,-1,207557,-1,855527,-1,-1,858068,-1,-1,-1,-1,-1,-1,878896,238609,-1,-1,-1,11235,248386,327421,158358,-1,-1,124720,-1,-1,-1,-1,788112,984023,240551,353669,281248,858264,-1,-1,454421,-1,224758,37306,632729,-1,-1,225360,-1,-1,564564,368018,-1,-1,760813,-1,-1,649381,-1,-1,-1,-1,-1,-1,925812,269368,578354,-1,897423,767606,-1,88801,-1,-1,-1,850412,94562,-1,81051,707239,-1,512045,-1,521723,219827,606166,35602,807542,-1,-1,720806,-1,-1,-1,929886,-1,-1,-1,-1,-1,591388,331459,-1,347518,-1,-1,-1,515560,-1,424971,552097,911297,723395,-1,137988,234111,-1,-1,866120,-1,-1,139189,-1,518218,-1,-1,-1,-1,386053,-1,-1,-1,386573,-1,-1,-1,-1,652490,-1,-1,-1,-1,-1,884590,-1,-1,753921,-1,396164,451668,265436,-1,162778,-1,-1,-1,-1,-1,2025,228824,-1,311914,-1,-1,664917,834523,-1,-1,-1,452161,-1,951756,642690,-1,119614,-1,929850,-1,999269,-1,-1,-1,-1,-1,-1,705077,-1,-1,-1,-1,534598,187253,-1,593004,-1,331448,-1,-1,-1,-1,214983,540099,-1,822035,-1,-1,-1,-1,-1,570170,-1,750207,260573,-1,32999,-1,153680,935317,-1,283107,490173,65186,703492,-1,49854,727752,429002,-1,-1,-1,-1,872431,82735,-1,-1,-1,302786,-1,482253,-1,-1,-1,117708,203504,-1,914421,892453,-1,461638,342791,-1,687219,438281,509840,318717,-1,-1,271687,455450,-1,-1,-1,-1,420094,-1,504217,-1,-1,353261,595281,161478,-1,8767,664517,770017,578190,436328,239778,392337,752749,131641,-1,-1,-1,270161,622541,-1,-1,372262,213146,-1,-1,-1,58489,-1,-1,653239,-1,-1,-1,-1,-1,849626,-1,274566,290577,-1,-1,-1,904804,191278,309169,280819,-1,43328,-1,-1,-1,-1,-1,805678,874150,-1,-1,659162,108765,-1,539,631354,487802,-1,674468,883317,-1,-1,651559,961311,632501,-1,-1,-1,-1,-1,-1,-1,292304,953096,205246,-1,-1,279344,298412,448857,300213,290092,993803,-1,-1,294644,714675,-1,-1,108816,-1,874589,825101,464724,-1,-1,744486,-1,292622,85705,-1,799844,-1,668621,874462,423246,-1,-1,-1,-1,-1,775304,-1,624781,916101,334842,256771,-1,825618,-1,-1,-1,506791,476189,-1,-1,23115,-1,724735,681978,927273,-1,61454,-1,-1,-1,-1,-1,740809,272232,-1,-1,355055,-1,44246,669757,-1,-1,-1,-1,-1,184014,47284,910111,-1,-1,175817,-1,-1,-1,-1,694878,-1,-1,244864,265426,943613,225303,942031,970886,495220,-1,685798,-1,-1,884836,412694,178048,-1,-1,748802,152734,-1,-1,345820,-1,801577,-1,-1,323497,-1,712050,-1,343406,-1,-1,-1,961431,-1,-1,-1,436876,641867,-1,696177,-1,-1,-1,649589,550938,781468,-1,270626,597504,605584,-1,-1,-1,-1,81193,980488,373064,193219,712524,-1,-1,-1,-1,-1,684631,646443,376319,243472,208492,661566,16637,-1,612404,533618,582949,-1,1506,-1,547878,-1,659720,-1,361161,-1,-1,88424,481661,333142,800973,185540,683887,565617,-1,-1,-1,-1,65366,722235,-1,-1,96465,-1,395432,-1,593583,-1,-1,578695,-1,-1,194004,889711,102589,-1,576065,107491,722406,480113,315514,-1,-1,-1,367770,-1,357572,-1,49017,977330,-1,257237,-1,-1,-1,-1,290827,642192,56947,4281,229476,24486,604065,566236,102580,45905,739169,876769,430952,-1,-1,-1,791015,148844,624964,357386,583139,265700,806044,-1,773311,-1,-1,114456,-1,681415,642688,184745,60249,-1,-1,101498,-1,-1,285933,620942,323320,-1,-1,-1,250891,-1,383727,-1,-1,913354,-1,-1,352078,549099,33250,875748,608229,-1,-1,579201,-1,384734,-1,-1,-1,-1,286509,-1,506188,934132,652791,588702,117714,592330,-1,849504,982234,-1,-1,886887,594231,3041,232080,579537,-1,-1,-1,-1,-1,-1,575460,529958,-1,576246,930841,-1,-1,-1,-1,893732,-1,682190,-1,549835,393397,988064,-1,-1,203992,344141,-1,411289,-1,-1,70694,598930,-1,107641,313225,-1,62273,-1,120460,515642,-1,900965,-1,-1,241064,-1,-1,259918,458856,-1,-1,359781,-1,-1,929177,181425,-1,-1,553687,826588,913219,-1,942050,537625,-1,-1,364595,-1,324251,960884,-1,851156,618839,-1,-1,706687,874774,196894,-1,-1,23560,530030,510735,61173,428854,-1,148362,-1,329415,491082,-1,-1,817045,-1,-1,-1,-1,-1,26304,-1,693535,313227,-1,958489,-1,-1,367865,156575,539354,-1,-1,672160,934742,-1,79502,865280,-1,524764,-1,406745,-1,-1,-1,415796,-1,-1,911509,35511,401113,388151,737202,-1,-1,-1,920922,-1,-1,-1,-1,44142,843875,-1,-1,905609,-1,-1,325842,-1,-1,-1,297405,544363,118386,-1,436665,150569,483597,371381,848875,-1,-1,-1,-1,-1,-1,-1,115862,180480,-1,93440,-1,-1,-1,169965,439395,-1,-1,-1,480488,-1,134535,-1,232378,712402,-1,-1,-1,340702,-1,284700,-1,202105,-1,62317,-1,831945,-1,951131,341296,-1,376663,-1,298411,637058,-1,-1,510030,-1,464490,263043,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,852284,145872,-1,462069,286800,-1,473128,644253,-1,553096,345219,739352,-1,-1,-1,88308,-1,555744,775644,495191,436555,250028,-1,-1,-1,300069,-1,-1,218688,-1,-1,759978,-1,985032,885443,34748,-1,340251,-1,984975,31433,-1,996003,657103,-1,534858,-1,924412,-1,601209,253765,878253,-1,-1,172656,407279,-1,-1,-1,-1,-1,-1,68256,121222,95191,831841,549876,-1,692758,-1,444115,-1,-1,-1,-1,-1,293394,445339,674745,348457,169330,-1,20522,-1,886028,-1,808676,-1,600531,5387,-1,-1,706375,-1,-1,579047,-1,-1,-1,390329,-1,-1,-1,-1,15218,-1,-1,-1,870139,-1,-1,479825,86625,744101,-1,-1,117731,466292,301188,733747,879054,-1,756004,520830,-1,-1,-1,-1,-1,-1,-1,60550,-1,248801,128299,373111,-1,-1,-1,184454,-1,-1,-1,219815,944322,-1,-1,553974,574755,621821,196055,-1,87658,106362,455198,-1,-1,570724,500334,434761,676545,-1,-1,-1,-1,334942,740715,38438,-1,618869,286336,-1,197297,-1,714594,963841,784859,-1,-1,-1,-1,-1,211750,872621,168025,-1,711379,-1,880640,974281,-1,681315,-1,-1,-1,882947,-1,355512,-1,614064,143398,430195,129180,-1,-1,34685,642835,912799,-1,116844,100847,-1,-1,127124,924873,836326,-1,-1,-1,-1,892644,-1,881340,108875,-1,-1,-1,144911,-1,230764,895095,784320,89423,149786,787227,215717,84857,-1,142344,-1,605348,-1,520445,-1,-1,-1,-1,-1,-1,122887,-1,-1,482545,-1,937745,-1,-1,550999,-1,-1,302215,995672,403891,-1,882561,-1,687785,-1,63965,-1,-1,-1,134863,508308,305015,701320,-1,872873,-1,319790,-1,-1,456275,-1,-1,142043,-1,687351,990322,-1,-1,863397,188555,-1,-1,-1,776628,-1,198046,171315,773388,453608,-1,-1,-1,-1,-1,-1,703887,-1,-1,-1,828667,137298,181888,515683,927690,-1,-1,-1,259893,-1,-1,-1,-1,735257,97551,-1,-1,-1,-1,752536,-1,575274,824791,713773,312967,465402,333431,-1,-1,315196,-1,532620,786322,723690,-1,-1,-1,836810,396758,289813,-1,637331,-1,-1,-1,228252,451014,69076,437763,-1,-1,-1,384349,465130,-1,-1,256558,-1,35796,114095,466959,972231,994102,-1,731289,639224,-1,-1,-1,-1,35068,-1,54028,358334,256512,51309,197265,810905,-1,904870,-1,-1,-1,339778,693735,-1,934832,-1,560220,366610,-1,888181,-1,-1,831692,410392,-1,895984,-1,-1,132661,-1,883524,-1,38796,245920,-1,-1,21482,-1,708076,-1,773246,-1,213203,328287,-1,-1,35033,-1,291932,-1,162639,-1,-1,509625,-1,-1,594272,-1,756289,466976,-1,806296,-1,-1,602515,666884,140411,525470,734352,-1,-1,248164,-1,-1,927193,-1,546803,845415,275155,-1,-1,117857,-1,471341,-1,-1,443426,348569,52458,-1,652059,-1,-1,627008,25431,-1,886756,-1,881247,-1,-1,115195,-1,-1,-1,434577,-1,585386,-1,-1,-1,-1,321081,-1,530664,-1,-1,316625,-1,225238,530663,-1,628841,-1,-1,-1,-1,-1,-1,946253,252400,-1,252838,-1,723465,307166,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,478448,-1,8580,806624,910413,271181,813514,919859,813809,-1,-1,-1,-1,621236,-1,739946,-1,843422,947516,-1,-1,219915,-1,281214,961375,-1,823718,999442,842748,778955,295737,148640,123040,512011,-1,297985,213923,-1,-1,82619,-1,934420,-1,410810,-1,-1,691664,-1,155216,220608,-1,995498,-1,-1,89845,66498,-1,-1,-1,647810,-1,756492,-1,-1,891922,257529,188884,-1,-1,-1,613742,-1,54702,-1,-1,-1,735454,-1,217180,657581,-1,-1,899035,-1,-1,-1,-1,252861,-1,-1,-1,-1,-1,-1,418206,1254,403175,-1,-1,251575,480215,514966,493671,-1,-1,90638,-1,-1,-1,777032,-1,868642,-1,237000,-1,-1,988601,-1,461483,-1,379619,-1,171095,435763,870057,-1,441422,-1,-1,-1,361401,730212,-1,-1,-1,-1,741287,-1,74721,-1,150412,-1,299333,-1,194837,80564,-1,143582,505422,229085,-1,-1,305431,-1,-1,572930,613175,481934,749342,651077,613640,-1,-1,974352,-1,378784,261066,-1,-1,220975,-1,-1,230522,-1,692678,-1,808465,893142,138870,917145,-1,-1,412761,-1,-1,602441,-1,-1,-1,837091,48683,23375,-1,885616,-1,433416,65825,613210,-1,900613,811958,201865,-1,-1,471328,-1,432634,-1,-1,-1,-1,-1,-1,414739,-1,386799,-1,-1,29790,745714,-1,-1,457470,-1,-1,-1,79607,225962,644070,90594,-1,-1,-1,-1,-1,763688,-1,-1,3392,583347,896375,653140,-1,168892,865918,390931,200958,-1,-1,-1,-1,-1,-1,-1,47519,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,497448,-1,-1,227765,-1,518337,584143,-1,-1,-1,619458,-1,843000,-1,247491,-1,-1,-1,924334,307129,271133,909612,-1,720255,-1,-1,74663,-1,-1,501396,837560,-1,897259,-1,-1,-1,43997,-1,353785,-1,590875,-1,-1,-1,827185,-1,-1,356107,-1,-1,312676,-1,691099,832754,317818,-1,-1,506837,-1,-1,-1,-1,176714,-1,-1,800612,695596,-1,405560,-1,129071,88917,-1,165766,-1,-1,495298,229249,837610,466231,-1,-1,759774,223424,166881,-1,258097,863184,442967,-1,-1,347420,172252,-1,-1,665062,-1,458639,651034,-1,654938,-1,592448,-1,479622,100336,932079,-1,11621,834151,-1,-1,72346,-1,718893,-1,534971,-1,-1,54441,63207,623083,-1,972886,-1,330451,549137,243078,233544,-1,589268,970773,106120,-1,-1,-1,-1,51033,-1,270050,-1,912048,677902,-1,-1,782790,-1,-1,191041,239046,-1,-1,-1,-1,-1,-1,344998,324377,-1,-1,-1,18153,707800,479971,276195,47640,-1,-1,-1,-1,-1,-1,-1,-1,-1,640572,-1,548112,-1,330249,437992,586670,-1,-1,313809,-1,931417,-1,-1,337140,-1,271955,-1,-1,50290,125187,661610,510073,628100,-1,655914,744707,430534,332928,-1,531724,953663,942715,956547,-1,12617,-1,-1,331257,761989,118864,-1,375642,-1,-1,440301,222097,14915,-1,221914,-1,642748,-1,888422,-1,621351,-1,431984,969500,-1,86348,414103,751246,505852,677749,644125,-1,417228,-1,-1,-1,-1,-1,-1,476108,311249,-1,-1,686865,-1,113280,873980,287526,-1,19850,-1,154043,105411,-1,-1,-1,-1,-1,989934,603906,158086,743602,-1,-1,-1,-1,871993,702581,559908,196643,-1,964804,720670,165999,941029,-1,-1,212535,-1,-1,750678,-1,784274,893872,899090,329885,97375,-1,334535,967271,-1,101066,-1,-1,998714,917356,586938,-1,613192,-1,807847,-1,567828,803352,24327,946352,302083,872115,-1,-1,-1,127991,728717,688153,-1,442465,609407,104792,815107,494241,-1,-1,-1,-1,-1,75898,-1,599694,-1,718517,736790,625728,-1,414039,-1,605385,556327,708103,524142,143041,-1,353273,-1,-1,567127,222243,168110,-1,-1,-1,-1,-1,-1,-1,87017,-1,-1,-1,274481,-1,-1,79168,-1,887502,-1,-1,-1,-1,-1,215375,-1,615390,-1,-1,-1,325001,917989,281878,545384,641208,-1,-1,182066,471138,752806,318572,915429,223220,316116,324347,-1,-1,-1,-1,-1,154460,602911,35084,406832,329737,194404,291322,89718,464986,735967,-1,-1,-1,987916,599239,494045,-1,-1,396344,291686,-1,-1,691012,-1,633204,-1,732758,10661,-1,341420,555434,-1,534336,-1,91392,649892,839386,-1,-1,327778,-1,893832,901339,-1,140882,744599,525913,-1,607935,-1,-1,-1,-1,847144,-1,485691,238707,774955,664783,365777,-1,-1,-1,726320,-1,476283,234342,-1,-1,844615,-1,-1,956514,197275,-1,660332,-1,392449,-1,-1,-1,-1,-1,-1,351570,190456,700220,588126,-1,885037,-1,700168,712810,-1,575832,-1,-1,-1,-1,499024,989940,135187,-1,536726,-1,-1,-1,-1,-1,859010,-1,760209,321319,89181,-1,877374,-1,-1,-1,-1,631975,-1,348524,-1,413545,-1,146149,397754,333421,-1,-1,537712,175681,710949,778134,-1,12552,-1,876918,50292,-1,-1,-1,-1,191797,-1,623707,-1,744202,540236,-1,-1,82181,-1,-1,-1,-1,973325,503029,647259,-1,24286,148305,-1,243606,-1,907535,-1,649472,-1,236142,-1,584464,-1,467681,952038,-1,190433,255962,-1,-1,-1,283190,221580,852392,666516,-1,-1,564663,572725,-1,860513,-1,-1,-1,-1,-1,500010,-1,-1,-1,-1,886850,-1,-1,40520,-1,954254,-1,-1,622669,531396,-1,-1,-1,-1,956799,15505,340850,-1,174099,242845,424542,606589,-1,453563,666857,273929,348745,58957,-1,543372,-1,680313,645542,229519,-1,177506,-1,-1,-1,-1,461045,559875,167893,477458,271269,-1,-1,362662,-1,-1,-1,9748,-1,-1,-1,507131,597743,666642,260241,-1,-1,700292,-1,-1,-1,-1,371747,-1,541476,-1,-1,-1,-1,13643,556262,952973,-1,-1,765567,883854,-1,-1,-1,290274,915495,-1,-1,-1,324695,748246,-1,-1,391905,-1,-1,-1,-1,-1,-1,-1,-1,-1,938233,680419,609872,739037,230844,83082,-1,-1,545172,167768,704491,-1,-1,-1,336190,282671,-1,598425,951128,491766,251318,-1,153453,297671,-1,963206,-1,-1,-1,-1,-1,551406,58301,-1,377338,434899,-1,744909,634658,-1,5184,224273,940456,293295,10894,-1,-1,111655,-1,-1,-1,681639,554878,493074,899059,-1,-1,242294,375388,-1,107568,946533,-1,-1,900016,953905,-1,-1,750383,-1,-1,-1,-1,518126,420167,-1,-1,-1,951500,-1,-1,893963,-1,-1,594604,-1,-1,282551,-1,179968,932623,51046,309602,-1,252264,-1,959409,-1,-1,224583,338747,-1,-1,520269,-1,921789,402662,-1,-1,-1,257134,-1,795125,-1,446842,-1,-1,432832,-1,-1,-1,-1,-1,702398,-1,-1,-1,587159,-1,713329,70748,-1,-1,-1,663854,654967,102017,-1,-1,-1,842300,220000,-1,105433,802051,738706,792224,523728,938778,-1,-1,985306,-1,483392,832219,220024,-1,908441,-1,873534,412198,-1,-1,54853,-1,-1,1569,882260,-1,993159,692603,768806,638900,753506,-1,566124,-1,938275,-1,875283,-1,651773,425984,881944,-1,810561,543528,-1,280019,-1,-1,476739,709791,460802,-1,-1,585526,-1,-1,-1,-1,-1,809528,-1,-1,-1,744013,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,71576,235971,-1,948102,-1,-1,-1,292535,770198,309733,998527,-1,-1,-1,-1,-1,-1,-1,169772,313196,956310,-1,82802,35429,-1,-1,522679,475264,156899,901461,-1,325052,254143,-1,634130,-1,131765,-1,-1,225954,-1,25656,183292,-1,37173,688943,784583,-1,705265,-1,-1,933265,923581,-1,553190,998589,-1,-1,-1,-1,487786,436685,878518,448343,-1,-1,960477,-1,-1,-1,481912,575315,668201,583053,755273,-1,-1,-1,973051,494910,-1,-1,-1,22877,438234,376628,-1,84738,-1,568426,1409,-1,-1,14108,-1,-1,-1,-1,-1,107950,608973,566885,-1,-1,-1,-1,-1,661586,-1,-1,839789,-1,35028,114379,-1,744398,-1,800873,124049,139016,-1,288600,-1,448266,813858,885061,-1,-1,683008,31380,590306,-1,972444,546489,787536,150596,806869,-1,-1,521960,507992,647638,-1,-1,-1,-1,-1,-1,883575,758771,-1,-1,751294,5001,-1,218029,930977,-1,-1,-1,-1,-1,-1,620927,635133,910952,-1,-1,-1,630204,-1,73303,45046,704345,250490,239408,-1,-1,853959,139757,-1,93573,-1,356486,-1,-1,-1,-1,202647,567164,774438,5820,167991,493967,-1,-1,-1,-1,287210,-1,-1,278209,940465,-1,969853,-1,879883,762201,-1,852624,619974,846732,-1,-1,-1,644231,-1,888967,205309,324249,237637,-1,-1,648486,-1,378278,-1,631412,-1,614119,-1,687384,596571,850656,-1,573385,-1,-1,11213,-1,353217,494068,634811,-1,348711,570773,-1,-1,-1,-1,685082,-1,222877,-1,-1,-1,-1,733886,-1,-1,-1,-1,660539,-1,792940,902865,-1,-1,-1,323290,-1,-1,-1,-1,-1,265246,-1,895719,104470,250939,-1,55065,571192,-1,-1,-1,-1,426039,50436,261317,843930,-1,821779,-1,-1,-1,-1,-1,-1,426118,610524,757954,987497,-1,13919,361809,-1,932268,-1,-1,284529,-1,-1,-1,856684,-1,-1,958929,-1,456785,-1,-1,-1,839326,1205,695231,-1,-1,467952,-1,463597,-1,347141,870030,-1,-1,-1,579199,-1,858136,-1,-1,747592,-1,-1,-1,-1,-1,-1,729208,320559,-1,-1,249235,-1,-1,-1,994719,272094,919188,-1,-1,-1,84906,599771,-1,720958,18796,-1,-1,-1,757012,10781,-1,-1,313090,-1,991517,811579,851617,145598,-1,-1,827489,-1,242603,786201,-1,580624,-1,-1,20463,79701,8648,161624,-1,-1,462618,797078,-1,-1,977894,789199,534492,760285,724275,-1,582438,-1,-1,-1,829952,-1,-1,22042,605407,-1,652401,338330,-1,-1,-1,-1,494517,-1,-1,-1,455833,-1,214511,23254,-1,998140,-1,819245,-1,384660,971476,-1,544125,372245,105848,-1,-1,986177,-1,974268,-1,-1,1699,628511,-1,-1,764621,-1,225967,601518,592362,75928,-1,-1,364482,-1,-1,428240,479094,204060,-1,-1,-1,-1,-1,640434,64843,469379,955149,516759,976772,279947,-1,553979,-1,114315,-1,836742,-1,353168,-1,-1,250964,591990,870264,-1,532365,360515,91217,710250,-1,-1,889489,394659,-1,-1,928992,724415,187607,-1,-1,294336,312581,354392,-1,501465,-1,801347,-1,749128,-1,-1,-1,-1,310319,-1,366785,497278,583265,-1,256830,31149,318097,-1,-1,-1,-1,-1,89886,483121,-1,77713,-1,819562,41918,-1,-1,-1,516207,-1,246421,681434,588649,976857,389121,208648,-1,643845,407755,-1,-1,828908,-1,776025,-1,564830,-1,-1,90321,945747,153462,-1,273481,-1,-1,197573,204534,-1,-1,-1,-1,389542,323372,317772,973452,-1,-1,-1,-1,-1,873441,-1,551186,764814,-1,-1,-1,931906,-1,-1,-1,408935,-1,-1,671670,766872,934915,387220,-1,-1,-1,231593,-1,-1,-1,338116,947275,-1,-1,180271,631414,77445,84326,-1,707974,-1,-1,-1,134917,489514,151084,371302,412865,935023,832598,-1,-1,-1,481742,-1,439917,-1,316034,-1,381737,-1,-1,-1,572114,742691,-1,290450,-1,-1,-1,966186,-1,569586,-1,324499,-1,-1,664766,671262,449759,521312,53148,205329,49154,-1,705053,-1,151531,-1,-1,448115,658235,672865,-1,842,-1,-1,-1,-1,611498,571637,-1,-1,980371,56911,-1,891444,268273,234061,390011,128857,-1,-1,664923,-1,-1,13868,-1,917252,-1,-1,658988,528755,-1,599081,-1,941176,-1,385761,-1,-1,-1,-1,-1,-1,61715,220080,-1,553470,-1,578883,237219,-1,884737,995827,127462,-1,80058,646062,757843,-1,-1,-1,135453,722410,464173,-1,-1,-1,655918,710202,-1,-1,-1,488642,145983,-1,-1,580737,-1,-1,423529,724354,-1,-1,-1,-1,-1,300242,287835,-1,37806,-1,363175,-1,-1,495582,337307,-1,-1,-1,-1,149464,580186,-1,69263,609760,-1,516086,421982,684140,448847,-1,-1,166901,-1,479291,312330,237701,566006,-1,425892,195661,-1,-1,-1,-1,-1,-1,-1,-1,-1,676388,532208,470506,871353,-1,380832,-1,-1,798147,772064,534379,-1,-1,526700,408612,-1,-1,-1,437329,937929,-1,-1,-1,281631,-1,-1,-1,407429,849780,-1,-1,919961,-1,104003,344917,-1,-1,-1,111044,595148,-1,806370,490026,-1,-1,-1,-1,223601,72851,-1,-1,-1,-1,-1,-1,53012,-1,-1,420104,596292,-1,996539,-1,-1,190765,649823,-1,-1,-1,100771,-1,809132,-1,-1,486316,807975,-1,-1,-1,-1,827340,-1,-1,438201,-1,-1,620751,-1,25395,-1,-1,-1,-1,-1,206446,456213,441164,-1,-1,-1,50337,-1,-1,293647,-1,361591,-1,-1,-1,-1,-1,434521,696394,310526,666238,-1,641986,-1,776962,387201,580589,971152,26434,-1,-1,-1,-1,-1,-1,-1,-1,-1,445260,380456,843073,-1,925917,-1,307202,-1,44308,587930,-1,266948,490082,-1,-1,-1,785464,-1,-1,-1,-1,979792,-1,277592,733269,-1,-1,284205,-1,-1,-1,867323,-1,-1,90666,809338,-1,-1,125947,516195,-1,-1,-1,-1,557546,-1,330786,891273,-1,-1,798062,561584,-1,637182,-1,407741,-1,-1,636632,-1,-1,278832,-1,-1,-1,-1,186102,667571,124559,235383,-1,-1,470966,345574,-1,817094,701326,-1,-1,220984,-1,860539,180564,-1,441445,496727,-1,737461,-1,-1,410109,-1,549406,817060,-1,904686,-1,951180,-1,-1,-1,-1,190417,-1,682291,996022,922285,-1,162732,101725,690046,-1,-1,-1,-1,-1,595706,-1,-1,800981,-1,175338,-1,836144,-1,-1,-1,-1,-1,-1,-1,702576,673595,-1,109934,198782,939551,572613,-1,-1,999040,526676,100562,322150,209271,950210,-1,-1,-1,-1,606114,-1,930051,214644,876600,-1,-1,-1,-1,-1,59213,-1,664922,57306,574300,719174,-1,546519,-1,447795,-1,-1,-1,-1,375348,-1,967976,172303,-1,-1,-1,858549,-1,219883,889058,-1,503562,842986,962805,-1,108243,-1,-1,724487,296851,-1,30611,-1,-1,135291,348628,-1,-1,247552,-1,-1,727740,-1,-1,-1,-1,-1,-1,-1,-1,948357,186664,-1,-1,601482,7889,-1,-1,35134,473738,-1,907123,-1,644908,615069,-1,-1,624155,-1,660336,772057,633501,-1,-1,745238,854778,836593,-1,760409,-1,951489,712469,-1,-1,494516,981172,-1,898638,-1,-1,-1,59378,-1,467426,839534,-1,750733,-1,-1,101958,243140,-1,484760,689203,-1,479368,809171,-1,822137,-1,-1,930298,618472,-1,420531,792,-1,-1,-1,389516,-1,853945,-1,-1,-1,-1,865911,916753,-1,-1,-1,-1,-1,-1,-1,161462,478104,-1,596199,-1,675093,979666,930733,509017,847366,951615,569893,-1,-1,657455,713263,667186,-1,779902,766053,897576,-1,-1,-1,-1,-1,-1,904200,-1,848965,514624,-1,308844,890685,-1,-1,-1,-1,-1,-1,-1,692771,792602,413989,-1,397359,-1,104867,-1,-1,889306,-1,-1,-1,-1,324570,-1,-1,-1,156684,-1,-1,178518,153173,285078,21276,141843,-1,379827,-1,588993,-1,-1,714433,-1,-1,623832,591146,33541,607558,-1,276258,97372,208745,-1,-1,-1,342082,-1,-1,371183,952344,-1,722772,-1,452366,319871,-1,105726,89580,-1,358964,-1,-1,456846,779752,556962,327560,776178,-1,-1,594948,834883,584758,483764,79186,-1,-1,725760,536416,-1,-1,523764,-1,575000,-1,338065,-1,-1,-1,-1,-1,104495,927441,231698,-1,417553,-1,900643,-1,-1,-1,-1,384272,45601,142635,-1,538838,277428,680275,-1,639785,-1,253516,321907,-1,-1,760364,-1,852910,984775,880816,-1,394539,356288,-1,-1,-1,223366,-1,-1,675589,255803,122920,-1,971143,-1,-1,133447,-1,955600,-1,792197,-1,808787,621095,-1,-1,382077,196232,-1,-1,-1,-1,842572,-1,-1,808726,-1,967206,306870,998824,451096,-1,868636,-1,850483,246451,-1,869979,-1,968026,669305,-1,334145,563754,222569,415132,435130,-1,-1,920370,778911,130266,11950,-1,-1,533385,-1,-1,410620,14859,905016,-1,-1,461350,733753,-1,-1,102536,-1,-1,933591,-1,263970,947565,144430,-1,760586,282779,757259,-1,336710,-1,-1,308869,506779,-1,176773,146188,898858,-1,-1,863708,509456,-1,770514,452130,744729,-1,354833,-1,-1,600264,-1,-1,411939,247020,-1,995908,-1,-1,370145,332990,-1,586858,454401,809646,49888,-1,-1,-1,605169,-1,-1,567004,-1,-1,325546,-1,-1,-1,-1,-1,-1,-1,810361,-1,295736,173982,392853,-1,-1,944414,187721,-1,491226,613854,759955,762928,-1,341710,-1,470155,-1,-1,216751,-1,323257,-1,170244,-1,-1,986323,-1,332255,-1,641352,126302,-1,958266,656717,-1,-1,-1,812712,964777,-1,-1,-1,-1,-1,-1,-1,207705,-1,413787,399383,-1,432879,635343,563075,-1,115053,-1,58938,80681,125035,-1,687517,878686,230681,500376,-1,-1,-1,298231,-1,658333,-1,-1,-1,376160,-1,372620,-1,-1,229940,-1,794178,174789,-1,-1,78710,-1,883306,-1,-1,-1,743704,-1,-1,40141,165101,-1,741097,972930,-1,-1,975701,-1,805555,-1,-1,-1,-1,-1,866307,373332,706032,292733,796318,501918,36887,443419,-1,-1,-1,74706,314692,195632,907083,-1,-1,615352,948288,196974,305158,287398,-1,-1,-1,823074,-1,552808,-1,-1,854313,595867,-1,778026,369212,-1,440718,636970,345055,-1,-1,-1,-1,678570,-1,-1,341504,537593,496224,-1,-1,958430,765452,-1,573436,-1,-1,626331,-1,-1,-1,48530,-1,-1,804969,-1,924326,858116,-1,271522,270072,-1,726044,176289,-1,-1,-1,488392,221992,329957,795289,258289,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,191373,7348,-1,-1,-1,-1,90107,376886,967913,791000,528649,-1,497824,473885,717644,-1,-1,-1,-1,-1,851917,-1,-1,792001,-1,229467,407409,-1,-1,249476,832,-1,-1,-1,-1,245450,-1,-1,-1,851225,2358,-1,611562,-1,-1,-1,-1,890966,909063,996927,495813,-1,163437,-1,522591,284548,56971,18211,837141,236108,120466,-1,690834,-1,308907,-1,-1,165325,-1,-1,886943,459574,-1,693398,2339,823731,67696,-1,44677,-1,-1,-1,939843,323860,-1,-1,-1,122714,-1,-1,28207,108823,373635,976480,-1,226186,-1,219302,-1,-1,-1,609975,914293,730178,-1,239135,-1,137612,-1,-1,-1,-1,69524,765007,787122,-1,574133,-1,101560,934154,942665,221271,-1,190823,544435,-1,900463,706243,-1,224170,-1,-1,-1,537597,503107,-1,-1,-1,-1,-1,-1,-1,898680,489492,430415,459673,7524,-1,439201,70710,98357,258987,-1,232668,799931,-1,-1,-1,-1,-1,-1,-1,-1,660876,-1,-1,716309,-1,-1,-1,-1,703248,700747,80814,-1,-1,69408,282437,615730,968053,555762,550570,734437,113807,997688,-1,-1,907901,-1,-1,-1,-1,795443,182213,-1,881987,973026,-1,-1,-1,-1,606953,-1,-1,-1,-1,231876,-1,93449,379758,568151,972303,567374,-1,-1,-1,549420,356148,132169,-1,-1,172757,565233,214485,35859,584120,-1,-1,122965,250294,7256,-1,-1,38186,430288,-1,-1,-1,914054,858773,977958,-1,696360,855271,774664,-1,609539,-1,-1,-1,124803,80027,-1,347107,-1,582106,527084,226435,-1,-1,-1,815967,-1,646497,-1,-1,977185,-1,328656,523318,-1,-1,-1,441059,-1,687939,-1,378967,771751,-1,178032,76037,607227,429515,-1,-1,21423,-1,987431,-1,675765,-1,-1,67098,528218,622750,570149,198038,-1,-1,783622,273379,783813,-1,898413,-1,-1,732397,296068,-1,-1,376475,100185,-1,741000,-1,221422,-1,212528,859882,-1,685538,-1,500396,529943,965684,-1,95506,-1,-1,-1,-1,-1,499067,592928,542918,-1,-1,381732,90901,-1,214351,172405,-1,-1,826173,261572,160082,-1,780842,-1,911611,71038,-1,923936,-1,483781,-1,-1,927569,798510,745382,583450,348531,965408,872300,880247,489254,-1,-1,-1,-1,-1,-1,548491,94661,640520,-1,482427,613973,-1,450076,118616,-1,217190,-1,-1,-1,802573,148558,753764,-1,556930,627690,72242,-1,580827,155640,93478,-1,484463,470729,948940,388465,-1,-1,-1,853641,624895,731423,-1,386397,429644,53641,-1,-1,-1,415606,-1,757256,-1,-1,897892,161914,817317,-1,-1,276054,930304,136047,16852,674579,-1,-1,726818,-1,588029,-1,713861,-1,574838,-1,-1,200571,874075,110309,-1,-1,17071,61056,786714,-1,397045,159535,591890,440654,610325,-1,684499,-1,153531,638155,654560,-1,-1,370148,-1,-1,-1,664944,160175,-1,556039,-1,822414,200041,-1,-1,-1,-1,-1,-1,-1,937752,858251,-1,-1,-1,500620,610147,248275,-1,211283,-1,222238,560628,-1,-1,-1,-1,-1,282042,952861,-1,950307,774630,144005,554851,-1,491495,524725,-1,-1,-1,-1,-1,895913,660355,-1,161897,872983,141151,-1,866381,720883,-1,-1,-1,341809,109961,642415,142851,737955,232825,-1,988591,-1,-1,-1,-1,-1,345690,697630,-1,527067,-1,451159,102958,-1,98623,-1,944494,385155,-1,611606,-1,-1,-1,565947,925362,-1,-1,-1,-1,-1,353448,419902,-1,276570,702114,-1,285120,290550,-1,-1,40118,-1,-1,-1,938980,-1,705367,-1,976993,-1,-1,-1,786770,157311,-1,-1,-1,187514,476579,657638,99889,899861,846210,-1,976230,-1,240952,170281,-1,-1,-1,-1,-1,163651,-1,403990,613463,-1,-1,116437,-1,-1,600421,814319,-1,-1,833576,133710,213346,-1,363004,139053,486573,274689,-1,845773,636484,637082,-1,-1,982346,-1,-1,452709,550066,202366,-1,609225,45345,672932,870025,120232,-1,-1,684225,-1,337885,41070,174729,974632,-1,482893,-1,-1,-1,143100,708613,-1,358144,33616,533538,690709,-1,412081,-1,-1,250112,-1,-1,-1,134202,725240,-1,-1,592266,819084,605248,-1,-1,918282,-1,-1,807266,-1,590555,432407,-1,-1,-1,351283,168252,-1,27121,-1,-1,-1,-1,-1,-1,-1,482748,334645,993072,365516,96439,611077,736048,-1,-1,-1,417460,628558,-1,-1,822270,829923,122463,-1,-1,-1,-1,-1,-1,100547,57609,-1,-1,-1,-1,-1,295892,448974,522742,-1,350017,-1,916290,281599,-1,444145,-1,348115,-1,482126,578514,-1,290995,469627,-1,-1,575255,-1,-1,-1,-1,935071,183141,149967,-1,607353,-1,233702,-1,394995,-1,-1,867484,954438,176743,-1,974970,927575,477799,-1,454388,-1,196852,-1,556774,-1,-1,-1,-1,-1,620028,982511,897029,87380,-1,485705,641896,896875,851305,-1,-1,-1,103922,799922,71728,-1,84186,321894,-1,-1,813371,-1,837327,171093,-1,-1,-1,-1,698998,80111,-1,129089,-1,999886,-1,584579,-1,-1,572275,68138,426334,725577,950919,392825,-1,439755,-1,500754,572925,18067,695413,-1,-1,804202,-1,22353,-1,308361,560455,-1,501531,-1,-1,-1,-1,-1,692384,250973,-1,505094,-1,282405,-1,-1,599473,-1,581864,-1,20896,608551,517113,146806,749727,565523,-1,-1,99232,395712,-1,-1,-1,-1,643139,-1,-1,427050,99491,-1,987390,978814,-1,618780,519860,-1,-1,575758,-1,44293,-1,756075,751897,-1,-1,-1,-1,500234,815586,-1,-1,146576,-1,444340,-1,-1,-1,353065,-1,584933,365676,382043,-1,299988,481675,-1,-1,-1,-1,-1,-1,-1,455886,887027,125608,536649,394208,-1,643648,142262,-1,-1,66807,626361,-1,-1,469868,-1,-1,400446,973768,334803,-1,-1,683925,-1,792005,-1,807730,-1,-1,-1,-1,-1,-1,725295,362293,584936,73806,385420,179431,81299,832577,-1,332013,820407,-1,132378,-1,12642,288693,488867,-1,663612,-1,988956,623003,-1,-1,-1,-1,-1,-1,-1,503324,-1,-1,-1,-1,-1,711151,80078,-1,457511,670790,-1,678094,-1,540392,178590,136194,-1,336519,948389,831428,-1,-1,335377,-1,716441,-1,-1,856709,324936,286599,676927,-1,-1,-1,443554,414613,473912,876594,-1,28043,-1,-1,901206,-1,524607,-1,181635,-1,583345,270407,861638,690665,-1,934400,-1,581337,-1,833345,696340,-1,852730,-1,-1,-1,-1,873688,-1,-1,518175,-1,-1,-1,-1,-1,-1,853587,-1,-1,17607,848146,-1,306083,847685,924212,492431,142103,-1,-1,356843,291142,-1,124470,-1,-1,942456,-1,-1,-1,-1,666357,-1,-1,-1,186921,-1,-1,547106,468973,-1,-1,-1,-1,431921,-1,-1,184717,-1,-1,72697,161447,-1,593805,-1,-1,-1,995883,-1,-1,-1,-1,-1,169197,190928,-1,-1,-1,-1,39481,738384,-1,-1,458628,-1,-1,-1,500211,483898,561649,147996,996939,-1,-1,652433,161468,339161,-1,73742,950051,922778,745587,199952,-1,-1,-1,-1,230943,703946,-1,-1,-1,-1,920964,923291,427912,-1,420181,302574,791516,-1,20021,803615,436995,301629,-1,-1,-1,767684,161108,557030,210216,-1,271363,546695,-1,935199,336050,743305,-1,652924,-1,-1,172174,-1,992096,120918,322374,681927,-1,-1,245765,810966,767214,-1,424192,-1,972270,295994,583252,155057,993396,-1,-1,921466,-1,56108,163350,-1,-1,-1,-1,621153,456981,612943,831464,273061,-1,646571,-1,-1,229625,178945,-1,317022,364251,-1,-1,797358,453866,-1,-1,-1,-1,-1,752746,-1,405718,-1,-1,-1,-1,-1,368614,-1,631134,783742,204925,217310,905858,-1,-1,881044,573720,-1,492011,-1,-1,980777,-1,704097,912689,628246,755292,462670,879333,-1,-1,277276,-1,-1,-1,250675,-1,-1,-1,-1,888475,522286,-1,266358,-1,-1,443641,-1,91540,175583,-1,-1,278382,478325,-1,882318,428190,-1,829975,622257,-1,865544,-1,-1,-1,-1,365257,59641,-1,61125,-1,-1,624543,-1,-1,333616,-1,-1,917726,136158,-1,842923,-1,574168,-1,-1,356961,-1,-1,-1,-1,644625,-1,-1,-1,462633,390047,847299,-1,694760,-1,-1,354610,-1,330551,704775,654499,975109,930712,7634,870569,-1,352408,261887,412923,81744,-1,-1,-1,-1,-1,986018,-1,-1,676932,-1,206497,-1,991409,-1,-1,679059,241919,-1,234222,549062,458996,202368,-1,-1,653119,265551,-1,-1,-1,-1,-1,920718,-1,817479,-1,-1,-1,374908,-1,-1,-1,-1,-1,92483,-1,710571,-1,-1,-1,-1,-1,-1,367105,-1,305866,242710,731107,-1,352285,-1,-1,215399,-1,-1,-1,-1,-1,693770,-1,995190,745620,836998,355281,-1,-1,-1,816132,-1,849386,549187,64946,752480,-1,367164,-1,-1,291389,575544,-1,-1,711424,888800,-1,-1,82860,-1,619681,567682,237337,-1,-1,-1,-1,-1,-1,833961,-1,933328,826812,-1,-1,918364,663966,650443,406060,-1,753453,-1,240678,-1,508475,659003,467023,535740,342235,21289,-1,-1,-1,-1,454876,755181,-1,164383,-1,925661,-1,-1,-1,-1,684365,-1,-1,850088,478062,418606,534289,-1,-1,946084,602926,-1,584077,177762,168640,64267,305106,757195,-1,615743,-1,15971,-1,965279,-1,-1,-1,-1,-1,-1,637064,531384,419511,574599,6983,774759,-1,260249,762803,389622,-1,-1,345881,-1,-1,-1,-1,542585,978649,749295,-1,-1,633159,-1,747513,-1,-1,-1,-1,232675,-1,-1,367145,81665,-1,825374,-1,-1,-1,852490,-1,352763,-1,42067,-1,680956,-1,943797,-1,-1,-1,584371,739857,-1,-1,519018,-1,365437,-1,332821,381427,569901,492044,-1,-1,-1,818415,-1,957763,486642,135339,-1,831192,-1,812256,-1,-1,504241,434073,248072,-1,-1,-1,-1,48281,799325,-1,-1,-1,-1,352348,473486,-1,750982,-1,717729,872374,700274,-1,-1,396567,-1,46693,-1,-1,-1,632972,154515,206891,-1,903868,304162,853704,-1,261908,-1,-1,158105,453373,-1,-1,609365,845155,-1,-1,293627,498808,361975,-1,-1,383451,450013,-1,-1,723720,-1,825490,6993,-1,-1,-1,380092,-1,-1,-1,412316,-1,-1,55407,-1,422026,506807,-1,365142,-1,-1,-1,842059,-1,589332,-1,759183,438795,-1,-1,-1,-1,-1,-1,660038,396011,229453,-1,-1,688920,-1,-1,-1,-1,-1,322536,-1,462843,3615,-1,528700,-1,610825,-1,605187,446654,186782,787087,-1,318426,-1,284421,118486,-1,90252,124929,674556,568999,401481,-1,-1,-1,-1,629402,-1,900419,775996,-1,859194,215972,-1,-1,46058,-1,-1,-1,-1,-1,-1,200276,-1,225469,100954,-1,-1,-1,-1,-1,351412,-1,166461,-1,-1,-1,115847,77205,278296,-1,-1,-1,-1,511688,502681,672652,-1,759785,-1,424946,397198,-1,-1,981364,299799,602376,39985,675333,-1,-1,-1,12205,882236,-1,128256,-1,-1,130613,633940,412519,374479,-1,-1,486984,-1,848499,785575,331229,-1,-1,217665,46558,212626,419596,-1,899725,-1,518607,-1,-1,718896,580507,496120,-1,460319,-1,-1,344202,956850,666004,-1,-1,550429,613308,289296,887896,335770,-1,-1,150766,851872,-1,-1,28759,648855,-1,-1,287119,796923,166269,133173,-1,-1,-1,-1,-1,343426,-1,59238,-1,-1,-1,781195,723596,-1,24821,-1,-1,-1,-1,-1,-1,76101,998697,-1,799617,562197,297355,-1,-1,785798,-1,-1,342234,476429,-1,277296,536186,-1,-1,476685,326665,-1,-1,-1,-1,-1,926998,374584,-1,870544,913086,651073,516377,-1,9792,15184,727861,756595,728481,9467,-1,-1,-1,-1,873290,-1,-1,801075,-1,-1,-1,343693,122820,893251,694131,-1,-1,820884,-1,-1,330221,419173,-1,-1,662900,-1,-1,-1,-1,-1,833360,225342,-1,-1,201859,522127,589868,451561,846477,435296,958423,-1,313985,-1,-1,-1,-1,-1,203811,222996,323942,389488,-1,227395,285123,-1,-1,-1,-1,636220,522650,738562,-1,-1,-1,435695,-1,-1,353638,303722,782272,128729,870729,255902,215665,-1,-1,973004,734754,-1,41489,-1,-1,481729,-1,-1,257724,-1,791467,-1,257014,468817,-1,191679,619211,674911,-1,630812,643756,15950,997612,-1,-1,-1,254925,773497,438135,67650,633518,-1,-1,534070,235958,-1,308027,838220,868950,538856,-1,901575,-1,576040,-1,-1,-1,-1,63606,-1,-1,576075,-1,817460,193229,-1,-1,862276,-1,316056,-1,-1,-1,623058,755166,-1,-1,828864,-1,-1,618019,272404,-1,-1,-1,-1,-1,318744,435019,-1,432876,-1,486117,570129,227337,601284,-1,-1,-1,137710,-1,204630,216808,-1,-1,937801,-1,200974,108246,-1,950273,594051,148881,-1,738944,-1,-1,-1,-1,420529,-1,-1,645544,834873,-1,-1,-1,705945,-1,-1,-1,287013,240538,272507,-1,133025,64854,158948,908674,787918,-1,730528,351253,614520,-1,86927,676319,-1,-1,-1,-1,-1,-1,756295,709061,-1,-1,-1,383619,27532,-1,142927,558000,-1,-1,734227,-1,568643,-1,977525,-1,108645,208182,-1,378095,639894,-1,-1,-1,-1,537811,-1,46446,323119,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,710400,-1,-1,-1,292031,-1,-1,-1,-1,-1,163239,-1,247765,673016,938309,-1,-1,875186,350148,-1,546467,132436,-1,298520,-1,-1,-1,49903,787626,713709,-1,211733,488565,-1,-1,-1,313732,-1,510245,-1,405508,-1,-1,529923,588928,-1,995008,135781,333752,-1,-1,70157,61676,-1,702123,13322,462502,-1,-1,94902,569066,-1,-1,430981,923030,-1,-1,-1,194415,-1,255908,-1,-1,-1,530232,662628,543991,-1,-1,573531,341144,165915,848606,-1,-1,625604,122676,942819,226293,-1,-1,-1,-1,-1,933825,-1,74808,-1,173034,220548,679300,183365,-1,597109,-1,-1,-1,300115,-1,-1,406700,-1,313051,-1,-1,471238,943950,-1,-1,-1,241964,-1,179682,-1,-1,679817,-1,387980,-1,559688,584762,173943,827237,-1,-1,326527,-1,-1,-1,789844,-1,-1,-1,-1,-1,-1,-1,545219,140860,634555,929238,915346,144418,405727,-1,-1,978444,-1,-1,305389,-1,-1,759311,833530,-1,-1,907677,-1,453056,-1,-1,-1,57056,-1,-1,-1,575021,48514,821482,809755,293796,27576,-1,804768,415747,808143,-1,-1,992192,551617,-1,-1,84214,450485,95999,724771,704519,726565,-1,-1,-1,-1,-1,-1,-1,754456,606171,919349,-1,295976,801608,52016,-1,695974,273178,901560,656748,955466,813161,-1,616888,581374,896186,818099,913681,163277,-1,-1,984193,419307,856321,-1,298572,-1,-1,324115,132619,-1,-1,-1,828744,-1,-1,712225,-1,861532,493759,-1,-1,904212,753720,-1,939727,577145,-1,-1,-1,427869,-1,892075,-1,458404,156668,155735,-1,91984,-1,185986,-1,591304,-1,795914,-1,735003,-1,-1,913490,855321,-1,427614,-1,532726,-1,-1,-1,-1,380562,755030,480619,-1,99228,521632,500708,399783,-1,63066,-1,-1,-1,130947,-1,-1,191306,-1,-1,-1,660882,-1,-1,-1,189990,538507,159496,-1,701855,-1,-1,-1,-1,808166,-1,807333,999959,461424,416191,-1,-1,-1,758835,-1,-1,-1,-1,751475,426044,-1,-1,767683,176315,588889,490241,-1,385728,990764,838853,807973,-1,386875,828481,-1,-1,-1,-1,701721,270603,-1,395155,78841,855086,-1,-1,370050,-1,-1,-1,-1,132772,-1,45444,-1,129433,-1,767300,207168,295623,-1,-1,-1,-1,975309,-1,296950,-1,-1,44777,-1,-1,89568,-1,659206,-1,937561,-1,336931,-1,-1,364621,-1,-1,647743,-1,153382,715655,170795,420402,-1,69425,-1,-1,-1,934612,307116,729164,-1,848436,542685,758006,-1,-1,711216,-1,432628,926967,-1,-1,805365,-1,-1,-1,-1,709303,-1,19591,-1,-1,501986,-1,586074,644638,-1,-1,889511,-1,-1,-1,708427,18569,-1,198752,-1,-1,105194,-1,800155,-1,920310,233093,751625,-1,135014,-1,-1,176974,-1,-1,-1,578234,467419,-1,-1,419688,625832,571933,463976,97015,317200,267426,-1,-1,-1,-1,292490,623312,218052,-1,186368,-1,-1,205902,130899,21329,49214,331076,-1,717796,-1,-1,879206,-1,80395,-1,549133,265588,-1,742752,-1,862619,-1,689633,-1,-1,873022,-1,-1,732342,-1,434895,-1,666232,-1,-1,-1,292309,-1,498620,108803,-1,-1,-1,588245,391872,-1,-1,-1,-1,886164,599060,949092,521919,-1,513730,-1,281736,-1,576661,791369,-1,-1,896836,313265,990699,-1,835957,415751,-1,541373,-1,22674,727598,-1,554236,-1,-1,-1,383065,-1,-1,-1,324004,484953,75958,-1,760504,534232,871956,-1,507865,903996,603598,-1,-1,666294,138018,397421,403697,-1,896453,478974,-1,618262,-1,876865,972635,-1,-1,-1,-1,-1,-1,28094,638583,802949,-1,-1,-1,-1,579657,682227,-1,594779,-1,-1,-1,-1,-1,-1,357088,927314,-1,-1,-1,700424,-1,-1,277121,-1,27619,-1,697400,-1,625994,722865,-1,115323,-1,370717,-1,-1,-1,-1,-1,427068,843633,-1,-1,-1,401226,-1,-1,-1,959055,42399,170275,370029,996002,635374,227098,-1,-1,42052,458033,-1,820002,-1,-1,24823,144839,-1,-1,605992,-1,297351,825231,603003,592694,-1,708162,950542,-1,-1,-1,538693,954534,-1,-1,-1,933959,124693,-1,237487,-1,249092,-1,271125,-1,-1,-1,-1,991757,755386,825435,-1,477968,-1,229903,-1,-1,552923,840285,-1,-1,133136,-1,-1,-1,370528,-1,33686,900676,267985,-1,305310,-1,-1,-1,129932,839916,-1,980038,298518,2094,539809,808008,-1,-1,469409,-1,-1,-1,-1,-1,-1,-1,-1,-1,773784,-1,540539,-1,-1,789105,922942,644400,58126,-1,-1,-1,-1,-1,-1,407915,-1,416777,144483,772187,94281,539319,984822,3619,613353,-1,-1,-1,-1,-1,989707,786951,902590,-1,81194,903564,-1,-1,-1,-1,780680,-1,-1,-1,301184,-1,-1,152137,-1,793579,-1,68248,908772,-1,177883,856448,848644,786712,686925,-1,-1,618340,701384,-1,498140,797264,-1,124752,-1,840513,-1,-1,526778,955035,-1,-1,-1,762857,718065,957991,-1,136279,531730,-1,-1,-1,705108,-1,144242,279621,-1,-1,-1,-1,-1,-1,-1,234499,-1,641362,289274,-1,416705,-1,943889,441725,-1,-1,786852,-1,313296,-1,-1,489130,830524,-1,-1,-1,-1,990078,-1,-1,-1,-1,821141,-1,376047,-1,-1,-1,-1,634191,-1,357868,-1,-1,311990,-1,-1,-1,-1,-1,318958,838529,-1,794817,200211,87848,598716,-1,193824,-1,-1,-1,119475,-1,-1,562698,-1,-1,-1,-1,480916,-1,-1,855204,227775,294862,-1,774944,-1,-1,-1,471409,-1,582081,358969,-1,696275,-1,-1,778242,-1,-1,-1,-1,25660,-1,-1,-1,-1,270128,-1,-1,473581,-1,221639,-1,83487,-1,105287,798609,-1,19770,29639,282024,-1,192165,-1,509530,-1,-1,227566,543175,-1,-1,411934,-1,422938,711142,-1,895833,-1,276795,-1,797536,-1,116393,-1,-1,208977,441836,-1,-1,507578,-1,-1,-1,-1,-1,-1,699169,-1,648917,-1,701929,918054,869399,134446,329005,-1,811758,654114,28139,-1,-1,258280,842580,692039,86803,559190,-1,945870,552954,690913,-1,956000,90478,243111,245978,-1,-1,-1,275428,-1,106135,567903,-1,-1,613858,-1,182241,641796,643972,786424,-1,-1,-1,449803,267487,-1,-1,-1,685920,509154,208284,-1,204918,-1,443043,165317,807676,123379,-1,555211,82028,-1,730280,-1,-1,-1,-1,574986,210073,-1,-1,388255,884889,313525,-1,-1,-1,-1,163243,162450,-1,600586,-1,-1,387321,531972,-1,-1,-1,186085,-1,-1,-1,-1,-1,-1,269997,-1,-1,-1,676792,-1,536990,-1,192723,-1,-1,-1,562266,290067,-1,564307,833537,216352,391009,514309,-1,-1,504777,-1,141011,27503,402496,372522,-1,-1,919334,-1,574132,-1,-1,-1,-1,-1,-1,898365,-1,-1,-1,264225,545034,-1,-1,-1,-1,649891,-1,-1,-1,479671,-1,-1,11533,359770,-1,337510,92099,476132,525101,440367,-1,-1,-1,487734,887508,240149,-1,-1,253754,226925,373937,-1,837986,18233,776867,-1,-1,102333,-1,387535,-1,-1,-1,690119,-1,-1,-1,-1,589839,-1,-1,-1,144789,980494,-1,-1,549325,371448,739260,-1,-1,-1,-1,-1,46874,203348,-1,369630,-1,442322,390559,6311,761936,987780,-1,-1,-1,393654,-1,760011,-1,122728,894842,669731,-1,70502,19784,360048,-1,565677,-1,95377,205801,-1,158047,-1,-1,-1,-1,906079,-1,-1,-1,432157,-1,-1,145849,289141,495659,-1,91296,53058,399340,245309,328676,-1,-1,-1,272873,-1,303410,-1,772523,925298,-1,84951,289982,67870,154334,830489,67970,724205,952636,-1,681717,207668,-1,680798,125939,-1,-1,-1,-1,-1,524854,-1,-1,966811,-1,762209,286268,917665,310913,300887,507787,-1,-1,838190,800976,190967,766389,-1,-1,155429,-1,843637,555276,-1,700208,144380,206306,-1,-1,322735,-1,188372,523871,9369,397418,-1,-1,162385,60997,-1,-1,388318,602882,-1,127450,811734,166553,363226,-1,478701,-1,556274,-1,735169,-1,547629,-1,884660,693959,-1,-1,-1,-1,-1,373576,-1,850259,-1,-1,-1,-1,221079,410096,446422,-1,390552,-1,-1,439050,-1,-1,-1,83505,-1,21095,17581,-1,508082,98116,372647,-1,30461,-1,-1,810792,515522,-1,-1,-1,221915,-1,-1,416974,623695,531375,-1,-1,-1,-1,829556,979421,30619,29473,-1,-1,-1,-1,190084,-1,-1,-1,-1,-1,172761,96251,-1,84959,339406,-1,630533,-1,261257,591280,-1,-1,371117,-1,-1,-1,161817,-1,-1,634672,-1,940697,384746,74913,670016,162760,172948,614406,263201,831406,130579,-1,-1,-1,42648,425011,-1,963336,871153,10592,-1,-1,-1,783657,-1,650541,443627,505525,330446,-1,-1,-1,-1,-1,304768,-1,-1,-1,-1,-1,-1,-1,-1,861301,281060,631910,-1,-1,-1,695551,199386,-1,148597,-1,-1,909224,440368,490770,-1,-1,-1,-1,514394,-1,-1,-1,667219,-1,22107,139107,-1,916449,-1,64767,-1,980153,412922,488146,-1,-1,-1,-1,269431,815362,-1,-1,-1,542418,872674,354931,-1,75896,-1,-1,739515,216157,899210,124815,-1,388254,478832,-1,-1,-1,-1,476964,215164,-1,504931,-1,682181,-1,-1,-1,-1,842669,366981,-1,794710,970008,890842,640852,-1,-1,271849,538609,-1,261854,-1,706586,922014,91627,419451,-1,458700,-1,314881,173944,475152,246390,-1,214300,408300,-1,496008,433569,424598,700150,287497,927534,-1,204449,-1,610811,-1,567730,694996,-1,841974,-1,549965,974972,189104,823543,378613,297633,893576,-1,-1,-1,-1,-1,142133,-1,926091,106131,-1,891696,-1,-1,-1,-1,-1,-1,-1,-1,-1,457109,719652,-1,-1,638749,714837,600576,720854,-1,597690,-1,-1,667653,-1,-1,-1,-1,-1,-1,-1,-1,-1,561124,-1,683270,-1,103591,-1,575435,363663,-1,-1,-1,644024,468625,-1,780478,-1,210548,-1,-1,51680,170973,-1,-1,83417,979009,-1,616455,-1,560906,801596,-1,440952,-1,375899,-1,738794,-1,332689,144549,-1,-1,981535,-1,900372,-1,44720,-1,518347,170554,701833,-1,-1,339303,-1,405042,330380,18800,-1,632971,-1,239814,-1,-1,-1,-1,-1,-1,-1,-1,-1,14139,-1,-1,-1,291955,109207,-1,-1,955278,-1,908042,-1,-1,225472,-1,-1,-1,-1,-1,-1,-1,645852,450535,-1,-1,583416,345808,162167,-1,-1,-1,608282,52484,-1,748958,88845,-1,786339,491593,-1,-1,-1,-1,409373,-1,92679,90783,-1,865361,-1,-1,221228,427818,758569,-1,509137,818812,-1,564956,-1,-1,422039,694952,-1,-1,447826,312861,-1,766031,540787,-1,91122,-1,791001,-1,568351,44008,651131,446778,547191,-1,-1,853367,530985,-1,-1,-1,-1,697604,-1,-1,-1,95077,739653,-1,-1,344718,476725,-1,667224,-1,36382,900988,711843,857811,20026,-1,789426,148056,674223,-1,-1,-1,-1,-1,478199,-1,78949,-1,-1,691031,-1,-1,936122,490392,974346,-1,360706,-1,-1,-1,814252,2248,121339,-1,325467,628990,61586,-1,-1,-1,-1,-1,469640,892318,-1,270107,-1,468305,-1,652880,311809,534702,565585,875883,-1,42101,-1,-1,-1,-1,-1,938369,611537,-1,-1,-1,-1,883727,-1,-1,930508,201730,-1,-1,750517,813159,-1,417842,-1,366256,275198,-1,479678,-1,226181,-1,-1,188062,-1,-1,488057,64415,-1,57679,-1,430099,-1,56003,448987,-1,638305,403766,169671,918607,783442,-1,422029,-1,-1,789589,-1,87430,109304,379597,-1,-1,196295,694503,572095,449757,787370,-1,-1,933577,-1,298190,740542,-1,-1,179248,-1,976330,-1,-1,-1,703762,926392,-1,-1,487395,-1,303063,893912,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,66795,564452,242983,-1,-1,-1,-1,-1,-1,881090,222746,640701,909814,-1,-1,-1,-1,-1,403374,760075,-1,-1,-1,-1,440346,342187,-1,-1,-1,546106,197219,845241,744009,-1,392810,-1,-1,288426,-1,-1,575291,881363,-1,788265,-1,145698,63865,-1,48456,70801,771294,896939,-1,854836,-1,-1,49254,-1,-1,448982,664420,301744,-1,117450,-1,669636,-1,-1,-1,-1,220949,-1,-1,-1,-1,528961,981040,-1,869328,-1,772287,198949,9557,-1,-1,528611,415356,668444,830875,63504,935681,-1,-1,109054,-1,234477,15363,-1,24458,-1,215035,-1,716628,-1,-1,486272,250552,195567,398033,432700,-1,-1,-1,-1,-1,-1,948759,-1,95019,-1,98255,602787,-1,-1,-1,-1,715597,773269,701878,-1,554933,972200,-1,-1,-1,-1,24473,-1,-1,-1,-1,174443,-1,-1,497301,816218,893492,872050,9480,906401,349816,-1,96419,919869,-1,445622,-1,101462,-1,-1,-1,-1,-1,-1,-1,732577,863327,280886,-1,-1,-1,705183,597306,203310,-1,543012,291415,-1,406148,-1,-1,-1,515067,-1,-1,954328,-1,189449,-1,-1,761266,311660,108848,-1,-1,936249,-1,4802,-1,16065,-1,-1,-1,-1,222905,-1,-1,775310,-1,-1,444471,-1,-1,958638,339550,-1,879049,695735,984061,-1,-1,31973,-1,-1,-1,986754,953851,158052,-1,-1,-1,884665,-1,398898,231353,-1,-1,-1,-1,-1,171574,-1,-1,535635,450969,17842,-1,320629,637936,-1,-1,735343,-1,-1,669526,-1,-1,349444,-1,-1,580212,579151,744478,887040,247614,-1,-1,134483,606248,-1,-1,290909,416222,511485,-1,-1,-1,-1,-1,-1,-1,816853,767461,838631,-1,-1,385202,-1,-1,-1,366710,889351,-1,981405,-1,69863,-1,905911,-1,110934,912231,-1,-1,791175,238925,483425,361278,861635,-1,668517,-1,-1,852326,124395,576578,-1,146506,-1,619775,-1,541109,502360,-1,934179,242672,-1,39913,-1,-1,301139,-1,140584,-1,524247,613399,-1,-1,253623,128815,659072,665190,-1,254287,-1,521927,-1,-1,762283,-1,-1,-1,201445,-1,-1,751084,-1,-1,61754,-1,-1,947610,109474,501888,-1,394824,-1,294178,-1,757379,-1,411965,-1,-1,442017,-1,-1,257955,934270,560869,-1,200949,893323,-1,-1,-1,-1,-1,525745,327642,-1,-1,995112,-1,-1,-1,-1,273446,-1,-1,-1,818547,-1,859870,-1,-1,202621,-1,-1,-1,547853,-1,-1,494524,-1,951582,584018,113435,727856,-1,-1,18273,-1,57340,-1,-1,-1,454890,719435,-1,317808,476027,-1,-1,67792,990467,986901,-1,171739,-1,-1,-1,-1,666669,-1,394554,-1,-1,-1,931328,-1,525347,-1,317451,995603,140011,-1,753756,364809,739756,-1,-1,-1,-1,-1,179509,506269,861508,95949,-1,-1,857228,39659,-1,853205,-1,-1,-1,473954,820973,496881,-1,432696,767716,-1,133029,697388,841266,665043,725548,109029,-1,774990,-1,-1,-1,-1,-1,458442,-1,265563,190771,736831,-1,-1,-1,655535,266382,-1,993734,607564,307508,170533,368060,-1,-1,287758,748578,-1,310599,-1,-1,-1,-1,16690,-1,-1,-1,-1,795691,-1,215915,-1,599744,-1,972117,500813,547413,-1,393193,-1,-1,14746,-1,85419,127901,703943,455165,380031,657805,811689,-1,-1,636379,-1,993833,411793,-1,679921,306967,127120,-1,585589,-1,15054,798640,443809,-1,142911,-1,-1,65243,-1,898340,241418,-1,-1,534872,-1,-1,170691,-1,-1,200299,-1,430175,434371,-1,384532,-1,91003,918213,545726,871270,-1,553291,-1,-1,183087,679497,244946,379587,658141,656658,-1,980231,-1,-1,298370,697476,-1,-1,-1,889806,-1,105828,-1,-1,211078,-1,-1,-1,-1,263703,212367,331092,-1,406984,877029,-1,-1,583753,138861,54518,-1,-1,-1,-1,-1,863871,79799,-1,-1,582127,-1,911183,361265,408618,854951,770546,509444,-1,845119,944767,-1,-1,583897,861526,-1,-1,288288,566940,587730,791623,-1,-1,-1,-1,-1,-1,660016,556768,706908,223759,71174,244709,-1,-1,-1,-1,746908,560062,-1,-1,533515,-1,-1,836864,153108,-1,-1,-1,961423,-1,-1,884243,-1,-1,-1,426645,-1,-1,-1,-1,-1,985525,-1,255216,-1,186251,-1,224268,982848,862954,-1,-1,935164,697876,-1,106173,496510,-1,514519,-1,570664,-1,-1,969128,869289,-1,-1,-1,691474,479771,-1,-1,-1,-1,-1,572543,-1,-1,-1,-1,690894,-1,-1,718475,-1,989656,908534,591873,-1,-1,-1,-1,-1,253289,782218,312279,142786,-1,-1,-1,-1,-1,338448,-1,896640,-1,995996,391664,789451,-1,-1,381870,-1,126377,115775,743370,225821,-1,-1,-1,-1,388115,814280,-1,301438,419662,-1,92165,713736,-1,581088,-1,496343,-1,568122,544040,-1,-1,127633,19915,-1,-1,-1,-1,-1,639990,-1,944593,932766,-1,-1,-1,-1,231682,809890,-1,613420,-1,-1,105311,-1,-1,855861,-1,-1,-1,-1,541738,272865,96555,-1,887747,-1,618773,-1,-1,756111,716948,147330,224148,-1,560749,564620,197286,802223,521390,-1,-1,670927,334500,13812,920398,75400,-1,40218,42582,648169,-1,888006,3870,-1,-1,-1,-1,680292,-1,848102,-1,-1,891362,924371,-1,428262,-1,806196,243456,665669,961199,-1,-1,591467,-1,-1,-1,-1,-1,-1,-1,906605,-1,-1,-1,118539,368040,170415,-1,688818,56961,283993,-1,983963,-1,-1,-1,-1,674319,-1,-1,-1,-1,189653,994610,981810,-1,269376,-1,-1,-1,-1,585053,-1,-1,-1,-1,-1,294453,440685,947277,-1,773157,526841,-1,193671,63154,148750,405200,428652,321337,-1,699837,936825,-1,26194,-1,278237,-1,-1,750289,-1,405954,698177,777157,-1,-1,743437,963410,178708,371491,470132,-1,-1,-1,-1,50640,180343,916332,-1,973041,-1,330152,-1,-1,260613,782102,837873,58530,395205,-1,258307,142106,-1,-1,-1,-1,-1,-1,-1,-1,718031,471037,-1,147014,-1,-1,-1,786797,-1,-1,977692,457353,-1,931636,-1,864625,-1,-1,-1,912849,525596,838398,-1,-1,974083,820082,-1,-1,-1,445859,377539,-1,545276,-1,496485,502666,343352,761220,-1,-1,-1,-1,243126,-1,-1,-1,-1,-1,321477,239172,227817,510515,880755,404227,-1,-1,-1,-1,984341,-1,346060,-1,-1,-1,673864,-1,-1,127194,786986,562204,-1,-1,-1,-1,75452,173636,-1,-1,348546,434951,-1,-1,-1,-1,417714,-1,-1,-1,352532,-1,599607,-1,-1,-1,-1,-1,836720,145432,-1,890800,449024,-1,-1,-1,657378,798692,-1,-1,610627,-1,472459,556499,189175,-1,-1,-1,344360,355586,262068,414686,-1,-1,-1,-1,-1,-1,-1,-1,880793,504601,507452,155364,-1,-1,-1,156632,-1,722127,-1,-1,293969,32345,577946,-1,225438,949800,-1,-1,825675,730042,527521,320907,-1,-1,-1,-1,-1,793764,-1,769006,-1,450734,-1,565836,-1,944172,622184,4067,-1,737660,91383,958559,443485,-1,-1,759358,-1,-1,-1,-1,-1,425350,19236,-1,395006,-1,801154,-1,159814,-1,-1,384662,-1,848641,226323,643870,173122,515614,80742,-1,-1,-1,-1,916476,51345,922488,827505,-1,617856,729351,-1,-1,-1,119481,-1,681,-1,-1,942593,-1,-1,-1,-1,246537,-1,-1,56292,-1,-1,435589,-1,608346,269187,974988,-1,-1,268811,37713,-1,-1,480105,584962,-1,549794,-1,337533,-1,165926,887210,-1,-1,669652,-1,435558,-1,-1,-1,-1,283768,467007,147811,-1,-1,-1,-1,-1,-1,-1,-1,293115,-1,230450,-1,762962,304070,425113,689078,828518,-1,91297,-1,708096,-1,260078,-1,317917,-1,890370,-1,800610,223361,-1,-1,-1,701313,676709,371604,509288,457303,-1,-1,-1,-1,-1,612242,-1,-1,-1,550458,439786,378177,-1,407192,768780,284806,978045,812826,416675,-1,565235,973624,49692,282027,-1,-1,328288,-1,886796,-1,384720,167814,-1,353140,-1,972725,-1,-1,-1,698837,-1,-1,-1,473547,532406,-1,-1,176410,290491,-1,-1,498650,-1,-1,-1,-1,452212,378662,936542,-1,-1,513946,607231,-1,353902,185591,-1,791917,-1,524779,-1,504506,-1,66972,304466,758085,-1,567263,-1,304931,-1,332651,-1,-1,-1,-1,677732,984283,-1,-1,681732,980858,-1,147807,-1,-1,-1,-1,461173,-1,877573,-1,-1,-1,193134,-1,230665,-1,-1,-1,-1,-1,216633,-1,190067,-1,397312,956417,-1,-1,-1,-1,343484,341568,-1,45904,818794,369909,411373,-1,-1,552714,-1,217977,-1,-1,-1,-1,1680,888042,510061,-1,79792,269182,850346,550065,-1,304059,757942,-1,-1,369414,63465,432764,-1,975766,173366,-1,835583,909440,-1,-1,138571,459780,-1,-1,-1,753543,45432,696135,675214,332459,-1,894397,-1,-1,268492,911484,-1,-1,657580,739092,800919,581326,-1,-1,-1,141088,359982,868322,-1,-1,-1,-1,-1,-1,-1,115846,120456,-1,-1,399376,424283,-1,-1,-1,-1,-1,53733,-1,-1,225669,-1,-1,-1,377501,-1,-1,-1,808450,-1,309508,-1,258077,-1,-1,-1,488677,606989,-1,660781,-1,-1,241209,-1,-1,120729,-1,339345,516573,746499,512359,902031,359360,-1,381004,-1,-1,-1,-1,817248,-1,506179,772215,-1,312272,298493,419236,-1,-1,509684,-1,-1,-1,-1,948771,-1,-1,576812,-1,-1,782313,-1,-1,-1,-1,-1,-1,-1,166753,691624,86262,572412,-1,932445,432084,-1,845249,15724,120740,-1,134364,271776,-1,-1,-1,-1,-1,-1,596954,376118,-1,-1,987228,698575,-1,-1,-1,-1,194250,-1,566815,-1,290905,-1,-1,951594,-1,157211,588605,-1,-1,871290,-1,-1,856267,150907,814522,228668,-1,693358,131988,897567,461919,876065,-1,963775,28620,659448,44698,947171,-1,-1,199207,-1,37432,590128,652741,-1,773532,-1,466384,-1,854547,391366,291667,953601,-1,-1,160459,295766,231269,-1,636545,-1,173847,225331,292529,915441,222140,351512,-1,-1,659350,-1,360452,700163,595721,253366,-1,813599,560590,-1,746855,363672,-1,636500,31520,241971,-1,-1,302785,-1,925620,661541,515161,-1,502755,354636,78706,-1,406186,-1,-1,576052,-1,172773,-1,-1,411530,-1,-1,434165,163446,-1,941655,219959,-1,793635,240203,-1,600219,-1,604680,140095,-1,-1,665693,-1,-1,299724,-1,897185,485638,434278,-1,-1,-1,992680,-1,743228,271279,-1,-1,-1,-1,-1,-1,541075,49561,-1,734243,-1,-1,131940,628597,640750,-1,-1,-1,269435,207460,107530,-1,710977,-1,-1,-1,-1,17824,-1,-1,-1,626237,686210,-1,517594,-1,-1,-1,-1,367416,-1,-1,738341,211660,-1,-1,146281,-1,490520,388811,-1,569340,-1,189766,87594,-1,-1,484268,569852,-1,642044,654664,-1,921917,14424,743014,-1,-1,-1,394982,915414,-1,-1,-1,380552,513934,623441,-1,-1,-1,16080,432622,110583,-1,939017,-1,101507,87517,22018,713168,788312,665269,752370,571219,-1,-1,480517,85677,-1,316263,-1,-1,-1,182719,-1,132194,525353,926507,861705,-1,659144,524356,614552,542681,618666,669725,197161,-1,-1,-1,841774,-1,432725,-1,387284,-1,-1,860255,367092,-1,15491,864956,271847,-1,-1,67108,955266,908764,-1,908192,633256,-1,793208,642260,983477,-1,931455,252931,277090,479432,-1,102567,918803,-1,512488,-1,-1,-1,966023,798144,487119,-1,416546,916916,-1,691662,-1,-1,449373,826785,233747,973721,-1,-1,-1,725823,-1,-1,546060,251178,-1,816710,-1,366166,461072,-1,-1,267275,864737,-1,-1,-1,-1,-1,-1,-1,760258,964254,457205,-1,-1,218391,953620,82696,-1,416825,-1,899754,474256,-1,-1,-1,487938,-1,142827,911086,-1,-1,-1,291883,-1,658209,416946,152326,-1,-1,23029,-1,-1,-1,-1,-1,-1,835100,-1,-1,-1,-1,-1,209742,197358,-1,-1,-1,375165,90302,640305,-1,-1,338084,706542,158737,11227,-1,244046,-1,714802,-1,-1,25667,-1,239760,221647,-1,653075,-1,524950,-1,-1,-1,632880,-1,-1,412061,-1,-1,835860,580387,-1,767942,-1,-1,-1,-1,-1,337577,747121,-1,-1,-1,256136,-1,-1,-1,772039,-1,307681,-1,486265,896034,752992,12625,-1,224857,956527,575498,-1,70391,-1,964610,305532,-1,543060,-1,-1,-1,-1,505843,156400,239893,-1,591956,542498,-1,-1,-1,492380,-1,581216,-1,919170,768572,-1,696180,601183,292021,12494,976018,529489,177584,-1,-1,677388,424025,52810,-1,264087,-1,-1,-1,447018,703820,-1,-1,731331,352861,926275,-1,535326,-1,977877,-1,935745,195469,-1,-1,-1,-1,-1,288567,723972,-1,18945,978922,661784,-1,-1,469924,671361,504543,997012,324519,-1,598279,251358,-1,180939,-1,-1,918628,-1,303497,470550,979646,-1,720676,-1,649380,712352,481654,-1,-1,-1,170885,-1,158270,-1,-1,-1,232768,-1,-1,871060,638118,905256,-1,-1,706506,869443,-1,16223,377080,-1,-1,111764,876628,235684,-1,-1,176024,139481,-1,790598,-1,790684,-1,134596,-1,175707,584179,-1,836903,667609,165813,305783,-1,-1,502092,534454,256737,980913,-1,290151,665827,53806,582366,633544,-1,-1,78400,907466,-1,-1,986499,645261,50278,503544,141777,-1,-1,-1,-1,627448,-1,-1,313459,342732,-1,-1,788051,-1,-1,-1,-1,182292,853867,292902,76969,430798,581877,-1,763214,311086,-1,577699,-1,344114,472456,523625,991392,-1,-1,624803,-1,331489,505620,472980,-1,-1,-1,-1,4761,857927,340954,-1,129837,-1,102046,658346,-1,857804,-1,-1,-1,-1,884701,-1,-1,-1,-1,365620,764855,196668,-1,461988,869578,635281,86346,226310,519657,151442,108558,369034,837326,-1,-1,-1,-1,-1,808880,-1,-1,435436,-1,-1,336623,200027,588708,-1,510925,-1,291045,-1,356389,498972,-1,73103,-1,-1,928345,973595,-1,-1,800060,373273,244536,985227,783490,929946,-1,269316,-1,94799,438627,234175,-1,-1,732443,-1,349261,110839,672450,-1,-1,791508,-1,680899,-1,185845,683692,-1,394571,-1,836388,-1,381075,-1,746506,476716,298590,-1,-1,263134,333705,857321,120371,966357,-1,880023,787395,-1,-1,-1,-1,952770,-1,996480,-1,174319,-1,122392,892268,-1,-1,-1,-1,-1,951345,-1,795718,196037,-1,524121,904944,-1,539366,353549,847085,-1,14023,351297,-1,-1,-1,657308,-1,-1,-1,36396,991269,-1,-1,-1,-1,408651,-1,-1,826654,-1,836533,-1,-1,-1,297432,-1,321021,-1,-1,-1,568915,356229,-1,650990,-1,40378,-1,853929,482326,-1,233029,2362,658795,-1,-1,-1,-1,-1,-1,-1,725530,524153,-1,-1,-1,-1,622503,-1,-1,336492,-1,936243,842128,479730,821758,374118,351061,138313,31448,-1,-1,-1,-1,-1,-1,-1,511377,-1,-1,190360,-1,332437,-1,-1,-1,127717,-1,685590,-1,-1,-1,765915,-1,441135,40050,-1,-1,161803,252315,-1,84914,-1,907840,334804,791676,337852,568540,-1,-1,801537,-1,805882,765279,343440,-1,498364,252329,-1,601594,769259,214640,457760,-1,426103,-1,15785,-1,253075,-1,-1,-1,-1,472807,828090,-1,-1,627811,-1,-1,302377,82831,857326,-1,871817,74417,-1,-1,-1,849738,-1,-1,-1,-1,292724,835401,196619,-1,-1,-1,276431,415600,592232,595740,-1,824201,20022,730864,-1,406210,170401,-1,-1,886764,263082,711062,593927,-1,683151,-1,952447,104923,-1,517851,-1,100173,-1,38701,-1,721625,-1,663381,412122,-1,-1,928346,-1,-1,605932,-1,653979,-1,827224,21878,814530,165871,472940,-1,-1,222701,796779,-1,960842,827838,-1,-1,890165,143941,-1,221937,-1,-1,698115,254436,-1,309262,159441,-1,704762,88915,65679,-1,262738,-1,930252,-1,-1,644209,953501,552198,-1,-1,-1,-1,824871,-1,-1,327328,251417,-1,677843,-1,286597,-1,675559,-1,-1,928467,-1,158291,-1,-1,-1,132693,172639,-1,591170,-1,151643,-1,659152,281471,972042,905733,-1,18853,-1,525751,414310,362343,134847,697761,14323,-1,620242,895517,119338,-1,530955,-1,334927,-1,-1,781259,-1,811432,-1,413048,-1,-1,-1,-1,947537,451143,-1,589483,-1,643261,-1,138890,798933,480092,-1,-1,-1,-1,-1,-1,738473,676122,-1,726571,895159,997634,662259,-1,-1,-1,258091,-1,833009,-1,-1,950770,-1,132926,-1,-1,-1,-1,836551,104620,-1,974948,-1,849588,-1,-1,485295,263594,509342,-1,-1,-1,-1,-1,630724,272440,-1,-1,-1,-1,318878,-1,-1,-1,480357,-1,423652,682660,34275,-1,105206,316033,853933,-1,998282,-1,436909,522487,699919,447319,-1,295193,-1,-1,-1,-1,442821,203932,-1,612834,-1,-1,511324,523295,955605,189388,-1,491431,566108,-1,-1,-1,68904,334750,-1,-1,619559,310744,346564,-1,-1,-1,-1,216998,-1,668795,448270,520228,-1,448979,676386,646378,397861,46422,-1,-1,572877,141625,17789,-1,364440,-1,-1,754455,753662,-1,-1,168961,-1,-1,-1,766093,625156,-1,-1,-1,-1,-1,44283,271367,-1,233015,508680,463261,-1,301023,-1,-1,507582,-1,-1,-1,-1,506297,110816,-1,-1,-1,-1,102153,-1,-1,878760,-1,683106,825732,-1,-1,41038,-1,703260,334771,159971,479943,25015,939362,-1,-1,622931,-1,499774,583468,-1,-1,139435,-1,-1,-1,289896,799863,-1,-1,882068,651172,-1,944720,-1,-1,744640,662421,-1,542762,-1,-1,-1,-1,-1,-1,-1,-1,-1,912255,-1,-1,403451,740373,-1,6383,-1,-1,-1,86202,-1,648998,376334,703368,-1,-1,217100,-1,514589,414304,54520,520867,-1,474903,-1,933643,-1,16172,239453,-1,308636,92540,949279,445619,-1,259611,-1,-1,-1,-1,587923,116530,678860,132512,-1,-1,-1,-1,-1,-1,551689,-1,951396,-1,67275,133422,-1,-1,499029,381039,-1,-1,-1,-1,-1,838647,-1,25081,930945,536210,693705,184792,960525,313890,234135,-1,410242,507664,109240,-1,-1,469722,747191,34360,955925,527952,258573,773112,814446,-1,-1,477371,-1,-1,-1,-1,-1,-1,180015,-1,-1,94862,736922,-1,174527,-1,884261,-1,-1,705312,950651,-1,862621,397025,-1,-1,-1,305150,-1,922201,547216,-1,84697,-1,-1,-1,799657,-1,-1,939455,-1,436724,790178,280020,78360,87040,110384,-1,332624,804960,720405,-1,-1,274605,-1,-1,-1,703273,-1,193147,-1,-1,-1,-1,415159,204676,-1,-1,249085,515805,-1,-1,870400,846303,-1,735459,362839,859782,355680,569542,930043,-1,-1,-1,696952,-1,-1,30113,-1,-1,752510,-1,-1,88900,304928,184877,-1,678315,-1,850415,-1,-1,320322,20762,782814,530509,468768,229916,-1,-1,994454,-1,-1,-1,750450,410724,889600,352089,951221,527161,-1,-1,-1,-1,878321,244386,428044,-1,546650,-1,-1,126754,296323,303838,186928,-1,383762,309091,583085,494694,-1,140839,401970,-1,271027,-1,403814,-1,-1,900150,-1,-1,592992,-1,464750,328415,743368,-1,164030,-1,638359,624418,108971,800257,-1,341937,-1,-1,-1,577065,334226,917648,432627,492163,-1,-1,-1,-1,-1,856277,-1,-1,-1,11914,-1,693975,-1,756457,-1,-1,-1,940490,-1,284244,-1,604396,-1,85229,574025,394065,795710,393409,28818,7038,-1,-1,-1,-1,805949,-1,47236,562386,189622,-1,432734,449766,-1,564044,835200,-1,340563,-1,140400,-1,374107,697606,485057,647575,347501,-1,536114,738208,-1,490826,510362,-1,602815,774187,-1,749936,-1,958418,365560,763537,135287,-1,-1,525061,742979,349880,194962,-1,-1,-1,67464,648366,-1,-1,-1,-1,118245,618677,869767,-1,-1,-1,-1,49307,-1,672931,-1,683209,896743,-1,-1,971745,-1,-1,-1,-1,229954,295775,-1,888175,661839,-1,-1,-1,-1,-1,575658,677355,-1,-1,907688,-1,842947,330636,-1,414699,-1,59198,-1,-1,-1,991780,812444,547655,314545,-1,43322,25040,270896,-1,-1,-1,-1,461723,886551,-1,734364,-1,164145,381153,320309,996764,-1,894760,299471,653523,376927,-1,-1,746609,-1,525685,-1,420810,769449,-1,533091,-1,315083,300061,-1,-1,-1,117066,-1,765149,524891,-1,-1,-1,-1,-1,738810,-1,245734,-1,-1,751526,807166,-1,549961,-1,526396,376045,-1,806472,551018,-1,-1,-1,-1,-1,827914,-1,304910,-1,-1,-1,-1,-1,974278,-1,-1,127362,-1,-1,322306,206545,-1,386786,173884,600044,26676,726385,868843,-1,-1,-1,921697,246538,-1,856130,695984,952969,-1,463011,683186,624683,857050,-1,-1,989775,293285,-1,-1,633080,357307,-1,-1,-1,376770,-1,-1,664363,-1,21706,225984,498070,423797,878097,426706,-1,477926,691043,-1,611359,-1,176987,-1,908397,923702,465114,-1,796875,876957,774615,-1,-1,343667,-1,212865,442117,128285,-1,-1,-1,757564,34046,-1,31045,427976,-1,-1,-1,608981,-1,255075,-1,335186,655301,-1,668114,754752,171763,239370,96246,832469,-1,-1,55812,-1,694260,-1,-1,299096,-1,413275,-1,-1,63365,563303,-1,896360,-1,298276,911863,860389,-1,675283,-1,-1,881673,411321,-1,249872,-1,359494,416753,152488,-1,-1,-1,65009,-1,530148,740466,848571,-1,636664,-1,121335,989974,881752,-1,-1,155236,-1,-1,193771,928126,213648,267419,943637,-1,446882,-1,320734,650975,-1,18387,187164,-1,-1,799046,812089,77661,-1,515867,-1,807888,-1,85222,-1,380445,38497,472555,-1,223258,-1,321149,-1,613737,-1,481642,128412,333484,962866,134658,-1,-1,-1,923559,779220,-1,647532,678439,-1,205295,865231,-1,-1,887332,344268,14460,493077,-1,-1,847118,276930,-1,750666,873191,198629,765625,287646,-1,434299,-1,907626,266660,-1,107405,790861,163832,-1,311855,-1,-1,-1,132103,757588,1179,735028,747871,-1,-1,611022,-1,498852,-1,361004,754718,-1,-1,-1,970331,151172,56133,457044,693030,791682,-1,-1,466691,24959,-1,213578,959277,468053,-1,398092,922400,951175,312041,863317,-1,-1,130704,586764,-1,363501,432855,-1,29148,-1,-1,636883,-1,850771,-1,18063,-1,-1,240660,658679,-1,987726,834442,-1,119931,934055,142931,-1,303898,-1,77536,-1,956490,-1,-1,-1,-1,-1,529226,536984,-1,215082,-1,-1,-1,-1,-1,-1,948504,-1,-1,962284,140563,-1,-1,-1,756352,-1,-1,638404,-1,422010,-1,-1,542928,-1,355370,536708,-1,306120,272605,-1,-1,-1,330031,788621,763354,286390,978805,-1,-1,-1,469272,68004,-1,-1,62957,653902,535900,-1,-1,315674,-1,95428,-1,-1,812396,772794,939664,836474,-1,-1,935475,-1,-1,-1,-1,-1,-1,426268,-1,108175,-1,762884,736307,-1,983031,230316,939978,-1,867085,-1,-1,-1,-1,443086,838303,-1,-1,514733,-1,404792,-1,-1,201844,973867,696262,622917,779354,-1,280953,223436,611565,914288,-1,126837,913430,448264,-1,352149,149383,677801,762916,-1,-1,-1,61354,-1,628904,-1,486653,576402,3638,-1,886366,-1,-1,-1,-1,203,319575,497112,-1,-1,-1,-1,-1,-1,697948,-1,152616,-1,-1,325175,-1,-1,-1,286258,597107,787443,401736,664168,-1,-1,562720,661140,-1,786049,-1,204293,-1,813291,-1,-1,322176,260894,171881,427563,517345,965281,-1,-1,106596,230599,652959,947244,-1,261438,79463,720061,-1,-1,183794,-1,525139,-1,261841,-1,-1,747578,235900,95773,135338,668849,-1,502050,863162,883107,422509,805403,-1,-1,643337,-1,-1,-1,-1,-1,-1,-1,688072,470875,477024,843117,-1,895642,997709,98641,-1,615325,317849,-1,300,-1,-1,359782,635388,127664,-1,423182,856582,-1,488461,-1,936246,-1,860867,531993,-1,-1,630267,-1,152148,580849,894957,72368,279469,-1,-1,407766,-1,-1,-1,-1,-1,-1,357065,849640,-1,285978,-1,-1,831659,-1,49560,-1,822271,-1,-1,44488,-1,138700,478551,400095,-1,-1,-1,441406,532260,450289,-1,770539,-1,735784,-1,739505,-1,914265,-1,976600,-1,-1,-1,559306,-1,120226,344117,640792,11685,39334,679334,-1,-1,-1,787581,955105,556247,369823,-1,949629,-1,-1,-1,-1,-1,-1,-1,-1,344316,109373,-1,-1,180964,-1,-1,-1,152052,-1,923593,217370,147128,259054,-1,-1,-1,515587,-1,175042,152795,748482,14573,-1,-1,-1,673341,265519,833114,-1,-1,-1,536131,-1,989595,-1,20606,21496,190391,594791,150779,-1,474066,51722,153933,-1,-1,629797,-1,-1,333363,910202,660651,-1,658811,-1,839959,-1,-1,-1,604623,54979,-1,-1,-1,550133,-1,744644,-1,164196,-1,861561,-1,-1,717554,122580,-1,984149,393891,-1,-1,766611,630504,548077,-1,-1,-1,-1,-1,-1,958529,-1,-1,-1,-1,-1,-1,-1,740754,-1,124355,457209,-1,650917,-1,-1,-1,-1,-1,83078,-1,-1,203029,-1,-1,-1,-1,156539,-1,205128,85096,-1,555279,267612,724715,100038,18014,-1,-1,-1,459441,127049,914308,247748,188781,-1,449626,731530,-1,820823,260634,163198,460340,-1,-1,796705,904887,-1,-1,773997,-1,784955,621431,-1,228995,44818,606404,136141,-1,-1,-1,-1,-1,-1,59399,-1,-1,-1,24915,-1,135018,405632,550585,-1,804376,616414,-1,-1,-1,-1,104512,546843,876377,-1,315168,796434,115329,-1,934519,-1,518404,216790,125364,729995,-1,-1,326252,459892,16026,-1,78436,338223,-1,981010,186519,-1,-1,551552,-1,-1,-1,-1,865678,-1,418970,-1,751636,-1,113882,615423,-1,313439,429170,606543,780224,773384,180758,-1,69781,966003,76437,-1,625578,869402,-1,-1,-1,307669,-1,-1,360265,716459,707177,-1,-1,-1,-1,121349,-1,364028,-1,-1,-1,-1,-1,-1,-1,896908,-1,-1,-1,677370,261895,148008,199364,996262,486001,881195,-1,-1,469633,883219,-1,-1,-1,-1,-1,867106,-1,-1,41,-1,-1,608181,-1,741136,36283,933207,406441,694740,554572,252847,651350,770922,714966,-1,657999,486970,4708,871526,404411,-1,-1,-1,-1,854085,246907,-1,776467,96918,892797,-1,-1,695262,-1,817830,-1,-1,-1,9894,989522,780803,-1,-1,-1,-1,-1,-1,-1,381392,-1,127401,-1,403072,-1,-1,527960,95143,138188,-1,-1,-1,-1,-1,628580,157942,-1,456026,209864,-1,232244,-1,-1,-1,-1,671539,-1,479146,-1,195319,-1,-1,-1,984832,-1,-1,52665,368146,525055,-1,-1,249630,826671,-1,-1,-1,371269,-1,-1,-1,444408,-1,987047,6777,-1,250293,-1,44499,-1,204122,-1,-1,713807,174605,305713,-1,-1,-1,-1,140479,-1,-1,-1,51525,-1,168703,824677,583012,244739,-1,-1,631779,-1,-1,447218,-1,-1,-1,-1,-1,-1,-1,-1,-1,970510,382549,-1,724274,-1,438548,-1,-1,-1,-1,684653,139341,-1,-1,382986,118970,873355,-1,283775,-1,789777,461776,-1,760555,-1,680582,597375,-1,327818,-1,250588,-1,-1,-1,167317,468509,870615,-1,850143,-1,314691,645458,-1,56732,-1,-1,-1,-1,-1,976231,53585,12691,-1,-1,-1,957871,-1,-1,-1,-1,-1,-1,566300,62392,-1,-1,307230,241087,-1,-1,131464,-1,-1,286963,21766,331812,-1,685575,-1,354354,-1,-1,1675,-1,878568,-1,-1,997278,413662,-1,679988,-1,-1,522983,-1,-1,265661,-1,-1,-1,520232,-1,115652,-1,-1,318934,-1,-1,345833,199179,-1,-1,-1,631313,-1,-1,422373,580386,936718,518308,93889,-1,-1,650394,915060,-1,558419,-1,-1,254967,-1,770930,373951,276355,-1,-1,-1,821977,-1,-1,183254,732178,-1,952994,593751,982568,-1,-1,-1,407256,507467,33029,666715,499473,490671,726562,472931,256298,594411,76587,-1,-1,85055,-1,-1,824719,335981,-1,961291,-1,-1,957792,-1,-1,-1,-1,367188,72304,-1,-1,-1,979541,-1,-1,-1,-1,-1,634859,-1,-1,-1,-1,194077,-1,717948,-1,-1,381237,-1,-1,-1,129815,-1,978794,-1,-1,653452,234704,-1,387479,32820,-1,-1,668774,705733,575649,-1,643570,-1,-1,-1,-1,464736,391272,-1,563888,-1,548961,-1,379970,-1,120599,-1,-1,126319,503971,62014,105545,-1,444314,-1,741582,426948,420144,539801,-1,-1,148945,-1,676131,-1,-1,448580,-1,-1,-1,871448,992566,595440,2316,568651,-1,13354,-1,346687,435563,-1,962564,-1,-1,-1,-1,314511,-1,-1,22431,-1,371108,497909,-1,512756,658087,-1,-1,-1,469879,-1,-1,982152,-1,347015,426625,431731,314617,771505,315468,-1,797767,-1,-1,939602,482984,849863,-1,671214,-1,14849,-1,222282,667842,60556,-1,-1,-1,-1,-1,-1,-1,407277,543635,-1,509142,-1,240129,-1,292138,-1,183550,673369,-1,702454,675532,-1,436164,504128,105877,348972,-1,-1,164709,284464,-1,-1,-1,-1,-1,-1,-1,317732,-1,520919,-1,-1,-1,636348,94834,218401,-1,822806,-1,-1,202640,-1,537618,582458,-1,374540,-1,808052,-1,23258,-1,773032,-1,-1,455478,674477,-1,-1,496902,915717,-1,-1,206609,609055,428942,205227,816339,-1,714620,676307,389436,-1,-1,951051,-1,905854,301898,-1,381924,779116,-1,219385,689193,642073,-1,458485,435141,-1,200170,651855,657403,-1,-1,-1,-1,959921,-1,-1,-1,352989,-1,-1,-1,670545,392057,565694,876300,-1,-1,-1,-1,186177,49831,411680,95931,193913,-1,204193,343737,467663,-1,-1,985500,-1,447911,120851,-1,388599,-1,900486,-1,-1,-1,-1,-1,304563,462593,-1,842414,-1,931313,-1,932198,-1,-1,404602,-1,133068,828334,-1,14663,-1,829586,926361,929638,878116,-1,-1,708302,388826,-1,-1,499804,-1,-1,124134,-1,-1,-1,802206,173964,447141,298908,381357,709157,-1,-1,75666,-1,-1,381041,-1,831478,-1,-1,286779,785460,-1,536899,563152,542393,-1,-1,-1,984351,269836,377306,420588,-1,309276,583133,67981,-1,-1,-1,333802,128170,624222,-1,248030,452793,534714,78003,-1,389266,94090,-1,919343,-1,388310,-1,-1,384469,890806,530805,383080,557870,-1,-1,712271,-1,-1,761382,-1,-1,-1,261545,-1,-1,-1,-1,-1,-1,-1,392745,-1,906696,-1,-1,91677,304804,-1,481301,-1,-1,-1,575506,-1,-1,449385,653449,-1,428989,944784,-1,-1,312772,911044,-1,927980,-1,15506,-1,82359,-1,461517,-1,564187,-1,-1,487157,475290,976281,-1,-1,-1,966634,272247,-1,786041,-1,-1,-1,297033,-1,-1,-1,-1,27026,569710,827904,-1,-1,820395,732693,-1,692732,-1,463190,-1,14125,-1,-1,-1,-1,-1,-1,29369,781819,88940,-1,491056,198101,-1,609899,391557,182505,205424,-1,9711,-1,-1,-1,-1,295007,-1,550360,103347,-1,-1,-1,584597,164010,-1,-1,-1,-1,415604,-1,-1,134270,30531,655310,761596,-1,138113,-1,183156,15907,855059,-1,864722,-1,186011,438511,-1,151350,904112,-1,-1,-1,-1,-1,-1,-1,-1,-1,464834,335926,612607,-1,-1,982325,-1,-1,374801,-1,-1,370415,-1,-1,945542,611666,-1,-1,-1,-1,696753,-1,405032,598327,-1,744074,-1,-1,-1,95222,82090,-1,-1,-1,-1,99864,-1,-1,-1,898272,318008,933700,-1,-1,819115,-1,-1,-1,-1,-1,-1,-1,11047,883493,799237,596907,865128,448336,-1,566265,-1,186261,890036,753350,460537,596321,-1,-1,881834,-1,-1,-1,-1,-1,-1,-1,-1,-1,857851,-1,-1,626770,479002,847142,-1,684698,-1,549505,206913,206936,-1,79352,838924,-1,591829,633961,29082,-1,808991,62174,-1,754648,17960,-1,331657,986128,-1,619725,602170,167490,-1,357041,910435,-1,903598,-1,-1,-1,-1,-1,-1,-1,666787,-1,469380,157526,-1,839043,384661,-1,556430,-1,-1,17377,958499,264744,519544,38346,-1,618275,500790,156353,802688,-1,485447,-1,-1,604049,73153,-1,874933,-1,206585,-1,198475,-1,405496,-1,-1,846986,-1,373048,-1,546700,735016,423754,-1,-1,-1,964149,77122,444208,-1,-1,-1,463551,865152,-1,-1,-1,845918,-1,-1,750506,-1,-1,12768,-1,518235,-1,-1,256799,689213,161412,-1,-1,-1,-1,95724,339013,-1,-1,-1,92389,-1,-1,-1,-1,-1,-1,326203,246075,222565,-1,-1,972824,304122,170282,-1,173643,527441,-1,920773,896114,245797,-1,-1,-1,-1,209516,913741,399402,-1,573259,764620,-1,439326,-1,-1,827637,239925,611576,-1,359495,279124,-1,-1,356398,-1,-1,985219,305016,-1,-1,-1,252137,883002,-1,-1,180036,148904,348598,-1,-1,-1,-1,342484,961923,-1,332903,442031,-1,91864,369766,-1,-1,-1,260479,-1,414462,871811,-1,-1,345736,-1,-1,-1,-1,-1,336776,-1,-1,238533,750485,670001,45477,-1,13137,390398,-1,416869,-1,-1,-1,-1,432916,529584,576463,944644,855135,-1,-1,94632,-1,-1,-1,549086,83048,-1,247847,87306,739248,-1,53936,169295,-1,638290,-1,668125,-1,-1,-1,847514,834653,-1,568701,-1,-1,562900,-1,292826,-1,870651,-1,878356,-1,916986,-1,744070,-1,338417,-1,585157,-1,875148,915604,-1,873708,-1,902844,-1,-1,-1,579928,506286,-1,119770,42010,-1,-1,4550,-1,768137,297338,10872,-1,757016,987315,607026,828482,-1,575037,277172,375409,-1,809532,88585,960264,-1,639563,19701,813279,-1,-1,943229,-1,-1,-1,-1,647857,270462,-1,882597,740561,-1,108728,-1,336485,-1,-1,-1,-1,627573,810694,918957,572153,124688,-1,688263,410613,-1,314927,-1,-1,702775,529336,487829,182056,185598,-1,-1,-1,-1,-1,-1,415530,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,992618,-1,-1,-1,-1,665207,23477,265591,888008,-1,-1,-1,-1,-1,-1,-1,165255,812332,220238,328787,-1,-1,416404,-1,174764,58038,-1,-1,314192,979805,-1,280974,1117,605523,773688,236777,-1,-1,-1,894501,274185,507438,360480,318119,271599,106422,-1,-1,376458,-1,735512,170616,608396,650196,814878,-1,56245,449219,-1,233844,-1,260195,-1,547819,-1,66342,-1,-1,343875,-1,-1,230203,-1,-1,761098,-1,-1,-1,152906,753962,-1,-1,158003,-1,434156,-1,383835,-1,-1,-1,688337,-1,-1,-1,990378,212975,562871,-1,-1,-1,-1,-1,727517,387604,-1,-1,-1,-1,638673,-1,123711,532656,-1,303584,377433,948472,800685,456615,152313,403389,-1,940284,-1,-1,-1,-1,-1,525313,581571,-1,737107,554961,-1,-1,-1,-1,288411,-1,-1,-1,694527,-1,-1,412430,85722,-1,-1,456057,875827,-1,356276,-1,890094,45390,-1,851008,620225,357533,-1,84158,-1,989092,979078,500385,243369,864603,315438,-1,120514,618765,296265,-1,-1,940997,-1,-1,-1,-1,787853,623485,270055,-1,-1,-1,51983,-1,-1,-1,-1,886373,958181,-1,-1,-1,-1,-1,-1,117832,382518,667415,545844,-1,613367,971440,482461,288780,-1,756145,-1,-1,654836,-1,827776,233159,142061,784279,-1,214137,245209,-1,-1,327372,280354,-1,28252,742231,812585,802317,925360,-1,-1,-1,818489,591048,726838,828947,-1,744480,-1,-1,24195,122621,-1,-1,-1,-1,-1,-1,25865,-1,196340,447999,983095,-1,-1,-1,574100,998537,728027,-1,-1,706061,-1,-1,-1,-1,-1,-1,306463,-1,-1,930545,16415,104280,721414,412083,-1,-1,-1,20379,61703,-1,3826,707868,-1,-1,-1,-1,-1,-1,-1,-1,270765,-1,76513,156527,320197,569968,662662,-1,200823,-1,-1,314849,521259,368853,10922,819300,168418,478105,-1,566768,-1,940862,-1,404057,242875,406280,80481,-1,280039,-1,-1,556889,-1,46672,32622,596164,829126,38220,386633,-1,401881,-1,606242,-1,-1,-1,-1,-1,-1,-1,-1,302007,728054,-1,13039,794329,-1,-1,-1,-1,-1,872279,-1,-1,-1,-1,-1,-1,-1,-1,467981,913860,188415,611306,685875,-1,-1,-1,-1,-1,-1,839143,-1,923676,7912,-1,909501,-1,92444,-1,-1,365275,679611,8808,603390,-1,470888,985802,-1,-1,-1,-1,170833,864194,-1,-1,-1,23366,-1,45631,156696,877135,663131,-1,763086,-1,802848,-1,-1,800225,-1,-1,789058,373927,183033,355752,-1,741085,-1,-1,14238,-1,135567,928861,-1,121963,-1,171471,74463,689931,352823,788132,470204,349502,255887,497437,-1,894834,769598,-1,167115,899954,765420,612628,-1,-1,816779,-1,42468,923104,828347,639644,196070,-1,988347,716626,-1,832818,322563,837083,519418,317846,-1,-1,701102,113551,-1,-1,165645,885774,497895,-1,-1,-1,147838,753236,-1,593761,587977,-1,893656,-1,-1,827846,-1,-1,-1,243838,-1,-1,-1,-1,-1,-1,-1,963574,469607,-1,-1,-1,-1,218553,-1,843541,-1,168722,969629,-1,-1,-1,-1,-1,-1,-1,938284,-1,564120,-1,881846,-1,-1,-1,-1,375171,-1,728475,590759,491073,-1,443912,458020,714881,199139,-1,-1,377183,871507,-1,422044,624611,670130,-1,88385,-1,-1,245350,454889,420351,658880,787595,-1,-1,780155,94722,-1,455277,86497,357080,-1,715940,762625,909420,116455,83926,-1,521777,-1,-1,-1,-1,34938,-1,-1,684008,487926,-1,-1,247700,-1,-1,-1,197901,934101,690034,-1,15592,832215,-1,-1,360129,11808,-1,-1,-1,945193,303319,-1,-1,503749,680337,-1,-1,946553,919502,-1,-1,-1,287876,808479,-1,67617,-1,-1,-1,334791,269404,-1,968741,-1,361543,601445,-1,378199,-1,-1,342286,464893,-1,-1,601287,191341,266143,606519,797369,-1,-1,174241,584012,-1,152118,623467,791982,-1,802507,-1,868123,97332,-1,-1,268419,358453,-1,-1,757932,910669,-1,358419,524,586372,592604,594258,649478,-1,55515,663910,-1,991663,794490,943189,-1,-1,-1,-1,-1,-1,740286,-1,-1,168157,909654,-1,551942,-1,213757,629271,805593,494422,196527,853380,91572,-1,-1,-1,-1,-1,-1,-1,434811,-1,651211,131208,-1,391384,20699,-1,28641,-1,126361,-1,552671,804832,286443,-1,-1,-1,758050,960426,-1,447120,78381,786673,-1,-1,-1,673589,558222,-1,-1,-1,141043,52821,140224,-1,-1,92966,-1,-1,-1,843009,909489,299578,991798,-1,482271,942558,-1,295547,-1,-1,-1,-1,913249,-1,-1,348957,383265,353513,-1,-1,552179,-1,-1,801324,-1,-1,270631,931178,-1,457861,-1,951579,273568,83397,842425,-1,-1,770634,-1,-1,813471,749583,-1,-1,530736,-1,9819,-1,-1,-1,671875,252336,-1,337397,153396,-1,718958,670071,931774,-1,-1,43744,-1,-1,-1,41928,-1,60088,437498,-1,984905,-1,-1,-1,977973,28266,812889,721767,724239,-1,478709,362531,-1,-1,600212,-1,642189,-1,377605,993671,-1,-1,-1,-1,456667,-1,-1,955755,-1,416439,-1,-1,412034,-1,770240,-1,-1,-1,-1,-1,964519,629839,476573,-1,-1,198873,913392,-1,207383,-1,788966,-1,870526,-1,201472,466884,513167,50930,710888,896630,132308,173314,178260,648310,-1,564322,456424,300355,-1,-1,644009,880392,790334,-1,-1,-1,881429,-1,-1,-1,-1,962131,-1,151929,766028,222998,511538,-1,-1,-1,-1,654384,-1,741981,-1,126854,-1,-1,568479,-1,-1,-1,755596,-1,-1,503117,668653,674628,73230,-1,886299,-1,761824,-1,-1,771291,-1,231095,-1,-1,-1,914681,700047,969272,-1,-1,-1,770139,-1,744597,269876,-1,723003,-1,-1,565697,769149,658266,-1,-1,-1,107967,272142,661733,-1,505716,-1,-1,362814,56969,-1,310179,252076,350814,-1,29219,777468,-1,-1,-1,-1,-1,-1,705764,-1,-1,62749,765774,292133,-1,-1,-1,356043,939860,-1,-1,-1,-1,722540,364124,-1,-1,825534,-1,247304,473029,972641,912406,433244,-1,457203,766701,-1,977844,-1,-1,971790,-1,-1,97929,789330,938440,-1,-1,675796,276574,961367,-1,969827,-1,-1,-1,-1,-1,943265,706480,-1,-1,-1,-1,962135,-1,-1,-1,-1,587686,17688,-1,-1,53530,-1,891108,389801,-1,166201,120009,149843,-1,-1,979834,-1,-1,-1,566610,387801,-1,-1,691349,-1,432329,-1,26800,-1,-1,-1,-1,54817,-1,500649,544516,439837,154230,747398,629881,-1,-1,629285,821627,-1,577449,198419,285394,166301,-1,509239,-1,563160,-1,-1,865009,-1,423693,9646,83086,-1,399131,971835,288721,-1,-1,-1,-1,-1,979785,513214,-1,-1,296498,961850,-1,3835,-1,-1,-1,-1,-1,-1,-1,110177,834852,600432,-1,-1,-1,476657,126485,-1,-1,318449,-1,-1,934424,-1,-1,369399,173718,-1,48187,420871,709489,953949,-1,832236,-1,727933,495049,-1,201598,930324,320026,-1,-1,-1,-1,-1,-1,952469,-1,298438,322945,-1,-1,-1,656755,-1,-1,-1,553385,-1,817012,-1,113911,-1,-1,-1,-1,911934,772831,-1,726498,-1,-1,-1,-1,510968,990704,847870,53085,196571,-1,999404,569065,149882,-1,-1,-1,86484,-1,-1,-1,263408,842589,-1,858280,111518,-1,-1,-1,153194,-1,-1,-1,470034,16688,-1,-1,-1,-1,878578,331922,480373,19569,-1,171510,-1,-1,-1,619207,-1,-1,-1,386820,704871,-1,161900,404517,-1,794591,-1,97139,513904,-1,-1,-1,-1,-1,-1,-1,-1,324954,-1,-1,-1,-1,281252,351998,540402,-1,227975,87903,717079,349931,-1,-1,-1,-1,251546,-1,-1,393103,433166,-1,172146,585935,582666,173285,-1,606038,866128,932095,891030,-1,853734,-1,-1,-1,-1,-1,-1,588170,380455,-1,-1,-1,-1,-1,-1,884382,-1,-1,16031,923876,538810,689600,170069,211356,641618,-1,197314,-1,-1,724980,-1,-1,-1,403123,786539,312166,-1,-1,298641,-1,-1,784296,-1,-1,546549,-1,-1,-1,-1,39177,-1,276237,938152,-1,86524,127040,637646,660050,-1,-1,436527,-1,-1,787634,839860,51616,395065,638170,447904,-1,159063,-1,-1,578331,-1,298749,823216,736244,403414,923267,421683,510632,444354,164256,-1,649618,533521,392527,52231,-1,-1,-1,-1,333176,185714,-1,-1,-1,509706,347348,-1,331049,-1,649357,788309,263640,660602,740319,-1,914671,-1,-1,265491,289779,473471,676273,-1,-1,-1,411269,450844,-1,823469,275978,-1,77372,-1,691953,-1,274406,-1,-1,300006,-1,-1,-1,-1,387287,167593,-1,571025,811883,183144,544949,-1,932885,652137,377820,550814,-1,608105,-1,383747,459323,-1,-1,-1,580543,-1,-1,-1,688387,239225,-1,282823,503335,256811,972198,608357,172473,-1,-1,819802,-1,-1,428026,750850,340752,-1,858235,-1,554209,365423,185166,-1,-1,-1,617211,-1,752961,350812,468293,862160,-1,-1,747046,-1,-1,819458,699682,942412,-1,522396,-1,-1,185463,-1,536200,-1,-1,48836,973077,-1,-1,667860,426346,679013,-1,-1,257784,548154,-1,852508,-1,134131,-1,-1,-1,151630,433679,98957,-1,-1,-1,-1,-1,605703,298786,851452,402696,-1,350325,-1,220528,-1,-1,-1,-1,243462,985359,337482,18109,-1,724500,-1,-1,200650,491813,39650,-1,222265,724574,-1,-1,-1,119012,178937,402200,364116,-1,966019,594571,-1,46197,-1,738268,155412,-1,-1,24106,839802,-1,365179,829220,-1,-1,373069,-1,-1,-1,696154,37735,-1,-1,-1,-1,-1,-1,371680,615397,539664,444152,-1,-1,-1,233736,285456,778057,821388,717052,253076,-1,90595,828364,238645,-1,526200,844629,96511,379725,75171,489150,926727,336590,-1,273391,534337,257321,-1,-1,592423,667950,-1,894895,-1,499563,557792,320667,-1,-1,-1,-1,35293,-1,-1,370727,-1,199078,481007,357879,554267,12836,758626,-1,-1,443512,-1,-1,-1,901897,728639,-1,-1,-1,-1,-1,-1,654167,-1,-1,112355,-1,-1,-1,890753,-1,741860,-1,-1,-1,-1,821541,-1,-1,-1,-1,-1,668715,309210,-1,-1,222753,59949,-1,913945,293579,-1,492428,713922,-1,-1,320582,753965,-1,403422,-1,-1,359059,-1,344548,-1,79582,962330,637374,-1,143924,-1,-1,-1,357981,157820,193658,-1,818482,435184,-1,-1,-1,379962,775776,-1,-1,-1,-1,-1,-1,-1,819153,626061,-1,-1,-1,846790,205185,-1,107841,-1,198776,-1,-1,-1,137845,403934,-1,594802,-1,-1,915149,461854,722381,162606,117624,-1,324056,270689,588190,-1,-1,312840,-1,-1,-1,190151,-1,509855,826946,214539,877196,447829,794601,-1,-1,-1,629815,-1,-1,-1,-1,806508,-1,-1,549413,-1,6176,-1,-1,-1,-1,626272,535892,144873,-1,179345,701408,943019,-1,-1,619807,404704,-1,266402,-1,308297,580121,-1,929992,649975,983495,306634,758778,-1,616688,-1,166826,698398,-1,999155,-1,800460,-1,632837,-1,104478,-1,-1,-1,-1,365815,294717,-1,54311,342372,681252,-1,457297,-1,-1,153502,851819,-1,905424,826399,149576,649473,705423,-1,609875,-1,-1,515438,335349,598176,-1,772577,-1,730383,123521,-1,-1,153131,39856,-1,600474,-1,647179,334395,-1,-1,-1,-1,-1,-1,804789,452652,-1,998123,-1,-1,-1,-1,-1,619480,-1,-1,904609,250082,994590,610421,141156,-1,864417,-1,503982,-1,-1,532581,-1,290715,450561,94492,-1,-1,352953,-1,859649,526254,-1,956519,971051,175744,-1,612274,-1,587296,293807,-1,265649,-1,-1,356232,990062,20228,-1,-1,660845,-1,498444,-1,304158,-1,75546,934397,258834,953927,-1,-1,-1,-1,449915,580359,-1,-1,-1,704905,219541,830892,-1,855009,254104,342270,267141,-1,-1,323246,278429,-1,-1,36272,-1,-1,914118,-1,-1,359689,549566,-1,-1,126625,77955,-1,553284,-1,287240,-1,-1,457075,726119,-1,523704,-1,933791,874357,-1,-1,-1,613204,872423,-1,-1,-1,281482,-1,-1,-1,-1,-1,-1,97798,803008,24922,176562,-1,-1,753428,-1,-1,252083,156341,27434,-1,-1,-1,-1,-1,140004,946876,-1,856272,-1,38367,471335,292389,-1,-1,-1,858850,899618,-1,907370,-1,-1,149017,230235,-1,-1,-1,-1,987692,318654,-1,762126,-1,786970,833948,51979,-1,-1,-1,-1,-1,799574,550763,-1,368721,861974,-1,-1,340084,-1,-1,-1,355235,825802,-1,355241,355133,781603,131125,264695,-1,-1,669489,144222,655706,-1,-1,548228,559607,816301,966240,816417,-1,-1,650685,-1,-1,170808,-1,135701,-1,108468,-1,598190,-1,173730,-1,616940,-1,466791,483433,-1,-1,-1,509839,-1,954117,471223,-1,557666,276530,535643,-1,-1,173974,-1,584059,-1,52695,516643,125777,990535,-1,583552,-1,134034,586021,371199,643214,765025,750487,179377,-1,-1,366736,487005,86237,-1,-1,-1,-1,-1,963489,-1,-1,-1,-1,-1,884645,138040,638525,-1,-1,479619,-1,399584,321038,408944,62424,-1,-1,58187,313053,460660,-1,-1,-1,-1,976846,-1,-1,1912,-1,-1,625017,-1,-1,-1,-1,835730,462554,-1,447843,434355,855025,-1,-1,-1,318660,373186,536090,-1,-1,-1,351844,129047,243787,-1,-1,839873,-1,-1,854965,317523,305773,-1,-1,-1,-1,782999,460146,-1,679748,-1,372616,266043,-1,-1,-1,204840,-1,57701,-1,145202,-1,411414,702135,793207,641727,-1,-1,-1,158417,440766,347155,117901,328371,867850,-1,281879,-1,-1,-1,-1,-1,792043,718315,-1,211012,94765,982259,-1,990632,412449,-1,-1,261957,694579,-1,-1,-1,-1,-1,-1,598864,619336,659193,-1,815087,-1,867101,217745,-1,-1,-1,25762,772114,-1,-1,-1,-1,583901,876564,-1,-1,381035,-1,-1,-1,702723,3830,27605,14214,109848,468330,-1,-1,-1,-1,706747,81154,861544,-1,-1,-1,456173,-1,-1,899157,-1,328379,-1,227214,632272,693156,544762,-1,-1,833019,-1,-1,533184,584462,653667,880940,587156,695087,257075,611094,396516,-1,-1,-1,-1,535548,373498,373309,620343,568634,-1,248615,-1,58931,-1,-1,-1,912935,-1,891069,-1,-1,723716,-1,695931,115663,-1,-1,-1,724891,924794,769980,-1,2801,913938,746339,-1,660232,933392,-1,-1,916412,383540,155790,-1,-1,347032,-1,760441,501779,520541,-1,-1,-1,980402,519673,569848,951364,-1,-1,108392,333608,767427,322370,-1,704406,555573,135273,379368,-1,-1,-1,-1,-1,-1,-1,452285,-1,-1,58406,-1,919495,-1,-1,850619,927935,239808,72212,-1,111885,346176,229990,-1,638447,54587,926557,108791,898124,-1,928900,116093,-1,82302,-1,495386,576930,634733,-1,-1,-1,-1,755400,-1,742315,-1,660601,787067,167449,581504,-1,825127,123018,963682,82807,459672,-1,-1,152214,-1,-1,-1,314331,-1,-1,-1,-1,226679,-1,279929,-1,-1,95697,-1,275490,5277,533320,-1,-1,856132,324131,-1,-1,959683,98947,-1,-1,811411,-1,177441,301988,631183,-1,-1,-1,118036,-1,-1,-1,-1,-1,-1,-1,136309,-1,-1,372860,-1,-1,165788,267773,784520,-1,-1,-1,801827,-1,820988,-1,105473,-1,-1,167521,891313,-1,558790,-1,-1,40488,773012,3971,-1,-1,131420,-1,595043,-1,590095,42601,325059,588685,345061,286719,-1,-1,578780,-1,667487,-1,806179,462100,-1,803315,324423,739082,453344,199569,-1,711059,-1,268059,-1,252674,-1,-1,-1,-1,975842,-1,-1,937259,-1,846096,-1,-1,-1,409627,-1,300095,-1,-1,772142,686975,844345,-1,470688,-1,23214,461838,230572,-1,-1,718255,433730,121049,236391,-1,540184,643903,-1,-1,481128,546418,969868,-1,-1,-1,359762,727232,328856,878124,-1,-1,698171,-1,-1,780126,-1,771009,206857,-1,46544,-1,-1,733630,364917,-1,848125,-1,-1,490986,-1,550505,-1,-1,247421,473130,-1,151164,734072,232459,-1,-1,-1,903006,540171,18607,450802,-1,-1,-1,184805,-1,-1,-1,-1,-1,-1,-1,-1,635697,476331,-1,-1,-1,285917,559866,111962,825452,-1,-1,583802,893125,731181,-1,494880,-1,-1,-1,110025,-1,-1,-1,27920,3406,-1,641016,-1,-1,-1,-1,162264,-1,482365,-1,520877,956222,-1,-1,415363,-1,184649,-1,-1,616024,-1,784993,-1,-1,942197,-1,125518,-1,-1,-1,-1,-1,879186,201727,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,310233,-1,824246,881830,-1,-1,-1,-1,487934,-1,935921,404875,243206,394159,-1,-1,761111,-1,-1,337679,-1,695947,-1,-1,749105,35185,-1,-1,-1,-1,685077,974491,-1,76144,464071,617859,-1,-1,-1,760918,973656,700255,-1,719014,-1,163945,805568,-1,-1,-1,765046,-1,-1,-1,341588,815637,-1,-1,241682,-1,248647,380627,65676,468986,324553,-1,988774,-1,-1,-1,416890,366137,-1,49588,817415,-1,-1,380801,805391,26887,-1,251422,656892,579548,926720,119529,110326,-1,232428,186791,262929,301115,-1,-1,996521,868280,-1,-1,734780,-1,430926,210850,662137,-1,-1,-1,-1,-1,-1,291407,-1,-1,-1,-1,186407,-1,29993,-1,846454,-1,-1,-1,-1,-1,460536,-1,934883,780015,818924,-1,556787,-1,189737,-1,621899,-1,694571,-1,-1,-1,716022,500572,366080,-1,-1,223956,284610,393461,20071,666384,-1,-1,-1,70394,-1,-1,-1,488614,-1,-1,834804,-1,-1,-1,969848,773711,-1,-1,794076,496024,-1,-1,-1,78518,-1,723769,-1,-1,-1,712764,373720,218059,230015,-1,907833,-1,-1,-1,159163,-1,126732,487314,-1,-1,185437,949929,-1,-1,893871,-1,-1,835432,767341,-1,-1,476912,-1,-1,213554,138742,286550,-1,728151,-1,-1,-1,756109,-1,-1,-1,-1,834162,279068,61990,30094,844164,-1,-1,-1,560618,-1,824900,401536,766251,492936,-1,-1,-1,884995,-1,-1,-1,-1,-1,881124,-1,860651,692507,88363,-1,-1,485410,-1,29926,-1,-1,899771,689601,-1,-1,586452,-1,-1,-1,274131,-1,726010,314514,-1,78368,171959,781616,-1,-1,-1,408957,-1,-1,-1,-1,235754,996751,-1,-1,-1,401188,-1,626613,-1,697676,612437,679326,935611,-1,-1,578356,-1,25166,272372,-1,-1,961228,-1,-1,385577,168028,-1,-1,365780,-1,-1,714435,911546,825877,-1,169192,787034,51010,-1,656442,196316,-1,-1,563301,41207,976137,-1,-1,817651,-1,70584,-1,610996,-1,351621,-1,573797,63547,-1,996327,791312,-1,291391,584411,-1,-1,873138,988547,334484,994667,598405,681525,992142,-1,48326,533468,-1,-1,-1,-1,-1,38429,-1,523714,476179,-1,-1,-1,849826,171206,904046,-1,-1,-1,-1,-1,484377,304799,-1,459997,-1,-1,-1,-1,-1,-1,305291,719197,-1,-1,273384,-1,-1,505590,530315,-1,550522,399844,603150,549403,696586,-1,284706,-1,772111,458388,-1,590020,467507,-1,-1,450994,671257,877982,397713,-1,-1,-1,-1,-1,-1,943326,-1,954085,-1,472817,488628,-1,-1,-1,966437,177940,-1,-1,734567,-1,-1,761369,-1,-1,259535,90232,443963,-1,63871,312910,-1,-1,6111,634311,972402,-1,545788,-1,623339,404262,120823,273707,-1,818930,598743,955356,-1,-1,902807,-1,-1,-1,952650,312744,-1,717126,377154,-1,114292,329844,652247,-1,-1,385040,825394,-1,815728,-1,-1,-1,650964,-1,-1,482496,922414,656612,-1,-1,-1,-1,-1,-1,259380,-1,238638,-1,-1,865375,-1,437802,-1,678238,208119,-1,-1,-1,-1,-1,327582,675117,923463,73799,-1,-1,-1,424208,781483,-1,-1,-1,-1,-1,688834,-1,-1,-1,420664,-1,-1,53325,924221,-1,315580,-1,-1,-1,-1,416031,355705,261131,-1,495254,-1,113969,-1,-1,-1,-1,497027,316785,813025,-1,220352,-1,310487,95953,-1,177060,22802,818480,928853,196117,92592,485393,-1,393957,-1,364226,-1,885491,515210,-1,912015,-1,164112,-1,139604,896897,116159,-1,-1,-1,868485,230204,-1,908314,-1,-1,-1,-1,500400,397673,62958,-1,986353,898119,403729,730597,-1,482782,667674,22584,489455,487480,-1,-1,-1,295173,559246,-1,-1,691857,-1,843428,-1,681153,821090,-1,-1,-1,743451,-1,-1,-1,748406,590957,508229,-1,-1,-1,263229,-1,-1,-1,849742,-1,-1,86950,644705,980615,-1,695473,977623,957735,173903,875095,883472,-1,510942,162331,143067,-1,-1,-1,596779,-1,376231,-1,383318,553915,-1,-1,1479,630956,719420,-1,752878,-1,-1,440029,-1,732851,-1,-1,990513,-1,412835,-1,658843,622168,912401,213463,-1,-1,255096,204612,-1,-1,-1,-1,420717,839254,375960,-1,83084,-1,71220,-1,574431,-1,-1,602446,136211,358771,258961,-1,-1,679464,-1,159944,-1,943619,-1,326955,-1,602916,-1,221156,-1,282382,-1,208045,284823,-1,560272,-1,-1,-1,739999,331988,-1,542610,-1,975792,433010,-1,-1,-1,929938,351185,309717,-1,829514,-1,9820,231366,-1,-1,-1,-1,550219,-1,-1,-1,-1,146387,144241,832085,-1,715617,-1,-1,-1,-1,90475,-1,559065,375541,922829,-1,623791,379862,-1,-1,-1,557629,576655,915916,567904,197710,-1,279815,-1,-1,909410,397876,859841,362981,-1,163532,702348,24276,-1,-1,905884,399432,430273,345079,143111,354019,-1,-1,631625,-1,-1,123834,647529,216968,-1,226834,2298,-1,843005,-1,-1,-1,599238,740830,-1,404810,-1,99352,557568,99607,-1,45750,632645,722403,-1,-1,25218,370871,-1,338150,829928,-1,-1,270972,300273,-1,-1,-1,-1,-1,669447,35243,601313,-1,-1,358373,649887,-1,979624,646409,748140,-1,470358,661860,-1,-1,-1,391468,-1,611499,-1,607795,404076,-1,531314,-1,-1,268646,173223,480121,541045,819389,615020,-1,-1,-1,-1,-1,561803,-1,-1,478693,837022,-1,-1,407879,330471,-1,294280,-1,-1,-1,223964,-1,893535,-1,-1,-1,748042,651949,399406,-1,-1,-1,-1,-1,112754,-1,675774,23475,110653,-1,-1,-1,-1,-1,-1,892047,565139,-1,981641,-1,818829,-1,-1,-1,-1,-1,883122,482247,-1,-1,876800,248153,-1,-1,191084,-1,-1,387769,987424,672627,-1,-1,-1,-1,471106,-1,687881,-1,-1,-1,936396,-1,-1,34233,-1,188108,-1,-1,-1,-1,-1,846558,861800,618381,43489,336889,-1,-1,-1,-1,-1,156992,-1,594365,995021,837408,623195,-1,114819,553495,-1,-1,36734,-1,-1,-1,85393,-1,362243,282288,875749,-1,-1,-1,192740,524484,341396,675252,516598,-1,479638,-1,397440,-1,249574,851533,-1,-1,-1,-1,895627,-1,416723,-1,133408,-1,197172,-1,908167,269497,-1,-1,-1,-1,-1,-1,359286,131942,744400,-1,902992,-1,-1,806093,-1,-1,837348,440256,-1,470285,310156,-1,-1,-1,607085,321073,739696,-1,-1,-1,264562,803002,391096,-1,-1,698248,598918,112065,396482,279167,938573,464102,461381,-1,-1,897608,651189,-1,887273,543370,-1,218416,-1,404521,-1,-1,-1,-1,893148,76898,981887,724168,607370,-1,-1,545215,-1,828273,604793,-1,668800,-1,148700,843707,-1,-1,974950,89121,801844,754155,-1,-1,544438,100450,249505,-1,-1,-1,-1,677425,68815,-1,-1,49584,281315,-1,-1,924833,538960,-1,-1,243121,77170,736988,196302,483093,228456,811385,-1,513973,-1,-1,774645,-1,-1,-1,-1,-1,265109,-1,909659,912822,-1,-1,-1,84905,355293,152649,147093,-1,-1,976266,992564,822452,-1,77611,-1,-1,-1,300983,-1,-1,901196,-1,-1,841761,-1,-1,585086,736874,229055,-1,-1,-1,-1,174093,-1,602634,-1,-1,379723,517260,504251,964930,-1,910988,-1,-1,-1,12876,757617,-1,-1,-1,969507,973680,-1,-1,-1,-1,-1,-1,398305,566803,-1,-1,-1,518052,897581,-1,-1,323084,-1,-1,-1,-1,236689,272299,948686,520258,-1,-1,478855,292297,-1,780878,-1,535292,847757,-1,746468,383271,-1,-1,606549,885368,-1,483725,-1,-1,587341,-1,-1,984782,825048,-1,-1,-1,-1,-1,-1,172877,-1,420432,-1,407804,990969,172453,-1,-1,6773,376461,-1,-1,-1,227410,709854,-1,-1,-1,316050,444071,-1,-1,504329,472783,865357,-1,-1,541407,181224,-1,777773,-1,243059,-1,-1,-1,-1,292509,431542,-1,-1,619253,-1,324303,-1,-1,851350,-1,-1,-1,357286,651543,-1,338037,-1,-1,-1,-1,-1,310904,695414,-1,524871,733421,-1,-1,56692,-1,-1,-1,-1,591532,-1,-1,-1,-1,881398,890467,26458,-1,-1,-1,330520,-1,11256,638357,765767,766619,-1,215187,526361,-1,-1,-1,-1,-1,622913,553070,-1,181858,-1,17622,931712,-1,555975,-1,-1,-1,-1,490917,616763,-1,473979,215448,643835,86411,977533,-1,383889,106503,-1,-1,590147,560464,-1,798414,-1,-1,308610,-1,-1,402819,19734,-1,-1,277342,379466,699664,347573,614844,225832,421820,-1,461823,872257,-1,855546,77744,536458,324319,801663,-1,-1,212882,303052,832538,91301,127036,-1,476082,-1,-1,683576,298404,-1,-1,506876,139703,538305,297786,-1,-1,-1,720158,866748,51805,-1,213053,265301,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,995980,99056,-1,-1,-1,-1,605732,-1,417399,-1,288980,768251,-1,513476,-1,677978,220932,741254,-1,-1,641578,66227,36882,-1,-1,888929,440780,-1,651144,-1,408791,-1,-1,-1,-1,236868,-1,-1,697501,-1,-1,462183,74518,-1,-1,-1,382264,-1,637439,-1,-1,-1,-1,117977,793440,799871,70815,-1,-1,-1,-1,140104,773856,-1,327318,175410,981396,-1,-1,-1,484596,-1,-1,90372,-1,99149,650106,-1,658827,-1,728547,358125,-1,69352,557280,135533,-1,-1,263243,-1,567282,-1,636823,-1,328386,-1,-1,594567,366976,448054,-1,-1,-1,-1,934460,-1,-1,752704,-1,-1,369018,-1,-1,356105,553281,-1,783790,-1,27491,-1,-1,-1,-1,675542,-1,-1,539203,-1,-1,-1,-1,761500,766889,-1,-1,-1,205818,-1,-1,-1,-1,-1,-1,8011,150039,349562,25272,-1,-1,-1,289939,-1,637214,-1,-1,100487,-1,192593,-1,79590,-1,-1,180324,-1,739805,535714,-1,-1,-1,782525,-1,-1,677328,-1,964808,-1,-1,-1,-1,-1,-1,260316,911869,-1,-1,114383,-1,-1,-1,125365,-1,-1,-1,-1,-1,-1,184926,412422,233927,553037,967082,-1,939089,643723,-1,477505,232392,50108,-1,-1,-1,535077,199102,-1,-1,907871,371632,-1,193612,891053,-1,-1,743927,708647,-1,-1,76665,292111,717873,446054,-1,153582,712175,559169,853887,212670,-1,-1,170398,-1,-1,625889,-1,-1,489300,-1,248003,-1,589658,-1,239910,830278,224094,-1,528952,-1,290726,285501,374683,-1,22218,659327,-1,200020,-1,-1,218464,-1,-1,-1,383304,-1,-1,299841,-1,33566,753398,502564,-1,710905,-1,-1,182481,400439,205238,-1,446210,880027,-1,-1,663972,742632,822827,765684,-1,176055,814782,-1,-1,329534,236337,-1,-1,-1,196157,38236,-1,645640,-1,986854,191448,-1,-1,192411,-1,-1,34308,369178,-1,-1,971266,280537,-1,-1,731633,-1,10414,-1,427394,159659,156052,-1,-1,673119,-1,167968,-1,-1,505845,-1,302749,-1,-1,-1,134003,465899,-1,-1,120900,-1,-1,757131,-1,-1,-1,-1,-1,-1,-1,-1,999863,53652,248309,-1,695755,610363,180913,-1,-1,296182,-1,92193,813027,-1,273554,-1,-1,574702,-1,216772,81118,-1,602626,-1,887183,-1,-1,2133,606399,968890,-1,218750,67649,-1,906251,-1,919698,-1,426449,391354,-1,-1,-1,34379,-1,200303,534523,209120,310478,-1,991519,-1,-1,-1,162936,-1,752929,292651,-1,966838,-1,-1,11091,-1,209944,917611,107128,-1,262828,-1,390571,455850,342537,466254,-1,396107,507290,-1,109377,-1,98637,796680,151438,-1,173496,-1,-1,894067,557301,-1,-1,-1,324898,810936,358208,358672,-1,-1,-1,828603,289799,-1,-1,-1,-1,864640,-1,-1,-1,440483,-1,-1,-1,191257,-1,-1,715651,-1,-1,-1,800412,-1,521029,883743,-1,835063,-1,138355,9488,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,24371,481812,-1,-1,-1,-1,-1,-1,527511,834463,-1,753797,691504,-1,-1,270229,-1,862345,-1,-1,406526,-1,429410,-1,595998,-1,36827,810253,939077,-1,356298,678656,-1,60194,333201,884792,192742,-1,687075,882001,438926,-1,-1,-1,240856,365153,56123,150271,-1,-1,983901,64008,730399,863755,274194,891050,-1,808431,835207,125874,654557,-1,498283,762133,-1,-1,-1,-1,-1,647258,-1,932275,758909,-1,-1,604991,673199,-1,876019,-1,-1,-1,-1,897911,54385,614077,-1,-1,-1,651829,-1,-1,-1,991257,7152,-1,327565,637512,346838,-1,-1,609937,-1,171173,-1,-1,-1,716118,-1,-1,-1,182445,-1,-1,688294,-1,623235,-1,600517,788480,132783,-1,-1,-1,-1,-1,-1,-1,712637,-1,776350,-1,239312,32444,-1,-1,-1,-1,-1,649424,372066,698734,774814,319359,-1,459825,-1,46620,876094,-1,-1,443140,-1,554091,181445,-1,62878,88446,620699,-1,-1,736983,-1,-1,942331,221979,573189,979737,667638,-1,170252,-1,130095,278963,-1,211190,226516,-1,-1,-1,-1,-1,-1,908796,-1,338467,559648,109069,33558,835591,-1,-1,-1,-1,549535,222798,-1,210666,953576,-1,-1,-1,-1,957213,-1,374169,-1,751417,355351,-1,237668,241335,917080,522410,235127,321782,-1,-1,-1,350511,-1,-1,600534,-1,137444,773222,809537,-1,378707,-1,236429,409450,350027,761609,-1,-1,859959,-1,787073,512403,932839,-1,453299,592079,-1,242940,-1,-1,222371,-1,-1,-1,-1,992844,50058,556994,-1,-1,921648,640235,-1,-1,-1,-1,615533,417312,-1,-1,750872,-1,700421,296780,-1,-1,-1,464248,-1,-1,479423,-1,-1,536069,240897,-1,40517,128273,-1,109086,-1,296600,855766,-1,-1,-1,276700,-1,-1,29883,-1,-1,-1,-1,375964,-1,79586,-1,493244,-1,895310,-1,665675,714143,-1,-1,-1,-1,204365,-1,-1,-1,524111,-1,-1,58138,-1,-1,515359,-1,908504,693554,124910,-1,101676,-1,856869,-1,-1,695149,-1,-1,642952,446282,226873,187241,474987,-1,-1,-1,-1,360113,-1,76748,-1,491088,-1,-1,-1,847550,355795,-1,201224,-1,-1,-1,-1,7122,439902,-1,663758,-1,-1,-1,-1,-1,592040,-1,-1,702450,-1,898419,-1,797703,26573,-1,494110,960256,456222,862426,322566,789985,-1,-1,-1,-1,735054,-1,-1,970686,857785,317243,-1,824093,-1,641389,90380,-1,675716,367150,-1,-1,-1,-1,70092,-1,490644,732532,-1,466533,897617,-1,-1,-1,-1,286174,918223,931207,576823,407148,-1,792300,954927,890559,779726,-1,273804,-1,547597,726169,-1,-1,-1,268883,876993,884289,738574,-1,-1,-1,215200,-1,-1,120508,392009,-1,862488,228832,977884,-1,522259,455146,779874,-1,744805,-1,-1,-1,-1,941703,451698,534805,-1,-1,257918,935385,644371,483598,904064,-1,640803,915947,969651,75825,853664,-1,332855,825886,758802,439102,-1,616679,-1,-1,-1,-1,-1,-1,939777,-1,485644,-1,-1,-1,741504,415189,270241,-1,-1,670815,132417,-1,875227,46738,760759,778769,698939,679242,-1,-1,328311,-1,33696,589225,-1,-1,-1,242499,-1,-1,-1,-1,834829,359734,-1,376075,634829,-1,952617,-1,226709,-1,807363,904668,-1,-1,-1,-1,-1,-1,643079,93230,-1,468113,690221,850296,7337,-1,49889,614251,954979,-1,18192,673192,-1,-1,-1,-1,124265,-1,887154,-1,-1,-1,507454,-1,-1,-1,-1,-1,156220,-1,286019,-1,647760,669406,744404,-1,-1,142094,-1,-1,880988,-1,966082,930106,-1,331293,48403,-1,936723,367746,-1,532461,782915,-1,-1,-1,861510,-1,-1,-1,-1,-1,-1,-1,-1,-1,360116,712819,-1,-1,738757,-1,-1,487919,-1,-1,944420,790915,663272,818633,-1,-1,-1,154421,598629,576590,545053,400658,124868,171691,-1,-1,-1,-1,226245,434085,954005,-1,-1,447270,367868,-1,504799,-1,519818,-1,-1,425853,789663,845774,-1,214798,-1,-1,864963,870898,170543,215281,161533,760992,-1,-1,-1,-1,-1,-1,656011,-1,-1,-1,238599,224030,9655,-1,847466,-1,456850,-1,776073,-1,741680,9377,284630,501429,50726,16489,518466,339417,-1,-1,745093,-1,176397,-1,-1,-1,952011,825672,785350,34268,489633,-1,152645,-1,-1,-1,152397,-1,169225,376627,959661,665121,640597,-1,1959,699537,356721,-1,918023,322148,-1,340808,977862,-1,-1,584060,114209,376473,-1,-1,-1,-1,-1,-1,135162,101680,-1,-1,455804,-1,-1,-1,-1,631745,-1,-1,152382,-1,854270,-1,19443,819672,-1,368584,995845,976752,390206,-1,-1,657473,484543,-1,-1,193517,969001,-1,-1,9580,-1,-1,146926,613821,889705,-1,687913,278386,117162,-1,1270,-1,-1,-1,876808,-1,-1,493877,850261,-1,-1,-1,286744,-1,597850,44813,779964,181109,481986,142647,390802,855641,-1,107437,-1,-1,572550,103223,110556,477915,-1,644556,-1,71069,405323,60332,-1,972314,913031,372329,689205,472443,409508,-1,52475,-1,159920,-1,865182,-1,-1,-1,-1,663993,-1,-1,606887,-1,-1,586534,403444,-1,-1,10481,719122,-1,354552,-1,-1,222176,-1,-1,-1,761696,-1,808704,805039,899263,-1,-1,473871,-1,-1,-1,896081,-1,-1,-1,926364,34603,11551,-1,-1,-1,-1,806453,577452,913313,762650,-1,-1,248840,763589,115581,-1,-1,711590,-1,-1,400172,543461,113731,41189,-1,-1,-1,-1,484992,-1,-1,866302,-1,-1,344355,400350,-1,34122,224374,195815,686908,510474,-1,384385,891239,162981,180391,-1,-1,-1,-1,342515,-1,674317,65140,429127,-1,2895,-1,129641,-1,142583,-1,-1,-1,-1,-1,895375,333727,103364,501921,787097,516584,-1,-1,-1,785729,364659,922945,-1,-1,393581,71882,627484,-1,-1,705623,24721,731137,-1,237011,277328,-1,-1,-1,-1,577337,22779,-1,909342,-1,-1,-1,-1,-1,-1,-1,145195,-1,-1,-1,-1,-1,-1,166203,353472,-1,-1,587810,-1,-1,44963,-1,72207,-1,-1,729841,672958,-1,499381,595590,-1,-1,901421,-1,194742,302693,-1,377474,592095,-1,636595,-1,-1,-1,-1,394963,755001,121150,45303,-1,82659,-1,-1,886815,323625,518831,681784,-1,799541,-1,-1,680243,-1,-1,-1,-1,510903,575939,31110,-1,-1,224597,765506,-1,779840,-1,-1,54492,190383,-1,-1,403159,-1,461222,99075,513010,403580,-1,-1,-1,735689,-1,-1,872559,-1,504388,-1,-1,-1,-1,-1,-1,239226,393120,259823,17242,258584,-1,785172,133469,-1,-1,249427,-1,-1,930219,-1,347534,-1,-1,-1,-1,241145,599288,-1,-1,580068,-1,-1,-1,416930,-1,2748,-1,829588,300438,-1,334654,-1,-1,350218,-1,-1,-1,-1,50666,928140,929003,562030,904766,532375,619804,-1,93461,-1,598393,-1,796468,-1,60205,-1,780250,17932,-1,508450,-1,967625,316872,-1,839796,-1,-1,950766,-1,922695,498522,623761,682026,562791,165694,759335,-1,-1,573837,96186,944209,927749,-1,-1,42840,-1,-1,226423,-1,369515,-1,-1,913582,825978,-1,26731,-1,65944,-1,-1,580136,998690,347708,342185,638570,-1,445229,441148,-1,-1,-1,576928,689985,281745,-1,464620,-1,-1,721459,262382,-1,-1,589298,628987,-1,826981,-1,397429,710290,-1,-1,80770,653881,-1,-1,152575,-1,67218,-1,893181,-1,-1,-1,67934,-1,863098,109794,517219,-1,409441,522992,-1,640171,295106,-1,-1,-1,-1,476056,-1,-1,294552,-1,-1,739952,-1,723964,434999,-1,-1,-1,778710,-1,-1,-1,-1,21208,-1,817763,-1,864415,702391,-1,-1,-1,181335,-1,-1,879616,-1,255497,769763,-1,805221,23552,-1,-1,-1,373698,-1,-1,-1,-1,91911,747338,-1,506871,853026,-1,-1,724360,-1,669409,150428,788226,-1,-1,-1,-1,916316,-1,784506,-1,-1,-1,558080,-1,997114,852921,473464,-1,156740,-1,779818,248105,-1,-1,62039,192075,-1,-1,855266,275203,456302,570324,-1,538780,-1,-1,510265,726122,-1,345435,19986,-1,-1,729627,73189,-1,-1,-1,56718,838027,-1,13153,507579,987330,42374,-1,907080,-1,629963,-1,-1,-1,-1,-1,-1,-1,-1,-1,939391,45195,784438,634584,-1,850920,758732,-1,-1,455145,-1,-1,-1,-1,421632,362041,300990,748434,-1,-1,-1,-1,269007,-1,359572,-1,-1,-1,812934,-1,-1,57637,-1,438706,341462,-1,-1,-1,751619,218120,995187,57912,-1,346696,-1,-1,-1,-1,769395,-1,687893,491704,-1,-1,949650,904942,718242,-1,-1,542445,57927,324002,-1,-1,-1,-1,276341,-1,-1,420487,-1,642097,-1,990578,9847,-1,-1,-1,-1,822324,-1,-1,324156,-1,-1,907144,228536,289916,760579,-1,337030,282867,-1,-1,-1,-1,-1,993831,916840,-1,-1,598700,-1,-1,-1,-1,-1,832011,198100,-1,-1,177432,245735,635545,915533,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,412723,-1,-1,-1,-1,-1,-1,-1,-1,618170,-1,-1,-1,-1,-1,-1,-1,-1,-1,37789,-1,-1,-1,201909,124606,-1,-1,-1,-1,611311,-1,778590,-1,-1,453446,235316,-1,7309,594631,197113,36860,856044,702197,-1,-1,-1,-1,-1,451623,-1,-1,165073,801387,-1,785448,826136,-1,-1,-1,508963,400205,-1,-1,-1,-1,516467,988581,-1,445060,613545,-1,605229,-1,-1,-1,387278,840862,806602,157037,246891,-1,643117,808963,-1,-1,-1,408545,128496,76869,49351,600255,-1,846389,898026,-1,-1,-1,-1,-1,-1,-1,-1,-1,255980,139844,296334,365662,-1,233398,-1,-1,-1,973589,-1,82787,-1,-1,298478,458031,836311,-1,319176,85199,639381,-1,285239,-1,-1,818131,254259,-1,643852,868352,-1,725058,676461,216398,-1,766590,904128,5638,-1,-1,-1,-1,3388,-1,339860,268323,782123,994020,228614,-1,-1,-1,924275,-1,71640,393570,120929,376436,448518,-1,-1,565533,-1,351500,-1,-1,-1,204456,198739,-1,911732,6869,567040,-1,-1,241575,-1,684523,274575,543568,562847,764208,841757,-1,-1,-1,597564,605702,697623,-1,479460,-1,407476,453765,115770,271724,213868,185426,591482,-1,-1,874629,951079,136748,-1,90900,50276,-1,206385,-1,-1,-1,-1,400089,762025,293378,361117,-1,-1,1943,-1,534051,-1,263931,257363,664294,-1,-1,-1,725392,818902,368068,36173,477389,980131,-1,103454,710484,-1,-1,-1,-1,954816,708778,-1,-1,-1,701601,-1,792922,-1,-1,-1,-1,-1,513163,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,670449,734613,457536,879735,-1,515609,783889,454481,-1,-1,582519,300381,-1,942916,99748,39500,-1,-1,-1,-1,5733,-1,821672,116478,706539,870162,-1,-1,-1,-1,569841,-1,543047,662686,527950,-1,694020,-1,-1,144701,-1,362384,207684,-1,-1,61178,-1,-1,223623,-1,218375,55275,-1,-1,-1,52077,-1,-1,-1,685818,680479,131257,303727,-1,153211,685804,725251,-1,555552,-1,-1,331716,460600,354862,-1,-1,572427,762362,787680,-1,456801,-1,-1,4216,-1,-1,-1,-1,-1,-1,-1,254348,-1,762644,757941,592586,-1,848679,447910,867526,188847,389038,959073,-1,770372,-1,338002,248967,751854,455951,512760,793021,-1,248771,213662,66771,-1,-1,782164,567677,683463,-1,-1,-1,-1,57423,76770,-1,76530,-1,36460,961101,661588,112766,29309,809498,973761,-1,-1,-1,-1,-1,853618,-1,-1,793078,-1,482443,161969,931220,240032,-1,839758,719500,732153,-1,462527,-1,616998,-1,441420,-1,-1,874256,-1,100131,-1,955535,-1,880406,-1,903481,-1,-1,-1,275637,-1,19013,-1,-1,305077,960833,-1,523005,980812,-1,-1,-1,471072,-1,-1,-1,-1,722006,-1,-1,54317,-1,-1,908342,480002,-1,-1,734143,-1,-1,259629,-1,-1,465053,-1,211995,710210,-1,874898,179432,299231,-1,-1,-1,58740,279069,-1,-1,522630,-1,792222,-1,537524,588613,-1,382378,110077,-1,267016,-1,648311,-1,117401,-1,31168,3700,-1,941752,367486,-1,-1,952735,-1,139956,-1,237454,-1,784124,193713,716283,912443,-1,658772,-1,-1,-1,766878,856664,-1,-1,-1,911755,-1,-1,-1,-1,187110,-1,-1,635135,-1,94087,152926,-1,-1,573346,-1,-1,-1,-1,869449,698344,730954,-1,52735,69695,-1,-1,269727,163893,-1,503729,-1,606689,-1,-1,-1,830824,-1,936916,-1,148907,558056,-1,169294,8912,-1,-1,-1,898781,607118,-1,-1,118377,-1,-1,-1,196455,171983,551262,250121,452141,-1,-1,683956,-1,-1,262380,-1,498180,51120,-1,494081,129159,98292,505173,334597,-1,-1,459351,94516,806951,318268,911230,781548,552073,-1,92134,91323,-1,-1,643428,-1,-1,-1,-1,52379,675527,-1,326454,664550,949559,425796,-1,193429,4731,359007,413303,-1,413076,-1,-1,-1,-1,-1,846031,29716,101530,847553,949462,194720,599323,192654,-1,568686,-1,-1,-1,895269,-1,393605,-1,16119,816006,626097,682617,-1,-1,184864,517352,406868,50522,486614,953593,-1,-1,-1,681370,-1,-1,-1,867134,296545,-1,513777,-1,-1,-1,697344,304588,-1,299393,-1,-1,135036,-1,170188,-1,611996,468904,-1,-1,954134,297588,92722,-1,-1,816678,182063,194759,353508,273013,-1,31664,-1,22264,-1,71299,517875,765658,-1,824148,780433,-1,-1,4084,-1,-1,-1,14207,660002,869190,710416,-1,416179,702072,-1,-1,-1,69548,-1,-1,123331,695196,-1,808699,-1,-1,-1,122816,485536,588802,290196,-1,942106,-1,-1,-1,-1,610849,-1,-1,-1,-1,-1,683560,-1,258193,-1,-1,-1,458561,991081,339204,-1,401833,971273,-1,-1,325927,694404,939820,-1,-1,447738,-1,771775,-1,854798,-1,704521,3375,503157,-1,-1,-1,763570,653267,516826,182286,807353,-1,397285,-1,718062,-1,567233,999724,272979,-1,-1,-1,-1,986539,97586,159825,372021,-1,-1,781361,-1,425185,-1,-1,969759,16538,-1,-1,-1,-1,-1,402343,-1,-1,-1,393670,-1,116275,-1,-1,329794,-1,-1,846872,32468,146132,250354,-1,-1,302570,961272,901437,109105,-1,-1,699878,-1,129522,331045,-1,-1,-1,415810,-1,614049,255357,-1,-1,611709,59056,591282,-1,81096,596682,910060,439448,885248,-1,617584,775009,-1,-1,97195,179379,-1,353884,330651,488331,357177,-1,262585,-1,284334,320437,215464,-1,-1,-1,199857,66094,987405,280244,-1,213544,-1,474877,-1,206733,13264,981342,152834,-1,8288,179776,-1,-1,-1,-1,-1,-1,380582,816070,297148,-1,-1,-1,-1,46882,706087,433871,491130,-1,-1,438601,977731,-1,-1,-1,819052,-1,-1,232009,471114,97683,839579,977931,-1,-1,-1,244574,-1,800306,-1,218641,678898,135722,-1,-1,92125,971346,-1,896031,-1,-1,-1,154676,-1,653004,319152,880581,893281,-1,350177,-1,-1,731544,-1,-1,156713,221300,938593,735528,-1,120650,-1,-1,-1,-1,-1,-1,-1,346098,690388,956629,-1,398242,904716,-1,953793,-1,354468,586732,109033,-1,-1,-1,167480,-1,-1,-1,998804,869410,684960,-1,-1,-1,313778,-1,386855,864968,-1,-1,315968,-1,-1,70610,557795,-1,-1,190969,-1,275187,375090,-1,-1,-1,696713,128600,343241,309045,632786,-1,-1,-1,891028,-1,7680,-1,419269,826921,348839,-1,4626,-1,508117,-1,879587,995119,704766,-1,-1,-1,-1,-1,-1,-1,676446,299648,-1,267793,-1,895617,-1,-1,-1,264149,358517,-1,917849,-1,-1,102531,8624,-1,-1,-1,-1,-1,743300,328382,-1,560559,-1,-1,-1,-1,-1,129253,-1,-1,659064,-1,-1,731686,701309,82403,-1,358441,-1,-1,-1,-1,609703,501555,636589,792698,733670,884463,-1,-1,995359,-1,-1,43932,192298,157267,607181,133885,-1,-1,-1,-1,-1,93703,374836,-1,298601,-1,-1,612083,-1,-1,-1,593781,-1,666529,-1,-1,-1,972685,-1,490421,-1,-1,624432,880370,-1,771967,812731,-1,-1,-1,622423,195395,469101,907703,-1,-1,-1,-1,90716,-1,968934,-1,855993,-1,132938,-1,-1,685049,-1,-1,321834,-1,248353,895663,-1,-1,-1,-1,-1,629144,87084,-1,-1,-1,90292,-1,401120,-1,-1,-1,751935,418116,-1,278538,446599,797331,-1,224426,647651,894813,859120,297908,-1,-1,466984,-1,110796,-1,-1,-1,561115,15057,231560,-1,-1,-1,-1,897324,-1,308081,-1,-1,-1,54951,28291,57538,652722,-1,165104,-1,-1,-1,-1,-1,604816,-1,-1,736754,94353,-1,-1,-1,-1,-1,-1,241651,-1,-1,-1,-1,-1,-1,-1,741170,897927,117088,328366,-1,-1,824275,-1,339231,-1,-1,949241,138420,987540,-1,-1,-1,-1,-1,146282,-1,337511,638993,-1,923195,579892,-1,-1,223498,733229,-1,-1,-1,595646,402796,-1,368818,90137,-1,377569,-1,-1,234459,454430,-1,-1,-1,662555,567351,-1,-1,930023,813492,-1,760164,-1,-1,660027,941723,-1,-1,-1,313398,535322,612846,674746,621475,-1,235911,89756,320817,-1,977140,-1,-1,774672,450244,505506,781645,-1,547377,-1,-1,-1,-1,174518,233387,-1,-1,-1,-1,-1,652969,814477,-1,704865,-1,-1,362457,305542,-1,804833,-1,-1,546101,859164,217242,-1,800007,-1,332050,-1,-1,950036,-1,-1,840864,818075,-1,-1,261857,422974,-1,-1,478756,270353,-1,640739,879428,477826,-1,-1,-1,758660,-1,-1,-1,-1,-1,358111,525189,698659,297522,-1,897153,89414,-1,775952,-1,-1,-1,-1,309791,278628,580210,926915,-1,863378,69245,386472,-1,547391,152900,525727,659563,394607,182425,157467,-1,-1,91950,641098,938293,133986,-1,-1,-1,113143,937634,823449,418013,216836,394799,167846,822880,-1,-1,-1,189083,-1,-1,90483,821196,-1,-1,699700,526347,958685,891662,972678,-1,-1,788425,-1,808082,439372,-1,701638,889069,-1,-1,562377,537818,-1,-1,-1,-1,343865,-1,893743,-1,-1,-1,380887,52341,212659,412150,-1,-1,674085,955406,-1,-1,-1,-1,583700,-1,442194,181996,-1,3096,-1,104365,-1,-1,945229,459754,525487,475949,469711,603854,-1,740818,626007,-1,-1,-1,-1,-1,-1,-1,250635,984405,971807,261647,550287,-1,-1,-1,364245,-1,-1,-1,697940,-1,-1,-1,354557,-1,509453,-1,911476,617450,-1,221622,-1,-1,50396,657811,770412,8903,-1,471510,272430,601694,491572,776537,-1,-1,-1,424803,-1,-1,-1,310764,776107,-1,127076,-1,-1,403740,-1,907382,-1,-1,892061,-1,103079,908754,-1,383831,-1,-1,722467,-1,-1,192260,-1,-1,573764,-1,-1,-1,84949,-1,914929,-1,582060,849041,472489,718739,-1,-1,-1,-1,304,611929,-1,-1,-1,-1,-1,-1,347892,-1,177445,975116,364077,-1,389653,-1,-1,-1,-1,-1,981706,-1,-1,569557,533180,-1,-1,-1,38081,-1,-1,203671,-1,-1,911301,160384,-1,593080,355613,-1,10737,-1,-1,18232,-1,913294,-1,908957,169490,-1,253143,-1,758724,907121,-1,-1,-1,119272,-1,61326,833558,470144,-1,-1,-1,296349,-1,597205,-1,-1,501704,-1,708642,-1,-1,295758,-1,-1,-1,259595,341599,-1,969136,-1,-1,-1,-1,199584,-1,-1,-1,392589,-1,255931,745624,753507,-1,-1,87452,98792,767474,-1,-1,-1,274259,-1,-1,73535,-1,-1,465555,-1,346722,728975,-1,366971,729287,-1,162898,107512,-1,-1,-1,-1,457665,507462,-1,-1,-1,267949,-1,-1,387151,-1,801091,211210,-1,-1,648237,746821,-1,-1,734946,850836,278157,827646,-1,-1,240352,-1,510429,116819,-1,-1,196192,-1,-1,436581,779625,-1,287573,490653,687434,823803,511180,-1,-1,604092,-1,990528,234069,912499,853957,-1,-1,-1,275317,-1,117037,-1,274952,-1,99150,-1,-1,-1,732300,-1,397697,398959,-1,645790,-1,-1,367283,-1,-1,114850,-1,44629,518421,598486,-1,-1,400470,-1,531343,-1,525802,-1,-1,-1,354946,663008,-1,107802,279503,942746,-1,133878,330472,-1,-1,248882,525725,-1,419185,-1,142525,-1,510612,38254,-1,375191,-1,-1,907419,-1,179241,678875,779577,486736,-1,59122,876325,-1,171448,-1,-1,593122,409270,-1,-1,-1,508398,590196,-1,443611,347223,537914,-1,-1,16613,-1,-1,-1,-1,737622,3586,646920,948994,-1,795265,-1,-1,52234,-1,-1,-1,255502,235449,-1,-1,-1,-1,589574,592425,-1,-1,147548,690534,-1,-1,197944,-1,308644,-1,-1,-1,27450,993134,-1,637415,-1,229279,963719,-1,736205,-1,910228,778276,100874,-1,-1,-1,854890,634630,-1,-1,-1,-1,524600,-1,685910,847172,231901,650494,-1,-1,183313,728245,-1,-1,-1,356663,411858,-1,232123,-1,252939,121932,-1,399963,256286,238770,-1,-1,-1,-1,866790,552846,284222,307428,75164,-1,-1,-1,497043,-1,147240,917990,375765,-1,37571,187920,716756,-1,492289,-1,-1,993964,-1,496573,-1,546771,-1,543971,-1,966980,296517,-1,-1,319254,297885,435154,241745,-1,181795,526817,-1,490619,162854,240822,-1,621063,-1,2870,-1,-1,-1,-1,-1,145857,-1,378467,-1,-1,-1,28190,-1,197916,288804,-1,-1,778069,875993,29177,542375,500461,216264,226584,-1,-1,-1,126874,968612,741326,467224,143699,-1,-1,-1,-1,-1,821976,527367,-1,-1,-1,483193,458209,987112,990558,-1,166207,-1,782895,-1,391426,-1,-1,-1,520653,-1,-1,918239,-1,409212,-1,-1,608679,712852,561575,-1,-1,-1,-1,-1,-1,707663,-1,-1,-1,-1,96404,-1,905283,-1,-1,139383,146728,226540,729372,-1,476957,700379,843464,-1,-1,55887,-1,624672,-1,-1,781715,117970,138498,276027,-1,-1,88861,614636,412854,933846,941726,656217,-1,617375,-1,-1,-1,672775,-1,-1,-1,272385,-1,-1,-1,-1,-1,-1,877544,-1,-1,-1,540913,-1,970477,331327,494333,721498,-1,853267,722918,368578,-1,-1,-1,875762,-1,108593,789436,-1,921575,-1,815744,-1,-1,-1,-1,314506,-1,-1,-1,-1,142605,593951,350052,344535,-1,-1,-1,963074,905723,283761,-1,-1,-1,170807,462247,792070,761215,-1,412432,-1,121790,-1,-1,-1,310170,56498,-1,283930,-1,68757,-1,-1,651221,-1,80927,-1,-1,256078,909599,-1,-1,264459,322569,197782,-1,-1,189891,-1,681151,-1,-1,581882,-1,156509,-1,582793,991619,-1,208950,-1,-1,402412,-1,-1,103411,337203,-1,550831,-1,-1,218756,629284,-1,-1,-1,494724,-1,-1,14828,-1,270362,-1,-1,195750,-1,-1,-1,-1,-1,-1,-1,-1,966688,474063,891836,496386,521922,-1,-1,-1,-1,-1,-1,-1,755360,956362,389111,458002,-1,988499,572054,-1,655050,469586,-1,695259,575960,-1,410203,-1,15484,539374,-1,-1,674484,318786,740562,-1,-1,-1,282448,-1,916568,-1,534399,-1,-1,-1,-1,-1,254156,-1,29516,774740,224319,649545,-1,763826,433440,-1,-1,-1,-1,-1,919865,-1,30087,-1,826246,-1,-1,478254,-1,-1,-1,625766,853046,-1,390009,253442,352181,-1,-1,737408,-1,-1,-1,-1,527251,-1,812386,382318,652645,-1,-1,-1,529921,776790,-1,-1,466059,-1,36584,513372,-1,607549,852985,201568,922093,-1,-1,517702,-1,915535,533115,261470,-1,-1,99744,-1,151673,307966,55177,153431,-1,-1,919771,604922,-1,-1,404628,253066,386121,-1,620259,672637,-1,-1,266863,782661,343779,318286,-1,771429,267783,-1,753657,44562,874040,312067,364359,447851,-1,-1,808122,687705,204170,708714,550655,-1,-1,-1,-1,985918,125660,-1,-1,-1,557283,158914,-1,-1,110543,-1,-1,-1,-1,-1,-1,69992,774486,909291,291918,-1,260782,569965,-1,-1,-1,-1,119519,-1,234191,256143,-1,705596,-1,455604,-1,-1,-1,756863,-1,449699,-1,621064,420243,918168,438800,-1,222315,-1,633457,-1,-1,893215,-1,-1,-1,442214,950778,-1,23895,683177,205861,896683,321845,279429,-1,-1,-1,627381,-1,950403,-1,-1,694178,583813,299644,-1,808451,-1,471993,507995,-1,192183,-1,-1,22035,-1,416432,657718,-1,-1,-1,-1,865317,863337,478336,-1,-1,-1,192744,28893,-1,510423,373630,768365,916466,-1,-1,98350,993682,36248,527699,458922,-1,-1,261728,-1,-1,-1,81287,84352,400264,-1,274504,-1,589300,-1,936209,-1,118244,503731,-1,619389,929112,580812,-1,-1,-1,-1,-1,862424,-1,519733,-1,969532,-1,602632,-1,-1,-1,913184,-1,784341,122092,379977,-1,158569,-1,-1,448151,-1,239215,593036,844756,-1,122220,60153,-1,960845,349300,-1,953141,-1,607628,-1,-1,-1,623599,619268,601765,-1,-1,680251,840992,-1,-1,-1,-1,-1,127952,-1,-1,-1,-1,502266,871741,-1,-1,826358,708269,-1,-1,714706,-1,308381,808366,877951,-1,-1,418736,-1,-1,-1,-1,-1,-1,-1,-1,265865,-1,-1,209583,-1,-1,-1,-1,-1,14771,26388,-1,-1,-1,-1,-1,-1,-1,-1,-1,563333,551884,-1,95363,-1,-1,413918,-1,-1,-1,-1,-1,250729,488004,-1,-1,652327,918643,-1,-1,-1,-1,-1,-1,-1,-1,-1,138323,-1,237972,268894,-1,330089,-1,-1,174816,200467,-1,-1,-1,263580,-1,894677,119990,-1,-1,-1,-1,-1,307890,347451,311339,-1,232730,673935,358447,-1,-1,-1,-1,791832,583477,310078,-1,-1,246503,-1,826903,84080,961070,-1,822156,-1,959223,349151,-1,357477,-1,401782,847296,-1,50773,130975,805643,710003,-1,-1,-1,-1,390265,-1,-1,694085,-1,-1,427822,-1,540667,208740,-1,56642,165818,-1,-1,-1,-1,156258,-1,-1,42003,-1,889909,-1,-1,674767,-1,-1,840487,622560,255133,889074,-1,-1,736833,-1,-1,-1,-1,-1,890110,511760,650168,202038,282757,-1,-1,-1,78199,591675,492293,379754,512248,58559,-1,-1,-1,-1,-1,287614,981966,802054,-1,-1,633029,-1,372377,-1,-1,754536,-1,-1,627931,705201,-1,434633,753891,-1,661635,949253,905891,544318,-1,-1,-1,-1,-1,-1,297942,142410,-1,-1,-1,-1,344697,-1,-1,388600,76021,-1,-1,749565,-1,464886,-1,335897,7413,-1,866663,41243,745940,-1,685693,562475,387178,959036,943068,198024,-1,703551,642880,352465,-1,-1,954196,575238,-1,32333,199722,-1,-1,-1,790962,448826,602968,-1,-1,-1,177923,371997,-1,223617,486936,-1,-1,155340,487378,238836,374056,175532,-1,727554,371770,726876,-1,766571,-1,-1,167470,-1,549760,-1,988521,-1,-1,670309,191744,-1,-1,193795,564002,422565,51631,-1,257681,-1,171818,-1,-1,-1,537189,-1,-1,283929,941106,-1,91624,385216,-1,-1,-1,353733,-1,-1,956773,-1,452381,-1,842888,-1,-1,745675,-1,-1,-1,440820,-1,301180,294124,-1,-1,-1,30853,-1,875061,-1,563130,105105,-1,364390,-1,323018,662148,-1,459691,183831,-1,-1,-1,669807,252135,305076,104081,106500,-1,-1,-1,-1,-1,485236,-1,-1,-1,893934,-1,-1,399930,594769,-1,280857,-1,-1,-1,792544,-1,-1,883344,-1,-1,-1,57158,269635,533098,612824,640290,491391,-1,371225,-1,839391,548516,867580,281806,-1,-1,156911,-1,-1,500926,-1,-1,29628,-1,-1,-1,357675,-1,-1,-1,-1,-1,-1,-1,658638,-1,-1,211879,-1,-1,-1,-1,645159,22201,-1,-1,-1,-1,669986,-1,-1,-1,-1,517390,-1,944710,610871,638091,-1,-1,-1,-1,-1,-1,-1,304256,-1,307713,658725,-1,-1,98971,489682,494786,-1,710733,326498,-1,380723,-1,-1,-1,-1,-1,-1,558192,-1,-1,-1,557837,-1,677137,617759,7121,219191,898265,204511,354312,-1,-1,-1,646315,423115,-1,399075,137891,-1,4871,-1,-1,985393,230882,-1,-1,-1,763658,922937,-1,-1,-1,311158,995588,730091,-1,756903,-1,213467,-1,249943,-1,103841,-1,921857,597744,-1,-1,-1,-1,-1,-1,919963,547830,321559,628793,970731,541758,-1,980068,229965,-1,-1,429586,77934,-1,675745,508538,570011,582725,-1,-1,-1,-1,356378,29485,-1,-1,662627,-1,60185,-1,-1,-1,928885,-1,-1,421115,-1,-1,277145,-1,-1,325956,-1,-1,688010,191021,82156,306755,508487,237741,-1,-1,612508,303546,-1,230904,-1,827041,-1,-1,624485,191298,-1,156429,954646,105945,-1,-1,-1,-1,-1,919953,970151,975372,-1,-1,467548,-1,193120,525489,656233,-1,-1,262330,-1,-1,-1,-1,3621,-1,-1,375509,-1,342144,285471,979447,569750,512999,789293,-1,-1,-1,640850,845570,592856,-1,974428,-1,-1,65436,-1,758377,-1,-1,-1,-1,-1,-1,-1,809504,53106,10840,566853,-1,-1,569695,-1,-1,308807,-1,159388,571969,382186,-1,7266,-1,450030,253347,-1,690329,444704,-1,440823,703238,111262,-1,325496,-1,577161,71250,87343,-1,725591,699752,795878,-1,-1,-1,3846,-1,-1,-1,-1,3277,-1,-1,-1,-1,837578,-1,-1,-1,-1,306050,-1,849651,-1,-1,-1,160948,-1,-1,559809,41416,-1,644831,775741,560532,-1,19313,-1,-1,-1,-1,-1,-1,-1,98963,-1,-1,691471,-1,-1,-1,-1,452209,572838,930792,745728,-1,733640,-1,-1,336423,609326,232144,870204,166571,356490,-1,194780,-1,583247,382776,345977,-1,474069,614414,24683,224065,260675,-1,436156,121783,681790,-1,-1,284393,100001,-1,524002,-1,81618,785485,79599,154646,-1,-1,211897,-1,-1,541801,-1,-1,21922,-1,-1,-1,742396,79288,-1,877384,975544,250548,-1,610175,-1,61238,652858,13294,-1,-1,-1,787868,-1,-1,-1,223087,769682,-1,-1,-1,-1,-1,-1,-1,-1,815528,-1,-1,157826,989472,-1,-1,435459,-1,-1,-1,-1,-1,-1,-1,49459,708167,370800,189012,555374,960408,671052,-1,-1,-1,-1,735082,222348,-1,710396,352583,651724,374158,304516,426230,623085,284398,170132,-1,291950,685275,-1,-1,602881,-1,-1,-1,-1,597857,-1,707202,-1,781095,-1,98601,-1,434233,904935,-1,379129,-1,-1,-1,362641,-1,-1,-1,-1,540619,-1,-1,-1,125399,801044,221600,-1,-1,-1,-1,600050,66694,-1,-1,143101,-1,809663,228474,-1,-1,-1,-1,340866,-1,424331,-1,-1,559489,-1,123291,-1,192461,368635,-1,285439,47479,278170,479974,460219,-1,-1,-1,161962,29339,-1,360769,126912,-1,410040,401261,-1,-1,-1,851435,286180,-1,87060,676778,851978,-1,-1,874376,659495,673469,-1,-1,-1,65598,-1,23919,-1,-1,-1,642280,350111,-1,335524,213969,177756,-1,781082,-1,830895,-1,626103,-1,-1,-1,-1,165360,654062,-1,406856,-1,832913,-1,-1,271699,92113,-1,585540,-1,-1,354094,-1,-1,384242,844230,644887,997855,989439,-1,43259,-1,-1,881767,138977,-1,368112,-1,851572,430204,-1,182646,531525,406779,213880,-1,90397,-1,-1,-1,513524,-1,685602,-1,432978,43135,-1,45350,-1,918204,225210,-1,595567,937202,-1,-1,377636,815122,141838,483010,-1,-1,-1,-1,-1,644717,-1,-1,-1,-1,-1,290780,-1,790868,970926,311313,-1,877699,487643,-1,-1,837612,-1,-1,845691,400490,340120,-1,948796,756838,397516,-1,315558,366826,-1,9271,635352,979007,779651,963153,-1,878891,-1,806168,-1,-1,-1,-1,665443,-1,-1,437798,580945,-1,-1,305441,263107,-1,295942,-1,-1,-1,-1,-1,-1,-1,-1,310998,741132,-1,143238,253836,-1,-1,-1,-1,-1,-1,17174,807893,-1,-1,878134,110976,227744,-1,-1,506259,872616,870888,58431,-1,-1,-1,953070,261079,-1,-1,806291,-1,203524,576599,865053,-1,314719,-1,-1,-1,795944,883271,-1,-1,105447,57266,-1,-1,74551,-1,-1,-1,208052,-1,388257,109611,-1,392920,14806,874348,-1,-1,763280,-1,873923,802344,-1,444493,154069,-1,634901,-1,903402,-1,-1,499883,-1,545757,-1,-1,283946,687420,-1,-1,-1,-1,-1,696568,387885,511514,171085,-1,-1,-1,-1,-1,780756,-1,-1,930716,-1,-1,-1,799948,-1,580839,366506,192610,71206,502289,-1,938846,860338,-1,-1,435644,-1,485082,947382,-1,922042,499274,922247,-1,385769,832136,199971,668499,750884,-1,561526,841237,-1,302045,649104,108967,-1,-1,613222,287180,836508,-1,-1,768561,313862,-1,-1,-1,-1,-1,634275,938655,528946,-1,952731,-1,-1,-1,623337,-1,780338,690050,430703,912764,706025,-1,-1,-1,382105,327720,-1,-1,-1,-1,-1,-1,902731,83780,-1,869527,621025,504553,578933,725972,-1,112084,-1,-1,34238,-1,643995,-1,-1,-1,191082,669218,645407,-1,-1,224688,646024,553775,-1,37263,-1,842744,-1,614445,-1,-1,476600,-1,-1,461617,-1,776377,652421,744017,398206,-1,266832,-1,-1,-1,143162,873764,-1,980969,-1,1025,583961,364307,-1,-1,-1,670793,-1,520359,-1,-1,542340,247998,-1,896387,391891,-1,387493,-1,177949,384191,666822,-1,-1,-1,382123,631192,863197,305438,-1,-1,-1,622243,957425,689502,-1,723581,620951,795219,369986,602755,-1,-1,-1,-1,224393,-1,-1,-1,-1,-1,-1,-1,601608,905499,-1,217017,-1,-1,871883,418616,-1,-1,-1,-1,303652,921198,-1,390996,-1,-1,-1,271978,212538,209336,836543,138771,926069,29020,936958,-1,-1,-1,862406,781360,20608,418733,772527,-1,289369,129961,-1,-1,691444,-1,-1,-1,275692,-1,-1,-1,294526,-1,344094,29430,90712,232584,-1,-1,-1,912715,313569,877610,-1,964723,-1,-1,214102,-1,214172,615304,-1,296469,258689,-1,-1,419681,549699,980296,-1,-1,53629,-1,387233,758564,-1,997964,-1,282098,588940,-1,-1,529409,62830,665184,292590,103959,-1,403579,-1,-1,191785,-1,602084,-1,-1,-1,258366,-1,-1,-1,-1,957941,-1,-1,-1,698705,883445,421886,995911,-1,-1,-1,-1,126368,-1,-1,-1,536063,-1,709866,-1,778968,-1,-1,307341,-1,593388,-1,-1,484003,861159,137997,-1,926042,-1,786386,445954,-1,-1,686850,-1,-1,-1,-1,-1,-1,824245,139534,-1,831244,860408,488474,-1,-1,612967,742119,-1,815321,-1,-1,-1,-1,835624,506203,-1,585740,-1,-1,743903,-1,-1,-1,253129,438626,-1,-1,86364,325880,617675,452060,-1,-1,434275,199165,-1,207188,-1,756785,660642,886719,353864,-1,-1,-1,-1,40454,54147,-1,-1,-1,-1,294612,-1,-1,-1,199071,-1,-1,474130,323900,-1,-1,776473,-1,-1,-1,812959,-1,19346,181666,967296,-1,-1,-1,479797,648072,274366,169000,-1,703742,257436,994823,527467,-1,-1,-1,171102,-1,543255,887451,934054,-1,-1,-1,67423,-1,769204,871800,943480,68795,757731,-1,683394,200509,824468,521988,-1,-1,654165,-1,904422,-1,933148,-1,83755,-1,-1,-1,917938,-1,-1,-1,28876,-1,-1,515199,620941,-1,767198,-1,-1,104801,-1,417784,-1,-1,742905,-1,-1,336463,811563,223227,-1,-1,48653,-1,173106,650948,-1,315485,757040,788772,92530,372851,-1,-1,-1,-1,737824,784555,-1,-1,579341,-1,37483,-1,894505,-1,-1,-1,933060,806501,199436,-1,117325,-1,468518,-1,-1,453425,-1,-1,165478,309805,-1,570463,328046,203734,-1,-1,-1,501419,713962,-1,457631,-1,82890,699876,-1,248125,11868,844974,-1,72106,-1,-1,360179,-1,315436,-1,-1,-1,-1,652509,340670,827599,134913,997089,-1,-1,95842,587711,-1,-1,84929,5606,-1,645277,818920,-1,63805,-1,181693,-1,-1,-1,398029,-1,237961,-1,-1,-1,-1,294183,-1,-1,-1,-1,882817,-1,-1,-1,971728,882131,-1,-1,126320,888107,-1,525810,63636,75326,114424,-1,948033,920977,-1,985161,370364,884530,-1,472040,-1,195315,121981,-1,997930,-1,832726,249488,557708,-1,377904,-1,960156,-1,757407,549506,-1,790099,647759,709086,-1,-1,366195,-1,250835,714484,455670,-1,-1,603080,376652,213383,-1,867974,679087,606497,98604,627018,-1,789271,-1,-1,725487,-1,421145,-1,-1,438348,987119,-1,947591,-1,398388,-1,659398,275320,-1,528079,981948,512986,798761,770649,223903,41973,-1,414419,459745,-1,516818,781842,-1,515208,250600,-1,-1,-1,-1,-1,762601,-1,-1,-1,94587,230031,792137,-1,770210,-1,-1,133016,210664,296692,48485,-1,-1,144389,712197,-1,-1,-1,631236,-1,29673,3632,-1,-1,-1,-1,-1,126109,-1,-1,842235,334188,616012,-1,947698,-1,-1,-1,901068,685024,-1,72441,411911,-1,166160,-1,-1,-1,193091,-1,299546,788377,371839,749117,-1,-1,978472,733398,266981,247742,537632,-1,234276,267376,443953,39038,-1,246038,-1,62409,320208,-1,610967,343404,-1,569184,38517,-1,-1,-1,506168,802178,-1,-1,-1,-1,306457,572515,813174,-1,-1,828551,-1,387737,413935,-1,-1,-1,44914,-1,826518,-1,885440,-1,-1,602401,474500,279088,617329,277203,569871,547642,298926,31200,-1,-1,860135,-1,-1,-1,157687,-1,30369,472209,572393,251732,-1,-1,645005,-1,750242,-1,-1,-1,740294,-1,478594,-1,565230,851497,897580,425944,-1,-1,-1,572068,398687,911355,635914,964801,-1,-1,-1,9303,-1,-1,-1,287291,-1,-1,-1,522552,-1,887410,343514,495498,42764,635162,756030,-1,-1,842762,-1,160943,-1,727503,531186,275343,333861,236792,-1,-1,-1,365968,809133,-1,-1,-1,-1,67153,702705,161823,-1,764672,883662,764787,367203,541731,219891,218100,-1,-1,-1,941361,233355,-1,-1,-1,993788,567261,-1,812504,-1,102030,773398,458998,634044,429571,216312,-1,189332,21209,-1,773417,742178,-1,734841,344901,869882,-1,187470,-1,-1,242743,-1,130611,800987,-1,-1,-1,390112,85512,-1,-1,266139,-1,-1,926858,-1,-1,-1,-1,213823,212054,-1,-1,-1,697507,602165,206728,-1,-1,510007,-1,184102,733034,972148,94314,142297,333045,-1,-1,-1,642112,297886,806544,-1,466644,257550,-1,191910,-1,-1,924182,703003,-1,-1,-1,-1,708864,-1,-1,-1,-1,974289,101743,-1,935324,255946,167471,361668,654807,524351,-1,-1,-1,893897,-1,248325,-1,-1,994913,-1,-1,989700,-1,21495,538920,310217,-1,395489,-1,-1,-1,-1,501480,217260,-1,224493,-1,963175,-1,-1,37457,463034,-1,-1,628905,-1,383194,75294,842460,511939,857032,-1,790636,215465,726490,-1,427706,860326,514804,-1,333962,-1,947670,-1,-1,-1,77096,283432,226893,-1,-1,-1,-1,584917,593619,-1,-1,-1,-1,-1,194031,-1,114446,946719,911695,-1,-1,6684,-1,-1,861883,-1,-1,435527,-1,815852,-1,-1,-1,397850,577953,288853,-1,-1,945466,171252,653197,414881,-1,464238,7049,518209,-1,-1,-1,-1,-1,-1,279505,474185,-1,569102,-1,-1,918780,-1,-1,-1,-1,-1,-1,168236,-1,-1,696849,-1,530302,-1,-1,-1,-1,878267,753934,818570,-1,7254,897016,323269,406368,-1,-1,-1,355001,-1,-1,176343,343080,527242,269860,560163,-1,332452,882450,386212,724979,-1,-1,276448,-1,-1,-1,-1,-1,883784,920162,129181,-1,-1,-1,768423,261903,980361,522598,-1,379444,768748,813776,-1,755610,94430,-1,-1,975333,-1,493987,-1,217553,94401,869351,-1,-1,61934,-1,74959,-1,280322,-1,-1,617437,669166,944541,-1,-1,-1,-1,-1,842981,467964,-1,-1,-1,-1,-1,907118,34537,-1,987562,12679,-1,-1,340666,-1,658063,482696,-1,-1,-1,564523,294773,-1,-1,-1,853782,683889,608813,-1,89037,-1,235250,101486,38134,-1,-1,-1,-1,-1,-1,141740,861459,-1,-1,-1,-1,-1,83394,-1,-1,-1,790895,-1,732328,237735,815139,547523,668406,-1,-1,246218,-1,-1,906604,207440,64071,-1,476343,-1,-1,-1,-1,936050,-1,931052,655853,-1,472793,-1,438515,-1,388120,441044,-1,-1,388588,-1,581563,-1,196384,877788,-1,-1,368769,623974,846896,382898,-1,-1,-1,795809,-1,-1,-1,568285,731328,375978,113702,-1,897304,477034,-1,285393,-1,513939,8966,-1,-1,-1,53074,490094,-1,419119,-1,-1,-1,387686,-1,-1,116788,764950,430281,-1,-1,-1,977003,365641,674659,-1,534243,-1,791293,-1,-1,355962,-1,599372,605678,-1,-1,-1,-1,-1,173451,498815,376565,-1,-1,399067,718492,222006,-1,361836,-1,986222,-1,76363,275509,617176,-1,462282,-1,-1,832517,203221,-1,-1,762342,21719,67804,-1,924165,949946,-1,61214,-1,151663,537711,-1,-1,-1,258408,199121,251434,-1,-1,-1,-1,370924,52015,538679,606097,691112,-1,448837,690628,-1,-1,71328,662589,-1,-1,-1,376606,-1,-1,458656,242693,-1,-1,467398,-1,386832,746355,229297,-1,-1,-1,898911,345770,941838,44390,186338,350516,941003,-1,-1,-1,-1,613169,724109,29158,-1,641123,-1,546067,-1,308127,-1,161326,411035,467003,-1,-1,46748,-1,-1,628321,988339,-1,527592,-1,-1,944461,-1,545619,271052,96433,-1,-1,-1,-1,-1,628250,220510,145709,855427,-1,456145,-1,-1,931232,-1,-1,-1,-1,959377,-1,823277,292869,382012,660154,594832,721128,-1,357601,558097,219368,63896,398699,287136,554208,793820,235047,-1,923585,829402,-1,-1,-1,-1,-1,883998,150174,269748,330528,-1,-1,-1,292818,696160,-1,-1,-1,-1,361217,-1,72222,-1,111563,902199,-1,411874,-1,-1,638338,523977,592305,95046,-1,-1,-1,485752,-1,-1,768266,-1,138795,893556,337481,333820,396865,882469,62705,873914,-1,685542,484917,498802,-1,-1,-1,537347,902866,-1,-1,932652,949106,-1,-1,996925,302035,-1,-1,705709,-1,514397,-1,-1,479861,-1,-1,365506,-1,223310,279575,796621,86213,-1,279790,965702,995694,647106,-1,319010,-1,-1,475860,392214,-1,-1,896649,-1,421409,752017,-1,793086,-1,-1,-1,-1,988259,-1,-1,-1,-1,461181,882234,35960,338976,953866,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,191249,-1,-1,368048,449084,830954,606946,629450,-1,-1,-1,39239,-1,316910,-1,457930,-1,-1,26986,-1,-1,-1,-1,761629,-1,-1,-1,-1,949409,804125,895528,676482,760947,-1,-1,-1,-1,-1,409641,-1,-1,339341,-1,893060,-1,-1,-1,-1,-1,434406,388124,-1,834157,326065,891329,-1,-1,-1,328050,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,45947,528554,43668,-1,-1,145289,-1,-1,530333,410151,-1,-1,-1,-1,781940,-1,875476,114558,-1,958931,-1,-1,293998,201792,-1,-1,-1,418910,-1,9108,477443,989204,-1,-1,-1,989613,199700,215360,-1,936737,-1,153261,-1,-1,765232,449071,-1,500806,335841,414848,-1,-1,-1,980304,-1,-1,-1,307721,344936,785147,764271,93903,-1,-1,179652,838756,710736,-1,-1,417572,-1,-1,522377,-1,-1,-1,378854,205869,-1,-1,-1,-1,795553,-1,-1,610613,175668,922330,215940,-1,84742,-1,467960,-1,-1,-1,801583,495648,250531,406724,648658,-1,-1,-1,-1,227447,210933,421585,-1,-1,992658,-1,463381,-1,468601,937569,-1,-1,-1,-1,55012,925011,-1,467196,154827,61190,4442,744371,-1,588347,-1,-1,168949,340784,-1,293284,-1,589651,-1,-1,95125,509064,-1,-1,-1,-1,38311,-1,715354,701708,528139,383244,-1,432195,-1,-1,52825,753978,-1,-1,-1,-1,663539,-1,204936,-1,88731,-1,-1,403084,306176,-1,459120,-1,978520,-1,355749,-1,525103,224336,-1,-1,-1,325477,-1,178045,-1,-1,-1,-1,405007,814607,678509,-1,255476,869196,350222,84666,-1,399700,-1,-1,-1,-1,-1,-1,-1,418264,-1,428815,-1,490725,-1,-1,-1,783585,483588,335214,490602,999226,-1,-1,-1,-1,-1,62121,226432,-1,-1,435732,-1,938802,476907,-1,294808,-1,33072,-1,549568,949517,74834,-1,572559,-1,418293,971789,811681,-1,294271,761010,41182,125602,687179,820985,581237,539102,71359,-1,731604,-1,552406,937174,-1,828851,724993,-1,568930,-1,241845,-1,127838,132737,492892,-1,260626,-1,312700,35056,695925,-1,-1,-1,990036,-1,-1,-1,-1,348343,218907,-1,-1,124076,-1,-1,-1,502741,399568,763395,964827,-1,-1,-1,743834,-1,194515,242120,-1,686168,692072,845423,-1,137916,-1,-1,837096,531817,969707,-1,525439,233373,-1,727391,-1,-1,531359,-1,-1,536176,984704,-1,41810,-1,-1,509569,-1,243128,-1,-1,185148,-1,-1,163163,444297,342806,912979,-1,870567,-1,-1,558822,626687,-1,333697,-1,769527,995101,-1,853073,-1,504403,323128,444526,-1,288886,30854,939694,439946,-1,-1,47174,401578,-1,-1,-1,222728,863723,51773,809849,742546,296339,-1,823973,-1,-1,12506,464479,357951,-1,220646,756797,-1,-1,-1,-1,10754,75244,913242,-1,92224,734722,539019,-1,688219,452283,972583,289193,-1,-1,-1,633079,858678,-1,340376,595384,307067,170483,-1,-1,-1,375908,-1,-1,436894,-1,-1,-1,886750,273421,-1,756800,45111,828774,-1,-1,-1,-1,275580,340174,-1,232105,-1,899202,-1,-1,-1,540915,661314,-1,-1,88410,905459,628601,253342,182053,-1,-1,-1,654446,-1,-1,152298,-1,-1,947604,949082,998994,499099,413716,21731,746795,-1,656240,-1,737904,-1,-1,256023,-1,-1,-1,88418,-1,39713,979012,-1,152971,-1,334992,-1,-1,950031,306250,317491,323981,-1,-1,69235,-1,-1,114314,-1,410117,-1,156885,473553,906732,-1,656173,389778,10949,-1,343458,5582,38620,490877,347623,887096,-1,-1,234158,886181,-1,-1,-1,-1,302874,893182,-1,406343,325337,705688,364636,-1,503653,-1,556539,600910,919143,684737,52658,-1,-1,-1,-1,247074,557592,-1,-1,-1,321518,-1,-1,320638,413940,754185,-1,489942,359430,555754,113052,-1,-1,652807,-1,-1,-1,-1,911396,-1,-1,817914,-1,420154,-1,600139,-1,661706,843767,873552,671740,-1,871793,-1,446763,-1,-1,147046,501752,911121,203577,-1,932639,-1,-1,-1,100304,356878,-1,-1,-1,-1,898835,-1,-1,-1,470716,140637,-1,-1,-1,527056,-1,602627,-1,-1,-1,286685,-1,159243,-1,704402,-1,-1,893271,672299,44280,-1,-1,882308,370858,-1,-1,27313,414251,-1,-1,-1,-1,563828,345704,304199,656109,296833,271051,664240,-1,-1,720840,-1,629743,203349,984712,505911,375018,-1,-1,723186,710528,721938,-1,922544,720799,516344,296760,-1,-1,394076,-1,-1,745124,46495,91142,-1,677645,-1,-1,-1,-1,710678,-1,357592,950765,-1,61043,62119,284885,-1,15011,222356,265907,922898,-1,-1,343070,-1,-1,-1,-1,490758,-1,39257,-1,957020,389309,405615,64931,-1,310165,-1,-1,697451,372415,-1,-1,-1,-1,-1,648488,-1,676594,509480,473811,-1,-1,386488,-1,-1,59967,256673,-1,170666,-1,637986,409635,-1,-1,846517,-1,-1,123735,611227,-1,-1,488265,-1,758018,646820,99847,-1,994768,335153,-1,473309,819712,-1,-1,584733,-1,7616,-1,-1,-1,-1,396838,89306,-1,-1,441687,172525,-1,782791,-1,-1,-1,-1,-1,-1,-1,-1,323954,968479,740155,966381,876014,-1,-1,311458,-1,-1,808019,84672,491268,-1,-1,-1,-1,166995,-1,-1,-1,-1,-1,539128,70179,-1,912020,-1,707130,-1,181289,233805,-1,-1,55171,-1,788713,858089,494137,947929,343182,-1,798003,182261,79769,25330,-1,-1,-1,-1,-1,776514,-1,-1,575853,764688,-1,-1,767788,887521,-1,-1,-1,-1,-1,-1,-1,714640,-1,-1,26628,-1,-1,-1,547673,988081,-1,-1,110741,-1,531363,392752,-1,-1,485217,-1,-1,648260,-1,-1,-1,-1,881298,861442,-1,-1,-1,-1,899452,121388,304390,438454,-1,-1,939495,361712,-1,795778,-1,320779,474896,-1,-1,488275,201412,-1,645073,777009,819426,116177,-1,770426,125888,209708,362439,-1,415091,-1,113619,642515,-1,-1,-1,244473,773802,903869,927979,-1,91246,-1,95577,-1,335156,297365,632669,10238,-1,602713,473755,-1,423124,570048,267519,600246,-1,469662,609292,-1,-1,-1,-1,736813,-1,116700,373357,-1,220898,-1,-1,145958,-1,-1,603356,-1,-1,194596,-1,484508,20757,-1,156521,448472,-1,817011,-1,115281,-1,424367,770009,-1,-1,-1,98750,-1,-1,-1,-1,-1,-1,867315,426975,558956,652077,361844,-1,-1,129669,-1,457658,-1,917124,-1,636097,-1,-1,449967,177988,324836,12374,-1,263466,663557,178267,123532,-1,-1,-1,-1,613164,177773,638533,-1,-1,-1,401642,-1,-1,159831,843499,-1,739113,-1,-1,177854,-1,580766,971036,-1,-1,299075,624346,70141,-1,249492,-1,-1,-1,962345,-1,-1,-1,779306,672619,-1,-1,162158,-1,828431,-1,-1,470224,228459,445447,-1,-1,-1,-1,-1,-1,134082,572567,573934,-1,-1,653944,82574,556816,-1,756466,637585,423569,217236,185021,927866,948868,-1,111888,759995,-1,-1,-1,-1,843054,611416,249346,807733,993608,-1,897721,-1,897757,403668,878284,-1,746303,-1,-1,65297,-1,-1,994664,-1,-1,916335,-1,-1,754665,-1,565467,535597,-1,562602,55728,29323,189856,-1,-1,-1,220108,-1,-1,-1,955826,-1,-1,-1,107588,639500,126718,-1,65705,-1,298766,-1,280489,-1,807073,62057,957913,512370,355534,-1,715670,734626,919711,341431,-1,-1,-1,-1,33194,-1,-1,-1,-1,724252,-1,571366,741330,-1,224706,-1,694590,466043,-1,33056,753871,-1,-1,992995,660954,789760,19532,901300,98828,-1,-1,-1,-1,470671,-1,-1,-1,587169,803908,-1,290565,-1,205095,-1,-1,330693,-1,328230,-1,-1,-1,930465,636412,415443,-1,-1,356259,115247,-1,-1,-1,-1,187074,-1,-1,-1,360600,899718,-1,582210,672147,-1,791037,-1,-1,428841,216514,-1,-1,662457,-1,-1,655057,850445,-1,514960,804712,961220,-1,-1,420454,352916,-1,438908,-1,706130,770151,-1,-1,-1,771237,-1,960890,-1,-1,569946,316187,-1,955729,106004,981516,-1,119457,-1,-1,37178,-1,160444,-1,196450,-1,-1,-1,362546,-1,334722,632995,-1,883779,-1,-1,-1,-1,120373,201120,-1,-1,248159,858925,855733,871397,-1,133440,979134,-1,682921,-1,-1,-1,960668,860202,-1,-1,-1,-1,-1,866980,-1,456060,-1,990545,-1,-1,-1,489664,580154,676390,-1,629550,290052,-1,532312,-1,504508,34952,659292,-1,-1,-1,10061,394321,-1,127930,658026,829335,179563,-1,627513,-1,192617,10479,-1,479589,590752,-1,520320,-1,-1,-1,-1,517934,-1,840178,509505,92200,240841,63455,619103,-1,-1,253985,377414,515788,958441,-1,339328,-1,603442,-1,206010,3783,-1,-1,189497,50514,-1,955685,-1,789559,-1,-1,-1,-1,843839,-1,-1,938603,925006,-1,252729,-1,342567,-1,-1,-1,-1,279638,421158,415175,-1,168325,-1,-1,620434,-1,414733,-1,592619,-1,496533,-1,939149,-1,-1,-1,871206,442649,-1,-1,138267,-1,-1,906935,449417,-1,-1,-1,725540,-1,178773,-1,-1,306182,-1,829575,158433,773301,279626,-1,-1,-1,994525,-1,79561,-1,796178,-1,-1,458746,240455,-1,52307,280312,797410,409232,433698,607524,308363,-1,331574,-1,291554,-1,278869,32058,-1,-1,358335,-1,608333,299977,-1,-1,163461,473078,77871,-1,-1,-1,56500,468646,-1,615257,698718,548735,-1,564043,90559,974438,-1,111308,-1,783512,-1,832984,562146,-1,765352,-1,126216,185721,332032,-1,-1,270495,-1,-1,595344,610178,-1,387648,-1,-1,167993,-1,-1,-1,-1,-1,295798,340542,500992,629729,-1,-1,767008,908501,120264,-1,-1,-1,-1,-1,-1,293310,-1,-1,387125,-1,-1,531309,287250,-1,-1,-1,-1,-1,299485,-1,656237,252824,555673,521645,-1,419039,-1,502282,301727,611039,-1,914778,-1,468968,-1,63390,484039,981045,-1,757817,-1,295684,401910,-1,656423,517396,900867,-1,132327,262268,-1,-1,-1,204878,-1,-1,346829,134495,721877,352912,893873,763809,-1,706325,-1,-1,257275,329105,-1,-1,-1,-1,277519,925002,110514,-1,784677,214225,-1,52711,402879,351549,516056,-1,86010,-1,997605,-1,484956,-1,-1,-1,-1,-1,786064,489423,-1,-1,-1,799053,-1,245578,-1,-1,907681,844511,-1,224327,49395,830256,401844,-1,-1,415478,-1,417994,69480,-1,-1,-1,-1,-1,-1,-1,108991,-1,-1,-1,209883,-1,-1,-1,-1,809908,717054,20181,-1,-1,-1,598375,963370,464364,161159,-1,-1,381707,-1,159935,478276,134164,661114,-1,484155,547463,728124,880782,294287,58827,-1,-1,579412,-1,-1,-1,18570,-1,606502,-1,218833,-1,550099,-1,-1,648905,711234,68241,407600,-1,-1,-1,801595,280790,-1,-1,283883,-1,211847,-1,-1,-1,-1,482039,-1,298801,818712,50660,-1,813555,-1,-1,-1,-1,-1,792403,-1,-1,-1,-1,56265,-1,556783,-1,78957,468239,875747,-1,532737,-1,-1,85443,831504,727157,862467,449255,-1,968398,-1,-1,-1,-1,874848,-1,-1,-1,562760,-1,-1,-1,822274,-1,-1,-1,-1,303499,-1,-1,735593,265186,329591,-1,-1,-1,676038,312773,-1,758844,-1,842884,506604,-1,479439,828860,-1,-1,-1,-1,-1,-1,93501,154030,-1,903815,115257,848663,-1,633901,441832,634595,607680,-1,58271,-1,-1,-1,408863,467601,412577,-1,-1,-1,358369,744392,-1,-1,-1,797079,-1,253519,-1,944749,703725,383328,-1,438485,103131,-1,50964,-1,-1,409062,757976,-1,-1,-1,-1,-1,728035,924793,610464,-1,118042,-1,-1,-1,-1,485359,135619,-1,848050,-1,-1,944120,394110,-1,-1,-1,47618,-1,380144,828669,-1,-1,432487,240681,941465,246158,913244,-1,-1,-1,-1,410897,199754,-1,-1,813012,677146,704377,91547,135092,-1,557310,441373,-1,14210,-1,78746,-1,-1,-1,103953,-1,886799,985771,988917,-1,-1,-1,501297,814478,-1,-1,-1,-1,-1,823816,811397,128601,-1,-1,-1,-1,-1,-1,775176,-1,-1,-1,-1,-1,232992,786353,965282,-1,-1,-1,469302,-1,255391,-1,461824,-1,-1,806910,-1,283061,874094,-1,515237,-1,173396,473910,-1,109839,971571,-1,-1,435630,269127,628975,155684,962100,321373,-1,-1,-1,-1,583099,905378,-1,772447,352079,256324,-1,811015,-1,-1,584682,404604,689899,-1,938402,-1,-1,901273,-1,-1,366940,-1,986801,490487,150560,141564,-1,-1,-1,540920,14342,-1,853948,-1,-1,618934,487457,833293,821040,817025,-1,-1,-1,492738,-1,-1,520925,-1,-1,-1,999947,756175,925673,875336,761809,781798,-1,-1,-1,932718,-1,-1,775127,653082,-1,-1,18832,-1,-1,647734,-1,-1,-1,127494,378053,523111,8621,-1,-1,811963,-1,-1,-1,-1,208588,-1,961583,-1,269459,376058,-1,-1,185352,870091,-1,773747,-1,915915,-1,-1,666672,506004,411202,88113,-1,871671,944992,654506,407954,-1,835449,-1,-1,156993,-1,-1,-1,-1,-1,-1,-1,186593,747142,776020,970032,-1,290722,330375,-1,-1,885641,-1,-1,29074,84696,-1,-1,331733,-1,-1,409341,-1,-1,446621,-1,-1,851935,-1,550848,587697,542347,-1,406261,93056,-1,-1,-1,465498,-1,-1,-1,933457,450156,-1,-1,-1,-1,651499,347038,451387,-1,381834,-1,-1,161636,575670,-1,-1,-1,-1,538861,42127,-1,629348,-1,371086,852614,-1,247873,-1,687686,309773,-1,-1,300442,-1,226442,-1,-1,450914,-1,441463,-1,301212,323121,446183,714596,964575,-1,-1,772233,-1,-1,823100,-1,431494,-1,106721,988603,867727,-1,-1,856231,356181,939715,88626,338871,523351,97403,-1,652652,-1,-1,-1,-1,-1,-1,502718,-1,-1,-1,635478,-1,58133,170193,365092,665091,4370,-1,-1,-1,494603,724812,-1,896569,-1,-1,280619,791435,-1,-1,921146,-1,401837,-1,81573,-1,-1,-1,645220,-1,-1,386592,188392,404752,-1,-1,625498,688347,101400,637522,-1,542729,-1,-1,359851,-1,929185,61923,-1,-1,-1,-1,131133,-1,-1,947216,-1,-1,-1,472089,-1,-1,5632,-1,-1,888521,-1,-1,255287,654829,781928,968369,516488,-1,-1,444261,-1,534397,-1,-1,-1,-1,-1,-1,417305,-1,819088,964493,-1,799185,-1,316876,94052,-1,626088,682556,-1,-1,542849,883830,714528,-1,481025,217886,-1,484362,-1,847808,164757,874576,578606,-1,34962,-1,-1,-1,69922,431801,779341,519492,-1,526858,468656,-1,-1,836977,-1,895482,522639,-1,313925,-1,-1,-1,98775,-1,-1,348984,524405,-1,-1,-1,-1,85600,-1,-1,-1,881537,-1,-1,-1,492544,957426,-1,823533,-1,-1,609855,-1,986493,592387,-1,-1,-1,527306,-1,490302,-1,-1,-1,156,109517,-1,512369,413493,-1,-1,-1,770068,-1,717160,573003,508415,-1,679574,-1,-1,-1,592675,-1,-1,-1,-1,669142,857298,852658,-1,-1,975931,234020,-1,873832,-1,-1,93541,-1,892844,136491,-1,-1,-1,-1,-1,-1,587203,-1,-1,239125,502188,262668,-1,105343,-1,311163,-1,-1,-1,-1,-1,78787,601368,-1,525908,417094,-1,125185,-1,145624,-1,357626,-1,964463,-1,585180,188853,-1,748296,37216,-1,-1,-1,-1,-1,537397,559175,212822,-1,-1,-1,651677,-1,257289,924892,-1,-1,813864,450216,765641,-1,536110,-1,774349,505560,-1,-1,-1,-1,515096,-1,826075,-1,-1,-1,927990,47508,-1,-1,-1,459728,-1,209230,-1,-1,-1,-1,-1,180192,-1,83845,-1,-1,51269,-1,613285,-1,337001,15932,365081,469827,178017,-1,722252,793842,819352,-1,-1,-1,962606,-1,914601,447051,-1,125175,574932,-1,-1,51343,619301,255489,981932,-1,-1,719186,-1,-1,583757,-1,-1,131672,979046,-1,591765,456392,-1,58124,-1,821533,-1,-1,-1,930924,-1,-1,751198,-1,726846,-1,-1,694676,-1,753581,-1,-1,-1,460529,231551,-1,-1,143432,-1,-1,-1,-1,443625,-1,-1,598635,-1,-1,-1,-1,-1,-1,-1,383512,45677,-1,-1,207403,74422,-1,688712,510573,-1,-1,-1,-1,-1,-1,955113,475622,-1,-1,839167,584606,-1,570708,-1,699254,502776,30693,-1,-1,-1,563403,880466,-1,-1,-1,-1,-1,578729,434001,-1,-1,946207,-1,126307,100520,450088,450850,-1,-1,-1,-1,-1,186763,485200,358512,-1,-1,-1,-1,-1,26650,-1,-1,-1,-1,939265,-1,-1,223803,-1,-1,-1,-1,-1,598710,114748,667504,-1,55594,277868,36800,166513,728116,-1,992688,606783,706171,-1,830239,-1,-1,458664,966436,-1,-1,-1,521456,893437,916711,-1,764436,-1,-1,414728,-1,432233,-1,429303,-1,88451,364096,660742,914836,400313,830390,-1,-1,680331,-1,-1,349188,979398,-1,303839,-1,-1,-1,-1,-1,-1,375220,878926,935537,839967,-1,-1,-1,-1,-1,-1,-1,-1,426887,-1,375944,165744,-1,-1,461514,-1,699364,-1,-1,-1,220964,-1,-1,920747,-1,326585,387742,659877,713269,819655,725944,786464,453263,567709,857066,-1,-1,-1,642278,-1,-1,-1,-1,702793,-1,629781,-1,301703,-1,280401,-1,-1,-1,594965,699624,979386,138259,238809,-1,124079,759578,146435,705772,761057,-1,-1,603286,303593,-1,-1,371631,-1,-1,554514,-1,-1,84756,32258,404416,-1,-1,423495,468010,109798,-1,613296,-1,578282,606720,32176,-1,161602,517234,731934,633818,-1,-1,572935,-1,-1,-1,-1,-1,560061,787072,-1,-1,489782,-1,199298,-1,-1,-1,185130,-1,-1,510088,-1,-1,622710,-1,-1,514454,-1,-1,782273,-1,-1,-1,-1,932916,382392,270976,-1,-1,190571,-1,-1,-1,561494,43435,-1,-1,222915,406696,112519,-1,916722,-1,-1,39093,-1,588679,-1,675614,629408,-1,-1,-1,199616,342713,-1,322764,733468,255199,24095,-1,123074,-1,-1,592569,-1,-1,-1,28479,6279,982071,167556,832060,313511,14250,82056,536180,884768,507760,-1,263946,681781,-1,774916,210751,602149,461799,49662,-1,314623,-1,-1,-1,-1,650263,220900,99872,195475,-1,70696,717978,-1,-1,608034,-1,758941,-1,-1,-1,524043,703069,636662,540285,747848,97134,825599,88554,270872,494581,171902,-1,-1,899658,-1,604025,223638,-1,-1,-1,459521,257802,-1,-1,959319,-1,320125,-1,548406,451212,-1,818847,-1,790406,44205,-1,-1,-1,-1,414490,279245,-1,788685,629621,-1,616702,-1,729388,692316,646015,328392,871751,-1,176505,504722,275015,-1,-1,333323,-1,-1,-1,763029,-1,-1,936572,-1,703065,112120,362398,-1,-1,-1,-1,973136,-1,-1,-1,68132,-1,296703,836754,84492,795923,981302,376587,-1,884306,-1,497841,713707,-1,-1,-1,-1,875986,24299,570517,991654,-1,-1,-1,-1,-1,199112,-1,299827,-1,173526,705089,528768,678259,401132,362808,-1,153219,-1,906132,446362,799521,-1,-1,-1,631914,-1,111011,193069,950188,-1,-1,-1,-1,703386,693351,-1,-1,55378,120289,-1,489161,717571,398102,960183,859616,455038,703438,374848,-1,843777,-1,-1,324009,-1,-1,677258,-1,-1,632279,-1,854231,29391,802621,893416,-1,194910,-1,493049,165324,729166,879706,-1,538956,349758,616081,930753,-1,350593,646118,-1,760071,-1,-1,172632,199592,-1,-1,11368,-1,119324,276116,361770,-1,-1,245802,926415,-1,-1,-1,-1,-1,-1,799010,-1,-1,-1,-1,833209,-1,-1,782159,336655,-1,-1,724001,437403,-1,-1,737119,529417,16544,-1,-1,-1,574062,67832,271933,874864,555126,487975,-1,376541,5834,512489,-1,409873,-1,656809,615679,979304,-1,383725,-1,-1,-1,565814,19621,134427,-1,262189,631643,-1,-1,-1,-1,-1,715980,669271,-1,-1,699246,-1,353248,710306,-1,-1,-1,663248,937722,-1,18441,408718,842258,518074,-1,469064,-1,-1,-1,791280,-1,74668,-1,-1,134312,89461,144632,620210,-1,422390,-1,445945,-1,-1,-1,-1,-1,-1,314587,-1,-1,-1,694293,699201,-1,467167,772928,738157,-1,-1,108798,73471,463884,603125,-1,217826,661836,48423,852181,281236,-1,728857,-1,-1,140620,-1,563463,389529,158028,108949,-1,-1,687429,-1,-1,-1,550070,-1,-1,429891,-1,346700,612270,569568,170192,-1,21740,674058,-1,-1,296669,-1,-1,-1,80701,-1,723195,-1,-1,85805,139884,-1,393963,712697,-1,-1,979936,-1,147826,11871,-1,-1,34120,-1,-1,-1,503316,-1,-1,263927,368941,-1,-1,970525,590856,763317,-1,-1,8501,306156,-1,-1,-1,635856,975074,-1,-1,631752,523963,-1,-1,90688,-1,-1,184349,338073,957007,-1,-1,233616,-1,463843,254003,744459,-1,-1,-1,-1,-1,259046,-1,-1,268742,-1,373988,-1,655521,-1,956353,523815,-1,598184,668424,782445,94715,-1,-1,-1,149593,541495,565625,13316,-1,-1,794006,300429,-1,-1,-1,-1,-1,-1,-1,866629,-1,125236,516226,-1,-1,-1,-1,-1,-1,270064,932743,690223,311403,-1,-1,-1,34061,-1,-1,-1,952829,-1,-1,-1,-1,-1,692976,665506,980957,-1,-1,-1,475452,747015,-1,135556,241503,-1,-1,426830,50282,-1,497897,-1,733416,32042,347540,-1,-1,-1,-1,-1,-1,436637,164990,-1,388707,-1,-1,470160,-1,690302,656795,232695,-1,-1,-1,26822,-1,-1,-1,-1,-1,-1,-1,-1,-1,988061,-1,-1,-1,48087,-1,544391,105673,-1,-1,-1,-1,807972,-1,891068,402126,-1,33604,-1,-1,18121,-1,693324,-1,-1,369910,-1,-1,-1,42672,-1,-1,55071,472600,478666,819636,400116,-1,81389,692237,-1,657262,-1,-1,-1,-1,244778,60770,777202,533116,215537,-1,-1,-1,946792,657887,-1,-1,-1,64366,-1,517665,981739,354348,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,153309,398024,52786,926822,-1,-1,-1,-1,-1,290700,173420,560507,725449,-1,210234,863584,783373,977554,187355,777101,-1,515657,-1,-1,335425,-1,543373,581233,290084,14503,639924,-1,453794,889626,494213,749130,640537,-1,852933,-1,-1,-1,767825,-1,-1,-1,534712,-1,657359,-1,-1,-1,-1,836338,995634,814721,-1,-1,510516,25057,-1,-1,596491,-1,-1,-1,655614,-1,155168,-1,-1,375222,703992,68744,-1,137413,-1,492060,128587,-1,-1,-1,290197,509212,-1,-1,-1,738217,-1,109922,275004,933559,-1,261186,-1,-1,450423,-1,-1,122548,-1,-1,828514,695927,56221,-1,-1,359711,-1,-1,-1,222556,256445,-1,52368,-1,-1,697553,-1,-1,-1,436636,-1,292313,-1,28727,993492,456313,33032,554021,365134,900395,-1,181579,-1,581445,-1,-1,-1,-1,-1,492881,-1,-1,976550,321796,-1,452056,631252,255687,-1,478075,-1,806786,-1,-1,269899,551185,-1,949047,-1,600121,470099,-1,-1,-1,-1,977420,-1,-1,-1,-1,547763,502948,-1,767657,-1,-1,542303,-1,-1,336559,832429,-1,939564,-1,288892,-1,489043,987217,26052,680631,-1,818147,256663,440254,-1,-1,-1,948466,997499,-1,360881,-1,339659,-1,597587,812362,846965,719669,87001,139208,-1,581515,364354,-1,2204,190762,556387,-1,831556,654070,127518,-1,-1,-1,-1,486850,-1,405004,530164,-1,-1,783581,356272,-1,-1,-1,-1,-1,-1,-1,-1,976141,687292,-1,-1,-1,-1,-1,144447,-1,76599,53764,-1,535221,-1,407093,-1,845971,461027,691944,775162,213062,469338,-1,-1,-1,622160,951012,-1,-1,299606,755945,-1,-1,632138,675853,973874,-1,612386,-1,-1,244115,828035,518165,962592,-1,303453,-1,-1,-1,-1,-1,18171,-1,742179,-1,-1,696650,518852,-1,-1,-1,414130,-1,-1,-1,-1,-1,614667,192236,199800,989891,606587,-1,292510,573125,158088,-1,-1,-1,-1,-1,-1,-1,-1,383427,-1,-1,-1,512521,674633,697078,-1,359414,-1,345469,-1,937655,-1,-1,166869,229524,433678,-1,924705,-1,909082,-1,807474,238760,-1,585910,783817,194781,-1,-1,-1,-1,-1,-1,-1,159932,-1,-1,245729,411830,374068,-1,168555,388971,-1,421870,19296,-1,846854,-1,-1,-1,985876,-1,-1,880470,881660,-1,455171,-1,-1,-1,292399,451774,-1,623582,447247,-1,-1,-1,-1,-1,522558,-1,9771,-1,487316,-1,161629,455313,-1,-1,-1,-1,972885,-1,-1,840259,-1,-1,792158,-1,136273,-1,-1,502135,-1,424131,118410,605787,918296,-1,-1,439749,263587,792074,230397,-1,881583,151586,-1,-1,455371,461270,-1,235365,99713,936676,-1,932789,970836,-1,-1,-1,-1,-1,989416,-1,495339,869640,-1,326761,-1,309160,-1,632191,53967,426471,539485,-1,-1,-1,-1,120199,816907,885730,981760,-1,341481,561092,-1,-1,598958,-1,457733,202925,537197,244433,-1,-1,699025,-1,-1,169260,223482,808088,-1,-1,-1,372846,580921,285440,714060,-1,505607,-1,-1,-1,-1,-1,-1,-1,223884,-1,917042,-1,-1,955324,-1,-1,-1,-1,773536,358491,766735,977429,619930,672772,-1,-1,-1,-1,407009,842540,543819,-1,-1,497643,324735,403791,175790,-1,813688,766769,832511,261656,-1,758955,-1,-1,-1,318994,-1,-1,857502,-1,-1,-1,983657,816505,-1,-1,804237,-1,727891,-1,265577,-1,-1,324501,-1,321476,108241,533839,-1,367653,-1,531350,-1,909045,560995,207751,42444,757956,-1,-1,-1,-1,-1,-1,-1,830365,-1,-1,70905,185034,212700,707348,624399,20049,-1,670324,667979,573326,643956,490610,851852,-1,-1,-1,-1,-1,950055,-1,436655,325084,72815,-1,-1,-1,-1,-1,258945,-1,-1,-1,906011,554797,738260,-1,468314,361160,-1,-1,114297,264325,-1,-1,897891,848551,940232,-1,-1,161122,58970,-1,481264,916543,-1,731756,-1,358236,383656,-1,-1,-1,984158,-1,-1,-1,680012,-1,206522,-1,968791,-1,415819,679269,561211,-1,-1,-1,946471,728099,258715,-1,-1,-1,304856,279084,-1,-1,370170,-1,786659,822807,14240,812085,-1,-1,-1,350472,-1,-1,-1,29526,-1,-1,43702,-1,-1,-1,384044,926390,-1,860139,-1,914116,-1,926291,41152,-1,404200,-1,221197,-1,781398,249049,841462,544356,-1,432873,993304,502957,866931,548347,-1,-1,-1,759788,-1,-1,433382,-1,361930,568237,680706,-1,-1,-1,679830,-1,-1,-1,-1,395623,745293,940674,-1,-1,994397,476877,-1,686815,810302,-1,32023,486002,175619,558304,-1,-1,-1,-1,-1,231466,-1,-1,946712,455372,-1,932084,782520,466790,-1,-1,569434,421179,313421,-1,962143,-1,-1,562701,-1,-1,-1,-1,-1,-1,233933,-1,555781,-1,550899,723332,129852,-1,-1,595901,-1,-1,907443,871495,966247,-1,66581,485898,87786,-1,910829,106540,436858,457110,846321,574221,-1,-1,607125,-1,-1,-1,793316,-1,-1,100042,100933,492351,79928,153335,461446,428877,290026,-1,-1,525772,-1,-1,-1,-1,41237,448003,312888,30095,-1,201686,834575,388733,189538,-1,209779,448506,-1,717752,-1,-1,-1,-1,634196,-1,-1,-1,-1,-1,412806,-1,-1,-1,82479,-1,-1,761132,390421,-1,-1,-1,-1,79120,366737,915207,811202,346257,-1,227754,651856,805435,413532,802078,-1,953485,362080,-1,-1,-1,-1,-1,202676,657774,678649,987127,-1,11357,-1,-1,181382,932280,-1,334630,569211,697797,-1,158478,35868,506144,-1,599863,-1,797582,-1,-1,573565,750998,-1,736959,-1,-1,-1,584871,-1,-1,257606,-1,864978,913352,589379,446292,848903,-1,10687,-1,-1,627190,-1,135876,-1,-1,223912,643801,-1,938640,760328,-1,731775,824842,157568,-1,-1,-1,133568,-1,938750,-1,967970,-1,-1,-1,329124,406131,-1,317020,221374,191921,-1,653914,141313,-1,157708,-1,669647,-1,-1,-1,-1,-1,-1,991984,-1,999892,9896,547708,-1,-1,-1,912898,755564,418181,694143,903629,393362,471454,-1,612771,-1,504138,-1,720496,860180,-1,155854,876128,-1,728750,527995,877396,-1,31587,-1,-1,820728,-1,-1,36174,-1,232511,686241,-1,221796,-1,28360,-1,605002,-1,219406,100846,878085,-1,540874,-1,-1,-1,819002,-1,-1,-1,-1,179664,791638,811142,-1,-1,412378,-1,767708,729677,-1,-1,-1,-1,625632,-1,-1,-1,295309,-1,659213,277521,-1,699938,711617,-1,131788,-1,-1,-1,-1,-1,-1,212330,770247,-1,967715,-1,-1,13249,331913,-1,593317,-1,-1,-1,484964,449586,-1,-1,714041,353491,753553,-1,824032,-1,8570,608153,261860,-1,159997,-1,667125,-1,916231,260619,571959,856274,-1,183956,184908,-1,304272,-1,-1,-1,646429,928869,-1,881637,826516,374510,746823,890650,737498,577500,-1,-1,-1,-1,617479,501360,172446,816858,-1,972014,-1,908532,126979,-1,754578,562902,742412,266374,-1,113016,-1,37150,-1,-1,-1,253139,999592,725376,-1,-1,-1,-1,-1,-1,-1,-1,916220,-1,97016,137026,-1,-1,-1,326280,-1,-1,-1,937792,433761,-1,-1,223576,779144,-1,997213,455226,-1,-1,-1,994725,489363,598817,157173,444620,113312,-1,337442,-1,52030,-1,631666,728554,381244,608609,167631,-1,-1,133221,867598,781373,-1,713319,354241,-1,727210,-1,228819,-1,-1,753132,821680,-1,-1,91331,-1,-1,-1,660184,281461,-1,-1,-1,379925,-1,479092,-1,-1,489369,-1,902806,-1,282636,-1,469207,-1,269592,-1,-1,240572,585419,-1,-1,393844,-1,-1,-1,942190,374203,720987,536166,336871,332340,-1,-1,101688,-1,732646,-1,-1,-1,-1,74311,-1,955245,-1,707247,-1,230280,608641,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,78681,346065,945378,-1,-1,398171,-1,-1,972188,876314,788237,379419,881445,-1,-1,135815,966434,-1,869313,-1,-1,526459,-1,-1,148832,-1,905213,649544,-1,490014,343655,624899,43976,-1,-1,-1,-1,-1,-1,-1,-1,812191,-1,-1,-1,-1,253265,575659,517388,182912,-1,-1,-1,-1,-1,-1,-1,503943,-1,97679,362897,-1,394490,-1,-1,-1,-1,-1,-1,-1,-1,268991,-1,912946,-1,632996,-1,-1,146775,-1,307355,620556,-1,-1,703555,929653,349015,-1,-1,-1,-1,615582,148898,-1,194854,119352,-1,333764,40966,-1,61357,-1,426062,-1,-1,293489,-1,-1,-1,-1,355596,-1,-1,-1,196299,77419,104955,933223,273334,561573,271566,-1,898859,-1,-1,872184,-1,43622,704061,682466,-1,-1,-1,155239,-1,-1,-1,736619,-1,973955,895155,-1,210483,-1,600071,-1,358697,525698,-1,-1,603749,373023,-1,-1,-1,683241,-1,13714,-1,-1,62458,-1,477160,372096,-1,893544,-1,555438,565437,828427,-1,857576,-1,-1,-1,955847,-1,439760,539307,-1,-1,146409,681324,-1,-1,-1,356690,-1,-1,-1,-1,-1,-1,-1,926225,476754,42000,-1,-1,-1,841150,-1,-1,-1,894557,298169,565380,897262,292655,490814,23591,-1,115242,-1,-1,-1,685345,641485,-1,662572,-1,716410,436002,604549,-1,11673,-1,-1,186413,925754,-1,-1,292579,942189,-1,-1,-1,-1,-1,-1,-1,969568,-1,810106,-1,206973,-1,-1,-1,455067,-1,-1,-1,-1,-1,-1,436231,918617,633323,126818,154916,172489,925775,-1,908740,689103,332194,152796,856929,-1,-1,742040,321627,-1,678515,543082,-1,-1,341486,-1,280551,96459,-1,-1,-1,591766,802553,-1,-1,-1,847647,577809,-1,-1,-1,557632,-1,232606,107412,-1,947741,257845,36285,687721,790549,437227,-1,52018,212606,-1,-1,-1,-1,-1,359484,778622,233826,962993,703437,-1,-1,293972,-1,-1,-1,399072,34405,-1,596970,234500,817410,796603,-1,-1,875764,-1,519005,-1,-1,817334,-1,-1,441838,987515,236401,-1,-1,325440,707061,-1,309499,237674,98172,439124,-1,901712,-1,605076,115163,-1,-1,349239,431002,-1,-1,-1,191165,105887,-1,471750,-1,-1,757088,630845,-1,-1,-1,785073,-1,440919,578078,551278,806097,937182,267351,109675,513619,591086,-1,-1,-1,-1,764925,340024,-1,-1,939881,-1,-1,172515,-1,569376,147941,138891,-1,-1,-1,-1,-1,-1,-1,300274,909416,596032,365822,-1,503380,-1,-1,889036,-1,981731,236259,640633,765889,-1,453065,-1,825945,895613,-1,709375,-1,602430,-1,998899,779601,75540,-1,885087,566266,-1,-1,-1,228964,-1,-1,450964,-1,433281,-1,507117,520979,14078,-1,-1,-1,-1,883933,-1,848015,365570,-1,990156,-1,-1,-1,-1,-1,-1,14220,-1,-1,-1,-1,498627,-1,-1,-1,-1,361981,847906,-1,-1,188683,623321,430459,-1,-1,347376,288038,-1,544276,815004,518451,337802,193880,-1,767627,-1,916792,-1,-1,28188,375920,894131,-1,822542,605060,-1,906546,346320,-1,-1,-1,44383,-1,-1,888883,378064,-1,364869,-1,-1,-1,930072,-1,-1,-1,-1,752508,167191,-1,-1,382223,25373,682616,-1,-1,436015,121631,265168,453235,-1,-1,-1,-1,278103,261127,580566,104043,-1,718130,478221,105611,-1,-1,-1,-1,975936,-1,247943,981651,-1,-1,434782,308161,292193,586474,-1,635581,-1,-1,590595,-1,-1,625090,940959,-1,108921,-1,612077,-1,124210,-1,-1,-1,-1,-1,946592,938676,833083,-1,801471,-1,-1,970747,613579,507400,894993,696164,-1,-1,632540,178749,630142,162289,-1,-1,-1,-1,-1,676972,363141,-1,-1,334363,576882,-1,954608,-1,394166,212705,448821,-1,387056,-1,602342,200462,613615,586361,770609,122367,-1,553456,-1,572182,934005,-1,-1,-1,747343,294979,580308,121210,-1,-1,670912,-1,467440,429881,735504,-1,-1,-1,-1,101970,52227,621188,-1,-1,717899,-1,370923,780022,60897,81388,812561,-1,585500,364974,280824,-1,-1,-1,972808,-1,553361,503229,269890,703985,-1,154615,-1,-1,255335,527762,-1,18235,-1,-1,735300,749562,-1,234752,76988,-1,-1,281930,-1,199729,-1,-1,-1,816588,856353,69800,73322,-1,-1,217244,-1,-1,-1,131385,-1,-1,571912,-1,-1,-1,668233,419277,286920,111387,176465,159943,574770,-1,-1,590335,-1,295839,487420,160145,919920,-1,-1,764160,395861,981798,-1,-1,-1,-1,-1,405409,-1,383446,576264,985732,-1,-1,934807,902555,385893,338168,-1,-1,-1,261715,-1,-1,350701,-1,614729,-1,-1,250296,253122,-1,330098,-1,222806,-1,-1,-1,-1,-1,68742,958510,-1,-1,599206,-1,-1,689255,-1,782039,758256,-1,-1,117994,605844,654293,561001,-1,-1,245867,-1,664229,-1,-1,328887,482240,-1,-1,-1,-1,-1,-1,-1,266232,589503,239516,958640,-1,-1,-1,495503,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,249422,-1,-1,-1,608231,-1,977751,-1,4122,722418,25296,-1,-1,-1,256699,314232,43427,397518,328443,-1,-1,522176,-1,-1,-1,167977,341443,42958,-1,880386,123141,-1,830409,-1,535812,804842,-1,263227,999110,375212,250224,622079,834383,-1,-1,-1,583491,-1,68259,69966,992081,710835,355191,-1,-1,-1,-1,201937,627644,930556,554145,-1,463605,-1,455091,-1,-1,-1,-1,148185,860758,-1,-1,-1,-1,302802,458467,-1,-1,259581,784701,-1,-1,-1,251149,-1,555984,387205,666185,356500,-1,756272,-1,63757,-1,-1,-1,973272,-1,57115,-1,-1,91214,636355,-1,282149,-1,-1,-1,115255,462707,461096,155004,716766,-1,-1,-1,-1,-1,-1,177230,-1,811725,316865,-1,-1,-1,164859,475238,-1,-1,-1,-1,670854,-1,891941,-1,-1,663780,-1,270174,-1,-1,-1,32823,-1,936033,334222,-1,-1,484630,417383,-1,-1,71426,107862,-1,403980,-1,-1,-1,402095,-1,-1,155516,-1,749170,272249,-1,181187,571240,-1,489837,-1,-1,821491,555354,278829,-1,-1,250422,140828,-1,236261,107327,-1,-1,751184,-1,887832,-1,562343,260779,-1,-1,717810,490799,-1,-1,505894,-1,353129,-1,-1,897987,-1,28086,646768,805889,618374,164838,90039,-1,-1,-1,362463,-1,597237,-1,-1,-1,-1,47660,-1,363543,246970,-1,-1,-1,494931,-1,-1,-1,-1,854645,846349,120686,47503,-1,724641,874373,333493,-1,251025,-1,-1,589935,927020,-1,147015,-1,806424,-1,-1,-1,-1,329372,387793,-1,187954,740689,-1,-1,-1,54995,-1,838136,687760,-1,992172,-1,406076,715425,-1,-1,918081,554177,-1,-1,938920,-1,860794,701640,-1,11186,491032,556279,637087,694660,630927,675326,665959,-1,-1,762154,-1,-1,768213,211470,-1,-1,617596,-1,-1,-1,-1,951008,954891,649088,261747,494563,44715,-1,888738,-1,-1,485737,-1,-1,-1,478789,301803,672290,-1,839823,492212,408592,-1,-1,-1,811518,695975,604529,620392,-1,-1,-1,258960,603575,-1,-1,-1,726725,41348,-1,-1,800323,203110,262402,358765,-1,897132,-1,-1,786815,295291,246264,79929,-1,575433,681962,-1,-1,756416,-1,-1,160579,503483,-1,578467,-1,-1,67076,284767,-1,-1,768660,443745,199209,-1,159541,-1,-1,652619,600271,-1,898583,575241,-1,-1,921848,-1,-1,-1,-1,-1,-1,-1,-1,224200,51315,616460,-1,368029,-1,345498,374847,553069,-1,-1,400595,771976,-1,363457,-1,-1,-1,463974,590373,-1,640535,-1,-1,208134,-1,144040,282593,869622,-1,-1,859402,-1,-1,603940,560759,-1,-1,16827,-1,844716,448447,-1,-1,758875,729667,733300,619827,446772,917363,492541,-1,74186,42792,949981,-1,-1,357298,-1,-1,343877,650181,-1,-1,458312,954453,469330,94988,940334,254546,-1,411770,523191,479762,599955,-1,-1,-1,-1,-1,-1,-1,-1,964453,354734,12335,-1,-1,585534,-1,-1,-1,869971,-1,93231,-1,-1,469393,-1,698306,-1,930139,-1,502173,49867,-1,-1,885694,-1,300406,363512,-1,-1,-1,113385,-1,-1,-1,-1,-1,414154,723123,-1,-1,317154,-1,891541,-1,904193,-1,746185,706930,291814,-1,-1,-1,772045,-1,-1,-1,882929,170453,573242,288147,-1,909064,-1,397414,-1,-1,803046,-1,461679,221083,-1,104869,711516,-1,-1,-1,-1,-1,105091,688296,-1,757090,-1,964235,48523,494443,696961,892768,281467,-1,-1,431486,479528,757257,304156,926781,173013,-1,47175,919617,-1,589782,-1,806351,387033,736417,3871,975252,106635,321639,-1,915902,263349,-1,-1,-1,286798,405624,-1,-1,-1,-1,301592,-1,373254,-1,680032,68243,-1,181640,-1,-1,546706,-1,199927,-1,-1,-1,736147,136734,-1,-1,446819,-1,399896,450214,-1,-1,-1,117927,309455,-1,-1,-1,527193,89055,-1,-1,-1,-1,643552,564985,-1,-1,45400,-1,652190,347154,-1,301986,82498,568601,-1,-1,-1,705982,-1,-1,944869,-1,493107,-1,-1,975827,371854,-1,165711,282835,656680,506065,-1,721099,-1,-1,-1,640815,-1,145874,-1,-1,-1,53985,708678,-1,-1,790905,-1,-1,-1,630401,-1,-1,-1,-1,143746,616637,718855,336113,-1,-1,63281,916707,137243,-1,-1,-1,556838,-1,800481,-1,-1,-1,-1,-1,-1,-1,188292,111280,-1,-1,-1,539478,-1,-1,-1,-1,806655,-1,978604,-1,-1,560917,380114,-1,-1,232791,540830,-1,-1,-1,-1,474673,510856,-1,-1,-1,-1,-1,-1,848823,-1,655012,-1,-1,-1,538184,-1,-1,-1,-1,329517,-1,147402,-1,28515,449690,599146,-1,74230,922212,-1,361527,-1,388276,943263,701696,-1,-1,290999,-1,660681,-1,796672,696416,920308,9200,-1,155750,124072,-1,-1,-1,-1,524504,-1,222557,-1,-1,487362,585074,-1,939502,956736,-1,-1,19893,43617,-1,-1,743701,-1,-1,724058,-1,925170,-1,-1,-1,-1,677521,-1,909524,-1,652444,-1,-1,-1,110655,951202,-1,539550,864594,-1,-1,9238,-1,-1,-1,-1,-1,-1,566651,-1,14813,519684,-1,20182,64272,287080,-1,885346,578843,-1,195663,-1,296996,-1,880348,596699,-1,678516,77989,-1,-1,-1,-1,603504,-1,-1,-1,-1,-1,844829,680930,-1,-1,1390,-1,-1,327802,-1,-1,-1,-1,-1,772080,-1,-1,215326,755540,76054,927237,691054,-1,598313,-1,652482,490092,928028,-1,-1,-1,-1,709463,-1,380355,-1,-1,636262,386152,327228,-1,-1,-1,828756,299112,976579,374617,753850,447592,267,-1,-1,844672,-1,-1,-1,42594,867269,-1,-1,531017,992242,-1,-1,-1,73778,846602,-1,344741,-1,836532,863172,-1,-1,308799,-1,-1,-1,-1,-1,853233,-1,55423,-1,-1,907769,926624,-1,71191,-1,-1,-1,34248,-1,459269,632400,-1,-1,-1,181555,212631,631020,-1,-1,-1,-1,876467,-1,166259,621245,-1,841409,608483,-1,309437,-1,-1,839081,-1,675978,583366,909142,-1,-1,-1,-1,-1,-1,567797,447953,161240,6858,-1,996040,-1,149265,-1,-1,-1,-1,-1,-1,-1,618037,746775,99235,-1,375006,937539,-1,-1,-1,-1,726767,475858,-1,-1,-1,-1,-1,-1,3265,-1,501826,641560,528201,401945,939805,-1,-1,771406,42587,-1,765141,-1,-1,-1,-1,-1,63824,-1,-1,818451,-1,999342,458321,-1,826308,-1,3720,686568,-1,-1,739656,130379,-1,983435,-1,-1,-1,379513,-1,-1,-1,59788,497446,190336,164299,221417,39179,268487,-1,-1,-1,-1,888853,202108,167734,-1,-1,663991,471632,-1,-1,-1,-1,-1,741041,756085,892901,953273,-1,-1,521587,488370,984757,-1,-1,669970,52079,-1,-1,-1,818024,-1,-1,28679,-1,-1,444419,-1,612724,112223,646556,268458,630397,542561,-1,23770,-1,743890,328322,739819,905287,939461,-1,-1,814820,-1,583853,496338,163314,218192,-1,-1,988294,284965,-1,725367,542063,-1,-1,-1,-1,537440,-1,835740,-1,-1,-1,263191,439975,228711,-1,-1,-1,992598,-1,-1,-1,771128,-1,-1,-1,222214,-1,-1,-1,-1,-1,469697,998502,165728,-1,-1,328233,470663,-1,618399,-1,-1,92734,-1,-1,-1,954146,-1,-1,452006,-1,99431,510035,306372,286871,931931,280829,-1,-1,361359,-1,-1,147674,-1,-1,-1,-1,31804,737001,136324,409473,813765,889480,-1,761782,417105,407471,45989,876931,-1,-1,827561,-1,-1,655131,524799,-1,-1,-1,513259,608788,-1,-1,314471,-1,-1,-1,-1,944358,-1,806556,344586,535125,-1,761492,154788,-1,896608,-1,-1,158390,48296,-1,-1,-1,157141,-1,820548,-1,-1,709540,630291,-1,597490,-1,478381,-1,-1,-1,-1,-1,350092,-1,102439,364459,-1,-1,-1,782029,-1,442734,347226,149797,755588,-1,-1,574108,987089,-1,-1,-1,1785,964756,20091,67212,-1,342268,402326,425798,200065,-1,-1,-1,224560,-1,-1,991225,-1,-1,-1,47910,-1,-1,779275,-1,-1,-1,27458,-1,677624,-1,92206,732620,384820,423323,20801,346806,229247,-1,106242,20518,-1,-1,-1,-1,928671,-1,-1,199046,-1,226987,85258,-1,-1,548150,519083,-1,-1,519243,981084,-1,-1,905532,400526,380726,-1,294958,-1,145978,-1,-1,944015,-1,-1,856613,461939,221822,944980,264933,-1,749996,-1,-1,-1,695239,-1,-1,-1,619747,629331,751748,581723,266977,-1,-1,353415,-1,107066,-1,495364,488069,-1,-1,-1,-1,663810,-1,581129,-1,541934,-1,-1,-1,707617,-1,-1,-1,77193,71348,-1,776690,-1,795582,930398,61047,517513,-1,95584,571021,-1,45436,966081,71152,77251,364473,-1,558927,355158,-1,941229,159957,843505,76572,-1,702767,-1,996514,-1,173461,76890,-1,-1,-1,764347,-1,246518,-1,-1,-1,930442,580199,361760,978780,-1,-1,-1,730202,-1,896293,-1,472819,-1,-1,-1,419729,-1,456036,-1,695379,-1,-1,-1,970684,134407,-1,-1,947576,442891,-1,-1,885394,55444,-1,316797,680254,980599,-1,824860,-1,386584,-1,-1,-1,-1,-1,399825,-1,640960,727119,977753,53408,486275,427990,252854,417984,178975,440130,-1,714937,85329,-1,-1,570380,882279,-1,693179,987524,431786,-1,351224,-1,628814,677095,-1,25779,-1,364905,878050,433050,191036,-1,-1,-1,675275,753488,428442,555897,975311,-1,-1,792319,585234,7519,-1,389808,964399,-1,444716,53661,344719,306873,168137,886952,-1,118856,-1,776925,618989,-1,248337,812523,802767,-1,-1,-1,648676,893560,-1,100025,-1,30522,-1,203964,-1,133719,490628,-1,-1,394830,529429,894796,327815,291144,508419,463535,-1,-1,767253,-1,-1,-1,283087,983612,-1,706048,-1,-1,-1,207937,204394,187282,-1,352289,-1,555050,512457,-1,-1,-1,-1,23125,716518,-1,765340,-1,37081,376715,874624,-1,-1,-1,215934,-1,-1,969121,261969,-1,207239,507365,589349,-1,-1,-1,-1,795394,-1,825447,589416,-1,924311,-1,-1,-1,415428,719062,122731,-1,-1,729746,727031,-1,305904,660257,-1,657470,-1,-1,734471,376308,23613,956052,730455,-1,685352,606441,-1,-1,375290,-1,-1,-1,-1,-1,739991,-1,785004,-1,-1,-1,894100,631278,-1,-1,324061,685851,752269,-1,484562,214786,-1,395176,-1,-1,864746,739195,449507,929407,862370,34861,122992,937935,254061,874455,-1,93359,-1,-1,605936,976955,724055,274151,395840,-1,664632,519633,-1,-1,-1,814085,781476,107408,362063,-1,106509,144969,-1,598585,769985,177416,-1,747094,-1,142306,-1,-1,-1,696263,28497,604497,991880,-1,22027,-1,-1,723298,-1,-1,-1,-1,148297,592991,-1,-1,-1,133659,311171,697114,605685,-1,308480,730825,-1,320461,726062,-1,31711,917775,-1,-1,-1,132263,795924,585880,648354,-1,162118,-1,516266,955137,-1,-1,630679,-1,217050,402574,834547,723154,-1,-1,-1,542559,-1,182572,-1,-1,532053,915382,432120,-1,505761,-1,775296,274454,344842,449104,-1,424375,-1,759815,-1,-1,459664,896552,-1,286232,189556,958008,-1,-1,-1,576041,174095,-1,-1,-1,86331,834069,798214,-1,253308,-1,-1,-1,150024,-1,782237,126920,-1,182151,447164,806360,-1,604695,889984,556677,311874,145416,-1,187727,-1,372112,-1,189549,416914,739136,-1,-1,809362,-1,-1,274348,801009,2060,107993,392502,-1,-1,-1,449200,490483,404015,352334,-1,313253,585885,550711,761745,-1,116051,-1,348697,-1,874359,-1,12856,-1,464648,-1,-1,-1,-1,-1,-1,-1,555248,951234,-1,570550,-1,-1,970800,799958,162378,-1,360925,659468,-1,-1,623722,-1,-1,-1,797204,523938,725640,-1,931541,976221,436572,155604,-1,-1,611681,777767,-1,-1,601738,-1,313355,-1,-1,513124,-1,202814,-1,809188,357799,466784,-1,605719,-1,373916,-1,485478,7280,-1,244004,570974,-1,-1,-1,-1,386079,497024,586395,617632,-1,933139,-1,-1,355387,849690,341193,-1,213340,-1,-1,-1,-1,933998,333806,-1,-1,829264,144890,455134,252499,-1,-1,287988,866188,-1,847384,401425,-1,-1,539062,-1,-1,966084,112761,-1,101356,-1,508404,-1,371291,539992,75470,-1,470188,-1,550144,766688,-1,-1,-1,-1,-1,710412,962804,72610,-1,-1,537078,727484,-1,-1,-1,-1,-1,451122,245081,534885,436138,-1,-1,-1,-1,-1,794025,989745,938286,-1,492239,-1,-1,-1,-1,401769,198540,-1,-1,429095,380316,-1,94781,953403,948727,-1,378360,-1,-1,644959,124474,262460,-1,-1,931094,-1,176136,-1,-1,569074,688128,216497,-1,-1,-1,629058,-1,189616,973920,-1,981065,477244,-1,-1,117954,597144,-1,-1,-1,986360,-1,-1,-1,-1,-1,-1,-1,-1,-1,318240,-1,518258,-1,-1,380260,97378,598963,327476,-1,872382,-1,253287,-1,706802,276377,-1,-1,4883,376816,-1,613993,-1,400042,-1,831063,-1,-1,624970,974511,-1,722581,675586,-1,103992,695273,-1,-1,-1,-1,454142,-1,364833,318692,761290,750064,474062,-1,-1,821963,-1,149814,482998,-1,-1,366201,-1,744509,-1,454985,909105,156118,-1,642002,108477,70114,643421,718356,-1,445067,-1,773358,454442,605760,-1,-1,963580,-1,177708,-1,550689,609585,-1,175708,-1,-1,-1,261995,136704,-1,638661,-1,874315,568133,469976,-1,-1,796787,602477,2108,-1,171481,152088,-1,265353,327628,95966,222695,-1,-1,-1,-1,940087,918492,-1,398107,-1,893618,479334,449595,-1,-1,-1,-1,-1,-1,527315,475585,-1,-1,-1,-1,-1,-1,150875,740723,403900,409025,-1,766979,974035,898914,343145,-1,956566,516037,983993,-1,27780,-1,972316,-1,-1,895645,-1,588392,248672,-1,-1,-1,-1,-1,432146,813209,-1,805956,642954,-1,-1,-1,-1,599756,-1,839571,-1,388552,-1,782705,-1,-1,-1,687828,326045,501870,-1,395873,-1,356026,390777,52785,-1,-1,-1,750895,-1,-1,717145,116851,91921,-1,-1,658894,-1,-1,308634,362429,-1,318612,143355,994666,161736,925182,131663,972686,-1,744255,-1,123701,183200,-1,-1,290033,223977,-1,954906,-1,63731,-1,414702,261010,918269,941056,-1,-1,367515,98962,-1,793025,817944,-1,13331,-1,-1,517146,533044,-1,-1,814793,-1,844278,606259,-1,-1,-1,843832,231860,290702,-1,440120,-1,19457,-1,-1,-1,790526,-1,781268,-1,-1,250535,808065,-1,-1,383109,-1,243707,715071,876191,-1,186637,827347,92940,973161,-1,703278,-1,-1,-1,-1,995059,231152,72896,239499,502027,-1,-1,-1,-1,349528,780788,-1,-1,816522,-1,319053,722815,-1,-1,-1,550202,-1,311721,186812,-1,-1,-1,308089,833831,-1,-1,424708,837937,404758,311683,921962,514367,-1,-1,-1,110407,-1,-1,-1,388507,-1,-1,-1,212337,-1,896217,130115,-1,848325,-1,870988,836012,997147,99057,-1,-1,-1,637477,133034,-1,795556,409964,-1,-1,994521,357669,580325,641375,-1,-1,-1,-1,452865,842163,-1,807235,682224,-1,616773,-1,-1,432785,245006,41006,-1,866897,871755,595433,-1,-1,-1,-1,-1,-1,683271,-1,658198,232058,-1,-1,-1,-1,612071,-1,973936,774448,136020,-1,-1,372366,698869,-1,-1,-1,-1,-1,-1,435862,38666,942912,-1,-1,-1,-1,-1,-1,700664,-1,824469,82683,-1,-1,-1,-1,981989,-1,228595,367838,866508,633292,-1,980222,550194,-1,633827,62436,-1,-1,-1,780445,-1,-1,-1,-1,-1,-1,433575,-1,769406,-1,444299,-1,767849,-1,703763,369789,-1,-1,114286,515616,-1,118686,-1,226796,754512,813441,-1,-1,54573,991455,-1,618938,-1,189953,658148,-1,-1,-1,530700,660735,-1,401874,-1,264737,-1,889787,484248,301406,-1,994524,-1,491178,422622,530399,-1,-1,596021,681684,-1,-1,-1,387986,528361,-1,-1,922694,628143,473884,757788,624069,-1,750116,885517,-1,260546,-1,-1,-1,872716,-1,285550,779184,-1,539017,-1,-1,-1,-1,-1,826893,-1,-1,283792,-1,-1,330079,-1,969740,-1,49483,-1,346695,276783,831294,916680,-1,-1,-1,178117,318531,897708,373716,870836,8342,-1,-1,-1,365241,-1,417424,120610,20249,-1,-1,-1,327187,694451,-1,509041,404406,-1,641155,351612,382796,530871,-1,889727,-1,305518,948263,-1,742491,831278,882746,-1,685898,-1,-1,527391,-1,601338,-1,307153,50515,-1,4394,-1,255342,-1,279677,834952,-1,720093,95245,-1,60807,368887,132649,-1,731182,-1,285964,29428,233955,-1,878725,-1,726512,-1,-1,10863,145144,633,324158,-1,-1,-1,-1,769159,827994,-1,66923,207518,-1,914317,922003,-1,325021,-1,-1,295565,473467,279838,641553,-1,-1,-1,198973,-1,937999,5066,153074,102274,-1,514046,-1,663755,-1,-1,-1,-1,-1,939140,261499,104186,-1,39403,595547,758701,689515,991908,935786,-1,-1,-1,-1,-1,-1,244013,934797,-1,497966,548673,899717,-1,-1,940172,211497,-1,-1,223085,-1,983818,-1,-1,-1,-1,-1,498581,154849,997468,-1,-1,-1,-1,-1,-1,-1,89550,315395,269188,-1,659664,62045,797030,186449,134273,-1,-1,-1,791404,543327,-1,-1,-1,466193,866705,864495,1444,-1,-1,445558,947596,917652,998108,27635,179675,-1,87959,790061,-1,400803,852759,48896,696711,918813,-1,303254,-1,-1,-1,116460,158001,-1,-1,342113,-1,-1,-1,243332,496051,-1,-1,907543,2892,-1,321807,-1,-1,701651,-1,903422,-1,-1,734435,-1,274612,616676,843380,680948,-1,935210,295589,853020,-1,656222,-1,-1,674700,569740,438112,-1,203128,-1,-1,71678,956330,-1,578651,16314,358622,691251,-1,-1,746342,875297,637226,-1,-1,-1,399621,-1,-1,648578,316739,273796,725576,-1,-1,295252,890482,-1,-1,303933,-1,-1,191383,-1,762678,125632,406198,-1,-1,-1,505270,115186,-1,16296,808035,-1,-1,88353,944372,-1,845849,262174,-1,-1,-1,93302,301829,309724,-1,377270,-1,43858,-1,220115,967180,457741,433540,-1,-1,-1,195895,306741,-1,972699,-1,238229,530428,-1,188262,788505,-1,-1,-1,626169,75833,94114,743995,-1,-1,263162,-1,-1,-1,-1,977568,950907,200875,905910,-1,-1,-1,493431,798511,736138,434743,922612,642644,-1,-1,-1,-1,-1,371063,493360,79615,551882,39132,-1,57257,-1,833486,-1,-1,-1,765840,-1,-1,-1,-1,41633,901450,-1,947394,-1,951986,-1,-1,751420,180816,411817,268622,-1,-1,-1,-1,195401,859965,-1,46492,271115,305677,-1,-1,526991,-1,-1,-1,-1,885109,336593,786646,-1,-1,-1,177012,959553,-1,-1,547644,321148,-1,-1,754284,-1,-1,-1,296959,-1,-1,-1,-1,-1,923776,-1,-1,-1,639459,498748,-1,108957,-1,866367,-1,56652,-1,-1,-1,787608,308655,-1,210068,231043,-1,388677,818219,-1,32407,-1,952275,-1,669369,-1,786719,321231,5809,5035,416015,-1,494225,623742,-1,-1,801216,325906,163170,-1,-1,908724,-1,-1,436955,-1,772300,181223,242240,-1,-1,438288,242682,-1,232821,276092,785943,-1,-1,445300,498252,-1,-1,737837,-1,695655,-1,-1,577093,283679,323462,241944,712626,163410,-1,-1,-1,-1,-1,-1,-1,509472,-1,952766,125309,890996,-1,664085,198190,180729,-1,372711,-1,335189,-1,39518,-1,-1,-1,-1,543079,-1,-1,591314,-1,970900,798576,866,175489,740260,897100,75205,358611,-1,-1,487177,693152,-1,-1,693498,-1,470796,613171,-1,-1,-1,60596,-1,620101,979029,19387,-1,579909,-1,-1,622128,-1,724805,96565,-1,-1,-1,470063,-1,289130,-1,973347,238277,588924,-1,-1,766004,564745,112470,-1,523638,616653,-1,630153,176988,-1,-1,-1,835751,-1,-1,-1,-1,-1,-1,-1,396845,-1,-1,974284,785621,982787,-1,-1,-1,212314,381305,-1,-1,563211,-1,96112,140310,-1,-1,46560,-1,-1,764742,544993,-1,781707,754836,-1,442686,879184,-1,-1,-1,60935,-1,-1,289777,559909,-1,968853,862172,-1,-1,-1,-1,791630,-1,35272,-1,178278,-1,-1,-1,-1,-1,-1,-1,-1,835855,-1,-1,-1,-1,394349,-1,-1,764370,-1,-1,-1,-1,701473,497919,776174,-1,536386,-1,-1,-1,659245,134610,131908,-1,-1,-1,-1,-1,350462,-1,474197,-1,791076,327638,108917,-1,156089,-1,644601,293265,648946,-1,-1,39954,669162,-1,-1,559508,534286,-1,910180,-1,401494,729313,51131,500795,742463,230490,-1,471511,-1,-1,-1,899153,108042,-1,-1,36482,-1,-1,-1,-1,-1,287755,245055,135772,475441,10688,944949,716790,-1,-1,-1,588153,214042,969951,192186,-1,594445,-1,-1,259411,633545,-1,-1,-1,733313,774178,255040,-1,677943,-1,266927,700748,-1,919090,274462,-1,13412,146288,346149,676891,403938,-1,796554,-1,139762,-1,-1,789682,-1,49427,337295,-1,-1,799397,-1,596153,-1,-1,211865,-1,-1,-1,-1,-1,-1,385924,364445,-1,-1,784160,-1,-1,-1,474809,-1,-1,524364,796263,521115,-1,218132,-1,20848,394033,545569,876164,-1,-1,-1,848939,-1,-1,786545,-1,-1,794669,-1,46213,904599,784181,-1,-1,725552,346472,19677,-1,-1,638393,-1,-1,-1,-1,884308,678462,351670,296440,-1,-1,51618,-1,817738,445294,-1,931201,33650,27890,363281,-1,-1,249369,-1,-1,794808,-1,154188,874794,391016,238788,-1,-1,129046,614685,-1,148917,-1,340276,-1,-1,499718,357354,-1,-1,182024,304752,-1,-1,-1,914970,-1,-1,394170,-1,-1,162576,203900,853558,-1,445586,-1,509609,-1,327862,-1,805380,-1,-1,-1,479576,-1,-1,-1,589600,-1,838978,-1,-1,134203,-1,783986,174796,779383,615561,136150,105188,-1,28602,633597,314633,-1,833682,-1,-1,-1,-1,-1,815329,474843,-1,-1,-1,633904,-1,-1,304731,55688,-1,566210,-1,-1,353667,-1,680676,680637,-1,-1,-1,-1,-1,889691,573851,-1,-1,-1,880986,47990,-1,-1,496629,-1,723392,870080,285410,-1,-1,928675,689764,134127,918444,-1,-1,-1,-1,-1,-1,-1,-1,602448,-1,597996,423676,-1,922881,484977,-1,895575,964962,-1,-1,750059,546511,670693,498245,-1,620124,-1,820716,685206,700570,-1,780637,-1,-1,-1,-1,-1,-1,278334,880695,488145,480335,-1,353287,307069,-1,-1,310082,981365,955107,-1,234874,713055,-1,-1,214732,292090,781599,781718,852957,516139,703836,-1,-1,890,-1,-1,896515,-1,380720,743418,24258,345648,-1,637543,14348,-1,952616,-1,-1,575671,487688,-1,686361,-1,678547,130606,-1,-1,-1,677913,-1,-1,-1,468984,673675,-1,-1,914137,-1,-1,-1,180797,416851,779604,-1,637211,885424,522393,454613,-1,-1,438128,-1,-1,-1,937310,-1,-1,497723,81983,-1,567555,-1,-1,-1,845355,893580,-1,-1,190806,-1,-1,976352,-1,-1,261786,-1,-1,-1,470337,-1,-1,170704,-1,754898,517859,-1,160910,-1,-1,-1,20340,835616,-1,-1,970414,-1,-1,-1,989810,294264,-1,31370,889507,562360,574560,90925,-1,366048,-1,480943,907739,847185,-1,-1,-1,-1,-1,140214,165630,949310,-1,544031,-1,-1,-1,-1,806007,-1,41102,326576,82210,49954,-1,138536,-1,-1,681305,-1,477737,242744,768013,360681,877633,760975,-1,171878,382056,-1,-1,-1,-1,-1,-1,-1,391527,440070,-1,-1,960462,943558,628856,215710,-1,-1,669111,638774,-1,906900,-1,392376,-1,-1,600968,-1,-1,864988,700734,721827,-1,-1,39025,-1,592278,824996,-1,-1,770747,494664,76317,147432,227006,-1,342675,-1,-1,136984,556306,214508,-1,829336,-1,309041,875806,258101,629645,-1,913716,372768,-1,-1,258666,95187,-1,-1,905925,-1,-1,810487,530643,182334,654758,-1,295314,346959,630402,413362,139028,196965,626958,95208,-1,442312,-1,676335,-1,-1,-1,-1,-1,-1,-1,96308,149308,722226,-1,-1,-1,-1,-1,657377,-1,-1,-1,117475,328778,456937,51689,185259,-1,507072,534763,-1,586819,469501,602060,472748,336222,266090,8191,647946,416483,780677,91136,-1,204416,900189,-1,-1,-1,147349,-1,-1,-1,308538,-1,-1,559788,-1,-1,615538,265595,743387,440202,380857,-1,-1,910648,521983,-1,-1,248451,-1,-1,935927,-1,-1,-1,-1,-1,734719,-1,-1,751677,326283,489939,808056,865472,879070,-1,-1,322769,-1,231359,-1,98113,-1,-1,-1,504306,-1,-1,131466,836633,-1,-1,-1,-1,564363,-1,772568,684472,785081,-1,-1,-1,-1,421617,-1,-1,-1,38845,576282,-1,-1,781564,437190,-1,-1,-1,789325,874226,960305,-1,-1,895087,-1,-1,-1,51859,-1,377116,-1,370189,-1,594636,597376,224612,-1,645700,575740,308377,760484,-1,-1,743696,-1,523584,-1,-1,-1,-1,-1,-1,-1,279824,-1,698907,368858,940528,-1,38838,805172,-1,-1,-1,681053,-1,186891,-1,-1,547887,-1,-1,-1,-1,180414,830670,721686,-1,-1,-1,-1,-1,-1,-1,-1,-1,599098,-1,163776,-1,834846,444090,-1,-1,-1,-1,-1,334116,-1,826717,470601,887634,-1,36916,-1,-1,147517,251520,567896,-1,-1,741620,507338,-1,796041,-1,-1,-1,216058,-1,-1,-1,455577,-1,-1,-1,618663,459440,-1,769109,-1,725977,-1,-1,-1,727674,206589,354450,-1,-1,-1,649998,-1,530103,839816,475883,-1,565117,351044,-1,397228,-1,-1,-1,137102,398801,-1,175939,330571,-1,-1,929651,-1,-1,-1,469056,834759,120423,128066,-1,20892,182198,302737,24054,-1,576779,614263,732070,362859,-1,754899,-1,450180,-1,-1,828721,-1,-1,-1,639460,165421,-1,840636,521969,-1,-1,-1,-1,713652,52207,-1,311261,395597,673875,317733,296933,-1,-1,675330,497944,419930,-1,-1,402788,-1,258551,713812,319779,763715,-1,96384,-1,-1,-1,-1,-1,-1,543061,76391,207451,-1,-1,-1,-1,-1,337547,236562,510089,569036,18479,603818,597698,386279,-1,-1,441835,-1,-1,-1,186401,-1,-1,-1,219095,892876,606120,-1,-1,105690,214138,-1,523561,581164,701880,146246,-1,815639,506378,-1,676143,847731,-1,66842,-1,-1,-1,841108,990116,-1,-1,-1,-1,585828,-1,280262,-1,-1,850754,-1,-1,879522,-1,682585,528666,-1,746995,-1,-1,129102,317506,419758,-1,-1,-1,816490,-1,323437,360426,969409,-1,479773,7445,463256,-1,-1,140484,-1,552952,-1,16254,-1,-1,101566,757782,-1,-1,536010,-1,-1,491022,957912,772049,12670,725588,363474,942877,-1,-1,469974,142137,-1,-1,-1,-1,-1,562627,693533,739308,163858,-1,-1,342088,-1,-1,-1,16933,-1,-1,-1,842746,-1,-1,103661,606291,518885,-1,872995,677169,-1,-1,-1,240251,814528,-1,-1,-1,-1,-1,-1,868936,-1,-1,997347,-1,312083,-1,-1,974292,-1,863248,803464,-1,-1,-1,588581,464922,-1,-1,-1,523343,-1,333637,-1,354444,957404,-1,872457,-1,956746,237076,153197,-1,-1,-1,704839,-1,266813,128389,537274,-1,-1,87399,864880,222118,552823,-1,-1,802933,844382,-1,-1,659927,722187,555134,48351,719688,84368,850764,177282,-1,557101,-1,527796,501309,173098,-1,-1,284528,-1,943496,-1,755794,764357,-1,-1,178710,-1,-1,-1,903515,325762,-1,889075,486055,-1,199617,921005,-1,-1,280674,-1,462188,841939,-1,851116,-1,-1,-1,-1,104683,311099,-1,702250,561929,405994,-1,-1,493774,473677,-1,-1,-1,-1,-1,-1,755947,474244,-1,-1,84808,914528,300783,-1,-1,-1,-1,-1,-1,722037,887774,-1,221945,-1,-1,-1,371169,178314,88543,-1,417377,199934,-1,718068,700113,845795,-1,-1,523002,875534,-1,9937,-1,-1,580465,908121,-1,-1,895062,-1,-1,-1,663442,-1,-1,-1,-1,526608,566191,-1,-1,-1,337951,-1,-1,-1,143376,468282,-1,6406,463847,-1,-1,13113,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,245652,383086,799356,-1,-1,332493,691080,891733,964338,416187,-1,-1,-1,-1,-1,357793,964228,281742,723327,-1,-1,702880,469178,-1,569455,636696,-1,307158,-1,422123,981277,-1,134421,-1,26700,-1,-1,-1,103928,-1,290459,-1,-1,476002,566092,760424,852733,838123,-1,-1,-1,582998,-1,883878,-1,-1,998278,-1,-1,449128,573572,-1,5055,939793,161423,-1,-1,950138,869644,-1,-1,-1,147495,-1,-1,314255,-1,262100,-1,-1,567484,-1,208026,-1,-1,-1,-1,889001,-1,890150,680770,97897,247294,-1,-1,-1,906972,-1,298454,946933,378379,-1,-1,881162,147540,241733,430333,661805,422553,-1,-1,875130,-1,721467,-1,107702,494969,659010,-1,-1,363561,-1,579568,437255,637838,874690,929301,262920,959009,-1,54550,452235,-1,744997,-1,-1,-1,266539,919232,-1,555761,976108,-1,-1,178643,489717,-1,-1,124084,-1,193923,-1,696440,803317,-1,207005,206467,556551,-1,865924,917300,-1,710042,-1,-1,504226,705650,115805,332148,-1,271530,135497,947580,245428,-1,-1,946123,-1,645291,929077,-1,302400,122552,808773,-1,426427,174468,-1,-1,-1,-1,636733,716174,-1,-1,771076,-1,-1,-1,-1,-1,-1,-1,-1,269577,-1,-1,820030,-1,37078,-1,835172,-1,-1,419026,345237,946484,-1,-1,-1,-1,39087,-1,-1,-1,244617,-1,-1,-1,-1,-1,-1,-1,-1,875144,-1,823552,789439,991037,995327,-1,304295,46147,-1,-1,-1,-1,206793,882201,405750,134219,421477,610884,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,51727,608776,-1,598904,-1,-1,-1,-1,-1,943252,215783,145236,-1,-1,473495,164377,-1,-1,-1,-1,-1,990087,407539,-1,58848,-1,-1,-1,-1,364044,312964,-1,-1,815385,-1,955231,547420,-1,99450,17757,-1,-1,-1,706449,797073,-1,-1,722655,342345,12420,-1,347681,-1,-1,-1,-1,248556,760738,514468,-1,-1,507227,499161,624844,-1,28425,760851,579873,-1,356293,907888,-1,339967,846185,997023,454141,-1,595236,-1,-1,-1,-1,786086,-1,722495,-1,299371,-1,-1,-1,-1,-1,-1,-1,800436,852909,200209,31266,468033,507154,516654,-1,674226,945690,932736,-1,348452,-1,-1,141876,-1,561094,-1,728949,263629,-1,533534,-1,-1,-1,824409,-1,897620,-1,-1,524940,-1,-1,420359,-1,655065,-1,784019,483654,970727,-1,527781,923011,-1,-1,-1,-1,-1,-1,841478,-1,901056,97021,-1,595401,-1,-1,325719,890611,-1,-1,403569,140460,129828,-1,-1,-1,335064,-1,895327,-1,340843,87656,172950,420124,-1,498729,599223,-1,-1,909047,600880,888699,52465,-1,-1,-1,577501,24704,621736,-1,578939,-1,538616,916848,652461,714660,421644,80319,-1,979480,-1,-1,664559,-1,-1,135048,-1,877418,425367,-1,-1,-1,856146,-1,382339,236687,188700,907844,-1,-1,-1,680697,647612,-1,-1,-1,-1,693077,857300,283265,806273,840279,-1,-1,-1,-1,-1,-1,-1,487163,-1,-1,-1,-1,-1,569059,494063,-1,-1,-1,-1,-1,868601,-1,978716,495662,49712,893821,-1,-1,-1,-1,-1,-1,710139,-1,87543,-1,180609,830666,914845,985289,-1,729191,-1,-1,-1,-1,849737,-1,133130,428196,-1,190579,584091,-1,-1,-1,276000,-1,-1,364951,-1,669873,414366,-1,-1,713436,87921,-1,-1,154103,-1,-1,68861,-1,252212,111730,609051,901828,-1,-1,-1,-1,780703,-1,817485,337359,199022,319949,-1,456143,42039,763554,248621,-1,-1,654466,-1,374640,36065,299162,682340,344531,685992,365406,261576,-1,-1,783930,361107,875817,770133,502490,-1,950194,-1,-1,-1,-1,216997,-1,307412,-1,70211,-1,-1,340854,569135,659716,-1,-1,472476,-1,-1,460910,69033,-1,750727,222411,-1,-1,113717,-1,-1,18223,-1,300364,-1,913737,399649,960350,-1,785616,158626,-1,100653,389,515352,731750,-1,-1,138784,-1,-1,363458,205495,768956,258956,-1,16355,299084,558834,-1,-1,917980,853341,822724,655595,-1,614954,425721,-1,427680,517419,219598,-1,154345,539557,-1,170000,-1,-1,-1,576315,892670,-1,37594,331207,-1,-1,-1,-1,-1,589365,-1,-1,-1,560643,-1,-1,-1,900615,489518,363722,499186,784262,541098,538338,922783,-1,960390,-1,416699,284234,14054,427246,80666,-1,-1,108726,-1,-1,-1,354413,652936,-1,-1,-1,-1,-1,-1,636766,96103,-1,-1,-1,232638,-1,98250,-1,381614,808712,-1,-1,248570,-1,805979,-1,284262,948998,925327,-1,168850,-1,-1,-1,920700,720817,78888,-1,711309,-1,-1,-1,-1,257897,-1,-1,461351,-1,90133,957838,530264,551788,899573,-1,660071,-1,311337,588663,-1,-1,-1,273604,-1,565500,989069,-1,-1,-1,-1,910035,-1,-1,631077,497346,-1,816778,347916,-1,-1,-1,490441,-1,-1,113281,306200,599710,494833,-1,-1,-1,276128,-1,814278,-1,-1,-1,-1,-1,254600,-1,123712,672822,903072,206190,938074,-1,-1,69305,794023,-1,-1,-1,-1,-1,81241,-1,690037,20316,175301,-1,443333,-1,805755,-1,-1,122277,881339,-1,652113,352059,24492,-1,115314,-1,-1,-1,-1,-1,8311,-1,-1,-1,-1,-1,543707,-1,-1,301469,-1,-1,-1,81418,941624,567404,111334,183461,-1,59922,314194,331740,332329,-1,772529,37673,-1,-1,-1,408246,-1,572375,754703,-1,65487,-1,-1,-1,365862,207506,342284,-1,579181,-1,-1,-1,39527,814761,-1,902696,50198,683870,468288,458669,-1,425007,326357,180062,125526,444178,-1,-1,-1,-1,-1,-1,917197,64614,-1,556042,169627,-1,596065,441254,-1,868752,-1,94208,-1,-1,-1,236099,276598,-1,-1,494948,-1,869262,-1,-1,387065,197830,390917,14010,529205,538912,-1,83300,457377,555196,-1,634871,-1,-1,995740,655550,95838,239439,-1,-1,578450,668473,-1,960051,-1,585568,-1,-1,511056,638942,852410,-1,-1,636051,88678,-1,-1,-1,-1,-1,-1,420725,-1,-1,-1,432200,-1,402117,-1,-1,-1,-1,617931,392452,-1,-1,218975,-1,173491,-1,715030,290251,114501,605813,872957,171236,-1,-1,578719,-1,-1,311656,-1,268807,-1,-1,496330,388639,-1,514564,-1,497658,-1,-1,-1,-1,679636,545519,-1,163999,-1,-1,-1,335240,322625,-1,-1,672203,572003,508636,-1,511533,-1,119160,907511,67434,506851,221942,630598,-1,221536,-1,-1,-1,422372,977906,768082,698622,-1,475849,-1,-1,807429,-1,203851,-1,-1,240497,53034,-1,-1,659995,-1,-1,281655,267724,-1,-1,643943,-1,894780,23651,387470,817066,-1,771777,-1,838608,-1,-1,-1,-1,-1,20101,-1,592612,840672,274133,992848,-1,587068,-1,-1,241370,661767,152296,-1,-1,793043,-1,-1,303828,-1,-1,-1,-1,646525,-1,-1,974650,-1,-1,175200,612894,-1,898812,-1,-1,-1,-1,-1,328606,132650,79925,-1,891042,-1,977343,-1,-1,-1,-1,267362,463751,-1,-1,-1,-1,544481,89925,840962,835270,-1,-1,583735,397869,-1,-1,774972,-1,223946,-1,319083,-1,-1,-1,-1,-1,-1,-1,-1,387873,-1,-1,-1,-1,453357,220279,-1,-1,-1,543674,-1,226414,665258,-1,-1,-1,-1,-1,-1,-1,934880,-1,302578,-1,-1,208491,-1,-1,-1,14200,431723,460415,-1,-1,82640,453174,143485,-1,-1,312895,840474,595299,454925,301956,909015,775656,165562,926109,-1,-1,167577,165976,457081,-1,877721,-1,-1,-1,137945,867914,-1,500431,-1,-1,617594,200891,-1,447969,-1,844348,-1,-1,-1,-1,692691,633031,-1,-1,838926,110489,605717,-1,-1,-1,-1,-1,-1,54956,182633,-1,-1,805724,-1,-1,-1,733032,-1,850481,314044,-1,226818,663247,-1,34028,994126,-1,957247,233835,444991,781572,-1,-1,-1,513992,119456,-1,832927,-1,-1,-1,852386,413224,353035,-1,91421,233709,280419,-1,-1,923133,892282,-1,212527,-1,-1,-1,-1,-1,-1,-1,825615,11903,393877,-1,-1,241333,-1,662984,714607,-1,286560,-1,268661,263444,-1,97501,216275,715439,862851,-1,-1,110640,-1,615017,-1,456169,381761,273360,-1,677981,701634,-1,935913,-1,638114,19918,230672,991017,564834,405349,-1,467559,-1,503352,-1,-1,143219,350694,-1,359128,-1,423356,903213,-1,-1,-1,-1,702735,228061,113567,275226,115190,-1,483574,-1,-1,176388,-1,-1,798286,637382,-1,-1,461067,376088,774571,-1,-1,164658,648158,-1,-1,287609,236451,-1,-1,900165,-1,-1,800035,602897,438646,242108,677199,558063,864025,316413,784623,-1,-1,-1,-1,170918,-1,-1,66453,-1,758956,-1,537544,766294,718141,981893,696310,-1,-1,-1,801761,-1,-1,-1,-1,-1,157100,-1,760906,164769,591278,92836,948438,748071,-1,1214,-1,808374,915835,-1,-1,-1,-1,276822,-1,401983,345002,93906,-1,469801,898957,-1,-1,-1,-1,888433,667123,-1,166955,-1,-1,784351,434215,287800,-1,-1,-1,-1,-1,988022,-1,-1,368257,245990,102064,138217,-1,-1,751067,482127,-1,387888,-1,90409,-1,297809,-1,-1,-1,-1,-1,682237,666366,666148,527126,-1,535858,801841,-1,315473,835436,15948,-1,-1,-1,705988,-1,783586,117588,83781,196703,26772,-1,812161,131897,706681,-1,866886,756556,699522,405590,347877,26997,-1,-1,367877,991638,388559,-1,476203,134953,216956,489260,424697,-1,-1,-1,-1,260022,79318,-1,-1,604474,579080,-1,-1,-1,-1,493831,161874,-1,-1,745525,-1,-1,-1,586584,552797,431366,77414,-1,-1,413033,279383,-1,-1,344684,178755,417531,-1,984166,995010,245035,720756,85052,-1,138882,-1,252947,745144,152643,231951,-1,267311,562155,338780,-1,-1,-1,222829,69371,617194,-1,53875,-1,16821,-1,-1,-1,-1,-1,428722,329773,810584,-1,265901,-1,588114,-1,-1,-1,-1,-1,-1,-1,548721,221688,-1,499548,-1,-1,-1,851692,-1,381077,-1,-1,-1,-1,-1,644111,366804,16777,983561,342007,-1,998729,424451,813675,199510,95303,-1,-1,538786,-1,-1,-1,161163,907575,307759,804260,759577,653686,-1,-1,-1,-1,-1,871872,-1,-1,-1,185828,141907,442358,-1,17468,467278,455737,-1,77192,739311,-1,39836,679449,779403,897809,-1,348306,-1,-1,-1,409550,408879,-1,147035,623774,-1,953417,69289,460527,-1,-1,191951,593194,848979,-1,-1,182298,1846,98500,-1,-1,-1,-1,-1,724129,575182,-1,-1,-1,-1,-1,-1,512564,-1,846227,143682,364874,970035,101069,-1,-1,441306,-1,-1,489666,762073,-1,-1,476216,74581,-1,13755,319105,422133,-1,666761,-1,837833,164694,523358,834638,-1,-1,195823,-1,286419,-1,578520,-1,-1,221499,272282,-1,-1,451524,-1,-1,-1,-1,-1,96942,664125,577615,-1,-1,-1,-1,-1,-1,178145,964360,-1,645134,596382,619663,-1,47856,533568,-1,-1,-1,-1,750670,2366,177943,-1,-1,-1,667015,409597,851736,655919,911492,-1,649349,712670,903854,246317,14493,-1,417425,-1,553240,153937,-1,-1,82895,-1,-1,787115,284858,813219,659483,906294,725474,-1,10524,778497,23368,-1,-1,-1,235052,-1,466195,838402,953681,434365,-1,481167,802899,-1,899473,662434,-1,-1,859785,959533,133724,791797,699694,-1,-1,-1,43785,-1,-1,-1,-1,984217,183755,280566,-1,-1,-1,87576,591214,-1,-1,756279,659886,-1,-1,-1,54766,-1,570931,-1,-1,421505,-1,-1,-1,161654,843502,444972,365304,164412,506462,842630,-1,-1,-1,139889,597600,-1,232278,-1,604649,-1,677946,-1,-1,269628,672436,212440,350886,-1,749597,616150,-1,-1,-1,-1,-1,736781,-1,669518,406363,-1,-1,-1,177252,-1,-1,-1,425701,508657,-1,-1,215216,187922,396056,-1,-1,625516,980998,-1,853316,-1,-1,954715,830232,-1,857553,676012,506000,645025,38892,302047,-1,527338,20375,-1,137150,256221,-1,156823,-1,-1,-1,-1,-1,405340,-1,-1,-1,156636,861785,-1,425672,-1,859824,-1,-1,-1,-1,-1,-1,-1,548943,886217,885711,-1,-1,-1,-1,742953,-1,50248,-1,-1,-1,81507,-1,-1,-1,676269,-1,352933,464753,-1,992161,564435,-1,974891,440412,-1,459937,-1,-1,232530,-1,-1,575789,-1,-1,-1,61533,-1,726732,240802,-1,-1,-1,-1,-1,985300,-1,-1,-1,660474,-1,240674,462312,306728,-1,434485,248387,775566,-1,-1,575767,392447,325396,-1,106583,-1,71547,926050,-1,-1,842289,-1,-1,263109,-1,484047,236713,-1,-1,-1,815558,-1,-1,-1,103570,180197,-1,-1,-1,836150,-1,823741,691537,-1,464097,-1,832681,-1,-1,801475,-1,915003,-1,-1,197398,-1,790021,174858,-1,68359,926068,-1,-1,307514,17360,-1,615958,449755,789774,-1,144977,989499,867657,-1,-1,465893,484499,-1,473784,-1,178903,-1,455320,274081,-1,592993,942875,4346,-1,635367,-1,69077,775119,82223,278903,976227,-1,-1,-1,317351,-1,134514,-1,-1,-1,501180,518073,785614,-1,857570,-1,15507,-1,896318,-1,441715,762001,936619,279473,36698,586901,612156,979735,289308,120326,-1,-1,-1,860881,-1,-1,-1,-1,728179,966971,527915,991203,956635,-1,-1,860686,773018,-1,954830,939474,-1,-1,688395,39105,-1,844403,-1,800347,-1,888128,-1,846186,788187,-1,-1,8636,-1,-1,331168,85384,215451,-1,-1,68879,-1,-1,669722,751535,-1,627357,-1,-1,753481,-1,-1,-1,-1,-1,-1,103697,432851,803142,43781,-1,-1,822046,463682,-1,-1,-1,-1,-1,392118,-1,-1,-1,728082,-1,-1,-1,945112,333339,-1,-1,-1,765336,170461,302102,-1,112524,-1,877488,168760,28340,-1,-1,-1,-1,583255,666756,-1,-1,-1,-1,-1,456535,603586,294080,768679,759091,142017,-1,343038,-1,-1,-1,-1,-1,572524,-1,-1,-1,739100,-1,-1,115139,-1,-1,-1,-1,232185,-1,132478,822492,430779,672274,-1,-1,-1,-1,177601,375196,887083,46591,-1,-1,-1,943979,550217,-1,-1,-1,-1,406610,-1,35917,699634,953200,-1,-1,-1,950456,131933,-1,-1,777611,267974,-1,182935,303415,-1,-1,226624,-1,636563,770099,-1,-1,-1,199471,412273,316160,829799,669981,-1,-1,140870,964380,-1,-1,202066,-1,144906,-1,-1,-1,848975,319416,-1,-1,9913,246434,920425,621479,-1,-1,-1,-1,-1,-1,-1,-1,-1,473196,-1,-1,-1,12454,565363,669611,-1,-1,-1,-1,-1,-1,197532,411886,364348,380489,417204,270063,113369,148469,782034,563803,950335,-1,-1,-1,-1,-1,-1,930468,410212,-1,-1,889138,637116,-1,-1,-1,-1,416969,-1,-1,141492,160953,-1,-1,158411,620950,397214,888062,542301,7568,-1,415572,-1,-1,955242,-1,-1,-1,-1,400399,632621,-1,843905,423813,-1,935565,-1,797877,589607,-1,186525,280296,-1,-1,-1,-1,-1,155566,341897,365508,-1,-1,-1,-1,-1,525056,142122,-1,-1,915241,-1,-1,521356,746178,734149,801043,591244,-1,698002,-1,141296,218924,718412,57093,101555,-1,-1,-1,102798,-1,314425,498483,438612,-1,317856,849032,-1,-1,59315,-1,-1,-1,-1,653974,-1,-1,-1,439423,958606,-1,980589,312553,746642,-1,-1,-1,101315,181208,15779,273434,-1,-1,641472,750551,-1,-1,-1,-1,-1,422292,-1,457911,-1,-1,-1,750928,173621,997121,-1,-1,940290,-1,-1,-1,636759,-1,-1,-1,943350,-1,889755,693673,-1,865209,-1,51988,509152,-1,160215,-1,-1,379216,120744,275194,93936,-1,390732,-1,-1,126098,198623,-1,-1,973294,-1,202047,289334,696385,105273,871042,-1,557025,-1,101936,-1,-1,-1,734578,470885,662593,864966,157005,954241,-1,-1,125273,-1,-1,-1,-1,545643,-1,-1,350592,874769,-1,595845,670161,25172,110242,8920,-1,-1,-1,-1,646690,-1,384616,-1,-1,-1,-1,-1,51743,454647,-1,-1,565190,693671,-1,-1,961660,-1,-1,882159,882851,-1,567078,-1,-1,-1,81164,-1,377938,-1,-1,-1,-1,659793,-1,-1,-1,-1,105770,-1,464264,-1,189319,45102,955679,-1,360672,-1,352518,146925,788322,-1,365652,335818,-1,775896,-1,-1,-1,342821,-1,593291,786355,-1,338233,-1,441329,82296,671544,-1,-1,-1,304621,-1,115358,-1,731224,945832,358554,-1,-1,229289,-1,-1,-1,20128,789814,-1,767841,-1,-1,-1,-1,-1,-1,742982,661011,-1,-1,170933,462599,604178,-1,192169,962755,-1,278524,429122,814038,-1,-1,186802,-1,76625,-1,-1,-1,966659,519256,-1,-1,776332,834333,-1,613520,797200,630368,-1,599939,-1,-1,474435,289035,41369,-1,-1,298442,-1,257269,-1,284730,310143,-1,-1,-1,150216,-1,820911,-1,-1,-1,-1,183030,875886,131685,149289,680827,173295,-1,-1,-1,208202,-1,93607,864927,596006,242863,-1,573672,97668,-1,722727,444369,-1,242465,434675,-1,777708,510356,99488,565497,-1,404968,337108,-1,-1,-1,589582,-1,521982,-1,491057,-1,81169,-1,320005,449788,-1,-1,-1,-1,263669,72792,-1,576678,637287,461461,675929,-1,650257,934901,531331,-1,153101,909839,137864,203319,-1,950695,-1,-1,838376,536777,-1,-1,137489,386958,76061,-1,-1,-1,59600,196689,-1,-1,-1,917435,572289,-1,-1,926328,347480,-1,716488,173057,-1,-1,401427,-1,-1,13817,-1,-1,-1,-1,989119,-1,-1,-1,781864,-1,-1,442199,-1,987115,215538,-1,-1,268261,134999,614959,-1,2417,-1,-1,-1,627061,995682,-1,-1,-1,-1,-1,193764,-1,923435,681149,-1,791420,-1,-1,-1,-1,823846,-1,364491,-1,-1,-1,69623,442875,-1,-1,244462,-1,559807,-1,-1,-1,-1,170181,-1,969687,-1,187731,-1,441222,-1,-1,637091,568366,987008,-1,-1,18072,-1,565587,-1,-1,-1,970864,286605,-1,966861,-1,-1,568798,575456,-1,-1,516368,-1,972636,284171,357092,126439,151493,-1,150021,-1,-1,-1,880601,-1,-1,456873,898692,336002,427433,484983,445380,-1,-1,493821,721042,391192,650679,803223,355959,754704,163374,627417,825262,55196,-1,120033,743064,-1,-1,782824,-1,-1,-1,-1,443977,962616,581093,-1,106081,-1,963325,-1,-1,-1,117830,971313,-1,460869,-1,-1,748777,640893,412517,-1,-1,-1,559464,-1,484974,828987,-1,809371,416195,-1,740853,488351,-1,-1,-1,373844,-1,-1,814153,442660,-1,765227,874697,614920,-1,705771,-1,805648,82622,146016,-1,49289,-1,-1,-1,639075,461605,722224,-1,-1,-1,-1,-1,-1,530580,911201,802969,-1,378878,912027,524068,-1,781912,768198,832172,-1,904415,-1,368061,-1,-1,771227,-1,211230,-1,-1,903083,153879,650195,881529,-1,69391,844392,-1,226040,-1,896091,489188,960075,22308,440697,-1,341876,811031,-1,-1,-1,343449,316882,-1,200269,-1,499710,534156,-1,251815,-1,24428,-1,575402,-1,206495,124349,-1,722452,615180,-1,-1,-1,-1,789523,274395,495395,-1,-1,214602,987492,554570,-1,624348,950431,490690,-1,-1,-1,-1,90336,-1,626159,-1,-1,53131,829315,854544,38886,-1,-1,-1,-1,-1,945508,-1,540075,766227,90675,759383,-1,-1,325314,243568,-1,-1,-1,99811,626350,-1,237683,-1,965041,-1,277033,201325,-1,517267,745207,308070,-1,586854,-1,394760,-1,-1,-1,604507,-1,-1,133397,-1,303338,-1,-1,885773,-1,46319,-1,740911,775957,909556,924002,-1,-1,90521,131086,-1,125878,191964,-1,20972,429689,-1,-1,-1,486111,790040,-1,-1,-1,-1,-1,302830,187943,847082,863822,-1,-1,-1,-1,254333,-1,-1,-1,-1,648432,-1,-1,268510,345374,-1,-1,141511,422688,468200,383097,-1,-1,918917,-1,333069,-1,489090,-1,-1,978182,-1,974994,-1,631115,-1,-1,673533,304232,289832,902761,-1,-1,802605,-1,-1,-1,-1,-1,965899,47850,-1,842543,312858,297741,-1,-1,377783,-1,402523,-1,-1,871029,432668,-1,50533,370689,-1,-1,405574,634182,720081,-1,862971,594242,-1,979391,99541,177205,585865,-1,764405,372713,-1,-1,863961,-1,-1,-1,56999,958331,555676,944973,253751,-1,-1,-1,714784,-1,479478,-1,585233,335436,-1,426129,-1,490637,413894,-1,-1,-1,-1,-1,-1,-1,-1,-1,398510,-1,-1,713674,-1,432866,-1,938985,608388,759500,-1,590684,61224,101640,505121,569320,568231,505675,260897,-1,555819,189958,516791,-1,-1,-1,-1,-1,348857,-1,-1,130933,-1,593149,543174,683389,677267,246303,-1,-1,367243,-1,313080,225765,-1,482734,834035,160378,596259,947952,-1,387878,898463,778128,-1,-1,551832,-1,-1,385936,-1,-1,-1,872464,-1,-1,705551,-1,-1,-1,834479,498440,-1,820608,514396,-1,944550,785288,776423,751454,-1,664658,-1,-1,-1,-1,673284,490016,94149,-1,210121,354770,-1,-1,581984,-1,-1,-1,-1,630678,478777,415578,-1,993763,373598,288522,89700,-1,-1,603682,93243,902386,-1,87420,384779,-1,638303,-1,-1,-1,634501,835406,995781,-1,-1,643865,505295,-1,932241,-1,-1,-1,-1,468342,-1,-1,682270,466840,893538,-1,-1,639350,-1,-1,-1,190358,-1,279336,759054,90929,-1,807018,-1,656995,597666,644823,611602,-1,-1,-1,873353,220053,-1,-1,-1,787661,-1,-1,-1,297672,970720,808141,-1,-1,-1,-1,928490,732678,352371,690785,-1,380829,125858,123772,-1,81167,-1,540252,690409,-1,821862,50095,773463,925919,-1,-1,-1,542165,121656,397458,590507,785563,164090,568602,-1,188431,-1,-1,-1,-1,871750,-1,-1,32758,-1,-1,25020,181675,-1,-1,277728,-1,870499,-1,-1,-1,-1,922893,-1,-1,715824,-1,-1,-1,-1,320597,899903,-1,766537,-1,885259,779219,644124,-1,-1,-1,-1,-1,564129,-1,537890,773713,-1,-1,435419,-1,-1,352634,-1,500890,167785,-1,-1,837587,-1,175812,-1,-1,40005,338841,600922,458165,-1,645359,-1,674803,-1,-1,-1,115107,396951,348914,30244,237092,-1,676214,171602,716231,883295,-1,-1,930159,-1,-1,148090,-1,-1,473626,-1,18428,382526,-1,-1,8263,-1,945890,969919,-1,747318,500205,-1,117690,-1,-1,-1,652145,507241,-1,-1,450737,580458,841205,820069,-1,-1,216759,-1,280439,-1,636013,-1,903906,199389,-1,-1,315073,-1,-1,171341,503718,-1,-1,78049,-1,787182,36331,753049,-1,609475,4,859894,355812,61817,669499,-1,-1,946407,47022,58803,11518,-1,870088,62730,790242,-1,-1,684124,-1,144782,301060,123857,-1,784073,842318,-1,106949,679118,-1,818790,-1,-1,126705,-1,617012,-1,-1,438522,748150,-1,-1,-1,219975,516984,673685,71757,15170,995409,966388,-1,-1,-1,799076,430432,823020,89155,798992,-1,695054,750974,180883,-1,835556,-1,-1,-1,-1,801354,-1,-1,641080,675866,-1,603565,-1,-1,-1,-1,-1,537024,928184,612726,-1,-1,-1,-1,612825,-1,468798,-1,106888,-1,154270,564690,338866,-1,-1,38784,198002,-1,-1,-1,351141,622340,-1,222551,914397,-1,-1,350895,-1,-1,161398,427518,272639,-1,878590,303564,76661,368761,495040,-1,907378,-1,684801,950881,-1,400702,-1,254560,608090,992204,-1,-1,535370,-1,22160,339175,113161,646465,563453,709311,-1,-1,432935,-1,512273,950255,821598,962136,882550,995705,591936,958115,-1,594059,-1,-1,-1,256996,-1,583436,-1,-1,569666,-1,657956,-1,-1,966692,-1,-1,-1,-1,-1,-1,11082,-1,-1,987294,-1,345057,789460,145514,-1,778183,-1,301525,-1,-1,-1,822870,-1,12123,-1,-1,-1,-1,-1,541872,-1,-1,391797,-1,574204,-1,-1,-1,722818,-1,-1,-1,-1,649356,188320,181682,55155,397215,143561,53290,83906,191411,446656,120260,-1,-1,454771,367902,-1,-1,226864,-1,392342,91561,-1,937341,822222,968029,76799,889966,627384,735167,-1,241175,527052,-1,-1,22676,531102,653462,-1,-1,716337,749941,319392,-1,65549,-1,827201,451066,388059,805126,-1,-1,594348,168837,91674,-1,87109,821434,-1,669619,-1,-1,-1,-1,631645,-1,-1,-1,-1,666446,757842,864691,-1,227048,864083,-1,-1,-1,-1,531154,359592,384977,-1,399755,-1,-1,155195,-1,283112,-1,797875,330211,-1,400216,-1,764162,-1,816746,-1,908083,23976,517973,-1,-1,74236,-1,181694,-1,-1,-1,-1,567257,-1,6639,-1,-1,-1,104341,-1,451888,145652,342517,-1,843292,-1,78193,754974,-1,-1,334464,873352,295747,-1,-1,-1,-1,-1,910682,756067,-1,718461,654314,990730,-1,-1,851868,825492,943119,570207,297583,482211,938143,882047,330206,228349,249015,-1,-1,134214,807477,48113,651902,-1,-1,-1,972407,363716,-1,708366,691377,534605,-1,219259,-1,489291,-1,-1,962647,832134,242721,-1,669220,-1,976180,-1,392729,139100,531378,647553,374698,-1,408654,260833,549380,909582,646568,240481,821938,458730,205270,-1,494150,-1,673056,548164,-1,416642,231695,159298,263791,54717,-1,966892,517332,394253,-1,867856,382988,930915,-1,-1,-1,164775,-1,438835,-1,-1,-1,510740,-1,-1,704651,-1,462178,849671,-1,-1,-1,741005,334807,933916,799402,972919,687009,140315,338236,-1,-1,678959,781007,329675,-1,881883,272189,-1,-1,862750,-1,-1,141295,-1,817085,-1,901405,302793,-1,224921,-1,-1,-1,839190,-1,-1,428041,-1,599901,-1,77417,904173,817390,-1,921642,-1,334611,211204,463687,-1,790981,389845,256935,-1,382064,945686,-1,33892,427479,-1,-1,721873,-1,-1,-1,680364,-1,-1,295453,-1,-1,-1,518069,694873,883215,-1,864427,-1,-1,-1,-1,-1,945779,75943,953855,-1,542765,385472,269266,729321,-1,-1,375040,-1,-1,822021,216634,-1,-1,325994,-1,677909,430962,-1,-1,-1,-1,364007,558293,-1,-1,588945,704485,495875,780191,-1,615893,459293,-1,-1,-1,788220,-1,-1,394562,580189,-1,-1,253927,720241,-1,121912,-1,533323,-1,448669,-1,-1,-1,880638,652564,339038,424434,144061,663314,-1,863144,102846,167559,569902,608398,-1,-1,-1,868204,403135,-1,-1,-1,-1,-1,-1,937709,590683,978183,664023,560665,940296,193190,-1,-1,-1,-1,415624,48076,735584,955034,-1,-1,-1,514759,-1,-1,-1,-1,-1,83027,2329,629687,445850,-1,359772,-1,-1,710996,399357,-1,-1,891991,-1,504847,-1,536628,479675,257892,-1,-1,79550,29255,-1,-1,-1,580024,630708,-1,-1,640042,-1,-1,322358,815791,-1,92805,-1,-1,-1,-1,699830,455572,610370,-1,738457,-1,589659,-1,-1,915589,-1,-1,628235,-1,-1,45009,-1,-1,535389,792047,-1,742955,-1,-1,569935,607137,-1,-1,-1,725493,77858,-1,992474,-1,774929,351241,-1,258866,563279,889892,-1,-1,222115,-1,-1,317622,446871,45146,-1,143974,-1,477913,-1,312831,521544,117962,-1,-1,197030,-1,-1,-1,779709,-1,629537,-1,-1,305626,927828,805449,949012,878218,-1,-1,795488,445809,329845,-1,971001,-1,154327,595689,986345,-1,-1,389525,893847,-1,526231,881017,-1,-1,409340,-1,680926,-1,-1,955572,51128,880828,-1,240623,-1,400460,-1,-1,572545,-1,891507,571566,-1,866318,109791,208410,-1,392906,-1,-1,203365,971906,-1,638423,192896,-1,875266,306162,701991,348090,386770,-1,-1,866564,-1,-1,-1,-1,-1,-1,335557,738538,992043,667268,-1,-1,-1,-1,468995,124740,-1,585715,-1,-1,23621,-1,806896,899681,773670,329017,-1,955250,287833,-1,956427,105345,-1,935645,-1,278834,577375,-1,905452,913858,651940,836529,91357,-1,863897,214882,-1,-1,-1,-1,451224,999221,-1,886450,-1,525894,67666,-1,-1,-1,169370,541049,-1,-1,609262,354075,-1,203347,999142,-1,-1,666268,-1,600026,130408,-1,792952,64175,-1,415882,671703,-1,-1,-1,-1,-1,-1,-1,407858,638479,-1,151899,7273,-1,-1,814830,-1,80270,-1,210977,269008,240275,844368,65836,-1,868742,-1,689946,-1,-1,-1,-1,535282,-1,363730,698039,257914,-1,-1,-1,-1,799096,32274,201135,565599,-1,745679,446468,616222,483726,858272,247918,260186,-1,-1,504461,-1,47023,-1,333978,125193,-1,784711,-1,658278,485871,732574,-1,422106,498369,748046,403454,-1,-1,-1,51968,-1,867083,193040,-1,848007,-1,255839,544880,800568,743915,528014,196552,-1,-1,342166,936462,-1,-1,-1,923356,461006,583835,-1,457709,-1,-1,-1,277362,402022,859080,152510,-1,79753,-1,650455,585286,-1,306878,-1,462231,-1,-1,618174,-1,-1,-1,-1,-1,942632,-1,-1,68068,-1,-1,910835,994791,141738,355713,177552,414222,-1,-1,-1,663595,903358,161002,528152,295399,415501,-1,-1,54572,-1,911299,-1,-1,781612,-1,429563,896084,150026,837392,-1,447328,411505,703798,-1,332256,-1,-1,393752,-1,418710,-1,382854,-1,540292,577030,624687,-1,-1,-1,-1,814147,433789,-1,488993,-1,364278,-1,493525,-1,444731,-1,493725,-1,13568,906161,-1,711045,-1,-1,85873,905551,-1,469452,-1,258188,-1,-1,340911,-1,-1,983681,312629,-1,278993,194062,-1,194320,108600,126082,-1,-1,-1,445241,101965,-1,-1,241694,306389,-1,282772,372836,303509,874946,9720,-1,31495,403690,-1,-1,873545,-1,590848,-1,-1,-1,-1,-1,-1,-1,868355,-1,588949,-1,200171,596751,413681,-1,886383,352365,-1,-1,726251,280542,-1,766942,-1,488299,-1,-1,515753,793058,-1,593573,-1,43974,682501,-1,-1,922188,826498,-1,342638,139916,-1,-1,602163,-1,-1,872816,717256,37670,-1,-1,252754,-1,-1,286899,-1,-1,68679,-1,487251,714759,-1,-1,-1,-1,-1,292809,-1,-1,-1,96353,980012,-1,550003,-1,-1,-1,576066,691207,-1,126523,290305,-1,-1,42173,-1,287458,-1,-1,-1,966520,-1,61826,286686,548971,-1,114981,858362,153984,563749,-1,-1,-1,515444,82789,469612,-1,178332,-1,636263,-1,-1,272897,724026,-1,738016,-1,-1,947329,-1,565427,-1,475783,-1,-1,197048,-1,280483,333579,94651,389679,-1,-1,353218,365821,361763,881311,-1,-1,-1,594408,467347,833807,102592,578138,-1,802992,371452,-1,816272,446680,-1,641759,937194,121942,949793,577827,401100,-1,-1,932038,-1,123326,719019,-1,968352,-1,-1,-1,972050,-1,-1,813540,-1,446537,136703,-1,499044,660193,-1,145686,69814,-1,945461,-1,-1,911146,914467,-1,-1,727952,4810,627217,-1,519674,-1,-1,-1,564072,835216,817449,180593,489136,-1,-1,-1,-1,-1,-1,-1,574888,798131,458512,668704,725324,368327,-1,-1,879183,240552,-1,-1,167724,409054,23457,-1,174225,-1,-1,100981,-1,-1,592516,-1,-1,613433,-1,-1,-1,-1,798560,-1,-1,-1,847083,-1,-1,395522,527024,409877,240125,-1,-1,721987,300914,-1,133061,897900,673152,-1,-1,777965,-1,-1,-1,943231,784288,-1,58291,-1,-1,34604,747943,-1,-1,-1,-1,482331,208004,627106,-1,-1,915408,-1,610172,333649,-1,-1,-1,388304,84883,-1,818988,-1,630297,487138,100100,-1,87277,952687,660840,662304,566976,-1,220249,350878,642287,-1,319131,411271,549414,-1,844485,-1,-1,678350,-1,274735,-1,150857,964947,-1,-1,-1,-1,632850,36373,999662,-1,824767,-1,-1,407298,-1,205456,665383,236986,286295,178852,-1,-1,578294,-1,-1,666980,384239,-1,-1,-1,318384,-1,336430,-1,-1,-1,132362,38925,-1,-1,-1,304708,788563,-1,276814,-1,907151,-1,798351,935147,278146,811577,-1,404092,-1,-1,971064,767179,829726,556840,-1,673757,723894,912181,-1,-1,-1,-1,-1,715643,-1,-1,-1,-1,-1,79805,302965,-1,316684,-1,202623,105833,568425,80070,395874,-1,-1,268316,-1,581609,213921,-1,800941,-1,-1,-1,-1,-1,3685,965255,-1,-1,628330,-1,133632,538259,759467,837151,576685,558360,-1,608331,212030,316726,-1,314092,-1,525923,-1,-1,-1,-1,564642,689391,-1,-1,-1,-1,-1,-1,-1,971916,-1,-1,-1,-1,273798,-1,86336,675298,921100,821829,-1,-1,750496,664030,-1,-1,-1,743639,659291,-1,-1,-1,572630,-1,775460,-1,225291,217403,148563,308359,717689,-1,704594,837357,550314,-1,813831,-1,508062,-1,-1,176479,-1,-1,848861,302904,-1,-1,-1,-1,-1,73481,-1,95991,-1,998383,576337,-1,-1,-1,-1,335029,93376,-1,-1,28475,99202,927446,984186,378995,-1,995430,-1,-1,438517,738129,142323,416256,930160,-1,502895,466148,758157,-1,-1,-1,-1,359081,694368,413223,-1,645832,455583,139196,428282,-1,-1,547159,-1,-1,-1,564861,968738,-1,649075,155825,-1,488385,35972,-1,902797,-1,-1,311875,-1,391653,-1,-1,952879,419468,-1,-1,-1,658134,-1,975531,254855,-1,353276,37619,861484,-1,-1,718650,813769,855547,987782,-1,-1,964790,-1,-1,-1,-1,-1,-1,652584,-1,53153,-1,-1,-1,-1,-1,-1,-1,907808,-1,565429,-1,-1,973350,308602,234118,228634,903671,-1,-1,31627,-1,-1,174628,-1,-1,115035,-1,-1,188448,725859,-1,-1,-1,-1,156545,-1,369627,-1,512101,193602,-1,-1,-1,-1,647865,394557,946883,-1,604817,508712,615661,-1,455557,588684,-1,615733,943841,97963,880764,417604,-1,-1,666553,998386,-1,-1,-1,-1,-1,240970,-1,-1,751845,-1,-1,463851,146443,-1,206610,754742,-1,296504,674814,740653,617449,924291,516081,-1,-1,-1,-1,155048,-1,838761,656923,-1,448210,-1,-1,-1,-1,323793,-1,17557,-1,249967,634973,768922,748079,475755,726427,-1,-1,787603,565290,155714,549610,49404,-1,-1,933065,248885,313609,-1,-1,-1,829184,-1,-1,995957,-1,96878,511872,927224,718784,769017,134570,-1,-1,201488,204181,986570,-1,92990,-1,445585,-1,411762,437791,846406,481975,-1,-1,431122,-1,638629,821445,291559,-1,500358,-1,-1,602349,-1,-1,620348,-1,-1,-1,-1,-1,-1,-1,-1,179954,116649,76452,417406,-1,-1,-1,193407,-1,-1,156050,-1,-1,-1,707240,-1,-1,530882,-1,-1,896715,-1,-1,-1,654172,-1,723519,-1,534279,-1,706966,-1,878864,-1,-1,-1,-1,735873,-1,856539,60957,11788,674074,615869,-1,229532,489366,86039,808602,928286,-1,567703,-1,-1,-1,-1,-1,240462,399276,564274,218803,335054,-1,-1,-1,954309,355303,498073,429101,-1,498640,-1,-1,409059,699050,-1,-1,898754,594167,-1,617389,233382,463407,-1,-1,688978,-1,173336,151778,-1,959917,-1,866449,128494,-1,987487,972156,30223,89649,303062,249980,316450,-1,-1,-1,791625,-1,410456,480378,822763,58820,635778,1761,-1,-1,436805,-1,-1,-1,-1,-1,603941,839991,922706,-1,29211,-1,439095,-1,-1,-1,686391,620090,-1,844872,162006,-1,820992,-1,-1,198727,245804,-1,-1,744837,-1,62129,-1,792492,-1,-1,826194,684375,-1,-1,-1,-1,-1,-1,862885,871537,811409,-1,-1,223216,-1,-1,-1,-1,-1,287332,230417,150027,879323,-1,118280,428737,-1,197380,50223,-1,351114,-1,-1,996708,-1,-1,253955,-1,959885,-1,723208,-1,-1,310658,-1,-1,-1,-1,457904,426034,-1,638246,-1,610339,-1,-1,-1,371307,260168,-1,765926,-1,-1,173555,-1,749347,946934,-1,703610,739661,832570,-1,31160,-1,209436,131431,996871,-1,432142,-1,-1,877639,358047,403283,554114,231427,-1,-1,-1,272032,-1,-1,718622,555868,827342,-1,997636,446398,721918,245980,-1,257081,430619,434300,-1,-1,-1,-1,846287,-1,977023,-1,-1,6879,-1,955563,89727,84864,865768,-1,956895,-1,638121,-1,-1,-1,-1,658775,849210,951644,-1,713795,657515,450111,374627,539632,-1,141572,-1,-1,170777,-1,545368,368849,-1,742769,257202,808820,785153,-1,760654,-1,-1,525363,8291,-1,992971,-1,394940,-1,572317,354514,-1,-1,861109,613930,641785,371522,-1,-1,-1,330846,-1,-1,567944,-1,890204,245152,-1,-1,-1,-1,370090,407420,-1,-1,-1,-1,161036,-1,-1,-1,-1,695437,-1,-1,-1,-1,703093,-1,-1,546176,-1,588197,272113,125161,387922,-1,244096,-1,493798,-1,-1,-1,318876,412711,218589,-1,-1,-1,-1,-1,48543,499569,174328,-1,-1,-1,-1,-1,112168,679686,-1,-1,-1,-1,-1,-1,-1,906052,-1,-1,-1,845885,-1,-1,-1,-1,252415,-1,-1,546613,246922,985124,102513,318576,-1,261429,780314,-1,-1,579690,467280,324081,967207,968492,314282,-1,-1,866692,-1,-1,453689,-1,534465,-1,245286,569159,114123,-1,-1,-1,-1,-1,-1,-1,813398,999274,-1,958302,219400,822319,-1,665077,809791,567049,638342,-1,-1,-1,-1,-1,444993,964896,-1,598575,830236,782512,321125,531971,-1,-1,861576,456047,-1,770443,341155,156025,-1,535670,40626,-1,386448,626012,-1,571330,-1,-1,281085,338964,-1,-1,765244,-1,-1,42820,254533,-1,707461,773823,61253,780552,-1,-1,307182,280463,836732,899530,169532,724411,-1,-1,833691,-1,-1,-1,-1,248210,-1,204987,-1,946397,594155,839368,-1,178390,145541,813128,271113,-1,-1,255918,145926,11141,-1,414114,450941,-1,220504,767156,-1,-1,534236,-1,490405,-1,443950,-1,-1,701141,452365,154612,84618,35103,511937,765101,-1,467563,603714,757968,-1,549344,-1,-1,370490,-1,656441,-1,974527,607065,666080,246452,208505,47545,-1,-1,95623,856899,937763,2000,755634,688527,-1,486186,-1,572625,-1,-1,337123,84639,716066,-1,-1,267448,25432,-1,586218,153711,-1,33568,903930,452964,-1,111425,-1,404213,817339,136501,-1,-1,-1,741043,463234,722298,634975,-1,313413,406331,-1,185388,-1,87332,-1,319124,-1,436012,197375,-1,794959,-1,-1,-1,470396,-1,-1,981472,-1,264455,-1,932803,-1,-1,-1,815537,-1,-1,-1,-1,-1,-1,80321,474531,113916,-1,868920,-1,35199,510877,784342,-1,604934,834283,337594,858635,562502,382182,-1,-1,-1,940519,-1,-1,701455,355035,-1,797208,2949,-1,715601,-1,74474,212340,-1,433417,621072,65613,-1,-1,-1,234815,981736,-1,-1,371275,26264,-1,-1,-1,-1,817919,-1,33970,482357,-1,103333,436791,-1,815237,234461,634401,536920,-1,277360,-1,-1,-1,-1,294692,-1,-1,-1,-1,-1,-1,970620,7336,336756,48733,509592,-1,345525,594541,480343,-1,-1,-1,-1,133530,647618,-1,705038,-1,295581,864270,-1,-1,701364,-1,17723,-1,-1,423320,-1,533925,350197,841351,-1,664327,458638,-1,952934,-1,702781,113346,607068,706081,-1,904524,451018,141912,-1,379727,-1,-1,964902,-1,462902,-1,-1,608255,309058,-1,-1,-1,832406,-1,-1,916932,278179,-1,526979,-1,-1,51098,-1,591234,267411,653266,97158,662323,238983,-1,131635,-1,-1,-1,-1,-1,-1,-1,-1,14780,-1,-1,-1,-1,209370,548906,-1,6455,-1,246749,-1,-1,-1,-1,562021,-1,-1,-1,932963,-1,-1,-1,315619,171394,891375,705445,496602,998897,-1,-1,57473,-1,836620,-1,-1,160030,134474,893583,578710,539280,-1,652260,112165,-1,17906,-1,960883,-1,501359,-1,212040,479481,96990,-1,-1,-1,43234,457392,-1,-1,296137,-1,-1,-1,834429,994953,829857,-1,214683,-1,998192,-1,-1,-1,52320,795315,-1,224654,857855,235116,-1,542824,627214,593221,622021,401830,723649,-1,-1,-1,-1,-1,-1,903773,57067,-1,-1,358263,-1,243499,596500,-1,-1,849159,688166,6806,-1,-1,-1,-1,-1,-1,693097,-1,968174,951322,921038,-1,102995,-1,387101,-1,283638,-1,52865,-1,-1,-1,-1,-1,653427,-1,-1,1447,-1,618186,385480,300619,965514,-1,266319,-1,-1,-1,-1,885878,-1,540447,843755,432649,616693,-1,867747,238286,-1,-1,-1,-1,699228,690429,154126,488462,926264,-1,-1,635804,-1,-1,953953,458259,295785,272614,-1,347347,-1,273535,944724,50459,-1,373513,921411,-1,-1,-1,-1,-1,464419,-1,750652,401354,549225,558346,-1,-1,374463,-1,916444,165411,224219,367258,-1,538401,393674,-1,-1,-1,655615,-1,151924,-1,736286,-1,-1,-1,-1,-1,131249,897168,242132,-1,-1,171733,958191,-1,630381,890026,-1,-1,70865,550755,991597,-1,309762,-1,278690,-1,-1,368665,115046,520697,-1,641265,-1,123971,137554,-1,711992,944691,-1,-1,-1,395644,47585,624271,291003,554349,711737,-1,257072,999936,103555,780923,-1,-1,-1,940886,559127,-1,-1,-1,-1,957272,-1,-1,107277,-1,681509,-1,34744,757142,669360,864394,612075,-1,781029,-1,223198,-1,-1,632652,-1,58592,470808,-1,-1,297,238179,-1,125414,-1,-1,817512,299276,-1,307544,238146,660120,-1,749581,-1,-1,268082,-1,-1,-1,-1,389747,-1,-1,310731,691556,604445,-1,-1,-1,301758,-1,515297,-1,657616,-1,244333,-1,-1,907820,457657,-1,226263,-1,662256,497506,-1,-1,77642,760082,-1,-1,836684,-1,716602,-1,-1,-1,790371,1403,-1,235821,-1,960200,621361,-1,86206,-1,-1,383331,-1,234783,388645,425968,308021,963651,-1,-1,196354,-1,306029,803830,803689,306667,346215,118150,-1,-1,-1,-1,-1,-1,-1,-1,969652,315061,117232,-1,646365,-1,318883,-1,-1,-1,896899,-1,628941,-1,450349,-1,196105,411725,586220,48170,158231,-1,364716,-1,-1,256674,979008,-1,-1,654965,-1,368859,-1,-1,9243,197661,101681,689680,624983,-1,-1,-1,989895,-1,-1,248012,-1,760775,540957,957961,683914,141276,482419,728041,479317,-1,977725,-1,206514,102955,-1,484943,-1,-1,-1,-1,432598,400259,-1,-1,-1,57791,133601,691146,-1,287555,-1,360932,527396,-1,582776,-1,-1,259122,862806,-1,788693,317805,-1,-1,-1,991512,347410,-1,959547,692925,-1,707605,338710,-1,315408,-1,140857,281179,-1,769514,-1,755398,568965,535730,-1,-1,541127,-1,-1,459954,-1,-1,-1,-1,20818,351610,655641,-1,179895,-1,-1,-1,133423,955462,-1,-1,800535,-1,-1,621639,310051,-1,-1,544009,-1,819671,-1,-1,-1,930303,-1,777931,-1,-1,-1,711487,-1,5929,-1,-1,509251,30060,597154,-1,-1,-1,-1,-1,-1,29013,876579,-1,170012,969046,677026,-1,53865,-1,-1,-1,-1,375780,-1,-1,-1,95033,716959,-1,-1,-1,-1,-1,151796,-1,652551,-1,-1,-1,-1,-1,-1,-1,892173,-1,-1,-1,-1,-1,357636,276835,284430,58308,115289,-1,528911,-1,974041,-1,723835,741449,-1,417401,579935,255480,-1,433095,797497,-1,278139,-1,-1,489450,-1,-1,-1,-1,445462,880013,-1,361691,212317,339792,-1,-1,-1,633876,403346,121066,-1,545919,532736,824876,42144,-1,-1,619160,-1,-1,898188,-1,837968,712657,381876,-1,-1,158099,-1,-1,-1,-1,794714,-1,-1,743147,-1,163667,189955,-1,448112,-1,-1,288277,-1,179966,-1,525335,511653,-1,525058,318681,202380,449625,-1,89347,776927,-1,19184,-1,-1,706074,75830,-1,-1,-1,820708,87756,-1,631370,628128,558815,-1,729502,-1,-1,-1,-1,-1,-1,737964,607038,540687,562449,54940,-1,337873,-1,-1,557406,570471,-1,677736,571619,204099,-1,842285,-1,-1,361482,-1,80138,845742,107189,89508,-1,503527,-1,993757,-1,-1,273673,142463,-1,578210,-1,600210,-1,317639,-1,-1,-1,-1,594721,-1,-1,-1,87850,-1,-1,-1,902628,-1,720059,964089,-1,-1,533414,-1,616762,820453,743614,-1,-1,719385,-1,797605,-1,933644,-1,-1,270907,-1,-1,-1,639200,31410,517539,171338,240015,-1,-1,890348,693278,-1,139873,687499,444554,655752,-1,-1,492821,-1,-1,-1,594867,798920,-1,605313,-1,-1,-1,-1,-1,-1,-1,-1,36539,475330,770331,490349,-1,484089,377558,942116,522573,-1,682800,-1,982606,878779,-1,-1,-1,999564,-1,956038,-1,-1,424365,-1,-1,-1,947111,-1,862827,680783,476032,680437,385457,844046,-1,673207,52638,892698,762552,-1,339114,492823,847408,926286,549015,-1,234452,-1,604077,-1,-1,-1,-1,250481,-1,-1,855596,271524,-1,-1,970037,740153,-1,-1,673164,-1,-1,350702,767854,-1,723149,339256,893808,322313,-1,-1,883548,-1,-1,374531,-1,-1,193540,-1,134217,-1,789551,-1,-1,840709,-1,-1,481054,-1,-1,-1,-1,112406,-1,116267,-1,-1,-1,-1,-1,455412,482483,165461,263728,536408,-1,-1,-1,-1,-1,-1,-1,127585,-1,-1,950134,638565,122849,636907,-1,-1,948329,925930,160126,429453,663488,-1,-1,615987,-1,61078,476601,-1,-1,4830,-1,571759,582158,672892,-1,-1,-1,-1,548715,-1,48535,-1,332026,-1,-1,-1,562396,-1,509537,705716,-1,904370,462438,789601,-1,-1,958624,733679,223210,470316,-1,655018,111283,745879,820097,-1,-1,64211,371034,-1,460330,-1,612890,11101,-1,134527,184103,-1,942866,-1,-1,-1,202803,-1,482143,-1,914429,-1,655219,-1,357318,801618,-1,-1,865366,180567,998758,813662,301211,-1,20469,-1,842620,219985,76119,954038,-1,-1,145742,218412,421444,-1,749140,-1,48019,770008,363641,-1,253745,-1,181852,-1,823362,-1,-1,-1,-1,453378,74238,713167,-1,430877,754513,-1,539078,-1,678007,916520,553881,-1,445971,-1,-1,983726,647108,-1,154073,694722,387398,523783,561417,-1,-1,366373,-1,-1,-1,-1,-1,550854,699298,933797,914361,151405,83859,992332,-1,232356,283794,951478,-1,-1,108759,345192,24364,590566,-1,467510,-1,221031,715094,-1,150840,294297,98373,649846,-1,-1,451875,111468,-1,528536,197648,-1,103767,-1,566567,614015,-1,170497,158352,583671,746739,566470,-1,763183,880244,770261,-1,677308,754607,846566,544634,-1,326737,-1,-1,401998,500542,-1,655412,-1,925958,-1,-1,44833,-1,-1,627182,656399,-1,-1,-1,555464,916637,-1,790798,410463,578711,-1,762554,-1,-1,377356,916927,-1,-1,296905,-1,-1,-1,-1,-1,-1,104274,112677,857622,444628,-1,636518,-1,499636,-1,-1,-1,273885,122104,-1,418851,-1,-1,-1,129403,505013,-1,-1,-1,40073,-1,-1,81372,-1,-1,-1,-1,78618,-1,-1,391160,347405,81995,-1,251469,-1,987069,175861,300796,-1,255746,581468,-1,-1,463514,724799,797498,-1,148359,219906,-1,-1,-1,-1,-1,211874,-1,-1,-1,-1,154409,-1,604878,912698,-1,721431,878938,-1,558113,169236,-1,-1,-1,-1,399940,-1,-1,775943,-1,540501,728484,791901,-1,642747,-1,-1,579717,-1,-1,-1,-1,-1,298402,334122,-1,-1,-1,636724,108840,-1,-1,932442,-1,-1,-1,-1,-1,-1,982911,883136,-1,363111,59704,406936,-1,832505,-1,-1,-1,822876,700508,-1,873858,-1,-1,755904,-1,-1,489861,7014,949594,-1,533012,125142,567334,12202,470095,960499,608016,377857,257330,488200,-1,145656,-1,977509,585818,-1,-1,606846,387781,53812,-1,-1,-1,95290,-1,468212,74588,364931,80479,545450,-1,18234,239868,-1,-1,-1,-1,259769,-1,-1,-1,-1,-1,121943,-1,-1,141204,562737,-1,171723,89250,-1,228975,448585,-1,482454,-1,62401,776477,-1,873903,-1,395427,948568,758985,232422,795099,-1,-1,-1,-1,-1,333243,880733,-1,-1,474040,53506,329627,-1,-1,868562,-1,244948,-1,350379,-1,975865,388331,-1,111749,500032,559366,-1,895992,367526,978138,229969,-1,-1,317059,185192,389604,-1,745566,-1,299911,-1,951616,-1,-1,-1,696342,771977,916315,-1,-1,-1,-1,419759,758824,-1,532627,-1,701436,-1,-1,-1,-1,-1,347304,-1,-1,-1,-1,480622,-1,-1,-1,-1,484829,-1,313518,126503,-1,-1,762455,630079,313401,-1,174250,284303,-1,71435,-1,324356,-1,163622,-1,-1,-1,-1,47770,-1,-1,122204,-1,-1,293152,745301,760746,16759,-1,887312,437593,444719,-1,-1,-1,181760,212113,-1,-1,980390,625363,-1,115300,238399,-1,-1,-1,-1,809628,444614,-1,432260,-1,523458,-1,-1,-1,-1,-1,-1,-1,-1,634254,139992,-1,326937,164167,-1,901915,48868,315711,514642,590701,-1,-1,-1,536324,110552,-1,842149,-1,326666,361062,69990,-1,978979,-1,301586,209838,708023,-1,253804,310134,-1,715683,-1,-1,-1,-1,389569,921759,-1,-1,517779,953828,313142,873531,619120,-1,207274,-1,188562,-1,831230,-1,553116,-1,-1,13186,-1,-1,15631,709472,880562,524117,-1,-1,-1,-1,802847,-1,902544,647794,357183,-1,970316,272930,24072,20916,-1,-1,200482,319886,778035,133720,643082,586808,-1,-1,189164,83430,-1,-1,138340,7776,559967,9538,-1,-1,-1,574558,711377,-1,-1,196414,-1,423015,516374,864339,-1,128909,-1,-1,337748,141242,-1,-1,-1,952665,-1,474120,-1,-1,-1,-1,752114,587660,-1,786967,-1,288405,248180,-1,-1,-1,-1,92345,-1,188622,140938,-1,84454,-1,851874,-1,-1,-1,-1,872899,63052,-1,-1,-1,133159,319096,-1,847508,412269,-1,653199,-1,586509,-1,534007,-1,-1,-1,-1,-1,-1,-1,615867,285485,624501,-1,-1,-1,-1,427107,-1,801901,335455,-1,183226,-1,382091,504469,839785,-1,-1,612746,879190,-1,-1,464038,-1,841303,-1,-1,431136,-1,977769,-1,-1,511502,-1,-1,114621,-1,-1,-1,-1,-1,601828,-1,-1,541591,813408,-1,651461,-1,-1,-1,-1,668147,-1,288306,-1,-1,-1,-1,-1,27898,121241,726603,648098,-1,-1,-1,-1,-1,304056,-1,-1,573087,-1,462783,-1,-1,815392,832340,885450,-1,-1,-1,567611,-1,209228,-1,-1,50786,837931,-1,386105,-1,-1,-1,-1,518780,-1,-1,362801,-1,-1,-1,-1,-1,-1,-1,115374,-1,886199,789477,722639,333457,354167,-1,-1,-1,-1,215521,-1,-1,-1,1715,241514,-1,1175,-1,377220,100671,333156,98982,-1,972897,32100,-1,148609,-1,997633,285252,82416,77524,-1,-1,941829,-1,108737,-1,256971,-1,-1,-1,-1,-1,147637,-1,366444,-1,-1,610592,-1,-1,786617,-1,-1,399087,-1,678228,-1,-1,-1,-1,-1,572245,12624,434364,-1,839847,764949,-1,591769,255374,205502,712775,810151,-1,-1,713289,274540,187820,790650,-1,630051,-1,894213,719150,-1,948368,-1,42743,777019,-1,-1,754198,760035,-1,-1,-1,-1,-1,47786,-1,-1,203133,-1,911282,497682,-1,354393,595884,-1,705896,694155,-1,243239,-1,722067,729631,14213,-1,27483,691308,-1,96131,-1,992759,492629,-1,-1,-1,-1,376865,-1,-1,-1,488108,-1,510718,-1,-1,385975,-1,-1,483057,-1,-1,-1,647819,-1,-1,-1,642837,-1,773132,-1,-1,-1,155431,-1,-1,-1,177784,181663,825337,128419,-1,-1,140278,767578,-1,-1,843444,-1,-1,623070,843691,-1,92810,-1,939105,-1,-1,262497,416429,-1,-1,-1,-1,385430,626841,-1,-1,684127,-1,-1,22340,999,-1,-1,562489,-1,-1,-1,238128,959289,-1,-1,548072,650581,659434,-1,752072,-1,457306,153844,463357,815277,-1,-1,-1,243212,-1,-1,-1,584783,-1,-1,721822,697213,880983,450980,-1,792858,799388,307549,523096,118498,156273,-1,-1,-1,860357,630433,-1,-1,449113,-1,-1,175589,987790,-1,-1,722379,117148,-1,200607,452474,-1,-1,102671,9682,929623,-1,-1,869843,546901,29345,514186,286803,925373,791052,-1,-1,418135,-1,-1,180885,318663,-1,436160,446614,262766,-1,-1,-1,881444,-1,40024,-1,619175,-1,-1,359753,299049,1870,-1,880234,630383,-1,-1,323621,287493,-1,836495,557920,-1,-1,593208,77268,103918,762665,394245,-1,-1,-1,-1,439939,791555,661174,-1,-1,129905,-1,157707,924758,333987,633555,668086,898428,293210,-1,-1,98200,165560,832031,-1,199725,-1,55529,247223,340477,-1,-1,-1,935350,85014,22235,-1,112935,-1,-1,-1,-1,-1,782659,811186,712209,662282,291070,227914,859483,-1,442553,-1,819015,913040,504726,14284,-1,-1,223584,357522,472103,623081,-1,787750,-1,-1,-1,-1,267790,342787,-1,350019,-1,324798,89299,-1,383479,206093,98670,-1,237663,-1,80838,-1,-1,15886,-1,-1,-1,790136,947786,213891,786561,-1,-1,-1,-1,425919,646583,-1,532478,864323,-1,-1,-1,463333,818335,886225,28945,-1,-1,937611,-1,-1,-1,476678,384356,175017,916483,-1,67332,267575,458233,-1,959956,-1,-1,838199,-1,-1,-1,787990,924728,28840,206751,-1,255234,-1,-1,152908,-1,780389,90186,455477,310445,-1,-1,-1,573896,-1,-1,259950,542183,207106,25245,-1,169786,-1,-1,-1,-1,972863,-1,-1,433293,957601,-1,-1,-1,452380,-1,-1,-1,386596,113395,43861,100828,-1,-1,392223,-1,716981,-1,-1,-1,371685,571276,240804,60342,-1,-1,-1,-1,945409,-1,854274,-1,518386,581738,-1,732316,563392,-1,67528,688131,-1,-1,-1,833937,-1,-1,-1,789198,721833,-1,268997,-1,356230,468797,-1,161908,-1,-1,-1,641382,-1,-1,399068,423985,-1,-1,-1,-1,318560,-1,-1,229881,719703,-1,-1,-1,646831,-1,-1,-1,-1,-1,629949,-1,888335,33624,212844,718018,323920,682225,-1,512958,541740,-1,338386,679066,409363,-1,213098,79603,380880,-1,493089,634627,-1,819756,49963,-1,661312,987252,-1,-1,620132,-1,-1,449005,558232,345538,-1,803903,325137,-1,574655,-1,-1,-1,-1,-1,119508,199914,441100,-1,393564,-1,850994,716535,-1,245131,316083,-1,-1,-1,434119,502746,730034,21247,81419,39720,-1,649854,-1,990109,869060,573999,-1,832936,185659,421387,752428,736514,-1,-1,-1,-1,279769,948717,-1,-1,6224,-1,-1,-1,574892,-1,383978,757209,-1,950448,-1,255486,-1,628067,-1,-1,-1,865481,102744,353562,651562,-1,899785,-1,-1,480784,835837,-1,-1,20694,241268,345113,376477,-1,-1,-1,718039,500711,-1,-1,-1,-1,306867,640273,-1,-1,-1,-1,823696,-1,952901,-1,-1,-1,698303,187541,-1,748430,768310,-1,583690,800414,-1,967610,114351,-1,925013,336343,-1,678637,992121,720965,-1,-1,648115,-1,-1,-1,943082,45964,-1,970847,-1,494035,-1,684976,916890,-1,143653,730740,-1,809240,-1,156766,557612,260678,-1,455530,439,559212,225259,-1,-1,-1,839733,679362,934652,-1,-1,29370,454544,787158,933238,-1,261769,28559,669242,-1,455142,393060,-1,-1,808843,-1,770591,-1,-1,-1,175431,-1,485593,894924,-1,945916,42870,209824,-1,39322,-1,-1,-1,-1,-1,303482,-1,828596,-1,-1,190248,-1,-1,129541,889977,955,-1,-1,505079,-1,897183,-1,639702,-1,-1,-1,-1,-1,-1,780162,458132,-1,-1,863597,13385,81315,-1,-1,336956,-1,-1,-1,-1,-1,-1,643500,-1,462886,-1,324978,-1,-1,-1,630818,630330,-1,-1,964505,621747,-1,-1,853459,-1,528295,113468,-1,-1,-1,-1,-1,736909,205911,-1,958440,-1,-1,-1,-1,65253,704165,-1,313315,439675,-1,-1,-1,-1,789881,694318,669351,749754,281897,-1,183185,-1,-1,656462,377403,445324,308454,-1,-1,-1,267350,-1,311254,-1,-1,134685,234302,-1,-1,-1,-1,542518,76239,-1,-1,-1,878163,551638,653022,190570,234750,881366,81893,842124,-1,30879,-1,-1,-1,-1,211138,769251,625821,-1,173786,140457,-1,39326,879737,-1,-1,900250,509015,817236,-1,306185,-1,181623,275333,-1,851632,875695,-1,469810,-1,674027,-1,-1,335542,-1,-1,-1,-1,-1,400818,-1,251887,-1,459804,427715,182601,-1,681195,748169,-1,808988,460575,781356,473273,790688,375933,136479,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,782833,386551,-1,273916,661501,-1,-1,477824,-1,-1,-1,330532,600187,119905,-1,828135,446092,9636,11429,372891,415857,-1,148324,74184,-1,684518,-1,-1,-1,310954,-1,-1,-1,510235,868146,133763,156791,200504,-1,942733,119786,348739,312865,-1,219370,289592,608985,-1,690421,456320,-1,860788,804849,-1,925971,107423,451797,-1,-1,-1,-1,994553,223978,780817,847203,-1,352385,-1,-1,-1,694102,-1,-1,796365,-1,-1,-1,-1,315046,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,549196,296248,74712,863884,-1,-1,103542,615631,361139,-1,-1,-1,-1,-1,-1,22362,389039,-1,978230,-1,-1,-1,-1,841975,-1,754921,345920,915040,-1,972064,-1,-1,747791,484994,18930,943829,80449,-1,-1,-1,-1,-1,897321,-1,-1,-1,-1,746158,727075,668842,-1,-1,-1,-1,440723,733674,-1,889345,-1,-1,475944,279612,-1,-1,388325,-1,-1,775926,-1,-1,319153,-1,340712,459660,-1,-1,-1,626018,236344,-1,-1,-1,-1,240546,904151,868714,-1,748819,-1,-1,-1,695110,-1,-1,-1,-1,912216,-1,-1,-1,46664,-1,398302,918354,533714,24366,-1,728839,270364,-1,801872,559997,658477,-1,-1,849333,-1,874070,-1,-1,-1,-1,497930,-1,778998,212890,392000,21283,-1,-1,-1,588068,-1,784782,-1,569679,-1,-1,-1,358320,594269,-1,-1,492590,876052,-1,-1,-1,-1,-1,-1,745578,-1,-1,-1,918272,-1,-1,195340,588876,496583,-1,65570,160450,-1,-1,271118,485442,683694,-1,-1,-1,304513,-1,-1,232358,421109,685116,647875,343333,-1,401057,-1,-1,934046,364378,576794,-1,-1,95107,356759,354567,63443,999100,88517,-1,-1,-1,45702,-1,-1,-1,324333,332573,-1,-1,763511,489036,-1,287383,-1,669032,-1,970983,-1,140850,-1,951386,-1,732459,615653,-1,436799,192349,835452,953940,-1,-1,-1,-1,-1,-1,-1,-1,482018,427289,-1,467810,-1,902495,866894,820575,926039,711276,46087,-1,-1,-1,923401,-1,546931,486792,-1,197894,759740,459035,-1,750374,-1,500419,-1,998902,732916,645918,-1,634365,-1,-1,-1,415491,811977,-1,402759,-1,920830,33755,977425,-1,-1,-1,-1,-1,550610,-1,-1,288183,692968,90879,476120,-1,218766,-1,573310,-1,-1,367960,-1,615324,343596,-1,115820,990880,-1,-1,-1,-1,522905,618906,-1,-1,428462,-1,221802,391543,-1,11176,530897,490304,-1,-1,893049,518736,-1,851947,915855,-1,-1,655350,-1,-1,535982,-1,-1,-1,-1,167150,84982,-1,-1,-1,-1,-1,-1,-1,-1,821197,474420,-1,-1,-1,533654,-1,-1,-1,-1,326908,436603,145317,-1,517935,888418,-1,213319,-1,223687,-1,-1,789336,472255,509536,353192,-1,-1,199478,934039,211925,926488,213456,-1,972589,-1,-1,299992,-1,847764,-1,-1,290069,82688,251974,-1,-1,184407,572372,-1,718494,108178,839105,-1,-1,311848,487204,-1,214573,111678,229093,-1,72284,723562,577952,-1,-1,199440,-1,-1,518690,672891,199428,-1,743991,866020,764111,800686,218161,285932,770978,-1,-1,-1,190707,491122,-1,846777,-1,-1,-1,837506,219408,-1,-1,-1,530117,-1,-1,-1,-1,-1,-1,736310,349035,-1,-1,245783,-1,479343,-1,495078,-1,432113,-1,445668,184457,123849,-1,-1,706705,-1,-1,-1,-1,-1,729856,470287,-1,-1,-1,96694,79276,47064,410729,-1,501512,538273,-1,-1,155769,-1,258822,-1,821429,-1,-1,315786,-1,409180,674878,-1,-1,-1,-1,-1,-1,31058,876068,-1,343609,109686,578989,-1,-1,-1,518767,-1,-1,-1,837437,-1,-1,251521,-1,541414,414884,-1,-1,330329,441601,683967,350277,999436,-1,162168,85751,-1,-1,-1,-1,-1,64023,-1,-1,473775,362627,-1,-1,-1,-1,-1,-1,180424,-1,-1,174212,-1,840375,-1,653785,-1,870914,-1,-1,264728,147985,-1,520083,334339,-1,-1,-1,-1,745613,476472,135480,-1,-1,485223,87644,-1,-1,514103,-1,200734,358336,840839,-1,-1,390422,797993,547220,980401,-1,-1,-1,-1,-1,-1,892845,849097,421594,-1,-1,139456,-1,935678,-1,-1,112195,-1,-1,-1,256296,102019,705724,271195,651123,24955,-1,494472,-1,328283,-1,-1,130729,-1,-1,248798,-1,-1,-1,791927,795469,-1,717039,-1,-1,469628,-1,700345,650786,567708,-1,84565,-1,-1,-1,340035,-1,-1,767728,876863,417882,912313,-1,-1,-1,561471,869429,698648,-1,256423,36314,-1,420449,-1,590245,-1,-1,995743,182354,-1,-1,-1,-1,-1,-1,386563,587955,-1,-1,-1,622287,475856,-1,289474,-1,-1,385382,645791,-1,-1,-1,-1,976979,-1,-1,-1,-1,-1,837619,-1,292213,846471,-1,-1,391321,-1,-1,655539,274889,-1,465836,773041,-1,-1,-1,-1,337225,413690,-1,230692,378089,614512,-1,-1,731867,-1,355923,-1,-1,-1,910027,-1,-1,239373,439922,730295,-1,784781,83628,-1,884938,951679,805842,-1,-1,-1,-1,-1,-1,153941,-1,-1,898874,-1,-1,217366,-1,550268,334293,639346,-1,-1,-1,642668,-1,115379,-1,637008,-1,634315,-1,852991,984243,477016,31162,-1,508494,327722,766400,599918,352176,-1,-1,514172,-1,206702,690198,-1,634781,-1,984911,254032,-1,-1,-1,-1,703139,645813,-1,-1,594852,352864,201074,-1,343738,123082,964025,-1,92750,-1,-1,726247,718487,343155,-1,-1,990708,-1,8992,-1,458843,-1,676032,761666,456676,-1,875102,-1,497392,886412,-1,-1,833500,-1,-1,588017,-1,170746,-1,-1,102768,-1,-1,-1,717499,844472,540731,-1,615798,-1,-1,946921,718674,-1,-1,-1,242854,777867,992891,573221,918330,216957,885279,-1,-1,-1,715233,-1,163399,45063,-1,-1,593987,-1,328955,742150,-1,-1,84446,610551,676199,-1,546320,123544,356977,567650,-1,609730,149164,652157,728285,491701,3080,39576,719292,735049,476804,67890,-1,877159,698983,-1,-1,140986,816388,-1,-1,-1,-1,-1,-1,-1,-1,-1,739020,-1,172024,-1,-1,25444,-1,387804,-1,523012,-1,193238,116486,-1,-1,-1,-1,304284,-1,-1,611876,-1,884607,-1,485114,389019,-1,990940,177914,691385,-1,-1,813113,480260,-1,-1,-1,-1,-1,-1,390564,-1,623834,-1,-1,873223,195659,-1,730794,-1,-1,751331,-1,477328,-1,-1,-1,749278,-1,388203,-1,742873,-1,758688,-1,832709,179704,-1,462516,872760,653498,633091,-1,-1,326545,-1,165177,-1,-1,-1,-1,60463,723855,656984,806734,-1,-1,765418,-1,-1,112352,-1,-1,-1,-1,-1,-1,752724,948284,-1,-1,691436,-1,-1,473278,231440,925395,551033,534525,127213,-1,-1,-1,524440,821602,-1,-1,-1,908416,622730,530043,-1,182989,489869,-1,-1,-1,933883,-1,685727,-1,307198,406862,-1,-1,-1,-1,-1,-1,-1,-1,771555,514811,566722,339491,-1,832054,-1,-1,225915,-1,-1,445246,224218,-1,-1,793437,316011,-1,876756,-1,-1,-1,-1,787461,784089,-1,-1,734649,292637,845200,-1,-1,489,-1,-1,713197,249787,-1,-1,980404,-1,207601,-1,951532,-1,18416,-1,-1,-1,469626,-1,158272,-1,53960,407584,92963,892237,886759,686059,378155,613624,-1,-1,429956,931305,-1,859385,961682,-1,242251,335564,944813,92031,-1,-1,-1,27250,528173,-1,-1,705536,214941,951381,626315,711968,187807,-1,522882,674850,-1,-1,171611,-1,-1,-1,485777,-1,-1,811080,796455,326347,993729,928318,349379,773876,-1,223794,948394,-1,-1,459419,-1,-1,-1,-1,-1,777177,-1,445461,34411,322484,953864,-1,-1,487691,-1,-1,745603,-1,612012,732476,275063,759768,831654,-1,560240,-1,-1,-1,11279,260151,427911,620354,-1,-1,-1,-1,-1,408735,-1,-1,388516,149059,-1,-1,407015,-1,772166,-1,-1,-1,144981,63837,-1,-1,-1,475177,-1,-1,-1,-1,-1,410481,-1,220462,-1,-1,-1,12558,166170,516686,-1,478896,-1,-1,-1,-1,-1,235054,-1,-1,669377,-1,-1,-1,589860,650781,-1,585520,-1,-1,599659,387811,963708,371954,-1,322381,-1,-1,-1,221529,234233,810019,-1,-1,685404,181734,-1,733986,-1,-1,-1,-1,876021,771107,-1,616431,748504,-1,515601,-1,-1,-1,-1,390832,-1,-1,-1,872594,716702,302287,-1,-1,447483,-1,-1,-1,-1,-1,-1,-1,280850,-1,-1,-1,155197,600062,472656,21733,781934,366067,-1,842498,-1,316618,62190,-1,742262,-1,-1,413494,-1,746063,388247,702742,-1,-1,-1,317532,520331,63223,-1,61927,854082,-1,-1,-1,-1,858884,-1,99801,-1,-1,-1,-1,267280,-1,-1,-1,-1,-1,-1,370505,219621,-1,123533,921057,14349,-1,-1,96298,-1,364744,613003,-1,-1,-1,557037,500247,-1,181711,493178,87180,-1,686362,991275,-1,739042,-1,999719,329171,-1,776382,522877,-1,852536,531698,-1,-1,-1,-1,961202,860298,-1,-1,-1,942494,-1,574035,-1,-1,465240,-1,-1,762996,-1,-1,-1,572442,-1,-1,817667,479185,-1,412811,190545,987635,999431,-1,939882,909287,617644,45567,-1,-1,827248,-1,242495,-1,-1,190348,-1,452677,-1,-1,511111,-1,806478,566963,868289,323360,-1,-1,833454,826444,82970,702915,-1,-1,91418,-1,470247,308801,-1,986100,622424,555158,-1,-1,601527,-1,-1,-1,-1,-1,123536,275101,-1,-1,576922,-1,640557,-1,-1,514477,525148,-1,84094,677483,-1,468481,-1,-1,483473,-1,-1,474199,-1,-1,-1,-1,-1,-1,106409,-1,117637,516179,946510,-1,78900,278210,-1,781487,128767,-1,-1,449130,296614,-1,147499,-1,384783,797118,-1,198456,46794,609189,-1,-1,201310,858453,-1,-1,41363,-1,821919,380943,950780,73233,833569,124418,178488,-1,-1,-1,29357,-1,-1,65600,-1,751943,844913,-1,-1,213002,-1,521464,-1,429598,716565,-1,-1,744876,218746,685052,-1,-1,-1,54333,-1,-1,-1,-1,-1,295216,37533,900190,473669,523928,996153,150696,453191,916766,836869,-1,-1,-1,-1,399344,255938,-1,753159,965990,471275,-1,-1,130604,-1,-1,547574,378582,-1,-1,787171,-1,590576,-1,-1,426586,828200,41205,-1,-1,-1,90752,452892,-1,612991,724992,-1,-1,151978,160593,-1,-1,-1,527241,106473,-1,482390,-1,782564,890255,850270,-1,241839,729813,866265,478056,-1,531000,808230,-1,-1,-1,-1,-1,-1,887228,-1,-1,525186,646061,-1,-1,702813,-1,-1,304315,490964,-1,-1,-1,-1,-1,572339,885726,-1,624853,704857,-1,797440,-1,377718,-1,881392,310338,-1,860963,715122,479560,196290,-1,-1,375911,229475,-1,-1,898661,-1,925631,654800,-1,663823,-1,-1,-1,-1,151426,-1,44261,79207,-1,284278,-1,867880,-1,-1,-1,641469,-1,-1,-1,-1,138776,-1,320065,691124,-1,400226,398312,836566,43791,570018,-1,-1,242634,-1,-1,221813,186108,756849,406457,113537,-1,70421,-1,345624,18361,-1,-1,-1,-1,-1,-1,-1,61245,478567,-1,-1,-1,-1,771698,-1,-1,886054,-1,-1,-1,376362,835494,-1,285658,-1,-1,46961,547252,606111,-1,49225,-1,32811,-1,329779,-1,659487,-1,664740,-1,-1,790890,205892,613390,192611,-1,-1,936255,-1,-1,-1,-1,-1,267230,-1,-1,-1,945923,-1,511457,282752,676569,-1,785819,-1,905048,510556,-1,-1,-1,557345,-1,-1,589940,108930,-1,-1,-1,692961,914071,278016,8930,-1,915255,410702,-1,-1,371203,609382,-1,-1,559886,735396,125940,-1,640556,-1,-1,563265,781072,-1,-1,829154,-1,-1,385377,403534,669288,-1,-1,-1,-1,88447,-1,95400,970438,-1,-1,886843,-1,-1,-1,860996,554696,-1,-1,-1,-1,-1,669640,379432,587251,-1,-1,967480,303385,-1,324197,363832,243619,-1,842385,-1,889097,-1,-1,-1,730917,-1,-1,-1,489095,127727,794198,185886,856025,-1,-1,-1,-1,435328,481028,489010,-1,312244,-1,-1,-1,32560,-1,832289,-1,-1,-1,825405,574328,935146,-1,132083,364471,502495,703217,921849,-1,121142,-1,321322,494809,-1,-1,928356,-1,83667,-1,832130,352329,469875,708122,10309,774860,-1,905341,126520,-1,-1,416711,-1,-1,-1,931839,872566,708562,-1,42082,775808,-1,-1,-1,812574,835294,-1,-1,-1,-1,-1,-1,891243,460938,879288,66554,249828,991420,-1,184163,643718,-1,-1,-1,128095,-1,-1,757314,774932,47760,-1,858923,831004,-1,929790,-1,-1,-1,-1,-1,247702,-1,-1,576859,274069,626215,363172,-1,-1,-1,-1,279964,753086,450692,846439,52705,-1,-1,915562,976593,580549,537432,960500,132526,-1,-1,-1,131148,558876,-1,374760,-1,68878,-1,-1,233553,600449,852640,275840,-1,-1,365042,894064,519933,404326,606427,505533,-1,642764,443002,-1,956706,-1,-1,469990,780781,105189,-1,-1,74120,-1,-1,-1,26680,50782,-1,-1,-1,-1,-1,-1,-1,832350,95323,695160,235621,-1,149355,-1,242354,612358,-1,-1,-1,-1,-1,325469,596847,200963,662074,-1,664660,720763,-1,-1,424746,916430,38018,-1,591277,591651,-1,-1,-1,132626,393948,-1,69726,177622,238371,558668,-1,868273,35804,-1,621596,-1,-1,-1,226580,-1,441690,132736,-1,-1,219052,-1,-1,224172,432489,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,995398,-1,-1,275830,326852,-1,-1,771627,-1,662781,714429,-1,870050,-1,847716,-1,-1,-1,-1,287889,313089,-1,-1,256933,86539,-1,-1,799860,188144,-1,-1,-1,781631,-1,-1,-1,-1,110322,92065,-1,-1,-1,411148,-1,-1,-1,884128,-1,22769,759816,-1,238465,-1,609122,-1,164728,227309,-1,-1,72764,-1,-1,-1,-1,-1,127923,-1,316347,696088,770410,881501,-1,177339,-1,-1,-1,-1,-1,-1,-1,15605,85682,180116,698474,-1,-1,486537,-1,819164,570501,947607,988084,-1,657886,184278,453214,-1,414761,-1,920575,-1,576039,785889,-1,396036,377732,465755,996852,59282,472294,-1,-1,-1,686922,-1,-1,-1,632948,278029,551306,-1,-1,65986,83860,787402,-1,684934,-1,837432,-1,676761,-1,877572,-1,178252,-1,-1,316046,863318,800617,-1,42285,-1,161762,-1,-1,-1,637580,-1,252168,695649,-1,-1,505133,781844,772789,-1,-1,-1,963249,540664,715441,378560,-1,-1,-1,434079,260907,737850,-1,210726,993409,-1,-1,-1,-1,-1,-1,791422,-1,-1,754817,-1,-1,220715,345707,915009,26826,-1,-1,623715,960198,-1,-1,528681,-1,-1,907573,14433,-1,-1,467791,913034,876356,422908,327248,114308,-1,-1,-1,-1,37329,-1,741432,205943,590460,806583,468976,-1,-1,-1,-1,40490,-1,-1,-1,617251,167429,-1,-1,-1,923796,586209,925148,138666,72612,836956,-1,453454,65430,772664,22104,287474,-1,-1,-1,654301,-1,-1,999645,222209,499668,-1,-1,-1,-1,-1,753852,-1,447265,-1,-1,779065,764967,-1,827617,-1,-1,-1,967983,-1,569418,-1,-1,564709,565634,794114,596376,-1,401194,985816,-1,597881,-1,-1,154044,-1,965918,-1,-1,-1,300610,-1,-1,-1,-1,-1,-1,444506,-1,975640,665071,708632,88174,801744,-1,666335,719322,990665,541475,-1,463760,383139,808765,-1,245565,481466,-1,-1,-1,-1,405683,-1,-1,171188,-1,-1,413387,-1,100403,721794,-1,776158,195406,235066,150638,-1,-1,753858,-1,311619,-1,-1,714246,951109,-1,66723,139270,245027,575727,563958,946887,480264,-1,-1,-1,662243,166956,638550,-1,-1,24384,-1,-1,-1,246495,-1,438113,749341,759344,888455,-1,399921,710135,-1,990048,-1,-1,-1,-1,-1,726649,-1,-1,965498,-1,-1,267314,714188,-1,-1,7682,419130,-1,-1,58292,216064,-1,514651,-1,-1,983950,210609,-1,174153,51906,-1,-1,-1,-1,-1,444076,581712,437686,253620,946262,-1,-1,884605,183183,45958,-1,253962,380521,-1,506345,-1,-1,-1,-1,-1,170882,-1,-1,915584,-1,715007,629150,-1,684436,230435,-1,776552,-1,-1,-1,-1,972673,-1,-1,559849,159578,13854,61795,897566,158851,-1,162017,-1,-1,-1,978243,-1,355936,-1,-1,-1,997502,604235,310640,-1,-1,-1,566517,114777,-1,108899,-1,-1,-1,-1,183776,-1,271578,-1,128376,138898,-1,973098,437015,-1,-1,-1,715318,574815,-1,-1,887090,290557,-1,-1,-1,340467,828672,471296,-1,166835,202340,-1,743365,-1,776159,362680,986767,993731,-1,-1,-1,-1,-1,-1,-1,448600,157806,-1,285429,-1,-1,365267,-1,138027,-1,620308,380098,-1,538792,677387,-1,727817,-1,-1,-1,-1,-1,147932,377978,280018,-1,-1,189605,-1,-1,-1,915120,-1,234941,-1,-1,11671,-1,-1,-1,237861,-1,-1,-1,247976,-1,81031,44641,-1,-1,251059,564826,-1,120894,708835,-1,-1,-1,938100,-1,589937,598881,-1,-1,-1,113405,922924,960654,156248,853368,661715,109007,-1,-1,169802,723816,-1,-1,-1,537886,217782,-1,-1,7404,-1,-1,185052,746681,502407,-1,-1,452254,-1,-1,-1,-1,644494,-1,-1,245808,-1,-1,-1,-1,613515,930321,287475,-1,282571,725974,148242,883605,-1,-1,178350,412555,-1,212861,-1,576773,-1,-1,926142,-1,831434,-1,53411,53695,-1,633951,-1,-1,-1,-1,742443,-1,-1,-1,-1,845793,683211,-1,-1,-1,645342,-1,-1,347158,-1,258142,121351,795229,-1,-1,-1,-1,756872,7730,-1,818867,-1,818893,880813,244047,-1,749655,-1,768817,-1,-1,-1,-1,-1,-1,-1,78828,-1,-1,851046,105285,528845,-1,987666,370698,-1,402625,604284,-1,-1,826571,-1,-1,255212,-1,-1,-1,-1,-1,-1,-1,939411,166951,381322,802084,-1,850401,-1,-1,-1,194058,454124,247906,-1,349717,-1,817205,948286,58388,94458,901908,-1,-1,-1,-1,-1,170675,-1,548002,936823,-1,-1,-1,469182,-1,-1,-1,235101,916150,-1,122908,780844,-1,269552,-1,-1,-1,973571,-1,889920,-1,773130,-1,-1,327983,287481,720100,986136,807776,207704,468928,741415,230415,-1,-1,968684,-1,835701,-1,256467,-1,-1,-1,-1,221955,-1,363255,770256,979563,-1,476415,654952,550269,-1,-1,-1,210508,357700,-1,-1,-1,585989,970537,218448,-1,662543,-1,-1,-1,764986,-1,294097,143402,869830,-1,149631,-1,-1,-1,-1,882770,325563,564941,-1,88320,836915,-1,-1,307100,822651,743587,-1,-1,-1,-1,687915,-1,-1,462449,-1,390373,58919,-1,96365,-1,129005,823827,602637,-1,-1,407211,36439,548121,181733,-1,-1,-1,-1,-1,109912,-1,-1,67909,-1,-1,-1,-1,548912,769502,685086,-1,-1,693608,-1,667533,940774,410937,407194,-1,658495,291042,797762,-1,-1,-1,-1,36239,398952,-1,110772,-1,347190,800351,723611,-1,-1,647715,214852,260950,341448,876251,401084,-1,431971,439813,-1,265618,34021,623762,483774,-1,-1,-1,-1,-1,774074,162460,-1,659888,181556,-1,-1,-1,450500,548243,586280,-1,-1,-1,832584,-1,-1,-1,517154,463129,72445,115733,-1,895400,195128,-1,305739,121067,200601,-1,474090,-1,-1,916218,45202,45661,-1,-1,-1,300019,-1,573214,-1,-1,-1,-1,-1,647180,257907,898438,-1,947167,-1,517439,-1,67477,-1,776184,-1,-1,-1,-1,26421,-1,-1,955901,931902,354401,829169,-1,882720,225079,565253,445435,-1,-1,-1,-1,-1,86925,-1,-1,891070,934968,-1,-1,945218,173899,-1,-1,-1,-1,275642,369625,442344,444758,474580,-1,-1,705078,64658,-1,-1,528140,367429,8548,309902,-1,-1,774042,663818,714068,333859,-1,-1,-1,-1,-1,-1,-1,-1,868369,684830,-1,-1,343430,-1,-1,-1,904602,942103,681949,32860,-1,-1,-1,-1,-1,45321,589776,-1,-1,492442,-1,-1,649942,-1,-1,703084,-1,195758,-1,-1,-1,349184,-1,19895,117177,264339,517969,-1,-1,-1,645298,-1,667624,773694,-1,-1,963420,-1,767058,707932,-1,371249,986686,489143,439972,-1,-1,221080,-1,-1,-1,-1,175321,535086,-1,386951,162170,-1,749797,598079,-1,-1,349249,909957,509811,668659,201842,64710,-1,888606,-1,-1,774969,-1,211929,534117,573923,-1,-1,830444,296809,-1,-1,-1,917207,484793,-1,-1,-1,-1,-1,-1,445147,455937,-1,-1,-1,-1,-1,213580,222366,-1,968595,946685,-1,180148,-1,-1,-1,-1,-1,-1,-1,545691,288902,849538,-1,-1,847429,781130,764294,870280,779416,141860,531677,819613,-1,-1,545943,-1,659068,-1,-1,-1,-1,-1,-1,-1,289935,483909,635228,892068,680897,-1,-1,-1,218068,740725,-1,-1,243409,802578,792718,-1,-1,654918,-1,737135,-1,169809,531996,116469,405358,-1,-1,-1,-1,-1,-1,547074,-1,979951,464988,883597,306913,-1,-1,933847,177918,-1,-1,280141,-1,555863,-1,-1,186128,539624,68616,-1,-1,948133,-1,865146,-1,-1,957933,188060,262577,739402,-1,183307,732189,228767,498217,-1,242674,143354,646547,-1,925787,754044,867298,380421,502325,214724,-1,-1,-1,-1,713127,928501,941320,324605,130276,-1,707234,-1,411167,-1,805967,-1,-1,-1,-1,-1,477605,-1,-1,657967,-1,531687,121579,-1,-1,-1,-1,537860,-1,841285,351135,-1,-1,-1,-1,-1,804162,-1,159822,-1,-1,-1,-1,-1,-1,303689,351494,-1,-1,-1,-1,109071,-1,-1,-1,909334,879758,526159,905866,-1,-1,-1,537764,-1,387195,887224,-1,197625,71464,976517,-1,-1,-1,497146,-1,811767,708933,-1,-1,-1,-1,-1,453669,-1,274502,-1,-1,-1,-1,742920,-1,-1,-1,946066,471209,-1,483662,636318,59832,526631,-1,110628,659449,-1,421475,-1,467746,-1,-1,-1,105722,-1,954244,278356,126937,-1,79947,37154,-1,-1,726909,-1,733201,-1,-1,-1,-1,-1,-1,786950,-1,490649,-1,-1,781766,-1,-1,699603,-1,376507,-1,-1,-1,218771,552346,846715,12367,364546,789140,-1,743616,-1,566813,104204,-1,-1,-1,-1,496812,37683,-1,-1,903666,-1,996227,676963,-1,-1,703056,-1,483452,-1,-1,-1,552358,-1,-1,-1,-1,23675,899442,-1,182236,564622,-1,462812,411604,-1,145238,-1,-1,571356,960098,-1,-1,-1,-1,20185,-1,-1,-1,644224,-1,-1,928874,640352,-1,819224,304068,885758,445710,680569,-1,-1,-1,974074,-1,59739,676727,-1,-1,802245,-1,-1,115678,-1,-1,-1,-1,669321,-1,725138,298253,-1,889038,109530,586066,322298,-1,-1,-1,468420,-1,-1,704814,19206,-1,-1,107679,-1,-1,769686,975589,-1,-1,129054,550762,-1,171034,-1,-1,525823,-1,790122,-1,-1,795989,923475,532991,-1,-1,684563,-1,-1,-1,-1,781062,892965,890538,541861,580953,257164,-1,794722,519284,115780,930641,-1,-1,723542,277531,-1,513386,725061,246164,820627,660437,-1,-1,-1,930455,-1,265409,159839,802865,329946,-1,322844,-1,69933,-1,753534,962935,-1,380226,686282,945500,-1,-1,-1,595969,-1,-1,829497,126839,579940,-1,-1,-1,716090,320641,992723,-1,362179,-1,996371,-1,950723,-1,213046,-1,747446,-1,-1,235237,-1,-1,-1,-1,622859,-1,339893,-1,-1,-1,-1,122239,137542,49370,-1,348053,-1,-1,275581,-1,-1,847756,174407,-1,86203,-1,-1,969097,480681,31947,939634,-1,834067,628217,-1,121745,900983,-1,331241,-1,-1,24228,-1,921662,-1,-1,-1,-1,-1,-1,428838,533739,-1,737361,613339,-1,857309,545323,-1,-1,167235,121600,314696,758680,992464,43584,768832,-1,435411,988249,570363,-1,761457,-1,-1,-1,-1,-1,786707,-1,538844,-1,-1,156361,-1,326620,-1,-1,-1,-1,-1,633929,-1,-1,-1,85978,-1,-1,-1,-1,36522,-1,483787,-1,-1,-1,-1,254756,-1,-1,29080,226076,588243,-1,-1,-1,-1,-1,-1,828369,450267,-1,712430,-1,112194,-1,949694,526074,494507,-1,-1,546808,314705,-1,-1,-1,-1,367343,139533,-1,-1,281498,-1,-1,927565,-1,59667,-1,-1,-1,-1,-1,-1,-1,199277,902816,452850,250116,-1,869602,-1,-1,-1,-1,-1,121704,-1,-1,151161,973495,976806,-1,197478,833111,863855,-1,-1,-1,651068,-1,-1,-1,-1,-1,-1,-1,363099,-1,-1,712306,418076,161763,272402,35167,-1,-1,234402,417357,327719,-1,-1,770574,318982,-1,-1,670871,-1,574048,-1,-1,918374,395889,-1,756864,679743,842389,-1,773826,-1,-1,-1,-1,-1,-1,96245,466252,-1,-1,-1,-1,287369,-1,-1,442674,550339,329708,93362,911248,981794,-1,-1,-1,158094,873399,89026,-1,-1,-1,432343,-1,-1,442996,-1,999882,-1,955873,50621,-1,913182,-1,826535,-1,788129,-1,362345,796608,280425,-1,-1,-1,2603,-1,152591,-1,-1,197541,794788,507527,-1,-1,-1,-1,-1,190128,-1,432549,877567,-1,1998,10792,-1,555078,-1,363287,945488,-1,-1,-1,-1,-1,55409,-1,-1,12425,-1,-1,600380,-1,940088,78715,29122,514507,-1,702189,932090,201399,-1,-1,-1,-1,988042,-1,-1,-1,-1,521909,936415,803486,760368,36809,458324,49820,-1,340478,411941,351279,-1,-1,-1,740388,893253,884356,-1,78048,753568,-1,-1,-1,935699,137265,-1,161979,-1,835108,-1,-1,21938,-1,366536,-1,-1,704447,178766,-1,-1,-1,818972,95785,-1,447802,711712,-1,-1,-1,-1,706865,963566,71665,425140,659688,915512,736592,-1,-1,-1,199013,-1,-1,152774,-1,482064,-1,667364,-1,-1,-1,-1,-1,782274,-1,-1,761084,-1,469475,22588,831928,373883,294558,989155,708870,-1,314193,-1,-1,140621,653984,-1,-1,445024,-1,104098,811037,343891,878605,-1,-1,-1,-1,-1,380451,-1,405689,8329,283833,-1,404541,607664,-1,-1,-1,810650,-1,-1,-1,11556,838421,377488,343081,-1,247745,654443,241497,-1,-1,-1,-1,-1,-1,-1,-1,-1,259549,761530,-1,-1,76669,198772,-1,821964,941195,305733,-1,677076,-1,-1,-1,681207,924633,-1,-1,-1,777088,750780,-1,-1,-1,-1,449171,-1,770214,416883,-1,-1,-1,648870,76730,-1,-1,975197,294909,730818,423962,-1,-1,697637,-1,49593,203281,-1,-1,-1,-1,414765,18706,624920,781701,-1,-1,-1,779299,-1,648257,559092,-1,103482,-1,865449,-1,-1,767952,929903,-1,-1,291414,269664,271193,619412,920487,-1,925589,255877,-1,-1,847881,543683,-1,-1,135252,-1,959739,41814,184533,995144,189102,-1,694501,-1,182214,143258,545303,-1,543744,35650,826530,-1,634303,-1,581736,581119,966492,48310,285033,-1,957642,741448,-1,-1,-1,-1,-1,929392,84944,-1,-1,174756,94885,442893,417506,809256,-1,-1,-1,721103,623342,-1,-1,-1,-1,456133,-1,161318,-1,-1,273596,98150,496214,782124,116136,-1,139439,386333,-1,567249,465356,-1,-1,619078,-1,-1,-1,-1,108682,757720,915660,-1,244550,999049,-1,468720,-1,189169,48903,482178,-1,496256,-1,-1,210898,-1,693937,-1,-1,-1,-1,-1,338572,990437,-1,-1,-1,290983,146174,-1,-1,995869,-1,328795,328229,971614,-1,-1,-1,-1,734385,803523,870126,799852,945439,-1,855614,-1,466774,766885,-1,881186,455728,-1,942163,427395,-1,-1,738027,761444,900733,-1,-1,381231,970885,416820,412206,710779,-1,353386,473169,526160,431678,-1,-1,4354,764075,-1,-1,801722,432592,151031,37956,-1,-1,332107,-1,13336,300043,-1,-1,-1,337599,406358,814101,548358,-1,487366,-1,214364,461918,586405,630632,132001,-1,325823,337958,116975,830898,915446,52736,634784,926663,99871,-1,-1,-1,770501,-1,-1,593449,936480,-1,-1,-1,-1,-1,-1,178193,349915,-1,-1,-1,-1,-1,-1,-1,303769,-1,-1,787970,307655,-1,-1,-1,919013,164847,-1,784824,-1,688174,-1,64792,-1,431996,431579,-1,722610,573599,-1,-1,590060,-1,-1,-1,-1,70720,-1,711265,643560,622745,300516,196897,475225,-1,320524,779495,-1,548690,656678,-1,900703,-1,103834,106995,894303,-1,450288,284288,-1,-1,146270,6653,567412,-1,-1,727649,611644,884375,226249,-1,680468,410015,-1,985633,599971,-1,56045,421155,459998,653937,582553,650267,43898,-1,-1,381046,556128,-1,267713,311858,384647,-1,174244,-1,555982,725121,-1,-1,254340,584205,-1,519557,-1,555129,-1,174831,593515,899621,806383,-1,438055,753111,118675,-1,113034,-1,943787,-1,35720,-1,-1,-1,262488,-1,157476,-1,-1,-1,635568,-1,-1,-1,-1,433317,-1,-1,949049,-1,-1,-1,997102,52596,107410,-1,299181,-1,-1,-1,720335,962191,436820,-1,-1,90337,513803,-1,519149,-1,187762,182834,932305,-1,730652,273368,-1,473754,-1,-1,-1,876672,455334,380601,408726,77764,-1,278358,132950,833953,904654,172521,-1,-1,-1,313499,-1,141378,851907,249904,-1,439044,-1,-1,913870,-1,-1,691170,505853,-1,-1,-1,-1,-1,-1,958312,-1,432579,561703,197711,-1,-1,308267,237572,-1,368733,261720,165113,199881,296665,-1,-1,775495,346735,489435,274719,522740,382115,-1,-1,964834,-1,152043,142162,900158,-1,863456,517393,880411,345691,774057,-1,243868,399135,884963,661664,907358,-1,242980,-1,-1,-1,-1,534347,53019,-1,767791,716324,-1,762721,-1,658151,638469,-1,-1,974541,-1,-1,591884,-1,30877,432783,-1,364550,231410,-1,-1,-1,-1,-1,-1,683920,939932,-1,784540,637127,856760,856379,803513,454509,-1,8586,748523,-1,53694,561322,-1,11662,173541,435771,-1,211441,-1,-1,-1,594705,-1,-1,45877,-1,12518,108403,792870,172649,-1,-1,-1,671357,832300,277178,-1,898151,-1,-1,-1,769824,523113,-1,-1,660860,-1,350546,314905,968493,303815,-1,-1,444633,843970,996379,221582,-1,706928,-1,471554,-1,340448,-1,236663,76293,-1,859184,-1,679855,857973,-1,736985,-1,815682,-1,-1,715770,809170,-1,137632,-1,-1,-1,-1,38364,721795,96310,569497,-1,-1,60676,13636,-1,-1,426332,376724,707698,-1,821806,355569,841923,862874,705238,487636,93391,-1,244544,-1,136701,588995,948826,-1,-1,-1,190529,-1,-1,-1,468997,369125,477907,-1,-1,-1,-1,416499,633152,-1,-1,-1,615687,356850,755738,403958,361541,-1,663212,-1,383101,-1,-1,-1,-1,-1,-1,821411,621339,407335,683103,-1,-1,-1,-1,-1,127894,472897,183350,-1,115715,-1,584257,-1,902345,98671,-1,316593,483700,-1,948722,672210,922086,-1,-1,342017,625768,-1,526616,-1,-1,783672,93779,760949,-1,133887,695911,-1,-1,-1,996245,-1,-1,833344,554796,956102,11691,-1,973319,803032,785932,112055,-1,-1,174421,-1,475541,300125,-1,988886,-1,-1,638898,395581,899451,-1,674714,838660,635400,-1,232976,222425,648364,-1,-1,-1,-1,511284,-1,759276,-1,378697,972290,457686,-1,816727,-1,-1,785061,-1,-1,880503,-1,852866,250242,-1,650498,-1,971956,-1,773096,39924,39108,-1,-1,273706,-1,852963,-1,106216,2304,-1,44145,6270,835792,-1,93500,304582,17940,-1,969076,-1,913956,-1,657478,-1,420599,141266,-1,-1,-1,274388,144182,-1,-1,610861,975730,-1,609577,-1,-1,-1,826675,284448,328515,-1,-1,983235,-1,658060,-1,-1,819524,72797,262718,-1,585905,-1,-1,-1,-1,657185,926547,390026,-1,212823,81878,713885,984876,369943,288178,485314,728970,859228,-1,888843,-1,-1,-1,-1,923828,-1,-1,761434,965943,595765,637517,160806,-1,-1,373100,368613,-1,78523,-1,-1,990324,813009,-1,-1,-1,621808,-1,634403,432135,-1,968761,-1,634116,488720,-1,-1,409285,957709,-1,-1,-1,-1,782721,937676,-1,979377,-1,374202,-1,-1,-1,-1,-1,126153,584985,895008,-1,-1,488362,-1,173735,-1,-1,593737,-1,848982,633971,-1,320622,-1,-1,-1,-1,781970,-1,-1,481966,-1,221838,-1,830798,-1,-1,750715,989126,520153,469268,797321,-1,964642,-1,-1,581179,-1,169691,135954,-1,-1,-1,834531,-1,931333,-1,-1,815381,270709,-1,841586,-1,83637,584198,-1,-1,825701,49923,461140,-1,-1,-1,-1,605775,-1,-1,-1,813553,-1,265326,-1,859704,842440,433823,-1,139173,800549,-1,-1,306551,-1,-1,195308,-1,186514,-1,43936,248335,-1,-1,141630,727415,-1,344854,-1,65126,-1,-1,-1,389703,-1,-1,916784,666219,921106,940270,-1,-1,-1,911665,-1,466129,610341,269862,117267,-1,-1,-1,-1,-1,-1,-1,989726,-1,-1,-1,121458,812621,471425,-1,508583,650392,860324,825420,470428,-1,-1,-1,-1,-1,-1,182994,-1,34102,294546,-1,39981,403559,-1,-1,209325,106822,-1,-1,-1,-1,176417,39139,676024,-1,759236,114813,306509,-1,85963,-1,-1,76474,-1,-1,354377,-1,124557,419686,822050,554339,-1,659418,936305,113355,959537,-1,-1,772862,-1,456115,-1,573038,558776,633107,-1,-1,-1,-1,-1,144201,-1,-1,-1,500415,-1,364063,-1,617282,736686,49253,343393,523031,-1,892623,-1,-1,-1,364755,-1,873808,719299,-1,234776,-1,-1,-1,-1,-1,-1,44976,-1,441544,784387,-1,758662,-1,580850,898016,-1,381586,743597,-1,-1,805988,-1,233924,-1,-1,-1,-1,923529,819991,-1,337909,4149,-1,237826,147294,-1,-1,917669,352894,-1,-1,-1,341158,368554,-1,316170,-1,-1,751056,925028,-1,141339,490935,93660,-1,-1,-1,899675,492129,264770,778847,-1,577843,210699,670098,-1,957133,94348,649534,979092,565723,763396,-1,730326,915171,-1,254816,551442,-1,-1,-1,-1,-1,957282,-1,324368,202759,511385,-1,-1,-1,-1,-1,93767,232154,897300,980834,218559,-1,-1,-1,359736,-1,63924,441497,856850,894360,-1,734037,490482,-1,-1,408247,380320,-1,-1,643095,-1,-1,-1,-1,187035,-1,962266,-1,421023,-1,-1,45869,800815,933417,-1,485610,10300,-1,-1,20349,40225,379841,876362,275965,-1,-1,870546,-1,22855,817225,209606,338185,207731,-1,757886,-1,529095,-1,-1,449361,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,484301,746041,-1,475400,926957,177611,-1,190013,-1,402918,7104,-1,151043,125169,-1,-1,-1,58878,390562,-1,874339,-1,-1,706515,698104,-1,325799,853653,-1,235508,887858,326168,672767,-1,-1,921941,-1,292816,333145,-1,778075,159996,-1,282633,-1,-1,-1,312316,-1,314946,840818,-1,764202,-1,367687,196436,949321,629821,-1,-1,573869,655819,926146,-1,-1,979857,-1,-1,-1,-1,785405,-1,-1,-1,-1,666620,-1,-1,-1,-1,-1,-1,-1,276472,-1,598415,-1,442991,405518,-1,-1,-1,501575,-1,463472,-1,345146,-1,-1,926472,623603,417834,352713,377475,258579,-1,-1,322173,-1,-1,602068,908721,-1,-1,365688,276173,891182,149982,-1,824626,-1,-1,-1,-1,-1,-1,540477,-1,-1,771594,45384,227105,897043,-1,-1,822237,-1,464792,183593,713433,524833,-1,684080,-1,175592,-1,-1,-1,-1,-1,70241,-1,48425,-1,43262,-1,-1,-1,934273,-1,744196,396250,-1,185461,648611,-1,967034,542008,487639,382029,-1,179642,843646,304185,413595,305210,-1,426450,751226,-1,-1,679746,-1,766718,174659,45189,481759,609787,338623,-1,709603,-1,842005,481725,220925,-1,-1,-1,-1,178802,-1,-1,-1,-1,-1,-1,-1,492010,-1,-1,353290,671627,482456,932611,-1,2303,-1,472569,858689,745939,-1,-1,-1,989358,-1,-1,380923,19105,-1,149981,-1,-1,309532,-1,-1,-1,285490,689929,906363,236,788698,675946,-1,660722,423771,-1,-1,-1,-1,-1,667916,-1,924801,644808,842912,-1,17403,-1,-1,-1,807684,550861,-1,-1,-1,724626,-1,507831,-1,-1,804234,-1,-1,-1,916954,-1,-1,815339,535860,324558,375146,559422,94,-1,204015,41609,-1,343829,932945,-1,744079,-1,-1,53104,-1,470921,806412,995505,-1,-1,-1,556260,-1,785582,-1,-1,608583,645949,-1,959247,-1,762591,-1,-1,505680,308564,453547,578670,94169,269475,161127,2685,-1,327633,566341,-1,-1,-1,141153,251390,-1,-1,834296,-1,996778,-1,598798,-1,84099,-1,-1,579366,-1,83356,-1,895404,851705,-1,-1,-1,-1,-1,-1,-1,730329,-1,24554,-1,79201,993143,388305,-1,-1,-1,618263,513234,-1,-1,-1,448052,-1,155815,-1,-1,-1,810996,-1,-1,885974,487329,669790,895388,152863,-1,935415,858259,283364,187614,972592,-1,782681,-1,-1,-1,-1,745281,-1,-1,-1,-1,367026,-1,-1,20919,438856,794948,222605,184307,-1,-1,-1,-1,70844,962502,-1,356567,962088,571030,-1,-1,408149,343978,515761,-1,-1,-1,-1,982134,-1,-1,-1,-1,956520,-1,279676,669556,238404,822792,845829,-1,9086,31932,-1,781093,276868,-1,302956,-1,576772,939326,-1,-1,-1,-1,139093,-1,121466,193994,-1,220095,835122,-1,-1,878782,-1,-1,975711,745774,291649,-1,-1,-1,304375,619289,617,-1,974471,-1,-1,314209,-1,736830,992593,-1,512871,-1,905663,431292,-1,921086,874300,171816,-1,103176,-1,-1,-1,587587,-1,-1,3211,728301,-1,-1,-1,-1,-1,-1,933008,-1,516040,-1,-1,819276,626522,-1,305004,889186,-1,908930,-1,-1,-1,-1,-1,191083,-1,52710,-1,-1,92743,-1,691615,423504,705009,-1,772308,-1,982373,185089,701157,-1,959955,-1,876775,-1,-1,114328,-1,-1,-1,777003,-1,662724,155008,721069,721897,950512,-1,-1,751956,-1,-1,504848,660555,-1,774069,-1,-1,-1,-1,-1,754261,620295,331937,659104,-1,-1,-1,-1,592749,885892,-1,124842,-1,227962,-1,-1,867099,-1,305336,-1,950826,260885,-1,-1,-1,578021,-1,-1,-1,66271,53280,360727,427767,763037,44044,-1,-1,-1,-1,-1,-1,460906,-1,833821,847564,-1,-1,337377,-1,421404,430735,632530,-1,939870,812625,-1,-1,809601,343298,-1,-1,474183,994518,602862,-1,-1,-1,457784,-1,-1,-1,895235,-1,472290,574758,-1,-1,-1,826500,97060,-1,51650,521357,355631,-1,-1,776892,751605,341860,-1,-1,454168,708271,871184,-1,749355,-1,688070,-1,-1,96562,-1,-1,-1,520758,-1,-1,13500,137553,-1,6292,83760,315911,226743,-1,8068,-1,-1,-1,-1,17905,-1,-1,710851,901229,613573,-1,-1,106603,-1,-1,-1,-1,-1,-1,-1,-1,981615,90225,-1,613292,396825,313827,-1,-1,-1,70704,589941,120674,131923,998742,-1,-1,793133,-1,-1,524729,-1,592674,926741,8358,-1,963655,186564,-1,904074,956628,818644,592123,820345,363938,-1,-1,516878,-1,-1,703516,-1,-1,-1,-1,836310,370225,-1,-1,12276,-1,707451,656285,-1,383930,471340,145320,-1,-1,-1,825527,-1,-1,337607,-1,-1,441815,-1,123974,-1,-1,316176,993864,-1,45176,-1,-1,935762,905479,108934,-1,-1,-1,805727,-1,269367,565038,-1,651029,-1,510635,-1,269956,-1,872038,-1,265447,478549,-1,606130,187190,-1,-1,-1,328398,970003,-1,-1,-1,-1,-1,710651,196551,351719,-1,-1,-1,50945,677056,765666,524738,68337,-1,-1,500895,-1,295653,433250,230635,-1,594264,-1,971644,957424,257721,363200,-1,-1,427164,962308,-1,-1,709727,131527,227969,141214,269929,-1,-1,-1,-1,619916,-1,-1,727536,211433,740610,737586,614054,741055,-1,-1,764097,-1,-1,322432,-1,295451,142101,-1,758975,-1,267304,108134,-1,-1,972806,313006,861182,973810,771593,972335,303614,-1,-1,833177,978031,-1,-1,696900,-1,792320,-1,903627,-1,408183,304900,565510,-1,-1,732796,88472,148897,-1,999982,455561,325271,430669,-1,906367,-1,-1,-1,-1,-1,531517,-1,634692,79479,-1,-1,370637,374512,256518,240613,449124,710840,215257,-1,245550,-1,83134,-1,-1,-1,188164,213984,-1,879704,893769,103086,-1,759862,674638,914981,-1,-1,65170,281922,809497,312360,512355,238093,-1,740244,45016,-1,171698,285216,331769,300074,768227,49028,873091,-1,-1,-1,659378,729084,751883,-1,-1,492566,-1,-1,156072,87994,-1,54927,39715,902984,475098,-1,-1,-1,619583,-1,-1,-1,508654,-1,417033,-1,-1,86058,736807,191726,-1,755987,-1,-1,478085,113100,739724,920174,72451,-1,-1,580564,779996,872411,-1,-1,993455,-1,41093,-1,236642,16034,836334,507874,-1,342176,878100,-1,-1,-1,133203,-1,331254,832780,456474,-1,45555,-1,-1,-1,661105,-1,24429,264598,275730,-1,-1,-1,-1,898289,-1,-1,-1,-1,-1,-1,-1,995604,-1,533405,918358,-1,-1,63294,-1,-1,397811,80330,-1,-1,-1,609315,533589,-1,-1,531295,-1,-1,-1,101915,-1,856276,-1,10809,657579,355690,-1,781959,-1,829405,150641,467478,-1,82461,487768,277263,-1,-1,174154,-1,-1,-1,-1,-1,-1,106568,-1,-1,-1,150867,-1,-1,640152,505639,-1,-1,597084,850938,919836,994810,283429,296434,-1,562123,419286,-1,-1,181197,-1,-1,-1,-1,-1,960096,-1,274339,-1,659015,-1,698670,614732,-1,967464,-1,55715,771255,-1,797255,-1,-1,-1,699344,575574,693653,-1,-1,538138,-1,639609,-1,-1,-1,-1,-1,-1,98554,-1,899917,-1,125921,622057,883775,68536,208625,732993,469100,-1,581236,-1,319704,-1,-1,-1,-1,-1,-1,62123,-1,585113,-1,374609,-1,-1,768663,-1,-1,383193,-1,473327,310587,372959,607437,-1,784937,90406,484798,526048,398085,-1,-1,18464,413694,784885,586682,-1,-1,-1,404032,-1,864483,963279,392138,-1,-1,-1,602365,-1,-1,-1,176036,-1,-1,-1,-1,-1,-1,-1,-1,914121,-1,770188,878645,70662,741999,-1,324086,696391,198335,-1,447647,-1,-1,473955,-1,263599,527449,655753,522948,863092,993006,65231,-1,9504,851722,-1,268258,643692,31094,131627,-1,798126,-1,-1,-1,-1,-1,-1,264586,490321,-1,-1,494385,-1,-1,759856,-1,951874,357423,213846,-1,431597,-1,-1,-1,688422,796490,-1,-1,895463,625184,361088,894323,-1,-1,-1,403413,-1,574190,702165,846887,545356,-1,-1,-1,-1,818103,707218,855488,-1,515369,927061,975088,-1,-1,798001,-1,465411,915551,816836,-1,411089,884168,843746,545158,-1,-1,794318,639194,772468,964509,-1,-1,-1,-1,-1,-1,-1,-1,-1,423035,-1,-1,-1,-1,-1,-1,79557,546565,909055,536486,119249,363057,355955,581699,-1,-1,897669,-1,-1,-1,453953,-1,-1,83790,-1,178092,369799,747221,-1,-1,-1,-1,-1,-1,-1,405730,384366,-1,-1,-1,163872,-1,776343,-1,455335,-1,417231,847216,-1,-1,725150,-1,-1,939528,-1,-1,-1,749493,-1,543587,370295,-1,-1,78564,-1,-1,-1,-1,724806,781887,-1,-1,-1,-1,-1,-1,-1,25366,993647,-1,204316,-1,793694,215701,-1,161157,912421,553699,333376,589481,621402,771261,-1,-1,-1,-1,-1,853174,-1,-1,62193,-1,96188,-1,431715,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,663647,292530,-1,977033,928553,-1,219886,448921,-1,-1,994813,170824,904952,778626,650373,-1,280062,-1,303784,541882,799377,893445,-1,-1,447630,-1,672140,90075,-1,840346,642551,-1,-1,-1,-1,-1,-1,-1,-1,27480,-1,598068,-1,-1,-1,920841,86677,667710,-1,-1,-1,468816,-1,-1,-1,1667,-1,149185,-1,711668,753925,392509,-1,621695,-1,-1,845721,815197,-1,820731,-1,448059,-1,939582,89170,197798,-1,409122,-1,860914,-1,799438,432375,-1,499526,-1,795448,847375,326428,-1,-1,901324,164888,241363,168614,-1,-1,-1,-1,-1,-1,-1,-1,-1,514982,715152,-1,-1,485694,-1,747766,-1,507844,-1,52432,-1,2756,-1,72880,-1,-1,395541,691262,281411,-1,768724,929526,332386,-1,531775,398807,80436,-1,301303,-1,-1,-1,414465,-1,45464,55243,-1,717493,-1,-1,-1,-1,307003,819513,-1,-1,-1,322456,-1,-1,191417,220402,-1,480897,195991,391085,-1,495915,925312,896228,-1,-1,383998,-1,678626,908542,423913,637025,-1,-1,197922,344711,871931,650836,-1,137232,-1,260555,-1,-1,-1,563557,-1,442790,79018,112849,641422,-1,627439,222202,-1,-1,702706,-1,-1,-1,-1,-1,447365,-1,-1,680910,799885,-1,-1,833544,636086,-1,877094,93450,-1,-1,-1,152621,283080,-1,655676,-1,794756,123068,251514,143660,520318,-1,48096,766712,-1,638077,750765,-1,-1,771024,577353,614764,-1,483798,-1,-1,632340,-1,936324,396555,-1,150746,-1,221929,989788,-1,854989,837324,-1,-1,-1,-1,942783,-1,278650,273992,-1,85935,953062,170380,-1,476124,653762,970202,434025,687138,-1,924662,-1,340931,428238,357852,590535,-1,-1,664291,345728,782281,127697,-1,62835,-1,603614,403929,425300,665920,-1,-1,-1,779361,560912,-1,455186,-1,-1,-1,-1,-1,13789,-1,315053,347582,125636,938969,-1,-1,-1,-1,481287,411387,184303,75956,180302,-1,151338,-1,507656,253511,-1,-1,-1,-1,141909,-1,-1,21055,-1,628821,748820,760804,946179,-1,-1,-1,895423,-1,-1,556176,-1,101083,-1,-1,294874,-1,-1,440782,326927,578049,-1,-1,137213,-1,224792,-1,435117,-1,-1,-1,-1,-1,-1,431837,80533,-1,268438,850221,117369,-1,38171,-1,-1,-1,398670,-1,-1,-1,545279,292645,-1,-1,-1,390657,663725,711365,697049,-1,-1,106485,-1,-1,452232,887993,794892,844106,726045,-1,-1,-1,-1,-1,-1,-1,838433,-1,746237,507464,849797,797549,-1,715731,857889,-1,-1,-1,970858,-1,864047,997168,979307,-1,-1,410161,-1,135909,499970,784700,983301,505085,231418,15681,360108,-1,795382,-1,478976,18515,-1,-1,275601,945006,-1,-1,576631,-1,171783,-1,256895,615707,897492,-1,738641,656674,-1,-1,141413,4670,981215,777831,604594,331855,-1,-1,-1,-1,618626,-1,-1,-1,323063,160532,-1,481263,-1,-1,75952,718256,295467,278196,122782,90912,-1,70381,541706,-1,-1,13732,401065,698126,-1,-1,-1,-1,675488,-1,429488,108085,-1,167681,-1,-1,-1,-1,-1,172872,-1,-1,309097,-1,569532,908667,957061,-1,-1,-1,-1,-1,-1,-1,486464,550778,294092,-1,-1,781424,-1,610427,-1,936412,151284,-1,80216,933760,-1,-1,-1,677305,-1,990298,238073,964770,-1,79212,77606,-1,556001,-1,-1,-1,181354,269909,68711,-1,-1,92316,-1,-1,-1,841799,257819,43890,-1,32867,-1,-1,99839,-1,667949,-1,214690,-1,171007,-1,74449,195013,-1,241841,-1,21577,518875,988066,830271,-1,59849,-1,-1,131479,-1,882441,126819,-1,-1,-1,374692,23464,-1,-1,-1,190551,-1,378443,924362,390847,519417,180512,513452,250273,-1,-1,-1,-1,-1,219840,-1,148646,90057,-1,-1,242501,814055,208204,817463,-1,681728,-1,-1,-1,-1,826767,-1,-1,-1,170836,-1,-1,-1,-1,35916,-1,-1,543465,42508,-1,-1,188397,-1,-1,673858,-1,-1,-1,-1,-1,395969,-1,2035,935910,-1,26540,-1,-1,-1,637972,-1,426388,-1,-1,-1,89254,895244,31606,-1,186129,-1,147753,78544,-1,890705,541398,-1,-1,917056,-1,575568,61117,290638,-1,-1,-1,-1,573463,514221,744345,568031,-1,26972,534968,258352,-1,-1,865979,-1,-1,588089,349894,-1,935605,594418,-1,418336,-1,874792,398117,-1,715085,950582,-1,-1,-1,-1,-1,951385,9310,749495,-1,913478,764166,-1,449583,-1,703556,64680,711868,690716,-1,-1,895136,-1,663600,-1,-1,558913,-1,-1,-1,514197,-1,-1,238731,-1,146604,-1,-1,652168,228257,-1,25927,373159,897359,-1,-1,-1,-1,-1,-1,-1,760505,309864,-1,-1,-1,-1,311373,748103,-1,262028,406734,674401,845303,95270,693320,402387,-1,715716,-1,73077,436871,-1,-1,15404,833808,280914,-1,86666,-1,-1,132562,718189,-1,262370,299706,-1,-1,940070,3450,-1,613229,497724,-1,-1,30886,693659,-1,632561,-1,-1,25270,517909,-1,-1,149599,-1,196568,-1,-1,242801,495118,-1,225351,-1,-1,237931,362651,668908,298648,-1,-1,-1,715478,382391,916869,677011,-1,43630,52607,-1,-1,-1,-1,-1,419523,825261,-1,-1,-1,-1,213496,974754,-1,-1,-1,494031,-1,162948,548417,439705,-1,162086,-1,73582,-1,-1,-1,-1,362138,-1,-1,903855,-1,195092,-1,-1,863848,211332,-1,-1,485801,644227,-1,9456,126562,-1,-1,-1,-1,-1,-1,22395,237744,-1,-1,82553,-1,723782,-1,777449,950966,-1,-1,-1,-1,89887,382184,499339,513627,647340,406422,267132,-1,870714,860282,-1,-1,351970,-1,-1,350849,-1,625338,870817,650447,-1,946214,-1,104158,65961,813552,-1,-1,684196,-1,224068,-1,-1,-1,-1,-1,-1,-1,273270,290374,-1,770655,624883,215189,606668,-1,-1,-1,519868,-1,35135,-1,621161,-1,-1,-1,-1,496327,-1,-1,391184,-1,-1,342293,-1,863481,-1,-1,-1,-1,788725,707533,19883,243246,725868,456223,-1,595525,449295,-1,-1,-1,601628,-1,843657,-1,204134,474217,657511,-1,-1,-1,596802,-1,629683,66355,-1,-1,-1,40325,268040,667899,-1,952222,-1,-1,192201,-1,982283,-1,-1,338931,639357,816622,21929,-1,-1,-1,19887,-1,384338,-1,260202,-1,73506,966316,-1,-1,-1,-1,-1,315430,-1,-1,-1,-1,676189,375386,-1,135165,-1,891792,709804,154367,-1,-1,719235,772912,42684,-1,300409,-1,-1,852621,145798,-1,10240,-1,-1,-1,-1,-1,-1,913693,-1,435088,-1,704081,-1,-1,317011,-1,892988,-1,-1,356828,858170,946135,-1,88622,-1,220879,-1,-1,-1,-1,946516,94175,-1,-1,120311,-1,-1,686963,-1,-1,370663,803911,426699,-1,260466,-1,-1,-1,20841,-1,-1,873759,-1,-1,842411,70842,34074,-1,-1,-1,911549,-1,390514,-1,-1,997198,606273,159838,-1,877667,705857,636849,265095,-1,-1,267460,-1,-1,556373,-1,689277,-1,-1,963285,-1,-1,-1,439383,-1,-1,552950,627991,-1,262946,830958,84727,848324,594673,928963,-1,-1,966548,145234,-1,262599,-1,-1,-1,619888,36900,621119,-1,-1,-1,503702,174274,359174,779930,123501,197519,-1,947598,601219,981923,324183,-1,-1,-1,-1,-1,-1,688871,-1,-1,418476,758760,973727,231733,-1,849587,826393,-1,-1,-1,134985,533639,-1,731456,-1,808233,3893,978511,231980,746809,-1,375247,753269,830429,399635,577367,56459,178593,-1,-1,755331,118355,589748,-1,263137,-1,-1,882332,688595,-1,-1,-1,-1,-1,142622,-1,-1,965327,-1,799492,965536,437247,610216,-1,237862,256798,373562,-1,354664,883719,587580,-1,288064,-1,-1,570446,-1,-1,-1,-1,507936,-1,-1,255752,-1,-1,-1,834094,938048,433806,-1,695181,539025,911483,-1,-1,822558,-1,-1,22595,-1,-1,415489,-1,174635,437409,919002,502719,-1,596843,-1,280326,-1,255472,-1,-1,-1,710119,-1,220306,-1,-1,753056,835958,226154,-1,796569,716288,4787,179599,-1,787128,201925,-1,-1,-1,-1,463626,-1,199081,501041,932811,566686,1664,-1,-1,93080,-1,-1,-1,659614,-1,279945,-1,-1,241753,-1,-1,528775,42311,691590,720878,-1,-1,-1,224505,576392,-1,-1,38611,892013,-1,-1,-1,229718,-1,-1,563983,-1,366624,855363,-1,281938,674773,905648,-1,-1,-1,246905,-1,659124,372071,-1,-1,622976,271141,310257,169046,-1,980051,-1,10151,-1,947697,-1,-1,729104,-1,622372,339490,-1,197756,857064,217811,399498,780039,711143,-1,538795,-1,349065,667010,-1,454002,-1,768248,211677,176234,-1,181385,763722,457504,770079,494490,-1,-1,612908,624664,405995,-1,-1,918565,981547,-1,-1,-1,-1,-1,-1,-1,926792,-1,-1,-1,-1,-1,-1,-1,317484,429065,11876,234340,529552,206417,690703,-1,386062,646136,517343,-1,-1,267504,231658,-1,-1,153043,-1,-1,200794,-1,-1,-1,369204,-1,591441,-1,-1,405947,553182,-1,981971,600532,573636,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,546839,-1,-1,-1,441017,690760,714252,-1,-1,335685,-1,968387,-1,-1,-1,458805,559893,171598,-1,598311,-1,641892,-1,-1,588303,-1,216688,998872,-1,-1,-1,-1,-1,491176,-1,257421,-1,-1,524621,158647,-1,713512,-1,415801,-1,450861,-1,121005,386220,-1,525861,-1,39619,-1,-1,635927,184123,654329,246093,664163,-1,-1,898309,-1,216444,-1,-1,121998,74730,-1,-1,472974,988999,-1,-1,737041,-1,-1,-1,585538,-1,859577,-1,188236,295604,673208,360378,880179,-1,647975,-1,-1,104517,-1,-1,-1,509271,-1,777323,-1,-1,52923,-1,-1,-1,372042,-1,851827,340425,780326,-1,170447,-1,-1,584853,-1,-1,-1,862239,-1,553753,-1,181319,-1,-1,-1,-1,-1,-1,-1,943227,711798,128016,-1,-1,217210,-1,-1,890146,-1,-1,276059,-1,-1,926563,549134,709600,584437,602281,-1,953821,-1,-1,419841,786928,-1,-1,297615,-1,332541,-1,-1,860048,342265,-1,249007,474509,357396,204997,-1,-1,-1,-1,-1,204282,871716,-1,-1,218920,-1,84196,143482,-1,437945,-1,488731,-1,155801,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,40519,230109,74685,-1,-1,-1,925117,702475,-1,-1,465456,-1,-1,380203,622858,-1,695252,-1,149521,787210,491340,-1,-1,338321,-1,129748,-1,339675,-1,-1,460752,-1,-1,118335,-1,-1,-1,-1,-1,519150,957139,758275,-1,748210,-1,-1,-1,637638,226840,951755,745250,-1,795657,-1,486991,744213,373475,-1,-1,-1,189944,122089,315648,-1,246062,273768,145841,887802,464385,243969,104878,377124,-1,343996,-1,-1,570645,-1,-1,41654,426192,100458,-1,-1,35548,309116,-1,-1,645269,182402,480274,988275,-1,-1,976539,-1,-1,-1,-1,-1,-1,-1,-1,715293,613888,-1,194574,553536,-1,84510,-1,-1,-1,-1,-1,84553,674483,528791,-1,979914,463820,-1,620187,-1,311296,-1,354843,556608,-1,-1,-1,-1,-1,-1,-1,385330,-1,-1,-1,552656,-1,221035,525760,539559,-1,662893,216138,-1,-1,946120,-1,385146,-1,-1,571869,474184,-1,202254,-1,-1,948787,-1,881533,-1,995385,-1,766111,-1,-1,-1,354767,-1,-1,-1,-1,-1,-1,970661,-1,761525,-1,521508,72330,619528,-1,-1,-1,-1,-1,-1,614992,764880,925220,218836,-1,-1,603975,788295,202732,563405,229167,373115,-1,355511,490499,-1,-1,-1,-1,315718,-1,-1,-1,258370,-1,-1,-1,668895,-1,-1,-1,-1,845616,676192,156214,287138,637209,-1,515,-1,445413,-1,183285,126475,886593,750351,650907,379422,-1,-1,858080,-1,633498,359164,270092,-1,-1,546185,969647,-1,-1,-1,-1,201264,17636,-1,-1,-1,230612,-1,-1,98211,838595,307877,60796,-1,-1,-1,37024,-1,633264,306517,577525,-1,-1,-1,-1,10350,541067,-1,-1,-1,647281,214107,-1,676370,-1,-1,-1,324902,505904,-1,122843,736023,-1,-1,969925,422757,919000,-1,-1,-1,-1,655185,-1,982641,-1,-1,152518,-1,-1,-1,832387,-1,881436,539567,-1,-1,404543,-1,-1,741845,583890,841458,451265,215859,775103,-1,966313,263049,-1,324371,81326,-1,735415,34897,-1,-1,799251,-1,-1,-1,-1,848474,887955,51074,-1,681006,501980,-1,-1,-1,-1,592154,-1,-1,-1,-1,570172,111393,135403,514017,991849,632405,534555,759933,861352,-1,27020,-1,53361,-1,375312,504788,-1,426499,-1,-1,798709,-1,-1,-1,-1,573961,-1,445575,406520,752203,753519,-1,278976,-1,-1,922604,806840,783893,-1,837927,-1,-1,-1,-1,224547,-1,-1,788943,616108,-1,-1,869030,-1,-1,-1,897112,-1,-1,416447,-1,-1,-1,282458,-1,-1,499260,-1,-1,-1,-1,-1,464099,368121,422624,47134,-1,195149,235918,792420,456717,-1,679759,521931,512181,-1,633304,-1,-1,-1,-1,726790,1458,685336,-1,-1,-1,896849,509,927372,624662,518828,780641,184137,-1,267502,77944,247360,312802,975182,-1,-1,464958,153483,-1,900032,-1,411724,-1,-1,871650,-1,399043,748437,599849,-1,741039,-1,598760,880544,127619,74561,-1,103014,165058,839812,-1,-1,362778,833324,954548,-1,887841,-1,86430,267143,-1,666959,-1,-1,752171,290959,29467,916382,-1,-1,518778,920671,-1,-1,-1,-1,-1,8693,-1,194848,206606,-1,529748,978653,349112,-1,-1,-1,-1,860190,-1,6414,-1,-1,483762,-1,290311,-1,785322,58705,-1,-1,-1,244388,-1,545656,-1,-1,-1,-1,-1,-1,-1,-1,513999,224213,415715,308675,-1,209958,390022,297333,315646,-1,710924,837459,-1,863382,778082,-1,-1,13920,-1,-1,-1,578245,-1,-1,-1,970309,-1,608515,177225,249563,-1,-1,877520,-1,-1,829468,849871,237245,-1,472994,-1,911634,205244,87910,-1,533999,-1,713943,-1,68026,358220,185901,-1,-1,-1,19208,754548,-1,-1,-1,-1,965969,914286,842276,61034,-1,232664,306951,580240,778734,839103,425978,-1,331163,919932,314444,472902,378361,-1,699377,479266,-1,347069,-1,-1,80918,444882,-1,-1,-1,-1,-1,707802,-1,-1,-1,-1,697322,872588,390634,800936,188092,-1,-1,-1,-1,-1,267941,96303,-1,44024,-1,-1,455912,-1,-1,-1,522363,-1,-1,990974,990427,610547,709081,326191,-1,710850,508521,-1,592341,601373,56012,343958,899963,-1,-1,940185,-1,441753,373473,809517,280013,-1,734493,-1,576627,879611,68864,705094,463786,-1,-1,76020,-1,397792,753268,-1,744113,967131,185964,393745,-1,-1,-1,-1,154886,752586,828496,-1,263367,-1,315539,543102,307164,-1,947625,-1,-1,837896,805374,940207,-1,671596,384775,659370,-1,-1,-1,949652,-1,-1,-1,-1,-1,960965,415719,47662,779318,985869,-1,-1,255380,-1,-1,-1,-1,221916,-1,223947,337310,-1,-1,-1,946518,762228,-1,88358,-1,-1,-1,384541,633503,-1,215250,-1,222865,667572,251139,577400,786888,696306,68915,954895,949378,170482,628213,180637,-1,-1,-1,-1,101926,873140,8864,-1,612354,-1,63119,41447,-1,337427,53275,438435,-1,963442,477243,693380,-1,-1,-1,331371,311622,118971,975345,376392,-1,-1,776947,859424,315655,-1,970425,-1,-1,923056,427583,530321,8422,676182,-1,396618,595226,-1,959373,-1,191585,-1,-1,992686,-1,-1,-1,95705,524159,804522,-1,861300,-1,985298,-1,-1,-1,271934,-1,-1,-1,-1,494725,243566,-1,576170,-1,653704,-1,-1,-1,935874,379451,538998,675756,402417,-1,-1,600818,-1,-1,-1,914526,458218,-1,-1,325408,389682,-1,264164,-1,-1,-1,-1,-1,471676,-1,-1,210217,-1,-1,-1,754615,-1,115428,-1,643823,51303,-1,967477,996767,-1,-1,214493,780774,-1,395430,127217,-1,-1,606810,345753,-1,-1,530460,-1,-1,875994,599232,-1,-1,-1,-1,-1,285466,485140,-1,607836,556425,-1,108367,-1,715246,-1,196208,834113,33227,384367,-1,-1,5564,-1,-1,962236,-1,255650,-1,-1,145003,615240,-1,-1,841167,-1,-1,-1,-1,-1,-1,-1,407445,941091,-1,720510,-1,-1,284436,943197,491617,54557,-1,-1,-1,131053,-1,-1,433160,160315,924446,-1,537405,723481,185271,-1,-1,130577,443883,232559,376069,669474,403710,-1,458758,-1,299961,-1,641064,-1,975196,120358,-1,-1,-1,239741,866607,-1,-1,939586,483715,-1,-1,124066,-1,-1,970563,756853,-1,-1,579644,-1,-1,-1,-1,917082,646828,995016,-1,97209,686767,-1,936994,691886,-1,384411,635131,-1,-1,-1,-1,93436,-1,499402,213622,-1,-1,95346,-1,-1,-1,-1,-1,564061,713450,-1,211825,353363,263990,207801,-1,205405,100887,-1,-1,971215,790381,649408,854540,-1,-1,-1,-1,763036,-1,-1,-1,250862,388264,129358,-1,-1,216072,556708,-1,-1,804299,783301,-1,-1,-1,894774,-1,481553,996910,919147,633308,-1,-1,666880,376314,-1,-1,857170,66202,-1,-1,466365,577142,926255,919950,939387,82957,-1,545181,-1,-1,-1,-1,470604,870367,-1,-1,406033,42259,727640,560846,230237,-1,257860,138202,389003,968348,458642,-1,-1,-1,649340,134024,-1,594967,-1,-1,-1,-1,331126,-1,754514,-1,443778,671951,461237,381429,-1,-1,-1,347021,-1,276436,-1,-1,-1,-1,-1,-1,334883,-1,202148,702233,812148,897232,-1,955044,150540,-1,804495,761948,-1,269087,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,261531,-1,608753,-1,-1,-1,647537,365471,660356,65908,-1,122405,-1,-1,357053,-1,104381,880713,206488,-1,63775,-1,669775,-1,132178,528906,-1,-1,-1,890487,-1,-1,-1,899068,384296,-1,-1,-1,-1,114016,107074,796330,88662,-1,350820,-1,-1,-1,888429,-1,545769,-1,-1,606921,254724,349047,830663,-1,666590,339615,326989,-1,-1,263879,797577,103908,-1,807450,-1,454561,836327,586906,239111,804853,715316,-1,-1,546083,-1,-1,-1,954543,-1,365667,346497,-1,-1,-1,-1,-1,-1,-1,629149,-1,404858,-1,565351,-1,-1,-1,565115,409701,-1,-1,787641,-1,529041,-1,971210,-1,909977,-1,-1,944607,-1,-1,182493,561254,177595,930714,23277,250733,-1,-1,-1,-1,506404,-1,-1,434523,-1,387819,-1,661690,930812,855461,-1,-1,-1,-1,705996,237994,-1,-1,-1,-1,953513,618352,-1,-1,-1,-1,-1,300601,929628,107622,717461,701040,179515,777244,89515,-1,-1,781931,865016,-1,756007,-1,-1,-1,365604,529494,877238,530149,236072,-1,-1,282503,423664,-1,-1,-1,-1,36921,-1,-1,-1,327264,779627,9960,494185,-1,845649,-1,-1,-1,815422,769613,33378,704362,-1,-1,-1,-1,-1,-1,487533,631196,185393,588376,-1,435241,783597,210825,-1,-1,892594,-1,931419,-1,-1,-1,-1,871697,-1,696609,49219,-1,-1,-1,-1,513645,-1,-1,-1,752622,13004,731180,723685,648631,-1,-1,771802,53350,-1,184404,114335,-1,208875,-1,-1,-1,-1,738841,-1,-1,-1,-1,719212,614120,529904,-1,-1,33035,-1,-1,287566,-1,475223,8711,774128,203949,-1,465361,351735,-1,436574,-1,346632,-1,996831,632492,-1,-1,869881,735965,309929,-1,-1,783541,175355,341125,91232,641030,-1,89239,568599,-1,984210,-1,-1,775790,-1,-1,-1,-1,-1,903247,926602,838732,318966,672119,986773,-1,-1,450443,-1,-1,-1,847698,785799,-1,-1,742070,-1,294795,845011,-1,749900,-1,-1,-1,-1,-1,-1,735084,575897,-1,-1,386662,387952,299797,-1,585301,-1,38935,-1,-1,-1,-1,-1,-1,-1,-1,436341,-1,539426,907556,503434,-1,106912,899809,-1,-1,-1,452039,-1,-1,550563,573064,587613,-1,-1,-1,-1,-1,840545,282067,236277,-1,832028,-1,631846,790806,-1,727093,619985,209239,-1,-1,-1,-1,-1,293191,10217,529274,-1,-1,-1,311347,235474,-1,-1,54829,85681,-1,-1,-1,635963,470223,999290,-1,488029,-1,182685,264507,324885,48945,143466,418392,-1,-1,979145,779012,-1,-1,-1,814461,-1,-1,563820,986182,-1,-1,22129,849231,150073,-1,-1,-1,-1,354881,606941,-1,700523,228296,-1,-1,-1,-1,438053,-1,-1,-1,377037,-1,956162,709869,157123,140940,-1,-1,673329,-1,689653,-1,947073,-1,-1,385246,874857,37153,415871,28875,813070,293968,-1,-1,-1,43072,-1,463450,-1,-1,924092,-1,-1,138829,-1,111760,-1,-1,-1,-1,-1,-1,-1,526401,-1,305731,746962,411464,-1,-1,754465,-1,-1,226533,647014,155793,-1,-1,-1,679387,713498,-1,-1,-1,922225,-1,-1,-1,-1,9403,609990,926987,-1,495324,-1,-1,422621,-1,-1,-1,-1,61142,869912,986306,-1,-1,-1,2372,-1,646679,466379,42872,-1,680953,505352,859678,723836,-1,-1,-1,-1,139349,39793,623837,-1,754010,-1,-1,-1,990359,-1,699937,-1,-1,-1,278927,198781,929593,932742,56326,-1,-1,317197,474117,-1,-1,-1,194226,-1,95706,503493,999042,-1,-1,-1,572100,276039,958659,-1,882148,-1,976883,-1,-1,-1,864905,49280,-1,559352,-1,-1,635189,-1,688617,-1,115667,-1,-1,-1,702911,616353,84438,252130,-1,-1,483284,889485,136779,513848,-1,882327,-1,358444,-1,-1,-1,65460,-1,-1,207053,-1,905920,867527,300196,882212,704950,-1,538955,-1,-1,85286,641249,920305,123289,446007,59422,-1,248040,858322,-1,538033,541514,382620,110104,215706,-1,491583,-1,-1,856299,-1,186472,-1,-1,-1,-1,838784,-1,189840,571577,-1,-1,-1,433134,-1,-1,-1,206112,-1,305850,201,166546,782219,-1,14697,-1,721552,-1,-1,-1,356903,-1,-1,462669,329189,-1,813315,-1,585302,-1,-1,452734,-1,18347,130044,-1,855362,-1,511903,147447,425597,-1,-1,-1,848677,232401,-1,-1,-1,-1,-1,422246,566661,997110,552962,-1,-1,850090,-1,719718,617906,-1,-1,-1,200544,192492,-1,-1,530195,768304,-1,-1,623728,848340,246374,-1,905905,547867,790392,529975,-1,-1,843779,-1,-1,-1,845378,-1,978912,-1,-1,377665,54900,-1,431673,-1,900744,388625,-1,-1,627470,234150,878337,-1,324419,-1,-1,-1,155170,920142,-1,335078,-1,983513,429864,866796,504299,311983,397350,-1,-1,763041,-1,452952,-1,-1,773872,-1,-1,941424,-1,130851,-1,563344,322763,-1,322964,-1,-1,58081,-1,-1,205004,-1,245418,619088,-1,-1,-1,231645,751637,369624,647394,-1,627696,754809,-1,-1,977013,-1,416437,-1,20814,-1,-1,745344,-1,-1,635061,-1,-1,-1,-1,741333,-1,511770,-1,-1,-1,55185,193094,295043,57809,238583,594583,527046,157602,478234,738339,581858,656509,-1,265173,-1,-1,-1,-1,671774,-1,274039,-1,-1,-1,503672,822205,-1,810310,631942,-1,33792,358882,-1,242451,629543,864453,-1,-1,-1,552067,660151,26129,-1,-1,886808,-1,-1,924216,-1,845389,-1,-1,573790,-1,-1,765713,155713,432602,-1,919909,-1,579282,-1,838918,748105,43360,188303,541888,765627,977579,824309,883531,614596,-1,853722,-1,845112,907091,-1,137685,149587,399655,210890,129000,448185,4131,758656,-1,-1,-1,833897,995643,-1,433029,-1,-1,227004,111477,951939,-1,334577,-1,548136,205233,806815,-1,170659,-1,870087,-1,-1,526916,-1,-1,-1,-1,-1,-1,869070,-1,98176,-1,167307,77321,61701,-1,467733,450245,-1,-1,-1,675036,970213,824291,-1,-1,216219,111196,703183,-1,-1,534052,599174,28691,-1,86951,-1,-1,710360,760944,-1,-1,151946,-1,-1,-1,-1,348183,641826,-1,862898,-1,-1,163573,410563,563017,-1,-1,749460,558829,-1,485765,773450,602427,-1,751012,-1,921013,-1,-1,143043,-1,343570,-1,41772,180005,589938,374868,-1,-1,519183,962211,-1,321633,143167,263308,74084,675353,748588,-1,490477,-1,905293,-1,270491,149454,960071,748942,-1,-1,615885,32408,875793,-1,-1,-1,128545,277917,610027,-1,-1,-1,-1,947187,-1,-1,962261,-1,773414,-1,817570,484778,-1,592322,-1,539437,-1,797206,841385,718830,-1,734016,-1,556723,-1,-1,608498,-1,430555,-1,686411,279954,-1,269965,-1,202858,-1,426983,74427,-1,938586,558239,-1,499461,863388,-1,-1,-1,-1,10573,267139,-1,-1,2290,85540,293861,-1,-1,351853,-1,-1,484296,-1,251980,609723,-1,-1,614448,-1,-1,-1,384709,-1,656526,-1,33213,-1,-1,-1,-1,-1,-1,26881,895783,432435,-1,-1,-1,693616,-1,-1,-1,704448,-1,312655,-1,-1,-1,797102,330527,727043,72376,841041,552186,-1,-1,-1,-1,-1,539204,224272,197405,127005,988717,-1,-1,996424,-1,276889,838858,144375,429955,-1,-1,606465,-1,-1,-1,220815,-1,-1,-1,207039,420185,-1,-1,-1,418191,373051,-1,-1,446390,-1,679802,760995,744721,749486,745539,-1,-1,744350,-1,278384,543892,892708,702847,-1,-1,212034,478803,514682,-1,531403,-1,508907,-1,-1,724188,824765,982461,198993,768603,-1,-1,-1,22893,428962,532202,385492,-1,288553,-1,-1,-1,179916,-1,-1,87787,263225,-1,231372,729714,275711,-1,-1,-1,903971,-1,-1,-1,286146,-1,-1,-1,777652,249826,-1,-1,-1,-1,-1,545379,-1,841873,-1,302270,712714,911548,-1,273381,-1,12024,313688,46345,-1,-1,69419,782055,410554,-1,-1,-1,-1,-1,817330,-1,895086,408081,-1,816141,-1,-1,273357,-1,942509,69071,-1,195571,-1,-1,315051,-1,-1,-1,-1,871382,-1,628487,91206,916350,763181,679032,-1,-1,819629,-1,-1,839430,-1,494594,827073,-1,-1,808213,-1,982551,-1,521593,-1,36049,363118,774418,326125,146407,535741,67972,245574,624976,-1,414603,197738,716528,640283,-1,-1,866470,-1,377516,537869,16906,102117,400554,871795,-1,468176,-1,942576,-1,-1,-1,-1,466818,-1,-1,665409,-1,916870,476113,-1,-1,-1,659832,163331,79715,724442,-1,-1,231545,175700,-1,-1,-1,994074,-1,12212,-1,797954,-1,601020,-1,-1,-1,-1,-1,-1,-1,-1,839423,-1,46590,725635,389376,10594,435422,-1,-1,636310,-1,702125,-1,-1,429692,-1,-1,-1,-1,387071,801871,133615,-1,824051,475362,-1,-1,-1,18287,-1,-1,810309,952128,-1,438210,-1,504187,15267,-1,483677,-1,164234,162493,-1,474982,-1,277657,-1,-1,661250,388670,773941,613660,-1,-1,218956,90948,-1,-1,69190,-1,-1,-1,893587,69291,-1,-1,-1,761538,-1,136175,-1,-1,-1,-1,704635,-1,-1,145217,873888,-1,24210,-1,-1,-1,701278,728154,-1,-1,-1,-1,-1,897738,540436,-1,860459,777737,763665,325255,-1,363360,-1,-1,-1,510418,310049,-1,-1,466305,-1,-1,327276,555303,-1,-1,891309,-1,301102,442518,-1,235505,722833,-1,8630,-1,-1,135558,642249,874780,349234,-1,790676,-1,909879,639464,832472,162545,837941,833458,821162,361201,869947,-1,-1,-1,-1,-1,342773,215867,879084,651019,-1,430615,-1,385281,-1,-1,930397,-1,-1,-1,-1,-1,-1,-1,555704,-1,-1,355184,412663,-1,754726,602091,560150,552540,869708,-1,153302,355669,-1,-1,83190,-1,181255,-1,76492,-1,-1,-1,421915,-1,998738,53605,-1,-1,-1,333180,851671,968678,-1,392229,-1,944958,491033,-1,-1,519332,-1,-1,-1,-1,534785,142207,908997,273719,127722,666101,945074,-1,913553,802153,679925,677097,980970,-1,-1,524468,-1,-1,-1,45103,-1,-1,-1,-1,52265,-1,505391,987761,475773,-1,955797,-1,-1,559387,584984,-1,941152,-1,-1,-1,-1,556384,-1,828540,346482,-1,-1,-1,-1,-1,-1,-1,-1,98480,701883,-1,227204,572445,934189,436092,-1,103972,-1,-1,-1,-1,818153,-1,967771,-1,85539,489801,889942,105330,-1,16104,998184,622579,447655,90004,810878,-1,990595,615644,-1,951093,840742,-1,214876,-1,390159,649115,195744,732024,-1,-1,919957,537457,935263,-1,709422,-1,-1,827332,867940,-1,-1,-1,179204,332278,313694,-1,470661,-1,-1,440251,-1,-1,-1,-1,612228,-1,419060,-1,297550,-1,-1,-1,909595,583725,-1,-1,-1,-1,907386,412933,786347,-1,505491,557034,251242,-1,-1,-1,627430,526704,-1,-1,-1,235267,-1,718111,877540,-1,-1,528209,737974,-1,-1,-1,325012,440073,218251,287465,839547,727488,815677,-1,-1,-1,741442,-1,-1,-1,457254,-1,724637,932285,-1,373164,302589,852131,-1,301254,778903,-1,195226,-1,-1,1312,-1,998885,827853,-1,468474,619477,57931,-1,-1,-1,-1,-1,231304,-1,728447,608334,41408,-1,460669,821457,-1,-1,43748,-1,-1,-1,-1,-1,-1,852972,-1,252147,-1,-1,341070,868442,673479,952434,-1,-1,-1,156237,-1,227809,6231,160241,31787,850112,163524,-1,787247,-1,638154,-1,-1,666279,777340,392660,513414,787050,-1,-1,402342,-1,-1,-1,712691,866108,-1,-1,-1,-1,-1,-1,120583,760407,265429,-1,943812,-1,-1,517000,208081,-1,-1,678828,397867,179351,-1,662561,746473,-1,840607,824699,747553,-1,-1,474123,-1,159536,-1,-1,-1,337314,-1,73534,-1,-1,984315,-1,433457,-1,-1,805437,393233,775392,846176,493476,-1,945357,-1,908099,-1,-1,-1,-1,859924,-1,433210,973756,502695,-1,866379,133321,515258,429574,182524,449954,151083,-1,103764,574055,-1,570138,269077,683158,460238,-1,-1,-1,-1,718953,-1,864719,527928,-1,-1,-1,-1,-1,546685,475199,911268,512118,-1,-1,711221,-1,-1,-1,-1,690146,-1,289239,478400,112436,526526,-1,818780,39088,789153,416445,462892,737392,230135,-1,99693,-1,132149,-1,-1,-1,317130,218231,-1,57356,-1,986349,-1,-1,-1,287442,-1,-1,219624,825980,-1,638147,-1,363923,179960,-1,696916,50462,-1,-1,352960,415244,761029,-1,-1,75372,-1,-1,-1,910434,-1,746347,-1,838937,882796,-1,-1,264107,559416,-1,642988,-1,-1,807695,-1,412301,-1,-1,549748,852302,-1,730674,-1,879129,910364,404149,-1,-1,611921,265586,92405,37290,-1,901177,328789,-1,922311,630021,-1,607245,-1,544491,472092,-1,-1,212424,853133,821663,895263,918992,-1,309019,816358,-1,-1,687457,-1,-1,-1,421242,553285,-1,-1,-1,-1,-1,-1,-1,-1,-1,176395,-1,2616,67481,387194,-1,-1,-1,-1,497229,-1,-1,824554,-1,775714,-1,-1,394895,-1,-1,-1,589204,488569,-1,-1,38125,222983,341244,-1,906940,-1,-1,32237,-1,-1,386598,-1,-1,861907,869414,-1,-1,43537,231575,-1,769196,149759,-1,929888,-1,-1,117851,380930,-1,221160,-1,-1,601141,82365,946161,-1,403307,159416,-1,-1,255735,685461,-1,717009,-1,-1,-1,-1,-1,546208,-1,-1,-1,590323,-1,164028,-1,-1,-1,-1,-1,399121,-1,571209,-1,352143,-1,368780,-1,-1,-1,-1,629976,511890,-1,-1,310622,-1,-1,574929,-1,4909,344512,-1,736309,-1,-1,341332,-1,786020,-1,-1,935670,-1,-1,676921,-1,-1,-1,-1,411084,579079,-1,-1,-1,974322,-1,548137,-1,-1,-1,983609,247569,629406,-1,-1,61861,945172,-1,572531,672732,129258,-1,656253,-1,-1,-1,-1,251420,-1,427842,925452,-1,688178,-1,-1,-1,447498,-1,448163,-1,-1,-1,-1,-1,-1,427608,-1,37534,-1,259862,-1,436307,-1,99415,-1,-1,287728,-1,-1,-1,870800,481161,888974,-1,714954,588941,133054,-1,246549,-1,-1,38857,-1,-1,-1,-1,595475,-1,-1,993016,840154,354099,722879,546056,-1,873909,533034,296747,615398,-1,-1,837441,950811,937158,-1,-1,399990,-1,320200,-1,-1,46356,860877,-1,-1,990686,-1,476360,-1,216646,-1,354277,-1,73756,-1,654813,975670,-1,965075,-1,-1,-1,-1,773938,61219,930380,899891,513246,92039,558561,546945,871009,485904,210883,324135,546564,-1,386514,195891,-1,-1,149624,526788,-1,-1,-1,-1,-1,-1,360768,182591,-1,136839,743509,710833,-1,-1,711085,268771,628982,-1,-1,-1,849075,533047,382381,-1,799200,288176,-1,-1,-1,-1,-1,-1,578276,19203,-1,-1,-1,754858,834330,466905,361345,553920,-1,737366,-1,794986,481653,-1,-1,810987,-1,442278,-1,544714,126401,862301,-1,-1,-1,-1,588852,-1,320816,-1,21212,-1,931992,-1,-1,193380,-1,-1,928883,-1,483599,-1,297118,675647,230845,-1,404011,627071,937584,-1,-1,714901,-1,-1,431014,-1,380505,155739,153213,438618,64234,-1,105020,-1,598508,973689,589031,685648,523208,-1,-1,-1,-1,156576,158194,700118,-1,-1,-1,-1,962910,-1,209569,200404,564474,-1,377753,510607,-1,913275,769543,528947,400785,792496,-1,823453,620761,-1,684261,-1,586331,-1,404903,-1,-1,-1,249740,-1,-1,-1,-1,-1,-1,-1,-1,199667,339422,85013,-1,878571,584068,489700,291969,-1,104162,-1,156228,-1,-1,537871,520463,891948,961196,931850,572724,-1,-1,-1,293116,-1,-1,286625,-1,977569,-1,-1,-1,-1,86821,325493,-1,-1,-1,801447,395909,-1,-1,-1,-1,119701,-1,669880,863746,-1,-1,896243,230613,-1,730858,-1,990384,929044,-1,448608,-1,-1,-1,-1,-1,274469,32307,529697,303781,560095,102346,-1,38226,657368,36609,242233,211730,56102,-1,-1,867697,-1,785891,-1,-1,237280,-1,297609,600756,319077,784033,410249,-1,613315,626946,-1,704253,-1,-1,325040,-1,498090,89346,-1,-1,462127,465399,165829,-1,789938,718621,58513,-1,100454,290488,-1,-1,-1,515866,443407,-1,161581,-1,-1,-1,815557,26547,-1,480205,-1,925078,241421,-1,25083,197714,-1,-1,48760,512690,867894,784397,-1,258168,-1,449465,-1,-1,-1,98845,-1,974643,-1,-1,-1,-1,-1,681338,-1,324227,-1,-1,475192,-1,117827,-1,-1,-1,365946,-1,86774,627316,-1,-1,164453,-1,601477,-1,338704,-1,-1,-1,-1,-1,522820,645224,-1,-1,958294,-1,-1,706500,90867,650469,-1,-1,-1,-1,697064,-1,-1,-1,-1,-1,-1,-1,479775,-1,685521,-1,346253,-1,-1,758666,-1,666452,-1,-1,-1,-1,853307,267471,-1,-1,895180,199766,524835,-1,127941,-1,37919,-1,836113,-1,857654,-1,-1,794889,395790,-1,-1,757164,723992,-1,675128,651802,283977,-1,624347,185936,518169,-1,35420,580816,-1,904432,351803,-1,934670,-1,888652,-1,220817,-1,-1,-1,-1,-1,-1,-1,-1,-1,830317,-1,187606,-1,372172,-1,752796,505854,896427,-1,749763,-1,-1,-1,-1,496598,-1,-1,-1,446604,-1,368891,-1,831966,442789,-1,372220,75607,-1,995157,769761,216489,-1,-1,894077,-1,914559,-1,735972,861089,451222,-1,104991,900059,541441,787018,454859,239476,511380,658947,837449,-1,-1,-1,-1,188284,250427,-1,-1,-1,550090,637552,787674,163045,129225,386700,-1,-1,346779,528230,887384,-1,878352,-1,317142,340379,245766,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,400146,774309,135415,-1,-1,195899,-1,-1,-1,-1,662013,212109,-1,899537,-1,580947,-1,489685,938821,-1,-1,363370,997454,-1,-1,9161,663921,-1,696926,-1,-1,854457,-1,-1,-1,-1,149195,-1,668228,-1,447845,-1,-1,-1,-1,-1,-1,-1,575835,-1,-1,798756,614303,727516,-1,221628,-1,-1,712518,-1,-1,-1,-1,-1,569598,-1,-1,269885,188276,-1,-1,664024,559615,-1,38966,299024,990241,182777,-1,-1,636041,-1,342034,-1,672824,-1,-1,955923,518872,286391,-1,370452,-1,975468,945611,205339,970374,427567,747194,321147,-1,-1,-1,329853,-1,978020,189002,-1,777113,-1,-1,80871,973893,187630,-1,-1,695992,-1,-1,-1,-1,45767,822629,336881,551482,-1,992872,416178,-1,820749,-1,420414,59665,299121,-1,812649,-1,-1,304885,-1,685335,-1,545568,414676,-1,-1,569181,-1,-1,-1,633784,-1,-1,-1,-1,-1,157530,-1,-1,-1,550742,655849,172964,-1,934368,-1,383801,-1,713463,192457,562988,209243,644265,-1,752490,-1,-1,-1,-1,150158,886529,-1,398600,941490,-1,-1,564056,899282,-1,93678,166154,-1,755175,705746,267794,140346,-1,61233,-1,-1,821256,-1,237570,954420,-1,421803,244792,253720,316395,918537,-1,632306,703951,-1,-1,-1,703710,-1,747215,51915,577340,-1,-1,658103,-1,724653,-1,396608,762331,-1,162114,321677,-1,593313,390499,269807,235336,-1,193451,-1,510670,-1,-1,-1,-1,340781,439439,-1,-1,-1,-1,-1,-1,-1,195697,-1,165733,307570,-1,259883,-1,-1,106801,-1,741735,780881,550328,98071,-1,-1,-1,126869,-1,-1,910658,941925,116143,-1,655959,-1,675979,273203,-1,64329,-1,302683,534173,-1,433141,300738,847184,-1,513328,961410,-1,520531,702740,962364,-1,16341,-1,575718,-1,57543,-1,-1,894207,411107,757635,640835,948552,-1,-1,272829,373731,-1,-1,393778,-1,-1,757891,80356,-1,-1,-1,163159,-1,435546,852495,492125,534932,-1,417968,-1,-1,-1,213978,990376,-1,962957,721470,-1,268649,880360,833664,394964,-1,-1,295420,220240,-1,46063,515502,863446,21325,192101,-1,-1,698282,-1,904324,838857,530289,-1,-1,-1,6120,207631,816199,411509,456444,819632,-1,354053,839709,-1,-1,272782,930875,-1,563164,302029,-1,-1,363551,-1,986075,-1,-1,301977,40772,-1,588328,263527,-1,566427,-1,-1,-1,-1,651491,836709,184678,693279,215869,-1,-1,839872,34928,-1,68503,514902,823452,239106,586403,103476,-1,-1,-1,-1,416024,-1,722307,489235,-1,608667,828938,555855,-1,-1,69013,71045,592954,-1,-1,353555,-1,-1,-1,522190,657828,648858,-1,264821,285237,-1,875988,78028,754602,217431,-1,778241,-1,815865,117256,-1,-1,875162,-1,770308,297209,505690,-1,-1,-1,94254,934793,-1,850038,540551,568316,898240,488110,-1,596238,935010,451518,-1,113110,737792,-1,647423,474975,599328,228700,-1,293086,-1,-1,-1,-1,744381,771514,-1,692747,-1,322794,852627,107753,701894,-1,697612,59764,-1,-1,-1,388845,814833,719196,684611,68971,698094,-1,458461,-1,778792,278125,209731,-1,847728,-1,-1,-1,728167,-1,57905,-1,585610,92584,-1,897109,747616,62806,-1,907242,1260,952792,-1,-1,272806,-1,-1,-1,685234,-1,-1,-1,-1,547540,877570,146742,-1,283862,138358,-1,816216,-1,-1,997627,-1,126932,787492,-1,-1,796767,-1,892082,448387,440167,-1,-1,492196,-1,839558,-1,452378,-1,906930,769267,-1,-1,975673,295454,885891,-1,-1,978890,-1,-1,588566,602398,-1,-1,766818,-1,892711,371492,-1,-1,899789,-1,528999,-1,900799,54570,444449,247582,-1,-1,370358,990457,631908,235656,639495,63134,920184,-1,872101,-1,533069,-1,924813,941889,619302,-1,-1,208393,110166,705564,207728,-1,22911,461615,356462,499136,344214,991145,386801,957381,258173,-1,135362,814811,-1,-1,-1,761589,-1,561430,-1,-1,-1,71656,-1,405612,981243,-1,300941,923158,-1,-1,3023,-1,784945,-1,75341,-1,-1,-1,-1,211272,-1,-1,-1,696466,458374,88540,-1,-1,169053,-1,85176,-1,30325,245090,38293,-1,292711,611387,122468,354890,-1,579195,-1,796833,-1,529804,-1,441050,587033,-1,-1,581182,739213,763737,457734,-1,-1,386071,-1,933165,-1,-1,-1,-1,418303,570109,-1,299518,890532,851825,95797,350645,541597,-1,233541,530929,-1,422523,606614,-1,-1,998883,28134,52878,838768,82192,-1,957939,41415,-1,-1,922787,368303,-1,-1,506334,-1,848940,-1,992201,-1,577617,138791,-1,-1,-1,635893,982440,127912,-1,258612,549082,493533,57090,891647,254469,-1,-1,807760,139178,-1,-1,-1,460022,545607,287885,772309,634803,-1,178448,54268,440104,722544,116125,-1,-1,149932,-1,133418,524272,99090,-1,-1,-1,-1,224818,-1,-1,-1,431380,21454,420625,-1,-1,701563,509766,732106,-1,439511,-1,-1,-1,-1,768516,-1,-1,898218,-1,-1,-1,354080,255166,560622,-1,447355,645963,341177,187262,655961,-1,-1,-1,603343,-1,172928,-1,-1,925588,624210,-1,505746,-1,-1,-1,-1,-1,835819,-1,119080,818498,138591,274396,213816,845644,-1,857318,70379,687466,799496,27131,-1,534878,-1,32485,-1,853445,-1,-1,-1,-1,-1,-1,491647,-1,537251,591925,433938,-1,136215,-1,743589,476383,181199,351460,567528,430586,466472,-1,567157,-1,517673,-1,446844,-1,-1,-1,-1,989738,-1,919068,162030,409916,-1,440278,988610,100687,192096,780346,-1,302465,-1,664284,-1,452385,-1,769333,707880,818528,56489,237118,-1,-1,-1,-1,-1,-1,307666,-1,903769,609928,901648,801087,-1,449236,950751,-1,736379,508470,742779,-1,722906,-1,418374,-1,156570,-1,973988,835003,-1,945371,953094,-1,-1,383781,679011,617809,670025,770143,187581,290376,390083,388341,-1,-1,-1,-1,726680,-1,-1,685783,367766,-1,-1,-1,-1,634983,865403,680142,458129,-1,766309,464727,241264,823150,482072,-1,781354,138295,758266,653715,292416,749277,466982,285244,-1,-1,947894,405945,-1,-1,884998,577734,-1,-1,288206,-1,-1,-1,-1,128430,-1,-1,39574,259260,426142,-1,-1,613895,-1,-1,771636,986373,902141,904480,-1,-1,550255,311568,251473,159411,-1,763625,-1,-1,70565,795668,847763,227345,-1,-1,-1,436497,-1,-1,829936,-1,798084,814344,-1,977632,-1,-1,245917,925339,999193,-1,985374,702196,-1,702115,568912,53274,67836,-1,238403,-1,922096,-1,-1,403499,643053,197031,-1,-1,-1,-1,-1,-1,-1,222782,395613,209285,-1,-1,-1,-1,-1,-1,-1,239460,766693,311020,909311,187619,173201,74652,289402,-1,-1,916693,920719,588969,330266,-1,195109,-1,-1,252119,277978,-1,-1,34457,-1,906297,120161,744051,958421,45504,-1,-1,-1,283455,681347,-1,-1,650542,210014,895191,-1,197136,-1,280212,558215,372477,996096,-1,-1,-1,984940,305828,-1,-1,394738,-1,843900,313035,779941,525773,-1,-1,-1,255874,-1,-1,-1,-1,-1,971554,-1,739450,436787,177734,-1,746028,-1,-1,823636,-1,-1,-1,851812,-1,-1,-1,410162,695986,-1,662344,-1,-1,253528,-1,-1,-1,-1,272789,263213,361223,787781,970031,-1,-1,-1,-1,-1,198109,760119,813101,-1,-1,-1,-1,707784,710043,-1,394176,-1,168364,726422,-1,943158,880215,829910,69262,689518,-1,-1,-1,438745,-1,121713,-1,294933,300036,91740,-1,-1,15818,410781,-1,-1,-1,-1,186144,814737,610882,876915,351543,600807,-1,727088,-1,629051,-1,-1,740602,-1,-1,-1,-1,-1,609698,-1,-1,697040,-1,-1,-1,-1,754139,974163,746990,-1,-1,678549,-1,358233,829018,-1,-1,-1,782113,-1,-1,406887,372244,-1,-1,492009,-1,-1,851880,61139,238268,-1,-1,633116,863023,-1,910603,675290,-1,-1,688756,-1,918521,479210,-1,656929,-1,451382,-1,875271,991756,992394,-1,989039,-1,402836,-1,-1,-1,5687,222415,-1,220564,917465,-1,268755,-1,934964,691768,-1,-1,-1,535103,924988,-1,764213,-1,-1,-1,-1,529655,-1,4592,-1,23039,-1,-1,361398,-1,234980,525701,235707,874796,156070,109078,-1,-1,91286,242319,540875,55989,-1,-1,-1,-1,-1,-1,329182,508159,954007,706050,733286,-1,55786,457442,619978,792812,-1,593602,-1,129192,-1,-1,625812,-1,-1,-1,543910,849867,670435,309434,-1,653169,-1,-1,-1,-1,864311,-1,887525,-1,129404,288369,605979,610333,-1,-1,-1,-1,-1,-1,199228,757775,310914,281197,-1,-1,419738,93619,429636,-1,674211,848346,693934,939771,-1,354558,443566,-1,-1,-1,397369,461405,-1,-1,-1,358497,972067,967937,758995,259256,91945,-1,-1,-1,-1,-1,-1,149936,979226,969416,314653,-1,-1,866073,-1,267906,743994,352674,513054,85395,-1,-1,-1,115177,-1,-1,821430,-1,-1,157617,882065,-1,10055,237694,208683,705478,604314,619269,642694,78971,457221,-1,-1,219781,44204,271161,-1,172464,555022,957537,-1,-1,263042,-1,524831,-1,-1,-1,151138,-1,105107,-1,334417,-1,-1,514304,-1,-1,128723,-1,-1,-1,-1,920017,-1,-1,517942,505264,-1,-1,814159,-1,463681,622056,-1,-1,733958,789394,-1,-1,653067,735000,-1,276168,342820,219175,-1,544290,830434,25428,156467,-1,-1,-1,179461,-1,669774,-1,-1,-1,732441,-1,381160,-1,-1,-1,220042,-1,209477,-1,-1,498277,967017,-1,-1,-1,559982,-1,-1,-1,422987,52492,458509,79264,-1,15351,59430,-1,-1,259094,710660,777753,-1,-1,-1,399961,914168,465364,-1,965277,-1,-1,794683,157187,-1,837715,879280,-1,-1,153447,-1,112083,-1,422672,448287,735263,504190,-1,267698,559988,538738,-1,-1,-1,-1,-1,595554,-1,-1,68134,-1,857425,545968,516801,-1,-1,-1,-1,978952,473577,-1,-1,677193,6302,-1,727975,52033,-1,283712,536372,331943,-1,409125,591368,-1,93329,461133,-1,-1,-1,-1,114581,-1,-1,51209,-1,895301,565807,805407,-1,-1,-1,-1,763535,157920,446165,176027,884012,191071,-1,-1,744616,194883,-1,-1,-1,-1,-1,-1,-1,-1,574262,922720,-1,927879,655712,126231,744541,-1,264150,311674,-1,-1,-1,-1,946008,236690,-1,-1,-1,802264,-1,-1,863948,-1,459873,-1,310752,855761,638545,-1,-1,-1,423732,-1,-1,854207,897719,-1,749785,-1,-1,-1,911833,-1,-1,359984,-1,-1,448315,291741,348708,-1,-1,-1,-1,641930,-1,-1,908218,-1,-1,-1,-1,-1,635631,-1,-1,588101,424688,-1,851713,-1,-1,-1,-1,-1,-1,361918,-1,-1,689215,385694,-1,-1,-1,656886,-1,-1,-1,-1,-1,1847,-1,-1,-1,-1,895213,-1,36789,626129,-1,121984,-1,147305,289522,-1,200267,-1,980803,-1,-1,524563,-1,-1,436499,-1,-1,640505,-1,-1,-1,-1,-1,-1,-1,-1,233160,-1,445297,361228,-1,-1,596448,-1,-1,-1,14459,-1,522303,-1,166089,475245,-1,-1,-1,-1,686419,223387,-1,309173,-1,167296,711714,59228,-1,775492,-1,765190,-1,682196,255929,-1,154556,130732,695565,-1,155945,-1,-1,821109,-1,-1,-1,597543,669713,-1,242546,41910,-1,-1,-1,960334,-1,368975,-1,-1,-1,896395,130267,-1,-1,-1,-1,-1,964892,242060,893086,821699,59939,678190,-1,-1,819078,-1,959074,53307,554691,40505,266574,-1,-1,10389,-1,-1,-1,337979,419396,-1,-1,-1,750633,-1,-1,644027,-1,144085,-1,413041,-1,-1,302622,-1,469279,500458,-1,510615,-1,499066,470992,-1,80580,405972,-1,899684,180562,-1,946821,739754,551417,192391,-1,319525,-1,-1,952163,712422,665906,269100,890894,858705,287935,17600,117778,481345,68641,727625,-1,465144,857478,999844,-1,446914,408537,-1,-1,-1,-1,-1,-1,487336,-1,884234,572490,-1,218075,-1,800538,-1,-1,-1,133559,-1,55986,443858,-1,-1,210305,-1,-1,841365,-1,-1,-1,-1,-1,230688,-1,-1,964662,493376,337169,976548,233155,619539,-1,696779,919079,-1,528262,713946,-1,376908,-1,-1,-1,-1,441033,-1,-1,-1,975086,-1,933931,452956,681803,-1,-1,-1,16371,815965,973741,557466,-1,205872,39005,-1,528204,80301,855570,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,317474,738451,-1,472270,-1,427972,469869,56087,664423,64406,749468,-1,-1,954056,178166,55039,332776,-1,-1,-1,-1,-1,994461,-1,-1,971145,-1,-1,-1,965000,152894,-1,-1,-1,-1,561877,-1,174510,912978,-1,-1,-1,416143,-1,43040,649131,-1,939759,-1,-1,241560,-1,-1,634522,379073,625159,190351,765654,-1,-1,-1,-1,888700,-1,820496,677693,173113,-1,857930,-1,573650,735771,908961,516608,-1,809693,-1,-1,283276,-1,-1,877036,-1,758376,868351,-1,586546,-1,254582,-1,-1,644330,68116,-1,-1,-1,88736,584406,858785,-1,922502,-1,900266,-1,-1,548660,-1,294093,-1,83797,347787,-1,219888,-1,828384,-1,800058,959521,983806,845550,-1,-1,731942,238889,-1,701928,-1,279055,434917,-1,103732,700671,399392,827955,925215,-1,909981,986275,-1,916727,621103,-1,818877,-1,-1,-1,781288,-1,-1,898306,334800,823368,-1,431411,454494,808548,-1,717452,743154,697248,624153,-1,-1,564608,415096,-1,-1,-1,-1,-1,-1,-1,41391,-1,-1,511707,-1,-1,-1,-1,-1,788734,301357,-1,-1,-1,-1,258062,-1,600783,845796,449167,146585,-1,792502,-1,360646,-1,-1,-1,-1,-1,-1,-1,438920,-1,-1,-1,-1,694372,-1,250086,540097,-1,-1,-1,382740,-1,-1,-1,57775,935311,-1,-1,223302,444219,905270,735360,-1,845917,-1,878724,677348,13553,-1,-1,-1,-1,-1,-1,607734,-1,-1,780242,-1,162150,216050,-1,447136,-1,162917,-1,-1,593741,656982,-1,-1,818967,-1,58950,-1,-1,347088,-1,-1,254442,-1,-1,-1,-1,162146,-1,846119,-1,823752,373650,193001,-1,299031,-1,692258,-1,-1,-1,-1,-1,626941,-1,330036,964028,-1,-1,-1,178365,-1,207760,533820,213145,-1,206107,-1,-1,767589,66109,-1,812694,-1,464234,-1,167772,-1,-1,800215,-1,-1,127331,-1,575744,-1,-1,-1,548135,-1,639284,-1,567178,-1,422735,-1,-1,-1,-1,764867,423145,-1,-1,137550,487577,-1,-1,-1,-1,812190,-1,-1,236307,616171,-1,439611,-1,-1,-1,-1,72810,574206,196015,733771,-1,-1,-1,-1,281308,897501,-1,629303,-1,-1,451575,686618,-1,75186,-1,324153,941225,328658,320077,-1,-1,915355,797513,510522,-1,-1,568195,740543,-1,-1,951433,60380,317236,997906,-1,61553,752785,10501,799611,-1,-1,-1,325252,372446,-1,493339,924840,-1,-1,697267,71608,236317,-1,-1,835061,-1,-1,-1,921043,777766,54604,-1,747316,-1,-1,288009,-1,298539,-1,-1,208601,990479,896370,183137,664235,-1,320497,129293,-1,-1,-1,-1,970982,-1,-1,-1,-1,-1,-1,-1,167485,-1,-1,-1,627698,-1,-1,122998,97910,-1,-1,-1,584447,448408,230349,-1,657300,-1,401514,31166,1384,-1,492721,-1,762498,53553,-1,389429,501502,-1,284647,983556,-1,-1,126111,268668,405817,648096,396469,-1,-1,896924,-1,-1,-1,474162,-1,-1,-1,884129,88135,-1,-1,13442,256500,-1,-1,-1,-1,435460,350667,629465,734180,441442,402931,141258,-1,614365,483339,78380,-1,-1,-1,933536,944573,-1,-1,794009,-1,229917,-1,182468,-1,298668,-1,16720,-1,476425,-1,-1,-1,-1,659769,869920,-1,-1,-1,150777,745766,-1,909343,-1,-1,-1,-1,-1,835185,756930,-1,109903,445624,468568,-1,990884,421912,722968,-1,-1,148921,-1,655953,-1,-1,-1,775384,43011,-1,-1,782600,247296,-1,112573,-1,-1,-1,603819,-1,-1,-1,-1,-1,383992,853334,-1,704843,262765,702195,920677,-1,323001,-1,-1,639347,-1,965467,-1,-1,-1,-1,-1,-1,-1,-1,952736,-1,-1,-1,882818,-1,-1,524911,-1,131364,944703,749158,-1,34839,-1,-1,943908,-1,170124,-1,-1,-1,-1,777603,-1,572653,704515,-1,-1,-1,-1,299014,89862,-1,-1,-1,641513,-1,-1,823608,97104,88537,-1,-1,-1,632655,-1,129413,-1,-1,815974,-1,-1,291722,107314,-1,-1,797806,-1,335342,887334,-1,-1,-1,248132,872711,-1,-1,-1,895116,639664,929006,-1,673168,395172,677225,-1,-1,-1,544668,116916,-1,-1,117117,-1,832394,-1,689998,309694,875257,-1,-1,-1,265733,419265,-1,113149,699690,-1,635747,-1,625094,289977,-1,197234,-1,826710,-1,-1,931230,-1,-1,730482,-1,-1,-1,56037,-1,305994,49491,603787,345360,591190,-1,21893,-1,346397,-1,400026,-1,-1,780731,-1,-1,951626,730797,354564,346162,100648,-1,-1,-1,-1,132112,2843,30524,-1,751391,971119,-1,900981,-1,-1,372032,-1,983978,710454,-1,-1,922952,907965,183847,931599,325989,-1,-1,-1,620095,-1,626217,73348,866026,574052,-1,-1,859880,480579,345103,852071,-1,692051,766767,-1,-1,-1,-1,133994,-1,77163,-1,741370,87609,994442,-1,-1,673630,521105,-1,-1,357803,642332,975225,588775,-1,-1,71376,672221,10444,-1,-1,-1,424871,845743,532693,414215,-1,-1,-1,125961,-1,131856,-1,932810,-1,-1,-1,-1,661154,-1,57330,41236,-1,-1,580047,-1,978958,-1,341745,-1,-1,12328,-1,-1,162721,-1,592691,649023,-1,304549,344773,-1,568152,915198,3104,730505,-1,214458,-1,318509,-1,982056,512012,-1,-1,485302,-1,-1,-1,-1,840836,-1,-1,53564,992924,-1,442230,-1,468404,-1,-1,282327,611282,793151,117236,335514,17963,235446,411448,-1,996358,-1,-1,-1,654548,-1,529328,109872,374620,-1,-1,-1,-1,171546,2486,979069,-1,540666,-1,903232,50112,722736,-1,-1,-1,-1,128940,185692,765076,146735,-1,-1,5122,-1,-1,31906,-1,-1,-1,967414,147285,11806,748359,695366,911527,-1,-1,837308,-1,138434,318090,638923,-1,768282,-1,-1,-1,578899,468379,-1,-1,645070,-1,335823,-1,-1,491308,794445,504518,678257,462146,475820,-1,714152,-1,-1,-1,-1,-1,-1,-1,664422,-1,369241,-1,-1,56314,-1,-1,-1,207503,945547,282811,-1,939460,-1,170472,269938,672972,-1,-1,21765,-1,-1,617892,-1,-1,865351,285567,142051,-1,-1,146903,266747,-1,557836,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,681357,685595,423392,-1,479309,-1,-1,220855,-1,-1,143270,938923,-1,-1,58849,-1,-1,134484,-1,12913,934362,-1,-1,464701,-1,476831,112012,-1,88834,332175,-1,647052,89164,24537,-1,-1,-1,-1,-1,215810,-1,715909,-1,-1,819916,690789,139550,-1,586045,942480,-1,618108,-1,167248,-1,-1,70096,158756,607938,456492,-1,-1,413152,684840,511058,-1,512317,238064,573640,631264,213361,365520,-1,131545,831965,-1,491245,852699,-1,-1,-1,439347,35970,-1,-1,788856,-1,-1,464910,678197,67746,-1,-1,478298,606304,-1,2451,-1,425036,-1,-1,477990,-1,299761,667619,320676,-1,447503,605913,-1,-1,-1,-1,351654,-1,-1,-1,916935,830601,-1,5872,-1,-1,-1,392357,-1,-1,988648,-1,483051,861449,674073,410082,70427,-1,-1,-1,-1,803051,-1,933247,-1,573831,694615,-1,869605,514361,827478,814808,-1,665556,715599,-1,89027,-1,104835,-1,937860,560580,-1,396850,-1,-1,-1,-1,-1,-1,-1,630760,-1,-1,-1,-1,995076,476707,133693,121183,451493,-1,881763,-1,200792,-1,180974,166763,748012,-1,-1,933305,526479,-1,-1,-1,-1,-1,-1,-1,-1,-1,353434,189475,719022,192955,-1,48047,21410,525660,-1,-1,-1,561757,-1,505347,-1,435604,-1,-1,-1,120623,53635,-1,972279,628998,399123,374997,-1,231787,-1,-1,-1,-1,-1,513738,763046,190866,115461,-1,-1,-1,156682,-1,638054,561694,601269,359467,-1,-1,810435,-1,829171,-1,-1,960787,-1,-1,322585,-1,-1,936584,-1,562523,-1,156301,188406,-1,655149,-1,-1,334560,-1,493708,115629,977641,-1,690045,352872,-1,-1,281055,576124,490963,-1,893981,408910,-1,120809,953488,-1,-1,-1,433493,351210,220958,182049,562451,-1,-1,-1,-1,238189,-1,-1,-1,222419,194148,290302,950346,-1,-1,-1,860520,-1,-1,277506,809620,155106,657085,850008,-1,954640,-1,-1,404578,-1,-1,325845,757753,-1,990955,-1,-1,-1,-1,-1,595858,-1,-1,240525,299879,-1,-1,614564,-1,910278,661875,523878,-1,-1,282940,-1,391378,-1,-1,-1,-1,668515,354825,-1,-1,940693,-1,856000,-1,570044,241484,-1,217267,207388,-1,-1,-1,343515,782112,-1,-1,893791,473094,-1,-1,-1,80784,231836,128896,-1,765900,377728,888930,-1,-1,-1,739006,-1,-1,947185,796135,-1,602033,420349,-1,-1,928849,473813,877753,497231,247837,150906,475811,-1,-1,220293,76512,-1,441674,82055,-1,929643,-1,581180,-1,-1,-1,249572,320714,107371,-1,464235,240675,-1,-1,671521,424592,296849,-1,-1,930241,896272,-1,-1,810400,-1,-1,891047,-1,739730,-1,-1,315352,135439,760325,992196,451136,-1,100294,-1,589126,987346,277950,334510,543010,-1,-1,881684,-1,101696,18833,569397,-1,-1,242470,946619,638083,-1,557445,459019,703434,-1,171824,-1,-1,-1,-1,-1,281203,-1,-1,312435,-1,-1,393933,-1,-1,789852,-1,-1,-1,-1,-1,-1,140701,-1,908071,-1,42689,-1,689864,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,152663,144601,-1,-1,-1,-1,71746,-1,-1,-1,-1,283267,692948,197016,-1,-1,-1,-1,-1,-1,32271,562874,405380,250532,-1,-1,-1,-1,253374,949728,-1,802410,221845,288731,-1,-1,432852,-1,-1,-1,-1,685508,-1,-1,818678,-1,722643,-1,724447,-1,-1,-1,-1,539599,496889,-1,-1,918045,-1,-1,467193,295331,-1,-1,590801,759185,876131,-1,953309,-1,360699,-1,-1,250107,-1,680182,212247,25358,783446,-1,653945,-1,131557,-1,-1,364651,468951,-1,935871,-1,765263,438465,-1,-1,-1,711110,-1,-1,-1,36469,-1,-1,427863,-1,-1,939175,-1,319167,629594,244439,400801,-1,789121,768148,-1,362139,27716,-1,272193,-1,-1,68534,-1,-1,177280,-1,267014,457711,322326,-1,631353,-1,177520,407591,-1,521153,-1,-1,-1,565525,-1,659701,620567,427505,120010,702290,791951,753068,359800,877461,-1,-1,644524,329702,-1,-1,636808,-1,-1,-1,232788,-1,-1,-1,-1,29942,111555,-1,-1,101541,-1,615899,2960,296290,-1,-1,712725,-1,-1,653806,576942,-1,555058,196458,252196,553159,-1,520279,797745,-1,896680,-1,383473,367410,207292,-1,-1,789148,736195,-1,-1,136915,813689,-1,-1,-1,251182,449449,894649,-1,275794,171591,470206,-1,-1,748985,-1,897075,-1,414411,804173,144440,170310,34713,-1,758259,-1,-1,63859,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8253,185141,778257,962115,464225,-1,255269,932627,-1,129318,605286,-1,-1,305536,-1,-1,-1,-1,415249,644459,-1,-1,-1,-1,252054,581459,-1,737321,-1,532457,392792,-1,-1,446341,501387,-1,637357,772328,-1,632720,-1,-1,-1,215858,-1,-1,762717,-1,-1,-1,-1,727287,-1,-1,532114,-1,92313,19749,135097,18502,-1,-1,743148,-1,325881,472094,-1,-1,-1,-1,298620,-1,-1,622847,597793,-1,-1,101261,-1,123096,-1,787982,-1,355776,321483,280990,-1,-1,384685,32920,958364,575842,196099,990185,-1,684600,-1,371813,824230,-1,-1,-1,-1,-1,-1,-1,-1,-1,349034,434112,88748,-1,-1,422439,544855,-1,193434,56625,526708,605943,-1,574272,-1,-1,-1,367808,506678,740412,-1,-1,-1,443904,-1,-1,309461,-1,578236,275271,-1,677282,911218,444793,43854,-1,487478,574454,-1,-1,237870,-1,-1,-1,621613,396793,-1,-1,-1,916860,-1,-1,438613,171324,-1,-1,-1,355166,-1,402139,-1,493655,-1,601330,-1,534718,-1,-1,781339,400359,-1,749235,-1,-1,486661,642829,-1,801855,-1,725259,598992,-1,-1,-1,-1,379121,195058,70396,-1,432447,-1,-1,-1,-1,571854,906519,-1,-1,-1,-1,-1,77486,143230,-1,906588,852500,-1,87227,552889,700111,-1,-1,-1,-1,-1,-1,738163,-1,587843,722286,981947,633584,560331,697235,-1,124940,979860,130108,-1,-1,-1,995247,-1,-1,-1,792182,-1,-1,62764,581336,219194,524565,541866,1156,358651,-1,-1,799873,196169,-1,-1,792343,530397,76633,-1,911690,-1,-1,280300,-1,-1,172702,553094,-1,-1,17102,896867,-1,408426,-1,850672,-1,-1,-1,-1,-1,72258,386102,-1,-1,-1,3540,-1,-1,-1,-1,874887,276902,-1,218873,-1,-1,667370,719499,-1,-1,480671,-1,707927,378293,-1,-1,-1,-1,670009,-1,-1,-1,817375,605112,-1,-1,52193,-1,-1,-1,-1,-1,-1,427342,327107,462827,377730,-1,-1,227120,-1,-1,889399,844658,294682,180931,-1,464218,-1,-1,-1,-1,-1,993348,-1,546051,727142,-1,884920,-1,43547,-1,956056,-1,-1,-1,-1,-1,-1,-1,203198,-1,500526,-1,-1,897096,273458,-1,582669,997286,691879,504688,-1,121896,213264,-1,473728,-1,-1,-1,-1,375767,771486,31536,642536,475349,645789,228989,149735,-1,-1,229311,16969,736093,268629,-1,-1,-1,-1,659237,-1,-1,-1,-1,20160,549592,-1,366289,904546,665223,606831,-1,-1,-1,6124,-1,-1,530225,55178,-1,546043,-1,238173,-1,-1,-1,-1,65995,-1,-1,-1,-1,-1,186491,110736,535238,-1,135467,219506,-1,574220,-1,-1,546769,-1,-1,777629,876030,622693,320094,-1,16055,-1,13992,790998,513407,413538,435494,-1,48924,-1,-1,-1,-1,-1,855944,560133,590579,-1,-1,745297,-1,-1,-1,-1,-1,-1,981639,-1,-1,-1,894137,959399,-1,-1,69330,711052,708331,-1,-1,15564,16644,-1,796694,618948,125408,226070,300644,-1,388747,676064,780699,178673,836357,-1,-1,167231,482937,442796,-1,407157,716508,982603,2068,593333,17281,734232,-1,-1,-1,821858,-1,214285,490974,948986,-1,360098,-1,-1,-1,-1,504748,517382,-1,895389,-1,-1,119923,-1,-1,-1,-1,397486,730551,-1,176982,351528,104040,803982,385494,-1,401337,-1,533722,-1,-1,-1,-1,618878,599639,-1,-1,610537,665718,-1,50516,188747,-1,167212,-1,-1,872789,-1,150979,411389,-1,-1,-1,-1,184028,405558,-1,313692,-1,712866,-1,805044,961319,825254,853847,-1,103978,443735,552420,-1,-1,-1,119605,-1,633024,280488,808367,-1,-1,-1,-1,-1,-1,990996,-1,-1,-1,49265,709058,859612,-1,-1,484368,-1,-1,-1,405407,-1,-1,-1,482934,458992,182617,128685,-1,272501,-1,-1,-1,-1,624080,184871,-1,309814,96425,-1,-1,-1,263759,856079,682694,159908,-1,480451,-1,375934,-1,-1,-1,-1,-1,-1,628327,-1,-1,-1,-1,-1,827189,-1,155137,392638,632818,-1,-1,886067,-1,-1,957486,785234,-1,84340,795220,473741,814924,-1,152980,49794,430734,412782,939046,129400,949455,159552,665867,634614,585616,-1,880737,943783,-1,370280,727236,282582,-1,473164,-1,-1,815360,205962,-1,651857,224885,212855,660407,-1,-1,230975,-1,-1,795438,-1,891498,724349,815971,566361,532692,669643,-1,-1,308534,113431,171767,362169,-1,-1,424245,934481,351172,-1,-1,937206,-1,-1,887309,260879,-1,889269,-1,206294,-1,570483,453060,-1,-1,770521,861896,658310,-1,490209,850207,107559,714808,407891,-1,-1,-1,371385,-1,-1,-1,-1,-1,237560,370750,-1,-1,-1,602939,-1,35824,976225,291838,51580,-1,578717,406322,-1,-1,660997,626604,-1,-1,585701,450881,412334,-1,-1,398098,256562,-1,911195,514987,763445,-1,-1,-1,-1,-1,-1,-1,75331,-1,17841,-1,-1,259193,-1,-1,328329,21437,-1,830213,185187,471418,647326,321968,489373,-1,836166,-1,555575,249792,-1,-1,-1,521179,736459,-1,-1,861463,399764,343483,-1,-1,733322,727746,553109,849292,-1,-1,-1,-1,-1,-1,28659,-1,-1,638127,-1,-1,-1,-1,-1,-1,783148,407677,769389,939003,987207,-1,-1,86368,870239,292030,509427,469061,-1,-1,548310,-1,32492,741566,375369,837727,64512,-1,-1,130197,336775,-1,-1,-1,169882,-1,-1,-1,385757,622954,974172,944204,337727,817950,938341,-1,-1,234311,427634,778020,573676,696078,-1,-1,-1,-1,499412,-1,967351,462309,896550,-1,228597,-1,-1,970516,-1,-1,970057,-1,91752,315379,-1,398343,682071,701139,-1,-1,399144,777342,-1,436223,170093,367711,246022,408693,-1,319414,434672,-1,405620,117912,457848,722070,390301,986481,343953,741285,-1,-1,-1,-1,386960,182771,-1,-1,-1,-1,975044,933033,-1,-1,-1,-1,-1,703908,364453,-1,-1,-1,-1,-1,266599,956486,26690,-1,-1,-1,477129,-1,303280,-1,849615,-1,-1,250045,387224,-1,928181,771582,566227,-1,-1,203532,-1,-1,155895,980742,-1,38355,-1,-1,70640,-1,-1,-1,816648,-1,-1,-1,824221,362181,-1,578466,-1,-1,430211,-1,-1,-1,45782,-1,545874,591652,927855,760485,136691,-1,-1,-1,996592,-1,-1,988059,441702,180461,937464,-1,-1,246534,925572,-1,75224,182122,-1,785896,-1,-1,-1,-1,380002,-1,-1,137192,-1,-1,518030,-1,82812,99602,765456,580579,113108,2890,-1,981572,-1,586198,945475,-1,-1,-1,-1,639997,607785,298891,-1,-1,-1,550864,748440,348903,71296,-1,-1,876875,167780,-1,360998,-1,24312,645787,-1,-1,-1,836697,82123,-1,329731,-1,785018,559935,-1,-1,-1,-1,122223,318236,637647,-1,355205,753012,847472,-1,-1,360986,-1,-1,379281,984066,-1,787332,427795,295400,-1,-1,883932,768688,-1,52163,395568,-1,-1,782333,-1,448179,-1,-1,-1,-1,-1,184007,200731,266616,361632,131209,820128,579699,247041,-1,587664,-1,214471,539097,747240,-1,-1,123375,-1,-1,845462,-1,109014,-1,-1,-1,27410,468424,451854,-1,-1,502538,-1,791803,852556,-1,690739,433520,-1,226456,-1,794152,143039,-1,-1,609477,-1,882426,147216,27855,288182,-1,580787,811232,-1,464602,29396,715559,-1,127711,585681,-1,222525,141724,25742,-1,908414,501939,629114,-1,-1,633147,-1,-1,606363,-1,-1,-1,-1,981113,953778,-1,-1,701573,-1,802584,-1,-1,-1,-1,157083,645139,-1,71531,630911,-1,310935,131640,-1,-1,949547,416667,862113,-1,-1,-1,769290,276247,-1,632752,-1,-1,808355,-1,205056,321460,-1,319295,985866,-1,-1,-1,-1,371161,-1,612917,-1,-1,253131,509815,-1,-1,52850,697803,889928,482668,-1,-1,82572,-1,-1,26180,-1,814810,657699,567213,-1,-1,-1,739443,-1,-1,231926,-1,-1,549032,-1,-1,-1,471779,-1,-1,988035,566846,-1,324609,659660,731230,-1,870219,55235,567824,232140,-1,165763,464805,-1,379163,489562,-1,655460,-1,-1,-1,-1,812429,-1,-1,-1,597943,127937,495063,628808,276565,-1,-1,-1,-1,-1,21335,-1,-1,994464,920325,599705,-1,-1,428209,460896,-1,-1,269726,782682,885104,-1,479897,555012,522604,-1,700362,-1,930598,933843,395605,-1,839509,-1,-1,-1,-1,529749,568269,-1,-1,264710,-1,333854,961200,-1,488606,-1,748550,771888,953809,-1,186193,363615,-1,32574,-1,590912,-1,-1,-1,73351,-1,-1,-1,-1,827928,-1,-1,46071,243294,-1,-1,60255,501635,-1,699090,553388,-1,-1,634959,-1,34760,-1,330676,442157,190339,205415,883865,885177,506153,-1,-1,478410,228699,72020,-1,840706,160075,670691,-1,310860,-1,666580,54091,476353,-1,317784,-1,-1,-1,-1,509923,358520,433325,52662,702151,-1,737643,454823,585441,-1,-1,373168,363389,359040,148259,465252,-1,680830,797338,662499,-1,275532,-1,-1,637231,-1,520252,-1,825950,-1,-1,-1,849959,895907,-1,186512,460250,196729,738227,-1,-1,-1,-1,178436,424151,-1,-1,-1,733510,-1,-1,266764,-1,-1,291735,-1,680260,-1,394602,-1,229354,293184,-1,-1,713893,447671,-1,-1,-1,-1,-1,288328,-1,-1,261975,413647,-1,-1,-1,-1,931866,313914,121148,818098,-1,387529,-1,139517,-1,-1,-1,522957,978820,855544,925669,416068,-1,-1,170217,-1,340098,759395,-1,827689,245610,31042,-1,328377,469068,-1,506461,-1,-1,-1,555979,-1,234,33841,-1,556338,-1,85999,-1,282751,-1,-1,28427,-1,736452,866687,720583,865117,335763,-1,-1,-1,274961,674493,-1,-1,266954,-1,452703,-1,-1,-1,364387,349825,-1,-1,298250,-1,-1,170721,-1,-1,-1,-1,477521,-1,361095,-1,-1,684216,-1,199653,-1,577716,-1,-1,-1,704025,-1,25032,518477,-1,-1,371173,957325,-1,-1,-1,-1,-1,-1,435106,-1,441031,-1,-1,-1,-1,16966,-1,-1,542341,66699,719728,941177,-1,-1,-1,-1,550776,874255,179592,988044,662332,-1,305153,740837,610185,233483,-1,747367,891260,261000,376429,971408,-1,743851,-1,556915,65296,468778,-1,338599,53055,813920,-1,-1,-1,537817,503834,-1,944331,200507,159733,-1,249206,223941,-1,273456,-1,-1,-1,-1,-1,-1,496794,996201,-1,281665,-1,319966,310410,507357,-1,-1,584039,-1,-1,-1,-1,482261,-1,-1,922529,-1,-1,508377,218166,-1,-1,981196,-1,932456,-1,-1,-1,-1,739711,-1,-1,974868,676366,-1,882210,710088,-1,191878,-1,919593,26192,-1,621368,-1,457963,408530,-1,-1,546381,-1,-1,-1,-1,-1,25663,730909,-1,-1,829373,-1,-1,-1,617359,933809,-1,394869,558859,449284,-1,-1,421875,457486,-1,-1,368269,424437,-1,998818,830121,667417,-1,-1,-1,-1,-1,211487,639209,-1,-1,-1,611229,861374,115511,821848,558711,-1,-1,313753,365664,139042,-1,586238,-1,-1,-1,-1,254709,-1,312411,-1,-1,412157,-1,364628,704710,-1,870579,-1,-1,-1,-1,-1,317576,-1,120813,76902,306081,433165,166173,391106,-1,962174,-1,285963,-1,-1,-1,524973,424107,-1,735582,130855,348469,-1,-1,-1,-1,236373,-1,-1,-1,-1,764375,-1,-1,394687,451267,81224,-1,19148,-1,284765,822419,427252,-1,215906,-1,-1,-1,-1,-1,-1,-1,255960,161854,-1,-1,179464,197626,723799,559,-1,760069,-1,439157,437100,-1,67763,-1,-1,78508,940445,801028,466908,922671,-1,-1,-1,7437,366681,6041,684889,-1,-1,-1,95307,-1,350014,-1,16444,-1,175604,544674,211711,-1,356140,795629,668209,-1,711520,266252,-1,-1,264050,806775,-1,-1,-1,-1,361850,-1,-1,-1,-1,811777,-1,-1,-1,96185,98298,165577,678057,465454,-1,-1,564914,120268,78466,858583,-1,66931,209844,570093,-1,578299,-1,847929,227299,-1,281707,309649,-1,-1,-1,-1,503636,863785,182792,2284,-1,113870,-1,-1,-1,396820,-1,869042,-1,39998,-1,-1,-1,310168,59515,56001,39304,164063,-1,690241,-1,779217,-1,494138,487722,-1,-1,-1,-1,-1,209064,-1,-1,318178,328243,-1,420715,868388,-1,-1,889152,-1,108202,464678,-1,464788,-1,-1,965757,382241,-1,572556,-1,277853,-1,-1,-1,160936,407988,-1,975275,160648,-1,-1,188111,-1,542279,937421,43618,326391,-1,-1,128684,787346,12496,-1,682195,282310,760651,-1,-1,-1,-1,441098,754633,-1,110101,-1,-1,-1,397347,-1,-1,-1,-1,588694,-1,34701,-1,-1,985981,-1,703882,-1,-1,-1,-1,-1,809587,76578,208478,-1,935111,92989,180782,-1,-1,-1,3562,163104,-1,-1,143341,-1,448749,-1,-1,-1,-1,-1,-1,604736,-1,911882,719439,457553,675122,810053,-1,528874,-1,210252,213677,704385,929649,-1,-1,881940,-1,633467,-1,-1,964506,177041,137979,-1,-1,770691,-1,810595,869738,-1,979310,966594,-1,-1,307516,303184,-1,-1,647001,428439,-1,-1,-1,-1,-1,109772,-1,-1,-1,-1,-1,-1,824211,-1,-1,222706,369214,-1,-1,-1,-1,-1,332930,350928,742456,-1,740438,-1,517676,955119,-1,395084,838385,797748,-1,-1,-1,939467,-1,512674,371464,-1,-1,-1,-1,-1,-1,572498,715766,468890,283427,719618,848181,-1,-1,36127,857427,-1,-1,-1,430420,487560,-1,820127,-1,-1,-1,167054,816263,623437,224298,-1,-1,-1,-1,182938,862796,473568,872766,-1,-1,-1,920741,821494,426824,544488,-1,-1,155805,-1,-1,-1,-1,873041,-1,-1,246103,654864,-1,642537,-1,399782,-1,914248,-1,565701,587994,-1,-1,681604,-1,310325,551159,-1,321812,166153,115626,-1,-1,827441,782720,-1,-1,495854,-1,113398,914,96549,-1,962780,-1,-1,-1,-1,8913,293978,-1,16195,343230,-1,-1,470363,-1,84320,622627,-1,-1,-1,-1,680845,464879,635707,37284,600993,220630,481079,-1,-1,830691,541330,-1,-1,-1,-1,965900,-1,289099,-1,963784,144797,-1,718393,1490,-1,-1,-1,-1,629096,814222,761839,593511,-1,59390,570769,-1,-1,986390,748087,372362,-1,-1,-1,179541,878403,-1,-1,-1,-1,-1,758225,662244,-1,-1,395878,-1,-1,-1,307822,-1,496560,-1,-1,63759,-1,-1,945586,728682,-1,-1,-1,957986,31409,-1,-1,-1,938561,-1,-1,831516,-1,-1,-1,327594,-1,-1,-1,707725,580662,-1,-1,792079,-1,-1,-1,-1,-1,-1,486637,-1,66933,-1,-1,763514,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,644927,218304,163445,-1,-1,-1,-1,602609,889183,-1,462782,-1,20027,785777,808334,-1,451126,204153,-1,734889,-1,628270,856902,-1,560949,-1,-1,366911,526280,697527,-1,97912,-1,265971,-1,13203,28622,240039,-1,-1,-1,-1,969673,-1,449048,170213,289408,-1,-1,188673,659390,-1,-1,-1,-1,613333,-1,-1,-1,-1,-1,977648,-1,416651,-1,-1,652827,-1,-1,-1,449398,-1,-1,-1,-1,-1,268803,-1,848624,-1,658230,-1,-1,804156,-1,549302,-1,266129,372060,-1,-1,-1,810254,395658,832207,-1,567567,557544,766579,669075,424997,-1,605282,-1,-1,-1,481529,883944,531750,-1,185771,940148,814193,795264,-1,-1,263519,-1,-1,-1,598872,797402,594016,886899,795370,-1,858291,-1,-1,-1,208580,520879,29771,436999,-1,-1,-1,410984,598751,649496,-1,732480,99038,182751,904472,852176,946850,142885,405241,903182,-1,-1,-1,-1,24626,765778,373425,-1,30190,974537,995522,772863,909348,-1,-1,-1,-1,-1,-1,212906,-1,390162,166988,-1,-1,-1,-1,-1,-1,813220,523698,546373,714360,574159,-1,-1,-1,-1,-1,854451,188525,-1,-1,-1,316800,-1,-1,852724,-1,-1,-1,-1,940103,-1,-1,-1,166425,-1,-1,549632,754373,-1,31099,-1,51808,51813,-1,-1,-1,-1,424359,-1,-1,-1,157557,-1,640767,509964,166761,-1,818180,897171,497369,522454,-1,682948,-1,369497,-1,144363,-1,-1,-1,-1,239318,-1,172253,360390,397704,-1,-1,-1,-1,328891,-1,529008,43623,515466,-1,52164,858488,-1,-1,-1,-1,-1,-1,505889,-1,335138,-1,-1,629004,-1,-1,-1,-1,686079,45360,145368,-1,-1,699202,-1,964307,217684,-1,408257,-1,272550,321570,-1,4932,-1,330449,877521,-1,-1,-1,690798,777936,-1,552785,-1,745596,-1,-1,147664,853001,890868,-1,-1,-1,-1,-1,624474,-1,469936,173583,-1,-1,561753,-1,-1,-1,722523,-1,956792,-1,130418,-1,522171,894857,105468,-1,953142,-1,-1,503880,469502,-1,-1,-1,995993,369686,-1,820393,-1,-1,-1,748436,-1,-1,251964,-1,439540,439683,-1,-1,-1,891921,-1,541036,-1,415765,177959,-1,-1,512090,57581,-1,288126,-1,-1,409520,114250,-1,1463,187741,-1,856494,673323,597287,-1,334466,379278,-1,-1,-1,520718,301655,207987,921208,-1,-1,-1,293328,428860,252355,-1,-1,-1,-1,-1,207097,694809,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,136444,418872,978551,703856,824822,-1,-1,-1,-1,571821,250771,366260,-1,-1,-1,-1,822626,19213,-1,127728,-1,-1,124521,961443,483277,-1,744515,635780,-1,566552,793974,-1,-1,-1,556689,-1,-1,781932,197607,969286,-1,244354,260668,-1,-1,-1,-1,950198,-1,-1,-1,-1,344015,76924,-1,729990,362490,-1,-1,923219,-1,-1,-1,-1,9754,802884,-1,-1,492697,-1,522503,549982,273972,806390,-1,-1,-1,530329,-1,419112,73174,802982,-1,16088,-1,-1,-1,-1,-1,850552,844560,224531,451364,441720,81858,-1,596800,675961,273783,-1,-1,190060,614931,352775,4688,633236,479365,-1,598801,22472,-1,-1,85102,385916,-1,426971,860241,-1,-1,-1,243926,377332,353912,-1,284612,31363,-1,-1,-1,268203,-1,387530,-1,399380,-1,-1,971830,585597,-1,537623,955900,-1,-1,237752,689332,36627,712448,-1,718335,859732,291280,-1,-1,362010,-1,244155,-1,176726,-1,-1,909533,707915,-1,-1,-1,-1,-1,-1,723037,-1,865988,948621,-1,302639,784291,-1,20277,-1,-1,449034,-1,338890,-1,-1,152515,218471,143998,404759,-1,489966,-1,743706,896007,-1,-1,-1,-1,909682,-1,-1,259189,-1,133918,-1,607562,423068,-1,-1,678444,-1,721630,938129,-1,-1,-1,985780,265972,715888,947528,240751,-1,467118,-1,157652,-1,240853,81178,29935,772823,-1,-1,-1,279399,-1,-1,759943,-1,836229,-1,-1,862520,583241,-1,870371,992437,-1,528979,142538,-1,-1,897645,-1,-1,-1,-1,-1,-1,-1,-1,-1,361325,-1,-1,-1,-1,345665,-1,247500,-1,112994,577455,501473,957190,-1,-1,842406,493581,123186,-1,-1,404244,937882,455892,-1,627532,277304,-1,-1,-1,513707,992469,974215,-1,-1,-1,444150,243387,-1,-1,-1,-1,652366,-1,260729,106079,994488,825359,-1,-1,894585,-1,860273,-1,964233,-1,-1,974909,-1,-1,-1,714580,-1,376166,-1,535927,385517,458078,-1,-1,-1,-1,-1,384814,219894,-1,778697,584358,847322,-1,-1,54201,-1,-1,881922,75924,523939,-1,-1,482164,-1,-1,326931,-1,-1,-1,601582,628703,-1,-1,63331,212958,876041,-1,-1,-1,892360,-1,713008,973732,78306,-1,-1,775626,-1,67255,-1,-1,-1,-1,158707,507074,591279,-1,-1,10514,-1,-1,-1,-1,534400,-1,-1,405009,160437,129283,215585,-1,970878,-1,-1,-1,-1,532162,-1,153760,-1,792966,-1,328269,-1,562026,-1,-1,959425,-1,-1,-1,102590,196167,-1,-1,428933,-1,-1,-1,415986,-1,570940,761700,20797,-1,287705,909658,-1,937628,223163,664429,474511,463362,461738,-1,40547,941769,-1,265206,725969,72513,338344,-1,906720,-1,736647,-1,213369,-1,-1,-1,-1,-1,-1,-1,319900,108954,-1,-1,-1,-1,787440,-1,-1,37838,-1,820909,-1,97921,251098,494099,-1,-1,580322,894443,-1,96309,-1,708067,136136,-1,-1,873628,-1,27239,-1,433408,646231,-1,-1,-1,859593,995432,441381,-1,-1,531772,91827,136557,902546,-1,711577,-1,-1,193404,-1,977446,-1,-1,-1,-1,-1,350947,-1,994958,283905,-1,-1,-1,-1,875414,342456,626325,-1,819226,-1,-1,-1,-1,828397,-1,94374,814350,388464,853283,-1,-1,663252,485476,359910,151192,441080,320051,-1,-1,95979,15073,604901,-1,-1,165918,522112,27449,908374,249777,-1,-1,529325,39194,-1,436774,647880,-1,-1,607889,881157,-1,-1,697721,310763,628767,746248,-1,-1,243826,231201,262043,555856,-1,-1,986425,197889,8976,469583,-1,-1,-1,210202,358790,221086,435766,758484,165364,802643,-1,601339,-1,-1,515684,-1,132098,-1,-1,-1,641110,974730,505396,-1,-1,-1,739274,905398,-1,470052,-1,-1,-1,297912,875105,-1,590509,491420,-1,-1,-1,936464,423451,-1,-1,-1,-1,980136,-1,564325,902915,-1,580135,-1,-1,-1,41445,-1,-1,244127,-1,-1,425170,-1,-1,744558,291266,246845,-1,969933,-1,-1,599492,-1,-1,-1,766464,-1,-1,-1,44454,868768,-1,484933,683589,876277,-1,-1,651758,-1,841362,-1,592103,25584,752553,-1,-1,-1,84485,-1,-1,599935,635525,153675,-1,240635,-1,-1,-1,549378,864377,807150,-1,-1,-1,-1,50767,-1,-1,821302,862054,-1,593749,-1,-1,690095,-1,-1,-1,840311,414268,-1,187013,896639,-1,-1,-1,717133,-1,332043,-1,997311,-1,-1,-1,128395,-1,390976,-1,705579,203849,-1,-1,541569,288244,-1,207461,901654,-1,-1,-1,-1,861210,-1,960122,-1,-1,-1,-1,-1,361656,744328,-1,648040,-1,404333,-1,582419,-1,-1,589001,128654,148842,519991,372177,-1,365138,-1,285572,679444,-1,-1,-1,-1,785600,523181,898025,646269,287082,486985,916305,-1,-1,676274,184836,936800,-1,670033,315020,733534,948423,474745,279733,-1,370905,-1,-1,-1,744922,-1,-1,973534,340915,-1,-1,87501,-1,-1,462021,533507,-1,-1,-1,-1,947057,-1,-1,489440,-1,453314,88444,-1,-1,789428,-1,-1,119405,-1,-1,-1,-1,755271,-1,-1,-1,523688,-1,-1,-1,-1,808397,440293,376943,968983,313853,-1,616484,746279,857551,442360,-1,72442,496803,998367,38175,-1,-1,10314,25556,-1,-1,322314,857036,-1,432057,-1,-1,928143,790605,-1,-1,117689,-1,-1,-1,-1,292506,361711,-1,654082,404860,902153,95980,662495,-1,899102,-1,196346,-1,413711,-1,-1,-1,381239,505599,294192,-1,956919,476812,152239,-1,714170,-1,-1,-1,-1,211054,-1,758734,-1,794922,23166,820233,-1,645746,44507,-1,309470,695776,559859,464346,20802,-1,187102,45785,876717,-1,933647,-1,-1,-1,-1,276584,732573,-1,657097,-1,-1,150781,-1,969290,-1,31414,139765,618582,-1,785074,-1,538690,381947,670274,-1,-1,907354,-1,731246,561129,-1,341516,215113,295929,586947,327336,-1,-1,551598,-1,-1,-1,837351,681250,-1,-1,-1,-1,-1,-1,638658,-1,-1,-1,-1,-1,492864,-1,33002,667909,386231,924693,-1,-1,487276,-1,278911,-1,-1,939418,-1,-1,-1,-1,-1,685868,-1,130963,-1,-1,507107,-1,-1,-1,-1,530366,-1,751141,-1,491,-1,-1,127143,-1,-1,-1,114754,-1,293908,-1,973184,171124,360518,-1,-1,-1,307706,-1,-1,490216,-1,-1,-1,-1,342901,-1,935706,56590,520155,718232,305608,-1,-1,-1,819366,-1,-1,-1,-1,662907,-1,305665,956869,-1,-1,915261,849288,606386,-1,442909,162488,-1,-1,-1,-1,752267,70073,-1,-1,688884,775751,-1,682185,-1,-1,726614,-1,-1,248345,455889,365080,-1,-1,-1,504823,-1,-1,294741,181949,-1,-1,-1,-1,948961,869203,416096,17330,303772,-1,229384,-1,-1,-1,-1,789626,269957,-1,-1,-1,-1,403893,626425,283249,159109,597222,-1,-1,979068,-1,-1,-1,-1,-1,103073,-1,369258,-1,329406,-1,30930,-1,202432,647149,178393,-1,-1,-1,901327,959182,311545,685254,108517,-1,-1,-1,-1,560067,-1,409981,794838,818797,892985,98039,162228,-1,-1,-1,-1,-1,-1,-1,205644,236540,4509,-1,899797,-1,-1,444370,-1,479949,-1,-1,399693,-1,508892,-1,9373,-1,-1,-1,557548,807902,-1,36293,841753,-1,-1,-1,11379,-1,-1,-1,-1,602419,98098,395588,87610,-1,-1,-1,-1,566957,461802,-1,54762,-1,-1,-1,-1,349289,849312,-1,-1,952744,468927,533894,-1,-1,425318,763912,859018,-1,909472,728819,-1,8866,-1,-1,487291,216755,909509,-1,339257,158928,-1,670533,38848,-1,299863,-1,-1,-1,-1,-1,-1,891343,905305,691029,978476,-1,-1,511638,-1,-1,480363,376771,-1,450740,-1,-1,-1,330383,22791,-1,991466,182964,95249,-1,271674,661821,448056,496551,854812,679694,-1,-1,-1,-1,-1,369531,721617,-1,343576,-1,-1,-1,37526,-1,474291,-1,62555,223720,-1,-1,408168,-1,-1,611551,-1,-1,-1,964635,-1,755818,-1,-1,202591,867086,530063,840322,-1,-1,37916,-1,-1,990286,277093,-1,845800,-1,-1,131187,-1,300676,-1,27009,-1,-1,-1,968136,-1,-1,521727,-1,-1,18889,-1,59219,-1,730601,108286,760056,95009,-1,-1,-1,-1,9051,858179,-1,253931,619503,-1,-1,-1,-1,872337,42900,-1,-1,-1,-1,157677,-1,702525,895317,-1,977659,-1,-1,295811,-1,-1,-1,-1,415426,-1,-1,-1,848352,-1,-1,480072,543830,-1,-1,-1,-1,364885,-1,437979,189178,-1,-1,284707,-1,578679,157522,641139,-1,-1,-1,819039,-1,306223,942349,253598,675254,696490,-1,509987,306720,149511,-1,201675,-1,595967,377936,-1,344857,431195,688766,-1,-1,-1,325975,-1,74921,-1,-1,340678,-1,-1,-1,-1,-1,747923,109196,167627,867919,894319,-1,-1,-1,-1,-1,-1,870515,723772,-1,231713,263257,105796,-1,724089,823201,181538,713378,-1,-1,144954,451611,-1,-1,203515,429711,-1,-1,-1,-1,-1,349011,685529,870997,-1,757424,711375,414957,452224,201444,620455,426608,333262,290057,-1,-1,-1,-1,795053,-1,-1,487870,565779,-1,-1,-1,-1,-1,-1,431182,960974,-1,821689,102577,746456,-1,57925,357800,763771,-1,714593,339716,644447,-1,-1,664237,961234,-1,2257,810416,-1,814354,-1,698652,851831,-1,-1,-1,267054,534088,858752,-1,171725,434324,-1,-1,-1,149655,-1,53671,218600,691452,-1,925054,97805,227871,-1,196318,-1,-1,820347,-1,-1,-1,796759,573989,-1,426122,-1,330834,-1,-1,936454,-1,356510,366010,782787,512569,149663,-1,51639,205402,-1,-1,14270,314266,215597,-1,-1,-1,941492,-1,653013,-1,16368,-1,-1,292426,25133,332485,-1,122775,470891,-1,629157,-1,140145,8398,-1,149666,-1,-1,-1,-1,996972,-1,504031,-1,880553,767263,698637,-1,965740,-1,-1,55388,531855,246268,697055,-1,-1,591120,-1,421396,249886,-1,-1,-1,590430,-1,-1,716008,599453,-1,486396,-1,-1,-1,-1,481741,221159,-1,373788,-1,381063,508719,-1,-1,-1,509567,-1,-1,80165,57113,73860,-1,604849,-1,114795,-1,-1,304009,695035,-1,-1,875823,212940,544817,704713,-1,-1,496254,-1,-1,-1,668709,-1,-1,-1,835638,583785,-1,65271,-1,-1,15273,-1,604120,-1,835250,-1,318199,-1,466382,-1,-1,890505,-1,-1,-1,212011,96891,-1,107268,-1,-1,-1,-1,-1,-1,-1,-1,-1,707183,-1,728575,483128,-1,-1,480056,-1,-1,-1,-1,-1,-1,966391,-1,-1,-1,-1,383728,-1,117050,431653,-1,532347,725765,190512,-1,-1,-1,597557,-1,512852,467642,222623,-1,-1,-1,-1,512069,-1,-1,736446,467554,141412,723196,-1,-1,229845,-1,-1,342432,-1,638505,-1,845605,-1,-1,-1,365364,755112,-1,-1,-1,884626,-1,-1,-1,688852,619799,543849,-1,-1,-1,750406,-1,803800,528581,-1,473137,-1,27318,512207,856240,-1,848471,-1,770489,560014,-1,527600,516412,-1,-1,-1,244691,-1,-1,852623,798668,686823,-1,-1,-1,576925,-1,197964,173915,-1,-1,54718,-1,-1,440523,956076,-1,394807,953933,-1,636606,-1,-1,858167,-1,607263,-1,-1,-1,-1,-1,-1,280387,454479,-1,-1,215057,757223,-1,-1,-1,-1,854600,-1,-1,812453,-1,-1,-1,-1,-1,513981,269393,855118,-1,-1,369474,793039,-1,-1,-1,588180,-1,-1,543582,709093,443431,533243,-1,861527,600821,-1,-1,106534,780131,-1,823331,556295,-1,-1,145335,-1,-1,961655,28193,873926,-1,748043,702095,152535,386462,396407,-1,-1,-1,778268,-1,-1,757288,319202,-1,968980,377906,751670,-1,967044,555459,177519,-1,720944,-1,-1,-1,29395,543375,166309,-1,20031,214174,-1,-1,-1,-1,320348,-1,-1,-1,-1,-1,-1,810943,998056,800420,-1,-1,-1,-1,315360,-1,-1,858321,-1,-1,-1,-1,-1,917797,-1,-1,195650,609199,245972,751775,915423,-1,577681,92600,11414,-1,-1,24988,-1,504402,-1,667114,-1,516135,524695,273335,80443,-1,-1,-1,-1,-1,771742,4610,-1,416056,227820,-1,-1,-1,584049,718993,703468,11286,-1,-1,121863,-1,695404,968406,356631,773334,68410,-1,-1,832847,-1,20886,-1,576435,249294,-1,876196,970750,255793,8123,-1,751725,-1,-1,736059,339524,682764,-1,871014,487823,393774,-1,-1,369835,-1,-1,-1,201478,-1,689711,-1,250458,392163,804568,195263,-1,542526,448294,-1,547993,668074,78358,-1,-1,430654,734028,504581,136799,684783,344043,-1,-1,-1,-1,-1,-1,450925,493513,-1,429409,-1,942673,-1,484721,-1,-1,13450,-1,-1,-1,363016,811605,938926,-1,111881,-1,-1,899701,679772,439758,727682,-1,37030,-1,728963,836913,-1,663134,990134,-1,990199,-1,-1,-1,472762,-1,849909,-1,939054,-1,-1,614405,574671,741115,-1,149312,-1,213237,-1,322864,-1,710930,107914,-1,365853,-1,675476,786934,978273,131189,436742,-1,673420,-1,-1,266607,690142,-1,113219,766426,881174,-1,952346,826797,254250,-1,-1,-1,-1,-1,2072,398541,-1,49504,6351,600905,-1,700454,-1,144849,-1,-1,-1,471882,-1,-1,-1,-1,178534,793246,-1,677651,405365,-1,-1,577214,240074,-1,367508,-1,152525,-1,628440,-1,61651,434726,-1,-1,-1,554507,52005,46691,219582,-1,-1,589271,-1,660982,822934,-1,961430,-1,466434,612773,-1,184605,341959,707428,-1,-1,738980,203021,-1,839170,630424,-1,-1,-1,-1,-1,842951,264120,708577,-1,-1,-1,957152,130981,602131,819485,-1,-1,278922,-1,-1,708360,465122,-1,-1,909917,-1,757958,438372,-1,-1,885945,-1,120120,-1,-1,278610,-1,501601,207827,554333,860733,-1,813105,-1,-1,-1,-1,552093,-1,902600,-1,195028,-1,246480,97607,139853,77823,219363,-1,75961,-1,-1,-1,-1,-1,-1,591557,612685,-1,93899,-1,-1,589034,-1,303575,-1,602305,613427,-1,-1,-1,-1,937689,467254,996454,305960,-1,-1,122185,-1,-1,569179,-1,-1,-1,295089,593972,-1,979440,984944,-1,560388,-1,-1,-1,777792,135504,589759,-1,750786,459118,577553,-1,-1,318075,-1,-1,795423,-1,-1,16545,-1,-1,654094,273517,628915,818771,-1,-1,-1,-1,-1,965362,-1,-1,-1,396364,-1,834888,587269,-1,64158,461901,-1,17520,-1,-1,920003,71166,84134,558510,-1,-1,-1,-1,-1,967120,630749,850248,-1,964926,-1,230460,-1,792570,-1,-1,744880,-1,2781,-1,914794,220820,425981,-1,126972,-1,394505,700995,-1,-1,-1,857967,427453,710049,-1,536316,-1,-1,286012,-1,-1,492564,826912,-1,-1,-1,721273,-1,571046,-1,-1,-1,591724,158006,983919,776187,-1,132067,-1,983607,878983,115474,-1,48735,56861,-1,595528,424146,-1,-1,991764,579068,877298,647783,-1,109910,704654,-1,-1,-1,-1,804040,-1,-1,812421,703145,108709,564099,355405,-1,563822,-1,-1,116150,-1,-1,425111,-1,-1,-1,-1,-1,270079,462204,302492,-1,316650,-1,225198,-1,534787,581498,742287,-1,835088,569735,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,636644,616098,869261,-1,767088,378913,153951,-1,804845,-1,655389,-1,637217,-1,919067,-1,963151,797710,902887,448619,-1,-1,-1,128740,-1,-1,-1,725400,670894,523706,376962,-1,-1,866380,176829,-1,500199,803676,-1,666656,-1,-1,494036,369852,-1,273136,669854,-1,-1,-1,180042,-1,-1,-1,-1,916267,526312,-1,881665,378159,604710,-1,-1,524919,577147,834353,-1,893633,449870,-1,455014,224096,-1,-1,698564,-1,-1,-1,684807,-1,-1,-1,-1,-1,265561,-1,-1,922936,874926,-1,614700,681062,-1,-1,991738,860432,-1,522815,977014,789306,-1,558241,-1,-1,691806,563671,-1,-1,744159,-1,132621,-1,13420,-1,-1,-1,-1,-1,378879,-1,-1,-1,-1,-1,280951,497885,720412,-1,254006,-1,34633,725270,140560,623065,999422,728713,78784,15419,-1,-1,-1,608183,-1,-1,665913,-1,-1,724282,760833,76706,178622,390019,-1,-1,-1,299850,-1,673177,533648,644481,980687,-1,485606,189867,-1,177751,604123,688586,17653,-1,171748,-1,-1,980049,917748,-1,-1,-1,552284,801297,113665,-1,-1,150730,-1,870545,230255,290601,-1,-1,-1,-1,961049,-1,795356,584876,-1,613578,845015,-1,-1,-1,-1,144566,-1,341392,164162,48074,-1,960133,-1,-1,-1,592288,-1,-1,-1,242993,773393,798990,-1,-1,485467,28400,812586,-1,182802,391697,-1,221547,251986,-1,856296,-1,91464,-1,-1,50492,-1,447050,883972,-1,-1,-1,-1,189560,335633,-1,172924,-1,-1,733022,-1,693293,153763,796091,877727,873028,827074,992514,-1,127095,413701,-1,-1,-1,527494,-1,255050,444024,-1,-1,921021,-1,875822,814489,-1,106102,-1,-1,354510,-1,496328,-1,-1,827875,-1,28372,933920,-1,969285,-1,200236,-1,-1,-1,438371,-1,679458,860730,-1,-1,-1,174170,-1,-1,-1,-1,-1,-1,-1,102159,21226,-1,941501,528808,623724,-1,960345,465990,-1,-1,-1,512980,-1,510797,-1,800014,-1,-1,990782,661709,-1,598367,-1,681303,-1,414911,-1,-1,324281,-1,-1,-1,363805,634648,-1,922736,-1,-1,497270,-1,-1,305131,748372,-1,664348,-1,-1,-1,-1,-1,-1,-1,534510,160882,496684,-1,-1,205945,-1,35534,-1,-1,648019,-1,68452,-1,-1,-1,716158,322719,24650,-1,401023,-1,939425,-1,295204,857667,635360,-1,-1,298852,592834,213724,793172,584581,-1,825212,-1,-1,-1,904872,117469,-1,663371,932904,-1,528637,65395,-1,468167,-1,111656,-1,442433,391427,961891,-1,456011,-1,-1,288843,215235,-1,-1,-1,-1,-1,136708,-1,623122,-1,-1,506621,-1,513471,-1,-1,-1,104299,-1,-1,-1,823589,282883,674398,119908,586463,-1,-1,-1,615727,780891,-1,-1,-1,-1,128551,-1,-1,560264,-1,-1,509549,-1,-1,-1,483334,-1,-1,521672,-1,-1,-1,-1,944881,413953,-1,782359,-1,-1,-1,-1,512580,-1,396448,460628,-1,695648,477703,831477,-1,-1,345798,-1,-1,-1,307133,-1,731390,625304,-1,-1,330196,644401,547168,-1,-1,-1,731446,812580,633376,833039,-1,661609,-1,-1,261466,-1,-1,-1,-1,-1,-1,932801,632927,-1,-1,111521,174124,-1,175135,36655,-1,427993,-1,478653,-1,-1,-1,-1,706856,-1,139917,189879,362805,-1,-1,-1,272399,-1,270088,-1,710188,-1,-1,-1,811498,-1,22528,-1,374628,312807,726828,-1,-1,636874,883491,-1,970760,-1,-1,347860,47079,629479,-1,-1,99653,454788,-1,-1,961892,-1,545957,-1,-1,-1,-1,410195,-1,-1,357365,-1,-1,-1,352625,-1,-1,648612,389434,-1,435421,386414,970405,-1,258243,-1,-1,147007,359532,-1,-1,110867,-1,-1,-1,576891,864923,-1,-1,143363,166687,-1,170693,-1,-1,-1,204087,278914,-1,-1,-1,606233,514234,-1,360142,783835,520411,-1,902084,-1,-1,184371,-1,-1,698610,255290,886088,239767,-1,-1,788493,-1,751741,465465,-1,63375,339453,-1,-1,-1,100638,297339,47912,407580,39705,-1,863588,28262,611949,-1,-1,-1,-1,715172,-1,529537,999766,-1,985507,480578,211002,220308,-1,600537,-1,-1,-1,-1,-1,-1,954919,-1,794585,490948,-1,564339,80184,-1,-1,-1,411405,121479,-1,-1,-1,-1,-1,80258,498688,795466,926119,-1,717832,-1,915013,-1,146330,69153,345337,-1,448555,683551,659021,260661,806194,287562,553315,-1,714248,-1,349079,356541,-1,-1,-1,-1,-1,581486,-1,135652,-1,531759,538383,237072,-1,451978,-1,-1,532398,602194,181317,-1,-1,-1,-1,422087,13064,125780,535133,-1,-1,542698,731378,758204,-1,987480,453956,137671,925538,427267,-1,755227,-1,-1,-1,43149,989025,-1,-1,656181,-1,645609,-1,-1,-1,-1,-1,-1,-1,-1,840297,441930,-1,-1,590751,939398,608157,-1,916715,-1,-1,-1,131361,-1,-1,138726,-1,464919,-1,-1,587427,-1,817925,-1,929848,-1,593232,-1,536301,575075,-1,-1,-1,-1,929350,678222,-1,365300,185225,-1,15809,341449,-1,-1,-1,-1,-1,316517,846864,-1,855541,-1,-1,460787,-1,-1,-1,643133,-1,886288,-1,-1,-1,-1,-1,828612,991102,-1,151461,105616,123871,924665,-1,-1,634862,-1,461453,-1,571322,-1,-1,278478,-1,798043,-1,-1,409140,835666,277305,942738,-1,34007,-1,962945,238984,-1,-1,90470,293937,198580,-1,192333,351051,429124,659987,-1,-1,-1,-1,-1,214933,-1,480407,186422,654298,573043,-1,-1,-1,904021,-1,-1,-1,414738,-1,717600,872135,999862,660295,378365,-1,705394,240042,-1,363619,264838,651359,-1,-1,441963,-1,660501,398459,-1,-1,418084,-1,-1,-1,-1,251124,-1,-1,97975,291314,631087,-1,-1,239227,-1,-1,535394,810921,328775,983728,-1,457491,-1,327992,-1,528602,-1,236934,-1,-1,-1,237365,-1,-1,630976,-1,797095,-1,-1,739358,98339,972138,605323,-1,907122,419314,-1,-1,-1,659929,663967,-1,-1,-1,188981,544770,21035,-1,-1,861040,-1,-1,-1,149237,-1,-1,-1,-1,659686,837724,-1,-1,-1,224826,-1,809342,934692,856537,-1,-1,575225,838828,168520,-1,-1,-1,990200,-1,-1,888118,-1,-1,-1,348245,-1,733122,-1,242452,182216,566856,68940,-1,-1,-1,787573,268119,821642,745478,-1,-1,364371,542565,-1,-1,131370,158354,-1,-1,-1,554038,-1,-1,365067,828561,534963,-1,-1,-1,-1,118546,-1,-1,-1,-1,-1,-1,711537,-1,-1,363724,560558,718307,837697,61058,-1,-1,750955,90949,-1,86109,840676,-1,124561,-1,416583,-1,-1,-1,797266,-1,-1,-1,-1,328654,-1,408669,309596,62475,-1,-1,180001,-1,601131,229075,783516,-1,8869,231143,885905,-1,289699,-1,896919,984466,61782,587461,576584,-1,89514,-1,-1,343853,488544,674229,-1,608638,-1,57723,963429,-1,411399,658158,306834,936020,828641,-1,651434,-1,-1,-1,991351,-1,723308,686530,-1,-1,-1,-1,541662,-1,129315,645462,-1,184492,233908,-1,-1,29937,461696,-1,-1,740182,-1,-1,-1,-1,-1,435434,426927,975452,-1,373801,97581,-1,703602,-1,489520,-1,-1,691924,611215,383127,-1,-1,-1,-1,884295,279648,897434,-1,790943,741185,-1,482788,-1,-1,18817,94832,-1,-1,727755,430015,-1,9916,-1,-1,709717,-1,-1,-1,-1,-1,-1,-1,938342,-1,-1,217787,93572,893387,662234,-1,-1,-1,-1,60261,549944,-1,295503,549844,463283,461285,-1,-1,569319,-1,-1,-1,-1,93584,85744,-1,-1,-1,-1,-1,547981,-1,75933,-1,-1,565389,-1,105484,-1,-1,126133,-1,998607,-1,-1,814111,-1,687383,-1,-1,569797,189268,403325,-1,839749,-1,613979,-1,660444,576628,418518,-1,445717,508489,866688,945298,-1,413629,-1,565007,-1,-1,34174,-1,603708,-1,267466,570834,-1,-1,-1,619698,-1,316016,-1,-1,-1,115376,409800,-1,975967,377713,-1,-1,669624,-1,-1,40531,-1,323108,91426,-1,-1,-1,-1,-1,435045,-1,-1,-1,196271,-1,-1,-1,-1,-1,-1,-1,-1,450546,-1,-1,426318,536893,6265,-1,-1,434875,-1,213131,298995,71333,83651,875785,-1,39,337008,-1,-1,-1,236835,247662,-1,-1,-1,-1,-1,518703,-1,-1,476852,600724,-1,-1,145648,-1,-1,-1,604668,433649,-1,261370,-1,30346,240350,287662,565611,-1,737872,-1,-1,-1,877364,442479,-1,487451,242046,435125,513346,698499,-1,706514,-1,503102,-1,746780,-1,210325,435381,822000,598032,737759,-1,-1,-1,-1,-1,-1,-1,296852,859842,-1,254303,-1,881857,-1,70812,311751,-1,865050,516634,-1,-1,666700,788700,708039,-1,-1,-1,2199,-1,-1,-1,622992,56275,160252,239314,459820,332118,-1,852978,643069,-1,-1,-1,-1,573075,361327,97440,137766,-1,763842,-1,223078,268386,142310,673465,-1,-1,182860,-1,257002,911147,59134,210282,646149,-1,138047,-1,-1,781952,-1,428294,-1,-1,679165,423976,-1,764396,811223,-1,-1,81810,-1,475645,-1,-1,-1,516474,549308,947386,-1,-1,132973,-1,214563,-1,-1,-1,-1,537324,-1,-1,-1,-1,-1,-1,744536,-1,-1,-1,524885,206366,611818,-1,-1,-1,938815,615996,787079,-1,-1,154150,525452,-1,-1,-1,409671,27669,-1,90536,516623,-1,901889,641079,516942,752911,224106,-1,745597,-1,928708,-1,-1,-1,-1,-1,-1,-1,-1,-1,75693,821887,-1,-1,390327,-1,521556,855715,-1,919798,938552,-1,812472,346705,-1,963796,454271,90710,-1,-1,453960,807607,-1,-1,723987,319127,-1,238870,-1,632701,582416,118084,-1,-1,-1,534273,776495,20415,216095,358406,-1,42013,378437,-1,-1,-1,-1,728920,775329,-1,-1,-1,32520,-1,450358,-1,-1,-1,-1,806330,-1,862556,625785,628507,-1,625663,-1,497534,166722,-1,25921,-1,-1,-1,-1,197606,-1,311567,-1,941441,898667,314210,856944,-1,-1,599558,-1,800819,-1,391602,847835,-1,459912,-1,684096,-1,815427,42554,467814,282418,-1,-1,-1,-1,603629,-1,-1,272036,71019,-1,727627,-1,322680,237522,-1,740281,729935,69290,-1,-1,-1,413504,-1,-1,-1,209159,-1,-1,-1,-1,-1,226843,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,531174,-1,277527,87057,654296,748544,-1,97751,-1,-1,880758,74210,-1,380363,527653,-1,103341,347139,-1,-1,-1,206532,985577,-1,802083,620919,-1,331160,885999,222113,916232,480766,-1,-1,-1,370818,-1,-1,-1,-1,554305,-1,5506,-1,916421,242474,-1,833952,180304,-1,-1,-1,903471,-1,-1,-1,-1,656215,-1,-1,873013,-1,153351,-1,-1,-1,598154,502333,629314,-1,97142,-1,-1,-1,639165,18822,-1,843350,-1,513459,-1,66574,807910,-1,867461,-1,-1,878042,865517,602558,-1,-1,-1,162967,201926,630198,-1,212479,-1,-1,827499,-1,477296,844251,452464,-1,654147,-1,328956,399051,479214,-1,-1,-1,-1,-1,-1,-1,-1,433504,-1,981487,-1,-1,-1,381385,428313,-1,577346,57549,-1,-1,-1,433961,-1,-1,22259,-1,-1,-1,-1,610310,-1,551804,-1,381552,-1,555168,366320,376837,180347,-1,915681,-1,364101,100168,139805,-1,-1,117257,-1,-1,-1,-1,-1,129799,-1,650248,-1,-1,-1,903865,-1,77142,-1,63680,-1,791789,702544,-1,-1,-1,821766,669695,-1,-1,947053,-1,980375,665357,-1,-1,93107,296021,-1,-1,361371,741490,-1,-1,60700,632857,-1,608791,-1,-1,998906,777727,-1,-1,-1,-1,-1,-1,-1,-1,575928,738685,-1,294405,521996,611107,-1,-1,889677,724103,-1,-1,383126,-1,605435,352962,44829,-1,613857,328319,614829,-1,896654,-1,-1,757367,676934,212987,109771,414623,998616,568868,-1,-1,189626,824366,878236,-1,-1,592111,-1,101000,-1,-1,-1,-1,-1,566471,242858,-1,765293,-1,722259,-1,824337,-1,346009,330192,838316,822720,-1,101689,-1,296557,555951,228279,-1,462804,476263,-1,519823,688138,192854,317396,-1,823932,166734,367619,-1,224157,-1,-1,-1,-1,238841,-1,433158,336487,-1,646799,-1,-1,97348,179866,-1,-1,947507,287613,705819,832912,-1,166081,582349,-1,-1,743983,-1,-1,-1,188664,-1,-1,319317,-1,-1,108859,-1,-1,-1,-1,-1,-1,327820,-1,622253,415686,176442,-1,-1,-1,-1,-1,-1,-1,-1,26815,-1,569731,585329,697499,-1,747926,-1,847262,110759,-1,-1,117108,241404,197802,-1,-1,-1,-1,-1,-1,878117,986629,288807,459769,184766,390347,-1,164268,140359,-1,-1,-1,511864,-1,-1,-1,-1,-1,722677,-1,534738,-1,319375,-1,398678,587383,826694,-1,291492,834401,-1,948690,313391,927796,-1,-1,934218,104179,620533,520334,-1,-1,-1,-1,-1,334711,568414,-1,449552,-1,452167,-1,964381,-1,-1,-1,-1,-1,322066,958752,404024,-1,-1,659413,-1,-1,-1,-1,208453,-1,338811,-1,-1,250718,-1,419783,10424,-1,-1,-1,990454,-1,422477,-1,-1,-1,272491,-1,-1,-1,-1,-1,164698,441968,-1,762094,-1,-1,644479,-1,665866,787333,-1,462400,-1,-1,452428,455260,-1,-1,-1,-1,78726,114955,345171,-1,-1,674340,163112,966425,362291,-1,692815,-1,356458,610257,519970,816428,454514,679696,197076,755306,-1,-1,-1,232019,19369,987703,-1,772942,683533,523756,750478,-1,-1,31881,-1,-1,-1,165712,-1,952087,666277,542380,-1,-1,505459,-1,-1,-1,-1,71441,333878,-1,852526,523851,423948,-1,-1,826185,-1,118287,-1,48459,-1,250238,-1,-1,926128,824754,942351,811609,-1,667770,665587,836696,580040,445235,935034,-1,-1,-1,911545,340186,-1,-1,191489,939081,457347,987215,511805,-1,974413,-1,-1,-1,965459,-1,105888,-1,-1,493723,-1,255767,418656,-1,-1,-1,-1,545403,-1,-1,887680,-1,-1,-1,-1,-1,260245,-1,-1,827456,-1,-1,467154,-1,583153,909706,803993,-1,-1,-1,-1,-1,-1,321507,-1,504327,-1,235408,-1,560039,288218,277999,-1,791013,-1,-1,532543,-1,565393,61704,-1,-1,-1,951185,136855,114155,318764,418201,-1,-1,613606,879639,201139,766159,436528,-1,-1,945899,497921,924858,939287,577062,-1,-1,-1,860740,273917,-1,-1,-1,524773,976740,871798,57460,-1,-1,415927,-1,-1,931460,521212,-1,127692,-1,943355,394758,-1,169999,183168,-1,504838,921437,380193,711228,473484,-1,511999,-1,-1,-1,-1,-1,-1,-1,-1,535875,-1,632802,-1,394223,96855,-1,-1,126487,566243,378909,774119,118953,998052,398447,-1,-1,-1,-1,921317,-1,723934,-1,-1,797840,385898,815801,-1,394605,188023,-1,-1,577602,730716,-1,-1,635867,-1,930320,-1,759222,-1,574342,444143,409630,-1,309345,940237,-1,932860,638601,-1,855564,-1,366454,725609,-1,-1,-1,256124,373857,-1,-1,-1,306433,479255,301004,-1,-1,582382,823720,-1,-1,277604,-1,258571,463067,286092,95271,-1,808222,-1,215079,-1,-1,681307,-1,109426,454355,604406,-1,-1,-1,-1,678917,62808,-1,-1,74129,-1,-1,990903,953761,-1,-1,972059,672840,260285,-1,467933,-1,-1,-1,-1,-1,290937,371543,-1,24600,815468,912509,539399,-1,-1,-1,899719,-1,-1,608965,-1,-1,495411,-1,200702,-1,112473,-1,125333,27633,-1,140306,-1,88178,976880,-1,-1,323238,-1,821730,-1,-1,545786,-1,-1,-1,19224,-1,278301,-1,97948,507151,466507,-1,-1,-1,-1,-1,407881,107212,843309,-1,-1,789291,-1,903078,-1,-1,666259,-1,190331,-1,15356,-1,-1,628618,820322,-1,206706,-1,-1,-1,-1,-1,600581,-1,26584,-1,39658,-1,421614,822939,697836,679976,-1,312960,248393,-1,821833,813950,371139,884564,286528,-1,-1,858425,331473,-1,951768,-1,-1,-1,-1,841953,194499,-1,882120,-1,167190,792236,338351,669742,748966,108400,713211,467868,260457,781688,911805,574420,174600,-1,-1,-1,983694,959439,606207,-1,276387,-1,930835,261300,-1,-1,-1,418648,378312,872942,-1,-1,-1,139103,448490,175486,933120,-1,790989,-1,145396,789543,-1,-1,614815,678936,-1,391001,680959,364691,40718,-1,-1,-1,-1,755617,-1,-1,516325,145261,15280,-1,45935,599780,420733,-1,692910,833095,-1,686018,-1,-1,323298,8417,597025,-1,-1,-1,166564,876686,-1,-1,-1,-1,499409,894420,316616,113885,-1,826971,931833,312054,-1,-1,-1,-1,29498,-1,407551,-1,542901,759890,286306,731405,236828,719288,169501,390567,-1,968253,794149,-1,722479,-1,-1,20097,-1,235150,-1,752166,285613,-1,68606,334513,-1,-1,389999,918810,846527,787021,333680,189917,-1,-1,-1,-1,909632,-1,-1,-1,653403,871095,-1,203731,-1,983859,-1,-1,237649,434089,15191,-1,845728,906249,-1,-1,941625,731593,-1,-1,-1,-1,-1,-1,-1,141484,570846,422102,394144,-1,942286,-1,-1,889233,36290,729432,-1,917643,-1,928817,-1,919486,-1,-1,-1,846345,644553,789913,474555,551952,324182,-1,-1,-1,589999,867558,-1,564171,-1,-1,-1,-1,-1,-1,388716,828366,756273,56297,-1,-1,-1,646394,-1,223757,598605,703233,-1,307028,-1,-1,908030,-1,-1,998485,-1,140883,871018,-1,858225,502750,655264,888079,954382,-1,783974,324608,185287,-1,681977,799647,-1,151521,-1,-1,934360,544716,652044,-1,480967,813498,925867,-1,-1,216153,771546,-1,92482,264523,-1,-1,248428,-1,167427,-1,-1,-1,-1,-1,-1,-1,-1,699873,-1,840295,-1,-1,466210,315151,750957,710393,-1,207766,-1,937121,384319,143033,-1,427980,129636,-1,640847,-1,884981,-1,660218,367945,177147,468243,-1,317605,720953,13833,-1,996893,-1,841584,-1,751045,-1,158471,-1,-1,329801,-1,-1,760899,539199,-1,193944,937250,638596,-1,694090,-1,-1,775182,-1,-1,-1,-1,376495,457134,-1,563115,-1,748078,931142,-1,-1,-1,45937,-1,731244,-1,-1,238195,-1,996416,952444,-1,-1,750863,-1,-1,-1,-1,-1,-1,258463,787980,833102,770330,-1,-1,361127,-1,-1,990155,-1,-1,-1,-1,938723,-1,-1,119434,377272,906660,-1,-1,-1,-1,92544,-1,-1,636032,187485,64532,260981,-1,-1,-1,-1,-1,977038,467397,268626,396794,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,10984,-1,165330,-1,-1,887300,-1,-1,452638,430306,344387,-1,-1,-1,-1,-1,197384,53046,281932,193194,-1,-1,375764,315528,877030,-1,-1,493230,831561,397656,412769,944474,-1,306869,752493,738543,-1,-1,-1,-1,-1,510662,-1,797482,819926,401175,-1,258117,507750,361669,-1,872191,750904,41112,-1,-1,924844,302278,-1,243425,-1,688696,-1,-1,10755,-1,24293,-1,-1,-1,-1,-1,452775,-1,-1,402831,323271,-1,-1,-1,661747,-1,20877,899887,485657,682182,941288,-1,260700,845961,-1,-1,-1,420845,85501,660958,963136,567667,-1,-1,683085,990264,-1,771465,59000,-1,506825,204960,-1,-1,-1,-1,81075,283243,141685,446572,-1,-1,-1,-1,837812,-1,-1,292845,371064,-1,-1,-1,633687,18306,162210,857825,542053,-1,-1,-1,-1,203743,766114,-1,-1,190492,-1,583047,200182,346661,480029,-1,503994,989710,556790,511306,354290,-1,747520,10670,-1,478583,-1,409725,525964,-1,-1,-1,-1,995537,-1,-1,-1,-1,535941,-1,-1,-1,-1,20283,-1,-1,-1,963504,-1,326361,776426,764040,285802,918959,-1,74108,-1,-1,432965,502806,-1,-1,-1,-1,-1,-1,95564,-1,787378,515070,944907,699185,309587,-1,913118,-1,-1,476317,429,-1,734121,-1,395092,14667,-1,105336,-1,-1,-1,65148,-1,698886,-1,712482,-1,783643,-1,181883,-1,-1,413440,-1,-1,-1,591033,-1,54127,47967,-1,-1,-1,-1,146074,431910,-1,-1,244565,440329,-1,-1,92307,-1,268325,960811,-1,974397,719389,-1,993067,590386,387525,-1,-1,-1,381082,-1,-1,-1,520779,-1,979177,721588,216349,374527,-1,-1,-1,-1,353531,556955,-1,555497,649864,649673,131095,-1,-1,-1,17118,872305,-1,785818,601337,-1,701612,-1,-1,-1,860015,-1,-1,768237,-1,-1,547368,-1,-1,506661,661744,-1,780547,796540,822442,182183,-1,-1,-1,-1,-1,100299,-1,404917,-1,-1,-1,-1,-1,599204,-1,924791,209039,-1,39651,-1,116910,759089,-1,78026,-1,-1,806730,-1,-1,-1,583293,-1,460294,780201,-1,186696,-1,-1,-1,-1,-1,-1,-1,858305,-1,419392,-1,-1,-1,168654,-1,758065,401433,536587,-1,-1,-1,898281,-1,332367,-1,-1,-1,-1,-1,-1,-1,-1,-1,48203,76852,-1,-1,775023,533832,38614,696749,-1,-1,-1,-1,-1,802734,-1,-1,-1,-1,-1,951684,-1,-1,600954,63891,417192,-1,838110,304133,-1,997272,992261,-1,-1,530193,752712,939469,-1,-1,-1,111815,804176,-1,-1,-1,-1,-1,462617,774992,164956,-1,-1,-1,-1,-1,-1,576897,-1,-1,873414,-1,391838,-1,401415,393663,456759,38515,-1,-1,-1,933925,-1,-1,722647,-1,-1,158759,638429,542243,720014,-1,586636,-1,-1,676563,-1,-1,244571,542475,-1,-1,-1,793296,29321,-1,-1,-1,-1,-1,923462,-1,559572,-1,186290,456872,-1,746321,-1,-1,733383,-1,331995,142155,929431,-1,-1,111379,64459,-1,809292,852288,984969,-1,-1,501651,-1,-1,-1,250281,702671,739568,-1,-1,885925,-1,-1,139044,515518,-1,802130,-1,324803,-1,931284,-1,-1,865779,930415,901271,716967,-1,-1,-1,715632,682757,923391,481928,-1,997784,-1,-1,-1,-1,-1,-1,905328,523933,983251,574369,-1,101024,-1,-1,-1,-1,52392,515019,-1,-1,488258,-1,-1,126400,667895,-1,104328,-1,263237,-1,-1,-1,269769,-1,614392,934373,68369,448207,-1,691862,338092,-1,832947,-1,267242,-1,776865,-1,337956,-1,-1,907510,-1,-1,63422,-1,-1,-1,-1,852133,463920,926315,667876,-1,332274,964869,423551,-1,256412,90951,196234,252597,169355,167621,628921,-1,-1,-1,-1,-1,932998,445593,-1,31133,-1,814230,199306,-1,-1,418162,-1,812882,-1,307506,-1,149470,377981,-1,-1,-1,515363,611734,533896,-1,242183,-1,258474,-1,628430,28796,-1,973163,864128,-1,389001,365533,227527,565160,96931,-1,577920,508915,107048,135161,-1,124133,-1,-1,-1,880732,962290,850340,-1,785684,328092,856360,496237,648915,435258,260449,-1,-1,-1,-1,-1,-1,-1,754040,-1,-1,-1,794108,-1,127078,-1,651126,800580,-1,-1,868598,-1,-1,266765,-1,-1,-1,554383,692444,578984,-1,167518,-1,636626,2497,512189,-1,-1,-1,571645,119731,856016,-1,605502,932750,852552,-1,452900,205553,-1,-1,51670,-1,742621,-1,655231,928288,-1,935686,-1,-1,-1,-1,143279,-1,-1,-1,823439,380559,-1,264987,984643,-1,782809,-1,771677,849203,-1,443357,-1,-1,-1,-1,493612,522065,469312,-1,-1,325518,753804,-1,-1,-1,186400,-1,-1,168687,604923,845701,-1,-1,-1,-1,-1,-1,-1,28120,-1,563456,714217,-1,-1,767472,-1,-1,219330,901745,-1,-1,-1,44611,-1,-1,616462,-1,-1,638944,621459,-1,41395,698773,958869,-1,-1,-1,118847,-1,142644,876214,468737,-1,806804,-1,-1,-1,477692,326124,990827,951429,557968,-1,-1,458353,704567,-1,734553,999320,-1,-1,181861,36468,339945,572894,775033,-1,989989,-1,-1,-1,325928,443463,-1,-1,63371,-1,-1,-1,571242,475006,-1,-1,744189,175526,-1,-1,981842,860915,-1,-1,428695,-1,125029,-1,-1,638783,751439,-1,904802,-1,-1,-1,-1,75884,123421,485579,89868,125871,-1,-1,-1,833836,59172,-1,9660,-1,289918,-1,313659,-1,124016,-1,718313,24015,261374,228083,-1,233035,-1,528187,422458,-1,-1,-1,-1,294395,-1,-1,-1,-1,-1,827170,475356,-1,-1,912652,376100,-1,-1,-1,-1,271709,64959,-1,-1,536732,13713,-1,-1,432239,-1,881524,186280,-1,899783,884302,-1,527812,-1,-1,-1,877543,502181,-1,502962,189412,408378,-1,-1,-1,656777,-1,759682,-1,-1,-1,-1,-1,127779,-1,-1,-1,788797,451940,265027,996401,-1,-1,-1,922790,-1,552976,-1,-1,-1,-1,389009,574788,568082,-1,-1,950332,671987,181169,-1,190724,807293,132694,-1,-1,96775,-1,580138,768770,-1,416199,291232,514513,-1,319230,995779,-1,-1,-1,968496,309964,708458,-1,-1,496917,-1,841564,657538,-1,-1,-1,-1,152602,380439,-1,724814,-1,925157,-1,323264,-1,189542,-1,866029,-1,506319,232745,383295,767959,334219,-1,-1,385869,-1,14005,79581,-1,204086,-1,-1,297795,-1,200155,-1,208203,353552,37957,-1,440427,324265,-1,-1,-1,821942,-1,-1,-1,-1,-1,195608,399847,260783,-1,-1,184474,672741,-1,-1,-1,152171,916640,557148,-1,344299,539638,344726,-1,-1,-1,614762,219810,-1,-1,-1,722761,202027,491024,242665,858822,-1,840550,-1,691185,180529,586365,-1,-1,274648,-1,166231,-1,-1,586058,385020,312465,-1,-1,254742,-1,-1,-1,880810,-1,112370,-1,730904,398879,367747,908959,-1,957511,985367,948954,-1,113776,239264,-1,-1,-1,985528,-1,173864,685523,669674,-1,119823,-1,-1,829780,409244,358276,-1,-1,-1,-1,35996,252930,-1,-1,-1,811370,348991,-1,103783,-1,-1,145987,767187,-1,542156,118603,623870,855731,-1,569722,534948,529842,-1,245785,141699,-1,-1,-1,-1,-1,346502,909119,864334,-1,9160,-1,802989,-1,700049,464422,336291,-1,100196,403262,-1,309459,20304,451405,-1,-1,-1,-1,373139,877142,-1,785937,-1,-1,773366,-1,553266,-1,-1,-1,-1,635482,644737,414332,51410,-1,-1,-1,35837,712806,545477,-1,-1,-1,319942,-1,-1,-1,-1,-1,251872,-1,-1,-1,84885,-1,-1,539475,297829,-1,730483,-1,-1,735287,798638,290295,316765,186924,-1,-1,382571,-1,99990,-1,-1,412783,-1,-1,599633,-1,330268,456170,-1,-1,587196,285812,947413,22361,418495,883130,-1,403598,101212,-1,540769,-1,-1,989005,-1,-1,501562,843914,204679,-1,-1,779284,687390,838193,139718,-1,-1,-1,703105,-1,249835,-1,-1,841088,-1,7394,-1,169341,848787,31516,641446,380613,867190,-1,807101,-1,287908,887922,-1,-1,620256,-1,253437,-1,-1,-1,-1,316254,-1,613082,-1,-1,-1,-1,510372,387295,557121,296159,-1,-1,-1,46739,-1,-1,873266,90116,317609,793632,-1,-1,681038,-1,213470,-1,-1,966406,145856,698925,393230,662325,-1,729971,862615,-1,-1,943695,-1,-1,-1,-1,58773,752134,-1,949902,232777,-1,478627,874185,861677,-1,-1,280656,705146,537128,858859,-1,-1,-1,782473,392155,-1,-1,-1,-1,230687,572338,196667,63843,-1,500353,-1,-1,-1,-1,-1,-1,-1,-1,-1,715148,817444,116737,-1,789196,429978,948382,830575,-1,706655,-1,-1,281528,951360,-1,394197,-1,937435,-1,456579,453442,-1,984820,252093,765555,494003,525063,-1,-1,370513,-1,339108,976779,371742,185494,799291,369717,146308,903687,-1,884632,801079,243276,-1,-1,-1,517128,652859,528824,669169,193588,-1,-1,-1,332984,939521,-1,639857,123610,-1,-1,767444,360257,854507,-1,-1,-1,-1,513610,-1,818989,-1,564018,-1,779121,178107,-1,34557,315932,616748,781779,767370,-1,-1,-1,-1,148655,183188,559248,-1,396139,-1,-1,-1,-1,-1,81576,396340,916219,73834,692510,-1,343927,-1,844557,393625,404591,-1,755704,-1,307875,-1,-1,875263,-1,114103,-1,787343,967300,-1,789667,-1,972189,957751,-1,164261,966921,-1,627964,625519,456704,-1,976576,-1,-1,-1,-1,-1,585499,-1,236849,-1,-1,-1,-1,141401,922378,-1,116391,-1,361524,563817,-1,294467,92663,809914,227563,587826,295031,183440,-1,180765,933729,454198,-1,430663,-1,-1,230472,-1,269002,104717,809771,823370,618284,-1,606448,686676,-1,812898,-1,341131,221236,-1,-1,-1,-1,-1,-1,565671,186762,321802,469874,-1,-1,469734,134498,-1,-1,42992,-1,-1,-1,-1,-1,-1,-1,797593,-1,839090,-1,-1,226617,-1,-1,382283,189216,-1,-1,943763,-1,713288,520906,-1,176169,-1,230297,-1,-1,129857,606490,-1,-1,338521,-1,-1,-1,-1,166396,566596,758185,581644,375580,-1,-1,296467,630286,720448,607823,-1,-1,576686,-1,-1,433362,-1,-1,993847,624154,-1,645272,556977,949834,992530,39953,30792,508089,741647,-1,967731,-1,-1,693638,-1,-1,334396,-1,890198,-1,586842,-1,389356,-1,-1,93633,-1,-1,963334,139259,857167,-1,131985,-1,613415,-1,-1,-1,281373,-1,-1,-1,-1,97690,170914,597122,-1,-1,-1,34974,-1,-1,511031,-1,-1,555620,-1,-1,-1,-1,-1,-1,-1,-1,147169,-1,628300,-1,739844,374838,840906,-1,-1,-1,-1,818631,-1,-1,560882,184424,283271,-1,-1,470216,239116,-1,-1,611415,488545,-1,58222,-1,514422,676389,-1,-1,-1,-1,-1,378989,332560,702312,490562,759887,-1,361604,721499,-1,296307,226669,584954,-1,768915,322843,-1,578543,311850,-1,442210,-1,290099,-1,681356,573880,-1,493147,636678,-1,460456,703545,-1,475129,-1,-1,755813,-1,-1,971090,-1,-1,-1,-1,486742,-1,-1,-1,-1,-1,35376,-1,-1,59155,-1,-1,710208,-1,-1,-1,-1,-1,33058,813591,830237,56028,-1,-1,184986,-1,-1,-1,356661,142232,756332,-1,897947,983787,-1,-1,-1,-1,-1,-1,989628,-1,926446,-1,-1,-1,530838,-1,-1,-1,500573,83121,676977,-1,396554,644505,183535,-1,920112,-1,-1,-1,-1,85231,763475,-1,106986,-1,696748,426373,-1,143018,-1,748453,256729,792353,143268,-1,472180,-1,915227,-1,-1,-1,-1,115401,741717,-1,742105,-1,422471,567275,-1,589524,-1,99765,66429,594933,958697,307217,404450,416427,373632,656342,-1,-1,-1,-1,792305,-1,-1,-1,386247,474998,736399,-1,-1,50718,78569,693301,221062,-1,931913,-1,-1,412905,272824,-1,542139,350789,5878,-1,618575,-1,551343,829231,-1,113478,129742,-1,910184,22109,648978,452991,685281,477248,-1,138505,28144,829535,451238,-1,643876,-1,163594,-1,-1,-1,790615,-1,-1,735189,-1,65594,736678,995196,-1,-1,286002,-1,-1,677781,-1,819490,362428,839091,375361,867904,-1,71270,-1,729699,-1,-1,446474,528577,638644,143733,-1,39897,717224,688232,-1,-1,626312,-1,416744,80657,454701,708228,498210,-1,951418,-1,746713,-1,-1,200706,10470,-1,556780,-1,-1,616321,636740,80773,363266,-1,41650,-1,712937,92409,389210,-1,948317,-1,653786,707,-1,-1,402767,-1,527206,-1,-1,661977,-1,-1,437145,141506,-1,-1,280513,55762,624992,-1,457900,835945,640146,-1,-1,-1,-1,725249,999708,-1,-1,181598,939917,934267,-1,71138,-1,-1,-1,663234,-1,305224,-1,-1,-1,-1,-1,572966,-1,-1,-1,391342,822343,839013,592174,-1,519444,848648,-1,-1,-1,-1,554931,548577,901015,-1,268996,178155,-1,-1,184268,-1,-1,-1,395942,82053,-1,460140,195736,-1,247951,-1,348383,-1,-1,122086,570176,-1,526422,-1,-1,874669,946941,-1,-1,-1,-1,-1,-1,-1,290978,601561,-1,-1,-1,144391,834257,81142,967050,-1,472155,960508,-1,-1,-1,133538,73311,211398,305308,781691,-1,-1,-1,-1,-1,-1,686551,-1,748793,-1,-1,143939,-1,-1,214423,361929,-1,863831,237953,626341,376457,727578,-1,600460,-1,981395,-1,-1,-1,172896,-1,28312,116895,-1,547321,-1,106246,774024,126881,329568,81860,-1,748379,987365,-1,-1,-1,730931,-1,-1,539001,-1,543299,-1,-1,806251,704392,-1,-1,-1,-1,-1,922712,840465,-1,904097,-1,63163,705510,-1,525085,-1,535488,-1,-1,-1,-1,999022,838413,-1,336530,-1,567778,947755,700423,369903,390727,757774,440103,201493,-1,50074,821449,182916,-1,-1,-1,891291,-1,170826,-1,-1,393010,670422,852339,331028,495119,57541,-1,91856,699270,319847,443173,-1,368340,-1,883926,792627,-1,-1,822180,-1,-1,-1,179189,913555,219616,552755,7118,493279,-1,-1,915731,-1,-1,231993,105367,-1,316149,991850,-1,262219,-1,-1,-1,-1,-1,-1,-1,212721,-1,937827,8874,207313,-1,-1,-1,-1,447148,-1,-1,-1,983204,28932,-1,49732,-1,-1,172961,-1,267782,-1,-1,692479,-1,676968,974401,850063,-1,248766,-1,731647,80423,-1,749787,894364,-1,-1,25886,-1,-1,246193,-1,593435,906651,571922,394927,-1,650927,466325,-1,-1,251033,869420,855551,293528,38313,449544,2595,130314,259571,-1,-1,-1,-1,-1,-1,-1,-1,60239,508173,503330,173183,-1,175955,-1,-1,-1,-1,858237,-1,-1,451193,658769,-1,-1,-1,326099,263823,633182,-1,-1,116334,-1,721978,613180,486331,-1,-1,-1,214043,223713,-1,474355,735807,-1,482021,-1,271588,837114,-1,801766,444623,-1,-1,185022,-1,747216,209647,-1,601456,-1,-1,-1,-1,168603,-1,164842,492666,-1,918674,275042,-1,205138,-1,875523,891849,453758,-1,839171,851883,-1,379302,-1,-1,-1,392419,-1,295116,751053,-1,900732,832196,533413,240732,496605,30123,-1,960880,-1,-1,-1,939165,-1,-1,119748,-1,-1,536142,621077,-1,652352,-1,-1,-1,-1,43594,-1,131818,212066,-1,-1,-1,-1,917596,977200,891815,10461,-1,96896,362210,152058,812729,-1,67624,744823,-1,-1,290294,541488,522485,-1,642490,994746,468777,983580,-1,-1,732140,14994,-1,962674,-1,-1,-1,-1,-1,667183,467880,415229,507963,-1,50896,-1,472095,704254,725743,-1,-1,-1,442774,170402,-1,128773,-1,-1,608010,631891,675394,139213,-1,-1,-1,537989,-1,-1,-1,853608,-1,-1,437074,-1,-1,693567,513739,556963,-1,-1,803132,111735,-1,873358,358656,-1,-1,216446,44441,-1,-1,-1,-1,18981,834717,320117,259438,-1,-1,717562,361631,-1,-1,736201,843368,545828,651955,504282,292839,-1,202730,85599,-1,760337,-1,16602,445414,-1,523421,492932,119552,238901,-1,-1,206457,-1,401164,110191,-1,-1,30820,-1,731290,14715,660628,-1,-1,-1,-1,299930,870094,-1,-1,853999,-1,901649,542938,-1,-1,-1,-1,-1,-1,-1,575891,-1,-1,-1,-1,539053,-1,-1,442404,76496,840980,143796,-1,52302,659336,-1,806577,-1,330989,805227,578353,343499,675133,-1,-1,628156,391339,789145,569579,819642,668422,183806,918681,500608,807615,264350,894711,231657,957940,-1,335375,561139,-1,295755,890384,515255,-1,-1,848419,-1,143810,358552,991120,938746,307500,-1,267374,499539,-1,-1,5260,-1,-1,-1,633103,646073,225516,743975,-1,517689,147168,881653,-1,247610,371957,15496,-1,-1,769099,990423,-1,-1,-1,876123,580708,-1,-1,-1,-1,-1,-1,873480,-1,696014,214947,585434,-1,440102,-1,-1,-1,525107,-1,-1,537133,-1,-1,-1,-1,-1,255692,-1,-1,48995,-1,570780,-1,289767,833853,-1,-1,-1,112989,-1,222949,441757,-1,551061,616110,-1,632892,-1,-1,-1,224414,238579,-1,-1,968758,-1,-1,870523,833541,654417,-1,456409,-1,119871,858358,610490,-1,25702,-1,-1,284559,268979,-1,34583,620328,957205,810244,-1,978953,604659,795386,-1,767430,869705,-1,-1,244888,648120,973863,-1,-1,-1,455271,232857,-1,-1,441789,-1,-1,791661,-1,272890,-1,607688,172586,64081,-1,-1,722972,-1,-1,938351,-1,513095,92567,951057,679982,799175,-1,688802,-1,109692,784182,522647,-1,-1,-1,944289,507960,848610,651005,-1,-1,-1,-1,-1,-1,104667,677162,-1,-1,-1,170289,-1,71967,430763,255558,-1,554321,67915,865207,-1,-1,-1,61893,175146,-1,276759,553025,908679,917677,-1,-1,-1,-1,470786,775669,-1,813942,-1,771326,-1,312267,-1,-1,37056,419435,223719,-1,887147,-1,-1,-1,949953,-1,343296,72940,-1,-1,-1,-1,176291,899879,685714,853162,552980,-1,3380,898576,169775,-1,-1,-1,399037,-1,956239,258513,-1,-1,182602,123314,-1,-1,-1,-1,-1,402706,-1,-1,987219,-1,-1,943281,687482,844553,887456,242318,-1,-1,930845,-1,-1,36,-1,898480,366340,170467,-1,-1,830790,516203,-1,192745,875558,378002,-1,112865,-1,-1,-1,-1,305718,288372,751735,74954,554373,-1,-1,-1,-1,193355,372289,-1,-1,-1,481013,646389,846476,315716,-1,-1,-1,-1,88758,-1,886931,459489,-1,526435,-1,476338,-1,-1,-1,687024,826349,767811,212683,506035,-1,-1,-1,960645,64866,-1,-1,56375,362500,684052,988387,-1,-1,-1,996512,573783,-1,-1,-1,172332,683540,781230,109174,-1,-1,822924,706201,-1,-1,749624,267104,-1,-1,-1,-1,-1,-1,510285,816573,626174,882256,-1,-1,911622,854974,-1,-1,279541,-1,30976,365598,-1,848140,-1,-1,580894,546620,-1,-1,-1,-1,-1,-1,270327,919120,-1,-1,-1,-1,608456,179771,-1,-1,-1,365840,798430,6530,489245,-1,-1,-1,-1,-1,220835,-1,845704,-1,-1,-1,754481,627749,419637,882192,-1,-1,353017,-1,-1,-1,884026,15854,998574,821139,-1,275340,437648,-1,912538,-1,47664,39493,336885,700173,-1,105309,-1,-1,-1,-1,-1,-1,135762,-1,272215,-1,-1,-1,392611,-1,908355,44179,571742,573149,-1,-1,-1,524167,121530,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,641911,884266,-1,588922,-1,147399,-1,-1,-1,898313,-1,95847,-1,639777,300306,-1,288416,-1,480915,-1,514914,-1,-1,-1,-1,-1,808654,920295,279330,-1,-1,-1,327132,770921,125677,637036,-1,613116,-1,124370,-1,876374,182499,-1,-1,-1,483815,-1,-1,-1,-1,543146,-1,962705,382773,-1,-1,-1,493961,918603,-1,734916,-1,-1,751753,-1,-1,409903,440449,649641,-1,998778,-1,688910,931984,306576,-1,781374,-1,826031,-1,829553,177536,-1,161253,-1,-1,91929,760819,-1,-1,630873,654621,-1,-1,735230,-1,-1,-1,501860,-1,709256,-1,186628,-1,-1,-1,-1,-1,169533,560992,-1,849619,-1,775403,584910,47193,-1,980878,-1,-1,-1,273402,136553,148925,-1,494977,936006,258920,425339,281284,82588,198410,612383,868579,-1,582981,-1,973274,283459,657879,174103,-1,-1,-1,-1,-1,-1,-1,-1,-1,874148,-1,-1,417957,356835,349959,-1,-1,192757,-1,544373,294358,-1,-1,-1,-1,363953,-1,107227,247901,95811,-1,569896,-1,645518,-1,-1,-1,302567,173346,209121,-1,401062,98803,-1,943436,-1,-1,-1,302326,-1,27816,646686,186559,-1,794701,12760,453376,470722,-1,-1,916397,620482,283739,66747,333824,-1,802500,-1,-1,568116,-1,71957,-1,519599,-1,936283,-1,62491,-1,-1,340732,-1,-1,906513,-1,898041,669145,-1,862876,353201,-1,-1,87028,-1,548486,251045,-1,82350,830577,-1,-1,866902,348896,-1,-1,881272,904150,-1,633355,-1,-1,686217,-1,-1,-1,-1,497737,-1,-1,343339,266669,584475,-1,-1,-1,-1,-1,-1,-1,-1,73370,917686,443629,-1,-1,740685,773855,-1,886674,84447,401813,-1,69699,953707,407701,882519,163210,457323,843998,64529,-1,523289,383849,-1,782449,-1,-1,898580,-1,379601,-1,-1,-1,430191,-1,-1,967348,-1,-1,429237,646186,-1,-1,-1,-1,629799,-1,-1,795929,-1,352588,-1,92553,-1,807923,-1,-1,12997,-1,42504,70814,-1,-1,395699,-1,-1,-1,-1,220150,-1,-1,677152,385715,512114,-1,-1,-1,-1,-1,-1,93800,264625,-1,-1,-1,685039,-1,-1,23001,-1,-1,-1,-1,-1,925149,461401,7304,207245,80471,-1,631367,653740,507622,839647,71953,-1,357893,-1,-1,418737,-1,564320,-1,-1,-1,-1,-1,97271,-1,507483,504987,386840,753292,723089,180082,-1,583803,-1,109451,-1,639810,-1,-1,55693,409700,-1,648774,-1,-1,-1,941162,-1,-1,840917,-1,-1,-1,319168,211963,-1,-1,-1,-1,384952,-1,380450,39609,94751,471152,913066,-1,-1,-1,360745,-1,9764,-1,-1,371702,-1,509299,388990,-1,-1,167304,-1,-1,-1,-1,-1,466437,-1,-1,-1,471029,888489,695830,-1,-1,-1,833527,259230,283220,-1,-1,341002,747219,206714,608192,605344,-1,-1,579948,-1,453798,706078,-1,-1,-1,661196,375137,322550,-1,-1,293933,-1,604515,-1,454888,-1,967004,-1,362016,-1,-1,715550,-1,-1,-1,-1,792735,-1,-1,-1,883481,217587,364613,-1,-1,-1,347409,-1,172791,9013,-1,308622,897480,211639,-1,-1,556129,-1,-1,-1,-1,-1,-1,681073,-1,-1,143223,-1,-1,-1,77464,-1,848279,266523,443807,670908,207570,-1,-1,-1,-1,810698,-1,-1,-1,-1,150984,591519,865997,-1,-1,-1,598227,-1,-1,405110,-1,880897,564488,-1,-1,292379,982758,-1,957014,554478,619586,-1,-1,-1,859715,789026,277242,334822,-1,846863,560624,784697,817468,556347,369905,-1,338560,-1,546494,-1,-1,148285,-1,908530,-1,-1,-1,135496,470814,-1,235458,-1,-1,61685,-1,141297,-1,198339,815351,634465,485307,592422,-1,-1,-1,-1,216717,-1,-1,126072,-1,-1,-1,372862,-1,-1,163820,-1,360434,-1,554056,-1,470622,-1,258884,957594,522087,-1,855326,-1,-1,296452,-1,28927,549022,226418,-1,-1,-1,928323,-1,-1,122792,-1,47279,302497,911884,-1,795749,-1,-1,-1,913531,-1,801808,-1,-1,-1,114677,-1,-1,-1,-1,752365,-1,-1,357590,-1,-1,-1,969368,825205,750993,631674,-1,-1,-1,436135,125434,-1,-1,-1,-1,980860,-1,-1,751269,318378,84221,856383,51105,-1,91103,-1,773881,718894,-1,215629,575110,-1,356529,-1,-1,-1,-1,248100,-1,-1,-1,-1,-1,213586,-1,-1,-1,459248,438323,-1,577735,995558,429639,-1,-1,-1,769070,-1,-1,-1,-1,-1,2504,-1,-1,-1,540814,848640,-1,-1,962851,-1,209433,965030,-1,-1,-1,-1,982343,527730,33360,763559,831728,-1,-1,-1,567298,-1,-1,-1,-1,-1,-1,-1,-1,981601,595278,533136,814611,-1,-1,-1,-1,-1,-1,918084,335710,-1,-1,-1,592826,-1,643326,314934,-1,547557,-1,766518,483395,388925,-1,992468,-1,-1,543197,-1,902664,717377,248238,632373,-1,-1,-1,173327,695009,696057,527879,-1,325174,305735,997776,973569,-1,29116,-1,516630,-1,-1,-1,-1,784326,811651,-1,-1,-1,-1,-1,-1,-1,815419,751434,-1,648881,-1,-1,-1,660861,-1,614956,59805,-1,1325,683003,-1,344206,402917,970619,-1,-1,-1,254187,373491,-1,-1,45690,-1,-1,-1,-1,-1,-1,605925,-1,661503,436349,-1,-1,-1,496785,480658,-1,-1,923979,548378,-1,-1,943528,-1,-1,126934,-1,-1,406215,631990,-1,338250,421503,-1,-1,655778,-1,589286,174245,318987,974724,686066,-1,80669,-1,647724,415203,-1,455653,-1,709644,6860,-1,-1,-1,-1,44666,249435,-1,656597,-1,-1,820838,915642,326215,439967,779696,-1,-1,-1,-1,983245,849796,-1,36953,-1,-1,-1,981755,-1,183024,96796,823856,129247,-1,-1,571039,341142,177325,509643,606920,-1,462027,133775,755855,458457,600413,-1,568800,773124,187910,-1,209676,248075,693798,-1,-1,660434,896310,-1,-1,-1,689165,39742,-1,78323,-1,802784,280006,-1,901453,699622,87839,-1,-1,959554,-1,532546,-1,-1,285603,479996,-1,-1,518299,-1,-1,503093,-1,443945,750176,-1,-1,974765,531561,-1,-1,816290,-1,-1,452252,140427,654823,-1,-1,-1,609513,949318,713246,-1,716394,-1,882393,-1,-1,287164,-1,-1,-1,231236,748185,126696,-1,-1,-1,-1,-1,-1,348140,365326,486180,636015,-1,-1,186946,290529,-1,-1,981949,614645,-1,-1,-1,-1,-1,603368,-1,375898,762504,-1,-1,975082,860271,-1,47063,173049,-1,340923,-1,-1,602788,-1,69035,-1,55982,820652,-1,-1,661310,-1,-1,575840,-1,896059,-1,317963,-1,740253,-1,-1,309239,-1,-1,-1,-1,-1,545761,551906,-1,-1,-1,97952,-1,-1,161195,458229,68668,612542,251671,-1,932505,-1,959328,-1,-1,-1,-1,261159,507279,-1,977114,-1,-1,-1,445531,978406,-1,-1,601946,-1,-1,-1,414661,678705,-1,670472,616085,844774,73538,-1,407013,-1,-1,721332,716913,-1,590227,793645,-1,-1,-1,-1,86768,85364,-1,-1,732840,-1,590886,-1,-1,166708,484635,441236,-1,-1,-1,722734,-1,628378,-1,-1,-1,-1,462996,413286,961230,-1,-1,951457,348003,929879,-1,-1,-1,72367,155127,232541,-1,906803,114816,-1,198754,-1,983554,-1,-1,-1,-1,-1,-1,206077,-1,281260,470083,-1,723538,253081,-1,339647,-1,671184,-1,-1,589015,927527,924929,415601,-1,-1,-1,-1,136731,640093,944928,130882,310879,553124,-1,793254,-1,837995,716496,-1,80140,819351,-1,484460,-1,851997,387218,971252,383223,-1,467735,581067,217392,-1,551564,-1,-1,301332,-1,855358,266624,483400,-1,413516,902087,176460,-1,168061,218726,491321,502764,-1,687528,48617,313041,879908,-1,898978,-1,-1,321195,840284,105534,208342,604293,-1,-1,413620,701764,-1,-1,212167,-1,-1,-1,-1,428428,788733,379387,-1,-1,258921,-1,-1,60070,88313,263767,-1,-1,-1,462558,412505,651366,93847,-1,283826,-1,463334,513066,-1,-1,887607,280423,737051,153732,21631,-1,540494,-1,240529,-1,7065,-1,-1,-1,-1,261478,-1,-1,156762,-1,-1,636864,234900,810998,655011,251271,731734,176111,986771,333683,217694,148057,-1,272523,-1,152103,844411,84025,314754,710882,384289,918262,-1,-1,-1,-1,-1,183615,-1,226829,-1,479469,-1,-1,331794,402000,948331,381088,436148,390275,407456,-1,832952,503827,-1,-1,168154,-1,867360,124506,311573,-1,-1,-1,820658,-1,40581,96043,632982,275381,-1,322826,-1,-1,23918,-1,-1,676939,-1,516578,-1,942386,-1,-1,627221,-1,721829,352687,-1,-1,-1,-1,163877,380872,538424,122471,410333,264482,860978,-1,856727,127899,-1,-1,-1,-1,-1,-1,986490,299957,-1,-1,-1,617015,234189,-1,869747,236174,-1,386650,-1,383891,-1,-1,59844,910137,428297,133474,840586,-1,33727,-1,78189,-1,-1,909911,-1,-1,696130,-1,-1,-1,729560,940329,464045,-1,430841,-1,-1,493595,887884,395041,308880,479425,562085,-1,653582,621990,193838,674367,-1,113750,993256,669635,971739,869176,-1,343052,866106,-1,875714,252421,-1,-1,489863,516960,-1,-1,-1,-1,588154,225340,694347,-1,893751,-1,272218,216075,-1,565298,935569,-1,27072,-1,885817,259304,-1,-1,296153,-1,-1,814223,860590,-1,-1,544726,-1,-1,958397,785805,111124,565852,209903,261722,-1,683698,-1,824942,678874,-1,531284,627122,497465,-1,-1,-1,-1,-1,-1,165894,-1,652792,14932,882835,423763,-1,-1,-1,653552,-1,-1,-1,798582,-1,-1,-1,838669,673802,89613,907731,-1,-1,199773,852419,132424,355507,37574,961074,-1,755445,-1,-1,168140,-1,135998,-1,842798,5144,-1,-1,938513,-1,-1,-1,-1,779102,-1,-1,-1,-1,-1,291589,665034,-1,682996,-1,-1,-1,382183,934951,-1,-1,617522,-1,-1,728488,318519,886349,-1,999196,221017,-1,480051,247126,-1,-1,-1,-1,-1,802346,-1,218852,769854,-1,90704,28832,-1,-1,-1,-1,-1,112281,-1,-1,-1,643076,-1,946917,172113,-1,-1,950942,-1,-1,752131,707504,333419,764551,-1,-1,338128,860449,35222,899060,-1,-1,-1,-1,665903,69787,622674,206033,-1,209346,-1,109849,-1,-1,895790,482832,942315,723870,67181,835180,488080,106895,357014,-1,-1,881333,-1,-1,-1,-1,-1,-1,953736,92555,778857,287726,48387,148104,811805,811642,-1,-1,-1,264191,-1,804652,94507,-1,621370,794955,288272,-1,-1,991005,-1,723360,808038,686219,-1,205111,130386,411213,-1,-1,1164,-1,432530,843608,744091,70471,-1,-1,64956,-1,161503,-1,644129,489158,879051,387212,717527,375534,505642,594684,174409,-1,-1,-1,-1,-1,-1,-1,-1,879812,406214,372605,-1,279101,-1,16330,-1,18845,210808,-1,754505,377020,-1,186653,-1,247408,-1,603203,-1,105361,-1,704066,-1,-1,-1,-1,-1,-1,456158,355756,-1,669920,966551,-1,852965,998455,210013,-1,-1,-1,-1,-1,-1,945283,-1,-1,-1,-1,-1,815439,325623,563428,751733,-1,743248,-1,-1,-1,303995,-1,791308,-1,85483,350138,616880,324093,917200,-1,567799,-1,446396,64602,-1,308999,380604,166941,-1,316671,120231,163748,184370,686527,-1,-1,-1,-1,-1,-1,-1,652505,-1,-1,721432,543694,953168,-1,211948,-1,-1,-1,-1,-1,788645,-1,-1,64545,-1,809910,-1,584641,376889,997574,880912,199034,-1,129614,32968,-1,-1,-1,161017,262203,-1,365432,-1,278958,-1,193968,723314,236017,-1,534521,-1,914189,-1,-1,301432,-1,-1,108013,-1,424758,-1,397766,352631,-1,-1,11290,587656,489466,-1,548661,100699,-1,211494,317591,100250,604853,516150,-1,-1,681335,-1,753573,-1,-1,657495,934377,634645,-1,-1,982766,291336,-1,-1,-1,377286,-1,-1,176205,828690,-1,365280,-1,430608,594582,-1,335033,-1,651781,-1,851702,392459,-1,-1,14282,-1,-1,-1,-1,-1,-1,859302,-1,981454,-1,320521,-1,646344,583148,766058,17092,245155,461443,842294,766155,897231,-1,951116,833084,-1,673437,-1,172039,-1,888146,865412,-1,-1,219918,-1,367798,-1,-1,904149,311945,884581,260781,823337,-1,-1,887347,777433,536529,681237,-1,690419,411234,575968,-1,-1,-1,374831,391793,-1,190164,-1,-1,-1,-1,196661,-1,-1,374892,683958,550075,-1,-1,-1,-1,-1,-1,-1,739366,-1,215522,-1,-1,371401,849811,-1,148776,695393,-1,224303,-1,491992,-1,133934,309427,583557,-1,-1,-1,-1,3015,783733,-1,727802,295482,439397,-1,-1,424530,-1,-1,615508,-1,-1,45851,534976,-1,529743,-1,36171,-1,-1,-1,-1,-1,-1,-1,-1,602489,749609,-1,-1,711269,101324,-1,-1,-1,-1,-1,747609,922683,-1,853340,353010,-1,72164,551222,883988,896885,-1,513359,-1,-1,377894,143544,-1,-1,-1,-1,-1,-1,-1,-1,568396,-1,745884,257915,646330,-1,-1,449882,412887,-1,-1,971827,-1,182458,-1,-1,152679,544060,-1,106923,106762,597178,-1,287645,-1,-1,829297,-1,468085,-1,808422,-1,-1,979243,576795,-1,-1,-1,-1,859008,978665,-1,212159,763936,-1,430043,-1,-1,938307,266009,776713,-1,729698,-1,36558,788327,724864,-1,-1,-1,290914,635964,681349,249603,598186,357939,-1,112815,-1,-1,360365,509417,235809,-1,-1,-1,359703,88146,-1,-1,-1,-1,92366,852739,-1,-1,894544,-1,-1,192363,-1,259984,934679,-1,-1,-1,850979,-1,547573,-1,-1,-1,-1,677657,-1,-1,46975,570768,-1,-1,-1,38323,835760,839742,354289,-1,-1,982784,661444,-1,-1,-1,-1,382432,241371,809045,-1,-1,330400,859253,-1,-1,-1,-1,376917,-1,649285,-1,-1,-1,739845,-1,245396,-1,368228,-1,668291,-1,125793,-1,820743,-1,832393,296914,47659,-1,664288,-1,-1,-1,957078,30127,32966,-1,378300,-1,-1,51752,-1,-1,12998,283316,-1,853385,867393,653270,-1,593660,748834,-1,266341,400356,469919,928155,-1,151930,-1,605710,-1,456229,828834,214383,977301,473216,725210,226707,935544,741216,988372,-1,-1,-1,377051,-1,-1,-1,-1,130460,296403,-1,236339,-1,639343,606983,-1,785264,314314,538036,-1,556319,839502,505362,671308,142728,-1,67717,451234,-1,-1,355501,986246,994132,-1,881616,870066,-1,917217,-1,304231,305668,-1,466250,48633,903420,-1,-1,-1,-1,-1,-1,816445,372384,77634,48629,-1,-1,-1,758627,-1,-1,-1,833098,-1,-1,-1,-1,448429,-1,59964,750002,51431,-1,-1,-1,680549,653144,-1,44163,906817,891768,-1,340447,-1,-1,-1,-1,-1,21384,-1,909367,-1,-1,505566,-1,217853,242804,-1,-1,-1,-1,764652,-1,297960,401420,792977,-1,427059,-1,-1,42018,99459,676162,-1,950611,826648,890484,724207,-1,-1,170550,-1,405541,924678,-1,-1,171484,-1,-1,-1,855457,-1,-1,-1,-1,-1,477906,865023,427633,-1,118116,520953,-1,591491,874510,-1,623272,49919,693037,-1,223240,399984,-1,-1,441952,-1,212985,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,667094,-1,996472,363648,733576,534617,-1,814089,106861,895129,-1,594175,234926,-1,378719,-1,830969,39642,301660,-1,289138,264864,747112,-1,975133,710682,-1,-1,-1,580604,-1,-1,-1,331221,-1,165769,977388,-1,912741,772975,-1,700418,37226,836776,-1,-1,709502,614323,508444,932077,-1,-1,554563,-1,-1,445145,-1,356244,874968,98316,-1,-1,-1,-1,537049,-1,344617,-1,434267,-1,706922,-1,-1,-1,-1,785327,364870,-1,497474,378417,941385,445984,-1,-1,-1,15816,-1,255156,-1,-1,-1,-1,306100,-1,289561,-1,651233,580063,264857,285032,821024,-1,-1,-1,300118,348971,283054,-1,-1,-1,-1,521558,711074,770777,-1,5236,-1,-1,44668,916703,385129,-1,655950,327033,112164,-1,-1,-1,-1,-1,726038,-1,-1,-1,-1,469117,808071,144826,704259,69444,905289,-1,-1,-1,-1,-1,306419,-1,-1,139854,-1,939144,693655,-1,-1,377531,-1,-1,563011,396091,-1,-1,130793,711775,98033,-1,893517,845432,-1,943838,643989,-1,160325,399681,496539,-1,-1,-1,398173,-1,815293,99690,-1,258429,817573,-1,-1,718153,874648,-1,-1,-1,109581,361310,674981,-1,-1,-1,532459,177764,-1,-1,261386,79069,-1,-1,766786,-1,-1,-1,962679,-1,845369,-1,492662,409555,-1,-1,-1,733861,-1,-1,849252,821056,73478,-1,-1,951014,-1,-1,-1,567789,-1,-1,-1,927100,894374,-1,-1,478535,603503,271306,-1,-1,868301,-1,-1,-1,-1,-1,-1,825606,-1,622269,-1,160374,101419,567160,-1,-1,803729,-1,759930,-1,-1,-1,-1,218006,-1,580703,-1,589403,-1,130632,-1,285563,-1,-1,-1,218632,481484,267521,-1,-1,609692,948586,953644,190619,-1,220216,-1,-1,592948,-1,-1,804549,-1,-1,-1,381862,667547,147287,-1,-1,69679,-1,165490,-1,350283,428772,-1,546731,712782,-1,-1,-1,-1,-1,764059,110472,827434,-1,889015,422217,243360,132203,825310,771783,892217,445959,93410,537370,-1,-1,-1,-1,-1,165719,758224,-1,368855,-1,469712,-1,-1,609710,-1,987399,705466,-1,-1,427322,397959,-1,621722,410127,-1,2395,764439,49135,-1,984859,-1,591088,288034,354565,185736,487270,651622,643741,-1,-1,246371,957371,-1,892672,594061,-1,-1,893415,-1,974347,289483,-1,279889,877825,216672,-1,900207,-1,-1,-1,321608,-1,731125,173218,408481,462270,-1,260472,237783,983551,567185,345340,630950,-1,-1,-1,-1,559147,596375,989851,-1,561544,226005,-1,-1,-1,201376,-1,350414,306737,-1,705179,657927,462690,-1,392329,-1,293614,-1,163860,496340,-1,596482,-1,-1,704805,105408,-1,-1,-1,-1,-1,216068,-1,423914,264092,602611,710433,-1,-1,-1,-1,-1,-1,-1,-1,908838,-1,562793,692021,-1,-1,-1,-1,-1,756614,715353,275867,626340,299149,76652,-1,380764,121507,880578,-1,-1,523326,560201,160698,-1,-1,-1,-1,-1,564131,-1,-1,552282,-1,-1,-1,572466,-1,-1,-1,859082,-1,-1,115591,80454,-1,277368,405394,913403,467286,-1,-1,868502,46391,-1,294255,-1,522695,749513,-1,-1,393061,-1,-1,-1,645807,489221,-1,151016,944996,-1,474387,304279,-1,-1,-1,949185,-1,-1,163102,-1,-1,57964,-1,724544,113716,645487,891605,385877,908710,-1,-1,-1,-1,663256,838075,399607,-1,754025,95603,87516,406412,-1,2514,971242,556344,634671,-1,-1,154174,-1,630095,-1,-1,-1,749827,968635,53139,751451,-1,-1,-1,594057,-1,-1,-1,821738,-1,168247,-1,-1,248802,366426,-1,-1,110658,-1,123358,-1,351744,-1,-1,-1,846213,754641,-1,25957,676832,-1,880090,935722,-1,-1,708843,-1,-1,953938,-1,-1,864079,45139,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,460961,297202,-1,484969,-1,-1,-1,844775,971982,-1,264685,-1,233556,424963,69653,-1,-1,985386,971573,945259,-1,-1,992873,397066,-1,699170,-1,961868,986728,260559,230913,-1,574868,668668,838868,-1,-1,-1,741616,590499,-1,-1,-1,-1,273531,113721,-1,169656,403968,482445,199050,619590,778529,-1,-1,163995,841533,555646,482222,-1,-1,-1,-1,-1,145603,896686,-1,851757,-1,114186,634333,182791,558375,919030,-1,-1,-1,294031,-1,-1,696574,246358,440456,-1,-1,-1,-1,-1,223840,899519,-1,-1,-1,764791,84611,833650,716402,67164,-1,-1,-1,672042,-1,-1,88240,307755,-1,455675,-1,669984,-1,-1,-1,3736,-1,993947,-1,2443,846846,880692,975234,242524,551191,-1,530725,-1,743934,905156,889589,203141,549264,-1,925158,-1,-1,-1,956261,62911,25190,-1,-1,456420,-1,231024,428217,-1,653319,416230,87059,206678,317260,157781,369480,206730,-1,-1,960607,399609,-1,-1,-1,187853,-1,-1,581630,461890,-1,156528,874322,274526,987495,-1,471033,-1,-1,760630,531383,567660,-1,-1,766345,-1,128982,-1,509365,336365,-1,532819,460144,871570,-1,705961,264216,19347,170641,-1,-1,-1,290063,-1,-1,330841,-1,-1,-1,-1,-1,-1,240325,337504,394192,713206,12087,-1,784335,757789,-1,-1,3508,576675,-1,-1,284409,-1,636185,134990,213462,653412,-1,-1,392873,38782,-1,893005,682478,221851,779300,902363,-1,310260,506602,-1,-1,-1,-1,-1,-1,-1,801547,95870,796422,617141,662373,332899,-1,947076,350510,675674,600087,23021,414812,177875,-1,127674,177800,-1,-1,-1,-1,-1,-1,271430,-1,-1,-1,-1,664016,627023,-1,-1,-1,450398,392618,352762,916162,-1,111917,426786,200822,585934,998442,221835,-1,-1,850544,688981,-1,925880,995091,561754,-1,-1,549866,386173,-1,-1,772304,671298,137038,-1,695258,-1,-1,-1,-1,-1,266699,30224,-1,333466,259068,386744,939383,728731,428437,408060,815882,413373,658381,985627,-1,789192,215870,393070,-1,-1,618503,195756,-1,691056,-1,-1,401933,-1,83951,-1,-1,-1,878901,-1,-1,-1,-1,-1,104457,-1,-1,718365,715583,543420,531455,94640,-1,-1,-1,-1,901074,-1,485249,-1,522652,-1,-1,858514,-1,756551,474159,107076,-1,961930,720313,-1,734654,251960,844576,-1,-1,-1,771711,-1,107284,261500,-1,583192,568704,-1,-1,-1,-1,-1,-1,-1,58659,-1,-1,-1,842869,793947,-1,908666,791861,511839,639830,-1,404679,475155,238306,-1,-1,453627,421606,-1,-1,-1,-1,789499,-1,-1,-1,185578,279955,-1,280133,-1,587399,-1,302539,943444,423089,-1,-1,130262,-1,-1,380138,-1,532179,-1,217484,-1,-1,-1,-1,725995,-1,-1,347166,281858,383898,-1,-1,-1,-1,-1,989808,-1,435062,-1,435746,-1,-1,-1,-1,-1,804761,756050,-1,170060,203446,-1,-1,349791,374857,324024,982998,-1,506038,934682,300902,-1,-1,97356,241583,683759,-1,-1,-1,144345,924396,-1,-1,310657,-1,213189,-1,331484,321722,-1,430017,-1,373776,-1,392005,262631,186044,871560,-1,776742,-1,-1,-1,978391,140512,-1,158874,-1,-1,785688,-1,728204,-1,-1,288437,483176,-1,-1,-1,84889,148637,120141,-1,92358,-1,-1,184050,-1,-1,-1,414885,-1,-1,-1,-1,447426,-1,-1,-1,-1,-1,-1,881924,677309,-1,-1,855676,298490,-1,640220,-1,-1,-1,-1,356697,251800,160607,741694,-1,894665,303523,362970,-1,-1,396870,-1,51726,-1,-1,-1,954585,-1,-1,-1,314886,-1,628717,-1,151458,148478,-1,647970,832401,11373,-1,-1,430998,496427,1410,-1,-1,-1,111934,536329,976454,355805,-1,-1,453346,337666,-1,924077,263195,228492,379964,559380,958952,-1,388830,352670,684832,230240,-1,-1,-1,-1,-1,-1,970507,-1,266986,-1,-1,810948,833967,-1,-1,992776,-1,211223,861399,109750,399949,-1,464841,-1,333181,-1,206435,381631,805989,-1,159316,-1,-1,107199,-1,-1,555069,-1,38976,-1,-1,-1,-1,-1,283798,806928,54961,-1,172560,-1,434538,-1,14374,-1,732107,-1,33945,418443,-1,356638,706884,-1,-1,-1,504383,767999,-1,386075,375567,-1,-1,424552,608268,376835,-1,555920,705761,785925,-1,278126,-1,-1,569481,-1,-1,31107,-1,-1,-1,802205,-1,522714,976138,-1,907297,444644,801191,-1,414303,-1,210256,-1,862779,-1,-1,-1,-1,605038,316030,-1,474049,-1,-1,-1,-1,-1,946310,-1,586187,-1,-1,998321,893334,59916,124396,290757,-1,-1,-1,-1,695581,288004,983211,-1,806939,-1,-1,-1,-1,689023,922359,-1,-1,-1,-1,-1,712899,-1,-1,98331,573039,-1,350068,-1,-1,248785,955307,456529,-1,-1,568317,677529,-1,-1,-1,867416,-1,-1,-1,-1,643132,-1,-1,270152,366763,-1,-1,-1,-1,-1,-1,-1,233242,-1,-1,374175,20662,-1,-1,-1,-1,-1,-1,619876,396552,-1,-1,-1,828763,888295,636055,-1,251733,807084,598095,-1,-1,920068,577420,-1,-1,252430,704864,289795,262085,372448,-1,-1,-1,807994,-1,-1,-1,285680,84535,-1,-1,-1,386824,-1,-1,60851,-1,-1,804284,27539,170991,412024,87642,194918,-1,-1,-1,-1,905062,-1,975917,498044,-1,-1,911970,874781,-1,735951,924924,972075,-1,724756,-1,961241,36066,-1,662934,768532,-1,-1,690031,-1,-1,-1,-1,703743,-1,-1,-1,-1,555763,324932,-1,-1,-1,264397,-1,-1,26104,528854,-1,477475,707327,212474,-1,-1,90108,79567,806248,-1,529196,-1,-1,823085,217750,-1,-1,-1,752000,922133,-1,919879,-1,-1,-1,444775,978613,-1,-1,540456,364301,528257,648146,-1,975419,-1,841861,611054,695592,-1,-1,495637,-1,-1,-1,-1,-1,-1,-1,340514,-1,-1,-1,383698,982191,702193,663160,936686,704718,-1,40642,107569,-1,147308,200889,328235,-1,563665,-1,-1,470851,872577,342884,-1,-1,-1,-1,-1,-1,88815,-1,-1,481516,-1,-1,172209,291189,-1,968213,827071,-1,331968,197133,-1,-1,928552,354172,243677,867589,-1,432625,-1,173132,-1,-1,-1,176769,-1,-1,852048,817690,754491,-1,-1,-1,-1,732741,-1,393453,774594,-1,-1,88441,419133,-1,-1,-1,552145,843099,-1,-1,393657,-1,-1,-1,370887,-1,-1,278010,827825,-1,-1,-1,-1,-1,-1,937972,429942,834797,-1,730021,-1,-1,-1,189775,-1,-1,-1,23833,-1,785259,859350,-1,157442,356466,862941,317394,-1,562073,941469,-1,-1,-1,-1,-1,868052,466295,-1,-1,492725,415966,762687,-1,835579,905136,-1,44330,884520,-1,-1,916648,-1,968840,-1,960937,-1,-1,736700,-1,-1,-1,856868,418202,-1,91845,523145,-1,-1,-1,374217,547570,906644,395336,-1,-1,-1,583676,-1,189355,903983,995082,959376,652456,753953,73701,-1,-1,705957,679652,90066,262849,-1,658364,740316,-1,-1,209253,-1,606965,893472,-1,786564,-1,403417,103826,949899,628979,-1,-1,87513,461396,-1,694103,553744,-1,-1,752123,917808,527900,-1,-1,-1,691178,616166,-1,-1,-1,-1,642088,823518,582744,-1,-1,-1,296554,554993,-1,-1,512427,387753,-1,-1,481309,-1,-1,750356,-1,-1,832939,-1,-1,759391,273995,-1,663517,-1,670872,730394,-1,-1,635799,-1,-1,405356,96026,-1,-1,537345,202909,717074,-1,633708,-1,-1,243588,327634,-1,-1,-1,813707,393498,73126,-1,653240,-1,-1,-1,566078,813030,778321,-1,428151,-1,-1,-1,-1,444215,-1,930286,287349,-1,437561,-1,-1,-1,297455,565801,-1,-1,-1,594635,-1,-1,-1,-1,-1,-1,-1,-1,631160,744921,-1,-1,347576,-1,100192,-1,-1,398314,68709,200450,-1,-1,-1,-1,362172,356046,797318,403285,760372,709306,311928,-1,-1,711349,-1,10603,684503,48608,557094,763055,738041,-1,-1,304985,-1,202443,783763,335284,-1,-1,-1,109893,-1,634285,-1,-1,846199,74114,204285,524183,-1,-1,622922,-1,-1,-1,398500,789174,136520,317619,-1,-1,-1,-1,242332,-1,110209,737590,-1,-1,64860,204339,669902,675278,272021,150848,237261,299468,-1,213440,498200,-1,912823,-1,-1,806004,-1,872270,-1,-1,-1,-1,271884,235858,343427,-1,-1,781717,459319,735533,483970,-1,447803,334855,775541,73987,-1,549466,-1,268107,430104,-1,-1,-1,-1,445535,450296,97373,23067,64865,-1,-1,929173,-1,-1,782565,402500,-1,294202,-1,-1,-1,-1,-1,771290,-1,-1,-1,-1,-1,808938,290597,-1,-1,-1,-1,-1,480318,-1,846645,-1,432383,752507,-1,-1,-1,114465,-1,-1,936621,-1,-1,111083,-1,-1,-1,-1,-1,-1,-1,-1,-1,44087,-1,-1,538217,-1,-1,-1,-1,-1,443003,332642,-1,-1,228238,752167,-1,-1,221096,-1,-1,-1,-1,-1,620579,680061,-1,357632,652012,-1,-1,-1,964354,173988,495646,611337,-1,146475,591632,67878,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,297307,-1,283918,178982,740967,236952,-1,-1,726210,-1,-1,-1,390163,842787,-1,-1,-1,-1,405143,-1,901333,-1,555809,72216,-1,-1,-1,876543,367497,310562,-1,-1,193662,-1,98778,-1,-1,693009,197437,-1,815995,88379,951442,118632,291786,-1,202154,690183,-1,-1,-1,954859,405234,-1,-1,-1,382096,534856,865112,-1,-1,-1,-1,-1,-1,-1,254037,807758,820013,756813,-1,-1,119119,136449,898193,373761,-1,109038,204278,-1,-1,419407,-1,346442,-1,-1,-1,815066,-1,947371,473536,-1,218944,272403,-1,885750,-1,-1,-1,-1,-1,-1,581368,-1,-1,-1,587696,-1,891512,-1,-1,-1,85278,399886,700603,715236,-1,141667,906987,539361,257308,-1,782292,-1,-1,60267,623359,918256,-1,-1,232000,58312,-1,121329,-1,-1,145714,-1,-1,689345,-1,-1,282190,-1,113480,23281,303101,-1,387546,745860,-1,-1,-1,144507,59732,-1,-1,-1,-1,450112,-1,-1,584136,-1,281176,-1,-1,-1,668671,-1,969367,-1,-1,-1,953205,-1,-1,-1,256511,652379,-1,331762,-1,169651,-1,-1,-1,859513,-1,700715,-1,-1,43201,911641,739640,-1,368041,352618,-1,-1,128242,34313,-1,193306,690308,-1,228406,-1,-1,-1,626408,772677,-1,-1,205490,-1,-1,176113,997850,463578,-1,179955,487756,-1,-1,-1,307841,-1,-1,-1,-1,-1,-1,-1,20381,933296,737920,235872,-1,811811,223363,-1,-1,255041,363925,-1,-1,-1,57592,189098,-1,-1,319395,84101,-1,149136,290465,-1,-1,-1,696945,402454,-1,167250,536330,-1,402098,-1,-1,-1,-1,-1,957035,-1,-1,272697,-1,58353,337317,-1,-1,-1,901930,-1,13935,-1,660231,-1,-1,-1,166376,-1,958917,840669,156907,125411,19574,-1,-1,-1,560113,610735,-1,486330,-1,-1,-1,892837,-1,-1,-1,-1,-1,-1,-1,162283,215621,-1,705766,473292,-1,746778,758196,-1,-1,620196,-1,624086,-1,-1,135644,-1,-1,329720,-1,431394,623736,-1,174022,494340,216959,-1,51111,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,110798,644557,-1,48166,-1,-1,-1,-1,42818,-1,-1,245215,-1,-1,-1,-1,-1,463793,599145,-1,-1,200691,675392,-1,174581,-1,-1,-1,145351,87803,372610,-1,-1,-1,-1,977888,-1,928445,-1,-1,-1,-1,-1,504800,-1,-1,145465,611633,425907,-1,-1,71562,-1,-1,-1,886780,775555,141675,-1,-1,-1,-1,181250,-1,15884,-1,270588,662125,-1,429930,554859,422052,-1,-1,572679,-1,-1,-1,-1,890237,-1,-1,687817,368798,496168,496297,-1,419991,-1,167784,-1,752235,-1,671812,-1,-1,-1,479677,995567,-1,-1,-1,-1,688633,-1,-1,-1,803958,-1,-1,-1,123190,-1,73912,-1,-1,-1,-1,-1,-1,-1,630591,587215,-1,-1,862107,474855,-1,266028,652034,249614,936813,355591,-1,-1,745822,-1,-1,304785,-1,887678,-1,-1,899427,634510,-1,-1,572456,136896,-1,-1,128244,832840,712374,323468,623046,-1,649098,926143,941425,-1,-1,125391,-1,-1,447971,-1,32964,127811,231704,-1,-1,-1,-1,809442,404780,314062,-1,246582,336377,-1,-1,317228,-1,-1,346306,-1,-1,812292,-1,-1,-1,207094,-1,720535,150533,-1,-1,876608,-1,604241,-1,672035,722641,-1,829092,612152,-1,585485,773142,272658,881226,36384,-1,432635,-1,-1,-1,170221,652375,-1,341708,938078,-1,-1,51586,54552,712986,966560,743294,-1,111979,364331,-1,620206,732591,-1,929904,352610,-1,341041,47624,477612,-1,870908,582428,-1,646419,-1,-1,548619,374212,915372,523708,950117,992098,-1,-1,-1,125103,-1,103766,935243,-1,484931,51032,-1,-1,-1,-1,-1,257817,764977,137479,273239,-1,-1,-1,857567,-1,550764,-1,535229,249600,-1,810638,844229,-1,921894,-1,-1,518836,699281,525988,-1,469944,-1,-1,-1,-1,-1,-1,202315,-1,-1,-1,682497,-1,-1,-1,-1,214730,894894,734237,-1,876392,916863,-1,204447,812417,-1,36137,-1,-1,928999,-1,892883,964346,181053,815768,-1,854158,-1,183476,3777,-1,129771,985441,611515,350791,-1,-1,-1,-1,-1,20455,-1,536237,-1,311330,238833,351797,-1,419888,-1,-1,-1,-1,642562,-1,-1,-1,-1,-1,823022,-1,193074,-1,-1,-1,-1,-1,436659,971310,-1,573446,-1,-1,469904,194348,870188,344494,126741,-1,635244,917964,-1,-1,-1,-1,-1,-1,180326,386440,-1,-1,292162,-1,-1,322254,997170,-1,-1,-1,-1,-1,-1,-1,-1,786575,305563,682387,755802,781308,-1,78449,-1,-1,-1,660180,465974,285950,710075,-1,76097,823194,-1,-1,-1,952083,873725,674318,-1,-1,311008,171843,838145,947363,-1,-1,-1,-1,776624,594245,-1,-1,-1,269647,576424,-1,-1,314007,-1,-1,-1,42699,-1,-1,462220,183447,-1,-1,811594,-1,-1,-1,-1,615167,-1,-1,-1,671001,25894,603713,-1,310972,481692,-1,-1,-1,-1,-1,692860,705057,-1,884480,839943,-1,767793,-1,-1,-1,799659,-1,684672,-1,-1,-1,161047,-1,-1,450927,-1,580358,586911,-1,193113,238022,-1,309764,-1,121842,-1,-1,-1,-1,626928,-1,-1,908224,-1,977252,976815,252599,204352,668089,889536,-1,-1,-1,-1,758149,-1,424015,-1,-1,-1,-1,-1,498254,225471,250528,-1,458718,556391,684343,-1,-1,-1,950552,5378,990516,148647,226619,290211,902613,-1,-1,-1,485263,119861,-1,61534,-1,822349,-1,490437,-1,247718,-1,-1,980691,724253,-1,-1,-1,343140,-1,-1,-1,-1,-1,-1,239203,777341,-1,419800,901885,-1,-1,-1,409352,-1,871774,-1,111622,324849,225916,-1,-1,-1,570330,272436,92611,-1,121291,-1,-1,509685,-1,50130,-1,-1,554777,871221,902219,-1,-1,484037,-1,931264,650623,-1,740490,-1,-1,-1,977050,599482,-1,-1,-1,775526,-1,172102,-1,525244,682657,497399,602694,865584,813551,925833,-1,-1,5385,203442,733755,-1,-1,-1,-1,141100,-1,-1,-1,387662,-1,65686,-1,-1,474625,145515,-1,658628,-1,-1,746012,-1,665793,666393,-1,-1,-1,-1,-1,-1,317516,251332,267710,-1,-1,790775,-1,-1,433671,699866,-1,-1,-1,479570,-1,-1,347146,952397,348105,-1,147583,90945,134772,476102,29910,-1,-1,11326,650630,262617,503269,-1,109427,816820,-1,-1,-1,-1,-1,385878,101514,-1,836070,749746,-1,472239,952103,-1,-1,-1,278160,-1,167782,193276,36562,-1,632203,219374,87982,711083,-1,306985,-1,-1,766383,330145,-1,705305,643892,345063,-1,-1,-1,874679,754001,-1,251720,318973,287924,-1,804708,605501,-1,780796,154592,525301,-1,786608,-1,754579,601703,-1,-1,-1,638862,957030,990861,471870,409699,976153,751476,-1,470103,871476,-1,-1,-1,-1,-1,181980,501967,197787,-1,748158,274241,419353,-1,-1,734436,-1,837497,-1,-1,280776,-1,-1,955056,7847,-1,564451,956537,-1,457846,-1,-1,976198,887891,-1,-1,271965,379315,303542,-1,-1,344701,385331,807294,607574,748332,-1,214567,-1,-1,-1,-1,629886,923488,96173,790128,669247,791115,282987,254498,-1,-1,-1,18894,-1,-1,397999,-1,-1,970802,-1,-1,-1,-1,637152,-1,821416,-1,567711,-1,3842,505267,545895,-1,665507,217141,705880,-1,700247,137235,128872,637702,-1,943549,-1,-1,-1,-1,-1,-1,-1,284921,700455,-1,-1,-1,653301,-1,-1,192758,-1,-1,-1,915552,-1,176976,-1,-1,-1,-1,268804,683419,-1,880369,-1,-1,447370,872573,-1,-1,-1,-1,624981,24009,-1,407604,-1,111446,116361,502974,501604,-1,-1,525918,634674,100910,784914,-1,595382,-1,-1,769954,-1,-1,-1,-1,-1,723678,479630,-1,410611,705904,391294,-1,-1,425620,-1,267602,301203,-1,-1,-1,-1,962106,-1,466910,-1,-1,-1,386110,7908,-1,299569,764808,-1,-1,-1,-1,-1,148736,-1,-1,210694,-1,931710,-1,656729,-1,442424,653654,-1,79795,73709,868156,-1,722314,628101,528111,-1,596056,733233,440525,46999,-1,398495,836254,973809,-1,77506,-1,-1,315721,-1,816889,825767,-1,853201,458065,-1,-1,-1,695973,-1,-1,-1,-1,667442,-1,115201,831280,-1,-1,742653,-1,537538,452413,832614,-1,823921,-1,775847,531475,-1,92071,257166,-1,574787,42577,793180,53214,-1,-1,666986,-1,404143,-1,37730,-1,490642,-1,-1,130134,352977,-1,-1,370852,19215,-1,97556,-1,-1,288897,-1,788003,601800,142746,-1,-1,-1,-1,-1,-1,757513,735091,-1,974736,785675,-1,-1,763287,443150,712555,-1,31113,-1,39317,-1,331756,306353,-1,-1,-1,-1,793987,323384,-1,300030,705820,-1,798436,-1,-1,-1,-1,-1,371981,685723,500161,574506,263859,-1,-1,-1,-1,289341,981245,93962,255640,-1,-1,-1,155759,-1,541521,-1,-1,-1,208447,-1,354406,648406,-1,929157,85158,-1,169231,-1,-1,-1,-1,-1,520405,372980,-1,-1,-1,820656,-1,569632,-1,582141,919393,-1,987370,552045,-1,-1,-1,410163,-1,-1,-1,629137,-1,-1,319662,-1,-1,-1,443377,-1,912361,-1,-1,-1,-1,-1,-1,-1,670635,397773,533493,-1,-1,701562,112056,-1,184749,37342,-1,-1,-1,659203,153283,-1,-1,-1,-1,-1,-1,265850,-1,905413,-1,-1,583333,-1,5620,629740,545535,362992,279057,-1,694914,516627,-1,126692,-1,752801,940240,-1,968113,-1,162776,349377,893794,503561,62407,452911,717811,121697,446899,-1,493613,827482,-1,261713,856972,361909,8050,-1,671797,-1,-1,847162,-1,957168,-1,215421,-1,615303,-1,-1,804104,-1,-1,320541,-1,-1,256043,756281,-1,303543,-1,667913,-1,-1,766406,-1,-1,-1,-1,659178,-1,-1,-1,799613,-1,-1,-1,290765,-1,-1,215391,-1,475825,136056,-1,-1,60698,-1,82431,-1,-1,-1,-1,686259,87968,-1,171719,-1,543421,-1,795214,25097,-1,-1,-1,888693,-1,-1,-1,-1,10950,618166,679177,-1,-1,-1,207347,-1,961144,280341,76389,245378,-1,957066,709974,847308,713903,-1,511420,418494,-1,-1,637276,-1,-1,-1,-1,417347,-1,555192,-1,750736,-1,617694,-1,-1,976379,485809,819745,-1,-1,226797,-1,-1,468049,341162,-1,-1,-1,798618,930476,393993,-1,358550,-1,78162,-1,563778,6262,-1,209756,513607,57225,618231,435751,-1,-1,-1,332562,33718,-1,232576,-1,-1,-1,995678,-1,-1,-1,-1,-1,-1,-1,957525,139366,652404,588612,-1,615248,55246,820271,-1,-1,-1,967870,-1,-1,-1,774210,695661,-1,363712,-1,881425,-1,-1,-1,244343,-1,132226,-1,542566,35515,721317,351119,-1,-1,-1,484070,-1,822243,-1,-1,-1,680752,-1,348900,613400,-1,-1,483125,459897,717823,-1,838700,-1,644214,520793,-1,-1,516532,-1,-1,640259,760513,-1,-1,527179,-1,-1,126828,-1,592020,-1,-1,-1,-1,-1,-1,81537,-1,339373,906658,-1,820797,-1,-1,-1,-1,-1,711745,95464,942204,185442,130018,-1,-1,-1,135016,442868,-1,257239,-1,141950,-1,487237,-1,214407,597561,849799,459097,-1,-1,-1,-1,-1,865049,487037,645607,-1,-1,957512,767195,-1,984890,-1,-1,-1,-1,-1,-1,223315,-1,4020,-1,217237,255098,508973,666718,752035,372903,-1,-1,392192,-1,-1,-1,-1,-1,-1,683553,-1,219653,251882,-1,-1,-1,909522,727080,29294,423725,943821,623433,523218,761007,322732,-1,-1,-1,692631,-1,-1,-1,-1,818518,-1,-1,634900,397247,139759,-1,-1,922505,647600,-1,829627,165320,-1,265642,-1,-1,-1,-1,202279,-1,-1,-1,212702,-1,-1,118965,974930,-1,590479,94582,285227,-1,755160,463694,421310,90976,-1,-1,298516,-1,-1,3139,341024,98275,227160,384865,-1,755759,779311,806066,990375,922602,-1,654831,895806,-1,-1,-1,430248,-1,-1,-1,-1,781164,32575,704886,107520,-1,706289,-1,804508,994828,-1,-1,-1,-1,-1,779415,-1,-1,-1,-1,296534,815867,-1,267991,-1,-1,153244,608877,-1,348630,-1,217852,-1,-1,-1,-1,-1,-1,-1,-1,547338,181069,305982,-1,875645,-1,-1,172251,-1,572735,968869,870698,-1,-1,49906,137652,-1,250191,78171,882345,-1,-1,438600,902906,-1,605580,781049,-1,391999,-1,-1,554575,-1,536608,201519,-1,87363,252728,289294,-1,916588,-1,791788,-1,-1,306197,-1,-1,599661,948587,-1,-1,427732,-1,-1,-1,875324,-1,-1,-1,365169,-1,-1,-1,758315,-1,295654,808194,92833,361648,-1,-1,-1,435398,-1,-1,-1,-1,235501,-1,890307,509874,-1,206399,-1,487450,-1,-1,-1,-1,-1,-1,-1,-1,599128,580981,-1,524354,677714,350326,83585,-1,872455,-1,685311,-1,996089,666264,-1,287089,-1,-1,130387,-1,503648,-1,167988,-1,-1,395842,447317,-1,-1,-1,575673,168161,-1,-1,215683,619188,-1,-1,873256,-1,-1,654710,-1,-1,-1,256552,790596,804206,635716,-1,-1,397234,122836,-1,-1,92269,910617,-1,782348,-1,432251,836638,783406,859547,-1,-1,-1,705075,173016,32239,830612,-1,62370,-1,249117,299328,454904,637863,765139,-1,-1,-1,-1,186230,328461,340063,490798,963282,129633,920365,-1,419952,-1,-1,763300,-1,-1,79072,-1,-1,913947,-1,988676,-1,-1,553842,-1,-1,-1,667559,936779,117810,62274,91846,316357,18488,-1,900166,446107,350417,-1,-1,50736,545831,905236,-1,700447,730691,-1,-1,261003,624447,-1,124212,-1,-1,-1,-1,-1,-1,-1,-1,-1,767527,795222,-1,-1,730899,25877,359691,-1,-1,997626,457282,-1,223368,472370,-1,360803,-1,830897,119006,727249,924105,-1,981121,-1,806554,-1,808981,47578,-1,906840,625353,612641,815993,-1,384256,161784,-1,974377,878955,716698,642061,-1,-1,-1,950681,-1,148322,146061,188277,-1,-1,-1,-1,206492,558901,274610,-1,907594,-1,-1,82934,-1,-1,631037,-1,-1,798404,-1,932036,973857,-1,-1,-1,-1,-1,-1,640662,220919,-1,223245,-1,896797,-1,346511,-1,611149,353198,-1,-1,-1,340471,-1,-1,338682,188256,12690,920282,723958,660216,-1,-1,-1,-1,3132,-1,131494,890213,-1,-1,709056,777820,550613,700654,-1,-1,-1,-1,958759,-1,56271,-1,-1,728478,378462,-1,964846,385871,225521,801551,-1,8516,317138,-1,-1,-1,590392,421,405582,601333,-1,34878,796544,-1,-1,721864,388081,-1,-1,-1,196730,193848,975523,-1,890898,780896,-1,-1,-1,831920,-1,1686,-1,535654,210141,-1,-1,485577,-1,-1,711609,-1,-1,-1,-1,-1,-1,-1,682230,-1,28466,-1,44856,689351,-1,-1,-1,-1,-1,699504,-1,-1,845747,840760,176528,881150,-1,-1,-1,117523,-1,-1,74786,-1,-1,-1,-1,-1,-1,144975,-1,-1,-1,311151,-1,997740,693799,373957,-1,-1,-1,680934,-1,419790,-1,-1,-1,-1,-1,992438,-1,173980,-1,586677,647738,-1,-1,-1,-1,-1,72324,-1,640738,-1,-1,226483,262452,527927,343193,171159,-1,405828,-1,-1,-1,-1,75140,-1,-1,-1,-1,787794,-1,107849,223490,313271,284381,-1,593263,726354,568945,-1,223014,925741,-1,-1,-1,954060,45371,643643,123073,-1,755333,-1,-1,290699,-1,733115,-1,860692,41739,-1,-1,-1,795227,-1,675332,130892,736659,-1,888976,-1,29314,-1,983645,-1,292538,-1,-1,-1,155414,868689,-1,725397,177514,-1,-1,-1,532857,493746,-1,971986,-1,90899,777679,96719,-1,427832,996689,-1,-1,863037,-1,221359,-1,4392,338362,503656,726910,698404,323755,-1,-1,-1,278781,-1,-1,837024,-1,-1,-1,64472,-1,-1,221385,-1,837474,-1,-1,-1,346195,621926,-1,-1,3222,567615,498329,-1,-1,858764,637286,-1,740082,-1,-1,376015,853369,-1,920916,-1,-1,169434,529044,568408,402485,280777,-1,-1,627036,457681,784008,-1,237776,-1,-1,862335,815910,-1,852913,-1,-1,-1,273893,747414,-1,-1,-1,-1,943208,523221,156213,545678,-1,-1,599138,655090,267844,-1,106903,-1,-1,-1,-1,89372,545875,795152,-1,122012,167447,-1,-1,713059,722367,-1,946879,-1,72203,-1,-1,739874,398707,455257,522600,36344,889868,325658,51220,233720,345280,-1,-1,-1,371807,444192,126830,92135,-1,901882,324893,937740,470829,580960,-1,-1,630711,-1,-1,-1,904769,265799,-1,305996,-1,-1,-1,745009,250025,201691,-1,-1,-1,89098,719030,307195,-1,466298,-1,465193,-1,472433,222271,969086,763861,741738,479862,594065,-1,-1,-1,596835,856954,-1,540759,464151,857095,720028,978269,717874,-1,-1,704038,682056,-1,-1,-1,252644,658746,59769,-1,-1,22972,654814,504258,568182,-1,-1,86175,537614,463996,703818,-1,-1,-1,980660,363592,536610,742195,42800,-1,-1,87989,-1,301352,-1,-1,-1,-1,-1,527285,189579,707734,-1,454298,-1,833192,-1,-1,875087,-1,339112,-1,559632,633379,-1,575516,-1,-1,-1,449307,327525,-1,426730,316252,-1,671594,-1,475909,117976,-1,714525,-1,-1,60165,15835,497014,395549,974794,311412,-1,646703,-1,329433,-1,637709,-1,-1,976870,241869,-1,-1,-1,-1,431094,369321,-1,-1,764292,-1,-1,153823,-1,-1,-1,899928,881256,150742,-1,-1,62687,-1,-1,614306,-1,-1,725533,138630,-1,702202,386999,217213,-1,-1,928668,174968,700910,681489,496507,706173,81128,-1,-1,-1,496838,393332,-1,258712,-1,-1,-1,232455,630680,-1,-1,-1,-1,-1,958350,319713,-1,386542,518214,631834,441605,-1,219750,-1,523650,-1,488183,224983,220904,-1,619748,-1,91095,-1,-1,-1,707410,71119,-1,-1,492791,-1,-1,926083,-1,230312,914577,405621,-1,-1,114883,262281,818181,917939,61423,852575,-1,640214,751372,-1,-1,914510,636150,-1,430951,253961,-1,710541,-1,81336,991472,-1,849724,320379,-1,-1,811441,921687,-1,-1,-1,201891,-1,-1,-1,-1,-1,-1,-1,-1,50050,160852,-1,-1,-1,385525,-1,-1,-1,-1,-1,-1,-1,613889,-1,-1,675905,-1,221695,-1,33402,652066,-1,741885,658222,-1,44854,467461,-1,587819,302347,238608,227284,-1,109654,50833,-1,138773,686930,-1,-1,852729,-1,-1,642023,-1,960792,439117,572325,445908,-1,320083,527975,-1,257956,-1,-1,-1,401090,-1,-1,-1,-1,280459,-1,-1,-1,629576,-1,252437,440830,-1,868725,-1,54794,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,407070,-1,-1,927211,753883,123622,467078,-1,-1,-1,-1,-1,-1,925535,804203,617481,753304,11538,53547,500287,398124,-1,-1,723831,893112,767927,34770,445332,133602,-1,603539,-1,32364,-1,-1,-1,422247,-1,748895,996319,-1,-1,501284,-1,-1,-1,-1,930824,-1,-1,866071,123236,-1,-1,434936,185230,-1,188239,966373,795217,648739,-1,614220,-1,599181,712173,750162,-1,427057,162012,-1,352436,-1,-1,-1,-1,522261,658523,-1,130572,901574,-1,148151,494351,-1,546033,713072,903129,178938,-1,-1,-1,-1,-1,-1,122420,-1,-1,19456,248121,-1,587828,-1,-1,-1,900239,-1,348055,729901,345228,180804,839767,667617,804536,660011,194901,-1,283307,527418,-1,93637,-1,-1,-1,-1,-1,-1,126893,-1,620072,425034,-1,938582,449698,109828,993226,-1,-1,379850,514108,690808,609612,321115,109420,-1,487828,839350,-1,-1,-1,-1,-1,379344,-1,902839,-1,-1,14372,822407,469107,896005,62898,-1,290170,-1,570966,-1,619675,967740,330333,42112,-1,80636,-1,-1,630961,572255,-1,131323,-1,21270,-1,-1,-1,-1,-1,-1,-1,-1,265133,-1,-1,436652,-1,807342,-1,57848,739461,-1,-1,-1,539266,-1,-1,-1,-1,19876,672682,-1,-1,-1,787685,-1,-1,961317,631225,-1,-1,30923,-1,81682,-1,134017,427523,-1,-1,-1,544135,-1,-1,704725,-1,-1,424400,441593,-1,155335,797563,-1,-1,-1,592254,-1,324562,208498,942570,638374,-1,292729,-1,193666,-1,23089,-1,177385,790011,664954,502356,938789,853853,-1,-1,-1,712014,679501,-1,-1,-1,-1,-1,-1,-1,178780,-1,-1,191642,210240,215970,-1,90739,-1,16098,920168,-1,-1,-1,-1,611696,506155,-1,604613,281052,126139,565638,350672,-1,-1,-1,-1,-1,-1,886293,-1,810317,292608,36722,795105,506085,-1,-1,709438,731152,-1,350290,-1,-1,903766,-1,-1,2779,476509,-1,134246,678566,-1,911537,-1,-1,10154,-1,300054,-1,723106,-1,433444,13471,-1,773667,-1,116111,838527,-1,-1,-1,419295,-1,-1,911485,-1,749309,234426,741783,468575,-1,-1,-1,252236,649110,169837,-1,-1,333940,931144,335745,-1,515990,570051,779958,-1,410945,443420,-1,-1,-1,-1,447338,-1,-1,-1,832107,-1,-1,243790,-1,-1,-1,-1,-1,791744,206484,210553,-1,538958,-1,332128,-1,-1,-1,-1,83729,624496,689133,968967,-1,-1,125109,883005,-1,212357,874591,-1,17753,184066,-1,-1,-1,-1,-1,935341,-1,-1,-1,402557,-1,241183,-1,-1,-1,459642,718100,-1,995804,102162,924868,-1,-1,586011,-1,-1,-1,-1,-1,-1,705076,-1,171658,746577,22844,-1,197512,-1,893080,893350,-1,-1,192677,140086,-1,-1,-1,108572,-1,-1,-1,-1,171003,193964,599582,673947,841738,-1,-1,-1,-1,7351,-1,-1,422966,15624,-1,656550,264340,-1,99591,877683,365808,-1,-1,945769,939190,230656,-1,-1,243001,525860,-1,517477,863472,-1,736447,184224,-1,-1,-1,-1,894883,436591,574646,338627,-1,769232,-1,-1,-1,312159,631974,-1,-1,-1,904191,-1,949575,-1,-1,-1,671883,-1,-1,-1,533476,-1,-1,-1,-1,142971,-1,82304,532969,395896,-1,-1,91650,-1,132549,156106,279551,-1,-1,26399,137096,654591,651085,-1,-1,495488,-1,988734,-1,-1,57778,-1,47258,-1,988541,369122,462595,-1,-1,-1,425684,-1,-1,-1,965515,117951,-1,124109,399762,355909,-1,350580,695857,991704,587391,-1,-1,-1,-1,-1,808784,900916,578688,127456,-1,-1,789434,551469,113886,-1,849940,-1,-1,690353,-1,-1,526466,583865,-1,195273,352108,883363,-1,906952,-1,703120,101378,873288,-1,-1,-1,63015,989321,-1,111186,415411,-1,452489,97152,892539,-1,-1,559921,-1,596536,-1,708654,6226,541554,-1,-1,283804,752215,-1,-1,689382,-1,-1,650119,-1,-1,-1,44180,615841,-1,532012,-1,84682,-1,859146,-1,-1,-1,664312,-1,575145,560695,905045,-1,-1,550526,-1,-1,487176,-1,-1,-1,816381,-1,-1,-1,455570,31990,-1,-1,704441,642534,-1,-1,-1,298573,557735,680525,453824,192679,-1,693790,645682,397001,944708,-1,866159,-1,-1,-1,-1,-1,-1,860476,-1,732503,369083,98209,574455,-1,-1,-1,-1,-1,785256,-1,-1,-1,-1,51626,329704,40671,996240,647197,-1,544081,355440,218176,669799,-1,-1,379239,-1,243570,212679,272104,-1,-1,-1,-1,542436,466946,-1,763314,57403,481491,-1,845716,-1,-1,-1,29579,-1,401054,-1,60930,16670,972137,907351,-1,-1,828142,-1,899281,-1,-1,749554,-1,213961,155164,211620,-1,-1,-1,607232,-1,859145,392683,-1,-1,922844,-1,-1,-1,-1,-1,984637,-1,-1,814046,70354,-1,-1,865986,-1,515615,-1,478214,341496,-1,-1,914076,619854,529642,433996,-1,782996,239160,-1,896805,-1,158350,711891,-1,-1,-1,443819,555946,387522,100826,-1,921594,851919,216351,-1,-1,-1,-1,718511,-1,208663,-1,-1,-1,785918,891286,684724,-1,652706,832595,-1,81055,117601,-1,309,-1,518541,-1,-1,-1,857421,-1,665267,-1,953563,274501,556049,-1,347690,110712,512697,-1,-1,57641,970160,-1,-1,-1,672488,33391,-1,-1,360689,-1,-1,-1,162805,121235,915072,980085,336809,410321,452512,-1,946891,85527,912444,-1,-1,-1,810678,625580,944151,-1,-1,517635,220155,-1,185853,50300,-1,943590,-1,560326,-1,-1,-1,-1,832001,-1,-1,185383,227243,757686,868111,7252,-1,-1,258073,-1,948301,596608,-1,748626,-1,503861,-1,-1,120415,722923,-1,350062,438089,-1,-1,685586,723020,892147,-1,-1,-1,814071,829261,-1,-1,828315,-1,906,-1,-1,-1,644862,-1,768339,870867,-1,911403,743918,569313,910410,901512,238825,-1,-1,-1,-1,-1,95133,-1,153642,-1,737855,-1,-1,-1,275868,-1,-1,-1,143260,449527,-1,-1,-1,-1,150201,-1,187389,844228,226566,900120,721661,43743,706732,-1,844643,-1,951467,-1,-1,-1,-1,942947,63848,798883,-1,-1,885345,33722,846655,31285,491236,791042,-1,811443,677871,509832,589452,-1,516964,-1,246588,909212,203024,507683,935019,776823,420658,-1,650054,-1,747496,-1,846214,233723,-1,710262,-1,-1,-1,435416,364050,407423,932899,-1,759987,298729,-1,-1,-1,-1,-1,277891,412092,-1,379479,816753,-1,-1,-1,600133,-1,537879,458100,-1,-1,-1,-1,263894,461621,322992,-1,-1,448665,-1,-1,192018,-1,-1,132982,-1,-1,690370,239844,-1,-1,140983,65290,950546,-1,-1,486998,788941,-1,-1,-1,26366,867262,-1,149207,953341,962873,-1,465991,-1,90234,-1,-1,363788,567879,-1,-1,548011,731785,778346,-1,-1,433625,-1,-1,-1,-1,-1,-1,-1,-1,-1,997072,-1,-1,530891,-1,958842,-1,-1,-1,-1,-1,-1,101527,-1,353121,-1,-1,663815,-1,-1,-1,-1,697796,-1,400339,27114,-1,-1,-1,268012,855737,881556,790581,1952,114113,169274,-1,-1,-1,-1,624100,72827,-1,700161,-1,379770,949606,715060,-1,348463,-1,712485,-1,-1,-1,-1,-1,-1,533614,-1,-1,157982,834090,-1,-1,478985,-1,-1,142802,831669,-1,856776,-1,-1,309055,944137,221005,993904,149316,854854,403092,220624,-1,-1,-1,-1,779380,-1,460957,459061,434684,-1,-1,-1,721077,991819,-1,838934,67337,485900,389556,822486,-1,-1,943684,865586,424486,-1,161585,-1,-1,927927,-1,688112,53521,58006,901115,856385,779137,758180,-1,233173,-1,-1,-1,-1,-1,303532,872467,-1,-1,-1,383886,-1,-1,232088,-1,-1,-1,260637,-1,839676,-1,401193,278495,-1,89975,740959,935486,-1,-1,845856,-1,-1,746439,274866,-1,-1,-1,-1,-1,-1,-1,-1,509281,126182,556981,853972,-1,-1,-1,936953,-1,703192,-1,995536,-1,-1,-1,710710,584771,-1,192932,992643,-1,-1,817838,281123,804186,807529,-1,215847,-1,836459,389472,386207,87138,-1,-1,-1,249921,-1,165790,-1,379736,-1,352381,698529,-1,-1,332341,167013,-1,-1,379746,682788,522044,291393,-1,-1,-1,578449,-1,-1,-1,-1,-1,-1,895966,875999,-1,227107,-1,453489,-1,-1,225998,-1,-1,-1,591645,857953,479204,-1,-1,25370,107481,-1,-1,85205,914479,73092,-1,458494,-1,703588,125989,7068,-1,895380,278038,679537,-1,419679,-1,543584,-1,507178,-1,117446,-1,-1,523857,194605,723872,-1,-1,998426,-1,-1,937203,217321,-1,-1,553961,-1,-1,721093,-1,-1,-1,743579,-1,-1,10014,-1,704431,866032,-1,472144,130075,52136,755676,-1,-1,482401,-1,-1,-1,-1,928088,-1,276810,-1,145294,-1,-1,706023,812182,56893,752684,-1,172522,680843,-1,-1,-1,-1,-1,-1,569121,-1,-1,698165,-1,-1,-1,-1,188645,-1,-1,-1,-1,-1,-1,836226,712026,-1,689482,-1,-1,777090,-1,93924,-1,-1,-1,826556,-1,223505,-1,-1,407022,407908,-1,890988,245492,-1,-1,-1,-1,270662,425781,-1,-1,855985,421363,776325,685376,886969,-1,-1,-1,8556,-1,544617,-1,-1,145161,273228,469604,40319,931209,421133,-1,308200,298932,-1,83621,-1,-1,809575,343170,-1,-1,-1,-1,-1,-1,-1,-1,-1,864182,166644,639143,849906,-1,90318,-1,-1,-1,54054,60421,474573,89007,-1,-1,593771,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,120703,-1,-1,425295,448761,720402,-1,686396,140368,134920,550721,292145,494580,832061,875114,-1,-1,-1,303271,587796,-1,562622,955304,890850,-1,339599,-1,-1,-1,430157,780622,-1,-1,-1,123187,491963,78982,534867,-1,864009,-1,256044,737249,-1,922407,-1,82712,-1,-1,-1,-1,234407,754088,643694,-1,-1,-1,132896,-1,-1,-1,-1,-1,255184,556272,-1,-1,-1,-1,972435,-1,803625,797948,889090,188723,-1,-1,50754,914221,-1,-1,30436,724402,783558,-1,-1,-1,868904,602161,635552,48734,932331,410668,-1,600712,-1,751964,-1,740471,502039,-1,800380,480119,121944,-1,48384,529457,885545,680524,-1,-1,-1,-1,482369,-1,973125,-1,-1,739613,-1,459040,-1,-1,-1,977099,-1,-1,183013,863336,203843,706444,-1,246388,-1,-1,546118,-1,957171,238251,-1,-1,-1,124288,-1,-1,-1,-1,728242,-1,85672,-1,152453,175969,511218,729100,321252,605241,273579,-1,-1,-1,617461,765592,326309,799630,186451,-1,-1,-1,514898,-1,396647,-1,325194,235533,-1,-1,355587,-1,479347,394570,-1,-1,-1,-1,687991,-1,-1,763708,-1,-1,946654,312844,-1,-1,953783,418756,962001,134543,-1,686630,-1,-1,-1,-1,130471,-1,-1,319400,837251,407414,669380,604239,960236,18200,970724,961872,-1,-1,528113,-1,-1,-1,-1,-1,886875,279143,434069,-1,866426,865380,850907,833923,8095,392808,-1,940979,-1,-1,869221,75197,-1,701889,779278,418707,-1,310711,79166,-1,-1,-1,-1,749095,-1,-1,341945,-1,-1,126942,-1,-1,-1,-1,-1,574546,-1,465483,124043,-1,856493,-1,907699,628907,770659,318844,638775,-1,-1,910229,-1,16958,442700,680480,-1,302279,-1,479140,670165,57978,666435,195173,494558,-1,-1,-1,-1,280407,226773,10211,208021,-1,601883,-1,782745,402597,385240,131533,-1,58112,-1,-1,-1,-1,-1,714566,570304,948923,-1,-1,-1,248427,-1,-1,-1,-1,-1,242077,661970,-1,-1,-1,499773,137532,-1,941599,164308,-1,-1,-1,786157,987035,-1,674711,444043,650563,-1,130920,-1,371941,-1,422364,37903,-1,-1,-1,78372,545188,861772,350083,205858,312187,-1,996363,-1,-1,-1,529339,-1,336552,-1,-1,170985,668940,-1,-1,729415,293665,-1,245983,114583,443183,-1,789007,-1,25297,319063,-1,-1,553083,-1,-1,604925,-1,-1,-1,-1,484847,112013,-1,582361,543633,231346,839726,860579,-1,66126,-1,-1,568710,100777,877807,559472,-1,819507,-1,-1,-1,595783,267358,671050,43941,833292,-1,-1,-1,989221,244754,165462,-1,-1,236941,-1,-1,487063,110427,914637,332048,-1,284564,504288,-1,862932,-1,-1,-1,489756,-1,-1,-1,-1,-1,-1,177394,449726,457928,310829,-1,-1,38709,932444,729342,157941,-1,-1,448824,-1,319837,-1,-1,-1,339606,-1,154220,360481,152219,554087,170679,-1,-1,717156,-1,203123,-1,-1,-1,-1,-1,82442,-1,914021,-1,-1,-1,902098,-1,698992,132290,666501,-1,301305,-1,-1,-1,880320,-1,-1,531681,-1,-1,194525,784640,-1,-1,238439,59874,-1,186356,397906,-1,249710,-1,-1,322037,863520,-1,75363,90468,717132,453397,-1,-1,-1,376675,-1,27289,882961,-1,135531,140320,-1,184430,-1,-1,449528,-1,-1,790175,-1,250758,-1,-1,812539,-1,-1,808883,209567,357523,-1,-1,746155,295772,-1,-1,187605,-1,-1,-1,-1,632427,-1,940887,-1,936350,563570,-1,107190,242987,377625,-1,-1,667542,-1,-1,-1,370294,108200,-1,954868,367585,-1,-1,-1,57732,-1,-1,-1,74166,-1,-1,-1,56394,-1,331693,-1,516612,-1,281715,-1,209704,329501,98651,-1,169991,894626,-1,605299,27048,-1,-1,950095,-1,327588,-1,961109,-1,656829,-1,580535,-1,17610,771844,786076,-1,100968,-1,497442,-1,667307,996749,-1,698976,10446,-1,-1,670716,747656,938576,-1,-1,-1,-1,717928,192128,-1,628965,465998,504708,-1,-1,515266,-1,-1,960359,750912,309315,-1,-1,300067,-1,-1,-1,575561,68715,72301,235261,-1,583809,968191,558831,-1,850284,815019,-1,429336,-1,-1,-1,-1,-1,367835,87310,583006,761405,-1,-1,-1,659559,-1,-1,-1,127277,-1,14647,-1,-1,56858,574393,184460,51153,-1,89350,800648,-1,-1,-1,-1,709578,-1,-1,443947,585362,-1,-1,-1,33940,242576,741660,-1,-1,-1,-1,-1,-1,-1,-1,-1,966229,510428,-1,397756,389625,-1,-1,248598,842556,-1,-1,-1,-1,-1,33800,684564,599481,-1,-1,592364,577635,-1,-1,-1,871730,783480,-1,361010,144678,-1,-1,723039,-1,-1,775906,-1,-1,376316,693552,319134,-1,559720,717848,-1,-1,-1,920203,796995,-1,-1,901798,477702,346954,148048,921332,-1,-1,200050,176725,-1,480501,-1,-1,619968,907306,-1,-1,-1,-1,543239,-1,-1,-1,-1,825920,211573,588896,813985,856672,408774,291501,-1,-1,773089,811154,-1,525295,389731,541078,-1,-1,-1,-1,300678,681521,-1,-1,-1,-1,-1,861207,649906,-1,-1,629148,-1,-1,-1,-1,-1,-1,646822,849824,866162,-1,-1,-1,667029,264718,923832,-1,-1,90262,-1,-1,954193,-1,-1,-1,-1,894463,280241,-1,-1,-1,-1,216913,629259,903097,281709,-1,871691,243666,-1,-1,-1,493212,-1,213562,750824,-1,-1,-1,741386,-1,736247,219922,458712,-1,671459,-1,-1,-1,-1,193912,-1,558934,75577,-1,476039,63773,45119,759921,980016,-1,499530,149093,353343,-1,-1,-1,552445,450364,-1,175465,54790,317114,-1,768804,-1,983779,-1,-1,-1,-1,-1,21576,778269,-1,735489,107921,784544,844461,-1,888052,-1,737787,-1,305676,-1,475861,-1,64515,952522,877588,113380,-1,-1,-1,14592,-1,297194,110382,-1,824541,864040,-1,-1,169613,130493,442133,-1,-1,-1,-1,-1,587715,-1,-1,340107,697498,-1,-1,481468,235626,-1,804807,-1,-1,586929,-1,744224,519209,266557,-1,212691,-1,-1,-1,-1,-1,502801,-1,-1,-1,891744,-1,274295,-1,676108,-1,175476,801637,-1,346091,-1,169907,414898,-1,-1,688579,-1,74599,766061,-1,815675,450161,-1,65094,-1,794216,678622,931797,-1,-1,112362,351021,397735,-1,-1,756965,-1,-1,736275,-1,128553,-1,-1,935929,-1,376386,-1,-1,928749,808264,630258,-1,-1,80447,426652,-1,9943,-1,-1,43297,-1,-1,-1,-1,357823,-1,-1,78647,337417,-1,-1,979050,705692,512680,-1,259534,-1,-1,981101,-1,-1,618116,-1,-1,-1,727201,52213,60309,242162,199717,-1,-1,962794,808377,722756,265386,-1,-1,695658,147067,534824,-1,466165,-1,-1,21064,380142,364045,14568,-1,501899,948067,338398,736081,-1,297303,761966,435676,-1,-1,-1,23257,-1,-1,702547,749940,574594,-1,-1,-1,-1,-1,-1,-1,-1,420569,-1,-1,-1,-1,983600,-1,234129,-1,-1,-1,189511,602225,588739,746130,-1,-1,739376,573975,412667,198720,-1,-1,-1,-1,956615,589056,-1,331658,-1,-1,495568,253663,-1,827158,-1,534536,828468,195866,80155,-1,-1,222487,951115,-1,-1,-1,728711,738510,-1,-1,-1,-1,757005,-1,794453,987381,879776,-1,-1,27284,-1,-1,-1,178880,851808,-1,977133,320568,-1,-1,947364,665229,715877,200319,-1,798561,559308,648046,-1,724246,327873,394339,-1,396144,942249,-1,-1,644725,467760,208975,-1,-1,656186,-1,-1,358617,-1,-1,-1,87144,-1,-1,-1,361621,-1,764438,-1,-1,27880,162703,-1,904850,676646,-1,-1,804379,-1,-1,-1,-1,543398,-1,237734,469131,221505,740722,-1,-1,-1,977063,886346,-1,-1,691826,83571,533779,706815,948391,620139,620562,756964,-1,-1,671004,-1,463408,-1,445551,-1,-1,-1,-1,100951,413216,-1,434057,834188,-1,621484,735914,-1,-1,474539,398020,-1,-1,-1,22029,-1,568297,-1,-1,268022,-1,900766,280629,-1,-1,-1,18658,-1,866485,915561,-1,421502,-1,551771,902515,629755,81166,451059,835408,-1,153630,-1,-1,-1,400733,-1,-1,582025,955124,607152,-1,-1,-1,-1,-1,280145,399206,-1,501085,-1,-1,-1,513411,751545,-1,56796,868991,-1,-1,-1,473924,515669,203638,541215,-1,-1,-1,-1,357045,-1,-1,-1,384463,81932,-1,-1,-1,111398,868473,946079,902492,-1,917997,-1,952119,391187,490066,-1,-1,-1,-1,-1,701515,-1,417025,-1,126794,847140,348359,-1,-1,-1,-1,597491,-1,-1,535511,461774,-1,-1,106188,-1,995065,727282,-1,383202,-1,953158,104139,117362,918390,229462,-1,573575,-1,589727,425792,-1,871075,160105,342919,562684,665311,541209,117242,632486,-1,443502,689469,796175,988167,-1,-1,-1,199899,5485,273031,233420,-1,262636,-1,836238,-1,-1,-1,732269,-1,-1,-1,185937,-1,121017,998861,-1,-1,-1,-1,266786,172704,-1,-1,-1,750337,-1,-1,839095,834419,-1,-1,-1,-1,-1,408360,-1,-1,926448,-1,581516,918602,693235,-1,153687,204834,607601,98068,-1,-1,646133,251807,780119,777338,560623,-1,-1,386045,914700,-1,109192,313719,442993,-1,-1,982556,706792,634288,544321,219099,-1,-1,-1,508741,-1,-1,-1,62073,574858,-1,928336,612407,115974,818396,176126,681323,503890,-1,140872,-1,-1,113642,-1,631348,714622,-1,92414,-1,798985,-1,-1,499027,-1,48968,639941,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,197568,-1,679829,-1,-1,-1,-1,635421,155847,506381,-1,-1,159308,-1,73324,-1,238540,438531,827354,-1,-1,429948,-1,-1,215232,822955,-1,580764,-1,393755,795902,-1,-1,-1,-1,674368,171908,819992,516026,-1,902267,-1,534218,284414,647095,-1,347988,-1,-1,-1,113309,-1,-1,635243,210965,-1,-1,144245,-1,739431,663444,531636,-1,-1,-1,-1,865956,-1,-1,-1,219818,531176,-1,-1,-1,227402,-1,960053,-1,905233,238459,184021,872892,-1,777318,193668,236155,168117,-1,658304,521499,356784,240743,-1,925921,-1,846221,-1,105651,663262,872180,426649,987101,-1,-1,-1,-1,735134,957950,-1,367815,432184,-1,-1,-1,722197,2516,-1,825039,-1,445423,56344,795334,-1,215213,544253,-1,-1,189249,-1,-1,-1,-1,883995,-1,694677,-1,-1,-1,-1,-1,281645,540743,867547,203824,-1,-1,-1,953249,-1,-1,-1,-1,-1,39861,902539,-1,-1,-1,-1,580226,-1,436605,315601,-1,-1,-1,53731,-1,958228,-1,-1,-1,-1,74675,351192,359870,-1,111948,-1,180027,-1,-1,438995,225277,83922,-1,466176,-1,-1,-1,-1,-1,929281,-1,122991,-1,519801,98359,-1,-1,-1,696309,860110,234786,978496,-1,94810,-1,238278,-1,355276,-1,129524,-1,241008,-1,-1,633772,-1,200278,-1,19054,42486,33471,-1,-1,566160,-1,938700,-1,-1,995403,-1,-1,-1,870243,252376,519888,15845,-1,-1,-1,362562,-1,177451,-1,-1,-1,939277,754042,328592,-1,-1,-1,-1,608935,998349,-1,-1,865349,-1,-1,961165,-1,-1,-1,-1,526374,568392,-1,888597,-1,-1,-1,43156,-1,-1,614117,718207,153203,915844,496824,-1,-1,104185,498109,204661,243919,-1,-1,878745,441446,-1,538125,-1,278322,-1,196390,-1,-1,912736,-1,-1,718488,-1,852620,-1,-1,-1,-1,828608,-1,172348,84876,831247,-1,-1,-1,-1,-1,296954,-1,523932,60212,-1,715013,938653,-1,143985,-1,279037,365642,-1,124590,-1,-1,774539,196074,-1,546746,-1,-1,-1,-1,225166,-1,615093,-1,166097,735137,-1,951559,94793,207769,-1,760270,951950,-1,-1,840914,454098,-1,-1,997082,963586,-1,556353,-1,-1,827640,161006,-1,-1,-1,-1,472391,718456,473113,-1,768100,989157,-1,-1,-1,443390,857970,-1,954021,-1,-1,613675,19927,501887,-1,374021,-1,761545,-1,647093,373602,186434,479983,-1,-1,298306,-1,102781,-1,-1,1363,807775,-1,970580,765426,-1,400374,-1,59578,369316,-1,-1,120604,240505,771569,462161,719745,-1,-1,-1,-1,139109,-1,-1,395079,-1,-1,-1,121111,458267,-1,719075,-1,125774,516691,63145,225618,348185,-1,507468,-1,582580,-1,-1,-1,-1,442749,213221,974332,435873,-1,-1,-1,941790,-1,-1,-1,33864,-1,-1,-1,84511,173289,721562,400506,-1,-1,-1,-1,176456,981432,166038,315043,-1,-1,931719,948306,-1,-1,593713,690394,98050,6468,-1,554985,90356,-1,-1,300188,-1,914684,-1,738526,-1,-1,646741,461714,-1,152443,-1,-1,582771,493103,387678,224634,-1,30486,-1,362775,-1,212568,-1,322209,-1,392037,56125,-1,458704,-1,937352,-1,356624,872082,202752,-1,382079,959723,-1,-1,-1,-1,957886,426894,-1,-1,728190,-1,-1,-1,-1,996986,-1,959927,194957,524797,-1,451069,-1,417003,-1,386208,-1,-1,987085,-1,-1,129535,-1,988221,-1,-1,538928,-1,246527,-1,119503,54132,-1,-1,423899,-1,-1,342604,603273,326206,-1,816104,-1,-1,-1,528306,162171,-1,376755,206564,-1,-1,486432,-1,427069,355171,-1,192475,-1,-1,135050,298676,-1,-1,-1,576050,-1,-1,-1,320095,-1,119303,814227,442267,679270,894538,163576,127557,859499,881377,-1,322010,97447,834847,-1,831972,940446,-1,634119,395148,-1,666917,-1,-1,-1,-1,84859,426562,824891,-1,11207,384243,40366,-1,803224,-1,-1,-1,-1,802046,501330,-1,485379,332658,-1,-1,-1,-1,-1,-1,-1,-1,75438,81491,23406,823286,-1,-1,536850,-1,-1,-1,404318,805113,-1,-1,988699,-1,-1,-1,-1,-1,4795,-1,-1,-1,815376,869504,-1,-1,575515,-1,336057,531912,-1,-1,376453,578323,204133,77570,73985,-1,313814,-1,771362,297058,-1,545146,-1,-1,-1,-1,-1,129375,-1,574016,309201,-1,447543,183532,14804,803271,902556,495901,-1,-1,277111,-1,72485,-1,-1,289267,-1,27516,419230,-1,-1,171786,383297,333744,859068,-1,451483,-1,163724,981593,-1,-1,384785,391287,278246,773192,-1,552027,334256,208240,699548,699744,863137,-1,965134,-1,815717,-1,278420,330396,-1,966006,368242,3332,856389,881962,93241,161656,-1,-1,663980,-1,906454,978105,578020,-1,914266,335601,996279,407081,875389,452922,-1,-1,38525,979945,-1,814057,-1,-1,222481,-1,757780,7561,41296,83554,350666,-1,-1,414285,-1,814165,-1,-1,931668,-1,-1,960912,806759,-1,636837,457818,-1,28318,820150,872609,119137,155017,-1,-1,-1,360816,286847,488653,-1,181480,351012,-1,724495,-1,-1,-1,-1,593560,760549,849388,303842,-1,-1,-1,-1,196673,-1,-1,525277,-1,565275,-1,687262,-1,-1,-1,-1,-1,-1,376659,543125,-1,-1,675431,667100,6762,-1,-1,-1,-1,546501,-1,48632,-1,507368,826431,-1,-1,903871,-1,235412,718910,-1,125914,-1,145734,383618,-1,-1,828527,8386,-1,412399,-1,904206,867791,-1,-1,773090,494008,-1,-1,-1,109971,-1,188353,-1,85698,947219,-1,-1,677345,-1,316091,-1,981284,573469,-1,967240,-1,-1,-1,156634,233116,-1,793643,335225,-1,-1,562363,531036,643842,554160,-1,660856,-1,557757,207828,-1,-1,364630,-1,-1,202810,-1,-1,-1,285706,863540,229303,-1,73040,520862,8278,990658,77832,482492,664303,-1,194215,532849,-1,342948,969821,-1,960284,730443,-1,-1,457012,-1,-1,25600,861657,295328,822291,-1,22026,-1,-1,231817,560954,919182,686543,828916,286648,-1,-1,-1,-1,612983,889847,-1,-1,-1,912770,-1,-1,792066,-1,268566,-1,922117,305667,152281,34163,-1,754492,14540,-1,-1,774147,-1,798132,404389,189763,-1,374770,-1,996185,-1,273722,-1,99253,-1,-1,696493,-1,-1,268346,667818,993222,-1,-1,71195,647954,-1,832872,-1,33448,198342,182155,-1,299352,62566,913337,-1,90552,-1,443165,98526,-1,-1,-1,269141,745759,-1,856380,-1,-1,-1,870279,602938,616692,675086,172025,617312,333093,-1,-1,-1,-1,-1,950468,-1,482702,447422,261721,-1,-1,-1,-1,468333,-1,741163,379096,-1,-1,248235,424338,976437,-1,-1,-1,997545,-1,29751,-1,-1,-1,313767,18145,128340,920962,-1,632446,215946,-1,-1,981628,748005,932196,841005,-1,-1,-1,-1,328806,448040,469715,639190,-1,-1,-1,-1,205479,-1,-1,420108,-1,486347,354137,205724,160954,-1,411517,-1,809798,-1,420248,-1,-1,-1,-1,413838,-1,-1,-1,-1,394919,-1,-1,-1,819842,699662,-1,-1,726632,-1,117983,644226,-1,-1,-1,393572,210157,721040,-1,224913,746650,-1,-1,-1,294802,-1,248248,-1,585311,155400,840234,548487,-1,567721,-1,531054,-1,627185,340291,-1,-1,-1,105989,164857,-1,-1,499535,-1,-1,-1,-1,-1,953453,192644,-1,537313,312070,14747,836281,-1,-1,-1,64124,343529,-1,30294,170825,546216,-1,698029,623131,468581,620495,434476,260516,89876,738422,-1,-1,853993,-1,448466,-1,415763,-1,726689,-1,64311,570029,-1,-1,459730,523382,-1,-1,798699,65287,-1,422829,-1,441378,-1,547537,984469,-1,-1,-1,228843,-1,905816,507577,896037,795012,-1,464259,-1,900721,167349,-1,416384,25834,-1,-1,-1,943533,-1,350657,-1,847547,571364,-1,-1,-1,-1,426319,607100,-1,-1,-1,-1,24413,-1,47418,-1,-1,460874,-1,-1,-1,-1,-1,-1,-1,412851,638420,735095,-1,440869,-1,728494,-1,816311,816440,-1,-1,-1,-1,763260,-1,325358,-1,158326,304345,783754,280374,732718,-1,354651,565241,-1,470277,493454,-1,285472,944595,683622,228973,247075,912798,-1,-1,603359,771051,-1,-1,386216,323661,-1,-1,348801,182923,-1,-1,-1,-1,72111,-1,928233,-1,947980,382018,-1,-1,-1,168274,171935,824952,-1,434301,-1,790119,-1,-1,913940,-1,-1,-1,237457,-1,278767,26589,122149,-1,-1,-1,423812,726511,-1,886171,5799,-1,-1,-1,-1,329862,-1,885140,48306,258,-1,-1,14086,-1,614724,-1,-1,686511,21612,-1,73622,397914,-1,-1,12232,-1,-1,-1,-1,-1,-1,-1,-1,543329,-1,-1,-1,315017,575953,-1,-1,-1,-1,-1,-1,-1,197100,604390,41240,-1,-1,850084,-1,674407,865227,-1,388337,-1,748808,-1,-1,-1,-1,728704,898264,-1,-1,-1,492848,-1,-1,46072,-1,-1,-1,453481,-1,266054,-1,-1,-1,-1,-1,884215,951807,-1,-1,662128,-1,-1,448236,-1,-1,794256,-1,-1,-1,937949,247120,-1,-1,-1,-1,-1,-1,-1,-1,49485,847739,396435,352816,-1,-1,492962,-1,-1,-1,367692,-1,237709,538564,70541,-1,-1,-1,687402,449137,-1,59265,-1,-1,-1,509982,-1,728700,-1,-1,-1,441038,-1,579633,-1,873985,96901,-1,-1,506284,-1,-1,838904,497806,381860,584089,938174,-1,949271,517800,508867,136745,962322,364321,-1,-1,-1,313036,512780,-1,128103,-1,-1,851980,179858,696102,225885,-1,785111,765987,281910,45585,792563,-1,799685,-1,722412,531393,-1,158074,810392,-1,-1,-1,558853,-1,-1,58577,93511,-1,-1,-1,-1,184301,-1,-1,-1,-1,-1,-1,-1,902276,-1,110564,-1,-1,215419,-1,-1,387266,202110,-1,-1,746540,141009,483901,-1,-1,868847,679144,570718,896949,-1,877824,99843,608525,77131,125860,-1,1381,39155,327905,623424,708328,226424,-1,337584,122452,333571,-1,-1,-1,-1,500850,-1,533328,73553,-1,-1,161705,347361,647871,54092,862857,815706,499845,-1,789294,244378,-1,829341,-1,267369,-1,673780,-1,-1,657957,-1,70233,348355,-1,-1,21540,-1,-1,189545,615111,-1,317060,-1,-1,-1,-1,-1,-1,129556,-1,-1,853103,-1,-1,427456,-1,-1,-1,947678,955202,515056,-1,140206,-1,207967,801085,-1,258009,521928,401620,806525,112274,43828,-1,949230,861127,919357,-1,-1,453411,-1,-1,351410,-1,-1,117011,-1,649311,257052,-1,137251,-1,452394,251024,-1,146426,-1,-1,-1,331997,652836,-1,15455,454575,207868,-1,-1,-1,123028,811596,176239,-1,-1,-1,-1,193659,105063,535723,939995,-1,-1,44530,659977,977116,724975,819763,-1,33051,-1,-1,-1,-1,-1,969320,-1,407978,55289,-1,-1,831829,987541,-1,701386,15131,-1,807539,-1,243673,-1,190722,993913,-1,663930,-1,-1,-1,-1,309971,-1,63224,-1,800222,830618,-1,872326,-1,-1,-1,-1,993421,486905,886618,-1,-1,-1,-1,821530,-1,-1,290531,516260,-1,-1,-1,504839,-1,-1,160104,-1,-1,-1,508751,-1,-1,-1,604426,183728,483195,357447,149499,-1,-1,26594,172508,-1,-1,-1,46462,328401,-1,507543,73417,-1,-1,356013,236865,867197,449916,628670,-1,903920,-1,122232,-1,392380,-1,-1,553831,678518,487109,22708,755302,-1,285483,-1,-1,334974,-1,-1,124427,736626,324482,315654,88581,953390,-1,586789,597521,104442,-1,716662,-1,295591,460137,293854,175869,857391,557281,-1,340368,376903,-1,136502,-1,-1,-1,762802,765048,-1,-1,679069,401735,-1,811371,-1,475476,-1,525480,406599,-1,111528,-1,973474,158429,-1,913969,-1,9061,-1,902328,223050,811994,695875,-1,-1,-1,195878,975482,524806,162753,-1,348917,944228,276469,-1,504240,-1,-1,380190,756356,-1,587213,654432,-1,845152,-1,-1,91300,521801,863617,940211,-1,296197,-1,-1,635067,-1,-1,-1,-1,-1,947037,-1,-1,-1,260846,-1,567570,-1,-1,-1,781880,-1,-1,-1,-1,-1,547083,-1,-1,-1,992909,-1,719519,711692,846120,66306,-1,-1,353947,135247,-1,-1,-1,821381,-1,-1,-1,559781,104654,825163,-1,-1,405088,179333,-1,52271,9385,729251,-1,955328,-1,-1,-1,183962,-1,-1,-1,665551,-1,-1,-1,-1,-1,-1,841047,-1,-1,871027,-1,-1,991444,594935,98287,-1,359098,-1,287175,-1,136137,374189,556494,386877,622353,-1,22126,-1,-1,424950,422845,-1,291029,728771,352101,8136,119042,888143,-1,290204,-1,121545,-1,764265,55701,-1,460168,67185,416689,697953,-1,507883,687813,-1,955427,-1,-1,-1,461157,464587,990720,-1,114549,-1,346179,-1,218937,899101,-1,765111,395827,12734,563416,-1,902366,741870,-1,490108,-1,-1,18985,495420,25578,184195,651530,914783,-1,-1,-1,409823,-1,7099,-1,850438,-1,731605,-1,455629,131834,41222,147215,20617,773566,310890,-1,758143,-1,-1,-1,848738,-1,658022,-1,-1,729097,-1,575563,-1,-1,-1,486864,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,338097,-1,-1,-1,-1,-1,342243,-1,-1,624044,865194,144133,-1,-1,-1,599059,929671,230011,141055,-1,-1,768207,-1,-1,495538,494527,213789,539044,-1,-1,279934,280635,-1,545021,-1,396053,238483,614154,114264,-1,-1,-1,-1,122160,63753,-1,-1,265834,745837,469914,-1,486203,-1,766402,-1,-1,-1,778659,-1,-1,824939,447280,467119,585576,-1,-1,-1,133196,-1,-1,840705,-1,178840,279546,659118,-1,452483,839643,904259,433179,646373,770721,269133,-1,-1,-1,-1,747644,949122,-1,-1,-1,-1,-1,169159,277569,-1,505321,-1,-1,-1,762476,-1,-1,382449,-1,-1,-1,755431,-1,-1,-1,-1,319294,-1,-1,-1,185729,-1,911912,563698,-1,732997,-1,401815,37063,-1,582844,395911,-1,-1,61148,-1,-1,714186,698376,346533,-1,347215,-1,-1,272758,721528,-1,-1,-1,31382,-1,595669,678326,-1,-1,778888,-1,-1,-1,856871,56007,895724,254367,-1,-1,408708,2600,-1,-1,-1,-1,948448,110521,938338,-1,604360,628277,-1,-1,641771,-1,135651,265049,-1,443388,-1,62734,-1,81058,-1,-1,-1,669080,329434,-1,-1,-1,-1,-1,514830,75317,664090,-1,-1,-1,803371,-1,-1,434784,-1,-1,777102,909189,321623,989782,-1,111436,-1,477441,-1,-1,982901,-1,-1,334667,-1,859063,-1,-1,-1,-1,-1,-1,951404,-1,-1,-1,574239,-1,-1,956958,-1,557993,310765,-1,-1,213404,423437,242929,-1,-1,948468,-1,25201,-1,-1,940433,433983,825788,356849,690949,-1,322301,631459,-1,415325,432894,-1,-1,-1,173068,-1,622318,105598,547197,-1,157114,578431,-1,444353,739384,-1,794960,891148,292612,-1,-1,643038,-1,-1,359685,-1,186245,-1,464242,-1,574234,-1,394473,528440,-1,472869,-1,-1,-1,-1,544109,-1,678437,406538,-1,141728,-1,-1,551965,-1,827619,521902,534551,-1,-1,-1,-1,691715,-1,860793,104895,149594,-1,-1,837349,637481,136411,-1,583780,-1,-1,828998,-1,-1,-1,477530,-1,288472,-1,410895,-1,-1,-1,-1,449529,412410,-1,-1,-1,235774,-1,800425,226017,-1,-1,869846,-1,-1,67081,-1,99757,430411,-1,-1,303668,229661,642628,-1,-1,-1,-1,544665,208504,-1,870554,-1,-1,159587,168103,-1,748933,304640,-1,-1,-1,-1,169874,921475,-1,618372,977238,-1,910085,566245,301182,-1,-1,-1,763739,645762,128418,632749,-1,24283,-1,-1,964978,-1,267044,-1,-1,-1,-1,-1,938974,-1,281883,998926,-1,276761,-1,491757,-1,-1,112532,-1,-1,696456,149390,932024,337016,-1,599364,544245,-1,-1,567407,579619,-1,240234,725354,51238,-1,402717,304012,-1,-1,-1,125827,-1,373849,-1,25423,-1,-1,316812,-1,935753,-1,201333,637046,398945,-1,-1,693490,517240,-1,-1,880627,-1,-1,481027,205224,-1,977427,305264,-1,-1,579668,266140,-1,560343,126787,220869,121730,-1,-1,613153,455290,-1,-1,-1,-1,-1,-1,-1,-1,390755,-1,328108,-1,-1,99830,291470,889668,981176,736116,-1,-1,-1,419677,-1,220787,130180,809555,661926,161489,868032,-1,-1,971004,-1,845101,-1,44442,-1,-1,924176,797320,995724,573897,-1,820961,-1,-1,-1,-1,624161,-1,127582,145414,-1,2009,837762,-1,-1,667363,292163,946356,-1,-1,753069,-1,764839,130363,-1,289080,-1,627081,456702,702205,-1,-1,-1,322379,46326,-1,-1,-1,-1,658911,960072,-1,110203,501843,328978,32623,-1,-1,-1,-1,-1,-1,193919,124733,212957,-1,-1,691397,-1,-1,-1,-1,343419,954934,536472,695576,744650,151061,-1,387127,635182,-1,599725,24474,-1,602103,227518,-1,218172,-1,348880,-1,185699,327925,174855,322742,-1,782178,-1,390426,-1,840348,853756,-1,988582,-1,-1,-1,-1,-1,-1,-1,-1,-1,421596,-1,-1,424291,770716,124456,-1,-1,640584,-1,-1,630287,567120,-1,-1,-1,458835,898976,-1,835297,103011,-1,471614,470523,-1,-1,766813,-1,-1,-1,-1,-1,-1,-1,-1,198436,861722,744176,-1,589504,788062,-1,762387,-1,-1,716893,655423,188357,-1,-1,57557,649611,-1,-1,-1,-1,-1,205252,-1,-1,-1,-1,-1,-1,494069,-1,-1,-1,-1,-1,849550,520555,-1,168263,-1,602823,450808,633087,267256,64382,-1,290030,613362,146783,-1,-1,134461,93803,242296,143317,-1,-1,-1,-1,-1,-1,-1,-1,-1,759380,49493,-1,-1,450168,-1,-1,-1,97279,285212,-1,-1,-1,-1,18996,-1,-1,-1,729345,-1,899154,50759,531706,-1,212824,-1,438951,-1,-1,348824,-1,-1,577054,-1,605821,235285,-1,-1,-1,-1,-1,928064,84745,-1,479663,203190,-1,593176,-1,105476,453283,558014,849090,-1,-1,886456,80066,-1,-1,174675,697918,838862,71893,-1,-1,-1,411877,674976,-1,-1,25644,-1,-1,809714,759339,731447,931287,430484,-1,-1,-1,611444,104733,442992,880511,-1,-1,-1,-1,911235,-1,-1,433254,154061,84233,7938,-1,57005,717653,154857,984516,-1,797740,127549,-1,-1,-1,-1,-1,-1,-1,-1,-1,32469,-1,-1,-1,921971,779580,174971,-1,183275,228370,-1,739549,471985,-1,841671,-1,256424,-1,727894,-1,455319,192933,-1,-1,812110,-1,-1,-1,-1,-1,765969,-1,701343,-1,845731,-1,599514,-1,-1,-1,440710,419918,845118,-1,286660,-1,630012,367204,-1,812200,-1,811302,942328,622907,792649,-1,472427,-1,857000,-1,555483,-1,821597,-1,-1,-1,472923,-1,-1,-1,-1,932603,337769,493208,-1,-1,-1,-1,671873,-1,-1,-1,-1,812578,575022,663163,-1,649974,360273,571765,-1,266620,254438,366473,-1,77849,-1,-1,-1,-1,-1,606019,-1,345734,-1,-1,579595,356370,856356,876334,618653,-1,185385,-1,805931,-1,-1,342812,-1,829890,440884,462895,-1,-1,-1,912952,-1,-1,-1,136688,-1,777791,181926,-1,896534,-1,-1,-1,-1,315269,640614,466987,-1,567167,65726,-1,-1,-1,-1,256020,-1,-1,925219,600240,114007,-1,-1,701596,801980,277066,632099,145257,773523,881829,508686,611547,-1,-1,962857,-1,815897,-1,698352,210037,486389,619761,413401,-1,834570,166011,-1,750138,69344,639597,688433,-1,-1,-1,641345,297845,764045,-1,-1,376804,243609,39863,377054,-1,-1,-1,-1,235863,-1,-1,977026,796917,759527,-1,703159,-1,-1,-1,508826,-1,-1,-1,80530,-1,624415,136010,-1,918434,170987,986879,-1,192435,-1,-1,-1,627979,70148,728446,358306,-1,238276,-1,320293,833678,905731,988725,307488,-1,-1,804698,-1,-1,-1,97836,-1,254776,579435,754624,-1,-1,556523,74352,542570,-1,-1,87828,-1,-1,-1,578259,291321,-1,-1,35152,-1,269700,775840,-1,-1,-1,-1,349434,117974,-1,-1,-1,888978,-1,-1,536683,-1,622667,-1,49380,-1,414153,261828,-1,647721,871054,-1,-1,-1,582365,-1,-1,845156,-1,-1,672986,-1,883892,-1,534388,-1,-1,732867,547743,-1,720006,460531,325239,-1,3695,-1,-1,-1,911054,640448,882191,888654,785661,255418,851128,999438,-1,631197,303225,235843,-1,682252,642816,170010,489884,-1,681922,-1,-1,976063,-1,387611,932339,-1,-1,279149,-1,-1,-1,-1,100499,-1,690750,114687,229934,429492,-1,-1,-1,-1,-1,845150,-1,-1,315802,-1,-1,-1,-1,-1,-1,-1,-1,-1,401943,-1,970917,-1,948624,833870,-1,-1,-1,198888,-1,-1,41887,448328,628419,-1,-1,-1,172416,-1,802633,798741,-1,-1,262555,63447,780561,695452,-1,341558,-1,-1,-1,-1,-1,796678,-1,-1,-1,-1,-1,106682,-1,-1,606253,564437,-1,-1,-1,-1,-1,-1,-1,175779,-1,-1,-1,18352,-1,-1,778526,176418,745891,391338,519295,-1,-1,-1,-1,156356,553982,440846,-1,-1,235884,-1,-1,272767,-1,-1,918422,234447,-1,618483,312725,628131,710799,-1,-1,177567,827758,589591,260618,-1,687944,660881,-1,-1,-1,-1,-1,-1,-1,233891,977255,-1,-1,756255,-1,288880,695959,185226,128196,-1,255049,575752,796204,980089,-1,129291,552682,413737,457112,-1,-1,327680,419129,623524,-1,-1,620066,674525,-1,345042,-1,161132,-1,-1,902798,875674,-1,407847,786415,59452,98363,345573,-1,145299,16402,813664,608281,90205,-1,620897,75099,-1,58361,106208,970628,-1,627671,-1,-1,13848,901288,-1,984900,920514,-1,371942,212851,875684,239830,719136,207299,278575,41484,-1,739456,206502,-1,-1,-1,-1,-1,502332,-1,-1,-1,-1,237228,-1,-1,-1,486596,474556,357653,578898,970967,945974,-1,-1,673017,-1,-1,-1,428097,-1,-1,665972,-1,4071,233498,-1,625647,524082,-1,130728,-1,351997,-1,993097,-1,-1,-1,-1,544738,325057,1709,40235,-1,-1,-1,695394,274512,167691,-1,275313,455614,-1,-1,-1,-1,208487,122095,-1,-1,901091,157762,290689,828743,833413,-1,774756,922767,-1,977637,-1,-1,43142,-1,-1,787273,-1,-1,786125,246819,997252,-1,455597,-1,901162,713299,336619,-1,810942,-1,-1,577471,-1,902983,54509,-1,106366,-1,-1,925518,97787,-1,744697,-1,774355,-1,661857,961913,233811,-1,-1,102652,-1,-1,933462,-1,914574,952123,-1,4721,419055,76542,-1,572538,761895,-1,938988,-1,769309,836451,-1,734935,-1,-1,-1,-1,738995,236235,-1,-1,450992,680667,907051,40668,-1,351229,-1,-1,1738,-1,-1,244411,947213,198921,452891,300872,-1,-1,758392,-1,-1,-1,305182,-1,-1,-1,274478,879006,-1,787870,-1,-1,-1,708419,-1,573175,911411,164621,-1,291538,544811,606596,-1,761198,938334,824601,392774,635826,559608,-1,-1,-1,119162,582660,566462,-1,568216,-1,304812,953428,199274,107742,242640,-1,-1,241352,-1,-1,534736,473455,879824,536757,655069,346747,-1,71631,-1,-1,-1,703126,-1,424957,686895,799736,-1,685151,-1,639169,571935,-1,-1,616376,-1,625981,545809,888098,-1,736473,-1,-1,-1,-1,-1,71093,238524,737866,933332,149662,-1,693707,139740,-1,273803,140273,794366,680278,-1,160879,-1,-1,743738,-1,434731,-1,-1,360892,612165,-1,827945,630613,975256,876913,661051,-1,-1,-1,-1,-1,-1,342412,-1,454489,-1,-1,-1,783808,-1,758929,244095,-1,283478,144818,620550,226301,-1,-1,261513,-1,-1,496472,-1,430764,339250,958941,437840,-1,701633,-1,727160,644713,991095,-1,758832,651383,614531,-1,768597,-1,-1,-1,264758,484154,-1,510506,-1,220109,-1,-1,-1,140713,418160,-1,-1,673336,-1,720124,-1,910654,499784,83193,86158,276978,759381,781405,-1,335849,-1,851475,-1,955527,-1,-1,-1,286936,482550,-1,-1,205616,626050,-1,-1,-1,-1,-1,362856,443540,-1,404224,550461,-1,-1,145265,-1,72993,76028,532289,-1,-1,101835,-1,-1,-1,-1,488252,796412,134957,674862,798295,783973,-1,424949,952648,913704,-1,538001,-1,-1,-1,890909,-1,-1,851834,852619,-1,722160,490272,702533,-1,-1,-1,452160,-1,286429,36543,231329,-1,-1,331780,989137,623268,-1,-1,822017,920666,745871,-1,505398,962887,996181,-1,-1,486918,-1,761834,-1,94287,716080,-1,788554,-1,373138,-1,682287,-1,199353,325158,700784,-1,-1,-1,592029,-1,614950,-1,-1,994156,-1,963434,28121,-1,-1,-1,-1,841559,-1,-1,915752,456891,-1,128425,635567,-1,-1,746715,558067,-1,-1,182309,796297,206301,-1,-1,204123,947455,666462,-1,-1,965888,846363,726186,688843,573845,831911,30725,708267,-1,452928,150352,498758,-1,231986,-1,22387,-1,-1,-1,759861,34909,-1,465536,-1,85462,325312,-1,-1,-1,-1,713891,-1,36705,702827,-1,-1,-1,834705,-1,-1,-1,-1,314015,995159,523806,781965,744020,783447,764743,-1,-1,912905,-1,581871,-1,237137,-1,-1,642565,994589,378160,715384,159074,-1,-1,187075,-1,862730,221134,766218,-1,12827,-1,-1,-1,382036,200788,877296,-1,884714,-1,402159,876917,-1,-1,550523,249875,379337,905904,977870,219728,-1,-1,-1,76871,-1,-1,477831,291164,-1,-1,-1,163140,685473,886495,-1,-1,411648,823271,674645,406952,-1,-1,385486,563854,-1,425851,-1,614283,80777,72968,-1,-1,755489,-1,673543,342559,641874,-1,-1,587450,-1,-1,-1,111343,-1,-1,-1,342915,471032,581135,968542,410631,876581,424559,-1,-1,-1,-1,-1,73333,437110,-1,972434,-1,-1,34479,-1,207480,-1,446439,747593,457172,-1,-1,-1,-1,-1,-1,479772,281850,784951,-1,50709,-1,210283,122157,-1,39024,-1,768510,-1,-1,-1,-1,342608,-1,173250,-1,-1,955360,-1,-1,745592,-1,-1,-1,166999,-1,681995,144570,792987,5592,87932,-1,-1,640497,485553,89085,242438,446628,223525,-1,-1,-1,-1,651513,996032,-1,20993,790951,535712,-1,741184,943934,-1,-1,-1,-1,550348,-1,-1,38734,568241,-1,-1,-1,-1,-1,-1,-1,116332,-1,327114,-1,-1,-1,908899,63424,426888,420562,571443,-1,-1,454019,320211,-1,-1,-1,704109,253728,133583,-1,-1,-1,-1,355802,252510,672525,-1,-1,987454,-1,37142,959793,874523,499030,834390,213324,828802,-1,-1,-1,376548,185533,-1,-1,-1,565791,-1,249506,985535,11300,748375,37576,776656,111018,64905,-1,414330,556489,-1,154847,915644,388385,650943,277703,-1,89201,-1,474313,569297,585567,462723,151872,400666,60821,-1,498764,-1,984819,270260,-1,55173,-1,-1,398087,-1,862445,973822,243794,-1,574325,-1,-1,-1,28830,864991,205900,168307,-1,981763,-1,836485,926269,315555,665640,894933,174401,585232,153045,631744,719473,-1,-1,244405,-1,-1,-1,-1,-1,-1,565184,-1,581897,866076,300301,622501,785650,262091,705828,561289,362517,-1,-1,625646,187733,-1,845942,55480,21309,877674,631903,758233,668749,308895,-1,981907,815952,935900,-1,-1,775883,442876,547957,-1,-1,303559,229919,881515,719824,338950,-1,-1,-1,850295,-1,-1,865900,696327,-1,-1,-1,176705,815409,-1,-1,303339,-1,-1,-1,703719,533129,450496,635875,-1,-1,540820,-1,-1,-1,504003,-1,234183,-1,421317,-1,-1,-1,886421,903048,-1,78482,-1,997316,-1,-1,-1,493334,-1,402945,159568,803276,-1,-1,102352,992591,370904,-1,737943,-1,239869,685133,955780,730381,-1,-1,-1,-1,-1,-1,-1,623399,481720,-1,-1,858492,730683,-1,972252,-1,-1,456342,-1,-1,-1,377359,-1,-1,692156,367235,499606,-1,312206,-1,260471,670401,-1,-1,-1,378929,-1,-1,-1,133859,354909,291842,395754,147722,719776,-1,-1,-1,-1,-1,-1,-1,-1,-1,611923,-1,-1,-1,-1,-1,578306,606696,-1,312818,743286,387311,54391,-1,-1,-1,201194,-1,681619,327048,647122,-1,680492,569131,-1,-1,453652,-1,-1,54220,-1,969880,786067,-1,-1,372813,3280,125162,632608,254114,964935,878990,-1,38607,-1,795305,-1,-1,-1,-1,531913,389933,-1,612929,980491,-1,999616,-1,-1,750057,-1,510594,13883,-1,580790,554411,768827,517339,454026,878445,115429,-1,-1,777334,326190,-1,818192,422663,898459,53732,757397,80029,-1,916567,-1,804167,-1,710358,350689,361690,-1,189327,-1,-1,89252,267953,-1,507785,531943,427187,-1,-1,132853,227945,817858,94035,-1,379105,382731,941932,-1,-1,73628,-1,-1,865046,-1,-1,707004,673452,-1,-1,935303,711450,-1,756373,-1,746207,-1,611764,262906,-1,-1,978906,942742,231840,-1,725473,856235,786774,753700,-1,579598,936363,-1,708952,-1,-1,582689,521592,255401,863019,-1,-1,52241,718170,-1,-1,613401,-1,-1,-1,88674,55673,-1,-1,338043,969200,517076,-1,-1,-1,-1,-1,-1,-1,948897,865701,-1,68480,-1,512376,-1,793779,-1,-1,-1,673962,15749,-1,-1,-1,-1,-1,405663,-1,638616,-1,626519,168182,960699,-1,-1,310396,524294,-1,612265,-1,137429,681428,322609,669724,642379,-1,-1,142512,874492,63593,401727,-1,-1,202692,-1,110518,734228,-1,402380,-1,-1,-1,-1,-1,-1,980455,302508,105755,-1,-1,40286,244692,-1,-1,-1,-1,164812,796210,583303,-1,-1,388042,-1,-1,-1,205518,-1,-1,-1,81937,642938,-1,201458,-1,131963,-1,-1,-1,549469,-1,629783,-1,396050,-1,136827,579557,-1,930329,801220,-1,-1,400186,891391,-1,677715,-1,18069,-1,329796,-1,86101,545317,-1,997048,992573,-1,-1,-1,-1,-1,-1,-1,604589,-1,267700,-1,599353,130037,-1,-1,873891,-1,-1,690473,512838,371755,328984,-1,-1,-1,956391,-1,-1,-1,432914,701901,14890,-1,-1,-1,-1,326624,-1,-1,-1,-1,98445,-1,-1,580781,974723,317680,84532,947748,-1,-1,-1,-1,116664,-1,95595,-1,111576,105922,638682,107302,-1,-1,460543,-1,673990,-1,181303,-1,274359,223165,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,864631,-1,441072,-1,463541,-1,506887,-1,159406,-1,168787,-1,411461,-1,476407,528546,844083,-1,-1,951710,-1,459102,-1,-1,-1,-1,-1,-1,-1,-1,-1,830744,642916,833187,-1,-1,205995,-1,555527,365331,-1,-1,-1,-1,-1,934932,976856,-1,919792,430554,-1,-1,-1,-1,79872,-1,666032,75923,352435,-1,-1,-1,831169,-1,-1,-1,-1,-1,300578,-1,787892,-1,-1,-1,891482,-1,-1,-1,408080,-1,408408,-1,223047,-1,-1,-1,-1,-1,-1,449089,-1,-1,-1,-1,12404,565424,-1,-1,-1,-1,210997,-1,-1,-1,163160,-1,-1,-1,266712,-1,-1,277727,856488,-1,-1,-1,-1,-1,385565,663302,-1,633069,-1,965149,-1,-1,-1,-1,-1,-1,577571,365985,384059,553127,940178,-1,744417,948332,599877,231314,-1,-1,-1,478842,-1,714750,-1,816982,-1,206527,225249,554454,-1,-1,269421,194308,-1,-1,-1,908660,-1,627918,-1,131522,483611,511431,20512,-1,-1,549174,304443,-1,-1,-1,-1,887292,324643,-1,-1,-1,409170,-1,648510,-1,-1,-1,-1,642647,-1,970131,743453,166823,-1,48888,-1,27234,802684,500087,746716,-1,-1,-1,-1,-1,201262,-1,646035,-1,961365,766958,315231,-1,686231,924145,714998,-1,-1,-1,-1,816527,307920,-1,-1,-1,149500,-1,185515,697472,-1,56920,68790,389395,-1,502980,-1,-1,-1,-1,955375,291143,436326,780376,232178,842314,-1,636828,-1,381764,138877,237490,514700,495453,-1,118130,75504,-1,-1,-1,-1,-1,-1,842608,-1,-1,476147,-1,358273,841665,736357,-1,-1,-1,-1,-1,-1,-1,61508,-1,-1,667379,917839,929408,545079,177838,924942,-1,-1,-1,-1,39749,-1,14688,64535,566069,-1,884615,113569,190142,582128,929418,-1,-1,843946,-1,-1,-1,160505,-1,-1,-1,-1,871066,-1,-1,-1,-1,-1,272962,184186,837783,-1,932208,-1,-1,-1,-1,-1,399281,-1,750579,-1,-1,579666,-1,-1,-1,266344,244030,854402,297874,267583,344559,672082,-1,-1,-1,-1,-1,641831,93026,-1,-1,734403,564085,-1,-1,-1,239791,-1,880527,546590,99595,110306,407493,-1,-1,191299,-1,664668,-1,-1,-1,-1,568548,-1,446423,272566,-1,-1,-1,825056,-1,-1,191192,-1,-1,-1,910887,954197,218333,909054,554369,-1,-1,-1,106926,-1,762250,413213,400851,892414,98922,867538,-1,-1,-1,135579,-1,269433,-1,-1,-1,-1,-1,520449,-1,-1,-1,-1,354164,351295,-1,151444,42682,501338,278231,-1,-1,129823,-1,642223,-1,-1,360258,-1,331618,-1,386917,849838,-1,-1,563702,965906,56454,794996,144284,-1,-1,58383,714454,233696,-1,333244,-1,-1,-1,-1,-1,118556,94872,-1,322534,-1,-1,300938,335608,802812,268905,83658,-1,391007,-1,479527,-1,202172,231520,264539,512681,572164,-1,54276,-1,-1,-1,538118,-1,-1,-1,862381,461846,66343,733795,-1,-1,8332,-1,-1,-1,649795,690569,203645,565591,-1,292708,-1,-1,-1,895842,745036,874079,464902,211812,568190,-1,625098,-1,-1,-1,255456,911100,61279,570975,-1,765392,-1,510499,15983,-1,369070,-1,892833,-1,763173,-1,159040,-1,-1,-1,-1,-1,-1,800512,-1,984559,451743,509862,-1,-1,-1,740823,349773,-1,-1,-1,573300,-1,436604,-1,-1,799212,900642,-1,25000,-1,851909,-1,546909,-1,-1,461591,580614,139420,-1,252075,495155,-1,-1,-1,729650,868543,980583,543478,-1,-1,-1,107987,784538,-1,687213,-1,-1,-1,730488,191264,290576,755321,-1,786861,266898,335316,-1,-1,895594,-1,-1,728158,597349,995526,-1,-1,-1,-1,467598,-1,-1,280859,-1,440210,-1,530497,118031,-1,-1,219846,-1,560369,384134,-1,198859,-1,-1,-1,232017,-1,-1,535205,584899,-1,-1,994053,-1,-1,223988,-1,-1,285256,-1,-1,519746,-1,386423,837577,-1,-1,500812,-1,-1,-1,585796,-1,-1,855340,-1,-1,-1,-1,-1,-1,-1,870536,767333,400900,829525,941721,-1,-1,-1,-1,529000,856449,936259,-1,381816,-1,736264,-1,857947,501410,419081,-1,854937,920160,-1,-1,-1,653546,819005,865492,-1,-1,960732,-1,418530,-1,-1,-1,710707,-1,429064,-1,840780,759365,-1,-1,-1,613570,129244,-1,-1,-1,-1,-1,32398,-1,-1,10821,-1,164276,-1,430079,-1,-1,102565,447489,-1,-1,409299,-1,139487,298296,-1,-1,-1,931754,-1,-1,-1,-1,-1,-1,995529,169956,903899,-1,546224,-1,340703,-1,-1,765821,-1,573130,810946,744969,279823,-1,-1,775186,12033,663874,228003,519501,-1,-1,68219,174706,-1,-1,-1,607220,-1,-1,875269,-1,55988,623450,-1,210908,626908,469967,486660,-1,741614,-1,-1,-1,696567,-1,260257,-1,-1,-1,39200,476226,-1,-1,485636,603998,839438,7704,-1,894189,-1,-1,696398,963192,-1,920886,546465,308558,-1,-1,-1,28689,114134,-1,-1,476298,473643,371089,45922,-1,-1,40635,-1,619241,-1,-1,997912,-1,-1,692408,-1,-1,-1,903021,-1,-1,591796,-1,262811,735080,3920,-1,-1,-1,999738,-1,-1,352799,214330,484955,944338,826986,-1,-1,-1,250213,12274,-1,977823,813004,-1,882679,-1,-1,540267,678008,798281,325453,484582,-1,-1,-1,-1,-1,549806,-1,-1,-1,856720,-1,110791,833627,-1,142826,601426,725649,228830,-1,798580,988839,673028,721559,-1,-1,138145,-1,-1,295203,-1,-1,323500,-1,-1,831940,-1,543740,-1,8821,774754,512345,145258,-1,318993,935842,945997,-1,324625,-1,-1,-1,-1,959953,-1,11741,-1,659812,-1,872349,598910,-1,69508,85988,579427,-1,-1,-1,535226,-1,-1,-1,-1,649963,767390,-1,239167,-1,136972,-1,-1,-1,-1,-1,-1,-1,707579,-1,419029,-1,421550,555846,-1,860161,12546,-1,-1,919615,398505,451632,-1,-1,612510,624919,-1,-1,-1,733702,-1,831938,422872,-1,-1,857781,773682,-1,-1,-1,920782,-1,611450,45855,-1,717575,495326,-1,-1,238725,-1,-1,949071,-1,168432,353890,589441,-1,907552,184853,218229,-1,-1,-1,-1,663716,-1,132422,-1,-1,-1,368935,-1,255082,-1,2327,-1,417549,166832,-1,-1,555924,807481,-1,911688,-1,-1,834413,-1,627742,-1,-1,-1,78625,352128,772877,813915,-1,-1,-1,345204,-1,484347,243071,-1,-1,778077,943160,-1,-1,66396,-1,-1,202096,359918,977267,-1,-1,-1,370385,593623,660284,340557,-1,-1,-1,-1,-1,92595,-1,-1,844604,172841,981162,-1,318024,-1,-1,-1,455132,-1,473810,-1,302672,268679,-1,-1,506225,-1,670306,-1,-1,177170,-1,413489,-1,950730,-1,-1,-1,852995,477059,-1,-1,-1,-1,-1,-1,134049,581836,648845,734286,918209,880951,-1,44673,-1,670447,-1,59546,915329,40086,-1,899489,61037,-1,538025,542325,651832,-1,516637,14656,606160,-1,529185,784499,-1,328908,820919,-1,99432,-1,119979,227702,-1,254891,-1,-1,-1,198865,21374,-1,-1,799209,313409,269205,-1,52962,-1,928262,-1,-1,874365,-1,-1,-1,-1,-1,-1,276333,-1,-1,-1,220076,287620,-1,3918,631551,-1,443643,472079,537096,-1,-1,-1,923324,43181,-1,-1,-1,179411,468340,188639,-1,-1,892446,-1,-1,392922,-1,-1,514085,233080,152769,28406,68028,-1,358674,-1,638690,-1,493944,-1,-1,-1,-1,127733,852928,515422,56155,-1,754433,-1,-1,71205,-1,406876,63789,-1,-1,135471,-1,-1,-1,760929,-1,602685,-1,-1,335517,-1,-1,59911,-1,-1,-1,132836,302131,-1,441025,-1,745101,385239,-1,-1,-1,587185,196128,-1,91904,69034,-1,-1,-1,298160,-1,494565,971687,-1,-1,-1,-1,-1,233060,-1,-1,-1,483650,720373,450985,-1,-1,-1,158296,-1,-1,-1,-1,-1,-1,718626,802923,378705,589097,246201,617999,-1,-1,464530,436432,55157,366882,-1,-1,191138,-1,481373,198753,976543,-1,-1,-1,72547,346050,248265,-1,547760,962156,272880,12073,-1,666221,-1,638551,533338,975831,346092,-1,-1,-1,572126,-1,949894,-1,815721,-1,-1,22452,-1,-1,344908,213015,58387,409267,-1,346955,90854,487131,-1,-1,-1,506066,504008,-1,261110,59060,-1,-1,375282,769270,379994,931,-1,-1,-1,-1,-1,30751,338477,969635,-1,-1,-1,883789,-1,-1,652539,659424,-1,246616,-1,869234,-1,-1,931340,-1,-1,759967,404958,-1,-1,-1,-1,-1,280189,307316,278983,-1,754544,-1,-1,-1,770763,-1,386886,564854,966183,860920,821243,818826,-1,126127,325597,664755,-1,320824,-1,-1,-1,-1,892386,438701,-1,-1,464159,617542,507155,-1,-1,169299,529550,-1,665557,292435,851403,-1,681450,775251,977865,992066,-1,484138,970047,279814,254161,3334,160460,-1,-1,340585,104398,-1,-1,-1,454995,726046,-1,201720,647312,217558,277427,-1,-1,-1,362922,799800,248783,371076,24682,-1,509740,374351,-1,577454,394679,-1,-1,502929,272371,-1,-1,246824,745943,154278,-1,-1,-1,188458,683963,281810,-1,-1,355429,-1,-1,-1,-1,-1,-1,-1,-1,136505,-1,596258,-1,477333,-1,83796,-1,-1,299221,947779,-1,299268,74698,-1,872316,-1,-1,543132,-1,-1,533658,604204,735129,-1,550358,-1,-1,-1,-1,-1,270945,595856,41915,703453,-1,91494,-1,-1,-1,916650,155852,-1,-1,692949,-1,618522,938887,237359,-1,-1,-1,424306,507867,-1,575006,-1,450558,-1,-1,-1,429558,-1,-1,-1,-1,-1,345316,-1,594985,-1,-1,805360,891067,831607,194202,-1,-1,132863,-1,775563,-1,423861,853154,-1,-1,787813,680037,666966,-1,-1,-1,-1,-1,534476,-1,973089,269037,27968,-1,-1,-1,-1,56888,282485,-1,992762,-1,-1,231578,-1,678461,-1,-1,-1,538170,-1,-1,783777,-1,794616,-1,-1,252706,288869,-1,168462,-1,348226,-1,-1,-1,500193,-1,-1,-1,954228,82911,784321,-1,635751,278586,-1,-1,874349,-1,-1,6808,-1,-1,764698,-1,-1,383326,-1,-1,318048,137933,372269,191063,75495,390317,-1,912760,511743,-1,832679,-1,446806,362111,-1,-1,-1,-1,-1,811526,-1,852335,273938,-1,846007,908194,124734,-1,-1,-1,118267,-1,-1,774335,-1,-1,182307,-1,405317,-1,-1,77718,141627,384583,-1,644088,355789,-1,-1,918721,727624,-1,-1,-1,-1,-1,617971,-1,551540,153331,-1,978926,583987,-1,654753,-1,778249,152844,-1,787973,155339,95298,-1,135342,206262,-1,206808,234749,-1,-1,3825,746167,-1,814030,55670,705178,-1,-1,671666,876005,973922,-1,-1,127030,-1,-1,281527,934569,-1,-1,-1,498143,756275,562704,-1,-1,293237,-1,-1,-1,-1,-1,-1,-1,695449,134621,492018,-1,-1,397270,106494,109985,-1,939955,90765,297071,857645,-1,-1,519519,-1,312150,942309,-1,426777,-1,-1,346461,-1,603512,-1,220085,219414,307680,-1,-1,-1,503354,856078,-1,11137,840245,-1,850425,-1,-1,-1,-1,-1,-1,710153,846827,845264,62536,-1,877129,-1,373286,534275,572294,183464,-1,932345,538523,595919,874691,-1,763389,-1,-1,-1,528725,-1,402826,-1,979219,117320,-1,-1,-1,667277,271647,812163,440374,-1,-1,-1,321388,162599,157154,-1,-1,113760,-1,-1,831393,-1,-1,320060,181209,842646,510090,207092,230556,488636,694970,376463,-1,-1,989921,-1,-1,-1,299859,231816,-1,-1,-1,651094,813657,413069,-1,286797,578590,-1,935508,-1,-1,788864,772106,-1,-1,645267,801638,926318,-1,-1,921067,484005,-1,133066,158827,389704,570835,307955,171567,855298,563451,-1,31969,-1,7572,503836,-1,749569,-1,510805,-1,711152,209018,-1,-1,-1,304189,379255,103066,-1,447516,482849,708896,114261,-1,490181,230243,270115,-1,903609,-1,159779,561921,344565,328866,-1,-1,86806,707310,-1,-1,463132,-1,-1,228087,699629,163628,-1,863219,733762,-1,326400,-1,-1,663796,-1,438384,558595,-1,426028,-1,886422,-1,434259,448902,-1,997049,-1,-1,-1,863054,-1,-1,-1,-1,-1,-1,436063,-1,-1,689712,-1,-1,-1,-1,256047,939936,683590,696478,-1,-1,122601,748155,340460,-1,889424,542000,-1,625214,4660,346031,-1,732069,189419,335435,64738,-1,603315,543711,-1,211141,3255,-1,941309,444409,-1,-1,-1,549127,-1,557254,164446,-1,-1,510083,7059,-1,-1,-1,-1,159705,-1,871673,-1,916844,29171,225015,262391,-1,-1,-1,-1,-1,319424,51641,245456,123287,-1,526056,88829,-1,-1,789441,-1,815248,482439,-1,664149,-1,-1,586698,-1,-1,-1,-1,-1,417826,941631,840905,-1,-1,-1,-1,-1,732774,-1,-1,601826,391258,223571,-1,-1,-1,-1,-1,-1,-1,765404,518089,444012,-1,374952,660898,-1,-1,228354,834679,-1,-1,-1,-1,166235,-1,-1,-1,909690,-1,17425,-1,-1,-1,-1,538723,-1,748791,679035,694042,-1,-1,-1,-1,827270,94718,-1,594744,123719,-1,-1,704660,800416,-1,-1,-1,-1,-1,-1,312603,330020,36234,-1,-1,-1,-1,34501,-1,803134,-1,-1,-1,830133,5609,38405,83370,-1,129342,-1,366652,-1,-1,166720,561508,-1,-1,641121,303824,411408,654517,660635,553333,870341,-1,-1,406801,550941,495365,-1,-1,700517,423478,-1,354363,225455,-1,27399,-1,427712,-1,116160,-1,656380,-1,-1,-1,-1,151563,404655,610575,127048,164667,-1,446951,-1,164037,686945,226860,-1,-1,354634,-1,-1,-1,-1,393269,-1,-1,480571,946129,815532,-1,-1,-1,-1,953203,-1,278470,-1,-1,581675,-1,759325,-1,361557,-1,362683,168400,-1,-1,-1,-1,-1,142390,575123,569961,-1,-1,706086,482432,676311,-1,-1,-1,419804,-1,-1,-1,-1,-1,-1,-1,809492,853451,-1,-1,12380,832612,202886,-1,-1,-1,-1,-1,239609,-1,544871,608701,310717,190169,-1,-1,361499,425021,153226,-1,-1,164399,-1,725572,326936,-1,278499,-1,-1,260949,-1,-1,-1,-1,-1,389449,991397,253300,657985,-1,873887,-1,-1,-1,363675,-1,-1,-1,191353,765202,-1,555421,-1,846565,-1,-1,-1,716331,-1,575925,-1,-1,-1,458616,-1,801892,828994,-1,-1,642811,581512,745777,-1,-1,-1,-1,377419,833443,152407,741252,745051,757964,40429,145312,185538,586607,629727,-1,445401,-1,385573,259296,279047,-1,-1,525594,728586,84190,510117,837564,642762,-1,738317,876990,-1,675080,-1,730633,-1,733091,-1,-1,-1,-1,-1,-1,-1,-1,76790,-1,312876,739580,15189,704876,-1,743809,-1,-1,197545,-1,64582,120816,-1,-1,750169,592621,-1,-1,-1,-1,526818,286856,-1,-1,-1,-1,-1,-1,789740,-1,-1,-1,803438,979565,527470,-1,868676,-1,-1,640018,-1,510595,695969,904509,-1,812613,187667,188078,326505,751667,-1,540346,-1,343888,-1,515155,-1,491289,-1,-1,-1,-1,976011,-1,38347,965084,-1,941505,747176,-1,113173,-1,488911,-1,-1,39142,-1,729922,334533,-1,-1,-1,-1,765260,-1,231180,-1,-1,-1,424765,-1,468649,-1,-1,492235,534631,814745,-1,112450,-1,-1,-1,564528,241823,121157,-1,-1,-1,-1,-1,156293,816164,238292,664421,-1,-1,582053,831893,-1,297445,-1,-1,-1,606026,773920,956861,-1,147936,-1,531080,-1,-1,559945,17582,-1,160551,-1,940566,87165,-1,-1,-1,346376,-1,356175,287914,-1,-1,-1,-1,-1,-1,850327,302755,491151,786912,526325,642968,-1,51663,302140,378576,-1,822647,132264,-1,-1,-1,-1,262543,392446,594702,944145,-1,-1,-1,-1,-1,144713,-1,-1,193718,717161,258982,-1,855113,972618,-1,-1,-1,-1,-1,484896,-1,-1,668369,-1,-1,737017,287544,-1,685186,-1,402618,-1,915509,-1,288032,114516,-1,-1,-1,750747,150810,307263,-1,603607,768124,180129,-1,-1,-1,-1,-1,186118,-1,-1,-1,-1,-1,-1,-1,941236,-1,-1,255580,-1,-1,970039,686666,48009,-1,738806,-1,-1,957909,-1,987376,585210,160199,-1,-1,-1,513038,32595,-1,-1,401637,-1,756817,-1,507147,-1,-1,878364,-1,-1,-1,-1,638836,934533,689894,355852,610173,-1,-1,-1,943925,440797,-1,39962,-1,-1,559929,-1,942293,-1,885191,-1,-1,147155,756555,-1,-1,-1,667034,592272,839433,-1,-1,948637,-1,896033,-1,-1,784164,260945,-1,266482,-1,59862,189112,-1,792616,-1,338875,-1,-1,-1,-1,872069,305417,-1,298420,-1,89874,-1,-1,170160,-1,439232,34907,129795,-1,-1,-1,-1,981556,-1,177156,845534,669226,816811,-1,-1,133012,-1,521000,427363,-1,27198,64816,175800,206618,934626,313819,562488,535036,671839,-1,686535,465897,482902,124764,888490,453936,-1,448074,-1,-1,923962,-1,-1,754122,784748,-1,-1,-1,839439,-1,241026,718736,990335,361193,741440,879149,-1,893103,-1,439600,895649,-1,719543,838019,-1,949299,668277,-1,206355,-1,953353,331225,-1,405910,632756,-1,91790,-1,-1,996865,247210,-1,-1,285006,-1,-1,-1,550419,859609,335133,-1,-1,-1,-1,-1,-1,467894,473789,-1,125248,500318,-1,-1,290941,-1,461749,-1,634933,819286,-1,824383,-1,102309,-1,-1,-1,-1,633244,-1,-1,-1,-1,954642,-1,-1,428575,-1,288833,-1,-1,222533,-1,578669,928743,-1,-1,-1,247129,529149,96675,-1,327224,395601,972934,-1,-1,-1,-1,-1,-1,-1,513377,-1,-1,-1,-1,337439,-1,42691,-1,464505,583827,-1,884733,-1,90507,-1,104386,-1,-1,190663,-1,173490,609210,-1,-1,858791,375512,-1,762824,-1,-1,-1,217940,-1,-1,4854,682152,700799,828085,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,348799,-1,-1,-1,499182,130842,-1,-1,-1,-1,228967,-1,387180,254799,-1,150517,407284,-1,378007,50517,-1,-1,-1,377867,530832,405709,-1,795352,123029,715910,-1,811148,744367,477318,-1,-1,560755,-1,-1,408003,-1,737561,-1,474140,-1,-1,725821,-1,182297,14948,-1,-1,-1,694622,-1,96600,176731,-1,89270,213560,-1,-1,504082,-1,-1,-1,507344,-1,798246,-1,107972,-1,-1,736085,-1,580033,-1,-1,648487,-1,-1,-1,352311,892624,-1,978423,497118,-1,-1,951264,25956,-1,988553,73373,404552,408955,-1,-1,651715,474368,-1,-1,-1,-1,-1,900797,285749,-1,228008,46749,549589,-1,525102,976284,-1,682067,321338,-1,-1,-1,856649,848806,931117,940384,501613,63570,-1,230173,-1,614297,494113,-1,-1,743984,796403,695100,-1,-1,184376,-1,555617,-1,480267,-1,-1,-1,-1,675579,-1,-1,-1,-1,-1,-1,731205,710522,542485,-1,-1,-1,986462,-1,-1,405842,865751,-1,-1,-1,-1,999773,-1,486017,-1,1711,272503,-1,-1,606151,-1,968135,656855,258568,481396,352191,-1,436373,146444,-1,248831,-1,221571,838864,-1,251102,183524,945168,-1,783337,-1,-1,939162,930728,-1,-1,-1,571286,966556,332874,-1,155474,-1,-1,-1,-1,-1,519343,145219,451232,4618,-1,-1,-1,946083,73904,601840,-1,819652,-1,125875,-1,-1,315257,851837,-1,274720,-1,447201,-1,954717,528020,-1,-1,-1,388872,620808,-1,127236,-1,790028,-1,-1,72705,-1,-1,-1,173953,-1,924454,-1,-1,557143,-1,-1,496916,696300,-1,-1,877049,160023,568099,-1,444767,870347,344877,64834,587822,69850,-1,-1,577140,-1,346468,-1,-1,978026,185035,-1,226626,344665,-1,-1,-1,-1,345362,386893,-1,-1,-1,782892,873611,-1,-1,305696,-1,264187,-1,-1,-1,-1,-1,508310,672074,-1,500767,-1,-1,-1,-1,703895,118927,-1,-1,494769,883201,-1,931281,-1,-1,188690,-1,311852,-1,-1,966839,868762,808089,667406,-1,-1,191538,821529,-1,346602,167044,-1,50428,582354,406057,521783,576168,24201,-1,-1,623440,-1,-1,807656,-1,-1,93947,-1,-1,357519,723182,50818,827393,621922,889118,-1,140256,909464,-1,82948,236626,-1,994660,-1,75589,-1,-1,-1,589973,-1,826691,-1,313628,-1,477213,663834,836132,-1,-1,300221,-1,451712,414249,-1,958896,-1,400671,-1,-1,-1,-1,10463,421101,-1,-1,864612,-1,59536,-1,-1,-1,-1,-1,385987,-1,501264,837776,172095,201289,842459,-1,-1,747237,-1,102678,738998,887828,468345,856393,527247,936652,193839,-1,568803,-1,699724,807790,-1,-1,341619,658960,352395,688977,772079,-1,-1,-1,-1,939187,404833,80662,-1,-1,947871,-1,-1,338048,503429,-1,802412,546795,-1,513007,-1,-1,446565,-1,252059,-1,-1,-1,246130,-1,-1,-1,336614,-1,656299,483912,963542,155660,866625,162478,443706,-1,76815,14569,638421,-1,813132,-1,-1,-1,-1,-1,107345,334278,174246,816635,375838,-1,892404,559907,499087,680863,507792,-1,230958,682334,242432,-1,809915,-1,931556,-1,-1,290281,534990,-1,-1,-1,-1,-1,658028,635771,207238,-1,867074,-1,-1,-1,528231,-1,427967,365474,-1,-1,127503,-1,-1,94586,331233,119053,902803,-1,66672,384581,-1,-1,429518,-1,888908,934290,470252,433572,521043,-1,-1,-1,-1,45061,-1,273328,718458,-1,-1,739583,-1,884342,-1,285637,-1,-1,-1,735663,-1,-1,776562,-1,924000,892520,833314,321468,451414,568918,-1,970325,887928,-1,528189,102962,-1,-1,463413,-1,842099,444463,-1,372208,-1,-1,709555,-1,-1,-1,-1,826693,894187,492885,-1,-1,410366,-1,-1,460029,-1,-1,71014,884415,-1,-1,-1,-1,625701,-1,-1,640155,119495,445915,704955,-1,653964,247884,-1,-1,373866,375123,495797,-1,797929,578664,625279,-1,-1,-1,89608,147977,903519,690959,467843,-1,-1,5978,-1,-1,741426,-1,-1,-1,901677,-1,-1,-1,351033,-1,7041,838331,782513,217157,-1,-1,472837,-1,651422,209627,-1,-1,-1,-1,-1,-1,-1,-1,-1,281012,-1,807354,48837,743481,857,150599,719328,-1,797865,97497,437402,-1,477121,321616,43894,-1,102381,332391,953091,210795,936637,-1,277002,746142,341579,542373,-1,948287,-1,-1,-1,-1,-1,-1,813926,-1,-1,162480,169600,152563,901803,-1,-1,-1,179825,40412,269622,590761,551703,981912,-1,-1,955842,-1,-1,-1,495783,-1,473091,-1,-1,-1,-1,471101,-1,-1,312251,788682,249697,411285,-1,121232,386746,141417,-1,21724,426209,-1,334610,72017,303693,734738,614191,-1,873102,238494,778034,311878,822754,-1,-1,427318,946403,798154,9171,463351,-1,688816,802510,384485,-1,847426,-1,-1,503549,-1,-1,181749,437980,-1,-1,952816,538167,-1,-1,-1,229130,-1,-1,309860,-1,441139,-1,378593,-1,727905,-1,-1,-1,327287,-1,-1,-1,-1,-1,-1,716380,-1,-1,-1,654340,-1,517710,413127,-1,-1,-1,-1,-1,443126,508196,789834,760329,-1,695209,-1,-1,691121,643782,-1,102444,-1,-1,342751,-1,175469,-1,-1,755094,333239,307065,-1,-1,203384,-1,-1,-1,-1,445866,717146,-1,-1,642424,-1,-1,-1,459530,-1,314931,581192,-1,288196,-1,637946,628541,350317,-1,128670,74123,-1,159119,935868,747647,202726,-1,361365,-1,782450,-1,634729,-1,114350,-1,508146,35994,106334,-1,204362,294239,-1,68602,-1,2241,-1,-1,-1,-1,-1,-1,788217,489205,876165,398822,-1,138147,-1,741406,76000,198687,-1,-1,-1,-1,-1,723623,695603,-1,463891,-1,-1,92564,950531,-1,-1,-1,-1,38087,312707,-1,-1,224954,543543,-1,-1,-1,631778,-1,346906,847919,691509,758923,48825,757522,-1,-1,-1,-1,-1,926368,345746,994679,-1,-1,16085,-1,-1,-1,746558,-1,-1,-1,849490,-1,704685,-1,-1,-1,672424,104452,923426,-1,-1,630554,454999,-1,397689,-1,220530,54973,-1,912903,-1,606711,954211,-1,-1,-1,630314,-1,-1,726442,-1,211666,837482,-1,631372,-1,759703,-1,687424,122982,287707,455647,377117,-1,70195,-1,730173,718652,-1,-1,613189,-1,-1,-1,-1,-1,-1,-1,-1,688447,765455,-1,-1,-1,-1,-1,-1,842539,458439,647006,-1,-1,818484,105870,-1,-1,-1,-1,-1,-1,-1,813519,-1,-1,960740,285233,539972,616704,-1,595833,519028,-1,606830,130640,71238,56662,-1,-1,-1,229331,-1,-1,-1,-1,441924,-1,97770,-1,581435,-1,702285,-1,194624,-1,-1,-1,-1,-1,-1,237840,328364,-1,231514,191141,52864,-1,51311,-1,910725,-1,-1,-1,-1,742279,-1,388246,-1,282562,179583,-1,-1,-1,-1,242771,213551,-1,633789,696225,-1,224549,709385,937263,-1,-1,68263,415424,-1,-1,665290,-1,871868,-1,-1,-1,40313,-1,185618,273054,-1,920347,-1,-1,-1,-1,-1,252559,741864,-1,695208,826486,-1,579937,-1,-1,-1,987632,750832,-1,-1,614687,-1,-1,-1,425072,-1,798444,-1,-1,196424,445848,-1,-1,736521,123906,-1,190284,-1,129416,-1,2818,-1,637045,775931,844057,-1,-1,-1,587398,863944,-1,-1,-1,442135,-1,520855,-1,-1,-1,983853,-1,-1,-1,463582,-1,884648,996744,-1,37212,-1,662283,644365,477341,-1,820445,638891,-1,701090,-1,-1,904578,-1,617091,-1,-1,432717,10843,75920,-1,-1,789454,743348,619128,-1,-1,741964,-1,9990,722155,461458,-1,-1,-1,-1,390212,297906,357928,-1,308049,-1,-1,-1,-1,330307,-1,-1,-1,-1,820162,-1,-1,-1,676862,21598,-1,992876,-1,402309,-1,-1,-1,347919,838583,228942,-1,-1,-1,-1,586109,-1,-1,825751,-1,-1,345245,-1,567194,771578,-1,-1,-1,566723,423248,-1,946947,331320,-1,-1,724159,-1,-1,586769,918236,649606,526745,44583,743870,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,975262,-1,-1,-1,74986,-1,-1,927056,-1,-1,370605,-1,441183,-1,-1,152217,813643,709917,651304,947422,943385,-1,-1,-1,-1,-1,529010,-1,755796,-1,53702,918420,-1,-1,-1,-1,503517,-1,-1,-1,41435,995548,378743,293249,128023,-1,-1,-1,-1,534095,895338,-1,-1,101738,830697,-1,140589,-1,276386,-1,349051,453719,-1,35517,-1,-1,-1,862044,976300,522423,274434,-1,-1,389479,-1,-1,556527,338984,684235,350772,-1,71648,-1,-1,-1,-1,-1,-1,8844,774323,144383,770434,-1,-1,485971,321207,-1,895678,443031,-1,-1,298924,958486,-1,329007,-1,-1,359582,-1,-1,-1,-1,240044,408967,906200,-1,-1,470780,497032,-1,599284,36068,766496,134425,638547,772676,-1,906157,587922,971297,869570,-1,-1,801433,79932,533163,-1,409411,1295,453232,-1,38160,-1,-1,-1,-1,848864,943924,-1,522768,507968,-1,286222,327513,163982,-1,370167,846808,-1,907285,876385,176913,-1,814840,-1,277458,-1,-1,-1,467209,409740,547796,529246,-1,644349,39899,32462,-1,-1,954325,100978,272771,120607,605428,-1,370741,199328,960036,638587,-1,-1,-1,-1,737723,233987,-1,-1,-1,470051,-1,888450,-1,527652,-1,113884,451067,700840,-1,219046,-1,-1,356696,898086,694478,461010,458891,-1,828614,-1,-1,766396,-1,904817,-1,-1,282941,-1,193654,-1,-1,449733,745277,899230,-1,882491,-1,-1,-1,221587,897922,157447,787363,851969,-1,-1,770971,54798,399201,-1,985794,662981,911447,471011,106252,-1,-1,-1,831231,-1,930444,971668,-1,-1,781841,291052,-1,-1,-1,480368,-1,775016,-1,-1,978466,822958,810300,262385,-1,57318,-1,-1,-1,-1,-1,394450,-1,950564,-1,-1,-1,-1,358223,425230,-1,-1,571260,859893,-1,-1,518729,357471,-1,914284,-1,-1,-1,-1,-1,-1,-1,551997,-1,48729,568314,-1,-1,-1,902734,139911,181587,-1,316845,-1,478273,-1,-1,360269,548964,629514,-1,-1,346322,145062,-1,24530,975212,-1,-1,913529,-1,-1,-1,591434,-1,-1,-1,812923,-1,891710,696150,-1,479579,712335,881332,-1,-1,-1,-1,62948,139640,249896,-1,258536,237533,-1,-1,-1,-1,-1,509931,-1,-1,-1,-1,-1,-1,-1,-1,-1,662577,727925,312984,-1,-1,182557,891689,-1,-1,-1,762826,888933,564787,-1,790635,-1,313834,-1,-1,-1,533194,-1,347819,-1,189484,438098,-1,850372,609099,-1,-1,244837,-1,666472,330200,-1,324226,-1,-1,-1,568612,-1,-1,730626,652306,364821,-1,805792,814074,-1,37987,-1,-1,-1,-1,-1,-1,-1,369702,920960,38612,942011,-1,743457,422612,-1,-1,-1,-1,757615,67204,-1,-1,700797,-1,-1,-1,-1,252162,-1,-1,335759,719184,987789,765623,707070,-1,-1,338349,-1,-1,870986,-1,623139,968903,-1,129916,746552,467656,-1,742626,-1,-1,751458,-1,150084,-1,-1,-1,-1,940757,44598,-1,-1,-1,-1,-1,919689,813055,657019,74526,256270,-1,92920,-1,-1,485829,863368,-1,-1,665918,174807,-1,-1,-1,-1,-1,-1,290320,574927,571026,-1,-1,-1,-1,452927,921225,480064,818539,171294,640553,553980,310966,537935,252968,-1,121334,-1,31197,-1,141764,-1,-1,-1,748955,100583,-1,978467,-1,-1,-1,893272,-1,-1,899958,423492,961843,-1,-1,547395,409419,-1,-1,-1,-1,359632,-1,-1,658872,-1,-1,388616,373813,721491,-1,936281,869854,-1,-1,-1,-1,650525,-1,682542,-1,-1,488085,-1,-1,686574,-1,-1,-1,574405,-1,638142,-1,-1,-1,998158,-1,617948,-1,-1,-1,-1,-1,-1,694985,376103,655960,347822,-1,668652,-1,-1,-1,-1,195723,500934,-1,-1,632406,-1,711869,-1,-1,-1,208027,-1,-1,578348,503953,626364,-1,755158,7328,-1,490246,-1,925294,863949,407262,-1,363521,-1,488718,-1,-1,174084,-1,-1,-1,108103,-1,745065,550969,560513,-1,60233,652283,610161,-1,266525,-1,916170,-1,-1,-1,584029,-1,2821,797002,-1,674447,40541,372333,-1,521881,-1,211158,71922,547970,-1,-1,652016,202222,-1,-1,-1,-1,177564,-1,642324,-1,-1,-1,-1,476160,-1,472268,-1,998382,-1,958053,855909,-1,25489,159584,605309,-1,669245,170668,-1,400281,-1,905871,323114,-1,517111,-1,-1,786811,287969,-1,-1,832920,-1,931569,-1,-1,142961,767616,-1,89434,-1,-1,986863,-1,690693,-1,-1,-1,731850,-1,341145,206286,-1,-1,-1,309910,-1,-1,828999,-1,-1,219200,412291,48105,659860,-1,995184,73596,-1,-1,878860,78352,-1,-1,64893,-1,887724,836394,402119,258984,727062,105460,-1,152841,-1,-1,128629,826057,7592,729621,790627,-1,-1,399549,-1,376216,-1,-1,-1,-1,-1,419748,430413,611755,45531,-1,-1,-1,-1,-1,992084,701061,791507,770969,204500,799809,-1,-1,-1,122740,663158,-1,956624,-1,369787,715889,198741,-1,-1,100537,11208,859100,815354,52348,253452,893265,-1,421847,-1,139621,-1,834321,-1,-1,319300,-1,-1,-1,-1,-1,-1,624876,366863,788648,-1,-1,666876,-1,976983,-1,-1,-1,-1,-1,-1,669487,-1,682717,-1,-1,-1,315724,-1,-1,-1,248618,-1,950714,-1,-1,-1,273807,51809,113118,-1,-1,-1,390538,-1,-1,-1,-1,-1,-1,-1,-1,-1,154575,-1,-1,-1,-1,180667,130472,-1,565961,-1,-1,-1,-1,-1,-1,541667,189182,940394,615855,-1,687173,-1,-1,228142,-1,486223,-1,345667,-1,11649,674912,770694,645050,-1,768083,951171,667660,-1,353405,449956,624390,243732,-1,369473,-1,-1,509125,226741,355421,274520,387340,236018,-1,159521,-1,-1,745166,666935,48545,454570,326476,-1,377222,-1,672038,58434,-1,425648,44386,-1,540849,619449,-1,-1,-1,392791,184100,397984,-1,95169,964061,-1,-1,569919,442048,-1,560631,977070,-1,-1,-1,148817,-1,-1,46317,596776,-1,94807,399796,-1,-1,-1,31270,-1,-1,250762,-1,-1,662754,341893,-1,-1,-1,-1,-1,962853,682200,-1,434548,13947,-1,142638,722730,410450,222553,793461,-1,-1,563436,-1,-1,-1,-1,-1,224864,576480,-1,-1,221102,-1,-1,-1,103577,-1,-1,-1,865276,274996,363871,-1,359854,-1,462938,157534,417891,-1,-1,-1,-1,826245,62150,-1,-1,181249,546582,336568,398748,-1,-1,126117,495927,-1,-1,-1,-1,-1,382422,-1,976942,450334,344461,936699,579306,661445,-1,85763,336954,-1,879787,305250,511355,965709,47341,-1,624695,-1,-1,-1,402631,-1,961298,-1,-1,52877,-1,-1,224402,938589,-1,457794,556590,657931,851470,193495,-1,-1,231944,575293,-1,-1,-1,713556,-1,443968,-1,466628,-1,-1,-1,-1,414218,-1,597497,-1,527902,-1,-1,915381,788184,102832,478631,-1,-1,-1,-1,347417,152744,-1,862558,937719,-1,-1,372525,687827,-1,975400,-1,-1,669658,-1,-1,814516,-1,-1,901093,-1,29949,-1,999048,-1,105572,-1,544390,-1,-1,426519,-1,921200,-1,400318,-1,214601,-1,-1,-1,-1,302055,-1,-1,-1,-1,666915,213457,462917,777632,-1,-1,230721,-1,-1,247674,619352,-1,-1,648444,766109,363298,-1,-1,-1,872587,890489,-1,-1,-1,506890,-1,-1,645996,-1,341282,-1,-1,-1,141108,719930,753014,10681,336501,766762,648446,-1,-1,170300,-1,246508,-1,833501,439265,317756,-1,-1,10765,-1,398768,-1,40952,-1,798846,-1,804396,419036,-1,395892,416259,785864,274051,776804,-1,-1,-1,-1,-1,-1,801745,688249,-1,204641,960049,-1,-1,68088,-1,292560,-1,-1,-1,923878,848533,-1,767005,135867,880150,734739,-1,188574,196085,168636,868193,-1,655571,726830,-1,-1,-1,904606,-1,-1,158165,164147,-1,-1,333006,929737,-1,54018,-1,-1,-1,872642,-1,-1,345164,-1,-1,706088,680628,576009,517522,-1,-1,736594,977019,974125,277329,600549,88384,515313,697653,-1,503392,-1,12428,-1,807988,212984,485622,-1,249008,608450,738101,-1,-1,-1,917238,162009,-1,-1,648266,-1,-1,361827,-1,-1,-1,-1,925040,-1,993784,-1,-1,-1,970826,-1,592870,-1,-1,-1,-1,613172,370178,-1,10857,997054,403,903497,678889,61386,428474,-1,549921,337519,127321,69209,-1,873503,-1,685830,-1,-1,467786,-1,-1,484388,580137,-1,343268,-1,-1,622845,-1,637700,591785,353533,-1,550368,740691,3815,-1,-1,-1,896751,659253,-1,-1,965977,404268,748816,-1,720786,643997,419717,319079,-1,-1,-1,463685,751615,897055,822067,-1,-1,-1,168707,7780,-1,-1,615348,277787,-1,621731,-1,-1,-1,807807,348893,-1,107707,-1,-1,-1,397244,369149,529257,-1,208521,556724,-1,-1,56819,112616,395207,408083,-1,388112,-1,-1,162361,-1,-1,-1,621201,-1,35117,527436,-1,-1,955511,-1,413016,-1,-1,-1,31748,-1,454228,238860,-1,-1,-1,388956,823895,773922,-1,390721,466310,215271,-1,515296,-1,831918,-1,-1,683047,-1,-1,168384,689196,247295,-1,-1,665825,-1,649418,-1,685091,757409,-1,-1,933215,-1,-1,644604,622800,342815,129703,-1,252609,-1,-1,-1,-1,855763,177428,-1,334255,468914,766516,302580,237836,-1,-1,-1,959161,11241,803288,581909,-1,-1,-1,686280,24078,633502,-1,-1,80964,521279,618169,-1,-1,-1,78967,-1,466145,573536,-1,-1,22089,-1,232636,37424,42009,937401,-1,-1,808853,-1,371640,598447,363784,670567,-1,503243,381074,689713,-1,329629,-1,-1,-1,584402,-1,279620,25437,-1,841651,-1,139958,851630,-1,801622,-1,-1,-1,20489,-1,-1,48071,297170,438938,730853,588220,-1,-1,279874,-1,-1,385705,-1,70911,-1,924197,464120,-1,-1,484425,-1,-1,-1,336392,383164,112540,-1,495255,-1,833352,-1,-1,-1,-1,780702,-1,-1,-1,-1,-1,665520,-1,-1,-1,-1,-1,918124,-1,-1,-1,940344,697660,849633,-1,-1,986630,451239,-1,861235,994347,67317,-1,967751,136636,500289,-1,-1,-1,991167,969188,284150,55226,-1,399848,-1,-1,702985,799731,-1,-1,-1,-1,-1,-1,-1,67716,-1,-1,-1,778317,652563,-1,880776,215555,-1,-1,530944,456599,-1,646018,654396,114872,-1,-1,46688,-1,-1,-1,136448,-1,63499,-1,584455,-1,-1,375209,-1,-1,-1,933066,-1,-1,-1,48127,-1,23354,-1,-1,-1,696195,905985,391839,-1,584161,363873,-1,-1,-1,407305,-1,224653,-1,573922,114667,308194,-1,2587,-1,103747,-1,984773,-1,-1,19655,933351,235448,935791,181136,-1,-1,937186,-1,42129,547447,-1,379288,718311,276097,-1,971891,-1,246583,-1,824059,86319,973360,-1,179976,730106,-1,177070,759524,471411,754270,-1,453522,332299,-1,902585,42120,-1,-1,353856,156519,-1,735769,827873,-1,-1,-1,417815,-1,-1,135169,-1,-1,887784,-1,-1,-1,-1,-1,-1,878033,-1,916534,-1,459967,-1,-1,881758,-1,878482,147915,-1,-1,-1,532150,47570,-1,252471,-1,414545,143946,-1,582252,154314,-1,539040,631858,-1,866756,-1,451349,579648,87728,-1,731126,231441,-1,-1,-1,914326,-1,-1,561996,-1,793838,-1,-1,281174,-1,-1,947453,-1,944941,314651,-1,-1,-1,680228,488879,-1,952957,258581,-1,38739,74744,-1,-1,-1,242990,-1,902039,584481,-1,-1,100985,-1,45356,995708,560379,-1,662929,-1,371937,625681,600340,-1,46773,787844,669379,711467,508957,552009,-1,728037,108832,411845,-1,362910,-1,-1,-1,719707,-1,-1,-1,-1,-1,285845,988299,695533,-1,-1,997375,-1,746994,-1,548897,230309,-1,-1,499004,488023,694529,483817,451157,-1,985674,120852,150994,-1,-1,-1,-1,468783,-1,301725,-1,355790,417754,-1,893685,983219,138344,357628,-1,-1,-1,-1,-1,257745,872712,-1,168134,345983,574373,-1,-1,201180,957918,717019,-1,470698,-1,-1,649296,201582,326024,-1,-1,890076,752994,-1,751881,-1,959680,706397,779223,-1,504595,-1,801564,-1,214488,873679,-1,625100,-1,890475,76127,812907,-1,-1,980106,931043,-1,-1,-1,897377,628239,-1,633922,233039,-1,806286,892869,-1,324689,-1,98094,621512,-1,-1,594275,-1,-1,-1,62784,-1,-1,-1,759891,-1,426164,261222,551164,-1,287232,590662,-1,-1,84993,339804,342384,-1,470433,-1,-1,-1,-1,296506,-1,-1,-1,-1,649551,-1,225563,-1,-1,-1,789768,493353,-1,961344,-1,743980,903242,-1,401606,323207,798141,-1,207174,-1,164493,-1,341975,-1,-1,387288,-1,-1,-1,-1,-1,924787,251017,-1,642078,-1,-1,810111,-1,-1,878994,-1,-1,116554,724837,-1,265980,-1,-1,-1,589606,-1,636118,-1,650876,-1,-1,-1,-1,464680,86923,189106,-1,-1,-1,-1,22335,-1,255820,-1,623606,-1,2424,-1,-1,-1,231726,3580,-1,849942,672097,738252,-1,93111,-1,-1,-1,-1,-1,416486,898843,518276,-1,779553,-1,942831,44211,970518,397450,533048,-1,-1,814743,-1,-1,870894,-1,-1,-1,19110,-1,165679,482184,353636,-1,108508,179489,-1,-1,-1,143256,-1,474454,-1,783237,-1,-1,66962,-1,881608,586804,-1,-1,880317,706452,39824,-1,433370,-1,979761,608778,860695,-1,-1,-1,-1,-1,125071,748485,-1,-1,-1,-1,252002,966769,623936,581588,-1,-1,-1,934265,634412,596645,-1,875786,101615,-1,320187,-1,-1,-1,-1,-1,-1,-1,137809,-1,514793,761627,-1,730220,265922,639709,641074,468488,-1,282052,482194,377889,68978,-1,-1,421699,-1,-1,-1,390425,-1,-1,-1,554833,324382,578870,-1,-1,-1,204580,544588,-1,-1,313791,373629,-1,-1,-1,-1,-1,-1,-1,641105,-1,-1,851600,-1,-1,466983,854728,148864,612870,359011,-1,-1,-1,-1,-1,-1,-1,485941,919370,127397,182526,401304,-1,-1,250955,139223,-1,-1,458174,-1,567173,-1,958632,-1,-1,-1,-1,-1,295931,-1,782249,-1,631355,682589,952073,252506,-1,257523,-1,518067,-1,142383,700924,778364,-1,9835,562352,-1,164009,156379,-1,-1,955385,-1,883800,380854,597632,-1,-1,772009,709561,-1,-1,-1,-1,-1,-1,996641,-1,-1,-1,-1,-1,710593,-1,698550,654275,400957,-1,-1,-1,-1,963368,-1,187374,698428,-1,-1,-1,563807,-1,-1,20251,-1,-1,105151,647681,915376,778224,-1,1190,355678,742836,-1,-1,-1,292303,163429,84277,218217,392573,926256,-1,939440,-1,-1,-1,351539,562746,-1,-1,654977,-1,302093,531258,995309,984854,-1,656084,8490,465800,-1,777460,253842,917193,626587,562002,-1,-1,345317,306062,-1,-1,-1,-1,314318,593841,-1,186456,388762,254450,-1,-1,376867,-1,-1,-1,167362,219785,343061,668816,528688,-1,-1,951273,-1,-1,-1,-1,606517,-1,773739,941728,-1,-1,565452,885431,-1,837367,877179,-1,-1,154179,-1,839419,539363,-1,16610,-1,511649,-1,-1,-1,601579,-1,-1,504977,-1,341380,-1,-1,-1,765280,629410,661804,-1,885136,-1,-1,115175,-1,-1,433491,372692,-1,-1,-1,-1,459911,505468,-1,-1,892566,-1,155962,-1,-1,850572,-1,-1,13874,714278,-1,71588,-1,-1,-1,949087,834802,358727,-1,-1,-1,921248,800769,-1,560227,-1,698915,-1,-1,878824,-1,647407,-1,-1,938615,-1,-1,149240,412436,-1,-1,-1,872468,-1,-1,365057,-1,-1,-1,112829,-1,551414,-1,-1,-1,-1,460837,779761,309464,490537,-1,-1,-1,-1,-1,487382,530283,-1,964581,-1,506528,314235,-1,-1,-1,-1,37115,-1,-1,-1,374471,-1,250039,-1,-1,-1,23191,-1,947527,904539,852349,-1,-1,353835,14581,830476,-1,-1,-1,-1,615009,-1,949147,-1,140053,-1,376398,-1,237724,-1,-1,-1,-1,-1,-1,303587,-1,87853,907963,464014,726699,-1,618222,-1,86781,-1,696511,725785,879755,-1,-1,-1,-1,-1,168975,624412,799389,597578,291075,-1,-1,605599,-1,-1,-1,817380,-1,468689,428358,978390,794837,-1,-1,646989,742519,240266,-1,-1,-1,-1,137447,852344,-1,-1,631384,284821,-1,-1,-1,655322,-1,522642,274007,-1,334718,106376,650869,344980,-1,-1,-1,756776,-1,514376,991820,94985,-1,-1,924138,759241,-1,-1,918030,620539,323918,564370,-1,-1,-1,-1,528974,250915,277507,614653,234331,-1,206710,-1,-1,568193,-1,-1,-1,743919,321443,257872,-1,551083,-1,-1,-1,717529,374395,-1,-1,-1,927010,-1,-1,368395,329115,762583,-1,-1,536392,-1,-1,-1,508317,70032,-1,233280,352094,436936,-1,-1,-1,728512,-1,-1,-1,32026,-1,386371,408449,594657,460478,911253,664568,856985,-1,650428,188618,-1,-1,-1,-1,18655,425644,641640,-1,866935,-1,-1,698752,924154,351628,907167,788976,-1,387074,-1,692639,-1,661258,-1,-1,789254,-1,-1,-1,-1,509019,-1,316040,-1,-1,897586,101500,-1,321678,381895,-1,-1,897167,-1,9825,-1,-1,-1,-1,141813,-1,-1,217334,-1,-1,607215,363886,704126,141158,822652,919712,2561,-1,-1,-1,462133,-1,-1,-1,-1,-1,330884,-1,713169,26135,12788,953444,-1,552459,-1,737621,-1,733049,508245,-1,847751,-1,263196,279003,-1,751349,876270,325178,670825,-1,532399,-1,206,150358,-1,-1,-1,-1,849224,884172,-1,568556,135541,678011,233643,-1,-1,331384,128051,-1,-1,-1,861363,285265,-1,-1,-1,99020,82144,191518,-1,-1,-1,659422,-1,-1,496135,-1,-1,-1,985214,752824,-1,-1,-1,38553,169573,-1,-1,-1,-1,-1,621584,875678,-1,347080,-1,316868,303589,-1,-1,-1,375036,553631,-1,664134,-1,-1,367495,897332,83898,354654,-1,-1,-1,511543,-1,796712,79425,-1,-1,-1,166190,890510,536745,-1,60544,-1,-1,592074,800207,843788,557235,-1,-1,-1,-1,-1,817224,811084,663838,-1,603831,626339,-1,-1,-1,774522,-1,926004,-1,410587,9431,-1,-1,660480,-1,725746,58692,570299,166332,-1,-1,-1,111363,594299,631741,838766,521722,858548,329570,-1,-1,411397,-1,955705,-1,-1,-1,-1,442365,345345,525081,644844,524997,-1,694896,514218,506372,711539,-1,-1,891215,-1,-1,-1,-1,-1,368461,-1,727847,166871,777984,857711,887589,804256,-1,-1,892509,964754,-1,-1,-1,658539,-1,90067,213385,-1,-1,853088,406508,189583,637395,-1,22477,-1,624036,-1,-1,683295,288115,-1,-1,861324,-1,-1,177058,-1,774895,-1,-1,-1,-1,462432,-1,-1,-1,-1,985625,235083,-1,-1,-1,-1,282145,297572,-1,-1,257041,-1,-1,-1,-1,252598,-1,458223,-1,-1,985312,360569,14314,-1,-1,130164,-1,745091,-1,452827,-1,846440,-1,652469,-1,912755,-1,-1,-1,-1,-1,264386,-1,-1,375000,112049,365893,-1,684772,-1,-1,-1,699283,639579,-1,-1,-1,918966,651439,684987,-1,-1,-1,-1,31289,-1,97386,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,870871,-1,51655,939082,140676,-1,462440,-1,468592,334542,284006,209130,220181,82851,-1,157815,-1,609450,-1,-1,-1,966674,49952,390959,-1,-1,-1,660426,-1,831688,-1,-1,892469,-1,191962,-1,874583,414458,419515,22655,-1,-1,368852,-1,-1,-1,653731,835542,-1,28463,-1,-1,887590,148532,-1,-1,-1,379830,883776,-1,-1,379896,-1,-1,41993,35202,-1,-1,675344,-1,448685,-1,720193,-1,-1,460461,-1,-1,-1,85604,317589,-1,588022,-1,222930,846141,-1,-1,298957,-1,-1,261864,770379,29387,-1,-1,754079,-1,-1,366650,819117,-1,-1,82549,-1,992932,-1,-1,-1,-1,-1,-1,604550,-1,611221,-1,-1,294010,435951,310669,756973,65722,-1,-1,245505,309445,-1,-1,226828,912700,545339,-1,-1,559839,-1,996630,982365,416818,-1,44464,556298,232968,780123,721703,-1,717374,850505,-1,447158,366538,-1,-1,-1,132955,-1,203311,-1,835155,-1,43774,-1,698978,744928,-1,-1,-1,401707,74708,731167,536130,-1,-1,259140,514317,261042,-1,-1,-1,-1,100241,-1,-1,928281,-1,-1,945140,-1,767494,-1,-1,-1,-1,675827,669028,-1,-1,563408,8698,963693,-1,-1,-1,-1,-1,73672,848994,795667,-1,-1,531548,172936,-1,666898,669770,-1,494094,667494,204088,-1,887251,-1,654456,978792,-1,320620,106421,-1,780328,-1,-1,872507,281770,-1,896210,925682,860158,-1,684367,436752,51384,-1,-1,212835,73979,652321,853781,265092,-1,-1,-1,835001,-1,74296,-1,268128,967014,2778,-1,928666,984295,-1,444040,-1,483846,-1,-1,756002,313029,298119,150472,-1,581181,-1,-1,701117,-1,452926,-1,110304,574475,-1,65521,140383,72430,-1,-1,-1,-1,908702,-1,8907,788626,-1,422676,-1,796785,-1,-1,7595,142441,369191,-1,-1,-1,60906,192314,-1,-1,-1,723107,-1,32474,826939,-1,730186,-1,-1,242751,678574,-1,656345,-1,-1,319532,-1,177767,992442,-1,-1,-1,679525,-1,-1,829182,314800,252468,358132,589425,193520,-1,784404,398396,189661,67946,-1,571886,-1,-1,-1,-1,402471,409421,768594,115383,271404,229470,-1,-1,227756,-1,-1,-1,-1,-1,-1,-1,-1,741750,366716,345140,-1,-1,562125,-1,-1,714904,571940,-1,-1,230759,92122,65336,619431,648317,865994,-1,368223,-1,831923,-1,-1,-1,446714,-1,800838,-1,-1,-1,-1,926044,359200,-1,-1,-1,-1,554578,930606,851688,254022,-1,495522,-1,-1,-1,593655,680114,3233,926533,-1,-1,-1,930518,-1,-1,749420,-1,126441,457557,50471,-1,-1,591319,-1,-1,-1,-1,-1,712220,-1,-1,176954,-1,187185,793980,-1,-1,508017,-1,-1,875619,-1,-1,-1,-1,-1,-1,-1,114852,434849,-1,228289,-1,19943,-1,312223,-1,-1,740895,-1,471529,-1,-1,484418,798034,-1,914818,-1,245332,-1,372764,-1,-1,717409,439772,972774,-1,216714,-1,11636,903446,860359,366583,-1,459236,-1,-1,141768,-1,-1,-1,-1,-1,-1,680714,-1,-1,675321,-1,-1,63186,-1,-1,336208,435400,-1,-1,-1,-1,-1,672796,-1,61944,-1,-1,811787,-1,323817,217508,-1,-1,278116,-1,860882,-1,580833,-1,505092,383128,-1,744850,788272,-1,175255,-1,305275,950295,-1,58413,-1,219301,-1,-1,945321,-1,-1,796895,-1,131521,613227,41634,-1,-1,-1,-1,-1,-1,318479,-1,-1,773160,-1,240156,299436,872031,142843,682415,22229,398471,608060,-1,-1,-1,661070,673827,814669,143569,75148,128899,-1,-1,-1,-1,911737,186690,132604,-1,915491,919631,-1,883710,866229,-1,-1,594416,-1,290591,-1,-1,925051,498261,-1,-1,-1,-1,146176,-1,956339,364665,524106,-1,-1,-1,-1,53256,11240,-1,-1,-1,315729,-1,921608,431719,-1,729423,-1,98834,-1,193366,906339,372242,39540,161779,-1,862966,74817,633078,205425,-1,228373,388958,-1,-1,141650,-1,-1,-1,28661,796450,335042,573706,-1,-1,909238,471783,-1,-1,-1,-1,-1,833715,177255,-1,-1,507634,121420,3912,-1,709794,-1,480858,-1,-1,-1,876115,-1,125463,972263,-1,-1,-1,178818,882078,-1,677170,888729,-1,508934,761030,-1,-1,244759,328587,242583,-1,-1,748227,-1,861271,-1,43715,938159,456645,956508,656534,239287,712048,-1,-1,128115,-1,-1,614568,128835,-1,-1,605465,733699,487094,802563,-1,-1,865439,-1,632278,568067,651572,268998,-1,-1,321680,-1,258038,-1,-1,800537,415061,-1,347784,216428,386495,-1,-1,-1,-1,302136,-1,-1,-1,-1,147621,-1,-1,-1,619305,-1,-1,-1,-1,-1,126452,-1,-1,766707,500603,974276,468531,416216,-1,725113,-1,786235,-1,646353,810197,-1,429071,-1,152884,-1,56997,-1,-1,-1,-1,746751,-1,-1,337479,656202,43261,-1,-1,390605,-1,110103,9806,-1,611840,373678,369563,506933,-1,-1,-1,-1,888745,620538,-1,-1,754277,280615,-1,-1,-1,893572,228632,-1,457891,-1,71350,564070,-1,912610,621684,74783,-1,744720,763196,306920,-1,57281,-1,344032,249849,160843,795344,-1,216579,-1,-1,-1,487931,453624,-1,996553,528096,733096,-1,-1,-1,298772,-1,146025,-1,71204,216012,-1,-1,-1,438469,-1,958353,-1,-1,520339,-1,470030,-1,88259,-1,797182,-1,-1,-1,-1,555900,959101,836325,-1,-1,-1,635841,975438,527916,163743,84332,-1,-1,-1,502772,-1,-1,-1,476837,-1,-1,132812,206133,-1,598478,-1,104504,773092,-1,363910,878139,429850,-1,899644,885854,-1,-1,11566,-1,174204,-1,-1,3337,-1,-1,559514,-1,-1,357439,-1,-1,-1,-1,-1,933146,-1,-1,-1,-1,391350,268410,-1,-1,210509,811877,-1,649781,675854,-1,-1,-1,-1,-1,-1,-1,-1,146887,-1,538254,-1,-1,-1,-1,-1,-1,-1,-1,499975,-1,-1,-1,-1,-1,67838,412931,239301,698960,-1,-1,-1,860693,615481,709545,-1,-1,-1,-1,-1,-1,-1,396499,727872,214736,-1,909542,753005,428409,265876,-1,560280,-1,-1,913964,-1,813616,804257,609405,-1,-1,514165,-1,339991,-1,-1,-1,498121,-1,203774,90282,-1,67021,-1,-1,-1,-1,-1,635240,-1,-1,430174,-1,-1,714472,3533,-1,907616,-1,-1,-1,219350,353183,218044,-1,-1,-1,639066,-1,32661,-1,714636,-1,200812,920405,601819,394182,424272,-1,51421,720952,887364,-1,-1,685004,456790,355979,803237,-1,497713,50141,802738,-1,171060,-1,-1,-1,904914,-1,125112,985553,-1,-1,-1,-1,-1,-1,209994,-1,220031,336465,-1,755092,-1,-1,-1,-1,-1,13762,-1,54436,-1,-1,221876,50468,988528,-1,-1,-1,703462,-1,232594,766588,-1,448686,-1,658113,-1,122749,-1,-1,-1,755672,68420,405537,-1,471334,883656,-1,-1,596313,360457,-1,874399,-1,-1,-1,-1,-1,204002,-1,-1,51178,580235,990762,153845,-1,745544,300458,635148,97381,791152,26489,-1,994736,-1,-1,413325,-1,416488,221860,38195,-1,-1,-1,158964,360163,528296,523332,-1,377062,949308,-1,-1,561422,-1,316308,-1,-1,-1,-1,-1,964484,-1,198340,-1,724644,-1,162241,149062,443191,-1,887409,-1,-1,104781,426657,166932,295015,-1,406557,492261,-1,512889,-1,963790,-1,829942,989192,263653,27467,-1,390941,-1,-1,349438,-1,302998,201912,528394,-1,386245,239268,428552,-1,-1,155121,-1,-1,527622,588934,121109,745172,-1,-1,-1,-1,363564,-1,824676,-1,763632,629315,879119,398498,-1,-1,630885,-1,504687,-1,-1,-1,-1,59040,-1,-1,-1,259994,-1,708801,810024,-1,399997,-1,-1,-1,-1,-1,614982,-1,-1,275342,-1,768690,-1,-1,709847,726896,954809,-1,-1,-1,379686,129451,-1,262058,923969,-1,191626,255132,594203,933320,-1,942803,983418,-1,-1,-1,33021,498027,441490,726240,-1,-1,336273,751345,-1,765529,344655,238661,-1,512578,942012,-1,-1,107281,-1,-1,906220,975112,-1,-1,171191,-1,-1,-1,203337,-1,-1,-1,-1,267905,-1,-1,524065,300081,-1,-1,-1,13248,689183,286004,610014,696853,-1,208534,-1,288915,-1,818090,680659,936620,-1,-1,-1,977563,-1,619270,994377,639319,873528,277279,-1,993367,884470,-1,724337,555658,71629,-1,-1,313959,533934,352270,397931,-1,186353,-1,-1,-1,247130,610283,899880,-1,177320,-1,72283,-1,-1,712884,-1,543030,-1,-1,875672,114428,-1,656033,-1,-1,150831,788140,-1,-1,896700,-1,301325,-1,208569,-1,499973,-1,-1,197502,-1,-1,-1,-1,-1,-1,707006,798822,-1,-1,297576,-1,950789,777651,-1,304034,-1,-1,638375,-1,700267,938222,590773,-1,791666,-1,849011,-1,532694,-1,268167,612581,358671,440855,354696,-1,-1,64477,-1,-1,854831,-1,361841,-1,568526,284386,906453,-1,-1,-1,-1,-1,-1,-1,433410,474971,-1,-1,-1,17876,778091,-1,-1,-1,503026,-1,-1,173382,-1,335972,219180,-1,-1,991104,-1,-1,-1,-1,655968,285956,346302,-1,-1,-1,260461,546829,535241,110398,920729,858506,442439,97809,34015,-1,2510,230642,-1,561257,405343,185136,-1,247025,6337,363750,-1,39929,-1,-1,76777,389562,-1,356502,769917,402428,567714,445562,246863,-1,-1,957549,165208,-1,920384,2206,385042,-1,665727,262413,-1,18708,799582,-1,372407,828538,604379,-1,-1,-1,71163,-1,802464,-1,-1,682605,-1,-1,-1,543553,324819,355839,800363,125530,-1,-1,177531,-1,690099,337800,246764,-1,264816,291483,299093,787979,596344,916426,601968,789737,-1,934603,-1,-1,231772,-1,-1,-1,-1,-1,367064,-1,457118,-1,968313,-1,535832,-1,-1,160704,-1,891843,565636,-1,-1,-1,-1,757266,-1,-1,487898,867548,54,500043,-1,-1,928616,746484,58728,646762,-1,110898,-1,764301,273412,-1,-1,-1,750621,-1,569265,-1,-1,-1,5225,699541,-1,-1,-1,72405,-1,-1,869606,59617,-1,-1,-1,199894,-1,-1,-1,994878,-1,-1,-1,771094,148713,-1,963402,150704,298447,-1,334621,-1,-1,-1,-1,-1,-1,513629,-1,-1,107492,916541,-1,177802,842614,-1,19630,995651,-1,-1,6182,256228,955039,600885,978983,-1,467847,-1,18120,428067,-1,598337,336921,786590,253881,325553,-1,526879,426315,7517,506667,-1,630952,-1,474692,-1,-1,-1,-1,741102,4406,-1,-1,811823,849290,-1,-1,946295,-1,-1,-1,-1,-1,-1,-1,-1,336308,430129,989905,-1,85649,-1,283424,394411,-1,-1,453622,-1,570040,-1,-1,-1,793818,-1,631472,836104,-1,431792,553749,-1,862835,419901,436793,700849,106290,952626,740139,387174,214191,852198,742613,-1,-1,457647,-1,65489,857243,524661,-1,-1,983452,-1,-1,-1,483814,-1,542047,661642,-1,-1,121314,990406,232138,562120,-1,41085,-1,813008,54143,755013,-1,-1,-1,658812,356628,567368,-1,-1,123604,850286,277226,331001,-1,-1,468370,-1,-1,-1,-1,-1,-1,893646,-1,798023,847921,830911,727988,460313,-1,234298,966154,-1,-1,-1,166014,416772,-1,-1,794506,341612,-1,940469,346340,263012,-1,-1,222136,40676,29707,-1,-1,783106,531652,-1,-1,755565,634517,126526,679127,353055,486900,93526,-1,626929,-1,-1,-1,-1,624243,185664,-1,-1,254158,907576,549368,493622,528391,-1,354197,454381,-1,-1,-1,400244,580429,942789,-1,-1,-1,-1,47782,-1,181123,833547,824895,573447,445970,-1,944544,-1,-1,404719,-1,595471,-1,813543,-1,-1,-1,420490,-1,-1,-1,63828,-1,-1,-1,572032,-1,-1,-1,629043,770835,-1,631369,-1,-1,-1,149928,777291,-1,842133,731864,-1,537500,-1,276620,-1,750109,-1,-1,348629,497129,152040,22549,-1,597085,-1,454643,-1,60658,-1,709092,-1,-1,801508,180434,922758,471536,-1,347118,-1,-1,-1,-1,-1,661098,330731,-1,187978,-1,-1,-1,-1,-1,354474,-1,318975,-1,307262,-1,-1,768280,921741,118437,-1,-1,207500,-1,792418,-1,807118,-1,148671,-1,211931,-1,334127,286389,-1,-1,-1,-1,294945,199935,-1,291347,359990,-1,-1,-1,145484,-1,864210,-1,263984,-1,306301,443286,773966,-1,152077,155357,221245,417939,340326,-1,-1,-1,684765,993133,884834,-1,482628,-1,-1,936051,150584,-1,-1,-1,-1,-1,499220,-1,-1,139018,-1,995356,-1,-1,502500,757938,-1,798431,375668,-1,-1,-1,739870,-1,823619,-1,879894,-1,-1,785594,418126,252448,656259,814073,-1,714114,161642,-1,-1,957288,-1,-1,-1,148595,-1,-1,103389,-1,663235,-1,676285,796245,193502,-1,433872,130612,-1,-1,413666,804545,499117,578031,90734,552503,-1,320699,-1,-1,399089,-1,769991,150326,121206,-1,-1,-1,678460,791241,566804,465655,-1,-1,89823,-1,-1,640470,468759,88189,-1,66031,306971,290641,-1,-1,636622,-1,-1,81552,-1,-1,131391,-1,-1,-1,607078,69152,-1,-1,548951,958742,367284,-1,197949,559135,991147,-1,82664,550514,698668,187664,468441,-1,-1,-1,-1,765402,173333,144232,961167,659333,-1,982779,-1,-1,-1,462712,108076,-1,-1,903594,-1,-1,529305,-1,342262,-1,945707,537775,-1,81076,710101,-1,211837,-1,-1,107143,-1,398574,742560,-1,311587,-1,267518,-1,-1,202555,783888,-1,827215,-1,-1,698672,-1,612220,329321,-1,965905,-1,341339,310656,-1,-1,798744,781035,3457,-1,183970,-1,-1,968556,256054,90909,123546,98335,39907,934907,289712,-1,-1,848479,554749,-1,-1,-1,286918,-1,954572,593206,343578,836760,-1,-1,548143,-1,151049,-1,732249,-1,-1,-1,-1,255517,371361,-1,-1,162205,800744,729826,-1,-1,372173,820599,37924,148474,895731,882015,391076,-1,146991,-1,267887,-1,730364,762468,327845,788597,649128,670136,-1,-1,-1,-1,-1,-1,366648,-1,-1,-1,-1,-1,-1,-1,553774,624340,428866,453612,-1,-1,-1,-1,-1,-1,-1,-1,-1,311722,-1,-1,330157,-1,626186,-1,387547,255857,524503,-1,-1,-1,381363,386201,247196,194755,957877,-1,539530,-1,630178,506091,-1,455043,649652,787616,-1,742457,-1,629283,535497,-1,-1,-1,676593,-1,377656,-1,177318,-1,667776,-1,-1,-1,651346,637713,247761,189041,-1,441644,599154,925081,-1,-1,850124,-1,-1,-1,340286,-1,-1,-1,772586,310153,682603,-1,401887,-1,930962,-1,680107,131422,-1,-1,-1,417840,-1,235837,-1,474817,814823,504111,-1,337704,581328,-1,789376,-1,161149,65966,-1,717537,-1,-1,-1,-1,-1,150310,521953,306291,-1,-1,-1,-1,-1,-1,380051,-1,-1,982522,563401,445661,587297,-1,662211,-1,-1,-1,-1,-1,408125,314269,882003,-1,-1,-1,-1,503538,-1,258802,575798,-1,-1,-1,-1,-1,442906,-1,366974,422822,44360,190350,-1,939064,899349,622534,532778,-1,-1,-1,-1,-1,207853,288262,390049,-1,-1,-1,-1,-1,855497,10789,-1,600232,-1,216880,-1,722399,864818,-1,849342,920705,947428,85832,190786,795273,-1,-1,448123,-1,650608,798976,143771,512587,-1,798539,-1,468410,453895,-1,71383,336470,904695,-1,-1,470868,882002,-1,564214,-1,196810,-1,-1,150611,-1,927736,-1,-1,479648,-1,-1,885714,-1,225729,-1,186718,509720,926813,-1,-1,951928,-1,263285,451261,888353,261948,415371,-1,-1,590185,299141,762582,967501,-1,-1,-1,910590,924649,-1,-1,613710,-1,-1,763545,984631,-1,-1,-1,-1,-1,-1,-1,759721,-1,-1,-1,871626,-1,-1,789490,751982,-1,-1,61435,-1,-1,933766,-1,-1,764712,-1,-1,-1,108019,-1,-1,577464,-1,-1,-1,241769,56272,-1,-1,-1,291115,-1,-1,-1,-1,-1,900935,689294,39298,130487,785287,196397,-1,559448,913864,290670,849732,-1,-1,-1,969139,873640,-1,193319,364416,-1,-1,-1,690856,-1,723851,395415,417683,-1,-1,331513,-1,232103,-1,-1,594449,38975,-1,-1,768078,826649,-1,299962,311294,-1,85493,509082,-1,649987,-1,577497,664981,-1,-1,339886,-1,325120,392846,-1,-1,-1,725111,735826,-1,-1,469351,-1,421725,-1,-1,-1,818689,-1,667132,601725,-1,-1,-1,615583,-1,-1,-1,-1,796353,194086,-1,521120,-1,178409,-1,-1,-1,-1,-1,420630,-1,-1,-1,88789,397385,736491,-1,-1,-1,-1,-1,-1,-1,245281,748743,688991,602069,558421,-1,483885,22983,-1,-1,506123,290874,-1,984489,617848,269059,-1,-1,-1,-1,552809,616169,948037,-1,-1,-1,120535,-1,588874,-1,-1,-1,-1,707196,-1,386833,-1,464596,706342,322431,761961,362130,891352,-1,-1,297754,898229,439486,-1,-1,-1,-1,308576,571273,-1,-1,343264,-1,-1,85570,-1,122347,811622,912167,56585,-1,-1,-1,256338,48392,-1,-1,165859,228152,-1,-1,-1,-1,-1,-1,-1,21959,-1,-1,-1,376029,-1,306698,95715,-1,604511,22742,324043,-1,671527,252904,193979,-1,-1,-1,963305,-1,705522,-1,-1,-1,-1,-1,516998,-1,958973,-1,518042,167069,326990,-1,-1,-1,429012,232193,-1,176161,-1,490848,41715,384544,199942,809398,742050,-1,-1,-1,311607,632269,695223,665199,-1,824918,772319,47444,749134,615674,-1,-1,385295,-1,449826,-1,-1,-1,664664,-1,749953,-1,625234,666409,-1,-1,-1,768533,-1,-1,-1,471034,-1,-1,325502,546437,449452,-1,-1,-1,522109,583546,-1,799193,471493,-1,322927,970835,-1,423835,832481,899373,219907,295223,-1,812370,992140,830660,-1,958736,986077,-1,757858,-1,256387,526990,46885,-1,111929,176762,-1,-1,638072,277287,849359,588680,-1,679278,751926,747433,657414,947888,463796,462879,-1,598103,-1,-1,836416,943308,-1,446858,-1,752733,594576,40773,905739,-1,-1,-1,513015,989939,-1,-1,-1,119280,-1,-1,335097,-1,-1,-1,789242,766143,-1,-1,264344,723458,122371,870528,-1,-1,608249,24230,-1,709226,-1,-1,995063,-1,757292,-1,-1,869560,-1,-1,-1,-1,-1,-1,-1,929816,306910,780150,-1,352147,190318,-1,-1,280203,-1,983244,627055,162672,-1,814281,151312,-1,27189,-1,214086,518100,-1,484033,762917,592930,3105,-1,-1,258123,-1,-1,-1,777962,624292,952910,244687,-1,552046,870715,-1,561865,988477,-1,-1,877948,937789,26318,391671,-1,-1,-1,315842,-1,704376,-1,-1,-1,-1,221735,384284,818891,137237,-1,418514,797248,-1,493925,860200,825536,-1,-1,976952,921847,400637,-1,-1,-1,170859,936088,-1,380280,327168,-1,652993,589173,573236,883778,312439,514007,509223,480853,-1,394933,-1,790910,487398,-1,557329,-1,-1,258285,985596,-1,-1,129569,-1,973128,155662,442248,183349,-1,30699,-1,-1,-1,372354,-1,692847,497005,-1,981263,159151,-1,741396,-1,976158,833891,103658,-1,-1,-1,379442,-1,-1,-1,-1,-1,474243,953482,584194,-1,-1,44399,103568,-1,164239,924372,-1,214638,-1,26425,165045,777058,535619,-1,381081,762821,67443,680029,-1,-1,-1,560847,904540,124328,-1,164107,812664,-1,-1,-1,775972,492808,784786,981652,-1,-1,679546,688268,-1,541573,-1,410546,-1,400184,432136,-1,-1,763089,66095,836845,536840,-1,-1,-1,251568,535232,-1,-1,514411,841864,814693,821102,-1,-1,-1,979507,671619,-1,-1,430595,-1,-1,-1,603130,473435,660894,-1,849913,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,41948,3966,7319,-1,439198,850330,-1,997567,-1,493469,-1,-1,16419,743482,236788,-1,482763,988713,-1,-1,614765,336794,-1,-1,-1,-1,510940,-1,-1,747686,-1,869302,-1,-1,431012,79062,550335,-1,-1,-1,-1,-1,-1,-1,115170,-1,-1,682484,820024,627711,201596,-1,369917,-1,119371,241635,-1,748579,-1,-1,-1,-1,-1,-1,99705,-1,426251,36342,-1,-1,-1,-1,-1,-1,-1,-1,834764,468009,-1,951462,-1,-1,685300,282421,383066,637172,168493,259027,464876,-1,-1,-1,515164,318795,-1,897012,-1,-1,325828,534359,-1,-1,-1,12279,-1,-1,276739,-1,647359,742789,-1,-1,837905,-1,-1,62318,520580,-1,-1,-1,312155,-1,-1,428048,310191,-1,424628,-1,286595,-1,-1,458316,689566,-1,-1,304154,-1,-1,-1,-1,-1,-1,-1,-1,-1,711200,-1,-1,270593,760725,388549,-1,-1,-1,-1,-1,-1,624012,-1,13872,93197,-1,-1,400151,53784,-1,684821,761161,754801,493115,-1,-1,-1,819537,331792,-1,-1,862274,191560,-1,670322,-1,-1,711028,-1,-1,-1,158751,-1,237977,357674,109480,-1,-1,-1,296094,141787,136252,-1,807128,666914,-1,191086,589856,-1,-1,597551,298336,198584,771669,609272,256964,-1,-1,-1,949055,749318,334981,374525,-1,-1,-1,-1,-1,-1,-1,-1,448049,-1,-1,164573,-1,-1,545918,-1,-1,-1,-1,-1,815303,161279,864170,488673,-1,802624,-1,111700,-1,-1,851187,-1,-1,798819,-1,97709,-1,294704,56558,-1,276318,-1,-1,383641,-1,786456,380530,334997,566247,762490,-1,750191,-1,368043,811743,-1,53952,-1,-1,-1,246471,884817,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,659,-1,-1,674597,422515,-1,680122,-1,-1,10010,575076,338972,512924,298435,-1,-1,-1,-1,832747,-1,626008,290125,-1,-1,-1,-1,-1,778990,421398,-1,476080,779347,858140,396484,672754,999020,219399,-1,312747,-1,-1,-1,386092,-1,859787,206047,523641,524715,803013,-1,720229,-1,-1,-1,-1,-1,-1,-1,-1,589737,-1,551058,932113,794257,-1,-1,375296,217490,-1,-1,685743,-1,454775,953294,-1,-1,-1,-1,613070,674185,-1,24234,719120,-1,-1,-1,481168,-1,-1,-1,6138,795430,877883,476001,-1,-1,-1,-1,939195,-1,412908,823290,916409,530228,-1,270759,-1,478695,540624,-1,986986,-1,-1,-1,-1,-1,958244,353703,-1,-1,-1,849602,-1,320227,-1,64916,-1,337854,168159,122058,785429,-1,96526,479839,-1,-1,709254,-1,-1,958984,-1,-1,832423,393225,-1,-1,736245,55584,220526,-1,387236,-1,721626,471501,520662,973987,486377,472637,-1,-1,-1,-1,-1,-1,879605,-1,-1,880111,639847,-1,-1,557294,284920,-1,-1,890503,34841,579883,414824,502427,-1,-1,890056,544696,97212,795704,-1,-1,201327,-1,590597,-1,885826,-1,876512,22253,-1,833168,50526,-1,960128,-1,-1,-1,-1,189322,-1,648304,-1,-1,401602,224308,-1,-1,607694,-1,174275,41069,709359,-1,880965,-1,-1,549198,602813,-1,204441,-1,-1,-1,-1,-1,60089,-1,-1,954539,708746,428820,381615,-1,-1,-1,491333,-1,489299,-1,-1,5817,-1,-1,-1,564283,540971,-1,962379,-1,-1,-1,275625,132384,-1,188935,-1,975525,-1,409535,-1,750163,-1,173436,15655,432292,607328,-1,-1,47212,382139,303394,-1,-1,991177,714555,-1,455452,-1,-1,-1,-1,371303,397974,-1,679524,40377,143168,-1,403827,106267,-1,736782,-1,466808,821707,-1,877323,34826,-1,480292,96851,-1,708591,370719,996883,-1,567954,-1,-1,-1,-1,-1,-1,438231,-1,-1,763857,-1,669907,793370,-1,523209,915314,568438,-1,-1,-1,762589,-1,-1,588361,371480,-1,241267,238192,-1,729306,813255,238201,-1,314742,18408,714632,642316,480253,767164,-1,-1,-1,-1,-1,-1,-1,-1,993900,652267,-1,578058,-1,639686,-1,379414,803701,-1,294265,-1,209454,-1,-1,-1,190698,636697,-1,-1,-1,-1,221358,-1,-1,-1,188851,718568,-1,436066,-1,288713,-1,961288,822604,-1,-1,-1,904274,965746,71917,-1,-1,302853,-1,573803,-1,260602,-1,561280,867934,104583,431039,-1,2548,-1,182908,136665,344832,341750,729276,726801,-1,-1,767105,545863,-1,-1,601447,-1,-1,-1,631140,-1,999829,-1,908952,391460,-1,362588,291486,-1,440805,-1,484271,622575,746786,380157,-1,-1,269810,396807,425896,-1,-1,-1,284517,467029,-1,994566,341233,-1,-1,823572,-1,-1,280955,40466,898318,-1,-1,486804,456265,597811,122733,445434,-1,-1,-1,972221,902704,597577,-1,9121,-1,989390,68528,-1,-1,-1,786853,-1,-1,-1,-1,985166,-1,918355,614219,-1,44019,950818,451310,-1,789643,-1,728101,300173,-1,-1,502189,920056,-1,836069,279798,671782,-1,-1,-1,-1,-1,484984,913205,912022,-1,380049,-1,177523,-1,-1,-1,147865,895377,70265,649914,-1,-1,788945,524739,463201,81897,-1,944442,883579,-1,-1,634931,600771,635239,92918,213763,-1,339425,-1,-1,979139,382516,437855,833788,865559,183562,-1,-1,376920,-1,-1,716379,-1,197272,-1,414815,34277,949423,29124,606083,416406,376437,563094,691275,-1,-1,-1,-1,591849,505846,683554,-1,766859,508366,-1,331760,908346,256428,48064,-1,99680,7934,-1,-1,471705,182475,-1,-1,598151,475493,-1,-1,-1,992277,-1,724202,333440,-1,229192,343768,584071,670717,-1,478182,-1,-1,463051,784823,683923,645029,-1,26652,154288,30370,206296,-1,676725,-1,493168,-1,444815,-1,-1,820428,-1,521607,508299,158071,59166,834731,101912,852046,-1,-1,951737,-1,970751,-1,996307,-1,-1,-1,-1,-1,-1,-1,964564,894486,-1,151733,598649,395998,-1,-1,-1,-1,179484,152653,484057,-1,-1,-1,-1,291899,810454,-1,-1,956378,665029,-1,-1,987434,809248,-1,35889,530035,279278,-1,-1,524490,-1,321054,-1,-1,-1,4934,854941,880209,-1,981634,-1,-1,364082,-1,-1,631957,381621,90235,-1,171178,-1,442939,-1,-1,-1,-1,-1,103338,-1,-1,925873,-1,545543,614200,257283,-1,-1,591171,806883,905231,191166,-1,575590,-1,861314,-1,-1,-1,862995,-1,-1,662430,-1,799741,-1,-1,-1,908312,-1,-1,-1,-1,-1,449455,750918,-1,781011,950420,49323,-1,221467,-1,-1,-1,291071,938056,-1,-1,641556,-1,849821,15926,-1,480411,917053,953901,-1,-1,-1,181997,32109,19679,-1,366471,-1,-1,-1,260527,-1,456617,-1,563594,758741,195606,-1,705491,-1,-1,-1,614903,-1,-1,-1,-1,959,303050,434016,577303,-1,450080,174001,-1,600555,495724,869870,688517,-1,21100,-1,-1,-1,-1,112547,-1,-1,50150,-1,-1,677803,-1,-1,532750,-1,148843,107858,-1,308788,400188,-1,-1,270723,165118,-1,709213,928593,-1,596106,-1,203421,310747,-1,329851,937521,-1,-1,-1,-1,-1,740207,236005,-1,-1,545321,-1,692963,3887,-1,29590,82313,978497,-1,-1,330180,-1,-1,323886,-1,-1,184320,-1,243122,733311,-1,-1,508703,446722,-1,100390,196298,-1,-1,273556,545168,-1,-1,740363,-1,937050,-1,-1,643768,-1,418234,575142,-1,68775,378304,-1,-1,955464,162058,78078,-1,75006,-1,-1,-1,-1,438748,-1,-1,959115,-1,-1,-1,-1,658532,-1,305302,890368,-1,805841,-1,106694,-1,90573,-1,555755,368154,-1,723789,-1,-1,-1,76425,377876,994834,600883,-1,893522,-1,331335,-1,72125,835029,-1,201750,472616,732618,478309,-1,-1,-1,-1,562607,-1,10839,200383,-1,469132,-1,-1,334364,-1,299533,-1,45492,98,238612,-1,910546,271833,-1,143242,98054,465561,-1,-1,674941,70856,-1,-1,-1,-1,733745,391412,283522,-1,19295,363217,359165,-1,-1,-1,361540,-1,-1,903309,511410,-1,602174,-1,672641,-1,950573,264550,-1,-1,707815,-1,348919,522449,308802,921797,-1,287395,759229,186673,21664,-1,-1,-1,439441,171355,-1,709020,484272,122565,-1,225534,145589,-1,151965,813924,477934,603688,-1,252167,448617,211442,-1,983981,820386,553058,261934,376003,291185,13272,680098,-1,-1,-1,20038,-1,-1,-1,-1,-1,32037,-1,937024,-1,-1,-1,638567,-1,193163,-1,-1,-1,766901,-1,-1,-1,533087,967385,-1,956912,-1,627817,903995,-1,555433,-1,-1,296326,-1,283693,783405,585235,850687,413790,742020,494291,-1,-1,231762,-1,-1,504232,-1,623856,-1,-1,-1,-1,895054,-1,-1,468501,239556,-1,-1,-1,778540,-1,-1,911144,976305,-1,-1,-1,-1,921777,-1,-1,-1,-1,-1,-1,381535,977638,-1,685143,-1,-1,801464,-1,-1,-1,344238,-1,-1,740910,-1,331246,-1,79972,185435,874189,-1,825847,-1,-1,-1,645358,406963,156723,-1,-1,28263,611711,-1,-1,160585,585296,-1,-1,189895,51059,-1,948359,-1,-1,272270,213628,475042,-1,-1,-1,985482,-1,210773,327256,-1,244003,-1,-1,-1,808291,-1,450798,902009,-1,478357,-1,119240,-1,904890,418713,-1,-1,288100,990452,548066,451905,-1,-1,689321,530214,956375,320280,-1,-1,322395,277246,-1,657480,45532,-1,-1,-1,-1,650524,151238,-1,646878,957577,375844,335434,-1,-1,-1,788893,-1,-1,-1,-1,520538,825951,-1,964460,-1,4459,55434,-1,891394,-1,445948,38835,-1,849145,-1,112982,-1,439168,974908,-1,-1,504116,-1,992769,98199,-1,705782,124264,-1,-1,316939,-1,-1,-1,-1,-1,-1,477099,-1,-1,632267,894615,74641,212988,349621,-1,-1,-1,-1,-1,-1,423851,-1,514169,783269,-1,-1,745619,-1,-1,-1,262403,-1,58263,-1,684165,743422,64756,864767,684810,783040,-1,-1,-1,78389,-1,-1,-1,-1,757368,-1,551780,-1,270359,-1,-1,823224,271816,-1,-1,240453,-1,638878,-1,218850,246074,-1,831114,-1,-1,660924,-1,609220,795494,-1,-1,827298,-1,972847,847050,477479,-1,-1,597960,-1,-1,937209,384234,249020,-1,-1,-1,-1,-1,337971,-1,148698,284183,145680,-1,227030,297072,-1,190532,724957,-1,-1,-1,989572,-1,794203,99756,-1,666480,44512,750190,477494,-1,263707,-1,-1,-1,-1,-1,-1,-1,897328,-1,308319,-1,901573,512289,-1,374524,594204,719721,-1,-1,19230,111670,-1,670813,-1,-1,740829,561179,587387,-1,964949,618105,-1,392559,182837,712939,765933,-1,-1,198564,-1,-1,-1,377044,436631,875940,-1,-1,-1,-1,-1,-1,809125,673289,-1,195883,340270,697511,402369,-1,-1,-1,-1,-1,78448,127231,360299,983368,-1,198934,-1,-1,270243,-1,736511,-1,-1,-1,-1,766005,22295,517564,-1,154718,-1,353612,781580,-1,-1,281410,-1,-1,-1,516360,16456,820064,78037,723240,-1,693481,-1,588387,965789,526956,994572,361318,182320,832283,910932,457299,758420,794362,669783,796423,-1,66789,-1,252783,-1,-1,819972,-1,-1,524361,946307,444434,254395,-1,-1,-1,931772,346659,175129,461145,-1,-1,-1,36987,-1,689290,-1,-1,262214,-1,929424,159569,749937,-1,170481,-1,83578,-1,-1,823761,-1,592264,-1,523903,726693,-1,-1,833430,-1,953536,131808,-1,948424,295324,171366,277925,-1,540232,-1,813430,-1,-1,26420,-1,-1,153730,687997,-1,88133,-1,-1,-1,-1,-1,937591,-1,590532,-1,87601,-1,958969,780065,114578,366447,683290,938609,-1,-1,765947,-1,-1,900697,773783,194347,444287,783869,9950,-1,-1,848318,577692,768377,-1,402551,648398,683868,323788,677976,55484,678231,235081,-1,899551,-1,464374,-1,441485,64720,-1,-1,-1,270963,734787,-1,933528,270299,231006,-1,-1,-1,59125,-1,-1,207137,52819,-1,-1,-1,-1,-1,611948,-1,465619,-1,-1,348878,239382,-1,96670,969511,-1,446601,-1,-1,-1,362009,54870,-1,802544,-1,524257,-1,733565,817191,-1,-1,-1,123285,988963,-1,268149,41370,594887,94815,-1,483014,621996,638324,-1,141993,-1,41976,409259,-1,662704,-1,-1,-1,-1,-1,425238,-1,647707,-1,-1,-1,-1,834777,-1,-1,-1,705386,857119,-1,216881,513882,896061,277149,936160,702145,-1,529244,-1,-1,-1,27954,196449,-1,-1,-1,-1,-1,-1,-1,-1,246979,414211,374246,275349,-1,-1,-1,847256,-1,-1,-1,699195,-1,392081,436051,-1,592430,392912,444798,-1,-1,-1,467493,-1,29876,-1,-1,-1,-1,-1,293120,-1,235726,-1,155280,-1,-1,-1,-1,-1,-1,-1,-1,-1,53881,768318,719189,401527,362397,557867,-1,-1,-1,210771,717986,417125,-1,50077,-1,988649,207016,144167,-1,13903,663351,-1,-1,-1,282056,593862,612781,437949,-1,-1,-1,627901,-1,277430,738153,317829,-1,176711,294459,-1,-1,-1,437379,-1,236151,-1,-1,-1,-1,-1,998786,-1,-1,-1,-1,634117,975616,618785,167708,606356,-1,766015,-1,-1,426962,-1,171762,706298,-1,96387,-1,-1,421748,645365,569210,715562,-1,585452,69646,141835,312055,581469,164626,-1,60275,764478,-1,-1,-1,-1,366006,954514,-1,-1,-1,-1,756080,-1,958739,-1,-1,-1,508938,-1,170902,23439,-1,-1,-1,-1,185824,-1,93802,493635,63568,-1,63034,67223,569612,-1,773245,-1,631944,-1,425809,-1,-1,852389,775617,-1,629659,-1,-1,-1,-1,404974,-1,-1,-1,-1,130110,-1,665464,-1,773883,884578,-1,21693,57897,992086,-1,-1,201729,-1,-1,653373,957535,-1,-1,-1,953841,-1,-1,640716,578564,-1,698927,818319,822161,-1,-1,-1,24455,347379,566071,889318,836489,738096,-1,64461,113742,-1,831200,106203,-1,465978,-1,301678,33530,732680,-1,-1,192877,721710,193475,-1,-1,219968,661190,-1,812873,-1,-1,355069,-1,-1,-1,671870,-1,-1,885864,385100,690236,-1,449858,753485,764095,29947,421086,-1,-1,593240,-1,-1,667825,-1,-1,505705,166411,-1,390594,-1,33942,47345,-1,112863,38856,-1,535246,-1,8018,138392,-1,857257,-1,-1,712794,967347,-1,843413,-1,549144,-1,16705,-1,225836,202211,-1,678797,701704,937215,30501,179302,-1,828037,-1,191703,-1,126223,-1,-1,671817,659107,988754,-1,179751,-1,349084,-1,-1,-1,826913,226257,341311,-1,-1,219971,896614,933848,1173,-1,-1,565660,-1,837538,-1,750415,-1,-1,629865,-1,-1,232435,925031,-1,-1,-1,-1,-1,-1,-1,-1,737746,-1,345821,119297,-1,338154,406725,299346,844265,-1,439509,68850,934200,-1,205689,598988,-1,-1,-1,-1,-1,444895,-1,-1,68357,-1,928267,188706,-1,-1,-1,489794,-1,410291,-1,-1,-1,-1,751159,-1,-1,-1,-1,661085,-1,154643,-1,821241,-1,41796,969832,-1,634850,-1,36665,-1,368401,963272,-1,578141,-1,-1,656830,-1,-1,608150,132866,145290,884194,-1,832095,91523,621849,-1,258606,-1,-1,-1,218719,723959,662371,508105,655022,784654,-1,-1,-1,484749,572637,565880,-1,-1,-1,-1,-1,-1,-1,297180,-1,-1,-1,673024,-1,-1,334240,933483,779969,-1,-1,216829,586657,930788,-1,965118,360543,-1,716128,-1,825472,845574,-1,-1,-1,-1,615547,-1,-1,-1,426596,-1,127873,151313,-1,-1,334856,-1,272499,-1,854731,350205,-1,436324,807768,55843,791866,826178,-1,-1,-1,515896,803768,-1,-1,784144,267396,-1,-1,808698,737690,983934,897724,423363,393078,482503,424531,-1,-1,533449,-1,-1,140508,198290,-1,-1,-1,725490,-1,-1,-1,7461,-1,-1,-1,-1,-1,-1,849028,969060,-1,-1,-1,-1,-1,-1,-1,342411,-1,434344,-1,-1,-1,317437,-1,756577,-1,-1,-1,358354,249658,432853,-1,-1,661994,-1,-1,387517,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,965550,-1,-1,-1,-1,-1,832705,-1,-1,794169,350245,870117,720788,374576,-1,-1,-1,330195,-1,507572,697020,-1,156742,-1,574442,587685,821142,758880,811915,-1,-1,531493,829147,-1,782827,-1,373627,819081,564497,-1,716949,340764,-1,224631,32906,512409,949158,458883,885081,-1,329446,412004,324404,948501,899465,-1,-1,842698,631595,-1,692451,-1,-1,488015,-1,-1,-1,594067,-1,35794,944304,-1,-1,-1,725025,-1,-1,-1,-1,-1,612516,68000,283536,-1,-1,-1,-1,523838,-1,-1,-1,791994,-1,-1,926916,511729,-1,-1,914251,408550,-1,534111,124496,-1,245823,572734,327960,-1,607787,-1,709337,-1,552544,-1,19603,468566,431301,230988,573560,947571,-1,370551,320920,-1,928189,-1,343354,-1,-1,-1,402335,614002,107325,140393,-1,826759,-1,1042,-1,458964,-1,605175,837543,529382,292336,-1,696944,-1,51518,-1,-1,-1,-1,484310,494289,-1,338701,25321,982394,-1,-1,-1,-1,535834,-1,-1,556587,987056,743112,-1,107560,8433,909762,345830,433970,-1,-1,297705,422626,343517,-1,262908,-1,21903,269992,755006,-1,-1,458819,299264,28395,-1,157393,879600,853748,130778,173363,492208,-1,98696,-1,-1,417043,-1,-1,-1,-1,569859,498275,-1,-1,-1,-1,-1,903405,807233,-1,673288,216565,-1,947496,-1,-1,-1,467844,-1,-1,393507,982832,593905,-1,-1,222232,-1,-1,-1,925024,130034,385860,-1,356750,-1,-1,-1,935570,805336,78001,327808,-1,97431,-1,-1,563445,-1,-1,-1,231532,-1,574587,-1,111512,633299,528880,-1,-1,-1,675881,-1,340571,-1,-1,463157,401003,768408,-1,478730,724902,423709,887021,-1,-1,735085,719344,715694,-1,750601,850076,107033,3433,-1,-1,-1,-1,714736,143504,23985,164273,-1,-1,760874,-1,642041,798592,555771,704234,-1,702130,-1,-1,-1,914086,-1,544651,863265,-1,-1,-1,-1,-1,618421,145580,295067,-1,975180,107064,-1,-1,363956,-1,31027,265522,94037,-1,-1,405309,602577,-1,20857,450722,-1,935661,904718,-1,241065,556751,410770,226975,426922,882815,-1,467996,329983,242511,-1,-1,854538,210487,-1,-1,-1,338455,891582,362929,131493,-1,342573,-1,269572,-1,743192,-1,163376,-1,144660,569516,683504,191145,-1,579408,-1,-1,449718,587675,206922,-1,-1,990481,-1,-1,-1,980389,768638,218372,810954,-1,825027,887572,-1,-1,-1,-1,643425,-1,-1,19859,-1,134176,657658,254573,811619,-1,-1,-1,-1,-1,347918,-1,-1,-1,-1,-1,803105,61982,645697,324945,-1,116748,-1,804553,-1,18458,274327,-1,-1,539769,894553,141183,-1,349002,797845,146739,-1,601136,-1,484226,-1,747268,-1,476468,300842,112025,14415,-1,565976,-1,604975,-1,-1,-1,-1,13973,-1,144909,-1,-1,-1,-1,521271,659613,840027,425416,135213,-1,-1,891874,247539,123647,838148,-1,-1,-1,590750,-1,-1,-1,-1,188540,762685,-1,-1,857420,608187,42966,995732,283912,968998,-1,-1,-1,-1,668304,616740,-1,-1,150235,-1,-1,556626,-1,-1,533152,-1,-1,426934,-1,161590,-1,909401,312578,-1,-1,-1,541559,431968,980739,396822,-1,365379,683947,497888,215592,-1,-1,-1,-1,-1,996439,-1,554258,-1,-1,-1,-1,-1,285885,-1,-1,-1,373885,266700,438824,-1,850089,280882,593267,257811,-1,-1,680265,318589,-1,-1,609890,-1,827477,539348,-1,506069,-1,-1,385963,-1,-1,-1,-1,345466,28067,-1,624277,-1,499448,-1,513396,-1,-1,-1,-1,518436,338597,-1,-1,79552,633599,84853,685238,-1,-1,-1,124735,-1,-1,335919,366955,-1,866091,-1,-1,146162,-1,917646,219712,600990,172101,-1,-1,916211,125040,-1,-1,-1,-1,956115,240117,776668,-1,-1,-1,-1,741763,494306,341315,903412,-1,573499,-1,518561,831157,-1,-1,154639,-1,432062,509337,-1,758304,-1,-1,-1,-1,-1,667528,-1,-1,-1,761864,-1,426451,-1,84795,-1,119683,-1,-1,-1,-1,-1,737956,-1,-1,-1,-1,-1,-1,600975,-1,-1,-1,261682,190881,192158,-1,166575,-1,-1,3858,-1,80152,-1,977713,8622,-1,-1,287695,-1,-1,431140,-1,-1,-1,-1,-1,730376,-1,-1,-1,671289,-1,297315,831927,-1,610459,488218,571292,-1,753757,509214,755623,828820,251432,839011,111816,602665,-1,-1,416676,422759,-1,409936,-1,960290,-1,-1,346742,-1,-1,-1,770236,948652,223086,-1,343814,516185,875225,-1,-1,675615,909592,295220,909951,73188,12371,711383,345267,-1,-1,-1,-1,-1,99940,724405,-1,330270,999088,546631,-1,773841,119422,274599,99091,987242,-1,109300,186282,986013,-1,-1,435076,-1,178881,-1,-1,-1,26159,238410,191983,-1,-1,985879,-1,-1,-1,-1,-1,685792,903297,242577,-1,-1,-1,-1,-1,339456,526829,851573,-1,229011,-1,-1,-1,477390,521049,-1,700442,-1,-1,40634,510591,-1,-1,-1,749759,-1,-1,-1,90144,153641,-1,368615,252659,392174,525375,916633,387157,515198,-1,943428,-1,-1,-1,-1,94513,195284,630030,980124,-1,-1,141265,-1,963659,-1,-1,-1,-1,524552,975258,53010,-1,71227,-1,699667,-1,313634,605365,-1,457093,-1,672426,120209,-1,318330,-1,-1,71771,36139,826424,-1,-1,-1,-1,147776,-1,-1,930288,-1,-1,749188,-1,477638,254643,990683,-1,-1,601312,-1,415768,618715,-1,754618,613085,-1,82448,-1,990651,-1,176722,274757,-1,-1,-1,-1,967087,-1,-1,-1,-1,145327,-1,38599,-1,885461,-1,281659,486775,755295,-1,-1,89696,-1,326278,800355,200143,-1,394271,-1,880741,-1,904477,365819,174884,136575,-1,798760,630765,-1,-1,192922,672208,-1,-1,11187,-1,-1,836603,115272,-1,10398,-1,-1,59008,-1,-1,-1,749663,13284,-1,-1,125710,-1,491119,-1,525782,464738,-1,-1,-1,710721,-1,-1,346251,-1,-1,-1,-1,-1,-1,-1,144460,736889,450958,515593,263630,-1,51016,-1,-1,922160,-1,-1,-1,503279,858728,-1,-1,-1,2742,659568,162539,-1,-1,-1,572565,31776,251051,938219,-1,74740,393451,-1,-1,184458,978689,-1,52148,-1,947669,-1,186765,803964,937558,-1,475519,212398,884982,586004,560511,-1,-1,75392,-1,599018,-1,368516,-1,146180,-1,732790,-1,-1,-1,-1,300433,607090,-1,-1,326677,776748,596096,-1,-1,531018,187143,-1,-1,404960,429958,-1,792862,-1,23147,599585,156855,380724,-1,-1,560211,-1,161155,-1,567146,-1,-1,-1,436510,-1,222851,-1,970114,165393,-1,388307,962970,264762,1750,-1,489331,450827,736493,-1,481980,-1,-1,282824,-1,412414,727168,-1,829195,-1,-1,872686,-1,989102,444971,377336,-1,-1,-1,-1,984793,898250,822821,407110,-1,476441,-1,-1,-1,-1,410419,996345,-1,549634,-1,-1,283996,323441,669997,-1,-1,-1,339574,-1,462386,359871,600172,37669,-1,-1,190045,-1,-1,-1,-1,-1,643595,-1,464401,115686,-1,-1,193393,450848,-1,292022,506831,-1,388057,-1,322170,592315,-1,-1,-1,488045,493496,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,253816,-1,86056,-1,8562,-1,-1,50585,-1,-1,406521,-1,-1,-1,-1,-1,-1,-1,656742,-1,835136,-1,254107,-1,-1,170120,-1,839566,727198,-1,-1,-1,-1,-1,-1,-1,-1,850515,-1,-1,-1,639148,-1,692389,-1,-1,-1,180644,-1,912854,-1,749477,-1,-1,-1,329513,-1,599429,142005,-1,-1,-1,512792,-1,641272,667982,-1,158428,-1,-1,-1,-1,452577,-1,-1,-1,308095,595494,-1,163124,-1,867195,810646,859162,308054,944293,256619,81705,449205,-1,-1,15858,230146,534778,-1,455811,-1,261987,-1,479719,669990,-1,627798,409297,-1,101232,843458,-1,-1,804649,-1,859482,-1,-1,333575,865546,655882,65774,-1,-1,46541,837723,-1,-1,368808,978516,192737,-1,-1,618075,-1,460833,52121,-1,-1,579346,897441,-1,-1,898924,917999,953628,-1,248522,737318,291785,-1,999687,-1,981433,293890,195414,255700,-1,260242,-1,-1,-1,-1,-1,-1,139266,-1,710225,-1,-1,894646,-1,708144,884980,937503,901521,603747,-1,-1,-1,-1,-1,-1,623099,271183,267404,-1,-1,182875,-1,-1,578517,76981,-1,718448,-1,52022,587224,549031,385347,-1,997948,-1,-1,-1,593814,794647,694430,763527,16492,-1,-1,-1,-1,-1,594456,-1,168089,290665,434447,989314,881614,-1,-1,-1,-1,403525,-1,261704,-1,371659,816110,526258,896857,-1,458803,-1,417287,-1,-1,842145,822660,-1,-1,-1,566980,-1,-1,-1,35947,-1,-1,-1,-1,-1,117255,-1,634438,488711,-1,-1,1683,635783,531519,-1,632532,693307,-1,46573,-1,-1,103872,476117,-1,-1,865514,397694,259758,252486,162734,-1,-1,588247,408913,-1,317347,794699,-1,-1,-1,871275,829992,-1,-1,864440,817755,507213,-1,-1,-1,-1,532422,-1,-1,6151,723189,-1,878407,-1,-1,917314,43708,-1,129760,665189,176775,-1,434724,-1,-1,-1,-1,-1,249259,454865,-1,-1,376930,411356,135847,-1,672452,-1,361938,-1,-1,-1,929159,885359,821754,-1,-1,757054,57982,-1,-1,-1,-1,348195,939534,-1,-1,56026,-1,-1,-1,758511,416247,132306,129295,-1,908216,672149,96254,-1,831652,660995,-1,-1,-1,991694,608899,566437,433159,101073,-1,-1,129130,-1,986810,-1,419408,-1,461523,653379,-1,120000,552467,-1,-1,176065,405433,20622,-1,236443,-1,-1,860598,713266,683502,-1,-1,664926,-1,-1,420537,437293,509084,-1,-1,-1,-1,-1,404261,137861,-1,267592,417895,486726,83241,-1,470390,-1,591276,-1,109092,848733,831179,-1,403760,940880,-1,-1,-1,226806,751462,121513,-1,758095,930990,115099,-1,-1,867714,173284,-1,-1,-1,-1,709119,589985,379214,803353,-1,-1,803799,-1,-1,783102,333673,353433,-1,-1,216499,769866,-1,461295,-1,-1,-1,-1,150905,-1,-1,951882,-1,-1,460067,873516,-1,56254,-1,385788,-1,164454,-1,-1,-1,-1,163547,-1,641462,-1,589341,-1,943687,939733,-1,683832,-1,-1,-1,893441,-1,467716,870274,-1,-1,-1,727230,535884,184829,-1,-1,946040,42438,-1,-1,-1,763025,892442,609724,-1,-1,332929,591723,375738,132663,926254,-1,-1,941607,-1,141921,-1,-1,-1,469563,616590,-1,-1,687493,-1,151858,518456,-1,-1,-1,-1,831277,409463,-1,-1,706213,745562,-1,-1,179553,259771,113984,-1,-1,-1,-1,-1,-1,264310,475632,17544,78729,622526,688399,-1,812998,698490,-1,503289,-1,679081,-1,-1,-1,643623,414687,-1,-1,-1,-1,883357,-1,-1,509080,388372,899338,-1,8678,-1,-1,944879,-1,-1,-1,-1,-1,449614,834613,216675,492316,99694,-1,-1,174629,11177,-1,840520,163202,-1,-1,-1,-1,-1,535179,-1,-1,-1,405039,-1,809579,-1,-1,801073,275920,109576,-1,-1,446395,-1,-1,285557,-1,465344,-1,953220,771228,563214,-1,-1,120064,-1,-1,-1,543647,555099,854404,485403,960777,911117,-1,26653,182979,-1,-1,-1,522528,-1,558778,-1,533132,122297,480271,-1,861783,-1,-1,-1,252443,936505,-1,164610,890179,711480,150371,34731,799453,-1,-1,-1,87840,-1,240336,-1,-1,660215,673777,599868,-1,685216,70550,-1,83881,-1,98954,-1,-1,980816,257997,-1,876503,-1,900671,109131,37384,-1,-1,248600,517965,533225,-1,-1,-1,-1,567548,-1,510166,-1,-1,-1,391124,-1,-1,-1,246473,-1,366270,-1,-1,818806,-1,-1,-1,381920,-1,510874,-1,-1,-1,-1,553405,-1,932599,125105,442015,-1,565584,-1,62598,299745,-1,-1,-1,-1,191833,282945,924342,-1,-1,-1,-1,929494,-1,-1,-1,-1,-1,-1,412401,-1,-1,366532,-1,-1,466355,-1,-1,528194,790425,486572,582180,635111,92800,-1,-1,-1,594663,-1,-1,690607,-1,400994,969133,-1,996878,-1,-1,-1,847362,556068,882284,-1,925464,-1,-1,152538,23899,903259,-1,-1,19976,-1,542907,-1,947986,656284,-1,-1,686047,-1,-1,-1,597781,396240,-1,224364,-1,116674,-1,-1,758738,37166,368394,280623,175697,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,278132,369735,-1,475036,740847,719599,776679,750178,260918,910698,-1,-1,943241,-1,320715,556726,585462,-1,-1,749225,-1,534026,-1,143059,-1,6659,183547,-1,-1,-1,-1,271703,319587,591389,625986,-1,-1,-1,833595,69594,-1,-1,-1,-1,675308,847800,241950,305660,-1,213946,-1,-1,-1,483182,-1,528011,-1,325007,-1,-1,220710,153515,886282,42502,422817,-1,807511,-1,-1,805094,812730,187589,661539,660210,620851,815057,-1,7423,-1,299611,309743,881843,743293,587070,708303,-1,504716,-1,-1,37792,-1,-1,689529,662802,502029,-1,-1,131175,-1,166375,-1,63480,-1,-1,5626,501880,612669,792433,689210,164947,756862,959864,637975,-1,940276,-1,617702,-1,-1,623042,693815,-1,-1,-1,949507,170185,579317,-1,-1,993401,208006,365892,-1,797416,327603,-1,-1,668266,212322,-1,-1,-1,179490,758731,953740,277717,-1,643241,428959,-1,-1,648672,944307,882275,380786,242897,11452,-1,55186,950084,-1,-1,530155,662938,-1,728730,149661,359028,189642,966258,-1,115866,750571,764150,-1,754406,392479,-1,-1,119406,-1,-1,575592,467158,311538,-1,-1,70632,381848,-1,674177,372678,13245,82310,767827,164926,382997,422778,-1,982974,-1,709447,-1,541697,140021,-1,-1,742638,753185,937983,-1,721107,661266,-1,371394,8327,-1,723978,228431,-1,-1,-1,-1,-1,118613,447080,228331,-1,836964,-1,-1,-1,573076,32330,-1,71096,-1,-1,829864,-1,-1,-1,68251,348278,711264,329895,22298,-1,-1,999995,-1,-1,311060,252531,-1,-1,407323,670534,-1,701349,772301,-1,831630,-1,-1,767584,-1,316634,564884,708883,416035,89796,-1,232619,363077,-1,182799,650338,-1,793211,47280,-1,-1,33910,-1,-1,653426,649835,865965,-1,188518,-1,-1,682242,828866,-1,779689,-1,779119,765910,836007,-1,670663,728360,-1,370784,614609,354353,963961,-1,-1,631446,-1,-1,-1,311143,-1,-1,594725,371714,789759,65214,-1,-1,-1,959548,-1,-1,582434,351291,367499,37069,593292,-1,-1,996471,-1,57610,-1,472871,969741,-1,-1,259696,825693,-1,673598,160083,625826,93987,200335,-1,722144,-1,-1,-1,-1,54539,520522,-1,-1,45383,530200,-1,-1,505402,8258,939723,-1,-1,-1,576265,666629,-1,654948,-1,-1,-1,-1,838400,646598,-1,934532,905118,736570,540735,-1,507477,604446,-1,-1,-1,-1,-1,644431,-1,-1,-1,-1,999158,207501,283611,-1,-1,-1,-1,-1,671256,-1,518536,-1,-1,935816,56670,443874,-1,154064,-1,925021,-1,383890,243684,941151,-1,703866,936684,598902,-1,462648,-1,119380,47219,395769,24205,213166,415835,-1,-1,-1,54668,14928,491558,329205,-1,386394,84829,276013,993542,419020,-1,697570,159404,905960,-1,-1,468219,420448,245393,423854,-1,-1,611743,-1,123410,380976,-1,-1,-1,-1,487855,-1,-1,-1,-1,430331,-1,755157,-1,-1,664854,858337,228205,820265,-1,519396,551438,543384,-1,24100,207117,-1,703774,-1,-1,465832,159378,592125,638549,-1,776058,-1,205048,118711,-1,-1,-1,-1,-1,25942,-1,422304,-1,655784,-1,-1,176095,961541,-1,632162,101211,845447,176729,-1,-1,-1,39736,-1,186403,402299,-1,516508,-1,-1,903807,983258,-1,860047,935806,-1,-1,-1,466050,811537,-1,276916,-1,-1,-1,220648,293257,-1,-1,75297,451034,193478,115209,712828,-1,638825,981801,225518,427213,-1,825306,490172,610647,349107,-1,761364,-1,-1,-1,977754,-1,780636,720003,593783,-1,520215,-1,25931,-1,547509,-1,142180,564822,-1,6105,583178,996492,749064,-1,-1,-1,-1,748736,-1,856234,-1,891757,787263,-1,615058,-1,569113,979801,442932,855479,-1,752990,351127,-1,577388,-1,213721,-1,-1,72930,14788,203873,-1,-1,696165,132295,-1,-1,236434,-1,244505,897997,324070,411570,115566,-1,-1,965563,-1,169371,265180,-1,587854,-1,-1,-1,382305,476617,83047,-1,21617,119534,-1,-1,847235,-1,-1,398777,761547,942960,515524,410482,579160,-1,782917,-1,-1,948384,-1,3079,-1,273008,-1,-1,477526,-1,-1,-1,-1,-1,722003,176424,-1,-1,-1,721905,-1,547799,605530,-1,-1,-1,564501,-1,-1,-1,-1,-1,288625,-1,-1,-1,-1,-1,483215,907564,-1,620911,-1,8419,-1,-1,-1,-1,29524,791688,862847,179293,-1,833199,-1,921728,979791,139811,-1,351252,-1,985781,810236,-1,469866,-1,189395,-1,-1,-1,563592,-1,-1,-1,417246,-1,-1,738373,44870,844694,-1,-1,93166,455651,-1,-1,-1,985046,46806,-1,692116,314657,-1,-1,-1,-1,-1,-1,798035,34953,-1,450516,-1,-1,424819,-1,398270,-1,-1,942640,723735,173510,854871,537357,460892,942219,-1,-1,430463,582444,-1,-1,-1,-1,209466,-1,-1,-1,688430,-1,239876,-1,-1,-1,886614,-1,-1,607084,984556,-1,-1,-1,-1,-1,795108,-1,977624,-1,364853,673292,-1,-1,75101,-1,856252,16039,675795,-1,-1,129265,363250,455703,156339,523579,76113,-1,519590,31922,256954,-1,650330,628061,-1,475198,218968,-1,408803,765224,681034,-1,439635,440201,-1,341466,-1,-1,-1,-1,-1,-1,-1,-1,682944,940149,775378,-1,208263,-1,453408,220203,-1,-1,663135,-1,414020,-1,-1,-1,-1,-1,-1,-1,-1,194960,707219,544406,794952,-1,-1,551172,120060,-1,523198,607468,-1,-1,-1,-1,-1,633593,105748,-1,375293,-1,-1,793988,-1,104822,-1,-1,-1,-1,421837,-1,-1,557115,-1,495997,-1,-1,-1,-1,467566,680660,771135,515863,780411,-1,415105,757442,190627,338609,329483,-1,-1,-1,-1,-1,916760,250544,86629,978350,745071,-1,670845,-1,-1,835761,743753,-1,-1,-1,645621,-1,606672,-1,-1,360463,977395,794482,5443,-1,-1,121013,-1,-1,-1,438539,-1,2554,582917,165581,870331,-1,820852,-1,-1,815893,629025,-1,-1,638178,-1,-1,49251,476277,-1,907957,300361,700464,673521,288197,783310,-1,-1,794586,-1,-1,803949,173509,-1,128084,-1,-1,-1,629281,905406,-1,-1,-1,267178,659142,-1,51289,-1,652439,-1,-1,800465,195530,-1,-1,896801,393841,-1,825771,220562,-1,-1,736084,834426,686153,-1,588700,-1,-1,330285,306017,-1,255643,723940,185903,-1,-1,-1,253662,-1,681444,-1,-1,-1,984511,373365,923544,754357,235826,381971,-1,-1,-1,-1,-1,-1,888961,369064,659625,-1,-1,-1,-1,-1,863938,619156,502820,922322,-1,409213,-1,539909,-1,-1,-1,527357,-1,-1,-1,4917,-1,-1,614267,151881,151341,953835,-1,-1,679898,278775,-1,56197,-1,107494,-1,-1,-1,838169,816396,-1,-1,503212,335145,-1,-1,540992,925577,386515,-1,-1,-1,-1,79663,-1,805822,949196,552342,501592,-1,-1,605770,-1,152212,902005,129531,-1,409278,160265,292930,452970,-1,-1,701952,-1,730071,-1,-1,-1,-1,-1,-1,160183,435719,973869,-1,878435,920175,820519,351898,70765,92132,940549,-1,856254,549234,-1,-1,-1,-1,-1,-1,49298,-1,25617,-1,-1,172638,366429,-1,433787,-1,898818,-1,-1,-1,-1,-1,-1,279900,70797,815312,367205,-1,-1,383926,460300,-1,622118,609535,-1,-1,-1,719854,506943,-1,586188,621251,-1,44700,-1,-1,-1,-1,-1,106674,-1,302138,-1,-1,-1,-1,-1,362991,-1,322156,256289,299209,-1,73973,-1,72294,733863,-1,-1,541587,755789,-1,558972,844625,-1,-1,-1,408200,-1,-1,69791,-1,27966,720986,577275,170570,-1,502757,-1,-1,700320,471867,477557,558265,-1,-1,496416,-1,-1,-1,725267,-1,244147,-1,101806,119383,-1,669195,-1,416227,856541,-1,189261,-1,721122,-1,-1,-1,503903,527036,-1,274292,716592,-1,-1,-1,-1,634201,141526,916645,235256,-1,-1,-1,-1,-1,-1,-1,-1,-1,413864,-1,496518,567659,-1,555867,-1,303759,-1,388220,6843,566034,-1,-1,-1,31403,836,-1,378826,231014,121059,871265,-1,676445,613812,-1,19605,809841,358365,-1,-1,-1,841576,391311,-1,-1,891232,252080,910053,885781,-1,579061,803139,27641,-1,-1,-1,-1,391038,-1,-1,-1,-1,211872,-1,292441,199316,-1,-1,294640,488238,282194,-1,-1,589921,-1,677997,396061,383673,385380,-1,442775,651993,-1,999606,-1,753580,976176,-1,-1,-1,-1,40971,-1,-1,-1,210830,-1,-1,254977,946899,-1,-1,817100,777613,323457,-1,883422,743156,-1,-1,363959,-1,-1,687569,439415,843,877732,-1,-1,104575,-1,-1,-1,472388,-1,-1,-1,558553,-1,560960,-1,400736,-1,578057,-1,-1,917883,-1,-1,-1,164559,909356,-1,-1,-1,-1,573282,405814,-1,618410,-1,199691,318362,137117,-1,103329,251075,166280,-1,530642,-1,-1,-1,512301,-1,350088,81600,85456,-1,-1,-1,-1,15425,803700,-1,924039,-1,-1,716131,53432,-1,-1,535877,-1,675176,-1,787321,506483,-1,950410,-1,-1,571775,622251,-1,247940,-1,-1,476267,-1,914918,-1,-1,472149,199435,367464,328928,46466,-1,-1,-1,569280,60268,-1,-1,719492,830795,404794,407182,-1,-1,-1,33271,906156,-1,196646,-1,-1,963137,874642,728842,-1,-1,34823,-1,377165,636181,-1,-1,204852,568506,-1,-1,90257,655909,743182,967254,-1,416072,841097,-1,-1,-1,-1,-1,883308,421220,457272,326980,740093,-1,487086,-1,-1,-1,661914,933557,-1,-1,-1,-1,-1,834001,-1,544649,918042,366619,855190,337946,1262,867906,833279,-1,2799,-1,884361,-1,925171,205762,-1,721600,203417,789630,-1,194542,213905,-1,298147,614556,-1,-1,115662,-1,-1,-1,-1,-1,918794,-1,-1,-1,-1,579929,807283,553569,-1,-1,-1,-1,-1,368557,-1,-1,-1,28900,-1,770965,155922,-1,222587,-1,-1,736603,419094,778286,-1,984817,727172,-1,572109,-1,404477,309851,-1,445855,-1,889470,417144,380145,-1,-1,-1,-1,186495,84255,-1,728338,41640,258531,-1,50761,-1,-1,-1,-1,731160,-1,622840,127750,-1,-1,439571,-1,851422,-1,-1,479557,-1,-1,-1,-1,-1,182040,-1,-1,297527,-1,-1,234819,-1,-1,897593,141686,-1,-1,360739,-1,479132,-1,279379,133135,703501,-1,984767,-1,951283,913547,7112,42661,-1,-1,15215,-1,316209,-1,147036,-1,-1,396636,-1,11785,811372,923808,941905,480886,-1,872372,831138,-1,268752,538740,-1,-1,-1,115575,926139,448993,-1,839893,-1,183242,-1,634461,-1,310378,175768,-1,938916,573939,-1,-1,303877,-1,860608,-1,360086,428556,-1,892121,-1,-1,-1,-1,-1,-1,-1,727770,400153,421011,-1,-1,-1,342378,336389,175960,763459,-1,-1,-1,25737,-1,-1,-1,16798,651903,599807,-1,-1,-1,309340,-1,816898,993303,119125,-1,-1,671779,-1,865935,832466,563725,-1,383029,-1,-1,-1,-1,-1,225162,739497,602780,-1,-1,391420,-1,659134,265703,690721,-1,-1,309834,584096,615128,322799,-1,-1,-1,373533,-1,-1,5099,-1,-1,596143,-1,-1,-1,865683,999712,686714,858695,-1,773885,-1,3125,-1,-1,18313,357786,987523,-1,310620,-1,344590,-1,-1,101539,-1,-1,181984,657186,291612,-1,390881,-1,501463,444853,60100,31328,-1,-1,843722,549320,737039,732035,-1,-1,676475,254179,850422,967391,717217,-1,-1,828530,296521,-1,-1,76282,-1,-1,450595,504001,494263,-1,-1,-1,63567,-1,905595,-1,-1,203030,-1,-1,-1,228517,-1,-1,122251,875289,-1,566373,110327,736795,929241,718148,349582,-1,-1,688445,697547,674315,252679,286864,174839,424322,-1,-1,715911,-1,-1,258166,731417,335152,-1,-1,156579,-1,541473,757496,670007,-1,799744,-1,243772,142338,-1,28798,-1,464821,-1,695272,717331,626291,-1,608461,-1,87408,403195,266865,860777,-1,100609,535459,-1,-1,-1,215912,378799,-1,-1,-1,365799,881259,842090,693980,-1,798083,-1,151560,-1,216891,-1,-1,-1,405580,333289,-1,-1,455065,-1,226991,548788,-1,-1,-1,556198,843306,45739,-1,-1,-1,553451,-1,654759,-1,570870,185161,-1,-1,-1,-1,-1,533296,-1,840848,331811,539821,231722,561241,573763,920965,-1,-1,649215,-1,850108,-1,394819,-1,827929,-1,487620,-1,249338,-1,-1,-1,583380,-1,841439,-1,788739,-1,-1,-1,280201,-1,-1,-1,243082,364029,738485,-1,-1,837131,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,36990,-1,345893,-1,-1,306715,591778,343149,-1,659599,-1,-1,971158,-1,464980,850217,243580,-1,682836,201413,-1,-1,334691,127349,56963,-1,670240,-1,292706,-1,-1,771382,88262,-1,978254,-1,595737,-1,-1,-1,55323,29879,-1,850777,615313,-1,674952,-1,-1,530610,788280,870026,-1,696371,187634,78331,-1,572699,283408,467010,-1,37568,-1,855917,-1,107428,698194,105901,-1,-1,429640,-1,-1,684588,147187,-1,235689,932493,-1,-1,93195,335046,748870,-1,333220,-1,42334,-1,-1,-1,827943,480690,191378,-1,-1,98258,242852,-1,-1,-1,-1,-1,-1,-1,-1,-1,249065,762205,-1,-1,-1,-1,307501,-1,308293,-1,-1,-1,-1,-1,-1,899722,-1,-1,-1,-1,-1,422062,-1,965207,757105,-1,-1,712268,923695,584734,540412,-1,971695,-1,561454,478311,-1,-1,584340,786508,-1,-1,274072,-1,-1,-1,748831,526952,-1,-1,-1,315470,493041,242313,574522,-1,477044,926366,-1,-1,683006,-1,-1,-1,602120,281391,369105,636294,-1,-1,-1,-1,7636,940904,-1,-1,-1,-1,-1,-1,-1,584499,-1,-1,-1,-1,961888,-1,-1,447873,644308,685957,-1,33832,-1,-1,744122,377128,289313,700200,-1,576605,-1,743814,609479,346132,799783,828240,-1,26865,613904,955215,-1,927199,-1,889956,-1,-1,424493,164581,501776,-1,233838,-1,244432,663450,210672,-1,-1,941910,-1,534926,-1,482153,302530,-1,868164,-1,-1,-1,-1,535949,-1,361432,338372,-1,-1,360413,477671,415225,-1,-1,241461,505003,33986,565341,-1,35030,327252,556115,-1,-1,185757,-1,767411,-1,-1,-1,767022,-1,310442,-1,-1,506610,310409,-1,734434,-1,461421,780926,-1,-1,420501,-1,330457,36876,554135,-1,231182,-1,631584,-1,-1,564107,869396,117822,34218,260748,854223,161239,470260,913782,297193,-1,-1,556284,101845,90074,-1,860378,-1,-1,659438,32395,-1,-1,-1,588447,189476,-1,554905,898706,-1,-1,-1,-1,-1,-1,682332,605698,785085,-1,314862,547653,940750,793911,557244,-1,-1,-1,296718,769992,474784,395645,460310,-1,-1,-1,244392,-1,356731,429112,285357,532355,269993,622983,972611,-1,-1,-1,-1,-1,-1,-1,-1,530153,692538,-1,-1,-1,493238,-1,-1,811677,-1,-1,-1,549595,-1,965894,258506,-1,-1,-1,-1,750713,-1,100516,110416,269240,-1,-1,410369,762806,-1,-1,-1,-1,149944,93964,-1,948865,-1,-1,-1,-1,542342,913928,493820,443254,305361,-1,59107,252785,317018,80335,322087,529190,859102,-1,267876,589882,-1,-1,60673,-1,-1,12846,-1,802516,473098,-1,-1,818449,-1,511767,16304,-1,568419,477839,-1,-1,-1,-1,-1,-1,-1,526293,803087,-1,-1,938487,363292,843374,-1,472986,47986,-1,645720,-1,673946,801352,375850,-1,-1,308472,869867,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,152109,-1,-1,-1,173138,-1,-1,437718,928608,-1,-1,-1,314267,811184,364235,882518,832994,580765,-1,304666,99530,-1,-1,757196,-1,-1,586982,-1,-1,768950,-1,-1,272233,-1,-1,606542,314856,212510,504342,786497,496867,850674,50463,340875,-1,212961,-1,-1,-1,145837,423428,638007,760268,795664,305223,1652,-1,819530,-1,863432,-1,963727,96363,552515,781927,12743,470960,295637,432643,416426,227406,854618,613556,677138,423679,-1,-1,649448,101353,734544,580052,-1,390417,935039,-1,-1,-1,967202,623265,461183,-1,928851,589270,-1,-1,-1,995132,53797,-1,950888,-1,-1,-1,-1,-1,-1,39487,-1,-1,-1,427201,379137,996638,220426,27622,-1,633297,-1,848537,19695,442765,207538,-1,-1,574203,-1,-1,80562,-1,629310,770196,-1,743679,25641,555601,-1,-1,388486,373207,471592,232632,919888,-1,284267,-1,-1,-1,-1,3089,639999,-1,-1,40961,-1,-1,-1,-1,241487,-1,581705,-1,-1,193252,158617,520191,-1,-1,-1,41295,513585,883628,-1,-1,-1,68768,-1,66546,532303,-1,160144,103949,206679,-1,233141,933259,-1,720895,564908,-1,48954,-1,341475,824363,608298,794703,-1,-1,-1,-1,-1,-1,551155,430653,-1,141895,874988,-1,32969,722411,-1,-1,-1,-1,629103,775271,961251,359766,-1,178483,895315,730239,906677,-1,675064,-1,738418,-1,684833,-1,13194,-1,-1,-1,-1,-1,-1,230388,118408,129571,-1,843973,-1,782775,664721,94417,390488,-1,-1,38480,-1,942672,-1,531076,-1,484877,-1,-1,-1,-1,-1,646342,-1,792230,560812,300444,-1,-1,-1,-1,-1,911698,-1,-1,-1,600379,57798,680486,777522,932005,731921,-1,127382,-1,216958,-1,-1,-1,435179,-1,695330,-1,571372,233929,562982,4420,-1,-1,261592,-1,-1,223125,456875,714032,475700,594977,-1,177369,145590,197127,510138,-1,413284,-1,-1,-1,-1,-1,657751,-1,-1,959428,-1,-1,-1,380734,978771,-1,891102,548790,987928,-1,-1,-1,-1,-1,879256,577351,360567,-1,147988,728570,-1,-1,131561,-1,-1,896435,-1,-1,-1,-1,-1,986512,-1,546639,-1,-1,-1,114877,-1,-1,-1,-1,-1,-1,647749,961858,-1,-1,822325,-1,-1,-1,244104,-1,-1,81359,-1,-1,-1,-1,-1,-1,-1,787051,-1,-1,128204,-1,-1,-1,-1,-1,-1,-1,-1,340131,-1,-1,422027,202677,462625,-1,623288,-1,545331,461503,733758,639780,866798,-1,-1,366002,134993,-1,617843,389393,775263,-1,611474,-1,344547,-1,758302,-1,-1,408496,294503,-1,-1,-1,890843,75661,-1,-1,-1,31089,246946,-1,896984,-1,-1,670996,340003,-1,-1,948131,-1,-1,516670,527480,-1,-1,436997,469307,23791,-1,-1,-1,-1,299662,-1,180357,-1,4168,-1,716864,-1,120924,-1,-1,-1,-1,784772,634355,-1,507186,-1,356226,812725,792050,48768,-1,-1,597512,185576,436428,886525,-1,-1,39120,811768,-1,660586,116849,-1,-1,172918,507773,-1,368349,989579,-1,-1,358924,398446,686732,796259,155878,680304,-1,900573,-1,378842,23970,573979,405208,-1,388079,981382,-1,218607,-1,514981,-1,43517,-1,415861,-1,-1,496804,-1,711011,-1,-1,29186,389018,756040,877006,111176,333196,450727,-1,-1,291729,-1,264807,434428,194734,-1,865088,283634,546678,-1,86030,-1,190690,488970,-1,-1,-1,451857,938756,-1,-1,-1,-1,-1,320326,13122,-1,314783,928133,-1,-1,-1,-1,941004,20052,-1,-1,-1,398681,368009,-1,-1,988871,-1,-1,-1,243191,-1,-1,-1,-1,798796,621128,170728,-1,-1,-1,571201,-1,466515,-1,919523,733572,-1,-1,-1,-1,125051,24067,-1,-1,-1,-1,-1,-1,905360,-1,-1,-1,-1,875248,-1,-1,678422,974400,-1,-1,732032,78691,-1,958249,-1,-1,403326,-1,-1,-1,413116,826199,-1,-1,-1,-1,666089,-1,-1,-1,-1,-1,-1,116434,-1,64500,112445,-1,-1,-1,-1,495065,-1,115769,-1,-1,-1,-1,-1,264005,-1,907852,740419,-1,56939,225078,-1,-1,200227,539904,-1,480128,-1,574570,-1,571946,628719,-1,609246,-1,382057,639366,-1,127546,419136,-1,266271,173091,-1,-1,-1,-1,-1,-1,-1,-1,-1,348927,-1,581945,-1,348487,-1,-1,-1,-1,-1,-1,-1,-1,400503,408177,-1,-1,-1,-1,109542,-1,524328,440010,594180,-1,-1,630211,886903,155222,492463,-1,-1,385691,14407,636870,712226,-1,587740,365270,-1,-1,868892,32343,767933,-1,908878,-1,-1,-1,797726,530435,54507,340709,609187,-1,-1,497687,-1,-1,315093,-1,612239,620880,-1,-1,893114,-1,224143,833274,313093,377251,-1,-1,-1,-1,-1,354130,-1,769817,529060,453769,-1,264070,-1,-1,-1,429227,808932,-1,-1,218674,-1,-1,698755,642055,728460,302061,750851,-1,897864,-1,953313,-1,-1,-1,-1,519607,229963,-1,113023,708128,126453,-1,303279,755769,-1,73951,618902,-1,-1,545016,-1,860416,-1,662888,-1,-1,414588,-1,-1,-1,531685,156872,781022,-1,-1,-1,876335,-1,-1,-1,-1,-1,307320,-1,404838,207573,-1,-1,-1,249939,-1,952224,239571,-1,-1,373986,19488,-1,404686,-1,998939,639230,-1,148497,-1,-1,-1,578742,-1,-1,676254,187026,-1,-1,-1,-1,-1,111366,777648,28327,-1,-1,-1,-1,-1,-1,607331,-1,-1,-1,-1,-1,-1,577028,-1,-1,665097,-1,353207,765916,-1,467561,-1,-1,639162,742466,758589,370743,215183,-1,882060,623711,-1,223224,-1,632867,-1,-1,351444,-1,-1,-1,-1,990247,955490,-1,46405,262810,-1,824481,-1,146031,466183,-1,-1,-1,898742,-1,800053,949893,496566,-1,-1,940831,-1,-1,-1,679691,-1,352779,94304,190774,1857,618907,880495,-1,-1,863833,-1,-1,134632,402020,936792,578505,-1,-1,-1,484536,205015,-1,737952,-1,834775,-1,-1,-1,-1,51034,500207,934689,659328,629368,-1,-1,-1,-1,-1,968803,-1,897273,910498,257555,-1,128818,626381,-1,-1,921359,-1,-1,322915,877014,75271,-1,324380,290971,-1,-1,163290,-1,201960,-1,-1,-1,25602,534226,-1,-1,-1,-1,449368,-1,725359,550034,970483,517177,-1,-1,464371,-1,762909,-1,-1,-1,-1,-1,341505,-1,-1,701716,-1,292623,-1,-1,-1,28212,-1,-1,-1,543699,-1,-1,228549,321590,966975,300964,-1,-1,-1,152202,-1,169701,975368,803231,427530,516321,161491,-1,323034,128643,591907,770374,199969,-1,632553,502879,321185,635298,508214,-1,12745,-1,-1,-1,-1,435294,271119,409196,339260,157107,-1,381448,202137,558065,997372,579438,-1,-1,34702,-1,204287,946203,-1,93786,164656,-1,140687,-1,-1,946359,-1,-1,-1,-1,-1,398426,-1,-1,997477,-1,-1,-1,-1,-1,-1,358794,-1,463134,-1,419325,-1,262559,-1,187798,-1,113127,597768,-1,-1,-1,-1,184311,324505,122082,-1,-1,-1,733760,7045,-1,178582,-1,365180,732229,-1,546993,89224,337322,-1,562501,568603,-1,-1,-1,849373,-1,-1,206538,-1,72560,-1,344297,723258,-1,-1,757056,-1,168275,-1,-1,979942,249258,-1,873370,140318,65022,790290,-1,596188,944340,-1,-1,-1,-1,-1,249223,842243,-1,-1,-1,-1,431363,-1,622605,228841,-1,-1,-1,826335,97469,605714,-1,451125,-1,-1,330739,323044,816081,-1,-1,-1,635028,899770,719227,-1,-1,535776,-1,-1,-1,482138,164908,-1,301489,-1,-1,-1,413447,-1,-1,-1,-1,283508,983203,362978,-1,-1,118807,-1,-1,822791,551074,24326,463607,802693,960963,390254,-1,652065,576652,-1,567151,-1,-1,160642,-1,-1,-1,409854,-1,474594,774789,499239,-1,-1,832714,-1,301819,738407,396874,382270,701989,-1,-1,-1,-1,-1,-1,419415,-1,-1,-1,-1,162600,65279,15750,-1,296732,-1,647598,-1,-1,397753,-1,-1,-1,330930,80204,-1,589918,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,769667,526984,851039,587628,473638,-1,307855,-1,123967,904139,876349,-1,-1,-1,958649,-1,955673,316101,733956,-1,863325,-1,-1,485512,140094,921129,947467,166037,-1,452746,718190,-1,-1,661359,-1,15549,-1,-1,41699,-1,225385,-1,-1,697061,992141,249213,-1,-1,935545,-1,-1,-1,6486,-1,291758,-1,-1,-1,248922,-1,-1,269599,703202,-1,-1,-1,109129,977076,320294,-1,-1,330896,630490,811112,272449,-1,95913,65260,22629,685601,460576,-1,449700,-1,-1,53611,-1,-1,604451,882059,-1,75016,495650,371910,693220,-1,594111,-1,156479,211800,-1,-1,531679,-1,54528,413103,380717,-1,144028,-1,-1,834254,-1,856648,-1,376243,615515,539872,274281,-1,396303,172352,895201,-1,-1,-1,759651,-1,33627,-1,565561,-1,-1,-1,-1,239041,-1,-1,-1,-1,476985,961488,-1,207848,326111,628512,15206,477314,-1,336333,-1,-1,-1,-1,620245,-1,422308,490786,563044,689201,723682,-1,711277,315171,-1,928025,975217,-1,-1,-1,-1,887179,-1,799711,-1,233250,-1,459460,-1,563061,-1,-1,483577,-1,-1,570457,-1,777312,47296,-1,187748,911531,98944,-1,-1,-1,758284,210185,685656,-1,-1,993512,-1,580143,-1,520957,623778,813064,470852,879952,624800,-1,361131,-1,457574,285836,618441,-1,-1,347664,267789,56910,403682,132127,797231,494496,-1,-1,851769,-1,-1,-1,-1,336985,-1,64621,763453,-1,587220,-1,695782,922820,741678,-1,-1,-1,769945,-1,684111,925315,3108,-1,958777,-1,978361,55520,100514,611952,-1,747022,653294,-1,-1,437630,-1,642807,-1,656571,-1,205440,-1,-1,-1,-1,-1,-1,-1,-1,-1,159805,559797,271188,-1,-1,694766,786831,892830,-1,816917,706752,-1,493216,-1,-1,454634,324111,-1,-1,-1,-1,981670,-1,749749,489025,343942,-1,467378,-1,-1,-1,165175,54496,-1,-1,503796,411064,588826,-1,-1,396337,-1,-1,-1,487313,-1,513109,540200,-1,471006,922825,179861,-1,-1,945990,653782,-1,147964,57948,-1,-1,-1,221252,-1,-1,336815,-1,-1,766126,366997,-1,-1,980984,-1,-1,-1,723525,975010,-1,62809,-1,-1,91903,-1,-1,195733,748019,-1,-1,-1,226343,-1,450005,41012,97014,-1,893952,272591,-1,-1,404093,616536,-1,-1,-1,470953,-1,-1,-1,-1,-1,-1,-1,271713,675023,-1,633329,735301,635948,699832,-1,-1,-1,-1,-1,857199,630399,32856,730612,-1,-1,627886,142455,344390,-1,-1,-1,-1,40701,669495,-1,431111,-1,-1,932952,-1,808003,-1,-1,-1,-1,-1,832081,-1,-1,-1,-1,-1,984882,237993,-1,928157,-1,-1,-1,267586,989035,-1,669350,-1,-1,-1,509782,-1,855446,334169,-1,-1,531227,724180,880099,-1,-1,446129,-1,419925,545589,-1,35937,173358,-1,-1,-1,-1,173907,-1,138866,414231,1873,-1,-1,-1,-1,-1,-1,837121,82633,-1,-1,-1,689124,930693,-1,724636,-1,417611,275594,-1,-1,536465,-1,794908,-1,149293,-1,-1,778258,934849,742917,-1,540076,-1,-1,-1,-1,936366,-1,40612,450922,-1,896945,-1,-1,494928,-1,70650,-1,-1,890291,-1,-1,-1,-1,937804,-1,-1,-1,558301,255872,-1,477444,528264,-1,319341,286819,1305,959491,66809,-1,-1,745826,282273,660044,520798,-1,-1,-1,-1,202086,149974,690751,-1,933465,506990,-1,-1,-1,-1,-1,748947,649089,-1,-1,881213,-1,-1,-1,-1,124538,-1,559189,-1,459275,929318,-1,129066,-1,981509,-1,702715,298593,293333,84098,13516,-1,655690,-1,-1,568256,979766,-1,641901,-1,503760,-1,46547,-1,427239,42408,-1,-1,210957,-1,186923,-1,30750,-1,499897,-1,-1,321999,558182,-1,-1,16661,868296,399336,961249,-1,-1,-1,-1,-1,-1,370773,-1,-1,-1,891592,-1,-1,924064,-1,423793,-1,-1,920695,-1,-1,-1,-1,287978,617379,-1,-1,-1,-1,911473,-1,131451,-1,-1,-1,-1,383865,950345,684674,-1,-1,-1,-1,731428,867663,-1,-1,-1,25842,-1,-1,-1,-1,630852,279371,-1,145272,-1,-1,56883,-1,-1,162884,-1,-1,263538,529389,-1,-1,309766,-1,-1,-1,-1,-1,665098,969079,-1,-1,98300,623241,-1,-1,-1,-1,113352,-1,312410,-1,125092,-1,891062,630930,-1,-1,882295,-1,-1,359,-1,-1,-1,106989,-1,-1,-1,-1,342816,-1,918724,-1,269162,-1,-1,-1,409593,-1,-1,75142,607107,254237,-1,831201,761145,-1,180489,-1,-1,-1,-1,232661,637366,-1,-1,-1,32045,926419,-1,-1,458580,807750,583214,-1,-1,-1,-1,611875,-1,716339,-1,487111,674730,893083,-1,-1,980892,-1,7308,892879,-1,-1,334136,440190,701936,-1,-1,-1,54452,419394,112242,-1,350571,-1,770169,246307,-1,845935,-1,-1,-1,411605,23156,144817,-1,-1,969747,690510,-1,-1,131486,580874,-1,-1,-1,-1,231597,900187,-1,-1,-1,-1,224660,-1,-1,622805,690887,566272,575449,-1,-1,-1,175054,919418,769770,807052,-1,912827,-1,930381,-1,-1,217162,484692,-1,837246,-1,680547,187263,-1,695531,542753,-1,-1,608074,-1,654245,37083,-1,559138,-1,-1,-1,721888,860967,-1,804147,783681,-1,-1,890275,607569,-1,991445,-1,-1,-1,498889,516890,689282,394401,-1,92539,-1,202770,762913,899816,228526,174343,602699,-1,-1,99606,-1,-1,870691,131804,626336,517919,237408,62344,342204,-1,-1,-1,-1,879045,-1,353584,-1,-1,916452,971650,-1,977473,993625,336327,-1,-1,-1,524867,207325,450587,331444,-1,561329,738893,227492,815006,-1,-1,311886,-1,232562,-1,-1,383748,-1,179827,-1,307893,-1,245952,-1,-1,225675,34327,-1,427099,-1,994267,387431,662689,-1,336175,-1,104798,554910,963161,-1,37955,41287,-1,583424,-1,-1,-1,575102,-1,722370,771090,-1,9332,-1,594798,840885,-1,101652,-1,873242,703211,616681,955275,-1,17003,-1,-1,782190,-1,-1,-1,218943,-1,-1,-1,896498,-1,-1,462538,719232,-1,-1,353929,868096,773578,-1,910868,219780,703511,439325,-1,-1,925868,-1,-1,215635,737406,-1,-1,520709,-1,-1,-1,-1,175797,95064,429497,-1,-1,-1,-1,-1,214928,940226,-1,-1,230298,-1,156484,-1,-1,945770,-1,-1,120670,-1,-1,-1,-1,746351,-1,465384,-1,-1,-1,537745,-1,-1,547614,-1,802593,-1,942230,901034,485850,-1,308210,-1,-1,491403,967646,153603,529724,-1,-1,474158,-1,-1,525038,704904,414678,-1,-1,709694,768613,338633,411294,-1,-1,705052,760389,654584,-1,-1,-1,262505,295510,998241,817133,-1,863864,435960,331164,764497,-1,-1,-1,-1,235488,766940,-1,500066,-1,529765,-1,-1,173227,-1,470547,44988,968178,932360,669874,725364,474565,762862,-1,-1,-1,-1,39630,956399,-1,210523,509623,126149,58226,-1,554493,974285,529758,893849,79508,537644,58634,-1,-1,65752,-1,-1,430153,854677,-1,730791,846293,492278,-1,-1,-1,406312,-1,906628,-1,-1,822723,874776,132064,532035,-1,-1,883533,-1,491850,375998,654227,-1,-1,-1,591210,-1,402653,-1,-1,849921,-1,-1,-1,30311,-1,-1,293689,576139,265845,573070,430879,-1,480933,-1,292192,-1,-1,-1,-1,868147,140873,-1,100614,-1,-1,55085,387028,24,672001,321276,-1,644402,372051,-1,-1,735770,-1,457393,662267,-1,-1,-1,313996,-1,221125,-1,-1,-1,6358,-1,756919,-1,16336,113906,811581,485828,-1,-1,-1,-1,840341,789141,646975,777093,557655,-1,-1,-1,-1,-1,-1,96428,85480,-1,-1,-1,-1,-1,157221,526236,245404,-1,-1,-1,804958,-1,297153,-1,186704,663933,-1,-1,167704,104853,-1,-1,-1,847305,-1,516136,-1,-1,-1,390527,430086,812489,117359,643304,868968,-1,633038,152840,-1,-1,-1,749193,173680,647606,-1,74057,-1,-1,963050,-1,902176,291285,-1,487546,-1,-1,542210,-1,521206,-1,587331,-1,484087,124216,4556,745346,783700,329266,-1,-1,-1,-1,959771,-1,615388,-1,720808,539965,352963,-1,-1,453776,31384,-1,91604,-1,288570,-1,478395,187656,-1,-1,-1,383094,-1,-1,-1,-1,519696,68495,-1,81599,336813,-1,287184,-1,465045,108733,-1,494075,-1,705723,-1,-1,388199,917059,-1,-1,836983,-1,-1,-1,526890,-1,483683,391284,285600,-1,-1,-1,626365,932440,128144,523758,-1,-1,634903,358789,931590,-1,-1,-1,773969,-1,806757,433488,-1,746246,725264,-1,-1,-1,38721,352826,-1,-1,-1,182230,436337,-1,388167,443149,469244,661583,574222,449379,-1,-1,-1,392806,328690,-1,450634,-1,-1,-1,825737,-1,-1,16485,-1,-1,582402,-1,999081,-1,-1,-1,-1,33562,203929,683797,-1,56829,-1,471653,942804,-1,-1,-1,616231,-1,-1,-1,361337,-1,-1,127279,-1,984565,339156,-1,393320,-1,-1,-1,-1,701742,741956,-1,458618,-1,532356,667456,-1,-1,-1,745895,-1,703934,900231,815661,-1,232807,564237,187628,-1,-1,-1,890757,-1,-1,-1,240583,-1,687436,306125,-1,240372,-1,580904,-1,-1,-1,944079,-1,-1,-1,978500,-1,-1,644873,-1,-1,761085,990196,727573,766939,-1,736449,-1,-1,-1,-1,-1,949679,20077,-1,-1,336721,-1,-1,-1,35863,739048,-1,842209,532660,100317,56060,-1,134455,930253,-1,613725,-1,115445,-1,31572,525792,-1,13958,-1,384368,683992,384552,285742,434345,-1,575757,499217,275449,720172,125115,-1,-1,-1,-1,535213,-1,-1,615573,752754,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,507384,165278,-1,-1,722936,74931,-1,799722,-1,864780,-1,193248,-1,-1,396533,-1,133287,-1,-1,-1,888834,37365,-1,-1,371166,167041,-1,786184,133242,276007,-1,-1,-1,-1,-1,-1,-1,-1,-1,119917,-1,674552,530261,-1,-1,477298,-1,-1,-1,-1,-1,239867,-1,-1,799875,-1,971389,613528,-1,986974,998511,-1,-1,640219,-1,-1,-1,-1,-1,253024,588194,-1,392206,-1,-1,-1,-1,567835,-1,169335,-1,-1,626222,325896,-1,-1,-1,826681,-1,321374,-1,-1,722992,590653,144092,-1,-1,349992,131038,87437,-1,462982,931964,951663,-1,269524,476757,106533,243205,-1,-1,-1,-1,-1,536897,824374,-1,249305,-1,634795,-1,386077,911565,-1,812557,415757,-1,-1,-1,-1,440709,-1,192551,789975,341196,72238,-1,-1,376960,652812,698278,513963,-1,-1,378565,641231,-1,464240,439574,683248,386214,111168,-1,-1,-1,-1,815593,-1,-1,-1,809903,332684,-1,138598,-1,-1,86787,-1,581244,496012,627531,436901,713400,620125,-1,494707,632256,-1,-1,-1,332639,403235,-1,-1,-1,-1,-1,-1,-1,-1,646932,-1,373386,-1,-1,-1,287385,-1,-1,869680,-1,-1,854015,-1,-1,592382,8768,425762,-1,724342,-1,829500,159006,329974,651875,669404,-1,344196,-1,462336,-1,-1,-1,462814,-1,3597,-1,16552,-1,258266,954392,966328,-1,-1,-1,-1,-1,-1,538596,863709,255844,186995,-1,513028,919387,131526,359566,-1,-1,-1,879151,817024,801150,963970,-1,493174,-1,-1,588113,-1,365990,218061,-1,963216,684920,-1,619561,287892,-1,374232,467292,-1,873845,606347,-1,155678,748688,306109,97812,-1,23188,-1,693791,-1,825658,-1,-1,-1,36741,-1,374636,-1,791324,164655,-1,490109,925934,594360,-1,346163,-1,867809,791012,929452,602535,148724,-1,145430,-1,766138,-1,-1,686034,464978,421019,62062,-1,-1,950043,-1,-1,-1,-1,-1,-1,410645,983065,801869,-1,283099,-1,170893,-1,843166,984403,778783,-1,-1,513604,-1,526774,891253,405793,772021,721325,480223,-1,-1,395600,831234,933249,-1,338383,81729,309337,-1,-1,526395,777453,-1,-1,823670,887225,628262,-1,-1,-1,-1,-1,-1,489089,135923,-1,596410,-1,-1,-1,-1,623700,-1,-1,-1,-1,130948,206030,811378,780439,-1,667821,-1,660536,-1,521143,370038,-1,391915,225050,-1,382580,-1,302973,716141,-1,-1,315494,387319,-1,547789,-1,965816,990669,743319,-1,-1,-1,-1,-1,373238,440788,365053,-1,-1,932506,467777,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,63098,-1,-1,-1,-1,579345,-1,916318,621086,620248,145075,370105,132166,175405,-1,471774,404826,-1,-1,-1,445475,-1,12820,-1,690000,-1,728879,-1,-1,653564,955587,895318,318977,-1,-1,-1,-1,809731,-1,-1,555095,-1,-1,-1,-1,-1,389559,876830,-1,394435,-1,134086,152722,368898,-1,912668,65955,-1,687783,-1,-1,377417,517836,-1,-1,-1,902065,545987,-1,507232,-1,508986,-1,-1,-1,559789,716406,-1,429110,971092,502211,962788,-1,-1,-1,-1,-1,278928,-1,-1,-1,369589,-1,-1,959214,974305,-1,550995,-1,-1,-1,944155,836201,534672,727680,-1,47498,-1,-1,-1,573334,808679,-1,-1,813328,722989,-1,188898,341689,524591,-1,-1,-1,19193,-1,-1,-1,-1,-1,5864,-1,81504,-1,-1,317538,798446,-1,104322,-1,996406,-1,868027,84405,-1,149034,882559,65164,-1,922798,343833,33364,977975,901776,-1,423525,-1,-1,-1,-1,-1,-1,388269,-1,302099,-1,492371,-1,174802,663074,-1,288029,658585,570505,-1,-1,-1,883291,84739,-1,-1,560858,-1,-1,-1,234350,733255,28274,738577,-1,631055,-1,-1,19216,-1,-1,-1,-1,-1,-1,948260,501164,696203,-1,-1,857828,953595,-1,488227,-1,-1,-1,-1,-1,804472,726704,937154,-1,658073,-1,-1,633993,-1,333952,732208,146614,432368,550543,709582,432640,-1,910360,-1,173193,-1,686515,313300,836626,-1,250647,-1,818542,-1,290857,-1,-1,-1,-1,473555,300693,-1,-1,-1,271836,-1,-1,-1,172584,-1,-1,230216,-1,-1,308713,-1,-1,985651,-1,-1,795617,-1,-1,-1,757083,-1,810252,427790,264330,494878,567225,224601,748853,200128,-1,-1,693295,-1,-1,362085,194345,630612,-1,182812,-1,221586,-1,875005,748700,-1,-1,-1,-1,363299,729558,-1,-1,-1,657822,479205,155361,-1,227551,-1,-1,113997,-1,-1,2276,-1,602614,584254,-1,957316,-1,611582,716650,-1,-1,-1,-1,-1,831590,209858,-1,596963,-1,18052,-1,633935,-1,706300,82158,-1,-1,608574,-1,-1,-1,-1,725225,-1,969179,-1,-1,187816,-1,501844,380283,-1,110216,-1,-1,895486,-1,-1,12001,-1,938638,-1,-1,-1,901959,-1,312185,840560,714512,-1,-1,83094,-1,889461,-1,-1,812016,-1,-1,-1,-1,833197,-1,48581,-1,-1,-1,930870,-1,674533,-1,166166,811097,-1,-1,-1,-1,-1,580866,176910,-1,-1,-1,-1,-1,613384,-1,971599,-1,-1,-1,-1,-1,326108,854345,-1,-1,16037,-1,-1,314467,-1,238688,-1,132673,-1,-1,-1,-1,529859,-1,976925,-1,-1,-1,-1,19437,-1,-1,725517,893480,-1,-1,558518,-1,67581,-1,-1,666999,885349,45684,-1,871871,-1,942356,407135,-1,-1,65274,574971,-1,-1,-1,103981,881459,-1,-1,-1,-1,573637,37754,-1,-1,-1,538455,377550,-1,155066,-1,870418,229959,-1,-1,-1,-1,687660,-1,-1,631934,-1,79406,-1,-1,-1,-1,-1,-1,692080,-1,194016,685878,237945,-1,-1,-1,-1,79155,-1,-1,216328,-1,650818,374923,4812,-1,939180,979306,-1,-1,894062,-1,925284,-1,-1,-1,-1,743842,-1,-1,90797,889360,745498,-1,-1,477498,502470,-1,-1,53084,-1,-1,-1,-1,-1,94085,180893,-1,-1,932802,-1,597678,134213,-1,596918,-1,314042,96516,276371,514377,104680,920712,-1,818820,-1,-1,-1,835548,106402,833189,-1,101511,480437,201562,153661,-1,-1,-1,-1,-1,-1,271780,992034,-1,927404,-1,-1,720919,812254,686693,262746,194296,350263,903266,-1,-1,439291,-1,12542,18992,-1,-1,-1,-1,215154,-1,217579,-1,678162,308571,-1,-1,681966,639652,785568,877433,71572,21532,800714,261510,197950,280499,159817,686137,2174,-1,-1,-1,287765,198312,472100,782576,-1,-1,728250,-1,650666,103168,59698,836463,-1,-1,246998,603655,-1,866706,-1,-1,66141,403794,136395,-1,136159,-1,-1,-1,539194,-1,787262,996347,-1,-1,-1,285887,746264,416805,-1,-1,560335,-1,179353,-1,251829,-1,-1,670511,-1,27343,-1,707732,700460,633958,277484,757987,-1,-1,-1,-1,-1,285860,-1,635427,-1,254788,-1,-1,-1,627101,904816,-1,548265,498745,-1,545452,278080,591554,667591,869389,132657,271865,-1,-1,148913,-1,-1,873450,-1,-1,460191,-1,719811,375910,757544,-1,-1,-1,379016,-1,34078,673593,-1,-1,386992,816766,-1,-1,955757,-1,277566,587989,-1,-1,-1,-1,-1,88968,-1,-1,-1,-1,-1,-1,166342,-1,80325,543228,58576,120288,-1,-1,-1,217172,113257,-1,-1,-1,-1,-1,777964,-1,-1,36387,-1,-1,151090,-1,205484,-1,167401,-1,-1,556837,202807,-1,-1,-1,-1,992649,514380,875921,-1,360878,876643,-1,811170,-1,-1,697532,678921,-1,-1,-1,-1,918929,-1,-1,-1,210831,184020,-1,-1,91348,-1,-1,478083,722135,321772,-1,990561,-1,176551,-1,-1,-1,184251,-1,426162,-1,566892,-1,-1,68348,976156,823204,-1,-1,145942,-1,-1,266039,-1,-1,33957,786776,-1,-1,496577,266146,271360,547124,385581,-1,433303,577163,148488,728732,-1,783519,-1,403229,577747,172973,-1,-1,617367,-1,97866,81499,916158,105910,-1,-1,-1,-1,585367,-1,784629,490726,207934,73750,735255,-1,-1,-1,828223,554621,-1,-1,-1,-1,495070,-1,82423,842530,616377,384102,-1,438903,-1,-1,97883,457716,915303,-1,706709,846740,840194,356124,295185,443757,615682,714399,-1,-1,-1,-1,-1,948956,269658,87801,279106,433564,309025,613158,-1,328893,-1,172259,151843,-1,-1,201467,283351,-1,946289,342477,905322,74996,788570,229165,-1,-1,937790,-1,-1,-1,-1,-1,-1,-1,-1,-1,275983,-1,369056,-1,-1,-1,-1,-1,-1,729608,324560,-1,-1,-1,-1,496064,403699,662557,-1,70772,985508,-1,-1,-1,-1,-1,-1,625511,255940,-1,-1,-1,-1,-1,369111,-1,-1,-1,641178,-1,295859,-1,883350,764662,462764,983751,-1,-1,72447,-1,-1,702445,742211,673728,-1,432908,-1,-1,-1,-1,-1,-1,32128,144888,507519,-1,567907,857686,-1,-1,763766,233880,152209,-1,-1,507243,24451,-1,-1,422227,48731,375184,923380,-1,660150,-1,-1,740992,726634,-1,544906,73079,813863,-1,-1,461334,-1,-1,229320,533380,-1,984518,-1,492406,-1,715168,-1,903753,-1,451320,-1,494108,-1,766793,-1,539480,-1,584720,-1,-1,-1,82011,-1,452721,77474,-1,65615,-1,-1,-1,680867,778939,-1,259882,-1,-1,-1,296404,-1,-1,-1,-1,185982,-1,-1,465703,976674,-1,-1,607279,-1,438016,180850,-1,657933,-1,-1,-1,-1,-1,244985,-1,995839,-1,319066,-1,-1,467289,895830,-1,655541,72044,-1,-1,-1,379080,293756,516953,926522,-1,-1,-1,812599,-1,550922,-1,-1,-1,567395,-1,-1,-1,972199,-1,-1,399632,-1,132611,776584,-1,878391,-1,-1,352513,-1,-1,812533,766120,601786,227807,450103,575248,-1,-1,426520,320957,665434,-1,-1,-1,-1,161537,714691,-1,94438,-1,206409,-1,-1,994927,-1,-1,850269,-1,728444,-1,-1,-1,206496,-1,556755,-1,-1,-1,-1,-1,-1,160462,-1,-1,-1,-1,-1,766347,187027,-1,606577,99109,-1,783823,281541,820120,771410,-1,-1,633145,-1,217054,-1,-1,-1,208421,-1,688135,564729,-1,-1,-1,-1,-1,59274,-1,-1,-1,589518,-1,728692,28996,915262,-1,-1,90532,-1,-1,604468,43176,859487,184276,-1,164238,-1,-1,187779,576760,916423,-1,-1,910071,916674,-1,547528,-1,-1,-1,-1,-1,709778,385543,-1,-1,-1,-1,388961,-1,-1,664497,-1,-1,-1,-1,-1,-1,745745,-1,-1,248138,-1,398772,-1,-1,524168,897835,622289,813867,651384,-1,777452,988526,99758,762615,728208,885066,-1,189135,647317,-1,357281,-1,-1,481091,509261,4400,-1,-1,-1,-1,-1,755753,941801,-1,233930,624310,-1,944422,785547,-1,74624,-1,-1,-1,-1,-1,358722,242036,-1,-1,-1,115577,-1,658810,71329,529962,527266,-1,802842,29946,175867,448064,-1,-1,104574,-1,134108,-1,589135,-1,-1,-1,-1,-1,7258,346243,74432,393319,-1,-1,-1,811813,-1,-1,542779,587880,-1,-1,311984,806927,-1,-1,-1,-1,398810,-1,509849,338877,-1,660987,472991,-1,-1,125225,-1,741209,-1,-1,754468,-1,-1,49941,-1,995084,-1,-1,-1,-1,247253,273021,86299,299687,-1,-1,812319,567138,173662,-1,-1,-1,657384,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,352776,64333,-1,210868,-1,709414,-1,-1,-1,-1,372650,879526,-1,359435,237975,-1,-1,785174,-1,56196,-1,955568,417185,782794,-1,806830,-1,280098,827357,92321,981996,161711,838616,291179,-1,-1,212056,-1,331726,-1,-1,15502,564182,-1,-1,379854,-1,-1,440397,684182,-1,-1,-1,987491,-1,-1,732287,570230,823136,-1,-1,728964,498641,327100,-1,900317,-1,508803,50086,563360,891369,994356,618464,-1,650569,-1,-1,-1,137329,483463,-1,-1,41467,418278,-1,-1,594400,-1,-1,-1,-1,-1,521097,898941,-1,-1,743997,572929,461383,861240,-1,811996,155527,-1,-1,-1,935852,149647,-1,-1,-1,-1,37304,558804,-1,-1,139192,-1,-1,-1,-1,-1,576089,-1,391212,701195,141172,218837,-1,917074,-1,-1,319362,-1,-1,33189,-1,725396,58211,-1,-1,459716,-1,-1,986183,-1,-1,452434,126927,337354,450457,444848,964885,-1,-1,46254,-1,-1,915395,788975,488072,258858,936186,-1,33336,-1,130420,308729,830048,-1,-1,-1,991860,741817,405794,-1,-1,-1,-1,-1,-1,336371,-1,879219,282106,-1,273920,420232,723742,-1,-1,67706,-1,476674,-1,781708,447982,845388,903113,33197,-1,-1,-1,-1,-1,-1,-1,129930,-1,259226,-1,281416,368296,470430,-1,132159,-1,-1,-1,-1,-1,755906,603168,-1,-1,665522,235155,-1,180626,-1,-1,245449,-1,859597,692161,512449,769744,465965,-1,-1,-1,-1,-1,-1,-1,744652,761926,122109,-1,805611,-1,989967,-1,107453,865377,-1,-1,745765,34596,253790,532592,756198,-1,581389,-1,-1,728221,-1,911368,-1,956231,230767,-1,-1,-1,737072,-1,877625,154442,533665,-1,597046,-1,715382,-1,307945,288956,477693,528956,179287,-1,-1,774370,780268,-1,844654,157884,-1,-1,-1,909848,-1,-1,-1,-1,24752,-1,-1,-1,-1,-1,151117,-1,706402,-1,889163,-1,597383,327231,-1,855412,-1,-1,-1,682964,-1,658008,-1,763273,-1,172038,-1,-1,-1,637315,-1,-1,-1,97750,-1,398195,-1,-1,-1,-1,-1,267699,170661,755741,423610,102563,-1,-1,-1,726070,600664,747448,598094,-1,156014,-1,495048,-1,-1,-1,286808,131920,346236,734861,78228,-1,459751,-1,-1,440485,-1,402129,187877,-1,-1,763105,-1,-1,-1,-1,-1,-1,-1,-1,701312,741893,-1,-1,-1,-1,-1,-1,929375,53438,550726,-1,314982,233400,311236,36252,-1,148291,-1,-1,935660,144503,-1,-1,-1,937542,-1,-1,-1,-1,582217,286713,-1,-1,-1,-1,425358,847676,813649,-1,-1,387587,94358,-1,-1,-1,997299,434529,27157,684154,766963,-1,804485,521999,-1,-1,-1,258800,670233,-1,343310,-1,-1,432170,524941,315824,-1,375829,791212,-1,691990,699796,702932,47683,-1,-1,-1,140717,-1,-1,-1,-1,-1,-1,527998,-1,516002,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,687977,-1,699313,-1,999171,-1,-1,486086,544924,-1,-1,758280,747093,340788,379282,-1,-1,-1,676225,-1,110687,-1,230706,-1,94615,724416,693947,829280,667837,-1,-1,-1,-1,990400,774115,-1,-1,-1,-1,246765,-1,621986,-1,-1,-1,760262,-1,-1,-1,828388,796906,887013,-1,-1,260904,455622,-1,727116,892448,-1,660657,-1,-1,805073,472084,353460,850503,837496,-1,-1,-1,-1,517238,-1,428594,701229,199818,-1,-1,-1,-1,-1,751931,-1,297371,217104,-1,-1,-1,-1,879157,-1,494667,-1,399777,962836,848292,570942,127791,-1,705405,4357,573839,19903,761197,263373,363568,567340,632384,-1,346431,410768,666410,-1,595481,441956,-1,503303,10808,-1,393208,-1,-1,-1,-1,835605,144607,-1,646395,160213,-1,112593,-1,-1,165659,-1,129675,-1,-1,-1,-1,318410,-1,739937,-1,901272,-1,-1,-1,-1,-1,-1,596803,-1,-1,898,-1,-1,-1,-1,546395,-1,-1,-1,998305,523737,460414,723058,-1,901498,-1,-1,-1,854344,-1,727677,606554,338971,-1,-1,877516,30977,748849,-1,-1,234412,-1,404267,878225,620871,812270,128828,-1,514920,598598,627606,-1,-1,-1,954017,-1,-1,-1,-1,418315,137427,384359,-1,-1,-1,254687,944388,-1,359941,-1,-1,349818,-1,-1,-1,-1,-1,-1,43567,-1,626799,870342,-1,-1,-1,185571,-1,-1,-1,-1,-1,-1,-1,486794,-1,601455,-1,883947,779542,907980,-1,842871,-1,4563,-1,206175,-1,-1,-1,4164,403114,-1,-1,85558,380175,-1,-1,542368,-1,968156,653145,-1,946913,-1,-1,260025,-1,356335,-1,-1,969660,690182,637871,-1,-1,92927,-1,-1,454805,687042,-1,737733,26274,-1,920307,-1,956691,-1,-1,90166,-1,-1,-1,967736,929712,-1,-1,-1,-1,374220,-1,137660,701636,-1,-1,-1,561142,491854,549936,110448,478166,168345,-1,657442,-1,70078,811109,-1,902202,437130,-1,525451,6277,241766,-1,969041,835656,-1,729126,-1,-1,-1,68504,880529,413444,-1,-1,-1,868729,809273,-1,687839,500517,-1,310997,-1,-1,-1,879419,851991,-1,-1,-1,-1,-1,391382,35419,243951,345785,-1,685552,-1,401666,-1,629775,233218,527147,10704,405301,842455,-1,210495,-1,-1,164040,943120,-1,-1,680877,463295,-1,415333,-1,715532,-1,309977,-1,-1,312965,210712,387299,426496,-1,-1,974090,820631,984324,363271,11434,440880,-1,514796,-1,727411,-1,149250,821797,-1,-1,-1,-1,498112,-1,-1,-1,-1,-1,-1,421591,-1,884786,441315,-1,165157,-1,871149,923422,80380,-1,531490,490084,300295,488230,576854,470923,-1,125805,613659,-1,-1,590158,443409,783936,276731,383622,396304,347995,761931,978977,-1,139755,262666,-1,574018,-1,-1,-1,518733,691299,-1,786699,583863,508335,733072,457641,760911,-1,-1,-1,-1,252354,824053,476136,305655,-1,300794,-1,-1,-1,-1,-1,958910,-1,-1,559335,88396,537572,897488,-1,217319,722285,278977,-1,586838,915170,-1,360522,598638,83996,685377,190287,445880,947331,-1,271420,-1,-1,219522,719902,-1,-1,-1,-1,-1,115569,-1,398496,-1,900501,89549,296754,-1,863008,329962,-1,700750,381425,137288,799456,691354,-1,422582,-1,95471,504693,826306,-1,-1,-1,-1,-1,-1,-1,463313,-1,876964,-1,-1,925374,513026,-1,-1,505349,-1,-1,-1,-1,928618,-1,200332,338793,-1,859074,-1,-1,-1,458698,-1,949203,344871,-1,-1,-1,438223,212126,-1,-1,667020,-1,897244,-1,-1,541995,992165,-1,-1,333656,-1,-1,-1,472629,-1,63129,-1,35998,114041,-1,843596,537212,470970,-1,-1,700143,-1,-1,-1,-1,962736,551080,-1,53885,774720,-1,-1,623090,-1,-1,-1,267599,673434,856564,-1,-1,608490,224248,-1,514563,945453,443013,111637,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,300926,955009,-1,219951,943255,-1,-1,816723,-1,-1,-1,-1,652714,-1,836457,593201,-1,737138,191957,714884,-1,-1,596958,979016,149420,-1,-1,537725,310332,-1,-1,366841,111638,676602,-1,986892,-1,104177,712139,-1,-1,-1,821646,434033,-1,-1,-1,759498,-1,-1,-1,-1,-1,-1,-1,486760,715115,401406,295114,340575,163520,-1,-1,813813,-1,187231,275632,468715,-1,10325,-1,-1,992936,203943,602570,-1,324288,282159,-1,-1,415058,685707,-1,-1,899529,705058,278652,-1,-1,193833,-1,383119,-1,54819,-1,414969,260906,386302,301218,-1,249257,320860,503031,-1,-1,143896,-1,-1,-1,-1,-1,-1,712415,-1,401109,809938,840858,354786,-1,335171,85767,-1,-1,389693,19635,-1,-1,152395,891802,-1,632251,-1,528352,-1,173200,381772,26475,145608,318751,451588,-1,776895,882154,-1,222663,95846,-1,-1,-1,993685,-1,753050,546947,-1,-1,-1,355403,934878,576313,979643,448285,615665,-1,-1,-1,-1,-1,-1,-1,-1,88083,-1,-1,-1,77155,585764,416276,-1,-1,-1,-1,700601,755743,868479,-1,-1,523544,279425,357655,930458,181964,-1,70761,620779,-1,720899,733910,903960,-1,-1,758416,402798,467712,427449,94762,667299,209224,566747,989087,-1,16695,-1,-1,694940,-1,-1,614389,-1,85331,733825,-1,-1,552365,-1,-1,767532,-1,-1,210982,-1,-1,715176,482176,12297,-1,-1,-1,-1,105089,428560,-1,-1,656508,-1,-1,-1,680004,237031,-1,934311,469483,-1,-1,812839,-1,-1,-1,-1,494637,-1,690368,-1,-1,559547,926115,927426,333956,-1,-1,467989,569165,-1,500073,-1,602898,-1,-1,-1,-1,35588,-1,644689,-1,266935,262884,-1,742509,532317,491421,-1,-1,-1,863587,-1,-1,-1,-1,-1,457903,686367,-1,280099,-1,474232,705859,808622,-1,-1,73290,-1,660528,-1,-1,-1,-1,-1,-1,-1,816457,-1,638365,-1,-1,433865,-1,136944,-1,-1,834687,934852,756366,27231,782248,33851,116642,-1,811025,-1,-1,628897,-1,108685,279119,-1,229323,-1,786152,-1,-1,-1,-1,415519,-1,161487,-1,-1,933026,-1,537087,722894,814176,-1,442869,511378,927119,687100,896378,336074,-1,575457,-1,323832,88115,-1,925306,131659,-1,-1,-1,673027,-1,-1,260122,-1,636471,170547,851642,-1,-1,-1,-1,321930,681476,-1,538151,674152,-1,44596,141877,-1,-1,-1,-1,26638,-1,263006,535798,-1,-1,-1,-1,-1,446245,-1,814576,-1,-1,632047,201326,725217,-1,446590,-1,247161,128035,-1,-1,-1,-1,462081,-1,-1,689904,698883,393622,-1,461410,-1,203284,136722,-1,837980,204471,-1,725292,-1,-1,-1,682614,469026,-1,-1,-1,-1,943862,936447,720451,-1,-1,801614,813786,937668,-1,-1,256890,435948,559012,743662,-1,898033,-1,127479,408488,-1,-1,356975,-1,-1,-1,355663,-1,-1,-1,850525,-1,-1,757805,-1,-1,-1,-1,-1,213908,760340,-1,-1,934573,949754,109223,-1,265899,153530,-1,447342,421335,286508,571635,330648,834990,622294,-1,525020,343911,-1,497099,-1,827450,-1,-1,-1,-1,688246,-1,-1,929600,-1,937108,243526,-1,-1,-1,332289,-1,979976,400200,-1,-1,280190,746386,900477,-1,-1,313799,-1,-1,294872,-1,-1,-1,-1,-1,519913,849980,605189,916996,-1,-1,644193,-1,781287,884435,-1,564982,-1,429687,-1,275444,277260,688709,-1,665439,-1,-1,395835,704952,748723,585912,767414,597547,-1,-1,-1,-1,-1,-1,-1,305680,744896,425592,780972,-1,-1,808075,804610,-1,-1,-1,-1,36189,123957,-1,925539,581264,335907,-1,225217,-1,-1,726899,786920,846407,231362,-1,-1,906574,965538,15747,-1,-1,-1,25470,-1,-1,-1,447285,22861,-1,-1,222309,-1,138703,86742,-1,-1,-1,-1,768789,-1,209298,536395,645642,-1,-1,-1,445857,-1,-1,448431,-1,796824,217512,-1,955496,374719,551031,749197,384222,265183,258102,63405,383896,-1,-1,423114,922477,-1,-1,710763,-1,523647,-1,-1,522643,-1,-1,-1,883949,-1,-1,-1,-1,-1,-1,951078,267324,-1,13481,494181,364120,258503,-1,87107,-1,542360,-1,574786,-1,-1,-1,581141,479621,589725,-1,-1,-1,-1,-1,-1,-1,157035,-1,472854,88195,596893,109144,99827,-1,550771,778165,913251,-1,244932,-1,632249,909616,-1,160661,-1,443174,412350,489134,926430,-1,-1,174712,571234,-1,-1,426540,-1,494435,283828,-1,362977,-1,269847,580034,917580,-1,-1,-1,296802,-1,75443,-1,-1,-1,-1,-1,826837,454209,697120,-1,160303,328431,-1,42400,-1,295853,15297,-1,-1,371000,-1,965228,634734,-1,-1,-1,541603,92294,905496,285511,627207,-1,413355,542244,690819,558482,699181,304439,-1,453396,-1,-1,383970,782033,193326,-1,-1,892834,-1,250621,-1,-1,223386,455388,447521,-1,-1,-1,-1,-1,-1,42318,572277,-1,723009,380340,-1,206331,471435,-1,-1,237207,970045,243688,-1,-1,261436,-1,-1,-1,-1,-1,779496,111946,443019,209458,455343,713430,742745,157304,890152,496177,730069,330601,-1,-1,921377,919417,963606,-1,546171,-1,987240,193770,-1,-1,552334,561888,-1,-1,242630,-1,-1,-1,-1,197659,393606,908245,-1,646794,474699,357594,413359,517063,735265,458747,52543,-1,354533,-1,-1,-1,594687,868093,389232,-1,895094,808807,-1,248480,-1,665289,-1,-1,968086,701613,382159,250006,412433,-1,259273,-1,57078,770338,135359,-1,-1,707576,53744,115624,-1,-1,-1,-1,948982,492877,490713,724278,695745,938096,-1,90960,628928,535921,141052,-1,245069,965858,961626,501956,-1,301185,-1,-1,423680,240661,409835,434911,-1,-1,-1,108881,-1,840532,848478,-1,744710,570785,296929,897386,217342,-1,-1,-1,627634,676405,-1,-1,488736,777947,-1,791482,91463,-1,725738,-1,855934,239835,915708,-1,741103,251202,981185,-1,-1,646638,276497,-1,-1,-1,169811,942295,392391,404863,-1,136887,309697,-1,-1,452327,-1,-1,-1,787710,-1,105938,48408,-1,-1,-1,325179,-1,-1,-1,-1,508276,107153,138123,-1,-1,577974,-1,-1,257045,47044,-1,415107,-1,-1,-1,153513,-1,136105,-1,751109,-1,-1,-1,-1,-1,-1,-1,-1,92148,-1,-1,-1,-1,710769,-1,791709,-1,-1,657744,896986,162945,-1,956960,156012,-1,-1,279715,16078,-1,864588,509504,158825,-1,309119,223846,910993,398579,913438,-1,925274,-1,-1,559061,-1,-1,326378,583696,-1,-1,587138,-1,692680,-1,787036,-1,309242,406449,-1,-1,368325,-1,-1,-1,-1,891947,179000,-1,-1,-1,301310,-1,15433,179149,699903,962354,-1,-1,-1,-1,88048,33911,385721,-1,669093,-1,975469,273223,-1,375927,-1,-1,-1,660391,457959,-1,-1,563862,136263,-1,-1,931652,-1,817076,-1,453679,756,432962,-1,456103,-1,909278,111188,518465,-1,90758,-1,505695,112146,767234,10236,-1,394044,462120,864449,-1,161067,-1,-1,-1,-1,581925,-1,719170,-1,912687,-1,510905,459170,-1,627278,-1,952746,685322,-1,-1,-1,-1,604753,144487,-1,126563,-1,-1,18240,-1,711314,877341,-1,402932,-1,-1,-1,-1,632824,660395,-1,-1,-1,357538,-1,656973,-1,-1,175977,-1,758914,516011,28915,-1,-1,965722,701626,221344,103811,-1,-1,-1,-1,-1,-1,-1,-1,-1,927090,-1,-1,413193,-1,245412,-1,288621,443179,-1,-1,545267,-1,853434,-1,-1,350740,805238,-1,-1,744059,742444,483848,765291,267860,-1,934543,48707,-1,953921,458594,384885,318565,842032,-1,-1,299083,-1,132227,438562,-1,559222,242169,-1,-1,-1,-1,179347,330517,-1,602282,-1,527389,684306,-1,55613,-1,-1,-1,279052,-1,-1,500099,-1,-1,602960,151962,-1,-1,-1,805546,550224,989528,667840,954477,378233,983407,419979,305128,-1,-1,738279,107963,306122,304932,901079,121110,-1,182234,449665,-1,436632,-1,-1,-1,149427,491681,776999,-1,388032,155514,366980,732827,971151,419863,-1,-1,107379,73241,930501,-1,193563,-1,27182,-1,400104,-1,124978,-1,-1,-1,-1,-1,162595,-1,-1,-1,-1,-1,-1,513087,938313,-1,539612,-1,-1,948404,798361,946035,-1,930240,-1,654770,-1,234695,458676,-1,-1,-1,-1,329112,-1,220083,195580,616597,-1,473993,-1,-1,-1,411024,434711,-1,-1,-1,346478,416912,658491,-1,724363,-1,899250,676613,-1,599304,19506,170360,-1,-1,-1,170285,225544,-1,-1,-1,275242,784886,-1,-1,569244,460821,-1,133950,-1,-1,-1,890847,-1,-1,-1,33305,735637,148116,350109,-1,-1,-1,-1,878967,159990,-1,-1,-1,-1,507879,-1,-1,-1,-1,869909,-1,950087,-1,326146,-1,32657,412050,-1,920224,596195,383934,-1,-1,-1,759122,78773,-1,358732,717939,-1,-1,-1,-1,71794,657577,-1,257083,195285,616545,-1,413645,319160,135992,-1,336464,112248,984524,13772,329867,-1,-1,-1,658632,-1,911359,395014,-1,522054,764033,614268,325650,-1,206506,28374,-1,-1,550467,-1,521095,100351,552442,519642,-1,271053,-1,338799,-1,-1,579221,-1,448237,-1,-1,-1,918289,-1,-1,983404,381361,-1,-1,-1,-1,980635,-1,-1,-1,-1,-1,-1,-1,-1,-1,560942,-1,-1,-1,-1,21703,730232,-1,807264,666796,846824,484487,945308,224130,107749,757031,209589,721416,28485,-1,-1,609754,-1,-1,-1,-1,-1,-1,592010,-1,-1,253825,-1,84964,-1,-1,-1,-1,599002,-1,-1,335840,443859,832506,-1,-1,880019,446399,-1,444996,531024,662896,29587,-1,134257,-1,40920,-1,-1,136261,451973,697250,-1,316535,-1,-1,-1,-1,294791,-1,-1,317790,922752,-1,-1,352892,232398,-1,917225,229937,144955,-1,-1,-1,138521,76375,162561,-1,701946,-1,-1,316063,-1,312021,366961,-1,-1,-1,-1,-1,20558,-1,982415,709140,965020,720497,982361,231349,550078,329900,622529,-1,784571,-1,-1,933651,-1,869599,931147,859394,408236,-1,377424,936527,-1,-1,-1,401832,-1,911794,842901,-1,-1,-1,-1,-1,719187,-1,985813,-1,-1,218627,450724,-1,259237,671045,319523,506712,643060,872714,752325,-1,-1,616863,474922,-1,-1,531936,-1,-1,78460,233816,-1,587047,725078,35339,880345,861787,-1,-1,693561,-1,-1,887630,699620,-1,584844,183337,-1,-1,914415,-1,835429,-1,642060,-1,650640,-1,-1,-1,-1,-1,-1,-1,835756,-1,-1,-1,-1,278545,-1,-1,-1,-1,-1,-1,165675,-1,-1,-1,536716,834519,-1,-1,337581,-1,630641,844626,548754,396221,-1,902124,60294,660533,622721,-1,-1,48058,-1,-1,-1,-1,238941,110888,51277,-1,-1,651917,-1,-1,-1,-1,94174,-1,857436,-1,139216,-1,-1,-1,603976,-1,834391,-1,655563,145790,80194,298078,-1,-1,-1,-1,-1,617343,-1,-1,160399,973056,-1,-1,-1,77276,-1,-1,198536,-1,743855,436976,-1,371035,-1,-1,669356,-1,62990,178849,485388,-1,-1,146765,369698,-1,804091,-1,-1,-1,594487,-1,135307,694630,804128,-1,-1,46665,-1,-1,-1,-1,227595,695484,129176,-1,-1,-1,-1,-1,117343,542581,437675,-1,819342,-1,-1,436136,234130,101772,707569,-1,967644,95977,174435,-1,-1,312699,289153,393176,231885,-1,-1,-1,-1,309420,-1,-1,-1,760768,635782,622467,326204,-1,961722,432963,-1,999304,564655,418046,485431,-1,281559,-1,817586,-1,-1,362217,219861,-1,415948,-1,677257,908983,-1,794079,402962,460375,178442,-1,399319,-1,98126,-1,696964,-1,670313,387996,962700,-1,511923,-1,925864,810208,56677,474104,-1,808026,-1,756967,211653,-1,-1,222408,-1,-1,-1,786523,617723,4818,611851,-1,-1,-1,-1,-1,78992,683915,882021,537302,212462,409895,278172,-1,-1,-1,917683,-1,-1,-1,921979,-1,-1,359388,-1,-1,-1,-1,-1,-1,97913,-1,-1,-1,987255,-1,-1,-1,252470,-1,-1,284328,-1,-1,-1,391887,4199,677127,807812,375674,-1,431936,408207,-1,-1,171065,897000,-1,-1,430357,255338,801444,584941,-1,466408,-1,651947,-1,656767,-1,-1,-1,745560,400806,500706,91303,592995,-1,-1,-1,-1,410551,-1,-1,401291,-1,-1,501632,-1,181171,737178,-1,-1,254447,266909,-1,633879,961921,-1,-1,73088,141987,229129,22896,624717,-1,-1,211638,631204,482906,764704,128954,-1,382280,-1,-1,209954,-1,932141,334387,-1,-1,-1,-1,698700,-1,902996,-1,919237,-1,868800,-1,817522,958196,673813,-1,889719,-1,410739,-1,995627,353419,-1,301481,-1,782371,581035,26521,311389,-1,32578,244962,-1,-1,451374,468029,689839,-1,355869,981508,-1,538512,-1,572194,-1,254987,-1,641732,672421,-1,-1,-1,604879,-1,-1,-1,-1,685189,-1,545229,282679,134274,-1,-1,-1,-1,-1,486974,-1,555472,911357,-1,-1,-1,-1,665683,-1,753596,-1,846164,-1,-1,26774,-1,-1,-1,-1,890044,463127,-1,-1,-1,-1,204800,-1,202198,-1,-1,949396,-1,-1,549330,875372,220834,-1,-1,781481,145149,974957,941824,-1,243695,-1,-1,-1,-1,736435,669971,-1,-1,881112,714012,496056,675970,238950,-1,-1,500152,-1,374455,381633,111404,749394,-1,10619,-1,348395,-1,222038,-1,-1,864065,611878,255525,934584,619824,-1,-1,97972,959579,-1,-1,647492,717661,-1,204966,-1,794137,-1,193330,601353,306086,-1,-1,-1,-1,-1,-1,-1,-1,872094,217550,-1,-1,127590,-1,521878,-1,-1,-1,-1,3189,-1,-1,357978,750686,-1,-1,85139,807097,-1,-1,688132,-1,-1,-1,-1,-1,230743,-1,-1,643077,497288,-1,-1,-1,-1,-1,-1,-1,423970,-1,-1,-1,-1,-1,106945,-1,-1,-1,853321,-1,-1,-1,784811,882361,75689,-1,728005,-1,943423,499753,793919,453221,-1,-1,-1,246716,612200,-1,802151,316532,517274,888370,-1,519424,-1,-1,826829,-1,-1,-1,539285,419874,839915,-1,-1,51745,-1,452598,-1,-1,652947,799113,150348,160086,416738,-1,-1,-1,-1,239247,962465,306508,-1,-1,-1,-1,487579,74605,822433,852534,-1,-1,4456,-1,78185,-1,-1,-1,989465,687356,-1,227922,-1,-1,780175,129686,562154,222459,729033,73491,-1,203982,-1,-1,-1,43691,542291,-1,66586,459154,-1,77659,-1,367688,-1,347825,-1,-1,-1,385485,-1,-1,841704,137284,-1,934697,154696,-1,-1,-1,525954,-1,958927,656692,264591,578288,-1,607868,906053,783542,-1,650580,262,-1,-1,936780,-1,728459,-1,-1,969976,-1,-1,557230,-1,-1,-1,-1,-1,159500,-1,317505,84037,-1,-1,460522,-1,-1,-1,-1,159964,-1,-1,704921,-1,863627,83337,327471,708827,-1,659172,398394,487064,882811,185097,670479,844020,981655,-1,870911,254605,-1,-1,-1,-1,-1,-1,659157,-1,-1,-1,160730,-1,-1,-1,625285,214571,-1,369004,894817,-1,538891,-1,-1,-1,215469,-1,-1,-1,-1,-1,759266,914218,644020,-1,-1,-1,742503,175777,-1,448145,-1,885606,684604,-1,-1,-1,-1,738296,801499,-1,872740,-1,-1,950149,-1,701284,109880,202248,392471,-1,53091,-1,-1,579860,-1,-1,-1,-1,991096,-1,-1,614569,-1,-1,535906,-1,-1,645500,40481,-1,-1,535809,-1,568565,650654,584270,-1,-1,-1,597171,3239,769248,-1,-1,-1,-1,5325,-1,-1,720258,-1,-1,143130,416559,970908,891104,-1,155907,-1,803,-1,-1,254399,-1,-1,22158,692449,57407,255444,342955,-1,-1,-1,79937,-1,276259,-1,-1,514354,-1,-1,-1,-1,136231,305021,-1,-1,668810,385176,840396,-1,372285,-1,-1,720780,598179,109308,-1,522782,834949,484202,-1,478236,864826,-1,-1,-1,-1,196920,92532,-1,-1,-1,433333,288084,955190,42514,806509,102354,32586,-1,-1,61809,57396,-1,795495,842649,-1,745762,-1,-1,-1,-1,-1,-1,-1,827447,-1,-1,-1,-1,765617,-1,-1,-1,951691,842228,112459,-1,254968,-1,-1,752963,-1,-1,-1,126147,-1,-1,-1,-1,420792,78713,-1,-1,-1,112141,155999,862471,-1,-1,696320,-1,298083,-1,21964,-1,326477,746477,-1,456266,493284,-1,-1,-1,70037,619520,691395,-1,-1,797981,370361,-1,-1,-1,-1,472657,-1,480499,-1,812491,335501,507255,-1,-1,-1,777569,-1,840236,-1,366498,461013,884276,641696,961575,-1,721076,753936,488259,64645,-1,40566,194644,-1,-1,806082,-1,105939,-1,226685,870406,484754,161720,614968,582670,-1,307671,-1,-1,-1,-1,866839,-1,765431,-1,517922,255112,716096,-1,933459,-1,-1,521785,900006,55862,-1,-1,384976,-1,386787,-1,358599,-1,-1,-1,-1,751482,883228,-1,136962,-1,799259,-1,996079,468828,783557,-1,363094,757860,408206,-1,737720,596700,-1,934361,7832,-1,605338,-1,-1,754826,-1,805144,-1,-1,-1,480171,-1,472385,130094,-1,-1,653835,-1,-1,671301,585138,-1,751644,3868,-1,75899,-1,487964,-1,-1,-1,-1,-1,-1,449247,-1,-1,793954,-1,984528,-1,851283,917598,-1,-1,772910,781752,-1,-1,-1,-1,-1,-1,-1,-1,522533,-1,220056,276096,4397,-1,670661,232993,801001,300927,660766,90699,204353,-1,-1,-1,562666,-1,606962,327903,924045,843843,451918,617155,885466,-1,-1,-1,19751,-1,-1,-1,19024,320787,859128,-1,542447,982330,12449,-1,717830,281375,906844,821851,61105,-1,-1,729561,-1,347493,962561,93152,-1,-1,741514,-1,-1,763007,835320,348344,-1,257952,-1,-1,-1,81275,-1,191132,390259,637459,-1,-1,391563,465319,-1,2282,-1,-1,354110,908005,217767,466528,-1,-1,104182,-1,849175,-1,-1,395779,-1,-1,279352,7661,-1,340391,711701,261306,-1,802964,-1,-1,37572,-1,440225,895302,-1,572873,-1,-1,856454,185063,482914,337291,97288,129983,-1,836579,520274,-1,-1,-1,-1,-1,-1,-1,410170,-1,-1,33626,-1,-1,-1,-1,-1,803153,558023,679608,-1,-1,169623,985062,802401,-1,-1,-1,445807,971612,643532,-1,-1,-1,850537,739373,655742,-1,309930,-1,-1,-1,-1,461050,-1,958904,-1,625839,418331,-1,-1,-1,-1,-1,-1,-1,628753,184789,-1,370550,434789,-1,206289,893937,955458,258516,372986,938161,-1,637862,-1,383708,211519,760634,-1,-1,840262,-1,-1,-1,837556,284134,-1,171286,-1,977439,285622,-1,195120,-1,603252,-1,156360,923398,-1,-1,767569,193632,-1,-1,581838,67683,-1,684825,-1,65603,-1,-1,-1,-1,307346,-1,-1,197767,-1,-1,764416,-1,-1,400807,129020,473956,-1,602792,-1,-1,-1,162277,776231,-1,710887,-1,-1,896998,-1,-1,-1,716742,-1,-1,87254,512462,688287,-1,-1,996097,-1,-1,584843,771198,-1,-1,-1,158423,-1,-1,-1,-1,739663,-1,-1,-1,270423,-1,-1,-1,-1,919915,391790,322353,539222,-1,-1,344269,-1,366001,-1,-1,-1,-1,358701,-1,236143,34433,48569,16573,-1,943212,-1,-1,-1,837345,-1,269627,144252,-1,-1,118423,255388,8923,598603,-1,649301,-1,-1,933155,-1,103994,-1,464890,-1,-1,-1,-1,-1,-1,-1,-1,-1,313868,-1,231227,312149,974608,-1,-1,12835,75183,976286,880702,210673,774891,920281,-1,-1,601750,393488,753457,720723,-1,257489,-1,709624,-1,500492,-1,-1,-1,-1,631059,39905,-1,488912,-1,373,-1,-1,-1,421611,946168,66014,-1,345944,-1,61339,-1,986829,-1,-1,-1,-1,984091,-1,-1,219340,523263,286583,-1,203176,325551,450968,432583,-1,995632,313850,-1,807808,302334,33303,-1,11028,-1,-1,-1,-1,-1,-1,439776,-1,-1,-1,676442,459117,947298,-1,16835,-1,811717,-1,-1,676721,-1,-1,-1,450564,597278,262509,833982,201037,-1,-1,-1,399359,932823,680635,737914,-1,209410,-1,-1,-1,-1,-1,451942,543043,43485,-1,-1,45704,-1,-1,-1,752150,495463,884341,717223,391895,906637,-1,741727,-1,-1,349777,-1,-1,626359,-1,-1,-1,887275,489739,785626,-1,-1,-1,154094,768777,105843,933246,548869,-1,719496,-1,-1,-1,661726,657064,668939,347853,651067,-1,702351,664544,334929,-1,779793,257591,-1,374943,775267,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,210160,440206,871885,251249,995625,622844,-1,647754,-1,-1,-1,5483,-1,647305,885243,-1,327155,-1,-1,789709,-1,539577,120149,-1,494857,-1,104713,-1,-1,785079,913552,-1,-1,-1,262664,1021,-1,-1,-1,-1,-1,-1,-1,457662,-1,391926,-1,132987,-1,813516,348379,-1,-1,-1,-1,-1,809917,85308,854917,-1,737675,-1,173369,970622,950419,942782,-1,-1,-1,450954,279097,-1,-1,718305,159483,-1,342405,-1,471139,-1,-1,-1,-1,418382,690185,963425,698770,-1,47068,-1,-1,-1,258862,282402,81732,94806,-1,-1,-1,121301,-1,142615,-1,248640,-1,823852,-1,-1,392240,57412,697697,-1,596183,496169,265334,809250,398066,-1,-1,-1,997976,-1,-1,-1,895769,536883,470879,663475,-1,-1,985935,-1,-1,560632,448007,428521,-1,-1,-1,-1,-1,-1,674396,-1,261100,-1,259677,-1,-1,432483,-1,973441,-1,427116,-1,172742,812461,-1,621961,-1,-1,-1,798845,580618,-1,-1,-1,-1,843305,-1,814740,-1,507668,-1,-1,-1,-1,396970,-1,711703,-1,-1,40039,-1,917712,-1,975489,598818,-1,-1,842382,997291,-1,530906,-1,-1,-1,301414,694663,-1,-1,2819,-1,647378,-1,402710,-1,65327,733256,269943,-1,-1,773492,-1,410432,-1,-1,881860,560321,-1,273211,482919,836648,401994,762485,-1,-1,920366,-1,192996,-1,955392,850615,472820,787678,559874,-1,235681,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,905760,-1,-1,361717,-1,-1,-1,995949,-1,315951,-1,-1,971392,-1,935512,-1,724297,971486,804195,271270,-1,-1,-1,478498,-1,391870,-1,-1,-1,642031,513013,-1,-1,-1,-1,123173,170558,253256,235204,-1,239943,-1,-1,-1,-1,-1,55787,-1,970635,-1,831592,661078,-1,-1,780303,-1,-1,444929,-1,152660,-1,-1,-1,356625,-1,595411,751282,-1,340082,-1,888066,-1,-1,-1,-1,992193,309630,265657,762000,580159,-1,491031,-1,-1,-1,575279,200753,-1,713423,-1,-1,-1,-1,-1,468382,-1,839944,-1,-1,-1,951074,-1,301354,568693,781706,-1,860766,872424,-1,527526,-1,-1,570733,623940,371712,539070,412071,980199,-1,520973,-1,681174,-1,-1,-1,830625,-1,-1,-1,496797,-1,-1,716480,-1,-1,-1,-1,90333,990644,911617,891163,842989,-1,179644,404487,-1,-1,53660,794136,696636,-1,472953,-1,-1,-1,27215,729142,-1,350274,-1,801426,-1,424066,-1,-1,795207,230945,-1,-1,-1,946005,-1,848023,442798,-1,992833,507449,-1,435146,-1,-1,-1,-1,888613,-1,557748,445044,-1,244810,-1,-1,770271,-1,-1,-1,858578,246440,-1,772621,-1,-1,281272,75989,614534,-1,-1,-1,-1,912242,845320,-1,-1,-1,32420,840207,619820,868360,-1,895777,-1,754253,331558,-1,-1,-1,253619,249519,-1,111101,978332,63673,-1,576122,911575,-1,942321,-1,464473,302927,-1,507054,-1,604842,-1,848248,317557,-1,-1,-1,-1,-1,375198,297783,-1,-1,-1,-1,-1,-1,-1,872325,-1,-1,96400,122526,32756,-1,-1,-1,454028,58299,-1,-1,-1,92337,-1,-1,-1,-1,776393,520140,964379,535662,-1,-1,-1,607372,-1,497670,551138,595530,955974,287870,504140,-1,-1,-1,170813,-1,-1,-1,992213,998806,656403,319195,550589,560752,-1,-1,42261,934383,413118,886845,-1,76197,200457,22736,-1,-1,105166,491750,-1,-1,494739,28498,-1,382007,-1,187317,113315,-1,794931,-1,65326,-1,-1,-1,-1,210351,-1,-1,419992,641298,769838,473890,503841,-1,359326,958853,-1,-1,-1,-1,-1,423102,846461,700555,894208,17815,590216,-1,-1,86813,151684,811420,387303,-1,-1,503790,-1,-1,696843,-1,311582,-1,-1,-1,-1,363920,-1,430862,95988,-1,-1,-1,890310,-1,-1,-1,416241,-1,282869,788210,-1,-1,461815,-1,-1,-1,985363,-1,863506,-1,772286,824701,-1,668021,16155,664049,-1,-1,-1,158179,391739,791736,767457,548653,771793,880794,-1,-1,-1,-1,393307,-1,-1,897246,-1,-1,602992,16882,653517,144800,885669,417320,-1,-1,-1,-1,829362,-1,-1,-1,284175,-1,507765,-1,-1,-1,266593,-1,24180,-1,-1,331240,776763,-1,816296,-1,-1,-1,-1,-1,-1,-1,-1,-1,417623,354753,-1,648988,437895,818049,642754,878327,340794,912985,-1,485970,-1,-1,727898,595064,544273,-1,696918,-1,339485,842213,-1,575919,-1,-1,-1,875181,-1,-1,-1,-1,-1,-1,680551,351035,-1,518481,-1,193138,352516,862584,-1,492295,-1,-1,527790,-1,-1,-1,714989,-1,-1,-1,-1,-1,-1,703851,488907,-1,31131,784936,-1,982285,-1,-1,520828,-1,296292,-1,826778,-1,-1,-1,-1,-1,507427,-1,-1,838496,-1,970746,-1,-1,87417,294039,619977,-1,821837,-1,-1,866749,-1,33736,997215,-1,-1,658483,-1,836878,-1,266784,978916,-1,537553,319931,-1,901086,-1,-1,658928,-1,848684,-1,815771,-1,-1,93598,88422,-1,-1,779440,-1,853091,292625,-1,-1,-1,424907,-1,549114,-1,252711,756535,-1,-1,-1,-1,-1,-1,64000,-1,521744,-1,-1,173019,-1,737777,-1,401996,-1,76099,45232,10658,-1,646999,-1,995171,16318,-1,995843,205433,375508,519861,804083,-1,149095,659430,-1,389204,-1,-1,548846,452917,-1,211843,358721,-1,809799,737166,-1,-1,-1,-1,-1,354267,-1,-1,-1,-1,-1,675230,22965,-1,-1,-1,-1,827037,-1,634062,247908,705426,-1,-1,77224,946482,-1,820144,67501,510435,674352,592280,-1,-1,312318,337779,-1,-1,-1,-1,-1,-1,-1,-1,-1,36935,-1,126390,-1,678127,905562,-1,586999,-1,449618,277721,-1,-1,950191,643914,706144,294864,-1,373194,-1,880362,-1,-1,948649,171077,-1,-1,657641,352460,-1,858894,-1,-1,418962,280257,-1,50121,383095,-1,515857,446482,-1,-1,-1,-1,301679,242550,997099,297802,-1,942023,944528,-1,-1,24393,-1,-1,-1,481098,823734,201820,892643,-1,-1,326458,660621,-1,-1,603753,866943,-1,-1,-1,-1,527377,-1,-1,386537,943541,-1,-1,-1,22244,-1,572269,-1,132679,311252,-1,766930,526768,-1,-1,-1,307290,-1,448158,621205,64934,-1,-1,-1,126686,-1,771488,114699,145899,118907,156865,-1,799391,-1,-1,-1,56187,129503,733237,-1,45735,-1,-1,585133,-1,-1,-1,412113,-1,-1,-1,-1,759760,788564,299282,380974,-1,496406,40271,-1,-1,-1,41228,-1,-1,61114,-1,983041,725756,685756,177727,42411,-1,431286,13239,58565,254178,540802,-1,-1,648351,-1,-1,582655,-1,-1,-1,-1,-1,441451,-1,-1,-1,951906,827521,77080,621421,-1,651670,-1,-1,932875,-1,-1,-1,536928,413040,599157,-1,715608,-1,856070,-1,-1,53963,987681,362120,897919,131547,855812,-1,-1,-1,308910,125596,8763,-1,256517,980540,735422,300096,-1,-1,240115,761469,599283,-1,-1,875239,-1,-1,4319,-1,827397,187942,-1,827733,-1,-1,417985,59463,-1,-1,-1,967791,-1,-1,268949,-1,-1,-1,991194,-1,-1,-1,-1,899975,-1,-1,-1,421329,738906,-1,277272,68622,-1,863482,-1,-1,813080,-1,-1,273633,251496,723249,787538,575771,-1,-1,941694,178313,484534,-1,941493,867778,436429,-1,112061,611480,106010,449238,338838,-1,468939,803755,-1,-1,-1,-1,-1,54427,-1,-1,501628,-1,732494,883311,-1,-1,18399,250931,-1,-1,-1,-1,-1,-1,118956,300551,-1,747364,394513,930373,-1,702487,-1,-1,397354,96829,-1,-1,-1,8017,737340,23997,76245,460612,134817,767672,270761,48641,-1,712035,289550,-1,463902,504541,-1,-1,-1,-1,218544,-1,400845,683592,-1,-1,-1,209507,709432,-1,-1,647074,854530,786976,-1,-1,-1,421430,-1,-1,384802,-1,584616,-1,-1,715753,-1,560030,966844,530374,-1,-1,-1,-1,56290,-1,942419,391325,48246,782797,654567,-1,739954,596590,274931,430494,-1,114928,-1,755245,-1,751927,244851,-1,631450,-1,-1,-1,934359,542307,-1,44097,646300,-1,-1,649030,-1,105860,-1,743359,-1,-1,-1,42644,137913,-1,317214,533962,-1,931296,-1,443469,107297,613691,-1,-1,-1,722747,762214,-1,335001,965122,-1,693544,-1,767770,-1,506423,500770,-1,913871,-1,543774,428137,-1,947144,219618,63607,977273,748865,279578,-1,-1,813045,171587,-1,282284,-1,579235,590879,659647,76885,60325,-1,747355,328916,664703,619664,569433,117157,-1,-1,558462,569291,-1,983526,892909,658702,-1,-1,-1,354228,69277,-1,949696,42410,933786,554179,-1,626460,-1,511847,-1,558830,-1,-1,37191,131574,767963,-1,539209,-1,222261,763076,-1,263634,-1,911358,523071,439654,-1,69436,-1,644880,174035,776046,-1,118215,305119,365376,546443,463172,-1,724355,197386,80420,342327,-1,354606,46401,732838,827728,221381,-1,-1,788070,570033,-1,352444,-1,-1,967512,-1,-1,946150,-1,658763,332082,-1,-1,-1,519625,-1,-1,-1,-1,706716,-1,526698,143172,-1,547325,-1,922396,-1,275163,269565,-1,735854,-1,80736,570117,603338,826003,-1,-1,-1,751840,-1,-1,939298,152941,-1,698402,-1,670831,-1,-1,-1,-1,-1,-1,230875,526731,842894,202488,-1,634354,776405,-1,-1,149640,847011,-1,461805,-1,-1,-1,481157,-1,749649,-1,-1,260648,-1,118096,-1,703988,660518,-1,-1,5439,-1,478521,-1,-1,-1,353966,14854,443135,-1,-1,-1,239471,-1,-1,303066,-1,-1,-1,-1,443973,-1,-1,-1,637100,186798,78748,877153,264242,184824,-1,-1,-1,-1,375926,-1,816741,-1,385984,522486,-1,-1,98161,-1,813370,408326,639535,541267,-1,-1,-1,33985,-1,-1,-1,-1,242865,949634,226001,597092,270744,397716,-1,505839,-1,-1,-1,789627,411987,532720,941160,-1,25873,-1,-1,-1,-1,-1,258791,-1,956194,-1,825241,217278,2840,609354,-1,624073,-1,-1,-1,-1,340973,-1,-1,-1,-1,-1,510850,-1,510870,303899,-1,489333,223542,529567,617780,914655,-1,-1,320148,959306,154109,64277,175523,236790,-1,-1,-1,722764,-1,973969,171057,822548,-1,-1,377982,312712,59980,-1,923098,-1,-1,-1,-1,876735,173626,-1,805884,182578,412916,-1,-1,202698,-1,-1,328630,660557,-1,-1,-1,460693,246377,678588,863630,-1,738966,42209,139179,-1,220774,-1,-1,111953,-1,383615,-1,-1,482346,-1,980918,123946,-1,842157,611305,80012,917432,-1,986886,957695,352863,-1,794442,339212,991338,-1,809040,-1,-1,694296,-1,12550,-1,-1,825335,775614,-1,-1,-1,236178,974967,263033,329729,-1,234254,21205,979938,388609,-1,-1,-1,100256,115144,-1,204131,-1,59931,851685,-1,824806,38697,352331,86503,196602,258870,-1,840071,190294,252634,133485,-1,-1,-1,9984,-1,894261,-1,-1,770158,-1,264010,-1,-1,-1,800285,521570,815635,51362,-1,574623,-1,-1,-1,-1,-1,460546,-1,-1,-1,93024,865708,-1,-1,221237,-1,-1,-1,145107,-1,-1,134098,-1,10980,-1,-1,-1,681716,-1,-1,-1,-1,956620,-1,-1,742364,498705,-1,174795,-1,510457,896582,300113,801307,958057,437301,168822,998995,626727,-1,-1,-1,-1,932051,-1,46685,-1,-1,-1,-1,134353,-1,507375,-1,-1,-1,235873,-1,-1,-1,591012,760655,-1,207343,282526,874100,-1,769127,-1,239278,934693,-1,511841,110800,237908,326220,-1,-1,-1,-1,-1,-1,187540,-1,692429,761768,-1,-1,-1,-1,-1,-1,704352,-1,451675,561225,-1,-1,-1,-1,-1,-1,-1,871454,170832,252458,-1,759153,821568,574457,869643,649959,793121,-1,-1,691153,-1,-1,936263,698502,176832,966011,-1,642530,-1,895835,700759,356872,767324,922397,889340,-1,-1,-1,-1,-1,-1,510992,337989,-1,645752,545107,981376,-1,-1,991034,80731,161673,-1,-1,485031,879768,464712,122826,334565,317493,-1,-1,-1,622254,-1,731163,-1,-1,-1,183019,-1,-1,723168,-1,-1,-1,-1,-1,363119,-1,200845,467884,656336,-1,482828,948030,740918,204540,653151,228746,774544,83849,766805,-1,614380,-1,-1,-1,-1,267100,189744,-1,311631,-1,537360,-1,694813,-1,445818,-1,790685,739077,-1,-1,293327,388441,233121,197407,256823,162002,-1,-1,107720,526832,-1,182671,-1,24252,-1,-1,-1,-1,400241,-1,-1,-1,-1,-1,993095,982894,933453,-1,-1,-1,322890,-1,-1,810224,263194,75493,649395,523682,752234,-1,-1,654925,-1,-1,-1,-1,-1,904473,-1,-1,-1,-1,-1,924466,843403,898789,-1,-1,245124,-1,-1,-1,805526,695622,-1,-1,405771,-1,-1,44066,510335,265306,901945,104351,837604,-1,90897,219155,-1,417341,-1,156667,930872,-1,-1,613109,-1,-1,-1,-1,-1,-1,446256,598877,330120,-1,72373,244933,964130,-1,629467,337245,-1,-1,943071,759477,-1,-1,865592,-1,-1,82233,139796,-1,-1,-1,166759,317480,-1,-1,-1,91118,-1,-1,-1,-1,-1,-1,100211,-1,-1,101807,-1,637174,-1,941651,-1,-1,371674,-1,116302,-1,-1,-1,643081,432862,-1,749596,279756,-1,936292,-1,-1,530477,-1,230557,-1,-1,-1,-1,-1,626534,-1,-1,-1,-1,648417,-1,23526,-1,-1,-1,-1,940722,-1,-1,946103,879170,632111,-1,-1,-1,765153,-1,-1,-1,-1,453578,-1,940897,-1,-1,-1,-1,319324,572242,318427,-1,152830,-1,917427,-1,71338,572857,-1,26560,598009,632067,-1,-1,914724,-1,324766,-1,-1,-1,309509,888308,-1,215746,948311,-1,-1,-1,-1,911681,503974,-1,669074,106415,-1,-1,-1,943029,609012,842794,305348,750546,-1,685890,326904,-1,400202,361911,-1,318518,-1,-1,-1,-1,-1,-1,226957,-1,-1,825601,485891,-1,541713,-1,-1,-1,816412,-1,214111,-1,-1,-1,571543,801728,223171,568503,-1,-1,-1,985886,196979,-1,569700,318117,328821,-1,-1,48614,-1,-1,471637,867789,620887,81278,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,164934,325618,-1,-1,-1,670510,169961,707834,-1,-1,587096,-1,-1,437669,-1,237112,-1,-1,-1,968478,1575,623991,666269,415905,278686,305648,330750,573769,-1,-1,400840,870589,-1,-1,-1,-1,-1,662485,-1,-1,-1,90446,465154,-1,355564,-1,-1,-1,435784,-1,264079,793342,216343,-1,-1,-1,6470,864732,-1,197129,-1,-1,-1,563010,-1,596840,-1,-1,562925,622658,-1,-1,630185,885436,452619,-1,-1,17942,-1,67150,418891,382262,815172,606408,230745,781147,-1,610456,482510,419445,-1,-1,545492,-1,739484,677670,335309,279584,237465,-1,128322,381355,-1,-1,713186,325456,286545,-1,-1,-1,493301,690592,647756,331060,-1,-1,-1,-1,357202,262102,301344,-1,-1,107934,54087,782711,-1,195909,-1,771938,-1,30603,-1,-1,633191,-1,-1,627738,324126,-1,401845,664122,-1,45065,-1,528053,-1,694235,185474,-1,963144,314017,-1,759152,171772,-1,-1,272896,-1,-1,507597,711682,567732,-1,123877,-1,-1,-1,-1,538731,-1,817041,762951,935835,25211,169182,-1,-1,-1,-1,-1,756270,-1,1170,-1,-1,658751,-1,-1,835201,443312,-1,-1,962553,-1,744007,590384,-1,619307,-1,-1,784762,57088,604790,-1,-1,111955,-1,681951,381662,-1,-1,-1,704543,170112,163054,97816,-1,979351,163720,-1,307599,-1,-1,-1,-1,197904,154307,135472,635795,877008,204769,888610,976066,-1,755397,864651,858968,-1,174640,93886,-1,-1,-1,-1,5080,-1,644582,804963,-1,-1,390837,-1,190344,473330,-1,196946,-1,943607,-1,754588,-1,-1,-1,-1,-1,-1,843358,215484,-1,-1,624322,-1,551163,-1,532417,800032,662236,-1,698251,-1,41677,-1,-1,213852,-1,945619,978984,949105,658125,352109,-1,-1,287030,243610,-1,-1,-1,-1,-1,-1,661721,343764,916937,-1,239187,534774,-1,118227,291134,-1,427163,879982,-1,-1,-1,642373,804340,-1,-1,-1,324876,446531,62796,-1,683056,-1,-1,526545,923298,-1,396223,249026,-1,-1,-1,-1,681469,-1,-1,379918,708373,888002,823384,-1,-1,-1,-1,390500,-1,-1,-1,761143,593037,-1,672100,-1,-1,757999,304407,340191,547184,911471,479230,-1,803023,285426,-1,287855,162041,630449,-1,-1,-1,-1,34428,108577,442368,783628,282755,-1,-1,759116,-1,-1,68866,426292,944282,15997,780858,889154,372423,-1,165852,228361,510370,829019,-1,-1,-1,-1,-1,-1,-1,-1,73670,-1,-1,462170,-1,-1,-1,893322,142181,-1,-1,-1,662187,385884,692060,127407,-1,266342,199528,-1,106282,-1,-1,-1,-1,-1,-1,-1,96852,890447,-1,-1,-1,434462,24419,499706,474647,996293,-1,-1,-1,9999,-1,-1,-1,-1,-1,478353,-1,217132,-1,-1,687350,-1,362031,320199,-1,411053,-1,346805,151865,-1,-1,698633,167906,729581,-1,507235,528863,402209,-1,-1,-1,878382,-1,-1,-1,54990,-1,110344,459939,478428,839957,-1,-1,-1,929978,-1,-1,26894,373109,113134,-1,729123,377009,73057,216055,-1,-1,-1,-1,-1,502729,67247,164872,-1,-1,393048,-1,275129,512263,-1,316786,-1,-1,-1,549438,-1,-1,-1,987787,18680,-1,-1,419332,-1,-1,-1,814137,80311,-1,-1,22148,310755,119349,635190,-1,-1,12632,-1,-1,-1,-1,712747,387720,692492,871880,970694,611987,422189,590,-1,-1,124876,-1,-1,-1,-1,389613,-1,-1,-1,-1,307610,974483,-1,-1,894861,-1,675118,-1,994325,496754,-1,-1,515816,-1,-1,385536,-1,243131,648230,-1,307029,-1,-1,678121,-1,-1,-1,629119,-1,606606,-1,871285,-1,-1,960476,-1,310613,46763,-1,-1,461387,315821,650417,-1,313045,-1,54250,984013,373297,-1,708899,-1,-1,-1,-1,720062,499717,153439,175217,834712,440998,-1,-1,947059,-1,-1,304326,-1,-1,-1,904530,-1,155401,527066,-1,-1,646124,264094,684895,347840,-1,-1,-1,318923,679472,323881,-1,881482,877297,545843,-1,-1,-1,-1,-1,-1,419243,-1,-1,761225,-1,-1,901506,-1,-1,-1,-1,83172,-1,442240,479076,925467,958935,904993,794420,936066,-1,-1,-1,-1,23943,-1,547601,-1,-1,-1,915139,326018,-1,688561,-1,359008,-1,-1,-1,721748,215226,741198,229015,314977,583598,780915,-1,114915,-1,307821,-1,-1,688812,-1,-1,-1,-1,-1,-1,-1,317358,240873,124442,-1,-1,-1,-1,281913,369620,214835,942223,-1,-1,709711,-1,-1,-1,461059,250756,-1,-1,114318,268421,-1,684593,564202,-1,-1,811649,-1,971462,632522,-1,184840,76341,-1,-1,-1,888493,-1,277205,-1,838893,337303,-1,-1,725786,707125,731625,968789,532353,-1,36492,-1,875221,-1,640359,-1,575168,-1,-1,-1,334951,523556,-1,692077,-1,826768,600213,141898,64271,-1,260777,220669,-1,12055,-1,134143,-1,381253,679659,-1,418154,-1,-1,-1,-1,61709,-1,-1,676239,-1,-1,400272,728660,626791,444002,210920,618764,363116,919190,-1,-1,-1,826094,383078,76597,178441,189483,943202,880623,-1,-1,-1,-1,949450,244374,-1,521241,-1,-1,47980,-1,-1,-1,205226,-1,-1,-1,-1,86396,-1,-1,589362,612046,-1,430904,583423,631919,531,-1,508445,82738,672437,-1,-1,49699,-1,-1,490481,-1,19607,257586,-1,139791,561613,-1,-1,817557,890010,914439,912696,-1,88607,-1,-1,-1,995486,-1,406851,-1,-1,-1,-1,443614,-1,-1,565352,125424,-1,266141,56386,-1,336355,943883,417038,-1,936242,528491,58386,133395,564643,-1,-1,481398,-1,-1,-1,-1,532654,80568,545438,835009,440835,30318,340826,290388,-1,440669,-1,921357,-1,100288,864465,40686,-1,852459,-1,-1,-1,301361,933018,-1,169193,614256,155419,630880,89981,-1,-1,4699,40891,-1,572680,-1,-1,652654,417388,-1,-1,931277,385604,7902,308971,-1,838028,-1,79685,-1,639547,208222,864660,-1,726911,-1,655996,595069,-1,-1,91808,-1,-1,-1,51393,-1,-1,-1,243011,857636,-1,-1,645822,-1,-1,335120,435159,712205,-1,-1,-1,-1,187303,-1,116547,-1,487181,-1,-1,257569,475101,521425,993172,-1,-1,608370,984988,771612,-1,952696,-1,-1,458572,951009,-1,925431,600610,-1,9210,620768,565877,-1,591436,-1,912758,-1,563200,-1,-1,863737,925133,634641,-1,-1,-1,-1,-1,416796,-1,973,-1,157327,444902,-1,-1,-1,-1,-1,768837,132130,-1,305410,-1,-1,-1,325083,-1,-1,-1,807798,7731,-1,-1,-1,118447,596653,571052,85351,971177,-1,568963,447877,-1,360875,592397,-1,771239,300840,-1,-1,-1,73207,-1,-1,-1,-1,-1,842870,892809,-1,958817,-1,708488,989002,-1,179099,-1,-1,-1,-1,-1,-1,930386,869264,-1,-1,-1,426757,33009,-1,-1,-1,-1,-1,-1,757732,-1,-1,-1,-1,364681,450465,604029,-1,-1,-1,-1,-1,-1,174534,41450,952776,231361,-1,114764,-1,138976,959288,-1,583527,115232,67742,383697,-1,-1,-1,-1,827864,530211,559115,-1,-1,-1,926970,-1,653588,672592,-1,-1,283186,950680,-1,101153,-1,3609,809655,210745,-1,855749,-1,457550,418481,-1,636624,-1,-1,-1,-1,783410,423302,-1,-1,-1,595838,676904,-1,622713,489165,-1,110282,-1,758070,869280,714565,-1,867851,755117,692824,548724,695232,-1,506101,609075,306837,154463,-1,-1,808814,-1,-1,423759,-1,495259,-1,-1,-1,408615,-1,719635,889916,89296,164690,-1,-1,569227,-1,596850,99580,794750,-1,598368,-1,-1,414164,-1,-1,474931,952490,-1,886927,723191,554569,-1,805958,871704,-1,481886,-1,498344,-1,803447,-1,-1,121587,-1,152017,-1,-1,-1,410825,995191,-1,-1,895123,209757,-1,-1,307867,-1,-1,-1,-1,-1,-1,-1,-1,263121,273026,-1,-1,84362,506646,-1,-1,495460,-1,700303,113971,-1,-1,420006,294157,857741,532690,699628,860559,-1,159523,260314,509351,-1,121996,-1,-1,-1,502221,548169,852521,-1,-1,529651,-1,-1,-1,73288,907776,-1,-1,-1,-1,-1,-1,-1,-1,54586,-1,842410,-1,-1,-1,352988,976581,900535,967738,-1,-1,-1,-1,564770,-1,-1,-1,-1,-1,-1,553160,-1,-1,257093,-1,-1,-1,717307,-1,787955,328185,484446,893609,-1,411187,-1,-1,-1,-1,829956,454082,-1,346563,-1,937642,-1,679572,597659,343238,507639,-1,907178,424337,278487,-1,-1,-1,13108,-1,237039,-1,309438,669885,905518,691309,458877,-1,-1,285936,-1,774503,-1,648315,754028,228523,703293,167647,257407,-1,-1,-1,570602,797916,318249,-1,570333,-1,-1,-1,605924,335026,-1,-1,618382,-1,-1,-1,-1,-1,531805,368687,-1,960992,-1,646904,312464,-1,327399,-1,-1,-1,-1,-1,441791,159324,-1,-1,160295,-1,630547,256835,-1,-1,280127,79749,-1,580073,553212,123127,-1,-1,-1,-1,485838,-1,-1,406149,835242,682010,767083,558276,596260,-1,754006,957972,-1,-1,200167,303406,593835,823186,910401,-1,615969,733923,675364,-1,-1,755648,741519,-1,-1,654853,-1,857197,-1,-1,33374,370893,630305,538628,46523,-1,-1,950268,878222,-1,475979,442944,270722,-1,246113,-1,-1,-1,-1,-1,-1,-1,-1,545134,545022,212024,405808,-1,610054,12943,911469,413670,-1,-1,-1,-1,-1,-1,-1,-1,-1,800047,-1,-1,-1,-1,812671,-1,695212,544722,616828,702592,-1,-1,-1,945051,-1,445799,-1,-1,479615,221195,491676,-1,91193,751648,29295,-1,174038,506913,-1,441573,-1,-1,176621,488876,-1,-1,-1,210310,521381,861577,-1,-1,918488,-1,-1,-1,-1,-1,956230,-1,-1,-1,-1,156032,-1,996447,-1,476215,-1,418342,494612,-1,-1,141973,760751,611339,-1,864740,-1,113390,108251,657712,-1,-1,-1,-1,546270,-1,362567,-1,-1,-1,616635,-1,-1,675309,632009,-1,966087,602337,537239,-1,-1,-1,-1,-1,-1,-1,659351,578767,-1,747069,948853,-1,904957,156157,-1,-1,-1,567181,-1,-1,-1,795815,-1,972427,-1,697209,-1,-1,-1,191315,-1,-1,538252,451985,-1,-1,-1,798289,-1,309765,403945,-1,996574,-1,-1,-1,-1,570530,339494,760318,-1,962220,933125,587400,495760,-1,-1,-1,-1,-1,356397,-1,-1,950288,881316,475500,296000,-1,-1,-1,-1,504435,214615,469846,382630,-1,-1,-1,-1,388632,239906,-1,-1,500114,-1,-1,467966,963962,-1,-1,-1,194775,833072,-1,225423,-1,-1,-1,-1,-1,-1,-1,338709,-1,824134,-1,-1,914379,805803,808403,276887,-1,638066,613935,706274,-1,-1,355672,-1,-1,-1,-1,-1,-1,503376,-1,775565,533086,-1,27851,596206,131661,-1,614791,-1,-1,-1,-1,-1,272836,-1,846815,798931,693593,486046,-1,-1,-1,574080,-1,278972,409507,780722,-1,842992,886340,-1,572425,108721,-1,31905,-1,-1,-1,-1,502270,421855,-1,361768,-1,417890,-1,-1,-1,-1,938481,562173,-1,-1,22567,-1,706659,-1,494255,276583,146173,-1,-1,-1,986805,193536,758427,354568,137717,-1,264549,-1,900416,-1,752027,-1,-1,-1,639531,741199,912868,485357,-1,344249,109776,-1,800457,185066,88162,-1,-1,296871,-1,439179,-1,-1,393340,716112,737919,698161,305125,215569,-1,-1,21125,-1,441608,-1,-1,214748,351049,-1,421263,937783,451881,419368,-1,-1,312892,-1,-1,861886,-1,490127,568694,-1,-1,-1,453606,-1,25280,-1,-1,366574,953911,-1,-1,-1,-1,-1,-1,123740,-1,-1,-1,-1,773909,-1,-1,-1,505659,-1,33118,-1,33394,-1,-1,755416,60979,-1,31090,67411,-1,-1,-1,-1,794098,991402,247249,138949,-1,292982,857132,467210,598842,-1,-1,472582,664476,-1,-1,205961,-1,-1,219914,304367,-1,645839,858565,-1,61059,-1,233788,927003,-1,503569,108238,-1,-1,506266,750422,140556,800216,-1,309522,81627,887166,-1,814934,-1,30272,551655,-1,-1,762691,423593,-1,-1,703998,261225,-1,-1,-1,772640,-1,931123,51146,782515,-1,367350,-1,-1,30999,250996,539088,-1,477618,153883,-1,947550,-1,687677,-1,-1,283504,516690,-1,-1,-1,132347,-1,988625,33878,971059,-1,-1,530057,-1,-1,523492,839036,837663,862084,903141,-1,-1,-1,807001,-1,-1,376829,864292,-1,938010,-1,541424,57682,690483,-1,861879,929772,361657,-1,916754,738921,284820,-1,234086,84256,223970,-1,-1,652198,115073,73884,795654,601273,-1,156253,-1,-1,-1,170227,-1,-1,90088,706507,-1,580775,-1,-1,213595,-1,282209,-1,503548,-1,-1,587680,400993,81341,80016,-1,316646,801697,406393,944284,-1,79658,-1,-1,130891,475830,804058,-1,-1,664717,-1,-1,661335,-1,876835,488396,720157,-1,868571,-1,-1,647753,223662,466955,9379,-1,74367,-1,-1,838936,428500,118243,201953,-1,954720,-1,-1,-1,53108,-1,-1,-1,137456,-1,724658,-1,434592,-1,-1,853014,954486,364099,618913,-1,-1,-1,-1,414099,392686,950912,499026,-1,574266,-1,779748,-1,581753,-1,-1,-1,623877,-1,-1,-1,67009,164744,-1,743474,5876,881876,-1,780856,-1,-1,973508,-1,319332,-1,-1,-1,298091,-1,495937,976240,107799,755692,-1,884464,77494,408734,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,935367,-1,119752,-1,-1,559955,-1,162902,614873,292910,-1,-1,-1,-1,-1,-1,38442,876538,27174,-1,-1,-1,-1,-1,952710,821550,898558,358869,-1,-1,-1,-1,-1,263093,-1,-1,-1,-1,110926,326803,-1,863667,499602,-1,-1,-1,-1,477291,591960,246693,-1,61776,210197,-1,-1,-1,522031,-1,-1,459429,801887,-1,-1,-1,-1,-1,-1,-1,-1,239060,864843,-1,-1,424783,-1,273103,915156,995583,876668,-1,177493,1437,475563,-1,588368,488447,-1,-1,835336,-1,-1,-1,-1,-1,-1,404889,-1,668493,-1,124098,-1,-1,145185,-1,-1,888829,578204,-1,331757,752542,40615,645972,-1,-1,-1,255624,-1,-1,951648,-1,-1,-1,-1,-1,-1,47148,-1,-1,-1,-1,-1,144498,993711,552398,533279,496805,-1,160794,245623,387385,875668,-1,-1,698392,169801,-1,233830,994757,853518,431004,918852,-1,344625,-1,-1,-1,-1,-1,-1,230060,962249,981424,-1,947020,511412,359471,-1,-1,-1,437316,-1,94317,610455,-1,788971,-1,85925,358075,631400,905316,425830,404862,-1,806510,186312,-1,155835,-1,46534,-1,74806,-1,-1,-1,-1,-1,-1,-1,966672,-1,401142,148997,-1,519481,-1,702143,232526,900599,-1,-1,-1,975940,274731,242199,-1,-1,-1,-1,850192,-1,-1,3737,373793,-1,-1,-1,403459,-1,-1,-1,-1,730666,624759,-1,-1,396521,364599,174948,44733,566711,-1,939624,-1,-1,659229,-1,-1,232888,612301,292460,-1,783384,289069,-1,-1,-1,253104,-1,185213,580422,734233,-1,296106,-1,-1,431849,-1,-1,-1,-1,-1,-1,975685,-1,-1,386616,951864,-1,-1,-1,-1,359082,-1,-1,-1,262407,-1,-1,-1,152294,81912,376305,66979,-1,-1,388690,497030,475805,928360,-1,708429,-1,861904,836827,-1,352544,312063,-1,623239,-1,-1,64255,898633,-1,-1,394504,-1,-1,-1,482134,983483,542721,-1,69268,-1,953278,-1,-1,368602,395724,-1,-1,237492,492418,143308,-1,307648,-1,21229,465312,313891,-1,48344,-1,-1,559351,-1,-1,-1,-1,445276,945515,36775,-1,196595,231651,968744,820415,369710,-1,143325,398943,327299,-1,531801,-1,564148,-1,-1,882496,957832,769305,656707,-1,418108,590067,-1,-1,980937,781670,624280,-1,-1,-1,-1,-1,782290,-1,-1,-1,-1,90623,-1,957268,-1,397772,-1,-1,-1,719336,578063,381918,-1,853492,-1,-1,-1,174172,-1,7480,-1,854053,221601,113159,159554,348337,-1,423930,471949,981259,824561,150651,-1,429525,-1,845391,258453,623996,-1,787387,309718,-1,350024,-1,-1,449039,5911,-1,226417,-1,-1,621706,338227,177539,219874,-1,-1,-1,992722,-1,467622,-1,20711,674674,91519,-1,-1,357923,-1,260880,-1,-1,-1,-1,708123,647816,-1,489842,-1,-1,328823,798452,572977,735677,-1,689326,-1,977578,537426,391063,383187,-1,381647,888888,630175,-1,-1,-1,-1,265298,212733,298876,-1,729987,-1,7997,-1,511021,704584,915168,97487,934322,-1,56619,-1,-1,574271,699074,-1,-1,252837,-1,320104,-1,-1,-1,-1,576634,-1,-1,136523,420370,-1,585816,-1,-1,699052,998444,-1,-1,138348,442037,-1,-1,-1,623570,-1,-1,407240,-1,649771,-1,135682,808650,-1,704919,-1,433422,372162,-1,-1,-1,207655,147570,85471,-1,512415,-1,600893,133706,-1,71814,382389,-1,894880,365256,790617,-1,-1,-1,971505,854685,845595,-1,-1,-1,-1,-1,-1,366277,26050,-1,516973,312695,195190,-1,8084,77852,-1,-1,570114,-1,-1,663086,363131,481303,-1,139751,371926,700329,460528,-1,-1,199917,-1,-1,371025,-1,-1,-1,352600,935637,-1,-1,680556,-1,189246,-1,-1,-1,-1,-1,-1,645799,910119,573017,980018,90679,351766,-1,190442,947319,609574,642544,478680,-1,-1,7138,456989,132204,145889,417161,444470,856212,131714,-1,914758,928948,747948,-1,-1,890414,696589,965060,-1,278844,-1,-1,-1,-1,-1,-1,-1,50449,-1,918857,-1,454446,948093,-1,-1,195824,805661,264974,735404,-1,-1,-1,-1,132456,-1,971816,-1,316000,616074,970554,432953,889893,796543,837917,-1,927759,398429,64628,167079,883079,405178,202056,666071,-1,553936,707882,-1,789897,-1,-1,-1,-1,-1,618358,317519,300579,-1,811795,342606,-1,863705,-1,895393,799904,-1,150808,-1,-1,-1,19732,215494,-1,-1,938278,-1,-1,-1,361221,179806,-1,-1,369327,-1,-1,-1,588408,-1,126052,852140,-1,-1,-1,783088,673205,-1,524059,444047,356582,593404,703240,634924,651129,616607,217989,7460,-1,-1,39407,-1,193042,-1,-1,-1,-1,-1,54249,-1,182866,811742,-1,755727,-1,618091,167644,-1,-1,142539,536993,572010,-1,-1,456022,-1,980303,71377,414248,-1,-1,274208,189922,987586,381864,158375,-1,-1,603266,-1,415368,-1,-1,850103,847707,-1,-1,-1,933285,573009,-1,341473,648942,-1,-1,-1,-1,-1,-1,-1,-1,110125,-1,-1,-1,-1,-1,378477,-1,40955,-1,605142,295389,-1,835167,-1,-1,-1,-1,-1,-1,-1,578469,203696,836966,89217,920406,-1,-1,29026,-1,847604,-1,-1,738511,-1,-1,-1,-1,618664,-1,600853,926398,254378,-1,-1,421464,448030,542682,-1,-1,631558,148055,937410,-1,-1,-1,-1,661471,58552,189571,-1,848931,315693,452761,-1,854697,445645,-1,-1,170901,811373,-1,4840,-1,161148,90410,-1,-1,614536,-1,699216,-1,501856,-1,795858,863813,336183,826856,-1,-1,-1,-1,733947,-1,25090,-1,760201,188148,-1,-1,-1,-1,793836,-1,-1,596599,-1,-1,-1,-1,-1,-1,808185,314659,-1,516382,-1,-1,-1,-1,234306,-1,-1,-1,-1,602153,307171,-1,2972,619880,-1,-1,617578,-1,294944,-1,-1,-1,529249,-1,-1,267491,369904,-1,758492,-1,-1,-1,-1,-1,-1,42333,-1,-1,-1,324972,362122,-1,-1,-1,-1,961963,-1,409233,400895,898067,707279,-1,137434,71465,-1,37356,408256,-1,972888,343826,150230,-1,-1,-1,857641,-1,974082,-1,97550,-1,766936,830170,-1,610775,-1,331859,877535,-1,702343,503752,534703,641707,140868,-1,654546,90209,471936,-1,-1,-1,648411,-1,191318,295182,808980,-1,286893,156882,544010,-1,-1,-1,948791,541190,928558,754403,-1,-1,528418,641006,-1,38127,-1,-1,653784,755068,884060,295837,979198,701410,411860,240847,-1,-1,-1,-1,-1,141791,493395,73440,360943,579658,-1,981312,-1,-1,886818,158635,818212,159365,-1,-1,468970,-1,-1,-1,-1,749174,-1,-1,139183,-1,-1,591592,-1,-1,-1,186805,-1,378676,267720,-1,-1,449888,846322,991172,526726,-1,-1,636794,-1,-1,-1,659865,-1,292867,-1,287898,-1,541425,857531,-1,358294,-1,873336,31908,128344,-1,135568,-1,-1,645031,-1,809430,628676,556296,-1,618043,-1,-1,-1,152145,375266,-1,-1,-1,473650,-1,-1,-1,-1,585514,-1,82594,954073,-1,432678,-1,-1,885380,-1,985387,-1,227054,134175,513895,611216,815000,-1,654321,990275,17182,-1,66171,-1,472389,333458,-1,-1,649358,504156,-1,-1,-1,-1,-1,-1,-1,29118,901413,-1,-1,-1,-1,717834,787437,117272,975754,-1,539232,-1,230942,171525,-1,823618,580078,963653,406596,-1,-1,-1,946631,-1,-1,-1,266665,715249,979341,93451,406466,-1,-1,818041,860816,665095,-1,380568,-1,-1,-1,-1,364898,-1,447602,120291,-1,19504,-1,-1,-1,324925,874474,-1,-1,124463,323346,-1,385666,27538,66226,-1,772067,-1,-1,-1,626179,264617,482960,-1,-1,-1,-1,595149,-1,-1,882173,-1,-1,-1,625596,-1,270205,-1,-1,-1,-1,427320,-1,-1,776463,198264,768556,74275,842336,-1,500016,-1,-1,98598,-1,-1,647056,-1,977309,56559,-1,-1,-1,567071,-1,-1,-1,-1,-1,-1,-1,927618,499858,-1,-1,891089,40836,749475,-1,-1,-1,-1,223136,-1,-1,-1,-1,-1,-1,-1,818023,-1,-1,642206,-1,-1,639221,803991,515248,179420,231612,898248,-1,-1,322139,808016,-1,-1,953316,-1,749873,394272,931249,-1,-1,-1,306889,-1,-1,-1,-1,-1,-1,399959,960818,67033,-1,-1,22662,5370,-1,841858,386622,33667,-1,398465,-1,671611,12183,511225,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,772161,298636,689878,86747,972022,209679,-1,851514,811589,239421,312680,978725,552975,-1,-1,187904,-1,-1,-1,-1,915316,-1,-1,397520,272310,975908,-1,-1,-1,269646,221515,-1,-1,-1,-1,773343,-1,274360,-1,720070,-1,688275,-1,-1,-1,778341,191732,-1,-1,546035,-1,720087,-1,-1,-1,-1,-1,5241,688230,-1,-1,27257,-1,-1,-1,-1,790387,139523,-1,-1,-1,-1,-1,-1,625566,-1,-1,-1,728673,160770,-1,647465,-1,550616,-1,481339,-1,2608,672961,-1,860798,702309,600281,-1,-1,-1,223024,622770,-1,169673,349497,-1,-1,-1,-1,821918,692473,813150,598970,-1,-1,155670,723824,715342,-1,-1,596082,-1,-1,-1,-1,639173,647437,213911,-1,449468,582654,-1,-1,-1,-1,199242,-1,-1,281970,-1,-1,169883,-1,-1,-1,406815,794360,-1,-1,-1,-1,-1,989550,183092,-1,61661,-1,959389,-1,443965,-1,80796,-1,-1,-1,264388,296702,-1,-1,-1,-1,96668,-1,-1,395609,114829,-1,82950,667546,39554,381421,303971,-1,599785,540896,735518,-1,85834,-1,10113,435015,-1,570335,-1,-1,654017,84530,113370,228239,-1,32211,-1,877834,964356,-1,948411,-1,-1,90622,417962,-1,-1,-1,174654,-1,-1,123273,-1,139702,645185,54166,79818,-1,-1,-1,-1,205143,-1,524884,-1,-1,994281,-1,174358,563836,620596,184188,307977,62447,515977,433546,-1,319342,153834,297778,794668,174692,-1,-1,-1,-1,216651,-1,696681,683371,-1,787966,-1,214082,439239,597822,-1,811591,-1,-1,-1,680385,-1,-1,331903,-1,-1,849279,-1,-1,892692,-1,611725,-1,-1,283326,-1,-1,257592,-1,-1,818224,151694,-1,-1,-1,797247,-1,11639,649123,385943,-1,-1,649603,6159,-1,-1,216501,-1,-1,-1,-1,141131,677220,-1,-1,-1,520129,205650,628108,548377,-1,-1,-1,-1,-1,223249,77885,927605,114330,-1,-1,-1,317374,-1,-1,559045,-1,-1,-1,-1,-1,-1,-1,-1,-1,618081,80584,-1,174321,550751,-1,-1,813747,485473,-1,-1,-1,-1,467079,665905,-1,766486,838225,-1,-1,482800,990530,642510,531686,-1,491534,-1,-1,715893,-1,-1,387320,-1,591447,145314,27939,988914,-1,697032,147401,-1,-1,-1,523681,-1,64890,-1,-1,-1,964480,-1,746241,835971,815932,755215,456613,-1,-1,-1,-1,-1,-1,-1,277210,826098,438,-1,-1,519143,-1,851193,69855,633673,649690,249516,-1,646498,-1,430495,734975,36263,595701,-1,-1,-1,500138,459244,889113,438001,324095,-1,-1,-1,309960,-1,-1,-1,171218,677417,211435,-1,200197,640531,-1,-1,270210,-1,-1,847283,-1,650888,-1,444585,-1,741550,537665,-1,-1,471211,-1,-1,-1,59322,-1,260970,-1,-1,581395,259404,865936,602620,883114,685360,-1,-1,865392,-1,-1,-1,-1,-1,129435,778390,845312,529704,-1,-1,312240,286188,242787,108000,-1,-1,-1,-1,442591,833907,336350,434781,84040,65884,770979,312308,-1,-1,-1,545748,-1,831772,-1,727586,-1,157317,-1,-1,1473,195432,884597,-1,757491,-1,-1,-1,-1,-1,-1,-1,638427,-1,766190,-1,-1,-1,-1,-1,941230,-1,-1,-1,731648,-1,43421,-1,-1,-1,-1,-1,730839,-1,531794,118524,-1,-1,-1,817674,-1,-1,978768,-1,-1,-1,-1,117189,357910,24284,-1,-1,-1,370685,-1,604993,-1,227310,-1,409388,-1,460597,-1,-1,945758,-1,819579,136901,-1,-1,-1,566053,14796,-1,563644,68889,913897,515377,-1,-1,199976,378066,806969,991896,-1,433756,-1,337828,146062,-1,147957,870703,-1,425816,-1,-1,386068,-1,-1,-1,803920,817802,-1,283726,-1,75375,-1,486728,42467,-1,208885,-1,-1,494197,-1,-1,87981,-1,714462,573316,-1,-1,-1,690560,331425,-1,958808,864049,459105,861645,434647,468749,-1,-1,967939,704688,-1,608646,532451,-1,-1,-1,-1,-1,-1,-1,356236,135689,100365,667993,-1,-1,507129,188197,-1,-1,715501,511972,-1,-1,-1,94915,106699,-1,796516,-1,-1,-1,630661,-1,-1,672151,-1,500416,-1,-1,-1,836828,-1,-1,-1,428258,-1,-1,953588,-1,-1,169271,442262,79390,-1,197373,-1,239351,-1,-1,51130,205208,698169,132448,-1,452877,-1,847336,-1,-1,537616,-1,417637,-1,-1,-1,-1,-1,897868,420114,626502,413723,-1,-1,714605,557305,797977,967876,-1,-1,691220,910673,259727,-1,-1,-1,991066,-1,840159,-1,-1,448716,-1,906619,654648,-1,242235,-1,-1,-1,-1,-1,-1,-1,886379,-1,824163,-1,746879,-1,283488,-1,-1,700445,325987,-1,-1,-1,-1,323093,264282,758014,-1,-1,-1,37261,-1,986983,636566,607933,315156,793650,-1,712196,669362,857451,385143,-1,24975,492773,742662,-1,134321,775216,-1,-1,205180,-1,-1,-1,797578,57763,-1,703709,806493,604285,580461,488858,-1,-1,-1,650774,793943,-1,460737,602319,-1,586781,-1,-1,-1,-1,-1,-1,-1,383592,287805,742818,-1,-1,779792,-1,-1,-1,147239,-1,-1,-1,196863,-1,-1,-1,-1,-1,520903,548916,-1,-1,-1,-1,-1,755155,405227,-1,820426,266803,781929,512782,-1,543262,548369,-1,721295,-1,89709,-1,-1,677453,-1,703674,-1,-1,599197,169389,574780,-1,-1,646431,-1,797379,-1,-1,-1,-1,839595,-1,-1,-1,661612,726726,6457,-1,73871,817726,705028,-1,-1,3444,-1,-1,-1,-1,545268,-1,886508,-1,-1,-1,-1,-1,825197,-1,832868,450428,-1,540928,-1,577527,-1,893741,-1,610379,774865,220684,-1,-1,-1,85552,-1,874840,712070,756558,718261,569854,-1,-1,-1,-1,239601,-1,184498,-1,-1,-1,57572,-1,-1,390918,-1,-1,-1,181974,346096,541275,936655,660739,-1,113466,810191,-1,337556,234471,-1,705566,705715,-1,432495,928732,-1,-1,644329,169582,565542,-1,-1,-1,-1,-1,-1,-1,-1,70786,212288,771509,993505,-1,547856,795085,282265,-1,548171,29170,462569,-1,169477,-1,138131,-1,-1,477548,-1,-1,-1,966059,633803,-1,6596,-1,399592,832203,-1,321959,-1,-1,864397,56238,260199,592618,-1,-1,-1,964258,-1,84045,842712,-1,494605,-1,-1,576167,763763,487300,936421,-1,793167,-1,-1,294322,149414,663166,-1,753354,325002,970255,975882,-1,-1,-1,-1,-1,847719,575938,698287,183529,735552,-1,-1,-1,32913,-1,632411,-1,786649,133985,999444,-1,676333,-1,401473,421543,-1,661965,530394,394212,-1,275804,695841,48522,561043,558547,574051,302434,137136,715528,657062,-1,-1,-1,890892,-1,-1,-1,113331,892190,-1,809298,776338,-1,951299,-1,-1,-1,646036,-1,377456,-1,627362,717605,-1,-1,922986,112543,-1,-1,-1,-1,-1,666206,-1,995519,-1,895544,157542,812976,-1,-1,-1,-1,577906,-1,-1,-1,50984,629673,-1,438900,30622,-1,-1,-1,461136,4878,-1,625240,-1,-1,875340,405286,831994,285343,-1,140180,122953,606040,893366,-1,-1,90578,958375,820308,878775,458864,424159,-1,354454,962015,-1,844569,-1,135481,798128,-1,-1,-1,841686,148731,355380,-1,733026,-1,984129,426149,243796,-1,34869,-1,109021,-1,-1,448801,274057,234606,14464,-1,806631,-1,426254,475786,-1,-1,546868,-1,621548,-1,-1,-1,131144,-1,20640,805412,196137,-1,-1,143585,-1,322278,-1,528496,-1,-1,750690,-1,-1,713128,654032,250740,33879,971357,479601,-1,652660,697455,583883,236465,366683,-1,-1,-1,515191,850987,-1,-1,-1,46227,107452,246076,608950,-1,-1,421652,-1,891833,420192,-1,127233,441659,-1,969885,-1,63576,-1,219577,113952,72973,933995,683620,321501,455510,412696,-1,-1,-1,-1,687681,-1,257512,-1,-1,800130,430336,832976,819155,934135,-1,-1,166789,-1,-1,845287,970244,527708,-1,811910,-1,-1,764999,625145,306266,726095,90011,421315,-1,531510,93724,150899,-1,739140,-1,309837,-1,520402,51895,723852,-1,504298,-1,161916,-1,286536,555511,45634,973095,312333,-1,676252,-1,-1,-1,-1,-1,847734,93951,-1,414171,-1,-1,-1,664360,-1,755681,724627,337097,376557,-1,-1,619614,810734,308474,-1,266830,461660,779872,518817,318836,821575,825404,-1,-1,69591,-1,712971,542240,-1,-1,-1,-1,-1,599941,470668,33478,-1,989599,101804,840329,-1,-1,-1,-1,120296,-1,-1,-1,55176,-1,-1,668022,266817,750171,729537,-1,852250,-1,119351,324000,-1,140782,-1,526251,-1,-1,-1,-1,-1,-1,-1,-1,309883,565083,560586,367053,154394,-1,691305,-1,-1,833766,-1,30031,-1,722244,411415,-1,841892,-1,139113,-1,271621,910758,-1,206394,-1,352081,959928,377705,145984,-1,-1,163764,-1,-1,931145,-1,828454,-1,-1,-1,-1,-1,-1,975410,875894,-1,121260,513624,-1,165831,-1,-1,-1,162409,-1,269930,408317,-1,86007,777477,396717,242811,422922,421564,132270,315142,-1,525971,742553,668860,799203,78925,-1,-1,-1,594964,500067,954893,-1,-1,570636,-1,-1,599565,896901,-1,-1,924260,377218,593831,-1,468854,-1,-1,135035,-1,269566,-1,627727,754852,-1,234355,-1,-1,-1,-1,847269,-1,-1,227557,-1,-1,-1,617040,260541,-1,-1,-1,334702,844851,478329,703258,-1,-1,277518,597079,796625,826071,862852,-1,-1,930823,465190,-1,-1,823269,-1,378595,731994,76145,-1,-1,-1,-1,827718,-1,731392,311350,724971,912178,-1,-1,879742,13658,139136,217651,-1,423526,536481,-1,155032,695863,-1,422617,-1,-1,947189,554592,206228,-1,285515,-1,257490,822456,373638,-1,-1,576697,-1,-1,-1,-1,522437,-1,-1,-1,824499,334052,266947,-1,-1,-1,904302,631344,-1,-1,-1,-1,-1,761694,93349,-1,737600,-1,104812,-1,260742,255470,-1,-1,-1,855997,-1,707896,-1,508355,241685,-1,307989,866390,-1,53688,-1,227766,-1,-1,-1,670622,-1,-1,762239,-1,-1,-1,-1,432420,156839,307099,332745,-1,667462,746700,13344,-1,-1,-1,-1,-1,-1,934139,-1,947404,-1,973183,-1,-1,-1,757594,-1,-1,-1,492825,762219,-1,976467,-1,545259,169365,-1,973544,-1,239271,294112,-1,512778,-1,-1,-1,-1,648952,642579,-1,821578,600412,167706,997326,-1,262138,-1,-1,-1,61849,314320,464314,327121,886730,546507,-1,185603,931721,524340,-1,643245,-1,-1,-1,-1,336247,185843,977251,-1,-1,475418,-1,-1,-1,-1,88937,-1,-1,-1,-1,-1,-1,776720,610210,916572,389353,-1,85996,-1,451907,-1,384670,383260,192652,268321,-1,883455,-1,-1,-1,-1,48757,542318,398437,274680,826398,543466,610321,-1,-1,109320,861311,-1,329544,-1,581602,18847,990937,-1,926772,-1,-1,939194,-1,318566,-1,214463,470801,-1,182796,960567,397448,690986,278639,10602,152605,-1,-1,-1,-1,-1,-1,-1,234536,3461,-1,-1,189024,11463,-1,-1,584610,975008,-1,-1,925594,-1,258405,-1,262122,-1,-1,-1,-1,507885,596972,-1,-1,-1,122947,-1,651307,-1,-1,-1,-1,-1,664465,778961,989028,-1,481893,-1,-1,97194,528008,42715,717191,-1,-1,996192,-1,794927,-1,136590,471313,-1,-1,450633,955649,-1,455736,24696,-1,-1,-1,-1,-1,-1,124610,526275,23755,272889,-1,389774,262156,142404,988992,665623,9684,-1,-1,-1,187335,535194,180396,682648,-1,-1,-1,-1,690129,-1,-1,669827,-1,-1,-1,-1,13845,531555,-1,608541,834691,85210,-1,-1,-1,465581,32808,139834,-1,-1,-1,422548,-1,-1,-1,146123,957136,-1,-1,-1,968399,-1,-1,-1,449867,-1,180339,508492,-1,516131,-1,-1,658320,390666,-1,966411,80716,14891,96725,-1,-1,494235,191712,480204,-1,814549,461958,171948,-1,-1,471588,-1,89660,461847,199401,898954,-1,111453,151101,-1,17372,311091,684831,-1,795610,119815,682494,865661,316606,-1,-1,684133,-1,-1,-1,-1,-1,127318,-1,-1,-1,-1,-1,612859,918545,143765,284311,553804,802685,-1,761468,-1,761002,-1,-1,-1,822824,-1,206709,-1,-1,-1,809480,501927,-1,517945,-1,-1,-1,-1,70366,684279,-1,-1,-1,852661,77237,669637,92925,88884,42421,-1,-1,390704,142904,927442,755667,-1,208627,798223,-1,545189,-1,-1,827486,375900,947960,975513,-1,295108,338801,173727,21429,-1,786715,-1,878283,885663,60123,-1,541582,432411,265035,-1,131408,-1,-1,282998,-1,-1,-1,446197,-1,-1,-1,-1,975153,-1,658706,-1,-1,-1,-1,-1,-1,624650,-1,-1,-1,-1,-1,668900,-1,373915,-1,221183,5327,744639,-1,-1,601381,-1,506911,835170,-1,-1,-1,-1,311813,418959,279307,-1,330875,252153,332555,-1,-1,272665,629599,-1,-1,775836,-1,-1,-1,171189,850497,-1,-1,798785,338756,-1,848853,-1,-1,42946,503948,-1,508681,68292,434213,500031,-1,686403,-1,433628,-1,-1,184266,-1,118176,112498,-1,72534,125295,170218,825113,-1,-1,-1,178190,-1,927851,159775,-1,890878,326998,-1,-1,593441,940281,900884,-1,-1,-1,-1,134984,-1,963744,442752,-1,-1,-1,-1,-1,-1,-1,-1,-1,950178,-1,916508,55964,-1,-1,-1,104046,-1,-1,-1,-1,693545,40942,191918,712623,-1,437320,-1,-1,-1,-1,364427,426565,-1,-1,988972,80632,776540,-1,-1,-1,-1,-1,-1,-1,-1,180188,805236,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,69451,273709,-1,-1,539505,-1,-1,74557,-1,-1,612429,-1,-1,841030,775194,617063,45881,-1,-1,470619,901284,-1,-1,-1,133124,101107,215353,-1,-1,-1,346345,981497,417335,180688,-1,-1,840443,-1,480443,-1,-1,-1,73873,-1,-1,852203,983800,-1,455457,460551,513363,-1,519075,374914,-1,857979,-1,835796,-1,-1,737427,-1,467420,-1,507641,682471,437271,-1,-1,-1,-1,-1,-1,626912,352502,497789,-1,851362,-1,-1,902672,-1,-1,97452,-1,-1,57457,-1,913980,-1,-1,88724,-1,-1,-1,-1,-1,914365,-1,942001,984287,796800,306627,290378,345656,-1,-1,323381,425845,249439,436487,-1,-1,563209,495131,-1,476030,-1,512063,-1,405068,999875,-1,311027,-1,-1,203800,-1,542045,-1,-1,846431,321746,740400,-1,-1,860904,-1,699241,568550,-1,-1,-1,-1,-1,696913,-1,-1,-1,-1,-1,126067,939243,649563,-1,-1,785683,810556,-1,-1,-1,-1,-1,890190,875508,721192,207762,-1,335440,-1,-1,-1,463282,-1,394016,-1,-1,-1,940121,-1,68415,46909,627788,843097,-1,-1,-1,-1,673631,702011,-1,90080,45766,-1,405703,-1,8805,-1,865109,896847,736564,-1,280238,719579,132235,-1,393988,350013,-1,258743,852182,255421,-1,-1,521265,706827,931809,249613,-1,739017,-1,101087,440749,92286,-1,738033,-1,780453,-1,272487,175511,358584,-1,479519,-1,327687,552281,302244,-1,-1,710189,-1,559178,549452,-1,-1,916843,-1,432789,252324,729439,560722,464828,-1,-1,133252,500897,-1,-1,-1,-1,-1,816713,334177,404558,-1,-1,711134,651617,-1,383469,629162,-1,-1,666605,775180,672869,-1,-1,348756,745667,-1,376485,-1,532054,-1,97421,-1,-1,425109,633684,-1,-1,-1,541869,-1,-1,-1,84357,-1,728623,119936,-1,-1,-1,-1,262817,498740,-1,-1,-1,86910,-1,16951,-1,-1,644057,508290,520074,-1,2710,574976,-1,-1,955498,-1,-1,-1,243449,482249,-1,-1,-1,275966,347832,522698,72179,-1,8186,271762,-1,288473,-1,404385,-1,309208,-1,-1,-1,12774,-1,602516,274025,168079,203463,84807,-1,-1,921702,276592,743924,766526,-1,508822,873319,953261,13728,-1,807417,909229,496035,239152,865697,-1,672003,483080,745584,974093,960910,-1,537363,677263,908435,830680,993936,298040,-1,-1,-1,348795,-1,-1,-1,847471,755247,-1,301242,996605,184584,-1,-1,-1,617865,460016,269931,482701,-1,-1,724946,718875,-1,948060,954483,490457,147467,74541,154633,-1,784226,-1,-1,-1,-1,80643,-1,815205,845667,397068,157319,579570,415841,960604,475850,764116,-1,29979,-1,880198,-1,-1,-1,157286,912212,302335,614467,-1,823288,-1,442254,191739,403979,-1,-1,-1,-1,-1,404557,-1,765216,-1,108740,661754,634418,-1,135613,95739,59160,647271,992580,905205,214715,721599,952156,939621,-1,-1,-1,125007,-1,306536,-1,-1,-1,-1,-1,927580,-1,-1,442253,224721,-1,946835,984022,925862,-1,-1,-1,234949,699122,445692,-1,544850,814765,-1,783523,477148,887873,-1,-1,-1,998022,-1,881931,-1,651590,-1,942283,-1,-1,-1,698542,635502,986199,67908,-1,-1,-1,464544,56816,-1,-1,223916,-1,653187,-1,-1,-1,154131,879488,632743,324564,673941,654305,-1,66830,635070,482625,-1,719470,984064,725844,-1,242041,291169,-1,592335,5349,-1,-1,656876,287486,-1,-1,-1,20632,-1,-1,179809,266559,-1,-1,-1,-1,-1,-1,-1,-1,171461,-1,-1,593114,-1,694904,272367,-1,848092,298458,157678,-1,999429,694810,34217,-1,-1,881965,-1,170344,-1,-1,-1,817253,601450,-1,482441,20078,-1,518514,928237,-1,-1,18351,-1,-1,-1,-1,-1,40451,333,271758,-1,-1,378718,-1,-1,-1,655396,354803,-1,21589,530927,634686,545992,-1,-1,804397,632813,836295,-1,-1,320888,-1,238311,-1,357945,-1,-1,106478,-1,616292,363574,686311,-1,-1,460166,809118,-1,-1,683673,-1,809254,935299,712443,-1,-1,803097,-1,617686,860671,268224,941028,270863,-1,-1,271581,737037,-1,-1,803582,222902,-1,514629,-1,-1,-1,-1,-1,-1,-1,906043,715442,-1,740188,551578,51825,202040,40267,259632,146279,-1,-1,352064,455788,175802,672839,-1,-1,78177,982516,-1,-1,-1,901490,228057,-1,-1,185678,134752,-1,-1,-1,-1,542806,-1,444748,839824,102533,54874,133662,-1,166452,-1,258205,-1,-1,529052,-1,-1,852951,134591,-1,574658,527335,915277,-1,-1,-1,-1,294569,888294,-1,-1,-1,672995,764187,-1,423049,-1,-1,243328,-1,-1,-1,505857,-1,-1,-1,-1,163847,-1,108666,48481,-1,-1,986713,-1,967964,329099,480852,-1,-1,-1,261902,-1,9487,-1,-1,-1,-1,-1,283096,138809,802338,488841,-1,675561,-1,-1,-1,641003,-1,860302,104463,710057,-1,-1,-1,838319,363418,521512,-1,-1,833227,508176,-1,689869,-1,-1,551190,-1,-1,837196,-1,-1,-1,-1,-1,-1,515147,-1,-1,-1,205255,-1,-1,61402,-1,518273,961055,515172,165061,-1,-1,-1,923480,744251,-1,-1,-1,487053,764249,244771,-1,-1,820998,350353,747353,590062,-1,-1,-1,270812,-1,471465,-1,-1,-1,76193,978013,-1,689088,192077,566821,-1,-1,564615,-1,344888,-1,54042,-1,-1,927737,-1,336539,310234,-1,-1,837116,951583,99812,199217,6026,583739,-1,664459,-1,-1,581099,328094,-1,249537,-1,617738,-1,-1,353653,-1,235441,745520,-1,193090,-1,-1,-1,-1,271930,-1,-1,714286,90824,-1,-1,187066,609685,736720,774467,448186,46114,651771,-1,321159,-1,247159,-1,-1,-1,13952,-1,-1,-1,707591,-1,-1,-1,-1,45478,-1,-1,511679,662699,324755,-1,316021,-1,-1,399275,654960,922431,542057,632873,435610,-1,-1,693081,529917,731078,-1,-1,-1,-1,-1,-1,247983,-1,115970,289446,-1,-1,287496,569225,314942,-1,-1,933856,-1,-1,978558,-1,-1,248726,47184,417283,-1,-1,-1,621869,274817,754841,535240,463617,-1,595617,435902,-1,-1,985410,-1,-1,679397,-1,323031,-1,143689,-1,-1,-1,-1,-1,463555,-1,-1,490762,123265,-1,-1,-1,-1,294863,829316,359132,614901,-1,-1,548501,-1,468535,-1,-1,-1,-1,-1,786873,-1,-1,856606,-1,-1,210101,641412,-1,-1,441453,-1,-1,-1,480839,583553,664586,828327,-1,-1,-1,-1,937378,-1,73055,-1,-1,-1,955656,-1,-1,-1,58796,636685,18697,-1,357363,-1,872836,-1,244450,-1,467038,977782,-1,957175,-1,628745,-1,162080,-1,-1,76820,-1,-1,-1,-1,726674,-1,-1,-1,-1,717654,377108,-1,176394,-1,22755,-1,-1,448636,-1,-1,996956,-1,-1,662484,939345,151288,-1,-1,-1,885926,31727,-1,-1,-1,381626,882344,640487,-1,-1,-1,-1,153265,401870,56019,-1,-1,818659,-1,-1,-1,395456,506183,96230,798654,801807,-1,-1,-1,368873,-1,-1,631658,14561,-1,467929,-1,580285,807405,364166,148432,30068,-1,-1,-1,743743,-1,-1,-1,849296,318617,-1,423571,224939,-1,958671,-1,-1,-1,122536,-1,44197,-1,-1,347372,-1,171509,-1,-1,326314,-1,-1,-1,569939,-1,582811,111619,550100,589553,-1,-1,643501,-1,-1,592964,-1,-1,812769,17952,142069,370752,742597,421067,-1,-1,-1,927771,486452,444262,129707,-1,-1,-1,526966,423775,937181,-1,-1,-1,529696,-1,-1,-1,-1,411745,487121,733039,-1,934829,720892,269848,-1,-1,441640,607919,-1,-1,-1,140599,-1,531177,-1,-1,552421,875939,-1,-1,-1,-1,746991,374476,444440,684907,911008,787694,-1,669468,70431,-1,-1,-1,-1,-1,-1,337716,-1,605739,480454,40014,-1,27984,179928,-1,-1,825756,-1,56715,964172,767150,126497,372299,921590,506219,772688,-1,-1,-1,-1,-1,-1,-1,-1,-1,847609,639193,397929,-1,-1,372769,-1,-1,451834,770335,-1,-1,-1,550887,-1,842933,-1,25806,-1,600261,656720,116350,359163,-1,683666,627108,557926,280946,-1,682381,371912,-1,-1,-1,-1,967191,-1,-1,228576,-1,-1,-1,904247,-1,949236,-1,-1,350669,-1,-1,-1,-1,299,-1,233942,-1,-1,101372,-1,136029,-1,-1,851473,-1,-1,-1,-1,867400,-1,-1,-1,-1,406051,674002,930376,-1,154205,950690,168612,-1,979086,-1,697629,574710,-1,-1,-1,619581,-1,470137,397391,-1,-1,-1,-1,-1,787481,230395,-1,997552,362163,58272,-1,290106,621418,-1,-1,506554,529649,406747,-1,-1,-1,155126,562876,-1,352117,213506,-1,521696,285005,246810,120554,810833,-1,-1,427664,828333,48114,414240,783202,-1,-1,45844,771471,-1,514264,-1,125474,-1,-1,-1,65371,-1,-1,661003,-1,109585,-1,-1,962186,-1,85904,473572,387852,-1,-1,-1,273298,-1,-1,206778,285726,684905,-1,-1,254495,979303,675519,320163,987959,907589,159641,-1,806860,403595,545792,980268,179822,71894,-1,-1,899862,710311,-1,286243,218624,248400,-1,-1,-1,238604,-1,-1,-1,-1,-1,735543,-1,245752,-1,635386,-1,-1,409198,-1,-1,784440,-1,-1,-1,-1,185067,786571,-1,-1,-1,-1,-1,151470,289763,-1,525886,-1,332001,-1,-1,703184,311774,2964,-1,-1,-1,-1,822805,-1,177633,-1,-1,289656,-1,-1,-1,25228,-1,751519,-1,-1,563280,-1,-1,-1,982748,856800,-1,341522,-1,-1,-1,-1,-1,206569,-1,405357,801488,-1,434164,-1,894421,344211,-1,-1,-1,148385,274159,-1,471280,781634,-1,586614,-1,-1,779362,-1,-1,228438,-1,-1,-1,11905,-1,457757,342782,179029,663406,-1,397180,-1,-1,-1,-1,265928,654236,-1,465936,-1,-1,-1,-1,-1,706960,-1,-1,-1,-1,-1,312474,-1,688665,198838,41475,-1,-1,-1,-1,17948,-1,-1,919826,549811,328455,139025,89852,551853,875719,65740,310377,670277,283015,432168,327280,-1,385967,-1,198965,132389,862003,572862,-1,371374,-1,-1,-1,-1,154619,-1,-1,468905,-1,-1,902231,412120,111108,199155,982115,-1,-1,-1,842342,500047,-1,677652,886736,532940,14492,-1,-1,-1,397624,-1,39830,904775,-1,-1,-1,-1,899220,741548,494416,-1,428704,-1,97416,478231,766943,157455,-1,-1,-1,-1,979883,77540,-1,-1,65935,155211,983759,-1,167253,641090,366743,956401,665604,-1,-1,-1,437446,-1,233627,324596,608794,919141,453430,304198,252906,-1,343582,198831,-1,-1,-1,916171,-1,536624,141193,496232,-1,-1,-1,74060,480871,-1,906103,-1,-1,989437,-1,-1,577074,-1,636466,411489,749336,730433,348767,-1,-1,-1,508633,-1,362029,-1,-1,-1,-1,655944,610146,-1,-1,-1,-1,-1,-1,387677,-1,107922,-1,-1,-1,-1,416879,4663,-1,328218,865101,-1,541878,182069,-1,637820,-1,-1,720247,756365,-1,685355,-1,-1,-1,162186,926218,-1,-1,-1,296889,-1,-1,867291,984564,220469,-1,-1,-1,-1,418563,716729,157741,424615,-1,412097,498442,-1,-1,24634,-1,294624,-1,521809,-1,996332,732096,-1,668239,-1,401053,-1,638428,-1,-1,-1,891114,316795,-1,503567,-1,-1,-1,-1,292370,-1,-1,-1,604050,207502,-1,-1,-1,257230,-1,-1,950784,-1,455917,-1,668455,-1,480769,118068,583447,-1,358027,-1,435478,-1,-1,840257,-1,-1,-1,-1,-1,-1,-1,151670,-1,334058,-1,-1,-1,-1,-1,-1,-1,-1,327019,-1,-1,396125,-1,470572,954040,788026,-1,-1,133508,-1,-1,704668,915167,-1,881284,812791,-1,644515,224769,307643,197875,167511,243075,868021,-1,233102,532676,137045,665187,-1,-1,-1,-1,-1,239053,50528,291053,-1,628122,35712,-1,-1,-1,-1,660329,-1,-1,-1,-1,655601,-1,-1,929551,764645,-1,124364,-1,640930,-1,-1,608258,-1,94713,-1,-1,784894,-1,-1,980828,-1,-1,-1,-1,-1,528596,219742,-1,-1,-1,-1,-1,325020,61831,-1,687959,-1,13473,-1,105024,-1,-1,-1,-1,145043,-1,299416,-1,-1,991801,-1,-1,-1,-1,872049,-1,103167,159171,1106,141851,-1,-1,-1,-1,-1,958897,-1,-1,-1,102136,-1,722837,621946,557459,-1,-1,-1,-1,218119,-1,-1,694603,-1,-1,935938,365997,-1,-1,910101,305168,961520,-1,955024,-1,-1,68096,684368,420197,-1,36831,-1,-1,45600,495053,-1,-1,738091,-1,-1,197153,500946,974407,-1,-1,550324,454187,451423,-1,-1,-1,404424,-1,-1,616975,-1,457949,165954,25533,-1,-1,17496,54101,908432,-1,771628,890170,679576,381213,-1,-1,-1,-1,-1,487042,393701,866762,689617,613257,634216,555565,250031,-1,141477,703838,260111,-1,860036,114479,279603,50518,-1,109307,624855,-1,-1,302974,989723,-1,-1,728473,-1,986364,613626,396478,-1,117869,-1,971365,477381,-1,889252,811233,594491,273848,356498,950547,387854,987027,81424,-1,373257,358533,-1,-1,-1,-1,-1,344213,-1,-1,-1,-1,681239,492190,-1,-1,-1,138088,-1,-1,-1,-1,750523,852246,-1,-1,242110,-1,567382,-1,-1,179617,902638,103537,-1,206926,830544,-1,-1,604896,-1,190689,124574,-1,-1,-1,-1,14831,410536,-1,404036,788443,956646,-1,-1,660360,619983,-1,-1,-1,674149,-1,230881,551994,-1,-1,-1,-1,699123,225558,620285,-1,698003,39251,501001,-1,-1,-1,794496,462269,466457,523893,-1,671869,254596,108204,-1,989255,950908,-1,755992,-1,930957,111237,-1,356143,21308,628361,909101,-1,-1,-1,121666,-1,349705,-1,-1,-1,514736,-1,-1,816941,-1,359415,-1,628734,77421,317668,580190,449767,359264,-1,894377,155872,-1,107115,-1,-1,246709,318076,880136,-1,317336,162128,-1,-1,-1,-1,-1,-1,266941,258882,215723,937041,644285,-1,-1,283111,65495,-1,-1,-1,-1,24897,681271,-1,238891,304774,915746,883659,-1,-1,-1,-1,-1,-1,656854,669276,-1,240584,-1,472791,-1,-1,-1,-1,-1,-1,-1,611903,-1,-1,476973,756702,-1,-1,-1,518611,938738,485893,694957,444063,229945,802780,-1,64218,-1,455057,810050,-1,-1,-1,965625,-1,-1,502530,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,133364,94921,657742,-1,362779,647294,651159,781726,-1,794704,566808,857325,-1,58181,-1,343885,-1,869824,955676,492858,-1,382101,354338,722624,-1,-1,-1,858812,-1,927815,-1,729967,204022,-1,-1,-1,-1,257097,-1,574252,-1,-1,-1,-1,-1,462407,107535,-1,-1,291864,-1,-1,256108,-1,630702,-1,-1,160396,-1,817976,-1,359084,455540,-1,-1,-1,35609,885472,-1,-1,603556,227096,274442,997461,-1,431113,397268,-1,-1,-1,37260,-1,-1,112856,55356,949435,-1,-1,168221,117796,422006,-1,-1,271501,154443,590862,420829,-1,654098,240860,-1,-1,738386,-1,-1,-1,867142,140595,-1,-1,-1,658974,480661,235970,680372,626620,-1,-1,419997,798577,-1,648701,803781,770343,-1,214000,440243,511660,456482,-1,-1,951155,-1,-1,509164,831104,573574,-1,729818,598366,-1,-1,-1,-1,-1,156708,215884,429553,-1,-1,266246,368346,-1,-1,728733,-1,846540,-1,529433,561246,-1,644628,348606,-1,113027,-1,50453,717676,-1,359340,958890,447284,68654,524499,397780,537847,538701,334018,-1,-1,-1,-1,555351,29601,903435,-1,157287,703671,264305,297488,413166,993991,-1,594754,-1,214758,-1,-1,809333,339421,-1,-1,686056,-1,286202,-1,-1,777393,78782,-1,924571,153747,881567,-1,114393,-1,56616,81692,93306,-1,644565,-1,367305,-1,-1,977757,-1,-1,-1,-1,191150,-1,-1,16633,866709,-1,543502,783761,642763,-1,-1,-1,490044,236169,-1,597624,133247,183525,913757,954010,-1,-1,697360,-1,-1,857455,-1,-1,666526,-1,867342,535494,-1,-1,-1,263424,-1,930007,-1,-1,-1,371822,153540,-1,-1,770587,-1,562038,967962,861303,-1,529908,34518,252100,-1,313915,831865,-1,873371,864619,-1,132038,874602,-1,947292,-1,214674,102218,10566,628604,-1,-1,-1,-1,-1,7125,234525,-1,-1,604606,813032,920391,-1,653723,881032,-1,98951,420035,-1,-1,-1,-1,820657,-1,270439,-1,-1,761567,-1,928507,-1,232620,462537,-1,-1,850333,-1,-1,316540,-1,-1,712719,-1,-1,116976,911768,-1,-1,151280,416591,-1,172392,614869,-1,-1,690160,-1,706764,325330,191870,144102,-1,-1,-1,-1,202979,-1,-1,-1,302351,115578,-1,-1,-1,241123,-1,-1,-1,704129,655826,-1,25895,724846,-1,-1,280639,-1,801615,-1,-1,523311,-1,-1,-1,-1,993886,-1,172881,-1,-1,90136,18174,653268,-1,183840,120348,991047,-1,-1,783320,-1,931158,425703,-1,-1,174755,980420,987654,-1,-1,-1,667560,496225,-1,964007,-1,12030,-1,703130,-1,-1,-1,-1,622754,141355,495888,862763,853636,556746,-1,135921,-1,-1,-1,402297,489856,485773,-1,-1,421248,-1,-1,-1,-1,393223,715058,-1,-1,-1,87600,176044,347013,-1,-1,-1,-1,296904,-1,-1,15234,194846,-1,467331,664409,-1,969296,76499,-1,-1,-1,-1,589306,-1,347482,94795,-1,-1,-1,35316,-1,-1,44595,-1,-1,413974,963308,855318,-1,759006,410552,957138,416601,762076,510853,646691,326925,-1,653370,833099,-1,-1,518881,58859,-1,-1,-1,-1,-1,-1,888150,747071,-1,398169,390518,971042,116859,-1,767815,749096,518542,896944,415375,-1,177549,17989,82496,199761,-1,-1,940183,-1,-1,-1,-1,-1,958159,-1,102440,64453,567865,-1,-1,-1,-1,-1,-1,936419,912026,398141,-1,589926,-1,550647,555971,443395,24967,-1,-1,-1,-1,-1,-1,-1,-1,-1,321484,-1,7312,-1,555100,-1,761815,567736,-1,-1,133017,285699,-1,-1,596306,506574,504176,-1,-1,429159,649749,-1,-1,332301,978264,603284,25691,-1,730385,-1,-1,-1,537840,425307,-1,-1,640854,183599,-1,920286,351595,-1,714008,793584,-1,997809,634790,852959,35823,-1,-1,791222,-1,-1,972125,903907,-1,813440,-1,-1,973101,952229,-1,-1,-1,916148,-1,104580,-1,819144,101133,-1,-1,-1,562281,-1,540238,-1,389178,866553,405189,479520,243752,605645,-1,72503,-1,224199,938277,727018,9650,-1,281662,-1,57477,-1,200615,-1,-1,-1,346677,63646,-1,71617,904043,-1,-1,-1,-1,482862,505334,-1,-1,925194,-1,272616,-1,100533,-1,-1,865783,82381,484199,-1,-1,829294,478327,-1,-1,227627,820163,-1,270950,-1,951204,-1,-1,71380,889018,216284,-1,-1,-1,-1,663630,969877,968308,-1,-1,946398,262215,-1,482964,647886,-1,-1,15415,456211,-1,-1,160706,400704,967084,479310,-1,-1,-1,-1,319914,-1,-1,-1,-1,549526,803840,-1,-1,-1,741883,-1,-1,-1,132392,545986,83742,965863,-1,543107,-1,-1,591618,-1,733097,-1,964213,881052,29789,828982,872965,-1,-1,-1,-1,237403,139998,147471,-1,406965,976793,493806,128911,-1,-1,201370,-1,464729,-1,952098,270347,-1,674460,-1,782082,-1,-1,745352,-1,-1,568864,-1,-1,109253,457627,-1,854653,224917,-1,-1,294000,-1,999440,366529,-1,529146,804820,-1,-1,610295,-1,-1,-1,102566,5983,115321,-1,-1,545380,854253,-1,-1,-1,415079,-1,-1,-1,-1,354647,979261,-1,-1,710499,-1,-1,251604,439879,-1,-1,960591,279785,-1,763866,-1,939662,15970,150164,151005,-1,-1,129234,519720,414333,-1,-1,573665,103037,451584,620435,-1,-1,286125,280260,103828,-1,424407,420982,901386,-1,975490,305531,844773,-1,-1,-1,-1,-1,848295,799224,-1,-1,410686,-1,942726,32991,-1,-1,476679,-1,-1,927536,737950,445071,677402,-1,-1,65215,-1,-1,337517,171445,-1,-1,914562,-1,681952,-1,-1,-1,-1,472189,593306,-1,712257,692896,941262,-1,138987,-1,23896,299576,-1,279793,420660,-1,-1,756722,-1,594432,-1,940556,129740,364083,505686,-1,-1,854793,191699,383816,979174,-1,818885,-1,609452,389894,104540,-1,510536,881835,767972,-1,366161,-1,-1,-1,-1,-1,-1,511835,-1,-1,-1,-1,-1,638986,-1,-1,742860,-1,531580,-1,-1,260657,-1,529081,-1,-1,939714,149152,88483,743402,-1,170116,-1,452417,615755,292404,-1,-1,359338,-1,-1,-1,-1,-1,-1,544154,594136,-1,14367,106677,348481,184742,-1,596940,-1,-1,949958,84020,46179,-1,853382,516372,211274,-1,-1,342756,520385,485588,-1,634296,900500,928831,211277,793666,612096,390491,796870,500302,-1,-1,-1,622285,-1,351724,85645,-1,991358,443975,382992,-1,222173,-1,607396,-1,-1,598837,61104,810052,525015,-1,892358,-1,-1,82701,221469,-1,-1,-1,248321,736402,-1,-1,792407,-1,210679,368028,-1,886912,321467,-1,867561,-1,718779,-1,740485,412249,-1,-1,369610,967774,-1,-1,-1,190760,430652,-1,194096,974434,-1,-1,-1,569804,-1,-1,-1,-1,791449,688806,886934,22601,-1,-1,74969,277616,-1,941595,675081,-1,-1,-1,-1,-1,-1,-1,478559,614836,576850,733062,-1,421660,-1,216141,-1,-1,-1,222725,602263,-1,-1,523966,-1,6388,629297,812093,-1,-1,925796,-1,-1,-1,-1,-1,-1,347737,565699,142628,-1,554306,-1,376703,708250,-1,-1,-1,-1,330714,-1,-1,460649,438004,298652,398624,-1,-1,692260,802645,-1,843346,-1,-1,-1,980450,-1,845870,667597,-1,651761,-1,-1,639327,254329,-1,-1,34487,142336,-1,-1,905522,936546,-1,-1,193296,805269,210365,327649,994407,424172,-1,-1,667873,-1,-1,-1,807761,201066,-1,138982,271827,-1,535289,686298,156597,962299,265224,541244,-1,-1,-1,-1,881188,791147,-1,-1,710734,-1,-1,606788,61431,618728,-1,-1,17982,781083,448892,424340,248747,200338,-1,79083,676054,-1,-1,493790,-1,702867,-1,-1,201529,270070,891129,398296,691666,-1,-1,902527,792565,381796,-1,-1,-1,-1,-1,-1,304448,4414,566249,237999,140029,-1,-1,-1,-1,425506,391168,-1,640693,-1,-1,96473,1695,-1,667865,-1,-1,231021,97518,-1,503220,671333,-1,894387,680707,114069,-1,860253,-1,-1,102522,2318,-1,-1,253953,442412,-1,-1,167821,951309,-1,-1,912720,719243,193617,671207,424471,-1,741910,520776,689306,32157,961432,769813,-1,-1,-1,-1,941020,443805,-1,-1,766536,-1,255422,404978,505502,-1,430400,772061,-1,392796,-1,511041,-1,436266,-1,88892,55014,-1,-1,-1,729599,306464,-1,346470,781822,-1,815313,554392,756980,166355,211529,647470,-1,-1,839309,-1,-1,492619,230794,-1,794873,658979,-1,-1,-1,-1,-1,-1,-1,-1,224926,724517,-1,-1,-1,-1,960306,-1,56791,-1,533833,144205,-1,-1,814267,-1,-1,440717,279544,17499,773973,459898,394478,-1,-1,644202,-1,-1,871926,245251,-1,721082,-1,677310,349004,803433,627296,62543,-1,-1,458608,596820,-1,-1,825185,25504,-1,726835,549504,-1,-1,-1,-1,374008,-1,34244,-1,925573,719454,298626,-1,-1,-1,-1,-1,-1,-1,-1,707585,100401,37546,-1,222643,197044,421483,415307,-1,573815,-1,-1,93716,30107,572383,-1,619903,813468,416038,-1,-1,317201,-1,-1,-1,640608,-1,364536,317074,874200,548925,466429,982715,-1,59372,-1,219026,-1,-1,9613,-1,854195,-1,173538,-1,-1,478444,871299,682507,39674,532606,-1,-1,-1,-1,-1,224830,237320,-1,-1,858423,505965,-1,649778,-1,-1,595491,569972,618535,-1,172349,-1,867067,-1,-1,252128,956580,501040,-1,683893,389651,7225,-1,-1,-1,485637,-1,-1,-1,-1,774319,840064,419162,-1,305495,405378,818188,-1,-1,100142,-1,400885,401273,874224,-1,7123,-1,547767,-1,74865,242236,78868,-1,673082,-1,-1,123071,36434,-1,601442,184952,498958,-1,183937,-1,124833,403065,-1,-1,-1,968736,-1,-1,965539,577014,497561,638885,-1,-1,-1,-1,-1,226763,-1,-1,476900,-1,-1,629034,352196,-1,7721,-1,-1,-1,847351,-1,-1,971621,611160,54730,202949,-1,-1,-1,907849,-1,-1,-1,263892,-1,-1,-1,685571,-1,-1,-1,25286,354764,977486,973795,-1,-1,78703,439234,10181,653605,-1,-1,937877,442556,-1,-1,-1,-1,-1,873423,765817,-1,-1,17213,-1,-1,-1,-1,-1,-1,-1,974718,230990,112691,-1,-1,880288,-1,-1,-1,-1,26326,-1,701707,-1,151223,-1,519939,303121,-1,-1,-1,-1,-1,223479,-1,-1,325902,936441,544230,742102,19098,329806,676936,119353,323492,-1,-1,-1,238137,121879,-1,978910,-1,-1,52909,593126,719841,-1,165822,305374,437625,-1,-1,-1,801415,-1,984586,659718,312139,-1,499111,374324,-1,426875,384777,828172,-1,-1,864924,671205,-1,-1,221988,161422,950271,-1,-1,-1,-1,141805,228173,-1,-1,651854,488883,24925,574163,412606,-1,-1,-1,281627,-1,-1,-1,-1,-1,72126,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,873025,-1,-1,557905,-1,548394,-1,611169,-1,-1,99132,976765,-1,561374,-1,-1,-1,-1,810021,923736,245953,-1,-1,631685,421342,966635,787582,-1,-1,-1,321880,558517,-1,252548,-1,-1,-1,736999,-1,-1,-1,389492,-1,522119,996462,-1,-1,872207,-1,812313,897064,-1,431517,-1,268118,-1,-1,294384,-1,-1,438087,-1,-1,557727,875265,604393,-1,673760,-1,-1,888123,144779,-1,-1,863218,-1,270654,891848,-1,212517,503256,-1,194823,217039,74035,722549,209482,257061,189343,321335,970854,-1,824646,676065,-1,346045,639204,-1,684382,552990,390636,269868,874990,-1,-1,-1,558991,109466,-1,619229,650045,-1,-1,-1,483474,397911,-1,462543,249865,35032,-1,-1,978561,-1,-1,710445,-1,785131,-1,649644,-1,500894,-1,525127,42525,-1,-1,824343,576432,863703,151967,-1,858478,-1,-1,750950,166218,777805,-1,199045,491223,407119,660207,-1,-1,940738,-1,-1,-1,164919,19862,-1,556609,593482,-1,154877,-1,167578,466748,-1,427655,-1,-1,-1,414652,-1,-1,933539,746788,250287,-1,879539,-1,-1,332374,375190,579357,-1,188638,558377,231684,176360,-1,-1,-1,127000,-1,337570,-1,1206,-1,684408,17313,5588,-1,-1,-1,594939,827021,-1,211977,124873,-1,-1,95441,718728,647327,109866,-1,-1,894258,177896,-1,-1,-1,-1,629692,-1,368397,686237,236796,-1,633753,-1,768522,-1,842967,-1,-1,432493,-1,-1,140325,-1,-1,-1,354962,869733,853237,830920,-1,-1,619472,-1,-1,637656,632829,-1,-1,-1,-1,-1,-1,161530,7709,-1,-1,116892,412224,-1,211245,600479,509378,-1,734979,-1,-1,-1,666322,461813,-1,-1,-1,-1,-1,203043,251687,256949,-1,728024,-1,796930,-1,-1,909329,-1,63317,-1,-1,444883,398938,51933,841318,-1,-1,-1,974019,-1,305471,829211,100271,-1,-1,93946,-1,901241,564446,702439,744525,197280,726071,-1,478035,929690,-1,-1,770156,-1,254503,-1,-1,-1,892057,-1,-1,76773,-1,807905,-1,89213,-1,-1,-1,642403,-1,-1,-1,-1,535668,645760,727365,627988,993793,671195,-1,-1,564247,142708,563712,638520,465976,211675,-1,-1,46364,27547,320450,818782,669344,-1,-1,-1,307803,-1,456025,-1,-1,288353,618646,357961,-1,991423,-1,48650,399078,-1,649346,-1,346129,-1,444957,388997,-1,-1,203961,-1,60604,-1,-1,-1,-1,376261,-1,-1,615960,-1,471463,210455,904525,603301,171271,543272,-1,-1,-1,9521,569844,-1,293194,-1,934130,772535,-1,442589,-1,180634,33719,382779,-1,817177,586325,764464,-1,921877,-1,255383,-1,822502,-1,-1,28909,-1,-1,-1,-1,-1,383850,906685,-1,340792,-1,474991,-1,249636,-1,396764,-1,733823,790662,-1,920172,-1,-1,509507,256451,-1,-1,-1,252481,525119,-1,-1,-1,-1,-1,-1,-1,576537,994844,-1,195473,24177,-1,-1,-1,-1,-1,343305,439464,-1,-1,25638,768633,-1,697263,374497,355636,305496,871953,374320,-1,-1,-1,15620,571452,393384,-1,-1,920944,-1,728477,-1,306096,-1,-1,572159,916615,716222,-1,440908,-1,-1,979884,-1,485303,473765,-1,393077,533484,6549,262568,-1,-1,63423,-1,-1,279255,-1,-1,-1,249621,-1,-1,186154,-1,52353,80501,-1,-1,186271,-1,207588,-1,134555,420514,-1,-1,894691,-1,-1,-1,218121,239665,-1,-1,-1,-1,-1,769600,-1,-1,-1,-1,766800,609271,49965,-1,-1,299550,-1,-1,-1,144514,-1,-1,490750,449213,626803,-1,972422,-1,-1,182564,922370,45462,-1,998753,-1,568350,-1,-1,-1,942021,124386,532772,-1,-1,256879,-1,-1,-1,190610,840521,88214,874751,290478,-1,-1,-1,-1,144856,-1,-1,178112,-1,822299,-1,-1,458963,991624,706964,495211,-1,-1,489531,-1,180700,-1,338544,-1,-1,483324,-1,883233,-1,-1,-1,-1,178925,-1,808481,129551,562234,-1,967028,967599,-1,962362,848131,-1,806720,-1,197998,-1,-1,-1,951912,894087,976288,968401,381963,756690,-1,-1,489606,684421,207549,-1,17320,448773,49626,-1,265118,32326,864626,853619,-1,-1,-1,249079,-1,-1,-1,-1,152693,315703,-1,-1,957635,-1,-1,-1,883629,-1,-1,830120,668896,-1,292442,-1,160968,-1,-1,-1,99833,-1,-1,641013,96326,-1,-1,-1,661717,667226,-1,584767,257297,284969,-1,-1,835000,975263,-1,225953,167291,424693,93151,-1,857214,-1,-1,298901,-1,767857,807442,-1,-1,205613,-1,946224,501327,740342,306401,-1,-1,502760,327652,-1,-1,952919,-1,466027,921835,27937,189561,-1,129639,-1,-1,-1,-1,-1,995905,-1,-1,38868,-1,-1,-1,703591,-1,-1,-1,659186,-1,933091,914228,220049,-1,966994,-1,67377,3472,-1,-1,194711,-1,500846,-1,804917,-1,190572,768241,775809,-1,-1,-1,725527,-1,426659,-1,495175,690799,-1,-1,589889,142442,-1,721992,445926,759141,-1,37531,364623,-1,-1,859610,-1,-1,-1,290360,-1,-1,551188,-1,80018,355654,953857,147023,-1,-1,-1,-1,294512,969114,847063,-1,176268,-1,-1,-1,-1,745378,-1,856157,111827,988882,-1,66577,269164,-1,517792,395775,285663,-1,-1,-1,210133,-1,166608,-1,39852,564106,-1,516807,439495,233332,-1,-1,-1,500250,804013,182676,372833,-1,-1,796999,744780,-1,774698,-1,-1,221318,376784,-1,375401,226941,409367,120128,-1,-1,717989,166547,271568,-1,-1,694437,767768,613684,769345,-1,-1,907891,-1,307474,574175,-1,-1,-1,-1,955721,-1,-1,-1,224459,-1,506946,-1,-1,-1,-1,622356,-1,102689,979744,420707,-1,-1,-1,-1,-1,-1,-1,487591,-1,-1,-1,951372,-1,536629,210056,-1,-1,43732,-1,-1,837480,-1,-1,-1,-1,461704,625188,-1,457559,405077,-1,45738,348282,-1,958087,-1,988847,85580,-1,484873,-1,20626,-1,-1,869532,864288,-1,36867,353120,474833,-1,-1,-1,145000,-1,-1,-1,560963,795659,-1,-1,229107,768948,-1,-1,718545,240416,201298,172448,-1,141462,-1,-1,-1,117726,817706,-1,-1,508497,-1,348597,52756,91936,513563,909408,-1,-1,-1,669303,-1,-1,962175,-1,-1,84811,483157,-1,-1,-1,340924,844881,450998,956470,-1,-1,699262,531953,-1,957443,560069,606057,-1,29242,-1,-1,66553,-1,896417,-1,-1,33199,-1,-1,706728,803203,-1,-1,347606,-1,-1,155233,611051,-1,-1,-1,-1,199066,690090,159221,-1,416009,86552,-1,-1,206249,-1,861254,679374,-1,459862,-1,312631,640209,294222,-1,-1,-1,-1,146810,168046,-1,-1,-1,-1,104028,-1,-1,923794,-1,355653,671617,819463,167435,-1,363664,709471,777451,-1,-1,442658,-1,-1,837782,395948,-1,-1,-1,899824,-1,644084,283547,-1,213352,726429,917525,-1,939375,714422,-1,-1,503623,160429,806662,-1,558339,377014,-1,617715,619629,784494,202030,-1,165877,676855,287067,815466,599233,-1,51890,713350,-1,-1,966193,66982,759927,907052,49766,620511,803553,306936,592011,266427,126739,-1,787950,645524,-1,-1,-1,-1,961299,-1,-1,362282,-1,-1,-1,-1,-1,-1,42771,-1,-1,-1,241281,86222,-1,-1,960879,609629,-1,598018,-1,10802,430626,-1,633586,-1,692149,516662,-1,288929,-1,699264,-1,-1,592462,-1,209909,-1,586984,-1,22571,151840,736677,-1,-1,614582,-1,729640,915682,-1,-1,64589,-1,974657,33593,-1,-1,-1,875984,-1,595288,-1,746098,-1,670243,-1,-1,855109,-1,817420,745412,-1,-1,-1,766167,-1,921530,424630,-1,-1,-1,-1,-1,851102,-1,-1,-1,-1,-1,205561,-1,328601,-1,-1,-1,-1,-1,-1,288150,-1,327832,202174,-1,419931,280445,913304,-1,709354,-1,437392,-1,668075,-1,20129,-1,-1,-1,321923,-1,-1,-1,-1,632634,-1,-1,250784,-1,67072,852618,-1,219139,856789,-1,227477,611508,-1,1457,-1,160699,12868,-1,-1,-1,639231,160106,14408,-1,-1,48211,535918,-1,246699,-1,-1,975277,553572,-1,-1,-1,-1,310255,-1,-1,533954,-1,-1,647815,-1,357444,157577,773016,-1,-1,-1,-1,-1,465115,747066,-1,-1,258565,-1,-1,-1,-1,-1,-1,257667,473393,303370,748109,566539,342597,-1,-1,-1,866116,-1,-1,-1,262732,162699,-1,-1,-1,211514,302516,-1,642056,-1,-1,411988,323161,143420,108649,703185,695360,-1,-1,298396,-1,-1,133133,-1,-1,-1,622719,-1,-1,-1,-1,-1,595190,606611,-1,-1,628862,-1,-1,24681,618516,-1,47853,884577,-1,521150,792219,781177,-1,-1,-1,400486,-1,-1,324312,-1,651052,732308,-1,822552,-1,269781,336171,846444,956276,-1,505142,8426,139320,-1,-1,-1,-1,362561,-1,-1,490869,22366,-1,-1,-1,-1,519171,473395,905506,-1,564125,-1,-1,682690,71371,-1,-1,471129,307390,-1,-1,-1,-1,820523,493109,103791,307062,583846,720533,-1,228155,908631,543509,-1,-1,890617,477117,89023,-1,447013,724683,-1,105897,-1,898928,-1,-1,4764,-1,-1,-1,-1,-1,188705,-1,232436,-1,208737,829364,-1,341464,-1,-1,-1,186067,437847,719152,133328,-1,-1,-1,-1,125341,-1,915438,-1,-1,843999,-1,844264,20436,-1,5231,490013,526428,840991,-1,710023,-1,158163,643154,-1,218972,48957,37633,648478,-1,-1,376019,673833,-1,-1,694429,204640,754207,480432,-1,79572,389866,-1,163070,971218,-1,-1,818471,159464,13205,389458,-1,105930,591186,784928,-1,-1,110205,-1,-1,-1,-1,240865,-1,-1,918383,163176,-1,703789,-1,-1,-1,265405,-1,895930,722042,756507,-1,82161,-1,326285,-1,598410,494791,52806,518936,-1,937081,-1,-1,-1,966833,-1,-1,193550,115085,381906,343859,-1,314528,-1,-1,607342,294482,-1,688227,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,759649,740011,-1,-1,-1,289227,914986,77279,972074,801781,153026,781305,686982,318033,-1,160060,-1,817273,453311,-1,-1,-1,463177,130737,-1,582746,-1,906267,249992,-1,-1,-1,224957,983456,-1,-1,935117,318894,-1,817893,-1,-1,751841,-1,-1,174082,-1,90571,-1,524394,-1,513383,761888,488142,317388,-1,19164,-1,-1,634971,519596,408094,-1,-1,-1,-1,-1,945818,399253,-1,-1,932913,-1,466052,-1,234028,929827,644332,486913,858720,-1,-1,-1,-1,-1,864175,-1,297332,264640,596092,-1,-1,-1,-1,639160,-1,-1,280087,668579,619350,407350,376497,226492,219372,-1,-1,-1,887654,-1,551525,-1,988832,972631,918755,854483,-1,574471,703367,-1,-1,431178,-1,-1,-1,-1,577549,992022,-1,-1,925398,222066,-1,758596,96446,-1,584166,-1,-1,-1,-1,-1,353440,-1,-1,-1,-1,191684,-1,-1,457073,355729,899637,453337,959694,198734,-1,102149,273318,-1,371961,20595,38941,100941,99127,-1,14485,208778,-1,-1,368229,16784,-1,-1,435838,-1,-1,-1,-1,919547,878306,199540,460275,-1,202256,-1,793610,-1,81391,-1,-1,457351,966888,-1,616238,-1,922543,-1,594210,359802,663117,-1,547514,202025,575351,760355,-1,174557,923362,-1,-1,856815,574869,-1,-1,-1,-1,-1,-1,-1,-1,476687,-1,28976,312111,461595,-1,194040,-1,-1,937042,334648,845590,953038,-1,-1,881380,-1,-1,293344,367694,-1,-1,196949,550074,705915,-1,418565,888424,3203,-1,-1,27623,-1,-1,-1,-1,-1,880205,21976,812812,335222,-1,-1,588923,-1,-1,152788,-1,469353,840744,-1,-1,14480,663805,717719,-1,832836,-1,327063,876351,150549,-1,287371,-1,374256,-1,-1,916497,-1,-1,349886,658687,58981,-1,-1,-1,197235,237672,-1,86940,-1,732444,409465,-1,-1,649574,192558,-1,61089,-1,620389,-1,552458,306983,-1,898898,-1,828092,-1,-1,-1,-1,375144,-1,-1,-1,-1,13334,-1,23090,302174,-1,-1,-1,-1,643745,-1,-1,696231,-1,-1,212813,-1,-1,-1,875275,-1,623209,757798,-1,-1,-1,631790,269484,-1,442201,-1,-1,597536,-1,-1,320235,503172,-1,-1,215084,-1,785419,158693,-1,-1,506910,348369,-1,289339,487701,-1,-1,-1,-1,714428,-1,532305,-1,-1,82842,134775,-1,-1,-1,749189,137006,-1,-1,-1,-1,361,591448,492835,38082,-1,984839,-1,393786,135435,-1,-1,57160,-1,-1,-1,580987,-1,708379,-1,-1,338393,-1,-1,765984,270529,94733,232686,-1,292903,-1,-1,673019,-1,-1,152015,-1,-1,896334,563585,-1,888621,929447,-1,325039,388855,606337,278115,-1,908749,699191,-1,361342,-1,636383,-1,-1,-1,-1,681492,959402,-1,278947,11664,-1,383357,763637,-1,437349,385720,-1,-1,-1,-1,322567,141201,399325,-1,855811,-1,-1,-1,-1,-1,-1,782208,-1,36917,-1,-1,138560,-1,417136,283341,652022,990560,102119,-1,-1,626395,-1,-1,86102,561381,587337,-1,-1,-1,255236,-1,157139,705777,388770,467214,-1,-1,821498,724885,-1,-1,331415,-1,258637,-1,4053,-1,-1,-1,-1,132843,665601,252880,263268,-1,-1,-1,-1,940376,-1,-1,488644,-1,841384,620788,-1,955101,39092,-1,592326,-1,52312,691022,291997,563525,-1,591098,-1,-1,419291,-1,595793,-1,835581,-1,-1,-1,90026,623819,-1,712474,-1,-1,207035,197778,896196,854000,-1,964895,-1,-1,971674,-1,845344,455273,404653,957441,698030,308567,-1,320695,667360,-1,50983,234368,-1,202551,809748,-1,-1,-1,39975,-1,-1,-1,758856,-1,-1,503067,-1,-1,548670,601252,689430,-1,46711,-1,-1,-1,-1,191569,-1,-1,617217,446012,-1,157299,-1,467942,-1,996014,-1,878897,229435,744300,-1,934071,-1,-1,-1,746233,-1,472913,184004,-1,-1,34401,-1,495183,-1,725855,155859,444422,405526,-1,778468,-1,-1,835498,654740,707140,-1,380134,33547,356980,613934,353799,-1,-1,531345,-1,886677,-1,366885,-1,-1,872233,256777,-1,-1,444333,359012,-1,751538,-1,-1,-1,-1,652068,-1,-1,295523,-1,504593,-1,928487,-1,329758,-1,449408,-1,-1,319741,-1,-1,813601,248420,-1,647581,160637,-1,-1,533281,-1,-1,-1,-1,-1,274843,-1,462889,371696,-1,-1,-1,-1,705499,-1,-1,830321,-1,846914,118928,581902,895,666681,-1,-1,-1,96927,520082,214704,-1,109962,454942,269739,-1,-1,437645,213802,-1,-1,311195,285452,550541,-1,-1,-1,691872,-1,22163,592591,-1,-1,-1,-1,-1,899730,-1,-1,869690,-1,406270,-1,-1,878414,-1,-1,-1,-1,734469,217273,190629,-1,258940,126033,171813,-1,435599,-1,735618,-1,-1,76727,425730,-1,-1,186325,371935,223772,357430,-1,-1,910041,-1,749961,-1,653869,889266,960931,-1,967524,-1,332066,730880,-1,477473,-1,-1,-1,-1,-1,-1,431356,946916,22878,734944,-1,843544,412813,29399,-1,71907,823379,-1,695396,-1,-1,-1,-1,455520,-1,-1,778615,869781,-1,831538,558811,-1,347624,-1,710392,18645,103327,807780,257947,402268,-1,-1,260933,-1,760706,951403,-1,-1,-1,-1,598397,188356,911194,193281,-1,11438,-1,-1,-1,-1,970916,6097,314866,87984,-1,-1,779410,-1,182503,194727,-1,983,-1,236051,-1,990157,-1,-1,-1,273464,-1,-1,838799,-1,-1,225289,167176,-1,734279,-1,-1,-1,-1,400043,-1,-1,-1,216155,54450,-1,793892,-1,874546,887204,-1,-1,-1,887570,268601,664062,836003,845973,365915,-1,874321,-1,-1,347551,-1,-1,-1,-1,732055,-1,668321,404117,-1,961770,230405,571445,954142,619281,790586,-1,850484,-1,-1,776561,-1,896295,-1,541614,476581,-1,178476,-1,-1,358324,-1,-1,348657,954148,568248,-1,918087,121,-1,294746,-1,-1,-1,513138,697453,-1,405833,54086,758276,916105,-1,-1,-1,-1,377784,4966,-1,-1,-1,978963,683899,-1,290214,-1,-1,-1,479530,-1,66715,-1,373054,658994,-1,316891,868788,-1,535787,637685,270916,-1,958656,-1,-1,449582,-1,-1,-1,-1,895222,-1,-1,-1,-1,929828,-1,-1,266242,850111,-1,-1,-1,-1,86152,-1,-1,893880,-1,675040,-1,718150,-1,984521,330614,679365,484374,-1,33887,279285,-1,-1,701002,-1,-1,835929,-1,-1,415227,-1,465644,-1,837588,-1,837057,290110,714036,-1,-1,951151,956610,-1,-1,530311,714541,643271,585000,890694,357531,493661,126924,210277,-1,576626,-1,369440,-1,-1,-1,-1,-1,-1,907602,-1,451071,173300,-1,-1,-1,87315,116690,461538,-1,434113,-1,-1,-1,920883,-1,-1,-1,-1,-1,-1,460765,-1,-1,160005,-1,-1,-1,-1,-1,453156,131478,-1,754699,625579,865600,25173,-1,878836,291551,-1,-1,228594,-1,884653,-1,-1,-1,51921,787042,-1,665553,472559,593719,-1,-1,-1,335416,312924,698889,-1,816903,117578,-1,633453,-1,984321,976807,487453,744661,-1,-1,855655,-1,516346,-1,-1,599793,-1,291016,259718,-1,928554,595033,-1,719026,697281,407459,-1,-1,-1,-1,-1,533462,-1,-1,221286,539220,461269,67200,-1,-1,781749,606442,570139,-1,-1,517805,344866,515969,22916,576036,570171,844537,-1,-1,-1,807911,637290,-1,-1,-1,435440,-1,928421,934491,-1,294205,-1,848899,114030,-1,528894,-1,-1,118136,-1,42392,183674,-1,952193,645815,516966,-1,136171,-1,736372,603148,-1,-1,-1,702833,-1,745975,939702,-1,784286,65200,556925,79378,-1,-1,935393,386005,-1,820147,-1,427015,759917,164298,99732,-1,-1,-1,630555,-1,253441,-1,-1,917424,-1,866571,246512,256236,811180,840076,795958,403672,-1,-1,-1,-1,-1,238921,-1,458430,-1,997904,-1,-1,-1,-1,-1,127296,-1,472204,360335,-1,76047,-1,-1,-1,310094,-1,-1,848287,330918,733222,-1,358997,-1,-1,436743,954700,145326,-1,-1,-1,-1,430916,-1,203169,-1,-1,-1,998119,236207,-1,-1,-1,603211,-1,-1,421848,173410,-1,-1,349862,253706,686889,268835,128533,-1,-1,-1,412932,51274,-1,-1,451305,-1,-1,-1,800235,-1,-1,773548,841669,-1,-1,391769,-1,25256,7151,-1,-1,-1,857610,-1,446056,158063,860030,-1,-1,-1,819072,78656,-1,890759,-1,-1,-1,-1,-1,555146,962187,-1,127309,-1,-1,95599,-1,-1,143329,995638,-1,-1,213645,-1,871753,565162,-1,-1,-1,-1,527771,250095,199157,-1,146106,915837,-1,-1,-1,614709,118302,166794,-1,-1,-1,-1,10371,72970,-1,112552,202018,768442,-1,756900,-1,274423,488093,-1,-1,-1,52480,203778,-1,956028,-1,372034,84318,-1,-1,208739,149171,-1,494615,154669,-1,-1,987114,305243,951574,-1,500015,-1,790686,429493,-1,377908,-1,-1,320449,-1,132755,120523,934085,325437,332181,-1,572218,-1,930791,313278,728342,-1,-1,-1,-1,269919,-1,-1,368814,605377,162134,-1,-1,-1,-1,704657,673394,955749,-1,-1,917253,709821,-1,857229,792971,-1,-1,994419,297534,-1,-1,-1,-1,-1,335197,44989,39439,-1,683498,-1,-1,-1,-1,637873,-1,859589,162690,895656,981240,-1,-1,293131,188846,-1,-1,-1,200724,954582,-1,-1,-1,-1,947940,156933,117330,-1,-1,-1,738459,-1,824147,787236,927599,591952,-1,-1,-1,-1,897560,901691,124010,223385,65143,-1,521449,467043,879399,323669,-1,891719,-1,-1,-1,50954,-1,65715,-1,504892,-1,-1,-1,-1,855496,893957,304961,173387,148280,698569,-1,858262,573569,-1,-1,828065,183003,293594,864967,-1,-1,-1,285756,216502,-1,-1,-1,-1,-1,222807,348297,466008,-1,390639,452325,-1,503716,259259,899941,-1,834145,204032,-1,-1,-1,362477,998808,511219,138464,170432,31773,904227,411067,-1,139551,-1,218660,816341,852315,-1,14801,665799,-1,-1,-1,-1,805929,46303,402581,739513,88939,946946,-1,172608,488952,-1,617092,20785,-1,533971,359656,-1,-1,871258,-1,-1,-1,-1,141533,-1,653515,-1,-1,777946,-1,-1,794313,174567,480478,43123,992531,-1,-1,-1,507423,433660,-1,-1,-1,957343,962607,-1,320129,-1,-1,-1,970252,-1,-1,-1,34099,646447,-1,214329,883259,-1,-1,-1,907345,190231,527310,-1,356694,618781,893938,504346,-1,41602,839560,-1,500462,-1,-1,-1,491523,-1,308385,631621,246430,448531,923789,-1,-1,-1,-1,513500,553020,-1,-1,-1,-1,-1,-1,431912,-1,-1,-1,646075,415086,-1,462239,-1,762487,959899,866715,-1,598718,647904,-1,-1,29547,-1,-1,753289,-1,-1,-1,800092,-1,-1,-1,-1,-1,367971,-1,866716,-1,-1,-1,719731,757038,-1,522543,351523,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,953302,-1,243996,155119,424816,-1,-1,-1,548825,-1,-1,-1,-1,-1,481523,-1,216189,185072,964584,214954,465595,733783,444667,429068,3922,38385,684258,74309,91841,-1,-1,944036,253987,-1,347523,594988,-1,-1,-1,553162,328349,186229,-1,564994,-1,-1,4675,339348,458875,-1,622209,-1,755441,613330,881497,267520,-1,469744,-1,-1,-1,-1,-1,821945,411427,-1,61713,703486,-1,262375,-1,-1,999148,-1,834493,204928,-1,-1,214292,889495,-1,-1,829100,-1,937978,-1,-1,509969,-1,928135,826132,-1,174861,212996,927277,8137,496618,-1,-1,-1,-1,17494,754989,579376,275636,328409,98272,969328,358829,217969,970758,-1,-1,892822,-1,-1,521397,599738,-1,-1,208337,-1,231598,-1,343670,95947,503177,-1,-1,-1,769908,-1,34022,864106,966281,64915,402948,490946,-1,-1,-1,-1,894112,783997,-1,645399,507327,-1,-1,950163,543620,-1,-1,19884,-1,41256,626294,-1,-1,571169,559435,468611,949140,90175,-1,223301,-1,535709,876337,297001,-1,809637,-1,-1,546941,235490,-1,-1,-1,450819,-1,980780,-1,-1,-1,-1,-1,-1,621295,-1,842248,-1,41492,263925,450657,-1,-1,259107,-1,-1,-1,-1,686383,993324,-1,275035,-1,-1,170290,750534,230951,-1,-1,969732,-1,-1,36781,734396,-1,894271,186578,-1,931943,-1,138083,-1,151147,-1,408204,944586,948751,-1,880211,509630,635675,-1,356702,551255,-1,-1,975883,-1,-1,-1,778049,220788,283394,-1,913972,248481,-1,760046,626886,-1,-1,37415,-1,-1,-1,525397,871494,517441,-1,46222,-1,-1,-1,-1,789796,-1,252803,-1,-1,-1,150290,149788,-1,-1,-1,-1,656988,-1,-1,-1,-1,-1,-1,150346,-1,560148,-1,611121,-1,-1,-1,-1,744279,754743,786955,-1,-1,593209,498789,846208,-1,115459,208714,154783,-1,-1,508649,895013,471739,-1,411688,-1,-1,808912,463285,-1,-1,-1,138996,641374,-1,264522,723052,531586,1511,-1,157686,418672,-1,500274,-1,-1,851135,-1,780254,-1,951243,781241,210886,731064,-1,944136,-1,105396,-1,-1,-1,-1,953748,831785,56478,-1,-1,-1,892777,-1,263695,-1,-1,384984,-1,-1,604370,420608,-1,998057,-1,714546,257824,810994,329486,298959,-1,942048,197037,-1,74041,196634,-1,-1,406769,-1,-1,694882,-1,-1,418639,-1,-1,662512,-1,980693,-1,303477,-1,830509,280813,-1,661319,185792,-1,660162,-1,664320,255099,607028,-1,-1,-1,102328,-1,143981,-1,716047,975975,445542,855353,721246,413501,-1,-1,-1,-1,-1,239607,814428,-1,-1,-1,-1,-1,423021,-1,-1,-1,64533,-1,-1,-1,-1,-1,-1,525663,-1,-1,234200,-1,424597,177495,-1,366806,-1,-1,89321,-1,998392,296102,763275,-1,864496,773587,-1,-1,983519,347078,105992,642796,-1,298113,873263,810461,-1,301583,822475,163672,132043,405012,102977,765365,-1,-1,-1,838929,-1,-1,-1,-1,259070,-1,-1,744174,-1,302890,480900,737008,137707,951321,364090,997190,-1,687634,-1,-1,829086,-1,910738,-1,-1,590829,307413,502054,-1,-1,50312,-1,-1,-1,-1,587792,-1,-1,-1,365393,889924,919531,-1,-1,-1,-1,134117,855467,-1,-1,62261,4605,468502,-1,999941,585965,-1,-1,-1,-1,-1,63787,-1,-1,346081,367939,-1,-1,-1,-1,351281,177172,-1,444568,386908,8412,531714,342566,604772,376611,108691,-1,-1,443298,-1,-1,546495,-1,-1,-1,-1,806114,935253,869149,-1,-1,-1,422392,-1,845932,-1,-1,-1,660188,-1,-1,-1,-1,201500,-1,-1,-1,-1,529670,118233,-1,-1,-1,-1,988013,850547,641864,736639,341009,510700,278353,571331,-1,371123,-1,84322,144400,-1,-1,-1,-1,-1,-1,-1,807087,-1,575038,-1,-1,-1,-1,-1,720446,-1,-1,857507,897582,816125,974124,269437,683740,906085,-1,649773,-1,279576,866345,981216,305597,-1,-1,341312,-1,898695,-1,159809,131318,58825,-1,-1,955316,-1,404214,356442,982,-1,-1,630727,674322,941110,-1,-1,326745,-1,899368,128812,425509,-1,-1,674887,983355,720244,-1,-1,-1,-1,-1,239455,-1,306899,739617,-1,478774,-1,-1,52339,-1,-1,926673,-1,516874,-1,872392,-1,-1,-1,19060,-1,-1,-1,475764,-1,480149,-1,-1,915982,501904,-1,-1,-1,-1,-1,781201,147812,-1,-1,24619,-1,-1,298319,-1,-1,-1,-1,434778,-1,-1,657662,890221,-1,485771,-1,605907,264511,298134,123602,-1,-1,-1,-1,694390,86405,738964,-1,-1,687492,588833,-1,702049,864269,343654,469090,935180,171063,726362,674562,637548,-1,-1,-1,770701,-1,-1,628068,114750,311093,-1,-1,739432,-1,-1,535695,-1,128776,-1,-1,179276,-1,367983,-1,-1,400427,650100,-1,343410,-1,-1,-1,748807,195463,-1,692505,-1,421544,855535,-1,-1,529993,742938,610602,288439,939349,-1,-1,451651,-1,-1,-1,298512,941835,-1,-1,-1,693292,920850,-1,-1,-1,409798,463738,15459,131328,95764,20189,-1,-1,-1,-1,-1,276699,-1,-1,229838,896359,362331,-1,228402,687401,80076,311268,413277,615701,443397,-1,715008,-1,-1,-1,-1,20555,-1,895700,-1,997417,-1,769697,-1,-1,-1,276803,-1,729761,976612,256856,502892,708192,312913,58432,81232,-1,737502,-1,-1,174039,592158,-1,883237,923374,163440,-1,-1,-1,-1,893423,-1,321110,-1,571627,73594,-1,281791,-1,142523,-1,-1,-1,-1,-1,674601,268016,283345,127961,-1,428890,-1,295593,-1,566411,-1,330421,-1,318588,-1,518880,-1,143465,176340,120644,-1,716897,116850,842307,991004,297429,-1,956796,-1,556580,-1,297483,683812,-1,112964,-1,827919,501770,-1,-1,108578,-1,-1,334708,835022,-1,135425,817724,-1,241216,-1,-1,-1,10335,728163,-1,-1,30837,-1,956161,167957,81917,-1,-1,749489,-1,-1,663290,-1,340989,239393,-1,378892,996591,10563,578041,-1,-1,-1,-1,555879,-1,-1,694213,-1,-1,-1,-1,-1,232084,199631,846693,871191,-1,-1,308892,714943,-1,-1,-1,-1,-1,399044,711328,96182,492519,-1,730713,-1,-1,-1,99169,472516,745479,-1,344554,594287,-1,-1,37103,-1,-1,1001,-1,232720,546853,706399,551063,-1,-1,-1,162809,-1,879245,380315,-1,-1,-1,506515,484899,-1,-1,736125,-1,209093,994477,674786,-1,-1,623636,710294,64314,814166,38063,633794,221165,-1,717815,622465,90314,79093,919156,322681,275244,825139,-1,-1,-1,711072,-1,508619,445518,-1,-1,507740,790600,-1,-1,576695,-1,128745,-1,-1,391791,-1,-1,809381,527624,-1,578624,290791,579226,833482,25451,977440,-1,533617,-1,-1,-1,183122,334575,438670,-1,-1,-1,558142,91201,-1,-1,141726,691671,-1,-1,-1,860145,-1,720106,647319,-1,391963,889800,-1,507045,-1,-1,711678,495088,706491,72990,-1,-1,-1,273784,90431,-1,-1,-1,739834,46357,-1,735323,930604,-1,-1,-1,990064,-1,-1,216972,-1,139170,-1,-1,385166,356951,-1,-1,-1,603370,872732,853763,-1,-1,-1,47287,344927,874133,589512,-1,161733,506782,-1,892476,-1,-1,663148,584858,702027,374486,-1,-1,392511,-1,289567,-1,-1,157812,226153,366097,648828,-1,849964,-1,-1,-1,-1,898663,239686,-1,754920,356302,279910,-1,-1,-1,153168,-1,44242,-1,481276,456871,858664,209440,641128,-1,101991,-1,738787,649567,789570,-1,-1,-1,-1,455667,-1,682369,82865,-1,-1,41631,-1,-1,607169,-1,314150,-1,-1,-1,-1,-1,-1,457997,938302,617423,-1,830377,759572,-1,-1,219868,-1,-1,314903,877353,182871,-1,-1,418789,-1,730101,-1,226981,-1,-1,-1,-1,-1,-1,60758,-1,-1,650293,485813,-1,596423,682870,798572,730030,-1,634385,-1,-1,-1,-1,230899,-1,321920,-1,333368,565113,344923,422864,115121,11492,34469,-1,923549,197704,-1,-1,758779,-1,378767,298650,429052,-1,-1,-1,661774,173498,-1,465352,648028,540630,786864,-1,830802,-1,-1,682547,133283,116871,-1,-1,849854,422784,-1,-1,-1,599471,590261,713689,781905,93429,-1,984143,404620,-1,276878,310136,-1,342752,723802,178127,-1,-1,104133,596349,-1,-1,-1,370063,419644,671930,-1,505044,563030,-1,-1,164718,-1,-1,147252,-1,227892,-1,368301,-1,772897,341472,910043,-1,-1,-1,-1,162764,614056,-1,81910,476074,-1,-1,571915,135263,-1,-1,-1,-1,-1,70861,802169,607726,459941,-1,-1,519346,-1,-1,958787,215087,-1,-1,796169,-1,-1,604748,127115,884725,-1,-1,-1,-1,595543,381061,33297,6162,-1,-1,484586,188850,-1,-1,-1,887407,-1,769948,-1,609929,-1,169423,828214,-1,874895,419625,617260,691505,563842,-1,544107,36397,-1,294985,483218,-1,85703,-1,-1,-1,512981,-1,102921,-1,993423,-1,13985,-1,213573,-1,964209,-1,468115,861822,-1,-1,883663,-1,567212,11435,62664,-1,344149,421487,213860,376584,657297,212669,-1,-1,5875,353126,875832,834149,-1,950960,157164,144667,-1,534740,-1,-1,-1,-1,760644,-1,178388,-1,-1,896827,473886,927783,-1,-1,-1,-1,-1,-1,-1,735897,585119,-1,977487,933336,155873,520607,794413,9452,584869,-1,-1,375818,736901,987820,982000,208449,582820,-1,255058,-1,-1,-1,-1,-1,-1,-1,337893,54734,284315,-1,126593,388536,178647,52174,-1,-1,-1,710085,-1,-1,-1,459425,67793,201157,-1,530472,272324,666625,23347,889419,-1,602944,67689,124770,-1,630523,316741,-1,-1,-1,854560,290210,-1,-1,-1,-1,544171,-1,-1,-1,-1,-1,875918,-1,136335,-1,-1,506547,-1,641474,-1,-1,85463,475292,-1,192895,785196,-1,-1,366944,-1,-1,-1,-1,-1,-1,-1,-1,543456,809458,150814,764921,173246,553482,955488,-1,-1,-1,-1,-1,-1,879902,-1,790413,-1,470618,-1,-1,-1,-1,-1,-1,258041,235788,-1,-1,545083,-1,180717,-1,-1,-1,358579,236417,-1,524331,-1,-1,-1,793031,206603,-1,573602,-1,755232,11955,771085,819824,585619,329294,170356,-1,486932,500139,-1,-1,493593,352437,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,771241,-1,439305,-1,-1,754038,202567,-1,-1,-1,796920,-1,245674,-1,-1,-1,-1,78105,422787,577984,300477,-1,266800,-1,193739,40546,-1,-1,-1,-1,115180,-1,-1,537870,209393,-1,-1,-1,714404,-1,-1,-1,-1,255094,419166,-1,9070,-1,775062,562383,600901,-1,-1,-1,-1,-1,-1,-1,-1,788376,259176,-1,-1,-1,-1,877963,775806,-1,954398,252974,-1,-1,634441,-1,-1,698895,225529,431522,288399,752977,-1,968754,-1,676105,431983,-1,-1,880881,77572,247989,24907,-1,121340,-1,-1,498792,-1,521787,192413,224987,831358,549883,554965,100538,-1,-1,290318,492413,-1,-1,469649,761439,-1,-1,-1,-1,-1,894589,-1,-1,-1,-1,-1,-1,247002,855994,-1,-1,-1,462076,-1,950683,303794,-1,-1,-1,297988,-1,59709,455761,-1,-1,352211,-1,-1,386331,-1,-1,-1,-1,-1,129061,22991,302384,530128,940368,-1,530702,808723,666616,-1,957004,-1,175316,-1,727059,-1,-1,453034,-1,623906,779744,148821,558650,704167,-1,719040,193364,792646,-1,-1,927610,-1,-1,821398,-1,681394,-1,-1,-1,253061,17790,250584,605023,-1,791690,-1,656760,674083,359642,-1,-1,-1,722707,682379,143071,-1,-1,-1,177975,-1,258562,-1,-1,-1,712151,455808,-1,-1,-1,-1,65678,-1,260385,450557,942209,-1,234713,-1,-1,637272,-1,147264,839572,-1,-1,971316,631006,490887,-1,899275,-1,-1,717793,-1,459611,-1,-1,191219,416544,-1,-1,146273,-1,-1,793354,660960,904194,778617,-1,-1,-1,525524,-1,-1,95291,-1,33084,-1,598403,-1,412397,81796,-1,408794,-1,-1,100652,970596,226788,-1,35932,166157,-1,150988,-1,-1,107348,-1,-1,74395,874468,-1,-1,-1,200161,901926,-1,-1,223895,-1,471845,70313,-1,-1,-1,746217,889925,-1,525974,-1,508982,-1,854491,-1,-1,-1,722908,-1,-1,106375,414722,-1,-1,939559,874147,908868,-1,721915,-1,-1,-1,173416,198003,790658,173146,-1,-1,952210,596863,212623,804918,345412,460780,27814,996088,-1,688865,414362,870669,975264,298351,840891,468603,215703,-1,-1,-1,925773,-1,-1,-1,-1,776182,732592,772558,-1,-1,-1,-1,411957,-1,906080,392842,146371,-1,333279,-1,874272,733642,-1,-1,-1,-1,522710,-1,-1,-1,63966,643907,117529,-1,-1,808810,277313,-1,992445,527634,-1,-1,430629,-1,-1,727406,84425,541693,-1,641789,556806,-1,194272,-1,397550,251227,-1,800298,-1,-1,-1,-1,-1,485118,-1,-1,-1,52935,426709,532544,-1,-1,-1,537181,223767,672474,876659,-1,562571,742086,411870,596867,398282,885393,-1,-1,-1,864621,-1,-1,520299,-1,909749,985895,-1,-1,646151,827442,-1,-1,-1,821800,839730,-1,-1,12067,-1,618495,-1,84459,-1,705116,562929,-1,-1,-1,567801,248813,836013,293308,812002,5487,-1,23034,308037,-1,-1,379170,-1,-1,164632,694764,758244,557518,30297,-1,-1,-1,301659,-1,-1,440059,-1,-1,-1,876183,472420,-1,-1,-1,949952,743143,449296,27690,986646,143947,402721,-1,478002,-1,605973,-1,-1,838715,-1,223325,509730,438110,-1,-1,-1,823882,-1,-1,646573,703479,993701,-1,-1,-1,-1,456138,-1,743267,-1,-1,-1,-1,-1,992207,-1,206439,675564,-1,921566,-1,241802,-1,619058,360400,-1,-1,-1,641526,502197,-1,545125,-1,-1,833593,-1,-1,165422,-1,-1,-1,-1,-1,-1,330677,-1,953252,565251,446886,57132,213664,599371,-1,-1,418224,50036,-1,344526,-1,458917,41324,131239,991278,142174,307033,-1,-1,-1,-1,892709,43815,311167,977812,900217,598051,762289,-1,291795,-1,-1,977963,703135,-1,-1,-1,-1,-1,-1,-1,790883,-1,-1,-1,-1,-1,-1,175904,539020,-1,720234,214244,-1,553583,348397,-1,-1,261718,627306,366280,848775,-1,-1,-1,-1,93812,-1,-1,656037,-1,-1,-1,471680,-1,-1,676665,-1,672276,-1,731657,-1,325270,-1,-1,-1,-1,236548,187177,-1,-1,371489,130395,930659,268201,-1,-1,830803,412590,-1,-1,396024,-1,-1,285588,-1,201999,-1,737998,-1,-1,229064,-1,992300,976789,-1,-1,-1,253363,742421,-1,-1,713143,-1,95017,978546,-1,859199,-1,-1,-1,-1,-1,58790,847475,-1,-1,485127,505847,-1,-1,524089,-1,785067,-1,-1,-1,596609,-1,-1,379756,-1,823266,426032,-1,-1,-1,402705,365774,376568,-1,-1,625505,-1,933832,-1,-1,-1,789764,149406,910510,96177,-1,-1,-1,362783,1859,294470,-1,-1,842876,-1,197333,-1,-1,-1,-1,442175,-1,-1,-1,49360,-1,927036,271649,779291,-1,-1,680412,398871,-1,279193,433880,-1,-1,873773,735216,-1,351400,-1,-1,-1,932158,50010,881617,-1,-1,185620,765580,-1,6577,314442,-1,-1,-1,68403,296888,38057,-1,-1,-1,522900,52930,803825,110591,465624,493902,375193,216590,-1,540511,768517,18435,540034,23114,-1,779591,-1,608368,-1,586726,-1,-1,-1,277677,-1,-1,606086,553925,441517,45099,-1,-1,90322,924151,-1,879022,-1,2721,910961,-1,-1,53268,973420,910199,992452,-1,-1,533767,900288,559718,959044,343106,-1,178348,-1,941282,266647,511345,-1,-1,330124,-1,-1,101760,398520,999471,350452,-1,851697,-1,764947,521858,778501,-1,268079,105201,-1,-1,212171,980418,-1,-1,323242,-1,94630,-1,976501,-1,567942,850904,275499,-1,137954,140262,968280,-1,549108,-1,-1,272079,-1,474986,823649,78525,322789,-1,-1,933851,-1,374167,380256,-1,152343,-1,-1,152122,-1,-1,368353,-1,773603,329131,578948,-1,349692,155486,-1,437427,-1,652558,-1,48705,-1,-1,-1,-1,-1,-1,340231,-1,944101,581603,-1,-1,239294,555684,880118,231633,540668,889856,-1,54021,181911,-1,315002,458773,-1,667383,925725,652131,-1,393647,-1,-1,758837,98900,-1,21215,-1,123222,263462,-1,870813,-1,-1,609286,-1,-1,502070,608141,-1,-1,-1,561088,349932,-1,-1,309193,-1,-1,-1,334809,458543,-1,973520,999740,-1,75682,-1,-1,140112,645602,-1,-1,-1,-1,47537,309980,-1,-1,-1,-1,-1,593750,352387,308653,937394,-1,-1,609299,745264,-1,151514,-1,-1,260724,-1,-1,726480,-1,516726,610782,-1,-1,-1,340281,512053,772408,394111,421334,-1,-1,619572,-1,-1,-1,615399,-1,-1,-1,-1,386881,260710,-1,-1,-1,230551,-1,446736,731295,-1,-1,114542,-1,-1,860217,251113,-1,637155,-1,40923,865624,-1,-1,981928,-1,-1,279818,-1,-1,414703,-1,-1,-1,-1,-1,576698,-1,294880,-1,-1,506048,-1,-1,199270,225614,486776,697841,-1,836981,808014,17800,-1,-1,472358,-1,844234,930797,771387,-1,178617,744327,629995,-1,-1,-1,-1,430622,198979,81284,843869,446874,129871,934676,-1,630105,79992,694149,-1,-1,316461,-1,181898,471856,169853,-1,324366,832299,320239,798625,-1,910761,795465,833456,84176,43790,694074,557876,-1,319916,-1,272794,589230,11202,-1,-1,-1,-1,-1,560254,-1,717870,227901,832486,100973,384113,-1,264221,-1,-1,-1,-1,-1,-1,-1,-1,239875,845093,846654,-1,469912,-1,196294,266776,317797,355688,837268,-1,690683,-1,481253,688700,-1,675846,687898,557278,131781,-1,-1,224445,-1,857135,111837,-1,119593,-1,-1,-1,996094,-1,-1,67822,674144,348142,-1,18614,512261,969613,314744,342104,431291,-1,-1,435943,766820,-1,849842,-1,-1,239576,522379,-1,-1,778502,686262,88452,-1,582507,61221,539395,191567,213487,941966,436754,405185,-1,140257,-1,-1,-1,-1,107224,146949,-1,864464,600330,-1,267835,-1,-1,552298,285493,-1,217382,-1,-1,962765,618893,-1,-1,889344,-1,-1,-1,-1,165534,854991,-1,394838,28793,-1,-1,888619,439235,-1,864428,-1,-1,-1,-1,52098,-1,331588,405064,-1,-1,-1,-1,414299,-1,549444,-1,-1,-1,-1,-1,451462,614633,819435,-1,645770,-1,868859,957491,905697,313335,557196,73130,-1,-1,490634,-1,831133,-1,983560,509038,-1,828197,8499,702240,-1,-1,-1,-1,161989,459495,-1,-1,-1,53293,462054,-1,-1,877552,393931,-1,419747,59688,-1,73056,787381,608839,896095,-1,834535,-1,17397,-1,400804,-1,47888,643574,478869,207144,-1,636701,603128,910745,-1,532973,305540,88026,385475,233318,877117,-1,-1,64871,47636,-1,-1,373913,-1,-1,600388,-1,-1,879827,-1,180151,311228,470036,849390,-1,943086,826941,-1,331555,-1,10952,-1,25972,191829,-1,80103,145438,169397,-1,379838,-1,411220,814416,621766,800463,-1,-1,496149,220918,-1,-1,-1,459503,-1,-1,635997,552688,-1,-1,938941,289241,-1,-1,153449,315253,-1,-1,-1,-1,-1,401757,-1,693982,198587,16780,546975,-1,832024,-1,352013,-1,808042,34273,707381,-1,514859,-1,-1,376827,-1,-1,315793,96483,343355,323543,-1,-1,-1,537350,271736,872422,681354,-1,100478,146671,259446,668205,361336,-1,-1,843906,-1,304805,-1,-1,-1,-1,-1,677171,-1,1241,-1,796059,-1,-1,453239,-1,-1,-1,-1,217372,503144,-1,-1,73570,289254,684250,401880,-1,721401,-1,245150,225128,433967,-1,-1,-1,-1,-1,634351,313273,324364,-1,168768,-1,336098,-1,327514,-1,-1,-1,-1,590014,-1,36258,549097,973190,-1,-1,216448,743304,515917,244827,-1,-1,217475,8229,244983,711640,326809,-1,-1,494902,571583,-1,-1,1085,-1,406317,700963,146834,-1,-1,-1,362037,-1,123388,454164,189516,832223,-1,813319,510966,-1,-1,920546,185281,-1,682698,-1,-1,-1,-1,-1,-1,-1,-1,-1,609715,280578,259008,649962,-1,-1,559094,-1,-1,397220,23937,-1,-1,563598,61636,461761,-1,-1,867491,-1,-1,-1,965297,-1,-1,-1,881954,-1,-1,-1,-1,-1,779474,-1,214775,-1,546015,575228,898380,158284,233005,-1,363758,-1,-1,-1,975294,-1,826374,196771,342356,943527,155383,553665,-1,-1,-1,-1,148431,-1,846332,99312,-1,903935,201084,734036,41218,-1,-1,790338,535651,973780,-1,-1,747563,484210,396131,138627,826280,-1,268978,-1,-1,-1,850776,-1,-1,975308,294170,-1,-1,-1,-1,-1,606797,-1,895487,163590,558223,588580,-1,-1,472597,202301,244641,666467,-1,184239,766810,990005,109792,-1,816600,977739,88712,-1,333865,-1,24552,-1,317379,257295,251509,98929,-1,-1,886568,17712,280929,934628,736556,-1,-1,-1,-1,-1,972136,-1,-1,-1,634590,-1,-1,56942,-1,-1,-1,89392,-1,-1,239915,784819,-1,-1,886166,-1,-1,-1,-1,289031,682145,-1,-1,871777,143426,-1,386300,-1,-1,-1,90506,188826,173876,-1,76959,888641,84663,-1,419341,9215,-1,-1,-1,-1,46004,426683,155811,518604,-1,-1,907997,-1,422028,184284,-1,-1,-1,989885,-1,502965,-1,-1,-1,-1,379194,659623,-1,399527,49460,791080,-1,874590,180858,-1,-1,-1,66030,-1,-1,-1,-1,589859,-1,410782,921879,822995,217420,-1,-1,143084,-1,715652,-1,984522,79980,133165,-1,407989,-1,408249,553200,628627,34064,-1,-1,-1,-1,-1,608704,925128,223807,-1,477187,195223,-1,-1,-1,186529,846496,-1,618040,-1,466055,-1,-1,133574,256680,301385,960907,513443,139594,617922,-1,-1,-1,982517,188248,-1,-1,953033,953300,-1,23053,-1,-1,-1,-1,-1,399964,-1,703221,731822,40917,192960,-1,-1,969127,425331,22468,484627,-1,59354,-1,-1,-1,-1,-1,834291,88355,-1,146878,-1,941718,677522,-1,-1,59892,-1,257761,855401,48956,-1,-1,586135,-1,596466,641570,-1,476805,-1,-1,980866,762213,-1,536566,514336,834334,39638,272045,736568,-1,-1,42922,316399,472730,369117,-1,-1,403808,-1,802315,675351,-1,-1,-1,40136,-1,77996,-1,827184,-1,-1,102550,-1,-1,-1,-1,-1,683412,-1,-1,785849,836926,-1,-1,442068,-1,28064,-1,-1,-1,-1,-1,181489,607965,-1,-1,-1,-1,-1,170913,397819,-1,-1,397148,179574,603880,-1,-1,738714,440656,-1,545295,820472,-1,872252,-1,-1,-1,862397,991580,462751,422470,396233,-1,61338,-1,668090,163062,-1,-1,843853,-1,-1,-1,61794,246340,-1,763342,-1,415153,832353,-1,178449,310039,-1,-1,372459,254019,-1,-1,134692,-1,-1,897354,95675,246775,683259,466654,361408,-1,-1,-1,-1,918194,775704,-1,-1,706476,442445,-1,-1,156826,621860,585624,-1,-1,-1,-1,-1,-1,-1,257258,984174,-1,987024,996777,-1,100171,957509,-1,-1,-1,196463,86062,31447,-1,823510,-1,-1,427244,65192,-1,-1,-1,308316,-1,110857,-1,-1,417100,-1,-1,971716,744481,-1,945053,851265,-1,700992,255701,398775,-1,-1,771091,22872,-1,-1,182285,108800,63436,785313,607044,-1,574053,113858,-1,338401,425731,-1,213632,86409,-1,389249,443180,300875,588219,-1,877380,-1,-1,518595,-1,234465,118549,126622,802243,-1,358816,-1,-1,-1,641582,159941,-1,46055,790730,-1,813473,633381,240432,-1,411398,985014,-1,581843,-1,-1,-1,-1,-1,702498,828212,753476,522697,245423,-1,-1,46563,-1,-1,325870,221446,-1,-1,-1,439007,-1,-1,-1,405991,591559,818833,741494,-1,192541,340599,-1,902817,-1,-1,-1,542544,665161,-1,-1,107287,-1,920736,561015,-1,-1,315139,-1,-1,590710,434851,29055,966025,208376,50873,-1,-1,309127,922486,-1,-1,249455,401959,991700,-1,-1,-1,585314,-1,-1,-1,301450,-1,282946,479959,-1,272481,-1,63948,101671,575172,-1,-1,-1,95622,338606,-1,-1,-1,-1,9145,-1,173427,747005,187754,635237,-1,-1,394142,120642,-1,-1,23392,835181,552276,190933,993876,-1,498793,192715,9459,-1,-1,611968,887188,-1,344335,429695,-1,113790,319021,-1,-1,-1,982916,265222,-1,818492,-1,-1,901406,935304,-1,490668,7799,-1,358136,-1,-1,781106,-1,-1,-1,229885,716886,-1,316185,-1,-1,639297,925900,-1,717477,-1,79112,964084,-1,-1,554044,254252,-1,-1,-1,738657,962573,945118,-1,-1,-1,-1,-1,356010,-1,692111,-1,-1,740063,-1,453714,274793,-1,-1,450738,-1,549026,659826,-1,637607,-1,347236,-1,431893,926662,-1,-1,896980,475037,997157,-1,840766,852851,63319,23123,55888,325982,779432,186341,-1,-1,162673,240940,445745,-1,-1,-1,-1,-1,167624,-1,920884,947540,-1,-1,321936,-1,932862,431741,-1,-1,783307,947544,-1,-1,203254,-1,915475,-1,296020,692101,183107,-1,-1,120029,156266,711275,924467,926515,317328,-1,534957,-1,-1,323782,876945,-1,-1,-1,755583,633119,369290,-1,123638,534874,763209,562232,-1,-1,890924,-1,801494,-1,-1,-1,475194,-1,192175,879406,-1,670580,847940,978002,-1,194712,476513,4999,695884,809359,577985,-1,282924,-1,804014,958804,325792,318691,481210,-1,43051,41904,-1,142044,-1,384526,480537,-1,305324,-1,219960,-1,-1,592126,-1,487939,-1,-1,-1,831902,218299,-1,-1,49415,-1,331711,-1,960269,109310,882353,-1,-1,952923,634600,-1,-1,-1,-1,-1,-1,-1,896618,-1,809955,-1,-1,-1,171853,504020,-1,994116,835879,-1,-1,-1,-1,-1,290625,-1,-1,574887,-1,560795,-1,642181,554453,-1,685991,-1,-1,45322,167737,427272,232251,-1,-1,-1,169559,-1,-1,62785,852555,842937,-1,-1,881118,-1,262095,-1,-1,-1,-1,-1,-1,954745,691196,802472,920796,-1,458694,291879,941934,-1,853090,988098,-1,-1,-1,752725,792605,-1,977075,289142,480153,-1,-1,587941,-1,408830,962946,-1,734198,-1,-1,-1,-1,-1,-1,-1,-1,222228,973615,821692,-1,-1,-1,-1,-1,-1,205769,413095,-1,380414,634830,-1,215066,318190,971305,-1,-1,694272,209186,-1,-1,-1,-1,-1,-1,-1,-1,377140,-1,253714,-1,707131,-1,78250,-1,532560,-1,551846,176808,530860,-1,932221,674108,557031,915968,794461,-1,255605,529319,-1,752264,-1,-1,-1,-1,-1,225378,-1,-1,895824,81544,-1,425097,-1,998975,648157,809092,109202,323870,69345,-1,-1,671965,-1,538080,642065,40154,332292,583528,990065,-1,968906,701556,6781,-1,-1,285805,-1,459350,393372,-1,-1,-1,230617,735862,761292,-1,879736,291941,218603,21492,842479,-1,802141,627408,437880,-1,-1,-1,-1,395663,-1,575631,191327,-1,-1,-1,-1,433717,-1,-1,-1,203456,28078,-1,-1,-1,-1,-1,929453,818506,193790,223194,479431,-1,-1,927508,-1,53542,303671,-1,-1,7514,-1,-1,-1,-1,856200,-1,-1,-1,920053,985958,529924,838305,820189,420421,-1,454651,95149,477340,252123,392389,-1,-1,917671,314286,-1,796981,-1,-1,-1,814432,-1,-1,561021,223508,599933,711399,815727,-1,-1,-1,-1,866440,-1,973960,614853,-1,-1,440143,3449,51637,646252,773782,-1,188426,372748,752077,376451,-1,-1,314390,-1,50373,-1,977397,215199,-1,-1,705267,809872,606133,-1,-1,970740,-1,-1,-1,-1,841640,-1,223056,270248,-1,418667,686140,-1,318567,455157,48445,942395,879732,663679,976959,-1,-1,-1,-1,-1,-1,612887,790195,-1,-1,824232,-1,274477,-1,-1,470270,-1,-1,-1,-1,669414,-1,-1,350240,449510,-1,-1,783409,-1,19187,946867,266081,-1,-1,-1,-1,-1,512858,268471,255029,-1,450187,970023,-1,-1,-1,329421,473497,856808,-1,82808,-1,156873,-1,-1,454819,521035,-1,191005,-1,-1,-1,-1,-1,828609,392679,-1,-1,-1,-1,734453,824975,-1,-1,-1,258423,600111,-1,-1,419263,548800,382100,491889,612868,-1,-1,845402,-1,188634,651088,-1,117378,678890,195200,608061,-1,-1,183819,-1,179261,336293,625084,-1,-1,-1,-1,231185,971434,-1,637399,-1,939075,-1,-1,-1,465466,389483,-1,-1,-1,-1,317793,642170,763499,173500,-1,-1,-1,216063,-1,-1,636778,-1,809407,-1,35528,-1,934955,-1,415131,-1,-1,849573,465618,-1,-1,510546,925505,-1,-1,478190,228393,167242,783772,-1,49656,96792,702152,-1,-1,-1,867788,754952,-1,-1,-1,-1,721832,595868,-1,324311,552169,-1,435521,-1,132447,884502,183435,390418,-1,-1,-1,314540,-1,-1,206451,-1,-1,274616,362702,263959,-1,-1,748712,-1,-1,821892,-1,-1,70399,-1,-1,-1,131564,522202,-1,-1,318306,-1,-1,704047,-1,133122,528600,678976,199770,51922,933693,941327,-1,62335,11812,538540,532814,604142,-1,858552,154302,810885,546473,532277,77039,278540,-1,878602,-1,-1,501940,-1,-1,-1,-1,-1,579010,-1,246327,-1,844906,-1,-1,-1,-1,543914,-1,702162,13155,-1,908863,362454,-1,64806,-1,-1,740444,-1,-1,-1,-1,-1,-1,-1,748517,335031,388296,729723,-1,-1,-1,123433,150862,-1,-1,489701,-1,581353,-1,871250,342613,-1,837650,885240,677847,-1,534552,578314,756017,788771,377070,705071,468948,-1,-1,-1,140845,-1,960074,-1,-1,982616,-1,519331,-1,3682,142275,-1,531204,-1,987133,-1,648214,603689,983343,165220,865042,-1,606923,36282,-1,-1,860977,-1,-1,-1,111136,-1,224343,-1,988745,-1,-1,580817,909731,771211,-1,-1,603177,570392,-1,867936,-1,-1,-1,-1,900004,159328,-1,644171,790829,-1,303992,-1,-1,831888,740902,232015,-1,-1,-1,-1,-1,-1,811843,-1,785559,-1,-1,-1,267726,831621,-1,155022,335565,-1,581352,314582,-1,-1,895808,-1,493862,-1,217435,-1,-1,472179,-1,-1,528195,128013,-1,218223,-1,-1,-1,-1,-1,232623,421655,231518,-1,507429,843008,33813,-1,7937,956274,-1,-1,844297,896853,73676,-1,768021,468272,814184,-1,897194,-1,-1,182426,-1,-1,614197,-1,467164,-1,326812,-1,-1,122226,-1,241199,-1,-1,-1,758129,368464,-1,123689,-1,-1,7302,203858,-1,480695,-1,320614,-1,-1,330613,149711,676822,390171,984849,985448,981790,-1,-1,-1,775969,-1,556702,-1,-1,-1,-1,623074,59126,519775,-1,-1,-1,-1,-1,-1,236170,129952,-1,-1,-1,169785,60716,-1,-1,-1,492642,-1,791821,-1,117761,-1,-1,544092,-1,491249,731644,199301,684429,473177,125290,444944,842218,541862,-1,391417,658479,-1,-1,-1,741301,-1,517368,-1,649654,-1,-1,731006,-1,-1,-1,-1,-1,-1,-1,735948,144414,243312,-1,506647,379305,-1,219454,579574,79171,955268,-1,-1,-1,-1,-1,288634,-1,584841,327855,-1,4603,-1,-1,86819,-1,530901,-1,258810,-1,-1,132032,-1,-1,54609,-1,403254,-1,859853,644669,929686,448039,-1,579121,-1,504141,-1,-1,-1,-1,-1,342354,-1,-1,453406,482682,-1,-1,116548,787393,388097,-1,274989,320810,61313,785399,555365,279274,884708,642926,401904,-1,694207,32668,-1,874060,793181,942188,146847,765275,-1,-1,502913,-1,994142,578896,395807,-1,961426,36311,722051,754975,88803,-1,-1,-1,-1,22118,-1,-1,-1,46042,-1,-1,448796,-1,-1,302431,-1,-1,833600,-1,-1,-1,890951,839398,707679,-1,-1,-1,-1,234589,292365,-1,624377,345125,-1,-1,-1,-1,543242,245457,765750,294374,-1,-1,192143,554168,-1,-1,29903,-1,243198,529750,-1,-1,-1,408715,-1,390819,899305,163868,-1,-1,-1,-1,-1,810126,-1,90033,-1,-1,-1,-1,-1,-1,-1,-1,364330,581365,-1,532284,381694,916582,231453,-1,687022,855206,481763,-1,331027,250885,-1,478114,-1,614326,499280,816821,43466,863053,729514,-1,-1,-1,303806,271395,-1,-1,671239,422564,-1,304871,-1,-1,738792,-1,438575,-1,-1,16594,474658,-1,789000,935925,-1,-1,-1,-1,482599,-1,227624,732472,-1,-1,70344,985494,679580,589953,-1,-1,984273,553546,-1,295757,-1,872087,691393,-1,-1,-1,-1,-1,-1,-1,396296,82643,-1,777559,-1,-1,305666,-1,424897,783403,755343,-1,389142,400245,509933,-1,-1,799979,179575,-1,582218,734280,473461,-1,872356,-1,-1,-1,774578,-1,-1,835939,323198,-1,-1,-1,665996,506731,287235,903277,491873,371736,437733,-1,-1,-1,-1,666427,-1,-1,705795,403265,-1,585044,551580,-1,981993,-1,800268,900728,418200,117774,880513,-1,-1,889899,20409,408704,869523,-1,-1,-1,932553,-1,251706,-1,749976,10477,-1,495238,81027,669931,-1,-1,665056,-1,412598,-1,516280,-1,741935,-1,887518,-1,662518,303756,224855,-1,198168,874807,643978,520698,-1,-1,953058,825663,-1,-1,-1,393469,-1,46016,421727,-1,-1,299108,-1,-1,-1,615656,-1,-1,913744,-1,826918,996804,-1,906514,673807,-1,602133,931609,-1,347151,-1,299478,427017,785420,374707,-1,241192,-1,874031,-1,335592,925810,-1,-1,-1,-1,-1,824737,604160,-1,-1,144844,776657,-1,-1,4490,-1,533353,-1,220081,669667,774235,-1,-1,-1,-1,280143,184476,165457,-1,-1,575619,184246,-1,193728,441348,-1,-1,-1,-1,357637,712967,57168,764437,423189,-1,631711,64768,860933,-1,23305,113605,426228,999797,333725,789278,-1,-1,11419,-1,-1,429430,796223,-1,960948,-1,861784,867617,660747,-1,194256,841044,-1,-1,-1,-1,-1,437816,-1,279690,-1,116401,407922,-1,-1,106487,-1,-1,879694,-1,-1,-1,70855,-1,-1,697308,613723,79565,931782,-1,-1,-1,-1,329480,-1,753557,-1,-1,877103,917015,642561,-1,-1,-1,-1,812708,628479,138803,815987,283694,953963,157655,-1,-1,-1,-1,-1,801640,-1,-1,55277,-1,-1,820014,-1,-1,642450,775083,382894,-1,953297,-1,-1,-1,-1,-1,876556,359481,-1,412327,669419,-1,-1,-1,-1,-1,-1,167327,-1,-1,-1,540331,-1,395318,720164,-1,-1,-1,-1,961418,-1,79547,-1,517849,-1,459387,-1,-1,-1,870136,437033,754864,-1,141007,-1,254847,-1,154003,489019,-1,255802,659342,726707,-1,821483,-1,76850,-1,-1,-1,-1,-1,-1,385749,-1,-1,-1,-1,-1,-1,91220,-1,-1,99804,493609,240508,256434,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,635981,259584,-1,-1,-1,151590,624276,-1,-1,545343,554948,-1,234864,460411,93218,-1,-1,224996,652628,-1,138646,-1,-1,272971,-1,322803,38779,-1,-1,681486,-1,-1,661746,527891,-1,-1,4938,-1,-1,-1,341727,455353,52871,-1,825748,-1,379613,671471,-1,680532,688123,532147,-1,38356,255602,-1,-1,634291,113766,353779,-1,-1,632816,-1,599131,370659,-1,-1,298787,-1,-1,287453,-1,-1,802144,-1,-1,-1,-1,659915,333386,-1,552807,140149,734845,-1,205914,52462,698455,-1,-1,-1,-1,669019,811026,427004,-1,362288,-1,178064,-1,842415,-1,-1,281821,-1,155428,568439,269648,188587,466207,-1,-1,241005,891209,-1,-1,-1,998427,835961,326760,268730,388046,-1,550197,-1,195168,692990,383461,-1,932253,-1,281812,797904,-1,-1,-1,74953,-1,-1,-1,148764,-1,813450,550838,659258,88397,-1,-1,296453,610581,797483,-1,131235,615638,-1,-1,857234,-1,473072,-1,507126,-1,627490,229488,-1,-1,712316,-1,-1,529252,-1,663627,840508,317295,256950,-1,119694,-1,-1,961738,149386,-1,423372,-1,-1,606398,349504,-1,-1,-1,433922,489060,976162,741053,-1,-1,226159,-1,-1,47066,-1,405803,-1,-1,35743,857896,542028,-1,-1,-1,-1,-1,482355,-1,-1,241397,-1,436783,100852,106460,148139,-1,-1,450717,745917,-1,957079,349166,-1,-1,481588,-1,-1,83307,-1,264729,722517,432428,-1,-1,747500,959146,-1,-1,-1,-1,906603,-1,-1,-1,-1,-1,-1,930540,-1,559321,-1,-1,120187,-1,-1,614490,-1,238119,292521,113964,625978,513697,315427,-1,-1,-1,-1,250700,-1,-1,-1,687985,744049,342053,-1,416353,-1,-1,161683,984049,675534,946737,-1,-1,732382,-1,-1,523547,257683,-1,-1,-1,-1,-1,527949,735846,-1,-1,-1,316960,191170,-1,-1,387456,-1,498228,767907,4928,-1,-1,658448,-1,-1,490410,-1,418370,752086,999830,-1,-1,40413,-1,-1,361565,-1,-1,-1,-1,565140,776712,-1,-1,61052,-1,982956,-1,-1,-1,779100,-1,-1,472840,-1,643066,48094,-1,-1,-1,-1,-1,298570,826716,393972,662727,-1,767612,770475,-1,-1,296240,145724,-1,-1,170224,-1,390352,53884,684736,-1,-1,-1,40568,712270,-1,-1,258967,150982,729150,227793,-1,722463,655772,-1,-1,-1,713738,840143,-1,-1,-1,964874,923689,-1,987795,749521,670741,-1,-1,777807,-1,-1,934,-1,895805,-1,-1,-1,97243,586351,528853,175684,366861,-1,144453,597208,-1,-1,-1,-1,695524,406078,322991,49315,583946,-1,680786,-1,-1,470290,-1,-1,246248,-1,-1,290526,-1,-1,-1,-1,905808,-1,123617,736591,238219,-1,-1,-1,981697,-1,44958,-1,-1,933299,989184,-1,299156,40608,-1,-1,-1,-1,534033,-1,645477,-1,-1,-1,-1,508021,839118,-1,724327,550681,492695,-1,230486,543330,-1,-1,-1,75528,761880,725042,93249,-1,940034,-1,-1,-1,-1,-1,843610,12750,-1,-1,270014,91215,205898,-1,894757,208876,824286,172394,194166,-1,-1,834955,-1,173789,-1,-1,746834,927647,-1,902624,809204,-1,758071,-1,-1,636895,751164,-1,-1,-1,84863,-1,479514,-1,-1,248843,139674,-1,481023,-1,31115,-1,-1,-1,123770,-1,-1,702680,339776,191193,307022,-1,947967,-1,-1,-1,695957,478831,-1,53313,-1,135731,297471,-1,-1,-1,593553,260892,946019,-1,430678,-1,-1,-1,651385,126369,-1,-1,362599,-1,-1,-1,638687,12117,-1,253634,911959,697965,657226,-1,736855,-1,-1,192154,-1,-1,-1,-1,319315,-1,793128,906540,32455,283874,-1,-1,90329,-1,805009,-1,501994,-1,-1,35641,-1,289050,306846,489760,953922,108179,739741,857976,-1,-1,-1,817161,603558,-1,717020,507370,-1,780105,-1,518485,-1,241410,40240,-1,-1,-1,-1,-1,-1,677163,-1,846215,-1,-1,217601,-1,-1,-1,-1,789429,181917,497659,-1,-1,936254,420209,-1,120309,837288,-1,-1,547258,71006,-1,-1,262891,-1,-1,-1,-1,49776,-1,-1,325508,19626,468670,739825,297955,-1,290017,827389,274832,713287,871971,-1,614395,745552,-1,-1,-1,862351,-1,-1,362890,-1,352496,813405,-1,-1,-1,-1,376009,-1,838871,-1,-1,-1,-1,283072,-1,604862,887660,-1,185171,-1,-1,-1,961350,-1,-1,-1,-1,-1,-1,-1,-1,-1,458748,795046,496292,-1,-1,797623,-1,613809,613291,-1,-1,-1,-1,-1,558780,673677,247636,842181,741378,-1,484628,-1,-1,-1,148599,549055,-1,904181,288563,914193,608922,-1,-1,556303,729536,647386,521954,731372,-1,-1,909809,49097,-1,-1,363847,-1,-1,384231,-1,259920,103987,-1,8877,261376,858020,150105,-1,-1,-1,-1,412640,-1,768191,-1,-1,212879,564378,-1,739649,331416,-1,202660,934256,805616,236686,214375,-1,-1,735105,-1,382656,357563,633493,-1,-1,-1,-1,-1,357476,167112,645489,-1,-1,204342,-1,51944,642860,154796,413058,153137,-1,-1,-1,306784,854153,-1,459123,604449,46000,-1,-1,-1,-1,411465,-1,-1,-1,917269,813812,-1,-1,-1,-1,-1,963573,-1,459500,-1,-1,-1,-1,-1,-1,328357,-1,-1,-1,-1,-1,-1,832333,-1,656454,778804,-1,-1,-1,-1,906772,246706,-1,-1,675636,-1,-1,-1,-1,340951,-1,922157,352080,852580,952881,354069,-1,-1,581953,788431,-1,-1,-1,-1,346764,-1,-1,-1,-1,748916,-1,519135,690411,-1,222320,504751,-1,46947,-1,-1,333630,985457,-1,594081,39232,858146,-1,-1,-1,-1,776143,-1,-1,-1,-1,518551,-1,-1,-1,528384,95726,27587,-1,-1,-1,25329,830355,195596,-1,538624,-1,-1,124912,687134,-1,-1,-1,491194,112549,351388,402462,69608,131504,-1,-1,148575,307760,271205,135953,876563,-1,277117,386263,929215,384153,790704,430416,-1,-1,-1,-1,92412,533698,973045,547839,30132,437564,-1,732018,791932,-1,-1,-1,-1,503268,615383,113432,306957,753469,844416,-1,-1,-1,-1,-1,384511,561327,515308,-1,-1,354105,159349,-1,-1,-1,-1,49929,-1,336368,497329,252253,2447,652036,-1,-1,-1,-1,285273,382550,580788,31268,526041,-1,351554,33796,-1,386707,269856,929581,847619,794841,75740,-1,-1,841719,-1,-1,-1,-1,566022,-1,-1,-1,-1,945011,68825,229228,880884,-1,-1,309136,-1,-1,-1,-1,618446,-1,-1,580801,-1,-1,-1,206351,-1,378127,695808,-1,-1,-1,-1,-1,528942,939918,-1,-1,432457,706124,78749,-1,-1,819944,221198,540370,-1,-1,991044,954755,674270,-1,-1,22021,-1,-1,933602,400842,-1,-1,978888,-1,136190,-1,798180,-1,122847,777292,974712,158259,-1,-1,929683,-1,-1,42662,869848,737345,-1,643619,836916,-1,541757,554436,905622,676176,-1,503412,-1,-1,-1,484428,-1,-1,-1,-1,281551,-1,582473,711080,909633,-1,-1,-1,246357,328583,767322,-1,433992,119447,-1,-1,404814,-1,572768,-1,-1,-1,699319,677357,536756,-1,331700,-1,909389,611522,877440,418805,114039,789572,-1,-1,-1,-1,-1,-1,844861,-1,-1,531486,-1,-1,809858,189330,-1,-1,-1,-1,-1,-1,327635,-1,-1,-1,242220,-1,-1,-1,118846,700289,-1,661407,-1,684313,-1,-1,885321,-1,964184,828158,978152,-1,-1,-1,358350,304396,-1,565668,-1,151925,237005,-1,890494,846964,-1,-1,882878,-1,32106,-1,825917,-1,996746,-1,-1,177217,-1,855380,-1,-1,681281,-1,-1,-1,67487,326438,271309,-1,-1,347471,960314,-1,-1,73407,-1,802312,-1,-1,-1,227881,119597,-1,984435,-1,700430,248116,701178,645287,-1,789888,693699,-1,543108,755461,-1,453517,-1,355948,438106,-1,-1,-1,-1,411620,-1,115485,235992,284364,949339,-1,256751,103856,-1,830859,523475,-1,-1,-1,-1,357394,640188,-1,-1,887108,948328,-1,415283,-1,-1,-1,883798,123350,38105,449577,-1,396986,301492,912826,-1,-1,-1,-1,369253,-1,931113,67088,167239,-1,-1,-1,-1,70578,-1,-1,-1,-1,-1,20247,734998,650939,394325,-1,343071,-1,591063,-1,-1,-1,350733,465111,-1,825000,470246,683583,187040,-1,966988,652811,-1,794682,453100,58444,-1,-1,-1,-1,419660,-1,897139,-1,906942,788983,-1,491142,502392,271971,619384,-1,65345,-1,-1,-1,200280,661388,-1,-1,-1,-1,186050,223659,513820,-1,-1,506340,-1,-1,-1,-1,-1,-1,-1,-1,-1,453856,693948,805519,698366,280569,546384,606533,927275,-1,559358,-1,-1,586255,-1,41741,-1,246488,-1,998523,64466,955155,523330,568377,571731,246674,951197,50006,808587,116475,-1,474822,853816,570839,-1,769018,170417,-1,-1,-1,28103,129574,768658,207114,-1,168332,142959,-1,199781,-1,-1,773365,-1,582603,-1,-1,921224,-1,-1,-1,-1,-1,-1,512097,-1,-1,-1,-1,-1,328250,-1,206192,-1,499788,272780,905290,532695,63995,618363,105799,332249,-1,-1,666276,872159,-1,-1,115959,572391,-1,971581,-1,488820,57804,110553,81340,572452,860501,87549,-1,-1,-1,579933,741427,-1,-1,692136,890073,-1,201544,-1,-1,665674,-1,-1,283662,201510,-1,-1,-1,181367,-1,-1,-1,-1,-1,142874,212614,162148,992596,460770,-1,-1,-1,212550,-1,-1,580418,752389,336554,439980,-1,155964,860269,-1,-1,335615,435627,735620,799766,-1,80848,181143,364410,996589,724074,-1,969686,340968,-1,-1,-1,-1,702769,471711,619576,778797,-1,332440,-1,725980,655481,699237,681846,429675,48069,-1,754330,-1,132279,-1,764593,-1,304706,-1,-1,-1,-1,-1,-1,442903,-1,511043,420099,-1,-1,-1,-1,-1,-1,215948,-1,231783,-1,657559,-1,-1,673913,-1,-1,438291,-1,819134,-1,-1,42645,112346,-1,455297,737736,-1,86726,-1,-1,652384,-1,764517,657093,467747,515549,696092,977418,427448,-1,5625,145745,156424,100155,-1,-1,981181,-1,468418,-1,418590,-1,175787,-1,634024,3827,-1,678342,556612,-1,-1,-1,-1,-1,-1,390012,682018,379470,-1,498427,-1,-1,-1,697556,380639,620903,-1,926699,-1,-1,57730,-1,-1,-1,-1,438134,831718,624715,505265,231753,-1,699239,216166,865870,-1,-1,-1,591136,-1,873275,498818,649555,472576,165141,-1,-1,570281,774333,813526,97020,-1,-1,528912,-1,-1,560223,-1,-1,572144,-1,-1,475310,-1,-1,491922,218769,-1,-1,432191,501597,-1,195161,-1,615704,917495,778747,-1,834785,-1,54437,737585,-1,864695,-1,-1,513348,-1,408012,947526,-1,-1,474480,617784,-1,897563,467385,-1,-1,-1,-1,337272,99875,-1,-1,-1,-1,714793,839049,-1,18152,-1,-1,692841,982161,846634,-1,973921,738075,-1,207268,-1,417817,-1,982837,-1,888524,485812,536215,-1,-1,-1,698649,864507,-1,-1,-1,-1,483636,-1,-1,-1,-1,-1,742371,-1,-1,-1,103195,-1,-1,-1,153911,620420,-1,758561,985492,-1,79907,848657,980213,177052,-1,-1,18381,-1,-1,-1,325285,518,-1,724394,-1,-1,628225,-1,448017,-1,761998,755316,443339,88121,80603,-1,-1,-1,687490,820406,136634,-1,105237,-1,-1,-1,-1,937844,-1,-1,-1,-1,844919,-1,359822,83420,-1,-1,396040,-1,30537,-1,-1,-1,173936,469737,707501,-1,405652,-1,-1,874113,-1,-1,-1,-1,509263,514650,-1,-1,101412,434240,-1,250694,885912,-1,647216,177378,-1,940941,746741,-1,824379,-1,-1,-1,-1,-1,137614,-1,-1,588014,-1,618247,113749,-1,-1,-1,-1,721809,-1,-1,-1,916477,-1,870455,700655,-1,637028,987331,548326,-1,-1,383569,-1,-1,-1,251773,-1,43968,344030,138575,927169,84886,-1,655489,752693,-1,-1,347455,-1,760477,-1,-1,-1,-1,2523,-1,-1,-1,-1,947193,909857,259656,-1,-1,88079,-1,872736,403622,864304,-1,-1,196889,-1,-1,312217,-1,-1,666200,442807,-1,-1,194304,847487,-1,-1,-1,709260,851902,820833,894197,-1,732385,484468,-1,-1,224746,892254,128343,655945,467451,-1,-1,-1,-1,203437,-1,-1,-1,843094,313379,-1,-1,-1,-1,-1,-1,-1,-1,477747,776138,-1,-1,-1,-1,-1,-1,-1,505781,-1,607196,-1,327265,-1,-1,-1,847549,-1,349353,328517,342534,437606,655788,-1,-1,784151,947097,-1,486262,-1,226959,405753,114781,907814,-1,21147,930293,-1,758639,-1,-1,790864,276365,285846,273304,838035,-1,-1,617692,-1,468534,-1,-1,-1,278030,349045,104385,-1,494468,361823,524156,879450,-1,-1,-1,-1,-1,-1,-1,-1,427428,-1,-1,-1,-1,-1,-1,55051,630251,-1,146771,-1,-1,-1,-1,395630,-1,399856,636967,976650,-1,376123,-1,662980,-1,505268,-1,-1,116026,747937,-1,-1,-1,242121,129663,782097,-1,-1,-1,-1,-1,-1,-1,328926,-1,203945,865615,365186,-1,549483,952500,28802,1654,993659,-1,-1,643374,-1,298215,385062,-1,-1,-1,72588,-1,631251,-1,356364,258567,-1,491559,-1,980265,-1,-1,35118,429421,497998,-1,740622,-1,340072,-1,-1,492631,-1,-1,-1,59585,449402,249884,-1,-1,-1,-1,-1,974317,-1,-1,-1,520199,-1,-1,-1,-1,-1,443332,-1,-1,608164,-1,-1,-1,746420,168907,-1,-1,-1,955808,594038,733639,-1,571686,-1,812279,-1,-1,-1,-1,379009,-1,-1,464540,-1,-1,-1,764504,-1,-1,160206,476838,881520,-1,655326,109148,843311,-1,-1,234946,-1,123518,899235,930507,351730,947771,534556,-1,-1,876691,737188,-1,772634,-1,-1,655019,-1,247953,-1,-1,-1,100110,-1,-1,155437,-1,-1,804902,-1,-1,-1,222478,139062,297187,61392,-1,430811,-1,287160,115143,-1,-1,229736,-1,-1,728924,404438,-1,271412,-1,392770,572280,889685,-1,960923,-1,678374,876970,903562,-1,466973,-1,-1,-1,36175,-1,102003,-1,731269,760866,282786,-1,544451,362250,-1,773683,58539,-1,620036,106522,-1,-1,-1,-1,650721,174786,-1,-1,876908,869928,33110,913108,-1,338032,575438,-1,-1,706044,196614,695624,-1,642232,944774,-1,891977,773832,-1,504055,753333,735505,550059,-1,-1,368497,61266,265495,-1,-1,113571,320028,923709,124052,290041,26049,-1,425276,-1,-1,-1,-1,60880,193802,-1,222011,-1,-1,100321,-1,-1,829331,-1,-1,109211,-1,732633,-1,-1,-1,152062,806541,459857,732451,-1,-1,204064,-1,-1,325333,908651,184262,388189,-1,45039,591056,562994,645758,616691,-1,-1,913131,989349,946754,-1,-1,-1,439139,-1,559270,-1,-1,808719,385091,-1,-1,-1,-1,-1,-1,976339,342233,494919,-1,652732,540193,296489,-1,-1,498809,-1,557289,591395,-1,300675,-1,393852,208834,244368,150251,375859,993443,88254,-1,186984,746889,181679,-1,834786,642995,372270,543795,-1,-1,407813,-1,712924,679893,-1,-1,39199,-1,278252,699532,148665,282487,49312,42722,-1,323017,749222,-1,-1,304565,-1,78206,133056,436988,869481,-1,706282,-1,-1,537224,-1,575180,-1,732608,346315,-1,212292,6958,-1,218560,-1,-1,779724,-1,-1,164746,-1,-1,-1,-1,-1,-1,-1,906320,8891,871233,-1,323821,-1,-1,-1,550893,719903,98838,-1,821091,-1,254841,789560,247317,744688,191285,-1,751607,-1,29637,-1,-1,-1,478858,839404,-1,-1,753702,-1,640120,-1,-1,-1,157873,366141,715109,478265,556853,303800,781893,-1,819650,231794,923004,640212,270728,413307,603147,974951,-1,-1,558700,908874,-1,-1,-1,-1,187176,926441,-1,-1,632029,-1,994429,440841,-1,709191,-1,96472,-1,-1,959643,773368,-1,-1,-1,-1,-1,-1,129846,-1,834521,-1,839420,-1,-1,721143,16239,722998,-1,-1,-1,683710,100793,900480,173652,900859,-1,589979,-1,451955,727855,581921,272112,-1,-1,280866,-1,-1,-1,-1,-1,-1,-1,-1,-1,316740,-1,-1,-1,17760,-1,-1,-1,605934,-1,-1,-1,845907,-1,623745,-1,-1,-1,-1,540740,-1,-1,310527,-1,-1,65355,307580,894506,-1,877132,-1,-1,891122,-1,169563,-1,617315,514911,-1,-1,48336,-1,-1,-1,-1,497133,304877,80565,-1,-1,490793,-1,-1,176626,559346,773570,-1,912753,-1,-1,-1,5177,-1,585019,14830,870496,-1,956244,405562,504770,206715,305743,869791,-1,-1,805535,-1,-1,-1,-1,50255,624747,178482,-1,-1,-1,-1,483259,288475,764144,-1,825206,190079,-1,86955,-1,-1,-1,218191,-1,453778,-1,910785,-1,-1,104212,-1,723692,-1,-1,-1,583811,-1,592443,971928,729758,381140,-1,-1,-1,58776,-1,-1,-1,53830,-1,729950,-1,-1,258042,-1,-1,-1,-1,-1,567231,642729,226313,-1,493060,-1,-1,688653,757,-1,342469,-1,-1,-1,-1,988507,-1,-1,-1,-1,-1,-1,206647,714108,33108,716122,293134,947900,-1,-1,-1,-1,-1,-1,137151,-1,901368,-1,707224,-1,-1,-1,826908,-1,-1,-1,539357,-1,-1,468131,-1,878195,206311,708909,-1,494058,-1,-1,417596,410577,-1,849931,-1,-1,247465,26632,-1,-1,-1,956542,242450,189789,519914,479115,266357,-1,-1,146185,-1,-1,-1,939417,204973,-1,491492,644007,472134,992338,-1,-1,-1,966873,52229,-1,-1,200460,-1,-1,-1,-1,-1,940769,-1,-1,-1,-1,902301,-1,117920,-1,127039,-1,-1,66461,137872,-1,899978,-1,130785,351574,-1,603236,-1,799913,899302,-1,288935,582187,-1,539586,512068,616636,544682,116292,445569,-1,464665,284010,215708,-1,-1,382993,-1,-1,-1,255909,-1,704050,666086,885256,455246,841876,697539,972695,493007,-1,870696,-1,-1,-1,205731,697753,881913,486279,-1,378105,-1,232437,383888,-1,-1,-1,-1,360729,967629,775579,146749,81434,953368,-1,-1,-1,-1,-1,215503,-1,704569,416343,773086,879546,-1,993394,-1,-1,792733,-1,-1,15870,-1,184626,-1,-1,-1,319461,752658,-1,-1,-1,-1,130430,-1,81302,686090,-1,533205,-1,-1,889070,-1,83779,44794,753213,-1,-1,-1,-1,-1,-1,858491,481366,-1,940787,-1,736106,-1,3040,-1,-1,-1,37537,63745,523902,684605,-1,948535,778819,-1,-1,683681,-1,285582,-1,907534,724313,-1,-1,106403,171523,247535,790929,712440,628705,-1,-1,823645,-1,488496,-1,-1,-1,360505,-1,547739,-1,394749,-1,773306,-1,533242,-1,548217,-1,381721,210536,-1,-1,237175,162638,619366,-1,-1,-1,646850,-1,640479,-1,-1,-1,-1,373335,273778,560814,16828,-1,185377,976482,-1,-1,-1,483511,-1,963920,989034,42117,-1,-1,-1,93865,992746,-1,986340,705948,893578,-1,-1,56560,-1,-1,-1,560334,571847,-1,-1,411760,179552,304388,753125,-1,-1,-1,-1,198802,783193,-1,582494,-1,-1,-1,-1,-1,-1,14862,-1,-1,-1,970641,-1,-1,643201,-1,-1,379224,986799,404441,951075,-1,-1,-1,-1,-1,-1,-1,-1,847863,774584,213458,-1,37262,-1,-1,259699,173511,886286,432552,-1,553264,766547,326396,71880,387268,345928,-1,-1,978737,997220,36857,906901,-1,125935,848894,-1,219037,-1,-1,-1,-1,-1,849155,-1,798982,-1,-1,-1,-1,804002,920013,-1,-1,797978,248656,734720,607625,356256,-1,713892,777262,-1,-1,-1,836077,529092,929298,-1,53285,18825,863683,-1,-1,550468,-1,72800,210334,-1,474357,-1,469000,-1,149380,-1,973696,-1,957090,-1,-1,505307,557618,-1,-1,-1,-1,-1,973121,-1,762491,180299,865790,603102,909196,-1,964536,350315,788102,-1,746032,172637,-1,158382,42354,-1,207417,671811,505017,929331,883890,303481,-1,347734,658354,817692,-1,746671,506296,909353,487110,241783,445821,823389,-1,-1,-1,77838,120122,272110,-1,963548,-1,-1,-1,739739,719586,48561,-1,486550,-1,-1,913944,801483,28765,198766,396645,829597,-1,-1,-1,719233,873369,-1,-1,71521,-1,-1,-1,268868,455344,-1,-1,626650,-1,656918,484874,-1,-1,457131,499330,-1,253321,671739,-1,10908,-1,105825,431962,-1,-1,-1,1426,247987,-1,703088,595690,-1,446674,773588,-1,-1,359755,-1,588960,697178,-1,-1,-1,694674,-1,-1,728690,24678,-1,842609,833464,-1,-1,-1,-1,-1,-1,-1,-1,-1,133350,-1,623805,-1,-1,-1,-1,-1,-1,-1,132846,-1,781140,511821,-1,-1,12889,22890,-1,-1,-1,435576,213413,-1,934169,547478,-1,382493,366709,-1,-1,-1,323232,-1,801139,-1,278509,552231,741869,-1,844009,382682,299570,-1,193603,969626,-1,-1,-1,286160,-1,-1,-1,-1,-1,-1,33033,-1,-1,482477,-1,-1,-1,579419,-1,-1,-1,599001,-1,104757,-1,786257,-1,-1,-1,424132,-1,-1,-1,333887,-1,-1,-1,119110,-1,993470,197664,-1,-1,409461,-1,81741,400512,-1,39837,102726,-1,592274,970990,-1,998153,-1,911916,-1,-1,106515,-1,-1,-1,-1,-1,362004,-1,-1,960435,175076,822639,609504,940546,217938,463061,716465,-1,689659,-1,182251,-1,-1,-1,859232,7979,254876,809139,-1,-1,-1,317789,-1,-1,679143,-1,477923,-1,-1,741189,-1,286238,-1,409237,984923,216021,361521,-1,738849,120987,-1,-1,37240,461104,-1,-1,-1,-1,-1,929735,387161,-1,-1,586087,-1,883011,945042,820364,840193,42271,769987,-1,-1,351513,371838,198216,-1,-1,36903,353252,433177,244824,702096,-1,-1,-1,196448,-1,-1,-1,281016,-1,-1,924736,-1,-1,-1,-1,505517,-1,638771,592750,-1,-1,584032,-1,826390,-1,-1,-1,-1,60867,217876,548979,983630,-1,-1,567805,447009,360669,-1,-1,-1,-1,-1,-1,434616,628836,373812,778182,713489,-1,680969,-1,-1,87758,-1,-1,-1,-1,498881,781307,242444,-1,848216,-1,285630,-1,-1,905242,-1,642318,823245,-1,714130,-1,-1,-1,-1,-1,-1,980321,-1,542550,753696,-1,-1,-1,-1,-1,-1,-1,288791,908383,-1,-1,673910,428847,-1,-1,409417,908020,785681,653307,-1,108207,248744,775081,693620,210922,-1,-1,-1,683206,-1,525155,491851,-1,-1,-1,622924,855229,-1,-1,911001,-1,-1,-1,-1,570781,-1,-1,830362,-1,756124,133253,-1,-1,-1,-1,-1,507703,-1,-1,222653,-1,373225,-1,391858,-1,-1,-1,-1,666396,-1,-1,-1,-1,618350,-1,833976,-1,911479,465414,466030,-1,351284,408211,-1,924572,-1,-1,582822,782179,-1,973321,-1,-1,756443,763432,-1,-1,-1,888061,79239,-1,763757,-1,320487,-1,-1,-1,204054,703645,982148,833412,864476,-1,-1,-1,-1,742411,30646,-1,-1,-1,-1,138836,-1,-1,330595,770784,-1,-1,-1,7932,-1,-1,-1,145390,765951,-1,-1,-1,542845,-1,464394,858902,-1,120909,306582,-1,-1,-1,779234,919565,-1,-1,378483,-1,272405,216476,-1,415868,-1,369307,-1,-1,-1,-1,401987,389919,-1,-1,-1,-1,93488,536569,-1,728945,654485,294355,-1,-1,-1,331793,271357,945571,-1,-1,965063,650128,38034,601449,-1,-1,-1,-1,-1,942194,-1,-1,161977,-1,519743,709809,873113,94018,657681,-1,-1,-1,531494,348093,899598,111930,339160,-1,224467,108636,443796,105982,-1,-1,18511,206101,-1,-1,278783,-1,902953,-1,-1,-1,-1,-1,703117,-1,267758,-1,-1,-1,465654,189125,-1,-1,590531,-1,915919,-1,258059,175984,617796,-1,-1,-1,602656,-1,859738,-1,-1,-1,-1,55545,964309,474640,955071,393713,-1,684610,271091,496001,-1,-1,-1,-1,180286,756172,491445,140483,-1,351080,-1,-1,-1,726914,-1,451921,74966,719269,-1,668812,129762,-1,870999,754773,290237,879482,256216,420425,-1,-1,22355,857109,-1,316165,620758,479177,915591,29267,547804,-1,875937,-1,705041,-1,180088,388752,349918,717008,-1,-1,-1,-1,-1,468844,-1,304681,-1,65879,65928,721381,-1,988567,842842,-1,-1,-1,672347,-1,-1,-1,-1,444233,-1,795473,795698,765398,-1,-1,-1,-1,-1,687995,-1,-1,-1,-1,-1,-1,-1,582251,231496,818831,-1,-1,-1,-1,-1,-1,626442,-1,988238,-1,-1,-1,-1,-1,484423,831936,-1,-1,932591,648238,72680,978863,-1,-1,797190,-1,703658,-1,105256,211577,183955,-1,-1,327206,-1,-1,49513,50358,-1,-1,448377,425467,-1,-1,-1,895022,617703,581465,-1,-1,-1,844997,-1,576843,-1,-1,324427,426979,-1,-1,305768,-1,544337,-1,-1,313482,197662,-1,372031,318648,-1,330996,-1,720169,-1,-1,-1,-1,459528,719339,-1,-1,9344,299794,26693,-1,-1,-1,604585,-1,572309,-1,202632,712349,-1,-1,388531,751699,753305,297730,-1,-1,-1,764564,505317,-1,231067,395330,-1,236224,-1,28423,137740,598316,-1,675444,688611,680813,-1,-1,-1,337552,-1,-1,402282,117093,-1,663196,197973,748229,217570,-1,-1,529460,937893,914304,-1,182862,480341,-1,-1,-1,-1,134828,615229,633664,-1,242621,138243,753796,-1,191616,-1,-1,-1,-1,935953,-1,558572,814554,-1,-1,-1,-1,431418,555014,700056,-1,-1,-1,359948,596610,230140,-1,-1,896195,899076,-1,-1,304365,749227,712141,247971,553313,719600,120525,896703,-1,-1,-1,649939,631751,-1,322778,50476,-1,91798,10836,432475,407183,824985,-1,-1,-1,772612,674354,-1,-1,410206,598470,-1,-1,-1,-1,-1,518928,613966,526780,936558,873249,-1,994344,-1,-1,-1,862865,619659,816195,435980,950862,779027,-1,-1,128047,849997,558703,-1,545687,-1,931031,878111,242247,-1,437054,-1,772805,763831,98041,-1,517882,885293,-1,-1,-1,958373,-1,334168,497033,665883,587859,-1,314832,230449,698202,804258,283463,220632,783852,-1,752211,-1,-1,-1,-1,-1,405832,-1,586143,-1,92408,281061,-1,-1,519762,-1,673203,817810,993852,282326,-1,423738,540951,-1,-1,744462,-1,-1,13232,-1,360700,-1,-1,609876,126187,169647,-1,648086,-1,-1,812316,-1,101460,-1,-1,725470,450609,816283,-1,960341,-1,-1,-1,-1,-1,868665,347539,-1,-1,-1,654630,433207,736204,750724,-1,718088,589963,66742,-1,750608,-1,518130,321438,309622,-1,-1,573244,949820,-1,66152,527813,-1,-1,676092,742307,-1,361446,531563,-1,395358,760398,678052,769944,746430,370606,335021,767290,-1,35724,630681,-1,-1,-1,355162,-1,809089,-1,688052,24713,-1,-1,-1,-1,-1,-1,365709,-1,-1,-1,-1,497157,-1,563248,161511,-1,-1,-1,349421,691510,-1,-1,-1,753054,-1,-1,433005,-1,181537,644619,849514,342921,399908,139880,-1,649439,-1,619997,362961,-1,532760,-1,-1,956762,-1,-1,-1,-1,153706,431262,-1,867482,-1,-1,498409,-1,850097,-1,-1,682253,704084,-1,-1,-1,609337,-1,31878,-1,-1,370840,-1,864101,-1,639822,-1,-1,34941,66987,351830,671772,-1,6630,-1,-1,-1,-1,809419,905485,-1,-1,-1,79993,947123,-1,-1,958566,-1,340040,-1,842637,513074,136720,14322,-1,372317,-1,797105,-1,-1,998118,668942,541074,-1,-1,413270,925353,988674,262314,-1,229813,-1,776533,480862,-1,646272,-1,-1,17527,994812,223077,625217,337389,-1,-1,-1,160752,718755,-1,-1,743043,449252,911437,552161,-1,912766,-1,97272,-1,-1,132281,566253,-1,-1,-1,295127,-1,873625,-1,183561,-1,189478,-1,419147,-1,-1,196592,665950,261949,-1,-1,101531,273655,-1,-1,267301,-1,-1,583466,146774,885700,772825,756493,-1,-1,-1,-1,192207,678838,-1,644182,-1,-1,-1,-1,672895,-1,-1,-1,304507,-1,-1,79505,145500,936103,-1,-1,-1,239076,-1,671891,27752,-1,143395,940802,362156,396343,543840,335193,438480,935969,678764,990988,-1,-1,-1,-1,-1,-1,-1,795313,910605,29766,812464,-1,-1,231052,427671,212242,660270,-1,-1,-1,425003,-1,798546,953498,630494,-1,-1,-1,-1,-1,-1,-1,-1,433614,-1,-1,-1,-1,872274,-1,-1,-1,-1,410940,-1,686229,442514,-1,-1,-1,-1,732146,147998,-1,-1,-1,161577,-1,-1,307682,-1,792777,681150,-1,122064,676184,-1,142887,-1,572954,850783,597404,742665,-1,-1,-1,295221,-1,-1,-1,637175,-1,-1,683043,857921,90671,329179,-1,-1,973886,-1,760039,-1,-1,996215,825402,-1,362692,-1,906730,-1,-1,815062,676290,-1,-1,319074,329453,387618,-1,-1,480402,-1,343605,-1,413626,519156,-1,-1,396048,-1,-1,271135,-1,-1,-1,-1,-1,535977,-1,67152,414145,480616,694866,-1,20116,70071,-1,-1,873043,651404,814976,13002,-1,878052,488827,-1,-1,461293,930796,-1,38164,-1,161063,253872,-1,412445,496247,368795,-1,-1,404641,-1,-1,-1,-1,314437,-1,648325,502140,984807,-1,250351,971279,-1,-1,700879,-1,-1,-1,-1,438746,-1,377207,121333,-1,12458,395785,-1,-1,415545,-1,101192,582971,118702,-1,545941,220565,-1,492058,700989,-1,472460,-1,779612,-1,-1,513581,-1,748514,-1,361640,527670,741753,-1,826712,-1,-1,707340,-1,-1,-1,-1,673954,38979,77272,285144,-1,691529,384380,-1,-1,-1,771105,587200,-1,-1,-1,-1,25988,387577,106714,831634,-1,-1,793605,-1,-1,-1,84441,938175,-1,6940,-1,50372,-1,-1,-1,876372,22695,-1,-1,-1,166522,-1,968166,658245,-1,616244,-1,72936,54477,-1,-1,-1,-1,386859,-1,-1,527319,-1,-1,-1,-1,-1,505520,719005,-1,-1,-1,279289,-1,975047,643189,-1,-1,906305,-1,337836,-1,-1,-1,599934,567183,-1,-1,153394,-1,-1,-1,-1,-1,77886,502158,-1,-1,763767,-1,-1,-1,137040,962424,103448,969235,701082,556795,186934,-1,588588,517767,-1,-1,-1,66924,262859,-1,-1,-1,443729,-1,674099,-1,322040,-1,-1,896074,-1,227898,-1,150295,-1,415364,916697,680341,-1,-1,-1,332498,577664,-1,538605,548604,-1,710904,180077,-1,920417,-1,-1,26256,513381,-1,-1,-1,194024,-1,411302,-1,-1,-1,625433,831019,905068,7142,524829,-1,371458,611156,312124,130643,651579,127406,-1,425071,-1,-1,46438,-1,106251,506865,-1,274011,419579,-1,-1,-1,-1,764871,558397,20692,-1,-1,866513,-1,-1,-1,597762,-1,165031,527764,-1,-1,-1,-1,-1,-1,-1,307056,-1,-1,-1,-1,-1,-1,-1,625548,757470,-1,-1,-1,-1,413780,-1,37200,388016,100369,-1,-1,492837,-1,740296,-1,865306,-1,-1,594728,-1,766176,-1,-1,701156,-1,12323,-1,410963,530350,-1,-1,-1,558255,-1,496515,776885,49377,495782,187290,-1,-1,-1,-1,-1,457397,318263,663326,338636,-1,981945,-1,472810,769445,682935,-1,440665,638250,231164,661331,-1,-1,959145,-1,-1,980050,-1,-1,-1,629003,-1,-1,-1,-1,666454,-1,-1,861995,488812,-1,945091,-1,234882,-1,370795,-1,236161,-1,-1,30062,407708,546556,-1,885210,-1,587005,614072,-1,-1,593670,-1,-1,380271,704512,23859,-1,-1,430673,-1,-1,-1,762078,-1,-1,873957,193385,122814,49885,187259,584158,974628,-1,865696,211550,635155,-1,-1,174529,-1,146548,-1,-1,-1,702947,83100,-1,-1,728306,82206,742413,-1,396939,428441,836279,-1,573593,-1,-1,-1,-1,-1,-1,-1,-1,262861,121042,-1,-1,-1,325167,457481,309544,-1,-1,-1,-1,-1,860636,-1,513796,-1,190195,206102,907750,319785,-1,-1,662189,903573,712169,-1,-1,-1,-1,377658,494774,504277,861601,235791,420505,-1,581025,234401,999013,215523,-1,-1,-1,396278,-1,265279,192145,-1,799068,939538,-1,-1,346391,850916,-1,652071,688969,797788,-1,-1,82584,-1,776936,-1,134318,769005,-1,-1,817264,-1,257174,947746,268483,-1,-1,-1,-1,-1,-1,324018,-1,515693,-1,-1,144690,-1,-1,902536,61520,211980,625142,386400,960979,-1,980964,-1,-1,-1,-1,-1,246712,-1,-1,653347,-1,-1,-1,21531,-1,-1,138936,313620,529350,380806,767982,-1,-1,-1,351937,-1,-1,-1,-1,-1,-1,740732,800294,224592,991357,900896,833605,546943,46389,713559,284604,-1,-1,732144,-1,-1,258252,844512,847151,-1,33620,-1,-1,-1,-1,-1,675198,-1,-1,621787,-1,78075,247478,359002,915458,514957,-1,277995,458236,-1,199973,137204,735642,-1,-1,473592,-1,713866,323469,-1,744849,-1,477624,340110,-1,531976,-1,253346,56117,-1,-1,-1,-1,-1,223855,-1,-1,-1,-1,-1,-1,-1,-1,367449,-1,-1,654241,572824,71113,-1,801634,-1,-1,564252,879672,451967,475643,543574,-1,-1,-1,339781,794324,769069,-1,-1,-1,-1,128821,-1,-1,-1,579450,-1,905897,110942,-1,-1,-1,-1,187604,241200,972602,-1,-1,356419,-1,-1,308929,541806,-1,-1,-1,-1,-1,-1,726660,32624,-1,-1,-1,887762,-1,289003,176010,-1,4384,-1,-1,-1,-1,-1,-1,167385,-1,508881,-1,-1,-1,882939,76130,395815,-1,-1,98025,763423,310063,651905,-1,831496,-1,445311,304011,257086,-1,625163,-1,-1,841411,-1,-1,-1,-1,631327,-1,803750,-1,-1,-1,758231,895427,397525,-1,-1,-1,-1,-1,-1,214774,239567,-1,505297,785965,-1,197107,967363,-1,220322,-1,-1,-1,948021,-1,-1,-1,978505,-1,697489,87713,-1,841084,-1,-1,200983,-1,-1,-1,64414,718543,845127,-1,79468,436210,-1,-1,739078,-1,863251,211187,-1,405361,413717,-1,-1,-1,-1,-1,442457,-1,109602,-1,-1,-1,547465,-1,580412,-1,728514,279297,619742,526739,40728,645727,-1,836635,-1,-1,-1,30567,-1,-1,100114,225485,121952,-1,-1,109265,-1,266890,778958,99299,-1,589226,-1,344564,510806,968497,-1,247774,-1,380327,-1,371638,898261,-1,577738,-1,828659,-1,-1,236853,220674,153537,525573,-1,-1,557465,-1,-1,443125,-1,-1,238778,-1,-1,862700,269918,-1,442067,-1,-1,-1,876812,-1,845671,43431,-1,-1,384322,-1,-1,-1,-1,742090,-1,-1,207155,-1,288404,-1,-1,305235,-1,48060,-1,-1,-1,524246,-1,124479,191706,-1,996311,393266,-1,458591,-1,-1,-1,-1,-1,-1,866435,820916,902627,-1,653746,-1,159870,399188,-1,696370,-1,17363,-1,205074,-1,-1,945981,-1,791131,-1,463235,-1,-1,-1,-1,-1,-1,-1,-1,798702,925877,26492,-1,-1,124408,-1,737512,396143,-1,851850,90558,368278,220355,777937,918885,704837,-1,-1,748197,-1,713850,309220,-1,-1,868588,-1,719148,-1,88449,843061,-1,2017,309326,679019,-1,225562,-1,363081,-1,629833,-1,-1,-1,-1,73917,337692,-1,959991,-1,426918,-1,-1,-1,331334,-1,-1,-1,187802,88902,572392,396454,-1,260896,389226,807077,579643,-1,376466,114345,-1,336405,-1,244663,-1,-1,-1,198503,-1,686230,-1,700641,191586,170972,861404,584717,-1,94700,109037,180403,196572,-1,-1,-1,-1,-1,-1,541644,213327,240447,-1,432950,226462,-1,-1,-1,-1,-1,718078,200262,323823,-1,-1,6025,645340,859003,301953,-1,-1,896792,-1,410208,18203,-1,-1,-1,68690,420273,804159,217807,-1,-1,545165,-1,-1,-1,709991,-1,-1,815575,-1,619655,637926,-1,-1,347242,-1,783696,-1,891954,-1,-1,-1,56728,15802,732424,-1,-1,-1,-1,-1,861832,590939,864197,-1,-1,-1,334354,-1,-1,728898,4422,-1,678956,-1,-1,-1,-1,-1,754049,903381,-1,-1,-1,963761,-1,-1,-1,-1,-1,-1,440077,843804,119773,438017,872960,564750,-1,669106,-1,-1,-1,119225,310215,100480,-1,-1,-1,696978,644176,697332,14445,844789,-1,-1,-1,-1,124445,-1,-1,-1,233505,-1,266366,188226,587083,693843,-1,490913,649698,493610,582724,-1,792879,869110,-1,-1,725076,-1,577414,535545,200965,708026,808908,144247,-1,-1,-1,939341,244215,-1,39785,485426,86820,146284,589084,-1,-1,-1,-1,809334,-1,-1,456347,-1,-1,192237,-1,-1,960026,-1,419270,-1,-1,291086,-1,583615,923510,-1,-1,-1,-1,950750,-1,-1,-1,-1,-1,-1,-1,958413,222405,-1,-1,-1,-1,338165,789079,-1,-1,-1,-1,762671,-1,50015,-1,-1,427007,-1,887325,574990,664856,789688,-1,271353,102543,-1,-1,716132,741227,818474,-1,-1,-1,-1,-1,43459,598192,-1,-1,489683,217647,-1,-1,272411,-1,87602,-1,-1,65191,-1,627956,-1,663393,-1,-1,-1,938971,104759,-1,844501,-1,428166,-1,-1,-1,382985,-1,-1,68707,230186,-1,-1,-1,-1,494668,562661,700131,210430,670686,595679,-1,-1,952477,868799,683,-1,-1,19845,790379,-1,-1,892385,-1,-1,-1,-1,946815,-1,564592,-1,559054,-1,-1,-1,279857,-1,-1,19710,-1,-1,964068,-1,-1,-1,-1,-1,196633,5215,-1,-1,-1,237021,-1,-1,891761,-1,-1,-1,313345,223149,217341,-1,783478,-1,958203,-1,-1,931533,-1,612627,-1,859942,350030,913380,-1,187073,-1,-1,-1,-1,-1,-1,629301,-1,-1,638449,964444,374664,119841,-1,-1,86743,816653,780343,943871,90241,-1,-1,-1,-1,243464,929203,817304,169970,562628,-1,497355,437511,-1,-1,223448,-1,-1,695389,-1,-1,-1,-1,-1,670974,-1,860536,982909,738257,-1,754431,216293,292477,630901,-1,359862,343691,-1,-1,-1,-1,946752,886789,295899,780349,58674,887131,-1,423900,570271,353034,-1,298386,91897,308375,-1,135160,846562,-1,-1,-1,587951,534972,976331,589283,-1,736674,232568,550418,-1,307859,-1,-1,-1,-1,-1,626349,-1,-1,967275,-1,383671,-1,-1,13669,338718,182129,514008,561836,768364,79305,-1,-1,107618,-1,-1,631156,240731,-1,300237,825835,-1,321641,682630,228563,-1,817054,-1,-1,-1,-1,-1,892366,-1,-1,595183,846536,-1,-1,-1,-1,-1,569696,-1,-1,-1,-1,-1,-1,-1,322164,-1,54612,703795,86032,-1,797435,-1,583994,990147,-1,-1,66958,-1,141333,696643,176119,-1,259566,-1,415190,-1,-1,870709,-1,-1,796190,17594,693665,72264,749311,-1,-1,150564,309515,-1,883000,64247,-1,-1,-1,275168,366571,236608,-1,427302,371334,-1,134497,-1,433043,-1,-1,449707,-1,-1,452521,-1,409185,-1,366867,-1,144769,850065,137875,-1,-1,387400,134708,636510,-1,161173,775336,698834,-1,971930,-1,574738,-1,16363,-1,194540,-1,448890,699874,-1,-1,539381,-1,-1,-1,77243,-1,677291,245403,-1,-1,-1,-1,527112,-1,63463,-1,-1,-1,-1,673812,737228,626121,-1,80599,281654,-1,719513,-1,943261,-1,-1,895174,812548,-1,-1,-1,-1,-1,-1,78630,245426,-1,374851,-1,-1,-1,722917,-1,723002,386199,-1,322902,833115,193433,-1,-1,930958,-1,-1,353178,670697,-1,884815,-1,-1,-1,396097,-1,-1,806270,596118,-1,748339,-1,266012,-1,435970,-1,50801,-1,293450,34842,430283,680963,-1,-1,-1,237564,-1,299749,-1,894465,-1,482627,-1,-1,685359,188010,-1,569960,-1,438198,994469,-1,138756,-1,822525,997140,840733,879248,-1,869193,-1,987737,-1,721263,817527,-1,-1,-1,590047,61492,-1,-1,-1,-1,583943,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,914368,566171,373532,-1,959148,826494,593183,-1,-1,-1,931134,652703,47249,840123,-1,-1,-1,652053,969146,-1,811869,508970,-1,644465,-1,24698,-1,-1,655002,-1,-1,-1,380370,889813,-1,-1,-1,681371,-1,-1,-1,-1,-1,-1,-1,-1,37830,944653,-1,30838,347555,-1,-1,-1,-1,355506,-1,-1,342797,-1,549901,-1,-1,-1,-1,-1,981517,22246,711474,-1,-1,185799,815141,-1,-1,651477,545488,-1,275947,-1,559013,-1,-1,359530,501196,-1,798837,140937,630563,642784,-1,11541,-1,295158,805851,557227,75638,-1,23096,-1,-1,524727,-1,886879,313328,-1,-1,-1,469274,614682,226832,860588,-1,615104,-1,-1,-1,687074,901116,365163,487545,-1,333231,147052,330425,481779,-1,-1,27534,-1,-1,415951,-1,183917,680366,785041,-1,605746,22473,55620,844306,955684,-1,773679,-1,449462,951240,-1,-1,7094,-1,362117,-1,-1,898512,405874,-1,-1,595071,-1,-1,-1,-1,618318,557308,283144,332577,-1,-1,-1,-1,-1,53491,-1,837592,-1,123522,-1,-1,-1,-1,341114,235993,-1,-1,292316,-1,411848,560837,755406,517360,362596,99648,225091,-1,-1,176518,-1,-1,461763,-1,991845,901496,506256,462199,-1,-1,-1,-1,-1,-1,-1,400060,-1,525114,-1,-1,-1,820864,-1,353899,678227,349108,258554,24976,483432,37382,-1,-1,13822,285,392709,188089,930858,72388,372392,673681,908657,-1,-1,571670,479330,163732,-1,453842,632706,806899,680355,-1,234390,32603,114716,-1,-1,-1,-1,8960,-1,-1,-1,206777,-1,744883,474096,-1,-1,415024,185815,161551,-1,295260,769371,142240,783175,871918,143952,-1,-1,-1,262243,-1,325782,-1,-1,792514,835588,950550,-1,-1,894228,-1,-1,-1,524714,450542,745450,-1,612461,-1,519296,-1,-1,-1,-1,-1,-1,38936,-1,-1,-1,830340,250323,473182,-1,295155,-1,-1,-1,812345,-1,-1,-1,-1,-1,-1,-1,952807,-1,89827,11117,772279,-1,940586,651797,450761,161354,-1,-1,575936,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,931859,-1,-1,742872,-1,-1,-1,-1,556623,-1,856975,-1,-1,97540,780017,-1,224082,-1,-1,197792,-1,162783,594740,-1,-1,-1,-1,-1,707424,318163,-1,-1,154521,-1,309784,884409,119054,-1,714942,237973,353962,803860,-1,877020,-1,121227,324757,630624,-1,-1,-1,-1,-1,-1,341256,-1,-1,-1,-1,-1,924628,-1,388321,101887,218621,-1,652774,-1,-1,79914,634749,22224,-1,-1,-1,-1,-1,759174,324693,612772,491742,-1,452863,418006,758920,945544,-1,-1,514883,377734,-1,-1,-1,-1,-1,-1,-1,487581,703229,678558,-1,750381,23577,-1,220059,-1,-1,-1,594890,-1,90190,623904,83950,-1,778226,954185,-1,-1,668399,9374,-1,-1,-1,515501,266733,-1,721646,94925,-1,-1,-1,-1,-1,-1,438792,515537,-1,147821,-1,787091,924440,995873,892565,320361,-1,-1,989641,-1,20312,250021,10684,66955,-1,-1,-1,-1,-1,122589,774830,927229,-1,-1,248841,-1,-1,-1,938229,-1,66856,619627,516724,724031,269033,-1,30703,-1,-1,971497,-1,588322,-1,-1,735613,251875,-1,-1,514794,-1,627999,640887,715633,-1,157492,164739,828400,787000,723256,110670,-1,697702,477267,-1,507923,-1,-1,-1,633783,39185,656626,364350,-1,-1,335015,-1,94425,700171,78966,-1,632329,-1,-1,-1,-1,-1,-1,-1,-1,114901,645928,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,661683,-1,-1,115818,305581,-1,-1,-1,-1,-1,64848,881414,658031,-1,-1,-1,288045,926569,-1,14811,-1,-1,-1,-1,7567,-1,-1,381411,-1,467428,-1,-1,865898,-1,391282,-1,-1,690717,-1,-1,378962,-1,606436,-1,-1,-1,336999,-1,979725,-1,-1,439455,389343,-1,299490,590777,-1,-1,694093,-1,-1,-1,19094,-1,-1,-1,224477,733356,-1,691764,-1,18519,-1,-1,-1,-1,-1,-1,-1,-1,-1,520202,-1,-1,-1,-1,266068,-1,-1,918948,-1,923983,-1,-1,340853,-1,-1,880163,696083,-1,-1,-1,-1,-1,-1,479012,15617,530536,-1,-1,-1,-1,671892,300071,315562,-1,-1,521582,-1,960558,-1,315305,-1,180065,93590,-1,-1,736368,920430,354860,843481,594382,171361,-1,535254,153890,481388,976363,302193,-1,-1,-1,759937,-1,-1,-1,-1,689367,-1,-1,289409,943644,18380,-1,753091,-1,437372,-1,737858,-1,-1,-1,413824,-1,-1,-1,128326,62489,-1,-1,-1,147563,605415,131233,-1,-1,46473,-1,-1,-1,-1,-1,-1,792755,441208,-1,-1,470724,466611,-1,-1,-1,896547,-1,-1,338687,943609,-1,260292,-1,-1,701807,568140,-1,711136,-1,-1,-1,-1,-1,-1,-1,848206,779878,-1,210747,780614,513436,-1,-1,965671,-1,948684,-1,573503,-1,-1,339308,-1,316366,-1,596998,-1,-1,-1,-1,-1,625893,-1,-1,842859,-1,738975,496887,-1,511400,-1,536559,679353,-1,-1,336480,698417,-1,-1,542409,-1,538918,438024,594031,-1,581420,302065,-1,-1,322446,540840,-1,-1,-1,581349,372204,-1,272644,-1,-1,-1,951924,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,810027,-1,356151,768851,810680,-1,685661,-1,594947,-1,452478,-1,179082,-1,-1,-1,-1,-1,-1,424734,920266,944937,-1,-1,-1,-1,687706,-1,-1,968936,-1,-1,-1,-1,730822,888886,751901,-1,-1,-1,-1,-1,-1,583834,-1,446238,-1,789616,-1,-1,-1,479732,-1,-1,-1,-1,532848,-1,-1,439413,170035,-1,64084,12245,167404,58617,-1,905153,575214,806475,-1,43556,-1,-1,256141,-1,-1,802058,975423,306126,-1,842427,621856,-1,-1,-1,-1,-1,371884,-1,764695,-1,563794,991493,-1,18791,227023,2008,-1,-1,-1,196925,-1,-1,-1,-1,163394,-1,-1,-1,81966,992730,638678,-1,710241,-1,-1,-1,456248,960316,-1,514571,-1,-1,454495,-1,-1,-1,-1,-1,-1,-1,995640,921019,-1,-1,-1,747411,108959,266828,407673,759689,153476,-1,-1,-1,-1,613199,-1,-1,426791,486404,471836,-1,271218,-1,246881,342958,-1,-1,348098,151787,-1,76279,-1,585397,-1,-1,988230,662195,637964,924351,-1,-1,-1,-1,-1,-1,-1,231995,-1,-1,-1,136446,-1,68178,968147,640421,-1,-1,-1,-1,-1,-1,923312,-1,-1,-1,-1,134525,142730,535570,566648,-1,457749,968483,130369,515756,-1,-1,611104,932608,-1,-1,622011,-1,-1,-1,-1,-1,-1,-1,-1,-1,134341,216795,-1,793445,-1,637760,869630,601832,838812,158683,502153,-1,-1,-1,110563,220863,-1,-1,-1,164274,-1,-1,-1,563802,-1,370865,193140,-1,-1,-1,-1,-1,649164,272468,281882,-1,361021,-1,-1,-1,-1,948165,-1,204557,-1,-1,-1,-1,-1,826904,980071,-1,-1,686003,407770,-1,-1,-1,-1,766804,-1,-1,263135,635822,-1,-1,-1,-1,465510,467742,-1,157122,-1,-1,729540,294797,459126,136169,-1,208734,58759,6542,758678,-1,785586,867592,-1,-1,-1,257661,-1,551972,657409,426405,-1,-1,973053,170983,22813,-1,-1,-1,-1,491011,906117,13745,-1,68120,-1,-1,-1,-1,779602,-1,34662,-1,448570,-1,-1,810521,930224,-1,-1,-1,-1,-1,-1,602745,-1,-1,-1,2232,463504,-1,3837,-1,935647,-1,-1,-1,849196,772706,407802,131588,-1,-1,987102,318045,-1,-1,-1,-1,374843,-1,160426,34210,-1,-1,232393,630754,-1,202170,-1,-1,143349,-1,571820,291858,744775,-1,-1,-1,189045,-1,191812,-1,41953,408799,726892,-1,959973,-1,603165,-1,-1,-1,603272,-1,361373,-1,-1,424861,806152,-1,731429,335988,447409,261072,-1,844887,-1,790139,-1,651396,-1,707419,164970,-1,512890,-1,-1,473268,449353,280486,527842,137354,-1,-1,599641,231481,483869,826619,212016,-1,523761,462652,954800,986070,36199,-1,-1,-1,-1,-1,-1,-1,-1,267883,209331,871139,292541,821510,912548,-1,-1,-1,-1,-1,-1,721238,-1,625490,-1,752441,247534,734318,303148,-1,639963,408562,-1,-1,-1,108186,-1,549845,694544,-1,145952,-1,-1,514904,-1,715622,-1,856355,411003,-1,454766,625439,218293,-1,-1,70935,-1,-1,-1,47509,863463,-1,816054,296890,-1,820552,940558,650210,136052,-1,608315,323512,-1,663889,-1,558652,-1,854320,-1,-1,921973,348270,-1,-1,178323,-1,-1,577070,-1,-1,-1,71807,-1,-1,778496,-1,-1,931125,443813,852085,-1,495459,-1,638797,-1,-1,949617,802236,663621,439984,-1,32647,-1,66866,685858,-1,294924,688088,177459,-1,-1,2200,488662,489297,167583,-1,143757,216191,536690,-1,-1,-1,518658,764748,714903,929054,369879,-1,-1,-1,738845,-1,144399,-1,276904,53968,118651,-1,-1,368304,596851,-1,647691,418583,191136,739320,-1,576793,484407,695113,258806,-1,616577,535919,127417,681704,855956,54750,367989,-1,552573,185221,193672,238485,-1,-1,559626,-1,-1,-1,-1,-1,-1,994141,-1,-1,-1,-1,234830,-1,-1,818435,602302,72073,-1,-1,-1,14861,480208,-1,-1,-1,-1,-1,533930,-1,-1,234583,149557,-1,-1,729602,-1,375769,549348,642291,837689,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,370335,-1,790267,252771,612895,910129,-1,-1,-1,-1,732881,-1,-1,152994,-1,452989,531423,-1,167342,-1,-1,-1,-1,461438,480202,856867,-1,684226,-1,-1,-1,-1,-1,454891,39164,632054,-1,616493,-1,224507,-1,-1,-1,546740,-1,47147,610060,-1,647110,-1,-1,957276,-1,693589,771842,-1,213854,-1,-1,-1,-1,413654,-1,-1,675112,-1,-1,91615,-1,-1,-1,62343,439034,420332,839714,604043,54258,707446,-1,550544,-1,432189,-1,-1,-1,604246,619003,-1,260787,733587,-1,-1,-1,960313,267950,-1,214875,-1,646393,43503,-1,248705,-1,227457,-1,-1,969714,-1,885272,-1,639724,675217,647348,18804,494421,969615,-1,-1,-1,-1,-1,-1,-1,-1,822469,-1,-1,-1,366818,-1,972779,-1,-1,-1,74912,418826,-1,212981,-1,-1,-1,714689,-1,55856,790959,-1,696051,-1,-1,-1,917501,-1,-1,730441,-1,33375,414567,768680,-1,-1,572967,-1,418792,641256,-1,450017,-1,958708,617147,-1,-1,-1,970846,-1,32629,-1,664591,705918,386161,254461,-1,-1,770511,895415,867038,996337,-1,-1,-1,126027,803128,481186,-1,-1,457348,40798,-1,-1,221414,-1,650216,-1,538859,-1,593653,707595,-1,464937,136422,-1,169973,-1,755480,80422,-1,-1,851310,-1,85903,-1,16244,120239,263359,766290,231925,-1,923942,512406,-1,742717,-1,41897,-1,-1,896741,-1,105511,442596,435378,238352,269723,518452,-1,-1,602334,-1,-1,-1,710597,696807,-1,-1,-1,762168,616347,-1,-1,804847,870635,732994,-1,606383,-1,854564,-1,242161,-1,562960,918125,-1,550884,428821,-1,-1,158619,-1,889980,18494,-1,36716,543479,403225,336890,-1,727771,441450,-1,-1,603633,376795,247066,589130,-1,-1,-1,-1,119850,309062,-1,-1,-1,-1,474406,695406,691591,-1,-1,-1,-1,363472,860828,-1,-1,687336,-1,-1,607381,579770,-1,-1,-1,-1,871038,-1,-1,735313,274122,944450,938885,114409,322995,-1,336874,264258,-1,339083,312168,-1,412335,-1,300035,-1,-1,8493,383874,-1,722780,-1,-1,322480,571703,-1,-1,240815,-1,49589,-1,-1,-1,278660,-1,-1,328195,-1,268590,646657,24165,357840,270472,450686,547837,-1,-1,286557,551372,164893,593434,-1,-1,-1,187140,-1,-1,991633,-1,-1,68999,-1,734813,-1,576684,-1,-1,998639,-1,780827,-1,184368,809566,448639,-1,-1,968463,-1,281302,-1,-1,-1,579817,214971,-1,-1,-1,-1,190266,-1,-1,-1,994061,709660,235109,772124,-1,-1,365983,162627,-1,6236,-1,202548,-1,-1,129175,-1,716178,-1,538470,169826,384109,-1,-1,712285,890226,-1,566731,-1,-1,162712,-1,326430,-1,884315,-1,-1,-1,-1,457701,249309,348944,-1,342949,86397,683712,482104,627497,195553,383146,-1,506808,357459,543732,768052,-1,215505,743001,-1,477704,340134,-1,-1,-1,98239,-1,-1,-1,782280,-1,-1,20254,-1,469017,-1,251398,-1,-1,-1,-1,-1,670546,-1,-1,-1,58730,-1,544974,808342,-1,-1,-1,-1,178392,759216,927048,-1,676260,531676,695075,778832,-1,-1,692151,527006,-1,202881,-1,852307,136374,-1,-1,-1,574631,301360,-1,258699,-1,-1,-1,651151,425683,672334,831102,-1,-1,231088,-1,-1,256605,539239,-1,275219,734321,-1,677933,389708,-1,-1,-1,-1,-1,-1,832638,884679,472444,-1,-1,-1,162057,440157,586850,954827,213176,385625,591715,416686,-1,-1,-1,-1,-1,661978,214105,-1,222169,-1,-1,-1,367608,-1,299843,496934,-1,-1,-1,-1,-1,634484,484533,-1,-1,-1,-1,-1,906829,481045,684867,145110,719431,-1,-1,900674,954821,-1,698555,86981,958600,-1,-1,946890,-1,216122,324103,-1,-1,749969,-1,203779,504029,444806,76628,-1,247753,-1,-1,965592,593886,801565,-1,570954,392128,-1,55190,-1,-1,124700,-1,-1,-1,44375,648152,-1,600509,-1,90768,-1,-1,324248,-1,-1,-1,676583,998640,-1,356228,-1,-1,727808,-1,-1,889692,508539,-1,168606,352637,-1,-1,827216,313468,-1,384815,-1,246626,-1,-1,929482,-1,450390,82316,537020,-1,655525,758826,624004,-1,-1,-1,363869,-1,653596,-1,-1,-1,-1,-1,153569,344363,-1,-1,227141,-1,-1,447071,-1,267867,166596,-1,477945,113194,-1,981617,-1,372924,-1,213377,-1,131050,411010,806230,301415,207983,-1,-1,-1,-1,-1,723274,686214,-1,778445,322850,710922,329463,277217,-1,514930,241244,126926,-1,-1,751726,-1,-1,-1,-1,-1,784873,-1,-1,-1,-1,126241,-1,-1,-1,-1,191345,-1,588962,140343,372350,491921,329890,-1,30744,-1,490651,417795,110777,947450,489943,-1,7405,-1,-1,-1,471720,-1,-1,413867,974942,805288,-1,718010,-1,29260,-1,900481,996527,856018,212778,-1,507784,899970,-1,-1,-1,-1,-1,784770,-1,931087,-1,-1,-1,908571,324724,183623,148644,-1,-1,766280,935490,-1,-1,547040,-1,619273,-1,-1,-1,-1,480923,-1,672578,703775,396271,-1,-1,-1,-1,699250,693740,-1,673734,-1,-1,-1,560081,-1,889541,-1,-1,-1,591437,-1,-1,-1,-1,14551,977854,-1,-1,-1,-1,-1,603657,601937,108556,-1,-1,-1,-1,446908,-1,232817,-1,-1,-1,84132,658592,554738,-1,-1,250499,-1,-1,-1,969941,-1,-1,-1,-1,312509,-1,886945,932219,128292,652545,-1,207580,-1,-1,76934,-1,775454,-1,356889,233178,-1,146136,-1,-1,636612,-1,-1,-1,-1,586097,-1,-1,-1,995372,68083,-1,-1,-1,-1,-1,497635,-1,-1,-1,-1,516946,-1,779039,369143,325142,893389,-1,381885,6672,574464,481137,-1,-1,-1,-1,-1,-1,-1,-1,-1,574909,41068,18455,905164,934075,216702,-1,-1,141387,-1,528006,694667,488994,-1,-1,-1,632000,298898,605772,898444,-1,-1,-1,991308,628585,973050,668835,397015,-1,706290,-1,282417,69741,-1,309431,543221,215992,-1,-1,635553,-1,-1,802828,787635,-1,174164,960148,134025,-1,-1,-1,-1,-1,-1,-1,800193,-1,851787,-1,-1,-1,847829,-1,-1,-1,111059,-1,-1,792979,541668,154224,-1,584658,-1,-1,-1,-1,-1,-1,-1,133671,-1,-1,-1,-1,-1,130122,-1,130053,-1,-1,968476,-1,262051,-1,-1,348675,148629,-1,932542,-1,738452,-1,592290,-1,380110,-1,-1,166536,-1,-1,-1,840049,-1,-1,-1,341192,817362,-1,-1,683809,474223,671342,186329,-1,-1,-1,864248,573204,-1,420073,947800,-1,-1,375360,-1,430918,978386,411970,-1,917219,-1,951811,-1,435818,-1,-1,-1,908279,-1,-1,879633,877913,-1,807211,-1,-1,80702,-1,668544,-1,-1,-1,699641,-1,79245,-1,108093,-1,508452,-1,-1,-1,-1,-1,117537,-1,-1,-1,64359,-1,-1,756257,719242,788793,-1,78376,-1,-1,-1,6570,806122,620940,-1,-1,-1,546733,-1,-1,706776,240033,-1,836217,-1,450399,-1,553424,119517,-1,-1,-1,786994,-1,-1,-1,-1,998623,263607,883391,-1,-1,220137,-1,-1,426285,-1,-1,-1,978457,749029,692065,-1,690339,844602,-1,28649,690685,-1,355368,-1,759046,669101,325943,-1,-1,820174,377333,-1,-1,447975,-1,684727,-1,594625,-1,-1,-1,990407,-1,333803,40059,-1,29362,679153,937357,-1,736975,876330,163212,636845,-1,-1,-1,-1,-1,33739,-1,-1,-1,909644,-1,365493,-1,-1,141269,-1,-1,103720,-1,423871,430567,701780,591461,476891,549311,-1,624061,-1,-1,727739,348459,-1,2111,-1,387961,313359,585343,684882,213195,-1,114987,-1,-1,-1,548344,-1,722830,-1,-1,-1,314499,443664,-1,908820,-1,-1,-1,323988,251813,480585,721065,-1,379822,898942,462810,-1,-1,418269,896456,536463,-1,-1,741365,131244,-1,118101,-1,-1,487000,-1,484968,-1,871944,955522,926729,-1,-1,308537,576349,-1,-1,170157,-1,650009,909745,-1,-1,-1,-1,327510,-1,450853,-1,-1,669536,740585,-1,815260,-1,165298,319206,-1,-1,967844,-1,-1,406209,-1,69501,453300,74015,805594,792354,663547,-1,-1,-1,277841,466485,575149,-1,629474,-1,-1,-1,-1,-1,-1,546984,-1,965444,-1,-1,-1,672942,460417,-1,591838,595820,934514,891157,461038,-1,-1,-1,300261,-1,-1,532219,437468,443315,-1,-1,779364,-1,-1,180219,-1,702689,613586,114131,669660,606156,664806,-1,730875,116453,740677,6539,152972,138181,-1,-1,788338,393916,-1,-1,432133,-1,814127,-1,919396,357122,705338,-1,-1,349508,277444,6244,98012,690026,803829,613206,770817,-1,638203,-1,556351,-1,-1,872254,-1,-1,-1,-1,534940,-1,893095,359994,465366,-1,858407,-1,270649,210804,633983,-1,-1,475659,48770,-1,649498,-1,-1,893928,396152,-1,-1,-1,549499,56661,-1,317486,190919,11056,370838,787895,-1,357278,912409,49966,555138,-1,-1,-1,-1,22849,915950,-1,284201,401368,-1,-1,386082,992543,-1,633964,84439,192725,718749,841378,494350,223497,-1,-1,534853,458087,-1,58,-1,714766,-1,866600,-1,-1,895189,-1,475021,-1,-1,774918,196333,569958,-1,-1,836275,-1,-1,945885,-1,745575,-1,-1,-1,-1,732828,970935,854467,-1,892213,833662,152157,-1,790285,-1,168023,662890,542734,-1,-1,-1,346034,968078,626413,-1,-1,114574,189592,-1,103299,-1,935980,518773,-1,955636,-1,-1,-1,-1,-1,-1,391248,175234,-1,415261,633291,-1,-1,969252,-1,968552,-1,-1,396317,969658,890229,-1,-1,363290,636344,671386,93281,-1,-1,720963,330713,142001,-1,488610,819936,-1,700714,-1,732423,-1,633939,591002,-1,711037,-1,851032,274774,-1,-1,48078,272984,-1,189701,-1,-1,293882,364345,-1,452426,535945,-1,-1,-1,-1,-1,-1,984898,492134,-1,906293,-1,68890,-1,226443,457573,-1,-1,752900,-1,407806,-1,245850,807281,616741,-1,153179,928241,-1,836782,213929,8495,570384,812789,-1,545258,-1,-1,695591,-1,-1,980616,370526,723833,-1,294064,71557,-1,-1,-1,95878,462150,883943,-1,-1,-1,-1,997341,434954,-1,633382,24394,-1,747717,541111,630986,273993,-1,323046,808802,-1,772503,792041,-1,495874,-1,527608,254514,-1,-1,-1,-1,-1,315287,-1,322059,456453,-1,-1,52347,-1,189312,-1,-1,-1,-1,-1,364175,386849,-1,894808,-1,30546,378856,159844,203167,29649,-1,347427,-1,520982,83344,-1,-1,-1,-1,-1,30538,-1,939969,-1,-1,748682,930274,781389,700074,405776,-1,-1,400113,235037,-1,860842,695769,459473,-1,277396,-1,676232,-1,-1,-1,-1,177260,885674,-1,871920,-1,475029,301713,625759,-1,-1,357580,336704,-1,600690,260140,530608,-1,-1,-1,-1,-1,-1,-1,-1,57734,795478,-1,201336,3252,199118,189670,514574,-1,666724,-1,-1,-1,-1,698544,-1,-1,541634,-1,-1,343520,939458,776907,528779,630874,-1,-1,-1,-1,659279,72391,-1,113457,192258,-1,241448,-1,-1,612509,328513,-1,-1,568534,974246,-1,54721,643062,-1,187781,397662,25332,-1,-1,-1,426710,-1,-1,-1,110018,178452,346881,-1,695583,32070,991168,616122,-1,490715,-1,438944,-1,837829,-1,-1,971337,770739,773718,-1,-1,-1,-1,686722,925606,796901,624309,-1,310433,514005,101505,289685,-1,-1,965161,-1,-1,-1,514301,688269,822957,746187,161052,535309,671127,-1,327672,521112,-1,-1,334957,319968,-1,269530,513232,733317,-1,-1,730360,-1,187913,-1,100567,-1,107137,820995,49038,26087,457537,553272,974975,-1,-1,-1,-1,-1,772368,35205,-1,824590,-1,328571,296496,-1,295269,-1,-1,871010,843951,756739,471620,-1,354221,-1,-1,917828,-1,660910,505021,843731,7420,551466,691903,-1,915996,336896,-1,829798,-1,-1,743256,-1,-1,674190,273547,862210,625615,-1,-1,-1,-1,122999,107041,-1,-1,22922,682377,532040,-1,-1,-1,-1,534352,458169,-1,-1,-1,726731,900415,-1,613552,-1,601760,256819,-1,28556,663384,433327,-1,226169,-1,-1,-1,371496,27290,-1,-1,-1,-1,-1,-1,279496,-1,135119,-1,-1,-1,-1,348139,-1,941700,-1,950568,-1,-1,251904,-1,949804,-1,-1,-1,725177,783347,958599,253661,117386,-1,398504,730263,26918,-1,471492,232048,929067,-1,496463,-1,142610,819425,-1,978155,126357,-1,326612,440187,356341,544270,-1,-1,884353,950496,-1,-1,242300,-1,-1,-1,-1,-1,961254,-1,-1,-1,-1,249071,-1,166055,-1,-1,232051,257672,-1,-1,-1,230354,782507,568533,-1,-1,841457,-1,-1,136124,-1,384652,-1,894042,39393,-1,-1,486964,-1,-1,672162,813640,812565,-1,-1,922109,-1,979605,665065,409680,576909,652414,700925,475433,188604,-1,871997,-1,69890,729005,-1,254981,754881,939283,374874,-1,378556,-1,451013,-1,-1,-1,-1,-1,529442,-1,951622,660827,-1,64730,485293,754731,-1,-1,850115,-1,-1,479796,260301,-1,272145,-1,-1,571606,-1,-1,-1,468849,25454,-1,851398,-1,605156,464214,630173,-1,-1,520900,18547,649294,64894,-1,63114,-1,-1,-1,350955,827511,896978,7620,702390,96755,811140,412068,-1,985818,-1,-1,218013,-1,181723,-1,-1,-1,611503,-1,254734,162235,329894,-1,-1,-1,-1,-1,177479,106764,-1,274112,925793,443623,78947,-1,-1,158406,-1,-1,-1,-1,-1,-1,964013,433195,-1,105076,-1,812029,-1,-1,-1,391713,-1,-1,302999,-1,545933,508553,372780,631760,776903,-1,979251,15897,441628,205191,-1,-1,-1,-1,-1,-1,-1,11795,624680,-1,-1,-1,-1,-1,41472,185466,293974,-1,-1,-1,-1,84843,433943,988616,-1,783947,615127,-1,212591,495780,485731,770285,847501,104975,-1,784884,-1,234958,131683,-1,858317,-1,546729,-1,-1,975265,-1,515519,309856,358304,-1,240721,-1,471780,639354,993695,-1,-1,-1,858298,857922,915616,89533,645406,-1,698253,-1,-1,650207,-1,-1,-1,-1,-1,774135,-1,-1,-1,-1,-1,584887,525551,-1,417430,-1,105532,119854,-1,394149,-1,268749,978710,-1,936300,696184,332723,361817,-1,781206,350661,474114,938788,134266,305954,-1,-1,174161,-1,319872,-1,127369,-1,-1,-1,-1,91006,502705,634334,326722,894739,-1,-1,20579,-1,-1,-1,-1,769392,719046,78632,801707,-1,-1,-1,-1,756626,334137,154501,-1,-1,174880,754710,-1,241710,-1,976978,-1,677894,775272,-1,-1,-1,806873,342458,-1,57184,440089,-1,591113,-1,-1,163734,452707,777115,-1,970305,-1,151827,593089,699223,892778,-1,822383,250612,-1,-1,-1,-1,-1,-1,241907,755842,-1,624973,-1,-1,547521,29779,-1,210935,-1,-1,-1,-1,-1,652392,634992,-1,363806,964180,-1,348936,793792,921542,325965,247311,11310,-1,-1,803021,260086,348076,-1,604541,-1,-1,-1,717484,-1,-1,566119,-1,-1,-1,441922,237863,-1,19575,-1,948407,-1,-1,410390,-1,-1,-1,469668,947276,843017,-1,515936,-1,-1,-1,100678,-1,-1,-1,961492,-1,699798,669893,81582,-1,-1,-1,741528,675067,823822,14133,185267,428645,-1,-1,382865,305782,-1,203767,-1,192781,-1,-1,-1,194408,359905,577703,-1,156577,-1,-1,-1,-1,531534,-1,352122,192106,7155,548974,-1,-1,-1,542737,-1,463384,-1,-1,201684,-1,244061,-1,444008,128308,863934,-1,-1,-1,-1,39273,-1,-1,611266,499368,-1,683969,392521,493965,688458,850516,-1,-1,415437,189253,-1,-1,-1,895917,-1,863152,-1,-1,-1,325455,-1,-1,889846,406205,758301,115753,69355,-1,-1,-1,-1,913079,-1,55547,-1,511053,479098,88520,-1,-1,432570,145995,961777,190215,-1,-1,-1,397978,417592,-1,4234,-1,-1,-1,-1,-1,214190,-1,-1,-1,-1,397898,292440,8727,993537,698566,967249,-1,-1,503889,-1,586655,254057,550115,254068,-1,512188,346495,-1,-1,-1,657383,-1,790375,-1,22551,820376,211452,195454,945930,502031,-1,83927,168158,-1,423204,113814,-1,-1,-1,532282,939125,713497,-1,-1,319596,328629,87547,-1,923647,-1,758235,957563,-1,76675,-1,-1,-1,-1,-1,-1,567039,621851,-1,-1,-1,890636,565118,-1,-1,-1,-1,551645,-1,696244,-1,842396,-1,-1,-1,781239,945567,-1,-1,344751,251111,180220,-1,582407,-1,-1,633567,348695,-1,210860,-1,916212,607554,-1,805881,598615,395648,-1,677785,-1,-1,-1,-1,205470,-1,-1,-1,-1,953216,-1,361143,646761,-1,992572,-1,405040,-1,841488,-1,-1,-1,757562,-1,-1,-1,23383,449351,565628,-1,-1,334629,665569,-1,-1,-1,666582,-1,999653,594315,-1,-1,-1,-1,-1,204350,658773,29076,-1,-1,649860,665896,981193,-1,-1,389974,387784,-1,-1,395246,-1,664616,743303,927105,-1,-1,-1,571203,409474,-1,-1,-1,-1,-1,-1,-1,648714,237995,921370,-1,671295,102157,-1,-1,391381,-1,72410,-1,521001,-1,-1,589818,-1,477757,604987,-1,593143,-1,223766,-1,382140,303471,359581,10736,917372,954332,-1,-1,-1,-1,903393,204617,10904,799572,227038,326743,257481,563660,-1,-1,564752,-1,155947,664966,-1,162578,833250,985994,-1,-1,506632,144039,931360,-1,18892,5947,-1,-1,349387,145890,-1,-1,725136,-1,-1,-1,166075,36928,-1,666198,590110,-1,91753,920435,202600,-1,-1,537660,-1,-1,10030,-1,11457,-1,590099,-1,-1,-1,-1,-1,-1,116713,711255,231029,668350,-1,-1,867207,-1,-1,34548,333888,593347,-1,-1,-1,849473,-1,966665,-1,-1,186771,-1,-1,72656,-1,96505,-1,983349,-1,-1,105167,-1,517326,437364,-1,408009,-1,-1,687241,351852,503209,-1,328995,-1,907093,-1,-1,-1,-1,921726,873382,-1,179369,-1,986027,132487,-1,941239,-1,533496,-1,-1,-1,-1,357137,-1,-1,-1,-1,-1,-1,-1,932393,-1,-1,908865,-1,-1,774311,-1,-1,671721,-1,21046,119634,519996,924254,-1,946282,350652,719914,-1,-1,529235,-1,180221,614753,773213,-1,-1,-1,387559,316346,-1,-1,435949,719485,-1,-1,-1,-1,12112,-1,-1,-1,-1,640132,198548,589789,-1,785062,65800,-1,472028,-1,444264,215221,-1,-1,881145,57287,-1,-1,-1,990567,-1,-1,-1,391127,499519,-1,328709,156829,-1,441277,-1,934093,-1,379528,261598,824165,899347,429725,499848,16226,-1,-1,512529,670304,-1,-1,-1,998664,-1,870156,56184,-1,87698,-1,-1,655508,-1,-1,-1,-1,-1,790626,-1,-1,-1,873148,329088,-1,-1,883387,-1,496306,889193,190562,-1,122976,476286,-1,-1,-1,796960,605592,925624,-1,-1,912763,824350,801149,-1,614259,516927,-1,511356,-1,-1,-1,-1,-1,186748,-1,-1,-1,-1,253109,94635,182420,831100,-1,8163,652718,-1,629088,312115,566679,-1,493500,-1,-1,-1,269303,-1,788130,-1,362879,542395,962667,931499,484488,-1,812512,67497,-1,464580,983399,-1,-1,-1,-1,-1,-1,294848,750405,631776,-1,-1,-1,-1,53767,-1,-1,-1,-1,-1,-1,747987,-1,-1,-1,-1,944268,126220,609912,-1,-1,-1,295496,-1,-1,567792,-1,-1,-1,-1,-1,-1,953918,160588,561283,-1,-1,904096,154246,518635,-1,-1,674017,-1,-1,-1,600394,-1,686354,-1,684291,652318,878884,2820,989133,697802,834874,-1,353146,264923,377267,-1,742409,211213,516756,265731,726363,147965,-1,-1,466182,758091,-1,-1,106869,-1,176252,-1,166570,822614,312675,590946,-1,-1,51361,-1,460980,-1,13127,70740,-1,-1,560674,-1,549822,645519,324884,-1,491384,-1,-1,-1,-1,-1,-1,730838,225062,662357,758560,49858,907894,-1,-1,765615,-1,145091,-1,-1,941819,180722,-1,940945,-1,268718,-1,735337,-1,450309,-1,-1,709611,-1,859004,400699,380405,-1,668153,-1,-1,516330,-1,29862,-1,111719,-1,-1,-1,231940,-1,-1,-1,-1,-1,-1,702987,715363,335665,716215,326088,-1,77639,255613,-1,938029,141571,61675,94021,-1,-1,910068,-1,-1,640761,-1,616706,384360,-1,-1,-1,-1,439625,512794,908969,-1,855387,-1,-1,-1,503791,-1,-1,-1,-1,21945,-1,913181,351517,686773,-1,-1,273563,-1,597885,288284,-1,376900,-1,258721,149687,919832,372409,-1,-1,472075,-1,111303,-1,365828,512386,-1,-1,664032,186163,402949,477987,682473,259029,-1,-1,-1,392647,123813,117575,399907,-1,-1,-1,55606,586870,-1,-1,415692,672392,852738,120550,-1,-1,-1,-1,533040,172686,-1,-1,-1,-1,-1,856528,-1,626904,502936,867905,827162,522663,834178,-1,642691,954711,-1,908131,-1,329841,913733,-1,79756,554377,-1,707265,-1,-1,717535,235309,299303,956069,992090,-1,545126,52603,-1,946208,411255,-1,374864,-1,722358,394338,485491,-1,-1,-1,556482,596801,284179,841708,563655,758252,850360,-1,-1,-1,-1,-1,166894,169214,456287,205647,-1,165455,-1,-1,429802,344072,776631,540002,-1,-1,-1,-1,-1,618690,-1,976523,-1,869034,342775,725942,99663,720220,-1,456290,-1,-1,-1,233564,25796,403828,-1,-1,-1,799294,808416,125648,-1,-1,-1,958384,-1,-1,-1,-1,-1,-1,-1,-1,-1,767885,-1,-1,-1,822814,908213,-1,-1,450582,893007,483509,-1,786735,-1,-1,-1,476119,-1,634367,291951,850274,-1,-1,294642,158672,-1,243089,-1,-1,510978,208207,284427,-1,541148,935552,-1,-1,662751,-1,-1,-1,-1,-1,985456,544364,-1,120401,29067,-1,-1,-1,86836,937563,-1,971856,-1,-1,-1,763687,-1,-1,-1,664608,263281,614544,159737,-1,-1,-1,-1,598121,-1,69834,-1,-1,531757,794614,-1,887669,-1,-1,-1,-1,-1,-1,-1,-1,462589,-1,-1,-1,621383,152388,-1,-1,-1,-1,680319,-1,-1,455746,-1,372341,-1,-1,-1,-1,-1,-1,-1,-1,674157,532369,185525,-1,-1,-1,-1,-1,-1,-1,966482,-1,-1,-1,-1,-1,-1,-1,814160,-1,844700,-1,-1,-1,-1,-1,768068,-1,456009,-1,766821,-1,783174,484061,881968,609017,50228,-1,861873,-1,59904,-1,-1,-1,-1,-1,-1,-1,-1,-1,892040,309435,-1,656254,92146,-1,-1,972569,-1,-1,-1,780805,626877,-1,519144,-1,306902,-1,418515,-1,-1,749166,439227,-1,-1,699300,595355,-1,828537,500282,917667,302995,728022,-1,875406,-1,310189,19403,-1,177013,-1,-1,136781,14797,582417,-1,936068,-1,-1,66221,186849,199031,-1,-1,566692,859177,-1,371348,-1,679673,2258,990273,977828,915263,852533,376735,-1,367417,732011,989596,-1,122788,-1,-1,403062,-1,845933,125612,-1,-1,-1,478782,216677,-1,678894,-1,667324,9981,-1,-1,-1,-1,-1,578227,534357,739294,-1,-1,394990,-1,-1,-1,565860,561783,702787,-1,497128,-1,-1,443090,103174,26598,-1,-1,351407,-1,864266,-1,-1,854009,34777,-1,286285,190378,-1,467077,786882,325843,-1,-1,-1,816721,-1,-1,950464,-1,337733,-1,874828,-1,-1,652382,-1,-1,396005,711018,689934,491993,588758,960420,-1,562494,988345,717210,-1,-1,209809,-1,460322,638336,316926,-1,-1,-1,-1,-1,581454,-1,-1,-1,-1,314803,323318,515586,277133,147850,-1,-1,787537,251703,-1,55712,-1,647120,-1,998361,-1,51937,411981,944874,-1,616070,655664,-1,412656,-1,-1,-1,-1,504501,485273,-1,363656,-1,-1,-1,-1,977212,77521,-1,542850,311585,-1,845244,420901,-1,844181,217415,-1,-1,233259,597747,113777,599337,176176,-1,-1,406146,946886,126582,963921,927648,263500,-1,291051,-1,-1,173426,699846,415826,-1,522275,294168,-1,47180,-1,433605,318205,857399,-1,545067,598352,65105,-1,142948,-1,466404,-1,-1,853860,-1,-1,250324,-1,569477,429729,539316,-1,652922,550212,-1,-1,-1,479695,-1,374257,86181,-1,-1,925022,389252,600811,884931,654001,-1,-1,-1,167576,539396,716607,750779,427382,167714,-1,-1,443363,875118,-1,-1,154046,251880,-1,742159,37844,759867,950154,-1,-1,-1,-1,962109,-1,14923,-1,651652,-1,-1,483821,957702,-1,642328,632338,-1,-1,-1,-1,-1,331420,-1,-1,270457,910960,964476,-1,616689,614212,523855,-1,-1,28480,82095,-1,-1,567962,-1,790355,-1,-1,-1,125759,794019,-1,313952,-1,777056,-1,438254,185537,875660,964115,477791,-1,-1,-1,-1,323976,-1,-1,-1,-1,378957,117534,954708,910656,-1,-1,-1,-1,-1,-1,717294,-1,-1,-1,-1,534565,621751,261319,-1,-1,152181,-1,408994,-1,77546,657793,-1,-1,792683,-1,225887,888467,361400,-1,247772,-1,165396,-1,974910,-1,436406,265036,-1,-1,-1,-1,-1,-1,-1,986710,587861,266550,383327,940328,-1,28660,281616,623108,-1,275,7276,-1,174043,436065,885696,558135,-1,-1,705227,436019,104104,-1,-1,241826,-1,-1,210951,239881,887740,726466,666023,-1,21967,150203,917014,-1,665234,-1,-1,-1,172899,-1,813804,499532,-1,916209,765467,671415,-1,-1,38279,419853,-1,-1,-1,87374,-1,-1,751154,-1,305092,603694,-1,769919,302848,-1,190224,-1,-1,-1,-1,-1,-1,-1,-1,98605,-1,398300,-1,762005,-1,607373,455062,-1,-1,136571,-1,467401,548509,259668,-1,152162,-1,-1,-1,678788,192915,253266,136193,961603,244678,-1,-1,966066,716040,-1,-1,-1,160301,323351,57963,-1,729576,-1,423438,181046,999156,-1,721059,-1,382624,-1,-1,674581,-1,-1,628333,420892,-1,-1,-1,284439,-1,-1,968851,-1,-1,14288,-1,132134,-1,982732,-1,838938,130937,-1,808550,-1,-1,-1,621138,-1,470897,-1,-1,-1,-1,616061,753576,567461,237442,-1,-1,-1,-1,-1,767218,-1,932546,-1,-1,-1,412815,-1,-1,437180,-1,666227,-1,275568,-1,762278,946013,-1,963148,462403,977283,769878,-1,-1,-1,-1,-1,-1,374237,-1,323074,21087,877232,-1,-1,177712,-1,-1,-1,-1,-1,393888,-1,-1,-1,-1,605194,-1,-1,756932,113554,414197,187976,-1,80169,84677,-1,-1,-1,751076,266936,845266,736070,-1,441187,-1,860328,-1,-1,-1,66819,-1,894063,-1,456503,-1,786752,164935,682750,731851,-1,-1,-1,-1,-1,-1,368156,-1,-1,610517,424357,466559,698049,-1,-1,18130,-1,892723,960621,-1,687259,427718,687375,677235,184272,-1,269263,614231,-1,-1,-1,-1,290840,4048,507807,-1,840409,-1,-1,366038,848301,-1,685455,14178,-1,9285,235810,377335,-1,-1,992825,-1,566363,450065,-1,644693,994573,-1,-1,498730,-1,-1,-1,-1,-1,-1,-1,818822,55060,917556,-1,643784,520926,-1,608587,375326,-1,18425,-1,-1,-1,980542,-1,-1,-1,-1,565986,-1,-1,-1,317477,-1,-1,-1,-1,-1,-1,868128,-1,-1,282449,-1,319058,591391,-1,588463,-1,838269,-1,-1,-1,931050,-1,-1,653599,-1,-1,-1,347769,-1,-1,996204,765836,-1,460391,-1,-1,595123,696607,-1,895896,-1,780187,587018,-1,-1,265527,171370,566083,-1,-1,-1,-1,-1,-1,345561,-1,-1,248126,336489,934893,-1,847893,-1,375553,-1,302172,-1,-1,114472,141664,-1,-1,879644,416036,395238,-1,293961,-1,-1,667348,-1,933240,221779,-1,-1,-1,-1,-1,2792,-1,306342,309859,229389,-1,-1,-1,892744,556633,76621,182870,-1,-1,257707,921206,431409,-1,-1,303666,126251,666309,-1,-1,-1,187645,-1,-1,-1,618957,-1,-1,-1,-1,-1,-1,853504,-1,-1,-1,966623,-1,53954,330461,537877,233156,-1,-1,658217,-1,-1,972995,370725,-1,630734,157191,976747,-1,443996,15397,-1,905827,4994,-1,-1,135055,936433,811295,627548,580141,-1,632851,564920,878221,735583,-1,-1,-1,-1,889171,74539,668315,74007,602912,-1,-1,788194,287982,-1,-1,-1,-1,-1,-1,737614,-1,-1,-1,348273,-1,402979,-1,-1,-1,-1,428984,-1,744606,-1,937600,-1,693384,15783,-1,642212,439850,-1,-1,-1,-1,-1,426974,-1,-1,951226,-1,403332,-1,640433,-1,-1,-1,-1,176676,895680,-1,-1,18831,25070,-1,998909,-1,-1,918555,202649,-1,-1,977281,242208,750869,438170,628992,-1,876055,-1,-1,891952,-1,563006,557886,321720,-1,-1,-1,231808,-1,87296,37040,881982,-1,-1,-1,715965,-1,734812,-1,-1,-1,275691,279083,202271,478163,541370,-1,472223,224444,914083,-1,-1,408482,-1,337795,954611,495100,-1,466188,646483,-1,-1,-1,-1,576254,-1,259406,-1,-1,855708,442886,-1,-1,85666,683631,152423,-1,712976,-1,-1,-1,128288,-1,360979,-1,864408,398227,-1,-1,788541,530703,-1,15690,768767,-1,-1,126746,978587,-1,-1,-1,461886,-1,-1,-1,10939,-1,489680,735548,43442,8949,-1,-1,-1,864054,814831,-1,-1,864699,-1,512669,-1,102854,-1,-1,268148,-1,-1,755504,-1,66295,218088,-1,-1,-1,-1,201052,-1,157561,967100,-1,-1,259587,514869,-1,189723,425462,660427,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,88941,-1,-1,796577,878302,872708,-1,-1,607598,491013,569982,-1,-1,-1,292051,555623,-1,-1,537513,277681,-1,717419,359051,846178,-1,-1,-1,-1,207431,855946,-1,-1,-1,-1,652681,105824,-1,-1,800679,107668,41627,639829,949909,826533,261410,-1,928388,977842,-1,13578,622533,-1,840684,619711,-1,-1,877821,193886,471452,-1,-1,683304,-1,153292,489777,-1,-1,-1,364943,-1,722688,-1,4757,-1,-1,-1,-1,-1,-1,496546,-1,-1,-1,857118,957970,-1,-1,-1,-1,880629,-1,47011,586256,-1,6060,485381,-1,-1,-1,-1,-1,-1,-1,640204,-1,645814,809152,-1,-1,231967,616000,799580,-1,-1,-1,-1,527225,983604,560151,604323,367496,952067,866414,-1,949848,-1,-1,742149,820244,45799,-1,-1,-1,564021,860690,690312,-1,-1,359707,-1,-1,699828,-1,-1,480398,371698,480697,-1,-1,-1,-1,527130,-1,-1,418535,644650,-1,458124,-1,889562,-1,-1,798549,624598,-1,-1,-1,423312,-1,697026,922034,468730,-1,-1,-1,409820,-1,302886,-1,826578,-1,836239,102598,-1,-1,178376,-1,900579,252456,-1,-1,-1,629614,-1,-1,-1,97552,-1,-1,953613,-1,-1,-1,-1,745805,227087,705877,-1,588256,650894,543816,287798,-1,750962,151330,372175,-1,241835,-1,-1,-1,-1,784922,487782,-1,379220,-1,-1,587836,910267,57161,-1,-1,-1,-1,-1,174259,172590,-1,-1,581881,897685,-1,-1,824306,-1,348698,-1,683440,185556,-1,912413,380618,-1,933135,226170,92006,878199,333328,511606,-1,-1,-1,210476,-1,6729,-1,-1,-1,381265,729392,180630,956418,-1,-1,920473,154585,-1,-1,-1,818314,454990,-1,515305,286272,-1,558564,-1,937528,272322,-1,545706,-1,902172,-1,-1,446231,-1,-1,-1,-1,613254,82110,-1,-1,-1,-1,786908,419006,678559,-1,-1,-1,-1,471932,-1,-1,144088,-1,-1,524337,982900,-1,680476,-1,-1,793388,305917,-1,439224,467630,450545,132360,-1,-1,283362,-1,-1,-1,454540,18224,-1,-1,-1,161704,-1,539793,943286,342968,-1,441591,-1,660748,-1,-1,-1,-1,607571,53760,443856,512212,822727,-1,44675,-1,-1,-1,87268,-1,-1,681143,676542,472052,747788,-1,925493,-1,253033,-1,-1,365740,160805,-1,244546,-1,-1,638063,550470,45381,-1,648588,964141,-1,-1,293668,889037,192171,-1,250860,-1,135323,873612,776037,701434,478514,-1,-1,-1,529895,-1,-1,592424,-1,203666,-1,218529,623343,-1,581126,161944,212908,-1,-1,759124,-1,-1,793177,-1,923767,-1,690847,451022,-1,-1,-1,-1,-1,-1,-1,400893,-1,893221,86219,146940,-1,614309,926771,-1,-1,-1,-1,946297,117891,473321,-1,317890,-1,584582,103745,-1,104076,-1,69398,-1,-1,-1,793510,-1,-1,-1,732721,611610,-1,184029,-1,-1,-1,-1,-1,-1,-1,-1,210803,-1,-1,392410,-1,268926,810034,1537,-1,-1,-1,582543,-1,803138,-1,762514,578750,-1,-1,-1,-1,506695,-1,-1,51356,-1,819178,-1,241666,-1,453170,723,556401,81082,-1,-1,629846,738219,-1,-1,-1,733921,-1,-1,525035,-1,620769,422665,-1,-1,880520,-1,-1,-1,-1,783766,34257,383277,-1,-1,-1,691971,70196,-1,996091,886228,869478,-1,-1,-1,670221,-1,-1,729533,778285,386010,-1,303679,-1,725389,613124,368099,-1,-1,-1,-1,145132,460371,705465,134770,368275,-1,302221,-1,551561,-1,459328,979816,437653,350207,-1,-1,-1,-1,-1,-1,61514,592927,488279,-1,-1,855613,833671,663320,-1,-1,-1,143948,865416,-1,-1,-1,-1,-1,189964,-1,-1,352449,-1,583759,797719,381894,-1,-1,-1,-1,647915,34262,123078,698485,-1,487996,171863,938570,-1,-1,158238,817483,716909,376178,626016,-1,-1,-1,-1,134101,952302,398145,502857,66216,975148,-1,642070,267530,493345,779676,346942,1827,-1,790252,67583,-1,-1,-1,-1,756807,272271,-1,-1,537163,-1,-1,-1,803220,29127,-1,-1,-1,862116,626240,-1,-1,-1,-1,-1,689226,825892,580586,435255,887543,-1,507875,73385,-1,-1,-1,831640,-1,-1,731583,4221,-1,922960,-1,-1,-1,-1,-1,70492,777122,225167,-1,-1,242548,-1,631518,529656,534921,-1,-1,-1,-1,889231,712893,387342,415673,390800,-1,-1,-1,-1,-1,297453,-1,501689,-1,-1,498120,730925,757743,-1,-1,-1,918655,-1,-1,-1,-1,-1,807192,138398,-1,549870,-1,-1,640877,-1,-1,-1,-1,-1,722613,762304,-1,-1,-1,770821,-1,255945,-1,-1,999836,-1,663745,-1,-1,826270,908313,521598,455527,-1,-1,94301,76598,-1,454676,-1,-1,583464,-1,-1,-1,-1,610711,-1,439700,-1,-1,-1,137675,793315,-1,-1,212581,-1,-1,-1,411451,-1,495514,-1,710995,201943,83702,575532,-1,-1,217274,-1,-1,619236,-1,-1,-1,39019,-1,477725,-1,843694,430009,839061,-1,-1,835745,240314,-1,-1,648036,586580,-1,-1,504548,555238,-1,291781,784841,-1,687387,893933,-1,778679,-1,-1,-1,-1,75567,-1,378496,-1,317632,6677,-1,-1,-1,676448,-1,253101,849048,-1,-1,640884,678536,-1,-1,-1,-1,-1,467025,944610,-1,-1,-1,549125,501982,-1,574451,124604,935005,-1,590498,141703,684474,124421,910916,873663,944227,-1,-1,669312,-1,621769,915630,663229,-1,726724,721265,-1,172467,533425,-1,-1,-1,757873,-1,92074,-1,494978,-1,-1,605908,183828,715627,-1,-1,-1,217096,763741,-1,-1,-1,-1,702874,306791,-1,-1,-1,262696,-1,-1,-1,11216,604188,412086,102331,802589,-1,-1,-1,-1,-1,-1,-1,247538,115344,-1,-1,-1,-1,474240,-1,-1,99657,-1,-1,-1,722295,769564,-1,209813,382835,-1,-1,-1,51007,529829,155993,535163,976865,-1,112653,689834,-1,481609,906741,243878,328862,551402,636502,-1,621502,167164,-1,-1,661689,109299,-1,487670,813029,684485,917642,-1,-1,769207,-1,970892,-1,-1,430202,-1,-1,420596,712663,-1,199235,-1,600280,-1,-1,35566,-1,436689,420950,16043,-1,198805,-1,-1,-1,946560,172871,256770,-1,21684,786558,-1,218131,-1,-1,-1,442097,-1,23234,-1,987139,330512,909310,617145,-1,255152,308389,-1,217546,-1,-1,-1,957492,-1,-1,484639,-1,668057,338740,-1,610355,-1,178950,934922,-1,-1,-1,893907,252163,-1,-1,766674,-1,982685,244738,-1,-1,632596,421635,-1,762624,-1,-1,-1,282298,693997,-1,-1,49886,45324,999627,-1,936098,-1,313495,628421,-1,-1,-1,-1,547985,-1,-1,-1,316943,-1,-1,341187,853528,-1,-1,154610,362365,316060,-1,912639,-1,896723,-1,752506,-1,-1,658338,-1,-1,426740,-1,208130,-1,-1,749853,9469,-1,-1,-1,-1,621091,-1,-1,548811,988599,395778,22953,890287,747830,886509,-1,599151,611938,-1,103685,-1,-1,699310,436823,-1,260532,486746,-1,-1,585472,-1,201762,178065,-1,102884,-1,933130,853442,-1,643284,-1,87858,-1,-1,-1,738425,92834,-1,505194,-1,84527,-1,-1,-1,-1,-1,412201,109364,-1,259388,-1,-1,-1,246792,534285,428054,435879,-1,884255,-1,-1,526742,-1,-1,572455,487968,-1,-1,-1,748690,356832,-1,-1,243115,-1,-1,-1,-1,392928,752589,-1,-1,-1,658958,-1,-1,1534,-1,-1,-1,506437,393513,252040,-1,-1,915969,-1,183763,978787,441898,738169,-1,-1,-1,356375,991231,-1,-1,747387,-1,-1,325913,-1,-1,-1,411094,-1,39340,-1,644183,-1,229878,329354,-1,-1,344801,527656,-1,644932,585139,658920,-1,-1,-1,-1,-1,818884,795525,-1,893372,132791,-1,-1,682101,-1,937658,-1,839996,-1,403268,-1,353812,-1,506675,787886,987992,-1,-1,51551,412955,-1,-1,-1,-1,692654,-1,941911,-1,-1,570848,-1,747646,-1,755815,-1,-1,-1,167106,-1,-1,-1,266731,340742,959476,-1,532246,354035,957586,-1,-1,-1,450774,606706,559384,-1,156244,-1,-1,548437,74479,-1,981289,-1,17454,-1,-1,-1,-1,-1,-1,-1,-1,475028,253155,135866,-1,417610,-1,860620,444949,377253,-1,-1,-1,204882,-1,410301,998337,993212,835150,-1,356998,922797,-1,168798,-1,-1,-1,-1,-1,-1,349955,332950,-1,49687,-1,-1,94450,480312,539860,443153,-1,824289,132047,-1,-1,-1,701505,-1,878181,895211,526504,74558,-1,675317,798007,-1,191842,57705,941746,-1,840652,486718,-1,-1,-1,-1,378465,-1,305966,626690,-1,540026,995717,-1,-1,-1,-1,-1,828557,715433,-1,484264,905495,-1,-1,-1,-1,-1,-1,33749,575130,225313,-1,417358,-1,189588,-1,-1,-1,-1,249351,-1,-1,291706,448906,-1,-1,688607,-1,475504,-1,-1,-1,-1,681467,576603,-1,572058,336331,-1,-1,680053,-1,-1,358693,-1,353762,813766,-1,-1,-1,336672,-1,143616,260223,965860,73807,-1,725915,808186,-1,-1,10400,658951,-1,-1,-1,550315,555798,886204,721183,286253,-1,-1,259049,443292,-1,645415,-1,-1,-1,-1,-1,970492,684223,343476,-1,-1,-1,-1,928499,-1,-1,845614,364780,-1,751227,735501,623909,-1,-1,-1,293273,-1,-1,877888,-1,744179,235549,539859,-1,-1,-1,84728,-1,-1,60486,55913,308663,972869,610013,705068,-1,765261,904819,-1,-1,-1,-1,311889,-1,180485,-1,-1,801586,-1,-1,-1,-1,-1,-1,-1,-1,449282,-1,750803,-1,247876,53043,883486,-1,-1,492485,924667,966424,-1,-1,-1,646907,252539,876614,-1,324352,89316,11111,-1,-1,15314,553706,672850,269386,-1,359279,503969,-1,-1,-1,-1,481138,779740,-1,469654,495607,844510,-1,-1,828952,-1,279032,-1,953619,-1,-1,31530,-1,719959,990403,880785,-1,-1,623785,-1,594005,-1,675886,-1,690069,377219,-1,-1,-1,106735,887830,-1,-1,137883,-1,-1,-1,612658,-1,637499,-1,286790,93460,137248,-1,438077,-1,562225,769258,-1,-1,-1,-1,-1,198130,-1,-1,-1,484522,-1,-1,55493,-1,785168,-1,-1,-1,911186,-1,-1,516681,-1,-1,87595,-1,-1,-1,568367,-1,-1,-1,684719,358650,-1,-1,-1,721232,-1,221457,154523,-1,866712,148910,17911,2006,713306,341476,-1,-1,-1,-1,652462,-1,186699,-1,597462,-1,-1,26930,504864,944014,-1,-1,318105,-1,-1,-1,442123,-1,338484,534797,-1,-1,-1,440340,885132,-1,302190,-1,779076,-1,-1,-1,52034,-1,809364,24123,94823,631964,-1,814387,426273,636339,348804,801554,-1,-1,178151,599381,-1,-1,-1,28979,-1,-1,242038,886031,-1,411383,548041,354794,130568,-1,993562,998354,-1,398288,-1,-1,-1,994675,603969,161678,-1,273369,96615,-1,-1,717734,-1,358101,781216,706467,687537,127212,981570,479541,-1,535084,-1,692018,-1,503313,675440,-1,652303,450304,-1,298080,-1,953652,615328,288786,300049,538253,-1,257977,-1,-1,988099,-1,908406,-1,922217,-1,28952,-1,379202,-1,-1,125707,57762,792450,59684,-1,248174,-1,-1,-1,-1,-1,662574,236879,-1,485799,290829,-1,93309,478889,-1,674702,843234,-1,-1,795978,638612,788458,308507,-1,99123,-1,618223,-1,81820,496016,238182,-1,980974,340778,-1,-1,-1,935193,553758,601824,-1,366315,395154,-1,271356,956604,-1,451958,525616,40494,479496,-1,603885,5017,-1,-1,869908,-1,374416,936183,-1,969824,-1,-1,-1,-1,559179,589712,152211,-1,925094,-1,998135,-1,77980,-1,-1,-1,-1,531205,-1,55094,-1,442850,-1,703565,290611,97953,320342,-1,140336,736684,200452,693204,972257,-1,794899,-1,986271,161870,998663,561837,-1,-1,-1,-1,889481,-1,521045,684767,450264,-1,105769,781435,-1,-1,859891,106196,-1,227441,-1,810567,156113,-1,-1,-1,-1,347246,-1,731343,-1,-1,385966,-1,-1,-1,-1,-1,-1,-1,266807,369046,-1,-1,566691,923213,-1,121541,-1,-1,811534,-1,-1,357543,633445,-1,-1,-1,817676,823493,124323,-1,-1,-1,715005,276243,-1,526783,325815,-1,-1,521563,376877,-1,961743,18923,-1,-1,459112,3521,-1,955971,897709,88373,512635,-1,508570,-1,-1,7589,-1,55291,489509,331380,921088,310594,-1,-1,-1,334165,-1,818769,-1,299254,820210,269471,225748,205336,-1,-1,-1,756046,-1,581537,-1,141688,-1,-1,337821,-1,216552,894157,931002,46939,-1,-1,-1,-1,194059,-1,507595,-1,-1,-1,43521,-1,532069,963527,-1,-1,-1,18250,386614,82454,351882,-1,769695,-1,-1,830496,827392,-1,536087,-1,-1,-1,-1,-1,141901,587366,-1,-1,116854,623983,451237,-1,850364,-1,472812,-1,751281,-1,-1,569525,-1,-1,499837,508697,-1,876942,-1,802814,-1,-1,284904,-1,531194,-1,-1,-1,-1,-1,-1,601545,358389,839593,-1,-1,981156,802528,-1,-1,266708,-1,872247,-1,272008,-1,-1,323014,-1,-1,747942,-1,-1,-1,580394,-1,-1,781334,640851,793347,-1,-1,-1,564945,-1,-1,-1,133315,582410,979189,349161,-1,-1,-1,-1,-1,275822,-1,-1,104052,20630,822236,-1,646167,-1,-1,-1,-1,-1,739475,-1,-1,319101,701628,835741,740884,-1,-1,-1,-1,-1,431924,-1,-1,-1,-1,-1,379745,160633,886672,-1,369342,-1,437388,149716,602767,104084,726437,878363,-1,167700,459744,-1,-1,202350,982429,-1,286466,-1,-1,814779,-1,-1,-1,-1,-1,-1,621124,568900,-1,45389,-1,-1,-1,95462,721461,772150,-1,-1,932543,-1,981085,-1,98502,109381,856803,-1,-1,-1,837574,761691,-1,-1,661982,-1,560878,663869,861455,-1,-1,-1,-1,862440,-1,-1,925592,759510,-1,40684,90071,-1,-1,72003,152595,-1,-1,224107,-1,928747,922050,453581,205854,224710,-1,545975,136465,235438,342607,724151,491425,560366,745269,-1,901652,205292,613287,725315,221747,887859,-1,752640,-1,-1,-1,-1,-1,796247,-1,-1,683397,-1,-1,667803,-1,-1,-1,-1,971785,799576,-1,689261,-1,203552,377920,-1,-1,-1,-1,-1,540358,-1,-1,-1,581594,-1,-1,414551,-1,-1,-1,883889,505125,-1,-1,-1,836618,599819,-1,-1,732127,465736,-1,-1,-1,932696,249876,865011,-1,898461,564362,-1,985888,-1,-1,-1,26333,502179,-1,-1,543859,-1,-1,200255,435963,918308,-1,-1,-1,864864,186604,613509,405672,-1,-1,-1,-1,460795,862611,421621,-1,659859,-1,127079,-1,-1,413215,-1,-1,300139,-1,-1,-1,748330,-1,712889,564744,896922,65313,-1,524410,399460,161419,-1,-1,-1,-1,566226,270383,83540,18734,480286,822902,-1,-1,867256,658443,-1,638124,-1,-1,-1,465912,-1,-1,267594,-1,-1,-1,445277,-1,-1,-1,-1,227414,434409,734951,-1,766363,30188,263685,-1,-1,935051,-1,226130,-1,-1,970843,-1,-1,477081,-1,609256,-1,347149,-1,-1,151331,939073,-1,-1,-1,220236,-1,-1,-1,-1,-1,321017,-1,880098,-1,-1,744702,-1,-1,-1,725329,418151,219602,-1,-1,110909,772722,-1,836014,-1,824804,986005,339741,497640,-1,55919,-1,-1,-1,342105,185623,431637,-1,373895,-1,39566,455028,927680,-1,-1,-1,-1,759419,330971,-1,-1,82811,-1,334947,168578,640244,-1,119750,577638,547632,327530,333385,-1,729958,618640,-1,-1,625427,430378,604046,493445,423051,-1,210145,-1,-1,767645,-1,438460,848686,-1,-1,-1,-1,-1,-1,210688,-1,710395,-1,-1,547299,-1,849961,-1,6198,166054,-1,-1,-1,-1,497884,245046,-1,-1,410600,169392,133570,488844,-1,388928,-1,725708,-1,337660,983013,227418,-1,-1,-1,-1,-1,-1,944960,-1,981067,-1,-1,337297,-1,74405,221965,257389,-1,388478,435826,915571,762501,-1,166430,818076,-1,-1,-1,-1,-1,989589,392277,602294,369043,373387,-1,-1,884052,-1,238247,-1,386278,698612,-1,782289,-1,-1,-1,538463,64641,-1,531571,-1,592815,255822,203203,-1,288987,548664,959045,-1,-1,165604,-1,814142,30504,256881,-1,508365,8839,7880,115001,-1,-1,-1,632298,687035,807051,-1,-1,-1,131129,-1,-1,-1,-1,366223,584149,-1,532455,-1,-1,-1,-1,339226,-1,-1,-1,842446,-1,898961,85882,-1,-1,-1,-1,165202,381099,-1,-1,-1,808948,785784,-1,-1,485675,-1,363353,577445,-1,-1,160838,55207,453045,-1,-1,145429,337428,-1,725665,97842,-1,-1,-1,109087,-1,197110,613903,-1,710816,833549,-1,197733,510873,733438,-1,-1,643067,-1,-1,-1,418540,497267,-1,747527,-1,165897,-1,-1,581106,-1,905391,221015,264137,-1,49453,722415,-1,463418,577580,282677,765685,-1,720658,-1,-1,-1,102661,818092,416149,293525,396437,511895,517186,796971,-1,585202,-1,360398,899490,-1,176140,-1,-1,252266,-1,-1,-1,-1,-1,-1,538961,-1,-1,-1,519974,-1,158413,-1,-1,333882,-1,-1,-1,232434,-1,259020,-1,743700,-1,-1,-1,-1,208944,835904,-1,-1,9204,194825,506895,913829,-1,-1,869673,32078,639414,722464,-1,111986,-1,433061,542251,656766,84626,981109,-1,-1,-1,415583,311340,860720,608037,295461,-1,872610,-1,-1,-1,728931,948119,219411,-1,919406,-1,578135,-1,675951,370696,977286,-1,43520,-1,477956,869143,-1,381479,-1,-1,-1,-1,726493,901840,-1,-1,-1,390728,670266,791335,877404,228322,885770,135199,-1,-1,-1,245212,-1,-1,-1,228599,840281,-1,-1,-1,319158,764868,682828,-1,-1,-1,223934,188474,-1,343479,-1,-1,692710,965291,425364,288285,-1,-1,-1,-1,-1,959615,174394,694551,804009,523739,-1,-1,-1,-1,122882,309505,697271,-1,-1,-1,-1,-1,497693,427443,-1,839279,-1,-1,991882,11349,816984,784015,-1,48355,-1,-1,450474,232287,230065,-1,-1,216915,294310,683829,435810,649331,212382,93721,902457,-1,-1,172261,252859,570644,-1,304669,-1,183964,-1,-1,-1,-1,-1,-1,836087,766365,648533,440446,-1,533875,-1,4432,965554,-1,948738,-1,-1,157520,565329,299253,715671,-1,-1,868791,-1,787398,-1,315915,205103,-1,520795,467950,963428,-1,803988,685395,-1,-1,275027,326744,-1,-1,-1,-1,645616,-1,39328,-1,-1,-1,-1,-1,-1,-1,-1,-1,573307,-1,568112,-1,530393,414425,784507,129264,221850,247798,-1,-1,829001,729996,-1,-1,-1,-1,99970,187706,818566,108534,-1,-1,941305,127438,-1,-1,-1,-1,-1,-1,-1,-1,-1,720955,-1,677969,456849,-1,277524,-1,-1,-1,-1,295370,-1,-1,173713,77523,-1,-1,722274,-1,521166,743923,276163,958028,-1,957471,-1,-1,-1,-1,488854,708802,576798,967322,-1,481488,-1,-1,-1,252665,984095,-1,-1,-1,271086,-1,944678,938217,-1,902144,-1,794930,-1,85379,-1,973592,-1,-1,158836,-1,804809,281348,-1,996460,726027,14877,-1,57137,656506,-1,97290,179779,12807,49019,-1,-1,535780,745306,742617,295515,722575,-1,980064,184479,-1,-1,966337,-1,728264,735701,-1,-1,-1,816725,110626,712113,-1,260951,33764,-1,944562,-1,-1,542512,-1,-1,-1,-1,-1,-1,332241,-1,-1,450262,972916,-1,-1,-1,801138,167025,36939,148869,-1,-1,44866,-1,-1,-1,-1,-1,616885,980307,496981,703040,672033,-1,407630,1824,-1,-1,906442,192870,103355,160880,801164,394920,108285,-1,-1,-1,-1,-1,-1,898738,-1,252260,-1,-1,903605,201022,-1,-1,-1,921637,-1,-1,-1,-1,373331,-1,415012,-1,445876,-1,401773,309792,-1,-1,-1,491975,806931,111673,-1,689741,683287,974330,169075,245659,-1,838800,797213,-1,-1,-1,-1,299411,702103,378315,911528,-1,988812,-1,722700,846423,732580,69820,394704,-1,-1,306572,-1,-1,400749,843583,192766,237095,442275,144124,-1,922244,-1,987074,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,30945,-1,-1,207898,-1,522228,-1,-1,-1,-1,-1,869619,-1,-1,-1,863372,473261,-1,730368,816259,9772,-1,-1,300264,-1,649052,665686,-1,595580,497143,423516,-1,754977,-1,795297,-1,-1,340650,-1,-1,-1,-1,-1,-1,57191,883691,650593,587179,-1,-1,20060,215029,1309,156289,-1,818124,-1,930042,-1,998722,-1,327790,-1,321275,-1,297865,237793,616654,-1,625072,-1,-1,-1,-1,604170,975839,950374,-1,-1,173891,366093,153156,877136,804276,-1,-1,443053,676344,454311,-1,-1,97181,402487,85496,-1,-1,326979,-1,956893,-1,110039,348938,602200,-1,391950,-1,-1,29454,713770,-1,-1,941846,569783,-1,313546,-1,-1,-1,-1,375675,523150,735432,998964,252797,976976,-1,-1,-1,754696,922410,628365,-1,12620,105764,-1,352754,920120,-1,259723,371343,839539,-1,-1,-1,27040,702713,514656,-1,-1,-1,-1,-1,-1,900236,-1,-1,922922,-1,-1,208405,-1,63977,-1,557350,-1,-1,647025,-1,288455,776523,-1,499287,134811,-1,-1,-1,-1,-1,-1,470447,525889,-1,-1,-1,-1,-1,-1,-1,313068,761813,-1,898374,-1,-1,-1,-1,396174,-1,507258,31079,122870,324033,-1,-1,-1,355233,-1,-1,709002,-1,-1,-1,428123,333114,-1,-1,559731,887846,61977,-1,4106,-1,-1,763306,-1,19828,-1,-1,-1,-1,-1,299207,50400,-1,-1,-1,-1,417577,-1,-1,-1,-1,197343,-1,-1,-1,-1,695428,-1,-1,752384,-1,36911,-1,-1,-1,-1,-1,-1,-1,446497,-1,400958,-1,-1,49990,814157,-1,-1,424547,602895,598113,639635,-1,616982,754328,-1,580525,72357,-1,-1,-1,296027,770577,62199,995371,-1,-1,-1,-1,-1,-1,186598,32585,936631,409654,-1,942513,-1,-1,-1,920233,549241,-1,-1,-1,-1,-1,-1,-1,-1,828246,-1,784848,504411,-1,154502,158386,95308,-1,155332,-1,-1,-1,465691,-1,785719,-1,382907,-1,956064,270878,-1,973872,-1,-1,4462,687354,956842,-1,-1,-1,-1,863750,524656,356076,769714,938921,-1,389546,463328,555075,-1,-1,414021,-1,529500,-1,231257,-1,-1,-1,955603,905401,389468,-1,-1,-1,-1,718618,-1,203742,-1,453452,-1,882527,-1,10515,-1,421002,-1,368821,167357,-1,-1,12230,340873,-1,593968,-1,-1,445171,-1,321682,93771,356855,-1,-1,625397,-1,136862,909704,-1,333972,939629,589861,460988,939432,-1,-1,-1,-1,-1,421508,624628,567923,110999,719971,-1,-1,-1,244375,780422,-1,506220,-1,-1,83965,-1,-1,-1,-1,-1,496872,811867,47947,-1,523849,-1,629313,-1,-1,165019,-1,-1,44165,-1,-1,-1,-1,-1,592551,740803,-1,-1,-1,262125,140654,-1,403822,-1,605411,-1,-1,-1,-1,277239,-1,86939,-1,689718,-1,136295,657692,124880,-1,48103,-1,-1,-1,610359,-1,863793,-1,-1,-1,-1,-1,780810,-1,170606,-1,-1,599913,396475,-1,943624,715192,-1,79102,999605,-1,-1,-1,-1,-1,-1,184587,-1,752764,-1,-1,-1,940437,212635,-1,501696,-1,-1,-1,-1,-1,-1,454471,716988,189142,-1,-1,-1,455361,-1,-1,704174,138817,575997,428038,-1,-1,69722,-1,-1,-1,-1,313626,-1,45728,-1,-1,-1,-1,-1,442378,-1,657450,593628,479649,-1,-1,-1,-1,-1,-1,31282,-1,-1,599909,101901,598565,-1,-1,-1,431975,-1,249457,69833,-1,881207,192044,-1,-1,-1,-1,196041,-1,716149,-1,-1,-1,213618,-1,656232,-1,-1,-1,-1,-1,-1,-1,584170,279887,53939,-1,-1,858636,607798,17103,211393,-1,-1,525666,501138,-1,365883,-1,113272,-1,-1,-1,27973,-1,-1,-1,989755,-1,855156,95843,860005,774755,-1,-1,327339,-1,-1,860537,956510,-1,264527,-1,-1,-1,308598,-1,272199,-1,146543,760954,274615,345552,-1,440868,382535,609782,682072,820041,-1,655596,658309,812855,768272,-1,-1,-1,-1,-1,722951,-1,259633,416402,691993,-1,-1,842401,227215,-1,998754,-1,-1,-1,-1,692740,798474,759333,371131,-1,217037,718032,-1,-1,-1,-1,40040,57370,-1,706415,992979,536596,927683,638641,625797,-1,257055,160855,-1,298833,942191,891087,-1,709475,425990,-1,-1,747087,-1,980432,-1,-1,-1,888040,728096,-1,702575,487662,-1,28280,-1,-1,-1,-1,636770,-1,-1,656625,99916,892877,-1,83983,-1,-1,-1,-1,-1,349040,-1,-1,-1,-1,346984,452493,640667,868478,-1,-1,-1,250892,-1,-1,574698,290043,621680,-1,76060,-1,-1,-1,-1,865906,-1,-1,-1,536389,86404,878767,391329,585632,-1,-1,-1,820571,826742,-1,150575,-1,-1,-1,-1,-1,774894,-1,564547,-1,842953,-1,626410,957726,321769,-1,-1,47428,904624,332614,602894,985647,789536,658014,183448,-1,-1,712183,436847,-1,-1,543542,32186,-1,-1,-1,402552,955975,-1,301667,90450,827254,-1,865649,-1,20293,340713,754389,823947,-1,-1,-1,171643,-1,857239,52623,-1,-1,-1,900281,84294,-1,-1,289290,463788,906523,12600,-1,453811,-1,128573,-1,313327,546449,-1,-1,288382,-1,309688,-1,956349,-1,-1,718418,275280,143292,-1,-1,851605,159382,466198,-1,-1,235944,-1,758141,-1,448252,-1,-1,129945,35832,728530,-1,-1,-1,963706,159982,-1,-1,4729,645808,-1,-1,506230,-1,-1,-1,-1,551535,-1,834601,463939,-1,-1,668010,-1,597469,43719,-1,-1,-1,-1,-1,877395,8171,50926,187352,-1,487068,796430,-1,670156,-1,-1,-1,675185,113273,-1,-1,378227,-1,825245,748236,846963,-1,898466,-1,36914,92640,820397,-1,-1,-1,-1,704582,476293,-1,51363,-1,-1,-1,929605,-1,295740,-1,-1,-1,-1,-1,928871,427048,53387,559941,-1,170474,295449,492106,648976,519329,-1,-1,-1,53796,38137,-1,-1,433697,-1,298047,515573,-1,302476,744025,445444,97446,-1,988450,-1,866341,-1,943127,-1,312713,-1,723755,434106,-1,-1,-1,-1,-1,593174,-1,-1,-1,606512,665513,-1,-1,313796,-1,522911,529930,-1,182346,150108,70412,-1,-1,-1,-1,-1,607653,-1,743944,366388,-1,-1,-1,406687,-1,-1,684326,976484,-1,-1,808662,-1,-1,844999,263407,-1,656126,-1,-1,-1,-1,-1,463991,289264,132914,482779,-1,580415,-1,506349,-1,-1,-1,987866,13691,-1,171749,-1,220033,444604,-1,-1,510512,-1,29411,703745,-1,141775,947274,638672,710471,848642,-1,536257,423266,310803,-1,-1,-1,79957,-1,7564,-1,-1,-1,911645,772042,-1,399883,-1,-1,775239,231626,517625,-1,-1,-1,-1,463037,-1,658653,-1,389134,-1,-1,265144,214639,-1,278421,-1,-1,917848,-1,-1,-1,-1,-1,-1,79927,373677,-1,-1,-1,-1,-1,-1,-1,-1,966870,244632,-1,-1,-1,700802,501987,-1,-1,-1,-1,816142,529469,803365,412580,-1,596936,270192,587367,79059,-1,426289,210967,991711,-1,-1,431112,416731,275855,4002,-1,296177,-1,-1,561726,44111,359686,-1,-1,-1,413052,987142,374754,269569,513224,421810,-1,-1,588597,-1,10686,-1,933800,61108,-1,780173,-1,-1,114149,960836,-1,69310,455669,671919,-1,-1,23994,775564,573111,806619,415827,721741,439562,-1,137656,-1,581325,751793,87770,-1,692446,349389,273949,-1,-1,720334,-1,844857,359580,-1,486910,935187,-1,433223,553898,734205,801401,583221,423178,556307,485679,939991,381450,-1,698166,295505,248616,780302,85394,-1,215848,-1,-1,-1,202448,786187,-1,-1,114399,-1,-1,-1,917957,-1,78227,339734,57003,-1,-1,734832,-1,-1,-1,-1,-1,931986,-1,592318,462022,153766,-1,424983,-1,279310,400430,-1,-1,-1,219930,651921,629938,360568,-1,-1,647452,-1,840145,633234,-1,-1,-1,-1,-1,349667,-1,478015,-1,-1,-1,-1,471254,493755,302418,860746,-1,949749,-1,113238,-1,-1,-1,887827,-1,-1,-1,821469,-1,-1,-1,-1,-1,-1,912189,559533,-1,891543,965189,-1,466289,-1,537723,191765,-1,-1,-1,-1,778951,-1,849852,-1,-1,-1,27919,-1,-1,-1,-1,-1,582935,312490,-1,102198,585808,15723,623995,71599,205641,-1,257879,-1,555785,-1,-1,494453,-1,123157,790478,727231,981115,-1,832552,-1,-1,-1,448791,764553,-1,-1,429561,32536,863602,485413,210411,-1,627691,607716,926943,-1,943719,91123,82832,175400,-1,994487,259,991121,673432,621826,-1,-1,-1,-1,-1,342408,-1,-1,-1,-1,780403,325317,-1,-1,-1,899814,-1,308621,-1,713037,-1,364276,-1,528052,-1,931414,-1,123941,-1,806693,622822,-1,-1,677475,828107,711015,-1,560087,682847,-1,300981,991412,888885,322061,719301,771764,-1,-1,252066,-1,312834,-1,-1,-1,196381,533778,156459,-1,-1,164306,-1,502124,717012,-1,507678,-1,-1,78616,654787,-1,742117,149296,-1,483329,-1,724341,160828,-1,-1,-1,75476,-1,374538,821214,-1,-1,273079,440843,250128,-1,684708,-1,210429,72828,-1,591705,19727,8015,-1,575914,624270,688554,282323,868254,-1,609756,-1,716917,-1,327806,-1,129303,32636,562178,-1,-1,904693,-1,-1,-1,-1,-1,-1,371731,180115,80117,-1,-1,-1,-1,131599,575239,594161,123252,632602,-1,-1,293150,-1,-1,818413,-1,-1,-1,-1,55274,-1,-1,222414,-1,460683,757880,-1,966196,195459,31008,-1,63503,476607,826110,133420,559460,38821,-1,79334,-1,111848,-1,-1,-1,-1,492046,194111,-1,-1,482869,-1,-1,323205,-1,-1,341325,697159,859541,161573,607119,175403,-1,427122,143811,-1,-1,-1,-1,-1,-1,217535,310412,118730,-1,121192,-1,696943,993561,405240,-1,-1,-1,-1,-1,-1,-1,4693,-1,783577,861720,-1,989284,230276,-1,460392,-1,381888,122958,-1,-1,-1,-1,373066,-1,212152,28591,-1,-1,-1,-1,173070,735602,441610,71345,-1,-1,-1,778361,984843,-1,-1,-1,315295,-1,-1,-1,-1,-1,874220,100384,-1,-1,465969,687967,-1,662265,662855,771027,325139,11717,674464,869541,-1,-1,-1,-1,-1,-1,-1,-1,786060,-1,-1,330667,284122,-1,72812,503405,857155,670265,183488,650120,-1,389258,53831,-1,367441,191476,-1,853913,35614,-1,-1,-1,-1,-1,37369,-1,-1,-1,569640,359832,-1,116307,-1,676854,34693,-1,228233,685397,-1,847111,-1,903835,-1,108489,-1,830310,-1,-1,-1,-1,943443,-1,753176,568712,9900,-1,647493,-1,-1,301140,357142,-1,801524,979004,-1,793715,-1,-1,-1,-1,-1,242032,-1,269507,906583,-1,-1,-1,128785,933319,-1,639736,571961,570911,713221,310004,-1,74297,439426,-1,-1,-1,-1,-1,902670,144510,729429,-1,520940,-1,-1,44883,638834,-1,69626,475694,155352,222449,93617,245043,-1,162555,-1,-1,314801,-1,-1,487943,-1,94597,-1,-1,634243,-1,-1,-1,-1,-1,298739,275752,607325,672875,-1,209083,155734,286364,515403,609517,625985,977537,-1,873970,743659,-1,-1,28437,-1,913890,202674,-1,-1,313779,22806,708058,-1,-1,382361,-1,-1,-1,-1,259825,263075,-1,679617,-1,170427,839084,477608,-1,-1,264964,-1,685380,844432,454759,-1,146437,-1,928038,-1,571613,228803,942149,899988,944265,392989,-1,-1,383971,888598,-1,-1,918910,-1,181588,37164,-1,400386,609798,398162,877073,902892,996849,-1,-1,196677,-1,943073,-1,153116,827980,-1,-1,394018,280422,570157,-1,-1,-1,-1,-1,-1,-1,367368,-1,-1,-1,-1,-1,26849,-1,995382,-1,-1,32047,725715,979425,-1,-1,482284,556156,135289,717472,792377,772211,-1,-1,-1,765000,-1,-1,744220,31055,274436,-1,334427,194047,404816,527301,816198,-1,-1,-1,584667,-1,315498,248743,393608,108642,651283,890375,222196,221697,-1,87802,715055,-1,-1,463548,962029,-1,28959,-1,-1,14787,-1,-1,-1,82425,768864,334959,-1,639987,-1,646900,-1,-1,249799,-1,-1,897542,-1,-1,-1,-1,573303,850697,-1,231738,-1,488594,-1,96936,412921,-1,17923,-1,-1,893230,303078,-1,439349,-1,736375,-1,300102,775331,-1,-1,-1,-1,-1,849692,-1,-1,-1,-1,-1,369317,732453,-1,183552,-1,-1,311223,705315,935292,-1,-1,173838,-1,-1,-1,434484,779643,512540,986397,675356,785367,-1,997832,-1,89500,-1,-1,-1,-1,249660,-1,601821,-1,-1,925426,725793,-1,97430,608856,-1,220590,29277,618494,3554,-1,-1,-1,352060,149774,21294,294308,647872,930484,525748,-1,-1,-1,14700,349118,239587,-1,336574,-1,-1,302529,996203,-1,292228,-1,239780,482075,875077,-1,321809,562565,406260,457830,798192,-1,830764,-1,190667,569881,-1,-1,451734,-1,264690,-1,795594,-1,279324,578889,-1,842153,-1,-1,-1,-1,-1,763905,287866,-1,176096,387616,228555,368781,-1,174493,409762,-1,17830,-1,29302,-1,716498,485889,-1,-1,-1,-1,428381,908846,691719,849968,-1,-1,155049,-1,-1,-1,233301,-1,-1,-1,-1,343527,76369,-1,35966,-1,316603,-1,492266,260802,601785,977820,-1,239512,-1,331192,246347,-1,283718,486711,-1,70622,374408,-1,979249,524454,-1,-1,-1,70802,-1,-1,135358,-1,966795,-1,147824,566390,-1,589427,-1,-1,-1,-1,-1,886545,513572,384201,-1,-1,64483,-1,-1,-1,319506,-1,-1,-1,639301,-1,-1,583253,-1,-1,926594,742173,-1,-1,-1,69714,-1,215507,-1,157742,183309,-1,40969,957444,-1,-1,240141,204782,221810,269438,97579,-1,-1,219477,-1,852044,-1,363239,-1,-1,-1,-1,634626,590449,-1,-1,-1,-1,13975,340473,570571,-1,960360,756955,347612,868914,97349,-1,946390,453169,-1,666447,380833,-1,-1,-1,594713,142930,-1,207381,18672,-1,712882,419412,773328,-1,170608,-1,-1,742180,953476,931245,132400,994857,-1,-1,238748,830153,798064,-1,495456,-1,-1,-1,348980,-1,-1,519102,140807,682232,467170,-1,251176,413674,931988,-1,-1,328206,-1,394034,-1,-1,-1,495333,168774,487223,-1,-1,827249,-1,957583,56567,146364,305965,36020,-1,240148,558444,306541,270144,-1,-1,-1,644699,284703,171246,170480,597250,337617,-1,320360,431555,-1,643939,-1,-1,330431,781412,583550,-1,-1,257895,827920,306128,109888,-1,559592,417190,-1,762706,-1,991027,-1,-1,715629,774892,-1,-1,201974,-1,-1,-1,356956,295247,392381,4781,-1,-1,341143,153113,-1,835012,125441,667074,567481,-1,589079,268930,174655,620994,-1,-1,733073,-1,68200,670039,-1,919059,365353,474333,-1,-1,-1,610838,-1,787590,-1,760105,-1,807440,-1,-1,-1,459139,-1,-1,-1,-1,-1,788477,-1,187014,-1,-1,-1,-1,628547,697860,612294,123998,708256,562697,-1,212425,598146,41740,69669,-1,195249,-1,367209,954509,-1,798343,990123,158511,-1,860751,-1,599884,112516,-1,-1,-1,545938,517325,-1,86594,-1,-1,135489,608000,-1,642411,-1,830124,782204,159427,-1,-1,777284,-1,-1,283466,529882,-1,-1,631707,-1,-1,-1,458185,-1,-1,-1,-1,-1,502638,718947,-1,-1,217333,569791,879004,-1,990236,-1,-1,-1,-1,-1,-1,-1,-1,-1,400901,-1,808645,-1,-1,-1,207659,-1,-1,-1,-1,-1,427524,-1,-1,-1,-1,447363,718349,482157,-1,-1,-1,-1,578616,-1,153488,-1,-1,-1,453805,-1,-1,52683,-1,-1,63940,575042,634064,644979,-1,-1,-1,-1,-1,-1,510485,958519,-1,284454,213133,446561,946604,105683,499304,-1,-1,-1,786493,-1,-1,-1,-1,893484,62207,-1,72872,329362,-1,-1,-1,-1,-1,772445,-1,546608,-1,797365,-1,390633,-1,-1,-1,-1,313844,-1,879535,787379,426955,763129,42131,774516,-1,-1,-1,-1,-1,-1,-1,-1,822110,-1,-1,-1,-1,-1,960619,388005,111240,-1,-1,411751,-1,672396,680280,403885,652219,176116,750710,849521,-1,-1,-1,-1,726233,-1,-1,-1,-1,349984,482577,147663,-1,-1,830001,-1,310485,653747,848197,813854,-1,522799,984352,-1,408872,-1,137394,516646,113008,-1,726796,-1,-1,177922,-1,174397,935009,-1,-1,-1,-1,942520,890889,63457,468328,-1,810806,299692,-1,-1,363427,-1,-1,383210,715019,222326,-1,877372,-1,471067,668318,-1,-1,-1,89089,-1,970973,534195,-1,-1,334111,201394,454015,-1,-1,859721,569194,977158,-1,120072,-1,-1,641314,498974,711180,-1,-1,-1,949383,-1,-1,-1,-1,-1,550051,454678,8795,762981,-1,-1,722532,98295,76509,442985,600557,543254,-1,360339,490083,-1,879760,-1,-1,-1,643933,991692,144929,919986,957561,972033,943159,230699,121497,566205,125747,123336,692635,356137,-1,-1,-1,147579,612911,62578,113218,-1,-1,888088,-1,-1,-1,-1,-1,340818,190050,-1,-1,356689,869098,-1,591129,-1,-1,-1,-1,170900,-1,-1,407010,-1,664620,-1,-1,563471,456385,-1,621744,489142,970764,-1,-1,726657,177382,-1,631328,91163,-1,381523,559499,-1,7862,-1,814719,695062,-1,-1,-1,989863,-1,-1,-1,-1,-1,-1,-1,-1,-1,913450,-1,965165,475252,265195,-1,-1,77974,929136,454058,-1,252349,277271,-1,82122,-1,-1,-1,-1,262449,130955,-1,593478,978232,-1,771823,-1,465423,236829,773215,81190,200069,-1,-1,-1,-1,660470,-1,934429,95615,952097,-1,-1,184444,227077,-1,-1,-1,-1,-1,-1,-1,-1,670158,-1,-1,-1,827106,524269,-1,-1,91676,671422,-1,650609,635487,-1,-1,-1,-1,-1,413441,612097,-1,232402,-1,677049,-1,532523,-1,-1,268006,597344,-1,123276,75732,-1,811570,477810,159005,-1,-1,685925,-1,711750,423651,933600,101226,513969,442219,157262,-1,-1,-1,-1,-1,897277,-1,428892,-1,622049,52830,-1,732326,-1,933540,-1,-1,-1,-1,-1,-1,-1,871280,-1,-1,907572,497961,230340,-1,-1,-1,-1,316927,709588,-1,242652,-1,-1,-1,306194,-1,-1,-1,353811,141332,699987,462611,604334,-1,430528,175617,298323,549267,41837,-1,102469,966636,-1,755066,-1,-1,-1,-1,384142,-1,-1,-1,960188,-1,593824,717561,470395,390189,542245,-1,-1,-1,747322,632362,47084,-1,421731,132133,186077,-1,801124,-1,331047,-1,-1,-1,574871,949190,-1,-1,-1,-1,-1,-1,379152,512232,137016,-1,-1,-1,-1,242390,-1,149574,-1,-1,746346,-1,-1,-1,900474,-1,-1,-1,243255,-1,233265,-1,303578,-1,93134,475547,817166,384634,-1,279061,200829,39702,-1,597275,-1,-1,-1,-1,-1,439158,186346,258975,-1,-1,757505,694506,-1,214268,-1,827623,-1,-1,-1,118063,-1,344533,-1,106572,-1,-1,212301,-1,-1,-1,674313,348887,113289,-1,961879,1732,-1,86698,-1,-1,-1,-1,854249,115194,-1,-1,-1,877748,878091,967919,-1,818577,714722,-1,-1,717548,-1,65725,535202,999850,92856,604192,-1,-1,-1,759121,435533,88726,-1,980207,588344,-1,-1,82373,-1,-1,834252,-1,214762,64760,-1,3144,222099,34691,-1,962958,350041,858986,11775,-1,-1,-1,730195,-1,-1,807395,-1,-1,793120,-1,733876,603235,542056,-1,-1,-1,255221,-1,-1,636161,-1,-1,741118,-1,-1,-1,24391,7111,609641,-1,-1,-1,166447,-1,98679,-1,984498,194584,-1,836390,-1,867167,-1,193712,264971,515005,-1,-1,-1,-1,524200,-1,533470,711486,864815,-1,324159,523062,-1,-1,146657,-1,-1,-1,46836,162348,330172,-1,550175,492264,169615,-1,-1,-1,-1,366552,-1,-1,135300,-1,-1,13963,-1,-1,-1,702322,-1,-1,325481,-1,726331,-1,-1,-1,19972,-1,774926,-1,90495,885590,178467,513430,436045,-1,638818,-1,968858,-1,906989,968660,785331,763693,24203,921289,227550,-1,268237,438530,480161,-1,-1,291934,-1,-1,-1,244753,152182,301066,-1,574260,120771,846553,-1,143044,977127,677988,94402,481571,-1,167275,110539,-1,559726,794818,646948,227255,586054,318416,417721,-1,461699,330981,964686,-1,-1,996009,47676,67222,782872,685290,385810,875057,-1,798263,-1,-1,8713,279843,-1,931935,-1,319565,-1,535304,-1,-1,150006,-1,275294,768003,926714,-1,-1,-1,89904,177079,-1,-1,995205,711517,-1,-1,-1,-1,-1,289291,-1,294455,-1,97713,-1,293029,-1,-1,436613,821571,60887,-1,426567,875554,-1,-1,194717,-1,892786,798622,-1,-1,-1,463113,292782,705444,-1,607950,-1,-1,92718,-1,994975,914364,518243,-1,334556,301902,-1,-1,-1,-1,901338,-1,659998,160068,203541,-1,777092,-1,692202,251293,-1,612880,-1,-1,-1,745612,-1,610814,-1,223675,-1,319621,563274,730316,222220,486016,450784,201184,970792,630322,214711,-1,-1,63445,-1,994024,-1,-1,121178,-1,841138,622352,-1,-1,985963,-1,718787,-1,602360,-1,-1,818813,495229,-1,-1,44297,-1,302328,267568,402908,166872,131152,-1,-1,-1,-1,-1,-1,-1,649540,880718,-1,-1,-1,-1,564980,-1,472332,761686,-1,-1,850792,-1,586435,520873,-1,-1,75035,-1,588012,-1,-1,-1,941613,-1,-1,-1,663709,717426,373275,-1,-1,218263,-1,883520,347908,-1,54001,252646,624341,178674,-1,-1,138009,309469,-1,-1,555826,228791,357131,-1,128882,812449,-1,-1,-1,844710,-1,751610,-1,-1,-1,655438,249611,12407,-1,586059,788436,-1,868678,-1,98907,691300,58910,-1,-1,939729,-1,202508,479654,-1,416996,-1,195335,156150,234503,991307,-1,334686,312883,854463,704023,705037,857634,-1,585577,79983,-1,-1,-1,996236,-1,-1,-1,-1,-1,-1,-1,782120,307152,767029,-1,-1,399306,-1,-1,486560,242171,617739,-1,181459,-1,4266,-1,-1,-1,855703,-1,116694,546809,-1,-1,90780,-1,-1,922445,-1,-1,793235,-1,128704,143437,-1,-1,-1,899249,-1,633047,-1,996981,774095,-1,264480,739555,633028,-1,674053,-1,-1,224962,915719,-1,-1,-1,167319,-1,-1,348365,-1,-1,-1,922142,994723,812699,-1,-1,650597,238457,-1,896761,592472,288351,998264,716906,-1,-1,185752,-1,-1,-1,662313,2986,924065,825001,203049,157727,603200,-1,117766,179679,257063,616584,-1,-1,-1,-1,-1,177592,-1,800169,454396,-1,826583,784165,411227,143807,-1,-1,-1,-1,972419,-1,577167,151354,-1,-1,874136,358682,209046,-1,271340,-1,-1,927388,950244,-1,675520,-1,-1,-1,-1,-1,-1,-1,-1,204867,-1,196564,75991,268352,354380,178848,-1,-1,-1,-1,143377,739581,-1,-1,-1,-1,-1,144604,694657,464236,-1,344145,-1,220183,-1,-1,-1,752391,-1,-1,-1,-1,512387,-1,-1,-1,-1,691981,-1,152246,-1,-1,213400,855968,569839,-1,493205,961508,-1,-1,738750,8432,725733,-1,265397,54146,784657,248894,-1,-1,-1,934232,436191,914417,731868,-1,770803,992956,649506,593207,649725,322543,461502,384939,155433,797500,43862,89249,525392,-1,854668,20158,-1,79566,355268,-1,404052,416968,226243,69187,-1,730357,495803,580728,693187,-1,512498,850896,-1,-1,227381,-1,-1,290936,750785,-1,303302,-1,-1,981746,631394,245566,-1,160854,-1,-1,-1,-1,123619,206135,-1,-1,-1,344962,-1,-1,-1,-1,334358,-1,-1,990015,919864,307565,-1,-1,-1,39800,-1,-1,249434,-1,247939,-1,-1,-1,10616,-1,-1,460615,-1,313749,-1,838781,-1,646163,-1,-1,-1,534028,845806,39560,645921,-1,-1,639740,-1,449660,728757,231767,-1,571258,399292,-1,-1,457185,941390,509612,633613,-1,284346,893799,-1,-1,462645,750285,-1,-1,-1,-1,-1,239961,-1,519260,-1,-1,-1,868499,-1,-1,307650,-1,963346,-1,-1,252673,-1,375134,502443,-1,-1,-1,316418,-1,820408,-1,-1,-1,790935,52654,857808,-1,245166,-1,345921,-1,366910,962205,166076,-1,-1,-1,-1,-1,147780,-1,753997,-1,416714,-1,566250,-1,878509,521758,-1,-1,366601,-1,-1,-1,575726,850367,-1,233125,535596,-1,-1,-1,-1,984618,-1,-1,-1,-1,-1,273455,-1,-1,-1,436363,-1,410857,523278,-1,284949,422460,833091,568606,73696,642360,239179,28057,-1,-1,-1,597746,-1,-1,161706,-1,218569,-1,-1,-1,752100,482035,-1,-1,-1,866719,-1,-1,85156,-1,-1,-1,186885,-1,912809,-1,63111,-1,774038,687743,400269,168497,-1,-1,-1,-1,-1,-1,-1,-1,794834,-1,179986,370436,-1,186116,304243,293942,-1,495688,838601,944563,512120,21320,-1,-1,-1,-1,234878,-1,-1,43182,962219,745991,862596,-1,640604,638033,141911,565622,-1,34243,356851,30245,-1,-1,668457,-1,91324,135859,646448,-1,-1,-1,296195,261172,-1,441886,616669,-1,862275,246918,-1,-1,53284,-1,241527,-1,-1,677433,-1,222819,428102,-1,979152,-1,547647,-1,-1,787958,182313,458577,102300,-1,961577,596701,888715,-1,-1,657839,-1,-1,-1,757101,708442,632591,-1,251938,7326,-1,746482,-1,508170,-1,436713,-1,-1,521628,291240,920149,568727,-1,-1,476465,-1,-1,-1,854396,973203,-1,865033,800371,730928,-1,-1,235558,233381,173860,-1,-1,154508,299601,-1,215055,-1,-1,390945,278546,-1,-1,-1,744675,-1,352565,-1,-1,-1,24687,404087,738184,-1,538365,-1,53267,112917,824960,765468,382290,770359,-1,-1,-1,850805,836057,148027,-1,-1,-1,-1,-1,261375,-1,-1,-1,203364,-1,-1,-1,978,393152,744593,-1,-1,50302,-1,101485,-1,705204,-1,239214,740774,768299,-1,891776,307138,759650,554701,-1,353051,-1,-1,141386,283644,677893,-1,-1,-1,652576,215335,-1,243814,-1,-1,-1,779080,492955,482032,-1,521538,624094,-1,818139,-1,780482,457812,251097,-1,94104,646883,-1,62175,644174,-1,896943,667579,-1,331623,966302,479003,-1,-1,544638,-1,-1,-1,712086,603677,-1,403576,377948,-1,-1,395640,289876,488412,-1,-1,-1,-1,-1,-1,-1,-1,855792,123261,879031,540144,-1,-1,652622,-1,-1,249713,-1,648154,-1,2927,-1,-1,179063,989040,258479,796212,-1,43114,-1,961398,-1,933195,613478,-1,-1,-1,-1,-1,-1,-1,645867,12966,-1,859002,-1,653164,-1,408962,559234,-1,249700,591901,-1,421989,364590,631463,-1,8498,-1,222184,-1,916626,-1,962484,157452,-1,-1,96736,678124,286340,491592,252776,618337,-1,217373,980440,-1,914690,266930,-1,-1,-1,63074,-1,114304,-1,-1,-1,-1,-1,833230,316241,522660,-1,430770,-1,-1,-1,-1,-1,-1,-1,-1,892512,-1,-1,-1,157216,410863,862205,-1,-1,408692,942156,-1,123214,889479,-1,8152,977740,532731,554083,167040,746118,-1,15819,139496,485107,427089,538182,572647,-1,-1,833389,74701,847629,-1,-1,978721,392092,-1,-1,-1,636607,-1,110739,264548,55756,-1,827311,-1,7429,54816,-1,-1,-1,864681,-1,-1,220254,741081,-1,354935,-1,726638,406669,-1,745421,79526,777198,-1,-1,152385,798943,-1,78079,922988,-1,350375,438693,-1,103486,-1,-1,32156,839599,735568,-1,202670,-1,754004,-1,379120,-1,-1,101917,256376,608592,984067,724605,290389,-1,-1,-1,-1,317440,-1,390029,-1,605734,516988,-1,363699,201402,-1,366341,242684,-1,-1,-1,-1,596781,487199,-1,960544,-1,-1,-1,-1,-1,-1,691692,219285,-1,-1,-1,-1,-1,659992,78349,545191,626730,838170,5723,-1,-1,-1,130958,427231,895440,145483,-1,-1,-1,-1,832460,418246,-1,-1,-1,699411,993867,-1,-1,-1,-1,887176,1253,-1,883,371812,512373,-1,317190,-1,917740,-1,-1,-1,-1,-1,-1,-1,388592,507079,393293,-1,-1,-1,487038,134665,-1,-1,163273,232114,-1,-1,-1,-1,-1,290809,727322,-1,-1,-1,701923,690334,784267,777120,839739,-1,72507,792930,399842,429803,-1,-1,677511,-1,532224,272702,-1,632776,575270,-1,394587,789412,844175,-1,-1,395667,-1,-1,857254,-1,-1,318746,151818,948946,411936,817833,782571,-1,174251,159297,231775,546459,221209,-1,269074,-1,-1,-1,253658,-1,-1,-1,-1,-1,554041,428587,922813,410077,871122,861333,26477,-1,25031,-1,714847,862586,132053,-1,-1,427355,620680,-1,961576,659074,799764,-1,-1,-1,-1,132507,-1,9706,-1,-1,-1,266337,-1,433610,78085,-1,-1,-1,411912,-1,-1,-1,-1,319737,445732,-1,638812,662651,84125,305304,-1,-1,-1,309271,867130,704040,344818,647176,479875,349128,-1,-1,479099,77499,-1,7144,216074,-1,-1,71416,471838,435841,-1,-1,847837,-1,852845,-1,-1,-1,112617,495766,211058,-1,-1,455300,-1,809740,-1,968780,589382,143918,969754,-1,960328,-1,923103,-1,-1,793936,188919,950264,-1,-1,885602,-1,949174,750158,-1,443246,313110,226224,419304,694039,-1,827923,872249,-1,-1,-1,-1,-1,-1,532714,-1,-1,-1,-1,-1,420650,971826,491680,575459,-1,-1,111078,-1,337784,-1,-1,-1,709789,-1,-1,972244,272305,990575,-1,-1,-1,861034,-1,-1,817607,469374,823506,-1,-1,56214,-1,790769,720694,958377,-1,10647,785699,301531,397627,609658,-1,-1,4042,-1,247449,-1,387586,773918,-1,-1,-1,-1,-1,-1,-1,-1,468648,-1,-1,-1,397668,201594,-1,244000,715921,280630,-1,217097,-1,913851,-1,-1,403789,-1,412451,829781,716616,-1,898291,-1,513111,969781,521214,-1,-1,923784,959065,-1,-1,-1,-1,14706,-1,-1,-1,510023,-1,967627,19807,-1,-1,-1,205913,720413,68449,76742,-1,433263,-1,-1,633017,961214,80104,492363,410693,-1,-1,-1,629655,883294,432270,973892,-1,970296,-1,176351,-1,744181,-1,129638,22738,406121,689026,-1,418226,271289,-1,-1,-1,-1,615109,58788,488951,788202,-1,506902,525495,-1,-1,616163,937819,827975,978913,529369,-1,-1,257396,708137,617130,-1,860066,336228,957963,-1,225102,-1,832789,-1,-1,338997,485097,353632,987874,-1,-1,914741,453741,291037,218057,-1,-1,998790,690135,-1,-1,-1,-1,344722,-1,733408,-1,903283,-1,-1,841823,684415,-1,-1,-1,-1,445286,-1,-1,341077,-1,513844,-1,-1,-1,-1,-1,379858,-1,-1,-1,-1,678499,-1,815283,-1,49229,-1,-1,650787,-1,-1,678673,486534,-1,-1,-1,-1,742766,-1,344656,467717,-1,-1,-1,-1,-1,-1,775500,599065,-1,-1,-1,681084,971913,475842,196847,271761,-1,-1,387325,851090,-1,227878,921830,764384,448917,-1,540596,-1,-1,86135,712633,52973,-1,-1,56395,-1,757426,796571,1879,505916,436618,633760,-1,442288,-1,741286,363378,-1,807623,-1,647607,335005,-1,-1,-1,626130,-1,316304,-1,-1,322116,871349,291958,907758,849581,506531,402013,-1,-1,-1,785211,479881,-1,-1,-1,457181,-1,-1,-1,409006,-1,-1,-1,763907,-1,-1,552437,196545,-1,-1,978000,576535,671169,-1,-1,554746,821106,-1,972870,-1,608738,-1,162367,-1,305906,331102,-1,547773,691120,918848,769650,221967,-1,497813,-1,-1,353955,594282,-1,-1,349141,-1,-1,411532,80711,968436,-1,-1,206045,649514,927634,-1,-1,418365,735739,363601,-1,111977,529140,-1,894974,-1,-1,705713,284057,261890,423238,472926,156542,-1,-1,227068,209766,-1,505655,-1,-1,598272,177904,-1,-1,508979,837961,708172,530343,-1,292324,-1,-1,-1,755944,603191,410694,-1,-1,798567,-1,281987,201704,868894,624700,194328,-1,191066,402196,-1,59644,-1,599872,576363,148179,-1,-1,-1,-1,-1,-1,-1,41321,-1,778605,240829,-1,-1,-1,766891,723586,-1,40994,40421,595319,453896,-1,117894,-1,-1,-1,-1,-1,-1,759453,433163,-1,707081,-1,-1,982657,460692,541299,730191,392627,161138,310759,727668,45663,-1,63404,-1,-1,529482,-1,898935,-1,988460,-1,-1,-1,-1,-1,738315,520485,-1,14843,333359,-1,963696,620946,-1,573258,536978,-1,91040,70316,170736,357920,696595,-1,-1,509903,-1,-1,379091,-1,-1,858553,-1,465629,522771,210638,-1,408919,-1,301832,-1,512846,-1,465770,231334,-1,798272,-1,-1,-1,173156,820045,989704,-1,633414,-1,-1,154774,-1,702116,172219,346198,810758,-1,-1,393291,-1,-1,-1,-1,-1,-1,306171,-1,-1,411951,-1,-1,-1,-1,-1,621462,-1,298596,-1,860945,887261,-1,161591,142428,395162,953120,-1,-1,465194,336181,-1,-1,-1,-1,-1,-1,-1,-1,659821,933565,-1,322635,924257,839441,-1,-1,-1,-1,896612,-1,-1,-1,-1,617416,305024,655247,-1,-1,949387,985997,-1,23482,496564,-1,636784,-1,-1,-1,-1,-1,-1,-1,-1,226804,-1,414891,-1,-1,647416,-1,-1,710126,-1,808276,-1,820547,-1,592338,951791,763964,-1,-1,919432,-1,64920,908283,782526,572650,234921,328053,214865,-1,-1,-1,-1,-1,328963,976392,426265,-1,-1,-1,-1,716543,18759,76278,-1,717709,627450,-1,-1,-1,8193,849261,504370,-1,410520,-1,-1,731304,295321,-1,192315,-1,-1,-1,-1,697571,975415,952392,-1,-1,-1,474366,-1,952563,-1,-1,928496,-1,867018,-1,-1,-1,4184,468863,-1,-1,-1,137639,23956,215840,81561,-1,-1,844662,163555,131396,-1,352613,-1,-1,62799,377211,748711,-1,-1,-1,300845,-1,738062,365509,-1,-1,807323,-1,509546,-1,-1,782519,374989,787102,315394,999709,-1,-1,704670,543841,287548,-1,-1,-1,-1,-1,-1,-1,-1,-1,181110,929087,-1,-1,993077,638086,-1,917943,-1,-1,934961,720605,-1,6790,-1,620945,-1,-1,203538,604081,431085,243658,219537,-1,-1,-1,-1,971548,-1,469751,936742,-1,-1,16325,-1,789935,192108,-1,-1,458812,621900,498290,857249,-1,-1,-1,-1,-1,-1,-1,-1,668392,220440,-1,907157,-1,593028,416453,-1,-1,239743,125746,396215,596617,-1,688539,-1,-1,550551,-1,-1,324117,-1,332808,69383,558405,-1,279325,443334,719079,-1,977432,-1,-1,-1,-1,484170,-1,-1,-1,-1,-1,428281,936431,735961,341909,390578,-1,-1,-1,-1,-1,-1,-1,591921,-1,-1,-1,-1,-1,591497,-1,-1,-1,392195,207979,772488,665521,-1,653459,855558,-1,4145,-1,-1,-1,221724,506905,988657,-1,955659,-1,-1,252204,26587,-1,-1,-1,-1,-1,33766,-1,-1,-1,-1,120617,955045,-1,836507,-1,-1,-1,411401,499125,525037,-1,-1,-1,-1,42345,652410,95485,763869,213472,79645,-1,-1,-1,-1,710545,-1,471051,-1,-1,519715,-1,-1,799964,-1,209972,619769,840301,346597,-1,-1,-1,-1,194852,-1,-1,357911,-1,873676,803363,-1,-1,128061,407730,565066,337451,-1,-1,-1,762629,519526,8207,222523,-1,429089,-1,-1,-1,-1,917321,631435,843262,804298,211637,-1,971373,369297,371511,-1,-1,739577,-1,103095,641309,816047,-1,-1,-1,-1,24088,-1,908258,-1,-1,4287,263270,693230,697088,-1,751155,-1,-1,-1,-1,-1,705842,221489,475434,-1,628697,867468,392991,567535,-1,-1,-1,-1,982307,-1,-1,754083,760732,-1,324794,-1,57546,427034,-1,13431,728386,-1,-1,438146,-1,797386,285365,541385,328895,760891,-1,557158,-1,15083,-1,-1,134183,-1,742217,-1,101201,-1,-1,-1,305840,948417,-1,331607,-1,483040,28728,25039,-1,622473,-1,90152,-1,-1,-1,-1,266175,707274,-1,849315,30465,260711,959520,92697,-1,74549,480846,-1,864456,-1,-1,-1,-1,-1,-1,710941,728394,-1,234290,-1,-1,510782,-1,9602,-1,537434,7762,118958,-1,-1,956246,-1,-1,210647,623468,155664,770812,-1,510724,-1,-1,539458,311226,-1,-1,-1,212781,542062,-1,772349,473400,-1,-1,981219,919239,-1,-1,960266,-1,-1,-1,-1,644863,-1,274760,-1,-1,697418,-1,-1,771944,-1,705721,-1,-1,-1,-1,-1,-1,944734,741251,825925,-1,-1,-1,3453,-1,772474,240922,-1,19300,232978,341438,685856,-1,479539,256719,386250,653368,-1,-1,-1,-1,-1,-1,549379,586079,846242,-1,-1,-1,122348,-1,686098,535428,922352,-1,-1,553472,194102,-1,-1,196918,232373,-1,-1,-1,774694,-1,157423,-1,-1,840184,-1,-1,-1,833144,741028,862040,86373,150626,-1,599690,-1,-1,-1,-1,-1,745522,-1,-1,-1,-1,-1,-1,-1,992960,-1,-1,-1,-1,-1,264058,-1,-1,-1,699003,-1,-1,772744,-1,541711,-1,861146,-1,-1,339620,-1,-1,304894,-1,312950,-1,-1,-1,-1,-1,-1,203852,898175,311259,-1,-1,103263,959051,-1,-1,-1,783388,700999,-1,-1,919849,-1,-1,798382,-1,917179,-1,88842,331324,113045,3145,17006,360186,940726,-1,-1,460121,916723,764339,504104,-1,397337,-1,855621,197071,-1,411090,906629,-1,-1,848077,-1,287254,520506,-1,345193,477360,-1,-1,-1,-1,-1,671650,541313,732524,-1,-1,-1,-1,566587,194915,-1,-1,346160,-1,-1,-1,14421,-1,-1,335741,-1,580249,260805,-1,-1,-1,-1,86797,-1,-1,909511,214216,546672,-1,711641,-1,472952,-1,-1,394535,-1,-1,-1,-1,565632,20605,407977,-1,-1,-1,763378,406056,349650,-1,-1,-1,-1,-1,-1,-1,977002,427579,351850,304954,-1,871323,256979,333240,344651,129717,294702,811365,-1,-1,424397,-1,-1,317623,118610,-1,-1,935001,314717,70984,-1,-1,-1,-1,509489,193834,505354,434221,-1,819968,672519,324271,928039,318436,-1,922911,-1,950123,54634,-1,558214,226119,-1,437674,725835,623279,-1,368285,-1,769282,969093,639940,-1,535356,-1,-1,264416,-1,-1,-1,480308,-1,225987,-1,500971,479233,362794,429176,-1,-1,441562,482292,-1,446343,903206,-1,641188,615278,508668,-1,4940,-1,-1,988407,174657,374125,-1,-1,886921,469484,-1,-1,546968,425899,-1,-1,-1,686235,-1,98744,-1,487380,-1,-1,-1,205639,43498,-1,35572,434163,-1,137720,507933,-1,-1,-1,-1,-1,-1,22273,-1,-1,-1,-1,215707,-1,-1,-1,-1,-1,459615,-1,489177,-1,-1,-1,-1,-1,-1,972977,839381,171211,-1,-1,-1,886308,-1,790816,366192,154997,680387,-1,13664,6627,817464,262700,-1,-1,86289,262299,-1,267960,703418,503534,862597,703235,-1,614876,320008,-1,-1,626163,-1,-1,91386,-1,167417,-1,85914,-1,-1,815064,862377,-1,-1,832317,496305,962319,-1,582536,-1,419257,-1,-1,-1,463926,26494,356000,615719,945771,-1,-1,758966,-1,114863,459343,-1,108611,233559,384,-1,777006,596377,-1,977586,-1,523243,-1,728127,-1,683747,697960,752388,-1,-1,-1,588483,-1,506568,-1,780128,836531,132967,217228,-1,728960,-1,-1,-1,172105,-1,187039,-1,-1,-1,700798,183749,409886,914484,-1,-1,-1,584212,811293,-1,-1,183271,861898,93999,-1,-1,-1,339810,663827,190140,781274,-1,700192,-1,-1,232890,-1,378899,-1,-1,-1,-1,-1,-1,-1,-1,976010,206929,-1,-1,167868,-1,428905,-1,-1,-1,-1,-1,949794,208435,-1,538131,-1,-1,961454,156502,112373,421233,-1,677119,115514,620822,116604,908726,559928,388154,579728,858328,536504,898001,612624,-1,-1,111114,214437,-1,657446,682319,575827,255447,-1,961934,-1,375046,-1,940777,424755,-1,-1,460188,588379,487831,-1,13199,-1,-1,585962,564878,-1,500438,-1,662184,214297,-1,-1,586648,-1,21161,-1,405390,455756,289166,-1,874051,399558,-1,-1,917520,273487,-1,187120,-1,-1,-1,268338,589199,-1,423373,577440,-1,466681,315922,467511,369146,-1,508919,-1,-1,893689,796632,268818,-1,254830,447306,471260,143676,791876,275288,40738,966008,-1,-1,29046,841134,-1,193196,-1,-1,-1,277938,-1,-1,389530,950009,190042,-1,451370,760671,286310,-1,-1,-1,488471,-1,-1,-1,-1,-1,347025,-1,857120,-1,-1,-1,-1,-1,-1,-1,-1,-1,192127,-1,-1,381495,-1,615560,759308,-1,678216,-1,-1,-1,-1,829481,-1,238171,-1,-1,-1,358912,-1,-1,-1,-1,429284,553516,-1,-1,333099,434830,-1,-1,-1,980077,418028,785934,-1,793561,564316,-1,5407,62814,-1,-1,-1,961201,-1,-1,-1,520346,-1,-1,-1,-1,-1,-1,-1,-1,744638,-1,-1,-1,646362,728232,-1,-1,822600,537408,135258,-1,-1,397522,218424,245320,218890,-1,348960,829664,325339,609197,-1,-1,-1,-1,356499,-1,785573,-1,56799,-1,494787,-1,768942,840854,675631,974778,-1,334802,-1,-1,-1,459172,-1,-1,556458,-1,-1,-1,136788,-1,615521,10423,-1,-1,437265,22392,-1,62711,-1,731009,-1,726211,-1,-1,109905,-1,230431,393591,178222,-1,-1,520469,-1,-1,923136,-1,-1,636058,748936,-1,-1,-1,790748,795000,15606,-1,718575,-1,-1,486167,-1,663167,963098,-1,780868,-1,-1,-1,794524,-1,849687,305891,293277,185250,-1,666500,803014,706850,-1,231576,-1,-1,-1,-1,596703,180073,-1,453471,87919,-1,754629,588499,782739,-1,552388,286126,824825,-1,-1,-1,662669,-1,919568,-1,126002,-1,162547,-1,-1,294406,293593,-1,-1,-1,449644,-1,608131,737987,580807,132648,366233,-1,648065,-1,720393,-1,-1,221873,-1,-1,-1,-1,-1,143335,-1,-1,-1,-1,831603,274685,618842,-1,184791,372920,-1,-1,863104,54916,-1,737005,-1,16874,575468,-1,6772,380219,265484,688798,50115,-1,470227,485733,-1,943721,894642,881618,-1,150070,-1,766515,-1,169942,286381,353246,-1,205721,-1,-1,-1,-1,780208,648469,66368,-1,304164,-1,208608,510702,58223,385513,-1,-1,-1,-1,-1,64108,-1,92840,-1,24774,484277,-1,327106,-1,-1,414910,236618,450589,-1,505413,-1,-1,-1,160136,259087,-1,-1,85889,736936,90223,-1,-1,364263,764888,-1,114311,682388,139167,-1,-1,969862,-1,-1,-1,516114,-1,-1,-1,-1,258737,418072,425479,699168,733234,375808,-1,979739,-1,482787,397666,18023,945310,961636,111959,-1,-1,297894,358568,20064,-1,323348,-1,-1,80635,-1,695555,139542,911760,-1,-1,571588,-1,314113,321700,-1,-1,-1,661812,441251,-1,-1,623418,453684,-1,537273,746218,481860,977258,574640,-1,54416,163466,-1,233506,-1,-1,292925,-1,796493,-1,-1,971232,516780,-1,-1,-1,-1,114508,-1,610194,-1,-1,-1,70023,-1,63352,-1,-1,629664,537570,282175,12293,320850,525151,412171,-1,-1,868389,910099,-1,-1,263372,872543,-1,120734,696798,-1,592260,-1,627304,281624,155166,-1,-1,228445,696378,-1,408135,480441,178122,872310,-1,-1,536865,744441,480906,-1,95876,481745,35760,-1,72361,5266,138060,254243,97009,-1,439541,-1,697182,-1,417127,754364,-1,-1,-1,103458,-1,-1,-1,-1,49257,-1,913113,-1,-1,-1,525690,-1,-1,243931,27990,753216,-1,-1,872008,70331,-1,-1,464948,-1,-1,-1,-1,-1,652126,-1,-1,-1,90174,10676,454591,650934,-1,563266,689622,520755,-1,-1,-1,136872,30083,650011,746475,-1,-1,-1,29318,-1,-1,-1,497489,-1,-1,660313,-1,163614,893841,445748,-1,-1,-1,142281,467518,-1,-1,661673,218089,722877,-1,949099,-1,380878,430720,849571,-1,-1,339032,-1,777847,362658,-1,514173,327887,-1,-1,56321,-1,-1,-1,720191,-1,-1,180548,862652,-1,-1,757803,-1,-1,665635,347820,237287,715299,49535,993631,629394,262633,-1,-1,-1,762466,893866,-1,61223,-1,-1,-1,194679,-1,743646,782639,-1,-1,-1,-1,-1,-1,446759,144127,931410,-1,51395,-1,154396,-1,516624,-1,435916,-1,508164,-1,-1,664435,-1,-1,193128,338741,738688,-1,-1,-1,62829,-1,264048,322576,-1,933695,508102,831977,-1,-1,148740,475685,333413,-1,119687,273702,498395,170436,-1,517987,37118,-1,-1,764524,-1,216164,-1,-1,265507,-1,-1,480504,637834,-1,-1,791840,-1,231326,-1,855230,692857,-1,696131,57094,-1,-1,-1,243518,649926,-1,48563,519450,678862,-1,-1,685338,-1,-1,-1,-1,-1,528068,-1,244474,-1,-1,-1,132692,-1,97024,-1,-1,-1,988307,-1,-1,384570,527476,923803,734884,-1,719215,637973,952269,356727,-1,-1,265862,834585,923112,205752,-1,-1,2253,-1,-1,297508,187135,-1,-1,-1,331544,155427,-1,-1,-1,-1,479297,-1,-1,875568,-1,-1,-1,-1,-1,-1,603833,-1,19160,-1,-1,114392,416396,-1,-1,-1,413932,88051,-1,-1,880398,-1,-1,696,29342,201673,639541,576309,-1,-1,-1,251830,-1,-1,-1,-1,-1,-1,302438,347285,82500,855606,-1,-1,-1,307009,873363,-1,-1,147793,-1,767647,-1,849123,-1,-1,-1,-1,-1,-1,771266,244644,-1,-1,375807,664492,300235,-1,548799,390677,782653,362314,15824,273043,-1,644595,486258,-1,-1,280785,-1,80473,751322,-1,-1,-1,-1,-1,68468,-1,426026,404824,-1,-1,172017,-1,303754,-1,-1,645941,-1,-1,-1,606841,-1,-1,460471,-1,-1,719853,-1,-1,-1,-1,-1,646253,544505,-1,-1,-1,490517,455784,716975,-1,180699,477097,-1,60162,-1,-1,903482,909228,-1,-1,862879,817084,-1,-1,889280,557890,325476,348676,370669,112220,-1,-1,479859,245870,542177,-1,89597,-1,95166,-1,84412,126056,672778,-1,-1,-1,642401,500731,-1,-1,790272,719698,-1,-1,752811,296131,-1,409754,170770,-1,78264,816137,836348,169643,353025,17286,-1,367236,417397,207358,-1,-1,602668,593669,428692,-1,840963,-1,-1,-1,200523,-1,676083,466872,661835,481509,-1,285562,402521,436407,877965,-1,-1,-1,729819,184067,-1,-1,-1,-1,803160,-1,230695,-1,-1,918506,-1,120188,457449,-1,-1,-1,-1,-1,858893,-1,440785,867972,-1,806853,-1,-1,258312,294780,-1,177731,123510,-1,115845,-1,212339,792539,519454,843808,268479,170806,787656,251674,-1,-1,573620,218732,-1,-1,32551,226489,-1,-1,-1,-1,991649,-1,-1,-1,-1,-1,-1,-1,629306,-1,-1,43793,-1,-1,-1,-1,-1,428843,358563,731972,74550,-1,-1,951753,232852,-1,-1,841200,-1,-1,940851,-1,941251,-1,-1,472903,391222,-1,-1,-1,183507,333900,-1,903221,734963,781375,-1,-1,-1,-1,887822,-1,-1,698535,964675,-1,431994,-1,837908,-1,311532,-1,-1,546622,-1,-1,671584,-1,-1,-1,439911,-1,622350,637052,993987,-1,-1,-1,-1,548398,-1,-1,196013,-1,74636,85348,-1,-1,-1,-1,-1,-1,363138,187600,743477,-1,578350,-1,472756,437853,-1,-1,272431,667407,604555,-1,-1,796736,-1,732075,281131,-1,-1,-1,-1,-1,-1,-1,86730,-1,601852,936757,-1,195547,846432,-1,-1,-1,977396,762124,-1,567715,70116,947734,-1,66970,-1,380951,-1,886524,775575,295133,-1,245951,-1,-1,-1,-1,234321,-1,346104,828207,-1,-1,-1,-1,-1,803081,417782,-1,-1,244223,626948,-1,750984,464239,-1,792610,467185,791183,-1,181321,946756,-1,713332,-1,191395,836359,-1,13656,933581,-1,944085,42903,-1,-1,-1,336545,-1,-1,518907,-1,-1,-1,-1,966706,43652,147462,-1,598897,-1,-1,818783,-1,-1,902385,-1,-1,880331,949443,90985,543695,-1,-1,716405,970543,500344,-1,-1,979384,327700,945860,-1,153708,-1,167632,310833,456003,-1,726187,-1,437830,-1,-1,499251,-1,329819,-1,-1,821217,-1,-1,-1,-1,-1,69827,105187,578073,73146,943360,479597,-1,-1,-1,488726,-1,-1,328625,340759,-1,815613,409727,115115,-1,-1,-1,-1,683919,-1,-1,-1,-1,75729,-1,970950,378129,446299,-1,719059,434612,-1,-1,-1,-1,-1,-1,-1,809781,-1,530839,-1,-1,986440,-1,400404,780104,307547,-1,-1,407163,987229,830030,-1,-1,-1,283730,-1,-1,290766,734529,-1,-1,-1,-1,-1,101484,-1,660203,454229,-1,-1,618597,-1,-1,-1,591406,371877,-1,875347,307823,154659,-1,11743,590919,-1,510649,538298,574625,-1,327306,-1,-1,-1,-1,667575,348046,933969,-1,-1,-1,210467,-1,-1,791935,-1,-1,643606,91275,-1,-1,993184,-1,-1,-1,966467,217921,-1,814301,-1,-1,542922,-1,-1,912132,-1,317292,-1,137836,418353,-1,701783,-1,-1,973273,583515,-1,351162,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,755872,870677,-1,-1,-1,894338,-1,415014,-1,870513,-1,-1,829218,769928,-1,-1,222207,999506,202104,518192,222961,799545,-1,278880,443379,563621,287857,335813,-1,-1,747032,-1,531603,-1,-1,-1,947963,436464,-1,-1,-1,-1,-1,-1,57084,-1,347945,-1,-1,-1,-1,342858,-1,-1,929601,-1,-1,-1,-1,605968,-1,-1,-1,622231,649868,878562,-1,507620,108180,600425,-1,-1,298586,447032,-1,678863,522634,712252,-1,-1,816351,361871,-1,771541,875252,-1,-1,803670,212697,-1,960192,-1,149058,-1,-1,-1,-1,481532,-1,-1,577994,-1,-1,-1,-1,-1,-1,-1,385195,-1,-1,83960,-1,-1,-1,-1,489609,-1,-1,-1,171586,533560,-1,-1,-1,-1,-1,-1,-1,501226,833663,625592,-1,610601,86274,916198,101299,6964,-1,-1,-1,800726,221745,537211,409094,910643,-1,-1,890608,364241,-1,911913,823203,-1,-1,470909,-1,833926,512682,625496,309599,69808,-1,-1,-1,765651,-1,618140,162130,245427,-1,-1,-1,952844,-1,-1,411439,-1,-1,897448,850969,-1,-1,-1,-1,-1,999210,-1,549950,-1,-1,-1,-1,203736,-1,241149,-1,161421,554018,-1,-1,643934,-1,-1,-1,-1,-1,-1,-1,-1,-1,365579,357734,729057,-1,468031,353569,811113,393902,-1,549540,645611,-1,583717,-1,-1,-1,-1,-1,-1,142432,11093,-1,-1,726115,-1,55815,-1,-1,-1,-1,156566,-1,958071,-1,-1,-1,-1,647397,-1,-1,24041,-1,743802,-1,131423,-1,391944,-1,268356,558554,-1,472366,-1,926122,-1,-1,216193,297144,982378,-1,-1,-1,632210,-1,823228,-1,-1,-1,-1,741871,-1,785801,-1,-1,-1,60564,358178,339243,-1,-1,-1,161901,641478,-1,312445,-1,35825,709315,142745,-1,-1,563865,-1,24611,-1,-1,-1,397030,578888,-1,-1,558083,386654,-1,913798,924677,602777,-1,-1,-1,805838,164887,-1,-1,-1,250308,920842,274018,-1,-1,-1,-1,-1,-1,277017,-1,-1,137126,876885,741413,-1,-1,-1,859235,423352,383317,364991,-1,532843,273032,977128,-1,80873,-1,344450,524688,-1,-1,321632,924594,-1,792214,-1,-1,-1,184203,390874,509097,300626,958374,-1,-1,992122,862070,-1,-1,873219,823985,934191,229329,58440,854119,-1,490425,475178,831447,-1,642304,-1,870835,-1,-1,728560,-1,116959,981520,632283,-1,590233,-1,476638,-1,71783,-1,640173,733018,-1,817356,-1,-1,958261,102897,-1,453556,245843,626556,760639,-1,-1,-1,656896,-1,761372,-1,-1,-1,-1,362534,858965,739590,-1,61077,-1,276114,-1,-1,-1,-1,956788,-1,289902,620676,975521,-1,-1,-1,730621,499223,526635,629033,582302,-1,-1,574965,-1,-1,867261,24990,275212,-1,285586,415055,-1,-1,-1,-1,-1,-1,-1,83057,-1,539430,24953,-1,168649,877939,45159,794819,-1,-1,-1,479324,331545,-1,-1,-1,-1,449263,-1,-1,368478,-1,-1,-1,-1,-1,917692,-1,156642,-1,484736,-1,923226,849777,155728,177006,449127,-1,-1,113902,-1,262117,402787,917587,614656,-1,428653,-1,-1,-1,-1,-1,452657,508507,-1,667323,-1,601047,-1,456800,585932,-1,-1,-1,-1,729286,-1,-1,970785,-1,873751,519985,-1,-1,59344,637386,261486,698706,538304,406949,-1,489209,478765,851744,-1,-1,-1,-1,929103,-1,105630,-1,655586,-1,882010,168068,671364,995350,-1,912981,89084,271721,-1,247158,-1,960065,216509,-1,580660,71494,-1,-1,283013,150648,-1,-1,297540,-1,-1,199739,-1,-1,709275,-1,-1,-1,289471,-1,-1,-1,-1,706070,32868,871746,500586,681368,-1,928486,-1,547737,-1,-1,-1,-1,349137,996328,17922,-1,-1,14335,227719,-1,-1,397275,-1,-1,742214,227455,-1,496236,559459,596365,598289,741502,626914,18581,124374,588451,115998,-1,17766,221109,-1,-1,-1,305405,-1,-1,-1,-1,365755,-1,789390,687180,-1,-1,-1,655218,-1,731870,-1,-1,-1,-1,-1,-1,985304,-1,736050,-1,924229,-1,389345,-1,-1,-1,-1,-1,-1,-1,-1,686621,618837,272469,-1,-1,149765,-1,73247,190985,-1,-1,-1,336978,684330,686273,354869,923076,515195,-1,-1,-1,-1,-1,723536,-1,26763,-1,683669,-1,-1,997500,-1,308973,-1,-1,942135,-1,-1,895584,422631,-1,-1,-1,989405,-1,-1,-1,-1,-1,95839,904762,-1,387338,-1,808159,1729,782557,-1,-1,187508,267282,-1,733155,699353,436589,-1,-1,641791,295709,-1,-1,430084,484637,-1,940775,-1,-1,972907,143945,-1,981030,-1,850175,-1,-1,369433,-1,-1,525467,397473,-1,-1,882185,32816,113857,461060,-1,747837,-1,347113,883197,-1,-1,725508,611356,-1,-1,-1,-1,171200,-1,-1,988912,-1,507650,328394,922763,-1,892055,827502,337512,-1,-1,257801,55145,261120,-1,-1,-1,-1,-1,707902,789295,-1,-1,-1,633305,668034,-1,-1,-1,745168,-1,-1,-1,-1,138324,-1,-1,736407,-1,-1,363749,-1,883955,-1,112074,634727,922092,977260,959941,65316,730600,542411,332757,-1,385718,-1,583610,37632,-1,-1,792810,-1,958208,664380,243286,107261,-1,248913,-1,-1,846463,-1,936107,556824,301281,-1,456048,654589,-1,595598,-1,-1,335291,-1,-1,-1,-1,-1,715166,-1,398682,830684,-1,-1,-1,-1,500828,618895,-1,-1,177630,851094,-1,-1,-1,986021,267994,988004,-1,267678,-1,-1,-1,405547,-1,-1,732562,358820,252419,-1,-1,455465,686920,-1,779206,152923,601033,217160,-1,-1,132953,-1,-1,946077,671398,-1,985149,594355,224554,-1,247377,621779,-1,-1,-1,727928,-1,-1,681675,-1,657137,-1,-1,844819,-1,-1,-1,-1,-1,-1,897394,-1,940208,-1,996360,-1,-1,637885,-1,796497,437616,-1,-1,700666,599355,-1,-1,274632,825051,461466,-1,-1,-1,857126,-1,-1,776316,154840,-1,318239,203344,-1,721849,659505,-1,-1,495486,257264,-1,-1,758686,515213,-1,868905,271065,-1,534752,365964,771073,409540,179522,183423,-1,619097,684449,-1,-1,-1,-1,-1,-1,987518,-1,-1,76516,845866,-1,38508,-1,413849,290021,570639,-1,-1,170791,-1,128434,-1,138496,366227,581573,376361,-1,-1,-1,99939,-1,-1,-1,-1,485943,678152,818362,121644,158031,-1,-1,4696,331134,-1,-1,-1,26565,-1,-1,983732,-1,1110,-1,-1,114346,-1,813917,862794,-1,393986,-1,105490,755557,666318,-1,87231,-1,-1,-1,-1,521307,-1,-1,-1,-1,28083,-1,128070,-1,-1,-1,973186,-1,7382,-1,-1,-1,922301,-1,-1,-1,-1,-1,-1,866498,-1,-1,-1,-1,-1,316260,-1,121374,-1,-1,-1,-1,-1,180020,95547,711967,-1,-1,582360,-1,461785,112613,524430,996499,83807,623394,-1,926300,-1,-1,696538,-1,354017,-1,186785,144110,533188,-1,-1,-1,-1,583068,418538,698961,-1,-1,141189,-1,-1,-1,890724,972026,-1,248155,-1,744756,185102,505584,481871,-1,-1,620334,-1,-1,777443,-1,677084,843022,-1,821994,-1,796626,-1,386556,566583,-1,304972,-1,575836,-1,-1,-1,-1,437270,610413,527739,-1,-1,729895,-1,-1,858808,-1,740287,563276,-1,371234,467676,-1,-1,-1,-1,-1,860276,678405,655868,562957,-1,447097,-1,252590,-1,397056,-1,701219,329562,115491,-1,-1,-1,-1,956144,354839,-1,374095,-1,193773,709197,434361,852379,-1,546936,-1,-1,881496,-1,-1,-1,-1,530478,376430,-1,480089,-1,869769,438514,-1,394503,-1,-1,-1,563169,424801,783099,781852,691574,99895,272167,79827,530272,-1,313369,-1,499092,-1,750410,-1,-1,-1,-1,900350,502127,659975,-1,-1,-1,354821,-1,-1,670868,601938,980091,-1,491247,-1,-1,-1,-1,-1,593102,942767,33537,-1,506406,227428,-1,951233,-1,379675,897217,-1,43729,-1,677085,-1,-1,784431,-1,772104,767309,-1,-1,403859,302225,295701,-1,-1,432392,829709,851932,363159,478204,351208,-1,-1,203332,303328,53421,147880,-1,428874,825575,-1,217948,-1,892957,513393,647019,296813,300851,-1,-1,119103,-1,125966,772010,476590,-1,418980,-1,675458,-1,-1,471201,-1,89715,-1,572136,65799,-1,265243,-1,-1,719081,-1,-1,-1,-1,-1,-1,193439,53873,712911,-1,283984,584852,-1,572354,67449,-1,-1,-1,-1,564388,500613,-1,-1,-1,700625,790405,384336,-1,-1,-1,-1,-1,-1,-1,287568,130602,-1,-1,616728,321740,585586,-1,-1,362484,220365,-1,-1,-1,-1,-1,-1,-1,324702,-1,-1,-1,-1,574072,-1,-1,-1,197520,-1,-1,-1,356963,-1,573893,459634,-1,-1,-1,-1,602184,-1,314034,-1,578634,105084,267356,440320,425536,-1,128315,118826,603690,-1,-1,-1,-1,-1,-1,-1,-1,-1,872928,655894,-1,241594,-1,-1,338473,668965,-1,-1,-1,727702,-1,973807,590321,-1,216439,70474,-1,232087,296377,443393,172383,-1,431906,-1,349415,-1,-1,-1,407552,87979,-1,-1,-1,828621,157251,191587,-1,79263,-1,-1,403298,60999,-1,305378,-1,-1,621884,-1,556396,698343,-1,-1,930577,-1,-1,361561,379737,684013,715014,635537,286438,-1,487393,-1,765090,-1,-1,-1,-1,-1,460965,-1,-1,-1,780370,908327,-1,812928,349190,572598,310391,-1,-1,854250,55118,319721,-1,-1,124743,-1,-1,568684,744842,510509,741774,-1,-1,63080,24783,34488,-1,543607,878340,270717,299646,-1,440678,889023,952911,-1,-1,-1,10139,-1,-1,-1,-1,404972,-1,-1,-1,-1,466169,70180,-1,394768,69678,602969,-1,882151,295225,-1,-1,-1,648183,-1,-1,117510,726676,-1,948758,793132,892263,780273,504091,-1,161345,-1,26059,-1,-1,-1,222230,126413,644652,-1,13976,126901,301929,292034,471008,332187,-1,-1,-1,454290,761497,151344,188626,292165,-1,249534,-1,480010,-1,-1,-1,-1,853493,967765,315001,687438,-1,836695,-1,-1,440897,-1,-1,532004,-1,835778,616884,661517,-1,119214,-1,-1,-1,-1,13523,-1,-1,-1,-1,589002,-1,780669,863,500626,-1,-1,-1,718672,687602,-1,246552,231338,238390,533423,-1,652431,763102,-1,-1,-1,-1,-1,-1,-1,669844,454628,-1,599231,388093,332779,-1,-1,-1,-1,-1,150054,-1,72476,-1,-1,621672,219790,-1,-1,-1,-1,224013,-1,151566,649456,795952,726135,-1,-1,-1,987403,-1,-1,-1,-1,344301,491994,808491,542885,71577,29183,813667,5247,480705,-1,926017,871289,768240,149019,-1,622879,780962,-1,426088,801516,-1,-1,-1,-1,785620,-1,-1,-1,-1,-1,858751,-1,-1,-1,-1,-1,226572,405565,-1,9478,-1,56901,-1,391833,-1,-1,-1,-1,605139,-1,-1,-1,457926,948114,-1,-1,524837,-1,962289,988952,-1,400289,750340,213095,954484,555657,-1,355786,494420,-1,-1,782441,-1,130766,-1,-1,-1,462871,-1,553253,69999,-1,902210,518890,802668,-1,-1,-1,93055,34011,-1,-1,360492,279434,-1,459268,504731,-1,10909,-1,-1,666852,15284,-1,621653,-1,-1,-1,859554,671640,256287,-1,-1,556871,471519,534748,920048,277393,-1,996070,718827,724654,843439,-1,195261,270904,-1,-1,-1,682096,905872,-1,955157,-1,572777,825719,-1,-1,-1,26404,-1,395902,210012,-1,856145,-1,8824,73251,-1,-1,301047,514337,316204,-1,394606,-1,-1,652281,917373,-1,-1,451740,828424,-1,865281,57596,-1,-1,-1,695436,733728,211667,-1,-1,15675,-1,227836,-1,-1,-1,-1,375942,-1,-1,251452,554014,71740,519682,527038,-1,540806,-1,729876,676157,336719,439000,-1,-1,143944,932186,-1,-1,608544,-1,715856,-1,-1,724831,254270,-1,-1,534806,284514,-1,-1,873763,-1,24344,358608,-1,-1,-1,771773,-1,951405,-1,756071,-1,-1,711007,748556,-1,30835,-1,-1,257709,599513,-1,377504,-1,122800,87971,475416,-1,-1,-1,782608,-1,-1,825362,517631,-1,-1,155408,843971,362443,792533,508409,442480,695507,171163,-1,753802,663096,275140,-1,-1,341870,-1,-1,995370,882437,89352,-1,-1,-1,-1,173266,256253,-1,680406,-1,628916,-1,-1,322290,-1,211228,-1,452903,-1,781423,-1,-1,-1,983294,-1,684539,521447,-1,-1,-1,390114,630529,-1,-1,-1,-1,-1,727729,693734,-1,435367,-1,289748,-1,701653,979482,-1,-1,751869,-1,357030,-1,127889,-1,898414,571994,625549,189001,-1,-1,-1,-1,656238,-1,-1,-1,-1,440317,719188,-1,-1,388205,-1,53552,-1,-1,-1,199067,666401,-1,916245,782417,-1,-1,616589,513086,459680,-1,-1,317904,60863,592931,-1,-1,-1,-1,-1,605287,488451,207265,-1,-1,-1,538185,-1,-1,363835,630425,980510,630946,251363,-1,-1,-1,-1,-1,909432,878710,512111,-1,-1,-1,553584,244832,-1,-1,259089,-1,346062,-1,-1,-1,12377,910782,-1,-1,-1,-1,-1,383902,832259,-1,578162,376232,78970,7657,319288,647365,-1,336770,-1,347051,975270,-1,-1,940498,343124,-1,-1,-1,-1,-1,389864,503237,-1,92201,-1,945102,835566,-1,-1,652090,-1,680042,862065,-1,171633,487474,-1,-1,279993,-1,154512,924918,-1,-1,390199,-1,-1,-1,525612,175743,300762,-1,-1,569398,-1,-1,-1,-1,-1,-1,-1,932352,-1,315070,-1,-1,865726,446134,-1,-1,-1,-1,-1,766392,-1,-1,249814,-1,509598,-1,-1,491662,3320,-1,-1,-1,734540,-1,-1,-1,-1,-1,897149,166470,35257,71817,-1,-1,721862,99230,627121,448681,801110,-1,937342,-1,-1,-1,686546,794609,736505,555463,749275,-1,-1,-1,617523,-1,815236,-1,-1,808769,240385,-1,-1,-1,-1,-1,-1,71610,-1,-1,304354,-1,279667,796839,-1,13499,570423,-1,487835,-1,-1,556434,23499,215227,542153,267826,-1,-1,53273,480084,391119,-1,-1,-1,511244,-1,-1,23999,-1,-1,35110,409505,53239,-1,-1,-1,44597,-1,-1,782830,-1,24368,-1,-1,-1,-1,-1,9404,28307,352142,386516,-1,-1,-1,-1,-1,-1,-1,-1,326775,-1,516319,33861,-1,440306,37366,-1,849184,-1,-1,102430,-1,-1,-1,-1,-1,529053,-1,242881,492759,-1,-1,257539,-1,-1,-1,550593,-1,23271,-1,-1,532985,101586,-1,-1,294637,529371,-1,909040,-1,-1,381789,775367,-1,468539,428161,891418,-1,-1,995829,899763,250387,-1,-1,-1,885748,60683,-1,623738,-1,-1,-1,886885,934702,244908,685848,123161,-1,-1,782663,231718,-1,75109,732768,495970,-1,-1,-1,822212,339831,487122,189232,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,583784,572913,-1,-1,32035,-1,-1,766816,990784,-1,905040,-1,513698,799730,838512,537307,107196,926527,468197,-1,-1,-1,746586,102156,-1,-1,-1,339925,945808,-1,-1,-1,-1,440445,56300,-1,-1,-1,634471,-1,714138,-1,-1,-1,99546,477947,-1,-1,355363,759252,499846,354047,-1,757962,723527,360353,-1,-1,113264,-1,-1,780589,-1,796643,668667,749481,201144,988300,-1,-1,187200,-1,610279,872380,-1,-1,213646,676121,479592,-1,553394,-1,-1,702269,831525,328338,-1,-1,-1,-1,-1,560275,808010,-1,-1,501201,288215,54933,889198,125582,687158,89300,667650,-1,872702,-1,429466,554576,-1,518630,-1,426556,400667,52870,890172,882538,899284,-1,246437,857462,-1,-1,-1,-1,-1,67643,136518,250791,250816,-1,-1,-1,86511,-1,928132,174905,-1,302095,889101,78500,-1,682389,-1,900086,595389,823547,-1,973450,-1,-1,768387,130074,-1,343963,957181,-1,-1,-1,655687,411232,-1,97846,299074,-1,-1,404962,678534,263374,-1,740277,320335,-1,603701,725307,-1,308028,-1,718693,-1,-1,-1,652881,-1,867384,-1,847891,180903,-1,304808,854139,-1,-1,-1,-1,1411,-1,844381,208162,-1,861597,-1,544134,-1,-1,-1,-1,-1,-1,-1,379509,-1,-1,469872,-1,311576,978672,466986,709288,-1,-1,-1,-1,20072,186929,866360,-1,903241,481465,-1,-1,776400,985919,942552,97273,-1,586643,-1,-1,-1,102332,84513,-1,-1,-1,295295,534764,237624,-1,521535,-1,-1,-1,6566,890590,-1,812098,-1,-1,-1,-1,-1,199093,-1,-1,-1,910058,275593,194608,72687,-1,652847,176155,432052,859411,-1,484716,-1,432436,-1,-1,715656,955465,765904,512352,-1,-1,74243,-1,843014,293244,-1,3420,601093,65031,800705,-1,584691,722405,-1,420815,242461,-1,556453,-1,-1,-1,817646,-1,-1,320130,-1,-1,-1,-1,-1,51240,-1,786865,544870,-1,638959,6921,127805,772219,13098,-1,-1,-1,-1,13886,218343,-1,-1,-1,-1,-1,-1,-1,-1,106192,-1,615143,513003,-1,-1,415790,718717,957148,374012,389406,69302,69130,-1,-1,94846,-1,-1,371478,-1,968917,-1,627677,-1,-1,-1,-1,461175,-1,370351,474205,68399,16467,-1,-1,298171,-1,205439,897677,992217,-1,649050,944162,-1,-1,-1,528415,-1,-1,-1,166854,-1,943023,289610,-1,727716,-1,168044,563368,86646,908911,-1,-1,-1,-1,362848,-1,-1,447552,633650,726746,272560,573877,-1,-1,-1,49685,687293,473344,301825,466423,-1,450655,620237,563046,973141,485953,-1,-1,-1,743185,573974,-1,334308,-1,-1,199821,-1,-1,-1,-1,770802,483238,531326,834768,162116,655017,-1,376043,-1,312262,-1,367733,46411,61361,478028,-1,-1,178237,-1,-1,-1,822923,-1,-1,542592,509470,722195,-1,804910,-1,704895,451600,844325,853936,-1,-1,966837,-1,860235,859864,-1,-1,-1,-1,-1,137994,-1,-1,-1,178399,-1,299320,618189,-1,447068,-1,536959,-1,914325,-1,-1,-1,768743,-1,792129,-1,225465,781384,-1,58433,989584,-1,-1,-1,448875,56010,644597,601310,-1,-1,-1,636490,398781,308216,530416,-1,-1,-1,724908,-1,592690,-1,454092,-1,851675,376743,244959,503634,-1,-1,-1,123020,605090,967682,-1,-1,736722,-1,808113,395850,-1,-1,49927,920135,778729,-1,-1,-1,-1,165063,268144,-1,-1,-1,137014,66799,-1,772450,29358,479427,491359,758621,170336,53477,-1,-1,589183,-1,-1,-1,424909,15882,432633,80142,787934,-1,-1,-1,222937,405344,665475,-1,621186,785825,-1,964417,-1,81374,653234,-1,817872,-1,-1,763808,1814,597918,943446,-1,-1,950099,-1,892753,300998,780793,-1,33502,781493,-1,-1,-1,692037,-1,-1,347515,457278,-1,815587,-1,972384,638863,560746,-1,-1,-1,-1,-1,952753,-1,824568,749240,533805,652057,339486,-1,649248,155956,895607,144011,759893,607355,-1,385447,-1,-1,566893,-1,-1,860615,574602,369786,-1,-1,-1,-1,-1,-1,405054,217946,476693,-1,608261,-1,753875,-1,-1,453897,846743,371300,-1,403801,441161,-1,534193,692087,353094,332857,-1,-1,-1,262465,-1,823724,-1,154435,363012,-1,-1,-1,535278,-1,151166,-1,-1,874694,-1,-1,94710,359487,562423,85023,869679,-1,551681,-1,338454,-1,582111,937007,-1,965603,835833,-1,-1,-1,-1,-1,-1,475970,-1,-1,491243,-1,923618,-1,190286,-1,650213,368039,-1,241294,525164,540639,-1,-1,-1,-1,-1,606855,945733,-1,50366,-1,-1,195912,993218,-1,832257,39765,-1,30987,397559,139026,525336,-1,-1,294046,12794,261627,873345,295062,759117,-1,468374,-1,552432,-1,298790,652865,995344,-1,410278,-1,-1,477373,-1,264945,343816,302937,605332,134528,-1,675257,-1,-1,-1,-1,489829,-1,271559,129701,106300,-1,816365,164484,-1,-1,-1,143636,852269,-1,212108,246490,-1,-1,528426,202079,923557,-1,211613,81530,649753,-1,816093,877095,-1,-1,454954,-1,-1,-1,326006,-1,87731,425998,690965,-1,977411,379185,-1,401506,452540,-1,-1,911089,643553,-1,-1,-1,-1,602935,-1,817332,930404,-1,-1,-1,166394,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,490156,748218,521621,-1,104995,-1,-1,-1,-1,364134,836428,-1,-1,-1,609306,-1,-1,-1,642383,671827,-1,-1,-1,221191,365867,-1,763609,635435,-1,-1,-1,-1,-1,-1,422316,-1,-1,-1,-1,820895,253687,-1,900628,-1,999372,524208,973237,-1,-1,-1,-1,-1,-1,871390,614549,-1,-1,433297,424725,54332,941813,-1,521458,823815,898889,-1,-1,-1,-1,599805,-1,-1,-1,-1,-1,276158,-1,-1,699762,-1,32387,350676,-1,-1,903196,925150,-1,421737,742791,686445,39685,-1,212982,-1,418186,955672,329361,923893,-1,271268,-1,-1,-1,215769,-1,888446,488243,509899,595658,960872,-1,-1,-1,-1,-1,963103,211418,249264,612066,612744,302346,284775,-1,-1,-1,266801,-1,731886,-1,343010,-1,95762,753556,138886,423911,-1,-1,440739,-1,456330,-1,390380,95594,-1,772694,-1,977771,442192,378709,-1,413554,-1,896699,299169,580957,-1,-1,-1,-1,687204,373308,-1,227282,262681,-1,-1,-1,-1,-1,552539,468674,-1,-1,247375,639521,489913,-1,249329,-1,955770,726820,322321,-1,69766,-1,-1,885897,815337,-1,415891,-1,814731,-1,156197,-1,116967,-1,252284,241806,-1,-1,821792,153783,768984,-1,471234,-1,477511,157363,-1,-1,812020,-1,396543,407145,40023,-1,859653,51807,-1,-1,-1,184566,-1,-1,765663,963817,974833,-1,845153,695068,151642,-1,-1,510374,-1,-1,904061,915925,499503,-1,168388,-1,-1,-1,627789,-1,693285,728591,118961,-1,-1,-1,-1,262803,686453,92367,-1,-1,87222,-1,-1,-1,59918,-1,-1,-1,544501,782604,322714,100949,-1,-1,-1,778384,-1,927400,113705,-1,753456,-1,-1,566325,783462,-1,-1,74765,-1,-1,131739,646527,-1,-1,-1,217078,363881,348091,-1,867252,-1,213858,-1,-1,-1,151652,-1,192711,-1,-1,-1,566472,-1,-1,-1,640148,-1,-1,-1,-1,-1,915833,-1,-1,500583,-1,298426,776326,212634,-1,-1,-1,-1,762393,934848,-1,-1,426693,678141,628954,224779,-1,721127,664554,-1,849283,-1,-1,392910,-1,291993,-1,820152,-1,31917,-1,956821,-1,-1,-1,529951,-1,119851,905437,938134,774267,-1,966802,347397,313057,918479,-1,242230,132909,-1,210183,524486,417528,373062,437328,-1,-1,726843,19254,-1,333912,-1,-1,-1,843342,-1,961318,-1,-1,68067,973192,481325,-1,-1,-1,887638,589007,-1,500119,-1,-1,773140,-1,173985,8343,4746,-1,34254,-1,104799,-1,680540,-1,142214,382215,916285,822812,548115,731937,210848,-1,-1,-1,942085,-1,889499,-1,-1,230476,-1,461441,-1,-1,353854,362264,779168,324405,-1,-1,817803,557717,202898,558074,-1,142258,615511,285614,129934,-1,330683,-1,786210,-1,693808,-1,-1,60903,62575,-1,953448,24804,860770,-1,-1,889202,-1,-1,531271,-1,-1,329727,-1,424089,-1,632958,167240,-1,-1,-1,-1,757608,-1,726670,-1,674234,143835,446586,512841,822267,897529,760495,661455,-1,-1,-1,-1,835038,-1,-1,545551,867591,626437,-1,-1,-1,206848,-1,95885,610298,-1,-1,-1,669629,389433,-1,956533,919891,-1,361383,842963,-1,305690,865185,-1,724548,-1,-1,269036,471617,459024,-1,943295,666987,647013,-1,428717,-1,-1,-1,-1,-1,-1,559915,234785,-1,334138,-1,-1,993597,-1,-1,374928,244593,61996,140742,-1,-1,557753,998049,237542,-1,632134,347846,424041,-1,-1,496171,-1,-1,890557,270032,364526,-1,-1,914309,-1,-1,114602,224900,-1,-1,-1,426956,595027,475363,253399,314951,-1,152919,7418,-1,495340,603026,215111,791984,-1,-1,268087,-1,760690,700410,-1,552979,52884,715283,135188,975230,593451,428223,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,442102,-1,875253,-1,985962,601359,-1,-1,-1,-1,892546,-1,231548,-1,-1,355856,-1,-1,-1,-1,-1,8070,232617,-1,-1,-1,34542,-1,-1,-1,428058,-1,44285,-1,722662,836584,863442,445482,-1,272106,-1,-1,-1,503006,769554,-1,911391,523910,17889,-1,292861,698454,-1,530069,285396,939389,825633,745715,393228,114416,-1,192944,-1,554553,-1,944963,-1,13208,-1,232967,-1,78720,-1,12737,456508,365950,-1,898949,859457,-1,-1,-1,-1,-1,915983,136935,292865,13430,-1,-1,-1,-1,186685,-1,-1,428784,597224,643403,727358,755664,272234,871284,-1,330342,250365,-1,-1,450045,364761,-1,275502,-1,-1,862427,-1,-1,-1,294250,367502,-1,551572,-1,982629,-1,-1,37058,670776,-1,-1,925307,-1,73665,-1,-1,-1,-1,172449,-1,352638,651860,-1,952553,-1,-1,-1,353850,-1,369459,-1,845868,670943,163499,-1,768089,-1,-1,72159,578179,-1,-1,625537,-1,207930,-1,185309,519871,71153,154158,238204,527491,865557,-1,713787,405859,-1,287241,43670,812641,-1,790880,843703,646110,225712,-1,-1,171766,449876,25187,-1,550722,-1,136111,-1,705618,720856,322051,707293,-1,-1,-1,961368,-1,685650,-1,-1,-1,808953,-1,-1,649321,636556,435042,-1,-1,651480,-1,-1,54735,124343,-1,689141,-1,-1,635475,-1,961407,427364,947943,-1,-1,893511,-1,-1,468322,-1,182951,415899,917032,841911,844795,-1,-1,670965,-1,-1,-1,-1,-1,494463,-1,733973,-1,816685,663197,-1,430327,-1,-1,-1,961468,100872,-1,99108,-1,-1,-1,-1,461697,933688,738828,-1,282903,200350,-1,-1,114547,135810,803170,-1,707024,896330,-1,213335,-1,-1,-1,-1,401325,-1,657682,-1,-1,995765,659784,-1,84191,-1,892516,-1,499730,126160,164153,39113,984017,-1,-1,-1,756369,443840,-1,-1,-1,-1,-1,511181,-1,95753,-1,-1,341836,-1,-1,-1,868175,-1,823948,815407,226762,-1,-1,-1,405772,-1,-1,-1,-1,-1,986418,208519,807390,114984,847407,469184,-1,741247,-1,-1,955429,-1,814998,-1,-1,733238,76223,606405,-1,317226,-1,-1,-1,55102,191409,123195,-1,-1,-1,217462,-1,887361,533763,597772,-1,631188,-1,-1,-1,230933,-1,-1,-1,-1,-1,372447,500928,-1,546385,-1,217762,888811,-1,-1,444926,-1,899382,-1,-1,736627,914483,-1,894971,354192,-1,31948,-1,-1,519291,-1,-1,-1,-1,959233,-1,-1,25339,692485,92296,-1,-1,-1,998674,-1,-1,-1,-1,-1,277969,855066,-1,-1,-1,-1,-1,411533,-1,164864,687946,-1,-1,-1,-1,-1,85808,-1,-1,575053,325753,574525,-1,-1,632304,-1,72022,-1,747897,557953,-1,177972,58821,668950,890378,-1,87523,17130,731877,798408,699580,-1,-1,-1,705703,837287,-1,962002,-1,314328,-1,907152,784639,-1,-1,-1,70778,-1,-1,929039,77953,-1,-1,718191,62305,-1,-1,-1,-1,401394,55482,302066,788603,-1,-1,373508,47220,924669,980617,941334,933477,-1,-1,202943,-1,631955,-1,-1,202536,-1,217164,-1,-1,614444,287627,-1,-1,-1,-1,692882,-1,38280,943339,-1,555353,387823,-1,-1,326649,-1,323395,-1,523259,-1,-1,835024,-1,-1,-1,980513,28794,-1,-1,549440,824223,695261,48528,685194,225651,651028,-1,-1,665315,147454,-1,719578,-1,932653,-1,319660,-1,820642,763617,-1,673073,602408,-1,-1,762586,28143,991048,110015,601858,-1,242391,-1,686243,-1,-1,-1,572131,-1,-1,-1,938178,-1,294645,891448,-1,526672,-1,965726,554896,898263,-1,-1,-1,-1,868733,-1,-1,-1,173039,-1,766320,-1,503009,-1,-1,-1,952865,954950,-1,852352,468399,-1,-1,-1,683701,151890,-1,27680,-1,-1,842164,868469,-1,632433,147810,579864,-1,680745,-1,-1,243301,948146,487350,530648,-1,691248,354941,32613,286183,153869,-1,509340,-1,-1,-1,-1,-1,-1,-1,-1,801010,669914,-1,-1,150885,-1,674414,-1,330022,971760,-1,-1,-1,-1,-1,-1,-1,-1,360191,719332,-1,469710,-1,94462,-1,-1,415352,416762,493473,661920,289824,649719,-1,-1,622325,271878,-1,-1,-1,-1,-1,111131,921423,-1,-1,121796,816009,-1,213265,-1,68158,-1,-1,-1,660383,605643,319143,920269,729727,770738,621169,182351,68024,393800,-1,14929,-1,-1,-1,136101,-1,-1,648299,43764,41773,-1,410081,-1,-1,-1,696743,800556,-1,-1,-1,110162,-1,-1,-1,276312,640963,290744,805651,-1,695703,438868,-1,-1,-1,-1,53565,124434,-1,-1,985447,435451,-1,-1,359640,-1,269790,974801,-1,-1,268594,932123,-1,496166,222107,104447,101800,-1,657329,530019,575645,-1,558765,479090,875179,-1,394251,26850,242948,52118,948015,-1,778836,-1,326425,-1,376422,-1,348543,810549,948224,-1,17891,-1,491564,-1,-1,-1,803716,-1,554979,-1,589863,257147,-1,-1,-1,791612,720930,-1,11524,705834,420200,-1,-1,585183,-1,-1,-1,511581,162839,595267,-1,-1,124760,-1,878140,446373,268696,-1,-1,-1,-1,-1,-1,-1,234602,-1,-1,946402,-1,-1,957997,-1,-1,-1,-1,11069,-1,823412,-1,309940,69142,-1,-1,-1,525350,-1,-1,219583,3805,-1,214399,-1,244204,94376,225655,-1,-1,-1,-1,-1,-1,853253,-1,627558,174306,491643,-1,-1,323853,-1,-1,-1,-1,235401,-1,214239,17183,310361,491545,289734,-1,471046,137143,896790,-1,299917,723936,-1,974903,867806,-1,-1,-1,-1,486799,10929,764767,-1,393989,385539,-1,-1,-1,192339,457186,451639,51550,973819,-1,-1,994333,703647,-1,869856,204712,-1,84755,449634,-1,-1,119915,312335,-1,-1,935608,-1,-1,-1,-1,-1,-1,564791,72730,-1,351046,216885,651613,-1,-1,-1,136515,232227,-1,-1,121748,152355,-1,351330,217801,239349,13099,-1,578228,-1,365398,841474,-1,-1,582264,828281,-1,-1,-1,115813,290642,-1,-1,19937,536228,-1,-1,-1,546300,454878,-1,-1,929950,-1,124149,173683,878579,-1,944077,238571,484486,-1,540963,-1,320681,856346,345107,-1,492789,-1,-1,-1,627371,-1,-1,-1,-1,-1,-1,832402,-1,323219,663559,-1,-1,283245,-1,-1,-1,56529,18430,-1,353934,-1,875196,-1,709017,573951,19320,-1,286204,-1,957077,-1,232553,-1,-1,-1,-1,88085,349255,726673,192777,-1,-1,-1,924379,102707,-1,-1,171856,-1,521759,411040,651326,673360,168854,-1,856540,882287,-1,289500,-1,878112,832861,187154,897609,-1,565555,-1,796053,646791,810980,738103,987833,-1,406652,272223,-1,469115,-1,-1,-1,-1,-1,-1,-1,-1,985475,752595,-1,798016,444109,381582,19282,-1,543857,-1,-1,-1,857831,741183,103728,222014,537545,-1,-1,-1,746895,887671,-1,-1,-1,274407,-1,710692,-1,-1,-1,-1,496962,-1,465298,998238,-1,151674,-1,236395,852693,867868,-1,-1,159283,574425,-1,123269,-1,223599,-1,911666,457467,517236,554232,280,-1,52397,879698,431135,-1,244218,-1,-1,766971,147938,155063,-1,-1,724456,-1,645742,-1,694771,-1,-1,879621,266476,745323,780919,629452,988849,548517,453113,-1,137604,-1,-1,-1,794239,186436,81806,593503,924687,-1,-1,735799,40761,-1,113374,-1,27578,132850,133869,-1,-1,751347,404589,654178,70695,374321,-1,-1,418767,403520,160479,265366,-1,-1,795638,989153,215873,-1,331542,-1,955960,144066,339220,-1,779992,959824,429932,104908,365906,-1,126780,-1,847049,559409,-1,-1,844457,-1,156837,434227,932555,812620,263499,336207,513560,394949,868635,-1,-1,-1,-1,608759,-1,-1,-1,63287,246163,-1,-1,776781,968351,-1,-1,-1,193417,-1,565369,-1,248264,568828,-1,583091,672898,-1,-1,-1,395659,-1,-1,-1,331712,779611,399706,-1,919656,153474,984520,21595,121538,911627,170475,-1,560257,588863,-1,802846,-1,774478,-1,654267,-1,506815,270574,-1,-1,904705,-1,-1,-1,-1,417787,-1,105703,508914,995745,-1,893725,450165,434403,-1,572473,743718,-1,822846,791746,557816,895525,983658,-1,-1,-1,240163,706765,671941,-1,-1,82645,450923,-1,829661,541146,-1,461108,-1,-1,-1,-1,-1,672333,459100,958314,-1,689704,401902,-1,251759,-1,-1,-1,183263,-1,70330,-1,-1,962214,496418,615693,900421,415326,-1,615192,286610,757811,-1,355083,-1,930421,856208,844760,278699,428823,899945,297934,-1,-1,633616,894804,905552,144113,882993,848628,547018,635086,944041,-1,798195,-1,-1,589485,-1,-1,461021,-1,-1,680315,-1,816545,979196,890388,69853,-1,171947,-1,226505,-1,763950,69541,85408,254116,785969,402063,-1,815453,140649,225910,-1,664056,-1,35345,167697,-1,915645,-1,93711,-1,211970,449854,-1,92203,-1,-1,-1,543727,-1,-1,-1,821584,-1,564695,608707,-1,-1,843585,962864,-1,-1,-1,248380,921567,458445,-1,339170,633216,-1,-1,634987,746709,-1,792447,889704,-1,438874,720540,668957,-1,223466,670411,674899,-1,216174,-1,-1,879682,627272,-1,830637,127690,908175,-1,-1,440752,609882,-1,451673,-1,-1,-1,462104,926671,533312,-1,37463,155691,-1,478050,-1,-1,860212,463345,968539,-1,-1,-1,661624,429189,-1,-1,745518,-1,-1,-1,790807,-1,-1,-1,95800,355620,485400,157846,491928,455505,572181,374953,661888,772629,-1,-1,-1,369488,-1,5600,-1,-1,993293,924730,818165,800349,373338,-1,416987,-1,260374,-1,-1,-1,452468,-1,-1,818301,-1,-1,41583,291768,703431,-1,-1,-1,942005,26647,293171,141388,309827,747556,193774,-1,-1,392172,-1,-1,-1,-1,914880,-1,182930,-1,482507,811429,670522,-1,-1,472175,374178,-1,-1,-1,418842,-1,743317,-1,-1,617273,-1,261690,-1,-1,-1,778782,-1,252677,-1,-1,-1,859051,378557,-1,688057,713204,862822,248025,62908,590026,12311,-1,-1,867423,871752,775320,-1,-1,112324,264201,-1,563704,379527,-1,-1,930136,-1,-1,151446,-1,-1,647675,232994,-1,612205,-1,621801,-1,-1,-1,-1,-1,105088,299820,-1,-1,-1,406618,-1,999608,-1,894307,-1,312911,484273,-1,531356,612305,-1,596145,-1,135599,-1,-1,-1,-1,-1,-1,-1,-1,319427,-1,664166,-1,-1,197325,-1,-1,-1,-1,548438,-1,-1,-1,191201,-1,598141,-1,841749,479005,-1,416131,-1,17389,-1,617674,652006,590967,-1,375970,-1,-1,-1,82816,-1,462462,-1,-1,364705,881900,391013,-1,498478,-1,-1,151557,-1,875449,-1,927371,184983,383800,-1,-1,540650,-1,-1,479610,-1,-1,276433,-1,-1,986653,490888,-1,297121,846094,581860,726568,722620,433375,577855,218108,313125,-1,-1,676974,-1,915147,-1,-1,21654,638611,240785,-1,935540,444676,-1,141105,-1,170560,657903,961017,-1,471841,355796,-1,-1,-1,849405,-1,-1,497291,-1,564218,-1,-1,469796,-1,603133,-1,137972,766413,140366,-1,172104,613112,-1,128463,-1,978971,215659,643228,-1,516694,-1,254271,-1,-1,342182,380469,260947,916518,-1,-1,-1,-1,764753,918221,-1,-1,681557,295851,381057,-1,-1,208575,552778,-1,945483,814899,-1,912889,-1,74684,-1,211052,-1,59429,150424,201223,-1,453117,118627,624869,-1,-1,771253,273474,504786,15296,713914,-1,248192,693727,750630,342911,731978,860986,361378,-1,-1,465615,280508,-1,924262,200093,684419,61291,83290,-1,-1,-1,-1,-1,-1,-1,789171,-1,546441,-1,-1,513613,-1,75532,471244,819772,-1,-1,596710,196352,401038,-1,451676,387274,454347,206151,990847,-1,313469,-1,563589,-1,807796,-1,540605,335328,133839,633175,391536,365033,-1,-1,-1,-1,887761,3824,-1,-1,426305,932969,178579,409760,615309,699569,-1,59954,-1,-1,952283,-1,-1,77985,-1,-1,-1,995167,-1,-1,-1,666244,456842,-1,317306,707476,-1,-1,125825,-1,-1,159049,786671,552985,-1,243974,447558,165649,319268,-1,-1,-1,-1,765849,-1,818672,-1,228464,559639,-1,-1,-1,-1,467706,-1,-1,-1,-1,-1,-1,-1,986551,-1,152048,-1,94172,-1,493836,-1,-1,-1,-1,714288,451891,-1,-1,486716,57883,-1,370541,-1,-1,-1,-1,448774,955333,-1,-1,228347,-1,579952,-1,-1,-1,-1,474280,515235,-1,-1,-1,848317,275500,261560,778098,173030,863801,196986,-1,974590,711785,-1,281115,1949,-1,609519,-1,834944,-1,317667,-1,163731,-1,-1,246893,742267,-1,497728,-1,365055,139226,637131,314074,-1,-1,-1,105967,-1,-1,904601,326240,-1,-1,-1,680028,-1,378870,720636,583513,-1,663640,-1,683654,-1,393180,775480,-1,-1,-1,-1,-1,-1,505412,-1,155023,-1,-1,758203,-1,100054,786872,881433,509449,-1,-1,926413,-1,-1,2764,954042,654877,-1,517398,-1,177740,258293,499981,126393,965089,597915,-1,-1,305127,679624,-1,-1,-1,659011,330879,-1,910512,-1,878471,980424,901666,-1,20540,-1,562226,-1,-1,-1,65129,-1,-1,-1,-1,432910,-1,16286,728962,457404,470228,-1,605336,-1,-1,835173,-1,-1,-1,-1,280056,124811,-1,-1,467253,-1,929984,985675,776133,666717,-1,-1,602351,416893,-1,777073,-1,-1,-1,-1,-1,-1,33929,455767,638330,678965,-1,430008,936227,-1,-1,197742,734033,820830,765575,-1,778405,-1,581590,-1,760680,-1,-1,492965,8819,-1,-1,590108,-1,-1,-1,-1,-1,580512,-1,858919,464386,-1,-1,-1,850495,-1,-1,137453,957349,102948,902323,-1,879797,98619,-1,-1,458731,-1,120022,-1,-1,638574,455396,507494,-1,-1,-1,-1,273284,526292,883261,612576,440694,-1,392241,766937,117622,-1,-1,215719,529711,118671,-1,662917,-1,-1,-1,-1,116169,-1,-1,-1,-1,150586,62402,-1,-1,949223,-1,-1,365841,-1,494790,80544,183418,-1,-1,740165,775091,-1,-1,-1,-1,386552,-1,236583,-1,-1,787167,-1,-1,-1,-1,-1,160330,-1,-1,672441,-1,-1,-1,-1,-1,641704,-1,-1,-1,-1,904652,947945,396553,827977,662598,290403,-1,-1,-1,-1,24966,-1,523387,87434,35005,865340,656328,-1,-1,245294,739551,600695,-1,916608,321222,631306,158612,677248,-1,781625,697414,779994,-1,918883,192477,655020,-1,949809,594612,900992,911372,719751,225745,639991,-1,795879,124222,119631,531422,-1,-1,-1,-1,-1,-1,203225,907105,-1,-1,271345,-1,423065,-1,849306,537277,304450,-1,683428,757948,14316,-1,-1,11543,134858,-1,44590,929295,-1,431784,144649,215631,-1,-1,-1,-1,-1,73268,316117,405540,874708,438992,128378,-1,-1,575285,-1,83332,-1,-1,967434,-1,-1,-1,-1,284325,260035,253971,370798,304579,-1,-1,225131,978704,379753,-1,133109,864644,668121,26516,-1,-1,-1,521626,189748,-1,467803,637225,-1,880924,-1,-1,-1,583444,794866,841743,-1,30670,-1,-1,-1,-1,788810,-1,-1,-1,101636,291283,468065,478516,887672,518747,-1,774847,826916,96095,-1,725074,-1,-1,168510,100112,296502,-1,-1,484912,732668,-1,-1,112804,-1,17662,349133,452914,782573,-1,297427,606569,572892,64032,-1,984750,768363,256747,-1,-1,-1,-1,820,-1,456246,573068,609022,226419,-1,-1,348533,574706,67848,-1,-1,481455,-1,-1,-1,202560,-1,560684,188887,-1,156888,379808,647031,662116,132646,866515,513881,545370,135747,548480,-1,-1,-1,-1,200872,-1,-1,29420,986733,797677,600066,139681,-1,-1,563233,639174,-1,-1,686267,-1,996845,493337,-1,-1,-1,327388,-1,-1,994923,-1,51300,620653,370855,-1,710853,-1,824128,-1,-1,343269,351659,-1,-1,199239,384525,-1,-1,508449,155441,454964,-1,-1,-1,247527,-1,-1,262118,182359,-1,-1,160537,188061,-1,-1,-1,196793,-1,-1,-1,-1,-1,-1,210215,89422,61670,-1,509768,-1,-1,-1,-1,123661,-1,551785,661395,247076,63234,942218,-1,664285,-1,-1,-1,-1,599647,917543,352351,505420,-1,-1,-1,286454,-1,-1,866772,-1,301630,913626,193608,978870,-1,476497,780623,712510,-1,-1,245883,-1,-1,565864,-1,682226,970352,803319,899994,-1,-1,689222,204755,163972,-1,-1,567536,-1,467355,-1,-1,523835,373955,-1,-1,414753,790771,56333,-1,-1,-1,895312,-1,926224,-1,593540,-1,772435,106090,-1,-1,-1,164085,263054,616976,-1,-1,774004,-1,227467,-1,276477,-1,-1,792598,976816,849688,766117,551692,-1,-1,-1,46826,118516,-1,-1,-1,-1,857919,805319,245640,-1,8307,563029,-1,-1,95109,-1,990620,210404,168849,-1,51302,-1,-1,416970,279610,814375,611974,222296,486208,632812,-1,992499,-1,-1,-1,-1,-1,782361,454735,490403,655440,-1,601222,181031,-1,-1,-1,-1,-1,-1,34515,-1,-1,-1,640354,312060,-1,-1,838159,-1,-1,-1,-1,524750,829538,-1,710102,-1,10349,-1,-1,126210,-1,-1,-1,-1,22835,-1,283950,261773,-1,114173,577282,713422,20346,-1,-1,-1,-1,-1,411275,184641,840401,-1,-1,-1,987382,-1,-1,-1,-1,-1,-1,977143,-1,108998,206841,-1,-1,-1,244395,-1,726485,-1,125192,302635,-1,763371,980814,-1,-1,245191,485422,-1,-1,-1,-1,-1,637677,615084,-1,-1,-1,2201,-1,470186,283530,-1,-1,840929,484563,-1,-1,-1,-1,-1,914747,281394,-1,880914,126253,555054,68812,933673,-1,4634,961210,-1,409343,-1,710802,721411,336107,591023,-1,-1,-1,42283,-1,537667,-1,557091,107623,142020,629279,250130,-1,-1,-1,-1,-1,384631,223392,949815,779933,794109,203214,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,811567,-1,-1,-1,-1,-1,-1,347863,-1,-1,568679,-1,719093,170714,-1,108433,-1,207925,418239,-1,447354,-1,-1,154832,419008,270766,-1,-1,809086,-1,-1,197196,805263,159317,343545,825317,342449,-1,830631,-1,-1,-1,969784,102078,-1,379478,5781,-1,-1,-1,269423,736860,-1,-1,373268,-1,244496,493137,-1,342434,-1,-1,-1,264275,-1,-1,141596,-1,502445,914313,904001,-1,887496,46104,-1,939446,625658,-1,514183,-1,-1,747319,593663,319496,-1,566277,477133,635097,-1,870029,-1,-1,-1,-1,722661,422968,-1,-1,-1,519123,894484,139159,758730,-1,13135,463659,734035,-1,701665,984004,-1,41892,-1,808437,216701,387760,611607,-1,-1,493199,-1,-1,927552,-1,-1,-1,741559,326611,-1,-1,693525,-1,846632,9150,-1,775153,599048,865151,-1,241895,-1,-1,102065,562077,426076,-1,-1,219955,482716,-1,523392,796851,-1,-1,-1,656801,-1,-1,966948,857734,39773,-1,-1,49256,-1,823982,618117,-1,555916,-1,637631,681071,618434,-1,647275,-1,701706,679571,-1,-1,687441,97423,-1,-1,273462,206203,512447,-1,-1,-1,-1,143719,-1,-1,435229,-1,720490,-1,-1,-1,-1,-1,408445,-1,-1,517667,-1,321490,-1,-1,-1,411664,-1,923721,-1,-1,-1,677875,-1,-1,-1,-1,-1,-1,-1,738857,-1,765507,-1,-1,-1,312710,-1,-1,-1,400196,-1,244222,-1,44593,512492,-1,-1,299223,-1,-1,-1,-1,-1,-1,-1,801511,296508,877271,-1,903177,44149,205131,-1,-1,223822,241544,637009,110747,787417,-1,6999,969427,-1,550639,27494,-1,490890,-1,-1,635173,972432,-1,54804,260875,-1,-1,-1,829856,-1,-1,203411,18470,-1,-1,777227,-1,-1,-1,627088,864802,-1,-1,-1,-1,560027,565761,-1,661462,-1,232513,-1,437789,-1,860653,-1,-1,401343,-1,-1,265513,453520,379000,181072,-1,-1,-1,-1,430749,-1,712839,864268,-1,-1,403880,-1,851897,36965,-1,-1,759609,-1,771978,669740,-1,290056,-1,426711,-1,86763,837672,-1,-1,418122,-1,-1,721983,880278,-1,309369,541755,-1,600755,362833,-1,696107,190685,238031,490851,-1,374060,-1,935122,975738,27001,-1,689720,915236,-1,890596,961107,-1,397836,-1,857430,318668,502624,388452,-1,-1,955033,-1,-1,-1,-1,628727,-1,-1,-1,555945,-1,920080,825012,75014,432404,-1,26684,569190,759521,417530,236452,-1,-1,-1,165623,-1,-1,557916,-1,230355,-1,-1,-1,393022,411497,-1,-1,-1,-1,-1,-1,-1,609844,-1,-1,-1,741004,-1,-1,583415,-1,912402,336237,-1,-1,-1,-1,-1,-1,-1,806344,398225,232719,355657,900953,279449,370434,-1,279013,-1,-1,698641,591378,-1,-1,18880,-1,384443,-1,-1,-1,155806,-1,-1,465664,-1,949417,-1,643612,780983,-1,-1,143997,-1,-1,930365,-1,831975,882243,929071,-1,946845,-1,-1,784306,-1,-1,24755,-1,-1,-1,-1,151589,947391,510568,-1,627324,-1,43178,551591,-1,403556,-1,-1,-1,746544,-1,530285,-1,984784,575492,844044,-1,630501,-1,559521,343082,344466,-1,781776,-1,872403,794500,-1,652853,941740,311936,854325,640895,-1,-1,633373,250268,262938,-1,-1,-1,354481,321636,979755,-1,-1,-1,-1,84248,97069,142047,-1,115900,883159,68671,248566,-1,-1,314250,-1,952201,75640,875977,704228,300142,-1,-1,-1,61320,-1,-1,-1,516677,-1,692559,316843,841930,501092,-1,960443,-1,-1,339297,-1,571688,-1,-1,558663,-1,-1,464438,527567,642887,-1,-1,785453,-1,-1,-1,674338,-1,-1,36724,307809,527887,-1,985742,149409,-1,-1,-1,65244,-1,-1,844879,209381,-1,-1,228333,796480,-1,417476,912646,785656,745835,211578,-1,-1,185627,-1,300850,-1,505803,-1,414357,239720,369479,948788,-1,-1,718012,681644,-1,811348,-1,462326,206157,-1,226379,-1,-1,-1,409095,464328,-1,-1,-1,699420,-1,400020,198386,47164,-1,986098,822424,276555,120217,993908,-1,-1,-1,-1,-1,-1,892426,-1,-1,667378,913366,-1,237821,-1,793234,-1,175104,-1,301482,112060,336524,-1,-1,-1,115786,184838,915881,265418,-1,-1,786929,509678,-1,-1,-1,325063,199609,-1,-1,699022,-1,726501,-1,931545,-1,-1,799187,-1,182488,574176,-1,-1,-1,904745,792404,341887,385515,-1,741846,634151,-1,233467,760670,-1,56530,863057,-1,-1,745079,-1,-1,-1,-1,-1,-1,-1,830599,208178,-1,-1,961333,386779,791865,-1,764041,378889,352640,347004,701001,190798,-1,-1,462682,704267,-1,999618,99180,727532,-1,-1,-1,107825,980822,-1,-1,-1,-1,74379,-1,-1,749923,510674,-1,-1,-1,-1,856316,-1,-1,517994,-1,452432,352198,141743,-1,885317,466850,832615,-1,200546,-1,-1,-1,409847,34320,-1,-1,376383,287049,-1,297063,751836,-1,-1,402589,-1,-1,876221,-1,-1,738077,424864,-1,735050,-1,-1,314216,-1,-1,316268,-1,559143,201789,110108,268536,-1,-1,-1,651728,324673,-1,723512,-1,451099,819523,-1,-1,875388,-1,-1,-1,-1,-1,485017,215518,416378,-1,-1,-1,-1,512560,-1,-1,923394,-1,798068,-1,-1,-1,611575,973793,-1,855443,-1,-1,74693,835139,899585,-1,622330,604352,-1,-1,-1,480917,-1,821682,-1,-1,467611,222567,13117,-1,388522,979513,-1,-1,-1,-1,-1,345718,311317,498036,-1,635629,-1,446608,-1,-1,-1,989963,-1,-1,874710,34071,-1,-1,-1,846742,625609,-1,48490,775768,-1,-1,855865,-1,575701,-1,217351,246826,-1,-1,-1,-1,292797,-1,210398,-1,-1,-1,-1,272442,-1,-1,895954,470934,-1,-1,-1,50491,269728,-1,658339,102323,-1,233878,864670,-1,-1,-1,-1,142569,98981,-1,-1,948334,-1,133727,-1,477180,157179,-1,-1,913694,618276,-1,-1,215924,-1,-1,-1,-1,768528,-1,622572,627461,-1,-1,270969,-1,476096,-1,982815,290697,-1,993773,-1,837100,-1,-1,-1,607155,945009,363071,901616,-1,832176,568286,898884,-1,-1,-1,-1,805875,370583,598524,-1,356633,63,159346,-1,-1,-1,594590,-1,913815,-1,-1,774437,-1,-1,-1,198499,-1,-1,-1,572246,220864,-1,128048,765484,504013,121234,-1,297506,-1,-1,-1,183820,995040,805060,798826,453296,238287,192491,363877,596968,692816,-1,76724,220533,-1,94466,-1,-1,263190,-1,314025,181776,19683,131097,-1,904412,-1,-1,456965,-1,-1,690981,663353,187438,-1,-1,941497,150829,497510,364540,546681,930334,380589,-1,184955,-1,-1,290275,890994,233779,-1,732042,571355,135665,780678,150190,623789,-1,-1,-1,-1,-1,111883,-1,342103,983323,-1,180159,-1,264457,382650,-1,897121,-1,-1,266383,-1,388537,307203,143236,881216,-1,-1,723050,-1,955140,450054,236597,-1,-1,-1,729479,-1,874638,745742,-1,-1,835632,578550,-1,344527,37169,754192,-1,-1,-1,239748,-1,-1,183829,684533,-1,-1,-1,-1,-1,-1,-1,-1,876045,846202,-1,67526,-1,-1,-1,20161,-1,12443,-1,-1,643028,776619,553499,-1,218844,276030,-1,604220,766151,354209,201237,-1,638724,892419,581652,-1,-1,-1,534750,155025,211224,-1,75480,715837,-1,-1,162272,999997,499370,-1,305333,-1,-1,-1,-1,-1,-1,344031,558900,-1,-1,-1,-1,-1,-1,633797,617150,-1,850744,-1,188741,-1,277131,-1,625384,408383,-1,-1,-1,854707,-1,-1,860834,783707,-1,-1,287096,922241,139348,-1,35739,833489,-1,843460,915543,-1,837671,-1,-1,-1,-1,474629,-1,-1,149864,-1,411909,429377,-1,-1,77632,-1,-1,392500,-1,-1,-1,-1,-1,361858,289305,-1,-1,553604,27590,-1,925465,-1,568294,-1,795365,-1,-1,887102,-1,-1,-1,-1,585245,-1,633149,351222,101788,674708,-1,195974,-1,378633,-1,989545,917502,-1,-1,169220,162943,451279,-1,-1,-1,-1,-1,880229,-1,-1,968266,983707,-1,-1,87097,591392,177253,-1,-1,-1,-1,-1,-1,740246,529676,-1,522362,-1,-1,-1,-1,474055,-1,529167,-1,-1,-1,-1,870919,-1,-1,-1,921445,-1,691827,189991,-1,50860,-1,-1,-1,-1,-1,-1,-1,276591,-1,468005,-1,-1,-1,87967,-1,830905,-1,938950,413006,-1,569809,271528,550439,643825,-1,1246,-1,-1,209321,-1,496097,373077,-1,-1,-1,169336,-1,321124,-1,304525,-1,545444,-1,-1,-1,734309,-1,-1,61580,283413,-1,-1,161556,430409,624536,48773,-1,639887,369555,609395,47166,-1,813300,785492,-1,-1,-1,-1,676767,-1,140800,872322,202539,980794,795883,-1,816282,763233,-1,17810,-1,829968,-1,679325,261740,-1,682960,249394,-1,829703,-1,949699,-1,464772,-1,-1,501185,195564,-1,104193,417514,480087,154440,-1,-1,948187,330536,-1,540612,-1,-1,257443,-1,-1,-1,-1,413122,990809,-1,-1,517992,-1,-1,-1,230870,30812,-1,-1,-1,-1,994564,-1,-1,606964,183631,-1,774917,-1,3196,-1,633251,-1,-1,747092,411075,-1,784560,436923,-1,-1,-1,477626,-1,755446,-1,504131,-1,-1,-1,8363,-1,-1,154577,-1,-1,-1,956570,-1,-1,768876,-1,700881,612280,-1,-1,-1,-1,73446,46883,-1,748646,643906,-1,-1,491743,-1,660638,650479,-1,345528,-1,-1,-1,167867,242864,-1,-1,-1,-1,-1,493394,187156,-1,-1,-1,-1,-1,-1,554800,130979,202545,230533,-1,495031,407129,664977,763467,304095,339543,165811,-1,44357,932867,73835,996684,633242,385892,794448,582665,-1,326571,475760,-1,-1,375965,772705,-1,-1,698321,-1,69372,-1,710317,407567,749320,-1,7358,464558,132876,882194,111522,-1,-1,675050,-1,745634,-1,956302,827517,638564,-1,295954,429294,-1,887289,91962,-1,978635,974922,-1,627612,504587,774044,176838,-1,112071,158140,770267,-1,697333,-1,788449,983017,-1,588731,-1,536236,-1,751781,-1,-1,-1,153884,141461,-1,-1,-1,-1,475283,-1,929442,563134,-1,576485,197454,-1,-1,99876,-1,-1,221147,-1,721012,-1,31011,-1,-1,478312,734943,946242,-1,-1,-1,-1,345265,-1,-1,82400,279950,129069,475829,-1,932491,788936,-1,752841,341057,15678,-1,286999,-1,558961,397604,742302,299964,360295,-1,485910,82176,-1,-1,552018,956783,624908,-1,-1,571206,-1,-1,503951,830689,432823,260522,-1,480159,-1,-1,126312,744739,57472,325850,333609,646923,518240,-1,692790,-1,-1,214441,-1,-1,486562,-1,-1,30051,-1,557962,406682,-1,893529,-1,-1,-1,420127,965163,406006,610261,-1,712466,403188,-1,-1,-1,633066,9715,-1,-1,643426,586659,992102,-1,208725,-1,-1,203910,-1,452628,-1,966544,-1,27615,734810,963869,163806,-1,472591,165663,973093,-1,-1,852204,-1,418612,323739,-1,-1,92547,-1,-1,-1,467505,967904,650851,925178,-1,91299,804466,-1,580366,242124,707287,-1,340929,767903,-1,192353,762193,-1,67178,-1,-1,-1,509121,-1,201963,-1,845313,-1,-1,-1,-1,-1,499947,470755,338937,-1,-1,975578,356543,-1,-1,-1,145871,-1,802953,453415,895029,-1,-1,491464,-1,655072,-1,-1,-1,-1,165438,-1,-1,326123,-1,-1,426946,-1,-1,-1,951103,-1,-1,-1,-1,-1,-1,443784,438421,-1,186588,-1,331124,-1,290718,-1,-1,-1,-1,-1,-1,890286,-1,-1,-1,-1,-1,-1,985224,-1,-1,-1,-1,-1,383374,-1,361473,-1,-1,-1,593262,233239,985307,-1,-1,185947,498866,577713,-1,621977,-1,262345,149314,-1,-1,15861,-1,503321,930124,66900,-1,-1,906044,-1,946513,498572,556162,321372,392281,-1,-1,-1,693115,-1,-1,-1,-1,94072,-1,946547,108196,193058,-1,-1,682476,-1,-1,759624,-1,-1,-1,416355,417899,-1,-1,-1,674302,-1,209964,127704,-1,204488,106323,-1,972003,-1,708510,-1,-1,753349,538708,432443,-1,-1,966476,831342,-1,-1,172029,376531,758816,520001,-1,-1,-1,494634,-1,120182,-1,597470,-1,-1,-1,-1,746737,-1,-1,324359,-1,420199,532643,-1,614966,509632,902705,-1,563543,216561,-1,-1,-1,-1,-1,899229,335728,873656,504903,504816,-1,139326,-1,540632,-1,648628,150100,427838,-1,984741,262565,-1,-1,-1,-1,838802,11092,415238,508374,984345,778297,-1,-1,-1,-1,-1,568251,899510,917500,711334,-1,684962,304161,-1,-1,-1,-1,399413,218046,-1,-1,987393,530754,-1,748524,-1,-1,-1,750655,652470,-1,669207,-1,-1,-1,-1,-1,295210,697264,-1,-1,230892,-1,-1,-1,-1,-1,-1,-1,887840,719114,311041,207838,-1,268573,-1,88177,296806,17200,534057,-1,-1,-1,-1,-1,-1,497629,-1,-1,185168,36308,-1,-1,-1,-1,433052,44951,942991,577355,830580,-1,-1,770071,-1,400266,-1,-1,-1,221579,157893,831969,-1,515017,480032,94005,952527,-1,306278,382525,946633,-1,-1,-1,159086,-1,-1,96274,-1,553203,-1,-1,53849,145497,-1,-1,-1,961324,197569,814933,-1,-1,355317,302450,513463,550904,-1,-1,880731,573386,-1,-1,714507,-1,56964,-1,-1,871110,666811,786297,-1,835238,62233,856370,-1,490809,586409,-1,947921,-1,241330,455944,490399,-1,29912,-1,523769,-1,908188,39079,-1,330226,-1,787840,-1,929705,-1,-1,-1,781256,-1,-1,928121,-1,-1,736416,213212,-1,765844,805655,999128,945631,494573,-1,649173,934696,996093,-1,395095,-1,-1,-1,365684,706833,439697,-1,-1,171812,338716,-1,103321,-1,417910,120901,946439,-1,-1,-1,995773,-1,-1,289498,130734,-1,581751,633102,-1,204222,355006,-1,-1,716895,-1,-1,919997,-1,-1,-1,-1,737854,411237,428369,809241,-1,381025,-1,-1,609460,-1,407355,961630,-1,-1,-1,355026,-1,795984,640949,-1,-1,182763,850430,318739,-1,-1,284478,-1,-1,240509,-1,345515,-1,-1,782192,-1,-1,-1,-1,-1,-1,64976,-1,-1,391690,298284,-1,397636,973131,-1,-1,159127,-1,291534,149948,-1,865957,869682,388926,-1,-1,-1,-1,-1,757358,-1,817288,485384,-1,802987,443533,-1,88938,-1,274705,-1,48966,853585,-1,-1,-1,-1,145243,196005,-1,-1,-1,1310,640271,-1,-1,-1,123313,411273,25622,-1,926502,135443,532168,-1,-1,828996,-1,470305,-1,112245,-1,-1,-1,162387,850700,-1,-1,-1,-1,-1,-1,-1,854410,789862,-1,-1,708900,743613,-1,-1,766997,894242,-1,-1,177897,692964,733717,-1,-1,940885,-1,208148,-1,-1,-1,445230,-1,-1,131407,125284,-1,-1,-1,869866,662084,413984,622803,-1,-1,235899,-1,-1,-1,-1,-1,-1,-1,157859,259061,42303,-1,-1,269464,-1,-1,481108,-1,-1,-1,-1,-1,538041,289187,-1,-1,-1,957229,399714,-1,148410,-1,591284,-1,400974,-1,790196,548479,362361,-1,-1,44787,-1,779457,935381,-1,685163,409777,-1,535765,-1,848746,-1,329998,537862,883991,512512,-1,-1,-1,-1,-1,-1,-1,108549,301402,-1,619927,357962,851937,428703,-1,-1,-1,648499,-1,506569,749289,-1,-1,366078,472472,-1,336779,-1,994240,344186,-1,193499,860949,-1,-1,-1,375951,-1,-1,868153,-1,89521,832050,-1,-1,-1,301830,198057,278256,-1,-1,-1,216859,290498,-1,-1,171115,259843,529762,-1,-1,482755,-1,493372,-1,90599,348349,-1,-1,-1,-1,-1,-1,152680,-1,265289,-1,-1,-1,854646,159546,-1,648726,-1,-1,68787,-1,26273,-1,-1,-1,-1,343438,444502,-1,765055,-1,899,309074,987470,-1,696777,648871,96440,63088,848141,-1,-1,-1,-1,-1,774799,196150,-1,-1,844031,-1,-1,-1,196285,276611,310303,-1,991463,-1,-1,877843,-1,-1,-1,589685,-1,-1,557461,-1,743596,-1,-1,59900,-1,-1,54574,-1,673128,-1,-1,-1,-1,-1,639417,-1,-1,293342,696605,-1,-1,-1,-1,978727,285199,936634,773037,-1,-1,630832,-1,-1,409144,507682,-1,719525,748121,567090,-1,-1,-1,-1,-1,8345,-1,493409,975362,850927,375071,-1,59477,-1,157120,767586,-1,-1,-1,-1,-1,-1,-1,-1,308392,306047,226692,-1,144828,-1,-1,-1,580879,-1,-1,315751,486398,-1,-1,854850,882488,-1,963747,-1,566676,189063,-1,-1,-1,-1,239232,-1,-1,752029,731294,-1,899709,-1,505518,216728,-1,348849,255352,-1,840305,-1,-1,-1,-1,-1,145139,737034,-1,339448,937892,407242,434995,451433,987086,637533,-1,98968,-1,-1,-1,-1,-1,249025,584309,172461,-1,-1,249134,816560,-1,509307,440262,-1,478734,-1,516494,-1,513576,-1,-1,-1,-1,-1,-1,-1,393961,-1,184026,137293,757514,852700,48280,-1,-1,519791,561673,-1,-1,-1,165117,-1,499100,-1,349595,849628,-1,-1,805141,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,63703,-1,204489,538746,-1,-1,891773,812609,-1,249695,-1,-1,-1,314646,-1,330969,325026,-1,-1,-1,522716,548917,-1,931225,360652,893206,-1,659810,-1,564276,47652,-1,274876,-1,220880,811463,-1,536155,769675,422934,-1,-1,711032,-1,818000,908923,153617,-1,-1,732853,-1,-1,15381,81735,624353,38336,-1,717813,473906,527619,-1,-1,-1,775742,829471,530857,760779,573645,174289,-1,91568,-1,160723,954200,-1,68920,-1,-1,918514,-1,264752,400799,892808,473595,967648,-1,672313,-1,789515,-1,-1,-1,305298,-1,909394,419803,-1,-1,-1,455203,570331,908359,-1,598252,-1,529622,429950,-1,522720,-1,678903,-1,-1,455110,196980,-1,934976,712890,-1,874342,360326,603142,-1,-1,443257,159966,766935,-1,-1,847469,-1,528737,778775,-1,-1,351306,-1,324979,-1,847157,434655,992756,494692,579356,-1,-1,-1,652093,-1,922329,-1,-1,-1,483903,877313,786196,-1,533072,-1,-1,770382,-1,89099,-1,-1,-1,667403,-1,-1,195265,563062,590045,582861,-1,-1,-1,-1,542468,-1,-1,877705,547347,-1,247320,341068,-1,265083,644500,294161,-1,-1,-1,-1,-1,30687,981374,-1,309539,-1,526156,441833,415180,-1,-1,147233,244757,499096,-1,-1,829687,-1,397260,-1,-1,-1,-1,-1,427629,-1,217022,145178,587957,479939,986437,-1,-1,-1,958186,530681,-1,-1,425817,-1,62265,76084,-1,-1,-1,-1,-1,-1,369868,-1,752995,-1,-1,-1,730345,45029,128448,716046,729589,209981,-1,-1,-1,-1,-1,611548,-1,-1,-1,772103,-1,-1,478066,-1,46723,-1,-1,5465,-1,-1,-1,347446,890524,507793,832745,-1,95589,712545,-1,-1,-1,-1,-1,148383,-1,-1,-1,367233,-1,-1,123868,-1,-1,335991,60405,991378,-1,545827,951715,903335,-1,-1,-1,696287,-1,-1,-1,-1,-1,63226,962077,-1,24989,-1,-1,-1,-1,909160,730058,408936,935702,-1,-1,-1,-1,949058,-1,-1,538154,650701,-1,-1,170292,808591,95820,-1,859333,-1,179247,372559,-1,-1,675897,280466,-1,-1,-1,-1,167561,-1,-1,81279,-1,-1,-1,-1,-1,846281,872386,-1,-1,625115,-1,838221,98544,-1,594944,780689,179801,-1,643614,-1,-1,-1,141246,-1,589232,675369,866008,-1,415771,57082,608673,-1,624072,536307,-1,-1,491214,-1,-1,-1,96963,-1,-1,503765,89781,137637,-1,-1,773702,802147,-1,359274,135288,786820,463538,-1,21997,-1,-1,691983,722693,686989,900577,-1,197308,-1,777215,-1,-1,990170,-1,685232,363650,-1,-1,801743,-1,447549,213338,47847,109926,758868,537704,-1,841931,-1,-1,762062,401801,665576,-1,572346,-1,-1,76951,551353,-1,123680,62954,-1,971855,-1,-1,-1,-1,-1,-1,-1,-1,-1,997027,-1,349712,-1,-1,-1,137094,-1,61439,-1,528452,-1,29481,140078,988235,-1,570407,613350,89612,320759,-1,172282,409751,945174,541253,28844,-1,126301,-1,-1,432837,644520,89794,-1,488862,-1,-1,971227,362635,514044,677505,-1,19225,-1,-1,971277,888806,-1,420671,36309,467771,-1,112215,-1,-1,148484,381103,445651,378392,-1,786233,-1,245498,592865,560794,-1,-1,-1,-1,-1,464383,-1,999027,-1,893543,-1,555795,-1,-1,368851,553800,-1,926360,-1,320635,-1,643841,323361,-1,669069,103027,606457,-1,856009,-1,-1,-1,544711,-1,486401,797610,-1,207776,-1,414059,-1,-1,202133,594257,458671,974225,798697,641835,150552,43385,-1,-1,-1,547203,817657,174953,596942,-1,53612,436028,-1,861137,-1,739250,616114,365399,171568,-1,-1,437196,-1,-1,643987,518213,971669,-1,820148,-1,-1,-1,-1,-1,-1,-1,-1,206945,399354,512065,-1,662588,-1,941955,280028,-1,867785,94801,-1,512423,351699,-1,151968,468812,-1,989896,223304,-1,-1,450026,16909,-1,-1,625562,-1,-1,114767,-1,623577,267241,767519,-1,-1,-1,279258,966766,-1,824761,628694,410215,176686,-1,167329,-1,890003,-1,274944,-1,672662,193681,593686,158770,-1,-1,479106,123454,-1,377648,511068,-1,-1,199186,235470,-1,-1,664610,583860,173345,-1,423761,941019,734111,-1,-1,868118,11212,376503,-1,838783,881706,244604,-1,-1,13110,-1,-1,362069,-1,987150,-1,-1,-1,215987,-1,-1,-1,131998,738585,-1,42700,-1,-1,-1,-1,-1,867279,-1,-1,25122,374771,557111,-1,667833,893,-1,-1,50114,985806,-1,807035,-1,716615,780385,-1,414952,719795,156898,-1,499041,-1,606303,-1,-1,-1,384584,356003,217943,-1,797700,287411,-1,901353,258342,819889,547123,916263,866531,849562,917105,942628,-1,-1,-1,-1,24574,221792,-1,821777,494169,-1,-1,-1,543867,968566,-1,-1,638153,844827,-1,976038,1420,-1,-1,774909,835430,-1,633208,-1,-1,569406,983771,246147,72413,-1,842665,348731,-1,901190,923454,-1,30441,293036,-1,-1,-1,-1,-1,986339,-1,667991,-1,286362,-1,524923,856927,-1,-1,-1,-1,-1,444275,918183,395728,-1,-1,-1,427036,617355,-1,502251,-1,50646,-1,-1,581676,-1,-1,749264,378925,644366,454316,-1,228254,992904,41630,-1,-1,830719,-1,232862,-1,938516,158507,-1,143064,816967,-1,-1,233158,-1,847628,8708,434358,-1,711583,-1,-1,910421,235125,573632,-1,875525,280144,-1,142324,266643,-1,-1,-1,606550,47949,611591,-1,-1,165174,-1,-1,-1,565832,48832,281503,-1,584134,74248,-1,-1,85506,106354,-1,-1,336694,920065,243257,-1,-1,457238,881057,376265,393934,-1,-1,657291,-1,-1,-1,-1,-1,-1,186545,655043,152465,-1,779230,-1,151797,948781,-1,738149,731920,-1,-1,-1,-1,707366,-1,-1,473496,-1,-1,980602,883840,413091,324140,305313,822372,291244,-1,929832,-1,-1,-1,358019,994794,-1,308425,899158,951789,-1,770260,-1,-1,107065,549151,587161,705207,-1,242244,-1,817817,173480,142204,948786,-1,49292,283098,318715,-1,909208,404167,-1,267590,694297,-1,-1,465920,-1,-1,590539,-1,-1,-1,30001,89359,267340,-1,268986,-1,469663,-1,-1,468046,-1,218832,-1,439788,-1,-1,46659,358513,692506,964654,832959,-1,-1,989544,-1,578994,818876,-1,665374,-1,55074,-1,755099,427596,-1,-1,115691,210686,-1,217029,-1,-1,-1,352812,-1,454772,904284,18784,-1,641455,641133,-1,-1,-1,693012,-1,764137,217059,601153,39754,717703,518720,721700,-1,705022,-1,509190,393794,-1,-1,-1,675382,180415,703771,-1,158113,850647,304870,409128,56968,436275,-1,-1,830386,923073,-1,-1,205726,-1,-1,556706,792424,90141,-1,220503,-1,-1,940324,309042,817681,-1,561808,92406,393092,466309,819544,546181,776934,535667,-1,380181,167468,79129,-1,-1,496251,967697,-1,-1,871302,774662,456197,-1,-1,-1,-1,-1,-1,79595,93074,-1,543908,-1,-1,58996,248441,-1,-1,116115,-1,-1,149539,-1,-1,98989,702881,-1,-1,269805,14236,600017,-1,282529,675800,278070,335263,-1,-1,737239,139618,-1,555862,881409,-1,409246,96629,-1,41644,-1,267649,363983,-1,-1,-1,4873,32996,-1,-1,-1,-1,-1,-1,364876,321187,-1,466214,-1,-1,-1,774200,996034,-1,429058,231298,703781,-1,-1,588269,-1,611634,-1,579291,674768,909169,27103,942375,-1,-1,-1,191365,429131,356102,-1,26927,-1,-1,-1,911516,-1,-1,281447,254235,-1,1250,-1,-1,-1,434905,99671,549807,-1,-1,-1,-1,516894,257286,718502,-1,-1,-1,572510,244897,264241,291519,-1,-1,-1,624904,-1,-1,652716,821342,947001,637303,509215,-1,-1,-1,477435,-1,-1,-1,534578,508469,842380,223059,-1,-1,-1,-1,272958,-1,-1,-1,-1,-1,-1,785531,-1,-1,-1,-1,-1,-1,169311,-1,-1,-1,-1,-1,594294,177061,-1,289542,965397,-1,-1,-1,529878,884066,-1,-1,556350,504207,-1,419253,-1,-1,642030,437582,732537,414327,284908,302452,-1,593498,-1,467781,429654,307554,-1,-1,-1,-1,-1,-1,-1,806395,969239,-1,509384,-1,303556,562631,-1,118861,623472,-1,8215,-1,-1,-1,-1,-1,200036,950645,764173,849068,-1,-1,-1,413452,312104,318758,260148,624566,279865,266044,997818,589906,632973,-1,500867,-1,377691,862673,138207,826994,-1,-1,-1,921124,-1,-1,-1,683974,455199,-1,-1,731894,509362,-1,330763,-1,22657,-1,713714,558753,-1,633211,-1,-1,490892,-1,519052,575043,-1,114557,-1,-1,-1,927909,917807,649843,788028,482174,971858,-1,-1,968593,742432,-1,234845,-1,-1,482243,298048,147102,-1,-1,-1,356068,-1,-1,-1,483766,204080,642224,-1,93407,718379,-1,293900,-1,291463,701385,-1,-1,373061,-1,-1,-1,-1,957362,-1,932487,-1,-1,228009,450139,20306,883695,603618,433315,-1,-1,-1,-1,973387,130620,-1,-1,-1,590690,269875,-1,998375,36649,851200,-1,592294,612232,-1,-1,-1,484617,-1,-1,-1,121336,-1,621374,541890,-1,-1,879111,562113,970359,-1,40066,-1,992590,-1,221753,108833,91089,911603,-1,-1,24653,-1,772583,198700,327351,616931,546736,76687,45245,-1,199163,452085,157858,-1,-1,-1,-1,-1,36604,72980,76429,-1,-1,876380,-1,-1,-1,704166,-1,919532,97038,718989,-1,-1,774094,9416,566220,171600,639180,-1,-1,39289,263000,487601,-1,-1,985571,-1,191532,830054,954579,-1,997891,-1,-1,880016,-1,-1,609819,-1,882508,-1,803108,23323,-1,-1,29445,-1,-1,-1,962084,-1,692239,-1,-1,127178,221158,702034,-1,-1,273684,-1,-1,994446,-1,536305,-1,-1,593019,693983,341429,104467,551989,-1,897085,-1,-1,698405,-1,60618,503344,-1,-1,854272,887697,421659,-1,610555,408417,-1,68027,-1,983502,128472,268678,676962,582851,693927,727298,493322,656863,-1,-1,-1,812155,-1,992041,460110,619879,-1,522793,-1,359512,862266,515528,-1,412904,-1,526225,-1,-1,-1,-1,575530,913183,37460,-1,301774,-1,-1,757620,-1,705513,-1,-1,469190,-1,-1,282207,-1,351705,357622,-1,-1,-1,-1,-1,-1,642020,600339,-1,785962,891827,-1,905738,-1,-1,897951,262697,-1,512656,491915,-1,-1,72333,-1,-1,-1,-1,-1,-1,28503,324320,-1,327327,679887,-1,-1,561630,121292,159344,-1,-1,-1,835993,958859,304897,-1,-1,565849,-1,-1,915165,-1,-1,354750,-1,-1,-1,-1,-1,-1,383072,332886,300599,409250,387703,723470,-1,593533,110086,794552,-1,-1,-1,97765,-1,6609,456068,542896,-1,421046,-1,771548,801395,87428,-1,-1,198986,-1,-1,531232,982318,404030,-1,582353,-1,-1,-1,-1,-1,599391,943793,168009,-1,-1,663171,-1,-1,-1,-1,-1,-1,-1,-1,-1,221765,865973,-1,746042,71501,245632,-1,813348,312981,789384,686422,-1,786981,-1,-1,-1,-1,509844,-1,-1,-1,337952,-1,101390,542234,158223,-1,14281,-1,-1,-1,540655,-1,-1,88371,-1,647974,516293,764797,-1,87208,-1,-1,-1,-1,-1,-1,61747,-1,669054,-1,-1,44968,-1,-1,-1,-1,-1,-1,901934,-1,-1,187333,330592,-1,-1,776596,385821,737035,-1,766802,-1,278645,459384,-1,-1,-1,-1,-1,766530,-1,663858,377487,-1,-1,-1,-1,852289,-1,-1,-1,-1,-1,315389,-1,-1,308258,-1,132952,-1,-1,882394,442232,229190,596162,471724,700761,7559,-1,-1,-1,-1,149709,-1,-1,-1,174705,-1,-1,-1,28092,488126,325787,-1,923031,-1,807965,-1,-1,220603,159326,-1,-1,-1,-1,920685,-1,-1,-1,509646,91780,348095,499408,-1,161185,-1,43025,697909,-1,-1,-1,675595,-1,-1,-1,497022,-1,-1,-1,437977,227196,-1,14807,718559,360993,841696,944542,436091,-1,-1,68051,-1,-1,748138,-1,656804,993478,-1,-1,664810,-1,-1,-1,-1,558616,682902,-1,-1,-1,-1,57267,-1,-1,667056,665221,-1,-1,-1,737265,522446,-1,-1,164419,-1,-1,-1,-1,-1,544401,87362,684641,-1,103006,-1,-1,651558,-1,-1,618074,-1,429286,-1,860051,-1,760031,-1,111806,30986,924917,151459,166790,352024,-1,855900,-1,214855,735507,935505,866690,468605,623573,946379,-1,-1,825233,166500,-1,929670,-1,-1,260160,879494,385067,-1,-1,-1,-1,258993,-1,-1,862279,702266,-1,-1,-1,64170,350494,575089,-1,-1,-1,662547,-1,898432,218707,587404,-1,-1,-1,826287,440460,-1,-1,240980,-1,288673,-1,732689,198902,760038,-1,208140,-1,55258,170087,618711,-1,20815,-1,552351,-1,783454,-1,-1,53287,-1,-1,-1,-1,-1,-1,572025,-1,-1,897720,-1,-1,36370,-1,483120,-1,-1,136353,-1,571382,-1,-1,989841,-1,-1,-1,306430,-1,-1,-1,251638,724531,-1,58072,-1,-1,478205,-1,-1,-1,38343,-1,682577,643168,593792,370144,-1,-1,549991,858483,-1,662626,-1,910885,-1,-1,770051,233870,838561,-1,895911,941115,-1,-1,-1,110204,-1,744318,-1,11481,342064,-1,-1,538809,-1,761149,952860,809604,186123,-1,-1,-1,-1,-1,871858,-1,334359,-1,598512,-1,-1,-1,186121,656706,-1,345719,-1,-1,824700,211297,-1,-1,-1,787731,-1,883314,-1,-1,431744,237681,-1,895858,-1,871909,338512,349742,324529,-1,-1,-1,810274,-1,-1,398757,513092,-1,-1,-1,71340,-1,-1,130407,812033,779715,-1,-1,775345,207837,465499,706466,-1,-1,-1,-1,-1,-1,-1,682728,-1,917222,811919,-1,-1,243228,-1,334872,307250,-1,701887,539569,363833,-1,653672,309934,886253,-1,-1,909968,808049,665616,-1,-1,239014,881437,677761,697557,388322,320848,-1,-1,163626,717186,-1,-1,73061,203250,-1,895855,-1,192794,288483,211371,-1,-1,392173,560762,-1,638089,264681,-1,-1,134091,572127,717358,-1,660113,297289,-1,-1,5524,-1,672744,406798,-1,-1,260370,-1,-1,741391,952509,-1,-1,-1,118806,226286,24465,-1,364754,878643,676434,447386,-1,53392,502677,648561,-1,-1,733059,825727,490048,610015,622856,-1,-1,-1,217861,449521,-1,-1,370052,856359,457437,979924,-1,-1,-1,-1,-1,901582,480614,572409,122786,-1,-1,127507,-1,-1,854064,59912,440084,85292,-1,-1,-1,-1,-1,612456,-1,-1,448174,70372,695625,376282,-1,-1,845328,-1,-1,242255,-1,-1,-1,-1,979401,690935,-1,-1,-1,-1,-1,-1,-1,827115,-1,849564,-1,731745,-1,-1,157598,-1,121535,449705,-1,365552,438038,-1,-1,-1,-1,858019,924867,-1,-1,-1,289283,-1,477198,237079,916661,605598,-1,-1,917331,883207,-1,53210,-1,-1,-1,-1,256429,209423,-1,-1,-1,89894,738681,-1,932950,-1,-1,-1,-1,-1,-1,867175,-1,743246,-1,-1,511565,-1,196454,-1,424013,-1,779404,378458,-1,-1,-1,-1,542602,-1,-1,-1,463451,-1,-1,36561,-1,-1,484664,-1,2546,764649,871573,962368,987406,-1,713183,580054,114742,701354,475463,-1,560156,85524,472900,-1,808105,-1,-1,-1,-1,419811,-1,-1,-1,627605,-1,-1,-1,-1,-1,-1,133216,-1,392788,18345,498564,208403,514627,-1,778614,-1,-1,-1,-1,188943,-1,134829,-1,-1,-1,830787,-1,90998,622944,377969,536363,478775,565398,994331,-1,722529,-1,-1,-1,667320,145969,394156,-1,19806,-1,247934,159389,-1,136480,-1,152800,784158,982934,553295,789481,-1,16587,-1,-1,931837,251184,-1,-1,405818,-1,-1,-1,45520,-1,-1,-1,815266,-1,-1,695170,-1,589595,-1,-1,-1,-1,-1,-1,129019,887042,750117,253546,931725,-1,235559,467220,297251,156693,711043,641806,2478,224958,-1,-1,-1,-1,585615,647329,85325,477127,206195,-1,955849,-1,-1,806514,-1,153075,-1,751018,-1,178430,-1,142662,-1,115574,-1,-1,-1,880942,-1,-1,965783,-1,986420,-1,634817,-1,-1,-1,881881,-1,-1,819714,540466,788335,253572,197323,-1,957797,31887,84183,-1,309579,171401,-1,-1,-1,-1,647289,-1,-1,820762,-1,704605,347770,-1,217183,-1,208210,998796,-1,112119,-1,256067,-1,-1,-1,-1,987997,494965,682861,-1,-1,594110,-1,-1,-1,565623,714216,583884,-1,-1,-1,-1,189537,-1,-1,-1,-1,-1,-1,426696,75416,443792,973228,-1,104767,-1,-1,-1,-1,970439,509804,-1,77364,-1,557057,-1,-1,-1,-1,240766,-1,-1,971126,-1,371652,965976,-1,919786,737237,-1,-1,7913,328877,754003,918277,185410,742555,-1,934826,11389,631597,-1,-1,-1,-1,607887,577404,-1,952341,516717,-1,634602,-1,462093,-1,360307,125062,-1,75756,-1,464706,967692,343439,410110,474141,717594,330477,-1,719979,-1,-1,-1,145422,990255,630531,-1,704310,-1,-1,-1,85951,-1,909742,148619,146990,-1,-1,760526,30185,653024,671787,-1,343014,-1,-1,561157,-1,544704,-1,286069,421517,-1,44490,-1,661534,664811,-1,878707,191945,-1,-1,-1,559419,418827,-1,-1,-1,-1,633129,-1,334148,-1,815045,-1,-1,-1,904270,648570,874668,-1,-1,-1,-1,-1,750570,265503,-1,-1,-1,-1,-1,-1,640972,-1,300047,591169,962762,253364,3481,-1,400471,-1,261936,-1,-1,944829,-1,73420,90659,612258,370666,-1,786535,399422,-1,-1,956673,-1,-1,29678,979165,996941,-1,990195,402205,774330,-1,-1,-1,992809,938977,-1,578824,-1,515197,-1,54502,606142,499356,440136,-1,-1,614647,823765,-1,-1,-1,-1,-1,-1,-1,114045,436343,-1,-1,403902,-1,-1,636308,-1,-1,-1,748213,-1,-1,252381,779952,-1,656077,-1,375810,920377,-1,443229,-1,513617,-1,647041,-1,258816,-1,779728,814286,-1,675019,812608,-1,952797,464853,894879,-1,337182,931751,847145,817031,794872,-1,377422,610381,-1,-1,-1,-1,705586,-1,332251,956267,-1,639071,-1,-1,-1,801312,152247,926178,-1,-1,-1,737022,784100,114281,-1,-1,-1,749120,-1,749630,928093,498065,-1,-1,-1,646827,387953,-1,-1,-1,-1,-1,744664,634576,-1,-1,-1,928673,119348,104527,-1,274608,-1,269275,-1,-1,771308,-1,201858,-1,193626,482718,9564,527951,-1,656450,291753,274644,-1,841032,245973,132633,21077,743649,586314,64172,368115,396942,423028,-1,-1,-1,556278,-1,-1,-1,56527,187366,-1,23868,-1,-1,627826,-1,-1,-1,402685,257913,-1,119901,-1,869116,330594,676628,182232,-1,-1,-1,-1,885155,-1,894595,-1,-1,761759,-1,-1,878539,-1,-1,-1,-1,962039,-1,-1,-1,-1,-1,248359,-1,497439,-1,-1,131520,45450,408235,543978,822254,324299,206196,395309,-1,150833,527150,660728,369482,-1,-1,308080,-1,-1,375139,948967,10075,-1,-1,-1,578111,683434,-1,785954,-1,-1,962486,-1,-1,-1,-1,-1,-1,-1,524545,918176,580436,-1,192641,-1,-1,-1,-1,-1,-1,837983,196617,527523,-1,-1,357913,-1,-1,148017,-1,-1,-1,491747,-1,-1,660891,-1,-1,-1,-1,686218,-1,247427,-1,-1,812537,-1,-1,-1,-1,719060,295554,-1,976428,723537,-1,-1,-1,-1,-1,627415,-1,87124,-1,-1,-1,-1,361599,-1,756157,-1,310201,-1,-1,565921,416545,658887,240533,-1,480524,-1,-1,-1,980574,34610,135173,-1,784460,-1,-1,-1,-1,-1,-1,-1,-1,-1,364572,-1,321852,427928,978197,-1,-1,578592,-1,25815,888626,434111,993846,964924,803141,-1,-1,491184,80002,-1,595508,-1,-1,-1,949546,-1,-1,883573,-1,718939,289276,618776,74664,137847,847470,-1,-1,-1,91632,816973,109247,-1,339679,-1,870447,-1,-1,-1,887074,-1,18731,934088,-1,-1,-1,942718,-1,-1,305050,-1,-1,-1,360286,433652,-1,-1,-1,-1,-1,429842,305192,69759,-1,132602,-1,-1,-1,-1,-1,655248,-1,-1,393505,73033,-1,-1,495816,924914,198787,228215,-1,-1,-1,-1,547429,-1,-1,-1,-1,11221,-1,326698,105788,-1,112700,-1,104082,426480,376808,592182,-1,614243,-1,-1,-1,-1,263870,602511,821126,793879,861688,-1,712445,-1,467640,-1,255176,940236,-1,-1,-1,-1,-1,-1,-1,-1,51134,-1,320776,-1,316766,-1,467765,-1,-1,-1,-1,-1,-1,-1,103721,-1,499974,-1,315306,224419,-1,828465,272224,-1,-1,801024,133465,773178,-1,-1,-1,-1,-1,554642,388433,-1,20644,168668,972124,822516,-1,-1,-1,928551,214916,-1,-1,-1,124130,898631,871921,87269,-1,-1,720122,157948,-1,-1,-1,750924,-1,-1,-1,28506,-1,-1,-1,-1,-1,554028,-1,-1,-1,887735,461128,-1,-1,743329,-1,245474,-1,-1,357357,981640,-1,-1,-1,-1,-1,-1,12285,-1,-1,-1,-1,-1,-1,-1,-1,-1,303834,-1,-1,-1,-1,664113,755173,706092,-1,-1,-1,-1,212163,-1,375132,-1,924460,417887,-1,-1,372281,587262,262224,319113,-1,719873,-1,838687,-1,-1,-1,825093,-1,-1,292139,-1,108995,-1,-1,232158,195317,-1,-1,786179,-1,-1,-1,-1,89543,215517,-1,524219,271895,-1,738113,-1,166039,-1,-1,168500,369376,294709,-1,475922,110435,328456,-1,-1,-1,-1,639135,-1,-1,561990,146026,969016,313974,-1,-1,966102,559808,-1,-1,-1,105043,-1,997702,-1,-1,-1,3671,580920,112582,759598,-1,614978,213804,-1,527394,-1,418406,884850,765486,-1,45974,107813,-1,360705,808018,204418,132874,723917,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,833331,901071,792719,617607,598353,320034,-1,-1,-1,-1,-1,561524,383153,507331,57141,863411,818687,196685,444988,315292,10552,545716,882454,93593,-1,-1,292402,-1,-1,-1,271429,564236,13231,-1,996370,580065,-1,-1,264545,589627,548959,-1,9810,-1,-1,248963,-1,479010,562971,229267,-1,921699,213426,85058,136698,593121,-1,778799,588568,-1,169037,779827,-1,377961,-1,390328,-1,-1,761901,-1,-1,509810,-1,220866,442831,-1,165129,146449,790421,666006,187892,544713,324539,916993,-1,611081,-1,678684,786798,850494,738766,541996,292872,-1,-1,-1,-1,845491,300300,-1,349974,-1,14318,371196,-1,-1,-1,192869,191024,-1,-1,697283,252345,-1,-1,985400,-1,635257,683778,597327,-1,-1,722360,-1,221306,587536,-1,945576,-1,632732,-1,678584,-1,311827,211981,-1,592032,-1,-1,-1,-1,-1,300935,230639,-1,94214,-1,74320,400684,621080,-1,-1,497042,-1,580990,-1,-1,-1,767325,190102,-1,-1,171704,20310,472882,68249,-1,-1,149664,-1,-1,-1,-1,140260,-1,990532,292323,861401,-1,-1,-1,-1,-1,-1,875713,-1,301228,701658,-1,99625,177286,-1,-1,-1,732212,-1,384057,245059,84922,201436,652268,844986,-1,-1,681611,-1,759138,67273,717742,509289,796072,-1,-1,195877,-1,424675,293671,-1,-1,-1,991237,-1,-1,-1,881146,-1,-1,-1,740851,-1,579401,572048,322464,370552,-1,-1,-1,158876,-1,104170,-1,682718,-1,-1,616379,129992,-1,-1,910852,-1,690936,38568,473332,-1,-1,-1,-1,947694,675539,866522,-1,626591,814033,-1,813520,-1,52020,-1,858091,522903,-1,-1,425172,327696,793558,618567,291058,-1,838184,400488,822954,770700,824054,-1,-1,57806,-1,978659,-1,506185,-1,-1,901102,736786,-1,-1,-1,-1,-1,649058,-1,-1,858312,-1,69343,-1,-1,-1,-1,-1,-1,-1,-1,968079,432437,40595,-1,-1,-1,-1,-1,524348,-1,119290,252116,-1,-1,-1,-1,271224,644563,-1,622696,152097,-1,-1,207130,-1,-1,-1,798520,-1,-1,871827,793562,-1,-1,492343,182667,-1,-1,-1,-1,586414,-1,-1,-1,324149,311870,-1,405013,357757,571152,-1,301931,470463,-1,-1,743848,-1,898970,183680,403761,10962,-1,619842,-1,685506,819497,862570,-1,243065,-1,238671,494154,22115,-1,553108,936611,-1,676419,227397,946059,820745,-1,-1,257084,-1,-1,599797,318743,133075,75038,935529,236979,-1,-1,482806,-1,437465,-1,671436,-1,-1,723348,949727,-1,-1,-1,-1,-1,-1,594617,-1,-1,668328,939143,-1,-1,381234,-1,-1,-1,637138,637219,660914,420735,851928,691955,573444,-1,426045,-1,35626,198769,-1,-1,-1,640473,452986,-1,-1,830780,785751,-1,-1,335764,507070,-1,-1,959224,475456,-1,794274,-1,-1,-1,-1,-1,-1,120662,254317,-1,-1,258497,697765,623878,-1,-1,683675,933386,-1,-1,-1,-1,-1,147509,35865,-1,-1,-1,-1,142656,-1,-1,-1,322349,380700,-1,-1,-1,98958,278615,-1,-1,714777,72255,658703,506691,763383,-1,382259,-1,-1,-1,-1,-1,-1,-1,509802,304833,-1,-1,859922,462583,-1,773806,81808,-1,26755,-1,81929,917633,371688,-1,-1,-1,763484,-1,-1,195527,776233,-1,-1,-1,12507,-1,-1,512200,-1,677218,869983,-1,-1,531429,-1,658263,-1,592660,-1,620419,656231,873114,84590,159238,-1,-1,-1,957199,351121,-1,-1,-1,-1,442815,-1,-1,767896,-1,35136,-1,494404,345779,-1,461286,-1,-1,156270,302700,-1,-1,-1,-1,-1,-1,872706,912767,390515,-1,260931,13219,357587,979896,-1,917840,946894,-1,-1,126355,834015,121997,-1,-1,-1,-1,-1,690516,88331,17462,-1,-1,230008,-1,-1,-1,152190,963604,-1,243170,-1,-1,-1,816347,549018,-1,-1,366996,-1,926312,530254,-1,-1,997491,686651,361300,-1,585045,-1,244407,308308,-1,-1,960755,756192,777822,196351,-1,450470,800260,-1,299337,-1,-1,-1,-1,-1,82367,868637,-1,849266,-1,722805,-1,-1,-1,709913,-1,-1,-1,337568,250249,-1,-1,-1,146263,619849,-1,-1,-1,-1,-1,-1,-1,692095,616458,-1,170622,-1,947651,907691,-1,-1,236825,-1,411567,344085,660984,945014,492516,-1,165355,-1,926546,-1,129200,-1,759583,-1,-1,-1,338430,-1,-1,-1,-1,443404,453849,-1,-1,-1,-1,801356,-1,131430,-1,618602,-1,682844,246603,601555,743395,-1,-1,-1,935114,40055,988829,239473,-1,-1,366127,778106,-1,260821,-1,105515,-1,-1,-1,710431,-1,-1,-1,-1,-1,224155,17465,-1,271899,949224,-1,-1,-1,239618,-1,675731,465576,683331,911021,174590,-1,-1,449192,664371,-1,-1,-1,19426,743729,411675,455606,-1,-1,-1,-1,100413,962544,433076,-1,-1,970353,248071,296900,-1,426377,383195,88352,336852,349999,997063,-1,438197,-1,214098,-1,560226,759401,-1,309576,-1,914334,983043,569273,283225,606342,-1,-1,96811,-1,804479,427103,21944,-1,-1,-1,-1,218788,-1,-1,-1,-1,110054,-1,704692,-1,-1,-1,195228,766745,-1,-1,314902,255830,-1,341422,92156,555307,-1,928757,549237,215498,-1,-1,-1,696459,-1,-1,397188,-1,-1,-1,236848,-1,-1,460952,-1,557386,-1,588690,545270,267927,471154,977089,-1,-1,-1,-1,941273,723166,-1,-1,326032,-1,733841,-1,-1,-1,-1,-1,682987,-1,-1,154469,409124,402250,-1,206806,53912,-1,323082,235758,5065,43812,846412,-1,564130,-1,662829,631912,-1,-1,-1,-1,-1,405608,938234,-1,-1,41726,-1,228128,540836,239608,557114,304853,-1,-1,-1,-1,700681,576802,913027,-1,23897,188487,678098,-1,282634,-1,972459,-1,786159,190784,929416,980399,918658,-1,937824,-1,564580,62508,726771,-1,379669,-1,-1,484375,189353,319459,872859,-1,-1,252680,-1,743441,391027,96982,810657,-1,696348,916933,267664,-1,360138,638180,931798,601866,283777,-1,532503,358866,693762,-1,-1,-1,952485,-1,427071,790013,822178,909903,615213,84496,128649,-1,-1,341888,-1,-1,804392,-1,119734,299217,-1,-1,937750,-1,673504,275177,522719,-1,-1,-1,454392,851434,104778,-1,-1,307830,122296,809888,-1,810849,501676,447517,-1,-1,53501,-1,-1,-1,-1,-1,132683,-1,322466,930389,-1,-1,375706,-1,-1,932987,-1,-1,-1,-1,-1,592734,-1,135062,890321,-1,687444,-1,-1,-1,-1,265617,-1,868419,-1,380892,416908,-1,728761,-1,-1,-1,452691,-1,-1,967758,596890,330056,230539,14083,-1,-1,-1,-1,-1,201549,685419,382117,-1,550433,539572,522272,826484,184434,132514,355058,-1,670467,449304,671690,684739,414095,-1,624778,59410,-1,-1,816782,-1,503318,-1,-1,-1,-1,-1,-1,422438,383692,377383,-1,-1,991696,-1,513669,-1,393086,447727,-1,-1,-1,5989,-1,771500,948638,-1,457651,504392,-1,496048,-1,-1,3820,450176,222492,818393,688374,-1,895718,64215,877506,136259,637479,-1,-1,-1,181268,-1,71606,-1,-1,952738,111750,-1,-1,609895,-1,767265,853874,-1,-1,-1,-1,-1,-1,-1,103360,-1,545776,-1,750915,-1,-1,702154,489880,594322,-1,90145,-1,872852,637526,669883,-1,-1,-1,647118,4598,853669,351536,-1,-1,634422,-1,911797,712646,-1,738374,158953,-1,-1,820049,817436,-1,-1,136798,942854,-1,409552,-1,-1,551130,913463,124903,-1,-1,-1,270158,934979,115482,53336,171751,37160,-1,228223,-1,842684,-1,-1,198900,426825,-1,972380,-1,-1,-1,169426,-1,-1,423330,-1,10932,-1,572319,-1,-1,-1,985010,561438,-1,-1,880496,-1,808962,560655,106586,-1,-1,-1,-1,971698,57344,121027,-1,441623,-1,458833,-1,300584,-1,-1,-1,727584,899073,301939,-1,-1,642957,508289,888249,963498,-1,-1,-1,-1,654486,-1,-1,-1,576609,489424,208647,713007,-1,637794,-1,639648,-1,-1,4835,207258,690605,377094,-1,-1,298508,-1,-1,-1,-1,293514,-1,-1,-1,-1,324034,-1,788676,696822,-1,-1,-1,313785,528533,169015,-1,-1,584525,387494,-1,-1,518323,853835,28420,570010,-1,-1,-1,-1,-1,559664,-1,-1,-1,618735,186729,92824,-1,-1,-1,316212,344406,813104,-1,-1,417844,-1,942317,835309,-1,966494,-1,633744,-1,-1,-1,980564,-1,-1,131206,-1,-1,-1,-1,494789,692189,-1,422838,-1,-1,963588,419154,-1,716580,-1,-1,631699,488435,93513,792021,-1,83444,234728,141384,154070,419479,610686,54023,-1,298616,507266,414937,-1,735331,892804,375939,-1,-1,41313,-1,-1,-1,23904,13917,-1,322558,-1,327061,-1,247033,-1,-1,-1,-1,593571,463683,-1,853942,445298,298204,-1,-1,867552,131426,223652,-1,-1,-1,337845,-1,605670,-1,-1,512939,-1,255656,613602,-1,-1,907756,427402,890000,-1,566495,-1,-1,885023,881676,-1,124946,-1,-1,-1,63750,-1,295268,619040,-1,-1,610111,736649,-1,-1,-1,797742,895101,787551,-1,-1,-1,-1,5734,370093,926088,-1,-1,594674,-1,535672,-1,742835,-1,482558,-1,-1,-1,188135,-1,-1,-1,505656,-1,-1,-1,250136,812144,683657,-1,-1,-1,-1,852033,760231,422568,-1,-1,-1,-1,737941,-1,571662,-1,-1,-1,810060,-1,149677,893585,-1,294852,958744,-1,-1,-1,-1,281752,-1,978956,369187,541168,373567,-1,-1,-1,-1,461177,761298,839292,337743,-1,-1,-1,430393,878829,639212,88474,538519,-1,536127,-1,-1,-1,883675,-1,873182,57441,227572,-1,-1,852585,-1,-1,-1,446262,99610,-1,363802,-1,735417,734910,-1,519839,532936,-1,705584,158787,859850,-1,-1,-1,-1,-1,-1,-1,-1,661520,97725,754056,864800,-1,6338,247326,-1,-1,-1,-1,316931,729493,848395,733153,376212,540100,-1,542648,-1,481170,856793,-1,-1,-1,-1,394092,341385,340527,812282,93819,21123,-1,-1,303285,333204,588131,809141,173299,-1,610289,632703,448475,-1,424198,595309,-1,961328,598788,255035,-1,-1,-1,550912,885413,-1,-1,-1,-1,-1,-1,-1,-1,853811,497985,410562,-1,504357,-1,117187,-1,-1,-1,843427,447695,-1,-1,800768,-1,-1,-1,501764,-1,-1,-1,-1,-1,-1,-1,217080,166134,166277,450606,980679,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,790893,-1,175652,-1,-1,279871,661062,196886,823858,-1,-1,733681,-1,-1,146603,-1,-1,-1,473437,-1,-1,419782,170104,-1,-1,906068,-1,300177,431308,510366,-1,64237,515789,23390,6073,404945,64116,918895,-1,59539,205635,-1,911221,-1,290339,-1,526296,467657,-1,-1,562784,144509,-1,-1,22522,-1,292027,-1,640645,-1,921826,490290,817023,-1,575280,-1,-1,-1,11994,-1,-1,-1,-1,-1,-1,-1,-1,-1,534443,-1,62307,-1,-1,-1,259149,590814,369174,-1,-1,-1,-1,900620,584539,123636,-1,805420,-1,-1,-1,661877,-1,966886,506413,134998,-1,-1,-1,859719,110400,-1,-1,-1,-1,862945,880263,484493,-1,-1,43229,167500,322424,-1,-1,762474,-1,144002,-1,-1,353931,689270,634352,694468,312956,101416,799499,544400,-1,-1,-1,-1,-1,-1,-1,-1,391142,-1,-1,316385,553998,373175,266796,509983,206947,-1,206308,-1,125847,877581,172191,-1,-1,199718,383358,38131,812080,-1,-1,283570,632398,422317,999362,-1,-1,207921,-1,-1,524513,-1,-1,733666,-1,-1,646327,60886,171006,-1,570537,-1,536446,242752,676315,-1,-1,-1,-1,518077,172712,-1,262613,-1,956723,-1,-1,86889,-1,-1,226428,-1,-1,257071,993120,-1,634704,228773,320955,458368,-1,-1,-1,809131,792927,-1,553280,999452,56629,-1,-1,749093,267626,-1,960568,-1,891195,426697,-1,-1,162504,-1,897146,-1,593213,40386,648114,700703,691449,836813,-1,606575,587583,580434,904158,85508,-1,432698,671854,-1,-1,506428,2010,-1,275866,-1,781704,-1,716850,-1,-1,-1,159992,-1,394184,766075,-1,278469,673933,-1,154859,299053,-1,57902,-1,45408,850599,-1,126595,959031,-1,-1,560084,772137,825975,-1,-1,-1,-1,552387,-1,959581,-1,-1,839471,-1,-1,-1,445468,-1,-1,145542,-1,-1,-1,-1,532550,-1,-1,-1,-1,724974,-1,963132,377586,128286,-1,-1,121379,564839,-1,-1,-1,-1,-1,289966,182532,-1,-1,996050,17400,-1,-1,518710,-1,684043,-1,151528,-1,-1,-1,761710,279291,816602,873587,721788,-1,752118,-1,232551,838636,362754,-1,613705,-1,-1,-1,653921,895352,806539,-1,299159,-1,106851,-1,649393,-1,-1,-1,-1,-1,862845,95216,828297,746410,-1,-1,-1,946049,718778,-1,827661,145291,-1,441868,279001,475717,-1,-1,-1,-1,310311,717780,836985,-1,-1,-1,446642,841476,-1,-1,-1,692767,531789,70808,686724,230862,411074,-1,-1,370374,642205,-1,151466,265807,-1,356078,-1,-1,-1,-1,677814,39245,-1,-1,736971,-1,-1,-1,-1,273020,111253,585378,-1,917753,905802,612380,-1,-1,745125,-1,-1,-1,77759,115811,537874,987421,-1,891626,-1,529106,-1,226175,597277,-1,-1,-1,-1,332746,314685,674793,617325,-1,-1,-1,852912,689798,-1,891992,607685,-1,-1,-1,-1,-1,-1,674487,445974,-1,990615,984714,-1,118222,679798,-1,683362,841195,-1,-1,961830,99840,-1,-1,780391,207524,666237,-1,920616,418388,631564,-1,294904,88485,-1,-1,781722,193569,23821,968365,-1,37197,-1,104911,97727,634906,349713,-1,513843,-1,522985,783907,-1,704144,-1,567121,616340,-1,997871,485852,-1,715437,-1,815829,-1,-1,324946,115104,279649,103948,270311,798098,-1,-1,337035,-1,-1,-1,-1,-1,602231,704139,858921,-1,424908,-1,717902,-1,-1,270998,-1,719209,-1,-1,784704,-1,-1,218961,-1,-1,-1,-1,-1,-1,684854,-1,-1,68798,-1,-1,69477,-1,-1,577782,-1,-1,-1,751950,-1,-1,-1,-1,139476,-1,-1,-1,620483,-1,884896,-1,712960,-1,869266,-1,-1,-1,-1,-1,88465,894024,576286,958843,63687,578573,414936,-1,-1,-1,978800,-1,-1,-1,309750,-1,837992,-1,-1,508909,836875,-1,120666,-1,-1,-1,-1,847237,676480,254055,587605,-1,988819,68496,738687,-1,-1,986674,-1,243264,-1,-1,230751,-1,-1,-1,-1,673898,-1,176401,439857,221145,-1,-1,590205,-1,-1,-1,929260,-1,644099,937446,-1,738481,-1,-1,380664,-1,-1,947109,-1,-1,-1,557586,16994,-1,240543,-1,801894,-1,663680,152944,-1,-1,-1,278193,158154,-1,-1,665791,-1,-1,32946,544680,749561,-1,-1,-1,-1,212718,58652,-1,724235,-1,-1,270440,-1,-1,-1,-1,785900,-1,549530,665406,-1,-1,-1,415528,719399,620715,-1,414420,664791,57957,-1,-1,-1,-1,-1,-1,-1,-1,215879,965155,-1,760666,354246,516254,-1,-1,-1,-1,-1,645035,615298,827567,626784,830977,744095,776979,-1,290955,393743,-1,-1,912263,-1,81987,-1,-1,792242,576660,841449,-1,800801,-1,-1,-1,506244,397147,984207,224363,874368,-1,-1,-1,-1,617182,251310,266918,-1,754201,438205,-1,-1,701406,181690,463147,-1,507890,-1,-1,-1,-1,-1,347755,964251,135424,633137,172145,576235,853951,-1,212652,-1,-1,95360,-1,25735,86134,229294,311434,-1,-1,-1,-1,-1,-1,275363,579923,-1,436278,-1,34930,254738,-1,-1,673104,162474,143672,892374,-1,681638,759516,-1,-1,-1,800462,746402,580117,818304,-1,689,72270,353527,17368,948426,949257,-1,832635,-1,527034,442389,139137,10024,417010,203918,853642,-1,877782,-1,365849,50939,211069,152929,-1,134129,769314,-1,-1,632546,892467,275213,823929,-1,250062,982681,-1,588749,918520,77724,-1,826112,655746,-1,-1,30518,-1,313948,-1,-1,-1,-1,483534,-1,-1,-1,459806,283000,990811,-1,80710,-1,386628,853454,-1,174040,-1,-1,-1,573332,-1,-1,-1,262218,-1,-1,73019,-1,299712,936489,-1,481060,-1,-1,898992,449556,769141,395175,-1,-1,-1,701464,-1,-1,-1,337601,-1,-1,338624,-1,-1,139559,-1,336358,199222,-1,-1,188076,-1,156029,547812,337111,-1,454760,935499,-1,-1,195443,-1,686336,-1,-1,-1,-1,858535,578278,878136,89220,-1,209278,-1,-1,-1,472626,-1,684249,242279,427507,809094,342402,-1,555295,-1,-1,402325,-1,256182,-1,-1,-1,150226,393447,251985,244587,-1,-1,460848,-1,392558,194344,86429,960661,-1,-1,727319,408674,-1,-1,-1,-1,465695,-1,-1,-1,243553,273745,111352,653714,682659,608111,-1,135459,966370,181460,444220,-1,-1,-1,423824,-1,-1,310403,322721,-1,569106,-1,62634,-1,-1,620201,456059,-1,168336,-1,297164,-1,840576,86112,-1,-1,-1,-1,-1,128101,626891,-1,-1,285801,568678,916618,29772,-1,724223,720360,-1,31175,-1,965507,-1,581907,-1,999414,72924,-1,-1,-1,-1,828174,776980,-1,-1,-1,641522,-1,-1,-1,-1,222074,-1,-1,-1,809824,-1,598172,709314,-1,-1,279360,822074,-1,-1,-1,285333,-1,961346,-1,-1,-1,-1,-1,-1,-1,135111,-1,654497,5440,726798,-1,631079,120190,53109,138428,-1,324335,-1,772007,-1,163817,-1,781276,-1,63131,629049,-1,-1,-1,-1,980601,-1,-1,-1,-1,835391,68373,-1,144211,-1,-1,-1,-1,319898,210024,-1,165400,-1,483818,127395,-1,-1,-1,49455,-1,-1,-1,-1,-1,-1,839035,252541,703255,838552,-1,232532,-1,-1,244207,896688,-1,265021,-1,-1,-1,461706,-1,690962,-1,827701,-1,-1,-1,-1,-1,-1,-1,977943,490518,-1,909034,-1,-1,-1,-1,864672,30403,800964,-1,27972,917004,291288,735865,40993,232115,775202,-1,526967,-1,830410,-1,-1,326308,-1,981112,-1,-1,49306,923731,-1,-1,-1,592778,205835,-1,634601,972856,-1,820351,604075,951957,231027,483571,-1,-1,-1,721019,154968,-1,546091,887065,-1,-1,-1,-1,-1,-1,-1,793502,-1,-1,512502,828338,-1,-1,-1,321363,-1,787176,-1,-1,54324,-1,196522,-1,-1,670835,221607,-1,-1,888169,-1,-1,-1,713625,-1,-1,156611,-1,431804,544301,544164,-1,-1,236056,316065,-1,-1,-1,858532,591058,455356,475907,-1,682647,-1,-1,-1,-1,402645,-1,-1,-1,-1,551678,718387,675523,922533,738495,365297,-1,372004,673310,-1,564138,48349,651332,416791,665654,87286,-1,21165,-1,-1,350792,948664,-1,706600,745792,-1,-1,553919,264750,392505,993656,-1,807207,882081,248932,981513,906182,-1,-1,-1,820382,-1,-1,-1,365244,-1,466132,240386,575312,714615,561319,-1,-1,-1,-1,525057,-1,-1,-1,-1,713824,884107,-1,-1,559738,856469,699863,315746,-1,567016,-1,484025,355915,-1,349989,488215,914822,356761,316455,-1,817042,414073,880055,-1,743585,-1,-1,12903,876742,33828,-1,183933,761719,464687,776317,876770,-1,-1,221545,922926,-1,-1,415163,128390,-1,404645,465277,-1,-1,895383,240840,373373,428601,-1,326122,-1,237231,278670,54736,-1,-1,207942,-1,-1,-1,559532,91974,-1,844850,-1,-1,-1,-1,121835,-1,902619,-1,807722,447183,-1,-1,982717,-1,-1,12450,651419,-1,64928,787257,-1,127723,-1,-1,816050,-1,-1,-1,192046,187893,-1,36452,266061,-1,-1,230110,-1,267865,-1,532209,-1,-1,422207,-1,-1,-1,812068,168010,-1,-1,393658,-1,-1,364781,-1,497019,554919,-1,-1,504076,776413,-1,-1,-1,-1,-1,953596,877765,462952,-1,-1,-1,641335,60891,-1,444589,-1,219646,-1,102970,-1,786116,343047,592745,-1,-1,-1,-1,-1,-1,58462,-1,439461,568834,-1,405346,-1,353671,215750,24080,332025,-1,-1,-1,-1,-1,675785,829590,477308,-1,-1,-1,638150,-1,-1,759123,930223,-1,-1,-1,-1,-1,706365,-1,-1,-1,-1,-1,-1,-1,815753,738945,-1,259319,464349,-1,-1,381610,638686,759606,-1,689377,397875,-1,96491,-1,-1,888469,-1,-1,-1,562444,133186,-1,-1,515746,633718,-1,-1,612853,695666,215630,-1,-1,-1,-1,422195,838808,-1,852400,499856,-1,882565,-1,-1,-1,-1,-1,915014,880650,-1,233180,586399,770273,-1,793825,-1,-1,-1,-1,-1,-1,-1,933374,-1,-1,660452,-1,-1,-1,301876,611583,-1,-1,847247,304245,386334,-1,-1,674728,830484,823522,210186,275848,80144,604274,-1,642191,582471,-1,-1,-1,-1,69614,170135,-1,152121,-1,-1,868449,977883,314975,-1,-1,-1,5627,-1,682712,-1,213010,-1,-1,940416,-1,-1,-1,-1,724939,-1,656111,37807,92351,122365,932028,-1,-1,-1,-1,400334,-1,462218,-1,-1,-1,-1,360853,-1,628619,720564,-1,-1,-1,-1,-1,838321,943494,125235,-1,-1,-1,606035,920148,-1,18300,620366,-1,-1,-1,370978,634447,683386,868327,-1,393676,-1,756824,359623,-1,-1,-1,-1,-1,-1,-1,435493,410324,-1,-1,84667,24671,351459,-1,450481,141195,909508,910622,-1,-1,50029,-1,-1,136609,104699,-1,-1,-1,689886,-1,374250,385260,969202,493639,-1,182960,-1,-1,-1,669000,-1,-1,906437,-1,-1,-1,945385,-1,-1,-1,628336,391937,-1,-1,387533,-1,22031,-1,-1,426897,-1,-1,-1,-1,794050,-1,967253,623392,-1,-1,-1,-1,-1,-1,-1,937424,978813,178367,726396,559750,793350,-1,-1,701126,-1,700764,130263,4073,-1,-1,305513,-1,-1,-1,947577,668820,55015,321007,-1,926236,-1,129903,-1,-1,139713,931248,-1,-1,922856,-1,938902,-1,791885,488560,487501,-1,178498,323971,-1,519062,-1,550207,491944,729673,477583,-1,658507,-1,428140,485584,-1,-1,-1,524299,-1,734827,-1,544780,29251,58563,674824,-1,-1,63557,682095,274256,749783,500453,-1,139274,834129,-1,-1,-1,624286,895845,-1,163713,-1,-1,266952,203343,-1,125477,914367,54142,-1,-1,-1,-1,-1,71935,-1,109201,895403,-1,-1,611252,-1,928036,-1,578650,356514,-1,-1,488168,-1,-1,-1,-1,-1,957290,851898,-1,347535,930127,-1,112381,-1,216723,-1,-1,-1,-1,-1,237933,138142,201520,-1,28949,424787,-1,425663,9758,230165,-1,-1,473294,-1,892572,-1,719682,301726,-1,784185,896279,107251,258268,413604,-1,-1,294952,733807,459173,-1,-1,898302,993063,-1,142251,267693,875665,-1,-1,-1,647851,617549,-1,-1,808898,-1,-1,-1,892117,586142,149043,-1,-1,-1,633239,624621,246778,-1,843056,-1,-1,217734,483857,983208,-1,-1,699636,-1,-1,655320,169752,750229,-1,569282,467607,-1,896644,115714,69260,-1,6951,-1,-1,445785,-1,46594,-1,-1,891004,255100,-1,841978,-1,-1,-1,-1,975758,-1,700945,306246,301478,646913,166404,180982,-1,634554,-1,776743,-1,930204,5965,-1,148528,-1,-1,-1,-1,-1,356932,851433,453680,135334,-1,-1,581280,-1,825264,-1,895908,67371,-1,-1,-1,-1,-1,7407,258431,-1,-1,167766,-1,-1,-1,-1,-1,61430,900131,302164,591875,68905,968571,-1,-1,-1,-1,591565,-1,946978,-1,-1,457406,-1,-1,473720,-1,-1,20679,-1,652364,-1,-1,250634,13654,527731,827586,-1,-1,-1,-1,749191,-1,-1,505048,871155,-1,277047,448187,446227,730905,-1,342819,279214,-1,468241,-1,311280,528116,488262,-1,-1,243252,221378,10478,765790,400023,-1,449159,-1,92802,-1,-1,-1,-1,407664,-1,-1,-1,204795,-1,-1,344037,968520,315686,377022,-1,-1,-1,-1,-1,395646,-1,-1,-1,-1,-1,-1,858196,507884,-1,287735,740232,750352,248007,-1,-1,970437,793182,-1,-1,-1,704980,225822,-1,-1,116676,-1,-1,646949,110985,852230,-1,350101,-1,-1,-1,-1,842257,-1,787390,-1,-1,-1,801195,-1,34159,995219,-1,-1,-1,-1,747321,713575,511442,-1,-1,245549,-1,-1,-1,-1,662453,218099,284103,-1,429743,-1,-1,-1,-1,-1,491409,262637,287038,-1,-1,392726,-1,427698,144965,139538,-1,-1,664993,763760,194436,443351,488960,432631,-1,54382,-1,-1,-1,-1,715530,-1,-1,421850,-1,-1,632723,-1,-1,76182,232414,852728,-1,221723,867666,576887,629500,-1,571279,700952,-1,975260,-1,-1,-1,75673,293999,-1,-1,599841,-1,740054,-1,-1,-1,258390,-1,688016,-1,66345,-1,-1,745501,954613,-1,906176,412187,-1,-1,-1,341014,226742,557359,828479,-1,-1,-1,161294,166486,166712,715259,562539,76484,-1,-1,-1,788384,94580,618460,600108,872885,354805,514472,736527,285617,643483,-1,-1,-1,-1,777243,703251,-1,931132,-1,-1,-1,-1,-1,955818,-1,-1,781653,-1,521967,-1,263416,-1,116714,-1,668616,-1,91002,907519,227729,939070,596829,707236,714281,-1,376155,-1,-1,337148,602847,-1,996758,-1,-1,297968,-1,-1,-1,7170,-1,-1,-1,640860,332132,-1,20569,-1,-1,-1,146644,-1,-1,209600,924118,-1,-1,405387,934379,-1,288495,481773,-1,215574,657482,567941,-1,411553,877500,565924,752787,384589,-1,933122,-1,716784,632962,89684,-1,-1,717743,-1,453603,612519,-1,530716,-1,114973,-1,396692,-1,990270,38357,241090,-1,-1,129452,-1,477656,808743,-1,162487,593962,-1,857209,-1,703547,-1,399304,-1,-1,761771,-1,-1,654923,564181,-1,263522,446181,-1,392809,-1,594518,-1,355211,-1,762192,641975,535294,934721,390915,111026,-1,-1,-1,125358,91812,-1,-1,14816,86263,-1,-1,546908,819456,-1,142249,-1,-1,323444,-1,537956,-1,36380,695345,608169,-1,-1,-1,-1,-1,-1,789466,-1,298387,874632,847876,-1,-1,-1,459815,-1,24609,-1,-1,-1,-1,382403,-1,921058,-1,543798,155083,13399,524360,426025,973210,-1,699229,908698,844305,-1,-1,-1,250094,-1,463890,-1,146914,394662,835404,-1,-1,-1,924234,129946,552917,807025,708980,-1,2239,-1,-1,763816,-1,-1,637128,355659,-1,115369,-1,-1,-1,-1,-1,767842,840485,221418,553776,495221,179207,489749,552174,147724,-1,-1,675051,-1,-1,-1,-1,415780,-1,424793,-1,541457,60920,431236,893435,-1,296039,189437,305309,-1,888481,154473,-1,-1,456238,-1,-1,236376,940931,-1,694095,-1,-1,-1,-1,872721,-1,-1,-1,-1,44552,669342,-1,23594,820217,971309,-1,341128,184621,379909,-1,477764,360744,-1,-1,-1,-1,-1,10287,933094,-1,400712,-1,-1,248806,582961,167667,777116,500225,-1,-1,696157,-1,-1,-1,-1,60877,-1,515335,485282,792536,-1,-1,516196,-1,138947,908301,-1,-1,-1,-1,276567,-1,-1,789331,905409,800730,778551,408214,177698,316028,932250,367699,-1,697838,843112,599834,81001,286262,71344,-1,358381,-1,-1,-1,-1,225740,-1,-1,-1,-1,568512,-1,956435,-1,-1,306777,168548,356174,124477,46348,-1,-1,-1,-1,-1,2002,-1,-1,177719,688801,592303,818191,515469,-1,482353,-1,-1,765661,-1,783933,536267,863071,974743,-1,743671,-1,312458,-1,-1,-1,-1,234566,-1,-1,-1,675786,84619,918705,-1,424658,771298,600722,-1,535155,572046,-1,800084,-1,-1,877978,-1,-1,863419,-1,-1,973377,460285,547415,-1,247325,-1,-1,840646,-1,-1,-1,-1,463233,-1,-1,377471,257800,-1,534522,541361,250315,-1,-1,-1,217690,65622,766479,512017,-1,421569,561364,656014,-1,795204,635749,618431,-1,161648,-1,-1,894172,-1,-1,901061,672148,-1,-1,280081,-1,377030,-1,111523,-1,-1,-1,-1,547571,4947,911752,340044,647463,236991,-1,-1,-1,-1,525545,-1,-1,623364,440870,-1,-1,542576,-1,490185,-1,406788,-1,-1,809145,893784,-1,983709,-1,956204,73484,216758,-1,-1,-1,-1,174178,995200,-1,-1,204811,-1,-1,532741,-1,-1,-1,-1,798419,-1,-1,-1,43127,310344,444319,847345,306034,401700,-1,-1,-1,-1,-1,-1,568141,-1,289155,170894,-1,548298,987641,761020,855364,-1,-1,-1,795988,313668,-1,-1,-1,819171,-1,396778,39365,310873,-1,336367,563901,665929,478387,-1,534029,-1,657899,460235,-1,-1,828306,322891,-1,143669,-1,5356,-1,-1,-1,-1,-1,557212,-1,438196,-1,-1,-1,-1,404027,-1,-1,522883,954169,-1,283529,286734,-1,517457,835337,9767,-1,-1,23493,798951,-1,241572,386791,-1,269299,742514,-1,-1,-1,879079,-1,-1,290798,-1,63250,-1,-1,733104,782302,-1,458352,-1,-1,374204,766938,-1,-1,-1,-1,-1,394412,-1,256946,-1,-1,-1,980448,652473,792560,816245,-1,609232,400248,93915,-1,126380,6291,-1,56002,544609,-1,316525,889096,-1,-1,-1,82405,552577,-1,478069,24809,857416,756835,46921,-1,-1,-1,93007,246734,526452,477147,908555,739821,-1,924533,-1,-1,-1,523155,239812,321535,-1,-1,-1,-1,585864,-1,200738,-1,483271,-1,-1,-1,109396,-1,-1,355371,47112,-1,604537,247639,313854,757845,338293,-1,63820,-1,851103,-1,259735,-1,-1,640033,-1,208855,757850,27827,-1,-1,-1,640702,-1,788367,-1,445161,-1,-1,-1,334567,603807,-1,176698,-1,-1,453644,-1,354066,748905,-1,-1,854393,-1,244765,962999,-1,-1,314708,118569,863070,-1,-1,-1,63204,-1,497842,761462,-1,349506,-1,458389,-1,237117,486184,809369,-1,-1,883245,-1,-1,303088,177541,-1,-1,110406,-1,-1,477844,422892,728149,-1,-1,-1,958812,-1,773199,777843,-1,547910,-1,-1,-1,482640,-1,995791,-1,-1,348431,-1,-1,896511,549223,-1,-1,-1,-1,402233,-1,531836,613030,-1,78186,-1,-1,683566,-1,539154,358050,-1,-1,-1,-1,-1,-1,-1,-1,363845,903581,254901,361348,-1,576624,492067,31229,828488,-1,-1,-1,812059,-1,-1,-1,200296,395912,196538,123582,232124,-1,-1,-1,-1,-1,-1,-1,-1,545266,-1,-1,69401,862507,-1,-1,-1,-1,-1,354461,-1,-1,423105,-1,-1,747480,-1,33605,985733,-1,-1,-1,503521,223985,-1,-1,-1,-1,-1,155685,992063,83530,714482,974711,399904,891932,-1,228726,843790,-1,582623,933430,-1,48144,-1,-1,35547,581497,-1,-1,-1,629825,-1,-1,66470,-1,157494,662869,-1,171990,-1,66676,974197,-1,127818,-1,-1,590239,676512,156236,473786,391744,926679,650617,-1,-1,476605,761704,735779,-1,230302,391279,674141,847337,534618,-1,70521,-1,865886,607593,68168,-1,726137,-1,272867,947038,610367,-1,272916,329262,-1,609862,455895,-1,402331,82092,-1,-1,844480,481689,-1,33777,780240,778228,692671,-1,-1,531818,-1,-1,-1,128317,-1,-1,476426,-1,-1,150138,-1,-1,-1,-1,-1,808142,371571,-1,-1,-1,265239,862134,785528,-1,-1,828365,81016,-1,-1,332159,512061,-1,964010,-1,-1,841703,412324,622024,838731,-1,925672,361130,-1,898493,-1,908361,395273,595697,755294,-1,791225,2618,872618,6423,-1,-1,-1,432891,403080,-1,-1,-1,882402,922074,-1,-1,48697,352951,-1,697066,-1,-1,-1,504870,764709,82903,659202,-1,604957,198404,296219,430003,-1,300066,-1,816310,358045,368702,195259,-1,194896,-1,-1,-1,169549,244798,169064,695222,-1,-1,-1,-1,-1,799989,-1,847613,589687,86807,134244,-1,449806,68422,884140,-1,-1,-1,247001,28239,-1,709106,-1,49081,894237,-1,-1,817115,176181,30913,188877,261455,-1,-1,875272,-1,160783,380490,916560,195245,-1,63993,743432,-1,-1,534,-1,418485,-1,918464,-1,-1,-1,-1,875121,340148,-1,-1,-1,-1,-1,994401,-1,297767,-1,-1,-1,159672,-1,690390,-1,511576,57363,-1,-1,552089,-1,-1,-1,-1,60872,-1,695741,-1,776464,183062,267423,-1,-1,341688,-1,611495,949115,-1,916009,477632,205886,694197,357883,25099,-1,786051,924198,181736,185635,-1,-1,731367,-1,-1,-1,595762,571975,310686,247655,673097,-1,447139,945249,784839,-1,458007,-1,-1,-1,-1,-1,976669,-1,-1,703410,-1,-1,247483,162043,-1,-1,256028,-1,-1,-1,-1,-1,719430,-1,-1,-1,-1,86846,-1,-1,-1,533346,975304,117376,714976,-1,-1,-1,-1,667925,715203,-1,-1,958530,593094,140630,-1,471343,326613,-1,964944,395589,-1,-1,-1,-1,-1,83884,415103,50862,-1,-1,358556,-1,263131,-1,783238,678657,-1,-1,-1,-1,-1,205414,269955,-1,124003,-1,2611,-1,834080,721110,-1,-1,-1,-1,-1,450764,442895,-1,-1,241508,-1,-1,85909,-1,854355,-1,270194,-1,-1,-1,-1,1963,-1,-1,-1,-1,627630,631591,120318,-1,547003,266430,-1,-1,-1,-1,-1,-1,-1,590198,-1,271856,459143,529574,-1,-1,280610,369765,919383,-1,-1,-1,855076,755724,357764,245075,-1,394308,-1,-1,975391,-1,784207,714356,285691,178958,-1,-1,-1,942497,112667,810775,456985,-1,366537,-1,-1,133443,642127,-1,-1,876859,840246,-1,134436,469211,50226,643594,197696,733604,-1,-1,-1,131063,-1,878189,-1,-1,-1,-1,208698,802298,907450,-1,-1,264453,466411,12605,-1,67405,645447,137353,-1,864006,671809,709713,-1,-1,-1,325366,-1,-1,-1,360068,372686,497337,60501,-1,537118,963499,523427,439128,863263,812091,611574,-1,-1,-1,98166,-1,-1,-1,-1,920557,-1,191348,-1,-1,-1,-1,-1,669961,183583,-1,-1,-1,264252,-1,958456,-1,900659,45227,-1,746551,-1,994193,-1,617041,753688,525712,-1,329050,-1,-1,-1,-1,134529,-1,-1,228798,-1,396903,-1,-1,-1,-1,394779,-1,-1,-1,-1,-1,584351,26852,-1,904020,-1,-1,227845,801873,-1,769194,864462,-1,-1,838605,304816,731217,-1,-1,-1,-1,780061,288860,-1,786331,-1,907523,569996,-1,-1,-1,619043,-1,766147,-1,-1,184645,130667,-1,982229,-1,-1,212629,666152,652555,646705,544020,77333,-1,943583,44480,472537,-1,-1,516564,-1,-1,750395,565333,984438,-1,829025,163046,128566,708796,-1,202076,477084,928536,-1,932699,-1,243716,774749,-1,456092,268619,-1,611328,-1,583042,236251,25176,-1,-1,329615,13675,154309,551053,958039,247123,747014,-1,764664,-1,-1,-1,-1,-1,-1,691325,-1,-1,825117,-1,-1,-1,322669,-1,183123,-1,-1,839009,689646,-1,-1,-1,489381,-1,978265,-1,124143,979296,-1,-1,835467,-1,174316,-1,-1,697794,-1,-1,-1,-1,66696,-1,-1,605574,-1,925531,186080,-1,-1,738337,1598,384053,531881,343907,196002,-1,-1,-1,-1,290871,-1,-1,359118,729447,-1,389506,239299,-1,-1,-1,-1,592702,-1,-1,-1,-1,-1,-1,58937,-1,208314,959046,36032,836686,-1,164638,455502,-1,-1,97593,-1,-1,-1,-1,-1,-1,396511,-1,-1,332124,-1,-1,98252,-1,-1,-1,264577,-1,-1,-1,-1,30234,-1,-1,679421,678123,-1,853473,886898,22565,411183,-1,-1,-1,969833,-1,908480,-1,61870,-1,-1,340373,-1,319278,413594,-1,411178,95442,-1,206724,-1,-1,-1,-1,-1,959286,968375,-1,21434,-1,-1,-1,431726,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,36510,-1,-1,-1,-1,770924,795745,389165,984342,174418,-1,99116,758194,-1,-1,333724,-1,-1,-1,-1,-1,644151,-1,-1,993135,196409,-1,-1,-1,804022,-1,-1,32620,727222,-1,53388,-1,-1,742148,-1,259487,265220,882104,-1,-1,-1,173600,85201,890446,327536,674186,-1,-1,650460,-1,-1,10275,-1,-1,890070,310471,884845,282078,-1,580167,396839,-1,-1,-1,-1,-1,666493,499731,-1,635894,-1,-1,354817,462760,38891,326685,733607,-1,718416,-1,618546,-1,-1,592453,-1,-1,-1,183336,71892,-1,-1,145134,-1,341978,416769,986082,620005,-1,552897,-1,-1,258643,-1,-1,41933,-1,-1,758281,330679,-1,156946,88107,144197,823977,756055,-1,-1,872041,487290,920199,-1,-1,-1,625362,552433,-1,-1,-1,384302,928013,-1,595788,291250,7905,-1,-1,-1,-1,358234,25798,359636,-1,43307,-1,137161,-1,438003,299713,-1,-1,-1,669948,-1,700498,-1,-1,-1,-1,-1,133127,307347,653006,-1,239028,118706,531234,829138,222520,-1,704373,733215,346660,-1,-1,161193,49148,615670,506305,298368,621896,-1,-1,-1,91998,-1,-1,293685,-1,-1,942142,-1,-1,313991,158661,411556,885914,425341,739938,-1,-1,912627,-1,260182,29438,231873,-1,-1,-1,647589,339660,907822,135971,465275,377738,913609,862182,361489,-1,79213,-1,19144,567475,363681,-1,119523,674989,509106,-1,349571,-1,759070,724292,-1,686428,916086,-1,-1,788798,-1,-1,23142,-1,-1,-1,74985,-1,-1,-1,-1,-1,-1,-1,509495,806188,-1,-1,947000,-1,785437,-1,174253,53497,575596,-1,-1,884585,-1,-1,976321,-1,-1,-1,979379,875133,-1,-1,-1,825371,-1,-1,287797,-1,294204,345540,-1,565358,-1,849798,118417,652028,118308,951361,-1,618579,-1,-1,-1,490516,-1,-1,766288,-1,-1,-1,716605,-1,249657,-1,-1,470872,426753,612190,274276,-1,289169,-1,-1,-1,-1,-1,-1,-1,605293,-1,517201,-1,-1,462117,-1,-1,729567,554688,-1,454537,462898,-1,-1,-1,-1,181601,58627,-1,-1,-1,696237,-1,-1,-1,618857,-1,685111,-1,439391,271620,-1,348595,998191,945066,-1,-1,970489,-1,256644,536185,-1,-1,-1,-1,654598,649372,-1,860532,-1,-1,248493,794575,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8765,-1,-1,-1,-1,-1,-1,399798,186953,-1,213190,423399,-1,-1,965662,572312,-1,-1,687116,733913,992038,-1,-1,-1,-1,-1,490070,9761,-1,-1,-1,178682,-1,766898,-1,792385,-1,783379,329532,405584,653758,331795,365519,-1,286702,511296,-1,-1,-1,761646,-1,822606,-1,-1,-1,-1,-1,-1,480826,-1,708020,-1,-1,-1,324676,-1,323898,979693,-1,672563,-1,227917,695203,530451,18719,581756,180592,52269,-1,988222,933525,-1,965368,-1,-1,-1,-1,-1,-1,124807,-1,-1,-1,929320,-1,730415,187472,46266,-1,-1,706195,-1,-1,-1,377866,-1,-1,895411,976903,602150,-1,51335,789112,986576,-1,-1,479322,333693,-1,-1,914458,366310,-1,169978,-1,164226,762641,-1,-1,19964,-1,183632,-1,136011,989564,886812,-1,627780,921245,-1,345991,533011,-1,-1,428167,-1,553488,135600,-1,241071,505070,-1,940783,573471,-1,199305,-1,-1,-1,763768,-1,-1,-1,-1,-1,-1,-1,273,33095,-1,-1,-1,44503,-1,317941,30956,569686,-1,-1,320768,322095,-1,406667,-1,-1,-1,-1,654531,-1,-1,300441,472457,-1,388985,-1,-1,164664,-1,-1,744905,58629,988807,-1,-1,-1,-1,413370,-1,-1,-1,-1,-1,-1,68073,257642,71023,-1,138702,597502,-1,613738,292576,-1,968227,-1,176375,106279,589632,-1,447443,964952,811709,992786,206400,589656,-1,-1,-1,-1,-1,243876,142225,74096,153262,-1,870504,676652,-1,345932,305650,-1,-1,-1,-1,102127,836711,-1,212624,-1,-1,-1,676429,522511,-1,910823,-1,35975,809657,-1,-1,-1,-1,177714,975334,-1,803550,524522,905673,-1,-1,-1,168392,-1,40037,-1,-1,-1,191110,-1,328260,571207,-1,361335,-1,931388,261038,935422,788838,140511,-1,199517,-1,459204,98138,-1,61153,261012,660913,-1,-1,-1,-1,506197,-1,-1,-1,-1,-1,-1,-1,775007,948715,169190,-1,-1,-1,633767,753721,947948,320637,879947,376174,975891,-1,449546,935680,-1,475875,291005,639844,-1,365007,204329,170566,-1,230660,-1,-1,839704,-1,35656,-1,-1,201473,839545,-1,938476,515372,333864,883985,-1,-1,-1,-1,-1,735035,879780,904429,-1,759952,-1,461953,195861,-1,-1,-1,-1,-1,-1,-1,853299,70482,-1,721199,-1,900321,-1,-1,758614,430172,779515,-1,278312,935937,294427,-1,324068,-1,-1,662097,-1,-1,708998,-1,929225,391303,-1,106655,-1,-1,-1,-1,936588,-1,133007,674676,350229,-1,731395,-1,-1,953883,421295,810061,893566,-1,800639,-1,-1,616665,-1,768697,-1,119518,785915,249837,-1,848343,-1,-1,14768,-1,-1,291815,235688,342502,-1,810591,396954,-1,144610,71928,-1,381367,-1,-1,-1,-1,-1,-1,-1,-1,783860,819432,234049,537048,684891,-1,-1,-1,833985,-1,154623,940803,-1,716393,-1,-1,-1,529611,515675,959534,438307,-1,-1,-1,460901,-1,-1,775178,422002,-1,-1,513204,432036,-1,452764,-1,-1,741361,-1,-1,-1,-1,-1,-1,-1,-1,-1,910608,380306,-1,276485,833565,4214,-1,-1,-1,93536,-1,-1,65775,370900,325589,963964,684082,118920,-1,18177,306625,-1,-1,986149,838890,-1,16335,610569,-1,-1,431165,936067,-1,-1,-1,659772,-1,659983,533772,-1,777087,333799,272171,922282,-1,810137,-1,-1,-1,-1,-1,301087,-1,-1,-1,83223,855588,508717,-1,-1,625076,-1,-1,229961,562908,-1,-1,-1,-1,778881,425640,393045,-1,-1,361077,728823,493079,-1,128382,-1,799437,-1,448998,331758,-1,526779,45783,13559,-1,361284,822953,-1,-1,-1,601233,-1,500606,-1,-1,-1,11335,622267,-1,747482,-1,687577,-1,-1,-1,-1,708805,243799,-1,-1,44141,939163,112103,61111,-1,-1,-1,-1,509693,660599,-1,147556,783828,966211,770810,-1,143155,838518,-1,-1,-1,-1,-1,-1,-1,472382,-1,-1,98344,-1,-1,-1,909091,-1,910004,-1,-1,977280,-1,-1,-1,965220,132871,-1,129392,-1,304569,560006,275207,101274,-1,247793,-1,384277,-1,-1,738104,555701,-1,166464,-1,922616,257640,-1,253423,-1,-1,-1,493754,293453,546345,657841,978034,72894,757601,96034,-1,-1,-1,-1,-1,371485,-1,597809,-1,-1,-1,211243,154794,923237,-1,-1,-1,936359,-1,-1,-1,335183,-1,-1,-1,-1,111680,-1,-1,-1,-1,884472,682228,533141,570894,532811,346953,-1,-1,-1,-1,-1,-1,-1,193522,664083,-1,-1,20036,785828,-1,-1,-1,-1,-1,931978,-1,270031,-1,130036,-1,214556,536234,-1,-1,-1,256372,-1,554708,164508,156154,-1,351366,-1,938908,-1,832248,513632,-1,786240,26623,348542,-1,-1,986654,16927,-1,283403,-1,494852,827944,845859,-1,493418,-1,-1,-1,-1,129379,-1,-1,-1,973837,-1,922313,302665,-1,-1,220665,-1,-1,-1,37294,310761,835625,122213,-1,411403,624385,94965,870351,-1,-1,-1,311581,-1,476622,812481,699155,-1,190081,60573,471964,297349,432516,-1,404779,476728,-1,507777,-1,165526,1489,622573,-1,107346,505285,37626,705903,-1,985601,-1,-1,337333,147431,-1,-1,156510,-1,-1,613021,269822,741791,379937,595208,773323,-1,-1,268580,-1,-1,-1,845059,438158,-1,298941,628963,-1,233133,-1,-1,778971,-1,-1,505582,168403,712073,201112,-1,120403,593063,878980,303098,-1,246249,157543,420905,304802,773136,12982,374767,48308,746206,-1,-1,276057,-1,558254,686900,336342,940458,546431,-1,-1,-1,-1,88979,-1,-1,-1,484674,279968,-1,505300,-1,330874,773529,-1,-1,92570,874058,-1,-1,364139,193986,270545,-1,82719,-1,318522,765117,4755,-1,-1,411019,-1,-1,-1,957062,-1,280512,-1,-1,-1,-1,544366,733094,-1,-1,396264,633306,-1,-1,691530,-1,-1,582177,915104,869641,784064,4107,-1,917979,837599,-1,-1,-1,-1,394638,-1,-1,-1,-1,-1,765097,620130,152809,475492,499593,431099,571041,620530,-1,864421,944026,631421,122196,-1,-1,-1,300587,731727,132145,864095,67922,-1,953848,881055,226047,-1,143116,-1,579576,-1,884065,-1,-1,525491,640484,-1,-1,-1,-1,-1,-1,-1,402301,799179,591896,806771,838611,-1,948902,-1,67269,-1,268227,329574,-1,376034,-1,5361,333039,-1,-1,759826,192515,-1,363436,787045,-1,-1,835225,-1,-1,-1,865339,-1,646889,890209,447820,-1,220379,-1,-1,875611,48307,726018,-1,977901,993277,323930,933898,-1,-1,411364,191545,46847,171571,441115,672763,-1,-1,-1,-1,-1,883732,-1,488781,861981,378131,-1,197567,755231,464800,417938,803120,652784,-1,-1,606307,-1,387835,379301,839734,441040,835439,139931,-1,-1,-1,271532,571208,391335,-1,-1,-1,289969,-1,-1,500120,-1,854409,561677,958262,149050,213707,-1,880490,874563,183246,915596,664603,270954,-1,-1,84229,-1,535014,346504,370966,265823,-1,113507,131333,-1,969556,-1,665198,-1,-1,182788,-1,-1,-1,903885,864345,592681,144974,802714,52742,-1,610058,633724,-1,-1,-1,21505,206999,885407,-1,-1,-1,-1,723104,-1,905107,-1,592760,359593,637044,-1,198065,-1,126103,-1,113114,-1,124592,-1,-1,157576,-1,495789,-1,-1,208054,-1,-1,102519,-1,162368,806318,-1,975170,686946,624689,144861,-1,36994,-1,-1,232462,946095,-1,-1,-1,444602,995920,549214,735022,-1,-1,-1,-1,211619,-1,-1,620013,967680,854608,-1,354238,956250,596691,-1,652875,-1,192112,972172,-1,-1,96461,-1,928797,-1,623836,-1,168576,-1,-1,109161,627482,744750,-1,-1,-1,-1,-1,772613,456841,-1,-1,-1,-1,421288,193137,-1,-1,991226,819568,961944,120794,-1,-1,288740,-1,424609,-1,-1,-1,-1,530118,-1,55549,799232,39687,503365,885814,588545,-1,315491,272213,-1,-1,-1,-1,-1,-1,-1,457950,885331,-1,575368,23178,-1,-1,222610,-1,-1,-1,-1,-1,-1,452038,289796,634646,-1,-1,961082,58679,512791,-1,-1,-1,520590,-1,258248,66373,345,-1,-1,-1,-1,874288,-1,-1,143868,-1,874618,-1,881458,-1,955803,583470,-1,-1,-1,-1,-1,127332,601234,-1,-1,-1,-1,-1,392734,412994,532504,-1,576552,181600,-1,977783,173533,-1,-1,758699,-1,-1,-1,-1,-1,-1,912526,-1,874089,-1,596413,142799,692119,-1,599502,-1,-1,303206,-1,399035,-1,96370,-1,902946,-1,-1,-1,266864,943893,950595,418681,-1,-1,412503,-1,-1,-1,-1,776949,743425,-1,309927,78823,-1,-1,-1,-1,777129,-1,110461,169878,257733,-1,-1,201728,962336,270787,299151,-1,443211,882960,-1,295263,143068,-1,-1,16743,-1,389090,68393,816453,-1,-1,912913,-1,-1,101973,527101,88400,-1,-1,-1,962872,-1,212142,113566,635057,-1,581121,512857,182421,900791,-1,-1,-1,362505,-1,589228,45618,644443,679900,-1,893092,-1,862550,-1,20109,-1,135237,-1,147309,-1,-1,-1,-1,-1,-1,-1,618528,-1,-1,952734,-1,35731,62550,976753,818666,443406,-1,-1,-1,-1,261624,-1,-1,380331,-1,961799,-1,-1,848391,343964,-1,-1,-1,772376,-1,832930,-1,605519,716899,-1,-1,-1,289963,-1,-1,985022,853251,-1,985428,65470,289729,878045,-1,777933,-1,-1,476863,-1,413892,760811,-1,888959,963589,-1,-1,257974,-1,-1,507896,-1,909135,-1,-1,-1,-1,-1,-1,-1,83616,-1,-1,-1,492875,-1,-1,-1,-1,-1,-1,-1,760936,-1,-1,-1,-1,-1,805939,437407,356266,-1,817644,-1,382826,-1,-1,-1,405571,-1,-1,-1,546537,801283,-1,366775,942167,205268,383373,397855,54498,-1,499560,430362,-1,841428,434842,438275,-1,678557,-1,980336,827062,-1,411669,-1,-1,101014,-1,888255,914146,-1,-1,-1,291007,824407,372558,-1,-1,537037,729322,354898,-1,-1,-1,588797,-1,-1,527245,38121,-1,995602,-1,-1,-1,904683,-1,-1,504730,-1,659554,-1,974933,899721,623201,-1,758927,-1,-1,883507,-1,497287,-1,968927,-1,976905,65556,963320,-1,-1,107467,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,451731,788665,850492,435900,-1,-1,257057,259537,-1,-1,883199,-1,-1,225255,462072,-1,-1,865493,483164,704180,-1,82830,804682,-1,351059,499729,-1,858013,-1,-1,786655,-1,402620,-1,-1,921850,-1,304287,-1,300447,166981,942766,860274,247146,-1,-1,-1,-1,249204,659470,61844,755152,556791,817562,-1,206663,-1,-1,-1,-1,807225,504075,-1,-1,-1,-1,94517,-1,708973,-1,581346,969193,948125,742152,-1,863999,818478,912986,-1,-1,172035,257030,47841,-1,-1,716770,890844,277779,357510,351363,872143,758921,-1,-1,810343,872474,-1,-1,598042,154067,-1,-1,-1,-1,847023,406720,882472,140570,937875,-1,490981,24772,326411,318420,-1,-1,900208,930726,388858,470977,39223,-1,299531,491976,-1,28578,352362,-1,-1,-1,-1,510944,65402,-1,-1,589152,746644,-1,884251,287962,-1,1835,372398,-1,796657,982288,606838,102134,-1,-1,334178,808560,-1,-1,332059,69364,82422,129329,115178,53050,961893,502388,-1,59512,-1,746322,833580,-1,-1,-1,-1,925066,-1,85982,-1,-1,-1,-1,-1,-1,-1,613590,-1,69078,45810,379196,16618,-1,-1,-1,819061,-1,-1,-1,-1,-1,-1,253699,443780,792054,617391,-1,276796,897697,475561,65217,-1,103592,57728,-1,25836,254838,222377,-1,-1,189910,407793,411292,-1,658058,-1,906169,-1,854179,-1,818327,-1,467576,-1,-1,48907,-1,971287,36977,632185,218830,806307,388028,-1,-1,343795,462715,326479,981779,462660,112010,315437,-1,652078,-1,-1,203470,-1,624453,-1,-1,-1,646957,360551,786115,-1,-1,-1,855728,299835,15542,578002,-1,-1,-1,137807,813017,210547,-1,659139,797509,-1,165974,-1,452343,-1,-1,788046,-1,-1,156299,-1,92719,-1,-1,40312,-1,-1,890285,-1,-1,-1,489137,-1,389807,421192,708028,32366,-1,-1,102901,-1,-1,767546,-1,-1,-1,-1,-1,814763,790053,317627,-1,-1,974506,592658,813083,-1,901903,-1,158835,772383,-1,-1,206410,528551,94055,-1,-1,604698,927837,465870,-1,360491,-1,-1,576427,-1,-1,962846,-1,-1,485301,-1,986990,261603,-1,219726,997208,-1,-1,256343,-1,-1,697162,-1,-1,-1,-1,-1,465716,-1,135201,-1,140858,101386,-1,876249,152169,122238,-1,-1,520904,-1,440826,888740,23862,313519,-1,-1,-1,712865,21361,-1,-1,843735,-1,-1,55135,709185,-1,4170,-1,-1,335419,628052,320096,-1,596818,-1,-1,-1,96868,-1,982353,-1,404182,746682,252091,-1,-1,-1,396607,464157,120947,-1,939087,580622,930831,872327,55788,-1,291358,47369,522677,-1,436415,-1,731231,-1,-1,458001,167462,854039,-1,-1,-1,70684,-1,424311,797227,-1,85190,870802,611271,996714,101080,-1,-1,57505,51251,-1,-1,-1,596182,-1,-1,153744,-1,-1,769649,885824,-1,-1,710426,-1,70735,-1,917243,-1,-1,814591,-1,617338,557070,752524,499911,-1,-1,-1,222879,-1,-1,-1,-1,990440,443969,755178,571905,-1,165834,554873,361179,-1,820268,-1,-1,812777,-1,363055,480500,-1,-1,328623,22418,-1,-1,692146,457389,-1,-1,669086,-1,-1,40506,142360,-1,700691,509035,66510,-1,-1,-1,50955,-1,-1,846894,531871,-1,-1,-1,956571,-1,-1,252195,-1,-1,-1,340454,925034,-1,843028,-1,-1,474618,-1,-1,710100,511430,-1,556029,-1,-1,625894,268221,-1,880808,107434,658697,104992,934553,-1,723582,-1,-1,-1,-1,730044,-1,612114,-1,-1,192427,-1,857090,308800,838619,348753,855640,-1,543713,9769,-1,-1,-1,-1,407985,-1,855198,27011,147785,741939,754394,-1,-1,922022,-1,-1,657395,743465,-1,-1,-1,-1,-1,889729,-1,161598,-1,-1,29604,-1,17228,809279,581911,-1,-1,-1,-1,666705,-1,-1,-1,-1,137797,-1,463196,221827,-1,873523,94028,-1,599279,-1,-1,990222,377659,312145,992194,59586,798975,991132,810010,649596,721343,-1,334356,-1,-1,589053,537698,-1,-1,-1,748074,481274,529461,-1,912011,-1,797962,482540,-1,-1,873407,-1,433958,-1,475236,553148,155026,-1,-1,78438,-1,-1,186797,-1,-1,871004,-1,-1,-1,-1,807710,-1,542508,770519,967534,111690,-1,942637,903103,-1,293650,776292,501382,-1,-1,240184,-1,-1,362904,-1,136457,763454,511806,360331,360159,835754,-1,611790,-1,741621,663462,179579,400651,-1,119951,454135,519988,312101,186476,495482,706615,-1,-1,888861,408851,-1,-1,722445,-1,-1,382464,526547,-1,-1,-1,-1,-1,-1,737581,46803,354783,980146,-1,-1,-1,332383,-1,465842,822335,-1,82297,147612,-1,-1,-1,301321,441449,-1,-1,-1,-1,793448,955041,694580,-1,423829,-1,-1,-1,554327,90027,-1,537121,-1,-1,572575,319963,892060,144885,-1,-1,-1,-1,966969,-1,-1,-1,-1,-1,487349,-1,797481,-1,-1,-1,418158,871917,-1,-1,308548,572936,686938,443172,891043,83718,-1,348177,223665,-1,915744,-1,-1,-1,-1,-1,-1,44826,-1,983606,-1,187094,62561,-1,-1,-1,81866,973364,-1,-1,-1,-1,704834,972032,-1,484082,-1,-1,404471,-1,986118,516209,618027,-1,109063,684364,-1,-1,-1,-1,-1,-1,37945,155889,178888,-1,477351,658613,291313,-1,889391,209343,465840,-1,-1,312191,-1,-1,736192,313395,391875,289226,-1,-1,838007,-1,-1,988500,993995,-1,756645,265937,499631,-1,191987,-1,-1,560867,177976,-1,-1,824752,-1,-1,566938,-1,903310,-1,301835,-1,146512,-1,188430,-1,-1,631253,-1,53698,516951,896672,455990,-1,226780,764608,270044,221397,-1,-1,-1,-1,-1,270134,-1,-1,52133,-1,300352,-1,659757,-1,679819,-1,321359,280722,-1,-1,458590,-1,190906,-1,-1,-1,-1,-1,-1,444726,-1,567281,58320,-1,917833,-1,560258,272520,-1,128171,-1,36291,-1,513577,-1,580350,-1,286530,-1,-1,-1,-1,39387,-1,-1,630201,-1,503010,457432,420165,530764,-1,628201,3425,861259,74361,20807,-1,681164,-1,-1,-1,-1,-1,595673,411600,238570,-1,367392,-1,520141,-1,-1,559182,-1,-1,-1,602400,993905,-1,-1,206434,145630,-1,-1,-1,-1,-1,-1,-1,-1,457868,-1,-1,-1,-1,414804,-1,-1,-1,-1,263832,517855,-1,720302,126167,830603,-1,529576,-1,131824,978187,634953,-1,-1,373740,775713,288221,314963,-1,-1,357520,-1,-1,-1,-1,-1,-1,529535,454155,-1,67646,-1,-1,-1,-1,-1,681996,-1,673020,-1,-1,926234,-1,-1,-1,-1,-1,-1,263155,-1,983799,938254,-1,-1,-1,351147,456179,611188,-1,-1,-1,-1,-1,-1,911686,710790,253125,227556,174513,450586,-1,437810,345541,-1,709468,672846,959034,-1,971137,-1,-1,405191,-1,52733,-1,789987,781786,448944,-1,586447,-1,-1,37141,-1,334412,416926,95259,905100,-1,871261,-1,406781,156435,-1,79829,-1,600411,63061,-1,666464,-1,-1,-1,-1,314496,98940,-1,898158,-1,532858,-1,800875,616902,-1,279568,-1,216760,125280,-1,-1,-1,685755,-1,-1,717075,-1,828656,-1,-1,-1,325833,851737,196243,-1,919586,735200,993151,665271,-1,354112,-1,-1,-1,-1,-1,644359,420194,918433,52770,-1,-1,-1,-1,-1,-1,-1,-1,529039,967107,739129,-1,-1,893989,-1,-1,-1,-1,-1,-1,979435,-1,561599,-1,-1,-1,-1,480490,-1,-1,-1,-1,258069,-1,-1,-1,-1,-1,-1,-1,-1,-1,975795,823812,593410,-1,-1,-1,-1,256192,-1,717765,535094,565106,-1,182175,-1,826233,-1,-1,484069,-1,507521,437741,-1,-1,-1,11121,-1,931968,312195,920703,247180,-1,-1,-1,799123,-1,617829,-1,211528,978650,-1,779201,-1,179839,-1,817730,-1,-1,-1,-1,-1,376447,-1,-1,-1,891549,356239,790860,-1,685014,-1,-1,-1,-1,-1,-1,575616,-1,925839,549224,-1,-1,968487,-1,58415,-1,433085,988686,973773,-1,-1,-1,184305,-1,700121,-1,157822,-1,-1,436472,629360,28156,615621,908130,150940,-1,-1,899163,513460,883556,550794,-1,-1,-1,300107,64879,340961,-1,-1,147708,46489,269107,-1,-1,885211,-1,153215,-1,697855,-1,128345,917867,403291,107519,497798,-1,-1,187265,716908,-1,591407,-1,-1,788179,-1,-1,304405,-1,-1,-1,-1,747879,-1,-1,873048,507791,-1,-1,348163,-1,-1,-1,-1,-1,-1,20056,-1,-1,-1,228649,-1,983467,28558,121058,-1,525799,-1,-1,-1,90726,-1,34456,-1,229556,725269,863097,95617,-1,-1,110321,-1,-1,-1,-1,-1,-1,940633,52401,-1,-1,24986,234990,-1,-1,971939,439193,795410,-1,795515,-1,-1,108280,194323,-1,-1,14949,324336,821896,-1,515905,-1,973204,-1,573108,-1,88080,616120,-1,-1,97289,326489,399217,526101,480835,-1,355406,-1,-1,-1,665295,668381,90878,-1,-1,-1,621393,-1,953174,-1,923339,372952,447455,-1,-1,273887,-1,802385,-1,974645,22847,-1,956795,571963,281984,968657,212286,-1,-1,-1,-1,90677,-1,-1,170294,-1,289086,-1,-1,106799,-1,687575,226613,-1,-1,961663,-1,106062,441510,414347,-1,118797,979972,-1,831177,-1,-1,27032,-1,198909,407873,-1,490711,561018,109413,829397,204525,619254,837444,933534,-1,-1,-1,428455,-1,734374,238586,667355,-1,999340,-1,17754,-1,949666,609923,897787,-1,555288,-1,288282,566528,698182,-1,-1,406053,-1,-1,-1,471395,17975,-1,215480,614078,-1,-1,-1,409123,-1,-1,536931,985131,-1,649503,825217,-1,697923,210975,-1,-1,-1,-1,-1,-1,614148,387417,916122,-1,695108,814957,-1,-1,748963,-1,-1,608829,-1,-1,717840,-1,-1,-1,-1,-1,910688,-1,704035,-1,-1,469862,891970,570270,-1,-1,227637,813932,639140,-1,-1,892931,-1,-1,-1,-1,828124,-1,874104,-1,-1,-1,-1,684936,173875,-1,-1,-1,-1,-1,856410,-1,-1,455796,-1,171172,-1,778021,459900,-1,738769,355748,-1,-1,767798,-1,-1,688437,-1,414712,-1,-1,-1,48256,682702,2080,470309,185093,-1,541778,-1,817747,617017,-1,451176,-1,556167,-1,-1,-1,-1,98189,687101,547996,859711,316203,413316,35640,-1,490470,-1,482876,210897,611763,-1,696081,919017,-1,-1,-1,-1,520760,-1,-1,4006,337259,-1,-1,45575,812885,981791,650283,-1,737482,-1,-1,351899,-1,615488,55281,-1,70295,-1,-1,-1,980292,-1,878940,133273,469291,936161,-1,-1,-1,-1,-1,417509,-1,-1,-1,-1,-1,-1,-1,399862,231093,-1,-1,-1,-1,927938,573066,-1,396904,-1,98333,218616,-1,-1,667098,-1,-1,991589,559213,-1,-1,600626,-1,-1,346795,453670,-1,-1,-1,-1,492870,-1,775387,431424,-1,655883,313349,-1,-1,710376,-1,729400,-1,498835,63403,291275,862552,557033,62270,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,163963,631168,-1,-1,497566,161416,-1,966908,-1,-1,216150,-1,-1,-1,644745,902348,242779,-1,-1,175333,449773,949645,258766,129235,-1,746467,-1,-1,-1,-1,346657,-1,538502,622685,-1,639919,384838,-1,-1,758030,60002,293387,206952,-1,-1,-1,-1,423640,-1,-1,-1,-1,650273,-1,927676,-1,18161,448358,267494,387632,69879,445312,754938,824108,594310,-1,610358,-1,240103,-1,-1,603543,302381,53544,-1,873270,859345,-1,977535,650811,882161,-1,724331,862720,-1,788134,225581,66086,-1,-1,631054,-1,347634,-1,758649,56183,-1,307376,-1,637204,594525,-1,-1,728883,554150,709415,815594,-1,201689,7279,-1,-1,-1,-1,-1,476582,690526,-1,457046,194238,416702,405151,919073,-1,-1,-1,866500,316215,-1,-1,-1,-1,339640,569407,513069,-1,262295,-1,-1,915762,112467,-1,-1,85392,960012,-1,-1,-1,-1,507036,-1,110347,990947,-1,49710,-1,307512,637241,-1,103061,864805,123766,-1,-1,133433,153014,404674,649192,200392,-1,714107,527031,-1,-1,212726,69900,521986,-1,-1,-1,756383,-1,-1,433196,209027,544712,536259,-1,691852,-1,-1,-1,-1,404576,-1,-1,505440,-1,-1,765208,-1,8830,-1,-1,261194,406075,43900,302864,408152,-1,-1,112853,-1,113988,-1,-1,108996,-1,182727,824240,632970,-1,-1,945578,-1,800229,-1,-1,-1,-1,580980,-1,-1,688526,133332,-1,-1,525575,-1,47452,915698,525753,-1,-1,-1,608202,662753,80926,55384,-1,-1,-1,739380,-1,-1,-1,57042,-1,918441,-1,-1,-1,-1,121041,160781,459283,-1,-1,-1,-1,698765,960067,-1,-1,-1,-1,492644,-1,417137,-1,196608,494595,636705,376944,-1,-1,-1,549297,-1,678468,-1,-1,-1,159730,455467,-1,141199,-1,153293,56457,395480,-1,275330,-1,-1,-1,944188,546793,919163,-1,919435,-1,-1,-1,12946,760492,-1,-1,360044,-1,944103,-1,-1,523409,435901,-1,-1,-1,-1,542113,697014,823600,-1,132557,34925,147975,273926,911053,-1,109656,-1,422917,159334,38699,-1,-1,-1,966821,-1,102727,-1,705203,-1,-1,810463,88541,671477,-1,332276,-1,-1,737714,-1,-1,845284,895840,998207,-1,368749,57885,-1,-1,175322,103812,-1,528913,-1,-1,444839,-1,-1,569559,788744,-1,-1,818336,-1,488432,64825,-1,-1,-1,-1,222217,370576,-1,-1,-1,-1,-1,406026,-1,-1,-1,111213,572614,77300,-1,605486,-1,-1,-1,-1,-1,-1,-1,743880,-1,208658,465443,740506,837049,594533,555525,-1,473032,-1,-1,-1,604089,616322,90414,-1,66575,769855,111570,666599,28419,735525,-1,-1,945525,-1,-1,-1,-1,557016,129555,53370,243750,988386,776053,404773,-1,690584,318857,678800,904444,834574,-1,692247,-1,136856,557558,-1,253793,-1,790127,-1,508307,241692,-1,972959,447909,-1,-1,88213,-1,6598,-1,-1,-1,-1,-1,-1,-1,131316,-1,-1,-1,749350,-1,-1,773053,-1,600287,-1,-1,-1,-1,-1,-1,480541,155800,-1,810517,-1,293282,184478,-1,664904,399243,778981,63439,391492,730081,-1,374677,-1,-1,-1,-1,306960,301214,62161,-1,-1,110081,556290,398372,-1,-1,143828,713363,678778,362956,427136,-1,368267,365809,-1,-1,185131,863039,-1,178233,496715,-1,114316,171539,-1,756619,307160,447064,234551,-1,-1,-1,-1,644262,690349,315607,473297,13637,156051,102494,-1,-1,-1,-1,585122,84775,-1,-1,-1,-1,-1,-1,509460,-1,-1,614933,-1,-1,-1,-1,-1,960966,-1,-1,-1,581358,295884,381683,39464,-1,-1,5228,196459,279840,115737,611906,-1,408714,-1,670179,-1,219021,-1,-1,-1,-1,-1,-1,-1,213154,229540,452555,-1,-1,516223,-1,668130,135261,487615,296655,-1,-1,717741,-1,-1,963748,731172,748740,-1,-1,-1,695719,365083,926134,91955,-1,-1,-1,784855,-1,419211,-1,248582,-1,40778,-1,-1,-1,490316,836117,-1,-1,416725,581502,-1,35721,380621,989003,594723,19475,-1,-1,390133,721774,-1,-1,589691,680017,-1,367375,205526,796671,878110,-1,-1,-1,54719,-1,-1,827917,-1,-1,-1,688684,9063,366368,527045,861431,-1,-1,665487,444306,-1,634237,978918,-1,-1,-1,486212,-1,890543,-1,478108,565545,-1,-1,135822,49554,311415,405998,994583,-1,807146,518575,306969,-1,366306,312995,394228,740874,-1,-1,35340,-1,-1,301236,537857,-1,-1,-1,579418,882582,914098,126962,-1,457421,-1,-1,29083,-1,-1,312561,-1,-1,895995,-1,991446,-1,-1,-1,416525,-1,270188,240501,957969,-1,797709,199827,-1,-1,-1,-1,956760,-1,-1,926060,611590,565640,-1,864088,-1,533827,-1,908470,-1,-1,-1,450150,-1,309948,357732,33863,-1,-1,229231,345811,-1,-1,283523,-1,727454,-1,-1,-1,-1,-1,701350,-1,-1,392607,-1,-1,245357,426551,-1,473358,-1,-1,-1,-1,641448,-1,275345,-1,56166,83562,-1,-1,-1,888932,376925,557865,956970,-1,22924,121125,278890,-1,882948,913562,774775,-1,-1,-1,-1,-1,161529,963938,-1,67850,-1,-1,-1,291924,-1,17076,98738,-1,-1,-1,-1,-1,-1,825525,909400,524270,-1,110008,914926,494096,-1,9679,-1,737745,360708,-1,-1,822927,258833,-1,-1,-1,634789,-1,-1,585990,-1,760269,-1,846844,-1,-1,-1,-1,708967,-1,756798,178592,-1,875049,-1,-1,-1,-1,-1,558570,210307,-1,-1,624140,339045,-1,-1,851940,-1,-1,612656,-1,-1,716197,11281,487196,917454,-1,-1,709705,-1,-1,-1,-1,809807,423748,-1,-1,476971,-1,919112,128897,-1,-1,-1,642427,858512,74037,-1,-1,-1,414939,-1,-1,-1,-1,757146,-1,-1,-1,-1,-1,-1,-1,-1,62682,592279,549047,991823,327205,549146,-1,718177,219483,-1,-1,340530,-1,215804,880481,-1,-1,949589,-1,-1,94866,146983,-1,202331,-1,-1,568955,410408,-1,736593,35409,694592,-1,-1,420292,39803,337871,-1,719748,612841,-1,453231,-1,257265,388073,763881,-1,-1,-1,408784,-1,-1,524301,-1,287092,-1,95079,-1,437731,-1,-1,32688,621369,493415,862492,-1,291215,177829,139207,389570,-1,211134,-1,287760,-1,531594,750291,-1,-1,130532,-1,509700,776214,824743,-1,-1,-1,41216,458940,637569,-1,526550,206302,706071,-1,192320,-1,-1,561839,83569,639086,-1,859832,-1,-1,188018,983809,-1,66610,-1,-1,562811,934775,-1,599177,-1,-1,818775,523480,959459,-1,272388,784962,-1,-1,-1,524526,484949,959996,-1,151469,-1,-1,-1,-1,-1,360074,-1,778162,-1,-1,-1,84350,578164,-1,64251,-1,865673,134186,-1,911362,257241,27301,-1,-1,-1,-1,616047,-1,288071,926038,620969,677280,-1,-1,930555,232872,-1,-1,-1,519369,890515,-1,201119,-1,-1,-1,955377,910850,402900,-1,-1,-1,3598,-1,-1,531260,-1,519931,-1,-1,535140,182240,-1,-1,-1,-1,708433,396333,-1,422508,494052,-1,1182,664136,-1,-1,733390,918619,12025,-1,-1,143980,-1,41861,397470,-1,-1,839331,-1,773780,885165,518163,599160,-1,-1,751632,796641,43081,194891,-1,860153,242405,-1,-1,777414,-1,90917,-1,997119,117787,-1,10353,880643,-1,-1,675767,-1,-1,889456,-1,-1,138244,233090,-1,305862,-1,-1,202596,-1,-1,-1,608724,-1,-1,198804,-1,-1,-1,362871,617899,187707,-1,665045,437480,-1,-1,-1,38954,498987,37205,-1,-1,-1,-1,-1,-1,-1,827729,550028,-1,-1,791936,-1,-1,951832,522976,-1,15019,-1,404455,842463,-1,-1,-1,663110,215001,-1,-1,-1,-1,693782,-1,-1,216304,168753,468875,374893,-1,901463,-1,458146,501274,-1,-1,695371,293127,685185,672560,-1,152200,-1,8710,166705,-1,-1,106263,-1,851871,-1,673659,-1,-1,78117,122422,-1,-1,-1,-1,-1,-1,291695,-1,-1,217842,-1,734475,-1,890681,-1,531902,684793,-1,931925,392467,-1,-1,-1,540656,356780,-1,709417,900954,-1,389535,177768,829374,-1,249966,-1,-1,-1,67039,-1,-1,-1,-1,197481,488226,482118,-1,-1,558264,-1,233683,-1,-1,239006,-1,-1,-1,-1,689202,-1,-1,-1,-1,107859,993645,-1,680416,94937,305030,948668,237580,-1,422939,793352,218574,-1,-1,776035,-1,-1,939464,-1,162491,164703,-1,262042,532352,958432,668349,-1,368627,574696,235156,991995,633123,780653,-1,-1,-1,-1,140106,-1,-1,287150,-1,798484,342560,-1,-1,-1,-1,-1,-1,183405,-1,249716,-1,-1,771550,-1,384942,482802,201316,185966,-1,-1,-1,-1,908439,999757,208868,867310,208905,261029,488584,991003,598142,-1,433887,388017,273711,-1,-1,103289,439759,-1,-1,-1,-1,-1,774219,965618,-1,-1,-1,258549,638627,-1,417222,360122,801128,64431,926021,417871,661188,-1,161199,-1,-1,-1,703103,-1,-1,765611,788276,613824,370387,755285,796941,671893,-1,66598,986435,-1,-1,-1,-1,-1,-1,395458,684875,832250,402453,704042,269554,-1,97676,-1,-1,-1,-1,-1,513278,515324,-1,-1,354523,-1,-1,147581,119207,901291,-1,-1,615418,-1,-1,-1,869751,430044,304949,-1,-1,-1,-1,942424,26244,503170,90455,-1,741397,-1,-1,-1,605483,796638,895792,53913,-1,447094,792574,11374,-1,897780,-1,-1,-1,627135,25498,-1,191966,237842,823053,-1,-1,504192,745935,-1,-1,900726,-1,-1,-1,-1,-1,56421,422761,405735,120277,-1,-1,-1,627800,-1,-1,157201,314359,426229,-1,327214,-1,-1,-1,13435,-1,154297,146214,-1,-1,575576,215076,-1,372145,-1,-1,-1,244671,-1,-1,561470,-1,609383,610145,305237,354041,403483,-1,-1,-1,-1,412734,118442,-1,185821,226724,359047,968188,-1,446903,-1,297452,-1,-1,-1,248050,154306,158653,-1,22211,-1,531117,663545,589157,-1,343088,-1,107349,959192,167795,740624,-1,195241,-1,612364,49009,179634,-1,-1,-1,84036,429833,820530,818802,-1,893874,947354,-1,-1,285161,-1,955906,449927,882789,71442,-1,-1,411690,520246,-1,-1,602122,860032,365419,76335,961814,65312,-1,-1,582569,-1,-1,-1,-1,-1,410103,-1,643776,-1,-1,-1,-1,896642,-1,99069,-1,-1,-1,-1,219737,-1,-1,-1,241634,989067,-1,-1,-1,384935,571428,450378,-1,-1,172855,722987,707089,-1,23151,-1,-1,517715,344728,964142,471595,-1,949654,998922,-1,849332,364567,-1,-1,-1,929726,434667,370984,-1,546671,-1,691680,80624,-1,592251,-1,-1,915627,-1,137876,-1,-1,8882,735981,-1,538896,874615,-1,-1,-1,805924,-1,358934,705261,910570,-1,-1,925271,-1,917654,162315,-1,987700,-1,318409,-1,771176,-1,874038,312571,190836,-1,102799,72187,675228,982643,229154,-1,-1,-1,-1,20419,-1,-1,-1,147336,-1,-1,-1,-1,-1,701013,-1,-1,298025,-1,-1,-1,-1,125504,-1,-1,13358,-1,-1,-1,662278,483862,-1,-1,-1,669125,52674,261568,990803,-1,151636,-1,-1,474967,183074,909207,225459,-1,-1,-1,-1,714267,812069,406228,375626,-1,179280,670851,88075,-1,-1,-1,101346,709358,583764,-1,-1,963111,-1,-1,-1,-1,-1,-1,-1,154081,-1,457774,-1,235376,605550,377804,-1,215528,-1,-1,-1,-1,-1,727350,-1,-1,50136,22625,-1,-1,570163,211381,257042,866482,-1,-1,185602,342447,100308,257143,-1,-1,771974,311592,-1,-1,254875,-1,-1,-1,-1,-1,843558,78425,419822,-1,-1,-1,159161,-1,-1,923822,700830,134928,730237,800273,-1,262253,316062,29513,-1,-1,270122,613714,521409,500144,583061,616009,-1,-1,945374,-1,295681,281639,39794,-1,819046,728130,-1,-1,646545,4371,-1,88743,616788,624259,474637,-1,693407,806140,583876,-1,301498,888655,-1,-1,-1,516478,892235,312350,718937,467815,-1,-1,587625,-1,133360,-1,-1,-1,-1,-1,-1,785822,-1,767964,1323,695733,-1,-1,519559,884061,574156,519516,-1,-1,308620,-1,893983,-1,-1,545705,-1,472333,609858,-1,-1,-1,-1,-1,-1,993411,119222,-1,860414,894697,160842,924442,545930,795007,761583,-1,-1,654123,-1,249072,-1,-1,792232,-1,527042,28653,-1,-1,-1,-1,682220,827286,39883,-1,479306,-1,190810,-1,-1,476933,582739,38681,-1,-1,54222,439134,-1,-1,-1,293469,702238,-1,-1,822672,634041,100270,-1,-1,459108,367176,-1,623927,-1,-1,-1,22242,67392,-1,-1,48764,808601,-1,-1,-1,-1,217515,-1,-1,-1,-1,993720,-1,328419,974252,-1,-1,-1,656494,463867,141300,-1,810840,-1,-1,-1,-1,390901,949777,759493,311461,859994,276362,754684,-1,983813,-1,-1,-1,-1,-1,233132,484430,-1,580889,-1,-1,793513,-1,432158,-1,101050,309304,653275,-1,497828,-1,-1,227794,597837,-1,77613,-1,-1,-1,674024,954733,-1,450057,268108,-1,734623,-1,108790,944255,-1,504366,361738,-1,-1,-1,-1,-1,-1,-1,161428,-1,402635,-1,-1,-1,-1,755860,850341,-1,83109,521408,-1,25107,926377,523240,-1,-1,-1,-1,704251,-1,415833,-1,-1,-1,-1,-1,683292,681406,-1,482457,-1,-1,-1,66313,-1,257650,476899,-1,326951,-1,-1,411445,399093,923819,682986,668246,909123,-1,-1,273639,-1,618649,-1,836370,886644,-1,773211,-1,551828,-1,483042,323362,520512,915840,-1,115258,477828,-1,-1,189243,794096,-1,-1,75738,-1,865800,933077,746243,532594,-1,-1,-1,876588,-1,-1,-1,-1,-1,-1,-1,619830,-1,-1,-1,230103,-1,-1,281311,661394,-1,765021,-1,395919,-1,-1,-1,519276,-1,-1,-1,-1,-1,-1,4624,527707,697373,622314,552840,303203,-1,-1,-1,68923,-1,-1,-1,-1,183469,-1,-1,476874,797175,932634,732336,164278,781273,969399,133182,58044,319269,-1,-1,845636,1763,-1,647094,-1,881223,987280,-1,-1,767664,-1,-1,-1,-1,157734,960211,-1,957252,-1,177148,399855,440786,34024,-1,-1,910883,-1,418912,255160,-1,-1,212920,-1,152,-1,-1,199302,472244,669389,-1,15586,-1,978543,781806,-1,906072,708739,931547,-1,200727,-1,96434,610354,-1,-1,-1,-1,745213,-1,307582,193410,-1,211835,-1,-1,608861,57959,-1,829236,-1,93744,362326,-1,-1,214469,718596,767467,-1,-1,-1,-1,982207,356561,310111,23463,-1,560297,562035,659066,749152,232260,-1,171517,440044,-1,-1,-1,420321,510668,-1,752081,-1,835607,231249,-1,881811,201566,446996,-1,-1,567057,-1,-1,451700,-1,780565,-1,837953,-1,608337,-1,278830,800708,-1,-1,-1,164750,-1,-1,-1,-1,-1,840490,15372,-1,792834,336027,967681,-1,-1,770488,-1,947682,623080,749301,-1,-1,-1,-1,907247,-1,-1,367726,-1,-1,194758,762783,317246,835501,-1,-1,379693,-1,814686,163066,498887,-1,932739,957884,297190,-1,262814,-1,848108,831676,338497,-1,-1,486904,-1,554320,14370,629142,-1,-1,-1,-1,-1,318639,-1,-1,848582,43953,804527,605567,882768,970258,-1,-1,502421,-1,868522,-1,194386,657453,-1,812351,-1,-1,-1,68650,-1,-1,291083,-1,-1,780959,839697,916487,-1,163438,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,595526,-1,-1,-1,860540,990179,744341,559541,-1,-1,-1,-1,-1,-1,812677,-1,926856,409915,926680,82955,657120,786366,49344,841131,544946,-1,-1,-1,438351,-1,62278,-1,-1,969586,668790,962081,-1,-1,746070,-1,838411,-1,885464,556680,948773,-1,842183,-1,-1,-1,-1,26310,-1,464467,573456,-1,363441,-1,370706,-1,880009,540629,-1,-1,988892,-1,285589,80613,268933,322165,-1,529231,118941,-1,-1,-1,-1,965266,784028,791928,365096,974337,-1,-1,399586,-1,-1,229379,505570,-1,-1,591957,-1,428700,-1,37378,-1,-1,-1,-1,67897,35023,113417,-1,901481,-1,-1,702809,306018,-1,493451,111963,-1,317958,-1,121156,987456,952046,972511,-1,-1,-1,-1,-1,-1,963448,764141,329734,-1,-1,-1,295205,-1,36134,-1,833364,-1,548082,304657,-1,828368,-1,965636,390600,800376,957774,323244,269282,974981,632184,-1,-1,-1,829957,-1,-1,-1,139128,880195,999303,61031,317547,-1,451487,409752,-1,955370,562290,-1,-1,415054,-1,-1,-1,543157,-1,-1,-1,753131,-1,77347,78481,732528,-1,8301,818465,-1,462495,-1,-1,396270,-1,374714,435283,993966,-1,-1,441252,-1,778122,-1,237190,46730,-1,-1,181979,219996,694140,52190,-1,922172,-1,-1,-1,313245,-1,579733,-1,412235,587214,-1,-1,-1,177198,-1,-1,-1,610290,116673,976030,-1,-1,143627,-1,-1,359037,-1,591973,-1,-1,353794,-1,114568,720877,-1,656903,509454,718706,-1,473740,-1,-1,23885,-1,752299,-1,46955,-1,192160,-1,524197,-1,-1,-1,-1,-1,-1,-1,-1,68539,239769,-1,482160,-1,-1,956266,-1,130523,558858,51189,-1,324396,789748,866979,803719,-1,616626,-1,702712,-1,698274,822409,899113,-1,572416,839540,86208,306524,-1,-1,57128,-1,579744,992609,239490,-1,-1,216258,315039,-1,-1,-1,339806,-1,-1,-1,760840,820055,-1,-1,783565,178684,-1,555234,-1,-1,879200,171590,321560,589178,-1,-1,495825,182427,562606,-1,438925,-1,100169,321724,309626,195053,-1,769633,-1,-1,898144,523075,829534,94789,655653,829021,-1,-1,-1,831105,331906,593918,777589,372402,512477,671900,-1,-1,150583,-1,-1,-1,-1,-1,667068,112801,419848,82949,511753,-1,734711,258239,-1,264030,-1,645953,-1,267665,216065,-1,-1,552536,-1,-1,173882,-1,-1,996261,-1,85027,71842,197185,300375,-1,-1,-1,666378,180833,594004,120265,-1,85797,146664,32898,-1,429100,-1,-1,-1,-1,554685,942792,277675,485630,-1,305477,92054,50936,129151,783943,-1,-1,308173,-1,-1,-1,434075,-1,-1,653801,227864,502788,509922,-1,-1,-1,-1,-1,-1,341737,941622,-1,283165,-1,987736,-1,-1,-1,-1,-1,-1,100363,46526,-1,700117,-1,-1,892012,-1,-1,856365,-1,747918,920827,-1,122249,-1,327129,-1,-1,725208,-1,30357,536045,161972,-1,300730,-1,-1,-1,-1,-1,838844,580684,-1,54637,307907,-1,-1,-1,409822,628835,284257,584019,443171,-1,660403,-1,246141,-1,206789,-1,-1,7127,565690,-1,237954,-1,659801,-1,-1,516908,-1,957182,-1,670977,-1,-1,-1,-1,-1,799003,189611,361792,169675,99270,-1,820542,-1,-1,-1,-1,873083,449771,-1,838212,-1,-1,-1,96934,-1,-1,-1,-1,-1,246160,351905,357311,-1,-1,923000,852006,81727,-1,959730,-1,-1,-1,876991,724155,-1,144544,-1,-1,-1,-1,620709,723369,-1,-1,-1,-1,625668,-1,337396,345990,-1,806070,-1,-1,449217,-1,875240,76024,959139,-1,-1,-1,-1,811900,764958,981943,890202,-1,451998,-1,-1,-1,-1,33614,-1,-1,-1,-1,-1,507198,526098,-1,515221,858058,696892,-1,508306,323986,-1,609917,520238,-1,-1,664035,-1,-1,-1,39521,-1,882534,-1,-1,-1,-1,-1,112945,298505,820461,-1,-1,-1,-1,-1,-1,353714,326115,325430,-1,-1,358855,-1,501173,524305,339546,-1,-1,911711,140559,8695,821147,143602,-1,-1,632286,231716,330105,-1,103110,550532,-1,371893,-1,-1,-1,719700,-1,704801,919828,879912,-1,-1,182115,451944,-1,-1,-1,588106,-1,636811,-1,190979,139391,737550,-1,841062,-1,985766,754066,531839,-1,759214,-1,470689,-1,145568,684845,-1,360401,895143,189413,-1,-1,-1,18961,27054,968608,-1,73958,-1,-1,-1,967518,-1,316481,-1,-1,-1,-1,695323,-1,610873,233484,-1,134783,939718,686878,107815,-1,85124,236857,-1,-1,402833,471278,467499,411037,651700,596807,-1,310547,-1,515304,840704,-1,818352,388262,342956,-1,627165,-1,-1,217530,548017,53816,-1,449359,-1,-1,-1,-1,-1,374615,330411,739606,-1,-1,920028,198843,-1,226847,-1,-1,583103,211094,-1,-1,175213,467807,892888,-1,-1,-1,-1,-1,328028,693044,621159,654558,-1,-1,148454,-1,-1,969447,28668,179554,-1,-1,854899,685906,-1,965885,159211,613605,-1,126644,482612,306587,561940,837659,-1,629280,693031,-1,94943,-1,-1,975811,-1,77775,389281,301079,-1,546655,-1,849327,671466,526346,591325,-1,354501,-1,897308,891192,-1,-1,863807,159618,-1,455963,-1,169345,-1,546864,480449,467270,850479,-1,868033,-1,520433,997065,352042,411516,163770,-1,-1,-1,866699,639098,-1,-1,-1,564203,-1,-1,493619,-1,-1,-1,169888,-1,-1,242792,294004,804734,387156,-1,511488,-1,198309,-1,-1,949277,464204,270977,-1,287806,-1,138478,492297,-1,782416,875638,139682,-1,404644,513539,620882,-1,910423,-1,-1,87337,757896,-1,-1,497955,-1,-1,-1,233727,262032,-1,901823,510297,68703,655835,-1,899384,765629,-1,-1,-1,766863,131113,-1,-1,540227,-1,781637,486375,741259,347408,-1,460412,-1,-1,420177,-1,69730,-1,892639,792249,307871,119431,-1,245032,871252,-1,-1,-1,-1,-1,-1,501074,-1,187981,316509,822213,291205,-1,198463,858397,650819,-1,-1,99018,713715,-1,-1,-1,552827,751111,-1,908448,-1,466327,-1,-1,-1,835323,-1,268509,95334,689908,-1,56593,-1,-1,68329,-1,111212,-1,-1,-1,-1,70522,25751,850190,368469,960029,273451,924596,381212,285623,721201,-1,26347,639172,961455,153457,223427,44023,784930,-1,380170,122124,836819,-1,484646,718377,-1,88760,-1,18487,-1,272628,-1,358021,-1,898899,-1,-1,756008,243045,950292,303823,113142,-1,-1,513899,854096,433959,-1,-1,-1,347425,850823,683523,221623,-1,680557,37074,-1,-1,-1,-1,243488,665169,631280,840930,-1,933156,-1,990815,-1,-1,255557,-1,-1,150729,-1,-1,-1,140385,-1,522522,-1,507479,-1,-1,-1,352223,-1,100754,-1,-1,-1,-1,-1,289065,542647,530920,-1,285767,-1,-1,-1,298287,770415,884239,556341,691332,-1,371663,-1,-1,-1,-1,535965,631813,-1,421793,29462,389423,64345,-1,744136,824695,12355,-1,581714,-1,545051,-1,-1,388631,408379,16292,91067,294739,-1,326332,-1,507426,-1,-1,-1,772673,-1,-1,226776,187285,-1,-1,890097,-1,-1,-1,245510,538228,506078,309967,-1,-1,683762,-1,-1,-1,50376,-1,-1,907532,-1,277295,-1,167515,-1,-1,-1,-1,-1,-1,615948,-1,983026,690157,-1,937962,-1,-1,-1,816112,-1,742884,-1,-1,-1,-1,-1,-1,195786,-1,444764,290391,495497,696396,749575,789671,625108,507679,399239,322624,-1,529528,251158,-1,146267,-1,190357,435795,547350,-1,954233,911597,482165,347249,-1,424197,592052,-1,-1,730050,795822,-1,69732,-1,-1,-1,-1,-1,834220,-1,611116,942519,-1,243022,-1,-1,154057,-1,-1,-1,-1,948829,-1,-1,-1,-1,-1,87121,-1,-1,386937,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,714270,-1,51555,420879,761678,395002,855444,682038,965501,57211,-1,-1,219523,551845,542546,-1,-1,296078,-1,-1,-1,-1,837694,564165,540170,730523,143928,-1,14295,628099,601813,-1,383329,-1,-1,362200,-1,-1,683082,-1,-1,975444,-1,224004,709149,56114,-1,532420,-1,-1,-1,-1,236565,-1,725816,-1,-1,3639,-1,673283,-1,-1,144630,-1,345019,65198,95088,-1,-1,-1,188873,416761,-1,470634,-1,-1,-1,-1,-1,935848,-1,-1,-1,-1,-1,-1,700061,231743,-1,-1,147589,824672,-1,-1,106763,-1,991149,-1,-1,-1,-1,807238,-1,-1,318901,761983,375236,109490,244244,830287,-1,913429,-1,914985,-1,-1,-1,82628,699085,-1,-1,262973,99330,-1,-1,838151,882422,397718,152816,-1,610078,-1,-1,906726,499832,-1,-1,-1,718139,-1,451274,325505,856640,-1,407533,-1,9449,294713,471007,-1,-1,-1,514940,885937,802445,-1,664246,-1,885936,114804,-1,254053,-1,-1,-1,-1,-1,-1,858756,-1,-1,-1,163819,672783,-1,-1,-1,-1,-1,6136,361652,-1,-1,-1,433149,-1,493026,271831,-1,-1,161757,-1,-1,244841,-1,831653,909590,-1,-1,560927,-1,125003,737248,588330,238230,-1,-1,706583,-1,-1,-1,220840,382758,328965,-1,-1,-1,861521,-1,227927,-1,187244,472058,597673,-1,521485,-1,691331,-1,-1,-1,227356,507307,-1,460509,-1,-1,8037,407071,891338,394584,-1,267961,-1,728108,793531,-1,-1,874715,185902,-1,542362,-1,527017,694371,390127,593510,858856,942642,-1,-1,-1,-1,659872,-1,990294,564597,-1,-1,-1,-1,436475,680415,984451,157784,-1,204071,730656,-1,581409,-1,-1,778722,-1,-1,825583,-1,-1,-1,430995,646763,640344,-1,-1,-1,402715,-1,49842,537306,782972,-1,152760,-1,932665,871580,335283,-1,169492,289817,-1,629993,605591,572716,382047,288811,677207,304397,-1,-1,-1,301120,-1,-1,124560,-1,227875,488340,-1,238734,213022,-1,770741,-1,-1,-1,-1,-1,-1,-1,283846,-1,-1,452185,192329,944394,456679,908560,88706,-1,-1,-1,697294,-1,608316,-1,813222,702784,-1,142408,937141,-1,439186,742541,-1,-1,907182,94605,969817,-1,-1,-1,-1,-1,908081,-1,-1,-1,-1,-1,-1,194713,-1,-1,90499,-1,-1,-1,-1,530090,948563,378581,-1,816857,942140,595883,840461,-1,-1,685929,597007,799079,-1,-1,-1,395086,7784,-1,-1,-1,184485,-1,668474,-1,-1,-1,419090,-1,424702,-1,889785,797131,-1,-1,-1,627457,196755,671317,434932,-1,-1,721961,-1,-1,326082,-1,-1,-1,377263,358747,935137,532189,-1,645860,-1,-1,276915,480672,481050,474431,904138,511982,273933,724841,785770,-1,-1,617765,-1,494697,-1,149618,-1,-1,-1,-1,738767,107478,978707,765093,-1,-1,-1,334487,13513,-1,-1,213037,-1,287571,-1,-1,44016,-1,888095,792139,-1,999914,-1,653194,-1,-1,11947,273617,441678,-1,792967,69688,-1,-1,-1,-1,-1,649995,-1,-1,415387,370618,492989,-1,331617,-1,-1,519100,-1,-1,-1,189236,139845,-1,206629,646597,-1,-1,-1,-1,-1,992082,722690,54564,25523,-1,-1,647137,-1,-1,352322,67974,577533,691441,304115,-1,-1,-1,104142,176905,60483,125360,630828,79661,-1,-1,521951,-1,620704,256618,-1,-1,-1,368094,-1,-1,-1,-1,24750,974209,-1,958113,544163,666498,926226,-1,625507,-1,-1,403085,334690,-1,215457,374582,421834,114255,982696,472439,870743,-1,302523,953530,474322,533877,-1,654043,251316,-1,514310,349405,-1,391067,-1,-1,340697,958131,818006,-1,775139,-1,461822,197644,-1,-1,-1,91587,239343,319923,-1,816950,-1,219110,802774,377175,-1,551745,245493,883038,939628,502249,-1,86507,-1,678336,-1,-1,-1,-1,153742,12248,-1,594372,831727,-1,-1,202107,282135,587106,-1,198692,206838,215842,530274,-1,40289,-1,625201,-1,832711,581847,109242,941665,-1,-1,30647,796238,-1,-1,372002,468915,-1,-1,-1,-1,-1,830587,-1,948760,-1,-1,789773,11370,18108,318622,965293,-1,-1,641454,-1,375442,-1,290454,-1,722106,-1,-1,162716,832839,-1,761570,-1,188405,45943,-1,-1,28421,-1,286361,-1,495444,-1,703420,-1,38993,61020,750958,32915,-1,-1,-1,539256,-1,-1,349282,828771,-1,943155,-1,282184,577095,-1,-1,792737,-1,-1,881250,882867,-1,-1,-1,999916,-1,504233,-1,-1,815459,943404,-1,-1,-1,-1,376939,552799,199490,144114,629374,667587,148033,637728,269362,826295,-1,482656,-1,534257,16011,-1,-1,-1,420644,280329,756107,229076,91266,-1,-1,-1,421465,-1,449222,570676,-1,-1,869757,431607,-1,246894,-1,294213,-1,725075,832027,-1,-1,-1,976992,-1,-1,204271,-1,-1,834562,-1,-1,-1,958783,620391,-1,-1,532551,593059,-1,534890,-1,-1,643389,819477,40111,-1,709262,93675,-1,-1,-1,631201,352584,507353,808103,-1,-1,134503,-1,252190,-1,364434,868406,785175,244685,-1,-1,93648,97786,984551,-1,-1,-1,-1,901834,849040,160653,645314,-1,-1,-1,-1,69162,601293,624509,-1,-1,202410,841370,-1,946992,126712,135997,-1,898806,702956,288431,-1,388786,678528,-1,-1,180818,-1,746873,-1,107523,-1,673204,-1,157016,590090,-1,111681,100428,910157,864558,253002,912343,629532,-1,-1,-1,-1,-1,-1,40323,-1,-1,430257,-1,311517,-1,-1,61647,407899,-1,759170,-1,-1,-1,307170,-1,-1,498328,818031,753827,-1,-1,-1,760578,-1,-1,-1,347161,-1,777720,-1,795565,715755,90408,-1,-1,989740,-1,974008,182743,256320,141624,963893,-1,-1,-1,37399,597738,989588,-1,589854,-1,547022,-1,713108,600113,-1,-1,911387,-1,836235,262780,-1,-1,-1,889262,23071,250857,833599,606671,244703,111357,535996,667781,-1,-1,713529,-1,9929,-1,-1,731582,308156,-1,986917,-1,828905,797332,-1,-1,-1,72024,901214,924299,260976,582659,259344,727081,-1,-1,523276,714380,961706,-1,-1,709882,313966,-1,-1,817627,-1,624226,428350,-1,-1,114270,-1,-1,-1,-1,346304,-1,-1,-1,-1,300890,201860,991933,124296,197989,-1,-1,-1,-1,-1,-1,-1,-1,-1,263302,-1,-1,-1,787967,-1,-1,-1,720212,-1,-1,-1,745255,-1,477118,-1,-1,875722,-1,-1,-1,677219,-1,-1,456549,-1,-1,294568,238893,-1,449261,-1,359723,933280,-1,98864,636291,-1,-1,-1,684493,-1,624149,506625,-1,733341,723842,-1,-1,-1,609356,-1,965697,-1,786070,-1,-1,278991,-1,-1,985998,-1,297216,959423,-1,798425,-1,-1,460723,-1,660324,-1,14754,-1,-1,341357,-1,-1,-1,-1,-1,704546,-1,-1,-1,-1,615186,396805,-1,-1,-1,-1,148653,-1,869150,-1,115363,-1,-1,-1,704029,126573,430215,-1,-1,-1,-1,-1,-1,-1,765833,-1,-1,711867,262689,480385,303214,-1,872329,-1,-1,608484,-1,-1,298971,885816,412479,-1,398348,513970,245284,-1,574104,345937,-1,-1,908298,-1,-1,-1,-1,83771,54420,-1,-1,302835,933612,-1,-1,-1,-1,-1,838718,858310,298895,304792,326197,257383,496126,77452,119188,878093,214480,554624,-1,-1,-1,-1,-1,275626,-1,157912,465015,-1,551619,-1,-1,247808,578980,-1,-1,-1,-1,390202,-1,-1,676440,-1,-1,452819,-1,317673,-1,557838,687464,178612,28084,-1,-1,-1,791051,-1,-1,-1,-1,-1,165183,938506,-1,-1,-1,-1,-1,-1,-1,129537,979954,-1,794901,995094,-1,658499,-1,-1,936992,-1,-1,-1,280498,-1,158581,49458,-1,890308,306306,349618,-1,-1,-1,601869,22280,-1,-1,-1,680837,-1,-1,958457,772168,-1,-1,108950,-1,53551,351003,863973,162522,-1,631960,261631,322605,501283,-1,-1,-1,-1,172370,497208,-1,525477,-1,416130,-1,-1,534635,-1,465161,569911,-1,-1,696009,289575,-1,142698,-1,-1,781977,607476,435705,160592,422420,-1,-1,766475,-1,-1,561163,282008,102952,493241,-1,-1,-1,-1,-1,659540,-1,-1,238944,121980,-1,56202,-1,394769,513101,311174,331564,910660,-1,329300,73107,-1,537477,-1,130274,883935,409126,543363,-1,870179,-1,-1,362456,-1,231848,965919,680550,699606,527244,-1,-1,-1,415728,243651,134944,394590,423462,-1,-1,-1,-1,424294,-1,832524,587086,-1,580531,100530,945914,68737,304383,581884,-1,670758,927146,415608,186757,276098,966930,272336,-1,-1,177090,-1,-1,54538,-1,-1,212220,363154,179931,-1,381556,-1,753291,198616,-1,-1,-1,-1,-1,-1,828459,-1,-1,-1,-1,372140,113481,-1,-1,194647,463387,981583,-1,125728,992357,-1,322415,-1,-1,420118,764199,300674,-1,-1,381209,-1,-1,-1,852612,653684,-1,-1,-1,-1,703958,666518,542873,805008,574324,-1,-1,30596,712855,-1,575001,-1,165204,525582,6669,33647,-1,-1,603201,607803,-1,162949,760955,732531,459593,-1,-1,68914,622413,-1,412074,-1,-1,615439,950227,515051,-1,80721,-1,-1,-1,337832,-1,886000,-1,793110,-1,-1,-1,-1,-1,840693,348004,-1,301277,19440,-1,894881,-1,381029,-1,-1,-1,645451,-1,-1,645485,-1,-1,-1,749269,-1,386814,194341,-1,871003,-1,-1,126706,-1,85872,-1,-1,769634,-1,-1,-1,-1,-1,-1,-1,894480,-1,10906,888686,782,878862,-1,850643,-1,740045,-1,60181,-1,629648,-1,12874,886021,-1,-1,-1,-1,909078,-1,76187,431904,312249,388087,-1,177182,497714,641411,46750,168463,-1,94197,560617,-1,997174,478569,395028,636398,-1,927197,-1,-1,-1,-1,-1,34470,-1,641740,577830,335642,602022,628819,-1,-1,395242,-1,-1,461302,122839,185780,437023,-1,871202,286210,-1,-1,-1,-1,579843,27034,-1,945866,150068,788900,-1,836118,-1,-1,361994,-1,769283,386190,-1,738900,517253,-1,-1,-1,-1,323685,-1,927148,-1,-1,-1,-1,690285,482277,-1,539233,-1,642282,882984,-1,-1,-1,-1,-1,923718,-1,-1,850889,-1,531428,158256,-1,402489,328747,-1,-1,117351,-1,881242,241954,-1,674873,919939,-1,641029,232696,302770,-1,-1,-1,-1,697633,-1,-1,-1,459924,-1,-1,99272,469145,583420,-1,343593,7293,383274,-1,773954,-1,-1,770999,-1,111863,-1,-1,-1,-1,605278,-1,-1,-1,-1,341230,745253,497408,-1,-1,485886,537290,185632,-1,979949,341912,-1,778895,-1,-1,-1,-1,383799,544405,-1,-1,301197,-1,-1,600117,-1,273666,226234,-1,460803,424054,-1,-1,-1,530293,467182,-1,-1,-1,998205,793532,261263,-1,-1,-1,670106,-1,254262,-1,619484,698164,567929,-1,-1,752719,494400,542943,532813,658246,464028,-1,-1,125790,-1,974638,-1,-1,611895,498130,-1,681678,-1,836335,576269,-1,-1,-1,-1,952180,734779,-1,-1,-1,584201,615690,-1,345522,594093,483298,608185,524072,-1,-1,832815,-1,-1,-1,118232,-1,-1,-1,525478,842526,382332,828401,-1,-1,294726,-1,-1,216085,752782,586852,-1,164064,-1,811415,743658,-1,629998,-1,371974,-1,529315,81832,175756,-1,934303,-1,896265,553014,954761,836032,634511,-1,-1,-1,102857,-1,611198,816002,150146,171268,569647,530,-1,650890,182196,-1,-1,637330,-1,770507,603581,-1,-1,-1,-1,579362,973224,418635,725051,963273,746227,-1,988510,300944,-1,-1,320915,482101,893491,140664,-1,-1,796593,-1,236859,-1,872357,-1,948803,-1,-1,313939,-1,-1,239687,-1,890009,-1,-1,865810,-1,-1,924160,876904,931066,-1,86778,880249,-1,460048,-1,309232,947569,-1,-1,134148,-1,-1,513912,-1,183487,289466,725724,-1,-1,-1,162021,551024,-1,527861,-1,-1,782330,105315,-1,615598,265282,-1,386606,-1,32533,425827,884888,-1,-1,154945,133683,-1,433288,608698,-1,466743,-1,898395,432653,-1,141488,122386,674261,-1,-1,-1,80320,999931,46638,-1,436645,-1,495332,-1,-1,-1,-1,-1,-1,-1,-1,-1,824760,576230,-1,-1,320509,45330,-1,-1,-1,-1,-1,-1,-1,415303,368055,637075,-1,-1,914746,-1,87827,-1,311338,788225,421733,-1,-1,-1,-1,783240,851641,598581,-1,883043,557760,-1,152825,672989,-1,-1,59281,-1,631205,658002,202768,560224,-1,-1,-1,-1,230627,890225,666691,359601,957072,112468,635327,-1,-1,372994,-1,-1,456157,930782,-1,312651,-1,844159,744286,-1,955451,-1,-1,-1,-1,-1,114925,928009,-1,807649,-1,736308,-1,-1,23979,-1,725227,-1,527264,-1,15510,654487,335775,-1,627861,455201,630225,760518,-1,1977,382444,879687,-1,805003,-1,-1,426136,-1,-1,-1,895429,800112,756518,-1,393055,975845,777914,-1,359727,614840,295744,-1,-1,-1,151431,-1,724738,-1,-1,826540,909146,-1,497951,-1,-1,-1,647774,-1,585196,109123,-1,380221,994697,110206,-1,14473,-1,-1,760367,714530,856621,-1,-1,-1,585168,-1,-1,-1,97095,574091,374537,60496,-1,-1,227718,-1,-1,-1,435338,307778,-1,530077,727935,-1,-1,993116,390482,791809,433878,381019,-1,512025,-1,628431,-1,-1,-1,-1,279574,-1,-1,976907,-1,-1,-1,-1,878444,-1,-1,-1,433082,375242,554822,-1,-1,30013,-1,-1,-1,-1,293683,-1,-1,-1,549484,197845,953415,565318,-1,676588,280934,312387,169137,45842,-1,-1,91056,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,821100,-1,745465,154004,-1,-1,919825,52449,-1,886583,-1,-1,292246,-1,-1,-1,-1,807963,-1,-1,-1,-1,272915,493918,-1,-1,347760,-1,-1,556997,-1,494865,-1,931863,778883,185306,-1,-1,896641,-1,558659,-1,399564,-1,855764,-1,-1,-1,-1,-1,-1,-1,36502,-1,-1,-1,-1,-1,-1,-1,193489,432915,-1,-1,-1,118713,493312,-1,-1,-1,-1,-1,899040,-1,831609,8478,402732,299630,258164,-1,12828,409120,-1,-1,-1,-1,-1,817069,-1,-1,967667,878665,-1,617945,-1,-1,-1,-1,-1,276501,483692,-1,14257,-1,532088,-1,936836,-1,731450,-1,14306,-1,-1,729638,-1,336676,135680,-1,490434,-1,241198,457551,767695,-1,-1,-1,184602,396914,72987,-1,248378,-1,79300,428177,-1,297913,52841,-1,841335,846893,173021,-1,-1,-1,558133,-1,377740,-1,-1,145768,441607,-1,549192,-1,283824,-1,-1,485470,-1,-1,117746,-1,37180,-1,-1,718845,-1,-1,103652,557093,781215,814988,-1,751569,-1,-1,240257,-1,73586,-1,-1,-1,806721,-1,-1,232704,306424,280230,126872,-1,394592,584366,-1,655917,-1,33142,778993,-1,316696,858692,-1,161767,273252,-1,709907,-1,897491,-1,-1,-1,-1,-1,984332,-1,-1,904536,-1,600588,-1,889748,81477,-1,742558,-1,356816,902550,915573,96279,-1,-1,-1,-1,-1,-1,-1,268158,290969,292394,-1,-1,101516,-1,-1,798202,954658,-1,480514,53186,757014,951888,-1,207484,-1,931443,705509,-1,-1,696169,653705,-1,-1,48194,681665,-1,-1,-1,-1,-1,84980,705202,-1,-1,527944,-1,341459,-1,147596,181729,888979,-1,717889,518036,-1,-1,63956,212106,596995,-1,-1,518464,-1,840741,-1,-1,-1,132881,39610,-1,19854,883333,-1,-1,-1,483952,-1,-1,-1,438889,-1,278867,-1,645803,-1,467732,612378,161937,-1,302405,375075,-1,-1,176093,221041,556304,531143,313559,-1,120121,-1,-1,789978,321474,276593,747089,-1,473556,696429,520482,-1,-1,209745,18495,806672,775624,-1,-1,143677,-1,-1,-1,-1,-1,-1,651881,618130,-1,404370,366881,-1,233995,961461,503767,170062,-1,-1,568007,875616,214413,869931,247424,-1,-1,141121,-1,237796,-1,327102,-1,834269,194698,-1,635193,509294,-1,-1,-1,642412,-1,-1,740134,558994,-1,-1,-1,-1,970476,-1,-1,-1,-1,-1,520717,220457,-1,147410,-1,-1,910362,291717,-1,-1,-1,-1,-1,-1,-1,-1,583095,814138,-1,484766,329837,786089,-1,247825,-1,-1,-1,-1,-1,658808,-1,-1,-1,432799,32859,-1,149407,974947,-1,-1,-1,130400,-1,-1,719236,-1,674848,-1,746297,-1,-1,-1,-1,863169,-1,-1,-1,-1,417543,679418,748564,-1,493423,475513,404527,-1,-1,-1,535101,-1,195964,-1,790517,-1,483278,556866,705486,-1,-1,135780,332970,607177,-1,-1,731965,22768,-1,-1,149745,592233,365723,-1,-1,-1,848523,-1,-1,807171,102713,895925,71495,-1,530585,-1,138388,-1,-1,909258,-1,-1,808420,986238,195507,-1,-1,-1,-1,-1,-1,944718,-1,966487,-1,-1,229495,332840,-1,-1,218135,624928,-1,-1,630587,375189,-1,-1,-1,422484,572355,-1,-1,-1,666459,-1,151893,129993,-1,882592,-1,37233,393846,-1,497856,-1,-1,821580,962456,-1,-1,424259,-1,659161,81525,29110,-1,-1,-1,54644,596322,77614,-1,-1,-1,636450,35162,236342,413400,643089,334413,-1,925225,109398,610956,720254,299354,-1,-1,803222,461843,-1,-1,993722,306103,510554,639203,608810,78274,-1,-1,209101,205102,422659,238486,57658,-1,-1,-1,532297,-1,73353,-1,-1,-1,724051,587916,-1,-1,-1,821944,470855,-1,-1,338617,141888,-1,73437,-1,434705,566704,-1,-1,912925,-1,237089,-1,97241,-1,362842,767299,406160,700459,-1,89110,-1,567315,882864,143378,521730,-1,325809,-1,241569,658710,-1,-1,-1,-1,-1,-1,288850,800669,987189,930944,-1,-1,-1,656859,878874,566440,942043,-1,-1,-1,-1,-1,-1,-1,-1,152992,-1,163587,612650,-1,356014,-1,932368,832093,811255,864534,-1,-1,905938,-1,308461,-1,-1,627499,-1,945519,-1,610500,5991,677464,-1,594862,-1,630448,809305,-1,-1,55381,-1,-1,-1,-1,638004,-1,-1,146164,278675,999932,619819,-1,-1,514535,886865,-1,-1,-1,100774,579696,170747,953624,282182,-1,627437,-1,983324,737916,366084,437982,537142,-1,-1,-1,874958,496767,-1,-1,-1,-1,-1,-1,389836,-1,-1,761294,-1,114484,-1,-1,576372,-1,-1,773494,125473,-1,677708,761079,686207,40958,-1,-1,384271,-1,578476,-1,-1,963019,390535,443631,307224,-1,491858,-1,537690,959981,-1,-1,-1,-1,-1,600826,-1,988072,-1,-1,-1,127839,-1,-1,547937,477537,141075,-1,862061,233151,-1,-1,91828,950041,-1,-1,456052,-1,-1,43125,273142,-1,77825,846925,692533,-1,-1,622939,764599,-1,515599,908119,962844,-1,-1,283941,873599,877886,-1,816523,-1,-1,-1,-1,406765,-1,-1,-1,374758,-1,120946,-1,778922,-1,-1,-1,622551,836405,927859,-1,-1,-1,502506,-1,-1,613783,298031,577442,-1,461474,251206,138149,694822,-1,275621,-1,601605,-1,-1,170399,283686,79309,304781,-1,654859,425210,91234,137658,548636,-1,129897,-1,178219,101062,526141,-1,738087,-1,-1,-1,-1,-1,-1,-1,-1,-1,882783,-1,-1,237456,-1,-1,880389,-1,-1,165147,891520,-1,-1,-1,895602,961969,18141,833648,788882,858787,-1,711766,-1,240190,168315,-1,-1,91449,-1,562833,-1,164858,892340,-1,706220,-1,482539,-1,-1,-1,-1,-1,980483,336635,-1,-1,-1,819080,-1,85697,605551,494118,160046,977374,-1,-1,587950,281634,578569,-1,635640,900771,983823,-1,531749,731046,-1,-1,3888,-1,11520,-1,-1,863641,-1,51125,481113,566424,-1,703651,85801,166417,-1,-1,-1,-1,104974,-1,3298,-1,-1,-1,-1,129927,983603,763332,309278,651547,161770,-1,-1,854094,73461,-1,-1,480236,996642,844431,105012,56211,-1,-1,-1,-1,-1,341831,520701,-1,325626,532368,816809,833165,430768,30842,-1,485227,545431,-1,-1,151935,164815,285282,209468,577366,783923,293479,-1,375356,-1,-1,726757,259586,-1,-1,118376,919219,-1,-1,-1,263529,264910,-1,-1,-1,328478,-1,846113,-1,-1,468906,128852,379547,868108,816386,-1,93521,-1,380684,-1,-1,-1,634470,317293,-1,454201,-1,125288,-1,451924,953642,979300,195350,-1,-1,807099,634340,577656,417375,-1,647822,-1,-1,-1,-1,-1,-1,-1,-1,-1,205841,244786,-1,-1,319299,856888,447347,-1,795885,156820,844048,108724,351054,-1,377024,-1,-1,617166,458667,56648,462018,-1,-1,375719,612154,296549,-1,709577,991252,-1,720069,-1,-1,49391,-1,930896,-1,-1,-1,-1,744620,950157,759253,273644,-1,-1,839684,-1,-1,-1,-1,-1,-1,-1,83000,108994,-1,787153,-1,-1,524541,497335,299020,-1,222467,-1,-1,-1,-1,984019,473963,-1,-1,-1,823626,615394,670530,461745,402940,-1,-1,955608,739866,-1,-1,397499,200222,-1,-1,-1,447394,-1,-1,-1,833887,752156,115884,472448,-1,-1,-1,-1,-1,955329,-1,581655,138129,-1,-1,31469,-1,670590,-1,522126,824768,954466,507592,624620,615792,-1,439002,-1,-1,211838,250865,-1,-1,-1,270506,93815,500427,854055,324977,-1,-1,-1,-1,-1,39605,-1,233604,-1,611761,-1,232452,855661,175436,793279,-1,-1,-1,-1,-1,-1,534660,728679,898934,-1,391340,-1,-1,-1,450823,503470,86948,-1,620406,576720,-1,-1,-1,-1,-1,261712,610419,-1,272699,-1,-1,970849,806531,13274,-1,-1,333795,-1,-1,-1,191635,533558,76592,641690,-1,727443,839253,747262,1092,-1,-1,-1,-1,-1,816018,598193,374866,-1,625900,751247,-1,736859,-1,566391,79774,-1,933179,786810,-1,770957,-1,-1,681920,-1,-1,-1,237616,293141,-1,-1,600387,-1,184841,69106,21753,-1,605457,-1,-1,486898,345931,557787,756316,702624,-1,-1,-1,-1,-1,965197,496474,-1,-1,618330,-1,884233,-1,-1,-1,-1,637339,-1,181141,522421,640899,841312,298453,-1,-1,-1,-1,759985,782623,-1,-1,-1,-1,316964,340233,290412,852622,-1,864778,33693,988116,382287,-1,768738,-1,814964,-1,346245,543729,53624,203242,-1,568513,705668,195952,805688,-1,-1,-1,32784,55048,10367,-1,453685,-1,-1,-1,425959,274354,-1,238701,424482,-1,782206,87123,825115,966504,-1,-1,281074,-1,425735,-1,-1,814363,-1,532101,441771,-1,-1,571155,-1,-1,317806,-1,-1,-1,860168,407049,-1,275957,246821,-1,-1,829915,-1,72433,-1,423993,-1,-1,460095,-1,-1,769926,941822,36594,536700,454140,-1,-1,909806,573366,-1,607866,-1,-1,-1,462482,-1,-1,684138,277357,-1,333207,-1,322136,-1,112828,-1,778738,-1,636088,618309,-1,-1,914322,70285,56627,-1,351551,-1,-1,564162,-1,-1,717753,-1,495924,-1,52655,-1,-1,-1,3050,-1,390183,-1,147877,139620,890108,-1,-1,-1,275401,-1,363190,537496,-1,-1,334614,215787,-1,-1,57452,-1,-1,141013,-1,-1,407636,-1,-1,650763,217825,934833,-1,586840,-1,973144,278529,-1,-1,-1,-1,573145,295918,630245,-1,-1,-1,-1,932337,416589,-1,-1,-1,-1,127724,-1,-1,115019,872091,731888,-1,-1,370465,887095,21399,608534,2856,-1,572096,789858,592999,315210,27846,772052,-1,620269,269827,384790,345660,-1,-1,-1,922416,575347,191061,-1,-1,158266,-1,-1,-1,438228,-1,-1,829913,311803,797547,655830,-1,-1,899741,-1,381049,-1,-1,453852,309113,98178,441693,-1,275457,831382,-1,684655,684559,-1,361275,837717,-1,419328,-1,395877,612243,-1,406878,304937,50345,-1,717669,350604,279741,-1,236949,-1,641597,723067,-1,957103,-1,214965,-1,-1,180565,-1,-1,-1,737301,661317,281342,-1,-1,-1,-1,547364,340559,857152,517824,-1,522106,880954,-1,681183,896200,925664,-1,930878,791635,961122,-1,684643,-1,-1,-1,-1,996294,357831,-1,-1,-1,-1,34896,-1,938647,93840,-1,-1,182853,246972,-1,656937,-1,-1,283288,-1,-1,-1,905253,671460,988136,-1,580337,509358,384859,-1,204042,-1,-1,-1,-1,155214,-1,84908,392317,-1,-1,-1,-1,-1,-1,-1,691123,330074,-1,-1,-1,544136,-1,834117,-1,284383,-1,-1,549305,984011,516067,577258,-1,234457,721257,-1,141809,400669,524916,966519,94435,-1,-1,-1,-1,-1,-1,-1,-1,-1,880744,-1,-1,176462,-1,-1,936900,480346,652683,-1,362607,98766,212792,-1,-1,437425,-1,332196,-1,-1,-1,-1,674269,-1,-1,821079,-1,249295,307764,29860,605536,207634,-1,30805,599980,106066,79441,762155,-1,-1,-1,-1,-1,380528,462338,-1,-1,410363,284232,-1,285320,65061,405169,-1,-1,474278,780222,53734,-1,389589,-1,407139,405876,63684,-1,-1,279627,-1,789373,-1,892132,436866,290787,622090,452485,389379,-1,-1,661786,-1,-1,243694,566120,724501,646311,357610,-1,11668,-1,-1,-1,510174,238577,-1,530152,-1,692405,-1,365504,178288,-1,-1,791476,-1,-1,-1,531265,345759,-1,963912,341563,909478,320916,-1,561323,212478,756884,-1,-1,141015,-1,877150,-1,637901,-1,12477,686372,-1,131831,767343,153091,525542,725655,815578,860309,386680,-1,376266,668008,493371,140133,-1,-1,141940,598100,564741,267567,787272,399009,-1,-1,-1,-1,-1,542488,-1,-1,-1,-1,-1,-1,-1,850670,-1,-1,353989,382787,954623,-1,882666,-1,-1,-1,-1,941959,-1,161160,657728,346980,153558,512518,-1,-1,525376,424101,962549,-1,116831,314612,237489,-1,134715,197045,821331,-1,-1,24839,570321,-1,580014,98380,-1,-1,162133,225762,-1,458586,759657,278919,-1,859930,-1,541027,-1,-1,-1,-1,385327,676687,953804,694937,-1,13823,374366,-1,839297,638796,-1,-1,-1,-1,537607,37192,-1,250772,854087,-1,-1,-1,-1,-1,176354,-1,11835,255503,-1,113547,-1,-1,289630,-1,240409,168040,-1,-1,433751,-1,-1,-1,173998,95517,181274,130002,-1,-1,-1,-1,-1,356106,-1,181625,-1,138127,126045,888219,-1,861246,430118,-1,831661,576233,-1,729354,-1,117850,374904,4510,97564,-1,-1,-1,856796,837146,86673,663045,-1,-1,896028,-1,-1,869666,630019,-1,442788,141613,-1,-1,277593,762374,-1,311198,156844,-1,-1,918620,327725,-1,467531,-1,-1,-1,598257,-1,563838,882288,-1,286833,-1,254265,-1,887683,627327,921267,169118,226865,-1,-1,-1,-1,133907,83163,-1,-1,342592,-1,769614,-1,-1,-1,975039,988313,-1,-1,-1,626512,-1,242447,133021,-1,-1,423435,-1,890177,529290,411704,48197,-1,-1,-1,738306,-1,-1,-1,-1,-1,-1,572183,595518,39122,200172,340639,69596,833721,-1,-1,248756,231031,133849,-1,-1,5679,-1,-1,-1,667716,638539,-1,416186,903333,-1,843131,642843,849554,187803,888630,-1,360051,-1,-1,-1,236746,-1,933119,-1,351106,52131,748574,-1,517482,576267,-1,55823,-1,980506,-1,179513,458890,-1,-1,894725,921559,-1,-1,-1,-1,-1,-1,-1,791604,-1,-1,-1,-1,-1,312912,507571,-1,-1,-1,548519,614475,298401,-1,-1,-1,-1,779894,127955,-1,-1,-1,288627,229305,109742,61060,67718,-1,918195,49583,256504,-1,-1,420894,-1,-1,979797,-1,515687,667701,555579,911841,254029,3249,664253,628287,217007,300809,846441,608550,24028,-1,67314,247826,-1,-1,-1,-1,-1,669687,-1,851505,-1,-1,-1,-1,-1,400921,824430,349210,479581,814266,-1,510137,-1,-1,559980,716536,-1,-1,486922,516606,345301,822189,714707,-1,-1,-1,-1,-1,918245,-1,704336,-1,-1,-1,-1,677060,628726,-1,-1,39320,-1,-1,-1,-1,-1,-1,-1,-1,-1,745265,-1,57954,756805,-1,-1,880904,660252,576853,960681,-1,399284,15352,209150,-1,23797,-1,789332,329292,11822,574123,-1,266083,-1,-1,-1,317996,329476,327020,-1,-1,-1,-1,192646,-1,226650,-1,-1,271150,-1,-1,-1,193371,610801,-1,196065,-1,210095,179749,88368,738743,756660,-1,599246,-1,928297,-1,1592,-1,170332,-1,680434,588688,-1,-1,-1,631920,-1,686452,548644,-1,-1,-1,508875,316360,-1,65856,-1,-1,533304,316367,449179,-1,-1,397917,-1,19096,-1,-1,531335,30775,88995,478063,505802,-1,-1,-1,592800,380381,-1,334607,473374,-1,34785,-1,362304,633594,-1,661434,116545,696898,-1,-1,-1,-1,-1,243324,-1,-1,220965,21489,-1,213408,303211,-1,364624,-1,-1,272601,-1,-1,-1,757058,-1,167564,-1,-1,750119,-1,166476,142060,995504,571441,65023,-1,-1,214202,-1,511189,-1,74843,584400,-1,-1,-1,207217,371220,971843,-1,611556,26308,-1,-1,876226,551687,606193,992569,-1,594994,-1,924765,-1,543974,598480,-1,-1,-1,320861,311031,-1,945563,-1,684094,-1,425732,-1,111924,-1,-1,-1,-1,239081,-1,-1,417225,254727,-1,-1,-1,-1,571262,246004,-1,504523,-1,932342,-1,369437,-1,893018,-1,287788,58729,-1,-1,-1,993752,-1,530969,-1,-1,-1,-1,-1,-1,54971,598637,-1,-1,315336,-1,82399,26595,44094,866399,914437,196194,-1,-1,494153,-1,625969,925290,-1,-1,323554,745339,806346,-1,-1,-1,562682,-1,272651,637545,-1,779045,-1,619592,-1,-1,249867,-1,-1,-1,-1,-1,-1,-1,-1,-1,523238,-1,-1,330015,738173,283420,-1,82617,-1,-1,409137,658993,86580,570274,401111,-1,-1,666687,244992,718506,639622,25086,765546,532834,-1,-1,-1,-1,-1,434798,-1,-1,-1,-1,-1,363991,394628,-1,606669,-1,803441,-1,-1,-1,855213,967110,-1,618729,269189,584497,-1,-1,-1,-1,550327,-1,500908,-1,-1,664956,-1,-1,-1,756310,-1,396509,786057,-1,341816,-1,603094,-1,-1,401404,791580,518287,-1,42098,426726,327631,-1,-1,-1,439523,144999,-1,-1,586083,-1,-1,-1,41729,-1,44661,957251,955084,-1,462470,-1,318169,-1,-1,-1,399644,-1,14696,-1,222519,-1,-1,464883,77005,-1,-1,-1,-1,-1,769480,-1,-1,154757,610702,-1,-1,58699,364180,942928,-1,-1,-1,788091,302889,613061,-1,493522,516322,-1,905931,674583,778067,-1,628569,-1,-1,-1,-1,562843,276582,-1,-1,-1,336274,-1,894407,400800,-1,-1,545739,-1,-1,738647,850300,-1,-1,259574,803756,-1,-1,-1,954261,221094,-1,306434,23569,-1,529432,723478,-1,737453,-1,-1,44175,80996,646767,554564,892212,-1,507692,-1,-1,798356,286408,-1,735346,-1,945440,956325,-1,-1,251402,46718,681654,259848,40783,-1,290860,-1,829719,-1,-1,-1,-1,779639,380630,-1,-1,-1,487241,179898,-1,-1,-1,340321,-1,-1,686326,-1,538671,672202,-1,-1,-1,655078,735444,595514,-1,979494,-1,-1,517270,-1,-1,-1,913889,186005,-1,791495,-1,-1,125128,-1,482565,783113,-1,984021,-1,206323,304642,-1,-1,-1,248781,261318,-1,517105,-1,-1,14893,327172,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,794390,43088,-1,-1,144156,595594,385875,-1,586705,84968,398009,-1,-1,745436,-1,-1,579353,70941,-1,-1,631329,-1,898987,768815,387593,-1,985333,411578,593423,-1,-1,954373,769245,-1,31205,376730,-1,-1,-1,548599,-1,455074,-1,597483,610550,936375,-1,999700,278932,909437,952970,827134,218301,884393,-1,517989,372712,-1,703779,415483,-1,20511,27597,557463,863128,88708,-1,703537,-1,636420,753439,-1,-1,632845,28253,184941,534121,957962,-1,309176,-1,-1,271380,574462,599236,-1,770550,-1,-1,-1,-1,-1,-1,-1,139206,857873,-1,-1,-1,665179,638592,-1,-1,-1,638781,571115,-1,31497,922464,-1,-1,740654,-1,314549,-1,-1,877893,-1,159301,-1,-1,490629,5651,-1,983431,-1,935352,-1,-1,858499,-1,-1,73566,12935,661765,517473,-1,116407,-1,432290,-1,-1,828683,-1,-1,-1,-1,984542,533500,-1,873631,292789,66268,-1,65028,-1,-1,257840,-1,-1,-1,-1,31914,423787,655342,-1,301084,-1,265207,160414,716172,352736,-1,186554,-1,-1,806744,-1,211091,-1,-1,18406,106299,-1,-1,-1,-1,-1,58459,-1,697048,-1,274262,-1,-1,-1,208716,712411,-1,-1,37411,297197,920431,-1,-1,-1,-1,657944,746693,-1,851689,-1,-1,455468,458437,-1,-1,533626,-1,-1,-1,-1,-1,-1,592363,-1,264882,-1,672690,407759,-1,-1,-1,65941,-1,212162,-1,778534,-1,921419,288797,939578,-1,436256,579507,955743,-1,425118,607180,679452,-1,999651,-1,-1,74027,-1,226333,-1,-1,-1,-1,-1,-1,864271,-1,-1,160904,-1,519287,-1,297631,-1,-1,162611,-1,405551,-1,-1,-1,-1,556973,-1,759098,-1,-1,109708,663114,783244,-1,9140,362044,195398,91320,47635,-1,637650,-1,795446,-1,-1,232742,829125,-1,644536,-1,-1,-1,454586,237985,-1,-1,-1,889791,-1,-1,-1,-1,825586,681027,640623,641293,673382,-1,819838,-1,795378,653057,-1,712596,-1,488821,708308,-1,478507,-1,670052,-1,-1,-1,712398,683565,689049,362600,503711,641147,451786,-1,-1,738032,860621,526379,-1,-1,-1,-1,-1,83477,629098,84570,-1,-1,130141,729213,485308,-1,-1,-1,-1,129685,708492,-1,91088,343099,-1,-1,-1,33728,131542,284833,102084,38862,194999,509744,-1,526770,801325,62031,-1,551235,-1,575523,182257,-1,44644,-1,-1,121493,761273,351206,363616,-1,103257,950702,488850,-1,807672,-1,260539,665297,-1,-1,-1,95483,-1,-1,635139,942108,-1,-1,584578,-1,540163,245918,-1,-1,-1,-1,259552,631142,917278,780546,469841,882528,-1,443248,-1,435333,-1,887967,981313,284737,146151,-1,13978,-1,-1,232377,-1,-1,741596,692085,781301,-1,-1,-1,248365,581364,-1,-1,-1,270083,-1,972690,588490,-1,-1,844293,790373,-1,862442,-1,804766,-1,847314,-1,-1,-1,-1,-1,-1,243266,221959,154775,658877,-1,209462,618693,-1,335047,-1,956730,-1,758775,-1,652373,456398,-1,864850,-1,-1,-1,33651,-1,-1,-1,261329,-1,-1,220594,-1,-1,-1,428354,634242,297981,446995,-1,-1,-1,-1,-1,716952,-1,100002,-1,-1,-1,27740,-1,986087,243832,52802,-1,-1,-1,-1,861756,-1,6595,965093,-1,-1,-1,856340,-1,69965,562201,842805,551730,897574,-1,-1,671382,-1,-1,-1,-1,654555,744696,-1,47412,471045,-1,839110,570712,-1,575664,-1,-1,609766,-1,-1,181112,434662,-1,992339,854134,-1,253298,660278,-1,-1,668367,439554,-1,444050,-1,978233,709729,90807,-1,892919,-1,713049,-1,662129,662292,84289,-1,891205,100137,-1,-1,453800,221167,-1,-1,276272,-1,127259,-1,248307,-1,-1,891850,-1,364365,-1,27679,-1,-1,98749,300739,-1,-1,92423,897028,-1,-1,-1,517684,455648,959946,920041,760856,-1,96212,134249,-1,151328,-1,-1,902799,-1,-1,35017,-1,127948,-1,308106,-1,42848,850006,-1,872266,843285,-1,-1,-1,797222,138607,961666,-1,-1,759296,-1,501358,891071,888667,-1,-1,292020,-1,762823,-1,-1,-1,560292,941744,137268,948229,-1,443061,234919,-1,-1,399436,23724,212329,-1,103444,-1,-1,508952,-1,-1,83411,999044,-1,-1,840325,-1,-1,590218,56368,455039,558824,-1,402391,210223,293580,663797,-1,-1,70969,-1,995053,-1,58360,561904,743892,-1,445603,-1,460789,-1,692909,-1,360944,503815,-1,-1,-1,118509,124973,-1,-1,-1,-1,835125,544805,-1,962079,-1,-1,-1,903246,-1,-1,-1,-1,-1,324999,-1,-1,857303,-1,559076,-1,-1,479555,-1,658739,437672,679482,-1,626864,-1,871842,967313,419367,740889,-1,-1,-1,-1,-1,804134,-1,326114,497568,354774,-1,-1,-1,394209,-1,204563,-1,-1,-1,-1,272833,-1,118448,435829,539933,922041,189587,-1,326121,495473,-1,-1,-1,-1,858189,-1,-1,554848,-1,-1,306405,-1,370214,-1,555854,816595,498907,603334,-1,874636,-1,187171,720504,903886,-1,-1,56982,717316,468093,-1,782196,-1,-1,906218,640318,395442,256330,-1,-1,-1,414744,264687,-1,719820,927518,799819,884253,882753,688362,-1,337985,862052,-1,-1,-1,181901,-1,-1,324812,-1,821138,-1,480976,-1,-1,-1,-1,146260,665015,-1,396325,-1,769142,-1,898154,350493,615797,4487,-1,-1,682240,807704,-1,930889,158049,594349,426077,-1,-1,4551,907629,717699,-1,940323,-1,880811,-1,621768,555937,73674,265554,926341,298116,-1,-1,-1,-1,33461,-1,-1,224054,-1,623780,-1,-1,681722,325632,590817,-1,-1,534342,19250,-1,-1,-1,722114,-1,-1,-1,-1,941511,212445,-1,-1,800539,279548,-1,310465,554447,-1,455783,832876,843377,635380,-1,839994,-1,-1,-1,-1,-1,-1,-1,-1,81543,221631,-1,-1,140739,328519,483995,-1,343416,-1,-1,18999,397498,-1,49123,-1,-1,-1,34935,-1,-1,9567,923903,-1,218235,-1,535067,410505,-1,-1,795016,-1,460694,-1,448521,-1,499790,706750,948678,771000,656839,-1,976703,-1,947722,-1,263528,-1,-1,-1,731241,894558,-1,-1,410254,593339,-1,870045,540393,134367,856191,-1,89814,-1,-1,-1,37823,-1,-1,-1,-1,104374,473739,-1,883902,-1,578680,-1,705682,562260,331819,-1,-1,-1,804953,720814,683816,909939,658505,-1,729726,-1,338216,-1,797523,102559,530961,-1,-1,-1,637621,-1,678781,-1,920716,372583,391225,-1,-1,73520,998371,890499,-1,625992,-1,76423,885012,-1,-1,-1,-1,-1,292491,206833,946860,-1,824682,52357,922060,85361,-1,100651,187838,-1,677885,536873,454043,-1,154583,203888,-1,938045,-1,-1,-1,-1,321728,-1,-1,847787,483939,997474,344978,552289,-1,-1,86543,903162,458709,-1,-1,-1,694369,698365,71901,-1,-1,969298,-1,-1,-1,-1,499292,19140,-1,279553,932284,-1,-1,-1,758086,-1,347922,656806,813235,-1,-1,319104,293856,-1,-1,373249,-1,456666,409744,709965,-1,-1,-1,625896,2151,-1,-1,166220,872575,289772,-1,-1,336964,279535,443261,570047,-1,639053,123010,908599,655272,649451,976764,-1,-1,42123,-1,108169,-1,579112,342644,312476,-1,-1,69031,197586,-1,917897,171513,-1,652419,-1,-1,802203,-1,344402,-1,-1,-1,-1,-1,-1,25631,488067,720771,-1,-1,-1,955965,301999,212238,690930,937369,493886,-1,200774,-1,273302,157616,-1,125357,119600,526071,-1,-1,598736,-1,21286,-1,198846,517315,387365,-1,-1,-1,699789,905451,-1,-1,-1,-1,888868,-1,-1,-1,268740,-1,-1,-1,-1,-1,300800,-1,722251,-1,837356,-1,-1,355794,-1,73269,501348,-1,-1,574009,929533,278235,-1,106165,-1,-1,-1,-1,-1,-1,-1,511329,-1,-1,-1,917064,-1,599314,111533,960058,-1,-1,-1,-1,81403,605791,-1,432811,148281,-1,251934,485098,522726,210177,-1,-1,786374,-1,-1,-1,292118,708196,365738,200562,850934,101947,10019,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,956118,352759,-1,-1,600675,482770,751730,100927,-1,86033,639482,-1,-1,764922,-1,-1,59950,216924,-1,500811,331737,214880,-1,590733,-1,-1,-1,-1,316454,-1,-1,432784,803416,-1,-1,178713,654835,258761,-1,482082,264860,-1,764466,560423,-1,-1,307779,-1,797968,955706,563132,302291,311579,358153,-1,-1,-1,234316,882931,-1,-1,339875,150609,-1,137474,847766,689119,120904,-1,-1,-1,-1,699941,-1,-1,500868,-1,-1,689160,-1,885683,160575,-1,448335,65741,-1,-1,411418,580529,359124,363585,196947,355855,-1,-1,642992,408536,449376,-1,-1,-1,290061,-1,-1,76038,468308,-1,-1,601621,-1,-1,969521,794234,306461,-1,54031,-1,-1,-1,-1,-1,-1,413341,-1,-1,20265,203652,40468,216256,253854,826651,-1,950625,431879,-1,299356,-1,76407,-1,-1,712995,573133,-1,-1,14742,-1,762893,-1,-1,-1,-1,-1,-1,-1,38677,-1,188104,63822,-1,9586,50,809569,56747,843618,-1,-1,-1,315684,452801,431448,61373,-1,-1,945277,71129,682732,402393,923887,-1,-1,110156,396375,-1,621705,-1,-1,-1,92779,-1,177444,406855,-1,453490,-1,-1,-1,609753,-1,-1,12861,-1,921628,-1,-1,-1,-1,-1,308519,3262,280049,671330,-1,611013,-1,121372,-1,320561,-1,923387,-1,775341,149394,-1,441685,597820,-1,-1,642297,356392,390194,246834,-1,532026,-1,771523,237956,-1,403863,-1,621494,504250,495275,552425,-1,-1,-1,23794,536222,898131,-1,154258,-1,857076,454330,477647,229434,-1,-1,983547,-1,452482,-1,173286,-1,-1,501695,658701,159985,569642,328197,-1,495864,765432,-1,-1,-1,445543,235976,252483,-1,96397,903477,-1,-1,-1,-1,207171,-1,277803,-1,-1,770680,624708,-1,-1,-1,-1,-1,-1,181033,339312,389062,-1,-1,542981,883751,-1,492401,706062,470929,-1,586286,294696,120065,178629,456554,-1,-1,437604,937261,-1,-1,89554,-1,173081,-1,714202,-1,-1,-1,-1,-1,782742,-1,973547,596450,868095,224756,98965,489201,-1,-1,-1,678982,299196,104181,663721,440808,-1,-1,-1,324554,-1,-1,457464,785310,-1,585013,295527,-1,903742,-1,-1,-1,817576,-1,-1,830309,-1,-1,-1,922148,-1,637426,774713,-1,-1,943076,386415,-1,778712,-1,889389,43056,582429,-1,914937,-1,-1,751771,-1,13339,511726,-1,-1,156816,-1,728620,695450,-1,56869,497924,164550,-1,-1,345923,902268,593945,-1,-1,16658,-1,-1,-1,-1,-1,228999,-1,628281,956623,-1,-1,491263,-1,620560,996457,-1,16756,304647,70601,253722,228862,-1,887548,549164,-1,234045,-1,-1,334844,191137,592892,919299,-1,-1,723388,415006,423110,92662,526406,-1,-1,182830,927775,-1,-1,-1,596042,440175,-1,-1,54329,-1,-1,-1,-1,140728,918571,-1,-1,302196,854597,-1,-1,-1,-1,-1,112430,-1,-1,-1,-1,-1,-1,139565,-1,920560,-1,-1,-1,564500,146554,799184,-1,-1,5488,-1,451369,261707,-1,-1,-1,544241,812673,781463,187735,-1,161496,-1,-1,31556,636136,638821,-1,904215,99107,-1,-1,350040,-1,-1,986116,836583,351933,-1,31734,295571,390961,-1,-1,-1,-1,574846,571739,285502,-1,-1,-1,-1,-1,668919,-1,-1,-1,-1,442455,-1,491655,-1,-1,702928,-1,45234,913115,-1,578641,-1,554216,-1,-1,418343,-1,-1,-1,-1,336701,-1,-1,-1,369408,125427,477686,-1,-1,873260,337141,-1,516834,-1,195816,677091,-1,-1,308755,905646,470606,20900,375620,-1,-1,-1,757170,-1,-1,-1,-1,608956,828007,-1,94120,-1,516569,350322,-1,-1,-1,85334,363376,989313,-1,592906,364513,-1,-1,681817,995512,733704,573509,-1,-1,921706,-1,-1,620864,-1,11690,-1,-1,948166,-1,-1,-1,-1,-1,756780,-1,-1,-1,-1,-1,902221,-1,-1,-1,746710,116353,-1,-1,606397,289990,611105,606299,-1,-1,-1,-1,-1,-1,782504,-1,-1,657884,-1,527814,-1,-1,-1,-1,157224,231178,895206,406356,-1,501563,-1,376053,339196,-1,-1,76745,863389,317858,-1,-1,646513,-1,442887,80379,804747,-1,341234,-1,966679,-1,60085,732527,-1,553506,558267,-1,882959,-1,-1,-1,-1,411900,-1,-1,237757,-1,175032,531826,-1,125967,285291,779600,-1,-1,-1,-1,-1,109243,697734,466724,784581,966661,-1,366200,62863,494847,976661,-1,745819,288095,211617,-1,-1,-1,521021,-1,-1,762430,280284,-1,-1,-1,886390,673599,204209,502862,925699,-1,-1,675605,677705,21628,-1,-1,-1,-1,223559,-1,48285,924781,556343,743526,326083,-1,9601,-1,614128,741816,-1,161880,636285,656631,-1,-1,801386,-1,-1,196325,956702,691265,83465,174269,851304,-1,483652,-1,464816,-1,-1,734045,130290,-1,-1,469199,-1,-1,234062,-1,316820,84661,-1,-1,-1,-1,-1,585428,318468,-1,-1,859202,-1,901558,-1,-1,181276,705990,-1,-1,921367,780485,264711,192814,544003,-1,-1,265107,-1,-1,-1,-1,-1,-1,-1,156619,676516,751816,85706,-1,835598,-1,479605,664850,-1,-1,-1,-1,-1,97187,-1,-1,-1,-1,-1,30779,-1,-1,-1,898529,340782,833088,391540,-1,762164,20707,-1,85212,-1,910740,861514,435611,-1,-1,-1,875896,-1,558973,90881,37744,-1,615992,10547,-1,-1,228921,827118,-1,659154,41229,-1,-1,658425,204818,688627,-1,-1,-1,639741,41276,-1,-1,-1,397635,-1,308045,316763,665381,-1,698335,943673,-1,-1,683343,287778,385638,-1,-1,-1,-1,-1,70451,652107,158590,95119,-1,-1,571055,387672,-1,-1,241567,-1,-1,-1,-1,-1,979576,740378,363305,595635,142683,-1,705383,-1,941758,783397,-1,955449,-1,-1,199801,-1,-1,641544,-1,-1,750698,-1,858359,-1,-1,943370,-1,837353,804311,-1,-1,-1,149706,-1,-1,239189,88575,211714,-1,-1,-1,-1,751639,-1,-1,-1,654358,364177,126694,352132,-1,-1,-1,-1,592866,357475,498014,934739,-1,-1,411087,642398,909969,-1,-1,-1,-1,512186,-1,140067,-1,353344,446708,-1,-1,-1,-1,784436,-1,-1,-1,580279,-1,-1,-1,510447,422093,623057,-1,729430,508078,-1,245645,-1,-1,-1,278879,264712,-1,367357,862605,44484,852412,840751,158752,-1,-1,-1,-1,-1,-1,-1,734687,-1,-1,-1,630454,871363,-1,-1,-1,-1,-1,-1,518945,618569,152705,-1,-1,-1,998021,-1,-1,99481,656097,812917,293881,-1,272115,325086,849440,131699,-1,884445,-1,-1,-1,-1,-1,-1,-1,-1,611752,-1,328182,-1,-1,715827,589744,-1,-1,-1,463725,-1,-1,-1,-1,348580,-1,912716,753616,-1,-1,878910,273846,879457,-1,-1,170706,973134,-1,-1,-1,-1,490257,-1,-1,795240,560993,-1,-1,825312,307522,-1,-1,266052,524581,462662,767912,734390,-1,-1,778015,-1,-1,-1,526145,-1,145308,312068,-1,330251,-1,637891,194953,-1,-1,-1,943891,-1,-1,-1,-1,-1,661814,165860,806430,118494,-1,-1,226089,-1,291399,422249,-1,692367,-1,200114,507245,-1,-1,721920,686861,-1,796775,-1,-1,-1,-1,42319,695321,279717,-1,-1,-1,951992,819514,-1,-1,-1,869761,-1,-1,-1,605018,877503,-1,-1,983904,398441,622351,-1,701165,-1,537146,-1,709261,-1,-1,-1,-1,-1,-1,-1,-1,804580,529603,24622,799497,-1,-1,-1,-1,-1,-1,58059,-1,387806,-1,-1,74821,158135,-1,-1,488773,746500,339321,491822,30883,-1,474318,450221,995125,693159,224545,388951,-1,442785,-1,-1,94031,438297,851374,-1,539263,52686,168700,-1,-1,633832,-1,936466,-1,-1,57342,811647,787428,-1,604088,879233,-1,-1,-1,-1,-1,556867,886070,-1,416444,-1,-1,669816,660911,-1,797355,58204,689534,403989,-1,-1,754580,386188,331589,632412,508422,718430,-1,-1,-1,694258,-1,-1,580913,-1,642801,-1,239705,-1,-1,-1,702635,-1,-1,-1,-1,711803,-1,783760,707959,-1,899303,-1,775777,-1,400237,716778,-1,-1,-1,-1,-1,-1,934501,-1,-1,-1,902016,471927,-1,902804,-1,662143,-1,-1,-1,473150,-1,-1,510367,-1,-1,-1,-1,-1,703608,709316,-1,-1,-1,-1,-1,844843,-1,-1,893950,-1,-1,-1,136537,-1,404730,162872,-1,-1,-1,144200,-1,-1,-1,-1,-1,-1,-1,-1,295795,643949,619622,-1,941080,-1,564383,536425,-1,-1,-1,-1,525711,554430,-1,-1,-1,680241,-1,363900,-1,-1,-1,-1,864448,599589,478965,225930,367068,-1,520012,-1,213268,881605,-1,-1,-1,-1,-1,518579,389369,-1,158891,-1,732516,137946,-1,-1,-1,969400,-1,-1,-1,-1,110548,303956,261782,-1,714702,-1,489597,827765,-1,637186,493561,681860,-1,336017,-1,-1,18884,838965,-1,-1,-1,12359,-1,-1,-1,-1,793252,615926,-1,-1,-1,-1,-1,652557,-1,988626,216381,-1,83007,361472,204068,-1,690177,918687,750547,-1,3232,365998,849371,387429,399793,-1,949586,-1,693660,-1,-1,840482,667350,-1,-1,240548,-1,914194,473213,483660,-1,-1,-1,22291,902257,-1,638969,700128,401629,540946,-1,-1,-1,-1,-1,-1,-1,460568,454071,699561,768772,-1,-1,-1,-1,-1,-1,997596,510167,690123,999723,-1,-1,155807,32311,24134,367411,396975,279895,274854,-1,-1,529877,468210,687848,924482,-1,497776,234297,740869,-1,798936,391799,-1,-1,641202,680865,-1,-1,-1,-1,5375,780355,-1,-1,-1,754915,835042,-1,777973,-1,978751,-1,811666,-1,-1,910854,-1,152650,-1,751620,-1,-1,112757,-1,-1,805980,378413,-1,176720,-1,857203,-1,583777,617177,-1,-1,629579,811826,-1,46628,972701,-1,244797,-1,641928,120453,765878,-1,820649,-1,-1,-1,-1,-1,844640,-1,-1,115766,-1,-1,-1,988289,274,-1,-1,-1,969386,-1,259640,-1,803101,-1,936587,-1,845689,821701,73928,-1,-1,-1,-1,446750,327219,-1,-1,553598,294555,-1,-1,742111,155932,819841,821158,354457,275264,-1,-1,-1,-1,-1,-1,-1,245231,388107,213913,-1,-1,267675,-1,448016,700815,127532,-1,854211,-1,659324,-1,-1,414245,606095,-1,730423,-1,-1,-1,-1,-1,304111,960386,-1,-1,630915,-1,292592,-1,-1,146000,312045,520314,-1,731334,-1,-1,-1,-1,-1,-1,-1,-1,-1,393467,-1,-1,-1,823382,-1,-1,-1,-1,11124,325375,-1,-1,558468,-1,-1,737136,890992,-1,388613,-1,973086,125654,171961,148743,60270,-1,-1,-1,-1,-1,-1,-1,935943,-1,739047,-1,773958,575249,-1,779526,-1,706253,922866,-1,-1,-1,675892,-1,-1,-1,128485,17009,-1,705967,882352,414912,-1,784282,-1,684742,316430,-1,383339,295272,824546,763464,788052,812587,642702,195187,-1,22446,625991,-1,-1,810866,-1,71183,828180,760934,-1,738180,-1,-1,-1,-1,146757,43835,-1,917627,-1,181359,68274,-1,649166,446877,919236,-1,-1,-1,-1,967922,398199,320550,726703,941670,879814,201687,-1,761963,-1,-1,225876,-1,709595,3014,-1,946171,856432,784119,474969,495944,485354,746598,386491,-1,-1,582675,-1,-1,67419,395304,-1,618876,401131,-1,-1,789756,-1,-1,-1,-1,817754,-1,655230,567739,-1,258311,-1,607976,476282,996998,-1,-1,484662,-1,-1,521735,-1,992578,33868,794570,379621,123183,395627,-1,-1,39163,748738,911090,-1,671080,-1,-1,804928,-1,-1,889506,-1,430291,680613,-1,-1,-1,-1,-1,467827,-1,914627,780393,-1,-1,-1,-1,672212,933852,116327,67543,-1,690202,490200,569199,-1,373370,786594,-1,-1,-1,-1,65985,-1,982126,-1,-1,-1,637818,-1,447649,481540,699616,518303,337395,-1,596479,-1,-1,672708,862350,-1,-1,661866,-1,301491,629076,179467,504010,-1,239350,-1,-1,-1,-1,-1,-1,-1,-1,519407,-1,-1,713805,142916,607784,-1,-1,-1,255664,761518,-1,-1,921510,752290,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,724197,135576,-1,-1,-1,295385,-1,-1,-1,-1,-1,-1,-1,77172,-1,-1,817508,594341,974137,238601,-1,231446,-1,584557,-1,-1,-1,-1,-1,-1,768487,12349,-1,-1,474060,-1,-1,-1,-1,-1,501288,481464,643862,-1,758044,-1,394332,-1,-1,-1,384223,725066,-1,163912,-1,791662,-1,987473,168372,606295,-1,-1,776549,-1,918240,-1,-1,487877,6608,885404,578732,277310,-1,892835,-1,-1,-1,206656,382406,-1,719888,568397,24277,-1,-1,-1,-1,-1,-1,510181,471873,856623,49674,-1,-1,-1,-1,407535,-1,847605,20783,-1,715061,-1,934168,-1,-1,-1,172465,911102,613745,-1,230754,828891,360906,-1,241058,-1,-1,528538,22436,848654,-1,680469,-1,-1,-1,984780,400407,-1,371174,-1,51583,-1,-1,-1,-1,-1,-1,732934,-1,74600,176236,584495,217105,-1,428738,865336,738938,106351,365565,-1,-1,865350,461007,-1,309919,-1,281351,307484,-1,-1,734373,-1,-1,571284,-1,886153,-1,488933,-1,566407,739926,595540,122827,570628,-1,661364,187024,-1,55814,391130,-1,732046,-1,-1,958100,-1,344359,-1,-1,-1,532336,-1,152580,-1,-1,967615,630093,387926,-1,988890,-1,-1,-1,-1,509432,226471,312690,906858,881201,885447,261107,-1,340507,95892,-1,867366,-1,719868,316643,-1,-1,899043,762055,-1,-1,950401,-1,622799,-1,-1,228052,245939,467060,870575,181239,-1,868471,-1,-1,-1,652592,314097,289698,-1,-1,-1,-1,188411,-1,7735,714651,747754,-1,-1,416460,769507,809679,-1,473154,-1,-1,263228,-1,414658,962830,281773,694955,-1,-1,-1,-1,735037,-1,-1,-1,-1,-1,-1,-1,165011,-1,-1,-1,-1,-1,-1,654989,318659,-1,-1,310615,383995,-1,-1,-1,94204,598740,654047,-1,394787,-1,4691,-1,-1,155234,-1,51011,501470,-1,893717,382175,-1,-1,-1,55891,-1,423175,-1,679337,529566,-1,-1,148549,-1,-1,-1,-1,437276,100373,404583,950867,11006,-1,-1,-1,812880,307308,-1,-1,88868,-1,-1,573592,846252,-1,-1,922336,288950,320788,188027,720503,-1,-1,-1,707360,-1,64823,762493,-1,-1,595645,79031,46653,152626,-1,-1,198924,-1,54595,697139,240286,227749,207462,956943,160610,-1,903005,-1,727242,-1,840986,23352,95501,122828,-1,493974,896397,-1,829937,80223,-1,-1,948764,361996,-1,645482,570173,544280,-1,-1,-1,-1,-1,-1,-1,797983,510175,89096,-1,684575,99935,508114,-1,72903,915338,139229,585219,-1,-1,-1,505155,504387,-1,-1,-1,921743,966243,-1,-1,-1,-1,-1,744998,-1,563615,403951,-1,802590,-1,178118,905779,286552,-1,744562,54536,476003,608949,-1,897817,-1,-1,-1,-1,73361,528220,-1,-1,975037,227192,833385,-1,922345,355286,-1,-1,926246,-1,-1,509486,179844,-1,892669,-1,-1,290273,-1,544456,-1,-1,668809,585519,10574,-1,866510,299834,-1,719936,862295,-1,221107,-1,-1,-1,-1,-1,-1,785956,534083,-1,308793,988770,-1,946080,263503,758265,71543,-1,-1,768202,-1,802481,706800,-1,-1,-1,375740,-1,-1,-1,-1,-1,716027,592583,541203,10167,202450,11260,769844,322239,814599,-1,-1,902367,79766,-1,-1,-1,-1,-1,920526,-1,-1,86074,380281,667395,-1,-1,184235,444393,102096,278480,-1,-1,-1,159600,344673,-1,-1,689269,886398,184748,-1,-1,-1,176944,-1,-1,-1,-1,-1,962545,-1,277979,-1,234823,392288,954048,-1,931432,708751,394436,-1,664879,-1,410460,-1,875979,170342,960454,46977,993486,-1,715806,-1,-1,-1,-1,85658,854701,553397,-1,-1,386974,942243,903249,-1,-1,419504,-1,430748,-1,-1,788731,-1,377711,299605,-1,236580,-1,36817,-1,80954,364668,-1,921555,104148,427232,-1,263348,619108,-1,-1,717560,215080,717237,-1,215680,121286,105909,767417,-1,-1,-1,484773,-1,-1,-1,-1,199751,607377,641060,864904,-1,-1,123342,96278,-1,-1,955131,-1,95277,503568,673255,417241,-1,-1,215060,-1,244232,851031,739258,-1,537946,-1,474132,404344,808313,595859,-1,-1,-1,733171,-1,537546,-1,-1,-1,180274,823262,174280,395593,685752,-1,69595,180788,116985,-1,928570,-1,9308,889151,-1,519169,-1,490308,-1,-1,-1,882375,-1,105866,608758,427148,389897,776279,305498,395688,517172,945108,592156,278929,-1,-1,-1,-1,868707,904189,-1,728216,777757,-1,739383,305282,424854,-1,234087,-1,-1,-1,-1,-1,-1,697566,891265,-1,-1,-1,-1,-1,765109,638865,-1,-1,756187,981061,520931,939337,368820,-1,-1,261099,257604,-1,-1,97098,50386,-1,-1,-1,762828,590878,725140,659523,-1,440858,-1,984156,-1,457910,-1,-1,-1,121350,-1,-1,-1,679968,-1,-1,-1,-1,-1,-1,826372,-1,445051,-1,282170,42205,-1,708588,696178,-1,-1,-1,-1,791327,-1,-1,-1,-1,-1,-1,-1,-1,959025,802325,465876,628039,914043,222927,-1,-1,413792,-1,-1,-1,52215,521052,-1,64067,988544,-1,-1,-1,-1,-1,-1,12483,13213,136591,-1,659373,-1,-1,532127,-1,722862,-1,280907,-1,-1,-1,-1,-1,801259,17599,90201,-1,-1,720628,-1,257085,-1,-1,417758,590194,452642,-1,-1,913440,190163,839280,11096,949855,-1,-1,-1,-1,-1,-1,732191,518974,255626,891164,227485,647989,39855,-1,-1,38019,-1,-1,-1,-1,-1,-1,-1,592220,349327,89177,-1,553428,-1,-1,-1,-1,88778,-1,573985,829265,267228,-1,71721,352844,673867,-1,-1,597871,-1,-1,-1,-1,-1,186202,-1,-1,-1,718254,-1,-1,648873,979918,-1,450229,523275,-1,-1,-1,866479,430504,210936,300418,84477,210176,39096,-1,470317,-1,-1,-1,669410,-1,-1,214998,214318,688584,-1,-1,-1,173616,-1,976290,-1,-1,-1,377302,-1,354762,-1,680753,-1,635692,-1,93087,942244,-1,185656,-1,-1,395053,-1,835885,-1,453400,-1,-1,200836,513824,-1,633506,-1,97057,-1,-1,-1,-1,134172,-1,129119,117431,279791,354214,223653,900699,828163,170274,508120,-1,-1,-1,614734,-1,-1,-1,61226,-1,432372,686446,-1,473223,-1,-1,647442,683853,-1,554706,-1,-1,-1,-1,926871,-1,731906,804700,-1,-1,-1,516558,344304,924566,-1,806371,-1,-1,-1,756476,479171,620351,511613,-1,172438,-1,828837,-1,-1,471605,388867,65654,-1,185194,-1,169953,-1,-1,956649,-1,62279,-1,-1,-1,524747,157592,-1,-1,379285,41105,87392,121780,-1,-1,821247,-1,749768,-1,348132,272673,708780,-1,638674,-1,-1,398554,336282,-1,213511,383496,-1,-1,786316,-1,489721,284281,-1,-1,38609,-1,900117,-1,-1,213899,521695,346216,313729,508844,689829,-1,-1,-1,971321,512222,313033,829366,696885,-1,-1,356873,-1,-1,613191,-1,-1,-1,-1,524327,318412,-1,544877,-1,-1,937336,-1,-1,-1,832119,278232,-1,960172,-1,113490,-1,903079,380194,22994,514593,-1,916196,442881,-1,696730,499055,279272,274802,23371,155424,715990,986466,-1,207951,-1,736080,-1,135233,282788,505037,84825,-1,-1,-1,-1,-1,654450,927774,639641,-1,-1,924897,532779,-1,581116,834640,752849,-1,363489,-1,-1,-1,-1,-1,-1,-1,936875,15156,10913,657366,593135,209733,889217,72131,-1,-1,-1,632782,910922,286209,-1,745427,913720,12969,-1,-1,-1,-1,-1,80921,212620,-1,691912,-1,123112,200837,-1,599845,310407,485689,-1,554172,-1,81569,-1,189919,208467,-1,-1,-1,-1,995352,-1,-1,308229,600750,-1,379742,189747,324679,-1,863751,-1,-1,-1,-1,-1,-1,120164,783949,-1,669511,910445,-1,-1,789050,914521,-1,934155,414942,-1,-1,365534,767707,48410,-1,-1,-1,-1,-1,-1,283703,948307,330684,-1,-1,-1,206723,653305,-1,499433,421422,372222,-1,-1,776714,50744,839874,162047,691468,571361,-1,-1,-1,970857,-1,-1,-1,485455,875808,167334,-1,-1,-1,292765,842641,194150,910751,-1,-1,887485,-1,670623,881753,-1,-1,-1,377297,35410,-1,-1,-1,-1,52026,724807,523589,-1,-1,-1,678702,-1,-1,-1,-1,-1,-1,56417,187934,521715,162746,-1,59437,-1,932111,983776,233694,-1,-1,880570,-1,-1,283975,247586,-1,-1,-1,28670,-1,791089,-1,-1,931761,-1,-1,928493,-1,-1,835654,-1,597759,533166,-1,-1,-1,-1,-1,-1,457125,-1,-1,-1,-1,3310,635425,-1,-1,539752,630384,657913,43901,384702,-1,163428,-1,530430,972455,302868,-1,545740,143457,-1,-1,147713,-1,-1,745953,938394,-1,488786,814235,-1,647420,626211,-1,350692,608174,11792,-1,-1,773260,275779,-1,-1,607058,857448,-1,138624,-1,-1,404243,-1,514953,-1,-1,-1,186565,-1,31192,-1,208913,775433,-1,932796,89614,-1,151071,917170,-1,-1,841358,-1,-1,-1,-1,-1,444616,-1,-1,-1,555370,-1,487481,893706,-1,-1,887245,-1,-1,860655,-1,124744,193606,811513,316674,-1,-1,628478,440349,-1,237939,-1,-1,811259,-1,886717,266164,-1,576490,481897,-1,-1,189858,904763,-1,849590,-1,-1,-1,-1,253354,409954,-1,764459,-1,-1,965542,210812,-1,161953,576255,-1,607349,917379,-1,498944,296233,-1,172960,-1,-1,-1,-1,-1,115262,-1,-1,260141,421600,538825,577519,368259,-1,-1,-1,530656,670877,-1,-1,-1,-1,91671,-1,-1,215809,-1,363740,910044,35828,537097,-1,-1,818011,842242,-1,-1,967401,626580,-1,159671,341736,989333,868675,533942,761638,-1,-1,224415,449772,934017,961721,-1,-1,695704,-1,628496,371592,399459,196505,877947,757626,-1,-1,-1,323985,-1,750197,824010,87496,197461,316900,-1,-1,-1,-1,-1,510387,139312,675518,998137,669729,-1,-1,239525,556667,103888,369508,910540,-1,-1,672286,-1,-1,-1,-1,-1,995608,790920,229722,-1,873481,-1,-1,883880,373334,367286,-1,388161,-1,-1,-1,-1,-1,375777,472741,263837,203703,-1,546382,-1,-1,-1,228483,-1,-1,-1,491002,976531,-1,-1,357179,633089,-1,-1,760587,-1,-1,-1,-1,-1,-1,925629,483759,286329,-1,322300,-1,-1,-1,215174,-1,-1,-1,539772,-1,-1,717366,37352,-1,366614,-1,416451,558459,-1,-1,387210,827461,-1,-1,-1,212585,-1,582839,-1,657145,-1,410652,-1,-1,-1,426598,706753,-1,-1,414480,-1,930536,-1,346018,403607,385254,-1,-1,-1,-1,-1,13827,-1,-1,168136,-1,-1,48287,907174,269224,921409,-1,821952,726006,709490,559641,-1,724967,824454,740279,557527,325093,-1,-1,701249,252484,539761,-1,878953,-1,489103,-1,412588,-1,274585,-1,-1,623420,639253,876198,-1,-1,270163,-1,473874,812230,-1,358880,-1,246294,656842,128914,875185,-1,221007,-1,-1,543762,-1,-1,542608,861348,-1,-1,432612,24401,768333,-1,-1,296046,-1,606192,43067,-1,801203,896532,46617,718829,747145,-1,382651,-1,-1,414426,320286,37416,-1,884419,-1,702013,1599,338509,172141,-1,963467,204905,-1,-1,-1,-1,-1,464740,-1,-1,-1,-1,23022,384557,952280,191460,329366,-1,436584,325586,989363,-1,-1,820095,319214,-1,-1,-1,-1,-1,769373,-1,-1,968154,754786,657386,-1,486042,-1,426188,310687,428481,-1,828177,-1,126473,-1,-1,926769,-1,-1,-1,56437,92958,57437,758150,420356,906847,-1,617894,-1,599875,481308,-1,137641,-1,-1,326277,524453,251209,166331,-1,-1,951991,-1,-1,-1,833474,-1,733589,299237,-1,-1,89541,-1,-1,908797,-1,-1,483407,-1,-1,-1,368383,-1,-1,-1,-1,251221,-1,-1,-1,-1,605345,71342,-1,189230,901805,-1,-1,520283,304890,527352,-1,104966,717214,352721,546587,929423,289198,-1,-1,-1,-1,92666,-1,416267,-1,785071,524417,315140,-1,7039,-1,-1,634514,776259,-1,-1,-1,-1,678080,-1,885367,748433,-1,-1,741524,237592,669776,877678,220338,-1,193345,390676,-1,-1,213452,356957,505346,360587,138395,-1,979163,-1,971481,292901,-1,-1,840711,977175,890588,449248,829293,461048,-1,-1,386559,925163,-1,981969,649575,-1,-1,296637,-1,9647,-1,398671,-1,804291,-1,-1,-1,643059,166254,-1,-1,354431,9921,-1,67402,-1,704138,457933,788776,-1,-1,228074,952864,631647,894685,310762,502589,224162,254615,389640,-1,-1,64653,21781,-1,477229,265020,443491,93569,84418,688788,104981,-1,972020,-1,-1,707189,871497,-1,814041,363756,857108,-1,479596,-1,96644,963066,425753,54341,949788,-1,-1,-1,817299,440613,612240,-1,416821,-1,-1,963062,652110,165958,-1,581865,-1,828792,-1,-1,16118,-1,-1,576789,504686,-1,363950,658318,702084,97931,909493,953627,-1,757375,-1,376853,829746,824342,-1,36509,911534,-1,577183,134974,-1,116718,816934,86236,-1,177354,212499,-1,227673,754778,609847,-1,368167,898626,-1,868474,-1,-1,-1,450540,-1,59622,552518,651360,-1,784566,-1,797277,824563,625567,-1,437341,714991,-1,4476,750462,-1,-1,264154,761126,141466,-1,-1,348771,474476,-1,255647,516233,968017,-1,863320,-1,204120,-1,108176,27469,131550,-1,-1,988997,-1,490080,587814,725000,-1,-1,716246,91222,-1,179436,-1,-1,-1,-1,-1,253305,-1,-1,-1,855343,-1,-1,-1,649971,-1,953422,-1,216607,711014,920820,-1,536283,-1,-1,759259,437510,-1,310213,707513,118110,297545,-1,-1,406835,-1,-1,810816,580456,-1,-1,-1,169078,-1,835232,410414,791023,-1,223699,-1,-1,-1,269679,-1,-1,-1,-1,485607,705617,-1,507495,-1,313841,883220,-1,-1,-1,-1,511315,-1,-1,760404,759979,873283,308169,-1,-1,477908,-1,282399,-1,677471,141244,895853,-1,778751,381760,-1,947190,-1,-1,156035,-1,832586,775881,973170,-1,-1,-1,-1,786158,-1,-1,479000,341740,273450,-1,-1,176067,337866,-1,-1,559098,-1,-1,527907,653814,454116,53471,-1,600013,-1,742891,-1,-1,-1,-1,888209,-1,-1,417694,-1,-1,73788,940748,148613,240644,-1,-1,-1,-1,-1,-1,781350,253097,-1,437302,216034,172603,-1,301871,998488,-1,915851,-1,-1,101861,-1,574716,43849,97244,22287,-1,-1,996562,140211,389065,-1,775761,-1,509506,-1,591563,-1,631281,827590,928557,226510,-1,-1,-1,-1,-1,-1,621935,555120,873361,28741,78357,-1,499149,-1,-1,161363,-1,-1,644128,-1,-1,135069,536582,940066,422371,-1,215255,-1,358640,884669,725505,-1,-1,-1,16913,293439,-1,363258,-1,151668,65163,-1,74359,-1,823594,722527,-1,341725,-1,429215,-1,272285,-1,-1,426311,67368,94685,-1,590606,454249,342459,-1,593259,464066,-1,780682,-1,-1,-1,-1,302609,272004,376706,333933,83768,180619,-1,137960,-1,616851,481965,-1,-1,805423,443668,-1,607644,-1,-1,884878,-1,819257,70142,345413,986212,793221,549343,-1,757113,-1,32040,893295,-1,-1,-1,17115,942429,312598,55637,-1,831778,-1,571624,195569,-1,-1,689607,-1,-1,728767,814277,632533,804625,6741,722442,-1,-1,-1,-1,-1,-1,-1,-1,393548,-1,710775,-1,-1,-1,-1,-1,583383,874732,975867,282577,52915,-1,-1,62181,350648,765072,-1,-1,-1,355256,-1,126930,165230,-1,606993,-1,547883,-1,-1,237543,708136,791707,-1,-1,938578,660438,-1,-1,-1,-1,-1,-1,794340,-1,-1,664249,-1,-1,-1,472446,918601,580346,326152,-1,752944,-1,624587,-1,336268,-1,-1,458019,888590,756566,38824,-1,-1,-1,-1,-1,-1,588821,528421,-1,-1,156895,-1,934656,603354,-1,-1,36299,-1,489978,-1,-1,902338,-1,-1,584115,324937,-1,122515,503020,59232,811222,-1,533448,-1,-1,-1,905526,-1,-1,-1,-1,-1,-1,20508,138171,-1,-1,890548,-1,230246,-1,87937,-1,185373,-1,-1,963072,-1,-1,831685,237370,-1,168533,-1,-1,-1,62017,-1,606394,-1,-1,-1,277688,882517,-1,-1,93831,-1,287360,-1,98278,836439,-1,809495,-1,45956,-1,932748,-1,489665,744553,-1,371437,130540,713379,387191,503704,822039,80990,2319,578148,171094,-1,-1,433276,-1,421479,294433,710518,713405,-1,-1,555722,-1,611801,-1,575086,610004,-1,-1,121939,639,898763,-1,328646,560903,-1,-1,468547,992488,660761,174944,575553,345299,-1,-1,-1,775760,-1,-1,-1,-1,464257,308520,-1,-1,-1,358759,710872,-1,775026,-1,-1,689315,-1,-1,-1,290003,-1,269371,-1,-1,868899,-1,-1,-1,108233,-1,-1,61400,605326,-1,180209,142938,180150,731297,-1,-1,-1,-1,307701,828681,-1,-1,-1,85992,-1,-1,770748,-1,-1,-1,229269,177986,-1,22613,723317,-1,695517,859127,-1,-1,914496,326290,923984,-1,380971,609297,978282,-1,909084,745329,-1,618308,-1,-1,-1,27479,299927,-1,907309,-1,122292,394532,465334,738467,-1,180063,435871,81660,-1,-1,-1,589602,141628,931330,-1,571712,-1,933674,-1,461533,-1,-1,343456,-1,860911,-1,-1,-1,-1,-1,496157,116094,-1,232406,-1,42828,-1,765631,-1,-1,642460,-1,-1,-1,-1,583261,992415,-1,-1,-1,-1,-1,908770,544937,536832,-1,912997,337894,523085,223666,-1,-1,-1,232919,-1,-1,-1,-1,-1,136134,934745,-1,-1,11704,-1,-1,25861,-1,162420,-1,257924,-1,-1,320145,-1,925285,-1,717650,799833,590818,-1,-1,781771,-1,-1,-1,-1,715150,244648,-1,-1,-1,654226,-1,5064,703920,528272,-1,322248,-1,579859,16382,-1,-1,-1,-1,904255,-1,-1,-1,787554,-1,531206,-1,473510,996882,815286,-1,-1,-1,-1,510379,-1,885807,815997,-1,-1,-1,696354,-1,-1,592258,393121,-1,-1,278728,516739,417925,591414,-1,672982,-1,863828,858031,-1,-1,-1,924879,-1,-1,-1,284526,796726,-1,604854,-1,-1,-1,-1,197012,-1,267715,942202,-1,-1,-1,-1,649099,440974,612241,-1,523371,-1,-1,-1,-1,-1,838274,564579,795727,874108,-1,829207,445615,-1,-1,32535,-1,-1,420649,-1,682368,-1,-1,450224,30080,-1,-1,32077,125061,-1,-1,-1,482741,-1,-1,891082,-1,868197,406282,-1,-1,-1,502414,43917,555899,-1,884812,-1,908109,-1,-1,-1,567586,596158,678924,729913,82757,876282,-1,-1,333316,498811,533473,36340,492882,-1,-1,549300,90405,-1,-1,184469,857089,460125,89223,321992,317458,-1,389739,-1,91092,701475,342222,629177,709486,-1,-1,518232,799643,895867,515253,113078,-1,587619,192623,797458,-1,-1,923338,378301,-1,1881,-1,-1,698077,-1,-1,550073,28388,-1,85901,715953,947118,-1,746385,-1,-1,-1,803344,188247,-1,839820,808400,-1,364106,-1,-1,995391,-1,-1,725332,471611,355187,432011,-1,-1,-1,-1,906178,480399,-1,-1,115256,-1,51992,-1,778187,-1,701358,-1,-1,991923,67882,683249,-1,872394,411378,-1,-1,673155,-1,-1,726272,-1,717312,461721,443719,297501,-1,968769,450765,-1,-1,878132,-1,-1,359697,-1,224465,685860,831286,518883,-1,167645,-1,-1,-1,587467,932040,-1,-1,-1,603588,358257,828646,287439,-1,292423,300137,-1,641680,-1,79912,610516,280478,-1,-1,829321,-1,-1,-1,-1,-1,666332,-1,811382,163865,514769,-1,427030,724916,-1,658204,-1,294716,-1,-1,-1,-1,547572,603393,-1,-1,-1,-1,138918,230874,472945,-1,235752,785802,-1,152198,-1,799334,-1,-1,-1,-1,425921,602100,-1,-1,610596,-1,437284,-1,290940,-1,946028,-1,283648,-1,-1,-1,-1,84533,435921,111855,604729,323699,-1,203720,-1,738206,472834,495382,-1,-1,-1,-1,377071,320706,-1,-1,-1,846373,-1,329989,120544,-1,-1,568646,-1,-1,712703,989992,502465,-1,-1,906353,-1,-1,-1,-1,118107,-1,-1,-1,553850,296547,-1,-1,337861,783086,-1,829520,733359,298566,-1,-1,-1,-1,421548,723282,418528,539272,-1,-1,-1,-1,-1,809513,-1,952050,5591,314244,-1,-1,91871,-1,598038,839360,546420,519397,711741,182547,876624,40740,-1,-1,-1,485136,-1,-1,-1,-1,-1,-1,-1,-1,886778,393240,54347,-1,-1,433870,757945,-1,377767,-1,-1,47255,-1,721965,549575,-1,-1,-1,364037,-1,-1,438931,-1,16583,-1,-1,-1,-1,705458,-1,701256,737670,128632,201350,872245,-1,-1,465635,-1,472082,112861,838198,-1,-1,-1,639752,8772,-1,-1,54206,244040,557288,149101,840124,219039,34187,-1,49525,-1,248812,-1,-1,669455,-1,44127,652593,428269,379057,568370,-1,-1,-1,-1,-1,254314,252743,-1,821655,-1,-1,-1,996750,136006,-1,125755,690022,-1,881903,-1,-1,573273,-1,498751,-1,266195,-1,939270,402133,-1,-1,-1,-1,920989,-1,-1,707052,943430,700565,-1,-1,-1,-1,737358,934280,-1,-1,-1,24764,291978,575973,-1,843289,-1,-1,-1,-1,-1,565268,-1,-1,-1,991726,182986,-1,-1,-1,-1,419202,-1,-1,-1,-1,-1,-1,595857,-1,-1,160232,-1,-1,102360,985002,-1,777499,-1,-1,115040,-1,-1,-1,915948,-1,154597,-1,-1,-1,-1,186028,815268,453768,-1,348061,-1,342965,-1,-1,-1,-1,22034,106069,495836,-1,374826,-1,-1,147444,20105,-1,563155,989497,-1,-1,615968,-1,714609,-1,79178,707552,-1,-1,-1,804358,-1,-1,897535,-1,-1,-1,446325,-1,154977,-1,89056,-1,158865,756987,-1,618329,929169,218303,-1,120116,-1,382806,92974,767439,410313,-1,-1,-1,158204,-1,811455,140762,-1,-1,100760,-1,-1,-1,-1,364557,-1,-1,69246,231788,585270,-1,861937,-1,211262,-1,403100,-1,36484,-1,-1,-1,-1,-1,-1,48128,646682,-1,531886,-1,138743,467783,-1,-1,-1,-1,-1,-1,877223,829491,154255,190141,-1,481273,342450,869011,290759,935704,-1,-1,44290,-1,-1,667669,262092,723204,-1,-1,728424,-1,735029,-1,43106,756644,-1,-1,866144,710812,-1,361203,-1,-1,91473,-1,-1,-1,-1,177715,-1,945945,351371,-1,-1,-1,276696,-1,21579,360408,930842,108951,-1,-1,783935,770592,909233,-1,418316,100031,-1,702043,-1,-1,-1,-1,148450,-1,-1,396738,969267,-1,-1,-1,-1,-1,-1,618940,165547,740736,-1,-1,-1,-1,94703,-1,62868,-1,343095,-1,-1,-1,-1,37333,-1,-1,-1,-1,850650,-1,35009,980749,988653,696369,656915,-1,-1,992176,290662,849059,-1,779141,747028,-1,610793,208634,434015,-1,-1,-1,433019,424683,-1,-1,-1,472438,-1,584739,623593,389054,116422,273597,461781,-1,-1,-1,-1,492493,502419,-1,-1,572111,-1,370881,-1,-1,601247,592321,188183,-1,428563,-1,59706,-1,-1,-1,275834,-1,702516,527611,123204,-1,909615,418491,757029,127565,359351,974112,399746,-1,-1,260514,-1,329347,184720,-1,697760,113229,388244,403928,516889,-1,536080,584569,699678,124717,-1,-1,-1,-1,995595,659401,-1,978810,-1,443583,-1,466072,-1,179891,910097,-1,292776,-1,-1,-1,711566,-1,945184,163978,85479,-1,-1,-1,383563,-1,-1,332206,392941,582057,395890,-1,239688,-1,458337,-1,553895,523132,741094,-1,-1,382565,308128,542426,434613,845812,993751,788833,287146,-1,-1,-1,-1,-1,-1,585827,940307,-1,744917,-1,-1,-1,-1,-1,715676,409586,717298,-1,-1,784163,396149,-1,-1,587516,-1,576017,-1,790185,855390,777560,772813,-1,-1,-1,249888,-1,-1,85710,384663,-1,803305,865844,277575,450422,732883,-1,-1,-1,921113,-1,-1,-1,-1,111830,-1,191683,709186,373399,206853,727717,867968,823976,732932,-1,-1,-1,-1,-1,503061,-1,-1,-1,-1,887646,-1,-1,142456,545893,-1,-1,380433,564328,921655,-1,-1,803641,461894,104034,-1,337089,436832,-1,700339,422997,-1,-1,-1,-1,58212,-1,-1,-1,521731,18579,935542,442871,757961,70937,-1,409872,-1,208696,769994,-1,613709,-1,-1,-1,742956,-1,425963,-1,165350,431817,-1,37244,728147,-1,726323,307286,-1,460004,-1,802491,723200,72124,-1,459732,-1,-1,-1,-1,93925,-1,-1,-1,-1,658213,553235,-1,-1,621919,-1,363965,-1,555340,964408,-1,-1,116988,-1,716648,-1,-1,984130,517501,-1,717362,548529,748801,-1,-1,989452,815202,945284,-1,-1,944212,-1,-1,157501,539855,-1,281838,-1,567195,-1,720693,-1,-1,-1,788451,-1,-1,475138,-1,-1,210204,-1,-1,852173,-1,-1,-1,576310,77947,-1,622812,65564,-1,-1,549513,728049,349218,849139,-1,-1,-1,150151,-1,880843,728519,-1,631258,642741,-1,-1,100632,-1,194765,-1,-1,760924,-1,-1,-1,342076,-1,-1,886147,-1,427283,-1,175821,-1,658216,-1,417486,-1,-1,970065,349783,-1,-1,-1,970531,-1,394594,74428,532670,-1,-1,205614,-1,460505,992002,-1,699224,275329,339370,621987,-1,-1,-1,742926,-1,187788,21877,-1,617317,-1,633741,428126,-1,-1,-1,-1,-1,797043,-1,338595,-1,301328,-1,371577,172727,4779,410985,742392,286192,-1,186646,-1,484302,637776,-1,-1,803769,-1,412535,-1,-1,-1,-1,643885,-1,-1,551526,-1,851599,-1,-1,72335,951635,720903,665109,-1,77990,-1,911905,-1,234382,-1,854573,-1,670751,684814,-1,-1,623316,28544,-1,379058,-1,-1,-1,676398,44731,-1,-1,-1,138204,-1,748064,-1,-1,164512,101341,-1,-1,858768,569838,-1,-1,919009,-1,493237,148941,227782,660352,-1,528594,-1,899677,-1,-1,-1,660534,-1,282627,-1,-1,-1,639719,-1,-1,214740,-1,613925,763333,-1,-1,-1,-1,-1,-1,-1,381020,597012,-1,-1,461211,392925,-1,874211,-1,733453,-1,122529,-1,592953,97437,-1,509452,-1,-1,631928,-1,561887,-1,-1,-1,-1,-1,777951,-1,794099,-1,-1,375885,301915,-1,985342,163834,-1,-1,-1,-1,808386,-1,-1,-1,-1,-1,70558,-1,-1,-1,-1,-1,34331,161021,19783,-1,411045,-1,-1,817290,491722,459076,981759,908526,-1,193185,-1,-1,586436,677107,466454,-1,267529,-1,-1,-1,-1,-1,-1,-1,-1,-1,121409,323727,-1,9554,-1,324080,-1,-1,771630,625419,472346,-1,707638,-1,-1,-1,-1,643778,153343,-1,241046,788550,1884,421350,-1,-1,768807,-1,621219,-1,-1,-1,-1,-1,592416,646807,-1,-1,-1,-1,980940,-1,-1,966061,-1,-1,-1,625148,-1,935612,-1,-1,937541,25710,587346,302288,78615,-1,454408,-1,999365,335286,699372,-1,373059,-1,655527,47440,-1,677837,398014,738953,-1,901427,-1,-1,-1,830488,-1,-1,444933,32692,812602,-1,-1,765512,-1,936154,-1,420898,-1,912680,248999,603081,583556,265227,-1,344831,715587,-1,-1,696662,-1,204309,717688,-1,-1,-1,-1,-1,141937,-1,347900,276752,792791,-1,-1,-1,-1,-1,-1,-1,531209,757330,45416,146217,765088,-1,-1,337759,-1,-1,561457,-1,-1,-1,855281,221963,136768,860431,-1,533480,128320,382491,556720,-1,324316,351365,37589,-1,-1,519230,21773,391896,-1,-1,964347,-1,88203,-1,316102,-1,-1,981108,-1,334150,248079,286518,159499,-1,935047,659690,-1,102597,-1,65602,-1,10538,814493,-1,-1,-1,-1,-1,-1,33816,-1,349829,-1,-1,268032,-1,-1,-1,940464,25563,-1,400363,598195,544070,384960,515401,544495,-1,917609,-1,-1,-1,-1,-1,725019,-1,-1,772511,384593,-1,-1,-1,820113,-1,260010,559111,-1,808878,-1,776954,752085,-1,-1,795185,-1,590785,374439,-1,94440,-1,-1,-1,-1,-1,-1,73238,-1,323021,-1,-1,-1,480677,897861,-1,-1,-1,-1,935284,-1,-1,-1,-1,-1,504314,-1,666823,664128,-1,-1,156247,-1,421332,241084,-1,306942,-1,-1,771600,-1,-1,162356,-1,-1,-1,-1,681967,445873,254877,-1,-1,-1,803077,-1,-1,154407,79489,715738,786833,-1,-1,662240,-1,-1,122938,-1,436050,176274,530954,-1,54312,865581,666815,477566,-1,-1,-1,234121,799519,246539,953637,308896,-1,705822,449846,33396,-1,-1,-1,198541,-1,-1,-1,383364,-1,-1,981573,-1,-1,365005,-1,955578,-1,-1,-1,-1,-1,114696,336039,306071,502586,-1,958557,-1,633885,620620,-1,223989,-1,97699,591946,-1,-1,29740,-1,-1,-1,-1,11589,-1,-1,524765,-1,65697,-1,-1,396021,595515,-1,607709,-1,-1,-1,-1,-1,98610,-1,738763,141092,-1,552153,-1,-1,-1,-1,-1,-1,-1,2205,-1,-1,659816,407079,879433,129466,-1,219893,503545,786315,-1,-1,581031,974733,-1,-1,557776,-1,-1,255037,-1,-1,949668,-1,-1,259745,-1,39723,-1,136980,-1,355651,-1,530369,-1,-1,-1,118499,-1,-1,-1,-1,-1,-1,-1,-1,-1,963881,299910,597302,-1,-1,-1,68687,-1,421302,-1,-1,782285,-1,-1,633525,660598,791302,428498,-1,515764,919307,901348,59307,99466,81849,-1,229739,-1,321897,677729,876134,726246,526308,754183,257478,-1,-1,-1,-1,-1,-1,171942,-1,-1,-1,375216,103478,513223,293238,-1,572773,-1,36447,727337,-1,-1,766245,993247,-1,865728,-1,-1,959359,-1,-1,-1,-1,611184,783077,925804,-1,-1,-1,-1,-1,-1,-1,148751,-1,-1,-1,-1,600575,904404,351996,-1,418499,-1,-1,-1,686519,-1,-1,-1,825247,892558,68185,168438,-1,569436,-1,464206,908963,-1,-1,-1,-1,124064,-1,681909,-1,936428,398486,-1,-1,497170,220191,231537,-1,916046,316351,-1,-1,-1,-1,-1,319687,-1,14399,437212,209934,-1,-1,445344,347263,-1,392551,-1,116129,437445,-1,-1,613685,-1,515159,568909,692499,-1,484510,333057,360172,-1,-1,-1,53079,815983,-1,256104,914878,-1,714323,-1,-1,68605,941896,881696,942313,-1,707727,-1,-1,974572,-1,-1,228806,-1,397330,841653,-1,-1,-1,-1,738191,-1,335937,-1,-1,-1,456475,-1,946364,835460,-1,-1,-1,-1,338395,-1,-1,641045,-1,890281,-1,-1,194850,-1,675263,328930,199963,-1,-1,-1,-1,-1,-1,143711,-1,-1,-1,-1,-1,672571,32617,420897,-1,810182,-1,882978,989780,723253,-1,525203,-1,-1,715803,-1,272927,460362,-1,411117,-1,906600,-1,-1,-1,129891,249414,-1,107923,-1,814167,-1,-1,462304,-1,-1,854971,-1,-1,717778,-1,298870,-1,-1,818326,-1,93882,-1,-1,313597,951410,988199,-1,140593,996687,569272,430802,513561,720728,-1,259244,246593,12267,-1,946316,-1,437770,39657,-1,26090,98242,-1,-1,-1,-1,-1,218751,742974,275657,42871,973194,-1,591910,-1,482890,-1,719448,617025,995684,-1,123321,-1,361791,-1,618209,-1,286226,814571,390916,-1,-1,5910,934074,-1,-1,-1,-1,571232,-1,31598,222401,-1,153622,-1,-1,691728,476666,549886,273472,-1,-1,-1,648515,280682,533691,-1,584608,-1,432280,-1,-1,-1,769725,-1,-1,241844,494239,259403,29549,-1,-1,-1,411722,582646,331534,724213,-1,10304,-1,697038,-1,-1,-1,603383,-1,-1,821049,116458,-1,108658,-1,-1,-1,9612,214826,-1,865217,-1,-1,-1,609608,286941,466522,915105,253523,135674,-1,-1,719666,-1,-1,598224,779394,-1,-1,-1,474952,110460,-1,-1,-1,-1,793981,187229,-1,379934,-1,679793,825034,-1,478868,-1,490474,175424,-1,-1,-1,901409,697017,290949,27991,121836,776411,75467,389574,-1,-1,-1,407146,-1,-1,317541,414798,37090,-1,-1,388497,448939,-1,297731,919129,631451,-1,707606,449670,518985,-1,805897,829940,-1,388840,681798,-1,744228,-1,499264,-1,-1,-1,-1,638989,81245,-1,267611,-1,627860,-1,835434,876998,228896,389668,731494,337011,598422,-1,969360,-1,-1,827714,748166,-1,-1,764451,739506,-1,-1,598494,-1,-1,-1,-1,6743,776827,879142,142719,567466,871205,660895,333485,-1,6191,914513,708260,-1,-1,-1,-1,-1,905336,-1,578871,-1,931411,336105,896909,-1,43016,-1,-1,-1,-1,294647,-1,676850,347956,730378,-1,799890,-1,-1,528749,892018,-1,-1,109920,-1,824579,-1,685066,-1,-1,-1,689802,-1,851315,-1,55131,921618,384116,574459,-1,461590,-1,260334,-1,424273,499241,-1,914839,388554,-1,-1,358979,-1,910549,-1,41451,32244,-1,-1,130120,944882,382908,-1,-1,-1,154079,345793,-1,122458,602029,-1,-1,706109,-1,-1,754458,975449,312770,372080,-1,617543,141875,560041,667838,392253,-1,766500,84127,-1,377616,260845,317329,-1,-1,763671,-1,764325,257069,-1,-1,67999,-1,781422,48391,-1,281096,-1,119166,-1,-1,91388,987025,-1,583267,-1,70818,759319,81845,502600,233948,523025,-1,-1,-1,133768,956108,-1,-1,401114,-1,508950,568255,-1,844638,-1,-1,-1,-1,887721,116811,-1,62005,259542,97126,746363,-1,-1,-1,-1,191414,-1,100216,-1,-1,-1,107911,-1,-1,-1,244926,635613,401738,-1,-1,-1,637770,-1,-1,126553,-1,-1,-1,-1,-1,-1,-1,462560,-1,-1,812450,162780,461895,-1,609796,-1,298100,-1,181847,427070,-1,925267,-1,-1,-1,719821,-1,442061,300680,829932,-1,-1,170731,295967,707321,-1,-1,151830,305273,522990,-1,-1,-1,-1,303350,-1,632878,233396,601471,11745,981412,-1,-1,-1,696852,-1,893135,-1,23996,907445,673906,-1,538261,178791,994756,228042,-1,868599,446370,700324,-1,889654,381111,892312,844068,999626,-1,578123,-1,998843,-1,-1,-1,66703,-1,701520,-1,-1,951084,-1,-1,-1,-1,-1,162182,332963,-1,186009,793428,282831,-1,297316,932432,845285,-1,-1,860705,-1,840543,-1,-1,864567,-1,468746,172750,539812,-1,-1,-1,13913,-1,970949,523574,-1,381722,337093,664413,434654,283153,512633,994052,-1,579264,112749,-1,-1,868891,-1,-1,511995,820239,-1,217362,-1,63364,631165,3382,731348,-1,689943,-1,-1,-1,-1,979610,-1,59310,523495,515463,-1,-1,332015,-1,459583,597229,592752,-1,-1,354856,579270,546217,990746,667143,-1,-1,-1,575391,618852,-1,-1,861065,-1,-1,-1,405499,-1,743389,98703,200106,882051,516345,469003,-1,-1,854460,-1,26240,894477,-1,-1,209550,123169,769578,550487,-1,748548,-1,-1,669549,990068,925495,530348,-1,321958,-1,114248,-1,-1,190600,-1,313450,633633,-1,670487,-1,196317,665396,-1,-1,52443,14509,-1,490703,-1,-1,-1,-1,400380,-1,62237,255210,866438,360852,783192,383842,-1,-1,-1,-1,-1,969342,604706,158824,59256,-1,-1,2905,550691,-1,-1,809582,-1,-1,376350,854851,-1,-1,61953,775076,752731,-1,-1,998837,288286,-1,417794,414520,-1,777190,-1,542569,-1,911610,384728,-1,724238,698990,-1,274008,812322,-1,-1,603099,274053,425261,673442,-1,556197,-1,-1,96224,-1,-1,673266,-1,-1,272416,746533,619105,-1,-1,-1,393635,227752,818788,420924,946209,-1,-1,-1,217434,-1,446510,54349,650987,-1,272800,653391,261193,898549,-1,-1,-1,492713,910747,278510,-1,283550,906000,561005,356493,-1,-1,-1,570701,-1,-1,-1,102094,-1,-1,478669,-1,956927,109423,539666,16174,592281,-1,-1,-1,571058,711124,165748,122134,-1,772916,356735,802061,-1,731993,-1,36280,-1,168823,-1,910081,-1,107871,130982,-1,-1,133543,-1,-1,-1,-1,207409,-1,-1,-1,-1,833291,-1,293445,-1,703749,20653,-1,576099,-1,-1,-1,376626,-1,-1,657509,948559,-1,-1,428670,559844,27358,567508,321591,-1,-1,151794,663467,479068,-1,167883,217445,821461,773597,265837,-1,66375,-1,300696,-1,-1,808092,840450,-1,82980,-1,-1,665509,689684,392059,-1,-1,-1,303879,-1,869727,-1,249164,931504,371914,138205,908032,390925,-1,870079,-1,-1,-1,362916,-1,720725,-1,-1,507894,468836,-1,264315,-1,8225,-1,-1,-1,-1,773188,-1,481072,270941,314727,651412,-1,-1,-1,927189,588227,557139,-1,290415,571644,605020,703140,793907,544407,826493,-1,975424,335489,725897,-1,561442,-1,536513,-1,-1,-1,-1,-1,572719,199658,-1,128628,-1,-1,-1,-1,-1,209380,130976,215720,630518,697258,-1,-1,172061,-1,545164,-1,-1,812567,601040,-1,-1,458841,-1,-1,28219,-1,-1,-1,121198,253148,804897,265085,277732,72427,-1,-1,473299,678850,-1,233569,-1,169928,-1,-1,207368,251459,814143,148029,-1,-1,-1,753337,17086,-1,-1,-1,-1,-1,486442,-1,173060,457458,-1,-1,571677,322532,717602,106009,932031,956687,-1,-1,74514,-1,-1,246791,-1,-1,558556,747741,-1,-1,-1,523796,321459,686036,-1,975164,319381,-1,620932,-1,326461,317251,-1,538570,462139,-1,-1,-1,487769,-1,-1,-1,782781,-1,-1,-1,800715,367729,-1,131227,-1,713118,323319,-1,772289,697998,24349,898420,762648,-1,-1,-1,19901,-1,-1,258962,-1,679975,-1,264278,75111,-1,152921,-1,346745,436862,-1,782591,-1,367326,-1,7334,337562,387957,427925,-1,916521,498470,-1,-1,902686,-1,-1,-1,-1,817943,-1,561657,-1,664257,959464,144228,-1,36307,728841,408907,748679,398978,-1,-1,569489,910415,567229,-1,-1,932029,-1,422448,-1,296397,263333,280838,-1,-1,322894,-1,-1,-1,-1,723916,-1,-1,-1,162190,-1,-1,-1,-1,257764,-1,951095,-1,-1,-1,389553,-1,-1,-1,960763,-1,946112,-1,16287,-1,983348,-1,442164,-1,-1,-1,899278,-1,-1,965500,329320,-1,443868,-1,342494,159744,-1,833794,-1,552316,847188,-1,881885,753840,-1,635926,110647,417053,-1,860529,147670,890888,992713,-1,-1,-1,749864,569143,896340,-1,-1,-1,-1,356655,-1,-1,-1,-1,527212,-1,881212,-1,-1,793956,916883,285317,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,950985,-1,69862,210899,160542,955484,562839,285815,-1,-1,519370,-1,25529,-1,360772,390070,-1,189097,487143,-1,763123,440181,11063,-1,730012,-1,-1,738107,464273,112363,-1,299331,53647,234443,-1,48645,330927,-1,-1,-1,451914,755021,677057,115016,832572,17738,721925,910300,853413,772005,-1,703786,-1,-1,303029,-1,206335,-1,-1,-1,-1,-1,165599,-1,-1,175929,-1,814355,-1,9803,598153,143720,-1,496594,985292,-1,454143,814272,284856,302951,604320,-1,-1,-1,755694,-1,541390,-1,-1,-1,519668,-1,-1,-1,-1,-1,-1,324674,671290,-1,-1,-1,-1,146166,-1,-1,90233,488591,-1,-1,-1,848075,-1,293803,-1,-1,-1,-1,914110,163033,341426,-1,-1,219979,-1,-1,-1,967112,102680,-1,-1,-1,805061,-1,-1,-1,371901,259352,20345,782108,858241,532618,-1,516138,-1,-1,-1,-1,-1,946355,152619,-1,17781,-1,-1,-1,-1,721073,-1,969348,-1,-1,-1,930772,4307,852390,-1,686126,624660,-1,323399,-1,63617,-1,-1,846697,946069,-1,858611,467824,-1,972546,-1,189692,168954,21501,-1,452386,821357,873574,2160,-1,-1,-1,-1,-1,595879,825053,975887,559015,-1,-1,-1,60015,-1,-1,-1,951571,548079,-1,-1,-1,99955,336725,-1,-1,-1,627002,934389,-1,858000,522196,-1,-1,-1,-1,-1,-1,325660,-1,167586,-1,-1,498861,-1,-1,901059,-1,309781,-1,-1,970607,887613,475457,-1,955804,-1,-1,493082,-1,284954,787336,-1,891517,-1,-1,-1,875394,-1,28453,104891,235,-1,479406,-1,731003,72955,-1,-1,527400,-1,-1,-1,354407,715499,649642,-1,-1,-1,262060,173208,289176,701140,-1,747017,103104,689770,120095,-1,629520,877595,718561,818205,-1,417875,255046,-1,269904,512432,837504,186784,251965,371319,-1,936327,-1,-1,559586,53818,-1,446323,-1,-1,-1,-1,-1,979915,-1,4683,-1,-1,430134,357231,28315,-1,-1,921798,-1,-1,810723,129321,-1,932856,143922,369353,-1,338102,-1,-1,755496,535898,72862,-1,194258,-1,-1,869553,805511,-1,-1,19465,204008,459168,388266,997560,-1,-1,150097,-1,-1,-1,179633,392541,566290,486785,794665,16441,-1,626615,508329,11486,351864,421139,-1,-1,-1,-1,857604,-1,749866,469317,771598,-1,678919,-1,-1,-1,-1,-1,100960,479831,-1,46361,999182,709547,27945,-1,-1,-1,-1,510394,39864,261536,-1,-1,-1,390675,-1,856585,-1,972492,65883,640121,-1,-1,388879,361861,691210,463422,725340,-1,405763,-1,523597,-1,46912,-1,-1,-1,-1,-1,-1,298794,678158,668035,415958,-1,33367,-1,-1,-1,-1,-1,43146,750986,350387,60958,-1,-1,488138,816437,763518,-1,473629,-1,-1,-1,325122,-1,36205,-1,396218,-1,-1,-1,674826,-1,614333,-1,30439,570054,964430,-1,78501,-1,-1,910449,-1,924068,-1,193458,835977,582154,731435,-1,207133,-1,-1,-1,-1,753119,-1,607282,-1,-1,-1,97693,523362,-1,357763,505327,244742,546213,622197,-1,-1,13077,203728,664898,-1,349401,138775,-1,-1,249643,673319,375229,907467,-1,133967,-1,-1,-1,-1,-1,-1,406603,428906,591701,-1,301275,-1,891449,295075,-1,509250,966744,-1,-1,696186,-1,-1,753062,-1,838218,89860,-1,902673,584155,136762,618089,13764,801130,307209,80825,748890,476569,223441,-1,759761,-1,901729,243856,840405,-1,-1,-1,-1,-1,-1,508567,996375,914473,-1,-1,-1,306085,-1,202930,-1,397577,-1,656617,892816,510538,73263,-1,-1,350307,413664,856583,858580,-1,-1,-1,-1,899919,283319,189980,958798,3202,584185,476457,-1,-1,78732,97179,-1,499101,-1,248599,790679,-1,563647,500498,442418,-1,803098,-1,431408,-1,424385,-1,-1,441058,-1,-1,859675,784006,-1,49718,300636,974230,206345,-1,382411,317873,-1,591881,-1,689166,-1,986072,-1,-1,-1,277224,52406,399650,-1,905686,524771,992105,-1,-1,747104,-1,517827,453569,-1,109258,-1,77424,193866,-1,-1,104095,288458,-1,345950,993056,-1,58384,-1,211185,482267,-1,727747,-1,504369,-1,-1,-1,174156,21910,106181,-1,-1,597199,133416,-1,-1,-1,-1,214591,-1,-1,302240,-1,616842,420135,676948,-1,950949,-1,-1,-1,-1,-1,912082,-1,819709,329624,-1,423214,-1,-1,992903,-1,652966,665116,306922,-1,341201,-1,-1,977948,-1,631763,708243,80266,-1,667167,791808,-1,419771,-1,112078,-1,8571,757383,-1,537751,-1,-1,851971,174906,540172,97329,555033,22292,-1,615064,62739,-1,580236,-1,-1,831314,339867,-1,-1,839456,636505,116986,-1,-1,-1,-1,-1,-1,-1,-1,939171,-1,840324,-1,-1,296337,884017,-1,-1,831065,-1,30998,-1,-1,-1,207040,479006,866362,366051,940653,985017,-1,495597,-1,-1,-1,981343,-1,-1,-1,-1,526687,-1,452759,705751,756337,-1,-1,175404,217308,-1,4111,526263,980368,-1,-1,241117,198946,925318,471522,-1,594152,21,450014,-1,923771,-1,-1,217056,893397,-1,47864,-1,-1,-1,-1,-1,-1,535034,417952,-1,-1,-1,238975,-1,919256,654629,220410,-1,-1,850779,-1,705637,-1,235749,-1,536519,640863,-1,-1,-1,-1,391918,-1,-1,382969,-1,-1,-1,534991,-1,-1,-1,-1,-1,-1,523828,-1,341063,-1,-1,129147,188644,-1,988472,747251,-1,868763,-1,-1,-1,177732,603760,935648,-1,-1,-1,639309,189356,568210,-1,176231,-1,-1,266385,930917,202875,-1,-1,149694,383470,-1,983088,452516,298922,534544,394986,-1,-1,-1,373663,-1,217217,-1,417224,207456,-1,-1,-1,-1,-1,839511,-1,207565,935572,-1,-1,342866,559116,-1,-1,-1,570347,-1,827716,753718,-1,-1,-1,215435,-1,-1,285201,-1,570441,578894,-1,-1,-1,-1,-1,215529,520459,-1,-1,577679,-1,-1,-1,135248,372936,-1,-1,522852,338904,-1,107999,-1,70573,-1,314009,-1,22679,351720,412654,-1,160248,-1,-1,-1,439398,40013,-1,288688,-1,130138,-1,-1,876291,-1,-1,913805,208861,-1,-1,-1,-1,165857,694859,616896,-1,983230,-1,113531,363597,591981,-1,527153,4293,-1,-1,-1,-1,913041,43166,-1,859005,555551,-1,-1,558762,79366,-1,32489,-1,520640,-1,-1,509794,-1,-1,744637,600963,832792,864700,763639,-1,800594,543842,217902,974624,-1,940206,998900,-1,-1,507915,-1,551618,422283,-1,951862,-1,483498,198877,710777,219487,291847,-1,833553,-1,-1,993983,-1,364839,-1,260638,157502,-1,-1,-1,423955,181605,475996,136890,-1,644242,572876,609039,984800,438611,-1,376332,31910,511092,-1,792864,810164,42021,-1,646074,-1,-1,394363,-1,-1,410039,-1,39468,290293,-1,-1,-1,-1,-1,-1,-1,225634,-1,-1,-1,-1,754972,-1,823559,-1,959880,-1,-1,287302,528457,-1,-1,590731,-1,165121,-1,-1,693679,-1,924148,-1,-1,-1,751573,-1,605009,-1,440235,216226,335955,664841,662711,868342,-1,760194,-1,467070,-1,636637,-1,276929,-1,-1,979365,-1,-1,418435,998617,-1,421279,-1,-1,718238,-1,-1,-1,485788,-1,300151,583136,-1,-1,835594,-1,-1,78825,133139,176455,593625,263396,-1,-1,558071,874221,-1,-1,-1,-1,820621,593849,-1,-1,604234,-1,955341,267127,331377,-1,308677,-1,425619,183889,-1,-1,8219,-1,-1,825423,838417,-1,397972,255390,-1,747269,-1,-1,-1,-1,188331,-1,2530,-1,-1,-1,-1,387265,-1,-1,502020,-1,77662,96971,-1,-1,-1,-1,708081,-1,-1,160947,277013,-1,-1,-1,809544,-1,738280,681590,-1,172506,-1,-1,-1,599349,3115,918952,379880,-1,-1,-1,201055,-1,160659,693029,202822,-1,35778,-1,719555,-1,-1,44642,673951,-1,394114,1991,-1,659549,-1,784257,-1,633943,669541,-1,-1,-1,-1,112331,231592,-1,-1,-1,-1,-1,249743,683234,-1,-1,-1,-1,-1,-1,289448,-1,-1,-1,109884,-1,-1,999351,-1,-1,392555,538991,-1,72751,-1,-1,715807,414457,367333,-1,-1,939515,118049,-1,551576,-1,483387,77356,-1,-1,-1,961971,291372,-1,-1,15061,-1,-1,506536,-1,-1,-1,-1,-1,-1,-1,180373,-1,366009,539845,-1,519383,-1,19391,-1,-1,-1,199393,-1,260801,62620,265975,-1,-1,229144,541522,-1,556133,238015,123700,69663,989638,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,509001,-1,-1,-1,342403,227453,-1,416063,932160,-1,230932,538737,-1,517202,488999,-1,462374,656689,756891,-1,204231,963211,-1,172280,85082,-1,-1,-1,-1,-1,193859,948899,748650,-1,-1,266810,-1,392537,25356,-1,808630,-1,861419,206432,-1,519955,912795,-1,367566,364508,-1,544839,630208,725268,364095,354778,899849,149269,635268,605753,-1,-1,-1,-1,430814,-1,-1,56415,-1,660692,-1,357238,-1,360103,-1,717547,785276,-1,-1,-1,-1,-1,-1,771235,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,972816,-1,-1,445538,-1,-1,-1,383949,-1,-1,726768,-1,657730,865705,173351,-1,-1,309099,-1,413628,-1,576325,-1,-1,-1,564659,720453,832025,-1,593255,-1,-1,-1,353948,141224,-1,436577,-1,349445,-1,-1,721745,97280,777711,728339,-1,-1,416248,-1,-1,-1,-1,363854,-1,769408,-1,-1,-1,-1,541766,166911,245935,-1,133479,-1,409995,430312,906491,-1,781061,-1,285945,-1,-1,537753,914992,-1,396941,27795,365603,465612,871441,650247,-1,940132,-1,-1,590492,810979,723428,-1,-1,-1,-1,-1,721775,69272,-1,760606,258006,-1,-1,-1,735537,-1,50214,-1,676028,380619,72257,530114,-1,-1,869093,973947,-1,-1,-1,591350,-1,604365,-1,-1,587677,-1,-1,942547,733912,-1,643653,-1,-1,977856,-1,594831,-1,-1,906020,-1,-1,-1,-1,411645,624272,-1,163096,-1,-1,-1,-1,-1,-1,972793,-1,403771,854919,-1,-1,-1,-1,-1,-1,-1,-1,781442,579871,-1,-1,-1,505452,-1,-1,-1,-1,589247,-1,112827,970576,202464,-1,-1,491888,-1,660187,793476,-1,-1,-1,187469,854149,446133,-1,970500,232507,109554,-1,-1,-1,-1,770563,868192,428713,-1,783439,-1,-1,509952,485486,388287,-1,-1,-1,-1,-1,-1,-1,-1,122081,18484,-1,355097,-1,-1,588664,178513,794151,776746,-1,301455,65692,257613,271871,-1,742405,-1,757446,512561,-1,83710,-1,713139,813388,317145,-1,591452,94109,-1,145131,580643,-1,409357,-1,-1,814781,400767,63850,750807,271747,-1,54698,667416,-1,-1,-1,-1,-1,400414,774272,-1,340879,62996,-1,304143,-1,-1,716218,-1,-1,-1,-1,-1,151178,563337,696464,671421,-1,166149,188899,-1,747451,932116,-1,26045,-1,-1,-1,-1,979654,853786,-1,-1,783701,-1,269505,200320,-1,-1,771391,33361,145965,990073,762684,446578,-1,-1,55027,330535,-1,933918,940092,744592,-1,-1,-1,978801,-1,658962,-1,273895,-1,-1,-1,62552,-1,-1,-1,-1,832067,-1,267972,-1,791163,-1,225662,-1,-1,-1,958957,447249,892864,783921,-1,30847,112147,301780,507280,540778,-1,841156,-1,576406,-1,260005,420437,589922,249094,-1,693290,160670,822347,-1,-1,988224,-1,-1,-1,641357,-1,342867,-1,-1,-1,-1,-1,-1,-1,-1,-1,120305,158981,-1,-1,-1,-1,470908,469720,-1,-1,-1,773685,759616,692452,721805,86721,671296,-1,354635,187404,736712,-1,170346,633517,972819,-1,-1,740032,-1,-1,-1,442334,399512,-1,678210,647546,-1,700961,-1,106622,820202,-1,-1,47156,-1,561402,-1,-1,63466,266829,801020,464475,294594,64691,-1,562242,-1,80050,-1,563760,566875,-1,319345,229155,601659,-1,635392,837250,-1,-1,448940,-1,-1,-1,898683,-1,-1,-1,123102,359821,-1,-1,178134,203829,-1,-1,-1,-1,890040,-1,-1,-1,417856,122926,756818,-1,-1,436595,-1,805607,-1,-1,-1,254411,257515,354202,10020,-1,998493,-1,-1,-1,-1,-1,-1,-1,364047,412363,945482,-1,-1,-1,-1,-1,664604,216586,95982,867203,826055,78299,282542,-1,-1,252717,-1,697439,408346,-1,978834,-1,-1,-1,-1,-1,600677,241022,-1,326178,707798,22012,96234,-1,767531,-1,712339,-1,-1,444230,-1,-1,706938,662295,-1,-1,188112,140797,-1,-1,622612,523407,-1,425,59065,-1,-1,-1,610960,224365,-1,670940,12118,657307,514606,704437,844423,-1,703488,-1,688077,406170,-1,-1,9297,801674,-1,-1,-1,962305,-1,-1,-1,542730,-1,206482,-1,851079,-1,505153,-1,6622,136738,381396,-1,-1,-1,480150,-1,688677,279206,-1,-1,472752,989070,920018,766023,414193,785685,-1,-1,421556,64256,597492,-1,740592,-1,487493,548946,-1,916173,322696,110707,615685,186414,440370,-1,-1,161044,287022,-1,617337,635535,653259,-1,603903,803660,360388,686132,-1,838006,518543,142820,525785,453938,-1,117485,750816,770520,509928,802498,658461,923839,-1,780253,-1,903395,699989,-1,-1,-1,-1,600833,-1,-1,289573,-1,-1,231565,462420,-1,-1,-1,-1,-1,-1,121629,-1,168683,912863,830740,-1,88271,-1,-1,635091,-1,805905,-1,622621,985427,-1,942566,-1,960242,-1,675403,618413,-1,-1,588212,573639,-1,-1,-1,579502,820667,337159,973818,499491,36982,353323,-1,956737,-1,318968,487750,-1,-1,12370,-1,513731,-1,415587,617660,-1,-1,-1,756440,-1,759971,-1,785510,-1,-1,555272,-1,-1,411377,25680,241525,431351,197786,-1,-1,619469,261137,-1,-1,-1,-1,186410,520492,830131,-1,-1,210459,-1,914117,358367,570861,648369,289189,-1,232197,-1,961833,-1,-1,-1,-1,-1,118587,128669,-1,-1,921448,-1,-1,-1,938244,976088,525916,-1,-1,176391,742475,187580,371724,736654,743424,719761,514295,-1,-1,798213,984335,661217,-1,-1,-1,734558,864531,431505,299227,-1,308628,277704,-1,241152,35422,-1,548631,-1,950373,-1,-1,28626,-1,763387,501743,817473,-1,-1,596860,573377,14105,-1,-1,-1,-1,-1,803511,-1,852671,-1,-1,708113,947214,-1,-1,504747,67954,-1,-1,-1,816080,672955,-1,944045,-1,58328,761973,-1,-1,-1,989819,21027,-1,572900,9244,373591,272409,80931,633931,-1,29650,-1,-1,221324,-1,-1,22573,-1,286059,-1,-1,81776,-1,-1,-1,-1,882183,875224,-1,-1,-1,495006,956845,482566,981106,573936,436219,-1,-1,905683,597725,-1,-1,358145,-1,774170,897674,329929,786053,-1,955122,-1,-1,185953,-1,338340,101879,272392,-1,-1,-1,-1,890754,-1,551590,-1,-1,176487,-1,-1,416648,-1,-1,64776,58984,-1,-1,-1,-1,-1,-1,-1,739585,3503,-1,285470,-1,346273,-1,125046,-1,899914,-1,621417,-1,796145,943338,-1,662715,659109,800757,-1,-1,-1,-1,663260,-1,429899,-1,664028,-1,248074,213120,-1,233926,-1,267934,-1,330463,717652,-1,832956,841985,818333,-1,-1,693189,463619,973522,-1,822210,-1,-1,778886,-1,601650,-1,438012,443587,-1,255575,507781,-1,-1,-1,280065,-1,-1,280472,787873,-1,10537,-1,700639,-1,660619,516531,211587,545213,808360,678915,-1,-1,-1,-1,840670,728069,248326,793791,-1,67993,-1,-1,349268,980730,908862,772081,200023,129317,778708,969033,741430,-1,675240,-1,-1,687343,-1,868412,29618,-1,-1,-1,730737,972477,-1,75048,184011,534546,157622,-1,-1,-1,-1,268166,-1,-1,-1,-1,-1,-1,-1,-1,-1,531691,-1,-1,-1,-1,-1,-1,238530,624477,-1,-1,130694,154764,-1,381709,-1,298537,153416,395294,870858,-1,677994,583956,910881,180462,799048,858041,365899,751156,-1,-1,889975,-1,90927,-1,-1,350786,899243,875403,-1,804086,698140,-1,-1,-1,-1,573399,-1,9973,-1,-1,11949,998094,-1,446659,-1,541895,-1,-1,-1,-1,-1,868836,649501,-1,-1,604840,756225,420105,884203,694030,222530,-1,-1,-1,-1,13984,875733,-1,321799,842306,815233,233842,-1,215827,-1,248712,-1,843040,-1,-1,991298,901894,268414,440283,-1,-1,336349,-1,507433,-1,116904,-1,229701,-1,-1,10146,465722,723352,-1,-1,753164,-1,-1,593678,-1,221710,294016,-1,458064,-1,740055,832866,184721,269436,-1,-1,-1,-1,-1,-1,380423,496285,683335,-1,-1,913424,686344,-1,689372,373206,-1,-1,-1,466899,-1,-1,521779,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,475354,-1,-1,-1,50684,205535,224881,-1,-1,869506,-1,-1,-1,-1,945822,-1,-1,890134,-1,839631,655236,-1,-1,-1,424731,-1,-1,556131,4463,284682,-1,76045,99472,-1,435026,622971,573142,246425,-1,-1,-1,81222,-1,197552,-1,-1,347006,-1,-1,-1,-1,950689,402184,-1,479350,297920,-1,262974,-1,-1,881105,-1,-1,199010,-1,68446,896560,129428,256844,-1,-1,-1,-1,593490,666994,674432,613698,936547,658678,-1,939740,-1,330883,683982,-1,190414,-1,827415,505421,72981,-1,101911,-1,272575,344510,425748,81742,365325,-1,522327,532377,96148,75700,-1,200130,-1,-1,-1,806465,-1,-1,-1,543496,783764,-1,-1,-1,617902,431000,577119,198122,339242,-1,725713,990311,359055,-1,963713,-1,-1,793336,-1,757749,-1,962425,-1,-1,-1,-1,71541,-1,447122,-1,893367,828886,846346,321671,-1,-1,395681,-1,-1,-1,-1,923303,-1,-1,-1,950871,542809,23397,-1,797614,-1,497311,578692,-1,6339,243474,929455,827845,463161,-1,636212,-1,590472,67308,41437,525098,-1,239657,259016,983505,-1,-1,560850,491154,480135,940045,218821,-1,90588,-1,-1,-1,-1,-1,789920,-1,-1,58457,240426,827724,-1,-1,-1,674614,-1,-1,-1,-1,405937,786291,342706,875161,940791,749519,108287,357558,-1,-1,-1,73389,401929,-1,563050,-1,-1,-1,-1,-1,-1,-1,-1,181797,-1,312873,651719,178935,-1,-1,-1,-1,-1,-1,826115,-1,672773,835787,565443,-1,-1,675109,-1,-1,509175,-1,-1,768671,97228,478517,-1,976855,177766,357109,395260,520302,-1,-1,200078,98794,-1,-1,-1,19325,-1,33585,517641,-1,194331,-1,-1,467913,597111,-1,334229,778011,634364,105689,874442,774134,-1,336898,753976,90254,-1,-1,81471,-1,-1,-1,663775,887797,-1,149551,-1,681559,-1,-1,38665,-1,998006,-1,-1,-1,625079,596241,476139,-1,814733,-1,840403,845779,-1,526489,398079,940980,431514,-1,-1,531738,-1,-1,-1,-1,477294,-1,-1,-1,-1,946786,825634,306569,502696,800751,402198,-1,-1,-1,832788,-1,455460,-1,610532,926730,-1,665834,-1,31247,132697,-1,-1,-1,-1,-1,-1,-1,67149,818550,473711,-1,-1,426765,-1,881393,424716,-1,342264,-1,511411,716421,-1,941482,914139,-1,961878,-1,-1,600566,86216,506797,-1,564000,198187,394070,-1,507039,-1,-1,-1,-1,-1,967375,449944,754295,114310,-1,-1,326736,591986,-1,-1,-1,326140,38213,115969,-1,439606,396710,-1,543313,-1,-1,154422,824456,-1,-1,-1,-1,-1,-1,-1,196820,208773,438704,-1,892889,-1,-1,-1,575508,396671,-1,121985,-1,768960,311658,783351,563553,544277,458783,-1,-1,40823,377406,-1,761505,-1,454361,-1,120824,154257,212183,391128,-1,946557,124696,-1,850265,-1,-1,880324,636599,639670,148245,-1,-1,764765,-1,117175,-1,-1,-1,754369,-1,667670,981566,-1,999697,-1,-1,-1,847607,-1,-1,734571,546658,-1,-1,754866,379836,-1,-1,-1,288401,-1,82227,664950,698664,-1,233833,242775,816503,338764,537182,-1,598250,-1,-1,586272,-1,-1,428004,330261,224519,922978,972880,-1,365530,70110,186484,661295,196928,-1,961828,-1,-1,-1,737183,-1,969160,41446,371705,823767,-1,-1,299704,840217,133317,126658,631637,-1,649635,171695,81737,910689,-1,-1,-1,196315,365967,-1,-1,753725,-1,794875,-1,9052,932499,-1,115240,989280,-1,799107,-1,-1,459372,-1,-1,-1,-1,-1,32404,77037,104083,380652,166156,-1,272180,-1,20479,759439,-1,544960,-1,483258,-1,-1,65013,-1,-1,433641,711058,677786,-1,210870,-1,863127,-1,-1,-1,911829,-1,-1,-1,29493,358316,599422,738775,616174,-1,203288,18184,294548,-1,-1,348430,868391,5984,677636,-1,-1,-1,374132,-1,-1,-1,-1,-1,-1,-1,-1,511763,-1,479508,-1,-1,-1,479682,-1,654285,113171,325525,-1,-1,-1,176438,-1,471130,-1,-1,833242,340350,-1,565308,-1,-1,137460,148389,241417,832343,-1,-1,274677,436904,-1,826525,889497,198823,-1,177653,183017,817286,-1,-1,-1,-1,-1,767711,-1,-1,-1,292552,-1,810786,238664,-1,-1,630452,-1,937505,554705,759592,-1,-1,-1,45778,-1,-1,-1,-1,-1,-1,-1,200943,435665,-1,-1,-1,-1,364767,89878,729904,-1,793613,194530,-1,31015,659646,-1,397965,-1,-1,-1,475689,795454,58472,31632,920385,790571,-1,-1,-1,-1,-1,-1,10832,154681,-1,83956,-1,742266,-1,160628,275347,-1,-1,-1,-1,-1,-1,-1,452291,760733,-1,-1,546885,337975,-1,71784,-1,-1,-1,-1,908704,-1,559057,-1,94228,140665,921050,-1,848453,-1,30850,141290,670730,665592,993215,-1,-1,283506,-1,781658,615677,618001,-1,-1,-1,663634,-1,975250,701600,-1,758218,127631,-1,-1,-1,-1,-1,697329,-1,-1,-1,198579,-1,-1,682511,870059,-1,-1,836111,-1,831318,-1,580718,-1,-1,-1,-1,610506,755791,531465,591979,44389,346631,-1,786552,138843,198708,-1,766601,-1,-1,-1,569967,93139,797830,685375,59786,-1,258469,509889,-1,-1,-1,-1,-1,-1,-1,-1,304176,-1,-1,618453,-1,-1,-1,-1,639512,-1,316104,785938,-1,374381,-1,-1,72314,185030,10343,-1,-1,535490,981574,77733,543811,600233,-1,-1,-1,752630,-1,-1,-1,-1,-1,-1,742268,-1,-1,-1,-1,-1,843680,-1,-1,986669,433269,-1,-1,746804,870191,-1,-1,-1,429395,-1,-1,596833,608170,395356,-1,820323,709619,996550,-1,911432,-1,474587,-1,-1,-1,683275,312114,-1,-1,197539,964727,819827,815542,-1,299876,584454,568840,-1,-1,426260,-1,-1,698772,-1,373197,84199,106921,952584,56287,991671,440777,131145,958591,-1,447101,-1,-1,56054,-1,-1,313714,-1,909042,-1,-1,609270,-1,-1,-1,-1,301847,292896,-1,187216,-1,876527,-1,-1,112611,-1,395957,-1,90311,-1,-1,-1,-1,739749,-1,-1,311510,-1,908364,385588,-1,-1,-1,-1,105986,507506,-1,-1,924973,-1,532614,-1,168974,337469,-1,-1,-1,939368,163944,-1,712768,847134,816299,-1,-1,-1,439140,-1,392766,-1,407557,-1,941038,226816,362965,189315,-1,655436,-1,101173,-1,243097,-1,-1,-1,-1,875862,-1,-1,-1,977703,-1,-1,-1,462842,96605,957096,-1,100484,-1,-1,53829,-1,-1,294583,-1,674740,706584,282970,862006,984938,173712,-1,-1,557198,200858,-1,-1,380981,-1,-1,231333,-1,482944,778248,-1,-1,-1,-1,-1,604461,-1,-1,-1,830805,-1,-1,-1,-1,910380,920163,-1,-1,567405,-1,724420,228890,-1,-1,-1,993187,-1,-1,-1,-1,434283,-1,867191,-1,98826,-1,995969,528247,-1,386262,496467,546563,-1,-1,443069,342701,-1,428953,908411,-1,-1,-1,-1,862343,491251,137475,-1,-1,-1,-1,949853,579461,102028,713272,-1,467462,-1,-1,-1,452319,-1,917757,-1,-1,961066,-1,-1,-1,750500,590424,618884,50529,-1,197346,-1,27452,758442,454661,-1,-1,585093,-1,-1,543305,195911,-1,369914,-1,-1,387931,536217,-1,734024,-1,-1,-1,-1,950749,-1,353093,-1,-1,-1,328041,609151,229457,454854,-1,-1,306348,254932,-1,657854,959637,125141,286775,315133,-1,536227,549459,-1,754954,378471,-1,-1,335625,-1,7453,699092,761668,762218,483564,-1,-1,921184,-1,986940,-1,-1,-1,-1,-1,414029,366819,975727,176103,-1,-1,401613,446838,562762,50379,265056,-1,66588,-1,-1,-1,-1,-1,332067,-1,-1,688014,579154,-1,-1,662216,789631,-1,884949,-1,442593,-1,445278,536498,166035,829108,958564,-1,-1,513205,816154,896060,-1,882244,-1,-1,-1,-1,-1,632193,-1,-1,242512,-1,-1,362157,-1,10645,-1,334864,-1,666769,-1,184394,-1,-1,320651,67492,-1,932249,882873,-1,-1,-1,465485,797836,-1,-1,-1,-1,-1,190401,-1,-1,-1,-1,-1,576149,631105,-1,9146,977977,-1,380122,717694,454960,892171,-1,-1,-1,-1,-1,887254,-1,205686,-1,560775,-1,-1,-1,6859,248178,297681,-1,-1,-1,801481,226868,-1,-1,252203,-1,-1,928279,264022,-1,-1,869775,-1,909209,20945,-1,507574,549861,230736,-1,-1,-1,-1,-1,-1,-1,-1,-1,488830,-1,704274,463185,614179,153543,669402,458313,694236,780917,-1,-1,973427,-1,-1,675007,-1,-1,-1,329913,94627,-1,-1,698349,-1,698580,-1,226688,-1,-1,847823,-1,246489,792748,-1,487548,462387,-1,494870,985928,833845,-1,-1,835639,-1,-1,37917,727546,385264,22119,-1,-1,675095,171010,-1,698486,-1,886334,903654,311351,-1,-1,678133,-1,167037,-1,657558,385743,49632,391992,96199,-1,975647,877169,-1,458948,-1,-1,-1,-1,-1,-1,361771,396897,111537,387146,444442,-1,894955,94349,782941,-1,-1,699008,947101,268921,-1,-1,547389,767443,201571,-1,-1,-1,-1,89850,-1,-1,-1,583868,-1,-1,-1,404929,981394,-1,-1,567489,-1,-1,921418,-1,536322,86154,-1,132870,-1,-1,532134,252175,-1,536436,827916,178995,-1,562485,-1,277741,-1,957297,826897,96332,886937,55906,-1,-1,-1,101089,622490,851054,-1,-1,245908,-1,-1,705142,885804,671804,-1,-1,547341,36240,-1,601562,-1,538047,400384,-1,-1,-1,-1,293736,-1,-1,-1,921293,814809,769329,-1,-1,156903,698111,978607,-1,904292,573482,-1,-1,210486,131283,637741,199203,707589,-1,-1,-1,152942,863228,949723,459341,-1,-1,782805,-1,260311,-1,-1,49341,69761,63176,-1,67697,-1,932332,875797,-1,-1,-1,-1,556342,-1,504227,279437,560408,670282,-1,-1,-1,-1,177476,975980,-1,-1,-1,-1,893973,708636,-1,-1,-1,708224,-1,401972,316338,775508,107808,449339,365535,704386,-1,-1,-1,-1,-1,-1,995569,607857,481337,999343,887085,-1,636590,-1,540497,-1,269692,337190,184677,-1,718328,800771,-1,-1,211227,133138,-1,-1,-1,-1,-1,-1,-1,407738,538441,138847,703407,56853,-1,494832,202288,-1,971836,-1,223309,-1,-1,-1,512173,891967,-1,853521,364430,426834,-1,969166,-1,541221,-1,-1,-1,-1,-1,-1,-1,36369,-1,522582,597989,-1,950300,988366,336285,140248,-1,347550,-1,90644,-1,324022,801694,-1,-1,-1,200586,-1,-1,-1,524525,-1,-1,25539,732875,699113,-1,509189,544769,-1,596331,85928,859685,-1,623982,-1,912442,508180,229196,671696,-1,810515,222334,660644,-1,-1,194744,790950,-1,6511,-1,-1,145341,843034,978514,948371,-1,-1,-1,-1,-1,515922,-1,-1,-1,-1,-1,-1,100799,271321,-1,971350,-1,31891,-1,-1,-1,199120,-1,-1,249097,-1,-1,-1,-1,-1,-1,-1,628000,494982,709784,-1,-1,-1,952837,-1,-1,-1,-1,-1,737016,-1,294020,-1,603774,-1,-1,670362,-1,-1,423794,-1,637099,-1,429926,585721,-1,826441,-1,-1,-1,-1,392740,-1,519785,183635,-1,390066,-1,920548,131829,-1,21834,-1,943672,196567,-1,481767,-1,-1,869134,-1,377808,592671,642903,533054,-1,-1,667019,395978,582885,-1,254148,174846,-1,-1,-1,-1,-1,-1,997142,802954,1555,-1,-1,-1,-1,-1,833585,-1,-1,-1,-1,974150,36319,-1,660286,855187,87608,-1,-1,-1,642576,280697,746791,416303,839342,932545,-1,781608,-1,-1,-1,717945,-1,-1,-1,791691,203409,-1,-1,454248,744183,-1,-1,-1,-1,-1,612121,-1,-1,800369,605221,953098,598829,-1,537082,491280,-1,-1,-1,289457,-1,-1,624575,734387,799984,-1,818048,665534,-1,-1,211807,210045,791843,-1,456253,313940,536894,397770,-1,-1,-1,318195,-1,787284,-1,-1,543188,817806,126635,-1,-1,382300,-1,-1,-1,-1,-1,990664,492122,-1,147358,558785,858325,-1,114268,-1,-1,362203,165495,-1,473872,-1,-1,87281,-1,333264,-1,-1,462790,375225,183605,837163,509807,-1,-1,-1,-1,816626,526023,-1,375679,814507,-1,934921,-1,-1,-1,-1,-1,-1,867098,-1,286352,3179,499176,-1,-1,-1,-1,-1,-1,532596,93519,333232,-1,-1,124756,797129,743884,652353,631149,984025,-1,817982,629975,393020,873192,276757,51531,935209,-1,-1,-1,982255,-1,358927,948719,-1,-1,-1,247521,35223,24171,-1,41115,298162,758783,157856,-1,-1,-1,630126,-1,316581,696437,-1,-1,701429,40203,963537,-1,713868,456464,290243,933484,189018,-1,-1,705455,-1,-1,596304,453854,-1,-1,238164,837442,219570,-1,254075,199410,426275,-1,-1,187172,-1,292170,-1,641617,-1,558693,758216,565346,3787,210606,-1,178109,-1,551688,79104,-1,986308,163430,740209,3412,624342,-1,-1,-1,364393,-1,362538,240947,399054,-1,-1,129228,-1,625726,-1,-1,-1,-1,730272,-1,558176,-1,-1,-1,-1,-1,156563,227176,283670,793508,-1,16707,456361,-1,953092,158837,28643,-1,883221,-1,672678,-1,-1,-1,138101,-1,-1,-1,-1,837837,673042,146734,-1,-1,-1,-1,-1,-1,-1,-1,-1,317490,-1,-1,-1,-1,-1,-1,-1,674946,-1,953812,-1,620705,379650,606935,-1,580573,-1,-1,-1,-1,194186,435009,-1,-1,-1,646802,-1,-1,830324,518238,-1,476698,872661,729668,-1,66980,262936,-1,-1,-1,-1,-1,917185,-1,-1,872651,-1,-1,-1,259811,-1,692612,86791,928917,-1,-1,-1,-1,848093,-1,957696,-1,-1,-1,-1,443646,-1,352434,546884,651755,-1,-1,-1,50140,743956,-1,200783,190005,-1,-1,-1,-1,100576,-1,648368,-1,-1,-1,648682,665734,334414,-1,-1,482572,-1,254293,-1,-1,-1,-1,34152,-1,-1,146631,-1,237235,-1,-1,-1,-1,117344,491069,527738,388420,-1,-1,-1,434867,-1,227165,-1,-1,93929,-1,686122,-1,-1,78041,-1,-1,-1,538121,-1,165961,-1,864999,440132,201324,-1,863656,-1,-1,-1,179256,-1,986867,540210,-1,-1,-1,356061,975953,268464,-1,-1,-1,-1,98481,-1,308143,292272,-1,391437,-1,836108,331326,744235,-1,-1,64028,-1,990773,457581,-1,-1,895050,874350,-1,536290,504268,312709,-1,338120,56319,434211,239037,-1,343240,445427,384086,-1,-1,713594,269191,869055,-1,517465,194510,247413,800602,152658,402151,-1,787996,-1,-1,-1,316036,840764,-1,351718,-1,649419,-1,723576,-1,867137,176936,-1,660940,-1,956924,-1,-1,-1,758474,-1,176105,516194,-1,-1,-1,-1,112981,589060,-1,861730,14628,826413,433291,-1,-1,501630,-1,-1,959592,-1,728834,189821,424692,-1,-1,-1,837191,-1,282408,577585,739884,642322,558833,323410,118286,-1,-1,518418,408116,-1,879648,-1,-1,-1,-1,217185,-1,-1,-1,-1,-1,-1,485671,691323,-1,-1,-1,851385,893327,-1,-1,-1,-1,-1,384962,-1,515020,-1,469826,-1,-1,711003,-1,346888,-1,-1,901063,-1,782788,622695,-1,-1,581213,-1,556872,120235,-1,269111,-1,506031,-1,-1,-1,-1,-1,141134,-1,-1,119845,-1,294938,-1,943475,2768,490203,-1,397928,896669,649623,116999,572605,458418,-1,-1,979027,405353,305837,-1,584990,318431,712709,872633,36974,-1,123884,-1,-1,-1,459827,-1,372000,15238,41975,-1,-1,-1,-1,-1,603802,-1,-1,273629,-1,420782,190146,148695,-1,-1,533557,-1,-1,-1,-1,-1,33692,-1,871453,9056,7036,539255,411264,-1,-1,587104,-1,33229,-1,726995,-1,-1,-1,75430,-1,-1,430324,620748,-1,484684,224728,-1,-1,-1,500540,-1,997256,-1,752256,-1,246974,-1,-1,252435,608538,-1,-1,76396,680914,165739,224739,771229,-1,-1,-1,-1,-1,811042,803215,240707,917924,195538,-1,523140,-1,568467,-1,877424,-1,-1,-1,880958,278025,874333,952121,755138,354974,-1,345325,605823,-1,-1,960331,136410,-1,52891,212845,-1,-1,-1,818625,256313,-1,682162,-1,309137,-1,-1,385640,-1,450528,-1,726658,915776,-1,377318,853721,-1,878545,-1,-1,-1,27582,-1,35066,579997,962035,-1,-1,321217,-1,240102,-1,223006,-1,70161,-1,-1,-1,372335,848619,184213,-1,-1,181512,682063,422320,-1,-1,-1,-1,265776,289343,877896,-1,-1,863433,706939,-1,-1,312821,363565,-1,375448,-1,1434,451057,-1,-1,640351,46572,10206,152612,-1,281509,-1,241671,-1,481873,574067,-1,-1,-1,-1,-1,-1,-1,384671,-1,-1,18382,-1,-1,-1,81581,-1,962858,-1,-1,786449,120590,-1,13983,-1,523955,803112,-1,306615,-1,-1,431252,668738,980465,-1,-1,-1,734679,-1,572757,-1,750809,-1,654552,-1,-1,-1,290655,983839,729051,407227,-1,945420,-1,-1,-1,-1,-1,-1,475865,-1,-1,542359,-1,977921,-1,961634,29982,548743,-1,936740,458893,-1,141575,905396,-1,-1,-1,-1,133695,664198,-1,156897,54074,942070,108853,-1,293495,-1,476243,-1,759672,-1,-1,-1,489352,583348,391748,170293,-1,731227,284867,-1,-1,380676,-1,-1,-1,-1,808790,402883,-1,528420,-1,548555,737716,633620,-1,-1,-1,599247,-1,-1,278986,-1,473863,-1,-1,-1,-1,303737,-1,-1,864379,185251,93320,239894,56485,917566,-1,-1,318089,157032,-1,394180,504429,-1,-1,524408,242388,-1,-1,67413,529454,-1,-1,-1,-1,-1,54445,428068,523024,-1,845123,540424,603724,-1,997106,612589,-1,827093,-1,22960,-1,815605,166252,-1,-1,-1,880603,877889,977635,427952,893632,-1,613464,-1,731128,221733,154614,-1,-1,296989,-1,516918,988435,283823,-1,754254,-1,-1,610957,-1,-1,-1,886354,788716,-1,-1,367197,669172,526999,-1,450870,-1,-1,583523,-1,935778,-1,-1,890646,553696,399143,-1,691126,811211,-1,-1,-1,75437,593030,-1,937254,343597,425580,-1,-1,-1,-1,92452,42751,-1,717418,-1,-1,-1,639674,-1,-1,140596,-1,-1,177702,418813,468349,601107,-1,720698,172283,-1,77293,-1,944757,540747,-1,-1,-1,544509,690018,851962,86716,-1,973643,741655,419972,297900,127154,-1,32726,302783,-1,-1,-1,765753,-1,492116,-1,101674,-1,-1,665648,-1,-1,567465,-1,-1,240573,-1,-1,-1,-1,-1,-1,910762,897749,-1,-1,164403,915477,-1,-1,-1,181583,-1,-1,564882,529973,-1,-1,-1,-1,-1,-1,-1,-1,432822,288698,-1,-1,222887,-1,333396,296093,-1,-1,716931,-1,-1,556238,-1,748956,176655,602132,850448,-1,-1,-1,-1,-1,-1,-1,-1,558989,-1,-1,-1,-1,740634,947891,724600,-1,-1,-1,-1,760419,-1,-1,166502,-1,43103,668490,-1,203623,698552,790499,-1,439138,-1,238719,-1,305523,-1,898198,882176,840753,605864,-1,-1,900390,315422,-1,-1,-1,475514,-1,723489,-1,-1,67658,-1,-1,-1,978474,-1,-1,336462,541093,-1,614379,662876,-1,-1,329677,36267,-1,486357,57020,-1,155436,761332,969564,-1,-1,889522,-1,521992,669765,-1,664000,86142,712378,-1,-1,147698,457482,291048,-1,70931,349537,-1,627833,283262,-1,905537,-1,208831,-1,404767,320837,911675,-1,93564,257135,890947,-1,730339,790121,-1,823199,-1,961080,130027,863978,84002,224562,523770,-1,224629,883280,-1,222953,732610,384897,-1,-1,95727,-1,141514,-1,906885,879224,-1,259371,-1,-1,183874,787709,142514,978905,355137,126336,-1,334521,-1,437013,-1,797907,-1,691200,328712,605210,-1,266225,-1,254288,-1,333605,-1,433124,-1,-1,-1,-1,-1,115639,925261,135900,-1,-1,-1,707555,-1,-1,458038,837977,161670,117342,753309,247921,489495,799604,-1,-1,169066,180585,-1,-1,-1,-1,-1,661072,240918,-1,-1,370647,121611,-1,78106,-1,141369,201767,-1,-1,-1,932712,-1,857232,963386,346644,36096,-1,945551,521650,-1,-1,592550,365973,920555,687189,423773,644639,-1,263099,655178,656807,990089,-1,-1,-1,704859,-1,210414,-1,-1,688352,159572,-1,769636,-1,914611,-1,112579,818347,260350,-1,750973,642003,-1,130819,-1,-1,-1,533232,-1,237518,-1,-1,-1,257462,433403,418888,-1,866180,876363,76448,-1,733176,981815,-1,-1,744354,-1,-1,-1,-1,239904,-1,833570,-1,-1,102764,-1,827751,-1,-1,-1,771646,180309,-1,171020,233169,-1,811740,774220,540337,633083,-1,569830,943876,105395,501137,-1,-1,-1,178712,790640,760140,-1,-1,-1,360632,338420,606848,784143,-1,-1,-1,972719,-1,35057,-1,-1,-1,893067,18078,616813,-1,-1,-1,-1,-1,357970,756174,104071,-1,940028,-1,-1,997767,-1,-1,353725,728150,-1,-1,-1,-1,594501,121364,-1,764782,215661,749146,508823,-1,-1,807237,-1,-1,571787,-1,878450,63195,-1,-1,331025,405391,977225,-1,-1,947125,858879,371706,617579,873777,209058,-1,656385,239245,-1,319864,-1,735681,-1,621401,596288,-1,-1,342407,924750,-1,-1,567747,421812,-1,467073,785431,824479,333358,673411,-1,193448,222687,-1,256252,-1,-1,-1,-1,765108,761835,-1,-1,517652,-1,379978,611782,998373,-1,640495,114964,819918,-1,385786,-1,-1,853429,999815,448670,-1,-1,593283,730560,391707,20794,748967,244514,702175,207774,857951,799374,50270,-1,25858,-1,-1,660330,993457,300543,911030,-1,197861,-1,561679,-1,-1,944722,850833,-1,863147,212355,92254,-1,-1,397764,-1,-1,334152,-1,817929,-1,-1,-1,-1,782683,441011,-1,199707,944940,-1,142256,-1,-1,740410,-1,-1,872913,637066,154425,-1,281007,948418,237236,-1,-1,799494,329006,-1,773716,-1,961462,-1,-1,-1,-1,709757,567021,636362,-1,-1,-1,-1,821742,-1,109732,347809,-1,-1,-1,75412,-1,192309,386129,736653,669304,509553,105740,-1,123305,268535,432376,383175,-1,-1,507606,222083,595193,-1,73082,449090,-1,769731,216093,351615,-1,669617,-1,217531,-1,-1,972658,137540,-1,11709,634580,79578,454366,-1,-1,-1,176162,-1,-1,-1,-1,145349,621749,-1,559985,-1,-1,-1,523528,-1,-1,-1,-1,851645,-1,297266,584020,-1,-1,114857,605785,397309,-1,-1,-1,16398,-1,-1,553656,-1,-1,-1,-1,-1,-1,-1,84484,871713,-1,590559,-1,125480,807070,127900,-1,-1,491402,682886,321409,-1,817494,-1,873229,550676,846309,-1,-1,-1,-1,-1,531087,102082,-1,211889,52359,-1,251946,-1,-1,-1,398791,-1,478196,-1,-1,-1,-1,733174,-1,-1,553260,-1,638506,-1,-1,-1,-1,451619,141641,-1,-1,-1,27664,-1,826566,335990,49730,585111,-1,970024,-1,16149,-1,-1,-1,-1,-1,688632,162245,420189,-1,-1,-1,79991,-1,890779,994561,-1,-1,895976,686728,-1,273726,132864,993349,-1,301749,394472,366517,570193,-1,-1,627480,-1,389257,635863,700965,-1,230796,-1,711567,-1,455633,299602,243091,-1,-1,-1,40052,-1,976212,-1,-1,476015,233626,-1,-1,-1,-1,-1,-1,554238,-1,810742,-1,-1,-1,106325,408173,-1,766660,463606,868673,-1,207907,-1,976408,671129,-1,798249,-1,-1,528434,-1,516903,677191,-1,931364,-1,-1,692597,-1,747042,914606,-1,-1,443922,108478,-1,-1,-1,-1,-1,-1,973311,-1,737317,-1,200660,488972,935948,651156,624551,57361,-1,-1,-1,-1,-1,820564,-1,766742,-1,-1,486587,-1,762075,879358,-1,513251,-1,549057,610545,-1,902648,-1,572746,169544,-1,-1,-1,815119,-1,968065,-1,576837,425285,-1,498689,525013,24340,710408,221338,-1,846117,-1,294630,-1,230747,427905,-1,943406,690737,204935,-1,-1,430597,877911,964953,699524,-1,969009,871903,785304,-1,508949,965978,-1,451686,443914,620321,-1,-1,-1,858035,218770,350830,-1,281698,299188,-1,-1,-1,418409,-1,-1,124834,-1,-1,-1,-1,-1,-1,751659,-1,-1,702153,-1,276198,694883,-1,237782,808218,-1,548383,27461,302464,-1,560595,535519,-1,-1,242886,95100,-1,-1,-1,812495,-1,-1,-1,268857,-1,357237,256197,908345,731054,176999,-1,11383,343000,-1,213373,-1,380695,958201,860221,-1,4499,666183,-1,544261,-1,329364,-1,81786,-1,-1,-1,-1,-1,553089,-1,-1,970899,-1,683034,113919,9906,-1,865190,-1,552396,296963,326911,-1,37743,783952,600107,-1,-1,677777,-1,-1,203398,-1,-1,-1,-1,183953,-1,-1,-1,441854,-1,-1,526781,272549,979238,395723,-1,-1,922388,-1,272826,777245,-1,46824,201651,-1,667853,-1,330476,69327,-1,285360,47701,867701,-1,348489,979349,-1,-1,-1,-1,658733,819240,834256,-1,-1,704815,-1,944660,-1,-1,468557,597495,-1,931007,-1,464840,-1,567738,893730,20566,-1,943850,-1,779372,655089,717131,623458,479571,-1,919380,567478,-1,-1,-1,462224,538831,500153,257231,895667,305851,309606,-1,719984,-1,124423,-1,963304,-1,-1,-1,-1,907915,324073,977481,36101,-1,-1,-1,-1,818236,426411,560706,-1,-1,553068,-1,-1,994842,-1,495358,43844,-1,960484,-1,517953,-1,148712,384115,-1,159345,919761,162779,-1,209717,-1,171465,875346,35773,265061,939751,251259,344287,-1,-1,560531,-1,248308,-1,-1,-1,201578,218446,-1,533982,-1,-1,577364,145123,103516,-1,658718,913049,909737,224611,-1,667553,-1,972543,-1,784672,626076,-1,-1,-1,-1,-1,984422,-1,-1,-1,5996,203269,-1,-1,-1,-1,706721,677227,-1,-1,-1,-1,-1,42326,801467,566185,507066,-1,242642,315696,897001,555067,-1,-1,710611,225779,496020,14733,741887,-1,280231,-1,-1,-1,605656,-1,-1,214308,720730,447996,-1,-1,-1,-1,-1,-1,879389,-1,-1,787054,-1,180471,-1,35008,498949,-1,235640,-1,532862,968818,-1,845594,5024,479221,-1,962567,-1,-1,-1,-1,539107,-1,-1,-1,-1,332590,851354,412765,-1,-1,339519,-1,-1,-1,890969,996712,230513,346869,-1,255719,858396,-1,691145,800718,283796,715611,219141,-1,839021,891918,-1,-1,-1,679150,-1,630753,-1,938133,-1,82322,-1,437835,-1,-1,726167,169350,700576,87750,-1,497049,-1,286733,-1,-1,48063,315270,-1,404308,-1,377761,6019,906590,861633,-1,886676,801655,-1,290939,-1,-1,216563,117980,-1,-1,139290,125798,-1,822069,58932,-1,536320,-1,919989,-1,115582,-1,-1,826022,705890,947812,-1,-1,-1,496396,-1,-1,-1,301675,556509,940348,-1,-1,313734,192632,891748,207806,858889,-1,-1,704231,350505,-1,-1,25743,494649,-1,-1,744873,316318,-1,380068,781019,746004,167204,-1,-1,739781,-1,220887,763407,-1,-1,328755,10614,911648,-1,737954,-1,715112,-1,-1,275263,301855,620743,-1,592192,-1,-1,-1,416059,-1,63185,-1,632076,410518,320569,180603,-1,-1,985946,612711,-1,377055,572849,329566,145240,191825,790297,504474,-1,761255,-1,-1,944919,-1,713864,-1,-1,-1,-1,-1,-1,-1,-1,565999,489243,-1,109551,63043,-1,-1,749268,680386,637689,232012,-1,-1,292811,-1,-1,-1,449405,-1,-1,561196,501278,-1,139555,742888,-1,231715,-1,522557,-1,399242,280317,441028,557098,726309,748908,320320,-1,-1,-1,561132,-1,96180,357317,97707,897419,436916,703679,250669,-1,-1,814915,-1,-1,-1,-1,667999,-1,-1,-1,-1,-1,-1,-1,521495,921283,929322,-1,662670,784148,-1,893787,-1,22604,922424,525019,-1,186835,589976,315329,780890,-1,-1,-1,-1,-1,863359,767364,-1,686616,-1,944057,-1,-1,179453,-1,90908,464802,863237,76936,91345,-1,-1,-1,-1,-1,53876,48863,671339,487253,-1,-1,501655,-1,373620,-1,129011,390909,600578,440942,446045,62623,-1,-1,372546,79115,-1,185208,-1,-1,518045,513816,-1,804881,-1,169901,161740,441487,35707,210881,381072,856587,800812,-1,409129,-1,-1,742036,862158,-1,-1,613733,256905,874,250137,-1,-1,-1,-1,635635,509803,-1,809989,592558,-1,662621,796421,685963,102108,-1,516298,-1,81646,-1,445301,209267,655828,-1,56632,629243,-1,697029,-1,426763,-1,504168,978108,-1,-1,39495,-1,706972,774255,-1,611033,-1,485368,862849,-1,171235,-1,477892,-1,-1,522762,707152,-1,255496,808839,-1,-1,60945,-1,950281,57016,-1,916726,961983,652658,527351,208785,58557,-1,507748,-1,-1,47810,-1,-1,-1,-1,30821,154821,-1,-1,-1,187096,-1,250604,996694,947867,666527,512652,-1,-1,517498,-1,-1,-1,439458,655159,-1,258323,-1,291063,-1,-1,-1,592323,917342,-1,-1,-1,528923,-1,-1,435285,665319,-1,324565,112249,-1,623771,270640,-1,774382,-1,419288,-1,-1,419003,304716,785724,-1,-1,-1,-1,-1,759544,517601,254460,780737,-1,-1,-1,484997,955624,443111,771139,811773,-1,-1,543548,38140,839736,-1,-1,-1,846813,-1,-1,-1,-1,937452,371442,223818,951688,-1,758043,39013,902206,801746,-1,302057,-1,-1,571621,-1,227226,410282,949384,-1,756616,272756,394634,-1,-1,546215,89358,795062,-1,-1,460560,-1,-1,-1,683207,-1,118379,-1,531919,-1,630849,-1,-1,569941,297765,664814,165927,752561,-1,743003,-1,-1,-1,549620,-1,-1,16064,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,371398,382106,489660,778882,-1,-1,824145,281706,-1,-1,649415,-1,938645,-1,898479,-1,-1,-1,819280,520498,-1,-1,11923,-1,-1,-1,-1,543090,-1,-1,-1,-1,439200,-1,-1,-1,862695,633770,-1,265530,343213,-1,-1,140953,-1,221780,-1,139038,-1,635887,-1,427898,-1,-1,109595,716082,-1,-1,-1,-1,781558,-1,324830,883158,590437,-1,239357,-1,-1,-1,-1,-1,-1,148081,615454,-1,-1,325932,929445,823279,531883,26476,644282,14420,286726,790949,148150,699516,-1,711527,-1,863634,376759,924756,-1,853018,433725,-1,500585,993663,614105,153381,581999,710735,229552,-1,-1,880896,46640,221522,606007,250389,-1,-1,-1,893918,-1,229853,466857,468388,202506,407839,-1,489646,470398,-1,-1,-1,698444,-1,-1,107296,955169,252741,-1,722826,-1,404841,211642,-1,315547,670681,-1,521087,-1,551110,-1,153199,-1,-1,605055,-1,-1,-1,-1,243320,-1,-1,587920,-1,-1,325172,-1,52592,228114,-1,-1,-1,-1,22210,-1,-1,-1,-1,330876,-1,-1,87101,-1,300777,-1,478964,540645,-1,-1,-1,-1,17208,435626,592662,182527,-1,837169,813075,636074,-1,864581,933894,209170,-1,-1,525655,796513,89400,-1,358024,-1,-1,98695,-1,686764,578633,667519,524823,100983,870910,874205,143233,158697,-1,492690,212006,711905,-1,-1,670494,-1,587794,-1,-1,400906,455880,-1,312069,944659,936383,-1,690481,654985,514131,-1,-1,595715,493969,564494,196694,-1,-1,-1,965691,504629,885170,-1,-1,-1,-1,-1,-1,997356,984484,-1,44181,560757,960736,65758,569062,23959,-1,8418,-1,-1,942144,-1,-1,197848,-1,805726,701469,125041,-1,-1,845442,477970,-1,-1,368958,-1,85522,-1,371342,222474,770208,-1,-1,-1,917051,-1,-1,-1,-1,-1,744109,590293,-1,-1,717030,40800,-1,-1,780764,471018,-1,-1,-1,-1,-1,-1,513556,-1,-1,903625,493071,367685,-1,-1,113473,561072,-1,710834,-1,565471,-1,-1,-1,-1,379549,12368,348035,627253,839634,-1,86936,-1,-1,993899,-1,858776,821511,-1,174115,169158,511015,-1,-1,405732,468472,-1,-1,-1,982744,-1,839931,910270,-1,-1,696755,286395,237981,638214,495583,505063,-1,705197,395971,-1,701288,739610,-1,-1,-1,-1,82596,-1,897242,-1,-1,-1,-1,208826,-1,-1,-1,627216,769339,483893,-1,664452,98464,-1,-1,173570,614478,-1,72628,396787,-1,117314,-1,-1,601242,-1,825733,-1,893062,707134,438376,696276,-1,998164,-1,267028,-1,-1,221980,663263,-1,5324,259637,938417,259337,755631,707276,497548,-1,-1,-1,-1,161638,715040,-1,-1,251524,239140,965982,138823,547775,451837,-1,-1,-1,394336,-1,416891,-1,608408,168659,465668,186262,909927,210246,973042,-1,-1,905971,850007,673133,-1,-1,964939,-1,466762,271977,-1,44122,40120,717144,-1,930061,-1,-1,-1,228905,804679,947430,926991,-1,-1,-1,-1,549340,-1,-1,-1,-1,713003,132901,525866,798937,448986,-1,424729,-1,267246,772392,-1,-1,683998,-1,-1,-1,-1,-1,644634,252397,657344,529928,-1,312161,-1,-1,-1,-1,-1,933330,-1,128005,-1,-1,856093,-1,58537,870748,939673,601488,-1,-1,875112,-1,-1,801880,-1,554374,-1,-1,571314,982742,192051,818941,-1,820328,535997,31087,-1,657313,-1,545926,-1,246273,-1,578946,-1,-1,180602,226268,963663,303099,-1,20769,-1,964187,887383,-1,-1,356713,529440,-1,-1,-1,-1,501545,-1,-1,233591,-1,-1,396681,67631,-1,-1,423769,-1,250391,-1,522534,-1,-1,-1,469011,-1,-1,-1,122042,339787,-1,271102,14720,-1,751505,220850,-1,-1,-1,-1,788180,-1,983785,-1,578146,913252,-1,965725,-1,766747,545055,-1,-1,-1,967027,747696,-1,-1,665502,-1,-1,41820,843074,-1,-1,605533,63454,-1,930660,194470,-1,-1,935516,896313,-1,842671,-1,-1,465526,351770,536354,162486,-1,114791,-1,-1,-1,-1,-1,-1,-1,9543,-1,-1,316112,-1,-1,890419,234754,-1,392434,-1,751671,798039,-1,-1,44028,-1,-1,-1,385575,387768,281048,-1,949079,-1,532805,-1,-1,-1,402265,-1,841678,380022,-1,778294,451442,-1,-1,395604,-1,-1,435455,111621,-1,-1,-1,-1,-1,-1,271253,-1,859144,-1,-1,557505,-1,-1,477270,256976,-1,847294,-1,558715,132525,465850,-1,674258,-1,595541,-1,757939,-1,-1,-1,483185,-1,511548,649762,-1,361146,-1,-1,-1,773955,-1,-1,714457,13168,369267,758798,615250,-1,852880,-1,-1,-1,-1,-1,959629,-1,562124,-1,984837,549988,586000,266752,-1,-1,-1,437254,-1,-1,28540,484497,588676,-1,954726,153419,-1,-1,94726,873322,801348,-1,417080,-1,-1,843821,-1,-1,-1,-1,762247,492953,316913,-1,-1,-1,80671,267683,902580,310807,240070,-1,851293,-1,-1,301600,735475,381978,898542,-1,535193,178177,214357,680351,-1,-1,-1,822513,-1,540944,453525,636053,-1,580917,-1,-1,-1,871940,-1,-1,303176,-1,335234,-1,621832,199948,558454,517364,959558,101012,692878,481082,-1,76287,-1,865503,548985,382463,874770,111664,-1,-1,363928,467413,895081,-1,-1,5790,-1,-1,995609,289504,-1,-1,-1,-1,-1,-1,-1,209599,614293,568245,-1,493999,-1,-1,-1,370994,-1,451777,165983,-1,829098,434921,-1,685870,-1,887155,-1,-1,896328,680822,999432,-1,7016,83227,329116,-1,-1,826629,-1,839124,210750,-1,907945,587064,-1,-1,-1,-1,351131,381496,-1,-1,-1,-1,-1,432606,378141,176389,-1,949434,690983,-1,591426,905841,87248,109273,429562,-1,-1,-1,-1,-1,14006,645569,-1,210923,-1,780585,-1,565176,-1,-1,-1,-1,-1,515151,701041,344520,-1,359992,-1,-1,-1,382311,-1,-1,-1,883353,-1,-1,-1,-1,-1,119021,-1,837158,344919,323675,-1,210011,-1,435172,-1,653837,473262,194656,-1,845995,913786,851589,-1,563347,-1,826074,-1,-1,572435,124035,-1,297715,-1,761320,-1,-1,825494,364394,776841,-1,-1,-1,105606,765782,-1,91228,954424,52419,715690,393344,-1,917447,-1,300957,280367,725695,-1,78455,320840,863880,-1,-1,-1,995985,327165,-1,-1,209489,-1,603508,430119,-1,-1,-1,-1,239326,580451,710852,-1,-1,781919,913827,139877,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,175910,167638,-1,414079,-1,-1,-1,66297,212176,984987,-1,-1,166758,843710,-1,919576,80936,259906,-1,-1,765939,779165,122355,622867,976192,709680,-1,311787,677463,11746,-1,485153,187584,970769,256524,845222,524147,82739,820228,-1,-1,664475,362133,-1,-1,275996,840404,-1,-1,615137,266543,-1,-1,997084,-1,204977,766814,-1,423288,362966,-1,895376,-1,942025,-1,-1,-1,476166,-1,-1,159904,-1,-1,-1,453841,378197,254646,396790,177908,265616,-1,214843,-1,677539,-1,-1,225526,-1,-1,980586,-1,-1,-1,-1,986109,455153,-1,173474,-1,881755,-1,-1,75263,843586,183886,599038,725147,-1,709693,745070,200449,371871,88980,-1,-1,-1,403768,547783,635516,-1,362729,-1,101004,-1,-1,407578,894815,655583,808259,-1,-1,973221,75066,-1,293635,-1,949941,926902,420319,439718,-1,-1,86335,-1,220198,-1,473204,-1,521060,285556,10782,37634,-1,549293,308003,891258,-1,-1,-1,157696,992021,-1,423710,112009,6643,-1,221741,-1,-1,-1,851141,486568,746687,93058,343058,-1,323233,-1,-1,322183,-1,61092,236492,-1,-1,466342,-1,709677,-1,-1,-1,556618,-1,-1,54099,-1,-1,990993,341362,-1,288234,695,718251,567317,-1,250018,650302,-1,785225,186509,611566,347100,-1,-1,133008,599758,680055,659217,428862,816654,-1,718046,167396,77889,-1,-1,-1,322666,-1,627778,438486,-1,-1,-1,280708,-1,883653,816878,440713,494868,-1,-1,840312,-1,432048,54999,770097,810259,790761,-1,877816,-1,369471,-1,-1,888023,673215,489277,-1,903051,-1,712319,-1,-1,-1,890451,330497,-1,17590,-1,846753,-1,400314,-1,743640,-1,-1,-1,-1,-1,160799,-1,156307,700033,-1,-1,972969,933201,-1,-1,913844,-1,424087,-1,908686,539841,753613,-1,-1,-1,376184,-1,557596,-1,379525,296432,646522,-1,702481,-1,-1,451703,-1,-1,867386,-1,749767,-1,-1,-1,911612,-1,477886,140894,206068,-1,660865,653981,-1,-1,23503,-1,71625,-1,326564,-1,-1,619603,612180,753703,462626,71439,405300,535923,-1,77161,70282,167865,789485,692987,-1,49092,91014,-1,916140,77241,-1,974313,-1,414024,560362,-1,-1,684244,52729,-1,-1,754818,309700,799454,-1,-1,-1,102103,-1,-1,750503,598550,-1,-1,-1,431402,-1,-1,341513,-1,-1,-1,695665,-1,530467,-1,-1,159808,737487,181381,280269,-1,82093,-1,912532,-1,-1,-1,-1,-1,38667,-1,40057,-1,-1,74631,28920,846118,584228,-1,248228,-1,582201,-1,148981,572870,-1,893462,-1,-1,829398,-1,586818,77252,895791,-1,-1,788221,850052,751744,164092,-1,493534,-1,-1,728429,822713,902058,-1,574158,-1,175784,688775,-1,623674,270211,197061,749376,975745,-1,786668,-1,723096,157833,576644,700217,522518,281771,-1,-1,833407,-1,-1,693143,220044,971583,115471,-1,956515,827886,377479,939704,142782,412205,515169,377949,-1,-1,-1,19842,835194,-1,784890,649322,114938,784439,-1,-1,-1,495827,95621,-1,-1,594047,134973,362020,-1,-1,939030,-1,733512,941031,-1,689574,-1,570056,-1,-1,653296,-1,-1,-1,159888,-1,736665,-1,-1,907885,114050,-1,299624,-1,-1,-1,-1,825304,-1,-1,-1,-1,378630,467680,918644,710353,793691,697730,367104,976340,856395,879277,362831,-1,743120,937957,313357,98796,102196,-1,-1,-1,100923,41454,684061,642555,-1,-1,-1,-1,-1,-1,888133,-1,-1,-1,403500,-1,-1,397061,192270,-1,-1,333669,160563,-1,941559,398101,679536,446744,179687,-1,686682,857182,655848,732926,-1,347169,-1,786096,-1,-1,-1,-1,818225,-1,-1,770980,446849,-1,830793,970054,354171,-1,-1,610415,268504,-1,574728,-1,959572,-1,-1,205589,164685,870432,113660,-1,-1,876344,-1,547842,897450,995172,776150,-1,-1,-1,-1,-1,479151,350725,-1,-1,-1,481797,41245,-1,-1,-1,572430,177927,-1,516413,660864,566094,-1,-1,-1,74276,-1,-1,446880,-1,-1,217523,236414,-1,52331,-1,-1,-1,-1,197137,-1,293366,-1,-1,770569,751640,22901,948546,-1,-1,-1,542603,-1,-1,949311,-1,228631,-1,52567,110715,-1,96205,-1,37264,600189,837420,-1,760673,5730,397400,-1,-1,122563,-1,915159,-1,-1,-1,853452,219451,133478,-1,-1,417126,-1,-1,-1,869508,-1,-1,597708,-1,221659,-1,-1,361165,494744,-1,604341,-1,-1,944361,-1,-1,-1,-1,81861,67888,456040,277262,-1,980464,-1,706204,397918,-1,-1,311880,-1,9606,-1,594069,-1,987581,-1,923229,934659,-1,-1,986055,880171,-1,868,-1,-1,-1,844921,8181,-1,-1,-1,-1,600361,-1,870440,-1,-1,-1,-1,489642,-1,308148,108110,-1,935700,-1,917359,-1,-1,-1,945292,-1,-1,568505,205890,686851,-1,-1,-1,-1,394854,-1,-1,605641,-1,524836,482116,-1,853288,-1,401006,76700,-1,-1,-1,-1,-1,231045,-1,171780,-1,-1,-1,-1,453222,500918,274855,853230,-1,-1,-1,-1,316697,-1,-1,-1,-1,511699,-1,874726,384028,-1,-1,367773,-1,-1,638752,721090,-1,-1,155921,887051,195198,-1,-1,137573,178042,-1,-1,298825,107777,-1,221603,-1,-1,-1,-1,-1,-1,844780,61930,-1,356269,-1,-1,-1,159360,862157,743077,-1,991494,-1,-1,-1,-1,-1,354771,-1,138066,-1,-1,-1,913022,-1,78440,264618,415458,-1,397643,-1,-1,-1,-1,-1,388407,-1,31393,724872,941188,231583,-1,-1,476310,156927,224125,-1,104708,-1,304576,-1,-1,-1,916712,-1,240854,361177,32369,-1,40884,534871,908763,-1,825467,864745,-1,-1,-1,701739,528453,-1,-1,-1,231731,-1,-1,-1,483495,160146,451589,964291,36692,188837,44068,-1,260418,269238,97297,13346,-1,175100,-1,306196,237643,61540,-1,702610,804431,-1,-1,865551,-1,1078,-1,-1,154193,141119,168946,552344,549723,-1,-1,417633,328191,-1,-1,564778,685431,69014,-1,159956,-1,-1,624464,974217,-1,-1,-1,891687,792836,508739,-1,347898,714743,-1,-1,-1,-1,315587,-1,-1,102138,78265,157234,-1,-1,-1,-1,-1,-1,-1,554402,-1,36749,368915,987685,238122,-1,614112,-1,-1,-1,-1,21387,32763,-1,-1,75321,290423,507000,292043,926759,126342,-1,14988,-1,-1,-1,-1,-1,224580,-1,426296,-1,431477,922312,711473,-1,194870,-1,-1,284808,-1,-1,774000,775554,-1,-1,176448,-1,956894,184715,487929,76476,895666,535069,-1,-1,825,-1,246888,818978,985357,538035,50434,247409,462737,583193,388495,-1,-1,-1,-1,76685,-1,-1,-1,-1,476348,-1,-1,-1,-1,521608,183154,-1,385376,-1,-1,610606,-1,-1,776837,-1,-1,-1,482370,832556,-1,-1,694209,-1,-1,122057,650816,-1,61588,-1,726685,-1,-1,154486,-1,671265,9785,610864,669156,-1,-1,-1,-1,70187,122914,-1,-1,435941,814406,506817,-1,389902,-1,557269,-1,454056,485958,438558,222410,-1,-1,-1,464474,-1,74799,201899,30554,-1,890166,-1,-1,212130,940725,-1,-1,654617,-1,630733,295174,-1,-1,-1,-1,556182,-1,90834,753698,992735,-1,316792,-1,-1,-1,765660,606123,-1,134588,-1,-1,471172,-1,259631,-1,313385,147654,176150,789484,961164,-1,346748,291928,-1,-1,726158,-1,909804,-1,-1,-1,-1,-1,-1,90784,-1,-1,-1,-1,308909,-1,104360,156082,532036,-1,-1,-1,-1,-1,-1,-1,-1,189372,83989,-1,-1,-1,368499,993533,-1,-1,-1,979181,636853,226137,-1,-1,-1,-1,-1,879903,-1,899583,144930,-1,-1,-1,684826,558495,305360,-1,718271,-1,-1,-1,-1,497028,-1,868947,158560,-1,321985,749294,141538,113451,46989,464903,-1,767723,330165,-1,640116,951537,893486,880585,-1,-1,-1,641781,-1,79668,731523,-1,849717,-1,-1,653828,384247,-1,437721,-1,409169,32436,166257,-1,414359,925623,729646,-1,152504,-1,-1,898088,867532,-1,278269,324648,358975,45512,-1,-1,988985,462091,-1,-1,389182,54186,447398,394785,-1,656644,611338,307446,265634,705154,-1,12593,84540,112554,-1,422236,237617,915531,910212,201706,662846,-1,165591,-1,9666,-1,-1,-1,-1,794724,65004,-1,-1,-1,-1,-1,-1,-1,688309,938819,-1,-1,-1,-1,-1,-1,559493,-1,977107,-1,43930,924480,247485,736604,-1,-1,-1,988990,690741,-1,-1,680459,599672,14162,-1,-1,905408,-1,453935,48883,984080,-1,-1,-1,577596,531729,105124,398535,770363,173597,578806,819478,881690,286514,118,874846,-1,-1,-1,705831,543367,810608,991760,330013,197197,-1,402844,351754,296751,522969,657537,714261,247086,-1,-1,-1,-1,-1,953143,586381,-1,-1,170256,-1,-1,313707,-1,868112,-1,-1,-1,274709,-1,189180,158450,-1,418627,893997,-1,-1,-1,-1,-1,576166,70680,-1,-1,25899,-1,-1,-1,-1,-1,-1,-1,-1,304461,-1,450174,716049,422258,-1,743225,-1,128270,-1,910039,776197,-1,553497,550757,294019,731758,-1,-1,-1,-1,-1,-1,714494,497316,986908,511845,-1,-1,-1,46031,-1,-1,717097,118646,778531,958342,-1,-1,195832,964157,-1,-1,-1,813302,-1,89295,371987,-1,-1,90486,-1,-1,230961,-1,398249,-1,-1,94521,-1,707165,842146,55300,908352,559931,-1,675363,-1,-1,-1,709445,701033,538569,25077,773608,-1,879565,856302,-1,261475,-1,586579,-1,696182,468081,556276,-1,-1,551961,690321,732914,485677,-1,754229,-1,-1,-1,94221,-1,-1,-1,-1,480088,466866,586836,-1,841773,-1,409443,-1,-1,-1,-1,913506,-1,-1,-1,-1,-1,599099,-1,-1,237107,690733,-1,-1,630827,-1,942071,-1,257194,35699,-1,847722,955977,-1,-1,-1,-1,-1,526943,-1,489018,-1,38575,-1,-1,-1,-1,-1,-1,801677,-1,-1,-1,-1,615776,178410,657253,197788,-1,306068,-1,271121,858883,-1,-1,611289,551318,-1,928746,399441,664805,-1,814128,117226,69486,426733,-1,139883,-1,-1,-1,-1,774301,20090,631430,680964,-1,-1,-1,965780,-1,-1,207916,-1,-1,-1,-1,477550,-1,-1,551040,-1,-1,-1,-1,380388,536256,811870,775150,-1,961739,-1,53609,410186,307647,-1,-1,-1,-1,701787,-1,-1,726034,263393,81400,-1,252043,584944,221335,137527,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,752638,280716,153117,50060,-1,518781,-1,752917,119358,-1,-1,-1,417859,-1,756335,930626,-1,771205,41682,313163,-1,-1,-1,73734,341179,-1,655414,-1,591268,-1,555619,-1,131131,-1,-1,877399,944682,869607,539447,119465,155564,-1,-1,470516,-1,279284,659295,-1,-1,-1,423482,447861,701479,869794,-1,-1,649189,-1,465587,-1,-1,890142,-1,464963,252489,479027,385024,357275,763882,-1,679251,-1,55152,-1,-1,166898,60931,-1,345168,-1,174278,-1,277018,239256,-1,870592,-1,-1,489446,190533,174811,695353,152227,-1,873052,-1,-1,384379,16234,-1,-1,602590,76672,-1,-1,861448,816698,-1,108304,950604,548333,-1,-1,309550,458391,-1,118747,-1,322747,506090,-1,406840,-1,-1,-1,599806,829113,198684,-1,431330,192103,-1,437491,-1,-1,-1,994258,-1,350146,505014,-1,608703,837658,739517,773591,631649,-1,-1,965268,624381,874735,-1,-1,754168,-1,346100,553263,-1,541198,981889,824986,-1,77052,20100,816862,849335,802827,-1,457477,941923,170251,877523,-1,-1,-1,676829,-1,-1,-1,6654,-1,-1,732404,-1,988840,862,27806,-1,615959,473691,222509,-1,562115,771123,-1,273771,602927,-1,-1,-1,660340,428453,960737,579088,517878,585220,-1,-1,-1,-1,-1,-1,-1,-1,-1,460670,299258,-1,926461,678182,914727,181854,-1,790744,420983,-1,404954,-1,-1,-1,414695,-1,-1,-1,227055,800818,-1,971545,-1,843387,-1,821817,-1,-1,-1,317990,-1,546783,643780,34654,-1,-1,491546,632199,883277,-1,-1,-1,-1,883268,-1,-1,294851,-1,557180,159608,-1,837668,-1,903406,-1,-1,-1,-1,-1,285852,-1,-1,78719,-1,-1,187532,689428,873483,207931,644755,-1,802081,-1,982419,-1,-1,-1,155840,913701,-1,-1,758556,-1,-1,977832,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,963217,708249,525626,-1,311661,-1,-1,484797,339614,-1,918335,-1,-1,240359,-1,-1,194316,-1,-1,849193,214599,745466,877256,483401,303641,944185,-1,-1,-1,986273,-1,766668,-1,-1,-1,7734,-1,-1,-1,701321,-1,-1,-1,54715,-1,-1,-1,418966,-1,208888,-1,-1,-1,-1,17907,903997,152698,618727,-1,597346,436505,554789,52175,-1,883960,943188,-1,-1,833450,-1,-1,871458,-1,661969,-1,-1,-1,-1,-1,31155,749775,-1,-1,475705,-1,205904,-1,-1,139071,-1,701059,405023,789974,-1,665164,-1,-1,-1,11115,-1,-1,27333,-1,-1,-1,-1,-1,762327,201148,758167,-1,497,-1,524277,-1,-1,-1,-1,909541,177042,-1,353719,-1,-1,428733,133995,-1,-1,-1,-1,769050,-1,-1,804060,-1,578934,-1,139563,-1,615741,87385,599132,78065,860332,-1,247863,565438,-1,-1,-1,561882,-1,228911,578561,751874,-1,-1,-1,-1,-1,748868,2580,897984,-1,174585,-1,-1,990612,126269,709878,-1,-1,794751,977689,-1,930017,820111,454997,135080,-1,-1,847655,-1,470409,-1,981483,-1,548340,590144,-1,273478,-1,19910,238053,55660,-1,461809,310343,-1,-1,-1,884567,-1,791560,906663,893180,90836,806779,528715,444155,-1,-1,959528,214451,-1,-1,-1,889437,-1,543227,15027,323750,-1,-1,-1,268751,-1,-1,66153,-1,465588,-1,-1,353497,-1,885790,429908,200697,401525,-1,-1,238222,807878,-1,-1,991442,238695,81725,-1,789388,-1,-1,-1,343049,-1,-1,857602,-1,-1,446798,434362,-1,-1,-1,989159,497604,-1,-1,171849,446296,531627,-1,-1,-1,949403,-1,839760,781005,-1,-1,102267,-1,957309,-1,-1,402609,-1,797243,675235,-1,-1,-1,137222,37655,-1,-1,282044,-1,-1,-1,-1,-1,-1,-1,-1,467008,31249,-1,707509,261083,-1,-1,62450,-1,235308,-1,-1,-1,-1,-1,58380,329755,759429,-1,-1,-1,-1,852841,24270,-1,-1,645248,635283,144141,112300,772559,-1,654347,635394,-1,737473,-1,429473,-1,-1,659407,-1,-1,-1,-1,485203,941709,599400,-1,55644,631271,-1,-1,439205,251653,63962,-1,-1,-1,-1,-1,-1,568154,470727,846116,-1,-1,964117,61587,-1,-1,-1,630966,-1,892590,-1,-1,-1,841958,504908,734432,-1,-1,754482,186470,-1,474910,382855,-1,34298,824606,-1,757878,-1,-1,-1,-1,90575,496447,591255,447258,31163,378988,-1,780456,-1,-1,631410,-1,-1,-1,633623,-1,233670,-1,776441,-1,230937,620271,977825,-1,-1,-1,68106,892459,82581,-1,999459,170769,-1,-1,691635,242314,588050,373391,865136,-1,-1,-1,220544,219817,-1,-1,-1,146905,950479,-1,-1,256400,554485,578990,-1,-1,-1,8293,387526,-1,215482,-1,292500,27269,-1,-1,234103,-1,-1,874601,-1,-1,-1,569770,-1,-1,364922,-1,339979,-1,758052,76704,876076,62542,254282,-1,795408,989494,-1,67086,167360,-1,86786,574372,744549,-1,-1,-1,648920,-1,-1,478808,-1,59097,-1,-1,631952,814095,-1,-1,-1,-1,-1,-1,845552,72033,259450,-1,-1,345478,585892,637506,603260,35536,-1,986631,-1,863850,-1,-1,-1,894942,218595,526211,-1,237183,672917,-1,242986,-1,-1,-1,-1,-1,-1,896096,-1,281439,-1,-1,-1,-1,958210,-1,-1,356686,-1,722701,-1,-1,104803,898132,-1,-1,293800,-1,-1,-1,277915,383881,43495,-1,-1,-1,-1,-1,173798,710344,121019,959862,204855,-1,865396,695415,-1,-1,591726,365782,601688,-1,650625,252700,-1,134327,109346,-1,796272,105834,431959,977422,134320,-1,69857,-1,-1,-1,297593,-1,-1,-1,-1,-1,713104,-1,599028,996333,591204,-1,-1,-1,21211,656500,470331,-1,177037,-1,505355,-1,816185,33795,408920,-1,294053,-1,-1,35944,538148,110496,4503,188052,-1,-1,-1,218913,813695,382190,68519,-1,28675,-1,867466,509386,344412,850686,332649,-1,-1,629494,-1,565414,-1,674985,-1,-1,-1,95139,-1,248750,415661,316384,-1,426174,-1,785637,133893,138885,-1,719884,636540,686641,-1,-1,-1,709485,559949,-1,-1,431919,477898,-1,579959,-1,492135,11413,973471,900725,287354,886707,621439,-1,979579,149376,-1,-1,-1,-1,-1,-1,-1,519290,711094,-1,830148,-1,446429,-1,-1,490678,798611,-1,-1,203981,287527,749372,128541,-1,213545,-1,232206,-1,224985,6083,-1,-1,-1,-1,260096,-1,-1,-1,-1,518244,702856,-1,-1,189348,-1,627229,827793,-1,-1,292106,704744,-1,-1,456695,-1,-1,82927,-1,872377,546086,-1,802094,-1,205870,779253,-1,527756,355075,-1,-1,117659,157964,939478,451085,-1,230562,328524,-1,-1,495961,830357,573062,-1,-1,876320,340576,-1,455750,344082,-1,322773,828030,-1,-1,356242,670683,185994,698063,-1,-1,-1,575746,675514,798176,-1,-1,168038,728549,-1,-1,757289,-1,-1,654913,-1,331120,-1,-1,-1,955353,824798,11139,-1,298357,661859,953502,211214,340243,-1,447195,881794,-1,-1,-1,814376,-1,-1,411177,-1,379545,339890,-1,257992,513037,-1,-1,-1,-1,-1,-1,440464,289828,286870,-1,-1,284809,592887,956819,283942,-1,666716,145623,337117,-1,-1,-1,-1,721998,772645,741527,210643,927600,-1,948558,350542,371963,-1,-1,536888,15221,845495,427371,-1,44905,-1,490555,-1,-1,979904,697798,-1,544388,-1,142556,-1,-1,786578,-1,-1,532964,637402,-1,-1,-1,712498,129825,769500,924505,310100,383606,712576,580478,-1,206454,-1,-1,504551,19775,-1,-1,170032,-1,475336,-1,59847,-1,315456,936377,189310,102587,-1,434887,-1,-1,511339,-1,887845,921636,-1,-1,917968,-1,409620,-1,93156,-1,-1,849012,-1,-1,-1,63833,787282,-1,-1,460255,570985,-1,-1,985411,-1,-1,346921,-1,-1,409466,-1,136884,-1,-1,595593,-1,599495,188766,444487,262007,680394,449194,776671,752739,-1,-1,492093,412837,508928,859227,540217,779001,-1,804157,228130,413063,-1,434751,547750,-1,-1,-1,-1,875978,-1,824510,-1,466203,769378,-1,-1,446393,-1,-1,-1,158873,-1,-1,-1,-1,952311,738594,268899,-1,919979,-1,-1,194050,911881,777118,708119,-1,776018,-1,789195,181521,641952,-1,-1,-1,-1,403524,-1,-1,-1,334437,690366,-1,257711,322124,-1,-1,918313,-1,365752,917674,597987,95852,-1,58252,-1,-1,-1,-1,236942,158695,-1,-1,-1,-1,-1,361816,-1,911153,-1,838782,-1,-1,939358,488005,-1,491120,301387,-1,339316,-1,379739,343420,897561,-1,-1,761610,504257,924509,-1,154552,-1,-1,-1,-1,235864,-1,122743,587424,-1,-1,102733,-1,-1,619371,900497,-1,458753,-1,-1,-1,-1,-1,731815,-1,-1,-1,-1,410063,999657,999496,-1,-1,-1,-1,-1,-1,-1,887598,683924,146011,-1,-1,520132,-1,472930,-1,377292,-1,747834,-1,-1,895633,-1,-1,6948,357175,-1,-1,37999,-1,-1,-1,985060,-1,-1,-1,-1,-1,-1,13211,-1,862855,339177,438656,272635,447073,349324,179056,127638,798175,976111,714749,-1,-1,-1,-1,-1,-1,-1,211343,129492,-1,734853,21338,963805,-1,-1,324543,-1,405502,94589,828704,978859,-1,670356,511641,537611,937650,-1,104586,-1,-1,314522,-1,63923,956333,442748,988976,677321,-1,224007,725134,-1,825688,-1,329673,794254,919621,-1,278907,-1,472916,170874,-1,253915,-1,949789,771143,677448,-1,310816,-1,375491,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,712233,-1,802704,411315,707862,140040,512023,304641,-1,979960,232750,303427,51070,-1,-1,32944,449571,726692,926385,187907,-1,-1,630055,275684,39423,895243,-1,458490,-1,372898,88249,91723,204429,861767,-1,484593,664881,-1,-1,429793,-1,662201,903153,247344,828221,503495,751805,-1,-1,160255,402226,-1,12435,-1,994095,-1,259643,236185,-1,-1,72296,967744,756276,-1,-1,-1,-1,89409,-1,860709,264430,734023,-1,284777,-1,-1,-1,367456,-1,230249,-1,394636,86401,-1,-1,-1,-1,301823,-1,-1,-1,-1,-1,-1,-1,794119,800940,116492,-1,600429,294454,-1,619186,334680,980872,756759,920619,162713,499226,678479,937845,-1,-1,-1,975872,-1,396667,-1,-1,-1,-1,-1,-1,57502,-1,851224,-1,519959,39445,-1,-1,-1,-1,446184,958475,-1,633238,-1,269878,938183,-1,470098,143550,-1,-1,332767,-1,-1,985846,-1,-1,697342,-1,-1,429232,824666,-1,640626,403261,263067,631804,-1,892896,944076,-1,810154,-1,664655,-1,531859,-1,-1,-1,809223,-1,-1,-1,659629,310422,-1,-1,236315,-1,935424,-1,-1,306330,-1,267427,794186,441948,943213,61671,241543,682070,886664,929966,735440,988489,700122,-1,-1,994641,76051,-1,-1,-1,314706,-1,132489,-1,579704,951731,278746,-1,176422,-1,-1,96128,394615,629986,-1,345438,-1,-1,942530,856490,-1,64149,261481,-1,-1,-1,-1,470157,595406,-1,811809,679036,-1,-1,-1,823415,368883,445138,-1,-1,-1,731871,225573,-1,-1,647286,-1,257991,-1,182917,-1,906722,286469,-1,-1,746897,61310,314159,-1,-1,530925,289531,-1,-1,34160,-1,719132,-1,-1,380379,811935,-1,548452,473380,47311,471184,-1,-1,-1,244184,846515,-1,563914,591258,164070,334047,-1,615757,-1,-1,938065,456608,-1,-1,-1,616868,-1,435186,795507,671146,-1,964737,-1,-1,616422,16747,924186,251050,-1,770289,-1,-1,127584,951938,989172,-1,662501,205337,-1,994942,-1,28669,136097,-1,-1,-1,314619,-1,-1,867645,-1,4419,843349,-1,831338,-1,214219,-1,-1,-1,326379,-1,-1,834561,192445,228718,624060,261296,-1,348501,-1,-1,-1,747210,208691,-1,871385,989583,188512,629716,-1,686645,404798,-1,145521,628416,646247,-1,-1,-1,845618,516112,253602,-1,-1,346568,-1,-1,49924,832988,471740,-1,-1,305491,17398,-1,607771,145643,831734,-1,133672,-1,-1,593486,-1,105365,203952,-1,399106,461551,-1,-1,646998,-1,-1,-1,-1,297255,689686,-1,883401,-1,656257,-1,405470,11039,11416,-1,-1,697105,-1,297933,762464,155587,792850,917766,196277,-1,-1,279630,-1,543027,985877,-1,283778,-1,997729,422356,-1,-1,358435,931905,-1,218167,-1,188024,-1,832414,-1,898089,-1,176984,-1,455368,510709,297905,174759,-1,-1,-1,-1,-1,89165,848852,-1,644527,-1,-1,374421,225688,-1,-1,437905,-1,-1,399069,-1,502312,790745,-1,167466,-1,-1,392403,476597,-1,963070,-1,320245,-1,-1,428715,106373,392932,532267,-1,-1,-1,-1,-1,829400,780872,266233,804244,866801,-1,-1,-1,839780,6920,-1,-1,-1,346084,-1,-1,512820,479449,4897,-1,79135,806195,-1,295617,-1,116597,-1,750388,-1,471380,-1,286643,-1,-1,-1,-1,988183,-1,-1,-1,725222,-1,703982,537577,715083,999689,-1,-1,157589,985626,746592,-1,-1,-1,-1,41476,-1,-1,157324,-1,-1,-1,737211,231857,-1,193546,188970,131819,33854,408330,-1,610149,786744,897657,495029,138760,792150,-1,7829,-1,775913,200325,768627,-1,18510,-1,-1,968357,-1,406453,-1,847669,-1,704270,-1,-1,-1,489761,-1,89105,763803,11133,-1,628561,333643,-1,375375,-1,-1,-1,132201,-1,-1,-1,6410,-1,295599,-1,936252,-1,-1,-1,-1,-1,-1,-1,289430,-1,337814,600070,-1,-1,-1,728994,684902,959026,596446,-1,-1,-1,687328,-1,-1,374484,276953,-1,-1,-1,289062,580900,718411,-1,-1,733442,-1,-1,963256,-1,-1,151842,-1,79375,-1,600448,-1,721654,-1,68064,-1,120619,-1,-1,-1,-1,927758,330434,122497,-1,-1,-1,-1,-1,453883,-1,-1,830773,364374,303311,-1,733906,-1,-1,23592,-1,-1,-1,-1,317942,331434,-1,-1,-1,-1,990047,729792,-1,133676,-1,-1,65228,936628,296301,895273,23133,-1,811336,691189,510407,28987,-1,492750,-1,171223,728685,865157,925908,-1,331150,-1,-1,525579,-1,-1,740886,782889,-1,395587,235300,159373,-1,577708,-1,-1,655760,659032,723811,108298,-1,-1,-1,-1,-1,1493,-1,-1,949971,-1,-1,160279,-1,-1,35486,-1,16887,-1,397088,319371,868627,887966,-1,-1,923149,-1,630524,130006,939866,612462,377266,-1,225150,-1,584100,-1,915889,973962,905115,-1,-1,-1,176657,120381,229218,429609,64610,658130,525925,-1,198128,-1,-1,804887,187777,-1,562402,-1,823944,-1,-1,802269,-1,-1,-1,-1,-1,576481,-1,773225,320566,414639,-1,821013,668217,-1,-1,828858,-1,284622,209392,-1,955970,568897,110417,-1,250395,-1,846256,-1,-1,-1,845385,-1,-1,-1,304086,-1,135335,-1,569136,-1,203224,-1,868024,-1,43373,-1,395226,648595,331920,-1,-1,-1,-1,879530,-1,-1,-1,246161,-1,-1,422136,467324,-1,164516,450269,634089,-1,-1,-1,452086,-1,659833,178369,885068,-1,994127,-1,-1,-1,-1,-1,-1,-1,621376,-1,-1,-1,563877,-1,236554,-1,823535,-1,-1,-1,-1,-1,370922,-1,700221,519734,-1,-1,-1,987954,-1,472675,-1,340546,-1,-1,-1,-1,-1,170829,-1,-1,-1,311353,-1,-1,978324,891672,-1,669483,711806,-1,-1,569423,-1,-1,-1,80195,-1,-1,-1,414663,-1,-1,-1,880385,35444,-1,-1,-1,765766,-1,291548,-1,-1,830750,865633,61758,-1,146237,529300,-1,942686,245004,-1,106222,750040,-1,744826,807983,-1,199959,357371,-1,8292,616141,-1,-1,708840,994653,695726,-1,58942,869903,282199,896829,799162,-1,-1,-1,-1,768443,65713,128464,450374,456481,229350,-1,-1,-1,-1,-1,-1,-1,526642,-1,869152,-1,568228,-1,484260,418250,501070,601607,849817,321376,219298,147691,-1,-1,-1,673814,597792,995476,-1,-1,76585,395935,-1,-1,914767,708399,42707,800804,-1,56147,-1,230029,362898,-1,762856,754680,-1,-1,915019,-1,858763,-1,-1,-1,-1,-1,-1,-1,24920,-1,-1,-1,724808,557081,72704,-1,294452,652349,668514,-1,571246,79016,213593,860402,-1,-1,-1,413412,-1,-1,556699,-1,267197,-1,-1,-1,-1,-1,-1,-1,781989,-1,737906,222903,-1,824715,588,-1,-1,687889,515707,771735,737708,346408,-1,207458,-1,-1,-1,125221,-1,877055,-1,841710,990478,-1,293196,-1,91415,-1,-1,761005,-1,-1,-1,762434,638332,-1,79103,-1,965394,-1,578802,-1,-1,314838,74317,51901,-1,966503,378947,-1,-1,-1,839379,-1,-1,369102,-1,841489,-1,279460,925630,286248,-1,-1,996581,-1,-1,-1,310031,-1,-1,-1,-1,800405,-1,-1,524536,193832,359626,-1,622711,-1,-1,-1,613156,276144,-1,376127,-1,748061,-1,110146,-1,-1,350466,212063,584620,-1,-1,-1,-1,-1,293215,-1,-1,-1,-1,483114,476549,-1,-1,103868,67544,-1,-1,-1,-1,-1,68676,200348,-1,796062,-1,796910,-1,547006,405950,542209,340904,719943,393246,735303,660083,734152,779569,836081,-1,237240,206784,-1,-1,42616,-1,542278,224521,-1,90942,-1,-1,240789,-1,39777,610052,752600,-1,126537,532077,-1,-1,850024,614961,-1,-1,-1,489359,514993,902092,372826,-1,402089,-1,730166,-1,813415,-1,-1,44350,399064,68224,-1,146276,-1,425707,-1,358614,-1,-1,-1,-1,131040,-1,-1,592963,776414,-1,-1,26586,-1,-1,350332,-1,-1,198593,257595,167094,-1,132443,530335,-1,-1,-1,19046,-1,88813,-1,485049,589997,159337,477203,-1,-1,359409,632514,957392,-1,641326,579054,-1,477428,-1,-1,-1,-1,-1,780003,615686,-1,-1,-1,556146,681412,-1,-1,486058,610125,667110,-1,632909,299386,-1,-1,-1,58958,-1,-1,-1,835921,-1,-1,883963,-1,-1,120689,-1,-1,527819,-1,-1,-1,241661,761803,-1,-1,-1,952301,-1,-1,-1,406216,-1,-1,891176,417659,-1,737725,-1,-1,-1,-1,-1,-1,77712,402514,-1,11152,-1,-1,51772,235678,-1,897449,-1,-1,-1,-1,772424,-1,-1,-1,112258,-1,-1,-1,-1,-1,-1,115701,244146,643809,-1,-1,195876,6089,-1,938310,-1,567082,-1,487208,706582,730603,-1,-1,-1,-1,-1,159770,-1,248017,-1,190026,-1,413950,-1,-1,844001,579375,427341,404984,532266,-1,-1,-1,694191,538840,-1,612296,966534,869436,541943,261133,-1,-1,-1,-1,-1,-1,-1,-1,50568,964,-1,-1,-1,313012,875237,69681,30523,-1,41448,-1,158556,632063,-1,-1,-1,-1,227727,199897,-1,518306,-1,-1,380795,-1,544266,730118,-1,812051,52084,-1,-1,-1,84790,510767,-1,547116,698504,697555,-1,766714,332597,868542,193973,100666,435075,750118,-1,290195,90570,-1,719478,-1,160630,126507,360585,457340,130098,-1,-1,990971,-1,-1,752062,386768,-1,-1,643861,508943,220677,921025,-1,308188,722541,-1,538567,-1,770996,-1,-1,246277,358783,736629,245977,646129,203240,626111,-1,-1,50917,841808,137906,376341,82526,-1,252715,454831,-1,-1,727626,-1,-1,89479,-1,807969,-1,-1,-1,-1,974508,778061,-1,534418,596620,-1,-1,534838,534698,-1,-1,-1,-1,698464,-1,492109,-1,373150,929425,468834,342395,-1,-1,231861,717435,-1,-1,686116,601328,-1,-1,-1,86172,-1,633547,-1,-1,-1,388386,-1,-1,-1,-1,-1,-1,-1,-1,259222,-1,455125,-1,-1,35973,569141,-1,81546,-1,716822,-1,725172,-1,-1,-1,-1,820534,763377,922592,-1,988984,599536,-1,-1,238646,-1,216039,978202,-1,104861,-1,448471,-1,-1,854508,-1,-1,-1,-1,544096,195844,297800,923117,804511,-1,-1,45942,297598,-1,-1,65255,-1,798777,-1,-1,469951,-1,-1,960754,-1,318391,-1,252704,885877,-1,-1,600845,832659,593087,-1,120913,946880,-1,-1,668892,-1,612465,-1,118648,-1,608395,-1,872978,622523,-1,404851,-1,252985,729970,884746,-1,-1,-1,-1,767437,760376,-1,774317,879422,-1,263491,-1,896951,415937,-1,351914,-1,-1,-1,975794,863304,-1,117842,-1,518977,-1,-1,610528,-1,-1,914254,997293,966854,-1,504967,-1,-1,-1,190319,-1,524418,775313,405275,-1,678880,581272,-1,-1,415928,69375,-1,-1,382074,-1,630640,-1,792964,-1,827136,614809,-1,573738,-1,-1,-1,-1,-1,-1,-1,482861,188099,-1,-1,-1,-1,-1,-1,-1,-1,451994,-1,-1,-1,-1,51508,-1,-1,971037,-1,742223,-1,-1,-1,92235,-1,994475,-1,347619,-1,-1,254735,471156,-1,-1,-1,613173,-1,228427,-1,294927,891702,-1,977492,748614,299505,-1,948779,112150,774542,-1,-1,-1,-1,-1,-1,111792,-1,-1,-1,-1,978631,633731,-1,-1,317175,-1,-1,362836,375683,-1,-1,956176,-1,746186,-1,-1,-1,661038,166333,807243,-1,-1,422649,3972,180113,291441,867583,-1,486667,9030,371135,845070,439629,-1,427613,-1,938044,959216,-1,-1,560,562519,-1,-1,157600,-1,-1,214597,456912,-1,978948,758084,604008,-1,201569,-1,-1,261243,607568,121371,-1,327881,-1,-1,349422,-1,-1,-1,382551,-1,745625,588905,655827,779342,982948,700404,-1,-1,-1,-1,255795,-1,828021,-1,-1,192368,-1,-1,807924,909571,149396,521815,-1,785082,-1,945413,-1,246962,649427,-1,-1,253338,510324,-1,-1,-1,890678,-1,8007,715372,-1,648599,-1,239891,-1,550879,600981,-1,-1,-1,949842,553274,25867,-1,-1,351987,523799,-1,-1,501599,446917,-1,2767,247732,617976,954764,536830,-1,-1,-1,-1,915673,156600,480039,935188,-1,-1,-1,-1,311996,895484,404205,930573,570719,-1,-1,959671,673389,206670,-1,474743,-1,219416,-1,-1,-1,282502,777187,984798,781363,676793,901391,400962,-1,-1,595227,-1,-1,17798,-1,-1,-1,112960,533112,438997,295432,-1,-1,-1,33876,751769,501126,983015,-1,-1,-1,550674,-1,818161,912867,655625,154684,-1,-1,89101,883576,-1,728026,763220,-1,-1,-1,594385,203596,383037,-1,523581,223339,243812,590458,-1,-1,107717,518655,-1,-1,515390,973852,-1,-1,-1,102988,-1,-1,483932,364734,737064,853946,968075,513213,332773,948911,100133,388354,874254,240960,98366,-1,-1,-1,331478,-1,-1,-1,624114,-1,648575,66495,164978,923294,914231,-1,742340,135478,-1,-1,-1,874515,723233,-1,46283,650276,-1,553732,-1,-1,-1,957929,-1,-1,-1,-1,-1,844443,237024,-1,-1,903745,-1,148994,-1,307921,306724,-1,-1,410715,-1,880573,925191,-1,-1,-1,95309,472839,-1,340179,881751,457932,-1,952216,836187,382918,-1,-1,780432,-1,96607,-1,-1,872352,-1,-1,277990,-1,215696,-1,-1,-1,488834,-1,-1,857802,-1,278400,-1,-1,231399,-1,-1,759324,636836,968647,330634,-1,-1,414679,-1,-1,-1,861501,965442,-1,247044,-1,-1,-1,-1,960080,301875,-1,-1,845099,-1,-1,-1,-1,-1,-1,-1,381276,-1,125370,118988,570490,-1,-1,599392,-1,306571,568981,880453,-1,380654,403294,642100,-1,-1,-1,896058,501277,-1,809884,-1,-1,-1,-1,-1,526996,671331,-1,363232,-1,-1,927755,-1,45163,-1,829368,-1,719091,732338,-1,-1,970370,-1,-1,967355,306230,968261,241440,688049,-1,443635,940589,437700,401834,629766,850473,745846,-1,431941,-1,-1,528312,23261,415520,373251,140545,-1,-1,-1,-1,-1,34687,303044,-1,-1,-1,371043,-1,712101,396350,-1,-1,-1,549162,-1,967750,390682,-1,920606,177092,-1,-1,-1,-1,-1,921508,-1,-1,36842,197958,391392,-1,-1,-1,-1,-1,677695,415973,726688,592265,-1,139005,281370,-1,-1,-1,213495,320141,-1,-1,715359,-1,243520,535669,965578,326327,377843,-1,729060,-1,-1,61169,515868,318578,-1,-1,305758,720819,428373,73279,-1,610717,432090,617933,647906,-1,-1,-1,-1,189734,-1,-1,886627,-1,-1,331637,-1,335313,-1,389737,174927,-1,-1,-1,-1,549565,51304,85818,584486,-1,376634,-1,413465,-1,-1,-1,249793,-1,-1,-1,-1,-1,714877,346224,672257,580491,638636,4257,-1,-1,-1,-1,-1,958518,-1,974468,653033,-1,-1,-1,845086,677133,-1,-1,-1,967661,769846,-1,-1,-1,724932,278999,-1,175263,654721,333657,261997,-1,-1,528919,-1,-1,-1,56574,455573,-1,125117,-1,-1,-1,983608,516620,-1,427494,514268,128149,120547,214245,700572,-1,955773,-1,-1,648949,820634,228070,650370,-1,-1,-1,229562,949290,-1,291701,-1,-1,982078,-1,-1,-1,769971,-1,147160,40091,190159,-1,-1,449480,-1,575721,31221,-1,-1,62288,448126,-1,-1,679963,989412,-1,-1,627118,-1,-1,-1,-1,179006,338800,-1,235192,-1,-1,210610,788092,-1,-1,517151,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,241889,-1,-1,838138,85228,516200,-1,-1,485938,-1,315848,914692,-1,-1,183577,670919,573928,215954,330353,499273,-1,-1,-1,-1,299384,-1,-1,421241,221345,-1,62397,96086,710946,328925,167070,837468,-1,-1,-1,789618,-1,-1,-1,-1,-1,847925,-1,-1,789863,-1,50064,-1,-1,572685,259585,377086,47356,691942,-1,-1,263731,-1,-1,553833,863395,-1,759842,-1,-1,-1,-1,-1,-1,99043,262812,-1,853217,-1,554686,558983,-1,835553,-1,301379,690823,610293,-1,950909,246651,-1,8252,459144,-1,246348,-1,845617,-1,-1,-1,-1,-1,255117,208452,878383,-1,-1,279414,-1,986276,42072,-1,-1,-1,-1,-1,197903,910311,993809,-1,-1,786214,-1,210047,-1,376404,-1,-1,-1,-1,-1,-1,22996,-1,-1,-1,-1,588851,-1,-1,-1,988153,-1,-1,884024,774768,-1,-1,834427,590682,-1,561530,979106,943580,-1,-1,-1,971676,11098,-1,-1,-1,724135,402505,613452,708757,-1,160600,337644,685649,-1,-1,-1,242660,745594,-1,-1,969011,561222,-1,496229,859292,-1,56243,-1,-1,301886,-1,204383,891772,-1,-1,-1,893417,-1,-1,889271,427631,340103,-1,-1,-1,779954,519709,-1,460492,248423,619038,-1,754829,517414,-1,-1,720430,-1,877933,269547,976415,625789,-1,597244,287212,462254,628732,-1,-1,268657,-1,974106,-1,-1,-1,-1,-1,-1,-1,-1,17638,492164,-1,-1,-1,871567,498128,978286,438581,482632,318059,-1,-1,849532,647583,765096,-1,887191,747599,-1,291525,474659,-1,-1,278873,-1,-1,606024,228211,-1,-1,-1,369348,789693,116482,705823,783583,29702,185674,-1,66291,949839,-1,575170,-1,689592,-1,922492,912182,-1,51116,576594,-1,-1,-1,346711,324941,133996,-1,35514,-1,-1,14868,275643,528719,-1,-1,982421,-1,-1,218441,489583,949010,123058,87005,447029,-1,156227,-1,191900,-1,-1,504986,849497,920986,-1,-1,380422,-1,-1,272331,378236,950162,189786,-1,-1,759309,373918,-1,733346,625737,-1,617019,-1,-1,-1,604620,40874,-1,91134,356127,-1,-1,31699,-1,-1,-1,465428,776121,-1,686628,-1,362142,-1,-1,618686,309896,54295,203380,548039,701986,474414,490283,342980,596468,314430,-1,-1,-1,-1,928633,534064,956468,513873,916287,-1,-1,219268,713216,914815,693672,575019,-1,-1,733695,-1,254529,-1,-1,-1,-1,413963,172657,-1,148896,7107,-1,648031,-1,-1,317573,-1,655811,844216,610943,386372,-1,277601,-1,-1,-1,-1,976507,-1,-1,338730,-1,356340,787157,-1,-1,345841,934338,-1,-1,-1,50105,971823,515457,297423,-1,-1,-1,335052,-1,984211,-1,-1,249824,484021,-1,-1,199213,-1,-1,547451,780691,-1,-1,-1,444597,631929,775070,-1,-1,-1,543677,-1,-1,416021,-1,-1,-1,-1,-1,307343,487354,-1,-1,-1,-1,498930,-1,404702,-1,-1,-1,226561,-1,-1,344551,582850,-1,776363,617819,-1,416903,-1,303157,-1,844717,514245,-1,531957,446506,250023,-1,-1,-1,-1,-1,-1,-1,469204,-1,737309,-1,-1,-1,-1,-1,76196,773744,666949,176046,754693,-1,-1,754987,-1,613121,651865,-1,-1,814269,582516,891252,-1,994107,757559,-1,-1,-1,-1,142311,-1,-1,-1,106555,-1,-1,-1,312011,-1,961605,-1,902800,906018,-1,-1,214631,-1,76488,429698,-1,974076,274445,-1,-1,-1,216136,-1,-1,795528,587821,-1,-1,-1,-1,-1,310368,-1,864124,552201,-1,-1,312646,-1,-1,-1,-1,27843,-1,945761,-1,225367,988270,698018,306358,-1,506051,-1,-1,-1,-1,-1,-1,592253,-1,-1,993337,758723,352429,72327,158903,-1,-1,988480,-1,98175,-1,-1,708769,851334,-1,827709,-1,-1,-1,540158,-1,772737,231976,42048,-1,-1,-1,-1,-1,30372,387055,-1,-1,-1,636679,29666,-1,-1,-1,-1,25606,130791,191513,480061,604298,-1,-1,-1,321385,315689,759424,946912,-1,427503,648204,-1,16289,843353,590477,-1,954563,958151,-1,-1,-1,-1,-1,283350,475709,3717,749213,919676,-1,-1,-1,-1,471404,246502,-1,383814,575800,-1,864467,80928,-1,155598,249380,-1,888376,-1,-1,816094,-1,-1,743191,-1,-1,358301,989553,419193,-1,-1,69554,264456,-1,358685,-1,-1,596520,654461,-1,-1,-1,-1,-1,253343,-1,-1,-1,-1,185242,-1,-1,753367,769845,-1,-1,-1,-1,810007,603921,388771,-1,-1,17424,604275,475726,-1,965269,-1,-1,-1,-1,549430,-1,119609,37907,362074,-1,-1,724280,427605,627881,903615,49303,385510,-1,-1,908185,779117,5894,-1,-1,331918,-1,-1,742384,-1,879727,670646,827739,-1,-1,-1,-1,927870,-1,-1,932994,-1,415284,798590,599995,233899,-1,-1,-1,-1,-1,109589,356012,886132,362436,681433,-1,-1,-1,-1,-1,-1,-1,683597,424429,148241,449028,771304,-1,180165,-1,144608,593043,-1,-1,-1,81687,-1,577359,-1,425343,790529,576024,342397,-1,-1,303220,98180,128247,-1,-1,-1,-1,744388,410358,550179,36200,-1,880420,365091,991734,19615,-1,137684,-1,59249,407797,933377,-1,647401,358973,463215,-1,821981,938959,-1,395448,-1,695778,-1,-1,380236,460939,-1,-1,-1,157590,-1,496362,-1,246548,625097,390947,340362,875031,-1,-1,-1,-1,125307,-1,-1,727405,496557,616633,-1,-1,-1,-1,-1,51425,-1,353407,348815,555086,47522,288332,-1,-1,-1,331011,968301,-1,691432,-1,789889,-1,-1,508339,222155,-1,-1,830437,229910,884656,613841,444524,808686,-1,782117,-1,364287,392262,-1,-1,-1,255718,-1,149399,730960,-1,-1,-1,720975,-1,611886,477077,-1,239386,-1,324899,888689,399703,-1,264039,-1,493753,-1,-1,506021,-1,-1,-1,717702,-1,124888,-1,-1,-1,-1,-1,-1,-1,-1,48927,645683,965263,-1,758272,10705,-1,841900,383598,98371,191442,-1,571325,301664,-1,-1,496153,650282,-1,431066,870647,10408,-1,-1,-1,-1,-1,-1,237497,-1,461951,-1,-1,906265,588638,757841,699681,-1,587637,218353,282768,-1,261694,-1,-1,-1,434157,-1,-1,142166,-1,-1,-1,-1,923186,309954,613131,704957,23916,944873,779605,-1,313066,717385,761448,-1,-1,-1,-1,764021,-1,-1,113648,818914,704598,-1,-1,-1,-1,-1,344755,288179,-1,109468,703949,-1,-1,15016,-1,302021,562382,-1,450231,153315,-1,544425,-1,-1,819866,-1,657620,-1,58129,403330,194422,209521,-1,-1,196031,541334,258014,-1,575100,904893,711837,52793,-1,734341,-1,-1,-1,-1,-1,-1,30473,595506,-1,-1,580288,281538,375393,305601,-1,-1,-1,-1,-1,-1,695934,415171,-1,185619,484391,-1,-1,606129,695476,576455,689328,-1,891248,334320,749605,617873,-1,-1,242016,897642,630851,-1,-1,830359,490907,-1,-1,429673,492008,260992,-1,701836,-1,715678,-1,334036,-1,741805,814242,723864,-1,517759,-1,491019,-1,413129,-1,-1,664140,-1,-1,-1,-1,-1,446788,75812,728319,102492,663776,-1,51741,495567,-1,-1,725768,753206,-1,289419,992828,671830,295830,181373,-1,-1,-1,-1,824686,-1,-1,-1,863839,-1,417275,706260,-1,-1,308206,32587,910224,274653,94346,-1,-1,583486,965555,282055,-1,291055,-1,-1,975450,903602,-1,-1,227211,686431,-1,-1,-1,806315,905182,82215,-1,965580,-1,264347,-1,700920,-1,-1,593040,-1,-1,110238,-1,-1,-1,-1,-1,610225,-1,347648,422820,-1,-1,-1,-1,660917,295131,-1,537706,244772,111561,148841,756994,-1,750051,945450,786269,-1,948147,-1,-1,551477,-1,-1,-1,-1,485192,-1,-1,-1,773350,280142,-1,-1,958136,461876,464971,-1,174523,-1,-1,-1,-1,-1,-1,593685,-1,-1,274235,161971,707980,-1,426514,-1,-1,-1,773348,-1,223341,-1,554533,-1,-1,737881,-1,-1,83723,-1,577269,-1,385578,650463,-1,-1,-1,450339,78396,-1,-1,921579,833196,-1,49756,890079,-1,-1,-1,284106,126195,-1,289986,910138,-1,857887,-1,-1,302011,-1,192479,-1,722939,-1,-1,-1,314109,-1,396141,-1,340515,-1,-1,-1,-1,773822,-1,650412,977285,48045,852715,126268,-1,-1,374585,274189,374087,-1,52398,-1,839108,-1,228153,-1,-1,528587,-1,398278,-1,547459,-1,302526,602687,-1,695681,-1,-1,203090,75032,794279,-1,594174,-1,489174,489304,937747,763904,-1,-1,-1,-1,-1,-1,-1,20772,231396,991538,-1,442075,-1,644322,-1,453091,470518,599390,48257,-1,192085,-1,-1,167567,-1,-1,41092,-1,663075,-1,-1,-1,857937,-1,-1,604038,56178,750604,525530,139145,543937,855905,-1,-1,906665,-1,-1,718641,-1,-1,-1,447076,-1,-1,411436,549235,240078,91531,533784,-1,-1,-1,760113,-1,-1,-1,-1,-1,187671,175260,-1,950315,-1,-1,-1,620313,798881,-1,-1,-1,905346,410007,583191,208912,14984,263932,748950,-1,357335,-1,-1,-1,536955,-1,-1,-1,308051,569008,197897,585284,-1,-1,-1,-1,-1,-1,583763,-1,766523,-1,935641,952370,693066,731672,341478,19128,949445,65735,-1,-1,-1,-1,679503,429442,-1,-1,-1,637966,197893,-1,-1,-1,740699,255286,-1,219287,-1,311335,501350,77983,897439,-1,-1,-1,140694,-1,-1,845343,454,-1,-1,998890,594902,626986,-1,215228,-1,356387,-1,-1,345272,-1,37677,-1,756845,942618,598276,26760,41206,-1,204266,584903,-1,-1,-1,524261,681864,840202,-1,-1,-1,-1,668464,-1,-1,762020,-1,-1,-1,-1,-1,-1,865057,-1,-1,-1,-1,-1,402588,-1,-1,-1,-1,610870,-1,106309,970223,-1,-1,250209,-1,610753,720625,788053,-1,945484,357807,-1,222321,201064,156841,574676,-1,442777,770679,84232,-1,-1,820149,394601,585402,-1,614625,-1,-1,-1,-1,-1,929609,41720,-1,-1,-1,341132,-1,-1,-1,204885,-1,695444,-1,-1,291365,-1,-1,949661,763714,942077,-1,601871,334892,-1,361491,373764,423695,-1,-1,298155,-1,260253,617528,177374,556033,854910,-1,394318,-1,93824,-1,-1,38411,-1,-1,226303,-1,882251,696854,-1,-1,-1,53588,-1,572064,-1,654640,-1,20326,778186,-1,500671,-1,-1,-1,-1,-1,-1,-1,842150,-1,-1,-1,329716,466900,579232,-1,-1,-1,854801,545305,-1,-1,809084,179439,-1,-1,419282,74290,-1,306925,686360,-1,-1,673902,575788,-1,-1,296001,399061,-1,351341,-1,-1,-1,104435,237195,-1,-1,324668,950160,-1,-1,782535,657115,-1,-1,866411,-1,210072,765223,-1,76888,18888,501900,-1,446661,-1,-1,-1,-1,442987,-1,785587,643357,739769,-1,-1,5938,-1,422771,611368,-1,-1,290206,860661,-1,844914,942421,938415,-1,145702,-1,-1,329416,-1,-1,35953,-1,18754,852367,-1,-1,318892,-1,-1,-1,171687,102739,270077,158574,871228,-1,-1,-1,-1,-1,600275,588935,951367,-1,-1,-1,292584,-1,834423,871845,466453,833224,511229,954348,333642,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,651666,-1,-1,-1,-1,77068,-1,-1,-1,280659,902767,-1,340861,-1,917414,-1,650741,-1,877763,-1,331087,-1,-1,377312,997295,-1,772048,-1,354996,-1,-1,-1,515487,259161,859464,180277,-1,-1,-1,-1,-1,-1,-1,186471,-1,-1,66927,378423,-1,-1,903758,-1,362706,486044,663872,-1,-1,-1,-1,124603,975906,-1,855031,756351,-1,494894,449555,-1,-1,-1,-1,261985,-1,-1,760679,960444,850710,478917,-1,734606,392524,941745,859328,-1,-1,380937,-1,215392,-1,-1,-1,-1,-1,-1,462452,208144,-1,-1,-1,-1,401579,-1,832814,-1,844341,907767,-1,817966,-1,-1,207236,-1,-1,510543,-1,492389,-1,859240,439935,538615,-1,65666,21013,-1,-1,882655,-1,-1,-1,139776,-1,562594,-1,183035,673105,-1,113808,-1,-1,689701,-1,960095,-1,-1,937073,293214,514790,-1,547016,-1,779950,-1,568126,518666,493190,-1,46464,-1,-1,528097,508253,-1,-1,-1,417244,377575,-1,-1,339495,343197,-1,-1,933342,359576,-1,-1,723632,-1,374872,-1,-1,980717,-1,456728,-1,991464,988191,600323,667139,560078,117786,-1,-1,-1,396723,-1,599541,-1,373489,-1,-1,622009,-1,518663,252529,-1,410734,-1,433436,833618,75639,-1,518832,106579,-1,791190,763017,-1,978250,958476,979851,-1,-1,-1,-1,-1,781395,-1,-1,-1,674520,-1,-1,-1,28585,-1,-1,161050,-1,-1,-1,-1,710711,-1,603970,834218,-1,383434,646704,942208,-1,298264,-1,48141,695120,888470,-1,-1,200239,895885,-1,527072,217205,179206,-1,686623,237399,665354,-1,-1,-1,-1,-1,28191,806271,985130,-1,200808,465838,-1,248187,-1,760381,-1,-1,-1,739763,627885,323300,797380,-1,569040,59511,-1,-1,-1,-1,-1,-1,567301,-1,360290,-1,-1,-1,-1,521395,189217,250519,-1,-1,-1,-1,-1,-1,-1,-1,162178,979981,941876,-1,-1,468109,-1,-1,-1,-1,215182,694483,-1,530371,111351,-1,-1,-1,-1,-1,470222,-1,439569,955485,127325,-1,566677,-1,-1,992316,319194,-1,126825,-1,830737,-1,-1,-1,178625,-1,-1,488800,221440,931345,-1,349753,-1,666834,-1,-1,-1,-1,-1,709759,-1,-1,579847,-1,552320,-1,977727,339279,-1,-1,-1,17703,-1,536868,345906,-1,774440,171330,794293,-1,426201,194719,71123,448218,531426,676368,127140,-1,-1,489762,-1,149362,326540,-1,839157,460321,-1,408616,96107,669949,-1,278892,867829,-1,687879,523065,-1,-1,-1,-1,42019,-1,210043,844260,555119,-1,65694,18525,282990,-1,-1,982519,-1,-1,-1,-1,-1,104296,-1,-1,81036,-1,-1,-1,-1,113291,-1,-1,-1,-1,-1,-1,-1,112712,-1,-1,47106,-1,-1,-1,-1,210449,-1,-1,-1,-1,-1,-1,-1,708351,807622,900591,802023,-1,-1,62729,40656,-1,322207,610238,-1,561112,-1,320520,-1,119316,388482,379482,-1,-1,116585,343101,-1,-1,560880,756178,-1,470871,-1,519729,786256,675127,56345,20092,389063,-1,-1,794863,273830,-1,944220,535019,365789,-1,116476,-1,-1,-1,-1,-1,945100,841119,275770,6674,-1,640605,719456,839038,940406,868332,-1,685989,375110,-1,701846,-1,-1,466288,784568,938964,817992,-1,23172,368073,962243,-1,344825,-1,-1,62722,-1,453028,229273,279634,-1,872248,-1,-1,350617,-1,-1,727218,-1,-1,-1,-1,-1,-1,732991,-1,835375,695559,-1,187447,652601,-1,-1,-1,-1,-1,292702,-1,169391,-1,185284,-1,371052,-1,6280,506764,-1,-1,-1,439420,-1,-1,-1,825730,49564,-1,-1,743796,-1,-1,509562,-1,556212,147644,-1,-1,-1,117398,-1,393971,-1,-1,361956,276441,-1,-1,186740,-1,639870,761729,15253,798220,-1,367285,-1,-1,113005,671509,-1,-1,753836,430445,-1,-1,966248,271011,672971,-1,787156,-1,135656,89304,-1,-1,17780,-1,-1,-1,408832,958761,19326,403877,769396,-1,733525,-1,-1,385134,903616,974531,-1,-1,324597,21271,597851,-1,224685,-1,-1,540345,-1,288692,-1,-1,-1,-1,-1,-1,-1,-1,103848,623007,201150,616861,-1,482613,708830,439593,-1,153699,476072,262213,822511,-1,-1,-1,-1,609415,461084,95504,192670,-1,-1,68872,274625,-1,597322,757168,-1,246280,-1,998347,-1,906656,-1,-1,-1,-1,96765,725214,356692,-1,349557,100737,992919,47725,-1,410095,392103,-1,312154,-1,-1,359015,619225,-1,95421,867686,-1,-1,842295,444635,-1,-1,784062,-1,851549,-1,401085,493678,853864,283961,584303,215155,769963,-1,-1,924075,202819,741646,-1,-1,912202,-1,-1,-1,158095,-1,399608,687029,86717,-1,184378,952240,503978,-1,779195,-1,191668,-1,87509,-1,119991,-1,941851,943017,-1,-1,-1,856096,876296,-1,143809,-1,86707,494374,-1,727453,204881,877707,688779,-1,-1,-1,427694,-1,-1,-1,-1,-1,944638,492661,-1,-1,-1,673006,-1,534425,663787,840674,484919,-1,-1,-1,646898,264609,-1,49185,-1,606028,456733,462044,-1,684413,-1,-1,287393,801955,-1,464833,519611,-1,-1,-1,530893,57388,-1,673523,-1,-1,-1,-1,694779,77745,-1,573517,-1,-1,-1,-1,-1,-1,-1,928763,-1,210639,183212,717880,-1,-1,215918,850043,976494,-1,-1,-1,-1,29954,-1,669810,786995,947466,557014,-1,404553,-1,193240,-1,414991,-1,-1,210861,322846,380960,-1,-1,-1,-1,523960,-1,799399,-1,402955,-1,6229,-1,-1,-1,560736,-1,309011,-1,-1,-1,-1,-1,143756,-1,-1,947534,266327,-1,848251,-1,-1,-1,70989,466446,887593,-1,-1,812482,-1,-1,62243,-1,349511,12911,-1,340070,539353,-1,129696,630642,-1,-1,876611,-1,-1,-1,-1,-1,-1,380127,-1,-1,-1,120962,-1,79905,978954,-1,-1,403071,-1,-1,777184,-1,936721,286711,-1,-1,728267,559669,-1,-1,-1,-1,454970,824910,685993,165447,454035,-1,168841,-1,878194,510128,-1,-1,-1,381245,-1,15918,-1,-1,803250,263746,805729,-1,-1,-1,-1,-1,460748,-1,-1,-1,-1,-1,638842,571898,555208,528932,-1,-1,647249,952678,430747,-1,579077,-1,652177,-1,150882,-1,-1,-1,511752,837262,-1,-1,-1,244247,-1,-1,-1,-1,-1,20059,-1,593271,777013,-1,-1,308974,947916,-1,880464,835304,-1,107601,-1,116798,142752,-1,315410,984611,-1,-1,821776,338772,-1,573485,455358,186581,-1,926076,-1,-1,-1,751259,-1,854111,398645,686587,270959,721243,-1,985727,-1,-1,653474,-1,708153,-1,-1,911873,-1,213631,-1,900784,982391,-1,-1,390603,-1,-1,481460,960972,884174,-1,813332,-1,-1,290116,-1,600192,-1,-1,-1,334819,208882,-1,-1,38433,880376,-1,554081,-1,458910,329694,-1,79335,-1,-1,-1,449587,964766,976944,-1,-1,-1,835889,675927,677673,-1,792739,-1,-1,110432,75489,-1,-1,-1,775339,499001,46511,-1,-1,408,215136,207835,-1,-1,-1,506451,-1,798000,819893,-1,-1,-1,791999,270231,763872,936128,-1,-1,-1,-1,-1,38035,910162,-1,-1,-1,513736,998544,-1,-1,-1,44050,110610,69812,-1,-1,825265,-1,-1,-1,-1,334530,611139,798200,873550,-1,-1,317407,695862,250927,374166,-1,444343,610064,-1,-1,413559,306075,-1,-1,667801,-1,-1,-1,355530,470280,-1,-1,99956,814990,329194,333688,225192,527741,-1,-1,-1,-1,108706,-1,846578,668028,668967,584788,-1,626379,327666,836908,370416,-1,-1,979668,-1,481513,656703,723931,736419,-1,-1,-1,-1,642705,522490,317536,-1,-1,923757,-1,853228,-1,105919,-1,-1,101312,114537,-1,-1,541119,856215,-1,633139,-1,39138,761163,826275,472496,852802,503518,-1,278809,-1,-1,78727,231119,354768,-1,130605,500730,677709,-1,80703,5299,872118,105391,632291,-1,-1,-1,-1,-1,-1,-1,-1,-1,920585,562086,272809,808301,739835,597665,-1,-1,-1,-1,-1,38545,360011,-1,841377,-1,870368,692219,-1,968449,-1,-1,195081,177850,337376,980856,917096,959691,974985,-1,169280,66136,582680,-1,938613,632746,-1,-1,22899,-1,-1,-1,675013,-1,860409,-1,-1,982312,561650,289093,-1,-1,223804,940018,117744,426802,-1,314304,750837,54379,-1,-1,766501,19126,197216,61510,285730,-1,-1,418500,830843,-1,-1,995049,48108,-1,-1,-1,-1,822582,931069,-1,-1,981644,-1,-1,142071,967047,-1,-1,680646,-1,-1,890427,-1,394746,201558,736394,925996,873951,-1,159715,-1,-1,-1,563228,140209,64438,-1,-1,875625,-1,-1,230010,23221,634347,-1,-1,-1,-1,954522,398015,564491,-1,-1,789582,477798,903294,-1,-1,-1,-1,836681,-1,-1,993474,64344,-1,-1,666370,-1,753234,-1,904723,460488,786487,-1,727971,96471,-1,-1,-1,-1,-1,-1,-1,208514,462371,-1,461700,745746,-1,544947,607488,815065,591512,696789,-1,56545,-1,-1,-1,-1,-1,483485,-1,84507,-1,86801,175825,-1,462033,-1,963002,130409,-1,516248,840,934949,791376,246829,-1,-1,399395,58172,-1,829389,-1,212583,-1,228985,-1,922624,758563,-1,318473,-1,-1,430557,-1,-1,-1,-1,-1,-1,-1,-1,282960,-1,-1,383909,-1,-1,-1,-1,-1,489033,190830,-1,706349,551144,-1,-1,-1,-1,-1,639222,-1,-1,842760,-1,20898,-1,881760,64195,-1,-1,-1,-1,-1,-1,-1,999437,-1,-1,386041,684616,-1,38601,-1,24031,372422,-1,70810,603851,687809,508298,-1,-1,16433,924747,719312,881399,-1,-1,-1,793077,281981,-1,37383,-1,-1,636322,658853,-1,869963,-1,194407,851379,-1,367424,-1,-1,488535,-1,831297,-1,389082,731767,152450,70138,-1,-1,968594,717994,-1,118061,-1,628363,-1,-1,-1,-1,315249,18272,-1,65380,-1,900024,736650,142494,739295,-1,667179,351116,381677,898775,-1,-1,426339,408144,-1,110729,-1,583118,285309,-1,801918,-1,-1,-1,-1,-1,730830,-1,414948,921771,-1,87159,511350,-1,796661,-1,-1,479767,-1,-1,391465,498484,-1,-1,17405,387903,-1,398900,342349,-1,440180,-1,-1,-1,746557,-1,-1,530234,-1,827186,-1,700310,131392,546670,-1,691491,994615,575188,705594,378670,891641,-1,978732,-1,-1,-1,-1,-1,-1,-1,451849,-1,-1,-1,41969,-1,851563,928149,870659,-1,-1,-1,-1,531924,633959,813399,96834,666932,-1,-1,643043,381052,-1,626431,-1,-1,737475,219515,923713,5274,-1,960252,-1,-1,703586,-1,-1,224787,-1,-1,518429,-1,564333,-1,-1,293212,412771,690706,666853,-1,-1,-1,811264,-1,315586,-1,-1,490328,-1,949774,-1,631035,672987,712595,-1,-1,-1,-1,-1,-1,-1,-1,330488,-1,327143,-1,524872,-1,-1,-1,-1,-1,-1,-1,-1,-1,831350,-1,224309,-1,541708,-1,-1,-1,-1,810630,-1,969530,971718,988508,223214,65406,-1,679383,878835,-1,-1,-1,911520,473303,378258,535296,861694,-1,-1,-1,-1,942439,-1,-1,-1,417678,-1,-1,-1,149480,629589,998024,293670,-1,272452,344147,383873,380993,-1,-1,-1,-1,642123,-1,-1,253314,276222,302115,349733,88577,537338,667804,584176,911206,-1,716923,-1,-1,228652,554714,410807,183215,392243,959696,103584,-1,801424,246173,-1,225661,533451,-1,-1,-1,746505,-1,14347,-1,185375,247444,-1,-1,255147,145755,903548,343323,-1,-1,-1,10791,-1,-1,-1,-1,-1,752431,-1,171966,-1,871510,770656,-1,618932,65912,-1,998111,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,341453,-1,-1,223116,692944,340944,89729,370864,-1,-1,586855,241521,248737,76864,417657,-1,-1,-1,-1,-1,121264,871051,-1,220712,200139,290337,319289,-1,627151,886534,-1,299709,229131,-1,725687,530004,997949,670552,730324,-1,-1,-1,-1,334045,-1,874832,836067,647990,175082,-1,-1,-1,-1,588333,819536,611187,232236,547366,204062,-1,783753,359066,-1,-1,870454,380671,-1,-1,217970,-1,-1,-1,619502,127352,-1,139933,718235,56335,950932,-1,240052,221614,407096,983414,63543,-1,-1,524498,-1,299116,169484,-1,633963,49680,-1,-1,546806,-1,522789,-1,-1,-1,222094,2700,281851,562711,-1,-1,-1,510476,374880,-1,-1,938326,637905,-1,716696,-1,-1,-1,259133,-1,998408,-1,-1,683012,614595,-1,684417,207352,-1,-1,-1,271841,-1,775416,-1,821385,146573,-1,961483,-1,627025,134374,462492,-1,160244,-1,-1,977925,422578,807033,24785,-1,-1,385321,704508,-1,267148,-1,315830,692313,-1,94576,905561,-1,-1,260582,423216,-1,-1,-1,496854,-1,-1,118974,945907,678914,-1,-1,-1,-1,-1,361986,-1,-1,-1,-1,388701,-1,578747,-1,988536,-1,-1,602957,996177,-1,165686,-1,740186,-1,-1,748822,-1,-1,-1,675224,623852,-1,803986,161347,-1,522069,423123,267701,-1,489968,-1,-1,736590,-1,341811,304609,-1,-1,290503,343717,-1,899584,885503,305332,-1,482068,-1,-1,-1,-1,-1,830609,532413,418607,846765,668251,780618,-1,-1,806529,345628,-1,282492,-1,-1,101605,531052,144583,-1,-1,-1,568134,195117,-1,-1,-1,276051,479746,447627,19714,816772,623307,-1,853102,5256,-1,-1,-1,-1,481750,615067,-1,995358,-1,301785,233407,597385,-1,-1,-1,929960,-1,-1,-1,255734,-1,-1,925542,-1,-1,-1,-1,845345,-1,65056,-1,86224,-1,866824,421819,-1,237609,416685,-1,552582,-1,269614,-1,-1,647032,552376,-1,-1,776011,-1,-1,-1,-1,-1,-1,844113,-1,293071,751502,-1,838515,-1,723781,124729,472614,489679,477319,247526,-1,126071,199559,-1,126347,-1,-1,-1,-1,734104,-1,-1,121684,579425,548832,-1,795031,515186,541404,138878,741262,-1,61799,357638,153002,963923,-1,303380,535823,889243,-1,-1,-1,-1,-1,182074,494426,958721,402605,865498,-1,709986,355395,-1,708705,-1,261294,-1,-1,729183,-1,-1,591968,-1,-1,212832,961354,622900,-1,751397,275665,96313,-1,408698,-1,-1,-1,-1,-1,323067,-1,567620,-1,945049,-1,734285,728640,837780,218274,-1,-1,548918,695247,-1,640193,61625,496825,-1,872568,708325,-1,283485,321238,306908,166783,-1,-1,971561,777848,-1,-1,89849,-1,-1,141674,-1,434471,-1,-1,-1,719035,367611,854309,-1,-1,46193,-1,-1,-1,-1,482721,203321,-1,-1,-1,-1,-1,576895,996381,149389,-1,-1,-1,45106,841741,933047,-1,-1,-1,876979,-1,-1,947081,369995,769790,136988,559173,-1,-1,530898,-1,600740,427855,152260,538932,413096,-1,184294,397808,285050,-1,-1,-1,518577,-1,-1,-1,-1,666350,-1,277723,950652,-1,264761,-1,202171,-1,239731,164975,648457,588111,402334,-1,104795,-1,-1,-1,588406,492468,65993,-1,-1,-1,192474,-1,613597,257553,-1,-1,-1,132813,-1,-1,225695,-1,-1,795663,-1,-1,-1,230969,399659,650022,651989,-1,-1,702643,351450,913316,643161,-1,-1,-1,982007,-1,-1,-1,406085,-1,677755,-1,851448,377232,-1,737679,-1,921800,112546,-1,-1,-1,325360,103840,-1,-1,-1,428818,468297,400752,49438,-1,249254,81348,53776,719354,-1,-1,574805,50295,-1,923574,-1,-1,-1,-1,-1,574952,423262,498819,90248,213652,751850,-1,-1,-1,-1,-1,450306,54422,-1,-1,147135,852013,522062,655040,-1,52731,-1,751135,-1,246411,-1,795291,403728,283398,974971,26570,254344,-1,443896,143204,474943,-1,-1,815626,-1,391741,-1,-1,-1,-1,112383,-1,-1,-1,968732,3527,-1,554479,141044,876635,-1,-1,-1,-1,884112,820801,748225,833362,-1,-1,449723,-1,380096,-1,-1,813429,-1,-1,-1,996380,-1,-1,198505,-1,659830,-1,682940,824837,414692,-1,-1,578784,-1,609503,-1,-1,298919,-1,140150,-1,74980,-1,-1,616125,973290,169117,-1,819495,522590,369224,-1,882664,340714,858698,61343,959612,665114,-1,708491,-1,-1,847411,57085,-1,566619,-1,22456,582124,-1,464815,-1,845197,-1,23101,-1,-1,337901,-1,-1,-1,-1,958308,491288,-1,181692,563055,966049,-1,-1,-1,833718,-1,230595,-1,337583,110391,345214,-1,561947,935795,132532,-1,-1,642175,-1,-1,932657,-1,192931,758811,-1,-1,356197,-1,296935,-1,-1,-1,-1,-1,518975,245216,-1,329451,-1,-1,894918,72508,-1,-1,801659,22138,-1,-1,-1,-1,-1,857691,-1,-1,267886,-1,-1,-1,-1,-1,253801,-1,478797,487521,-1,769832,-1,-1,104532,42796,732622,884213,999035,653081,-1,232200,-1,-1,993241,694761,-1,302542,58412,-1,428260,-1,-1,-1,-1,635440,-1,213152,961464,620102,-1,529883,-1,-1,879764,-1,744748,-1,-1,775280,-1,833717,438813,-1,457373,-1,-1,900565,-1,-1,217714,-1,-1,270492,-1,389498,-1,-1,604674,-1,358643,946060,-1,981728,-1,385684,822006,-1,-1,676087,436021,-1,-1,-1,360268,29669,-1,-1,894791,779316,-1,52987,-1,-1,505280,789697,-1,553611,546776,801048,738008,780036,-1,-1,-1,844633,-1,-1,-1,701493,-1,627442,97654,-1,486735,200409,300153,-1,680357,-1,832264,-1,-1,-1,250636,-1,291201,149030,637571,562432,-1,-1,-1,-1,-1,-1,-1,430329,-1,508840,612145,813624,33676,-1,839890,-1,570538,553166,328573,523601,-1,-1,-1,728279,-1,132021,-1,243988,-1,864076,222127,433680,278064,-1,-1,-1,-1,528667,434047,-1,39903,-1,27980,-1,-1,661145,-1,-1,-1,-1,-1,413081,301746,276907,910457,-1,973984,-1,31979,220069,355393,-1,822344,809979,554501,788460,-1,-1,-1,-1,264447,305443,-1,-1,129829,-1,372189,-1,63442,941600,-1,-1,712715,438030,648353,-1,-1,-1,-1,625719,272172,956658,-1,-1,-1,713611,166450,584534,-1,-1,-1,252843,-1,-1,-1,-1,726473,-1,-1,-1,-1,34684,-1,-1,969822,-1,71534,908539,824028,-1,-1,-1,-1,506674,-1,-1,-1,-1,-1,60035,-1,-1,-1,222263,527081,676941,-1,146534,997862,237356,342984,-1,-1,-1,120480,65550,321790,-1,357105,973000,833675,-1,-1,-1,240220,-1,-1,245822,92618,-1,671447,-1,606714,335314,977463,-1,778546,287309,-1,-1,-1,694540,-1,-1,-1,308317,-1,905588,843698,-1,-1,-1,-1,788634,-1,208034,-1,-1,397853,-1,-1,765746,-1,606654,726944,59634,-1,-1,49313,-1,538478,845926,470592,-1,-1,888763,-1,608803,204827,-1,-1,101221,-1,78910,-1,-1,412481,290750,285919,-1,138706,796722,557239,-1,549226,465827,-1,-1,-1,460701,-1,-1,-1,395656,120715,-1,-1,-1,-1,-1,-1,-1,-1,-1,131167,7269,-1,279021,-1,922816,-1,-1,-1,963509,267359,440441,-1,600965,864950,-1,-1,382642,-1,-1,-1,454532,-1,467277,-1,-1,858289,-1,229345,827044,743436,781652,917474,-1,218626,652316,660854,-1,-1,-1,626168,819861,378153,972615,-1,-1,-1,159765,34103,331527,490113,-1,-1,259720,-1,-1,-1,-1,-1,122151,907032,691576,-1,-1,745876,549796,-1,937606,278394,741976,907565,797422,-1,-1,16035,885587,658095,677974,506294,752937,-1,-1,-1,-1,195730,430105,506332,431805,-1,311921,292960,-1,-1,-1,699197,653091,67469,-1,980973,111358,824321,-1,-1,-1,-1,-1,-1,21990,540327,-1,-1,450756,-1,-1,-1,919254,200653,172147,-1,-1,-1,481874,967588,104502,-1,-1,580903,925957,692692,277245,-1,831106,-1,326742,898602,-1,-1,337497,-1,718595,-1,-1,130615,317655,-1,241246,-1,-1,213490,896174,682362,-1,396720,-1,429623,716468,794770,-1,-1,722094,-1,187705,-1,-1,260660,-1,603938,-1,638464,121815,-1,-1,-1,165924,770231,-1,-1,-1,787170,591067,-1,52365,483064,-1,355998,658493,470084,155740,-1,-1,-1,-1,784545,-1,-1,-1,-1,-1,-1,466609,317835,-1,650766,946285,818128,922004,927278,562973,-1,184263,-1,455535,69465,618810,-1,854923,-1,836027,36087,-1,16129,-1,836472,647276,-1,107845,862771,803440,466803,-1,-1,113675,251378,-1,-1,964898,-1,-1,636668,587683,-1,668151,-1,-1,403724,613833,-1,-1,482344,-1,939113,590914,-1,-1,-1,-1,-1,541325,860506,-1,992552,-1,87651,514916,348648,965657,-1,730373,-1,-1,278365,396946,-1,-1,-1,-1,133537,-1,-1,806002,-1,-1,-1,-1,662377,385699,-1,-1,-1,68040,-1,968344,937979,670127,863129,745549,-1,-1,317006,-1,-1,-1,-1,377797,458726,376476,567908,152670,714113,85389,-1,731659,872074,-1,-1,250793,-1,835130,907423,690,-1,-1,-1,324306,-1,605351,-1,-1,-1,32392,-1,-1,-1,402627,-1,224022,323616,-1,620852,-1,620258,-1,-1,191038,366797,-1,242530,441560,762361,820063,716802,323858,-1,-1,-1,-1,-1,998301,-1,520501,-1,-1,-1,-1,-1,165292,349805,403542,428483,873918,680153,-1,293812,973127,-1,112923,-1,-1,-1,-1,503063,194974,602440,-1,106638,68402,-1,298629,-1,876156,-1,-1,-1,-1,191988,198007,331362,179074,869394,-1,-1,-1,508410,812325,842377,-1,-1,871814,993157,532595,-1,-1,-1,576257,786144,805733,296617,-1,-1,268067,3403,490002,254227,740933,135099,130022,158544,372025,384912,-1,-1,-1,526366,620930,-1,-1,731794,-1,-1,107556,503278,261372,-1,474307,189851,274953,-1,523930,353726,-1,118319,-1,-1,712928,500036,675997,-1,-1,-1,976900,-1,-1,28026,-1,851650,-1,-1,988237,417238,-1,-1,201474,-1,-1,-1,231635,286276,920500,-1,-1,830332,896540,-1,152558,-1,416576,525571,96869,505611,-1,-1,171262,229811,-1,-1,-1,953136,876986,-1,457060,110780,-1,679575,792754,523752,287261,-1,-1,334366,-1,-1,-1,-1,-1,-1,-1,683432,11573,207683,230818,983855,-1,-1,681198,-1,400208,-1,-1,453267,660242,-1,353250,-1,-1,-1,-1,183928,870052,-1,969996,-1,-1,700183,97743,973075,19188,-1,-1,-1,802911,-1,-1,784234,218953,-1,479136,774252,440178,710389,-1,-1,485735,-1,240338,925638,165241,611186,496445,-1,-1,-1,-1,-1,-1,280993,-1,-1,-1,836009,48816,-1,676245,433742,-1,-1,366680,56270,-1,-1,909601,-1,-1,-1,-1,-1,-1,834548,-1,984965,-1,649929,-1,75672,863799,936991,-1,554732,-1,890732,154911,909631,289396,-1,842812,472801,61507,-1,-1,-1,116213,-1,201133,-1,539775,23692,324,393534,626537,-1,-1,497556,-1,532706,-1,784550,907421,-1,-1,821744,114022,535438,576470,-1,-1,11830,-1,-1,-1,513874,-1,-1,-1,868618,-1,369701,-1,-1,149757,-1,-1,646857,-1,-1,-1,-1,667493,-1,305678,-1,292431,-1,686238,944314,60319,232662,739473,-1,773385,79388,724334,-1,-1,894282,676077,118204,-1,-1,-1,83373,-1,-1,667235,293520,93596,617066,214997,381194,-1,-1,-1,319647,-1,797656,39595,365453,85316,139546,267882,-1,849601,827411,105817,-1,197933,161885,839348,-1,649950,250934,829106,-1,77167,-1,656572,231701,768112,-1,-1,-1,-1,-1,747618,814058,112707,-1,528616,-1,418675,501747,-1,-1,994179,54643,-1,-1,-1,380762,475796,786308,779386,-1,-1,-1,-1,881288,-1,505890,54055,891661,792490,402436,-1,892471,8457,417536,-1,20193,738126,-1,682104,645231,711451,-1,-1,-1,-1,941126,-1,414046,-1,-1,-1,-1,-1,909131,569980,847334,-1,-1,-1,126423,-1,673999,-1,614308,-1,706570,-1,884704,-1,-1,-1,-1,-1,-1,-1,854556,753517,683535,-1,557766,-1,-1,-1,6092,389292,-1,-1,-1,56834,-1,-1,-1,586034,-1,-1,-1,-1,239579,848901,-1,-1,-1,-1,-1,-1,148983,-1,-1,-1,916850,373151,233150,-1,-1,551001,829204,-1,962582,513978,-1,470434,751207,498132,966608,-1,-1,344505,381609,495005,816826,577013,50158,-1,960940,142992,-1,912956,906639,365489,-1,257451,-1,-1,-1,295625,-1,-1,-1,397728,-1,-1,313321,-1,-1,-1,996895,-1,-1,-1,496278,175585,60033,797246,657168,271131,-1,-1,-1,-1,-1,247371,-1,407518,-1,76550,3369,-1,-1,-1,-1,68512,743606,-1,577383,24202,950570,270850,752170,442033,419867,-1,237440,844218,235186,830940,-1,-1,848961,877551,283829,652696,90990,535108,-1,-1,-1,544186,996305,43136,-1,442042,-1,402677,99818,-1,295812,-1,52594,-1,732409,716411,-1,613159,-1,9118,-1,-1,-1,-1,290950,2075,288354,-1,-1,-1,496679,604502,149144,-1,642934,776119,780522,-1,-1,-1,-1,-1,401529,279342,909376,589368,-1,219992,991099,-1,634328,-1,451890,177121,-1,878016,-1,-1,349706,794163,292088,848347,59158,-1,-1,-1,-1,284237,-1,320645,-1,743137,-1,862330,534168,-1,210613,-1,261992,771648,-1,-1,-1,970473,-1,227930,-1,-1,890061,-1,-1,-1,-1,-1,-1,-1,706383,867469,849952,-1,105007,335378,235000,769862,614530,-1,514787,-1,-1,842789,429522,361066,617598,-1,-1,946666,-1,-1,-1,206452,-1,971437,-1,918509,204931,-1,-1,537619,-1,398453,472918,331831,-1,282406,920311,232660,-1,131435,7033,360285,-1,130070,183786,-1,363254,68123,859266,-1,741438,-1,309215,403489,213236,155041,997957,143578,456350,999063,-1,866284,351817,123851,581251,-1,297781,109774,251626,-1,-1,-1,-1,375347,270432,-1,-1,610335,-1,499571,131840,-1,-1,-1,-1,-1,-1,-1,731075,84470,87578,385438,-1,130230,128217,778637,-1,704975,32008,-1,-1,50189,-1,-1,-1,679202,-1,343180,-1,327951,246520,-1,-1,-1,206458,-1,455847,-1,-1,-1,240187,-1,-1,-1,741037,-1,306011,86994,68478,195434,255588,12479,108416,604592,119792,-1,900749,860268,-1,-1,841870,629416,916427,-1,-1,-1,423254,922166,773181,-1,929335,-1,669631,-1,332232,237595,-1,-1,530062,-1,151714,933271,942980,160935,-1,206428,987182,-1,-1,268308,-1,-1,204992,-1,398764,369851,509538,-1,510430,-1,123499,-1,-1,-1,-1,474175,549041,-1,-1,-1,-1,216527,-1,718209,963755,-1,862184,-1,-1,107677,-1,903902,-1,635622,360040,-1,900108,-1,659638,989322,-1,-1,871301,125114,-1,-1,-1,-1,-1,590943,-1,793414,923868,631978,852657,433484,-1,-1,-1,580181,-1,412270,-1,-1,627575,-1,610138,-1,121345,55846,943649,66354,-1,-1,985453,-1,106016,-1,445758,-1,-1,154892,-1,932687,-1,-1,263576,873689,-1,2030,167414,-1,102521,757274,551427,543969,-1,-1,738869,383243,-1,423568,978421,785514,-1,-1,-1,-1,523954,124277,-1,-1,-1,-1,-1,435013,-1,-1,888100,268772,-1,-1,814901,950952,-1,-1,12570,-1,-1,143124,-1,-1,-1,-1,64086,42745,348417,-1,664713,-1,-1,845039,280383,720616,-1,104961,-1,-1,-1,-1,731782,788159,514537,-1,473328,-1,522800,577546,-1,235981,206487,795114,697054,501559,-1,757172,-1,691618,-1,-1,965294,552734,-1,-1,84331,449289,130742,742970,667386,162864,317402,-1,764320,335938,-1,449271,-1,565379,-1,726811,-1,-1,142732,-1,239394,-1,-1,895557,286587,-1,-1,-1,429844,-1,965042,471682,483736,974989,812651,163539,549389,910671,14463,849191,855513,-1,320865,775214,981712,-1,-1,-1,-1,229212,451927,58145,21785,440507,-1,239220,88528,182608,336322,576890,942398,-1,-1,-1,585547,-1,-1,27778,171686,625449,-1,865737,618092,-1,-1,-1,-1,738753,905761,837124,628110,876726,583691,-1,-1,-1,432355,899277,234043,-1,-1,-1,816435,-1,-1,-1,931012,302997,477131,-1,-1,312999,-1,240924,-1,-1,668843,-1,684633,58376,-1,5246,-1,-1,-1,-1,740811,288367,284098,993792,-1,-1,-1,85115,-1,424202,-1,-1,-1,42365,-1,434706,-1,900657,765643,-1,81223,417949,321161,695154,887412,-1,586005,114003,368502,137069,-1,-1,-1,-1,480617,365098,-1,642227,-1,776306,-1,-1,-1,477043,974408,601756,-1,-1,100473,140089,593722,208538,964738,-1,-1,-1,570244,65337,-1,660996,986869,810805,-1,170309,700506,-1,-1,-1,-1,379373,903354,967354,-1,908759,-1,85507,520280,-1,879140,-1,167475,-1,216269,567842,51645,-1,-1,216693,-1,225794,404230,501115,-1,-1,34200,197550,896063,915564,-1,575278,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,880635,-1,-1,240345,757205,727768,-1,177372,9477,-1,10088,9355,-1,111819,-1,-1,773637,-1,-1,787006,439043,876517,227207,723155,-1,-1,932069,643711,6994,-1,432666,609043,520344,716892,-1,-1,15346,240095,-1,158388,754721,-1,-1,-1,239866,-1,-1,57677,279524,394997,-1,430687,871702,-1,-1,-1,303153,528740,-1,609672,-1,-1,-1,-1,-1,-1,-1,339972,477815,928624,-1,406485,-1,666034,-1,-1,-1,-1,-1,-1,-1,752919,655156,298459,136313,796866,668316,748551,-1,714911,969810,844150,962800,-1,854125,590338,378459,616598,407498,327437,799253,527007,-1,-1,689013,793396,368696,511853,927644,-1,-1,-1,856841,911952,-1,798439,643787,855182,-1,-1,-1,489483,541496,-1,-1,-1,420742,591924,-1,104993,-1,434922,-1,-1,103684,803330,-1,638040,-1,9971,-1,-1,667607,926977,428547,130226,-1,760926,-1,-1,-1,-1,-1,-1,-1,-1,806609,643176,312065,501307,269325,410882,-1,854236,-1,-1,750997,-1,857408,4273,-1,-1,603679,-1,-1,-1,-1,-1,-1,-1,-1,-1,824585,707168,-1,976945,187756,462134,-1,137255,642409,875614,147100,-1,-1,-1,315288,-1,146939,-1,234636,912878,-1,997039,358029,466573,954791,697887,-1,74661,-1,512549,-1,864058,528990,-1,473318,381152,-1,446074,541602,676424,-1,-1,126305,-1,-1,803476,-1,980959,756879,-1,947264,433729,-1,-1,-1,122557,-1,-1,-1,-1,505971,815809,-1,562623,165887,654638,-1,403711,505447,-1,837134,397629,-1,-1,-1,-1,-1,-1,795526,-1,-1,-1,-1,-1,-1,52283,868767,124415,-1,-1,355991,-1,-1,984794,214930,-1,-1,116560,-1,249286,-1,-1,-1,-1,636485,515212,-1,-1,-1,734999,451505,725686,-1,66113,282916,234246,154600,-1,824402,409359,471876,875299,-1,956463,258997,-1,346499,945226,-1,-1,488207,-1,-1,457222,-1,530433,52950,-1,-1,-1,-1,-1,38512,-1,389166,481840,926848,-1,478630,-1,-1,639895,998950,-1,238118,-1,811489,606837,945291,759082,-1,704475,-1,-1,439485,-1,137767,-1,-1,873937,281010,927185,-1,-1,237026,-1,199892,-1,833033,65465,-1,-1,158755,213072,-1,-1,447782,-1,124643,170954,-1,554480,402501,392302,-1,955241,-1,-1,416790,263365,-1,-1,-1,-1,-1,-1,-1,437915,978337,-1,316798,409397,-1,-1,-1,225179,-1,32582,-1,732901,-1,-1,470129,-1,80378,535656,366026,366630,541748,-1,756336,-1,-1,125386,180836,107499,-1,-1,-1,-1,564364,157648,734775,-1,-1,859686,814151,605093,154967,71413,-1,265699,-1,-1,845786,467930,-1,-1,141766,-1,-1,-1,67812,-1,-1,-1,-1,454042,-1,186741,-1,-1,-1,745906,282893,-1,667688,-1,824161,324799,611643,389880,461609,516130,-1,450578,-1,223169,918578,-1,-1,650868,243935,-1,-1,-1,-1,-1,596744,-1,973113,478715,-1,617793,397413,868998,788515,136511,-1,695082,-1,67412,-1,-1,-1,465375,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,793997,-1,280433,-1,637474,844958,492088,-1,-1,358950,261412,739237,418630,-1,-1,-1,637206,-1,442931,-1,216481,-1,94213,890710,865335,-1,721170,-1,-1,14684,691169,-1,-1,-1,-1,-1,-1,-1,334174,328648,158811,-1,237788,-1,788,544765,-1,-1,400971,-1,753677,-1,-1,398604,192249,34121,-1,-1,-1,-1,480477,-1,428537,607640,820504,-1,320512,-1,-1,251002,893457,-1,189708,-1,641354,848360,386599,-1,-1,547724,-1,453072,-1,16605,-1,-1,708762,320027,-1,-1,100523,475374,-1,458822,984439,102927,437688,-1,-1,-1,940919,926910,-1,995805,-1,-1,-1,409101,656452,-1,-1,424985,772667,-1,934351,355751,478720,-1,499952,495109,360763,936167,-1,392393,-1,-1,829205,-1,-1,-1,-1,-1,721457,-1,624780,4126,134306,759684,-1,-1,-1,464672,931377,129108,506875,121634,562301,-1,-1,-1,743941,-1,837843,421804,-1,-1,-1,-1,6520,653127,790603,745184,103930,-1,-1,124500,-1,-1,-1,-1,-1,-1,-1,672968,497492,-1,677013,530802,989312,-1,-1,-1,-1,380409,-1,-1,509403,-1,928483,-1,-1,-1,636066,252725,-1,-1,609563,-1,715591,266845,-1,-1,542462,713111,-1,293843,-1,-1,223863,60647,163449,559101,-1,-1,813547,-1,886182,-1,-1,198880,938412,-1,-1,444147,-1,-1,367475,-1,515851,553177,279636,-1,-1,736323,453623,873398,143866,664343,-1,649714,-1,625804,617336,676898,-1,-1,76353,-1,-1,262023,50430,270297,240687,-1,734774,-1,-1,-1,-1,633386,-1,903035,-1,-1,354515,-1,901530,646929,113503,-1,967705,-1,991296,865354,-1,-1,-1,-1,960088,-1,955613,695350,-1,-1,-1,738825,443939,998435,-1,472292,-1,127058,348763,4827,-1,106950,-1,-1,-1,-1,307524,-1,-1,138935,-1,-1,-1,17909,-1,-1,259255,-1,-1,909768,-1,116933,-1,-1,-1,-1,684028,-1,843181,992283,218826,-1,-1,79023,-1,-1,561030,521702,593460,419454,-1,135180,795592,346892,924643,-1,-1,-1,64282,945613,175723,-1,205597,475733,-1,747577,-1,553629,239137,-1,659556,149024,438333,510095,881291,-1,908507,-1,801699,707261,253365,-1,-1,807228,-1,-1,-1,412106,385813,690267,-1,-1,-1,788164,801260,870809,949671,977887,-1,-1,699299,982704,392661,249320,681574,-1,-1,5071,-1,-1,-1,-1,-1,429566,552600,-1,587050,872451,161026,563913,-1,153182,513578,868186,-1,-1,962605,104623,-1,313773,-1,916970,438639,769092,227260,703230,88817,659908,449161,743435,-1,373545,-1,-1,-1,-1,-1,326856,-1,-1,-1,-1,-1,-1,540838,-1,12332,81490,-1,894839,567742,-1,826232,-1,-1,-1,307722,675129,-1,-1,-1,-1,-1,924753,-1,415097,656541,329585,501672,610137,-1,-1,698521,-1,609269,998254,-1,850105,369926,-1,-1,60334,981413,634496,1014,622892,-1,601305,-1,27549,563137,-1,257471,715410,357550,268636,-1,-1,-1,-1,537851,512311,980249,-1,-1,958276,60677,-1,682972,203791,554602,-1,656917,-1,-1,369358,-1,851565,-1,-1,541491,407310,199512,660492,858054,-1,-1,699084,341647,541375,-1,-1,975741,-1,-1,-1,-1,297954,-1,-1,-1,138540,307529,-1,508318,739627,-1,278541,591237,-1,-1,390272,-1,-1,-1,-1,-1,-1,-1,564598,838954,-1,230128,483659,991674,-1,361512,-1,996426,515322,418655,-1,-1,924021,-1,-1,-1,-1,-1,50822,535420,-1,116896,-1,-1,-1,174853,-1,874649,375438,-1,882744,-1,-1,396785,3731,-1,-1,-1,-1,-1,151744,-1,613532,422,78268,-1,216078,223161,-1,-1,-1,-1,599155,-1,530417,186366,-1,-1,146393,-1,-1,-1,-1,212913,248906,976277,-1,194425,-1,360502,852377,262071,-1,933562,-1,-1,-1,-1,-1,243364,-1,-1,-1,-1,714123,-1,-1,-1,606182,980575,510382,915030,-1,932882,740584,-1,-1,591686,-1,-1,-1,766405,920424,-1,463970,460418,975777,-1,-1,372094,932496,-1,-1,698095,663625,342351,-1,102233,386450,-1,553533,-1,-1,377779,564416,-1,530900,608046,-1,-1,-1,128944,-1,-1,242870,-1,114488,-1,-1,635722,23608,389074,628887,-1,101730,-1,-1,-1,-1,892527,199292,-1,-1,-1,891616,237775,819000,83412,497899,-1,-1,757106,391558,-1,-1,861343,-1,762237,-1,-1,-1,-1,-1,476173,622428,-1,416410,946561,-1,-1,-1,360793,610626,-1,-1,-1,60411,300698,309922,470230,819647,123613,81149,-1,369106,559513,-1,467243,-1,-1,-1,450746,-1,-1,-1,-1,930571,969327,108865,202654,381620,842938,-1,-1,-1,-1,820379,377326,-1,852525,110426,139965,-1,29945,483779,172874,-1,-1,148483,384826,575932,-1,-1,939594,183327,27964,-1,742084,988778,-1,591680,-1,768757,-1,997837,-1,-1,-1,53129,879015,965480,10058,-1,-1,344110,-1,-1,135405,-1,320590,-1,-1,949028,241581,65503,208043,-1,-1,935701,-1,321268,-1,-1,628621,14965,842924,-1,256565,513448,-1,-1,433904,884715,-1,-1,334383,-1,319668,468866,834272,-1,899581,971689,712020,-1,985839,-1,-1,326079,-1,-1,-1,-1,578112,-1,79860,541461,-1,274973,-1,819702,-1,-1,72080,-1,342620,-1,72759,-1,228630,900188,-1,-1,-1,-1,963128,-1,-1,-1,42373,119893,472132,909984,-1,226903,-1,885425,-1,-1,-1,-1,-1,-1,697907,400730,-1,-1,630467,-1,689267,150709,-1,-1,-1,760928,-1,734129,-1,245470,741074,553555,803380,986907,867707,710199,-1,-1,-1,-1,-1,217468,-1,956964,-1,-1,-1,-1,-1,-1,-1,-1,611504,915541,505222,-1,174979,312497,442536,-1,984007,927416,-1,539016,-1,-1,-1,-1,12626,-1,-1,861760,-1,733451,-1,435287,169946,284614,364566,-1,-1,-1,-1,-1,-1,-1,-1,-1,27962,-1,484017,-1,818020,898830,-1,-1,476655,762899,-1,-1,-1,282908,-1,621387,-1,957982,254211,-1,-1,530701,-1,-1,863130,518672,-1,144878,142365,145285,887439,600266,759772,-1,693780,-1,284340,-1,-1,811162,-1,-1,902822,750186,-1,428504,983826,134062,548370,-1,-1,-1,-1,520474,57357,-1,85267,-1,586030,897107,404148,-1,-1,-1,692856,667337,-1,-1,222331,-1,-1,141539,512523,-1,-1,-1,581423,-1,738638,-1,305094,619852,957017,106294,101283,50766,931464,-1,-1,991974,201027,-1,-1,413917,526483,-1,113598,-1,836374,80411,954845,317879,250717,-1,482635,606324,17666,252701,874820,207030,-1,-1,-1,680954,828673,-1,178793,638068,214642,-1,289370,-1,-1,-1,778707,-1,86808,-1,687867,780865,295298,-1,-1,485429,-1,729133,-1,263350,-1,-1,466637,543050,-1,120665,-1,142499,-1,-1,-1,668379,-1,-1,61971,209428,238871,-1,-1,741222,652872,618266,-1,-1,-1,13489,-1,-1,637801,-1,266295,713968,-1,369185,-1,-1,9584,12175,64943,364043,-1,667888,907785,-1,734766,-1,861591,-1,-1,98977,-1,614322,717088,421204,660622,799629,-1,-1,-1,883377,-1,-1,696857,607397,-1,355731,-1,-1,-1,-1,22640,-1,379740,419695,457803,314609,-1,-1,286031,-1,-1,-1,836253,509850,75774,233295,409850,-1,-1,-1,-1,844812,-1,-1,-1,-1,-1,375660,-1,665644,194119,810028,439685,-1,-1,-1,650063,161460,-1,282586,809017,-1,-1,987687,842903,-1,14589,67570,496030,870878,32861,213890,-1,-1,-1,-1,-1,576539,360504,337905,-1,339224,667499,280243,-1,-1,-1,-1,-1,137017,784290,934926,-1,277320,-1,-1,266897,413598,943272,-1,983583,469420,491899,428283,-1,125590,624233,297737,-1,-1,305217,-1,865444,929037,932359,-1,-1,-1,-1,977539,338024,655745,-1,827752,-1,-1,923836,-1,1730,-1,993891,912492,-1,269491,752521,201165,496376,-1,134981,-1,-1,-1,-1,-1,-1,705643,-1,-1,495335,-1,-1,-1,-1,12385,393458,437091,-1,-1,72406,710826,488472,-1,-1,-1,-1,-1,526732,714283,-1,-1,-1,605381,-1,-1,-1,464636,-1,552170,-1,8639,856852,577899,-1,-1,120627,419939,382717,742935,-1,79725,-1,896281,104314,272097,196141,819963,-1,-1,-1,-1,681240,486803,-1,-1,-1,-1,-1,-1,394568,-1,-1,568859,-1,-1,85676,-1,-1,49435,646002,-1,911028,-1,-1,31849,125524,749033,954894,89980,188678,-1,-1,-1,-1,658606,-1,113594,847371,173905,963662,-1,886061,301009,-1,-1,711541,145245,-1,-1,459136,-1,164892,-1,-1,370986,266876,466729,-1,871557,676317,-1,-1,-1,-1,-1,-1,-1,-1,-1,797789,221986,268136,886003,156661,-1,455318,-1,-1,-1,-1,-1,301622,235259,349334,264835,824252,-1,-1,174536,438557,945221,772734,840483,-1,-1,-1,-1,-1,-1,-1,670721,79084,-1,659485,768736,667450,-1,-1,-1,855073,987177,394692,-1,-1,-1,878867,284941,585092,-1,-1,-1,-1,-1,-1,-1,284853,-1,-1,-1,-1,-1,652285,42959,-1,-1,850798,901978,40570,355163,-1,98902,-1,-1,547800,-1,-1,-1,-1,281449,-1,-1,242927,-1,283582,-1,352330,-1,-1,342539,250753,177409,517598,-1,-1,-1,14772,479512,979591,-1,515216,160829,911507,-1,-1,-1,-1,813745,653028,736018,-1,882804,-1,-1,79035,202185,-1,-1,572872,679106,111903,-1,53231,519919,780072,-1,-1,-1,611432,-1,931472,-1,-1,-1,-1,-1,-1,315189,48887,255981,388550,493186,663035,-1,376742,966801,-1,586884,-1,-1,72942,-1,800407,212082,-1,-1,492294,982099,723261,840339,-1,277303,147535,-1,31446,250905,-1,-1,-1,777676,-1,-1,138747,710138,768172,57939,853471,339362,808693,877471,-1,562816,-1,964030,-1,-1,287906,-1,-1,334305,593494,-1,484548,-1,-1,44095,738300,-1,-1,-1,-1,295337,154739,-1,511432,-1,-1,847100,220077,669365,913204,504052,331729,-1,-1,629588,115454,-1,757578,-1,-1,-1,615963,54969,-1,-1,-1,-1,908999,419683,672236,933024,663657,-1,487604,-1,329326,-1,-1,15686,-1,9119,-1,617642,-1,769712,817921,-1,-1,40283,-1,695840,-1,-1,-1,659457,-1,-1,-1,-1,858682,-1,778548,948282,707298,-1,-1,-1,-1,751319,-1,-1,443484,473913,653525,-1,451256,-1,307422,20573,748549,173038,126575,486066,-1,-1,-1,726357,-1,648579,-1,-1,769883,-1,456573,-1,353249,-1,-1,599397,-1,-1,-1,-1,-1,592757,964721,666729,-1,-1,-1,438642,588646,-1,104078,919787,-1,486515,185981,489480,-1,-1,176823,258103,-1,-1,977110,-1,-1,-1,969558,-1,-1,-1,288200,39168,279689,-1,760506,319955,-1,46442,-1,-1,655200,-1,-1,-1,-1,-1,526636,894386,-1,695852,-1,-1,786896,669711,748206,653174,960926,129981,295855,635871,-1,35427,880639,515837,-1,53959,-1,-1,713623,879838,636980,-1,-1,-1,-1,-1,219864,-1,-1,-1,364565,-1,-1,-1,467066,18994,-1,73168,234805,-1,-1,571711,-1,230570,572098,-1,-1,-1,645053,658037,909962,-1,738615,-1,996073,220513,-1,732131,-1,13347,728391,-1,-1,320347,-1,399367,-1,16953,463017,227235,149278,895209,500197,248063,-1,971087,769200,-1,102987,-1,883637,-1,575859,292842,379946,43572,-1,744851,-1,-1,-1,567754,-1,-1,381438,362727,533399,-1,527249,-1,912187,-1,137438,856626,-1,825246,110833,550598,-1,887517,-1,708061,434489,791641,-1,464164,958784,-1,673380,-1,-1,357038,242694,-1,-1,-1,94677,-1,223851,-1,-1,562045,-1,-1,667097,24420,-1,-1,683424,966606,608425,597616,710617,437800,402734,546525,915877,-1,863379,385428,882904,-1,-1,-1,980598,-1,-1,469511,230864,-1,555501,305163,-1,749151,-1,120374,740903,225456,-1,493660,186475,-1,-1,226152,798324,545501,-1,-1,136845,-1,332345,764909,-1,395845,-1,861865,-1,959060,980854,744858,-1,320139,384163,771499,859496,421883,-1,291690,-1,949604,-1,281523,-1,-1,-1,608072,747782,-1,-1,-1,967892,-1,-1,951609,-1,691989,957071,60512,-1,402394,377392,-1,-1,-1,-1,171038,-1,538987,-1,167183,588442,849208,-1,298223,-1,490250,831193,-1,-1,372869,182705,797920,-1,-1,423561,396326,870692,-1,524187,-1,-1,460026,-1,-1,756214,404422,346909,-1,-1,688279,905298,692724,315634,-1,-1,-1,-1,-1,-1,558974,920970,94195,694566,-1,-1,535237,106704,909305,296338,-1,-1,-1,408148,228462,-1,323786,-1,613213,-1,934098,-1,329959,814565,-1,-1,69998,114962,-1,-1,-1,-1,-1,-1,361366,654201,71946,-1,-1,622143,584927,169932,-1,-1,311331,-1,-1,-1,415194,203180,-1,-1,220393,435368,-1,748763,526787,-1,-1,-1,-1,-1,331976,-1,-1,-1,-1,-1,-1,169537,-1,167765,-1,869077,671224,-1,439549,-1,184155,908100,24006,-1,-1,-1,740143,619832,-1,755541,512796,211887,529553,-1,764578,265176,-1,-1,450007,103383,246281,-1,-1,-1,14933,-1,70403,296083,-1,-1,-1,-1,-1,-1,397509,-1,-1,321716,579518,452649,765665,91441,-1,828483,153891,295710,-1,-1,680044,-1,-1,392430,-1,-1,786401,959202,-1,446354,478991,-1,-1,74497,715137,15300,-1,-1,-1,967024,-1,131109,850230,-1,338541,653811,-1,-1,-1,325448,617557,-1,-1,-1,-1,-1,113729,945437,419473,285655,649385,567866,-1,-1,913283,-1,-1,360216,-1,-1,-1,-1,-1,-1,-1,-1,834071,477472,324778,-1,180812,-1,-1,-1,128135,-1,301990,-1,637560,713388,812933,-1,-1,-1,-1,4447,-1,-1,-1,-1,127383,93367,-1,-1,221755,536349,144593,-1,-1,-1,-1,520453,607390,384537,231796,161652,700886,64793,-1,-1,287973,-1,-1,877369,-1,87573,-1,74169,555405,48680,961992,1034,19777,716814,137735,-1,595077,-1,193269,-1,-1,336980,-1,931955,-1,247945,362503,315568,251072,-1,809061,-1,345754,-1,-1,-1,-1,-1,-1,-1,-1,-1,108131,194929,-1,-1,-1,-1,532516,684944,-1,-1,702810,394935,7241,-1,-1,729828,-1,-1,890385,342677,-1,546818,514111,-1,-1,231773,-1,-1,219745,-1,637360,-1,-1,77737,-1,-1,-1,-1,946811,-1,995544,159948,516379,337709,416709,203679,586721,-1,-1,-1,293576,-1,932295,-1,-1,382135,934160,-1,-1,-1,983131,-1,593889,-1,-1,206048,-1,-1,-1,-1,-1,729019,-1,-1,-1,374835,603844,404852,-1,-1,247095,958309,-1,-1,649392,260175,-1,-1,788600,-1,469455,956031,-1,686112,181702,-1,-1,-1,-1,888120,463603,605362,-1,764352,969920,316007,-1,-1,-1,931680,681758,-1,24890,123411,305548,-1,-1,660809,-1,332441,413368,-1,-1,-1,-1,-1,588270,-1,19715,186250,768108,-1,165842,-1,321953,221882,828779,453171,609116,-1,760135,609687,792352,-1,-1,650451,-1,557661,-1,143532,-1,342096,-1,-1,-1,293045,590870,-1,943416,-1,-1,-1,-1,-1,-1,827276,-1,755482,-1,-1,-1,-1,432093,238598,367422,-1,479482,-1,-1,-1,-1,-1,-1,-1,-1,875870,229119,-1,-1,871756,-1,-1,-1,-1,716717,-1,-1,628179,-1,-1,-1,-1,357362,396154,173190,-1,-1,-1,583130,862671,710877,260068,234549,194243,106780,-1,749361,446774,-1,-1,511595,-1,396204,924390,848150,-1,476095,-1,215424,175203,-1,609207,-1,846428,664414,887071,-1,867749,277714,-1,732813,990986,-1,391068,-1,305437,184556,574137,-1,80942,725511,-1,503223,-1,-1,765102,182872,381594,417744,-1,-1,-1,914198,-1,737934,685732,-1,-1,166566,-1,-1,-1,405705,655325,-1,-1,572676,616305,-1,-1,529368,699651,-1,-1,940086,-1,-1,-1,980949,-1,382839,-1,152105,804341,-1,-1,582331,-1,874187,227070,557373,-1,610397,-1,762079,-1,4885,814108,622891,565558,675489,167411,-1,-1,728972,142824,-1,291573,-1,628680,-1,577758,-1,199598,183203,-1,639489,-1,227058,-1,906327,-1,611254,842400,14505,496099,360555,119287,-1,-1,-1,-1,995399,967181,524527,-1,44323,-1,549168,520353,-1,-1,431466,564817,12629,-1,-1,-1,-1,-1,-1,-1,122037,-1,-1,82639,467305,-1,-1,-1,547628,457029,350545,109803,984684,-1,633141,-1,435363,-1,-1,-1,-1,536903,-1,-1,39083,902282,359546,801255,233263,316158,-1,271517,-1,901085,-1,-1,-1,556369,374490,-1,-1,-1,-1,-1,675751,-1,-1,264802,984163,266601,821913,922839,514349,80653,-1,-1,648837,-1,-1,802077,-1,-1,439078,81622,-1,817980,-1,-1,-1,748828,-1,224347,496037,302365,-1,166421,431618,-1,797559,669808,-1,329303,-1,999685,-1,439909,187011,-1,-1,-1,437854,541782,-1,-1,-1,-1,-1,73342,-1,255280,274479,-1,916016,-1,889982,-1,-1,-1,-1,349328,447880,416604,969560,-1,664469,843669,315254,881374,207969,-1,51064,142124,290682,304266,437918,903148,574381,-1,-1,903556,-1,-1,-1,-1,-1,-1,274737,373531,-1,249744,-1,-1,-1,-1,282268,139529,925553,898217,-1,-1,266834,-1,941754,-1,-1,-1,159168,870128,610044,606756,27688,-1,-1,955448,392167,511719,474061,-1,-1,-1,385022,976161,208033,88408,306209,618219,790827,204895,-1,-1,-1,196936,-1,-1,-1,-1,-1,-1,629629,-1,-1,-1,-1,-1,-1,-1,418395,-1,-1,233963,318634,782532,-1,868517,225027,413075,270045,-1,-1,-1,-1,-1,360130,-1,-1,753872,715066,-1,-1,363329,806238,189924,-1,-1,238616,527272,-1,445322,-1,478538,322043,-1,-1,437860,631261,-1,159498,11628,-1,152359,91891,-1,-1,-1,329125,-1,-1,210974,864090,280884,229348,613329,651252,-1,561183,-1,-1,436295,-1,-1,863045,344521,-1,918436,402218,-1,-1,783948,195770,443341,-1,205514,-1,-1,-1,-1,-1,-1,-1,-1,279783,330259,-1,569704,119487,309000,484007,-1,121837,-1,28751,-1,-1,367991,-1,367593,-1,375982,756299,-1,-1,826244,184259,-1,-1,-1,-1,758624,-1,-1,114536,802271,988262,24945,422113,37864,767549,-1,261203,75619,338677,729865,-1,908940,36612,4373,-1,-1,262137,-1,-1,784339,-1,-1,906828,-1,270483,-1,416789,710906,-1,221033,-1,-1,827782,-1,-1,260665,723159,402522,223433,-1,70952,918349,142108,-1,334382,-1,-1,-1,665981,979084,342793,-1,-1,986975,652467,-1,926884,708396,352689,-1,-1,790795,-1,-1,-1,677125,-1,975205,305311,-1,395047,-1,-1,902708,171187,335929,897317,279267,664322,-1,698218,270886,-1,722380,-1,910948,542584,440930,956465,990715,-1,-1,-1,-1,34000,-1,-1,-1,451677,-1,118511,759011,-1,903913,-1,247948,724526,-1,-1,955626,730570,-1,442641,624736,477715,-1,823685,-1,160014,562619,57716,-1,764053,138533,-1,189003,-1,104118,979372,169222,-1,-1,231999,137101,184128,690335,-1,959561,131302,258301,942067,-1,76943,720757,975432,-1,-1,689560,350278,-1,508917,-1,102349,-1,-1,932666,-1,-1,729817,-1,788228,128044,-1,46244,917878,978605,666856,313016,566076,620158,429808,215790,614082,-1,-1,150671,-1,-1,415668,-1,420151,60106,-1,-1,-1,604186,-1,-1,-1,-1,779532,-1,-1,879339,-1,-1,61863,-1,982002,888661,804665,-1,738159,596346,-1,476454,689746,353409,-1,215641,-1,591250,77806,519759,-1,-1,-1,381910,-1,-1,58206,-1,345488,-1,-1,-1,-1,-1,-1,798696,-1,450646,-1,-1,335735,792087,478192,-1,-1,268434,162932,534771,-1,484288,-1,-1,689241,-1,-1,285138,-1,873659,155310,-1,499355,-1,-1,-1,-1,-1,-1,-1,-1,-1,215311,517900,130477,876350,-1,-1,161327,573681,423180,263465,198367,-1,-1,-1,666628,-1,498613,-1,511008,614455,176671,490033,904394,-1,-1,-1,-1,-1,-1,854162,78895,-1,102215,634452,408019,-1,-1,991963,-1,265124,-1,48495,-1,929290,-1,-1,-1,767979,987067,214366,192578,878213,-1,897457,15751,913061,304694,631743,-1,144984,-1,-1,-1,-1,870542,322191,-1,-1,-1,-1,-1,-1,-1,301911,-1,-1,-1,778714,936073,532957,971013,-1,988175,-1,865987,-1,692566,-1,-1,-1,90360,439493,-1,939122,-1,497279,-1,931236,-1,626037,971604,-1,-1,-1,706610,-1,-1,231830,-1,-1,433602,817135,337446,-1,405813,-1,-1,69395,-1,210251,791664,-1,314984,-1,464156,-1,962215,-1,781911,775087,329264,756376,-1,643394,707259,-1,655987,93958,837584,-1,630710,765175,-1,776262,-1,-1,-1,-1,-1,46482,378322,-1,409598,959210,-1,514552,-1,-1,808913,-1,438610,-1,-1,602523,-1,815830,539432,884337,-1,108760,-1,-1,306689,-1,-1,497417,20065,538301,999864,-1,-1,-1,102457,796304,757826,728596,219841,655522,-1,-1,989216,-1,800759,-1,626732,268169,-1,-1,-1,264138,191119,19016,808561,-1,378862,477904,-1,-1,726955,673141,859836,4005,-1,-1,644630,-1,242256,619212,-1,612889,-1,-1,-1,-1,-1,40104,-1,177143,326145,232147,-1,186086,-1,-1,-1,-1,-1,-1,-1,-1,-1,878476,513584,154065,-1,-1,156891,429905,-1,-1,565586,-1,915689,-1,271604,-1,226993,-1,-1,-1,-1,846457,827720,-1,233839,-1,268837,967446,-1,-1,336618,-1,408877,-1,-1,553680,-1,493430,36653,-1,-1,-1,-1,270563,-1,197337,-1,-1,785404,-1,914928,-1,602353,630779,840367,-1,-1,-1,841099,-1,-1,-1,-1,-1,334830,269055,714166,551770,953378,679973,251016,-1,455970,64458,316993,-1,-1,332913,-1,-1,-1,-1,-1,-1,922335,256463,-1,895418,287252,-1,115560,-1,-1,-1,179329,-1,187520,-1,-1,745824,-1,510551,963658,-1,-1,-1,-1,-1,-1,-1,-1,144539,602241,650832,-1,-1,38113,-1,-1,-1,98742,178258,-1,-1,169963,-1,186855,790797,-1,-1,-1,407669,439514,819818,184401,-1,63296,-1,513147,-1,42519,-1,-1,-1,217703,589864,272843,-1,674126,210989,439865,179304,-1,226934,325702,534916,362757,520464,-1,679579,-1,-1,813988,-1,240522,-1,-1,-1,723033,-1,-1,-1,68360,57953,-1,906902,-1,838688,614953,-1,-1,84007,-1,-1,-1,209272,-1,728191,-1,-1,-1,994875,-1,916133,-1,-1,800244,725009,300934,-1,953369,-1,-1,-1,-1,-1,426700,812685,238905,-1,88576,2400,-1,168992,301462,105582,-1,-1,721008,822079,-1,-1,850140,-1,461412,-1,-1,-1,-1,-1,-1,386997,532492,-1,858268,128514,-1,277067,395784,-1,864216,470737,-1,153210,245737,972403,-1,-1,-1,-1,-1,213848,-1,-1,-1,-1,168453,550642,-1,829285,329818,-1,-1,634193,-1,-1,685498,390280,465475,694508,-1,832384,382162,-1,-1,-1,542948,-1,191604,-1,667987,562657,130374,-1,372913,-1,570246,-1,-1,509846,-1,-1,77616,936944,161293,-1,-1,-1,-1,-1,55297,-1,-1,105496,-1,-1,-1,-1,110765,-1,-1,754535,-1,-1,253500,181105,359133,-1,-1,-1,837137,-1,-1,-1,196236,607428,818698,762291,296117,621758,-1,149834,168844,-1,491760,-1,673750,-1,-1,957003,-1,887464,55465,97285,-1,175644,379761,-1,802299,892541,-1,675066,873031,780916,-1,304447,475735,-1,147709,-1,106194,833847,-1,626415,112380,-1,538004,613539,-1,952438,-1,788617,-1,716023,-1,353453,-1,913924,-1,-1,-1,543681,-1,-1,-1,783034,-1,-1,325960,217501,493569,889488,135191,-1,455247,-1,929784,811759,316875,548522,-1,-1,626862,360994,-1,-1,807974,280370,274164,-1,-1,251009,-1,107095,-1,-1,700378,-1,755382,985132,-1,-1,-1,384024,-1,-1,295514,448832,951739,156045,638827,914423,529458,986301,-1,-1,-1,932772,-1,-1,-1,276589,843601,-1,-1,-1,660421,-1,-1,-1,656371,-1,-1,-1,73728,-1,-1,886944,-1,336851,-1,-1,356125,326619,-1,-1,856066,-1,-1,30198,937216,-1,-1,36016,344133,-1,760320,147193,643826,355806,215304,-1,-1,-1,-1,985026,814938,620591,652493,630168,-1,-1,387661,-1,-1,-1,-1,55820,-1,330117,-1,-1,-1,-1,585754,680508,218036,652819,-1,-1,90687,-1,962237,244461,-1,964554,233433,-1,874261,-1,482008,176554,-1,359930,-1,-1,-1,-1,906750,427984,-1,-1,184442,948261,-1,713506,576289,-1,508485,-1,652954,-1,290265,-1,131667,227870,-1,270762,381420,52718,479348,355873,101568,448002,-1,-1,734448,-1,-1,437326,-1,542657,941264,63305,518807,139857,16183,947587,609968,897179,858783,-1,-1,763022,127253,-1,-1,663149,128960,802615,-1,931589,968252,-1,-1,-1,605637,50200,565172,988635,702780,-1,934771,-1,-1,-1,423586,564992,266438,233970,9750,-1,-1,-1,-1,-1,-1,902743,-1,-1,-1,-1,-1,-1,694950,-1,-1,688231,-1,-1,-1,285184,-1,400769,462582,-1,472750,-1,-1,894941,-1,-1,219061,-1,921723,957132,-1,702014,602112,-1,-1,-1,-1,-1,82007,-1,-1,-1,862927,-1,-1,557127,-1,-1,240010,-1,71260,-1,-1,-1,-1,-1,713934,-1,982796,-1,307149,-1,-1,153698,865218,952352,-1,76684,856832,756341,623486,-1,-1,826863,-1,248686,359497,698840,-1,827052,758060,-1,-1,276784,-1,566765,82913,-1,-1,473657,-1,514854,39427,262461,537512,206401,562312,-1,89293,627451,-1,123820,300400,-1,548034,-1,992299,-1,971821,11856,642606,-1,354810,923124,115912,983072,-1,-1,76630,-1,974109,138471,162207,-1,180162,-1,-1,105729,437783,-1,-1,200218,-1,608677,-1,900527,402757,367873,-1,-1,-1,798160,-1,91508,274258,-1,737662,753174,-1,900986,387388,485401,-1,819098,-1,-1,-1,24017,74455,844889,-1,728340,-1,-1,423750,831005,-1,846761,-1,681899,-1,626117,-1,471775,-1,-1,-1,944492,-1,-1,577108,-1,166989,847738,-1,336905,-1,-1,-1,931595,-1,522837,217204,921186,880989,-1,-1,105565,377750,-1,-1,-1,249742,-1,-1,-1,-1,749356,879097,-1,144285,116646,577862,979618,-1,951704,867228,-1,-1,830688,388706,958703,878889,174090,31349,-1,423935,-1,-1,860916,-1,44458,-1,271799,-1,-1,-1,-1,326566,733044,-1,-1,-1,189127,689857,756429,-1,908671,426534,-1,91606,392723,765650,-1,640857,474749,808725,988139,-1,-1,320709,284446,573435,-1,-1,-1,310977,408608,-1,200117,214257,280725,687586,152261,-1,250399,940690,-1,-1,240904,296276,-1,566863,434696,795540,878470,11194,-1,958306,290492,-1,-1,-1,798207,-1,-1,-1,-1,106987,41623,159787,860844,752840,-1,-1,-1,957870,-1,-1,-1,-1,115141,-1,994271,548958,745532,-1,278213,788981,-1,-1,-1,406221,-1,504860,433829,878185,443742,293270,-1,-1,-1,31176,160191,426488,880929,-1,-1,58041,97862,-1,999615,-1,293158,-1,-1,646642,980629,913976,-1,-1,170162,-1,537280,-1,-1,966460,700591,314313,397715,280092,-1,-1,769701,760308,-1,867166,120117,-1,364510,-1,859911,609267,-1,-1,-1,-1,-1,124979,52766,877680,257904,-1,-1,478415,589787,-1,889922,57974,389806,504619,-1,664272,222647,211028,260991,885410,-1,-1,-1,-1,-1,982834,-1,-1,-1,687899,-1,655263,401326,110231,-1,932021,438544,-1,-1,-1,-1,-1,-1,-1,800540,339442,728548,-1,362606,-1,-1,96708,-1,-1,-1,357409,301716,13062,190949,-1,-1,-1,-1,-1,-1,927510,58008,784353,-1,-1,-1,-1,-1,387947,500295,832180,-1,-1,553601,-1,-1,-1,749184,-1,628738,-1,811412,863247,477717,-1,302184,-1,537999,-1,198686,-1,726794,359526,163146,277232,614782,-1,179647,975854,848492,422015,-1,-1,-1,-1,454834,502617,-1,251048,-1,-1,189770,-1,-1,944324,23951,535594,886973,-1,582049,-1,-1,16416,489298,-1,42808,4857,-1,418592,-1,-1,-1,930758,535267,87484,913600,-1,-1,-1,833716,-1,-1,-1,939979,-1,618197,324387,-1,-1,17225,-1,887274,-1,417210,-1,212665,-1,975100,499725,-1,896732,146167,-1,-1,783408,-1,-1,-1,-1,587790,-1,126069,431568,933719,-1,-1,253182,761887,-1,-1,-1,-1,11496,-1,433256,-1,-1,-1,512721,921638,180135,-1,-1,-1,771678,817850,-1,-1,762731,900611,987213,-1,-1,-1,-1,-1,-1,-1,257018,-1,755136,267339,-1,-1,316963,-1,242231,952066,-1,-1,133312,9458,335299,984850,655270,296594,262006,-1,420590,321216,-1,-1,-1,484434,-1,339918,-1,768094,217873,-1,692399,-1,-1,395739,-1,354542,699055,-1,-1,837236,-1,-1,-1,419555,158996,-1,983789,-1,-1,-1,-1,-1,831436,-1,186327,-1,787748,-1,274775,333989,874567,-1,54576,-1,-1,465374,-1,-1,-1,416287,533963,503185,427498,69717,-1,464064,67604,603711,-1,328800,-1,52067,205426,-1,-1,995438,-1,117471,-1,-1,-1,179003,-1,299830,637536,-1,-1,-1,-1,100003,-1,441396,-1,449545,171180,-1,78099,-1,412881,623781,-1,-1,-1,793008,-1,765103,-1,400065,-1,-1,-1,605150,-1,-1,-1,324213,684673,902015,413778,-1,622234,915505,300571,-1,-1,-1,209162,357651,549711,-1,-1,-1,-1,939976,-1,-1,-1,-1,-1,-1,934825,-1,-1,-1,422594,794660,256031,314422,-1,-1,-1,-1,-1,-1,-1,-1,971673,965653,658256,362308,-1,-1,-1,732367,569744,248343,234212,-1,-1,-1,-1,288744,701442,461135,509926,174058,-1,537895,805476,-1,140856,-1,-1,530720,-1,-1,-1,217277,-1,-1,-1,506972,972342,-1,-1,313266,495727,722708,-1,-1,726092,625757,-1,5549,-1,605875,-1,972570,-1,248036,-1,-1,314670,262267,583428,564405,-1,533157,199996,-1,178867,314929,-1,411485,108185,-1,-1,989817,940854,101176,-1,-1,320872,71010,-1,188789,378910,-1,85154,99590,-1,-1,334988,605079,376608,-1,-1,958874,-1,-1,-1,-1,627388,441321,340300,-1,-1,50350,750550,105847,-1,-1,-1,686550,689888,-1,-1,330085,-1,-1,-1,-1,609808,835808,-1,-1,926767,-1,-1,-1,-1,149668,68544,730257,567624,980911,-1,576916,677905,592437,-1,-1,1546,328063,-1,-1,700100,-1,495472,-1,61433,758976,727432,-1,205234,-1,900734,-1,127031,104973,-1,-1,-1,-1,-1,968558,215812,178462,-1,-1,248899,498743,-1,-1,-1,-1,157683,763695,671002,349469,-1,-1,210537,-1,-1,585277,-1,2689,171887,-1,102520,-1,147181,-1,-1,800359,-1,-1,30915,762431,-1,447230,-1,-1,714092,-1,788442,196919,-1,460570,545441,-1,-1,29352,287033,11442,-1,718837,-1,60469,-1,-1,-1,428522,875515,-1,-1,-1,563577,708698,-1,142209,-1,-1,-1,-1,-1,-1,92526,28923,631553,-1,645641,-1,-1,-1,245040,613077,-1,-1,982119,-1,-1,849524,670389,-1,925160,-1,-1,914888,159186,309502,13083,-1,137571,772876,548893,-1,58062,-1,-1,-1,698793,427215,539444,-1,466255,-1,-1,-1,800187,-1,480519,572478,-1,930117,988938,789692,788271,660483,445146,251426,-1,246324,906537,-1,-1,234413,-1,456879,-1,-1,502463,786332,487059,201770,706119,979733,765619,876880,-1,-1,418229,-1,-1,478763,199101,701190,-1,-1,-1,469029,-1,-1,-1,574776,-1,-1,-1,-1,602702,-1,-1,775395,-1,-1,527753,-1,-1,-1,-1,179011,824741,877264,134247,819498,96830,44514,354464,-1,-1,-1,-1,172265,907429,533601,416567,610918,-1,-1,-1,-1,-1,-1,-1,832129,-1,-1,-1,896241,556905,305269,-1,94760,453259,441689,421140,987655,-1,286099,-1,923015,15634,426036,-1,-1,-1,759874,455885,376172,94841,-1,-1,-1,-1,-1,-1,899792,-1,-1,201616,-1,830606,-1,501652,-1,-1,-1,-1,527209,294698,-1,56494,-1,994317,-1,-1,-1,769167,972176,83672,-1,950461,-1,71628,299959,39215,-1,557966,705014,-1,-1,-1,167686,-1,-1,508541,910335,-1,693045,716524,13666,-1,-1,-1,-1,-1,-1,675689,379678,-1,498033,449321,-1,9094,929481,801806,-1,652700,-1,264192,666676,-1,-1,202946,-1,570995,-1,125343,-1,817618,424508,678258,278261,713365,154021,-1,-1,266096,951111,497487,-1,-1,67194,298612,215667,874362,-1,180981,695550,-1,770277,-1,459331,621127,-1,-1,891794,925496,94851,896842,-1,-1,900242,139634,336845,486214,900729,-1,-1,868328,285985,-1,-1,434714,712616,-1,-1,70888,281067,86661,650382,-1,-1,930150,-1,11038,906021,-1,143095,708219,-1,959608,-1,46350,-1,-1,-1,75031,659863,353052,-1,1620,934821,188177,-1,470857,557605,905612,-1,-1,101744,444836,760915,-1,970315,738601,-1,661832,-1,-1,-1,-1,567008,606198,555430,628892,202491,-1,-1,-1,-1,361719,-1,701292,-1,421418,866072,175148,488861,730018,751586,631471,-1,-1,-1,-1,772807,-1,347323,-1,-1,658305,-1,385842,550511,606782,-1,-1,-1,-1,721900,8214,319794,-1,-1,653604,371590,-1,-1,-1,-1,898546,868104,284681,-1,-1,-1,-1,-1,-1,-1,-1,-1,421549,63999,-1,168637,286923,-1,-1,136786,-1,265743,741915,-1,623821,240965,678930,-1,-1,357191,137266,893109,-1,505363,-1,371918,-1,827963,-1,-1,-1,390412,545794,158559,-1,275881,-1,-1,-1,-1,621661,-1,436226,-1,-1,414579,-1,-1,382350,305746,338100,924,-1,990661,-1,829356,-1,36018,51455,544231,570037,546856,-1,25777,628086,849674,868345,97112,-1,425576,397788,-1,-1,885595,-1,398800,705848,189131,358753,-1,-1,717854,-1,-1,193721,-1,-1,-1,428558,-1,-1,-1,188974,-1,-1,-1,518343,479588,146689,-1,698487,-1,308193,699012,832849,817969,205826,322911,-1,670774,-1,957047,148049,-1,781614,-1,402827,355811,526905,514567,-1,-1,-1,657499,404110,-1,-1,-1,688949,-1,167442,356408,905513,331843,-1,-1,899262,691673,241424,323854,788023,-1,100710,-1,702496,147130,110529,-1,644453,-1,-1,113614,-1,22172,120298,240996,-1,43209,10059,-1,-1,-1,510298,-1,-1,-1,794793,346593,605595,929704,321462,931486,89855,663903,-1,-1,493644,-1,-1,923982,-1,-1,-1,344137,885308,-1,-1,64818,-1,-1,-1,-1,-1,562916,861781,-1,278251,897986,535284,-1,352822,468138,-1,712962,-1,-1,-1,-1,162097,-1,485721,-1,538361,232040,-1,42643,-1,-1,178515,811745,-1,591235,548113,690541,341628,571429,888519,830550,-1,976044,326639,-1,-1,-1,-1,-1,-1,-1,-1,27678,949838,-1,814273,182809,712773,117607,125047,983433,927847,-1,-1,346187,793557,86526,-1,-1,-1,-1,-1,373244,418972,19180,261829,-1,937232,-1,677662,-1,484353,749076,-1,-1,342545,-1,-1,648333,-1,252569,343206,-1,243297,-1,615853,119864,-1,-1,-1,413066,620291,-1,240499,-1,-1,-1,921354,903345,-1,778308,-1,-1,90769,-1,541460,785939,864858,-1,783443,175205,827072,-1,-1,-1,-1,-1,737510,144854,908278,395401,-1,-1,-1,807337,952539,629151,-1,590883,316511,372990,274630,-1,308757,160352,-1,-1,-1,-1,-1,609277,-1,-1,489586,-1,-1,253676,212174,-1,-1,-1,700279,167050,450789,-1,-1,-1,381299,-1,-1,946480,731468,-1,575105,-1,-1,-1,295721,479655,-1,738496,-1,493348,-1,-1,-1,875348,-1,-1,469833,-1,-1,-1,-1,-1,-1,637632,363364,-1,251377,-1,-1,559965,-1,-1,493273,-1,391371,885130,89442,-1,-1,277261,630110,397755,-1,-1,772543,390986,707058,-1,498706,-1,254248,700337,-1,953500,93723,-1,244371,661764,548502,-1,-1,684591,-1,-1,531514,324448,-1,679547,-1,767377,-1,726029,-1,-1,-1,301224,-1,-1,-1,-1,527719,855489,-1,612678,-1,318295,-1,-1,906475,204288,185905,-1,-1,771947,-1,175448,-1,884042,727384,453939,873609,-1,-1,338081,35993,367534,574589,442974,-1,52000,703150,27372,506698,-1,-1,185758,-1,-1,-1,-1,2693,-1,-1,-1,795427,941480,-1,384173,268270,358692,165554,772906,-1,-1,574212,381225,-1,835821,-1,-1,588530,-1,-1,-1,733748,-1,551227,199397,314352,-1,-1,-1,-1,-1,-1,431023,299759,-1,-1,-1,993094,482244,610505,-1,-1,-1,-1,49139,151573,-1,54868,-1,393659,-1,-1,-1,942867,648711,327453,497397,991396,101967,-1,754213,-1,647563,-1,126810,-1,875343,479307,-1,622778,288186,119135,-1,374593,-1,-1,218428,277774,351886,131474,-1,832332,-1,-1,621648,749036,540058,60064,702138,-1,-1,-1,-1,763311,-1,828385,-1,788973,-1,-1,714727,-1,-1,-1,-1,129236,888617,-1,-1,-1,-1,-1,938448,-1,958103,-1,-1,-1,-1,121215,324657,-1,870723,-1,-1,83160,-1,-1,-1,-1,291703,310619,482851,-1,-1,-1,924729,514935,784521,75902,832097,-1,612875,244129,-1,279632,318252,167844,-1,-1,995183,329339,-1,299836,-1,-1,654622,979373,156536,152241,-1,138618,971014,-1,-1,-1,187272,361842,-1,-1,-1,-1,139749,342549,-1,621830,151072,-1,-1,486566,-1,-1,-1,338832,-1,180831,968653,594630,-1,754506,-1,-1,254488,624264,400442,219831,696757,-1,260131,713952,583996,-1,306876,-1,706413,-1,21202,615722,-1,-1,66669,792632,478956,-1,-1,-1,454318,-1,-1,548165,-1,576868,-1,30576,68899,205570,-1,907727,851347,-1,426173,404050,497708,-1,295430,-1,313386,969213,-1,-1,567271,377736,-1,-1,197697,30032,-1,46204,-1,680269,546554,788146,27161,-1,671114,-1,-1,897019,-1,-1,413168,15402,554261,100061,567409,-1,-1,934117,-1,-1,710680,450217,-1,792568,-1,67459,95654,872381,-1,-1,509312,-1,999676,-1,809988,-1,-1,509274,567140,853266,-1,-1,424483,35777,-1,-1,-1,877662,-1,985434,-1,-1,261812,-1,998476,-1,-1,-1,-1,-1,300480,-1,-1,594221,-1,-1,-1,524403,-1,95981,-1,-1,-1,140280,104774,276790,249948,522879,133232,-1,966777,-1,-1,826229,932919,-1,-1,189959,-1,849161,-1,302486,-1,-1,380707,343645,-1,91394,-1,738515,789721,-1,410626,-1,-1,-1,-1,516020,154524,-1,9083,-1,-1,-1,670581,722797,-1,-1,-1,-1,954156,558352,188026,-1,-1,522232,-1,630344,-1,-1,-1,294115,-1,703385,248714,-1,619308,-1,-1,601861,311170,-1,-1,435643,-1,17460,150852,-1,-1,-1,890958,616453,631639,753658,-1,-1,240827,688019,410380,-1,-1,-1,899236,-1,-1,300082,67637,259988,-1,460130,7245,-1,912045,-1,-1,-1,-1,742880,-1,-1,539141,-1,55230,644089,-1,76523,711885,217898,59275,706555,-1,261170,-1,16284,642174,410023,-1,-1,789850,-1,-1,-1,-1,-1,141250,-1,-1,-1,53659,-1,-1,-1,-1,404939,749851,709999,511078,-1,946226,-1,-1,-1,-1,-1,337509,981041,360165,53910,-1,-1,-1,524675,894467,-1,499388,-1,434443,-1,-1,795789,130338,635345,825136,-1,-1,471218,245708,335994,-1,-1,664880,621474,727709,-1,632380,611277,463604,530031,701032,660625,812032,959109,-1,-1,244656,-1,-1,222690,-1,392565,788374,-1,684332,-1,-1,560322,683745,-1,-1,631516,948687,630363,801487,525895,975335,-1,832620,-1,-1,120440,-1,-1,287781,336178,384484,450281,-1,313712,-1,272346,-1,554741,-1,162465,224627,-1,-1,564996,459262,68974,-1,490563,661792,-1,935676,-1,965666,542859,-1,-1,191543,23116,-1,720266,-1,-1,-1,-1,151888,199673,-1,-1,-1,111158,529439,244911,953049,-1,338353,282610,-1,963497,-1,178616,689493,-1,-1,725335,-1,284230,-1,-1,-1,860869,969807,-1,228110,-1,-1,-1,526735,412365,168330,-1,-1,-1,458396,-1,-1,-1,-1,711509,-1,-1,874665,765657,-1,-1,629036,868435,994380,960749,720238,-1,632005,239526,777796,-1,253947,781154,-1,-1,-1,15844,-1,276923,925361,-1,-1,225236,-1,-1,-1,-1,49068,-1,385508,8549,628233,-1,657842,751317,426860,235306,72611,-1,-1,-1,666552,595749,503607,131505,98276,-1,-1,-1,775764,408858,-1,-1,-1,-1,-1,-1,561872,298398,637537,833606,-1,-1,564198,223190,740208,430780,159874,873448,-1,-1,-1,746224,836568,-1,997896,-1,298441,56420,-1,-1,359698,-1,768414,-1,549556,560019,-1,157449,-1,-1,115887,-1,-1,462329,-1,-1,-1,-1,802424,838012,565754,-1,-1,-1,311781,-1,421816,61760,821431,977409,-1,513609,709247,53067,86318,-1,-1,984304,-1,-1,-1,-1,-1,422525,-1,-1,-1,106034,276206,-1,151126,-1,-1,825408,527886,293740,-1,787636,116899,396640,674131,148282,-1,-1,-1,164230,-1,408189,422733,-1,97756,566166,847005,-1,325281,-1,-1,264721,-1,561340,-1,-1,-1,194314,954754,932231,884208,-1,-1,-1,780721,-1,-1,918067,-1,982578,752899,459852,236410,-1,585364,-1,-1,609047,478185,-1,630029,638344,825718,-1,-1,182545,325220,-1,593140,331882,-1,-1,641242,540544,-1,138903,-1,-1,8300,-1,-1,-1,769816,-1,-1,-1,-1,-1,-1,428173,787972,400950,925226,109483,931318,-1,-1,-1,-1,377099,-1,-1,142483,174763,-1,-1,623831,-1,-1,-1,575071,175214,704734,535148,183303,-1,-1,117506,769063,-1,-1,416755,940048,-1,-1,-1,-1,-1,351634,21358,-1,-1,856598,249521,665670,664665,-1,-1,248905,-1,-1,-1,-1,169923,386867,704730,-1,774310,976414,-1,558745,-1,-1,817235,784032,-1,591811,-1,-1,881986,-1,-1,-1,-1,-1,-1,-1,101214,257580,674220,800944,323133,923228,754256,279368,887585,-1,-1,-1,-1,-1,517362,-1,629845,30927,481100,-1,513926,178595,399472,982488,-1,998044,17231,-1,-1,297592,162404,-1,73141,507215,260266,-1,875163,946481,244381,-1,-1,-1,826744,143028,-1,336895,711061,178007,175127,536618,354591,-1,-1,931374,-1,-1,283197,-1,-1,891051,-1,68148,4609,526972,-1,429416,584547,287331,-1,973135,388206,977867,948264,947502,984336,-1,35191,-1,-1,-1,787195,906975,521989,138798,-1,-1,890791,127508,477164,580295,196776,-1,-1,469935,342114,-1,179627,-1,258754,-1,704988,525762,668588,-1,131703,-1,57605,697536,-1,-1,599127,510440,-1,-1,-1,-1,882642,305483,-1,-1,-1,124950,-1,328294,-1,929800,836662,691158,891012,634050,698823,57216,-1,-1,181665,784056,-1,584923,-1,-1,-1,878753,-1,761904,-1,410591,-1,262527,-1,-1,489958,-1,136185,-1,-1,873958,712054,-1,-1,859395,75580,-1,36410,-1,896462,979615,-1,245820,-1,882731,-1,-1,762346,159031,863357,156352,870556,956342,-1,-1,-1,298942,-1,744882,349699,914280,34945,-1,309872,542494,-1,-1,-1,354455,763235,-1,83625,635770,263157,-1,17457,-1,-1,290183,175435,-1,-1,352358,-1,-1,-1,-1,771350,929448,-1,-1,924857,-1,516282,524906,771580,972981,-1,349957,536869,895850,-1,-1,-1,214243,603745,-1,-1,850477,-1,-1,713121,471207,775941,-1,-1,-1,-1,327279,31273,239234,-1,-1,989341,394440,-1,659045,474260,743353,-1,-1,-1,966448,-1,-1,-1,522685,672983,208190,23938,363402,-1,209237,467551,13671,245368,-1,377890,810041,227014,526529,719095,-1,153056,-1,875488,-1,976774,725328,-1,-1,603271,-1,582355,232894,-1,971190,232678,-1,509308,-1,804145,-1,611866,-1,-1,733141,634404,698383,-1,-1,-1,627455,334586,-1,-1,231582,904237,966115,-1,706272,657311,664842,259952,351293,728117,945570,233316,-1,-1,-1,905421,592885,48135,492693,-1,97462,362391,-1,416093,488197,-1,261816,-1,-1,-1,-1,759079,-1,-1,-1,158253,-1,876432,947256,-1,950383,-1,-1,-1,-1,-1,-1,904884,-1,329176,607630,400000,76960,616138,873821,993453,-1,-1,341026,349432,416959,321805,-1,-1,760968,586547,-1,443861,-1,-1,777537,116983,745127,-1,164001,746633,-1,419244,211909,-1,-1,561939,-1,-1,-1,75983,460702,803208,497877,113295,-1,-1,-1,-1,-1,-1,899759,-1,884523,-1,848795,-1,222838,617708,683933,971030,-1,-1,58852,366261,502069,66450,679733,204218,-1,-1,763202,970998,-1,719254,-1,122465,-1,-1,503307,-1,832783,833191,684796,-1,597052,-1,-1,897014,-1,26009,908543,-1,-1,326509,303841,833785,791374,-1,281274,787718,-1,748380,896025,258414,508924,442653,897838,431594,951927,139685,28635,-1,815222,-1,-1,708901,77607,-1,895512,894109,-1,-1,-1,70907,267414,-1,-1,-1,-1,-1,-1,965845,933264,123581,105302,939760,32806,-1,-1,920708,715260,-1,329580,123335,615816,805752,89285,-1,-1,-1,916132,80965,-1,308600,62339,446529,-1,237589,-1,763832,-1,-1,994967,755129,-1,177334,592033,119102,-1,-1,-1,-1,5468,540799,997622,-1,560879,-1,-1,-1,-1,-1,394284,465977,-1,14676,604547,-1,-1,-1,-1,908454,-1,-1,-1,993012,938292,-1,-1,-1,614874,759013,-1,-1,776344,-1,-1,241185,288558,666029,-1,-1,-1,735803,661693,-1,-1,917263,-1,-1,716998,998823,-1,2732,770612,514815,-1,124118,120731,244274,-1,-1,955817,-1,-1,-1,530645,647114,586275,263368,696293,911143,329384,469293,409631,-1,187874,-1,-1,-1,-1,-1,727779,-1,947566,24602,887657,719976,-1,-1,670525,767966,166392,602805,254309,-1,-1,624207,551069,542176,615043,827986,156363,4012,-1,178536,-1,-1,-1,-1,993667,959327,-1,105406,903379,597694,-1,66328,-1,433066,74738,162489,597341,-1,270218,-1,-1,365647,34353,382996,259334,-1,-1,805117,-1,273537,158638,-1,-1,-1,-1,-1,-1,73390,-1,-1,902532,926749,239379,-1,84718,903648,256191,635185,352020,386421,-1,-1,-1,206823,729520,422673,-1,-1,-1,655474,-1,540084,208699,554181,-1,-1,930696,763282,415924,-1,945815,435218,712978,-1,558029,772138,-1,989821,636038,-1,74755,793269,333620,-1,14498,113667,-1,309133,597087,-1,-1,676965,330872,784591,-1,-1,866100,85529,295939,-1,-1,656633,-1,179428,-1,-1,450357,607807,-1,907988,198278,293687,592151,-1,-1,-1,818149,-1,156386,30628,34741,660430,558638,-1,700084,259990,-1,-1,-1,150210,275715,-1,526853,528206,-1,-1,-1,751990,39300,669719,375717,-1,257067,-1,-1,194041,-1,247894,-1,-1,638337,393949,-1,-1,990824,438470,-1,-1,-1,467308,-1,621356,212909,354868,122284,545842,966007,-1,962587,-1,566998,-1,290285,-1,600006,833327,-1,934291,-1,537241,-1,370284,50883,991669,957566,986092,-1,-1,-1,560505,971025,-1,99249,-1,-1,760776,370738,176338,223966,275660,778060,-1,-1,3688,591634,-1,964243,-1,-1,-1,-1,-1,792892,-1,-1,-1,-1,362549,206129,-1,-1,-1,-1,-1,915222,-1,122093,-1,-1,917647,264786,406591,195784,-1,215524,991832,133125,-1,772616,-1,787888,435845,636511,-1,611,-1,757503,-1,-1,-1,635748,-1,928659,-1,711895,-1,429203,-1,83144,710652,-1,-1,104014,455476,-1,-1,975809,61087,-1,25541,927076,-1,662949,-1,913306,-1,395350,-1,-1,-1,-1,-1,922716,-1,-1,127148,512801,565904,-1,-1,-1,-1,307872,-1,-1,-1,-1,-1,362813,-1,-1,152310,-1,-1,743774,-1,179081,79979,-1,235736,337258,937964,-1,-1,-1,27946,510508,-1,710650,-1,-1,136936,-1,-1,332977,-1,-1,151410,-1,-1,552158,-1,183480,742940,-1,708129,-1,183843,885093,397557,-1,384412,-1,495829,185712,32540,284271,-1,-1,469127,-1,-1,-1,996904,741708,-1,975347,-1,-1,327841,-1,393405,520200,-1,-1,533593,695497,-1,-1,-1,56561,-1,-1,-1,-1,-1,339190,-1,-1,275223,488160,676011,569466,397394,-1,-1,473173,299689,733404,268746,-1,95285,-1,776241,389330,-1,736621,-1,578645,-1,770437,-1,-1,-1,-1,557705,-1,-1,543777,-1,-1,-1,710402,-1,-1,-1,997437,-1,-1,-1,-1,754810,-1,-1,638366,-1,862193,781142,899776,16229,-1,-1,198533,-1,-1,-1,681375,925478,-1,-1,-1,-1,289960,-1,733241,-1,-1,42512,675143,-1,-1,649484,-1,-1,855250,327952,-1,748094,892216,-1,-1,472057,-1,-1,-1,-1,489282,427474,-1,980625,-1,22680,998924,774393,762188,978999,-1,-1,-1,-1,-1,13587,131450,452899,245636,-1,661109,532987,-1,221177,-1,-1,-1,393133,-1,-1,790085,-1,37854,396714,-1,-1,-1,247313,-1,636854,-1,-1,331169,267470,-1,-1,-1,-1,-1,-1,34339,169211,-1,151569,61384,986722,327489,-1,-1,-1,-1,-1,807005,909316,44156,-1,936719,745749,677369,-1,980958,-1,486276,936266,-1,-1,-1,-1,518195,954951,429681,877210,-1,-1,562416,-1,453642,-1,-1,-1,-1,687791,907097,-1,-1,-1,225635,-1,63963,-1,210744,-1,-1,354880,-1,145005,626599,-1,-1,-1,-1,403693,-1,-1,-1,464762,-1,-1,920371,-1,-1,322288,-1,390454,-1,152890,1219,-1,-1,782924,489459,-1,-1,-1,794509,-1,-1,933664,-1,-1,593673,-1,-1,-1,463125,-1,153356,-1,-1,-1,749948,-1,-1,792991,3760,-1,-1,532558,926859,832555,593895,295450,79153,-1,-1,415721,-1,-1,-1,269715,737440,-1,-1,231717,-1,-1,-1,890831,-1,-1,654773,110932,-1,-1,401790,-1,935254,-1,-1,-1,476038,-1,481447,-1,709278,709688,632607,139935,-1,-1,-1,-1,-1,624379,241599,-1,980689,-1,305964,107915,-1,824833,-1,156276,-1,-1,-1,799458,996182,-1,-1,-1,794916,-1,923455,-1,-1,497975,-1,655912,2485,136151,85605,808581,642244,-1,-1,-1,623378,-1,-1,-1,-1,794939,-1,-1,-1,-1,459016,534472,-1,440979,929244,-1,-1,193181,-1,925065,127082,-1,415327,212194,770364,-1,-1,911461,-1,-1,232762,-1,-1,-1,253478,584232,618288,-1,761987,507097,595146,-1,260763,19550,-1,-1,111887,-1,678877,517057,928525,-1,5739,414593,708279,-1,210582,488304,73886,455255,519714,65979,-1,854695,-1,-1,-1,875540,951752,532914,-1,380106,-1,-1,280848,877921,959390,635325,-1,-1,-1,265417,-1,-1,341515,953720,354841,-1,599774,286709,-1,-1,-1,-1,-1,490859,-1,354362,622964,249770,759397,14391,-1,-1,-1,49065,-1,-1,937769,-1,333629,978068,-1,586649,-1,-1,-1,862435,687053,204890,99166,387897,970458,710472,695457,643111,-1,752112,449221,-1,179123,715018,-1,-1,596373,923352,-1,975387,-1,-1,-1,279076,-1,598851,628060,376556,383515,908987,677872,318345,-1,-1,479489,931259,-1,416871,-1,699547,518769,-1,-1,-1,984925,-1,141698,776240,617295,678848,-1,117881,736183,-1,159593,-1,989686,-1,984602,-1,-1,430923,540815,-1,979537,-1,941297,191805,-1,69674,580106,-1,-1,-1,-1,-1,-1,-1,-1,381672,793692,-1,-1,743133,649467,-1,148834,154670,404739,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,602555,-1,394616,183229,-1,-1,285849,-1,817551,-1,-1,69455,-1,151099,736422,-1,219758,143712,-1,-1,869272,133464,-1,78919,-1,916097,-1,-1,-1,-1,572154,-1,324400,806119,25801,-1,980745,64428,658373,-1,901594,-1,559033,-1,83601,208334,691116,-1,11450,-1,92070,-1,-1,770141,597537,6963,-1,-1,-1,-1,-1,-1,784425,-1,-1,-1,-1,-1,-1,230045,199769,339335,902837,691514,-1,-1,-1,-1,-1,-1,423896,719602,869180,616613,681527,-1,-1,748545,97512,-1,172359,221352,-1,582706,-1,322516,648382,-1,579338,562590,-1,-1,-1,-1,352649,463863,246836,-1,-1,-1,141259,967826,514785,396816,707016,-1,-1,-1,-1,643156,-1,-1,-1,798197,-1,-1,662035,-1,-1,458181,-1,-1,-1,153873,-1,782343,623047,-1,-1,300288,526289,-1,180930,555596,-1,-1,-1,-1,-1,35669,570516,-1,414200,730471,688030,99170,557231,970924,-1,-1,-1,573840,216283,729189,213246,334512,233217,663589,67667,333477,-1,654601,-1,-1,67134,-1,112275,104701,385271,12159,-1,-1,-1,186687,216684,-1,444328,-1,789178,-1,-1,-1,472504,-1,262558,702461,640939,624790,472071,-1,130895,-1,355040,-1,152882,667942,-1,88401,-1,133235,67300,779529,-1,-1,83170,-1,-1,-1,-1,-1,-1,628341,-1,-1,-1,-1,842211,-1,275243,849058,493154,22500,700072,272701,-1,-1,179111,927066,-1,-1,-1,974898,552664,-1,-1,238674,-1,113436,4882,-1,167788,-1,-1,297515,-1,872605,-1,669586,-1,734576,-1,338672,-1,943781,-1,428055,-1,184106,-1,-1,794142,610259,-1,-1,-1,163189,374899,849815,-1,-1,890857,40269,769426,-1,870062,753283,821440,853897,-1,694101,923720,-1,-1,745912,-1,414142,-1,-1,-1,-1,-1,-1,618685,-1,687417,-1,320557,-1,-1,385105,146078,-1,275528,110977,-1,-1,-1,998501,-1,738079,23460,-1,-1,-1,44079,364190,655640,693776,-1,-1,-1,-1,890968,414110,-1,818385,563782,927089,951948,184222,756793,669692,-1,-1,-1,978330,747886,960225,-1,-1,-1,-1,-1,-1,915036,-1,-1,970677,521873,975628,140111,601292,296383,-1,-1,-1,893140,-1,-1,565572,910641,997838,439058,481195,900318,-1,147500,182822,-1,65387,354871,-1,83708,-1,945400,579632,51701,-1,235772,-1,786199,-1,-1,-1,195283,836753,-1,993371,-1,233863,-1,23533,-1,957739,385083,-1,-1,-1,-1,332724,275359,143996,-1,-1,41167,789126,217516,515045,778246,-1,-1,-1,642598,-1,450011,308750,343510,786191,-1,987166,-1,246484,63046,-1,761078,705167,-1,350034,-1,-1,-1,-1,537071,43912,287771,-1,-1,-1,969212,-1,323977,-1,751646,-1,-1,355198,14358,-1,-1,471754,30698,-1,984480,521353,-1,684384,526982,977088,333285,-1,-1,325884,614061,-1,767866,879286,373516,312109,-1,475382,-1,-1,-1,-1,952930,135017,652657,-1,637574,611979,-1,617907,-1,411125,-1,560797,-1,-1,47593,-1,-1,-1,936961,445281,-1,553316,354528,-1,-1,233165,750616,-1,897543,-1,372871,-1,236362,-1,893364,994977,-1,951971,480650,942114,901993,-1,514275,-1,-1,-1,-1,-1,250622,-1,-1,-1,-1,776425,-1,-1,804736,-1,-1,829122,131698,59427,625177,812961,-1,487849,121271,722055,-1,719548,-1,921502,953695,-1,352881,-1,-1,565031,90582,-1,-1,-1,636396,95098,841218,921313,-1,946315,-1,156013,646972,417810,-1,661194,-1,-1,597766,-1,-1,-1,-1,610546,-1,-1,-1,-1,-1,-1,536856,-1,282991,470171,-1,609440,-1,-1,-1,614399,736881,419965,103371,-1,946258,-1,238994,-1,-1,-1,-1,-1,393848,449317,-1,-1,5717,-1,-1,-1,-1,603617,247717,-1,-1,917248,-1,227903,-1,-1,-1,555122,721687,224639,98587,-1,885070,622604,978109,-1,-1,-1,-1,437224,-1,-1,562000,-1,-1,-1,107289,237825,-1,87492,471625,818341,737944,-1,383242,-1,220110,431602,-1,-1,629868,-1,-1,29986,797530,13088,101657,-1,-1,570767,543172,-1,128524,524843,173826,-1,554409,-1,-1,-1,-1,294754,600945,773735,-1,-1,-1,916300,69180,203555,-1,-1,-1,-1,-1,296311,267948,-1,-1,722361,-1,-1,226296,503478,401036,-1,874471,-1,-1,-1,463107,959587,-1,-1,290074,-1,410658,526610,-1,133251,-1,-1,-1,-1,741334,-1,654704,767630,316186,376208,120807,587505,-1,-1,-1,463182,-1,-1,-1,-1,241897,-1,-1,-1,-1,-1,-1,255528,35481,-1,-1,-1,-1,89531,644247,407307,523325,-1,422837,400197,871402,-1,-1,-1,-1,360218,-1,-1,705889,-1,-1,-1,554025,-1,180955,443596,332969,255859,332960,-1,462460,239098,217987,-1,-1,-1,656771,430197,-1,815564,-1,-1,340108,-1,-1,-1,142151,749910,-1,90023,705297,-1,-1,-1,838378,734018,-1,-1,-1,-1,212214,87856,993107,174332,-1,-1,-1,-1,584980,-1,-1,410723,928231,-1,511010,783494,-1,914190,538590,-1,500164,288573,-1,877328,-1,-1,-1,-1,-1,388182,-1,-1,-1,-1,-1,659399,-1,-1,986334,-1,424889,882555,-1,-1,-1,569247,100214,-1,770683,-1,624658,-1,-1,818957,183404,-1,-1,-1,-1,975071,-1,831764,950206,-1,874154,-1,-1,428875,989505,98956,-1,327940,458685,273500,-1,-1,-1,-1,-1,600041,-1,671099,-1,-1,213788,637354,173723,516907,122486,461751,-1,915253,219830,-1,552570,-1,-1,-1,783438,264157,835159,597022,989482,27521,444976,-1,506873,-1,867158,620521,-1,284302,-1,315390,-1,554534,-1,943645,751291,742644,-1,798020,15665,371596,-1,168318,-1,502967,-1,-1,-1,-1,160998,-1,193535,322268,442948,569619,187850,91166,319108,383134,192718,-1,-1,44445,552172,-1,-1,-1,-1,409951,-1,551996,187989,-1,-1,536276,612910,-1,-1,-1,123000,-1,992628,861768,-1,317586,-1,-1,759162,-1,527783,-1,671034,656592,-1,125319,444055,-1,-1,-1,159276,-1,844526,-1,832374,-1,362644,-1,35373,344883,859043,-1,-1,-1,-1,320388,-1,-1,991554,851985,-1,698964,-1,-1,287340,856581,-1,-1,291537,-1,-1,272681,-1,-1,812480,-1,296870,-1,683872,-1,917562,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,106904,2242,-1,313810,-1,298913,530629,189149,393764,-1,384795,796363,-1,41616,-1,-1,470877,-1,322833,608198,-1,-1,-1,971530,541942,291217,551085,371384,86599,949880,801753,-1,-1,30525,241905,-1,423188,896274,-1,-1,306010,-1,313907,339012,665479,513527,449855,-1,320954,612934,-1,-1,784083,343389,409226,462481,-1,-1,-1,-1,-1,407783,817517,-1,-1,-1,227650,-1,-1,-1,499062,-1,-1,479812,-1,541621,708625,-1,460956,459650,-1,215753,-1,777730,-1,-1,426994,857411,-1,-1,-1,-1,-1,-1,-1,-1,-1,587414,659405,-1,382910,-1,-1,865374,167301,10880,-1,-1,133353,-1,-1,205027,217756,257799,223300,-1,-1,272781,820454,-1,-1,-1,271554,-1,-1,-1,-1,312433,-1,-1,233989,-1,689375,832829,70215,655397,-1,-1,-1,-1,331683,-1,-1,-1,471318,625337,720909,-1,-1,-1,-1,-1,806523,754811,-1,-1,-1,-1,647202,-1,-1,322761,508247,-1,221649,-1,507104,808596,-1,793533,340183,579105,327889,7495,-1,968263,341037,41371,579371,-1,-1,-1,259098,791697,25066,909202,192297,-1,518622,-1,-1,-1,745459,-1,144292,-1,604895,736369,821119,-1,-1,-1,159292,-1,962201,20973,754661,299013,-1,-1,608674,409565,758529,-1,977696,83653,-1,520356,197608,-1,-1,-1,-1,-1,217534,-1,-1,460623,809552,467730,-1,-1,-1,493717,-1,-1,14043,917511,94599,269054,483562,-1,-1,576422,-1,-1,-1,-1,73264,672150,-1,-1,14750,-1,205472,130474,427701,526398,-1,-1,478515,602227,461223,433365,708721,914605,938860,-1,-1,-1,591139,408414,319039,-1,-1,397654,-1,-1,-1,94127,578166,-1,-1,-1,951407,-1,-1,-1,-1,977768,-1,-1,657135,390506,588198,-1,844693,-1,-1,-1,-1,990718,-1,-1,-1,-1,-1,845850,203620,796526,656823,-1,-1,-1,-1,-1,54256,742426,-1,228401,751621,-1,-1,374223,-1,797683,-1,454601,438229,-1,-1,-1,-1,-1,195465,453059,809181,-1,543569,88309,203582,-1,-1,912079,-1,160185,162261,-1,-1,-1,717036,673793,-1,-1,186055,16741,-1,829323,-1,573826,143714,-1,794069,-1,-1,-1,410124,-1,-1,-1,386014,-1,264486,-1,-1,298775,-1,321422,-1,-1,-1,544816,439036,-1,509704,150457,433360,-1,948181,83507,934345,-1,348688,-1,752982,-1,-1,61422,-1,390457,96924,-1,436887,-1,561711,546589,802320,655873,758855,-1,152469,496852,199079,-1,-1,-1,279995,-1,-1,-1,364377,-1,-1,519299,-1,-1,101444,-1,724117,-1,889774,296368,29448,486242,-1,-1,-1,228187,818390,-1,602385,-1,-1,-1,249885,491741,-1,301427,-1,-1,385587,582030,575306,850443,463544,565641,-1,-1,-1,359671,-1,294489,-1,-1,653939,-1,-1,800530,-1,-1,-1,-1,249573,169390,803235,-1,330072,70792,879731,-1,235234,671682,-1,-1,-1,-1,617812,275390,-1,-1,-1,371477,-1,503998,159363,-1,-1,884265,173040,713044,565876,209142,226229,279826,385150,201839,593284,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,764177,346674,235189,-1,320730,-1,-1,663111,-1,991361,-1,-1,-1,-1,-1,-1,243973,380598,455852,-1,851413,-1,867948,17928,-1,-1,133067,-1,911445,-1,-1,-1,-1,-1,-1,793028,-1,-1,703311,270003,35097,719637,986331,833294,-1,-1,249861,-1,955187,810999,-1,255733,-1,438162,-1,62440,-1,-1,-1,-1,-1,479109,-1,202728,277463,255628,593679,201476,-1,-1,55023,589879,427467,608436,540135,128578,-1,351637,-1,-1,-1,-1,-1,-1,99724,-1,325037,65410,-1,536170,88365,-1,-1,-1,56341,-1,-1,908250,-1,-1,-1,921480,722151,-1,233248,492165,-1,208835,-1,-1,-1,-1,644032,35848,-1,-1,-1,-1,489506,-1,-1,-1,428610,603881,585591,528592,-1,662370,-1,-1,-1,612168,-1,-1,861928,-1,-1,-1,960081,492660,-1,-1,-1,-1,-1,50918,-1,21114,-1,-1,197215,180832,-1,309643,-1,994032,56773,-1,-1,-1,-1,526515,-1,-1,381804,-1,580951,-1,558089,293578,688333,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,364867,-1,-1,597566,196319,686739,-1,-1,513225,912084,-1,990533,-1,738917,271927,467406,651609,808424,509348,358875,-1,-1,-1,-1,-1,400087,-1,374932,128333,769538,-1,958064,-1,762187,499963,-1,623491,-1,816845,438982,226318,-1,518717,697959,515200,-1,-1,552843,-1,-1,-1,-1,-1,650716,-1,917153,-1,722175,-1,-1,-1,763468,220571,-1,827110,300553,862319,997200,-1,899342,225804,681847,997091,122586,607470,730799,959626,196323,288347,624041,943161,109575,90562,-1,765178,3399,103273,-1,140869,502961,-1,-1,-1,919506,928980,919906,443998,173233,548160,-1,-1,708568,850761,721407,238353,-1,-1,-1,811784,-1,-1,-1,-1,804384,298549,282065,66887,851022,662817,951269,-1,-1,4954,748368,-1,-1,309446,945317,445011,-1,568627,147737,55127,-1,-1,-1,-1,-1,-1,-1,300349,-1,575083,902108,-1,757657,898865,699913,811461,587551,635797,-1,814844,510014,503802,544062,857787,-1,-1,-1,153773,-1,-1,500294,-1,-1,215700,-1,725838,173162,236735,494447,-1,919331,-1,486749,989952,370718,-1,-1,367421,-1,315148,-1,-1,380198,762955,145369,-1,774456,632660,151839,920609,950091,-1,336861,-1,20631,-1,538909,871516,891303,-1,-1,-1,523649,532845,-1,-1,-1,-1,-1,16790,-1,297106,175083,-1,422786,-1,-1,308664,-1,-1,-1,285672,647923,-1,-1,199797,-1,-1,-1,-1,183193,-1,319293,972385,-1,325123,489952,-1,961137,-1,-1,32463,-1,815247,220819,-1,366856,-1,-1,-1,97048,-1,216733,336613,907916,907337,94540,405974,85777,351327,371671,503558,-1,-1,82538,-1,-1,170592,-1,910629,763635,896745,-1,796018,-1,-1,376093,927566,135814,959602,-1,-1,-1,-1,671610,-1,-1,-1,880696,-1,453900,-1,982963,-1,420245,-1,-1,698000,-1,695071,-1,983267,-1,724604,-1,-1,38769,307007,781746,264000,-1,200178,-1,-1,-1,-1,-1,-1,414935,556579,-1,-1,-1,180124,-1,-1,-1,-1,85370,474525,943321,-1,-1,192012,785328,-1,-1,-1,-1,901482,471694,-1,165854,-1,9470,-1,-1,301824,-1,-1,-1,69048,-1,230293,-1,-1,-1,-1,-1,612115,-1,-1,546288,123918,-1,-1,-1,940027,441643,-1,-1,-1,-1,-1,-1,527097,-1,125352,-1,-1,81678,-1,671336,931799,-1,-1,823032,-1,-1,300369,157552,66824,819232,81386,-1,24434,537756,702036,-1,-1,192194,296560,-1,905161,122600,-1,776751,-1,119178,945593,414214,483864,467523,-1,-1,311768,760872,-1,-1,-1,113723,-1,-1,247581,835135,926022,863470,852503,-1,-1,360091,-1,663157,-1,-1,323249,630359,706840,767936,271403,37896,-1,875813,80198,773647,-1,-1,322939,-1,523970,-1,-1,973287,-1,241975,-1,-1,867970,-1,345179,760309,488991,173983,-1,-1,-1,-1,-1,-1,-1,137983,980726,772212,144923,629725,410987,828335,-1,655183,515475,-1,-1,262791,32445,140526,-1,-1,-1,-1,-1,-1,414543,-1,390408,629883,397114,-1,-1,429209,947492,-1,-1,340099,877026,-1,898582,-1,-1,-1,-1,571984,997161,633365,490824,159307,572560,-1,-1,-1,115126,303345,-1,747626,-1,-1,1017,-1,-1,574503,245041,-1,587975,-1,814312,-1,-1,635186,246988,177191,393571,-1,358990,721359,67056,-1,-1,585941,-1,-1,-1,-1,-1,-1,-1,323102,-1,995710,661745,-1,378027,417282,843613,-1,-1,474985,82502,-1,225388,-1,-1,-1,17307,-1,-1,976926,-1,364067,184375,193858,783380,-1,872883,422259,-1,-1,-1,-1,395506,73802,481882,293436,458305,-1,-1,-1,244100,468121,-1,293834,688784,-1,830967,629464,-1,-1,106469,747993,-1,-1,-1,-1,-1,280301,481890,326369,38562,736944,-1,-1,946780,-1,-1,648467,595235,-1,-1,876001,25302,306129,79396,-1,-1,825826,-1,-1,-1,523821,598249,825058,722263,-1,24575,-1,329805,-1,922078,-1,15213,634139,-1,161025,718108,-1,311924,505249,798374,-1,323636,-1,972624,-1,-1,-1,-1,-1,-1,219034,-1,677177,-1,-1,261408,-1,-1,755946,-1,141085,600827,840634,191128,-1,-1,-1,-1,229122,188595,-1,670319,-1,660687,-1,300244,557896,755874,-1,375042,-1,484602,-1,138906,134292,539588,72887,-1,54157,504319,558954,-1,282866,-1,715389,168248,-1,-1,-1,-1,28865,-1,-1,-1,907462,-1,435975,370247,125802,965587,552912,-1,328702,910150,-1,-1,769036,-1,-1,60534,-1,201266,-1,378011,839015,-1,859389,641068,404443,-1,874214,595441,-1,-1,-1,574690,-1,260192,914539,-1,-1,984727,-1,15194,-1,-1,95476,-1,-1,766531,693543,-1,-1,103562,679411,637011,955151,-1,-1,604194,585977,-1,-1,599675,850199,-1,442396,638347,-1,-1,17203,151602,-1,734054,-1,-1,94260,918004,7465,791853,568725,309627,-1,-1,531926,809052,-1,-1,265379,-1,-1,991536,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,154034,-1,34359,-1,-1,-1,-1,-1,597757,-1,-1,-1,-1,434873,-1,-1,978512,610274,121309,-1,-1,241316,997641,241234,843307,-1,-1,-1,-1,-1,774633,778439,-1,400181,-1,-1,-1,652045,-1,969125,914554,-1,-1,901126,73173,395524,-1,190033,-1,-1,-1,-1,918563,-1,502369,177984,936121,201759,-1,861549,538906,694411,-1,-1,-1,21900,495337,-1,803984,119374,-1,742021,164041,850974,14091,-1,491576,-1,-1,-1,-1,-1,-1,-1,-1,-1,975111,289079,-1,544519,-1,-1,454785,-1,-1,-1,978191,807820,921145,-1,-1,382612,624693,-1,-1,144971,532578,-1,-1,94592,810787,884923,-1,272532,681145,632379,817087,486878,-1,328205,161610,-1,-1,-1,-1,-1,86441,336698,-1,-1,874191,-1,509790,977710,761573,366333,-1,383500,-1,-1,981310,381650,75069,796898,786870,-1,170504,241452,357570,408423,-1,253997,-1,601845,-1,-1,-1,33926,472578,666995,703002,-1,-1,-1,-1,-1,97987,87876,783713,274313,37882,46799,458308,516935,733900,380920,-1,-1,540709,6146,-1,-1,-1,861266,266783,24912,-1,349408,934891,-1,-1,913222,403117,-1,-1,-1,999701,69511,-1,477841,-1,981482,390767,-1,877051,896769,-1,-1,921652,-1,976450,605417,733990,-1,894514,-1,-1,-1,-1,-1,714953,711649,-1,-1,498041,-1,437776,409574,-1,488864,-1,143445,915208,916553,114847,663955,409475,347789,-1,821046,-1,-1,-1,-1,45793,154083,510261,689509,-1,-1,596888,589438,864085,-1,-1,860498,272451,363197,-1,979216,-1,583277,74111,766432,961382,287971,170680,644596,353707,-1,-1,-1,-1,410813,950375,913731,667551,693121,-1,92229,14673,31736,969796,-1,835558,-1,192131,289848,465086,-1,-1,925567,881543,-1,757244,177195,338132,446574,501720,880870,670592,852572,-1,813261,-1,914471,928599,-1,644093,-1,-1,-1,-1,-1,116004,744268,-1,683677,67990,903243,-1,-1,860886,196174,123530,86887,962905,99896,652227,500208,-1,-1,-1,431343,671959,473298,442926,-1,50540,835303,-1,362110,-1,101451,-1,363647,34367,-1,189151,-1,-1,-1,-1,-1,590928,668257,-1,644765,-1,-1,-1,455312,70569,-1,94132,-1,-1,646926,73767,-1,-1,-1,-1,-1,-1,511787,119070,-1,331582,-1,-1,-1,871106,731828,903950,198450,-1,-1,-1,561452,468425,505455,302397,-1,882343,253402,-1,-1,-1,-1,38747,486469,396847,772196,-1,744014,-1,905968,976122,-1,-1,-1,-1,-1,655422,479537,-1,431519,-1,-1,492906,142007,-1,185700,767509,-1,-1,209613,256756,830661,775572,45510,-1,707370,-1,40814,859538,-1,292833,710220,-1,553485,-1,-1,312684,-1,327807,-1,867761,551153,474993,586783,-1,925720,880726,-1,-1,-1,-1,748838,806148,616966,-1,652407,262425,46642,219756,54180,117137,-1,-1,962937,221977,593196,51925,403651,-1,231879,-1,590457,-1,-1,-1,873522,26046,248028,717438,305145,-1,736852,354437,440587,932117,861953,480822,-1,174219,809444,98621,68927,-1,-1,-1,-1,697951,-1,-1,853333,501369,476771,-1,523103,59503,-1,633956,-1,-1,-1,944776,-1,806622,42873,-1,-1,61162,-1,-1,-1,963069,-1,-1,-1,755721,714468,612877,840318,-1,-1,-1,993513,872193,-1,-1,-1,-1,271928,-1,38613,12723,-1,928500,-1,785159,-1,250263,530484,-1,728132,-1,34782,187314,155359,-1,-1,574355,-1,110618,399923,-1,207847,-1,766568,-1,-1,-1,69838,-1,623489,230339,-1,-1,-1,-1,959011,932449,-1,-1,926982,-1,-1,-1,250220,-1,-1,519694,706788,-1,462571,-1,669720,996133,156034,789590,811696,208645,205005,-1,201613,-1,-1,-1,136031,-1,-1,722044,477771,-1,-1,486378,688543,427460,-1,186736,-1,-1,492270,986142,867602,-1,457439,177020,116592,63855,-1,-1,-1,-1,74385,-1,752470,-1,85273,578045,-1,-1,-1,459619,-1,-1,-1,292219,-1,-1,782754,765598,-1,-1,431491,-1,814657,-1,-1,-1,572774,27756,-1,-1,-1,-1,-1,-1,-1,923363,-1,-1,-1,-1,505825,-1,-1,178282,347739,172615,842338,992905,-1,-1,417019,-1,-1,-1,613113,233457,805408,948922,410864,900154,345298,306489,-1,797827,480831,500681,-1,-1,687068,-1,-1,592725,-1,4773,-1,-1,-1,-1,-1,-1,-1,-1,592605,-1,-1,-1,579020,-1,124674,-1,-1,91202,-1,805357,-1,-1,-1,680595,-1,721460,550121,556945,417627,21871,-1,501315,913196,821171,-1,-1,126554,-1,529734,114707,-1,201740,330647,89895,58861,694929,274656,-1,603243,-1,535118,208069,-1,821767,-1,-1,44899,843974,717072,-1,373902,604769,-1,-1,39718,-1,-1,-1,-1,748360,162111,520014,-1,-1,-1,132851,930938,826672,338011,-1,-1,950407,-1,-1,-1,-1,369283,570395,59441,-1,-1,-1,-1,190734,-1,521233,576664,599736,-1,633492,-1,150363,-1,315050,631363,-1,-1,-1,75930,-1,-1,629744,-1,642081,-1,20279,346825,-1,-1,582565,-1,998451,-1,-1,-1,-1,165542,711600,-1,226412,-1,-1,-1,836028,831068,-1,831694,599895,-1,704977,-1,396630,83912,104971,559280,-1,24410,511921,-1,-1,-1,300852,177865,357597,661924,151146,-1,-1,417294,566827,-1,28650,-1,-1,651112,-1,-1,-1,-1,673338,387421,416878,-1,-1,847186,243427,961977,-1,309453,599441,-1,-1,-1,-1,452402,878034,180177,-1,458602,-1,359738,-1,-1,417109,755522,549034,-1,314999,-1,435231,944082,-1,930923,-1,939473,-1,136852,820782,165862,-1,-1,-1,950842,683719,-1,-1,328986,-1,-1,603456,-1,-1,-1,562297,-1,268859,-1,-1,-1,-1,543805,662165,498733,44245,-1,-1,957622,-1,345142,-1,-1,724868,-1,735449,592905,20543,183910,-1,79089,836920,419534,338089,863484,-1,594593,-1,-1,827337,346384,603002,-1,-1,-1,102160,88481,114490,-1,424845,793457,470763,472622,104464,-1,708295,-1,-1,805436,942659,-1,575742,-1,-1,-1,-1,-1,-1,686009,-1,468807,338370,-1,-1,961466,656927,837145,-1,-1,320011,-1,-1,137596,480323,-1,-1,-1,170952,764890,624982,606995,-1,-1,-1,-1,-1,914196,-1,-1,626517,-1,-1,337048,-1,-1,-1,-1,506648,360636,-1,202431,-1,70350,856983,493684,291640,348930,50124,-1,-1,462878,-1,-1,-1,-1,731762,-1,-1,-1,-1,726527,341269,-1,-1,-1,512078,523156,-1,924284,449655,450898,984320,-1,734670,-1,338106,-1,807284,-1,-1,-1,-1,50352,846547,-1,-1,952395,-1,865342,-1,827088,241180,800585,-1,-1,-1,-1,184327,407107,-1,-1,138563,-1,-1,830917,292146,-1,-1,838005,-1,427391,673634,-1,-1,30684,-1,-1,273839,34727,399485,196733,-1,852115,-1,-1,-1,-1,320277,-1,254565,-1,159649,753861,191372,-1,762861,-1,719071,-1,400681,630104,-1,571925,255551,-1,401704,317005,-1,986936,772838,-1,-1,2419,360738,-1,255432,-1,-1,-1,698245,759150,792993,-1,628291,759310,108830,571345,224070,85611,-1,-1,461959,91018,954129,-1,-1,-1,-1,-1,324859,-1,527025,588496,-1,102060,-1,524329,713530,99988,746712,-1,-1,184005,-1,-1,842332,-1,-1,-1,472862,634046,9420,-1,-1,863149,401518,214442,236189,-1,86998,575555,-1,-1,720008,-1,-1,278166,291794,-1,-1,-1,-1,435188,-1,364743,666844,676706,-1,275811,-1,514123,-1,466084,465330,-1,-1,714314,-1,178273,978506,-1,-1,866627,-1,-1,955824,-1,413233,77018,-1,156512,-1,-1,294385,-1,296223,-1,-1,-1,-1,987377,-1,481349,776683,-1,357399,-1,707918,440462,-1,809357,841162,-1,-1,460836,302547,570401,-1,156030,-1,40206,819349,-1,566001,484820,-1,-1,-1,-1,388993,563418,874314,800664,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,510162,-1,703924,-1,220506,138158,-1,138059,-1,-1,-1,23361,969291,-1,-1,373967,-1,-1,-1,576464,-1,-1,-1,448923,-1,-1,-1,-1,-1,-1,922556,85005,231505,159479,-1,-1,596964,-1,-1,595944,606180,619395,969077,843124,-1,55976,479725,-1,812328,428699,-1,-1,514525,438301,357561,-1,502513,684044,-1,-1,-1,-1,-1,-1,722294,-1,415292,-1,-1,-1,389245,-1,47899,-1,-1,102085,757482,174312,-1,44226,480878,-1,-1,672248,95026,866659,261155,477254,575381,-1,-1,-1,-1,-1,940169,-1,909406,-1,-1,-1,-1,279671,-1,225338,696121,598460,-1,325836,707465,-1,-1,204910,-1,116516,195715,-1,418324,-1,-1,-1,318067,-1,174311,-1,812806,-1,-1,628972,62655,-1,979750,-1,515068,-1,-1,-1,-1,276326,-1,-1,-1,-1,922118,851740,167288,437705,442270,-1,-1,-1,332525,-1,548198,-1,390766,661023,-1,604067,875445,-1,566376,-1,-1,-1,-1,480715,-1,80847,40911,-1,185513,-1,-1,118544,302776,-1,332200,-1,-1,-1,50763,-1,-1,512799,-1,386972,-1,614841,-1,971935,228727,-1,220017,496874,87438,37661,371355,-1,-1,571586,-1,165254,-1,-1,-1,754470,177214,-1,55437,959068,-1,232221,405459,767505,473760,699171,-1,718276,-1,-1,301222,-1,628664,-1,-1,827770,968129,930657,447203,901382,-1,-1,-1,-1,91879,554879,82118,727356,112535,-1,-1,657837,746591,-1,226120,-1,-1,516849,276896,-1,-1,818815,276167,233251,836838,680905,-1,-1,157938,703806,291611,-1,534653,-1,919199,-1,528674,643040,418882,832403,-1,-1,-1,336210,-1,-1,-1,567344,-1,-1,641782,-1,-1,635830,-1,447182,456235,-1,-1,970722,-1,-1,-1,107980,-1,-1,-1,-1,226849,-1,-1,-1,-1,95297,-1,-1,-1,27187,-1,729662,-1,-1,-1,-1,-1,372765,827099,-1,-1,-1,403462,875296,726369,-1,804728,870973,-1,-1,-1,911793,-1,-1,975379,-1,-1,146610,373145,-1,-1,754181,655055,-1,-1,-1,-1,387979,-1,833930,-1,-1,-1,563905,-1,960048,680710,953569,904962,-1,-1,301119,416192,-1,742801,334365,16199,451247,471132,413415,-1,264262,-1,83392,941146,220180,-1,-1,20624,474460,-1,-1,163034,-1,-1,-1,296608,-1,-1,843390,-1,-1,549987,715368,48200,557299,-1,899333,-1,437131,-1,224755,922538,77100,-1,85964,182850,624022,350594,-1,-1,414774,763513,779445,810729,-1,510604,85418,-1,-1,-1,681306,764626,566354,124056,-1,-1,-1,514959,-1,-1,-1,-1,-1,329500,-1,928509,408038,717380,-1,-1,-1,-1,938922,-1,-1,-1,-1,-1,-1,411121,556067,-1,105622,864298,-1,-1,212707,329103,777868,-1,121152,-1,816544,-1,173822,793617,-1,-1,-1,-1,675591,457730,707924,153715,-1,-1,-1,-1,501506,-1,-1,-1,-1,-1,-1,586933,903771,46895,448823,631796,-1,425449,882156,504651,-1,72452,-1,29480,152790,-1,120359,-1,-1,-1,-1,914739,641753,-1,99545,-1,491239,942698,-1,-1,688096,73899,67313,953466,86239,-1,-1,-1,-1,-1,-1,-1,-1,-1,690892,-1,820065,17816,518180,-1,-1,-1,706041,236670,633391,-1,-1,126775,-1,-1,-1,-1,-1,-1,-1,-1,996010,-1,-1,-1,-1,-1,857859,499698,875679,-1,-1,-1,770551,861647,-1,-1,981466,858368,862516,-1,-1,821999,-1,804959,-1,340268,-1,-1,20855,229284,663130,-1,499520,-1,865025,-1,992850,319903,642447,954327,905735,666041,977878,-1,875998,-1,769225,-1,713117,897353,-1,67065,88094,-1,621615,-1,-1,190632,-1,328119,-1,-1,960897,-1,669473,-1,-1,-1,26364,-1,399915,-1,332098,985937,245114,-1,-1,-1,-1,84792,100830,-1,14930,-1,820400,243994,621697,102414,194916,-1,896997,481424,334896,450841,-1,995386,-1,-1,564676,832707,-1,-1,29017,-1,-1,-1,-1,812440,235147,-1,130282,-1,-1,-1,21768,-1,232342,108219,844637,668886,207227,930652,-1,-1,527061,500420,-1,-1,-1,-1,-1,-1,-1,79536,-1,-1,-1,-1,-1,314222,158093,-1,-1,-1,695253,-1,820354,-1,112957,-1,764832,-1,-1,-1,807503,-1,711777,-1,-1,-1,-1,832557,300450,-1,613547,87013,-1,-1,658875,590223,188402,-1,542011,848927,618872,302409,399165,398457,495022,-1,560000,565266,-1,-1,544430,393336,-1,65306,-1,-1,591857,-1,-1,-1,-1,602413,-1,-1,-1,225080,159263,921393,592352,610260,883354,-1,47117,828446,-1,-1,-1,-1,-1,-1,-1,-1,384129,268103,666574,-1,-1,916806,957380,-1,-1,-1,-1,-1,612019,394134,-1,63819,-1,-1,19376,999033,-1,71760,-1,-1,593559,542787,830051,485690,300671,-1,97369,505052,-1,403837,-1,-1,921817,141976,-1,-1,-1,318861,468845,560253,-1,714982,798857,974529,-1,949323,713503,-1,9500,859458,-1,-1,-1,408546,926339,11055,331828,-1,-1,762178,-1,319089,-1,-1,192903,-1,-1,-1,-1,178597,703429,282481,-1,-1,-1,392841,-1,-1,425694,963083,-1,265905,-1,994213,775398,120961,-1,-1,738045,-1,382751,-1,372708,517265,-1,887028,-1,-1,-1,124988,-1,-1,-1,-1,752310,400332,873180,-1,-1,-1,907603,-1,644164,884640,354840,-1,-1,361113,-1,802029,297277,716170,323447,704697,-1,776161,618018,105122,539212,654729,-1,-1,365362,935369,-1,446338,-1,-1,522225,524038,-1,289252,482196,-1,10459,-1,40918,981675,572026,503713,-1,617288,880435,223555,-1,375350,-1,-1,-1,-1,-1,-1,-1,418180,-1,858059,611614,274706,-1,-1,500324,-1,334572,576287,-1,-1,-1,464112,471947,-1,-1,-1,-1,195771,-1,-1,814603,-1,547781,-1,485957,45814,228177,614882,-1,951346,-1,-1,519271,-1,-1,398997,594904,478833,-1,-1,879707,823151,593632,-1,83932,505775,274308,769322,-1,-1,-1,-1,631987,-1,76361,753968,455792,477025,753587,48008,236736,-1,-1,143993,-1,-1,172839,878679,-1,547249,507043,686442,-1,-1,-1,-1,-1,273987,-1,-1,-1,313606,940804,389893,-1,-1,-1,203724,-1,-1,-1,-1,187,870672,383491,22993,-1,436966,-1,908483,-1,797595,-1,419948,-1,826331,-1,-1,-1,922195,-1,289389,-1,408960,-1,631676,915536,58967,60689,778891,202542,156284,-1,67386,-1,-1,-1,685334,-1,-1,-1,-1,603146,-1,376245,-1,-1,737623,768292,-1,163953,515142,-1,-1,-1,360802,-1,-1,-1,-1,754590,-1,659756,792669,839267,-1,-1,1203,621499,-1,-1,546712,-1,-1,-1,90830,892507,-1,476094,162995,501,-1,397975,654991,386844,-1,-1,154039,-1,309312,277759,777551,-1,68419,769924,-1,683084,879598,-1,-1,-1,106305,74012,-1,-1,-1,798426,883526,247715,475203,340278,73029,704763,540808,750107,485595,774056,578082,-1,-1,798187,832112,-1,-1,175181,185992,372657,-1,669224,685824,-1,-1,-1,111021,-1,-1,676422,-1,-1,-1,645438,-1,265822,-1,878131,770538,501428,16662,-1,-1,388109,-1,-1,-1,155704,29182,-1,161996,474203,547949,594240,-1,-1,-1,653646,106307,-1,227295,442269,296627,-1,562342,-1,-1,944760,-1,-1,-1,52082,626476,682218,873831,-1,-1,756788,-1,154397,-1,849227,-1,-1,662532,851562,-1,-1,280842,-1,276913,-1,914158,19839,-1,840290,-1,-1,44998,-1,-1,-1,-1,116311,657525,264546,-1,99454,-1,893342,-1,-1,474722,-1,294884,-1,303889,-1,-1,-1,395158,131128,-1,-1,335441,-1,-1,-1,327575,-1,824175,588297,-1,527853,-1,459821,-1,467314,-1,-1,444078,176561,-1,-1,865130,-1,-1,679978,-1,118878,-1,719663,55271,836501,-1,-1,-1,-1,-1,673548,285177,917473,905907,85239,807126,-1,255630,-1,-1,-1,-1,-1,798494,625437,-1,325583,735251,413105,-1,-1,10689,310376,796250,667047,-1,587219,320526,-1,868607,-1,-1,618448,721628,-1,-1,-1,22903,-1,-1,-1,875375,132933,-1,-1,-1,46998,919820,883965,698007,179926,992395,-1,585943,-1,-1,380925,-1,-1,725007,-1,154430,-1,-1,-1,-1,-1,835127,-1,124931,-1,-1,223829,38319,841857,-1,451060,638943,-1,-1,497602,-1,115764,-1,-1,-1,-1,93982,-1,159264,831127,609491,-1,-1,461668,668791,475902,97354,284014,425265,475455,-1,200564,-1,312224,928774,359943,743550,437581,-1,-1,379049,-1,616327,-1,452070,-1,999933,401287,477086,-1,-1,720798,255376,366507,799246,-1,-1,-1,405548,-1,-1,-1,499780,-1,-1,435936,265520,-1,-1,87557,-1,-1,-1,437408,254759,-1,-1,307620,937649,-1,721104,763456,879928,-1,346567,373589,688966,180323,695723,19885,-1,477916,-1,525736,813051,-1,812438,957945,-1,-1,-1,657180,-1,133483,369654,-1,-1,-1,-1,-1,2377,-1,-1,-1,-1,967370,-1,587482,-1,-1,-1,-1,709782,-1,967153,201677,875054,-1,849560,-1,858722,159102,-1,-1,-1,-1,-1,-1,536076,848253,92450,617553,-1,777463,-1,373982,732672,556926,-1,766083,856879,-1,-1,-1,219222,236398,647428,-1,-1,-1,-1,530545,874417,514177,-1,78153,85650,-1,-1,653107,545966,-1,194716,981693,598683,-1,683309,-1,-1,-1,386994,136370,-1,798492,227222,857137,309899,-1,249688,-1,-1,677213,-1,323706,909007,-1,893301,579298,317113,441039,-1,510281,533266,870018,462627,912515,-1,93118,-1,709670,-1,261565,-1,-1,-1,-1,-1,-1,521505,-1,-1,-1,-1,-1,-1,210117,-1,569555,525338,947553,973346,-1,-1,901110,-1,-1,-1,-1,-1,-1,-1,-1,-1,266459,-1,666630,243581,309373,-1,-1,-1,-1,557570,-1,-1,-1,283489,808495,-1,-1,725263,-1,630319,-1,133022,311147,-1,-1,476256,247434,-1,337214,868820,752603,142229,804844,164863,187260,-1,159989,984285,5185,578211,-1,-1,306621,-1,737251,-1,-1,50910,-1,288243,602154,437042,713448,-1,209485,-1,-1,-1,-1,869293,345068,448827,-1,-1,531472,-1,-1,-1,72969,940060,629087,953523,-1,402047,-1,329175,-1,-1,-1,691917,-1,-1,-1,638485,594992,453032,-1,-1,-1,341052,-1,735435,-1,378085,815559,507830,475136,290923,-1,-1,623481,587425,-1,-1,572239,-1,-1,-1,128202,-1,-1,-1,645910,108069,-1,-1,498786,-1,-1,449107,50881,204124,-1,-1,86613,-1,869665,-1,800096,-1,330136,28305,-1,-1,314322,812448,707284,-1,-1,-1,-1,106523,954313,543333,282023,-1,888330,32182,982943,-1,767666,-1,-1,127222,-1,-1,766349,-1,-1,-1,-1,175251,683210,-1,50590,-1,506783,190459,-1,547851,-1,-1,714688,-1,794774,125376,426822,725072,-1,704602,-1,713923,-1,163012,371482,113368,792257,-1,710429,69522,-1,-1,964598,585947,565077,-1,650844,-1,-1,-1,65972,930374,-1,-1,-1,-1,-1,263208,-1,-1,181379,-1,-1,-1,177710,240035,-1,-1,-1,-1,930296,523384,866045,375617,-1,999966,725057,240422,976744,-1,888775,-1,544209,-1,-1,-1,-1,837259,303751,-1,-1,-1,-1,-1,-1,453731,-1,565749,-1,-1,511975,287992,714787,-1,546470,192053,-1,544336,-1,-1,961991,339098,130775,137319,285999,-1,262953,-1,979700,594682,-1,990499,-1,707441,350100,-1,622691,-1,-1,604354,-1,-1,210032,-1,960086,542486,959604,-1,892702,-1,-1,514151,-1,-1,474882,-1,-1,298275,-1,-1,-1,-1,-1,351367,298569,-1,71422,382321,971875,-1,-1,908935,-1,316825,913060,709367,-1,-1,40724,349529,800477,326162,-1,692071,-1,517834,808838,-1,787687,-1,-1,-1,390320,-1,265459,360713,-1,-1,-1,-1,814442,-1,994022,880683,-1,-1,504066,869101,592908,701664,-1,610568,-1,-1,705767,-1,853404,946506,826234,968996,-1,-1,794554,805028,-1,408667,-1,-1,-1,-1,300124,-1,-1,882533,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,708825,783685,515914,-1,132972,-1,803466,188455,445070,822386,496483,453615,-1,-1,600467,-1,-1,-1,377540,291960,672252,-1,-1,-1,-1,640114,-1,-1,476814,-1,-1,-1,882996,-1,754717,939575,426993,-1,190647,575737,-1,-1,-1,620376,-1,-1,769056,610705,-1,511952,-1,993877,-1,-1,324395,-1,-1,-1,-1,-1,-1,-1,-1,941353,932812,783499,-1,-1,-1,-1,-1,22735,-1,218321,-1,-1,551376,-1,807516,211898,803823,-1,769491,-1,-1,-1,-1,946393,-1,371899,-1,99542,-1,-1,-1,-1,-1,805641,240973,477663,-1,-1,-1,-1,892058,365544,-1,-1,-1,-1,-1,-1,-1,95432,-1,28868,-1,828176,451192,-1,-1,-1,-1,-1,711306,-1,-1,199044,-1,-1,-1,101576,-1,620025,-1,210728,362675,-1,-1,308510,-1,-1,711629,-1,899867,25334,-1,442337,-1,112873,893460,437232,694082,-1,188958,-1,875304,-1,-1,-1,974533,772908,395468,-1,-1,-1,-1,-1,323057,-1,-1,729729,870945,974361,-1,-1,915806,711297,-1,259874,576084,950915,-1,-1,787354,-1,-1,645371,-1,-1,-1,606566,937226,-1,-1,130682,186093,-1,-1,913111,-1,687983,328921,-1,-1,963771,622610,-1,-1,434153,-1,-1,-1,-1,618606,-1,121287,-1,462847,-1,388800,-1,948746,-1,659694,370051,624120,653072,90493,-1,-1,-1,-1,420375,-1,607489,-1,206910,-1,-1,-1,328530,405043,433138,-1,-1,-1,493187,809686,-1,-1,-1,-1,602098,-1,96315,526309,-1,-1,82846,502225,327260,-1,-1,584737,858926,-1,844268,-1,692432,326157,-1,139725,494149,-1,-1,21319,-1,365113,127080,-1,103440,-1,-1,440021,141385,407967,-1,616097,111602,-1,608785,-1,148186,-1,-1,377078,-1,606335,998377,-1,706345,856697,380099,-1,941963,910363,-1,396363,268968,254078,709429,-1,-1,-1,-1,746915,971172,504330,239559,525089,666577,-1,814572,300055,-1,-1,324431,-1,362820,-1,40446,501485,271479,-1,573857,-1,-1,-1,467591,-1,-1,125216,366044,56849,49016,-1,963078,348207,987030,-1,535622,-1,307732,-1,-1,17185,109349,628212,822304,273173,837622,81704,-1,-1,519645,-1,-1,831139,-1,-1,-1,-1,-1,124579,44372,390942,458723,56749,581908,509688,500901,-1,315788,-1,682932,-1,-1,-1,889119,-1,-1,105500,970968,114941,951914,631921,-1,-1,-1,-1,760432,-1,-1,566927,783982,-1,-1,-1,816227,-1,23141,743488,-1,940982,420508,-1,-1,562056,-1,735759,-1,824253,247778,-1,371842,-1,523264,774864,462085,-1,-1,-1,-1,76842,896150,149971,-1,339419,296011,484058,-1,-1,-1,-1,-1,-1,752379,73122,858642,515782,-1,459705,502945,813869,-1,19034,-1,462471,-1,-1,76334,120410,840393,223859,481497,-1,71758,-1,981788,571305,-1,172398,800444,-1,336021,326175,616744,336801,-1,-1,-1,-1,-1,365876,146721,173930,-1,359840,-1,511934,31603,-1,-1,149825,-1,-1,-1,918752,946763,398714,-1,722898,605836,913557,522418,33171,-1,409856,807105,-1,-1,358041,969963,275302,-1,-1,549222,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,235112,455672,-1,806146,-1,371272,-1,-1,-1,195403,556773,-1,-1,-1,-1,-1,520772,-1,492457,745393,-1,-1,-1,978949,-1,321687,804189,-1,-1,338460,388271,-1,-1,-1,197591,-1,20635,-1,-1,351644,173940,-1,-1,873158,168355,731487,462870,700919,-1,992579,287159,151058,-1,-1,-1,561572,-1,-1,-1,720261,41960,-1,142210,-1,279266,-1,-1,462263,-1,666261,876739,394526,-1,-1,-1,26218,-1,18497,22411,-1,648605,-1,-1,-1,-1,-1,-1,-1,492215,32819,282000,957613,-1,-1,536738,-1,556138,955277,828579,240041,816489,-1,210644,-1,483166,132188,916304,-1,636431,416277,-1,218273,-1,977147,978341,-1,110881,-1,728315,477476,146410,-1,-1,107020,-1,23409,-1,-1,275962,905634,-1,956483,989286,-1,171404,1613,837172,712379,-1,532931,-1,165386,-1,-1,481020,-1,-1,-1,-1,531016,769137,296065,948428,-1,-1,630979,-1,624376,-1,821847,-1,160735,13301,476144,376981,-1,-1,465660,-1,578121,948353,-1,-1,347219,830056,916752,225257,-1,517423,366728,-1,-1,243093,223127,356583,684119,349747,-1,557285,-1,-1,-1,-1,786163,-1,-1,-1,-1,643048,866025,-1,797203,-1,872328,724956,156116,258388,-1,318695,-1,-1,-1,-1,108885,293936,11323,-1,-1,180708,-1,980677,-1,-1,-1,241867,925795,114744,357076,577650,600615,950735,-1,49620,-1,-1,-1,561702,224484,97343,927968,757547,928196,-1,206382,639678,-1,-1,-1,-1,77533,415051,-1,222226,-1,884278,6875,-1,208093,843794,-1,824109,761494,236824,67539,741384,74034,983046,-1,233748,-1,429947,642369,-1,232410,25131,-1,-1,-1,-1,308932,-1,786156,375285,-1,43,588894,451068,-1,-1,-1,630682,459349,881217,-1,-1,-1,-1,264142,-1,-1,902629,648806,127379,-1,-1,-1,-1,-1,-1,76803,-1,-1,-1,209034,-1,189956,340888,-1,-1,-1,-1,691859,-1,-1,-1,285948,-1,669809,831252,29324,-1,-1,-1,-1,527486,-1,-1,891380,226705,-1,-1,468083,-1,220811,396732,-1,718491,-1,-1,137589,-1,130727,227094,110517,-1,-1,-1,-1,-1,753625,669618,-1,168228,-1,493243,-1,-1,286534,452800,1134,-1,-1,-1,546283,69521,497655,-1,-1,696168,-1,-1,-1,836350,50655,-1,673422,357153,715574,-1,503507,-1,-1,831953,-1,-1,17421,-1,531543,543366,-1,539068,741552,600434,313638,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,677707,8109,420265,937169,701617,-1,965512,-1,49137,-1,477648,-1,-1,795828,884629,-1,-1,-1,160649,369806,966349,-1,445030,754398,-1,-1,917707,-1,675903,865579,-1,-1,-1,-1,-1,268895,-1,397995,-1,-1,733455,84460,772342,402824,-1,-1,-1,504489,551852,-1,274809,503533,-1,-1,-1,285443,-1,116450,586090,691466,-1,-1,-1,-1,851703,174399,186940,904483,-1,932970,637156,356594,-1,66724,-1,475658,817250,-1,-1,22490,-1,-1,-1,763599,-1,753387,397514,-1,-1,258922,689411,968155,849313,478772,547941,-1,-1,58424,-1,-1,355282,-1,-1,323520,224642,459663,113308,575756,429441,-1,-1,-1,753299,176986,-1,84260,686670,-1,601678,203051,-1,178961,991531,-1,-1,681342,382548,94312,738962,-1,-1,987097,-1,92778,-1,509003,88916,-1,-1,-1,873901,-1,-1,702111,-1,126521,554328,913107,-1,465463,-1,-1,-1,178138,398035,-1,561670,-1,31889,-1,-1,945751,328320,419289,818226,721543,-1,-1,624690,63192,-1,-1,211422,619233,-1,119221,459533,-1,679168,-1,-1,359962,-1,965135,136401,777595,-1,557367,496957,-1,448625,-1,-1,563185,525516,-1,-1,980648,358031,-1,633669,-1,-1,-1,33992,-1,834695,837379,-1,946274,450212,-1,248482,226791,53474,-1,-1,728759,554535,473703,-1,535474,-1,946971,93117,351016,-1,-1,-1,736689,-1,-1,-1,-1,807582,-1,394086,499238,-1,-1,-1,268612,674303,761784,875646,-1,-1,773453,124,548521,858507,932373,-1,-1,975,-1,-1,-1,-1,70466,404356,-1,-1,674866,-1,-1,799929,646540,905742,-1,916026,308785,-1,532742,-1,-1,-1,-1,-1,625212,-1,-1,-1,-1,379124,58049,117765,177269,-1,956163,-1,740964,387638,-1,998599,-1,962235,995421,-1,795078,810405,424980,45193,583675,427511,-1,-1,-1,259721,628412,-1,-1,186674,-1,-1,234940,-1,-1,97276,-1,638104,-1,528077,-1,-1,763925,654514,510749,-1,700913,-1,-1,-1,597230,444289,-1,-1,-1,-1,-1,623345,-1,-1,187159,391694,658485,125246,-1,583916,-1,-1,-1,224573,-1,-1,-1,74803,525858,483196,-1,-1,-1,-1,450477,-1,-1,279098,-1,-1,126382,-1,504303,-1,718777,-1,-1,999400,852304,-1,102755,434203,489614,96028,222518,-1,-1,101426,-1,-1,784255,-1,229156,379919,-1,-1,325501,559170,51512,142721,-1,595212,-1,-1,939809,-1,340790,-1,-1,-1,397865,232959,390742,-1,501665,-1,130357,-1,-1,-1,-1,-1,-1,983964,-1,745283,870586,-1,867673,-1,641460,377564,791271,816323,905542,-1,108237,761325,-1,-1,-1,264008,-1,-1,826170,82695,749999,161942,696655,235961,683360,570884,105560,232659,-1,-1,967848,-1,-1,-1,-1,-1,410062,-1,560370,-1,628063,481117,-1,672964,686802,832391,-1,-1,872365,729551,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,55705,-1,-1,-1,-1,-1,319433,-1,427684,39870,-1,284837,53059,207149,-1,531192,-1,124121,-1,-1,22749,412064,75301,365894,-1,884498,104087,788016,-1,460676,524458,293219,-1,-1,-1,858034,982997,-1,278860,538506,-1,-1,-1,-1,349865,618731,-1,426969,-1,-1,882412,-1,-1,850469,-1,819079,-1,-1,268230,-1,193972,-1,-1,505008,424139,168937,580909,895906,-1,-1,-1,-1,630884,483419,676412,682792,-1,14942,764103,-1,-1,353691,353896,35505,-1,-1,842468,26944,-1,-1,-1,66765,-1,914177,785069,266248,49119,-1,844533,98643,945962,-1,90953,553834,919927,-1,-1,543799,-1,105129,-1,509364,-1,681518,243776,302401,-1,933494,-1,569588,-1,-1,997687,18539,-1,523501,702637,630404,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,489908,533445,428152,-1,-1,-1,-1,-1,418588,871111,-1,562723,148239,345751,89936,-1,-1,-1,-1,-1,394624,-1,-1,572727,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,560608,855365,669306,-1,34172,-1,-1,757078,-1,-1,106189,-1,624164,-1,-1,832474,-1,386642,-1,671641,719041,179654,785231,633705,718789,347572,-1,86017,-1,379801,-1,-1,995856,-1,-1,-1,770012,750463,479805,-1,-1,230331,-1,454776,-1,-1,-1,-1,399155,-1,-1,-1,761108,-1,-1,-1,793682,-1,559836,634915,676501,-1,-1,667777,-1,255353,-1,277570,-1,-1,-1,387734,915164,384540,-1,-1,-1,138741,145283,170388,820444,-1,373029,-1,-1,-1,555264,657428,989756,723854,-1,750877,199513,85230,249311,-1,630751,932532,-1,-1,-1,275470,-1,-1,-1,-1,405633,430572,-1,-1,304946,-1,175347,-1,397453,-1,681168,894525,913393,859089,-1,-1,313026,796713,529802,961034,-1,167400,345898,917024,-1,-1,791305,294617,739001,371207,951926,-1,-1,175160,144478,-1,331992,-1,374199,899762,-1,26435,-1,-1,53891,-1,520562,526594,-1,335016,-1,269714,534604,999023,933172,435290,777308,-1,-1,-1,-1,-1,541167,-1,-1,895787,-1,482139,704799,-1,271682,-1,-1,717761,-1,478433,279659,-1,400433,537115,716377,658770,-1,-1,543789,-1,843658,-1,-1,497926,34622,-1,537474,884035,572000,-1,455383,-1,726569,623629,235430,-1,-1,136376,425219,611649,95755,808108,996873,-1,-1,-1,-1,-1,-1,-1,-1,268333,97105,-1,801604,-1,539725,-1,-1,-1,561447,398257,284037,496197,217554,172540,-1,964160,-1,254904,-1,-1,964607,676951,914352,-1,-1,650999,-1,-1,447783,-1,90068,-1,-1,-1,526016,852062,939674,885285,-1,-1,-1,-1,439545,-1,817035,-1,585471,-1,818554,872905,418197,751884,805110,-1,501552,434996,-1,-1,-1,960201,-1,631017,560136,-1,916145,-1,17004,157087,467935,555831,-1,-1,-1,-1,164350,-1,603740,198361,487206,109215,-1,-1,145496,292569,-1,-1,123574,-1,-1,-1,-1,-1,-1,573735,-1,483050,-1,796246,-1,340772,321611,-1,-1,-1,-1,688036,318051,455461,-1,-1,856658,-1,403141,-1,940457,-1,733629,-1,805766,852473,-1,-1,-1,-1,-1,911025,-1,842781,157388,-1,-1,520890,-1,-1,-1,74298,700280,-1,415934,-1,-1,457694,627475,-1,620070,-1,-1,-1,-1,694460,887964,632611,-1,31794,-1,-1,-1,-1,-1,-1,-1,919175,403149,-1,655588,-1,269132,160122,808778,-1,650385,-1,-1,379206,-1,-1,-1,-1,-1,500678,908857,598576,439677,272306,818387,-1,-1,-1,-1,-1,-1,252608,586125,-1,729884,969666,475490,-1,569502,726399,-1,-1,-1,580291,131274,390279,970021,240320,-1,-1,248976,-1,329617,70872,-1,319255,-1,12057,-1,-1,444922,52749,-1,-1,823349,361180,-1,-1,508412,49795,622047,-1,-1,-1,707713,785387,330082,-1,205709,334846,-1,53381,-1,-1,887471,239464,-1,-1,-1,-1,-1,-1,-1,-1,862710,442374,734805,-1,-1,-1,-1,120155,506005,706265,-1,28393,-1,-1,909,22420,-1,-1,-1,303239,-1,473964,-1,-1,405512,-1,-1,727666,255026,335917,861979,126053,-1,399132,298144,737632,-1,563571,-1,-1,-1,-1,919670,520899,323764,-1,-1,-1,425231,840046,-1,942607,928918,540354,242657,-1,-1,-1,165908,150382,-1,-1,-1,-1,-1,-1,28746,-1,-1,-1,-1,-1,663100,688830,600472,-1,-1,-1,864947,-1,481336,-1,950199,-1,-1,128466,726621,180336,319878,534184,449547,-1,316162,406043,936198,-1,-1,-1,885108,863635,959764,-1,-1,-1,-1,920801,-1,-1,428541,162233,-1,-1,-1,587924,820922,-1,957565,-1,-1,-1,554061,-1,-1,478171,-1,862743,-1,-1,753197,-1,257131,-1,381484,-1,705573,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,413267,-1,724485,-1,564637,-1,440146,-1,-1,-1,338135,727980,689738,-1,-1,-1,261221,218841,395908,259615,-1,853426,587180,429901,859723,-1,-1,-1,936013,-1,180724,126577,-1,-1,-1,-1,949056,330484,-1,-1,6130,332225,-1,620149,-1,-1,-1,-1,-1,352683,-1,459836,630656,541061,-1,938350,-1,-1,777692,216210,-1,-1,-1,842593,443289,-1,-1,-1,-1,540821,586467,11350,-1,-1,-1,-1,596630,982058,-1,599147,417519,127176,677985,278697,-1,670105,360995,-1,-1,736745,793642,-1,-1,-1,518146,477700,-1,720643,-1,-1,-1,895639,827322,730156,-1,563963,44974,198300,-1,60562,-1,-1,-1,336805,449984,-1,-1,-1,160408,-1,-1,-1,-1,-1,500809,-1,-1,-1,123148,954467,871983,-1,183760,-1,586148,-1,-1,696890,-1,565342,994534,-1,264489,-1,786137,648757,-1,-1,-1,110357,-1,636473,121904,593909,-1,610529,18751,43159,-1,506549,-1,-1,952894,303988,-1,-1,-1,-1,8965,-1,-1,735672,-1,767845,-1,-1,24308,-1,695179,70766,905855,-1,728939,-1,-1,-1,499744,-1,444205,-1,216257,-1,-1,-1,341849,632567,-1,193547,693326,218102,434807,736849,765720,375870,511814,-1,-1,225863,231870,399317,-1,-1,572682,902902,628094,-1,-1,181302,-1,-1,708728,-1,328136,-1,-1,533029,616951,954647,79177,999562,-1,-1,-1,134727,-1,686157,110685,957656,-1,218828,-1,601385,-1,519170,-1,776659,-1,-1,-1,315068,-1,-1,-1,-1,25852,213443,200491,360396,802676,-1,389590,780368,494027,-1,696514,79226,-1,777816,-1,-1,950286,-1,881050,48438,811482,12364,-1,159445,195287,-1,308523,-1,-1,756942,558573,940782,97335,-1,-1,691941,-1,-1,-1,-1,-1,-1,94379,-1,964351,-1,842984,825721,-1,-1,-1,668836,-1,-1,-1,-1,-1,-1,316328,-1,-1,936647,608015,-1,-1,728119,-1,-1,814178,696151,-1,539729,-1,-1,-1,-1,892024,130062,765314,385257,432000,-1,-1,-1,-1,-1,-1,72707,-1,917664,893984,88027,557454,53111,428626,456037,268633,-1,510305,-1,-1,-1,433759,722186,-1,69118,564726,-1,222482,-1,905869,817990,-1,633561,-1,943054,-1,768405,-1,342197,-1,-1,144118,473405,830786,195091,-1,959869,565156,360546,13307,-1,969823,-1,759480,-1,-1,-1,419826,881815,524825,930435,-1,-1,910373,-1,784903,861829,244730,-1,626678,509974,52916,619046,-1,-1,-1,-1,-1,81353,335830,439614,631403,-1,-1,-1,924152,613052,534863,-1,229184,125634,-1,-1,165879,-1,-1,-1,639330,891980,986090,-1,758536,567152,-1,-1,-1,-1,222554,-1,-1,-1,-1,714015,-1,-1,-1,399514,-1,-1,378738,-1,4117,299334,895485,-1,-1,-1,550507,-1,64397,713322,559376,-1,-1,705897,937673,299262,323682,103711,-1,331705,312903,-1,-1,666882,325350,279306,-1,848425,137764,497896,961784,559282,619244,613784,680118,-1,640474,690253,-1,-1,-1,729231,998647,347439,65188,-1,902164,-1,674003,-1,-1,318429,-1,-1,-1,295698,-1,-1,719161,-1,-1,-1,283674,-1,203096,-1,-1,146879,86822,-1,925834,-1,-1,-1,-1,-1,541858,-1,222177,84486,260328,693908,375331,-1,61983,-1,-1,-1,660174,388165,413584,-1,-1,-1,59214,-1,-1,743494,-1,-1,-1,-1,893659,-1,739706,74814,-1,96742,-1,334811,531501,-1,400431,-1,-1,979446,399787,-1,517491,-1,-1,-1,-1,765540,-1,253958,769555,-1,62182,-1,-1,-1,796409,-1,756688,979815,-1,-1,-1,765509,-1,-1,680264,-1,-1,-1,-1,821179,400858,697103,469774,131413,-1,-1,-1,128266,-1,817809,-1,899924,475964,917644,955739,392682,287759,-1,-1,-1,-1,325967,435549,136290,967662,-1,525253,-1,50679,198380,-1,718627,972783,423788,-1,-1,-1,-1,-1,450507,-1,767409,338843,365343,735452,432728,-1,352478,635226,227472,697828,-1,704016,604207,710911,-1,687543,716479,608770,-1,-1,-1,964352,-1,15392,-1,212743,-1,-1,-1,373129,913636,-1,75136,-1,675566,482926,-1,-1,873781,900581,-1,-1,681190,-1,-1,112032,970832,-1,-1,-1,989557,-1,434293,776650,-1,557781,-1,690632,-1,376569,-1,199582,-1,416065,-1,261179,-1,529137,366513,613485,346496,-1,116908,-1,738122,-1,-1,635282,-1,544597,508780,92682,-1,-1,633609,-1,45085,-1,-1,560977,191033,233666,109359,-1,-1,564599,426793,959447,364425,-1,290535,-1,-1,948163,980747,-1,-1,264031,696972,377840,-1,624200,185486,971587,-1,934548,-1,-1,-1,-1,-1,-1,174315,-1,930049,527106,339236,-1,-1,269676,-1,-1,739125,876063,-1,833843,409261,-1,-1,-1,-1,-1,-1,-1,591596,-1,-1,-1,21657,9729,648009,-1,925332,-1,466332,-1,43470,-1,-1,-1,-1,206768,260990,-1,626724,379297,-1,751124,-1,779145,642158,-1,688610,-1,691649,885873,609665,636124,-1,-1,-1,584898,426221,-1,-1,-1,453875,-1,339919,-1,62366,350237,142991,742116,756333,10439,895776,394069,508732,56804,484103,224616,-1,558766,-1,558424,-1,-1,980612,974853,-1,-1,-1,724410,54761,34705,-1,72663,-1,-1,61478,723845,264345,-1,863173,333303,-1,917127,-1,577919,798482,319388,-1,262556,-1,215945,-1,-1,-1,775429,-1,-1,493727,-1,-1,-1,-1,709258,906904,-1,416732,-1,-1,-1,-1,-1,422235,-1,720042,-1,380567,-1,-1,-1,130927,639721,152049,-1,-1,739934,-1,185857,-1,103022,134879,-1,-1,-1,-1,908334,432804,720102,533743,-1,594658,-1,897577,256269,-1,-1,463856,542505,-1,-1,-1,292327,-1,-1,241062,244578,-1,-1,402041,526081,-1,802460,300621,651253,-1,624947,863168,278410,-1,215126,115623,908602,-1,510396,-1,-1,327518,-1,163918,-1,830422,794829,961745,-1,-1,598340,-1,-1,152598,963577,903306,-1,-1,901619,656828,-1,812040,538894,785560,-1,-1,-1,41524,-1,487869,541537,-1,-1,254375,767576,-1,-1,957868,-1,-1,-1,-1,34889,535189,-1,987428,693952,370074,-1,-1,203901,459727,28817,354615,-1,-1,117452,-1,-1,-1,168919,-1,-1,-1,559778,325808,-1,5316,545066,-1,616261,73502,-1,770014,43064,895337,68970,-1,155470,853502,694774,985646,-1,945092,-1,-1,-1,285109,-1,309911,-1,625550,-1,126925,-1,880193,47642,-1,-1,-1,586824,-1,780828,675507,-1,809665,-1,-1,-1,352981,271919,109306,-1,297734,-1,-1,537279,-1,-1,-1,507128,-1,138461,362767,345393,-1,-1,-1,665351,-1,-1,-1,259933,-1,-1,-1,-1,-1,728806,-1,-1,532152,-1,-1,772280,-1,176952,-1,-1,404850,-1,-1,187084,-1,-1,144732,-1,350806,-1,469723,966219,385917,191398,518280,325601,-1,-1,-1,-1,20719,-1,759800,-1,156551,-1,-1,610223,-1,327403,-1,-1,-1,-1,922536,-1,92901,-1,-1,335578,184274,-1,-1,538275,277966,-1,-1,-1,269399,-1,887615,193685,226721,-1,724161,417831,6575,-1,316512,-1,177192,342902,-1,-1,959220,621815,-1,789223,-1,-1,696268,962637,285042,-1,864293,-1,-1,46229,622616,646185,672502,-1,-1,770085,459020,579053,726301,-1,839900,-1,-1,745361,-1,729896,-1,609355,-1,419588,400058,371493,587354,503457,274602,107309,-1,-1,-1,-1,-1,-1,665668,574371,239447,-1,-1,-1,-1,332072,-1,-1,-1,-1,47105,-1,642787,-1,689645,129880,884201,963283,-1,-1,-1,796892,52280,386265,992475,347099,308090,331224,-1,672229,386244,-1,506801,72863,165602,-1,596629,-1,-1,-1,-1,221681,-1,-1,392923,-1,-1,647035,821198,-1,-1,-1,-1,-1,-1,-1,-1,682555,-1,-1,-1,-1,25265,-1,766567,782964,842708,-1,-1,929843,890521,-1,-1,-1,-1,383104,965665,-1,322720,-1,-1,372365,53489,-1,416092,533830,205901,546782,896425,-1,-1,16123,-1,453087,-1,410035,-1,-1,403751,-1,-1,-1,-1,-1,-1,850725,23795,-1,25659,-1,-1,492740,-1,-1,-1,727466,403999,39146,-1,222700,-1,181271,-1,357873,-1,762809,663870,-1,665820,-1,-1,-1,501117,-1,171692,-1,-1,-1,43502,983750,-1,220860,917227,-1,830130,406301,945696,228190,274681,-1,505856,131688,144262,456762,853560,587882,-1,523347,605904,-1,147928,548544,-1,-1,-1,-1,803379,616829,324796,-1,-1,-1,-1,-1,-1,925069,7365,-1,-1,296447,-1,-1,-1,342830,232304,-1,990202,-1,-1,-1,-1,-1,-1,683110,-1,-1,-1,-1,-1,-1,902254,291282,805090,-1,-1,332019,780396,-1,551206,292973,564495,617187,800870,-1,266913,-1,568655,-1,439905,-1,340042,269294,15477,584325,877877,498184,198911,-1,977148,226295,-1,546978,571354,-1,706617,-1,-1,493052,198093,-1,456582,-1,855403,-1,321046,700287,-1,3199,-1,959623,-1,833611,347813,-1,808472,974786,713838,-1,-1,295099,-1,-1,600505,-1,-1,-1,-1,323147,-1,742893,754282,-1,583465,-1,609935,886270,-1,230185,-1,-1,879067,747308,-1,20171,253386,299301,-1,36555,375288,344977,-1,512275,251222,319197,-1,-1,470386,-1,-1,-1,398084,397442,782232,313180,245947,-1,549076,-1,-1,957087,261269,-1,-1,195171,577680,-1,710953,-1,-1,-1,-1,122879,-1,-1,631521,-1,233273,23249,148197,-1,938534,498423,25672,-1,427827,-1,53391,-1,-1,-1,-1,-1,-1,-1,-1,523014,-1,661649,947811,880633,422240,539932,837181,148165,-1,-1,-1,-1,-1,-1,195990,-1,-1,636142,-1,-1,-1,-1,169912,286851,788556,153257,919212,853044,907661,17700,205172,-1,232548,8714,885185,60305,-1,598138,929865,876784,-1,-1,-1,811786,-1,-1,79772,579202,780140,-1,84644,-1,-1,298348,-1,-1,785033,11801,568494,82121,-1,-1,48532,830254,-1,-1,791634,174375,329511,691109,-1,213116,590825,-1,-1,483438,-1,-1,566590,743681,-1,-1,740643,619495,-1,-1,89341,-1,913510,13556,583008,-1,386582,923127,-1,629516,76382,74696,675478,144973,-1,-1,-1,-1,786782,-1,238881,800042,-1,-1,320739,195869,14218,168660,-1,528712,909782,-1,425695,-1,-1,139881,435332,-1,-1,-1,29729,-1,-1,-1,-1,322893,-1,849358,19509,-1,-1,-1,462909,722424,575843,178877,-1,-1,-1,-1,87639,-1,885588,962777,950945,-1,942885,864504,497041,-1,604336,-1,616131,939529,-1,481146,299732,-1,248217,-1,784987,832652,-1,362056,-1,-1,27684,-1,66039,-1,-1,-1,658805,-1,-1,886272,906891,-1,691832,-1,859581,-1,870202,-1,608883,29633,-1,971041,306727,577733,82009,198394,687843,-1,255167,-1,389377,707818,-1,-1,-1,495454,-1,418938,524856,-1,726604,106125,825339,-1,832974,147641,-1,-1,621966,-1,-1,-1,232866,68662,573387,305730,301636,-1,-1,606371,846539,195513,914853,-1,-1,668129,833094,301891,-1,-1,-1,-1,-1,54419,652358,-1,-1,-1,969277,403003,-1,399036,-1,-1,-1,-1,101093,110879,869303,8126,-1,-1,-1,-1,27828,495817,38921,339686,-1,205982,-1,-1,546354,-1,-1,914064,-1,42972,980271,479199,485539,-1,190314,-1,774565,316472,-1,566109,851330,318583,786391,503119,443335,667944,5614,705814,770477,-1,204916,299230,-1,589743,528409,580232,586575,932534,258235,-1,696856,268598,165384,-1,26538,-1,-1,-1,87611,332214,-1,641385,814212,-1,-1,-1,351819,-1,280796,976328,891200,288932,97374,821544,-1,310618,-1,-1,-1,171346,-1,-1,816025,255118,-1,910095,-1,-1,881888,107927,961979,-1,-1,-1,980832,-1,-1,-1,578147,88423,-1,-1,-1,-1,-1,-1,82627,-1,-1,946126,344753,-1,808892,134818,132312,81024,365222,292885,922995,-1,-1,-1,-1,-1,345674,191273,-1,-1,214831,717634,-1,-1,941380,78188,766846,895306,749154,-1,806191,-1,-1,823758,-1,-1,-1,6397,772231,-1,301124,-1,-1,928517,472709,-1,64471,-1,834241,635916,-1,-1,386490,244334,-1,-1,404423,-1,937405,795915,199613,-1,-1,391888,-1,181510,-1,-1,27105,834076,23557,904050,503110,425260,-1,322360,-1,-1,-1,-1,-1,872586,-1,-1,583926,-1,-1,-1,-1,403081,-1,83422,172565,694104,808782,-1,-1,385158,-1,-1,866083,196322,30621,952926,946160,-1,-1,49486,814053,781711,-1,-1,-1,633052,-1,-1,-1,715816,768861,851122,-1,506891,-1,-1,762569,-1,210681,750310,-1,-1,-1,-1,895345,-1,-1,933010,-1,-1,-1,403054,795440,-1,-1,755008,-1,655470,-1,135633,-1,-1,-1,908311,567518,-1,471347,520050,746640,-1,894868,999180,-1,923907,535605,-1,-1,-1,-1,-1,108568,194026,915736,-1,-1,495794,-1,-1,-1,-1,-1,-1,554215,169619,182239,-1,-1,-1,337437,-1,-1,755701,-1,814586,-1,-1,812950,-1,658184,608079,-1,117793,454883,-1,-1,30470,335916,875021,690692,-1,-1,204312,-1,-1,126984,-1,678519,-1,-1,186788,-1,-1,-1,-1,706646,-1,227244,523531,-1,-1,-1,-1,717852,-1,193367,-1,-1,-1,-1,595888,985088,-1,-1,788876,545420,907920,943946,487029,712987,444209,-1,474261,-1,758040,-1,591413,155783,287076,832590,-1,-1,-1,-1,93326,-1,-1,867218,-1,153318,663307,551408,-1,582469,457946,940367,-1,-1,124854,-1,689338,619759,58545,-1,779225,-1,-1,473331,-1,-1,-1,558132,-1,-1,-1,823081,890277,-1,-1,276831,759273,221100,-1,730481,-1,-1,-1,546435,-1,347652,-1,-1,213902,-1,-1,939579,184077,-1,806178,-1,369100,975694,113634,6634,-1,578468,323936,99178,-1,-1,-1,687078,178698,365514,-1,-1,231559,-1,-1,529720,897301,-1,-1,-1,108940,-1,-1,517795,-1,-1,-1,147558,-1,-1,-1,-1,-1,-1,272038,128582,-1,-1,-1,481393,-1,49128,593800,-1,-1,-1,384970,-1,672348,-1,-1,-1,-1,-1,-1,-1,737044,204859,983180,55570,-1,-1,-1,901430,-1,536547,774673,492532,-1,-1,828268,311107,973871,-1,872607,-1,26824,-1,-1,980422,-1,-1,-1,471373,-1,743727,-1,703355,-1,-1,-1,-1,988054,815961,86873,255812,-1,558131,-1,966470,-1,181087,35522,78113,538124,725350,437735,535195,-1,-1,-1,-1,-1,999703,-1,166283,636944,464341,457374,-1,661796,619545,-1,859380,-1,628489,-1,-1,-1,207476,331016,938409,112339,464427,-1,373859,-1,-1,-1,-1,-1,669059,-1,648960,-1,916226,-1,-1,22412,341994,-1,699966,291555,807027,-1,595217,84141,-1,852359,344960,-1,-1,-1,574316,-1,-1,925297,-1,781950,972237,-1,288962,765998,-1,106697,-1,343993,295128,359402,662737,-1,-1,551358,47693,-1,937629,332531,925932,615243,-1,753478,958408,525640,-1,-1,-1,648538,-1,873855,-1,838245,-1,677080,46666,824957,141984,33526,-1,-1,-1,-1,-1,-1,922005,-1,-1,331457,216774,-1,-1,951120,398589,-1,-1,-1,-1,-1,245760,783578,-1,-1,-1,596845,-1,303845,30493,-1,-1,-1,693120,535080,757740,234867,763091,-1,430477,-1,-1,197985,261239,-1,-1,-1,-1,541345,139741,652860,851274,555545,342313,-1,202612,866388,582618,-1,-1,101429,697480,-1,773139,-1,383704,82762,-1,-1,262076,-1,-1,-1,892693,-1,-1,281230,986327,-1,-1,44997,-1,171872,92257,-1,705679,531906,95735,229808,-1,-1,-1,538759,605687,15217,205776,-1,700766,477581,-1,845057,897528,334433,340140,920156,-1,-1,823792,-1,-1,323537,-1,-1,-1,-1,-1,-1,-1,249964,541084,-1,852828,-1,-1,763068,-1,-1,-1,-1,-1,282507,-1,-1,261783,20476,-1,-1,538769,11674,-1,-1,429911,598275,-1,895462,792663,844317,330322,-1,81002,-1,418652,248649,410548,-1,-1,-1,951156,160032,183609,-1,-1,229866,-1,-1,551383,-1,-1,717988,328468,624532,-1,-1,736364,608933,-1,377903,829028,990473,866049,-1,520214,751160,-1,313956,39022,265433,-1,314339,-1,912922,564504,-1,695033,-1,52767,-1,192229,459524,-1,-1,531979,-1,-1,-1,852794,-1,-1,-1,692661,888431,103818,370704,-1,-1,427540,79032,487754,-1,-1,878129,309557,-1,242847,-1,234022,-1,-1,363711,-1,-1,550064,-1,-1,363706,-1,-1,-1,757413,734204,332197,380741,-1,-1,677023,196558,119848,-1,515391,107458,-1,-1,299815,230829,477829,-1,-1,635711,-1,-1,344941,660835,-1,573371,-1,18911,515493,304547,-1,39912,779980,611470,-1,-1,129374,-1,862421,-1,-1,-1,568995,66413,552685,262773,-1,39643,-1,456186,-1,225931,404671,-1,-1,120233,-1,-1,-1,-1,-1,791151,-1,639838,325600,-1,575799,-1,-1,240911,305764,-1,139414,513014,-1,-1,-1,414509,-1,106732,-1,154751,598166,795002,-1,-1,810716,542444,-1,-1,386176,524542,430666,39330,-1,225416,-1,877931,-1,931700,122803,778746,994055,-1,-1,897038,95389,329914,158862,684251,145996,-1,221153,-1,171025,485268,-1,378096,-1,-1,-1,479124,180053,-1,741766,372702,-1,229810,652344,-1,-1,-1,-1,-1,-1,760739,-1,-1,-1,5914,-1,-1,316620,-1,-1,-1,-1,551397,771420,193789,-1,819654,596990,213348,-1,386044,-1,720852,692261,73588,-1,-1,-1,-1,598238,-1,-1,411579,-1,891950,-1,-1,756491,-1,405134,-1,791965,-1,-1,-1,-1,42418,81714,-1,868584,837705,686303,994655,167927,-1,746426,-1,-1,-1,702486,-1,658885,-1,-1,-1,456664,400913,763700,43792,571306,571008,899403,35814,125912,61438,-1,-1,97999,714662,341635,-1,970138,961898,-1,451500,-1,707472,-1,-1,-1,-1,580547,860976,832438,-1,-1,-1,922972,-1,-1,-1,158562,-1,-1,-1,-1,-1,740304,948046,28928,-1,-1,696174,114105,-1,567930,-1,-1,-1,-1,-1,38086,-1,-1,-1,-1,-1,320674,-1,-1,789283,448770,-1,594768,931784,491459,-1,840834,88944,-1,914946,861672,-1,-1,334658,-1,451678,590628,-1,-1,369861,743840,569479,-1,842093,-1,-1,-1,-1,76817,-1,-1,-1,334478,588872,859029,697435,737601,163450,-1,-1,-1,9029,-1,637480,-1,-1,-1,793817,175093,503724,93975,-1,131871,-1,160787,808717,-1,-1,-1,-1,270183,-1,-1,-1,280050,-1,-1,-1,-1,-1,742416,219121,516699,-1,312649,-1,-1,415083,-1,-1,995276,-1,921818,871806,852166,124214,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,476103,-1,-1,233393,-1,-1,334117,164198,375431,-1,225311,-1,430349,-1,269361,-1,470931,-1,-1,-1,-1,-1,-1,-1,452687,74574,504449,-1,344999,935305,856752,-1,356044,988305,445456,-1,-1,786273,-1,576870,-1,-1,72168,-1,-1,-1,415003,-1,117740,-1,832463,783920,327376,624893,-1,745971,128379,-1,-1,927808,86558,308923,272778,-1,-1,786292,-1,308884,466906,-1,580257,-1,378295,-1,895883,216822,345885,451706,503547,883886,987599,72206,970342,705744,850408,959551,35537,-1,-1,511964,-1,928385,-1,110621,805383,-1,-1,-1,132757,267814,324028,-1,-1,-1,-1,-1,-1,773808,190883,-1,794851,-1,-1,972276,59748,347803,495750,-1,-1,900129,567755,396127,-1,391644,863824,-1,109368,259376,-1,394946,-1,970142,-1,-1,-1,-1,-1,95073,-1,673704,-1,636718,-1,224740,-1,682778,-1,-1,-1,-1,-1,-1,379592,26529,-1,414267,201214,839852,-1,965264,952197,507412,-1,338098,754411,15644,-1,989400,788173,-1,572978,-1,343700,-1,-1,-1,-1,-1,-1,465993,-1,-1,617729,-1,66918,330487,-1,669160,4730,885208,-1,360779,-1,-1,-1,158991,-1,840247,-1,-1,43518,424784,674089,-1,224132,856462,185333,249955,-1,-1,-1,167209,769484,-1,-1,469992,-1,-1,-1,770600,-1,-1,-1,337824,-1,481883,725964,144490,125850,-1,-1,453809,441101,-1,-1,-1,-1,219348,-1,251827,692560,-1,-1,-1,882977,-1,783258,44053,592235,-1,412164,809922,466259,-1,-1,-1,-1,387505,293122,931853,312874,-1,-1,-1,179156,284929,-1,898285,-1,-1,-1,-1,-1,-1,927522,786365,-1,-1,91552,-1,-1,-1,917877,-1,419089,347143,-1,-1,-1,-1,151453,255254,868746,-1,564851,308263,543736,-1,-1,486501,316974,-1,489539,-1,-1,307843,585980,696768,996355,191213,313126,640981,981645,-1,-1,671300,-1,806981,-1,-1,556077,466403,866355,839158,930263,930816,9443,-1,-1,-1,840983,-1,-1,39707,288457,195233,384666,762869,605998,127689,-1,631368,664866,324077,-1,263608,-1,-1,393686,-1,261207,-1,895032,-1,570688,541759,-1,309144,491705,-1,710928,-1,-1,596062,-1,723162,-1,914669,-1,475807,-1,258360,-1,-1,-1,-1,-1,-1,807552,-1,-1,-1,674438,928733,-1,-1,-1,-1,183333,497245,420752,-1,-1,-1,-1,-1,-1,777285,967243,-1,280358,67714,704021,-1,243106,-1,761515,-1,724071,790666,-1,-1,-1,-1,328931,-1,278018,-1,453632,278522,968875,-1,-1,51619,392834,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,408101,540563,371367,-1,-1,-1,-1,-1,829583,-1,-1,-1,-1,296553,981937,-1,939060,-1,970855,472410,561074,-1,-1,256610,417588,428529,170368,198959,450730,-1,224464,-1,-1,249358,995455,-1,808240,784139,571696,373614,-1,559165,-1,907924,977115,-1,760665,664834,-1,-1,477555,-1,-1,21119,-1,96914,222289,363713,801497,548838,-1,973457,680318,-1,-1,-1,-1,11957,-1,501850,-1,-1,-1,-1,134340,310542,-1,-1,818909,-1,495039,980061,-1,-1,-1,379591,-1,881111,-1,566477,100997,-1,-1,-1,-1,-1,-1,479345,273704,-1,445786,206963,-1,-1,871025,-1,958021,-1,654810,-1,-1,-1,175206,-1,-1,-1,-1,379535,-1,-1,-1,-1,-1,-1,355469,789567,-1,-1,-1,-1,211257,-1,694939,594427,-1,904979,926608,-1,407021,-1,-1,-1,21388,-1,-1,796484,-1,-1,66615,280667,814596,581303,-1,185495,-1,572808,-1,876043,792067,648104,-1,-1,880253,693288,391511,-1,469699,-1,998676,447310,210916,317910,-1,919731,111470,321381,33466,-1,746205,498621,-1,409293,303957,184111,768825,-1,270195,97937,114397,382137,70188,-1,370057,-1,435728,-1,-1,240755,54968,-1,-1,-1,-1,-1,-1,204162,-1,937931,-1,-1,-1,558335,-1,-1,-1,-1,-1,267204,-1,-1,-1,-1,99030,584133,-1,762233,-1,-1,-1,-1,803311,96427,963186,811679,58174,-1,611488,-1,949536,-1,-1,-1,-1,701376,-1,999501,-1,-1,722431,-1,-1,974928,150934,297431,-1,474638,-1,154923,-1,627815,-1,-1,818818,-1,590422,96632,358995,604083,736489,780645,49394,-1,-1,-1,42739,-1,514827,-1,112426,-1,394766,-1,-1,-1,-1,-1,811713,-1,-1,307632,981549,-1,504750,750849,-1,-1,-1,-1,-1,640677,-1,128012,-1,-1,-1,-1,-1,-1,768675,-1,517718,36890,-1,-1,-1,310109,218899,308341,976086,577021,-1,-1,-1,708634,-1,-1,-1,-1,944839,-1,691900,-1,979268,-1,-1,159549,350553,-1,-1,745652,-1,-1,-1,210408,-1,213825,490307,540634,625906,-1,-1,-1,450344,24052,523304,241328,902388,-1,-1,244845,-1,681770,375124,91377,-1,643027,-1,413769,-1,596250,540376,30502,-1,142981,522051,867329,860518,985676,-1,-1,-1,576281,-1,812011,505754,275883,-1,-1,-1,844170,-1,-1,294458,661008,-1,536916,-1,-1,-1,576345,-1,-1,-1,-1,-1,-1,609498,-1,-1,597217,742042,504454,815036,88139,274957,-1,-1,246554,-1,-1,-1,-1,-1,-1,919290,256276,-1,589736,555678,-1,879175,-1,-1,303749,-1,-1,-1,-1,-1,-1,70275,837407,957317,-1,747020,-1,496165,-1,365373,809008,-1,214942,184541,-1,437438,207175,663366,650693,903977,-1,452591,-1,-1,355574,135794,-1,540369,475327,-1,-1,30258,309758,341510,-1,-1,854104,-1,-1,625676,-1,-1,886117,-1,-1,454820,166282,295435,859390,638645,329524,-1,109289,-1,-1,692567,986984,-1,264498,-1,82148,-1,690687,-1,945927,22133,-1,-1,270242,-1,975648,-1,541991,378932,624870,-1,-1,-1,7533,223979,374812,439987,888231,-1,500994,-1,600202,-1,-1,518488,101223,960209,-1,378561,-1,310289,-1,-1,-1,532792,540720,51092,-1,-1,-1,-1,-1,-1,733831,490046,-1,-1,139437,-1,153633,224442,-1,-1,-1,-1,458599,223094,335570,-1,868662,-1,156088,-1,-1,-1,945472,120390,-1,-1,-1,-1,-1,367995,-1,-1,-1,-1,677319,-1,510681,759290,19288,-1,-1,848755,886825,-1,-1,866536,670184,-1,189819,959610,191467,433947,-1,-1,-1,579575,-1,233503,467349,170078,-1,388003,471283,682798,786687,437823,-1,507437,695446,800880,169690,-1,-1,-1,-1,463710,778,503037,186155,-1,-1,476318,557823,106610,757399,-1,-1,32570,102616,356144,799859,78386,720215,-1,61569,-1,-1,-1,728642,93789,-1,490561,-1,-1,587046,-1,866697,-1,198493,975280,948775,-1,-1,-1,-1,77028,739176,-1,-1,174194,-1,809862,740589,631408,542355,948237,742372,-1,508831,769717,-1,382633,99060,-1,-1,-1,550199,3578,109090,-1,830993,-1,-1,667384,541860,-1,-1,686060,742275,528278,770237,453931,747946,348472,600622,-1,-1,145344,664899,309752,26344,819489,-1,340885,123625,336036,-1,-1,183645,-1,980909,-1,-1,-1,-1,488766,-1,48934,-1,-1,-1,-1,216266,429795,198045,-1,-1,294969,-1,516785,764221,-1,275060,-1,504220,796240,148535,707517,-1,652870,-1,348063,14523,-1,432824,-1,-1,-1,-1,577590,100451,1047,-1,-1,285319,-1,-1,-1,-1,535181,312871,-1,751233,697579,-1,98945,-1,916576,824564,-1,695677,234643,138356,725343,-1,721474,74710,969520,-1,729378,-1,727901,-1,-1,-1,-1,-1,-1,811399,736818,735140,340224,-1,394280,-1,-1,-1,163968,127498,664765,522741,-1,-1,757974,127187,-1,-1,-1,96661,-1,431459,492719,-1,355732,517011,-1,267524,-1,545734,67942,-1,-1,23841,-1,658525,133909,3158,400908,-1,900023,-1,702631,-1,327493,186100,-1,715598,-1,332777,764666,-1,124127,977008,486089,990923,-1,-1,64869,959124,528929,925063,-1,-1,-1,-1,743288,632744,772836,-1,697726,268037,432849,808362,460284,590933,-1,-1,120714,673964,-1,-1,411243,-1,-1,94906,543253,-1,-1,-1,573166,-1,297770,-1,41553,-1,-1,410758,919154,-1,-1,492149,1101,-1,941049,-1,348959,448830,-1,142013,-1,-1,-1,-1,-1,-1,-1,134972,-1,524917,54481,479667,179740,90670,453038,-1,-1,958478,-1,978316,299526,-1,653421,421922,-1,-1,-1,-1,-1,-1,-1,-1,2556,993316,907921,-1,-1,48979,251844,114849,924128,-1,33247,-1,102605,811543,213336,-1,306989,-1,92332,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,251803,-1,176672,-1,-1,-1,250353,463822,-1,-1,234433,322588,133653,-1,-1,36417,90859,218533,761907,-1,-1,-1,-1,274722,-1,675670,973493,-1,-1,98560,-1,-1,2220,-1,-1,-1,326740,-1,-1,-1,167415,310852,11265,-1,545867,-1,197156,-1,-1,-1,580988,-1,114357,-1,-1,160249,200290,504802,-1,-1,450596,287239,861895,519899,-1,-1,290470,859349,-1,366892,-1,-1,557264,-1,-1,445007,-1,-1,338760,807981,51828,-1,-1,573546,-1,23345,280457,719092,375673,588125,-1,-1,806685,-1,-1,336576,157351,-1,547345,758552,931051,-1,-1,-1,841031,429310,-1,891998,153598,536823,-1,93687,10288,-1,82142,692049,223686,67577,-1,-1,-1,-1,149921,-1,-1,-1,-1,-1,-1,-1,-1,937205,209205,-1,855806,645793,-1,913857,708032,-1,814967,-1,-1,-1,584842,205145,902776,819718,576025,639261,161430,482698,-1,16100,659611,83302,36708,-1,-1,-1,-1,-1,365065,537473,-1,306370,-1,-1,981105,-1,668570,993326,185157,-1,163187,-1,128525,-1,-1,220421,6465,430854,-1,-1,225129,881511,492756,-1,730823,-1,-1,-1,-1,684947,-1,-1,422399,-1,-1,172931,-1,704439,465105,-1,-1,431163,-1,-1,803802,552684,41759,-1,-1,-1,512818,-1,442656,184352,-1,-1,-1,760170,469795,-1,130721,201352,735289,-1,402840,335414,623153,-1,114584,823851,776723,-1,879213,883232,-1,-1,-1,-1,902520,-1,-1,498191,496223,-1,-1,-1,-1,558052,-1,952502,956191,949294,622518,-1,-1,-1,984378,-1,-1,331727,676747,365721,587365,-1,-1,-1,917085,839725,-1,630601,-1,305752,-1,-1,915230,-1,139490,-1,-1,926819,-1,-1,-1,-1,-1,180578,14231,-1,-1,529561,-1,-1,373187,-1,620947,-1,-1,401407,385885,905501,-1,-1,-1,841136,-1,-1,-1,-1,-1,-1,435331,634253,54767,-1,-1,-1,572093,654909,-1,-1,994175,262271,784095,-1,-1,474689,582091,732684,-1,750673,-1,-1,-1,-1,-1,206639,-1,350714,653864,359018,872523,-1,-1,725325,-1,81422,576475,-1,-1,162553,722192,-1,-1,-1,656751,-1,782946,-1,-1,579025,-1,57544,-1,-1,-1,929045,373965,-1,696863,-1,909164,-1,845508,-1,-1,-1,-1,-1,510333,-1,761918,144435,308266,386343,-1,-1,889559,-1,-1,135670,810231,168966,-1,115299,786690,730732,537559,554051,522523,-1,-1,-1,-1,-1,575977,-1,-1,572240,-1,77019,9230,-1,-1,-1,-1,-1,409074,705070,740039,632461,961845,-1,852721,130661,661383,763006,433168,-1,-1,-1,-1,672099,-1,48628,99539,24543,-1,-1,-1,941569,-1,-1,829934,860150,-1,164617,-1,-1,115320,-1,12608,179133,504036,-1,438776,-1,-1,-1,-1,779965,793382,89185,904918,-1,-1,654551,163494,720957,-1,-1,344784,-1,-1,-1,-1,-1,795524,-1,-1,454987,910914,-1,-1,-1,-1,865476,251956,-1,39525,510498,-1,946923,-1,-1,-1,544739,410534,-1,656177,254614,-1,-1,472401,377862,426153,320405,-1,-1,545416,619184,-1,-1,-1,70320,554610,-1,-1,-1,554975,30641,771153,-1,177644,294783,238859,591682,939539,-1,-1,687713,-1,174744,514855,763393,357514,132482,483435,-1,839971,-1,-1,-1,52212,-1,-1,905818,503799,-1,-1,24952,-1,-1,600646,556136,-1,288464,-1,970573,854227,82102,-1,-1,717757,418367,-1,499512,-1,400450,132800,-1,354168,454455,-1,381642,106345,-1,52612,378000,-1,-1,-1,281687,711095,228708,580055,798173,426836,771084,-1,556748,-1,358589,690600,586872,-1,-1,-1,343723,702176,641913,-1,332047,89782,348432,-1,-1,-1,49269,-1,-1,-1,583702,690773,137395,-1,-1,-1,-1,-1,-1,-1,879411,-1,600780,-1,-1,208628,991159,-1,960655,532672,359534,-1,-1,129301,-1,-1,198706,-1,593429,970242,199723,-1,426444,-1,-1,-1,504201,-1,-1,-1,650681,369239,902873,185509,325006,288447,-1,236257,19696,-1,878242,963381,605861,-1,286385,-1,-1,596922,-1,958674,-1,-1,620239,-1,994121,53263,890602,-1,-1,214768,-1,341306,214678,-1,-1,-1,-1,-1,-1,-1,-1,726227,-1,133642,-1,832454,-1,88702,-1,767611,-1,-1,286200,-1,320958,559936,122321,351848,-1,233532,-1,804565,341094,-1,-1,612586,60018,-1,204520,-1,-1,-1,877693,-1,-1,812652,262353,674684,-1,791417,-1,-1,432015,-1,289962,-1,740714,30931,-1,-1,-1,-1,-1,-1,25068,-1,-1,175926,220178,531675,179506,359413,-1,242022,-1,556361,609785,-1,414305,327690,13799,766306,634029,-1,74093,950895,102437,337153,653956,-1,-1,-1,672405,259083,243913,-1,-1,971513,-1,896746,791765,521201,896513,-1,68023,-1,345411,976878,244583,61268,-1,299131,-1,-1,-1,198473,-1,267570,-1,311276,267096,-1,369370,141748,-1,260862,-1,-1,872993,-1,-1,405164,-1,-1,691609,508941,35663,774690,-1,325196,-1,8942,-1,710354,-1,-1,-1,-1,718206,464317,686656,85085,-1,-1,642149,-1,-1,-1,-1,944620,317360,-1,384864,-1,-1,-1,939874,-1,864877,972894,-1,109479,-1,286324,-1,-1,680022,-1,-1,-1,901296,-1,256410,812628,744342,-1,3552,-1,487851,463757,113595,-1,-1,-1,-1,326947,658468,-1,478963,-1,-1,511848,-1,-1,969883,942131,244144,991750,-1,510560,523316,866601,323995,-1,-1,269567,-1,60743,-1,238450,-1,-1,450178,-1,-1,-1,843190,226495,487327,490118,331936,-1,-1,324044,-1,-1,-1,220126,828631,932431,-1,-1,795045,-1,-1,340360,-1,-1,237093,-1,-1,622095,547638,449180,-1,993253,-1,933496,382408,93857,-1,523700,-1,773055,783018,927392,148863,-1,782503,-1,637613,-1,762064,-1,565733,-1,-1,229278,983124,-1,523624,205422,-1,968926,-1,-1,-1,939645,576495,-1,859970,335429,898867,-1,-1,-1,748132,400889,-1,611146,-1,194035,638637,-1,-1,-1,234508,-1,31359,-1,735164,-1,951511,752903,-1,-1,-1,897511,203650,338179,-1,642947,-1,-1,467752,666929,-1,601428,-1,611108,-1,-1,269907,865001,49063,707080,-1,250111,-1,-1,-1,780099,577913,940335,-1,-1,227628,799013,514857,-1,-1,900429,-1,852631,598065,385945,564522,622587,603795,-1,51646,427483,-1,-1,682097,-1,555042,-1,322709,573018,694707,270292,-1,-1,-1,-1,-1,481539,-1,910818,657214,-1,-1,-1,-1,-1,-1,636805,357482,-1,-1,270385,761420,434200,-1,984797,317906,-1,596868,804095,750432,-1,420701,3467,-1,-1,-1,630728,808308,-1,-1,905548,-1,744960,785286,-1,775993,93203,-1,515222,204568,468139,-1,-1,-1,107320,-1,-1,-1,-1,-1,-1,623895,-1,-1,-1,-1,-1,-1,186654,-1,-1,800829,4941,264669,629254,786022,123566,477623,-1,392335,-1,214918,259818,-1,345427,600294,337298,-1,-1,-1,-1,529405,-1,-1,20248,-1,405028,414203,881435,-1,117887,-1,-1,375060,-1,-1,14383,232500,-1,-1,-1,-1,337974,-1,950153,-1,251819,820197,-1,141479,194941,-1,-1,-1,432937,-1,-1,-1,-1,-1,575900,271019,776796,145787,-1,-1,-1,-1,-1,-1,-1,-1,833741,-1,-1,385045,-1,-1,-1,617385,175909,834987,-1,-1,-1,923699,-1,-1,908877,-1,677075,-1,197264,314486,-1,57837,995744,363231,550243,714876,947358,-1,-1,170312,-1,453813,675989,105083,-1,-1,-1,443747,-1,-1,139187,-1,-1,-1,771621,376579,-1,-1,-1,962761,495918,898575,572959,805070,13326,-1,975460,-1,-1,-1,-1,-1,-1,851684,824566,-1,-1,242116,-1,106899,414077,-1,609453,408626,-1,327877,-1,-1,-1,766340,647861,602589,81828,626479,965321,-1,908496,-1,726495,-1,-1,-1,498847,-1,-1,-1,-1,-1,232111,-1,360931,-1,769483,-1,403878,-1,846382,-1,804908,-1,127322,-1,-1,93580,633682,-1,-1,-1,6626,-1,-1,781311,-1,-1,839074,-1,-1,-1,287668,276921,883569,669280,414621,446700,701919,-1,-1,-1,-1,-1,-1,504545,-1,-1,949642,247520,556150,932019,-1,228766,30274,244041,-1,-1,-1,736733,-1,-1,-1,-1,-1,115899,15256,931792,322057,-1,-1,942141,-1,-1,753841,976045,106489,697602,899753,404855,347939,-1,-1,891783,-1,-1,-1,-1,555988,366986,402555,-1,-1,-1,562381,-1,492956,774104,495309,883619,112338,-1,590133,-1,112348,869703,-1,-1,478589,651512,-1,-1,890677,985101,351385,-1,-1,-1,-1,498668,-1,-1,-1,241082,196391,55210,572264,807367,504962,-1,183940,-1,950756,269116,-1,-1,107332,-1,-1,932620,437769,-1,-1,-1,611639,810403,17621,561228,192323,-1,486959,-1,732291,-1,-1,400517,-1,-1,-1,-1,-1,829443,-1,901424,-1,536243,864853,-1,-1,-1,-1,-1,828111,561926,-1,-1,948110,209632,-1,-1,126998,381087,827759,-1,141735,-1,-1,397870,925429,349602,-1,854975,-1,256810,230553,356393,915680,339902,443642,-1,-1,-1,308134,760857,-1,-1,2547,41828,-1,-1,146676,639038,800454,-1,-1,803935,-1,-1,-1,-1,434700,-1,-1,428780,-1,-1,-1,-1,790003,-1,909647,140,-1,586713,-1,557307,-1,352748,-1,436592,-1,284068,-1,-1,465487,-1,-1,-1,648522,873929,-1,948299,437347,-1,-1,10927,915886,16399,-1,519428,494589,980266,526154,-1,389029,570833,-1,144352,-1,220606,850069,70636,864036,304292,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,308924,-1,-1,-1,-1,-1,221261,921118,-1,190011,-1,384307,219740,59438,951066,-1,262693,-1,-1,512408,446584,-1,-1,-1,-1,307248,-1,814561,249544,-1,166961,-1,589419,447797,73397,-1,-1,-1,-1,371369,52417,-1,-1,232598,-1,-1,-1,-1,-1,549394,-1,783535,-1,-1,42852,178033,-1,616030,-1,860461,-1,-1,-1,589956,-1,-1,986048,-1,-1,594362,661197,10967,141334,-1,235076,463084,-1,-1,-1,-1,-1,833681,-1,-1,704804,214600,100182,-1,-1,-1,-1,-1,877641,644605,361374,940739,346833,765680,562064,-1,-1,-1,-1,993050,-1,760943,-1,361045,668980,846433,-1,956389,-1,-1,-1,509917,982437,152041,507469,407275,617218,170263,476162,-1,2582,177492,317255,-1,-1,799442,927017,331313,926838,-1,523748,587731,198395,737210,298196,-1,863415,16392,715222,-1,149899,-1,17716,902575,535703,-1,-1,-1,534868,564054,910504,-1,443458,676536,-1,507166,-1,241103,-1,863292,331867,-1,-1,-1,648921,81663,865432,628944,449372,539477,-1,-1,-1,-1,-1,130747,845254,77899,-1,698128,403831,-1,-1,602472,-1,601777,-1,-1,-1,610510,99300,-1,910527,126814,6135,49775,307894,-1,-1,-1,674748,-1,-1,-1,-1,-1,-1,605107,957207,293631,245894,102914,745367,-1,73186,297566,-1,-1,245042,835569,-1,52792,-1,472187,-1,-1,-1,505374,231144,589849,-1,-1,685751,-1,-1,422898,300178,52191,749471,252869,-1,62771,-1,833375,998252,389446,960521,341442,-1,813847,427412,-1,-1,-1,557488,285047,93547,938646,127705,-1,-1,976829,610432,-1,-1,335707,-1,751194,463052,-1,262177,-1,339693,-1,-1,481289,-1,104944,-1,-1,-1,-1,-1,-1,-1,-1,31846,-1,445750,-1,557242,-1,738748,581491,394152,-1,-1,-1,897424,-1,489149,-1,-1,-1,751147,-1,-1,-1,875464,-1,-1,-1,-1,533125,-1,117095,68665,559478,459534,264994,-1,793454,616336,-1,968696,848916,-1,493487,-1,388678,-1,-1,-1,383261,766302,-1,-1,-1,318863,-1,686888,855698,776002,711832,-1,184806,367309,-1,699845,-1,383863,-1,245830,887400,318745,388731,71317,-1,352171,-1,-1,469070,-1,253248,-1,-1,-1,-1,369662,293914,704981,565920,-1,323628,155289,-1,767026,972568,-1,-1,-1,997866,768233,557826,985408,112958,-1,760189,-1,-1,689514,-1,-1,82271,480085,-1,848595,-1,-1,-1,201405,924762,-1,-1,-1,524775,-1,-1,-1,-1,-1,186551,569378,856481,-1,-1,-1,15538,-1,843915,3480,355087,-1,72837,321264,577848,880934,-1,343931,876599,-1,-1,-1,480181,884345,-1,721162,-1,-1,-1,854407,-1,857784,110913,-1,254284,-1,-1,922928,-1,-1,-1,446887,-1,176412,-1,-1,-1,-1,-1,-1,621443,-1,-1,-1,-1,-1,928109,-1,-1,-1,-1,-1,-1,-1,818406,224265,-1,687746,974493,-1,-1,-1,880245,-1,-1,-1,172879,319510,391669,812263,-1,-1,673883,-1,-1,-1,-1,921329,-1,377971,373457,962891,-1,212135,612836,-1,735894,802462,-1,-1,671189,-1,-1,-1,-1,233436,487739,742786,-1,718556,-1,498753,166668,260211,-1,-1,63102,782079,853364,36517,-1,-1,55339,584573,-1,-1,860207,-1,-1,730595,-1,473544,-1,681411,-1,355242,455375,-1,836855,874934,-1,533254,526429,-1,-1,-1,121903,-1,-1,123725,799947,-1,337711,-1,-1,730779,-1,55719,-1,507313,-1,-1,818694,-1,-1,899813,670186,341663,-1,-1,894616,803374,-1,-1,527747,-1,-1,-1,-1,-1,826129,851233,427594,509105,-1,923366,967936,78330,310771,-1,446660,369884,7525,-1,-1,-1,-1,589113,154802,919144,60355,-1,616811,888673,865341,-1,-1,-1,727986,-1,-1,-1,80915,673579,-1,201006,261833,-1,-1,822506,536746,655552,275808,-1,800397,55272,255882,830810,739121,-1,-1,-1,111503,-1,-1,180763,814104,-1,68363,954318,-1,357682,565541,813494,-1,598188,224497,-1,73561,-1,-1,805300,-1,508977,-1,-1,173383,-1,-1,101285,603212,-1,-1,574910,-1,551034,122077,-1,46505,935222,34532,203370,983266,-1,-1,-1,-1,565933,572366,-1,-1,806105,-1,-1,63264,-1,632866,-1,-1,-1,-1,468879,-1,675821,-1,-1,129152,-1,-1,79853,-1,-1,-1,144160,-1,-1,249522,-1,-1,696851,-1,51793,-1,-1,362227,-1,-1,-1,-1,489591,-1,443909,-1,547704,-1,-1,748230,-1,68117,-1,-1,-1,588873,344649,902207,-1,428417,78959,207015,319782,772022,-1,297158,-1,-1,-1,-1,-1,489999,-1,561577,-1,-1,-1,495174,686211,-1,113575,-1,-1,-1,39052,716052,-1,991891,-1,184473,90779,965493,-1,573554,-1,-1,-1,-1,161244,752516,612563,-1,973903,701844,609531,402064,896538,242892,-1,-1,23245,672157,730104,418575,-1,188999,-1,-1,-1,942319,291980,393897,-1,-1,-1,-1,847225,643162,-1,-1,612385,809934,-1,-1,444515,-1,591272,-1,-1,120976,266632,-1,-1,-1,721507,407082,141306,-1,-1,-1,924957,95261,-1,420170,797408,-1,563260,497498,-1,25689,568469,412095,-1,500263,359938,-1,727099,-1,148416,75498,841932,381958,-1,-1,231034,790380,-1,589319,-1,423608,-1,-1,928452,6052,720233,693752,898943,981559,-1,-1,996703,-1,-1,552370,-1,-1,686404,-1,-1,778706,898772,992595,-1,-1,492698,-1,-1,-1,-1,-1,129444,-1,870024,748334,-1,706994,350796,690811,55838,428592,575950,-1,-1,-1,447180,261013,114093,-1,20550,832827,135639,-1,396409,-1,-1,698141,-1,939835,-1,-1,901364,-1,951498,-1,202225,789857,962055,-1,-1,-1,30993,476675,-1,711626,-1,54471,745602,-1,602727,731761,-1,-1,-1,-1,-1,-1,-1,800288,56143,-1,978405,275045,759770,782072,230422,-1,100372,-1,-1,-1,-1,-1,-1,33734,627842,839208,-1,465353,446911,505018,789443,553155,796483,-1,464092,314188,-1,238936,80100,-1,-1,922163,-1,406699,550615,423192,-1,856853,-1,-1,-1,-1,-1,-1,-1,39922,-1,-1,285820,-1,-1,-1,112494,563366,-1,-1,139416,-1,567497,-1,-1,971726,-1,-1,-1,-1,96166,166622,389357,818432,275530,355517,-1,-1,939058,-1,-1,395686,-1,-1,629917,-1,-1,119895,-1,876369,-1,-1,348449,211707,-1,-1,-1,325602,667642,-1,-1,-1,411616,554257,586471,759345,-1,-1,238471,-1,-1,-1,-1,-1,-1,49871,-1,-1,858415,192182,152962,246679,465152,-1,556697,899634,318481,-1,-1,710005,121343,-1,282799,-1,-1,-1,-1,-1,-1,378179,-1,643151,806812,-1,850824,178431,-1,68054,975172,-1,-1,607830,-1,621317,605049,-1,-1,678404,670910,-1,-1,-1,-1,-1,649004,789334,549902,-1,-1,-1,968682,993691,781994,103417,-1,584237,-1,-1,-1,188482,-1,-1,-1,405635,119117,-1,439463,-1,574028,685484,125765,249780,-1,427331,77011,653958,-1,213900,-1,437508,758694,-1,-1,-1,298674,424238,887319,-1,282107,-1,186179,-1,-1,-1,-1,922690,955447,-1,-1,877086,-1,-1,701297,356020,917354,-1,-1,365375,-1,280011,-1,-1,735542,-1,847378,-1,-1,-1,593834,-1,600355,848153,248975,-1,-1,826692,560479,-1,310043,-1,803263,864041,133952,-1,40251,-1,653352,190222,-1,-1,-1,-1,529030,-1,-1,181152,74006,-1,-1,552783,-1,348312,-1,872240,-1,-1,418022,529216,623411,-1,532264,-1,-1,971924,-1,650033,607942,-1,817659,670882,395062,1994,-1,865332,-1,-1,588839,-1,-1,530032,575106,-1,-1,-1,44708,-1,-1,816943,349570,992660,306806,-1,-1,687141,539723,-1,-1,-1,-1,263410,941978,-1,-1,-1,-1,-1,520600,-1,-1,-1,-1,358088,-1,972975,-1,-1,464502,213477,908006,-1,817443,-1,330920,-1,-1,753901,758572,693232,-1,884494,860292,716120,-1,-1,610343,480645,250255,687480,-1,-1,242590,701337,-1,970930,-1,-1,-1,259289,-1,-1,-1,418659,-1,777094,-1,-1,-1,605441,114404,583644,-1,-1,205013,-1,756505,-1,380799,286410,-1,-1,168800,398476,-1,115244,425145,-1,816864,-1,192275,-1,497066,-1,233869,-1,782598,-1,709661,-1,520236,-1,-1,767669,793582,-1,476958,-1,-1,617768,845395,511503,-1,35654,-1,-1,309783,-1,-1,875274,625823,-1,359555,-1,-1,11852,199503,320928,-1,490519,976969,-1,478406,581868,-1,-1,541929,669471,934164,-1,34387,735679,-1,506499,286541,-1,-1,176185,-1,-1,-1,-1,-1,-1,-1,-1,-1,106550,-1,-1,-1,-1,939698,885693,895552,42464,295303,167549,-1,784092,-1,-1,222045,-1,915637,-1,244087,-1,403897,-1,901387,34856,-1,-1,31800,762299,793598,-1,-1,-1,-1,-1,365526,161557,-1,452831,826537,634685,123412,391555,423086,203014,-1,-1,-1,-1,-1,159731,-1,234144,-1,191079,502744,73402,406342,681953,604337,84751,-1,-1,-1,239789,-1,-1,-1,923131,61954,622107,259801,739255,-1,-1,109704,-1,208599,50484,132195,642681,967709,223610,-1,-1,538881,-1,409093,-1,-1,370003,-1,626090,678450,-1,343048,245190,-1,928601,651410,-1,973722,556357,42834,-1,277060,-1,-1,834447,810016,772107,-1,212932,55504,-1,646694,-1,-1,289774,-1,-1,888577,-1,-1,-1,950641,-1,-1,-1,-1,805367,-1,-1,595957,939570,-1,-1,-1,183280,-1,-1,-1,671455,226704,-1,-1,-1,10891,-1,-1,-1,976491,512642,-1,862554,27286,-1,40096,-1,-1,-1,-1,972126,762768,-1,115838,567277,-1,393876,182143,52135,700503,133148,587823,-1,-1,-1,983691,-1,717762,-1,-1,-1,344071,-1,-1,-1,-1,616099,880932,-1,28119,13490,161891,964800,-1,-1,611835,631542,968110,239036,-1,351690,-1,411705,266452,-1,-1,61740,430011,-1,-1,241340,-1,347678,-1,453718,-1,443670,875468,-1,-1,692089,465390,-1,-1,-1,-1,-1,-1,56774,990272,516591,31102,-1,384181,654216,-1,-1,984650,410116,-1,891860,762600,121261,-1,144454,190247,-1,-1,339082,178666,-1,-1,-1,-1,619130,-1,669728,-1,-1,728016,390690,647522,-1,866343,-1,577406,-1,-1,937330,672557,643838,27416,526808,843982,-1,-1,791799,212129,-1,-1,52012,-1,-1,-1,-1,16090,-1,-1,578052,991976,380189,-1,-1,595587,-1,965405,423245,-1,-1,463406,-1,229687,-1,92289,-1,745175,-1,784920,-1,-1,635347,970725,897021,-1,-1,179855,-1,-1,-1,511422,-1,925745,773538,329747,588686,-1,853670,-1,493903,-1,-1,-1,652663,-1,-1,-1,191581,-1,-1,-1,-1,-1,111674,-1,31235,182431,-1,-1,-1,-1,791360,-1,-1,309395,-1,41556,953985,-1,563047,115392,-1,160835,-1,949672,376801,109009,441002,-1,997493,-1,-1,-1,532645,-1,-1,239645,951380,-1,-1,567820,-1,111500,603498,-1,624110,482713,-1,380462,-1,-1,472745,860382,-1,619967,-1,-1,-1,509393,425758,77587,-1,-1,180190,-1,-1,-1,365276,159228,-1,-1,-1,-1,-1,-1,-1,-1,-1,703125,-1,697823,-1,-1,-1,-1,544080,426637,-1,-1,955998,-1,-1,138004,18975,-1,-1,-1,-1,801625,305629,-1,-1,-1,-1,935995,-1,422110,-1,142866,-1,965018,953632,-1,452816,-1,633667,-1,99421,566505,728595,246510,-1,690281,243168,-1,-1,-1,214595,950786,22380,744771,613919,528960,-1,-1,-1,931746,-1,28194,-1,536675,993557,270519,-1,248474,-1,175606,-1,626559,-1,-1,-1,-1,-1,-1,-1,86384,-1,917385,899558,149972,-1,-1,357539,915513,-1,-1,-1,-1,51912,-1,-1,-1,958794,-1,-1,-1,-1,593958,916836,-1,-1,-1,481414,-1,-1,-1,-1,-1,-1,-1,180011,-1,-1,274864,423956,-1,851469,816978,-1,592742,-1,-1,-1,-1,334780,266425,-1,62807,181658,-1,-1,-1,-1,-1,727657,255292,302532,-1,-1,44121,-1,311716,-1,940401,35567,-1,-1,437378,779161,-1,235329,-1,67090,81009,194729,581194,-1,-1,-1,933855,-1,-1,-1,402616,771983,-1,10301,-1,-1,-1,-1,104917,-1,496110,-1,503414,427859,-1,371054,-1,899172,-1,668672,42768,509058,991476,68209,-1,-1,912679,-1,-1,800458,429046,860088,791874,666638,-1,524817,-1,929242,648625,-1,-1,600928,472910,-1,998012,-1,358482,71595,-1,-1,744106,-1,964741,-1,-1,-1,-1,755844,815322,-1,-1,-1,899764,36672,-1,343704,963375,-1,694484,626416,692549,-1,-1,-1,-1,-1,-1,700631,291698,358933,968212,26904,316754,224391,311301,-1,651489,-1,-1,943869,-1,571183,-1,413297,694927,-1,-1,-1,42740,882319,-1,-1,-1,206535,-1,-1,83270,902604,-1,-1,-1,2011,119273,-1,137145,383908,586871,260290,-1,873722,-1,-1,-1,231447,926944,-1,920968,358615,-1,-1,-1,456366,967556,29289,773305,808709,639328,-1,515402,-1,-1,103869,-1,198648,545385,-1,-1,270504,454752,19604,-1,643624,-1,28474,99863,42932,-1,-1,528781,-1,404905,875692,596073,-1,438418,818904,-1,-1,738556,-1,619036,184296,623769,626893,803395,110704,-1,-1,482808,-1,-1,-1,711266,59024,856790,-1,582247,-1,-1,151412,520601,-1,-1,-1,-1,396583,269374,992117,-1,-1,728410,415118,48988,-1,-1,-1,959773,68841,406416,691410,33897,584613,-1,-1,-1,353329,156732,514653,119391,-1,-1,-1,529034,-1,574822,-1,629553,24008,590429,461859,-1,-1,-1,-1,-1,-1,103142,774712,497573,-1,685757,-1,-1,127870,-1,430250,189270,-1,-1,-1,-1,-1,917606,265790,-1,-1,-1,289413,-1,-1,-1,-1,236438,230734,-1,554422,-1,-1,-1,-1,789423,204978,-1,-1,59714,-1,-1,208261,-1,-1,861978,-1,-1,-1,668637,-1,-1,-1,-1,-1,-1,87741,-1,982261,533806,-1,619,298966,-1,270623,860601,-1,468335,-1,373782,20538,916809,-1,-1,251891,-1,164088,958509,-1,939006,990058,-1,-1,336962,451730,-1,696172,583541,-1,452672,681669,427825,-1,438730,-1,-1,351556,-1,545265,-1,-1,-1,812291,-1,-1,255550,315206,45028,105523,296757,-1,-1,-1,486811,54411,-1,-1,-1,553781,-1,641330,413803,-1,725174,62124,-1,-1,-1,504862,600913,851590,-1,868611,323231,398063,-1,-1,-1,-1,-1,-1,573024,238794,-1,474153,409690,906711,-1,-1,-1,2040,-1,673817,346542,-1,786787,-1,895609,983757,-1,701209,15573,-1,-1,-1,-1,-1,-1,-1,-1,719255,-1,-1,514176,92647,561026,-1,-1,-1,539373,-1,812476,-1,305910,-1,757872,-1,-1,322866,-1,-1,-1,305093,-1,443837,743826,800051,-1,-1,151639,-1,317404,-1,-1,933878,-1,305107,-1,524798,626905,560381,-1,528995,-1,-1,-1,-1,-1,-1,682279,-1,579889,-1,-1,267066,-1,-1,-1,-1,292121,-1,-1,675234,846329,207267,838589,-1,-1,504124,716350,872615,673585,602948,93922,241274,423545,112069,-1,-1,608014,-1,-1,-1,544603,303040,195672,-1,278436,-1,-1,346819,522845,-1,655203,385863,842690,138659,-1,-1,-1,92578,92541,89426,-1,-1,-1,273952,431266,-1,-1,-1,-1,669180,-1,479290,137214,46478,811747,327874,301412,-1,-1,-1,481402,-1,-1,85663,203482,859920,-1,684975,563330,-1,-1,-1,-1,992278,523906,-1,975339,996288,-1,-1,-1,-1,583820,-1,338023,173546,507918,545186,-1,-1,-1,-1,695635,-1,-1,-1,-1,-1,401935,-1,138644,10192,-1,925198,903013,151205,957021,881471,197496,153448,-1,-1,703323,-1,-1,-1,785966,-1,-1,-1,-1,-1,835524,-1,38744,557041,331752,917232,77891,229777,488158,4591,-1,-1,-1,-1,648613,79824,864708,592311,45205,-1,985852,-1,209732,-1,-1,739138,-1,774511,-1,627544,699962,-1,821528,-1,988703,824693,837190,-1,-1,-1,-1,925844,816638,951714,527290,549051,-1,-1,-1,-1,790226,-1,-1,324089,662553,993038,475035,-1,63211,627516,41931,-1,518849,-1,-1,623393,799663,435971,627510,95857,-1,768489,-1,798815,12243,-1,61824,-1,-1,-1,-1,-1,81347,121586,602044,690128,-1,-1,-1,612550,-1,-1,-1,-1,3008,370026,688566,912204,306745,954773,-1,-1,-1,620617,-1,-1,273681,746343,959047,-1,-1,-1,456593,-1,-1,-1,814905,-1,-1,955147,-1,418412,-1,-1,185396,627383,-1,929893,384023,799022,-1,968186,-1,813392,511227,251054,-1,666449,89977,359439,-1,620976,776239,917573,-1,649138,542326,-1,-1,274589,-1,-1,247744,-1,-1,418976,-1,-1,830801,-1,-1,-1,-1,216077,646789,-1,-1,843539,-1,-1,-1,335891,-1,-1,615356,-1,-1,-1,-1,679688,-1,-1,603179,977145,-1,-1,-1,710821,-1,-1,293347,-1,-1,-1,-1,-1,-1,676029,708596,-1,76139,200775,-1,29169,780388,-1,929788,190890,-1,-1,970408,-1,-1,-1,-1,440529,329203,187919,-1,78843,236834,-1,-1,-1,-1,-1,934254,-1,-1,-1,762607,-1,-1,-1,833840,724594,-1,601603,177892,536866,-1,893731,708165,-1,-1,-1,423072,-1,659364,-1,951384,-1,-1,169169,526084,-1,584238,-1,799695,-1,-1,-1,-1,-1,-1,-1,-1,747377,-1,20214,183103,-1,247507,800758,-1,-1,-1,685108,-1,569296,-1,972377,513209,-1,-1,793326,-1,789873,-1,-1,979958,225377,891039,-1,320399,-1,-1,79271,310968,369270,-1,866465,304392,-1,600663,-1,629582,827912,331203,-1,429144,-1,926815,1902,-1,-1,-1,991528,179778,693956,-1,588065,377899,249484,-1,-1,519312,-1,-1,-1,-1,236502,511486,293833,454072,-1,-1,304079,100922,-1,910365,309687,591144,840475,207300,32234,615246,976139,660414,-1,135354,-1,676713,-1,-1,-1,-1,-1,-1,659461,-1,506008,917233,695026,303011,-1,-1,-1,317108,-1,573154,245844,-1,817341,-1,302988,962683,-1,602193,95324,566475,794008,-1,192655,295621,299387,-1,11890,-1,-1,60605,964815,846029,-1,-1,-1,-1,800324,109147,192283,154190,-1,-1,420138,726012,179059,984777,-1,933163,992818,596595,916195,713998,-1,-1,881071,-1,876689,823911,-1,619385,-1,-1,657808,936276,-1,-1,531552,-1,965436,787218,-1,736576,-1,617774,-1,-1,-1,218805,-1,-1,496757,772271,735514,-1,-1,-1,-1,407779,794350,278254,-1,497542,534427,-1,676309,-1,-1,821711,430141,-1,111377,-1,-1,-1,-1,87714,-1,320357,438799,-1,-1,-1,-1,439040,400778,698244,-1,-1,250172,-1,-1,88857,-1,-1,-1,192905,-1,-1,-1,-1,-1,-1,-1,441572,-1,-1,945252,-1,-1,-1,685382,-1,407690,-1,-1,-1,-1,-1,311578,132414,-1,-1,994770,-1,-1,867124,605995,-1,-1,-1,574313,-1,362222,670973,-1,444580,-1,-1,256627,177414,958934,-1,28931,-1,201136,-1,455034,-1,-1,681998,-1,-1,840642,-1,443952,246077,-1,-1,863115,-1,-1,938818,-1,-1,-1,569086,746856,683065,-1,954406,-1,-1,-1,207593,864520,454734,983052,-1,-1,-1,71,-1,-1,-1,-1,692934,894432,517991,218486,833365,-1,330596,-1,366579,-1,-1,-1,832415,-1,837188,-1,454947,-1,324388,-1,237726,-1,-1,510086,243771,-1,698570,405680,-1,-1,-1,-1,4925,437371,482059,567579,-1,-1,-1,430958,110606,726110,-1,350585,-1,143509,252295,842501,-1,741705,502515,688372,-1,765325,-1,939998,168472,827685,-1,856136,40972,-1,-1,311596,403879,481418,-1,-1,310746,825852,76549,828025,809772,-1,14637,265936,-1,-1,922344,930798,-1,297712,-1,-1,-1,787411,279395,-1,547149,-1,-1,-1,903357,-1,-1,539837,-1,329858,432730,954594,-1,248039,-1,-1,-1,-1,693282,-1,-1,273910,632768,-1,-1,-1,862327,-1,181811,56251,966317,281817,78695,158529,460763,-1,-1,-1,786661,-1,-1,740839,72379,-1,-1,964057,-1,319493,423777,-1,276717,-1,-1,-1,277983,536081,986414,769641,457860,126855,895947,-1,-1,912726,-1,322718,895057,-1,-1,455283,905022,812084,-1,525049,231124,-1,562028,-1,-1,306161,872362,-1,-1,946365,-1,119744,73849,26432,-1,248259,-1,135919,980202,399866,691616,21761,-1,-1,-1,392211,-1,30736,697731,-1,-1,601553,-1,-1,-1,-1,174670,955300,-1,-1,-1,317158,787331,-1,764210,666477,-1,-1,568114,-1,226088,-1,889329,723546,143257,-1,-1,650187,-1,-1,393445,-1,611290,697900,337657,-1,990238,823458,810440,988188,842595,-1,-1,-1,27024,852152,-1,-1,-1,-1,107133,788583,857676,-1,-1,439236,354182,926285,351587,610941,-1,-1,177426,-1,218309,-1,-1,516941,-1,-1,819135,-1,-1,-1,624215,910820,-1,886526,-1,509508,238853,-1,145817,634910,-1,824631,-1,255229,698038,-1,-1,-1,940975,179078,-1,49329,-1,-1,-1,-1,-1,-1,-1,-1,-1,804983,-1,42978,417594,-1,-1,-1,-1,32160,315523,-1,-1,-1,702010,484775,-1,736641,-1,-1,602490,629522,372075,327191,46827,-1,-1,425268,921073,-1,-1,709800,856226,723843,910369,-1,-1,308783,-1,-1,-1,919806,-1,-1,-1,-1,-1,-1,438785,-1,-1,-1,-1,559429,-1,-1,559122,-1,308804,-1,-1,-1,934137,18332,80884,694933,356216,485501,917304,-1,119537,555939,-1,907360,330654,-1,384389,-1,412670,878785,906034,-1,-1,-1,628443,-1,640641,-1,972730,456710,269063,184519,-1,828580,36924,-1,-1,281539,-1,701751,604760,-1,436970,-1,401431,-1,-1,-1,206638,-1,588814,887753,404223,-1,929441,497600,286602,698240,-1,-1,-1,362212,618052,-1,-1,862751,92455,-1,-1,596442,926249,230921,-1,-1,939481,-1,9076,429503,-1,-1,165673,-1,478432,224873,936306,560937,-1,-1,757002,447708,48097,-1,-1,868907,-1,191922,175460,-1,-1,-1,-1,-1,476026,-1,-1,-1,-1,892035,-1,844085,535046,-1,446250,-1,-1,412564,-1,166489,198740,-1,-1,345791,-1,482685,-1,-1,-1,-1,548168,636468,-1,-1,444924,-1,-1,-1,849328,14998,-1,-1,849979,524434,505465,89527,281704,123299,670148,640140,-1,-1,617222,175746,627560,-1,-1,-1,-1,-1,-1,394221,792437,395360,25072,-1,-1,646606,-1,-1,650278,-1,915523,408029,559652,221581,282879,833877,980719,653383,971285,670952,-1,-1,428754,73722,-1,-1,635079,685758,397118,722193,586640,-1,991628,-1,458821,338200,-1,896135,-1,994937,367684,947689,-1,464699,715660,915419,-1,217795,-1,-1,571241,-1,-1,674889,-1,649513,-1,185353,-1,-1,-1,912389,574456,-1,-1,-1,903285,564518,-1,791031,121889,56879,59743,-1,107885,-1,160148,314123,-1,407478,820211,-1,337926,569263,541839,927074,-1,-1,362389,657852,308093,510156,-1,101600,-1,872462,-1,542563,-1,676312,-1,724852,-1,258004,19997,455585,371993,-1,-1,-1,373884,162216,-1,-1,-1,-1,211454,-1,-1,588084,761774,767932,394879,-1,215814,-1,-1,-1,-1,-1,-1,623169,210182,833631,-1,-1,242245,194590,-1,-1,-1,15120,135172,138643,-1,-1,50929,-1,-1,-1,890453,-1,-1,636746,-1,929328,211395,-1,919044,576774,125022,-1,646413,-1,905943,-1,-1,-1,-1,481063,-1,500373,-1,-1,35109,-1,127439,-1,601784,704540,-1,-1,185615,-1,-1,-1,665468,716806,-1,284290,-1,44768,-1,-1,666888,-1,-1,-1,156406,-1,-1,-1,-1,994308,-1,827643,636386,298565,201045,-1,348330,-1,-1,139068,-1,462977,-1,55791,-1,500496,-1,-1,-1,-1,-1,32259,351452,-1,469201,797696,-1,789279,-1,296744,-1,-1,-1,902421,-1,66301,-1,267368,360471,-1,474189,-1,867988,11034,-1,427419,-1,-1,267432,-1,562107,259715,114969,295504,336415,-1,860258,-1,-1,333632,-1,811213,84834,-1,265501,-1,-1,226112,608932,-1,-1,139689,-1,966380,-1,998545,-1,-1,177360,571079,-1,-1,-1,-1,458460,-1,-1,172835,984254,188150,901105,187350,88687,442022,-1,-1,875076,-1,-1,157991,-1,-1,-1,336892,-1,-1,-1,-1,307831,192665,725825,-1,-1,-1,-1,771315,435605,129483,-1,-1,-1,-1,62072,591005,-1,-1,154541,-1,396935,-1,58461,950128,-1,-1,889737,-1,-1,-1,526480,-1,8104,-1,-1,-1,-1,-1,-1,-1,74219,-1,775810,-1,-1,-1,70028,-1,-1,367084,130206,518706,-1,286129,-1,158674,-1,-1,-1,-1,-1,-1,241616,-1,640054,-1,-1,-1,630042,-1,813403,-1,195541,-1,-1,238793,640162,-1,706165,-1,504633,903804,-1,-1,-1,470847,-1,723578,1742,18690,980966,79908,-1,862348,111874,-1,-1,569438,-1,-1,-1,511817,-1,-1,738898,259106,527011,742081,105594,-1,-1,-1,964236,670054,-1,441577,363721,-1,187855,-1,-1,-1,-1,950353,44333,752026,-1,305193,769713,517276,399802,600364,244693,-1,-1,-1,-1,340660,99913,-1,-1,102574,-1,268538,802072,-1,-1,-1,-1,-1,-1,758273,602591,28387,136344,678478,-1,856217,-1,870786,-1,-1,162140,61847,-1,-1,-1,1989,423840,-1,849559,729138,-1,-1,-1,905765,917103,-1,127164,-1,946642,-1,28494,-1,-1,623823,218875,841709,-1,-1,-1,-1,902860,783951,976646,400388,142244,-1,-1,-1,-1,-1,42331,798537,-1,-1,650684,-1,-1,363981,141965,804032,-1,201913,-1,-1,999021,156294,518469,580895,-1,-1,501110,-1,-1,413473,-1,-1,-1,991189,521615,-1,701623,622044,830149,490921,418748,-1,955827,63298,-1,676066,-1,-1,-1,423197,-1,-1,-1,100885,-1,-1,-1,154527,546335,-1,-1,903672,-1,-1,-1,613986,907811,528839,-1,887537,769165,-1,569865,-1,-1,839415,841251,-1,-1,-1,-1,-1,909240,-1,-1,-1,46843,461012,-1,-1,147720,448448,-1,-1,724758,-1,130989,-1,-1,670380,-1,-1,420777,145148,-1,-1,-1,500702,-1,340903,639615,957399,267004,-1,677793,924911,383721,575534,-1,93609,-1,967295,-1,276760,592607,-1,967658,336690,66107,557691,-1,-1,48343,816702,847900,654040,286879,-1,-1,-1,-1,-1,524894,214026,-1,-1,217612,-1,-1,-1,913879,-1,776834,-1,729195,227091,866310,-1,567419,-1,-1,595985,-1,256780,812835,-1,518282,-1,948843,441709,448954,69586,-1,-1,-1,-1,-1,-1,-1,890137,574140,881898,571626,-1,884216,761302,480548,-1,372700,-1,736693,-1,282128,106504,327436,999840,310697,-1,-1,-1,-1,-1,115986,601761,993778,-1,-1,-1,613788,911251,-1,-1,-1,-1,-1,-1,-1,627625,-1,-1,-1,-1,864352,-1,-1,915625,316111,-1,34887,-1,-1,-1,543700,312341,-1,467273,-1,680430,-1,-1,-1,-1,-1,692690,-1,950716,298617,514710,410368,1757,-1,-1,-1,-1,928097,958513,339374,-1,816184,142581,-1,-1,-1,-1,547515,163603,202401,-1,-1,-1,-1,793619,282254,899251,367716,-1,-1,-1,162,-1,380325,-1,-1,194222,665497,616117,-1,168458,472735,-1,-1,62523,542797,458393,-1,538561,-1,-1,-1,872413,317322,-1,353413,-1,955839,31564,207539,511630,-1,405002,-1,-1,716732,681815,76656,-1,449140,-1,-1,218250,906232,-1,807274,777846,-1,169756,-1,418893,-1,-1,805015,694053,843772,-1,-1,749921,230680,731368,-1,-1,747304,-1,183135,861099,-1,-1,520268,158515,593445,-1,-1,297857,-1,51467,790012,379995,208019,300656,426456,525891,866014,-1,-1,-1,515101,137505,-1,462005,-1,157256,-1,-1,-1,-1,546777,-1,-1,-1,-1,480958,-1,-1,-1,-1,-1,-1,93454,414984,108813,-1,899067,-1,-1,165799,-1,319346,-1,484516,-1,-1,717684,-1,92433,388442,190936,427496,788200,730951,286585,30746,-1,-1,325438,-1,576687,-1,747431,-1,971333,-1,394898,-1,770083,984738,-1,-1,-1,-1,-1,-1,-1,93201,395087,-1,955503,-1,-1,953010,-1,889656,593216,617151,232914,226241,717158,-1,-1,546386,-1,-1,280598,-1,-1,-1,-1,-1,363685,-1,-1,623182,-1,-1,-1,572287,-1,615740,-1,-1,-1,-1,405555,-1,42497,398597,-1,-1,-1,-1,-1,-1,-1,822656,791925,902158,-1,-1,187475,-1,216653,-1,-1,454244,-1,-1,-1,-1,-1,399048,-1,-1,-1,824929,-1,-1,203229,-1,880883,-1,-1,-1,-1,99236,-1,237121,-1,253812,-1,-1,-1,-1,738148,-1,-1,423279,322835,-1,445534,-1,-1,-1,-1,69183,789831,361357,-1,-1,45628,778721,-1,-1,646846,195701,-1,-1,966655,-1,412556,-1,-1,-1,238351,-1,-1,-1,-1,149837,-1,499252,-1,-1,692711,-1,157377,-1,-1,86460,-1,164437,139230,-1,-1,803529,-1,-1,-1,-1,489719,-1,455314,-1,440209,195394,-1,597460,-1,412388,-1,-1,169382,254102,386798,126938,466306,-1,-1,411597,-1,-1,582276,-1,927871,679674,880563,78143,-1,722962,981944,233473,-1,318505,153150,560853,-1,-1,-1,-1,-1,-1,730016,331590,389107,290178,857021,250778,290533,598544,-1,-1,669947,156444,-1,-1,146348,650236,799696,-1,-1,-1,191275,468168,662025,500760,690495,733616,732576,-1,-1,846272,-1,-1,476768,-1,52755,-1,887353,-1,-1,376182,-1,-1,-1,-1,-1,870811,913367,842607,630984,-1,-1,-1,-1,-1,188309,-1,23983,-1,-1,-1,170716,130126,-1,537436,-1,-1,758613,341651,-1,-1,-1,-1,-1,980555,-1,-1,428774,435603,339720,-1,935239,-1,58585,261571,18966,-1,-1,-1,-1,612990,-1,-1,-1,310894,-1,-1,155042,-1,111192,39792,143441,-1,543209,-1,-1,940196,380130,-1,-1,306226,140126,-1,-1,-1,488649,-1,706837,-1,656095,211544,-1,-1,549719,18636,505022,7640,-1,223925,-1,738974,-1,12150,-1,741575,751234,-1,-1,-1,-1,-1,-1,-1,879798,-1,419921,-1,182765,472228,-1,-1,-1,-1,668750,-1,785253,465520,-1,93198,-1,-1,-1,-1,-1,519109,330053,-1,-1,313191,-1,-1,-1,-1,913686,418593,-1,926579,382954,33853,544420,-1,532116,60341,-1,244467,762829,542385,947690,-1,552435,971019,-1,375516,-1,956350,340399,30959,-1,164269,388821,195506,-1,231324,162554,-1,434558,-1,-1,-1,-1,834047,19418,324381,357672,263329,659417,21545,-1,-1,-1,774783,-1,322522,617964,985018,-1,-1,-1,-1,-1,-1,-1,875621,-1,-1,780853,-1,-1,-1,553518,930088,539167,522123,-1,809605,-1,-1,245634,412745,906592,926933,158923,899517,-1,938163,329994,-1,788251,-1,231117,805630,923659,786745,263556,-1,-1,619720,189918,-1,-1,283089,870727,78246,188501,-1,676926,638321,805769,374231,-1,-1,-1,391193,543838,-1,744590,-1,189255,-1,62933,-1,-1,-1,-1,-1,102288,916797,300293,929199,-1,-1,-1,-1,-1,751798,-1,695774,-1,384844,-1,-1,-1,789875,326912,825715,653656,650421,949074,-1,163907,-1,-1,-1,-1,-1,-1,-1,-1,-1,921949,497563,327670,-1,-1,-1,-1,730872,692780,259347,-1,550926,971680,-1,506281,-1,-1,676514,-1,-1,805072,-1,-1,627973,-1,-1,-1,20269,-1,26932,-1,47748,-1,-1,773913,-1,-1,-1,-1,470985,392360,-1,-1,745786,847341,321269,491075,-1,-1,-1,-1,-1,834960,915678,399944,-1,347011,-1,-1,189177,-1,745633,-1,-1,461849,-1,-1,-1,-1,-1,-1,-1,157809,711243,-1,721178,-1,10323,-1,743828,-1,145389,967770,750012,-1,357213,-1,-1,-1,963324,-1,445267,664488,775142,-1,372223,234779,-1,332125,-1,-1,-1,975137,-1,534462,-1,-1,-1,-1,396334,-1,610130,394656,-1,49098,68439,-1,801973,-1,-1,-1,-1,905007,-1,-1,-1,128957,509187,667188,839042,150619,-1,-1,-1,223582,533766,-1,-1,46934,350044,440943,210842,-1,-1,699444,-1,646053,-1,887622,556812,-1,-1,678000,528847,-1,-1,-1,743483,-1,666150,383143,692753,674616,-1,106576,248835,-1,-1,258697,263565,-1,-1,101811,-1,-1,880707,870576,518512,687539,-1,-1,-1,594405,794784,-1,-1,-1,917864,-1,-1,-1,59485,-1,-1,495550,-1,-1,519268,181395,636096,-1,588886,-1,426262,139683,-1,187261,7994,576362,-1,-1,-1,576266,-1,-1,16474,53013,731282,-1,-1,-1,212212,694658,936950,-1,-1,759025,-1,-1,604407,712767,34534,-1,-1,266391,383348,-1,-1,-1,425374,-1,-1,-1,-1,850004,-1,20172,69815,74770,-1,272662,850005,190672,-1,-1,932099,-1,703652,617695,260562,-1,817971,515409,-1,-1,-1,22400,312624,-1,928451,78150,779870,-1,-1,-1,617863,-1,-1,191429,-1,-1,604270,962313,166544,105537,941035,-1,54983,236157,-1,-1,-1,331698,-1,807009,995823,630748,-1,-1,297491,357710,724665,118161,-1,-1,-1,496209,257279,695213,-1,-1,534404,267082,-1,312679,-1,-1,471891,-1,-1,-1,-1,-1,-1,-1,276284,-1,-1,-1,-1,-1,852072,126064,-1,76878,225065,-1,212775,-1,-1,489023,599883,136106,27631,15350,-1,-1,685769,948387,-1,-1,-1,-1,214232,374944,-1,140113,-1,-1,-1,954100,117007,-1,275285,-1,-1,865010,601160,251508,700636,-1,665988,-1,-1,220157,966097,565006,47839,125325,370198,817760,815742,148109,-1,-1,253257,-1,-1,712104,-1,-1,-1,-1,-1,191437,364003,731384,-1,311736,502269,-1,701370,-1,27978,-1,327929,-1,-1,-1,-1,723108,-1,778452,-1,522943,246406,-1,425806,-1,132991,703256,808280,246202,609136,-1,531173,974365,-1,-1,241253,694519,-1,-1,537737,71601,727948,-1,-1,117682,-1,487988,51856,-1,-1,429233,785400,-1,-1,-1,915050,482361,673974,-1,540132,-1,614385,-1,-1,-1,-1,968309,792036,811063,248609,-1,-1,464654,-1,191873,-1,-1,112630,-1,255901,-1,558329,854622,403402,-1,-1,793430,-1,314088,-1,-1,-1,897114,-1,-1,363945,574644,-1,-1,247952,-1,623126,-1,-1,218146,742247,-1,-1,-1,-1,226542,-1,359378,-1,115337,-1,698046,-1,-1,-1,-1,463804,273969,93366,-1,482731,-1,703341,-1,688594,-1,591725,-1,705240,81188,20665,239530,620799,-1,-1,-1,376976,655181,-1,6163,-1,108630,-1,-1,-1,972754,982228,455947,-1,54635,985540,835389,264375,-1,500432,748577,284946,181061,-1,447980,498633,-1,-1,-1,531727,31915,13512,-1,-1,-1,-1,853100,-1,980327,-1,415713,611048,-1,798916,-1,462158,-1,115568,-1,936023,59871,-1,762522,864371,756693,401361,496633,514837,828170,558688,-1,-1,-1,230605,865556,-1,759630,647714,417307,-1,-1,587109,-1,-1,-1,-1,454266,-1,-1,-1,784212,397494,765123,820227,-1,-1,856667,-1,-1,827,-1,906120,-1,-1,-1,599491,157755,-1,-1,-1,739436,775393,-1,-1,-1,986832,520589,79752,147990,551985,-1,-1,-1,-1,-1,-1,-1,-1,-1,418664,-1,-1,-1,-1,-1,647005,-1,-1,-1,871785,-1,-1,-1,-1,381733,-1,-1,-1,-1,-1,254506,-1,506092,227978,238656,-1,-1,-1,-1,266690,-1,-1,251108,389603,834677,70465,-1,-1,260835,-1,-1,-1,652474,-1,-1,-1,-1,958690,991540,794436,105379,-1,896463,157119,798557,-1,-1,924470,-1,730525,-1,-1,608160,152685,127468,-1,509578,-1,-1,228433,732073,-1,-1,-1,-1,-1,288212,-1,-1,909242,-1,-1,-1,-1,8162,157725,-1,-1,808174,-1,-1,-1,532185,-1,82159,-1,-1,605440,68162,795312,919426,-1,-1,-1,-1,837431,409315,-1,368813,543304,627641,405247,956474,498953,-1,-1,49362,122899,-1,268117,739637,-1,-1,933919,-1,-1,724740,-1,-1,-1,848256,461746,-1,76785,674134,-1,-1,567522,-1,-1,142448,112661,694555,-1,-1,590987,-1,-1,896079,-1,-1,-1,885736,-1,-1,128577,615805,839349,482380,715563,696474,282573,-1,-1,33843,-1,-1,-1,-1,77109,-1,-1,655976,-1,-1,-1,88406,-1,-1,273624,-1,54601,-1,506299,886822,-1,-1,-1,843395,-1,601720,556070,950304,373784,66872,149999,-1,-1,-1,-1,-1,255749,75356,-1,-1,-1,602321,-1,174292,-1,315992,535720,905560,-1,709640,-1,-1,102106,-1,990630,-1,161883,329145,-1,-1,481370,-1,712667,-1,580585,101149,-1,-1,209749,633513,-1,101333,728849,863404,-1,-1,496553,-1,987283,-1,-1,-1,-1,-1,-1,449611,180149,652286,-1,672324,-1,-1,-1,-1,-1,-1,-1,257252,249969,-1,-1,-1,-1,587758,829831,-1,817348,-1,-1,990348,-1,865249,879688,-1,498389,634259,-1,-1,260580,650056,174402,33181,51200,754776,864942,-1,-1,-1,119800,-1,673934,-1,26728,-1,282099,-1,-1,-1,551199,-1,196433,298301,-1,-1,92267,364098,-1,268437,860182,-1,-1,529004,-1,179254,361305,835186,-1,83868,229671,363682,704003,-1,-1,-1,334744,867590,-1,414273,-1,-1,642190,943741,-1,691476,-1,-1,951517,-1,-1,-1,728721,-1,-1,673725,-1,96004,-1,-1,708208,-1,-1,918366,-1,-1,-1,560918,-1,-1,-1,-1,433006,983599,-1,-1,-1,-1,521693,-1,-1,-1,733751,-1,-1,-1,498007,-1,-1,805855,-1,81638,758175,-1,55093,-1,448076,702466,-1,-1,-1,76626,-1,257503,-1,-1,-1,-1,-1,-1,954025,-1,-1,-1,723090,662096,674521,-1,-1,-1,-1,-1,-1,271447,-1,-1,-1,828383,948808,-1,765082,-1,-1,466806,-1,988157,386643,133104,-1,-1,642435,708997,528307,633557,-1,391983,373842,-1,-1,212226,-1,-1,906139,-1,-1,-1,20394,804801,67119,737926,233853,699550,270058,11512,308322,729546,692689,-1,897793,109886,-1,-1,-1,-1,547330,-1,-1,-1,359535,-1,509877,-1,851380,363443,-1,-1,-1,-1,474842,250477,229771,-1,998782,-1,-1,-1,-1,408637,539563,-1,-1,-1,-1,-1,401903,-1,727069,683130,688616,-1,938911,-1,-1,-1,31782,767760,132928,-1,724177,391114,-1,26742,507122,-1,-1,49512,-1,-1,-1,-1,-1,329251,-1,-1,959473,-1,-1,197755,-1,798313,-1,-1,443602,303332,-1,738739,-1,-1,-1,452603,570236,-1,704169,820958,-1,918916,978614,-1,-1,-1,-1,-1,-1,-1,220791,-1,-1,6149,-1,431498,489191,129028,392915,-1,109994,-1,-1,-1,835030,19137,-1,-1,-1,-1,-1,-1,327829,-1,-1,320151,-1,871651,-1,190114,-1,971088,-1,-1,-1,-1,878161,-1,-1,975408,378908,-1,-1,666118,554079,673313,-1,-1,487740,872998,284285,287280,-1,-1,-1,-1,-1,-1,416698,-1,-1,-1,-1,-1,478184,-1,596453,496207,-1,-1,694732,313356,754268,439898,-1,-1,708661,752190,441754,-1,876660,-1,593299,483265,858180,-1,-1,-1,-1,547132,-1,795512,-1,-1,203580,752742,737786,358889,-1,-1,927819,891762,-1,-1,-1,493148,-1,205428,577551,81636,-1,50101,-1,-1,-1,-1,-1,634636,-1,-1,-1,367561,-1,149096,371855,-1,516819,165735,949368,34999,-1,375581,714038,498156,-1,-1,923764,348949,-1,-1,-1,858113,-1,308259,-1,608909,369788,173823,-1,464494,350946,-1,687423,661020,476453,-1,81376,-1,445149,-1,338880,969161,-1,263877,795843,-1,-1,-1,138050,-1,79381,755439,-1,-1,-1,865043,-1,479437,492141,-1,150018,-1,-1,875967,844885,-1,177458,-1,785601,263638,444653,280427,443651,288635,-1,954884,-1,-1,665110,-1,96403,633511,499521,-1,978643,897654,43751,615031,-1,-1,266071,-1,-1,248448,-1,-1,-1,757539,-1,-1,-1,-1,-1,-1,357937,988687,167612,92188,166403,723484,-1,998908,244638,-1,-1,515411,372965,-1,-1,-1,-1,-1,766285,-1,375098,-1,-1,-1,-1,-1,578958,-1,394386,-1,257832,48092,-1,450513,412456,-1,475092,374852,310203,-1,-1,176246,329655,188858,641204,-1,634176,515225,207389,833921,-1,649894,-1,195352,809421,871222,-1,808881,567612,-1,352943,-1,147573,99433,181453,182323,170392,-1,-1,730967,-1,738686,594536,-1,718913,-1,103367,423078,-1,-1,-1,199487,281013,1277,-1,-1,892384,-1,497135,-1,193203,-1,-1,-1,76078,651308,338920,111145,-1,78066,157250,987618,-1,-1,639434,-1,777940,-1,296099,-1,892266,903633,-1,799429,921991,-1,546355,590798,-1,437397,-1,-1,-1,887901,616365,639117,-1,-1,-1,955126,-1,117429,-1,387704,-1,-1,-1,167962,-1,-1,952100,346089,368765,472246,-1,124848,-1,454413,-1,-1,18337,297675,169834,550252,-1,-1,864498,-1,385766,474216,-1,590056,-1,-1,-1,-1,648135,647066,730184,72426,-1,700791,-1,804555,947750,-1,763174,409311,-1,379984,849938,790928,36485,174801,-1,32060,349085,528349,-1,753717,169473,-1,668294,-1,973703,627431,-1,-1,991822,514839,188048,-1,-1,316902,-1,990842,-1,-1,66616,-1,938596,51053,518806,926199,12015,-1,-1,361099,-1,181313,908370,-1,-1,832670,341185,282764,-1,265849,-1,-1,-1,-1,-1,181973,863567,-1,-1,596477,45171,435324,-1,-1,973951,553976,101944,862668,-1,466598,248777,-1,547349,742639,856347,-1,924143,-1,-1,-1,-1,591243,-1,152073,252769,-1,991943,-1,-1,-1,19831,495835,-1,447314,-1,-1,-1,117294,-1,-1,924974,462808,823591,-1,-1,-1,-1,34926,237980,70503,-1,620667,-1,-1,144850,-1,-1,43041,380783,143087,-1,70664,-1,328503,432966,904661,-1,-1,-1,387684,-1,962430,465058,753392,-1,889989,956936,637623,-1,-1,701054,107853,832105,647622,706324,-1,-1,-1,750408,484979,-1,-1,779084,50421,891597,2722,263900,26683,-1,-1,-1,891725,652106,68078,724307,-1,-1,-1,-1,-1,792707,62026,-1,177078,-1,-1,-1,25160,280449,240851,-1,598993,58117,516442,-1,341517,16867,930289,218467,125239,853344,28749,578922,185851,76199,591001,-1,-1,929176,-1,914872,987268,-1,728929,142050,777780,-1,-1,-1,-1,298363,687061,957809,596350,-1,747966,-1,330892,-1,449728,-1,226912,-1,599637,-1,280464,695374,-1,-1,-1,593051,-1,-1,420847,978216,282370,-1,-1,460239,416631,-1,154571,-1,292854,965320,922983,-1,20731,-1,380302,444990,-1,-1,-1,521798,-1,-1,76683,789181,-1,911423,81614,-1,-1,-1,-1,31314,26183,251065,824312,301121,910453,686834,854532,584429,302631,835736,-1,97873,938026,561731,267920,37136,-1,506550,659711,536255,-1,-1,160066,771437,-1,-1,829137,-1,621913,-1,329546,389985,320185,147087,392866,-1,-1,-1,648760,819355,-1,-1,-1,407474,539450,-1,517284,509065,-1,-1,112745,-1,-1,-1,282746,10305,779609,577727,268887,366134,-1,-1,-1,384015,-1,-1,107949,241212,985252,632547,-1,-1,-1,-1,394809,592351,-1,610160,-1,537868,-1,-1,-1,-1,987140,83446,838977,-1,895593,-1,-1,476171,-1,-1,-1,-1,152467,679991,175451,984789,-1,500872,733405,525775,-1,238861,842029,-1,55559,-1,-1,767823,80758,-1,267010,133993,-1,-1,994541,-1,407832,194579,899481,48317,-1,-1,109182,184328,914237,-1,621606,-1,792712,-1,84178,216317,611984,821992,-1,-1,338297,-1,-1,370485,-1,65950,-1,556097,-1,-1,144553,825621,692702,-1,-1,-1,-1,574814,-1,441867,248542,-1,775477,937859,-1,888191,377328,945427,-1,626299,707147,-1,997062,-1,168559,846104,324031,-1,-1,182435,528297,930010,-1,-1,-1,-1,-1,907050,179050,-1,-1,944208,-1,-1,-1,501167,-1,516955,106774,696027,510582,785218,772551,206234,-1,217494,235211,230694,807757,-1,-1,59393,-1,773454,64632,-1,-1,-1,-1,627181,-1,18836,-1,113300,568498,-1,-1,379317,939293,661873,-1,-1,903852,535507,314178,-1,840108,461487,564680,30575,451562,-1,-1,-1,821843,417858,-1,233290,-1,658745,-1,181581,-1,-1,-1,761574,261736,105908,288889,-1,105427,660408,970833,-1,-1,-1,-1,920144,507493,-1,-1,-1,-1,881825,442246,125449,511235,480751,922599,76482,580769,160298,-1,-1,571347,451434,-1,281234,-1,-1,123401,889404,-1,520124,759675,460325,-1,880950,-1,319224,971312,555710,-1,416793,-1,-1,701717,385611,54982,-1,472796,82525,180280,552687,-1,468087,-1,-1,844699,137560,-1,-1,-1,-1,500775,628642,-1,323884,133177,359466,630572,-1,44125,934239,-1,14704,935262,-1,743764,-1,265148,58749,-1,-1,41377,726748,-1,508484,813363,762002,-1,-1,758293,278706,272155,488338,-1,879071,-1,929332,-1,60217,-1,902405,-1,6261,-1,-1,195113,-1,709054,642673,-1,626746,-1,306845,-1,-1,-1,224922,127783,439499,523255,533253,-1,-1,-1,-1,-1,-1,-1,961532,-1,-1,986351,-1,-1,-1,26649,398769,285902,-1,-1,-1,-1,350168,318380,-1,-1,989395,-1,-1,-1,-1,-1,818602,375984,396905,-1,425928,902712,-1,-1,829355,-1,-1,431123,212468,959467,583533,181257,-1,-1,220451,193922,790674,150384,-1,175314,928516,-1,951631,521706,220228,-1,-1,-1,387507,-1,-1,429935,455050,-1,354253,-1,586484,-1,373449,591415,-1,819608,419197,929881,-1,75645,986802,-1,-1,-1,557423,-1,-1,576206,351101,-1,-1,-1,556223,246515,-1,-1,774655,852160,-1,423310,928579,-1,-1,151136,-1,402648,-1,888250,-1,-1,-1,599938,949535,-1,-1,-1,-1,179285,280943,-1,-1,301836,933736,309179,905788,-1,-1,888204,-1,235098,63921,961213,-1,134654,-1,902347,-1,-1,700448,-1,578332,-1,926445,-1,-1,849030,543555,208989,238272,-1,942858,-1,-1,5118,551870,180087,-1,449191,-1,-1,-1,-1,775673,208416,-1,10861,190481,-1,-1,26246,780493,-1,284091,-1,818215,-1,225759,-1,966915,-1,49634,747693,446467,-1,579349,373102,-1,595533,377709,284829,673418,139753,-1,-1,247316,-1,676752,915389,-1,-1,199135,-1,-1,613853,-1,-1,323185,-1,492578,969439,-1,855027,786032,671346,-1,266804,-1,661135,284023,545896,-1,197992,369663,-1,432808,-1,137724,888380,-1,-1,695535,832041,-1,831518,-1,-1,-1,312483,98659,-1,684488,999837,-1,-1,-1,-1,-1,133943,647315,949860,-1,74948,-1,-1,-1,-1,395682,-1,-1,626906,951960,526417,-1,-1,-1,184309,554649,-1,-1,-1,-1,977368,277400,-1,-1,-1,803863,-1,615524,106905,395022,-1,-1,-1,207740,141556,-1,567207,-1,52430,-1,-1,-1,107662,-1,810669,-1,-1,-1,-1,-1,-1,982240,-1,-1,123659,951838,857956,-1,-1,-1,-1,498899,-1,480484,-1,411272,-1,794180,180205,482221,-1,-1,559171,-1,261254,533386,112368,985162,-1,-1,-1,629763,-1,-1,-1,146523,603573,-1,733853,341716,132758,-1,394521,191967,174454,-1,-1,-1,292369,-1,754953,-1,-1,744302,660333,-1,-1,-1,456086,243749,-1,-1,335437,244989,100051,-1,542364,653071,599579,-1,730883,473623,827633,-1,179058,159537,303758,-1,925830,-1,-1,-1,446096,-1,-1,46822,-1,984536,706277,-1,-1,-1,-1,734,-1,61658,-1,-1,678355,-1,-1,779816,-1,196724,583162,-1,-1,419358,649400,612212,-1,-1,-1,196566,306427,422880,-1,-1,850029,-1,-1,-1,972325,930447,-1,-1,916471,62285,353032,-1,-1,-1,449841,-1,137902,-1,434966,687054,171152,-1,795294,705677,661587,184763,-1,-1,-1,-1,-1,625129,-1,943690,589928,-1,-1,-1,-1,-1,272876,-1,812054,585279,853128,-1,-1,-1,903538,835820,-1,-1,222621,-1,-1,692872,319244,-1,-1,286957,957487,310393,-1,738934,-1,-1,159994,213219,-1,139267,-1,902406,107105,9457,-1,-1,38703,-1,-1,-1,831595,-1,-1,708666,-1,501932,550837,-1,-1,413721,251709,-1,-1,-1,488988,90334,-1,-1,-1,-1,790134,317229,-1,-1,998026,701200,102324,894430,263543,-1,-1,99162,251037,300523,115934,760084,-1,-1,617398,18204,433854,-1,-1,474234,68102,295556,-1,-1,-1,-1,-1,739669,-1,-1,-1,-1,601696,887272,-1,583121,399817,-1,-1,-1,-1,810169,869742,-1,-1,76611,698906,715387,501310,-1,905876,-1,-1,98516,-1,-1,594376,886367,-1,-1,516781,-1,786399,230965,265861,753396,806680,465749,-1,-1,-1,-1,-1,-1,-1,-1,-1,909330,-1,629885,443681,-1,-1,-1,-1,-1,-1,605615,468376,99734,919171,888790,-1,338734,705319,-1,-1,98756,-1,-1,326089,659842,4766,179636,569684,311593,-1,527775,-1,588598,760798,75181,392691,956208,185691,506655,-1,-1,-1,646438,-1,-1,-1,-1,683746,735918,-1,-1,356629,-1,-1,927421,-1,-1,-1,982662,961812,114077,173562,922077,129840,-1,398298,657155,52059,768947,609621,-1,316588,-1,-1,-1,269861,189913,157366,374015,764611,-1,358191,-1,488089,-1,601207,-1,286052,618829,-1,458827,-1,-1,-1,154376,677509,-1,133164,957246,820427,263955,35864,-1,702414,-1,276418,-1,-1,-1,331517,885138,-1,-1,-1,480627,-1,944178,266520,-1,-1,504517,-1,491474,-1,-1,401002,290044,-1,-1,815808,441787,615778,717091,875546,-1,534614,174793,696784,-1,-1,339616,294141,-1,-1,891496,718792,-1,536536,719619,-1,225519,-1,925346,830303,572028,768534,801533,527517,-1,946073,86008,700744,748405,823783,-1,896771,-1,804213,739584,971349,-1,-1,714466,-1,-1,-1,-1,715879,394677,-1,-1,685471,635381,-1,-1,-1,-1,823296,-1,547930,-1,78950,-1,-1,112679,-1,845071,74666,347585,409041,941582,-1,-1,906088,582474,-1,322036,-1,-1,939405,358062,-1,553022,-1,953629,445504,239001,892367,150291,657107,-1,728641,998396,-1,-1,-1,533872,-1,-1,-1,591040,337988,-1,-1,-1,718929,158076,996314,-1,51230,-1,294592,-1,712174,326112,170618,-1,-1,987148,368079,88807,13602,-1,428218,-1,887203,647369,-1,791407,-1,-1,-1,887730,984447,940638,124981,-1,-1,744353,741488,-1,-1,-1,-1,544498,823490,-1,-1,-1,410207,-1,-1,-1,-1,300003,-1,-1,277367,-1,-1,-1,275229,-1,-1,-1,996222,130269,-1,136830,-1,966278,-1,-1,-1,-1,-1,327663,538790,709453,73855,920194,283312,960750,645190,416713,68853,370143,-1,343820,-1,-1,-1,-1,713681,818065,-1,-1,-1,937339,-1,-1,965883,-1,386687,-1,-1,289708,-1,426833,767035,-1,-1,-1,-1,-1,-1,-1,508456,677739,-1,-1,581845,738504,-1,948577,640837,384919,-1,-1,-1,262016,669653,630967,-1,-1,251936,-1,-1,58118,408223,33974,835357,-1,164725,267121,492412,713291,-1,304535,-1,-1,-1,124363,449173,377698,666613,176567,-1,-1,712756,-1,581032,642508,-1,-1,-1,550947,886195,-1,877365,-1,-1,-1,102880,773410,66937,-1,-1,-1,533402,109651,361490,-1,-1,88102,234360,692765,952511,766916,181462,-1,735210,-1,364193,89610,-1,352675,163881,-1,994575,-1,-1,945013,-1,401737,-1,584611,450037,-1,832810,890769,-1,713199,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,843611,-1,-1,-1,-1,332120,54796,865378,674087,-1,632144,-1,864061,-1,591335,521026,-1,-1,-1,139774,-1,-1,-1,-1,156491,-1,-1,-1,-1,499890,204083,-1,-1,918342,-1,67609,737279,288793,553005,19111,-1,-1,825276,-1,64975,-1,-1,271392,-1,422218,-1,-1,986148,-1,222763,-1,-1,-1,112925,644550,633311,253604,-1,701953,-1,65354,-1,849280,491552,676243,794322,-1,-1,385865,570754,-1,-1,25360,644674,102871,468122,131092,-1,-1,409013,49937,-1,-1,-1,-1,-1,-1,23819,379949,217312,785760,-1,-1,-1,-1,-1,-1,483549,-1,-1,187876,-1,245060,868727,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,433088,-1,-1,-1,856873,536426,65103,818870,378348,-1,-1,203990,-1,677642,823585,-1,-1,758019,311227,-1,-1,-1,-1,-1,-1,433310,-1,259565,998534,-1,423535,798417,952167,856830,205685,116375,-1,651740,-1,-1,486849,-1,796756,-1,-1,-1,751768,-1,848879,-1,773226,941574,-1,-1,-1,483522,-1,336857,216556,-1,76132,-1,504536,-1,-1,310353,-1,985117,-1,389951,535157,712045,-1,963490,-1,860958,-1,-1,-1,743779,-1,-1,-1,-1,676696,39511,954751,-1,-1,-1,983573,-1,-1,-1,-1,31573,-1,-1,84416,-1,-1,-1,-1,948756,418120,-1,-1,-1,-1,-1,-1,961046,-1,502103,17602,424650,-1,-1,-1,-1,-1,-1,975207,-1,693747,873497,-1,-1,356400,721179,-1,258860,99140,-1,-1,256843,822191,220287,-1,500503,-1,311188,645801,604528,-1,-1,547354,-1,-1,-1,-1,235145,906250,820124,898094,165884,-1,-1,-1,-1,-1,-1,438318,-1,879048,471320,8598,15689,-1,-1,-1,436055,-1,903864,-1,507845,844119,-1,-1,424988,171769,-1,385532,-1,748092,575418,-1,-1,-1,-1,-1,-1,645887,98048,-1,-1,425187,842222,-1,-1,-1,98406,153188,-1,211348,-1,769836,573685,14471,-1,802679,984279,-1,668797,613687,-1,705991,-1,-1,-1,757913,133651,171503,963672,-1,237086,638185,-1,17339,-1,706102,836206,710440,-1,-1,473244,464439,-1,-1,-1,859625,-1,-1,-1,-1,-1,807006,-1,430552,203881,383215,323491,-1,14904,451133,303021,621453,35525,962760,102090,727977,253983,-1,344672,-1,-1,-1,829541,-1,-1,283500,-1,986324,726319,484801,-1,916961,604684,-1,-1,543257,761483,488704,-1,-1,-1,332458,-1,-1,774537,958504,-1,-1,325797,581276,987552,446498,-1,-1,89455,750203,-1,-1,492839,979627,878883,972253,-1,897201,429672,-1,-1,-1,-1,746718,-1,640469,397024,583932,954033,657493,964559,-1,996702,-1,776722,97037,-1,-1,90847,612374,870412,548459,-1,182094,967299,776376,675931,-1,-1,-1,-1,178761,410030,309393,925459,-1,-1,644044,-1,397428,715631,519644,866818,127738,-1,961593,896446,613047,146966,-1,-1,-1,583525,-1,380677,-1,-1,191096,163857,729492,-1,796637,-1,-1,-1,-1,-1,612359,-1,11505,-1,-1,-1,-1,441454,545513,140282,166822,821470,880719,704054,-1,-1,-1,-1,-1,-1,-1,439502,-1,-1,-1,775722,-1,798443,661170,802941,-1,867339,-1,673108,696638,-1,-1,355892,-1,649271,734103,-1,-1,-1,-1,602892,586204,252010,-1,-1,747357,684414,-1,-1,-1,157010,921919,-1,295962,-1,161381,181845,131406,567772,86902,232383,194809,-1,-1,132084,865869,286367,-1,916429,-1,-1,278574,-1,159806,81484,829056,485870,-1,-1,-1,-1,-1,-1,-1,548539,599190,-1,-1,999917,478854,775013,-1,-1,148589,-1,785345,-1,-1,-1,10308,899084,767865,-1,379496,434841,-1,411288,52511,740724,-1,-1,-1,331656,-1,-1,-1,-1,-1,-1,17566,114497,339560,-1,350233,-1,-1,941672,-1,-1,-1,-1,-1,-1,-1,-1,145142,-1,-1,804049,159576,-1,135382,-1,900870,-1,346033,77129,-1,-1,298657,323012,383200,724390,-1,-1,-1,-1,-1,757361,-1,588824,986781,544560,-1,-1,499494,555669,-1,-1,-1,-1,-1,-1,27693,570627,556701,-1,616256,211057,-1,695699,26980,-1,-1,801907,-1,702477,-1,-1,235901,753930,572951,502265,677303,-1,-1,559249,-1,-1,319479,521275,-1,812604,960794,-1,946136,-1,396530,-1,699430,518867,496339,-1,-1,-1,-1,-1,689848,907686,-1,-1,349597,338930,-1,-1,-1,828520,258070,-1,383048,375390,-1,-1,-1,143954,-1,-1,134516,735617,774601,869788,-1,-1,-1,174152,-1,-1,-1,-1,-1,-1,-1,234403,111964,-1,-1,-1,-1,-1,382556,490454,91385,-1,-1,865105,499071,-1,-1,-1,408740,824611,-1,-1,609897,606282,-1,-1,-1,12898,-1,-1,547869,-1,806129,443410,568735,687080,836445,267421,-1,-1,-1,879911,-1,142915,-1,762462,994686,300669,-1,672041,581720,541589,91522,628127,-1,-1,-1,-1,-1,-1,34203,65700,497224,894775,-1,153368,751870,-1,142816,-1,827814,224911,674537,838722,750151,-1,214166,-1,-1,-1,643527,109648,-1,-1,-1,-1,-1,-1,329437,-1,-1,622220,-1,-1,6378,-1,-1,-1,999245,925166,6559,-1,-1,-1,-1,-1,-1,-1,790091,-1,-1,-1,392043,483158,-1,543451,330966,-1,252957,613897,70343,575267,206946,-1,923588,-1,-1,71672,948936,237289,92486,380715,78249,-1,244028,8352,-1,131310,-1,-1,-1,-1,659029,-1,-1,699570,-1,829540,398108,883553,-1,324813,-1,777089,930741,-1,-1,241798,896032,555958,745657,343385,151098,-1,467904,75867,-1,-1,-1,827847,-1,-1,716652,978746,-1,212716,-1,428052,537564,809673,-1,-1,410992,-1,467267,-1,-1,-1,-1,932085,830318,-1,82773,891674,-1,604773,-1,-1,468553,-1,253768,359896,559186,-1,135431,195743,534128,-1,252332,-1,-1,97985,-1,370888,971971,321735,-1,-1,-1,-1,95209,-1,334025,-1,-1,-1,377032,818407,717397,-1,339590,500639,251504,-1,754095,-1,-1,852464,-1,310814,-1,709403,-1,688421,530772,678939,-1,750627,-1,218476,11338,-1,18844,-1,-1,967688,820595,2055,-1,394500,461414,-1,885122,550766,-1,98026,625378,314049,-1,47695,477096,3855,862375,-1,194229,18307,834820,806553,128413,-1,-1,-1,164925,-1,383403,28189,-1,-1,-1,424713,3968,-1,-1,601578,-1,-1,329250,866954,-1,277174,648912,633444,-1,-1,333173,260341,509772,-1,135695,-1,-1,-1,35246,-1,76151,170051,-1,513673,-1,713563,-1,-1,-1,-1,659329,-1,-1,140906,-1,407924,-1,-1,-1,777935,-1,358827,766777,-1,242055,603054,842220,325421,930154,-1,131380,-1,302176,47243,-1,-1,883696,-1,543863,728166,-1,737513,643974,99686,-1,-1,-1,-1,454089,121035,296537,830931,999877,366439,891805,-1,-1,701394,-1,948689,-1,781756,-1,-1,534673,77138,986578,316175,500166,-1,388688,982018,-1,-1,-1,-1,887888,-1,32279,69249,108153,402841,-1,-1,-1,-1,-1,-1,269052,806844,210314,154507,111836,-1,-1,-1,-1,-1,-1,-1,375199,-1,-1,-1,402374,-1,-1,506575,-1,223324,548561,-1,-1,-1,514251,891506,887770,-1,-1,-1,302866,685643,-1,118052,-1,-1,531665,-1,-1,-1,-1,-1,68642,-1,-1,-1,-1,-1,106777,207037,-1,835982,662071,-1,-1,-1,-1,-1,-1,-1,407221,596758,-1,519688,-1,-1,76604,98259,-1,587575,-1,548317,-1,-1,-1,-1,-1,861453,90538,612048,-1,-1,3661,-1,-1,709968,94868,-1,107958,-1,-1,-1,132332,-1,-1,-1,-1,-1,314011,725911,656139,59186,458252,-1,180089,48541,-1,-1,312472,149364,-1,295333,-1,-1,334549,-1,478708,-1,995776,831917,329470,966868,378028,-1,-1,-1,4616,770046,661732,316718,467282,320974,164490,-1,714556,633875,610036,-1,944184,988909,1825,-1,138500,494993,-1,-1,351199,-1,-1,598584,-1,987310,277100,-1,-1,976800,-1,470117,52074,-1,-1,-1,-1,727719,436545,500283,-1,34212,-1,-1,528609,-1,-1,553690,625656,-1,-1,929389,194097,210722,942,307143,-1,-1,-1,-1,-1,674509,607242,762101,-1,959619,5744,-1,679542,-1,-1,358983,-1,-1,-1,-1,-1,-1,126782,-1,-1,-1,-1,-1,782696,88498,-1,894143,-1,70581,-1,144740,-1,771146,-1,-1,713416,-1,789594,679545,-1,197822,954150,466907,38973,491147,971261,-1,652553,186117,125436,-1,-1,-1,685796,113813,-1,-1,-1,93792,764845,771256,83458,342885,601237,-1,792459,907136,487036,-1,517662,64941,-1,679581,-1,-1,249354,245158,224735,-1,-1,508385,591100,394377,-1,-1,-1,-1,178811,725961,-1,882283,-1,-1,-1,770459,294532,335491,21108,-1,-1,660855,-1,-1,588857,484871,-1,-1,367238,147800,48115,923656,-1,79704,569083,-1,-1,336846,-1,-1,-1,-1,703377,-1,-1,-1,531777,450436,-1,-1,924315,-1,-1,972055,976360,186490,203360,975371,-1,271044,-1,951312,308775,615924,-1,-1,-1,-1,152531,-1,-1,-1,-1,-1,-1,26585,-1,58609,340958,-1,201747,990606,-1,-1,-1,-1,-1,-1,740788,648616,573581,-1,-1,151254,-1,-1,-1,-1,-1,580345,-1,340690,-1,278056,951224,335554,801241,109370,-1,137273,209087,518478,942977,-1,736143,-1,-1,738545,822770,-1,246056,-1,175614,914371,-1,501443,-1,-1,326888,177474,-1,44309,93418,435120,949160,-1,-1,404681,-1,-1,842143,96650,212858,-1,357529,249479,-1,-1,240410,121935,-1,38831,-1,859432,34215,939560,-1,-1,419260,-1,-1,355476,519025,-1,654022,548163,-1,-1,-1,374548,432147,-1,657192,-1,-1,126455,658727,479822,18927,-1,328638,973195,-1,140941,-1,639946,623600,-1,-1,519960,-1,204188,135266,843824,-1,-1,876558,-1,-1,-1,-1,779438,186893,-1,600536,-1,988513,-1,-1,945,-1,-1,-1,401264,548957,845267,-1,254766,-1,586511,205042,-1,237792,-1,810389,-1,-1,511580,333349,-1,-1,520511,13914,604791,106391,473116,-1,-1,807377,307919,318855,-1,229656,290629,-1,466652,251142,-1,191891,-1,-1,613015,-1,-1,-1,591571,213501,477778,-1,668819,-1,208719,430896,-1,-1,-1,-1,-1,118392,94095,581818,628053,-1,-1,2944,126508,767878,572807,511603,322193,-1,882702,46009,-1,710193,-1,256887,31486,450419,-1,-1,-1,-1,-1,-1,-1,322447,252546,345815,700848,-1,-1,681360,-1,257596,-1,-1,25387,-1,649405,-1,359295,-1,580462,877685,799264,-1,-1,-1,211221,975403,841173,629333,-1,287938,678817,-1,664394,319000,626140,217259,636658,-1,-1,280689,-1,22639,-1,-1,14026,-1,-1,-1,-1,-1,798935,-1,-1,95676,-1,89903,886892,617665,290776,213546,470360,-1,-1,-1,-1,872127,158447,-1,131844,441493,-1,-1,453329,871522,692547,-1,195511,587204,-1,-1,339726,-1,351098,-1,-1,-1,245660,-1,561963,348043,-1,729888,-1,33120,895621,-1,-1,803255,33712,-1,89380,-1,-1,548223,-1,-1,-1,-1,-1,-1,-1,-1,26348,-1,-1,952906,-1,745767,27545,347941,-1,793612,-1,-1,317239,138364,612345,417077,409322,986269,916002,-1,751855,144274,915400,-1,334815,430246,758620,680506,637866,852886,858449,192968,456681,-1,-1,-1,-1,-1,403297,241482,376125,-1,400462,-1,86002,-1,184744,-1,417352,-1,136276,-1,-1,555499,509661,144152,120325,-1,546845,-1,-1,112859,967782,310341,-1,-1,-1,332976,322527,-1,-1,-1,707786,-1,-1,-1,-1,-1,-1,-1,-1,121386,-1,883175,-1,-1,-1,483465,-1,320599,-1,381712,-1,-1,816370,-1,-1,224430,339534,929330,-1,893495,699774,-1,-1,881621,-1,-1,811407,-1,-1,824733,35405,-1,271718,-1,291046,106103,470813,31030,441827,114361,529716,516356,-1,-1,-1,-1,535692,869468,-1,213453,817210,-1,610448,-1,-1,-1,895967,140644,274638,561182,551109,654654,-1,-1,813310,39652,232036,-1,884978,-1,-1,498491,-1,-1,-1,524391,-1,-1,751442,202565,-1,-1,278446,257946,-1,-1,31965,755055,784893,309197,-1,23342,-1,910010,294800,-1,668735,414871,-1,219730,682030,-1,792900,-1,132546,-1,690919,-1,-1,-1,-1,992419,386930,-1,-1,174794,878376,177954,776921,190435,-1,-1,-1,544606,-1,776658,-1,25986,573384,-1,326846,625962,879619,929730,-1,63081,-1,-1,71396,-1,641669,-1,-1,-1,-1,465763,856459,-1,-1,-1,493934,330820,-1,-1,81559,586566,-1,527098,-1,196893,-1,-1,319403,939138,832712,-1,386711,-1,-1,221283,377149,-1,166751,786848,-1,19743,741601,-1,-1,-1,-1,-1,-1,-1,-1,574060,217565,-1,-1,-1,862888,-1,565320,735576,-1,297143,131159,813231,963927,-1,-1,925742,435260,730793,-1,-1,-1,-1,-1,453747,-1,-1,614662,-1,770091,-1,633184,-1,105956,571146,-1,-1,897530,-1,137669,948085,444057,39210,680617,367314,-1,-1,732738,538580,371953,80209,-1,-1,19444,522204,-1,-1,211010,-1,-1,896362,247566,-1,-1,273950,557947,564943,-1,658324,239043,-1,-1,-1,169877,-1,75218,347765,283911,367972,-1,442952,544574,-1,-1,-1,-1,-1,-1,308961,80976,-1,337992,567777,208841,-1,-1,919295,-1,652797,93841,765056,-1,709372,304268,-1,644683,402617,381312,232295,-1,-1,878498,-1,-1,-1,702562,696423,-1,706944,643555,117634,782726,-1,488483,-1,-1,-1,-1,254743,-1,-1,-1,-1,-1,374561,564257,-1,-1,976536,-1,-1,-1,493509,-1,-1,763819,314562,-1,-1,511536,953301,466859,925411,605547,879007,-1,-1,441211,-1,-1,-1,569232,-1,-1,516389,394260,-1,-1,603803,784831,379024,-1,-1,456539,507169,606450,-1,-1,-1,921939,577379,-1,-1,751411,646257,-1,112252,609807,-1,231881,-1,-1,973339,936355,188819,-1,109388,750397,281255,-1,335395,30914,447533,-1,-1,876944,-1,319907,831857,411380,-1,771792,7843,-1,-1,-1,565486,345919,-1,314179,252689,209912,751343,-1,517691,719003,435775,976155,-1,731466,-1,295187,852513,677908,-1,-1,972909,-1,-1,-1,138969,-1,-1,239211,795513,670675,-1,-1,929474,328853,619174,-1,672522,-1,324691,137722,-1,137216,-1,866064,-1,598715,366202,835814,167008,-1,-1,-1,-1,-1,-1,-1,-1,588336,-1,-1,177297,-1,709807,-1,-1,-1,-1,842576,-1,330533,519586,-1,-1,333402,591377,938590,-1,540177,694013,-1,-1,917343,287872,394993,341137,-1,526907,-1,583361,-1,-1,-1,538191,901620,517577,137650,-1,585566,-1,26093,219782,673912,934302,-1,957842,-1,391567,-1,-1,-1,695477,-1,191824,-1,560811,47820,-1,-1,62266,362667,-1,746088,-1,972472,682467,-1,422295,-1,328083,-1,-1,575069,-1,-1,-1,186281,-1,195240,-1,-1,244637,-1,-1,-1,445650,-1,750350,512832,-1,932155,-1,-1,977898,-1,-1,882647,436208,380137,-1,-1,884481,210985,-1,-1,-1,421846,-1,309941,927081,446086,958709,837321,56118,-1,655188,-1,108703,418509,-1,668982,-1,-1,755034,-1,-1,419530,2439,-1,737243,500501,-1,591228,-1,-1,545262,-1,-1,-1,-1,-1,939974,709053,-1,255610,103831,-1,-1,-1,-1,-1,-1,622003,974265,384729,828783,296638,-1,752107,-1,-1,-1,-1,-1,519177,-1,-1,-1,269828,375707,-1,-1,101847,-1,310024,70164,405108,291329,899323,-1,281466,-1,701487,-1,664039,-1,858957,-1,-1,159543,803256,-1,-1,-1,422499,820422,-1,-1,-1,11552,133085,387217,677577,-1,983233,-1,842413,853698,623212,782570,782632,590093,-1,-1,-1,124082,601510,378905,846047,76660,-1,-1,-1,298342,655910,959395,-1,-1,226793,922308,-1,85833,509061,-1,-1,-1,913551,572616,-1,-1,440896,-1,224716,472231,64840,944778,-1,614198,506429,-1,642514,536083,539499,822985,-1,-1,906151,752248,-1,242810,-1,-1,551064,-1,882269,734409,-1,539960,962956,-1,650449,845072,-1,-1,-1,-1,-1,682848,585281,-1,451601,884611,-1,-1,909407,913841,961518,-1,-1,704810,-1,414953,-1,-1,-1,-1,-1,-1,222497,-1,526165,-1,779708,348135,-1,-1,-1,-1,-1,-1,734846,-1,657174,385985,203098,487348,-1,-1,-1,199825,-1,103749,-1,-1,673865,-1,-1,458529,100945,-1,583434,808894,-1,-1,-1,879159,-1,-1,-1,-1,-1,961032,377493,-1,-1,-1,779426,354170,-1,989233,-1,-1,-1,-1,-1,718831,508202,-1,170238,-1,299924,-1,709130,-1,-1,-1,-1,97523,209628,144330,585954,-1,511254,687683,901345,488909,-1,920482,337976,755337,122539,-1,-1,-1,-1,-1,-1,962651,-1,-1,422025,269669,406264,-1,715636,269410,-1,-1,134687,-1,682814,-1,-1,710068,-1,-1,-1,-1,-1,-1,-1,848693,440667,771092,-1,-1,-1,20549,118593,230389,-1,278173,-1,-1,-1,-1,-1,612169,-1,937453,149986,269660,-1,-1,-1,-1,678418,745302,-1,-1,-1,-1,464972,-1,45645,-1,552944,-1,-1,-1,-1,-1,-1,965880,-1,-1,-1,601157,953818,-1,195884,-1,491061,-1,-1,-1,998500,897847,317855,224555,476295,434208,-1,878923,-1,-1,-1,489896,193015,-1,-1,-1,-1,213950,591588,476121,709113,-1,290167,823441,-1,-1,-1,206022,-1,365434,229021,273700,-1,391275,-1,195529,-1,-1,-1,-1,301517,-1,-1,-1,-1,-1,257091,53727,-1,752926,650501,586917,-1,-1,-1,73424,513073,-1,-1,65471,104060,276693,-1,-1,-1,599226,738071,-1,880613,517120,-1,-1,-1,-1,-1,-1,607578,-1,229008,-1,460369,-1,438444,-1,-1,-1,580493,-1,-1,940193,-1,696185,-1,-1,539551,-1,-1,290998,-1,-1,885919,-1,-1,-1,-1,-1,219412,-1,653821,271765,-1,216729,-1,127795,303039,-1,-1,185658,499484,704209,754035,512861,284360,-1,238265,896116,666762,986032,531900,-1,-1,-1,-1,-1,-1,-1,-1,760490,676671,-1,-1,-1,202465,-1,-1,-1,308408,975471,-1,-1,97399,-1,-1,-1,976165,-1,602435,13535,961696,140191,-1,-1,-1,-1,181438,-1,-1,344462,-1,-1,884399,585242,-1,567402,-1,-1,-1,-1,577043,290554,-1,585142,799660,-1,-1,-1,747461,794981,200992,108144,964845,332171,734340,-1,125465,-1,895717,-1,-1,762322,-1,489207,-1,-1,681165,898623,229223,-1,396890,-1,-1,-1,-1,-1,312927,-1,209407,-1,424026,943452,369509,507256,-1,-1,-1,-1,-1,926297,-1,-1,-1,-1,-1,-1,393064,197701,-1,83610,-1,-1,639244,139065,890253,885365,950708,944261,-1,446790,853209,-1,89326,257245,119426,-1,-1,570672,-1,484280,-1,463932,68318,724580,978383,241631,-1,922984,-1,-1,127755,-1,-1,979119,-1,-1,487843,-1,148183,674290,-1,-1,-1,-1,-1,-1,-1,-1,-1,906427,747019,-1,-1,-1,-1,229796,-1,-1,53950,-1,722045,261217,-1,-1,101858,282148,10056,-1,884770,-1,-1,-1,-1,-1,-1,420272,541741,436044,819251,-1,20199,453497,-1,880689,-1,761715,423728,548012,-1,197114,568066,-1,-1,-1,483911,-1,203356,996500,877934,92616,254928,808440,-1,-1,-1,-1,116544,62185,80490,269788,911002,320167,554703,-1,-1,-1,257649,999991,752008,130888,-1,-1,-1,-1,837094,-1,-1,-1,-1,651393,-1,210433,-1,-1,-1,867314,204690,319588,-1,759104,-1,-1,-1,655580,215388,324606,369438,-1,561232,-1,107341,-1,922084,393171,101617,161224,-1,-1,-1,-1,288906,-1,309451,588759,885319,-1,-1,-1,522041,506282,-1,-1,-1,-1,39664,280385,130938,97988,581281,871276,-1,933470,730564,-1,-1,-1,913865,-1,-1,832123,280809,350176,-1,-1,-1,536371,-1,-1,283606,691558,676658,-1,-1,-1,-1,212749,150858,-1,701163,-1,-1,580457,763612,139021,-1,-1,-1,961615,317937,469985,668270,137066,-1,913162,977101,320091,-1,231825,-1,701974,-1,407068,-1,944039,-1,-1,515354,209952,-1,-1,-1,-1,109669,573991,352031,-1,594672,-1,847927,850407,-1,188261,828004,919738,-1,64030,406281,937322,-1,443170,-1,87002,-1,706639,553671,-1,-1,227948,-1,114539,950607,887936,-1,-1,-1,675849,128250,904241,-1,784744,-1,-1,734174,-1,566889,737375,-1,-1,-1,-1,-1,79522,197295,-1,-1,137609,213927,485025,986765,896976,233756,-1,521918,-1,-1,-1,875111,952725,355373,-1,-1,-1,-1,392731,-1,300838,-1,41317,705805,417374,-1,681421,488287,657518,329169,-1,277335,-1,9626,-1,-1,-1,-1,621243,198076,-1,546544,460708,-1,764656,-1,846828,-1,425639,618379,695630,729614,501101,819259,-1,-1,-1,-1,364771,-1,194992,907574,-1,-1,-1,121886,-1,-1,459575,223689,-1,-1,-1,978006,930110,-1,621803,362355,318533,364826,-1,-1,-1,-1,938416,636934,-1,594595,583312,-1,15534,626403,-1,746392,744507,-1,777234,326096,703209,284273,-1,-1,942406,-1,-1,-1,382222,-1,-1,141709,-1,533985,-1,-1,-1,-1,-1,495868,14199,-1,618748,594251,-1,73926,205282,307808,601006,-1,-1,-1,830800,635653,-1,777719,537986,123367,-1,-1,873592,543817,532386,839614,76896,313663,597520,-1,133149,-1,-1,-1,-1,-1,-1,807587,113940,927585,-1,37246,-1,323199,717445,-1,-1,264501,-1,368676,-1,-1,244860,636869,273483,-1,492232,922883,-1,659641,958763,-1,586656,-1,621389,-1,-1,406795,-1,168002,419953,-1,200018,-1,335500,-1,571204,820115,574449,-1,-1,-1,311123,755646,616173,155488,-1,-1,-1,800563,-1,596128,-1,183241,-1,-1,938624,264913,998911,521519,222724,51397,-1,805637,961880,363652,-1,-1,-1,13572,160608,-1,-1,210445,365479,-1,-1,-1,-1,139368,377470,282663,-1,773981,-1,-1,314111,826891,-1,-1,-1,-1,-1,-1,-1,344742,-1,-1,-1,-1,437278,-1,-1,-1,458358,157177,123683,-1,-1,57814,637171,-1,906402,-1,-1,14241,353016,-1,-1,656072,-1,773155,-1,372602,998871,-1,507340,356901,-1,-1,-1,772736,877990,930683,510046,-1,47528,835710,532497,207305,200263,240328,183315,228518,-1,-1,877599,-1,-1,-1,-1,-1,543407,-1,975439,-1,-1,-1,-1,-1,-1,495660,-1,136674,609111,-1,-1,853309,25616,625134,338559,-1,-1,194315,-1,-1,682028,-1,795603,128653,216962,-1,-1,531332,301793,-1,238482,-1,572969,177721,-1,964256,707443,33486,484752,-1,-1,-1,-1,285046,152440,910178,62795,-1,-1,401550,-1,-1,920885,-1,30745,437911,-1,-1,171255,615549,363191,-1,-1,-1,668786,-1,-1,-1,-1,-1,343678,-1,500959,-1,766510,-1,-1,303656,381224,-1,-1,712293,-1,-1,84269,650594,-1,717206,-1,-1,-1,-1,937793,-1,131516,883864,-1,-1,489317,-1,-1,-1,237690,-1,-1,-1,-1,225122,877227,625440,-1,311132,221615,-1,80374,-1,-1,905071,-1,-1,-1,-1,136606,-1,-1,553055,-1,277319,499898,-1,58402,-1,788473,955821,-1,-1,-1,690457,473493,740184,-1,-1,-1,-1,-1,544282,-1,-1,46679,-1,-1,-1,-1,-1,507349,-1,-1,488745,-1,378275,194522,226703,456237,-1,-1,-1,-1,-1,-1,-1,-1,106765,-1,-1,422998,-1,335513,-1,-1,406898,848359,-1,590464,270668,697978,-1,759517,-1,-1,-1,-1,617284,-1,-1,483797,108426,27713,594234,-1,281356,-1,594608,719038,-1,631175,-1,440732,506278,-1,318516,755543,-1,892513,398519,670634,-1,335168,992153,307358,-1,-1,-1,-1,42589,36429,475180,-1,-1,582505,-1,994383,293473,-1,-1,297723,780053,663293,782863,627921,-1,-1,-1,-1,78424,-1,-1,583899,679650,-1,101517,471851,870345,-1,242580,862203,-1,-1,-1,127949,-1,271024,-1,-1,-1,257874,-1,305955,-1,287130,-1,448819,464844,-1,170081,-1,-1,943579,354098,217863,408809,-1,-1,949307,499138,296134,-1,762510,258439,-1,328554,-1,732799,79497,-1,800962,-1,-1,563968,-1,-1,594025,-1,153593,729377,673797,803948,770149,660267,542029,430277,940349,-1,61568,-1,-1,-1,226548,-1,-1,-1,-1,92879,-1,-1,478753,-1,146515,102334,579785,-1,-1,-1,-1,-1,-1,-1,-1,940643,387675,960193,-1,-1,981389,-1,911003,337081,-1,87054,-1,629057,860497,-1,-1,896477,-1,-1,209808,719742,-1,-1,6156,-1,-1,368963,816472,-1,471345,197462,-1,-1,-1,21669,-1,860708,905627,306513,138166,-1,-1,583271,716456,410950,-1,861729,894996,404210,765083,525344,-1,-1,530168,-1,-1,-1,661221,773930,-1,560374,-1,418991,60274,572790,826303,401443,565383,-1,37288,-1,534378,454040,747413,-1,-1,548382,466125,-1,19581,-1,541571,-1,-1,-1,-1,-1,34205,-1,274179,283296,306826,-1,28877,401246,-1,-1,-1,419558,486444,481313,311287,170578,671170,186871,477775,422555,508508,94470,-1,-1,-1,-1,-1,452547,-1,518959,-1,-1,-1,-1,915745,-1,875941,-1,-1,-1,34402,525657,-1,-1,-1,845427,-1,4112,-1,-1,-1,-1,540826,442601,-1,949159,483609,963615,365019,893214,-1,587379,-1,226025,157298,-1,743974,386541,530579,-1,716656,-1,-1,637412,751278,-1,-1,509089,-1,-1,982545,-1,922471,-1,-1,756664,368305,-1,-1,370916,567137,-1,734745,-1,-1,-1,-1,-1,906566,-1,676612,-1,41365,720885,-1,-1,-1,879472,792279,-1,-1,-1,144940,-1,873318,52285,953558,775683,-1,-1,660390,519798,-1,553452,-1,307662,74513,126605,-1,-1,100866,90185,-1,-1,-1,-1,-1,944560,-1,963809,976985,970705,-1,-1,-1,242862,70093,-1,56053,725860,970597,-1,-1,314596,-1,-1,-1,-1,289888,-1,134343,-1,116071,956648,619953,110420,-1,-1,896316,-1,-1,-1,-1,-1,-1,-1,8277,706516,247353,743196,234565,-1,-1,-1,-1,-1,-1,754702,594752,791398,289881,-1,379889,45656,-1,18486,-1,731992,663374,797114,-1,-1,760196,826762,755642,-1,703792,-1,490709,709281,-1,427897,-1,-1,-1,552481,-1,284665,-1,-1,52989,388323,695510,417295,99699,755468,415676,309633,-1,-1,-1,-1,297596,-1,922638,-1,684527,-1,130894,304968,64042,287290,-1,132570,712193,591674,-1,316362,-1,-1,-1,-1,786335,79196,-1,-1,384808,-1,-1,930763,-1,-1,-1,457133,-1,-1,-1,17944,381422,199484,801032,-1,117953,-1,841831,-1,-1,-1,-1,-1,-1,554745,-1,-1,730487,752594,-1,143999,116313,-1,555990,930601,555891,-1,147820,-1,-1,788930,-1,557273,125575,332833,-1,766882,-1,-1,-1,188363,374233,161731,604953,680220,-1,-1,-1,904940,-1,868844,345073,-1,865712,46420,893190,-1,136398,-1,912154,-1,894809,780790,-1,-1,205007,-1,-1,98223,-1,-1,553390,-1,593796,974904,570916,-1,-1,160951,980325,2500,-1,-1,23663,358967,137714,456124,-1,-1,-1,-1,873967,-1,828892,757703,-1,98084,-1,-1,-1,-1,666721,519555,-1,738590,532824,-1,443436,-1,903366,-1,-1,-1,-1,-1,69907,951604,573534,126186,-1,-1,-1,-1,240362,205656,-1,947721,-1,-1,19414,154698,-1,153255,-1,-1,228957,-1,-1,914355,-1,-1,976557,-1,-1,-1,432548,-1,876763,938467,-1,-1,214129,269706,960066,-1,579640,-1,-1,-1,659243,-1,-1,785078,408729,555997,907035,583666,144904,314364,472947,718157,397801,191505,588786,876433,-1,372607,-1,189116,-1,815416,-1,-1,913016,918912,744099,790925,276563,-1,-1,-1,-1,-1,585408,508968,230977,848320,-1,657293,-1,925836,-1,-1,398262,-1,185560,-1,417853,-1,592858,801098,-1,243326,699644,-1,628968,843438,-1,-1,-1,-1,847304,-1,-1,-1,83275,551595,711287,76983,-1,-1,-1,977779,-1,371509,-1,-1,-1,-1,780829,-1,557656,-1,-1,341511,-1,585326,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,383322,141453,510535,-1,-1,488581,2039,-1,-1,-1,446847,680920,-1,-1,663333,-1,707777,440878,-1,-1,-1,323561,-1,651426,-1,-1,58479,-1,-1,973243,-1,-1,717766,693985,154982,231690,-1,-1,682416,-1,827653,-1,-1,883899,272364,870038,-1,414292,-1,-1,995655,606456,-1,-1,-1,233059,325277,625424,515379,997549,341495,-1,-1,-1,78167,30360,-1,878793,-1,-1,-1,-1,-1,639360,463030,-1,807456,560975,-1,699031,-1,-1,499224,485420,-1,632745,996435,624997,903253,687734,-1,35252,-1,-1,-1,-1,-1,-1,-1,-1,760430,939637,-1,-1,-1,799618,-1,-1,-1,-1,-1,-1,-1,373596,-1,924623,-1,-1,347786,352627,-1,-1,-1,-1,-1,242985,-1,-1,-1,-1,-1,-1,-1,-1,412563,-1,493715,-1,49652,-1,26674,360997,809615,727840,-1,-1,383936,-1,-1,-1,185860,459415,-1,479620,-1,949225,-1,803483,693585,-1,-1,398057,-1,121525,-1,559381,-1,703478,307623,-1,-1,-1,573684,-1,353578,-1,-1,-1,440212,-1,-1,884730,-1,-1,294699,613157,816833,-1,-1,-1,997853,-1,520780,85839,337134,-1,414801,349340,408131,-1,333565,598874,-1,-1,-1,381011,566814,-1,259932,-1,466972,-1,119462,-1,397897,-1,-1,277786,-1,-1,-1,59501,-1,-1,-1,767919,74576,-1,-1,559307,797979,444398,-1,-1,492922,-1,-1,367208,219463,851007,127995,-1,-1,947608,-1,714151,753341,122542,-1,-1,544959,-1,302750,-1,337550,588747,-1,455209,886434,674925,-1,422729,-1,-1,-1,885115,-1,40360,-1,338724,-1,140908,236676,-1,-1,-1,-1,557061,-1,274879,92382,-1,-1,-1,884075,121263,-1,-1,-1,255303,512407,-1,-1,-1,-1,-1,454235,800077,63967,-1,-1,-1,276270,-1,-1,-1,926820,851324,-1,229054,-1,7297,850314,-1,-1,773281,-1,918113,-1,865614,654982,-1,592828,48900,619640,-1,586995,809832,266605,-1,-1,-1,248305,-1,-1,44589,-1,560091,72738,-1,-1,536770,846135,707175,-1,724035,192451,407173,-1,-1,-1,-1,187385,985503,-1,-1,-1,665783,690385,202085,522577,-1,226033,78880,232046,489083,3020,868555,-1,-1,581007,931316,-1,-1,-1,111841,461622,492170,912873,-1,-1,640378,-1,764869,-1,308501,-1,-1,-1,-1,-1,-1,-1,726821,-1,-1,864716,-1,-1,-1,368471,-1,31224,-1,-1,-1,886158,609229,-1,-1,-1,368183,792239,-1,-1,-1,232429,-1,870683,591486,877984,750766,-1,-1,342169,945659,-1,16354,-1,-1,161707,-1,-1,-1,494179,-1,-1,867364,707393,-1,146212,-1,-1,-1,615200,-1,-1,485457,-1,579491,-1,-1,-1,-1,-1,-1,-1,151918,364702,14404,601376,-1,227466,-1,907002,920959,-1,-1,674822,292184,-1,908413,-1,483037,-1,534560,984810,-1,723944,513667,-1,516710,-1,676163,320444,219576,-1,146608,43863,-1,-1,416163,-1,-1,-1,633733,-1,715021,600830,-1,-1,232627,750635,580296,-1,-1,449503,294667,-1,421171,275134,605098,517593,-1,982887,-1,-1,241982,174976,856996,-1,-1,-1,170636,-1,107220,571498,-1,-1,533611,261073,589814,735339,-1,-1,-1,880125,-1,927539,161690,-1,-1,-1,487658,81875,-1,262582,789766,165456,834984,978346,462048,783716,-1,304902,476432,399425,-1,606551,797136,-1,117906,-1,758891,-1,292026,946920,450889,-1,390300,-1,-1,-1,-1,-1,636866,453573,-1,-1,435839,-1,791835,857084,557220,963644,698852,-1,-1,354278,-1,843472,196446,701999,-1,905446,731999,142288,670283,-1,726555,849079,-1,618560,926799,569872,-1,-1,-1,282592,606232,-1,661191,-1,-1,920394,698991,-1,-1,-1,-1,622937,869222,496360,-1,543317,258261,271855,-1,141626,-1,24229,-1,47376,-1,990029,725566,-1,-1,-1,-1,-1,586320,62995,-1,903439,503745,961995,912772,734479,310521,-1,-1,-1,-1,685725,441856,894288,-1,-1,465496,290087,587338,953171,-1,-1,-1,861585,-1,426695,-1,-1,-1,-1,-1,404948,937430,-1,985844,-1,608013,448764,369588,-1,-1,-1,108975,-1,-1,-1,-1,46311,-1,-1,-1,984916,-1,-1,424810,-1,-1,516522,-1,873742,682958,-1,-1,-1,-1,543585,-1,-1,-1,-1,996109,188821,887704,452533,-1,-1,254844,341020,724925,-1,509130,389105,527243,-1,-1,-1,-1,-1,-1,-1,-1,123136,-1,810860,660804,24365,822944,-1,-1,438338,-1,278302,-1,276420,-1,-1,273584,544180,-1,781417,-1,24960,78366,-1,-1,-1,-1,511599,178631,271112,-1,-1,733832,-1,-1,158924,-1,-1,-1,732707,-1,-1,464628,-1,-1,670,795724,-1,-1,-1,-1,13925,-1,971352,258484,535773,889017,574491,-1,-1,-1,-1,-1,653431,-1,840806,359884,-1,-1,-1,249725,-1,202701,111257,-1,-1,-1,459013,946900,-1,844245,-1,360544,-1,-1,-1,-1,-1,-1,185473,-1,-1,-1,-1,798876,-1,-1,95601,171167,-1,21056,-1,372830,985373,255017,156818,156123,981679,45641,-1,-1,264901,146856,10883,417054,893579,89384,366167,-1,809280,-1,511700,817879,630470,-1,-1,757936,706629,-1,-1,-1,377118,-1,82562,-1,672400,-1,273186,460445,295693,-1,736097,636936,32137,306758,243559,485585,-1,-1,-1,881683,-1,837963,945833,-1,-1,540725,-1,-1,-1,230755,75216,309580,-1,839901,-1,-1,631867,754305,-1,367013,538843,675613,-1,548416,-1,30618,414351,147635,433923,-1,898800,570312,503945,227190,518476,-1,-1,-1,-1,568050,450846,-1,370748,-1,-1,-1,451956,772733,909786,-1,766215,134122,-1,846951,512312,-1,598776,-1,-1,-1,211382,-1,359956,-1,532861,-1,-1,-1,-1,65531,194049,-1,-1,-1,-1,976069,80864,331051,-1,86279,542532,-1,-1,760641,550981,-1,818080,102820,-1,430793,637864,790713,849455,-1,-1,-1,404099,-1,856243,-1,995912,535938,-1,175600,268809,556321,-1,-1,-1,513385,-1,-1,310637,671810,683979,-1,-1,-1,-1,-1,-1,-1,737564,631785,-1,734270,482135,563183,-1,-1,-1,-1,-1,666788,401733,603808,-1,110151,-1,474615,807208,931975,90966,-1,237354,554275,-1,500604,344816,573281,-1,-1,76975,-1,-1,185041,-1,452152,-1,981467,910741,-1,361200,-1,405402,-1,-1,-1,409252,-1,-1,340589,-1,290287,-1,488159,858747,702092,26439,-1,-1,653587,330863,915732,-1,952336,47271,782203,90874,-1,280074,-1,54863,-1,756843,680818,149812,-1,815009,878907,-1,334985,-1,-1,55710,-1,-1,105725,444586,-1,349485,-1,-1,-1,-1,-1,-1,-1,-1,-1,718943,370172,112053,-1,-1,41768,-1,-1,791184,330284,21682,567562,191400,-1,286959,-1,-1,-1,-1,930862,-1,-1,-1,-1,-1,-1,-1,-1,426481,24504,-1,141003,460894,735103,831152,-1,-1,424841,-1,-1,444711,-1,675945,-1,-1,-1,258213,54484,706111,-1,-1,992453,4255,-1,-1,630269,829486,613943,-1,681043,-1,868446,-1,-1,982882,659108,-1,62512,45959,-1,-1,-1,456410,495071,-1,-1,72382,-1,-1,17224,-1,-1,474959,-1,-1,-1,-1,-1,461272,-1,232273,-1,635210,816368,-1,-1,-1,982431,-1,844808,-1,-1,-1,641627,-1,804814,71286,111013,344473,-1,79999,651764,-1,289720,-1,-1,-1,-1,-1,984344,-1,142565,836652,-1,-1,-1,-1,194562,-1,-1,604624,-1,513615,-1,-1,-1,959975,479506,-1,-1,-1,-1,-1,-1,-1,90767,-1,380788,-1,25409,29176,-1,-1,659979,982235,580005,-1,986689,-1,-1,175879,-1,-1,289971,-1,-1,-1,147503,531795,81481,-1,-1,195368,-1,982764,-1,-1,151810,-1,-1,-1,910787,-1,-1,317249,-1,-1,-1,-1,308541,-1,671347,-1,-1,766989,-1,303258,-1,497772,699144,-1,678504,802358,-1,366936,-1,-1,34196,-1,-1,-1,321509,958751,-1,-1,-1,-1,-1,615945,-1,-1,337930,35883,-1,-1,318235,-1,719463,187287,293550,788029,854880,741273,866589,-1,825970,620598,429781,-1,665044,-1,132931,42719,468602,582849,739912,545372,687046,943199,-1,647900,-1,334777,-1,-1,-1,-1,645967,907104,-1,997192,-1,-1,-1,978371,417802,76649,-1,-1,-1,-1,486428,343845,-1,682985,658959,213830,574563,661350,897435,-1,67148,-1,-1,-1,220026,-1,739333,-1,-1,486277,-1,177039,416863,-1,-1,-1,179005,80215,506166,-1,868605,40970,86081,-1,-1,41774,-1,-1,210600,305457,609010,-1,781074,115991,-1,868080,-1,539218,-1,-1,-1,621985,-1,-1,-1,-1,973944,507737,-1,-1,511217,-1,-1,-1,439719,-1,-1,-1,2036,992736,-1,-1,-1,-1,559047,174444,-1,37489,730813,762384,-1,472792,797445,904573,-1,277481,987138,-1,672028,476073,-1,-1,114242,-1,-1,-1,-1,661562,739979,245975,936264,-1,-1,378606,-1,-1,364058,-1,-1,96464,960416,561562,-1,701453,-1,-1,342731,-1,-1,-1,975574,-1,-1,-1,791693,575049,993236,-1,437233,-1,-1,983565,-1,886378,328958,841110,794263,-1,635698,616127,279982,814945,-1,-1,-1,668256,540276,923625,-1,-1,930008,-1,115841,442617,578075,74251,784366,678598,423866,-1,251611,155138,-1,708549,-1,-1,-1,-1,143834,-1,238227,29402,-1,800689,-1,-1,10708,531333,33563,769708,-1,909048,957531,26621,-1,516276,-1,-1,252271,820018,142488,-1,826360,-1,-1,-1,-1,947675,-1,-1,-1,-1,371502,80315,-1,-1,51736,-1,763735,-1,-1,-1,-1,364023,-1,-1,-1,-1,574403,-1,-1,411318,-1,966511,503492,-1,-1,144216,-1,600005,-1,-1,-1,393646,96507,-1,655034,-1,-1,-1,521652,-1,-1,-1,733664,130844,514323,408876,-1,-1,19232,172236,-1,4046,474156,-1,405130,722131,734388,-1,580344,-1,202538,673592,-1,-1,988865,-1,440168,-1,-1,179512,-1,34820,-1,135956,-1,-1,570705,555063,466413,-1,-1,-1,240280,111597,-1,10875,896541,-1,-1,-1,19869,898473,184317,-1,308772,-1,-1,408870,-1,-1,221703,-1,689364,32691,-1,-1,178245,422163,784297,-1,-1,987332,-1,712772,655154,149705,820032,743070,326703,-1,-1,-1,981047,-1,-1,144432,-1,352944,-1,-1,372734,-1,902653,-1,-1,-1,-1,419371,223920,990050,-1,987605,-1,-1,536287,910175,340494,-1,-1,609152,712625,138261,129539,565872,473285,-1,-1,60940,-1,-1,797375,-1,114090,506644,-1,294252,834469,975241,-1,331088,445092,829148,-1,938713,912641,875592,899121,-1,-1,558469,314718,-1,-1,614131,452620,604628,975035,-1,-1,617488,-1,684167,136899,-1,-1,18590,-1,111675,-1,401964,-1,95845,106077,-1,633289,794504,-1,34194,313209,506996,-1,278441,265360,-1,386876,554496,359929,-1,672970,-1,-1,-1,793204,31525,944291,673491,-1,894251,-1,-1,-1,-1,456742,392771,366888,-1,182561,653398,-1,-1,-1,629832,-1,-1,-1,495426,819189,-1,201090,-1,-1,-1,-1,73887,-1,350603,202216,-1,-1,-1,113040,-1,-1,-1,624784,737085,-1,-1,728332,370820,-1,-1,652737,718118,-1,-1,-1,780247,-1,-1,-1,324549,871103,652967,189729,-1,-1,365736,-1,-1,112299,-1,507870,589050,-1,-1,633279,-1,451240,848233,-1,436869,787651,738777,-1,796644,132086,-1,46355,-1,-1,-1,-1,-1,-1,325418,-1,864810,-1,-1,-1,503127,123747,425688,-1,567827,-1,-1,-1,956175,-1,-1,670349,871316,-1,-1,172092,376788,-1,850768,618088,-1,-1,836654,-1,185179,668253,-1,-1,334406,-1,-1,-1,-1,-1,-1,-1,793745,294622,747458,751426,-1,80039,465932,-1,654414,-1,824467,-1,-1,-1,953719,733137,889496,919221,-1,-1,409424,791140,417854,-1,752489,393613,-1,430815,-1,-1,174098,-1,173216,-1,869155,139205,126246,-1,227798,67189,-1,-1,-1,63726,264722,806618,-1,-1,213786,663044,-1,-1,-1,104236,767485,159058,-1,-1,-1,842682,-1,-1,644467,194466,-1,-1,154722,-1,694080,966943,-1,-1,829408,-1,-1,99991,418709,-1,280862,724357,-1,914809,623157,584127,817617,-1,176514,891097,308911,791583,-1,-1,681593,46798,54387,581850,258515,-1,180629,330992,725773,264349,-1,66357,793423,-1,-1,-1,-1,-1,-1,-1,804302,850131,-1,561272,-1,-1,86535,880669,521011,-1,-1,-1,-1,-1,-1,91710,272675,-1,-1,29461,78930,-1,657529,543854,289705,-1,458372,-1,-1,832476,-1,-1,-1,-1,64493,668747,-1,480505,877638,-1,370016,736485,-1,457879,208775,-1,209110,144686,-1,-1,361885,-1,164937,-1,-1,598543,-1,-1,-1,703673,-1,-1,-1,225229,371226,-1,-1,-1,433755,731146,-1,-1,-1,-1,814034,508191,354816,890169,-1,-1,385058,332439,262395,788623,-1,680607,549037,-1,-1,-1,23196,-1,620580,-1,-1,961190,536207,531821,348961,175912,570809,-1,44875,412611,-1,-1,693050,-1,-1,480413,336434,-1,-1,772350,637815,-1,-1,-1,344230,440700,952376,-1,752894,-1,180288,-1,-1,565336,-1,746024,38290,442640,404554,230402,39381,-1,-1,-1,-1,-1,476400,12079,-1,535538,140099,-1,506503,-1,173067,-1,-1,545539,-1,115548,634047,245201,538233,-1,551283,741116,485166,-1,-1,-1,491177,473889,10483,359258,-1,-1,482620,54027,747690,-1,983605,-1,727681,742492,-1,452789,-1,-1,949556,245061,-1,-1,149867,878496,888714,-1,-1,322870,-1,743582,491458,-1,435061,-1,-1,-1,112781,-1,363157,-1,-1,982759,-1,41678,-1,-1,730698,788297,-1,452844,168162,183385,354752,-1,-1,-1,-1,-1,890323,197505,-1,777835,856950,530486,160603,-1,836824,-1,910963,-1,-1,-1,-1,-1,315100,-1,-1,-1,77620,352797,619536,879551,615166,-1,808515,-1,14763,-1,-1,-1,-1,948875,-1,-1,378669,2646,-1,-1,531509,-1,402122,138400,-1,242559,-1,-1,-1,954270,567479,-1,-1,197843,-1,108609,-1,181429,-1,-1,-1,-1,258448,-1,-1,200351,-1,219599,993515,-1,823227,-1,809175,698336,833437,565413,287651,-1,-1,897790,600592,-1,158942,-1,-1,630354,770244,10184,774936,505169,568462,983338,-1,977479,-1,697468,-1,-1,-1,422208,-1,980939,924680,-1,485554,-1,-1,36008,-1,-1,-1,934765,-1,-1,-1,304888,372135,796959,716877,-1,131546,353251,671731,709126,37481,874307,-1,122111,120220,132088,-1,-1,930195,359868,-1,-1,460312,359083,811781,-1,-1,-1,6942,313954,-1,-1,971744,-1,-1,-1,95682,897615,-1,-1,-1,195490,-1,441174,14164,150489,297585,428665,939817,40711,424047,489478,581593,220269,-1,595614,805167,124616,326275,-1,657838,341637,-1,523776,955062,588541,721732,-1,-1,-1,-1,-1,815525,831165,277558,-1,-1,-1,473305,766685,-1,-1,-1,-1,925697,-1,-1,-1,337622,-1,-1,257438,-1,-1,90390,840342,804862,-1,-1,-1,912886,732001,-1,-1,521130,528050,-1,-1,377349,418721,-1,354738,801351,667835,-1,51822,-1,228458,474438,54943,398771,973702,-1,791806,254409,-1,-1,-1,-1,606666,42791,256385,-1,-1,802731,-1,52557,-1,158387,774621,-1,-1,-1,381659,-1,499505,-1,712129,644489,-1,-1,811139,584453,508894,-1,963959,-1,-1,-1,98089,526106,-1,-1,-1,828187,583859,-1,-1,-1,123972,-1,-1,-1,-1,-1,-1,884256,467928,410957,-1,370751,84417,-1,-1,-1,-1,922987,-1,-1,261191,-1,-1,-1,82251,288432,549004,-1,811617,-1,143326,-1,617769,-1,573181,228168,141302,837376,393210,744427,43162,-1,-1,-1,87261,-1,-1,144996,-1,861157,722178,-1,441416,-1,400708,575629,-1,26185,484024,126273,-1,-1,-1,159491,-1,395717,-1,48023,-1,634033,-1,-1,707771,547206,-1,894636,902954,-1,-1,431239,-1,966170,-1,239270,979616,-1,705866,282895,994714,-1,58975,-1,-1,993550,-1,-1,-1,-1,25571,641338,414012,-1,-1,-1,253180,-1,-1,-1,583329,411384,910901,-1,-1,-1,681160,-1,-1,-1,-1,650878,-1,828162,321181,575348,-1,-1,-1,583334,-1,738955,546711,-1,-1,980827,553666,693713,256360,-1,-1,54357,897647,973948,-1,-1,418755,535580,868740,263732,268398,-1,537733,15209,465009,324962,-1,-1,385696,52362,-1,-1,113764,-1,-1,-1,-1,-1,-1,-1,261030,-1,453911,620055,67940,-1,-1,193446,-1,608403,510939,-1,490074,-1,-1,620566,518746,757711,-1,313419,593839,-1,229649,295179,-1,-1,-1,-1,-1,-1,89656,937346,-1,686117,-1,541617,-1,49711,-1,-1,-1,-1,228983,345335,776770,-1,368484,758064,-1,497125,588589,-1,522923,624138,-1,-1,-1,-1,38580,568960,-1,-1,354175,792547,-1,862159,81644,556,-1,923743,-1,-1,444641,99526,317233,-1,-1,963455,-1,-1,-1,-1,-1,-1,419561,-1,-1,-1,877863,267038,99656,-1,981494,-1,729543,-1,-1,534822,-1,-1,-1,630534,-1,-1,172618,757395,435012,965727,449976,-1,406193,877085,-1,75123,-1,-1,-1,754135,-1,878653,-1,567467,102740,-1,963519,899360,226643,-1,-1,-1,-1,-1,576053,-1,-1,515133,441166,-1,-1,-1,-1,335077,93388,-1,231365,-1,-1,886469,345263,137,975413,-1,624221,956257,-1,-1,45808,-1,-1,-1,450043,-1,339877,290758,-1,246630,632226,-1,-1,796171,-1,-1,-1,902894,338775,-1,-1,-1,912075,107760,876489,112947,-1,-1,-1,910722,-1,97359,652710,694132,-1,366017,353662,303472,518083,-1,176608,828992,244396,88028,849027,303566,-1,-1,-1,-1,-1,-1,-1,20779,876420,-1,-1,-1,-1,245208,75542,200953,260170,984226,847896,561424,-1,691598,546898,40585,-1,667048,891595,96710,956196,-1,464369,-1,-1,554410,194009,-1,-1,4929,-1,-1,669855,-1,-1,849596,-1,-1,-1,492917,156131,877783,504379,-1,984921,-1,222147,-1,300982,-1,485468,301984,43395,-1,-1,156223,218335,561768,568814,264958,-1,553984,-1,246933,882095,691921,6895,787215,871243,-1,126555,392474,258622,466812,-1,-1,220660,-1,523334,-1,-1,-1,48364,204796,251301,838504,-1,-1,460577,-1,955928,770982,798715,-1,-1,-1,226451,375102,35529,51731,-1,547436,629653,935571,-1,-1,-1,-1,-1,311078,571066,448871,-1,604358,-1,-1,541251,405033,-1,-1,978164,569639,442560,-1,235769,-1,-1,-1,449574,-1,-1,-1,579528,-1,804612,768932,711398,-1,-1,703017,-1,-1,-1,-1,-1,-1,59229,-1,121463,459613,-1,-1,350416,-1,697929,680951,-1,-1,537966,-1,-1,730762,-1,357046,836137,-1,-1,169674,889282,464055,221207,-1,-1,-1,383264,653990,618709,-1,-1,402981,-1,401280,346019,369824,-1,626614,679780,-1,-1,-1,-1,-1,-1,-1,-1,226069,-1,59183,152138,-1,286952,-1,-1,-1,340249,737031,-1,627433,966176,-1,187029,-1,895863,375566,-1,-1,199842,-1,-1,-1,355249,-1,885514,-1,297843,-1,933467,711177,104336,750417,899967,-1,-1,131711,401299,308765,184634,-1,668933,-1,-1,161057,-1,-1,-1,802494,74982,-1,-1,783748,-1,321601,109548,-1,918166,-1,-1,-1,786656,-1,355891,612835,-1,393406,-1,656234,-1,-1,-1,7353,397903,48765,941832,828909,-1,342026,-1,-1,700882,169729,-1,-1,646200,531656,-1,-1,-1,-1,-1,-1,328465,323639,615275,-1,-1,405147,437567,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,449442,-1,245295,-1,-1,738617,590999,-1,-1,585625,-1,770771,446213,894743,154635,239062,490902,-1,382896,668163,-1,645874,562789,348045,-1,195219,-1,616066,227647,510054,-1,-1,-1,102752,741848,-1,-1,-1,185574,-1,-1,-1,-1,704193,-1,-1,-1,907494,500045,932959,128695,56965,907961,-1,-1,297939,971579,-1,397774,-1,-1,461409,-1,-1,-1,918922,-1,651801,-1,115249,-1,268189,329282,-1,-1,942562,-1,-1,-1,-1,-1,-1,779258,667946,-1,583449,680069,-1,-1,-1,-1,218880,-1,689679,347657,-1,483434,512763,408691,-1,748051,-1,-1,-1,213315,495465,786828,-1,-1,993109,-1,-1,17470,-1,270033,-1,490475,-1,240135,-1,-1,312703,374643,-1,-1,231755,-1,-1,-1,883230,573658,999802,-1,909062,-1,530916,428205,81226,-1,965706,-1,-1,161904,-1,957787,-1,70557,-1,643313,127841,-1,893099,872809,-1,-1,627120,-1,-1,-1,751423,777958,889153,-1,-1,717029,-1,561264,643243,-1,-1,-1,913546,682598,524384,-1,658724,631512,816052,-1,679924,-1,-1,842445,951746,-1,689302,-1,478804,481164,179090,810203,-1,993181,525262,476107,233759,-1,-1,-1,551907,-1,64248,240969,-1,672604,-1,674387,-1,277341,-1,146766,-1,252041,209062,-1,804381,-1,83506,-1,972991,-1,-1,-1,842395,553283,-1,755799,-1,-1,-1,-1,-1,726488,585908,-1,730285,-1,-1,-1,-1,-1,-1,729302,-1,876975,145972,-1,-1,203566,-1,921495,-1,-1,366116,-1,-1,655202,186266,551781,-1,-1,-1,961851,736321,-1,704296,-1,104477,215903,463731,613096,679826,-1,108494,486342,964785,641965,-1,-1,139876,640165,160208,-1,835775,449491,-1,-1,562687,-1,933262,13851,812066,370066,-1,-1,-1,136563,175949,-1,739936,816837,-1,-1,-1,785922,219201,165594,481517,-1,-1,-1,725597,450625,-1,-1,-1,-1,68689,628989,-1,-1,178078,328647,150724,-1,109056,721676,331825,848475,-1,-1,589924,574614,606402,-1,412002,699503,-1,387285,-1,940943,281023,-1,-1,-1,799202,-1,-1,420662,998540,31521,-1,382192,-1,-1,-1,398993,-1,354048,608644,10746,-1,183999,-1,384118,417499,-1,481044,174230,525632,-1,466428,-1,937212,-1,-1,202152,180284,-1,-1,-1,-1,-1,-1,612578,156453,301288,114463,-1,-1,426915,471036,-1,-1,493484,-1,372847,-1,-1,-1,-1,398330,596988,787418,-1,-1,-1,556764,406182,682826,748939,-1,-1,815888,-1,-1,16982,-1,421388,4702,-1,-1,-1,-1,409238,321646,514344,588061,12601,-1,-1,-1,556220,-1,-1,-1,-1,-1,245699,-1,366846,-1,279506,-1,504895,-1,-1,438247,-1,397017,-1,292159,958173,-1,-1,704679,119203,760191,565234,-1,8224,25138,-1,-1,727324,942851,904664,-1,-1,-1,756636,188721,-1,639872,84319,903686,648229,-1,521733,979588,744236,-1,-1,-1,-1,-1,616080,-1,-1,-1,-1,-1,844718,850586,330821,-1,787022,998194,-1,-1,-1,-1,-1,189418,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,267078,282980,745778,-1,419844,921064,-1,-1,615982,-1,-1,-1,203081,-1,174176,19121,444119,-1,-1,-1,599194,952040,-1,920704,-1,492336,215606,-1,-1,-1,384929,87962,-1,-1,-1,-1,-1,-1,-1,580105,247003,641331,420928,-1,35006,-1,-1,488625,654356,196187,253431,986960,-1,447859,17149,-1,554650,-1,-1,-1,-1,-1,-1,-1,68761,-1,-1,131094,-1,-1,646736,519430,-1,-1,83844,362358,-1,761470,554403,414966,-1,-1,935194,617751,722946,413635,-1,208174,-1,-1,-1,532711,125673,-1,-1,929402,472655,917204,504888,890874,-1,-1,-1,816028,474144,-1,-1,-1,662213,971228,968339,969857,121979,-1,-1,-1,169595,-1,172509,648623,390315,592419,-1,572778,322613,-1,-1,-1,934309,-1,-1,-1,560093,737842,215418,-1,-1,109477,824127,-1,-1,533168,-1,645299,878982,915243,-1,-1,703218,406458,182539,-1,-1,-1,159425,-1,-1,926124,120692,-1,-1,726786,-1,-1,-1,167584,763133,-1,-1,101338,656897,-1,-1,134707,-1,-1,-1,-1,314458,-1,419074,-1,83612,351308,-1,71050,-1,246461,310079,885642,-1,-1,-1,-1,852946,-1,620777,506387,-1,267437,-1,-1,-1,2368,867306,-1,761130,418360,-1,-1,-1,922607,864419,-1,-1,-1,748491,-1,-1,-1,-1,457078,970863,-1,-1,-1,905301,432094,274107,-1,-1,-1,19811,-1,-1,757076,-1,-1,-1,883173,204959,-1,227378,35729,2861,485599,832716,-1,-1,483985,-1,203585,818368,-1,-1,261977,-1,505763,-1,-1,160033,479941,54046,-1,686109,-1,-1,-1,-1,372760,-1,89753,-1,538221,418307,-1,-1,-1,42744,-1,803680,827147,-1,-1,-1,-1,-1,631255,-1,-1,-1,-1,-1,568287,-1,-1,-1,430361,979698,-1,-1,858948,237475,-1,-1,-1,813811,626392,521806,436578,35208,-1,-1,-1,166525,607297,187432,686864,451342,-1,882689,665298,-1,-1,502930,-1,-1,-1,198178,518221,-1,950836,455301,-1,883987,365380,-1,-1,-1,595130,14997,255148,752202,777221,-1,-1,675588,663361,742145,-1,733395,89197,594126,-1,812120,-1,546996,-1,49630,989239,-1,330490,434801,-1,379847,-1,231094,-1,6545,682513,894666,354700,432071,-1,551801,-1,-1,451520,-1,-1,-1,-1,119076,-1,345738,529384,-1,-1,-1,-1,-1,512366,502473,255644,199231,528607,-1,451646,-1,-1,-1,77484,-1,161452,856338,59750,388664,890366,-1,-1,-1,270312,-1,362254,756149,88188,-1,871071,-1,635732,199447,-1,-1,-1,-1,-1,90774,223740,516697,324313,-1,-1,-1,212038,-1,-1,269601,-1,122275,673581,245816,-1,-1,230451,420345,-1,-1,-1,625830,-1,-1,-1,-1,-1,-1,578077,-1,897160,-1,223418,-1,156673,-1,32787,-1,-1,513406,-1,457690,122032,506697,-1,286845,-1,-1,727795,-1,-1,33462,-1,84103,-1,-1,-1,808399,114438,596296,-1,575922,-1,384920,120891,78725,-1,707964,446627,-1,690323,481282,64304,634967,-1,939167,717588,-1,890610,-1,462118,570213,-1,-1,-1,445262,-1,136979,-1,-1,-1,-1,993538,377230,417465,274384,916308,-1,639481,417883,519566,-1,-1,-1,-1,-1,777630,632609,-1,-1,695479,-1,830757,50148,926337,358177,-1,672095,-1,-1,640277,833312,-1,-1,-1,204536,643680,285788,-1,-1,338715,810981,686745,361544,720148,-1,-1,-1,-1,-1,-1,690425,-1,864060,-1,-1,-1,216445,412207,1573,-1,60466,-1,-1,632089,-1,-1,776756,-1,-1,549346,-1,571527,687862,142236,477100,421865,-1,-1,923538,-1,530650,-1,193110,-1,125126,897990,-1,-1,370190,-1,889948,907620,-1,507701,-1,-1,186196,361966,860544,884877,772062,445113,-1,561260,-1,-1,-1,435196,917162,-1,-1,98869,987710,-1,-1,995614,119721,-1,482212,-1,-1,893377,-1,526474,822845,207986,517489,-1,-1,-1,977189,365416,-1,-1,-1,-1,447160,754656,-1,-1,715707,-1,-1,958438,122881,507223,-1,-1,-1,107909,-1,-1,274721,-1,15947,-1,657472,799745,631078,-1,592490,726028,32378,-1,306387,-1,940080,-1,-1,-1,392056,868530,-1,-1,-1,841338,37322,-1,660507,986203,13615,243404,-1,-1,-1,-1,766991,752578,-1,-1,568984,-1,192574,-1,-1,909656,-1,-1,728811,-1,-1,-1,382128,-1,-1,993397,-1,-1,-1,434482,-1,-1,13479,-1,-1,994944,829200,-1,-1,222590,484200,-1,-1,-1,790656,244370,104325,-1,-1,-1,-1,789188,-1,769131,60995,915789,568175,912333,-1,-1,-1,-1,844632,-1,690091,-1,-1,366577,-1,-1,-1,-1,-1,-1,-1,312096,706932,613608,-1,-1,363009,389676,-1,319476,415121,423468,-1,-1,-1,-1,-1,858731,-1,898296,750934,-1,697109,985015,175392,768666,-1,-1,587250,986606,71503,-1,927545,-1,-1,704334,970997,144834,211614,103238,79422,-1,-1,-1,-1,-1,-1,634638,233452,-1,385856,481071,-1,-1,-1,2476,558430,-1,-1,-1,40063,105522,345586,-1,-1,-1,-1,-1,-1,915180,113867,139287,-1,-1,-1,220284,449499,-1,117064,-1,988559,756303,992222,-1,808889,-1,329011,-1,-1,-1,-1,-1,866549,-1,926890,603895,876959,848260,722814,-1,273727,185526,-1,291059,421146,47703,480316,989326,-1,28624,-1,427300,812996,332360,440294,-1,292429,202460,896149,111966,-1,-1,317485,725037,-1,-1,362476,-1,518949,600739,-1,-1,413366,776961,963716,-1,422374,-1,-1,-1,307245,-1,283600,-1,-1,925247,24292,314402,-1,-1,390711,7239,-1,-1,11081,-1,417261,-1,-1,-1,-1,192467,877542,-1,-1,-1,467332,-1,297198,-1,-1,104303,300596,-1,145393,-1,-1,300542,-1,862549,-1,-1,-1,248965,-1,-1,989481,611031,864344,713327,507957,-1,948613,-1,391237,962793,-1,14042,207764,232855,544755,-1,602381,301527,-1,-1,204197,-1,-1,548965,-1,-1,-1,-1,580847,-1,-1,-1,-1,-1,838704,-1,-1,947172,-1,-1,-1,619210,-1,-1,-1,102049,-1,-1,-1,133116,-1,367984,407864,109939,537948,604114,-1,986398,675267,210698,-1,461817,718125,826761,-1,108712,710560,-1,-1,724624,792018,-1,113324,-1,-1,436982,-1,702265,-1,985138,-1,143956,812186,-1,-1,-1,132284,593071,-1,205501,-1,-1,-1,282680,-1,959961,-1,-1,445947,401079,740942,68246,768632,-1,783998,-1,-1,-1,-1,117399,370347,627467,978968,209868,-1,-1,326868,122209,-1,-1,-1,815810,115851,-1,858525,914945,214693,-1,718216,-1,363148,-1,248853,-1,-1,230901,-1,195367,-1,620672,568805,61276,976803,792105,359542,314673,204717,40577,530690,-1,842505,711838,-1,750687,447557,982619,14939,127616,-1,-1,481548,-1,-1,424762,-1,277476,-1,674359,236605,-1,351310,7676,389724,-1,-1,-1,291110,-1,-1,788391,768399,896366,-1,-1,-1,741121,-1,-1,425600,687003,526615,916048,843118,679283,-1,604603,383211,409645,679822,842774,821193,-1,-1,638267,88647,-1,551626,-1,-1,708362,378077,560694,295348,934445,-1,-1,-1,244342,-1,670166,-1,213073,-1,63078,875653,933344,-1,865628,898102,555810,-1,-1,-1,533138,640673,304639,-1,-1,369947,524978,-1,-1,160003,545839,839077,-1,-1,-1,546714,361572,-1,219446,364674,658657,805819,-1,-1,-1,471538,-1,633385,-1,803877,984052,77586,-1,-1,-1,786799,-1,557991,868753,350634,-1,-1,775010,-1,661390,-1,230824,-1,450783,120438,924399,526824,660419,-1,-1,516906,673520,-1,974587,-1,235465,928541,303269,-1,653848,427986,516891,49745,161103,754127,-1,322063,-1,51867,-1,-1,783191,-1,-1,802204,-1,-1,932731,425099,-1,-1,211691,798048,-1,-1,-1,-1,-1,419045,538877,68573,-1,459671,-1,851786,-1,-1,-1,534293,-1,69817,26999,-1,-1,-1,-1,85045,-1,-1,-1,-1,990023,-1,-1,-1,-1,380748,954350,363464,-1,-1,-1,-1,-1,128206,271217,319428,51350,-1,-1,677784,-1,900666,51629,612288,-1,436947,349159,-1,-1,-1,103723,180652,-1,-1,285043,-1,-1,-1,163660,-1,-1,423656,-1,-1,-1,-1,547284,-1,130715,-1,628384,433642,-1,884675,-1,952947,-1,-1,-1,464147,409923,-1,100545,154839,-1,-1,-1,282804,740745,-1,305393,-1,-1,739007,-1,-1,356287,495599,-1,904494,217798,899033,-1,-1,396840,-1,838219,-1,-1,-1,-1,-1,-1,-1,295973,302330,-1,378528,-1,270742,-1,-1,-1,-1,744445,815509,951083,3873,-1,-1,517024,-1,-1,278913,223082,-1,861199,-1,-1,-1,-1,-1,-1,-1,-1,172781,-1,-1,-1,258523,-1,-1,-1,144344,-1,-1,-1,-1,89954,-1,644888,521935,340464,250687,828003,89391,17122,338218,869489,679660,138669,758051,767189,-1,-1,255312,668391,615011,-1,186659,903711,-1,176323,-1,706340,386311,67555,861594,741780,824560,-1,-1,-1,639931,-1,-1,-1,-1,885740,84958,-1,950385,184538,-1,532864,-1,-1,-1,-1,301536,-1,735885,893681,-1,286990,748157,628681,785182,546344,9777,225396,-1,-1,55298,549152,-1,-1,163093,156831,-1,487335,171351,170242,203516,48393,-1,-1,-1,556615,-1,-1,-1,-1,-1,-1,820921,-1,-1,-1,99655,-1,543836,499999,837048,-1,316814,-1,261775,-1,-1,-1,-1,788027,-1,436677,-1,1789,911996,-1,-1,-1,-1,464763,358626,806902,196741,-1,-1,-1,-1,-1,346449,-1,-1,764089,666817,313129,-1,-1,897326,162799,949043,231234,254583,926773,610644,796108,-1,-1,105100,748191,964078,926026,984361,150493,969084,-1,795331,-1,432092,194993,-1,505529,-1,-1,864110,931185,-1,-1,697279,745110,666398,-1,-1,325465,-1,-1,49894,-1,496714,980622,-1,-1,340566,942655,869096,278332,866840,219625,795913,14814,-1,-1,-1,-1,-1,684175,954107,-1,421007,-1,-1,997882,-1,937549,652215,53532,827704,-1,-1,419732,392068,668225,271144,224626,-1,-1,176416,643520,436658,-1,533946,274930,535204,664215,285612,121893,270140,-1,39878,164585,319186,-1,396113,51334,450490,312863,345912,-1,555742,-1,-1,851818,100481,482880,-1,638079,384112,252786,78897,-1,489588,-1,-1,-1,294820,664002,815487,-1,-1,337237,-1,-1,-1,-1,-1,-1,-1,-1,659603,-1,349641,-1,-1,188724,560472,-1,-1,483884,719291,-1,486536,582116,-1,-1,-1,-1,421098,-1,323075,120170,-1,-1,-1,-1,956802,232488,-1,-1,112949,-1,-1,59669,-1,852011,425209,-1,206396,-1,681674,140918,506271,-1,54809,84640,965008,-1,-1,-1,347968,-1,-1,165452,-1,-1,147634,743217,-1,329860,585028,978722,-1,-1,650407,-1,957529,233372,-1,-1,-1,-1,482993,-1,40867,989653,893878,256321,-1,591974,-1,873853,224875,781469,545517,503152,20830,357521,842110,210379,902129,977234,-1,-1,-1,396987,-1,-1,145504,246185,-1,198253,506836,-1,305260,-1,-1,-1,13310,777583,596649,-1,968194,-1,378339,463928,-1,559740,-1,9473,-1,-1,322055,-1,545264,403315,684549,486930,-1,200548,614047,386924,-1,628449,-1,461094,950587,-1,-1,-1,332676,482892,-1,28054,474789,663892,486483,-1,-1,-1,688218,-1,179536,-1,417075,820377,655094,609135,317155,51039,-1,-1,519238,-1,-1,-1,-1,208272,756152,-1,-1,935761,992118,297082,554918,991019,-1,690111,996147,270431,599728,-1,472998,-1,-1,-1,-1,801725,-1,-1,456065,830307,-1,695693,608634,367600,-1,20327,-1,-1,-1,786585,142073,242282,147858,914609,-1,570178,845207,120885,4864,182279,785228,229352,-1,-1,107383,233831,-1,827705,491648,-1,-1,965849,-1,-1,164549,-1,238567,-1,824495,650839,-1,-1,113139,-1,980752,-1,798872,-1,339993,842231,425105,-1,-1,-1,692629,89856,132913,59025,-1,-1,918069,-1,-1,228442,275792,107081,787580,-1,-1,-1,-1,-1,-1,-1,-1,302134,264763,684985,-1,-1,663458,382365,895997,-1,151604,-1,82858,681017,-1,-1,-1,95296,304083,-1,-1,-1,230529,137282,786930,483067,-1,918015,684495,-1,641653,-1,-1,-1,620790,280820,-1,463814,-1,885161,701480,-1,519945,-1,-1,592862,-1,-1,840990,169870,-1,-1,786262,605560,600524,815640,861642,-1,350802,936463,330901,-1,527914,980608,868643,8336,-1,-1,313120,609350,-1,-1,270839,-1,-1,-1,-1,640243,-1,595585,824757,-1,-1,-1,945711,-1,-1,727683,-1,294522,-1,-1,-1,-1,370588,-1,-1,125328,-1,932071,-1,83877,-1,-1,-1,834124,751783,-1,-1,706465,-1,178187,452364,219161,-1,-1,646425,10311,-1,698910,-1,-1,859,818230,-1,-1,-1,667752,178764,-1,638892,-1,534310,-1,-1,848107,-1,687421,-1,632920,-1,-1,-1,718573,-1,-1,-1,-1,317103,226778,485615,-1,-1,145080,-1,426789,-1,-1,-1,-1,328352,-1,394959,-1,-1,785184,-1,-1,-1,-1,506380,299269,-1,492124,-1,-1,798548,-1,-1,-1,681129,-1,-1,345190,979472,-1,222429,225613,-1,-1,448109,-1,-1,29916,977589,-1,910873,-1,447620,-1,259261,-1,-1,589673,-1,996178,-1,499850,431656,568561,-1,978908,470454,218635,-1,274519,-1,-1,-1,-1,-1,138249,266182,-1,-1,-1,-1,-1,956803,677507,154988,-1,974175,251716,-1,317466,-1,456698,257629,-1,671745,-1,-1,518919,648546,916929,-1,-1,320889,85438,758937,366717,70716,-1,359115,798984,-1,-1,-1,-1,284455,-1,215898,-1,673609,786795,-1,-1,-1,553550,-1,-1,625872,-1,-1,778718,-1,468181,547376,35954,-1,370559,-1,558941,-1,-1,-1,196795,-1,740758,349475,-1,758773,174569,-1,-1,-1,-1,-1,-1,634219,-1,826422,840909,-1,705792,648200,-1,520379,-1,343311,-1,593657,169425,190752,849042,202321,-1,-1,-1,799257,316599,793038,-1,582579,502837,-1,-1,-1,-1,379649,56276,981519,770703,-1,-1,-1,1115,-1,-1,-1,-1,-1,-1,393520,135580,557848,649106,-1,209719,-1,600974,-1,357620,455989,-1,-1,272944,-1,97481,83296,-1,-1,-1,374811,-1,-1,79349,-1,-1,760246,996835,196097,211156,702323,-1,-1,-1,393731,-1,-1,779586,-1,120592,101075,331559,-1,-1,-1,300024,-1,-1,149777,-1,700377,-1,-1,896752,-1,559198,-1,258358,-1,-1,-1,528427,748746,536691,46432,629092,99264,192502,-1,-1,204420,-1,-1,-1,-1,-1,-1,883853,910188,392751,356119,209397,871063,80872,452935,437216,113951,-1,-1,-1,580079,-1,-1,638228,-1,-1,-1,10509,-1,-1,-1,-1,-1,240702,-1,312604,212973,-1,320737,109295,-1,157705,470359,249541,-1,735680,-1,-1,906022,559229,-1,-1,-1,270922,729139,228664,520764,-1,-1,-1,-1,-1,604458,-1,809393,989931,999102,-1,736160,-1,502110,-1,891685,-1,166161,13101,180884,-1,899354,-1,-1,-1,66155,-1,954913,422964,977321,-1,520790,-1,-1,-1,-1,-1,449264,761636,-1,-1,679612,-1,851395,-1,295974,-1,-1,800476,651627,-1,-1,225018,202071,-1,341746,633863,-1,266787,623340,496301,-1,676987,864763,-1,510819,987526,192385,-1,-1,-1,-1,181464,-1,-1,988065,-1,-1,-1,-1,-1,-1,-1,-1,-1,786851,-1,820481,-1,-1,955171,-1,270108,-1,-1,-1,71127,-1,833263,445783,-1,256156,-1,-1,500518,-1,697902,952728,328960,833241,826976,263079,-1,319325,-1,-1,-1,525167,833418,-1,755891,-1,233197,947968,691984,314603,833874,-1,461024,-1,-1,327386,-1,-1,-1,426823,-1,-1,-1,788668,-1,-1,265564,-1,-1,348117,-1,-1,-1,106910,-1,380384,-1,-1,-1,-1,106434,-1,564179,893373,-1,-1,-1,73505,492833,-1,262030,817629,-1,-1,-1,229621,599621,-1,246906,-1,-1,704565,-1,-1,-1,-1,-1,993357,198762,-1,-1,554401,-1,917570,-1,-1,663756,-1,-1,703062,605439,438453,-1,312487,204665,689898,-1,129782,603215,725356,539214,-1,-1,183504,795258,-1,-1,-1,494000,367905,-1,-1,693605,-1,477565,141493,-1,449873,-1,-1,-1,-1,582152,414017,557499,-1,-1,-1,-1,-1,-1,-1,602217,382235,170129,138408,-1,-1,-1,536122,-1,147727,924439,584463,-1,-1,-1,901741,918541,472171,-1,-1,587123,-1,-1,-1,-1,-1,-1,-1,-1,797137,-1,211790,502870,-1,134935,57694,721445,408781,959795,-1,588881,858555,443300,927152,313599,305314,-1,-1,215445,-1,-1,591810,-1,497868,451391,620937,367965,-1,74435,-1,918742,-1,170334,-1,-1,-1,933876,-1,797516,-1,990629,-1,943515,714109,-1,-1,-1,685781,-1,331974,-1,637943,335207,514819,-1,123447,658541,776692,834165,-1,535208,-1,-1,120995,859241,-1,-1,262730,-1,616550,381753,-1,653637,-1,765125,821200,-1,62681,816798,57922,682564,725104,218976,-1,-1,-1,-1,-1,-1,-1,-1,799029,-1,104384,-1,-1,291427,-1,816312,464453,-1,876306,-1,-1,338110,990770,-1,107038,-1,63975,581049,-1,-1,479295,-1,-1,-1,-1,-1,-1,-1,234797,442103,935994,-1,-1,753942,-1,-1,-1,-1,384281,-1,-1,-1,-1,844025,954877,-1,-1,46097,-1,-1,-1,293283,-1,-1,-1,-1,-1,186182,730133,-1,573226,454115,-1,347269,641150,-1,140063,684689,-1,850797,608197,-1,-1,167217,-1,959884,943927,-1,-1,-1,693816,823200,-1,-1,-1,239075,-1,-1,839884,425383,461375,-1,-1,-1,-1,-1,805610,121082,-1,188576,-1,984972,788422,222756,-1,-1,-1,402825,86315,-1,648999,5347,534518,335162,687931,-1,-1,-1,611692,382297,-1,-1,-1,-1,240506,-1,-1,629194,-1,-1,-1,623677,-1,-1,-1,337305,34201,-1,526418,-1,-1,23914,-1,205840,695670,959926,106144,67445,981371,-1,855779,-1,326419,461687,581050,-1,-1,17704,892457,-1,-1,519951,-1,-1,902985,-1,416104,-1,222967,-1,-1,295288,-1,-1,-1,290649,-1,-1,47735,-1,-1,-1,541315,854453,-1,-1,-1,-1,-1,-1,155496,632543,159015,-1,-1,94280,885219,552389,-1,182296,195669,578823,538404,830563,493305,-1,537839,160165,-1,-1,-1,-1,499174,817030,-1,143017,-1,873834,-1,537506,726592,-1,-1,780744,423290,761519,-1,-1,-1,-1,-1,602509,827777,-1,-1,682000,67115,-1,56048,-1,765091,-1,952107,-1,420042,447973,-1,-1,233172,-1,-1,563902,-1,854023,-1,819499,-1,-1,-1,-1,-1,368088,-1,789753,-1,-1,654988,270982,858816,460217,-1,-1,613799,177884,870670,358526,-1,-1,-1,-1,203925,-1,325946,-1,-1,26839,927390,-1,900488,-1,461814,-1,951891,-1,-1,-1,-1,-1,-1,-1,207578,793387,153554,-1,-1,16579,85119,537697,141455,942275,892088,773189,-1,-1,-1,374258,145337,-1,-1,-1,-1,323040,599623,693977,737819,762442,-1,-1,465682,-1,-1,-1,559333,789403,-1,726791,-1,351064,-1,-1,-1,35643,-1,-1,404109,-1,-1,348733,333486,-1,733162,738276,-1,169861,348677,-1,-1,91614,-1,127993,-1,305698,-1,763877,-1,914699,369422,586936,-1,-1,-1,-1,938276,915868,-1,155788,-1,-1,-1,-1,693801,-1,-1,-1,352284,-1,358825,145151,-1,-1,-1,-1,265219,626607,-1,-1,-1,-1,-1,-1,-1,-1,660974,-1,998541,-1,564593,757192,-1,-1,919853,959958,-1,360933,-1,-1,520466,-1,403884,890838,1840,977807,173281,-1,309040,-1,-1,791620,52305,-1,552713,825888,229338,-1,-1,-1,489206,550860,-1,480798,-1,388216,-1,-1,-1,-1,260380,942146,-1,-1,-1,-1,-1,353314,915048,977890,513485,-1,-1,-1,654465,-1,-1,-1,-1,-1,854238,314953,-1,-1,-1,-1,-1,161217,-1,-1,-1,734627,452390,530314,54563,-1,-1,685546,-1,-1,742776,-1,875499,-1,341823,-1,235727,-1,-1,214861,489834,236547,623880,-1,421489,-1,639112,-1,-1,529991,-1,670562,946110,887938,840298,446745,-1,-1,568719,771309,-1,-1,652653,518652,-1,-1,956372,-1,-1,-1,-1,-1,599080,212808,204765,-1,303190,-1,397816,-1,-1,-1,740713,410121,644648,944971,-1,486995,-1,32048,350280,-1,-1,452004,164985,369966,695314,851240,-1,916454,168235,85636,-1,893707,724318,-1,-1,-1,867132,-1,769679,866425,-1,-1,-1,830384,681352,-1,-1,-1,-1,515784,267550,-1,400831,222359,137049,566436,-1,530156,721670,-1,-1,280808,-1,-1,517507,993925,-1,-1,-1,-1,520456,862264,297495,-1,-1,-1,-1,-1,-1,151873,-1,228359,998506,-1,-1,-1,679244,148072,253919,-1,-1,275869,-1,377998,202691,565434,993415,-1,794535,-1,475168,500090,436983,-1,-1,775922,-1,-1,-1,-1,-1,292891,-1,289615,13025,873515,389325,-1,-1,276834,169716,-1,-1,-1,-1,-1,905613,403654,225070,-1,625153,907655,-1,-1,770790,-1,-1,-1,532553,-1,134908,-1,-1,-1,-1,62781,-1,-1,-1,849566,557402,208994,-1,354480,360410,-1,-1,834323,-1,738850,8265,-1,-1,-1,998268,538936,153085,-1,-1,685946,524713,168737,-1,756127,-1,-1,-1,-1,-1,-1,-1,855442,-1,217021,-1,-1,715493,29765,-1,262604,741748,861572,-1,701403,-1,-1,18684,905357,-1,911108,823018,544441,907256,-1,860848,155677,990534,-1,-1,-1,-1,-1,-1,458818,-1,-1,293430,-1,-1,-1,-1,-1,-1,321305,-1,-1,353459,674174,-1,-1,-1,-1,804124,-1,-1,-1,-1,758871,-1,89704,416854,483886,62558,-1,-1,536212,-1,-1,-1,-1,-1,194278,872526,-1,-1,-1,798378,17813,-1,-1,681497,176199,991991,349411,316248,549383,442520,658367,-1,-1,-1,-1,347392,-1,-1,219939,-1,-1,767365,770827,-1,-1,-1,983464,418967,663573,133963,-1,160999,-1,708018,571977,-1,697012,339254,596432,228676,-1,139625,153655,-1,662732,204369,692365,-1,572564,503936,-1,-1,619588,5773,-1,-1,534783,-1,65454,-1,-1,492467,234671,-1,435344,-1,675950,-1,-1,-1,-1,261337,-1,-1,336829,405806,4750,193904,-1,-1,51633,-1,178663,-1,-1,456411,558836,-1,44614,-1,912261,627731,434310,-1,-1,-1,947621,-1,344210,-1,105332,-1,554157,-1,-1,112952,-1,373835,209894,-1,-1,885728,510311,733570,944025,-1,-1,779791,798988,175254,725186,870183,-1,384194,-1,-1,-1,-1,615971,-1,55452,73284,-1,490846,499123,-1,67426,-1,-1,674558,769439,-1,-1,-1,343214,-1,-1,873565,-1,187286,-1,811891,-1,778828,765245,852038,-1,893146,-1,790109,633230,343612,-1,-1,699266,133158,-1,-1,8173,943598,903108,-1,-1,26635,669656,771803,299730,711049,-1,-1,643327,-1,727180,-1,-1,372286,-1,-1,828759,-1,-1,-1,90473,-1,345450,474402,926921,659891,783060,-1,-1,-1,-1,648440,246237,553597,37524,909821,966950,272940,-1,-1,-1,-1,-1,-1,336949,-1,-1,330833,-1,-1,-1,-1,995264,893380,124957,-1,998694,80917,-1,813738,416508,420298,-1,-1,503263,438899,519348,-1,636600,-1,680680,998032,505443,-1,260278,376424,-1,7456,329160,-1,-1,-1,980592,-1,-1,298007,-1,182376,725692,232995,423236,-1,719538,973230,151841,-1,-1,701656,493024,117646,-1,393761,-1,-1,499282,423127,-1,43693,921434,-1,190524,-1,-1,-1,-1,-1,285404,384958,971638,304865,-1,448464,-1,-1,433109,-1,-1,-1,-1,477544,-1,598336,435855,294244,266537,610557,-1,-1,-1,293505,155360,-1,958500,-1,-1,592409,376136,-1,270223,-1,-1,40457,-1,294632,-1,-1,667680,340259,-1,-1,-1,-1,359000,-1,-1,-1,545360,-1,-1,722603,-1,-1,370240,-1,-1,-1,658840,580123,-1,-1,-1,226199,373358,-1,-1,882290,-1,-1,334818,-1,956053,-1,-1,610542,693926,327739,-1,768713,-1,597301,-1,-1,-1,902349,-1,12121,566902,589322,-1,597639,-1,612750,594196,-1,55406,-1,-1,-1,58058,930394,858629,818928,-1,374578,-1,-1,-1,-1,-1,488217,32973,725176,469548,-1,-1,-1,998874,-1,-1,926081,963806,592505,-1,-1,-1,173975,-1,-1,-1,765825,-1,502273,945620,792984,-1,15389,947639,-1,-1,191623,-1,-1,-1,-1,615036,-1,-1,149868,-1,478625,113112,-1,-1,900673,926457,-1,-1,277223,808584,233894,-1,842388,3678,725822,701771,582747,306822,682855,147901,-1,238895,151556,-1,-1,326328,-1,765940,-1,-1,621541,417181,94498,-1,479278,-1,267124,-1,-1,327825,-1,537030,129673,-1,-1,591472,-1,-1,-1,976795,263891,812948,26450,657697,805767,895952,-1,-1,919075,-1,536870,773137,48570,-1,298209,564304,648491,517742,-1,80506,-1,-1,960982,-1,-1,942226,346848,-1,191718,-1,404650,-1,735902,33164,-1,532945,-1,875658,-1,-1,-1,24191,988377,847682,-1,396079,144289,68066,-1,-1,759810,222952,606468,-1,-1,-1,759982,122084,-1,-1,421942,291378,300491,-1,-1,-1,-1,-1,903062,24309,411172,-1,-1,-1,154125,40217,81838,354631,756717,-1,652187,417791,-1,607174,661705,-1,670710,899054,390378,-1,-1,792324,817368,-1,-1,590145,-1,-1,82025,-1,-1,148205,309841,376001,-1,-1,963411,-1,-1,591709,41639,-1,-1,597147,974023,662868,-1,77346,627884,-1,-1,450644,-1,434832,-1,-1,336693,-1,-1,215278,-1,273785,-1,-1,-1,989197,-1,-1,-1,145667,-1,257928,-1,-1,-1,517670,-1,642682,-1,783687,-1,62546,93667,802037,-1,-1,-1,-1,331481,-1,971932,-1,-1,326029,-1,-1,-1,124936,-1,-1,-1,-1,175908,381238,-1,431072,-1,354472,-1,230136,481310,-1,-1,-1,126918,-1,21810,695706,887944,-1,-1,830494,618485,-1,-1,224103,901918,252005,-1,-1,-1,683819,2112,513043,371029,-1,-1,509132,265818,904339,-1,-1,321037,-1,161344,892891,-1,602474,962709,-1,88926,536817,607780,-1,814394,182489,885062,-1,815350,-1,-1,983660,109407,-1,-1,696333,223600,-1,-1,691003,955716,928198,-1,370455,-1,967413,863623,-1,-1,346637,-1,373241,-1,566359,393299,-1,-1,-1,346373,257477,-1,-1,-1,963433,-1,404077,470314,89976,-1,289564,555716,608505,747403,-1,-1,514028,663408,-1,994817,-1,-1,494602,-1,657600,-1,-1,629994,886283,517369,647344,173957,119670,-1,53846,-1,-1,-1,-1,-1,-1,-1,235272,-1,-1,651467,-1,-1,-1,563887,211748,-1,951886,516594,-1,-1,608796,563096,66671,-1,572908,385249,987002,-1,713969,755671,600286,680957,-1,-1,-1,-1,-1,621593,245323,-1,-1,-1,-1,274123,787479,-1,61748,35617,-1,-1,-1,955177,701793,-1,363754,-1,311487,-1,-1,646026,643821,-1,-1,-1,38102,-1,-1,634281,-1,-1,-1,-1,-1,655938,-1,304636,501462,-1,727410,683793,-1,318544,298278,-1,603545,797678,674287,-1,305355,-1,-1,782174,-1,-1,-1,169283,-1,-1,-1,396273,315180,403492,270084,-1,389791,-1,15480,-1,66946,293729,-1,-1,97590,-1,-1,957592,49161,-1,-1,331655,245176,422927,507752,-1,550547,-1,-1,-1,51030,3949,-1,340919,802142,845539,487243,158058,-1,578610,-1,618121,603115,-1,-1,827620,-1,-1,-1,-1,-1,-1,222645,503937,-1,-1,269933,-1,587074,-1,-1,870734,-1,477849,518230,719028,-1,-1,-1,-1,927889,-1,-1,-1,-1,-1,-1,635099,203383,-1,-1,194172,-1,-1,918147,160867,94097,-1,-1,819218,881107,295418,30327,147909,769828,312137,-1,126680,999581,553464,-1,-1,-1,478979,391045,406040,-1,-1,-1,-1,-1,-1,-1,935821,657451,-1,-1,545396,554298,-1,-1,928058,614846,-1,653940,-1,162751,-1,520556,-1,-1,858660,486196,19348,-1,998284,-1,-1,-1,802394,879110,-1,-1,526670,-1,314990,-1,645133,886667,957672,273227,9692,58467,-1,-1,627419,-1,6450,-1,-1,596412,-1,595215,812415,-1,194728,-1,-1,-1,708670,795268,-1,-1,203589,531381,-1,971797,-1,917069,-1,423006,-1,-1,-1,878758,-1,83895,417234,-1,-1,776452,-1,-1,827866,34105,935291,-1,-1,-1,407945,-1,198543,-1,-1,237382,-1,-1,-1,-1,794141,-1,-1,-1,53155,-1,-1,-1,841127,-1,-1,-1,206993,-1,494511,-1,-1,257232,-1,-1,-1,-1,-1,603087,-1,992983,731557,319363,932503,-1,-1,-1,-1,273550,405069,624656,824764,-1,185689,-1,903859,-1,-1,-1,290745,-1,-1,465244,-1,-1,123933,825622,99077,199466,206571,850748,120558,416498,-1,221224,-1,-1,-1,-1,-1,-1,814855,-1,-1,-1,-1,44888,-1,-1,237108,391467,194461,775510,-1,-1,81289,327064,-1,-1,558138,796006,505007,148028,472618,710917,958169,-1,130013,-1,-1,36686,-1,206557,310754,-1,718154,-1,-1,928055,-1,-1,-1,590018,-1,802451,-1,425100,786962,658538,909203,-1,-1,105564,922512,-1,289733,242201,-1,51376,717404,-1,460465,148265,-1,-1,551247,-1,-1,-1,-1,840968,620137,275483,-1,314277,-1,-1,617530,-1,-1,269808,424674,81253,465205,-1,129389,620394,717437,-1,-1,-1,-1,-1,746655,380374,-1,-1,586624,-1,824256,992871,-1,144949,878857,596252,-1,-1,203168,166511,244268,613265,-1,755412,-1,497420,-1,-1,522302,283618,618879,-1,-1,-1,-1,-1,45838,-1,30120,833696,477153,-1,-1,314949,275612,660436,-1,-1,730331,309398,-1,733014,-1,-1,-1,938736,121226,46871,-1,558464,78941,-1,-1,-1,21931,556154,315589,-1,693698,486499,-1,-1,890595,164491,-1,520613,-1,840570,924731,366430,610442,-1,168354,-1,-1,-1,-1,943056,-1,756796,874415,-1,279176,-1,683830,-1,-1,-1,578089,-1,657041,139396,-1,384398,994722,-1,-1,599368,-1,-1,-1,-1,-1,-1,399587,-1,-1,539675,-1,-1,622652,-1,-1,266925,505057,-1,514406,-1,-1,-1,-1,491697,288526,342795,-1,-1,-1,-1,-1,-1,598381,-1,907990,-1,-1,104535,-1,-1,92088,816990,-1,-1,601809,-1,703022,-1,329768,500507,411674,-1,-1,348285,-1,358901,-1,829105,352756,95051,698981,-1,194978,-1,950257,143415,-1,-1,538136,-1,517785,558203,427704,134078,541446,145479,-1,-1,-1,226517,-1,751250,-1,985505,116716,-1,379668,105437,-1,685518,873551,136555,40661,919327,-1,364229,-1,-1,219090,742719,-1,934515,940709,437048,-1,-1,-1,-1,-1,820784,172518,-1,684581,-1,-1,135694,916129,-1,-1,-1,431610,130231,429505,124394,772444,-1,-1,566811,-1,-1,-1,854206,902309,-1,919335,457358,-1,624738,-1,831830,-1,923188,-1,811456,-1,-1,-1,822015,652167,-1,-1,663844,-1,-1,590583,-1,468861,93031,-1,-1,956636,-1,936529,-1,-1,946236,-1,605424,82828,860234,-1,-1,993238,15047,-1,-1,42523,-1,-1,-1,-1,290272,-1,580638,-1,578098,330292,-1,737631,-1,828329,800041,-1,-1,-1,-1,541237,741644,869455,-1,-1,-1,-1,-1,588459,508722,-1,-1,955940,967167,212725,200559,-1,63450,-1,-1,703559,-1,738466,78816,741393,45018,711969,278672,964197,-1,-1,-1,784737,-1,370414,160836,-1,-1,962000,-1,-1,-1,134789,537955,220635,719208,-1,637021,144299,-1,890922,-1,-1,165826,-1,-1,-1,-1,-1,-1,370313,827564,-1,30026,-1,-1,597765,320376,2169,389228,-1,-1,491537,832490,324370,-1,-1,209187,632646,199291,-1,715295,741229,-1,-1,-1,953170,492291,-1,147692,-1,513317,997859,-1,948269,-1,36332,-1,-1,-1,-1,-1,-1,535972,-1,91914,10968,-1,-1,668155,-1,-1,196754,960605,-1,247766,-1,-1,501846,-1,-1,-1,485510,275403,907438,-1,-1,-1,-1,195196,72836,-1,-1,-1,-1,-1,693805,113624,-1,119359,-1,74994,317995,-1,634816,-1,-1,343409,-1,-1,-1,-1,925206,-1,213114,-1,-1,787871,-1,82241,-1,174344,-1,332730,-1,-1,-1,745130,-1,990444,-1,281217,-1,864472,522017,-1,658569,276873,986657,713996,438994,725935,-1,864524,415836,988209,-1,-1,602615,470179,-1,-1,551705,-1,-1,-1,-1,-1,111945,-1,937787,510469,-1,431400,275202,-1,-1,631822,-1,533238,448410,939142,972481,-1,-1,-1,820804,-1,-1,-1,328175,499318,-1,-1,597571,760686,794405,-1,-1,-1,-1,448872,350572,802352,380305,15516,-1,-1,838396,257065,-1,-1,877695,606758,56467,53345,446371,704563,-1,-1,861149,998229,-1,-1,-1,-1,574275,58010,-1,817963,-1,239610,235400,819673,-1,254331,-1,-1,798781,-1,225125,435402,176414,-1,-1,-1,274910,-1,385864,-1,-1,-1,-1,-1,-1,-1,38059,-1,28308,709795,886111,115554,937974,31476,370359,453277,619143,826832,-1,680073,-1,-1,-1,392007,-1,604107,115853,-1,-1,135446,612424,260873,-1,-1,-1,105650,-1,626024,-1,-1,-1,809618,761403,941174,494639,719583,-1,924930,743272,231723,179195,614104,-1,451517,743836,-1,-1,-1,-1,286780,283602,262317,-1,-1,653003,302699,448814,-1,132803,-1,793535,15764,708722,638787,-1,-1,-1,-1,603899,-1,925809,153256,25467,-1,846499,-1,658939,794243,-1,-1,116793,585743,682783,749709,-1,812237,975380,-1,-1,210107,-1,-1,383745,-1,-1,313631,-1,-1,-1,-1,-1,3287,751552,-1,339930,580840,-1,68830,170194,-1,-1,177059,-1,-1,412542,-1,-1,-1,-1,-1,-1,-1,881194,-1,-1,-1,-1,230076,794365,324074,509163,326186,423081,255285,396858,-1,-1,-1,372958,-1,64572,-1,772914,253840,-1,340242,-1,698769,214144,380300,423469,74864,-1,-1,-1,-1,523410,900274,22707,-1,335569,507778,382330,485100,-1,-1,-1,-1,783428,379330,-1,-1,-1,-1,889867,421290,827485,-1,-1,-1,-1,213588,-1,-1,228107,746377,-1,-1,849892,-1,-1,844909,801178,-1,-1,-1,701750,-1,-1,-1,302819,271483,535466,206290,186482,-1,969844,-1,-1,-1,18604,577883,972794,-1,-1,-1,728981,317205,-1,74932,-1,244445,346381,686763,58495,-1,629189,26919,-1,-1,-1,45946,825063,59759,-1,-1,-1,166666,590351,341649,190586,-1,858165,-1,-1,-1,757973,46845,336023,687124,-1,-1,96746,-1,40945,465267,-1,692481,840584,659111,892951,-1,758600,-1,335383,172954,-1,-1,168552,91401,-1,168183,-1,446263,-1,-1,683189,-1,994804,553471,-1,213815,310926,23589,-1,459091,550319,339864,5977,-1,-1,214193,131051,183732,76841,506657,-1,298436,570343,972028,755016,-1,-1,603805,449270,-1,-1,-1,-1,634620,497904,-1,637107,901248,403647,-1,-1,756844,379555,540029,861622,446455,787078,221635,325577,70633,-1,509774,-1,-1,-1,-1,-1,-1,45056,-1,757348,654518,-1,-1,290912,-1,-1,781407,577950,900347,-1,111549,-1,-1,-1,859148,973706,320378,826193,-1,691353,184041,-1,-1,427977,-1,43185,414883,-1,-1,240961,-1,-1,-1,978580,-1,569522,-1,693168,-1,-1,-1,-1,580792,717914,384701,-1,978847,498803,-1,-1,-1,688008,7971,-1,969614,909650,-1,974808,-1,-1,568333,-1,-1,-1,11391,-1,-1,-1,-1,373302,-1,-1,-1,-1,-1,-1,705112,845122,-1,-1,-1,570408,545810,724917,-1,357058,-1,-1,365135,-1,-1,-1,965072,537928,-1,324414,-1,606526,904055,-1,-1,684530,-1,-1,-1,822572,-1,879267,-1,-1,-1,103539,214603,595029,675867,624636,570511,-1,-1,-1,330182,-1,63656,296271,-1,621654,243442,1392,-1,-1,474898,-1,-1,-1,-1,199955,-1,121399,940312,-1,-1,825921,718445,-1,-1,842508,-1,790126,-1,706077,-1,167266,-1,861325,832825,138038,-1,136759,424888,-1,865718,659431,6717,77030,-1,-1,-1,88421,211150,355146,-1,673687,831693,-1,859801,-1,-1,629850,294376,782961,-1,-1,-1,967060,17461,750808,165814,634114,442655,-1,227695,-1,607670,-1,-1,-1,-1,-1,3653,-1,207662,801797,820550,-1,612089,-1,-1,-1,450372,541879,676025,-1,20046,-1,234888,-1,-1,269893,89383,905335,800200,-1,268829,677360,288924,-1,-1,-1,-1,700412,-1,885836,352725,-1,-1,728457,193315,515526,-1,-1,-1,953964,619189,545649,554055,859330,278605,-1,368163,-1,871801,-1,-1,160254,941260,-1,186265,975639,-1,-1,275069,126004,-1,468091,558884,-1,-1,-1,-1,608963,34626,-1,162426,237527,311065,749266,-1,540106,478560,78511,-1,500771,518693,-1,996802,-1,425979,-1,961097,-1,-1,-1,624818,-1,-1,-1,351326,38746,-1,697429,-1,-1,303034,-1,976585,-1,791318,307014,331298,-1,-1,-1,592626,357302,-1,57351,155005,801810,545098,80587,-1,-1,-1,-1,971818,-1,-1,-1,-1,71560,7752,474768,629201,787763,-1,463651,-1,-1,-1,715198,-1,-1,675310,-1,693663,-1,156856,216685,591524,-1,35415,-1,-1,796172,152114,-1,395316,570352,652541,-1,220334,-1,-1,-1,300879,-1,271382,841413,-1,991873,-1,228602,-1,-1,779859,-1,472970,957306,-1,59993,342807,352412,-1,-1,-1,-1,98875,-1,-1,129642,573969,-1,306264,477166,-1,-1,328785,-1,-1,122313,-1,-1,-1,487171,976601,519034,232597,-1,-1,-1,-1,-1,-1,899089,-1,850154,-1,777076,-1,457369,-1,420854,-1,-1,147132,-1,-1,-1,-1,632516,-1,-1,-1,-1,-1,912398,590591,231891,332897,-1,-1,100679,-1,-1,483560,-1,743431,660328,-1,804107,-1,243004,674778,-1,-1,-1,-1,-1,154474,580822,52529,-1,384124,477449,-1,826682,-1,521591,-1,536470,-1,645585,44256,-1,71124,452997,741014,-1,87389,-1,-1,562573,2435,468624,821452,350043,-1,991158,-1,754905,467334,991806,-1,544038,-1,500352,95656,-1,-1,-1,601570,-1,-1,-1,-1,109980,-1,707706,347568,22593,61394,-1,189907,-1,-1,-1,946571,-1,825650,-1,-1,-1,725751,-1,-1,-1,-1,26845,-1,208409,-1,-1,-1,-1,577857,726598,349343,-1,69065,-1,-1,-1,-1,503180,-1,-1,-1,-1,567447,648126,-1,920650,-1,-1,-1,114957,-1,133404,997036,906792,455374,545478,165598,-1,-1,917749,-1,-1,473858,-1,-1,-1,575119,644809,255164,-1,-1,844587,-1,-1,543750,-1,-1,166290,754188,758603,683269,-1,-1,-1,961389,-1,934925,-1,560276,-1,-1,-1,-1,-1,914494,-1,483314,-1,-1,583268,406620,197770,324682,-1,43347,374271,513059,-1,935461,-1,-1,496458,252915,730687,-1,731406,-1,-1,-1,602481,-1,-1,244975,836322,600159,-1,720123,386130,-1,-1,-1,-1,-1,38705,286645,-1,-1,-1,726334,17827,-1,-1,-1,-1,988884,623512,815692,50553,-1,-1,897727,-1,-1,155209,-1,-1,-1,-1,-1,304417,-1,-1,-1,929757,83891,-1,-1,197727,927402,-1,-1,-1,381309,-1,-1,578215,-1,-1,223639,318928,922482,-1,659530,-1,-1,-1,-1,266030,-1,-1,-1,400609,924432,-1,-1,66207,-1,407023,-1,350900,888643,46369,-1,-1,612325,-1,591345,-1,563593,479252,696347,-1,967521,966547,-1,-1,590183,846624,-1,-1,-1,-1,-1,992476,413840,532412,886771,495203,-1,-1,752770,867389,179326,244486,-1,-1,254225,-1,-1,-1,474427,-1,920576,380044,567644,219792,908942,-1,-1,-1,650562,-1,-1,22891,661589,990505,-1,-1,762598,-1,-1,666996,421640,527818,737650,576245,201247,-1,-1,874026,-1,903261,-1,-1,874860,-1,-1,-1,-1,86052,706669,775506,413939,-1,280004,625123,53574,-1,-1,3776,-1,-1,-1,-1,-1,548263,-1,-1,592440,394492,104062,-1,-1,-1,696469,-1,451855,286301,-1,493008,562642,-1,695004,-1,796458,-1,-1,-1,-1,430035,-1,91857,-1,-1,548092,133845,101789,-1,487069,254552,587321,479851,809726,-1,-1,-1,-1,-1,-1,-1,-1,337764,-1,-1,347885,-1,800088,-1,-1,766999,106546,-1,841608,-1,405175,-1,-1,246610,845131,815022,341316,936112,-1,-1,-1,473567,414872,816974,-1,836628,-1,223976,912825,-1,161073,-1,-1,-1,32249,403224,-1,367963,391266,-1,960903,-1,-1,15391,-1,-1,431427,235645,-1,891138,349229,914032,-1,153863,695094,10601,825199,-1,-1,-1,733781,253176,-1,-1,-1,115611,-1,454331,-1,225272,-1,-1,767276,674732,-1,61513,712350,862578,796907,-1,-1,-1,-1,-1,432344,317629,81958,-1,123200,808048,628656,434041,737129,382611,-1,30168,-1,31453,474846,16915,994640,783398,-1,584513,-1,-1,-1,-1,-1,-1,808140,115044,199042,-1,-1,-1,-1,645124,658441,-1,-1,-1,-1,-1,-1,-1,-1,554608,-1,-1,237384,123047,671472,-1,599211,-1,212688,437958,880240,722000,-1,685248,894417,-1,78606,172710,867621,744453,-1,-1,294676,-1,613947,392443,163411,300802,-1,-1,-1,-1,-1,-1,-1,-1,752158,896073,-1,-1,-1,103082,593810,266516,382720,372490,100442,655024,-1,-1,80664,951464,819140,618843,864760,484328,-1,527163,342544,277901,-1,964734,497954,-1,-1,370792,-1,186390,-1,-1,56693,476817,-1,-1,521422,-1,903914,879578,352349,-1,-1,366827,568951,798896,689648,446457,-1,-1,358477,-1,348363,-1,379464,957527,698045,332192,163334,80203,-1,423953,399991,498924,-1,782734,-1,51573,112747,-1,-1,60740,-1,42786,-1,-1,-1,165049,833465,779233,695030,-1,-1,-1,-1,701170,-1,785391,-1,98923,471436,-1,926562,506860,422368,-1,-1,-1,-1,275616,108145,-1,894836,603100,538836,-1,-1,657948,-1,-1,265111,512262,554386,655851,-1,-1,345661,-1,-1,223109,-1,387967,695547,-1,-1,-1,-1,-1,444497,-1,-1,-1,-1,-1,-1,-1,348294,413781,422950,776499,616547,629131,108503,-1,153691,487025,-1,-1,-1,-1,67005,-1,-1,-1,-1,369235,381497,331344,413979,896954,-1,597408,495655,-1,81610,-1,45713,-1,535447,-1,-1,-1,482146,42041,190271,-1,403860,-1,-1,-1,378523,419228,-1,126123,-1,149912,-1,-1,808468,379351,511386,347685,-1,324671,956098,329619,306001,-1,-1,-1,615148,-1,144277,857543,456378,-1,-1,-1,449003,-1,-1,755956,-1,997836,-1,-1,247142,751401,-1,919453,629258,932131,343383,524629,762681,-1,21651,236891,-1,590697,-1,609626,101925,198127,536911,603949,-1,-1,-1,955340,751886,836785,-1,-1,214543,-1,288525,-1,608982,-1,218535,192223,385384,301680,-1,-1,331639,-1,-1,-1,939233,722984,789006,-1,562961,831905,722878,-1,869074,503003,215799,901148,670502,511605,-1,-1,-1,-1,921539,-1,252808,822760,47484,498117,-1,-1,-1,165170,-1,957712,-1,564185,-1,-1,-1,819793,458228,-1,612425,-1,-1,-1,188811,665849,-1,194247,617339,-1,-1,-1,339766,-1,-1,-1,631069,-1,-1,-1,573835,582016,19178,-1,-1,-1,-1,-1,-1,588618,-1,-1,404320,979214,875158,699593,-1,500769,-1,-1,-1,-1,-1,556742,488769,91015,-1,-1,-1,716397,-1,782176,-1,-1,471843,159260,-1,415772,288121,-1,890813,746989,936840,570723,492221,22685,-1,867512,771485,-1,-1,877760,-1,859637,-1,-1,403898,882250,-1,-1,591257,-1,71792,98617,-1,131200,-1,487671,911424,232463,-1,462956,529681,-1,344729,694288,-1,292499,-1,-1,619257,-1,-1,332185,284246,-1,752220,-1,-1,364128,472861,638668,-1,-1,972744,317207,219957,-1,667905,746107,867206,-1,-1,160695,-1,-1,-1,934950,-1,3646,-1,-1,825890,282123,-1,340288,643352,-1,103475,487873,763122,150710,453989,-1,-1,-1,-1,102076,-1,-1,851865,23576,-1,837860,-1,-1,450788,596157,-1,-1,-1,493579,563648,-1,-1,703972,246975,381115,-1,-1,-1,596156,755466,-1,952700,-1,-1,934019,519311,430154,593377,248786,-1,-1,352769,-1,470976,266816,887878,-1,135983,916771,493942,114655,-1,-1,95829,-1,-1,-1,321974,23649,-1,-1,367674,144714,-1,507926,954989,-1,-1,-1,-1,-1,-1,705029,776313,-1,837857,-1,410248,435193,-1,-1,-1,-1,704943,-1,686931,162821,850234,894426,746707,669510,-1,-1,-1,-1,-1,-1,703909,84545,369739,-1,676629,334341,831450,-1,381359,-1,579830,207542,450749,364422,961759,405057,-1,-1,-1,156765,568143,323527,874560,-1,879303,434224,-1,616560,-1,38017,502258,987665,-1,352707,548639,343112,-1,-1,-1,-1,543310,126295,-1,943376,222842,387333,-1,701772,-1,-1,-1,127667,356343,548203,-1,247156,-1,641792,95627,-1,106036,109449,592950,240153,-1,783674,-1,-1,-1,-1,-1,4485,504796,544158,-1,-1,-1,-1,37418,43499,-1,662809,370020,900476,-1,-1,-1,572077,-1,282272,-1,-1,505748,241730,-1,135449,-1,-1,-1,-1,330403,-1,515903,-1,-1,-1,636716,910892,-1,-1,33629,312766,628924,-1,399488,-1,-1,-1,-1,385843,-1,-1,-1,350467,889140,-1,436054,962815,-1,-1,-1,991134,688715,557104,-1,377021,-1,-1,-1,920274,819390,275152,-1,-1,-1,-1,943803,-1,-1,-1,-1,893055,857936,498871,514296,578488,-1,646707,-1,-1,-1,-1,104074,788119,315762,906528,-1,378617,71723,-1,-1,938857,-1,797572,-1,124342,-1,633451,-1,-1,572661,883539,-1,-1,-1,488608,-1,20924,-1,26500,609036,474992,844300,-1,608533,-1,613349,310398,538819,607494,707956,988796,-1,-1,-1,-1,-1,-1,669782,-1,678721,-1,62639,-1,972383,-1,428837,-1,208118,167995,-1,-1,-1,863733,78535,-1,851884,-1,886798,-1,398328,250847,618673,-1,557448,875655,-1,156335,-1,-1,-1,767448,-1,-1,-1,-1,990056,323312,-1,-1,17752,-1,443891,342987,-1,-1,-1,-1,729666,-1,-1,67573,681278,-1,-1,67515,-1,939746,-1,-1,378727,-1,712023,-1,377561,-1,673091,119579,275038,671349,-1,430532,218164,891522,-1,46746,757315,41356,949234,-1,-1,-1,-1,565356,537190,514470,-1,678467,369328,478707,214883,153815,-1,967519,183278,975315,-1,-1,-1,527057,-1,330059,-1,-1,949965,-1,-1,-1,815032,-1,88918,-1,-1,838972,413544,243040,754541,-1,370483,595457,584373,-1,-1,-1,103524,982143,764503,-1,-1,826582,648657,-1,-1,-1,-1,940234,-1,767951,157381,382900,-1,-1,-1,16282,805682,-1,924779,527263,66287,-1,-1,183021,280522,408857,792779,601154,974046,-1,511,-1,907499,392098,-1,-1,-1,-1,-1,-1,69931,-1,-1,-1,431520,13542,-1,577186,-1,-1,76993,41574,-1,-1,-1,-1,-1,-1,244406,927841,-1,-1,923569,-1,29884,842319,972004,372896,835272,-1,685873,-1,758988,-1,656596,-1,-1,-1,-1,918144,-1,380135,-1,-1,-1,124372,-1,-1,411180,-1,-1,-1,363341,-1,671092,642053,-1,228210,-1,-1,-1,-1,-1,-1,-1,574287,518199,-1,618249,-1,555968,-1,115529,467800,-1,499996,-1,-1,704792,-1,776361,-1,940297,-1,504485,484394,-1,-1,436322,-1,-1,-1,616708,-1,60019,-1,372159,50313,-1,-1,-1,-1,474934,-1,558509,300199,790900,-1,735708,-1,-1,-1,-1,483966,-1,-1,449220,899596,653250,-1,-1,-1,-1,-1,491497,-1,120396,629842,178514,10600,-1,461904,-1,876833,454552,247891,530902,-1,189903,365025,-1,-1,-1,468148,-1,-1,-1,-1,112905,245380,-1,280105,512707,-1,-1,-1,-1,-1,383122,-1,-1,-1,68470,-1,999598,-1,-1,-1,888340,-1,-1,-1,988669,431037,619227,-1,-1,917355,54636,465470,526453,41086,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,529396,20530,-1,-1,391708,-1,-1,-1,597806,-1,-1,376206,31095,910779,607046,186104,269971,-1,915783,-1,941683,683949,701939,876960,94211,852823,-1,698221,713162,-1,168836,331200,765749,-1,180010,123802,467399,-1,814486,-1,462821,669579,-1,207819,786860,248200,311251,142975,417783,-1,-1,-1,-1,-1,-1,-1,-1,-1,356970,-1,907425,-1,541836,464197,616299,949312,-1,-1,-1,-1,307451,552454,-1,222882,459633,-1,-1,-1,559049,504580,565774,-1,486493,-1,-1,-1,393856,625165,-1,604554,-1,277600,745242,-1,-1,-1,320114,819532,-1,407204,-1,716221,346178,-1,-1,843383,-1,-1,-1,475249,-1,919872,970130,359923,-1,601928,-1,-1,-1,-1,-1,60983,173835,587631,92094,299742,344925,428638,729111,-1,-1,-1,-1,630283,434927,-1,742587,-1,370700,-1,444104,-1,866009,-1,28610,-1,357666,-1,282205,-1,-1,-1,-1,202373,-1,244119,847291,-1,-1,-1,636767,-1,661402,14935,-1,-1,630622,696376,-1,490445,329195,768740,707729,-1,-1,-1,-1,88198,-1,-1,-1,636200,-1,596015,-1,785827,501271,448063,-1,-1,-1,754503,228870,379890,52556,-1,958124,-1,-1,-1,-1,-1,-1,-1,532965,-1,801155,-1,255600,-1,967608,-1,-1,882385,-1,565639,-1,-1,-1,947937,-1,-1,-1,928035,-1,669110,-1,-1,370527,916293,449871,246229,401390,-1,806876,112655,699345,-1,968250,-1,-1,-1,-1,-1,526796,374562,-1,939372,-1,-1,-1,581060,-1,945018,-1,-1,-1,437420,170726,-1,896296,370747,990582,-1,942612,-1,-1,207991,447220,-1,-1,726952,-1,99969,768210,-1,48716,-1,23826,-1,901767,-1,-1,-1,-1,-1,190356,626160,225383,763910,469820,432610,-1,-1,873600,659158,807454,329964,544887,894560,480289,-1,719061,-1,-1,451851,-1,915725,-1,-1,27699,364667,152140,77579,370168,403482,648660,895472,-1,-1,-1,863451,495536,127351,-1,-1,350281,792682,-1,-1,620684,-1,811751,19827,-1,274219,350447,109172,-1,-1,870965,190640,-1,-1,-1,-1,421671,-1,337432,834737,-1,452052,-1,81277,-1,-1,917286,-1,-1,668609,-1,-1,-1,-1,727887,-1,-1,-1,-1,455861,-1,-1,325280,-1,-1,378254,-1,-1,-1,92929,649313,-1,54212,421439,291428,442443,-1,668858,732571,247274,682838,97561,-1,775184,-1,-1,654422,431868,669841,347307,-1,-1,741214,-1,-1,-1,-1,-1,-1,492411,-1,121959,325560,-1,655258,10177,62524,547615,-1,-1,-1,406660,285532,224,-1,-1,311861,-1,-1,56719,-1,730243,-1,14074,-1,99596,246809,551157,459929,580829,142419,702344,548597,606663,-1,819657,168495,-1,-1,-1,3176,228423,-1,-1,275813,335848,-1,-1,408885,383430,-1,178999,-1,446756,-1,918252,-1,-1,543380,-1,419710,-1,293099,-1,567821,556801,511201,189302,-1,620907,-1,-1,-1,517819,665413,765165,255888,359298,-1,-1,13924,-1,-1,225386,-1,-1,994717,745509,-1,773119,484321,853047,-1,-1,28297,-1,834552,-1,-1,195897,648568,702470,899547,179407,-1,984362,251837,-1,347838,-1,-1,637952,506766,78995,48911,952903,-1,378324,876217,-1,584144,760102,366144,-1,759406,-1,992490,492737,-1,679965,527802,33567,892560,72659,-1,-1,151134,530671,-1,99035,902135,-1,241232,-1,237075,690532,-1,899247,337408,792725,795982,-1,736118,217002,317953,967767,-1,-1,206524,-1,328292,7113,-1,388615,-1,-1,-1,250038,-1,-1,159562,-1,-1,-1,-1,-1,30361,836134,70404,538663,718846,970736,461186,665266,340499,433651,627514,790292,748744,-1,459571,-1,-1,141994,317599,-1,392150,384625,260508,-1,779020,758672,-1,-1,463880,359864,-1,-1,-1,-1,-1,-1,-1,-1,471580,-1,712044,298018,291107,-1,-1,-1,923192,489919,773970,-1,775682,-1,-1,954518,350697,-1,-1,-1,239831,892632,530054,-1,-1,685545,-1,378438,459703,804331,243556,-1,-1,128672,-1,-1,-1,-1,-1,-1,-1,-1,843326,49059,-1,994509,-1,-1,-1,-1,-1,-1,362726,-1,188928,101780,46745,655770,-1,-1,437151,163779,328713,911731,908090,-1,363862,-1,297626,-1,384915,125064,-1,108851,-1,555512,-1,758455,-1,316664,-1,-1,-1,-1,-1,990361,-1,-1,36797,505997,-1,362845,-1,625735,42776,-1,496303,-1,-1,950835,16925,703149,296138,894413,546096,-1,-1,550229,-1,-1,-1,-1,-1,-1,-1,791960,-1,561806,-1,-1,80056,-1,-1,-1,-1,-1,-1,-1,-1,-1,255091,339990,-1,-1,61652,162640,-1,-1,170519,-1,-1,-1,-1,949503,639020,-1,-1,-1,-1,507363,-1,-1,-1,563300,270790,373934,527089,-1,-1,-1,961619,-1,877028,-1,-1,928234,140897,-1,-1,956232,75067,-1,-1,-1,-1,256036,643158,838460,-1,-1,955121,642059,66120,620014,825387,-1,-1,850521,390153,416977,-1,713964,535912,569904,572443,910393,993979,-1,509775,-1,27142,424582,522039,-1,256144,-1,723044,269912,-1,-1,88859,685497,-1,-1,504120,-1,-1,-1,646019,644094,126648,624817,897785,442716,-1,-1,-1,-1,-1,-1,593076,-1,59319,-1,-1,-1,713017,-1,-1,933604,-1,599240,730679,-1,121936,-1,-1,-1,-1,792746,-1,50882,-1,-1,281283,-1,928907,96283,-1,795445,-1,899479,712682,857905,-1,-1,-1,100758,-1,-1,-1,-1,-1,-1,-1,-1,-1,139840,-1,569531,-1,25417,508048,84529,-1,-1,516294,-1,217625,-1,-1,-1,-1,470053,-1,-1,753394,-1,431844,693794,225152,-1,-1,134168,-1,35912,872501,-1,913095,867504,-1,465488,-1,355243,-1,-1,332350,758045,938956,-1,-1,-1,376367,-1,-1,-1,47365,552381,-1,-1,854877,-1,101750,552366,-1,990717,533356,-1,123828,-1,577409,813670,-1,-1,511865,528795,-1,786676,813020,615404,677688,650906,-1,-1,-1,-1,248879,-1,-1,-1,-1,-1,938023,-1,-1,-1,81809,841588,825520,342438,684256,-1,309712,824848,887442,954682,-1,-1,-1,15645,-1,348777,-1,-1,808083,956345,860854,578601,883020,-1,673201,-1,284431,353144,-1,-1,-1,898442,-1,537413,234699,-1,-1,816507,-1,957539,234178,431259,867108,321434,-1,-1,-1,883750,-1,-1,861996,-1,-1,8024,-1,-1,-1,569140,-1,88432,-1,-1,172693,-1,-1,16646,322296,-1,591660,560127,186423,168776,820137,-1,-1,39710,30228,-1,970682,293060,-1,702216,517794,-1,-1,-1,894305,-1,-1,-1,-1,-1,-1,-1,842687,-1,408600,-1,-1,363005,-1,553117,981963,-1,-1,-1,-1,581464,794780,-1,24675,-1,856399,-1,-1,205496,-1,-1,-1,326068,161456,72128,-1,-1,-1,-1,-1,-1,487470,433813,-1,187595,729575,-1,-1,351317,-1,-1,-1,457540,-1,905521,-1,-1,154303,-1,-1,638715,-1,23650,-1,340188,151290,-1,-1,-1,404033,203486,59731,126898,280734,573193,-1,212455,329091,720320,-1,-1,-1,7712,-1,678682,146814,-1,99318,-1,633800,875230,977546,-1,-1,591021,810715,-1,509659,853326,799401,756650,-1,-1,526775,-1,722392,337179,179145,-1,667721,829370,681234,626439,-1,914882,-1,741856,895007,665489,-1,-1,-1,32119,537763,796964,-1,-1,-1,-1,35636,361919,353037,142475,767307,157400,-1,870193,488806,-1,303362,376701,384104,317741,-1,-1,995890,-1,-1,-1,1163,-1,499423,791521,-1,-1,724367,-1,-1,126710,-1,603107,789961,998767,118165,-1,716940,-1,-1,-1,110114,-1,483551,30000,-1,-1,854116,683438,-1,559297,636978,652852,863525,-1,-1,-1,-1,679053,-1,968547,289235,775976,493282,155780,-1,191312,-1,-1,-1,-1,76910,881493,-1,492995,-1,-1,-1,289443,782351,-1,134801,192164,-1,297064,282083,-1,-1,-1,-1,140160,-1,-1,-1,-1,975608,-1,953836,-1,803594,322180,-1,-1,-1,-1,983102,678647,87500,832178,419467,-1,-1,918163,-1,349545,-1,544013,-1,-1,-1,-1,23150,148005,-1,-1,-1,429731,682679,-1,-1,-1,-1,-1,278406,-1,-1,-1,370311,-1,900167,-1,-1,-1,111834,581797,-1,855736,263520,-1,854751,694708,-1,-1,-1,-1,-1,-1,-1,786743,-1,-1,622427,-1,-1,851989,-1,765454,166637,-1,423,589770,-1,-1,689256,-1,-1,596231,-1,-1,-1,601823,-1,-1,-1,566733,540251,863079,-1,421923,941281,-1,212935,-1,793109,645687,329021,423079,432151,-1,617554,-1,-1,894492,393716,-1,270664,-1,-1,-1,25943,-1,-1,631859,-1,-1,415123,-1,-1,-1,739540,-1,972950,-1,-1,-1,-1,-1,460443,190233,805067,540160,-1,-1,992678,-1,768002,-1,-1,-1,-1,-1,-1,517233,687976,215266,-1,730,38833,-1,4062,130439,541972,-1,-1,836127,-1,-1,-1,-1,245692,-1,-1,128823,804756,-1,-1,85683,691229,87567,-1,-1,-1,346908,169380,702221,503011,292690,-1,507067,749736,77844,-1,530383,-1,-1,475425,-1,871677,-1,-1,-1,-1,-1,543468,933529,-1,894247,429545,546558,-1,-1,857432,658074,964629,-1,-1,762194,324961,-1,-1,74544,953042,386892,-1,-1,817899,208300,-1,324613,410581,-1,78226,-1,-1,-1,915582,-1,605596,534816,-1,-1,879261,768544,114701,-1,-1,895379,-1,110338,9566,-1,341161,630018,835202,101909,-1,-1,-1,-1,-1,352810,-1,-1,537613,-1,-1,-1,27744,-1,-1,-1,-1,222150,903883,677407,66032,-1,-1,-1,32314,474375,878863,-1,999045,123519,760460,-1,646211,958481,-1,-1,470339,-1,-1,-1,811334,-1,242680,700851,-1,-1,599782,534597,735809,616739,-1,-1,790165,-1,347714,307381,592003,-1,397162,364647,911855,978943,-1,-1,-1,-1,944617,368789,-1,284305,488859,-1,-1,-1,-1,85285,167718,-1,-1,-1,-1,-1,289371,975430,-1,-1,-1,457457,415500,-1,-1,373710,-1,31416,-1,197680,-1,943775,84157,-1,35878,6420,555770,-1,831375,-1,-1,-1,373163,-1,-1,841966,-1,-1,-1,-1,243661,-1,545713,204250,811683,-1,-1,-1,176971,756963,-1,-1,-1,-1,897662,-1,-1,-1,939879,-1,-1,-1,-1,899393,590347,-1,-1,788399,485241,96682,921775,814936,718037,-1,-1,-1,-1,-1,575147,785779,-1,-1,915960,296917,-1,332410,100452,-1,797560,999267,800239,958479,-1,761107,-1,843281,454281,382782,101141,520326,-1,-1,483860,18354,-1,-1,664505,160656,-1,-1,-1,564443,602850,-1,-1,755981,851186,-1,-1,-1,-1,-1,-1,708326,532977,501864,-1,168016,-1,-1,-1,89052,-1,187090,569171,159180,-1,341552,450207,-1,392662,729436,21163,944202,459719,105032,457193,145853,-1,-1,68295,506318,331944,-1,-1,657130,-1,452296,485034,393158,771337,-1,346152,-1,654748,-1,179985,508885,160574,-1,-1,-1,805105,613235,-1,-1,-1,-1,-1,625982,181296,-1,502136,860627,-1,-1,-1,-1,-1,126156,-1,384789,598535,-1,-1,-1,-1,344456,155549,-1,-1,-1,39137,-1,402547,-1,761617,376037,303782,-1,111365,977262,92605,-1,146703,570340,-1,-1,-1,-1,282726,-1,154833,-1,-1,-1,-1,-1,-1,-1,813901,299250,-1,614628,116065,-1,-1,-1,662381,255761,47880,-1,538535,-1,110014,-1,-1,208432,717243,-1,-1,-1,-1,-1,420767,968070,-1,669843,-1,366539,-1,150722,-1,-1,-1,-1,363019,-1,296768,-1,-1,-1,782205,541695,-1,-1,-1,-1,-1,800502,-1,-1,878442,892256,-1,-1,915272,-1,-1,-1,-1,-1,-1,-1,-1,-1,204331,-1,-1,-1,487800,515941,783027,81044,-1,386428,-1,409721,227838,-1,614158,-1,960046,582710,423419,474929,140109,630210,155187,875368,-1,-1,-1,979285,947856,-1,780290,338865,-1,-1,-1,380828,432759,561433,-1,370733,822964,823936,947825,-1,100756,936169,25148,621888,-1,-1,211840,351093,908045,-1,-1,-1,-1,-1,283601,985967,341766,604727,580776,937517,-1,-1,734454,910710,-1,605744,-1,-1,61250,726694,394393,-1,-1,-1,158476,539683,593565,-1,870974,604898,-1,729215,-1,87253,-1,-1,408903,-1,757345,885705,808579,-1,289666,43231,-1,-1,-1,352116,-1,-1,947168,387572,346287,404345,28471,714478,238908,-1,-1,647673,-1,482641,-1,-1,-1,342047,-1,226477,-1,-1,158875,379325,366241,477138,521293,55757,-1,979583,732130,-1,-1,477922,727976,-1,214598,-1,549181,-1,188923,41023,-1,346238,-1,259136,371611,-1,-1,-1,296621,434234,907027,440276,184126,418679,-1,725468,381973,-1,-1,-1,277385,592241,-1,-1,34801,-1,991929,-1,-1,-1,695878,751608,640928,-1,974441,244652,-1,-1,651564,685608,-1,-1,-1,849408,-1,-1,343834,-1,616672,-1,200654,216709,-1,258208,163922,-1,-1,-1,-1,-1,-1,-1,210503,-1,571710,-1,259100,36816,-1,844970,-1,541977,-1,-1,893368,652369,796390,571996,398274,212315,-1,-1,547037,-1,565556,281609,297395,367662,782806,804666,211307,-1,-1,344448,-1,-1,-1,-1,-1,204667,-1,385793,-1,-1,920007,-1,642593,-1,-1,902766,-1,78377,759135,266172,-1,481921,-1,-1,592302,-1,-1,830686,940937,666228,6901,-1,-1,-1,931167,96124,443815,-1,612644,104999,-1,757706,786900,-1,-1,-1,-1,611594,-1,-1,417392,728930,463767,-1,141324,-1,-1,-1,886546,60273,895551,-1,-1,441973,352621,838877,-1,-1,-1,-1,-1,-1,501697,354625,-1,504273,-1,762234,638786,-1,-1,670888,870565,761632,999172,-1,-1,494933,-1,204537,210018,-1,620759,-1,-1,-1,661175,-1,-1,-1,-1,661303,837144,572221,-1,-1,729890,-1,760689,258717,-1,-1,-1,-1,403558,-1,523010,306511,-1,-1,419614,-1,143013,124866,-1,-1,-1,324888,-1,232757,79041,-1,424210,256817,-1,680325,117780,408077,-1,-1,-1,478321,-1,698275,335080,-1,-1,-1,-1,-1,-1,-1,-1,324120,182100,862996,-1,334172,-1,436521,3817,140291,967103,-1,412607,-1,347684,345030,600946,-1,-1,25759,-1,-1,-1,-1,634694,975102,-1,-1,702067,308179,-1,877851,34251,-1,881512,575392,941429,-1,-1,-1,157176,-1,-1,346898,-1,952831,-1,-1,-1,-1,-1,944684,34425,-1,69533,-1,-1,-1,704423,391506,288963,-1,-1,-1,276876,-1,-1,950669,-1,-1,-1,-1,827741,600222,760063,-1,-1,-1,-1,915447,939910,968184,313484,793360,543286,-1,-1,656252,105735,-1,128150,10816,551366,509615,731268,-1,848543,102981,-1,-1,-1,604635,-1,-1,-1,226846,-1,-1,-1,-1,449390,-1,823029,-1,-1,291571,741925,247055,161488,-1,-1,-1,19512,72692,-1,-1,-1,491548,-1,-1,-1,-1,311420,-1,461026,868373,-1,159645,-1,984410,558673,154461,-1,854377,-1,-1,-1,897683,46013,192512,-1,317276,-1,-1,49025,538772,677298,130285,380087,-1,-1,190538,-1,-1,-1,862587,147685,-1,433934,213012,510153,490639,-1,959945,-1,-1,737887,-1,135376,187189,-1,217758,-1,-1,-1,929614,-1,-1,-1,634892,608446,529110,-1,317019,-1,-1,878395,-1,-1,-1,-1,963100,175981,251711,921092,829324,-1,38750,-1,-1,-1,-1,-1,647895,455721,440131,-1,-1,407611,-1,-1,-1,-1,-1,-1,52035,695235,238488,168757,-1,922636,639623,32957,-1,-1,-1,-1,509457,-1,-1,-1,469892,156724,213130,818548,-1,-1,-1,-1,-1,44511,250187,-1,936681,-1,-1,-1,853225,-1,57174,-1,536152,601645,-1,439738,337870,-1,687869,-1,-1,908953,-1,-1,-1,-1,703711,606319,-1,803346,-1,-1,-1,-1,-1,-1,301141,585467,-1,472034,159222,210715,-1,-1,422925,16323,480151,777512,-1,-1,-1,377031,137324,-1,-1,292892,-1,713606,329367,-1,112937,471431,-1,-1,-1,327847,-1,-1,532402,-1,992652,-1,-1,-1,530865,192243,-1,-1,689844,217094,-1,340450,181859,708639,-1,-1,6117,503141,-1,761158,-1,145588,281015,864565,-1,-1,-1,-1,-1,581572,-1,-1,-1,-1,-1,-1,725731,-1,-1,-1,484408,570318,-1,-1,-1,-1,-1,-1,-1,292943,-1,516113,378277,258047,883177,925116,-1,-1,-1,506844,235865,259290,878566,-1,596178,-1,321441,-1,-1,85219,837760,-1,-1,-1,700731,-1,282060,922802,-1,383046,-1,-1,-1,-1,812262,864993,55198,492181,-1,514581,108435,357904,486514,-1,977022,-1,751862,-1,-1,-1,409381,50047,741496,771726,-1,147189,-1,109680,342250,-1,786670,-1,-1,391117,-1,-1,766968,-1,-1,-1,353340,-1,895957,-1,448428,242857,860780,-1,-1,357556,-1,-1,380015,-1,-1,578134,-1,546244,-1,878958,-1,-1,900101,812457,-1,-1,-1,-1,-1,-1,884663,-1,-1,-1,433501,-1,-1,-1,165371,282885,-1,895122,51594,878060,-1,-1,818872,134679,-1,-1,333253,432317,436000,467958,710082,871707,814276,167463,-1,619218,-1,53175,781528,-1,-1,837055,-1,273480,6884,-1,-1,384382,-1,-1,489225,-1,-1,492160,492911,-1,-1,-1,-1,959235,-1,-1,-1,-1,613832,-1,57880,-1,118372,-1,638311,249927,982224,996359,-1,79906,-1,596505,449807,-1,485356,-1,810643,371036,-1,-1,-1,-1,489451,117253,-1,-1,935342,158613,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,517574,-1,-1,-1,-1,-1,-1,578803,-1,-1,-1,-1,-1,-1,4212,-1,98805,979095,245148,-1,82904,-1,212050,-1,884293,-1,967316,-1,135392,99391,-1,-1,792238,-1,-1,-1,-1,-1,841438,864761,-1,427091,191077,313389,-1,-1,-1,-1,-1,-1,237217,-1,180245,-1,-1,431543,-1,-1,60563,-1,964778,-1,286823,467506,294132,-1,638731,-1,-1,-1,-1,379861,-1,755494,875380,84942,27563,-1,248114,-1,392036,-1,292617,951363,-1,-1,-1,87824,-1,133487,402937,-1,389612,-1,-1,-1,581992,272489,821194,-1,753890,-1,-1,-1,648048,120932,-1,107042,919355,249128,-1,-1,-1,-1,-1,-1,-1,103067,-1,-1,992463,514703,533902,-1,927617,644732,-1,713753,-1,-1,-1,-1,-1,503039,-1,281679,-1,99578,421787,854848,-1,-1,-1,301897,-1,-1,107328,-1,-1,902291,-1,-1,17383,-1,444259,187037,-1,-1,-1,721349,954306,-1,331503,704113,994244,-1,237867,119764,-1,-1,-1,-1,444121,28575,-1,-1,792757,-1,959270,970901,-1,891153,236504,874284,667866,926106,977730,-1,899599,-1,87953,-1,-1,121994,-1,900893,-1,586089,-1,136646,239224,736000,577752,-1,504045,-1,-1,-1,-1,118765,-1,-1,389104,862475,425858,-1,-1,1892,-1,749869,-1,603244,-1,-1,-1,495601,544529,433709,568081,-1,593289,525156,381830,125792,520347,985005,442880,-1,-1,-1,-1,800447,-1,875037,141967,-1,52941,582204,652465,-1,613403,-1,187560,355635,-1,-1,-1,688265,-1,359906,107788,-1,-1,521238,907187,290385,568829,712120,-1,637203,29130,-1,-1,303144,-1,798540,-1,213482,-1,894819,655846,-1,-1,980128,689660,236841,-1,522895,932376,-1,724504,-1,-1,459475,354500,472025,-1,-1,-1,-1,506656,-1,853296,686301,-1,-1,-1,-1,727260,161246,-1,631072,-1,930751,474301,-1,-1,-1,553184,954886,-1,543337,-1,235433,787814,-1,102946,355470,-1,813381,-1,-1,-1,53494,-1,-1,-1,410624,372302,-1,-1,-1,-1,-1,677789,658618,-1,941130,-1,353277,-1,-1,-1,763241,-1,945652,98070,-1,-1,-1,368322,-1,503699,486238,-1,-1,-1,220481,339769,-1,459169,727021,-1,-1,-1,951325,589991,18077,335483,776113,-1,-1,-1,813490,-1,-1,289251,686914,-1,-1,-1,-1,322884,670955,760106,901623,583616,-1,-1,583715,313096,-1,-1,-1,372473,594091,-1,-1,620293,390859,847354,-1,773839,639454,-1,955812,899615,-1,-1,-1,-1,869095,-1,-1,-1,-1,857834,334831,126922,237071,-1,-1,185144,745732,318312,499878,-1,-1,-1,-1,701024,289102,-1,-1,1697,-1,-1,-1,-1,-1,795731,-1,-1,322622,-1,579634,-1,-1,-1,-1,-1,-1,934580,946795,-1,-1,829102,12622,809001,643320,890780,820425,-1,-1,-1,701100,551029,-1,718798,852987,-1,362731,-1,497036,248311,378684,121378,375432,-1,-1,-1,560487,-1,670391,74178,206070,-1,-1,221656,-1,-1,150937,-1,-1,-1,-1,233504,381747,73630,-1,642433,486370,-1,-1,153404,619224,-1,-1,250002,-1,-1,119367,799894,-1,424335,-1,525297,-1,-1,114610,-1,-1,-1,-1,-1,-1,-1,414609,157939,968852,-1,-1,-1,-1,640136,97611,90103,684819,-1,617467,-1,-1,484098,238398,180781,-1,365577,-1,-1,-1,-1,354188,980345,935978,537236,-1,729738,568676,-1,587237,-1,-1,339140,172014,-1,387832,215652,665833,516954,-1,-1,819199,-1,-1,-1,-1,64319,670413,-1,-1,-1,244,-1,-1,-1,-1,830651,-1,-1,542941,925007,353206,-1,294370,786681,-1,-1,-1,617798,747070,568242,-1,-1,-1,-1,-1,-1,-1,892941,754407,307959,-1,-1,534351,-1,-1,748500,-1,-1,-1,-1,-1,83219,-1,-1,-1,301437,124244,-1,341620,-1,-1,-1,-1,-1,-1,-1,368279,377663,439225,619818,425606,-1,601319,673367,119826,-1,-1,-1,992783,-1,84106,687175,830598,-1,789506,-1,-1,-1,-1,475555,-1,-1,-1,99205,243035,82183,-1,-1,-1,-1,-1,-1,-1,861384,923737,-1,-1,-1,-1,423744,-1,-1,-1,901266,473689,517977,200870,-1,-1,366065,-1,931996,766427,-1,-1,574330,962811,-1,830504,-1,609465,677640,209992,955281,-1,141999,-1,109167,596528,-1,126980,-1,887458,-1,991600,-1,-1,994067,669456,375542,422529,275738,71539,261206,-1,523607,-1,258892,-1,364816,310973,-1,237084,-1,-1,955583,-1,-1,520871,105593,-1,-1,-1,57255,-1,888111,-1,-1,-1,279893,435078,526614,19450,306446,708750,-1,103859,-1,-1,-1,-1,26412,-1,-1,-1,661952,601930,971915,-1,311758,-1,751731,-1,-1,722665,596912,-1,-1,715781,499474,354691,431981,522397,-1,304102,-1,415267,-1,24182,21422,-1,951232,-1,-1,282235,940473,-1,437946,-1,238363,475429,-1,-1,448610,-1,-1,-1,680801,393238,499754,839414,463995,-1,231053,943392,522931,921075,-1,687644,-1,23500,-1,184888,-1,-1,-1,526501,862593,-1,-1,-1,380594,729834,-1,320553,315328,-1,-1,-1,143892,-1,-1,-1,226812,445004,-1,-1,-1,228725,-1,-1,942451,-1,905163,-1,702190,-1,612953,455156,-1,-1,339376,342548,-1,13080,-1,-1,395513,-1,-1,868661,-1,473439,-1,296256,649985,893800,112347,224260,-1,-1,-1,112145,-1,-1,-1,-1,-1,855510,154693,312471,501286,509992,837002,978219,277603,188396,-1,752875,-1,-1,-1,482537,271070,998302,411128,396877,-1,964190,900124,252048,-1,241545,-1,-1,542780,706973,-1,740404,901938,61280,333211,-1,563899,-1,732102,-1,924769,695574,247757,552999,856006,197759,708917,-1,687411,-1,-1,-1,-1,980179,-1,-1,-1,538797,387718,-1,-1,548035,526171,311764,-1,-1,-1,-1,-1,597599,941504,-1,348541,933698,159231,-1,-1,-1,-1,-1,789947,-1,319763,588431,359629,-1,636574,267848,348591,-1,542790,409855,716108,440753,305787,-1,411997,990788,209190,15138,113084,739810,176754,-1,244920,864839,-1,-1,-1,397459,555373,529831,-1,-1,172800,922663,459505,-1,-1,-1,402601,-1,-1,29719,-1,-1,-1,649918,-1,387929,-1,927476,-1,42310,-1,132069,52730,288080,346545,-1,-1,154383,496898,691913,-1,-1,-1,418539,-1,261175,-1,-1,931308,-1,853444,318921,-1,868030,513571,445581,-1,-1,-1,958803,-1,715113,671359,171915,-1,753652,-1,576668,-1,302534,851591,235304,227602,513789,-1,73114,-1,10869,571438,28766,-1,274641,362052,-1,-1,701237,-1,-1,429281,589970,277488,-1,860013,-1,70978,738436,339149,835806,277907,690639,130595,29410,241187,146337,-1,731158,-1,656557,-1,213034,-1,-1,978464,-1,-1,391380,353709,-1,-1,-1,-1,-1,-1,-1,-1,88241,-1,-1,-1,-1,-1,397789,-1,-1,-1,-1,-1,-1,446167,-1,-1,963471,-1,915658,786887,413124,391998,-1,373816,890907,-1,868248,-1,-1,-1,-1,407341,-1,-1,791228,-1,122002,283785,76945,538534,-1,-1,-1,65385,-1,-1,911536,-1,636057,511664,-1,-1,967340,-1,166311,190088,79890,752709,341007,-1,-1,243744,-1,704661,-1,501556,336644,-1,941381,729976,-1,993431,-1,-1,-1,670191,-1,581154,76904,-1,657059,-1,517898,-1,388909,378570,-1,-1,-1,-1,-1,757389,-1,-1,-1,708216,470800,-1,466876,340133,-1,-1,-1,-1,779270,333147,470587,-1,-1,-1,-1,798476,-1,800776,142243,-1,-1,829858,944775,-1,486355,-1,435270,876462,35772,61791,754740,118270,-1,-1,-1,528114,-1,829593,973019,-1,683547,372531,412623,376589,-1,506579,452785,813100,-1,-1,201205,-1,-1,-1,-1,684972,-1,-1,-1,-1,590295,-1,-1,-1,-1,378168,-1,338056,254213,-1,-1,-1,548283,-1,-1,602610,-1,-1,710274,-1,448632,267173,-1,117375,456137,-1,755403,874353,-1,574170,-1,352744,-1,232005,640445,-1,-1,-1,-1,-1,213084,-1,656786,-1,-1,-1,808640,-1,951097,842766,-1,730224,475655,38286,249495,623356,-1,-1,248873,-1,902419,489123,-1,-1,-1,999825,-1,-1,-1,100086,710798,-1,378486,654914,499130,-1,728755,-1,-1,498656,-1,954173,-1,313023,-1,-1,-1,319333,-1,533915,433986,-1,-1,394352,168085,-1,298056,358344,288170,-1,349246,111250,248346,-1,620686,-1,-1,-1,764527,-1,774851,34680,993802,-1,901414,422660,-1,41689,-1,-1,73266,-1,-1,683905,-1,797928,-1,920657,-1,-1,168030,338136,212342,393139,344179,40552,-1,-1,878182,-1,-1,-1,-1,-1,777242,228326,-1,690260,576839,372586,340755,-1,733641,-1,97875,-1,-1,-1,562787,287675,914789,-1,686128,544375,-1,999572,-1,483226,896053,109467,631399,293931,-1,579921,-1,-1,-1,-1,-1,-1,-1,207387,331149,986168,757666,751809,934908,828076,-1,646357,731792,-1,-1,-1,-1,-1,695731,420833,201525,-1,-1,-1,563460,-1,956925,-1,-1,304790,748770,261163,-1,-1,-1,733082,-1,-1,-1,-1,260683,110783,998494,200208,376513,866363,608077,-1,-1,-1,-1,765206,-1,-1,99040,-1,929864,555928,-1,-1,226223,456082,-1,762758,-1,-1,-1,911158,597618,-1,452594,-1,547344,13312,-1,-1,-1,241257,22207,61308,-1,-1,582010,-1,-1,10401,726146,86423,-1,929291,-1,-1,537998,291998,478164,-1,499021,510103,141490,388968,565138,17347,280603,-1,-1,614644,781366,-1,-1,-1,953693,-1,72688,-1,653495,364750,659479,-1,669789,-1,113794,836223,-1,-1,362866,-1,-1,237653,161070,986817,-1,350291,-1,514540,775381,-1,426301,-1,448047,166373,585313,705096,-1,470537,-1,502496,228398,527305,-1,53114,-1,807860,-1,808128,656437,-1,345969,97180,823521,-1,-1,665170,136849,798644,-1,-1,-1,627298,98083,998083,810398,-1,-1,-1,516479,-1,-1,162717,114664,-1,-1,746880,-1,-1,438358,886280,-1,-1,896122,619791,907793,460556,-1,135140,-1,-1,-1,368282,262952,995263,-1,703626,-1,-1,-1,686512,-1,235491,458737,-1,921128,-1,-1,-1,-1,535764,-1,636026,381731,27598,-1,330483,-1,51263,-1,966918,200021,-1,-1,-1,-1,781474,-1,293790,-1,-1,643599,-1,984423,689144,-1,47470,-1,-1,-1,-1,-1,-1,-1,-1,106628,-1,-1,55645,-1,-1,-1,-1,60725,532253,548922,843409,-1,-1,-1,497892,257487,84537,-1,-1,-1,-1,795424,16636,837555,216374,439918,785045,84754,-1,-1,-1,303999,433156,159476,174601,738558,847740,926098,548284,-1,-1,-1,-1,247190,-1,355452,924142,204620,165423,634758,-1,-1,-1,265969,912220,985068,-1,777370,1485,563709,-1,-1,-1,255653,-1,888556,-1,676836,-1,905342,245080,-1,434287,640785,-1,228817,-1,-1,-1,869528,171111,-1,440466,-1,-1,-1,282603,-1,486363,859384,359460,-1,-1,-1,-1,-1,790039,-1,528188,39100,233299,-1,350497,841689,-1,546017,748986,846013,928787,-1,-1,167474,938386,114312,44913,-1,-1,-1,995176,80493,371278,882907,-1,625866,-1,-1,748396,756646,-1,547357,897413,-1,711381,798662,993516,591352,22733,468202,-1,-1,955671,-1,-1,-1,-1,980680,915056,39867,132183,-1,889595,-1,-1,841324,-1,20505,-1,894083,932282,38344,-1,464764,-1,174525,239110,917058,160167,67473,791434,389199,212453,527339,-1,-1,949075,-1,771754,436143,-1,5454,379188,-1,197151,288318,989158,419815,430262,-1,147157,-1,-1,-1,548324,486173,-1,545737,398726,-1,740997,-1,289034,-1,762610,589391,919930,976647,-1,-1,-1,-1,-1,523119,49227,299986,-1,527354,-1,622727,-1,232038,670006,-1,954697,-1,434530,133715,-1,566457,-1,-1,-1,542078,640864,712155,773803,-1,-1,-1,-1,957979,917360,382941,-1,-1,115808,604195,-1,-1,261366,18256,-1,-1,698743,427422,108303,302261,-1,917430,711794,722290,261113,-1,573942,720466,-1,-1,-1,-1,-1,364911,-1,-1,582960,230338,117711,-1,-1,-1,841571,-1,3604,141402,-1,-1,225139,-1,647781,269259,-1,-1,495969,748656,-1,204979,871771,71552,-1,-1,687716,670082,-1,-1,691762,-1,-1,-1,-1,626366,238996,677930,-1,516768,103672,-1,-1,941975,-1,-1,378793,-1,-1,806125,-1,-1,-1,-1,-1,-1,597143,-1,227832,936536,-1,-1,143593,493769,70020,-1,188680,-1,928889,-1,-1,93934,16130,192796,-1,120172,-1,-1,-1,-1,820789,39775,805693,-1,-1,864658,45473,-1,-1,-1,-1,785346,190676,-1,797774,745372,-1,868590,-1,841280,-1,632648,863253,-1,528727,-1,747206,851876,-1,-1,-1,490285,291354,-1,-1,-1,960291,412725,60154,572799,-1,-1,-1,681629,585608,-1,-1,-1,794915,197336,905423,635082,-1,-1,258935,-1,307978,691511,-1,534467,280983,-1,445923,402317,575174,-1,31281,-1,-1,-1,-1,112656,456034,-1,148226,388236,-1,-1,295562,998064,413753,-1,125039,-1,-1,-1,859344,-1,943030,-1,-1,738632,950934,567737,136341,-1,-1,59518,-1,-1,-1,-1,-1,416630,-1,175686,-1,413244,-1,273432,236782,-1,532499,-1,824652,522585,775432,-1,-1,-1,695315,-1,32222,207975,-1,-1,632545,-1,129776,429863,897846,509211,567022,-1,-1,253162,978163,-1,664073,398065,-1,-1,270112,414391,-1,980551,-1,265656,-1,-1,873642,-1,455487,47144,169887,496080,-1,830144,531097,-1,-1,362007,247238,-1,191064,-1,399981,-1,-1,293555,-1,251970,-1,892107,139777,671588,408048,248733,785005,-1,944199,334377,-1,-1,-1,851623,-1,559336,-1,683916,-1,865038,-1,68961,56950,-1,25016,-1,814845,-1,-1,818135,-1,35449,-1,257792,-1,106207,-1,-1,400519,-1,-1,-1,-1,917915,-1,210765,-1,787434,-1,-1,-1,110574,-1,28539,926506,-1,-1,840222,736739,475471,-1,-1,-1,-1,870801,868243,696724,245834,-1,-1,113066,-1,-1,-1,665927,955437,355741,510976,344909,446042,-1,783812,340962,132929,-1,351377,-1,-1,-1,-1,422323,964680,-1,217388,632594,-1,-1,-1,-1,529312,234682,-1,-1,469977,846157,959111,-1,990835,264656,159200,-1,-1,-1,-1,56340,-1,941148,-1,171281,53470,-1,829206,354904,452295,-1,-1,815531,-1,839137,802561,666507,213717,894926,-1,511782,750419,-1,997384,-1,-1,-1,550329,525643,371529,975466,-1,-1,-1,559725,829435,696585,-1,-1,-1,870053,372449,603612,-1,157669,564999,-1,-1,-1,464825,-1,995255,371826,-1,274144,-1,809786,196309,-1,779192,682849,703633,626094,-1,501061,-1,-1,647398,985490,457330,-1,930940,61551,-1,-1,-1,-1,-1,-1,91521,846955,-1,-1,728602,-1,445521,-1,-1,624957,496682,261095,282411,-1,243829,463701,-1,272206,422897,-1,-1,161565,920455,-1,87328,-1,-1,-1,-1,682251,193376,362424,928910,413553,-1,786903,861132,526950,375589,-1,-1,271873,783990,-1,-1,-1,-1,-1,-1,650405,-1,-1,-1,122008,-1,-1,276600,267533,-1,591069,844354,-1,310850,148800,160499,598639,-1,-1,-1,945624,333049,453519,-1,-1,-1,600457,668752,-1,-1,-1,-1,-1,-1,-1,729027,-1,-1,-1,-1,261398,-1,-1,644561,19834,713346,651105,622598,240445,654631,687319,-1,520553,541618,759906,917920,190537,961353,-1,9871,760408,-1,622290,366302,-1,-1,-1,375373,202953,49881,-1,-1,367251,-1,-1,-1,-1,-1,834857,-1,143405,-1,635105,29463,589420,-1,112029,-1,283454,159946,-1,-1,-1,439991,110931,291418,152249,-1,-1,-1,-1,-1,-1,-1,143749,-1,-1,669370,-1,822752,887284,556686,-1,900146,-1,-1,325953,74686,-1,483008,981416,-1,-1,-1,-1,571590,966433,425599,-1,581582,-1,42863,-1,-1,-1,-1,814456,-1,-1,-1,-1,951651,-1,427593,282780,-1,929836,562148,985529,521263,-1,-1,-1,-1,975189,-1,811049,-1,370499,-1,-1,-1,276316,150693,516689,234469,-1,948434,-1,521501,-1,-1,-1,625011,-1,-1,-1,113755,234698,337983,-1,851763,601026,992959,532763,-1,-1,504723,-1,916858,-1,-1,564426,-1,-1,927170,340645,830280,-1,-1,-1,-1,839863,475973,-1,-1,183153,-1,-1,-1,-1,-1,373617,-1,-1,839238,478443,-1,262876,504608,-1,-1,-1,968959,356247,510837,91485,52637,-1,-1,-1,954138,-1,-1,88457,568818,898664,-1,279608,162575,398697,252600,825403,626044,181742,-1,547820,734938,-1,230762,636925,831221,-1,-1,773028,-1,-1,-1,535311,732307,-1,-1,786627,-1,-1,-1,304251,-1,199234,-1,150486,-1,-1,718890,-1,640978,-1,735960,895949,106965,-1,48452,-1,701785,-1,-1,885133,-1,523128,292800,909368,-1,420990,-1,6171,-1,-1,-1,-1,-1,-1,-1,43157,-1,-1,-1,-1,-1,411959,-1,114718,-1,-1,50545,-1,-1,-1,-1,-1,-1,701891,-1,-1,-1,726376,857145,234252,-1,-1,259093,541042,814067,-1,-1,113836,-1,181599,-1,689672,-1,-1,997496,694564,582491,613876,-1,286606,892434,-1,249236,-1,-1,421698,474762,713515,-1,-1,-1,186022,-1,-1,578766,-1,285119,-1,951665,930200,335044,-1,-1,-1,386530,-1,348114,-1,-1,701958,-1,-1,302437,12783,278671,573134,-1,549562,-1,345861,481330,-1,140407,80741,59629,908371,-1,651122,303343,-1,63017,-1,-1,986429,-1,-1,62408,-1,946962,-1,-1,-1,790193,571297,-1,-1,-1,259300,780029,400557,966818,373648,301976,348239,-1,-1,-1,-1,983370,576875,-1,-1,694385,-1,-1,154980,355863,739522,591996,-1,-1,-1,-1,-1,47026,373787,-1,712897,533446,222123,598185,108736,83178,-1,749297,-1,-1,908988,114670,805543,-1,-1,887617,878141,716472,-1,959736,961895,-1,-1,655086,268925,-1,-1,159789,-1,671302,393685,885007,-1,323380,-1,-1,1961,-1,-1,984934,-1,671803,-1,-1,524578,2426,-1,9250,250508,-1,-1,-1,261591,-1,90192,813700,236437,-1,-1,-1,-1,-1,609312,-1,-1,105386,-1,131666,886557,-1,696997,851018,467041,-1,-1,702546,704442,341834,665653,329279,-1,260694,157817,463632,-1,-1,-1,564587,284776,696976,-1,-1,403050,-1,-1,-1,-1,448513,786241,575422,45206,-1,-1,548973,-1,305693,-1,444137,-1,-1,375440,-1,-1,692950,48084,-1,-1,-1,627526,-1,309504,-1,-1,-1,-1,-1,579188,-1,-1,298823,-1,832657,-1,936436,957353,393197,-1,903301,235484,750636,-1,554111,-1,731837,-1,-1,251343,-1,-1,-1,-1,233588,-1,605819,153893,936094,-1,164640,858590,962741,633823,843666,-1,-1,-1,-1,-1,786317,-1,513515,888823,683155,-1,420627,722900,989476,-1,-1,-1,-1,-1,694402,-1,-1,55383,-1,323622,617958,772094,-1,-1,-1,-1,203547,639234,-1,-1,924468,237331,113275,-1,287297,-1,388251,666431,-1,-1,177109,881300,-1,-1,-1,-1,-1,321496,-1,451495,531368,-1,334580,18260,559406,-1,-1,462795,5389,566620,-1,509024,983966,851674,-1,382707,618069,634284,-1,-1,731840,-1,-1,-1,-1,-1,-1,991950,27957,936738,-1,105066,-1,-1,-1,-1,221430,324916,220450,-1,503062,-1,-1,928480,-1,-1,-1,-1,-1,819013,-1,-1,481123,254455,107842,-1,-1,-1,-1,304614,-1,883989,583454,106020,201085,-1,617995,-1,-1,652478,219397,-1,-1,-1,806393,121209,-1,-1,521272,944901,-1,44766,-1,639149,-1,-1,-1,628540,-1,-1,744333,-1,732682,51892,-1,449590,-1,-1,674589,-1,180285,866475,397395,470718,724662,-1,-1,-1,669521,-1,-1,688858,-1,-1,-1,459205,-1,-1,79745,-1,314865,121951,-1,251869,388654,532016,-1,-1,615361,788301,496811,452071,-1,-1,47467,102736,-1,-1,-1,-1,-1,540988,-1,68817,-1,-1,523962,509443,-1,271097,-1,-1,489820,345388,-1,762718,-1,-1,533260,-1,-1,-1,608294,501577,-1,-1,473840,-1,821413,549204,801773,319387,-1,-1,-1,-1,15571,137882,996665,512291,562659,94257,-1,687083,567837,451728,743019,-1,-1,271236,98725,-1,226892,-1,104106,513692,-1,512752,-1,234486,508612,-1,566524,-1,-1,-1,-1,128371,908300,745513,-1,887515,231851,-1,-1,-1,215512,-1,-1,437539,-1,700521,274269,-1,483467,-1,-1,-1,246917,-1,921314,-1,244602,-1,-1,-1,349988,942089,-1,-1,565982,169430,164082,-1,786133,-1,-1,-1,-1,-1,65205,501668,-1,628654,-1,137123,136919,58074,930574,-1,-1,-1,-1,-1,-1,-1,473502,400499,-1,-1,-1,971569,860891,-1,-1,573161,-1,-1,-1,-1,834632,890246,786195,375590,786052,415815,-1,-1,46696,-1,606148,473682,-1,-1,-1,-1,123167,-1,-1,-1,-1,-1,338177,110639,-1,-1,856657,221032,369777,511791,-1,-1,-1,-1,354107,-1,-1,376131,-1,899014,179808,-1,989605,-1,533504,-1,-1,967429,509959,331728,264227,-1,-1,-1,-1,-1,950104,597552,-1,471111,-1,-1,-1,-1,-1,225397,246866,375430,-1,-1,605193,647647,212188,152061,-1,-1,-1,-1,316732,518253,43653,739906,-1,903866,-1,-1,-1,857454,735112,-1,251274,-1,426604,710449,-1,280818,-1,52657,871412,-1,387026,-1,-1,397985,-1,132171,435650,-1,-1,-1,-1,-1,-1,639809,208473,-1,907846,-1,-1,-1,176316,-1,-1,-1,552881,-1,461561,-1,931326,-1,-1,-1,757061,377004,-1,160979,-1,-1,646377,-1,49825,-1,-1,-1,279450,98625,826192,-1,615774,137548,-1,-1,412127,294643,517885,918738,-1,792652,23294,953786,816124,462430,323890,-1,-1,-1,965270,58768,-1,-1,992755,-1,794245,-1,-1,-1,-1,582940,-1,-1,-1,-1,-1,401862,-1,-1,-1,-1,727362,-1,433358,622366,-1,-1,-1,663588,-1,-1,394885,-1,717043,-1,500844,-1,-1,963681,396318,654008,48299,-1,307618,-1,-1,169564,-1,-1,815095,-1,68856,-1,808942,-1,-1,-1,78418,-1,-1,-1,-1,-1,811046,761787,-1,11296,123300,-1,756298,-1,248237,787423,-1,-1,255883,281961,53103,-1,869577,-1,455905,-1,514770,530053,836256,470486,622087,526287,-1,316896,-1,585011,992371,-1,-1,383411,-1,679490,-1,229607,973033,-1,-1,491160,-1,-1,727295,-1,11078,267075,860125,-1,-1,407975,603799,452158,-1,-1,-1,358957,574723,-1,869657,930513,-1,815738,-1,765536,338288,749560,-1,176985,-1,207873,-1,643556,233078,809445,892290,-1,-1,28837,-1,188881,-1,888987,-1,289057,-1,466589,-1,271484,183125,-1,-1,14630,-1,619872,-1,483024,-1,-1,443694,-1,724527,-1,214490,150731,520305,-1,-1,351196,-1,567982,616964,810175,-1,490954,566435,136685,-1,889055,-1,513303,-1,137851,-1,580479,586335,558852,-1,56987,585354,907095,329535,684884,-1,-1,-1,118507,825566,-1,-1,-1,316841,-1,-1,-1,136147,-1,365737,-1,493218,-1,-1,-1,-1,-1,-1,147056,-1,42210,-1,860495,-1,220318,-1,-1,604063,547556,-1,24651,-1,366556,-1,-1,451390,-1,583893,-1,-1,-1,-1,-1,613058,884799,673966,-1,618328,526848,-1,233315,-1,699697,282805,598809,792677,697625,515441,947575,336176,927826,314181,-1,-1,-1,586206,313247,385511,819428,-1,-1,-1,-1,-1,-1,-1,523870,-1,-1,578300,-1,164903,-1,-1,956473,389609,705917,715764,-1,-1,-1,958807,-1,582287,3941,-1,-1,-1,560932,595863,494811,-1,313432,901586,-1,564987,-1,888696,-1,-1,753424,-1,98995,513419,-1,296620,-1,-1,-1,589149,-1,880281,-1,-1,653727,153670,-1,-1,-1,895171,-1,536428,506753,-1,-1,483983,-1,984124,-1,890029,-1,-1,461303,-1,-1,56956,-1,267847,53292,62115,603725,574157,989263,-1,-1,-1,201489,-1,108143,-1,155910,674205,-1,-1,891760,-1,909288,386090,292362,490811,634919,-1,27560,239488,367542,-1,361415,-1,497196,121162,-1,489171,419663,390145,304567,-1,-1,-1,-1,-1,-1,-1,-1,163211,-1,935171,615114,-1,-1,797504,-1,50157,122060,706177,15164,-1,702926,-1,-1,346029,264614,-1,-1,-1,403040,-1,335512,-1,-1,485574,131079,383587,-1,-1,-1,226694,-1,-1,759853,-1,818688,491834,-1,-1,595537,418645,-1,-1,859398,111766,-1,-1,774154,154765,-1,-1,-1,438838,761988,576148,625107,84448,304921,934873,657391,-1,-1,-1,961248,-1,63675,-1,452820,599029,-1,-1,-1,-1,-1,-1,-1,211459,376781,-1,-1,505388,-1,791920,-1,675972,-1,364399,-1,323157,323330,-1,118680,752149,586291,240994,5158,-1,-1,952913,-1,56393,971250,850387,192393,131261,883505,-1,905259,-1,-1,973774,-1,-1,-1,767710,497007,-1,873340,983492,-1,-1,-1,116362,447367,363978,692048,-1,124711,-1,-1,726299,-1,994826,726457,830547,-1,-1,81514,-1,-1,263148,-1,196711,-1,294276,-1,-1,-1,-1,-1,308031,-1,659282,-1,193788,458853,-1,397569,-1,-1,138122,-1,-1,-1,905796,-1,214630,296246,-1,-1,771997,-1,958398,847009,447357,215400,-1,-1,316614,485662,-1,341035,454387,859991,-1,556731,506982,852437,945008,30016,911261,-1,-1,918554,-1,-1,368422,992640,199660,-1,456021,232534,-1,-1,418683,962026,969879,-1,611462,173591,862208,-1,971706,787700,582923,679321,-1,-1,-1,-1,-1,-1,-1,-1,229658,-1,898072,-1,-1,-1,-1,-1,-1,-1,-1,925658,808903,131074,-1,363050,808974,844706,512402,60422,-1,-1,-1,781309,-1,705898,521244,62220,51763,798335,170620,5474,534046,-1,-1,379855,-1,35559,876882,703237,358187,-1,-1,-1,112128,-1,-1,423118,-1,828737,533986,231253,705206,-1,-1,-1,-1,-1,-1,261402,183993,860076,-1,765638,283257,274298,108055,170735,601254,-1,598175,-1,81176,119510,752629,307527,232827,219845,-1,-1,-1,-1,-1,-1,246177,-1,-1,234595,361390,-1,391898,161404,427265,-1,876621,840253,-1,-1,-1,-1,735623,15668,-1,-1,76158,-1,672928,-1,-1,4901,854519,-1,-1,-1,-1,676666,-1,753420,-1,-1,1105,-1,825049,-1,-1,-1,-1,300168,823182,-1,700580,460053,-1,-1,-1,506167,122638,280452,-1,902114,270009,901144,-1,907149,291078,511365,-1,-1,-1,-1,-1,638189,755577,-1,393813,-1,304454,376418,-1,601057,349089,315374,883606,86793,405335,-1,-1,-1,-1,352723,-1,484622,495784,-1,615431,759092,664771,24013,-1,223354,-1,119040,-1,252513,375932,-1,-1,-1,680224,92513,-1,-1,148894,101941,-1,-1,945888,-1,117801,-1,-1,717102,412025,-1,-1,-1,685018,207604,-1,765995,130009,-1,-1,758878,940461,884324,-1,207735,327902,-1,-1,450900,-1,-1,598708,-1,-1,746810,770470,-1,-1,488855,711026,-1,689433,-1,-1,835256,-1,-1,464520,36015,-1,475623,440727,-1,-1,-1,-1,-1,92466,-1,-1,65496,708011,841495,956798,425560,-1,-1,708839,364008,859387,-1,-1,38639,-1,565421,-1,849122,-1,554159,310483,15367,648206,-1,419693,963372,-1,64960,-1,671679,717078,-1,713474,-1,-1,-1,-1,-1,853839,-1,-1,186305,-1,21080,55416,-1,-1,-1,579826,144000,-1,23112,745641,816656,585229,-1,-1,-1,4251,494835,143869,-1,-1,79233,514494,-1,37595,18189,-1,257293,276043,-1,-1,913158,943449,-1,-1,730923,-1,-1,-1,-1,39637,-1,-1,880574,-1,147683,-1,-1,796417,-1,376146,965245,-1,355071,-1,579967,82099,-1,627757,-1,-1,423687,85016,-1,143413,617362,-1,-1,-1,-1,430786,302398,-1,-1,-1,106452,406443,-1,-1,636354,-1,408611,-1,-1,-1,-1,66377,195954,370613,135790,-1,84066,-1,-1,-1,-1,-1,-1,392465,556653,784018,-1,-1,24056,-1,-1,219359,171170,249296,448653,-1,-1,408374,-1,505552,-1,133560,167012,303951,934854,-1,486890,814797,-1,-1,-1,255230,602693,-1,964133,496977,-1,42969,-1,39667,133741,366984,778808,882717,578421,559818,-1,838691,-1,985623,39588,-1,662311,521980,-1,-1,612665,328228,-1,443846,10606,847724,857241,734338,320000,-1,-1,-1,441431,-1,298037,188859,326950,862238,369944,627941,194163,-1,-1,-1,-1,136532,940881,476178,69661,-1,-1,208863,482111,-1,550352,313003,600263,-1,-1,349967,-1,-1,956147,-1,450931,-1,555297,959454,-1,642454,-1,504604,807620,849929,-1,-1,-1,253505,596771,-1,100856,-1,329889,-1,-1,747101,15493,-1,56156,223630,572148,723696,-1,644997,329308,-1,722119,-1,859443,342106,992293,160016,411746,-1,934421,218580,-1,-1,460039,835720,191837,-1,430114,-1,826353,-1,-1,274390,-1,-1,799638,648770,327936,703493,796237,298055,-1,-1,-1,98780,659041,76168,-1,-1,377442,-1,373394,759932,-1,-1,-1,206843,-1,-1,-1,-1,894259,487013,320948,447673,-1,343641,-1,-1,602712,-1,-1,-1,-1,339512,838379,807464,-1,-1,36367,-1,-1,232031,678074,431982,-1,484084,9170,862515,-1,-1,1184,-1,44718,-1,948101,708540,-1,851214,183255,-1,-1,454671,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,806320,-1,278964,-1,-1,-1,315311,-1,-1,153130,-1,657321,547880,801276,-1,-1,137736,-1,37636,378851,734708,-1,-1,-1,-1,-1,-1,-1,-1,709780,351006,805927,991106,-1,925125,-1,-1,874324,785170,427696,546365,-1,-1,830316,-1,608247,118867,-1,166109,301356,305248,403730,233488,951289,-1,180444,-1,-1,342886,-1,-1,-1,-1,-1,-1,498089,940616,-1,472514,501154,-1,547756,902639,-1,-1,920104,-1,341868,108880,675753,248694,-1,188473,9147,-1,263688,-1,422104,132015,62877,-1,811754,466426,450541,303938,-1,20964,217057,298859,504002,-1,443499,-1,704397,-1,-1,-1,-1,-1,290375,-1,545561,-1,-1,657433,-1,685734,124006,868534,-1,3862,-1,595575,-1,-1,245310,848893,-1,482358,907037,86505,-1,-1,471763,11465,-1,465589,136978,-1,246329,95660,717908,331774,894759,286607,-1,-1,-1,565583,634346,69580,-1,462200,471058,-1,-1,-1,844797,-1,737811,-1,894954,193599,492583,154550,548633,39458,19785,-1,-1,418939,524756,675212,-1,-1,-1,665042,-1,384305,-1,-1,-1,360673,-1,599501,-1,721973,779427,-1,993969,308817,-1,652508,-1,147191,-1,986052,-1,206574,518559,59584,13750,-1,-1,-1,-1,264584,-1,180732,-1,5392,851532,-1,792789,-1,-1,-1,-1,349914,743716,711691,-1,193460,-1,958242,-1,459223,-1,-1,351145,-1,-1,-1,-1,655698,267434,-1,323374,835338,797912,-1,-1,932420,-1,301910,-1,169676,-1,-1,-1,-1,-1,-1,-1,-1,58506,65653,-1,750787,152639,-1,864287,-1,-1,663973,258002,-1,-1,-1,637254,479491,615,-1,930336,-1,-1,-1,-1,743705,722834,-1,-1,768081,-1,-1,-1,137358,-1,238242,280222,499303,-1,-1,636802,-1,-1,99626,-1,732226,149153,585762,678446,336643,-1,649557,15933,799385,-1,-1,384736,587040,-1,-1,457648,17344,-1,-1,-1,911741,568163,334904,-1,-1,353098,366312,584505,-1,-1,718368,-1,-1,-1,708555,621015,70898,462629,871565,666417,-1,-1,-1,-1,214869,828606,-1,180909,-1,844725,832621,-1,69869,-1,-1,-1,-1,110379,865735,-1,385201,-1,-1,978600,-1,539803,-1,309294,-1,-1,444426,-1,-1,366133,-1,-1,909051,-1,-1,-1,594215,-1,-1,-1,678542,66311,-1,483310,667205,-1,716572,-1,-1,4666,59914,122555,-1,-1,-1,-1,774596,644136,354538,-1,16766,-1,558102,967977,595869,-1,924559,851524,-1,-1,-1,-1,-1,400187,-1,-1,-1,307180,-1,183444,-1,494773,914499,-1,-1,293817,-1,319599,-1,329232,-1,774787,589806,424143,-1,-1,487836,-1,758532,-1,-1,-1,561634,-1,688113,325968,930662,525282,-1,-1,607813,-1,601090,241415,72443,910132,149190,765445,-1,879135,-1,207004,668909,-1,-1,-1,-1,428415,998095,271043,-1,-1,-1,-1,-1,644982,784794,114912,-1,-1,-1,-1,320380,-1,-1,463090,568120,-1,-1,644178,915529,-1,-1,756734,-1,-1,978011,696646,-1,-1,86421,-1,-1,520645,-1,-1,542232,269469,-1,-1,802263,-1,734683,-1,128027,-1,-1,-1,281277,153571,698533,480946,-1,395987,390604,592996,204401,81695,912995,-1,693213,276492,-1,-1,721304,909987,-1,787026,775908,995298,-1,-1,541703,78024,-1,733179,793735,615427,-1,-1,-1,-1,-1,-1,438974,-1,231543,-1,283939,-1,-1,972573,738910,-1,202921,-1,548554,-1,-1,45313,421854,933871,-1,340400,-1,-1,27551,923619,-1,570640,283471,361955,-1,361936,-1,995731,-1,599885,366198,-1,-1,-1,271409,-1,-1,673443,-1,802497,-1,892176,91726,-1,-1,988696,-1,-1,-1,-1,927773,-1,291995,-1,-1,-1,892062,-1,-1,-1,841963,806941,481009,-1,474748,982244,923444,-1,-1,470734,51429,948346,-1,-1,668976,617714,885360,291699,-1,-1,541563,610922,-1,-1,132106,-1,483118,-1,-1,-1,393691,-1,-1,-1,513469,-1,-1,-1,668758,98479,720904,691081,88698,561798,-1,923289,348964,-1,-1,-1,69530,916206,458751,-1,-1,-1,-1,-1,-1,-1,840677,399622,-1,-1,-1,573591,489755,-1,-1,-1,-1,101017,-1,721007,884320,-1,709787,323545,867756,360251,-1,-1,476200,827900,302331,-1,428145,779716,-1,741546,-1,-1,402204,-1,456822,842496,-1,335997,268271,797229,-1,440195,230705,809521,150183,-1,-1,488660,-1,-1,626944,-1,128200,-1,-1,-1,805057,428421,-1,515639,-1,720863,416844,269146,-1,-1,785097,619026,-1,-1,125000,-1,-1,-1,356451,505489,867443,-1,756381,-1,-1,127015,-1,233915,-1,-1,-1,-1,-1,633112,445129,-1,-1,406961,204680,460009,-1,-1,-1,-1,-1,626788,-1,-1,-1,146642,573894,-1,-1,953267,649429,-1,142160,-1,485920,-1,35436,199363,-1,911397,-1,452895,905215,27753,992169,-1,518229,267076,531060,-1,990126,-1,131049,-1,-1,-1,57518,-1,130622,768203,-1,838056,-1,440924,835849,-1,782444,524140,263615,770765,908597,-1,98512,-1,-1,825636,-1,-1,-1,637213,-1,-1,413222,-1,587197,790073,926369,449711,-1,-1,867775,85346,-1,969028,-1,912400,184680,-1,-1,-1,263068,-1,-1,995075,-1,-1,-1,-1,275858,602580,557013,497702,-1,533704,512552,-1,-1,24568,423904,-1,683395,121086,-1,930126,771891,-1,959204,-1,162782,987854,-1,186999,-1,957869,717248,-1,-1,278333,542007,-1,-1,-1,345203,-1,312462,586784,-1,689867,-1,939957,-1,822708,761875,-1,-1,-1,-1,502313,652098,-1,-1,631638,754275,997355,158458,-1,507001,-1,-1,-1,-1,997778,906836,-1,-1,210769,-1,920441,222372,601215,280042,99879,49701,690598,-1,-1,252994,-1,563546,282085,-1,501206,-1,737707,832752,-1,530438,-1,55386,-1,821073,-1,-1,438545,969855,59809,-1,-1,-1,311577,-1,635889,638048,-1,905768,-1,589257,-1,-1,-1,611278,186454,691683,484501,253344,172834,-1,560633,943852,-1,714312,287999,-1,786471,960398,753405,98336,707855,-1,-1,-1,-1,434676,26490,-1,-1,288585,90515,786336,406375,720891,-1,-1,285558,-1,-1,-1,77588,-1,911636,846952,191311,213494,-1,-1,309493,-1,-1,413237,13699,-1,-1,357417,-1,-1,896343,14892,-1,209108,826064,-1,210308,-1,311586,-1,582129,-1,386629,490998,350719,-1,-1,916997,208903,-1,771936,-1,-1,237943,170331,-1,937300,482065,783595,6982,-1,504243,-1,-1,-1,-1,615990,985330,590698,5149,517189,46407,935766,59984,-1,890918,-1,565091,-1,973394,405232,-1,-1,-1,90937,-1,366142,-1,-1,809632,-1,-1,-1,669869,921583,717196,-1,3042,-1,994047,691555,-1,-1,-1,-1,990128,-1,852704,705881,934598,-1,-1,826111,-1,107910,843446,53228,-1,-1,-1,-1,401286,-1,-1,-1,70848,680596,-1,644355,-1,984427,-1,697370,112584,818144,287367,105621,453429,86805,744607,-1,-1,-1,443247,-1,749620,313661,-1,586550,-1,179690,-1,164724,-1,753876,172854,-1,-1,792890,643167,-1,723357,-1,356436,382086,-1,-1,25758,119179,-1,-1,560484,-1,-1,-1,568207,810029,700874,-1,651043,-1,10144,-1,588108,368372,70754,50084,746904,-1,385294,-1,-1,-1,-1,204498,-1,-1,-1,-1,733582,885935,458954,590508,233168,143385,-1,-1,429647,-1,443678,-1,389167,-1,771517,261097,37237,953002,-1,-1,-1,119601,531336,731821,964436,-1,33948,425822,-1,606562,109863,-1,-1,-1,622935,782841,854074,643342,263122,825768,-1,-1,195618,-1,-1,921859,638801,-1,319495,-1,454849,399724,-1,-1,-1,-1,367757,-1,540209,-1,566761,612079,-1,463268,-1,833428,-1,436317,-1,-1,559151,828793,-1,871966,-1,904596,306004,-1,393720,-1,-1,-1,209173,-1,-1,-1,-1,553318,-1,1249,-1,-1,587524,306909,433007,392891,-1,-1,775314,893345,77971,-1,-1,826048,828884,-1,329352,-1,-1,-1,-1,-1,376133,590806,285697,512632,871962,-1,-1,563744,576931,938365,274516,764192,-1,621145,348333,-1,975296,-1,9109,516415,884722,-1,-1,-1,776408,-1,945643,-1,801069,20159,-1,-1,795457,300065,587868,-1,-1,188895,-1,947869,-1,-1,-1,-1,997158,-1,-1,525079,639646,929956,525534,383553,861365,-1,-1,-1,-1,-1,812949,-1,-1,252357,-1,-1,-1,468003,597160,272609,538592,914495,-1,340635,236907,-1,-1,299366,807026,-1,828008,-1,-1,-1,396033,344124,71094,322828,157136,983173,532799,-1,174790,328808,-1,116613,519077,583201,171836,-1,-1,226099,630969,-1,-1,818235,926592,822728,-1,-1,5953,158097,-1,-1,192594,-1,694935,228228,-1,386402,966347,-1,-1,410114,-1,955609,931741,33151,-1,606496,-1,179786,841997,682006,483244,-1,209556,200567,-1,-1,-1,-1,-1,717927,-1,-1,741884,-1,-1,-1,-1,437476,197239,489213,-1,525267,-1,922098,-1,-1,-1,-1,-1,-1,-1,-1,-1,982907,609586,-1,158937,716881,729190,964765,583839,-1,-1,-1,373222,174372,378712,219880,440092,44556,290336,857164,-1,232002,672258,12424,-1,811055,-1,-1,-1,124096,-1,470515,-1,-1,469345,174228,-1,-1,199168,214745,190388,944141,716038,177859,93191,-1,-1,-1,272085,693621,234106,413609,642109,723812,136989,-1,-1,-1,-1,151289,319555,409491,607430,-1,387361,83123,158164,-1,682709,-1,-1,-1,644436,-1,971362,-1,-1,-1,-1,798731,-1,276069,582871,-1,823963,767514,599401,267205,997646,715959,-1,-1,572748,-1,848331,708222,-1,138924,-1,-1,423062,-1,-1,665567,239158,-1,-1,641817,321049,125096,5419,-1,343465,804735,867368,-1,277628,-1,854591,401269,200297,995044,732002,532900,-1,506310,-1,959113,-1,538595,-1,581411,594026,993061,-1,-1,-1,703639,-1,-1,18410,148527,346619,-1,-1,-1,-1,-1,-1,-1,-1,664839,-1,-1,135133,467851,-1,-1,-1,384938,582919,434591,-1,-1,-1,-1,638815,-1,938377,638109,-1,845677,268620,-1,-1,-1,-1,110100,92320,955820,-1,-1,-1,996186,818869,-1,520539,975631,930916,910972,577956,-1,976837,307275,513150,545224,522721,424984,-1,871749,-1,-1,-1,629168,-1,-1,-1,277916,-1,311354,-1,-1,-1,451898,420218,-1,-1,497932,667107,-1,-1,592853,913901,981437,-1,277573,543662,-1,-1,-1,-1,193651,824642,353422,232694,676126,777349,-1,771640,-1,633912,-1,879885,597271,-1,480687,248608,332890,780255,226971,-1,53373,-1,-1,-1,-1,-1,71486,-1,945125,-1,-1,-1,-1,511993,-1,-1,863143,-1,823019,-1,-1,-1,-1,-1,402587,-1,-1,73970,389749,771656,981784,942978,499116,-1,31764,224694,874842,572042,306111,350794,9880,-1,570356,-1,-1,158548,-1,381682,905133,298767,379352,28929,958772,-1,-1,-1,-1,-1,702325,512250,-1,203057,-1,488583,-1,943001,128492,541777,386728,-1,109103,380616,-1,-1,-1,455982,-1,-1,-1,541586,-1,678214,709480,458070,-1,-1,699565,-1,914169,-1,-1,483179,479670,-1,-1,-1,208752,-1,-1,-1,621279,-1,-1,-1,735192,982612,-1,70501,-1,569394,739141,-1,-1,516457,-1,-1,551488,-1,711989,332771,-1,131992,143190,303865,-1,-1,-1,-1,839034,750212,-1,432561,-1,-1,578272,758872,575161,34872,64018,846410,-1,176109,-1,-1,977684,233282,-1,72855,76562,-1,347085,265515,848032,631470,-1,-1,696468,-1,600752,766729,-1,-1,-1,362248,-1,-1,205555,235623,761742,324003,-1,887165,12485,271572,-1,-1,-1,421065,-1,-1,-1,-1,723302,-1,-1,-1,-1,-1,204389,425006,-1,-1,477973,-1,-1,-1,-1,-1,-1,-1,38996,-1,110549,242105,-1,467484,-1,217905,758668,-1,112366,237430,-1,326069,-1,231002,495164,268592,988343,-1,-1,-1,221490,-1,694283,-1,860373,-1,692620,780467,-1,855725,295371,-1,-1,-1,-1,-1,825755,758972,874258,13907,-1,149002,-1,-1,-1,654066,-1,-1,448683,976738,151294,-1,423132,-1,-1,-1,-1,955972,465450,-1,351183,-1,660521,486844,625492,-1,480231,-1,760255,776989,450623,934540,-1,-1,255805,340621,595501,559583,-1,-1,-1,765896,610482,838830,815754,123481,-1,-1,822288,-1,774410,233614,327967,777233,-1,876448,48661,-1,-1,-1,-1,986732,-1,611542,985683,-1,927280,835210,-1,-1,373563,395565,-1,-1,301575,794792,116541,927791,-1,686707,763988,-1,-1,-1,-1,743035,-1,-1,637668,718853,975823,-1,460472,966589,743976,-1,-1,708075,52445,297091,968318,870726,907480,539247,-1,21533,-1,192639,-1,539241,205029,-1,-1,110456,954301,-1,-1,198255,564927,-1,-1,-1,517289,579560,306015,-1,-1,-1,309568,-1,-1,-1,-1,330104,527870,-1,-1,344313,-1,-1,765271,-1,-1,-1,-1,182258,496971,-1,-1,523114,851959,-1,-1,-1,-1,222736,-1,-1,69792,-1,-1,-1,476718,-1,-1,-1,868541,-1,94106,-1,273422,972773,-1,-1,480053,111242,917017,-1,-1,935575,204519,-1,-1,-1,508547,-1,-1,224577,-1,908919,-1,403977,604273,-1,-1,-1,355496,-1,572105,402191,30466,489638,-1,995203,598650,876677,821603,-1,30249,476247,-1,274309,-1,-1,179365,-1,-1,-1,-1,-1,49970,-1,611655,762134,-1,323911,-1,490453,-1,-1,456701,-1,-1,-1,-1,124238,995764,882793,-1,-1,536685,852401,399611,749368,529155,-1,-1,337754,-1,-1,621358,-1,-1,-1,-1,375224,-1,-1,-1,-1,643815,857020,983295,-1,492646,-1,137888,-1,-1,-1,779312,-1,233147,-1,396529,238302,501162,-1,-1,449652,-1,-1,172026,-1,171938,-1,-1,-1,-1,150370,-1,325510,39791,-1,879451,-1,241453,864749,179366,334215,541715,664583,-1,935497,-1,-1,-1,-1,-1,27627,713418,570065,103400,602406,748443,-1,549626,26709,-1,-1,563633,-1,-1,389060,-1,522193,-1,202991,-1,-1,-1,-1,-1,-1,-1,-1,-1,661850,-1,-1,362478,-1,-1,-1,-1,835799,737613,-1,-1,155349,-1,-1,997241,-1,-1,159722,867021,-1,-1,215536,-1,-1,-1,396185,836500,-1,172997,763038,-1,556259,440174,287042,-1,-1,-1,-1,-1,595316,56683,313352,-1,-1,-1,-1,772955,339696,-1,-1,152499,554482,243575,-1,584256,-1,266033,836466,857704,671922,-1,-1,315037,-1,-1,-1,666093,-1,26164,-1,771753,346671,616237,-1,66773,-1,-1,-1,687108,998886,984397,-1,769843,-1,-1,-1,39831,-1,141713,-1,731120,-1,-1,545196,-1,-1,-1,902611,351809,-1,-1,-1,690204,648292,46925,714256,-1,-1,-1,-1,139607,365182,261325,732092,6968,808573,304863,-1,-1,-1,-1,652611,594141,723496,-1,195745,271304,-1,521566,-1,687540,644767,-1,10278,420116,-1,-1,-1,-1,490512,-1,623994,-1,-1,-1,-1,-1,231463,-1,29931,-1,-1,592705,55793,-1,-1,503795,906832,-1,611839,543782,-1,689037,-1,485145,-1,-1,-1,-1,-1,-1,-1,248753,428844,709962,574118,63629,741538,38757,-1,-1,-1,-1,-1,352323,-1,252547,264408,-1,-1,-1,765177,148677,839859,506196,359448,-1,278954,185200,682454,235937,746914,-1,-1,-1,321308,240693,-1,-1,477468,-1,-1,-1,469170,73218,-1,135095,-1,864096,359255,-1,623689,315080,625430,-1,-1,595521,674974,570692,-1,537563,301933,918834,789902,-1,937347,226468,-1,539273,-1,-1,56246,159980,-1,398915,-1,309217,-1,949846,585155,243572,-1,514695,-1,-1,69044,926075,925344,155080,567221,-1,533335,-1,-1,672399,690097,-1,-1,83098,-1,-1,-1,262101,-1,781999,-1,449819,-1,-1,888748,-1,-1,611224,-1,352504,899130,242566,134522,-1,-1,-1,779439,127050,608795,-1,714668,-1,240625,-1,-1,513853,543599,-1,-1,778396,699567,119968,-1,525238,961108,-1,80009,-1,664190,-1,-1,-1,-1,346937,84875,-1,-1,-1,-1,-1,123022,33672,-1,522334,-1,-1,674204,558190,-1,622214,186906,848765,601009,-1,218230,926455,-1,-1,-1,-1,-1,-1,-1,548530,-1,253797,839550,593204,-1,-1,-1,-1,555215,711743,715551,-1,-1,-1,-1,-1,-1,597712,793183,286556,16152,-1,796397,850302,-1,-1,-1,295125,-1,-1,-1,123914,-1,946076,-1,-1,-1,-1,-1,893557,-1,-1,-1,103107,82730,454642,73180,-1,-1,138904,512028,-1,-1,-1,423848,-1,438159,297270,741124,-1,535505,-1,-1,-1,-1,-1,244412,718793,-1,-1,-1,-1,-1,143142,-1,203998,207096,346860,-1,-1,-1,-1,-1,402681,-1,-1,-1,-1,-1,-1,-1,717979,282902,-1,-1,626423,-1,-1,-1,-1,-1,488808,-1,401232,-1,-1,208585,515545,-1,41458,348510,-1,-1,491983,743447,697515,899061,188630,-1,182529,-1,-1,792831,11922,-1,209919,641989,509674,-1,759808,-1,-1,81373,129634,670524,-1,291154,-1,-1,-1,-1,-1,-1,497705,913386,714209,-1,620573,245733,-1,-1,251640,680116,-1,-1,-1,19174,547147,-1,-1,560677,776731,719762,42489,-1,949331,488681,-1,-1,215478,752303,520535,630479,-1,820904,45509,-1,840055,-1,161341,-1,917429,630999,733724,-1,-1,-1,-1,457100,-1,292677,243817,990395,-1,192772,143289,-1,-1,-1,624756,-1,-1,-1,-1,820809,-1,-1,578158,-1,991627,173682,623779,-1,-1,-1,-1,-1,697935,763216,354368,-1,396276,408864,112416,-1,999858,-1,-1,319675,818189,-1,133406,-1,-1,-1,-1,604146,-1,-1,541024,-1,146119,-1,-1,-1,84449,-1,-1,-1,230634,-1,-1,869086,272338,-1,-1,872758,-1,827490,-1,228132,-1,-1,-1,-1,819755,601231,398780,-1,-1,715913,-1,-1,139221,-1,-1,-1,-1,778354,-1,-1,506511,65277,-1,-1,347909,528064,39607,447304,427157,-1,631968,308220,60072,-1,341038,-1,646046,374638,636989,-1,135021,-1,123674,916398,-1,712964,868608,784963,30569,-1,13165,787783,100989,-1,-1,-1,870568,-1,-1,-1,-1,-1,-1,830758,-1,-1,-1,-1,623417,588318,521463,-1,-1,-1,-1,484661,597090,993079,242196,-1,318767,404461,-1,213766,578533,863951,-1,-1,508737,-1,-1,-1,96462,541517,496781,781249,360319,65209,789103,248866,-1,505968,-1,751166,696362,399321,-1,333003,-1,-1,-1,-1,314650,146019,-1,281844,-1,-1,157212,619987,-1,-1,805026,101702,-1,617860,-1,-1,-1,-1,403972,921363,446932,494332,324401,447560,297642,657644,210490,-1,-1,879083,283740,312988,-1,-1,-1,-1,-1,-1,683374,924618,-1,612118,-1,-1,-1,572785,-1,-1,-1,-1,-1,-1,-1,-1,-1,302243,103691,350567,-1,-1,285651,-1,47785,-1,-1,401609,837611,981940,-1,-1,26168,-1,190244,80792,-1,352697,262354,768513,699914,903219,161011,-1,767720,-1,630730,49224,-1,-1,-1,862076,627567,-1,-1,-1,-1,329803,826065,-1,-1,113711,185156,774931,415844,-1,411668,962267,-1,679114,545932,505103,-1,765169,879664,-1,895299,198497,633144,-1,-1,622046,306823,583995,785066,-1,-1,-1,-1,-1,-1,616970,792412,-1,-1,-1,-1,420010,-1,126603,-1,-1,354683,-1,159760,-1,362153,-1,-1,-1,242429,-1,442631,632730,-1,-1,613965,111798,-1,-1,33747,-1,1385,444673,-1,512657,500886,-1,-1,855157,304831,201556,-1,-1,827578,-1,-1,-1,-1,899353,-1,425047,469106,538974,-1,-1,736210,-1,944756,-1,359675,483069,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,540383,-1,-1,644184,770547,121149,-1,-1,-1,-1,-1,655459,-1,879018,-1,-1,-1,-1,-1,345602,-1,633056,989773,-1,-1,-1,189481,774165,80251,-1,800646,-1,-1,746584,537016,186546,838130,116373,95890,-1,520941,-1,-1,185519,-1,475318,-1,886620,734532,-1,-1,842509,-1,720985,176371,610246,-1,742538,529379,755544,103452,-1,-1,511675,-1,319934,82332,-1,-1,-1,991467,-1,349898,-1,-1,289910,965415,-1,-1,117561,878631,863896,570379,-1,55785,-1,-1,-1,685980,-1,334796,650427,-1,-1,-1,-1,-1,740170,602896,935113,901036,-1,542979,-1,-1,-1,-1,192648,210595,-1,-1,-1,-1,606729,143754,519726,-1,-1,574573,-1,689513,-1,-1,237319,968004,-1,-1,-1,-1,-1,-1,230538,-1,-1,331187,676689,640430,-1,490688,842567,930581,44786,-1,313534,662630,282400,442010,941516,-1,-1,-1,342637,-1,481081,-1,547165,-1,643436,103471,882987,957786,305753,-1,949163,110180,361567,277087,700563,428138,-1,681762,-1,435827,503659,874404,-1,665740,648113,416032,-1,-1,840378,-1,402801,486149,385013,340698,-1,-1,597476,361129,218247,595726,223709,-1,-1,267385,-1,632483,236256,-1,940990,-1,933429,-1,-1,110895,540679,-1,142284,-1,293298,721062,-1,761876,676355,420410,322597,941307,609132,763973,571269,-1,737027,-1,-1,-1,-1,-1,-1,165232,-1,481552,-1,-1,685654,275364,953312,-1,13896,757401,152522,748796,-1,503553,-1,939428,-1,-1,-1,89810,-1,591503,577769,187694,-1,845370,-1,-1,995423,-1,304472,-1,-1,174007,590858,227468,-1,195076,-1,-1,-1,-1,-1,97529,-1,282525,937334,48124,731479,712396,105968,-1,150191,530981,-1,586031,837852,-1,533531,-1,-1,279373,-1,747225,-1,917310,376509,17740,238989,589333,-1,313737,-1,-1,713271,883669,935057,124627,-1,-1,553164,670630,-1,-1,-1,784110,387607,-1,-1,-1,-1,-1,-1,505662,-1,-1,107266,-1,-1,-1,445026,592814,99731,-1,312489,530758,564950,-1,255825,215530,880452,-1,321948,-1,773491,-1,-1,834500,784079,-1,-1,419543,-1,322581,265157,651971,428728,201292,-1,607225,97677,-1,-1,-1,-1,-1,96059,290199,778572,-1,-1,680290,42753,-1,-1,-1,-1,-1,-1,-1,881347,-1,154970,-1,441269,-1,132939,-1,-1,138753,95413,345737,225847,-1,997963,-1,570616,-1,-1,176957,699797,-1,-1,-1,-1,-1,176254,-1,260127,278361,-1,-1,-1,-1,-1,76433,337579,955236,269543,-1,25343,487825,-1,-1,343453,468002,-1,-1,-1,-1,-1,683315,-1,989185,-1,501273,-1,-1,117825,246494,992418,-1,543459,769227,-1,-1,-1,920300,-1,-1,-1,-1,510448,972938,101793,762438,-1,-1,165919,-1,548508,869470,260040,-1,47799,-1,170776,248191,673282,-1,375313,-1,609848,-1,-1,160793,-1,-1,-1,-1,269722,-1,525333,-1,-1,-1,899356,-1,795453,425533,-1,513446,870848,-1,530102,-1,799316,80945,415910,972892,155726,-1,-1,674585,-1,-1,282981,-1,-1,330607,231391,453819,900132,313573,758663,625947,-1,113464,466543,143066,-1,-1,-1,450521,-1,-1,59206,-1,-1,-1,-1,309306,-1,-1,921927,-1,73293,-1,512364,-1,-1,316118,109385,725399,-1,428609,75459,-1,-1,762405,336908,920746,331022,-1,-1,232417,-1,852451,567147,-1,31903,168561,-1,130698,441691,635931,-1,202116,23638,-1,-1,-1,-1,720949,499709,242817,-1,677173,-1,287374,301828,-1,-1,850936,-1,-1,105596,-1,-1,-1,-1,-1,440566,318382,491330,655969,-1,641725,887437,493697,-1,106147,-1,-1,901528,-1,-1,110722,696577,-1,380532,575817,635370,743316,247070,-1,214874,66700,740716,90551,781601,292777,136963,-1,382245,940356,-1,575983,662197,849699,-1,-1,420860,-1,-1,154101,-1,-1,651869,-1,-1,-1,-1,31933,-1,834054,-1,-1,537515,-1,69517,-1,946793,738785,785037,966386,-1,-1,165143,188019,-1,497009,392812,-1,-1,-1,948910,694084,-1,-1,-1,-1,-1,-1,-1,823884,87322,626704,792379,-1,-1,618490,665482,395196,-1,-1,-1,-1,-1,-1,434084,-1,70681,482408,-1,263248,-1,425643,-1,-1,-1,-1,548054,-1,-1,258310,-1,336826,957600,-1,-1,41301,994715,-1,190796,-1,50003,-1,-1,-1,-1,261281,-1,-1,-1,-1,92661,-1,-1,90365,536660,982566,-1,486215,-1,-1,-1,356467,-1,-1,-1,-1,-1,-1,-1,496112,239233,637384,219196,-1,559682,-1,841596,-1,33103,-1,967669,964319,91539,-1,579310,735153,883564,393733,656487,-1,809759,-1,4267,-1,381108,-1,556002,-1,-1,558481,-1,-1,-1,-1,416515,687910,-1,775961,-1,419027,-1,717382,820638,-1,-1,286378,-1,160008,721985,244562,183942,-1,-1,-1,601133,-1,-1,277720,935861,-1,830415,665788,417046,501413,951018,-1,424133,125699,-1,480466,-1,135966,940841,66566,304005,-1,278149,-1,696618,444017,-1,-1,-1,635812,363999,-1,23248,344061,-1,867187,94237,-1,83533,-1,-1,-1,-1,-1,-1,653885,-1,835568,-1,-1,679615,-1,-1,731393,854655,-1,870310,-1,-1,922875,-1,631797,642246,626616,748026,485734,335718,979743,-1,538084,-1,-1,-1,55267,166689,-1,-1,-1,596364,307546,586737,-1,398721,136965,-1,-1,359662,709138,130348,-1,274804,670626,-1,-1,-1,-1,127595,-1,460861,-1,-1,357167,-1,95206,-1,595889,-1,-1,-1,-1,-1,452676,385859,-1,-1,154624,-1,-1,-1,-1,-1,707431,-1,-1,-1,-1,-1,-1,-1,785680,303230,-1,488521,-1,-1,355519,-1,754981,231987,143368,980227,-1,988112,471788,-1,-1,219642,-1,-1,114365,-1,475277,810350,-1,-1,622661,-1,486106,950947,60955,427291,46957,-1,-1,-1,187170,-1,573540,199111,-1,-1,-1,-1,-1,967196,613076,-1,-1,238522,778031,312682,-1,-1,-1,809353,-1,-1,218811,-1,211788,-1,-1,7758,290525,630133,-1,-1,-1,-1,-1,-1,192565,45911,331300,587322,-1,-1,-1,-1,-1,148494,-1,-1,-1,141262,412357,-1,165064,-1,-1,-1,-1,-1,36194,-1,-1,675057,982924,-1,-1,-1,-1,83892,571173,577610,-1,-1,851211,-1,170145,-1,-1,-1,266873,306526,-1,-1,-1,818264,-1,503774,-1,-1,202490,932476,-1,-1,-1,-1,285257,345456,-1,859218,-1,-1,925303,-1,433718,-1,-1,959664,-1,649994,522178,27092,-1,-1,215615,-1,96701,-1,-1,-1,-1,462380,540199,938930,-1,976351,-1,348497,-1,-1,-1,453743,-1,456324,256462,810247,-1,441566,-1,477572,-1,-1,-1,783083,505541,-1,-1,532003,-1,535353,11178,-1,-1,628208,467219,562703,-1,-1,-1,386587,991354,488012,732629,-1,104855,-1,-1,853305,58570,-1,-1,904207,-1,-1,-1,-1,-1,-1,116312,-1,255952,-1,-1,120782,710385,56635,-1,252655,-1,-1,-1,711,143337,-1,10719,846098,484694,-1,-1,-1,-1,-1,-1,636588,448804,-1,606053,-1,654581,-1,-1,826929,574615,537535,170063,586599,-1,-1,-1,667887,733575,735176,-1,460812,-1,-1,-1,935169,-1,-1,372190,-1,-1,413746,-1,-1,-1,-1,165150,621993,774937,-1,232776,225515,-1,-1,-1,831000,367109,930937,644736,524061,-1,307726,-1,-1,-1,708566,-1,-1,583959,145766,-1,-1,88292,743692,-1,782425,-1,945934,-1,437057,-1,103456,-1,920620,38948,-1,-1,321277,-1,-1,296552,-1,441173,-1,979230,228384,994988,509335,-1,388286,118264,-1,638512,-1,752348,-1,160789,29545,154971,472232,718670,-1,144223,793860,887298,582787,346957,576199,-1,-1,127691,395462,-1,47419,369362,-1,-1,952699,75405,369560,25825,-1,535970,254864,-1,127794,561558,-1,845757,967946,614526,533969,-1,363286,979549,-1,-1,346030,673362,640977,-1,-1,181355,-1,-1,425278,-1,-1,184579,660905,389411,686654,-1,517400,7314,566173,-1,785491,349610,-1,-1,-1,221348,-1,300881,-1,419044,-1,-1,-1,-1,-1,-1,-1,232731,-1,-1,479483,720354,-1,-1,-1,268485,674310,435046,912103,-1,965225,-1,537489,-1,210468,-1,419762,32627,427780,-1,-1,-1,535244,928214,-1,-1,220813,680876,-1,-1,-1,-1,752663,381738,-1,-1,-1,254820,-1,-1,354405,241639,545448,-1,502046,959562,-1,498412,461165,-1,-1,-1,376764,-1,646717,852768,310952,-1,76384,-1,941066,627729,628806,378775,147993,-1,343272,876777,-1,-1,-1,578855,484097,-1,175441,-1,634899,-1,-1,-1,856386,341549,937204,688948,-1,-1,391545,-1,-1,801687,899595,-1,-1,-1,554652,833996,181879,-1,-1,-1,469076,622506,-1,432714,-1,514720,-1,301884,-1,-1,-1,-1,775895,-1,-1,-1,-1,973143,-1,75042,318356,-1,-1,370200,-1,-1,829451,-1,-1,356762,504727,-1,585706,-1,523664,-1,-1,967882,-1,515728,260842,-1,137042,-1,-1,-1,688704,776455,-1,379877,-1,-1,-1,512769,824610,16809,-1,882306,734987,-1,699286,-1,976074,488313,114117,875612,-1,673551,-1,443908,773187,-1,844193,-1,-1,-1,-1,-1,533616,-1,-1,-1,351811,-1,680668,322337,-1,-1,545314,-1,-1,-1,893143,-1,481209,-1,-1,357351,116262,-1,-1,-1,-1,-1,-1,301025,-1,-1,-1,95570,57482,336372,-1,-1,-1,-1,-1,257641,-1,-1,257130,97249,-1,525847,891025,731875,333570,-1,-1,274346,459835,961984,-1,173213,636380,-1,881281,295672,-1,328217,884120,-1,295696,-1,54362,441054,-1,-1,-1,921458,-1,-1,240695,-1,497586,-1,-1,515510,-1,-1,-1,465163,-1,-1,97504,663213,-1,152042,-1,-1,-1,-1,658035,-1,992634,410769,-1,-1,-1,351118,-1,702559,-1,655606,908663,603860,-1,-1,316316,379382,264115,159589,-1,-1,-1,-1,942325,-1,-1,486797,-1,-1,968763,-1,389628,473983,-1,-1,-1,853830,-1,-1,-1,111471,156680,662472,953810,-1,274937,-1,-1,638714,-1,-1,-1,-1,-1,915818,425803,-1,34264,-1,521234,172115,155185,30529,-1,-1,-1,546333,-1,344810,-1,289934,354932,375153,-1,-1,183633,-1,-1,288209,266501,-1,-1,-1,639484,387890,904166,292929,-1,316029,-1,-1,340531,-1,810215,373671,956994,-1,-1,851170,496543,454635,405066,-1,105240,-1,-1,-1,374034,495778,317036,-1,235786,-1,-1,-1,974308,811990,-1,79956,906839,-1,977207,-1,-1,514081,-1,502528,-1,305395,897031,-1,820578,591821,431654,477978,-1,-1,-1,288159,-1,-1,-1,-1,-1,787305,982472,-1,701416,692543,-1,-1,-1,-1,-1,-1,-1,-1,-1,652918,-1,241866,873824,-1,-1,612483,-1,481855,359667,-1,-1,-1,578351,-1,36790,-1,807319,-1,323382,-1,789861,952185,254330,140033,-1,116038,-1,227142,72647,788565,807709,-1,-1,903584,275951,304404,983032,815025,214540,863277,-1,713058,-1,-1,277299,388887,-1,-1,901462,274818,562289,922786,-1,-1,-1,-1,-1,-1,438798,-1,551249,-1,423061,-1,899283,-1,345399,-1,-1,182171,807419,195856,-1,303572,-1,873690,17530,463925,19052,-1,-1,-1,529217,710370,-1,-1,-1,916272,642550,905942,-1,386312,635959,690200,-1,-1,-1,332166,-1,-1,-1,555236,-1,206317,326136,-1,-1,569021,22562,-1,698139,553539,-1,-1,-1,336718,414516,-1,562394,-1,539804,-1,778521,731841,304277,610061,-1,896083,-1,-1,-1,-1,291715,475986,-1,516709,-1,-1,-1,-1,216559,529221,660785,-1,-1,-1,25559,-1,-1,-1,122696,881422,488141,-1,-1,360169,-1,-1,-1,970685,-1,684378,496148,300977,-1,548807,394122,-1,-1,90277,-1,-1,-1,37336,-1,-1,413874,-1,-1,-1,-1,305387,-1,-1,-1,-1,953284,-1,-1,422231,-1,-1,-1,-1,567255,-1,-1,189352,-1,-1,-1,860392,751806,-1,-1,563027,-1,-1,882158,111835,-1,290321,948716,772650,332381,426447,187042,502102,-1,841605,264533,808920,848064,810063,-1,-1,-1,975187,234024,303925,-1,848230,881129,429302,628850,591122,895138,-1,-1,2480,-1,405355,750161,751722,-1,-1,-1,246941,-1,-1,-1,-1,-1,-1,86696,-1,426940,53016,-1,815296,91992,-1,40703,-1,193870,-1,-1,105891,69025,-1,564961,238972,143548,608723,-1,-1,-1,455747,203748,-1,-1,-1,-1,928478,587378,925092,609780,289514,-1,-1,-1,965099,832240,-1,239848,969991,47697,813054,-1,-1,323813,770947,-1,981059,267222,263622,67349,517675,-1,-1,-1,998059,-1,-1,516853,-1,-1,940084,929444,602667,469466,-1,-1,-1,-1,433013,-1,500906,-1,199099,955539,222844,-1,413276,547162,354470,619929,-1,-1,735800,-1,853074,863823,534986,-1,-1,791210,-1,49175,636814,-1,-1,-1,-1,-1,478466,-1,-1,-1,446336,397781,-1,-1,-1,-1,893371,501682,390788,823804,152866,562903,433924,805567,149886,846526,-1,556352,228867,-1,52203,-1,-1,761709,204398,718733,-1,-1,-1,441242,-1,-1,209405,-1,475677,32281,383083,-1,-1,-1,877810,-1,774634,47641,-1,684688,106558,360650,668007,-1,-1,109100,-1,-1,-1,-1,-1,-1,330913,-1,-1,749540,-1,364868,316609,969002,381283,-1,520309,-1,-1,-1,793362,-1,-1,328082,616714,971339,-1,-1,-1,-1,-1,413726,806034,-1,-1,-1,776757,-1,-1,670893,-1,264853,443326,-1,577578,468871,-1,-1,709768,-1,-1,-1,-1,954098,-1,-1,-1,43134,420741,965688,26403,388021,357942,-1,848377,963043,-1,981055,713201,-1,295546,-1,-1,871154,834578,883255,-1,186896,-1,-1,412883,-1,904063,5516,370935,-1,-1,653060,-1,92463,530895,-1,963480,-1,-1,-1,-1,-1,16789,332905,-1,574359,932025,262958,987642,944118,-1,463993,977851,-1,-1,753907,895975,651258,349841,394373,143182,218319,-1,323503,-1,329713,-1,-1,223147,719541,377829,591032,-1,467770,-1,226662,140704,-1,384629,248587,391933,187326,-1,235335,-1,-1,334776,616575,131389,-1,-1,-1,483664,660249,439671,-1,489759,436815,344872,408218,-1,-1,181611,-1,-1,-1,-1,-1,865865,367481,889567,-1,673146,-1,205287,900102,78214,940539,-1,418038,966474,-1,592484,371566,-1,896189,-1,697130,-1,443021,-1,559701,-1,-1,908695,-1,968138,277423,-1,759948,677371,620301,625164,134036,992126,-1,-1,742024,-1,125472,-1,-1,-1,-1,760801,215268,-1,-1,673257,-1,6053,-1,-1,381762,-1,-1,-1,-1,-1,254419,-1,-1,-1,275549,434210,248789,-1,-1,-1,123360,955080,788034,932324,260323,986421,499836,820677,-1,-1,643983,711258,158941,-1,759438,-1,-1,-1,839437,-1,966105,741944,916505,-1,711759,-1,436273,241179,203438,551905,463956,-1,766576,819978,806745,665145,-1,-1,-1,719741,-1,210634,108507,302030,426507,-1,-1,-1,-1,-1,2115,-1,-1,916955,-1,377786,-1,957575,472673,46943,39192,432134,-1,-1,805886,-1,138423,-1,-1,751549,-1,-1,987349,-1,-1,522183,507040,-1,-1,126035,-1,979493,242557,154902,-1,243269,395120,-1,-1,-1,-1,-1,-1,-1,973715,67183,-1,-1,-1,-1,469549,847217,-1,683552,-1,227686,-1,-1,-1,-1,-1,98399,239392,499204,-1,684253,-1,743226,13727,-1,164832,-1,406545,404063,340916,670440,-1,63020,-1,286565,-1,45331,-1,-1,-1,-1,-1,-1,-1,933981,312663,-1,259733,-1,-1,820441,-1,27282,774060,491816,-1,695384,183424,292871,826977,392276,417096,-1,159796,560865,-1,-1,-1,6445,399589,194104,-1,-1,-1,-1,-1,-1,-1,994885,-1,-1,-1,-1,-1,975956,-1,3396,930921,-1,-1,-1,656280,-1,236080,-1,-1,789201,61205,-1,305424,627343,-1,-1,683050,317171,-1,511404,590830,-1,-1,-1,996160,-1,676033,-1,580111,-1,660100,-1,-1,-1,23957,9886,-1,-1,892080,-1,-1,165266,533143,-1,811246,-1,166884,167723,-1,-1,-1,319924,852404,64064,841360,483072,767492,-1,970732,204681,311746,457970,392122,959681,242263,790833,400867,-1,561829,-1,-1,962301,160289,494746,-1,-1,576384,-1,772035,62209,320947,321201,683062,-1,108560,605420,857517,-1,648959,-1,-1,-1,127160,649120,588203,-1,-1,841620,-1,566503,-1,-1,502689,374963,707751,696482,-1,-1,-1,-1,-1,-1,-1,131810,-1,364009,16384,-1,-1,174243,554406,96691,-1,99262,251948,-1,728858,-1,-1,-1,655768,837562,62582,687957,825744,506291,-1,-1,-1,284512,622804,-1,-1,-1,-1,-1,445696,202164,-1,563353,424448,-1,-1,676826,95541,518808,-1,-1,158669,271595,-1,-1,-1,15038,-1,-1,188968,-1,-1,-1,513454,-1,289897,615898,-1,501729,-1,923857,-1,-1,-1,-1,187400,-1,-1,-1,-1,866130,-1,438699,-1,572615,-1,908991,632817,598507,553093,-1,-1,-1,681568,-1,-1,106063,-1,399759,-1,813452,-1,378768,983765,-1,-1,-1,789255,-1,214999,-1,-1,958141,-1,-1,-1,-1,-1,414475,643492,520678,-1,718955,412917,-1,-1,-1,-1,881990,891298,-1,-1,-1,-1,-1,463436,507022,-1,-1,10219,-1,466427,498812,933563,979169,698528,629906,-1,-1,-1,869236,-1,-1,851747,448575,-1,887776,233765,-1,824094,5689,-1,447473,-1,415374,-1,366053,-1,-1,-1,295008,-1,79391,-1,197417,717663,-1,1393,863633,-1,642402,762848,-1,-1,-1,993651,-1,468406,368540,171079,-1,-1,230053,294842,650150,-1,-1,139409,210544,-1,-1,-1,-1,-1,553526,-1,-1,-1,734164,912712,174919,466256,-1,512541,710166,-1,-1,-1,-1,-1,-1,-1,482551,756789,-1,-1,-1,-1,860134,373914,-1,238839,-1,387293,191282,381442,471339,-1,709001,-1,127601,-1,-1,-1,-1,-1,-1,177811,-1,-1,587904,155880,140887,-1,809354,26259,-1,94854,200910,-1,279527,-1,-1,-1,-1,-1,313908,414617,551910,-1,670539,523634,-1,-1,121582,84371,-1,900135,-1,-1,694600,499815,-1,-1,941500,732,-1,-1,740266,-1,-1,-1,-1,-1,-1,492455,23574,900298,654705,-1,343997,-1,466159,-1,659489,-1,-1,5623,848718,656495,-1,914884,920707,847558,-1,988423,43242,32821,-1,945767,522672,-1,-1,994982,-1,321607,-1,528743,293928,71697,242814,-1,-1,-1,-1,-1,-1,650381,-1,-1,547362,162697,-1,-1,792443,723093,-1,439494,119397,-1,-1,842160,717951,-1,-1,-1,500582,-1,944002,136614,-1,506500,369148,92214,-1,-1,224251,832214,-1,-1,-1,924656,-1,-1,-1,531682,-1,-1,196278,467620,520805,-1,-1,-1,73792,-1,-1,173460,-1,499825,365505,-1,158364,473325,-1,924251,-1,847198,754893,601484,-1,-1,718518,371550,-1,950172,622905,-1,140772,801388,-1,104216,650606,-1,154908,695672,722855,-1,572896,660366,707948,635390,-1,411049,689642,136179,11151,600313,764528,129033,395523,247063,-1,-1,448132,22631,-1,351324,818562,463103,392145,-1,-1,208181,-1,670925,850536,-1,899389,70857,-1,411572,61387,-1,-1,-1,198705,-1,-1,299872,103378,-1,-1,851036,-1,114036,-1,-1,884387,972689,988455,-1,292197,-1,-1,49033,444954,573466,5058,-1,547139,-1,694928,324184,708683,-1,880783,-1,-1,577283,521433,826879,-1,-1,418904,-1,-1,246344,129137,328270,971660,171498,-1,-1,-1,-1,-1,799007,246112,-1,-1,273062,612981,647762,324058,-1,-1,353335,894976,-1,-1,-1,944794,521700,-1,-1,33179,500408,-1,-1,-1,-1,-1,-1,-1,-1,3603,-1,557320,-1,915507,-1,-1,755373,-1,-1,327520,612742,-1,-1,447288,-1,866137,-1,159766,-1,763147,-1,328820,-1,-1,-1,681389,-1,211559,-1,-1,92819,279015,-1,-1,-1,417961,996571,303455,416874,392289,192318,566748,-1,-1,-1,-1,-1,848265,-1,981347,943650,916694,766430,-1,-1,-1,-1,359344,360233,-1,-1,-1,633981,-1,605794,-1,-1,-1,60579,803484,695928,904178,942581,86812,-1,-1,81931,164077,-1,-1,570512,-1,219401,-1,33334,-1,986486,134517,-1,430170,966814,-1,-1,687215,631040,-1,-1,-1,714374,496921,-1,-1,673656,-1,649244,-1,-1,-1,-1,72702,-1,-1,-1,560726,807564,506138,582337,-1,-1,-1,-1,-1,649209,414720,-1,-1,-1,-1,675009,808040,680751,58597,-1,-1,-1,-1,474491,671829,-1,185359,359785,486182,476732,-1,-1,-1,989737,-1,-1,793667,502900,-1,305546,-1,393783,374047,-1,-1,-1,-1,-1,-1,138065,-1,-1,-1,382811,471970,43782,814828,807885,-1,-1,557542,436846,-1,197654,-1,953496,61698,-1,957104,561137,-1,-1,-1,680571,-1,-1,-1,979651,156879,-1,-1,798725,-1,-1,434100,-1,146184,-1,-1,-1,768197,-1,-1,567712,-1,813801,773304,-1,-1,-1,339808,483459,-1,-1,394686,885356,-1,-1,755485,-1,891749,988614,95155,-1,-1,715131,329690,-1,-1,543338,849483,-1,-1,-1,277204,874437,-1,-1,-1,-1,-1,423207,332011,642356,-1,759502,495858,-1,-1,890078,63360,827412,-1,-1,-1,591187,446174,632480,-1,-1,-1,-1,-1,-1,-1,360280,252864,-1,77943,278751,514428,-1,-1,945846,385794,645147,-1,-1,-1,476873,-1,-1,-1,-1,-1,-1,148630,-1,-1,-1,723202,-1,-1,730136,-1,-1,137826,-1,-1,-1,-1,-1,623818,-1,-1,-1,246203,569432,-1,11273,-1,-1,-1,183981,788750,961668,47582,-1,997849,-1,-1,699688,959525,-1,623278,134924,-1,168227,-1,391645,-1,914404,-1,487702,792955,15889,40647,-1,586689,-1,994134,-1,-1,-1,-1,-1,477182,375782,-1,-1,1266,81151,-1,238263,-1,383170,722672,633448,19070,-1,212267,-1,-1,-1,666234,896876,-1,738151,-1,-1,-1,-1,927407,-1,986748,450751,-1,-1,-1,-1,3928,-1,741618,-1,-1,-1,-1,182581,-1,557414,512621,-1,365700,-1,-1,198117,6662,169636,-1,-1,-1,315120,-1,893760,638032,471197,904933,-1,-1,29005,529845,-1,47445,209089,-1,-1,522312,-1,387259,-1,-1,-1,-1,727449,-1,704694,485861,-1,-1,510502,547670,-1,-1,326533,-1,872152,345647,981908,-1,-1,-1,-1,-1,-1,-1,-1,438529,951863,-1,-1,-1,-1,-1,-1,115411,272292,970337,-1,-1,-1,142035,953235,-1,193508,-1,-1,-1,408768,-1,-1,343925,718907,-1,-1,-1,-1,989558,542178,50599,221314,-1,-1,957169,-1,-1,908084,66188,-1,-1,919209,-1,576633,182962,420916,751498,490131,281090,609428,-1,-1,335221,638352,196871,200283,822172,750524,-1,-1,-1,215054,-1,204049,-1,-1,662824,897701,233391,306374,624937,305330,-1,-1,440674,713649,882132,-1,-1,-1,933811,526005,-1,-1,-1,-1,-1,-1,386740,122962,166683,-1,887475,707546,649485,-1,-1,109572,-1,-1,477610,-1,108907,51161,-1,587117,-1,268833,-1,816087,-1,866250,927060,453302,429674,-1,-1,368147,-1,-1,760023,592456,491649,330138,902874,201996,-1,-1,457889,-1,-1,247872,985237,-1,64105,-1,-1,-1,427264,-1,179741,640177,505156,-1,-1,597617,809379,307254,-1,-1,449970,-1,639910,-1,-1,-1,-1,7944,-1,-1,136091,-1,-1,279144,464761,-1,554143,951279,392185,15092,479087,-1,517959,740773,-1,56449,280668,-1,107183,-1,-1,-1,-1,-1,913104,-1,176580,-1,-1,-1,-1,-1,-1,-1,340616,460983,115409,335364,590300,909734,882199,491602,24545,72109,-1,-1,691412,274166,799339,398019,425211,583562,438332,-1,808902,-1,556753,-1,400663,-1,-1,231905,-1,142302,609768,-1,-1,-1,-1,898018,-1,987651,-1,6463,281114,126708,-1,-1,639256,431964,296121,177977,928447,-1,-1,-1,968814,956664,327069,-1,348308,-1,949379,81462,965962,-1,-1,-1,759554,-1,-1,302219,486580,145222,-1,355441,606352,336751,669669,320844,619961,911075,-1,-1,262410,-1,-1,194833,-1,-1,696072,636095,-1,-1,419411,179374,-1,865848,-1,625296,-1,-1,249726,-1,25917,236867,287603,-1,-1,615205,-1,70833,708105,257598,401978,283565,-1,231938,251132,-1,944370,867014,-1,-1,-1,-1,582635,-1,822022,503614,-1,71234,-1,414680,103136,749,-1,973432,228908,-1,-1,-1,-1,-1,820856,-1,816262,-1,-1,-1,-1,306638,931694,249497,-1,862649,595015,-1,570127,-1,-1,333739,969455,326210,117799,815388,-1,-1,-1,562388,318484,512997,-1,771586,960956,-1,386303,-1,101034,-1,401990,-1,-1,-1,541280,-1,561979,-1,-1,-1,469027,91682,-1,-1,675207,-1,-1,-1,-1,604969,-1,-1,772115,-1,-1,-1,-1,680088,-1,-1,739075,-1,176280,634120,-1,-1,-1,835602,931077,-1,-1,-1,85674,247615,106857,-1,-1,-1,299424,-1,544177,-1,-1,-1,530752,390261,88380,-1,556624,-1,816067,836115,-1,820008,304496,-1,-1,665322,117495,167652,872107,-1,860487,799832,665845,-1,-1,-1,694865,-1,353958,-1,-1,345934,-1,-1,-1,961192,-1,200797,466783,434273,191610,-1,660082,-1,596256,251386,669073,570624,843917,-1,-1,853799,-1,135175,-1,-1,-1,215403,663339,-1,465512,-1,121911,71242,585038,733399,72015,-1,-1,-1,-1,68658,329628,28041,730583,-1,934561,318590,-1,-1,-1,-1,255727,423237,-1,-1,-1,-1,-1,823258,191340,-1,146306,-1,291066,425511,227753,-1,-1,-1,-1,-1,-1,463999,-1,310834,855375,398512,329499,-1,416960,-1,310171,512516,-1,919940,875078,234016,859131,344314,854185,935933,952585,516284,-1,707305,320474,815082,-1,874391,-1,778745,848574,-1,296058,358433,-1,830122,879416,322695,-1,979462,-1,-1,249195,-1,19146,-1,-1,-1,-1,-1,930029,160555,792814,-1,442002,171821,203459,-1,-1,-1,-1,-1,-1,-1,-1,948882,707473,502301,235482,773460,576667,-1,580875,-1,-1,822619,-1,-1,802934,570066,-1,-1,154423,-1,-1,-1,71497,546174,170531,-1,-1,-1,27235,220028,-1,794523,-1,993624,318406,763686,-1,818231,840226,-1,-1,363738,-1,293471,-1,356265,985594,-1,996909,-1,-1,-1,529240,139376,-1,-1,208264,220512,-1,-1,461950,-1,-1,714681,-1,695715,233978,192622,43961,29722,44747,641533,401853,207642,972392,7172,831327,-1,481306,-1,189735,-1,-1,418507,646130,797501,648335,207224,-1,-1,228100,-1,799072,-1,279457,793803,456816,-1,-1,-1,609991,561930,891294,275733,444846,-1,764679,-1,70238,294879,-1,-1,-1,-1,825189,-1,274082,300757,-1,-1,910429,-1,-1,113726,933,795179,954930,744871,587288,-1,179401,-1,904113,518759,972926,-1,-1,751408,-1,-1,-1,-1,-1,942123,-1,387990,155287,690453,993048,842168,807919,483523,-1,-1,-1,-1,-1,977222,300694,856068,137370,-1,-1,308629,-1,-1,-1,178227,-1,767877,830627,-1,921543,-1,-1,791731,765702,-1,-1,-1,847490,-1,926947,852482,70560,930155,806411,-1,-1,557899,28440,825898,-1,110802,294476,-1,-1,959465,-1,324178,493234,202913,-1,-1,-1,645723,911385,-1,-1,646712,861186,237226,84227,413832,-1,-1,-1,866833,221425,165762,754925,952713,956616,-1,684211,367749,-1,-1,257470,-1,270731,-1,-1,-1,-1,21934,257788,11530,870414,674202,-1,-1,-1,277183,-1,-1,-1,437978,913188,-1,935638,456129,-1,754291,443325,513661,423037,-1,371402,-1,-1,43903,515326,-1,135053,-1,37313,-1,-1,912424,-1,-1,405530,100243,-1,-1,-1,628772,-1,-1,732463,688401,-1,-1,-1,267858,449241,-1,-1,462075,425654,-1,-1,338889,966393,412889,-1,-1,336270,393053,-1,-1,607059,-1,-1,-1,-1,641992,146493,-1,-1,-1,-1,711638,-1,469426,697232,-1,-1,-1,328826,-1,306757,-1,159275,249465,-1,-1,-1,17550,319644,576588,442247,306789,314469,-1,-1,-1,-1,961459,931244,-1,693200,418187,-1,315024,551479,-1,-1,-1,-1,635651,618046,-1,134418,152758,682748,-1,-1,287989,-1,-1,352556,86247,740060,223974,-1,-1,-1,394945,-1,359677,500080,-1,586093,-1,15602,109769,-1,-1,-1,-1,754672,653905,-1,-1,979574,995325,365317,665869,739444,326684,340481,-1,44538,-1,-1,-1,774108,-1,-1,-1,746865,-1,942899,386821,-1,588860,753602,100070,-1,-1,-1,-1,929955,-1,16022,-1,653884,198212,-1,188611,-1,-1,701782,-1,49742,-1,198733,-1,695980,-1,-1,189534,148246,880032,640607,459189,-1,-1,970526,-1,397397,283475,-1,802683,-1,-1,560336,448302,-1,-1,-1,-1,271817,321792,347818,-1,459165,-1,113452,-1,-1,20553,687461,627648,888912,877188,691219,221319,-1,806016,-1,-1,-1,609557,821771,624854,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,965361,832177,813477,-1,5508,835079,569150,-1,-1,575405,368252,724284,-1,112699,-1,169381,571740,-1,893550,186184,720736,61053,-1,896080,474495,-1,-1,483134,-1,-1,-1,915887,-1,-1,-1,250198,-1,-1,204251,605464,721540,203405,-1,-1,438848,-1,-1,-1,405098,540604,982164,-1,-1,479633,406207,663056,31595,94145,136227,-1,-1,948432,-1,-1,-1,-1,-1,-1,573725,798027,-1,-1,390998,355966,644542,-1,332290,-1,-1,485664,119015,-1,970963,-1,621406,-1,932379,-1,-1,455175,-1,494943,-1,648697,-1,591916,328018,-1,905533,349360,-1,-1,525365,526080,855212,-1,-1,379888,821125,698337,-1,797064,680272,456886,-1,67046,819911,-1,988980,216785,-1,994513,835704,-1,380646,719944,-1,-1,131091,-1,403228,625712,-1,-1,-1,919284,-1,64829,50402,775049,422072,-1,-1,-1,317110,451227,-1,520960,265981,314456,-1,-1,871416,-1,-1,-1,749666,-1,408377,-1,-1,-1,957435,-1,-1,309795,847388,198140,303227,-1,212064,-1,140714,247762,47224,-1,891698,-1,640001,-1,-1,-1,153955,-1,264069,646588,-1,-1,-1,-1,923855,-1,622320,984072,-1,-1,-1,-1,796411,-1,-1,918432,729550,-1,-1,-1,974273,448731,-1,137258,569623,124773,-1,676235,-1,341212,-1,675116,-1,537994,-1,614281,53052,547726,836292,217685,54759,-1,380085,-1,-1,-1,-1,-1,444970,498747,107683,432238,890086,172373,-1,-1,-1,-1,636208,-1,435999,-1,551176,-1,-1,-1,-1,-1,710534,284719,880104,-1,562302,-1,444096,-1,968440,-1,704771,-1,-1,4542,-1,-1,52972,872888,-1,569161,-1,-1,-1,-1,-1,328484,-1,178262,-1,-1,-1,164734,-1,-1,-1,318944,-1,-1,-1,-1,304529,-1,286316,-1,-1,-1,-1,580676,-1,435483,-1,-1,612,-1,-1,-1,-1,-1,991866,-1,943224,597481,266226,387239,-1,286425,732341,-1,-1,891630,554856,805234,596846,-1,-1,-1,-1,-1,517254,279782,-1,-1,-1,-1,-1,-1,152128,-1,428983,-1,-1,2658,197241,-1,-1,-1,633396,475923,-1,804230,-1,280185,726248,360344,247770,-1,58417,-1,-1,357989,-1,724777,-1,-1,234030,-1,56223,-1,841789,-1,-1,-1,162605,-1,-1,250817,-1,-1,882822,446200,-1,852060,-1,-1,-1,905901,-1,-1,2984,-1,660373,-1,-1,-1,-1,-1,183872,835764,-1,-1,-1,-1,732852,561625,-1,791500,-1,718278,-1,780654,-1,475099,908843,-1,-1,-1,763640,173774,-1,863266,-1,-1,-1,773391,353769,-1,443304,-1,-1,505290,-1,336373,-1,10124,-1,723032,-1,147974,-1,32576,-1,660186,122763,745307,938035,417573,28778,564243,398920,-1,-1,-1,465905,214273,906062,302087,108473,828651,-1,952328,-1,-1,-1,-1,33184,-1,573945,426901,334082,-1,961990,441138,576303,-1,-1,-1,-1,773141,38133,-1,488942,288904,-1,-1,716599,438062,-1,148097,212675,-1,-1,392001,-1,422900,685606,734673,-1,859386,-1,-1,777600,8890,509660,60904,146467,429021,-1,-1,574532,141441,-1,167182,-1,-1,761178,-1,-1,-1,880746,-1,813109,-1,-1,-1,-1,-1,863783,-1,-1,424732,319061,869461,-1,250245,167458,-1,-1,846342,-1,-1,-1,758001,131039,-1,99080,83814,-1,-1,-1,834707,-1,-1,-1,548824,-1,-1,-1,-1,642064,-1,571463,413653,538186,477712,151187,80041,-1,381530,-1,927361,-1,-1,915468,697621,227829,-1,850794,602442,592543,202778,-1,939682,-1,310583,576412,858597,705173,-1,-1,-1,36971,825936,-1,-1,-1,-1,-1,-1,-1,660798,272733,-1,-1,-1,-1,251047,-1,49721,-1,73330,18802,-1,534433,887170,949210,604015,-1,-1,-1,-1,212566,-1,404534,329991,568714,-1,-1,-1,866215,244282,-1,-1,-1,-1,-1,682684,-1,427118,-1,-1,734873,-1,-1,173169,-1,57907,511006,-1,-1,-1,302399,243852,127481,504189,-1,973734,549381,503453,-1,-1,881926,-1,-1,674747,810684,962445,-1,-1,-1,-1,-1,-1,-1,-1,-1,846153,-1,619835,-1,318491,558848,116780,-1,761639,957885,235368,694032,-1,-1,-1,362994,-1,-1,-1,267217,3590,-1,-1,701125,461379,-1,-1,928514,977315,974996,-1,-1,-1,300215,-1,869684,212829,242440,-1,398168,837655,-1,96014,-1,723615,440673,-1,-1,-1,-1,-1,955866,-1,-1,-1,-1,754266,-1,453029,405493,-1,514661,-1,-1,-1,533551,-1,-1,190865,289552,548994,694353,-1,-1,-1,462529,-1,-1,-1,-1,-1,-1,-1,94680,-1,315228,961209,43219,-1,-1,84557,-1,265155,-1,715970,-1,-1,953584,-1,-1,-1,537124,814647,812723,-1,-1,-1,-1,285441,-1,517461,-1,87852,855952,442933,618063,-1,604815,724565,633553,441354,627409,-1,-1,391857,30568,77264,806357,-1,578988,-1,103830,-1,-1,308147,358752,-1,-1,849033,-1,-1,-1,-1,-1,-1,618642,-1,-1,-1,988679,-1,743066,-1,-1,-1,-1,245086,-1,-1,-1,845217,-1,704244,628290,-1,993483,-1,-1,436769,-1,-1,14968,-1,-1,-1,-1,-1,-1,-1,154116,-1,-1,-1,480219,-1,239010,-1,-1,-1,162483,72645,-1,384691,506926,290539,-1,388847,-1,-1,801832,-1,538677,237322,930537,-1,-1,587389,427686,-1,336551,-1,-1,-1,73681,-1,-1,-1,-1,656283,-1,-1,-1,786560,912561,-1,194340,-1,833150,212883,-1,300992,136617,-1,489080,88300,-1,-1,-1,-1,513700,63489,655887,-1,-1,-1,910702,-1,203142,770098,736910,886161,60978,922006,-1,-1,-1,693155,-1,179389,-1,742963,-1,113338,-1,-1,502884,-1,76729,-1,-1,-1,-1,-1,931442,-1,606924,822951,-1,621151,330001,451879,-1,-1,497608,697872,-1,746232,-1,-1,757262,-1,592974,-1,573585,187305,-1,-1,962521,938976,187209,-1,771852,391177,191152,-1,778136,552203,-1,-1,-1,216705,-1,-1,371186,132579,301791,850892,-1,-1,914873,220299,-1,-1,616958,-1,-1,972269,-1,-1,-1,-1,-1,439717,-1,-1,-1,-1,-1,467785,-1,459550,-1,537308,-1,-1,474719,-1,-1,-1,-1,103277,298800,830815,891902,347779,703396,789936,-1,-1,-1,-1,741823,181904,199476,-1,-1,-1,248569,393516,-1,409670,740638,-1,-1,126795,-1,-1,89920,-1,-1,650564,158957,-1,-1,-1,-1,-1,597315,-1,355990,-1,-1,767147,496494,539131,797431,-1,142414,153471,-1,623280,-1,-1,-1,466633,-1,-1,302656,-1,228337,-1,-1,-1,492473,-1,761900,-1,192356,777440,888428,-1,-1,-1,-1,392700,454844,151213,951082,-1,-1,308290,290530,601358,245698,-1,211775,345294,-1,-1,-1,-1,334843,-1,608138,308116,48043,137322,-1,544342,-1,211784,550019,360372,-1,-1,228660,124697,539601,371583,510252,-1,892456,399167,-1,540941,-1,2745,730618,946047,-1,503089,839625,-1,691037,-1,-1,855071,-1,-1,20245,-1,-1,-1,932023,-1,-1,622562,81703,-1,970964,906937,-1,530768,-1,-1,345170,529544,-1,-1,-1,-1,46919,-1,-1,361628,-1,289182,-1,-1,506042,-1,-1,-1,-1,-1,-1,-1,448216,936163,-1,701961,-1,-1,520810,-1,74209,340756,302520,460727,-1,-1,-1,370289,931299,915155,586098,-1,-1,998303,366264,380955,-1,-1,-1,-1,418300,411964,-1,202951,690720,-1,-1,514115,86069,530717,-1,-1,-1,-1,-1,-1,135388,276733,481560,-1,-1,831932,-1,-1,893640,162615,-1,-1,-1,-1,-1,435071,101366,75660,616904,782339,629947,-1,-1,-1,762027,-1,-1,-1,-1,-1,-1,-1,-1,-1,706292,-1,835476,-1,-1,624133,477679,911728,-1,6711,-1,-1,307147,-1,145782,-1,550937,-1,-1,-1,630866,-1,327059,658462,-1,-1,-1,-1,632331,-1,-1,599325,20776,766210,-1,-1,-1,102817,-1,968330,999818,-1,265346,61902,495948,762656,361505,180143,320023,989306,523279,925317,-1,93120,125826,-1,-1,-1,171710,546070,-1,398846,-1,137690,881720,43801,961075,-1,-1,-1,150891,-1,847064,143208,503374,-1,-1,479165,-1,139032,802603,444551,643280,204273,-1,462043,446438,944366,57821,457341,-1,372944,789903,294941,651093,-1,110615,747156,-1,680497,893219,-1,-1,-1,-1,-1,-1,89324,-1,-1,449088,30330,-1,-1,368016,-1,-1,-1,8887,-1,32265,748561,182670,968930,-1,907658,-1,703223,91978,15627,-1,-1,460573,-1,-1,-1,-1,879120,-1,780782,645620,818533,-1,189457,591167,-1,92701,-1,-1,-1,730885,-1,-1,-1,-1,951765,507439,60874,100602,-1,-1,-1,-1,-1,-1,-1,-1,-1,386540,727194,-1,-1,-1,-1,-1,950187,-1,742499,-1,137306,463395,927891,-1,346259,575967,-1,-1,894999,-1,132090,236753,480555,-1,989576,507248,-1,-1,-1,333734,631706,-1,-1,289411,638720,488901,371506,-1,859815,-1,543784,-1,779860,-1,-1,572373,564938,-1,955288,215546,896244,-1,-1,71661,391955,-1,-1,773960,300608,572438,799378,-1,-1,-1,-1,-1,-1,296522,-1,908145,-1,-1,-1,-1,-1,-1,-1,-1,435710,588633,-1,-1,792216,-1,250204,268805,-1,-1,849859,92033,-1,-1,-1,-1,15096,-1,740221,203045,-1,-1,-1,-1,-1,-1,-1,-1,908809,-1,724985,106952,627655,-1,-1,283490,-1,873030,-1,-1,-1,615859,966321,607981,6197,-1,-1,675173,-1,-1,-1,203862,22011,-1,550889,-1,-1,-1,-1,-1,878988,-1,-1,-1,-1,590053,922236,-1,-1,-1,-1,-1,753198,-1,297163,-1,542819,-1,-1,-1,694037,586161,290259,-1,-1,-1,-1,859803,987674,979575,-1,265651,-1,881325,-1,834138,847010,818337,1904,516925,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,771558,877677,-1,784708,848563,870438,-1,379172,-1,-1,-1,886776,-1,-1,-1,-1,-1,-1,-1,-1,666760,-1,-1,-1,406379,650899,934990,-1,-1,396214,-1,463898,422032,-1,108106,873857,-1,986350,-1,844677,-1,-1,555372,-1,-1,879532,192733,-1,-1,-1,-1,-1,-1,183251,86361,-1,24101,768946,-1,-1,-1,-1,14154,14909,203042,-1,825547,362513,464027,212692,-1,-1,-1,-1,-1,262326,918222,-1,-1,544377,-1,593321,-1,-1,801552,436838,-1,-1,853737,-1,916647,-1,-1,384378,-1,-1,717592,568766,-1,714398,625357,411839,-1,101677,-1,-1,-1,760920,790130,-1,783108,255129,-1,892247,-1,-1,547567,-1,775411,6883,-1,-1,-1,658234,469213,-1,537325,375594,362470,-1,630810,886125,-1,-1,540877,-1,654502,-1,-1,141298,483356,71301,-1,-1,229595,200490,-1,423733,244733,139422,-1,425842,-1,-1,695787,549182,85779,-1,632677,-1,263402,52160,724545,-1,387723,34311,-1,-1,-1,35523,974111,637208,408273,369671,-1,-1,291460,927208,567757,717858,626119,334517,125493,-1,160386,765136,-1,914149,552726,-1,421939,290579,-1,610567,-1,993164,-1,582207,362636,623528,120609,132839,-1,-1,-1,-1,-1,330556,-1,289543,510619,-1,989642,194950,742343,-1,160233,-1,-1,442362,-1,338586,-1,873100,928535,188419,-1,-1,491835,-1,79731,197544,-1,-1,341842,871024,733533,-1,-1,622836,-1,-1,270475,628240,-1,91535,-1,683989,470832,806645,703700,530287,-1,-1,208296,111469,-1,-1,-1,924292,-1,631926,822589,702264,-1,-1,387091,-1,-1,-1,-1,880766,69647,294146,431158,106613,732831,689424,367668,623886,-1,-1,203295,-1,838234,242048,-1,-1,-1,-1,-1,950170,830198,512566,-1,-1,594298,355782,314544,-1,889175,753832,-1,594379,-1,372943,276785,777561,615424,-1,37428,477561,-1,-1,-1,702418,-1,-1,555379,816425,132788,789107,-1,88529,-1,777276,217283,-1,275034,465217,547428,-1,-1,327981,-1,673473,112137,-1,-1,589536,510170,-1,-1,-1,-1,-1,-1,265759,252064,-1,462439,-1,-1,-1,-1,257327,16208,687210,-1,98885,145943,950478,495877,214799,-1,-1,245130,-1,-1,-1,612844,-1,370952,-1,139022,-1,-1,320592,433583,-1,49325,70408,-1,-1,934813,-1,-1,689432,48556,-1,-1,-1,-1,-1,-1,69093,-1,964617,849322,-1,585089,-1,175709,-1,-1,440885,852510,786871,666928,949202,-1,-1,7009,631129,501727,261678,-1,-1,172847,180643,734443,-1,389963,81130,-1,797712,838179,829118,-1,113564,-1,-1,657285,-1,-1,910908,725627,-1,-1,917823,367022,936651,-1,319777,-1,723181,649026,-1,941127,-1,-1,-1,-1,-1,-1,738852,242947,-1,611179,-1,341529,-1,347352,-1,-1,371383,-1,885482,776112,535359,-1,-1,-1,-1,770846,51158,515134,-1,195276,-1,-1,-1,-1,508609,-1,612405,973939,-1,-1,-1,14258,249141,-1,-1,701949,91691,966585,-1,-1,-1,-1,-1,-1,674598,-1,-1,-1,-1,790515,-1,-1,-1,-1,7055,-1,-1,179614,-1,-1,982127,145205,994088,895196,-1,-1,173751,199365,253161,-1,372909,368788,-1,5532,-1,-1,-1,170925,-1,164460,800252,-1,-1,578882,894324,-1,10173,429013,-1,-1,-1,278901,-1,42103,-1,497034,-1,-1,226768,728390,-1,-1,598551,536512,644790,776298,-1,-1,354960,-1,-1,-1,312549,259132,-1,-1,-1,262376,-1,-1,-1,670038,690382,155554,-1,-1,20331,-1,468071,66138,-1,-1,876810,-1,316652,866646,322655,741134,237053,-1,454818,-1,-1,765016,143508,-1,-1,679264,916136,423461,-1,-1,-1,827690,-1,527662,624740,114094,555394,806394,135221,106420,973538,857814,-1,-1,-1,607891,845639,425455,-1,932832,-1,-1,228688,139089,721397,273884,922868,-1,272130,469454,142859,755268,-1,-1,56789,185800,534290,740890,-1,767132,26427,436992,-1,98708,-1,-1,685054,273224,-1,-1,-1,-1,173248,-1,550617,715915,900687,-1,-1,617718,298005,849496,502349,709125,62399,329664,-1,-1,112226,-1,729325,-1,757009,-1,-1,282231,-1,-1,-1,491270,-1,211107,-1,518712,154825,938722,-1,-1,-1,978481,342720,-1,-1,-1,271880,-1,425894,262151,685921,527609,-1,-1,-1,-1,-1,265772,967161,-1,-1,43577,841644,696117,-1,-1,861752,-1,266381,-1,287658,-1,-1,-1,-1,-1,-1,390033,-1,500232,-1,167642,496281,-1,-1,-1,214177,-1,-1,-1,245931,-1,-1,-1,-1,-1,-1,349845,-1,-1,-1,-1,336330,964568,-1,-1,-1,524838,688167,-1,-1,-1,-1,677506,117285,355349,722739,-1,499997,293830,-1,678525,24987,-1,334604,180473,-1,-1,639312,-1,-1,655982,626318,544842,176500,-1,-1,-1,505653,-1,-1,354595,-1,621041,-1,-1,276219,-1,669668,840749,-1,920547,-1,29167,-1,931429,-1,-1,-1,289920,-1,-1,467508,590253,479009,185701,641266,390371,-1,921683,-1,-1,-1,984167,-1,-1,-1,801229,-1,-1,652345,-1,-1,-1,589773,801824,-1,864519,-1,-1,267088,-1,-1,-1,-1,-1,265552,-1,-1,-1,90615,-1,-1,-1,-1,243903,452445,-1,113103,62665,944896,-1,-1,880073,-1,846356,64630,-1,568275,-1,-1,509687,-1,-1,-1,-1,836490,-1,633131,-1,-1,-1,146218,-1,573034,-1,-1,-1,-1,954873,192060,716821,222266,-1,775421,-1,-1,-1,776575,226205,416147,778536,32817,919342,656728,794672,175421,754614,623632,-1,-1,756574,75632,548775,208295,514874,297402,-1,-1,-1,93041,528711,999060,792275,-1,-1,-1,-1,-1,738586,-1,452491,727047,399117,995630,-1,-1,468427,-1,185503,-1,774654,-1,-1,109476,-1,-1,-1,-1,61381,655118,794944,-1,-1,-1,-1,684144,543163,-1,-1,201158,375109,-1,148386,-1,-1,523049,-1,704241,203433,-1,-1,-1,146241,-1,781233,-1,555233,38330,242130,665779,643329,-1,628409,-1,668954,-1,-1,-1,-1,-1,111098,-1,-1,503419,-1,-1,-1,144512,-1,525460,-1,994830,-1,414256,457395,-1,328973,-1,-1,-1,-1,-1,339444,872136,866304,-1,675021,80413,-1,-1,-1,-1,732876,270580,207833,434664,235486,-1,967496,-1,-1,163702,384804,-1,-1,874963,32706,-1,81114,431256,-1,-1,-1,-1,-1,-1,-1,182430,202537,672890,518143,693234,748470,-1,-1,676441,-1,-1,120086,-1,-1,-1,-1,-1,570276,-1,477251,-1,-1,58672,55654,-1,525209,-1,-1,224396,610250,277036,-1,-1,-1,-1,-1,151316,513648,156768,-1,604018,241947,293205,-1,-1,-1,-1,405577,591118,522376,763244,409314,-1,56279,48244,-1,207213,-1,-1,-1,-1,610931,267425,138551,-1,-1,874010,-1,-1,433783,343985,-1,987499,159563,-1,414792,-1,276977,577087,-1,156540,980254,-1,20944,-1,-1,762820,-1,-1,139704,-1,-1,393038,575924,-1,-1,-1,-1,-1,355913,888684,110643,794771,110875,-1,-1,-1,248961,84559,834743,937107,817743,805880,-1,-1,-1,169681,-1,247163,-1,62594,-1,548248,-1,991192,-1,676196,506725,736953,-1,-1,-1,-1,-1,153008,-1,-1,-1,-1,35174,470799,840754,-1,-1,864007,534533,155182,436800,742561,242177,-1,496441,957538,-1,-1,-1,107883,791106,-1,-1,-1,813191,-1,-1,180195,-1,-1,-1,575548,-1,245606,-1,124231,211434,-1,318478,437525,923275,-1,889771,787782,356748,293411,-1,557415,669010,-1,-1,475296,-1,-1,-1,94286,-1,657635,730406,583081,-1,-1,582186,-1,-1,-1,-1,-1,153340,-1,435912,601639,188894,-1,668195,-1,211672,14527,-1,819263,-1,-1,751431,785633,763890,153408,34915,169226,-1,183534,273147,-1,188503,181037,407435,924361,786122,-1,774396,-1,32972,357845,-1,-1,-1,-1,545207,-1,261189,771549,228684,-1,198974,-1,888953,612807,583485,519244,385055,-1,738247,-1,666476,510959,865409,-1,-1,395965,-1,670474,-1,-1,318670,452581,-1,-1,278714,917260,682223,959085,-1,419761,486559,-1,836712,-1,671440,-1,-1,45304,761954,-1,559579,-1,183048,-1,-1,-1,438782,-1,-1,6540,259863,-1,-1,-1,-1,-1,756823,789924,324142,-1,-1,423774,703976,-1,596293,492465,-1,-1,493443,362687,-1,833323,-1,-1,115214,-1,84091,-1,-1,885287,494014,317129,-1,-1,-1,319489,240357,643030,-1,-1,807557,-1,680878,-1,328576,-1,-1,-1,791846,188676,441068,391663,-1,539900,-1,-1,155612,-1,778593,515974,-1,-1,812869,-1,84669,-1,-1,-1,830066,-1,-1,716898,-1,168596,874696,917194,461574,-1,-1,-1,123648,-1,-1,417813,266441,722128,709516,-1,-1,-1,-1,544210,-1,80324,-1,-1,135641,-1,495532,586063,559097,-1,436172,222003,-1,266575,-1,347027,836857,292082,160074,720055,-1,864402,95466,371071,270272,397949,-1,422597,-1,240165,825040,-1,27146,61247,133513,193076,115204,917841,-1,-1,-1,-1,-1,-1,-1,-1,-1,11608,-1,-1,152314,-1,729397,258444,361705,802988,-1,-1,495123,-1,-1,262643,-1,-1,-1,-1,137756,373031,819370,-1,813663,300929,527115,137709,331915,722654,-1,470023,99093,783872,-1,886229,42057,372049,136808,682566,-1,-1,-1,347901,-1,863330,-1,554902,-1,-1,636042,-1,406693,-1,-1,-1,-1,-1,-1,-1,410837,-1,-1,330144,-1,631656,-1,-1,129999,-1,923763,-1,150593,-1,-1,408308,-1,-1,13729,-1,362043,-1,-1,-1,517899,327858,125258,-1,-1,405398,-1,-1,915603,817649,-1,-1,700986,-1,-1,736873,-1,-1,-1,-1,-1,632312,155243,725117,-1,35700,173990,699382,529397,-1,932252,-1,-1,332752,565236,671211,243932,-1,-1,689866,857304,-1,147808,422839,442107,820116,-1,-1,75001,68941,-1,-1,-1,35053,-1,997442,-1,-1,21166,459404,994733,531762,-1,483508,-1,-1,-1,686899,-1,242527,640024,461870,112201,-1,-1,-1,-1,642183,213262,213942,778374,221239,976447,-1,62147,844663,-1,-1,-1,-1,-1,81818,603326,-1,263993,-1,-1,451780,716387,1877,462612,118967,650161,-1,-1,880042,139059,282116,-1,-1,516214,408025,343653,90295,79055,-1,-1,-1,-1,547547,-1,-1,777686,-1,209907,-1,-1,566622,-1,378391,-1,-1,237056,-1,-1,-1,-1,622241,-1,-1,-1,-1,193793,328604,313108,-1,465804,-1,-1,-1,-1,-1,215777,-1,441599,559355,-1,959341,-1,642900,497589,79576,-1,-1,-1,-1,-1,972946,799009,865385,-1,-1,642621,596838,506809,-1,-1,673120,-1,62849,820794,591888,-1,-1,283553,-1,625283,-1,-1,-1,-1,-1,968342,197741,851329,932560,-1,800559,-1,-1,-1,-1,274806,658634,119924,-1,-1,-1,711236,-1,-1,325568,-1,748242,19085,401890,670227,-1,912657,161219,649863,523507,-1,-1,421933,879502,125822,252757,-1,406189,970830,82393,905240,-1,376860,-1,-1,100501,45969,-1,-1,-1,434939,-1,-1,884658,241728,200285,206567,479444,-1,-1,323085,-1,-1,-1,988030,-1,62441,854312,297426,-1,382904,-1,458338,-1,-1,837726,-1,-1,-1,-1,791886,-1,12132,429535,-1,80492,779955,-1,70272,-1,-1,193112,498494,60308,-1,742972,229226,-1,943632,352238,794779,697206,-1,-1,185372,-1,-1,-1,-1,439777,-1,-1,369127,-1,783708,-1,397809,177951,830500,161739,550498,987985,690614,109284,-1,-1,-1,368024,312378,248908,814290,175106,335119,-1,975720,-1,-1,-1,809349,581914,658405,418107,-1,593234,-1,874065,347083,-1,416260,662849,-1,-1,-1,-1,-1,280675,794867,-1,-1,894014,-1,-1,-1,717323,718049,-1,594762,-1,628038,998310,640676,-1,525413,-1,190403,832603,34674,508352,503807,877554,-1,79091,-1,858188,176287,394464,-1,177787,976131,68108,-1,332110,-1,-1,370925,-1,627829,-1,-1,-1,-1,610751,3768,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,22910,955078,-1,-1,914520,532354,-1,913154,-1,927714,-1,891524,-1,-1,662360,-1,-1,409853,252871,857380,243784,-1,71586,-1,-1,971286,461278,339064,-1,942126,424730,-1,293949,-1,-1,158410,478299,912464,-1,-1,-1,241296,851012,-1,-1,-1,-1,384123,-1,799590,77315,-1,583184,545030,-1,236632,19826,-1,-1,285880,874227,-1,-1,887352,243177,548485,-1,-1,147086,284906,767228,-1,418524,-1,-1,227081,94963,-1,439254,311422,968523,-1,-1,70438,-1,527603,-1,966649,-1,926192,-1,-1,829665,-1,819920,847342,-1,-1,223849,-1,-1,999705,-1,-1,269988,246295,779290,451396,-1,-1,-1,950338,437267,-1,620508,79364,801076,129546,-1,-1,-1,-1,-1,205198,468375,-1,636324,-1,-1,220563,418482,-1,653683,675715,-1,-1,995503,-1,357172,-1,583752,804480,-1,-1,-1,203978,-1,597695,895865,-1,-1,-1,-1,488325,-1,490122,-1,-1,482758,146158,-1,-1,708877,490997,-1,970508,-1,112710,555322,79870,-1,-1,199525,694349,681873,-1,919421,982110,5693,300774,-1,-1,300426,956991,640783,74858,-1,-1,642953,538962,-1,650595,-1,548858,188889,-1,628682,-1,-1,-1,-1,409918,-1,-1,-1,199719,-1,-1,-1,801606,996583,-1,-1,-1,620446,-1,456345,441701,-1,332466,-1,11544,911902,214290,-1,-1,-1,151095,992793,188787,-1,533751,-1,808356,429785,-1,-1,345251,896284,669012,847972,-1,310597,47763,221996,-1,372033,289517,576754,943280,-1,-1,-1,-1,199295,-1,968757,-1,-1,916537,-1,-1,-1,725934,-1,-1,-1,811574,-1,-1,728631,99678,102911,742210,-1,230604,-1,319203,-1,-1,508242,908692,962189,-1,608139,-1,-1,-1,282176,492779,758110,945956,206813,-1,465941,364038,921044,-1,-1,-1,987995,567214,-1,952122,-1,410603,578373,-1,458008,-1,585029,-1,-1,-1,58334,233665,-1,-1,-1,66840,-1,-1,178689,87761,-1,424276,-1,-1,-1,-1,641037,74764,265451,882781,-1,-1,38221,-1,855039,913508,825322,973816,-1,688849,-1,584929,-1,51556,197670,-1,-1,415232,-1,-1,774989,980298,-1,-1,-1,244819,-1,16526,-1,160454,-1,-1,-1,-1,-1,-1,-1,118502,-1,567692,-1,-1,-1,-1,778545,-1,-1,-1,-1,836891,-1,-1,-1,-1,870710,-1,816816,697943,-1,660069,755101,-1,59799,-1,-1,-1,867711,-1,-1,-1,357103,318084,439388,200365,-1,650519,210874,-1,231076,-1,-1,136084,163353,-1,580582,724880,800510,-1,-1,-1,948822,927491,882989,364236,358429,-1,310315,-1,394515,968089,-1,459959,643182,-1,-1,238348,-1,-1,306979,-1,147152,-1,-1,988595,-1,-1,711695,11090,810927,936574,815433,-1,698972,-1,389719,-1,750147,-1,-1,-1,-1,-1,-1,-1,798832,-1,215967,-1,638602,286722,799304,248497,-1,690854,-1,-1,100873,-1,97578,-1,-1,-1,-1,-1,941243,411790,771144,951558,-1,-1,-1,-1,-1,-1,722854,-1,-1,406328,169581,-1,-1,-1,-1,-1,-1,-1,-1,90345,-1,783385,715929,415002,202214,-1,64542,860492,296341,32216,-1,174240,394897,-1,-1,515503,-1,546630,33430,-1,17575,819821,766987,-1,-1,-1,-1,-1,670655,546078,-1,228285,-1,934528,71968,-1,655340,-1,-1,-1,-1,-1,704285,601411,-1,260302,873886,-1,-1,-1,18448,-1,-1,506441,-1,-1,-1,-1,-1,98547,677033,-1,-1,464145,482692,-1,443239,843070,239273,653284,-1,731574,508577,-1,472478,-1,-1,326478,958097,-1,844212,-1,32051,692131,-1,855800,341777,555563,-1,-1,869694,464221,688567,-1,543281,-1,-1,904137,-1,583115,862800,-1,-1,163305,724320,325081,-1,821202,-1,-1,388258,605622,793376,969648,838653,-1,-1,935833,-1,791036,218257,78522,536946,992718,692285,-1,884866,-1,426213,601874,540886,-1,-1,-1,-1,437943,-1,-1,622966,54151,630690,-1,-1,106401,160079,627335,329502,48365,759340,-1,-1,-1,323765,-1,613137,848119,-1,466018,-1,-1,-1,-1,-1,778160,-1,673405,-1,781205,859157,-1,-1,526659,611178,-1,-1,51724,-1,299081,-1,-1,-1,-1,-1,366020,218076,245756,-1,-1,150948,-1,-1,-1,689116,433702,766439,-1,565752,305869,-1,-1,48786,-1,-1,579840,-1,-1,585837,-1,218508,-1,-1,-1,15163,-1,-1,245394,365955,-1,213217,874429,-1,-1,106977,-1,601604,-1,-1,326928,-1,732175,622162,-1,953289,328436,-1,238728,367853,-1,-1,533139,-1,-1,179497,-1,693472,-1,789510,-1,317711,345326,-1,872488,-1,-1,947984,-1,-1,-1,53418,-1,-1,-1,431307,240920,772235,-1,110449,-1,45153,312003,-1,-1,466632,-1,873517,-1,98960,562027,-1,800214,-1,940129,615253,-1,-1,-1,-1,-1,-1,94272,220838,-1,147392,296483,-1,660588,336313,-1,443121,-1,-1,-1,-1,-1,-1,818943,573137,-1,455992,-1,612515,339744,508718,-1,651090,800553,-1,91989,-1,-1,-1,-1,-1,799690,-1,-1,522100,-1,-1,509932,-1,-1,-1,92225,540352,344822,164392,-1,-1,-1,-1,-1,-1,-1,382052,136323,580126,209446,-1,-1,-1,-1,-1,241227,-1,-1,460685,671529,132065,412937,-1,532882,-1,777008,-1,-1,401899,-1,724267,-1,-1,-1,-1,-1,801593,-1,118050,-1,-1,-1,34368,-1,-1,-1,-1,598122,289636,-1,-1,-1,-1,-1,-1,735872,-1,-1,610424,160093,938304,777419,-1,106185,705943,875877,-1,861675,392483,-1,-1,-1,-1,-1,-1,217779,-1,661382,162644,970403,-1,-1,402402,-1,638952,-1,-1,-1,252457,-1,-1,84469,-1,-1,-1,-1,34137,-1,-1,251475,872814,924247,-1,-1,210806,85129,-1,-1,-1,261885,948227,-1,382459,267535,990498,-1,-1,380067,-1,754873,392944,-1,-1,-1,-1,-1,-1,993338,-1,953236,312352,-1,650722,751058,134239,-1,-1,349514,74414,532571,128680,196248,-1,741350,18790,-1,-1,-1,732877,312422,70956,-1,-1,-1,680185,35939,502651,-1,-1,-1,593807,873108,-1,698329,278303,742922,103738,302226,861438,607634,7953,-1,814786,928,-1,-1,204385,27360,-1,620857,-1,212590,-1,-1,-1,-1,-1,916104,-1,366580,908303,-1,711813,52550,-1,682273,763364,555114,369079,638524,875122,983087,-1,488198,-1,-1,-1,-1,907835,-1,-1,-1,-1,997501,173736,737244,494065,287403,440380,78444,-1,-1,-1,397326,714747,135383,419176,36017,-1,592313,-1,190609,-1,-1,458068,-1,307553,74308,744078,453393,-1,301130,-1,124787,-1,-1,194926,7777,-1,-1,-1,-1,-1,-1,-1,966180,-1,-1,175927,62775,-1,-1,783032,-1,-1,-1,-1,-1,850066,665003,-1,-1,842270,127229,779536,-1,-1,494109,235031,915671,-1,-1,-1,-1,-1,-1,719404,815289,-1,-1,621076,346473,260291,721322,894742,676720,-1,885154,-1,-1,232941,963247,-1,-1,697737,-1,-1,972876,-1,-1,-1,972953,315577,-1,-1,197094,972554,-1,660152,-1,-1,792346,538860,813218,470708,-1,-1,447186,359270,538553,-1,-1,-1,-1,-1,473140,673268,-1,-1,153709,-1,139364,581788,736974,758279,125488,855904,-1,-1,-1,-1,-1,-1,695472,388558,935371,-1,-1,-1,-1,718386,769978,-1,727892,682491,-1,723066,108580,442160,-1,706188,983539,-1,-1,767700,-1,16252,709591,592293,54111,-1,-1,-1,-1,463290,272465,-1,-1,-1,807509,-1,-1,70624,818156,-1,754057,630883,-1,95616,-1,147357,-1,971840,-1,556690,199090,-1,-1,764609,-1,985834,-1,-1,832205,552698,-1,-1,-1,751243,-1,-1,-1,-1,946248,-1,489515,789896,268447,243816,453588,-1,-1,-1,369154,-1,663464,254122,-1,-1,-1,785339,7954,-1,311333,580161,590322,-1,-1,-1,756610,-1,577837,570397,172363,-1,988208,730151,-1,-1,983480,920071,-1,843630,405989,758930,589354,390067,-1,536097,-1,683881,422179,497834,619267,-1,-1,373705,-1,888213,713208,463650,-1,532490,120419,626698,-1,633795,889335,4345,695768,-1,-1,446725,689308,-1,888352,-1,-1,462079,-1,139138,721064,-1,-1,-1,860337,-1,210480,214101,678642,989178,-1,52622,635269,213572,806611,-1,-1,115213,180785,-1,31484,-1,313990,437871,-1,304876,785354,-1,640045,-1,-1,446896,262170,-1,-1,296096,-1,74426,844365,-1,557049,605504,-1,-1,-1,-1,392493,257009,-1,713368,-1,31913,-1,-1,398022,866734,145105,-1,576044,-1,-1,-1,359913,-1,966175,-1,397208,837767,-1,-1,738804,600925,939072,403264,714761,642269,-1,-1,-1,506442,126965,773429,-1,746797,650086,-1,523778,-1,796505,-1,149138,927881,-1,474499,23410,451023,-1,418642,501483,704059,-1,39758,-1,444128,618487,608134,-1,-1,-1,-1,-1,-1,753186,158209,910703,641113,-1,255283,832464,-1,474448,992309,-1,-1,-1,-1,-1,-1,938189,-1,100194,-1,-1,-1,94366,-1,915638,-1,620825,767396,-1,729437,978754,556257,-1,-1,744968,11258,-1,170140,-1,-1,289872,459710,666362,466425,5018,33938,-1,337251,965468,-1,21355,875589,-1,74257,-1,-1,-1,-1,769704,740583,-1,-1,-1,-1,218397,796462,-1,-1,-1,7087,509837,-1,918570,57835,17502,-1,385612,81534,-1,945565,-1,-1,-1,-1,-1,284366,190154,-1,-1,-1,427188,-1,160526,-1,712357,13457,-1,675487,780329,-1,918809,727860,825669,422896,-1,769737,185134,-1,648268,-1,894182,401748,958175,883651,402059,243806,886134,-1,885395,-1,484100,-1,-1,-1,912301,793970,-1,-1,-1,493268,347297,-1,-1,-1,-1,-1,-1,-1,957893,269525,520572,-1,-1,83126,869322,826415,733770,-1,-1,123584,-1,782550,-1,173037,-1,752102,952630,762403,796528,184690,-1,-1,-1,-1,987501,-1,784067,34970,318900,89228,308154,-1,-1,-1,-1,-1,-1,589072,-1,846653,-1,138394,315554,192768,-1,-1,693138,66580,824923,64947,-1,268985,963021,-1,420979,73167,717322,520135,-1,80690,627139,773495,-1,327348,488345,-1,-1,280986,34740,315658,-1,-1,-1,681482,596257,686172,76594,-1,-1,-1,302457,951676,628062,29838,460015,-1,-1,496604,-1,837631,574480,-1,144357,149038,136726,-1,-1,-1,-1,953735,816795,66164,739365,908440,250657,-1,-1,-1,542817,643260,-1,729314,-1,561184,451196,-1,-1,-1,-1,482229,-1,629183,80283,-1,223541,-1,73789,756274,-1,-1,-1,197749,-1,-1,716267,469587,36930,-1,-1,-1,-1,800996,-1,940924,506364,96218,426474,587000,-1,46169,-1,-1,779128,-1,-1,-1,-1,520552,-1,574445,973322,-1,470815,819721,-1,-1,-1,-1,207017,517009,-1,83273,941404,-1,-1,-1,-1,177266,268557,-1,-1,-1,-1,-1,888324,415228,-1,879572,-1,502035,279428,34976,-1,741196,339309,305146,-1,-1,-1,874600,-1,286153,-1,-1,890584,387225,37479,78822,-1,-1,761112,-1,464912,-1,-1,473009,-1,232611,-1,801584,282984,486977,579233,-1,941398,947398,379367,951186,-1,-1,154750,-1,-1,-1,225271,-1,-1,225837,772935,-1,-1,-1,-1,40243,-1,-1,785280,-1,-1,-1,785967,-1,-1,-1,66664,-1,937869,638315,-1,86353,-1,-1,-1,-1,-1,911433,-1,-1,-1,-1,692126,-1,697591,-1,-1,-1,54997,980903,-1,129347,991905,-1,-1,796463,658740,977498,-1,-1,-1,201372,-1,695249,80408,835610,996858,383117,-1,873953,-1,-1,-1,-1,-1,-1,473482,-1,841284,-1,408261,-1,774536,240377,758974,-1,-1,358951,76305,123653,699854,800245,461018,429285,-1,-1,-1,-1,133716,771129,-1,801813,479907,280638,834379,-1,-1,202097,926899,55376,539090,-1,825429,-1,-1,641672,-1,-1,-1,904963,598245,-1,733042,-1,812124,-1,253718,124150,-1,-1,-1,-1,-1,-1,13717,-1,785395,-1,-1,818859,-1,-1,-1,-1,-1,68196,-1,764914,80989,-1,580318,-1,-1,707838,-1,58278,256601,129868,-1,471433,-1,835663,-1,-1,224073,-1,7366,-1,-1,221387,135927,-1,118017,859878,-1,564989,875536,532782,58191,904485,367548,722590,237272,621442,339974,609981,69943,853865,-1,-1,-1,-1,388865,680381,141188,681961,570419,-1,578905,-1,386043,-1,-1,-1,368747,-1,-1,-1,688233,-1,849537,944615,-1,-1,-1,154731,727842,-1,-1,773612,943157,-1,252187,-1,-1,-1,-1,798186,-1,-1,-1,772662,-1,-1,-1,189274,-1,-1,-1,986127,931344,882218,667151,80762,375613,321057,513762,-1,136083,-1,-1,847765,629060,-1,-1,-1,-1,-1,-1,-1,942413,-1,812894,724739,-1,-1,-1,-1,-1,-1,50737,-1,282929,-1,787904,222407,-1,-1,-1,761672,-1,899605,-1,-1,-1,890100,-1,-1,629354,-1,-1,990960,-1,736008,-1,804467,-1,-1,142373,908714,-1,-1,-1,945978,-1,204233,-1,-1,934047,-1,256297,-1,673647,215252,109501,242909,-1,445545,538246,887746,955663,570937,-1,-1,-1,117331,115120,-1,-1,20735,902103,957265,-1,-1,921596,636501,-1,-1,380965,-1,-1,-1,359842,564255,-1,729706,586562,165778,232535,-1,-1,186370,-1,-1,-1,-1,-1,645959,-1,944743,455867,769605,-1,345279,-1,629973,886788,450978,-1,806236,-1,428086,-1,-1,366181,-1,415993,-1,639252,638320,323948,-1,407205,-1,428649,-1,-1,-1,-1,-1,-1,-1,126816,930592,-1,-1,697941,589188,-1,884642,-1,174141,-1,-1,420264,827555,-1,874759,-1,11985,-1,-1,-1,44381,-1,-1,-1,167715,-1,-1,-1,37423,-1,735910,455595,-1,-1,-1,-1,-1,-1,-1,-1,-1,357562,-1,-1,928986,843043,319521,297966,102245,646022,728665,-1,827538,-1,3141,510021,329736,-1,-1,-1,-1,-1,-1,-1,718997,41104,60735,12173,2871,-1,-1,678789,698387,592711,441937,-1,678068,420761,25628,-1,-1,-1,112196,496309,-1,-1,-1,714459,-1,804390,-1,989991,755164,-1,539327,264160,102191,-1,153428,806292,897104,64715,972557,43946,897181,63668,913431,-1,464447,-1,-1,854725,43796,144090,322076,69654,391051,-1,-1,321771,981876,163030,-1,787617,-1,-1,-1,-1,-1,802666,-1,990539,-1,-1,623923,-1,437858,-1,308888,-1,-1,346510,-1,624430,779247,-1,-1,-1,-1,-1,442945,971008,196992,893001,269339,-1,-1,663415,188989,-1,-1,254861,938105,-1,886219,-1,-1,-1,633480,344884,16881,227353,875205,-1,-1,-1,-1,-1,160825,252989,895051,-1,-1,-1,-1,-1,342520,-1,31659,-1,224741,901441,-1,-1,-1,-1,-1,-1,-1,966718,542643,732143,480902,510118,967193,756334,-1,-1,653401,-1,841363,-1,-1,686331,918421,526740,761187,-1,-1,780294,505660,956597,-1,241923,-1,838323,-1,-1,-1,125724,945114,687829,904133,-1,84606,-1,495819,-1,978009,856710,-1,445027,291605,83257,447547,22213,-1,-1,-1,472054,-1,964622,386297,-1,615004,973367,785319,-1,16362,-1,330735,-1,-1,208340,-1,318181,-1,-1,-1,-1,414150,-1,-1,70223,208763,-1,967890,-1,208040,381431,528422,962881,185261,885460,-1,-1,-1,-1,241884,353987,-1,-1,227329,737831,-1,-1,761920,654509,486552,-1,822688,-1,534186,644143,745115,-1,60571,161227,-1,-1,-1,-1,788979,-1,584273,-1,892359,-1,427105,116355,-1,-1,847545,-1,-1,701224,494264,655738,-1,-1,-1,849435,-1,-1,238742,574943,814837,-1,-1,-1,755234,-1,-1,-1,-1,-1,412268,65376,-1,684526,-1,25703,-1,721708,-1,389031,813952,-1,-1,975431,528566,-1,768852,-1,-1,-1,-1,-1,-1,-1,905903,601347,-1,547533,-1,-1,-1,318289,-1,-1,695514,857362,59191,-1,-1,65779,723236,801817,601468,-1,785648,-1,-1,-1,814190,-1,566671,903781,29447,543296,-1,290521,-1,697407,129583,-1,712580,749954,729115,938214,183704,-1,-1,834467,-1,-1,443876,-1,648604,-1,-1,-1,-1,154051,372534,479486,-1,-1,-1,-1,185070,-1,-1,-1,-1,256982,-1,-1,374113,881283,583982,-1,773906,587635,254368,829607,365513,-1,728826,-1,-1,485747,-1,252021,461783,495408,-1,150081,-1,-1,248437,-1,68572,570789,-1,-1,-1,-1,844312,992930,599821,-1,877105,398522,730970,-1,-1,-1,-1,-1,-1,612630,910632,508189,811141,-1,437828,-1,928047,675180,908446,433320,-1,-1,-1,-1,288735,436270,361939,-1,-1,228902,837669,908098,-1,-1,-1,-1,-1,17404,618866,-1,-1,-1,-1,-1,549478,89117,-1,-1,-1,-1,-1,-1,861477,112241,535039,-1,-1,732603,-1,-1,-1,-1,537443,-1,226279,-1,-1,-1,-1,346788,-1,-1,-1,-1,-1,-1,293601,-1,-1,305533,-1,-1,-1,286676,39076,-1,368488,-1,114178,770223,-1,333233,-1,-1,-1,-1,609185,896352,-1,367970,-1,-1,-1,-1,-1,101225,-1,324719,-1,-1,680672,-1,158024,-1,-1,558738,-1,-1,-1,836249,504263,965548,-1,464249,310768,-1,-1,-1,443750,-1,-1,-1,-1,484043,55641,584818,909516,-1,-1,-1,403169,-1,-1,876746,120388,734676,-1,-1,591016,-1,-1,581494,317613,606369,-1,-1,395274,34916,-1,192890,120593,711939,-1,-1,667630,-1,224322,382301,-1,-1,190606,-1,-1,3053,-1,-1,-1,361993,-1,134223,91667,215740,-1,-1,-1,771650,-1,155832,-1,-1,-1,576911,920118,415485,-1,526497,457018,-1,764485,961981,-1,-1,-1,-1,819604,597966,-1,275828,-1,731759,553527,714403,-1,620819,414616,655187,243459,-1,-1,697118,48806,848836,767262,-1,410777,-1,-1,856769,886541,-1,-1,-1,888595,986080,-1,259636,-1,-1,-1,880,306414,-1,860524,-1,-1,-1,664337,-1,-1,762689,927167,-1,-1,129547,-1,-1,234952,-1,134897,173924,489414,-1,666889,809482,-1,-1,-1,-1,861725,594309,738098,397264,112101,-1,-1,-1,933780,656505,-1,778602,-1,469161,753232,-1,-1,764735,-1,448327,856064,-1,771386,-1,785691,306932,-1,157813,-1,420769,-1,-1,-1,-1,295661,-1,604588,-1,657454,-1,956561,608005,-1,-1,369277,891651,-1,-1,376135,-1,-1,-1,-1,-1,-1,-1,575034,892831,-1,-1,-1,-1,713819,173075,139818,667140,855707,-1,668733,-1,66622,875943,366231,609609,718105,-1,614957,866402,-1,757451,-1,774259,129504,239188,-1,-1,-1,-1,333215,-1,493908,717367,223195,810312,-1,587723,813506,-1,-1,751272,-1,-1,878598,702497,475921,-1,61334,-1,613434,-1,-1,755110,-1,897063,385962,-1,397028,589699,-1,544867,-1,-1,-1,-1,409449,-1,-1,-1,-1,-1,815348,-1,-1,-1,758489,703819,543739,304859,-1,540108,165729,-1,-1,129656,-1,471887,552638,-1,-1,-1,276354,881016,-1,-1,-1,954163,302148,-1,404843,-1,750126,-1,212475,244113,620738,-1,-1,-1,-1,-1,-1,-1,471500,-1,-1,125702,-1,-1,-1,-1,965695,-1,-1,-1,-1,791577,-1,526248,-1,-1,946572,704879,-1,778477,-1,821625,302953,649721,-1,-1,968180,528161,198926,-1,-1,-1,-1,412585,-1,-1,538345,-1,558708,858955,-1,-1,-1,-1,-1,-1,422313,-1,927483,-1,965933,496164,-1,-1,618820,-1,365852,-1,152120,-1,695256,491496,323718,802473,421395,-1,875018,114344,-1,-1,87637,667641,-1,-1,841268,240642,-1,124073,749516,-1,149361,-1,64056,-1,-1,-1,-1,159488,951976,594848,-1,-1,609739,-1,-1,955068,-1,419278,-1,-1,-1,819853,990474,-1,476437,-1,486876,-1,-1,-1,102850,-1,68389,-1,749201,-1,-1,-1,487954,743728,334024,645802,447012,47825,127116,133084,-1,-1,-1,726467,572308,-1,651859,205873,-1,22879,319361,467353,-1,581844,-1,-1,174345,-1,716414,137984,735669,590364,540081,113243,40134,-1,-1,258257,974489,-1,-1,508097,-1,212441,-1,87817,545852,-1,-1,-1,-1,867509,310866,-1,399397,-1,-1,823922,276089,973604,-1,-1,611656,-1,-1,-1,141164,694378,-1,13073,114735,968108,770896,837500,-1,520029,429400,607311,-1,619678,-1,709461,729823,-1,155973,-1,-1,371027,380883,89074,-1,-1,353160,-1,-1,808357,255187,-1,19945,-1,-1,-1,-1,26413,695015,70731,513486,-1,19066,561415,428759,735437,685272,524427,952466,804420,831109,250725,738961,-1,-1,222928,-1,115527,843757,775712,935752,-1,713841,973140,-1,96035,-1,-1,332297,-1,-1,290948,-1,606904,-1,819816,-1,-1,353930,-1,837212,-1,943617,-1,-1,649558,-1,564039,531916,-1,855971,-1,-1,-1,541768,108321,262309,584999,-1,701205,-1,-1,-1,191594,515420,802776,-1,737117,175890,930561,620974,156317,-1,636536,-1,-1,-1,-1,740465,-1,458850,519382,-1,389596,992057,-1,40837,-1,-1,187365,-1,-1,-1,-1,-1,94529,580973,-1,-1,-1,353556,275311,597413,-1,984353,571213,28519,-1,-1,-1,633601,424453,183403,-1,-1,322363,-1,909411,200720,-1,285057,-1,353954,774173,-1,-1,330583,-1,370973,77699,433290,477965,-1,977995,74920,-1,-1,-1,125016,61738,-1,405605,363843,-1,-1,281095,55468,-1,-1,-1,102720,91870,218170,-1,-1,-1,-1,506182,934467,-1,-1,-1,-1,49152,29281,378944,966621,807427,-1,-1,-1,739715,-1,823402,219425,473419,-1,-1,-1,-1,-1,-1,539250,824267,991217,180927,431590,948330,-1,81067,-1,-1,421453,-1,-1,570722,-1,281253,357985,-1,-1,-1,557606,202789,678755,-1,-1,-1,992624,-1,587617,77191,-1,615230,-1,640440,146849,-1,-1,499642,796033,-1,588293,20010,835290,302427,-1,983925,-1,-1,146124,531703,964316,-1,-1,-1,669547,-1,703046,770447,423539,-1,426677,-1,-1,-1,-1,-1,-1,171277,-1,970651,310992,-1,10830,755239,-1,-1,247018,-1,-1,500707,473514,-1,647079,-1,108999,-1,958185,-1,91973,288135,-1,418751,839012,-1,-1,-1,452345,-1,-1,-1,-1,-1,142172,474953,456844,-1,-1,635249,173263,-1,-1,7186,-1,203571,-1,376802,-1,-1,433296,-1,433099,478877,202083,-1,-1,-1,-1,439887,-1,176740,-1,750796,282347,514533,758105,-1,119940,-1,563668,942809,140693,-1,-1,682734,144966,-1,-1,734879,-1,637540,-1,986501,-1,865548,-1,-1,-1,434681,-1,128093,148691,410440,-1,-1,790817,367335,625708,695293,-1,-1,130881,20353,-1,-1,-1,-1,-1,-1,-1,762217,-1,-1,-1,670164,208352,736228,126257,324919,-1,484747,-1,-1,638648,754170,-1,-1,447476,593112,214080,-1,676840,-1,173699,261493,354495,61558,756578,380722,959721,-1,-1,904930,-1,-1,-1,-1,401859,-1,-1,-1,223528,62921,-1,25208,-1,704949,1739,-1,-1,-1,504157,-1,-1,-1,-1,868198,869025,-1,425060,-1,584203,-1,-1,-1,612029,845455,36445,574461,586200,-1,-1,-1,-1,-1,562582,-1,710728,-1,63748,430758,-1,-1,2073,-1,-1,318284,980193,-1,-1,42984,-1,947523,254183,600653,-1,-1,680663,169791,-1,-1,-1,-1,-1,-1,-1,999644,-1,-1,169375,587157,-1,-1,64128,565217,-1,-1,-1,252003,-1,-1,796937,-1,-1,141829,-1,-1,-1,-1,-1,1810,804987,727407,474542,93877,728922,309926,733181,-1,-1,-1,600481,886478,160333,708584,-1,-1,100779,818805,-1,-1,-1,496371,47347,481702,-1,-1,381881,-1,146489,-1,-1,119628,49716,172875,-1,-1,-1,336031,-1,-1,482250,-1,-1,134380,242396,318083,467377,-1,-1,-1,873033,827589,-1,599523,105295,-1,658904,-1,98797,-1,595062,-1,-1,-1,416054,328110,669030,-1,379363,-1,746929,-1,-1,-1,351696,918581,-1,42547,577744,-1,-1,741638,373626,-1,-1,229040,345098,-1,-1,-1,-1,-1,-1,37075,846597,-1,-1,846065,132000,-1,568420,-1,-1,-1,48348,48305,-1,-1,-1,-1,-1,-1,-1,47273,807763,187399,-1,-1,467907,-1,396108,-1,831115,-1,-1,-1,-1,471375,708970,-1,877735,899810,721428,-1,-1,273575,659006,637143,-1,-1,-1,-1,746114,-1,-1,-1,-1,530086,-1,315972,407425,-1,-1,-1,970281,259298,687200,-1,-1,-1,-1,379168,89436,449592,539469,868350,-1,-1,491398,458934,598145,416010,-1,-1,-1,-1,-1,-1,-1,-1,284882,-1,-1,928829,76460,-1,362558,-1,145977,207613,-1,-1,-1,893328,292023,-1,-1,-1,251022,949114,-1,888497,838963,-1,-1,472802,-1,458462,645174,-1,937006,-1,-1,-1,-1,795791,-1,-1,64125,904736,-1,-1,-1,214370,938748,-1,-1,540558,199336,-1,348694,217226,-1,-1,948090,-1,-1,433271,-1,644472,351506,-1,-1,-1,400781,557777,221682,701144,14620,-1,258916,350684,359701,180242,-1,542046,864059,166299,781411,429499,827266,518516,173403,-1,111329,95552,440795,952925,893307,377420,-1,-1,-1,-1,-1,898863,574851,-1,-1,-1,-1,-1,691263,-1,994270,930006,650384,-1,927341,-1,-1,-1,818613,-1,781091,-1,593555,-1,756262,-1,393450,-1,904348,320481,318675,255974,-1,-1,-1,699093,-1,165917,306605,107158,538527,-1,631409,749582,-1,-1,-1,-1,-1,736998,-1,414368,-1,-1,672005,789765,-1,839867,-1,39295,515940,-1,-1,187655,-1,-1,-1,623179,-1,81588,668483,-1,-1,220529,141886,684579,509773,844893,-1,-1,-1,602597,227271,315275,-1,145924,661004,334706,926279,-1,807530,-1,-1,399237,-1,485396,105745,746345,416456,523949,-1,-1,46630,-1,265373,-1,441300,-1,951298,-1,314115,384252,830036,-1,724400,9139,388088,-1,-1,857480,199227,722696,537567,255115,740078,-1,-1,980710,-1,748897,-1,194680,73639,621447,616554,-1,58775,287774,695549,-1,-1,38146,-1,533113,118301,-1,-1,523078,995019,-1,-1,522524,-1,859015,-1,-1,545669,-1,671173,-1,-1,798528,685452,-1,-1,-1,460136,-1,-1,-1,-1,-1,355251,-1,553225,157168,622326,559939,395025,137719,-1,762174,-1,473265,997706,-1,-1,-1,749574,-1,909138,-1,397129,-1,563565,697112,-1,444958,849897,429757,892977,49847,942166,258981,784470,315699,-1,598514,-1,-1,-1,-1,588817,-1,-1,-1,-1,-1,-1,-1,211342,166197,-1,353316,-1,873131,218072,75198,-1,969295,740349,518567,-1,-1,-1,-1,449515,382543,-1,833348,-1,596371,-1,444097,-1,420360,737682,-1,-1,21033,-1,24460,-1,-1,290266,357838,739491,360717,-1,-1,7474,-1,270867,-1,-1,-1,-1,48920,-1,-1,302436,474805,-1,162254,-1,672361,706168,-1,8283,-1,393750,170048,-1,22141,-1,715407,-1,463393,871501,-1,-1,-1,-1,414487,459681,554428,-1,634813,981567,233612,-1,-1,-1,-1,-1,145505,-1,734298,849837,158922,672109,502305,-1,97397,498574,-1,-1,445836,-1,-1,-1,-1,932092,149846,384993,919146,20094,379590,229550,-1,396348,901009,-1,900558,-1,220687,387659,899564,509310,-1,240027,310727,-1,943808,754304,-1,507754,-1,-1,-1,503954,-1,765287,589628,665212,-1,159322,405878,-1,-1,891364,-1,827976,-1,-1,-1,728992,121953,-1,-1,-1,-1,154017,-1,482816,675562,-1,-1,625220,362134,-1,-1,-1,174389,-1,-1,727170,474124,-1,-1,-1,-1,219482,-1,260530,442438,34426,-1,141578,917783,-1,749973,-1,576328,787984,303836,-1,-1,537962,-1,-1,349322,576725,35894,-1,150973,-1,-1,105503,717704,70867,19773,-1,659367,-1,869653,-1,889863,-1,547928,-1,-1,-1,-1,-1,641228,606331,-1,491306,847505,-1,-1,-1,-1,-1,-1,909787,94947,630259,-1,-1,-1,532187,493775,908941,305639,81201,929493,-1,648459,-1,-1,-1,-1,-1,934367,836252,35718,-1,943702,-1,-1,653341,-1,-1,-1,192311,-1,-1,-1,-1,783272,-1,-1,-1,56608,869226,476355,-1,1805,-1,35287,377303,-1,-1,813937,-1,-1,461669,-1,339725,-1,296322,380196,44517,234608,389158,-1,-1,-1,850736,-1,469629,-1,-1,310375,885747,279894,-1,139328,-1,980355,-1,444138,-1,20294,-1,-1,165091,148853,950799,646582,-1,-1,721289,235940,492940,877387,-1,801437,-1,-1,-1,99234,978585,512467,298715,39358,-1,56058,-1,217268,955567,83206,-1,97930,-1,567089,572533,110970,-1,743806,-1,603521,484687,334669,-1,88342,-1,897980,465774,-1,660946,-1,-1,304163,900331,-1,-1,-1,444584,-1,77682,-1,111566,733111,-1,-1,-1,791006,463934,262294,432030,-1,-1,917132,609783,-1,220195,290762,-1,438675,-1,148486,-1,547997,623687,-1,642103,408883,-1,107772,707610,202284,402602,633334,808833,515902,379634,216725,-1,-1,46388,-1,936614,-1,61759,-1,-1,-1,-1,874972,953478,203253,-1,-1,-1,-1,115886,-1,-1,551182,-1,385535,849613,-1,-1,234195,-1,-1,-1,165696,623114,795269,678484,156805,-1,395631,329901,889089,-1,-1,709610,-1,-1,139669,643551,-1,-1,495178,605820,188340,-1,-1,505348,694348,695146,-1,276744,-1,-1,471615,-1,-1,724659,441680,-1,-1,914427,-1,398730,-1,-1,378693,-1,239941,-1,-1,510928,-1,-1,684376,80672,606264,-1,299958,-1,887395,-1,-1,-1,812303,239666,-1,355065,815181,990259,-1,-1,-1,32550,-1,209688,-1,-1,-1,-1,-1,731562,-1,430455,-1,-1,-1,-1,100316,-1,59580,-1,-1,977401,-1,93424,437875,199906,-1,197327,-1,110638,-1,433020,796778,951601,-1,-1,854175,778631,717006,-1,-1,896246,-1,490833,-1,676548,410046,204219,262397,-1,799152,-1,268078,-1,-1,885324,67801,331670,993843,-1,-1,-1,837202,184054,98439,137422,-1,-1,291946,608524,-1,674079,148062,-1,279813,-1,918892,368533,120400,652762,-1,-1,939492,-1,190448,-1,502449,-1,-1,46501,-1,308745,-1,646396,-1,126530,606913,190743,980733,-1,-1,-1,-1,538399,-1,-1,260222,-1,904799,-1,-1,-1,-1,620673,-1,-1,89986,-1,-1,456740,-1,-1,-1,790264,891245,-1,-1,-1,878513,-1,-1,544890,494004,806678,-1,-1,-1,-1,12096,148489,561822,218910,-1,-1,203892,-1,453301,684978,-1,-1,766353,152320,514680,2126,51129,774735,-1,-1,950971,243231,-1,-1,-1,-1,-1,-1,533645,246060,-1,510880,399552,-1,-1,-1,623380,658322,106627,726239,178943,-1,320564,-1,-1,776638,-1,-1,-1,340503,-1,-1,911224,898055,794041,81451,309023,-1,412704,-1,-1,939994,442858,528153,728868,-1,455517,160961,-1,242728,4248,926055,467883,-1,-1,700777,-1,364544,-1,-1,497729,-1,-1,124318,-1,-1,-1,-1,440312,-1,-1,-1,-1,-1,409077,39413,112021,-1,-1,-1,-1,-1,227231,-1,-1,187759,202496,457602,853203,774096,216952,-1,-1,-1,842152,547343,571615,-1,-1,989275,958195,276660,-1,566003,-1,810418,-1,726881,-1,-1,584715,997324,-1,238397,-1,-1,-1,705290,-1,-1,-1,-1,-1,815725,938562,214302,-1,-1,585206,56174,626251,-1,43224,-1,193226,-1,-1,852535,604743,-1,-1,368243,-1,897380,-1,739688,336567,165103,293719,-1,-1,-1,-1,993736,974240,-1,-1,-1,-1,-1,-1,453848,217622,-1,870558,-1,307322,-1,-1,-1,-1,302214,-1,901473,590210,-1,-1,178790,-1,-1,-1,-1,-1,8977,65204,130087,710375,510414,-1,142563,-1,-1,80941,-1,-1,567958,-1,-1,827238,-1,-1,726902,-1,662104,-1,-1,348517,683387,150954,-1,906682,21554,-1,-1,667300,712163,483098,637524,-1,610694,106640,34689,-1,747542,-1,-1,158904,-1,-1,858373,-1,-1,-1,668049,549729,-1,398603,-1,-1,-1,666610,-1,456407,161830,-1,295943,466153,839129,-1,-1,-1,-1,538006,659574,102908,-1,944804,-1,173308,-1,-1,47846,39420,-1,919510,-1,181127,-1,-1,578379,590354,589939,917177,971762,-1,-1,871649,951016,557671,-1,385353,-1,147886,116034,-1,-1,-1,898518,-1,-1,-1,12447,-1,-1,123288,-1,438033,-1,755717,-1,-1,-1,-1,-1,449627,-1,682887,259349,208047,572122,-1,828100,-1,-1,794330,-1,-1,60552,-1,-1,508989,-1,325739,529456,191481,140679,127940,-1,934008,811058,590193,-1,-1,-1,-1,-1,-1,-1,-1,673189,733749,941463,-1,748063,629732,-1,43845,-1,-1,-1,-1,361126,-1,994167,305408,-1,811776,-1,562243,455734,-1,348056,359521,560916,415831,-1,446573,706391,-1,-1,-1,778002,-1,-1,-1,797401,-1,115868,-1,463949,-1,-1,786111,470319,484691,-1,839106,-1,-1,-1,647175,-1,850842,-1,-1,-1,681588,179372,276343,736302,490008,-1,643103,-1,528503,-1,450411,328899,246363,-1,157421,-1,235513,49792,787807,328616,992440,584457,701099,-1,53120,92173,927434,825907,804304,-1,-1,718677,26523,295027,883757,-1,-1,-1,182140,-1,174740,911583,225719,610715,-1,-1,-1,-1,78243,-1,962275,871984,474241,-1,-1,62612,-1,505637,-1,205129,720622,-1,-1,-1,997681,-1,369165,322568,-1,252319,-1,717681,686470,12017,-1,780211,574554,36256,-1,-1,386568,-1,40840,713726,-1,945410,875490,698879,177663,929520,591435,-1,794211,-1,-1,713032,581369,-1,-1,438724,-1,-1,819582,800533,521071,539504,-1,965345,-1,-1,-1,-1,-1,224104,336601,439974,664233,44152,-1,-1,64824,662385,-1,6150,-1,864285,-1,992570,609901,-1,-1,-1,284940,545777,-1,619667,-1,526632,-1,893429,-1,-1,-1,244506,-1,915586,-1,-1,753611,-1,-1,365201,888963,-1,-1,433077,-1,-1,-1,-1,-1,-1,769308,-1,550975,305520,-1,339102,-1,-1,779063,-1,522329,-1,151800,629160,-1,-1,561223,215476,-1,-1,205003,520832,687418,-1,-1,-1,120880,509858,-1,287966,596040,-1,-1,111179,234935,-1,74115,643444,-1,335017,-1,-1,333867,-1,-1,207320,772487,-1,-1,-1,712,-1,-1,-1,781744,611412,-1,512798,502704,-1,-1,-1,567307,-1,61203,84077,-1,745507,-1,-1,174577,232389,59153,841461,434822,-1,-1,320978,-1,-1,-1,-1,413728,344924,1197,-1,468513,-1,711823,-1,71456,664707,10333,-1,669193,446201,758676,272376,318161,-1,481189,-1,976929,389007,30303,558754,727193,459655,-1,287716,223179,-1,199296,66801,-1,-1,629937,555948,353603,-1,874547,-1,-1,-1,966749,241827,18971,-1,-1,572674,-1,715029,-1,624246,363150,633918,360133,-1,-1,172064,-1,-1,507983,-1,819087,342037,107751,357774,868018,297261,-1,-1,851415,215072,-1,402498,-1,576796,309349,497531,-1,553273,-1,571987,69600,78723,-1,-1,929830,-1,285791,-1,980653,-1,851515,270696,349404,-1,-1,-1,668591,148095,-1,387867,-1,-1,-1,776271,633836,-1,617221,528821,384575,-1,321831,985491,-1,-1,45508,548131,23104,-1,-1,-1,-1,-1,-1,-1,124817,-1,808841,-1,354132,-1,-1,508699,-1,-1,-1,-1,-1,894224,-1,-1,-1,-1,819701,91322,-1,-1,761941,-1,218449,84092,-1,994202,-1,-1,-1,-1,-1,84957,-1,545500,-1,61739,-1,431219,655707,-1,-1,-1,21559,-1,413556,890658,956569,663360,668355,-1,-1,-1,-1,-1,-1,784833,-1,919684,49578,-1,498319,-1,168639,-1,-1,931621,255500,-1,214546,72371,-1,60613,118642,982626,-1,165569,-1,-1,-1,424771,-1,222904,326354,109314,-1,174149,857754,-1,-1,97785,314841,-1,776877,-1,505312,111904,228059,18674,-1,-1,367651,-1,131306,631640,28761,19890,-1,590259,204110,262082,522244,-1,884482,792545,-1,537963,825535,-1,223527,727123,559650,-1,842782,375264,131970,-1,419329,-1,-1,745163,851137,-1,-1,787172,-1,42090,-1,409605,163898,855011,-1,-1,-1,-1,747136,-1,-1,-1,693680,469225,963221,680643,344364,398870,-1,-1,-1,842528,-1,-1,819099,-1,-1,-1,152524,997712,916299,559404,462939,-1,-1,-1,-1,621009,950491,601298,235511,804954,-1,-1,-1,600450,722905,-1,-1,-1,357291,412740,-1,870838,53649,808961,-1,-1,-1,558576,286449,96613,416124,165620,863639,-1,-1,51439,-1,-1,-1,296920,595610,-1,-1,-1,527990,761297,186012,719785,8115,330125,-1,-1,-1,-1,758887,-1,921861,-1,783498,-1,47125,-1,-1,129477,390635,-1,-1,224992,-1,-1,-1,309601,442386,-1,-1,883967,-1,-1,-1,-1,-1,237397,96189,-1,867347,-1,926650,-1,870966,-1,-1,89095,782091,-1,-1,-1,-1,856111,-1,-1,504162,539000,-1,-1,-1,228838,-1,170780,-1,603206,-1,-1,-1,-1,-1,-1,655300,-1,752132,-1,197882,-1,974555,961835,-1,-1,-1,-1,390623,104289,-1,513551,639537,-1,866597,-1,-1,-1,310835,-1,-1,93265,874858,-1,669441,692124,45522,-1,-1,485642,467830,32115,-1,266351,420279,194121,199824,300514,-1,593041,627486,577071,386862,-1,275578,-1,397209,731386,250768,-1,703939,704204,-1,-1,-1,-1,-1,618716,-1,817374,264749,50488,705569,852675,-1,-1,-1,-1,-1,-1,-1,959826,786010,-1,-1,-1,33348,729129,-1,-1,335979,243544,-1,-1,-1,-1,404096,-1,416524,-1,223406,-1,615668,-1,-1,-1,165016,110374,-1,-1,-1,232397,-1,78974,254479,-1,541754,-1,690233,-1,-1,-1,-1,863662,-1,-1,202278,835829,-1,198472,-1,636937,84245,735170,290917,600426,857523,-1,167555,-1,-1,243617,-1,-1,494343,6506,-1,-1,-1,-1,-1,-1,-1,819964,-1,351828,593572,-1,885760,-1,-1,169908,-1,112531,-1,-1,-1,21148,-1,-1,280905,958906,936420,-1,-1,753438,31106,136897,770112,-1,456870,-1,-1,-1,-1,-1,-1,-1,141232,-1,850449,-1,-1,-1,392016,-1,-1,484232,947451,866220,-1,-1,-1,757674,657614,-1,936166,-1,-1,50494,-1,515523,-1,584063,-1,-1,646726,52434,618885,871538,420341,747034,-1,539292,-1,685306,-1,70414,447628,-1,-1,857668,-1,829081,468612,837735,-1,-1,-1,141932,540138,-1,-1,922518,-1,-1,970887,-1,-1,-1,882671,186024,431916,49451,-1,513438,-1,-1,578987,480337,638084,-1,-1,839936,354349,-1,126300,650730,654183,-1,-1,463319,974212,-1,650079,775701,982957,224182,-1,709746,481315,-1,-1,-1,-1,102402,-1,996496,695837,349206,62421,343478,358224,972247,-1,-1,956381,738927,-1,-1,101375,-1,532242,-1,-1,-1,-1,-1,724457,947233,-1,76535,578064,-1,24196,65302,-1,73727,208076,79815,546093,-1,-1,489061,499719,545717,-1,-1,295402,-1,742236,-1,362086,-1,727120,567394,220639,272315,-1,485150,953435,-1,-1,773964,132182,-1,862782,345825,706511,437053,-1,-1,333741,45265,-1,-1,-1,356401,697962,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,224244,-1,443942,-1,-1,-1,63809,-1,748274,-1,4677,262485,517443,-1,88043,-1,673194,-1,-1,-1,296429,-1,-1,993428,294693,410922,-1,-1,346936,302130,-1,-1,290865,-1,599843,-1,-1,479411,-1,53977,-1,966210,311398,386185,-1,-1,164613,-1,-1,-1,-1,324393,511907,-1,-1,111889,201273,776407,-1,58000,763113,-1,540665,609919,-1,298052,-1,29640,70122,-1,378780,-1,-1,731358,-1,282454,-1,433544,535169,462340,-1,660660,296857,373977,-1,-1,-1,755708,608437,-1,-1,601394,-1,378147,569490,-1,687935,826320,913180,-1,721066,-1,368268,-1,-1,-1,-1,21571,-1,646132,906016,575118,-1,-1,24519,-1,-1,367012,706457,149303,-1,806647,461182,303826,-1,-1,874427,-1,68003,-1,-1,-1,888716,968390,133969,938903,-1,-1,715760,958785,853714,-1,614005,-1,-1,-1,-1,469901,248989,-1,-1,-1,-1,661521,-1,-1,300835,-1,-1,848594,800009,-1,-1,404643,-1,-1,-1,494988,208556,338049,948433,162616,361539,-1,-1,-1,-1,-1,-1,150760,448708,-1,811660,-1,-1,146240,97589,980562,390833,969504,-1,-1,-1,402994,136413,940417,167460,-1,-1,15150,204538,-1,-1,613490,583710,-1,673620,133892,296759,368,505512,-1,339470,-1,-1,-1,930332,501425,-1,609932,-1,-1,-1,-1,365528,-1,586909,-1,461115,502864,-1,-1,976219,-1,-1,403198,371629,-1,-1,960950,-1,-1,127624,885149,108327,530886,-1,-1,-1,271913,-1,-1,676795,145657,-1,-1,723070,17916,-1,558492,420346,-1,-1,-1,19838,-1,687566,852777,343169,-1,342740,692383,621150,-1,-1,701118,-1,146182,-1,-1,483843,50911,-1,-1,-1,773147,-1,825074,959388,-1,-1,-1,768164,-1,246536,-1,-1,524501,-1,-1,-1,735403,-1,780066,-1,254020,937608,281062,241645,-1,-1,-1,170167,932559,-1,-1,-1,-1,-1,885075,-1,-1,830919,333495,289345,-1,-1,-1,521469,-1,-1,460775,-1,485786,-1,9258,-1,-1,-1,-1,-1,-1,652422,-1,-1,-1,-1,-1,901001,107962,817835,521404,-1,-1,-1,784208,683183,509622,-1,-1,319546,167933,-1,309026,-1,-1,-1,-1,-1,947012,-1,-1,-1,-1,861846,743673,-1,268806,-1,-1,-1,-1,-1,923328,683518,53459,-1,-1,-1,-1,129914,-1,457096,906184,-1,895495,-1,-1,428530,465235,426698,322230,-1,65305,968489,753877,484922,-1,-1,250380,672735,-1,-1,-1,620507,-1,-1,326246,360786,-1,866574,-1,746699,-1,149402,521851,-1,-1,986464,698937,-1,289892,563527,-1,804576,-1,551467,-1,781207,-1,434829,-1,-1,102219,-1,-1,-1,-1,-1,31417,941611,583917,887527,-1,-1,-1,-1,642920,-1,-1,-1,-1,-1,-1,768765,-1,-1,-1,250653,835514,-1,-1,762748,-1,672886,-1,600241,629090,-1,660200,-1,-1,484926,546255,-1,535425,-1,38923,-1,-1,183173,581790,-1,-1,700512,-1,-1,129254,591309,-1,-1,-1,-1,-1,461989,-1,640508,137372,687836,-1,913648,-1,-1,-1,850883,-1,309012,-1,694125,-1,-1,508864,-1,466928,-1,157242,-1,767687,266788,-1,-1,-1,-1,-1,-1,-1,804320,-1,-1,537495,-1,-1,223764,567764,-1,-1,-1,40285,423365,-1,-1,257501,67290,-1,227565,-1,-1,381016,-1,980358,-1,-1,105586,-1,413851,826620,543306,194564,-1,-1,-1,-1,-1,544455,484914,235160,-1,-1,-1,-1,789098,-1,-1,484695,-1,183386,383522,-1,-1,-1,321718,444182,-1,-1,986645,466362,526276,-1,-1,260730,86515,-1,-1,799761,253037,897079,76870,-1,594381,652511,92964,-1,654421,701507,-1,89332,700658,-1,525890,-1,775857,-1,-1,-1,804200,978259,-1,513070,-1,-1,113782,266015,-1,552124,-1,302908,255930,-1,-1,-1,-1,-1,-1,-1,-1,615692,-1,150719,-1,-1,-1,-1,-1,846679,886532,84032,-1,-1,-1,23932,643109,595803,-1,-1,-1,-1,12066,367917,129655,267738,391271,349446,-1,-1,-1,581283,614692,330248,518792,-1,-1,-1,610659,810744,-1,332167,603718,-1,711799,757600,171089,-1,720251,-1,553105,-1,845741,905340,-1,-1,899579,944306,538767,-1,277085,400320,500826,66738,-1,-1,824638,299615,712133,122983,-1,-1,-1,-1,-1,-1,964314,914469,-1,-1,-1,763367,-1,804669,550123,91787,-1,-1,860971,404549,758737,-1,-1,-1,-1,722132,-1,800596,-1,382021,-1,-1,-1,448706,-1,-1,-1,474614,-1,127347,348216,-1,-1,530426,179610,295380,732275,-1,-1,-1,307384,-1,-1,56583,577474,970446,671798,229797,-1,-1,-1,-1,-1,-1,755654,844209,-1,360796,207187,908095,350342,-1,374742,231647,-1,844288,-1,-1,486762,-1,-1,-1,-1,304577,-1,-1,408263,-1,-1,390763,-1,335139,445442,-1,-1,408753,-1,650587,-1,881021,583648,807762,-1,879583,-1,436128,980288,921822,68086,-1,359191,75827,-1,-1,-1,-1,-1,-1,866724,516587,312204,463491,416150,-1,472125,-1,-1,-1,370233,68057,811312,327435,987347,215220,583024,827138,621538,396183,590046,500657,666300,854860,-1,212254,855139,-1,160938,316379,-1,-1,464568,52746,-1,-1,-1,679196,-1,921617,-1,-1,-1,312687,-1,-1,28411,108582,-1,-1,-1,756297,-1,-1,-1,564270,-1,304770,-1,575446,758523,-1,-1,-1,940511,928482,205544,175212,-1,307155,-1,20154,582372,-1,463730,731004,-1,-1,874127,596114,52388,-1,251288,36578,315419,722777,982408,-1,662580,196837,322058,-1,820908,237355,288682,912926,480516,437697,317168,670463,-1,-1,-1,-1,-1,-1,-1,-1,70102,755358,327068,-1,417912,-1,892725,-1,665017,969643,901434,-1,-1,487284,286631,-1,999492,-1,-1,-1,-1,42150,-1,404977,278515,583358,575268,-1,-1,322767,-1,-1,282339,675726,980931,-1,-1,-1,557604,159106,-1,856579,-1,835164,226200,654242,-1,658175,-1,-1,352686,-1,625236,-1,-1,-1,189569,-1,-1,75422,858999,-1,-1,-1,268057,252796,-1,-1,133828,946292,855336,-1,-1,-1,-1,-1,448958,-1,-1,4116,28174,-1,928925,77189,-1,556026,-1,-1,376949,380632,432582,77084,-1,-1,-1,-1,-1,174053,607048,382858,-1,152420,-1,-1,-1,244301,-1,-1,-1,-1,644225,-1,788084,655265,-1,708470,419100,-1,-1,220432,309233,250372,226013,347564,437574,-1,-1,-1,619481,-1,-1,530538,258472,993623,922415,-1,671202,-1,-1,294078,250879,891432,238421,622709,-1,270264,930096,-1,-1,453288,-1,-1,516867,-1,570524,-1,941814,-1,556189,-1,-1,-1,-1,-1,-1,-1,992707,502973,858932,799382,978221,966159,-1,884167,-1,-1,284035,767149,-1,-1,-1,-1,212119,-1,851742,602471,888690,-1,747082,-1,-1,121136,-1,302803,984679,-1,-1,-1,-1,885709,303330,842625,-1,-1,-1,395359,-1,-1,-1,-1,-1,-1,672271,-1,45820,-1,-1,-1,262570,-1,611044,479931,-1,-1,441302,-1,-1,-1,-1,-1,-1,415617,-1,758488,-1,-1,868757,943878,374241,543898,817712,720964,797809,714869,559126,822848,637615,-1,263637,-1,-1,-1,-1,50309,-1,428619,358475,223607,-1,782341,-1,656277,-1,-1,314347,714574,-1,10654,-1,-1,-1,-1,-1,-1,209236,-1,-1,-1,662047,230885,560169,-1,-1,256523,-1,89538,-1,-1,152715,339858,-1,613327,397294,-1,-1,-1,-1,-1,-1,824636,-1,681432,907483,-1,850540,-1,119550,224090,-1,-1,-1,-1,-1,-1,-1,-1,227599,966825,-1,858049,-1,-1,-1,430094,-1,303470,-1,-1,774049,-1,184730,816962,869584,-1,-1,-1,994928,-1,-1,-1,-1,890621,-1,678149,-1,-1,3983,-1,-1,-1,277712,-1,73664,566970,278097,-1,249752,663668,101916,119169,659820,-1,387301,-1,971639,-1,300144,959792,873218,254824,703750,-1,536942,-1,502943,876809,704764,477873,-1,-1,-1,-1,-1,186231,-1,-1,634356,273423,-1,-1,-1,848440,-1,-1,-1,141225,-1,-1,676450,453992,996946,335295,946602,976075,-1,-1,363764,-1,-1,-1,-1,-1,896658,853770,-1,121306,-1,-1,347930,-1,740793,635041,363061,-1,112910,123879,577473,-1,704702,404284,-1,-1,277397,639814,754319,-1,-1,-1,410362,-1,-1,685458,-1,-1,-1,-1,-1,-1,319095,689405,-1,-1,-1,971649,-1,316073,-1,477761,990217,937362,-1,-1,550102,-1,-1,127620,-1,-1,204164,468048,-1,-1,590074,89806,-1,-1,541469,-1,838301,704550,763074,-1,-1,918455,824945,-1,22460,-1,-1,142223,-1,-1,925905,474269,868504,239309,867735,-1,-1,961847,-1,-1,827583,494088,558597,305151,-1,-1,400673,892010,708278,-1,-1,-1,318698,778110,-1,-1,451273,-1,167842,-1,256022,-1,645608,-1,-1,780808,-1,155976,518059,-1,-1,980643,-1,-1,584829,-1,375746,-1,221008,527631,-1,847830,395193,403457,-1,182278,-1,-1,583460,400096,-1,-1,-1,129745,889278,403381,-1,-1,799281,-1,172678,-1,-1,-1,598127,891600,-1,-1,-1,602941,-1,677824,-1,519389,-1,205880,357844,-1,195242,-1,616164,-1,-1,824474,722520,277345,-1,-1,159638,-1,989237,311784,958431,126303,738193,-1,662522,-1,-1,-1,-1,-1,-1,499838,-1,-1,-1,906886,-1,327243,-1,-1,683354,-1,-1,-1,-1,125195,717018,962372,609307,334913,900160,-1,-1,275218,-1,270515,-1,-1,-1,-1,-1,171153,279121,453386,928891,288371,35051,646368,776967,2093,-1,-1,-1,723307,-1,-1,-1,624604,-1,-1,-1,-1,-1,-1,-1,-1,558761,690088,853358,-1,572079,641320,81914,-1,-1,-1,-1,50123,-1,-1,-1,-1,644848,58438,626835,-1,-1,-1,852639,983737,-1,-1,-1,-1,-1,-1,-1,-1,689576,-1,207982,272134,-1,-1,610640,-1,860429,-1,-1,859543,-1,20539,218181,204028,-1,556685,-1,-1,174413,-1,-1,-1,337381,912425,635289,-1,-1,216761,441589,-1,-1,-1,-1,970527,293730,-1,343747,900794,-1,532498,867651,-1,-1,-1,44646,-1,481671,660572,-1,722293,-1,-1,-1,376980,604163,-1,990075,-1,-1,980351,-1,-1,-1,-1,85553,-1,139790,-1,-1,-1,807828,-1,-1,-1,-1,-1,572989,-1,413004,-1,399457,438265,-1,-1,802562,14669,750931,-1,-1,-1,-1,-1,19265,-1,-1,507642,-1,992964,-1,900842,-1,320410,10328,878023,819029,864412,285063,844013,654741,-1,706867,-1,224591,311857,51662,133897,-1,-1,267913,-1,317821,158736,865520,980447,-1,-1,830177,323878,635591,-1,-1,-1,138992,-1,202520,-1,-1,-1,-1,-1,-1,82768,418747,-1,249436,-1,-1,-1,-1,-1,-1,-1,147560,-1,494280,819814,-1,905572,324768,101275,-1,-1,47082,638334,791063,-1,-1,-1,572039,-1,-1,-1,-1,-1,124191,20693,771970,-1,-1,-1,497836,-1,474020,305178,272872,-1,477518,-1,-1,567701,-1,-1,-1,-1,-1,-1,449411,622498,165802,988517,-1,455245,478663,-1,-1,-1,651453,-1,977364,222008,987514,283025,402594,-1,-1,-1,-1,545247,-1,-1,-1,-1,12301,-1,250764,-1,386608,-1,-1,523502,-1,169088,445962,-1,372901,-1,91159,203986,-1,-1,-1,-1,-1,838211,352492,404215,-1,-1,-1,-1,-1,-1,644448,25615,-1,617638,603736,-1,178298,402869,-1,292650,779705,678338,-1,715309,293384,903465,331005,824772,656805,-1,-1,-1,-1,-1,50104,103385,119885,174722,546444,653257,-1,-1,658398,195353,50665,871927,-1,373829,-1,314932,475926,-1,-1,-1,694899,547260,-1,-1,-1,-1,-1,-1,758977,-1,-1,-1,-1,-1,95028,-1,458387,931100,-1,125835,270062,-1,-1,679082,-1,-1,-1,-1,783039,-1,25969,-1,-1,220978,-1,-1,-1,884392,-1,-1,438683,-1,-1,-1,-1,949080,-1,860514,91265,29363,-1,189300,323489,841146,-1,-1,128406,82397,-1,822290,-1,995591,-1,-1,729977,-1,-1,-1,-1,-1,762977,159409,-1,636448,963446,-1,673953,691878,-1,-1,-1,-1,121625,-1,-1,-1,-1,25264,-1,875131,662444,-1,-1,-1,-1,324398,-1,345490,287001,-1,-1,-1,826091,-1,56141,625638,-1,-1,651417,906863,150247,-1,-1,359235,-1,-1,54303,-1,-1,-1,496664,734743,-1,-1,-1,-1,277048,-1,-1,546591,140267,-1,535368,-1,-1,546256,-1,411510,885792,-1,-1,483579,-1,903701,-1,-1,641475,649464,-1,470127,-1,-1,873411,855248,-1,370263,-1,342309,500815,-1,320413,495515,248421,-1,-1,-1,881262,-1,785003,1453,314184,453568,4215,-1,-1,-1,201638,-1,645012,-1,-1,389586,-1,-1,916510,-1,-1,984993,351105,320300,639645,-1,56641,546332,849986,-1,-1,891075,-1,-1,-1,549897,-1,-1,359911,-1,-1,-1,-1,-1,-1,653362,-1,277405,469495,-1,38764,882064,365289,-1,240292,900047,-1,-1,277425,-1,403720,535944,613755,181196,874161,559479,775593,-1,147618,327402,-1,-1,-1,871654,-1,336758,920418,528573,625266,604327,994584,-1,447977,76635,890550,-1,-1,492888,-1,-1,-1,-1,-1,3512,-1,669437,400232,-1,-1,-1,528479,962837,-1,851846,-1,-1,-1,-1,-1,-1,-1,-1,111058,-1,-1,235432,-1,-1,-1,936439,329423,-1,-1,160367,33070,684597,199776,-1,-1,-1,144932,-1,727459,308700,-1,-1,182644,676960,-1,327430,-1,371857,-1,-1,820452,814628,-1,-1,-1,93717,161274,765690,175304,-1,-1,566137,-1,-1,-1,868316,-1,-1,79000,-1,-1,773331,-1,-1,507746,829903,-1,-1,-1,-1,-1,35716,-1,599867,368868,795306,-1,397014,-1,6184,878732,-1,-1,-1,-1,-1,22689,16923,-1,-1,339465,881461,-1,-1,423038,-1,259343,825084,324637,405850,457069,-1,752798,-1,352567,-1,-1,464862,307602,-1,-1,-1,-1,713705,-1,624198,242274,797796,-1,672893,498717,831085,303055,-1,-1,-1,-1,-1,-1,-1,431187,974849,-1,-1,-1,364361,-1,-1,47062,212750,-1,-1,-1,757565,202217,-1,2244,-1,-1,14280,-1,620234,-1,323167,-1,517750,404304,-1,725274,305327,62506,929200,-1,30086,-1,-1,277176,290777,868999,82374,32937,591681,-1,-1,399322,198299,356615,36926,-1,653875,196257,-1,615014,-1,489355,-1,968145,-1,-1,-1,79287,78540,554155,-1,895899,223016,670515,530270,-1,730537,628872,519081,-1,-1,-1,947429,164372,990077,614031,590297,-1,-1,-1,-1,110994,-1,835345,-1,115835,-1,-1,-1,-1,-1,-1,-1,302790,-1,727333,555183,30721,-1,-1,-1,487463,-1,-1,-1,-1,-1,978001,-1,-1,389331,89707,327272,532045,-1,637841,648016,921160,-1,-1,748541,-1,566460,-1,366968,554197,-1,408948,900952,-1,-1,680891,479243,-1,-1,895170,753391,338879,650950,86045,-1,218530,-1,-1,-1,-1,833726,-1,-1,-1,-1,-1,-1,-1,-1,910783,247657,535814,-1,564573,-1,-1,834199,-1,666806,-1,285469,764536,-1,266423,-1,-1,-1,-1,845396,-1,401701,-1,-1,-1,-1,314363,-1,791929,-1,-1,-1,179529,166535,-1,-1,97133,-1,-1,-1,-1,-1,375555,-1,-1,-1,-1,-1,105693,-1,38416,-1,-1,-1,-1,-1,-1,803429,243551,-1,758297,47019,-1,-1,714346,982821,-1,-1,250051,-1,-1,719723,-1,-1,-1,769965,922448,-1,-1,-1,-1,-1,624437,-1,506331,227469,-1,-1,65702,405514,224960,311535,-1,-1,990743,600911,-1,594686,-1,-1,486420,922680,-1,-1,-1,470666,-1,-1,457744,286842,-1,-1,416431,-1,21832,-1,643652,162705,657970,-1,-1,784956,92158,653676,15521,228929,766877,794596,-1,-1,200246,174472,862564,-1,-1,-1,8428,777142,172220,200851,983588,-1,-1,-1,69139,-1,119834,-1,957262,-1,-1,376205,-1,828293,789415,-1,-1,-1,2369,-1,843435,-1,-1,-1,413920,-1,261600,-1,765739,708111,-1,-1,-1,444418,-1,-1,-1,-1,-1,-1,358530,983957,-1,-1,-1,-1,961765,-1,139561,352917,404018,-1,-1,535777,-1,30133,275829,359993,865462,-1,-1,401789,-1,-1,168119,910258,332939,201097,-1,223522,-1,845167,934516,-1,372829,794816,-1,433009,942906,-1,426635,-1,162227,-1,-1,584828,807016,-1,-1,952984,-1,593822,-1,805626,822736,-1,-1,946910,71425,643257,-1,-1,333471,133419,-1,-1,514878,139672,634515,210332,-1,-1,-1,-1,-1,-1,-1,99992,509220,-1,-1,-1,942998,-1,-1,632351,-1,-1,280460,7363,374536,580122,135561,-1,283205,-1,932641,319879,5393,632303,-1,879533,-1,-1,549810,-1,691699,-1,-1,-1,-1,-1,-1,-1,526596,-1,618896,-1,-1,-1,-1,-1,142095,-1,-1,-1,753004,-1,993230,-1,-1,-1,-1,204832,-1,207081,834159,-1,-1,-1,781781,-1,441245,775715,-1,-1,-1,-1,311646,-1,342380,-1,-1,-1,-1,-1,800729,878101,842250,25313,823716,539099,137135,72104,231417,-1,753970,-1,-1,-1,232707,278278,-1,759386,465126,-1,977541,-1,308665,245077,-1,-1,738823,849402,298230,879878,575223,608798,-1,382099,-1,13419,-1,810379,-1,605956,745073,-1,-1,-1,749031,-1,-1,341832,622176,-1,750661,777473,340007,648274,-1,-1,131268,628881,859366,71707,987936,21465,-1,996266,-1,-1,-1,293440,-1,618777,564010,625326,-1,339252,-1,-1,-1,-1,424928,-1,-1,243342,360079,-1,-1,686438,970874,-1,-1,485917,-1,-1,861593,213153,-1,-1,-1,-1,-1,-1,-1,900038,-1,-1,-1,-1,842272,925860,-1,-1,-1,659402,84041,320938,495672,-1,122511,56660,-1,240719,-1,824226,514284,35855,-1,-1,-1,864003,568028,-1,845190,-1,-1,-1,716333,-1,-1,389043,-1,-1,369643,-1,-1,873873,-1,-1,78851,510587,-1,633162,708050,-1,399562,925923,281799,143241,999690,384341,-1,68826,249968,61316,564393,792211,-1,-1,43810,-1,-1,-1,-1,-1,-1,996063,-1,31883,-1,-1,-1,861125,963106,846039,-1,-1,-1,709430,864641,-1,63603,545184,-1,-1,-1,360442,-1,-1,-1,-1,-1,-1,-1,-1,416333,80529,-1,-1,-1,268196,-1,292731,15942,126566,292276,-1,-1,393415,-1,975568,713919,-1,-1,-1,-1,585667,293867,-1,438516,306141,85153,832000,957580,595338,416128,-1,381803,-1,923063,119847,-1,659160,-1,812569,-1,195006,261188,-1,-1,-1,16577,584360,-1,382211,-1,791908,244200,656605,791024,293692,-1,130296,-1,927488,774701,497401,889544,151529,-1,194101,-1,-1,-1,18868,-1,956688,520290,19084,-1,-1,310038,-1,615420,252705,295720,730562,691165,759976,41333,504385,-1,182238,165866,12296,883229,-1,738730,22958,263215,-1,341948,-1,275565,323696,365537,439560,-1,-1,646798,313835,-1,498537,-1,-1,272383,-1,-1,-1,-1,-1,686482,-1,585217,438378,92904,919827,-1,-1,-1,-1,648451,884702,629870,95937,-1,-1,936806,-1,525862,184637,947548,734325,-1,720601,-1,-1,-1,436252,-1,524849,913493,583534,580170,-1,-1,448412,660496,5226,-1,161314,-1,796314,478793,463763,336168,638304,324353,803124,47682,996894,542381,67681,-1,435825,-1,-1,268757,-1,-1,-1,61961,-1,-1,-1,-1,-1,-1,911938,692308,943822,766256,-1,450945,632503,940504,-1,-1,659561,-1,369198,-1,436539,-1,-1,50106,-1,499969,-1,-1,710279,-1,187961,-1,-1,405951,331275,-1,-1,594352,996072,577417,-1,143332,-1,163742,458083,432729,-1,494037,883383,111515,665075,13400,323789,-1,69184,-1,-1,697799,-1,708935,814135,253375,170801,-1,-1,716604,362077,696139,344090,686491,-1,-1,289930,-1,-1,-1,-1,963432,-1,-1,-1,359451,655719,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,295815,865864,-1,906788,429541,-1,244886,753933,366219,241278,-1,-1,122459,-1,-1,495873,-1,-1,974858,693581,-1,-1,-1,-1,885782,-1,-1,-1,-1,109472,-1,478088,296630,-1,40755,-1,-1,148296,770650,-1,-1,348618,55962,735229,-1,610410,-1,358020,75184,502422,-1,-1,624329,-1,-1,973223,830567,809623,-1,125234,-1,-1,498258,-1,-1,-1,-1,-1,791291,615907,-1,-1,401669,801949,-1,338050,-1,10227,-1,879613,187273,662061,-1,-1,-1,-1,-1,-1,-1,362442,212532,-1,546487,-1,860956,496118,578168,-1,-1,160996,-1,759230,-1,-1,-1,965602,683465,-1,84385,-1,941642,-1,-1,48204,940346,993583,217219,242796,-1,-1,155540,-1,361970,-1,693624,-1,293562,-1,-1,659121,-1,829551,-1,136953,690438,874537,737070,-1,132380,-1,564912,791248,-1,-1,-1,-1,290755,-1,448496,-1,560291,-1,540552,411589,-1,133640,-1,-1,-1,-1,-1,-1,-1,157118,-1,562080,445308,991844,-1,-1,-1,427439,-1,210719,109800,-1,792155,-1,-1,-1,-1,967290,598657,985104,354403,305619,876452,-1,639610,-1,-1,624770,-1,-1,554100,564852,-1,-1,130655,910436,168686,-1,-1,-1,-1,-1,-1,206318,203513,107497,-1,750926,692823,-1,328104,698117,-1,-1,-1,-1,-1,675642,-1,529547,-1,-1,889502,-1,-1,888220,371454,-1,-1,-1,466599,88606,-1,38307,-1,283665,848609,394420,-1,-1,-1,898799,-1,-1,-1,285913,58606,-1,-1,-1,941445,-1,562435,746841,-1,-1,647798,652246,595921,-1,-1,-1,436762,-1,913828,-1,-1,711564,287260,261383,688390,572379,-1,503524,229357,216551,-1,-1,-1,-1,899678,620574,615789,-1,816175,120736,26723,178291,876852,247117,-1,215655,-1,-1,-1,-1,840501,-1,311026,374323,-1,977055,-1,241165,-1,254090,-1,292288,-1,-1,284228,853891,-1,810709,637183,52707,-1,815726,-1,-1,733673,-1,656521,281126,-1,160956,-1,978628,-1,663644,-1,-1,584293,-1,532363,601691,-1,401178,141470,743837,319312,-1,511855,465517,721652,628057,438689,-1,-1,-1,-1,-1,-1,-1,-1,796818,-1,750899,185975,-1,-1,812344,-1,-1,-1,66010,846542,-1,-1,-1,-1,-1,964576,-1,-1,601025,856662,603199,-1,990726,-1,794140,635128,-1,149204,-1,-1,253068,-1,191919,-1,135077,695320,747972,24535,-1,458160,-1,-1,-1,446123,670559,-1,-1,177223,287768,89054,-1,-1,-1,-1,-1,-1,-1,391597,-1,137379,-1,284238,-1,-1,245415,-1,-1,481670,-1,410244,674895,50975,-1,439921,-1,-1,13634,-1,-1,-1,198722,-1,922090,476385,262663,-1,-1,-1,172929,178507,270270,679350,-1,736886,-1,-1,628653,193388,-1,-1,721764,259155,-1,337877,-1,393756,172616,-1,189863,-1,381575,-1,-1,579775,609842,456221,730023,-1,-1,485134,-1,-1,-1,-1,-1,650957,-1,-1,561842,-1,-1,-1,472396,381162,963158,-1,983358,922847,992295,166266,-1,-1,-1,815798,738026,-1,447393,-1,600288,953321,-1,9599,-1,-1,-1,-1,945584,398291,529538,-1,-1,660847,530344,-1,495419,-1,812546,760399,434236,-1,-1,-1,-1,-1,606777,-1,125145,531394,355954,82458,-1,338426,100706,-1,958884,145725,826434,-1,291128,-1,614697,-1,-1,-1,-1,882405,-1,-1,-1,-1,74110,-1,-1,493577,-1,427348,611879,604205,440537,-1,383825,845781,-1,-1,411333,350939,-1,-1,30929,-1,-1,-1,-1,410948,-1,538174,840135,6748,-1,133428,-1,72281,-1,-1,249676,319225,-1,739238,805974,294369,-1,-1,-1,-1,309154,811806,-1,278734,441529,275461,-1,375459,904154,-1,-1,-1,475769,684463,944985,-1,735616,-1,-1,-1,81244,88014,-1,-1,424044,779408,-1,-1,-1,573651,-1,-1,-1,-1,-1,45435,-1,-1,742292,582869,417722,916187,245512,344487,726400,-1,-1,286567,-1,276072,730735,837951,263610,-1,124761,33896,667814,-1,225482,98677,216044,-1,-1,-1,855775,-1,380171,-1,-1,64897,961065,143423,-1,460431,-1,582942,-1,490391,-1,463247,548453,51883,219574,137405,-1,-1,728828,-1,451997,918141,371517,323173,-1,-1,766333,-1,576662,789564,-1,-1,-1,-1,739382,-1,-1,957936,3304,-1,-1,568334,-1,423056,312790,-1,238065,446947,-1,-1,-1,878244,-1,688116,-1,-1,-1,166473,-1,-1,-1,-1,712385,-1,270502,499300,564062,-1,506816,206103,-1,-1,141804,-1,611540,953222,-1,944432,-1,-1,519807,541752,61141,-1,427569,-1,688585,-1,439627,840538,739492,654029,505919,-1,378308,-1,-1,509907,-1,173240,-1,-1,-1,-1,-1,-1,296734,-1,795530,150832,474445,722326,-1,386714,592972,-1,797991,-1,566375,186034,668014,-1,-1,852040,-1,98698,-1,540045,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,147110,1350,775425,-1,916516,-1,230145,422992,87326,664697,410564,-1,649161,-1,82663,940385,156355,-1,369331,-1,-1,-1,643884,-1,-1,-1,383452,890912,-1,986167,746016,-1,-1,691018,434690,-1,571595,-1,345943,-1,-1,-1,735930,-1,442461,843202,995289,-1,-1,-1,482142,776449,476467,-1,-1,591834,730310,-1,266637,60899,941185,-1,498347,-1,340949,987664,135114,803614,837183,-1,23266,918009,-1,-1,-1,-1,-1,-1,452162,957740,65618,435510,-1,-1,-1,-1,730354,479575,28125,898252,-1,-1,518744,-1,449562,991698,-1,772810,93452,71773,604660,-1,292913,403437,-1,145200,-1,309439,-1,641882,914508,650255,498586,-1,426549,247133,569100,397346,-1,226706,-1,-1,-1,-1,-1,113787,-1,397946,730870,869810,547386,328872,-1,-1,-1,199141,-1,729124,922567,-1,-1,218977,91224,922498,-1,148951,241518,853742,-1,-1,-1,-1,969082,773150,610263,-1,-1,917637,439027,-1,-1,576300,-1,-1,-1,247846,-1,-1,-1,-1,-1,208461,498310,903445,410752,-1,589435,375652,778640,-1,-1,773849,-1,448491,202685,-1,95353,-1,816209,-1,-1,649872,791468,-1,-1,-1,55920,-1,-1,765478,552188,586451,-1,841298,737378,768073,-1,741298,-1,-1,426548,-1,720207,-1,376988,111012,-1,-1,-1,477533,-1,-1,32292,-1,81560,-1,276704,-1,-1,-1,350658,333408,274408,-1,832456,-1,-1,521302,-1,242835,823328,852532,690487,-1,-1,425353,-1,189049,-1,-1,-1,-1,808526,43413,440107,278074,-1,-1,-1,435780,-1,576936,-1,119498,207434,766755,-1,-1,793449,-1,757006,371598,-1,-1,754090,-1,723036,198040,-1,825243,-1,-1,988077,-1,484320,662989,-1,917992,304967,-1,300978,430213,912276,725557,-1,-1,512054,992143,26823,-1,159597,-1,369848,-1,291013,212582,-1,427109,20756,-1,-1,793076,834620,-1,-1,-1,-1,-1,-1,714907,59880,-1,-1,-1,-1,-1,4161,-1,-1,644534,537992,62146,-1,997629,-1,-1,-1,567602,-1,789248,-1,-1,-1,643840,-1,-1,359916,-1,-1,-1,-1,328985,349759,-1,-1,398845,617736,-1,716036,-1,479448,-1,86148,498784,-1,-1,-1,179576,968606,-1,102864,-1,-1,-1,-1,-1,-1,270418,-1,-1,-1,157782,-1,-1,86176,369269,582165,-1,-1,-1,640672,164533,-1,-1,-1,988336,-1,113493,-1,-1,-1,977944,550719,989769,-1,-1,352475,-1,-1,-1,-1,180117,312940,592230,524382,-1,313197,562355,821752,-1,-1,-1,-1,222650,902175,768830,-1,128586,283440,-1,-1,508361,350728,370299,-1,809648,366812,-1,506485,-1,66595,-1,-1,-1,-1,439774,-1,-1,-1,-1,-1,962116,-1,83180,-1,-1,631991,373604,-1,574361,40098,663137,-1,-1,568595,535675,-1,520192,595098,869850,438279,916043,938270,-1,-1,423636,-1,-1,440578,-1,490930,931822,-1,776019,-1,438673,-1,-1,739699,517370,10094,-1,273816,-1,532158,-1,-1,796596,-1,-1,-1,224394,-1,-1,147575,-1,-1,-1,-1,426866,-1,505516,575371,-1,-1,-1,746007,-1,778966,-1,-1,144994,-1,586367,887594,-1,-1,412253,864655,74089,309243,712230,207349,653633,-1,-1,-1,-1,191011,323802,721096,679626,-1,-1,-1,-1,-1,-1,-1,246797,803308,-1,-1,-1,-1,-1,-1,492557,511472,618963,-1,311793,-1,780647,696035,429677,-1,114619,913000,972017,-1,-1,306668,301306,-1,-1,131428,296207,-1,52952,478969,-1,803397,-1,913914,-1,-1,-1,-1,841973,626762,861213,403862,125883,747499,-1,433412,-1,-1,231675,193482,-1,-1,-1,124163,-1,612306,-1,-1,729804,-1,-1,-1,707338,-1,-1,707396,604941,-1,186845,-1,851257,244296,921533,343349,629428,-1,919377,485547,-1,-1,-1,900925,-1,528886,-1,20952,-1,361822,-1,-1,-1,134747,886236,101241,522477,-1,222360,192263,449464,-1,-1,-1,-1,-1,-1,-1,-1,383923,415480,-1,-1,-1,210605,-1,993196,998291,198005,473634,-1,-1,-1,-1,172279,144693,887649,268170,-1,400457,-1,-1,188954,704022,265672,-1,667740,-1,279315,-1,378047,106709,309786,49595,503512,-1,196533,-1,-1,901669,532630,-1,-1,890993,-1,223872,902189,-1,-1,521439,-1,-1,-1,-1,-1,486358,-1,-1,844628,-1,-1,-1,245954,993204,828387,-1,-1,556340,-1,465924,-1,-1,623709,-1,-1,-1,118992,374403,-1,180771,-1,967901,20777,40841,286372,316024,315031,23583,-1,-1,-1,-1,-1,-1,-1,796748,970980,489224,-1,-1,-1,700887,-1,-1,-1,801055,-1,-1,-1,719308,-1,-1,732951,799089,-1,-1,-1,-1,-1,688097,897909,479948,-1,23659,-1,-1,-1,-1,178080,324021,-1,828700,992712,-1,-1,920484,603052,72991,-1,715121,-1,-1,687678,72394,-1,-1,486388,-1,443974,-1,-1,5999,-1,-1,324433,-1,540349,-1,413100,393942,809838,112714,48582,-1,408565,718498,-1,-1,175475,-1,-1,-1,-1,692418,232433,-1,-1,-1,182744,-1,-1,-1,-1,142839,-1,636977,966867,933787,553551,10870,-1,903936,-1,-1,533981,-1,382692,641434,-1,-1,212484,852493,497264,76521,-1,894452,636061,503260,702393,406227,-1,-1,-1,-1,-1,-1,904226,835914,-1,204284,-1,-1,834824,812496,54555,-1,-1,145012,487683,323528,803819,-1,-1,-1,759837,-1,470827,81007,647866,646896,319547,-1,-1,-1,471986,-1,59175,-1,788362,93978,110740,-1,97281,283707,-1,360976,-1,51108,-1,-1,70066,-1,-1,-1,106645,877388,-1,115675,-1,195734,-1,788944,-1,753761,106844,-1,-1,551547,50180,-1,-1,-1,-1,841522,-1,-1,-1,-1,-1,-1,-1,537882,-1,804608,-1,696114,-1,-1,-1,-1,-1,-1,-1,831022,-1,-1,205792,707022,978841,-1,-1,483288,-1,-1,-1,-1,-1,-1,377500,-1,193887,961526,-1,563391,-1,514687,-1,791231,-1,654636,-1,793559,-1,-1,-1,-1,592824,74447,-1,358642,-1,847798,-1,903136,-1,95117,368215,607464,246544,-1,-1,873141,705161,-1,799880,330489,-1,505208,267031,885839,199319,674669,-1,796241,401061,117565,-1,581354,-1,38890,-1,713721,986405,-1,-1,-1,199399,792431,433482,-1,-1,-1,205438,-1,71722,832569,-1,695807,405788,586587,110228,-1,-1,-1,-1,921199,-1,-1,-1,616610,310440,-1,788439,-1,-1,719270,150389,-1,-1,-1,183533,38628,915162,-1,933915,-1,386822,328435,3272,-1,-1,268343,447404,310971,215690,-1,248576,467147,-1,168692,894509,99822,785315,-1,-1,-1,531841,249361,750600,-1,162122,393995,124534,-1,-1,-1,-1,531776,-1,-1,-1,244944,951813,78031,894192,641140,673917,-1,863312,-1,-1,354754,65445,-1,538034,764371,972313,314224,299908,663389,652895,722960,-1,733471,791657,-1,56890,850706,-1,-1,-1,304600,38949,900969,346777,-1,613248,942452,202926,869198,-1,-1,265573,937386,641491,-1,830986,501165,-1,-1,-1,-1,-1,-1,245715,462533,111170,658760,293053,167804,360602,-1,-1,-1,234541,-1,5649,922815,-1,979752,991163,-1,-1,756082,-1,968925,-1,-1,581633,-1,778394,-1,-1,767544,128520,393828,592881,413348,413752,-1,-1,-1,665196,183289,-1,783491,581307,541994,554972,-1,-1,-1,-1,462337,-1,-1,-1,-1,129043,102038,132037,-1,566016,848850,-1,-1,494688,459357,-1,613999,105208,936571,-1,797940,-1,637425,724649,349968,-1,827320,236610,-1,-1,245627,-1,369522,395708,-1,-1,-1,-1,418653,515427,-1,846555,219402,-1,-1,224586,-1,226605,-1,258416,-1,-1,534228,802191,257124,-1,333767,572651,259821,-1,-1,456686,967540,-1,-1,-1,-1,165190,361519,-1,-1,240753,631434,803291,-1,6880,-1,930016,227380,-1,503146,212898,695480,720423,-1,-1,360614,372082,-1,-1,659639,-1,166990,361700,553010,354379,-1,171551,85884,185401,894789,511406,-1,214698,-1,595719,463971,-1,126459,-1,383166,571592,-1,446891,-1,-1,-1,-1,-1,447763,-1,-1,-1,-1,-1,-1,-1,660816,-1,55963,-1,-1,825696,-1,527001,-1,-1,769528,44029,579482,101217,677021,-1,38039,152495,-1,-1,-1,440384,-1,-1,-1,255360,25469,604602,669235,-1,656608,745574,280429,457008,152551,-1,606329,-1,741250,452818,742867,-1,331678,-1,160566,23050,-1,596317,496748,-1,788687,223314,64796,-1,-1,-1,127744,-1,-1,506039,452277,-1,-1,286288,-1,-1,823158,-1,-1,593870,-1,556966,-1,352592,237479,-1,383722,-1,888973,-1,277383,-1,-1,271791,-1,-1,290686,-1,340182,-1,872176,192327,-1,-1,-1,575944,-1,-1,-1,364976,-1,-1,540688,-1,190249,625607,909948,647602,-1,-1,-1,-1,-1,-1,-1,-1,409547,-1,307700,235856,754134,-1,83589,-1,7556,387032,560575,-1,-1,-1,531011,177340,-1,784029,-1,782731,-1,528748,-1,494203,231676,-1,127488,253551,645376,694825,503233,-1,779264,-1,-1,-1,576705,-1,-1,972528,7047,-1,470452,-1,207496,-1,-1,980353,-1,-1,-1,166630,-1,-1,158313,-1,-1,406242,-1,-1,710475,-1,438742,-1,449960,77703,-1,-1,-1,774804,-1,-1,876847,641862,-1,25882,-1,79051,-1,-1,-1,739116,-1,-1,-1,-1,-1,706307,-1,-1,592973,839305,227529,184033,-1,-1,-1,-1,462274,-1,749515,566394,511231,70600,518760,341310,969977,930775,-1,905434,-1,309286,-1,-1,-1,84145,538055,-1,674282,411274,575419,-1,-1,578340,557154,-1,779883,-1,-1,-1,314021,-1,-1,187593,97169,-1,-1,874469,-1,600951,-1,943910,548882,-1,662757,835057,-1,421168,172166,-1,425473,245370,-1,723771,-1,-1,-1,-1,-1,472851,-1,-1,-1,845763,-1,-1,111870,772608,-1,132040,-1,-1,196149,-1,809439,-1,978537,-1,926370,82472,-1,284001,927822,192374,-1,393029,710546,727320,-1,882523,632469,-1,753544,796559,-1,829209,-1,-1,110629,815818,-1,-1,-1,-1,472170,-1,774509,312739,472473,-1,-1,253960,205058,34514,-1,-1,853931,-1,-1,-1,324713,672646,-1,-1,-1,-1,-1,325079,-1,-1,614388,-1,-1,781785,-1,-1,984739,90694,3021,-1,-1,482217,924120,-1,-1,-1,320063,889698,-1,188113,576165,-1,748707,583760,-1,501609,-1,843784,706502,385882,759475,94259,690738,-1,952805,-1,289801,665904,-1,-1,702056,-1,289040,221868,347210,273417,-1,596013,815437,505191,284492,156158,410962,-1,604424,508325,473387,21268,610213,-1,-1,-1,-1,321917,454233,245290,843727,-1,303452,341775,-1,249251,155445,-1,-1,-1,-1,-1,516565,896206,429704,196489,988542,-1,-1,-1,794894,756982,550775,-1,-1,290724,-1,-1,959404,-1,856765,157067,532397,-1,614946,271648,-1,486634,317521,-1,-1,-1,128332,-1,182864,-1,-1,-1,-1,416364,-1,-1,367141,507935,330159,205096,-1,782808,-1,974524,45574,928807,548851,104754,701845,832337,565386,656136,238898,-1,220666,-1,-1,-1,214897,-1,576589,747493,-1,573994,34130,-1,-1,-1,78144,-1,-1,205765,172882,-1,-1,-1,-1,342709,108535,-1,318665,-1,696841,176423,562059,802113,-1,780864,-1,-1,391670,-1,-1,386346,277818,868973,944669,279183,531511,446202,346799,321761,-1,-1,-1,-1,689017,-1,-1,-1,450360,-1,-1,351762,490873,-1,-1,562317,-1,-1,5089,-1,-1,-1,937621,908210,710080,-1,-1,-1,-1,362340,-1,418594,-1,-1,278476,562430,-1,-1,-1,-1,515149,-1,55240,662911,-1,-1,-1,393698,-1,765285,-1,-1,-1,-1,397119,-1,-1,20145,753482,212413,-1,784718,-1,942502,-1,-1,-1,543825,43416,-1,419540,-1,974084,717708,-1,421181,-1,-1,848604,-1,-1,-1,37516,651498,429267,743511,-1,-1,445780,-1,-1,-1,752650,-1,641296,-1,766669,-1,-1,-1,73627,541820,452480,861358,10774,-1,-1,271515,191325,82272,984383,-1,306601,467833,-1,-1,-1,386248,314640,749195,255751,-1,804952,-1,89581,579325,271712,-1,662920,737193,523422,531360,336717,864029,57392,942099,-1,795898,456683,-1,-1,955829,353920,781213,-1,-1,-1,-1,-1,535330,-1,-1,150198,-1,-1,-1,-1,229511,573500,108933,-1,736242,425465,477664,275911,987603,-1,520742,-1,-1,-1,57014,-1,-1,997652,62613,379928,36501,-1,919268,210244,-1,251064,809198,244852,555282,428915,68728,-1,-1,97490,817106,-1,-1,920935,-1,828868,-1,-1,697172,-1,-1,199426,-1,764531,-1,97148,311641,310857,753235,127662,491668,150088,-1,605898,748161,-1,967364,210910,379738,-1,-1,176172,-1,-1,960780,781809,-1,-1,-1,-1,-1,915102,-1,-1,-1,-1,288220,-1,-1,-1,79961,-1,-1,-1,-1,-1,396886,-1,174365,-1,784000,869533,-1,748511,-1,-1,-1,-1,712578,-1,857482,856076,769533,-1,-1,-1,-1,726975,-1,-1,-1,-1,24004,261302,372839,-1,89135,80590,-1,97268,226440,-1,-1,905798,-1,-1,-1,906920,127964,571473,392308,487547,271485,250347,456274,-1,503410,-1,-1,-1,-1,963532,-1,-1,-1,378078,332751,-1,-1,-1,-1,-1,471147,544440,592184,-1,-1,855239,766091,-1,-1,-1,365381,-1,-1,82869,-1,172322,-1,-1,-1,-1,-1,72260,-1,736188,-1,-1,362438,440046,120640,-1,962513,7677,-1,-1,2874,480232,528858,355197,540803,-1,-1,-1,449610,-1,-1,59098,-1,-1,972182,-1,383079,-1,274397,505717,-1,-1,-1,-1,384499,649964,321230,-1,-1,-1,657471,-1,-1,-1,-1,851366,-1,-1,-1,101595,-1,-1,-1,-1,322224,-1,-1,21249,78005,-1,444738,977181,502386,744543,175070,694819,-1,-1,185544,-1,-1,316019,-1,344868,611032,-1,-1,519687,688698,-1,887290,224371,-1,-1,622388,-1,920779,-1,-1,-1,-1,-1,-1,-1,661564,-1,802336,-1,75892,685731,144288,-1,498493,363249,721446,-1,459840,563883,382001,861121,701570,-1,-1,-1,-1,-1,-1,-1,-1,757511,684155,-1,798030,334,50557,-1,-1,-1,257759,70129,-1,-1,16816,313185,-1,46161,984456,-1,51164,930015,-1,441258,-1,-1,125950,477662,523461,761050,525005,192161,880947,-1,-1,381134,-1,-1,-1,520470,-1,-1,614129,757434,821248,849147,829347,87151,423339,-1,834766,-1,-1,-1,-1,-1,-1,-1,854957,189631,994077,467150,640744,764444,886237,-1,754791,-1,919032,-1,-1,-1,-1,-1,344013,-1,-1,-1,689122,-1,94170,331451,-1,412226,-1,-1,459368,-1,294114,-1,-1,583986,-1,-1,-1,397726,261621,-1,689238,-1,-1,611940,213833,613859,937651,-1,704696,-1,442460,175485,568672,649743,283867,373845,-1,-1,-1,-1,-1,-1,477292,871464,440222,348437,-1,-1,-1,-1,-1,-1,473782,-1,619951,260652,100592,556606,818203,-1,434892,-1,655242,-1,694823,288999,-1,275844,996084,310874,650345,-1,-1,125232,430256,783590,-1,-1,-1,250575,554288,485111,-1,-1,-1,-1,821472,-1,867607,-1,922452,261304,471153,-1,-1,-1,-1,926401,598901,987289,-1,-1,-1,-1,181003,506379,-1,-1,651647,-1,417297,-1,-1,888567,-1,-1,943302,989320,930213,-1,18591,864179,-1,-1,-1,882593,-1,767996,121236,-1,-1,726176,417904,25094,-1,-1,275903,440619,549473,-1,606657,-1,-1,586306,785343,636901,-1,820191,-1,-1,835749,324935,-1,-1,43450,471276,-1,-1,-1,127111,-1,935733,-1,577516,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,494992,-1,-1,119727,-1,-1,996711,234721,705138,-1,-1,128199,-1,821262,939100,-1,-1,-1,25605,-1,-1,655594,495098,434049,-1,-1,214356,76069,34955,953525,-1,652568,-1,150689,732351,-1,235479,756072,68553,662183,84482,-1,948184,-1,441990,-1,-1,-1,36931,-1,-1,-1,298312,637567,-1,155742,-1,-1,159343,-1,3121,-1,-1,-1,847357,-1,806361,107735,952481,-1,-1,-1,-1,443006,-1,-1,-1,-1,-1,981821,586827,130995,-1,-1,331068,882707,-1,841819,486541,944652,382662,166690,-1,-1,-1,-1,-1,598955,171912,779934,476596,434038,-1,-1,-1,956548,-1,777408,349887,602202,-1,-1,-1,138889,349483,501458,-1,-1,396145,-1,-1,-1,-1,-1,-1,389486,135305,964574,371821,391801,14319,-1,-1,-1,-1,-1,445999,645646,-1,347138,-1,-1,850903,-1,-1,-1,509673,-1,361372,157028,370467,181676,212165,-1,-1,602750,-1,96179,-1,-1,330891,893631,-1,-1,911843,710348,-1,-1,403317,-1,-1,92421,-1,174498,895909,-1,471686,785308,39296,703301,-1,-1,619922,168575,-1,571158,154324,631758,430000,-1,-1,-1,-1,842968,-1,774716,-1,-1,-1,-1,256110,187554,431005,-1,742604,554520,-1,-1,237247,-1,-1,920536,442208,-1,950580,344991,648594,-1,-1,-1,-1,201536,-1,-1,-1,696324,61469,-1,-1,679967,-1,-1,-1,175878,-1,-1,397640,779630,-1,111688,-1,406507,-1,-1,-1,-1,185151,119041,-1,-1,197330,-1,-1,440955,673427,556530,714590,49651,731564,-1,41378,154915,509937,-1,-1,349838,-1,-1,325161,-1,685603,595604,948580,170711,453217,522004,-1,-1,-1,265545,-1,-1,-1,11392,248654,109281,-1,-1,-1,916893,-1,926268,490940,-1,971029,146150,-1,-1,-1,-1,-1,96538,237601,849801,-1,910743,170617,515541,-1,-1,454538,-1,-1,127432,-1,187023,-1,-1,-1,-1,219010,225851,-1,574873,-1,-1,381106,199119,-1,-1,-1,184779,-1,66276,-1,818210,-1,975307,788551,588943,-1,-1,-1,990283,-1,866595,-1,-1,28032,545460,581743,-1,413949,224001,-1,-1,511646,422021,166437,-1,603928,646531,-1,124257,509225,305037,-1,-1,-1,-1,777047,573480,-1,297782,324470,-1,-1,-1,610914,-1,554108,24962,283346,-1,-1,-1,759789,737609,-1,617377,-1,-1,397046,-1,-1,-1,-1,-1,-1,-1,606619,989935,547897,-1,24081,819018,978548,579900,-1,-1,937843,-1,921963,-1,79282,826316,-1,-1,771871,829255,-1,-1,31501,-1,-1,-1,-1,-1,839400,939448,-1,157519,740189,423300,-1,-1,3114,-1,-1,-1,-1,-1,206261,-1,-1,823668,-1,-1,969099,-1,657604,-1,723919,-1,-1,102243,-1,890735,17984,-1,-1,176512,-1,788144,684307,-1,-1,-1,706762,-1,835506,757569,464228,-1,-1,707225,74356,930502,-1,837280,527932,387545,-1,735235,219990,-1,-1,30657,281697,-1,244927,738471,-1,-1,-1,-1,-1,347418,638112,690354,709946,80055,-1,537019,-1,884781,168340,-1,-1,-1,-1,-1,891016,-1,-1,527566,-1,-1,348473,-1,-1,591853,-1,460334,-1,-1,-1,-1,448474,307720,-1,200180,536876,342101,97486,510601,132748,-1,452569,580666,-1,-1,744114,-1,-1,297635,197856,-1,831170,-1,-1,704243,333131,816338,-1,704974,-1,83944,-1,-1,34219,73065,-1,806530,-1,-1,56444,855285,-1,523394,-1,-1,-1,630514,221250,-1,-1,-1,-1,-1,786825,224293,55257,-1,-1,-1,-1,675404,189251,-1,923232,-1,100992,-1,570824,472278,-1,-1,-1,334236,293853,-1,-1,857779,-1,-1,727690,-1,970713,96737,-1,990347,90930,-1,-1,-1,335495,760682,-1,-1,523923,389972,-1,336417,185016,-1,876632,244743,-1,11515,114902,-1,-1,-1,-1,349451,53895,670482,11881,-1,-1,580955,-1,917910,-1,-1,938720,966565,-1,-1,123901,736133,-1,-1,-1,519909,-1,502888,21783,-1,966637,620952,-1,-1,-1,344263,-1,-1,-1,-1,836090,384530,-1,887619,78927,117686,-1,791120,-1,213450,352105,216587,70891,-1,-1,-1,-1,-1,718922,-1,612666,-1,717360,-1,423685,808975,550021,-1,-1,-1,191535,666083,-1,253241,946334,-1,421348,922274,-1,-1,331642,239459,221003,321934,-1,-1,-1,-1,-1,587706,-1,101417,-1,581606,-1,-1,-1,-1,-1,597123,-1,-1,-1,-1,60654,758443,-1,953734,923791,215274,-1,691689,-1,293129,510426,422806,696542,-1,11646,150837,6768,216423,-1,527070,73357,-1,-1,518900,-1,347441,-1,-1,-1,175386,-1,-1,-1,744601,-1,339359,749404,-1,-1,807382,-1,536933,983476,301485,568994,-1,380289,-1,265756,327406,146002,-1,-1,843116,597825,-1,180871,552996,-1,928615,-1,97360,-1,274032,-1,-1,-1,-1,-1,753525,-1,-1,385122,-1,876499,-1,15317,-1,257938,389959,-1,-1,473661,61694,817180,-1,-1,740295,-1,839288,-1,206861,-1,397387,-1,981891,-1,889182,889326,870680,-1,527390,-1,774974,-1,-1,-1,-1,-1,551356,-1,-1,-1,591178,980416,-1,266934,-1,-1,-1,60781,-1,550577,529949,263020,-1,319954,6849,50447,467580,2350,174522,174595,-1,-1,519167,-1,-1,-1,578999,-1,-1,415358,-1,-1,936280,-1,-1,629105,-1,111142,692879,-1,-1,-1,350846,-1,556047,419772,-1,-1,-1,142179,-1,903637,856783,-1,-1,-1,-1,-1,-1,-1,771945,79884,971588,367870,-1,702736,-1,178353,-1,-1,-1,621724,594474,572270,-1,498562,411106,442122,-1,307591,-1,66100,980394,247305,801456,362685,-1,-1,-1,781161,969066,278807,-1,-1,-1,26220,388010,-1,-1,-1,470074,565014,-1,-1,-1,594142,283253,-1,305152,306333,-1,-1,-1,981727,-1,-1,-1,918146,444832,273710,108966,834780,-1,314241,990009,-1,989897,-1,-1,360949,105245,-1,588908,492924,574268,150209,475316,287172,215959,-1,72178,320688,-1,368317,-1,-1,-1,-1,130650,-1,861817,-1,-1,912966,327400,-1,96020,843554,730386,-1,-1,613577,-1,-1,-1,250840,839960,-1,41944,-1,-1,-1,-1,670297,180739,-1,596051,-1,452256,-1,849993,827568,-1,-1,35439,-1,906945,997303,-1,-1,263439,760388,-1,-1,322544,-1,-1,-1,-1,-1,-1,-1,251592,-1,209308,-1,994322,-1,-1,-1,-1,398436,-1,-1,562419,891429,-1,891149,-1,568356,-1,687737,-1,-1,-1,-1,661052,-1,982313,804232,56034,874278,159668,664239,612629,506400,652586,-1,-1,-1,479864,-1,-1,-1,-1,-1,-1,568234,349798,878742,111901,-1,741026,752667,731349,-1,295463,-1,-1,-1,21473,-1,653554,800406,290536,190713,236641,431237,169403,-1,280744,252142,-1,-1,894973,-1,274109,264551,-1,431317,531504,-1,-1,-1,-1,-1,336397,916801,684201,-1,985510,690626,-1,-1,772222,-1,-1,305887,374518,-1,-1,-1,-1,-1,984338,677823,-1,221259,464417,601724,-1,950395,-1,397511,940453,-1,731687,-1,569823,-1,42500,877381,815001,-1,525445,937969,-1,633262,55373,-1,-1,911663,-1,343606,280709,-1,-1,332981,624732,505661,507159,593738,-1,868038,845529,-1,-1,-1,575850,-1,376498,-1,296314,500570,-1,681753,-1,782836,227725,-1,-1,964985,977021,15343,458400,774181,-1,956641,572887,-1,-1,-1,-1,603912,-1,85743,867828,-1,383335,-1,427559,343445,391103,-1,-1,931083,890964,-1,480735,677179,-1,-1,-1,-1,742795,-1,960509,247848,-1,831471,-1,-1,-1,482475,197883,-1,-1,-1,-1,780304,401442,801219,-1,-1,912158,619417,-1,682708,-1,-1,-1,91021,109237,602820,427485,370450,-1,-1,9861,380200,677262,809649,-1,833178,904754,427370,-1,336628,927484,654402,-1,-1,350260,-1,723173,-1,-1,-1,207504,296585,-1,804653,824540,-1,-1,-1,538688,-1,487436,620336,-1,446865,683781,68016,670046,442142,-1,479357,27971,627699,337919,-1,283195,-1,691992,573078,275557,-1,592863,-1,962126,-1,982132,-1,-1,829423,-1,-1,826700,-1,-1,-1,636504,-1,-1,394058,666312,84623,-1,429208,-1,-1,-1,929988,-1,423280,-1,22001,-1,188065,449344,-1,238027,462193,564005,-1,-1,920327,537170,-1,743625,376170,-1,-1,-1,-1,386648,246646,-1,-1,-1,-1,-1,-1,116200,-1,52092,781923,-1,-1,-1,-1,970447,388960,-1,724034,-1,570561,347506,-1,-1,-1,343883,711296,373527,-1,625857,-1,53376,-1,-1,-1,-1,-1,-1,30316,-1,17988,963553,503886,-1,-1,-1,-1,226218,-1,-1,352839,-1,561476,449327,-1,-1,612353,-1,268605,-1,914370,855983,697262,366730,-1,386613,515163,758261,-1,662004,438390,630385,-1,-1,952697,-1,432063,446949,66948,616659,-1,626077,105808,-1,122166,-1,364405,-1,-1,652037,-1,-1,923014,-1,680656,-1,653441,-1,261483,-1,-1,-1,845822,-1,-1,168098,143145,69544,-1,-1,-1,702136,784767,188666,72369,782321,703937,637427,537394,513940,734634,-1,-1,-1,39442,430553,193471,-1,659330,-1,-1,-1,543629,-1,585556,446186,732020,-1,-1,251689,242225,265011,-1,-1,-1,207832,244643,-1,936360,-1,710477,818954,-1,-1,-1,468826,638987,-1,396265,-1,897066,478097,-1,-1,882506,565291,288110,-1,-1,338045,135437,-1,-1,147095,507397,-1,-1,-1,791842,-1,295033,190152,667052,-1,-1,651471,712058,999721,395594,512218,496181,-1,90751,-1,960945,358668,-1,-1,-1,-1,37570,-1,-1,34951,-1,-1,823829,-1,574774,644653,746055,416707,-1,259183,661513,-1,239109,-1,-1,-1,814817,145597,-1,541341,-1,412178,-1,-1,-1,-1,-1,30395,-1,162083,803396,-1,903032,-1,719388,-1,-1,-1,665504,294998,-1,-1,-1,-1,660705,734173,-1,491373,167446,206260,-1,786491,-1,387816,616690,-1,882595,-1,746057,137529,751528,765550,-1,-1,-1,80906,349092,-1,-1,369814,941470,776728,-1,841463,538902,-1,325241,930035,18753,-1,-1,-1,-1,306970,-1,-1,-1,837713,353952,539771,-1,275086,-1,-1,-1,-1,201547,-1,-1,348421,819688,-1,-1,-1,-1,819949,543057,680097,-1,548701,787405,278402,-1,-1,-1,-1,841357,-1,-1,-1,765862,604691,-1,-1,-1,259687,38931,-1,406400,-1,125887,768576,40697,416786,295679,-1,982180,-1,276715,-1,-1,-1,157082,119798,802996,587534,378819,612447,609281,-1,-1,267959,238920,991625,962998,907978,-1,735238,44505,-1,576995,354835,784040,-1,-1,616014,266029,442543,236495,394778,982880,-1,353165,448851,-1,-1,344155,20108,-1,319004,-1,429791,-1,690954,153681,-1,443718,712099,-1,862312,868706,-1,-1,-1,-1,-1,260941,-1,199771,-1,-1,-1,706620,73200,-1,480543,619158,-1,904843,-1,-1,-1,-1,-1,490617,519113,-1,453355,-1,-1,-1,-1,777140,273886,290893,-1,-1,295032,166844,-1,451544,427100,-1,253870,-1,36122,895311,-1,419128,-1,-1,-1,-1,-1,738965,164816,200429,503810,-1,-1,-1,-1,813659,-1,730592,-1,178328,522538,574834,526544,-1,-1,-1,166024,190137,-1,851579,-1,-1,-1,533350,584915,-1,-1,-1,711436,-1,475074,316801,836315,403292,578201,-1,632964,-1,101448,-1,576989,516341,-1,250176,-1,-1,977873,-1,-1,-1,-1,-1,-1,-1,-1,947906,174096,400459,315660,-1,-1,83413,329509,-1,866993,650535,-1,-1,404181,539460,803334,924235,-1,348244,-1,-1,-1,-1,-1,808309,-1,-1,-1,507735,812376,743875,-1,824732,167492,-1,938782,-1,688304,815813,236150,551864,-1,632639,-1,-1,217889,944766,-1,236563,413952,-1,-1,266050,-1,223393,977955,669457,695647,-1,-1,370021,558042,-1,-1,-1,-1,686813,-1,-1,361445,126482,-1,-1,125086,-1,917147,707347,-1,5131,-1,-1,895402,319238,-1,-1,-1,943313,339989,772367,486441,-1,962947,356966,-1,-1,-1,-1,495798,-1,855043,157505,-1,-1,715691,-1,-1,513257,-1,-1,-1,-1,684454,-1,978804,427775,561730,-1,36318,-1,43068,-1,-1,-1,314948,525897,-1,-1,-1,841860,139549,-1,-1,874791,-1,70825,594407,286646,-1,488073,379256,952599,-1,444131,5599,942081,-1,-1,562557,654625,-1,283,932669,367018,-1,679181,-1,-1,723949,-1,355559,284875,-1,491191,-1,-1,-1,-1,-1,434580,-1,-1,-1,-1,-1,581846,25585,-1,-1,819030,822637,469473,578062,-1,216900,797606,203091,35802,227964,697449,-1,-1,279025,377772,-1,669026,-1,-1,-1,764687,-1,540116,-1,-1,345949,-1,-1,104814,174342,388710,-1,225960,-1,-1,-1,-1,60871,755600,771666,-1,-1,142030,-1,266310,-1,747898,541422,-1,-1,852278,771607,-1,843831,-1,315707,329831,-1,917125,-1,-1,-1,942602,-1,111805,765071,445087,-1,491253,-1,933144,80197,181784,-1,-1,-1,283855,-1,929778,-1,-1,-1,713203,357345,-1,592849,-1,-1,634951,745457,632363,540834,712723,574967,-1,220278,-1,-1,-1,583002,120883,507696,-1,-1,-1,-1,-1,-1,724987,874925,67133,909750,-1,-1,329770,-1,245335,533909,282609,924354,531939,609689,-1,376855,-1,981901,765469,-1,663888,-1,278437,635965,636503,338712,745920,807330,-1,-1,-1,351662,296036,-1,92882,-1,658647,47394,-1,-1,82736,160239,776585,-1,-1,565559,920179,880021,557213,50483,910214,-1,-1,15070,-1,-1,-1,183205,896631,-1,-1,-1,-1,511313,141181,-1,958046,715603,269688,-1,175587,155786,200271,718714,296648,584840,29036,967759,-1,776093,-1,-1,-1,69886,-1,-1,254994,-1,726223,196885,-1,821477,287980,-1,-1,-1,89719,-1,-1,-1,761141,-1,305390,-1,-1,-1,-1,218117,-1,-1,462770,-1,-1,-1,815425,-1,37584,902724,439576,479559,-1,-1,876013,-1,-1,-1,168661,-1,-1,296679,433308,-1,774251,-1,-1,-1,-1,52358,-1,218246,770123,700000,-1,934148,-1,234942,-1,991899,576884,393678,-1,753379,-1,-1,753275,-1,78820,471200,-1,369489,983388,-1,-1,-1,76128,204939,924099,-1,792843,-1,-1,-1,-1,88145,-1,-1,-1,-1,222733,602420,232379,282181,-1,245143,-1,-1,-1,-1,-1,394884,386376,-1,122952,-1,110684,847343,-1,-1,-1,-1,603697,-1,904555,-1,-1,842351,-1,-1,-1,-1,-1,785479,-1,-1,-1,802132,668101,781624,95681,850165,751523,817318,640465,529419,-1,-1,-1,-1,792601,-1,-1,103990,592316,-1,-1,-1,8486,-1,-1,545682,-1,-1,596109,-1,635868,-1,281053,546214,546527,-1,389155,34032,284312,-1,-1,-1,333040,153945,-1,64722,97892,-1,-1,515233,401141,243632,-1,400324,-1,86448,-1,959326,803360,-1,757443,664437,92127,-1,-1,302075,714604,-1,-1,-1,-1,863710,-1,-1,-1,-1,195739,547579,-1,66736,-1,494126,620148,737608,-1,194352,-1,-1,-1,-1,-1,-1,-1,-1,170838,280641,344315,803639,-1,333528,-1,-1,11487,-1,428795,-1,312300,-1,460361,188098,554728,-1,367334,-1,-1,345404,690644,909900,-1,-1,-1,-1,-1,464605,-1,854076,-1,251401,-1,796448,823381,-1,-1,-1,-1,-1,296200,-1,-1,-1,759913,759292,-1,845258,348819,-1,-1,-1,923482,377388,-1,-1,31262,-1,-1,-1,-1,179435,-1,647961,189477,-1,-1,-1,196680,-1,562194,-1,-1,160103,122956,361002,15760,952313,241618,947859,-1,31777,-1,-1,-1,-1,-1,724472,665217,-1,-1,-1,861258,738722,-1,209292,662298,135115,876318,684532,854458,952645,-1,950545,107419,-1,322461,-1,-1,251229,794250,870328,-1,-1,-1,7723,771745,29016,-1,-1,768071,-1,419319,631247,-1,-1,-1,712040,489713,936287,-1,443762,-1,-1,313899,264404,973027,226409,-1,718172,-1,-1,253789,-1,-1,893785,98519,673436,-1,-1,-1,943647,-1,-1,83543,385650,913564,466098,-1,570971,821745,804836,-1,592664,-1,-1,808454,127386,135868,784069,-1,272251,953345,55598,999684,497748,-1,278343,-1,554439,-1,-1,208914,-1,-1,-1,-1,-1,154392,196713,-1,-1,-1,527504,972216,261024,-1,-1,-1,-1,-1,-1,556486,-1,89111,-1,-1,40630,-1,-1,841581,668502,-1,998446,983250,-1,861795,610761,-1,975302,-1,85276,-1,-1,-1,615629,802342,802993,618632,423409,-1,-1,-1,-1,-1,-1,880006,-1,34337,172289,-1,-1,904992,-1,-1,328721,405916,913550,719891,-1,-1,546032,-1,71182,552033,-1,218761,-1,-1,-1,733335,483293,667001,-1,-1,-1,77790,-1,489563,-1,436624,846638,47297,-1,-1,-1,323314,-1,744743,-1,-1,372346,390897,-1,14560,-1,-1,754593,-1,879891,289151,814109,314776,52528,104650,15996,-1,48224,-1,57724,460882,867176,-1,925790,200129,-1,89348,-1,-1,-1,552243,86372,841310,173781,210829,687818,-1,822664,167942,250582,72870,506676,268616,457216,-1,275832,-1,643964,651974,-1,598329,608356,-1,350404,-1,2579,23507,-1,627237,-1,824971,966481,472965,858279,276824,835489,-1,415575,-1,327640,75591,522874,-1,-1,574673,-1,-1,-1,-1,-1,89059,-1,651638,704714,437078,545892,789047,-1,793019,521897,478131,861002,325572,12085,155173,-1,422984,-1,-1,547950,-1,500932,-1,-1,-1,-1,491390,-1,530855,-1,-1,923337,-1,-1,502116,178598,52958,582832,350164,-1,869744,375435,-1,710273,233525,531181,340033,618243,670946,704705,-1,473102,231055,558998,-1,-1,-1,-1,527433,-1,152920,71484,-1,-1,183591,-1,-1,-1,-1,516492,-1,139127,146864,-1,969201,754476,-1,-1,420628,-1,-1,-1,185024,-1,354262,181028,-1,-1,965784,-1,-1,-1,537675,-1,-1,-1,886868,659358,473938,-1,-1,-1,736042,910749,195982,537414,567581,-1,-1,359074,694227,287792,-1,929882,704586,237157,-1,-1,-1,243692,-1,-1,969014,-1,-1,-1,774121,-1,19039,-1,813230,517006,536500,-1,-1,-1,517871,337576,-1,163083,-1,-1,208480,-1,736041,-1,308782,64778,74606,482907,-1,-1,-1,-1,768053,503859,273753,562975,-1,-1,-1,-1,33333,94946,123812,663399,923341,-1,-1,774284,-1,298001,712027,597892,-1,-1,355208,-1,458755,-1,-1,504599,-1,-1,-1,148196,-1,-1,-1,-1,828874,-1,25951,-1,824092,969966,-1,-1,-1,122745,271294,-1,-1,-1,-1,-1,547320,-1,-1,-1,821574,408807,-1,726016,148810,769623,750499,-1,-1,-1,-1,-1,-1,-1,-1,43097,114514,-1,264295,-1,503803,673345,-1,368675,168421,344319,-1,-1,32945,899687,25712,490112,-1,397742,-1,119183,665102,-1,-1,544977,-1,880446,-1,-1,83675,-1,526604,358212,170261,-1,-1,903036,-1,-1,677025,-1,-1,119267,636069,-1,395607,138210,475073,131036,766357,112864,-1,535260,-1,514725,137907,-1,614401,-1,139859,-1,-1,254272,-1,-1,-1,380478,348932,-1,-1,-1,73703,394268,-1,-1,-1,136254,-1,916981,100674,-1,729547,-1,-1,7344,-1,928531,795516,-1,373723,-1,-1,-1,-1,-1,-1,755792,134825,-1,247677,496291,-1,292759,997797,-1,411342,-1,-1,467114,-1,-1,-1,505794,-1,-1,-1,-1,336625,83963,-1,833469,-1,-1,352747,28681,882511,994332,47684,-1,463917,-1,869398,-1,-1,-1,823316,251439,438430,299047,-1,-1,-1,-1,-1,436891,-1,487810,-1,-1,-1,154544,267095,459498,-1,-1,639925,116468,-1,352468,-1,-1,712427,438648,863000,543168,473337,37879,448251,112530,284466,496666,-1,-1,510694,27676,-1,-1,214987,-1,-1,903298,691535,-1,539802,-1,-1,555259,-1,434330,395700,716811,528586,-1,-1,517004,924415,42923,412052,468442,-1,633428,-1,-1,534574,-1,816819,425055,455205,-1,-1,455759,24079,-1,-1,-1,-1,902041,772198,650397,-1,911095,-1,790231,297281,840167,-1,171395,384292,-1,-1,990522,319365,-1,592339,861196,349050,-1,-1,725373,-1,-1,-1,-1,-1,975855,-1,881003,719978,67105,-1,869536,250684,-1,461288,943928,762383,-1,-1,-1,-1,-1,-1,427273,-1,505862,86835,-1,-1,-1,-1,49125,-1,-1,-1,-1,353564,787389,-1,652901,-1,-1,-1,-1,440396,966734,681738,406912,-1,596717,39828,523054,-1,400453,694356,16862,873220,-1,-1,-1,-1,441260,544761,-1,394944,122701,36184,-1,351820,-1,74469,-1,-1,338614,558968,-1,48795,57303,-1,52754,645413,-1,415903,359292,-1,-1,-1,-1,-1,198449,798522,572762,-1,3002,-1,-1,349800,419813,-1,27911,-1,611424,49501,192113,-1,-1,45292,295157,730808,174623,424604,463960,-1,63276,-1,308351,724302,721497,517970,737319,243509,327963,-1,784724,869431,-1,-1,346144,-1,-1,-1,244145,-1,182441,554626,874216,-1,720962,-1,-1,-1,767049,-1,-1,-1,723805,-1,-1,-1,514071,292065,713830,-1,-1,76138,600239,-1,699406,-1,-1,395804,650379,-1,-1,-1,525566,-1,507835,-1,-1,555929,-1,-1,-1,-1,532364,-1,740418,-1,-1,874487,80992,-1,-1,268402,213776,-1,44667,-1,215561,32295,323885,-1,408255,-1,878936,807789,-1,-1,842811,758163,-1,-1,-1,846751,293897,256106,863028,-1,335248,105017,687712,738178,750393,-1,131173,19416,-1,-1,885971,-1,-1,-1,768903,699296,-1,-1,-1,893869,-1,666905,899649,337287,838332,708089,592651,723659,-1,-1,-1,844561,634071,-1,-1,-1,909405,-1,442837,-1,-1,-1,-1,23023,345703,544908,490714,155377,-1,472467,-1,414682,861156,-1,-1,-1,-1,756502,523291,-1,-1,206493,455993,520703,538069,-1,781174,-1,927097,584911,769078,-1,-1,-1,-1,619169,483385,105371,-1,-1,-1,63125,-1,-1,976695,-1,-1,-1,-1,-1,-1,464440,-1,910912,852835,892695,221036,916306,342022,-1,657160,76584,788701,201785,-1,134564,-1,-1,-1,-1,629538,-1,-1,-1,-1,748223,-1,-1,335166,-1,-1,392737,977458,-1,-1,897555,-1,378415,-1,45376,-1,-1,-1,-1,-1,89150,-1,518997,-1,-1,-1,-1,552443,172368,-1,-1,-1,602301,846366,-1,-1,-1,-1,-1,189258,-1,211989,554945,468157,813247,351903,571828,587689,513705,-1,622780,484449,-1,65788,150057,-1,999994,288109,-1,-1,-1,333988,-1,938376,703358,-1,-1,99502,-1,-1,-1,298777,-1,-1,966954,927304,247601,-1,-1,650737,-1,-1,-1,-1,137631,251621,98102,730715,183596,228786,-1,-1,-1,943561,45595,-1,762495,-1,56379,843225,597675,-1,-1,-1,-1,-1,757214,181032,726305,-1,517651,454528,-1,-1,-1,991938,779040,780212,815042,580763,417354,829625,-1,318932,-1,-1,837639,779975,419726,972421,-1,623811,100052,-1,-1,-1,-1,-1,293682,168582,691793,473110,-1,425982,-1,-1,-1,-1,641221,38260,-1,156121,-1,-1,290091,183419,916851,306665,-1,316989,772618,-1,675087,826206,262575,227325,206372,-1,679216,132484,36021,-1,917320,-1,567751,-1,-1,-1,937098,875575,149512,904827,-1,-1,-1,296444,-1,-1,-1,387246,-1,-1,675962,-1,-1,812647,189515,97826,446063,564467,945245,726356,-1,863862,-1,355687,159396,665496,-1,587615,466843,-1,228270,-1,431065,198338,-1,927584,-1,898015,645549,40706,894461,-1,115515,339961,-1,-1,-1,882119,-1,-1,-1,-1,179376,326258,606871,-1,-1,-1,-1,564549,977135,-1,535847,-1,-1,978110,774009,-1,-1,207800,574694,21133,-1,-1,631019,-1,21104,444575,275076,-1,379730,824284,-1,324203,238255,898185,-1,-1,-1,-1,-1,425186,-1,-1,508323,-1,552032,-1,700586,-1,529522,-1,-1,348526,643186,-1,-1,771800,288813,-1,978439,-1,-1,-1,-1,-1,461196,-1,-1,-1,411456,191774,-1,297863,925737,137600,-1,-1,89138,-1,370863,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,573479,761447,-1,351336,-1,205866,190373,-1,-1,-1,498439,470055,369450,196504,844985,-1,531874,21116,806010,639917,-1,-1,225568,-1,-1,233475,91219,343812,922135,-1,-1,-1,-1,200964,-1,-1,744141,-1,707267,-1,621544,-1,378765,-1,-1,639749,-1,-1,-1,682695,610881,-1,680393,152071,18031,-1,688512,-1,-1,-1,-1,504490,444170,283517,224210,-1,185767,491325,637403,87376,838816,211799,-1,961312,918720,511224,923921,-1,678851,127366,-1,83888,119551,-1,990240,-1,-1,-1,-1,-1,105749,-1,-1,-1,-1,834721,630008,-1,-1,-1,70332,391157,-1,-1,-1,438489,-1,846285,-1,-1,399590,997756,365274,456775,302620,-1,733459,-1,136024,-1,-1,6624,-1,-1,-1,-1,-1,818916,-1,392034,552230,727340,-1,-1,899480,-1,-1,-1,-1,765243,-1,195996,236091,-1,587984,-1,876245,321396,189853,746474,743684,974473,978602,-1,-1,-1,604864,-1,713562,124682,152463,661946,-1,-1,-1,-1,705520,-1,-1,-1,823904,578811,-1,892668,-1,984376,899540,-1,-1,-1,224749,-1,561636,-1,862583,-1,-1,-1,844656,-1,-1,-1,300312,-1,770047,-1,-1,-1,409962,-1,-1,21889,-1,690313,43768,548078,522962,-1,210665,737763,137522,616930,297613,836555,-1,-1,-1,92219,874645,83395,-1,116509,139209,-1,211450,-1,-1,-1,367994,-1,-1,52983,-1,-1,390068,-1,563849,469422,252413,-1,-1,-1,-1,-1,-1,-1,-1,-1,771439,-1,-1,-1,767350,-1,690184,731073,-1,590311,523594,722725,-1,-1,-1,915539,-1,408195,894135,871204,96821,268469,-1,526456,247045,-1,-1,-1,-1,846331,699901,206380,-1,-1,-1,94013,-1,-1,613455,-1,-1,-1,42485,391483,813135,620824,-1,871500,-1,362159,-1,-1,-1,-1,820724,-1,-1,-1,-1,-1,728900,-1,-1,-1,-1,625471,-1,-1,908009,217529,-1,151672,205703,92889,317391,708057,603658,-1,-1,-1,893379,547623,347647,-1,750133,704591,-1,933635,131121,-1,-1,815609,-1,103343,-1,889884,-1,616972,767470,-1,-1,-1,-1,193148,854194,-1,268072,88924,-1,-1,777999,-1,311511,968272,-1,-1,19458,856989,68669,-1,23238,-1,-1,660833,-1,785635,-1,-1,-1,-1,-1,501027,-1,316114,-1,-1,247511,689293,-1,547672,-1,-1,711147,-1,237481,-1,-1,194029,-1,-1,327734,592415,-1,-1,-1,-1,-1,-1,692583,-1,616997,-1,-1,-1,-1,84759,516916,900589,968554,482312,534415,798074,-1,665283,991560,-1,-1,800471,421392,-1,543588,537322,909958,-1,637960,-1,712539,614663,816754,-1,-1,-1,836688,157510,861390,-1,-1,367744,87336,129231,-1,74793,433348,119891,872787,-1,726088,-1,-1,757494,268515,-1,600209,-1,497660,369957,-1,99252,68910,-1,-1,182525,-1,869298,-1,-1,-1,436938,687038,-1,860129,273930,-1,-1,-1,86342,-1,570854,759212,221618,698196,-1,214871,719710,171913,-1,-1,847624,-1,793963,-1,670715,-1,978091,728237,719684,480307,627386,-1,438783,-1,861970,-1,-1,405591,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,377449,-1,-1,726083,-1,562616,-1,-1,-1,773624,887368,-1,819983,912553,-1,-1,-1,843189,-1,-1,-1,-1,-1,-1,-1,-1,253941,181541,-1,-1,460367,571876,-1,330339,-1,71363,-1,-1,250337,-1,646322,273802,-1,-1,400109,-1,-1,302651,-1,213042,-1,-1,-1,-1,-1,515589,-1,-1,-1,385312,-1,-1,440052,-1,-1,808511,155629,-1,-1,-1,566850,502149,411678,-1,405600,-1,537942,-1,411996,380192,-1,-1,783584,-1,-1,-1,111332,394726,-1,633465,-1,863275,-1,-1,374670,-1,-1,339555,-1,-1,-1,881069,-1,-1,-1,-1,-1,895221,247779,628590,334504,685094,-1,982356,-1,785843,493785,-1,777543,259271,292458,511184,331522,-1,-1,131658,-1,-1,-1,848112,-1,460785,-1,-1,942835,337935,631667,391323,-1,389652,595827,232419,-1,-1,521917,156094,717673,137311,449355,928472,185048,-1,-1,-1,289868,-1,-1,-1,468924,490817,-1,-1,493195,235059,-1,-1,-1,-1,-1,-1,392616,-1,-1,-1,34875,-1,-1,-1,795118,-1,-1,-1,-1,400463,-1,-1,-1,-1,80502,-1,392634,241423,-1,967772,-1,492494,649836,-1,963159,-1,-1,482220,985872,197009,617255,193464,901372,869305,-1,740030,364856,-1,-1,-1,-1,-1,291145,296008,176596,-1,-1,884196,200416,388147,-1,609042,-1,556819,-1,305627,-1,991028,231264,726307,762769,999388,797056,-1,516088,-1,546259,760394,-1,-1,-1,248532,84089,583501,-1,585617,-1,571172,654234,-1,921060,208563,-1,-1,69225,-1,-1,488036,656226,422409,-1,-1,382242,810509,-1,-1,-1,808396,936115,-1,907910,86025,-1,-1,-1,875926,425677,-1,-1,-1,-1,472689,218040,-1,-1,469042,49014,-1,291530,642961,23517,54807,-1,501322,364778,-1,715110,-1,849887,-1,-1,-1,140468,969894,-1,895864,254786,-1,856568,346036,176578,678968,-1,-1,-1,-1,-1,790169,161315,904192,882206,-1,-1,221365,-1,707586,377445,687437,408762,839775,-1,-1,-1,-1,-1,-1,491295,17825,-1,469724,132463,-1,288500,550351,-1,93635,244435,178010,942117,222231,499452,573949,540938,-1,958655,977679,368491,-1,-1,813042,-1,965260,330045,605022,932321,7069,460513,-1,184732,12499,518982,-1,-1,756935,73688,-1,764795,572789,661299,-1,-1,-1,315778,18915,24033,153000,680583,-1,950411,-1,-1,296369,-1,958239,-1,595844,161176,212268,925174,-1,163991,371079,-1,-1,-1,42651,56520,404321,43332,41758,-1,-1,816884,422204,-1,585091,-1,-1,-1,737443,944149,-1,-1,-1,-1,252004,-1,404612,-1,-1,-1,394575,-1,-1,833842,457705,874845,804564,46625,550027,-1,-1,-1,-1,-1,153594,558076,-1,-1,765250,-1,747249,960337,850671,-1,721635,875177,-1,161634,997273,185275,884664,479166,-1,205612,-1,725957,944197,-1,-1,506777,526811,379979,-1,771216,552195,-1,-1,885484,499296,-1,-1,176143,-1,-1,-1,235765,161337,-1,-1,571811,771357,825651,-1,217780,-1,-1,-1,-1,267279,-1,302086,151245,848946,-1,-1,864211,-1,54366,-1,481410,-1,-1,530240,-1,-1,95246,615829,-1,-1,-1,-1,223337,-1,62047,931358,748636,307441,307477,-1,-1,564319,-1,-1,-1,-1,-1,397812,-1,-1,140337,-1,-1,115781,415808,-1,2918,-1,-1,-1,430414,-1,178143,-1,112180,697500,640692,-1,-1,683339,-1,894200,261888,849926,-1,756293,141113,-1,25573,-1,-1,-1,754610,-1,300202,-1,-1,-1,736628,-1,-1,426323,-1,-1,-1,75794,-1,783669,759690,319192,-1,432987,-1,267787,-1,449848,744036,438280,-1,-1,-1,644163,715725,-1,401873,125718,696418,-1,-1,59575,369854,-1,898762,450562,-1,25642,-1,533904,-1,60790,-1,345259,270924,-1,-1,-1,-1,825397,585371,501569,-1,-1,-1,-1,-1,282599,-1,-1,-1,-1,732373,-1,-1,244470,179408,697393,-1,283055,839632,651721,-1,807179,867888,-1,-1,857312,83293,46073,-1,533804,-1,840035,190230,-1,571625,-1,492529,673272,-1,237772,982377,210949,177463,626462,766328,542547,413241,-1,434204,781903,341586,576647,214792,66080,594440,54314,552524,-1,710365,-1,140401,-1,-1,-1,431508,-1,300897,748771,-1,192181,-1,-1,894873,-1,718223,-1,-1,-1,629970,-1,818866,670814,313533,-1,883909,-1,243443,-1,-1,22078,-1,46064,-1,-1,924689,887954,779353,104904,-1,-1,-1,-1,311194,-1,-1,-1,-1,-1,59972,442813,-1,-1,-1,-1,483233,-1,-1,-1,-1,-1,-1,-1,-1,787140,799372,-1,912358,581191,936564,-1,-1,687769,-1,-1,-1,651517,298201,337689,-1,-1,508879,641038,-1,-1,849411,-1,-1,301191,-1,-1,774819,-1,-1,705384,-1,925596,-1,975377,336296,-1,378424,25544,202756,-1,-1,-1,-1,16609,327036,9039,-1,-1,-1,19466,-1,633337,-1,-1,-1,339681,725377,420844,429023,496927,891677,-1,-1,758068,-1,-1,-1,629991,161196,510437,-1,937159,-1,-1,784613,148999,392361,561975,731966,23683,-1,-1,-1,-1,921271,982280,996719,-1,827355,-1,-1,-1,-1,20610,-1,-1,34972,655782,-1,-1,-1,276250,-1,-1,-1,374553,-1,534705,-1,807771,-1,490506,601801,836481,568804,595093,-1,-1,-1,934408,-1,117000,922017,28042,318445,-1,-1,-1,-1,-1,685341,255072,-1,188305,-1,-1,-1,-1,-1,-1,76792,94869,-1,-1,-1,119769,-1,28457,-1,-1,291624,-1,-1,722713,780067,-1,246849,-1,-1,-1,-1,-1,103328,-1,809126,-1,-1,-1,673507,-1,675295,415582,-1,369220,492427,-1,304028,-1,705365,515841,-1,-1,-1,-1,-1,732095,650377,112293,-1,-1,-1,268741,-1,146189,70441,-1,-1,248151,-1,-1,551447,247097,-1,-1,224839,-1,489109,-1,419369,-1,-1,255708,699053,-1,333168,222572,-1,-1,-1,759315,501088,-1,431405,499057,-1,-1,-1,285548,-1,195293,611798,-1,991631,-1,-1,-1,-1,-1,365869,-1,-1,32592,-1,698696,-1,-1,450619,-1,39978,-1,-1,21317,-1,-1,-1,274518,-1,988701,454000,-1,-1,-1,556828,-1,-1,-1,-1,285230,495223,972513,507009,-1,-1,7848,-1,251906,-1,-1,39628,910485,-1,-1,-1,-1,65796,380668,-1,199642,233459,-1,736701,-1,-1,-1,921365,-1,-1,920629,258957,-1,-1,-1,-1,343177,-1,-1,566608,585254,494336,1724,121681,-1,-1,-1,-1,-1,260837,336534,514877,486925,-1,564700,-1,636815,-1,-1,-1,-1,-1,-1,-1,397485,307605,-1,378421,443023,-1,-1,-1,214434,-1,606981,-1,-1,-1,77220,-1,991427,-1,715963,5523,299396,-1,-1,23787,-1,-1,129499,-1,-1,-1,762863,-1,-1,-1,274686,397447,-1,-1,396781,-1,501407,140283,259390,-1,919493,57268,127695,-1,366422,13116,-1,956650,771819,-1,243685,-1,-1,-1,998701,697614,-1,237880,426321,-1,600351,-1,285559,-1,-1,-1,530294,-1,-1,177104,-1,-1,-1,-1,-1,-1,989464,-1,135521,-1,-1,390288,458736,971877,-1,-1,-1,-1,-1,-1,-1,659849,179089,887341,676844,455516,-1,-1,-1,-1,335293,-1,-1,-1,-1,-1,-1,923666,-1,8165,-1,-1,708601,642075,567007,203378,-1,-1,907459,-1,249030,-1,756300,-1,37009,-1,509679,-1,175224,-1,-1,-1,-1,-1,345483,-1,497770,19091,329207,-1,579832,637564,665742,-1,-1,835372,897331,-1,444511,518648,-1,623170,105435,135464,-1,312982,978724,-1,476538,-1,644321,-1,-1,-1,963340,805696,-1,-1,-1,600577,-1,-1,240780,458564,-1,519041,973663,50813,-1,-1,53794,389197,370910,533038,-1,337615,468975,-1,734095,-1,-1,472,-1,-1,180374,-1,-1,-1,-1,568862,772520,-1,990501,626707,-1,-1,42920,897493,-1,436551,558207,-1,-1,690120,248508,834771,777621,796579,-1,427860,547772,-1,201849,93784,313134,-1,780944,-1,782496,-1,-1,704354,-1,-1,932168,-1,51062,-1,-1,-1,53223,-1,-1,195070,-1,661682,-1,-1,740982,562307,683955,-1,-1,861920,-1,-1,201291,192514,122954,997524,623793,-1,516349,769098,826704,-1,-1,443633,-1,-1,345942,497558,-1,47099,-1,-1,530328,-1,-1,-1,713223,-1,115735,-1,711828,118839,40932,-1,-1,-1,440698,-1,226006,969731,-1,925762,-1,-1,-1,-1,-1,-1,-1,-1,510358,-1,-1,-1,-1,3088,724726,-1,344261,821761,-1,503361,-1,-1,449979,-1,430203,-1,-1,952325,184567,840386,-1,753095,416495,893291,-1,-1,-1,-1,-1,300446,-1,165426,377123,632013,-1,400538,619198,26081,-1,-1,-1,-1,-1,335282,165833,-1,478167,45219,-1,-1,-1,-1,885718,474149,55869,462525,50264,-1,-1,-1,555612,-1,-1,-1,-1,868441,791490,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,763802,521942,711689,568970,-1,759277,-1,-1,95530,-1,178153,16337,321862,263758,518682,-1,319247,631242,-1,-1,894007,975532,-1,362527,109559,447888,356586,-1,-1,-1,487228,-1,-1,-1,-1,-1,-1,-1,-1,-1,106790,53423,765975,-1,-1,-1,931548,697327,51909,220032,586839,-1,692512,414402,514043,-1,-1,943075,836169,-1,413144,-1,-1,-1,145190,-1,515464,235893,-1,575087,-1,732659,451889,-1,510504,909374,-1,833128,-1,-1,123626,683072,-1,-1,-1,559510,-1,-1,-1,-1,-1,787208,780593,703383,-1,-1,-1,584514,461213,-1,-1,-1,381560,144808,664018,-1,927978,-1,347940,-1,-1,-1,3061,795005,-1,-1,541989,987628,-1,-1,800722,-1,-1,-1,400474,-1,414243,-1,976651,-1,33263,701681,-1,882048,241612,283298,928349,-1,805985,-1,222195,968883,-1,320251,-1,77260,141515,242325,-1,-1,170652,-1,-1,111139,105054,363620,-1,840791,605686,376279,286250,339852,-1,-1,-1,302596,-1,-1,973088,-1,-1,792582,-1,417379,120159,-1,54446,807110,219420,654678,-1,-1,-1,-1,-1,-1,516788,702515,945984,-1,266692,874559,-1,-1,-1,91081,159720,-1,-1,750979,673835,114388,-1,-1,-1,-1,-1,174631,485687,-1,214742,-1,206832,873938,-1,452244,550317,-1,511575,808286,-1,-1,-1,116698,-1,-1,-1,-1,470685,-1,-1,447381,-1,93200,748245,111266,45347,-1,-1,220709,301160,-1,-1,833646,-1,346458,246272,609892,-1,437605,-1,851888,171515,904878,-1,373336,-1,-1,773639,582183,436732,606266,492476,854,769086,-1,-1,53178,571652,513781,-1,910615,283024,704346,-1,-1,109639,-1,-1,-1,508615,-1,790206,-1,332645,-1,-1,322590,480860,989802,-1,-1,324344,-1,979321,-1,-1,-1,-1,657038,499678,-1,60451,520462,351849,678433,938040,-1,-1,-1,746361,-1,-1,338069,684287,207022,668061,567159,-1,505064,-1,-1,495930,254255,-1,370252,-1,-1,-1,-1,219274,-1,324114,-1,946032,470573,-1,440348,-1,-1,706169,839340,143845,-1,-1,443287,17696,97566,689897,690292,775361,-1,-1,-1,849716,702826,-1,625347,247857,-1,621497,-1,90458,-1,-1,157935,496571,-1,-1,-1,-1,926788,178239,-1,138325,-1,-1,-1,688620,-1,-1,473114,7685,883433,-1,890454,878848,297511,132421,928960,883330,-1,-1,907458,-1,315862,129512,-1,-1,-1,-1,-1,87771,811252,-1,-1,-1,-1,-1,190664,-1,625689,731819,-1,570534,-1,942539,428765,816542,508874,-1,-1,705352,-1,-1,66358,-1,490545,148993,199178,-1,256936,677525,918311,-1,260190,596526,87831,372217,748454,-1,967585,-1,-1,756553,-1,986312,162281,211458,381278,32700,731560,-1,-1,-1,-1,65137,587167,370837,-1,-1,408202,649367,-1,612810,146289,304727,-1,-1,921454,282848,192302,-1,-1,960002,270402,-1,-1,-1,549105,773541,-1,-1,281446,-1,428683,-1,-1,-1,195622,869937,641236,-1,-1,104788,-1,-1,-1,-1,365659,-1,682976,-1,-1,84116,-1,454839,693820,-1,-1,-1,-1,-1,-1,274969,459539,-1,750256,-1,766539,-1,-1,-1,328540,-1,903098,-1,432877,-1,-1,-1,-1,825729,127693,609063,666274,894797,-1,944454,-1,-1,-1,623444,-1,189923,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,537395,-1,207123,-1,998812,462287,-1,892784,-1,-1,-1,189203,937928,727147,-1,618863,-1,32196,-1,813176,74171,191482,-1,-1,694198,-1,-1,-1,145912,-1,-1,732358,-1,-1,-1,604268,-1,-1,468713,-1,-1,-1,-1,179721,-1,810158,-1,594561,-1,-1,-1,835490,-1,542246,-1,903075,36811,192941,508643,383399,-1,379286,980454,-1,-1,-1,975124,-1,713619,624648,786358,-1,593928,-1,69097,583792,-1,-1,-1,-1,119149,634095,-1,804619,-1,313798,639056,300865,273826,62194,-1,-1,268632,168003,-1,-1,-1,-1,-1,-1,149536,176017,978997,524381,-1,-1,134311,-1,941313,301692,-1,717723,-1,228747,-1,-1,131445,-1,830698,-1,263358,-1,-1,123548,359390,921681,-1,435484,255146,372237,-1,139913,683148,820367,-1,-1,-1,-1,-1,-1,584304,-1,-1,-1,-1,299884,-1,12987,-1,-1,-1,466387,-1,-1,555039,-1,708037,694941,-1,317449,484755,-1,824137,-1,960245,-1,433476,734617,106829,641887,-1,-1,277880,867290,-1,-1,-1,-1,127180,269312,-1,486951,-1,389890,861872,-1,-1,153229,81889,-1,703526,320373,-1,-1,782641,-1,634996,807712,73022,-1,-1,768147,-1,533026,997794,-1,641987,389869,-1,168876,-1,-1,709178,843572,211597,914141,853639,-1,239986,-1,-1,-1,524953,-1,670771,-1,-1,-1,419105,-1,-1,582847,923062,172532,433885,-1,384764,444374,620801,24668,982264,-1,-1,-1,483189,832404,-1,-1,-1,504290,-1,40633,153504,672843,-1,307425,672927,566201,-1,802001,54044,-1,698695,-1,821818,748305,431027,957384,-1,102658,-1,-1,628709,-1,357280,-1,938830,-1,-1,208735,998841,372963,40960,-1,72311,114412,735126,299818,-1,-1,524289,-1,-1,300394,882172,484505,838204,-1,570410,849969,525646,-1,-1,-1,412440,274727,970582,124480,-1,353744,135231,553949,-1,785496,-1,484432,967155,187946,-1,-1,-1,-1,-1,829513,-1,141681,-1,690570,-1,-1,986534,-1,834211,-1,-1,981768,660253,503964,471177,584151,-1,430466,-1,20765,-1,481066,95778,-1,-1,-1,791741,-1,649284,349919,-1,-1,510404,465041,-1,-1,-1,876642,-1,433981,136583,-1,634752,611137,-1,952619,855887,713622,-1,-1,659994,935247,820048,-1,958928,-1,271148,187095,537973,558016,-1,-1,-1,-1,-1,303217,-1,303726,-1,3402,442811,-1,-1,-1,529211,-1,791433,-1,-1,563174,223731,-1,287296,94370,4039,702012,-1,-1,976776,-1,-1,-1,236266,387767,-1,-1,869633,-1,-1,-1,-1,-1,-1,447003,-1,-1,-1,966660,505703,-1,-1,127203,-1,-1,-1,720236,897472,976188,-1,286559,-1,928268,512119,168322,924899,-1,718687,798103,32742,-1,743793,779330,507876,-1,182823,-1,-1,-1,-1,594448,354809,-1,-1,7982,577380,-1,-1,643388,730416,214387,-1,-1,619902,200711,701105,-1,466795,809122,-1,-1,-1,-1,-1,672081,-1,359955,-1,-1,348170,676093,-1,847608,-1,-1,-1,-1,-1,360564,872968,-1,-1,700086,540288,-1,-1,-1,849677,345414,810637,-1,-1,-1,-1,-1,-1,-1,-1,589320,614792,-1,-1,-1,-1,-1,-1,-1,-1,-1,806653,288470,848237,-1,133298,-1,-1,573283,-1,-1,-1,-1,-1,-1,-1,-1,-1,882190,406101,865723,977990,-1,208867,-1,560285,-1,-1,156211,-1,478882,879312,448462,704595,-1,271372,-1,739331,310360,-1,-1,640418,-1,903104,943705,925576,-1,-1,-1,109040,-1,-1,956089,-1,327307,765870,-1,646047,260884,-1,-1,-1,446657,-1,-1,-1,-1,729513,564334,896756,-1,977208,468281,-1,-1,584468,260741,-1,-1,66083,315901,-1,675182,-1,235812,869763,183097,754272,878115,575477,80781,-1,850512,-1,-1,825912,-1,-1,983628,-1,997992,658003,869980,802050,340305,-1,655333,809153,977274,8685,445755,773505,-1,122780,122807,335157,479412,-1,-1,494571,-1,-1,303902,658214,-1,-1,-1,-1,-1,-1,-1,854172,364884,146830,895510,482813,570642,-1,-1,811021,768200,369523,503680,365784,-1,436237,-1,-1,-1,-1,667915,-1,-1,126748,185672,-1,-1,715258,753751,294751,-1,924964,-1,892016,-1,221672,-1,-1,-1,-1,-1,998261,620599,694418,765936,61999,-1,-1,801926,998072,323398,-1,568545,-1,50610,554218,-1,-1,707752,749651,253312,-1,978902,452574,354836,150815,-1,889790,273315,942482,-1,445174,231670,-1,194350,-1,-1,745729,-1,653190,-1,-1,559888,233957,-1,493356,273250,-1,173435,320356,-1,-1,-1,154918,835959,-1,-1,946734,743620,-1,-1,158127,534488,-1,-1,-1,967432,-1,-1,573354,50149,-1,-1,835482,-1,-1,87618,154777,108306,34577,-1,-1,-1,-1,295759,-1,-1,-1,-1,837283,519442,593417,-1,367988,658631,-1,241535,-1,456953,536773,-1,-1,114631,-1,-1,-1,-1,-1,887371,428077,-1,132386,-1,-1,-1,-1,-1,-1,923750,-1,364443,503088,302556,-1,161330,666457,850877,388477,807167,654534,894470,-1,-1,834223,-1,-1,-1,-1,-1,523230,-1,328204,968331,-1,777971,606001,-1,173009,907013,950501,548899,-1,-1,665899,951557,-1,165585,-1,-1,-1,-1,103098,990387,842019,124170,332550,-1,-1,-1,151752,864795,-1,52440,-1,775762,816589,498698,-1,-1,-1,546263,357518,-1,-1,657870,166569,-1,-1,-1,924775,-1,474072,-1,-1,857422,894267,-1,-1,-1,-1,122534,-1,-1,-1,-1,669234,764749,-1,-1,-1,-1,-1,-1,144704,-1,369361,658674,-1,648498,229647,-1,619404,135784,844579,-1,-1,707173,-1,-1,-1,703800,514647,969940,-1,189654,406982,-1,-1,947318,-1,437237,-1,-1,-1,968092,76093,-1,-1,315163,679308,-1,353457,-1,126946,299130,-1,-1,292967,531834,607970,280338,-1,-1,934713,26959,682570,312513,683237,814748,-1,746293,-1,-1,-1,-1,720991,501643,73011,-1,-1,745524,615264,-1,299214,470011,236652,-1,-1,-1,-1,202869,937697,-1,-1,503369,-1,-1,-1,-1,606764,-1,904025,-1,-1,-1,368064,453933,360444,-1,650954,-1,-1,461747,903222,-1,-1,-1,-1,-1,341601,-1,-1,517619,638907,-1,410913,-1,377846,-1,-1,-1,329942,-1,294734,-1,-1,732715,-1,908980,614391,-1,-1,-1,22630,262192,-1,-1,-1,-1,-1,-1,-1,-1,17080,-1,-1,-1,-1,-1,308083,-1,650852,415085,549918,53997,-1,696339,715059,190212,-1,-1,217524,926960,-1,363181,180795,80495,768799,-1,-1,789365,-1,-1,-1,853389,700567,933582,-1,911066,467517,-1,631104,356087,-1,-1,962455,-1,-1,-1,-1,-1,-1,-1,402438,-1,-1,864033,-1,-1,-1,261644,549599,542443,-1,-1,659069,488949,-1,808224,-1,-1,255177,428337,414684,481818,-1,26889,-1,353281,-1,946591,746845,686175,-1,192643,145642,935451,689152,-1,-1,-1,-1,-1,203357,198725,-1,-1,282033,942600,902339,-1,52090,241299,376071,765351,852487,193710,-1,-1,-1,193874,379524,-1,-1,817896,973282,-1,804717,-1,-1,-1,45610,707749,222597,-1,-1,682482,-1,651616,249308,-1,-1,-1,859950,622100,-1,331306,-1,-1,-1,438296,-1,135698,-1,834023,-1,27378,-1,-1,-1,200187,-1,977146,-1,-1,570038,-1,-1,-1,795613,-1,951856,779544,540583,-1,858942,-1,115152,-1,-1,-1,644246,779456,-1,-1,-1,415174,674681,313903,311059,397955,-1,-1,366527,120830,-1,286913,-1,-1,579955,978828,-1,-1,-1,393757,-1,1941,893977,294491,102228,475928,141109,-1,-1,-1,177528,-1,865692,-1,196734,-1,-1,689274,518962,-1,-1,164933,23263,779019,801234,-1,-1,-1,-1,109135,431147,99407,-1,-1,461766,-1,-1,838441,-1,-1,-1,718791,234706,553249,339760,491124,-1,655021,197666,885166,-1,-1,-1,-1,632281,997186,532999,913064,-1,-1,798181,603866,-1,-1,-1,-1,7027,962972,-1,-1,-1,175467,691512,63057,-1,-1,724158,632791,-1,-1,-1,86127,57032,514060,779093,885354,328152,-1,860362,668838,-1,354257,-1,366854,-1,910973,-1,-1,-1,19510,505292,-1,-1,-1,-1,509039,-1,-1,457201,-1,694215,-1,564865,638845,-1,200401,-1,428475,851803,-1,-1,22594,161521,-1,-1,36183,203441,-1,-1,-1,-1,371591,-1,240034,-1,605128,-1,-1,-1,633860,160276,167832,-1,314632,70977,490254,-1,-1,726476,-1,-1,805163,872977,273756,-1,904290,280821,207915,-1,-1,-1,787905,476158,-1,-1,379923,251423,434337,-1,189778,-1,8919,-1,-1,-1,976335,-1,159599,241626,-1,180778,652680,-1,-1,861353,30917,-1,-1,-1,470535,358134,809331,44542,-1,818278,807345,-1,967511,-1,979324,-1,320743,89966,-1,949801,-1,-1,-1,-1,492863,-1,627871,110841,-1,-1,830820,647080,628563,932593,-1,-1,-1,111525,-1,409098,-1,-1,-1,-1,-1,901212,261062,983308,-1,-1,598335,141972,-1,86314,367178,-1,-1,885546,-1,252835,734071,521804,-1,692945,-1,174900,-1,35563,719647,791143,-1,-1,955742,751085,-1,-1,-1,979223,-1,-1,-1,237529,261259,-1,-1,-1,-1,124253,-1,-1,-1,719444,-1,-1,-1,-1,636791,270185,-1,-1,-1,34753,-1,73282,-1,55052,63100,-1,443879,-1,171873,807537,255665,982676,-1,752275,346037,695045,-1,589894,382398,-1,886866,283023,-1,575910,123436,809420,-1,-1,33328,-1,-1,-1,-1,906806,-1,697613,-1,-1,-1,400194,530189,-1,-1,29312,483423,837338,991576,-1,-1,596855,496690,-1,-1,432140,591738,-1,958615,201956,134891,547990,659212,-1,-1,-1,-1,624910,-1,-1,193749,-1,404123,-1,21207,47600,-1,955372,-1,-1,551207,674062,-1,-1,-1,53021,-1,813712,978157,922001,-1,-1,-1,863420,765274,655307,971965,22483,566115,401545,-1,-1,894884,-1,-1,-1,279764,258476,49218,-1,-1,-1,158603,-1,361820,122524,942181,-1,499660,679412,-1,-1,-1,945528,-1,-1,-1,-1,569681,-1,-1,-1,-1,125296,478563,437959,774995,-1,-1,75746,-1,914663,43357,-1,-1,-1,-1,-1,-1,325802,280153,-1,886112,-1,-1,79687,-1,664751,651280,966849,491912,-1,419832,-1,-1,361443,110758,-1,647570,335096,-1,22368,115111,-1,763795,345165,-1,-1,-1,-1,-1,-1,-1,-1,-1,641776,119230,140957,298543,-1,-1,772715,-1,-1,-1,437047,-1,814610,995758,-1,205998,281675,521531,606954,-1,-1,148397,-1,255799,525920,755319,-1,-1,736237,171357,-1,-1,-1,-1,787132,423661,745357,444696,230566,803693,566728,441830,-1,300989,430771,-1,-1,-1,350021,-1,-1,-1,818918,556100,-1,-1,-1,-1,856700,374404,-1,-1,-1,-1,-1,-1,590945,494250,-1,48998,505379,828902,-1,286280,-1,-1,244221,-1,34086,176436,104392,454548,-1,-1,823386,7313,418618,737154,-1,-1,-1,306350,-1,974049,71335,-1,-1,764152,-1,249802,606416,682813,-1,-1,379052,-1,-1,48465,-1,-1,515585,-1,199946,-1,-1,-1,529242,-1,17877,256229,-1,810351,208329,-1,-1,-1,983346,-1,645942,238550,639210,-1,100961,867534,451220,-1,737747,845094,514929,297549,830008,358484,763439,-1,-1,-1,-1,994673,-1,791162,-1,446589,-1,459778,877778,-1,492523,740394,213800,-1,517571,94318,-1,545429,-1,-1,-1,-1,-1,-1,-1,-1,267239,262836,-1,82058,-1,-1,-1,578480,865647,179545,828412,952255,-1,878216,959906,961767,143194,-1,156472,-1,-1,-1,-1,-1,180802,937090,540738,-1,54237,678207,342344,-1,-1,-1,-1,118471,832559,-1,-1,431306,597100,-1,-1,942500,687058,926120,97350,215892,781286,663382,-1,809553,667071,-1,-1,491164,329748,-1,-1,-1,-1,790931,-1,257696,-1,865570,-1,903595,508550,798690,225457,-1,680402,773027,-1,670113,-1,-1,278304,-1,-1,192734,555020,33860,-1,823321,-1,254579,-1,503187,394119,670780,827042,982107,-1,204672,-1,744035,498545,33759,485234,293655,-1,-1,-1,-1,310272,103198,-1,480821,-1,-1,-1,-1,521044,-1,-1,826341,562271,130623,-1,-1,536346,928367,138334,6441,-1,-1,-1,-1,389358,707822,-1,246000,675393,-1,42260,-1,-1,508951,-1,125789,643673,-1,390431,746329,624255,-1,63716,-1,-1,987366,-1,-1,359647,873203,-1,-1,-1,-1,981486,-1,-1,737815,261126,-1,-1,772330,553708,568535,-1,-1,540131,-1,-1,248177,117371,37221,-1,92508,-1,670853,493955,-1,473767,975971,-1,149811,-1,-1,-1,-1,-1,556416,-1,-1,-1,290573,-1,927757,999078,654044,-1,626625,854791,-1,197155,-1,439529,821436,472503,-1,305085,64022,946836,3163,906207,-1,281805,560429,788942,218881,616447,-1,-1,680623,935387,437497,776916,-1,-1,229016,-1,524602,561344,-1,950569,896213,-1,27014,895105,584035,982299,-1,419753,-1,493357,449394,743757,29107,-1,568014,-1,-1,-1,195901,435275,871034,519179,-1,239721,-1,-1,-1,-1,286878,646277,136074,-1,231223,849784,554891,-1,675463,71509,-1,358082,-1,-1,862254,692644,-1,-1,495616,-1,133636,-1,216770,69640,920854,-1,-1,-1,-1,879576,810035,-1,178876,-1,-1,212421,342711,-1,-1,553995,927904,-1,280149,-1,371287,572534,536560,14228,131807,90319,-1,364262,170431,813067,-1,-1,-1,35533,-1,-1,-1,-1,-1,863366,-1,-1,361798,-1,-1,-1,-1,360337,-1,413211,40793,464512,-1,149577,40273,-1,375884,474170,-1,921482,755307,292614,601126,-1,266138,-1,471728,-1,701419,839945,-1,98808,-1,400569,-1,643323,739403,177348,975984,-1,-1,-1,725953,278404,433046,579964,-1,-1,-1,-1,-1,350847,-1,536934,-1,-1,-1,-1,875562,-1,-1,293651,-1,-1,26535,165332,813485,84767,-1,365266,617635,-1,473017,-1,947197,859152,948126,-1,766287,217733,529997,97572,747803,864053,-1,814431,508370,465843,215675,555643,-1,-1,-1,-1,840732,-1,629536,511066,-1,804701,-1,632572,-1,-1,-1,994396,-1,-1,-1,-1,-1,-1,-1,-1,276981,391749,121563,572555,-1,592204,-1,484177,333743,875949,956710,525683,742659,-1,-1,-1,221934,814563,224984,91722,-1,113821,-1,350446,-1,-1,-1,-1,-1,-1,906808,-1,-1,851471,158859,-1,-1,468898,-1,-1,-1,56522,635194,806977,-1,-1,426040,-1,43506,684341,70173,-1,-1,502416,-1,307788,821821,-1,-1,996828,-1,-1,64385,361219,878245,-1,514871,473688,-1,811693,440008,31344,-1,-1,348130,210249,945318,465337,472894,-1,-1,101418,-1,-1,-1,807410,502321,361274,-1,-1,-1,176251,-1,620473,-1,-1,204512,-1,450278,-1,744518,413337,-1,262653,-1,-1,-1,-1,352136,648162,-1,858287,489797,-1,113686,563620,-1,-1,901800,-1,594854,931769,638507,-1,225964,133638,-1,-1,-1,-1,702483,659352,847944,-1,-1,-1,-1,652370,428902,308391,443727,150083,228678,-1,275188,-1,46157,-1,-1,-1,720491,-1,-1,-1,-1,574002,775513,807680,-1,-1,519541,139333,-1,-1,642104,-1,-1,-1,-1,604125,-1,-1,722990,-1,393099,-1,876804,-1,-1,414421,821839,880074,210010,-1,880908,956759,-1,-1,748377,-1,-1,-1,767945,572307,469524,550605,-1,654090,831860,-1,966925,-1,734866,146117,-1,828044,-1,-1,511928,388681,-1,454444,-1,-1,150987,475419,821910,733954,-1,-1,529530,-1,330774,894493,497953,-1,-1,-1,-1,-1,-1,-1,-1,658307,-1,-1,134328,760595,832626,-1,69577,-1,-1,294285,446603,492729,-1,-1,-1,539336,240241,-1,347179,333578,-1,-1,-1,839199,883155,728647,559562,-1,-1,159303,-1,-1,943989,-1,-1,-1,-1,566438,-1,-1,-1,284447,-1,-1,-1,-1,27473,-1,-1,276979,-1,820404,633612,-1,-1,-1,208456,-1,306272,962344,-1,986991,747603,616313,-1,-1,682963,-1,212452,-1,-1,13550,-1,-1,-1,235870,-1,362921,-1,299557,289596,-1,-1,-1,-1,-1,175155,418356,757283,126609,949814,984964,-1,482708,933686,409600,-1,-1,873265,422348,-1,58103,-1,20604,961401,-1,545931,-1,-1,-1,-1,-1,847301,228783,205759,-1,-1,832951,331605,978165,-1,534158,974188,974318,-1,879238,-1,99346,632635,-1,2679,-1,330650,-1,876597,658502,799767,-1,-1,-1,162786,491723,537158,813376,-1,193164,-1,-1,391641,574514,-1,529462,776574,574998,-1,429914,872340,832644,-1,404431,-1,944316,550310,485120,-1,197579,707314,641482,-1,-1,-1,-1,679067,575128,-1,938626,-1,321196,321458,381126,871621,-1,231497,-1,-1,-1,440271,996271,337856,-1,-1,-1,-1,683525,473122,887260,-1,-1,-1,667117,-1,-1,-1,792617,802171,-1,-1,664252,304288,-1,-1,-1,760574,-1,-1,855505,-1,-1,-1,-1,453163,655520,570284,-1,-1,-1,-1,-1,544387,-1,-1,528040,-1,167966,-1,-1,-1,-1,718394,386976,-1,-1,842636,564532,-1,625231,399801,-1,995329,-1,865676,471815,628782,689631,408093,-1,100415,627500,82697,-1,388131,729765,-1,-1,-1,95207,-1,572227,-1,307434,271734,-1,64368,424455,-1,-1,-1,-1,942121,-1,848164,812766,-1,-1,-1,-1,-1,51835,570594,82516,581958,-1,51749,604615,-1,531965,-1,420678,-1,-1,362372,345430,106337,-1,-1,910687,-1,595170,779078,354560,765700,-1,-1,-1,873811,-1,824443,-1,516572,-1,-1,59966,-1,939721,-1,-1,-1,-1,-1,631173,614618,-1,875796,855456,992811,-1,467675,-1,-1,-1,930234,-1,-1,-1,762797,462381,5712,782066,345041,-1,-1,-1,-1,859072,857587,-1,-1,-1,-1,968096,216798,951217,235680,109689,968990,919422,-1,-1,-1,-1,-1,593372,188845,285140,-1,-1,63889,-1,-1,-1,920433,813544,-1,-1,-1,-1,624258,674098,-1,-1,-1,976632,-1,-1,30048,-1,-1,608204,-1,-1,-1,831909,961177,-1,-1,-1,-1,708045,-1,451117,-1,527512,353866,-1,-1,244363,178340,-1,-1,861367,-1,-1,746277,21478,-1,675251,571850,-1,619855,763900,-1,821559,580530,-1,-1,37579,753271,-1,-1,-1,-1,-1,336910,-1,103092,-1,-1,-1,914504,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,893156,-1,-1,192471,139864,464590,-1,-1,-1,-1,-1,-1,352615,947369,-1,949854,430910,-1,648267,-1,-1,-1,-1,-1,-1,611062,-1,883396,-1,833268,-1,196296,293718,916636,675312,39923,-1,18801,657975,-1,-1,-1,-1,-1,147728,-1,-1,252193,143927,-1,-1,-1,-1,153900,-1,-1,-1,480731,-1,78998,213906,-1,47267,-1,-1,104092,528455,-1,-1,-1,-1,599082,779688,-1,-1,-1,-1,803805,-1,-1,-1,655840,933676,736862,-1,-1,84581,101139,-1,227684,-1,-1,-1,-1,-1,656235,-1,280431,704012,-1,-1,-1,785083,-1,-1,812498,-1,704446,-1,-1,952956,-1,952547,211467,-1,261116,431240,334620,-1,-1,-1,613442,779687,110279,-1,-1,932792,-1,636437,-1,-1,699068,-1,-1,152544,-1,-1,171091,211870,-1,-1,6938,-1,-1,74627,-1,-1,452026,18895,837042,244545,-1,-1,-1,369629,619508,306629,605669,887957,-1,521814,-1,242299,-1,858885,-1,773854,54510,-1,276040,862753,512030,301576,799882,727118,187542,310630,-1,375255,-1,168213,271137,466863,160096,161789,-1,427603,932380,403670,-1,168632,-1,73635,652495,24141,-1,-1,370401,-1,-1,-1,-1,-1,-1,-1,-1,-1,782104,-1,20590,-1,297707,-1,930710,2488,-1,-1,424715,-1,790388,573053,-1,-1,188588,-1,-1,186089,230022,32467,-1,-1,-1,912851,-1,787121,-1,13236,1293,-1,-1,-1,105988,-1,143760,-1,558793,-1,-1,524603,-1,630603,-1,-1,-1,515152,438284,-1,207337,274278,-1,564251,-1,-1,97576,-1,587048,-1,139031,-1,859897,-1,59330,948551,105581,914558,950505,-1,945462,-1,21411,-1,573445,-1,556562,-1,116387,-1,-1,-1,224968,919890,-1,289068,-1,-1,-1,557994,-1,656704,-1,-1,-1,49840,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,270356,-1,-1,877684,266288,291541,-1,-1,-1,421926,251460,175920,10262,842067,401201,-1,-1,267219,47803,746622,-1,308996,260218,665021,732500,413908,992158,661960,-1,929164,310114,281832,110022,465884,-1,207082,-1,3169,303819,-1,-1,-1,45032,-1,-1,-1,-1,-1,-1,-1,-1,181628,696338,-1,877852,-1,-1,-1,795271,123045,293242,814213,871949,-1,724929,972814,941023,385518,-1,-1,-1,-1,457908,-1,-1,123346,-1,-1,663918,500576,-1,811948,7195,-1,633212,-1,22342,679224,-1,-1,-1,891416,413070,-1,415146,-1,-1,-1,561352,-1,457611,97226,-1,-1,244601,-1,-1,580171,-1,958160,-1,248374,-1,406688,200636,869381,-1,-1,-1,223707,-1,288392,562368,-1,410909,336279,-1,-1,-1,-1,-1,943767,-1,-1,-1,-1,-1,400875,-1,369426,-1,118253,-1,-1,333426,590630,-1,-1,-1,296373,-1,462637,-1,-1,746134,-1,-1,357936,-1,-1,-1,798203,491313,130695,-1,2106,410497,-1,432416,270287,137022,-1,-1,-1,597425,-1,-1,239093,-1,-1,16276,-1,997602,-1,-1,101150,929061,796471,560778,915557,-1,182769,337609,168015,245137,-1,743029,-1,-1,-1,-1,683109,-1,188494,210711,-1,-1,825909,-1,684078,746628,857474,-1,631086,452142,104609,658080,-1,129500,68331,269379,-1,-1,-1,-1,520596,918654,752664,462261,529771,106096,39452,890661,310797,-1,411011,-1,931269,-1,393392,-1,-1,-1,138240,-1,-1,-1,-1,637551,368379,-1,870755,-1,-1,-1,487879,-1,-1,-1,-1,169429,-1,582830,-1,675793,577709,967164,-1,-1,638222,926424,6069,-1,-1,-1,902488,849707,-1,-1,514788,827251,180911,564058,877242,888350,905800,-1,-1,-1,-1,610841,-1,937071,822478,-1,-1,54358,722338,856570,771780,114682,-1,-1,568570,-1,-1,-1,-1,-1,86833,115833,-1,-1,-1,-1,569317,213783,-1,-1,763636,415353,-1,-1,-1,339357,-1,557579,-1,-1,-1,760553,-1,670409,-1,890215,-1,16693,251751,410728,-1,240736,-1,-1,-1,-1,336960,226520,900424,-1,393839,-1,8014,53182,-1,220781,336850,-1,536805,-1,555960,-1,42270,168217,-1,-1,256645,328774,-1,-1,60984,-1,16166,-1,-1,-1,686123,168669,-1,-1,-1,-1,-1,127868,926541,-1,-1,422638,-1,-1,-1,563756,18772,-1,894315,313541,778942,-1,627714,760898,-1,892208,116280,182623,-1,960112,808494,205938,489357,-1,224598,329559,-1,426114,468234,579448,669546,547374,271281,278632,-1,-1,155317,679017,321303,510318,133210,670420,-1,953900,700978,-1,903900,855101,-1,-1,399308,893268,944475,-1,234439,468521,-1,-1,955642,-1,-1,327249,763697,-1,495752,-1,268074,935452,-1,427730,-1,576800,246216,-1,759148,-1,-1,139934,182301,-1,-1,-1,-1,-1,72956,493960,-1,523447,-1,355803,-1,998996,788642,143622,-1,-1,758830,-1,701194,378688,556256,319125,276644,-1,-1,910355,-1,-1,607458,-1,-1,-1,-1,-1,-1,843759,782885,-1,-1,-1,-1,-1,-1,-1,-1,697438,558205,761039,-1,844287,520800,906642,173261,-1,-1,-1,477888,226096,240645,-1,-1,-1,221298,782717,817447,-1,-1,848307,765095,-1,653826,-1,-1,805759,-1,-1,309021,122643,395181,627341,-1,-1,303852,852399,-1,13748,40409,305345,754002,-1,-1,-1,-1,694659,438845,471227,-1,167066,422815,459508,-1,-1,-1,640076,-1,661945,-1,-1,111712,543148,924740,636476,-1,678937,283636,-1,-1,-1,-1,-1,-1,433233,556767,155316,-1,-1,891765,542305,-1,392473,-1,-1,-1,900540,35412,-1,483788,-1,513955,-1,609793,944069,582424,-1,-1,-1,702720,579028,-1,332288,129907,-1,610221,60970,-1,-1,582876,-1,-1,-1,340406,406174,742212,-1,-1,-1,331884,-1,491472,-1,-1,19847,-1,-1,774921,-1,180783,500251,758223,-1,640718,-1,-1,-1,244708,-1,-1,-1,34383,-1,-1,572957,-1,804313,681900,783727,238803,-1,485960,-1,-1,993688,574289,-1,-1,-1,-1,-1,165192,-1,233445,-1,-1,-1,-1,589254,-1,550320,435747,-1,-1,-1,-1,184695,731344,-1,575507,-1,-1,907461,545175,-1,-1,294423,-1,-1,-1,232143,71920,-1,843333,910247,947994,527293,-1,-1,-1,184935,145591,265640,-1,-1,-1,-1,902700,-1,-1,-1,-1,-1,721124,-1,-1,381953,784705,762978,-1,-1,70637,870152,-1,-1,-1,964292,650105,-1,808116,884424,56946,669037,-1,894658,-1,129432,-1,129563,583406,158464,966723,-1,919098,-1,-1,519013,-1,530761,259014,-1,402746,41802,42163,385552,169565,322404,-1,-1,644735,296303,861220,799002,-1,-1,-1,-1,198667,566267,416475,304990,632026,-1,-1,936425,-1,-1,-1,813956,790069,-1,-1,-1,792217,386468,123475,-1,-1,-1,277854,-1,325873,828460,-1,349927,-1,817750,748251,-1,-1,-1,-1,-1,383853,101630,-1,740386,82133,951967,-1,-1,-1,989660,887129,-1,846702,11553,111437,-1,875,757721,704230,512108,-1,-1,-1,828359,-1,846613,-1,789213,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,339664,-1,751000,587069,365071,-1,605250,-1,-1,211924,492930,684888,-1,-1,562922,-1,-1,-1,591739,490670,-1,136870,293259,-1,196524,-1,826953,-1,107984,723688,-1,-1,214561,-1,-1,532258,-1,-1,-1,-1,337809,-1,780656,-1,942164,-1,465476,-1,652102,407648,-1,177106,-1,-1,-1,78184,-1,-1,-1,311652,-1,96893,887714,-1,-1,-1,-1,-1,521704,871631,12681,78512,-1,256549,-1,-1,897707,577023,-1,-1,-1,36479,325749,-1,-1,-1,651008,-1,-1,-1,310628,-1,-1,213617,955308,360349,-1,549564,-1,-1,-1,157980,-1,886970,253862,-1,350718,-1,872179,-1,-1,718769,-1,620215,418169,-1,679786,604752,591233,-1,-1,-1,-1,500744,-1,-1,842431,-1,996256,542855,708055,786633,353501,534134,862304,961283,686113,656491,-1,722035,522792,549431,88339,-1,207993,158415,-1,543244,-1,671877,-1,-1,-1,749488,-1,-1,-1,-1,-1,199024,467871,199450,-1,274225,963551,922262,432520,723451,762381,508998,-1,-1,414947,-1,199615,-1,-1,219049,-1,252815,-1,-1,-1,908467,351873,-1,351646,501606,-1,195011,-1,577098,-1,455598,146024,-1,920320,-1,866641,277892,-1,-1,461710,-1,-1,-1,614913,-1,909758,512421,-1,-1,-1,-1,745068,981623,-1,513652,-1,-1,-1,-1,107436,-1,-1,-1,660967,831934,-1,387419,-1,-1,-1,739468,280236,466763,218366,436375,76421,365816,725236,-1,-1,226408,146945,63915,-1,-1,-1,-1,123555,-1,705217,133544,536178,525797,504586,-1,875006,-1,531439,-1,351270,-1,346296,-1,-1,-1,390314,-1,-1,459742,567036,124187,-1,-1,-1,-1,-1,-1,690469,-1,-1,443477,95412,580349,105173,48412,167350,-1,395531,710007,562865,-1,-1,580067,-1,128081,-1,-1,313756,-1,-1,-1,-1,-1,315000,621067,-1,-1,21009,-1,-1,-1,-1,-1,749182,509797,439892,-1,621430,-1,743229,-1,-1,543382,-1,616382,-1,-1,-1,-1,777758,916130,939019,-1,-1,18755,493222,88127,193665,637802,475897,-1,499842,-1,899031,-1,-1,286717,32297,-1,-1,-1,-1,157785,-1,370906,-1,605543,-1,-1,623474,-1,-1,715792,-1,-1,153782,952943,-1,-1,-1,423570,-1,142193,-1,-1,-1,209117,-1,970674,578782,634504,-1,-1,-1,946228,-1,569361,543523,-1,-1,-1,-1,954253,376066,701945,-1,-1,-1,398061,-1,-1,252068,561512,-1,450403,132080,863761,-1,-1,-1,834428,-1,-1,175923,-1,-1,466581,-1,-1,-1,482512,692488,-1,17633,-1,-1,-1,-1,-1,917576,-1,234963,-1,154987,153222,-1,619684,115930,-1,146790,24633,-1,211690,-1,-1,-1,-1,633873,64666,-1,535886,727967,168735,-1,759470,-1,-1,761853,773818,-1,-1,482933,-1,-1,104197,-1,-1,983192,759149,-1,110678,-1,439775,-1,-1,-1,-1,-1,943482,-1,718901,-1,-1,71762,252858,8275,757729,286951,-1,28780,283593,125230,-1,-1,-1,616384,-1,777381,-1,498173,518884,-1,542154,-1,-1,253249,205595,-1,971407,685259,986155,828060,-1,265161,-1,177776,451556,960582,-1,940713,-1,-1,781117,775886,-1,-1,797250,476225,-1,19562,-1,-1,-1,529876,955460,142138,-1,-1,551606,-1,-1,646358,801271,-1,-1,535325,-1,-1,235728,832065,-1,-1,-1,-1,376213,-1,210976,618973,365857,183800,-1,-1,621476,935391,597654,-1,-1,125247,838109,-1,748352,-1,-1,-1,-1,352242,296019,-1,287419,801270,-1,905337,-1,-1,21246,464941,-1,-1,266379,541979,-1,680553,355818,328993,-1,265024,194293,411221,853953,363767,974607,-1,-1,-1,802680,605614,712096,-1,-1,-1,-1,-1,-1,94100,-1,916369,-1,829710,356438,-1,-1,128420,511914,933507,724203,-1,968234,856543,714734,512830,837627,-1,64371,-1,741697,-1,824981,976670,867365,34649,-1,200221,560330,418876,-1,53510,816806,385451,-1,751919,77368,977548,715846,411933,329996,-1,-1,-1,-1,992369,522061,-1,-1,385572,-1,-1,507191,-1,807595,-1,-1,283479,417455,-1,979705,485509,-1,-1,476584,-1,-1,-1,-1,762564,-1,74840,-1,1839,467080,247687,605429,-1,691208,200846,793175,428887,97026,-1,206149,46269,-1,-1,-1,-1,-1,655212,46614,-1,-1,-1,-1,688493,-1,-1,-1,-1,-1,945674,-1,-1,-1,970097,168192,87435,558100,-1,905276,259139,108082,-1,954430,787562,-1,-1,852358,-1,445594,601235,944572,-1,728321,154285,912894,-1,277114,679663,-1,-1,730578,44282,482392,-1,421176,-1,-1,-1,22074,317701,-1,396287,448985,-1,806202,-1,726244,566311,-1,713499,754245,25316,-1,467951,-1,-1,930947,-1,-1,380732,-1,-1,-1,-1,393427,-1,282453,-1,-1,-1,491370,491759,668890,-1,163139,-1,214514,-1,-1,-1,-1,686467,847207,63027,-1,757390,-1,878941,-1,371927,-1,-1,-1,591064,-1,216367,-1,598597,-1,-1,746353,-1,625356,658851,934233,-1,985959,76463,-1,-1,-1,753595,718959,471667,183277,-1,263550,-1,670766,-1,-1,806665,885619,-1,-1,442708,-1,-1,890950,-1,-1,-1,-1,808826,-1,105698,28907,-1,232958,405762,-1,235729,566522,479936,433683,-1,797636,-1,758356,-1,137259,-1,-1,952345,-1,215653,-1,-1,-1,-1,439330,-1,654271,270780,155293,501323,-1,401174,-1,-1,-1,220277,-1,617279,502409,-1,-1,-1,-1,605138,866929,-1,716476,-1,-1,942622,-1,-1,222960,-1,-1,-1,-1,69216,553003,-1,678616,630720,281672,432648,643484,698797,-1,536987,358252,-1,-1,-1,-1,467031,790957,359361,-1,-1,823855,-1,-1,-1,100688,226053,-1,46374,-1,63311,504597,849063,237665,797775,-1,316274,535926,-1,771849,-1,950017,-1,-1,-1,-1,-1,566879,-1,386056,686648,555461,-1,-1,-1,-1,52896,456509,-1,612740,-1,-1,652751,-1,551436,711818,686540,710535,330600,590984,102868,984202,-1,291002,-1,-1,-1,2596,540502,-1,-1,848095,908262,-1,898902,360406,448079,-1,438695,357801,-1,-1,-1,-1,136316,401828,-1,-1,838055,527585,-1,-1,-1,788127,-1,-1,-1,451647,294069,-1,339482,-1,203355,321301,135795,951590,116198,316854,-1,-1,651091,727414,-1,-1,396882,-1,-1,-1,402431,228938,-1,-1,-1,-1,654448,470304,-1,664092,768814,-1,-1,-1,107951,143126,128636,688876,402435,-1,-1,550190,70257,360340,-1,-1,-1,105974,-1,-1,758706,220486,551006,-1,721361,668241,706878,-1,99203,357685,367359,285173,855797,-1,33285,-1,436165,-1,450371,670355,759819,-1,891870,791988,966876,-1,401257,71098,-1,533245,92617,427951,967633,739793,-1,-1,-1,955788,230857,284650,107077,-1,708143,-1,553454,-1,637961,-1,263117,-1,-1,-1,979074,-1,239802,645647,111697,268048,-1,-1,-1,-1,-1,-1,-1,-1,-1,114092,47721,-1,-1,-1,-1,714813,387853,421832,-1,-1,-1,-1,890440,-1,-1,-1,657863,948214,519436,-1,959877,272954,560118,501709,-1,153445,-1,-1,-1,-1,81410,-1,-1,-1,763921,822598,-1,-1,481522,347699,732049,550048,2320,-1,218324,8800,875081,390333,-1,518369,-1,-1,-1,-1,-1,541992,894644,-1,-1,840051,-1,340672,24208,-1,98862,369984,545308,-1,745422,573409,852574,522157,-1,477085,624057,-1,-1,970441,-1,-1,-1,388058,59007,-1,-1,655764,-1,-1,989225,246650,600424,-1,956564,-1,555584,635720,839584,-1,-1,-1,-1,-1,367859,695419,445381,933971,288360,-1,-1,210674,-1,-1,-1,33514,8906,-1,841350,904634,923561,-1,962348,437111,120941,-1,-1,-1,-1,-1,-1,704360,429222,-1,343147,756391,493166,-1,657749,-1,-1,-1,63690,63881,-1,-1,139261,347079,-1,719852,-1,-1,386050,314201,-1,-1,711661,-1,609627,489951,394781,-1,10245,481196,-1,-1,-1,-1,-1,172865,980646,-1,-1,-1,168347,-1,759497,217350,-1,128705,564454,-1,304959,-1,-1,134663,883912,365093,-1,-1,47223,848989,955993,652674,-1,-1,-1,-1,218157,-1,657420,-1,813622,289089,832796,242205,289908,452314,-1,324132,-1,314584,-1,231604,936855,-1,-1,-1,853868,567364,340166,268966,-1,784432,-1,-1,808554,-1,-1,788745,233249,-1,673083,-1,162677,-1,-1,383049,806079,-1,683833,-1,301711,997584,560828,-1,-1,503901,111246,402160,-1,743315,-1,-1,-1,-1,173212,-1,-1,-1,-1,812915,-1,902013,-1,775274,-1,947373,316770,96156,66578,-1,-1,337036,-1,917898,-1,280309,474652,-1,-1,249044,-1,-1,989812,-1,-1,530570,624163,-1,756385,632151,-1,-1,-1,607936,-1,987223,-1,995975,-1,-1,625392,-1,479848,-1,-1,-1,46490,835243,889972,791170,815132,87372,45682,-1,347565,145334,468671,-1,-1,-1,738619,-1,648523,492634,-1,230014,98711,278224,726956,605261,-1,812043,51027,-1,-1,893824,-1,-1,10053,319901,-1,-1,716973,-1,218682,630553,838157,-1,-1,403590,-1,3901,101331,493991,160258,542035,-1,626997,631483,-1,-1,-1,-1,755370,-1,-1,756894,68515,690441,-1,-1,167413,437793,2046,948860,-1,-1,184783,-1,161723,-1,-1,-1,-1,625086,96604,-1,-1,831950,370886,-1,-1,399399,761150,160203,574090,511656,-1,444070,842502,43087,-1,-1,585039,-1,-1,398202,-1,-1,-1,18429,-1,255270,-1,-1,-1,439438,-1,903897,-1,-1,251141,-1,-1,487783,-1,209667,251786,56650,716055,-1,-1,378514,428021,-1,-1,111107,-1,619349,-1,606508,-1,-1,-1,-1,-1,-1,-1,411270,-1,101952,119016,-1,-1,25999,-1,-1,-1,793278,693630,-1,-1,955661,-1,388822,-1,-1,338207,-1,925237,-1,-1,-1,-1,393308,98436,-1,-1,-1,301618,-1,203912,795398,-1,763049,-1,-1,48119,-1,-1,-1,423546,-1,-1,-1,209143,-1,40355,-1,248560,-1,-1,-1,654135,-1,-1,-1,685080,-1,-1,34002,-1,265711,527508,847223,626070,393250,357152,261830,-1,-1,-1,413771,-1,92177,-1,-1,-1,972499,-1,478157,896137,-1,992789,-1,38028,-1,143029,321978,-1,-1,-1,-1,400954,140602,-1,28061,94201,483086,-1,-1,-1,-1,-1,271500,-1,16491,365150,-1,-1,144819,-1,216490,990574,246830,-1,-1,-1,679488,-1,338748,-1,901077,667435,-1,302586,-1,414227,-1,-1,496520,357641,758318,-1,-1,-1,289829,-1,-1,-1,924982,-1,487860,-1,-1,-1,980528,397297,-1,245545,405173,-1,-1,-1,-1,-1,-1,-1,-1,961545,192355,617937,648101,-1,834499,781768,207221,238030,869739,703391,-1,32357,962949,802890,577565,-1,-1,721592,772229,253964,827810,442434,-1,-1,664722,-1,-1,-1,-1,-1,917856,-1,-1,19752,392415,813368,811270,534566,-1,616,515929,-1,56232,598413,-1,-1,366916,-1,-1,382066,481109,857591,-1,23606,112992,-1,451744,-1,-1,966199,482686,799864,960007,-1,563498,709888,-1,-1,992721,486329,-1,-1,467128,499902,103873,238360,175974,132228,-1,533082,-1,-1,-1,128941,931838,377437,208600,668997,-1,187662,-1,-1,417391,897496,-1,-1,-1,-1,-1,-1,197139,776213,-1,736065,-1,285704,23,-1,-1,-1,162889,179595,-1,200758,-1,-1,-1,-1,-1,206477,-1,-1,-1,64543,513441,-1,-1,-1,332845,-1,925380,-1,-1,-1,-1,-1,-1,681039,-1,-1,-1,578506,626610,906545,-1,-1,-1,-1,194124,678332,637662,149373,-1,153807,-1,-1,825866,112283,818289,-1,179417,-1,-1,-1,110730,121640,-1,-1,-1,-1,545980,-1,335055,-1,610812,-1,263277,-1,-1,33363,915317,-1,943550,-1,155281,708991,378186,-1,-1,773056,698896,619082,-1,54544,202523,-1,-1,46182,422339,-1,-1,-1,357542,866147,-1,614790,529950,-1,986369,-1,539788,828687,916720,901749,-1,-1,778044,884268,295115,777855,-1,905635,-1,-1,-1,-1,-1,392717,982923,715431,748390,-1,-1,154275,761650,-1,394835,741679,-1,46280,-1,513413,-1,415602,-1,-1,588914,358292,-1,-1,-1,-1,344688,387766,543646,-1,-1,991612,-1,696408,-1,-1,39581,-1,-1,713950,-1,-1,-1,47338,273085,101433,-1,-1,-1,-1,623348,-1,-1,665568,502747,505539,268595,337563,-1,953053,303240,-1,744223,-1,-1,262756,-1,-1,960446,-1,-1,463749,-1,260728,82111,-1,225609,359705,-1,-1,-1,880388,-1,-1,-1,-1,574512,623367,-1,-1,643319,-1,-1,494730,108100,-1,-1,350329,-1,-1,138705,468126,347018,-1,-1,-1,385167,-1,314349,950145,-1,-1,-1,-1,-1,-1,526491,-1,472816,-1,-1,-1,516395,-1,264500,791177,-1,103768,101609,814879,527858,890356,292039,-1,-1,767451,-1,231587,-1,-1,-1,901825,-1,643375,856920,-1,-1,308603,88730,447960,-1,-1,-1,-1,660013,-1,-1,919152,915422,-1,991793,526860,-1,-1,-1,435523,540513,-1,-1,-1,-1,-1,-1,-1,733203,-1,-1,785219,899291,848716,532222,-1,138887,148541,-1,617534,-1,-1,-1,585322,-1,63663,307089,807716,-1,-1,-1,113553,233138,-1,49234,-1,647610,571962,-1,-1,-1,347230,948908,-1,693318,-1,-1,-1,-1,-1,-1,-1,678510,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,355504,-1,-1,688799,-1,-1,582825,846334,-1,402875,748649,486601,-1,-1,578916,-1,-1,-1,-1,856354,-1,975059,755811,289599,617683,-1,-1,802927,603823,22716,-1,797119,146210,695402,-1,-1,-1,763263,-1,-1,-1,-1,362915,332344,-1,135672,961579,-1,-1,856124,140802,152861,86015,-1,-1,-1,549364,244726,-1,-1,-1,-1,-1,992766,-1,-1,-1,566974,-1,-1,-1,-1,-1,-1,9066,-1,572225,-1,-1,-1,-1,91720,-1,377316,-1,467997,902975,372533,740393,-1,-1,150404,36629,920653,-1,91937,-1,-1,607844,676841,-1,-1,284741,786772,-1,-1,-1,961691,-1,-1,262427,-1,-1,948654,30255,-1,106940,468784,587594,-1,-1,-1,266457,24001,790554,100517,-1,383050,289442,908234,-1,-1,904167,20956,-1,-1,-1,-1,-1,941217,684,-1,983000,275548,-1,-1,756287,970209,410264,796685,-1,97697,-1,146971,-1,-1,367673,321884,-1,186298,-1,936984,443133,952238,888517,-1,697911,792007,940955,328878,-1,502784,255136,556096,507700,960001,531068,659335,605577,597424,580625,-1,408122,308271,41580,225575,918496,-1,971667,-1,46443,-1,-1,-1,274747,-1,-1,-1,-1,-1,-1,874884,-1,496904,323799,749615,138797,288258,255506,50639,-1,599472,473599,579472,-1,876138,-1,-1,-1,477622,275737,689957,-1,-1,-1,-1,-1,803808,599148,-1,215251,-1,-1,555908,350253,737695,286264,396731,-1,-1,492980,296287,437636,884254,-1,163310,-1,-1,-1,651516,-1,642512,671815,-1,733441,800370,-1,312917,-1,-1,451959,-1,429516,261182,-1,-1,-1,616867,100036,-1,-1,-1,-1,-1,520380,606808,-1,250153,-1,16076,-1,989959,-1,865145,-1,50427,918941,-1,853015,-1,362811,440375,748421,-1,37427,-1,-1,-1,-1,-1,878179,188196,-1,-1,-1,-1,-1,182570,934332,-1,-1,-1,-1,469200,-1,858032,-1,891540,-1,607481,35091,56783,694518,30818,512384,607842,-1,-1,857296,-1,105350,-1,943092,-1,-1,265277,-1,-1,183177,761552,-1,904456,-1,-1,442545,-1,730675,160253,278005,148277,-1,-1,727479,-1,643586,-1,936745,-1,124851,934228,236118,-1,-1,987500,748167,-1,-1,-1,913966,567887,210876,160484,218685,-1,-1,-1,560793,832494,992577,35632,-1,733373,-1,287590,53623,-1,-1,-1,62904,848467,519483,-1,-1,-1,-1,871996,994335,-1,-1,-1,-1,258889,-1,-1,996699,234811,-1,806842,638046,56707,487359,-1,-1,-1,-1,-1,574645,-1,-1,166302,-1,-1,796305,-1,709452,534035,353610,-1,-1,-1,528439,93068,861194,502758,305148,691906,393278,912352,-1,578460,81428,-1,-1,-1,487892,-1,-1,968567,-1,-1,695961,777615,-1,153057,588468,588741,865926,-1,608481,487607,267327,-1,-1,-1,-1,-1,-1,286102,-1,-1,-1,422969,-1,-1,330040,457653,-1,761013,690210,864871,573348,-1,-1,514913,902662,-1,11158,29767,531230,673855,-1,-1,902690,-1,-1,-1,-1,245516,-1,900119,-1,801749,296536,-1,317031,754472,-1,49838,-1,615403,844497,328867,680552,-1,-1,-1,-1,-1,-1,423316,412287,374340,280286,730117,918338,427803,672242,109340,401177,383550,268484,-1,124673,-1,969330,562918,-1,-1,-1,367852,-1,377498,631739,252219,704205,37430,920770,-1,-1,-1,-1,-1,-1,808125,262405,-1,511214,598409,382208,-1,-1,956356,-1,729952,-1,-1,898524,917336,451009,-1,-1,-1,-1,-1,-1,-1,390161,-1,-1,720317,111725,-1,-1,-1,358716,-1,-1,-1,-1,-1,747659,-1,700604,-1,-1,51904,840015,-1,-1,-1,-1,375441,-1,167154,690679,-1,-1,-1,214184,-1,-1,-1,-1,395042,-1,-1,-1,-1,939652,-1,252223,921896,143634,687399,-1,-1,-1,76762,-1,73376,507176,-1,-1,630062,-1,547278,3336,-1,622881,-1,969751,394320,633497,515704,218866,-1,-1,-1,373546,-1,-1,-1,-1,-1,734216,352647,-1,762698,850567,458024,95268,-1,455437,770055,-1,659579,-1,-1,-1,342155,275934,130175,-1,-1,-1,-1,-1,200873,29733,-1,796449,799350,939416,-1,641356,321066,-1,-1,-1,-1,-1,810731,967000,-1,-1,339060,139515,-1,-1,-1,22499,-1,652887,413797,995664,610899,-1,855577,-1,-1,431476,-1,-1,-1,-1,854462,-1,563864,839740,-1,631090,-1,609826,593328,-1,203285,-1,598080,609628,948592,779554,-1,828066,-1,-1,634104,196001,376995,-1,-1,-1,-1,-1,-1,-1,640047,467728,842935,-1,-1,-1,-1,181900,322377,-1,-1,-1,456389,-1,961856,-1,-1,-1,-1,695246,905036,-1,499114,-1,120376,-1,27805,90884,-1,-1,-1,-1,588097,-1,888650,-1,-1,-1,-1,495758,-1,61006,819145,707212,-1,508233,275812,740138,447929,-1,-1,936382,-1,-1,-1,667210,909552,-1,878991,916583,845362,-1,-1,969490,151705,-1,-1,-1,944735,411806,-1,916115,692249,-1,-1,-1,144812,-1,-1,348603,267070,-1,807727,806955,109408,279109,449775,-1,638489,424475,-1,-1,-1,642082,389735,378702,-1,887388,853138,-1,620230,654412,714407,-1,338909,402670,-1,766473,492381,-1,14184,-1,879956,-1,956030,884290,-1,250652,-1,89226,-1,-1,445893,-1,208551,-1,-1,8415,626744,672277,645091,466202,-1,650091,261108,-1,-1,-1,-1,932459,895942,269163,-1,-1,430187,-1,898501,659496,141408,728498,914718,-1,-1,319018,10251,-1,-1,649055,548742,-1,-1,-1,431751,557936,908970,-1,865497,-1,785999,-1,809287,-1,-1,848638,191888,-1,-1,584427,-1,-1,-1,96602,-1,195093,892660,576243,448990,-1,945857,-1,-1,169948,594742,-1,406476,798056,48467,533869,895017,-1,-1,565859,536086,-1,863287,973937,820962,-1,-1,-1,685962,700057,-1,464464,342554,-1,-1,-1,-1,414415,-1,279835,-1,-1,-1,-1,-1,811676,503616,-1,-1,672366,-1,-1,884028,413815,605463,342594,910336,-1,472553,-1,-1,-1,241546,490144,631307,-1,271457,-1,-1,971527,-1,-1,-1,-1,-1,945295,981110,-1,-1,962107,-1,126087,532505,-1,-1,-1,-1,946146,-1,245244,-1,503817,55531,-1,330466,982104,-1,-1,436994,-1,646076,-1,967763,-1,385251,566631,-1,-1,-1,290298,901361,-1,-1,-1,866253,447194,404930,-1,-1,-1,41806,280008,530737,639803,605733,829609,186892,-1,382561,-1,310541,-1,654600,-1,597113,825686,-1,-1,-1,-1,544581,55113,723775,-1,424353,-1,84081,-1,653764,-1,-1,-1,-1,180459,124615,321138,-1,212097,-1,890173,-1,-1,-1,544183,-1,865872,614926,-1,487198,-1,-1,586406,102282,881917,-1,314058,891356,-1,-1,-1,56513,980027,200252,347042,-1,-1,545693,734415,374861,129810,535493,-1,-1,369578,922211,238518,-1,-1,-1,20348,149284,437673,-1,225269,-1,110617,-1,-1,319613,143843,-1,-1,895249,-1,262074,386570,-1,-1,-1,806984,981286,641477,-1,-1,-1,-1,855954,-1,-1,662223,670072,110421,-1,-1,-1,-1,-1,-1,-1,447181,-1,64870,604542,-1,-1,-1,-1,-1,-1,881714,-1,112431,97864,-1,426577,843269,468421,-1,-1,-1,-1,-1,-1,856842,834755,-1,623902,528368,921586,-1,-1,485113,347554,234181,325229,424759,255223,-1,-1,124942,-1,-1,601944,-1,-1,2846,-1,578527,240304,-1,-1,982331,186610,-1,-1,859073,824447,590976,146360,655806,-1,743522,341106,-1,607072,156947,492148,82924,49124,837123,246053,992326,476980,-1,324314,576380,-1,981378,903517,770758,372941,118366,-1,293958,-1,921435,830822,-1,-1,614184,695619,812137,-1,-1,-1,326209,135649,-1,-1,-1,3766,-1,-1,489825,-1,945591,-1,-1,-1,-1,-1,768087,-1,-1,-1,367924,193981,562724,680203,717603,320764,430186,24724,212768,-1,544206,149253,-1,-1,968461,301802,-1,-1,-1,-1,299772,-1,753302,-1,-1,-1,-1,-1,408905,193609,-1,-1,30007,401449,-1,-1,-1,17070,-1,-1,582228,-1,588006,-1,-1,-1,-1,-1,-1,63683,939093,-1,-1,280130,-1,-1,-1,660573,-1,-1,-1,864501,-1,77465,-1,-1,464705,-1,835703,83663,396089,-1,582664,382629,695695,-1,616397,-1,-1,-1,-1,52389,53924,-1,868839,800988,-1,-1,103523,127980,908895,-1,-1,-1,-1,684589,466615,-1,-1,-1,-1,321002,-1,201067,-1,-1,-1,-1,-1,-1,327927,462036,-1,526405,424921,-1,-1,-1,929324,688079,793640,-1,100491,443260,-1,-1,117756,164865,-1,74204,892628,729153,976684,15688,89405,-1,67883,-1,-1,-1,265793,-1,-1,687386,-1,-1,757213,948646,-1,136421,-1,-1,283252,-1,-1,800681,704284,-1,-1,-1,128024,-1,-1,-1,-1,263999,336081,829700,-1,946779,-1,-1,931365,267020,-1,-1,-1,901305,-1,369780,433048,486636,912295,771791,830939,370861,944016,111780,480956,-1,519319,932793,-1,425808,977735,-1,-1,-1,-1,436738,870210,537433,125484,-1,-1,-1,86675,-1,-1,231007,48526,574488,932220,798489,661129,-1,-1,500802,-1,882983,-1,-1,-1,-1,-1,-1,-1,836548,-1,91093,-1,-1,-1,963032,-1,396103,820813,-1,142781,-1,-1,732856,-1,-1,749968,-1,-1,17812,376168,765498,-1,-1,41452,180825,-1,-1,168544,-1,-1,-1,705873,-1,-1,-1,-1,178813,-1,334991,-1,-1,664932,480581,-1,-1,172673,181161,320120,902397,-1,570107,-1,-1,359819,470448,-1,403691,-1,650234,815973,93914,651182,-1,397476,371929,249809,-1,-1,685424,-1,-1,-1,116501,183147,-1,-1,176211,613007,466950,-1,638844,-1,999061,987301,-1,-1,-1,620161,-1,-1,-1,-1,803083,299134,406623,360171,-1,-1,-1,-1,-1,-1,51527,-1,278794,956585,435606,790961,-1,387306,-1,-1,785995,938783,818882,-1,560551,316651,-1,-1,217609,-1,562222,599733,132231,909381,818473,705399,-1,315998,514146,981856,461580,192104,-1,325442,-1,-1,500984,-1,461520,-1,-1,-1,-1,889902,446405,476823,699323,164192,520399,-1,-1,-1,69217,-1,784250,781118,-1,-1,246262,-1,211113,-1,-1,-1,352706,-1,-1,375770,746177,329370,221480,235045,18343,-1,-1,-1,737026,-1,-1,-1,439517,-1,-1,67451,-1,-1,-1,-1,-1,66704,437005,-1,-1,663501,-1,-1,-1,370246,-1,-1,61405,-1,129699,-1,-1,-1,-1,-1,81648,-1,681005,-1,750272,-1,-1,-1,524992,364704,-1,-1,-1,575072,-1,-1,20417,609472,463073,678971,402870,-1,-1,920022,201745,-1,626152,712762,624217,-1,455710,-1,-1,145203,35398,587964,-1,931777,-1,670281,-1,11175,826216,962572,-1,774943,934131,-1,224138,341604,-1,757323,499768,-1,550479,642137,239532,944257,-1,-1,895292,515062,792088,904122,669186,15720,-1,-1,-1,-1,-1,268879,770220,-1,978592,-1,-1,967810,776179,-1,247134,-1,-1,-1,57427,-1,148398,796165,-1,847360,-1,-1,-1,163625,-1,-1,-1,710232,868545,-1,-1,-1,-1,257862,-1,497085,-1,-1,778523,811763,150443,821897,854029,-1,-1,-1,792550,87469,-1,-1,-1,-1,-1,-1,-1,-1,-1,723404,-1,243475,-1,371816,275658,-1,-1,-1,-1,283026,-1,153551,461784,223718,-1,209151,181311,-1,354133,174870,-1,-1,720086,327462,722872,-1,38006,76291,277799,-1,-1,747971,-1,810695,567243,-1,-1,604562,-1,133840,-1,863609,687043,965862,873154,-1,-1,939258,352277,-1,559711,35826,-1,-1,-1,348111,-1,382981,851751,151866,64631,252623,415564,-1,-1,-1,768567,-1,93742,93258,-1,858746,-1,647404,-1,996038,651726,782073,951610,661332,-1,-1,883771,573564,-1,-1,-1,-1,824431,391587,459902,598126,-1,-1,-1,200633,-1,691813,408688,-1,207550,-1,683353,717431,-1,-1,-1,-1,70022,481136,-1,-1,324456,-1,-1,-1,130209,-1,-1,434237,-1,-1,327362,-1,877714,828164,332253,-1,555941,-1,-1,341110,756243,427473,727435,280321,737553,117228,859768,-1,510182,7162,-1,119887,-1,790719,-1,640059,-1,-1,273996,-1,711947,169819,-1,-1,783807,75314,487317,289529,54490,185362,-1,506660,959354,597674,262338,612110,-1,201163,-1,607928,-1,-1,746336,247218,-1,-1,490661,-1,51872,754685,-1,-1,-1,-1,-1,-1,409009,433703,-1,-1,-1,56401,-1,-1,342394,224699,213434,409814,346269,-1,899318,54569,684086,-1,80304,-1,610991,-1,-1,506018,-1,501082,-1,-1,-1,-1,78489,-1,986378,825885,388627,65111,295638,-1,639538,757619,34958,861269,-1,-1,419876,483960,-1,-1,761852,964835,63359,418948,-1,665467,-1,953944,606975,588557,253127,-1,-1,-1,884890,19083,778677,-1,200719,-1,-1,-1,632319,87778,-1,515404,758516,-1,863181,132921,915287,-1,-1,-1,-1,-1,-1,-1,-1,582253,-1,949716,-1,419356,946435,853586,496038,337275,853130,-1,-1,-1,-1,641634,-1,-1,558739,-1,-1,788402,775984,739142,716207,513933,551345,-1,823958,-1,-1,-1,-1,239744,-1,-1,-1,-1,903780,965048,-1,547975,454152,856305,101938,-1,-1,-1,351463,-1,418833,-1,415758,286786,-1,-1,-1,-1,602715,-1,-1,880183,147074,608797,953570,-1,106405,359997,367623,357209,613957,-1,887931,-1,606411,-1,-1,-1,434965,-1,-1,-1,532898,14174,65649,11819,719650,33601,451732,-1,-1,-1,451472,291736,-1,-1,-1,-1,359783,-1,714464,-1,-1,947402,358035,21862,746555,744303,578869,-1,258727,706317,156496,-1,-1,328843,-1,674995,-1,964306,454483,452582,-1,293845,791010,497846,-1,-1,692587,-1,489645,-1,-1,-1,646000,519681,483059,-1,-1,29382,-1,-1,-1,924592,-1,-1,82037,-1,-1,-1,608449,-1,468790,-1,-1,574399,660161,-1,873989,-1,646996,558249,503970,-1,-1,934998,334650,197702,291919,251922,-1,-1,266237,-1,-1,501345,83324,-1,-1,-1,-1,828396,549823,-1,-1,319989,-1,-1,881076,-1,449968,-1,544810,923087,-1,922459,-1,270384,165449,-1,534216,-1,-1,961916,467555,-1,456177,-1,303013,-1,-1,816024,-1,-1,-1,596043,-1,67533,165789,99297,310264,138515,-1,-1,643717,538633,-1,-1,343105,537074,692939,-1,-1,413253,287886,358089,974888,162274,116558,400145,-1,614329,346249,613905,-1,-1,283539,-1,-1,-1,557824,208153,-1,123039,726857,303567,295608,-1,817715,-1,-1,684665,705323,-1,693742,-1,-1,702181,248122,280520,-1,-1,-1,651882,-1,-1,351024,157026,-1,836415,104526,449982,947465,489807,960877,262302,-1,187692,-1,958184,853056,351672,-1,263854,204783,486586,223933,-1,-1,485608,-1,-1,-1,928560,364516,-1,-1,38420,-1,-1,267721,-1,346603,-1,-1,718149,-1,35925,545904,-1,-1,371175,-1,86632,320804,400697,-1,-1,-1,92914,-1,901708,53577,328040,211291,688256,939885,924102,384235,-1,275454,-1,318788,195057,936939,545520,822206,-1,-1,411428,847543,273876,858104,-1,315230,-1,-1,7467,326319,546801,-1,-1,-1,-1,-1,669042,978522,-1,-1,-1,-1,84789,424315,-1,-1,-1,-1,-1,-1,579268,-1,-1,-1,-1,725555,654739,-1,263221,529559,-1,635001,36774,409456,-1,127700,687481,-1,-1,842638,-1,563423,198508,680349,-1,-1,-1,524622,-1,-1,-1,275274,-1,-1,380702,98196,152032,512480,570728,-1,-1,-1,-1,279114,559254,668612,-1,248749,407613,-1,-1,-1,936897,593725,-1,-1,887489,8402,-1,342581,329435,243545,-1,-1,528506,861799,235886,747396,409813,-1,-1,-1,-1,162702,-1,-1,-1,80969,-1,-1,-1,-1,25347,669451,-1,248018,692659,960752,176182,-1,610439,-1,203264,-1,-1,770064,-1,-1,-1,-1,638461,-1,966568,-1,-1,345856,-1,-1,-1,888971,-1,-1,894241,-1,-1,259148,960434,363632,-1,643979,-1,-1,-1,-1,-1,-1,-1,-1,146417,117499,696406,-1,-1,705093,-1,802085,852337,612272,602445,-1,405452,-1,-1,-1,-1,960618,-1,866727,-1,445988,796896,-1,107577,-1,-1,-1,139756,90102,-1,70003,-1,455780,-1,-1,-1,-1,387695,816866,-1,-1,952605,-1,-1,-1,842733,449208,-1,494592,897490,69335,-1,-1,813758,-1,-1,193083,460457,278444,117491,-1,-1,-1,968882,912378,-1,313800,860213,-1,92956,-1,331961,939133,-1,628427,-1,-1,-1,-1,-1,35259,981933,-1,130233,-1,242978,815595,-1,-1,-1,-1,969582,-1,960598,-1,700522,408082,447834,-1,302049,483504,-1,496377,407787,796943,967443,486335,976498,251279,-1,-1,849151,258176,639376,369428,-1,-1,-1,-1,-1,-1,20462,375862,-1,-1,-1,578092,-1,-1,632664,-1,678586,438373,-1,-1,455455,427301,-1,-1,-1,-1,-1,611318,-1,959971,-1,-1,378504,643129,969755,-1,242937,712731,-1,-1,871759,134280,-1,67943,871929,685265,512440,289528,650508,345086,-1,697899,-1,926071,-1,-1,510255,-1,-1,-1,845820,-1,-1,235407,-1,615973,898656,694224,192310,475803,626538,291359,-1,417591,565365,165498,82209,328056,962370,925632,-1,154346,-1,389776,781275,-1,-1,39286,-1,-1,-1,-1,801929,109022,-1,692378,845989,-1,-1,394005,-1,-1,92811,790038,-1,-1,-1,171472,-1,-1,-1,-1,131898,631260,-1,-1,544910,917408,-1,-1,960076,604796,-1,-1,65569,749325,-1,-1,871848,-1,-1,-1,115683,-1,-1,-1,419941,203599,-1,-1,-1,361617,740252,505913,917959,114293,-1,879673,-1,-1,742131,729455,-1,-1,336238,900471,88413,-1,858458,-1,944430,308333,285127,735242,-1,471359,-1,900491,384793,-1,-1,-1,-1,-1,468702,575484,931641,23927,-1,134802,-1,-1,-1,824428,-1,635767,-1,396879,-1,938036,147889,79472,-1,216707,-1,673699,755422,-1,655420,-1,597213,-1,-1,-1,-1,-1,519128,-1,-1,-1,-1,417027,-1,21368,832226,-1,-1,906924,-1,-1,434095,-1,-1,378968,244695,92660,328462,63096,-1,-1,-1,684917,237347,-1,-1,-1,-1,-1,-1,-1,893714,123158,405044,792671,-1,192921,567679,371948,-1,857988,-1,721305,-1,120025,798483,423276,730059,-1,117215,684433,651388,503730,-1,69324,921952,-1,-1,-1,-1,-1,17856,290261,619771,380678,-1,-1,488997,655792,-1,309205,520947,716272,287344,-1,735687,-1,663332,-1,-1,281434,-1,862389,-1,541039,783163,-1,-1,-1,550010,951333,-1,-1,-1,-1,722889,981836,731611,-1,-1,709336,-1,870370,-1,88058,546440,-1,-1,737558,-1,472449,283154,-1,-1,461603,-1,325098,-1,-1,-1,190838,-1,-1,825386,-1,275800,-1,228693,-1,-1,263364,828426,-1,-1,600766,-1,-1,-1,-1,-1,808302,111375,-1,-1,978424,-1,288529,-1,-1,453305,883416,306164,-1,-1,496834,-1,907737,-1,-1,-1,386861,558951,-1,-1,1094,384673,-1,-1,4507,-1,-1,-1,-1,881315,-1,888529,301775,427226,-1,490343,615321,198851,181935,-1,-1,-1,998892,250146,-1,-1,707736,193123,277578,-1,-1,-1,-1,-1,195371,364306,-1,488550,584465,164126,-1,905611,-1,827745,824634,907986,849989,31434,-1,732129,370641,-1,754843,327842,-1,-1,-1,972146,424672,647582,-1,918561,447959,612689,357247,-1,930089,370186,-1,923438,311671,-1,110795,115827,-1,-1,87996,-1,-1,598365,406626,-1,-1,965629,496185,276862,-1,492269,-1,-1,8479,131858,181312,-1,52604,823523,580163,112403,-1,611994,712946,55953,917388,368690,-1,-1,777082,-1,825671,-1,-1,703187,185842,980370,-1,-1,-1,570212,13625,104834,-1,97202,455491,6504,-1,-1,-1,-1,-1,439240,-1,779379,-1,-1,106363,534367,235583,-1,-1,-1,450766,-1,-1,-1,-1,-1,432920,-1,289127,307240,893780,890853,143535,-1,-1,-1,416479,377983,561034,-1,-1,341016,639994,-1,-1,-1,-1,-1,995962,62541,-1,-1,-1,-1,-1,326710,-1,-1,-1,-1,-1,503179,751564,989259,-1,342918,415117,806182,-1,979130,-1,94273,215800,981883,594975,279830,871825,333843,614224,-1,773228,-1,734080,-1,-1,462741,343892,-1,941507,68614,329918,-1,-1,632056,-1,399605,-1,513710,25344,497377,86841,-1,-1,289843,-1,-1,-1,562804,-1,-1,46870,240670,-1,-1,-1,452798,-1,40928,338524,-1,822771,401963,361331,792438,-1,141658,-1,-1,-1,-1,75133,292975,-1,231561,915917,-1,-1,495117,899063,759033,786206,510144,-1,-1,845162,600131,406633,63361,-1,-1,-1,721855,-1,-1,899181,795416,-1,545581,727844,935774,-1,198282,-1,407299,727272,-1,125253,-1,401939,435473,765288,789611,-1,709323,-1,-1,670618,920811,-1,714332,-1,949875,-1,-1,491881,-1,-1,96519,-1,522614,-1,706154,766497,-1,-1,-1,46834,683708,719116,312853,90247,590346,-1,560348,-1,-1,18156,-1,-1,-1,-1,-1,-1,251468,993723,-1,-1,-1,84301,637622,741896,868987,-1,911780,211940,498053,-1,-1,-1,846969,-1,195811,849211,-1,394652,-1,482291,683960,-1,-1,848681,-1,-1,133361,-1,-1,-1,-1,-1,444685,-1,-1,-1,-1,166012,-1,-1,411831,593721,604467,-1,667394,-1,-1,-1,-1,-1,-1,-1,364173,-1,-1,-1,287600,-1,-1,119844,-1,-1,441126,951786,-1,-1,-1,445610,369352,338187,-1,-1,-1,-1,808387,232180,113083,442416,-1,-1,-1,-1,-1,846874,156583,766452,-1,-1,233228,876636,-1,-1,-1,57624,462045,-1,-1,912929,769975,637361,-1,-1,426611,-1,289929,902011,126168,683097,-1,-1,487502,-1,570264,714550,526450,453133,886544,86735,-1,618625,-1,26745,-1,-1,796743,37950,-1,295963,-1,-1,454836,146121,22988,106146,-1,691390,56665,-1,276269,-1,-1,-1,-1,445582,176444,915202,88509,-1,825882,-1,687414,472318,-1,-1,30136,286091,-1,578339,661288,-1,989984,-1,825674,-1,700195,-1,985906,852885,-1,343225,627246,-1,-1,93983,470119,-1,466554,4594,454830,-1,-1,-1,298347,-1,493412,2621,-1,451255,-1,284039,-1,-1,835881,-1,462634,328158,-1,-1,490524,281835,522156,-1,614275,-1,205090,-1,981415,-1,-1,972718,690860,-1,106161,-1,-1,-1,628666,-1,-1,679121,-1,631694,488054,772940,-1,-1,998443,747233,-1,357322,-1,-1,459737,280933,-1,-1,-1,-1,995147,-1,-1,-1,912521,-1,-1,577739,-1,587459,496091,-1,103405,-1,39281,835513,-1,-1,270835,949514,641779,-1,-1,795462,-1,-1,723589,601818,209926,509079,166656,-1,183296,-1,-1,580768,710051,-1,-1,988051,-1,6840,510198,-1,-1,480409,871499,-1,173811,564196,-1,79919,-1,313485,941590,-1,-1,838678,648643,-1,935594,-1,66783,-1,-1,-1,-1,-1,663049,449106,-1,141175,-1,52173,215492,-1,-1,60721,-1,-1,878876,-1,-1,102578,348269,-1,-1,-1,-1,-1,192453,325187,358654,154518,-1,-1,301029,-1,94409,649007,877378,67350,-1,787839,-1,-1,-1,529767,852104,-1,-1,-1,-1,559150,618407,-1,84888,-1,-1,686910,826998,-1,-1,734093,-1,-1,541437,-1,551000,713558,163738,176411,-1,582679,857141,338719,-1,-1,396788,-1,100994,-1,-1,732108,-1,454003,466670,149856,-1,-1,938727,-1,-1,763520,844783,607023,869456,-1,-1,126592,-1,-1,50100,126725,-1,-1,354469,-1,-1,426176,353728,436199,675639,64999,870086,931261,-1,653095,-1,-1,-1,-1,143205,819580,398166,985146,534480,482002,282870,88933,787271,82151,-1,534553,394388,-1,-1,-1,-1,759593,993379,343306,451847,409063,-1,386229,-1,-1,727225,547291,196511,384911,-1,590291,309949,-1,-1,-1,830140,926302,-1,665378,-1,-1,314966,195766,-1,976202,781003,-1,-1,639338,-1,117147,760566,317009,241326,331004,-1,681813,-1,-1,-1,233091,782433,-1,323139,914278,546269,-1,-1,-1,-1,-1,875182,647252,-1,782197,-1,-1,895083,483149,698025,786652,603414,834477,-1,-1,-1,-1,879341,772725,652156,623101,300628,159991,-1,256130,733726,694398,-1,101294,924532,-1,-1,-1,-1,-1,-1,-1,408364,910711,65846,-1,676805,-1,-1,-1,-1,16182,781535,-1,-1,-1,544084,421527,-1,-1,-1,-1,-1,953073,-1,-1,-1,-1,870606,724448,-1,709500,-1,-1,-1,-1,-1,460525,-1,11079,301416,-1,-1,-1,781299,-1,-1,363697,104970,-1,20397,-1,-1,625450,-1,741672,-1,-1,426215,-1,-1,-1,986478,-1,-1,-1,711121,229906,961951,152718,922058,100621,939989,-1,-1,-1,-1,786372,-1,-1,-1,291532,-1,212522,-1,654386,882116,-1,843623,514088,-1,-1,853075,-1,969967,-1,112974,-1,-1,590328,-1,697718,-1,-1,588958,-1,839236,191057,-1,-1,-1,494753,87670,22534,-1,731025,849621,-1,921786,667280,-1,768693,264078,896324,861462,608007,34509,-1,203630,-1,619361,-1,-1,548142,-1,27525,788009,-1,-1,-1,-1,925899,-1,956388,57337,2663,-1,348947,45551,384674,-1,822884,-1,-1,-1,146476,769672,-1,60357,-1,706581,352252,960590,-1,-1,948723,426349,-1,344392,192319,-1,-1,404565,78267,287884,518877,-1,792629,-1,796115,-1,-1,812871,384279,398984,635174,47061,-1,461100,498634,909018,-1,-1,249762,150437,168008,555590,-1,-1,416578,-1,-1,774570,-1,-1,-1,-1,-1,86169,-1,-1,-1,385133,648144,-1,235793,676530,-1,-1,831704,-1,-1,-1,-1,-1,719050,-1,917156,782664,-1,-1,772340,-1,417849,-1,-1,200466,-1,64001,-1,833888,-1,-1,223633,31735,-1,404727,824486,118944,-1,658735,126971,-1,271790,392371,245198,176539,308656,-1,-1,623786,-1,-1,485235,887181,-1,-1,919938,-1,7375,268468,842723,-1,-1,-1,973240,-1,-1,442305,850263,883796,37905,877279,452501,991449,-1,-1,659555,43575,725330,546220,-1,-1,-1,637999,507299,-1,-1,694172,625798,160018,-1,989948,946099,846479,-1,-1,98056,-1,-1,-1,93130,-1,-1,901756,-1,744927,968458,-1,380404,719570,406910,-1,-1,-1,-1,-1,-1,-1,371836,-1,-1,524996,-1,121094,740876,-1,-1,834760,-1,633130,602743,147115,-1,788588,68454,-1,313783,416502,595115,378442,391069,-1,-1,-1,-1,-1,-1,-1,535214,-1,-1,-1,103871,-1,5753,-1,-1,-1,540727,-1,600428,-1,419986,79414,-1,751778,-1,707394,-1,406999,312504,300803,534630,-1,-1,-1,-1,-1,-1,924135,-1,-1,-1,515262,294710,-1,-1,395849,-1,-1,-1,954013,856281,-1,715510,498895,-1,-1,-1,-1,-1,-1,-1,-1,890025,201546,-1,358602,680944,-1,642367,183398,955836,-1,339430,145423,-1,653214,432818,-1,640658,902377,271238,-1,910572,-1,-1,-1,572823,-1,757638,22935,-1,-1,455766,700199,240470,196422,-1,-1,388726,335322,366472,-1,-1,217604,-1,819915,-1,774623,-1,683261,-1,-1,992683,862702,-1,-1,26409,-1,943268,769341,-1,-1,918205,-1,198098,-1,-1,398081,-1,35903,-1,284948,407740,-1,-1,-1,700767,-1,853759,182187,-1,856557,-1,-1,-1,-1,713858,834417,-1,-1,-1,-1,-1,387469,-1,142703,-1,546965,938944,730773,819313,110329,-1,-1,-1,72803,-1,685089,-1,-1,-1,-1,-1,-1,-1,305711,-1,-1,-1,-1,391455,246250,599357,-1,638699,-1,-1,849951,924518,418602,-1,251069,-1,541149,554034,66199,-1,90838,950192,971057,420884,49042,114935,576742,657676,-1,-1,-1,-1,-1,342508,-1,522060,991124,-1,225968,586508,-1,-1,-1,-1,-1,-1,-1,54697,-1,13477,73020,-1,-1,-1,897355,155727,677399,-1,255090,402572,-1,-1,815503,-1,-1,760519,855589,-1,815148,-1,123274,284848,-1,295353,160077,-1,-1,936563,-1,232997,666014,792501,359169,387815,-1,889679,70493,-1,676827,789084,10348,-1,-1,-1,-1,-1,-1,770708,-1,477883,384208,-1,193165,-1,776105,492682,-1,954822,845457,-1,495975,-1,746304,853543,830838,241604,-1,837887,-1,669545,-1,-1,-1,570669,-1,-1,-1,-1,836949,-1,-1,-1,-1,719892,502229,-1,-1,483610,-1,-1,720813,646087,713801,-1,609486,411596,839660,-1,437170,947905,937420,-1,-1,790081,367268,830765,159012,484305,879907,-1,498144,479436,-1,302064,-1,-1,571766,-1,-1,485157,-1,162138,993171,137047,-1,93070,830883,314602,791926,696515,585340,-1,977656,-1,-1,-1,481158,-1,-1,-1,817283,-1,620725,-1,152707,-1,-1,-1,164229,268023,-1,245076,-1,-1,332704,-1,131355,477465,-1,244776,134472,753369,830356,-1,603631,-1,563213,700028,860707,-1,-1,-1,-1,845379,125611,437092,-1,382004,-1,-1,-1,-1,-1,-1,-1,-1,796524,-1,-1,-1,700594,-1,810993,-1,547200,-1,-1,37671,-1,-1,724502,986717,-1,785593,298814,954016,-1,651486,-1,-1,974199,739723,439402,423739,841356,-1,-1,331406,-1,641490,882711,400375,-1,-1,-1,-1,882880,-1,796731,28553,478692,-1,-1,-1,-1,-1,480109,-1,330321,-1,-1,-1,-1,-1,182455,137343,-1,985555,-1,-1,-1,-1,-1,85794,673332,721861,-1,613983,-1,-1,-1,232583,245000,-1,-1,-1,65827,692873,693503,-1,609860,-1,382014,955223,84029,39900,723226,-1,-1,-1,-1,408186,423108,460521,-1,331954,346939,425634,20510,702144,-1,534988,-1,-1,-1,5283,558449,-1,-1,-1,880926,641143,956882,-1,-1,934456,-1,761360,876186,-1,5546,-1,186016,-1,-1,83060,220380,980539,482521,516748,306566,-1,-1,-1,606525,512765,697931,987171,373104,92771,-1,-1,-1,129958,-1,173704,-1,-1,541040,-1,-1,-1,385906,-1,688985,-1,-1,-1,200661,-1,-1,436812,-1,585750,-1,489453,667066,933282,583288,188215,-1,-1,-1,-1,540389,577621,-1,600399,-1,-1,470841,30099,882341,339469,91656,748394,-1,-1,-1,-1,338883,755435,442062,595376,-1,878276,-1,-1,-1,977478,-1,7588,96536,-1,365456,-1,919697,-1,581673,-1,746677,-1,-1,165336,833811,-1,-1,-1,-1,-1,-1,23853,344420,412739,-1,-1,-1,466208,483642,929631,504528,-1,-1,509436,853522,286739,-1,959711,924168,991636,667483,-1,388721,-1,-1,216569,203890,797562,-1,-1,470735,-1,-1,606225,383396,36398,-1,-1,-1,-1,296593,143651,493486,-1,-1,206775,-1,391006,249610,-1,670549,217629,-1,295396,-1,-1,-1,-1,-1,-1,-1,-1,827378,95482,-1,-1,906236,960980,862519,-1,83869,918597,-1,304930,362057,-1,-1,216286,818280,-1,791706,-1,-1,-1,332635,-1,367753,635522,-1,530507,936678,452693,455342,-1,-1,-1,-1,-1,-1,-1,578014,-1,-1,-1,-1,839141,-1,-1,-1,402150,-1,-1,476342,-1,-1,58633,-1,-1,120643,333119,396626,733165,496641,580351,374263,-1,-1,290437,-1,-1,775408,908013,267009,257201,-1,776882,-1,769094,-1,-1,596278,483950,-1,834172,350926,93164,789021,939501,240763,-1,-1,-1,784814,-1,-1,-1,164264,866511,733009,-1,-1,-1,291413,-1,-1,-1,946499,502991,-1,471571,-1,480696,-1,-1,721899,-1,500644,-1,703151,913804,-1,391112,956594,-1,30586,-1,-1,-1,772336,924673,-1,-1,-1,-1,388444,-1,56031,327438,938114,696228,-1,-1,263320,135882,400883,-1,-1,428342,-1,-1,944407,-1,417088,-1,271672,881198,898045,634668,180439,982042,442515,-1,24630,285705,789538,959479,-1,-1,613293,213332,-1,493406,-1,-1,-1,72829,998326,405073,-1,856825,-1,-1,-1,79421,-1,-1,-1,-1,160123,-1,-1,-1,-1,803409,-1,-1,-1,-1,-1,-1,186350,-1,-1,-1,-1,802156,-1,-1,-1,384708,-1,416413,-1,-1,-1,187064,-1,621327,-1,-1,371584,-1,598899,136439,-1,-1,604566,801960,-1,967783,64522,478180,582284,-1,-1,-1,-1,917870,-1,-1,747965,-1,-1,964220,236306,-1,408797,-1,-1,770910,259084,-1,998672,33106,-1,-1,-1,-1,-1,-1,-1,-1,690106,315633,-1,604306,-1,908259,743595,128359,51623,252496,840804,579581,645870,924144,-1,692031,-1,354218,630244,-1,565338,-1,493283,-1,747290,-1,-1,665526,-1,117968,-1,608871,-1,882646,733796,-1,-1,-1,-1,937840,142000,717090,964019,-1,-1,-1,918450,-1,-1,-1,-1,914651,-1,931876,462241,327651,728718,-1,-1,-1,-1,454178,454160,279522,643224,902322,-1,-1,-1,-1,377864,223821,-1,315385,-1,-1,814487,391974,-1,392193,-1,238923,-1,379002,726917,-1,-1,-1,-1,746909,800441,501898,-1,70461,-1,415383,588678,68713,234396,444500,197003,61711,-1,-1,662152,-1,-1,-1,482781,294362,242538,375627,607321,362152,-1,-1,-1,945958,663395,-1,-1,272567,934834,629155,-1,-1,-1,878397,295516,860710,-1,-1,619692,256894,-1,-1,512308,-1,924005,-1,84104,369160,466745,187718,656884,-1,-1,44536,551463,-1,-1,923304,-1,-1,-1,710134,-1,-1,-1,-1,-1,-1,-1,-1,827965,896386,-1,728513,-1,-1,-1,-1,54665,722313,533837,486615,149808,-1,-1,-1,516948,-1,624402,775481,-1,-1,-1,-1,-1,-1,850152,-1,-1,-1,-1,70033,-1,782487,451717,312243,440527,470802,86588,201233,383783,307776,-1,-1,-1,16057,952423,-1,-1,-1,-1,449872,502823,-1,51956,890839,-1,880170,490568,-1,-1,-1,-1,620831,-1,-1,-1,493073,-1,436372,-1,167193,-1,944705,-1,-1,-1,-1,-1,-1,758417,-1,-1,-1,-1,-1,882246,444801,93399,926805,-1,-1,-1,-1,-1,-1,857397,-1,939964,43634,726465,-1,121945,-1,-1,-1,393504,345701,748091,304571,937332,-1,-1,-1,615402,728384,867488,678619,293101,42571,808471,-1,517612,-1,-1,-1,-1,781473,474651,-1,274286,726283,924679,-1,-1,-1,-1,-1,-1,-1,-1,-1,885615,24576,-1,374696,560907,-1,-1,303930,-1,-1,920878,-1,584087,-1,-1,625993,-1,427666,924303,-1,142642,-1,729249,663140,-1,253313,-1,-1,-1,-1,215982,-1,916038,594421,-1,-1,470607,-1,981964,338851,-1,813819,694526,-1,-1,690211,-1,432527,336201,-1,163082,224866,-1,539474,740998,286452,-1,41589,989318,942158,153616,-1,-1,839686,414373,132811,-1,748240,-1,819085,-1,-1,348642,-1,980647,899601,-1,384021,483643,-1,344855,725647,852185,-1,712542,-1,907877,-1,-1,628158,-1,627779,-1,-1,-1,871414,-1,-1,-1,828764,609376,807814,-1,-1,880052,520738,-1,-1,645868,432406,-1,-1,412392,716671,301271,-1,919843,-1,-1,-1,-1,-1,-1,-1,244679,906579,-1,933544,-1,789309,-1,675468,159560,668821,-1,-1,-1,-1,-1,487644,401152,-1,458354,-1,34113,-1,739344,641336,298865,596684,123172,-1,-1,296515,751553,357841,-1,-1,-1,970295,-1,459332,-1,147533,-1,970136,361645,418625,-1,-1,146097,-1,352529,679714,-1,209260,873152,228045,4312,249609,636959,817908,-1,-1,454335,-1,-1,-1,-1,310827,-1,908107,885314,865448,-1,617640,-1,64571,-1,775958,133690,141598,78979,933333,386025,-1,918633,894654,658084,-1,-1,-1,778555,483460,-1,482225,266929,-1,178144,25496,-1,43475,-1,-1,-1,160101,-1,-1,586904,-1,298574,497633,444532,-1,-1,-1,409524,239171,-1,-1,423361,765170,-1,174515,-1,351945,-1,-1,154339,-1,528831,152374,786500,340331,313748,966965,883478,-1,-1,-1,852680,142990,192088,122685,-1,706011,-1,681545,-1,644152,-1,800569,142741,-1,796966,-1,8831,552109,491469,-1,858129,-1,-1,271009,-1,-1,95319,-1,141548,-1,469842,36603,63084,-1,-1,905102,242587,-1,-1,703200,130160,-1,-1,-1,121556,-1,182587,56668,213885,-1,239548,-1,192286,68697,-1,909535,-1,-1,938575,570119,-1,753855,-1,328240,-1,-1,-1,-1,-1,318939,-1,432616,-1,-1,395452,742434,318153,-1,-1,210907,406333,650083,-1,395395,889908,-1,445772,14898,-1,-1,218797,-1,567223,-1,459922,767101,-1,-1,-1,76855,729445,673861,547795,389103,362784,415626,-1,-1,-1,-1,-1,-1,-1,375824,-1,-1,84615,-1,644948,-1,30241,-1,-1,-1,-1,-1,358498,80935,568944,545150,247084,611922,-1,-1,90169,392170,-1,-1,-1,-1,-1,575626,72522,213629,831044,778245,710020,-1,383959,173691,-1,-1,-1,-1,-1,-1,-1,-1,-1,429676,-1,187822,-1,-1,-1,332030,133426,-1,142446,-1,-1,289462,-1,946755,163559,-1,-1,996626,-1,-1,-1,-1,-1,-1,-1,-1,-1,918715,224720,984184,674167,-1,-1,404305,-1,828123,405841,863132,748241,283621,156507,189600,941526,678728,-1,-1,317291,455824,548892,-1,946362,-1,516035,444828,-1,-1,-1,524668,974791,-1,311566,-1,-1,621991,-1,461773,-1,-1,-1,917305,63103,-1,884802,511677,-1,880303,-1,831284,924133,-1,292922,-1,-1,727960,-1,1572,-1,-1,-1,-1,-1,63240,734697,-1,421634,744438,435220,-1,319177,332164,257797,-1,-1,964151,-1,-1,-1,-1,850071,-1,800531,-1,55730,-1,974740,-1,969379,-1,-1,653404,31838,296781,343266,448060,848566,-1,-1,-1,-1,175917,508695,609654,-1,-1,-1,40580,512379,983149,167843,-1,676814,-1,692773,-1,960837,-1,-1,-1,833728,-1,-1,491206,368300,-1,-1,-1,761730,-1,710630,-1,-1,-1,-1,330593,946647,54795,211178,585134,845048,692339,588810,170941,-1,-1,-1,-1,721512,-1,332918,-1,-1,19674,282876,-1,429621,644627,409616,-1,-1,-1,-1,-1,-1,-1,-1,814971,-1,237780,-1,-1,-1,-1,794674,-1,258120,-1,-1,319780,315028,898725,-1,305823,-1,-1,600109,755519,-1,-1,-1,-1,-1,-1,-1,186808,311120,-1,171137,636003,-1,929502,219897,364835,-1,972862,-1,-1,-1,862143,823027,-1,371677,-1,-1,-1,-1,-1,-1,984389,-1,803063,-1,-1,-1,386671,-1,-1,365455,-1,597711,206643,34640,-1,344695,426295,-1,3093,921588,80207,-1,743665,832878,-1,-1,766029,-1,581827,562564,25143,483307,-1,-1,797763,767143,302535,768370,-1,305154,-1,486691,366482,-1,74202,-1,-1,28911,-1,130597,-1,-1,-1,702861,-1,599976,-1,689182,599310,614138,-1,-1,-1,-1,187836,891958,-1,241741,-1,627148,679668,-1,834693,-1,-1,601959,-1,-1,192187,658913,-1,11706,149246,-1,377206,-1,-1,373220,173962,-1,5655,451140,-1,449823,-1,589746,589308,-1,-1,4919,-1,320742,-1,-1,-1,-1,-1,-1,876472,-1,-1,406768,736161,-1,349855,-1,525670,71673,-1,-1,879642,-1,36630,771186,-1,-1,-1,375328,-1,792522,473805,-1,-1,836298,-1,560999,-1,277895,715025,994611,-1,932787,529306,-1,-1,-1,-1,629159,461106,267467,-1,110602,115697,-1,-1,976933,558221,-1,-1,212448,442954,-1,817547,40107,771371,750917,212915,153163,155261,290115,-1,-1,-1,591506,402780,162300,938164,-1,472544,235351,-1,954135,641142,-1,297882,-1,-1,-1,515103,372255,-1,-1,-1,-1,-1,-1,-1,240778,325046,989344,964218,883859,-1,851616,-1,-1,148722,-1,906762,-1,907864,58720,-1,154363,158578,688039,194774,87049,-1,820675,960748,-1,-1,-1,-1,110070,73689,-1,-1,186744,-1,633164,-1,-1,667815,803357,765373,116265,-1,-1,-1,768570,658226,-1,-1,680579,127084,-1,-1,49975,472063,-1,-1,-1,105727,-1,483916,212608,241189,-1,-1,858551,791563,701962,-1,-1,-1,655567,-1,-1,-1,945594,-1,718541,628629,-1,643771,-1,-1,-1,79563,-1,161691,600132,-1,-1,-1,-1,403708,-1,416656,-1,-1,217672,-1,557512,-1,733185,82558,-1,827120,-1,-1,261748,-1,-1,-1,11631,-1,-1,-1,-1,128499,-1,866210,697234,-1,458632,317800,400175,931079,347052,119963,-1,796546,-1,439346,572481,-1,588251,196682,80561,642243,145778,-1,-1,653117,811194,-1,457293,980001,476966,-1,800218,-1,752983,375135,594806,252713,862970,248880,-1,-1,124175,542801,-1,-1,-1,266420,369675,445128,-1,480058,-1,-1,27402,620612,-1,-1,-1,-1,-1,-1,-1,146111,-1,753681,-1,967786,-1,996048,628196,-1,464653,-1,-1,-1,-1,589550,-1,918914,479418,-1,20439,112676,-1,517733,155447,-1,758839,-1,196198,688878,-1,-1,-1,-1,537293,529175,234787,-1,344258,-1,989659,832519,209819,-1,661015,727126,972550,-1,898595,-1,911039,-1,-1,943887,-1,-1,638430,-1,-1,-1,-1,-1,801329,-1,922651,355203,291599,-1,-1,-1,210415,-1,-1,-1,-1,276437,685276,-1,73839,-1,14082,-1,-1,553554,340403,424781,-1,-1,-1,947249,616071,-1,60396,274767,-1,-1,-1,-1,202718,-1,774320,-1,446046,-1,189194,-1,-1,-1,-1,331949,-1,623942,604139,50663,124709,37553,29327,124656,-1,-1,-1,-1,321413,660417,-1,955586,-1,-1,-1,-1,-1,431346,-1,-1,590497,-1,-1,187839,527343,-1,-1,299816,44584,-1,-1,-1,-1,701791,743539,-1,653618,923183,794037,-1,-1,188116,-1,-1,-1,601002,340490,-1,-1,903856,-1,463579,-1,333255,-1,-1,429443,827234,290144,765211,968975,837214,180131,379952,675887,557287,570902,884760,-1,-1,-1,621334,639355,-1,-1,664924,769055,598135,-1,-1,-1,-1,-1,-1,-1,-1,213570,-1,-1,-1,865084,160358,-1,-1,-1,-1,912900,-1,-1,266414,-1,-1,-1,719949,270655,884169,355846,-1,588161,440431,-1,-1,308423,955258,185524,-1,-1,927009,822524,555933,-1,892659,-1,-1,-1,610405,-1,562400,-1,-1,-1,380307,-1,901395,-1,162535,-1,-1,-1,842162,-1,223362,-1,-1,32924,-1,124907,-1,902486,675628,-1,-1,40229,986676,454144,425312,-1,-1,-1,-1,-1,750989,-1,-1,-1,-1,749716,861139,334998,147040,548371,-1,-1,-1,-1,-1,-1,449621,265872,-1,-1,-1,-1,813828,440813,-1,458986,-1,-1,746492,-1,-1,162700,823166,-1,-1,883347,994393,28569,-1,-1,-1,755171,-1,-1,-1,-1,-1,-1,199009,-1,654772,495512,-1,-1,548,449616,-1,-1,-1,631961,769103,400260,407629,-1,-1,946333,733139,948849,-1,158346,-1,-1,422063,-1,28264,-1,-1,-1,-1,474143,-1,824892,563882,-1,352715,524898,-1,953483,972872,648835,72869,696927,-1,100759,-1,-1,195573,-1,189995,288789,476710,-1,-1,-1,-1,959901,935270,-1,176849,-1,-1,-1,525292,-1,821443,-1,-1,-1,-1,667404,-1,721210,898516,-1,-1,-1,65644,472911,989515,-1,-1,-1,280972,-1,298168,287166,555626,535715,843837,-1,-1,-1,-1,-1,-1,-1,562177,276376,2948,978767,-1,807900,124060,787049,-1,664012,-1,972230,174864,-1,341123,-1,812583,-1,928101,-1,732664,75569,778093,-1,-1,425696,-1,-1,-1,582606,-1,-1,283231,-1,-1,469002,833711,-1,-1,169338,89336,-1,300910,-1,-1,-1,254185,-1,-1,968920,-1,-1,506027,-1,-1,689909,620740,334371,429685,-1,721536,294241,798603,848647,581539,-1,10455,463229,248266,-1,153406,-1,-1,512903,-1,688893,297026,602175,970237,787190,-1,823135,266726,-1,-1,-1,583394,-1,-1,-1,284330,936418,827323,-1,129831,362255,674962,434794,-1,-1,753295,219431,-1,-1,851312,373790,-1,161864,-1,-1,-1,74726,20107,-1,-1,196460,-1,-1,109573,-1,-1,50221,-1,-1,-1,-1,-1,920637,-1,-1,-1,811344,133278,576845,-1,905624,482063,501894,815947,233749,464395,878681,618102,-1,-1,-1,287329,-1,-1,-1,700832,-1,726776,372900,-1,-1,517173,-1,632882,279903,904440,-1,525435,332316,-1,-1,585260,-1,763734,298795,-1,91243,-1,-1,-1,338489,-1,489170,319169,-1,-1,878423,488222,534413,71571,171030,-1,-1,-1,-1,427737,23622,865410,-1,-1,-1,503389,965278,784739,989198,370776,120382,-1,770130,-1,-1,-1,-1,-1,-1,939648,-1,137513,291510,-1,449109,555696,-1,990906,-1,808785,-1,439580,898011,1222,645658,-1,-1,-1,143350,-1,-1,817529,863890,-1,-1,-1,733574,436127,-1,715315,561653,-1,337382,955440,797019,412795,705875,23353,552642,137086,228564,-1,777186,116001,702975,-1,-1,133183,614217,374215,-1,-1,894520,447991,-1,577567,773103,322943,-1,744457,147847,-1,701501,952836,-1,-1,-1,853871,428466,327679,312416,719532,947749,957406,-1,800660,325490,-1,254851,565838,-1,118219,-1,196004,70732,-1,516435,125828,715872,612238,-1,-1,171943,-1,456315,372732,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,523886,443826,-1,-1,-1,328039,698790,304664,526439,-1,827677,-1,-1,-1,-1,960815,-1,941430,935080,451670,-1,-1,-1,-1,-1,-1,-1,830226,-1,-1,-1,845480,-1,-1,-1,225771,831480,754894,-1,-1,891312,765838,815116,210798,-1,-1,976223,-1,-1,-1,-1,522808,109676,-1,484149,-1,-1,-1,375597,-1,887962,-1,459232,456685,-1,-1,-1,975779,34870,483087,380217,-1,903932,13520,160224,-1,315971,-1,-1,23711,-1,327090,845732,204808,-1,-1,-1,-1,219766,941486,-1,-1,675502,550455,-1,833218,129128,951920,471374,467967,62084,655275,555442,420893,832426,223823,-1,-1,831229,703584,544991,-1,-1,-1,-1,429317,817867,596348,680268,236958,-1,125144,-1,307631,170724,226795,-1,970412,-1,147183,929559,-1,11870,-1,394553,200901,400,-1,-1,380094,36958,-1,383967,515799,673678,-1,769355,-1,123892,-1,271176,-1,963276,496134,-1,39747,-1,329597,-1,958137,-1,9547,962563,-1,707914,188835,867398,972992,-1,-1,-1,271259,-1,143781,285954,-1,825079,605059,365166,224947,-1,942182,138307,-1,744925,-1,-1,82868,616890,-1,452777,439503,-1,-1,755322,-1,-1,90094,50338,-1,-1,-1,-1,897285,-1,182314,-1,-1,607908,-1,844519,282187,-1,-1,606277,-1,332720,51284,573594,191696,726179,323587,-1,700479,-1,714387,-1,987261,512171,-1,757975,232094,-1,765360,-1,-1,348778,714465,676327,664817,904093,402286,186584,552082,-1,163165,-1,834422,68333,-1,-1,58422,-1,25239,-1,-1,546401,128143,-1,287621,544357,790623,-1,-1,288855,-1,-1,276188,346773,-1,953406,760849,-1,450762,908687,414810,-1,-1,-1,944716,-1,278066,397372,586757,-1,-1,-1,109432,17201,-1,762872,48964,-1,-1,315741,171267,327073,-1,-1,424494,-1,-1,-1,859306,48875,-1,-1,-1,-1,607252,285777,-1,-1,-1,694696,-1,648494,-1,194552,-1,-1,684510,-1,806204,67571,123270,350149,-1,170404,-1,270713,937188,-1,-1,745462,-1,891126,-1,-1,-1,977520,718059,494261,207595,867847,108587,969364,121986,152464,-1,-1,-1,-1,-1,-1,821729,478790,789826,-1,-1,-1,-1,-1,293995,-1,-1,-1,-1,-1,666710,-1,57398,-1,182005,293319,266975,910051,-1,-1,97834,672085,926990,881795,263189,-1,-1,597668,216019,709955,879365,556386,492259,333340,541675,-1,-1,-1,-1,-1,263846,-1,-1,-1,-1,-1,231606,932446,-1,-1,543827,-1,339295,899899,629913,856167,785314,-1,-1,663635,-1,330957,-1,823742,220769,-1,579273,34570,-1,-1,71791,-1,-1,-1,561992,-1,23103,702839,-1,-1,-1,592756,119586,925134,-1,513119,254658,-1,-1,688050,124432,-1,32561,128160,663105,-1,339924,-1,112647,806603,-1,834809,-1,716371,-1,-1,995086,-1,436167,435029,714827,466179,-1,955301,569529,-1,408588,-1,-1,230314,231350,-1,559657,-1,-1,-1,-1,-1,-1,214524,613961,393062,-1,607566,-1,891014,-1,-1,67542,354955,-1,774334,813594,-1,-1,224435,-1,-1,727369,178184,869223,-1,-1,688751,-1,394694,867698,502007,715788,-1,842003,-1,-1,-1,594938,469091,-1,439174,419087,-1,-1,-1,-1,-1,805434,-1,328365,-1,362739,428366,367761,428416,485397,-1,-1,404252,-1,-1,56404,395040,455584,-1,854007,757120,492560,-1,104563,-1,495767,239730,-1,-1,49640,-1,347677,736382,772400,647273,67013,380001,-1,804587,183661,483078,-1,459999,-1,276924,-1,720752,-1,70182,44304,395034,27585,-1,295673,-1,-1,-1,701709,-1,69556,569309,-1,775784,462267,-1,973200,-1,-1,262839,159397,325628,-1,63882,873044,-1,717638,-1,-1,-1,-1,394470,-1,421788,713720,-1,-1,-1,789915,-1,723331,-1,-1,-1,730468,-1,-1,-1,940869,508271,746878,101818,416975,-1,812612,-1,594927,333307,22611,545025,-1,-1,-1,-1,406540,-1,-1,-1,-1,706244,-1,-1,-1,-1,449602,-1,326668,286491,933596,-1,-1,-1,-1,504377,-1,-1,476122,-1,-1,-1,114760,-1,681965,-1,616018,-1,-1,-1,130608,815507,777987,-1,477170,590039,568097,666920,982383,812392,434373,384827,665859,944142,-1,424468,679104,-1,631007,387523,-1,903025,-1,290133,-1,651082,-1,815163,979587,-1,-1,646174,-1,-1,582953,755675,-1,696289,79982,620862,870185,570050,-1,-1,-1,587027,-1,-1,367836,-1,735763,-1,-1,-1,-1,592522,670666,-1,794511,-1,-1,948766,-1,540118,875287,417030,-1,-1,-1,-1,260152,872291,854438,-1,-1,-1,81375,-1,-1,-1,159655,-1,225858,-1,-1,158027,-1,219683,203245,-1,-1,602046,647370,105276,389187,-1,-1,-1,441218,845350,-1,-1,-1,857708,124847,580844,543167,396561,-1,-1,652998,199515,775636,-1,499882,-1,-1,180004,476140,-1,-1,300776,870017,449629,276276,-1,-1,88796,599419,-1,992089,327783,127329,-1,-1,597745,431471,-1,66899,-1,96857,816996,-1,804788,-1,-1,-1,769798,646624,-1,284637,-1,-1,-1,-1,217985,-1,-1,796301,-1,540255,99557,321368,-1,-1,-1,894398,312134,-1,611029,-1,-1,449143,-1,-1,-1,-1,853901,960711,-1,690291,625772,-1,-1,-1,-1,-1,13785,474642,-1,-1,-1,-1,-1,-1,742943,-1,-1,-1,-1,-1,-1,-1,976208,-1,25100,-1,-1,101934,738004,-1,943563,58947,142212,-1,706821,-1,870947,543960,365040,403435,91745,338144,-1,651436,-1,620199,-1,797058,857340,95293,189265,-1,326441,-1,-1,712521,866568,876613,-1,-1,745190,-1,968276,-1,138023,454564,322287,-1,-1,455863,990994,-1,-1,941022,-1,840230,-1,-1,726988,939692,887100,-1,-1,587075,408472,-1,-1,925418,-1,-1,646935,-1,-1,-1,-1,196514,-1,-1,-1,649025,74182,460297,847222,-1,127909,953965,458683,-1,688349,-1,-1,-1,497145,-1,630140,-1,18921,909303,-1,-1,718597,138336,-1,374915,-1,467615,963971,-1,985396,-1,878973,-1,374551,146077,-1,-1,-1,-1,776204,-1,-1,174699,-1,727471,463780,-1,-1,975718,501253,985564,262554,-1,905220,-1,-1,-1,674032,-1,-1,-1,-1,365643,-1,-1,-1,213904,-1,-1,870379,-1,-1,603767,-1,52095,-1,-1,873723,962630,871786,826557,-1,-1,592918,-1,-1,822422,167503,-1,-1,-1,-1,-1,-1,557455,-1,-1,664499,501477,-1,239536,892409,537386,851943,395417,448882,-1,-1,703194,-1,-1,-1,-1,-1,764299,499290,-1,-1,649982,862479,-1,332087,740551,-1,-1,-1,525123,-1,-1,-1,-1,-1,428965,82424,-1,-1,-1,565785,-1,-1,557722,-1,968055,909487,634773,111370,-1,666945,-1,642268,212426,106595,745460,-1,320806,176147,393122,373484,-1,-1,-1,-1,-1,455391,-1,717790,193583,524818,891584,-1,924972,446217,954693,-1,992710,294234,-1,-1,135007,916550,810699,-1,-1,448877,17768,687988,23658,-1,409176,-1,945082,-1,735329,-1,-1,727526,490230,-1,-1,856676,259700,-1,-1,-1,-1,-1,-1,739079,12724,26091,-1,-1,-1,-1,-1,714117,-1,577307,-1,-1,-1,495692,-1,169890,-1,-1,-1,-1,175461,-1,-1,244154,-1,938224,667817,190394,184316,780952,-1,-1,771587,287883,-1,105978,-1,847824,-1,-1,-1,-1,512558,-1,413049,28426,106204,561750,336844,584145,-1,-1,866518,982160,611423,339178,-1,23225,-1,375045,-1,-1,713255,-1,732221,-1,310851,-1,-1,209773,964512,-1,723446,-1,-1,-1,251505,681382,618301,-1,-1,-1,-1,653023,719353,-1,-1,468647,-1,593813,-1,908123,590594,318463,264243,932274,-1,295779,-1,615886,-1,-1,-1,-1,373607,-1,463323,-1,873653,614354,-1,258670,-1,366693,-1,212818,-1,668661,-1,492530,-1,195729,-1,987121,-1,847099,898439,330736,206118,-1,234624,-1,-1,-1,38751,664224,157740,-1,-1,323148,969631,726969,215059,969936,644195,-1,792234,54470,963766,583999,-1,-1,312845,997595,591245,622796,143913,129895,-1,628831,791240,693652,532526,800114,961654,460150,530624,812499,481173,478009,608855,-1,-1,-1,-1,911703,508856,774949,-1,365873,520031,509423,-1,-1,532084,136096,-1,-1,569682,40558,-1,-1,-1,-1,286626,-1,456195,145621,384955,-1,114238,622904,557079,107442,372212,704699,259582,147420,31041,-1,-1,-1,-1,-1,-1,156001,-1,-1,-1,629106,916853,-1,-1,-1,-1,990121,849118,866673,-1,989438,-1,644458,-1,657707,-1,989371,-1,-1,335480,-1,400857,924764,-1,-1,151175,-1,326008,532324,-1,433304,588729,-1,-1,23605,659742,-1,530127,-1,840722,404017,276957,-1,-1,105074,-1,-1,-1,-1,537334,964241,-1,-1,-1,-1,-1,438188,-1,836509,-1,919834,521273,-1,854258,-1,809096,789413,-1,-1,-1,-1,-1,698877,-1,-1,398178,363449,-1,402938,967951,383988,-1,-1,-1,192245,298,-1,440238,674857,425077,-1,-1,-1,-1,699952,5031,-1,390179,-1,-1,822901,156922,-1,-1,17013,-1,-1,-1,614516,401388,514000,-1,-1,-1,486779,612163,-1,-1,-1,523237,-1,-1,29611,-1,705062,-1,157870,139905,129520,-1,426849,-1,548789,-1,-1,-1,-1,-1,-1,167831,371959,-1,811450,-1,-1,-1,237285,-1,278117,-1,825836,-1,-1,-1,-1,375890,374299,-1,571363,239509,-1,485654,250417,530540,-1,-1,224714,-1,336797,-1,-1,-1,734823,-1,-1,-1,-1,-1,-1,861640,97118,-1,559768,-1,-1,590799,-1,11145,493978,-1,507222,-1,-1,-1,-1,-1,-1,98716,557265,-1,-1,770871,831726,-1,42276,268000,563227,-1,-1,-1,283386,414454,868623,146559,972,954354,-1,-1,-1,535483,-1,-1,759855,187624,-1,235669,-1,-1,-1,902068,462122,741875,150780,-1,829562,907653,-1,-1,471866,870541,-1,96846,459946,585957,356593,176350,-1,259451,189920,484360,-1,-1,-1,-1,171759,527899,156969,-1,-1,569705,-1,710488,-1,-1,860210,415851,-1,760253,-1,-1,-1,841398,899328,-1,-1,504358,-1,127828,914901,525269,831188,-1,-1,-1,278910,-1,-1,-1,239388,-1,-1,-1,-1,-1,79571,-1,811205,13436,332362,-1,724953,-1,478819,-1,-1,957396,971914,248202,-1,-1,226732,108650,-1,-1,-1,-1,-1,-1,-1,-1,-1,590780,528317,899715,-1,-1,317041,-1,327355,-1,853607,381157,-1,-1,242784,512086,-1,513122,-1,-1,761315,642256,251864,-1,644830,627681,-1,-1,415265,48721,-1,459033,185421,-1,-1,-1,131713,-1,-1,74673,495569,923037,710787,251345,586948,-1,512216,-1,-1,635373,-1,-1,991067,-1,-1,-1,-1,-1,780918,809732,-1,542323,-1,434531,-1,792584,-1,977053,286187,740083,-1,-1,-1,185184,-1,637253,-1,-1,-1,133305,60685,-1,546905,246365,146602,-1,738892,91714,319457,-1,624835,80354,568490,-1,223775,154854,486333,811436,-1,863610,-1,-1,441565,-1,-1,-1,-1,-1,-1,616491,-1,699986,-1,-1,-1,915712,845182,46537,705546,-1,392259,199011,181966,115026,965827,792954,623514,-1,610277,242564,-1,413484,537112,-1,-1,-1,148317,535905,-1,-1,563730,-1,-1,-1,919473,-1,579691,765953,42847,-1,201738,699126,-1,780592,936106,-1,-1,-1,-1,-1,-1,-1,281108,519438,419013,567884,-1,-1,-1,-1,13900,499086,342220,552548,962040,-1,675606,89468,628955,515806,-1,-1,970044,-1,67452,539473,-1,-1,694400,-1,-1,-1,-1,870051,-1,467259,41807,-1,-1,-1,-1,-1,830501,567874,252289,26974,714831,-1,-1,993158,-1,220739,185652,-1,706782,-1,741682,160714,-1,-1,-1,-1,-1,-1,437405,-1,911427,-1,-1,77370,180941,603553,97113,-1,-1,137414,997846,855154,176797,765004,581070,339036,-1,-1,-1,178872,513104,25157,-1,-1,432088,511115,709687,-1,271002,-1,-1,844932,-1,345134,781942,356386,-1,238913,-1,940260,-1,962122,-1,501558,820913,-1,90266,-1,676742,622768,-1,840656,-1,-1,-1,621962,576577,756708,-1,21819,423380,-1,-1,279492,-1,-1,996818,422000,25843,581448,200629,74131,-1,-1,-1,-1,-1,479770,601097,-1,-1,858150,124655,269014,-1,567895,-1,-1,-1,-1,-1,-1,49599,-1,521732,714129,-1,288654,-1,855007,525178,770728,579877,605151,-1,-1,-1,-1,-1,884297,-1,-1,-1,346560,12222,-1,-1,-1,401810,-1,-1,-1,-1,-1,93330,-1,-1,-1,542039,-1,-1,-1,-1,-1,-1,-1,-1,918505,850703,-1,-1,26386,-1,530950,-1,753529,744380,-1,259467,150012,-1,-1,933932,-1,933476,-1,-1,-1,-1,825551,427741,-1,-1,303095,-1,555622,959845,195294,-1,485505,-1,701998,-1,59876,-1,-1,198470,-1,751330,-1,-1,719272,-1,637433,485110,993257,-1,238845,625494,311628,383528,-1,906330,927112,-1,360722,-1,422711,-1,38199,-1,-1,-1,472775,864013,887046,797113,448714,-1,106150,110291,-1,539741,212217,-1,-1,957023,-1,38169,-1,738455,-1,-1,-1,566260,-1,98310,498451,-1,-1,211475,759399,-1,-1,300122,-1,317140,-1,645976,-1,-1,392736,910378,834343,244152,552141,142040,-1,-1,-1,509822,590779,722698,906964,-1,771704,-1,-1,-1,85518,340938,246180,-1,-1,220301,220224,-1,-1,-1,-1,914855,456351,408717,-1,630786,-1,-1,23407,-1,-1,-1,173741,529700,-1,285640,467924,-1,-1,766021,932588,883037,949493,-1,848161,-1,247346,-1,-1,182574,506130,951164,153934,-1,752526,53213,-1,-1,509970,785087,-1,-1,130649,12426,-1,982146,-1,-1,176102,769239,-1,-1,603440,605847,-1,-1,759069,-1,-1,601652,-1,835983,226037,154411,-1,556814,171790,618631,329654,-1,-1,-1,523534,-1,62310,537726,844896,-1,354820,-1,432695,-1,-1,-1,-1,150772,665529,164440,-1,-1,329238,59571,-1,-1,-1,940999,884951,513742,-1,395064,-1,-1,795412,-1,-1,-1,16604,-1,605167,-1,944277,577425,-1,-1,649490,-1,-1,-1,194570,746731,-1,-1,-1,700533,-1,-1,-1,399456,-1,748188,875195,433529,588660,-1,-1,-1,-1,796595,586990,-1,-1,618933,-1,-1,-1,82881,-1,-1,765069,897428,569611,659136,-1,990081,192829,-1,114649,-1,973632,433696,352374,-1,286018,36316,-1,742903,-1,330590,-1,-1,-1,-1,38358,170201,805615,-1,-1,-1,-1,-1,-1,253487,299869,497527,-1,875080,924796,853713,660236,376547,814981,-1,298434,-1,-1,-1,450146,-1,194482,251943,581567,208687,-1,-1,888771,-1,101954,861938,621331,-1,-1,-1,962795,-1,347986,971012,-1,-1,261835,626133,201429,-1,677192,-1,-1,-1,521423,-1,-1,-1,588665,109363,-1,695770,556177,472031,927225,934387,-1,97644,-1,-1,793171,629369,25170,597127,596903,-1,572909,-1,-1,-1,672125,-1,-1,-1,-1,898604,-1,-1,294556,299612,-1,139797,-1,844973,-1,-1,301554,844172,-1,532950,-1,640169,-1,-1,-1,-1,-1,-1,684865,-1,558669,-1,-1,-1,231744,727071,592245,-1,895088,563424,-1,956956,-1,-1,-1,706163,-1,-1,978645,-1,22948,966190,42165,-1,-1,-1,639453,-1,506986,-1,-1,439801,665744,111990,-1,-1,-1,-1,-1,484758,-1,-1,-1,131560,-1,-1,714196,555131,-1,-1,-1,775316,187849,-1,-1,997003,293818,25955,-1,350704,491587,-1,852894,212111,-1,-1,503594,696264,-1,-1,-1,-1,-1,-1,-1,451748,811938,875641,147576,-1,63974,214472,-1,396537,-1,219290,-1,956001,-1,-1,-1,-1,658997,-1,-1,-1,923333,130565,83439,-1,-1,455161,-1,-1,-1,121711,-1,-1,-1,-1,572599,168220,489693,-1,788082,-1,-1,-1,-1,693989,814300,-1,776501,-1,-1,-1,-1,-1,-1,646095,765262,815284,102184,-1,424177,-1,239082,780035,862687,630022,-1,-1,224595,-1,806283,209255,888388,102263,282430,790842,-1,780202,-1,42556,377913,-1,762640,95860,574885,-1,244963,-1,25679,-1,-1,635350,45611,-1,-1,857394,-1,-1,713006,326196,-1,-1,-1,-1,90393,-1,-1,-1,581985,695597,181597,-1,177836,727003,-1,76678,-1,-1,-1,-1,523879,-1,36389,-1,-1,941962,934896,-1,-1,813448,-1,867432,-1,451872,417478,-1,-1,-1,-1,868294,983520,-1,958311,-1,798908,710919,801561,247477,-1,178061,806567,660749,41497,734490,140913,3701,88093,-1,510553,269073,819177,-1,455220,-1,639115,951725,407384,-1,-1,10826,-1,-1,-1,-1,210206,339611,133834,-1,878217,-1,-1,-1,-1,-1,572562,866581,459017,793872,270680,310712,-1,-1,430069,-1,-1,-1,301389,186722,-1,209707,-1,-1,-1,-1,-1,945370,-1,320431,-1,977789,-1,931814,472539,442771,-1,200789,-1,-1,-1,-1,-1,-1,114899,528032,-1,-1,856677,-1,-1,-1,394783,-1,136914,-1,-1,764824,339274,-1,235382,-1,631907,158139,-1,-1,979320,-1,-1,-1,-1,-1,506403,-1,453966,819624,222630,403855,-1,-1,-1,495087,-1,-1,-1,155321,-1,105756,-1,851646,-1,-1,-1,-1,276229,763324,547081,-1,38272,398338,-1,602528,-1,606429,-1,510566,-1,898597,-1,-1,628903,-1,-1,784577,-1,-1,-1,-1,-1,803510,-1,-1,-1,402749,366465,369088,-1,-1,901954,397137,-1,160373,613674,-1,-1,587840,249803,-1,-1,-1,-1,754576,-1,-1,-1,-1,587562,-1,363852,893533,-1,-1,-1,749428,369920,-1,471925,-1,-1,-1,-1,892124,413020,481427,93405,16396,328226,25266,-1,-1,219050,260713,-1,-1,-1,-1,-1,-1,836196,-1,161848,-1,-1,-1,-1,-1,239030,574033,842195,-1,-1,-1,-1,614952,-1,189702,53468,-1,-1,-1,-1,549704,-1,50241,214498,15658,-1,-1,973623,933294,-1,-1,772119,754745,-1,869002,-1,281109,874706,-1,926652,-1,-1,537090,507658,620311,-1,236643,-1,996136,-1,-1,-1,-1,695165,951342,-1,725612,-1,-1,-1,945186,107897,422947,-1,594619,608892,-1,-1,-1,-1,623589,-1,-1,684071,499277,-1,-1,351325,562089,445698,384451,-1,-1,-1,-1,-1,-1,248037,46092,841305,-1,-1,192958,777772,796076,441474,157137,-1,-1,152836,-1,-1,-1,411559,350914,196393,418321,905701,-1,676151,-1,-1,546654,-1,21059,-1,-1,920379,189884,493540,238933,-1,889919,-1,-1,804043,62625,92489,-1,30004,376041,156016,682520,852969,-1,-1,-1,857134,377517,-1,-1,950475,621662,-1,43979,522468,495910,-1,334824,-1,-1,-1,-1,-1,-1,-1,-1,631454,311292,535167,-1,97167,435946,-1,944676,-1,-1,-1,721430,-1,-1,-1,461277,-1,-1,762963,749911,-1,-1,386632,371886,5340,-1,-1,490471,-1,-1,613125,-1,945446,745585,-1,238555,-1,-1,-1,-1,647457,966662,-1,-1,17487,134764,-1,-1,243477,-1,744124,-1,-1,862891,-1,621663,-1,-1,-1,773502,159557,854982,-1,673357,-1,-1,731091,533709,160114,-1,912517,-1,-1,-1,-1,636390,938256,-1,472592,-1,26307,-1,-1,-1,-1,841595,-1,433950,525704,368921,593914,791047,534676,-1,-1,95111,330406,-1,-1,381373,914752,-1,-1,29125,-1,369467,-1,920683,-1,123927,-1,328432,-1,722490,-1,-1,155302,962246,-1,-1,90708,280213,284074,172758,-1,-1,363507,82194,639638,470128,723660,630618,890491,-1,99110,124139,902420,337337,-1,730174,-1,-1,-1,860478,988996,-1,-1,-1,-1,682155,315959,896121,435903,-1,-1,-1,245100,-1,906004,528362,558981,14235,-1,567077,-1,135615,682528,-1,-1,25355,-1,-1,-1,-1,-1,-1,-1,651822,728393,-1,33554,553009,587673,-1,-1,-1,-1,790902,358407,-1,863644,-1,177891,-1,-1,34776,-1,-1,-1,708371,-1,-1,110431,934549,-1,-1,-1,167403,-1,771069,924283,-1,640936,-1,412562,668386,-1,942009,-1,981311,810577,405960,-1,91245,-1,-1,-1,-1,-1,-1,-1,380859,-1,-1,331159,341910,-1,315368,-1,-1,951328,993596,-1,427129,655644,279067,-1,-1,-1,-1,7790,486689,17943,-1,-1,-1,-1,144550,551098,609675,-1,254389,884181,305147,311166,90120,338156,348268,425793,-1,355576,790325,-1,121864,177193,47292,-1,-1,-1,323215,906050,913057,-1,52522,382249,23297,278611,572041,-1,644718,961131,568021,372291,-1,-1,190738,580150,866371,-1,-1,-1,36573,399361,-1,-1,584639,811278,-1,-1,-1,-1,-1,-1,-1,-1,-1,576499,-1,-1,-1,-1,346328,581120,-1,-1,-1,986243,9251,507568,457451,-1,-1,-1,-1,-1,478132,900923,476562,17338,-1,-1,854825,-1,-1,244591,905312,548606,-1,-1,132789,-1,857382,-1,-1,-1,-1,-1,571616,358694,434663,-1,111273,-1,-1,-1,-1,704912,-1,-1,-1,782407,-1,80999,800515,646745,739647,-1,-1,486427,-1,759471,445496,-1,-1,891236,-1,393109,-1,-1,-1,-1,560825,-1,24644,-1,-1,-1,214173,-1,17820,-1,301879,-1,-1,-1,516682,-1,-1,474085,875591,61516,362332,-1,-1,791958,-1,-1,-1,65455,36944,857038,544897,-1,96974,-1,29109,265736,-1,786968,-1,381572,-1,573148,-1,596023,236330,689249,431772,441417,-1,-1,762313,-1,-1,980135,357083,336986,512691,697368,741818,-1,-1,-1,-1,-1,822393,-1,154799,-1,-1,-1,-1,-1,997658,-1,-1,116189,976901,-1,744524,-1,-1,-1,-1,360394,81730,793497,955963,601829,-1,115985,-1,-1,-1,-1,-1,-1,523891,-1,733284,-1,69861,-1,952596,-1,-1,769595,-1,-1,577352,-1,541774,195653,854203,-1,-1,-1,260019,-1,789829,-1,41275,917754,12635,-1,44415,621984,-1,-1,923745,699433,361749,464870,785853,-1,-1,-1,849049,82882,220090,914952,-1,-1,471770,897007,-1,-1,-1,-1,192527,488846,-1,-1,801718,718722,-1,802347,325385,-1,598077,-1,-1,-1,59678,-1,565829,760156,-1,733227,901244,403032,-1,945266,-1,-1,682506,215543,-1,-1,-1,-1,-1,621264,124547,54330,407876,-1,477408,-1,-1,-1,859236,167746,168704,660384,689150,-1,821474,-1,-1,164785,-1,-1,11364,603572,-1,-1,-1,633829,-1,-1,645501,779032,184731,411783,-1,803190,-1,-1,-1,-1,-1,-1,-1,-1,810376,-1,-1,-1,-1,462846,-1,792023,-1,657449,-1,783117,-1,761917,-1,520985,-1,-1,-1,-1,634100,-1,666836,419754,104640,566217,453167,-1,-1,-1,-1,-1,-1,249633,218651,996263,-1,-1,-1,-1,603948,429444,-1,151326,-1,649329,793427,132725,-1,-1,698330,-1,-1,430950,567080,712952,-1,863779,-1,890534,-1,-1,613320,-1,-1,-1,892713,-1,896065,-1,478545,405636,959356,-1,-1,615123,-1,42703,-1,176249,897979,-1,519061,788778,753217,697080,59012,588094,-1,-1,-1,-1,240139,-1,66296,-1,-1,723462,-1,737756,-1,428071,-1,-1,-1,168370,877597,-1,-1,-1,-1,393987,-1,272366,19755,-1,-1,-1,-1,-1,837872,944368,-1,620396,-1,-1,-1,651669,-1,-1,689413,834513,213807,639569,373362,965005,-1,-1,-1,44580,-1,-1,-1,-1,68042,685948,852260,906369,-1,131929,-1,-1,122781,410710,797134,-1,877873,522850,-1,-1,-1,574237,369196,-1,986956,6691,308625,-1,-1,-1,-1,969852,-1,-1,-1,798740,521609,-1,599268,-1,459286,-1,-1,724244,587799,609015,-1,141646,339672,7955,-1,-1,712838,887677,229353,691677,-1,-1,-1,439202,-1,-1,-1,-1,-1,-1,113474,-1,-1,-1,-1,-1,-1,278457,472314,-1,-1,974126,978793,345870,-1,25376,-1,930981,-1,-1,11844,-1,-1,-1,-1,-1,915452,-1,-1,734199,-1,766705,-1,-1,915383,293926,264259,452182,-1,217337,-1,666604,-1,713125,804944,-1,420757,-1,-1,-1,-1,-1,959785,-1,-1,841590,-1,-1,-1,664906,-1,496636,396525,461743,-1,-1,417981,427481,-1,-1,-1,149132,-1,298940,937527,145941,-1,42826,-1,-1,658600,-1,-1,-1,363426,-1,-1,-1,-1,-1,-1,891143,85386,67303,233728,-1,-1,-1,-1,94731,336145,-1,-1,348122,629666,-1,770743,972920,-1,-1,-1,705752,-1,916467,796140,453439,-1,63477,78486,-1,22225,519736,-1,91350,-1,190454,-1,-1,921420,920155,607527,347239,66272,516692,548403,-1,-1,-1,106277,805865,430123,-1,20410,-1,428285,184341,-1,-1,-1,-1,-1,-1,-1,379825,-1,92987,807766,-1,-1,-1,647683,982290,4955,990235,963444,-1,-1,698724,-1,608885,50741,355074,962681,-1,528793,250863,-1,-1,247810,-1,-1,-1,-1,-1,-1,221048,489526,-1,344497,-1,-1,616877,614893,197476,-1,50714,178446,-1,-1,81357,709952,691770,380972,-1,-1,234237,912831,22329,703198,535817,871367,949686,637655,418240,-1,-1,362957,834778,-1,-1,909079,-1,-1,492374,-1,605966,251992,351409,-1,-1,-1,-1,-1,662629,-1,-1,279468,-1,520641,-1,-1,136362,723574,-1,855981,-1,864089,489138,439662,326547,-1,715777,294973,-1,-1,-1,-1,652325,595154,822573,299027,395574,853576,607029,582502,-1,255741,-1,24826,851679,-1,465473,-1,403148,847894,-1,667282,972943,-1,518420,881586,-1,-1,18098,278324,-1,-1,-1,748962,-1,-1,-1,-1,-1,-1,333862,151720,-1,-1,354144,-1,-1,248407,208012,-1,-1,-1,-1,-1,155021,-1,153155,103090,-1,225866,-1,-1,-1,679491,692274,-1,951728,100744,-1,421839,441539,198624,-1,-1,-1,-1,-1,224232,340149,117307,588895,753671,460738,-1,731098,-1,355593,-1,512493,-1,-1,897888,843382,-1,45092,340374,690670,477902,-1,-1,-1,519191,-1,-1,405682,78620,327620,-1,96689,372325,-1,-1,-1,237415,604717,937813,464373,-1,537384,-1,-1,693657,-1,230421,-1,-1,-1,316440,312827,-1,532161,82517,-1,161262,-1,947310,-1,733077,-1,42362,960261,-1,39627,290101,-1,996055,-1,-1,-1,424368,-1,-1,-1,-1,571338,-1,-1,741769,952217,-1,373882,714515,-1,747484,-1,618443,-1,373708,-1,-1,858846,23509,882767,-1,795653,333167,-1,809718,-1,304152,259401,110750,-1,-1,-1,878712,-1,389832,615234,-1,999614,492589,-1,-1,-1,46801,504460,827543,-1,634842,264841,407707,985311,-1,-1,93294,-1,-1,-1,837845,537590,-1,-1,964464,-1,174582,-1,-1,-1,-1,663956,-1,-1,644576,-1,-1,-1,487151,129193,-1,269372,-1,-1,392228,175389,-1,-1,-1,-1,-1,-1,776518,763807,481359,-1,805303,-1,-1,-1,861435,-1,762703,482330,-1,-1,299870,-1,-1,-1,675374,824894,741795,-1,898020,684163,-1,-1,-1,-1,-1,464065,-1,848741,926296,-1,-1,-1,-1,-1,-1,-1,-1,266367,41543,-1,-1,599703,-1,-1,-1,-1,-1,58347,-1,-1,-1,516347,90756,-1,794991,454064,-1,584760,965160,-1,-1,886607,56606,-1,-1,145385,-1,-1,357119,869127,422330,321031,844374,-1,-1,-1,171228,-1,-1,959453,-1,-1,-1,-1,55284,26862,-1,716107,-1,509680,-1,-1,-1,916938,108928,528242,-1,-1,-1,-1,997800,-1,957036,112907,1659,943456,756100,-1,-1,-1,-1,-1,-1,933313,750891,177634,838723,-1,-1,738768,980090,823939,-1,-1,624394,917978,-1,-1,901548,-1,-1,641713,-1,-1,-1,-1,188030,367425,287634,-1,868173,-1,-1,651782,-1,10122,-1,-1,643104,602313,20533,526730,-1,33431,316443,-1,-1,-1,-1,912354,178152,540788,-1,-1,796942,391859,-1,-1,699652,-1,975231,292642,-1,730892,-1,-1,-1,285664,744118,-1,218597,191663,-1,452822,698692,953336,-1,587085,934294,-1,631509,-1,-1,-1,-1,318174,-1,259681,390025,451648,859363,-1,418341,345249,10511,27527,464647,494762,337723,-1,-1,456782,541031,67840,-1,881724,-1,-1,-1,565888,-1,738887,-1,-1,117057,455047,-1,-1,-1,-1,837515,-1,-1,-1,995148,-1,9018,-1,-1,-1,-1,-1,-1,807952,-1,-1,-1,-1,250530,979726,-1,455897,-1,-1,169902,854800,-1,473368,-1,309829,479364,-1,809154,-1,-1,601108,479407,56351,-1,-1,330889,606060,-1,579007,782670,644090,-1,83697,-1,133536,-1,700769,-1,-1,547598,-1,256816,236965,-1,-1,-1,-1,93431,-1,249442,194317,572038,553439,-1,396620,94454,-1,707046,690378,-1,-1,-1,565074,-1,202887,761014,-1,-1,998453,-1,59481,-1,-1,-1,-1,-1,357075,69491,706398,-1,-1,-1,482736,133300,-1,-1,52845,-1,281396,486344,-1,449395,-1,-1,-1,-1,-1,-1,-1,755388,-1,-1,731791,-1,326256,702848,-1,284876,-1,-1,962090,524936,306591,87477,785678,-1,-1,-1,-1,496672,-1,537507,-1,403425,-1,-1,432977,929875,-1,-1,-1,962028,833040,571288,335952,-1,20383,155632,-1,177386,-1,-1,-1,424934,-1,498922,-1,533364,31828,-1,-1,-1,-1,350930,-1,832156,-1,-1,815017,874551,923205,650025,371069,105634,407511,287279,886652,308406,736657,-1,540591,21314,-1,-1,967839,-1,-1,-1,259245,60764,909564,-1,-1,881390,-1,-1,171879,-1,-1,-1,-1,285405,-1,799513,-1,-1,272820,-1,-1,313700,-1,-1,-1,-1,339499,-1,-1,-1,156639,707963,414056,975018,-1,-1,-1,751222,95667,320122,-1,-1,24506,894078,-1,-1,-1,-1,-1,-1,463200,-1,-1,435807,-1,-1,984428,215794,-1,669152,348956,513875,-1,-1,875992,889377,-1,-1,-1,-1,820424,554826,-1,832363,-1,-1,-1,-1,-1,346047,465673,-1,-1,757799,-1,174734,-1,673265,-1,732345,127380,-1,-1,282863,-1,710890,64520,108328,-1,-1,595117,102147,496947,106781,-1,-1,43363,453614,589509,-1,660684,613879,-1,217031,-1,952582,-1,-1,307458,669120,933723,220117,809478,-1,867229,-1,678072,-1,-1,918793,686186,238641,-1,-1,-1,-1,-1,243650,-1,142194,-1,360162,-1,333758,-1,-1,-1,780966,-1,126258,-1,534318,737476,747444,-1,762613,-1,-1,539004,126244,239946,196320,472886,-1,-1,-1,-1,-1,507199,-1,774035,-1,-1,88840,-1,781430,682314,980457,225031,-1,799502,-1,-1,843264,-1,862310,-1,-1,823988,679614,-1,142246,-1,623183,350330,146957,-1,995396,-1,-1,897187,698949,319321,-1,-1,434102,-1,-1,171566,76524,391699,-1,530133,834317,-1,93953,273389,810135,-1,-1,-1,-1,399076,597933,-1,682479,-1,-1,721680,-1,-1,880851,480778,-1,849999,-1,-1,-1,-1,965146,-1,-1,-1,614487,-1,-1,975992,-1,153533,-1,141807,471766,353177,27842,-1,-1,-1,-1,342971,109856,-1,-1,472888,-1,-1,720703,-1,536293,-1,833832,455287,789615,267762,-1,822503,638994,632987,-1,96238,-1,-1,100751,718537,127767,443722,850200,480573,456055,785278,-1,-1,-1,286665,563679,-1,-1,74020,72200,-1,-1,-1,-1,-1,-1,-1,-1,447512,-1,114302,520044,392795,-1,-1,-1,58276,582622,487043,-1,-1,243085,787421,357397,19583,812878,-1,-1,239315,580431,-1,319813,898670,-1,710935,-1,271307,-1,462575,480250,-1,-1,-1,925097,-1,518111,267353,-1,-1,-1,-1,-1,353204,9259,-1,-1,592420,906329,295491,-1,355284,-1,-1,131076,423967,619006,53086,689159,51180,-1,-1,-1,-1,124614,782796,51936,10549,-1,684468,-1,342126,-1,-1,57633,670700,959241,763337,-1,336244,-1,585399,718567,902949,-1,942251,-1,302257,409922,-1,-1,903801,-1,-1,-1,404276,392621,982703,466217,-1,-1,-1,-1,64964,-1,-1,91946,-1,422213,-1,447454,234034,86470,938282,957401,558769,-1,-1,577150,715688,198369,-1,-1,47371,109627,331078,-1,-1,-1,536717,777481,661903,246246,-1,490588,411967,-1,-1,-1,514010,891965,592008,988174,243963,-1,-1,-1,54378,786209,-1,-1,894864,-1,-1,893664,-1,-1,-1,748035,45977,-1,-1,15621,669563,-1,-1,-1,859478,716601,-1,951100,-1,525004,10916,-1,-1,-1,-1,874549,734229,929029,-1,87262,864952,-1,-1,971492,521337,680719,-1,448967,-1,-1,-1,706739,-1,200284,275367,-1,315864,-1,129361,-1,384188,245532,71843,-1,309092,247663,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,824847,920581,771575,-1,-1,778070,105072,167384,933660,22,-1,-1,452436,209797,-1,973812,378054,-1,-1,129372,-1,-1,242794,-1,678609,623181,-1,196401,-1,393376,9097,305362,-1,452363,499909,772871,283379,-1,-1,378999,-1,-1,861364,857926,576153,558839,98726,-1,-1,-1,379997,634730,188649,-1,462323,679593,827973,-1,-1,-1,-1,-1,207939,-1,577550,-1,698089,-1,-1,829907,402754,70917,-1,86294,216478,-1,-1,-1,973943,-1,921744,744800,-1,275148,-1,895951,35904,-1,-1,-1,-1,-1,232186,460018,-1,46167,-1,-1,-1,-1,333532,305983,-1,381220,89991,652542,305631,-1,521382,-1,200372,744022,-1,-1,993331,-1,994028,627569,907782,-1,-1,45049,-1,101739,-1,49444,220501,-1,-1,807743,-1,-1,-1,-1,-1,59284,295536,117102,784696,-1,-1,759199,71694,-1,711477,185706,-1,-1,-1,59896,-1,306118,-1,-1,-1,-1,-1,684318,203508,-1,-1,-1,443737,264516,-1,-1,-1,817634,362782,42350,459736,-1,-1,59316,-1,-1,-1,-1,973423,512876,-1,457123,-1,-1,359912,-1,-1,614798,-1,-1,-1,-1,286872,-1,-1,201028,-1,502334,256413,820777,-1,-1,-1,-1,-1,610226,539503,-1,435225,891091,969915,-1,-1,-1,-1,635769,-1,766749,125801,197553,260327,54904,999424,923357,602214,-1,826420,-1,-1,-1,-1,-1,278280,825713,-1,-1,807958,-1,-1,-1,491393,-1,-1,370943,680853,124078,575602,-1,-1,-1,198176,640812,-1,-1,-1,794051,-1,470472,659754,316998,-1,977521,54013,948527,-1,-1,-1,-1,-1,-1,464731,-1,81407,-1,-1,-1,-1,-1,79308,752859,-1,-1,81037,162829,282428,484166,-1,-1,-1,502645,835471,-1,88284,-1,-1,-1,812631,-1,692106,-1,415634,-1,-1,-1,307125,569500,-1,-1,-1,907348,-1,578419,984769,554991,-1,-1,47417,106536,681277,761971,704140,639473,-1,829585,678620,-1,750329,26514,-1,-1,-1,43718,506980,31255,-1,-1,-1,43798,234394,-1,39072,968877,109809,-1,865847,311669,-1,777380,-1,38965,611564,608136,-1,-1,525673,-1,146389,63425,903788,-1,56348,136385,-1,913262,-1,-1,-1,-1,-1,-1,-1,-1,917167,-1,360934,393391,785393,-1,-1,679303,-1,806524,-1,-1,341331,37728,-1,-1,531674,495623,-1,-1,420164,-1,328910,993380,-1,798151,434657,-1,15483,-1,95972,-1,150750,832442,787646,-1,380375,777351,-1,-1,-1,-1,395525,63756,974066,-1,351827,817333,820987,889387,-1,-1,-1,-1,146519,172003,-1,690655,209374,826162,-1,-1,192929,-1,534110,-1,-1,-1,-1,511027,248541,985033,678950,401696,-1,942056,-1,507271,-1,-1,-1,584250,-1,-1,-1,-1,938714,-1,-1,528631,-1,-1,-1,-1,718796,632020,-1,-1,-1,883462,-1,934981,707603,-1,524338,626147,-1,-1,-1,-1,-1,742610,604999,-1,-1,-1,572568,69311,-1,652934,-1,-1,767326,-1,286016,705810,-1,-1,-1,332901,-1,747958,573063,833461,105784,330734,287364,-1,592774,196900,3331,304698,-1,329023,-1,-1,249807,850985,615190,-1,-1,625497,-1,483634,-1,-1,-1,368723,619756,250975,403363,923920,471384,451782,-1,861648,-1,-1,849031,-1,520167,990314,-1,592738,372925,587303,-1,360909,402242,-1,-1,-1,662233,-1,-1,-1,719948,710559,-1,324350,574069,535509,438327,-1,374368,157477,-1,616526,977788,-1,-1,789539,-1,-1,-1,448583,315469,765053,-1,-1,886980,-1,-1,454914,511846,622946,515358,-1,-1,-1,18244,-1,-1,621940,-1,-1,323299,-1,-1,632497,50269,434630,-1,516577,833232,-1,264692,-1,892849,369844,-1,575393,-1,206839,-1,-1,694838,-1,-1,764340,-1,-1,927654,630337,991526,-1,-1,852629,-1,23102,420017,929573,-1,657040,953350,880357,924453,-1,-1,-1,-1,-1,644990,-1,258775,-1,-1,91236,-1,-1,37281,-1,-1,-1,-1,-1,-1,-1,124539,-1,-1,-1,-1,588528,-1,566011,789472,6911,134491,278048,368645,546861,468078,-1,62579,-1,-1,-1,14791,909308,-1,-1,-1,684509,803674,856098,-1,609552,-1,-1,88925,493749,655898,509754,-1,284658,652148,-1,327076,132777,-1,75862,-1,323876,559476,974117,-1,126165,-1,12387,-1,-1,22930,-1,-1,873096,-1,-1,649328,-1,-1,-1,268300,-1,93136,477368,289998,171841,775504,128962,386317,-1,-1,-1,859305,-1,-1,-1,-1,773045,361892,992691,13778,-1,949660,275166,-1,61493,-1,-1,595987,883111,250141,94826,-1,-1,-1,402804,395487,-1,-1,873176,-1,499425,74280,-1,-1,-1,-1,-1,-1,-1,228826,194160,324420,74565,821867,973978,-1,296014,820275,-1,418417,-1,322591,877058,844898,306848,-1,-1,-1,-1,-1,796149,-1,-1,-1,572370,368841,-1,-1,571667,825069,716473,772777,-1,542799,-1,-1,-1,-1,-1,294085,-1,931891,98849,-1,641154,559653,391981,-1,-1,-1,48706,-1,765699,716739,393729,-1,-1,193392,666406,-1,958450,947395,-1,-1,-1,144805,112179,568665,-1,219445,676937,-1,-1,165724,-1,840026,536665,-1,-1,894445,390689,394028,-1,438585,-1,532257,-1,164589,-1,203590,-1,975620,779963,408607,186596,-1,-1,756073,308350,516364,632797,85004,205744,167749,620889,136232,-1,-1,66787,-1,725948,-1,-1,854485,423892,-1,-1,-1,-1,102828,-1,179454,615640,306738,-1,-1,549778,750584,588752,-1,41565,358039,-1,-1,480043,943543,446037,-1,997955,-1,62471,824370,796903,-1,561027,550925,680893,-1,-1,-1,204621,928510,83114,938424,-1,-1,570309,-1,55166,281664,133799,954322,840258,116762,-1,-1,-1,-1,783335,716789,630308,-1,-1,-1,-1,324194,731369,-1,-1,-1,-1,10081,-1,-1,74856,131776,242371,383490,-1,-1,-1,-1,-1,113895,946598,881397,712437,-1,583503,-1,-1,-1,800486,-1,-1,634938,159912,-1,993329,679299,1668,-1,-1,-1,-1,-1,-1,-1,-1,352173,-1,-1,-1,-1,707349,-1,-1,275915,558343,-1,-1,165713,-1,-1,941640,735517,682213,-1,-1,282523,649197,196244,94210,385182,117563,-1,-1,556555,-1,899261,832968,971413,-1,773496,946949,-1,947684,-1,-1,777237,222181,-1,144679,-1,-1,436944,219671,217877,-1,921320,755712,-1,156515,622811,-1,858294,907993,121387,-1,-1,944987,157186,-1,-1,-1,-1,-1,-1,441408,705409,-1,649712,-1,551977,-1,-1,371616,799088,-1,655362,-1,517159,604262,477280,110716,-1,-1,-1,-1,-1,-1,-1,-1,670269,125367,431361,829917,-1,419168,-1,503469,372147,816011,-1,-1,569746,968362,542254,130794,-1,-1,-1,66706,-1,449471,166526,856597,-1,-1,219738,959952,-1,-1,836393,52384,-1,941009,-1,-1,653721,-1,-1,916202,-1,9100,961265,-1,371635,339895,118937,-1,693356,-1,497272,701860,-1,826456,-1,935251,-1,573173,-1,-1,964216,-1,422721,-1,599946,323058,703397,-1,726581,876360,596943,-1,849374,-1,386990,538510,-1,-1,-1,-1,-1,-1,201910,513575,992262,-1,-1,-1,889615,-1,768583,708494,-1,866114,-1,775835,-1,-1,780624,343183,-1,352014,-1,-1,-1,424332,612852,-1,-1,154890,402464,-1,-1,35978,-1,-1,474289,989776,-1,444534,-1,553314,624713,108337,725741,-1,-1,-1,421685,-1,-1,-1,266332,635379,822831,790198,247827,169230,-1,469836,-1,-1,-1,608385,-1,-1,543671,186397,-1,-1,448405,216858,737469,461780,882512,-1,88417,192233,-1,-1,-1,984909,-1,90060,-1,348661,634864,18482,184281,880486,-1,459958,-1,503700,-1,9644,-1,-1,-1,-1,-1,-1,-1,-1,975969,291316,556614,-1,-1,435708,-1,106404,-1,-1,-1,415738,469254,-1,270802,-1,-1,-1,473776,-1,-1,-1,777996,690380,873368,-1,-1,305925,629990,162139,962196,-1,836656,73242,-1,27881,-1,992966,743065,-1,171565,910764,682193,-1,824896,-1,534588,856784,771274,765669,-1,446518,-1,904501,390487,447472,-1,-1,665860,961623,40802,118705,805685,-1,695777,412056,24773,-1,-1,-1,-1,505467,252671,-1,-1,168874,-1,680371,-1,500329,-1,199745,-1,-1,347491,-1,-1,621573,-1,-1,699355,-1,-1,626388,-1,10318,-1,-1,-1,-1,-1,714406,604909,-1,-1,296694,-1,817772,210932,-1,-1,-1,-1,192121,740358,-1,451334,-1,-1,-1,-1,583102,-1,319564,-1,650281,-1,-1,-1,-1,-1,80563,955200,130774,120105,216555,722591,683732,-1,210517,59404,-1,-1,564046,863958,-1,810896,977528,834808,-1,-1,-1,93919,-1,295656,-1,446596,505319,102388,-1,-1,-1,-1,358321,815214,-1,-1,282332,823291,870788,409454,-1,-1,-1,473582,908521,838080,791716,886817,44077,-1,536352,479246,-1,593305,768296,-1,-1,688325,-1,-1,479019,517446,-1,388587,-1,105062,971247,-1,-1,921031,-1,490889,-1,308476,-1,92804,251115,-1,-1,385450,-1,102281,546629,-1,-1,80417,456803,835166,343521,337682,243413,-1,585997,450044,-1,-1,566428,-1,363173,574131,-1,526129,-1,-1,-1,-1,-1,-1,-1,51885,-1,-1,282165,-1,135527,908514,183822,-1,-1,-1,207422,890890,-1,182065,707418,660009,180706,825505,774378,550855,297962,368184,502733,284249,-1,-1,-1,-1,975174,858062,-1,321254,712418,-1,-1,415888,101164,362923,65451,-1,436338,-1,392680,-1,302893,-1,-1,699553,480146,390383,-1,851484,-1,-1,932429,-1,-1,-1,781593,-1,156714,452237,673441,243434,157015,-1,-1,-1,-1,-1,-1,765957,834482,-1,-1,42630,371811,858624,279173,-1,599772,472833,-1,-1,139463,-1,713340,465247,-1,-1,-1,-1,361671,-1,146220,-1,-1,367455,781456,-1,402701,615906,-1,-1,946004,631941,-1,811311,-1,-1,994019,-1,263464,982418,968952,-1,292355,-1,912658,161109,-1,-1,-1,-1,805704,-1,681657,548255,735727,200147,417522,495608,-1,914707,31537,-1,-1,-1,327266,-1,680998,-1,124703,-1,561651,-1,-1,-1,227419,-1,-1,-1,508791,477397,-1,-1,-1,-1,628164,361350,538362,-1,21861,-1,-1,-1,171743,479366,-1,-1,81265,917400,614413,290238,-1,253446,148928,563590,414070,354139,-1,701282,956576,252763,-1,-1,-1,-1,-1,-1,-1,-1,585877,-1,-1,-1,-1,359313,900648,642141,319002,-1,-1,-1,931285,95178,-1,-1,358175,-1,-1,73817,-1,-1,-1,-1,91075,362602,502629,-1,897065,185768,-1,715646,937395,-1,-1,-1,265614,835570,-1,-1,63697,249555,-1,-1,998717,488349,742417,-1,-1,-1,-1,-1,-1,468540,-1,-1,891887,102258,796832,-1,168270,565179,280864,851597,-1,167452,-1,-1,946580,571419,-1,-1,322883,689627,421959,640566,150353,924095,348340,49571,402703,-1,-1,910928,661074,-1,-1,269215,-1,874599,-1,-1,-1,-1,43104,1269,763544,468453,-1,186965,209777,-1,-1,-1,-1,-1,195046,61728,-1,135548,-1,970883,456551,777826,159407,528766,-1,-1,-1,-1,290263,-1,665183,-1,18567,-1,6505,378655,904447,222279,635918,-1,388803,-1,374397,264880,380119,687060,-1,-1,-1,-1,-1,-1,-1,292974,-1,333755,-1,-1,465548,-1,303943,-1,25747,979175,-1,304336,-1,-1,270795,-1,190651,181514,576280,89102,678843,719044,814318,-1,-1,225774,-1,335526,428680,-1,448124,-1,-1,-1,-1,944600,568972,-1,-1,680104,-1,-1,-1,-1,157657,428263,-1,-1,178359,-1,-1,747811,597921,-1,137148,-1,-1,770291,267641,236656,355248,-1,566276,-1,856160,892631,742164,147445,499387,939665,319401,-1,-1,457398,165572,656542,-1,-1,998167,-1,142295,182993,320177,-1,203016,-1,747672,229846,771452,840615,436042,-1,488111,-1,942805,-1,414775,435814,-1,86238,-1,427570,-1,702568,-1,548332,876174,185626,-1,290325,34828,356882,-1,-1,-1,724725,-1,213122,-1,-1,-1,70342,507430,-1,-1,404288,253254,6734,-1,-1,-1,118345,662389,-1,327137,-1,426850,234102,658972,-1,642346,-1,-1,-1,423172,-1,-1,-1,-1,-1,526524,984453,205563,-1,-1,770687,755458,-1,-1,136396,-1,977940,-1,350751,-1,845239,-1,823473,30633,-1,73169,-1,644739,-1,166587,-1,-1,-1,252322,-1,288940,-1,-1,470962,987230,-1,570970,-1,981450,-1,-1,-1,542430,591166,646710,2294,-1,-1,460745,-1,-1,-1,962916,51287,-1,-1,824692,411348,211468,976323,-1,887264,299126,-1,-1,328166,-1,-1,386389,-1,-1,953108,-1,-1,-1,-1,483085,-1,-1,817325,-1,285911,711172,608682,803481,-1,554151,268440,-1,-1,938107,555402,588754,944355,232298,-1,-1,296854,742482,-1,-1,803691,146357,308491,239138,418284,465869,-1,380938,379273,-1,700811,-1,4380,100608,94538,-1,547931,665463,414751,816470,-1,177735,-1,-1,-1,-1,657943,814801,426605,889983,899258,-1,-1,-1,762546,-1,-1,-1,677607,-1,526142,829175,662062,626899,259465,533926,-1,-1,-1,-1,428146,-1,-1,580087,335319,-1,-1,397035,-1,-1,-1,-1,-1,-1,151747,510576,972526,121285,-1,-1,-1,-1,470519,486091,-1,796475,-1,566446,983007,949807,429156,684374,645903,-1,998171,-1,-1,585002,-1,-1,-1,-1,966685,170850,-1,341625,-1,224525,-1,95533,921934,-1,952681,147732,989463,-1,593872,-1,-1,772083,723665,-1,-1,41827,113601,280023,-1,-1,98653,-1,233699,217444,195708,145903,-1,569917,971483,363520,-1,136548,226503,822283,46436,575380,-1,728420,869714,156538,487209,-1,-1,-1,486211,824305,460208,-1,440433,561159,232813,-1,652573,38702,142977,939271,489258,448725,773049,780672,624565,909822,646490,-1,-1,-1,544571,-1,-1,424083,111324,-1,905334,-1,-1,670777,-1,695111,-1,-1,109019,-1,195913,-1,953009,566700,-1,-1,-1,621509,208180,-1,242882,868367,479360,-1,527104,619558,-1,7943,408367,505557,205804,676535,-1,795028,-1,449668,-1,-1,108702,654549,-1,500876,-1,-1,75513,785490,-1,668031,-1,760274,-1,421849,36092,66793,550735,194561,-1,6826,698995,-1,-1,-1,621602,787432,-1,288193,456073,815165,-1,579290,-1,-1,869926,907026,490652,801465,-1,-1,-1,-1,307777,-1,594983,817268,-1,-1,-1,-1,509935,42552,484231,-1,660525,-1,831805,-1,501527,668708,954853,326318,870935,11292,-1,-1,455400,-1,-1,835066,869015,-1,591912,345578,329849,-1,359330,882248,-1,-1,948208,409638,-1,-1,950283,-1,610835,411249,485696,-1,-1,-1,-1,-1,-1,-1,921633,-1,419192,-1,-1,-1,674935,587849,770427,-1,-1,919636,-1,387459,161703,-1,-1,-1,-1,-1,645509,-1,-1,802450,-1,770323,-1,706187,-1,941937,-1,-1,-1,-1,477087,202911,5729,976377,-1,932876,104291,527626,-1,749375,748983,-1,437699,444132,239518,877091,-1,73791,741867,926627,-1,-1,-1,806131,-1,-1,-1,55448,-1,-1,642566,-1,647349,884388,881215,-1,151552,-1,620330,-1,-1,-1,54660,501319,-1,-1,264877,-1,-1,-1,-1,726358,720347,-1,596266,342401,872456,575357,-1,-1,-1,-1,-1,440900,-1,-1,-1,262430,691084,904308,-1,-1,167454,100495,-1,-1,-1,946994,-1,-1,567588,-1,272603,-1,-1,-1,633853,123591,77449,634134,-1,880917,555706,-1,-1,605226,356597,-1,674206,100543,946521,963627,-1,391755,-1,-1,111668,523204,50731,292476,-1,604977,-1,898784,429927,58971,-1,983288,90743,455243,310507,-1,689038,-1,-1,859407,-1,127117,988034,373346,-1,-1,-1,-1,254188,283375,453807,-1,-1,220378,-1,-1,-1,-1,-1,-1,-1,364366,692166,-1,-1,306765,852444,-1,131369,-1,924856,-1,836153,-1,-1,617323,549621,-1,720758,-1,-1,-1,128946,849391,31679,-1,165313,5630,-1,231204,-1,-1,408440,581883,-1,330959,304278,696219,-1,-1,488465,-1,856437,953243,634224,759720,281605,522856,122512,850361,-1,951468,144281,-1,338847,699715,495320,65639,-1,497031,905271,843899,-1,900819,452452,-1,-1,-1,-1,361406,301511,-1,215699,94502,622172,-1,794950,-1,-1,-1,672377,-1,799344,-1,52093,-1,443743,945429,789528,-1,582852,-1,968371,427417,-1,-1,-1,791105,-1,-1,602470,698806,410200,-1,540350,343351,672572,-1,681134,782054,659127,-1,-1,-1,280879,-1,967147,-1,-1,222255,-1,596591,-1,599319,-1,625551,-1,-1,833795,926232,-1,-1,-1,-1,604681,-1,114100,994658,-1,-1,728609,-1,-1,-1,823821,185770,-1,255570,-1,-1,666633,738333,93804,-1,498755,208244,-1,594194,-1,-1,974228,-1,-1,-1,-1,514594,-1,633702,-1,303457,984437,-1,971608,377807,469258,-1,638795,-1,179519,302142,989372,-1,548274,694757,-1,-1,-1,-1,-1,740540,268955,20536,-1,800196,-1,-1,-1,763374,-1,-1,-1,-1,-1,-1,-1,559829,133684,390705,904427,444528,531800,191160,731817,-1,-1,196195,843138,685283,-1,-1,-1,-1,964733,788956,-1,341827,299325,-1,377339,-1,195761,-1,830436,-1,298183,-1,797860,612302,428321,-1,-1,-1,-1,679243,112411,-1,126501,-1,-1,862200,-1,792820,283060,569096,212968,-1,992095,-1,-1,-1,-1,-1,-1,-1,676505,-1,729228,163028,745862,-1,226527,809328,-1,11734,303349,353641,-1,524651,-1,287115,293161,754570,319081,265016,155876,-1,-1,-1,-1,663698,407058,173724,819050,-1,430559,476593,-1,494735,391153,647838,729563,446829,406511,21747,-1,50722,431688,68745,548999,-1,-1,498035,-1,-1,-1,-1,451359,-1,891820,-1,432103,-1,-1,952363,-1,482583,143276,293774,998577,-1,-1,550705,-1,-1,841276,950704,-1,-1,-1,-1,-1,-1,29552,773684,794741,-1,422357,77322,-1,212250,-1,261409,-1,-1,-1,-1,-1,464058,169476,929547,831907,-1,15768,853327,555598,850397,-1,132229,29088,-1,135851,241723,-1,729334,961547,-1,-1,228516,468957,-1,-1,924475,-1,-1,-1,-1,-1,143730,-1,-1,608688,591605,-1,-1,-1,-1,-1,524118,-1,-1,-1,58460,536791,-1,958493,622010,240738,971089,147017,544478,818172,553042,-1,58764,501972,-1,-1,-1,286971,775592,776003,-1,499566,-1,-1,-1,-1,727011,406398,-1,-1,663205,14350,163592,38913,-1,-1,-1,-1,-1,285810,-1,747724,812107,-1,330733,-1,458672,623358,-1,506756,-1,-1,427590,550159,715167,152400,514521,-1,-1,638467,-1,344222,536533,-1,-1,391716,970010,894366,706222,-1,-1,641809,966574,-1,-1,-1,164149,-1,224974,247201,-1,723844,824513,-1,145087,696714,-1,-1,688915,-1,-1,455421,-1,-1,-1,843990,-1,-1,-1,32874,-1,219004,-1,442725,-1,-1,-1,499839,-1,660240,-1,-1,-1,-1,-1,-1,-1,-1,947096,-1,537991,-1,757277,-1,389818,-1,-1,-1,592616,267022,783451,667014,175880,445939,-1,675633,-1,-1,-1,-1,-1,-1,-1,231981,-1,632764,-1,955520,765358,112479,-1,205153,-1,768482,-1,908859,352474,937146,-1,-1,976827,559741,393899,70536,72259,521807,-1,891228,-1,-1,-1,-1,77116,565262,989247,455064,891727,237750,-1,449939,-1,-1,175906,-1,111624,572715,848194,609120,-1,-1,-1,-1,103484,-1,-1,997189,-1,926912,-1,-1,653180,-1,664433,-1,184142,870099,-1,436115,-1,-1,-1,-1,90461,771319,-1,249655,-1,285458,-1,-1,871839,926293,430823,-1,669017,978154,679230,654331,67362,-1,77915,582755,-1,956573,284424,-1,657851,884609,489271,-1,471576,-1,750030,-1,-1,-1,-1,-1,158357,84084,-1,47433,-1,267159,31358,-1,-1,-1,-1,923491,992202,793348,611133,-1,483417,-1,-1,911787,-1,-1,-1,642165,-1,437615,-1,563255,696800,262844,952401,-1,570240,6628,-1,69690,330437,-1,-1,-1,-1,714098,968003,774609,701457,-1,-1,540019,-1,468407,-1,747580,-1,241938,-1,411182,506880,-1,801084,419861,-1,698112,520518,-1,-1,-1,557585,998250,461782,-1,270813,911774,-1,313457,753205,-1,-1,751477,-1,463982,371331,-1,35838,-1,271641,-1,304952,462423,33819,-1,435893,133797,-1,10176,136378,468675,822312,306880,173228,-1,426383,-1,447600,560434,-1,-1,731703,2445,335740,14366,-1,-1,435972,-1,460762,-1,-1,468907,95734,55164,530978,90029,-1,685884,422185,-1,-1,-1,-1,718609,254535,-1,653794,-1,168412,-1,-1,-1,570104,-1,885471,-1,-1,186753,-1,-1,-1,-1,814720,682878,49381,-1,-1,-1,-1,269559,-1,155213,74644,829706,297733,65526,478492,341236,-1,-1,-1,-1,-1,-1,683490,720722,-1,403373,-1,-1,37126,-1,877476,-1,-1,96724,422816,262772,-1,933069,67595,-1,735498,-1,-1,-1,-1,-1,979562,684188,-1,-1,-1,-1,786640,-1,694051,146891,775043,333354,276726,772670,-1,894,-1,526538,633006,707559,977474,179937,547922,-1,444722,730425,974039,475118,351194,-1,-1,173176,-1,-1,555881,40895,-1,-1,998076,-1,-1,-1,-1,177300,-1,-1,175799,-1,-1,819417,269214,-1,883567,-1,-1,-1,-1,751336,-1,314664,163403,659635,-1,230785,512155,220867,222262,-1,92784,705647,520763,-1,-1,-1,44904,-1,588831,954226,-1,971402,314869,-1,-1,954476,-1,-1,-1,493707,702825,-1,-1,778711,-1,-1,439324,-1,-1,2243,-1,138981,790496,-1,-1,674446,526660,612224,564892,169891,-1,600799,17724,-1,-1,-1,19843,-1,-1,795949,259732,580648,-1,-1,-1,688755,989767,-1,-1,-1,-1,903969,206530,383638,361629,-1,-1,-1,-1,-1,-1,-1,404687,-1,-1,831197,425743,237626,-1,-1,-1,441283,584081,-1,-1,558188,913651,161184,-1,-1,-1,-1,200994,240610,354223,644789,868773,166817,807409,-1,434152,-1,507736,-1,106814,485658,512160,-1,-1,-1,-1,-1,-1,373081,-1,-1,905945,-1,-1,771030,-1,215930,391146,-1,-1,-1,878492,-1,-1,790072,821174,763448,-1,228086,-1,-1,507706,85465,808534,-1,-1,111610,-1,475543,-1,51498,673936,-1,535367,109609,371065,-1,-1,23510,776883,876905,-1,-1,-1,327021,856028,-1,-1,456297,-1,-1,347152,739820,-1,491085,-1,-1,-1,-1,-1,319065,58014,-1,-1,920084,868882,-1,408737,-1,695940,986992,699015,-1,362747,293778,-1,211649,752207,-1,-1,-1,-1,-1,-1,826327,-1,598625,-1,-1,588271,283981,-1,-1,-1,-1,-1,98127,361598,-1,163719,174718,-1,851479,-1,632820,-1,169116,-1,447464,-1,870620,883921,393809,-1,185551,380595,-1,-1,-1,-1,198771,835065,677851,-1,-1,803797,-1,-1,473103,-1,796556,-1,148819,-1,820513,-1,201166,436294,441670,321262,787659,738189,-1,-1,651660,382880,-1,-1,596798,-1,732834,906431,-1,518803,-1,-1,-1,261703,-1,917985,-1,530621,-1,-1,-1,215877,991188,82907,764651,-1,-1,-1,-1,714944,959343,165246,-1,636356,-1,990872,263384,973257,-1,-1,543980,-1,994751,435136,711836,-1,-1,-1,146895,-1,-1,-1,-1,351392,-1,927098,-1,-1,-1,89688,300650,835657,895307,953749,161540,620200,-1,490936,-1,-1,291660,-1,-1,-1,264411,785449,-1,988170,113306,-1,899417,837030,257105,-1,877316,-1,-1,-1,-1,557138,413631,-1,-1,-1,-1,-1,-1,-1,898230,-1,-1,185820,407522,692286,658359,699956,182995,-1,782506,421948,-1,-1,992304,974662,-1,-1,33067,942501,183866,84100,-1,-1,727848,-1,-1,-1,964910,-1,-1,-1,104703,380825,259364,-1,-1,968865,757122,-1,977560,-1,-1,-1,-1,-1,-1,235110,-1,233852,-1,-1,677015,-1,805694,-1,-1,809756,876848,-1,-1,-1,752905,-1,-1,-1,-1,287864,-1,-1,537896,-1,-1,-1,23729,-1,478271,-1,183500,669044,-1,392478,-1,-1,-1,150238,-1,87793,863272,371176,-1,-1,-1,-1,584546,970665,46513,557275,1898,-1,739313,-1,22726,817327,699584,-1,-1,-1,935878,-1,-1,294889,141565,73704,-1,-1,691100,595545,-1,-1,654208,-1,721717,187625,875829,-1,-1,348764,-1,-1,388156,-1,174357,977361,-1,-1,-1,-1,-1,-1,908169,739257,-1,-1,906237,580383,145081,-1,648318,925803,-1,532105,-1,406092,202690,742793,824835,707039,-1,-1,539976,-1,120811,-1,-1,-1,-1,242311,-1,-1,-1,689887,292639,-1,23486,99154,103956,-1,401360,-1,-1,892662,601952,-1,-1,571127,-1,-1,933960,835944,-1,-1,163384,690508,-1,823778,564478,-1,-1,600012,101018,-1,-1,51349,81061,-1,-1,-1,113022,194319,979665,-1,-1,-1,150677,183431,609742,-1,-1,-1,544753,896940,215715,-1,323855,522583,-1,449889,537454,119677,-1,-1,-1,53759,-1,-1,309490,-1,-1,765268,-1,-1,-1,-1,335784,-1,-1,840308,-1,-1,-1,31460,686010,-1,359796,-1,-1,563455,192360,726730,-1,606423,106318,-1,-1,-1,731597,585360,736888,-1,181365,863346,-1,244668,860238,-1,974392,460682,-1,57876,-1,-1,-1,418947,918926,-1,757248,466480,-1,-1,-1,312275,-1,31707,-1,-1,768511,-1,-1,-1,649888,-1,816529,-1,-1,-1,-1,561042,-1,-1,-1,-1,-1,666909,497450,268341,-1,26161,-1,496626,597645,-1,-1,-1,848481,556654,-1,-1,-1,30678,-1,-1,-1,755839,-1,-1,321281,772088,-1,-1,418221,-1,502330,918249,548063,-1,924647,974003,258249,-1,-1,-1,-1,-1,501711,-1,800786,270939,-1,908933,629858,540697,737823,905377,-1,-1,45852,10202,-1,705812,791947,-1,36507,-1,16298,-1,-1,870880,160010,744339,-1,348314,-1,-1,-1,452034,277512,610642,-1,-1,163048,-1,-1,536583,-1,271612,-1,262671,919610,-1,117753,-1,946012,443354,-1,-1,635397,-1,-1,707599,63616,-1,-1,-1,-1,-1,-1,930132,-1,-1,652765,-1,-1,-1,-1,359620,-1,-1,355783,-1,25674,-1,-1,-1,-1,656503,-1,-1,-1,-1,-1,668920,-1,267299,-1,-1,546579,-1,-1,602134,373573,872777,-1,-1,268699,637329,-1,-1,-1,-1,165723,-1,866236,-1,316862,272326,846546,-1,-1,-1,-1,939173,-1,789261,157670,-1,-1,-1,723498,972255,-1,484942,-1,-1,382251,987668,-1,258540,461547,-1,545870,-1,-1,-1,925255,270046,853974,52025,-1,110360,-1,463265,919535,580797,461131,40604,-1,356323,-1,16193,76909,-1,-1,841090,85043,-1,270806,-1,-1,-1,786528,744234,559038,131847,933400,624468,912209,-1,604078,147852,105040,-1,-1,-1,-1,-1,438010,-1,891194,-1,791833,-1,86659,-1,-1,-1,-1,264564,478816,369095,42079,151728,54463,-1,620606,-1,765763,916925,256692,669932,274552,167426,465727,12160,563926,-1,321709,977775,-1,-1,-1,-1,658716,239753,240647,-1,7857,-1,154053,435199,-1,988234,-1,8959,319602,655971,-1,-1,1149,274290,-1,-1,19952,-1,123044,-1,512338,181353,-1,-1,996646,-1,159937,-1,-1,284688,-1,445972,149813,-1,-1,-1,788087,198854,185944,183908,864599,656153,964036,-1,994864,923706,81775,-1,-1,910777,366859,-1,-1,878301,-1,114189,-1,-1,190905,-1,-1,527110,-1,605204,636376,943409,3614,-1,747435,764474,796574,-1,-1,-1,-1,973691,-1,589528,-1,366669,-1,-1,-1,267659,778406,-1,465368,408090,-1,-1,-1,-1,910441,43432,-1,605004,752273,-1,736668,477305,418347,-1,-1,176618,497501,173767,135290,-1,-1,768967,372460,993941,-1,85485,75276,461,248776,-1,-1,-1,780462,822250,790255,-1,-1,344280,506193,263533,478922,-1,-1,-1,376294,-1,-1,82745,-1,-1,-1,52991,216512,455997,-1,-1,-1,-1,-1,702501,82019,-1,216980,422506,779916,288622,22957,97740,839556,376028,-1,601089,-1,108612,43492,-1,329719,-1,352681,-1,-1,25033,-1,625834,633265,-1,-1,621493,-1,-1,-1,-1,803974,-1,769560,509789,418771,-1,874942,-1,-1,-1,-1,-1,-1,-1,709188,626073,44000,-1,-1,-1,86900,752242,-1,502789,535857,-1,16059,-1,595005,43299,-1,999884,424140,547079,-1,-1,592157,-1,239841,-1,815098,-1,-1,307010,-1,-1,682128,70850,-1,312625,192982,357055,598804,228577,-1,-1,286044,207151,76679,540652,754338,922206,252159,-1,782098,822127,454937,-1,-1,421384,-1,-1,-1,712540,-1,-1,-1,-1,198599,-1,-1,-1,-1,494276,376241,-1,587509,680782,852494,23016,-1,-1,199949,-1,812897,-1,786933,-1,-1,-1,-1,-1,764077,-1,820684,990588,-1,-1,-1,-1,917702,-1,-1,-1,-1,-1,333064,-1,662813,948540,-1,-1,442896,-1,-1,182686,-1,-1,183467,-1,147055,-1,-1,277986,-1,-1,-1,-1,867996,-1,518931,-1,-1,-1,233456,492040,434333,-1,-1,-1,647292,-1,816585,651887,910716,-1,243669,-1,-1,-1,-1,-1,868713,769209,-1,-1,-1,-1,-1,632393,-1,-1,-1,-1,-1,-1,-1,379067,-1,-1,-1,-1,283738,-1,-1,860961,302823,-1,-1,-1,-1,-1,503927,-1,-1,951454,-1,-1,-1,-1,368501,63140,929759,-1,391700,662852,794700,-1,-1,849317,-1,-1,544053,-1,-1,-1,179104,137822,902920,-1,-1,-1,-1,-1,-1,-1,514223,-1,339109,243773,-1,315584,-1,-1,262428,-1,658218,539619,284656,-1,-1,442243,411555,-1,732552,-1,-1,-1,678109,413858,-1,393204,-1,595507,808365,-1,-1,-1,-1,388877,-1,-1,-1,711620,59777,144217,66697,350897,454510,772866,-1,805775,849992,-1,-1,-1,-1,-1,947360,391836,-1,-1,-1,-1,667158,-1,-1,19916,-1,29261,-1,-1,26548,-1,-1,891497,46979,174273,-1,340591,975784,-1,-1,-1,107169,-1,-1,529183,-1,-1,257092,-1,-1,794979,-1,48471,-1,-1,-1,-1,-1,290387,-1,448922,870764,316486,158333,581136,333930,907914,-1,-1,530249,-1,-1,-1,382252,178930,-1,-1,592237,-1,-1,-1,-1,-1,695440,315815,-1,902287,550013,-1,770861,-1,340558,749363,430039,-1,-1,159936,633785,-1,-1,-1,836435,-1,-1,-1,-1,-1,981687,793291,524376,758042,-1,-1,559996,401056,-1,-1,902387,-1,60287,-1,976451,-1,-1,842919,291111,-1,-1,498690,-1,-1,-1,545704,-1,-1,902248,-1,567574,513027,-1,-1,-1,-1,181148,546030,-1,485933,911593,28825,-1,75059,448278,-1,-1,-1,-1,-1,243327,-1,439008,566716,565304,212287,-1,350212,363221,107939,259418,-1,-1,-1,-1,549805,-1,485362,282069,-1,-1,46383,609474,-1,599248,-1,-1,795138,985337,-1,-1,485141,604595,124993,-1,-1,920201,-1,911801,432220,-1,650088,463969,-1,-1,340887,-1,-1,976406,-1,757047,493095,-1,888137,-1,-1,-1,171550,286576,567575,299889,-1,-1,705048,392727,-1,67698,-1,-1,540925,46397,42971,-1,-1,-1,172176,-1,-1,571772,-1,985254,802350,982182,-1,14389,-1,598573,668522,27455,15892,877576,-1,-1,-1,-1,-1,698131,-1,-1,568718,980028,576038,-1,-1,740893,911406,-1,-1,293442,-1,-1,-1,126847,179731,20503,-1,-1,392129,224550,-1,-1,219578,-1,-1,-1,282605,75374,-1,344324,695543,285000,-1,-1,714255,894541,-1,-1,-1,859327,-1,-1,-1,2991,306224,380694,-1,596492,-1,-1,-1,-1,-1,-1,755442,477580,-1,-1,969314,-1,654179,-1,32865,653678,997664,-1,691858,990905,145558,-1,980350,591867,881137,-1,-1,362089,-1,488484,928477,-1,-1,-1,-1,-1,241373,520746,503121,139539,-1,61986,-1,4511,-1,-1,101666,932482,722103,-1,29247,-1,-1,-1,34438,-1,5497,-1,-1,153700,619306,59187,-1,500241,-1,-1,438542,566324,-1,336108,-1,564742,-1,789870,-1,-1,932988,-1,-1,740717,105104,573407,177823,208292,188139,860109,-1,-1,-1,516622,-1,606189,-1,933325,681410,602530,-1,444067,991959,-1,-1,-1,401671,-1,-1,497364,-1,-1,604240,919944,-1,178797,495636,28677,176874,905993,594999,-1,-1,-1,-1,-1,227747,-1,231882,247083,-1,-1,923200,400037,-1,-1,693099,154846,-1,-1,137054,842642,857692,-1,-1,-1,-1,-1,174290,228256,298140,-1,-1,952483,-1,-1,224537,826430,-1,281908,-1,-1,-1,-1,-1,-1,398339,-1,-1,-1,903442,988254,486816,611276,900306,91027,913613,907270,652459,-1,-1,201716,-1,-1,777921,6842,-1,-1,538875,851870,-1,-1,-1,-1,-1,-1,457632,450483,-1,-1,-1,147123,-1,459678,302152,323909,-1,-1,298781,264203,-1,-1,607973,907322,804886,-1,833071,806774,-1,223151,357584,688385,56647,578529,-1,90857,669133,554088,-1,-1,-1,833760,-1,-1,-1,580453,-1,-1,126781,-1,-1,111817,-1,-1,374168,690345,-1,-1,139459,-1,980070,519252,884098,685871,907065,360355,-1,972127,-1,-1,-1,-1,-1,-1,-1,769577,947454,244291,971370,994129,966062,-1,-1,-1,-1,98191,188428,-1,973244,-1,-1,-1,-1,110960,751491,-1,734600,-1,219422,831392,333971,-1,196585,156870,999225,776212,-1,-1,384229,-1,758483,-1,-1,-1,242135,195710,-1,830991,-1,-1,-1,284216,-1,120677,-1,-1,182416,259444,575531,-1,769110,911167,554674,-1,-1,-1,-1,-1,-1,-1,346342,-1,-1,-1,554720,-1,-1,835271,-1,-1,-1,-1,529903,342877,-1,-1,-1,-1,-1,-1,-1,246887,736616,478057,575972,-1,534004,-1,874491,-1,-1,-1,86053,-1,661861,-1,-1,-1,-1,806284,419221,20278,677368,448629,-1,-1,380578,950039,-1,618242,276356,147126,-1,745951,-1,-1,-1,-1,218572,982469,-1,-1,-1,-1,-1,-1,427786,-1,594678,532745,-1,-1,836527,193989,485311,429076,992249,463239,869422,-1,182086,114017,-1,896893,-1,-1,-1,800844,-1,-1,-1,721901,101402,558550,-1,-1,-1,636002,-1,-1,416295,886370,832273,-1,-1,-1,-1,259196,-1,-1,-1,-1,-1,612823,-1,-1,739498,362860,60010,795575,-1,-1,791424,-1,500060,356098,-1,802273,-1,361947,548566,-1,906990,-1,996520,411265,-1,-1,318227,154104,660682,-1,497113,80572,-1,674770,-1,-1,-1,715541,-1,-1,-1,169933,-1,979609,-1,-1,145020,511500,490536,382370,-1,320698,198154,638119,-1,178920,439834,97002,-1,735853,303980,-1,-1,-1,-1,-1,799980,-1,-1,943332,-1,297290,-1,-1,406913,802610,-1,142371,-1,179662,-1,-1,-1,-1,-1,276063,987834,-1,-1,538434,327624,-1,-1,-1,164717,-1,921953,872361,-1,618118,363898,-1,59607,-1,21468,-1,954105,-1,665209,-1,-1,-1,-1,923922,201009,825196,72566,-1,-1,934847,-1,-1,70094,-1,-1,-1,-1,500528,-1,993865,-1,785686,-1,222303,-1,21981,-1,-1,-1,-1,-1,-1,-1,-1,-1,161718,-1,733865,-1,-1,-1,221919,-1,-1,-1,-1,-1,-1,-1,675071,867326,-1,208622,971731,632536,-1,532744,536664,8038,-1,-1,-1,-1,812856,283604,-1,-1,-1,847289,649842,97265,943792,-1,664040,923268,146968,-1,-1,-1,777567,-1,-1,-1,51587,-1,-1,830282,-1,-1,282082,-1,529955,-1,-1,-1,-1,322093,901472,-1,-1,236365,609966,639383,-1,17523,-1,336785,-1,200075,143519,-1,780748,138595,939393,128284,-1,-1,-1,907966,-1,-1,-1,392626,-1,171960,688907,798076,-1,-1,-1,759666,527258,602032,517486,-1,403961,891904,759418,619992,-1,88584,823067,75335,-1,-1,207073,-1,-1,255318,-1,313648,945895,-1,-1,-1,507193,-1,-1,659878,754340,-1,793401,733036,694216,377056,335765,477485,939965,-1,-1,428482,-1,790555,654594,-1,897660,-1,-1,172716,-1,302166,-1,-1,841951,286249,-1,-1,-1,-1,-1,3286,-1,-1,-1,802331,-1,-1,-1,-1,-1,-1,785019,-1,-1,947039,415829,-1,-1,-1,-1,-1,-1,767362,-1,241777,-1,-1,-1,362774,577648,734130,-1,-1,-1,-1,982804,298906,589386,-1,-1,802391,-1,23751,-1,104706,-1,-1,985923,-1,-1,288643,-1,683932,309776,-1,230477,-1,107663,-1,591037,578585,-1,154534,-1,-1,-1,518379,976427,-1,-1,303554,-1,929348,568647,-1,198957,-1,-1,-1,523057,-1,-1,271697,98008,-1,320544,-1,704176,-1,-1,382323,-1,-1,-1,-1,-1,-1,-1,709665,378993,190870,-1,900351,-1,820825,140766,815773,542330,747160,881179,425319,-1,-1,-1,673729,782737,224253,192823,822566,-1,-1,-1,588267,279705,-1,-1,965337,74206,617536,679083,-1,622432,423322,-1,-1,727026,-1,-1,-1,-1,-1,110251,143632,220102,148269,606703,283990,-1,-1,473107,-1,-1,909003,-1,543308,35989,-1,749210,904196,-1,249536,280827,-1,-1,-1,-1,865381,-1,-1,16744,568461,140210,-1,-1,592366,-1,330017,-1,443600,-1,386427,419840,-1,80595,905310,-1,-1,185167,-1,837035,-1,320333,-1,70113,-1,690286,-1,979211,-1,-1,13309,110944,475376,471264,5973,-1,-1,-1,-1,-1,-1,-1,37267,-1,-1,-1,-1,-1,-1,-1,184413,-1,814841,471407,229730,325019,224488,438876,404486,950563,-1,-1,-1,521866,501289,-1,-1,-1,146541,-1,-1,-1,144431,309531,-1,-1,740612,-1,-1,584199,577691,2190,-1,941155,-1,-1,232391,-1,559846,-1,689396,-1,-1,-1,-1,-1,578639,879869,605324,491502,992234,559992,994071,714447,-1,-1,657649,-1,-1,-1,901067,-1,763463,-1,-1,-1,67112,-1,-1,-1,840824,157223,-1,-1,396194,-1,524584,-1,-1,-1,-1,392004,599655,-1,-1,380270,-1,954724,489507,-1,-1,403179,794833,957807,-1,-1,-1,-1,-1,852868,3679,830797,199285,-1,-1,-1,-1,910637,-1,-1,560729,-1,538893,-1,-1,-1,-1,-1,-1,-1,527955,-1,-1,335787,-1,-1,614337,634123,-1,500516,833750,-1,53202,812786,-1,-1,-1,-1,-1,977367,-1,282014,-1,-1,842983,-1,358162,-1,-1,-1,1781,-1,579486,93496,307644,-1,-1,-1,-1,-1,-1,520242,-1,415506,355486,-1,-1,147460,980761,359359,102177,-1,-1,-1,-1,450246,-1,-1,-1,411649,861377,856248,864714,310266,-1,-1,486453,337054,-1,-1,-1,92599,-1,339557,58758,69426,-1,130060,-1,100650,625339,-1,-1,-1,-1,-1,-1,180186,-1,697657,-1,-1,343639,-1,395805,-1,603993,137335,503395,959432,-1,-1,997046,340749,-1,-1,-1,-1,782413,147677,-1,561096,-1,2623,523958,181350,-1,-1,175019,391356,-1,625015,-1,885953,-1,-1,199529,-1,-1,-1,884468,337864,238716,-1,126654,-1,568925,-1,396140,354988,-1,681230,948399,-1,921602,-1,883106,767040,-1,609041,506862,274698,80005,-1,67994,644145,55928,718236,763793,-1,663664,341830,-1,889999,559770,239851,794013,591209,-1,541022,11371,742925,-1,-1,-1,-1,25427,519847,-1,735224,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,33061,-1,-1,-1,-1,179316,-1,740901,652408,250663,368691,450883,860496,-1,-1,-1,-1,-1,-1,-1,-1,316431,741270,437298,138674,537995,-1,-1,939491,-1,-1,838383,465962,-1,58587,188404,196168,627688,-1,247177,-1,-1,273047,-1,-1,461117,-1,-1,453942,-1,199848,-1,-1,284533,-1,447917,-1,-1,711423,260669,743524,498541,-1,-1,-1,185347,733708,175119,-1,-1,744376,269200,572704,-1,-1,-1,-1,-1,254393,-1,-1,947703,-1,-1,156800,61337,901523,-1,789665,366177,658669,-1,-1,-1,94297,8087,-1,-1,-1,654562,-1,323684,268885,-1,-1,760983,-1,-1,883208,-1,-1,-1,-1,744915,-1,77532,838228,40682,417422,-1,-1,689389,761244,-1,457874,54438,699927,-1,-1,765161,-1,789798,-1,-1,671299,-1,92506,916169,673477,425924,-1,619235,506951,635407,-1,-1,244097,-1,168818,619368,-1,-1,-1,-1,-1,-1,729999,-1,230530,823657,-1,749888,250235,-1,160946,-1,919916,899471,944319,-1,-1,-1,429382,-1,-1,-1,-1,638088,-1,777304,-1,-1,-1,-1,451618,-1,-1,-1,468634,-1,-1,379468,-1,-1,-1,-1,648925,31874,-1,855388,532568,227895,-1,-1,-1,-1,91165,693728,458398,99146,545600,-1,-1,-1,-1,-1,407137,-1,448859,66081,-1,254222,-1,-1,-1,-1,-1,150635,-1,-1,966590,-1,-1,751352,839568,745905,200886,695617,-1,605188,182657,214502,-1,-1,-1,115114,-1,814448,44658,847732,-1,33973,-1,-1,-1,-1,-1,605132,864447,-1,652673,-1,-1,100183,-1,-1,-1,962371,-1,111418,-1,-1,455781,732209,-1,-1,-1,-1,426671,-1,-1,-1,-1,575542,-1,885270,-1,-1,-1,612767,962894,4430,-1,-1,-1,-1,923258,-1,131130,-1,-1,405844,149930,369689,364687,102391,114685,-1,307683,-1,-1,458716,-1,-1,-1,-1,807043,166099,984454,-1,-1,723394,276712,-1,-1,-1,-1,-1,198758,4649,-1,555593,345580,-1,-1,246950,654212,-1,-1,92295,191745,302647,729315,724693,-1,569444,-1,-1,-1,817984,726003,711942,-1,657937,-1,612255,-1,-1,240486,-1,-1,291481,390132,697247,-1,-1,556292,-1,-1,529746,-1,-1,174439,-1,-1,-1,630542,-1,-1,865186,438090,808505,948378,-1,-1,-1,-1,-1,773420,645655,-1,-1,600393,245956,-1,-1,752532,153007,310383,-1,-1,294373,-1,-1,-1,948699,-1,-1,-1,-1,-1,446836,421254,-1,-1,146633,-1,-1,981471,214955,-1,47616,687185,-1,360950,814013,-1,-1,821435,-1,411082,92445,862869,217838,427810,38486,-1,-1,-1,-1,-1,-1,377523,-1,263513,-1,-1,818262,588912,-1,-1,-1,659951,392244,810251,417873,-1,-1,370638,188930,-1,-1,-1,587539,-1,639805,646351,-1,67634,-1,-1,949974,305750,622193,-1,-1,47216,475392,52834,502856,524538,-1,-1,497045,219025,468155,-1,-1,-1,990949,-1,422651,-1,-1,189553,-1,-1,-1,772721,-1,734799,415710,774525,-1,568998,-1,809839,851735,-1,-1,-1,653315,266057,-1,-1,-1,804110,-1,-1,178456,-1,-1,137226,-1,985762,-1,236873,-1,-1,-1,372719,98683,198549,-1,-1,395060,-1,-1,-1,528918,-1,232842,-1,546830,-1,-1,-1,-1,-1,-1,933127,581929,-1,-1,618650,-1,375699,666617,216525,684321,-1,868166,942030,244346,-1,-1,-1,-1,638172,-1,476813,-1,248362,-1,-1,-1,-1,-1,415142,914736,-1,-1,-1,967439,247307,761527,881805,165154,834880,583621,-1,-1,48949,29317,-1,-1,857560,-1,-1,458949,167028,-1,-1,676101,909988,-1,-1,-1,956010,413177,376953,-1,-1,-1,-1,193924,222913,-1,847924,752461,407389,314101,-1,-1,167806,-1,320803,13511,889576,118560,849531,627534,-1,-1,-1,31475,-1,-1,695141,-1,680548,-1,-1,81813,-1,-1,445037,71516,953847,584752,-1,-1,292767,216456,536347,-1,-1,-1,-1,356007,67598,-1,524204,80401,634002,28309,-1,-1,-1,-1,210199,297463,-1,-1,732812,-1,-1,473111,-1,-1,142736,-1,-1,-1,692254,52423,-1,-1,-1,-1,-1,366182,-1,-1,282655,-1,520293,-1,-1,-1,-1,956769,393782,-1,-1,-1,-1,368329,-1,202300,-1,-1,-1,-1,-1,308490,-1,441430,-1,440211,323132,205364,-1,220136,122024,-1,969230,-1,822148,132464,-1,-1,224661,8388,-1,895433,169454,793337,-1,-1,787407,673694,-1,737272,909237,-1,-1,-1,749674,-1,-1,-1,104113,-1,-1,205711,-1,304214,464121,-1,485304,-1,-1,-1,309005,-1,678700,196696,-1,-1,913370,-1,407875,-1,-1,-1,-1,-1,538108,-1,224848,-1,-1,-1,760962,285823,749809,288948,665662,-1,-1,495661,614145,94101,-1,802226,816106,736655,-1,861726,-1,-1,925145,-1,-1,-1,-1,-1,807340,-1,836867,-1,-1,514767,-1,555853,866975,-1,-1,313099,-1,-1,-1,-1,273260,305089,543927,-1,9301,634241,508441,-1,559571,592198,735186,339294,-1,428514,537464,215011,732868,174200,393426,-1,315986,100195,910550,47124,327347,921316,229117,505323,963465,-1,768607,444780,481662,-1,736826,-1,-1,239968,-1,-1,720337,41385,65606,848804,662469,-1,797314,874904,326889,703364,-1,-1,740727,-1,35770,-1,962128,902115,-1,-1,-1,951504,-1,671379,961796,979597,-1,-1,515507,167207,599072,693261,-1,619607,-1,907625,961580,911226,-1,-1,-1,384178,-1,-1,22293,-1,84832,64486,-1,-1,350811,308579,931923,-1,-1,-1,-1,-1,-1,-1,207540,208399,769274,185324,-1,165816,-1,485333,256281,-1,-1,481193,-1,804322,-1,718262,765132,451805,906240,372219,294902,-1,-1,662353,-1,-1,-1,-1,378142,-1,662614,-1,-1,-1,459010,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,705067,74134,-1,-1,795401,114571,-1,-1,364027,360560,-1,309966,-1,710337,816229,-1,-1,755720,-1,279714,935502,-1,-1,-1,828852,246841,-1,62439,319112,-1,-1,621216,78566,-1,-1,470245,956134,-1,-1,-1,-1,-1,-1,-1,-1,931416,-1,809829,-1,116598,-1,-1,540562,681231,-1,466100,578127,476565,544437,448027,-1,-1,906923,-1,703328,-1,294407,14537,93604,428374,-1,19461,833713,688037,-1,-1,637292,-1,-1,-1,606116,-1,667765,-1,-1,966187,315772,-1,-1,-1,-1,-1,-1,-1,355495,-1,-1,465625,969339,-1,-1,-1,-1,-1,-1,674093,-1,533213,-1,-1,891255,923090,-1,987493,672602,775771,-1,-1,-1,-1,-1,553757,323295,36327,-1,730549,-1,981306,-1,-1,-1,-1,214790,-1,-1,-1,-1,489767,746189,-1,316835,-1,-1,971630,-1,431161,3009,-1,-1,175650,752331,-1,-1,899371,557335,683195,927592,-1,-1,447636,-1,-1,289311,-1,698258,631874,-1,-1,-1,-1,-1,-1,568390,248133,567573,-1,-1,880614,-1,347599,480133,-1,-1,571392,-1,125649,-1,361112,16722,-1,-1,826272,-1,-1,286344,146370,-1,671669,-1,375730,-1,684045,227259,178627,6233,927929,400998,391880,956452,-1,258900,871503,-1,-1,132829,340352,822828,-1,726942,-1,592571,720853,-1,-1,160348,-1,449323,-1,-1,272744,-1,-1,-1,226578,553095,908766,-1,-1,564457,-1,124465,-1,-1,-1,361839,-1,-1,65645,372326,283365,276746,-1,-1,-1,-1,433888,435983,-1,559668,-1,-1,707086,-1,-1,449859,129507,-1,536106,-1,920745,704572,-1,347833,509601,318336,-1,499479,-1,116806,-1,533528,351180,257102,-1,-1,-1,872224,-1,-1,537377,359633,853757,-1,-1,605200,-1,364914,-1,-1,470986,279625,-1,965081,502567,-1,213953,711299,96812,967410,271499,770808,-1,-1,-1,-1,405473,-1,-1,-1,-1,637349,365656,995297,374930,-1,712250,-1,-1,731873,-1,960259,-1,-1,-1,-1,-1,-1,-1,84948,257837,790593,930478,55579,428480,727911,-1,610744,-1,60500,-1,-1,1483,-1,279926,947021,903709,502354,-1,-1,-1,-1,-1,-1,35658,-1,-1,46304,890701,-1,-1,995060,142085,-1,766401,423174,619153,37119,882008,418800,431131,805098,565447,-1,855568,29204,664684,-1,704558,819703,467014,953182,546090,-1,-1,900276,-1,922296,-1,-1,-1,393719,937436,276290,-1,864523,-1,-1,-1,-1,403739,-1,-1,-1,542247,537982,-1,-1,915220,-1,-1,844556,291767,618150,-1,-1,-1,592153,-1,183064,-1,-1,464486,-1,-1,-1,-1,849029,976572,-1,123065,874290,-1,-1,-1,-1,-1,-1,-1,-1,760421,-1,-1,-1,-1,912303,-1,523874,29928,-1,360083,-1,-1,377604,-1,9441,270442,-1,-1,-1,-1,-1,199174,-1,895712,-1,-1,-1,764131,527213,-1,-1,994619,47162,116058,-1,968792,470691,-1,-1,590836,68245,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,326958,-1,-1,-1,-1,382697,926913,922597,-1,445164,-1,-1,-1,-1,-1,-1,79249,564806,-1,-1,-1,254796,-1,-1,228997,-1,650458,147083,-1,-1,-1,325206,298602,-1,247121,-1,972742,615189,-1,-1,-1,-1,-1,-1,135950,557563,-1,856105,752043,-1,-1,266535,385339,-1,390319,539105,685740,799840,242904,19328,-1,990263,-1,123352,-1,-1,-1,-1,-1,-1,530171,-1,689460,348254,616058,-1,-1,8482,420973,430861,-1,-1,-1,773195,-1,285061,-1,990197,-1,-1,-1,872446,-1,-1,-1,-1,483311,626641,681692,231299,816835,186190,679039,-1,72546,-1,-1,-1,900629,-1,-1,193957,952720,744510,-1,-1,-1,335812,-1,475703,-1,-1,448938,49226,-1,-1,614909,608832,275303,739628,291683,-1,-1,898967,-1,748447,-1,-1,870704,275421,-1,448845,-1,5758,593497,-1,688928,-1,775527,-1,-1,-1,469745,783527,718819,-1,765425,-1,-1,380337,-1,136791,-1,-1,975890,-1,-1,409618,-1,-1,158178,-1,-1,-1,-1,-1,682066,-1,-1,466109,-1,-1,335150,855877,293849,117476,-1,996378,-1,404834,40628,-1,-1,796967,-1,58905,51783,948258,-1,2825,575024,625303,-1,-1,-1,264848,-1,-1,340474,540243,804543,-1,-1,36750,783663,-1,568839,-1,58802,-1,927191,882005,-1,706157,-1,-1,559247,411714,-1,251795,-1,54918,35509,-1,-1,664449,-1,872420,907110,848355,965342,403803,-1,973728,999146,-1,765738,329553,263863,-1,594751,-1,843801,-1,-1,-1,229468,213689,-1,-1,-1,-1,53704,-1,-1,-1,538695,-1,40827,911945,375785,516696,-1,-1,122789,-1,-1,363086,702983,-1,210628,131674,681044,144687,-1,-1,-1,-1,-1,620073,-1,-1,905227,-1,389307,278854,300465,962068,-1,-1,-1,-1,805224,648425,-1,478046,-1,702998,-1,548761,785193,178373,-1,286867,452499,-1,-1,592159,493621,-1,-1,-1,-1,-1,-1,-1,655361,-1,-1,558695,-1,-1,484242,292070,200302,-1,-1,-1,-1,-1,927472,536980,500142,539419,570667,-1,-1,-1,-1,-1,381478,-1,-1,629747,-1,840218,-1,776348,-1,44938,-1,296229,756251,-1,435880,-1,231859,-1,-1,-1,-1,-1,141476,-1,-1,-1,-1,119712,-1,635010,988205,515092,636506,229369,62446,-1,237761,901687,783441,-1,-1,683317,-1,673227,140594,-1,610373,853379,987048,-1,912597,-1,-1,-1,-1,-1,768302,658519,-1,-1,-1,436861,-1,-1,590845,35885,748596,-1,858208,182725,928598,-1,457148,-1,-1,832186,-1,-1,-1,-1,-1,-1,-1,820292,-1,820682,-1,-1,886928,114888,-1,-1,511159,204411,950817,417154,373209,-1,-1,-1,619861,-1,694240,-1,-1,-1,245961,262894,15643,509573,-1,614955,242819,-1,-1,-1,-1,-1,-1,-1,340671,-1,-1,937500,46329,405619,-1,848539,562554,276309,-1,-1,-1,213343,-1,426769,-1,-1,-1,865113,597810,-1,808215,-1,-1,868399,-1,514896,-1,-1,544809,-1,-1,641521,828822,-1,647454,-1,-1,679170,349879,129693,-1,482129,-1,-1,-1,-1,-1,826764,731068,462766,-1,-1,543332,-1,573529,-1,-1,793144,913856,446435,-1,-1,941840,-1,-1,994676,-1,160524,-1,-1,388548,-1,130112,546732,900376,-1,205127,-1,-1,-1,535068,115660,-1,653639,-1,601,682109,-1,-1,-1,147991,120620,-1,-1,-1,59197,161611,-1,-1,-1,-1,-1,-1,486965,870277,517040,359342,725444,363278,-1,114192,80706,-1,195898,408151,-1,-1,635750,-1,359263,601474,-1,-1,-1,508726,-1,-1,-1,130997,438382,-1,-1,404581,794857,-1,147700,648508,-1,936285,-1,-1,-1,48631,-1,-1,806974,-1,744708,-1,-1,-1,997923,-1,60005,690803,-1,-1,771602,-1,-1,805950,-1,-1,718701,-1,391176,-1,947441,-1,-1,438962,-1,-1,-1,-1,110846,-1,616899,-1,156963,455181,973518,-1,549732,939791,-1,-1,-1,980393,-1,420160,-1,-1,778906,340168,-1,-1,-1,-1,-1,-1,-1,-1,524579,-1,590826,-1,564813,-1,817773,927065,-1,-1,724668,-1,-1,-1,-1,311109,-1,987076,635225,571318,-1,226198,75705,-1,444124,770689,209914,902909,-1,-1,-1,-1,-1,-1,-1,-1,189857,-1,-1,-1,-1,13776,-1,-1,623520,-1,899233,-1,601035,51648,75802,478263,40714,-1,84329,739346,509424,377537,117074,-1,-1,912093,-1,-1,254773,104208,106129,-1,-1,356147,-1,-1,-1,712266,722215,593782,243847,-1,-1,-1,361764,2934,813671,143286,994279,425054,-1,413810,335640,25475,405690,-1,55265,-1,-1,-1,-1,232083,534851,-1,-1,95456,-1,-1,-1,-1,-1,702109,-1,-1,483776,-1,-1,-1,-1,679494,71887,-1,-1,642177,444717,-1,-1,731377,-1,716900,-1,104211,-1,619906,317940,-1,-1,601925,-1,166853,75194,-1,-1,707059,-1,-1,578797,-1,-1,-1,-1,294737,-1,995316,240984,372451,2605,-1,633201,640801,-1,19634,-1,190580,-1,-1,-1,76269,142609,-1,327022,-1,-1,-1,817184,502636,813584,-1,-1,417762,100697,-1,-1,91925,171049,-1,-1,-1,784471,388635,721644,-1,-1,-1,-1,-1,901947,170435,156893,-1,952847,-1,-1,101641,320508,-1,868529,-1,-1,-1,-1,991914,-1,691702,278440,-1,-1,-1,-1,-1,-1,288204,411327,276764,-1,898640,89914,-1,542015,-1,614514,805441,379304,761680,844302,-1,180389,-1,-1,773594,-1,-1,794441,788155,404584,-1,93579,-1,-1,-1,151304,-1,939231,272522,466066,588441,802063,-1,203158,982754,633395,-1,-1,-1,-1,-1,-1,-1,486049,951751,938090,-1,190990,-1,-1,-1,-1,279622,222787,-1,601146,889630,-1,-1,220812,-1,593398,681580,775337,140223,-1,212699,78635,67025,-1,496242,209821,-1,28450,-1,-1,-1,-1,242901,681556,-1,-1,-1,-1,-1,374297,-1,146890,-1,436388,160591,-1,-1,-1,101349,-1,-1,899623,955114,104615,551569,430522,-1,945568,691845,-1,-1,-1,186553,781917,-1,-1,343285,-1,305821,-1,707875,-1,734402,-1,538422,12799,907676,-1,-1,94360,929102,-1,-1,-1,137147,-1,-1,608831,685220,98798,-1,-1,-1,-1,-1,519071,-1,-1,650901,-1,-1,-1,-1,880840,-1,496298,451480,613715,586247,420920,-1,-1,396365,503580,-1,-1,634476,410092,405917,986288,-1,232847,633700,942586,413434,-1,-1,-1,-1,414867,294367,-1,933926,-1,588893,703016,726102,-1,504408,-1,-1,-1,-1,-1,139243,-1,851355,-1,-1,216024,-1,-1,369200,692663,-1,495592,155785,-1,190115,820304,-1,-1,559805,-1,462838,-1,-1,571002,852787,-1,-1,-1,-1,390876,989573,998636,576913,824617,35435,23864,505109,985989,907220,768898,-1,-1,717806,326174,-1,-1,439472,622673,-1,247622,-1,544133,359879,-1,955844,-1,555109,561033,414055,352645,-1,690857,396395,-1,173701,-1,496179,812514,-1,268235,439722,-1,565767,-1,773919,216172,377467,767504,-1,-1,-1,418493,296921,-1,-1,519307,181016,254985,982914,319311,93817,-1,910061,423137,577285,274821,470640,375887,852940,707893,-1,-1,33610,-1,-1,-1,-1,-1,-1,-1,157563,699557,683278,942443,-1,-1,-1,-1,402814,743694,-1,-1,-1,675701,259494,730924,-1,882955,-1,56199,-1,457841,-1,-1,697716,-1,-1,872171,-1,985412,-1,-1,978549,387238,-1,-1,491202,-1,-1,961500,618883,577667,641875,562285,205727,606113,321030,-1,617548,-1,823126,512882,-1,-1,455022,-1,658969,-1,-1,474949,386637,-1,-1,37644,-1,83158,764972,-1,-1,887533,355801,-1,894582,588434,236595,662701,-1,26751,828804,140147,-1,-1,-1,-1,-1,-1,590985,-1,365704,-1,230780,-1,109508,-1,89999,280290,892813,-1,-1,-1,-1,619772,911744,399435,925840,300021,-1,912706,340726,-1,-1,-1,-1,-1,-1,654192,819147,-1,497552,653499,544783,101573,537026,644078,686809,185299,304892,534365,643668,82542,-1,621329,-1,-1,-1,191978,-1,-1,803642,-1,-1,461180,335669,-1,-1,712795,105765,-1,-1,144858,-1,79333,-1,949913,231750,749382,-1,-1,769350,-1,-1,-1,-1,486869,-1,360535,-1,-1,5289,937004,303265,-1,-1,-1,471848,-1,459587,-1,305493,681751,-1,739716,388041,511588,503947,-1,-1,13998,124276,700052,833255,115239,408318,858928,-1,452558,856443,876545,-1,-1,-1,382610,-1,-1,-1,-1,-1,354780,447093,-1,368261,776602,63244,96378,-1,-1,805457,-1,181192,-1,-1,-1,964624,242879,-1,-1,-1,-1,-1,-1,-1,-1,107718,204530,-1,-1,-1,98028,-1,-1,-1,193061,-1,531468,-1,249454,-1,-1,-1,-1,208484,-1,579460,700611,451031,535018,242505,-1,-1,791948,-1,469401,49174,-1,-1,359131,568394,-1,992528,165795,-1,-1,492797,873026,-1,-1,-1,543364,-1,-1,-1,-1,-1,-1,671010,-1,-1,88136,733941,547472,-1,-1,-1,668777,-1,-1,254882,-1,-1,-1,-1,9054,-1,188957,658641,-1,482516,727558,-1,110590,-1,-1,-1,143179,-1,-1,539337,587311,470822,956823,-1,-1,-1,772071,-1,380821,68888,-1,-1,-1,32003,412252,-1,-1,-1,732239,-1,927460,292951,662324,-1,-1,18471,933452,119945,-1,539948,201978,-1,-1,593844,-1,41536,-1,-1,158520,800805,-1,-1,398303,-1,706718,-1,913712,177623,-1,975710,622157,-1,311137,-1,-1,816330,-1,-1,574709,380727,141844,-1,17323,376940,816931,-1,-1,-1,367431,-1,587471,-1,783250,405545,-1,494424,-1,-1,-1,132440,-1,56877,-1,-1,-1,953699,918904,463832,84408,-1,104525,-1,-1,-1,538083,453213,-1,-1,49373,835322,-1,424951,549392,-1,588260,195531,897309,617587,-1,598284,85810,-1,-1,97691,886319,-1,624785,-1,481152,942240,-1,-1,522250,-1,-1,216229,923842,827370,734097,-1,-1,-1,-1,-1,323369,-1,45933,-1,502621,586343,-1,843822,-1,-1,70950,531502,181956,776004,-1,-1,-1,531994,35711,461394,528805,628901,-1,-1,586507,-1,902429,965524,-1,-1,624142,724319,389804,-1,-1,-1,785154,154899,34230,-1,-1,-1,436835,-1,151821,-1,266945,551859,-1,-1,-1,-1,776202,-1,9676,869539,796974,222392,849513,-1,330405,-1,319774,-1,509327,-1,-1,-1,693972,800220,-1,885091,-1,-1,223756,955364,723631,-1,943284,-1,93318,463543,607845,-1,-1,254071,-1,-1,420970,-1,-1,659353,-1,8088,368999,-1,-1,432719,145860,79898,-1,351985,-1,222714,771537,-1,970365,-1,263807,336740,-1,994329,-1,398047,-1,394030,-1,-1,518812,636264,-1,-1,717199,-1,-1,224085,649859,-1,381071,-1,-1,268094,107966,-1,224446,-1,256026,-1,435947,-1,562763,-1,967663,-1,27798,-1,-1,-1,-1,-1,569764,-1,-1,-1,-1,-1,-1,-1,-1,-1,68808,-1,-1,-1,-1,-1,-1,292519,348424,834555,-1,-1,-1,-1,415529,-1,910587,200380,-1,654856,-1,-1,710259,-1,329903,762513,681087,500018,447866,416466,-1,656133,411872,46080,-1,-1,-1,-1,550772,-1,-1,-1,-1,-1,720275,-1,347850,-1,434249,707186,986953,828045,-1,198871,-1,-1,-1,781868,718350,715065,-1,788170,-1,-1,811408,-1,-1,484891,202238,669504,-1,873733,366488,-1,-1,643883,-1,722111,-1,235341,-1,-1,160089,792564,-1,-1,244203,459679,-1,-1,-1,448720,-1,412147,740477,-1,-1,83905,-1,69267,873755,-1,-1,573752,50946,926757,588764,821166,261899,-1,434991,-1,625267,-1,-1,-1,-1,548932,278243,-1,280877,-1,60077,-1,534731,-1,42973,-1,-1,-1,-1,96989,-1,164643,39344,-1,968886,79943,-1,-1,-1,-1,-1,-1,-1,-1,603249,593552,975208,213847,-1,390208,439829,743086,99094,-1,-1,-1,-1,-1,-1,-1,-1,731998,-1,32693,-1,-1,-1,765764,210233,361813,-1,-1,-1,180021,-1,405673,510192,397818,-1,-1,497210,786909,-1,-1,928287,350256,-1,-1,-1,210929,-1,722995,107087,172344,489436,-1,151915,861274,431608,-1,-1,-1,-1,-1,-1,-1,449537,-1,273789,333663,581801,-1,751052,-1,-1,249201,-1,682706,-1,853143,-1,-1,755192,360734,351146,541166,-1,-1,445686,584721,401548,807153,-1,-1,733005,575367,-1,-1,-1,482649,949170,215175,22276,-1,439681,-1,106917,640040,758607,-1,-1,-1,-1,-1,-1,-1,593281,123205,737940,99651,-1,973302,23144,857424,411484,166598,-1,636092,-1,552130,-1,867811,979715,-1,75324,-1,351384,42664,-1,698926,-1,958617,-1,-1,671511,568149,103620,951619,775170,94387,275887,31156,-1,581684,822811,37482,658854,-1,-1,972757,-1,-1,-1,492016,-1,-1,164314,-1,261016,-1,96209,-1,-1,344474,-1,-1,536326,-1,57286,-1,896989,831357,-1,822917,-1,917339,812817,289170,426885,-1,-1,-1,-1,618068,761127,-1,-1,763776,-1,228860,834501,-1,173613,-1,-1,486486,721955,-1,-1,-1,-1,665731,-1,627282,-1,865044,-1,-1,-1,-1,-1,-1,-1,-1,870697,711395,688465,488507,870812,4196,35302,-1,-1,-1,-1,-1,598229,-1,34664,144842,939279,524938,336139,-1,256967,-1,27916,25263,146803,279616,-1,388812,3566,-1,159113,290306,970141,677027,745834,-1,627890,174285,-1,827911,763935,-1,340707,808197,-1,-1,824103,-1,956790,409318,-1,-1,974320,333517,-1,422639,-1,-1,619148,-1,-1,821539,391373,-1,552691,62986,89112,69535,-1,726679,278897,274149,-1,-1,-1,-1,132934,549474,-1,52562,699513,-1,939508,-1,76906,-1,-1,929761,-1,348503,-1,76696,-1,-1,19145,820880,-1,-1,-1,-1,-1,-1,883978,616326,181527,481333,-1,-1,221421,122747,-1,593508,-1,109394,304841,-1,562049,598903,41372,126764,-1,-1,-1,244377,-1,-1,494288,-1,60794,-1,729132,386931,-1,-1,884831,403864,282066,809856,341735,-1,-1,-1,-1,917770,950800,353942,586803,115823,-1,-1,115622,443667,-1,747826,799556,-1,680720,-1,-1,758022,-1,404240,386145,-1,-1,-1,478026,608672,776526,-1,-1,926903,-1,922354,637295,465081,340724,-1,-1,-1,833793,-1,586408,-1,946690,-1,647981,-1,272594,-1,415983,694972,-1,44944,291400,284342,261606,434209,-1,-1,-1,307870,747854,-1,-1,526638,337185,994160,-1,583878,-1,470356,-1,-1,-1,543321,176214,-1,-1,-1,395298,863490,497173,863425,704435,344152,963928,779943,270973,356592,148380,319366,270471,251931,-1,-1,-1,-1,-1,705330,712505,49641,-1,505361,-1,-1,867239,-1,172005,463314,171607,-1,-1,-1,606037,506659,-1,147599,189277,115830,771416,73229,943027,339819,-1,-1,969316,-1,954059,-1,591225,293556,-1,-1,733447,170555,862562,359793,-1,-1,-1,773163,-1,903336,393655,-1,-1,-1,-1,-1,-1,-1,321152,809746,259066,608781,-1,-1,560495,-1,210198,667728,340614,-1,244939,-1,899470,-1,-1,315443,-1,-1,-1,491740,751485,-1,-1,-1,-1,874504,-1,-1,-1,300673,-1,836285,-1,-1,419911,941070,-1,851485,191815,119403,-1,-1,291384,-1,-1,143732,727566,589841,-1,-1,-1,-1,-1,-1,-1,974349,78865,798713,-1,-1,10352,65669,249756,-1,602866,-1,-1,27470,368939,118126,-1,442758,106611,-1,831784,156671,584128,449790,84810,75715,-1,-1,-1,167887,-1,-1,-1,789101,958740,-1,975378,-1,484128,958289,-1,577416,-1,240259,256509,889513,-1,428678,-1,862523,27616,-1,229825,-1,-1,248734,-1,-1,-1,858719,-1,208347,-1,107193,438590,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,607878,553609,-1,668665,343434,-1,-1,388379,954069,-1,-1,-1,544102,-1,940358,-1,-1,-1,-1,8566,-1,-1,-1,-1,-1,162343,-1,376129,818819,955226,230301,-1,-1,279446,-1,-1,989236,519772,-1,285905,-1,-1,549324,-1,955905,-1,817769,-1,821423,239470,807194,-1,524846,-1,-1,944836,516934,422693,-1,-1,-1,-1,99759,993080,2360,931597,414732,225637,706052,-1,-1,3025,-1,467804,-1,228163,-1,-1,-1,-1,255750,-1,488379,-1,537159,572118,-1,-1,844486,833281,-1,907319,313065,866675,-1,809694,-1,555457,-1,-1,-1,-1,-1,-1,686836,-1,-1,-1,475040,609736,-1,286312,977522,-1,631599,541956,-1,-1,-1,-1,678775,760288,-1,707221,-1,-1,564670,-1,-1,-1,296674,-1,-1,823695,-1,724930,-1,-1,-1,171288,-1,434327,-1,66197,981248,-1,633207,511450,-1,-1,926969,379223,507986,492777,60038,794434,-1,380583,595495,889425,-1,-1,-1,350636,-1,965055,313801,160487,-1,-1,182954,-1,-1,54102,268767,493524,18922,-1,897009,-1,740905,477199,-1,-1,708720,761229,-1,263723,-1,-1,-1,441861,-1,327290,-1,252155,492119,261307,-1,325869,-1,-1,-1,439194,772819,576108,-1,-1,-1,-1,128346,-1,845920,161913,-1,-1,463975,-1,-1,753233,-1,698897,-1,785773,902774,999570,421891,-1,-1,950238,-1,842584,936581,-1,141870,148358,99807,-1,-1,-1,220862,-1,-1,239740,-1,337744,282090,-1,-1,859081,-1,937987,-1,545700,407661,605118,81564,765642,-1,234279,-1,818526,943707,208656,960774,877740,852299,810212,-1,413449,967685,560824,-1,30380,759969,733504,641447,-1,662159,-1,168816,918845,-1,675047,924429,-1,-1,259886,-1,892245,-1,-1,454024,52624,216939,-1,-1,645858,32300,337797,-1,-1,987152,-1,-1,412675,294432,-1,737531,553191,-1,739039,-1,641803,904756,-1,-1,251836,-1,615663,-1,-1,-1,363691,-1,780160,997920,232886,338493,-1,73017,-1,-1,-1,965559,680800,-1,656090,364336,466219,323623,969627,864048,-1,985467,-1,-1,-1,862691,189943,982830,264240,481442,-1,744364,159436,-1,-1,-1,-1,-1,-1,-1,-1,-1,470002,-1,708548,370874,-1,-1,646495,200933,-1,686504,643609,-1,-1,385139,219452,-1,-1,444461,788506,663404,203527,869437,82649,-1,-1,464549,896111,-1,839104,-1,-1,-1,249175,996121,722059,744947,981145,719715,-1,-1,-1,914501,222985,388674,-1,983080,-1,129256,830117,37779,137076,666969,-1,-1,969233,224802,973645,149301,-1,957417,512653,-1,84293,-1,-1,-1,-1,-1,969514,-1,142086,926688,-1,113809,527740,283622,709266,222310,-1,969571,704489,491637,-1,53974,64507,157151,656291,989058,146852,-1,305183,-1,476240,-1,-1,78303,868817,-1,-1,-1,-1,-1,-1,-1,-1,477090,-1,617213,-1,-1,184517,613135,-1,-1,174351,-1,390165,-1,-1,-1,328470,136876,-1,336609,-1,510725,766764,-1,728654,310197,339014,-1,-1,-1,844430,916852,-1,586601,-1,735598,-1,-1,917202,-1,167754,564962,175401,-1,634158,-1,426506,482088,195962,814341,-1,311160,-1,-1,-1,-1,-1,-1,144455,-1,140601,782537,282259,319577,-1,939483,468554,153859,154779,-1,549843,759097,524759,-1,727473,978593,-1,650682,325171,-1,-1,-1,-1,126590,872635,-1,-1,547099,674820,964153,-1,-1,100191,-1,-1,194733,222298,37622,639097,-1,622960,-1,132077,-1,175690,-1,799858,806535,672076,250357,618708,235333,156384,-1,349801,108089,-1,323350,-1,-1,976964,-1,632498,-1,-1,608050,-1,-1,-1,-1,-1,-1,481215,-1,30447,-1,-1,985589,913069,-1,30064,452745,163513,-1,665153,-1,576600,114688,-1,443494,473391,422868,-1,-1,-1,-1,-1,-1,969113,391689,512306,556348,-1,-1,646007,219071,800737,-1,-1,-1,-1,-1,-1,-1,-1,-1,493893,303958,843096,-1,-1,-1,-1,68585,658264,744747,-1,136405,858541,-1,375096,257129,-1,-1,-1,-1,-1,-1,437819,-1,168642,478442,68807,318275,926523,-1,890369,-1,-1,-1,-1,-1,-1,-1,887408,-1,-1,908101,345894,358051,291098,-1,640546,752230,-1,-1,480035,264948,570433,888685,755666,-1,-1,-1,574839,625518,-1,-1,866373,-1,-1,-1,-1,-1,-1,-1,-1,-1,660771,48354,111397,548043,891962,-1,15876,496901,805707,-1,-1,527055,-1,683774,973980,145526,-1,-1,708863,667287,638955,163116,-1,-1,827230,901646,712223,129738,-1,-1,892802,707415,-1,-1,235239,571375,-1,-1,-1,305798,-1,-1,-1,920193,451453,868597,603469,-1,981003,-1,145037,-1,144719,679367,186297,802399,-1,177998,883090,134241,655091,50570,982066,-1,301597,-1,674371,643420,-1,-1,419917,-1,342627,-1,757489,-1,107184,-1,-1,174749,953077,-1,-1,329569,-1,-1,-1,886440,-1,883292,-1,802184,-1,316851,-1,256748,752679,489380,-1,363896,669343,-1,673460,-1,588626,252267,65357,960882,-1,70953,-1,-1,740613,69083,833815,-1,690565,250780,49210,-1,61955,916612,-1,-1,453413,-1,-1,-1,-1,-1,-1,-1,812300,-1,355666,-1,-1,594114,-1,221911,-1,-1,-1,-1,981250,657830,-1,568136,782461,-1,-1,53395,297233,-1,-1,-1,310779,-1,97042,923669,466935,388168,427054,251144,-1,544895,731451,-1,438692,-1,789459,-1,-1,225704,-1,-1,-1,510937,12816,-1,-1,438650,409562,-1,910614,-1,-1,-1,321103,251302,7543,-1,-1,-1,713662,456390,399212,-1,-1,-1,715362,-1,225433,850673,395610,-1,635721,-1,-1,296269,313269,-1,-1,687886,-1,-1,352278,618910,-1,-1,-1,140581,547219,330853,803041,-1,252883,726502,-1,-1,713502,778488,-1,-1,-1,-1,-1,-1,742468,-1,-1,549495,-1,92899,-1,652992,-1,-1,350551,971304,695296,-1,-1,-1,-1,618003,313481,82163,275383,86916,762839,728423,-1,-1,445212,296443,317707,481736,306830,-1,-1,-1,870433,-1,-1,632705,111899,-1,-1,367032,-1,-1,503539,-1,-1,29144,330430,-1,178334,396400,-1,-1,236647,881791,668263,872406,-1,536360,-1,144069,-1,607083,461961,909995,776081,644586,-1,-1,-1,244970,-1,-1,-1,490918,606942,814798,88377,664503,-1,-1,-1,563057,860564,268606,6828,267970,545657,315880,-1,-1,-1,995836,-1,889976,14924,456767,311999,-1,-1,-1,108939,-1,-1,752224,-1,797054,209929,993137,60443,847436,439805,-1,-1,895240,764894,577434,-1,-1,-1,474041,349576,-1,-1,-1,-1,789391,-1,261397,-1,745989,865658,-1,710568,-1,293693,-1,314897,-1,541980,-1,969718,-1,897478,-1,759794,-1,849376,-1,-1,-1,-1,908399,-1,-1,844286,-1,-1,-1,170307,732164,863295,892398,-1,-1,-1,167088,-1,-1,-1,-1,925686,-1,276115,-1,-1,-1,-1,-1,857776,-1,-1,-1,-1,872514,-1,-1,-1,925985,-1,712645,111997,-1,528405,-1,572993,-1,539113,-1,117579,-1,408719,-1,665701,-1,993696,-1,492092,-1,-1,-1,-1,184275,167237,824489,-1,-1,-1,262165,-1,505144,-1,211432,405292,-1,342334,-1,527412,-1,206098,522236,-1,-1,-1,831842,292274,-1,-1,-1,-1,685003,-1,168727,249728,182119,550496,-1,-1,179227,448025,-1,238730,309782,-1,334728,-1,-1,-1,701629,-1,505969,811043,-1,796384,-1,-1,-1,921123,-1,-1,-1,508966,529450,-1,160988,940649,-1,-1,205106,806036,119732,688488,285172,959135,-1,-1,-1,798524,615282,449203,-1,-1,-1,-1,714919,-1,180080,-1,-1,770891,-1,61673,-1,940319,899905,849595,17498,462503,-1,-1,-1,987251,-1,867506,-1,-1,685070,-1,-1,-1,-1,376356,-1,884102,-1,76498,-1,329965,26831,-1,795670,-1,446479,509929,-1,500303,-1,835942,365213,-1,-1,-1,-1,525366,899780,647843,-1,-1,-1,776458,511732,963162,744772,-1,96394,829580,-1,866619,-1,723823,229847,-1,40654,-1,-1,-1,454112,749598,-1,502830,847458,41133,-1,-1,831958,414664,-1,815311,-1,821161,123773,-1,89825,-1,374937,563976,376610,963510,-1,751833,692056,-1,602285,929406,-1,331560,407365,114014,-1,-1,292189,-1,657773,-1,943970,-1,-1,-1,-1,-1,-1,-1,-1,232491,887575,-1,602633,-1,-1,-1,-1,-1,626658,17721,-1,-1,894174,-1,-1,-1,-1,-1,812483,721476,433515,756582,23624,-1,630813,-1,-1,632539,-1,10856,209520,-1,871067,-1,873453,-1,935296,679037,-1,-1,-1,-1,-1,-1,-1,-1,-1,975655,-1,144161,178778,214311,824313,-1,-1,767312,473306,-1,269228,792798,-1,-1,-1,-1,535663,317891,-1,-1,391578,-1,-1,639790,880143,865722,-1,-1,-1,73159,-1,-1,186236,-1,987792,-1,-1,-1,-1,940993,-1,372798,-1,-1,447926,-1,-1,-1,-1,-1,362593,966202,-1,-1,100305,611484,-1,486701,607087,763615,-1,-1,374854,925949,709920,461612,-1,-1,-1,-1,-1,-1,-1,241878,764073,409901,-1,-1,-1,-1,-1,544843,498658,857606,532182,-1,962255,972134,299431,-1,-1,-1,-1,798910,-1,163075,576571,273686,221818,685084,-1,-1,-1,-1,736853,609993,151702,-1,-1,-1,440984,454131,-1,-1,41048,897855,552720,42730,-1,249093,-1,662889,-1,-1,-1,313124,-1,-1,-1,-1,250952,-1,386647,-1,245475,605460,-1,-1,189793,-1,841306,89394,-1,-1,-1,696246,235595,-1,969380,428934,242954,-1,-1,408673,-1,232490,115687,-1,391860,-1,-1,989448,842329,-1,-1,-1,261377,541442,-1,191887,-1,458036,229868,649160,181990,-1,-1,-1,-1,-1,-1,612221,338907,383306,999957,907463,837647,-1,120067,10627,-1,71449,-1,-1,631262,826802,738859,-1,62186,562348,986465,-1,240204,-1,33903,-1,340914,430884,-1,678497,89690,779177,-1,395331,309823,-1,-1,324489,-1,485179,251308,230283,201435,-1,-1,414800,713786,676062,158318,280874,341661,-1,-1,637385,779368,-1,64559,-1,691864,-1,-1,-1,878551,-1,354795,-1,641437,-1,-1,-1,231629,-1,132437,690395,461116,848286,879443,177438,-1,-1,-1,-1,618578,-1,-1,-1,100574,-1,669691,393184,-1,-1,-1,143386,-1,-1,696653,629635,382769,268033,64688,-1,-1,-1,-1,-1,-1,-1,-1,639229,325377,778130,683327,304035,-1,173453,545698,-1,424091,-1,594084,-1,-1,461675,-1,-1,-1,685585,990506,900171,-1,729043,-1,-1,850348,-1,359119,740547,-1,-1,-1,-1,-1,-1,-1,309355,308197,50772,-1,-1,358762,-1,482725,438439,-1,-1,796466,-1,639013,-1,-1,-1,181300,685678,-1,-1,-1,722323,-1,-1,-1,-1,-1,43608,-1,-1,403676,-1,523987,940096,-1,570007,-1,-1,-1,-1,684705,324810,-1,205780,732985,-1,-1,553174,-1,100408,521885,485754,633170,-1,116229,375324,-1,-1,-1,578297,-1,-1,-1,-1,-1,991795,-1,-1,-1,735718,542661,842012,-1,316849,-1,-1,-1,-1,634667,-1,417095,-1,-1,344793,425264,199095,-1,54843,-1,-1,866065,-1,155772,-1,212757,-1,487811,-1,902455,764729,-1,-1,-1,31994,-1,-1,-1,-1,-1,221947,629556,510627,565673,695794,413228,-1,303058,-1,-1,312534,824433,278059,247692,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,294857,-1,-1,295934,-1,62738,-1,-1,-1,658152,265253,549274,-1,-1,-1,-1,917367,-1,-1,-1,101940,-1,-1,989507,-1,-1,-1,-1,-1,701458,149353,-1,546535,-1,34910,-1,765167,-1,53415,844255,799423,501950,726424,-1,-1,859648,184348,-1,-1,-1,436001,549294,-1,353783,-1,862841,-1,-1,557377,-1,467301,237068,-1,331853,-1,830286,-1,40212,687232,385791,-1,503083,-1,-1,795505,-1,-1,263923,-1,-1,-1,75174,536789,67944,925236,646479,506733,464685,658609,41420,677209,-1,697560,202794,212686,-1,-1,269415,-1,-1,-1,-1,-1,196410,-1,-1,455812,126868,-1,-1,180597,847569,-1,143910,-1,588195,742730,-1,-1,-1,-1,22533,-1,217783,-1,555205,-1,523524,816824,376673,-1,-1,-1,961383,710200,804305,773073,-1,607707,-1,-1,834238,141330,966526,-1,670806,-1,431658,-1,-1,397290,-1,813153,115003,-1,-1,-1,-1,325593,473418,894233,-1,254024,-1,-1,-1,-1,-1,43204,-1,-1,840557,577373,511449,628914,650329,568235,-1,360112,419780,-1,768682,424743,944793,98261,897587,-1,-1,-1,-1,-1,-1,366531,201807,60671,-1,-1,680955,410802,-1,-1,503577,-1,576331,79597,-1,-1,-1,-1,-1,-1,77531,956590,13181,696950,855483,339916,20016,727074,987851,157027,739719,-1,844992,-1,95302,-1,271631,49902,-1,-1,-1,181154,72910,-1,-1,-1,353209,40099,163933,830980,-1,-1,-1,658999,-1,433186,5612,-1,320164,781586,672601,-1,-1,482388,-1,-1,166740,-1,-1,397793,-1,-1,-1,862390,-1,-1,43886,-1,471704,-1,-1,960914,-1,-1,556225,-1,607278,798355,-1,534675,461478,497179,-1,-1,709163,79277,-1,-1,952808,956703,-1,533443,887665,161439,265886,873024,275699,-1,-1,812616,607182,-1,-1,314030,-1,-1,-1,747796,23779,73318,555451,285729,277417,934565,-1,-1,349981,-1,-1,758349,860447,-1,357931,-1,-1,869386,684009,393265,172358,-1,-1,-1,761716,655964,735150,769852,636725,159114,274041,-1,-1,66323,70511,57213,233819,512891,-1,872157,807350,758131,303635,-1,-1,531416,394498,-1,-1,-1,78601,-1,483199,698042,913903,496627,-1,541320,821841,-1,203251,-1,-1,496452,510279,262005,610209,42513,-1,-1,237305,-1,982993,865479,-1,-1,-1,346289,4568,-1,-1,-1,-1,-1,-1,-1,369830,300765,18048,437088,735132,-1,849166,515994,230944,622899,-1,109928,-1,-1,555141,34543,-1,449383,776302,-1,-1,245796,495763,585507,988365,-1,159054,315518,-1,-1,658667,174995,510092,435219,730075,898890,482464,-1,360507,-1,-1,-1,764477,-1,500445,242080,539429,-1,-1,462359,-1,-1,427757,282100,379567,177024,-1,-1,82214,183682,-1,-1,-1,-1,824608,111312,-1,-1,99616,70652,-1,-1,991292,-1,-1,-1,850849,584042,701591,910249,-1,-1,473686,338896,-1,254193,596337,-1,657949,580293,-1,-1,729327,-1,374420,237790,714748,-1,-1,-1,605197,562384,457882,-1,339649,85133,826174,912518,558281,296896,-1,-1,-1,-1,-1,878873,184514,-1,-1,249819,59951,14297,281644,-1,-1,842982,-1,740115,981095,-1,872034,900724,875936,575374,-1,6836,632862,-1,-1,-1,-1,141752,411784,967838,795892,-1,384390,-1,-1,245116,-1,493583,-1,748000,410378,733105,817129,985887,247862,907784,-1,866776,127612,-1,5074,-1,-1,-1,168566,-1,-1,-1,-1,818343,151157,-1,-1,415976,-1,-1,329289,784889,720435,-1,656634,-1,-1,-1,-1,731836,174231,-1,114279,-1,-1,942271,453693,-1,965234,-1,-1,-1,-1,-1,759247,249068,212151,166946,371120,-1,-1,-1,-1,592041,-1,-1,-1,-1,-1,845114,333784,642794,-1,777143,751742,365921,-1,841849,-1,985584,-1,915126,-1,-1,-1,-1,-1,440882,-1,678666,-1,696004,450257,579367,45581,-1,16977,469346,-1,-1,869616,-1,-1,-1,306821,-1,-1,-1,-1,480949,338781,435756,-1,-1,733431,-1,-1,-1,541431,815837,478815,-1,-1,945150,594733,-1,839761,-1,-1,236731,-1,946728,-1,-1,88797,761289,936955,-1,-1,-1,-1,469613,-1,-1,623544,247602,414494,163318,-1,205907,447646,-1,-1,-1,71469,-1,-1,-1,-1,106316,700942,88654,126755,175356,-1,-1,292611,-1,228324,-1,-1,-1,-1,439430,-1,-1,70205,758057,-1,370529,989862,156096,772240,78288,269165,-1,744847,-1,-1,-1,574283,480164,-1,-1,436818,516146,-1,-1,378696,-1,223732,-1,-1,156695,68037,804116,503090,-1,-1,256459,-1,173341,-1,-1,-1,-1,-1,-1,-1,564901,-1,510804,-1,-1,988287,-1,-1,133644,-1,290355,-1,63764,691561,-1,-1,350638,481116,-1,400444,719781,-1,-1,254732,934616,791137,265358,-1,-1,-1,887433,426725,-1,-1,433939,753193,451941,192480,133018,-1,-1,696509,558626,-1,473794,901846,-1,-1,-1,-1,42635,662343,-1,615784,37151,-1,-1,-1,443202,404392,472564,-1,487884,-1,-1,-1,759678,-1,245112,135049,550734,79019,566915,345371,388954,896636,428881,-1,133463,-1,890833,276135,788630,-1,-1,-1,324821,671583,-1,103296,263437,890740,669507,642203,786997,178296,126271,524482,504113,-1,300885,799598,-1,-1,-1,-1,330398,-1,-1,-1,-1,927532,700693,-1,-1,-1,-1,50629,-1,-1,-1,934529,-1,-1,580420,435745,-1,-1,-1,-1,-1,687484,289192,747371,321362,-1,-1,75851,-1,998622,307083,-1,93966,-1,445105,-1,730734,851388,390445,164952,667996,299765,129006,-1,-1,119584,538566,-1,-1,229680,226370,249445,-1,-1,-1,927115,-1,-1,942993,-1,-1,-1,889050,-1,-1,162523,-1,-1,273754,-1,347121,79481,-1,632581,-1,674090,-1,-1,539463,-1,963483,765273,-1,852567,-1,-1,526653,-1,599352,505415,751456,-1,716823,-1,510242,-1,3519,296629,-1,-1,-1,122969,516246,636650,-1,193075,-1,701063,114146,866852,661063,-1,-1,468301,79321,-1,-1,7628,-1,700136,176470,360155,-1,51579,-1,284399,-1,-1,-1,895965,-1,1759,929571,-1,288657,-1,721574,-1,99394,-1,637000,430047,737115,853115,-1,-1,946104,115951,476645,-1,41032,104080,-1,-1,-1,-1,836755,-1,-1,493293,419665,570830,-1,260497,-1,-1,-1,890520,-1,485291,-1,-1,-1,-1,-1,-1,-1,897458,-1,-1,217831,909999,883024,-1,-1,-1,-1,-1,-1,-1,863835,-1,505395,742701,317563,510399,-1,51186,-1,91763,-1,-1,263619,-1,-1,982453,433693,501224,6375,-1,324476,277155,-1,-1,-1,-1,309535,521119,347704,204572,98383,282676,781078,878822,593848,494638,-1,890563,-1,947744,-1,-1,242734,13221,896542,346765,468094,-1,-1,-1,399218,-1,53100,931800,-1,-1,-1,762658,604657,915964,-1,804658,-1,-1,854514,754645,795821,8925,550288,-1,-1,296533,-1,-1,654602,356790,270323,-1,-1,433795,-1,131896,644218,929052,-1,-1,-1,-1,6889,-1,-1,436096,497651,-1,-1,-1,-1,-1,-1,966713,899799,37279,-1,-1,298646,948970,-1,905444,-1,-1,991701,20206,-1,779118,228658,-1,-1,507409,-1,-1,826144,-1,-1,836347,251989,-1,872952,849893,835162,670676,48615,-1,670660,719032,-1,652651,169009,-1,507611,443350,44550,-1,976675,-1,-1,976120,-1,-1,-1,-1,600860,734684,214722,828168,-1,-1,-1,-1,36657,800911,-1,958923,123307,-1,377811,138739,929086,-1,917947,-1,-1,-1,68907,-1,-1,538622,779420,41902,422073,163698,244737,849878,323797,94669,-1,-1,564711,679009,642585,115467,-1,939950,-1,-1,115207,-1,442633,-1,359352,660201,144862,453468,538278,-1,185795,-1,259604,454327,-1,42181,-1,-1,-1,457120,-1,-1,-1,-1,727492,941881,-1,-1,-1,530028,-1,-1,309497,-1,719034,-1,685009,578470,-1,-1,-1,-1,884526,-1,-1,-1,538975,925113,-1,-1,921946,509587,-1,344176,16407,-1,-1,-1,-1,140182,845875,-1,293648,-1,942418,39737,-1,727557,908260,759118,303659,-1,-1,-1,-1,-1,-1,-1,703073,-1,828286,996983,384435,-1,-1,-1,-1,-1,480776,-1,-1,615178,-1,113633,288852,406176,-1,-1,-1,-1,968014,696973,-1,-1,766281,-1,886547,-1,-1,-1,326344,790402,490337,-1,-1,979409,964091,-1,411291,-1,-1,480938,-1,-1,728266,-1,-1,-1,581622,-1,-1,342842,927260,453539,438074,705021,8750,-1,-1,854138,-1,-1,766630,-1,-1,-1,-1,-1,-1,903202,630298,691033,432424,-1,-1,176056,896905,816265,-1,604079,-1,226092,461593,-1,-1,419959,883765,-1,-1,113852,60555,-1,-1,432275,-1,-1,138993,626971,384787,-1,656645,-1,59436,294303,-1,-1,836643,-1,572955,-1,-1,304500,468920,819829,-1,760584,-1,-1,570412,-1,-1,-1,-1,25076,-1,544610,-1,212493,169606,921040,-1,-1,354527,437031,656657,562040,-1,297743,293054,135422,999643,-1,-1,-1,-1,751020,296071,47530,-1,555452,-1,822193,868447,-1,311533,444174,523166,-1,428540,-1,-1,-1,-1,-1,-1,737903,561294,-1,-1,883361,666973,709039,-1,122906,53015,-1,957808,873347,587865,-1,-1,-1,784194,208090,242202,-1,139010,839017,872064,-1,-1,-1,142298,-1,256115,-1,110525,-1,780742,873078,-1,-1,-1,-1,111808,672188,-1,939302,167659,428136,-1,529558,222126,454320,-1,-1,367100,637570,143592,-1,565985,-1,-1,-1,-1,132471,-1,498348,-1,674038,-1,142544,-1,787486,973813,894603,-1,-1,529159,612128,617380,-1,-1,-1,389361,726182,658287,-1,-1,-1,400284,918690,-1,-1,756651,-1,301827,-1,181283,797236,-1,909366,-1,467382,878404,548872,170682,681955,35196,688195,-1,84142,-1,207405,8512,210614,-1,-1,625685,-1,649699,851428,-1,-1,-1,-1,-1,321612,-1,190133,-1,724571,-1,-1,790971,-1,984262,966667,740023,841925,-1,-1,-1,-1,-1,562480,215397,299741,647225,90000,915312,-1,-1,-1,-1,470605,276841,856476,690575,-1,317908,-1,286181,342433,-1,-1,-1,673766,859421,-1,-1,-1,-1,370118,721603,-1,-1,103695,-1,-1,245064,326404,611321,-1,978928,-1,337332,-1,-1,-1,970569,-1,258785,801159,231655,-1,-1,593300,476975,-1,925519,493907,283285,919189,875867,-1,871489,923135,299450,641616,461623,-1,-1,-1,337347,818322,-1,148167,-1,-1,475916,834831,-1,791403,-1,-1,-1,311998,91249,779880,-1,-1,-1,196173,-1,-1,-1,638726,247340,-1,-1,-1,-1,45101,925698,-1,184048,-1,659944,801081,720914,183634,-1,713175,426729,394559,-1,-1,-1,-1,-1,508411,-1,-1,-1,860602,387592,991363,466350,-1,-1,-1,-1,-1,47836,-1,816020,779673,592300,-1,191559,-1,-1,131952,-1,820273,-1,-1,-1,-1,876455,-1,979375,-1,528444,729810,-1,-1,867358,154447,-1,324528,875531,-1,-1,170419,-1,-1,891750,-1,665658,749798,530248,-1,833839,83089,198358,412087,-1,143902,-1,509809,133942,-1,819950,384397,344070,887447,-1,816597,-1,916376,237827,-1,797048,106874,-1,-1,847496,250104,-1,976938,57519,-1,292721,-1,733279,-1,-1,-1,-1,699307,851771,40302,-1,456987,-1,584602,-1,-1,210680,-1,-1,-1,344961,-1,-1,-1,-1,-1,-1,659164,-1,-1,985455,-1,133794,-1,-1,-1,702570,662609,-1,947406,256985,429946,826108,504473,771289,757079,-1,847620,-1,385655,515175,960560,-1,315203,-1,-1,-1,-1,-1,-1,737063,-1,608567,697510,637544,-1,-1,163344,-1,-1,-1,-1,789151,-1,111211,412185,977006,196493,-1,108895,-1,-1,697381,-1,289598,637612,758820,291273,-1,-1,-1,873112,-1,-1,-1,85397,737772,857788,-1,680828,406604,872709,-1,-1,-1,314768,494718,-1,-1,-1,248787,172232,405614,742855,-1,-1,457941,317106,-1,976197,-1,-1,229118,-1,721480,997779,-1,-1,-1,256931,82844,-1,-1,939276,754395,177852,350228,-1,640356,-1,-1,93428,128618,803266,-1,246251,-1,630739,-1,470075,315783,454736,989859,297362,68018,962411,-1,391696,-1,-1,759951,967863,944321,-1,508020,486648,144195,650454,-1,-1,-1,-1,-1,92632,552111,652599,-1,-1,738371,-1,822331,280288,43218,-1,866077,-1,-1,-1,-1,-1,-1,519761,-1,844053,105600,658624,-1,-1,423067,215554,379327,-1,-1,627206,895988,-1,956678,-1,-1,-1,361460,-1,50225,216857,195009,-1,125054,-1,348083,-1,-1,721971,555265,-1,26377,-1,-1,884485,117559,3950,936700,376982,337931,-1,-1,155600,-1,-1,-1,-1,502246,-1,-1,-1,-1,-1,530957,-1,-1,144995,646139,-1,-1,-1,624170,525960,-1,153733,-1,-1,-1,822339,-1,581866,859103,-1,-1,450424,285770,54285,152855,-1,-1,92589,-1,356361,499040,559052,-1,-1,445743,-1,-1,547426,581432,-1,742842,-1,505419,-1,-1,-1,-1,-1,236172,546991,430433,475536,-1,507262,194336,721573,516125,162060,-1,996252,-1,-1,-1,-1,-1,600482,-1,-1,986637,795937,-1,804709,-1,833003,-1,-1,-1,214557,-1,-1,-1,-1,-1,121549,303180,-1,471467,67841,226999,795998,-1,260551,-1,63905,-1,518158,-1,213719,-1,734142,14584,-1,943604,-1,-1,-1,-1,-1,-1,357004,-1,-1,857854,119241,592717,-1,832674,-1,-1,-1,-1,639006,-1,533893,-1,257691,-1,473641,739476,977902,-1,-1,880944,-1,-1,327053,-1,215646,515277,750092,-1,-1,348833,918704,-1,679792,-1,192473,-1,761008,-1,-1,-1,276052,424106,-1,41432,473719,889914,-1,413608,-1,252433,421515,642897,173661,872396,974809,-1,-1,592912,-1,847683,-1,-1,-1,76565,-1,387712,386369,-1,844401,-1,308140,-1,-1,333390,939984,395899,898490,-1,-1,-1,801786,76174,144567,115994,246453,-1,-1,588417,-1,898921,458421,-1,-1,-1,225633,-1,-1,-1,-1,269787,-1,-1,-1,-1,202049,-1,160547,-1,132534,-1,414412,-1,-1,590132,-1,260209,-1,104749,370140,-1,-1,-1,-1,-1,-1,-1,-1,-1,1247,329563,-1,947026,-1,-1,131077,-1,-1,912412,-1,-1,611622,657821,262799,-1,502303,-1,679799,857511,212811,-1,451680,410900,566550,974070,857578,-1,341151,327528,-1,-1,971578,605443,-1,-1,-1,-1,200431,78339,712462,902818,-1,-1,-1,-1,328707,-1,-1,926014,-1,871056,636817,691235,-1,-1,989608,-1,-1,61252,679757,-1,227043,362025,145879,817960,-1,-1,-1,-1,-1,-1,517294,498160,772642,477226,419156,742686,-1,-1,-1,709764,-1,920121,741495,-1,941347,897690,59858,46468,403126,705104,-1,776307,175988,574773,714551,508038,759899,582719,-1,-1,515995,-1,328093,-1,-1,-1,304962,-1,376993,971778,-1,900136,-1,-1,866282,61149,-1,-1,-1,91477,-1,-1,278820,-1,794295,989508,-1,137472,154056,-1,-1,365258,580968,337173,-1,-1,755479,696095,148830,-1,845346,-1,-1,-1,98531,671065,166739,350042,-1,493481,129605,-1,-1,-1,-1,588670,270137,981505,432981,794404,-1,-1,-1,-1,285079,439639,530738,-1,248357,-1,-1,667981,-1,965971,-1,-1,465173,972765,-1,-1,151771,131770,712862,277366,-1,27606,-1,-1,894643,997928,782264,-1,-1,-1,-1,229554,727326,-1,-1,416465,480317,362396,207515,772641,635330,-1,433962,377630,308334,-1,386792,-1,998999,162208,142737,391355,541543,45760,-1,-1,642584,-1,-1,151076,509273,-1,-1,-1,-1,-1,-1,875313,644801,-1,393115,-1,-1,-1,734491,220065,-1,-1,90317,-1,833373,388728,317257,659527,-1,-1,-1,361181,460953,-1,-1,-1,64161,-1,-1,570521,254651,598222,-1,335558,639188,-1,499248,-1,443374,-1,-1,396383,-1,650892,854397,932398,-1,41748,569824,524893,-1,497057,429168,-1,-1,712997,991685,-1,373337,637520,-1,221455,602168,552643,11266,-1,-1,-1,804079,-1,989397,597604,90115,-1,-1,-1,227839,-1,122323,620809,-1,-1,-1,843301,-1,-1,-1,891158,573065,-1,730738,-1,288908,-1,-1,539767,-1,366921,-1,-1,385355,678655,-1,-1,-1,-1,-1,-1,-1,-1,256919,318148,-1,571556,167646,-1,203649,-1,317735,570345,288065,-1,-1,399557,141971,874592,74653,464279,654652,523931,990729,-1,-1,868143,-1,944634,70242,-1,-1,109072,-1,600322,-1,-1,322086,-1,-1,-1,-1,-1,290485,262278,913735,195969,197988,907779,-1,779325,418780,416196,626288,939232,-1,958093,-1,-1,590401,268575,-1,952536,527543,-1,-1,-1,-1,-1,-1,-1,146169,-1,-1,-1,818667,368752,780507,-1,-1,-1,218374,435816,-1,11359,431524,-1,-1,674240,941547,-1,669238,-1,592077,-1,90312,752106,-1,159714,764870,-1,-1,260234,557588,859257,765769,-1,185948,154143,939274,-1,-1,-1,-1,-1,916451,-1,-1,-1,455674,-1,-1,808848,-1,61876,15547,-1,714676,317434,142880,923013,-1,182170,898750,-1,-1,-1,-1,220453,831866,776427,964440,-1,-1,-1,-1,993508,814311,835371,16023,13241,-1,-1,137982,508769,-1,497701,920625,-1,-1,448828,-1,799443,-1,861545,618347,-1,87684,845698,-1,812770,-1,192458,-1,504780,-1,-1,-1,-1,-1,-1,-1,665982,-1,727065,-1,-1,696136,316677,543615,-1,440017,-1,144209,559431,119195,-1,-1,-1,-1,31945,-1,-1,505181,-1,839527,45246,-1,-1,-1,11490,-1,517695,-1,-1,712573,738649,-1,-1,496288,908844,48368,428884,-1,766387,-1,4078,560781,-1,-1,976627,656523,-1,-1,-1,-1,102972,-1,-1,-1,-1,272340,709373,625368,-1,15744,226321,673570,-1,-1,-1,-1,634087,-1,858278,-1,-1,570451,502688,-1,357337,-1,-1,263917,557408,608118,178542,-1,448829,-1,294411,284286,-1,-1,16260,-1,-1,-1,-1,-1,967643,-1,-1,-1,-1,796022,-1,-1,-1,121012,714336,532328,743327,-1,-1,187677,-1,-1,-1,-1,-1,971225,-1,351446,572511,-1,-1,-1,-1,-1,-1,384786,-1,-1,149279,-1,129681,-1,38089,-1,175221,258500,25846,572005,-1,-1,-1,-1,333199,-1,-1,-1,-1,-1,16928,-1,-1,-1,-1,-1,-1,-1,-1,505458,724038,136878,903260,-1,-1,-1,-1,-1,-1,-1,834234,-1,300533,294277,850216,-1,42265,793864,470348,266191,148702,274187,-1,172995,-1,-1,36313,99700,642386,557117,-1,-1,425155,351891,-1,140075,389319,-1,-1,-1,658992,611630,765044,323997,-1,757680,-1,-1,-1,68030,-1,-1,-1,839466,133688,165768,199678,-1,-1,-1,-1,870089,-1,448690,354763,925578,-1,961069,-1,164831,-1,245709,-1,-1,117902,-1,-1,-1,930982,-1,405798,-1,822316,147034,891666,924131,-1,591816,-1,152783,-1,-1,118721,-1,-1,-1,293352,859598,-1,939161,-1,23876,-1,-1,-1,-1,-1,-1,-1,639211,507293,-1,264248,-1,869184,-1,-1,-1,672477,-1,777654,-1,-1,-1,-1,939800,-1,-1,558731,702797,-1,733740,-1,-1,71074,151936,966407,927109,704649,-1,225445,475882,434545,-1,-1,97615,366459,-1,909952,892746,460835,-1,-1,5095,-1,-1,-1,341294,104110,420601,572437,-1,691277,322545,-1,-1,-1,-1,-1,-1,363779,86905,-1,875957,-1,666531,425129,-1,-1,236651,790079,-1,839849,-1,47380,5873,548320,-1,366456,-1,64065,940563,-1,-1,213998,560764,245995,528400,-1,335174,619991,355901,-1,-1,-1,659532,-1,-1,614672,283366,-1,382272,552417,-1,778440,207862,-1,-1,-1,-1,910066,570265,456310,345784,442129,-1,363373,724154,-1,-1,83921,-1,-1,752153,443709,759481,-1,461147,-1,580439,-1,67366,897334,-1,2275,419624,230763,434732,463524,-1,651935,275277,-1,-1,-1,879830,347499,697514,735086,-1,769853,794251,-1,-1,-1,-1,-1,834077,-1,-1,-1,349961,-1,-1,792086,921815,-1,25022,-1,-1,-1,637489,-1,-1,782286,-1,-1,-1,526326,-1,193708,-1,465413,-1,-1,796474,-1,93338,700513,805453,647318,221738,-1,670021,-1,564561,-1,-1,140610,319148,-1,-1,483442,732666,877212,-1,922849,45789,-1,-1,266627,453928,809203,710050,333998,-1,-1,-1,-1,400193,458536,578114,953443,994330,-1,441323,-1,9555,131471,-1,370803,589834,768486,182478,362707,-1,668658,250593,597161,-1,117938,678480,256788,116444,410776,-1,-1,814658,953854,284519,-1,918061,-1,881056,728143,572321,392592,343347,41601,377173,-1,111147,497382,808392,-1,772702,366061,-1,-1,-1,483316,-1,344346,-1,100066,-1,-1,535079,-1,-1,150318,465935,88458,-1,-1,-1,-1,-1,-1,636004,246235,834276,477177,181834,829656,-1,152753,136467,821652,-1,-1,526220,103878,-1,-1,-1,-1,168583,-1,-1,579539,-1,-1,96586,-1,-1,-1,832443,512874,-1,-1,-1,-1,595065,-1,611239,251646,262945,-1,845717,-1,609841,470499,947579,366851,-1,617007,280896,96087,-1,746194,843705,402772,-1,-1,-1,-1,382883,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,342721,909276,853497,-1,-1,826839,-1,590203,-1,179711,-1,-1,35849,798453,307189,953499,-1,534200,547318,-1,435428,342065,-1,-1,-1,-1,-1,558299,954273,-1,-1,100810,559371,-1,-1,935644,-1,676466,84509,788409,-1,30428,-1,-1,-1,-1,-1,-1,-1,-1,75013,-1,162305,-1,410157,524344,794217,-1,-1,-1,-1,347044,-1,564800,-1,-1,174415,-1,123423,487249,180308,644185,662649,-1,-1,-1,-1,-1,-1,646863,-1,54060,-1,-1,108915,-1,167216,-1,738826,152244,989728,252272,-1,-1,48479,-1,-1,-1,-1,160720,322895,-1,183073,275434,520421,-1,-1,-1,646484,217453,-1,-1,-1,761945,769509,1424,-1,-1,-1,-1,838729,-1,-1,-1,998751,813072,-1,313933,190846,617406,236176,-1,832955,-1,-1,-1,-1,159290,91338,-1,-1,30427,-1,702741,691416,-1,976383,381164,-1,-1,746992,-1,-1,-1,946552,845540,274956,145160,275191,-1,352605,-1,-1,-1,-1,417710,730681,855515,-1,-1,343535,796291,-1,827476,-1,389322,43282,-1,-1,495046,-1,378916,151615,-1,252695,-1,-1,-1,893778,793290,-1,467246,-1,-1,253049,603291,733529,705241,-1,-1,-1,383735,-1,700151,944219,-1,-1,-1,703549,-1,-1,237029,619039,643458,20957,-1,-1,-1,198015,-1,-1,441163,308841,135935,-1,-1,572866,-1,-1,-1,-1,387439,91480,-1,213959,38706,482216,-1,-1,406219,863847,-1,819358,938785,-1,-1,351916,114487,-1,-1,-1,518895,104593,90426,-1,-1,448070,-1,204474,715673,-1,-1,-1,-1,-1,-1,600919,884240,225054,-1,-1,864234,938483,98568,609467,727539,199215,-1,59291,38591,468774,639812,226108,-1,272003,245959,506882,-1,841814,720353,244603,-1,-1,193142,892685,794835,-1,260517,16291,-1,-1,-1,-1,20475,-1,788004,-1,794963,415192,725584,971040,287380,-1,567169,484016,945942,302797,-1,-1,539005,-1,601522,337405,-1,808952,341841,372238,963310,607612,-1,360647,-1,-1,681571,623750,-1,-1,106754,-1,-1,986789,463882,-1,-1,-1,-1,-1,206860,-1,-1,-1,-1,752342,265794,391673,628635,494274,-1,957816,-1,-1,529836,714701,692853,590505,506935,-1,-1,-1,996558,-1,750721,-1,249211,-1,531716,956785,112282,-1,-1,-1,752522,172080,532507,895178,-1,-1,-1,-1,302928,-1,975236,765389,-1,154746,-1,785043,-1,658639,43612,732216,-1,-1,-1,824440,162079,311192,620344,854698,-1,-1,253130,-1,85244,426573,-1,348023,-1,440840,240946,483994,-1,-1,784658,-1,-1,-1,-1,-1,-1,375983,672013,58336,-1,720295,-1,-1,961864,-1,-1,-1,772013,-1,222499,-1,318614,501275,555479,154990,-1,-1,359968,-1,573112,168485,-1,651098,650136,841339,-1,-1,-1,809224,-1,237762,292191,199998,838480,310052,709707,269292,773290,-1,839097,-1,-1,-1,-1,-1,467469,-1,527369,-1,620076,-1,158667,541068,-1,564993,-1,-1,-1,-1,252411,458179,-1,855088,101655,-1,-1,150866,-1,-1,675983,784365,562195,-1,558212,-1,-1,-1,-1,823570,-1,-1,-1,-1,-1,-1,-1,-1,211427,-1,648078,40117,-1,-1,-1,902460,-1,-1,-1,-1,-1,28277,-1,-1,239533,-1,-1,914749,-1,-1,-1,693765,-1,-1,155980,845199,549443,-1,-1,890037,-1,-1,9358,383228,-1,97233,39624,674538,841393,-1,-1,-1,710704,491077,803158,-1,210905,-1,440737,775800,120003,-1,-1,-1,-1,-1,360765,-1,983555,241701,-1,566141,-1,693184,794518,-1,-1,929863,-1,510184,-1,-1,560709,-1,324939,164808,699615,880221,524783,-1,248634,568283,898877,142049,200054,572987,-1,-1,-1,768890,-1,486147,-1,550071,-1,-1,659827,-1,-1,784047,342963,801741,656239,672247,-1,516371,-1,-1,-1,-1,-1,394941,-1,701786,287370,-1,550011,-1,543164,431338,894778,144857,-1,-1,-1,262264,783818,838359,116440,-1,-1,71644,663705,414045,686042,-1,421800,-1,-1,-1,67172,2405,-1,-1,-1,647905,775105,492359,-1,-1,-1,-1,155824,-1,160271,8838,-1,-1,221751,795399,-1,-1,885555,278385,232901,711493,830439,859245,-1,846923,798328,403723,662255,-1,-1,657095,187778,53449,-1,-1,-1,54094,-1,54010,-1,699691,-1,-1,-1,801460,543241,-1,423211,842028,-1,495107,-1,752642,405599,-1,801179,-1,-1,-1,-1,969151,202324,584183,-1,888803,545771,645218,-1,41479,637251,-1,344376,-1,870621,814349,-1,972330,-1,980755,-1,-1,-1,237951,-1,-1,-1,-1,-1,-1,872470,120931,-1,720357,-1,716862,886960,862337,-1,-1,-1,389420,-1,497551,628195,418263,-1,-1,-1,-1,403940,853410,-1,618981,253525,4793,834161,282595,-1,212461,-1,-1,581124,945792,-1,979901,-1,-1,-1,-1,156557,60053,-1,-1,215791,-1,291887,969701,165881,539912,393956,-1,160705,-1,-1,320664,-1,148752,-1,375103,-1,207648,-1,674720,364130,301428,375275,-1,-1,995237,-1,180568,-1,-1,465102,-1,12062,-1,510236,-1,-1,-1,552887,915348,48441,-1,473583,106302,951060,-1,-1,285361,709912,-1,608217,90630,-1,773861,868330,-1,642738,982855,-1,172258,3324,975223,913321,-1,-1,-1,-1,-1,612948,909655,-1,637843,-1,-1,322867,-1,511966,746490,-1,821659,-1,505751,-1,528223,324933,-1,-1,-1,-1,-1,-1,886072,482093,-1,-1,115722,-1,-1,479563,627990,-1,149360,-1,-1,-1,-1,520403,-1,46354,-1,386180,-1,565199,748866,973298,845964,-1,-1,-1,-1,-1,-1,-1,851546,782933,669465,-1,502951,527037,-1,764585,189485,-1,892674,-1,872557,620374,-1,-1,-1,900584,273074,-1,-1,-1,16019,-1,565646,-1,-1,629108,-1,988195,-1,-1,254859,452796,-1,896583,-1,811206,-1,679646,-1,-1,-1,-1,829830,569846,720927,-1,-1,-1,794987,-1,222292,714834,-1,-1,-1,850211,-1,847584,431887,-1,154254,735662,-1,-1,629591,386686,-1,-1,679457,949769,588526,-1,-1,540476,273098,761814,-1,454288,394382,184997,-1,-1,-1,-1,-1,-1,225706,-1,-1,527395,-1,-1,-1,902970,-1,700912,933587,114486,-1,668404,-1,-1,-1,290595,57349,-1,-1,819571,691386,580578,-1,-1,-1,757598,-1,-1,-1,363405,172741,154024,889676,-1,1044,-1,-1,967456,337908,101384,855853,-1,517043,-1,492489,-1,152201,558417,415360,489178,-1,-1,249918,-1,-1,602092,509242,885609,855099,191621,817232,310017,486421,-1,727238,-1,627495,495073,-1,390292,-1,-1,766795,612840,402886,-1,-1,902661,232182,-1,702841,-1,-1,29951,-1,-1,-1,246428,-1,767722,563960,-1,104659,-1,-1,713744,-1,-1,-1,600746,-1,-1,-1,-1,-1,951777,517535,527537,-1,-1,-1,-1,910,-1,470613,105696,943930,377841,-1,134471,-1,535130,58654,-1,-1,-1,445448,100424,-1,-1,-1,-1,-1,315021,-1,138102,-1,-1,-1,-1,-1,-1,-1,796173,670770,-1,-1,471241,889964,-1,-1,-1,855554,-1,-1,-1,-1,-1,-1,-1,82437,11415,-1,-1,-1,834935,-1,-1,-1,-1,-1,432364,-1,-1,417717,679551,761501,97199,864318,166548,-1,-1,-1,-1,-1,462523,-1,710093,-1,738330,-1,-1,-1,-1,-1,943581,258555,733462,129988,-1,-1,-1,994350,404580,452871,-1,-1,-1,686040,442303,-1,-1,837798,128694,511684,478189,-1,-1,-1,-1,-1,-1,718038,-1,-1,-1,245441,846177,305132,-1,982977,-1,-1,-1,958887,-1,640250,670461,757560,440473,-1,-1,-1,668230,-1,951505,332150,-1,467368,804595,429320,-1,10013,857913,-1,18217,-1,245723,219744,-1,-1,964154,-1,116633,89601,-1,-1,407443,-1,-1,564543,928781,-1,353020,-1,779250,-1,642364,-1,-1,-1,159749,561722,971637,-1,947511,-1,749397,20328,-1,497593,933743,-1,-1,-1,68576,-1,371863,616408,-1,-1,-1,-1,-1,-1,-1,-1,-1,860098,938571,-1,-1,-1,-1,-1,-1,425137,531283,-1,-1,-1,432969,-1,798849,-1,775446,941359,291429,-1,-1,501641,366697,667420,381489,794879,-1,-1,-1,366225,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,340342,137969,184379,-1,739677,-1,-1,-1,862199,-1,931503,129632,694223,326896,450328,-1,-1,-1,-1,-1,-1,397891,88019,106569,-1,373538,244175,472780,-1,84625,297628,169195,-1,93240,198403,-1,-1,2507,580976,869315,-1,500562,-1,674410,879839,-1,-1,632090,80094,398955,959817,-1,286955,-1,44551,-1,-1,-1,-1,59021,-1,-1,-1,-1,-1,185180,-1,606794,-1,-1,-1,-1,-1,390150,778381,289094,-1,-1,572561,692682,78913,148249,209059,-1,394957,747044,-1,435536,582736,-1,-1,164541,-1,597840,-1,272454,147317,480046,766261,-1,114474,438161,-1,260447,299871,79337,-1,-1,-1,668780,74699,240473,27361,546089,-1,810140,-1,104407,-1,366334,-1,645196,-1,619963,814457,736823,661397,850787,-1,71592,690426,944909,703080,-1,375698,817931,-1,460751,-1,-1,-1,-1,-1,-1,-1,-1,-1,431843,532013,506936,179848,682398,732255,166474,-1,162092,-1,685968,330209,-1,455875,-1,-1,182439,-1,860143,-1,27298,28432,199075,-1,912520,-1,570182,772515,-1,-1,-1,989772,-1,648002,-1,703472,572229,-1,-1,-1,915655,-1,749514,-1,833893,-1,928989,-1,362628,962856,-1,-1,-1,-1,177895,735064,982854,-1,516218,-1,-1,-1,-1,-1,171845,333261,-1,543122,855132,-1,442458,912506,-1,-1,641695,-1,-1,351352,-1,-1,-1,-1,561862,781964,-1,119663,480062,284335,-1,-1,491471,-1,-1,-1,586825,-1,-1,578451,-1,991766,214607,-1,182158,-1,-1,582805,630558,-1,-1,896789,644548,-1,-1,-1,-1,5728,668002,60617,417071,573022,-1,348508,755870,685358,-1,291956,755385,-1,-1,464194,-1,-1,-1,-1,-1,399717,673532,630706,-1,124991,91119,-1,-1,-1,-1,-1,-1,-1,947864,408846,-1,-1,72756,115348,573190,667144,-1,-1,-1,814115,-1,-1,866240,-1,820305,837570,557992,180628,428941,-1,55577,-1,151820,185912,-1,961357,-1,911962,-1,-1,148339,284978,941399,-1,-1,529352,-1,775850,-1,-1,-1,178522,956406,760126,902889,-1,-1,165627,571713,293889,-1,-1,25934,-1,115025,630621,-1,397608,-1,-1,-1,-1,195068,-1,569058,-1,-1,-1,915527,776293,339843,-1,-1,280414,964992,657061,-1,719225,-1,-1,-1,134201,566327,-1,-1,438872,863150,333263,-1,480796,-1,111376,-1,326814,-1,-1,306234,-1,-1,330390,-1,-1,265045,-1,-1,-1,547167,-1,-1,144452,-1,810663,-1,-1,-1,-1,237341,30045,-1,318198,-1,-1,604256,130662,338209,49089,-1,-1,-1,-1,-1,996391,-1,-1,-1,342460,-1,56387,492334,-1,435369,-1,774678,-1,-1,913577,-1,533974,-1,620003,902143,-1,-1,558277,-1,-1,-1,764134,459392,-1,211852,-1,-1,545136,-1,-1,-1,-1,329168,-1,593162,123885,772659,-1,-1,-1,-1,289076,342170,658758,830449,-1,-1,-1,301411,676132,-1,220602,-1,-1,-1,240839,-1,-1,-1,-1,520245,-1,-1,-1,-1,994814,-1,-1,228554,-1,-1,820033,-1,354018,-1,-1,499018,-1,-1,-1,560948,-1,-1,-1,-1,-1,239197,-1,-1,-1,138148,-1,-1,247193,127290,-1,553401,-1,432511,910019,441579,515534,789672,-1,95090,-1,-1,210337,907356,213230,991080,-1,-1,-1,-1,-1,-1,-1,242361,-1,385054,84156,-1,837629,693140,768359,-1,574884,333707,-1,100056,-1,-1,511120,300832,-1,-1,924391,-1,-1,471663,770696,706178,-1,333420,264312,489113,-1,-1,-1,449101,-1,393912,-1,177804,-1,249355,-1,-1,-1,509666,-1,-1,494937,857117,701536,95344,-1,653215,-1,-1,632274,-1,722181,853411,784369,173164,-1,-1,925528,-1,-1,376586,763732,-1,317556,-1,406359,-1,-1,688862,732723,-1,-1,88065,-1,478128,-1,187379,-1,-1,370633,774348,607143,-1,813587,28402,977341,266466,257527,-1,314412,-1,-1,735428,950320,997334,-1,-1,214905,-1,419271,-1,-1,-1,420262,896625,-1,189934,-1,891869,458760,-1,-1,-1,539981,-1,-1,445232,-1,-1,-1,-1,445630,-1,-1,451976,-1,-1,616095,869871,-1,92495,-1,444153,-1,728540,961939,748846,-1,-1,743279,714724,-1,-1,-1,116290,-1,-1,-1,-1,-1,995149,829792,989473,-1,739319,692804,-1,-1,986095,-1,-1,850275,35577,305586,-1,14748,150706,925591,-1,69645,99254,-1,357314,464160,-1,-1,-1,986137,136670,491714,-1,904954,506799,422920,355404,-1,214282,936883,633222,-1,461521,427060,-1,-1,825448,-1,144801,-1,20651,323202,487589,707056,-1,443901,937055,-1,215601,689323,649290,-1,673754,-1,103500,757241,-1,-1,994439,220250,272453,-1,-1,537554,-1,842457,-1,-1,59128,-1,-1,-1,870921,-1,453823,-1,637443,-1,762171,555174,-1,-1,938656,-1,-1,-1,498606,743119,654057,501914,-1,302073,52970,-1,172940,-1,454314,-1,469959,-1,638028,966223,-1,-1,-1,-1,830104,795182,-1,-1,562387,681586,-1,454956,131265,-1,895820,-1,367549,-1,-1,-1,672535,-1,-1,-1,111847,-1,724401,-1,594504,-1,181026,-1,-1,-1,-1,-1,-1,-1,485323,-1,-1,102511,957291,-1,-1,822167,581460,987123,-1,181945,-1,-1,-1,59115,537420,498616,-1,-1,-1,134841,332909,180300,439941,135823,719442,74714,497979,505784,403608,573020,-1,783690,-1,448152,40753,-1,548548,-1,840032,563909,-1,53988,307518,-1,300683,202400,-1,199098,-1,956323,391907,-1,-1,-1,-1,-1,-1,-1,105248,-1,274943,964384,721991,-1,-1,-1,661660,952013,-1,-1,-1,773863,306690,-1,570580,-1,178607,652504,628093,-1,-1,-1,699063,211095,523684,47824,412602,-1,-1,-1,375299,-1,460149,685406,-1,208819,290066,836173,702280,304593,76319,425800,112703,-1,711158,-1,-1,557092,202281,711279,-1,-1,998458,879087,-1,680869,313098,725422,-1,-1,71671,424638,-1,927993,166454,-1,-1,-1,-1,-1,984838,199247,34206,268799,-1,-1,-1,-1,-1,570296,-1,-1,-1,622440,-1,-1,18732,-1,-1,-1,928080,-1,-1,787632,-1,936662,434281,-1,-1,-1,-1,796819,-1,-1,-1,-1,-1,526086,-1,717624,-1,-1,-1,-1,-1,84710,-1,-1,-1,799981,-1,-1,726718,-1,-1,700403,-1,-1,732344,-1,98136,119507,-1,-1,65407,722845,791073,-1,931001,324663,-1,625697,989904,256099,-1,204570,310305,928245,494973,716947,850678,850244,953017,99231,222596,595293,-1,588073,164150,-1,968426,-1,-1,702159,784537,884236,831130,278542,248320,83664,-1,-1,913132,-1,-1,238177,718369,38643,-1,-1,-1,882633,941269,147828,-1,-1,-1,363160,93278,128920,521834,721783,-1,263447,96357,-1,341346,-1,-1,-1,-1,278528,292263,-1,-1,-1,988338,-1,557607,698984,982694,-1,369045,779418,284174,-1,393561,573231,805478,848027,-1,-1,-1,221099,-1,-1,-1,-1,-1,-1,-1,-1,710474,249941,456415,-1,877869,-1,247974,-1,612770,584541,885617,949406,-1,426205,-1,-1,-1,883166,178908,193578,-1,-1,-1,396590,-1,-1,699309,-1,-1,39871,134617,-1,-1,822309,-1,71639,815934,-1,-1,591615,-1,-1,-1,163238,183235,72708,165075,-1,-1,-1,604399,497284,-1,-1,-1,-1,67959,635786,-1,230470,700898,-1,731106,671865,582585,160597,699184,176694,307274,820924,105858,842011,368949,433773,208953,-1,-1,972219,-1,411217,-1,-1,-1,-1,-1,-1,-1,852255,-1,462957,186936,-1,900200,644667,-1,762873,-1,-1,-1,396277,-1,230991,-1,-1,195491,684199,-1,-1,36583,-1,778667,-1,-1,-1,-1,-1,-1,837397,-1,-1,-1,-1,-1,-1,363992,-1,-1,112157,-1,-1,737455,249199,-1,192021,-1,151555,-1,438988,-1,670248,-1,-1,-1,-1,-1,353490,-1,-1,164958,-1,-1,380710,980724,-1,-1,-1,709678,-1,334144,130377,-1,-1,-1,-1,102861,543932,-1,623174,-1,-1,267563,195977,-1,554432,934177,652579,536543,516432,-1,379221,651929,-1,812709,-1,689809,950538,-1,-1,-1,-1,-1,-1,-1,-1,-1,113599,-1,898887,-1,953537,971709,-1,449658,-1,-1,580102,629397,973405,-1,-1,440381,-1,-1,100889,-1,-1,674262,-1,-1,-1,658649,-1,-1,-1,-1,833777,-1,-1,410258,-1,-1,123999,504572,-1,848659,-1,935875,944585,640787,553720,-1,970357,-1,524519,-1,-1,497710,40232,-1,554095,-1,-1,-1,-1,747960,14069,881296,-1,-1,275426,174680,562774,-1,193013,26102,123395,982072,740825,-1,519540,-1,-1,-1,-1,-1,-1,812782,927704,-1,846519,590860,695241,701569,79778,751734,695155,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,347756,-1,-1,-1,-1,-1,-1,-1,-1,186526,714392,282915,427726,-1,395251,603838,415720,-1,405132,202547,117640,178865,-1,-1,575660,-1,260166,964592,-1,460374,-1,-1,-1,-1,-1,-1,-1,251041,-1,-1,-1,570678,981846,26911,-1,-1,-1,235216,243512,858303,-1,-1,500100,-1,472921,-1,-1,-1,-1,157654,-1,-1,-1,61548,-1,49052,-1,413865,413035,-1,-1,69644,569441,653496,755954,-1,-1,961022,103395,-1,-1,205412,683464,124142,-1,588981,559879,-1,425837,-1,898105,-1,543552,-1,373016,-1,319558,-1,-1,645223,110130,-1,689287,513760,575379,-1,-1,881290,-1,267604,329927,786960,323163,87677,-1,-1,-1,772110,744336,-1,-1,701213,-1,687221,81147,-1,-1,351581,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,832628,44324,841198,158425,-1,232712,-1,686226,-1,628661,213375,508634,854208,542971,267657,-1,-1,650680,-1,-1,-1,22020,-1,912183,-1,-1,1582,751068,139303,-1,-1,-1,751763,-1,568111,93206,12192,533234,514195,-1,-1,237220,-1,681193,644147,756767,470415,-1,-1,334562,-1,-1,614241,-1,-1,-1,339409,716050,-1,-1,-1,-1,566039,-1,101797,-1,135588,-1,514260,-1,-1,90430,174707,395863,-1,-1,-1,233185,-1,-1,-1,-1,203523,853276,-1,240528,-1,-1,42499,-1,140025,700306,-1,-1,754566,-1,-1,-1,546309,-1,-1,-1,-1,696992,499611,336229,-1,-1,259210,-1,-1,-1,-1,-1,-1,699119,93653,583772,621617,216345,-1,-1,-1,270198,441944,-1,-1,-1,747503,-1,-1,605870,-1,-1,-1,-1,885156,-1,908064,-1,-1,918611,-1,-1,969986,362095,-1,519056,157111,421563,-1,469295,-1,813796,106115,528522,-1,803901,355289,-1,-1,868873,-1,-1,725497,823705,415184,-1,331775,627700,-1,941967,554934,580996,-1,606312,102287,444969,-1,-1,-1,-1,905264,-1,860259,729916,28202,-1,-1,418426,-1,781566,-1,991848,-1,454827,858274,510580,-1,-1,-1,684027,353575,716969,281623,483484,-1,-1,631071,-1,-1,947903,-1,499129,-1,406058,410978,591134,-1,-1,355050,263935,-1,340185,116901,140575,-1,-1,-1,258111,-1,549439,-1,885039,303919,-1,847327,455288,624502,65082,488742,747991,-1,371320,978570,441360,-1,-1,154631,988841,-1,318162,106947,356439,-1,659174,-1,-1,-1,-1,275540,104122,870916,967921,-1,-1,589395,-1,905490,-1,975494,12652,-1,-1,-1,474662,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,944312,-1,-1,-1,126,-1,595900,297899,-1,584473,-1,594836,-1,61041,819504,-1,-1,-1,427229,97538,589819,-1,443094,-1,-1,-1,919719,-1,386330,426049,500574,179685,647102,-1,407655,709006,-1,-1,726143,504185,234697,-1,1722,-1,-1,-1,582074,1714,581803,778391,498702,673470,-1,-1,-1,430137,568005,-1,-1,-1,93758,480220,-1,335933,-1,966923,98506,-1,-1,895839,141191,587470,649222,943395,353441,-1,-1,106326,-1,-1,292419,-1,-1,-1,134147,235091,-1,998963,773153,208155,248527,-1,825510,-1,802045,-1,53204,-1,-1,102730,-1,-1,-1,194856,-1,796317,284497,425107,239231,727579,450274,290128,619606,-1,211967,-1,-1,829463,-1,-1,906457,-1,345589,500783,471608,-1,111399,401731,-1,-1,-1,-1,128910,-1,-1,-1,-1,918718,379289,-1,907145,842433,-1,-1,-1,-1,80459,874703,-1,-1,-1,-1,-1,874672,-1,-1,23148,121359,58069,309871,-1,43430,-1,-1,-1,466736,147269,-1,-1,-1,416385,884077,-1,-1,-1,-1,530047,-1,-1,500481,539770,773253,424533,40882,312362,-1,-1,393854,-1,-1,902969,978825,-1,28924,262495,-1,-1,718578,-1,210435,-1,-1,-1,539080,-1,321582,-1,544392,-1,-1,-1,538965,-1,358996,846255,328477,426707,-1,542173,-1,579810,892503,-1,-1,958681,-1,573772,533703,-1,325154,-1,997761,919720,-1,364825,465500,-1,-1,-1,410842,-1,218647,885233,-1,-1,-1,273068,860675,900665,512528,164366,892179,-1,-1,-1,325756,944527,305541,141271,-1,-1,-1,-1,372544,-1,972868,-1,940950,520668,98783,-1,256243,-1,-1,-1,-1,-1,-1,676089,-1,-1,675420,-1,711261,731229,252575,716358,44154,859938,405221,926095,-1,-1,328277,650099,-1,894951,-1,-1,-1,546710,275937,-1,408844,412547,-1,-1,-1,413232,-1,-1,-1,-1,-1,847657,-1,287454,600348,172713,752375,877486,-1,-1,143517,-1,916161,863861,-1,-1,-1,-1,694867,-1,-1,-1,707135,-1,-1,-1,-1,-1,52995,700070,-1,-1,-1,-1,-1,-1,-1,-1,298486,-1,-1,-1,277751,292790,-1,-1,-1,-1,478978,-1,-1,89815,674334,85632,187830,374737,873696,770125,794513,490845,-1,-1,-1,557733,-1,670177,434155,476494,-1,-1,385969,122611,527355,163695,644444,773459,543653,-1,615146,-1,43325,-1,628659,-1,-1,-1,171203,362366,-1,160940,-1,-1,58051,-1,941652,-1,-1,-1,138314,-1,-1,-1,-1,-1,-1,-1,-1,-1,870960,87410,975765,-1,-1,-1,89748,-1,797396,-1,-1,490831,-1,-1,313211,-1,-1,-1,516806,-1,-1,-1,653473,-1,241622,423349,672561,618053,-1,473457,-1,-1,-1,-1,216624,990844,335923,898805,503980,-1,313713,-1,-1,-1,710756,-1,-1,763711,233914,-1,-1,-1,-1,-1,-1,950859,-1,-1,-1,-1,-1,-1,-1,535529,-1,-1,790070,-1,-1,-1,509672,643299,361003,-1,-1,308457,-1,-1,121084,493557,-1,93121,-1,338461,842702,-1,100555,-1,-1,177510,-1,-1,-1,-1,-1,-1,-1,602284,-1,-1,13292,821062,-1,608737,-1,-1,220047,572898,-1,-1,-1,676558,600834,-1,-1,-1,-1,-1,-1,-1,789634,-1,-1,118969,808492,-1,-1,-1,26969,-1,-1,34178,323239,-1,-1,-1,-1,-1,907982,-1,902783,864705,453910,11845,-1,911363,346737,580244,628779,-1,460442,618429,344933,728337,647519,405311,628132,996117,-1,-1,692102,-1,653853,434736,-1,834057,-1,959478,958488,275049,877777,881754,-1,618772,588337,-1,-1,-1,-1,-1,206232,-1,411566,-1,-1,37107,-1,234249,791362,-1,922167,-1,381461,672373,-1,888073,90043,-1,-1,-1,11328,-1,570777,11147,202106,-1,-1,177898,-1,-1,699497,-1,678741,957122,-1,966633,413806,-1,184131,678033,940061,381554,175597,793501,962586,393199,-1,-1,-1,83969,-1,-1,626579,-1,-1,483328,478175,989016,116127,336560,-1,567547,-1,-1,-1,85943,23766,-1,519617,-1,116679,-1,-1,996282,923502,762070,-1,-1,-1,788219,-1,114874,-1,-1,410641,-1,148587,655869,957151,-1,-1,379480,-1,-1,-1,759793,-1,613932,-1,110132,645733,599244,237248,275753,396742,552352,-1,402664,953460,138077,634174,665672,932737,224443,-1,-1,-1,-1,159677,223347,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,327669,-1,-1,131981,-1,674403,552901,838232,-1,727519,13361,-1,-1,203746,705439,-1,892745,-1,837399,564361,129765,29003,5518,-1,-1,-1,613074,634477,-1,591931,-1,-1,357777,-1,419617,-1,706811,-1,-1,-1,-1,182008,877330,-1,317924,878677,-1,-1,540704,-1,-1,-1,853134,584816,-1,-1,-1,514698,-1,370027,-1,-1,100763,-1,417923,-1,-1,-1,879400,-1,670947,-1,700540,-1,-1,-1,996652,-1,-1,220464,-1,-1,-1,-1,40042,247067,439808,596499,177689,-1,-1,-1,38880,509491,-1,191347,462330,-1,-1,438255,477478,952265,992556,125063,764710,416531,68973,139631,626390,702347,548021,-1,561219,578943,91440,-1,-1,755689,-1,142804,-1,907537,-1,-1,-1,-1,-1,-1,-1,-1,667799,145880,-1,-1,-1,-1,-1,-1,501837,-1,384918,-1,-1,289331,-1,-1,-1,-1,913292,656788,-1,432660,100700,788360,322573,431175,764266,795967,-1,-1,-1,-1,843079,873379,247264,694,116802,-1,83749,-1,432817,995179,-1,763887,209500,-1,-1,-1,-1,614090,873860,-1,-1,-1,-1,-1,-1,794377,308084,408986,545352,935548,623498,758786,-1,-1,-1,162354,-1,526799,-1,-1,-1,-1,-1,-1,867186,-1,337065,-1,110943,-1,347532,140199,-1,-1,159060,-1,138548,387279,-1,-1,-1,764128,-1,150740,266371,324011,333747,747530,-1,651080,265788,-1,-1,206902,147418,-1,311098,157045,-1,191701,867739,-1,-1,-1,925098,146784,85109,916317,-1,63720,796405,-1,-1,955943,-1,-1,759246,-1,246179,177822,-1,225258,326485,371127,-1,-1,-1,470883,772758,-1,185062,887791,597506,-1,783538,230708,-1,-1,66511,-1,870339,-1,78902,-1,517036,-1,319005,152683,527410,527111,311246,184361,-1,994058,-1,-1,192767,888309,888212,-1,988671,132852,682558,-1,-1,285737,-1,-1,-1,463719,-1,549183,106127,-1,-1,-1,-1,-1,874370,295540,324837,-1,670204,219045,-1,-1,503908,-1,239102,-1,210570,-1,475892,-1,-1,192613,-1,616826,7698,-1,-1,-1,100542,850935,983400,-1,48815,-1,676124,689597,-1,360509,648805,94134,546049,-1,291130,61866,973983,99055,-1,-1,360288,799700,853530,567256,220801,-1,-1,-1,-1,789683,-1,912373,-1,976544,-1,-1,424121,106142,-1,823542,943641,-1,143356,-1,8306,-1,267274,-1,-1,963838,523646,921720,116950,-1,-1,571032,-1,-1,683070,230168,384822,39214,314777,319673,312404,-1,-1,10703,490825,396366,-1,-1,291820,-1,-1,-1,-1,936057,-1,568214,-1,-1,-1,-1,-1,-1,-1,404861,618411,-1,-1,-1,-1,-1,-1,634670,-1,261971,419268,979831,988245,-1,206862,-1,-1,201645,-1,-1,731717,867457,101872,-1,786789,-1,-1,-1,553903,205700,-1,-1,-1,-1,303174,-1,-1,-1,983651,55123,619866,75552,650793,962870,386286,186858,-1,526273,-1,-1,699306,905720,-1,-1,-1,538993,-1,686221,-1,-1,-1,-1,-1,-1,-1,-1,929909,-1,-1,707499,-1,-1,475517,-1,868343,550297,346374,-1,-1,200447,673453,250118,-1,-1,610241,-1,595756,-1,-1,665501,507564,-1,691525,460880,999872,-1,732833,-1,10359,-1,198071,-1,-1,-1,-1,-1,95348,-1,468339,-1,-1,220129,704288,789096,-1,913299,831573,67559,-1,460147,823338,10218,569767,962664,-1,877107,626262,-1,148514,-1,-1,739963,777904,415451,-1,-1,-1,857626,863186,-1,785379,977149,-1,-1,-1,487952,-1,468549,-1,279426,883372,-1,874503,-1,642717,967105,-1,755985,-1,930821,320902,-1,-1,-1,969087,-1,-1,325287,362023,-1,-1,538805,-1,-1,684268,595625,895067,419650,802572,832424,-1,718632,376310,-1,488180,-1,405765,-1,830057,316359,64409,686463,-1,-1,176390,-1,542919,-1,-1,-1,84716,-1,-1,588766,-1,391214,316890,-1,-1,-1,-1,-1,-1,150965,576543,970387,-1,251078,52134,-1,-1,-1,627032,196495,-1,81804,442979,-1,121983,-1,609124,502652,-1,283217,-1,-1,800276,158055,784135,188051,238670,978695,-1,-1,597357,187842,-1,-1,333929,122564,263511,719658,-1,-1,429599,-1,70764,-1,83399,251635,-1,824357,-1,-1,776590,61001,272163,260419,216190,-1,-1,-1,-1,841908,-1,527568,-1,511142,915417,-1,-1,-1,-1,896384,205551,947410,-1,207553,204036,219620,-1,-1,32515,970148,-1,-1,-1,-1,-1,-1,322131,765317,-1,-1,532103,-1,-1,322025,-1,66922,-1,-1,417561,262835,-1,-1,-1,355872,510247,397403,784270,225447,-1,811101,-1,832589,510165,174547,-1,-1,699630,547848,336733,459195,187291,-1,261093,107658,-1,447351,745042,-1,620968,486558,308927,-1,-1,-1,607017,59163,-1,-1,-1,564870,245779,-1,560256,907454,116040,-1,-1,-1,725094,-1,-1,327300,966405,-1,696133,-1,-1,341614,-1,837956,-1,298137,-1,10641,925872,207087,273269,111200,66897,-1,638798,435142,-1,-1,630154,521669,-1,-1,-1,407045,-1,-1,130247,-1,-1,160141,-1,32310,-1,-1,180683,-1,-1,-1,-1,-1,-1,338803,-1,-1,908322,-1,-1,589205,-1,420174,-1,360923,953666,116720,-1,-1,389741,39346,-1,-1,816408,642542,-1,413113,-1,-1,184084,-1,879214,-1,-1,783658,630887,656493,-1,511067,984461,348728,200799,-1,660580,-1,80033,-1,970888,-1,-1,998420,807747,-1,-1,-1,-1,839903,319422,-1,768753,548720,477667,213083,681014,411928,853595,423706,-1,963591,-1,-1,222804,90036,638417,-1,721169,67663,-1,326043,302865,53664,850298,-1,868402,-1,87822,-1,675778,-1,893700,-1,-1,-1,656868,275408,502466,-1,-1,-1,273790,661739,-1,-1,412010,-1,-1,-1,904103,-1,-1,848671,-1,522507,-1,795881,-1,-1,-1,-1,-1,669301,478332,-1,-1,735688,-1,880659,26610,756545,39719,-1,-1,118592,242458,226018,-1,273619,277410,918247,-1,-1,612748,566180,923723,123714,764805,-1,-1,304353,-1,865638,-1,-1,-1,981421,-1,490262,898886,-1,262335,-1,-1,-1,244017,578156,-1,-1,281354,949186,79549,70027,-1,448663,562842,-1,594532,27994,-1,438409,-1,-1,32201,123509,868181,-1,-1,436860,358636,895705,434809,497172,987648,-1,-1,-1,-1,-1,-1,880033,974881,-1,-1,-1,-1,381676,411764,-1,874531,-1,85840,429708,-1,590313,-1,407938,7923,2116,-1,18128,215402,-1,-1,980486,113912,618415,-1,-1,856673,96008,-1,188373,253367,845611,63132,647994,-1,576094,-1,-1,866725,800876,557002,447157,-1,-1,8414,289719,765837,895979,651768,-1,507138,91509,95858,-1,778583,369392,241749,-1,-1,-1,-1,406812,-1,-1,606667,361638,680413,-1,-1,212216,-1,-1,-1,756240,-1,-1,777086,-1,79132,-1,727304,-1,-1,775610,584500,152843,727215,8350,-1,-1,625061,-1,-1,-1,112701,752559,-1,2851,-1,-1,-1,995756,331073,-1,625244,327041,857201,-1,50184,538834,-1,-1,-1,521644,-1,992049,-1,-1,616325,532130,-1,954064,-1,-1,-1,722413,-1,-1,-1,-1,693238,42688,-1,-1,776114,926459,-1,901971,-1,-1,984896,-1,959526,-1,165428,-1,-1,-1,-1,30103,797014,10114,232471,601950,-1,-1,822484,919494,-1,-1,72974,470951,572708,-1,386627,438124,335801,-1,-1,-1,-1,-1,862933,-1,-1,-1,-1,945759,166065,115493,498766,761075,-1,-1,-1,-1,768382,-1,374278,-1,-1,-1,-1,65427,849823,42867,-1,551724,-1,-1,792350,-1,53277,946530,-1,-1,-1,493053,-1,-1,-1,-1,-1,-1,-1,597653,-1,-1,704769,13095,885429,-1,190019,362947,632984,-1,-1,-1,-1,-1,-1,888847,757380,-1,615790,-1,60692,818117,758989,47614,-1,393449,916399,-1,370967,-1,14719,-1,-1,989649,-1,623890,-1,-1,269832,509806,425789,371930,-1,-1,-1,-1,143343,482238,375433,155303,-1,-1,283300,496939,-1,337785,-1,-1,867957,197516,-1,698074,-1,-1,107005,735776,-1,-1,-1,-1,313971,-1,-1,264470,674673,-1,604348,-1,859857,-1,295761,130770,-1,189822,-1,-1,966484,753744,-1,104250,-1,-1,-1,-1,-1,283071,-1,942448,852901,-1,-1,546154,605901,112926,480093,442202,-1,-1,673641,831403,531250,-1,-1,-1,168898,-1,-1,-1,-1,857744,222592,712146,586864,260033,-1,692936,628297,155442,291885,674620,179229,447096,-1,-1,-1,160332,900946,360758,-1,172175,808884,93729,-1,49830,-1,691611,-1,211846,-1,8656,841430,234890,-1,638828,473675,-1,-1,-1,367144,-1,-1,-1,131911,-1,865975,901134,266181,755550,950850,452059,341797,-1,-1,689296,11114,715211,620682,-1,-1,903278,603900,709384,107014,-1,-1,784596,173044,-1,-1,687476,918106,-1,430064,-1,-1,27419,692863,980428,465633,-1,708344,-1,429699,-1,-1,-1,-1,857206,908972,-1,251581,-1,670300,255514,-1,-1,-1,-1,-1,-1,-1,-1,526446,810447,-1,242355,322743,405953,-1,429744,139988,-1,-1,874358,91895,105142,100590,189527,-1,-1,954229,882147,-1,888303,-1,244535,-1,-1,-1,-1,841598,250506,-1,50231,-1,-1,-1,78225,-1,259299,904587,53463,-1,-1,-1,-1,646065,452981,-1,-1,798326,-1,-1,188004,-1,506026,762411,-1,-1,-1,228274,714653,-1,-1,-1,-1,-1,-1,-1,296296,712106,829407,44448,-1,-1,321777,-1,577477,-1,-1,-1,-1,-1,-1,-1,860246,527451,-1,-1,-1,953903,-1,407716,-1,-1,-1,-1,219289,550001,457191,768987,148948,478944,220485,57767,-1,151676,-1,20390,149553,-1,249863,477758,-1,624389,504585,-1,7468,175945,247708,182000,-1,305114,547513,-1,741246,-1,176542,-1,-1,959969,402860,859848,-1,-1,2754,-1,-1,807378,865184,289391,77522,-1,350532,206370,-1,-1,-1,-1,720775,-1,-1,-1,-1,814240,-1,-1,758241,637990,449440,785282,911389,-1,-1,557011,260269,369323,353695,-1,-1,816333,773051,-1,444364,-1,399720,58610,-1,651200,420407,-1,152712,443881,-1,-1,-1,-1,485706,-1,217178,863719,319524,-1,-1,-1,-1,794595,203097,-1,-1,472008,324078,-1,654126,657545,54873,-1,173054,-1,334171,-1,-1,883841,-1,455107,-1,-1,-1,-1,-1,856004,449420,-1,-1,-1,608988,746348,108173,-1,-1,738795,479799,723558,565376,-1,-1,271423,-1,23564,705717,316275,669552,925401,619679,-1,246137,251885,3296,376187,177464,-1,264734,-1,933860,224075,-1,171264,856951,-1,452626,-1,5721,634076,602119,-1,-1,648178,-1,-1,-1,-1,-1,570917,-1,-1,-1,766789,100792,284151,755472,960828,-1,-1,555909,-1,-1,-1,-1,-1,929721,-1,409038,-1,-1,-1,532104,-1,-1,806511,408820,451603,-1,-1,269503,-1,-1,-1,-1,-1,462302,523685,359585,-1,576545,-1,-1,-1,845998,-1,645443,199933,950870,310662,577759,-1,-1,-1,-1,-1,583720,690250,-1,801579,-1,815874,380750,-1,15014,394794,-1,66792,-1,396811,-1,918495,-1,9492,402941,-1,364556,-1,310934,-1,807472,846312,-1,638240,-1,926540,-1,-1,-1,840807,963423,-1,-1,-1,-1,34143,-1,-1,-1,721896,153728,191534,773095,-1,-1,532662,74855,825850,-1,87846,537220,-1,-1,51790,868066,144747,672429,-1,319067,638058,-1,-1,-1,-1,359878,-1,631998,-1,-1,-1,260310,-1,-1,-1,-1,762095,641124,97614,683508,287957,367112,-1,-1,520775,-1,-1,273582,227576,-1,-1,-1,-1,180451,-1,353625,-1,-1,-1,2142,632939,-1,-1,-1,91008,161174,-1,85400,-1,-1,305226,-1,-1,647929,241874,374089,808870,-1,-1,-1,-1,-1,356620,100404,-1,924508,699164,-1,-1,214697,-1,276628,194255,-1,971721,785865,7645,128665,241920,74882,399337,-1,323479,52040,401781,972411,897129,603110,520894,-1,-1,-1,-1,870772,715958,254212,-1,-1,-1,-1,265944,-1,226051,885303,973147,711129,618163,810287,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,830860,-1,-1,-1,-1,569807,-1,216669,213565,605880,484604,-1,591718,583054,720101,55653,209383,-1,-1,-1,-1,-1,153671,-1,-1,400164,519011,59242,-1,-1,66061,-1,724133,-1,-1,156952,-1,-1,-1,-1,941005,750486,-1,927129,-1,-1,-1,732984,-1,-1,935872,199070,-1,-1,-1,73458,411991,-1,915225,-1,116730,-1,300374,162033,-1,177083,-1,-1,-1,323032,905970,-1,609288,-1,841016,140052,149900,668507,-1,-1,728387,560678,153252,103889,-1,-1,440217,-1,-1,732913,-1,-1,-1,1302,37339,560469,274865,-1,994194,-1,508843,-1,157369,424539,-1,10599,-1,399828,-1,345195,457556,275945,643523,979519,959814,152930,-1,-1,944362,-1,246104,239292,418124,-1,-1,116835,-1,-1,103616,-1,-1,14313,879383,861827,980226,-1,-1,-1,-1,953266,133677,879746,643068,-1,-1,722163,-1,-1,-1,257627,727957,571225,508551,-1,846642,41137,240779,704614,869306,-1,341938,515307,70250,-1,50780,-1,-1,-1,-1,96155,496886,811068,-1,682410,40978,-1,-1,17041,423799,-1,-1,-1,63301,871639,766743,-1,-1,-1,346707,741725,287391,166057,-1,556065,628332,-1,-1,555624,-1,-1,741070,-1,-1,-1,730122,-1,696240,358315,-1,-1,-1,90715,-1,936296,928107,-1,443401,-1,-1,-1,-1,764218,359038,658099,-1,-1,-1,-1,-1,-1,323162,-1,-1,838481,53828,-1,788007,47699,-1,-1,701014,872242,468728,982227,993622,976299,451953,757625,-1,634343,-1,-1,-1,695516,296818,-1,-1,-1,94527,950473,188265,686216,510434,-1,-1,452885,903941,320455,362646,591526,-1,170880,-1,167920,-1,-1,99627,-1,-1,-1,-1,789467,780554,347807,250210,-1,-1,-1,652632,476996,757329,-1,874467,-1,-1,-1,640762,897894,-1,972790,-1,-1,-1,586128,701884,293539,696171,842371,695489,294895,26685,277535,512456,-1,582048,-1,359440,-1,443328,799252,118200,685145,554043,530774,-1,392768,-1,-1,-1,580409,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,446547,76398,-1,751762,458451,867361,898761,-1,-1,320878,-1,863651,-1,-1,402364,-1,393560,982049,424548,-1,797124,-1,-1,980043,657126,-1,-1,241929,45802,663201,-1,-1,177639,696085,-1,751882,635690,-1,-1,-1,37918,-1,345611,-1,-1,-1,563942,130836,913001,828517,-1,917134,-1,-1,-1,890690,316079,-1,-1,747286,995348,727291,-1,768476,527580,696119,359245,621105,-1,87023,80637,-1,-1,-1,350431,-1,-1,353797,420130,-1,866287,533240,-1,590640,135066,270746,695211,-1,774296,885439,30500,617356,-1,444431,358070,-1,843424,-1,-1,-1,355851,-1,-1,-1,-1,-1,716129,-1,-1,-1,-1,728736,332246,431228,-1,-1,-1,-1,-1,817764,724222,-1,22114,369374,457979,829692,-1,22927,484861,-1,794739,-1,61942,605133,818125,-1,-1,-1,-1,-1,-1,584357,-1,-1,938514,368265,453871,-1,302105,380104,-1,-1,892978,650916,683987,-1,963225,-1,-1,252526,-1,177586,-1,531361,26756,-1,870522,-1,-1,-1,-1,211509,-1,17413,-1,71028,-1,-1,-1,677857,-1,83720,83998,-1,979724,-1,-1,-1,-1,454638,776412,791347,895882,-1,923738,157054,755559,-1,-1,880330,-1,-1,562656,-1,-1,-1,-1,742192,-1,-1,304741,134670,-1,56493,-1,-1,567165,-1,343057,790303,851796,595924,-1,-1,260287,46260,-1,-1,74866,831386,-1,-1,-1,343249,638514,256181,373327,-1,-1,195858,-1,559962,132917,-1,-1,-1,283596,258615,944504,-1,-1,887763,-1,269082,232932,-1,341555,-1,618595,-1,802637,535846,-1,241433,385528,-1,-1,487454,-1,326368,68571,-1,-1,-1,631468,297421,-1,385215,405291,655237,315294,-1,-1,-1,-1,-1,308284,947162,525817,-1,822440,184306,843786,-1,-1,-1,-1,755167,279472,-1,161113,200474,-1,-1,-1,934769,-1,95213,713068,-1,532809,154071,714778,-1,634787,697561,690263,-1,-1,-1,132024,-1,-1,-1,-1,616675,603144,722689,322112,397178,731166,239378,661637,353622,-1,861887,575710,376926,798878,-1,-1,629810,600875,-1,-1,-1,-1,876520,850267,-1,-1,-1,353123,644063,-1,289044,-1,-1,404001,-1,-1,233855,-1,96905,797667,-1,140688,341302,-1,-1,-1,523935,-1,681435,-1,-1,-1,205097,656579,-1,-1,-1,-1,245263,-1,502885,737331,-1,-1,992509,-1,-1,569803,637867,-1,-1,-1,679666,623889,-1,-1,-1,854950,865851,-1,-1,-1,-1,-1,286506,-1,-1,828584,492335,298115,-1,457936,-1,663868,-1,-1,95997,981218,694068,818082,315574,487098,126743,-1,229020,-1,60570,291984,-1,116068,-1,-1,-1,-1,298580,136957,-1,-1,-1,-1,471478,-1,-1,-1,-1,996522,576216,-1,485101,-1,-1,863686,526377,-1,493911,616738,-1,-1,462130,45940,84321,782597,-1,-1,-1,645492,-1,-1,-1,442407,625817,-1,811366,78410,423130,-1,-1,198712,-1,658839,621470,-1,247819,706601,368423,826160,-1,-1,-1,-1,509304,33592,726733,422347,-1,783087,-1,-1,224114,768186,83075,-1,-1,-1,445431,371070,-1,-1,-1,-1,692989,-1,347438,9077,-1,226288,-1,-1,-1,-1,-1,-1,782965,761756,-1,-1,866620,-1,-1,-1,450636,920220,25402,861922,130866,-1,-1,152541,-1,167326,-1,664913,385385,-1,966677,564799,780846,533550,958303,649969,689675,157124,-1,-1,-1,-1,336712,-1,143215,-1,-1,125067,-1,-1,-1,-1,-1,995524,163169,-1,-1,727127,-1,-1,-1,220842,280248,-1,-1,-1,823811,169913,878916,-1,656020,613264,951666,971221,531745,198258,-1,524283,708903,-1,-1,539654,156645,781985,979800,-1,177890,867185,707962,839064,988604,-1,-1,-1,-1,-1,-1,238280,617008,228039,-1,304049,-1,-1,291171,-1,-1,384612,-1,644236,-1,-1,-1,512220,875432,383158,11000,-1,-1,-1,-1,511238,789623,-1,-1,648586,11618,-1,530242,116429,-1,117768,-1,69949,-1,123883,-1,-1,-1,640176,-1,943471,-1,-1,660046,-1,-1,-1,-1,-1,-1,19214,37413,-1,-1,702649,830115,-1,396602,140990,-1,84403,988040,140212,665120,128300,411313,-1,978582,589720,686312,-1,-1,956158,802053,684612,-1,307924,-1,386437,80151,61127,333435,1307,-1,-1,-1,964056,-1,-1,66111,-1,-1,-1,-1,189145,765745,641880,-1,-1,-1,22367,646317,71897,994374,847559,-1,897268,636648,-1,517600,-1,-1,-1,106632,-1,978590,213379,-1,-1,-1,508293,-1,502187,953805,-1,-1,-1,428449,419565,193582,-1,154001,123134,969565,795203,372313,-1,130664,564903,-1,-1,896811,136783,-1,-1,-1,597055,-1,-1,-1,634866,947672,-1,847401,177628,-1,99702,-1,-1,-1,-1,-1,130996,-1,509780,184776,-1,-1,144945,478228,-1,-1,363279,672634,-1,-1,421066,992473,-1,-1,-1,-1,-1,-1,-1,714153,-1,391835,398268,-1,-1,872482,-1,-1,528931,208594,403895,-1,-1,753957,-1,217368,-1,996660,701103,488514,307998,207077,358363,-1,25575,164016,-1,772967,-1,87394,236945,24579,46198,236596,-1,-1,985105,326802,-1,820380,-1,-1,907842,-1,-1,617670,-1,685106,665535,596656,-1,-1,-1,23660,-1,-1,339094,123924,823063,544228,-1,-1,953438,901451,-1,700771,726825,288021,212667,-1,347402,-1,-1,124676,790250,348686,614278,-1,-1,-1,-1,-1,778611,-1,235240,-1,245584,285348,602392,128613,120777,791456,-1,515434,736706,407769,834590,8239,172640,91143,-1,812614,-1,-1,-1,396857,513156,273491,-1,-1,-1,-1,92957,-1,820879,482527,754639,945798,3349,149588,-1,257838,-1,-1,698358,-1,-1,-1,737634,817954,-1,860792,-1,894513,-1,-1,-1,-1,823595,568119,-1,-1,677139,-1,744520,-1,735774,-1,24417,-1,-1,656296,-1,307816,-1,431776,-1,242790,-1,-1,891054,-1,-1,689149,500246,80382,752176,-1,-1,-1,-1,191932,551821,-1,-1,-1,545715,540976,-1,-1,-1,584215,-1,-1,302372,-1,-1,-1,334613,-1,-1,134377,719191,834667,-1,674215,-1,-1,-1,-1,-1,84657,-1,57501,726253,-1,839411,-1,450284,-1,101559,-1,-1,-1,-1,471480,-1,89198,973277,132516,-1,-1,-1,386641,763721,-1,-1,115709,658407,-1,927228,-1,-1,-1,851378,-1,930180,916063,-1,-1,90013,-1,170240,889155,-1,900625,838987,-1,-1,25908,-1,127844,15963,397457,925889,-1,-1,450058,-1,-1,47199,375031,597970,-1,-1,245304,-1,100876,-1,63183,-1,414432,539668,-1,-1,-1,645644,-1,373025,-1,27906,43155,127175,946697,768986,-1,-1,-1,911281,-1,-1,861941,215836,921827,560612,584745,586604,-1,526117,-1,796900,16510,-1,-1,500531,612138,-1,960221,-1,13600,557473,-1,703100,162858,-1,-1,-1,-1,17616,403284,-1,-1,394302,656959,-1,752767,-1,-1,787330,-1,-1,-1,277944,228524,490950,53101,706607,-1,804637,602875,768392,-1,527556,694099,332962,915794,28664,-1,-1,614074,465455,-1,404460,918,-1,-1,905791,433015,140151,979738,-1,909764,674667,-1,-1,-1,721356,-1,-1,-1,586420,692706,-1,-1,59943,-1,-1,570414,757118,646209,-1,-1,507670,-1,-1,-1,756154,-1,-1,618513,-1,-1,511252,749439,414919,65962,246808,-1,63688,-1,254982,52402,-1,13389,-1,373888,-1,363582,-1,-1,-1,969279,-1,294224,716219,504455,814215,-1,-1,-1,-1,366238,301914,-1,-1,218380,-1,-1,447621,283163,-1,-1,-1,917012,-1,193997,158796,-1,-1,362416,932277,-1,284613,613661,524639,3680,-1,-1,895323,-1,25267,806141,944509,-1,499665,94469,-1,746789,-1,67438,-1,-1,136929,935720,75213,887459,722652,873454,-1,832225,401849,799340,-1,126125,503674,624008,-1,161321,677967,-1,426005,108495,-1,801212,-1,-1,407170,882696,-1,888172,883523,127847,-1,-1,-1,898530,140796,-1,-1,-1,224689,552647,-1,689047,706955,247058,293779,243397,540773,911014,-1,298707,815111,-1,-1,445006,-1,-1,-1,262372,567510,976946,-1,-1,-1,-1,689075,-1,-1,418724,102604,884670,-1,-1,-1,-1,760150,942873,-1,-1,92502,-1,-1,-1,962995,-1,-1,599097,-1,795864,-1,614014,596895,325284,428469,-1,-1,-1,918936,-1,-1,-1,-1,806309,-1,49109,-1,-1,88468,-1,212193,998954,427591,488363,-1,-1,16390,-1,-1,-1,815919,674323,680094,311906,-1,-1,-1,397741,209843,-1,274998,23301,829990,-1,439543,-1,-1,-1,143250,-1,-1,880873,659197,849565,763146,953207,-1,265489,-1,698147,-1,726681,-1,65544,-1,292302,-1,-1,-1,-1,994685,750252,393192,-1,448776,72053,-1,-1,-1,-1,-1,103940,822251,-1,-1,-1,488049,262716,578159,183425,446524,392642,961741,-1,986558,543226,-1,384355,723174,-1,-1,-1,755702,-1,657888,157795,-1,245316,-1,283173,473271,122419,894771,487492,-1,742477,743265,23892,-1,-1,384648,-1,-1,568389,812038,380416,-1,968277,-1,479240,-1,197459,383254,-1,-1,772197,757220,-1,758936,-1,-1,-1,672871,-1,-1,-1,-1,977957,-1,933097,230633,196078,47323,-1,931229,385194,-1,-1,-1,-1,-1,-1,197449,-1,-1,-1,807100,-1,168113,252759,918949,-1,434338,-1,-1,409669,487848,88911,621293,794497,409181,-1,755807,6129,213031,823190,319526,832935,-1,35298,-1,553230,241077,-1,-1,140127,-1,-1,-1,308734,-1,-1,402837,-1,-1,443985,-1,580865,554539,667525,733230,-1,-1,-1,-1,619840,123224,863759,274389,934162,-1,-1,873289,916185,-1,-1,460704,46725,-1,354747,-1,506097,-1,-1,613975,-1,208848,862016,932033,62206,975601,291318,-1,-1,-1,-1,156370,-1,-1,300464,-1,-1,-1,701085,912924,316181,-1,270650,890652,-1,-1,-1,90673,-1,340561,-1,-1,273156,412799,-1,644302,-1,869,-1,651243,843055,-1,315994,564503,368905,159128,-1,-1,216826,428523,362483,-1,-1,-1,-1,64547,-1,-1,115072,-1,-1,-1,551744,-1,-1,-1,998081,75854,174526,-1,700286,-1,-1,730745,281316,-1,665632,506466,-1,-1,-1,706133,-1,-1,679306,753272,740513,121871,151926,840157,-1,108269,-1,282900,996103,-1,556581,-1,958062,-1,936289,-1,340145,-1,273651,924584,354505,430551,9507,-1,-1,758342,-1,375396,-1,913168,993248,-1,518168,-1,314243,665263,437505,159041,-1,-1,848084,330193,-1,-1,-1,-1,-1,498029,432985,-1,-1,-1,293680,824969,-1,834950,-1,-1,-1,-1,-1,-1,414309,64412,266629,906547,945953,563980,104180,-1,219685,113574,394700,73066,-1,277897,218136,542934,-1,458513,-1,-1,-1,-1,901218,879475,-1,476555,-1,985811,527898,633178,409977,551162,731156,-1,622451,-1,-1,-1,883480,633618,-1,771604,-1,-1,-1,688336,-1,588319,441708,-1,879733,535255,-1,840174,236026,-1,-1,-1,-1,-1,738521,331966,-1,98564,844003,883611,354577,-1,-1,83794,-1,-1,493203,-1,-1,-1,-1,-1,257399,457241,-1,-1,-1,-1,-1,-1,830707,32101,-1,-1,759039,235373,-1,-1,-1,-1,159609,280910,-1,-1,175544,257856,-1,352239,43214,92356,-1,218357,-1,-1,498362,116222,578129,21758,928172,867346,646570,189186,-1,-1,737198,-1,-1,158383,395214,589011,-1,402510,-1,-1,-1,-1,-1,215005,168674,-1,-1,984646,634037,352169,478143,-1,435364,909425,-1,652970,-1,297256,-1,-1,55583,37269,-1,-1,-1,-1,-1,-1,869029,838994,-1,442134,436695,459968,-1,380563,278692,459109,-1,-1,-1,-1,364645,-1,821395,189757,-1,346487,-1,-1,470501,-1,-1,-1,403490,116078,-1,987157,704800,-1,-1,626759,-1,258445,235032,751064,425153,-1,-1,-1,530332,272525,-1,-1,-1,-1,-1,431031,-1,598344,-1,-1,-1,716629,783537,582269,-1,49192,525987,309994,-1,-1,-1,-1,-1,-1,-1,355567,-1,599200,-1,-1,-1,-1,-1,399194,961153,757857,634770,-1,845036,-1,612100,-1,-1,-1,-1,-1,499228,616404,688668,420386,381143,445055,850652,120633,817062,-1,-1,-1,236995,-1,-1,627107,876366,-1,71479,638642,-1,942848,699138,-1,61511,227403,45113,-1,829499,-1,19762,966856,733069,454505,715446,-1,-1,194968,302673,-1,-1,-1,-1,-1,-1,562885,-1,-1,-1,-1,812750,-1,-1,-1,-1,-1,305549,-1,888638,-1,481351,-1,-1,-1,-1,688760,-1,-1,72414,-1,-1,-1,-1,-1,562455,206682,476659,-1,-1,634414,-1,93088,658192,-1,-1,-1,401309,333560,-1,548458,208117,-1,-1,483349,194572,-1,-1,-1,-1,-1,938997,-1,-1,-1,548766,-1,753806,117200,-1,-1,-1,166711,-1,-1,-1,-1,436952,816382,774261,-1,-1,-1,809238,861798,-1,-1,-1,479572,907697,-1,825430,477773,-1,943319,-1,-1,-1,-1,638115,766730,960659,-1,-1,-1,54270,957356,811630,204586,-1,-1,829384,804371,-1,878769,299734,-1,265141,524918,575643,-1,-1,14205,-1,796309,-1,-1,51842,745506,-1,-1,-1,-1,-1,-1,-1,981795,876721,677014,-1,-1,472759,173912,-1,572889,-1,658211,993136,-1,613346,-1,-1,602350,-1,460842,245017,-1,-1,915365,706980,-1,-1,-1,934681,579254,-1,-1,451402,322682,942592,470174,-1,844285,-1,-1,-1,196279,-1,655446,-1,-1,840735,386602,429389,649073,-1,-1,-1,875410,972521,203753,-1,270320,-1,501529,-1,941674,-1,-1,150822,521870,653620,659132,910681,601308,775934,-1,-1,-1,-1,-1,767239,-1,914654,103606,471984,-1,446051,451793,913929,-1,658392,727038,-1,325463,300408,530330,306232,-1,173950,-1,-1,-1,-1,-1,-1,835451,978300,-1,-1,927012,-1,-1,-1,138116,-1,-1,-1,-1,-1,563561,388456,-1,816157,702591,348007,-1,759132,-1,858412,529678,-1,682424,116220,12514,89701,284248,-1,812836,-1,498403,974389,-1,-1,422633,-1,-1,800099,296400,314921,-1,453090,-1,-1,429835,-1,-1,328162,-1,40899,-1,209290,-1,886294,-1,350675,740125,-1,324484,-1,-1,-1,-1,-1,-1,802036,192369,284157,-1,-1,413067,103361,101684,-1,828666,309739,-1,-1,-1,-1,-1,48242,760743,-1,-1,-1,-1,-1,643316,466657,-1,883402,72565,551361,-1,-1,881278,-1,805715,494299,66028,-1,140513,333667,-1,83876,555440,-1,576900,-1,-1,164320,-1,81634,383773,498324,259520,-1,748589,-1,-1,-1,-1,-1,-1,1209,233660,753604,821934,-1,897440,-1,-1,693838,-1,-1,-1,-1,514508,-1,460535,585668,242899,-1,-1,851901,119632,578011,510254,697240,551275,-1,82838,-1,-1,-1,624301,676168,729613,-1,879985,-1,-1,546766,564112,266018,923859,-1,-1,14052,-1,680871,658691,503801,-1,97093,27518,418772,817967,87193,714709,613987,653476,-1,-1,-1,354123,569952,189815,-1,824438,-1,843051,307999,317413,616011,-1,-1,105218,358253,-1,-1,-1,857387,-1,173463,-1,144301,595743,-1,910915,745979,454520,-1,672825,-1,-1,-1,-1,-1,-1,985328,-1,-1,-1,81332,816189,-1,58331,966895,-1,63277,216521,-1,861444,61573,-1,-1,476902,-1,443984,89881,-1,-1,-1,-1,88615,-1,-1,-1,48572,751852,232654,988370,373770,-1,967360,109005,740799,661423,-1,874285,567190,-1,569235,208328,-1,-1,466548,-1,314809,570599,311118,513418,-1,-1,-1,-1,-1,29852,-1,-1,547317,-1,673623,-1,-1,-1,49090,-1,-1,-1,-1,686625,177113,-1,274461,901168,-1,-1,-1,341944,454200,-1,66139,-1,788738,-1,600446,-1,446305,-1,-1,-1,-1,-1,703310,-1,-1,564652,-1,961811,305492,-1,-1,829104,-1,535341,773609,-1,363905,595211,228940,246232,-1,-1,-1,313650,417647,268872,886695,-1,-1,753779,344633,-1,901508,599668,-1,957703,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,632096,-1,-1,-1,755732,410866,806945,869772,967010,643208,-1,-1,-1,480431,-1,-1,-1,935112,-1,-1,70773,239195,982338,926537,538549,-1,-1,-1,457233,262282,-1,-1,-1,926862,691006,616025,874458,-1,498459,-1,-1,417441,439841,-1,363246,-1,979923,-1,746056,756540,-1,724713,905366,-1,219994,715771,158377,-1,-1,853975,756711,-1,-1,405337,-1,-1,-1,-1,-1,262947,-1,128623,97547,-1,571252,-1,522783,-1,-1,-1,-1,-1,-1,-1,-1,846262,510531,-1,-1,-1,32556,-1,-1,-1,232272,632548,-1,319394,419427,-1,333068,633472,89651,466000,975559,-1,-1,-1,-1,420772,-1,-1,743284,468972,573026,657587,-1,292006,492572,-1,284495,988380,-1,958965,107870,-1,-1,371607,-1,482309,-1,-1,229271,-1,-1,-1,844972,-1,-1,977500,-1,-1,-1,-1,-1,-1,519250,-1,-1,-1,-1,-1,477228,52823,163433,472996,-1,-1,-1,-1,-1,405857,793750,-1,-1,720810,-1,412310,-1,957019,470749,-1,864342,-1,938767,-1,-1,-1,409702,571418,-1,-1,504177,584960,509169,333175,570557,-1,-1,752610,875016,998015,12735,-1,-1,364213,-1,53689,-1,918918,-1,-1,-1,800739,108646,246244,948135,-1,-1,758274,7282,982376,-1,16040,-1,-1,213038,-1,-1,-1,-1,-1,-1,436005,499919,-1,-1,-1,936102,23656,424847,-1,-1,-1,798004,850570,143547,-1,-1,-1,-1,-1,377701,532401,625034,-1,-1,682882,441280,-1,-1,-1,104750,-1,230094,-1,-1,492029,903617,64352,-1,-1,-1,-1,-1,-1,698451,696443,-1,-1,-1,-1,754348,628097,7421,-1,166268,589569,-1,233426,790108,504665,34592,-1,-1,-1,853776,-1,-1,-1,497528,-1,-1,-1,469968,748836,-1,557516,655659,495425,-1,-1,-1,259127,-1,-1,21045,-1,324474,791539,715430,809654,261847,-1,296198,-1,-1,635299,-1,-1,365310,-1,-1,-1,827757,-1,804702,303825,-1,131345,769652,-1,-1,762715,933051,-1,-1,-1,-1,194609,-1,85887,-1,-1,656664,144970,331038,-1,189596,752087,159351,262080,-1,-1,838032,-1,487544,-1,205457,320822,921425,-1,985036,618524,361725,-1,619219,-1,-1,-1,-1,581903,347713,-1,-1,-1,-1,692515,536220,-1,-1,-1,-1,-1,-1,663682,529142,-1,229975,-1,330557,-1,617348,-1,-1,-1,397200,-1,703231,546362,461920,-1,777998,-1,584013,-1,659312,-1,74762,-1,-1,462088,-1,-1,679459,508900,-1,931194,527336,-1,204804,203966,-1,-1,-1,234642,500439,771432,384899,-1,832444,-1,762905,60452,169459,-1,194539,-1,-1,-1,188260,-1,-1,974651,513541,-1,954292,-1,748737,933793,575122,485205,276470,523046,193676,-1,-1,249446,-1,696796,-1,-1,626142,-1,-1,924848,386022,66752,-1,488179,905675,448561,154962,982089,-1,981228,922754,-1,856297,-1,196143,-1,-1,603320,27914,265920,-1,634799,-1,521710,706238,132780,-1,378876,892914,-1,-1,-1,-1,673110,-1,-1,-1,-1,264767,-1,371925,520951,-1,-1,-1,622272,109677,-1,-1,-1,-1,321134,893276,-1,207608,138495,356390,-1,-1,-1,-1,303942,266798,-1,-1,-1,-1,-1,-1,67446,102182,11014,698407,469149,-1,711605,899620,-1,507689,770132,-1,222970,960935,20799,-1,-1,-1,-1,798095,163016,143120,-1,-1,-1,-1,-1,741149,506056,-1,882951,-1,-1,-1,-1,229049,104551,782303,213168,-1,-1,407123,-1,-1,-1,-1,-1,-1,-1,655151,-1,116970,786884,909436,-1,226996,-1,-1,-1,92336,450153,724499,-1,425601,878298,-1,-1,-1,654984,-1,-1,-1,498752,-1,120546,-1,-1,516063,-1,-1,-1,305174,-1,-1,755399,405481,193660,492200,-1,-1,-1,753979,363330,-1,-1,-1,473801,-1,498950,18709,-1,190641,-1,-1,-1,678344,369919,-1,975561,-1,-1,795413,-1,-1,-1,888697,-1,509160,-1,-1,456149,-1,156048,-1,591124,213257,-1,901847,707524,-1,580317,412419,551789,873272,388984,-1,-1,-1,-1,821698,656137,-1,58137,271574,-1,906483,-1,-1,-1,336666,383081,231106,-1,-1,697168,434755,-1,-1,616358,415553,1069,-1,208839,826811,-1,802259,160774,-1,-1,585999,-1,806623,953509,-1,884536,383236,40987,555878,272948,730150,544605,960047,-1,-1,-1,483170,67916,879095,61608,-1,990410,441388,482490,802833,989683,235149,-1,-1,519222,484669,-1,-1,-1,-1,579930,533501,-1,447589,-1,-1,-1,-1,812447,-1,420750,-1,863860,598006,91565,-1,-1,-1,-1,131801,-1,614642,345847,396132,338234,-1,-1,298588,-1,-1,293399,405629,399497,710739,-1,238206,395928,-1,694870,65024,-1,157261,-1,284313,597374,-1,-1,596974,-1,-1,-1,-1,494721,330236,-1,309258,575912,584725,-1,442405,664069,218988,9460,-1,160991,447198,103787,-1,900366,-1,-1,-1,570643,796727,201989,29556,239817,401556,372282,-1,-1,-1,-1,-1,927631,-1,355346,178279,989951,-1,-1,-1,-1,-1,-1,-1,602952,-1,781124,692123,-1,-1,-1,656492,156968,-1,591611,655665,-1,-1,37726,410470,-1,905582,-1,807608,608542,-1,-1,-1,-1,-1,-1,662272,-1,974512,600179,43371,243763,-1,76411,-1,786518,750776,810079,-1,246013,136996,-1,-1,-1,-1,340217,-1,661060,527303,664250,40152,557089,662836,704227,-1,-1,-1,552013,278275,-1,283557,-1,-1,-1,555505,631209,884667,-1,304704,-1,697222,-1,-1,431883,-1,517515,266792,915109,759822,71128,609690,962476,161015,815186,318752,554693,729489,-1,729031,-1,-1,-1,583948,-1,412344,654018,13295,-1,-1,-1,949237,-1,-1,-1,-1,-1,-1,62293,-1,659945,876419,-1,-1,700699,380472,-1,-1,-1,-1,840723,815694,891021,4061,97044,190273,690993,-1,-1,-1,-1,380358,698512,740263,-1,-1,2063,304022,-1,863430,-1,818459,132821,-1,-1,-1,118077,-1,265055,289440,-1,-1,262431,518252,-1,-1,-1,-1,474588,-1,-1,354475,-1,749028,927806,-1,841675,-1,387564,-1,-1,503950,871330,459644,-1,-1,-1,60453,338758,-1,-1,-1,342352,-1,-1,-1,-1,585383,-1,447509,-1,543053,162598,266136,-1,430304,-1,-1,-1,-1,-1,150515,-1,652608,796125,-1,818429,-1,-1,-1,333525,298886,903736,708021,359343,-1,876907,808467,985461,153454,489877,-1,785303,979585,69604,270202,-1,788145,-1,793592,678969,451413,-1,432049,126224,-1,12749,-1,383950,-1,115386,967353,207621,94792,418715,-1,279512,-1,404383,276951,-1,-1,659425,-1,431812,567826,131556,-1,-1,417982,122679,616457,-1,891161,549688,-1,121202,-1,-1,-1,-1,297559,-1,502702,-1,-1,183268,-1,-1,-1,216452,-1,486074,-1,522516,-1,427938,476681,717373,-1,-1,-1,269360,-1,-1,836018,991917,199508,-1,-1,-1,-1,279936,744719,158239,-1,966288,740109,-1,-1,-1,-1,-1,71349,859365,-1,-1,102070,-1,381569,654160,-1,-1,-1,-1,353332,544737,852167,-1,891029,-1,-1,-1,-1,59962,375494,551288,-1,267355,-1,-1,111803,627554,794691,-1,-1,497680,-1,811325,850203,243607,153281,-1,-1,883509,457168,-1,-1,-1,810852,887777,512699,550930,345327,-1,949309,-1,-1,964413,-1,814449,-1,677553,309710,86664,-1,18657,115585,735354,41695,-1,-1,661702,-1,-1,5111,-1,-1,-1,-1,815253,-1,313210,724848,-1,-1,-1,980319,281846,765994,-1,-1,767258,429357,-1,78378,-1,-1,-1,906400,310276,865974,-1,321101,695423,-1,-1,141585,-1,-1,-1,-1,54675,721072,-1,633136,-1,-1,-1,-1,-1,766766,805857,-1,-1,294585,-1,-1,886332,330151,-1,-1,739657,128869,-1,-1,-1,973433,827139,-1,692423,42718,-1,-1,-1,-1,160164,-1,-1,426966,200736,429543,235129,583886,-1,973786,543229,-1,-1,-1,63959,665705,-1,-1,8541,-1,-1,894334,-1,-1,-1,277927,65698,-1,982781,-1,48335,-1,-1,424088,142794,801452,-1,510838,-1,280323,-1,89559,-1,-1,276625,-1,-1,414897,200539,400852,148602,563916,476997,-1,-1,-1,-1,-1,-1,385126,199077,579540,921376,105699,-1,220061,-1,843431,75999,-1,-1,402481,-1,-1,891401,892246,88830,220808,159558,263018,-1,-1,-1,-1,-1,-1,-1,-1,529075,-1,-1,10749,55697,886152,97603,941256,535044,269902,-1,702394,-1,-1,519152,-1,-1,326081,790362,534324,-1,-1,-1,488923,676861,102993,155248,-1,-1,-1,-1,634067,334187,-1,873876,-1,580712,943709,-1,-1,-1,651576,92597,598055,-1,-1,-1,30579,311210,-1,503442,-1,-1,-1,79394,-1,-1,500922,-1,491612,517107,-1,105709,-1,177368,-1,-1,-1,325464,-1,567349,-1,385356,-1,804373,419995,-1,-1,277626,179033,-1,-1,-1,344787,-1,683439,-1,-1,881110,950313,686902,194684,-1,-1,67310,-1,175166,-1,-1,467027,499696,442501,362550,853564,600612,597330,-1,2430,454873,-1,810572,815766,-1,457334,716044,42670,-1,-1,839653,460000,-1,125973,-1,59592,564816,-1,-1,-1,-1,-1,250579,207644,-1,545108,374633,-1,191561,-1,294364,-1,148989,-1,253430,-1,303551,902133,937968,811016,-1,405263,-1,-1,469736,942263,-1,456646,217726,1297,-1,527071,909689,395414,-1,365460,-1,-1,44143,808631,829754,-1,204967,-1,-1,-1,791116,79844,838351,269334,-1,302085,371701,389503,661672,-1,-1,-1,760263,-1,-1,663396,-1,608475,547987,493623,-1,142413,-1,-1,-1,485015,-1,-1,375474,493698,-1,-1,-1,772283,-1,-1,538286,-1,-1,716398,894455,786717,508500,-1,-1,-1,909061,-1,908091,162152,-1,-1,-1,144150,-1,-1,549816,-1,141919,130246,567891,-1,-1,301730,-1,782172,-1,-1,-1,-1,240454,-1,315173,592225,980463,768037,2806,-1,-1,-1,754231,328144,-1,182663,-1,-1,-1,69026,-1,851045,-1,-1,644103,-1,945233,524577,589243,655239,795003,781225,-1,-1,-1,-1,947780,90798,629796,283868,797766,249973,-1,-1,-1,-1,-1,531773,-1,-1,-1,-1,775581,-1,686970,-1,-1,895963,-1,900937,-1,-1,-1,991520,-1,985008,830604,943529,354062,153371,416177,-1,-1,753492,760374,-1,370386,337409,640117,860572,-1,-1,-1,462651,262942,-1,438921,409225,-1,496210,55367,734153,266968,72381,-1,716092,597068,-1,759469,-1,-1,-1,28362,918447,828291,895720,929139,-1,-1,825300,-1,114369,744613,-1,80000,-1,-1,-1,-1,-1,-1,-1,313789,-1,765135,-1,797846,977848,-1,-1,-1,-1,-1,-1,-1,785718,543852,-1,16108,-1,693984,728060,374028,174543,3078,684053,820458,-1,-1,-1,208411,817292,949086,977871,995085,-1,-1,-1,-1,-1,711489,-1,-1,657865,-1,277731,-1,-1,-1,261743,-1,-1,764835,-1,290473,-1,824756,-1,-1,737921,872915,540757,-1,14818,-1,-1,991777,-1,757472,-1,435002,-1,635205,381986,-1,477777,619490,-1,-1,295208,-1,861620,73427,-1,163790,931032,-1,-1,114613,-1,587473,-1,722264,-1,-1,247854,730953,-1,-1,-1,-1,-1,284865,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,238080,748232,-1,-1,795857,323280,-1,-1,626464,-1,-1,438685,540096,720589,520452,-1,-1,95993,-1,-1,-1,-1,340549,-1,445811,823107,936931,911272,-1,36726,983542,-1,-1,-1,-1,-1,-1,-1,743537,-1,-1,-1,-1,985109,-1,450003,-1,298999,770063,619176,795628,-1,950377,-1,54860,-1,682581,-1,-1,758193,-1,-1,-1,-1,896361,-1,25241,392221,-1,444631,-1,283542,-1,108857,210131,-1,826633,728696,-1,-1,611956,660168,940228,-1,631228,991114,673368,-1,-1,-1,-1,467172,-1,-1,-1,745913,554084,-1,-1,-1,-1,-1,416071,-1,-1,-1,960810,975350,-1,136377,-1,-1,-1,-1,498186,875746,306378,170681,-1,-1,869191,858297,-1,334190,-1,627336,198994,112277,-1,-1,139552,-1,-1,114913,633213,615748,897991,-1,-1,398297,-1,-1,101317,-1,-1,-1,704086,882651,-1,-1,9106,-1,462131,505212,432542,175934,339525,703523,-1,166315,-1,316017,998887,-1,719553,-1,-1,596117,348214,240997,-1,840484,-1,-1,875047,-1,-1,437126,-1,-1,-1,166742,100371,264131,429894,990451,455359,427921,-1,71848,382554,105384,-1,-1,451897,441243,905520,-1,689348,-1,-1,-1,10970,-1,-1,-1,981448,-1,403113,384392,-1,-1,-1,857527,723063,380004,689438,-1,452627,-1,-1,-1,107228,438477,934287,-1,-1,170800,-1,713342,-1,716657,-1,-1,298529,644720,496054,-1,-1,256575,-1,-1,657379,-1,516792,-1,127261,-1,18695,-1,368403,689849,-1,286341,784755,424954,-1,167721,-1,395268,-1,-1,-1,842627,962401,121664,388946,-1,-1,261604,349455,469219,-1,-1,85354,-1,-1,328118,617745,-1,-1,590955,977946,752931,256134,-1,928327,-1,-1,-1,631502,-1,-1,-1,-1,-1,650991,464324,-1,-1,156961,628807,-1,995794,620335,210149,748387,-1,738776,700616,661148,-1,545198,-1,-1,826302,-1,107888,-1,-1,235619,-1,-1,179181,-1,-1,952638,-1,-1,-1,-1,146730,-1,550466,374057,-1,-1,-1,-1,360808,194694,-1,-1,-1,102285,220654,749450,38482,402743,-1,565601,879973,-1,438344,40195,-1,933072,812936,-1,975175,715444,299971,-1,-1,-1,527606,274929,396819,-1,-1,930272,836939,-1,860745,631335,657195,-1,778914,753294,475706,-1,814231,-1,-1,-1,-1,257422,591405,-1,-1,966874,818018,734398,106685,-1,-1,-1,548062,-1,-1,664455,351329,-1,266597,71445,816165,-1,-1,-1,-1,831703,-1,-1,82075,761944,-1,852736,-1,785958,957098,869249,-1,411314,-1,890722,986743,683147,586886,42069,359188,-1,491248,-1,691118,59712,143112,-1,-1,810793,-1,-1,-1,-1,407327,-1,509259,-1,93085,321004,-1,819847,942818,596134,-1,-1,-1,715378,-1,-1,-1,457672,461801,-1,-1,435116,-1,-1,653486,376799,635899,343965,468504,-1,-1,-1,981998,-1,653783,634687,-1,-1,-1,285736,463059,479521,955560,-1,520980,525577,428963,-1,525585,308786,947887,571253,470163,592696,-1,501103,-1,891721,455700,-1,480434,506125,-1,296819,709553,-1,760769,913032,-1,-1,922661,-1,-1,-1,-1,-1,-1,854605,684628,-1,-1,373586,-1,-1,684164,-1,-1,-1,439264,-1,875577,-1,-1,-1,106278,-1,-1,-1,-1,936179,616026,-1,599263,844834,-1,-1,-1,-1,228490,765119,-1,-1,466471,487942,719615,-1,-1,480350,-1,13406,545166,-1,-1,-1,611802,45676,-1,347276,-1,761160,214517,390956,553964,804648,-1,-1,-1,999377,128184,832732,-1,626164,608426,-1,-1,-1,773170,958658,115608,829069,1982,496513,293797,-1,691823,215511,-1,-1,-1,896001,-1,-1,-1,333287,692904,-1,152226,991751,883839,595007,-1,-1,722649,697675,433835,-1,888020,877468,-1,-1,-1,112986,-1,-1,-1,725920,-1,839501,-1,272024,-1,92026,672730,-1,-1,224670,-1,-1,267979,350788,-1,893616,690058,648332,-1,-1,-1,826077,452751,-1,564626,-1,4315,694395,207284,-1,-1,-1,786420,357143,588926,-1,-1,86385,456007,-1,285442,-1,-1,-1,-1,-1,-1,-1,-1,-1,844111,-1,645604,-1,-1,-1,71564,-1,168142,-1,-1,813022,-1,32611,703508,-1,-1,-1,-1,340410,-1,677247,-1,-1,-1,469616,-1,793327,968395,329376,703517,566090,-1,-1,144026,636739,-1,-1,-1,-1,-1,738542,-1,-1,-1,902006,80995,847853,257979,-1,-1,-1,-1,-1,976456,-1,565910,-1,-1,163588,324492,-1,-1,-1,-1,129284,-1,409214,-1,-1,-1,227140,-1,-1,-1,-1,-1,-1,802753,271579,634233,-1,516342,950986,-1,314652,-1,915801,456691,970272,377990,-1,-1,561980,-1,205601,-1,466076,-1,-1,778597,-1,-1,370677,-1,97559,376112,458492,-1,358503,563516,99878,224111,234278,-1,332885,-1,316064,-1,-1,680400,382790,834010,-1,-1,908627,948116,793641,43703,-1,-1,946044,223333,463739,-1,-1,704117,427587,608559,-1,-1,362064,-1,52209,864878,-1,-1,-1,975352,310346,319356,59695,179164,-1,948034,-1,-1,835887,758583,845940,-1,247553,-1,-1,-1,477152,-1,-1,-1,421871,-1,-1,88891,-1,411262,259315,-1,-1,679970,-1,-1,438985,144174,-1,-1,-1,-1,323880,752789,-1,988427,-1,927770,772623,719037,-1,9851,268336,-1,161837,-1,502671,966865,-1,999783,487633,276863,639465,228297,946637,-1,-1,-1,736174,-1,-1,443020,-1,-1,940413,-1,-1,300141,150086,-1,349714,987676,-1,282846,-1,893363,99100,-1,-1,-1,-1,-1,-1,227994,-1,-1,-1,398951,-1,505261,801970,198980,-1,691141,-1,32727,49545,-1,233430,147536,-1,75258,-1,-1,-1,729428,-1,-1,624725,496880,345554,235972,-1,-1,847054,-1,-1,-1,-1,98461,534451,276519,-1,649289,88655,196786,-1,226028,618636,925161,910032,39956,91360,727616,-1,580656,-1,-1,-1,691997,600391,-1,377269,-1,609112,66408,719859,674137,-1,349160,-1,-1,988643,-1,78191,987567,254097,486107,455526,-1,603766,-1,368374,-1,310406,-1,402287,28265,-1,698201,66951,-1,562837,551927,-1,389886,969528,-1,-1,-1,-1,108071,-1,19682,-1,-1,-1,680359,-1,634918,121280,168193,-1,728219,-1,-1,-1,-1,-1,-1,690742,-1,40669,-1,832310,-1,23599,607008,-1,793927,468415,-1,-1,434716,673487,260869,-1,964681,700894,153676,744617,455933,136015,-1,420507,305551,792441,257690,-1,149772,360987,-1,932961,-1,-1,-1,-1,-1,-1,615119,850077,-1,51577,896994,-1,-1,-1,267508,391201,-1,-1,-1,-1,-1,546726,-1,92107,458705,-1,938696,265395,427178,-1,-1,-1,222441,623246,117434,-1,-1,-1,-1,-1,-1,242655,-1,-1,819667,-1,886322,41258,187597,719369,-1,416042,-1,-1,399810,954721,491953,254777,593756,-1,671960,-1,452272,421622,-1,-1,749980,392158,-1,312585,-1,-1,950071,-1,-1,-1,998725,394639,-1,-1,521666,-1,-1,-1,-1,180356,661432,-1,484351,-1,387334,-1,927456,-1,-1,177957,-1,-1,763417,-1,-1,-1,-1,-1,-1,-1,988212,-1,396071,-1,-1,249909,-1,872623,882942,943098,672114,-1,-1,661094,-1,91278,-1,-1,506377,-1,-1,417626,-1,-1,-1,-1,668120,-1,-1,771794,224596,102627,-1,455553,693134,369240,-1,93020,954019,194987,-1,731667,-1,-1,38518,-1,-1,-1,-1,-1,-1,-1,127016,752495,378891,-1,-1,700577,470423,-1,939267,832413,-1,-1,610653,309404,-1,222684,675285,249165,995286,-1,956073,-1,747557,891556,-1,150773,-1,663434,856211,-1,612872,-1,-1,-1,290076,788299,-1,80484,-1,-1,-1,956037,756392,-1,536361,23244,-1,898515,-1,-1,459444,538403,-1,-1,-1,-1,427965,-1,620662,-1,852430,790655,586495,636216,111374,655504,9902,560789,-1,714149,-1,-1,234709,979388,46832,845991,376896,664057,264002,326303,676970,135332,-1,-1,-1,-1,-1,973417,846491,-1,-1,-1,984606,453427,891342,-1,-1,264578,112307,-1,-1,-1,-1,-1,-1,-1,570706,-1,-1,455716,-1,282533,-1,-1,-1,776528,-1,-1,550765,614402,673274,248721,-1,407683,831662,-1,875083,-1,-1,328886,550210,919053,-1,-1,-1,971248,836834,-1,-1,509192,-1,-1,-1,933621,-1,268008,-1,-1,670035,863335,511596,-1,-1,340693,-1,163975,752494,-1,-1,260387,795067,-1,736796,-1,-1,-1,764539,-1,-1,836093,429006,922858,-1,-1,428443,849653,261102,-1,762647,579024,-1,157053,537669,830962,-1,-1,-1,-1,-1,318766,79431,-1,-1,-1,-1,772690,-1,750366,876421,-1,-1,-1,-1,-1,-1,-1,-1,525606,970172,-1,671729,-1,820478,814524,-1,914610,-1,292384,849965,-1,-1,335811,678414,-1,921066,713345,856847,-1,285632,-1,-1,-1,-1,398679,535903,-1,-1,567822,566739,265691,-1,701736,-1,-1,-1,732821,-1,-1,-1,-1,256066,140837,-1,-1,141062,791300,489804,115668,878637,-1,92893,407773,-1,482149,-1,-1,572193,-1,-1,-1,-1,-1,957449,-1,-1,-1,209028,-1,-1,-1,-1,-1,830855,-1,-1,-1,-1,-1,426470,-1,359624,-1,903292,784235,605684,-1,568280,229530,465975,131814,-1,788283,-1,-1,294921,381510,-1,-1,-1,947615,-1,-1,-1,-1,-1,-1,-1,339091,-1,-1,54530,451020,-1,163220,-1,150236,-1,-1,-1,-1,517723,440940,-1,-1,285124,826457,179676,369372,-1,296525,-1,305489,-1,-1,-1,924599,-1,-1,-1,-1,488468,-1,350402,-1,-1,-1,136250,-1,-1,141557,-1,502570,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,457087,-1,-1,713961,117035,-1,208886,-1,-1,-1,265810,-1,-1,867017,721027,561721,-1,-1,-1,-1,-1,118094,-1,-1,968289,316916,753306,-1,903817,-1,-1,-1,406206,952115,-1,295801,86295,472324,-1,757534,-1,-1,-1,724640,630657,25386,-1,767086,768726,-1,364240,62854,547538,-1,-1,766096,-1,-1,627595,-1,-1,-1,126988,426844,752554,-1,-1,582427,-1,-1,130083,635448,-1,-1,-1,931690,55138,-1,106996,422050,75821,-1,372027,473842,972239,-1,-1,-1,980180,-1,640456,-1,488506,803661,150520,491126,-1,-1,-1,505596,887857,371148,-1,-1,436828,-1,-1,-1,-1,133697,-1,677983,-1,-1,-1,233574,-1,-1,28637,499517,15881,473065,106030,-1,856743,-1,-1,867077,472160,-1,17950,271296,169313,194401,-1,-1,-1,937473,328324,-1,-1,118518,79817,-1,904077,560024,392268,-1,29018,454781,-1,-1,188053,-1,226240,366828,962095,541967,757871,-1,926531,30409,944537,-1,296249,-1,975912,-1,204605,-1,905847,-1,-1,740377,-1,-1,753783,806517,887202,-1,301574,-1,844474,234622,969254,187669,164917,862131,763701,-1,826887,-1,715787,250448,581092,-1,-1,541060,-1,-1,-1,-1,-1,-1,-1,-1,568053,309376,-1,-1,-1,-1,925915,133973,292550,935889,-1,544721,-1,6989,-1,747683,-1,-1,-1,656081,-1,958352,19057,-1,-1,-1,-1,-1,515983,-1,207426,29398,741879,752734,-1,-1,222239,-1,490486,-1,974455,645958,837750,809372,-1,-1,-1,-1,637982,348522,769629,427584,541463,24341,933568,646468,218096,-1,466962,-1,-1,494178,-1,-1,92935,370112,122216,786173,313560,42765,141061,656265,723942,128314,-1,599831,-1,953519,207124,-1,-1,-1,718950,935804,249731,875691,-1,249334,-1,-1,762868,941136,245672,316909,83372,-1,418262,-1,479886,252104,-1,513778,271486,969769,-1,85848,763292,32024,745167,-1,-1,-1,-1,664392,-1,258190,362884,961748,-1,18105,271474,23961,722297,58097,-1,525991,-1,-1,552084,-1,139316,-1,240728,-1,-1,-1,-1,127944,203686,602089,312656,-1,-1,-1,71965,420629,869005,12695,131337,-1,-1,-1,-1,-1,-1,-1,984300,-1,418631,499935,179023,-1,-1,-1,303082,-1,-1,-1,-1,753172,661084,804184,-1,529964,312446,-1,347965,-1,829114,-1,299786,-1,771804,209056,868226,411652,289028,189614,603112,302504,872330,867784,-1,-1,-1,753760,-1,556900,557566,395552,-1,198810,-1,795328,79402,400494,570575,288714,286553,706887,-1,93690,-1,-1,310270,16203,-1,-1,-1,-1,-1,273409,152132,-1,-1,195055,2629,224663,-1,84692,265369,342080,-1,810514,-1,637134,912252,900688,817254,828946,921740,-1,-1,410418,-1,-1,-1,925984,441330,243392,138764,-1,322113,-1,277434,-1,-1,-1,-1,-1,337302,376177,-1,-1,-1,-1,208330,-1,-1,238585,-1,-1,95645,-1,-1,-1,491400,178352,-1,746717,-1,-1,740008,-1,195522,-1,-1,-1,-1,-1,587435,-1,-1,374981,-1,-1,-1,151384,11376,626640,-1,829884,-1,-1,-1,966516,792881,199577,183210,-1,-1,-1,-1,-1,-1,152996,-1,40748,-1,-1,215990,-1,-1,-1,-1,210552,795175,818114,460768,-1,-1,648209,883770,-1,97606,-1,-1,981210,406616,-1,27668,-1,-1,717135,-1,608840,18963,561585,798386,923653,980216,-1,503812,-1,567782,676078,332157,625219,77648,-1,-1,-1,-1,706526,-1,390739,-1,236457,275111,-1,-1,574618,853287,-1,197495,-1,927240,293493,274066,-1,851755,847209,963884,-1,800593,788035,125373,-1,-1,202772,781716,270970,-1,-1,-1,-1,602290,50452,-1,750433,-1,-1,857271,287703,864242,71419,-1,112047,-1,-1,931734,-1,457176,-1,-1,217864,-1,372718,-1,26861,-1,-1,672748,5211,183357,-1,367675,694693,424457,607042,-1,195975,88523,-1,642310,-1,652120,-1,314684,524496,941247,-1,-1,896528,368757,43239,354322,-1,-1,-1,267061,-1,3998,977964,936613,-1,207226,735673,186813,490448,570362,-1,345076,179909,-1,774838,-1,277805,-1,-1,14717,-1,210303,446418,467829,783596,-1,-1,349589,-1,-1,-1,-1,248350,-1,-1,891999,580466,988697,-1,-1,-1,-1,625074,361853,-1,111734,-1,-1,915944,858662,-1,-1,-1,880769,582452,-1,592857,848170,-1,649066,-1,739735,570717,677182,-1,338539,733083,-1,-1,406991,294928,-1,-1,61429,-1,-1,892996,-1,117029,-1,-1,627209,79068,-1,118857,382202,-1,256694,226353,4261,-1,490100,302111,310145,-1,458088,397887,157772,-1,122289,-1,823614,462857,395152,-1,510303,640500,-1,-1,-1,462740,539244,484283,-1,4875,897614,-1,-1,-1,-1,869585,-1,770644,97519,-1,950558,537950,300079,720553,861828,616710,-1,430340,90889,-1,-1,889084,-1,274023,-1,-1,583913,497827,319616,-1,569029,-1,-1,-1,42304,689497,-1,202998,888048,-1,-1,89199,572113,880478,527969,-1,-1,-1,209469,-1,-1,413017,-1,623702,-1,-1,2829,-1,-1,45327,989148,-1,-1,-1,117870,451765,-1,110597,-1,888557,-1,969249,322407,-1,265340,-1,858933,233378,119831,-1,869391,-1,-1,726782,681777,-1,905580,893500,212017,-1,818323,-1,440715,634855,479318,776986,709005,-1,180344,-1,348243,-1,-1,-1,967204,551055,420204,44190,-1,273912,-1,642942,722190,224856,89751,964366,-1,-1,815160,395071,-1,-1,67151,287131,368440,443352,-1,602183,-1,498504,-1,490079,-1,279688,-1,647578,833096,-1,521224,-1,103351,-1,298353,12317,364334,-1,429534,-1,558740,302593,-1,-1,613358,-1,-1,379886,789647,-1,-1,-1,-1,23378,789614,979992,-1,-1,-1,938833,-1,-1,-1,440553,-1,-1,862192,-1,550646,283106,462429,-1,612881,-1,280707,-1,207996,838469,13690,-1,-1,-1,719274,909251,507112,-1,-1,399613,-1,-1,-1,383113,-1,879325,525580,-1,951059,250179,-1,-1,465226,-1,-1,809892,-1,922673,-1,-1,-1,569885,72115,509868,-1,8435,-1,394902,273939,925479,845237,-1,-1,967517,293207,-1,-1,30761,212646,301480,-1,564875,655173,-1,303814,532513,613009,92341,-1,-1,-1,424586,-1,6623,-1,90429,225995,442220,442916,712704,917006,440019,-1,672460,-1,784199,33758,787082,595870,451151,450431,-1,-1,680458,-1,972431,622106,18355,-1,-1,-1,-1,316523,-1,258603,166848,-1,-1,304638,-1,838093,-1,941608,618951,383654,-1,307503,-1,-1,702629,999430,282020,-1,400585,501343,-1,537353,943560,-1,-1,-1,-1,911685,444945,-1,-1,357829,966502,333889,-1,-1,817000,443645,-1,849007,-1,-1,-1,-1,743702,-1,-1,-1,623234,-1,-1,890644,-1,-1,259147,255242,412808,308313,522869,467745,152473,-1,-1,323698,-1,-1,410867,-1,188516,-1,370946,-1,646255,320772,-1,826188,-1,199511,680597,-1,137285,-1,133009,-1,-1,-1,955090,-1,-1,-1,-1,756939,-1,-1,-1,228080,-1,289791,-1,73782,-1,-1,538472,-1,59303,-1,-1,-1,-1,290572,265160,-1,923564,-1,59901,-1,-1,-1,691462,878816,591091,-1,98348,-1,714439,617263,-1,-1,931559,-1,364360,-1,92380,-1,-1,-1,676985,-1,-1,518820,-1,-1,-1,562887,741117,-1,711150,-1,-1,-1,-1,837135,80957,367531,-1,-1,940199,-1,-1,-1,148584,980017,700732,-1,853800,-1,862072,-1,-1,-1,-1,760859,-1,887374,71622,-1,-1,603057,-1,-1,619871,6290,659596,-1,-1,649199,-1,-1,495233,-1,-1,216992,657232,-1,-1,949579,-1,840875,372691,702511,225707,-1,279778,-1,536520,986969,586628,583244,-1,323716,949352,197340,-1,166273,722631,999938,-1,924264,-1,879847,-1,314852,805342,-1,569715,-1,72689,-1,432868,388035,6235,750644,951717,126255,801275,-1,171208,-1,-1,105529,330642,-1,-1,112212,-1,-1,983532,938816,-1,-1,-1,832654,142423,-1,84536,-1,633464,-1,-1,53444,-1,-1,907896,-1,437644,-1,414344,640869,-1,-1,1550,116025,325710,-1,-1,862198,-1,-1,338427,100938,-1,294537,-1,268981,213937,-1,-1,-1,-1,315557,-1,-1,-1,545886,-1,-1,-1,-1,-1,65770,-1,-1,-1,-1,-1,-1,-1,549035,-1,680812,169840,569653,-1,961148,69924,-1,725103,163452,267165,-1,446593,-1,23321,-1,392332,-1,-1,-1,-1,539211,783844,898959,217229,300768,-1,51916,-1,-1,816441,799772,-1,-1,213533,737122,342404,692734,-1,-1,-1,653470,860289,-1,744319,-1,-1,-1,-1,872404,752079,-1,-1,-1,959263,-1,-1,-1,976813,-1,778209,-1,998532,-1,311419,-1,416422,-1,-1,124774,423847,-1,318001,-1,-1,132415,-1,-1,744284,478424,257888,-1,-1,887246,979548,-1,-1,-1,819405,-1,818070,273167,971948,-1,803897,919964,652332,1958,643252,702346,-1,-1,-1,-1,-1,651435,-1,-1,557900,905152,633324,518496,-1,347808,-1,-1,-1,-1,-1,803752,-1,-1,379828,-1,187258,251814,-1,-1,-1,339547,699869,-1,-1,717655,-1,-1,-1,-1,-1,746570,22178,-1,99789,513525,-1,93796,409039,768524,943566,-1,-1,295511,-1,-1,-1,-1,659184,-1,198066,96191,656993,-1,-1,-1,-1,-1,914243,582215,-1,605808,501341,740848,-1,742362,-1,-1,173897,-1,264097,495998,-1,-1,903052,940223,190423,-1,330168,-1,-1,600842,-1,-1,98596,-1,501825,-1,-1,-1,552291,-1,113720,-1,-1,-1,708789,-1,291101,214345,-1,-1,-1,-1,-1,883799,657585,1251,-1,-1,-1,936530,952420,-1,-1,-1,-1,581087,396465,767248,211043,827674,-1,-1,-1,-1,236146,-1,279877,226913,50092,-1,797657,69264,967484,449563,-1,810542,-1,-1,290839,617476,59947,-1,830020,-1,-1,371646,-1,28429,194567,-1,-1,311527,-1,-1,956971,252580,-1,-1,-1,45006,-1,-1,-1,-1,-1,243192,-1,523385,-1,520806,-1,364110,794532,7535,-1,272533,861789,-1,-1,418757,-1,-1,772395,147170,54778,-1,-1,-1,-1,-1,777431,7504,-1,-1,-1,853601,820524,-1,-1,-1,-1,451893,-1,-1,-1,-1,-1,-1,697227,-1,-1,355518,159474,-1,144558,-1,-1,-1,-1,-1,579764,-1,968860,721235,82660,-1,278308,89407,-1,-1,-1,597140,-1,-1,-1,-1,221388,755934,-1,-1,985192,-1,-1,147627,-1,632259,106197,147211,382638,-1,751325,-1,524307,-1,345018,146381,-1,697136,918345,219529,-1,634798,-1,88950,594043,820373,86360,-1,-1,-1,-1,833987,-1,-1,-1,320485,167565,529099,291355,464742,-1,249915,-1,-1,937164,-1,-1,-1,857843,-1,-1,804996,902908,-1,-1,173566,-1,-1,253643,845952,-1,-1,419574,-1,-1,-1,-1,733306,145773,570922,-1,-1,857364,56129,518795,20332,185732,-1,528524,-1,186200,-1,849113,578703,964731,-1,-1,317198,-1,-1,-1,-1,-1,707775,981477,-1,-1,562207,-1,-1,-1,-1,-1,-1,708800,-1,-1,-1,166274,925474,-1,-1,579003,-1,470682,-1,581018,-1,-1,-1,-1,604538,-1,984232,445208,4749,628460,-1,61264,-1,74554,928260,-1,-1,-1,-1,863851,-1,-1,265233,695454,180801,-1,-1,-1,613029,756772,826847,-1,-1,-1,786987,557413,-1,597351,-1,682434,324041,400813,496163,-1,-1,543768,-1,-1,-1,-1,698693,-1,-1,-1,495982,899335,948106,-1,-1,71990,-1,686274,927205,891105,676930,265770,173530,575509,212767,-1,-1,-1,321056,-1,29376,185980,141842,-1,-1,-1,-1,128488,-1,-1,418825,-1,483809,682065,26629,-1,220135,-1,-1,-1,120097,765213,617102,250611,-1,-1,534474,-1,334865,894901,635801,-1,-1,-1,360709,468120,-1,79883,73753,-1,-1,296815,634329,-1,298840,-1,-1,-1,837154,243495,-1,-1,548194,-1,-1,317508,-1,-1,-1,677773,915128,-1,-1,16763,-1,-1,169151,548331,-1,56631,917594,-1,-1,-1,-1,774268,-1,254216,-1,294976,-1,849409,-1,414954,-1,-1,-1,505613,-1,864075,643251,-1,192605,125494,770170,-1,31831,278452,-1,-1,485977,-1,-1,595127,631668,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,110055,-1,51784,-1,776330,-1,-1,364742,-1,814898,-1,130875,822115,-1,-1,964915,220207,-1,455109,358380,832787,-1,-1,-1,836107,429359,637917,-1,-1,852840,-1,-1,-1,-1,775893,-1,-1,-1,-1,-1,498782,361710,57222,-1,-1,413667,-1,543044,937377,657138,925622,-1,-1,-1,266962,523657,-1,666258,-1,214362,-1,163777,-1,43468,-1,-1,521411,-1,-1,145758,-1,-1,215542,956984,237823,-1,-1,-1,-1,-1,-1,580377,-1,916127,-1,695856,-1,216017,707708,-1,518248,13904,690075,-1,-1,259166,703945,-1,897958,-1,-1,-1,235203,-1,-1,-1,982749,879424,-1,285356,-1,-1,-1,-1,-1,218410,-1,-1,-1,176293,-1,857978,-1,-1,-1,493563,944711,-1,116765,745838,566640,-1,-1,925072,-1,-1,514401,-1,221132,-1,160047,180109,-1,-1,387950,-1,805782,459174,764282,-1,-1,-1,119524,-1,85690,-1,943704,-1,-1,251380,-1,-1,686000,-1,-1,541376,-1,340775,-1,-1,997175,236282,307530,-1,119724,386443,-1,458796,-1,-1,-1,958644,-1,-1,842534,-1,415041,-1,206368,403767,108164,765018,-1,727809,-1,-1,909451,-1,-1,195833,-1,12394,-1,-1,326455,-1,294350,-1,-1,907043,42380,-1,726971,-1,-1,848695,567198,-1,676409,861073,109278,-1,195254,-1,39006,254641,225710,-1,-1,748329,159958,834832,975411,248360,-1,-1,213794,-1,952249,831777,580722,-1,551073,437248,890952,-1,-1,620067,814520,111360,-1,73497,558942,-1,477258,-1,-1,-1,754237,-1,356339,-1,-1,-1,155205,450577,585574,188508,742125,-1,602267,-1,938497,271124,-1,644126,802323,424244,-1,932939,5962,125347,-1,-1,31792,-1,-1,-1,572297,328298,658990,795523,-1,608962,-1,-1,-1,-1,588205,-1,-1,270836,-1,-1,58100,860857,-1,-1,-1,-1,593996,-1,412673,798341,919784,-1,93261,575852,-1,674148,921712,84975,-1,727374,-1,478177,892956,-1,635967,543464,-1,611408,204629,-1,-1,-1,-1,354586,835636,-1,6107,-1,162084,-1,-1,-1,491491,617597,311970,-1,-1,425458,572733,967674,751436,-1,918679,174313,-1,113950,-1,-1,-1,-1,-1,-1,678773,976064,-1,63091,786921,-1,-1,469742,-1,886020,-1,-1,113122,611308,-1,-1,469685,-1,372205,770941,-1,-1,674688,-1,-1,-1,-1,-1,847067,105403,737627,12848,-1,71063,539512,934241,331337,-1,444058,553447,118570,-1,871566,-1,29887,286300,-1,-1,-1,784634,299998,-1,282140,-1,-1,-1,165948,374503,850863,337130,-1,896405,568102,-1,517046,-1,-1,-1,-1,173311,-1,866301,961008,-1,-1,259956,968742,276425,991893,692458,868640,12525,362437,66806,-1,800231,297976,573153,-1,894462,483296,-1,-1,-1,-1,-1,-1,95809,-1,136534,244265,-1,-1,848269,833476,692778,-1,-1,811626,-1,661265,499059,-1,842259,593335,387978,567802,-1,415093,52761,346785,-1,-1,-1,995974,145076,-1,-1,-1,-1,-1,-1,-1,-1,544194,-1,-1,-1,-1,-1,-1,-1,241679,338518,-1,-1,309048,-1,65590,-1,796419,365637,898770,-1,-1,-1,397052,99522,-1,-1,-1,962715,716166,486563,-1,-1,412664,-1,984331,316594,-1,-1,448093,299572,-1,-1,989898,324168,-1,-1,-1,-1,-1,348505,-1,955280,-1,792147,-1,-1,294684,630875,-1,566309,879492,-1,-1,701378,188330,548408,-1,567750,689491,852089,417578,905966,28484,229073,-1,772401,224390,-1,-1,78196,292071,607563,589227,68652,302433,-1,-1,632904,-1,-1,-1,238831,-1,454461,-1,-1,-1,424176,687674,859915,-1,700623,-1,-1,-1,-1,-1,94749,-1,634564,-1,-1,645499,373201,833543,703628,-1,-1,-1,811969,234223,-1,-1,911914,-1,-1,139716,-1,805082,476594,-1,431246,662619,-1,-1,-1,108262,35188,546411,-1,-1,-1,-1,208339,-1,-1,536516,833950,559245,-1,696786,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,882650,533655,-1,576371,560221,802611,-1,-1,-1,-1,-1,-1,560866,-1,576615,-1,912945,306853,-1,-1,97070,-1,-1,-1,809095,-1,600031,841810,775872,213974,-1,23882,-1,-1,62693,-1,197538,246355,40914,-1,998592,-1,692355,-1,142059,998898,-1,-1,-1,514461,443884,495352,392699,475399,907512,-1,628545,610124,472176,-1,165263,-1,524902,-1,610075,-1,-1,-1,790283,980107,990738,18542,458334,999241,440945,-1,859181,-1,538060,-1,737353,228723,-1,238419,75019,-1,-1,-1,445323,224368,-1,377068,-1,692913,-1,-1,989907,385236,475228,801006,745120,131586,312635,-1,783796,329978,927898,-1,674040,749244,-1,-1,364673,731307,811920,-1,-1,763021,850149,-1,277919,928394,-1,724245,-1,-1,577216,446945,-1,46178,891612,409815,-1,774351,-1,612912,350187,-1,-1,312923,-1,989250,-1,822839,-1,624651,635642,-1,-1,756605,-1,-1,955134,-1,-1,528057,-1,660341,-1,101321,-1,-1,-1,-1,861175,-1,-1,-1,877393,-1,610391,-1,507795,-1,-1,863565,-1,418770,-1,875339,10261,641214,331863,-1,885051,-1,279060,-1,731095,-1,-1,371446,940978,-1,10723,328861,506394,696930,943629,-1,-1,-1,947726,-1,212046,-1,-1,-1,-1,-1,-1,432685,-1,-1,-1,10031,-1,-1,-1,695728,294815,-1,495911,649304,260843,-1,-1,-1,-1,664358,451289,590905,259868,-1,-1,-1,-1,124400,277037,391771,-1,629983,172511,-1,733425,9532,289456,942590,282301,-1,-1,150735,907803,-1,809107,493210,-1,162429,464088,225715,740658,-1,37988,-1,-1,-1,-1,513767,-1,-1,-1,826876,131889,-1,821610,301388,408613,951623,607695,732230,27878,-1,-1,887894,-1,-1,300556,323732,206863,136406,-1,77433,33424,-1,-1,-1,-1,-1,447813,-1,645969,38414,-1,-1,-1,-1,-1,816042,875933,-1,403603,222128,-1,-1,926901,499148,-1,541254,-1,-1,834559,96929,683215,65332,-1,-1,-1,-1,-1,776842,768990,2744,360279,-1,-1,-1,-1,28222,799396,142126,-1,-1,81981,911856,535843,-1,-1,253244,-1,-1,826266,-1,44830,737790,894434,-1,-1,453440,903444,991389,218871,608625,848106,-1,-1,452610,-1,666858,-1,396327,48747,799584,529388,423960,-1,91754,930530,-1,-1,127771,789088,-1,517304,486327,-1,717952,915544,-1,-1,-1,577945,-1,-1,-1,-1,-1,-1,-1,221749,342579,763094,89317,413859,-1,-1,-1,717969,189463,650712,-1,-1,565049,-1,-1,107672,584591,-1,526655,-1,623560,265695,-1,-1,-1,127970,-1,-1,166300,446204,293148,-1,685110,-1,-1,-1,701073,223883,630148,-1,-1,249889,129393,452609,621156,-1,816920,-1,185444,836923,722364,702170,932947,-1,484819,413212,-1,472087,-1,-1,386756,243958,614684,861810,-1,841641,-1,201251,234023,-1,-1,-1,-1,-1,-1,75150,680546,877344,-1,34778,498327,854930,-1,735782,54392,494098,145121,592216,-1,419469,800542,778277,-1,178035,43225,-1,-1,426768,185297,-1,-1,817095,-1,410429,130902,868149,-1,358401,-1,-1,572059,-1,358725,-1,4098,-1,-1,959330,-1,-1,337525,392075,-1,-1,127669,978887,335635,-1,709307,-1,970082,705168,-1,-1,-1,415725,364111,-1,347172,-1,292092,-1,518511,-1,332672,936343,253743,891358,-1,428763,937878,-1,759569,-1,-1,446442,445722,-1,28500,-1,444224,-1,-1,-1,142892,-1,-1,283700,930634,524392,-1,588818,115872,-1,571156,5263,-1,287821,-1,-1,-1,-1,-1,72982,883343,-1,-1,203274,749806,-1,-1,37337,-1,26659,-1,823599,517784,392279,970108,206573,-1,-1,-1,174010,780185,-1,279767,-1,213175,-1,327629,952044,-1,733483,292179,-1,732890,-1,540891,-1,-1,-1,612720,-1,121763,523089,-1,634952,207350,-1,625688,238820,715491,-1,502095,903540,97788,408601,335688,-1,375104,-1,41315,459918,-1,-1,615341,142731,412957,-1,31051,327215,-1,-1,617936,143144,354252,-1,653070,892694,191189,-1,-1,-1,232061,886019,-1,-1,245577,604702,-1,300317,-1,343391,258553,699611,347601,409045,337537,-1,-1,-1,565560,548711,-1,61185,-1,216524,160711,-1,-1,-1,975949,276665,-1,286877,-1,490962,-1,-1,146441,-1,350929,738994,892495,912197,498539,-1,457372,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,39709,-1,-1,-1,544347,-1,134539,-1,188028,709340,-1,-1,275498,-1,696606,-1,161343,790564,-1,-1,456823,-1,-1,-1,-1,-1,-1,-1,841987,-1,242888,-1,954285,-1,903467,-1,327175,99783,97908,-1,-1,-1,548058,-1,706097,588464,375477,-1,-1,-1,-1,-1,-1,983283,-1,-1,294088,-1,-1,875865,792815,-1,-1,-1,-1,990954,-1,305944,709170,-1,-1,-1,717448,181939,635840,231430,777635,-1,-1,-1,-1,-1,-1,769420,502774,-1,137703,-1,868537,703376,567166,-1,-1,903319,-1,343735,-1,480349,-1,-1,-1,-1,-1,701957,-1,-1,-1,916549,337954,-1,-1,-1,171273,-1,-1,617420,346274,-1,-1,-1,-1,-1,-1,643090,395832,928793,-1,-1,322628,-1,-1,-1,-1,-1,646873,641093,99867,996464,947412,-1,-1,382268,-1,-1,-1,-1,-1,695636,621569,-1,-1,387954,-1,715245,672307,13977,687090,590230,884527,-1,-1,-1,-1,-1,706075,-1,220926,-1,859956,807756,-1,-1,75696,-1,-1,-1,-1,878754,667368,789840,-1,-1,228428,-1,-1,-1,952086,-1,313237,-1,499483,971623,-1,-1,350736,157371,-1,1801,853432,-1,814187,-1,559527,742096,-1,595461,952775,-1,-1,-1,847809,-1,559838,-1,788805,512710,620364,-1,358436,541831,-1,-1,570143,435259,522498,480904,-1,161621,214333,-1,-1,355691,-1,729380,-1,-1,251591,96001,-1,-1,-1,-1,-1,861418,-1,959576,543264,434510,-1,109032,-1,-1,-1,-1,378980,-1,-1,-1,829767,680447,-1,305034,-1,-1,699465,249664,449850,-1,180863,-1,-1,749628,-1,64121,761252,-1,931368,-1,863809,116696,63189,-1,448241,-1,725458,-1,-1,612450,236634,129875,150237,303695,826655,200215,263778,336387,75071,160124,-1,870920,429775,-1,-1,535820,-1,-1,215774,512392,368710,-1,675165,-1,408181,-1,-1,-1,-1,-1,840662,-1,-1,250696,508940,-1,797950,797275,-1,91198,240722,-1,-1,-1,-1,-1,-1,992981,-1,931085,-1,451946,-1,861637,-1,-1,-1,305454,-1,764328,-1,153795,-1,-1,-1,-1,-1,-1,-1,-1,1280,-1,738095,-1,536836,-1,-1,-1,529048,-1,-1,521557,-1,822978,-1,214465,-1,240813,-1,-1,-1,-1,-1,363494,38042,-1,308588,310924,-1,48311,-1,-1,-1,-1,674718,844439,-1,-1,-1,83246,883434,-1,-1,-1,-1,-1,991479,-1,383790,610317,486842,281619,-1,165405,-1,272989,864361,-1,713686,-1,-1,50870,895880,-1,257151,-1,339388,-1,4075,918123,-1,-1,-1,-1,524971,-1,-1,-1,422877,-1,555675,-1,939404,-1,944657,-1,-1,534701,160784,-1,355870,235869,-1,-1,91375,613195,161950,-1,-1,729930,971435,644552,-1,823248,-1,513635,-1,-1,-1,197826,-1,-1,716086,-1,-1,-1,519221,407762,847156,493875,819193,108045,517142,501026,241141,-1,-1,253925,-1,-1,-1,-1,666495,625983,199960,297748,-1,515010,-1,279303,390348,-1,-1,450691,-1,794588,-1,-1,152713,10052,371774,178573,362625,965224,799707,212674,-1,-1,435524,-1,-1,328339,-1,833814,-1,-1,808344,-1,-1,-1,-1,-1,-1,725463,378403,-1,-1,55780,-1,-1,-1,848803,-1,-1,-1,352929,-1,-1,612993,284926,-1,-1,-1,-1,-1,365480,734731,-1,850332,-1,-1,245446,-1,-1,-1,-1,-1,-1,-1,-1,869965,-1,316217,-1,914657,-1,-1,326853,275033,-1,-1,500935,-1,191012,-1,835933,-1,182246,832078,-1,-1,-1,-1,579415,-1,793083,-1,-1,947637,802102,-1,-1,-1,-1,927814,330882,406203,-1,856038,361745,930137,-1,126993,-1,296749,499488,952441,-1,-1,811199,-1,-1,303325,682766,357997,-1,280270,-1,-1,-1,267846,-1,-1,-1,-1,332935,-1,499033,-1,988516,211527,778233,403167,751149,-1,942902,726636,-1,-1,860630,618127,-1,-1,945835,230677,-1,553006,-1,-1,504149,603040,-1,540073,375575,166287,-1,-1,-1,-1,-1,96323,602465,322206,-1,-1,-1,-1,925400,626572,523176,389457,-1,-1,-1,-1,888104,470950,-1,-1,-1,-1,648263,616563,776482,-1,938051,-1,852758,-1,541191,384642,-1,-1,477683,159256,770599,14484,-1,25918,524352,443886,-1,307053,71525,-1,464525,-1,215806,909844,989440,-1,144099,-1,-1,-1,384213,839582,866167,-1,111056,945906,369605,-1,-1,871404,587240,-1,712444,-1,-1,-1,189621,38158,-1,968431,-1,324681,-1,-1,919550,-1,968838,784689,-1,-1,719324,68717,-1,-1,829760,481793,-1,648276,-1,305956,664778,-1,380592,-1,831618,400931,604810,-1,755142,-1,965307,882652,-1,-1,295279,205772,-1,-1,883427,-1,543335,975585,-1,32609,-1,-1,-1,282029,406116,37656,-1,-1,345967,42609,194954,-1,663708,571197,564540,657882,-1,286476,770394,-1,-1,-1,487370,336722,288842,384580,-1,794105,-1,750160,517126,78109,-1,-1,-1,887216,878914,381518,-1,-1,-1,-1,-1,-1,931753,270911,657997,-1,-1,769872,-1,-1,280178,749571,-1,-1,888846,-1,-1,521708,136347,-1,54662,-1,488249,786394,-1,582216,332014,-1,275919,-1,-1,219362,-1,-1,-1,827835,-1,410717,660839,-1,-1,-1,348809,480099,-1,-1,-1,-1,-1,-1,-1,-1,694553,396459,-1,-1,-1,340431,474045,183948,-1,-1,-1,-1,-1,-1,-1,351304,219626,606736,-1,-1,816449,-1,938091,968713,-1,58663,-1,-1,4513,-1,968720,752847,443693,-1,-1,821853,-1,960166,922591,-1,63461,134221,645173,523642,-1,-1,-1,-1,-1,478401,-1,-1,683197,-1,388511,-1,-1,423013,-1,868486,282137,828821,-1,807075,189971,620850,-1,611676,-1,469020,679380,-1,539446,812962,-1,-1,-1,-1,145398,912587,-1,783185,-1,-1,184843,972804,319030,162169,-1,680397,-1,833796,-1,811235,359331,-1,-1,-1,812352,896101,175522,-1,-1,-1,-1,575915,-1,-1,-1,539237,315636,622156,-1,-1,-1,954170,-1,-1,-1,-1,-1,475306,130581,52512,-1,-1,842743,-1,925437,-1,-1,-1,-1,-1,947739,396900,-1,-1,741409,-1,-1,-1,-1,131297,599691,-1,-1,-1,763472,-1,728471,224320,-1,-1,-1,-1,-1,-1,-1,315615,-1,-1,923694,-1,153716,174873,-1,-1,-1,373505,659473,82843,-1,-1,218887,264228,525149,-1,-1,319404,474995,421159,-1,593378,834466,-1,674527,-1,-1,968793,-1,-1,218189,607932,809180,733964,117831,245101,-1,652383,260188,73692,-1,794515,-1,361843,103403,48005,17708,-1,-1,774403,841166,-1,-1,-1,586875,-1,742357,-1,-1,736013,935985,-1,522337,-1,-1,-1,230315,345444,334191,762166,-1,991688,-1,-1,715244,-1,-1,-1,-1,830248,493078,-1,249333,279252,-1,-1,55334,929851,981702,-1,-1,-1,-1,306413,914291,588713,-1,-1,300085,-1,-1,-1,-1,-1,-1,-1,585618,317705,-1,463047,-1,816411,727699,-1,-1,-1,-1,-1,-1,881801,32589,-1,234478,-1,992518,-1,-1,675708,329674,-1,-1,959038,914582,437862,919627,-1,-1,671562,-1,-1,282362,-1,-1,232086,743240,719572,-1,-1,-1,-1,-1,958508,-1,-1,929570,-1,-1,513769,-1,-1,-1,279558,747467,524784,529314,397016,-1,-1,913279,-1,-1,203135,191578,965076,-1,125249,-1,487827,827780,251162,-1,547004,-1,12508,-1,-1,253732,324866,-1,698968,-1,-1,874936,-1,925593,476055,-1,44931,-1,121445,717664,-1,963787,-1,-1,286136,-1,-1,-1,67685,380549,782657,-1,569979,179718,-1,-1,-1,-1,-1,35214,-1,854182,606280,-1,424363,904728,-1,527779,-1,715600,-1,819834,-1,56502,-1,928971,-1,145532,581518,-1,-1,269656,459292,238297,576540,-1,-1,973168,-1,-1,-1,-1,121555,297157,966774,569995,-1,-1,-1,206150,871212,-1,-1,284235,37228,-1,-1,-1,-1,472747,761792,200709,899613,-1,-1,-1,-1,-1,-1,317273,-1,-1,5275,-1,541162,93199,514889,-1,443531,848174,-1,935231,-1,-1,206350,-1,-1,573314,584928,645015,781101,660764,551291,935984,667714,23685,-1,-1,-1,-1,97115,599799,-1,-1,-1,872797,778476,-1,-1,-1,317889,446664,-1,-1,-1,-1,-1,787725,800168,570874,-1,-1,985547,-1,548182,-1,-1,972037,-1,-1,643889,-1,-1,-1,75088,-1,-1,-1,875553,-1,811014,329531,-1,393836,-1,361509,-1,303508,-1,-1,-1,219824,538147,498970,-1,-1,-1,913119,-1,988825,705946,-1,813669,466492,566270,680649,-1,-1,-1,-1,-1,-1,937704,691745,-1,604292,-1,561952,-1,963933,133489,564273,866035,-1,-1,-1,-1,-1,-1,-1,667372,-1,558945,919782,-1,452753,-1,-1,686149,293500,539651,-1,-1,-1,162121,-1,-1,768396,-1,-1,-1,-1,688415,194173,585001,744615,810732,600962,-1,-1,307538,96540,-1,-1,827281,-1,-1,576732,-1,-1,-1,-1,-1,33772,-1,-1,214682,-1,231242,698022,-1,-1,-1,-1,940845,-1,451350,889223,-1,402183,148659,-1,172956,-1,-1,-1,138359,-1,185569,65097,92759,-1,-1,206572,321511,103298,257270,412901,752096,-1,437043,-1,-1,-1,17913,782017,999295,235002,823104,-1,426554,-1,-1,383410,-1,-1,-1,961025,-1,549935,912108,-1,-1,-1,96693,995656,-1,-1,-1,734191,-1,853550,988678,612011,-1,293304,-1,-1,430155,342090,-1,-1,-1,-1,811421,689470,-1,-1,995274,-1,-1,-1,-1,-1,-1,-1,-1,766321,-1,403584,-1,-1,-1,806206,402903,511572,36745,172221,664750,626536,-1,-1,823553,-1,-1,98268,24869,721408,-1,-1,946195,-1,998102,-1,167783,-1,-1,290277,-1,-1,-1,984486,-1,770792,-1,892099,246602,-1,999018,-1,-1,-1,302321,158567,987989,-1,196932,-1,105451,-1,-1,606842,5806,-1,348560,-1,943608,625687,-1,892766,-1,-1,39884,810662,314236,-1,-1,661428,-1,267574,-1,-1,-1,-1,-1,-1,-1,-1,-1,631385,-1,-1,326861,459734,-1,-1,-1,159371,-1,433979,-1,35586,174473,107893,612143,-1,-1,465243,97810,68789,-1,-1,470693,-1,240955,508773,549951,504476,-1,536630,895848,-1,109653,-1,-1,9791,510557,-1,-1,-1,910140,-1,-1,-1,92498,604675,-1,-1,-1,910506,773996,-1,-1,-1,919742,-1,522451,-1,554491,911886,372569,38917,848306,-1,-1,-1,583109,-1,-1,-1,-1,-1,-1,-1,-1,325863,460383,869883,97920,835144,-1,939504,-1,-1,576863,-1,264061,978143,-1,-1,-1,-1,-1,369042,-1,-1,-1,368262,219739,442763,-1,-1,378567,400377,286169,277963,-1,-1,-1,-1,-1,300755,565473,349751,-1,-1,228854,-1,-1,-1,739357,536848,-1,398625,-1,-1,-1,882178,922131,-1,-1,171570,451120,-1,-1,-1,-1,-1,470720,285382,-1,-1,929008,776339,912670,-1,302448,583349,-1,-1,-1,-1,408209,239648,-1,-1,718842,611995,52811,861523,435889,-1,-1,-1,817787,-1,-1,-1,-1,-1,114376,-1,-1,-1,-1,-1,-1,254620,491200,-1,-1,-1,-1,76091,37781,-1,-1,342097,356953,817078,-1,538389,-1,716462,366754,695796,-1,-1,-1,-1,614491,-1,-1,-1,548987,-1,-1,82175,-1,-1,512639,68417,903890,431525,43080,-1,547585,-1,852229,409870,-1,-1,54435,-1,-1,-1,654374,90913,-1,-1,304220,698588,-1,991733,-1,-1,-1,863745,-1,-1,-1,228690,-1,579710,-1,-1,302692,693710,-1,-1,-1,93214,108796,-1,-1,-1,865682,987597,883825,416566,304313,-1,-1,-1,522875,-1,-1,138290,841772,3843,144159,575202,-1,328641,778042,-1,170046,-1,106795,44915,969917,-1,412526,-1,459361,-1,-1,-1,-1,328539,347159,243966,734983,909833,-1,389965,-1,-1,-1,-1,395046,946215,-1,-1,705199,-1,-1,-1,-1,183138,888741,502426,-1,163436,-1,42854,222350,976748,-1,350268,-1,-1,-1,-1,514445,-1,-1,878601,-1,212333,-1,-1,-1,110708,90127,-1,176556,-1,-1,-1,606420,-1,234799,109249,341250,-1,-1,-1,-1,118427,35874,922615,226563,897869,70886,867151,-1,-1,249312,442691,443795,971593,700335,238362,-1,-1,927957,-1,711189,-1,972815,952688,107875,912933,-1,404776,374159,-1,-1,-1,-1,-1,-1,633009,608939,910677,972802,225958,291274,348820,666345,957121,-1,233076,136997,-1,-1,879892,-1,127643,-1,-1,927632,765589,-1,-1,588762,-1,565557,-1,358113,491052,407397,593138,-1,26834,874913,-1,349313,-1,-1,-1,-1,-1,-1,-1,964807,617223,-1,-1,-1,189846,589710,620607,479763,-1,219344,-1,505479,-1,497559,-1,-1,534341,-1,-1,-1,828975,-1,-1,32219,235367,-1,-1,281130,-1,53516,-1,341901,-1,613810,-1,3172,708225,-1,-1,663931,523615,569183,-1,498511,-1,331963,505649,-1,-1,553642,775149,143159,-1,-1,336592,658734,-1,-1,392388,66636,216739,-1,-1,-1,180236,-1,396332,16536,-1,-1,587101,892210,291361,897600,-1,975409,846175,895493,-1,456023,-1,651060,64342,147149,178548,-1,-1,-1,-1,-1,585826,-1,623465,-1,-1,18957,764670,597162,-1,-1,-1,552068,555969,-1,212616,422840,-1,-1,299789,821063,-1,62302,-1,-1,-1,-1,741840,-1,-1,674187,209814,35268,-1,381348,474314,-1,311479,-1,-1,-1,995209,-1,-1,254413,123284,32886,-1,160238,970324,778173,-1,262863,520685,-1,-1,-1,-1,941586,-1,-1,355753,-1,-1,882722,-1,-1,804940,124705,-1,-1,20563,720211,-1,-1,-1,671304,725123,18598,401817,107401,322282,301472,-1,-1,-1,-1,192592,-1,874554,-1,504213,365400,-1,-1,-1,838288,366705,216749,-1,-1,-1,788067,-1,-1,-1,-1,295215,651092,-1,996194,687912,-1,317340,29035,-1,-1,213615,-1,16273,-1,639178,-1,-1,148120,26899,-1,-1,249179,-1,687000,796439,-1,975390,-1,-1,299069,-1,-1,172462,740845,-1,820770,-1,-1,-1,288257,390717,637316,634299,383810,-1,-1,616815,-1,493761,-1,359548,-1,192242,-1,599303,-1,-1,900600,912897,-1,299041,-1,949889,233526,-1,800862,-1,835500,-1,597563,319600,359752,-1,-1,-1,60805,-1,-1,3542,-1,624820,-1,135151,-1,-1,-1,-1,653928,608928,-1,508313,76737,140529,852821,-1,900756,669815,-1,132643,-1,280193,-1,696688,-1,33960,420328,902234,-1,-1,371703,422894,615625,90868,446617,8401,-1,758908,993953,-1,-1,91069,348924,-1,-1,-1,-1,878164,-1,-1,859846,-1,-1,-1,-1,51839,651942,-1,771941,-1,-1,-1,-1,252052,-1,-1,-1,-1,-1,85196,-1,690081,666275,-1,530687,-1,458269,-1,682289,-1,-1,372524,641664,-1,481147,-1,463919,-1,-1,407824,-1,-1,674361,-1,-1,-1,-1,-1,511639,389172,55849,277829,224662,-1,-1,-1,-1,-1,-1,-1,-1,780257,-1,-1,755341,-1,296394,-1,661569,990799,-1,-1,778898,187150,635636,883674,925675,304561,765413,485745,735945,-1,848675,-1,113491,-1,220692,-1,-1,212825,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,475317,-1,871605,659581,775635,-1,156024,-1,-1,-1,-1,-1,-1,-1,-1,-1,579671,71836,-1,606258,-1,439451,512430,-1,-1,638599,36740,651220,522694,-1,57652,-1,-1,-1,-1,-1,395097,-1,443736,981104,356207,-1,263603,360292,380369,-1,255992,-1,-1,41737,620787,-1,-1,970322,-1,319205,38692,270499,930769,-1,-1,-1,696998,417724,-1,-1,227814,510577,-1,-1,719837,390868,983378,390835,289692,-1,502724,782931,925688,-1,-1,-1,478641,336473,590374,439768,461681,-1,-1,15161,504556,478526,915828,-1,6239,-1,-1,-1,451170,-1,58090,-1,142670,-1,-1,-1,-1,509708,966934,561032,-1,961421,247739,142584,617427,-1,-1,-1,522686,-1,87616,514977,523790,108599,-1,624865,-1,437261,-1,-1,-1,-1,258189,842488,-1,178508,-1,-1,-1,473543,-1,-1,78379,-1,-1,-1,118538,976368,-1,-1,-1,959017,963290,47597,-1,77585,587236,-1,-1,132571,-1,-1,91138,-1,-1,662302,-1,-1,968940,-1,-1,-1,230104,734539,-1,19332,157128,-1,-1,-1,957588,334714,432298,568032,421491,459461,-1,-1,-1,-1,-1,150634,-1,-1,158243,-1,-1,-1,-1,30076,-1,-1,-1,-1,835463,69837,-1,135037,120861,909201,381465,978860,-1,980284,115539,-1,547240,684522,-1,-1,645169,486934,-1,-1,-1,-1,-1,-1,-1,798055,-1,125026,-1,-1,-1,520465,-1,-1,719774,405018,626418,376372,-1,-1,-1,-1,271583,37171,-1,-1,68281,585842,-1,-1,443522,-1,-1,-1,-1,-1,57052,594479,-1,924767,-1,984674,515965,-1,496680,-1,632220,-1,-1,-1,-1,-1,799174,305201,671783,-1,-1,92490,-1,705474,339992,-1,-1,560760,527173,803049,-1,-1,521058,801850,585928,-1,862942,476489,-1,633852,-1,572014,-1,229367,-1,762692,-1,-1,35062,-1,472217,278668,634621,1121,486569,169314,-1,-1,-1,-1,-1,-1,120567,-1,-1,-1,-1,-1,-1,-1,-1,863283,820205,-1,-1,539842,-1,-1,950803,-1,204382,-1,687948,621094,-1,-1,-1,-1,-1,385891,132251,-1,-1,4596,-1,-1,-1,531034,-1,305490,853536,124835,-1,581637,381982,-1,-1,-1,-1,-1,-1,433107,-1,-1,983937,125838,-1,242591,-1,-1,518605,701934,415248,-1,-1,191159,523203,-1,-1,956305,289524,502071,127739,-1,-1,-1,-1,-1,-1,-1,-1,579953,-1,154357,957927,521349,-1,-1,586222,964545,-1,815073,-1,976830,-1,-1,-1,755376,281278,677472,580061,-1,-1,447205,816213,780549,-1,817138,-1,-1,329592,-1,474940,-1,-1,548424,224340,751707,610411,-1,-1,-1,-1,853527,406426,118028,151455,696526,138182,-1,-1,-1,644538,232445,22539,-1,204081,-1,403443,491970,-1,-1,-1,-1,415733,-1,642935,520545,-1,-1,-1,-1,68965,-1,430136,-1,-1,691156,-1,275479,832311,902893,-1,-1,-1,831998,699544,-1,-1,-1,198962,941143,643221,-1,-1,-1,-1,-1,-1,-1,-1,-1,567411,-1,-1,329984,-1,253233,738940,767552,-1,-1,-1,-1,755211,-1,972092,-1,230164,251843,-1,25224,-1,214901,790129,71418,-1,-1,245348,825937,-1,479987,772528,-1,685682,-1,-1,-1,-1,-1,-1,992461,-1,811901,-1,587406,850419,-1,167752,-1,189552,-1,-1,-1,-1,-1,-1,846442,-1,224217,-1,162815,-1,-1,552427,-1,-1,-1,659188,-1,-1,159633,976681,550650,-1,-1,914512,744829,-1,-1,-1,289436,387913,-1,8542,-1,226621,860554,-1,475170,-1,422766,903039,-1,-1,-1,-1,552057,443387,421881,-1,685889,-1,398434,691244,458913,795527,-1,231048,-1,-1,-1,-1,-1,-1,-1,26559,-1,-1,576341,-1,861602,-1,-1,-1,-1,-1,702650,719,-1,41843,336736,636966,-1,219593,-1,154805,-1,915718,825940,691785,-1,908652,-1,996560,-1,981740,-1,-1,-1,-1,630192,-1,684239,673239,198461,-1,498642,-1,-1,607484,175529,217479,-1,50097,-1,642742,28418,598949,-1,-1,-1,223262,197743,524017,854741,-1,-1,426350,-1,-1,404708,481190,422999,-1,563616,956858,856650,639725,-1,862268,-1,754442,489831,-1,-1,564990,-1,912885,443915,693391,-1,-1,3848,28594,-1,372803,-1,615421,-1,261382,747372,-1,-1,-1,-1,-1,-1,899665,-1,-1,502753,-1,-1,-1,-1,-1,824779,640393,476650,659741,167709,407149,976209,366578,-1,-1,-1,355141,851075,-1,121520,-1,991664,709298,-1,-1,-1,708120,504811,606318,-1,-1,765768,-1,209609,-1,699505,72760,949245,237372,640620,-1,-1,18149,-1,-1,642428,445701,-1,151565,-1,346927,-1,-1,471666,476345,-1,652981,-1,39032,-1,221393,-1,499184,-1,-1,447144,-1,-1,165270,-1,654986,-1,415025,-1,30528,-1,452575,782789,399663,-1,84978,-1,554558,-1,-1,-1,-1,822646,262984,577719,892737,459860,698501,-1,487962,-1,-1,-1,184913,-1,-1,373943,-1,-1,647084,915218,877655,444588,448611,839131,455741,947196,-1,75629,917593,776764,-1,383531,-1,-1,66147,-1,773758,491966,-1,453789,-1,116640,-1,519592,632456,325038,-1,933129,-1,-1,290496,20264,-1,325105,-1,251322,17089,937900,-1,-1,-1,222153,-1,-1,582788,-1,-1,502942,-1,486303,919818,825238,519186,306664,143898,715165,-1,-1,310549,-1,-1,593890,-1,146047,398615,761087,-1,417653,-1,330081,742129,704849,808513,622982,-1,-1,-1,-1,-1,-1,772200,-1,-1,-1,257647,-1,859454,-1,-1,168979,-1,830396,-1,-1,917802,764975,-1,-1,-1,17018,556013,378452,258237,-1,62569,661641,399363,-1,917405,-1,135875,-1,703389,481575,-1,909847,-1,72188,623563,71216,985556,43795,716965,-1,559713,-1,-1,529125,852744,-1,871381,682464,598662,158244,-1,385256,607506,-1,-1,876345,-1,-1,-1,-1,-1,977132,-1,272198,533097,571833,24129,-1,-1,-1,-1,-1,-1,774472,320802,549362,967834,-1,-1,692493,169051,-1,-1,658480,-1,-1,-1,-1,148207,-1,971544,373645,513292,613487,-1,818781,-1,-1,689034,605837,-1,-1,-1,27856,-1,215004,-1,-1,-1,446850,-1,904340,361834,-1,-1,-1,-1,216904,-1,188808,-1,-1,412003,925121,-1,328792,-1,-1,250494,-1,-1,-1,932842,-1,-1,-1,-1,-1,-1,-1,689283,-1,-1,-1,-1,890959,298252,-1,637095,-1,435498,464298,-1,-1,-1,557179,159564,-1,-1,233305,-1,-1,417730,559226,797111,-1,-1,-1,-1,-1,737896,-1,641982,-1,-1,589798,-1,-1,-1,-1,788058,-1,-1,-1,903500,30220,-1,311336,72454,-1,830490,778970,-1,713236,434399,-1,689927,-1,-1,457200,-1,-1,-1,861066,120375,-1,107761,-1,-1,-1,239565,843129,-1,-1,404047,951463,-1,-1,548931,109323,-1,-1,-1,-1,-1,-1,-1,21681,-1,644205,415599,520986,-1,933769,983941,-1,832270,634655,-1,-1,-1,-1,-1,923931,-1,-1,-1,-1,310989,-1,-1,698061,102701,-1,886058,968257,-1,-1,385389,491205,959110,-1,704940,975434,153191,493180,191727,-1,759504,346120,286363,52027,-1,332532,761601,776667,-1,-1,-1,-1,543772,486151,-1,449702,-1,-1,928424,-1,819323,-1,174703,306767,-1,38707,-1,648762,-1,-1,10382,101762,-1,-1,441165,-1,-1,-1,-1,-1,549537,-1,12875,-1,336738,381166,-1,669800,182738,-1,889445,-1,64555,745707,21082,-1,632025,-1,-1,-1,219334,661658,870120,475348,-1,46141,-1,-1,-1,-1,-1,236882,538705,-1,-1,-1,663161,-1,799467,918837,628172,-1,104230,384549,619094,-1,-1,788589,777078,-1,-1,747361,678568,366475,-1,400029,-1,-1,733885,210323,-1,-1,355343,660908,877089,446693,-1,-1,178552,542377,-1,252206,171709,285099,343267,625367,-1,-1,717119,-1,164594,225267,581589,-1,-1,168416,822844,-1,-1,722376,-1,102396,383237,-1,-1,940291,943198,64781,-1,814365,36352,-1,-1,-1,-1,-1,880528,933190,-1,397502,778141,943190,-1,219559,-1,-1,-1,-1,457021,546561,210053,-1,-1,916901,287047,492993,815859,676617,-1,354244,529819,-1,838322,-1,992167,726196,699215,-1,-1,605508,-1,-1,808578,-1,-1,316895,-1,226896,796979,146285,475960,961780,492847,534204,607130,-1,570579,734394,570253,-1,779390,940911,795241,546448,515333,-1,698719,-1,889816,-1,-1,-1,897427,60071,79854,534247,222524,-1,-1,437512,-1,286512,404375,-1,819677,501535,838689,520480,8681,-1,214205,928067,-1,-1,-1,-1,326432,-1,302447,-1,-1,571335,24856,-1,375761,-1,556513,-1,612670,-1,-1,194908,490371,264090,-1,-1,947959,952330,-1,-1,-1,41875,-1,-1,-1,-1,-1,-1,320473,-1,-1,-1,325771,891145,172878,919700,-1,-1,-1,-1,974339,-1,-1,-1,337538,-1,-1,-1,865741,366468,699770,231292,701695,375314,-1,-1,-1,484830,67896,928683,-1,763424,100814,989531,681834,861251,-1,-1,140019,410308,-1,691622,285052,542067,590726,477817,178338,-1,338777,-1,-1,120801,49619,542249,432767,-1,910663,291682,-1,-1,-1,-1,-1,40480,-1,259660,-1,98816,-1,291364,790312,539923,-1,-1,248418,-1,-1,-1,153662,409707,-1,163076,955689,634136,297650,-1,658597,-1,-1,962177,-1,120254,91390,-1,63280,771136,91557,-1,-1,-1,296381,110820,-1,-1,707747,87319,83326,946716,-1,-1,449126,676267,-1,-1,970000,-1,925883,-1,-1,301313,-1,-1,-1,131119,-1,-1,-1,-1,-1,806878,-1,450025,31843,40177,712759,-1,786580,136330,587754,-1,799228,791887,-1,361323,-1,-1,860812,-1,-1,-1,-1,427682,-1,-1,52102,1399,830313,692588,-1,-1,-1,760887,-1,-1,-1,-1,-1,388044,473851,925789,-1,-1,227560,-1,-1,41736,662506,855672,487434,955782,-1,667484,555301,-1,-1,664715,774013,491603,958167,-1,173525,-1,-1,-1,54745,113769,-1,411498,412988,-1,249016,849572,535837,-1,-1,-1,-1,494715,837044,406637,-1,881384,172548,-1,-1,901355,575342,419227,-1,-1,444278,-1,-1,-1,632017,-1,345642,-1,809593,336418,284673,-1,-1,820867,-1,795351,803698,87068,-1,826688,382721,936599,722141,705589,672566,-1,514180,-1,-1,28098,-1,-1,-1,-1,-1,155917,-1,151432,522488,872168,597088,486843,74635,-1,-1,640883,902791,387995,965975,-1,960400,-1,332917,-1,-1,-1,-1,-1,83819,309482,-1,862788,219089,260480,917894,-1,445820,579342,770388,-1,990677,-1,-1,358106,-1,-1,260361,495523,982938,-1,-1,753415,-1,-1,-1,-1,800344,-1,-1,538057,-1,495723,782423,-1,-1,-1,661548,728528,78790,-1,34365,26086,167369,-1,-1,-1,-1,-1,724874,-1,856017,-1,406622,-1,873944,-1,-1,926231,-1,150147,997103,361654,709209,-1,119506,9944,161324,445822,-1,-1,493928,769747,443754,541736,760631,569517,554396,-1,533019,-1,228010,341526,-1,-1,288699,-1,-1,-1,-1,6641,480095,-1,-1,-1,-1,842088,-1,-1,-1,-1,425191,457105,864510,587947,942971,-1,814650,185146,350110,562901,-1,-1,-1,-1,365285,657766,-1,-1,-1,-1,268634,297135,-1,918292,428973,-1,341126,197212,-1,321556,-1,761661,-1,676251,-1,486613,-1,383241,-1,116113,728077,584623,602814,853460,430181,324644,809560,385635,-1,-1,-1,627042,254826,-1,347387,665545,225955,989806,-1,131866,642448,101236,-1,186895,300869,-1,-1,-1,-1,718892,-1,695250,-1,632190,-1,-1,100116,651629,-1,958735,-1,830186,389380,654570,696524,-1,-1,524881,925494,584193,-1,849828,640269,382539,277003,727937,447298,121002,350475,864000,-1,-1,650232,276216,-1,-1,-1,922892,3857,494387,-1,304352,-1,415663,902652,-1,863725,57550,294225,-1,713460,748891,722801,668582,-1,-1,-1,-1,-1,410806,391914,-1,-1,410598,-1,636260,-1,-1,-1,360639,951642,171775,-1,-1,185090,-1,44656,-1,908693,772841,935525,669982,160293,-1,489910,863772,-1,661461,626520,320893,624046,624081,445470,-1,-1,-1,-1,-1,-1,-1,838675,246400,-1,-1,-1,-1,-1,-1,93683,750985,634083,217486,447368,-1,392312,-1,541717,237689,-1,-1,-1,-1,814624,-1,525499,-1,-1,904989,-1,382964,-1,816361,-1,-1,-1,850902,896505,-1,-1,499362,-1,-1,297916,119209,-1,485001,171402,-1,-1,-1,667340,816426,65797,145519,8046,706350,-1,308170,247897,919527,587168,-1,-1,979322,654490,328859,-1,-1,307521,278307,-1,411417,879503,-1,-1,879396,750709,226425,81874,199400,-1,-1,468858,-1,-1,408683,438839,-1,-1,-1,740970,-1,-1,556610,-1,252879,117268,-1,-1,-1,-1,435847,-1,444331,-1,-1,-1,946559,-1,240197,-1,-1,194658,-1,129333,-1,705050,-1,-1,919667,-1,770884,-1,997517,-1,357141,-1,496366,448365,129133,-1,665254,-1,215045,960064,10541,-1,885847,858252,-1,-1,817771,818816,304779,302295,802229,295561,-1,-1,46951,322468,-1,-1,-1,394361,725951,-1,39961,-1,429261,-1,-1,592601,146023,759669,-1,928694,110202,151525,781611,-1,44082,799131,903591,567258,-1,764423,-1,-1,758570,419458,-1,-1,849217,-1,460143,847329,-1,-1,230561,-1,-1,-1,-1,668305,-1,300484,144603,-1,-1,918842,-1,158320,268952,615149,-1,208662,589648,530971,-1,200099,19594,191761,-1,957518,735839,513766,457032,-1,754800,-1,-1,-1,-1,373903,383255,-1,161919,-1,693832,-1,-1,442266,180713,783834,806445,905241,596808,531485,-1,-1,847585,416865,-1,531887,-1,342591,-1,-1,-1,-1,-1,105701,-1,941943,797145,-1,-1,211149,-1,-1,484559,818113,558420,-1,-1,-1,-1,131136,-1,-1,-1,316840,556394,916617,-1,934308,101728,-1,781186,-1,234133,-1,-1,-1,-1,-1,-1,14653,-1,-1,-1,-1,-1,605526,-1,-1,-1,607335,-1,-1,-1,226105,-1,266529,-1,-1,158136,-1,-1,621055,52699,-1,446807,165971,791017,117979,843958,177389,-1,22209,909865,254726,85078,-1,-1,-1,-1,-1,548500,179621,396473,169710,-1,812013,-1,733001,394926,711070,878855,-1,-1,-1,446433,462271,393395,333976,-1,997773,-1,-1,-1,887082,145108,605728,974067,-1,-1,-1,615333,488166,885462,-1,498026,-1,-1,-1,-1,-1,388746,96295,167075,-1,441353,-1,171534,-1,-1,895828,-1,594551,-1,-1,496842,-1,-1,-1,-1,-1,-1,68303,844050,-1,605896,-1,-1,884281,624360,820179,-1,-1,-1,164544,338637,556986,-1,238107,540522,372178,-1,-1,96379,409467,-1,-1,909933,-1,294753,549668,-1,936835,-1,-1,-1,412318,-1,277668,502365,746157,795939,511994,-1,554505,-1,-1,703983,-1,148785,730265,-1,-1,-1,-1,474708,-1,750752,256068,548679,281043,491789,537317,-1,445247,-1,-1,969987,860266,-1,914492,670589,-1,315264,-1,400634,-1,-1,-1,-1,212041,808692,744187,672801,222854,754416,-1,623613,535252,-1,787609,749648,774143,-1,-1,862589,57642,737212,153387,671151,-1,-1,343009,-1,930859,533374,-1,676597,623764,554863,903896,603968,336042,-1,-1,-1,743722,-1,-1,-1,-1,472596,-1,-1,869969,188713,96316,-1,-1,263455,556901,292164,503452,881889,65813,980714,-1,224351,166665,-1,922057,714083,-1,-1,-1,-1,122123,164492,838662,930473,6432,986746,415038,357101,-1,702828,99461,844271,553,-1,-1,661418,-1,774405,-1,-1,-1,-1,-1,583083,334367,436367,48574,-1,62008,120869,956734,-1,-1,-1,-1,-1,843883,583972,92095,-1,979742,-1,-1,715252,-1,764133,-1,-1,-1,-1,824111,-1,333913,773576,704444,541079,254944,436425,921131,-1,329498,-1,-1,-1,410783,-1,936260,-1,-1,865832,562401,-1,-1,540753,370218,-1,202977,804223,743337,-1,-1,355890,77743,-1,416223,-1,975498,-1,-1,244209,-1,411443,-1,-1,-1,-1,-1,172285,215617,276133,544028,818519,723393,200763,839649,735401,477299,-1,221292,58227,-1,964945,-1,724613,-1,856015,-1,-1,673752,-1,-1,510620,651668,1059,402923,-1,-1,78203,-1,-1,132644,-1,-1,131626,-1,-1,-1,-1,41951,-1,467112,271512,834651,741662,25282,-1,-1,965532,-1,-1,662492,-1,-1,-1,736483,-1,572106,54286,894639,411293,-1,-1,979484,114597,955570,-1,-1,547953,-1,185530,704488,458592,-1,721945,338876,-1,-1,475276,892796,-1,-1,-1,681820,-1,-1,166481,-1,-1,-1,731852,-1,490807,731786,947056,-1,464247,-1,-1,602260,-1,-1,785070,701459,76813,268055,720186,-1,-1,4270,878667,-1,-1,97660,594780,588578,-1,-1,916814,839988,12902,560710,147760,407044,587853,-1,-1,767394,-1,235694,648864,-1,-1,-1,264029,760616,-1,-1,928864,-1,236970,244570,122921,271489,-1,-1,-1,661463,-1,293272,636840,-1,-1,170995,-1,971175,-1,198266,243770,559211,-1,340647,-1,-1,-1,119156,603330,-1,938548,378336,226362,954680,-1,-1,876592,534695,-1,-1,938793,587210,-1,829646,533237,744777,32745,756362,490011,-1,-1,-1,-1,583274,829749,322606,31134,-1,-1,-1,762518,-1,-1,-1,-1,75446,217828,-1,990300,-1,-1,-1,393667,-1,-1,-1,-1,-1,-1,-1,537922,-1,-1,622942,-1,584354,-1,512283,-1,-1,-1,-1,-1,4317,772132,-1,-1,67507,-1,233215,72054,-1,-1,710145,-1,-1,661858,-1,-1,-1,579760,361110,-1,709206,-1,-1,-1,-1,163010,-1,-1,541952,134720,197209,351993,511749,311040,-1,183494,629169,-1,85857,-1,-1,-1,978382,-1,330808,-1,98618,572244,531719,688388,-1,-1,-1,432740,845683,-1,-1,-1,247490,-1,899554,965698,604758,224811,180979,-1,-1,-1,-1,-1,534602,283851,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,404938,303583,448382,273106,402048,-1,745304,-1,553126,617880,-1,36216,-1,-1,-1,974474,-1,45314,-1,843612,599827,-1,51419,-1,856748,-1,233083,-1,991549,554739,-1,-1,-1,-1,-1,598731,-1,25476,168880,163627,-1,-1,503033,306628,745340,220092,956051,-1,-1,-1,119553,179917,-1,-1,901509,-1,311148,640715,20800,-1,-1,568996,669985,-1,-1,-1,630585,-1,686875,-1,154318,401359,-1,434315,741404,-1,-1,188797,-1,382727,760410,-1,-1,768058,-1,-1,214309,228704,679246,420771,681894,-1,-1,396960,60734,820272,904100,-1,865940,-1,994004,-1,109335,-1,654590,-1,994436,-1,946514,553381,706759,756372,-1,737930,-1,911718,766926,-1,-1,-1,-1,-1,503022,220497,614960,905923,162202,925637,-1,-1,-1,401253,126141,783360,-1,-1,-1,-1,119201,-1,625481,826496,919781,-1,200432,23494,873463,378068,-1,878720,-1,241104,487668,863652,-1,297406,-1,-1,190753,407488,-1,294730,-1,934938,-1,-1,616386,-1,620818,126024,342099,180952,518515,849253,619102,637450,-1,-1,63798,-1,-1,-1,-1,-1,-1,732892,245594,612051,-1,-1,430607,-1,-1,885448,-1,159026,-1,-1,-1,-1,-1,-1,-1,-1,-1,934440,626680,366327,-1,921484,160463,-1,-1,469009,813829,-1,969142,833416,81093,-1,-1,-1,946263,-1,-1,-1,393424,668869,952692,47754,42292,-1,-1,318417,464637,926476,-1,64041,904070,123727,833495,522496,33417,-1,151855,-1,375021,-1,-1,815257,894612,-1,-1,423626,232407,-1,76172,245219,562951,-1,873027,-1,-1,787916,-1,193730,329586,825011,-1,-1,105415,-1,615703,-1,-1,-1,-1,88886,49054,366800,829199,274000,316669,-1,-1,-1,604678,520076,-1,-1,-1,-1,201479,37323,757724,624677,-1,263022,-1,-1,-1,391423,-1,16963,-1,-1,887158,985527,941646,-1,595262,805027,384563,116183,-1,913975,906698,-1,137090,817993,428011,-1,-1,-1,52795,131343,383280,417394,-1,-1,279208,-1,811060,-1,-1,-1,-1,879831,402719,169663,301870,-1,749579,551347,-1,51424,508182,-1,-1,295229,-1,989694,742183,693730,716012,141587,681089,593341,974605,336091,783864,346207,883286,-1,717233,-1,-1,746761,-1,624644,614282,-1,-1,411017,115006,-1,-1,-1,333157,-1,595312,932377,897361,445587,-1,-1,-1,243259,-1,719812,46790,424948,731027,50880,-1,227114,61542,717818,-1,-1,-1,227582,764214,-1,-1,-1,-1,805410,519270,-1,353313,80482,294529,797854,-1,-1,746814,-1,227184,48871,761392,595835,-1,20870,918016,933629,530231,786982,10877,945787,468473,-1,-1,469966,356203,-1,32553,-1,638355,-1,-1,51559,649664,394123,-1,-1,527292,-1,900537,361697,-1,-1,560956,-1,75521,-1,495407,-1,-1,7182,441602,-1,636191,-1,926653,260778,267752,911624,930979,250849,631624,-1,-1,-1,-1,-1,-1,-1,-1,676271,569050,685849,509188,-1,-1,-1,-1,-1,417349,261143,434179,450032,330983,-1,985971,381736,856369,885993,-1,661731,680688,-1,146471,-1,-1,-1,-1,-1,58726,175481,-1,-1,-1,187837,-1,-1,-1,-1,927364,-1,632333,-1,558903,-1,882213,761336,-1,-1,-1,-1,-1,-1,458551,621467,908348,88974,442864,459056,22300,565816,-1,-1,501822,-1,-1,228050,-1,2777,970386,-1,543877,-1,682239,971815,750827,525669,636720,-1,308862,-1,-1,51739,824169,917750,203808,454410,-1,-1,-1,-1,808696,396756,581477,217426,-1,-1,77638,368651,867827,659507,-1,-1,-1,174264,397679,471504,773248,-1,480594,-1,316426,335950,-1,-1,-1,-1,-1,855075,410830,779263,453609,778084,-1,769376,-1,-1,-1,-1,-1,-1,-1,92827,-1,612803,606262,971381,784805,622929,178478,-1,-1,-1,871260,-1,-1,-1,-1,531963,365971,-1,708022,288894,-1,511319,-1,783167,749838,766243,-1,903700,-1,-1,-1,308779,-1,644869,-1,708640,-1,347905,532697,968245,-1,540101,-1,545242,-1,-1,-1,773093,-1,58862,-1,-1,45178,-1,-1,-1,642767,725029,-1,-1,702110,945526,-1,121265,-1,-1,467631,-1,463053,-1,-1,-1,-1,-1,-1,-1,249499,779738,-1,-1,393001,-1,624269,696824,-1,-1,-1,721117,-1,-1,853556,490129,135792,152277,-1,863284,12751,218973,-1,242125,887488,906739,644975,-1,-1,-1,-1,-1,687687,392328,-1,-1,597510,359693,772649,212281,136723,381351,444637,-1,666052,198123,186931,-1,210330,-1,-1,337770,-1,-1,700314,-1,144925,-1,-1,-1,45151,-1,448100,-1,-1,-1,-1,-1,-1,440757,273030,962420,-1,-1,320249,115636,-1,767644,-1,888166,-1,-1,551419,-1,369296,666591,-1,661632,-1,-1,281779,-1,-1,-1,-1,-1,544569,630928,-1,-1,-1,-1,-1,-1,-1,384582,-1,966913,-1,-1,481056,983843,-1,-1,-1,721113,-1,-1,769380,-1,-1,100323,37476,541626,204585,-1,905196,29896,86680,-1,220865,686750,-1,532514,863449,-1,310120,-1,125965,-1,142087,323820,-1,-1,-1,739542,-1,216920,974844,-1,606510,-1,-1,-1,67725,570383,657423,722357,220041,-1,-1,840998,344708,64253,-1,322630,-1,-1,579033,187456,51079,-1,-1,-1,-1,-1,546762,702484,828414,-1,-1,100113,782166,-1,405641,-1,76568,442382,-1,920386,-1,-1,317553,837821,-1,788186,-1,778931,18308,-1,-1,394717,-1,943112,-1,-1,-1,-1,633889,-1,659869,-1,-1,-1,-1,-1,-1,969435,181101,169517,-1,86528,62697,-1,921690,595650,-1,-1,-1,-1,142750,-1,238781,369315,-1,317677,-1,828973,-1,181830,488531,743745,-1,-1,-1,-1,245097,590434,-1,377935,119820,843320,814962,-1,-1,-1,334519,-1,833583,671253,-1,-1,476250,623403,-1,95114,911130,-1,-1,973910,-1,411198,-1,918310,379142,-1,997537,-1,-1,756889,-1,-1,821914,-1,446625,-1,-1,443329,-1,983111,-1,-1,-1,486734,990289,923075,-1,-1,715207,247839,-1,-1,-1,339168,861815,581585,659191,-1,47929,545741,-1,-1,-1,-1,-1,-1,-1,593997,-1,-1,-1,956289,-1,-1,-1,432463,644476,-1,922222,-1,-1,135212,195082,890055,195918,528556,865181,-1,201417,792591,335798,-1,726646,161915,144325,-1,-1,-1,-1,-1,221398,925328,-1,-1,-1,-1,735448,-1,-1,196579,79949,-1,400621,-1,-1,-1,219590,-1,-1,-1,-1,673157,520745,961676,999516,903376,181529,411887,653382,-1,201169,-1,449278,709511,965793,-1,-1,524934,601646,-1,10134,806331,156169,-1,-1,-1,75728,877053,-1,872819,-1,-1,-1,-1,127201,-1,467266,-1,491933,-1,205294,572168,545784,-1,-1,-1,883034,315402,599159,-1,854660,67381,-1,938541,444678,-1,-1,-1,348635,-1,122278,-1,182217,207457,-1,-1,-1,-1,-1,-1,712090,309473,818730,883089,-1,-1,-1,-1,800197,-1,429186,-1,-1,-1,-1,110042,130754,816840,-1,88946,-1,-1,826061,935286,-1,305567,-1,-1,15684,154929,503413,578659,-1,-1,-1,-1,546364,305714,-1,192828,519131,-1,-1,802262,-1,739527,497073,-1,-1,-1,-1,303222,436146,945154,-1,635684,-1,-1,470982,-1,-1,136069,-1,-1,145112,714444,-1,179271,546197,-1,917380,3970,-1,-1,-1,373214,-1,-1,-1,80972,867818,-1,-1,-1,487742,240640,-1,349963,50940,-1,182753,-1,-1,968172,104481,498054,713244,-1,731531,-1,-1,-1,935742,-1,188942,-1,256439,961563,202680,795040,-1,629941,-1,538626,201330,55816,632954,-1,864443,-1,-1,922237,625605,-1,-1,-1,963482,645161,-1,896283,-1,969756,-1,480118,-1,523676,970290,-1,-1,696377,-1,442293,921715,315559,981995,-1,826791,-1,-1,-1,590241,-1,-1,-1,159315,-1,-1,490299,-1,-1,251617,631606,165986,57492,205298,472042,-1,-1,881134,-1,140253,989846,-1,-1,947645,-1,919965,484696,340332,-1,-1,830514,674376,-1,507015,217060,973117,-1,-1,283964,-1,-1,380345,105810,857445,-1,-1,-1,-1,442143,-1,767747,125627,516559,96758,272445,741368,978427,322537,-1,263275,-1,-1,700436,-1,-1,-1,428673,215298,29522,887794,279075,6751,-1,-1,258225,248024,-1,-1,-1,589633,-1,905140,48928,938445,983550,14172,-1,-1,820979,732530,-1,-1,-1,30163,-1,-1,-1,15099,382829,-1,179948,-1,-1,89523,-1,-1,984053,106493,505344,-1,-1,312763,38369,-1,975063,264615,-1,-1,-1,-1,813602,-1,127228,407051,208107,444467,388760,333075,704504,421016,-1,-1,-1,270459,-1,521377,-1,894329,576640,189154,-1,57898,-1,174869,-1,-1,-1,470893,68069,-1,175226,-1,632636,670911,65268,179493,475075,-1,-1,-1,-1,-1,378158,719664,169168,-1,172117,-1,381437,-1,175495,779508,-1,807614,-1,-1,-1,-1,-1,-1,-1,-1,582608,87475,-1,173078,-1,-1,-1,431767,-1,967616,937485,499215,356069,-1,674631,401754,981564,596080,450051,-1,315805,383552,37343,394106,-1,74711,520282,-1,236923,-1,-1,-1,183943,-1,728281,-1,-1,-1,687407,447053,-1,908491,322657,757575,-1,-1,-1,-1,47849,-1,-1,-1,264680,259872,188659,-1,-1,540192,-1,900425,-1,-1,-1,-1,-1,77073,-1,473702,-1,845027,789252,-1,-1,628663,-1,436286,-1,-1,-1,394457,131477,-1,667128,990576,597038,361589,211103,676140,-1,-1,677128,305767,-1,-1,727653,838410,38859,-1,-1,-1,-1,-1,87378,-1,288870,214462,673489,585394,978353,215474,-1,-1,309745,297756,-1,109075,-1,55184,-1,480212,355443,35961,-1,-1,-1,557856,73684,54959,720067,953548,404395,-1,-1,-1,-1,917182,-1,974823,-1,-1,-1,-1,30275,-1,258952,-1,-1,326910,962021,-1,71881,-1,651551,647212,-1,148096,-1,424930,609248,-1,-1,938460,-1,-1,628978,512835,778495,732277,962852,-1,-1,-1,-1,-1,408568,-1,521685,619489,319712,-1,-1,-1,816599,734604,-1,-1,-1,383152,-1,883087,228958,-1,897908,-1,369911,-1,-1,-1,370383,334062,-1,-1,732761,617623,890823,-1,540879,-1,-1,-1,-1,662054,408465,-1,930390,797143,769325,-1,-1,-1,983780,675914,-1,-1,-1,301090,-1,324697,-1,307122,93735,341303,-1,-1,-1,-1,-1,-1,230738,802398,-1,-1,-1,-1,897348,-1,996567,245262,-1,-1,-1,-1,-1,722711,-1,-1,-1,511437,235905,-1,886320,-1,-1,-1,853968,-1,782807,-1,925449,878070,-1,-1,755876,314291,-1,-1,-1,25670,895289,-1,-1,-1,-1,516097,630574,-1,-1,263802,-1,664186,343444,649185,80106,994996,395812,265199,-1,-1,-1,593226,778003,642439,-1,-1,617568,-1,429548,859000,364650,-1,-1,833034,915425,-1,466563,-1,-1,284591,889247,-1,-1,771968,-1,628864,-1,-1,81182,-1,-1,970105,-1,-1,-1,170426,-1,-1,182515,177670,-1,952116,-1,-1,-1,800356,-1,526185,-1,341759,-1,894457,940144,496314,-1,416263,572517,763373,829669,844169,-1,346986,290606,345468,587458,-1,118820,-1,87673,263680,-1,-1,23495,-1,-1,962641,94859,566240,738325,-1,482339,-1,-1,-1,-1,546836,540870,-1,-1,823232,316577,980472,730240,408102,-1,-1,-1,709201,303454,231472,646214,-1,686242,913215,463862,58481,-1,769860,-1,-1,992605,-1,329071,13224,-1,-1,43008,763928,209470,-1,418473,994805,-1,-1,-1,917571,189838,144637,622677,-1,-1,176002,-1,908529,-1,351358,944972,-1,506163,-1,-1,405404,87892,851358,591355,-1,596014,-1,1992,825916,-1,-1,-1,57490,255370,-1,568153,-1,619938,108821,-1,207136,-1,-1,-1,-1,-1,39516,726761,-1,-1,904666,-1,-1,-1,-1,-1,-1,320426,103730,-1,509372,-1,-1,942722,615472,-1,51426,-1,784014,281207,450952,536492,-1,-1,-1,-1,151077,-1,543918,122880,-1,-1,-1,-1,677441,309083,486052,896599,-1,-1,-1,-1,-1,-1,174139,812425,386883,491519,-1,-1,-1,198964,-1,-1,-1,508144,138121,934407,-1,-1,-1,-1,-1,709047,-1,587638,309684,647824,-1,793306,-1,-1,-1,-1,253584,577637,-1,810105,468889,406929,-1,912138,-1,650985,-1,-1,-1,946503,-1,809974,-1,-1,729362,-1,-1,630357,535158,-1,19301,-1,-1,569046,-1,-1,-1,-1,-1,48273,-1,-1,465516,620487,-1,-1,297250,629082,-1,477457,445118,706536,139468,-1,-1,-1,999493,224793,-1,-1,-1,-1,-1,741755,-1,-1,915025,519066,727227,-1,-1,128999,-1,-1,-1,-1,610291,697694,122325,-1,231847,-1,234908,-1,888468,684091,654728,484660,-1,-1,-1,-1,402805,-1,-1,-1,-1,-1,-1,66439,-1,-1,-1,226525,-1,-1,880350,226817,55658,-1,-1,-1,525168,-1,-1,-1,-1,585537,-1,547606,-1,-1,-1,-1,-1,-1,651483,-1,158278,636847,-1,920044,-1,868923,812035,-1,526355,-1,732747,-1,99912,798987,-1,912289,-1,-1,-1,425207,185583,-1,432573,369614,301109,572120,-1,-1,41782,-1,-1,939211,325338,639959,382560,-1,-1,-1,-1,-1,965491,-1,-1,-1,-1,390775,398537,-1,-1,388628,343179,-1,-1,-1,-1,321089,-1,83074,756934,523661,-1,-1,-1,447390,616808,484040,858900,724067,902847,657220,201204,-1,950130,183279,379095,712033,-1,-1,-1,-1,-1,-1,-1,388422,8234,106772,3191,921132,-1,-1,807318,447237,312498,-1,-1,-1,912653,-1,-1,-1,-1,904068,597254,59062,225357,511871,-1,614679,532057,-1,966742,653198,76053,-1,-1,530527,-1,700076,-1,-1,532679,-1,-1,510445,313615,-1,374337,304546,921178,676802,971850,-1,-1,709548,-1,-1,373080,248038,302478,828026,-1,-1,-1,654000,588075,863524,-1,816410,182848,-1,939765,-1,-1,783101,141513,-1,-1,415319,-1,977639,-1,574660,-1,-1,810707,52420,421114,942477,-1,-1,-1,654339,-1,688726,-1,-1,-1,846422,105398,596883,-1,632859,-1,-1,-1,-1,-1,-1,-1,118080,983241,831411,990325,635455,70292,312088,-1,969602,-1,-1,401416,-1,-1,953515,671730,917679,-1,-1,744031,238766,662224,-1,791083,698261,568514,948604,-1,-1,11185,-1,961552,634282,754768,-1,247618,-1,-1,-1,-1,101144,909052,-1,96865,-1,676180,700453,50267,632940,-1,-1,-1,656425,-1,75359,245885,797686,718086,740663,39790,354709,-1,883376,-1,-1,-1,71282,-1,863165,-1,174489,684257,577325,806964,995579,303069,318574,-1,104419,661947,263717,-1,-1,106784,-1,-1,470111,-1,-1,-1,312177,786212,188807,369197,-1,-1,518531,369548,762751,692300,690227,639798,-1,-1,-1,-1,-1,-1,-1,718303,-1,692966,-1,997677,-1,33296,102195,-1,-1,527156,-1,186094,-1,246256,-1,-1,-1,-1,-1,-1,-1,-1,-1,510087,-1,796428,891238,204274,27596,943420,-1,-1,307395,-1,451911,-1,507328,-1,392669,513920,580289,504466,-1,-1,-1,-1,29988,-1,733636,81146,-1,396339,157140,-1,-1,689006,-1,-1,-1,-1,-1,-1,-1,-1,276993,162738,-1,-1,34442,557561,-1,-1,235628,-1,350597,-1,913561,-1,-1,679159,481036,-1,424415,-1,458392,-1,860494,-1,889149,569552,-1,347228,-1,-1,799194,717784,-1,-1,-1,-1,-1,-1,556312,-1,662646,-1,-1,-1,-1,991985,-1,-1,997206,-1,139665,-1,-1,-1,760204,-1,-1,624728,-1,-1,-1,433313,-1,15076,693246,934853,-1,905700,-1,474641,-1,726924,932301,-1,936473,-1,-1,-1,653115,-1,-1,-1,462965,-1,851715,-1,849567,536060,619255,-1,696496,-1,-1,-1,666752,262061,608101,-1,-1,-1,262453,572254,-1,-1,-1,525429,-1,211301,-1,770218,-1,480630,664388,953160,-1,-1,-1,-1,-1,-1,788373,911699,490844,862609,52787,-1,-1,-1,-1,-1,-1,-1,-1,-1,552789,-1,-1,-1,-1,978865,909359,749906,55218,303903,-1,752755,-1,227904,864173,884003,363629,495138,-1,441879,-1,-1,891741,-1,-1,179217,-1,-1,-1,355177,604548,142279,-1,882541,39248,5662,608820,-1,-1,-1,907038,704783,551651,-1,-1,491907,-1,-1,-1,-1,772926,331222,-1,-1,-1,-1,-1,701336,-1,521330,630704,737191,712901,466754,-1,238592,797682,640757,350036,-1,-1,499305,255958,-1,43716,-1,677549,974956,-1,186013,-1,285076,-1,-1,369336,-1,-1,-1,-1,943532,-1,-1,-1,-1,-1,-1,642652,848189,187246,848929,-1,-1,-1,-1,-1,-1,399191,63300,-1,713525,-1,814986,-1,678964,-1,466892,-1,-1,960308,936904,-1,222611,-1,-1,902942,-1,-1,152977,118876,25480,-1,4072,-1,684334,-1,207427,251477,-1,-1,69898,-1,944850,-1,-1,402790,297049,451114,-1,-1,967020,545087,-1,-1,629602,732787,726464,-1,-1,615553,161308,-1,64487,-1,-1,-1,-1,-1,822341,938786,334968,493086,592709,681288,-1,-1,-1,113147,-1,-1,-1,-1,197004,-1,630947,627914,-1,340311,-1,-1,396202,-1,-1,-1,17572,738904,-1,232755,8847,222692,521075,946243,906423,951798,-1,-1,-1,252132,-1,973670,-1,401477,842700,104119,37006,-1,-1,169441,-1,339391,-1,-1,760060,-1,903575,397680,-1,-1,-1,701690,27996,-1,-1,-1,126878,463446,-1,-1,759957,8590,351920,-1,337143,-1,940460,493144,828,380070,290439,838368,-1,160407,900106,-1,-1,-1,-1,-1,-1,237402,-1,-1,-1,-1,250619,-1,-1,855660,847047,604221,-1,864104,-1,419233,-1,-1,-1,583586,-1,-1,-1,-1,586958,-1,-1,654677,-1,-1,-1,717851,-1,-1,-1,465734,344600,-1,110109,-1,725496,609280,853069,131388,699282,-1,363001,125882,-1,733904,705718,-1,366618,-1,661700,57087,509779,-1,-1,317088,1152,160275,-1,728422,71690,-1,373310,801730,-1,-1,788622,-1,-1,-1,-1,432359,615435,-1,-1,-1,-1,-1,458542,-1,302842,-1,-1,972879,-1,-1,-1,411676,294488,-1,296085,-1,-1,639523,365890,736122,-1,-1,185397,-1,-1,146988,534047,399767,-1,-1,430969,-1,-1,290802,327177,365449,-1,62255,562051,-1,860805,241228,734410,113233,356325,873110,-1,-1,-1,-1,276900,-1,289284,-1,-1,806163,164730,85307,-1,-1,252993,-1,730964,81022,657901,-1,215567,-1,45797,738848,-1,-1,544097,81586,-1,350561,-1,-1,-1,-1,-1,668345,322972,473701,-1,-1,-1,712915,-1,210391,425400,-1,-1,-1,482846,708431,-1,112008,-1,-1,-1,-1,-1,998838,96052,692840,729504,793595,51042,921520,652308,172321,-1,242327,-1,-1,121307,-1,127769,-1,-1,732630,-1,624078,-1,-1,254550,330925,-1,-1,-1,519977,566767,-1,-1,-1,377547,-1,-1,694671,-1,574800,-1,912725,646729,910465,-1,693188,956993,-1,475665,-1,308372,-1,560522,-1,350721,866404,-1,834811,-1,932132,500669,760230,682455,329150,272592,610677,-1,5421,-1,258564,-1,864322,854242,382899,699848,599363,-1,-1,-1,-1,-1,-1,-1,-1,2468,-1,841477,366720,477997,-1,624261,-1,159711,-1,-1,763061,434498,640724,233825,-1,988280,991551,-1,-1,-1,-1,-1,830202,382209,288511,566576,-1,864859,-1,243537,-1,643199,592634,444372,616736,-1,-1,-1,903230,928368,-1,788183,181261,-1,199251,-1,489991,656581,626980,657659,578846,311108,776849,-1,-1,449131,161145,-1,601084,867693,-1,717859,343144,108743,561890,247519,-1,849736,809877,823529,-1,-1,-1,974739,-1,392827,306396,25818,272925,440644,96475,-1,721876,498744,297938,629239,92477,463813,-1,455498,-1,574759,585937,442207,-1,508333,-1,452736,-1,-1,-1,594323,910104,421575,758058,-1,191367,265946,244031,858394,-1,593664,-1,61769,-1,-1,-1,635512,827630,-1,38499,286896,-1,248663,-1,-1,-1,745080,-1,-1,-1,997922,-1,-1,-1,101161,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,774911,-1,-1,-1,-1,-1,-1,-1,-1,-1,511384,-1,739642,-1,-1,-1,-1,894256,457188,-1,670111,-1,-1,713522,64962,336033,-1,-1,537901,639613,-1,860897,464090,656948,-1,-1,874445,-1,-1,-1,391883,-1,589082,-1,411483,-1,-1,-1,223181,-1,-1,-1,-1,-1,-1,-1,-1,492778,902830,-1,312093,574261,664003,411158,55850,-1,500773,180646,-1,-1,598266,301216,365018,-1,-1,-1,-1,-1,-1,867805,969491,391456,107186,-1,-1,-1,926968,640784,-1,415967,-1,-1,-1,221060,-1,-1,723468,-1,694284,-1,406293,-1,-1,-1,-1,-1,742239,18327,803278,248619,637528,76229,-1,-1,-1,627140,-1,-1,255604,-1,-1,-1,808989,23113,-1,565543,794828,-1,185610,-1,-1,-1,414270,358891,418301,682553,-1,734947,169482,-1,-1,202853,750237,-1,37667,911009,541802,440849,-1,170684,446724,995919,544532,342236,-1,-1,-1,-1,552973,-1,-1,816844,769298,516476,-1,688600,983106,-1,-1,-1,491719,326790,302629,916638,-1,-1,-1,153981,-1,674991,-1,360117,55810,366397,479685,-1,-1,80480,961134,416547,949858,892861,-1,43272,47367,7232,-1,-1,-1,-1,960105,-1,186591,89746,185593,-1,-1,-1,708355,-1,987705,373618,-1,-1,-1,-1,521884,-1,-1,-1,897706,608603,-1,916337,830175,276816,730313,-1,-1,787335,38901,-1,-1,-1,-1,-1,83024,-1,-1,-1,-1,9033,198693,976071,-1,-1,-1,-1,-1,987805,-1,615977,66315,514113,597550,266229,-1,102037,-1,780054,167581,887402,707065,-1,925311,-1,108317,-1,-1,-1,-1,-1,-1,649135,620154,-1,-1,-1,548348,-1,-1,-1,79700,-1,-1,-1,-1,268917,600745,-1,868200,-1,-1,-1,-1,-1,-1,845014,-1,-1,622641,298321,-1,-1,885095,212589,-1,-1,-1,-1,-1,-1,-1,-1,702386,156727,-1,-1,520047,-1,598701,-1,779388,-1,-1,928199,-1,-1,749800,-1,-1,-1,394853,296725,-1,455296,504988,979657,-1,-1,-1,-1,-1,-1,274199,796563,419940,955552,381271,595522,250000,971216,981548,790803,-1,-1,-1,-1,-1,663082,-1,991730,79834,-1,-1,874693,528168,454383,789493,-1,-1,-1,-1,-1,-1,-1,941352,617992,-1,-1,-1,-1,-1,77310,-1,-1,75852,973831,879098,610634,-1,101768,-1,-1,962256,546162,-1,-1,613735,544101,792031,-1,-1,39173,-1,-1,-1,-1,-1,505580,-1,148798,266221,-1,320945,59941,-1,992091,-1,-1,328737,-1,-1,510574,-1,338377,860305,444935,-1,129153,596991,154365,-1,-1,-1,-1,-1,166906,238732,190488,-1,214743,-1,-1,-1,328738,-1,666169,-1,883345,563891,845317,-1,310441,-1,47983,-1,-1,200572,-1,861115,-1,-1,-1,834761,-1,410716,-1,-1,697173,-1,395163,-1,-1,-1,-1,682395,768484,980716,-1,774535,-1,699761,374330,320076,-1,796413,-1,-1,-1,245819,-1,-1,-1,805521,-1,-1,469575,-1,594011,190479,618285,181472,-1,265697,419232,-1,-1,-1,-1,925120,158078,353299,785236,-1,232374,98758,-1,-1,940119,-1,-1,780531,-1,481739,694495,350862,732290,-1,650974,629330,-1,-1,185781,593139,281995,-1,-1,161620,219443,-1,13999,-1,500772,72771,611287,974695,-1,-1,-1,-1,54723,311052,-1,90374,948510,-1,-1,-1,420447,-1,191029,658914,644438,-1,-1,329132,-1,698384,105742,-1,-1,276429,978893,-1,-1,696782,-1,376793,-1,-1,990296,644740,-1,-1,415695,301584,280109,64665,-1,195590,-1,561760,340237,-1,964329,373944,-1,-1,757552,-1,-1,143934,81823,-1,-1,-1,305623,222431,-1,922584,-1,-1,-1,-1,-1,-1,-1,-1,948927,404818,437680,686835,-1,866671,578217,922733,-1,-1,-1,-1,613774,648973,223566,54395,591799,-1,119896,-1,748148,948705,-1,-1,109494,-1,222133,8223,-1,317654,-1,978268,-1,623369,928081,-1,574495,-1,-1,-1,413422,885574,-1,75516,96239,-1,-1,438484,-1,910379,583157,487364,-1,-1,677423,-1,969479,976191,-1,77850,706979,825406,349588,-1,861856,399481,-1,29599,240436,-1,547093,-1,13163,361052,60819,-1,877956,-1,310694,-1,855786,-1,336094,367163,985513,164913,438820,580248,206483,137441,113664,-1,-1,-1,-1,873735,-1,-1,-1,-1,953113,-1,235247,458654,-1,-1,-1,542161,-1,239935,618502,-1,958647,-1,-1,143421,-1,287035,-1,-1,-1,941743,309862,738088,715438,85774,684134,143371,-1,-1,-1,-1,468766,-1,-1,-1,158084,739797,128663,928959,-1,-1,-1,-1,-1,-1,411071,542372,339561,200908,-1,163838,-1,-1,250666,-1,872891,843039,550872,-1,656038,-1,113350,-1,675839,931507,659884,254030,708298,951897,721730,-1,-1,-1,73608,-1,-1,-1,-1,-1,176617,-1,-1,-1,651487,-1,-1,-1,625208,669265,-1,351214,378156,401224,-1,-1,-1,480600,-1,-1,-1,-1,-1,183947,329461,590859,85502,-1,-1,-1,-1,346989,967451,296135,-1,188737,177346,-1,461411,392481,-1,195713,769769,-1,723785,936922,382974,48122,936138,-1,-1,6228,996854,386751,447645,-1,580066,756470,-1,-1,-1,890882,849140,876075,990684,-1,-1,-1,-1,-1,-1,606320,520438,-1,867986,-1,-1,304042,67794,42391,-1,303061,-1,-1,367862,-1,892482,876834,-1,689322,-1,-1,226924,981442,-1,264432,-1,892847,-1,406629,705088,-1,-1,320830,207732,192951,485186,-1,860832,-1,275952,-1,-1,944278,331764,-1,821838,931371,-1,-1,-1,-1,257962,-1,-1,296597,-1,-1,-1,-1,904297,-1,222864,-1,844248,649729,245519,-1,588974,89035,303524,-1,699348,555681,845983,49621,560982,845005,280258,97150,-1,-1,-1,204974,699256,-1,-1,241576,-1,-1,253680,-1,-1,924218,452239,-1,-1,-1,-1,791871,913063,-1,-1,-1,418897,-1,334434,181868,684571,839314,665814,403973,824777,-1,-1,-1,-1,-1,-1,747733,-1,-1,-1,559919,26950,-1,-1,-1,883795,854799,-1,988863,172751,-1,731737,106516,-1,-1,500053,-1,-1,128751,-1,133224,735534,486460,389190,-1,99439,-1,298483,671766,567350,53679,-1,-1,142796,272656,-1,-1,666434,472575,354672,-1,-1,-1,-1,149581,-1,892533,-1,819796,605716,362585,895918,696413,-1,-1,731118,961476,-1,976754,-1,-1,-1,-1,441728,-1,-1,-1,199005,217200,-1,-1,481710,-1,-1,-1,442005,-1,-1,-1,326473,-1,710231,710212,-1,306311,-1,975736,-1,-1,213602,-1,292036,-1,-1,-1,-1,-1,-1,178898,966627,-1,708495,-1,814275,-1,-1,186518,-1,-1,-1,-1,-1,655754,781972,-1,-1,251427,-1,692776,281974,-1,-1,306516,585098,296209,926803,-1,-1,301651,191924,-1,459184,-1,496449,-1,326832,-1,-1,936654,-1,-1,-1,686979,879460,780580,190910,9959,236861,-1,211588,465868,774711,13381,184488,678373,707045,-1,295306,-1,-1,598360,794017,-1,523232,-1,-1,-1,-1,-1,925047,-1,-1,987084,-1,335968,379788,-1,131215,-1,190250,-1,-1,854960,231970,999336,267194,-1,-1,18045,308209,954963,-1,281232,74881,-1,903388,-1,666000,345342,-1,-1,-1,-1,-1,-1,350854,-1,902097,51800,-1,-1,30462,357258,783870,766232,459069,-1,965456,54524,-1,848515,-1,246326,545825,258532,-1,393154,-1,501998,297693,-1,420889,-1,-1,759441,989691,565355,-1,-1,-1,769493,-1,622967,633761,712065,-1,757607,652289,-1,150150,-1,558915,-1,138899,34466,145564,-1,-1,55890,547621,-1,-1,46068,31181,-1,200090,-1,-1,789250,329037,835763,-1,-1,-1,403211,-1,351019,588134,711911,107644,-1,240999,-1,69248,-1,458956,770571,-1,-1,-1,994343,-1,701735,622648,-1,405550,731135,463029,261417,-1,985443,-1,-1,-1,-1,413097,-1,-1,814862,223129,716119,-1,871961,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,992547,-1,138172,-1,955418,-1,-1,-1,515190,-1,955761,-1,-1,-1,-1,942573,460157,-1,-1,328579,67022,-1,-1,-1,-1,778949,933376,117166,104745,51995,70085,-1,-1,-1,660379,224687,631181,364843,-1,50387,344678,167280,-1,222225,-1,-1,408579,-1,-1,-1,4376,-1,859213,61070,769311,96647,643009,62934,693894,528260,582437,384724,-1,-1,-1,-1,233841,230383,831859,378031,-1,-1,584113,666157,-1,-1,-1,-1,329626,-1,-1,-1,-1,124119,-1,-1,-1,735628,-1,842313,-1,-1,-1,-1,438437,347516,-1,-1,453847,921870,993518,-1,-1,333005,757673,-1,-1,-1,-1,37464,28833,-1,-1,189833,305788,-1,-1,-1,-1,758195,286041,-1,-1,-1,688168,-1,31788,-1,853771,-1,-1,814485,808099,830778,-1,-1,-1,430788,717911,-1,104114,-1,-1,599719,127214,26379,168857,-1,-1,-1,39548,-1,937669,-1,199979,-1,-1,364695,688017,-1,-1,196801,526369,-1,190066,-1,-1,332536,970789,127345,-1,-1,-1,849005,-1,-1,-1,799543,34109,-1,3235,-1,124009,716069,638458,476646,-1,63849,-1,-1,672830,608864,805911,1242,13841,106280,-1,-1,-1,-1,320370,861243,55092,259919,-1,-1,-1,-1,-1,98372,-1,101103,-1,67664,-1,505817,360015,14345,702307,60243,172644,614167,-1,-1,-1,859680,234104,-1,-1,454769,-1,-1,-1,-1,585771,896514,455996,-1,818772,820790,533492,-1,174476,183334,-1,-1,553137,-1,622998,-1,315278,122584,-1,742637,247021,194748,-1,477474,432006,579591,46435,469732,-1,734691,221234,-1,457786,189945,723895,-1,-1,387660,786667,-1,-1,-1,-1,-1,-1,-1,39457,-1,85727,-1,-1,-1,-1,48504,877082,56510,306733,-1,-1,182331,-1,787792,753285,145883,-1,743024,992690,137686,690941,-1,18918,-1,213461,-1,297658,333197,204838,128693,693613,428632,-1,-1,-1,822220,123707,-1,-1,-1,194252,-1,19623,-1,-1,-1,-1,525940,514510,814795,-1,-1,328937,28982,775448,56897,-1,-1,-1,-1,381393,-1,147346,593915,460583,73879,-1,981803,184586,299260,697714,234231,427920,202568,-1,323134,9788,-1,-1,492876,-1,893247,935322,-1,-1,660404,-1,-1,-1,263474,-1,-1,723227,992170,-1,-1,746735,757406,-1,323430,121519,-1,-1,29597,653563,-1,-1,362038,-1,-1,-1,839353,451376,-1,-1,129629,805955,-1,978714,203584,-1,-1,-1,473097,268084,-1,363039,-1,-1,-1,-1,-1,96580,-1,86678,-1,-1,-1,-1,-1,-1,-1,-1,518006,177245,924497,-1,-1,-1,889875,230718,-1,-1,-1,-1,-1,164241,-1,-1,270493,960089,-1,-1,923332,271142,19798,-1,196896,619053,223221,901519,-1,745420,422453,-1,816801,-1,-1,210163,-1,410422,-1,56479,838098,832578,54449,-1,615386,801530,706869,-1,215728,848200,923315,-1,670496,820022,619011,798239,466065,-1,-1,-1,870985,763009,223890,-1,-1,679549,-1,-1,-1,-1,-1,995808,831814,744129,-1,458188,597149,-1,894249,105575,353196,731948,903275,18182,465089,-1,970029,92228,921868,-1,-1,21914,-1,245260,189960,903537,979301,-1,-1,-1,-1,-1,137466,784756,561358,-1,-1,-1,775159,-1,-1,631562,710008,-1,73848,-1,-1,18201,-1,398026,401531,688217,-1,-1,153657,-1,226273,997035,-1,-1,41673,123505,-1,713639,117312,-1,523759,696659,-1,633114,-1,-1,-1,-1,-1,120490,-1,592466,346731,220940,792553,707378,-1,-1,-1,-1,513289,214624,-1,397846,48500,-1,-1,841450,488615,684402,-1,301935,-1,794508,-1,-1,-1,-1,-1,238314,-1,356138,-1,-1,-1,807178,649190,-1,294233,-1,-1,131011,365262,-1,810642,964590,934033,-1,39678,-1,414827,968042,-1,890093,-1,56307,628764,445355,381468,463207,-1,168806,211198,900503,437619,726214,82916,157153,395128,338507,826980,-1,-1,647488,-1,723977,991951,-1,-1,-1,-1,975200,-1,427930,-1,767541,206962,-1,-1,-1,-1,996246,-1,-1,-1,340604,638921,440438,778052,-1,-1,-1,-1,-1,-1,605405,-1,-1,48046,352564,-1,-1,-1,-1,196404,-1,-1,94121,397980,-1,807665,484509,-1,322497,444179,-1,-1,-1,83462,768063,-1,908133,-1,330548,-1,-1,-1,422461,547189,-1,-1,381274,776564,276618,-1,491860,642176,214039,-1,999333,341633,696783,337687,166709,128357,31260,970761,-1,311069,-1,263252,85568,181986,246869,540069,-1,164811,-1,54898,-1,-1,-1,519037,95871,-1,279481,-1,-1,-1,436145,231809,249184,-1,-1,-1,338008,-1,-1,-1,526303,-1,137286,-1,-1,-1,-1,-1,-1,-1,-1,451093,-1,230086,-1,-1,642777,-1,623309,-1,-1,727588,-1,-1,504919,954414,-1,586313,823252,-1,427196,879593,-1,-1,-1,-1,-1,370898,428396,-1,566483,-1,-1,-1,77766,-1,-1,648447,-1,-1,-1,834459,484346,-1,-1,989456,971274,-1,-1,798773,505499,-1,-1,464261,-1,-1,-1,-1,252684,-1,687740,809514,-1,-1,-1,724616,508873,-1,648790,512039,-1,-1,-1,874183,491660,982248,-1,-1,361884,-1,973167,688716,-1,-1,61301,615715,267077,-1,-1,951003,32510,22748,217469,-1,-1,-1,805621,-1,-1,-1,-1,930075,220982,-1,801173,807997,-1,-1,653000,-1,552060,958158,-1,46082,230113,649070,-1,-1,223248,-1,155191,-1,879180,-1,138694,361186,-1,-1,-1,-1,884005,500276,525752,717944,526102,-1,-1,-1,507688,-1,386705,-1,-1,410959,680388,-1,983722,-1,399091,155856,-1,341157,-1,-1,679214,202563,-1,-1,806862,-1,272146,832542,324279,66044,621367,-1,-1,-1,-1,584288,172892,222440,-1,-1,784728,631977,-1,-1,-1,945077,-1,819946,-1,568171,312694,832851,523820,-1,-1,794294,-1,-1,-1,51323,409817,767039,254671,-1,399962,-1,447208,-1,784509,-1,-1,-1,24758,-1,481135,-1,-1,-1,-1,-1,878062,307352,-1,547855,148721,484947,917409,145395,-1,-1,-1,-1,890240,185742,225554,-1,-1,-1,-1,671327,35078,224788,-1,-1,-1,-1,302070,-1,63245,-1,-1,160020,-1,223791,-1,-1,-1,432301,606454,-1,72411,-1,-1,959989,-1,751126,358158,-1,862601,729852,395312,-1,-1,192800,-1,242155,405099,-1,115131,-1,-1,-1,760065,911333,-1,-1,-1,-1,457864,40756,712037,-1,-1,-1,-1,992829,182487,-1,72875,102189,-1,708146,-1,-1,85160,-1,216433,722671,768259,558757,553102,568690,-1,-1,807202,-1,840349,4704,-1,-1,-1,233469,-1,-1,582368,-1,-1,922516,-1,-1,878204,855129,-1,10037,307469,-1,-1,-1,-1,-1,-1,982136,-1,275380,-1,880504,52944,-1,-1,998384,339378,-1,637432,310509,938995,11444,-1,-1,389119,925898,-1,865254,582004,578113,919050,659867,-1,-1,-1,-1,-1,-1,428588,-1,109270,-1,-1,723135,940231,-1,-1,-1,-1,-1,-1,-1,407921,379878,-1,270162,686839,-1,-1,277773,-1,627144,-1,571816,408106,878585,297282,252427,645175,-1,440565,791771,-1,-1,-1,-1,718538,957106,626521,-1,236232,-1,-1,-1,-1,847333,423629,985701,-1,953907,-1,983767,355515,913439,-1,-1,56409,133392,705913,102057,-1,236609,946965,-1,-1,912266,867910,-1,367869,700545,981653,875854,288514,692642,-1,256840,767559,701564,891917,862964,-1,-1,170688,-1,401391,779948,-1,-1,262809,-1,-1,-1,63033,-1,-1,-1,-1,-1,-1,823353,-1,-1,172914,181469,-1,525358,637503,-1,479346,87757,578197,-1,-1,991061,394690,258471,-1,-1,-1,103763,732094,320849,111031,788926,-1,-1,677473,58814,-1,-1,-1,994305,-1,-1,559386,-1,-1,-1,-1,-1,-1,-1,-1,202425,612420,716882,574582,430541,-1,-1,-1,-1,681447,544214,367618,465801,-1,700227,-1,-1,-1,-1,-1,354926,-1,669328,632035,632297,-1,439809,-1,-1,579811,843369,-1,556521,-1,-1,-1,759233,-1,-1,-1,860002,-1,-1,-1,824909,-1,-1,-1,-1,-1,-1,843867,-1,774329,-1,-1,275878,259842,-1,732292,872384,-1,486094,802092,790482,250341,-1,-1,-1,-1,-1,-1,514903,-1,520799,-1,-1,908780,995369,291912,-1,592468,-1,168624,-1,520956,-1,175428,-1,255015,-1,145360,-1,760624,-1,-1,-1,738285,783459,746413,-1,-1,900845,650548,768973,-1,476164,-1,-1,-1,403637,-1,650185,-1,-1,550050,815614,177096,-1,-1,-1,-1,-1,-1,909292,-1,-1,-1,849055,68599,-1,-1,161999,-1,785734,585673,-1,-1,407319,-1,260067,-1,796604,674924,343698,-1,326424,-1,-1,721365,717032,69948,160452,668873,177597,122410,-1,818532,-1,468707,-1,-1,-1,78158,-1,-1,-1,104985,224403,-1,317325,872856,745384,-1,433975,529017,117059,-1,987026,-1,-1,-1,935810,-1,307363,432699,-1,-1,-1,774133,807718,-1,187626,268202,886239,-1,-1,-1,950426,-1,-1,16930,-1,696946,-1,53398,-1,446375,-1,-1,-1,10624,580991,-1,-1,384376,-1,-1,-1,-1,-1,-1,260383,-1,-1,430636,115557,76596,-1,-1,-1,-1,-1,393160,-1,-1,295373,100646,-1,36826,547476,-1,812506,424763,-1,-1,-1,-1,-1,-1,-1,418368,-1,259409,356887,-1,-1,29416,790884,353283,345174,-1,-1,276974,26197,944166,-1,-1,403842,-1,-1,890537,-1,-1,-1,-1,878311,567861,812353,531779,-1,-1,749704,-1,283955,-1,-1,236720,887935,-1,-1,-1,642159,-1,912846,-1,267300,-1,-1,-1,462366,-1,-1,257446,-1,199975,-1,456379,-1,-1,-1,-1,793287,954335,-1,274251,-1,50348,-1,-1,290231,-1,-1,-1,493179,-1,731571,-1,-1,767384,-1,-1,547163,-1,51863,-1,82047,320712,-1,711107,-1,-1,34294,-1,-1,-1,951694,-1,-1,193135,-1,82780,574447,651446,-1,-1,-1,475442,-1,413176,920530,-1,-1,230284,750767,390673,-1,719886,-1,-1,-1,677691,-1,-1,441811,-1,305590,-1,513183,978899,-1,122173,-1,-1,217789,891795,-1,123132,-1,-1,-1,-1,-1,-1,521910,-1,-1,-1,-1,-1,-1,-1,629165,344092,-1,-1,119959,169165,-1,-1,900055,167934,41289,-1,-1,155804,377737,282114,422986,601505,414479,-1,-1,-1,642583,362800,-1,421442,-1,-1,-1,-1,-1,-1,-1,300454,-1,502166,-1,-1,-1,-1,-1,582255,-1,769154,96734,933945,-1,-1,276730,-1,-1,303068,-1,-1,-1,-1,131332,-1,35484,-1,250678,162071,-1,968007,-1,-1,796911,-1,446872,916037,995884,-1,552017,338589,-1,-1,-1,-1,489566,-1,58477,722678,-1,262753,476648,974404,-1,202418,-1,504424,687669,698468,-1,168617,292859,-1,235115,-1,-1,909455,-1,651750,778755,-1,710500,674875,-1,-1,292799,125272,390364,-1,935932,-1,753228,-1,57418,588024,390399,-1,-1,881734,-1,810280,610896,-1,-1,-1,831377,-1,-1,-1,-1,-1,-1,-1,-1,-1,273815,-1,-1,-1,-1,-1,281267,576140,-1,670516,148689,-1,-1,-1,400501,-1,18603,-1,-1,-1,517798,-1,238312,503440,754906,-1,-1,-1,182271,-1,-1,-1,-1,130242,-1,494679,-1,696346,-1,876969,-1,-1,980335,8285,-1,-1,835651,-1,941371,-1,44374,-1,511358,563657,-1,270676,-1,30108,840713,934506,-1,550698,638477,676992,-1,95427,-1,-1,608837,-1,919353,-1,42385,866517,638936,-1,317965,957677,646658,-1,-1,-1,-1,-1,-1,539604,-1,-1,365839,-1,390469,-1,904567,-1,519666,251095,998982,-1,-1,-1,331155,216037,-1,-1,154228,552002,-1,-1,-1,925185,-1,325682,-1,533263,232639,-1,-1,-1,213311,-1,-1,550286,536303,-1,219237,535429,531941,-1,249162,846592,-1,490314,171618,90124,-1,-1,-1,-1,-1,13449,553413,-1,-1,-1,74662,20929,379913,-1,201319,648125,-1,99083,-1,730912,-1,93004,423972,-1,-1,-1,903834,289327,-1,-1,456527,923838,-1,370983,429668,358005,102636,-1,197918,121658,-1,354428,271400,-1,-1,519231,-1,-1,484144,-1,729524,547530,238623,-1,200619,967258,-1,-1,871512,132942,238209,-1,-1,-1,776334,-1,925030,-1,-1,-1,-1,382775,-1,86652,-1,751673,-1,-1,618134,178611,-1,46032,497509,888325,501832,994082,202330,210311,366803,-1,-1,-1,563311,-1,440859,-1,738464,-1,408733,-1,-1,726963,-1,-1,-1,-1,792505,159319,787191,152240,-1,426184,615434,131100,561386,419366,-1,-1,709669,700290,756858,-1,931703,890953,-1,-1,479359,78231,705127,-1,-1,198862,-1,-1,901351,780717,641575,-1,-1,762551,24130,-1,455770,520398,-1,60385,482089,489694,-1,947378,724072,-1,691430,734170,-1,-1,-1,633437,445520,-1,-1,126831,-1,-1,647567,-1,-1,-1,916154,374909,-1,259184,479800,993511,134717,610589,-1,636240,-1,-1,944044,861790,-1,682749,416174,295100,816691,-1,-1,482298,732343,-1,998306,62608,834435,-1,498554,510995,-1,-1,773167,-1,840440,433533,358270,911560,-1,-1,-1,-1,-1,-1,86982,997541,95754,598392,-1,-1,601973,-1,-1,632196,337961,-1,-1,707414,645930,921981,-1,-1,868236,336600,208550,-1,140966,-1,148847,-1,977672,-1,560829,816206,45945,930230,-1,820235,-1,456851,506561,667748,-1,-1,894822,32291,631504,810423,-1,37515,-1,58309,-1,-1,55713,-1,-1,-1,282011,-1,-1,373547,796946,-1,683683,-1,-1,609494,-1,-1,-1,-1,-1,367327,254364,-1,-1,59749,21741,232420,812132,713158,550886,-1,-1,-1,270488,-1,222624,33757,209497,779335,-1,-1,337460,-1,153288,-1,150243,445349,502397,972737,166963,-1,-1,989766,-1,-1,860910,-1,-1,-1,990670,-1,354135,613732,452395,91211,162052,-1,815349,486361,626252,-1,-1,776616,236646,922500,190087,-1,-1,323352,-1,215472,887715,880172,953772,341223,87911,887771,537199,-1,-1,153344,-1,-1,780964,860796,-1,-1,-1,827830,-1,709269,-1,856627,-1,-1,399690,402111,62081,-1,-1,-1,-1,-1,-1,180079,-1,203919,904014,-1,653088,170320,-1,740985,485668,773879,316156,-1,924922,216595,-1,-1,985038,384246,819376,-1,928841,626385,-1,773671,-1,-1,-1,340736,148978,-1,797382,311783,-1,461081,172786,902396,-1,138912,-1,-1,878747,-1,-1,-1,-1,192084,996740,497782,-1,896795,452969,-1,261323,-1,701383,-1,844583,-1,942393,-1,-1,860666,-1,-1,368222,251700,471050,187799,90800,167375,-1,-1,-1,-1,-1,-1,98584,865263,347682,-1,-1,258113,-1,514302,-1,-1,-1,337791,96096,-1,730558,221831,-1,-1,832412,628801,-1,-1,-1,-1,709689,506687,907222,-1,277833,437849,-1,-1,569680,432825,561641,755963,-1,-1,-1,-1,976051,831075,468482,719169,398228,-1,-1,727738,745376,882738,-1,309447,743654,801222,-1,-1,-1,244712,-1,-1,362615,473025,-1,-1,-1,385712,-1,-1,-1,955697,71651,894772,306204,-1,508231,-1,-1,-1,522993,-1,-1,-1,978617,-1,809766,-1,127118,157135,-1,-1,634932,871090,-1,70406,136910,591430,716167,-1,-1,638901,-1,-1,-1,207677,-1,433732,-1,712409,-1,94139,-1,-1,-1,972002,-1,990671,-1,-1,-1,109126,794432,-1,-1,-1,399637,-1,-1,-1,710268,754236,698250,-1,24275,226162,665437,-1,829170,-1,-1,-1,483569,681468,-1,-1,788484,-1,-1,-1,421131,-1,-1,-1,758202,-1,-1,561637,-1,449511,-1,-1,-1,656561,-1,-1,573976,-1,388753,684534,-1,-1,-1,487694,-1,76894,739856,-1,278996,-1,715298,-1,371944,-1,432231,162073,-1,-1,-1,-1,-1,700760,-1,125918,19471,-1,-1,-1,945115,862012,-1,59537,-1,-1,620964,-1,260636,389205,-1,608729,722316,676810,-1,-1,869976,643330,-1,628087,373118,964397,849630,30951,-1,870644,182707,243961,-1,-1,-1,-1,215239,144541,-1,491311,439175,-1,-1,106856,-1,919501,610107,941508,-1,-1,380150,-1,23436,-1,650773,-1,-1,-1,-1,193869,397936,-1,-1,-1,-1,899779,767540,113538,786123,988744,-1,-1,-1,-1,994862,-1,842436,-1,-1,782436,349991,-1,394564,226955,83274,-1,983113,562817,669278,275085,-1,31204,-1,958758,178899,-1,265601,-1,409148,-1,-1,395423,-1,306579,535775,293484,125960,-1,-1,14619,12246,27304,-1,272492,755571,588812,836053,-1,624144,-1,356982,-1,294133,-1,-1,631575,-1,739910,362806,870754,413245,-1,99618,-1,598253,166409,-1,-1,-1,75322,-1,-1,-1,494475,-1,-1,-1,227573,-1,-1,910012,311179,-1,930011,405264,630713,965872,-1,501130,767949,-1,185760,915486,524998,387280,317507,-1,811503,987807,606966,-1,391164,366052,920594,-1,703839,284484,-1,-1,-1,300590,167693,421130,-1,-1,931477,550902,-1,313701,10718,548513,735366,377975,273251,326837,586300,-1,-1,171260,-1,88671,516926,348651,816520,-1,-1,216510,122234,139650,-1,14993,-1,-1,203826,469470,-1,985566,-1,861618,-1,-1,-1,-1,-1,186418,200678,636520,-1,451365,826777,231913,140101,715243,-1,483704,-1,-1,811633,688955,-1,-1,-1,-1,-1,-1,-1,-1,90077,-1,726058,-1,-1,463706,-1,-1,-1,-1,382288,509725,-1,97135,286863,123651,-1,-1,12857,-1,-1,-1,759603,-1,-1,-1,713344,-1,-1,-1,-1,444712,-1,-1,-1,372498,-1,-1,-1,506759,95502,-1,-1,267766,276652,-1,-1,501962,664757,85559,-1,424760,2132,-1,-1,-1,500667,362721,650792,883077,-1,-1,143093,263926,-1,-1,-1,924183,-1,-1,-1,64679,885409,817619,298954,-1,952569,278181,-1,-1,-1,-1,-1,80627,-1,548682,-1,172079,-1,409486,926828,649815,-1,690551,28382,309347,631533,928859,-1,-1,679311,-1,-1,-1,346452,-1,-1,-1,-1,-1,45507,-1,596917,-1,427238,-1,-1,378594,207141,23405,867898,259454,585642,-1,-1,-1,-1,915028,33775,-1,685386,-1,-1,894001,701552,-1,918613,211576,-1,54826,-1,-1,284418,-1,474802,643281,89828,362715,-1,639423,543994,-1,888602,558487,853282,872273,139866,-1,-1,902391,-1,-1,-1,-1,-1,772305,420817,-1,-1,-1,214279,-1,-1,975157,309067,-1,-1,755032,537301,604490,918615,120132,492520,-1,526856,220902,-1,932303,-1,978779,158444,-1,-1,355018,380605,418329,-1,996964,-1,446249,-1,-1,632628,686387,-1,836337,230080,694277,-1,195098,397760,18443,950269,-1,444800,26316,-1,106658,998560,942619,112002,181918,887232,268305,595935,-1,580727,456707,-1,6362,-1,-1,931607,475535,-1,-1,-1,-1,-1,131636,823432,25215,-1,-1,819236,-1,508853,-1,-1,-1,-1,235854,426861,464612,664607,378310,523032,-1,-1,-1,-1,-1,-1,472022,233549,-1,-1,586591,-1,-1,-1,-1,-1,-1,848815,95574,-1,353057,186225,324164,813531,86732,-1,915487,949573,-1,723925,986701,-1,-1,611749,377139,229814,60402,308149,779280,192076,94373,289321,501664,919968,681170,-1,-1,-1,-1,-1,-1,-1,-1,883792,-1,-1,-1,163866,903600,-1,505668,-1,10785,-1,-1,-1,-1,160317,715730,-1,421704,-1,-1,281200,867525,-1,-1,45775,619924,-1,353401,70229,-1,-1,889363,-1,-1,173206,-1,-1,-1,-1,739153,-1,697432,64104,-1,-1,558637,-1,142599,307074,-1,-1,-1,34948,-1,591530,208089,-1,-1,915578,969729,-1,-1,-1,257353,-1,208922,-1,549878,491115,196467,746223,221057,679927,-1,457783,344106,238193,-1,-1,767103,310550,979545,754543,-1,22159,814237,193102,463997,-1,743821,-1,-1,-1,-1,-1,-1,140996,561493,255259,-1,-1,-1,-1,766564,867715,-1,-1,481796,576960,-1,225698,-1,539883,-1,-1,697703,-1,41055,773115,-1,-1,-1,-1,-1,-1,-1,-1,467099,-1,-1,-1,-1,-1,-1,-1,-1,137939,632887,-1,430261,-1,-1,-1,-1,645294,321261,251590,380815,-1,-1,-1,139313,297104,5287,165982,-1,679555,-1,-1,340420,-1,422827,-1,92329,176014,664396,-1,-1,597964,575364,176276,-1,619299,-1,-1,610264,881704,874296,-1,-1,352998,-1,478698,726349,494298,-1,529,-1,-1,10464,128659,863046,-1,-1,344511,-1,-1,-1,677950,-1,-1,-1,-1,-1,126768,-1,433330,396075,651909,726397,-1,-1,-1,-1,-1,-1,944899,-1,524949,-1,-1,993948,-1,-1,612027,173352,495163,-1,942921,662782,121920,66070,-1,614482,91761,-1,-1,144332,491377,-1,474432,671992,-1,-1,-1,819690,367156,509494,519445,-1,586937,867417,-1,-1,-1,615723,-1,933788,-1,-1,-1,481836,-1,41834,181562,-1,-1,-1,549017,-1,367276,20299,-1,-1,495988,-1,351859,811396,155439,473802,-1,-1,553787,-1,-1,-1,-1,-1,-1,112744,-1,-1,-1,-1,482985,273853,828292,-1,563083,636891,375034,364315,-1,467348,480013,-1,646437,707867,406617,110019,-1,-1,860063,-1,409697,-1,94062,998893,737263,792828,938599,519015,485324,334379,-1,617905,745678,-1,-1,578341,476100,-1,-1,-1,-1,911994,-1,606916,526997,-1,815497,-1,374363,-1,402310,-1,481473,709716,-1,737457,582303,220730,604676,-1,-1,-1,499017,-1,89124,174679,290674,-1,-1,-1,42146,612930,-1,-1,282330,374996,-1,648984,-1,-1,-1,236476,847234,326321,202367,882736,-1,829736,-1,689530,240592,-1,36178,-1,-1,681653,880827,962446,-1,824123,930095,-1,-1,248285,151109,568846,850633,703029,-1,82685,543561,-1,-1,591481,987534,-1,839804,504504,-1,-1,252809,-1,714263,-1,-1,-1,966543,865959,697353,117924,-1,191958,862038,-1,-1,-1,863306,-1,-1,-1,951512,105684,-1,-1,-1,-1,-1,-1,456638,-1,688621,19968,-1,-1,746010,-1,-1,290532,-1,-1,-1,-1,435055,-1,-1,-1,836407,-1,-1,-1,540682,-1,-1,-1,54889,-1,-1,97957,822689,346640,766529,693135,753151,-1,-1,-1,306475,-1,710551,-1,175661,228493,-1,-1,-1,680952,768974,287813,563639,-1,504889,801504,252222,675742,850356,-1,598835,-1,-1,704933,27132,386348,-1,114871,359873,468028,477362,926066,601418,253322,648066,-1,-1,-1,983133,-1,103970,-1,-1,-1,943832,23062,-1,-1,-1,-1,995106,-1,286555,901600,360547,303705,485264,408974,-1,96593,-1,431438,-1,337707,926702,212848,-1,-1,-1,898505,-1,586140,-1,914931,-1,-1,-1,128477,721213,-1,166330,101293,468107,343715,586740,-1,780026,-1,-1,-1,463042,987929,-1,-1,528888,-1,-1,791742,919592,16021,688926,-1,-1,-1,-1,-1,-1,601043,735676,-1,-1,532301,661412,-1,-1,395434,-1,976449,-1,-1,139885,-1,212594,-1,-1,89628,-1,-1,-1,347414,827381,-1,-1,-1,-1,-1,906024,304964,-1,971803,127484,-1,248657,70575,-1,315952,-1,491219,465387,271317,-1,-1,59638,671008,742871,719131,936027,-1,-1,385833,-1,-1,-1,252311,-1,912345,-1,-1,-1,748322,750677,-1,648127,436155,-1,477079,362008,-1,-1,955738,-1,560441,284460,-1,503294,9578,-1,-1,-1,-1,943097,-1,-1,895426,85748,-1,489356,669013,-1,-1,426771,796373,832437,989388,-1,-1,-1,-1,-1,155012,-1,472392,643155,301244,33093,-1,-1,-1,-1,-1,595325,151020,-1,719960,-1,672205,881932,-1,658693,-1,-1,-1,-1,713876,416592,-1,309790,909085,926399,348155,-1,483830,-1,-1,-1,-1,-1,-1,529543,-1,-1,-1,-1,4426,-1,-1,-1,-1,-1,93930,415992,-1,-1,710771,424935,-1,-1,-1,435094,-1,188828,522728,685325,800394,-1,898973,199589,965171,-1,-1,-1,881492,-1,-1,-1,363919,815338,-1,-1,394547,-1,-1,-1,-1,827970,-1,577892,-1,335357,551256,204994,180132,-1,552998,-1,569721,767897,-1,629584,-1,-1,-1,165289,329549,849646,841221,574013,626611,-1,922307,109587,433665,412005,587538,934180,-1,976309,880454,-1,-1,92518,-1,307523,732257,-1,-1,-1,-1,891247,-1,165521,-1,-1,934855,-1,797415,401597,576915,659705,31128,-1,626725,-1,-1,828813,451569,460544,-1,25572,-1,312132,115713,977253,858797,-1,-1,338928,-1,712722,-1,633771,414043,967222,-1,-1,-1,-1,-1,463864,-1,-1,-1,160019,-1,385623,245531,822889,-1,648272,-1,968285,-1,-1,-1,780602,979987,818096,-1,-1,943890,992414,-1,-1,-1,85451,61440,-1,37939,-1,507261,117606,-1,83189,840090,206128,-1,724663,801012,-1,822233,-1,-1,-1,474093,-1,-1,505554,809416,60119,-1,253126,655616,976620,-1,-1,-1,-1,697830,-1,-1,867164,672552,-1,-1,778989,-1,144237,192424,-1,-1,146181,-1,443391,870671,-1,539785,533554,-1,-1,989631,49764,-1,399792,879125,124452,994799,229762,424833,602996,-1,318649,-1,-1,-1,-1,735744,287198,534143,886005,653833,-1,881382,-1,-1,-1,662639,381291,-1,-1,902618,-1,-1,268789,-1,195961,-1,579495,504118,243769,547473,303169,657804,-1,108898,681318,830564,85557,-1,-1,-1,330034,226498,707028,772943,238799,-1,726112,-1,703381,549939,938076,617900,-1,-1,-1,369600,4338,-1,-1,-1,419536,91555,-1,-1,-1,-1,494568,693767,-1,-1,-1,24580,-1,813288,985053,317568,-1,254840,-1,-1,-1,-1,270986,680423,434420,232478,-1,578834,-1,550272,-1,662877,-1,261347,942924,-1,-1,104492,-1,-1,217655,922967,-1,133274,-1,559399,94144,274710,-1,374466,-1,121404,390970,931035,-1,874423,-1,632426,-1,-1,585891,-1,-1,490464,-1,76764,-1,710425,645503,638755,-1,795282,-1,-1,-1,-1,-1,341098,184381,-1,380996,40320,-1,-1,-1,842872,-1,-1,109121,433115,542163,784732,-1,-1,-1,601037,-1,617195,729470,89445,-1,696387,540945,-1,-1,214147,-1,-1,-1,722625,397961,-1,618894,847693,-1,557504,-1,-1,994579,763315,-1,-1,914805,-1,-1,424606,121381,-1,99311,-1,-1,229829,-1,-1,845270,112795,-1,756837,354466,-1,940098,-1,919350,14879,-1,-1,895734,310682,-1,681715,-1,-1,-1,540900,84338,359335,-1,-1,-1,314501,644897,-1,-1,-1,-1,579701,970575,790157,-1,-1,-1,-1,-1,-1,-1,-1,-1,913599,136624,190714,199437,-1,-1,563203,-1,-1,565288,-1,497993,-1,754086,-1,-1,-1,787031,259188,759130,-1,90721,677627,441888,36405,560038,-1,-1,648116,792918,-1,-1,-1,450944,193876,-1,-1,-1,485627,979748,-1,199662,16142,-1,630461,-1,-1,855656,394240,292332,699311,-1,513375,412697,-1,-1,401949,884300,2401,809404,-1,553351,852593,-1,811305,-1,277103,711115,-1,146130,31119,-1,-1,146556,35519,130330,529715,-1,-1,-1,812686,-1,68221,43927,655543,-1,23403,304692,353075,-1,431470,-1,-1,-1,-1,89419,286995,-1,281740,752575,-1,-1,592061,-1,-1,-1,631303,-1,-1,-1,-1,749510,115729,368338,-1,-1,-1,-1,-1,-1,223170,40062,401351,178717,763172,-1,-1,-1,-1,-1,278106,-1,96779,-1,-1,-1,680826,-1,956862,-1,-1,-1,-1,999826,622588,790394,-1,-1,494663,689692,451484,559318,734002,-1,616835,-1,-1,812757,-1,168439,782701,52855,46576,-1,328663,774340,-1,-1,-1,861604,-1,871005,11693,-1,-1,-1,634652,754888,-1,-1,-1,416338,-1,-1,164123,348573,243485,-1,109540,-1,893478,-1,432309,-1,928561,-1,492771,-1,139452,-1,736508,-1,-1,421880,-1,-1,-1,281324,-1,-1,-1,-1,-1,483543,294223,235986,6174,-1,-1,582475,-1,327456,-1,630582,-1,814028,-1,-1,170020,-1,-1,-1,-1,882387,-1,9589,-1,511106,29846,-1,864773,-1,171944,461608,-1,428961,-1,447660,252571,385238,274231,-1,-1,-1,-1,32019,395764,-1,136460,464899,-1,-1,-1,566087,-1,-1,427900,-1,-1,244934,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,984877,116424,184817,-1,636182,319226,746955,-1,-1,617220,147514,-1,786014,-1,-1,250133,-1,-1,692336,-1,-1,-1,-1,81399,-1,-1,-1,-1,654013,-1,54246,299459,-1,808090,-1,527164,988000,159900,189961,441035,-1,595121,-1,-1,464480,-1,438989,203815,983697,-1,495158,578270,9975,-1,434279,441386,-1,988837,-1,-1,-1,791636,321502,405049,-1,763834,-1,50230,-1,813638,-1,486462,-1,702710,695354,-1,488405,973007,-1,-1,-1,240492,486284,624669,672753,552266,911151,-1,-1,-1,-1,-1,-1,-1,100696,399015,-1,-1,703337,425357,646218,316231,-1,972762,70430,-1,653540,-1,-1,560705,949030,-1,-1,862870,445784,-1,-1,840066,223070,162645,-1,568938,-1,926719,251764,-1,645109,745325,-1,-1,257391,-1,-1,-1,690945,-1,-1,852124,809794,-1,-1,869205,18905,-1,-1,30708,-1,-1,228844,190188,150912,10312,993520,-1,149620,-1,361296,969675,-1,-1,-1,507770,-1,492996,861906,299898,158658,631465,53640,563206,-1,979265,667902,265992,326813,-1,-1,-1,-1,-1,596380,616465,-1,136912,-1,205947,649636,254630,-1,-1,993430,-1,-1,-1,950884,-1,495219,-1,-1,742672,737306,-1,971490,-1,439807,855608,187621,-1,-1,901120,279349,-1,-1,285957,621,-1,-1,-1,373200,94320,-1,-1,-1,58339,-1,-1,65691,-1,-1,-1,910460,-1,552981,138322,668530,195552,652913,999918,102990,639175,-1,78461,-1,65431,-1,-1,377930,368567,290651,-1,-1,-1,757464,602566,977117,-1,-1,-1,-1,407451,-1,381542,756264,-1,-1,84566,713268,-1,-1,287055,-1,946404,-1,-1,759564,-1,942388,-1,-1,-1,-1,900768,-1,-1,-1,-1,-1,-1,-1,878611,789076,448745,677830,-1,836272,-1,390056,534410,-1,160626,307357,76580,334419,-1,29796,121623,262401,215094,567438,-1,-1,-1,957351,-1,548189,-1,-1,-1,-1,170175,209616,-1,774326,662041,-1,-1,-1,-1,21604,508606,-1,-1,455906,-1,982184,639852,-1,656974,700524,278188,941930,55206,-1,-1,521853,661487,-1,-1,837358,309171,271333,-1,315463,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,96456,246394,29927,-1,-1,-1,998314,-1,932680,-1,-1,-1,533325,-1,948880,-1,624263,-1,-1,-1,-1,242585,780956,547351,-1,616278,987520,-1,192483,-1,805876,433623,387544,621265,883572,948446,583703,-1,-1,801101,724250,487537,750347,-1,449623,765558,257732,566244,799268,-1,-1,120225,737246,646159,-1,485211,-1,-1,-1,-1,517072,-1,326819,-1,463264,609147,-1,878107,-1,875216,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,339474,-1,739219,844869,-1,-1,-1,-1,468269,-1,-1,-1,820401,329988,505088,951456,-1,495604,550211,-1,287550,219548,494107,-1,829891,-1,-1,-1,234613,445553,-1,-1,-1,440355,-1,-1,-1,-1,639553,-1,97684,69456,-1,107029,871159,-1,113223,-1,-1,-1,660886,92023,694931,179177,-1,169871,223650,858582,-1,-1,-1,336292,-1,-1,-1,-1,720570,-1,854001,651639,-1,68250,569197,-1,501957,-1,-1,-1,-1,476464,-1,-1,415235,-1,88688,-1,-1,-1,-1,243841,-1,547245,240966,-1,819138,-1,374399,-1,119828,634657,-1,452241,-1,-1,-1,298972,352246,678260,-1,536201,803281,910917,801355,-1,-1,780627,-1,-1,957302,137295,582039,-1,-1,304043,69279,722709,313830,345229,-1,448523,58341,-1,855644,121883,418900,-1,780157,591446,-1,-1,-1,-1,-1,854124,-1,-1,148260,-1,777418,-1,401689,-1,916089,-1,561763,233585,276306,555750,507842,686255,429933,181983,-1,-1,-1,649281,788899,855805,740661,398567,3782,355061,-1,356183,-1,905105,-1,-1,-1,-1,876595,129030,273636,295971,-1,353640,-1,444194,-1,-1,-1,418228,-1,-1,937820,570445,120173,-1,-1,-1,-1,-1,489252,410048,260500,-1,-1,-1,703007,531697,-1,614348,619822,-1,-1,281762,-1,-1,-1,-1,-1,976524,922641,828386,755594,-1,-1,612141,98181,552255,786023,909022,-1,946455,46930,373606,-1,473649,-1,-1,337539,704577,640737,-1,-1,257404,-1,195252,-1,-1,-1,350706,180741,807725,-1,-1,287610,-1,960997,712947,-1,-1,263947,472091,-1,952354,-1,-1,-1,33020,-1,-1,-1,142534,-1,-1,713193,-1,-1,765784,-1,390361,649529,994098,-1,279270,137653,-1,706574,-1,8303,-1,503240,277987,-1,-1,-1,616333,36610,756394,340704,696345,287337,860863,-1,-1,-1,-1,927849,647869,-1,-1,650153,614948,-1,381961,-1,-1,-1,-1,-1,225973,-1,-1,-1,-1,523418,-1,-1,-1,860755,565794,452373,478040,-1,657144,45079,-1,-1,-1,793849,824345,-1,-1,-1,-1,151035,-1,-1,970770,747472,390758,976842,-1,711141,548067,-1,-1,160174,338888,235379,799594,803519,-1,394089,-1,-1,450847,594616,925944,-1,980415,494726,-1,-1,-1,107924,42032,-1,-1,856097,-1,632082,966471,864183,290209,371649,-1,635835,755207,-1,-1,-1,542147,112918,-1,-1,475548,-1,-1,687557,-1,899892,228866,-1,-1,668633,-1,603624,-1,517608,373452,17371,-1,-1,310006,186894,993585,-1,-1,714687,68624,230347,195979,-1,-1,464485,596464,-1,-1,-1,-1,-1,127102,71744,888067,-1,-1,756783,385156,956667,887831,733955,-1,961341,27031,108216,-1,-1,88536,-1,730629,-1,-1,-1,875143,-1,-1,-1,-1,837752,936362,886046,-1,-1,-1,265908,-1,-1,954099,23054,827175,-1,653158,218786,861751,688076,577632,-1,451792,56782,230766,188729,164204,-1,-1,538593,202709,-1,-1,337394,844670,-1,-1,-1,-1,-1,-1,-1,-1,690231,943111,-1,-1,-1,-1,-1,-1,317297,-1,816865,-1,-1,584229,272116,719220,-1,782405,601630,-1,-1,866702,664087,692715,-1,750362,-1,453564,-1,147553,-1,674481,180294,858972,82973,681782,-1,-1,-1,-1,663187,-1,-1,-1,431297,859961,840757,-1,383212,-1,-1,738430,319322,884189,-1,130412,656261,85956,121875,339768,-1,-1,-1,513859,262257,11372,-1,124252,885495,404886,713565,733353,-1,576521,662788,604039,-1,397719,605625,415982,800310,747342,-1,373818,-1,-1,-1,-1,-1,910091,-1,-1,-1,523880,-1,-1,-1,716868,461626,460398,-1,-1,956019,-1,704831,-1,-1,245214,857597,866816,-1,904087,-1,-1,-1,-1,765533,134336,-1,-1,487096,-1,433858,-1,-1,653005,-1,456807,-1,527473,704443,-1,-1,428488,994117,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,666950,-1,-1,39152,168875,137046,-1,-1,154553,600877,-1,651966,183142,-1,-1,-1,36575,-1,811282,-1,472049,388335,-1,177881,438822,182057,-1,423670,88402,-1,680133,222075,-1,-1,346445,-1,350927,-1,-1,206744,599570,-1,-1,-1,-1,-1,696368,-1,-1,-1,-1,109498,201765,-1,-1,-1,389465,20103,-1,873101,876161,728081,979977,-1,-1,-1,-1,466058,-1,740593,-1,-1,-1,-1,471597,-1,389006,-1,56903,-1,391609,-1,530631,-1,459756,-1,39434,-1,874688,41148,564351,852630,-1,-1,-1,496269,-1,-1,317195,-1,-1,449890,878051,-1,-1,-1,407510,-1,-1,673448,635541,772356,579170,975700,-1,-1,658663,-1,-1,-1,762268,-1,-1,-1,116301,109687,877920,438602,215085,115234,-1,444037,301549,-1,66019,-1,197982,559537,-1,-1,159916,575277,-1,-1,999195,561397,272861,302403,-1,-1,801064,-1,-1,-1,-1,-1,840269,-1,-1,809129,937367,808307,470961,-1,-1,-1,-1,968519,-1,-1,-1,56871,956779,415811,-1,221155,557831,229431,775201,365156,629570,939566,-1,640312,-1,314418,-1,727455,464723,-1,-1,-1,-1,-1,831398,-1,-1,-1,-1,-1,-1,-1,-1,-1,790176,-1,-1,-1,-1,506482,654839,615473,998290,-1,140783,-1,593858,685964,-1,-1,-1,251260,-1,339957,618905,-1,735578,802771,604871,651999,-1,144631,-1,696535,798676,-1,143137,974802,-1,-1,352335,952028,938398,818616,76867,179070,962157,770290,-1,949447,976937,992726,-1,286231,-1,-1,-1,385478,-1,-1,-1,977671,-1,-1,-1,-1,133617,832766,991952,-1,629211,45179,-1,541796,347857,-1,257457,-1,661781,727161,556827,-1,989514,-1,891222,6682,349820,345338,-1,-1,179573,-1,-1,397079,186447,-1,-1,497362,-1,-1,-1,-1,506126,187833,-1,-1,-1,109755,400591,-1,468692,668092,-1,-1,52974,-1,250960,996580,-1,218051,-1,-1,-1,976549,44334,-1,237711,-1,-1,357085,705277,-1,-1,236008,-1,-1,518912,840420,184781,891499,290331,698591,181645,994713,508964,-1,545386,788997,-1,-1,388126,869721,626382,623479,-1,-1,73243,-1,-1,465285,-1,-1,284561,-1,815195,-1,-1,-1,94153,482587,711246,864977,956133,713717,-1,-1,-1,848288,695229,60566,124565,68675,-1,664042,640004,943419,862099,-1,989501,364631,-1,980105,-1,-1,-1,-1,747125,-1,413499,-1,-1,211575,-1,-1,-1,373802,22989,-1,-1,-1,-1,-1,662844,23861,49402,479787,-1,460829,964558,-1,600841,662726,-1,-1,-1,698119,-1,-1,-1,235775,418925,498993,730267,489729,-1,750074,-1,357381,382020,418777,56676,-1,94809,-1,639904,-1,239088,-1,895999,-1,458125,-1,448746,508863,926526,-1,-1,-1,-1,-1,-1,-1,914912,262982,-1,-1,525129,-1,422541,-1,-1,-1,647528,-1,-1,15577,237845,717940,-1,83842,-1,-1,-1,-1,605562,952378,-1,-1,-1,546960,536762,-1,197416,-1,830169,-1,918012,-1,342800,-1,459816,780780,-1,885483,521173,346011,337025,776142,-1,992681,-1,42422,-1,-1,-1,156589,-1,842383,-1,542151,651140,-1,-1,801675,-1,891924,860133,-1,-1,319581,731860,284063,452350,-1,326119,568585,253531,168604,752225,-1,659795,764908,-1,615758,334246,778853,-1,978935,728226,179282,-1,337435,-1,551932,820300,77446,592304,-1,255013,-1,-1,160992,-1,964928,-1,714618,464101,-1,-1,-1,591400,-1,632075,463896,-1,485955,684542,885010,844822,905900,238033,89807,-1,652211,565721,38967,-1,140164,441344,-1,-1,785486,945127,-1,953224,927008,-1,181483,675556,-1,230528,944524,638595,-1,408748,-1,56667,32605,-1,-1,-1,730422,668298,-1,-1,798810,-1,-1,-1,537885,513811,847632,-1,-1,-1,-1,250872,-1,-1,-1,871515,-1,-1,-1,-1,-1,54164,571562,-1,910763,-1,-1,304371,679514,75332,-1,-1,376959,-1,243460,871333,193840,-1,169731,989105,-1,167421,482036,580487,-1,235450,-1,217182,829791,-1,646303,-1,692898,190129,180038,-1,-1,571439,-1,-1,587942,561942,-1,-1,573287,-1,-1,-1,203174,-1,-1,-1,-1,473520,-1,859845,-1,-1,795311,950657,37814,629547,224372,46142,510453,-1,966385,-1,-1,-1,801779,794782,-1,-1,-1,355602,-1,973133,-1,949706,153129,842095,-1,-1,481176,-1,-1,-1,-1,-1,75507,-1,-1,7284,-1,746062,-1,459485,962240,-1,-1,-1,270842,999087,288711,622471,-1,415665,-1,-1,-1,93417,-1,982915,221925,-1,-1,123402,780078,-1,533106,-1,-1,-1,-1,246261,439721,-1,835919,219820,546413,-1,-1,-1,-1,-1,-1,-1,977622,741034,787671,-1,977991,-1,-1,-1,-1,-1,898710,969433,277872,-1,-1,-1,978741,712534,58269,-1,-1,425882,-1,682009,-1,425015,-1,-1,-1,487727,-1,-1,890089,-1,989764,-1,-1,477337,-1,401377,982355,551088,300643,-1,-1,-1,163251,115728,941340,323947,-1,142250,431279,305204,591173,-1,52966,-1,-1,697711,-1,-1,568150,-1,29725,396580,-1,-1,559240,609331,101028,301012,492354,-1,733668,-1,797350,241965,-1,504023,429968,892440,747460,502673,383098,-1,970180,-1,-1,-1,-1,398773,-1,-1,-1,667747,734844,786741,887405,-1,97900,-1,-1,222589,974582,-1,-1,111268,-1,-1,568197,-1,-1,621775,-1,539990,506209,-1,233493,-1,916768,297824,-1,81938,549974,846306,56157,-1,307251,-1,806519,-1,-1,-1,-1,936277,960526,999888,-1,31772,-1,-1,178957,229361,764774,-1,79822,92398,553541,-1,-1,991334,-1,760935,-1,819988,-1,272221,-1,359975,-1,-1,-1,82493,-1,18522,111860,136496,-1,-1,452778,-1,290508,308633,837547,464067,-1,152673,47631,-1,-1,630406,369096,258084,878717,543158,499322,439355,352074,269138,79466,-1,116285,609287,-1,678140,-1,-1,307213,-1,693071,686952,-1,-1,351031,-1,-1,-1,-1,-1,-1,590518,396084,-1,-1,-1,273459,155838,377733,246379,183724,174072,150656,132815,303960,802432,738401,520658,900082,-1,477078,137184,-1,334906,89648,749962,775706,483181,-1,-1,-1,676175,549231,-1,993198,330335,-1,139,-1,-1,-1,632233,-1,336400,25696,383878,-1,-1,465944,-1,542112,-1,673832,65506,-1,725600,-1,-1,236779,-1,-1,740781,774696,713657,-1,-1,808119,-1,-1,920662,-1,-1,-1,-1,623523,633086,962423,48685,384125,-1,-1,-1,453224,-1,295742,-1,106043,934503,-1,976682,-1,-1,637628,704737,732019,614843,-1,-1,717649,-1,-1,-1,-1,668660,740175,-1,-1,533417,-1,-1,-1,-1,878073,249060,167073,299703,882122,-1,834275,508277,145442,539187,-1,164348,424879,451398,582391,-1,410511,501787,735073,-1,976334,986396,11895,-1,605941,-1,-1,500286,-1,-1,936476,-1,281362,912128,752718,901002,-1,321644,-1,-1,227777,-1,-1,-1,-1,-1,62456,-1,-1,-1,333522,-1,-1,-1,-1,-1,-1,217496,399972,-1,145135,-1,-1,383208,-1,603707,34612,357174,174147,515577,-1,-1,-1,261468,632934,18472,-1,-1,436857,-1,55510,270224,733765,-1,-1,-1,-1,772091,-1,323487,-1,996318,481909,410606,-1,-1,985087,534092,260870,-1,373925,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,655028,753730,520664,-1,-1,862024,460994,351220,-1,-1,412774,-1,157252,103579,-1,945345,657896,-1,261709,159002,976470,662151,523945,-1,-1,924843,-1,-1,776644,-1,192998,112877,730962,-1,-1,349646,743932,383448,-1,333371,-1,611980,184273,291738,529192,528397,-1,893929,-1,-1,-1,724853,854072,34125,89313,624517,231871,-1,-1,425873,-1,333855,-1,-1,251049,-1,385310,506075,789160,-1,926889,-1,268282,-1,237563,-1,508403,-1,162892,843736,848991,357826,-1,357979,-1,701028,315372,562778,632717,449920,-1,613417,859215,744808,-1,-1,214808,-1,-1,-1,-1,847231,151430,-1,604785,-1,-1,195894,514300,27677,844779,-1,-1,473475,-1,-1,624367,-1,865004,-1,702929,-1,-1,580610,-1,121449,877104,-1,762992,534815,369553,-1,-1,792465,201098,-1,503066,888918,658007,-1,-1,-1,742333,378732,-1,-1,47925,890443,-1,154062,263644,-1,-1,717738,70281,-1,-1,908697,821286,-1,226338,-1,138963,332719,444151,693412,511105,97307,309291,-1,664387,885549,653557,-1,59074,425847,-1,-1,757865,-1,601855,699803,632519,-1,967954,348662,376578,-1,-1,-1,-1,793518,674680,-1,188367,477109,-1,-1,132565,945264,-1,-1,281966,508620,450290,-1,-1,666353,-1,854761,-1,-1,-1,-1,219097,-1,183741,-1,-1,-1,-1,161221,-1,-1,-1,728977,167007,-1,400917,695538,195470,485010,-1,-1,-1,-1,572815,-1,515257,983045,413947,-1,74842,-1,177985,111507,-1,905639,715580,-1,116182,-1,848955,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,479990,-1,704910,797946,-1,-1,-1,-1,599714,950474,-1,438386,-1,971936,166595,-1,691831,347702,-1,-1,977834,-1,-1,812623,328508,184121,-1,752550,526238,100259,63694,-1,-1,616819,461683,-1,-1,-1,965272,995280,-1,-1,857215,-1,490927,-1,-1,837159,327473,692360,-1,-1,-1,-1,408506,550414,-1,-1,936697,-1,400347,-1,236325,456061,593371,636616,-1,513473,-1,350171,874114,742003,-1,-1,-1,-1,-1,349736,-1,-1,984400,-1,522135,618647,364775,66228,-1,822186,311341,979179,-1,-1,752535,718348,643731,38887,628594,192082,464150,599221,-1,-1,80604,408535,447287,968466,515268,287577,-1,539786,945246,-1,384843,-1,-1,156736,675926,70976,226885,-1,445463,-1,216673,-1,213972,982167,57059,233209,-1,524154,-1,243025,-1,-1,-1,-1,138057,-1,-1,780094,289160,-1,-1,-1,-1,34306,904739,641483,-1,25461,224457,-1,39406,968279,-1,92959,-1,885475,-1,178182,-1,-1,-1,735881,-1,-1,-1,-1,-1,587501,-1,-1,-1,-1,-1,-1,179205,338693,280622,-1,372511,131325,983723,110718,833550,548465,-1,57036,-1,484854,-1,-1,-1,-1,67843,879086,-1,-1,-1,-1,-1,-1,-1,-1,926951,-1,493270,-1,-1,961182,426721,-1,835456,942745,108882,747663,-1,-1,951415,320891,-1,706604,-1,805804,675948,-1,-1,-1,632040,-1,-1,112803,-1,740873,-1,-1,627483,312507,266510,-1,-1,-1,799779,-1,-1,-1,-1,998666,23313,129878,-1,-1,-1,396248,571129,-1,-1,-1,709563,401932,875916,-1,-1,-1,-1,811987,411092,3282,-1,812208,-1,354113,503004,-1,-1,-1,-1,360559,-1,73305,738305,634720,-1,-1,-1,785664,-1,-1,-1,365021,-1,980062,-1,920283,76176,-1,70985,780730,598216,-1,-1,414383,-1,-1,611861,47832,337441,-1,-1,-1,355830,1623,-1,809231,-1,581647,-1,-1,-1,778701,-1,-1,122045,417022,-1,626134,194289,-1,-1,-1,819622,-1,-1,-1,95495,428654,-1,409863,-1,-1,15937,873346,-1,672241,877817,-1,96919,831243,-1,388319,505382,710785,311144,-1,-1,-1,212553,176647,434864,802914,130218,708478,484413,185095,-1,614058,630595,-1,-1,-1,-1,-1,-1,233856,180147,-1,429960,-1,-1,896874,-1,-1,556076,-1,59646,770633,820310,-1,-1,592113,618045,766122,-1,-1,-1,-1,462262,-1,761221,470637,-1,-1,-1,919279,-1,570843,-1,-1,622206,-1,-1,-1,254279,-1,688573,-1,75250,869613,-1,-1,-1,-1,-1,245345,93419,852480,317542,703329,-1,-1,-1,-1,901794,525764,189190,-1,-1,987977,26444,991942,-1,542551,736196,10101,-1,-1,375129,-1,957906,439067,-1,744103,588248,138893,284104,372425,765003,-1,-1,289219,-1,449115,-1,-1,-1,105531,262457,-1,-1,-1,-1,7341,286890,-1,-1,480,723946,166605,423618,-1,-1,-1,-1,-1,-1,-1,510024,-1,-1,673894,865749,251287,821561,-1,949780,797205,-1,-1,301553,-1,-1,-1,-1,-1,314016,-1,447800,854477,-1,150955,782611,-1,-1,988945,-1,713312,522894,366722,212640,655235,16490,-1,-1,-1,893877,-1,357289,-1,-1,425862,875919,774648,125869,-1,958993,-1,-1,-1,-1,-1,789655,-1,-1,-1,-1,-1,230209,825253,632604,-1,589030,-1,-1,83467,-1,-1,201541,998787,98234,-1,61536,973242,-1,-1,-1,189099,-1,250474,-1,210549,596987,-1,-1,825761,-1,617631,-1,-1,-1,-1,328026,-1,467614,-1,-1,945224,-1,283332,622346,-1,-1,993386,-1,-1,541439,-1,699130,912469,740993,589832,653510,-1,-1,269028,740262,-1,887182,752706,129277,-1,391934,939902,733883,566943,169246,104977,-1,-1,170630,-1,-1,-1,636561,-1,857217,204421,-1,49006,197811,154654,954687,-1,147770,381685,-1,714648,-1,-1,611070,617888,279433,397750,-1,433562,-1,-1,-1,264881,-1,-1,622308,-1,438432,-1,-1,671985,-1,284652,-1,384364,-1,884500,635180,591117,-1,-1,-1,974583,254253,-1,-1,729785,822231,-1,-1,795230,713745,620251,-1,298175,-1,-1,234965,-1,769946,968982,300708,-1,-1,534550,-1,862048,580400,-1,-1,85652,-1,301257,421541,-1,906939,242143,323589,539318,626412,-1,-1,827317,-1,180587,-1,-1,262145,874356,-1,326482,-1,839805,-1,-1,-1,798784,446108,930248,-1,770095,-1,-1,36572,-1,457324,-1,511317,550313,-1,-1,-1,-1,-1,-1,354479,877497,-1,358330,765647,464153,893065,-1,-1,-1,885927,-1,-1,-1,-1,-1,951344,242229,62096,-1,410467,736935,-1,185832,617306,625848,-1,-1,-1,-1,-1,423109,-1,973384,459430,-1,2859,5199,270136,512865,-1,-1,720273,353226,-1,-1,420690,380766,271781,629319,380814,885268,844769,521248,818121,35541,40394,359654,640543,753593,687039,218328,-1,555610,-1,-1,314057,-1,678730,-1,736054,386841,-1,853198,-1,648269,-1,406151,428450,-1,10041,-1,-1,-1,-1,-1,-1,-1,-1,45211,-1,-1,-1,-1,-1,84758,-1,-1,-1,855870,412400,715327,811107,-1,546701,482402,822783,-1,-1,3448,-1,-1,565124,634896,-1,-1,631494,-1,-1,-1,-1,-1,477385,-1,7520,-1,694888,878814,-1,629910,-1,-1,-1,-1,826106,-1,-1,506411,887670,-1,-1,45954,933923,-1,771293,-1,-1,958300,-1,-1,-1,539884,326025,534818,-1,498995,300638,-1,-1,-1,972470,-1,-1,306495,-1,-1,-1,-1,148128,651552,-1,-1,276205,763682,97712,-1,711170,-1,508060,-1,575974,677567,510300,-1,594131,968322,-1,18564,993607,774871,211101,-1,-1,-1,352842,285569,-1,-1,468358,-1,-1,372782,-1,942046,-1,-1,898848,109541,-1,-1,-1,938966,-1,660741,-1,11798,-1,-1,-1,-1,675030,797040,-1,-1,-1,64541,873651,-1,-1,-1,424804,-1,671255,-1,-1,-1,-1,622425,676444,170710,158211,972836,-1,314196,275355,-1,168947,-1,337438,275210,766905,705163,-1,-1,-1,-1,944978,941417,-1,445489,492640,597655,-1,849792,523573,-1,-1,-1,878334,-1,473033,-1,-1,-1,287743,-1,343745,907479,-1,282094,-1,417409,510433,233409,493575,-1,829394,-1,-1,606963,159341,951767,-1,455,96915,-1,615860,206179,-1,944658,-1,152540,113792,-1,-1,-1,918556,-1,-1,551505,-1,558036,-1,711954,-1,-1,-1,697701,-1,476719,-1,765194,-1,471440,678947,976015,-1,-1,652500,-1,712571,778559,701759,317098,-1,870409,848083,-1,42898,-1,-1,423031,361590,956713,-1,878878,634187,-1,697319,-1,227500,286196,244492,-1,927873,22255,564754,-1,-1,404202,-1,-1,613393,136023,683453,-1,-1,-1,-1,658169,-1,804781,-1,349456,86254,309675,-1,618826,161567,156948,-1,571191,896731,-1,800422,-1,-1,-1,-1,406032,509287,916111,-1,377084,-1,428092,-1,152233,947970,-1,2188,-1,291598,156490,469226,102785,259797,217167,527295,-1,143650,304951,-1,182886,-1,4223,215637,-1,-1,646102,911947,309061,-1,414148,93643,-1,505829,-1,-1,-1,807140,-1,627686,890939,-1,-1,163727,-1,725099,-1,993857,541630,932500,417804,-1,-1,642047,-1,-1,849457,-1,219088,704131,-1,-1,-1,-1,-1,-1,160240,-1,-1,289013,-1,-1,-1,560718,-1,495477,-1,780414,-1,289557,-1,745362,660939,-1,962160,992411,-1,-1,-1,-1,-1,-1,-1,-1,32675,108098,-1,583371,-1,24306,-1,-1,-1,-1,-1,-1,-1,70730,29866,417329,-1,-1,-1,217413,-1,709668,634440,-1,-1,257628,579455,198319,93184,-1,985899,11740,842354,-1,-1,-1,528668,-1,-1,765718,297044,329652,-1,722629,641541,898155,410269,111615,-1,52200,-1,685547,-1,-1,140275,-1,195512,-1,424193,809042,354852,942647,-1,160475,-1,192585,991670,697165,-1,-1,34556,257240,682250,748399,-1,-1,-1,201211,414565,-1,150855,559424,-1,-1,-1,-1,371906,-1,-1,-1,582193,-1,-1,48508,-1,-1,-1,-1,-1,-1,-1,-1,683222,-1,-1,868169,-1,798188,698851,-1,-1,12195,-1,-1,-1,-1,804817,-1,-1,430300,576469,202933,57659,-1,657646,733531,-1,474087,-1,-1,-1,348172,-1,-1,593436,-1,493939,924598,-1,93921,80294,641613,565010,968304,-1,50151,635590,937864,754227,-1,946549,-1,-1,-1,-1,-1,-1,20706,-1,892156,-1,-1,-1,982245,-1,596724,346193,263219,-1,-1,373152,-1,816367,535644,-1,-1,352666,16672,-1,-1,573179,-1,62567,-1,-1,-1,-1,934711,502509,-1,800073,-1,828473,203775,128377,901330,-1,-1,-1,-1,-1,-1,621767,705375,239260,17850,-1,156296,23326,44233,-1,867951,932283,516199,645323,-1,513693,-1,-1,933151,-1,388851,-1,-1,-1,962646,290958,940820,851092,490505,-1,102474,254384,-1,-1,-1,645474,-1,-1,-1,-1,-1,979437,606203,-1,-1,124822,-1,530247,585961,-1,-1,-1,-1,-1,-1,-1,32097,627001,806772,-1,-1,-1,499605,-1,-1,87934,564681,635907,962893,960173,365929,932316,679742,-1,814140,775110,520118,-1,-1,796813,783356,842451,-1,750868,-1,-1,135401,-1,-1,898551,-1,32652,-1,-1,-1,956395,762866,-1,-1,-1,898915,479392,-1,724959,105574,-1,-1,-1,-1,-1,-1,-1,-1,384452,-1,-1,167761,120721,-1,-1,275694,379130,501963,262232,324075,411708,-1,833822,-1,-1,-1,-1,807568,685008,-1,727221,807116,-1,-1,574121,-1,-1,-1,-1,-1,-1,216049,-1,422156,-1,37454,246474,-1,683912,915928,-1,-1,49510,-1,-1,-1,-1,802908,-1,867076,667602,116258,-1,450555,579124,-1,-1,-1,705269,543240,-1,-1,563483,265112,107307,-1,-1,733120,729201,-1,514812,-1,-1,660782,275680,-1,-1,399742,-1,684064,-1,-1,350345,-1,-1,-1,132960,231501,-1,564293,-1,959705,-1,86922,-1,228839,-1,571874,83138,91225,111141,729197,-1,-1,-1,926108,-1,275527,-1,-1,81710,983541,44876,-1,-1,-1,-1,-1,-1,-1,859849,671031,-1,-1,421154,-1,396783,33621,-1,-1,75017,107171,-1,-1,-1,-1,413300,-1,-1,358404,-1,720886,823925,872938,841688,427381,-1,-1,-1,-1,213877,-1,-1,-1,-1,176346,-1,803738,514548,-1,822526,-1,574151,449451,-1,466222,-1,534270,966671,524882,-1,349900,-1,938388,145476,56945,495856,-1,-1,666326,544110,-1,459858,-1,184405,-1,738537,-1,-1,194187,-1,-1,-1,35834,-1,-1,611892,534135,-1,432478,169227,239673,-1,-1,-1,772519,-1,18374,-1,252229,264477,-1,857760,-1,-1,-1,787727,235006,461235,455589,327907,-1,-1,987769,-1,-1,977792,40250,717698,-1,-1,611247,384846,-1,-1,589269,555683,-1,402849,-1,563973,-1,-1,-1,-1,-1,544339,-1,-1,274716,-1,-1,404844,-1,-1,294492,-1,183641,298822,-1,-1,715448,628395,-1,-1,907296,-1,887394,-1,94381,243391,362015,-1,143611,589036,684512,478527,804120,602536,65107,706000,816677,963064,159087,755846,-1,-1,336536,-1,-1,418994,885277,-1,927223,-1,558445,967551,813356,215301,-1,274140,-1,511698,-1,374061,996006,-1,-1,-1,-1,-1,-1,-1,-1,-1,174302,-1,-1,955148,728957,175574,856129,418660,762269,-1,634663,841124,-1,-1,-1,-1,-1,-1,-1,825973,-1,-1,-1,-1,-1,575716,-1,-1,19866,714290,89189,314492,44585,-1,731765,-1,-1,-1,-1,239592,-1,-1,-1,416,762227,17823,302144,165588,-1,-1,180469,-1,-1,816374,641565,-1,-1,917639,-1,-1,92392,-1,-1,9002,709861,-1,-1,-1,734872,-1,711244,-1,-1,-1,839876,-1,433102,711082,802646,-1,-1,231631,553822,-1,-1,-1,-1,-1,34611,968333,-1,102087,-1,-1,-1,-1,-1,248355,-1,-1,-1,553254,275372,-1,759931,-1,-1,534836,-1,919389,352022,-1,644531,410725,-1,-1,-1,237658,261312,119666,342241,570090,668677,-1,503557,-1,-1,-1,-1,-1,357804,239940,-1,491447,795928,69980,970444,-1,321096,394074,-1,864841,-1,-1,299560,320112,-1,-1,-1,117779,-1,-1,32858,-1,-1,217098,718868,636916,-1,-1,910816,-1,123054,217304,-1,571779,-1,793459,-1,-1,-1,-1,304632,-1,600947,-1,962839,724955,754075,899679,-1,-1,189522,-1,616087,-1,-1,946166,-1,-1,-1,-1,960479,-1,-1,-1,-1,-1,216332,-1,-1,727308,-1,858973,-1,-1,-1,174720,-1,-1,-1,-1,102758,-1,-1,-1,-1,-1,-1,747868,664590,-1,-1,404937,856411,158488,-1,64873,507123,539289,-1,89956,-1,-1,-1,929854,177509,26520,-1,-1,8861,480225,45192,-1,-1,-1,-1,-1,48054,649470,-1,-1,-1,-1,886109,637400,-1,-1,-1,199692,-1,858677,-1,-1,-1,-1,543287,180458,156316,783826,594177,451062,-1,699946,867066,948752,760981,899808,57245,838801,410744,-1,766869,-1,-1,874050,-1,-1,260855,-1,865473,655321,788948,879113,846966,444362,-1,-1,575589,946715,-1,7765,320136,-1,-1,-1,-1,54824,562205,651809,-1,-1,-1,650041,304261,-1,742271,478388,-1,15208,-1,-1,915066,12210,-1,832351,509034,-1,432345,32835,34865,259966,294445,469355,313897,-1,-1,-1,31950,460427,-1,-1,67122,-1,217951,-1,-1,225630,876060,789211,-1,182795,740073,-1,-1,-1,261311,-1,-1,-1,118979,382260,-1,175786,-1,-1,727837,246029,-1,-1,171054,112682,-1,-1,-1,34651,-1,-1,836051,838865,804193,185641,147241,814123,223739,414782,116304,998145,-1,-1,-1,14488,-1,646414,394433,-1,-1,-1,-1,-1,-1,-1,778870,431736,-1,-1,290480,192837,979508,26604,188175,-1,812541,-1,-1,92995,-1,558451,-1,35887,863031,-1,811095,364582,885635,249785,-1,143804,-1,-1,564544,572839,-1,-1,554632,524302,-1,-1,68588,-1,-1,199063,-1,546007,183842,-1,779255,670566,-1,-1,-1,537888,720476,-1,-1,990271,601318,624977,-1,-1,-1,-1,-1,713476,575120,335205,547859,583758,612231,161092,-1,175030,467789,52584,-1,-1,-1,161313,255414,-1,413159,682142,214146,33085,117185,831269,130525,295294,844310,-1,-1,776077,85335,-1,-1,-1,-1,467869,222055,648103,-1,40602,229463,-1,119715,-1,-1,730753,661565,243638,118525,72989,9995,-1,-1,-1,-1,-1,80008,843090,998277,-1,-1,-1,-1,-1,-1,-1,493506,-1,-1,912830,906225,-1,-1,-1,-1,162218,-1,726367,-1,-1,-1,339667,166335,790621,703136,534495,-1,135743,-1,-1,527542,83064,-1,-1,752177,-1,137506,-1,-1,782688,951320,257973,47678,864754,727347,152953,-1,78830,438242,-1,-1,-1,-1,-1,715228,-1,-1,996367,802531,139599,92210,-1,-1,-1,-1,-1,2987,13438,-1,172208,-1,272470,78886,274383,-1,-1,-1,643508,-1,633565,556441,-1,-1,207968,-1,-1,621068,-1,607735,-1,-1,-1,695427,400139,-1,521470,406864,53614,-1,688410,-1,595891,131919,-1,375011,192696,-1,126331,779024,670934,-1,-1,916482,356332,-1,-1,-1,690641,60943,482286,-1,-1,51684,506670,160629,-1,-1,-1,-1,84896,17068,252403,434474,297008,399298,679038,-1,718489,-1,-1,731364,-1,-1,-1,758451,-1,915231,-1,819434,451429,-1,658065,-1,286511,186505,782886,867487,2826,-1,-1,904107,-1,38858,730314,-1,-1,-1,-1,-1,495451,-1,795287,-1,-1,-1,550394,78859,548249,-1,805099,-1,477297,-1,311055,-1,-1,951268,940099,-1,-1,-1,-1,-1,-1,989212,-1,-1,430624,-1,-1,924267,-1,-1,19707,-1,837413,598228,-1,588324,-1,181210,607649,545821,166072,59154,725380,-1,496752,-1,815715,-1,769241,140082,-1,-1,222222,-1,-1,646260,26793,63514,-1,683088,-1,365046,822715,502924,-1,-1,957895,463775,-1,-1,-1,-1,78142,-1,-1,-1,87871,-1,-1,-1,-1,260993,142844,-1,-1,-1,518979,-1,-1,103215,-1,343663,-1,663922,967831,-1,559322,-1,428623,786541,379135,-1,-1,647556,780088,-1,-1,-1,279123,179921,698738,735728,979025,309552,-1,-1,415347,-1,-1,-1,100322,473440,338208,598942,200266,-1,-1,-1,-1,634359,593210,-1,-1,616609,627878,-1,207636,946535,456857,-1,-1,-1,-1,187168,-1,910018,-1,375383,332347,59938,766675,-1,-1,670636,-1,-1,-1,-1,534576,83305,160179,-1,-1,846025,-1,170955,833173,599820,-1,372630,-1,472129,-1,-1,-1,785797,917715,-1,-1,-1,-1,609731,53919,110220,-1,496274,620836,-1,351586,-1,343075,-1,353388,555034,-1,237295,246209,-1,239194,-1,85787,821355,438492,43171,834050,141955,-1,841787,114683,-1,718143,-1,856278,615145,-1,260063,-1,-1,-1,160760,693339,522388,339477,74555,-1,504992,155469,-1,-1,789656,-1,606003,878521,-1,22843,-1,454710,77338,-1,-1,821322,154942,-1,231732,-1,708140,-1,-1,463241,-1,948095,920489,390943,-1,-1,-1,317969,-1,708804,554695,526630,-1,194979,807459,749614,-1,-1,-1,-1,437384,-1,-1,448396,-1,-1,-1,-1,264654,225301,-1,689068,-1,766998,-1,941032,-1,696775,218708,-1,361027,-1,-1,-1,-1,-1,314558,296066,-1,-1,938116,141982,790767,785125,904684,-1,-1,-1,-1,932662,-1,-1,972999,570651,-1,-1,444925,794314,443400,333781,678740,-1,-1,-1,-1,-1,-1,324862,-1,-1,-1,434747,743547,-1,892115,260940,-1,93430,-1,967732,145910,-1,302924,37446,-1,-1,627426,54605,-1,-1,-1,529172,-1,979325,-1,994294,-1,549903,-1,-1,-1,-1,222283,920724,-1,-1,978527,-1,-1,-1,37914,28662,249833,463878,-1,150407,682961,-1,-1,-1,181929,-1,-1,125432,550372,-1,254681,-1,484730,650174,-1,-1,764954,-1,11192,-1,-1,324109,288516,-1,-1,800435,-1,-1,430941,487448,-1,446142,-1,674582,-1,-1,129607,-1,735353,-1,-1,-1,-1,-1,541178,221120,899840,899533,351077,-1,-1,-1,253206,-1,388734,-1,610346,-1,-1,-1,-1,544813,-1,664536,106167,412980,174818,694532,988184,-1,695572,81148,-1,-1,262996,-1,-1,-1,-1,-1,190744,187632,-1,-1,-1,-1,468772,253920,14293,102950,457640,937069,739621,-1,838842,-1,347349,624518,-1,-1,574772,-1,-1,288491,976172,-1,489752,958747,120281,767649,874653,264638,-1,220275,425447,879813,605953,874486,285370,211688,202149,500587,218112,417926,-1,38679,282329,-1,-1,-1,-1,374453,576135,-1,123016,-1,-1,613536,-1,-1,-1,242188,-1,453459,-1,-1,311779,-1,-1,-1,-1,-1,489024,-1,-1,71155,-1,-1,-1,-1,611684,745475,-1,-1,-1,695265,250839,-1,-1,769801,329730,708959,839763,250037,-1,-1,-1,-1,264414,371010,-1,-1,322185,-1,102185,637603,448492,705479,618269,579736,-1,610294,-1,-1,-1,745889,392363,44570,-1,-1,-1,512272,714383,-1,-1,163676,-1,915957,529773,389263,405911,-1,986174,-1,-1,377446,-1,408956,-1,950926,103758,-1,348320,-1,-1,-1,492450,283461,255555,910446,-1,57718,-1,-1,-1,822753,-1,607565,-1,206147,802859,951297,365459,556282,684868,888850,-1,-1,670573,-1,471089,-1,1495,-1,-1,-1,924859,679778,374234,515814,-1,-1,-1,743097,-1,-1,-1,-1,503919,170155,129525,-1,452249,-1,295156,-1,409920,856594,917723,778058,75614,997014,-1,-1,-1,806551,-1,356911,-1,788113,920294,818888,-1,-1,412494,212541,606834,-1,424927,-1,735243,66264,-1,558828,-1,516253,974865,-1,746438,883320,973181,402776,434893,628448,713243,-1,-1,-1,-1,448062,-1,-1,630578,-1,-1,700737,168444,-1,707250,212485,842042,-1,-1,76518,138372,958109,-1,770404,917733,193556,934214,-1,-1,98414,-1,318146,54353,-1,898522,-1,322132,998580,-1,613304,592868,-1,-1,-1,-1,853441,546447,631652,-1,-1,-1,985069,290795,-1,178928,-1,-1,-1,-1,-1,611204,-1,609515,-1,616263,273181,-1,-1,343076,266497,-1,702853,688728,-1,-1,-1,-1,640387,-1,297739,839505,293508,424966,151111,-1,-1,138860,186954,171048,-1,616177,656004,-1,-1,776156,-1,122859,176816,-1,129814,-1,66855,-1,-1,154088,-1,605304,938678,-1,526941,-1,520172,732945,683435,172429,-1,-1,872336,-1,-1,-1,90284,353529,789226,789825,-1,-1,901210,-1,848639,581725,-1,737172,325399,276340,357992,-1,125132,-1,-1,-1,884496,974992,36372,-1,-1,-1,-1,16050,-1,987426,-1,-1,-1,-1,-1,-1,-1,289302,940205,647489,-1,933611,-1,-1,295081,-1,-1,-1,229419,-1,-1,-1,-1,473416,623664,31643,864768,-1,-1,313308,855872,596551,835916,-1,-1,299289,-1,-1,-1,511542,970744,944631,-1,-1,-1,-1,-1,380544,73087,-1,-1,858829,333091,-1,-1,-1,919721,241075,-1,-1,-1,538543,395567,402524,-1,748739,946029,329240,-1,508344,98244,-1,-1,566727,10994,598028,59124,-1,-1,-1,-1,412548,-1,-1,-1,734782,199735,583825,-1,-1,172546,-1,401576,-1,269278,979047,-1,-1,-1,-1,961133,-1,858227,-1,-1,-1,274129,-1,551974,-1,880817,-1,168960,-1,-1,-1,-1,734154,-1,340012,415975,-1,820974,943478,-1,502778,-1,518727,-1,-1,-1,-1,-1,482478,445936,195948,333090,855665,-1,-1,-1,773025,-1,-1,-1,436946,-1,241746,-1,87676,832664,384175,87957,736033,463335,76624,197784,-1,-1,-1,90968,-1,980967,-1,-1,-1,-1,-1,514069,264845,-1,-1,-1,952213,642036,691901,232503,-1,790190,998413,-1,219908,-1,360815,81652,814261,-1,-1,-1,529085,50667,-1,-1,651722,-1,-1,442085,-1,978402,677649,719720,-1,536740,-1,373004,73571,567875,99198,160400,168870,965380,-1,-1,-1,-1,702893,-1,-1,-1,509976,-1,55120,24222,-1,-1,-1,292215,481562,83287,-1,697311,-1,783560,-1,893310,133705,517524,-1,547738,-1,-1,-1,382317,-1,-1,617687,656934,-1,99037,-1,-1,-1,-1,181235,-1,-1,898054,980947,-1,-1,584221,953980,201254,173488,-1,-1,526849,155957,-1,-1,-1,331014,-1,582963,277361,-1,778741,-1,-1,498714,134465,283090,-1,-1,326758,362536,939303,221240,-1,-1,-1,129939,295683,412189,294677,998424,156730,-1,514762,583266,-1,275122,640522,-1,-1,576111,338592,-1,782185,896971,130832,-1,654122,-1,402495,-1,-1,153352,-1,259779,-1,-1,-1,-1,-1,-1,-1,383828,-1,824671,-1,-1,723701,793484,439001,-1,785739,963,-1,-1,-1,-1,997017,830426,-1,63539,708873,100661,-1,897127,541365,-1,-1,882598,-1,478377,-1,-1,-1,143950,-1,249733,-1,-1,865164,955669,925841,756944,-1,-1,484476,844763,776137,859948,894591,-1,-1,579897,-1,720893,63152,712176,-1,-1,-1,524131,-1,569962,-1,-1,-1,-1,-1,-1,314182,-1,478058,286881,-1,-1,-1,-1,286566,-1,112602,693087,-1,-1,122583,330888,-1,279696,-1,-1,-1,-1,-1,507019,-1,-1,463748,219242,-1,-1,-1,-1,-1,909665,752597,-1,830984,-1,120759,-1,-1,-1,-1,936456,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,890243,537810,964550,931861,165021,670887,-1,-1,-1,-1,-1,83499,189291,-1,-1,-1,-1,-1,-1,-1,406127,-1,-1,-1,598387,457624,-1,334241,107483,-1,-1,271100,110896,977340,-1,-1,544771,714679,719692,3600,558933,602880,350310,-1,-1,-1,154895,-1,-1,-1,-1,476193,122406,463431,858157,-1,-1,289728,-1,-1,-1,-1,57476,-1,602537,-1,434692,-1,-1,598089,783863,774985,-1,527957,-1,-1,653043,337522,272556,-1,-1,-1,-1,941203,17284,297222,332044,913121,739863,-1,602253,40811,-1,851654,821954,758733,152891,433648,849570,300330,589545,-1,735410,760125,-1,560470,432595,593764,856148,-1,-1,410829,331007,-1,-1,316348,573458,-1,-1,783031,-1,-1,426246,180862,861662,673033,-1,-1,381774,-1,-1,515791,323261,563656,-1,-1,879372,690734,-1,666199,-1,-1,700564,552764,-1,-1,325292,-1,-1,42427,357835,-1,303393,157077,342085,-1,662874,506664,-1,-1,-1,262852,-1,265341,382716,-1,637850,-1,871955,314621,177941,-1,-1,177856,288798,-1,-1,363563,-1,-1,-1,-1,99025,680156,-1,-1,659067,844591,-1,747682,-1,579069,496527,-1,96195,135313,-1,11053,-1,-1,-1,-1,492252,-1,659002,33065,-1,-1,-1,-1,-1,801898,-1,601300,-1,-1,-1,539136,128025,786479,306754,-1,-1,456856,-1,-1,-1,813606,-1,-1,-1,-1,-1,483141,101156,-1,-1,-1,-1,951952,48692,-1,412471,630219,-1,825867,160740,-1,541309,-1,-1,-1,367386,-1,483845,110853,-1,301700,-1,905681,-1,571754,29527,-1,461274,333787,-1,979843,410141,455837,319693,-1,170126,-1,-1,-1,103297,-1,192803,979445,-1,922657,1906,-1,339587,545675,942296,996253,-1,344223,121724,-1,-1,401575,-1,-1,984755,279300,370502,-1,-1,223783,-1,332322,-1,696191,413707,308456,77747,-1,516639,656483,-1,-1,440054,650489,217441,10260,-1,264975,705181,-1,-1,-1,414853,576923,337174,873681,917392,855408,-1,-1,370102,755176,854811,-1,-1,-1,937118,746565,-1,-1,-1,213057,297618,765331,-1,-1,-1,881470,-1,281134,-1,-1,475649,568278,467384,-1,388241,-1,-1,606082,-1,-1,871239,-1,861737,-1,-1,-1,683890,290283,-1,-1,538768,726686,597682,-1,-1,-1,17512,-1,-1,-1,855776,-1,343909,-1,-1,-1,-1,49187,-1,-1,-1,-1,839932,346492,-1,-1,544445,400254,-1,534700,-1,40367,396690,785413,919471,-1,787907,90463,475428,-1,-1,1610,146954,809971,-1,958630,-1,694278,522021,-1,-1,919769,-1,-1,-1,992802,132087,111081,160939,-1,83143,113520,514431,-1,353687,406562,-1,356094,-1,682803,-1,-1,-1,-1,-1,779455,95010,-1,-1,850287,-1,-1,465737,-1,-1,726558,18335,-1,483918,134110,15561,-1,719511,-1,-1,462969,431796,244482,-1,-1,378818,686570,-1,-1,360838,171039,784273,-1,-1,950543,525812,936941,-1,4205,-1,-1,-1,-1,-1,104247,909126,828029,529812,-1,-1,841557,-1,-1,-1,-1,-1,706870,-1,-1,774827,268161,128807,169262,-1,914409,876042,-1,272564,470176,-1,123014,305060,-1,625005,-1,868699,-1,-1,825389,-1,-1,-1,84430,-1,-1,-1,390287,582500,-1,-1,416027,-1,-1,-1,-1,-1,59643,-1,594422,-1,407628,3654,415705,-1,-1,224314,620243,742398,86904,-1,334454,308437,901695,-1,-1,-1,524324,181646,-1,-1,-1,936746,-1,822448,-1,149671,784699,-1,541163,369179,769785,-1,114712,288465,787480,-1,17770,404595,726403,964376,-1,-1,476894,85775,864135,-1,-1,634108,611806,-1,323277,-1,34673,-1,-1,-1,-1,-1,352857,53306,828951,970218,630416,554180,-1,866971,-1,-1,408322,-1,345868,-1,610385,-1,-1,-1,589331,691746,-1,451525,-1,-1,-1,597120,431885,511176,742403,395045,-1,900835,126789,-1,-1,-1,-1,455082,46648,-1,157556,837718,935458,-1,611299,732880,912547,657596,463784,-1,-1,-1,998557,192714,7583,-1,-1,-1,804113,715048,118346,589862,875879,-1,-1,-1,-1,344139,733290,419169,681730,167936,473793,50017,53197,-1,-1,731202,-1,420581,-1,511822,-1,976680,121104,592792,-1,-1,249757,-1,895629,174715,279159,511013,-1,-1,6344,-1,843530,681128,401437,-1,533803,-1,-1,116497,772944,-1,-1,-1,78687,673746,-1,647383,583202,-1,942762,-1,-1,-1,640665,894388,-1,-1,263643,-1,363413,541917,364181,-1,-1,436491,736263,837328,997741,-1,550867,-1,115082,704157,-1,992621,-1,-1,208440,-1,-1,874961,562370,-1,-1,749186,462128,726013,166828,648094,-1,-1,-1,-1,905177,-1,-1,69921,894764,553026,828949,574850,215911,-1,303516,53961,-1,-1,-1,45440,-1,778282,718283,186465,748131,465780,995722,89305,91487,-1,-1,798717,-1,705851,-1,123919,-1,-1,-1,-1,-1,-1,-1,133564,555952,298986,184387,595978,1522,108958,392349,582420,883680,262925,-1,-1,286755,238900,759182,864586,951194,-1,-1,835854,-1,702209,-1,404894,-1,-1,-1,314519,779482,207738,668600,960947,-1,634662,-1,731736,-1,174391,-1,-1,407574,-1,562063,-1,315928,950405,248005,-1,796750,-1,-1,-1,-1,33299,826211,-1,-1,438032,511956,384287,295848,-1,-1,502023,-1,688678,643580,275489,328564,596790,557296,-1,-1,276963,-1,635896,-1,597719,142153,603890,245465,984660,544561,-1,151961,411371,690493,703956,181626,-1,311149,-1,-1,281294,-1,-1,622557,-1,453656,21541,-1,-1,932592,-1,-1,463094,525346,-1,-1,158147,-1,626371,-1,543006,-1,-1,-1,811584,-1,-1,-1,671577,292728,-1,256150,29471,-1,-1,-1,483003,916552,192009,631841,424709,-1,700475,-1,485993,-1,44477,-1,-1,965471,-1,375005,-1,-1,-1,128700,-1,383979,-1,784731,558211,-1,451594,-1,2812,348302,-1,-1,108789,914388,-1,-1,-1,-1,236382,937299,374887,341237,-1,729026,761151,-1,-1,514312,-1,-1,296978,710920,-1,117764,-1,84339,-1,79004,-1,188463,290538,-1,995456,75463,335574,111096,-1,779178,-1,-1,366526,455021,-1,23546,378370,868958,-1,24463,-1,87398,727348,922853,809883,-1,559014,-1,-1,145540,-1,-1,-1,-1,370322,914424,711995,899728,295255,-1,-1,-1,341664,-1,-1,-1,802917,-1,795961,-1,300560,-1,583919,-1,91133,-1,-1,-1,-1,-1,-1,325097,818952,368784,27095,371540,-1,428658,-1,433261,-1,-1,-1,270898,615280,-1,634074,429259,632120,-1,-1,-1,-1,-1,76673,964636,-1,-1,964658,-1,-1,209069,358010,324291,636244,-1,700717,583461,780161,-1,346486,604265,68586,22832,-1,899027,-1,293530,710192,280799,-1,-1,615034,-1,149488,-1,293268,-1,985268,15560,770746,-1,-1,445409,-1,38680,-1,-1,-1,-1,-1,403667,208987,9677,175433,-1,-1,593693,-1,-1,581656,-1,530142,886016,-1,727140,260803,609556,537328,380299,-1,-1,441410,-1,-1,707567,-1,241877,184427,-1,-1,-1,-1,-1,562986,9831,-1,-1,50166,-1,-1,46644,886094,-1,-1,-1,603043,32486,174012,-1,-1,-1,128074,181971,607142,757271,420675,-1,-1,-1,-1,-1,718171,-1,876358,-1,-1,-1,-1,-1,-1,440068,-1,-1,386271,-1,-1,658092,242393,652377,-1,957993,57808,-1,576894,-1,-1,-1,500082,-1,756312,-1,569358,885722,531864,-1,-1,-1,-1,935897,412642,-1,-1,-1,-1,302548,960646,792415,24160,-1,645661,996913,-1,-1,752456,-1,-1,305507,466949,-1,-1,-1,166479,985536,-1,558376,407951,-1,-1,729610,-1,909697,614026,-1,-1,-1,911757,-1,220640,288385,823710,-1,-1,398304,286746,136107,85021,-1,583010,842035,-1,849862,206131,155596,863386,501244,633303,258495,879487,-1,841936,-1,-1,-1,-1,-1,-1,-1,-1,757867,908680,-1,40590,212124,840249,-1,149619,106580,275685,179706,772856,557770,-1,-1,721209,-1,-1,326749,15407,25655,962964,727085,16228,337968,-1,982494,740625,-1,482965,296415,883276,93907,-1,-1,-1,-1,724677,-1,-1,431986,570882,315505,-1,-1,493898,383916,41329,-1,-1,-1,188771,771637,111706,-1,-1,484102,246848,78298,454620,-1,242475,169955,726007,713504,-1,-1,-1,196648,564228,-1,-1,-1,-1,321310,-1,189607,200055,-1,-1,660550,970112,482548,363995,-1,-1,-1,301225,743296,886222,694557,918082,-1,-1,-1,-1,810409,509311,-1,309803,-1,204306,-1,-1,418033,-1,953280,531732,-1,-1,-1,-1,-1,-1,954345,-1,-1,-1,601369,-1,628818,397711,469357,-1,386304,-1,-1,589549,217564,271959,-1,531069,-1,-1,183310,330982,-1,530686,-1,443291,-1,119689,-1,-1,130547,-1,841977,-1,-1,-1,-1,777309,603669,-1,895385,-1,753665,21032,435347,754924,551136,49423,-1,-1,-1,532380,495433,-1,-1,-1,-1,-1,883471,-1,740271,-1,320846,354205,257078,-1,-1,-1,14093,350412,723583,224951,750750,-1,-1,352388,-1,993111,286768,578308,-1,269466,-1,-1,-1,-1,20069,144058,-1,982982,101476,746423,-1,178727,-1,-1,304854,349811,-1,-1,-1,951001,-1,387018,790199,-1,899292,-1,904185,851954,-1,281653,-1,984411,-1,-1,173052,856601,-1,-1,-1,-1,852708,-1,-1,28396,850464,980363,440013,907983,966509,-1,-1,630257,-1,94747,-1,-1,-1,257744,865603,479863,96561,318905,39404,117207,-1,-1,917198,725789,-1,-1,-1,180203,928136,383682,320602,949490,-1,-1,-1,610629,-1,673632,-1,-1,46987,-1,-1,-1,203675,130217,484251,-1,-1,203220,218883,-1,125609,-1,-1,-1,-1,-1,-1,-1,294830,56986,-1,867238,828647,770992,593218,-1,345936,510894,263435,232285,315363,252920,-1,-1,-1,516411,305569,-1,858357,-1,736656,489148,-1,-1,372467,-1,267186,491292,-1,392199,101761,-1,-1,274048,-1,-1,-1,-1,-1,235199,-1,-1,-1,-1,397664,897684,-1,89033,173469,-1,894032,153794,185075,430315,-1,-1,898591,955516,-1,-1,-1,449877,24592,124290,291750,375408,98320,-1,999433,-1,-1,-1,-1,936348,153948,888520,-1,387531,-1,-1,-1,-1,422977,-1,160118,78393,946085,657077,640241,-1,-1,-1,-1,19556,138367,476292,-1,655922,-1,587060,606682,182341,-1,-1,-1,31720,171369,-1,75913,962044,910802,-1,-1,-1,984100,-1,-1,-1,-1,81288,875092,834231,-1,-1,-1,351445,856517,-1,-1,861280,187598,514388,16212,258085,-1,-1,-1,-1,-1,482726,-1,-1,-1,-1,-1,-1,725871,-1,-1,-1,610472,-1,635776,231137,273064,729900,799569,-1,-1,-1,-1,631626,-1,286460,-1,-1,48312,774589,-1,476916,177321,-1,809472,-1,651342,205906,917211,-1,-1,-1,-1,405742,-1,-1,-1,-1,357810,-1,-1,-1,569430,353859,-1,-1,187758,874643,725912,-1,-1,875039,605294,-1,-1,-1,-1,-1,489153,-1,-1,491957,499887,860074,896768,438749,159700,-1,-1,-1,713609,-1,917280,888356,117564,588239,258623,118353,827171,-1,905103,140097,382107,-1,164788,-1,549784,-1,592526,453713,777200,-1,-1,152362,434491,790281,468742,553302,885893,403137,797005,269019,256157,837918,605621,368564,418179,-1,-1,-1,244821,-1,163377,-1,611966,202153,853622,759015,-1,368214,-1,-1,-1,-1,504018,-1,709328,-1,713765,-1,-1,-1,310979,379376,-1,-1,988824,-1,639841,922499,-1,421571,505818,30308,-1,-1,295539,-1,-1,709295,249852,738383,469438,97242,-1,-1,915701,117769,874826,174449,695042,257893,-1,63817,496599,-1,-1,111740,1549,454225,-1,307927,-1,636498,114926,-1,-1,-1,225384,372716,-1,136322,-1,-1,340912,-1,118162,-1,265363,928933,389404,15508,-1,-1,321976,-1,30018,-1,534844,-1,446032,-1,124934,656431,822547,-1,214812,113734,-1,223646,817544,980991,-1,-1,919870,-1,-1,699249,-1,47886,798230,-1,-1,321486,-1,514160,-1,331351,-1,712186,-1,-1,-1,-1,357809,747714,510461,-1,987476,477950,697810,450983,88328,486714,206312,-1,-1,234182,394908,-1,-1,-1,628912,-1,-1,-1,-1,-1,16320,141767,442410,170809,403429,601174,825559,540496,-1,887969,-1,-1,-1,447852,262717,329122,152496,-1,234405,491513,308566,-1,835533,-1,232477,884828,67420,-1,-1,988229,-1,-1,736724,862232,-1,643792,519548,780804,789438,-1,986256,507455,40210,-1,55700,-1,-1,-1,-1,665018,-1,-1,-1,-1,832760,746705,967514,-1,-1,187618,-1,-1,-1,-1,-1,-1,-1,784622,-1,395230,143773,363863,281890,607513,175902,-1,152915,740016,-1,-1,559560,-1,972112,234280,874572,45580,361101,272626,-1,472708,-1,417484,806504,-1,-1,-1,590514,-1,711333,-1,502430,950156,-1,-1,-1,-1,313250,-1,-1,12143,585670,-1,-1,595523,842290,110868,161765,-1,-1,-1,234059,585263,555249,-1,353676,-1,649206,-1,523098,410004,592714,848410,-1,900444,-1,-1,-1,469766,-1,299623,355974,-1,603363,594973,-1,965890,-1,198595,-1,-1,390806,-1,536264,-1,246362,-1,-1,674193,111378,-1,440451,211937,253044,915518,391387,-1,-1,314321,-1,702342,429507,-1,-1,12984,184616,-1,-1,173629,-1,-1,-1,-1,555013,365969,-1,563472,-1,-1,949441,-1,84737,-1,-1,501354,-1,545412,710918,537949,4425,454577,-1,-1,-1,949574,-1,724132,-1,560840,161890,-1,-1,-1,-1,-1,-1,308865,529938,-1,-1,-1,256988,413239,551842,-1,439178,246509,262341,-1,-1,416160,350006,43196,-1,231918,-1,-1,-1,546299,-1,83390,717292,-1,228076,268555,-1,863182,598866,-1,117660,617592,-1,787288,-1,582893,48623,-1,291520,77880,-1,-1,148735,-1,35527,942179,722597,745802,-1,-1,104852,-1,991588,13228,642712,-1,43883,818733,991509,976688,590687,558627,-1,-1,143364,-1,-1,705858,761504,-1,-1,-1,-1,530073,-1,-1,682853,524489,167199,695409,-1,-1,-1,16143,-1,-1,-1,-1,-1,776386,-1,-1,424185,270921,-1,238328,369567,-1,-1,523669,-1,-1,936336,-1,-1,-1,263338,421587,-1,-1,-1,-1,-1,264916,-1,-1,-1,20176,-1,-1,-1,-1,-1,733130,881640,822106,413564,668564,846449,781443,778535,-1,-1,-1,243184,759048,159503,310072,-1,86773,-1,-1,203115,-1,156138,-1,894038,-1,570840,-1,-1,764634,-1,-1,109016,-1,975122,554040,174903,710810,-1,130535,870472,265276,154161,-1,-1,768159,-1,-1,-1,186819,-1,551396,605887,401144,-1,648764,-1,542778,-1,635025,554074,-1,364585,264218,-1,-1,466300,608959,163950,-1,531481,-1,317152,-1,963728,789469,609325,-1,44546,382307,704983,508706,-1,747665,-1,311478,-1,-1,281110,-1,688400,-1,-1,-1,925819,350033,141604,975286,133966,-1,-1,-1,504706,-1,-1,40903,-1,114401,393398,564629,-1,281668,-1,-1,-1,-1,-1,-1,-1,-1,679606,-1,487238,497973,764130,-1,-1,750454,486411,565762,812255,863585,504717,-1,697805,-1,-1,-1,-1,498632,-1,-1,141411,-1,737177,955188,611699,57668,-1,-1,470025,905171,-1,-1,589535,759602,966841,-1,-1,935595,-1,355306,761438,897502,-1,93250,-1,-1,-1,-1,61207,412077,973226,509468,158323,-1,624311,-1,154756,644955,-1,-1,108773,-1,982057,100493,-1,-1,883648,-1,-1,-1,-1,702263,782798,-1,260406,-1,-1,662077,579790,-1,44761,262889,-1,-1,649184,152267,759814,65152,-1,-1,-1,200308,83873,580209,526352,176437,-1,971984,388208,325294,-1,-1,547806,535385,819548,-1,-1,-1,-1,243861,635457,583805,836189,556535,550786,-1,304916,-1,-1,-1,797485,797117,-1,55349,-1,627631,-1,-1,456153,-1,980282,136867,756733,116408,547593,867835,-1,-1,546833,619152,-1,367513,-1,165916,55371,343451,554316,-1,617245,-1,-1,553300,599340,89713,-1,7788,-1,755020,444905,599803,-1,-1,-1,566192,-1,-1,181369,-1,509205,-1,841222,250497,-1,149726,74520,498318,-1,-1,804435,-1,-1,990293,-1,542912,-1,-1,909705,-1,-1,-1,946122,-1,66544,936490,594358,-1,781576,-1,996170,241873,-1,-1,-1,-1,-1,-1,-1,-1,-1,333711,756827,-1,442984,-1,-1,-1,-1,192431,606305,-1,-1,697030,298202,838115,-1,-1,741155,-1,-1,236911,-1,567184,714100,-1,-1,602088,333870,841374,997305,549969,-1,405836,538848,-1,585866,655610,270127,475767,-1,309100,540996,-1,808371,62342,-1,839264,573048,785178,190462,-1,880146,-1,-1,824153,579117,936575,-1,29589,-1,-1,591045,248339,-1,-1,-1,-1,-1,94001,793015,-1,-1,-1,566946,373504,116540,-1,-1,-1,726518,139078,-1,-1,-1,798130,530868,-1,24274,780206,325647,-1,-1,-1,-1,-1,870731,-1,517255,-1,143736,415616,787048,894369,-1,-1,93731,-1,27792,111502,700298,-1,176481,-1,463259,567172,714728,-1,858004,-1,-1,-1,-1,-1,-1,760618,889665,-1,-1,-1,-1,-1,-1,-1,25019,-1,409296,-1,-1,686947,627361,-1,27542,-1,-1,-1,-1,175850,381252,541779,266313,-1,-1,-1,766372,-1,783065,-1,837728,-1,916496,32525,491320,-1,-1,-1,979441,-1,-1,59551,-1,-1,-1,-1,-1,-1,613205,856874,816244,676624,-1,-1,186004,-1,139029,-1,851089,985290,-1,286137,744910,-1,348504,-1,129437,-1,-1,824193,471863,-1,-1,97664,129766,970659,906613,628190,235526,-1,950208,-1,379283,468735,-1,261616,-1,-1,-1,516609,-1,-1,728562,-1,-1,-1,240223,679361,206669,-1,31694,-1,913498,87402,-1,-1,205389,745903,327946,40935,327550,708760,67702,-1,-1,-1,326581,-1,-1,-1,901033,-1,-1,-1,141292,450157,914731,-1,437019,-1,-1,403314,-1,-1,69340,-1,786268,-1,328614,234997,899240,504222,-1,191117,-1,-1,485089,-1,-1,-1,581492,314285,799927,981244,100449,-1,-1,773641,-1,-1,-1,-1,566089,976070,-1,-1,-1,-1,773539,-1,-1,947833,369821,-1,679342,-1,108978,175836,934524,-1,-1,62135,-1,-1,187486,-1,-1,-1,-1,819506,58078,156411,90496,-1,840927,444751,-1,951527,915735,588956,-1,-1,671546,-1,644342,-1,-1,-1,-1,-1,438157,-1,957958,95314,-1,-1,747976,136200,-1,-1,-1,-1,-1,300682,923053,-1,324746,544845,359249,45406,489878,-1,600556,405567,-1,742089,-1,934551,-1,-1,-1,-1,-1,612683,312130,615312,947531,460196,196287,-1,-1,520864,-1,-1,770227,376408,348386,-1,549451,-1,-1,735982,-1,282217,779180,621411,188748,-1,360807,-1,261654,384888,118171,351597,733567,-1,-1,907310,-1,827302,343384,-1,-1,-1,-1,-1,-1,-1,-1,398628,-1,-1,592360,-1,-1,413252,427893,227908,835963,990438,92318,323562,203823,-1,422689,-1,774869,-1,-1,-1,-1,439692,317215,-1,348488,97414,788353,346734,-1,-1,-1,348807,417510,-1,-1,96132,764598,679520,-1,235070,900130,-1,-1,-1,-1,18277,691774,-1,402188,-1,-1,-1,-1,852920,788689,30196,905412,-1,610051,302804,210296,341322,-1,-1,-1,-1,203959,-1,290721,992737,275941,23162,-1,-1,686285,-1,403474,-1,-1,253568,-1,-1,-1,-1,404209,-1,517379,-1,883811,-1,771390,319965,293023,641430,-1,126351,341863,-1,90955,662037,720675,-1,948644,-1,519320,-1,-1,467698,151359,-1,-1,412356,-1,526759,564900,-1,927793,332796,297100,37117,-1,-1,-1,569534,252325,-1,619042,771759,902136,373796,406807,520767,319514,917036,858033,779360,376159,-1,-1,-1,-1,-1,123398,-1,-1,-1,-1,-1,20867,-1,211254,-1,995989,302659,-1,-1,182754,350624,816138,767970,703825,-1,-1,423852,-1,101398,-1,-1,-1,874518,-1,-1,391911,909220,863925,-1,456187,-1,733268,-1,393838,-1,877643,-1,77098,337404,520928,946101,-1,-1,-1,390531,794664,566883,-1,-1,-1,207727,259264,144465,-1,-1,-1,661573,92140,-1,-1,577773,-1,-1,-1,569953,693313,-1,-1,436101,-1,-1,469579,-1,-1,144875,892519,-1,-1,70445,315489,916108,-1,204314,-1,-1,702571,956739,152767,-1,828046,789359,-1,-1,-1,433044,-1,507580,-1,594712,-1,429809,-1,860715,513442,773547,-1,515214,-1,586023,-1,928314,-1,-1,-1,398177,842441,424073,42353,491144,760882,851893,672193,399046,-1,-1,295800,-1,551704,-1,549497,-1,969654,-1,775772,-1,852474,274419,684290,668693,730300,-1,-1,-1,739550,-1,287890,-1,140896,-1,530070,681313,433724,-1,-1,446944,-1,850851,-1,351197,-1,758407,-1,-1,-1,-1,479203,-1,666978,239651,-1,-1,116244,108908,204607,-1,244088,228638,-1,-1,329512,-1,-1,586294,-1,-1,429814,-1,-1,-1,-1,-1,226672,164452,954679,-1,357370,142996,884987,-1,-1,112930,558160,922976,569252,-1,152657,-1,-1,953081,606952,885502,763010,-1,682546,-1,-1,862077,982286,890539,416184,40221,837401,716983,-1,-1,-1,111016,966683,-1,384542,788683,326494,701993,758924,928904,-1,-1,964454,-1,863436,858230,-1,-1,-1,-1,507946,-1,-1,834445,-1,660307,622002,229422,-1,-1,919168,-1,365178,190127,-1,397410,665414,-1,-1,-1,896240,-1,-1,634300,731610,542515,-1,-1,981787,848100,609481,562883,-1,-1,695561,808205,399208,-1,147320,-1,577361,-1,907610,-1,-1,-1,-1,52803,-1,-1,-1,470380,-1,-1,46028,339536,-1,691347,884358,704222,-1,-1,401766,608491,-1,-1,-1,-1,328331,763551,-1,134637,-1,438993,811738,-1,-1,506055,-1,-1,654761,18159,-1,-1,-1,478039,-1,-1,-1,445068,943669,-1,-1,292468,417031,830846,-1,-1,592821,73239,-1,-1,-1,-1,-1,-1,627469,-1,-1,873175,319930,69858,441816,-1,292456,707237,784039,65158,-1,-1,896855,182969,-1,418042,-1,-1,-1,-1,-1,295180,-1,-1,-1,515227,243835,637319,550900,-1,-1,117383,-1,84153,587091,-1,384357,324014,-1,-1,-1,-1,-1,100861,547727,-1,-1,-1,-1,-1,554191,-1,-1,-1,961699,-1,128148,588250,-1,-1,-1,231025,-1,291637,-1,873647,-1,849128,-1,508083,-1,-1,804931,490329,-1,-1,-1,895335,-1,-1,135728,-1,97259,-1,-1,-1,-1,-1,-1,-1,-1,-1,30921,296441,-1,221752,-1,-1,380018,-1,420063,-1,306686,520488,-1,640472,232554,776789,345550,413506,-1,-1,-1,-1,144472,-1,-1,551086,-1,527638,531824,-1,359287,138527,-1,-1,571271,188962,-1,-1,-1,620041,151933,811724,662136,-1,412870,-1,-1,369009,-1,-1,130137,106050,298728,-1,139591,87137,-1,-1,269499,703259,466397,-1,-1,-1,-1,-1,554730,-1,869975,-1,-1,798490,755938,-1,917698,317867,778168,-1,32995,90861,945481,-1,-1,867764,280581,64677,-1,-1,-1,542114,-1,-1,-1,5619,-1,385830,-1,-1,-1,931678,553853,527087,759612,-1,-1,73675,331641,609097,933967,-1,-1,-1,927326,-1,532051,600666,933598,-1,924502,-1,874861,901871,-1,550112,117890,-1,319635,-1,-1,-1,-1,-1,-1,586980,-1,692188,-1,-1,-1,295956,655454,137272,170022,-1,-1,397087,-1,539698,963757,-1,353956,924710,285979,-1,-1,-1,-1,679417,-1,-1,-1,334416,82001,-1,-1,-1,5194,477629,290474,-1,502151,267249,-1,-1,105893,-1,996239,972993,842196,979514,640833,-1,-1,-1,147834,871847,-1,-1,-1,-1,845673,-1,608323,-1,828717,162834,-1,223358,-1,494194,798046,135256,145138,-1,915705,-1,613829,-1,-1,904708,-1,469464,-1,653560,610831,944089,573176,-1,-1,-1,476401,-1,728951,640881,-1,984548,34980,5743,81172,921756,514118,-1,827957,-1,-1,-1,-1,-1,-1,-1,-1,186127,-1,93102,-1,-1,-1,220174,-1,255801,473894,304887,577712,897627,677780,207410,-1,-1,727778,-1,840624,290036,-1,31747,-1,-1,-1,753040,407000,733590,-1,-1,-1,631423,511462,878474,-1,291453,751447,-1,384193,414199,486241,-1,959238,623845,355580,949042,-1,-1,998125,-1,-1,939463,-1,227357,234155,-1,-1,-1,959347,-1,-1,377747,-1,-1,-1,-1,775143,-1,752201,33356,-1,19270,897886,633755,164083,582467,849268,-1,403441,-1,-1,-1,195599,924560,-1,559552,60171,587945,149165,388221,-1,-1,597489,732084,-1,-1,-1,-1,-1,34441,-1,-1,-1,-1,276541,-1,-1,-1,975729,46038,381717,882855,-1,-1,-1,356588,-1,-1,22416,-1,682085,97722,-1,-1,480144,759729,185900,192443,126297,551491,-1,-1,764804,-1,-1,-1,-1,705398,-1,938205,425398,597646,-1,427072,-1,287066,842041,-1,71858,691020,972956,486545,-1,435531,-1,178978,75188,-1,144417,161104,860186,-1,-1,15525,68032,30727,525447,-1,888988,-1,-1,155319,977534,-1,-1,867274,-1,-1,350957,921909,246697,119111,965851,779596,681286,256957,-1,658098,500124,565069,-1,-1,-1,207734,-1,207724,376345,-1,-1,-1,-1,-1,312364,-1,104311,-1,216974,-1,-1,-1,-1,193048,-1,-1,607947,-1,127179,812803,371890,948194,-1,-1,-1,70811,155737,852136,708676,391429,-1,378237,559831,8175,715769,70726,-1,-1,-1,253545,712891,417617,-1,-1,-1,-1,634490,339155,-1,940591,-1,-1,773408,-1,604057,-1,-1,-1,-1,-1,-1,-1,986255,594183,-1,120687,693642,766544,-1,-1,-1,806632,839010,-1,489368,-1,-1,842514,-1,-1,125285,-1,403231,-1,723110,-1,-1,980553,-1,21179,-1,521195,-1,956996,-1,53078,888395,804530,136633,-1,787377,-1,-1,847000,-1,520149,-1,924330,-1,649715,920517,697672,-1,-1,182586,-1,-1,-1,-1,-1,-1,676272,-1,-1,-1,90294,-1,425022,-1,-1,121251,448411,878484,618988,-1,557564,-1,547264,806782,-1,-1,904013,-1,805910,-1,36986,-1,73545,491946,-1,754605,-1,-1,-1,-1,185176,311762,339907,-1,-1,-1,-1,-1,-1,-1,-1,605569,-1,-1,-1,664769,-1,568019,-1,969412,-1,757135,455873,518399,-1,389862,-1,863700,345060,40587,-1,-1,428186,-1,270295,172783,283453,832305,-1,-1,710387,-1,445101,529170,801629,13126,-1,798025,113360,708068,835544,88475,437650,-1,-1,-1,-1,619090,-1,-1,93277,-1,424117,-1,-1,640577,367405,-1,44651,-1,-1,815401,-1,139130,-1,792534,-1,-1,-1,58760,-1,-1,-1,-1,-1,826218,-1,240874,-1,426553,591630,-1,-1,-1,56597,-1,419017,480621,638922,335272,-1,818342,326944,208067,-1,-1,161845,-1,-1,253027,-1,-1,248666,-1,-1,351189,-1,706628,-1,-1,-1,-1,773206,590159,845358,-1,-1,-1,-1,-1,544226,835967,627947,-1,490592,877190,555065,-1,292151,601835,-1,668071,291387,-1,-1,-1,-1,893713,501175,29732,128612,285542,184973,-1,917762,512330,-1,-1,-1,968464,-1,538433,-1,-1,-1,-1,710155,-1,835351,402534,-1,-1,-1,182417,466553,-1,-1,-1,-1,263106,-1,503497,-1,278833,-1,-1,838551,534606,-1,-1,619223,509062,-1,-1,728272,-1,-1,-1,-1,-1,-1,842737,-1,865519,-1,-1,-1,259591,-1,-1,902381,-1,304311,152084,-1,320725,-1,-1,-1,-1,-1,628837,-1,-1,-1,-1,862328,976166,973178,795548,604209,496450,139362,717082,337475,871326,-1,72736,-1,253981,558120,-1,-1,-1,38537,-1,194638,-1,-1,-1,209878,-1,694569,-1,-1,797395,-1,-1,-1,657315,-1,-1,-1,-1,157103,835113,-1,635550,197527,-1,-1,674978,-1,502368,-1,-1,-1,593708,-1,612486,704398,-1,175724,-1,426498,-1,697530,203207,-1,158591,-1,223469,-1,372420,903922,187033,667512,-1,748401,62595,-1,-1,-1,-1,-1,-1,341307,389387,-1,231588,567410,135736,-1,-1,-1,-1,925263,-1,-1,-1,657678,-1,-1,626982,-1,-1,874808,-1,-1,-1,75968,62291,-1,-1,-1,236741,-1,196072,-1,69475,-1,430462,-1,-1,489879,685944,30482,42548,546547,663405,137156,780177,-1,27166,-1,-1,618471,-1,533409,982899,-1,765299,3940,-1,192210,339917,580667,169079,542238,-1,-1,-1,-1,-1,-1,634065,-1,886042,-1,412154,-1,892347,-1,325524,765350,776819,689281,-1,-1,-1,567148,987461,-1,-1,-1,-1,-1,-1,889241,-1,911413,866074,-1,295112,-1,303967,144221,-1,-1,248314,-1,859124,-1,-1,517768,119077,-1,-1,451570,601595,861684,760663,533267,41297,928767,-1,779507,860837,969318,-1,148082,-1,-1,-1,730807,-1,-1,-1,-1,593899,-1,984607,-1,644480,984576,-1,563638,-1,-1,797122,564431,-1,-1,944342,723606,816558,-1,258298,-1,63271,97625,-1,-1,-1,441945,-1,-1,-1,775710,576244,57561,-1,-1,353030,-1,-1,300164,603557,-1,477993,-1,-1,61136,873388,-1,-1,-1,812696,261407,-1,-1,-1,-1,-1,789669,-1,-1,-1,-1,943703,-1,-1,295614,-1,-1,-1,481735,-1,-1,-1,-1,-1,-1,-1,355494,-1,-1,-1,-1,185424,-1,668275,698507,-1,-1,-1,-1,53461,-1,-1,839608,-1,126646,-1,-1,-1,-1,-1,218984,-1,399405,-1,-1,-1,219223,-1,992898,-1,541097,893482,421203,210074,339000,-1,-1,38645,-1,-1,-1,-1,-1,-1,98959,-1,32347,27216,67904,-1,-1,893421,856647,269979,-1,-1,530548,-1,250156,513695,684294,-1,899441,296976,720205,-1,488478,214910,-1,-1,-1,-1,778008,-1,72571,-1,761356,-1,360735,-1,-1,234876,-1,-1,-1,-1,-1,470696,621274,89310,-1,207994,345634,374962,890259,859688,849486,573027,-1,849848,232264,287547,327817,139276,-1,-1,-1,919366,288954,-1,927330,-1,-1,-1,897236,858881,-1,850539,-1,-1,-1,-1,-1,-1,875969,-1,-1,861272,-1,154012,-1,-1,-1,715511,-1,-1,119953,509282,593348,313863,378558,-1,-1,404377,822485,-1,926321,-1,-1,-1,257205,833975,750315,-1,-1,161607,-1,311150,834741,-1,-1,-1,752417,-1,-1,-1,-1,-1,-1,174866,232122,916948,482936,82733,-1,-1,504307,722245,120980,862572,-1,-1,608252,836724,28488,-1,-1,77047,493544,-1,-1,264592,-1,469191,502630,-1,476363,-1,274158,-1,-1,269920,240,640687,805092,-1,-1,452568,287663,920299,757374,879650,649908,-1,121933,582605,-1,-1,80213,384186,75220,142208,714055,360472,-1,-1,615337,-1,447341,-1,-1,-1,435548,-1,90240,49031,737412,972038,883924,560008,509159,614736,943859,-1,416266,515052,201221,267309,689253,346125,-1,-1,-1,-1,-1,342358,371208,-1,173155,770646,-1,-1,-1,-1,-1,774221,348391,880547,-1,217974,-1,-1,-1,-1,-1,-1,-1,675684,-1,641539,10615,636703,-1,81218,253356,164986,-1,-1,468830,294850,-1,142119,-1,576278,277101,-1,502058,-1,-1,-1,748978,-1,451815,-1,-1,-1,-1,-1,-1,471491,927366,-1,-1,-1,174549,327993,748312,310317,-1,-1,-1,534706,-1,587845,346694,-1,460951,-1,-1,256581,-1,-1,525688,45848,-1,979461,-1,902862,-1,492696,-1,-1,670076,909531,-1,-1,465189,-1,119293,639815,-1,-1,17742,-1,-1,-1,25487,-1,-1,735314,-1,-1,811376,-1,269708,-1,-1,544365,-1,735832,-1,-1,498487,526728,891914,-1,-1,-1,820821,291957,468809,-1,600060,-1,-1,131146,-1,231769,671778,472353,185079,-1,470747,543949,879395,-1,736408,-1,-1,325129,604219,-1,-1,425198,-1,-1,512292,473383,566851,202918,954366,718114,-1,676818,151319,758226,761843,-1,-1,890452,-1,21692,869874,-1,-1,210800,524323,-1,820023,-1,504,73913,-1,626314,137748,900227,612802,351200,84987,556531,-1,284760,214881,-1,451074,-1,20908,-1,-1,-1,-1,115173,-1,-1,96025,-1,560437,221051,-1,-1,976573,374752,-1,-1,428792,944349,598717,-1,-1,-1,-1,-1,-1,87918,623033,-1,868644,116144,-1,533428,-1,458097,233676,428053,914480,-1,343418,-1,-1,-1,75347,437040,-1,873961,-1,914913,780454,489100,-1,744776,-1,173139,282701,-1,18749,966826,-1,-1,548151,-1,835832,630650,481865,789061,-1,212032,-1,426269,-1,-1,878693,-1,409644,125626,-1,-1,218622,-1,-1,608773,50175,-1,656556,-1,743762,388672,858537,-1,954379,-1,-1,810332,-1,-1,134285,492651,-1,-1,71832,-1,499779,777119,217757,508047,52598,-1,-1,-1,297279,-1,182506,430693,-1,751168,413513,-1,284602,700558,-1,-1,-1,-1,-1,-1,-1,406625,966779,578932,-1,13746,-1,66490,-1,-1,60759,-1,-1,-1,721456,-1,-1,-1,393710,916223,-1,-1,-1,-1,-1,-1,-1,-1,-1,403246,-1,328252,631448,186870,845407,-1,-1,719392,-1,634499,-1,-1,266386,629253,-1,-1,23978,-1,419647,278428,-1,-1,-1,-1,813234,-1,-1,-1,536447,-1,-1,-1,690677,-1,546241,-1,-1,671515,795598,872459,-1,-1,-1,-1,-1,-1,719230,-1,142416,-1,-1,440261,582114,274751,162095,728274,-1,452549,415120,304368,362126,500788,719111,-1,202604,7926,411670,501893,985383,-1,-1,-1,877609,501607,20677,-1,-1,-1,319756,-1,645776,-1,894041,587939,-1,972062,498605,-1,337838,145898,483734,-1,-1,686607,872664,-1,-1,914007,-1,365151,-1,-1,-1,-1,-1,-1,777313,-1,997246,-1,192017,524233,-1,659103,765740,498592,959497,-1,-1,-1,904269,-1,-1,923423,942471,-1,-1,-1,512646,-1,705554,331947,449063,663754,-1,702778,-1,256884,-1,923586,115992,51095,-1,-1,-1,-1,-1,-1,839356,-1,-1,-1,847312,-1,-1,-1,98066,119343,-1,732454,82389,-1,-1,621660,677154,-1,-1,303213,218090,-1,638074,-1,-1,-1,873198,-1,482109,407472,929622,-1,-1,-1,-1,491677,755730,-1,230498,493940,752705,620219,893840,-1,233592,-1,772534,478033,904731,902435,343096,-1,-1,-1,-1,-1,-1,128407,-1,-1,-1,-1,-1,349146,-1,828057,507812,-1,431752,317213,-1,606387,-1,993369,-1,-1,349872,-1,-1,-1,911529,-1,-1,187531,-1,362175,377255,391359,-1,-1,358274,-1,-1,692769,795631,834120,862915,865401,228653,425719,407080,-1,207070,-1,-1,-1,620697,11565,-1,-1,483007,484122,-1,213914,-1,-1,-1,-1,-1,-1,814282,272075,-1,-1,-1,-1,441275,-1,624642,-1,-1,935360,-1,-1,738085,524627,741583,-1,-1,251241,752430,-1,23422,93468,-1,480620,363188,-1,583668,170939,-1,-1,449228,-1,69041,-1,-1,-1,188055,904996,-1,-1,-1,725818,-1,711263,-1,-1,339355,101592,-1,-1,729369,-1,-1,-1,127357,-1,-1,410279,918129,921330,946446,-1,407768,584937,25460,444000,651843,100318,914759,-1,-1,-1,-1,-1,-1,817610,451012,-1,188342,780194,424286,683965,-1,293971,-1,-1,315955,-1,-1,676404,-1,-1,-1,699640,-1,-1,-1,-1,903058,384611,589340,865149,-1,933862,406577,-1,45541,758795,-1,-1,676799,734716,618517,-1,-1,42677,667251,-1,703881,-1,834671,-1,-1,-1,-1,-1,-1,-1,556897,-1,368216,-1,-1,-1,-1,-1,238986,156630,567752,25812,-1,592431,972964,316924,-1,849226,725381,776738,482810,-1,-1,-1,317401,591200,-1,-1,751649,559871,211558,-1,-1,-1,375420,293225,-1,-1,-1,777643,-1,3683,766557,-1,298672,-1,-1,-1,347926,77938,-1,237230,-1,-1,611534,-1,-1,181449,-1,-1,-1,117170,-1,-1,-1,-1,528796,-1,513427,-1,504057,-1,-1,64444,969786,848087,-1,173448,169534,-1,-1,-1,301641,303657,620445,-1,516661,-1,-1,643625,-1,-1,-1,248720,-1,695759,-1,595464,-1,-1,771327,832153,973291,-1,492045,-1,422215,-1,720365,302227,872265,173514,367051,540159,105475,297046,707759,257266,-1,-1,-1,-1,-1,28756,766183,-1,449078,-1,279014,-1,-1,-1,108981,561983,243837,471948,553754,-1,499244,500118,841552,341621,985882,-1,-1,241784,287667,-1,982087,42316,471497,86193,-1,59792,-1,-1,263692,-1,-1,-1,746768,526725,-1,924802,-1,556710,712144,304282,719509,974079,945918,-1,-1,-1,-1,554260,-1,508506,-1,95121,54473,147912,-1,-1,574843,-1,-1,739193,-1,-1,-1,-1,246194,-1,824382,-1,465196,577403,12842,-1,160328,136303,-1,398946,-1,-1,636790,26833,687990,830902,171291,765824,-1,-1,-1,-1,-1,585018,-1,-1,638889,-1,-1,926440,451006,-1,-1,-1,901905,522797,-1,-1,-1,-1,141025,-1,201277,-1,-1,731148,260075,-1,734484,139770,666397,-1,346769,26243,426385,789496,191237,827376,719923,329881,-1,316758,226774,868790,61063,-1,-1,-1,207784,-1,-1,831665,391572,-1,-1,913274,-1,376237,296384,96070,735291,-1,363404,29283,899317,-1,-1,-1,-1,-1,-1,-1,-1,128427,-1,502202,-1,-1,-1,-1,806022,742205,128810,641833,-1,-1,-1,-1,-1,-1,-1,397203,-1,-1,-1,36273,447893,-1,927423,957075,457239,481967,684159,288674,310288,371710,-1,960325,182264,7981,516340,141890,549154,339762,-1,416171,-1,-1,599985,962740,-1,-1,911758,552692,715581,-1,512148,166770,757897,-1,255894,717369,-1,528091,199145,138180,340579,-1,97278,473257,-1,508348,-1,60174,314751,516366,-1,-1,-1,171459,-1,479840,677237,-1,166952,-1,-1,167328,380569,-1,-1,-1,147825,497845,-1,-1,-1,560438,439376,13366,-1,847263,33615,-1,520097,-1,-1,425715,-1,771250,-1,544933,227658,-1,-1,771018,-1,766918,289460,839902,-1,574213,478463,-1,-1,-1,194334,693056,581806,17156,681688,-1,801706,9111,-1,-1,-1,-1,-1,-1,478379,-1,-1,902483,-1,71856,-1,-1,800335,514426,-1,268295,711721,734545,-1,-1,-1,-1,464448,-1,-1,-1,526810,902688,-1,410177,744408,118921,965913,749664,-1,-1,10835,-1,-1,-1,308828,105480,222254,-1,-1,-1,-1,362618,-1,-1,-1,-1,-1,-1,-1,36431,-1,547393,-1,-1,621910,323691,-1,-1,60324,-1,728193,-1,923568,-1,415850,889695,378150,-1,-1,-1,898070,987180,380502,-1,-1,-1,916295,-1,-1,-1,869664,-1,905529,110181,260656,738438,108193,219917,-1,-1,355048,86913,799632,-1,-1,-1,194469,953680,-1,677126,921696,-1,317766,-1,-1,-1,169897,-1,525828,77796,928834,-1,-1,564220,641562,-1,460115,-1,684754,465345,479414,843607,611788,689730,207177,773914,-1,599887,887056,-1,861025,-1,517563,-1,186103,370221,-1,-1,845902,370682,-1,-1,-1,754432,-1,-1,320755,-1,-1,851938,916435,240908,-1,-1,2079,843916,-1,-1,-1,-1,-1,619949,-1,720044,21943,-1,-1,-1,765574,-1,-1,970307,876038,354442,-1,-1,-1,-1,339737,-1,-1,28835,-1,-1,248950,-1,531809,-1,-1,-1,-1,-1,-1,-1,-1,-1,865577,-1,-1,-1,731477,882313,-1,370842,-1,-1,657074,-1,-1,-1,404998,470006,232222,97666,-1,626389,-1,749826,3676,381085,-1,523301,558330,675942,989127,-1,-1,899050,-1,-1,499656,-1,-1,-1,-1,766296,500943,-1,-1,-1,153608,69177,176940,-1,-1,-1,670234,340992,-1,866888,-1,235734,-1,977239,993970,-1,522035,474803,-1,-1,645510,972924,-1,386763,179656,-1,-1,-1,-1,278582,-1,-1,-1,-1,499881,-1,756896,765185,-1,-1,914769,-1,160901,-1,39988,405990,-1,803571,200311,-1,982128,311693,-1,-1,-1,201506,-1,425171,908165,29915,-1,-1,-1,857016,-1,914697,945280,-1,448671,-1,675986,971169,610672,253762,-1,408415,-1,267438,-1,672355,401348,-1,635984,-1,502851,-1,288088,-1,754770,-1,-1,-1,-1,353029,-1,-1,340586,-1,290157,-1,649505,-1,914062,-1,347537,-1,-1,-1,-1,390213,396940,482028,-1,975019,-1,981553,570041,898037,721793,677469,422843,-1,-1,720705,843931,-1,-1,-1,-1,339001,547067,855548,-1,747113,-1,-1,-1,444324,-1,431599,348693,-1,82101,766871,216568,958389,-1,-1,-1,-1,-1,-1,-1,-1,168179,-1,951587,883051,-1,860800,-1,-1,-1,990934,175110,843904,696663,-1,999591,387802,750548,241735,-1,703186,-1,981441,516424,467191,-1,357211,927482,211755,-1,-1,506606,572013,-1,71991,-1,543273,-1,739097,459075,-1,-1,-1,-1,629395,48474,-1,351764,-1,503894,928564,-1,81231,221366,688196,389335,-1,640339,345050,377623,349960,391805,-1,941293,351124,497283,-1,513171,-1,866638,-1,724753,54296,531584,743209,809700,469644,-1,-1,-1,643931,47056,257350,588497,-1,507048,980905,166855,889631,-1,544590,823152,761135,914515,316332,-1,909621,-1,-1,571317,-1,583386,-1,782667,-1,-1,-1,212067,-1,-1,451173,520669,230100,110918,-1,-1,-1,-1,649238,897500,616936,-1,-1,997907,864932,-1,-1,358393,-1,-1,363103,-1,887722,-1,160336,-1,-1,-1,205557,-1,32529,522769,-1,-1,481788,-1,-1,-1,218361,640384,-1,-1,-1,-1,-1,-1,435567,92503,252611,908223,-1,-1,587908,528360,-1,490355,835427,-1,494593,-1,509741,801096,277729,213791,-1,-1,-1,755889,-1,-1,871935,664120,75432,164292,799262,-1,100693,-1,497015,875872,535716,257779,590703,683232,735639,-1,983001,-1,-1,-1,22240,315082,-1,94334,-1,642471,-1,338390,685978,40666,546150,-1,405634,-1,223133,-1,439620,-1,-1,38292,310238,559484,-1,-1,-1,-1,-1,-1,358569,-1,230251,312535,-1,606449,557171,-1,-1,523254,421643,-1,97411,118935,654191,271126,-1,-1,548772,825581,-1,-1,-1,89945,-1,-1,186083,-1,-1,-1,-1,-1,-1,720777,-1,-1,-1,571786,-1,917154,-1,478661,49231,-1,-1,650756,-1,-1,220649,-1,639292,-1,809005,-1,-1,-1,-1,-1,-1,313880,147919,-1,-1,-1,-1,511908,212501,345849,-1,-1,-1,175562,886108,694920,731845,-1,742201,-1,-1,701123,-1,-1,-1,-1,-1,-1,-1,95050,545013,-1,-1,-1,15340,-1,-1,911917,-1,-1,399377,-1,111276,-1,-1,-1,43102,665013,-1,-1,-1,-1,-1,650713,172555,-1,-1,-1,-1,981622,-1,-1,-1,350994,-1,-1,-1,654931,-1,458579,-1,333507,-1,-1,-1,-1,164652,-1,790613,37617,-1,-1,891957,-1,781414,-1,-1,-1,423588,-1,145533,-1,-1,544781,-1,89599,-1,874822,200071,917577,484574,751037,-1,667649,-1,-1,973020,608305,671451,-1,-1,385247,-1,-1,-1,831016,-1,695488,-1,392424,-1,554604,-1,-1,348110,-1,640618,607413,-1,705736,-1,973602,661002,-1,181237,-1,-1,-1,-1,779886,-1,-1,13794,-1,-1,790222,-1,916793,975645,-1,-1,152090,208533,49191,616318,763673,15989,-1,-1,857011,311068,-1,-1,-1,-1,7204,342588,103725,-1,-1,264405,168537,539408,-1,744168,43620,-1,671944,64523,108425,914598,-1,750754,-1,-1,208355,378416,-1,537291,659240,-1,552076,-1,-1,-1,-1,193264,594117,-1,664065,663565,-1,-1,-1,-1,649678,368097,641621,466752,-1,716005,479697,-1,401127,-1,-1,464613,-1,-1,182811,-1,-1,63506,530461,537084,577314,-1,418464,-1,94895,382903,-1,-1,721331,-1,533857,-1,-1,-1,-1,-1,697457,-1,-1,-1,435681,-1,293746,-1,-1,-1,61356,-1,-1,-1,403160,-1,-1,122356,-1,733948,521811,814077,993997,849309,355008,31854,862169,-1,-1,-1,-1,-1,135139,-1,114000,-1,-1,536199,261050,-1,-1,33665,580281,-1,989633,135433,418861,-1,-1,-1,575163,665461,-1,-1,-1,475692,-1,-1,-1,-1,728448,236366,47956,954278,954699,642483,-1,260455,-1,-1,-1,15676,-1,-1,-1,416310,-1,-1,720827,912605,838284,955968,976497,-1,-1,986776,-1,-1,-1,-1,854109,-1,766904,843945,-1,927331,648990,-1,-1,20840,-1,-1,704573,-1,-1,-1,-1,-1,-1,-1,-1,-1,689465,157463,721390,615828,-1,-1,-1,-1,-1,-1,-1,-1,733847,-1,-1,-1,71120,-1,-1,-1,-1,-1,-1,-1,-1,-1,989384,-1,458546,385955,256902,607402,357359,-1,805097,192708,977967,154066,363448,931353,852442,-1,-1,-1,257568,806392,877858,600110,646782,8687,-1,-1,260095,573264,297871,996051,-1,192790,635744,-1,857870,680000,809490,555790,-1,-1,74471,991817,-1,551650,302859,-1,623140,982573,900741,-1,130599,775349,238857,-1,983061,11928,-1,954512,-1,289743,-1,-1,279302,87200,594371,-1,-1,-1,-1,644437,-1,800753,870032,-1,-1,205773,981132,194600,770892,-1,312027,285661,379728,-1,-1,-1,86947,-1,385297,346170,-1,-1,202777,45805,885362,-1,835134,267269,-1,395687,-1,-1,24338,-1,-1,-1,516783,420684,-1,512606,445115,-1,447044,-1,908235,-1,-1,354374,-1,307356,-1,-1,-1,656941,853900,-1,914908,695066,455475,-1,556492,-1,-1,975144,334579,-1,693471,2506,-1,-1,-1,165085,-1,-1,176232,-1,276131,942008,-1,423772,-1,-1,-1,-1,758542,897216,-1,85360,924232,338951,901891,497508,466013,5602,-1,-1,300487,355714,353837,202947,-1,977382,-1,358857,728326,588145,783958,860718,24556,-1,768559,279247,940269,-1,941498,713983,-1,-1,705061,451431,669966,-1,583736,-1,-1,398450,-1,-1,67264,535985,-1,-1,504924,-1,240287,723014,-1,379517,108575,-1,559594,-1,632175,-1,-1,5563,26890,126594,331873,410899,601361,-1,-1,-1,189444,896106,-1,-1,525126,97220,-1,832888,-1,-1,-1,-1,-1,969946,-1,-1,2770,-1,-1,-1,-1,656632,556466,190688,-1,357648,-1,-1,668065,-1,982147,-1,-1,659001,730498,-1,-1,-1,622258,59610,152018,-1,793669,-1,-1,809187,896259,-1,-1,-1,324561,582552,-1,-1,-1,-1,-1,-1,352633,-1,-1,-1,391668,-1,3516,-1,390620,-1,-1,380703,-1,-1,-1,524102,450310,148733,74823,667566,-1,557974,-1,-1,-1,289709,870098,-1,727278,-1,873684,-1,-1,-1,484415,619833,183915,-1,420066,312169,238354,684105,-1,80020,-1,563535,-1,223382,-1,-1,-1,-1,-1,233045,-1,691110,956081,-1,869723,-1,-1,39465,-1,-1,-1,699645,571863,-1,-1,460709,-1,372632,191769,497072,-1,412858,-1,432896,480284,751113,-1,-1,-1,-1,595634,20939,-1,146922,-1,839209,-1,7385,-1,537075,-1,-1,-1,-1,228212,-1,599961,724183,117164,-1,65631,369195,527333,-1,261931,-1,572658,-1,990611,-1,-1,675348,388351,396625,630122,185657,427766,-1,-1,-1,-1,770709,-1,-1,-1,537864,592255,219210,-1,-1,-1,525549,296364,-1,281515,452681,-1,854979,-1,-1,229306,-1,676917,-1,-1,-1,280381,-1,-1,-1,-1,168848,-1,-1,602918,-1,755776,-1,969030,757621,-1,-1,74222,752009,606426,672618,458108,826984,829188,636378,505505,-1,-1,-1,654852,337991,-1,-1,780220,-1,-1,-1,378366,-1,-1,505254,775947,830706,-1,252030,685699,848447,-1,190121,788558,81290,20545,-1,-1,-1,553474,-1,656102,971112,327003,-1,321167,-1,-1,-1,901628,-1,-1,13290,903002,-1,-1,38373,622825,-1,315836,373285,345339,-1,-1,-1,532020,21432,-1,857025,455424,544004,-1,-1,-1,-1,-1,-1,272617,-1,945510,-1,404264,-1,38106,-1,-1,-1,-1,55732,-1,967842,362193,-1,424883,-1,48834,-1,627179,772562,-1,-1,771850,849487,-1,270501,-1,-1,-1,634003,987257,40737,-1,976357,571339,250041,58928,-1,-1,-1,369772,87081,733877,-1,441997,-1,-1,-1,28810,79376,931612,760070,-1,-1,960487,-1,-1,332822,-1,807663,-1,820602,-1,876648,-1,980829,-1,-1,868879,-1,-1,308902,-1,-1,-1,244134,922728,-1,-1,607393,68448,632366,283936,758263,157836,211311,-1,446199,-1,97924,258572,101499,974064,-1,-1,-1,485663,279703,-1,-1,-1,-1,-1,-1,655569,269795,-1,310105,734215,-1,302538,310896,-1,642602,564936,-1,160724,-1,968894,463915,-1,-1,83930,789621,384860,615512,-1,245749,-1,-1,576294,255781,716225,68296,569330,870722,757356,-1,874767,-1,-1,-1,-1,-1,-1,335255,817131,-1,510141,447961,-1,-1,-1,117642,-1,214271,-1,992004,-1,752020,-1,260975,-1,129211,-1,397159,414436,806663,-1,871179,-1,410674,-1,-1,479190,-1,692140,-1,22845,107154,851832,-1,172152,-1,297129,661676,686424,-1,-1,-1,857737,526109,-1,23026,-1,-1,76966,-1,153195,-1,-1,-1,71294,-1,814377,-1,-1,679935,-1,-1,-1,-1,-1,-1,-1,-1,-1,566615,704555,10409,666313,763090,-1,735516,688280,364144,909551,-1,-1,-1,634660,-1,-1,-1,-1,905867,-1,71139,129548,510654,793638,887363,863202,584370,-1,-1,305935,745411,405892,-1,-1,217681,259788,918516,829282,163173,-1,272168,-1,714135,-1,404125,718245,908547,-1,122085,-1,-1,-1,274067,-1,878616,-1,32694,-1,-1,-1,764875,-1,-1,474226,608048,-1,-1,-1,-1,-1,-1,-1,-1,558348,348224,-1,663610,394488,291158,-1,-1,-1,726093,-1,-1,-1,703758,-1,877083,597816,322285,257844,-1,521476,-1,258247,-1,-1,989183,-1,-1,-1,-1,412412,-1,-1,238922,-1,-1,-1,665651,901680,574059,444514,-1,-1,972898,-1,-1,949979,-1,739897,-1,74683,-1,-1,758629,822284,909534,-1,-1,103580,981825,-1,374180,-1,221566,-1,-1,-1,240507,-1,-1,529638,386966,923197,-1,-1,-1,-1,972681,-1,-1,599469,-1,509077,11480,-1,-1,379583,-1,-1,-1,952409,297528,109837,-1,480045,472937,499757,921055,-1,269686,-1,-1,630861,-1,-1,-1,-1,631663,-1,316934,520071,269705,-1,675171,343561,-1,370749,315611,944100,-1,-1,126424,373719,-1,929567,-1,661338,406806,-1,775231,-1,-1,444246,-1,-1,554828,-1,870074,920860,-1,-1,891634,693245,-1,-1,32415,878950,51501,757346,-1,690317,211830,-1,319778,-1,613644,419065,261135,959320,204185,894130,-1,-1,-1,952183,259324,910438,-1,-1,55716,642648,135061,596366,885325,301522,-1,-1,-1,395367,411737,-1,469152,-1,782270,-1,-1,270434,14501,-1,582155,50298,657725,-1,247851,-1,-1,-1,-1,-1,768668,-1,69914,-1,-1,829167,120301,-1,-1,-1,-1,-1,297480,-1,399345,818371,-1,-1,418361,-1,471647,-1,439367,-1,641438,-1,719542,-1,157415,-1,203077,-1,878029,-1,-1,-1,939001,-1,-1,477356,-1,-1,-1,-1,429448,-1,-1,164005,-1,-1,452560,-1,308390,446411,163421,-1,-1,-1,558322,-1,531542,196825,-1,295543,-1,-1,668070,-1,500068,-1,-1,-1,-1,629322,931958,-1,64284,-1,979329,-1,-1,-1,737524,-1,939967,463955,-1,-1,-1,780539,179482,-1,-1,522333,-1,565763,-1,-1,47517,-1,489956,-1,-1,678562,-1,557209,703568,670745,149783,-1,-1,-1,870449,-1,974275,70007,216985,-1,-1,385771,416633,-1,-1,-1,-1,299009,-1,636749,843944,-1,528891,830095,186377,-1,622182,-1,597591,-1,-1,146029,835310,77679,206756,-1,361414,-1,494409,-1,765624,-1,-1,69006,580565,-1,-1,264707,-1,213701,-1,639257,-1,142868,510726,-1,280973,-1,-1,540850,128950,816695,419750,739691,653225,-1,-1,484621,-1,-1,-1,-1,782296,382708,-1,-1,990667,-1,-1,461635,-1,418831,-1,-1,535427,584140,-1,784986,95192,-1,-1,969237,-1,772414,-1,851799,-1,434760,-1,993408,959314,-1,-1,-1,-1,102982,254365,-1,13709,-1,699657,-1,-1,-1,54228,-1,-1,-1,-1,479604,-1,-1,-1,-1,956424,-1,345907,308431,-1,271526,-1,-1,87444,-1,-1,-1,569604,945360,299136,-1,-1,889574,274905,-1,-1,-1,451497,-1,827966,-1,454103,-1,-1,769303,-1,690914,-1,449579,313647,140647,-1,-1,479968,-1,388539,-1,815898,-1,-1,245433,380660,671111,-1,-1,-1,-1,269258,89340,309640,878597,466686,319184,-1,-1,451287,78827,694473,566338,-1,799601,-1,372134,-1,481579,468679,-1,-1,478925,-1,-1,784816,954413,-1,838849,794475,874436,383655,-1,884376,519226,-1,-1,-1,376298,699414,-1,-1,326915,368486,-1,156846,913842,-1,-1,186010,-1,-1,924743,721853,614446,252520,-1,-1,-1,-1,-1,-1,-1,-1,414681,152315,-1,-1,-1,658190,-1,821990,683477,-1,-1,-1,48159,-1,312086,-1,48529,804477,567791,-1,-1,-1,-1,-1,-1,596931,-1,-1,-1,399147,677241,-1,-1,-1,-1,-1,-1,-1,576502,660966,-1,776080,910995,446873,-1,-1,48973,-1,880044,-1,108096,-1,438400,-1,-1,352901,197084,724265,191175,646511,-1,-1,-1,531347,659989,393383,-1,-1,984722,-1,341908,-1,-1,435522,584619,738105,-1,264925,559885,-1,-1,-1,494728,-1,496147,111105,480608,-1,-1,21128,650919,-1,100474,-1,-1,902112,-1,-1,576973,317266,-1,-1,534951,-1,687186,371451,632209,-1,179218,407856,15531,-1,-1,-1,704788,106824,-1,-1,-1,-1,-1,6409,-1,-1,497958,-1,783836,-1,849179,812968,314863,-1,-1,-1,384337,-1,777570,-1,221960,543083,-1,842234,371951,600099,-1,-1,903307,441224,-1,-1,220418,-1,927588,-1,-1,931995,-1,-1,462874,-1,-1,848350,-1,-1,-1,-1,669197,520471,324808,182622,742280,-1,-1,-1,-1,340632,994883,-1,4353,377505,318393,-1,520762,369595,-1,848673,834674,256873,-1,834951,277265,950787,-1,-1,207924,-1,-1,451697,-1,-1,-1,448450,61995,303178,356416,380393,70253,-1,183042,12851,868271,527472,397155,-1,599461,590265,-1,629027,525623,-1,267904,-1,841261,647240,16167,134827,681598,-1,157961,318447,-1,179797,-1,-1,968404,-1,-1,-1,304270,-1,-1,-1,430074,308424,125178,-1,-1,468922,-1,-1,487995,72720,-1,97888,366649,313165,-1,534615,-1,948754,400754,-1,-1,-1,425169,193634,-1,-1,364127,-1,574303,-1,-1,-1,520114,-1,477014,477211,96635,935195,-1,121366,-1,-1,187276,131374,616859,-1,509451,466224,998743,411849,-1,510368,74615,824698,-1,-1,518313,265003,-1,377018,442041,648163,-1,627352,231961,-1,924040,633167,157,-1,-1,-1,396925,-1,642052,-1,-1,-1,-1,906459,-1,23536,820683,-1,394765,738572,-1,-1,714733,-1,640796,773561,-1,-1,880848,657597,405688,66656,292909,-1,304772,564829,-1,392177,-1,-1,962312,-1,297313,-1,-1,170730,727427,349399,-1,-1,-1,-1,-1,-1,-1,-1,598247,5248,401410,996741,-1,-1,-1,-1,985280,850696,15838,-1,132825,-1,-1,-1,706773,-1,-1,-1,777941,250685,293373,396047,-1,918783,62675,532291,803793,370992,-1,660263,-1,-1,-1,290806,-1,40781,490362,-1,327389,-1,-1,-1,-1,-1,-1,-1,973335,476972,104137,720592,-1,824397,692368,799011,413563,-1,-1,162768,-1,-1,-1,220759,345710,-1,754744,-1,-1,39641,-1,2003,-1,-1,-1,-1,-1,42951,-1,-1,618172,628026,-1,-1,674475,173191,775975,-1,-1,379823,-1,-1,126863,315334,340865,-1,-1,204224,287345,466022,279716,684103,-1,624062,161179,315011,-1,-1,674744,407207,-1,173165,-1,-1,-1,274924,922382,847153,283580,-1,-1,-1,-1,43469,179923,665583,-1,832096,422699,244530,-1,-1,-1,12609,189628,-1,-1,723094,-1,632375,513093,429996,128997,153298,972428,302392,-1,553621,-1,533632,-1,60715,715180,-1,-1,264128,-1,-1,-1,231927,327408,-1,359712,-1,296965,-1,48898,938093,385929,735915,935592,596737,-1,-1,559672,-1,-1,652437,-1,3342,-1,373292,-1,983185,987532,-1,-1,-1,-1,-1,856764,609624,301954,-1,367193,-1,-1,-1,592519,-1,583479,-1,322217,801418,824334,-1,-1,312716,324293,685735,-1,84701,-1,-1,-1,411245,698230,-1,903066,656348,349498,978162,294478,162559,644085,674999,-1,-1,451590,-1,-1,-1,865688,259807,202618,-1,-1,-1,-1,-1,-1,-1,191272,-1,438239,987752,-1,637803,-1,269357,756190,-1,873576,-1,-1,-1,658465,412949,433091,157963,-1,-1,-1,-1,321795,565481,-1,935059,-1,-1,624746,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,452647,350442,-1,519539,214281,-1,-1,-1,-1,-1,-1,151449,213708,-1,-1,-1,339116,-1,-1,805297,-1,273561,-1,410397,-1,-1,-1,-1,230934,984305,153348,770269,597670,-1,-1,742059,-1,312693,849423,-1,934484,107996,899847,-1,-1,577305,-1,-1,-1,389154,-1,419124,644685,-1,-1,-1,-1,954707,333325,-1,125177,-1,1777,-1,554700,-1,609489,757455,663965,-1,140980,-1,838968,482654,-1,115890,-1,936146,183496,-1,-1,-1,564677,659633,289684,-1,-1,475059,801277,14764,-1,-1,-1,443843,-1,959782,512945,141502,669060,69764,-1,81772,417792,-1,136256,148771,-1,-1,-1,-1,-1,-1,-1,-1,290838,797424,-1,518124,-1,-1,964678,464168,-1,-1,-1,827047,-1,-1,-1,99601,-1,55727,110277,189871,-1,960387,-1,-1,375974,-1,828052,898513,-1,-1,957977,-1,-1,793309,-1,-1,131309,-1,-1,-1,-1,-1,217997,-1,-1,439394,376256,318303,181306,316342,824572,-1,522529,-1,248144,878783,63701,-1,-1,328628,-1,-1,-1,392776,332813,-1,-1,244442,850010,-1,-1,-1,902310,717165,620312,958213,826745,464019,-1,-1,-1,103558,-1,487921,931515,-1,906563,571970,-1,-1,475895,-1,-1,-1,790932,906106,-1,-1,350976,-1,4337,-1,778528,244719,-1,-1,-1,-1,635596,400148,103702,-1,-1,357093,366891,-1,-1,923109,-1,-1,250311,768742,-1,-1,-1,-1,58660,900009,-1,-1,108641,603089,821536,657167,907667,810755,-1,469448,460928,-1,14506,751941,355527,177329,-1,-1,833275,12007,-1,601891,586634,854197,276837,-1,-1,-1,323927,-1,854648,986647,-1,209659,943276,350795,438389,261480,-1,425208,919557,400317,-1,-1,-1,519824,-1,692728,-1,-1,-1,-1,-1,-1,-1,-1,-1,716816,-1,351569,978362,-1,62211,-1,838452,139829,162038,-1,140639,422910,985831,-1,136334,411543,949849,-1,342708,894638,761929,-1,261817,448769,-1,311659,560544,302449,-1,-1,767114,-1,-1,603863,551605,-1,-1,-1,651469,-1,-1,747165,96201,-1,-1,-1,378251,-1,-1,783470,-1,-1,-1,-1,69964,-1,732874,336807,996174,-1,-1,732830,364646,976587,803175,406717,-1,561299,-1,169709,383726,698024,492983,319764,3110,-1,502728,595812,619110,69983,428399,820726,269749,-1,-1,-1,-1,-1,-1,564321,-1,680619,652284,658069,657026,-1,-1,-1,590506,127957,-1,372318,204556,-1,258238,-1,-1,-1,315069,-1,-1,-1,-1,-1,219695,339522,-1,-1,-1,-1,-1,-1,-1,-1,833220,-1,-1,218156,974516,-1,518839,-1,-1,170990,-1,778651,-1,345684,-1,-1,935849,524293,-1,820074,-1,-1,795647,981333,-1,-1,-1,-1,526527,-1,740642,-1,-1,-1,980238,-1,848389,192582,-1,-1,129278,-1,-1,-1,-1,-1,205932,-1,100839,168187,-1,393526,-1,754300,-1,580280,-1,747417,914565,535581,885928,429041,401670,288224,-1,-1,-1,871017,433022,-1,-1,984753,885779,-1,753647,309804,317481,558610,-1,836099,-1,-1,-1,-1,886537,371613,572302,-1,169598,-1,96969,-1,-1,190429,158321,-1,953463,47759,-1,-1,-1,-1,963389,-1,268445,-1,-1,550583,-1,-1,582359,-1,-1,-1,-1,914069,551541,-1,21370,557046,439536,-1,-1,236904,-1,-1,456963,504159,822204,219639,63695,500756,369153,225421,-1,-1,-1,-1,-1,-1,981808,-1,-1,339435,-1,426663,151118,-1,853894,-1,-1,-1,646473,457654,170038,662346,165624,231028,-1,233999,-1,67969,199473,-1,-1,-1,-1,-1,-1,-1,666684,708151,-1,-1,704278,734008,-1,-1,988194,-1,954834,-1,-1,-1,592597,-1,405504,-1,545603,-1,220015,-1,-1,731630,-1,915773,-1,-1,891570,50979,-1,-1,485020,998391,91815,-1,-1,943330,171852,251194,990433,-1,-1,-1,392639,-1,-1,427176,-1,736611,139739,150572,-1,-1,815091,-1,-1,-1,612562,196941,-1,-1,-1,-1,-1,846644,225783,288294,-1,-1,-1,402855,-1,932133,-1,309432,-1,-1,-1,143662,828378,-1,-1,-1,-1,440722,-1,-1,112772,421964,901516,-1,531328,396835,-1,438681,825844,707142,-1,-1,-1,38895,-1,734892,-1,620962,-1,-1,-1,686748,-1,628284,-1,814460,685841,379954,347497,212515,-1,-1,646379,-1,-1,363108,835302,457243,-1,301484,812575,397556,-1,-1,834452,222679,25440,108068,826476,-1,838250,566206,910398,-1,667827,-1,856144,-1,-1,-1,-1,-1,123671,-1,424901,-1,-1,525379,565247,845814,23992,-1,-1,674307,348220,-1,633537,-1,-1,28010,-1,-1,533718,-1,-1,994831,-1,41252,452766,711499,782740,134778,-1,-1,-1,867241,-1,786138,137097,-1,-1,228310,-1,915110,-1,-1,-1,456624,562273,365543,756856,-1,-1,-1,319620,645877,-1,834734,-1,-1,-1,-1,-1,-1,188273,385992,156975,-1,-1,-1,-1,-1,841612,-1,-1,-1,142906,-1,-1,648357,514832,908106,-1,625670,42825,-1,-1,-1,-1,911706,890699,-1,-1,870234,-1,-1,-1,-1,-1,-1,283188,212207,-1,355159,-1,21043,733928,738640,-1,-1,4656,-1,708563,-1,939445,45222,779480,-1,-1,-1,16311,903574,230878,345474,946357,-1,-1,-1,-1,-1,-1,-1,877304,83649,450276,100691,34104,933446,508275,6633,-1,-1,-1,-1,938734,517475,198053,-1,-1,552349,305247,-1,916320,738242,338717,815028,-1,-1,663344,-1,-1,883413,-1,-1,141974,988940,-1,-1,-1,302511,-1,-1,976792,-1,-1,453388,293185,-1,-1,-1,864620,-1,-1,389036,-1,250415,-1,-1,30377,24241,31342,545174,725204,225405,-1,-1,-1,436919,-1,-1,579793,-1,310721,498448,-1,-1,251582,-1,600938,-1,309978,-1,673351,-1,-1,297887,-1,210360,309132,626575,-1,-1,-1,-1,750599,-1,175354,892912,734487,-1,103424,-1,124449,-1,-1,820253,-1,-1,-1,464127,-1,-1,120531,-1,-1,-1,-1,476706,440439,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,932746,-1,77896,106637,-1,-1,566823,-1,808964,-1,172254,497517,434246,471120,-1,-1,69915,-1,521721,555765,363906,-1,-1,-1,-1,12715,115767,970506,-1,18764,-1,746733,-1,64771,-1,254825,-1,608242,-1,498270,122890,-1,-1,819,534402,-1,11672,-1,482840,109701,777655,893935,508536,871338,668477,525507,-1,880266,-1,574415,-1,592150,-1,-1,509383,766318,537243,-1,102086,64544,895250,-1,-1,745676,647320,352227,992685,788078,-1,218739,746451,-1,-1,-1,510132,826601,430065,361018,-1,-1,-1,545707,-1,23809,-1,-1,-1,835392,487977,484916,201670,612847,-1,685507,103064,-1,153564,512405,573128,-1,393215,971355,-1,773019,965295,168100,-1,-1,949039,25354,-1,163903,373600,35477,879418,412499,-1,-1,-1,235193,-1,859724,907969,191854,693335,-1,-1,755959,66895,610281,-1,-1,-1,681615,66782,839040,-1,610976,775531,-1,987971,659366,585800,-1,626354,516359,552049,643729,574777,-1,874274,-1,621764,-1,112289,905073,779488,-1,226149,637682,193501,399811,-1,707317,725888,450794,-1,-1,261265,-1,611686,-1,334368,266468,-1,-1,-1,-1,946759,-1,-1,-1,325594,-1,-1,136711,16648,-1,684879,61868,-1,990191,-1,589109,188245,-1,-1,407159,833238,-1,48891,69889,392285,-1,-1,-1,-1,-1,-1,-1,601366,-1,-1,619685,-1,-1,-1,630271,259246,-1,-1,933403,-1,950204,-1,980740,187592,354270,634995,-1,691097,-1,-1,420609,619100,407427,724194,-1,336479,-1,466792,893667,-1,-1,-1,75887,706606,437717,361195,-1,-1,-1,-1,-1,-1,-1,-1,-1,189341,27395,-1,792187,-1,823813,385710,-1,-1,-1,-1,861331,-1,-1,-1,-1,877427,-1,-1,88934,-1,359805,119583,915075,742235,-1,111277,593651,705186,-1,-1,-1,-1,-1,715319,206611,-1,-1,348928,562042,-1,511230,826168,-1,-1,-1,477936,195051,-1,740683,-1,-1,-1,272963,158396,416144,357034,68847,-1,-1,-1,602697,105790,894011,127946,468070,556675,-1,427753,207938,-1,317571,625987,-1,466804,229900,361060,-1,-1,-1,37161,-1,-1,739470,33464,642463,93438,-1,-1,-1,-1,-1,210841,-1,656924,-1,331977,-1,241630,9945,-1,456563,727929,-1,457022,-1,-1,-1,-1,89591,978951,-1,-1,641755,224487,-1,38860,-1,524242,795487,398111,997162,-1,88415,-1,-1,419787,579681,-1,584422,418677,-1,826001,-1,111025,124179,-1,610736,755389,140832,-1,-1,557371,736319,-1,-1,-1,-1,-1,989462,394281,-1,778454,511674,-1,247786,-1,-1,389932,572002,-1,-1,-1,912190,-1,-1,637141,-1,-1,89899,-1,933356,83440,232150,188982,832985,628288,-1,86038,-1,-1,-1,-1,-1,74091,858577,-1,-1,-1,822834,308547,-1,586207,481112,-1,-1,748310,-1,-1,307306,-1,-1,990725,204232,-1,764790,282307,432313,329667,-1,-1,-1,-1,567680,-1,-1,-1,240017,-1,860345,-1,209890,-1,872083,-1,-1,-1,593885,319011,-1,-1,647945,901982,-1,846313,93172,973970,96260,-1,-1,368722,-1,-1,-1,-1,-1,-1,-1,-1,925964,547682,-1,813355,-1,-1,-1,945609,357966,161574,601024,709534,-1,-1,-1,724428,-1,559402,-1,827366,-1,453109,236973,208576,250384,-1,540493,-1,-1,266754,230233,-1,349812,-1,630311,894783,572997,-1,458658,-1,-1,206720,-1,-1,-1,293802,64308,320106,-1,963621,571035,-1,496687,809294,-1,574022,-1,92769,-1,-1,652348,-1,-1,-1,351791,622447,977428,-1,-1,618801,-1,970914,535396,-1,89077,498663,519336,857637,376491,381372,-1,531065,-1,326770,664104,-1,723243,555242,333258,-1,-1,-1,194619,137205,-1,299313,-1,688563,587629,-1,664011,-1,-1,-1,659233,435661,-1,-1,-1,134639,810836,470809,-1,684206,631916,149809,-1,-1,-1,628961,67516,-1,-1,-1,-1,-1,-1,-1,844989,589377,-1,560751,-1,547158,777770,-1,313513,-1,446011,-1,-1,84670,-1,315603,-1,991268,-1,-1,745930,-1,582285,-1,-1,104819,-1,-1,-1,618675,-1,-1,156867,-1,324717,-1,-1,951884,36651,575551,600128,240903,-1,-1,-1,-1,783038,878719,989134,-1,57629,317315,811143,242584,-1,-1,247458,375735,583815,-1,978283,-1,-1,36435,-1,430820,467816,-1,-1,-1,-1,737258,-1,909622,969322,-1,833561,711933,153975,-1,-1,760848,58102,439106,-1,-1,-1,920919,805446,213537,622221,-1,-1,-1,-1,590199,736599,-1,-1,-1,-1,915618,992215,813732,-1,-1,823057,308766,-1,-1,-1,750799,465444,191928,-1,-1,-1,-1,-1,-1,822105,585003,762172,963892,913270,-1,9096,-1,517035,393005,556438,-1,990911,897089,-1,822218,959271,-1,-1,518564,-1,851207,-1,959650,-1,-1,985012,-1,-1,-1,-1,-1,207905,-1,-1,-1,-1,559326,582696,187972,-1,984950,-1,-1,-1,-1,-1,513338,-1,567302,655831,-1,683285,-1,-1,-1,-1,-1,435329,460428,50633,-1,568104,-1,-1,-1,898506,579961,-1,-1,145198,-1,89829,-1,93592,-1,-1,532856,-1,-1,990394,-1,383777,-1,-1,-1,302046,-1,-1,137386,7483,11656,-1,468289,-1,876772,621487,941421,308641,-1,-1,-1,-1,-1,574026,843681,-1,-1,533801,740832,413819,496257,383027,44719,-1,555247,834509,414791,-1,-1,-1,866098,431425,-1,-1,-1,-1,310750,-1,-1,-1,490297,296439,270393,412862,353042,-1,-1,807897,601201,246846,576544,783246,-1,-1,-1,-1,333568,219531,942889,599013,-1,-1,617320,43026,708017,-1,395005,-1,657467,695924,146118,-1,-1,-1,-1,-1,235985,-1,-1,-1,162324,480567,880248,415923,-1,-1,-1,-1,-1,-1,842008,303137,654879,-1,964490,-1,-1,-1,-1,-1,164250,-1,835547,-1,-1,87425,15846,367450,704606,-1,-1,878851,302310,406444,628570,-1,-1,519884,801435,-1,675679,294481,-1,7137,237513,462121,-1,75664,-1,915619,554187,-1,-1,526181,532501,408660,-1,834335,796982,-1,-1,10178,768305,56824,182798,-1,883104,174078,741761,808811,707116,46713,-1,-1,-1,-1,513529,-1,-1,-1,112064,623406,-1,-1,-1,894325,68233,667897,-1,-1,-1,71102,676544,558011,271867,983040,193124,225510,-1,991603,-1,-1,-1,-1,-1,771048,-1,-1,885379,258079,34957,525163,-1,662161,-1,722827,-1,997242,959669,-1,-1,929819,-1,875213,804394,-1,144896,922554,-1,764969,-1,-1,-1,-1,942948,-1,-1,2455,914045,-1,-1,-1,-1,-1,566095,34581,-1,-1,-1,878915,771462,998601,-1,-1,-1,693023,815320,33995,503092,524276,394660,439547,258751,204917,-1,-1,-1,-1,-1,430985,48819,949478,819515,252479,750634,87263,-1,-1,918976,-1,823304,903673,-1,209982,71871,424344,752978,-1,-1,-1,-1,-1,-1,-1,225690,589324,-1,789778,-1,-1,-1,83101,246230,-1,844196,-1,249230,798301,958063,-1,957118,-1,-1,-1,-1,-1,-1,-1,953226,-1,30505,947411,942528,-1,-1,-1,675820,-1,863401,-1,-1,222500,320155,-1,-1,959943,207201,-1,-1,-1,-1,-1,769537,-1,887879,-1,765399,451945,107855,-1,-1,-1,598873,-1,544994,-1,-1,-1,418225,799201,722496,-1,653840,-1,-1,14159,841798,984209,231018,-1,-1,-1,686410,-1,-1,-1,-1,603399,657129,624837,-1,-1,304101,791983,421367,-1,230532,-1,-1,-1,196358,-1,-1,-1,382274,345305,982803,867795,812126,-1,-1,94086,-1,-1,55738,70159,247000,-1,-1,362509,671487,-1,767990,353841,351168,-1,593777,274926,-1,651798,-1,254707,-1,-1,-1,-1,35336,-1,244590,-1,146692,318599,-1,15653,-1,174167,530431,-1,-1,-1,-1,-1,-1,-1,920006,686833,-1,299021,-1,318016,104156,469932,-1,118278,-1,-1,-1,-1,605957,137485,-1,944221,223435,267911,654574,-1,-1,-1,-1,-1,932682,-1,-1,-1,-1,194787,94910,-1,-1,-1,45259,952271,-1,-1,-1,810973,-1,546827,-1,561297,-1,-1,783124,972284,-1,517905,-1,-1,-1,142196,-1,-1,-1,-1,858344,43311,573984,-1,-1,-1,226564,-1,509487,59313,219929,-1,-1,-1,238127,-1,765992,237671,-1,937072,224350,-1,-1,634183,768667,662349,833633,589295,947520,-1,756738,247327,836793,544029,336144,594083,221168,297167,-1,228835,-1,705869,573795,988663,-1,452223,813633,638140,-1,570387,-1,-1,312051,-1,853553,-1,-1,266345,-1,-1,-1,-1,-1,-1,-1,-1,331866,422305,-1,-1,-1,585149,-1,-1,-1,79290,-1,-1,685478,-1,277462,-1,-1,-1,-1,647988,227620,867277,-1,659811,-1,755026,72711,-1,274734,-1,-1,-1,-1,-1,-1,-1,-1,611795,433925,-1,-1,-1,-1,-1,920306,519124,243514,-1,516956,470250,-1,-1,567113,-1,622712,684246,-1,-1,-1,-1,70193,-1,325304,155413,-1,-1,837882,-1,-1,316135,-1,72554,38496,-1,-1,-1,869636,-1,155573,709967,453978,313847,-1,-1,95438,-1,202090,559794,-1,-1,-1,750404,810407,325974,946196,-1,642390,482227,255276,107040,-1,-1,269417,-1,246321,441366,287027,-1,-1,-1,-1,-1,316167,-1,-1,775729,-1,704542,-1,630293,769045,297133,-1,-1,-1,895339,-1,842524,657043,42821,-1,177827,-1,56105,-1,159205,378338,-1,93887,-1,-1,-1,998772,526572,876899,952385,-1,-1,-1,-1,118695,278012,-1,505902,-1,-1,719668,-1,337656,-1,-1,286493,838696,916892,518105,219903,164324,-1,686305,-1,100875,647036,-1,-1,-1,901237,-1,-1,163859,-1,-1,-1,864981,283216,610366,-1,-1,797018,-1,21354,-1,-1,876891,-1,941909,-1,17973,481891,60714,-1,603506,686180,760837,-1,159079,-1,566370,437155,-1,-1,-1,-1,383178,-1,-1,687299,-1,927429,-1,-1,-1,471618,612293,-1,-1,-1,720619,610035,49853,-1,-1,-1,548093,453913,129841,-1,-1,-1,816325,-1,541336,-1,762032,-1,598331,-1,764806,419878,-1,552075,607801,391879,-1,-1,871269,-1,-1,992139,115350,287912,822559,-1,257062,336494,615998,14104,923143,-1,-1,-1,236969,-1,95266,-1,961338,731071,-1,597728,844777,551696,-1,264051,-1,897924,941477,-1,-1,609137,-1,159269,428178,801510,-1,431713,627517,-1,738334,315790,985514,717204,-1,-1,844975,92710,756536,-1,772241,959535,-1,462390,566405,-1,-1,-1,-1,-1,231696,446775,-1,284957,302687,331948,-1,341213,-1,-1,668471,-1,-1,45502,-1,-1,-1,-1,836960,-1,-1,563549,-1,645064,500131,-1,181903,130299,559969,666960,104405,631028,956022,586690,-1,231403,668059,-1,477645,676443,-1,62580,-1,-1,406108,921397,839661,429736,745984,550173,54113,113578,-1,414958,904791,-1,-1,242581,639491,-1,307995,-1,687878,83471,132734,385972,-1,-1,-1,-1,-1,889366,245673,-1,-1,478860,-1,-1,-1,-1,-1,-1,-1,325050,669114,6246,652355,-1,412560,682572,533671,959082,-1,333595,-1,362249,-1,421639,-1,-1,241381,978100,31085,-1,943671,-1,106442,-1,60094,632385,-1,-1,763157,-1,528412,374895,811171,-1,684989,941806,-1,-1,392384,-1,438857,447804,419159,311506,660205,-1,-1,-1,353122,297038,-1,-1,-1,-1,375750,-1,941584,315740,-1,747642,-1,415187,-1,-1,860070,174261,-1,64525,230443,645394,343202,-1,338380,-1,203980,808619,628072,-1,-1,-1,-1,744199,-1,-1,-1,984151,166225,725131,-1,640166,-1,-1,-1,406087,-1,-1,-1,437989,744275,371392,-1,-1,-1,-1,208743,897477,749756,-1,116085,56104,633849,-1,125787,-1,-1,167582,516944,930590,314065,-1,3257,50204,-1,788364,375030,-1,475343,-1,762560,228692,696230,60265,370131,887311,-1,-1,-1,924007,607339,714857,278549,-1,547668,-1,84761,-1,-1,-1,-1,-1,-1,150737,785454,454512,613517,-1,1796,-1,-1,-1,774984,-1,-1,-1,-1,324128,126634,-1,532685,14686,13352,599534,-1,-1,859098,-1,606134,-1,-1,995891,334603,-1,811655,984736,-1,697169,-1,201065,-1,-1,178985,774853,-1,-1,-1,-1,349366,-1,919582,-1,936290,-1,616581,-1,-1,974725,-1,33204,-1,493281,957634,-1,805925,-1,936986,617261,737058,297923,-1,885583,-1,-1,-1,-1,819605,409354,97655,426859,-1,-1,-1,22966,967909,457276,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,738127,-1,-1,777307,-1,83810,519878,392065,-1,-1,64663,327015,855200,440958,122227,-1,-1,-1,-1,-1,932661,573980,-1,642956,-1,353227,531070,313157,276827,559311,52547,-1,242593,-1,-1,585084,-1,580528,-1,957743,-1,143820,-1,-1,-1,-1,219371,-1,-1,692310,-1,160267,-1,-1,-1,667376,-1,973584,321631,-1,317718,-1,-1,-1,-1,720036,-1,-1,323887,-1,571261,-1,766837,954912,-1,-1,-1,-1,-1,123477,-1,-1,364602,653171,-1,-1,751638,401920,-1,-1,289322,675255,-1,768599,916420,238662,300090,-1,-1,592201,181532,-1,525334,-1,-1,503727,177848,-1,298222,-1,-1,543062,280968,576441,152299,-1,-1,-1,467909,94944,188391,-1,880901,695801,-1,880566,423253,151067,126499,218540,-1,729737,-1,-1,-1,62937,509149,-1,940648,-1,534262,-1,-1,-1,-1,369536,-1,169793,-1,717141,826247,-1,-1,615442,122895,-1,-1,-1,22561,12927,-1,-1,-1,239787,963240,-1,-1,744260,-1,-1,-1,773720,-1,422333,-1,903727,-1,685228,589791,31851,-1,-1,669375,31398,269557,532998,954756,-1,-1,796106,395542,546019,166581,348672,475866,-1,-1,345978,-1,-1,-1,-1,186570,510741,-1,776409,41716,813170,133455,-1,-1,-1,954789,-1,-1,-1,607560,199308,-1,365396,-1,-1,906185,-1,832447,614778,-1,-1,82932,-1,-1,-1,-1,-1,823230,-1,613150,-1,38227,65156,-1,-1,-1,901713,-1,584895,510786,-1,94140,-1,94089,-1,-1,-1,-1,-1,452979,-1,-1,-1,-1,-1,155879,966939,-1,-1,-1,662247,700725,-1,-1,71031,-1,812369,-1,-1,956926,330916,296795,612369,634207,-1,516351,-1,407177,-1,670820,-1,-1,812902,490237,-1,981518,-1,-1,491493,197328,996057,751965,-1,-1,313616,91156,141665,496053,783079,184025,5204,896082,-1,981906,-1,-1,491118,320781,-1,-1,-1,-1,936884,-1,-1,811054,-1,-1,661292,-1,956751,-1,34804,-1,590308,-1,-1,-1,850769,200707,-1,172277,557762,152365,724491,-1,600057,-1,899912,-1,778493,-1,471953,-1,-1,-1,-1,-1,-1,610781,-1,24995,-1,-1,-1,-1,-1,259178,-1,291401,-1,-1,938490,-1,-1,-1,-1,-1,842714,-1,-1,919790,-1,-1,-1,-1,-1,-1,-1,-1,590641,828523,931324,804645,610972,-1,-1,631700,-1,-1,-1,760704,982906,391662,869858,870982,809210,-1,872865,352107,-1,496170,-1,924619,-1,-1,900914,-1,-1,-1,168300,155908,605527,391923,765854,689206,-1,-1,78916,60367,804470,-1,-1,-1,822040,-1,-1,-1,-1,-1,-1,-1,-1,-1,920279,805477,481365,35738,942554,-1,390476,-1,802096,-1,-1,265010,995435,-1,687714,-1,-1,-1,878443,-1,-1,-1,991123,-1,-1,828585,713798,-1,657190,809322,-1,993234,-1,600441,-1,-1,-1,-1,653062,694925,-1,-1,833863,840413,-1,-1,-1,-1,-1,493185,-1,-1,-1,-1,-1,404763,-1,-1,549958,234866,49368,625780,-1,-1,-1,768101,-1,-1,888069,-1,552043,202397,-1,-1,831622,232588,732297,-1,-1,-1,994882,948806,719844,925619,-1,817918,-1,-1,391631,-1,-1,-1,666224,985865,818735,103686,513029,177333,-1,-1,356947,-1,152421,578107,474873,-1,-1,967162,376462,578301,801453,-1,175950,154617,-1,-1,-1,-1,-1,-1,-1,84911,-1,-1,-1,-1,123821,-1,-1,479614,-1,742583,-1,-1,-1,-1,176430,120860,-1,-1,855255,164421,-1,-1,-1,-1,-1,786584,394989,660454,-1,-1,-1,817406,508321,292364,12649,-1,963883,236745,-1,336226,-1,-1,-1,-1,61752,-1,-1,-1,43989,-1,-1,190775,-1,152963,-1,-1,170377,-1,949502,102771,-1,906725,-1,783338,824448,-1,501866,741979,338957,834688,910478,-1,-1,-1,4362,-1,109190,677612,838556,370660,-1,-1,-1,-1,939222,-1,-1,-1,-1,120960,74494,-1,440767,-1,-1,308930,684024,-1,-1,261943,407590,162911,452763,159287,702409,-1,-1,327605,-1,-1,50027,-1,-1,188498,241931,-1,271688,-1,292806,750099,-1,-1,-1,317335,-1,457591,62940,-1,90338,-1,407358,503565,-1,-1,-1,-1,-1,158663,-1,-1,-1,247362,-1,-1,606403,714740,-1,455085,530844,451283,-1,-1,-1,179674,406031,-1,972324,-1,-1,-1,-1,-1,556574,132033,-1,-1,-1,-1,333879,224500,-1,-1,-1,-1,-1,650665,849894,63451,468458,-1,-1,157878,137606,-1,625018,451225,-1,128689,259212,-1,-1,-1,169061,-1,966050,714807,-1,-1,824862,-1,-1,747569,790160,-1,-1,-1,67633,-1,-1,-1,534358,967721,30307,-1,404010,-1,-1,143990,-1,-1,651937,65975,896118,-1,803826,-1,268275,361480,302554,658262,-1,-1,-1,71677,329686,-1,739738,213446,-1,-1,-1,-1,560025,402598,944613,148401,-1,441502,244111,-1,895810,439459,295700,165460,629746,-1,-1,719704,311446,-1,589704,343572,477290,290916,-1,-1,328086,614719,-1,829592,890147,355791,937480,-1,-1,105844,664286,-1,-1,614155,580459,-1,-1,228229,-1,-1,-1,935528,-1,530196,918140,971342,552805,643961,-1,-1,582703,830472,-1,137159,-1,-1,-1,-1,118763,381767,-1,704082,537116,935445,384548,28862,-1,-1,-1,-1,-1,70052,9708,-1,-1,995559,923578,271664,-1,-1,-1,540541,20977,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,614304,148069,-1,-1,-1,-1,-1,994133,-1,-1,391415,876236,383884,282520,-1,-1,620143,727336,495620,-1,301601,348133,846336,-1,876685,-1,822866,-1,744262,-1,-1,-1,513748,-1,280751,415898,-1,150846,768921,363812,412255,194634,-1,799056,-1,-1,295338,-1,635600,944198,135891,-1,425402,276218,-1,-1,-1,222778,451683,791313,961067,-1,422388,-1,254335,580682,872889,-1,-1,906789,-1,841621,-1,72380,136823,-1,-1,490984,-1,-1,570900,-1,-1,928906,953250,-1,176990,191736,-1,-1,122514,-1,608049,841566,-1,-1,214091,165182,795339,98273,285160,190657,145179,-1,218030,857062,967720,107235,366727,-1,2297,20297,360000,676282,-1,834720,651214,-1,432988,237299,940759,-1,-1,-1,507516,-1,-1,429513,-1,-1,-1,984150,-1,-1,-1,775301,374682,-1,-1,820698,-1,160153,-1,-1,-1,-1,-1,522315,-1,-1,-1,-1,528477,-1,-1,-1,35261,650526,-1,-1,-1,557952,19338,746867,-1,158479,-1,-1,47789,-1,-1,606323,-1,525040,341597,113774,316287,866853,-1,-1,-1,826290,-1,871911,-1,-1,153889,504445,-1,206758,274783,-1,342,476589,-1,-1,176117,751314,719469,713734,90263,337973,211155,-1,106668,-1,-1,779435,622734,361069,736151,-1,-1,548104,-1,-1,-1,-1,747799,-1,-1,-1,557393,-1,-1,521741,-1,79173,119009,214374,293522,319019,224652,-1,518277,832308,318978,-1,221548,619145,568797,809456,-1,-1,847827,638709,39556,-1,718748,-1,621409,-1,-1,-1,-1,559902,-1,-1,577083,366129,-1,-1,984168,-1,757763,420561,-1,-1,-1,-1,-1,125931,437153,-1,-1,-1,716620,-1,-1,109543,426425,-1,-1,-1,737529,-1,173180,370104,6900,602056,-1,445371,-1,783845,644819,-1,677062,475688,-1,-1,-1,-1,-1,-1,-1,-1,277745,-1,-1,744950,-1,594413,947002,944266,711733,-1,-1,401674,-1,-1,949,-1,-1,-1,-1,563787,801701,-1,-1,697795,-1,-1,-1,-1,-1,-1,-1,-1,351800,765960,665667,-1,504072,-1,903347,451492,275141,-1,-1,-1,240580,-1,-1,678014,769674,326647,546621,-1,475353,-1,-1,646178,-1,775536,799063,304190,630777,541239,-1,-1,-1,-1,169578,852243,-1,336082,439433,-1,-1,-1,-1,-1,-1,-1,777478,230861,956932,-1,790542,959851,-1,544985,-1,-1,-1,-1,828752,235277,-1,420656,-1,-1,543575,-1,875201,-1,533788,848730,401667,-1,-1,140574,431038,66640,-1,637024,291203,-1,998748,-1,-1,324224,701164,-1,-1,288051,965828,194599,631712,-1,-1,45912,-1,291948,127483,-1,-1,-1,-1,-1,325768,637535,-1,775597,784374,-1,-1,939625,274382,-1,428445,487140,634474,-1,127812,355792,542972,-1,246213,-1,300229,422255,984632,-1,-1,-1,428451,133425,298224,703539,-1,-1,-1,-1,274773,-1,61050,-1,-1,-1,-1,-1,-1,-1,-1,608238,941240,800950,-1,-1,490219,-1,-1,975219,-1,-1,24278,-1,-1,101246,-1,-1,741518,387135,958041,-1,102005,-1,-1,14519,-1,532895,-1,-1,-1,-1,599195,-1,-1,103644,477113,943316,-1,-1,719835,240959,679286,-1,-1,-1,-1,220267,149994,-1,-1,-1,282144,-1,41060,-1,-1,314448,943738,-1,-1,605749,-1,-1,989468,287046,194204,-1,-1,-1,336202,854780,-1,-1,204705,45165,-1,324841,-1,-1,905664,577787,175720,775394,677395,740395,600088,-1,-1,-1,691584,193241,517237,334403,659939,-1,-1,-1,829079,-1,-1,-1,31341,-1,-1,-1,609516,-1,-1,155900,260473,472274,-1,680960,260825,-1,595163,595775,-1,-1,-1,192332,-1,786879,-1,613203,-1,906879,369176,-1,-1,-1,969830,52956,-1,-1,284745,682073,-1,-1,-1,151169,172263,-1,525018,-1,589875,-1,598803,593395,-1,-1,-1,-1,-1,-1,670913,-1,194670,-1,-1,-1,-1,-1,343884,-1,-1,548111,651960,451545,-1,-1,-1,-1,-1,863014,-1,-1,-1,756053,-1,919031,-1,-1,-1,381628,-1,-1,-1,-1,912415,366627,-1,931373,284549,-1,-1,226631,895794,62710,-1,4798,-1,616096,726537,-1,749667,-1,-1,68769,-1,-1,338932,-1,-1,-1,-1,-1,-1,870166,396632,-1,815314,-1,-1,247297,486310,-1,-1,532087,-1,38329,46778,834405,-1,850861,133789,905450,-1,-1,-1,-1,93038,185159,456766,-1,637859,914776,-1,-1,-1,-1,711533,452143,754367,100617,522925,-1,-1,-1,201763,511338,-1,12775,-1,-1,-1,-1,349660,939519,-1,-1,-1,284129,971007,439241,-1,-1,-1,-1,303491,-1,-1,-1,-1,-1,-1,-1,543101,132254,888958,-1,650326,-1,-1,197406,-1,-1,-1,808816,67512,-1,280944,341264,-1,-1,157706,-1,-1,50963,-1,-1,222648,530574,988492,994729,175015,495840,25790,-1,-1,-1,-1,-1,-1,863188,707213,-1,979946,-1,-1,-1,538940,-1,-1,-1,-1,339302,141159,-1,-1,-1,133378,-1,951539,-1,-1,-1,911556,723086,992561,-1,-1,360821,54784,328153,998333,-1,-1,971129,-1,654156,806029,389000,991367,-1,449559,125837,-1,495195,523437,-1,-1,-1,66827,-1,574807,917880,-1,-1,211917,716353,922871,28790,11661,525961,-1,905263,-1,333520,-1,99877,995704,229774,236137,-1,-1,81551,-1,-1,545144,-1,-1,-1,44453,-1,-1,506326,-1,-1,-1,400370,887077,355646,194297,751682,345686,743664,883774,725826,828263,416979,245204,-1,-1,567367,-1,365992,456102,491443,989150,-1,647299,-1,658482,-1,-1,-1,-1,576835,-1,-1,548455,-1,517741,-1,-1,711089,-1,23572,-1,-1,-1,-1,-1,-1,-1,-1,797556,-1,410553,735691,-1,-1,351133,693826,-1,553031,2617,-1,-1,155020,-1,166463,-1,128673,726690,29961,315184,-1,-1,216370,260161,788964,-1,26004,880184,-1,-1,500796,-1,236937,-1,-1,861063,-1,151441,-1,164168,50539,-1,991779,806353,631526,76732,-1,-1,-1,461893,-1,-1,982631,-1,-1,-1,-1,445336,362548,431434,-1,-1,-1,-1,-1,-1,-1,-1,447842,942934,491342,712876,806492,697723,-1,140525,-1,-1,-1,-1,883964,894035,-1,-1,507769,419987,-1,918301,-1,914344,583442,-1,-1,-1,-1,-1,-1,945712,178454,-1,-1,-1,-1,-1,-1,340646,-1,446876,452815,-1,-1,-1,549576,362376,430441,-1,985159,-1,-1,-1,-1,-1,-1,-1,531246,-1,-1,38153,968150,766388,841910,-1,525359,-1,300933,-1,306297,-1,-1,764896,936930,-1,-1,-1,-1,199167,367200,752844,51779,308743,286342,913404,51435,-1,415481,-1,-1,891642,652738,-1,-1,160217,125788,636983,-1,-1,-1,-1,-1,858854,326697,-1,769913,-1,588609,447987,-1,-1,-1,-1,872092,-1,-1,-1,-1,-1,950498,654699,-1,-1,-1,-1,610351,121276,265368,-1,979536,-1,975551,-1,344074,-1,102896,-1,-1,55036,660477,-1,18081,-1,-1,-1,-1,-1,-1,674715,941034,419699,-1,-1,-1,-1,451101,-1,-1,-1,761841,-1,227803,-1,-1,865177,555202,680522,-1,-1,-1,974991,-1,-1,651972,-1,-1,-1,-1,387628,-1,-1,861858,-1,-1,-1,188413,-1,-1,-1,964970,-1,-1,250775,16854,-1,-1,300521,121693,-1,784665,450864,-1,828308,-1,6636,189260,406719,178054,-1,143324,916819,-1,-1,-1,203616,-1,822203,522812,976200,-1,-1,-1,117039,332654,-1,-1,211400,-1,518461,890053,670890,563295,-1,576317,768446,-1,-1,-1,39940,-1,197635,-1,-1,257949,258773,444286,45745,434825,-1,-1,390574,-1,914472,-1,501739,-1,-1,-1,747011,-1,501044,151515,682767,-1,709879,-1,-1,-1,267465,281433,-1,-1,-1,565926,426869,223237,646512,151856,4769,429670,826685,-1,-1,-1,-1,563143,-1,-1,-1,643437,409067,-1,-1,540250,757717,447345,-1,-1,387182,477606,-1,-1,408940,863226,223168,224907,8447,-1,162564,872725,890210,-1,403653,-1,-1,-1,477342,869158,459529,726136,-1,283691,-1,-1,-1,-1,-1,-1,-1,461252,948395,-1,97618,516824,-1,-1,192063,247915,-1,-1,543834,-1,-1,115756,-1,-1,-1,-1,-1,-1,39569,-1,662419,160404,-1,931705,863315,541835,-1,375947,-1,-1,511584,-1,-1,933900,627143,584489,-1,-1,449335,-1,-1,-1,-1,544584,-1,-1,-1,391788,613268,-1,-1,66159,378711,331847,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,39679,672673,469998,-1,-1,-1,-1,549115,-1,24946,-1,-1,128608,-1,-1,515004,266077,-1,-1,-1,889285,-1,153654,-1,-1,809814,43355,458441,-1,394293,346392,199865,495127,145485,340301,-1,-1,271014,508167,31327,117065,15107,20565,171869,-1,86070,117388,864229,-1,-1,25214,-1,-1,-1,-1,535403,-1,-1,10149,-1,855493,183409,-1,609174,165335,-1,-1,-1,957068,-1,809758,-1,143304,922527,380820,565210,585081,124742,29172,-1,73546,911954,57636,-1,-1,192975,846538,-1,-1,439814,-1,337851,97441,-1,-1,-1,-1,-1,369930,-1,117221,271819,265786,-1,306167,898645,907074,93939,-1,-1,-1,-1,834554,788868,174184,-1,248930,-1,139101,821765,241930,401991,-1,-1,77078,953418,164604,491516,-1,-1,-1,757316,928698,-1,585655,122503,89971,-1,-1,615221,-1,773363,268263,891254,429234,50099,345470,-1,-1,502337,643149,-1,-1,-1,-1,17442,147978,347260,322335,788124,-1,-1,319513,-1,-1,-1,129779,-1,-1,-1,553955,-1,-1,-1,-1,-1,18890,-1,-1,10500,892604,680648,-1,657829,190270,786376,-1,434131,-1,-1,454352,289465,-1,-1,-1,-1,-1,562938,-1,306943,-1,851712,881772,579999,88021,972243,871762,869521,-1,-1,107027,346750,288755,342198,-1,-1,-1,-1,-1,-1,239151,549382,-1,-1,-1,861029,-1,716835,-1,-1,615223,452108,665570,-1,-1,-1,-1,738875,-1,-1,808544,809399,278636,786883,-1,259405,-1,427761,-1,-1,-1,-1,99768,-1,990393,567566,389447,-1,-1,-1,-1,429646,-1,329162,-1,-1,468303,-1,72288,-1,371679,473593,839003,-1,55702,-1,6833,-1,879641,411206,-1,767839,-1,200010,-1,609823,925350,499457,394138,855970,-1,-1,986966,749399,-1,-1,-1,109853,29631,-1,-1,33330,466092,-1,-1,577616,-1,206199,-1,181000,-1,358828,-1,-1,815521,697425,-1,-1,357486,-1,453822,-1,-1,758494,435180,-1,-1,399712,-1,-1,947170,170573,-1,-1,814498,705776,-1,230923,500383,-1,174089,-1,-1,-1,205964,-1,788863,-1,202788,-1,945431,-1,-1,232622,-1,-1,280382,-1,255206,955243,-1,-1,618986,944404,-1,-1,-1,660314,-1,354459,514676,980606,-1,-1,989297,509196,476205,-1,-1,255978,646100,651753,-1,-1,228295,852753,-1,-1,-1,-1,352694,-1,-1,524368,-1,-1,-1,-1,683253,493201,425460,-1,-1,-1,-1,-1,-1,735020,811561,698605,-1,-1,-1,714243,-1,417523,689333,152786,-1,-1,-1,178743,-1,413291,41456,328501,-1,-1,170413,651807,820224,918395,-1,-1,-1,-1,-1,-1,-1,42358,872067,242090,782243,-1,-1,745471,-1,257372,557744,198173,-1,751389,-1,-1,-1,-1,323912,430842,-1,599925,366658,899460,-1,604430,998620,234577,395580,-1,331023,-1,700842,-1,996354,85702,-1,-1,-1,710459,-1,548954,991074,377330,-1,-1,493756,122708,426752,-1,871434,-1,129582,150806,-1,-1,-1,-1,-1,396238,582501,469863,832425,-1,925739,-1,-1,17826,-1,-1,461992,600496,82884,-1,195848,99566,947229,746151,-1,-1,-1,-1,737890,-1,-1,203035,402638,972297,-1,745469,1806,-1,-1,150930,-1,-1,115880,230968,-1,591678,734381,-1,537652,-1,883673,193470,-1,-1,-1,-1,826086,518644,-1,207439,226363,-1,274674,-1,561238,443275,858871,383316,533861,820173,-1,764648,448138,-1,-1,-1,941696,-1,-1,-1,163300,233645,37676,-1,907772,-1,314411,637527,-1,601192,-1,520954,498030,87190,583701,900693,581577,-1,-1,845204,-1,-1,-1,936935,-1,134391,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,851143,778530,-1,367147,396429,-1,-1,-1,-1,774383,-1,853499,315920,-1,672714,-1,-1,660351,-1,-1,-1,997962,130644,223379,-1,-1,-1,160941,-1,-1,152537,705187,-1,-1,-1,-1,942761,-1,342817,665572,-1,-1,-1,294045,-1,-1,12467,-1,-1,-1,-1,-1,240137,-1,232882,698642,-1,-1,-1,38037,-1,-1,-1,-1,-1,797695,-1,-1,-1,-1,889993,-1,402880,-1,173163,-1,-1,-1,-1,243379,-1,-1,97013,410167,-1,87246,-1,-1,-1,219353,-1,444756,233996,-1,408452,44056,644198,689480,-1,-1,31860,-1,-1,941128,-1,-1,-1,-1,-1,118188,-1,731338,497883,279095,-1,60434,-1,66257,736861,85728,388215,-1,-1,560849,161335,974592,348594,575382,-1,760298,-1,308422,-1,-1,-1,-1,-1,-1,-1,-1,-1,673493,-1,138634,612785,587541,-1,734378,-1,-1,-1,549287,-1,150143,656890,-1,-1,224847,477442,671867,572422,-1,-1,551581,-1,-1,-1,692476,-1,627863,-1,-1,462293,-1,56757,174877,-1,373233,333597,-1,-1,893817,748943,-1,690723,869845,579618,473307,235226,31109,383138,-1,-1,-1,-1,-1,-1,-1,986777,138522,-1,-1,-1,-1,239021,399596,286776,317355,-1,323283,-1,-1,379894,-1,-1,-1,-1,-1,587465,853071,824958,-1,633926,754186,-1,358758,446041,-1,-1,477391,-1,379260,485255,855636,73826,-1,127998,-1,342653,-1,-1,759237,-1,-1,-1,725937,474396,2966,909922,923543,-1,786792,-1,-1,728616,261273,572863,-1,552483,-1,-1,539386,-1,270435,-1,682938,913587,163940,162313,825450,-1,-1,530514,-1,898571,-1,462803,-1,59443,-1,241019,729113,-1,311792,-1,165539,-1,691302,402713,-1,714751,889540,-1,-1,438858,-1,549671,-1,5212,-1,297102,254439,-1,-1,-1,416253,838372,-1,337226,908778,798047,-1,-1,-1,-1,984267,-1,75257,274859,-1,777311,-1,441118,949456,-1,950544,-1,3364,-1,718970,-1,-1,-1,653659,-1,-1,-1,-1,-1,-1,38179,123438,-1,-1,351187,-1,463705,-1,799308,962474,504913,291664,338653,419816,902113,-1,217364,-1,-1,-1,-1,-1,466409,-1,-1,936168,400019,-1,-1,-1,-1,800475,335421,146049,-1,-1,-1,-1,852783,-1,-1,-1,-1,-1,646730,40729,373279,-1,-1,965516,-1,767496,448567,556281,403044,15887,573427,446198,-1,-1,-1,-1,889464,131849,66915,67284,961836,143604,-1,-1,-1,-1,433803,-1,-1,842252,678625,613915,-1,-1,718289,81831,185331,573625,-1,539540,-1,321749,68015,-1,295189,863962,-1,248043,-1,-1,-1,528849,47095,-1,-1,741691,-1,7617,333203,754820,-1,929233,937432,-1,-1,458212,-1,-1,-1,83880,-1,-1,-1,778312,450434,139140,857950,655763,-1,-1,-1,419001,148480,352768,-1,-1,-1,-1,406592,-1,213509,918038,511308,-1,49244,-1,778806,444662,-1,974176,588532,-1,-1,-1,-1,-1,-1,484889,-1,270132,-1,-1,-1,-1,809641,-1,-1,850403,761246,-1,983715,326859,-1,-1,-1,643763,-1,334984,198200,452404,27098,-1,-1,-1,775723,-1,-1,101182,-1,-1,766404,-1,897282,538646,-1,412513,719416,187362,-1,915756,693415,-1,627030,-1,453258,961278,-1,850441,-1,816303,-1,-1,-1,577041,-1,889339,-1,-1,-1,-1,245895,-1,-1,988129,-1,-1,-1,236675,165617,-1,-1,798459,783048,290605,699305,920995,349067,879340,-1,-1,156501,901250,-1,-1,-1,129306,647894,-1,245945,-1,-1,-1,387765,619468,-1,87563,-1,438816,183575,-1,403009,124975,418376,860508,380747,758883,-1,-1,-1,-1,968743,36567,-1,912991,-1,-1,510757,-1,-1,-1,-1,-1,-1,-1,57162,-1,693749,-1,-1,-1,-1,821496,760757,808762,372801,627572,-1,391495,463364,645864,407964,912217,999194,35842,194663,-1,-1,-1,834212,57597,-1,14554,691982,952545,-1,-1,-1,959743,-1,966279,954043,-1,-1,670139,-1,-1,186662,-1,-1,517047,-1,-1,-1,-1,-1,-1,-1,-1,663554,545223,614775,509100,872730,-1,343217,-1,-1,406047,236838,-1,-1,54135,-1,-1,-1,-1,336407,-1,-1,-1,817481,737456,-1,-1,-1,-1,94621,142687,632244,810781,-1,84514,-1,497825,-1,632265,694662,608351,211563,225068,-1,-1,3156,-1,-1,-1,-1,-1,-1,-1,-1,641847,680682,-1,-1,-1,-1,558559,-1,-1,496769,665128,-1,-1,-1,367174,111682,125252,-1,-1,-1,-1,-1,56881,266982,-1,77462,-1,-1,597749,980522,-1,-1,164852,-1,110724,121361,-1,563860,-1,782399,-1,71561,425875,905877,454128,-1,-1,668518,-1,-1,675909,117046,-1,550858,-1,-1,342504,-1,533268,-1,138349,-1,-1,412279,-1,35911,270319,841776,-1,36117,-1,-1,680904,436462,132675,408999,831181,379187,694185,-1,-1,15500,-1,539762,-1,348910,-1,860712,-1,33001,-1,169628,141654,33826,-1,871194,-1,172579,-1,911454,939755,-1,437163,-1,248104,-1,175718,-1,379443,299298,130703,694513,-1,733121,923703,-1,664627,-1,-1,159708,-1,820873,-1,234725,-1,-1,992852,-1,-1,-1,-1,-1,-1,-1,-1,178709,830448,601342,252039,611623,620267,-1,-1,-1,-1,758186,323175,569133,-1,139997,-1,-1,681861,689312,-1,882930,234609,-1,320502,564175,473434,-1,107361,-1,755241,689140,912305,402415,498913,-1,543875,150618,-1,-1,215165,263220,77964,-1,-1,550966,592454,286171,828850,-1,489504,782199,-1,359932,-1,-1,-1,-1,-1,-1,-1,-1,906420,-1,-1,-1,520032,-1,-1,265200,86489,855862,654037,-1,768129,-1,-1,823422,893079,389047,893898,-1,902824,70175,-1,675201,-1,456148,850781,-1,810184,932052,-1,211832,-1,651507,-1,-1,-1,45022,-1,-1,813038,-1,-1,-1,-1,-1,303901,-1,16617,978717,496853,476444,-1,-1,-1,265439,-1,-1,575593,-1,-1,-1,179055,-1,356936,486694,632822,-1,461176,-1,-1,568264,-1,262190,-1,-1,831487,-1,595694,100909,865784,756150,882704,3931,-1,762854,818999,915426,-1,868759,699552,-1,870296,-1,670151,-1,402466,776633,273310,-1,167223,913015,955302,-1,152093,-1,-1,-1,690627,266650,520062,-1,122230,-1,86136,234841,-1,-1,-1,918208,217371,931376,274573,591226,-1,-1,787109,-1,-1,151007,937776,-1,241399,-1,942175,-1,-1,-1,74052,-1,-1,492145,779094,224910,770339,-1,-1,-1,369530,284881,-1,-1,-1,824090,-1,-1,-1,-1,-1,-1,549113,684072,770140,576291,965499,-1,-1,20775,351841,876605,436671,827786,-1,241089,-1,-1,579281,46481,360896,-1,-1,-1,-1,-1,-1,-1,-1,62105,811799,-1,-1,358004,957235,605234,465302,659147,19010,-1,310974,6823,-1,-1,-1,-1,-1,-1,-1,831426,-1,-1,836943,737131,450949,662548,382704,-1,-1,-1,383190,142353,-1,81518,-1,-1,-1,-1,-1,726132,545463,902898,73890,745326,-1,243524,266969,-1,31141,-1,-1,785897,912477,-1,-1,-1,-1,-1,-1,847097,-1,-1,349058,-1,-1,-1,-1,506061,639133,-1,98983,-1,-1,825968,-1,-1,585836,-1,46531,-1,702921,-1,87908,-1,-1,-1,293193,730846,-1,-1,-1,-1,-1,774303,687954,243402,-1,758277,-1,447461,-1,-1,463021,587670,-1,500348,334421,126102,-1,-1,948439,-1,-1,-1,-1,990742,527767,-1,-1,-1,613163,-1,643178,-1,-1,507605,374500,-1,-1,332978,899953,410198,225008,-1,-1,28104,655645,865736,-1,363915,630187,699867,360148,208985,69843,-1,-1,690711,-1,720995,798105,94628,-1,-1,70744,264238,-1,-1,967099,868058,437189,199147,-1,751508,971526,963200,-1,-1,-1,689855,969931,772555,39357,-1,309163,-1,684106,-1,-1,498302,36054,414564,-1,-1,-1,457831,935914,-1,981476,-1,292484,-1,-1,440394,-1,920478,-1,329635,-1,-1,-1,-1,555156,-1,457015,573374,-1,-1,-1,610669,-1,948502,245252,728496,288691,675541,155098,106400,-1,-1,348402,-1,504317,798,97064,751817,363107,-1,802565,105551,3219,116906,625633,-1,-1,-1,-1,20074,737735,-1,249880,998334,-1,-1,-1,-1,-1,427936,-1,350673,-1,190614,732866,-1,186294,733970,-1,885008,575352,-1,-1,95159,-1,-1,589417,-1,-1,-1,-1,-1,-1,163157,201107,524069,-1,-1,661585,707068,-1,855534,-1,175397,-1,-1,-1,-1,345222,-1,850811,-1,660866,255453,-1,-1,-1,776267,599111,269834,405465,-1,702954,64239,-1,-1,-1,-1,-1,747635,-1,-1,-1,731646,-1,-1,33024,-1,261181,-1,-1,-1,-1,-1,235569,-1,301613,17345,-1,940865,793229,-1,-1,352293,873116,-1,-1,917769,457273,-1,561440,881138,935157,869368,-1,-1,119097,909873,-1,-1,365192,980442,-1,192775,-1,-1,-1,-1,-1,893775,-1,961993,476442,-1,860763,-1,-1,-1,-1,-1,596514,772369,-1,-1,50249,-1,848705,-1,-1,-1,-1,825966,215745,-1,430482,-1,653736,878143,394695,-1,-1,908373,-1,668761,-1,-1,468271,-1,165171,-1,597359,162637,-1,-1,541684,-1,-1,494514,-1,434847,-1,-1,-1,-1,383579,-1,778432,252593,-1,-1,-1,-1,879493,-1,936703,182185,-1,263789,134093,86694,-1,-1,79501,-1,-1,717885,-1,733454,-1,775419,-1,-1,-1,819221,408266,292600,-1,-1,596578,-1,-1,916786,173188,577430,-1,610121,793889,848228,148042,-1,-1,-1,-1,554461,385102,-1,-1,407676,265468,-1,263430,428431,-1,687312,-1,939395,245008,913738,-1,427971,-1,-1,779430,562683,-1,-1,-1,-1,-1,-1,-1,-1,-1,726002,-1,434414,132527,-1,848756,569446,-1,-1,834415,-1,-1,-1,833156,559315,520569,150951,-1,-1,-1,837208,494437,599203,-1,372441,204749,-1,824019,743816,15911,-1,22825,-1,396182,488665,-1,180638,-1,400354,48718,-1,490696,689197,194246,-1,995728,223243,692340,577338,-1,-1,472168,-1,-1,676804,577513,-1,-1,-1,942472,-1,769320,635571,188409,-1,-1,-1,-1,323279,645589,817793,-1,146401,517405,348656,903690,463598,-1,623283,-1,793496,-1,391463,-1,-1,969899,331094,626387,-1,17101,841718,163233,-1,-1,-1,735695,628510,311244,63016,643642,110208,-1,217810,240838,-1,-1,812460,-1,-1,80398,-1,-1,-1,-1,861977,-1,737362,240609,-1,-1,165731,-1,-1,-1,-1,853042,-1,-1,55541,588540,-1,190952,889311,406576,-1,288589,-1,-1,-1,-1,581430,-1,854626,-1,-1,185143,722099,-1,458653,183471,714235,-1,-1,-1,-1,488924,-1,945451,-1,634287,-1,460444,787361,195428,230116,-1,-1,247647,-1,386547,-1,214083,38110,716920,837710,-1,675754,980791,-1,-1,88928,-1,868022,979950,-1,-1,-1,-1,-1,-1,441435,458084,-1,-1,-1,-1,-1,-1,655132,-1,582707,252865,-1,612523,-1,-1,761074,450136,-1,-1,-1,669083,883753,394292,-1,-1,853692,-1,318055,636268,-1,-1,-1,781846,-1,9579,554900,-1,424323,-1,-1,-1,-1,-1,859750,-1,121402,643358,-1,-1,-1,103472,542776,-1,190785,355408,-1,-1,-1,-1,407527,-1,367556,17511,-1,-1,-1,248184,791484,-1,-1,-1,54393,-1,327111,-1,-1,23430,-1,-1,761274,212770,-1,-1,-1,140923,-1,33780,-1,-1,111489,-1,-1,759037,903479,-1,-1,-1,574783,-1,601862,-1,-1,821856,528984,-1,141631,837516,216232,-1,-1,-1,832695,644373,493541,-1,-1,-1,529654,28881,-1,-1,973315,-1,-1,-1,622403,-1,112544,-1,-1,-1,-1,624754,845564,984112,65689,718523,-1,493214,-1,-1,318283,136058,-1,754051,221569,-1,318891,629245,4334,-1,-1,-1,-1,-1,-1,319870,-1,-1,-1,-1,298789,-1,-1,42754,989945,424392,-1,275554,730539,412102,102329,183000,-1,720367,611735,841543,-1,960864,-1,-1,-1,-1,213251,622410,433268,400128,313344,-1,-1,-1,681535,-1,105718,-1,-1,-1,712137,259959,-1,-1,301145,588137,575275,-1,-1,338053,708487,-1,520386,928271,-1,434518,707316,768763,204327,-1,646671,-1,-1,-1,-1,-1,-1,582617,-1,-1,-1,503846,-1,-1,-1,-1,446989,899051,-1,-1,335675,-1,469521,-1,691986,-1,-1,488184,-1,-1,633310,157228,-1,-1,-1,-1,487411,885638,339126,-1,-1,98428,-1,805109,-1,-1,496691,-1,-1,-1,451904,826780,-1,900061,214355,96024,-1,-1,-1,-1,533003,-1,-1,-1,-1,-1,875804,-1,311882,128782,893354,826805,-1,-1,-1,779547,-1,31740,-1,73716,101039,88183,-1,-1,-1,310522,-1,74224,142579,68211,88038,621286,863494,327201,-1,26596,586133,-1,917289,-1,865980,931490,-1,360087,351314,545738,494851,702267,-1,248397,436895,363548,-1,-1,-1,655562,-1,-1,872214,-1,-1,742115,-1,489323,-1,149175,-1,648,-1,261947,-1,666846,-1,424728,462622,-1,-1,-1,836876,-1,-1,-1,619139,116436,112633,-1,833225,76589,-1,938935,-1,539502,656739,-1,-1,-1,545583,367639,-1,-1,370110,-1,749530,-1,812081,701553,-1,-1,-1,-1,-1,988163,326579,13151,524415,970663,608055,-1,201016,575056,859214,-1,899311,-1,641370,772347,435463,-1,-1,-1,492650,564768,694539,930351,-1,-1,86571,-1,-1,546889,-1,374766,-1,935586,-1,610582,934911,133920,622941,-1,685271,687803,475624,-1,266362,-1,439020,327726,-1,-1,201480,742649,118735,149484,-1,-1,248461,469539,-1,-1,272450,349038,718783,417091,-1,-1,43424,654276,-1,448333,630167,-1,-1,399935,-1,53386,996248,92439,317659,-1,204348,-1,449606,157280,681137,-1,127033,861793,-1,-1,-1,-1,92933,-1,-1,-1,-1,-1,-1,-1,-1,-1,930251,378088,-1,-1,696941,243898,-1,-1,-1,371760,-1,-1,-1,-1,-1,89572,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,145947,-1,-1,-1,-1,667530,-1,-1,-1,-1,622520,-1,1587,-1,-1,-1,-1,-1,-1,-1,-1,-1,155752,-1,-1,411054,-1,395504,698516,142819,-1,-1,-1,-1,76307,679502,579110,15840,892605,109256,-1,921306,-1,50907,286165,-1,794343,-1,691795,-1,-1,496843,721225,589005,-1,-1,-1,565768,345780,-1,403273,-1,-1,195309,883234,373880,245127,-1,658395,652729,-1,-1,-1,-1,216868,196093,-1,456557,-1,851091,440253,346935,438060,634821,-1,-1,44359,933677,-1,-1,794284,-1,-1,-1,-1,-1,-1,-1,711752,-1,-1,-1,936082,8221,-1,-1,-1,226977,21966,45438,859371,35060,-1,-1,-1,-1,-1,520175,842018,323022,-1,-1,150272,-1,-1,-1,-1,-1,-1,-1,-1,-1,44742,732961,-1,-1,-1,263183,737497,-1,223560,-1,-1,-1,-1,379228,348427,-1,184402,692794,-1,25695,-1,62393,-1,-1,488119,608747,-1,-1,-1,426212,316161,-1,273667,797824,-1,-1,222573,788911,-1,356317,-1,781743,-1,138350,928072,206822,-1,-1,-1,848997,-1,-1,-1,405282,-1,578745,705356,-1,147262,-1,914481,-1,760854,-1,-1,-1,575725,-1,165558,-1,-1,-1,560475,635157,-1,913225,108456,-1,716804,712405,990617,219932,-1,188931,822487,-1,583794,777446,720285,-1,-1,203528,-1,467903,-1,152392,-1,-1,-1,408301,932153,-1,877853,986906,128291,-1,640365,886647,231411,-1,471199,173849,818842,328864,-1,437119,787594,351622,-1,267892,134786,91673,119450,688197,-1,808643,-1,992993,314847,865545,-1,-1,534392,-1,-1,280058,485280,-1,331783,673327,625406,-1,940017,-1,-1,816975,-1,-1,308574,-1,-1,-1,538339,492790,-1,-1,-1,-1,112092,-1,955160,-1,720110,-1,320925,-1,469909,559917,-1,-1,-1,-1,996616,-1,-1,496778,-1,-1,674284,141945,-1,-1,402290,612727,776013,922863,-1,581232,527049,387676,-1,-1,-1,-1,-1,382037,809793,827318,-1,445860,-1,-1,-1,-1,469657,-1,670633,138033,-1,-1,526147,143850,372233,-1,221553,-1,-1,-1,-1,-1,-1,995960,-1,-1,-1,-1,829619,448815,782489,926814,838478,3674,-1,218115,-1,917810,-1,21591,995416,-1,-1,-1,666745,-1,922794,-1,-1,52617,986585,59241,126538,644379,482254,430487,771335,441559,369199,347337,212816,293183,-1,549,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,415201,-1,322529,-1,494325,182310,897572,-1,618678,-1,275344,957851,-1,-1,376057,236435,618542,605222,-1,401522,237417,852237,-1,-1,321717,411628,-1,458059,674388,-1,-1,-1,-1,-1,-1,332461,705710,-1,-1,465321,804333,-1,326312,727834,-1,682353,-1,927666,-1,-1,-1,-1,-1,10539,892002,-1,-1,371326,187363,129994,158632,-1,486253,-1,-1,-1,13595,-1,-1,69145,-1,485058,-1,766548,-1,-1,-1,410833,-1,-1,-1,311257,-1,918400,529695,894144,729032,146198,249362,787738,835196,-1,883867,476228,-1,314039,352488,791553,399946,248085,606523,774964,775888,223982,-1,425114,-1,-1,231131,119710,-1,819161,-1,910524,-1,357897,-1,6396,-1,973152,548481,-1,907745,-1,-1,158899,832168,-1,-1,-1,-1,-1,-1,877257,-1,487846,-1,405764,184039,478207,-1,276627,-1,-1,497603,-1,932564,463930,-1,71829,852848,135603,-1,150720,-1,148191,-1,-1,234509,-1,-1,-1,-1,-1,484807,983563,209273,-1,-1,325699,-1,-1,-1,808150,51998,251266,373817,-1,800375,-1,171636,564471,141253,872538,-1,654199,-1,998397,613299,767534,-1,809288,407050,-1,-1,700231,-1,337580,-1,368298,-1,790909,-1,-1,-1,-1,-1,500782,-1,-1,47572,-1,20149,-1,582064,862297,375772,-1,-1,792241,-1,-1,112621,555320,-1,553858,465848,-1,-1,-1,-1,-1,-1,712218,-1,235618,805898,387131,-1,-1,-1,978008,-1,49755,-1,-1,-1,-1,750619,-1,227431,701530,-1,-1,142012,-1,-1,-1,-1,-1,709767,-1,609541,-1,-1,30533,-1,-1,512895,520961,616487,-1,23846,661742,552460,129849,195616,-1,909118,-1,537508,367642,662549,455282,-1,129352,236494,-1,-1,489485,975703,-1,-1,-1,-1,-1,348616,-1,-1,-1,639177,-1,-1,-1,-1,792919,-1,598556,543954,-1,836761,895455,-1,351323,-1,85726,-1,-1,469019,303234,-1,-1,959900,-1,226460,498038,240824,-1,-1,-1,642973,-1,259383,-1,-1,808,-1,735939,-1,145730,-1,243952,724789,-1,983515,-1,196968,-1,-1,775622,-1,-1,-1,515060,-1,-1,123844,739280,279757,213302,342643,457037,985108,-1,911722,590647,-1,217170,-1,-1,701811,417051,-1,179798,948810,561341,-1,-1,-1,807188,-1,-1,485199,383409,-1,-1,658450,480936,527945,278456,389593,-1,-1,693900,-1,599853,-1,879299,-1,458043,621359,-1,103204,283380,535782,-1,775948,921779,223199,242935,540669,475512,-1,211440,357766,-1,51584,-1,717620,-1,-1,-1,185245,168292,641376,-1,68126,-1,-1,-1,-1,-1,28259,189313,-1,688703,825750,243406,175372,-1,794381,-1,-1,-1,712849,-1,-1,225481,-1,-1,-1,-1,47327,-1,-1,-1,753253,-1,943568,469176,878987,-1,69539,-1,390519,368332,-1,528369,-1,686075,-1,-1,729488,-1,-1,546705,561431,-1,-1,-1,-1,474457,-1,-1,-1,-1,388185,-1,537958,700629,-1,633429,958130,574895,-1,782944,999272,-1,652892,-1,43099,226883,-1,564404,305728,918360,-1,-1,25704,-1,907033,-1,-1,789249,467442,-1,496807,-1,-1,-1,972331,15059,-1,-1,652606,-1,56766,873419,709102,799534,-1,211728,-1,-1,-1,-1,583864,-1,514718,-1,-1,170945,-1,492952,-1,894547,-1,281463,-1,-1,-1,134593,8582,-1,-1,-1,208817,-1,298290,-1,284189,342045,879519,-1,-1,-1,-1,929831,-1,652953,-1,-1,326128,-1,-1,-1,594735,704257,569014,503505,332961,834639,57292,-1,550271,551474,-1,-1,-1,-1,346974,-1,650471,-1,867702,-1,235269,890821,-1,943796,-1,-1,-1,-1,942896,-1,947573,975832,804089,-1,474037,-1,-1,548863,-1,-1,-1,-1,844723,-1,289589,239269,659204,-1,893520,-1,-1,-1,171407,-1,-1,-1,7240,-1,-1,-1,-1,651319,-1,421813,51271,-1,554532,-1,67671,-1,974738,797689,-1,703753,-1,302091,458170,900713,-1,-1,-1,719002,-1,977640,43676,899428,472681,72814,-1,-1,-1,313995,661762,-1,110659,-1,-1,-1,-1,-1,-1,136343,-1,-1,821350,733487,-1,-1,927183,407411,477369,-1,-1,416766,581796,923531,757178,811018,-1,-1,-1,-1,917825,-1,-1,-1,872435,377061,-1,-1,251932,-1,-1,-1,-1,609763,-1,-1,287026,855979,159020,329645,56658,296677,277338,-1,-1,266931,928837,-1,-1,901858,741569,504752,-1,752807,945944,804567,-1,125556,165920,-1,-1,-1,837838,-1,-1,307415,-1,308822,779259,203848,996651,601430,-1,-1,-1,613453,-1,64625,88852,-1,310462,-1,-1,956680,-1,-1,-1,-1,872749,522781,649309,755973,170039,260857,421216,-1,-1,-1,746979,-1,650937,-1,984978,-1,700063,9653,683667,10415,221146,377603,467218,-1,-1,567670,-1,-1,748748,-1,807991,983092,386342,-1,621308,-1,-1,-1,-1,-1,991195,382448,729151,416011,743803,706234,-1,-1,994178,-1,-1,-1,-1,395394,919320,439710,-1,-1,-1,-1,472811,-1,-1,643258,-1,994412,488692,864628,404670,-1,-1,-1,227571,311480,-1,822313,273708,-1,-1,-1,-1,696089,-1,-1,-1,-1,624698,812714,-1,364969,-1,-1,-1,837419,322790,43681,467534,160664,-1,563971,-1,-1,-1,240898,882727,-1,-1,-1,391229,-1,-1,881555,-1,-1,265747,-1,-1,449663,169767,-1,222027,948512,-1,726775,121860,-1,-1,544676,567560,605587,-1,-1,601457,-1,116803,-1,-1,721159,-1,98853,720420,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,555852,194333,853849,98036,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,17639,-1,-1,924363,-1,-1,915958,109345,-1,-1,-1,178229,564262,-1,129722,-1,71247,-1,984546,62277,768041,345750,11790,-1,585922,-1,246259,-1,-1,-1,-1,670492,329211,-1,-1,389943,-1,-1,-1,424852,25995,-1,-1,-1,-1,110906,-1,448353,947593,-1,682172,-1,-1,-1,-1,-1,871429,612057,-1,-1,-1,91923,794288,9779,835221,-1,-1,-1,929450,-1,607815,873922,-1,-1,-1,-1,897889,641811,514053,730090,750428,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,242401,-1,303086,987445,-1,841609,557808,-1,729684,-1,-1,-1,384493,324069,-1,689429,857305,276676,581386,767314,773337,870498,-1,-1,105675,14659,931994,-1,28748,-1,654079,-1,577761,695342,-1,44295,89520,650481,974714,902560,230996,462717,-1,462428,791323,424868,100341,-1,878255,-1,284459,861551,-1,259000,20968,-1,-1,877884,-1,-1,-1,-1,474756,-1,-1,-1,901337,352288,559815,965771,-1,8741,3341,-1,-1,-1,-1,396190,117229,475410,246876,152737,-1,519443,-1,-1,-1,-1,651924,-1,-1,53036,-1,-1,-1,369439,994832,-1,-1,489337,-1,461707,299497,-1,508016,-1,444284,-1,692475,374650,-1,820476,-1,-1,-1,902040,-1,752210,843226,455122,-1,241541,-1,761009,-1,949568,-1,-1,536066,202434,825694,-1,59997,221,689880,944605,677243,655009,24745,-1,-1,-1,-1,927345,762995,227575,444727,459921,-1,830904,-1,945912,800683,862278,953029,-1,240629,-1,921023,832075,431183,164057,772047,-1,-1,226429,-1,129453,-1,-1,-1,948142,-1,308360,-1,-1,267716,558369,758369,649710,-1,609652,112314,-1,-1,-1,584302,-1,453710,-1,28249,740211,130767,568063,312900,989115,-1,-1,-1,591060,767599,-1,691939,747902,-1,-1,-1,-1,-1,975885,-1,903732,409055,-1,-1,-1,738532,161300,931291,693562,-1,548691,126910,-1,377946,221533,-1,-1,166419,-1,944830,-1,19244,-1,-1,1041,107308,897741,4009,-1,-1,-1,-1,383235,704686,864559,-1,819350,14743,972310,604893,-1,200798,440200,39731,-1,464294,11336,991864,709304,918388,-1,-1,274482,-1,416677,624039,-1,-1,788914,-1,-1,-1,-1,667059,-1,442600,-1,958633,528128,553373,352007,706825,158522,-1,-1,543159,-1,-1,-1,716018,-1,229507,-1,385170,-1,-1,-1,523750,253310,648502,-1,496876,169985,176851,517519,675660,-1,-1,129550,-1,296958,700792,265082,-1,-1,393906,-1,-1,-1,794495,-1,-1,-1,-1,428244,213365,-1,461347,248827,241488,65604,-1,627285,-1,487599,-1,417370,79739,-1,901717,472742,-1,737652,455281,80392,822136,251916,-1,-1,872894,483719,408845,243565,426067,-1,-1,945081,584629,647936,-1,259878,-1,-1,521516,636553,-1,-1,-1,885521,339840,-1,374226,288676,813313,-1,752453,186752,575051,715513,735653,713046,-1,606827,592132,-1,-1,547734,735643,352186,-1,-1,-1,152552,138198,706066,-1,28967,-1,937326,29574,-1,116335,-1,-1,-1,-1,-1,-1,-1,492188,914613,-1,625536,-1,-1,-1,-1,378938,-1,365152,-1,667606,-1,13743,105221,886977,524280,895164,-1,9774,20153,757900,-1,-1,-1,450261,6374,-1,-1,-1,-1,160890,-1,-1,-1,121207,-1,713800,-1,-1,-1,-1,-1,-1,678960,177659,-1,671871,99335,-1,-1,192653,-1,-1,-1,994846,167382,779008,890471,-1,-1,49004,540530,229542,-1,645767,-1,-1,381780,-1,586516,166129,404808,-1,-1,104875,-1,-1,387770,38235,995666,201199,312605,655088,-1,69504,-1,-1,-1,978980,-1,-1,646198,466785,-1,975519,704501,-1,-1,-1,-1,929430,-1,284598,-1,-1,-1,-1,-1,683142,-1,436235,-1,-1,216799,255145,-1,341739,-1,-1,-1,-1,-1,47643,-1,-1,-1,-1,782618,-1,-1,-1,331993,510443,-1,390076,207297,328578,-1,696251,299045,-1,254467,-1,634605,375200,-1,624063,-1,-1,783695,-1,-1,-1,-1,896075,80483,797600,-1,-1,-1,667550,857350,-1,714674,715346,-1,-1,863204,-1,626989,701543,-1,-1,234724,502934,-1,507930,-1,-1,-1,258201,-1,458862,291036,-1,855395,-1,715878,70151,-1,-1,-1,-1,607967,-1,116237,335951,-1,-1,-1,805428,-1,-1,-1,42022,862119,-1,373160,-1,270394,-1,-1,386029,866061,210475,-1,-1,887240,-1,-1,-1,-1,-1,-1,-1,18931,745969,-1,-1,-1,461601,618224,970221,-1,557599,-1,796347,-1,232024,-1,432278,-1,-1,60535,181121,-1,-1,515261,-1,-1,184968,-1,-1,951087,-1,-1,421144,123484,592314,610101,905113,612487,-1,238851,-1,799706,335911,532561,-1,-1,581439,-1,481500,592124,991913,544106,-1,796675,-1,-1,-1,360417,-1,-1,-1,591735,-1,-1,821931,-1,-1,989630,826581,736064,-1,46942,868377,205916,-1,-1,-1,-1,787189,489002,-1,-1,-1,867153,102681,-1,43866,633482,930730,622016,-1,505886,338812,-1,921338,210066,651896,-1,363326,-1,-1,986774,-1,-1,-1,-1,-1,-1,982930,520818,-1,472663,727292,-1,-1,-1,-1,-1,-1,421713,-1,105265,948640,-1,-1,83782,955326,803726,-1,-1,-1,-1,-1,144347,753258,-1,183531,-1,-1,238283,-1,771625,620317,784598,685692,34418,11320,-1,278039,779732,496071,661607,741038,35328,641511,421042,784330,486194,502230,82573,954626,480761,-1,-1,-1,639998,-1,65241,-1,319827,249194,810596,-1,799287,-1,-1,146367,206363,102211,132553,374935,-1,876557,410588,-1,818012,-1,141458,-1,-1,-1,166033,-1,-1,-1,387170,766186,684780,-1,245188,859881,232895,-1,729244,-1,186834,-1,-1,325364,34346,-1,855896,811623,-1,178414,82499,-1,274117,-1,-1,150199,615823,-1,-1,689953,964395,-1,-1,-1,-1,-1,651555,783140,-1,70294,-1,-1,974102,419525,769868,131307,-1,400221,545868,72471,637849,-1,-1,-1,-1,989257,-1,-1,-1,385010,749027,831325,-1,-1,181417,-1,606297,-1,312941,110148,578389,-1,-1,-1,-1,-1,958994,760324,893284,653229,-1,-1,-1,724762,-1,-1,-1,474433,-1,-1,561896,-1,-1,-1,327645,433664,-1,-1,780042,316631,718589,972645,369097,676969,-1,57212,335792,542992,938661,469384,-1,535099,828731,239733,961281,-1,-1,-1,551079,-1,562263,302929,656421,-1,-1,327622,-1,-1,-1,124601,348143,287639,813850,168097,-1,-1,536842,151875,224868,426233,635612,879769,-1,-1,-1,246376,-1,-1,918551,70455,205927,-1,454868,941878,-1,-1,938604,850627,407610,-1,163005,762170,219569,-1,766644,-1,913776,283759,770877,295909,570685,914028,913324,80504,348643,-1,-1,985422,-1,-1,921193,-1,-1,-1,-1,631279,642511,169695,-1,-1,-1,984248,638388,501188,-1,241120,-1,-1,891319,618925,-1,783366,772422,-1,-1,643878,501550,-1,-1,699149,-1,40864,351331,464857,832865,220113,36226,748502,963507,-1,-1,345694,-1,-1,-1,-1,-1,716243,-1,-1,431377,-1,914973,121771,-1,-1,-1,-1,594538,-1,808735,-1,-1,-1,-1,-1,417156,868831,977839,321481,18305,-1,621603,-1,-1,-1,787357,-1,-1,-1,233235,-1,-1,338853,185298,85454,280108,563947,919987,528183,-1,-1,454589,416973,230273,-1,562850,-1,756488,-1,-1,-1,-1,-1,-1,-1,-1,663558,-1,-1,-1,-1,-1,-1,-1,-1,227660,748764,19499,-1,655001,906932,-1,399256,441322,-1,-1,-1,453196,500065,676439,179628,-1,-1,845158,223360,-1,716792,828379,54632,26607,-1,160372,769921,-1,645809,987100,865901,171883,825665,-1,473710,949474,-1,-1,874965,-1,577396,455007,-1,518971,-1,-1,700419,-1,495820,-1,847971,926077,27317,326195,-1,984759,-1,-1,-1,880859,-1,-1,-1,-1,804395,692825,-1,-1,-1,613741,545139,242249,551296,-1,-1,436153,581314,755608,-1,-1,736149,-1,-1,225413,981387,-1,593211,-1,586557,949184,159550,-1,688590,-1,-1,304559,459915,-1,-1,483941,58179,954547,923251,-1,-1,-1,-1,314733,-1,-1,-1,-1,-1,-1,-1,-1,-1,284734,-1,-1,-1,-1,497511,66046,248939,-1,-1,-1,-1,-1,916359,-1,-1,-1,-1,-1,411914,-1,-1,-1,26929,756424,720248,281887,1108,623590,400468,-1,-1,68192,-1,879596,834532,494806,618435,530806,-1,-1,595742,709379,-1,133735,760215,461098,344849,-1,762260,722633,-1,765283,-1,617319,-1,-1,-1,244800,706862,-1,585815,339009,642442,421178,65711,-1,712565,337388,-1,-1,626218,-1,590142,206965,630513,800986,54692,-1,901870,639240,299168,-1,-1,-1,843934,-1,218069,-1,-1,562941,363237,-1,-1,-1,705955,373541,-1,536296,-1,662769,-1,433127,464624,-1,-1,-1,-1,-1,-1,-1,-1,-1,805560,187347,-1,-1,-1,858088,223025,569285,-1,884687,187882,110408,722008,314941,-1,-1,847983,-1,-1,-1,-1,-1,-1,-1,21279,-1,772970,-1,-1,-1,998213,-1,679479,673572,207242,-1,602822,-1,-1,319857,-1,72034,846677,-1,-1,-1,206478,803763,-1,904079,-1,-1,-1,711168,776715,293826,-1,-1,-1,984235,-1,-1,-1,-1,193106,-1,-1,125829,-1,789527,-1,610093,124260,-1,-1,-1,255676,450524,975004,591754,-1,890506,236896,-1,-1,-1,-1,-1,-1,-1,-1,-1,391409,451242,-1,45190,616195,851729,715149,829490,-1,874328,814419,12438,2347,59278,-1,818979,-1,-1,-1,609316,904828,656086,-1,-1,-1,140861,730663,823223,-1,-1,411335,667520,-1,-1,15929,348588,-1,296050,962908,504320,-1,85776,360475,-1,4654,382800,391173,847215,462600,-1,-1,805401,531488,117955,-1,106154,-1,680543,-1,-1,-1,-1,219887,164295,113433,-1,-1,546916,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,28116,131995,-1,-1,297953,911237,38317,337616,623141,475610,-1,611437,880664,267893,625139,-1,-1,-1,220656,-1,-1,-1,-1,-1,62380,-1,431430,51785,-1,-1,-1,407944,-1,-1,-1,-1,-1,951145,-1,156643,-1,-1,311237,18336,62534,260664,-1,724359,-1,-1,478605,-1,604177,611911,-1,884352,-1,-1,331665,331428,-1,-1,464755,-1,800395,-1,-1,151322,-1,794452,-1,-1,-1,113132,733361,-1,-1,-1,894055,532788,537876,-1,48700,591860,-1,114517,168404,666125,-1,-1,489097,-1,354561,-1,-1,391924,374155,473768,-1,-1,194620,146233,423887,-1,-1,-1,-1,419607,-1,425135,-1,-1,332942,672861,-1,659502,314875,368532,-1,410058,-1,852484,-1,-1,-1,496405,93484,109491,510050,631847,339842,509009,-1,658193,279146,328526,-1,825008,869048,607217,174258,-1,710654,-1,919234,903619,958291,836493,-1,104112,222978,372323,-1,166036,720316,-1,-1,-1,808792,967635,-1,-1,-1,644587,556121,-1,987636,312512,920202,-1,208333,855448,448838,-1,-1,466494,-1,210191,-1,983461,429527,-1,-1,-1,-1,-1,-1,-1,398130,258373,6661,-1,-1,46375,182592,-1,-1,-1,-1,147384,171761,-1,-1,103435,-1,828043,414441,-1,-1,326751,-1,-1,692757,-1,525967,962439,733339,-1,-1,228418,-1,578483,117966,873686,-1,-1,882446,666848,-1,-1,753238,-1,-1,196785,-1,-1,-1,966046,-1,-1,577729,-1,-1,562048,55249,310800,-1,-1,927946,-1,-1,-1,372568,-1,-1,-1,-1,519958,-1,-1,-1,-1,409572,-1,-1,910308,806413,-1,72040,200624,834795,-1,698414,-1,-1,-1,595391,640632,-1,-1,-1,372235,-1,994157,231445,-1,-1,-1,828840,920679,-1,319946,639334,-1,-1,910385,537880,-1,-1,-1,84431,-1,-1,-1,239888,552180,692164,249934,-1,380477,-1,687924,992323,-1,-1,-1,483317,-1,-1,248476,-1,819275,379039,-1,-1,-1,-1,400291,-1,673771,-1,-1,-1,214468,207612,-1,109882,788869,181491,-1,-1,257127,-1,100078,305236,470497,-1,80220,872606,137546,-1,-1,762572,901643,-1,233474,84852,-1,-1,-1,-1,-1,-1,342416,279617,634593,32618,446081,-1,618346,798767,983165,-1,-1,719457,419764,-1,-1,983924,311300,-1,-1,944403,394617,857725,84411,373922,-1,-1,-1,231432,-1,881936,-1,-1,137236,-1,-1,-1,567314,786441,-1,65086,-1,-1,-1,405244,-1,692043,163317,232983,184164,937937,-1,-1,586724,917660,-1,732509,400319,685588,266186,878777,540324,867966,-1,-1,-1,560597,738183,727355,-1,-1,-1,-1,-1,-1,381541,645418,611068,-1,204101,-1,220290,-1,2088,-1,669814,-1,510288,-1,704347,-1,-1,592562,-1,-1,330273,-1,433500,168825,948157,383480,-1,954855,767184,-1,271369,320511,-1,216220,-1,-1,-1,-1,467709,336232,158857,-1,-1,162099,-1,819681,-1,-1,-1,-1,-1,595760,397466,-1,-1,572770,181603,-1,-1,686355,-1,-1,-1,-1,420220,18367,-1,852132,-1,41382,262073,-1,200242,-1,-1,-1,731504,-1,56411,-1,-1,138250,-1,911894,348334,179184,772380,800083,256364,793075,-1,-1,534744,987682,-1,261989,274572,-1,-1,-1,-1,-1,-1,-1,551139,-1,879308,607313,212914,462156,-1,534298,-1,295648,-1,-1,-1,391680,-1,761481,931193,-1,-1,367731,-1,475573,754449,-1,-1,-1,26037,-1,588060,-1,-1,-1,514595,94248,312248,466493,-1,466273,264804,519692,120685,982778,912743,19824,98649,671060,152144,-1,171117,163970,-1,326253,627925,757750,328370,-1,746593,-1,66753,941532,402289,-1,-1,-1,977787,-1,-1,-1,-1,-1,769347,-1,44862,17114,-1,-1,990791,-1,-1,-1,-1,403836,57143,296235,663744,-1,321006,-1,-1,233884,-1,493018,-1,-1,870229,-1,364855,-1,325910,224190,290189,212754,947013,23697,-1,-1,528301,494284,-1,-1,826584,-1,736049,394394,-1,630949,-1,-1,-1,282038,-1,926606,-1,-1,614458,-1,839618,818439,-1,-1,-1,-1,-1,33805,393679,855643,-1,697578,-1,-1,906300,379186,58389,-1,-1,883946,-1,562447,-1,-1,-1,-1,-1,721577,631586,294371,359356,434945,630338,809847,434261,982873,-1,210760,744724,873446,701233,-1,-1,-1,5217,197737,760699,798918,-1,617193,768267,-1,312791,346522,-1,847639,561891,22330,-1,777749,162992,145211,-1,259022,376832,-1,-1,54823,-1,585641,-1,828001,-1,547363,463352,932807,839961,103503,-1,494290,625369,866342,-1,-1,-1,947346,-1,-1,-1,-1,41386,-1,872731,933973,-1,-1,595436,842014,-1,-1,-1,956408,-1,589197,-1,-1,-1,631221,-1,223290,184495,-1,-1,470,-1,-1,99563,-1,225985,731414,-1,-1,437246,-1,-1,-1,678134,-1,-1,689400,-1,-1,-1,965952,-1,137439,600141,83923,265506,208131,224042,917524,-1,30487,219174,33053,438778,738874,71863,168890,186725,-1,245220,879497,551648,-1,-1,-1,-1,-1,-1,381916,-1,-1,722675,179194,805833,663864,142594,407892,-1,-1,-1,49533,-1,420169,581308,-1,266736,330938,-1,-1,386525,458244,166275,987680,955787,228695,-1,442029,533134,-1,180642,753183,168963,255429,-1,202199,11816,-1,-1,-1,892611,817881,-1,-1,-1,608104,-1,-1,502278,-1,37797,-1,-1,-1,912939,140001,-1,-1,-1,445313,985199,181789,-1,-1,-1,-1,998940,679022,-1,835872,272545,-1,-1,-1,-1,553245,-1,960958,962147,-1,326172,246550,481185,-1,125745,252386,490906,-1,670219,548975,-1,-1,886106,495052,-1,-1,-1,583123,362852,-1,-1,-1,704452,-1,-1,184061,-1,733917,888917,819684,848469,828660,469917,614889,-1,16582,916677,654575,913133,763077,700186,-1,805162,365360,252046,148479,-1,9177,-1,-1,224707,734405,-1,-1,-1,-1,681284,934890,-1,144504,-1,-1,338270,280906,59741,970509,61467,173111,815452,-1,550588,567109,377289,817854,464645,557050,654455,367814,-1,95909,-1,879757,532649,-1,494643,691051,13317,180206,255461,-1,6786,200663,-1,-1,-1,-1,-1,390030,854908,-1,-1,217611,-1,-1,344131,-1,33890,734874,-1,-1,26988,367120,929156,772331,-1,924436,883262,-1,719365,310567,-1,635146,-1,-1,665759,650235,-1,136386,824696,-1,744663,-1,-1,153997,78053,943772,951528,208979,204963,321727,-1,-1,-1,-1,-1,922698,-1,-1,-1,529090,-1,-1,-1,769479,589661,955502,445588,924174,-1,273433,-1,-1,941879,344615,254965,-1,-1,232819,65419,-1,886305,943063,-1,-1,803846,-1,700690,-1,897196,793587,-1,-1,4086,267198,-1,446985,158492,-1,-1,-1,-1,-1,-1,671310,707170,-1,901403,-1,477454,817961,-1,550484,-1,614272,-1,714134,-1,-1,144662,985450,59633,755782,-1,-1,-1,747813,-1,457807,918667,573286,513671,-1,-1,-1,926728,573290,300004,215322,-1,925131,-1,-1,-1,388235,888415,582067,21600,-1,-1,73299,364689,339387,926908,-1,-1,457973,-1,527563,-1,-1,-1,-1,919772,-1,138937,-1,-1,-1,707112,-1,586246,-1,-1,203715,-1,-1,347801,-1,-1,62961,-1,-1,655892,279346,437723,-1,-1,-1,-1,-1,849745,702840,-1,-1,23790,417348,-1,824921,332763,-1,969454,792069,613120,211345,-1,252946,30408,-1,-1,427678,479379,-1,-1,661302,-1,962369,485069,-1,-1,-1,22851,417215,-1,392730,757574,-1,-1,-1,846888,865026,373326,-1,-1,412418,697905,-1,-1,-1,-1,16799,-1,334638,264108,743037,670841,-1,-1,-1,47606,-1,-1,310269,-1,-1,813010,-1,-1,529536,-1,650456,973959,982267,-1,-1,-1,-1,122127,897267,-1,392046,223167,-1,-1,-1,569812,968415,-1,-1,956728,-1,-1,561497,-1,855882,195782,974186,448612,-1,262514,-1,-1,720850,-1,171721,89256,-1,-1,614539,195502,562071,719587,-1,397224,293874,-1,11886,296428,542519,579918,277452,-1,757715,-1,-1,-1,898099,-1,-1,864091,355335,-1,-1,-1,-1,453141,376480,-1,25237,962634,-1,-1,190568,-1,694594,777809,679420,219610,-1,-1,-1,-1,697663,322469,251796,708365,421747,-1,-1,387797,-1,474927,848353,-1,301921,315937,-1,27055,361506,775514,-1,311070,897747,-1,995064,130061,961720,805249,-1,903747,-1,-1,-1,545548,805001,-1,34733,369714,334765,696619,103512,-1,-1,398050,-1,39644,239239,-1,-1,155974,597011,860434,240303,83347,387198,-1,271911,789043,945704,-1,335116,-1,970829,-1,271804,-1,814818,-1,-1,-1,915325,579870,561790,305643,-1,821734,363325,-1,510555,-1,-1,-1,-1,452418,-1,-1,361439,-1,982188,-1,-1,891711,72062,247817,275859,-1,-1,-1,-1,-1,995650,281009,-1,-1,-1,-1,618348,-1,-1,927302,-1,496505,-1,-1,-1,517610,-1,134179,-1,-1,814682,379184,-1,-1,520180,-1,25532,529398,548875,149462,284676,-1,203495,-1,184933,397236,749091,710304,-1,-1,99036,950323,774345,743411,-1,923370,604919,893479,973256,713769,-1,-1,-1,-1,-1,39321,700162,-1,-1,999551,-1,-1,240239,302194,694000,405861,-1,-1,993592,63919,538724,-1,759484,-1,862102,-1,59287,-1,-1,512915,-1,-1,979779,-1,-1,285073,345570,-1,-1,-1,516460,110656,-1,290733,682001,297231,-1,142191,336753,-1,584000,-1,-1,-1,816475,-1,785524,-1,841795,568823,837231,-1,900458,-1,-1,226647,667613,25134,850351,952287,850303,597936,103726,968576,902829,-1,-1,255915,977574,672089,403101,-1,-1,-1,-1,749803,-1,676097,251220,794166,-1,-1,-1,-1,557507,265401,755427,34455,-1,183860,-1,-1,-1,798513,726580,812055,-1,-1,731983,-1,243830,562667,-1,769875,-1,824947,177155,-1,318315,383224,643134,-1,772053,-1,-1,-1,-1,906534,593072,-1,-1,988975,230668,-1,-1,581721,869717,-1,52509,453787,793230,646868,-1,-1,-1,-1,-1,-1,556668,843510,-1,561160,408709,219550,718557,-1,865916,175738,892113,-1,-1,-1,-1,-1,-1,461243,-1,-1,684324,-1,-1,603726,-1,326941,929658,-1,-1,-1,-1,966130,-1,148421,653466,-1,-1,-1,-1,-1,-1,-1,39056,-1,296786,751787,806343,-1,431278,790768,-1,945035,-1,40084,737219,585020,22563,-1,956549,-1,911131,-1,707620,833337,-1,-1,472864,20759,397019,631720,-1,-1,256726,755699,-1,459973,-1,-1,-1,-1,-1,-1,259580,358948,-1,36532,-1,-1,28703,262361,335831,933941,-1,-1,303387,-1,598827,601478,188924,973982,227601,991438,-1,740928,-1,-1,747634,-1,-1,348486,951576,805892,387779,-1,-1,-1,-1,-1,665547,435072,-1,-1,-1,-1,680616,592395,568754,-1,-1,-1,-1,359080,-1,671886,595074,174460,266942,920664,-1,-1,-1,-1,-1,160150,-1,-1,-1,567203,709568,-1,986880,790921,889859,719588,355132,305503,787281,28405,299128,-1,-1,-1,-1,-1,-1,117451,-1,-1,-1,485875,509542,912119,-1,-1,-1,750015,821136,-1,171406,-1,239916,-1,770730,-1,-1,-1,23008,-1,228892,-1,-1,-1,-1,-1,823202,722804,-1,-1,287376,-1,670550,344067,-1,250991,-1,-1,608721,301996,-1,375959,-1,563334,-1,-1,46950,730599,972399,534649,697673,866526,-1,-1,-1,148063,791829,53215,-1,661955,570489,748489,589610,-1,644896,-1,-1,-1,-1,265550,-1,482651,60465,99412,-1,-1,-1,-1,-1,340085,-1,607346,267087,-1,-1,-1,990798,-1,-1,52080,-1,729501,-1,997385,891545,-1,-1,193533,334933,-1,-1,875633,339809,-1,-1,109757,-1,563041,-1,485300,431538,-1,-1,-1,182996,912073,241554,-1,542033,-1,-1,-1,16179,-1,-1,979407,268130,-1,-1,943407,-1,997032,850252,454359,247038,-1,-1,-1,-1,492878,246545,-1,212524,626457,-1,-1,-1,-1,-1,696465,624397,854656,-1,537735,831955,-1,676231,212323,-1,-1,-1,444709,418914,234236,933662,-1,937017,-1,-1,302537,179649,226300,-1,-1,205994,-1,-1,354644,771236,979065,947880,649899,315313,-1,-1,-1,147611,-1,723697,46140,-1,884490,-1,722533,698750,-1,117987,992073,425259,769043,-1,-1,201940,-1,-1,772771,683944,-1,-1,404598,-1,-1,577779,-1,-1,-1,-1,-1,329777,474053,71133,9295,914453,-1,-1,798605,729269,-1,617139,793441,489636,304183,-1,762243,708244,-1,74237,-1,196976,880491,-1,-1,-1,807950,690310,-1,249332,62106,-1,749431,-1,-1,31934,182483,-1,181079,320586,-1,-1,-1,-1,-1,783568,-1,569056,-1,907598,-1,-1,-1,768456,-1,78870,608292,217862,-1,628453,567087,659341,23434,-1,-1,-1,223922,-1,-1,929435,328742,603762,642126,-1,299667,244201,-1,-1,-1,565954,-1,773759,863646,-1,553676,556693,-1,86288,-1,-1,943055,963061,-1,969424,-1,423340,757991,960437,639784,-1,972703,368177,-1,-1,-1,-1,897568,938261,-1,927256,-1,454447,95493,-1,-1,-1,782168,-1,-1,762543,-1,-1,767950,349614,324079,-1,-1,-1,684274,57564,-1,938387,-1,-1,-1,-1,-1,220872,536573,-1,-1,116813,476512,-1,-1,877160,118250,-1,22569,-1,-1,-1,440444,-1,643457,280113,45659,-1,-1,-1,-1,25017,-1,475768,203805,-1,171793,329752,-1,191944,-1,584053,703701,-1,-1,-1,-1,-1,-1,-1,-1,264173,570842,-1,-1,-1,6707,250625,-1,-1,147484,-1,-1,-1,-1,416963,-1,-1,494455,546190,831733,-1,-1,634886,913317,-1,430724,515209,-1,103422,256998,-1,517207,-1,-1,637589,-1,-1,409119,128004,-1,856719,287157,-1,53685,-1,863036,742580,-1,-1,-1,-1,-1,-1,-1,881626,-1,431839,661305,-1,808788,153588,405716,738428,116645,139365,-1,57854,553892,803337,258929,-1,779898,-1,132150,-1,216416,-1,327809,60862,-1,407565,405880,-1,-1,-1,334306,-1,-1,763854,465110,-1,966530,-1,-1,748024,877489,823295,-1,-1,972347,-1,-1,536724,965452,-1,-1,-1,-1,-1,-1,110245,-1,327127,-1,302267,-1,403383,691198,-1,557642,-1,275851,-1,509978,230188,-1,362942,692827,894239,-1,400033,-1,-1,905216,-1,665532,820420,-1,448977,173055,-1,-1,286513,898423,-1,19396,-1,988537,-1,-1,-1,746520,918987,-1,-1,-1,215288,-1,152156,-1,550105,267969,-1,-1,-1,-1,68306,-1,-1,409840,-1,420318,260236,647517,940073,-1,83919,-1,632709,-1,-1,-1,147311,-1,-1,-1,-1,770886,295567,156681,946133,-1,-1,800499,341721,183439,207688,267834,794354,-1,784561,705307,-1,58985,118371,-1,-1,146208,893413,-1,-1,-1,-1,-1,-1,788074,41868,515980,-1,652693,628662,-1,786428,901942,-1,202043,419817,-1,361634,-1,60610,652906,17774,187501,761923,277750,-1,-1,677546,218463,72429,634318,-1,-1,674180,-1,599066,324175,760076,87191,701319,-1,-1,-1,148803,-1,425305,79743,199837,149922,-1,-1,50442,785869,-1,-1,-1,882241,716999,-1,-1,778954,-1,966283,956434,-1,-1,720286,997559,-1,598725,918448,-1,-1,-1,-1,191266,921266,257754,418371,-1,237366,867078,960109,346598,-1,214461,-1,966893,498499,741241,-1,287841,233780,395296,571551,487969,-1,303874,251021,625718,-1,183686,357993,616546,675144,-1,998298,-1,-1,615822,-1,185037,-1,489681,583072,401000,-1,77663,-1,-1,868592,546021,-1,972143,-1,-1,-1,761153,-1,138030,265321,499891,-1,336820,-1,-1,-1,-1,733675,743274,-1,-1,-1,-1,-1,682890,-1,-1,-1,159797,313478,-1,763592,263784,-1,409460,546612,690164,-1,264593,482856,773660,813378,-1,283314,-1,-1,-1,15222,538032,780617,-1,924877,122444,35329,-1,-1,-1,574577,-1,291988,829745,763510,-1,429661,314118,145682,156112,-1,-1,-1,146346,-1,-1,92931,-1,690793,198551,762314,725288,-1,464716,869948,-1,176958,-1,-1,-1,600854,-1,645157,-1,918359,182628,931468,-1,321835,997120,-1,410798,843518,886429,731755,424401,786249,384619,-1,368220,186084,-1,297502,379661,299453,146650,213619,772790,-1,-1,-1,-1,-1,-1,224713,-1,-1,152655,179790,175685,-1,484632,246389,907827,-1,-1,311603,276361,748142,-1,311649,-1,808095,596357,-1,852786,910144,-1,375479,198927,-1,876953,-1,-1,230663,991661,-1,-1,-1,-1,8790,-1,-1,649756,611870,597784,-1,-1,-1,705195,99900,-1,-1,-1,-1,599449,-1,802790,-1,-1,-1,-1,767117,-1,-1,280097,966831,870883,-1,-1,187215,240617,-1,-1,408576,547272,-1,-1,789644,507608,532953,-1,-1,-1,314323,-1,-1,522885,-1,926295,-1,98979,82002,-1,-1,317432,-1,-1,529945,-1,-1,52309,-1,827057,682268,-1,78055,541651,-1,650655,-1,934952,218388,-1,500323,991280,-1,-1,-1,35948,813585,985889,-1,-1,148006,948436,-1,271860,687544,516619,538238,-1,693153,430865,861129,-1,888389,496502,87356,-1,361701,-1,-1,983307,861313,41185,-1,-1,-1,-1,220444,-1,-1,-1,-1,-1,111383,-1,-1,847626,-1,-1,-1,595120,253843,746619,865884,827848,926690,603530,895891,-1,986006,-1,440398,219793,-1,-1,-1,-1,-1,-1,-1,883281,859756,-1,-1,800609,-1,-1,-1,923843,898243,-1,165207,-1,937730,-1,983862,-1,587578,-1,-1,286527,-1,-1,-1,-1,-1,930734,207624,-1,485897,428954,140740,-1,948941,533084,-1,235782,352530,351311,-1,-1,334646,-1,-1,651290,-1,-1,350517,-1,-1,-1,-1,-1,-1,-1,36359,602585,-1,48356,-1,813891,105562,-1,555313,-1,-1,-1,186738,-1,58144,-1,106140,112688,410129,158541,773579,-1,-1,-1,-1,387446,-1,-1,-1,-1,-1,-1,19753,-1,-1,-1,-1,-1,-1,547895,-1,-1,768762,347096,-1,-1,-1,-1,-1,-1,899582,-1,568238,-1,250285,147456,-1,-1,59593,-1,641284,-1,-1,-1,-1,-1,-1,980676,-1,328812,66444,55159,202513,832102,998339,809304,-1,219617,646410,124213,-1,521842,-1,-1,-1,279687,556277,744762,229732,-1,683365,-1,-1,407362,338425,-1,-1,-1,110578,-1,989043,-1,877712,-1,-1,-1,185081,-1,672799,426397,-1,-1,523126,625413,722092,-1,-1,-1,744357,-1,-1,-1,-1,-1,509430,-1,-1,-1,332298,456439,433580,174233,-1,-1,-1,-1,394725,-1,-1,326397,169069,-1,559719,-1,620872,-1,800368,8080,-1,980421,543185,412352,516352,-1,935120,783324,-1,-1,86561,72666,-1,-1,-1,-1,-1,-1,453686,-1,-1,817590,-1,-1,365278,802649,-1,815335,417117,64162,-1,12336,419773,-1,-1,-1,-1,-1,-1,-1,-1,-1,932877,-1,-1,435830,435327,-1,-1,64606,-1,415084,-1,51351,698979,86999,521383,-1,498123,-1,790521,118649,-1,507562,-1,-1,601118,62581,935462,-1,-1,80431,455453,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,127298,312632,374268,1975,-1,143434,271787,739244,710843,494307,813152,-1,-1,308606,801952,217188,121857,-1,-1,-1,-1,139731,-1,689221,-1,642582,965334,-1,-1,847697,869090,-1,79981,576519,200463,67945,-1,65110,177014,273982,551579,-1,203454,9954,352084,526846,-1,-1,449409,223790,174455,778086,127876,-1,-1,823878,-1,-1,289429,-1,333391,-1,891101,-1,338067,-1,647752,-1,432178,-1,-1,-1,116372,870160,328174,61812,-1,225293,773317,54810,-1,212070,607269,672459,-1,176856,-1,-1,-1,324896,593774,-1,537232,-1,-1,916386,-1,-1,-1,494134,-1,669909,828229,209977,734226,-1,-1,-1,350803,26655,-1,-1,270244,886739,-1,662446,-1,-1,-1,150429,245713,-1,686297,-1,-1,274594,155959,-1,819468,763661,-1,-1,-1,951181,746464,892413,-1,466246,362660,240037,-1,171660,-1,-1,-1,-1,792516,853902,817342,685788,836550,-1,-1,-1,-1,574439,173168,240394,290347,-1,-1,-1,-1,86960,-1,-1,400249,-1,-1,963702,815251,734163,596939,873125,715923,719946,294577,388713,-1,-1,92954,899987,-1,-1,-1,-1,371347,735550,245910,-1,785714,583325,192894,483331,564064,-1,923869,-1,-1,829550,40785,987912,-1,583128,443428,997317,272140,-1,-1,505869,-1,-1,463184,-1,314567,61302,-1,629691,-1,-1,-1,-1,317044,174081,-1,329388,189941,469557,-1,133258,-1,500098,-1,-1,-1,446495,-1,56512,936047,905435,-1,-1,-1,-1,-1,215709,42247,-1,215587,349695,-1,659380,-1,803282,-1,539252,950744,-1,-1,-1,-1,-1,-1,527704,106451,155940,-1,-1,602276,-1,-1,614135,701621,-1,-1,78588,-1,-1,485710,-1,657355,283956,448048,661701,140507,527565,78497,23966,-1,494588,-1,776870,472563,312932,-1,-1,634209,-1,-1,-1,-1,-1,-1,-1,54056,11848,-1,-1,213187,432310,801689,-1,-1,289984,-1,215144,510093,-1,68963,-1,-1,408904,350831,-1,634342,-1,630445,8537,-1,-1,-1,431860,43445,726946,-1,-1,968470,-1,-1,-1,-1,713129,-1,-1,-1,46683,-1,64242,271774,-1,-1,-1,324838,73784,875630,161920,-1,-1,-1,641240,549468,119911,534360,971115,-1,60937,-1,108720,-1,620169,-1,75361,-1,918683,16116,-1,-1,-1,-1,892526,-1,-1,518257,967217,-1,-1,350227,181821,-1,-1,833386,-1,990509,276734,-1,-1,621166,226740,-1,82921,603983,-1,-1,383151,-1,737268,-1,531492,630857,-1,467550,-1,922658,137389,-1,426476,-1,763777,-1,-1,-1,801840,649037,-1,-1,-1,-1,-1,-1,307199,53430,504710,-1,119790,-1,-1,590966,-1,-1,-1,11073,152149,174236,212185,855716,-1,-1,-1,947155,924476,139405,-1,190130,-1,858178,5051,973992,633142,-1,366199,93202,299720,492435,228224,-1,204595,-1,-1,-1,-1,-1,-1,-1,141050,-1,-1,128885,380746,-1,-1,-1,666290,300959,15180,-1,648037,824536,577890,-1,8513,-1,-1,116564,193085,-1,361048,91550,-1,514908,-1,384413,-1,-1,638719,502642,27850,659560,-1,-1,288225,501389,189969,566655,849845,70938,-1,-1,-1,-1,269804,-1,-1,497309,-1,816247,-1,-1,-1,-1,-1,-1,999711,-1,-1,811586,-1,-1,423476,-1,-1,-1,84114,-1,-1,-1,-1,462605,-1,21980,558845,-1,-1,-1,768151,-1,490017,-1,822692,466056,408153,750264,-1,751201,242001,-1,229272,-1,-1,-1,450407,446582,352333,225333,-1,-1,190841,-1,-1,-1,-1,817320,241385,-1,-1,-1,-1,-1,394342,-1,520197,-1,-1,-1,-1,283201,-1,-1,-1,-1,-1,336933,177684,980871,125758,-1,-1,317725,-1,-1,71556,-1,625066,-1,-1,86469,-1,-1,-1,269531,344724,-1,540577,430425,629171,-1,-1,-1,526462,986757,-1,-1,-1,937031,179659,242663,-1,-1,316256,-1,529138,431939,-1,695067,205085,-1,570169,-1,-1,-1,-1,673808,-1,-1,925217,933339,580263,191142,-1,266885,827666,722444,-1,835794,-1,-1,-1,-1,-1,902749,288709,-1,-1,889317,-1,-1,-1,984742,454653,212208,557506,-1,310309,-1,542134,-1,-1,-1,-1,-1,-1,51972,702566,-1,822230,-1,60430,62025,-1,583504,-1,-1,-1,-1,-1,-1,-1,944822,338735,-1,-1,-1,189259,551551,938030,-1,311444,-1,240679,507734,-1,-1,-1,-1,-1,-1,-1,494792,737875,-1,764700,508728,-1,605256,-1,-1,-1,-1,-1,-1,-1,144683,-1,-1,611075,414879,-1,-1,80043,447814,526316,711205,54431,-1,-1,209413,-1,177115,56142,-1,945376,786120,-1,604892,654350,-1,306559,519800,18210,-1,693469,-1,223817,808220,-1,-1,-1,-1,516945,718930,-1,323848,-1,845428,-1,-1,-1,-1,575240,155894,-1,305123,-1,-1,427542,185006,391065,332199,644783,487652,-1,307581,-1,652879,190444,-1,259902,-1,-1,355223,-1,-1,687626,134585,459160,433356,-1,8149,39700,824517,-1,-1,-1,-1,-1,386631,-1,-1,708411,947029,-1,498660,-1,807783,17244,214507,-1,795373,219267,404916,-1,-1,192986,-1,-1,-1,4017,541270,-1,309945,-1,823609,-1,-1,272670,-1,-1,259331,18172,-1,605981,-1,986662,-1,-1,173557,-1,-1,992133,107352,280477,-1,-1,374327,-1,852457,94231,161923,-1,731776,-1,-1,358438,-1,747900,-1,358474,-1,-1,629287,180142,-1,-1,786507,-1,446112,466441,400048,507744,750327,32508,-1,530992,-1,-1,-1,691797,957780,756855,-1,793664,-1,-1,-1,524000,-1,472236,-1,-1,961640,-1,481371,107326,211121,-1,30411,-1,60825,736617,-1,-1,192326,799762,-1,-1,-1,-1,-1,552422,-1,48642,-1,-1,-1,-1,-1,-1,115517,-1,-1,239668,954753,333474,-1,708878,-1,-1,474163,-1,-1,310443,936615,-1,-1,567970,232338,-1,-1,-1,386051,947836,-1,-1,-1,768258,276478,379840,171558,-1,191025,-1,-1,184441,864517,197083,51478,-1,917871,-1,596583,428457,-1,-1,12130,872919,177820,-1,-1,607455,-1,648598,-1,-1,-1,-1,78861,-1,-1,69994,-1,756912,-1,977370,-1,-1,-1,844558,661959,578122,-1,-1,-1,512757,127515,777507,-1,860516,866398,-1,-1,-1,311834,711888,127469,-1,-1,260793,108536,202827,-1,-1,337695,-1,450628,861227,205549,-1,540523,-1,365733,-1,693804,562610,280717,-1,-1,444634,263001,401745,-1,-1,28246,921351,-1,-1,-1,-1,-1,-1,810401,-1,-1,-1,543266,239822,-1,459849,904449,799845,443321,-1,560403,912777,-1,-1,-1,947442,-1,52937,-1,426529,868359,-1,577795,-1,876348,-1,-1,-1,114417,5769,676455,928205,-1,554274,-1,-1,257582,858234,204991,-1,972978,255590,245377,201495,417447,654936,-1,-1,-1,-1,-1,788786,-1,-1,-1,773815,-1,364467,-1,905682,-1,-1,-1,-1,271743,-1,-1,-1,649650,348364,-1,-1,333370,-1,789941,689961,-1,-1,-1,-1,638526,-1,-1,406483,849955,497989,-1,718669,556116,-1,150967,341411,-1,-1,-1,760883,-1,18409,540833,26562,-1,-1,-1,266491,125996,-1,-1,767490,-1,832193,593753,489959,-1,-1,713308,874372,-1,-1,-1,-1,-1,-1,-1,-1,52141,318837,-1,303843,375340,291436,389663,385740,724110,468586,-1,-1,-1,333061,3634,-1,-1,831195,858304,-1,-1,-1,-1,-1,420705,111661,-1,-1,307055,-1,3626,-1,687280,-1,879527,-1,-1,-1,-1,414771,455078,436421,-1,-1,567707,91737,-1,-1,-1,72623,-1,16515,-1,-1,309976,970463,154582,-1,592848,-1,773271,-1,-1,576270,-1,-1,291112,-1,-1,602028,-1,-1,52048,32338,622615,784909,-1,-1,142185,-1,368248,-1,708002,-1,497251,682490,100193,-1,-1,817818,-1,-1,735266,-1,-1,-1,-1,2078,-1,422043,-1,-1,-1,932646,390650,-1,925692,948151,-1,798455,-1,-1,-1,-1,-1,-1,855199,768871,199051,392099,-1,-1,42924,578687,-1,468296,-1,-1,426870,596220,91987,-1,231054,-1,-1,-1,211025,870535,872026,535375,-1,562595,-1,821728,-1,-1,-1,-1,289293,-1,952308,-1,-1,-1,581284,-1,498800,-1,-1,-1,-1,-1,-1,-1,182748,-1,34101,959301,-1,435858,909698,-1,440746,564418,860890,243084,51870,-1,-1,354366,814262,-1,-1,-1,518933,-1,98751,-1,975797,100291,303154,72886,-1,262273,13766,-1,-1,360562,448032,-1,526797,-1,-1,-1,493352,369958,-1,530100,57488,204267,245293,453482,566979,-1,-1,-1,346088,964600,271633,109838,314485,-1,511232,-1,680285,-1,155253,-1,-1,-1,-1,461655,-1,51317,53358,-1,-1,736227,-1,997315,-1,898090,-1,124282,34560,287666,288541,414566,155594,53562,-1,896297,403183,152483,-1,943039,740235,568744,-1,559975,-1,-1,-1,-1,-1,-1,5268,-1,839195,314752,-1,-1,-1,-1,458247,-1,280557,-1,851251,-1,760171,-1,-1,-1,-1,-1,-1,122949,-1,990563,-1,517409,-1,778499,997306,130670,-1,-1,-1,-1,855354,-1,789736,-1,237037,764123,-1,43314,426607,418100,-1,-1,544112,214518,384990,-1,-1,566204,542936,513734,-1,-1,491399,663687,-1,153585,-1,284130,-1,230877,-1,399640,790911,-1,-1,639764,-1,-1,625259,450066,-1,169189,-1,18620,199943,-1,-1,662647,556089,942983,943368,-1,599084,161761,-1,591585,388534,-1,402951,461701,954945,-1,-1,-1,-1,50581,-1,-1,-1,596827,-1,-1,-1,-1,-1,-1,-1,-1,-1,835731,-1,-1,330660,551966,510883,-1,429595,-1,-1,901781,-1,331946,-1,465890,-1,-1,40820,-1,-1,-1,-1,400765,721378,-1,882421,353354,-1,762357,941378,-1,709388,402976,912450,23664,-1,-1,-1,-1,778170,578233,-1,81127,978573,-1,-1,-1,228834,256793,-1,-1,-1,-1,-1,-1,-1,103055,674758,11367,-1,131812,361615,201181,-1,-1,594333,-1,91848,-1,257358,-1,81942,-1,-1,213483,-1,-1,-1,-1,367364,763939,-1,445576,707425,-1,-1,69779,246233,886163,-1,-1,585946,15944,841950,-1,-1,-1,230703,548816,482471,314615,629689,303277,362079,446114,225532,320866,150254,207059,476211,-1,369556,-1,427700,807630,-1,490910,811515,-1,284345,963540,750338,997554,-1,-1,-1,331789,280595,-1,-1,-1,35255,941949,191614,-1,612606,-1,808771,52377,893346,776146,74991,722401,-1,-1,996304,-1,-1,151599,-1,158252,-1,994018,-1,-1,-1,-1,962198,-1,-1,-1,-1,-1,785912,36487,934867,199014,-1,936406,94654,54120,753404,-1,493829,-1,86151,-1,703177,903226,-1,666653,-1,-1,-1,268090,20399,-1,-1,965909,-1,414576,-1,227480,-1,453699,688427,-1,515118,-1,540479,633198,19651,321019,474577,390858,-1,272906,-1,84262,-1,207228,549777,579608,586714,649151,181714,-1,-1,-1,-1,-1,-1,-1,-1,522128,861754,174506,-1,-1,-1,-1,883678,-1,-1,296054,-1,-1,-1,402811,987411,-1,-1,471366,-1,-1,-1,735391,-1,13121,-1,-1,845497,106666,-1,687532,-1,-1,-1,-1,-1,824377,-1,534039,589479,184630,-1,-1,-1,383422,-1,-1,-1,456045,-1,-1,326153,288690,439327,458314,-1,-1,966599,-1,73775,860856,-1,305659,621780,578691,-1,-1,-1,457626,-1,-1,-1,496662,-1,-1,-1,717454,236732,488,568723,290464,71011,-1,-1,-1,448213,538594,923012,798886,-1,-1,37816,-1,-1,-1,748456,399791,56681,-1,-1,869401,-1,-1,517544,-1,494820,132212,362987,-1,971423,735484,-1,-1,-1,66531,-1,-1,674559,763328,227355,46813,-1,338325,12675,521938,111381,377308,606202,15364,-1,-1,589775,898181,578319,975015,-1,191375,-1,-1,-1,-1,-1,311005,817265,-1,-1,463838,934838,488779,759698,-1,-1,118514,-1,243275,-1,713986,-1,166487,772440,77292,582800,139822,-1,-1,-1,-1,-1,272178,-1,-1,935713,-1,-1,-1,-1,985042,-1,-1,-1,107793,-1,-1,-1,-1,15214,-1,-1,483045,-1,-1,-1,229640,532094,-1,-1,52590,79934,-1,233518,976960,-1,392552,700847,-1,-1,142740,-1,-1,665342,-1,-1,529207,-1,127497,119093,-1,-1,838889,21060,-1,-1,962613,44117,500322,-1,58381,-1,535139,641614,-1,979933,-1,-1,-1,775074,930466,-1,-1,868966,739452,973789,361132,-1,-1,200328,-1,93608,894376,730596,759662,979337,886985,152252,754943,356622,284404,909989,-1,-1,-1,-1,-1,-1,484117,474734,-1,275561,59604,-1,-1,851033,943716,972212,-1,19269,-1,-1,-1,732305,935974,-1,456543,-1,-1,-1,-1,-1,-1,-1,219103,99785,-1,-1,647422,-1,-1,437058,880787,-1,-1,678585,-1,-1,198406,127855,-1,-1,-1,160963,-1,588384,-1,-1,-1,154226,-1,-1,850727,383795,-1,-1,-1,-1,-1,135068,999240,962152,719518,-1,961945,587564,852602,-1,-1,-1,-1,-1,-1,-1,-1,-1,933420,-1,858302,235380,309634,563715,-1,-1,-1,-1,-1,435039,763892,-1,-1,-1,-1,740432,252273,-1,-1,524657,830922,-1,-1,504764,-1,740601,-1,616850,749214,-1,499622,78236,-1,-1,-1,438330,-1,-1,-1,-1,401190,858518,-1,178290,319487,287397,765334,916000,574012,-1,490850,346202,-1,-1,296156,168465,-1,-1,31485,975661,-1,-1,-1,497363,-1,348836,699924,-1,880407,-1,952682,142314,-1,148591,673541,995768,-1,800121,-1,-1,-1,-1,-1,-1,-1,-1,775312,-1,-1,-1,-1,-1,-1,653101,-1,-1,-1,199992,-1,-1,-1,92646,-1,665997,-1,-1,-1,901100,104523,-1,511953,767428,792284,393955,-1,984136,-1,-1,850658,-1,-1,-1,-1,-1,-1,-1,283770,815855,836747,212497,111146,-1,-1,428936,-1,733819,-1,-1,817476,116546,929702,-1,554653,364956,-1,503451,384480,731196,90750,166965,-1,-1,575330,969129,-1,804966,-1,-1,-1,337696,-1,-1,-1,-1,122649,617087,937397,381547,246002,283183,678319,-1,570873,-1,305297,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,895295,-1,-1,516655,536641,299283,-1,-1,138583,-1,31732,256582,836207,562161,-1,72105,-1,315078,-1,-1,681414,730000,218067,74559,-1,840860,-1,257483,-1,-1,819904,-1,-1,-1,295058,678062,900315,95304,839713,-1,339940,447251,414595,-1,-1,-1,134568,-1,-1,30484,-1,-1,-1,294641,-1,792914,-1,-1,-1,44966,-1,236449,-1,81990,-1,475752,-1,-1,70713,307718,-1,329697,544506,-1,-1,-1,-1,221280,635446,181253,364808,285269,-1,-1,659374,-1,-1,-1,-1,-1,-1,704132,405440,-1,356503,-1,253479,-1,-1,-1,-1,910938,79482,-1,-1,145939,767453,-1,3874,-1,628780,870298,-1,-1,-1,-1,581919,-1,-1,-1,919726,909955,-1,852479,45120,24718,-1,959294,-1,-1,168982,-1,651361,-1,375426,848602,-1,961633,704916,885111,30669,170511,499726,253532,-1,-1,-1,-1,76295,604856,-1,-1,36927,620823,531747,564596,-1,690237,590918,-1,-1,-1,781116,-1,724706,-1,-1,-1,-1,136434,621516,-1,-1,-1,285740,606945,-1,-1,-1,681748,-1,546690,438546,975090,-1,373525,679386,-1,186198,-1,-1,-1,198484,113820,510986,107109,-1,-1,-1,-1,811921,-1,-1,-1,872772,-1,569335,318043,-1,646375,266851,-1,-1,695620,-1,-1,-1,-1,366943,839175,356047,323334,528092,-1,-1,20582,-1,760621,130468,272391,-1,458285,245755,-1,-1,-1,-1,-1,738144,682685,-1,364850,578975,689117,-1,-1,963952,811961,783803,51199,-1,-1,-1,-1,942814,229164,-1,-1,-1,-1,-1,730079,903580,347061,733117,-1,479081,603951,-1,457497,404163,314211,-1,328644,264801,-1,-1,-1,464790,-1,-1,308972,705951,847124,766258,104652,362349,85112,-1,-1,-1,-1,298889,85448,146366,-1,-1,-1,485611,681648,209073,-1,923456,630988,274030,-1,457117,-1,927094,-1,558932,-1,571521,-1,659969,245248,418373,-1,635813,990555,15033,-1,-1,-1,-1,-1,-1,384794,-1,-1,306589,776097,305845,-1,837684,-1,921719,865131,-1,-1,-1,61479,668287,-1,809158,583770,648687,365540,412248,938331,958908,-1,340207,-1,449934,-1,710776,460552,-1,-1,616351,283997,970228,552175,651012,-1,-1,-1,-1,-1,-1,937481,878757,-1,758335,326194,-1,394290,749671,-1,-1,-1,689609,352692,849293,-1,86855,269408,385841,-1,238303,-1,-1,-1,615055,-1,527839,-1,-1,347201,149243,871859,628153,649935,-1,-1,-1,947707,417544,408133,930416,513304,-1,292221,576011,950703,719671,20042,-1,162571,-1,846409,-1,-1,107664,176614,-1,-1,-1,-1,392111,-1,466645,182734,483187,243047,521863,835469,-1,892244,417941,142616,101446,-1,-1,443127,-1,513735,678243,-1,277041,-1,994079,467065,-1,289123,-1,137539,-1,-1,710129,-1,56882,559675,529665,-1,-1,273365,483309,-1,-1,429792,-1,957084,-1,-1,650663,-1,-1,992199,563349,-1,277968,-1,-1,-1,-1,45924,155481,-1,838033,226618,-1,17145,792085,55640,-1,618145,189935,-1,960164,-1,-1,-1,667896,-1,-1,926923,-1,690880,94566,164894,673718,528082,437055,-1,-1,-1,597954,33963,620307,-1,902014,-1,-1,664504,-1,-1,784240,508190,-1,252515,962427,-1,-1,334078,-1,-1,-1,475185,-1,600681,908815,838082,995649,830927,542285,-1,-1,-1,-1,-1,-1,-1,75410,-1,738541,747822,-1,790941,273536,-1,130918,632415,28356,992798,-1,427720,619109,-1,-1,-1,670163,-1,-1,892473,1854,-1,-1,-1,797237,299651,832046,557128,802005,551739,-1,652105,764410,-1,410387,-1,323296,-1,-1,209991,40915,46641,-1,709135,953920,401900,290551,605364,413748,883160,-1,-1,-1,448436,-1,814927,-1,-1,-1,254612,804345,430548,382626,-1,-1,393091,621592,11116,-1,-1,-1,-1,-1,-1,770799,-1,-1,-1,93709,975081,-1,36022,-1,709265,139799,119692,286323,175130,298555,-1,-1,-1,-1,520788,-1,-1,619285,-1,-1,-1,857541,551316,-1,-1,587588,-1,-1,-1,-1,700922,471398,662017,-1,-1,629561,171696,-1,-1,959178,-1,107565,-1,-1,-1,53571,116636,845056,21510,-1,870918,-1,507011,-1,720939,213975,311063,519886,60350,100090,552463,-1,-1,59522,-1,-1,-1,964246,187674,-1,-1,518896,-1,-1,-1,514546,-1,-1,514178,271046,-1,-1,-1,863141,-1,-1,507051,-1,237902,-1,-1,257900,-1,-1,-1,844322,460320,-1,200880,-1,689599,-1,351288,373367,347504,-1,405487,-1,922033,434501,-1,237719,-1,622857,193910,-1,-1,42894,901385,-1,-1,-1,-1,587223,-1,-1,867814,-1,-1,-1,10330,733025,-1,-1,15987,-1,133569,917213,-1,-1,-1,-1,214030,618774,-1,-1,3574,76347,358432,-1,518952,-1,773554,-1,-1,-1,534370,-1,-1,779945,980065,665990,837766,264655,-1,513483,208941,283787,-1,-1,224844,914556,-1,-1,648302,-1,550607,-1,-1,71208,-1,-1,-1,-1,-1,-1,743739,557147,824209,-1,-1,-1,-1,420977,191070,-1,-1,-1,988290,297297,934714,-1,-1,-1,357708,409614,219187,965296,892646,723871,-1,-1,288379,350668,565323,773087,931881,-1,167233,-1,-1,573649,19733,-1,-1,-1,-1,779777,102131,-1,941312,-1,666541,678408,830621,-1,480850,440179,-1,-1,554518,-1,191542,469347,-1,740789,-1,-1,744819,-1,930539,-1,527230,174131,615199,383471,-1,370342,386721,495702,-1,-1,973528,491931,-1,-1,-1,829948,782823,-1,-1,-1,-1,-1,206899,-1,481222,-1,-1,162396,53419,-1,-1,-1,-1,546123,37196,48375,-1,232900,281607,-1,-1,834042,952705,176701,-1,-1,908907,443301,-1,125598,-1,342855,257499,822896,-1,-1,-1,595750,-1,-1,21107,443573,726168,-1,155331,435555,-1,-1,755707,-1,285241,818297,803985,279915,41652,-1,-1,177501,24011,873460,-1,538833,-1,-1,798445,433528,-1,454199,-1,-1,206932,-1,-1,-1,643263,75587,52882,-1,-1,-1,920349,-1,-1,-1,280889,-1,680179,-1,520734,-1,-1,929379,110297,-1,359758,-1,238789,-1,-1,-1,681905,-1,881546,-1,818281,-1,-1,-1,-1,-1,277858,-1,-1,441703,-1,-1,-1,-1,991872,527766,-1,112758,350262,148719,914506,552867,-1,641288,-1,-1,267090,-1,186776,-1,530126,497800,512343,867141,361057,790846,-1,-1,479525,843768,462003,236209,695109,-1,851199,140476,757627,364222,411189,787954,-1,-1,770010,-1,984057,729239,-1,226940,318611,985470,775568,317237,201202,-1,-1,-1,611401,-1,-1,431376,-1,720697,-1,196869,-1,-1,-1,-1,821140,516216,28220,-1,877444,-1,882737,258511,-1,392850,915842,-1,-1,662432,321823,192336,-1,712628,612073,-1,-1,684446,912858,-1,-1,150658,641410,-1,-1,127376,-1,247404,59221,-1,607547,886910,526546,-1,-1,612142,-1,213129,295267,902393,462845,992185,375406,490271,754532,-1,719087,-1,-1,586073,-1,-1,803137,647803,444508,923054,-1,-1,66407,339901,647830,-1,52790,-1,-1,32429,-1,179295,-1,-1,412459,596615,571806,878299,208871,41141,32081,-1,377717,372527,292946,-1,-1,174597,293663,559461,-1,645120,199716,-1,-1,484970,-1,818481,595438,-1,-1,-1,-1,-1,-1,726347,-1,-1,676035,197681,-1,-1,4210,982617,-1,-1,291315,781172,833885,812183,334194,303525,-1,-1,597528,-1,753754,-1,-1,-1,383436,632774,284899,785859,420131,-1,245105,-1,544313,709142,-1,899736,439557,597893,-1,-1,-1,-1,-1,-1,-1,59165,727996,883827,-1,-1,-1,-1,-1,-1,-1,-1,708232,114163,155899,-1,443479,481656,-1,283978,28128,-1,644077,-1,-1,-1,-1,478662,340836,255361,-1,662792,-1,334429,306404,336640,186486,275926,151182,-1,54281,219984,704963,299109,-1,-1,825529,298589,-1,442542,453320,501311,-1,774845,368531,-1,-1,788796,691602,-1,-1,-1,-1,605391,-1,-1,714738,-1,-1,290270,717035,-1,-1,-1,414512,130065,-1,774124,753475,956812,894769,-1,380827,-1,351948,885575,460703,-1,-1,226061,241072,453509,-1,330367,-1,-1,-1,-1,-1,869514,678768,757441,-1,866118,-1,-1,-1,94894,504749,-1,-1,-1,-1,561924,727204,451248,-1,-1,458605,-1,871350,-1,375788,774269,417036,-1,-1,840435,-1,679939,320658,90271,193891,688853,-1,-1,647478,968817,484715,-1,-1,678481,-1,-1,312731,-1,-1,-1,-1,999821,-1,865248,782556,-1,-1,-1,-1,122048,586873,236106,204673,-1,804683,785901,-1,616155,352121,-1,510306,-1,-1,-1,884097,-1,849563,643966,-1,-1,-1,-1,338443,-1,868403,-1,4089,239942,-1,118628,152030,486713,-1,-1,366987,-1,325077,-1,-1,88663,-1,-1,519854,-1,757070,594710,-1,182247,583761,-1,584367,805510,77429,-1,448168,41606,608129,-1,643779,278740,480823,-1,760385,250016,-1,276871,-1,-1,-1,800963,-1,-1,496879,311562,-1,195882,320324,623961,855681,-1,663552,-1,-1,625479,-1,386866,-1,619214,-1,432971,-1,777264,-1,284065,584749,-1,-1,106915,-1,-1,-1,-1,-1,-1,264185,165305,-1,-1,-1,456178,-1,-1,327070,616051,-1,495439,-1,852436,944565,762980,-1,-1,-1,421518,222203,-1,381966,103513,-1,-1,-1,929654,-1,478138,-1,472492,517520,933475,-1,-1,-1,805497,-1,684562,920595,-1,-1,917268,-1,325325,-1,-1,106562,801719,-1,-1,-1,-1,-1,-1,821336,44273,439624,86667,-1,-1,21312,815631,687568,357679,165443,909630,-1,-1,-1,583978,903522,511026,858672,-1,433406,353643,522085,-1,485037,86727,718113,-1,556359,728775,600659,322229,-1,341728,609172,-1,-1,61763,90146,484915,367095,779962,-1,330153,232365,85701,945817,-1,986621,-1,108626,43690,-1,158379,606435,68634,41116,-1,-1,-1,559611,677110,752377,-1,-1,599927,122203,-1,-1,-1,325047,931650,885003,-1,-1,-1,-1,-1,115068,-1,262083,-1,862598,-1,-1,-1,225901,-1,-1,-1,-1,-1,400049,-1,-1,-1,-1,-1,111465,329447,684060,644096,707839,-1,18573,294014,790889,-1,-1,716297,-1,618505,-1,821905,845485,399744,-1,-1,233270,786675,125019,787223,-1,-1,-1,-1,326905,550590,-1,260752,-1,-1,884617,-1,-1,516632,404928,-1,-1,365164,-1,718505,469102,819625,612182,-1,-1,549273,-1,-1,-1,9338,476968,-1,-1,-1,862939,-1,-1,-1,-1,283757,-1,-1,-1,192920,-1,570670,887003,429457,464735,-1,-1,839606,612774,816075,554059,208382,-1,722748,-1,-1,925321,-1,177249,-1,-1,-1,-1,828901,168455,-1,-1,-1,-1,-1,-1,830951,-1,146116,-1,-1,-1,-1,474138,-1,147404,441916,671533,-1,-1,-1,-1,107252,186816,-1,592340,702551,583250,-1,-1,-1,571328,281231,931362,359139,-1,-1,-1,-1,248372,728645,-1,840700,-1,605401,912984,-1,-1,76272,903994,71949,994848,101930,-1,-1,-1,328073,-1,-1,389220,243802,681543,-1,437889,886991,-1,-1,-1,-1,926200,613435,114985,-1,551143,802789,-1,-1,662176,-1,480892,55543,-1,887582,-1,742967,-1,553802,-1,-1,-1,847431,-1,182293,-1,198961,560578,-1,756477,215878,-1,1366,-1,-1,-1,47615,834017,246459,825695,-1,-1,257790,138948,-1,685343,-1,-1,-1,-1,-1,-1,-1,957120,746344,674132,-1,883135,584974,677167,-1,-1,794176,-1,729879,294495,-1,283407,983716,652328,830373,853271,115946,70155,-1,-1,273978,-1,-1,350086,-1,-1,238318,73083,-1,-1,485051,-1,680640,347125,411867,544453,-1,942662,-1,589781,176540,720274,-1,112006,402904,730469,480485,-1,-1,-1,-1,670520,296982,681973,5975,175223,627458,212758,875159,-1,-1,-1,-1,946489,484448,384923,-1,398327,-1,819439,534747,-1,-1,161105,-1,429063,411095,-1,548110,676663,-1,431028,860412,292326,718765,-1,597800,-1,-1,313010,52081,4090,520196,112202,-1,549185,-1,325764,232816,-1,-1,-1,211269,-1,268704,-1,929959,-1,784825,-1,732067,415018,683783,960968,-1,679475,819423,163976,930988,322257,-1,-1,-1,-1,905207,795193,-1,322222,497242,787535,251257,577176,-1,911673,-1,725302,-1,-1,756043,743430,-1,-1,94530,939130,671172,261550,696965,708620,-1,-1,-1,579361,-1,-1,-1,270542,-1,719325,19739,-1,-1,714840,-1,803617,-1,-1,-1,962037,-1,269257,-1,-1,490240,-1,140787,-1,808235,-1,783159,79594,904381,-1,595324,-1,-1,704877,361537,583518,145171,-1,538162,-1,292029,-1,650826,677962,922413,493249,-1,174026,197423,339532,571570,-1,897544,-1,-1,869558,882584,51759,760977,683959,-1,-1,407497,135322,-1,-1,896941,-1,-1,945700,-1,-1,608905,289624,-1,890760,939532,-1,587268,-1,-1,-1,-1,329649,784109,-1,-1,-1,799274,-1,428430,-1,365109,414895,439729,-1,486812,-1,-1,-1,479795,426410,-1,652594,-1,516241,-1,367856,100863,359920,-1,-1,371691,295310,12321,442990,-1,-1,583791,820765,41352,-1,339164,80187,999093,-1,892302,-1,203983,-1,147010,-1,-1,-1,780038,-1,477843,-1,-1,807046,178244,9176,859376,177067,-1,942473,-1,601382,-1,-1,880515,93741,-1,-1,309571,22809,-1,-1,825953,66369,-1,-1,-1,-1,692144,-1,-1,640409,963756,412229,-1,-1,416813,865602,113086,164704,-1,-1,-1,-1,-1,242921,965101,937635,-1,297028,-1,929436,-1,-1,954446,-1,-1,741006,403942,-1,-1,-1,263763,-1,918127,369974,-1,603789,128055,-1,-1,808428,-1,758390,525947,-1,-1,840491,763131,-1,-1,-1,602999,674115,-1,-1,823640,754733,756411,928884,634491,-1,-1,381301,903583,-1,-1,-1,-1,-1,-1,-1,915598,135570,260228,424724,-1,327782,234822,-1,-1,665230,651662,284048,-1,994468,-1,-1,-1,-1,-1,538565,927931,-1,525419,-1,-1,196148,-1,758005,-1,865996,812266,-1,815463,64479,442414,634097,-1,-1,-1,838840,-1,-1,-1,710737,646097,-1,-1,-1,-1,932276,-1,878731,-1,-1,-1,67165,-1,331,635980,-1,-1,-1,770909,263724,17577,-1,833701,-1,-1,976660,-1,220343,-1,-1,-1,902073,798648,-1,244235,-1,614070,-1,462754,445804,650947,-1,64097,635163,952205,-1,133032,866462,322422,871743,597716,-1,-1,315375,-1,-1,437056,584824,-1,-1,585799,-1,600051,-1,-1,377757,68885,-1,273762,-1,-1,378979,731743,-1,745342,942631,-1,89695,739199,-1,360111,653651,373135,-1,-1,159706,-1,-1,-1,654935,622744,512331,804519,-1,469529,3165,486146,795177,-1,-1,552047,-1,-1,227712,-1,890651,-1,34018,-1,-1,123713,57076,-1,447798,599331,512672,861190,-1,-1,817729,523168,-1,864657,-1,848157,422131,678806,808034,-1,-1,38564,-1,209997,-1,382155,173142,399692,-1,773569,-1,-1,811721,-1,-1,-1,-1,-1,-1,593979,881996,-1,910704,850212,-1,-1,733142,70079,826901,-1,-1,-1,375381,-1,-1,872593,-1,-1,-1,782015,-1,-1,21722,-1,-1,788502,-1,278579,171439,-1,837944,501475,-1,548304,207912,-1,565729,-1,754058,-1,-1,-1,532617,810383,486257,-1,134310,-1,-1,49433,394882,214428,-1,-1,516255,230967,894990,-1,606415,-1,-1,-1,-1,-1,77095,-1,-1,-1,-1,793588,740899,995833,-1,5552,-1,-1,-1,-1,210623,-1,-1,-1,596857,-1,-1,-1,803737,421141,-1,77786,358374,-1,-1,-1,-1,-1,967723,-1,-1,-1,-1,-1,866006,98924,826665,-1,269425,-1,295358,-1,-1,946272,348732,-1,-1,136399,237413,-1,-1,936506,814211,869406,447176,-1,532532,780977,-1,-1,721857,-1,364696,-1,-1,-1,313774,213169,-1,752221,-1,818722,-1,-1,226594,-1,260654,-1,650702,-1,-1,-1,-1,-1,331813,-1,241441,-1,-1,189458,651109,884456,-1,-1,-1,652620,389922,468327,868178,-1,845140,-1,653675,958524,-1,-1,770358,470090,-1,-1,-1,185470,-1,-1,-1,-1,151105,829208,-1,-1,234568,-1,-1,-1,524678,-1,446958,744570,517307,515490,208042,596911,74521,-1,-1,159804,-1,-1,45660,-1,216329,-1,244214,-1,-1,698465,-1,9985,-1,-1,-1,-1,-1,-1,-1,583216,203831,-1,-1,-1,993767,-1,-1,-1,215988,426929,-1,156813,-1,444478,-1,-1,-1,-1,-1,987828,530237,169770,-1,-1,286822,-1,548538,601159,395392,191776,-1,263858,-1,-1,-1,-1,996644,174091,-1,669003,705363,29898,-1,203618,117130,-1,-1,-1,329679,394314,411974,644753,-1,353284,-1,31302,431529,-1,-1,393441,-1,929091,-1,19495,205925,918138,908701,652650,-1,440650,-1,-1,965002,-1,-1,300997,-1,796830,506135,757396,-1,-1,-1,404990,558373,802383,-1,23734,-1,541560,-1,618779,-1,736365,-1,66728,-1,-1,-1,4933,-1,-1,974759,-1,363395,666164,443414,702934,-1,-1,657993,-1,-1,518597,-1,955100,-1,-1,272607,-1,270586,72210,120984,-1,-1,540269,820362,74955,-1,382601,-1,867456,-1,490779,-1,-1,892841,113064,-1,100944,189536,494083,878533,409623,-1,955110,-1,745647,188348,656420,880668,-1,308825,634964,650512,259698,-1,-1,393260,-1,344405,-1,-1,215984,894667,656810,502002,756841,483614,126552,949973,-1,172066,-1,-1,271770,-1,-1,-1,-1,810710,-1,193084,-1,-1,683931,-1,-1,-1,507163,495323,-1,-1,-1,710469,-1,938098,-1,860260,-1,268448,-1,282337,477224,-1,-1,-1,56973,-1,432793,947506,-1,-1,-1,-1,613054,-1,838040,728036,-1,600794,-1,-1,578772,215761,136874,758135,847229,828298,-1,-1,-1,-1,866665,444759,-1,14759,-1,44688,821016,-1,-1,784516,-1,-1,-1,-1,-1,-1,-1,-1,999767,-1,757159,399349,-1,472124,243513,902782,855389,-1,-1,-1,806627,-1,467650,235507,549475,-1,-1,-1,-1,-1,-1,623317,-1,364169,986415,152258,319540,-1,968112,-1,-1,953598,-1,857904,-1,870582,-1,-1,857712,934122,-1,860114,-1,-1,176661,-1,179291,66294,-1,-1,-1,-1,184653,123730,-1,-1,757995,-1,-1,959075,82459,-1,398391,693435,-1,441495,-1,-1,-1,646334,984604,-1,-1,-1,796211,325599,713900,-1,-1,965594,-1,73736,361925,73043,-1,-1,-1,-1,-1,877430,636218,-1,-1,619443,753244,-1,851281,637767,290365,891700,680171,-1,359816,222364,-1,707481,-1,-1,80092,324435,-1,-1,-1,666327,464639,577792,-1,426194,-1,-1,-1,570470,-1,329925,967323,978048,-1,-1,400546,-1,76728,249304,-1,205039,115658,544444,-1,582544,-1,242891,4899,873418,-1,349277,-1,-1,-1,132367,465504,-1,863592,573320,868417,-1,604679,-1,-1,-1,-1,-1,-1,-1,-1,691646,160,-1,41367,-1,731484,950754,-1,119542,-1,-1,361441,661095,510585,344691,915076,357356,426047,-1,-1,-1,-1,453775,121637,-1,550877,9652,-1,706376,-1,-1,-1,-1,-1,-1,-1,-1,-1,558305,-1,519433,853449,181753,-1,-1,-1,-1,13905,803790,845408,149883,-1,-1,482835,-1,48112,-1,-1,817989,962714,753552,-1,924541,321466,208781,-1,-1,-1,-1,61348,767186,-1,344503,-1,513498,-1,-1,37406,-1,-1,-1,411943,573596,-1,-1,771878,-1,-1,150892,357907,560569,-1,980896,800747,-1,405627,-1,214057,571400,251267,-1,987322,744984,213240,-1,-1,424458,558837,-1,-1,6934,-1,-1,625125,866807,-1,773573,-1,810838,-1,975092,575849,792659,-1,-1,-1,-1,-1,-1,-1,-1,930701,897689,375482,-1,817195,-1,-1,-1,610809,-1,-1,482484,-1,-1,313808,148885,98984,-1,506909,315474,375170,872170,743847,533123,684352,467115,-1,491698,-1,880900,765020,667581,-1,106800,553705,-1,-1,-1,10277,-1,201313,421018,185942,-1,860581,249671,-1,-1,85948,578941,565675,246134,-1,352895,-1,674647,-1,-1,250637,-1,-1,331214,807091,-1,-1,-1,224686,392390,700341,972859,-1,-1,883021,-1,-1,142989,598791,-1,-1,795846,905994,540475,49582,294055,-1,26,899643,-1,89982,849475,556613,-1,592797,105871,-1,255231,740935,744857,52551,506634,32261,4032,882834,-1,-1,-1,-1,653882,-1,270828,834626,-1,34699,306023,365254,-1,768025,-1,487510,-1,-1,515312,-1,-1,-1,879377,-1,-1,-1,693018,-1,-1,-1,788963,-1,-1,-1,38673,-1,860531,-1,-1,507092,-1,-1,695602,302503,-1,557038,-1,-1,-1,257937,784251,-1,-1,-1,-1,53622,-1,-1,102923,376073,940917,-1,-1,911182,-1,-1,871834,-1,689777,596753,784603,-1,728662,-1,97819,-1,695792,-1,433424,-1,-1,833856,199997,134259,653079,-1,-1,-1,441281,942666,-1,517170,-1,-1,235174,-1,114495,-1,936450,-1,906485,-1,-1,427152,-1,453607,677274,-1,956977,400046,91084,-1,-1,594698,-1,212154,-1,456565,676905,-1,-1,-1,992308,421459,27724,12932,161375,-1,346782,-1,-1,-1,653293,-1,649126,-1,263311,295550,-1,661065,-1,36006,-1,337559,892550,222935,613115,-1,946948,140000,-1,105018,-1,-1,-1,304940,-1,-1,-1,30893,-1,995087,744628,856416,-1,-1,599454,647555,-1,872694,-1,-1,494259,-1,52696,716317,665971,-1,297883,298853,580178,-1,683954,-1,237629,148594,435354,-1,626305,681841,-1,992962,689838,-1,197746,451762,639567,786918,82728,-1,886471,576256,225235,309307,333518,121003,588533,-1,842331,905906,937690,-1,487882,-1,-1,-1,-1,-1,571210,-1,725755,373836,-1,-1,571487,-1,-1,-1,-1,33343,663984,922557,41569,-1,156615,294460,-1,684085,-1,596369,-1,-1,-1,693964,459397,568500,835649,-1,-1,-1,472717,-1,-1,-1,-1,515267,-1,-1,-1,-1,-1,-1,528356,-1,-1,994086,504238,990214,-1,-1,-1,596008,268383,-1,211709,-1,-1,46904,-1,-1,882075,-1,73201,-1,889115,349292,-1,369319,-1,400053,-1,-1,205149,926094,-1,110135,788199,-1,494646,-1,572102,-1,-1,-1,701149,-1,126516,844661,-1,847507,-1,628220,504561,97954,-1,-1,-1,-1,667596,686556,754728,919193,620619,709132,-1,391170,401118,-1,-1,-1,565309,481898,-1,-1,-1,-1,354858,-1,-1,304575,-1,-1,-1,-1,-1,594910,681374,-1,-1,282080,-1,172365,803722,62430,-1,263697,-1,451995,525011,-1,526679,-1,-1,4385,896163,-1,399286,-1,266517,-1,938472,310042,808748,635905,829227,-1,-1,-1,-1,-1,-1,539640,400228,-1,22859,-1,496116,49869,-1,19001,549070,364866,-1,-1,-1,841140,-1,-1,240476,-1,-1,-1,187724,137062,-1,-1,875103,-1,-1,849672,880815,176299,-1,979730,-1,-1,736258,-1,316446,154883,101148,-1,-1,914948,907775,877459,630485,469047,979572,-1,403845,-1,266303,60128,-1,-1,881475,-1,38047,196743,925204,80139,-1,-1,72854,-1,50764,293592,-1,-1,281474,941159,419062,375823,-1,-1,782228,-1,-1,979104,33840,870147,-1,-1,240541,561622,514093,-1,-1,-1,196997,712720,-1,161675,452517,983514,-1,38516,176379,-1,-1,-1,-1,-1,-1,575454,-1,-1,-1,883297,423153,624472,760894,-1,702682,-1,-1,-1,259836,-1,568324,738321,473706,-1,-1,-1,922252,-1,-1,-1,-1,118472,-1,-1,76473,403792,905687,981273,640426,7859,21028,-1,-1,533130,-1,-1,-1,76408,-1,-1,-1,-1,665711,-1,898029,707675,928572,-1,-1,933381,-1,965551,197131,282695,954750,-1,93725,-1,994069,-1,912534,-1,801772,231348,922805,78201,479110,-1,334355,-1,-1,699427,555572,-1,696967,-1,-1,243158,-1,-1,185545,-1,67432,677963,234760,432765,164722,-1,-1,579906,-1,161778,505273,315016,-1,713370,297750,854765,-1,-1,-1,86201,72122,-1,-1,-1,446173,-1,-1,-1,955640,-1,-1,742760,-1,-1,-1,-1,196657,233902,340523,56949,-1,444783,-1,772966,623953,-1,241605,-1,-1,140712,-1,979,-1,-1,-1,659028,179106,107940,-1,974138,-1,444507,-1,9263,-1,767077,22763,-1,703874,-1,165367,675467,89662,-1,221671,375657,284031,-1,-1,-1,-1,920892,-1,-1,551049,560692,-1,285628,906948,234653,-1,-1,-1,-1,-1,-1,756387,296528,726666,-1,337837,-1,-1,-1,642765,-1,-1,609011,798615,389284,194767,-1,234521,688613,-1,317206,176674,-1,-1,866632,-1,-1,381044,-1,847595,246673,415473,-1,-1,-1,150563,-1,-1,110971,363121,-1,74826,-1,-1,-1,550137,716093,458971,-1,-1,-1,-1,111514,-1,-1,310271,527654,748591,-1,731283,-1,807119,-1,-1,481228,586445,679176,562624,194191,-1,-1,120056,204751,824325,-1,-1,690330,-1,-1,249371,-1,-1,37372,-1,517709,-1,532633,-1,473526,-1,-1,314217,-1,-1,-1,516975,198281,503332,851522,-1,-1,-1,-1,-1,-1,739415,48584,-1,82546,-1,450333,653288,-1,911109,-1,151337,853395,665762,463565,121645,742414,342121,-1,542831,212936,823283,936175,-1,-1,-1,-1,-1,-1,571676,866489,-1,214632,256603,-1,-1,-1,475564,218295,644787,248762,-1,-1,82641,167142,-1,430774,-1,-1,-1,391752,789147,265919,402566,-1,466025,-1,-1,644963,-1,-1,-1,482724,-1,-1,676406,-1,525714,642242,-1,-1,-1,754422,-1,-1,132529,-1,244696,582113,-1,802999,-1,683763,954597,-1,874072,754073,-1,-1,148036,-1,-1,-1,-1,-1,-1,204566,855798,-1,369051,330777,30005,435274,-1,491876,-1,-1,-1,-1,-1,-1,462749,-1,-1,626623,-1,-1,258807,576132,-1,-1,288639,-1,-1,690358,677951,-1,-1,329763,-1,-1,825841,-1,-1,-1,-1,-1,529708,208539,10575,-1,-1,-1,-1,-1,880083,350651,-1,628770,-1,-1,748254,652372,86897,172199,733011,25420,522097,124389,-1,696031,-1,-1,346447,-1,-1,-1,-1,-1,986614,-1,-1,780102,-1,505986,-1,229672,-1,340333,-1,891972,-1,-1,562116,994931,108352,846381,-1,628398,-1,-1,559219,-1,-1,806374,824435,940892,390062,45385,469053,84717,398988,-1,378335,450172,801784,-1,611651,150345,-1,83364,-1,620081,619095,9845,756314,943826,950951,273850,-1,-1,-1,-1,-1,-1,-1,-1,285103,-1,247029,307562,-1,208112,-1,-1,-1,-1,-1,-1,521498,493328,-1,605438,565538,637285,896503,-1,-1,-1,787528,-1,667073,472229,-1,183470,785625,-1,-1,276848,990386,841196,717479,-1,337049,64587,-1,-1,634258,-1,631725,585650,716505,319592,-1,298745,748658,169520,743126,653143,173298,-1,558724,441448,-1,126626,-1,908215,827713,-1,907834,-1,-1,-1,-1,-1,-1,222302,-1,81766,47675,-1,17902,355213,583922,-1,-1,-1,840164,-1,96011,790644,-1,-1,-1,767379,778004,871392,-1,957953,-1,17161,-1,9739,-1,216951,-1,470942,870293,465085,467985,-1,-1,67618,-1,-1,823482,372679,65030,-1,-1,555364,924425,-1,-1,97141,-1,-1,170761,-1,-1,979754,762406,-1,-1,268034,-1,-1,590453,982294,-1,467982,892335,-1,709331,6697,188003,-1,683822,-1,-1,-1,337772,-1,-1,782465,-1,-1,181545,-1,-1,-1,793397,495641,690704,-1,466486,952693,640793,-1,52812,776809,-1,682091,481271,-1,-1,470465,27955,894608,-1,324854,557713,-1,529215,495808,-1,-1,-1,667816,766055,-1,-1,-1,-1,858655,832583,-1,-1,-1,680496,918638,-1,-1,-1,543731,-1,-1,678005,-1,-1,797724,664947,196063,-1,-1,-1,974634,-1,-1,-1,-1,804515,-1,264674,-1,123298,-1,942824,-1,544775,838748,305478,131597,669941,-1,206625,796698,-1,494843,-1,434584,659004,-1,-1,-1,-1,-1,-1,-1,-1,599533,-1,-1,-1,-1,-1,-1,458735,-1,-1,664779,-1,172022,188416,730077,71051,-1,-1,-1,-1,801162,140552,822055,-1,-1,-1,-1,-1,312438,-1,-1,32120,-1,-1,915061,820517,801280,-1,-1,-1,-1,449250,957398,102706,277671,-1,-1,58228,556232,-1,-1,-1,444028,31539,-1,63070,-1,-1,631735,-1,-1,-1,-1,-1,126094,-1,748911,-1,914964,-1,-1,344344,805954,874160,416062,-1,534423,818601,-1,-1,-1,33552,-1,875487,709211,237600,-1,20243,256490,-1,-1,250932,154532,-1,-1,615820,-1,-1,-1,182638,-1,-1,-1,-1,428800,-1,307111,-1,638940,-1,-1,977079,651678,-1,-1,-1,17160,774361,-1,116243,606902,-1,-1,-1,853994,785132,-1,-1,-1,170964,-1,469787,430976,530522,-1,784449,-1,568306,-1,-1,344668,-1,-1,-1,34036,712801,668968,384465,305849,-1,-1,869457,-1,737374,131457,-1,579368,-1,-1,433817,-1,-1,-1,251578,49728,456988,-1,-1,325728,-1,-1,425085,-1,-1,930330,726129,208965,738005,717287,395875,-1,757114,-1,-1,-1,-1,-1,252552,-1,987559,-1,783987,147532,-1,452046,236648,392429,-1,996988,979699,-1,272952,-1,-1,712942,771956,479938,-1,949720,647873,640389,-1,166682,-1,-1,437987,853241,-1,-1,-1,881979,-1,-1,-1,744655,66052,-1,575084,-1,330224,625576,918582,241940,125331,687034,482430,802155,37862,319554,-1,312799,118360,-1,-1,-1,-1,867900,-1,-1,327991,-1,698556,6361,995943,-1,-1,337476,812953,-1,-1,-1,965490,-1,550645,-1,200019,-1,-1,-1,-1,44270,905898,92787,-1,-1,118997,-1,598964,747175,902819,533274,100541,277343,418824,324820,-1,-1,-1,-1,-1,249720,165849,-1,371,781619,256471,-1,476522,-1,302404,962753,717218,521477,82727,-1,115488,-1,-1,-1,606825,-1,976802,266824,146844,641587,786408,538194,523177,769905,812109,-1,-1,-1,-1,-1,401362,33428,-1,217252,-1,-1,33943,-1,559882,-1,-1,-1,521088,-1,-1,-1,-1,-1,-1,180659,855193,-1,454449,-1,869189,-1,-1,-1,-1,-1,-1,844103,-1,991547,171728,102827,858138,-1,-1,-1,-1,261669,-1,-1,-1,-1,402149,885984,395938,-1,261541,824864,527149,-1,794287,575898,-1,145158,-1,792117,796277,-1,299061,830067,-1,403464,690667,-1,-1,161516,-1,-1,683218,186176,-1,300685,-1,781212,351134,-1,116072,-1,-1,-1,-1,-1,973838,436912,-1,517088,401082,-1,-1,-1,647891,915323,793361,-1,101281,-1,788511,-1,-1,537113,64774,806714,15808,-1,-1,594063,183004,350476,-1,-1,104093,875654,-1,109713,-1,773413,203391,-1,528205,-1,220996,107051,-1,258769,476505,-1,88478,77777,544345,-1,984187,304017,-1,-1,240691,-1,-1,421421,781269,675994,-1,-1,398598,25900,-1,117589,-1,831465,-1,692474,-1,978862,959067,799357,691337,905619,916559,-1,346231,314160,19641,962554,84390,778655,-1,-1,640959,-1,400947,14963,183544,148256,999691,594238,-1,-1,880923,-1,728507,-1,852168,799093,-1,560219,-1,51621,93631,473731,965560,-1,781933,-1,-1,602031,-1,120760,967454,-1,751951,544515,-1,-1,507108,-1,29752,440239,184774,-1,742966,-1,-1,-1,269659,-1,-1,875478,-1,842837,-1,-1,311262,947493,627528,446998,-1,-1,35161,-1,257774,46075,75960,-1,966004,20656,-1,464608,468982,798526,98167,545371,383291,-1,-1,-1,-1,-1,976217,981307,-1,-1,279523,-1,-1,-1,-1,-1,717117,28813,-1,-1,-1,-1,2684,-1,-1,-1,213028,607322,-1,-1,-1,-1,223860,-1,590927,646321,-1,692521,-1,-1,-1,813644,-1,356938,10103,-1,480859,-1,-1,79681,-1,-1,429991,-1,61668,-1,-1,259560,885741,-1,-1,512944,196331,934388,802769,31279,-1,496106,77258,-1,-1,414550,918779,743015,-1,939063,-1,186194,-1,-1,-1,-1,362188,-1,-1,-1,277620,27837,481728,534126,879082,663259,636056,-1,175785,486887,932927,-1,100252,-1,911667,-1,-1,-1,-1,-1,399794,354429,-1,-1,-1,-1,403785,-1,-1,-1,921414,909422,-1,-1,174222,-1,-1,735495,269383,-1,204445,-1,-1,555140,-1,492216,622140,450793,-1,-1,345960,-1,441525,-1,-1,404034,-1,836866,695021,635474,666391,-1,-1,1647,51169,-1,806032,298923,-1,-1,-1,-1,-1,-1,-1,447196,782838,-1,-1,-1,229291,622436,312263,-1,-1,646852,332424,351836,-1,581595,259512,310316,-1,-1,50989,-1,-1,94451,440810,225811,-1,812222,-1,-1,-1,-1,486283,889463,-1,181906,16787,-1,-1,-1,191823,207229,907821,988795,1927,-1,-1,-1,-1,-1,757225,-1,187167,194242,54140,183834,99267,872849,-1,346776,-1,658731,-1,-1,603924,-1,-1,368653,-1,741331,270281,-1,61561,-1,-1,225977,36082,801916,-1,-1,-1,-1,20873,376008,664673,157233,724045,-1,-1,218316,305745,-1,-1,312392,217623,-1,-1,-1,927902,-1,800119,261158,369274,441673,-1,-1,126731,-1,-1,686178,-1,-1,-1,127500,288237,289202,785861,-1,-1,-1,639807,363508,959876,617930,429403,-1,-1,-1,-1,15622,-1,-1,-1,-1,-1,-1,205503,770671,-1,708770,316870,-1,-1,-1,-1,86519,894494,575981,285893,-1,387441,646943,525025,-1,-1,668778,-1,374979,-1,-1,-1,-1,459707,470257,-1,384873,499429,234694,867411,755327,767681,-1,-1,-1,-1,-1,616926,999185,348082,351663,813943,385012,-1,-1,854843,-1,984936,882937,448873,-1,-1,-1,-1,-1,186137,353272,747320,765605,-1,611723,53716,520863,-1,-1,833665,-1,-1,923430,-1,117455,28738,434594,710732,619661,610808,-1,-1,788224,-1,-1,699432,328612,24636,932595,-1,-1,689951,-1,-1,14353,210928,867819,11853,-1,-1,378196,442236,-1,-1,339955,-1,424718,-1,295932,152661,-1,664547,874517,-1,811028,270658,343013,-1,-1,805385,-1,-1,371104,867652,37687,372726,-1,951113,997505,86482,783119,-1,414040,-1,552738,433932,183413,-1,-1,963173,180926,-1,-1,-1,-1,845974,-1,-1,-1,-1,700975,-1,-1,-1,626309,144618,-1,63357,-1,906433,267240,-1,-1,-1,-1,-1,870948,391866,-1,-1,-1,273208,-1,408771,-1,-1,-1,-1,157060,351424,555080,241875,-1,-1,783801,969720,813373,594412,816238,348765,-1,-1,368373,-1,37631,-1,-1,-1,562692,-1,-1,-1,-1,-1,287955,101773,-1,906778,251878,-1,-1,-1,572576,-1,-1,-1,514732,-1,745482,-1,128037,-1,775839,-1,-1,-1,28737,581754,869432,754976,180270,-1,-1,-1,831524,-1,521366,697973,366124,-1,282932,-1,-1,-1,881622,-1,701433,564092,-1,163816,902872,706920,46316,-1,-1,51399,-1,-1,-1,-1,898526,221266,429288,57930,604666,-1,-1,801523,-1,583411,-1,241339,207695,-1,-1,67534,-1,295483,743442,-1,621800,262868,71873,-1,541126,853146,826060,-1,-1,925652,956300,-1,227000,-1,574862,-1,-1,374128,-1,98409,-1,401573,-1,-1,940364,-1,447147,-1,-1,714995,441740,-1,-1,541459,-1,-1,377985,-1,949984,-1,-1,863102,-1,-1,239972,-1,863715,45638,-1,493000,-1,-1,694331,236222,-1,560985,9721,-1,-1,-1,908733,-1,-1,-1,619823,4468,-1,755130,100526,-1,959936,-1,430979,-1,739935,456224,606796,-1,-1,212801,446869,-1,119115,897320,-1,-1,-1,706579,-1,-1,-1,-1,-1,-1,165051,465021,-1,-1,-1,-1,-1,397810,386995,-1,506283,-1,-1,-1,181976,-1,607613,575155,670123,-1,919012,-1,-1,69192,-1,-1,-1,989538,169596,-1,272369,-1,805810,219806,151532,913685,141030,217678,340533,-1,876054,683418,-1,849088,218443,119026,-1,-1,-1,982942,-1,-1,902655,563659,-1,-1,261485,356112,48075,771361,544820,350396,-1,-1,416887,-1,156443,155300,390830,-1,456569,96108,396041,-1,-1,-1,-1,-1,694405,822942,-1,893848,536810,-1,306949,-1,-1,-1,581203,682700,-1,476229,904786,-1,-1,791196,-1,171628,-1,133290,138126,-1,755297,407428,-1,582686,-1,-1,5749,-1,-1,387736,68844,488971,-1,220256,209302,-1,-1,-1,-1,151271,-1,-1,-1,344666,-1,-1,54152,183027,762680,225780,44354,-1,673886,-1,-1,609300,70126,126943,320696,965729,721594,886186,-1,450450,-1,15763,267400,272729,-1,995300,863499,-1,-1,-1,-1,-1,-1,-1,72830,444546,-1,-1,-1,-1,409972,-1,-1,358876,557432,469143,602269,-1,-1,897041,660196,567341,668082,756681,253032,38579,-1,166009,743032,370435,134551,-1,894422,776462,942914,855876,629794,-1,-1,942276,627211,-1,63197,601227,120030,340074,288241,702573,42874,-1,311266,706024,-1,648188,51612,-1,-1,-1,-1,473725,-1,-1,-1,-1,870486,-1,-1,905702,-1,-1,683041,376978,-1,-1,540001,-1,88470,290609,635504,227127,897485,492479,-1,642069,695166,132637,-1,426072,-1,-1,-1,88686,-1,727253,119825,713028,-1,-1,714700,333189,182699,810632,-1,830298,981251,266038,-1,807433,-1,428882,53986,-1,61901,3193,274679,-1,888824,465439,-1,21615,-1,-1,-1,-1,-1,317053,-1,-1,-1,-1,337757,493096,-1,-1,98143,996190,197734,321997,-1,312478,210713,-1,-1,560382,88393,-1,-1,19921,589393,468240,417701,-1,-1,221887,-1,184702,-1,956099,928461,475331,272093,210383,857815,602291,-1,192271,-1,680169,-1,478032,515748,-1,714425,-1,-1,853149,940954,-1,-1,-1,8998,-1,855679,8247,136333,-1,-1,-1,-1,-1,299118,-1,45131,-1,-1,-1,-1,249319,-1,33482,-1,435539,968560,852363,-1,686379,-1,381401,-1,-1,-1,550823,-1,-1,82468,-1,-1,-1,-1,749760,-1,971404,399027,111571,18634,-1,-1,582001,334331,877696,520229,-1,677183,-1,-1,123417,360741,348658,-1,-1,102246,173074,469882,-1,-1,-1,675377,-1,761623,404357,667521,-1,-1,-1,-1,179695,-1,631440,7922,662433,-1,-1,-1,124728,894145,652688,356720,-1,861368,69565,553286,-1,-1,531666,940189,-1,824589,-1,992363,374387,-1,87364,-1,-1,86911,-1,18729,836764,-1,-1,12214,746957,761826,-1,-1,465640,891713,443065,-1,-1,-1,-1,-1,-1,840977,46902,-1,-1,793274,-1,556882,103214,960227,888925,347637,300746,-1,-1,-1,-1,-1,-1,12656,815969,-1,-1,-1,80541,905921,407739,386382,-1,575929,193492,-1,671749,-1,-1,781960,166979,571678,-1,-1,341564,485215,540051,-1,993725,-1,514075,297833,-1,896448,-1,781602,667064,343405,-1,-1,-1,-1,260238,164414,-1,-1,398837,-1,375493,628017,347206,-1,100359,-1,585106,3786,-1,808661,962306,100907,-1,-1,374666,976801,-1,703596,-1,-1,58476,-1,926630,-1,656961,-1,310263,-1,-1,-1,-1,495626,-1,-1,900430,183139,-1,-1,47439,-1,-1,440391,-1,-1,469215,458497,-1,-1,-1,691316,-1,-1,-1,644290,-1,656213,35290,222537,-1,377450,536706,-1,-1,-1,254423,-1,495796,545394,57699,-1,478696,498321,-1,368334,-1,-1,-1,-1,-1,379339,855376,-1,256818,-1,-1,988835,-1,-1,-1,888089,-1,960103,-1,-1,-1,-1,-1,-1,802805,-1,990373,884084,-1,-1,-1,476992,561833,543223,217859,-1,-1,-1,-1,58630,969481,436962,710703,-1,-1,-1,770899,-1,480461,949884,-1,-1,416861,191675,-1,-1,4407,785791,458958,-1,837081,-1,115333,834079,512979,-1,-1,88791,-1,658157,-1,173926,-1,-1,582156,727237,-1,979819,158516,82571,639156,-1,27339,86683,240977,93340,-1,502773,-1,765634,-1,-1,553335,230691,282295,968500,898759,164089,362238,-1,816274,-1,-1,918731,809869,128749,758324,141340,858079,-1,133916,-1,-1,725190,944962,637768,-1,-1,788005,140122,-1,-1,448659,51297,725848,-1,-1,-1,132538,10690,46382,30268,139872,308758,-1,645884,-1,-1,268853,120418,293878,-1,-1,248959,-1,580601,-1,-1,444543,-1,-1,-1,-1,-1,-1,-1,211192,363815,-1,-1,753407,996627,-1,-1,-1,974565,-1,106080,-1,397373,-1,513030,-1,137146,-1,-1,-1,456363,-1,-1,-1,-1,648818,-1,-1,923295,679709,672394,956833,533523,-1,-1,-1,-1,-1,-1,-1,531769,805273,-1,-1,109598,-1,-1,562736,-1,176575,-1,-1,-1,-1,634445,929195,-1,592054,104808,365722,232241,813002,-1,819392,558580,63904,917138,-1,-1,-1,-1,547256,988408,545009,830941,187752,714203,278691,-1,390991,663525,450144,-1,-1,44526,-1,-1,-1,-1,500357,545200,282766,675906,387164,611497,-1,373926,392097,-1,-1,-1,-1,951593,280021,210306,-1,534062,654283,112895,-1,-1,592193,950876,-1,-1,931072,-1,498830,-1,556893,687875,624954,-1,-1,-1,-1,490585,837025,-1,-1,-1,-1,-1,-1,996573,560380,-1,-1,872275,500751,-1,-1,756977,934060,-1,-1,-1,567877,-1,400868,-1,-1,-1,927629,796629,-1,957866,478604,218989,-1,-1,641827,663098,524372,-1,-1,-1,900616,-1,146327,785899,573167,171018,-1,-1,594122,35542,-1,-1,-1,-1,-1,252220,-1,-1,-1,-1,454277,166920,-1,700095,-1,-1,109721,-1,-1,708597,528354,321189,561328,-1,-1,648571,-1,-1,-1,-1,-1,814395,277451,-1,141414,-1,589716,724138,-1,813650,312329,530534,229177,845181,-1,-1,-1,-1,-1,827107,-1,-1,-1,820385,-1,220326,688587,839202,672289,-1,609369,915292,-1,-1,426831,633061,-1,-1,216427,-1,-1,-1,-1,813228,-1,-1,-1,-1,-1,995679,467136,-1,-1,114001,-1,912566,-1,978403,451498,717024,433057,974480,829999,167575,-1,577268,546059,-1,-1,-1,119708,14895,233890,650319,-1,121447,-1,-1,546219,-1,-1,385823,-1,-1,822089,-1,345503,359646,-1,-1,510060,-1,872471,36862,868303,4132,-1,-1,157226,648894,274132,-1,792921,-1,-1,148292,-1,-1,-1,-1,-1,-1,460234,-1,-1,-1,-1,518332,-1,986477,549910,-1,910700,143716,234438,97782,-1,-1,-1,-1,877137,-1,941564,786207,-1,948522,26599,474948,820333,607134,269125,719760,891207,-1,-1,173720,701802,-1,-1,-1,910225,-1,-1,-1,639663,-1,187127,-1,302024,507185,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,658489,-1,-1,-1,-1,-1,143149,-1,-1,-1,471135,302787,-1,110308,939676,-1,113608,807559,-1,-1,-1,-1,702253,200344,-1,547919,-1,852659,-1,676912,985745,468926,-1,781740,369559,-1,-1,991253,538058,982371,207807,320055,-1,266108,-1,-1,-1,10937,-1,-1,-1,-1,-1,961162,-1,-1,-1,-1,61907,-1,-1,-1,-1,-1,-1,498761,342804,-1,855400,-1,897204,530083,-1,114732,-1,886701,173836,-1,-1,436340,-1,-1,584016,-1,557581,-1,-1,-1,139578,-1,171385,-1,-1,991260,219697,407454,-1,-1,515548,-1,-1,27659,579763,422851,457423,63615,-1,-1,-1,-1,850241,559765,-1,11527,948600,-1,-1,595761,-1,-1,820661,103962,-1,384300,617045,299947,-1,604227,-1,-1,-1,-1,-1,-1,216692,92326,-1,-1,-1,-1,338306,118495,-1,-1,389813,283469,-1,-1,-1,327683,-1,611097,65685,81721,63166,-1,-1,-1,609418,501835,225552,580924,-1,662003,-1,-1,-1,-1,583129,-1,742620,115856,-1,-1,-1,708072,957368,-1,-1,516842,682163,835289,-1,-1,702458,759392,221473,-1,-1,633438,131833,213359,-1,937753,-1,-1,-1,-1,-1,-1,723422,-1,-1,-1,563398,-1,-1,528786,721458,-1,531311,698044,992764,236387,-1,-1,875074,916192,-1,963023,-1,-1,-1,-1,31116,555543,210125,615575,199294,-1,247860,663055,10302,-1,-1,137643,989559,983097,276656,204212,807021,443192,22364,-1,727208,370165,927579,702215,-1,-1,-1,-1,574484,661424,90164,-1,-1,-1,100963,495258,911820,-1,-1,353002,208060,-1,-1,775700,-1,-1,-1,-1,-1,623730,52524,-1,33964,466913,977993,-1,-1,-1,165592,-1,485760,-1,-1,-1,309182,-1,498032,641440,-1,-1,497495,-1,-1,486328,692592,-1,602384,308373,486351,-1,-1,-1,22642,705008,769299,-1,-1,560708,333701,353825,-1,-1,853463,-1,174171,-1,-1,-1,508241,679406,624726,977180,439641,-1,-1,-1,-1,-1,194615,739902,-1,-1,-1,-1,556907,308982,-1,963449,-1,-1,-1,-1,-1,713097,738589,-1,-1,300064,265607,468916,833338,645110,703876,476871,499561,-1,-1,-1,-1,472115,660715,428237,-1,-1,-1,874823,205522,-1,922823,-1,-1,942330,-1,964023,-1,-1,-1,256393,45648,-1,-1,564245,50308,207900,-1,-1,773098,-1,224102,644560,217068,-1,722169,-1,-1,617827,-1,-1,-1,-1,-1,149268,-1,490331,904202,216914,197162,352514,-1,-1,145461,-1,-1,443152,193290,811925,929922,-1,11699,-1,464730,411805,-1,-1,-1,-1,-1,99551,-1,797297,516107,46452,-1,214433,970495,417843,-1,-1,-1,725512,505119,-1,633911,28169,-1,-1,-1,90191,-1,422574,601905,357002,-1,-1,506194,-1,-1,-1,909626,-1,-1,541247,-1,-1,-1,122100,-1,967097,-1,-1,-1,134647,-1,-1,589688,-1,595417,-1,822380,50729,742114,109555,869886,868934,987163,-1,-1,532244,-1,-1,532199,101183,-1,-1,-1,-1,740242,-1,740029,531046,261104,829465,-1,175267,-1,170008,689390,444898,686364,594149,233260,978267,615517,182595,583166,-1,-1,-1,197984,816647,438015,597760,795535,-1,-1,700476,-1,-1,434574,998833,515765,605376,445769,99004,-1,817874,781598,-1,-1,742027,440004,678840,295111,356367,-1,-1,-1,714946,-1,-1,934217,-1,-1,-1,-1,330194,405515,-1,-1,-1,893702,388577,550076,653500,143062,-1,-1,-1,411671,895257,-1,-1,728529,474358,-1,-1,120487,-1,694465,-1,11869,882202,138883,-1,812157,805356,-1,-1,-1,803541,-1,910791,-1,893094,-1,-1,42925,-1,564563,-1,-1,-1,-1,-1,79592,389729,-1,-1,-1,-1,-1,-1,854525,511552,-1,-1,659520,630972,166572,731968,-1,-1,-1,-1,-1,850013,-1,232510,-1,-1,285097,-1,160205,195993,-1,-1,902951,33930,-1,919029,-1,265529,752361,-1,966767,178496,-1,-1,139139,-1,343825,-1,-1,-1,-1,250148,592320,310837,534814,299383,-1,593444,-1,-1,320100,979280,-1,355699,649186,-1,763992,864922,396502,965610,-1,927473,-1,-1,-1,-1,402659,-1,-1,-1,-1,504697,529295,745656,-1,-1,-1,-1,377855,-1,-1,-1,77380,54003,498150,-1,351498,949590,-1,-1,-1,-1,-1,594901,-1,-1,-1,-1,-1,-1,-1,615978,546542,566382,363207,-1,841214,-1,-1,-1,628408,719973,624614,-1,727394,217075,-1,606511,-1,968600,-1,-1,608088,-1,997719,-1,-1,-1,713425,513713,-1,-1,-1,872728,138067,-1,450512,708174,30932,-1,-1,-1,837384,499166,-1,-1,375041,-1,845154,-1,-1,292994,173590,230637,-1,136308,606795,-1,-1,749099,-1,702338,-1,683854,198827,546640,-1,-1,478729,-1,-1,989085,-1,-1,-1,683281,384696,-1,-1,-1,-1,111595,670212,113645,-1,750102,577159,485079,-1,895286,165691,-1,-1,-1,235084,616227,-1,-1,615318,-1,-1,210557,-1,995228,818682,-1,-1,515046,864926,496967,306704,435222,-1,-1,93974,720803,314381,167770,460771,-1,805608,-1,891421,207252,940718,457564,-1,966479,298524,612335,124030,841423,-1,472848,795532,-1,-1,-1,-1,11188,-1,598759,342700,-1,733648,326731,534157,-1,130280,-1,124460,240439,-1,-1,771935,-1,528472,-1,936125,460657,396973,-1,532032,-1,96176,-1,657539,559624,739687,-1,681913,101506,-1,55248,-1,375237,666904,587963,-1,-1,848073,467279,-1,-1,-1,-1,-1,973709,-1,-1,-1,-1,823348,-1,396695,-1,-1,-1,-1,391941,847874,201685,-1,-1,912923,-1,-1,54459,-1,155923,-1,940011,538606,205609,-1,293619,-1,30700,805839,-1,912198,981035,367232,-1,-1,490228,-1,-1,-1,377653,-1,-1,368704,-1,66278,105098,253072,-1,-1,-1,523742,-1,438986,41742,-1,-1,39502,862602,230471,-1,249347,-1,-1,-1,163913,772249,-1,735898,313664,-1,-1,983022,640239,375737,-1,690836,-1,-1,-1,84473,-1,-1,-1,-1,-1,666742,-1,-1,304893,-1,8316,-1,-1,-1,85921,540901,-1,974127,-1,392006,686680,-1,-1,-1,119960,589095,431385,715531,-1,759208,252752,744180,667511,-1,-1,869732,279511,-1,793395,-1,-1,873729,-1,671657,-1,-1,-1,408208,215939,-1,747300,-1,-1,-1,8364,531130,268415,236980,946449,-1,520324,-1,-1,-1,727923,987690,-1,416661,974648,-1,-1,674698,268686,242508,-1,284749,633763,733997,-1,60222,-1,308001,298558,204942,-1,-1,411609,964860,65927,-1,840719,-1,-1,-1,-1,-1,-1,-1,168553,668960,813637,978067,-1,893141,-1,-1,-1,-1,847042,-1,-1,722514,61458,-1,596715,-1,-1,53165,766894,-1,159960,-1,897641,-1,-1,79409,434576,65018,663419,116101,120691,-1,747123,-1,24811,-1,222526,-1,-1,599713,643591,177533,265967,64331,-1,-1,694281,363844,-1,46219,-1,-1,470181,-1,721782,-1,264947,118774,-1,-1,-1,959030,-1,-1,-1,-1,766085,315666,462521,-1,-1,-1,797077,-1,-1,-1,354580,334588,-1,-1,-1,533545,-1,-1,-1,972175,604687,-1,-1,-1,-1,703664,361258,-1,-1,-1,-1,-1,436183,-1,720860,-1,293564,497793,326689,578496,-1,821065,-1,795381,-1,501804,231524,636890,-1,-1,842429,604964,-1,533133,-1,-1,21457,-1,735239,996960,-1,-1,328566,-1,947401,-1,929192,633821,806409,732241,172389,-1,687131,-1,-1,924081,-1,567197,-1,549521,834029,-1,395970,-1,723101,114237,53431,-1,-1,-1,35393,-1,-1,615579,-1,-1,671748,-1,648727,738519,-1,959968,28079,766101,539684,-1,-1,190027,722282,450078,924784,-1,520994,-1,-1,424960,218948,-1,167501,-1,-1,-1,843119,-1,56032,336294,184283,265041,-1,-1,-1,224208,-1,-1,40238,314132,-1,-1,-1,906039,631835,525471,898076,272166,588963,-1,-1,-1,300445,-1,304052,-1,642368,-1,287021,288493,821177,-1,670080,333813,615659,575284,-1,727303,-1,401001,-1,-1,508014,-1,-1,811978,-1,967630,678687,-1,916733,241050,915179,-1,-1,-1,-1,494251,-1,-1,435037,-1,156877,-1,-1,547769,-1,467918,744653,518286,532444,108465,561097,111568,-1,452306,501571,-1,-1,-1,-1,-1,-1,-1,-1,199509,-1,-1,-1,-1,857724,-1,-1,346314,-1,-1,590504,-1,-1,389794,894019,-1,-1,-1,-1,194753,-1,-1,-1,689349,-1,905721,-1,-1,-1,675554,519850,361292,696314,674146,316272,48077,710929,-1,942409,-1,564763,721026,689398,228914,656642,-1,362171,-1,-1,823861,-1,183737,-1,-1,-1,684254,306805,-1,-1,909652,-1,-1,359076,144176,-1,627087,392008,529818,884898,-1,946668,-1,-1,920284,459492,142283,-1,-1,812348,927812,-1,-1,-1,-1,-1,-1,389237,-1,875636,796262,1304,-1,244065,-1,893278,-1,847461,661843,-1,-1,-1,-1,-1,832859,-1,-1,-1,-1,-1,-1,231611,-1,411697,-1,891514,478125,-1,204067,61119,759970,174268,-1,820970,216691,-1,-1,-1,-1,361723,-1,-1,504152,685519,-1,-1,7340,847072,779087,546977,-1,145277,159833,-1,-1,538673,-1,990642,-1,379157,-1,368474,846350,153789,733424,728368,-1,-1,634726,-1,312997,22925,662904,-1,-1,-1,598505,-1,489183,123724,-1,318078,-1,-1,327846,-1,375307,32306,217046,-1,127343,387241,707590,383693,48102,-1,-1,-1,-1,-1,165725,-1,-1,-1,-1,430269,-1,304333,-1,660104,-1,659459,-1,-1,476546,720552,-1,-1,821714,566256,-1,538160,-1,-1,-1,-1,649291,39704,663778,-1,-1,439159,945872,-1,680570,292025,-1,399467,-1,286758,-1,-1,246621,-1,-1,-1,-1,-1,-1,-1,23169,119889,-1,-1,678281,-1,117943,-1,-1,107545,-1,-1,125978,-1,-1,755194,499880,131193,-1,-1,844151,-1,-1,731970,-1,121510,214494,-1,-1,-1,705237,851977,-1,-1,598324,762162,-1,401786,897938,-1,103365,-1,675038,370381,661937,209875,-1,438655,154851,909156,-1,903693,-1,-1,686033,326901,417601,-1,330799,-1,71852,440969,-1,-1,333237,822874,-1,-1,310186,152555,-1,-1,453080,-1,-1,-1,178983,357128,152886,-1,265898,10817,-1,-1,-1,994720,-1,-1,-1,307038,458575,-1,-1,620523,745797,-1,-1,-1,6127,-1,-1,183345,297400,113922,378320,466750,-1,-1,622870,952521,393936,-1,562180,-1,-1,-1,266348,-1,922439,-1,460065,-1,883577,-1,-1,352251,-1,-1,-1,-1,-1,-1,633817,966991,-1,6584,591507,-1,596086,-1,917188,768710,220154,691711,-1,-1,703193,-1,-1,-1,465168,-1,437739,-1,-1,-1,-1,-1,951652,112592,120652,-1,136166,-1,776711,-1,-1,-1,855712,-1,960716,-1,766064,-1,532933,-1,719265,216105,482175,794206,-1,196133,414282,-1,-1,-1,121230,-1,525226,940279,96356,-1,-1,-1,587092,-1,-1,906625,735155,-1,-1,264769,584555,-1,-1,-1,563829,910357,142472,941576,-1,-1,-1,827108,-1,-1,79261,-1,46126,-1,-1,-1,-1,257717,-1,111658,-1,-1,432984,-1,-1,332880,346753,702585,890653,-1,-1,-1,-1,760466,-1,-1,800923,185724,581629,-1,863310,-1,951203,237849,-1,441829,-1,582955,-1,137799,-1,-1,364952,-1,905059,457517,-1,-1,271679,-1,-1,798399,955996,-1,-1,-1,-1,-1,-1,-1,-1,81461,-1,-1,-1,-1,155633,-1,734601,843874,-1,569954,-1,402678,621468,-1,-1,655838,-1,-1,476635,514434,696975,415466,571582,643144,87851,-1,-1,-1,-1,561017,388324,218281,707895,455882,502678,-1,-1,-1,460716,749832,880393,634999,152010,-1,6325,615265,-1,-1,-1,341341,230484,-1,-1,-1,638916,669041,-1,-1,661042,526654,-1,761044,197066,383019,-1,-1,-1,-1,-1,-1,585267,-1,763255,156784,53198,503350,-1,-1,914017,113505,-1,725983,593716,-1,599808,833235,72817,-1,527248,162965,246668,-1,-1,-1,391370,157663,-1,249903,332313,-1,172718,-1,540223,-1,763238,510267,-1,375321,757422,486958,-1,652119,518233,-1,930270,171427,584242,819346,973639,507286,168646,545970,-1,-1,-1,-1,-1,396305,284759,195938,942537,26757,-1,-1,-1,-1,-1,-1,-1,-1,-1,310600,970266,419899,170524,-1,916221,-1,385693,-1,-1,-1,-1,-1,-1,246684,284296,254345,19868,-1,450287,203153,-1,781179,758031,-1,-1,503001,-1,-1,-1,-1,226911,-1,-1,882296,40113,356249,604838,660108,680384,-1,977610,-1,-1,-1,-1,978744,-1,846623,606938,-1,-1,189632,-1,-1,916877,841840,-1,-1,901340,-1,431644,-1,232710,879008,752239,753642,819094,870245,854446,-1,-1,686451,-1,341326,911093,-1,805959,-1,204446,-1,282919,960182,688416,554897,-1,-1,-1,-1,-1,616221,740203,165995,295387,361071,620960,685425,328797,978545,-1,-1,164357,-1,-1,-1,61959,-1,-1,-1,676460,10223,-1,309892,54051,-1,-1,-1,48497,-1,747986,-1,910348,376773,-1,-1,761613,-1,763270,555648,868074,584426,-1,-1,-1,-1,769210,507246,672053,517550,-1,-1,122059,-1,673415,-1,927958,-1,-1,-1,603656,-1,738003,-1,-1,220554,-1,-1,663511,647070,878367,-1,944930,936957,-1,114624,415324,668011,654255,64497,788724,-1,785929,-1,-1,-1,696754,544452,239377,485484,347200,-1,857960,749221,60096,-1,-1,197776,94137,340925,-1,-1,178292,173292,397250,394844,-1,-1,-1,-1,-1,542308,-1,613266,837615,-1,-1,781282,781408,-1,-1,-1,-1,565085,-1,-1,-1,390164,-1,232249,826924,685537,975781,-1,-1,-1,571660,368008,608650,-1,494093,-1,862401,455294,843753,746183,-1,-1,-1,221568,336682,-1,896906,-1,909611,-1,-1,-1,762790,-1,-1,849135,577671,242965,363678,827023,-1,-1,-1,-1,-1,-1,985916,499695,-1,-1,790276,529025,-1,-1,-1,-1,187969,-1,-1,997212,-1,147719,205604,-1,-1,-1,-1,727533,-1,478810,148342,86977,-1,-1,-1,-1,723762,-1,453294,949361,-1,318826,-1,875615,808689,725862,-1,-1,-1,715455,-1,-1,857829,-1,151155,-1,846390,335624,-1,520418,694086,639971,45364,-1,367476,494967,407706,631282,803608,759683,482242,797157,-1,-1,936873,675771,-1,277748,-1,-1,689449,-1,730140,819121,973704,883457,-1,134732,2849,-1,-1,813466,-1,370602,795550,721252,296784,795061,491935,-1,-1,243631,-1,-1,-1,-1,729517,-1,-1,135905,640823,-1,-1,-1,-1,-1,-1,691522,463831,-1,-1,-1,-1,960601,-1,-1,-1,920927,262513,-1,674397,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,907142,574946,-1,699502,153089,-1,-1,-1,-1,607239,622975,409758,-1,542052,997314,553624,-1,-1,-1,-1,84588,-1,-1,-1,795249,931959,198747,-1,348827,872407,841216,-1,-1,-1,-1,-1,476765,-1,-1,-1,908475,-1,-1,-1,850542,-1,-1,602283,-1,8112,-1,-1,-1,880509,-1,830523,898146,865292,-1,768,-1,-1,-1,367736,899088,917357,522158,98539,790018,-1,-1,-1,747585,-1,311926,-1,742995,754808,198844,-1,517938,-1,-1,-1,-1,766434,-1,563610,-1,-1,688446,809754,910491,-1,433402,-1,-1,-1,729584,73616,-1,-1,-1,427627,930541,-1,714822,810820,907347,457326,-1,368601,-1,-1,-1,994558,55022,-1,-1,526315,-1,568166,-1,947839,-1,-1,343447,-1,595157,793390,-1,249225,136112,-1,118093,675419,675076,321278,956559,920787,-1,-1,520963,-1,-1,-1,-1,246629,-1,-1,169959,-1,-1,-1,-1,443103,-1,-1,451146,650601,-1,-1,-1,741063,744240,962142,94039,444407,539304,-1,-1,419053,-1,155229,234011,95549,934428,-1,-1,133100,-1,387691,290817,-1,257170,-1,124681,790483,115129,-1,-1,565755,-1,-1,-1,526558,315097,-1,170587,-1,-1,301530,-1,-1,-1,279471,869614,-1,265104,-1,-1,949957,-1,-1,-1,663646,429460,-1,722557,636906,-1,619923,441214,-1,-1,159369,-1,582380,-1,-1,-1,-1,727338,462744,742618,440263,-1,118919,-1,-1,-1,-1,323272,-1,316096,-1,831876,523313,77970,786596,-1,814634,520211,-1,838132,727769,-1,252603,-1,801288,-1,-1,-1,-1,284895,-1,-1,-1,503999,231443,699159,-1,550023,-1,681546,-1,-1,497759,434051,285987,-1,776775,-1,-1,980412,-1,508667,-1,789664,-1,-1,858096,485175,538855,77101,-1,595696,-1,-1,417515,128019,-1,389662,-1,105131,225753,587751,925336,136946,-1,-1,599088,759873,-1,986200,287456,-1,-1,-1,-1,579029,343734,-1,578707,-1,-1,496031,-1,666492,-1,140419,-1,495015,334091,388428,-1,827764,384043,-1,-1,-1,-1,793594,-1,607662,-1,225347,371874,413356,802062,-1,-1,373503,-1,-1,-1,88333,-1,243439,690582,857509,-1,236908,-1,168170,674604,700062,-1,100797,606213,-1,-1,723859,-1,-1,877839,-1,291379,-1,55630,514845,533928,-1,322013,332921,-1,598419,-1,-1,682569,638101,-1,-1,-1,236368,174456,-1,-1,-1,258137,-1,-1,13013,154645,470474,277932,-1,773216,960952,-1,-1,-1,-1,-1,442847,-1,-1,848632,-1,-1,1397,425116,860795,228670,-1,488969,-1,278823,896138,-1,-1,-1,-1,758543,816111,29226,667556,395826,683350,638265,307440,-1,509036,668754,91005,-1,-1,77290,339938,367951,-1,-1,-1,115198,-1,829866,944274,878049,991502,845164,685225,897673,304410,608411,485348,-1,954768,-1,634277,-1,-1,218009,849481,-1,-1,740705,455190,84333,927799,449824,394129,-1,-1,637765,600272,-1,-1,264589,-1,-1,492064,-1,-1,-1,-1,-1,-1,-1,23727,-1,290925,-1,-1,-1,-1,-1,-1,814464,-1,108249,263458,647601,301302,-1,-1,-1,-1,679260,-1,-1,-1,-1,933538,-1,180335,-1,103196,-1,-1,-1,92837,-1,-1,542651,557565,-1,605697,979338,242729,535761,334263,334524,21152,-1,294844,-1,-1,-1,-1,-1,400584,-1,969141,646769,-1,-1,-1,374075,-1,-1,-1,-1,995641,-1,-1,721718,169099,609576,805991,-1,276021,338363,596915,-1,-1,575346,-1,-1,238380,-1,-1,133245,735850,-1,-1,914112,-1,-1,-1,-1,107625,-1,893225,770906,-1,-1,637791,-1,978661,-1,-1,-1,-1,544513,403783,-1,-1,-1,-1,-1,361051,-1,796154,398479,216883,794348,-1,319749,-1,164627,98701,-1,210816,-1,978709,817400,678349,-1,-1,947768,-1,692299,247858,-1,-1,309778,406153,-1,-1,-1,72291,-1,-1,832931,975229,637051,-1,-1,300298,551765,779833,452663,-1,249152,277169,-1,-1,705557,524025,465103,-1,798080,-1,-1,262672,618030,633202,-1,74950,-1,-1,-1,-1,48627,375136,490446,953282,-1,-1,-1,-1,-1,-1,-1,-1,-1,250401,316485,708646,678443,377872,-1,239168,-1,913494,-1,-1,-1,-1,-1,852876,-1,341088,273055,-1,533126,-1,-1,788149,164395,239209,-1,185294,466852,488886,-1,-1,-1,982412,-1,198976,-1,-1,-1,-1,800177,-1,-1,-1,-1,229876,-1,756464,-1,-1,-1,268110,823841,-1,-1,826203,-1,32071,-1,-1,867349,-1,-1,142596,341931,377892,823871,383780,-1,-1,952029,687781,808851,731869,-1,-1,-1,-1,-1,-1,-1,-1,328439,236833,-1,-1,-1,-1,-1,803491,-1,-1,162694,-1,-1,-1,8997,-1,-1,88757,-1,711659,-1,332279,310240,151921,952597,-1,730901,-1,-1,-1,106111,-1,-1,561409,-1,-1,414331,178115,-1,-1,149696,907446,-1,-1,-1,-1,-1,477687,947262,-1,-1,-1,725106,-1,-1,417242,-1,-1,-1,-1,752533,-1,-1,674794,635877,-1,293263,-1,14197,849493,-1,552587,-1,-1,-1,-1,868888,-1,52805,-1,-1,-1,900806,18812,916891,-1,-1,-1,-1,-1,280962,705044,519872,-1,-1,-1,-1,684128,434950,-1,-1,735399,317603,307988,233360,467138,853588,-1,367009,-1,866262,-1,821879,-1,-1,350170,-1,261930,654053,885593,-1,991847,454196,418291,221264,-1,-1,528101,201182,736397,-1,-1,-1,-1,-1,559269,172798,-1,-1,951716,939218,-1,144772,238476,-1,-1,-1,262367,40316,962717,-1,-1,-1,264141,788817,-1,-1,411164,-1,40372,-1,-1,-1,-1,816770,-1,-1,-1,-1,930370,587476,833559,319760,-1,-1,894948,550084,-1,-1,280521,931174,-1,-1,-1,-1,303872,483638,976876,841767,-1,-1,89522,-1,337102,875020,839517,702898,193144,-1,776577,-1,929509,-1,360380,-1,193235,789598,-1,-1,-1,650965,-1,-1,-1,909016,714579,667911,102763,658753,913117,224542,428781,522696,236718,-1,-1,-1,27849,-1,767520,217010,998101,323285,-1,-1,193808,646986,-1,959716,319042,107324,-1,-1,-1,692283,580570,-1,-1,-1,-1,762220,-1,-1,66119,964111,-1,-1,-1,-1,410792,550098,-1,-1,-1,-1,-1,623792,-1,197627,323703,-1,-1,-1,67956,25912,678077,-1,-1,-1,139501,-1,957679,-1,-1,530987,974159,844555,823854,-1,-1,397027,715662,-1,-1,356942,-1,971734,-1,-1,-1,920376,-1,-1,979808,817246,-1,-1,-1,-1,-1,-1,989813,661012,-1,-1,-1,-1,-1,298179,-1,931489,-1,-1,898545,-1,-1,458540,-1,-1,470286,688084,-1,177619,-1,727867,900908,-1,904476,708686,93788,482140,-1,465332,736661,-1,663943,84788,768177,-1,-1,-1,810774,335324,-1,-1,27081,-1,-1,996099,-1,819190,-1,316403,-1,-1,75725,-1,677570,156998,435875,-1,72370,379776,791755,72713,-1,-1,646618,-1,881421,879324,-1,-1,900997,-1,-1,-1,640374,-1,-1,-1,44,-1,-1,-1,962460,763274,283970,-1,-1,-1,-1,-1,455859,-1,-1,-1,-1,68566,-1,589493,-1,-1,589104,212625,-1,913543,111245,-1,-1,909662,97001,314388,195033,-1,116629,365910,775172,-1,-1,-1,262057,-1,426137,765689,489503,500561,344385,-1,711407,-1,935386,148229,-1,-1,-1,511976,-1,-1,-1,79267,343388,-1,-1,-1,148121,861583,478890,-1,-1,112209,69697,474828,-1,-1,-1,997349,17073,938852,773520,-1,296493,200973,-1,-1,701491,466594,591093,-1,-1,255848,891960,715704,971091,-1,-1,674478,-1,298536,-1,-1,451233,3045,-1,153866,937457,197149,625196,-1,850011,153133,159149,104779,475240,130761,247379,-1,-1,-1,737042,-1,112022,220093,828423,-1,-1,-1,783722,-1,770448,662399,28586,486765,-1,221665,-1,638930,-1,760764,434053,838102,501079,-1,548443,-1,-1,-1,-1,-1,404488,25741,961013,524155,730349,799008,106060,-1,-1,284073,47904,498716,-1,-1,-1,959586,-1,375233,-1,-1,-1,896509,-1,892958,986480,-1,39275,341997,372399,360968,-1,267212,574058,132669,905201,515676,-1,-1,-1,-1,183618,-1,557909,-1,-1,-1,990372,-1,-1,570144,-1,619548,620516,729695,665328,-1,-1,296427,146018,-1,757735,788986,291544,-1,299235,367819,630871,-1,597549,-1,-1,-1,-1,756065,-1,814473,-1,-1,950834,-1,840317,82346,-1,-1,-1,-1,-1,-1,327457,50310,494624,-1,44192,558789,251076,184727,-1,-1,-1,-1,-1,971371,922610,-1,-1,-1,60704,-1,-1,-1,-1,-1,-1,467457,-1,217648,-1,516115,-1,-1,794864,-1,-1,235330,-1,4765,297873,270321,17586,299633,929645,-1,-1,-1,155698,-1,-1,929795,278148,284359,-1,126919,416476,521148,-1,182400,-1,-1,-1,4207,149689,329310,651414,-1,872774,-1,372737,828324,-1,-1,634838,-1,100745,-1,561392,94825,-1,712620,476782,-1,245700,-1,571289,95179,401305,641711,-1,-1,625344,-1,638730,-1,-1,39796,252587,-1,-1,-1,66837,-1,-1,489253,-1,-1,683826,-1,-1,-1,283891,-1,117502,-1,239201,-1,279875,-1,-1,5724,-1,-1,-1,-1,221453,918664,883763,621142,-1,792000,-1,-1,-1,-1,897128,925544,591699,875475,244836,466149,-1,-1,73966,-1,-1,654722,29502,384273,-1,-1,-1,447948,-1,-1,-1,353175,-1,784169,-1,543612,-1,58454,115725,579064,-1,-1,99351,346673,-1,-1,-1,512896,-1,675818,533365,811065,282193,339570,776454,-1,-1,-1,-1,744270,-1,-1,639442,-1,-1,988052,-1,-1,-1,65992,-1,41460,548921,-1,253875,34116,486584,946885,-1,-1,370421,-1,-1,-1,908436,-1,-1,-1,-1,564279,-1,-1,659309,-1,35491,-1,648875,679985,886689,-1,-1,238243,-1,354549,680885,722061,-1,718754,-1,750755,303773,-1,97768,539899,270894,774650,-1,784197,-1,-1,-1,-1,171764,782482,-1,975773,508800,577896,949337,741444,616504,-1,-1,529174,-1,-1,425257,87631,78622,-1,67400,464663,666871,-1,-1,-1,-1,-1,705599,247889,5322,10540,-1,-1,550451,232927,271152,856398,396032,656591,227093,476777,56302,-1,318655,401630,146128,64384,-1,-1,-1,223293,-1,-1,870632,285866,-1,652032,39728,-1,-1,-1,-1,-1,-1,-1,67034,-1,182308,169713,-1,-1,-1,-1,-1,466496,589317,965837,812192,431024,-1,-1,295224,-1,-1,26953,727433,-1,130443,-1,-1,289475,643635,70207,-1,-1,65501,-1,114299,-1,706143,407187,-1,-1,-1,906507,599984,-1,774849,973199,-1,-1,-1,208896,229178,764733,-1,38218,-1,-1,-1,994613,135136,-1,-1,304613,-1,-1,-1,-1,-1,-1,682936,-1,18376,556311,-1,-1,-1,-1,-1,-1,-1,969922,687212,-1,-1,-1,-1,-1,564625,-1,537799,872974,388170,845488,544563,-1,513182,-1,600835,-1,-1,-1,584034,248952,951270,576871,855033,80131,717809,-1,641360,134268,828456,-1,524790,997403,384160,837545,841723,-1,115410,-1,-1,-1,187016,740103,812802,-1,-1,881886,-1,-1,-1,-1,220699,334185,416915,-1,-1,578386,-1,-1,299619,913145,-1,-1,787810,429394,-1,-1,237841,283400,-1,-1,-1,251984,850485,-1,968892,-1,-1,-1,873623,79986,986108,-1,-1,374659,245106,-1,161454,748509,-1,161716,872881,-1,-1,-1,-1,827154,900045,828963,23798,-1,-1,-1,-1,-1,863447,-1,335266,90978,-1,234173,-1,116171,-1,612264,-1,-1,-1,182462,541732,415685,302052,958614,-1,176801,-1,-1,-1,623660,611864,197092,318176,-1,-1,-1,-1,910416,-1,-1,-1,-1,-1,-1,-1,558717,-1,-1,58219,-1,654289,-1,-1,-1,850064,111004,337978,-1,-1,-1,774653,365503,845234,-1,353782,-1,167538,903457,-1,981931,-1,205207,-1,49522,779510,11083,314728,-1,-1,-1,-1,36755,466937,990054,-1,-1,-1,-1,-1,545043,-1,78499,-1,-1,-1,634779,617490,157155,-1,49580,-1,836796,-1,-1,-1,119306,952408,-1,832261,661080,-1,-1,585628,-1,144943,-1,-1,24395,-1,-1,688695,-1,150793,130679,-1,-1,-1,963058,-1,318017,-1,727389,-1,-1,-1,-1,-1,-1,732185,209244,845175,-1,-1,-1,-1,-1,689229,926571,944433,355864,-1,731880,117876,43599,-1,-1,-1,277972,299824,806641,260611,694012,-1,-1,-1,-1,-1,-1,25505,146450,-1,540866,638053,-1,641134,534080,-1,-1,908450,-1,-1,-1,-1,740314,614476,933814,70749,-1,111006,-1,-1,-1,881080,835412,-1,800094,62977,225576,-1,-1,556219,988097,-1,790147,-1,-1,-1,-1,688414,-1,-1,-1,-1,379716,-1,312976,-1,-1,230946,-1,-1,209001,-1,691239,221021,-1,-1,233935,-1,868148,712713,282108,-1,-1,738699,823132,-1,556501,-1,662515,756874,-1,-1,231758,-1,70283,-1,257728,186431,-1,458535,887768,263210,-1,705276,225114,-1,-1,125994,955688,379386,-1,-1,185471,-1,-1,-1,-1,-1,121651,-1,862230,-1,954497,-1,836241,-1,463695,-1,13857,-1,-1,-1,179602,588385,-1,25262,-1,-1,639748,-1,574331,44518,631871,903799,918467,960042,-1,466532,-1,-1,-1,877720,-1,-1,-1,-1,-1,831632,155421,262414,746013,-1,-1,-1,130428,975336,744787,-1,200025,380043,685790,829758,-1,-1,2823,-1,430949,246498,-1,837040,-1,474115,-1,-1,984977,405532,391182,870995,-1,859720,-1,-1,-1,441734,-1,-1,89689,238575,-1,950125,67680,-1,-1,419281,354321,315687,906144,346537,-1,-1,27404,167156,-1,-1,-1,214924,-1,164600,203177,-1,-1,868494,-1,500753,-1,686343,869232,136062,534813,620829,19503,-1,-1,238282,-1,-1,185235,-1,-1,-1,-1,60113,-1,76759,806197,329986,256051,-1,-1,317804,-1,-1,370790,671625,491772,-1,-1,-1,848763,909723,-1,-1,-1,529873,-1,-1,41459,-1,-1,663073,409323,-1,-1,704093,-1,-1,570726,-1,821045,-1,104519,-1,-1,-1,921324,-1,-1,-1,-1,736219,-1,-1,87029,520836,-1,-1,-1,640343,760737,-1,128298,-1,-1,-1,-1,-1,504724,-1,216782,840069,-1,416272,-1,-1,-1,-1,369902,-1,247807,-1,-1,48236,-1,975126,-1,912417,674498,509113,-1,56954,529779,501062,426125,-1,480455,806911,-1,827621,373599,848019,-1,-1,523809,-1,264973,-1,-1,-1,946401,918955,-1,889759,404723,308453,24898,19196,-1,889073,-1,865611,761599,56919,232156,67499,692356,870673,-1,804965,712046,-1,-1,-1,-1,409709,267975,-1,575913,-1,139493,197791,617802,-1,932900,740566,497879,974883,542090,448768,-1,64181,-1,-1,-1,-1,732704,446471,145531,-1,511592,-1,987018,434231,-1,911535,-1,-1,44623,-1,-1,850258,206695,-1,-1,-1,-1,411550,-1,-1,812890,-1,-1,-1,178926,-1,-1,259951,193772,650418,262724,204802,422545,663487,912205,106266,-1,523381,-1,-1,-1,256154,-1,-1,600840,-1,-1,510273,398260,458621,-1,-1,-1,-1,-1,144425,945954,-1,-1,739119,-1,394736,-1,-1,562303,855028,446552,-1,864896,83141,499093,-1,161500,23690,-1,782222,209153,831863,-1,263044,24066,-1,257676,-1,-1,234510,-1,-1,348194,10710,-1,-1,-1,-1,297411,-1,669043,-1,-1,611902,-1,762535,315359,226079,-1,20526,190780,655695,-1,-1,-1,741108,16243,856984,530174,142801,402347,931732,333084,-1,669196,-1,393116,975815,-1,569386,217318,127765,841407,561151,627175,-1,-1,641341,45666,962320,-1,-1,-1,449659,763058,-1,739614,-1,-1,-1,-1,-1,634133,-1,196341,-1,252538,289773,573012,64388,-1,-1,-1,393017,126894,-1,62077,387513,590632,-1,-1,-1,-1,-1,870573,446185,613242,-1,-1,-1,-1,-1,-1,204799,607184,551709,-1,444498,490423,-1,584480,-1,257198,935278,-1,757707,961632,-1,825539,-1,438606,-1,2749,-1,-1,462047,878856,-1,319052,-1,-1,36647,993420,-1,-1,439009,757278,-1,867350,-1,825324,-1,18433,-1,131123,-1,-1,-1,-1,-1,-1,-1,-1,129950,-1,-1,-1,-1,-1,106023,918503,928539,-1,-1,-1,-1,729291,-1,845210,813062,470324,-1,-1,273792,102822,177481,-1,-1,-1,-1,798266,-1,354232,471284,-1,-1,856628,-1,-1,87370,799064,755456,-1,334884,-1,771187,526585,-1,731228,-1,894054,626540,34902,8410,-1,-1,-1,341430,-1,-1,437020,-1,-1,893002,-1,-1,683179,-1,28011,-1,455229,650035,-1,-1,-1,-1,240182,652535,178322,107537,9888,-1,-1,-1,-1,76838,819106,840714,953655,917076,-1,449676,314033,-1,-1,218681,519851,-1,899099,837229,-1,-1,10324,-1,662497,882391,-1,-1,-1,698598,442277,-1,900404,66685,-1,238100,496395,-1,-1,-1,140640,721980,-1,623537,824204,-1,483699,953893,-1,-1,923786,493810,501621,948221,416743,76004,-1,84512,-1,-1,-1,-1,390169,-1,447361,-1,859958,-1,-1,337363,148406,232438,498947,37080,729280,-1,-1,-1,31742,-1,-1,861488,996693,-1,-1,-1,939152,-1,613916,465486,806699,112351,-1,465578,-1,-1,-1,394796,-1,-1,-1,551919,-1,963562,350747,70580,-1,185174,-1,-1,-1,696142,184953,317916,-1,569609,115288,335389,764391,656419,30922,315261,498979,-1,-1,-1,775058,-1,-1,555331,521269,-1,-1,396369,-1,6555,-1,789280,-1,457804,-1,599124,-1,-1,962850,550517,-1,-1,996092,-1,807938,-1,16421,-1,973699,-1,-1,-1,-1,479452,462979,-1,187878,719860,632692,-1,-1,-1,-1,549399,-1,837098,-1,57275,-1,321040,-1,-1,836047,688951,-1,952266,-1,-1,534515,478339,990328,-1,811434,-1,497567,-1,792842,-1,-1,45499,-1,497440,750527,722622,141975,-1,586453,-1,-1,894292,-1,-1,-1,255055,184733,912542,190175,-1,848500,-1,-1,120733,-1,-1,987372,-1,92284,-1,-1,-1,809296,-1,808118,-1,-1,854403,775340,-1,-1,261866,-1,304016,887303,-1,820330,124512,-1,-1,-1,-1,-1,-1,497580,-1,-1,-1,246360,-1,-1,-1,-1,273256,-1,-1,421461,283795,-1,-1,-1,-1,-1,-1,676520,-1,-1,-1,-1,-1,412264,543776,786409,560950,95488,48695,984735,838566,654336,845842,156633,187960,816207,101698,597402,-1,740149,761645,-1,790007,855074,310513,-1,275712,950665,-1,461200,-1,428289,-1,-1,-1,490543,663650,547697,-1,-1,484247,134335,-1,-1,-1,195627,-1,-1,436512,922179,146813,659912,838185,947399,210839,-1,-1,7228,514969,-1,917612,-1,-1,99345,97549,734127,-1,854574,407465,556584,-1,-1,334361,657966,-1,-1,-1,243120,-1,843465,282258,25407,-1,-1,-1,-1,-1,447107,583043,-1,-1,712464,-1,-1,-1,744067,760640,222403,-1,619226,318056,442728,216745,848643,403052,-1,331359,-1,-1,-1,455474,-1,493988,-1,-1,-1,955323,-1,-1,631126,-1,268518,534137,996561,28926,282604,758548,557929,-1,288790,-1,-1,-1,11497,-1,19983,-1,745998,-1,-1,252088,847992,-1,-1,31324,262222,840635,-1,-1,966666,763288,-1,-1,-1,-1,-1,-1,-1,791014,159955,98484,-1,602824,-1,882589,892821,-1,593392,63746,936812,-1,-1,932705,-1,-1,240298,925415,-1,-1,-1,-1,312881,-1,-1,797575,911523,618035,-1,-1,-1,-1,236968,348029,910533,146010,648648,-1,-1,468124,-1,-1,-1,-1,-1,-1,-1,685574,-1,-1,-1,-1,972245,823477,237271,-1,-1,180244,-1,-1,241129,-1,-1,840781,899670,776459,312757,-1,-1,-1,353360,931060,-1,642630,-1,473375,-1,13026,-1,479747,-1,-1,259480,-1,-1,-1,648937,655068,-1,984629,-1,-1,-1,844267,498962,284864,642865,-1,371444,-1,902417,-1,-1,-1,148286,-1,-1,-1,-1,966014,827581,-1,-1,-1,100357,-1,72798,981303,-1,-1,57620,-1,-1,-1,-1,959522,998092,869296,-1,46949,-1,491475,551773,38735,-1,-1,-1,-1,450458,460598,549706,-1,-1,-1,471577,-1,-1,567911,89301,326513,-1,-1,539929,571525,-1,703964,-1,590791,-1,-1,-1,-1,-1,-1,578571,983838,144041,782105,720945,721548,261314,645945,-1,790148,187302,-1,838260,-1,-1,-1,984246,534281,711173,-1,-1,282200,119197,-1,-1,860921,-1,-1,576353,850289,-1,938468,-1,-1,-1,1937,-1,-1,741407,-1,596575,-1,525600,-1,727962,28321,90037,247271,-1,-1,-1,636071,-1,-1,-1,-1,-1,773835,-1,425485,289643,-1,183896,-1,609363,-1,-1,-1,-1,-1,129445,325661,-1,-1,-1,104414,946380,900601,-1,-1,-1,649919,-1,-1,717498,-1,-1,-1,-1,-1,437439,-1,955986,773831,-1,-1,534439,-1,869667,438943,647955,602785,975982,-1,-1,-1,470610,-1,693634,514514,-1,657018,-1,-1,259728,-1,744292,-1,678839,-1,-1,140557,-1,-1,450687,-1,-1,-1,-1,531108,-1,-1,570298,748060,716478,738559,-1,29475,694324,986691,-1,-1,159142,13758,-1,684265,-1,-1,40530,557450,517583,-1,-1,720923,943060,90436,-1,643805,-1,-1,321551,-1,-1,-1,793876,-1,-1,118205,-1,300790,-1,-1,-1,-1,881514,298384,-1,522464,-1,-1,542121,488099,664074,729704,192819,-1,498737,-1,920243,190461,-1,107741,-1,-1,472307,-1,-1,-1,-1,91797,321475,-1,265339,760710,-1,917022,866499,-1,640442,-1,-1,924003,-1,-1,385049,-1,285839,-1,294652,883211,-1,161212,738014,-1,865466,-1,-1,-1,497438,-1,-1,351357,769771,577068,663495,279059,824982,-1,231815,629509,-1,175180,-1,596395,-1,63041,868040,489324,-1,853465,602603,172550,-1,296129,974043,909338,723767,563738,402816,947416,38012,-1,-1,399145,-1,-1,359831,-1,-1,-1,838922,937313,678779,-1,213755,-1,-1,-1,979930,882497,-1,860422,-1,-1,-1,619172,392237,-1,377887,-1,923746,-1,-1,655624,-1,274168,780417,792619,298943,-1,-1,729096,505631,-1,-1,-1,-1,482917,-1,682114,-1,415764,278905,-1,-1,637718,705325,411558,-1,-1,22864,-1,866906,-1,881719,393464,872186,-1,9585,-1,-1,516085,-1,-1,-1,-1,469694,276279,157457,255394,-1,-1,651961,721030,-1,-1,199420,-1,39939,141363,2776,-1,203466,893942,668307,344490,23600,-1,-1,-1,644034,99832,-1,236052,-1,968260,983115,325224,596871,-1,469021,-1,263036,941996,338159,-1,-1,912750,-1,544477,116190,-1,-1,-1,499513,600607,-1,-1,-1,-1,701745,430255,-1,766194,-1,-1,675648,212748,-1,691710,11525,-1,-1,312929,-1,-1,-1,-1,-1,-1,-1,746522,-1,-1,-1,-1,-1,-1,-1,-1,348755,-1,351603,-1,939103,-1,-1,390661,947614,245966,-1,705193,31445,-1,661403,781364,927338,431664,183324,-1,604642,901256,-1,-1,-1,-1,-1,-1,-1,553161,611475,344795,770554,-1,623115,359197,-1,1538,193735,-1,-1,-1,133208,104493,-1,714902,-1,-1,-1,650325,-1,428198,-1,109781,-1,756895,-1,563469,450120,-1,253556,-1,-1,832750,-1,853842,-1,-1,-1,225140,-1,836396,-1,755478,821027,-1,-1,870211,885673,72892,-1,534192,624045,58840,-1,625731,-1,-1,941788,-1,545621,17285,715398,-1,-1,224227,-1,125986,113310,-1,-1,695968,815115,251290,160635,904789,-1,263884,-1,-1,96420,-1,-1,-1,491337,-1,883584,422732,535984,63147,940142,476938,-1,811685,-1,-1,-1,-1,-1,45228,133276,-1,814451,-1,-1,-1,262055,193356,714509,-1,494608,-1,-1,-1,963440,-1,-1,947315,315563,-1,-1,428312,-1,-1,965004,-1,140548,812854,316858,-1,-1,131697,730499,-1,-1,269336,400949,190749,-1,-1,792448,-1,-1,847340,590714,-1,276061,-1,-1,792920,-1,619076,-1,-1,258976,170977,-1,-1,750219,335252,-1,-1,-1,-1,953103,681549,-1,870708,-1,405067,-1,-1,38559,-1,655190,-1,310886,-1,-1,-1,704409,480978,847832,403378,-1,-1,670632,941284,612526,-1,-1,-1,-1,-1,986790,-1,401078,-1,406279,309738,-1,500123,-1,-1,-1,-1,895149,265574,-1,890647,-1,-1,-1,-1,271390,-1,114596,211646,-1,-1,-1,-1,-1,464175,-1,-1,210466,953359,342473,-1,757786,216209,-1,527694,291707,417662,438573,281783,-1,-1,297774,343261,745044,-1,286614,76997,572939,958365,-1,-1,688462,-1,-1,-1,683351,-1,-1,979098,11439,-1,17336,434226,-1,-1,-1,173042,-1,904163,-1,-1,-1,920673,557381,497360,924644,-1,737201,719039,565205,411500,-1,-1,-1,-1,81088,678173,650261,-1,706824,-1,435128,-1,443759,472454,756941,-1,-1,601306,-1,32181,544731,-1,410443,962534,-1,8187,444606,-1,755918,837822,-1,266685,-1,276649,243867,-1,-1,325344,-1,76808,-1,990894,-1,987990,-1,746058,266019,165382,135691,453136,728710,989680,-1,-1,973558,-1,-1,251874,-1,-1,-1,452459,198518,91652,-1,-1,693070,821686,23420,-1,476145,184759,365103,-1,230643,129511,-1,609879,31808,864643,-1,-1,968665,34403,827379,406313,417057,847866,-1,-1,-1,361431,630775,152486,167100,-1,653371,506859,-1,-1,-1,-1,-1,553959,345402,327405,-1,-1,363377,349454,-1,-1,-1,-1,826443,-1,-1,478694,-1,62826,-1,-1,-1,-1,-1,875465,-1,-1,-1,981481,-1,149683,-1,-1,-1,-1,-1,-1,409152,696060,70153,-1,103443,699331,198916,484920,-1,-1,-1,-1,465648,736952,-1,-1,226702,138220,202243,432212,209067,732421,507120,453307,-1,-1,-1,292486,177231,-1,124828,-1,-1,39165,-1,-1,699343,-1,441654,-1,588755,-1,315400,-1,-1,-1,319818,-1,504439,-1,98474,638255,216468,-1,-1,-1,-1,916010,-1,135306,183771,343284,-1,109231,-1,-1,-1,-1,81899,344492,614761,-1,458257,471451,782782,-1,828287,662012,-1,128633,-1,-1,79727,-1,922992,27203,294868,156414,-1,255890,208821,-1,-1,-1,471741,91042,-1,677242,-1,-1,-1,-1,-1,-1,761506,-1,-1,-1,-1,955712,-1,-1,-1,-1,122271,-1,115672,195497,647004,-1,173512,-1,295578,207385,-1,729094,909023,-1,846695,645810,-1,440287,-1,709060,-1,33414,-1,-1,122897,371754,661269,961287,845615,-1,276266,819836,-1,330606,795833,548254,34108,-1,565095,-1,102810,-1,-1,-1,-1,-1,131330,61389,-1,934857,958972,207690,507901,254063,143134,382181,959362,239104,408954,490596,406096,724530,209988,-1,-1,736924,-1,983641,-1,947361,544385,-1,-1,787688,688340,914983,144073,-1,41786,795199,774685,954459,-1,887094,-1,-1,22557,-1,593319,568674,334497,-1,-1,-1,309662,82836,-1,766833,241762,691919,-1,-1,924565,556700,815232,-1,209031,614097,-1,970388,369313,-1,869628,387132,-1,-1,-1,-1,-1,-1,-1,933152,766198,335408,-1,880862,10822,668319,343340,602464,23267,368033,204920,977077,90643,50837,382815,-1,-1,-1,515949,-1,-1,373429,-1,881334,492787,260470,713994,764833,590902,-1,942734,-1,-1,761172,-1,-1,-1,-1,-1,-1,-1,196494,879775,653671,553766,449745,646244,-1,-1,-1,940007,-1,-1,-1,510385,-1,90244,676508,205983,5032,-1,587299,743100,-1,896451,-1,810911,840352,718657,-1,548292,268898,80328,364522,-1,-1,675601,929467,-1,653123,98085,-1,-1,80371,-1,140430,-1,5543,544195,597104,-1,-1,666965,-1,-1,899046,-1,731394,-1,-1,-1,-1,135413,-1,564145,625070,-1,-1,942404,113837,393222,-1,-1,729365,984343,177770,-1,14871,-1,523691,-1,20845,97483,-1,-1,803251,311640,-1,-1,565681,487593,32928,-1,-1,122753,-1,-1,726879,581081,265482,516590,834260,-1,-1,-1,572376,-1,910651,895709,592727,-1,-1,-1,-1,-1,-1,984473,-1,254417,-1,218297,-1,-1,-1,940483,-1,201979,124287,996617,-1,-1,-1,-1,-1,40127,-1,693499,-1,95776,846948,-1,-1,-1,250697,302645,748301,580283,-1,214128,-1,-1,156315,-1,469418,222536,-1,318318,740971,658879,-1,787295,-1,-1,-1,841735,937137,586512,119417,261063,-1,-1,-1,864413,-1,428379,-1,465425,-1,824263,-1,1558,750878,-1,-1,-1,648265,-1,-1,-1,597119,469490,-1,-1,-1,95961,865866,-1,-1,582602,-1,494630,598487,-1,-1,-1,657772,-1,-1,-1,-1,-1,-1,-1,816147,371113,-1,-1,-1,-1,501276,-1,-1,244727,-1,-1,355816,-1,-1,581831,-1,-1,464881,729720,981392,-1,695846,508639,835279,-1,-1,895279,143105,631296,-1,-1,-1,-1,-1,-1,-1,-1,121101,331177,-1,-1,-1,226813,332333,511577,528340,395440,-1,-1,-1,-1,700318,467756,-1,-1,-1,678055,546651,728106,328585,670244,808682,-1,-1,141420,487164,161612,268274,953514,-1,-1,374662,280174,-1,-1,679833,964223,57049,-1,-1,48578,-1,132930,907715,362664,818311,-1,-1,-1,-1,10535,157471,769806,-1,-1,665125,96385,-1,194267,859810,-1,-1,-1,-1,-1,-1,483188,692930,-1,406554,152312,-1,540760,814639,300740,511399,479567,423445,-1,328889,-1,143444,-1,121668,-1,33689,-1,643510,-1,-1,-1,580815,-1,-1,460995,868628,398637,218186,-1,-1,-1,694446,-1,-1,260337,-1,559884,-1,593073,-1,-1,-1,-1,308430,111541,-1,118007,118066,245575,69043,300032,88959,794549,724432,452797,126226,274815,-1,536776,274977,366458,-1,402854,955229,-1,-1,134237,678295,736327,809811,37242,171978,63318,783158,-1,764940,-1,396830,38687,474974,378207,-1,-1,-1,-1,-1,-1,956029,-1,-1,384233,519334,-1,663824,-1,221870,-1,-1,132268,-1,314635,-1,-1,437839,88469,-1,776092,-1,-1,-1,5161,611319,699520,725590,-1,-1,783161,-1,-1,45639,-1,-1,-1,-1,-1,-1,-1,511212,867661,-1,-1,387583,880187,-1,746382,-1,817541,433277,36640,359869,943995,-1,-1,-1,-1,666671,441041,-1,150466,177557,-1,-1,840835,-1,270870,594430,143212,-1,971890,101492,323039,310849,677746,682873,-1,935838,618085,314046,-1,-1,-1,239293,892749,539093,-1,-1,694416,445771,-1,950854,-1,845473,915899,113256,-1,-1,126324,-1,844049,260093,665000,-1,-1,401147,-1,226034,989610,737878,-1,-1,455957,-1,82004,-1,-1,22648,-1,704978,210888,-1,784745,-1,300519,592637,586817,-1,855633,316210,712087,188952,-1,-1,-1,987522,557007,976471,7998,-1,-1,675567,-1,130628,-1,-1,986876,-1,705442,-1,899336,531479,-1,-1,-1,-1,-1,276609,-1,629644,-1,-1,-1,-1,-1,-1,435024,648840,-1,445827,-1,350031,600010,-1,93842,14601,872314,-1,-1,-1,-1,-1,-1,86737,-1,-1,-1,-1,388750,-1,948616,-1,124966,-1,-1,155927,-1,838838,35590,789704,941427,158185,-1,850850,-1,-1,805896,-1,117273,326273,-1,-1,-1,-1,-1,-1,602071,-1,-1,-1,487532,132399,919133,-1,-1,518295,195557,608718,280376,-1,-1,-1,-1,-1,649881,-1,916297,600959,976252,-1,147141,626027,18131,-1,256319,457338,-1,-1,-1,551835,527823,-1,-1,-1,-1,-1,2791,-1,72225,-1,221691,-1,364594,684711,-1,-1,710910,-1,-1,495293,964447,264966,653428,732582,618232,265302,349874,-1,973307,197887,-1,372150,-1,684432,-1,113192,746429,690399,-1,640313,-1,557200,-1,-1,-1,-1,339473,989743,-1,-1,-1,317885,-1,907819,-1,-1,230078,455593,-1,527617,539186,-1,661006,-1,-1,-1,-1,187214,-1,-1,394622,141154,675323,649527,-1,-1,903270,-1,-1,-1,-1,-1,-1,-1,-1,-1,161859,13701,51000,54415,-1,808592,860154,803384,333536,776752,-1,-1,-1,-1,-1,-1,53597,490976,-1,-1,846384,-1,70819,780040,-1,-1,989038,-1,-1,753155,-1,43085,770894,-1,-1,7311,655593,-1,444056,-1,812411,-1,-1,-1,-1,-1,-1,189915,-1,256304,300044,443839,-1,312990,561578,379652,-1,402172,894719,785883,-1,-1,194879,-1,-1,358559,64639,119855,659426,606417,39190,255928,-1,-1,-1,-1,-1,-1,-1,462963,999469,-1,629019,-1,715692,281901,-1,794706,-1,-1,884204,680483,-1,631063,239495,355536,-1,-1,-1,-1,-1,509639,-1,-1,-1,-1,-1,-1,-1,48027,979878,-1,-1,877762,375558,-1,-1,-1,-1,502858,267408,-1,-1,833299,-1,-1,-1,-1,-1,783979,-1,-1,985671,128564,662616,-1,-1,813919,581215,224270,-1,-1,-1,-1,598097,349994,-1,-1,-1,-1,8159,75548,464959,-1,96926,359885,-1,580408,-1,555858,-1,315181,989714,513445,-1,-1,-1,-1,-1,-1,-1,503504,-1,365328,337850,-1,57893,875439,636196,231478,-1,-1,-1,-1,-1,440503,519330,642423,-1,-1,606950,-1,954883,-1,896585,757931,-1,-1,431341,-1,-1,55299,291603,335545,-1,-1,-1,45154,131630,-1,-1,697537,797148,993062,-1,-1,-1,606728,-1,817081,-1,60532,-1,383707,111162,677838,-1,752194,799503,152307,-1,590598,536015,-1,880723,722656,350778,409377,-1,-1,-1,854884,-1,-1,366385,798924,-1,-1,-1,363665,-1,-1,-1,784950,762012,90584,422173,542956,238180,998688,-1,-1,693046,184057,171714,-1,997558,999325,780344,-1,-1,-1,-1,627043,-1,-1,286377,300726,-1,-1,-1,-1,196132,-1,823539,231262,-1,-1,-1,743711,-1,628859,-1,800951,152719,203803,-1,601186,880964,390157,-1,49207,-1,505977,-1,-1,566371,851894,-1,-1,45607,167758,-1,498288,666634,510463,-1,-1,975422,720332,843155,-1,205970,-1,231766,-1,782864,96920,-1,85719,-1,-1,-1,148428,737834,905593,-1,-1,-1,271001,404537,-1,-1,904505,951222,544555,-1,-1,-1,-1,-1,863906,-1,-1,570349,-1,-1,349419,-1,-1,403552,-1,478358,774568,382517,-1,276859,17706,205161,-1,-1,525283,618401,-1,-1,993355,30129,276867,164959,956881,-1,-1,-1,-1,523357,-1,348617,710249,-1,213286,962670,-1,-1,212619,925177,324878,-1,-1,-1,698259,352778,3215,-1,895955,810031,164038,-1,-1,-1,208385,-1,-1,99392,658715,-1,796774,-1,-1,-1,-1,-1,659080,-1,-1,864364,-1,881469,-1,663508,-1,20204,-1,11066,-1,-1,-1,730688,-1,609224,-1,-1,-1,-1,-1,-1,-1,-1,-1,898553,-1,-1,14427,-1,161939,-1,-1,691819,-1,-1,-1,178986,-1,-1,-1,-1,100870,-1,493674,272384,50046,930542,592513,737642,-1,350599,641684,-1,-1,201654,76662,-1,-1,-1,289074,51312,-1,984933,692983,891784,263262,-1,124262,-1,106891,296903,775036,715068,724480,-1,205320,843619,-1,-1,-1,-1,458299,907579,-1,-1,-1,413060,258788,-1,-1,-1,233231,689209,998801,921540,106260,52687,-1,-1,476149,195688,594513,-1,561453,-1,888573,56801,-1,-1,256553,502099,-1,458208,435624,-1,-1,-1,77108,-1,61972,-1,882892,910471,-1,-1,-1,-1,-1,504084,987170,-1,552704,316458,913342,728347,453662,-1,680113,118667,686852,443589,-1,418123,313141,-1,-1,389409,335987,-1,-1,-1,797847,-1,523303,174252,17718,-1,-1,-1,585953,-1,210856,235122,-1,945128,-1,-1,-1,-1,-1,-1,416261,-1,-1,-1,-1,-1,-1,-1,406248,-1,321236,-1,52219,-1,523044,696536,-1,374078,859318,-1,-1,94699,-1,-1,338224,-1,669105,251003,760465,758158,-1,-1,909395,-1,393619,-1,42652,-1,-1,398611,-1,657605,-1,252020,-1,-1,-1,275472,-1,335478,26306,-1,-1,616486,199670,266151,-1,-1,-1,455128,-1,-1,-1,68317,-1,-1,-1,-1,627197,424549,-1,3440,482974,507974,-1,849370,-1,-1,-1,897805,271996,546823,-1,-1,-1,357924,-1,373575,890023,-1,407102,834222,-1,200877,119547,500727,814994,-1,868720,-1,-1,161674,54848,277556,377584,226042,688524,-1,-1,117462,-1,363272,-1,131785,388744,663162,258790,960751,-1,340847,-1,48677,-1,469532,859954,315348,-1,640231,151317,-1,-1,-1,-1,783797,-1,11519,-1,759388,107685,48035,489814,-1,562665,971566,-1,663189,967860,281183,-1,-1,879901,-1,-1,730456,551836,-1,-1,-1,608056,751153,-1,728403,148319,939183,-1,-1,-1,126013,-1,-1,960486,-1,-1,-1,374699,-1,-1,-1,-1,-1,-1,-1,937605,-1,-1,-1,115393,-1,921386,-1,-1,270930,430590,-1,865003,957734,-1,-1,-1,38652,-1,462,949009,290527,857901,-1,506176,323582,302337,-1,250902,-1,-1,-1,-1,249082,262231,677176,187555,-1,183022,-1,502295,301296,-1,-1,29634,-1,-1,919091,439703,570292,-1,540940,602937,865017,-1,-1,-1,-1,956695,-1,-1,-1,-1,-1,-1,944447,-1,-1,-1,999545,-1,264906,-1,934751,-1,-1,683739,-1,611158,3670,-1,55368,-1,-1,-1,-1,823275,260651,673008,852692,-1,-1,-1,827500,672356,-1,902290,-1,429230,715843,449784,723764,-1,31491,-1,-1,197261,-1,-1,-1,-1,116610,155508,17569,-1,639977,-1,-1,-1,717465,46788,-1,53750,720613,-1,-1,-1,-1,-1,-1,157681,-1,-1,-1,301261,-1,51985,-1,-1,517101,330800,-1,-1,355033,-1,-1,-1,912866,-1,-1,780885,-1,42288,571941,154509,-1,392207,414831,-1,-1,405145,-1,85712,150042,-1,769140,874986,265493,495057,393170,239993,634265,99327,-1,-1,371819,134409,79496,302831,-1,-1,854298,-1,-1,-1,965410,913602,422244,375708,919766,-1,92644,-1,648141,-1,-1,342357,396759,691895,297368,-1,460430,-1,-1,900560,-1,-1,-1,354811,-1,870170,-1,-1,461875,-1,303511,788874,-1,980144,-1,603196,125314,169608,298627,-1,-1,816584,119445,-1,-1,636067,-1,-1,-1,-1,416902,138610,843111,-1,67891,23949,598513,-1,-1,946833,223657,-1,653789,987496,261684,-1,570151,753128,455092,255654,-1,-1,-1,363744,336557,146313,395186,-1,985098,-1,-1,-1,668320,764275,538621,-1,-1,463711,276038,563386,637498,-1,623610,-1,968617,-1,-1,-1,69826,-1,457383,-1,890945,-1,-1,-1,-1,265994,584894,534319,145103,-1,394158,603702,-1,-1,138691,-1,831408,92875,577110,637807,-1,-1,-1,899343,130521,-1,139687,-1,903018,-1,-1,368205,-1,617412,-1,-1,-1,148092,-1,982463,-1,391538,37361,-1,742285,20666,-1,966604,544621,-1,-1,-1,406894,-1,254845,234748,833536,-1,871571,149931,794676,242423,291430,-1,-1,348704,-1,-1,-1,-1,-1,342421,-1,237727,550909,-1,-1,-1,754652,392283,-1,-1,440564,-1,27194,-1,425438,-1,-1,-1,343886,471378,-1,563667,450725,-1,-1,420214,615931,894532,770203,-1,394001,135569,-1,27640,-1,997510,773071,865346,-1,428147,-1,-1,-1,74260,881396,864913,-1,-1,284202,-1,784211,-1,-1,40620,324424,236021,-1,787217,787285,576288,-1,979827,192608,-1,671325,-1,-1,427776,-1,-1,-1,-1,-1,-1,671524,-1,-1,221144,69829,-1,647196,-1,-1,-1,-1,-1,735270,-1,679409,-1,-1,-1,-1,22128,197311,930464,-1,-1,-1,632691,-1,379768,223632,-1,692645,889196,-1,-1,-1,-1,927471,23462,-1,-1,-1,-1,-1,280171,-1,-1,-1,-1,826377,94860,-1,-1,-1,-1,-1,647141,7352,403190,-1,-1,-1,-1,984787,-1,632931,-1,-1,294681,-1,-1,-1,-1,-1,387249,702553,755554,450617,173681,958003,577399,-1,-1,-1,-1,826834,785077,-1,-1,389788,22479,935025,284143,-1,482730,504972,-1,177826,-1,144884,-1,642907,-1,122393,-1,998247,568893,-1,-1,788925,-1,-1,-1,257053,-1,507014,111614,718760,-1,644050,-1,-1,690356,-1,-1,-1,-1,-1,474697,756668,909714,410894,-1,-1,566080,-1,661430,-1,46762,292156,963521,24016,410684,69092,48460,-1,286197,-1,932072,-1,431499,-1,39118,-1,-1,-1,-1,-1,116317,-1,-1,461118,274895,-1,-1,-1,387344,539896,-1,-1,-1,-1,214481,32472,-1,-1,-1,-1,757739,-1,-1,300194,-1,805619,666036,389053,751274,-1,-1,288261,-1,875694,-1,-1,-1,895276,1386,-1,594431,-1,-1,400728,-1,781817,91876,-1,-1,810229,-1,946895,316442,996635,-1,-1,-1,488817,417269,-1,-1,158773,675578,-1,-1,-1,120455,-1,21638,339483,-1,-1,-1,-1,-1,382265,56473,256267,184093,131105,457850,-1,372887,-1,620789,471806,470073,749233,-1,-1,-1,-1,-1,226430,926959,-1,295184,338407,-1,-1,-1,285012,710900,-1,-1,-1,848952,-1,630458,105949,-1,321561,996853,372107,563555,-1,-1,-1,562005,317222,-1,-1,-1,-1,716079,-1,-1,-1,357943,-1,-1,-1,-1,-1,284691,-1,402894,846924,221037,971396,255587,-1,460905,230250,758393,-1,-1,-1,552873,251215,978840,-1,518789,-1,-1,599978,529267,734151,-1,-1,-1,755451,985978,303494,-1,158995,-1,-1,939973,-1,-1,944021,323774,-1,-1,521509,719446,118086,299252,288548,-1,483420,-1,218314,-1,644678,729465,-1,807675,299801,208581,-1,713947,-1,-1,154872,893858,-1,884183,353015,423954,-1,-1,483858,885969,52872,-1,94786,-1,-1,-1,145974,212366,704709,17722,-1,-1,-1,-1,325528,-1,52521,-1,-1,-1,-1,-1,-1,-1,614566,776611,-1,247838,755091,-1,943469,491356,-1,616267,162810,629005,-1,-1,-1,-1,852893,762448,683461,790873,-1,403824,179349,426168,-1,642016,368545,372491,430617,375635,719168,-1,-1,-1,536062,-1,804209,-1,929060,399795,-1,924504,577751,174907,110331,550973,-1,156697,-1,-1,-1,-1,188745,471587,444274,-1,-1,294977,785830,-1,-1,-1,188795,-1,20212,712386,228018,70234,11239,16853,-1,738038,373658,204999,-1,703733,83772,-1,35756,681331,931437,858760,-1,978207,-1,342248,-1,-1,-1,989276,575702,-1,291569,-1,116563,-1,-1,408171,174041,639989,-1,163164,930177,881919,172224,-1,76905,-1,84038,-1,992946,-1,-1,361569,-1,372957,614654,-1,983384,676883,-1,-1,-1,-1,173793,-1,221560,481869,-1,-1,-1,-1,-1,-1,385210,-1,-1,-1,-1,686867,425524,-1,356768,110625,-1,577552,626323,531149,578463,756633,-1,778413,-1,815223,-1,-1,-1,-1,151660,-1,125501,943015,702362,633787,817181,288872,-1,430207,-1,-1,-1,14045,-1,-1,533649,-1,957002,-1,822797,510983,927961,80794,-1,-1,-1,297287,-1,156564,88006,799215,825961,-1,6050,213930,69234,784519,464162,740539,-1,-1,184564,-1,675491,-1,-1,305074,-1,951373,-1,636135,-1,-1,536457,697046,-1,785585,945204,-1,-1,-1,-1,-1,-1,-1,868624,120596,-1,238764,971681,546289,-1,-1,910451,-1,-1,305335,-1,303598,-1,-1,691722,-1,-1,438143,-1,310546,-1,-1,598148,-1,808772,-1,-1,-1,452858,269156,164193,161776,-1,928967,-1,788414,937289,-1,561912,6180,-1,-1,177803,405618,644956,-1,-1,-1,-1,3908,964905,102364,369180,-1,354108,788359,550501,444900,-1,-1,-1,332188,-1,980381,-1,142567,238982,902805,345012,771603,-1,445142,908745,-1,-1,-1,-1,-1,-1,-1,568758,-1,-1,-1,169114,507849,962146,-1,278123,660654,360918,-1,912869,786484,339921,184236,585136,-1,887707,707621,-1,-1,-1,466308,-1,-1,361900,971212,-1,-1,684215,-1,-1,-1,-1,-1,708652,679070,-1,61618,-1,319766,-1,-1,406318,-1,456041,-1,-1,-1,207707,690087,333639,296136,-1,-1,-1,-1,588763,934203,725175,-1,715026,297539,685413,-1,671413,737901,-1,-1,-1,799907,-1,-1,856036,-1,806582,683107,731157,812308,-1,963768,125920,-1,-1,-1,962849,357787,228467,-1,483213,904436,333586,-1,-1,63854,-1,954490,-1,-1,-1,-1,-1,-1,-1,996707,-1,36168,131813,639614,-1,-1,505771,74333,-1,75543,723776,-1,-1,-1,655789,-1,-1,757163,-1,463771,-1,129199,87615,549692,-1,992642,-1,-1,-1,82873,56765,-1,888281,-1,431403,-1,637397,-1,-1,-1,-1,268714,-1,-1,-1,876737,342561,883616,-1,326952,276134,-1,636010,262096,130351,-1,532874,38492,383709,275873,-1,340339,981590,446251,615141,-1,612123,-1,668119,-1,173064,750563,-1,614441,-1,-1,-1,566305,945574,550720,394798,-1,-1,374083,-1,646449,664123,626542,-1,-1,-1,-1,662987,-1,388339,-1,-1,466768,470458,-1,-1,-1,255382,-1,838665,549724,-1,464437,504374,612532,-1,-1,697778,-1,44754,-1,342811,44882,-1,371241,435598,380212,167862,-1,216112,335361,-1,-1,990169,-1,-1,-1,-1,127866,-1,930843,733615,524532,-1,-1,188800,699723,-1,-1,799648,127568,175003,-1,327407,812579,473565,964656,687756,-1,220431,-1,463429,-1,599093,894262,949522,-1,680811,504894,325684,975606,842558,857857,296494,733167,344173,357684,-1,953917,-1,-1,-1,-1,357273,-1,510059,-1,750920,-1,-1,-1,10764,-1,-1,-1,567587,-1,658896,-1,-1,587935,-1,482825,962224,734360,-1,-1,761591,-1,-1,31391,-1,65854,942061,930705,813143,966576,538659,-1,132095,305320,-1,-1,518417,-1,-1,728275,872818,-1,-1,688625,86877,-1,465039,989195,-1,-1,92222,-1,-1,563001,899378,844166,-1,168688,-1,344579,948120,745541,-1,976597,304265,-1,-1,-1,382711,44676,711425,38150,-1,371759,-1,327282,-1,-1,-1,517972,-1,-1,-1,20838,367529,-1,175601,-1,760062,-1,-1,-1,554663,526589,-1,9925,-1,-1,944619,-1,379857,-1,-1,-1,140258,822756,-1,370826,116625,56896,45621,114725,380757,-1,-1,-1,506729,604439,-1,111088,-1,-1,982368,545670,-1,605909,606269,-1,-1,-1,877885,811949,-1,-1,-1,-1,847943,325009,321240,935316,-1,-1,-1,-1,677157,-1,-1,-1,706059,-1,-1,-1,301585,247354,-1,-1,377012,7852,-1,27010,-1,833892,194020,-1,630366,-1,-1,863698,-1,-1,111754,493693,299669,54227,791060,397358,-1,370991,-1,243230,-1,-1,-1,-1,-1,994041,-1,405373,119228,744657,-1,827032,-1,813513,171312,-1,-1,-1,-1,-1,354640,-1,-1,-1,419983,168903,-1,911118,-1,306310,-1,133882,44353,-1,277301,370040,442244,757762,23617,-1,934648,-1,-1,-1,794610,-1,756005,-1,653397,-1,-1,130211,-1,459011,136663,443931,670542,929652,-1,-1,481354,186728,-1,197612,69323,-1,781393,-1,475873,775543,266841,922745,357332,608301,-1,-1,691318,188594,778960,266321,-1,-1,449925,-1,950779,-1,-1,-1,569033,213414,-1,-1,-1,-1,-1,-1,-1,-1,915318,478650,-1,-1,-1,496816,-1,-1,201041,-1,-1,-1,190235,855445,463356,-1,-1,348237,640131,-1,706489,83896,-1,-1,-1,983704,-1,539609,-1,-1,-1,-1,-1,36843,124144,-1,-1,975276,-1,-1,895521,96928,283051,196621,347470,264053,-1,-1,108231,422214,825354,363700,-1,313289,844067,-1,164916,40801,-1,-1,363315,-1,874498,400410,-1,943493,749104,648511,-1,105198,370907,682290,735919,-1,-1,238304,202257,-1,767692,465964,-1,443459,234474,-1,-1,-1,-1,-1,848667,587358,-1,47938,831410,563197,-1,671744,964046,-1,-1,623672,646287,-1,-1,232176,-1,-1,147038,-1,660837,734958,441,-1,646574,-1,-1,474935,909818,-1,514899,111035,-1,424036,-1,-1,-1,-1,270553,-1,230827,827795,807344,-1,-1,882698,332764,-1,-1,821344,656975,-1,873692,328655,731184,277058,-1,-1,986749,957333,-1,-1,193480,226623,-1,-1,-1,-1,907639,-1,-1,28797,-1,777870,671043,336581,929409,344499,676146,54376,959813,13418,646213,-1,702967,-1,755581,-1,-1,551362,-1,-1,-1,683357,-1,480683,915949,-1,988120,998769,247028,-1,-1,898164,999584,-1,735445,158828,-1,846954,228845,227554,490377,500499,-1,-1,-1,-1,209415,-1,526944,612005,416739,571249,-1,480299,-1,-1,712262,119090,543624,-1,791461,830038,25527,505764,555832,628001,-1,-1,-1,562066,269817,-1,353670,142518,134716,508824,770839,99720,-1,-1,309572,666021,-1,-1,-1,378683,664399,-1,-1,293458,-1,-1,-1,525150,-1,512668,539371,-1,284824,-1,-1,-1,-1,-1,-1,64286,-1,-1,-1,-1,642327,678749,-1,-1,784998,120154,121749,-1,-1,877618,-1,256668,-1,-1,-1,378729,-1,-1,450560,47558,-1,-1,-1,-1,-1,298713,623011,-1,-1,164740,858970,-1,217591,-1,-1,385001,597463,437836,-1,-1,-1,-1,-1,-1,725167,469297,282653,-1,-1,681003,-1,787320,-1,673605,562256,-1,495821,-1,-1,-1,-1,-1,246267,206218,-1,-1,-1,478977,49684,-1,-1,110258,381443,892783,363476,-1,-1,-1,-1,609154,274940,-1,336843,-1,503644,468149,-1,416321,211144,795930,-1,763628,-1,-1,436476,-1,-1,-1,241582,-1,-1,974871,544049,576375,-1,-1,112094,718513,58501,-1,924146,-1,154204,-1,432476,-1,535264,-1,780835,-1,213141,-1,-1,-1,312287,873053,952537,165018,-1,-1,-1,-1,-1,338139,528065,372191,92717,979417,-1,660076,-1,100062,445223,784462,-1,281604,293033,-1,764588,200192,-1,-1,286841,-1,823003,-1,585915,-1,-1,619348,263028,-1,824184,-1,-1,529268,224581,124685,-1,922551,-1,-1,-1,324517,880739,-1,489616,-1,-1,-1,606832,-1,37311,840002,236250,-1,-1,-1,309240,-1,-1,-1,-1,-1,746803,-1,663695,-1,936178,-1,-1,887694,-1,130961,-1,794645,338940,-1,-1,-1,846324,475867,910080,-1,754281,-1,314228,575497,408347,-1,-1,5819,294013,-1,-1,515520,508709,-1,811814,-1,-1,530562,789377,-1,-1,-1,-1,101430,-1,-1,-1,-1,560445,863145,-1,-1,641988,449811,194983,-1,-1,266806,-1,419433,5042,-1,210542,-1,927107,-1,-1,25840,-1,-1,-1,-1,439297,294826,-1,431809,284019,493136,-1,696259,992458,193146,-1,-1,864995,643685,-1,378997,-1,240555,980015,770645,-1,859814,884426,994425,-1,250278,-1,-1,-1,562149,865769,443911,973124,-1,145305,-1,-1,-1,380834,-1,-1,-1,-1,-1,-1,35270,956974,312225,451076,795243,288106,-1,434450,-1,-1,-1,-1,-1,-1,-1,-1,885812,373966,-1,-1,-1,231965,-1,-1,-1,-1,386522,639782,-1,684974,77217,223911,802362,-1,-1,754363,599562,-1,52474,-1,179339,504143,572132,433634,269588,389527,-1,868688,580803,-1,43864,-1,287711,-1,185400,213171,744580,-1,31719,946748,-1,-1,-1,-1,-1,-1,601997,-1,514078,-1,804722,-1,300991,342758,257585,827509,728770,741061,-1,387985,433372,391548,-1,948179,644777,-1,486831,874375,634053,140213,532437,-1,-1,-1,-1,56843,-1,-1,-1,103499,531201,-1,-1,-1,588862,-1,-1,-1,247269,-1,-1,803099,-1,-1,947600,-1,-1,-1,225194,-1,-1,-1,-1,-1,-1,-1,-1,545765,-1,596822,-1,-1,45104,760455,-1,-1,-1,-1,-1,-1,173641,-1,-1,965283,603415,455641,811220,153856,-1,649245,-1,112007,-1,-1,-1,-1,-1,813641,-1,737562,840050,646967,-1,313824,197779,96858,216240,808350,-1,-1,731221,319940,465925,-1,619347,17705,-1,-1,-1,-1,316496,241660,-1,917817,-1,-1,-1,593880,948185,52460,-1,-1,318373,909302,59581,-1,-1,-1,-1,-1,284064,927643,-1,-1,371916,393437,-1,-1,-1,-1,-1,-1,627163,213676,542552,-1,863501,-1,174107,118552,90820,-1,-1,98001,-1,-1,340438,26138,-1,761032,959173,-1,275173,114364,-1,714251,903731,-1,-1,5312,548080,-1,704482,-1,-1,217117,420865,51540,-1,736061,40404,346875,-1,-1,-1,-1,186192,-1,-1,-1,432323,7710,-1,-1,352531,324032,-1,762099,-1,-1,596928,-1,-1,-1,407883,821762,851886,966125,2015,694860,683990,-1,-1,-1,639136,-1,-1,615102,-1,-1,474148,-1,-1,-1,-1,-1,-1,501879,-1,-1,83508,113560,-1,-1,-1,660814,-1,523400,-1,-1,-1,221258,792486,-1,-1,-1,394188,-1,-1,33603,-1,683011,134725,754424,254657,-1,-1,-1,681096,806403,405658,-1,-1,38672,-1,541125,-1,575464,274223,-1,977043,-1,-1,228865,484341,-1,974525,-1,144403,-1,761874,301918,-1,452347,-1,-1,-1,-1,-1,102611,59882,-1,-1,-1,-1,735281,847326,425856,726507,383275,-1,301259,-1,621925,796222,965175,659092,334066,-1,-1,-1,828620,-1,145930,840921,90748,915737,363753,296562,578150,920316,-1,799045,443218,723691,-1,-1,-1,154010,650485,882195,495572,522916,41250,602800,280261,-1,-1,-1,25006,764557,-1,645933,679785,-1,774959,368701,-1,-1,433893,469597,847884,-1,247374,725132,282649,-1,-1,-1,-1,-1,-1,-1,-1,636530,564235,819041,334964,991789,282833,-1,-1,-1,278164,430139,603427,558493,282260,349150,-1,-1,257013,607486,165638,-1,-1,883069,741169,445158,-1,123864,954864,370537,-1,-1,602375,565512,-1,-1,-1,-1,-1,768048,-1,849584,433421,324195,963684,612659,-1,348109,907293,-1,-1,-1,-1,-1,163634,643923,544089,-1,-1,-1,-1,220990,109909,283018,-1,272318,-1,-1,825903,-1,-1,246165,879906,-1,343697,-1,481472,360723,-1,615222,-1,-1,-1,353318,940874,519560,954770,-1,233649,805828,253281,598264,72120,-1,-1,-1,-1,-1,-1,566149,601779,921933,-1,1519,-1,-1,-1,404912,552499,977801,-1,438499,-1,-1,578877,-1,346008,226399,-1,-1,-1,-1,77413,-1,-1,-1,-1,542328,493834,847951,-1,923335,280519,-1,-1,395228,-1,-1,-1,-1,306403,628120,356553,53176,658964,-1,-1,-1,500224,-1,-1,-1,902021,-1,434948,-1,-1,139063,-1,45875,407642,119669,-1,-1,-1,716266,337385,716467,800652,-1,690371,11226,569290,-1,-1,-1,492318,98665,-1,-1,727622,384475,996292,-1,956684,745075,124392,-1,266161,-1,-1,-1,190736,-1,-1,-1,983512,-1,741657,-1,333618,-1,821399,116515,-1,-1,643347,733792,-1,-1,-1,810341,219009,-1,-1,-1,90906,961562,-1,-1,732181,-1,-1,-1,774973,506164,374206,86844,-1,209148,-1,-1,830538,606624,615317,-1,-1,531216,-1,570491,715032,978513,221848,707379,26851,-1,101140,750838,-1,181870,-1,-1,500742,-1,593357,-1,-1,941096,-1,787386,-1,-1,885716,86426,97935,171344,863697,-1,-1,576885,-1,-1,-1,-1,-1,670671,-1,-1,-1,498396,-1,-1,-1,-1,432453,-1,-1,801251,-1,-1,184970,411932,105150,-1,-1,487700,-1,358486,-1,649704,-1,345138,-1,-1,-1,-1,-1,887696,485961,-1,495871,-1,720701,-1,-1,401263,-1,981820,230989,816273,-1,-1,462401,-1,-1,15609,-1,-1,95608,744906,-1,926426,-1,986214,244548,-1,-1,-1,-1,-1,-1,-1,621814,106833,-1,161043,785445,-1,-1,-1,523837,-1,-1,-1,-1,895458,40007,-1,-1,126259,230525,-1,897696,-1,-1,130133,755579,-1,-1,-1,638196,534790,405746,-1,-1,-1,-1,-1,-1,394417,-1,-1,363517,-1,94445,813559,-1,-1,-1,958634,-1,107656,-1,287358,17730,-1,-1,457609,825498,-1,-1,-1,-1,361155,839934,374041,-1,194000,505378,242572,638666,-1,-1,291526,-1,281186,551023,617795,-1,-1,735188,112525,813301,503743,741068,-1,888791,15422,873613,-1,105134,-1,131016,464477,723550,-1,641285,-1,406285,718312,309707,-1,758431,-1,-1,-1,188531,139471,800400,-1,178463,752710,-1,-1,51721,-1,49337,-1,-1,927018,333757,273649,150844,-1,509597,500734,282524,775523,686754,-1,-1,-1,-1,-1,522587,-1,-1,-1,-1,-1,568695,244444,210704,104848,-1,655302,971647,-1,205087,-1,-1,117195,-1,948632,-1,-1,118608,-1,-1,123443,694205,-1,-1,691070,-1,407851,87818,761282,651141,404165,-1,-1,648308,-1,-1,867376,-1,-1,145499,-1,-1,-1,35166,-1,252610,408766,-1,459296,-1,-1,-1,535382,174608,174193,-1,-1,327023,502909,638788,777985,459354,-1,350346,620928,186577,510328,707047,-1,283187,-1,-1,109458,-1,-1,-1,-1,-1,-1,706426,-1,-1,-1,362319,662957,-1,20137,507702,-1,-1,670554,843564,-1,-1,-1,-1,-1,222475,594908,-1,246475,-1,-1,783279,919054,2479,-1,-1,-1,-1,682233,-1,252118,-1,-1,323662,982774,895349,58516,-1,510563,-1,978489,-1,-1,-1,110418,558054,812479,420123,584452,469063,12770,144703,607818,79724,725559,695340,-1,258846,252570,160247,-1,82407,128585,878418,-1,104194,-1,148080,51043,-1,539174,371585,-1,-1,78714,386230,535498,918853,815812,551425,-1,161131,173121,805111,-1,833834,-1,-1,-1,-1,-1,75343,128634,157272,470443,525009,728378,322610,-1,-1,-1,105235,-1,-1,-1,-1,-1,723602,-1,501100,-1,-1,892515,-1,934935,-1,716293,-1,982183,-1,329402,-1,225495,-1,308444,-1,-1,147526,-1,-1,952362,-1,984575,-1,883225,-1,-1,128998,558075,-1,-1,674161,795329,845622,659789,145573,-1,-1,-1,43208,-1,793778,-1,888914,-1,-1,348712,398796,-1,-1,924479,-1,-1,416542,50020,-1,-1,519513,-1,-1,853245,-1,-1,-1,13674,744288,62188,-1,994910,-1,574498,787326,-1,-1,637748,622116,-1,-1,-1,-1,195796,861993,-1,881587,139773,53905,844333,26609,129827,-1,-1,420368,523632,-1,441413,-1,626708,-1,-1,18206,269217,12396,793197,-1,267431,274494,-1,-1,558370,-1,-1,-1,-1,-1,-1,-1,885193,-1,336634,-1,104994,-1,835585,82599,809861,928414,992032,-1,900180,861971,-1,417427,286155,-1,283158,-1,146566,-1,534249,-1,335903,302626,-1,-1,-1,-1,306337,-1,-1,-1,-1,-1,804080,-1,215409,516455,227174,-1,-1,-1,-1,-1,818720,894943,407745,897314,877092,885454,-1,149703,-1,-1,-1,-1,807654,888898,45525,796156,685441,495736,773991,649172,178241,-1,10930,-1,-1,-1,651348,-1,-1,9883,788866,-1,119976,719699,-1,401750,471641,-1,-1,436540,-1,910042,535114,-1,-1,590704,761608,-1,327373,-1,552485,-1,-1,157712,-1,-1,416123,-1,-1,-1,373806,790150,176870,-1,-1,102471,-1,-1,-1,648957,-1,-1,-1,-1,323893,-1,-1,-1,-1,425201,-1,-1,669962,319810,-1,-1,533613,-1,-1,971461,701460,887199,794372,83577,-1,-1,-1,183777,517791,947989,-1,892443,558660,704429,-1,-1,-1,816639,779983,-1,381091,964414,93295,-1,-1,-1,-1,25583,76314,-1,452980,293638,968018,-1,-1,407239,829095,354889,-1,-1,134542,-1,772086,-1,571680,892620,868363,120910,580509,-1,-1,720276,-1,-1,-1,660754,-1,3442,585541,-1,514503,174189,-1,-1,471972,-1,380876,278279,-1,137841,-1,-1,514447,-1,-1,-1,-1,-1,-1,-1,-1,-1,991347,-1,80259,-1,531032,-1,-1,-1,688202,-1,-1,-1,-1,-1,-1,118230,647447,-1,80850,-1,-1,867253,640814,929552,-1,918747,-1,86011,-1,-1,-1,234230,-1,-1,994165,467669,-1,-1,-1,732141,-1,-1,-1,-1,-1,-1,710136,-1,856172,-1,-1,765637,-1,-1,-1,699062,-1,281238,-1,-1,387022,-1,-1,-1,-1,-1,-1,182733,437028,154793,-1,-1,-1,-1,-1,586443,-1,-1,-1,975496,809327,738385,954639,-1,-1,353748,899563,912617,412751,-1,101266,-1,887370,-1,-1,-1,507008,-1,73563,-1,-1,488558,-1,-1,-1,-1,772990,990173,388494,-1,81578,-1,904038,-1,-1,62540,353581,196750,-1,669992,-1,656699,843445,-1,-1,748829,-1,680912,493554,-1,-1,868421,-1,897283,69143,-1,394745,300979,-1,-1,274103,-1,-1,679513,268160,610324,85798,-1,756003,414474,-1,-1,-1,-1,339722,973796,-1,894435,-1,-1,782747,520591,-1,173456,902028,788602,72158,-1,-1,-1,-1,-1,510641,117260,-1,674574,522622,696685,642859,-1,-1,482929,-1,250650,-1,-1,-1,-1,-1,275843,922243,744489,-1,911120,-1,999243,83355,379437,824475,-1,-1,-1,533076,165782,466738,-1,912241,-1,-1,766040,110964,-1,651087,345281,655215,-1,-1,-1,-1,75311,-1,983996,276381,337119,-1,954690,-1,443688,944608,2884,930765,335648,-1,-1,-1,451727,459470,824115,895626,-1,-1,-1,138052,-1,559423,-1,-1,29941,-1,-1,59687,-1,-1,407364,-1,-1,-1,597572,-1,869258,845955,-1,-1,-1,-1,638387,11514,477781,227163,739893,585889,-1,-1,-1,224456,805217,4355,-1,-1,59851,934030,839071,-1,-1,570617,-1,324737,-1,932973,659748,576842,658866,38252,104397,-1,196388,-1,-1,-1,-1,371828,842689,447848,-1,-1,712294,-1,-1,-1,-1,864383,973494,680723,-1,-1,67735,-1,411847,-1,191705,780511,-1,384518,-1,-1,385944,706547,-1,-1,905191,-1,-1,855337,-1,826228,-1,-1,-1,521877,-1,393111,-1,994772,-1,542827,-1,517716,-1,-1,-1,859249,-1,-1,788855,142954,-1,-1,820763,-1,130248,-1,355423,782546,-1,600147,-1,991583,526302,-1,-1,794871,-1,-1,612655,199237,256891,-1,-1,-1,-1,754312,-1,698121,289179,-1,878305,852561,304076,-1,693123,970840,-1,-1,396201,-1,674940,-1,-1,117813,732776,642770,341477,647148,-1,-1,-1,769956,-1,-1,217376,47382,-1,-1,-1,-1,-1,930639,-1,-1,-1,136247,-1,687852,-1,441084,621263,446117,-1,751703,77471,240795,-1,352711,83299,944157,-1,65264,-1,-1,563640,-1,1639,-1,924015,-1,463987,434068,-1,63524,-1,360971,-1,750276,-1,394015,501337,-1,-1,929965,-1,267727,165487,389607,540797,757048,427573,844814,31756,-1,-1,-1,569793,492982,657942,-1,-1,-1,-1,-1,570487,703222,810296,672588,343415,-1,134482,275664,-1,256446,368629,872383,392838,-1,-1,-1,787388,-1,-1,-1,-1,-1,352231,-1,158306,575370,700782,-1,640084,253190,-1,-1,-1,-1,212112,-1,-1,-1,-1,-1,794581,-1,902781,-1,227880,-1,406134,-1,232239,295518,575860,-1,-1,834134,-1,-1,-1,121814,508595,-1,-1,-1,-1,242932,-1,102250,-1,234623,-1,-1,282127,148425,873823,702071,-1,-1,-1,330643,-1,-1,-1,-1,-1,-1,388159,929668,952132,924516,-1,-1,436801,418461,315124,526870,-1,-1,-1,996969,-1,315595,122868,754838,993328,982613,-1,-1,-1,-1,506325,169136,464129,-1,332920,303945,-1,968278,-1,736294,361552,649404,456605,-1,-1,-1,-1,845171,-1,-1,177312,-1,342892,-1,-1,83565,968779,-1,381287,-1,-1,-1,-1,500084,561040,697512,136586,998546,-1,857018,699545,-1,-1,-1,-1,123685,612704,-1,765419,257921,370635,490553,705103,-1,-1,-1,763980,222847,-1,-1,589796,-1,-1,-1,379154,882431,-1,-1,-1,-1,51523,-1,890480,967146,-1,-1,160873,-1,96680,-1,-1,-1,-1,-1,-1,119533,338308,728577,1745,220836,542218,111326,958882,-1,620918,-1,-1,186180,574333,-1,761777,669901,799912,-1,-1,-1,-1,-1,231465,661330,-1,-1,541978,-1,192893,-1,-1,-1,848210,840397,171785,-1,-1,-1,-1,223972,142164,-1,-1,-1,100035,-1,152667,514042,-1,321578,399567,858836,424235,-1,289255,-1,-1,355340,690035,-1,-1,-1,531289,286414,140553,-1,-1,442238,464671,541035,-1,89109,-1,-1,625813,75022,-1,550630,-1,-1,-1,-1,-1,500763,667848,-1,126642,-1,-1,349966,18426,848332,-1,-1,50277,-1,-1,-1,-1,107991,660326,-1,-1,385673,87022,397700,432763,-1,707626,-1,13620,99259,-1,168509,-1,216429,-1,429341,111459,116254,80581,570600,896471,477627,121482,-1,775362,-1,-1,-1,-1,-1,-1,-1,636657,468578,803773,-1,27271,949471,-1,371050,44349,-1,12777,-1,659605,281529,521819,27003,294345,-1,939773,-1,-1,-1,230502,-1,-1,499075,-1,-1,-1,349326,-1,472778,722888,17531,-1,-1,743854,-1,684108,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,356539,-1,614013,235945,513357,-1,166144,-1,-1,755409,966048,278789,633312,374365,297889,-1,396321,884299,755332,308053,299427,-1,927560,17624,709411,982529,532373,-1,850087,-1,391778,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,401436,-1,893842,790940,839405,891731,868026,-1,404166,-1,646715,750738,515321,-1,766212,621879,262094,552086,-1,154348,583382,710041,-1,-1,-1,693371,-1,620636,503019,-1,118676,-1,-1,556762,-1,254957,-1,-1,839358,-1,-1,-1,846089,975162,-1,215771,-1,981965,627735,-1,12899,562592,-1,-1,541187,-1,-1,648032,260832,843316,-1,-1,893184,838191,192726,-1,-1,247102,36820,-1,937379,-1,-1,124309,674888,-1,866261,-1,-1,745565,-1,532405,132097,874902,15967,-1,500970,945852,-1,-1,740074,101265,17854,-1,130944,-1,428165,-1,-1,611587,738342,225224,-1,-1,819444,-1,523374,857227,268553,901631,790367,734685,702372,-1,-1,-1,-1,528693,-1,-1,-1,-1,472684,861030,-1,-1,931298,172243,615022,503637,200081,913597,-1,775861,-1,291044,753851,-1,392274,-1,928819,-1,-1,-1,-1,878056,-1,-1,248788,121298,-1,579035,-1,659090,-1,-1,-1,588188,528584,176208,-1,508560,745680,23907,73733,718956,-1,789312,-1,444176,-1,-1,-1,700805,-1,-1,605155,-1,-1,-1,395916,13525,-1,588771,589467,603109,-1,642864,827784,441319,-1,145319,-1,-1,960866,159033,807909,-1,922088,104513,43860,-1,-1,-1,-1,916739,-1,915042,-1,631515,429953,-1,-1,-1,166001,-1,-1,802082,585708,-1,-1,-1,611573,-1,703319,428388,-1,942228,-1,-1,792344,-1,241125,-1,804903,-1,-1,-1,-1,130731,-1,-1,-1,-1,417398,-1,833506,-1,571278,-1,569465,85340,436515,-1,-1,203560,895737,-1,798073,543360,-1,-1,276064,760482,857968,917544,-1,-1,318452,-1,42183,-1,-1,-1,-1,-1,284299,-1,-1,168414,823513,-1,951918,-1,-1,-1,-1,-1,632232,-1,20524,-1,-1,-1,-1,729330,-1,-1,806142,-1,718718,-1,-1,-1,-1,-1,651207,82601,485156,-1,796287,820447,-1,-1,-1,164025,123815,-1,-1,373749,-1,849748,-1,803900,666783,-1,707930,-1,680820,667854,-1,742054,-1,-1,932585,322231,-1,-1,-1,-1,755278,-1,680085,-1,120482,759550,130838,769556,-1,963165,903842,463346,983623,967435,247930,408761,265226,-1,240075,456706,-1,57757,-1,386708,654940,255188,-1,835115,594872,-1,-1,101124,-1,595639,180134,717473,182317,853027,-1,-1,769334,-1,-1,420806,10441,-1,-1,-1,839529,108550,-1,638492,-1,94155,740458,117201,-1,742127,-1,-1,-1,-1,-1,-1,6321,411515,117762,941156,623495,-1,387237,758643,-1,852875,677249,529787,38441,-1,-1,735008,-1,-1,987145,858703,-1,-1,-1,-1,-1,-1,-1,607988,-1,976759,-1,438802,-1,532165,-1,-1,80425,651279,185793,510798,-1,119418,359953,-1,-1,15058,-1,631170,126841,59467,621364,913603,-1,-1,-1,-1,522472,-1,852900,849829,465125,-1,331927,475837,-1,103946,-1,-1,-1,-1,-1,-1,-1,-1,665665,843209,382237,79082,950284,216867,905614,-1,-1,-1,-1,683486,-1,89952,-1,-1,619706,294766,833492,-1,-1,233679,462051,-1,-1,113475,648728,-1,-1,744595,-1,-1,-1,518956,233011,-1,-1,344053,272357,774459,75045,489916,-1,789228,464352,37134,-1,-1,-1,851178,857518,222445,852141,317225,487192,705415,-1,25832,-1,-1,145197,398783,-1,109520,-1,-1,-1,382094,615370,-1,537894,669587,-1,897200,-1,141858,571937,45990,561796,70942,-1,-1,-1,-1,183603,-1,928131,-1,232256,-1,-1,-1,-1,-1,748248,73697,-1,666919,445882,321670,-1,974822,-1,-1,781386,927988,856233,991602,154041,959444,183392,536949,995055,-1,538682,-1,212577,-1,624626,-1,435543,-1,496324,-1,-1,440809,-1,685061,-1,-1,694045,854262,961286,191629,832459,-1,539322,-1,251494,-1,828478,-1,787547,-1,-1,165716,-1,-1,-1,613632,146363,872113,-1,-1,-1,924188,-1,317397,-1,-1,-1,-1,-1,-1,472153,640780,-1,-1,-1,924435,-1,581940,932328,-1,2402,566504,-1,-1,-1,-1,-1,-1,144853,-1,913445,904082,-1,-1,-1,-1,-1,852411,465407,-1,-1,-1,-1,974710,906269,-1,-1,916817,1706,357890,-1,-1,863969,-1,-1,853943,-1,-1,-1,-1,868546,592096,-1,-1,726455,-1,-1,503461,944505,792729,-1,675890,180928,729844,462015,562618,467293,227347,714934,-1,-1,-1,-1,420303,457745,779931,-1,-1,182508,-1,-1,669627,703813,704487,-1,-1,383443,-1,934975,-1,856087,541114,882167,-1,-1,-1,-1,55737,249083,-1,-1,16512,23075,443115,557644,-1,300277,523689,-1,820214,-1,-1,648343,952498,-1,430190,-1,442882,974391,79836,-1,-1,-1,267308,107778,-1,449677,-1,910218,-1,570059,603013,266235,236668,-1,135575,205179,-1,471812,193898,-1,121870,329181,-1,505429,668026,605756,-1,584353,-1,-1,-1,-1,454882,229786,-1,-1,838888,-1,245369,-1,-1,-1,-1,909273,890517,-1,350285,-1,-1,831346,-1,-1,887189,233650,93668,-1,932511,294431,380177,-1,-1,-1,261007,-1,395037,-1,-1,-1,-1,-1,536821,-1,2619,135885,519038,-1,612557,962433,295605,-1,795609,-1,-1,-1,-1,121522,-1,-1,-1,927114,-1,-1,-1,516482,-1,954997,195362,577323,363162,73418,386189,984269,-1,-1,-1,278648,-1,-1,309756,-1,-1,297839,-1,-1,650958,-1,296390,127987,943386,-1,549790,728199,-1,-1,-1,-1,-1,-1,-1,-1,199361,-1,-1,-1,-1,-1,185098,-1,-1,-1,165319,-1,225545,-1,340150,-1,-1,761288,-1,480040,90619,609593,651240,-1,-1,162100,891244,554550,312576,172859,447362,954556,-1,444451,-1,-1,-1,372882,-1,663296,492576,877902,280306,223481,295126,453507,-1,613988,289384,-1,870658,257564,247941,-1,393914,-1,791363,-1,-1,-1,-1,-1,-1,895366,-1,573211,140006,-1,-1,-1,-1,557447,836052,11123,-1,-1,-1,-1,82061,-1,-1,187890,-1,589645,-1,-1,119363,965417,-1,-1,-1,-1,327442,-1,-1,-1,-1,849127,-1,798393,-1,-1,-1,-1,453381,-1,-1,-1,439856,240144,396226,-1,828597,744792,-1,-1,140943,105787,704249,-1,958883,-1,310026,-1,-1,283963,467058,57386,384997,-1,109562,351015,127356,534656,-1,846545,983586,-1,-1,-1,-1,700068,-1,-1,-1,901514,867519,-1,108158,933043,-1,-1,-1,-1,547445,-1,-1,791822,494751,-1,-1,528765,-1,-1,356366,-1,758522,-1,842823,708400,656623,-1,-1,915374,-1,-1,185215,-1,-1,-1,94742,-1,157084,211632,-1,-1,867095,114482,463678,176141,374543,-1,733263,-1,-1,-1,-1,-1,130852,-1,989868,-1,142315,656727,758227,-1,59184,181951,-1,916634,-1,-1,-1,-1,-1,531296,-1,594896,-1,820470,-1,-1,33415,412257,-1,-1,42139,504448,-1,864011,-1,258134,-1,-1,66,373691,329143,453345,77707,-1,-1,398443,814999,228519,-1,961645,99382,777495,-1,118085,679427,701908,-1,775801,-1,131860,-1,365650,-1,857431,380698,928773,879998,-1,920837,-1,-1,-1,-1,-1,931818,-1,-1,581077,-1,-1,269603,898440,-1,150749,-1,-1,-1,-1,-1,666280,691963,-1,-1,-1,236119,-1,-1,849418,-1,-1,-1,61181,-1,109010,-1,269922,576883,74485,100673,983383,630672,11550,356092,-1,-1,531241,-1,-1,-1,308358,-1,184468,-1,868324,-1,-1,567192,644972,672729,50404,-1,942425,130008,-1,514774,753943,429482,884762,882414,137642,441207,472844,652134,-1,966166,788372,-1,588191,212993,956690,545859,-1,20174,690189,995246,56186,895862,-1,734012,787012,995317,-1,-1,-1,-1,262670,917681,484030,-1,427221,519440,-1,242604,-1,685120,-1,594190,-1,-1,-1,-1,888454,-1,235318,-1,-1,585916,118404,906035,-1,921191,-1,971417,-1,-1,140561,-1,-1,-1,13078,-1,-1,870096,24998,-1,902505,180715,-1,290824,226304,-1,922263,347,-1,515655,-1,19877,-1,667441,-1,-1,-1,-1,-1,210650,329897,78297,277770,972852,848868,645199,-1,978397,-1,158601,533667,914105,918898,-1,-1,761046,-1,-1,531721,180519,600579,-1,919648,340829,-1,-1,-1,-1,-1,174598,951390,-1,298598,-1,-1,-1,334181,859493,-1,765692,-1,414499,-1,-1,509162,-1,740285,428347,393683,436182,365586,408587,287238,872344,699766,287313,-1,904251,-1,158687,5353,892454,-1,-1,-1,632365,-1,59674,127922,-1,-1,403788,-1,988362,-1,-1,149223,680154,104775,232815,824599,830520,-1,-1,392772,754636,-1,-1,-1,210273,-1,435752,-1,967487,709558,713826,-1,-1,146405,216059,270035,-1,-1,266460,98190,450600,773790,-1,168329,722550,658983,130041,-1,-1,384303,-1,875715,-1,484012,-1,-1,-1,972782,-1,-1,-1,512687,829296,288550,-1,-1,-1,344018,-1,-1,847499,-1,-1,993799,-1,895749,-1,814047,-1,909279,-1,-1,-1,739916,154966,-1,391223,783420,763435,34135,-1,-1,907202,-1,438153,-1,-1,338966,528258,-1,57576,-1,990652,-1,930808,917655,-1,987678,334477,54690,798564,987272,-1,367372,-1,-1,-1,-1,-1,827531,740929,-1,-1,-1,308738,909295,301342,607782,-1,-1,985034,369320,-1,-1,-1,-1,839159,-1,102503,-1,-1,301118,-1,540080,151658,-1,-1,343532,992539,58104,251739,616927,-1,-1,534325,-1,422802,120545,-1,-1,613820,-1,918161,-1,-1,863064,-1,-1,-1,598773,-1,789895,163319,633485,997145,803771,633569,-1,785269,135616,-1,-1,263143,-1,279985,689516,-1,988264,-1,-1,-1,473919,286149,-1,696633,-1,-1,797852,549654,-1,-1,945660,33127,-1,835888,179077,-1,-1,-1,54006,692120,114906,-1,-1,-1,-1,-1,-1,-1,-1,309147,-1,162473,-1,-1,908528,907889,-1,-1,-1,530521,979943,138766,899800,521436,929662,99225,178363,-1,-1,215963,940141,-1,568127,96991,595591,569774,159763,-1,-1,-1,682221,655217,961911,-1,-1,-1,227041,-1,-1,-1,741573,927412,759625,-1,-1,-1,-1,-1,-1,448959,-1,-1,394299,227847,-1,-1,-1,221392,-1,643473,352294,-1,-1,-1,-1,-1,619190,-1,-1,-1,850480,-1,251251,-1,-1,946152,-1,781669,-1,-1,-1,-1,854615,765892,-1,771477,-1,364677,-1,-1,-1,-1,427526,776630,-1,-1,-1,304794,715024,939590,642889,218107,97479,-1,-1,-1,-1,-1,715505,-1,548494,102782,-1,-1,540947,461539,687129,492963,-1,-1,-1,883406,-1,-1,-1,-1,289275,-1,-1,711829,812199,288945,505574,-1,-1,481734,-1,803389,213144,135893,-1,229151,950794,455671,-1,-1,-1,676874,-1,983367,186433,999131,433003,954140,699017,324360,-1,785374,765983,-1,251920,-1,514446,-1,783934,560308,-1,-1,-1,239429,-1,-1,136040,-1,602510,-1,678573,433129,4599,7578,-1,243755,335360,140077,-1,894240,-1,-1,-1,-1,-1,-1,167554,768657,104786,-1,-1,-1,273642,111304,-1,247493,809251,-1,-1,419220,-1,-1,-1,710423,-1,126679,-1,-1,465396,-1,-1,-1,369183,-1,215217,-1,392703,-1,-1,-1,-1,13398,597096,251492,-1,490763,490261,515881,-1,157166,790954,-1,886180,-1,3075,761193,419499,179262,41626,718897,281166,-1,-1,163957,-1,-1,-1,991898,706692,-1,-1,-1,-1,43707,-1,-1,157533,-1,488494,591943,864004,-1,-1,-1,668276,310502,421297,-1,842818,696328,110910,-1,65149,283927,311873,529294,-1,-1,-1,-1,-1,941346,68039,-1,-1,204047,-1,244309,451864,-1,676877,874343,475093,660304,612137,-1,-1,-1,-1,-1,-1,-1,-1,658353,-1,-1,748393,-1,-1,-1,-1,612098,605017,-1,-1,-1,-1,812095,718877,194534,672513,638326,-1,-1,851538,418119,146871,837105,-1,-1,163941,-1,-1,218543,684248,813794,-1,862404,-1,847127,-1,-1,320306,92915,-1,782195,-1,-1,-1,-1,613201,-1,273010,-1,-1,785488,-1,947814,-1,-1,193289,22734,688286,-1,585331,17843,886954,503224,260155,686420,-1,-1,-1,-1,-1,-1,-1,-1,658923,592572,101280,-1,235024,-1,-1,79716,197663,-1,-1,352273,569253,610682,538882,-1,-1,-1,-1,-1,-1,928398,-1,-1,-1,-1,786936,367379,181871,590881,986395,990297,-1,686821,240405,420038,85132,-1,-1,-1,-1,-1,-1,225689,300365,371883,322316,-1,-1,350434,773928,-1,-1,818537,-1,665938,-1,-1,42430,760401,231801,-1,218548,-1,-1,138084,-1,278152,884614,-1,795097,-1,-1,-1,-1,-1,-1,-1,906554,-1,919211,-1,944493,947306,566533,934709,807346,882992,662218,926802,-1,-1,-1,93523,309357,373480,-1,385348,-1,-1,722075,817916,-1,366933,-1,258274,437964,106025,377827,717067,176121,490842,321851,-1,309227,488519,-1,536622,-1,641378,576866,-1,686831,-1,-1,669654,240648,939813,-1,72185,-1,-1,365361,-1,-1,669148,743921,138106,901510,228129,297176,-1,-1,-1,37256,40708,-1,-1,700343,568745,-1,-1,410238,-1,-1,-1,-1,-1,178114,966754,905954,-1,534734,-1,846721,766511,863257,-1,-1,-1,117023,-1,797464,913211,445335,-1,199594,829983,-1,-1,-1,957427,-1,239017,754194,255989,740608,568299,225674,-1,423518,-1,-1,-1,-1,274165,-1,-1,-1,-1,-1,-1,495246,220237,-1,-1,-1,447518,92999,-1,-1,-1,995587,537802,-1,-1,-1,245547,-1,556797,-1,75362,201522,712655,359194,-1,920304,649953,544188,669175,524562,262196,727000,-1,-1,466862,-1,894252,-1,693001,314978,-1,299067,-1,30896,478060,-1,964851,-1,579045,220476,-1,-1,347009,-1,453761,-1,960585,429995,-1,570188,174410,-1,-1,293091,-1,793905,-1,797093,27162,-1,209530,-1,-1,-1,689199,318734,505546,-1,389934,-1,883479,-1,-1,631812,-1,432005,910282,4411,487295,560013,933224,750658,-1,-1,-1,513672,-1,347509,-1,879165,392518,-1,304306,-1,523033,829076,19322,-1,-1,589203,760681,-1,-1,976409,809470,-1,480732,-1,376464,-1,393951,-1,326497,-1,402016,-1,-1,-1,857040,-1,-1,-1,122087,273599,-1,-1,610053,842587,-1,-1,-1,64379,-1,-1,860155,-1,557490,-1,410049,-1,-1,-1,452040,70658,-1,-1,276242,707283,-1,-1,-1,578200,-1,860320,-1,-1,-1,-1,-1,885922,311103,543154,-1,642645,-1,835026,808586,346275,922756,-1,-1,-1,-1,510199,-1,766959,-1,143328,909883,881727,-1,277769,381033,529067,436898,-1,39955,-1,-1,224240,954920,-1,396871,557164,-1,-1,-1,715696,430321,-1,710984,921626,176485,673414,-1,-1,920322,880297,-1,527127,168233,-1,-1,298009,-1,640134,-1,664046,993390,-1,244171,536448,-1,133161,-1,353280,-1,180223,-1,119969,-1,677452,459833,422098,492525,415215,718900,-1,27432,-1,-1,-1,-1,751645,-1,-1,274983,684068,411296,745094,-1,113688,624336,785703,460102,-1,-1,73868,57073,-1,57041,-1,99384,822841,-1,-1,317787,-1,-1,767278,-1,436633,-1,-1,-1,-1,187955,386107,932745,-1,-1,-1,730974,-1,-1,662570,-1,-1,-1,-1,-1,224524,758112,-1,79162,-1,-1,595930,-1,266180,633631,214963,527384,85991,985135,-1,264886,614759,393644,211369,-1,414539,-1,593312,919690,916366,447983,-1,-1,129310,246634,-1,443728,-1,-1,-1,-1,-1,84149,855868,-1,26198,-1,-1,-1,670584,-1,985021,523722,-1,-1,-1,624663,909954,518823,813734,315358,-1,-1,-1,-1,946259,281916,622454,-1,-1,310865,473753,354476,885510,19568,-1,-1,26026,686492,-1,959670,-1,-1,324487,-1,342056,852190,743194,-1,-1,-1,-1,69982,677381,616855,731615,-1,-1,935870,-1,-1,-1,939814,-1,307601,73549,-1,-1,-1,-1,820475,410936,-1,-1,902826,872561,-1,628036,625345,-1,-1,-1,-1,-1,-1,153044,-1,369598,-1,367975,-1,842979,-1,-1,-1,283161,445148,-1,-1,927844,-1,-1,-1,-1,234114,323605,851839,-1,368407,411008,-1,-1,346158,-1,422720,808563,-1,-1,170895,944327,-1,-1,846232,-1,359137,818747,513002,-1,874320,673911,601383,399449,-1,-1,65178,-1,578708,205755,-1,195907,-1,714431,524296,-1,832867,660397,616832,-1,-1,978409,523294,-1,-1,345051,162162,980697,662284,347963,802137,666386,191515,587623,-1,697878,-1,109714,-1,-1,639827,477730,383167,-1,371229,901149,-1,-1,394277,288967,495663,-1,998416,-1,-1,786624,-1,95822,193192,-1,-1,329085,682704,-1,-1,128656,-1,-1,-1,998777,-1,-1,-1,-1,164079,747131,443359,-1,-1,96331,-1,-1,544758,337867,-1,863003,-1,-1,318820,-1,611925,480007,743141,-1,-1,696647,-1,673603,419023,-1,-1,-1,-1,-1,967357,670781,60301,81952,166661,152633,-1,147091,-1,-1,58273,-1,-1,356879,-1,-1,-1,-1,996114,454139,-1,-1,470038,-1,23812,61441,60513,488416,-1,-1,-1,-1,-1,591295,-1,-1,708320,297827,-1,-1,308172,986211,171588,856222,-1,-1,359035,133351,-1,461124,-1,774709,239599,-1,-1,18191,235612,-1,956670,-1,-1,31137,504361,467197,651450,-1,840210,215193,-1,988306,-1,960465,-1,301890,173133,-1,-1,382603,-1,842640,-1,498726,973323,666371,469970,-1,-1,-1,-1,-1,608311,934312,145865,737605,-1,122831,788947,561595,-1,-1,-1,310449,-1,813879,370570,87331,-1,-1,434511,-1,-1,149210,-1,244657,-1,-1,406066,325726,-1,-1,-1,70165,-1,805711,-1,-1,-1,639502,-1,-1,-1,981255,-1,-1,-1,-1,269514,-1,-1,-1,-1,5669,-1,12165,-1,843185,220883,-1,-1,-1,855796,822932,502598,375709,-1,-1,69485,760370,-1,714535,226754,-1,-1,-1,-1,303434,-1,-1,418674,922349,404102,168549,-1,-1,-1,-1,228195,-1,-1,759626,438399,859020,659778,543679,588724,-1,320603,-1,-1,859315,544591,-1,-1,-1,-1,-1,804498,158282,-1,-1,-1,-1,-1,408891,409500,35320,-1,723322,-1,-1,-1,873634,-1,-1,586522,-1,286781,900926,-1,369811,-1,497889,589100,595105,138712,-1,839355,690309,-1,-1,-1,226190,-1,969064,518468,-1,962278,931243,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,131987,-1,327502,-1,968801,725041,505654,-1,-1,-1,-1,392556,778218,-1,-1,216131,387821,83890,-1,908016,440331,-1,-1,-1,420557,-1,975178,-1,172888,132214,-1,245725,-1,90398,400141,533808,-1,-1,22582,999207,622510,-1,-1,468213,-1,-1,718121,262480,-1,571618,-1,946467,723501,94043,-1,770403,-1,-1,-1,-1,74601,-1,-1,902369,952721,641816,-1,254521,72239,-1,-1,-1,-1,764772,228434,959574,-1,952297,-1,-1,-1,-1,625045,708553,325694,-1,-1,-1,-1,-1,-1,-1,-1,-1,902756,341439,-1,613281,358492,792772,-1,873573,608553,433122,-1,593161,705528,878279,712552,611016,912489,-1,747332,-1,609747,-1,-1,296455,-1,806316,-1,-1,119652,532598,459180,-1,-1,-1,389690,273024,-1,645321,261738,-1,741348,-1,648872,122506,-1,735247,726324,-1,-1,-1,657187,-1,474179,923598,-1,370283,644772,468839,997093,971477,671531,-1,582593,-1,-1,274495,586612,312602,902208,-1,629802,-1,-1,555076,219571,-1,695116,-1,-1,-1,-1,-1,351056,-1,-1,465210,456671,-1,-1,-1,87406,175711,-1,318310,786847,186450,193324,-1,-1,-1,-1,-1,-1,-1,796319,454067,825594,-1,-1,-1,928764,-1,-1,951383,-1,712315,-1,719177,595488,341171,919121,-1,15145,-1,-1,825147,-1,-1,868125,-1,943427,-1,-1,-1,27698,-1,-1,-1,830605,-1,638456,293064,499940,-1,872986,-1,-1,-1,757656,-1,926505,690407,-1,715164,-1,991375,-1,838285,997373,-1,-1,-1,386564,-1,-1,328466,325608,40502,813431,331929,64593,-1,-1,494151,-1,775962,-1,-1,176511,584523,-1,-1,-1,-1,-1,498925,232747,775288,136535,975838,755599,328430,207652,838462,-1,-1,-1,-1,467655,478500,-1,-1,651911,56867,975328,-1,251997,507473,140522,-1,453155,23435,232411,96027,-1,-1,618414,-1,-1,465494,423950,-1,-1,-1,603896,554017,794787,-1,490615,-1,-1,-1,-1,450305,550371,531157,668620,-1,954281,-1,-1,-1,19005,-1,660583,952888,350400,628952,-1,-1,-1,-1,-1,-1,-1,-1,408520,652225,-1,-1,766079,-1,-1,-1,656149,834043,153481,-1,332678,327254,390569,-1,-1,466323,616317,-1,563108,-1,-1,340116,-1,-1,567753,-1,-1,-1,98883,-1,378264,-1,-1,-1,987850,878335,526477,311615,-1,192537,960063,-1,196252,900913,600359,-1,545735,153943,-1,-1,-1,-1,392291,-1,-1,711288,-1,-1,-1,775946,-1,774657,390119,129420,625380,284898,-1,-1,593217,116519,-1,-1,636122,41840,293103,244513,158866,-1,-1,-1,672611,448020,-1,848750,-1,834784,71443,120142,-1,-1,-1,929915,-1,-1,562024,-1,212579,168522,828531,-1,-1,-1,742547,83501,276225,945971,-1,964090,-1,-1,177502,823310,-1,385149,-1,707601,635663,-1,214856,333601,-1,22149,-1,-1,-1,-1,-1,957116,138020,-1,417361,-1,-1,-1,-1,535978,-1,68408,-1,-1,-1,63899,-1,805556,-1,-1,727190,498992,15282,-1,-1,695369,540167,-1,319724,-1,-1,-1,-1,361542,-1,366954,15993,-1,118809,-1,-1,971766,-1,547336,-1,537700,-1,272579,613840,-1,-1,824621,-1,-1,530448,222812,342977,190513,-1,-1,-1,-1,419676,322693,-1,624932,961627,945910,429510,82670,-1,950299,862919,965534,162987,-1,-1,-1,-1,83045,-1,-1,-1,504743,-1,-1,-1,642906,583262,-1,-1,753037,895716,-1,-1,-1,632369,-1,-1,-1,313660,355723,519155,-1,-1,-1,761430,-1,-1,519675,-1,-1,693266,-1,-1,492843,-1,776767,-1,50405,658821,-1,-1,863498,-1,901224,638938,573405,881477,-1,-1,-1,-1,-1,-1,-1,65707,893128,18691,-1,-1,820105,580995,-1,-1,643046,-1,-1,790418,636287,-1,761040,-1,288891,712392,-1,-1,-1,-1,860662,852114,-1,703948,-1,839814,-1,848800,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,492748,63537,60023,883966,504237,504417,-1,112200,647597,-1,-1,-1,-1,198757,-1,351319,-1,155238,121481,-1,248574,39933,-1,-1,-1,324244,566117,137350,925716,-1,-1,-1,308458,-1,176051,951064,189456,668323,-1,-1,664914,367710,-1,358239,179974,431552,-1,20281,772129,-1,17126,-1,-1,388749,-1,485848,529843,658591,-1,-1,966195,540467,296357,-1,983783,641109,-1,704534,325499,816211,434929,663054,546116,-1,-1,849734,-1,986190,-1,715703,882654,-1,852911,-1,-1,282030,-1,550006,-1,-1,320711,-1,-1,475371,803205,-1,991944,633944,948437,-1,985774,106711,-1,-1,679689,805267,-1,137621,597094,99650,-1,685323,258275,-1,360596,961789,401705,394649,-1,-1,-1,308915,-1,178678,-1,875315,934870,771700,-1,-1,-1,116223,-1,685173,-1,-1,-1,314409,-1,-1,713261,485834,13444,324152,-1,-1,163316,186181,-1,-1,593866,293973,734957,932351,-1,-1,-1,-1,847495,-1,698632,134026,219188,638190,762215,302801,-1,-1,-1,663602,845172,162961,-1,-1,-1,724897,870678,241949,-1,552992,389348,-1,607412,-1,228145,-1,-1,628304,-1,-1,-1,342472,242035,-1,319163,100272,-1,-1,755475,843470,976854,807241,-1,411120,547234,-1,-1,-1,-1,294946,101978,-1,-1,-1,-1,932178,711920,-1,-1,413460,666743,305084,369171,-1,751554,485090,168962,339859,983023,-1,102748,360474,-1,592663,492902,860335,465452,-1,48986,388725,543597,180359,-1,-1,-1,-1,303610,327659,-1,994478,-1,-1,774493,48869,996443,507200,-1,394525,-1,-1,-1,-1,-1,334602,-1,607317,-1,415430,-1,-1,-1,-1,-1,-1,478791,327267,-1,875739,-1,89389,-1,-1,-1,-1,-1,846552,902093,134384,399461,705313,365991,143225,-1,-1,99320,-1,-1,161509,476169,-1,-1,841027,435741,869136,200818,599358,602993,62059,605707,995971,-1,-1,-1,-1,-1,795432,155697,-1,571226,749795,220757,499598,-1,-1,969683,232444,-1,750617,-1,545152,333975,639472,703567,25646,-1,-1,194363,-1,-1,-1,-1,973375,-1,-1,173609,492703,888920,157188,293323,-1,697151,-1,397144,476438,-1,92288,-1,-1,-1,517729,-1,498934,751908,140776,603267,415724,825983,464115,474787,-1,-1,400009,-1,291894,82750,229794,527831,746023,180835,-1,-1,153183,767078,205738,-1,945375,950381,-1,-1,836141,739891,-1,198192,392350,-1,971295,-1,899944,547311,121673,510598,-1,-1,847847,936089,550799,394618,-1,133285,-1,-1,-1,-1,-1,-1,-1,-1,169483,-1,568091,708459,281530,-1,599264,339829,198455,-1,146376,-1,-1,300319,-1,-1,-1,-1,365367,-1,-1,186648,-1,-1,610650,828014,920449,128610,-1,734772,-1,992259,229421,-1,798218,470644,-1,626196,-1,-1,240747,688845,884971,650962,-1,-1,-1,426409,-1,-1,-1,-1,-1,-1,469718,-1,444741,-1,935538,19929,-1,639751,-1,-1,300919,-1,-1,766711,428608,935797,-1,-1,299892,609094,410461,-1,-1,-1,-1,-1,-1,93769,-1,338870,-1,-1,-1,-1,254921,184929,498777,997266,-1,-1,-1,-1,-1,448180,942470,879919,-1,-1,-1,733332,636045,10812,-1,963172,-1,520070,339653,-1,624178,219768,-1,-1,-1,56617,-1,693501,516123,-1,331955,-1,474718,902060,-1,460197,971591,-1,102012,646970,510760,77867,-1,761922,-1,602979,806098,137697,785619,684569,463657,467567,12527,-1,503135,337888,-1,-1,-1,653188,-1,351152,907092,-1,373094,293250,492827,-1,-1,804821,656489,376402,767613,-1,-1,952468,-1,-1,149108,539313,992951,942300,-1,112457,-1,153727,310648,706310,-1,999237,-1,593450,657578,862925,-1,-1,871343,-1,-1,923781,46777,218049,-1,888368,652217,-1,-1,867090,743414,-1,-1,293623,-1,520159,-1,127594,-1,-1,491629,220400,37014,592646,804624,455386,224976,776774,-1,898275,-1,727446,-1,-1,916994,-1,-1,-1,-1,468780,400791,700059,-1,-1,-1,-1,388641,834073,-1,-1,8561,591366,-1,-1,-1,-1,143447,756928,-1,926566,-1,7654,606382,-1,19218,595662,-1,524512,183690,704522,955937,90079,-1,162969,318349,-1,227047,-1,-1,789600,288612,116723,244815,-1,-1,369483,970190,819036,957286,-1,705260,279772,370681,336323,-1,-1,-1,735624,-1,364499,-1,-1,234073,28991,-1,-1,-1,-1,-1,604131,-1,318018,-1,-1,229921,-1,898533,809865,210563,-1,-1,-1,-1,344582,326064,45168,-1,-1,-1,-1,-1,-1,-1,-1,931563,-1,-1,947031,896804,562079,-1,-1,-1,389499,395573,222299,926868,-1,701796,-1,-1,667240,-1,-1,-1,-1,-1,371177,-1,-1,582408,-1,-1,-1,-1,565267,922450,-1,861013,10841,-1,-1,-1,9071,-1,-1,381286,-1,-1,-1,-1,-1,-1,-1,-1,319474,-1,135090,-1,-1,-1,-1,-1,-1,-1,438527,463798,326193,767925,987683,937492,644271,-1,935133,43306,-1,211064,-1,565415,-1,501418,-1,-1,-1,132908,-1,823462,281241,984946,584220,-1,697413,161960,-1,-1,600171,-1,191583,321686,811704,657693,-1,-1,-1,-1,221444,-1,800185,505807,685064,-1,-1,71801,526577,872496,-1,946600,-1,211471,669367,193947,-1,-1,-1,235230,-1,438401,-1,676463,-1,-1,149603,-1,-1,830728,66243,-1,221230,801891,-1,381043,-1,965926,302841,842081,590001,-1,-1,379329,-1,-1,509322,698723,476285,960108,-1,-1,543160,812607,211644,-1,635641,-1,264023,876488,-1,-1,-1,15614,-1,24382,662865,-1,625524,429383,576804,85430,450361,106554,85163,722222,887550,-1,891372,-1,916735,-1,-1,23747,-1,-1,-1,-1,-1,218851,-1,-1,-1,-1,28137,213985,512385,-1,-1,-1,153032,-1,-1,-1,-1,777256,946645,-1,-1,97916,84180,565312,-1,863987,-1,930817,883632,143197,-1,865197,-1,831729,612761,-1,-1,535922,-1,-1,-1,732145,208494,292652,924004,114561,-1,-1,861436,-1,-1,928191,-1,569331,-1,-1,-1,-1,412893,257930,-1,749602,41457,739360,-1,973549,-1,527279,-1,699388,-1,955967,-1,-1,29244,-1,135664,-1,875246,184681,-1,172423,344081,283575,525591,509752,-1,-1,-1,-1,-1,18236,592576,-1,281371,-1,48145,-1,328765,388330,887516,-1,115096,-1,-1,-1,-1,512869,-1,-1,304184,485298,-1,403988,492805,-1,-1,725999,809335,620973,543730,-1,-1,-1,-1,-1,-1,-1,635900,535085,-1,-1,-1,-1,-1,625049,184590,-1,648552,278595,-1,-1,179400,-1,92996,546188,726755,119300,-1,244431,37675,159140,-1,-1,-1,-1,3710,853510,-1,356695,420064,-1,82254,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,227868,176519,542120,236047,-1,-1,-1,418965,-1,-1,566775,120968,809782,956843,242351,847349,276426,-1,-1,71604,-1,318455,-1,836898,259078,858316,-1,138402,-1,-1,-1,742075,-1,-1,952388,388265,963739,282476,-1,-1,210377,179098,958561,-1,28943,-1,731878,-1,-1,-1,958799,626779,-1,530442,798319,769361,-1,96760,-1,821446,29619,125620,581434,854499,850081,491213,-1,410754,-1,858988,634381,435205,9447,942551,889741,553322,997874,-1,-1,-1,849802,-1,681426,645532,210367,945532,-1,3539,609852,-1,463724,-1,-1,982219,521905,-1,-1,-1,152283,-1,-1,-1,-1,-1,-1,-1,692179,-1,778348,693918,448722,-1,291089,-1,-1,743450,413170,-1,896445,779098,-1,982366,-1,370899,578712,452389,-1,736808,-1,988873,-1,-1,-1,-1,-1,91651,24148,409657,575471,961376,-1,-1,403715,-1,-1,122003,422147,-1,-1,-1,56533,-1,-1,447641,83999,-1,150009,-1,216664,731242,-1,-1,573707,-1,-1,-1,484652,199418,-1,-1,-1,827373,712039,-1,-1,152358,-1,-1,5833,389881,-1,-1,809002,-1,710424,4228,721234,656578,115621,543988,-1,-1,-1,39380,-1,-1,346025,-1,-1,379900,-1,-1,204074,539705,-1,-1,779150,-1,600671,869469,-1,96408,-1,826621,749810,405748,-1,-1,-1,-1,-1,358201,339074,221019,239267,160506,123406,-1,-1,-1,-1,-1,-1,-1,927646,-1,194365,828583,798072,-1,625194,-1,506975,-1,-1,490904,-1,-1,641499,458193,588913,454255,795195,99582,846516,458144,-1,-1,202712,-1,-1,-1,-1,290398,-1,-1,-1,-1,-1,-1,-1,320218,358915,988109,451925,-1,-1,728185,-1,546061,699210,929286,602402,-1,-1,700958,887737,-1,-1,-1,642546,954991,809028,252171,527792,729083,886948,705340,-1,376666,974637,368116,46196,-1,292479,957706,619613,-1,-1,625617,990168,123084,191507,463525,-1,863786,564673,-1,267501,159519,-1,-1,-1,-1,610186,-1,-1,-1,550295,257155,844743,555609,426351,528378,-1,-1,-1,-1,-1,499276,395333,-1,-1,-1,621232,116384,-1,697019,278320,-1,223234,513907,605989,-1,-1,-1,509596,-1,-1,-1,-1,-1,-1,78369,-1,681294,-1,-1,-1,191734,720809,958854,-1,910859,-1,303129,-1,-1,640049,620807,-1,-1,658350,504630,386117,-1,-1,895227,230777,50045,25697,792185,390386,429498,-1,-1,569279,642229,615769,941942,-1,37841,-1,513107,-1,448269,-1,614974,-1,-1,-1,423806,210469,988076,-1,-1,303947,243735,-1,592843,342108,976099,-1,-1,-1,-1,-1,483247,-1,-1,954501,-1,-1,909181,-1,-1,862329,533154,582024,-1,761637,60152,-1,-1,-1,-1,122724,-1,254267,401770,943196,-1,678379,481399,-1,582741,731404,340456,950637,-1,-1,642391,-1,420863,-1,379799,-1,941776,-1,-1,-1,-1,-1,426393,-1,67769,419889,-1,911785,100027,-1,279417,-1,295188,190364,938841,-1,720119,-1,67941,162766,-1,-1,-1,134028,-1,-1,547214,534014,225244,-1,-1,-1,-1,580563,200292,-1,-1,-1,649480,-1,-1,362986,136155,-1,560241,-1,-1,-1,-1,-1,-1,984047,-1,-1,809307,-1,940571,-1,445438,-1,524057,95490,-1,-1,-1,-1,-1,-1,-1,621811,-1,-1,494482,-1,50609,-1,641795,989114,-1,122656,-1,281991,753882,970049,796298,-1,530599,947774,951826,412211,-1,-1,-1,966064,302002,-1,482996,73498,-1,-1,-1,551213,560803,318328,-1,-1,-1,-1,971844,647746,-1,-1,60007,-1,711097,386815,-1,634714,440887,833947,655204,468264,178869,330198,-1,-1,-1,232014,-1,-1,-1,385186,-1,958966,-1,561795,-1,-1,-1,753308,420362,580481,-1,998625,737924,-1,667077,349542,123091,836506,-1,600848,481798,-1,-1,705404,-1,343569,447544,859055,-1,594592,-1,-1,975692,-1,-1,-1,635108,-1,768951,-1,909574,573941,-1,-1,-1,735889,170817,474304,378206,653519,-1,149410,679944,179022,-1,288263,284989,270417,514207,-1,742949,-1,137158,165224,830928,-1,597791,282227,-1,-1,-1,500477,-1,558814,-1,-1,400661,188231,-1,-1,135479,823931,202754,-1,841768,-1,858342,139647,-1,253350,761480,-1,470300,-1,351655,777726,250377,-1,942183,-1,-1,-1,672526,463224,287429,-1,680140,-1,-1,777742,-1,-1,524983,406244,572286,53710,102042,394585,901577,891519,-1,-1,16954,356040,-1,-1,685267,331497,884600,-1,519175,-1,941780,-1,-1,600349,977336,-1,-1,930631,671688,764859,-1,-1,991956,908669,-1,649865,247147,-1,-1,893499,-1,-1,-1,876831,-1,419379,-1,456241,-1,-1,865943,-1,-1,333691,-1,-1,779202,-1,66079,290965,999402,-1,614561,813503,-1,-1,309998,446832,956755,-1,12501,378940,732506,354021,-1,-1,462259,919264,948548,-1,-1,462978,764762,-1,-1,3297,-1,-1,43704,-1,-1,-1,-1,642090,619958,-1,700043,-1,386310,840336,-1,786868,782840,321064,-1,-1,-1,339002,852989,93997,-1,-1,983972,-1,457063,335304,734224,54945,352258,-1,627850,666685,-1,852249,11204,-1,-1,429149,-1,-1,-1,114414,297982,-1,-1,-1,-1,290673,130740,978521,889462,246914,37037,-1,-1,-1,-1,-1,577874,-1,906794,-1,-1,148279,382867,-1,-1,169507,881541,194391,436125,783344,-1,-1,510861,-1,-1,916241,-1,-1,-1,-1,636305,-1,17250,-1,-1,-1,-1,749599,-1,-1,497654,-1,-1,153683,-1,-1,857467,378108,894571,-1,-1,-1,518236,-1,-1,-1,643578,880015,-1,828313,-1,-1,-1,335137,158205,139288,-1,-1,314225,-1,476746,-1,-1,413897,-1,526605,140196,-1,103270,-1,768707,-1,161186,-1,543924,93490,26714,83570,205865,-1,-1,63473,-1,637322,-1,-1,814805,-1,270786,-1,285437,622472,-1,-1,-1,391055,558328,520735,-1,-1,-1,203386,631915,754454,219631,-1,600231,-1,-1,886274,583310,-1,528048,626863,55984,-1,-1,122435,869895,966968,-1,-1,192478,777912,-1,-1,66076,332608,810897,902080,271299,-1,144226,-1,-1,-1,993065,-1,486097,819564,606591,59109,843257,-1,-1,-1,842063,659484,508175,912116,-1,-1,228118,137980,-1,-1,-1,-1,834858,-1,487123,713124,-1,-1,504991,-1,-1,832030,680191,346546,-1,808755,385941,-1,-1,222737,410981,638695,753631,-1,-1,1231,-1,582743,25906,-1,-1,329357,448849,747253,119,-1,61332,-1,394826,399026,792785,-1,-1,-1,-1,292895,423141,-1,-1,-1,435444,-1,380964,-1,756108,640731,991753,859006,-1,-1,413131,-1,811002,391273,-1,469672,624850,-1,501612,-1,-1,817335,-1,308144,636712,857589,245962,-1,-1,770483,19553,882828,-1,321788,-1,-1,-1,642854,893391,651596,15741,-1,-1,834939,509827,630234,-1,431460,870238,591431,800656,-1,168231,-1,473157,-1,401200,175740,-1,309185,618807,865032,391280,880734,277282,348724,350397,-1,288729,71925,603075,822947,873129,-1,899760,-1,955221,-1,-1,289480,755081,137084,995593,-1,638843,-1,-1,-1,-1,426326,891671,241166,-1,164322,221762,233678,-1,-1,889033,701809,-1,137520,165899,-1,-1,-1,560584,611893,-1,795728,-1,-1,-1,54929,220525,-1,582131,192589,233154,149743,-1,115308,-1,749982,-1,983029,-1,942437,-1,53294,-1,146711,90297,511022,199461,-1,-1,-1,704467,-1,872509,367569,-1,-1,597642,-1,-1,-1,31724,494964,-1,-1,231163,763326,-1,245696,-1,-1,-1,846564,-1,-1,7058,156006,-1,-1,942625,-1,314575,693173,-1,134021,686869,-1,240888,738272,-1,957829,990079,-1,812312,-1,287928,-1,-1,769412,-1,976851,-1,539144,42472,711824,-1,-1,-1,-1,732378,595031,-1,864701,494242,450129,906557,43200,-1,316151,-1,777369,672141,-1,-1,618104,246575,-1,-1,-1,957944,156685,693357,496357,-1,-1,-1,203702,-1,450036,-1,743373,322138,-1,8994,-1,844162,-1,184769,-1,-1,-1,-1,-1,-1,552792,-1,-1,-1,872520,-1,355694,928808,-1,-1,-1,419989,-1,67651,390616,256686,274287,980406,-1,820624,739915,-1,119717,408342,195802,-1,-1,532294,755881,-1,-1,134693,480922,223269,-1,315415,-1,119514,142274,-1,-1,782235,341520,-1,-1,684546,-1,-1,629277,28047,153151,363926,-1,300598,200592,-1,18356,-1,-1,-1,581816,-1,-1,766129,-1,-1,-1,308113,697363,-1,-1,-1,-1,-1,300311,-1,-1,530515,-1,207529,130082,404740,780262,989135,839497,-1,-1,-1,-1,49267,477464,658358,172131,638805,-1,-1,-1,-1,-1,858800,748542,-1,160564,-1,-1,241114,910056,634948,-1,326047,-1,743548,380285,-1,786736,254415,-1,989874,364318,-1,-1,-1,-1,474386,752268,-1,-1,251968,-1,502121,845117,431621,988764,388903,-1,124945,966514,21401,-1,-1,-1,-1,-1,-1,136613,-1,786515,581740,-1,-1,-1,551392,254088,628571,831551,-1,-1,-1,-1,-1,640805,577178,148520,451295,142370,120844,830566,728919,631469,51152,-1,97694,993536,204361,-1,464906,-1,466767,506798,532962,90898,388889,-1,695881,-1,-1,21739,26821,-1,-1,721692,-1,410336,-1,378211,647053,-1,-1,-1,-1,-1,-1,-1,354032,-1,-1,-1,883953,99509,391319,-1,645128,970594,535807,-1,-1,-1,-1,507145,-1,-1,-1,645715,-1,324722,499197,-1,-1,169301,-1,157867,-1,-1,652019,-1,-1,-1,-1,777357,-1,987429,858355,376063,-1,-1,-1,626768,-1,884784,-1,522678,735327,402671,-1,-1,224927,909559,529436,-1,-1,117516,390637,-1,-1,-1,1165,-1,-1,988726,441938,515536,17123,-1,138373,387935,722134,-1,914162,565968,27223,-1,-1,955625,767850,-1,288528,-1,339545,-1,-1,873015,720472,-1,83558,855441,-1,399370,-1,-1,-1,-1,320101,-1,97215,-1,118326,700098,-1,-1,-1,-1,484857,468672,153010,-1,-1,641658,881451,532646,-1,-1,-1,392249,681645,-1,-1,-1,-1,475061,691723,182378,-1,-1,-1,486193,625087,372416,821551,147878,820851,347654,-1,971478,742641,-1,6757,529914,-1,447313,-1,660531,-1,177565,-1,292343,-1,-1,-1,-1,331818,316236,-1,-1,-1,-1,187243,900094,-1,124659,-1,-1,-1,558613,-1,818091,-1,-1,-1,108614,710863,-1,898541,736243,-1,575340,910650,201823,-1,808667,-1,-1,64954,538692,7770,-1,-1,-1,-1,-1,-1,-1,965640,490657,-1,-1,-1,215309,783785,460142,126628,530338,-1,149859,-1,-1,-1,-1,415859,-1,312902,747747,210729,-1,989413,-1,837844,941519,-1,666127,534343,405457,967329,916795,-1,-1,-1,382514,-1,-1,-1,383805,-1,-1,-1,67982,902362,907973,278418,-1,-1,410395,-1,447897,772485,959684,-1,952064,496192,68533,-1,565963,-1,-1,-1,-1,599191,-1,674920,-1,-1,94900,-1,720336,417682,-1,-1,-1,-1,648453,-1,-1,-1,-1,-1,-1,-1,307104,-1,676868,425220,-1,-1,-1,404756,-1,-1,792090,278061,767001,-1,-1,-1,-1,886026,-1,278471,-1,340608,-1,278109,265103,-1,164098,807502,919514,-1,-1,575152,945726,628394,-1,-1,-1,465979,-1,-1,-1,263972,352091,-1,233659,-1,272498,-1,306177,-1,954231,-1,-1,-1,-1,240136,-1,-1,-1,949328,-1,-1,615385,77369,-1,730225,152108,-1,-1,416356,-1,-1,-1,-1,-1,-1,137576,131179,720559,-1,-1,389812,-1,-1,930774,-1,183619,309225,948513,339131,461885,-1,474540,-1,-1,-1,120516,304522,776478,535487,-1,-1,971536,402636,45902,765058,-1,142861,-1,83775,976382,168475,476287,-1,441492,-1,-1,959894,-1,-1,599450,870490,-1,380034,-1,682741,-1,927502,-1,-1,120272,-1,-1,-1,970698,-1,-1,-1,500340,-1,-1,-1,-1,-1,-1,858714,330115,169420,469078,-1,822395,-1,-1,-1,-1,11938,877173,807918,-1,248035,-1,535131,-1,-1,983275,962720,843811,969538,-1,706356,-1,-1,-1,-1,300474,-1,-1,618357,2421,609320,-1,-1,-1,389967,152501,-1,234741,-1,982601,540112,420959,105312,898927,835907,-1,-1,956227,-1,-1,420043,-1,-1,510841,208485,-1,509112,447951,-1,-1,90603,-1,-1,167052,978065,-1,-1,-1,906165,797251,723118,781556,639191,-1,-1,-1,-1,704936,109745,635393,-1,433536,-1,-1,707757,-1,729657,673562,422127,-1,779381,99088,-1,369601,420002,42274,-1,287921,582118,-1,442398,-1,-1,-1,283790,666181,332310,-1,823750,-1,-1,-1,-1,712022,-1,397146,929240,-1,-1,-1,797869,62036,5537,382440,214379,-1,-1,105649,114325,577558,-1,90904,-1,678780,187528,786151,-1,-1,-1,904874,137712,715804,-1,-1,-1,283484,-1,-1,11722,471928,100222,662656,-1,-1,650275,700389,634562,409372,-1,-1,192010,474806,-1,590262,159481,887391,943323,553990,-1,407987,-1,659190,618672,-1,365554,395527,722976,-1,78563,-1,441419,-1,-1,706126,525193,-1,-1,-1,268206,-1,719440,-1,-1,481344,-1,301486,-1,-1,-1,729199,478792,861101,959994,-1,561025,974944,723744,983617,-1,-1,-1,875648,753020,190519,692008,177542,259719,-1,-1,701064,-1,78432,654150,-1,-1,249280,28236,830112,-1,557384,778504,-1,-1,-1,-1,254111,791167,-1,-1,691520,-1,-1,-1,289250,63909,9514,136642,-1,550230,-1,531896,134124,-1,912996,728088,967871,-1,-1,-1,120361,660450,308989,839231,-1,-1,343474,557969,-1,-1,-1,-1,-1,561528,607682,-1,222535,463470,-1,555324,481090,917110,-1,372973,9322,-1,-1,363347,-1,30949,206064,594575,-1,-1,196839,804570,-1,166108,-1,-1,-1,715901,-1,-1,86057,-1,-1,701733,-1,-1,-1,-1,518671,-1,-1,-1,-1,-1,-1,-1,-1,-1,548995,-1,772462,721917,-1,266623,-1,968711,-1,-1,361583,617394,582414,-1,-1,-1,632060,-1,741632,-1,821,-1,-1,909263,67327,988785,17846,-1,363174,-1,-1,-1,316235,938473,505074,-1,704213,-1,-1,15240,-1,792108,-1,-1,103508,-1,-1,529957,-1,-1,-1,8299,-1,20335,514206,718786,-1,-1,207482,623926,77647,989459,-1,398552,-1,-1,802198,794473,-1,-1,-1,708065,836232,-1,184399,701784,763561,-1,881061,708499,-1,-1,524022,-1,-1,-1,394416,-1,155767,112446,892100,774824,-1,-1,-1,252657,-1,590112,653295,509594,-1,630538,-1,-1,186508,-1,-1,115005,109484,790458,152174,-1,-1,-1,-1,-1,-1,-1,-1,102374,-1,952902,-1,944714,500349,-1,-1,-1,742120,662241,-1,307555,722792,-1,-1,879127,656997,935343,123271,444373,-1,-1,293677,-1,615657,661144,-1,-1,167940,-1,-1,659551,762886,-1,35195,-1,311324,863060,-1,-1,495081,707457,42641,55016,-1,-1,796036,703269,-1,579990,-1,276654,495785,-1,-1,-1,674644,568590,-1,537067,486647,2533,606623,179415,429346,727331,-1,-1,-1,-1,-1,-1,7884,298824,-1,-1,-1,465928,41072,-1,-1,265349,14800,-1,-1,10523,-1,722907,-1,-1,-1,628461,-1,-1,182076,987472,-1,548175,-1,424677,427710,565098,407692,-1,-1,-1,351902,-1,-1,-1,189331,-1,626436,-1,-1,-1,469928,180076,-1,-1,797434,-1,72066,-1,591262,14124,31750,-1,727229,-1,-1,-1,-1,-1,-1,-1,-1,-1,201380,-1,901884,683300,-1,127694,49951,467811,-1,333048,556059,429829,986129,980215,640053,917030,-1,-1,443673,-1,-1,-1,-1,-1,428863,-1,113795,-1,177123,-1,524432,-1,113221,534722,-1,139249,734218,453510,704528,713523,610252,758573,-1,-1,-1,-1,-1,-1,642493,-1,884310,-1,-1,193580,-1,189625,813581,175531,188509,-1,207255,488044,-1,608332,963914,17449,-1,-1,-1,-1,-1,-1,-1,796534,-1,-1,487024,904658,-1,-1,953677,-1,-1,-1,-1,207589,-1,-1,102161,100381,-1,-1,-1,941539,857586,60230,-1,-1,-1,397757,-1,312026,-1,128978,-1,935130,432704,337947,848584,-1,521754,916085,-1,-1,732784,716280,997999,-1,576031,-1,-1,-1,458164,-1,-1,-1,-1,-1,-1,207093,-1,-1,846814,474534,-1,-1,-1,-1,-1,-1,208301,-1,-1,-1,541117,-1,-1,-1,648081,-1,-1,172207,231904,-1,-1,-1,-1,422948,222125,-1,966528,-1,-1,-1,842816,290452,-1,-1,597403,-1,-1,-1,-1,986698,46265,921163,-1,-1,-1,643179,-1,-1,-1,300216,-1,-1,506288,867463,-1,410452,-1,936925,305442,-1,-1,524134,207895,701983,-1,51144,848773,366719,-1,-1,593186,734365,810799,-1,240871,487032,532976,449843,34016,-1,723893,-1,129821,485191,-1,952196,-1,461592,-1,630951,584225,-1,-1,-1,-1,-1,751429,-1,138328,563116,-1,-1,134302,-1,-1,58048,397910,939295,861167,586632,943788,894287,175000,970918,-1,-1,556086,50371,-1,352788,-1,-1,-1,486125,567114,-1,-1,185078,831494,-1,130665,69975,-1,147840,277411,-1,784094,-1,-1,-1,938543,184170,-1,-1,-1,185190,917795,-1,240652,-1,-1,672674,106088,732998,-1,-1,-1,563772,-1,895960,-1,-1,-1,387427,-1,-1,612452,542925,-1,237568,616660,-1,-1,11838,-1,-1,-1,205283,720269,967499,-1,-1,-1,561522,660884,331273,-1,535855,308940,-1,-1,920963,-1,655081,-1,-1,346548,-1,-1,144295,258958,812500,175630,453086,-1,-1,-1,-1,982364,417630,250543,-1,-1,-1,-1,853468,907805,866615,718594,-1,82445,-1,650147,220463,-1,958307,300160,50341,-1,-1,369457,20220,760411,-1,369757,961289,-1,339551,-1,856082,-1,-1,139255,-1,-1,-1,-1,-1,-1,-1,158552,-1,-1,901164,-1,-1,128146,871142,-1,-1,-1,-1,-1,852505,-1,867034,676428,-1,-1,-1,-1,-1,722223,-1,651708,-1,532245,986580,-1,-1,331832,246334,-1,-1,753669,-1,-1,-1,-1,369609,820240,-1,293187,-1,-1,-1,505311,-1,-1,515883,56550,796573,933685,156499,228984,309566,508079,670321,744135,792266,124459,334109,462177,390234,-1,69970,488652,945320,386683,-1,-1,-1,-1,796331,896844,944694,-1,-1,-1,-1,598517,-1,-1,-1,-1,213568,-1,-1,-1,-1,-1,-1,-1,674750,-1,695432,75872,862705,-1,-1,790299,503612,-1,-1,636192,-1,877815,-1,510268,486675,330164,-1,232464,258686,663245,-1,-1,-1,-1,-1,107247,-1,-1,-1,48165,-1,-1,615564,827437,603850,353816,-1,-1,79978,264308,-1,-1,14361,-1,-1,-1,-1,-1,-1,534437,-1,74375,994339,-1,-1,-1,628974,-1,32400,118803,521457,-1,61347,690363,137423,250479,-1,-1,-1,-1,89503,-1,379899,796234,-1,-1,693148,-1,867779,925239,-1,-1,-1,172150,-1,388816,641641,107547,-1,-1,-1,504592,805899,719302,-1,652598,-1,267584,895898,-1,-1,145127,-1,588721,204790,245872,851979,-1,884977,-1,638662,913058,104433,280012,-1,-1,-1,737791,62263,-1,-1,638187,-1,81314,-1,851574,377910,319918,-1,-1,737371,-1,-1,161791,615498,875953,401209,-1,-1,-1,-1,-1,-1,795342,-1,887574,-1,-1,-1,866143,-1,968409,43024,-1,-1,-1,-1,-1,268210,994042,-1,182971,831032,-1,-1,352658,-1,-1,145371,-1,-1,-1,-1,-1,-1,853498,-1,416569,672506,-1,694475,-1,-1,-1,896820,873616,-1,-1,14024,-1,-1,14594,-1,121266,-1,400085,690040,546351,-1,-1,-1,-1,810348,506315,-1,-1,-1,-1,-1,216895,986949,975848,-1,244725,161213,-1,336570,-1,989749,397845,-1,732286,818517,926305,513371,-1,292437,-1,331768,-1,-1,-1,641894,754753,174190,-1,954807,935693,-1,-1,-1,215689,662919,-1,-1,204387,-1,-1,222305,-1,-1,412966,77695,320024,763564,843105,-1,-1,774424,-1,119270,-1,-1,-1,938102,263735,-1,-1,-1,-1,935882,-1,789865,789983,910204,-1,827203,-1,-1,-1,697044,-1,-1,500829,283019,772788,755083,516816,-1,-1,-1,-1,-1,646655,487279,966910,-1,223523,-1,-1,-1,-1,129568,880717,292984,-1,-1,247985,-1,78259,946974,-1,705770,-1,-1,-1,-1,313102,-1,-1,-1,-1,883897,-1,564315,507666,19438,206550,536514,-1,470584,313902,-1,243258,922029,-1,389030,624755,61016,-1,281032,869896,762524,671071,223394,-1,457259,741960,-1,-1,513582,-1,892280,-1,83230,856140,679115,799069,794498,579248,504108,490607,-1,235535,-1,819528,341207,193397,255811,-1,-1,268291,251951,59240,894540,935640,-1,31987,-1,-1,-1,163267,-1,-1,480644,639716,941375,459438,-1,596869,-1,825757,490900,-1,-1,-1,-1,801502,702889,489605,-1,-1,27440,828038,-1,-1,-1,101731,275780,-1,191329,836284,-1,-1,850629,-1,983353,473628,-1,-1,592647,-1,-1,-1,315500,591545,-1,440612,109051,495675,-1,-1,846429,545503,-1,889808,-1,-1,-1,256279,15388,971153,-1,232291,465031,636143,-1,-1,741994,-1,-1,239202,-1,-1,215236,97036,962632,-1,-1,937344,59201,165520,-1,707844,-1,-1,706723,-1,-1,-1,287412,-1,165932,823536,311725,-1,-1,-1,-1,177707,241207,812451,-1,317562,-1,659492,-1,-1,-1,-1,-1,-1,-1,576458,482785,-1,-1,-1,646042,929512,-1,-1,441481,479034,394088,-1,-1,-1,-1,709229,779210,-1,307990,-1,-1,-1,183453,124366,531927,503883,143346,437920,-1,942550,536879,577107,54710,-1,-1,645588,527581,694066,-1,-1,-1,100867,-1,998859,-1,290358,-1,285797,47025,-1,-1,-1,-1,-1,-1,562349,-1,-1,214482,-1,-1,324912,-1,-1,476469,-1,500220,280082,34677,212451,407652,-1,209751,-1,253838,-1,573627,800725,-1,-1,720051,-1,257605,637119,45174,-1,318281,463994,573919,787052,-1,-1,619147,-1,954456,651509,-1,754804,-1,-1,-1,-1,254686,-1,671621,-1,646627,594841,290257,634247,217871,-1,21475,385521,-1,-1,-1,-1,2599,80522,5874,653682,-1,-1,-1,609610,-1,-1,-1,79092,-1,980817,424874,675082,352415,-1,223154,-1,333375,-1,-1,-1,975626,101904,124302,192350,-1,-1,502032,-1,327050,180901,-1,-1,-1,591740,-1,998297,33383,-1,-1,-1,704503,-1,706131,275648,374284,531427,722407,849902,562279,207361,-1,412371,-1,937625,648338,-1,-1,-1,-1,966293,184826,-1,444994,-1,-1,62010,450754,-1,-1,-1,-1,402915,-1,-1,-1,901537,590025,-1,-1,-1,-1,-1,786007,-1,550741,-1,-1,-1,310016,171031,721052,-1,735202,-1,509108,-1,577221,-1,-1,833216,-1,819533,687952,29229,24151,294806,706423,-1,681293,772710,144462,-1,-1,211403,285491,363581,-1,279161,-1,-1,301674,386638,466699,-1,-1,-1,-1,190818,31672,783125,-1,-1,-1,675376,-1,-1,137177,759300,-1,-1,59151,-1,688425,620856,358420,-1,-1,816082,748867,432540,-1,-1,614776,977100,-1,-1,739879,-1,866317,-1,699471,718821,753219,792051,806907,691180,363734,410381,-1,-1,-1,518136,96975,-1,702620,-1,691978,-1,-1,-1,424947,-1,412575,223704,86886,-1,322679,750967,-1,-1,453152,251903,-1,951332,-1,-1,-1,608501,301881,-1,-1,-1,-1,484834,-1,953242,788816,128621,376650,-1,754220,162159,-1,293642,814623,427575,-1,-1,479652,-1,-1,-1,158605,-1,508810,241014,-1,779589,186589,985094,344712,318376,745523,826627,624304,681945,863730,90522,-1,-1,-1,-1,-1,449027,-1,-1,-1,606948,-1,166697,-1,292588,-1,-1,-1,-1,-1,824727,216239,-1,-1,-1,998757,-1,228932,158489,253665,-1,277532,791101,-1,557123,-1,-1,139865,287053,598169,211073,852676,-1,915786,801789,-1,211482,613516,-1,-1,361347,-1,-1,-1,29259,690235,589986,160945,62055,206851,-1,815724,-1,-1,-1,-1,-1,-1,-1,977575,-1,-1,-1,-1,-1,-1,784882,-1,-1,913878,783950,-1,-1,253320,-1,432327,925492,74908,-1,647662,11508,-1,995011,-1,-1,727420,778574,-1,109165,-1,146901,537912,-1,-1,-1,-1,-1,-1,-1,757980,116316,-1,-1,-1,113580,-1,618594,222818,144121,-1,971383,121511,897229,645830,892648,-1,92011,-1,-1,-1,576757,-1,-1,-1,565648,89951,222355,362920,450728,310912,-1,-1,913485,61724,-1,128274,-1,960445,-1,-1,278142,-1,884713,779216,-1,716199,134731,697362,-1,-1,736519,-1,983347,-1,511074,-1,-1,-1,-1,-1,104232,-1,874667,581936,-1,294502,677022,585749,-1,-1,-1,-1,968502,-1,628191,870560,-1,799110,310206,-1,964058,808540,684619,331745,536809,849330,773282,357960,313476,326402,-1,-1,-1,-1,817360,324275,118929,-1,922793,275316,26744,-1,49713,565178,415158,412561,-1,658644,582994,162188,-1,-1,-1,305010,64751,527601,-1,-1,47906,583989,-1,270426,-1,84848,-1,-1,-1,-1,-1,268209,415580,-1,252200,-1,-1,-1,-1,-1,-1,-1,-1,179604,-1,-1,-1,740972,97941,766736,-1,-1,391979,330839,-1,-1,823215,283976,205528,229763,-1,-1,-1,-1,-1,-1,-1,244260,277147,-1,495728,-1,-1,108801,-1,24981,-1,482293,-1,-1,907011,128591,-1,-1,-1,-1,21096,807536,652840,-1,556781,-1,-1,508371,863486,-1,574538,-1,-1,873081,431234,-1,-1,-1,-1,601643,-1,421561,201967,851383,783333,975499,-1,324177,135296,-1,-1,694909,-1,-1,-1,-1,130700,-1,-1,-1,-1,-1,778726,-1,-1,-1,289983,-1,337681,753626,-1,123525,-1,-1,723402,-1,-1,-1,-1,-1,-1,313556,-1,641728,23998,-1,-1,597927,206948,175309,130919,-1,723702,-1,-1,305379,978435,110239,-1,542431,-1,-1,-1,-1,-1,835237,72195,-1,-1,347181,-1,-1,931164,521560,-1,613877,444195,-1,-1,594632,998350,-1,-1,-1,387433,-1,275235,983361,-1,697647,-1,43636,-1,-1,59894,-1,36196,85489,-1,38457,924625,187145,-1,-1,833070,773734,193827,-1,257950,-1,252573,944891,660321,-1,651878,-1,657745,727700,508727,963974,79415,84616,-1,402463,-1,437825,638764,-1,-1,646985,326187,-1,243245,-1,-1,563048,-1,793149,-1,-1,-1,897225,165800,428771,515170,776100,-1,48549,-1,-1,-1,-1,-1,698129,298960,-1,-1,936147,-1,-1,271143,-1,-1,75744,-1,-1,-1,-1,74800,-1,-1,-1,-1,574224,683789,908453,444250,-1,446507,-1,934023,140660,853654,-1,388283,958219,271504,-1,-1,25833,-1,801451,-1,723463,663457,947025,281240,-1,91361,-1,-1,398323,-1,-1,135474,-1,-1,-1,-1,64372,-1,401358,-1,-1,-1,156107,-1,-1,983062,-1,81739,-1,397892,483967,-1,202561,-1,381847,-1,803382,-1,-1,-1,-1,-1,-1,922539,-1,-1,908611,-1,638159,980467,-1,302912,577835,434161,-1,-1,-1,-1,789455,979887,-1,-1,58960,-1,-1,201160,-1,-1,-1,-1,250024,239937,-1,916756,-1,67493,433518,-1,-1,156715,-1,-1,-1,3200,-1,-1,-1,774681,-1,147434,-1,-1,853551,-1,835341,832723,-1,-1,792198,396784,-1,219134,684118,636629,967569,-1,-1,-1,-1,803956,-1,-1,697792,-1,458941,-1,484068,-1,803455,795569,-1,-1,26658,996232,228888,661206,-1,-1,-1,545756,108563,-1,-1,760979,-1,-1,-1,413155,102366,437175,722634,-1,-1,635947,-1,217543,607073,-1,-1,-1,-1,393593,-1,-1,231275,202348,229538,-1,703160,393662,881845,-1,211253,-1,904514,280731,140289,-1,803154,-1,844634,-1,-1,683497,86541,-1,-1,236292,-1,-1,353456,-1,949326,533728,-1,465206,251693,381406,682670,-1,-1,-1,-1,-1,553965,-1,-1,512840,716812,-1,66847,113196,-1,-1,877174,94225,-1,-1,-1,131715,-1,-1,171254,-1,-1,-1,-1,-1,27475,-1,741178,855768,579898,-1,655814,439934,-1,-1,-1,828210,-1,142588,679844,915276,331116,-1,-1,512594,-1,737059,-1,440361,-1,905915,-1,998974,-1,287844,551127,358206,381336,-1,755854,485521,368306,163905,768287,-1,297490,-1,-1,-1,-1,-1,856159,-1,-1,43367,592031,-1,217923,-1,-1,174892,606492,-1,-1,894348,416279,671141,357312,-1,-1,-1,648724,200044,-1,-1,-1,-1,-1,-1,-1,478762,-1,321429,-1,-1,-1,734101,-1,-1,-1,236267,39662,-1,817328,-1,-1,100561,505744,-1,-1,344454,-1,-1,-1,396378,232655,-1,395295,-1,577368,-1,460661,197002,-1,622315,-1,-1,-1,-1,-1,466730,-1,414274,-1,-1,-1,623538,-1,-1,-1,271030,798327,-1,-1,-1,412284,-1,939307,-1,-1,389856,686480,722778,-1,-1,361090,521345,965893,-1,-1,-1,-1,997201,-1,695589,-1,161446,-1,879609,-1,-1,-1,-1,67828,177401,-1,-1,524900,930430,-1,-1,874544,-1,-1,619355,549266,919829,989125,-1,-1,375359,146446,-1,806241,919477,99729,-1,724682,618233,790171,-1,988132,466167,342864,59649,29316,-1,-1,-1,578277,646147,822564,136599,475697,665233,897904,778103,123814,791818,61547,567696,-1,224995,-1,923751,-1,-1,-1,486270,-1,983227,-1,139147,834685,838980,123121,-1,-1,-1,289435,581046,39820,-1,-1,523016,-1,-1,-1,471390,-1,-1,-1,-1,581829,-1,378426,172977,-1,19938,390088,-1,-1,-1,947630,-1,-1,-1,860984,-1,-1,-1,722296,-1,-1,-1,621070,741821,940040,74295,-1,111600,238647,15762,972299,717425,-1,-1,-1,111286,-1,-1,-1,-1,237760,688240,-1,288076,-1,-1,677326,-1,776626,-1,913895,-1,795104,815770,-1,401947,997603,-1,467719,402382,-1,412336,-1,-1,-1,-1,-1,695458,432875,641665,-1,608434,-1,482979,-1,22620,-1,702811,-1,334001,-1,372521,347368,700773,471742,580534,901402,343459,-1,877275,-1,-1,-1,-1,830084,-1,659798,-1,595846,-1,145981,715333,-1,979999,-1,-1,702636,-1,-1,-1,918037,117649,613845,-1,-1,-1,495963,264117,-1,-1,395012,-1,541783,-1,-1,-1,380531,-1,996405,738947,-1,-1,-1,-1,-1,45807,-1,-1,-1,235542,520297,101820,-1,995220,-1,848546,471060,519973,60703,693132,368149,-1,898845,-1,-1,123318,762578,-1,387551,420162,208075,-1,675974,585248,123485,-1,-1,47209,-1,488756,-1,447588,949658,-1,869936,-1,479031,577008,969358,-1,-1,-1,-1,291748,-1,199159,-1,-1,-1,671400,-1,-1,966499,-1,832147,-1,712698,365771,-1,-1,-1,-1,612830,-1,-1,995014,-1,309564,-1,-1,994430,-1,37495,55041,-1,258465,644336,-1,692409,363396,52414,673963,-1,-1,167514,-1,-1,357333,-1,238056,-1,-1,494960,327425,227348,-1,-1,659347,756119,-1,-1,759786,-1,770955,-1,-1,-1,-1,-1,656152,-1,-1,960796,552327,198920,-1,362087,489623,-1,338852,-1,-1,745129,423235,-1,994734,-1,341662,-1,-1,-1,-1,509977,-1,837290,682474,598738,-1,-1,-1,737841,921811,-1,-1,590811,849221,-1,-1,993697,-1,22275,641061,413128,223506,859096,942278,-1,905805,-1,675096,-1,783437,-1,831593,55912,-1,-1,-1,126636,-1,-1,139943,-1,-1,-1,-1,918008,-1,904232,255537,416840,908492,-1,-1,151716,-1,440230,718385,-1,384753,-1,-1,-1,961618,-1,178510,-1,69909,-1,770199,551858,666528,-1,817587,327937,-1,427452,-1,-1,-1,511183,30741,226141,48899,-1,-1,-1,-1,852069,-1,-1,437635,-1,-1,338738,-1,-1,-1,-1,-1,-1,-1,729754,-1,2659,362670,-1,773114,-1,974706,-1,860623,176198,-1,33714,988140,-1,707556,-1,437034,989231,-1,762782,467490,852947,-1,428990,-1,440962,946625,582436,183136,-1,290035,-1,406940,881945,675907,788303,755359,-1,846897,-1,-1,211716,-1,-1,549636,-1,830147,187550,890742,-1,-1,855303,-1,880325,-1,961176,649945,975425,160171,69630,681759,-1,-1,490570,-1,-1,-1,-1,-1,407061,-1,733308,-1,872156,-1,57503,518750,343083,995050,607273,614312,745413,-1,-1,911849,963417,-1,-1,-1,962855,-1,-1,804140,948483,544465,900834,-1,268797,-1,590123,-1,-1,523157,773479,-1,83192,442427,-1,-1,461915,6516,-1,967817,474938,612007,821450,-1,896860,702936,-1,-1,-1,-1,-1,-1,-1,-1,801187,517245,-1,-1,832564,-1,-1,-1,446530,16581,152682,-1,943811,-1,-1,-1,450467,-1,-1,-1,531967,650437,-1,870624,-1,-1,539321,-1,539305,20483,813964,978623,-1,-1,478658,-1,-1,875194,-1,585105,-1,727042,909230,-1,713579,-1,514153,170347,-1,-1,-1,709045,41443,-1,564100,-1,-1,476821,-1,-1,-1,-1,-1,-1,516701,567480,-1,911553,651930,784323,115018,849019,-1,743996,-1,-1,-1,-1,-1,166856,-1,-1,609165,-1,-1,810520,-1,547885,-1,5092,-1,104909,-1,-1,407620,962170,-1,-1,351354,79188,-1,-1,-1,841903,-1,-1,752472,446987,-1,-1,236589,235692,-1,453631,-1,138820,689003,-1,501737,695487,852164,873507,640190,-1,-1,32737,512670,267561,627303,-1,63379,-1,-1,840477,875545,-1,440779,-1,400783,74984,917948,819452,705742,-1,-1,-1,353869,770484,-1,-1,78018,-1,374739,843825,885559,430053,17057,732337,-1,-1,-1,343165,541666,998943,670731,-1,560192,285793,-1,-1,-1,315059,-1,669097,265976,-1,682573,450010,956046,-1,-1,-1,19559,249957,-1,-1,419799,-1,-1,237873,96029,-1,112051,560605,409974,-1,-1,-1,200373,647513,-1,-1,817260,-1,-1,656782,-1,223561,398960,269840,-1,524033,-1,300995,59959,484201,-1,-1,-1,908867,-1,-1,-1,-1,945633,-1,-1,-1,-1,-1,499991,-1,267930,-1,241388,-1,540560,410703,-1,726061,208526,186343,-1,431455,360047,821377,104793,447529,598808,-1,-1,-1,-1,477329,-1,855784,-1,-1,477801,44664,-1,-1,328951,575751,218287,-1,-1,-1,-1,688905,382557,-1,-1,362084,68229,-1,-1,266983,562914,482939,-1,765027,58011,347979,846427,-1,-1,-1,684676,-1,950977,-1,-1,565834,763761,790488,-1,251028,-1,684855,-1,423875,-1,827569,-1,-1,-1,631906,-1,632712,12206,-1,-1,-1,462777,199089,-1,553636,-1,-1,56809,610357,-1,-1,479441,-1,868871,183206,352404,261049,690931,442177,-1,-1,698821,377252,-1,-1,-1,399495,-1,-1,-1,311482,-1,-1,-1,627752,643911,-1,-1,-1,827188,120751,684212,362888,-1,355772,241987,-1,-1,-1,227651,735648,273390,-1,-1,-1,-1,-1,-1,-1,477871,514391,-1,567161,791517,-1,829281,-1,-1,105948,78152,-1,-1,-1,112979,-1,-1,891521,-1,380709,502315,218570,-1,464781,952932,607399,308925,-1,644910,586867,-1,-1,-1,-1,732912,954971,-1,-1,897916,-1,365707,279944,-1,502722,589729,-1,-1,-1,-1,250705,-1,-1,-1,-1,849460,617532,-1,343956,391861,-1,370419,481547,680300,858139,772627,-1,393866,-1,-1,186270,-1,169561,-1,-1,482415,-1,-1,402593,-1,-1,845080,-1,237785,820414,-1,87473,-1,256113,931456,-1,608731,-1,638168,651601,326329,695451,138725,293938,991680,-1,389931,-1,614276,673789,-1,11705,149690,-1,-1,-1,571247,487220,-1,707295,920138,-1,-1,948921,-1,-1,-1,-1,-1,-1,-1,979061,252231,740231,-1,988854,389981,175767,272268,324807,-1,-1,558040,-1,-1,-1,301421,177053,62170,567462,-1,519853,312257,-1,384438,832575,-1,-1,980274,222432,-1,-1,916464,-1,-1,-1,-1,-1,-1,309102,-1,8212,487250,-1,-1,-1,463616,316984,-1,745177,-1,-1,880977,-1,-1,714340,-1,124151,854647,871932,594922,516328,499196,-1,-1,-1,-1,-1,382739,238102,454618,-1,42622,685412,109219,-1,-1,-1,782543,-1,-1,833253,-1,206083,338651,424885,528893,-1,492447,-1,-1,275386,-1,798518,662206,484680,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,916810,993698,-1,-1,-1,956186,422645,640427,228540,702009,-1,669035,733571,212052,-1,-1,-1,-1,451128,-1,8019,995153,-1,881639,655054,-1,811346,-1,841193,475919,-1,951107,-1,786488,219879,830794,-1,-1,711292,526816,-1,-1,450599,-1,216485,234803,842991,-1,681801,-1,-1,699501,-1,-1,-1,496607,-1,-1,-1,-1,607979,358262,-1,597914,769871,834997,69822,280448,-1,-1,293634,319385,-1,352589,821252,277651,647163,-1,44851,-1,-1,-1,635746,-1,704896,540961,-1,-1,-1,-1,-1,-1,-1,-1,231678,-1,-1,644407,439386,168525,-1,-1,414734,-1,-1,437549,-1,-1,643589,512649,648996,-1,348325,14971,-1,-1,68361,-1,518120,-1,-1,396082,151974,103208,463801,537557,205584,522075,67821,-1,978785,58685,70949,-1,-1,-1,-1,-1,-1,556302,92978,-1,-1,122023,765065,-1,-1,801366,-1,162174,208857,886653,-1,973317,491565,191835,237731,854849,784155,830283,-1,295254,613130,306935,-1,-1,479860,-1,267388,-1,-1,-1,-1,342524,-1,890195,-1,707835,-1,-1,-1,525846,-1,-1,721112,-1,561873,614727,585223,-1,997172,421069,-1,338070,-1,341755,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,438966,248166,750188,778038,783745,214891,235579,-1,170096,417902,235171,279391,-1,376434,401572,-1,-1,-1,708514,-1,-1,269989,998405,-1,379556,-1,740163,810991,805721,597990,-1,-1,-1,-1,653909,671131,-1,931561,168443,-1,-1,350876,2681,-1,-1,-1,277288,-1,102305,-1,461369,613643,-1,-1,448348,-1,366735,650556,732243,313293,778471,-1,905978,-1,739601,-1,749780,-1,-1,-1,948175,-1,356191,369585,327596,-1,366121,-1,-1,218431,639705,265749,381000,977080,87769,-1,-1,659474,-1,479477,296583,-1,729186,341238,-1,664848,-1,-1,-1,-1,-1,822933,-1,500189,-1,-1,-1,621505,-1,-1,-1,6744,-1,-1,48238,31043,367775,47355,-1,10775,-1,-1,105705,831254,-1,100445,-1,162730,921169,501669,678385,-1,676866,-1,-1,-1,80235,-1,473035,171670,-1,459657,563651,-1,790808,879511,479107,-1,-1,-1,956981,-1,789327,-1,302367,-1,467228,993885,-1,-1,-1,770078,-1,-1,852846,640287,-1,-1,-1,-1,957081,-1,-1,-1,174779,-1,-1,821781,336005,815043,216916,190932,88426,407424,-1,11153,827109,-1,-1,34830,-1,-1,-1,20217,748681,827235,869825,-1,834420,-1,-1,535174,-1,258184,774622,117243,-1,806918,-1,-1,-1,-1,396064,877333,479650,-1,910784,29519,-1,808393,363333,-1,239818,704924,-1,746124,838401,72819,-1,-1,-1,-1,494544,298415,-1,-1,365754,-1,762447,191123,-1,-1,989586,171303,460791,280948,-1,-1,-1,927926,299877,661707,982106,-1,824978,596501,898737,656620,90454,-1,275266,755325,-1,659256,-1,112577,812554,-1,837063,-1,439803,723760,-1,-1,-1,859793,-1,-1,180734,122543,904838,304145,937554,44014,-1,-1,-1,-1,-1,-1,869692,157110,172056,27696,34868,650745,259851,-1,-1,632969,983199,-1,357656,-1,-1,-1,-1,926155,34594,983546,-1,-1,276123,-1,767203,267086,611797,112751,-1,-1,-1,44670,-1,-1,-1,205162,-1,808425,610893,-1,735298,111560,-1,747973,-1,430794,596264,-1,201062,-1,403083,-1,54851,-1,-1,419521,656497,-1,-1,-1,-1,139458,-1,-1,969523,76190,-1,-1,365336,-1,586282,730815,-1,308906,-1,-1,984110,-1,66914,429552,34894,-1,409227,-1,394620,-1,448402,734006,-1,337747,-1,-1,-1,700075,221320,64454,448975,-1,626189,30935,2505,-1,802635,-1,333710,279156,304541,92487,-1,-1,880658,214445,310036,466130,-1,486346,-1,233167,746963,-1,524862,657958,-1,60338,-1,110050,-1,-1,830638,322022,545091,-1,-1,507332,-1,392743,984517,-1,-1,-1,17079,-1,301003,196269,-1,364966,-1,966012,-1,288943,554849,-1,-1,-1,-1,-1,-1,905472,40383,-1,327103,738652,822354,135208,-1,-1,457683,773295,-1,-1,18364,-1,-1,476535,115931,-1,201147,-1,-1,-1,-1,-1,-1,-1,580514,65931,-1,185913,-1,816804,684391,598996,674823,472486,-1,29832,595143,-1,981429,-1,-1,-1,897015,544567,-1,-1,313168,451152,595184,-1,812385,-1,901662,-1,-1,-1,422271,-1,-1,-1,774722,-1,-1,-1,-1,819361,954905,-1,-1,356356,-1,780004,616442,-1,-1,-1,165060,-1,452197,780305,-1,-1,975896,175804,531549,480727,627000,679373,363654,-1,-1,165274,501430,111580,-1,-1,616945,565698,913006,70774,-1,504539,-1,-1,518992,223155,-1,426599,183545,-1,87767,338823,464138,184591,902741,-1,-1,-1,965344,-1,-1,375640,-1,-1,-1,841064,-1,-1,916577,-1,248763,-1,119604,769144,259638,-1,-1,667699,491809,-1,940958,-1,555366,-1,451671,-1,859428,144623,793367,-1,-1,-1,-1,972350,449136,-1,484619,-1,618761,-1,860095,81327,92021,81976,-1,-1,-1,-1,239050,-1,-1,454777,721787,130100,365041,-1,270517,781990,553288,-1,-1,277141,-1,-1,649425,782572,677619,-1,477678,-1,-1,-1,-1,-1,912047,-1,-1,-1,910954,-1,-1,406003,-1,-1,-1,547089,-1,-1,295292,771839,975093,343587,-1,360367,30450,-1,-1,120152,939121,645187,351398,319020,-1,1527,-1,-1,-1,-1,632183,801646,-1,941113,919496,792813,361958,23195,395872,635149,-1,-1,76671,855830,-1,403856,398392,-1,365333,204887,639035,-1,-1,-1,9958,-1,-1,164878,-1,-1,385032,-1,-1,743542,-1,-1,796375,-1,282606,380910,842673,-1,-1,117882,778866,298869,-1,868084,324136,-1,-1,717992,69875,-1,-1,913109,-1,-1,269248,772592,-1,840012,-1,201829,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,94919,928981,-1,193423,-1,165249,-1,580410,304616,-1,266848,774109,44055,-1,-1,-1,-1,-1,54197,760115,-1,-1,15332,-1,-1,-1,-1,-1,-1,-1,386901,-1,-1,666453,-1,288543,-1,560516,-1,-1,980198,-1,751367,-1,237163,-1,-1,442912,-1,-1,-1,-1,289871,909282,929062,811866,485409,957301,515893,-1,668874,-1,949931,181930,-1,-1,71198,336531,-1,-1,724590,-1,-1,608319,-1,-1,184410,-1,208354,-1,-1,464421,-1,-1,280704,946451,-1,888416,-1,891144,476496,414037,-1,903059,694226,-1,-1,524027,-1,353445,11824,-1,-1,-1,340115,-1,946903,433278,776930,-1,219018,-1,-1,230987,988441,-1,-1,117121,-1,-1,-1,528253,-1,-1,233775,470451,870826,-1,-1,905933,712015,-1,-1,-1,-1,76879,-1,-1,-1,-1,286490,813627,866218,558970,349439,698071,576321,-1,991807,880241,398835,-1,896190,682582,-1,-1,412592,530175,534548,-1,-1,-1,682871,582658,704295,40445,-1,968179,-1,-1,129051,266886,708130,-1,347342,-1,-1,82781,-1,-1,-1,-1,334351,-1,309158,712463,790315,-1,-1,463852,930107,299193,615051,-1,-1,755169,21252,-1,939361,-1,468964,910126,-1,522949,-1,-1,572313,-1,558010,-1,-1,973365,990767,-1,154137,-1,-1,336461,95091,-1,195217,195748,-1,10091,973821,879210,-1,990239,725481,425403,251404,-1,-1,-1,810327,-1,-1,357627,492708,-1,597444,-1,-1,56173,181563,-1,-1,500070,10337,-1,993233,264280,-1,-1,-1,720578,-1,-1,610934,416923,352279,-1,553176,-1,113552,-1,-1,462916,-1,316169,867125,205333,392339,198060,962139,722779,-1,918901,-1,-1,28022,-1,120942,7071,-1,-1,-1,290077,-1,702647,-1,-1,113036,-1,-1,-1,-1,999661,-1,-1,-1,287513,811316,115470,-1,860437,-1,-1,184673,607518,-1,-1,-1,697356,-1,261954,-1,615340,825372,-1,-1,-1,-1,-1,-1,183038,-1,-1,576273,-1,775688,-1,384602,62989,902165,-1,639490,-1,-1,770722,636483,-1,937392,-1,-1,132862,470350,-1,625616,429146,-1,-1,-1,-1,664823,-1,-1,-1,-1,70392,587510,-1,-1,226943,-1,2212,-1,81483,-1,-1,384930,-1,-1,-1,-1,866775,315245,643719,-1,479694,-1,-1,-1,545630,-1,-1,-1,-1,-1,-1,598563,-1,-1,-1,757243,-1,-1,65987,175151,458944,968546,-1,-1,436717,-1,521655,823545,41264,-1,-1,717109,-1,-1,137021,-1,-1,-1,689571,-1,-1,-1,-1,-1,484594,533540,27571,-1,662742,-1,-1,-1,-1,811620,-1,-1,457815,266964,-1,790772,-1,-1,-1,-1,832785,-1,431783,-1,-1,594827,110870,-1,745468,-1,232188,-1,306685,723694,-1,-1,-1,645038,591393,893360,795804,-1,-1,488770,-1,-1,-1,879009,508228,-1,-1,183161,533968,643099,-1,-1,892761,-1,720647,845714,512178,-1,201628,934542,-1,-1,-1,103227,-1,-1,-1,-1,-1,-1,639322,-1,35178,150438,-1,-1,-1,753182,-1,445122,-1,-1,75901,-1,728097,-1,802292,324683,-1,605854,-1,521522,-1,-1,753918,-1,669537,801115,-1,-1,-1,-1,298122,657003,580076,971594,787477,717386,-1,957514,-1,-1,209191,967724,677047,-1,-1,-1,524241,-1,-1,-1,888513,60490,255553,260588,621969,240683,993782,-1,156596,-1,-1,228141,752562,640335,-1,517783,-1,845248,921746,184534,739701,897385,-1,941579,671647,735365,330549,456359,-1,-1,-1,-1,-1,176972,689506,-1,-1,328488,-1,197722,870707,-1,-1,-1,-1,-1,924157,374796,687199,-1,-1,991284,449636,-1,-1,663942,755058,-1,73422,157580,930031,201271,-1,-1,860563,-1,-1,-1,-1,202849,-1,-1,-1,643005,-1,528630,-1,-1,-1,-1,886009,543505,155837,-1,902204,257216,805557,940861,326623,-1,-1,-1,777581,-1,891563,-1,383943,934895,95906,-1,-1,112027,-1,859691,610511,354915,326459,708125,308275,-1,-1,-1,58641,-1,-1,-1,87400,388343,818852,536553,98188,-1,438215,333969,348507,-1,-1,760451,774982,-1,-1,-1,-1,-1,652488,907327,-1,716932,-1,-1,701744,-1,720256,-1,-1,-1,-1,561170,497544,782485,-1,554254,-1,487165,492742,-1,499687,394511,683800,386480,927850,572847,615496,-1,10129,-1,908741,-1,-1,-1,-1,-1,-1,55108,-1,408622,871341,-1,81840,-1,-1,-1,228113,829421,813275,-1,-1,366056,705825,817110,-1,809447,180100,241759,217674,-1,506642,-1,570361,291865,-1,176076,640362,965108,544625,-1,-1,357687,755259,-1,956476,576993,-1,-1,740898,-1,714448,-1,331984,-1,-1,264396,903308,-1,725067,167194,-1,889486,469675,-1,938070,274435,494470,-1,828624,-1,-1,176078,-1,-1,-1,766166,-1,-1,403219,-1,-1,561389,-1,695494,-1,-1,-1,-1,493669,-1,-1,-1,280274,-1,-1,-1,-1,-1,686669,-1,-1,808868,242123,-1,-1,589380,-1,-1,150546,964333,-1,867927,-1,108181,407635,679052,-1,516511,-1,-1,396292,542082,545993,-1,29091,800031,257176,248361,-1,707996,909561,43049,221559,-1,66478,-1,-1,-1,-1,221203,609241,197745,182014,506635,680636,997469,424681,-1,947917,659692,-1,416610,-1,-1,-1,-1,43909,577137,529636,-1,527987,739329,50948,-1,-1,892531,176432,133113,-1,-1,871603,315397,80340,848849,-1,546128,671887,-1,-1,496172,-1,268163,259787,-1,-1,-1,-1,-1,220685,675916,-1,-1,-1,33340,-1,-1,660650,20453,830262,645581,-1,-1,-1,-1,436759,519797,-1,789316,-1,-1,-1,-1,391789,807825,-1,-1,291339,478022,774905,-1,-1,-1,-1,-1,730333,-1,-1,-1,-1,17914,120477,61845,-1,-1,555055,117478,410671,355229,-1,-1,-1,-1,-1,4558,-1,827458,-1,-1,-1,107463,-1,176133,-1,829690,-1,962738,-1,450715,231011,603784,249430,-1,574178,-1,227462,892397,856103,691486,-1,990524,221809,462932,678743,146390,304722,836302,681713,518181,211037,276006,307593,848452,-1,-1,274867,997383,696439,41393,559096,43145,638202,458899,758940,-1,-1,729460,244572,930640,-1,490202,667013,-1,966072,320467,-1,291638,-1,-1,-1,-1,-1,806727,781069,-1,29799,-1,777153,-1,-1,-1,-1,-1,725342,-1,542513,105114,-1,64820,173593,234146,-1,785695,270538,402145,-1,586269,307704,-1,-1,-1,-1,119428,-1,-1,78924,-1,-1,-1,-1,54828,-1,651848,-1,644798,-1,-1,-1,-1,74971,-1,85309,880334,-1,195386,-1,-1,-1,396513,-1,-1,-1,-1,-1,176601,430711,-1,-1,-1,-1,995441,205165,-1,-1,-1,398866,-1,-1,-1,-1,-1,739343,-1,287085,53162,-1,-1,783606,-1,902166,-1,456339,845640,-1,975938,736916,-1,-1,-1,128489,-1,863678,-1,-1,-1,644623,-1,698355,928777,131601,666302,627377,174787,75354,-1,671499,-1,-1,65687,-1,-1,-1,949908,335516,-1,-1,546576,807967,-1,-1,585078,-1,172164,555782,122439,-1,-1,301138,609859,-1,424270,-1,-1,768681,-1,752606,274743,-1,168756,-1,-1,-1,-1,679919,-1,466516,-1,656919,-1,62640,199314,-1,562632,357338,965721,-1,290392,-1,509007,781010,793169,407321,-1,-1,988401,-1,315701,360541,-1,47798,814766,463811,-1,-1,264296,43266,823385,-1,-1,-1,317972,71862,935333,168913,-1,-1,-1,919157,-1,940016,845734,-1,429634,-1,340347,-1,-1,976526,734952,-1,673845,-1,-1,-1,411347,464291,-1,-1,108345,723858,-1,-1,-1,-1,-1,-1,231672,-1,277306,-1,736057,-1,-1,874172,4311,-1,730810,-1,475103,133383,559683,-1,818112,235599,-1,644965,910709,-1,586796,353585,287129,-1,170389,494392,-1,-1,-1,-1,-1,-1,945581,896094,-1,160366,577044,363707,195783,-1,-1,-1,313957,-1,-1,-1,767746,543648,-1,-1,-1,558436,470293,-1,-1,674339,819384,-1,-1,-1,-1,458519,359095,-1,-1,514584,-1,-1,-1,-1,-1,-1,-1,640437,417313,921750,-1,534639,-1,-1,589852,117530,58529,-1,-1,487984,-1,-1,-1,-1,578191,-1,-1,-1,-1,228451,993556,-1,66015,594147,-1,-1,-1,820576,275778,630497,986914,249173,-1,373472,-1,653577,-1,-1,-1,-1,68136,-1,-1,-1,872109,485959,-1,836538,-1,625612,392964,-1,-1,-1,-1,216354,724995,-1,-1,-1,433712,-1,-1,-1,-1,312183,187388,-1,-1,218435,-1,-1,915679,769013,-1,-1,-1,-1,-1,-1,543545,-1,-1,695107,407505,-1,231000,-1,104508,-1,-1,-1,859664,572407,362068,-1,233768,66184,846996,627853,507291,269752,236139,-1,-1,-1,559382,-1,998460,-1,357,-1,-1,608467,-1,582806,-1,-1,-1,21769,-1,631951,-1,-1,-1,668851,-1,-1,32500,-1,-1,507745,818339,-1,-1,466431,832532,522429,-1,-1,-1,688386,860872,-1,-1,189219,205691,323970,-1,-1,270040,-1,517328,-1,576322,-1,-1,-1,175245,907140,993670,-1,-1,-1,-1,176741,-1,456101,-1,-1,-1,114256,-1,-1,-1,947061,-1,970227,-1,-1,-1,-1,-1,407602,324776,-1,-1,690599,725909,-1,-1,508730,-1,-1,-1,734247,-1,952043,-1,737204,-1,-1,440658,665027,150972,319335,678592,858393,692167,-1,-1,948987,-1,230531,-1,417384,-1,-1,-1,431222,143612,475782,-1,447865,-1,-1,355543,103350,-1,-1,314338,-1,707769,168077,85458,-1,-1,-1,120183,-1,-1,923110,214199,872545,959993,756280,362260,-1,424374,-1,275507,792498,-1,-1,-1,256168,-1,-1,688860,-1,-1,-1,-1,-1,943623,290487,582640,-1,-1,-1,-1,-1,-1,-1,-1,147203,322521,950147,817389,-1,-1,450776,995798,257933,910508,-1,-1,216403,777405,994136,185462,-1,-1,-1,-1,77863,-1,-1,-1,-1,-1,240146,-1,-1,852945,-1,-1,-1,-1,-1,-1,941805,-1,-1,-1,-1,136645,-1,-1,698854,-1,-1,-1,723935,-1,-1,-1,-1,-1,-1,207556,506700,-1,671998,-1,-1,-1,519099,-1,32679,-1,360448,813918,676755,-1,-1,-1,780849,770225,730082,689108,58176,-1,-1,742802,-1,961616,810659,-1,-1,-1,120886,91481,-1,-1,585858,-1,-1,-1,467309,845834,-1,536676,-1,-1,-1,-1,-1,163404,-1,893057,598608,-1,865180,-1,257312,-1,-1,-1,-1,-1,-1,-1,192516,-1,-1,377546,126155,-1,-1,-1,801823,731134,744923,902100,543392,220192,-1,226276,-1,369967,915083,233086,-1,-1,-1,-1,-1,69149,837433,300357,-1,-1,253489,-1,-1,-1,-1,-1,142535,752970,-1,932236,250724,345612,-1,649013,605843,765644,206560,-1,-1,675838,733119,-1,823307,-1,111451,-1,67259,209792,147236,581891,-1,590651,945596,-1,-1,-1,469523,-1,911506,473083,72945,-1,92304,-1,-1,-1,-1,840955,-1,-1,-1,-1,-1,505114,618278,-1,-1,500342,11750,-1,893728,-1,825181,326339,529311,959336,-1,857909,484913,707416,997747,-1,-1,725256,208998,215971,-1,-1,574877,-1,717779,948326,-1,19028,327744,702055,224944,915309,-1,-1,-1,86185,813852,682029,855730,-1,-1,836817,-1,747615,-1,683918,407489,234855,319839,-1,916960,34424,776243,-1,-1,211783,868952,-1,538176,-1,-1,784023,-1,864246,-1,724947,254860,-1,-1,59637,669269,851758,192583,463559,-1,870118,41254,766202,147952,-1,-1,591469,-1,-1,-1,86579,-1,-1,-1,-1,-1,-1,532201,-1,-1,161698,-1,965363,327533,551662,-1,-1,73580,-1,515759,-1,-1,-1,-1,478968,-1,788612,-1,-1,146479,-1,541206,-1,-1,939929,-1,-1,-1,-1,505635,170727,811728,919351,371988,-1,820805,69553,-1,-1,-1,88018,124283,-1,620791,-1,529568,884512,-1,-1,-1,-1,894346,26211,10544,979926,792749,911726,803369,972456,-1,338601,-1,-1,-1,-1,-1,69494,-1,713989,628971,760752,-1,-1,637114,389848,-1,46658,-1,956096,-1,-1,247243,-1,370614,-1,152333,937253,-1,-1,490440,865504,612466,774283,-1,-1,710295,-1,486314,286663,-1,360334,326408,-1,-1,-1,-1,-1,-1,13635,-1,-1,128402,-1,-1,760297,-1,792758,312098,-1,931212,180984,-1,445734,-1,-1,-1,629329,745452,-1,875564,941684,-1,224369,5745,446912,-1,25209,-1,2182,26334,426806,-1,-1,-1,-1,-1,-1,716962,248163,929763,-1,-1,-1,-1,568567,551980,-1,163172,359596,70040,-1,247467,-1,183232,263518,606730,881370,-1,-1,-1,-1,584940,820254,-1,-1,569428,598714,483963,-1,422379,-1,-1,648723,-1,48844,971398,730997,215678,647968,-1,-1,-1,-1,323484,-1,-1,-1,-1,84163,-1,220272,452561,309222,838882,-1,-1,-1,387477,-1,263508,-1,839239,241714,521213,-1,-1,963259,574762,-1,-1,-1,552498,300485,-1,-1,-1,-1,274106,-1,645311,-1,689340,-1,-1,-1,441469,521242,-1,-1,-1,-1,925301,653477,-1,67871,-1,-1,-1,745623,268313,721264,357355,237820,419510,-1,863066,414669,158066,413550,-1,931040,-1,-1,730636,547924,889287,-1,383395,-1,759187,-1,-1,-1,-1,769379,-1,37439,864564,-1,294749,-1,-1,552497,-1,-1,-1,-1,630803,13091,-1,678023,-1,794858,-1,172086,-1,666940,-1,658944,-1,492854,118496,423099,-1,740912,672872,209135,-1,-1,217158,93076,-1,-1,516684,-1,-1,-1,259522,-1,711029,-1,786398,857877,629193,-1,-1,880945,982701,371561,719057,-1,-1,772620,-1,-1,755562,634912,-1,781087,44918,837580,-1,998082,-1,829775,-1,-1,555775,647451,880999,565258,-1,-1,-1,293588,-1,-1,-1,518078,-1,274203,537270,-1,-1,-1,-1,-1,-1,915817,-1,548091,248156,-1,931329,706785,173738,755620,784695,311322,-1,284382,-1,288062,-1,135168,-1,101905,-1,-1,-1,-1,453036,-1,238866,-1,917493,-1,-1,436140,-1,475511,-1,-1,-1,196220,-1,-1,-1,-1,-1,-1,275424,-1,303381,-1,-1,909710,-1,490752,897227,393026,631184,78404,806843,843371,801409,713220,239966,553187,249276,165084,495287,-1,-1,-1,605690,-1,-1,631766,-1,-1,-1,157330,-1,788715,-1,-1,724474,99210,231256,-1,827396,842701,-1,-1,327126,245911,268393,-1,-1,-1,-1,-1,861038,466519,-1,563736,952416,-1,54224,3302,341086,344464,153847,-1,4915,722970,-1,-1,-1,-1,114180,409200,14203,-1,-1,202391,760711,105175,200244,-1,-1,-1,-1,551721,-1,-1,57639,-1,-1,-1,710094,-1,-1,-1,-1,-1,367665,-1,946087,-1,99374,300645,937271,-1,-1,-1,938625,-1,509414,708889,-1,-1,321878,-1,-1,-1,-1,-1,218743,648782,-1,118265,-1,114408,-1,16321,-1,120016,628141,-1,-1,-1,615514,66702,384098,514482,383360,694471,124906,-1,730832,102803,716440,-1,808739,-1,-1,485321,-1,835870,92826,-1,-1,-1,671328,-1,-1,909666,245276,-1,995302,823373,932389,689572,322006,-1,-1,-1,-1,390250,179452,-1,-1,296846,-1,752714,-1,724694,257304,-1,-1,-1,647219,905863,-1,647708,-1,162841,-1,-1,-1,357588,-1,-1,2084,-1,842553,-1,-1,530414,-1,-1,904286,-1,599045,-1,-1,840620,-1,996274,189584,330904,-1,-1,116600,442205,-1,-1,249543,594986,-1,-1,-1,988403,329353,371653,-1,498911,-1,844611,909936,996277,-1,892785,215194,82577,182926,56794,861773,-1,-1,128104,-1,544785,364438,260605,-1,-1,806435,-1,-1,637314,500093,220371,-1,615290,14982,525518,989807,976458,344345,-1,243408,573750,-1,973611,986563,292933,331857,-1,-1,-1,-1,412233,674000,265662,-1,-1,-1,385660,-1,-1,-1,-1,359789,-1,777768,-1,-1,364146,-1,-1,-1,-1,-1,130199,104746,-1,499596,851095,985139,-1,49544,-1,-1,-1,892933,-1,456752,257875,-1,-1,-1,-1,-1,855451,952356,79965,605044,-1,623913,-1,-1,16266,-1,417518,-1,-1,-1,866178,99749,-1,-1,-1,397460,551062,-1,-1,120046,870876,532256,587500,61938,597329,361253,-1,-1,375101,844502,-1,950658,-1,-1,-1,44217,606379,-1,922449,181684,43405,323230,-1,182571,729748,688253,-1,-1,-1,76147,-1,-1,523743,-1,725362,-1,-1,-1,827528,781243,22223,-1,92619,-1,377629,-1,747583,-1,-1,-1,841724,308339,631634,448409,95833,-1,719848,-1,29225,114529,717877,-1,626524,666505,771687,416299,108471,729344,-1,-1,38836,488068,-1,940565,786318,-1,42481,-1,-1,-1,222899,-1,396258,-1,-1,-1,955976,-1,877745,-1,-1,181380,298655,193731,-1,371170,142263,-1,910016,-1,805382,-1,-1,-1,818850,590996,46313,-1,-1,-1,-1,-1,585423,942250,302885,150669,-1,-1,-1,-1,782358,217722,-1,-1,-1,100213,232856,-1,-1,828241,-1,462787,752838,-1,-1,400580,590206,228864,153899,-1,287213,599077,960461,542879,484967,-1,-1,719521,-1,-1,803666,-1,785341,-1,115211,-1,570987,-1,642153,-1,154209,158861,399244,75679,688551,-1,-1,441157,500230,-1,-1,800765,292512,-1,288672,37762,779928,-1,-1,973841,328505,272031,-1,-1,-1,-1,-1,-1,631653,834669,564267,-1,149068,94532,-1,-1,581256,841321,115961,362679,28178,-1,-1,-1,288042,329338,-1,890333,950541,908241,-1,308225,128562,-1,238545,-1,697815,-1,843002,-1,201383,-1,-1,-1,-1,17159,-1,-1,146727,-1,563417,728091,-1,-1,986830,-1,-1,323328,666102,554256,-1,-1,485042,-1,838239,-1,883742,-1,359410,861874,726286,284659,-1,448601,524786,-1,872827,-1,113271,63421,-1,-1,475744,-1,154279,-1,-1,561014,394842,496648,245614,392971,-1,-1,-1,-1,-1,753526,670368,-1,-1,-1,933551,791213,107890,273873,-1,639380,801685,-1,916415,816575,971494,176374,-1,227615,-1,-1,861851,171142,-1,748276,511617,-1,305179,568200,708247,-1,880648,-1,-1,-1,-1,-1,521161,-1,746746,392899,242487,448445,-1,-1,873364,4916,-1,-1,166187,318229,890533,362382,342439,-1,-1,688186,900097,683996,-1,375663,-1,-1,-1,-1,263014,-1,-1,-1,967160,943256,385322,-1,47107,-1,-1,-1,913830,340740,-1,522068,975011,7987,-1,348398,270952,-1,766925,-1,284801,-1,338986,128561,18538,-1,571464,-1,392976,-1,-1,-1,-1,-1,-1,-1,495190,-1,54775,-1,-1,109025,678306,456580,448260,882986,-1,930613,312323,-1,-1,-1,-1,-1,-1,417990,-1,-1,-1,-1,887535,354412,728656,468794,794353,-1,-1,-1,419661,-1,-1,91736,453820,996843,-1,535398,-1,-1,16593,-1,-1,956402,-1,49151,864674,429172,538027,171651,68377,621211,10347,-1,-1,821487,-1,-1,-1,-1,-1,-1,-1,-1,-1,478932,367874,797226,-1,-1,-1,-1,-1,5644,-1,-1,393037,115501,-1,-1,373964,-1,-1,883639,347889,-1,521219,-1,-1,649663,-1,496019,868234,549347,-1,676986,743484,-1,36057,341116,448347,-1,-1,105864,-1,898657,212970,-1,483706,-1,311414,-1,326782,-1,-1,-1,-1,-1,283226,674025,-1,683245,-1,822472,-1,-1,965778,17777,-1,927800,-1,728538,-1,502163,848902,-1,305673,699064,-1,400936,-1,-1,-1,207196,325798,68859,719985,-1,-1,239192,-1,93527,-1,163927,987788,-1,606701,-1,967673,-1,-1,856149,-1,-1,901998,-1,-1,635957,303136,13566,535901,-1,875085,445215,289272,144717,-1,-1,-1,379446,-1,-1,-1,-1,826933,-1,-1,858435,-1,-1,836438,6950,-1,797992,942929,300552,-1,736293,742965,-1,697890,768531,303459,-1,238917,305039,931611,233700,-1,194586,477174,623159,-1,-1,-1,162634,21183,205706,-1,784615,365499,546295,495400,-1,154292,-1,100908,-1,513804,285883,-1,785294,397907,-1,775469,68354,-1,744005,-1,419962,931484,-1,692576,894497,-1,973964,-1,106136,243753,-1,-1,-1,-1,-1,-1,976243,562733,-1,-1,986592,-1,-1,-1,-1,849639,-1,325299,828455,-1,269793,-1,989189,-1,-1,-1,-1,944318,-1,-1,134866,-1,-1,191443,13704,-1,-1,187376,619035,-1,290119,671868,858956,-1,79646,817780,700112,72933,941605,698363,-1,663750,364965,-1,399708,122142,-1,556511,-1,-1,1129,-1,331592,948380,871518,355689,-1,778902,-1,508264,401908,207362,372706,-1,726523,-1,637619,760834,-1,350612,-1,-1,-1,286239,41813,265725,476159,894551,776012,677313,403540,-1,-1,405855,354072,188908,299405,-1,883635,676276,-1,-1,-1,-1,488516,428872,-1,-1,-1,645662,-1,779654,771928,-1,934574,298513,-1,-1,-1,134864,300727,-1,429556,-1,711394,154163,-1,-1,-1,119578,674366,479096,-1,-1,899550,-1,-1,200381,987877,9533,774538,249734,719295,-1,83769,890464,-1,954291,-1,-1,-1,597260,302958,576430,-1,22009,923867,-1,-1,-1,114284,-1,563332,-1,-1,196028,10375,976897,-1,-1,-1,-1,-1,379548,35087,-1,867322,107198,-1,-1,490259,-1,778022,-1,325513,654607,-1,-1,-1,945211,580432,-1,-1,363275,-1,580253,-1,-1,381155,771065,-1,-1,-1,-1,49913,-1,-1,861270,669348,299278,-1,-1,303870,534804,-1,-1,735488,880725,153686,82409,169239,945809,-1,427147,-1,493378,-1,857812,329980,-1,416001,-1,586259,-1,949540,549948,497323,-1,434490,800833,-1,-1,313431,-1,-1,-1,181345,395235,685421,-1,616153,-1,-1,-1,-1,-1,766706,-1,395271,269039,365131,-1,-1,452140,423937,-1,109683,845625,-1,-1,805406,-1,469530,-1,76736,-1,341141,654639,-1,458028,-1,-1,772911,624467,-1,-1,-1,-1,-1,-1,151976,-1,857730,-1,588569,563604,-1,846460,-1,-1,-1,-1,848054,-1,765437,-1,-1,541038,-1,-1,-1,945632,677501,-1,-1,455456,84151,-1,366464,974395,42266,-1,633648,338699,-1,-1,40844,912967,624422,-1,-1,-1,-1,-1,163147,-1,-1,-1,500002,-1,949019,669786,465228,-1,-1,-1,-1,-1,-1,-1,300507,225805,397685,921668,-1,-1,-1,264649,235871,935930,950602,-1,327316,505486,-1,-1,335244,848426,357731,384316,-1,439079,127408,639589,-1,428849,33355,-1,-1,196347,289285,951334,526606,-1,607211,459457,575795,355502,15116,612938,453744,-1,298690,174554,-1,-1,-1,-1,765710,542383,300252,-1,-1,11470,55829,-1,-1,-1,-1,-1,-1,897619,-1,708628,-1,-1,622426,470353,171729,-1,-1,811932,567056,222028,-1,-1,-1,-1,-1,-1,403006,108097,-1,-1,-1,756695,-1,743063,9476,-1,-1,-1,312721,-1,-1,575582,-1,258427,386235,857731,437919,716682,-1,-1,-1,-1,-1,2590,858027,105220,-1,72101,-1,-1,-1,-1,597262,-1,99366,116095,-1,-1,226983,-1,750121,-1,575865,600037,-1,-1,736569,282086,-1,-1,-1,94447,-1,-1,-1,687606,116759,-1,641277,-1,712887,-1,-1,685780,-1,-1,-1,-1,605755,-1,912759,708291,849365,-1,128756,62497,804703,-1,-1,-1,940184,151911,-1,73521,-1,440323,179543,-1,-1,589193,992092,-1,-1,-1,42598,-1,816036,553347,686104,225394,438426,-1,977576,55717,451367,-1,997973,-1,-1,-1,147417,-1,-1,-1,-1,-1,822587,677795,-1,812471,-1,856198,-1,690497,315520,197987,756386,-1,-1,-1,-1,447725,232335,-1,447707,521181,-1,761800,-1,-1,-1,844724,-1,-1,948171,-1,-1,191245,-1,-1,-1,471393,705023,-1,-1,234079,-1,-1,48780,688548,572434,560900,-1,-1,-1,-1,332850,531914,493150,564634,609433,-1,-1,9466,205708,-1,898390,104914,-1,382002,740521,666039,317102,239781,735390,-1,-1,-1,853947,-1,-1,216121,-1,754223,21014,880327,928470,-1,-1,666765,850978,-1,-1,930261,-1,342927,-1,-1,-1,-1,-1,207108,-1,-1,767969,-1,-1,410608,-1,-1,797970,-1,-1,612222,604734,942709,516760,874879,-1,59237,-1,-1,577584,4079,-1,-1,210492,77851,-1,-1,654663,-1,-1,-1,452940,832837,609444,118784,93188,-1,-1,-1,-1,314938,-1,-1,-1,579008,-1,-1,526164,147114,76184,-1,583399,974726,810884,-1,-1,-1,-1,122867,816815,288662,-1,233932,151942,-1,-1,-1,220168,-1,658384,-1,-1,-1,-1,-1,194424,546703,596277,133582,-1,-1,445038,-1,990859,507937,330526,865805,-1,761250,424236,-1,-1,-1,826983,-1,627141,687196,-1,-1,-1,-1,-1,-1,486555,468004,200921,130033,841410,94557,-1,312200,930801,-1,716678,-1,-1,950739,952538,261230,873267,461583,442371,222154,-1,-1,765146,-1,-1,597464,-1,612348,224221,647438,574177,-1,-1,111632,821133,321287,-1,205953,26053,-1,637454,15632,283806,165966,-1,-1,163409,-1,-1,896277,-1,-1,-1,433514,829242,910530,-1,-1,-1,22317,-1,-1,462145,715355,-1,-1,352417,65060,425017,463064,917589,947853,557594,811490,-1,230359,265631,-1,-1,138492,312501,-1,-1,-1,325319,-1,-1,-1,-1,574881,-1,-1,-1,-1,108061,-1,-1,-1,468476,-1,-1,230219,784503,-1,355983,226667,261845,-1,963109,-1,380129,-1,-1,-1,672868,-1,151790,-1,-1,-1,359042,753314,-1,-1,-1,-1,-1,-1,396806,793840,420925,-1,480460,556709,602595,782991,977722,-1,-1,-1,374642,-1,-1,755203,-1,-1,-1,-1,85826,779478,-1,-1,-1,995644,643450,211027,898370,-1,993630,-1,-1,-1,-1,91247,-1,291386,653388,139606,51492,-1,163767,-1,104718,943270,-1,251884,-1,-1,205486,119647,-1,-1,-1,-1,-1,937083,-1,343815,675329,358507,50206,-1,828830,300844,102585,27037,-1,-1,547894,-1,-1,948323,-1,-1,-1,-1,-1,-1,819676,997654,-1,-1,-1,169898,595407,-1,954347,812794,972857,610342,-1,656721,990491,982116,242222,901354,-1,-1,476564,264668,-1,185741,210247,274923,852366,894403,-1,-1,-1,159401,-1,274049,-1,-1,337085,57299,496259,943791,-1,770744,-1,728135,-1,-1,682495,441043,-1,527065,-1,916943,599970,347861,-1,909372,666388,999715,586211,939826,-1,754540,847599,317043,303242,519721,-1,-1,683639,-1,-1,91986,716292,-1,-1,557595,-1,-1,-1,-1,282858,919625,843023,40380,-1,-1,763069,155096,-1,764491,-1,879370,-1,835360,381878,-1,476485,47944,115558,-1,-1,-1,-1,385590,812999,66359,66436,983498,774490,136628,-1,513343,-1,-1,347658,-1,268787,188371,-1,528561,102716,108984,-1,345352,-1,9407,17044,-1,-1,368271,848175,290001,-1,-1,401450,-1,118870,14474,-1,500275,-1,104716,-1,-1,-1,-1,972177,926564,-1,-1,-1,-1,167678,566657,702662,-1,309729,-1,-1,-1,-1,266970,-1,-1,62572,-1,500617,-1,230809,390031,539633,94397,-1,60660,-1,-1,-1,867198,795712,357833,-1,-1,-1,538706,-1,-1,83012,-1,-1,-1,-1,715924,455429,827325,-1,-1,613825,-1,-1,198341,-1,68868,-1,-1,-1,627444,635296,-1,927021,-1,24253,-1,855578,-1,777427,-1,985371,-1,301255,-1,934116,-1,277166,83736,-1,170516,293828,-1,-1,75853,737449,789512,-1,-1,-1,-1,-1,532428,-1,338291,602593,-1,-1,512660,484729,-1,-1,674685,-1,-1,595446,-1,809692,-1,-1,-1,651462,-1,835709,174822,-1,570844,584535,-1,358183,-1,636611,318916,-1,37772,560703,995139,-1,59652,-1,662832,944606,915997,-1,778678,-1,403876,50406,607289,-1,588325,-1,-1,-1,79864,-1,-1,339558,557578,-1,657348,-1,566054,-1,413561,-1,284213,715402,-1,-1,-1,322286,-1,-1,526035,-1,93646,-1,-1,402576,659248,-1,-1,90886,560509,387644,10295,-1,710032,-1,773704,-1,359024,-1,883446,-1,-1,613770,548460,731654,-1,266791,433216,337366,-1,-1,227266,-1,-1,419973,432438,-1,-1,697260,223434,-1,193534,747735,-1,-1,223064,575234,-1,349396,843110,-1,-1,200237,203615,14585,-1,-1,3744,178106,-1,-1,594392,-1,-1,-1,-1,648462,-1,-1,272870,313031,771606,-1,225626,145304,349970,452226,-1,-1,-1,-1,918248,609372,-1,-1,-1,403627,-1,-1,919881,-1,56865,82167,882073,42674,706917,518578,-1,989585,-1,-1,918982,263909,-1,885983,769720,-1,97012,-1,-1,763481,-1,19586,947740,167477,-1,-1,-1,91117,582316,317133,761047,-1,-1,312835,609073,448344,174045,-1,-1,664942,496488,-1,255716,878841,997346,-1,322189,-1,864730,37899,683208,-1,-1,541085,17606,-1,265209,-1,-1,577281,-1,-1,466439,17747,-1,-1,-1,-1,380588,608092,864799,712743,-1,-1,231908,-1,916345,741851,-1,-1,850944,705123,829027,945527,-1,280655,-1,707973,589967,-1,-1,-1,-1,-1,-1,-1,-1,75002,709812,-1,353780,470121,493262,604362,422758,662687,-1,-1,562315,-1,632568,-1,-1,-1,602565,984931,-1,-1,317957,652007,-1,115169,-1,931139,866760,16305,-1,-1,-1,-1,78844,-1,335724,80843,-1,261778,18383,-1,755894,673700,-1,-1,60589,62076,346719,-1,336453,-1,-1,-1,190068,316767,-1,-1,492220,661766,-1,-1,673662,804012,125415,137050,-1,-1,-1,963534,-1,-1,374467,-1,959256,392343,-1,909889,790700,533634,-1,-1,-1,-1,821650,-1,119282,822735,-1,420587,406773,531533,778071,904140,-1,-1,-1,-1,-1,41645,853703,400611,-1,989560,-1,-1,-1,798111,-1,-1,-1,-1,449484,922954,-1,-1,658705,-1,-1,731900,-1,752588,-1,478722,-1,592689,760093,202130,596459,341367,-1,-1,-1,-1,493539,-1,-1,556670,977385,-1,-1,26008,-1,744132,457208,420646,611635,-1,65621,-1,51605,173687,980869,984474,761831,-1,259838,-1,425104,-1,535973,-1,-1,105913,240376,555843,-1,-1,-1,920525,123643,557888,689663,-1,-1,-1,810612,-1,-1,-1,552932,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,87678,489361,-1,-1,829574,-1,-1,-1,-1,954565,59145,-1,-1,-1,424958,686765,-1,-1,-1,-1,-1,-1,-1,-1,-1,258819,-1,818218,807113,-1,711325,-1,771639,-1,-1,-1,-1,-1,426415,621951,-1,430816,-1,-1,148346,194073,-1,337634,-1,257464,-1,-1,105230,139801,-1,769252,-1,-1,-1,744023,-1,115504,-1,741040,-1,236234,614253,97218,8368,698603,763082,212150,-1,808277,-1,-1,-1,143007,383645,326426,-1,-1,888113,928769,546534,-1,-1,-1,755895,346949,-1,493594,356251,-1,673147,-1,-1,-1,-1,210300,-1,397388,-1,242677,567001,485226,497997,26805,391374,-1,545451,741685,-1,-1,-1,-1,-1,672000,-1,430296,974880,248890,-1,58216,903011,-1,-1,422577,897042,230748,958541,530564,-1,24720,-1,-1,-1,-1,566271,-1,-1,776516,-1,-1,-1,615412,-1,680988,-1,479803,250363,-1,-1,-1,22396,-1,163885,-1,540359,-1,285341,158281,-1,37853,743067,290793,-1,-1,92347,998683,818690,-1,-1,237154,854368,-1,210124,-1,310715,-1,921465,-1,-1,555587,949340,24193,239732,-1,476749,-1,586635,444065,-1,155836,-1,-1,51013,-1,-1,-1,-1,-1,-1,134656,555406,24232,566986,59047,-1,686961,-1,794768,-1,133091,-1,31276,977224,-1,-1,249153,-1,-1,-1,-1,307188,179038,-1,-1,579286,243715,458946,-1,-1,941233,-1,456442,-1,-1,293600,-1,-1,-1,-1,41464,424768,576833,29235,-1,-1,305889,-1,-1,148189,-1,800254,-1,-1,152448,-1,-1,-1,-1,979291,754922,232758,310872,141202,185543,230050,-1,37725,-1,-1,-1,-1,603672,835053,-1,138176,301732,472805,174009,144147,986042,-1,-1,-1,-1,-1,-1,-1,-1,501153,-1,880347,-1,559441,-1,-1,854065,-1,-1,-1,-1,-1,-1,-1,556388,-1,-1,-1,549239,728160,-1,307933,-1,-1,-1,-1,646113,-1,567898,411681,573046,-1,339553,-1,-1,-1,-1,-1,164850,-1,-1,355708,386548,555520,-1,-1,-1,192345,-1,-1,686092,256004,631618,545231,-1,-1,285391,507300,-1,-1,852717,398958,-1,-1,241725,-1,820756,-1,455541,-1,-1,-1,781748,-1,-1,-1,-1,547241,-1,242216,589644,-1,594404,42479,-1,-1,-1,941069,-1,-1,-1,930600,-1,114589,-1,-1,-1,600941,264604,-1,-1,372197,642984,217526,-1,875942,-1,757021,583776,-1,-1,-1,843454,798729,180508,836973,556376,-1,986226,999805,980914,-1,834439,-1,-1,423567,353156,-1,-1,235984,-1,228635,400296,-1,439766,-1,820600,898210,310792,-1,-1,-1,417669,323507,512450,723591,-1,-1,56596,-1,938404,301806,-1,371299,458855,-1,-1,331238,-1,379863,248296,132280,-1,205001,-1,-1,948874,922156,-1,948385,135518,828156,794031,443244,-1,787842,107390,-1,-1,-1,289387,-1,701968,-1,448121,684055,786641,945170,-1,866918,871554,156524,965955,290714,514655,-1,828023,-1,-1,-1,364889,448904,-1,-1,-1,-1,967809,404248,851710,421100,-1,754508,815336,609792,724113,-1,218427,-1,-1,-1,-1,-1,-1,-1,-1,-1,569485,733389,870102,-1,664674,-1,979052,-1,-1,-1,711708,602181,-1,-1,-1,-1,590695,234387,993907,-1,-1,617877,432043,-1,-1,-1,366570,-1,-1,204564,125261,-1,-1,-1,-1,-1,-1,6206,454367,-1,511963,374876,-1,-1,-1,286221,873097,-1,749503,-1,-1,-1,414278,634970,591223,199184,-1,984737,71366,-1,337804,891667,213750,-1,-1,855559,600967,-1,-1,-1,928023,-1,809462,-1,-1,-1,-1,-1,207616,-1,801051,495689,331837,-1,233618,550318,478609,-1,858441,-1,532041,872178,46430,436060,-1,23251,843364,-1,-1,-1,-1,756881,-1,-1,402017,793577,-1,14121,869153,731768,-1,287740,-1,714384,-1,-1,-1,-1,301514,-1,-1,-1,-1,717449,-1,322069,-1,-1,-1,-1,799720,389785,-1,-1,520648,-1,802190,10004,-1,779069,291030,815331,-1,804520,-1,500837,-1,486684,953562,-1,-1,-1,-1,818814,662527,-1,-1,879427,899732,-1,964096,712549,630921,558355,-1,515570,-1,260438,-1,-1,-1,963401,-1,-1,659682,83532,425365,-1,873314,638439,603068,232723,280000,648887,339711,-1,-1,-1,264014,228581,-1,717964,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,929917,-1,167249,932732,885844,-1,174708,182731,-1,-1,574180,-1,-1,640065,951110,-1,338921,-1,-1,-1,-1,486156,-1,-1,-1,-1,-1,450713,-1,-1,705351,682765,177091,22971,-1,51815,751050,450191,485646,-1,-1,-1,603419,146979,316589,862241,-1,572645,51746,-1,-1,-1,-1,-1,-1,931937,538402,-1,130609,276369,449751,132533,578413,-1,82580,-1,-1,-1,-1,-1,632131,-1,-1,-1,-1,988568,930058,-1,-1,-1,486243,984990,-1,651916,-1,292997,653089,113361,413764,229644,-1,-1,-1,709459,-1,-1,-1,-1,-1,-1,-1,-1,-1,672419,534719,-1,734786,102591,-1,-1,-1,-1,-1,-1,383990,-1,197905,-1,-1,726290,-1,-1,338190,876121,-1,582705,-1,-1,-1,254676,37341,-1,-1,-1,564221,-1,664514,-1,-1,81098,-1,-1,-1,-1,573954,-1,-1,-1,651333,437580,585594,-1,-1,-1,-1,-1,946443,334159,24607,561007,-1,-1,936345,-1,-1,588603,-1,201203,-1,232615,912199,463985,841394,909670,695244,702768,-1,-1,123004,-1,-1,379959,291829,37598,356747,33412,-1,302220,-1,-1,243171,110480,63710,-1,-1,-1,750150,-1,51770,-1,94835,776964,859323,152035,41849,-1,-1,-1,807057,866163,681390,-1,419091,286489,606127,-1,433937,938817,-1,564354,216148,465137,-1,575406,879829,-1,208703,-1,-1,-1,-1,536687,549938,440731,-1,575911,-1,-1,13756,890186,-1,-1,873637,927040,893987,304553,672342,928435,-1,-1,881741,744954,680453,-1,-1,786634,-1,-1,-1,192908,-1,-1,855791,-1,359669,245354,557573,627129,553384,-1,413031,513957,768378,782032,-1,598569,624372,60878,24999,381210,510478,993312,338683,330707,-1,-1,-1,20471,350805,-1,447928,-1,-1,16528,-1,199907,779720,821304,-1,44769,-1,-1,757768,-1,824993,346339,-1,-1,-1,548887,889776,-1,-1,246817,774070,-1,228078,285434,843279,-1,-1,-1,666536,-1,-1,-1,620849,-1,604377,-1,-1,-1,-1,-1,-1,-1,746876,528289,581184,469853,633883,-1,30179,924496,40016,-1,-1,-1,553498,-1,-1,634669,-1,-1,-1,617324,757415,-1,-1,-1,-1,-1,-1,897487,-1,352522,-1,-1,-1,593603,-1,332744,-1,-1,331471,825995,346146,-1,47217,396191,-1,821606,510017,-1,-1,-1,-1,-1,-1,876785,-1,-1,-1,763662,979422,-1,174634,436006,-1,229738,974721,-1,-1,9926,407792,909943,26191,-1,975202,184603,707151,422887,-1,-1,-1,-1,-1,180900,-1,660794,-1,585752,-1,-1,-1,-1,-1,-1,638585,-1,-1,-1,-1,191908,156093,461912,-1,129217,451417,606617,-1,209911,3269,-1,-1,425225,-1,-1,-1,-1,-1,536367,686088,756701,955545,327901,313709,-1,801754,-1,122825,-1,-1,900844,-1,968034,-1,-1,-1,-1,-1,-1,-1,-1,194025,-1,106826,817491,-1,-1,721757,-1,565582,845392,381222,631220,-1,-1,-1,-1,601441,704599,-1,2193,233898,641361,402104,440595,19982,377082,986264,-1,-1,390660,684651,-1,-1,-1,-1,-1,864272,545159,502171,-1,-1,-1,23160,220691,401128,727665,309676,618824,893804,-1,147092,306219,-1,697157,-1,-1,-1,367210,-1,-1,747667,543715,220273,343118,57715,-1,-1,709202,-1,-1,566432,511913,291737,91712,885998,163482,-1,-1,-1,26769,-1,350936,-1,-1,-1,628047,-1,178157,290864,-1,356403,-1,485014,-1,661281,429753,378180,814012,-1,604697,-1,-1,-1,-1,431822,-1,-1,-1,-1,547212,-1,452203,-1,110213,429500,-1,-1,256079,-1,467898,-1,-1,-1,-1,-1,-1,-1,339826,506044,-1,-1,-1,-1,246902,-1,859681,804170,-1,691688,-1,-1,311176,159265,-1,-1,603674,371378,-1,65834,-1,715976,460909,-1,55642,337659,-1,192912,480100,-1,206742,-1,965989,-1,403714,379499,-1,838311,70121,-1,926288,24096,488877,-1,428108,-1,123426,824622,-1,530068,-1,785450,-1,-1,230931,29831,218323,-1,-1,-1,881588,926609,112650,-1,-1,428534,-1,-1,121669,693611,-1,-1,-1,-1,-1,26165,-1,511708,-1,63213,-1,-1,840814,-1,-1,-1,-1,58533,-1,-1,-1,-1,-1,393930,-1,802672,-1,482487,397282,-1,-1,940905,-1,-1,-1,-1,955595,-1,-1,-1,-1,-1,-1,510022,676198,87951,-1,-1,740010,989735,-1,295001,-1,81649,-1,840377,-1,-1,-1,-1,399980,-1,-1,-1,19354,-1,30971,389830,750295,147429,128205,836874,-1,-1,483849,41379,407534,957154,602498,-1,617128,183455,253741,845803,-1,872857,-1,-1,-1,-1,-1,-1,-1,140496,-1,-1,377762,184003,-1,-1,-1,347124,645534,738269,-1,-1,-1,257219,454363,923459,-1,-1,966375,-1,230363,-1,-1,-1,-1,-1,-1,-1,-1,505090,-1,744781,879431,-1,-1,-1,614784,644949,18626,704478,-1,-1,-1,114972,291670,524001,-1,-1,-1,-1,698661,753434,-1,490587,463237,-1,744538,940112,-1,95723,359531,673111,-1,-1,964688,989617,-1,-1,-1,-1,592252,-1,-1,-1,586569,-1,-1,915780,-1,787747,-1,444401,431,-1,-1,388862,-1,-1,732082,-1,-1,233004,-1,-1,476153,-1,-1,407380,-1,-1,669805,586577,-1,-1,-1,53440,271344,992508,990828,-1,647215,6118,387420,-1,-1,828393,380109,643930,-1,16549,-1,379503,-1,582143,-1,-1,979323,793088,-1,-1,-1,259680,-1,-1,-1,-1,121768,-1,-1,-1,-1,290896,315209,-1,693818,-1,517197,921958,16983,753279,-1,677844,-1,212408,-1,-1,952824,-1,-1,692253,-1,16576,-1,459697,56308,-1,841850,557791,-1,-1,239807,799133,628018,-1,-1,972084,447994,403503,54070,-1,69421,-1,-1,-1,-1,421026,-1,148464,516678,-1,-1,-1,-1,156057,-1,115468,-1,-1,49516,384445,89556,-1,125974,4057,753846,-1,-1,385896,-1,395510,361949,233920,-1,-1,-1,797943,766969,533438,-1,-1,844183,832688,-1,238595,-1,487979,952267,-1,-1,-1,878582,-1,-1,-1,279653,273998,-1,74390,501317,714157,-1,537964,71291,777374,625752,554837,-1,-1,-1,-1,-1,-1,852752,-1,662401,808155,611409,76543,905111,-1,-1,967727,-1,215956,26311,673727,732406,716827,913120,-1,395787,-1,-1,-1,788844,960147,-1,-1,-1,134444,-1,-1,-1,955055,899745,-1,571789,-1,144715,-1,651155,96616,-1,-1,-1,-1,770775,-1,-1,145784,-1,-1,587517,-1,-1,-1,416548,-1,918749,-1,220676,597548,730996,-1,-1,494745,-1,101611,-1,-1,380638,-1,33941,884386,-1,330740,336235,200735,482011,426655,623165,-1,-1,-1,60832,850548,641119,65207,146850,-1,-1,-1,-1,-1,620936,899819,507038,147902,223758,146932,951393,-1,-1,170049,634141,-1,-1,448616,220511,136909,439912,-1,311718,-1,500917,584110,-1,270041,326561,-1,-1,-1,714411,-1,994153,527439,-1,-1,-1,-1,-1,-1,178907,-1,-1,225611,119784,-1,797191,-1,-1,-1,-1,-1,-1,61159,-1,-1,85363,-1,-1,-1,425927,466994,982447,690456,410476,-1,-1,-1,-1,999561,-1,261136,153928,-1,551759,-1,-1,927777,-1,-1,687288,87933,185539,122545,833672,-1,-1,219623,383789,376397,253794,652916,803029,688064,152334,111504,-1,-1,216993,331409,-1,186822,612646,569347,-1,-1,994217,935179,602421,-1,-1,-1,467367,541204,288998,-1,351343,-1,537282,-1,-1,-1,-1,-1,982636,206741,912312,-1,-1,-1,-1,-1,-1,460774,-1,-1,849948,689143,-1,923989,819860,-1,-1,-1,626600,-1,-1,648585,-1,-1,-1,231303,-1,-1,919854,-1,222600,819265,-1,229757,-1,368575,269550,-1,-1,201053,515078,-1,-1,-1,-1,-1,-1,-1,457224,61393,-1,319516,267827,-1,216503,-1,713514,221646,-1,472517,-1,-1,-1,505030,789138,-1,-1,-1,-1,-1,-1,586410,-1,-1,-1,196760,924703,734098,-1,-1,-1,-1,-1,-1,-1,425527,-1,-1,-1,-1,687567,231856,-1,-1,-1,257043,-1,350969,758479,888378,213147,623937,-1,-1,-1,901304,-1,789210,453010,-1,-1,-1,930210,-1,-1,675031,826314,608916,681691,-1,-1,-1,72500,-1,-1,575678,690152,-1,-1,531559,372028,36777,-1,-1,355157,338480,729127,-1,-1,256677,980715,195234,59860,379312,-1,-1,60632,-1,-1,-1,-1,-1,-1,242889,-1,515967,54144,-1,634208,712873,-1,-1,563187,952329,-1,-1,109503,-1,802579,306493,-1,992184,-1,587548,31807,-1,-1,-1,581467,-1,256508,633057,250608,294547,332006,426542,994656,-1,-1,694898,-1,-1,-1,6065,567359,369912,979070,-1,-1,-1,980445,-1,-1,-1,165990,-1,-1,138119,701290,538788,534638,500601,807386,105400,-1,14486,934985,-1,205113,-1,-1,-1,796425,847224,257189,787682,657345,637318,-1,522857,-1,702261,613911,-1,276261,258359,-1,5124,-1,-1,951843,468582,-1,-1,287194,395788,711329,-1,898219,317670,973486,-1,-1,846414,-1,-1,716995,-1,-1,258139,-1,696832,-1,-1,-1,957591,-1,-1,-1,-1,-1,-1,-1,-1,200313,-1,-1,653691,508504,-1,-1,-1,766776,-1,-1,408751,-1,-1,42221,613817,-1,222090,829705,-1,-1,-1,-1,-1,-1,183931,-1,-1,10104,880609,708926,-1,872781,951540,-1,918408,-1,148012,583593,-1,145631,529023,125048,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,632534,863356,567266,-1,51549,772984,828566,12044,932139,622654,-1,-1,227250,-1,-1,607116,-1,826622,138156,216647,-1,-1,-1,-1,247436,633564,86912,-1,-1,-1,983687,-1,-1,-1,-1,-1,-1,-1,-1,196848,724833,642783,909641,-1,-1,-1,985758,341916,-1,-1,-1,698602,578776,396181,-1,432792,931606,-1,-1,-1,532480,372939,-1,-1,475673,-1,-1,-1,522368,-1,-1,-1,-1,990111,-1,-1,90183,684927,-1,354724,878001,-1,-1,-1,-1,-1,-1,303191,281145,331309,231683,524064,-1,369294,331701,-1,560809,-1,-1,-1,30243,83428,-1,964752,-1,-1,-1,439077,-1,179402,-1,-1,-1,-1,-1,729600,756237,-1,-1,-1,-1,-1,448351,-1,-1,-1,272553,-1,-1,-1,-1,144606,95713,870410,842560,-1,-1,500474,-1,77444,-1,-1,-1,-1,-1,194416,609630,562415,-1,-1,753087,3430,600201,316977,-1,-1,-1,717731,-1,903516,22521,459252,-1,370786,-1,638130,-1,-1,821657,750852,434180,-1,-1,-1,663156,-1,560012,708531,-1,-1,291848,202486,-1,975365,-1,-1,-1,195449,-1,-1,734526,928293,209512,-1,-1,323514,491521,-1,-1,325357,-1,-1,-1,918404,-1,-1,740545,-1,-1,-1,-1,52433,751910,-1,825837,-1,949896,-1,-1,-1,-1,-1,189307,779266,-1,474646,-1,-1,-1,93365,-1,186019,-1,926035,587001,725564,996661,844479,779373,410361,-1,-1,365677,-1,-1,-1,-1,-1,-1,-1,-1,601612,-1,-1,-1,-1,185361,-1,-1,-1,120372,-1,560450,-1,974629,-1,-1,-1,-1,-1,-1,-1,282650,-1,698143,-1,-1,-1,967522,584989,769128,-1,-1,-1,577480,-1,360489,-1,-1,-1,-1,838742,-1,-1,24958,-1,612904,337270,-1,378612,755275,155404,636043,-1,440937,491695,676705,-1,-1,-1,-1,884294,-1,-1,-1,-1,-1,789918,53020,-1,723798,-1,-1,-1,830910,-1,-1,639893,-1,78528,-1,659669,941664,-1,930690,450812,-1,481240,-1,650583,-1,-1,884466,-1,-1,798360,-1,740696,-1,906876,-1,-1,-1,455739,628567,-1,58770,-1,-1,-1,-1,-1,895359,-1,-1,-1,-1,720642,669503,-1,16027,-1,318772,735269,41850,859175,229759,977636,-1,-1,780819,-1,-1,-1,-1,-1,988895,-1,-1,-1,-1,-1,-1,-1,755045,-1,-1,-1,-1,851853,906971,628118,-1,513250,-1,961285,-1,-1,-1,671011,-1,745237,-1,375488,611332,-1,90974,-1,-1,-1,-1,-1,-1,-1,-1,470785,-1,258941,429982,844870,-1,-1,-1,320547,917540,-1,949123,-1,849103,-1,-1,-1,-1,382755,-1,730635,-1,-1,-1,476803,-1,-1,67329,-1,346934,705625,-1,994366,-1,542892,586230,-1,-1,48953,356813,994753,-1,-1,842037,227202,-1,-1,340910,595926,211368,-1,-1,-1,486939,-1,-1,597105,-1,84065,240917,-1,653077,-1,-1,622180,-1,268543,-1,765094,895248,509283,781901,-1,-1,-1,-1,527723,509057,474290,-1,31993,102869,429335,-1,-1,-1,139182,-1,-1,806576,-1,495744,-1,-1,877713,-1,-1,471303,-1,890476,-1,-1,-1,608586,202787,303861,630072,44563,-1,-1,842092,640238,79656,-1,924374,-1,701966,-1,-1,16677,-1,987440,323990,201830,-1,-1,-1,-1,48436,-1,313192,524755,255736,-1,-1,-1,115874,-1,836342,-1,-1,-1,-1,-1,845541,-1,110302,411926,-1,266704,-1,173278,97851,242711,-1,-1,-1,-1,905837,-1,-1,655494,781151,744812,200241,326818,-1,-1,127850,-1,-1,413673,874701,-1,-1,38598,-1,-1,201122,422632,856475,-1,-1,118558,27482,85162,640581,-1,-1,685505,-1,702359,852076,-1,-1,-1,435356,-1,143202,-1,723914,974827,-1,643786,-1,533105,-1,25466,171009,754034,-1,-1,85093,-1,-1,873947,-1,59721,615008,-1,-1,-1,-1,640862,43253,157395,-1,-1,-1,-1,859586,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,383601,-1,192621,400110,-1,587777,-1,632432,-1,-1,-1,234275,-1,-1,563072,-1,564857,-1,202776,753101,559901,505947,-1,505598,663184,344329,859992,-1,-1,-1,-1,87018,402640,442900,211601,-1,805122,321683,220777,-1,69270,235568,444812,106417,-1,881126,-1,-1,723829,960713,681796,-1,603369,-1,-1,719857,-1,-1,-1,-1,76942,137787,-1,269152,304677,-1,-1,-1,358632,459064,-1,-1,-1,81920,-1,-1,-1,40965,271427,-1,461999,819670,306325,724011,-1,515562,-1,-1,-1,-1,-1,392436,320894,-1,187683,-1,65246,361594,28786,288990,911543,-1,92373,-1,197123,562897,-1,243178,253406,797561,873809,-1,770797,-1,-1,932032,732407,-1,-1,737672,-1,-1,420571,-1,-1,-1,-1,-1,263346,-1,-1,-1,-1,-1,445384,-1,-1,830997,-1,651874,75604,-1,268139,-1,340581,510547,359914,-1,-1,118389,-1,912452,-1,-1,832010,-1,-1,311642,-1,-1,520134,56702,555756,370969,564968,-1,-1,702668,-1,597986,-1,437634,-1,-1,-1,-1,-1,212753,-1,687923,-1,-1,538367,586647,-1,662605,-1,278565,-1,-1,-1,-1,453286,-1,-1,-1,711113,-1,968621,-1,-1,-1,738143,248456,-1,-1,-1,803745,-1,-1,-1,13780,799920,-1,-1,460421,-1,-1,447508,-1,-1,795302,99722,518254,-1,706893,487618,188319,-1,480518,-1,432974,-1,-1,-1,-1,-1,441107,-1,376411,970150,934579,-1,-1,-1,-1,361303,253379,-1,-1,564499,-1,934327,621701,-1,-1,93447,-1,-1,-1,-1,554046,959253,370761,567779,-1,909443,-1,-1,-1,-1,-1,141087,639804,-1,926217,283457,-1,-1,656218,-1,-1,75499,-1,401429,-1,25044,-1,506003,-1,-1,-1,76428,806012,480561,693583,-1,101064,-1,764903,232942,447773,646577,-1,-1,-1,-1,-1,730047,625552,725283,634189,-1,781281,148424,341539,-1,-1,-1,-1,-1,264127,-1,625822,-1,-1,-1,-1,-1,748068,855739,-1,-1,-1,883437,-1,-1,-1,-1,470058,-1,194014,-1,470076,-1,127725,550022,933025,-1,637783,-1,-1,-1,-1,-1,-1,116860,301192,-1,-1,-1,283368,521475,-1,-1,203400,994643,842978,-1,785217,446605,48012,-1,675383,524026,-1,724264,-1,288140,-1,163826,497419,-1,291691,-1,-1,373493,-1,-1,691281,-1,739883,568470,-1,387405,752241,-1,542548,-1,-1,376992,-1,-1,398224,-1,711347,-1,-1,-1,711284,113242,293548,396854,-1,901238,566009,576247,-1,167198,567433,-1,-1,-1,374954,-1,214255,513937,-1,-1,304846,-1,506518,961169,40677,-1,-1,96435,798649,898346,-1,19792,331570,302698,-1,147085,-1,144324,-1,-1,47795,641112,484512,-1,610081,247999,-1,-1,-1,314520,-1,898148,-1,165699,498167,-1,752518,-1,936568,589102,-1,906403,512985,-1,910799,933395,582137,600440,-1,-1,741862,787430,-1,80346,-1,546688,828519,353818,658414,544454,-1,219101,-1,616380,-1,-1,764308,319290,-1,-1,276248,907456,-1,-1,763316,-1,113625,48258,683214,-1,267621,396394,475139,-1,507068,-1,716355,-1,-1,-1,427026,-1,-1,-1,-1,193126,214950,120426,-1,-1,784661,-1,-1,171135,-1,342856,230385,5767,-1,650949,-1,-1,636945,670224,563188,-1,734527,793340,-1,-1,289344,-1,628386,-1,-1,-1,647887,-1,397699,-1,-1,-1,452409,-1,-1,556258,-1,165245,585368,-1,261144,-1,-1,841177,209367,-1,-1,172502,144244,466282,81819,-1,923433,115855,26971,82083,102860,-1,570085,105801,300744,-1,-1,-1,694534,-1,339673,555746,-1,580540,591484,244674,-1,-1,-1,-1,691868,-1,562276,939196,423505,-1,516961,491016,-1,-1,-1,-1,971964,544664,249480,-1,-1,-1,-1,-1,704170,276643,329601,652896,-1,-1,631043,846145,204884,-1,423129,-1,760228,801372,335462,733063,-1,953939,703655,70982,-1,-1,497823,-1,-1,827258,333429,-1,-1,-1,667163,489029,-1,48419,-1,908181,-1,-1,893684,104100,-1,-1,-1,150915,232635,-1,-1,813877,979369,862346,18388,-1,81991,-1,-1,750605,970609,193180,-1,-1,549590,-1,-1,-1,429658,533676,-1,-1,430880,794095,859626,906910,-1,-1,99142,-1,522504,-1,-1,41064,674005,-1,-1,-1,-1,433745,582836,-1,30210,103145,135841,152223,876009,305049,-1,902035,-1,-1,-1,563093,381667,365115,942139,-1,-1,-1,-1,-1,-1,-1,-1,-1,791230,584913,-1,-1,-1,-1,-1,580340,-1,914630,367269,396470,-1,292691,-1,852125,370783,-1,-1,974194,-1,391098,-1,-1,-1,-1,-1,-1,75339,449488,-1,652707,574733,-1,-1,-1,541933,122834,-1,598528,663420,-1,18315,-1,-1,-1,567506,-1,22568,230423,-1,-1,530813,-1,-1,404691,-1,-1,104704,842561,383435,588163,105462,-1,-1,-1,-1,134700,-1,597861,-1,-1,-1,-1,-1,-1,974274,-1,-1,712809,-1,317496,876082,265611,656104,-1,619183,137991,900076,872258,226133,703952,-1,-1,632402,-1,159516,964524,685655,990637,588252,371026,-1,-1,-1,710160,-1,-1,-1,-1,799077,-1,507294,301671,-1,644662,-1,-1,204529,445516,-1,512020,803950,-1,849982,793991,-1,-1,-1,503769,-1,785879,141498,-1,682364,492944,-1,-1,-1,424504,-1,-1,-1,389432,726948,466562,-1,902753,-1,-1,-1,97240,306321,699684,505342,727978,-1,599860,-1,-1,-1,-1,-1,315849,332480,243747,697440,395831,-1,-1,-1,646585,841998,513045,59357,940477,-1,597449,-1,155871,647674,-1,-1,306218,339400,432312,-1,119452,-1,224061,988475,-1,531391,584027,-1,142618,800134,-1,233586,-1,-1,-1,549782,-1,263664,499472,773652,332747,-1,-1,775532,193405,-1,657406,263515,-1,-1,479505,-1,-1,-1,595970,-1,435195,210270,42118,-1,426134,860285,219970,522231,-1,327113,39857,-1,-1,-1,-1,-1,-1,-1,-1,-1,357499,-1,-1,-1,271806,-1,-1,-1,825443,42020,269707,-1,835485,726864,905653,707910,865467,839338,-1,-1,-1,-1,891135,-1,-1,48905,64485,-1,233619,-1,-1,-1,837589,-1,449908,949975,142619,72538,356992,196600,-1,-1,588295,578124,545362,-1,512785,-1,-1,767071,-1,-1,987958,-1,-1,-1,-1,-1,830461,-1,304445,937001,176712,696125,-1,192173,541913,-1,207526,640922,431850,897144,128592,937234,632271,-1,-1,-1,-1,-1,-1,764354,-1,79602,985569,-1,566527,-1,941831,-1,634706,-1,487789,734257,-1,764484,-1,-1,418103,639342,692055,208166,281775,-1,72537,784051,170268,-1,125895,-1,-1,527330,-1,336118,898478,63426,-1,276151,-1,437235,-1,303375,-1,36418,698347,-1,574281,-1,-1,101119,746006,494853,893490,-1,667539,278851,206931,246641,-1,340939,-1,550802,420694,244153,-1,-1,638723,917672,-1,-1,-1,-1,229563,849676,-1,-1,271822,133713,404811,846899,-1,-1,-1,330041,-1,284764,769979,-1,-1,195939,203727,881701,-1,992135,-1,-1,832946,178312,589655,-1,-1,461042,-1,-1,-1,300262,-1,960804,-1,-1,-1,166219,619071,-1,46684,-1,-1,-1,-1,447583,55775,395713,-1,-1,388907,-1,-1,838054,893036,-1,-1,161285,669918,-1,196024,-1,-1,880076,-1,-1,737393,891559,-1,200665,-1,136894,-1,-1,-1,269604,606640,831847,-1,-1,689854,-1,-1,521964,477398,669450,724765,138426,-1,-1,-1,467134,-1,-1,-1,204098,-1,938375,370041,518753,690899,890567,-1,149568,10702,316784,492191,-1,-1,227498,-1,709318,535590,717816,-1,624828,-1,635122,196468,80145,403173,778876,24192,-1,687470,156326,-1,743949,92981,739243,266363,345199,-1,563243,-1,236847,-1,709954,-1,637235,867281,762849,-1,-1,114891,-1,398241,328285,743857,728002,-1,525907,-1,388712,987488,400746,858485,-1,-1,-1,863227,975981,-1,327915,-1,755308,451050,701360,831454,-1,209575,595258,124741,-1,202751,-1,664333,-1,-1,-1,3153,115863,39759,-1,-1,689519,430658,237541,434854,-1,-1,-1,557267,-1,974570,-1,688457,-1,-1,-1,-1,479039,783547,-1,-1,-1,395518,-1,-1,675430,-1,-1,-1,-1,-1,-1,280883,810737,-1,870242,54511,680048,119545,-1,-1,726795,99721,-1,459208,392831,714647,919093,-1,562586,78980,279189,544201,260167,-1,776299,35771,-1,-1,-1,-1,-1,-1,-1,296016,-1,185253,-1,-1,-1,483795,-1,700259,318122,41200,-1,424051,-1,26027,146672,85505,-1,-1,167251,-1,-1,368020,294291,436329,718952,-1,56723,619686,306149,822275,952783,294649,-1,-1,-1,-1,-1,206430,159624,206613,558587,739758,366164,-1,9216,128676,501071,452593,-1,706987,-1,-1,-1,155116,-1,-1,201126,-1,-1,-1,97453,759458,-1,-1,-1,-1,73254,-1,-1,836461,916309,-1,-1,492309,717274,955759,-1,-1,-1,-1,-1,949034,238215,-1,263851,-1,-1,268359,-1,-1,522351,255661,13939,-1,676056,426155,707129,-1,206375,-1,-1,132276,698472,785054,-1,-1,-1,981070,403796,-1,801177,-1,953559,-1,335056,394476,-1,-1,294450,-1,216865,-1,-1,357256,-1,-1,-1,-1,482783,-1,301283,-1,837451,695536,84963,-1,354067,978245,-1,-1,511187,-1,-1,184786,-1,758870,202595,555547,770311,-1,354174,775811,18587,302342,914380,364618,104038,20572,-1,140901,247731,905265,211668,-1,84867,68234,-1,-1,671855,771163,-1,106796,-1,-1,664389,-1,-1,165483,500726,-1,-1,-1,843310,-1,-1,61582,-1,-1,67602,937531,107767,900287,-1,833372,102905,916034,873995,673326,-1,765479,212802,-1,-1,-1,344080,-1,376098,872320,-1,-1,-1,516317,-1,336450,-1,941757,-1,253651,-1,-1,204801,787230,-1,31379,-1,218795,-1,520089,807191,-1,813579,-1,172415,864082,467149,-1,-1,581775,371612,944768,593859,-1,87928,-1,-1,-1,-1,207585,271602,995571,112390,-1,540876,-1,118113,-1,-1,-1,-1,-1,718433,997942,689858,-1,-1,151812,758221,-1,-1,-1,-1,-1,-1,851115,450539,-1,-1,-1,-1,-1,78803,-1,-1,548074,-1,103039,242718,-1,844697,-1,28740,-1,-1,183298,35113,630698,-1,-1,-1,366582,-1,-1,743761,572970,774479,26414,500513,840434,901817,-1,955152,-1,-1,-1,223567,-1,728890,826585,152433,117515,44129,829958,286089,490839,66977,-1,845333,-1,312611,-1,-1,703339,39301,459674,701498,915124,-1,255920,-1,389183,985133,-1,-1,-1,-1,918107,-1,34302,392911,4837,733188,436568,168573,-1,237895,52801,-1,-1,989124,249075,-1,-1,-1,682139,40855,-1,-1,-1,-1,-1,333409,376722,-1,-1,669792,-1,-1,-1,-1,-1,680776,289150,-1,462289,-1,-1,-1,-1,943495,420663,-1,232626,-1,-1,349635,-1,-1,272710,908080,466834,-1,-1,749374,937249,-1,258499,-1,221323,523885,-1,-1,-1,-1,740804,611871,475739,456296,-1,-1,36009,190367,226211,-1,170816,10110,-1,717488,864899,804393,-1,632961,942582,-1,-1,-1,335448,-1,431760,-1,511889,-1,30237,-1,586523,-1,-1,-1,-1,211123,904279,832445,-1,840879,-1,-1,255124,-1,-1,-1,905365,830492,-1,147984,461386,327180,209682,-1,-1,-1,-1,788333,721380,-1,974444,323190,916671,357870,722899,-1,-1,-1,347897,-1,-1,-1,-1,-1,-1,350105,-1,-1,-1,471678,312686,-1,112026,427336,-1,543368,-1,969301,-1,264041,401682,224648,225566,339951,-1,76025,-1,496789,993472,502763,-1,826082,662912,-1,-1,394137,-1,-1,737947,-1,-1,-1,873645,399477,-1,538732,804626,601793,792396,368919,-1,-1,-1,-1,-1,827330,964008,-1,586253,982179,299846,-1,-1,-1,816667,-1,558543,-1,187952,584391,201217,-1,-1,-1,560378,349345,-1,551633,934202,742447,436699,-1,187629,874998,359454,-1,-1,12756,-1,921593,304432,-1,-1,-1,-1,832826,572803,912669,-1,542268,740999,-1,825857,-1,437535,-1,-1,-1,-1,155189,382706,376431,-1,-1,40277,-1,752491,181831,919884,-1,917649,-1,-1,-1,16628,-1,778663,345796,-1,-1,-1,-1,-1,-1,413439,733712,-1,277395,-1,18289,-1,-1,-1,-1,-1,-1,-1,-1,228024,-1,264035,257364,-1,825638,827863,-1,-1,-1,-1,-1,328959,941483,-1,-1,-1,-1,-1,678826,902121,259417,416763,697504,-1,-1,-1,419704,-1,-1,35012,709103,833563,-1,797584,51072,227812,460823,213703,199150,-1,-1,818663,154263,808330,-1,-1,163948,-1,-1,12886,-1,-1,781541,-1,423077,254147,927956,263205,621342,178378,582497,938832,532285,594778,-1,-1,225415,-1,-1,-1,-1,417718,-1,566799,-1,873594,-1,-1,-1,76939,228721,991090,397883,-1,997876,48593,-1,787809,-1,66059,832361,-1,4741,390391,-1,-1,987307,-1,42045,-1,-1,522369,488823,-1,976115,807007,659630,316408,356320,893828,759627,459101,882238,652438,-1,229251,639920,305978,65611,-1,-1,-1,620670,-1,-1,-1,-1,-1,549186,101166,336893,760234,-1,582195,-1,-1,726380,837966,432863,477311,103192,670312,-1,603195,-1,94784,330944,-1,77266,202688,635251,821922,-1,339159,825102,318903,-1,439247,766929,-1,491774,-1,-1,104692,566871,-1,361546,661329,599356,75492,-1,-1,-1,-1,-1,-1,894362,-1,49726,-1,-1,-1,-1,670941,410270,881352,-1,-1,700755,-1,461477,-1,9588,352376,807832,-1,-1,457121,110821,-1,209852,234484,-1,-1,726304,882979,902256,672012,770296,877504,-1,-1,-1,594680,-1,-1,-1,711892,548212,-1,-1,-1,179700,371053,332734,-1,-1,395677,-1,817197,362886,240186,-1,901660,-1,-1,-1,-1,-1,937807,507373,-1,71033,-1,-1,538245,-1,434052,-1,-1,320419,-1,-1,-1,668883,-1,-1,225208,-1,-1,-1,326588,-1,772192,-1,389295,-1,-1,537683,754997,651497,894618,-1,519655,-1,230483,855931,971052,-1,38078,-1,-1,93861,801878,-1,-1,676387,-1,-1,559922,673021,348467,-1,236310,-1,834382,-1,-1,-1,-1,-1,676731,478603,-1,100840,475741,-1,84146,303224,383511,-1,633165,570136,28960,7584,662123,102527,-1,-1,-1,730927,-1,-1,-1,-1,127679,72567,-1,-1,-1,-1,-1,-1,167016,-1,448822,602128,-1,562286,392101,720130,283587,580620,-1,-1,238539,70,757647,-1,-1,102909,985344,401633,-1,817728,312584,523068,-1,-1,267630,-1,-1,425224,-1,-1,932483,-1,-1,141995,-1,-1,-1,528320,156652,613537,-1,608313,-1,-1,13265,191804,-1,-1,-1,-1,238391,-1,485129,-1,376413,746849,-1,-1,-1,797462,-1,332865,-1,520684,-1,456559,973644,2226,-1,-1,-1,-1,-1,165310,879225,-1,-1,393978,-1,-1,373851,-1,253824,-1,-1,-1,605608,121929,-1,-1,45276,-1,-1,16941,856165,865563,-1,-1,203120,232096,126737,93467,-1,-1,429001,873866,463039,-1,-1,966572,854218,-1,-1,-1,-1,-1,-1,785252,-1,-1,403405,-1,-1,885698,198874,-1,-1,-1,134155,345626,505929,601417,-1,651659,-1,-1,841133,-1,570961,-1,-1,-1,536957,238635,703858,-1,-1,-1,730062,-1,898688,-1,939720,512210,13469,508297,60548,-1,940485,371741,568698,855803,924563,-1,-1,841126,-1,-1,648220,-1,76914,572232,712122,-1,-1,838995,-1,223750,883782,-1,-1,70477,-1,821120,750407,457064,-1,-1,716177,751811,148571,786485,461470,689350,-1,-1,-1,-1,-1,577217,-1,-1,-1,590888,745864,-1,400777,224813,884709,678449,892846,620537,-1,573860,398677,114201,-1,155715,12840,-1,-1,-1,-1,435937,-1,809377,-1,-1,618803,133365,494784,977961,-1,-1,-1,696666,-1,804029,406021,180746,-1,997138,486946,-1,922873,482642,977268,572526,-1,456452,589599,-1,-1,359612,431922,153373,79513,354847,-1,-1,92112,-1,-1,-1,479275,775067,181531,454194,-1,-1,-1,647098,352302,888616,53205,706857,-1,541263,429277,306206,-1,193622,-1,598203,833405,-1,-1,435360,-1,470239,113986,-1,33866,192405,-1,246444,-1,496280,922809,-1,308264,-1,312830,582612,-1,-1,-1,219080,756304,-1,565146,-1,459632,-1,8198,179220,-1,-1,-1,197355,602476,-1,827922,-1,781916,-1,598015,566672,907109,389742,564863,915011,224291,547762,408119,895983,410555,-1,-1,117934,402161,-1,-1,-1,834834,-1,-1,-1,-1,-1,-1,100796,-1,-1,-1,575115,-1,12469,-1,316382,130404,-1,434108,869852,75488,-1,-1,261473,846656,970598,-1,-1,-1,-1,-1,-1,806295,310180,-1,-1,-1,-1,871740,-1,-1,-1,671660,-1,474221,-1,756078,-1,241256,179967,708270,512811,-1,389718,-1,-1,-1,289975,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,702020,104656,-1,968589,-1,-1,-1,-1,501703,510291,-1,38566,-1,-1,151418,-1,740179,-1,-1,-1,-1,-1,570068,361698,-1,-1,-1,-1,194573,249571,169629,-1,-1,-1,-1,794516,-1,707691,-1,-1,-1,-1,-1,561456,961804,-1,225245,994212,201678,202582,-1,-1,165628,334969,794131,554467,-1,-1,-1,628103,-1,585403,-1,213415,818456,-1,736266,-1,734324,80960,-1,187649,-1,-1,236751,958878,63611,471695,854852,692974,-1,39351,-1,-1,-1,679265,-1,341087,-1,843248,-1,-1,600092,-1,22906,110392,-1,119346,-1,-1,-1,401663,861882,197052,-1,-1,-1,-1,-1,-1,-1,158300,960383,398610,29483,599730,-1,487967,95463,-1,-1,-1,543294,796802,-1,683450,-1,-1,-1,882348,-1,-1,-1,5964,-1,157094,256557,-1,-1,542996,294747,130435,444550,755684,-1,475326,416976,-1,862004,-1,289571,107671,-1,-1,547479,-1,929807,380293,-1,602298,-1,-1,83146,226202,445304,551276,845272,-1,874465,828499,517943,402264,-1,-1,-1,469304,-1,-1,-1,441668,940391,-1,185403,-1,175280,-1,210076,-1,131363,337614,-1,774216,-1,430398,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,191244,-1,913790,-1,350872,776192,-1,240373,935004,-1,101501,882676,-1,956226,908588,-1,286432,108281,-1,-1,-1,-1,922421,-1,428101,-1,-1,-1,-1,-1,570208,377095,197757,-1,217430,-1,648607,559623,412689,487006,-1,363048,697210,642757,561596,597221,-1,106013,967267,-1,977665,-1,141769,46671,-1,-1,-1,-1,-1,-1,-1,376488,967276,558172,-1,-1,914972,-1,627844,457805,458326,-1,-1,-1,-1,-1,835094,-1,-1,46792,-1,-1,-1,93514,-1,770332,-1,663688,795221,858369,-1,969541,441368,-1,242624,-1,319626,489783,527407,-1,-1,967285,-1,-1,-1,990834,-1,238147,836858,-1,308761,694256,-1,995637,-1,-1,-1,-1,322781,730991,45577,-1,74465,52558,346591,181009,140403,732236,243433,-1,83847,-1,-1,229362,675126,-1,836179,311260,-1,-1,122214,144956,-1,192489,604141,-1,-1,940067,580673,-1,894866,-1,-1,752809,461694,-1,377418,-1,418413,-1,339334,70197,-1,604719,-1,495359,-1,-1,-1,329554,150622,-1,-1,984314,-1,822759,510762,-1,-1,-1,-1,-1,-1,594929,155512,-1,-1,622792,557957,-1,-1,159654,-1,-1,823193,394921,-1,146400,-1,371084,-1,164936,676396,982869,135944,-1,-1,65182,722064,-1,-1,-1,-1,630152,-1,65832,102532,-1,-1,270473,-1,841959,-1,-1,318106,-1,-1,802832,-1,-1,-1,-1,349815,-1,873444,529002,884479,-1,82324,-1,-1,621189,831648,-1,-1,-1,-1,606431,787060,-1,602856,-1,-1,456095,-1,-1,-1,-1,-1,-1,-1,572495,-1,-1,883301,44804,-1,453062,-1,657443,-1,805329,31006,-1,-1,413027,-1,-1,537692,-1,-1,860935,794690,-1,260260,629933,613263,746620,-1,-1,449588,-1,600476,-1,584897,-1,-1,599463,-1,492439,363109,604264,434158,-1,306774,-1,-1,682583,554702,-1,881841,288611,733969,-1,-1,116834,-1,81572,-1,498394,723721,235751,158401,-1,551913,-1,226783,-1,650584,426617,-1,150660,788651,-1,758630,672807,-1,-1,819990,-1,384073,176380,689453,537766,183194,-1,-1,-1,-1,746782,858030,-1,742388,835596,-1,177798,-1,714582,-1,695283,288545,-1,-1,649344,-1,269644,513319,127670,-1,488255,-1,-1,768593,359522,-1,328836,-1,-1,320190,-1,-1,-1,-1,-1,198453,-1,-1,945746,-1,274980,215438,-1,126903,827160,-1,117645,-1,490504,-1,552758,492015,-1,732505,-1,-1,187811,257032,-1,-1,410872,-1,848616,219847,-1,-1,987625,-1,-1,-1,205116,-1,-1,90264,-1,577029,262226,824091,-1,-1,43963,-1,858830,-1,510638,-1,203593,502131,-1,-1,-1,-1,777355,468325,-1,-1,-1,-1,717089,813998,-1,-1,460338,-1,-1,-1,346583,-1,-1,399871,357028,904563,-1,37748,727574,454108,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,455547,642600,-1,-1,792124,-1,445568,-1,-1,419409,698410,702031,-1,365237,-1,923777,701497,135033,-1,277200,-1,65047,640603,-1,-1,338994,386007,-1,-1,797374,767516,323760,119935,-1,-1,-1,-1,-1,303622,-1,-1,-1,-1,799352,-1,261504,-1,-1,-1,-1,-1,-1,139384,-1,-1,-1,-1,-1,-1,-1,721560,928340,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,780381,-1,-1,306701,-1,-1,96984,-1,638646,866140,349826,372863,12289,-1,491401,-1,-1,-1,890185,-1,-1,805366,-1,511697,-1,175302,959406,-1,-1,-1,143438,690383,-1,336571,976068,-1,-1,124930,964639,-1,124701,-1,500831,8871,-1,-1,788135,-1,10750,551512,-1,47422,245873,341018,-1,310905,961714,446970,-1,-1,-1,993859,-1,-1,701727,216726,862709,-1,-1,-1,-1,102555,984165,155193,799412,-1,-1,86291,970432,-1,-1,208490,-1,905989,518047,20741,16898,469245,32055,62753,910891,-1,-1,-1,712330,924894,274146,-1,792132,967564,-1,695305,-1,197192,-1,-1,-1,634293,-1,830966,-1,-1,664563,-1,-1,521491,770242,-1,975755,-1,-1,157697,280554,-1,-1,-1,-1,805177,-1,-1,430878,-1,815262,539055,-1,-1,127996,49596,-1,92271,-1,-1,684792,-1,-1,879445,-1,756512,-1,-1,430696,720727,617448,168308,-1,-1,-1,-1,-1,812393,789356,-1,-1,299754,-1,191814,995111,-1,-1,155092,345033,196790,-1,31549,-1,-1,-1,-1,870686,-1,-1,952400,424096,125603,676048,-1,-1,-1,-1,-1,86771,-1,-1,104340,-1,-1,-1,206069,520625,437065,779132,-1,-1,175834,719167,909956,122700,-1,-1,-1,-1,863742,878979,796605,-1,-1,496083,463388,98402,-1,46629,-1,-1,172020,-1,381018,83865,-1,-1,-1,-1,-1,23060,477861,-1,304750,746101,-1,-1,113088,-1,994216,-1,-1,-1,714075,648259,712678,-1,-1,246156,742166,-1,817531,-1,-1,-1,53770,209957,787010,832891,-1,780646,940601,-1,315503,-1,-1,818834,-1,146668,789367,471562,955097,-1,-1,19994,-1,8034,257315,885764,-1,995560,543078,-1,-1,-1,396228,711870,823762,248549,-1,-1,543016,75080,-1,388048,884657,-1,533358,-1,-1,-1,-1,-1,-1,441776,-1,742135,-1,81574,120509,-1,854395,-1,347508,-1,-1,-1,254960,658884,-1,-1,-1,-1,874588,-1,-1,-1,333681,-1,878467,641156,-1,-1,914656,-1,128939,-1,-1,-1,780541,534652,731706,-1,-1,857868,-1,-1,-1,-1,549737,212892,7168,683066,-1,-1,664933,-1,398676,377954,250325,787893,-1,650285,-1,327709,555807,133363,821725,422650,-1,158807,708424,361838,-1,155995,205515,134133,-1,-1,49158,464353,213014,692232,-1,230300,-1,-1,-1,273488,718044,892399,-1,-1,632528,965790,423400,-1,-1,-1,986720,365670,139734,814092,-1,-1,-1,-1,912746,-1,147546,-1,984657,503046,-1,59675,-1,-1,23848,878452,882546,-1,-1,-1,790014,-1,-1,693331,-1,-1,925943,34076,829254,-1,712910,-1,-1,654890,-1,42073,909696,413528,-1,590082,-1,-1,-1,488767,112017,-1,521629,297188,92792,-1,509350,-1,96500,-1,545595,957341,830982,-1,-1,999654,-1,-1,62870,-1,52145,52247,-1,329009,-1,420754,-1,-1,-1,-1,154374,538996,-1,-1,-1,689402,-1,115015,780519,715883,-1,637642,912875,282807,535211,-1,-1,-1,11885,812197,-1,-1,-1,707997,-1,-1,811349,787622,554458,-1,-1,353739,991691,-1,580854,-1,-1,689958,426846,873904,430450,-1,-1,986278,-1,-1,943573,-1,591494,-1,-1,-1,39701,-1,454547,586126,83359,-1,-1,157690,-1,-1,985630,-1,-1,-1,357067,823593,93434,700500,-1,449504,-1,-1,755751,715046,94545,748882,376736,521846,398080,550653,568934,-1,363795,-1,147053,55871,-1,-1,-1,5845,198186,591894,-1,-1,-1,-1,-1,-1,757044,105358,411753,-1,414708,321810,295286,813087,595399,-1,-1,-1,-1,-1,-1,-1,62834,624612,267902,333383,773703,933266,346038,489004,418025,124825,222839,-1,-1,92136,387597,696302,-1,-1,-1,375118,-1,835511,-1,628596,966732,-1,386754,-1,618428,-1,-1,370439,337480,-1,896831,-1,378374,-1,-1,-1,768733,-1,734062,-1,378060,-1,-1,597541,491242,205973,-1,-1,788780,-1,613114,390900,200468,504089,-1,-1,-1,-1,-1,-1,339063,544748,-1,-1,202644,355667,-1,-1,836186,-1,330475,20484,-1,124864,16074,-1,642320,511071,-1,-1,43303,-1,-1,-1,997360,539400,109334,652199,651042,-1,854723,-1,-1,148820,619682,-1,-1,787076,-1,703129,-1,219540,-1,267451,-1,532844,449568,-1,291938,-1,727361,659575,313262,500254,-1,39519,343951,611663,763338,193548,-1,64601,538442,-1,956935,-1,173901,739074,-1,499284,-1,-1,-1,-1,889222,330073,399573,-1,798565,-1,-1,-1,337523,450101,295325,347571,479430,737778,-1,-1,827651,62788,-1,-1,-1,267264,859601,-1,427564,881423,989356,-1,-1,-1,-1,-1,-1,-1,575316,-1,682263,-1,-1,706831,-1,597343,668467,-1,-1,-1,834053,106644,-1,-1,255272,-1,506133,231040,-1,967002,-1,335677,-1,792742,884105,662623,-1,365114,452019,-1,-1,637715,24833,506609,716569,872992,-1,947777,280366,-1,226157,264319,775042,396696,427081,-1,740931,224127,-1,-1,-1,-1,284766,-1,-1,-1,95472,525236,-1,-1,-1,623808,643850,-1,87561,-1,-1,-1,301162,86068,924190,-1,532909,745194,668987,108619,429748,-1,-1,650538,329665,264597,-1,174133,-1,857583,412928,-1,-1,59019,137834,-1,433869,-1,-1,847834,265139,-1,-1,823474,-1,-1,-1,289318,-1,600754,-1,377409,-1,264778,-1,-1,590517,-1,-1,-1,478751,270294,-1,67175,-1,237060,-1,148145,-1,-1,-1,621495,126632,-1,162544,924255,-1,208776,875952,-1,347670,780037,80375,890017,990959,163714,10370,474048,-1,88747,-1,542927,932494,958102,-1,-1,48847,832800,343806,118940,648191,756285,-1,38653,246441,-1,44378,-1,-1,648004,-1,177395,-1,281213,800688,909823,714500,594822,403528,456750,-1,-1,520840,853740,758024,116978,-1,-1,291977,-1,348,-1,423886,-1,-1,-1,800779,-1,960073,-1,422342,-1,-1,-1,536345,-1,535025,-1,748272,950856,309157,-1,134210,100224,-1,-1,-1,-1,-1,911770,743403,-1,-1,161027,188310,-1,597919,216767,-1,313207,98131,-1,-1,-1,-1,-1,-1,-1,-1,-1,744215,283681,-1,291840,954921,192970,666938,475266,-1,19079,-1,-1,-1,402486,807801,-1,-1,-1,200007,326907,241830,701534,7553,43954,-1,-1,-1,-1,235931,-1,923759,-1,-1,159801,39882,704561,-1,-1,505474,637968,-1,-1,-1,506842,-1,335373,119248,631856,204814,585498,-1,-1,-1,785006,762175,-1,-1,-1,-1,711994,611200,388427,48462,539159,-1,-1,-1,700214,206026,-1,-1,-1,261388,719377,113976,-1,923096,-1,368254,-1,-1,456556,652326,840616,-1,139306,439114,505944,529070,98498,198651,543939,185043,200561,-1,-1,-1,769160,75471,476398,-1,-1,270966,-1,702146,-1,691133,-1,-1,9642,-1,733177,-1,-1,192500,-1,-1,32005,-1,-1,385574,102205,156362,600367,562421,596019,889682,-1,-1,43289,-1,-1,757485,-1,-1,801186,-1,-1,-1,-1,-1,103838,-1,-1,740980,189199,861172,-1,-1,59632,173820,598613,-1,-1,948942,612453,-1,673905,-1,195705,100289,-1,-1,-1,-1,120539,82363,538444,-1,950685,107812,-1,-1,-1,178859,39483,483982,358663,-1,519235,-1,-1,-1,-1,-1,788674,-1,-1,722065,507931,766226,864848,-1,-1,7601,-1,177408,-1,-1,-1,31941,-1,-1,-1,408327,-1,870491,-1,977629,-1,-1,-1,-1,-1,-1,-1,625724,-1,-1,-1,-1,967639,-1,-1,99738,680036,-1,153958,118356,-1,555381,356115,915127,-1,-1,731826,-1,15570,-1,671249,-1,2965,-1,880000,-1,561165,-1,483411,-1,-1,708352,-1,-1,567355,-1,-1,251806,-1,-1,-1,-1,769394,731711,577800,235172,-1,574492,-1,69809,286885,-1,-1,-1,210439,186571,355409,-1,750947,847907,-1,-1,-1,-1,496848,-1,-1,-1,554251,927986,967580,-1,-1,606530,-1,-1,516315,-1,-1,486921,-1,-1,430660,704811,354030,698266,308110,-1,-1,909148,-1,-1,-1,-1,692508,667293,670765,941549,679123,162266,-1,-1,-1,-1,506512,-1,319508,409057,-1,676801,103453,144096,603986,777617,456467,459773,843868,-1,-1,-1,382163,-1,-1,-1,-1,185570,64049,449123,-1,205997,-1,570649,-1,-1,952784,-1,680808,144815,812402,-1,-1,-1,-1,-1,-1,408055,514988,-1,-1,32346,-1,-1,-1,168755,-1,620491,933913,561686,-1,-1,-1,-1,913813,372023,-1,-1,448426,-1,-1,354730,579238,868615,-1,-1,562910,443538,-1,908825,-1,504083,887233,297378,-1,365003,-1,100972,204587,904557,360096,-1,-1,105093,988668,-1,-1,-1,241665,153088,-1,-1,311075,808828,472156,-1,-1,-1,-1,628502,150803,912143,-1,481527,440747,-1,-1,825132,-1,319586,514056,-1,-1,-1,387813,906845,-1,-1,-1,-1,1112,-1,-1,-1,-1,-1,852205,-1,-1,698962,398916,698,307950,641380,-1,288454,513041,-1,-1,168922,-1,-1,77247,-1,118984,-1,-1,372962,-1,446365,-1,879872,-1,-1,-1,106215,485339,51500,357221,-1,-1,-1,531352,64302,-1,-1,848071,71650,281780,-1,-1,304818,-1,329457,-1,176758,-1,-1,59528,235880,-1,-1,81517,771178,-1,776848,-1,-1,-1,-1,80252,924185,-1,625227,-1,919598,197150,444505,-1,-1,-1,671861,-1,596600,596502,-1,-1,-1,919368,92965,202124,977673,769469,-1,646744,-1,-1,120565,277655,18535,196184,-1,-1,304923,842851,119142,832026,-1,-1,-1,-1,163065,344076,942567,890995,-1,311023,-1,351334,477282,97096,883141,848179,741481,-1,-1,-1,773274,156954,801224,-1,-1,676740,488449,712776,-1,-1,-1,117680,271629,428831,956942,-1,786945,133052,101387,-1,-1,356545,-1,771246,325992,-1,875136,224379,-1,228622,152412,-1,-1,941662,-1,-1,-1,-1,638364,-1,52698,-1,-1,-1,570280,110642,-1,366349,-1,-1,676484,680159,-1,-1,248515,542805,-1,-1,87995,941079,549510,388089,987643,-1,-1,-1,-1,244211,35219,531163,-1,-1,497195,-1,-1,618865,-1,-1,-1,840010,-1,848017,999707,63705,-1,-1,-1,-1,629376,-1,-1,718228,742128,-1,283353,629809,-1,-1,637967,-1,-1,-1,-1,756498,-1,-1,-1,679764,657618,80183,-1,-1,-1,62093,-1,-1,995788,775228,-1,462278,854846,723863,118985,181743,-1,939921,-1,800287,630978,-1,-1,801983,-1,824459,613018,120027,342115,-1,-1,-1,-1,30799,-1,-1,120504,-1,-1,-1,942706,549217,552882,-1,689319,924344,928625,282638,-1,-1,974406,-1,-1,793060,-1,-1,-1,47046,897499,-1,-1,-1,-1,-1,-1,-1,450494,-1,-1,249958,-1,277243,6444,-1,493299,640477,848572,-1,-1,863209,792910,694309,-1,-1,203969,-1,-1,-1,-1,-1,552683,-1,697782,886024,487650,189214,110410,119101,975511,-1,-1,-1,43129,-1,-1,-1,-1,-1,682393,255134,-1,841712,137323,-1,-1,988806,-1,-1,-1,85842,-1,41332,286882,803937,-1,764717,-1,-1,-1,-1,722723,-1,203239,-1,171433,-1,874009,-1,-1,115796,519767,-1,-1,-1,74456,333149,89429,982925,215620,-1,477814,258481,-1,-1,-1,315460,546804,-1,-1,-1,-1,-1,31172,-1,-1,112983,-1,-1,-1,340089,-1,722387,-1,890407,-1,329039,306379,157014,-1,612839,-1,409453,276389,-1,-1,-1,161793,-1,-1,-1,730865,471901,564382,528375,-1,-1,-1,-1,133106,-1,35607,-1,279585,-1,944093,629505,626808,-1,-1,381521,-1,13850,-1,-1,913624,880035,791588,213991,-1,256284,-1,-1,19971,-1,-1,442760,696957,-1,100300,-1,988416,-1,-1,-1,-1,-1,-1,893536,16351,734048,-1,252601,858818,501657,-1,-1,771398,720281,592474,-1,-1,-1,-1,747350,-1,-1,-1,-1,547183,-1,-1,739229,7391,-1,685765,33112,341562,536693,-1,-1,505762,-1,-1,-1,418956,-1,586876,836080,-1,429178,339573,429319,543779,-1,234384,-1,-1,-1,-1,-1,-1,-1,88882,773327,304411,112574,-1,336961,492249,-1,-1,-1,483183,587937,-1,-1,-1,-1,562217,205299,-1,-1,410692,-1,545269,-1,-1,25494,-1,-1,552099,-1,-1,-1,-1,-1,-1,487569,-1,-1,334035,629922,-1,-1,449414,441395,-1,212225,-1,410089,-1,-1,152342,875844,-1,-1,-1,301311,913372,865364,-1,-1,575501,338389,-1,-1,-1,168767,-1,-1,267065,343507,694056,-1,-1,-1,-1,-1,377645,-1,698781,-1,458555,350296,-1,374405,473145,-1,-1,252604,-1,-1,385894,-1,101989,519935,894882,782929,960573,751555,-1,-1,787138,-1,-1,343943,2213,276879,-1,-1,-1,-1,651779,968341,180268,-1,373827,658314,680841,231312,-1,967584,721974,-1,-1,664836,-1,-1,-1,-1,718380,951800,-1,-1,-1,189140,-1,716364,257520,82384,573808,-1,584863,98230,763798,8842,34038,425957,-1,629503,8168,-1,713191,483113,50575,114636,-1,749584,823866,-1,-1,-1,152288,284465,-1,-1,-1,619934,578303,-1,193941,942010,713054,635337,-1,743513,165607,-1,308117,-1,687118,13485,337339,-1,419139,-1,151754,69156,128079,342422,-1,479256,701797,63384,732053,816391,601915,288413,-1,35304,-1,821564,860058,-1,187556,575397,597021,-1,-1,-1,-1,-1,118904,62755,-1,250728,798086,-1,824691,149617,539734,-1,148573,496455,-1,726452,-1,-1,-1,-1,300742,-1,908990,-1,32130,-1,700928,243654,872375,-1,809054,849682,-1,-1,-1,243933,-1,-1,-1,302798,953354,571298,607917,800345,-1,-1,953694,963610,254871,697346,783769,-1,507267,163705,-1,899166,416535,-1,651432,20329,-1,180273,-1,997431,909219,-1,43154,60354,57935,-1,959221,-1,270653,189055,335660,-1,226802,-1,115583,-1,-1,145253,-1,-1,794752,-1,-1,-1,692128,999175,-1,378785,-1,-1,-1,-1,-1,-1,-1,-1,514938,-1,-1,-1,392406,-1,857059,389583,36356,323036,154972,734267,408738,935313,335123,-1,-1,707337,783966,-1,649469,60272,848508,-1,122429,632656,231705,-1,660710,-1,792094,67263,-1,-1,-1,-1,12567,-1,-1,-1,-1,-1,338318,490916,171070,305173,-1,-1,-1,920631,314494,949354,-1,197583,179761,341445,-1,-1,-1,623017,755900,683364,-1,-1,614480,759338,605371,-1,727788,-1,786361,-1,110369,754150,563272,-1,-1,-1,-1,73273,161820,-1,669983,358894,-1,328334,-1,-1,-1,373060,-1,689288,-1,916013,-1,-1,-1,-1,-1,-1,-1,669289,322262,369215,318684,941322,-1,-1,509998,-1,-1,-1,996082,-1,-1,678922,-1,-1,465940,340344,583251,-1,-1,460662,340370,-1,312781,-1,-1,635728,948019,745245,31071,676618,-1,-1,-1,578417,-1,580361,-1,-1,244498,580259,-1,827612,-1,335632,-1,-1,-1,-1,25909,-1,293035,345683,103534,261467,-1,-1,269869,844960,-1,248170,-1,842790,362543,238910,-1,623518,482489,-1,371247,-1,465952,868656,914273,614260,331210,922103,-1,902762,-1,-1,-1,-1,-1,-1,545983,-1,-1,404551,-1,-1,-1,-1,337371,50951,-1,-1,179542,183478,-1,835280,362807,-1,426720,-1,-1,880061,289722,341951,841956,-1,170383,-1,425840,217827,-1,-1,440127,436642,194810,-1,-1,-1,-1,-1,968255,-1,105914,306809,88370,-1,-1,556600,433335,852741,-1,210723,400093,-1,-1,-1,-1,477795,-1,-1,106701,958082,-1,311074,818981,-1,-1,-1,-1,60693,-1,14212,-1,-1,583080,629782,-1,358750,-1,-1,776599,449267,831051,-1,348521,743051,-1,402998,-1,757652,647949,336989,569044,474397,129113,-1,-1,-1,-1,-1,466720,730642,454151,886490,-1,-1,-1,-1,-1,-1,37796,959427,-1,668191,284389,3727,49163,-1,364984,570045,-1,-1,-1,-1,-1,319841,371106,604756,837509,-1,-1,-1,-1,145646,363345,325388,705033,903223,-1,-1,-1,-1,668322,186983,-1,-1,197524,-1,-1,-1,38212,961402,-1,866320,782676,865909,-1,69307,-1,340312,-1,731890,923377,640958,-1,896913,-1,209479,-1,-1,-1,-1,-1,921220,851014,-1,-1,56753,-1,142341,-1,750756,676523,819597,757095,-1,-1,-1,-1,154798,503782,-1,920999,-1,670711,471410,-1,58543,688499,493512,-1,434499,909297,-1,41908,441466,614206,-1,59277,411432,-1,126236,594737,67234,-1,-1,845226,647985,-1,343954,-1,343703,-1,898035,-1,-1,137330,-1,-1,64650,-1,433935,481803,195123,525992,951369,-1,855682,-1,281475,607121,-1,-1,-1,288103,-1,-1,245716,783286,392058,-1,-1,594079,-1,-1,105342,-1,-1,-1,398848,688916,-1,523262,384282,77568,-1,-1,-1,-1,-1,-1,-1,-1,-1,228419,-1,665366,-1,-1,-1,887223,-1,-1,-1,805590,-1,-1,561661,430655,366744,588655,469493,534172,636628,-1,-1,-1,-1,737216,371803,-1,-1,-1,884882,499437,-1,-1,-1,386919,242855,723211,-1,-1,685621,704037,375057,-1,645112,-1,-1,-1,8444,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,316425,-1,608442,-1,-1,574715,824372,307818,461083,-1,-1,286526,687475,-1,443309,-1,883256,556557,13661,-1,-1,-1,586944,-1,910008,-1,258596,659500,868283,-1,-1,-1,-1,-1,-1,989334,-1,834876,519918,982549,-1,837412,-1,-1,381785,-1,-1,50233,-1,331226,-1,-1,563410,848240,500041,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,896558,501072,-1,-1,-1,-1,-1,-1,-1,-1,411013,-1,-1,203799,-1,880521,583206,-1,63964,569878,-1,549507,-1,300954,928879,-1,959084,-1,827749,247670,105836,-1,748215,-1,-1,999307,-1,-1,-1,283034,-1,37208,571454,595275,-1,-1,103528,354540,248206,-1,241097,-1,-1,-1,698760,235293,5974,-1,695279,916663,-1,-1,947841,90928,467306,-1,686785,-1,845627,760603,-1,-1,-1,-1,-1,-1,-1,-1,749654,-1,330113,-1,-1,-1,-1,279509,-1,154894,-1,-1,657784,-1,-1,-1,167526,-1,580264,277863,-1,676983,646695,-1,268680,-1,-1,944279,660718,849539,-1,626974,-1,479815,-1,-1,749097,-1,-1,-1,167879,-1,617065,262350,8323,-1,663079,-1,288489,-1,383525,273226,334457,391290,-1,795308,-1,-1,907155,-1,-1,-1,784495,303463,766417,480201,-1,-1,-1,-1,479911,-1,206393,818714,-1,-1,-1,-1,-1,29343,36764,-1,-1,64725,939880,484666,-1,-1,-1,229964,85374,-1,-1,434232,-1,626284,646138,780079,290808,-1,-1,-1,-1,-1,-1,-1,872657,798463,482285,-1,-1,-1,532424,130802,871423,-1,773675,432203,822969,-1,418439,11500,-1,819233,400515,365768,970230,-1,151980,-1,896165,263817,93192,489894,123823,745483,-1,756745,-1,658090,14325,-1,-1,290810,-1,-1,747755,573266,319393,33673,660457,-1,-1,624723,-1,-1,25538,-1,221090,-1,-1,-1,850720,33211,179658,16551,319851,780594,-1,473291,-1,-1,402359,-1,-1,-1,683169,-1,175172,244043,-1,936660,-1,48808,713270,-1,488317,-1,319216,298933,-1,-1,881823,431294,524842,889454,623144,860097,565793,-1,4451,35310,161080,879713,853106,-1,173976,-1,-1,485336,-1,751042,-1,214029,397593,-1,-1,-1,-1,908114,-1,-1,-1,-1,-1,-1,786727,179334,702156,165864,780871,440609,-1,-1,-1,-1,581299,528897,-1,-1,552423,95247,13686,360704,-1,-1,129312,-1,227980,-1,633321,-1,756581,-1,717540,-1,-1,141928,182414,871772,653936,302919,-1,-1,-1,389440,612000,-1,-1,-1,497960,464396,402181,-1,-1,812130,-1,-1,-1,306933,-1,164296,-1,515196,830471,528406,493565,737441,-1,-1,805944,697751,878792,917311,848706,783725,982581,811159,-1,703695,-1,435750,263663,-1,501919,114704,49998,268223,9991,-1,-1,911587,137253,-1,371998,-1,383141,10119,-1,-1,449513,-1,-1,-1,355912,631027,-1,-1,-1,-1,-1,650138,82698,879052,780028,-1,32563,-1,159856,-1,323907,-1,-1,562525,74199,-1,-1,-1,273940,21592,-1,-1,-1,-1,471204,-1,-1,-1,-1,549877,302730,-1,841606,-1,-1,264515,287501,-1,919107,160624,-1,-1,-1,342982,549044,-1,372316,-1,-1,930054,548323,-1,-1,957928,-1,613834,-1,687474,405403,-1,-1,587526,-1,-1,-1,-1,-1,131977,992248,28173,-1,-1,425273,739277,58637,-1,21705,467336,-1,201703,471252,-1,911775,646442,-1,40382,-1,283451,957347,-1,759081,163313,-1,901572,-1,-1,750444,538532,140347,-1,644523,887092,386878,-1,-1,-1,666648,671418,-1,827096,974232,224563,-1,-1,-1,472081,675924,-1,334072,-1,-1,-1,49190,-1,873966,-1,365155,182937,-1,-1,-1,-1,518637,-1,841579,151985,-1,476533,532982,977971,-1,698419,-1,749086,516225,411132,-1,-1,-1,-1,110854,49932,218142,942369,-1,-1,-1,857367,925221,-1,-1,372493,-1,245582,491685,-1,113058,215363,-1,97567,798752,-1,600030,-1,-1,-1,-1,158045,-1,-1,-1,953279,-1,-1,-1,-1,560946,434940,217668,-1,-1,-1,-1,-1,304526,-1,-1,-1,-1,-1,678836,733100,-1,479986,945430,-1,-1,-1,-1,949636,-1,-1,-1,418837,290406,732186,-1,-1,890469,158628,-1,647596,58504,-1,131891,879741,-1,-1,162844,322232,-1,940606,-1,-1,287919,687154,790831,721148,-1,-1,-1,195108,628623,487155,968005,415834,6342,151362,-1,475420,681851,-1,-1,323649,-1,447807,213056,-1,-1,-1,205485,588703,-1,956934,-1,362216,-1,498683,266372,178769,-1,32678,-1,-1,730005,-1,228307,800284,-1,-1,-1,-1,-1,418578,45121,819660,633054,468000,718225,109591,-1,221756,893267,496075,879136,-1,144517,626646,284241,437291,61401,-1,212270,923994,-1,-1,796752,226681,611025,535821,812795,-1,-1,363837,-1,169163,-1,264518,-1,99275,-1,998130,-1,474778,31073,258609,-1,-1,303418,751551,-1,325773,888754,687005,121459,508746,-1,-1,763970,-1,689619,383012,317365,-1,-1,-1,-1,199019,-1,721814,-1,-1,-1,-1,650619,562744,-1,-1,-1,-1,409211,286314,596430,-1,911890,-1,613161,463923,492900,35447,753241,143916,-1,896774,-1,711642,527039,771667,-1,-1,-1,291992,-1,-1,175794,492785,607858,68130,793447,129091,835835,-1,319235,-1,355000,594572,-1,370763,291004,-1,579204,-1,711697,-1,-1,-1,-1,177805,943977,605727,264265,-1,184898,-1,220073,139094,775498,-1,178544,260119,117513,-1,668924,266437,-1,277077,-1,44300,810362,-1,-1,-1,-1,113753,-1,23440,-1,835572,-1,741315,240276,-1,-1,-1,-1,-1,453739,540300,797357,903099,-1,281830,-1,20053,-1,-1,-1,97387,-1,-1,-1,-1,990269,-1,207961,-1,663015,-1,550770,608907,-1,-1,559617,-1,-1,691469,897156,-1,378574,-1,400247,191590,-1,-1,713766,903456,-1,-1,184788,-1,787835,610368,469035,-1,278678,478493,-1,704626,-1,-1,657655,-1,752674,-1,743500,237052,438979,-1,-1,619727,320949,-1,580594,-1,-1,-1,-1,-1,-1,628390,906097,-1,304328,2245,288000,-1,315602,-1,-1,37937,-1,214894,518502,868587,431700,879916,26084,-1,-1,957628,-1,-1,359246,718964,-1,-1,-1,-1,-1,234372,-1,349165,-1,697746,581861,-1,304337,-1,441741,-1,-1,919462,-1,335285,-1,665180,612044,-1,582772,-1,-1,-1,-1,-1,-1,-1,-1,945281,398829,115935,867556,730454,59312,-1,-1,14414,74595,-1,945337,975663,260966,-1,595418,-1,533723,-1,932774,165159,695151,-1,339513,600048,594856,-1,-1,-1,-1,812590,427387,381236,391083,-1,398926,724606,-1,-1,-1,329139,12976,-1,-1,85060,797825,-1,-1,83785,-1,-1,654355,149345,-1,-1,-1,-1,786217,907096,-1,-1,710937,507959,-1,-1,-1,326213,-1,585552,763075,-1,706058,497430,361875,979902,99126,814996,-1,-1,-1,-1,917175,-1,-1,-1,-1,-1,739488,-1,578366,827903,-1,105298,877577,960440,-1,588590,493358,-1,-1,-1,742973,43101,-1,510408,-1,751300,-1,338695,168744,-1,-1,4045,-1,886114,-1,-1,639578,-1,721092,-1,-1,480313,-1,137817,-1,691524,-1,198612,126204,-1,-1,565088,-1,-1,-1,-1,-1,640256,696484,264186,974995,-1,98303,-1,-1,481125,3694,481700,513835,-1,334131,-1,524218,684400,730824,809014,-1,-1,895693,-1,988781,367426,-1,-1,325054,435542,502093,-1,774428,719414,279533,689538,70933,-1,168662,-1,-1,-1,470884,-1,-1,306831,-1,255849,21812,-1,-1,-1,955951,128854,-1,353547,497815,-1,260878,160822,821916,-1,-1,-1,224046,-1,786279,921860,-1,-1,932426,609770,-1,-1,-1,319922,366033,-1,-1,734583,-1,-1,-1,79315,-1,-1,-1,518886,-1,262053,-1,623464,-1,184813,460742,-1,596796,-1,-1,-1,-1,80570,-1,608291,907302,744939,776250,410803,-1,229839,834225,742564,16660,981817,-1,-1,587940,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,773219,72843,284193,301239,-1,600561,713373,939025,316037,973085,-1,-1,-1,956593,-1,871199,-1,781949,474597,823388,-1,-1,-1,662221,-1,-1,-1,900411,-1,446801,511203,-1,921155,-1,787953,172355,-1,-1,856005,-1,891081,701279,-1,656826,-1,-1,-1,-1,-1,915796,-1,521471,-1,-1,490458,-1,672902,15663,-1,709035,-1,-1,879144,149892,-1,-1,809376,392786,323081,-1,-1,-1,136388,-1,-1,726574,729254,-1,582328,-1,-1,299125,-1,-1,-1,632600,731511,-1,716344,78165,850996,235921,-1,538443,-1,-1,827344,-1,102831,-1,-1,879873,-1,139661,-1,823865,-1,-1,843721,-1,-1,735341,-1,889903,-1,639113,-1,-1,-1,-1,99156,841775,188689,-1,-1,-1,70957,-1,-1,769010,-1,890392,-1,546900,636752,-1,945199,237008,-1,91778,746395,190913,728258,-1,-1,-1,560411,707138,309295,-1,-1,8747,141960,218665,-1,-1,991314,-1,-1,710523,971253,422346,173518,-1,-1,-1,375637,-1,683688,937536,-1,-1,506778,-1,-1,347432,555738,367224,101593,509866,-1,286916,786689,-1,488333,477776,725320,-1,-1,988279,665915,232054,346219,-1,420465,539782,-1,-1,608381,-1,726085,-1,318144,117021,-1,709109,520187,-1,-1,660281,751280,-1,27370,-1,-1,-1,-1,639726,814511,712695,-1,40998,160975,356792,-1,-1,201282,278613,-1,-1,-1,586759,574286,128106,-1,-1,817140,297306,698174,-1,774761,633060,-1,278119,105005,991705,-1,-1,229788,-1,50409,509109,-1,-1,356405,784233,494844,-1,832229,-1,137723,962381,-1,-1,117240,-1,-1,374287,206938,-1,-1,-1,-1,-1,-1,845567,-1,-1,435561,272678,-1,-1,-1,-1,-1,-1,112843,496999,-1,176534,-1,-1,-1,-1,-1,-1,-1,650518,660112,677592,-1,173728,-1,252938,-1,439706,601535,-1,623842,824503,548559,-1,-1,19778,-1,652447,-1,55592,-1,-1,-1,-1,287188,934546,-1,470760,342196,492342,833800,704781,348528,932256,-1,78931,668925,545074,-1,987732,-1,908808,744483,-1,618128,189646,292694,-1,143246,656353,-1,198598,136864,-1,-1,923834,254508,-1,-1,146072,-1,-1,434653,-1,-1,-1,584189,959380,-1,799398,450626,-1,29763,526574,174983,955593,939240,834366,-1,-1,696826,-1,-1,-1,-1,221506,812617,-1,-1,873006,382207,769291,-1,236413,8771,645556,-1,-1,-1,136838,-1,311735,-1,-1,-1,701547,-1,-1,889300,862484,591384,-1,537329,616908,485479,-1,645821,767739,311897,597340,-1,-1,813127,653692,817955,-1,264813,335547,127478,-1,-1,-1,-1,-1,730190,195016,-1,-1,-1,917892,-1,642470,-1,-1,-1,794327,294908,-1,-1,336129,553449,-1,-1,2570,-1,293993,815110,-1,-1,344246,280461,-1,63409,-1,-1,-1,-1,387944,824858,-1,360345,-1,-1,-1,-1,597013,43514,671995,694800,-1,-1,943132,-1,177527,449169,-1,-1,-1,-1,-1,507105,175951,-1,504296,149857,-1,-1,-1,-1,979467,-1,-1,-1,875484,-1,824624,234029,935992,997101,151237,560870,-1,519864,-1,496864,998937,-1,-1,339669,-1,345369,-1,-1,-1,188668,903299,725239,-1,544076,-1,277844,127466,-1,-1,-1,809706,-1,143247,-1,178913,67610,-1,658042,423364,-1,-1,481698,133681,-1,-1,-1,85090,-1,628364,778442,285529,-1,602884,343407,-1,-1,-1,296579,-1,478472,-1,-1,833420,-1,-1,946831,368382,309558,-1,442867,-1,-1,369238,218160,705275,-1,-1,-1,-1,336987,-1,-1,669974,268329,594288,891423,261730,-1,-1,94886,678223,-1,-1,-1,989713,803656,928042,-1,156972,-1,-1,-1,224502,221776,-1,637215,-1,816478,-1,289761,-1,163444,-1,538078,330581,-1,823613,-1,197354,-1,-1,20086,-1,423677,361810,451629,881015,-1,928251,720682,691019,45089,290590,221350,-1,-1,85861,-1,-1,803133,-1,740862,-1,-1,-1,22487,-1,918544,-1,172625,-1,995639,885900,-1,-1,-1,798403,-1,39750,-1,108239,-1,-1,386113,-1,-1,74383,-1,-1,725008,-1,19956,-1,937294,-1,-1,-1,-1,-1,135298,-1,-1,-1,-1,105464,56548,606888,-1,-1,-1,771017,-1,511112,-1,-1,692464,-1,-1,-1,-1,-1,-1,809638,224828,-1,53472,-1,-1,-1,547581,-1,276020,616316,640060,-1,-1,178051,-1,658848,-1,625863,-1,-1,-1,-1,-1,-1,918384,636761,-1,474228,-1,-1,687956,132108,-1,-1,804900,-1,-1,945949,-1,869604,914665,902537,74979,-1,-1,560419,-1,-1,-1,-1,643775,-1,-1,838369,537542,368785,276363,-1,-1,563919,332749,357234,-1,-1,101796,-1,9848,512396,420857,50238,805971,-1,664671,-1,741677,845298,190733,93153,-1,-1,497175,145106,-1,-1,308320,-1,-1,-1,17136,715880,675759,-1,-1,-1,107238,432180,-1,-1,-1,-1,259992,157279,327882,966480,-1,847581,-1,-1,-1,-1,-1,12991,-1,333406,223870,80318,-1,567580,-1,405276,517947,-1,818106,-1,-1,-1,-1,-1,997946,-1,-1,-1,372951,814303,678501,-1,-1,751377,-1,-1,-1,861373,985152,-1,-1,949512,359320,-1,-1,480753,696808,-1,-1,630829,-1,-1,879851,-1,-1,116687,-1,795644,-1,-1,107504,276683,-1,-1,-1,-1,-1,85655,955683,303074,-1,-1,-1,785504,637445,785293,-1,34058,-1,-1,172381,519990,-1,-1,-1,-1,844517,-1,-1,91250,-1,-1,-1,814842,-1,992353,980252,215644,-1,935826,351084,-1,-1,540254,663011,-1,335407,-1,-1,603887,-1,-1,-1,464388,429489,161365,518749,518917,-1,-1,851517,-1,-1,475855,-1,-1,316141,349459,-1,831324,-1,-1,16728,928620,900945,457088,-1,-1,-1,-1,108084,292571,-1,-1,326900,432781,-1,654247,-1,-1,168225,-1,368875,326994,345954,-1,149686,273246,-1,-1,19719,-1,-1,105856,264605,-1,220853,842057,857360,-1,-1,-1,937105,582149,-1,-1,-1,802802,-1,105589,-1,-1,123859,-1,-1,479838,-1,96784,725819,-1,760202,-1,143471,-1,30689,-1,87175,-1,-1,969102,330621,301506,-1,-1,-1,955468,327263,697577,863024,-1,710409,307498,411978,-1,880910,-1,-1,-1,902212,897437,-1,-1,445527,-1,-1,282387,-1,-1,-1,529630,-1,113626,46767,-1,-1,303307,418686,991404,-1,964288,82509,-1,-1,161748,-1,-1,-1,-1,983264,884437,-1,30321,-1,357074,756444,-1,-1,248772,-1,826134,267756,-1,-1,868208,261515,200183,271287,198075,161592,-1,624406,-1,716026,-1,-1,-1,51266,270233,-1,937718,669967,69206,304519,60695,591138,-1,-1,658816,527499,330203,544827,483253,362661,835557,837289,-1,345433,239637,-1,-1,-1,158000,-1,223131,-1,-1,395867,-1,223670,-1,70055,-1,-1,-1,-1,151452,594924,-1,-1,267673,-1,917784,561465,-1,454275,-1,826609,551779,-1,939376,-1,345873,118995,782085,340689,488748,642849,-1,-1,-1,553325,-1,230550,-1,-1,-1,-1,1976,-1,-1,853833,229886,-1,96053,644559,-1,743103,632418,-1,82915,729376,-1,-1,-1,996916,-1,561517,-1,-1,788423,928744,321538,319452,-1,-1,-1,578526,117114,366240,-1,-1,330787,-1,-1,-1,529906,-1,63187,-1,618167,517845,904130,983446,995299,-1,-1,411795,161719,-1,-1,988993,649928,-1,-1,-1,-1,-1,748753,-1,-1,-1,290740,573165,652154,-1,-1,-1,680066,801512,-1,-1,-1,-1,566416,-1,-1,-1,-1,330158,512637,-1,-1,724855,407073,99033,517069,-1,-1,168204,876654,-1,-1,965958,-1,-1,-1,301863,-1,662503,-1,-1,83461,-1,-1,388944,-1,49539,-1,-1,108937,-1,-1,70958,-1,-1,-1,-1,848653,-1,-1,31371,680622,-1,-1,-1,-1,-1,377234,-1,698951,-1,-1,-1,851420,215737,623412,-1,-1,-1,12433,3951,-1,629255,998267,566042,-1,625375,377858,19544,683731,-1,-1,505687,-1,-1,-1,-1,-1,792206,-1,164385,-1,229512,896043,-1,-1,-1,-1,-1,-1,412079,636728,-1,886328,-1,-1,-1,-1,854101,-1,12890,-1,799065,887897,-1,-1,-1,11217,388555,-1,790470,-1,418750,-1,532418,699705,213697,-1,189404,-1,-1,932093,906785,894328,869151,-1,353793,941853,-1,-1,-1,798110,323293,-1,-1,426835,-1,-1,457219,-1,-1,21339,-1,361288,-1,556109,-1,920833,196110,572670,893431,-1,292198,974264,344102,684214,-1,547002,388239,333491,92018,428221,-1,-1,-1,-1,-1,-1,983834,-1,485602,-1,-1,51791,-1,-1,572751,828515,-1,-1,-1,422737,-1,819044,-1,568345,-1,409693,118566,-1,410559,823324,-1,354081,-1,82723,-1,685850,-1,537684,559566,605153,448316,-1,-1,834461,-1,34377,-1,-1,-1,122575,651833,779685,532425,980260,914832,849240,-1,-1,-1,-1,822992,936989,658257,101355,-1,-1,-1,240520,-1,-1,-1,-1,366314,78335,-1,-1,139700,893600,-1,-1,175693,705257,878053,508891,-1,285487,-1,146228,840414,-1,-1,269642,453901,-1,477735,964923,732148,-1,-1,273091,-1,-1,-1,-1,559046,795761,337520,938871,830863,673770,640904,-1,-1,501840,-1,856137,186543,-1,-1,233087,-1,52846,-1,-1,-1,-1,-1,-1,585992,194521,244488,-1,22283,-1,416484,395953,-1,749747,916695,572237,531473,488605,-1,-1,143034,102718,767433,883834,-1,-1,330009,-1,75425,508397,309656,-1,486848,-1,-1,-1,124062,402702,-1,-1,180951,-1,-1,-1,302921,-1,-1,188400,-1,26973,883788,846506,-1,-1,72714,-1,-1,334009,-1,-1,-1,283282,-1,-1,167495,-1,-1,-1,-1,250274,-1,-1,216703,571716,-1,-1,-1,649954,954109,651,142317,-1,835576,877592,348784,-1,-1,-1,765302,-1,587596,-1,102056,821982,-1,-1,903424,590562,169516,845972,830540,795034,-1,-1,620275,991010,-1,866194,-1,-1,237357,702622,549258,535540,-1,-1,-1,-1,-1,811852,327885,-1,-1,-1,-1,612102,-1,-1,304485,-1,-1,-1,-1,890962,620165,-1,-1,-1,338753,66314,-1,-1,-1,-1,-1,449239,-1,998307,-1,-1,443157,392924,579562,-1,747604,28184,-1,-1,344274,-1,-1,698736,330478,-1,-1,-1,-1,388011,-1,115878,828831,-1,-1,65087,224508,-1,839416,-1,-1,-1,285679,-1,988349,456405,282297,-1,754870,603061,339868,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,823805,227003,-1,-1,429269,975376,-1,261618,307753,451547,-1,391093,-1,-1,-1,690748,35490,773753,788867,879728,-1,-1,-1,894588,956661,-1,390521,-1,59450,668574,718460,-1,-1,-1,731314,-1,249718,-1,-1,-1,869868,-1,561521,-1,-1,-1,-1,167325,695238,-1,73297,-1,804085,61360,-1,-1,555845,-1,870808,760568,509581,555839,874184,-1,655994,-1,-1,-1,547689,964244,-1,-1,951250,-1,-1,291237,-1,535323,222773,955261,-1,764429,-1,-1,414217,882037,162651,-1,-1,148554,799559,-1,878024,837491,-1,-1,-1,3913,-1,-1,967070,113342,491751,797713,630077,710898,-1,193592,-1,721191,916536,-1,561631,-1,-1,463389,-1,-1,706734,267435,-1,-1,-1,139502,556244,538188,562933,419999,-1,620368,863381,131771,-1,667621,668593,120965,5688,-1,-1,944439,549200,845712,331336,73408,532665,-1,-1,-1,-1,193216,-1,859551,425622,184914,-1,76622,-1,-1,438240,827574,787134,-1,-1,494446,138401,-1,331283,-1,-1,-1,360219,-1,-1,-1,-1,-1,242070,344478,-1,-1,724702,-1,281333,-1,-1,95054,288911,964443,-1,-1,-1,-1,-1,-1,-1,-1,79751,-1,-1,466296,68518,-1,-1,779034,741586,-1,993707,-1,-1,-1,-1,236153,-1,-1,949453,-1,-1,324653,-1,430081,-1,468258,106041,-1,-1,-1,-1,243478,-1,30979,-1,-1,935362,565344,277906,532,763962,461178,-1,431399,672966,-1,183867,-1,374637,-1,840303,-1,-1,877127,-1,234205,646108,-1,-1,339439,-1,435450,-1,-1,-1,-1,541073,-1,-1,295719,888188,796689,841308,-1,-1,-1,293798,552715,-1,770782,946409,218997,26089,-1,-1,706906,-1,-1,-1,-1,29582,737666,577397,-1,-1,-1,661357,629093,-1,345557,-1,390599,10546,-1,175674,-1,-1,-1,779211,651315,360660,760281,50815,69763,995494,28705,-1,429651,-1,630609,-1,560969,527158,-1,316516,-1,-1,-1,-1,-1,-1,874408,777779,-1,-1,-1,-1,-1,178519,-1,483081,-1,-1,310329,-1,-1,649163,-1,-1,525648,855097,467213,-1,74377,-1,-1,497699,-1,578489,-1,251526,-1,-1,802146,-1,-1,40418,-1,445532,-1,-1,-1,990307,788017,759147,-1,85651,609497,817256,741608,648196,-1,389141,-1,-1,201494,-1,-1,70135,-1,-1,-1,225572,-1,24478,590161,43315,842044,923245,-1,-1,904719,-1,903705,-1,-1,13007,-1,874606,72350,202054,115119,837638,346242,-1,-1,-1,-1,220134,865459,138436,-1,999613,54356,-1,570215,542755,-1,-1,623021,232740,61664,894236,-1,-1,749390,879387,-1,66649,368826,-1,365313,-1,860087,899182,-1,-1,59965,-1,-1,-1,756483,439661,366421,-1,674722,-1,-1,-1,663126,817231,-1,-1,70104,-1,-1,931671,905433,-1,-1,834518,-1,830935,-1,-1,-1,-1,927549,419214,128158,-1,-1,-1,-1,28947,531273,747328,-1,435506,579700,-1,239887,857242,-1,320440,510316,-1,-1,533922,-1,-1,708134,-1,957855,986063,-1,35535,860827,-1,-1,251545,-1,-1,-1,223009,-1,21564,-1,300971,-1,-1,-1,-1,-1,-1,-1,739802,8786,-1,-1,267266,-1,440758,757001,-1,158187,-1,73047,-1,-1,424234,-1,-1,-1,422671,457257,-1,-1,10116,-1,932725,790828,818496,-1,-1,786731,-1,618365,-1,223556,-1,-1,-1,-1,-1,373161,791059,434402,205037,-1,-1,752091,-1,156038,-1,376381,-1,-1,172726,-1,-1,146807,-1,-1,747078,-1,-1,331171,942004,-1,-1,300345,922830,-1,101961,740058,-1,-1,655075,569932,443934,-1,-1,-1,-1,-1,-1,597417,916072,535606,-1,-1,-1,8563,-1,-1,-1,-1,485841,494846,907728,-1,-1,-1,863832,-1,623690,-1,852887,871892,-1,-1,448489,-1,-1,-1,70289,-1,-1,725299,-1,-1,511778,102253,-1,489454,-1,-1,985984,-1,368751,-1,555027,706713,295404,479819,-1,-1,-1,870049,136709,-1,140727,987637,-1,-1,-1,-1,730429,372250,965381,509231,-1,-1,236192,366960,495432,947574,741195,721674,286482,404898,518537,607786,-1,804437,411118,-1,-1,-1,408146,-1,609388,-1,572589,267578,276928,-1,-1,810647,-1,964471,-1,668984,627468,802300,-1,-1,-1,-1,-1,-1,730526,638972,-1,978630,-1,961735,-1,-1,406615,10419,-1,118153,836040,-1,685438,-1,-1,-1,-1,-1,261363,73786,612226,-1,-1,-1,-1,-1,-1,-1,-1,383251,170539,220170,969347,-1,934861,791836,915460,16426,106894,-1,-1,-1,-1,402834,-1,233352,-1,-1,-1,2359,-1,-1,-1,-1,260689,929531,-1,959549,-1,184344,-1,-1,639774,-1,-1,-1,373086,-1,-1,470237,530658,-1,-1,-1,-1,-1,708234,-1,343314,883585,407041,-1,267174,-1,-1,897266,-1,521688,808794,410441,-1,486131,988218,399421,-1,162970,-1,163900,719648,-1,145433,-1,544940,118753,-1,610667,-1,-1,-1,852641,377372,204039,-1,318725,308744,-1,694721,580306,-1,-1,575962,-1,-1,618814,603088,-1,631121,430200,33730,90052,821621,562076,543334,584396,-1,-1,973785,-1,-1,-1,854592,211023,889319,380234,894805,-1,704858,-1,149885,-1,577836,655600,943489,950898,-1,-1,645865,-1,179501,256980,-1,510935,727036,220478,-1,-1,-1,473836,-1,26907,-1,309107,433624,350308,-1,-1,442409,-1,493129,-1,-1,-1,549428,-1,892703,-1,-1,466054,-1,501679,-1,73035,-1,-1,-1,-1,-1,703419,-1,875982,-1,-1,-1,-1,-1,845438,-1,419007,-1,893198,914205,154884,-1,-1,377642,562705,-1,362174,604124,-1,-1,580119,703777,669835,-1,-1,211655,-1,-1,220749,144901,848759,304148,-1,-1,784287,-1,5333,228219,-1,743778,-1,537137,-1,-1,663207,-1,-1,176069,-1,-1,-1,151996,-1,-1,-1,37020,888783,827679,298375,91292,-1,140135,295846,591264,-1,241876,-1,-1,-1,-1,939898,-1,928160,353665,341497,-1,-1,963895,594471,-1,-1,-1,878456,210915,215166,72946,-1,283030,-1,-1,386586,474566,-1,372609,-1,-1,801410,284962,-1,473398,196727,273283,217559,-1,171486,903327,897655,-1,-1,6865,-1,516061,-1,-1,-1,691159,312728,-1,515686,430379,-1,-1,-1,35494,263779,853447,-1,891632,-1,99716,-1,-1,29974,995749,-1,-1,-1,833579,188606,714372,296406,507646,767525,148138,854289,67395,-1,17151,233349,13676,422669,830096,-1,664588,584272,-1,-1,169757,-1,-1,122684,-1,-1,566890,-1,554930,768472,-1,974785,996506,193724,412032,212328,-1,773476,332056,931048,709873,-1,-1,-1,-1,20863,77538,494636,300860,548158,926278,891814,-1,509148,-1,-1,877148,-1,478721,721589,345426,-1,-1,196870,-1,-1,431913,699257,552663,580539,283838,532724,48183,553619,-1,400191,225017,-1,964114,-1,-1,707397,168337,-1,-1,-1,498297,-1,171930,619513,-1,-1,-1,489121,313945,-1,262993,-1,-1,791986,952739,343600,875318,-1,-1,-1,497727,-1,-1,23765,-1,-1,-1,166326,773209,494559,-1,-1,-1,-1,178150,45465,-1,22941,-1,754082,621247,-1,-1,804218,610286,-1,-1,514693,502601,577297,336376,395843,927623,542556,24357,-1,-1,400400,-1,-1,-1,204704,-1,-1,-1,647147,881317,860781,-1,442239,71633,-1,957142,291811,-1,-1,526116,321193,925929,231895,991666,-1,343684,472277,-1,-1,366746,648247,-1,-1,-1,-1,-1,-1,-1,695858,-1,-1,193210,228615,-1,866132,778541,-1,182851,-1,812516,-1,18414,923980,761314,511789,327108,878945,698774,446835,-1,129268,-1,645245,-1,313418,-1,-1,168741,-1,-1,188623,-1,-1,111150,-1,859112,345702,-1,635930,-1,-1,-1,-1,710258,-1,821866,-1,812215,-1,-1,799753,-1,-1,-1,-1,-1,126539,-1,275798,495066,345537,-1,-1,918595,721519,-1,-1,-1,831460,-1,-1,-1,938162,-1,629496,-1,-1,943185,670648,91437,-1,114231,-1,708124,-1,-1,-1,-1,397472,94585,-1,847419,172235,523123,791146,-1,291451,-1,686523,60491,193386,-1,-1,-1,80860,-1,638918,482476,-1,-1,773619,-1,-1,-1,-1,-1,-1,-1,685874,173395,-1,92613,498350,-1,867837,753025,-1,-1,-1,-1,-1,176026,12400,-1,918891,289491,993680,294593,-1,-1,347964,-1,438447,-1,633941,-1,-1,340774,842904,482775,44539,-1,856698,-1,975632,-1,-1,-1,756924,-1,-1,356974,31118,240333,-1,863743,-1,-1,-1,442442,329934,-1,-1,-1,-1,561198,486368,-1,-1,-1,-1,-1,277321,464039,-1,349369,-1,610388,995973,207891,-1,789571,-1,29704,119829,-1,575345,-1,251620,-1,-1,-1,600331,-1,478417,-1,31368,-1,-1,15118,62079,-1,-1,554037,-1,-1,743434,629718,961797,924838,153050,-1,-1,691105,392423,-1,589075,-1,-1,792713,883907,-1,225514,530347,-1,-1,-1,-1,-1,-1,923965,-1,156803,276100,-1,197103,-1,-1,95135,-1,404390,94383,-1,-1,-1,608941,148767,851278,603715,771501,364073,882487,-1,-1,243002,-1,572171,98629,-1,644554,610066,341976,-1,855575,-1,692343,374827,109292,-1,-1,112357,175997,574591,242185,-1,-1,256475,652575,-1,808502,379653,-1,745219,-1,544749,-1,-1,-1,664202,871019,-1,-1,686518,804704,323250,-1,813249,-1,532231,183044,552910,-1,41638,-1,-1,-1,849025,-1,152867,996229,-1,-1,830097,-1,519080,171858,234672,147537,383859,-1,-1,-1,31592,377369,-1,919545,763095,-1,893355,10998,-1,137952,-1,21061,-1,-1,-1,-1,103243,-1,238467,486761,-1,-1,-1,982010,422412,-1,29936,260420,-1,784992,-1,806849,-1,-1,-1,783639,330760,822500,608882,293096,-1,385442,935624,-1,-1,283097,336476,897404,147390,964661,118482,-1,596203,851161,-1,433558,-1,-1,437924,440492,-1,-1,133398,458405,-1,386943,189854,-1,-1,238868,327973,-1,757526,-1,785000,152187,-1,-1,-1,-1,-1,-1,512772,459322,-1,-1,-1,-1,658968,841561,-1,955789,-1,-1,218012,-1,-1,-1,-1,-1,-1,631852,-1,-1,25252,-1,593246,-1,-1,433002,-1,274036,77054,930496,-1,-1,306270,211862,903665,44459,-1,993820,765151,-1,-1,694781,963572,189336,-1,-1,-1,210070,-1,301888,29386,-1,-1,732893,939533,-1,6314,341645,465874,36954,-1,-1,751815,-1,-1,48319,544912,-1,-1,-1,-1,-1,-1,644937,-1,-1,-1,832016,618846,-1,686634,-1,870694,120365,-1,906482,-1,569937,652957,-1,217464,854920,226882,-1,215687,845081,167677,-1,173330,-1,568886,77064,634091,-1,-1,956117,936551,765424,818490,651128,-1,-1,162550,-1,437306,288141,-1,-1,-1,534100,-1,548033,421149,723503,391110,-1,473360,-1,-1,85269,753255,-1,615239,-1,-1,-1,-1,604780,685613,983411,713431,16810,79742,612003,353375,471975,-1,-1,283445,441079,-1,-1,-1,-1,-1,64166,776573,-1,-1,396207,490943,547542,590023,-1,-1,-1,-1,-1,-1,-1,250368,-1,538264,170709,-1,-1,-1,-1,972717,919336,-1,-1,231730,745900,336174,-1,952506,-1,-1,777022,-1,201340,-1,-1,899886,-1,-1,-1,-1,-1,-1,-1,-1,41750,-1,21986,777044,646117,675998,848891,28711,961217,256212,773068,-1,-1,-1,704399,308370,886221,-1,-1,212141,-1,-1,22984,-1,-1,956846,283534,323426,501933,-1,-1,962602,-1,854062,299775,-1,515117,-1,150697,364442,-1,947295,73829,-1,756173,-1,189376,-1,252592,297124,-1,609802,495886,883364,-1,-1,-1,624440,174503,710293,-1,141948,956539,391174,-1,370542,-1,-1,-1,-1,-1,-1,327648,34110,-1,-1,-1,623588,-1,-1,454786,-1,-1,-1,402213,-1,-1,-1,793206,-1,-1,-1,-1,207323,836774,-1,-1,761946,-1,452118,43561,443907,-1,145456,853087,326385,503849,19708,501158,-1,-1,-1,-1,212540,-1,-1,647964,350518,604006,247341,-1,995934,-1,131224,790484,-1,-1,-1,-1,182965,998706,-1,-1,355072,568851,-1,-1,-1,565378,588300,-1,35273,-1,955658,-1,699267,356613,154604,927405,-1,605028,-1,59059,-1,895562,595216,-1,698508,205361,508772,338309,696286,-1,362312,779913,-1,952124,-1,-1,541557,-1,260434,-1,51106,-1,-1,790546,50446,-1,-1,-1,471911,-1,-1,-1,-1,466383,-1,-1,502460,-1,961307,77815,473451,612357,-1,-1,-1,519153,318465,-1,519778,287056,-1,581802,983663,-1,-1,-1,-1,-1,684635,-1,648250,970009,340335,503875,628566,-1,533033,-1,-1,-1,302579,-1,-1,-1,-1,261852,-1,-1,203299,28521,82360,-1,-1,133326,888946,502355,-1,-1,-1,-1,-1,988682,-1,-1,153690,310647,-1,-1,-1,353393,833860,-1,216417,212955,-1,-1,127149,144116,-1,711488,181314,-1,345766,-1,-1,-1,-1,700391,373526,985319,732197,-1,354496,748599,581028,137715,-1,535303,-1,-1,-1,770432,-1,-1,-1,-1,559697,-1,-1,-1,369742,328187,-1,592370,-1,-1,187603,260235,-1,-1,-1,-1,-1,128579,-1,302161,896045,-1,597279,89183,-1,122783,-1,-1,395463,530267,260749,707991,349303,940026,806467,511544,-1,802409,807616,-1,810633,-1,875951,84641,-1,774126,264863,33301,-1,-1,-1,-1,-1,-1,-1,367842,878840,258722,-1,907200,619960,961232,-1,779011,-1,-1,-1,960795,-1,256689,-1,887856,-1,823538,140447,-1,512227,49700,-1,951866,680769,-1,-1,-1,-1,342238,-1,-1,882041,-1,430220,-1,-1,-1,-1,624319,-1,869192,120741,-1,485939,-1,-1,-1,-1,204325,882782,188855,102528,629907,-1,-1,-1,-1,-1,563868,-1,-1,921301,677491,189173,74562,100378,-1,762127,823340,641997,559551,-1,-1,-1,165615,89728,-1,543476,-1,-1,447212,563273,-1,-1,846683,524389,450863,468108,-1,-1,-1,200005,573742,-1,-1,-1,47165,-1,-1,370300,177486,-1,272720,-1,602139,41792,-1,271644,-1,265364,-1,-1,-1,725562,177613,271469,474251,835680,-1,-1,702403,719794,270022,15536,265820,-1,-1,739697,586049,359518,-1,872079,220763,913235,439783,7449,887601,-1,671844,372211,-1,-1,-1,-1,-1,-1,-1,246654,200407,271122,-1,750281,456189,-1,-1,37249,279107,-1,23097,-1,-1,205729,-1,673396,17108,470046,-1,-1,442182,-1,496158,-1,8071,-1,933401,478019,907955,-1,197970,458256,-1,140982,-1,928836,67772,142114,949847,747043,-1,945901,277605,646205,100309,-1,603994,-1,-1,272586,-1,67798,-1,156022,-1,539323,-1,-1,628899,-1,-1,-1,-1,204144,-1,506359,-1,-1,-1,266604,214579,866755,377588,-1,-1,101635,660432,395744,-1,-1,-1,-1,-1,117582,-1,105681,-1,799484,494361,68129,-1,-1,907216,513887,462086,-1,659369,135761,-1,808956,-1,-1,-1,-1,636219,38353,-1,424477,357600,938104,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,355144,-1,-1,735179,519161,696699,-1,-1,-1,221821,667691,-1,-1,-1,-1,605633,-1,-1,-1,876702,134903,-1,727256,398566,-1,224448,388502,761101,602280,-1,-1,947024,-1,-1,985610,338591,251375,-1,126040,447648,295531,577658,793202,920578,506392,-1,-1,-1,623921,-1,491394,694974,93836,53700,153695,-1,-1,-1,253918,-1,255138,912848,-1,431273,899784,75706,153484,585328,295343,531450,12995,-1,-1,-1,-1,371311,883518,380035,388174,421084,211629,444073,266306,-1,148132,-1,106275,284481,566333,-1,-1,-1,-1,-1,401924,464554,479220,610983,-1,-1,-1,415137,-1,-1,-1,-1,962083,502663,16258,-1,950642,-1,417207,-1,360519,-1,77184,637722,-1,-1,-1,493133,515316,296395,205716,185888,-1,-1,-1,650824,247024,-1,-1,-1,13679,-1,-1,-1,-1,-1,511363,262207,-1,609801,674189,-1,847726,363930,-1,148759,794631,240881,-1,773535,-1,-1,493779,502616,374743,753002,172975,-1,-1,-1,-1,840687,559948,-1,-1,-1,744589,-1,254778,-1,232956,669275,-1,-1,-1,858631,489874,417176,-1,-1,389566,604530,-1,735097,-1,713847,462733,-1,169254,885009,410233,-1,-1,-1,-1,-1,677435,922175,-1,748587,-1,794836,684231,-1,-1,-1,-1,-1,759360,-1,-1,452722,-1,-1,-1,-1,89995,-1,189256,52374,-1,-1,-1,-1,573006,357967,85769,761017,-1,-1,772696,-1,829829,661100,-1,-1,-1,863595,-1,-1,-1,-1,568941,-1,571723,202236,185356,707074,-1,-1,167947,366666,785974,265968,-1,950054,-1,-1,76022,840283,743746,211501,765639,-1,-1,838553,425802,667704,677858,430754,-1,771774,-1,984665,-1,765295,-1,-1,-1,-1,294298,-1,190645,241752,872517,-1,88150,254199,-1,-1,-1,516614,-1,727932,219849,952758,404085,-1,-1,422108,-1,-1,575415,973021,927059,154223,61477,339364,-1,407154,949011,964710,-1,-1,-1,769970,557662,-1,415774,818985,239253,-1,-1,933589,-1,-1,585832,-1,-1,22811,620845,182480,-1,891828,-1,864909,-1,481221,291017,-1,800133,63574,-1,-1,470940,-1,-1,-1,543771,-1,-1,-1,-1,799626,417606,-1,-1,756782,353315,157061,305427,-1,-1,380312,804378,-1,466555,-1,-1,226415,784666,645885,792291,907428,610770,585409,-1,704459,369867,-1,297787,517068,853888,-1,-1,-1,854642,-1,872485,-1,894082,625388,726930,-1,394026,982166,653505,-1,839924,-1,-1,-1,-1,-1,312905,454315,-1,364948,966192,-1,-1,217578,-1,932115,-1,-1,-1,102129,416513,-1,402116,-1,-1,-1,888820,-1,-1,531822,400898,-1,968768,-1,919955,689242,-1,-1,-1,208015,-1,-1,851338,958386,-1,-1,71558,991662,-1,935999,-1,23063,322638,880510,-1,266076,713483,666045,914704,333955,949053,-1,-1,488129,-1,-1,-1,837820,775928,-1,123394,283444,-1,-1,563685,420208,-1,413132,-1,675597,-1,-1,-1,255356,-1,332530,84222,131680,-1,662214,-1,390138,953669,702411,-1,-1,-1,-1,907342,207649,804976,-1,-1,743546,896879,96168,277539,-1,865759,-1,735447,617507,50894,61208,-1,686603,622466,-1,506022,-1,906974,-1,729082,-1,11614,-1,217552,342251,-1,-1,721712,-1,-1,469285,-1,-1,123424,658233,-1,-1,549677,31619,-1,-1,-1,-1,-1,508246,-1,169723,607271,426903,270682,-1,-1,247488,-1,385559,293956,706561,-1,-1,87285,-1,-1,-1,545057,963803,430275,431845,902569,902243,503640,814463,-1,-1,426216,-1,802810,-1,-1,784552,856497,-1,-1,-1,107443,789951,-1,462138,908323,48079,44230,705964,932908,-1,-1,535372,314457,381823,747996,-1,809218,148670,986362,714182,997561,-1,-1,-1,-1,642891,517547,-1,683312,738378,327917,-1,985013,-1,259116,-1,-1,992957,-1,-1,543775,921348,959452,341209,969719,-1,948615,-1,-1,-1,-1,630788,-1,-1,-1,45651,326261,515337,827962,-1,161921,-1,-1,488087,646786,-1,-1,351178,-1,-1,-1,738447,969365,-1,-1,-1,-1,924416,820668,-1,409203,-1,529318,176977,911871,376391,-1,37936,-1,125740,556099,-1,-1,-1,695914,290696,973507,-1,975923,76029,563501,-1,934601,833421,-1,-1,867103,127028,89178,803485,542378,940436,159080,-1,-1,-1,-1,-1,-1,-1,-1,36172,884370,-1,95561,42550,351911,631686,-1,889844,-1,-1,-1,-1,443878,-1,796627,-1,-1,-1,-1,-1,-1,-1,805292,-1,830068,657402,-1,-1,553227,-1,-1,-1,65555,886402,161413,-1,796828,-1,-1,371305,142876,-1,-1,330987,316464,-1,718058,879498,680194,-1,-1,-1,62988,-1,-1,-1,966133,108411,-1,363030,-1,980405,36497,-1,928873,-1,640163,-1,135285,-1,-1,509826,820785,-1,-1,678996,328375,519747,-1,-1,721355,-1,138805,-1,-1,650482,513866,788850,472299,-1,533209,438175,-1,677531,597174,109321,-1,-1,-1,876086,-1,293859,-1,-1,-1,-1,-1,289808,788138,-1,612457,-1,-1,637837,-1,569399,264702,-1,-1,735511,-1,-1,-1,38572,606745,341370,103451,269813,-1,228117,-1,113453,13038,-1,-1,394886,-1,230012,-1,682199,24547,-1,239670,854040,-1,745635,-1,241329,284546,219391,-1,-1,584942,353268,-1,-1,786598,-1,-1,-1,-1,-1,-1,-1,-1,260978,-1,855356,231342,-1,301534,-1,87221,550911,438117,873817,-1,-1,116099,790733,27060,-1,426023,27569,57655,690942,428736,602179,-1,251088,-1,140605,632872,-1,66776,-1,476612,-1,378003,68179,973177,-1,-1,398286,-1,-1,625064,653777,508436,-1,-1,-1,-1,-1,321198,-1,-1,974689,717962,-1,-1,997435,-1,800650,960577,-1,689130,-1,-1,-1,-1,-1,172818,86964,61978,583887,476316,563949,-1,-1,240158,-1,48948,538969,-1,-1,545781,792762,503789,272664,-1,784631,-1,388082,450033,-1,297927,830555,480390,14229,229561,-1,543032,528747,957242,733219,-1,707487,735357,-1,12391,-1,-1,385177,-1,381014,-1,169055,711713,783878,44945,63322,677743,-1,832758,-1,160545,536338,643794,533277,78688,1135,-1,-1,810195,-1,407631,297004,344539,238816,-1,749732,-1,-1,504097,-1,-1,-1,-1,478422,-1,902134,-1,-1,-1,-1,559415,-1,-1,-1,333805,-1,-1,-1,-1,95393,11939,-1,530418,-1,120494,381123,-1,-1,-1,213205,320408,-1,-1,-1,530704,-1,-1,23453,-1,-1,912638,-1,-1,425082,-1,499794,906245,-1,735909,-1,799758,-1,-1,652898,839413,580428,806689,-1,538651,240112,732410,675864,594530,872045,-1,589643,-1,-1,-1,-1,-1,595124,864274,-1,-1,-1,392225,607276,903956,-1,766235,244537,938839,-1,171088,727766,386172,-1,-1,-1,678544,-1,-1,-1,-1,139067,63278,826125,-1,-1,-1,576834,865724,-1,-1,-1,694954,-1,77270,511850,432588,-1,66509,-1,262777,-1,-1,777728,809267,-1,-1,-1,-1,-1,-1,-1,-1,276060,94187,-1,172067,-1,-1,-1,-1,-1,262022,867307,569866,75420,-1,513084,636370,748356,-1,485104,-1,-1,733465,-1,606229,437931,-1,421480,-1,962437,11021,-1,-1,-1,53663,1462,-1,130056,731077,-1,878237,9552,-1,535769,-1,468016,654564,-1,593197,298604,523780,67270,43552,442528,-1,834099,-1,-1,930167,695363,501229,889417,307270,-1,-1,-1,-1,524880,835152,-1,252383,619272,-1,-1,-1,156441,762139,-1,377264,-1,585256,-1,677744,38341,275938,-1,-1,-1,-1,932517,-1,488961,-1,-1,606217,888127,188347,-1,484287,787723,-1,903355,-1,544050,-1,466212,-1,-1,524847,763516,-1,912622,-1,487108,-1,-1,966341,367581,550599,-1,-1,-1,606700,-1,-1,801532,-1,-1,-1,-1,-1,554762,-1,-1,-1,-1,644362,520184,395481,-1,738299,-1,-1,925600,-1,401248,-1,427515,205607,-1,199043,818691,194966,453229,731809,542838,-1,219863,107898,148298,-1,-1,251862,769428,-1,757610,428124,414350,844425,-1,965518,-1,697939,394441,839284,-1,920072,851489,-1,150723,105162,582396,476941,619157,-1,488033,419769,-1,-1,618327,939413,652391,866811,562728,884674,-1,487274,-1,56370,-1,-1,59385,358787,-1,202386,-1,895973,-1,-1,-1,-1,-1,213775,713829,-1,-1,-1,-1,398478,709905,567856,545333,-1,-1,-1,-1,-1,-1,-1,-1,-1,561892,-1,-1,866157,589934,-1,-1,-1,-1,-1,-1,-1,405461,551970,812988,-1,183196,410884,863808,956532,865118,23554,746801,234904,169842,-1,90196,415068,356730,731159,964177,-1,656520,-1,-1,328188,-1,807846,265469,-1,-1,-1,-1,763534,577955,103709,735373,-1,-1,-1,237421,-1,-1,892418,345693,687467,663379,651084,480602,-1,597071,311953,232424,288958,-1,-1,648686,-1,264373,295227,-1,-1,793418,-1,638733,294346,438473,-1,943640,-1,742381,629117,-1,-1,331753,336385,645927,-1,-1,-1,-1,-1,-1,-1,-1,145990,-1,-1,-1,-1,197363,75551,624383,-1,652298,-1,-1,578891,958940,106585,567343,-1,848908,-1,-1,532466,458779,-1,939289,-1,548779,697856,604626,883180,690242,840047,-1,650369,-1,-1,-1,304820,-1,767491,126061,156137,453453,-1,469943,-1,924772,-1,-1,-1,744329,704305,-1,971787,615536,-1,240517,49022,183492,-1,-1,-1,775823,-1,830672,-1,-1,-1,817520,-1,-1,-1,167943,668685,158958,605185,-1,-1,912519,-1,416016,-1,-1,-1,673711,-1,198480,-1,-1,-1,-1,858044,682662,-1,39840,803091,-1,-1,-1,-1,-1,-1,-1,561843,-1,-1,-1,-1,-1,21220,679101,-1,118214,44765,-1,-1,-1,184446,800453,-1,555009,-1,463015,178154,460879,73313,-1,-1,240764,245833,-1,-1,-1,-1,981158,830735,-1,595992,782267,-1,-1,113343,-1,-1,146113,890883,756226,615588,-1,351941,449912,-1,198167,159057,136565,-1,-1,-1,-1,434128,-1,289776,-1,-1,82817,-1,-1,432560,-1,750166,-1,832175,75721,-1,999344,-1,811006,-1,992987,-1,826248,164837,209886,-1,297278,573434,-1,-1,326061,312743,569079,-1,-1,91248,149993,-1,185859,626723,-1,-1,402538,518503,-1,-1,-1,496644,65849,651164,-1,267614,834406,-1,-1,523997,-1,145129,274104,633313,566816,-1,806166,-1,156719,-1,870072,978889,-1,959072,-1,-1,982789,855374,-1,-1,772415,-1,-1,-1,923204,-1,-1,848814,-1,770530,-1,931615,531470,935232,-1,-1,-1,-1,-1,443769,-1,50868,267760,679718,-1,94662,-1,655860,853990,542473,736020,-1,61408,-1,355862,52666,274925,-1,-1,713336,-1,186767,306674,601336,426287,808791,273141,-1,147898,-1,923700,-1,-1,771653,638340,-1,40657,17799,395808,933921,-1,633808,137384,-1,132185,-1,-1,-1,271985,294870,-1,606195,581422,467658,931189,870208,-1,387615,-1,-1,-1,720783,-1,-1,432663,650828,455797,-1,908861,-1,-1,-1,468435,479405,799870,906436,935817,486538,-1,-1,-1,-1,99799,-1,-1,167828,-1,-1,-1,-1,37392,-1,860460,340484,-1,447857,-1,94931,-1,193072,207172,-1,902273,-1,-1,-1,664772,362724,604420,-1,145445,302198,-1,-1,112461,-1,-1,-1,483383,-1,360782,356944,478412,-1,-1,-1,452960,-1,236625,402888,-1,703861,963493,-1,-1,-1,-1,471584,-1,548647,-1,-1,972474,951398,-1,-1,793796,709936,928227,-1,-1,42909,-1,613760,-1,-1,679509,-1,-1,163716,-1,96850,574068,694222,-1,103026,-1,-1,-1,975697,830690,477620,-1,-1,669243,-1,90220,95688,-1,-1,-1,87235,169385,805907,-1,-1,107726,815326,46506,-1,337783,-1,695585,-1,724801,-1,809457,968125,966597,690289,339443,-1,-1,631825,836088,-1,-1,460133,736479,661036,654223,483861,364085,24936,156368,-1,791093,-1,-1,611726,54052,-1,-1,798347,-1,-1,-1,-1,321520,251838,238720,-1,18678,-1,548940,345189,-1,351173,-1,581017,-1,153364,-1,188499,-1,403176,407702,706531,-1,730959,543189,-1,-1,198327,-1,621978,-1,-1,707950,-1,-1,217212,-1,722091,685604,-1,-1,767595,-1,-1,-1,621689,-1,589278,-1,-1,238634,154835,63047,301968,-1,255824,54073,686071,-1,930012,-1,-1,48454,-1,220570,253174,-1,523522,-1,-1,-1,-1,-1,-1,345891,589530,810679,-1,462552,-1,-1,420962,297057,-1,-1,35682,-1,-1,156033,-1,232564,468802,-1,57397,-1,555729,-1,401967,-1,728458,-1,-1,-1,-1,-1,-1,451002,-1,562291,491525,608648,332137,-1,82892,-1,-1,779734,-1,-1,-1,295730,781136,-1,448370,-1,-1,476632,-1,-1,-1,958360,-1,170904,67125,-1,839857,-1,-1,-1,-1,211656,883164,746191,-1,724838,-1,660482,733628,160716,518394,-1,652641,-1,-1,570091,194642,-1,-1,-1,218917,-1,147710,-1,763410,761331,-1,-1,-1,-1,-1,252221,-1,-1,-1,688608,-1,662668,736934,-1,792807,19089,-1,-1,-1,-1,548881,-1,-1,822789,-1,446646,-1,-1,591782,282475,-1,-1,700593,47663,-1,116766,570518,279998,591075,-1,82555,249231,356656,709392,-1,-1,342230,388784,479975,114794,19656,486813,547065,-1,218967,108408,-1,745928,-1,285009,-1,29192,-1,251488,185186,-1,817346,671541,-1,82124,869288,606675,637455,679796,-1,-1,183446,-1,-1,-1,-1,-1,463965,75565,-1,-1,145744,215599,-1,663176,-1,894333,618733,-1,-1,864395,425555,951286,938651,-1,-1,509607,-1,674542,-1,770163,-1,-1,-1,616565,-1,833077,620131,374591,630388,-1,-1,-1,-1,318653,-1,171121,-1,-1,93630,613795,-1,790563,-1,987296,865238,659807,-1,-1,-1,-1,-1,400256,910565,237133,-1,-1,-1,-1,-1,-1,-1,4182,-1,16709,-1,397958,-1,234817,-1,-1,-1,-1,-1,-1,-1,662681,556261,-1,367252,505819,-1,841803,-1,-1,-1,-1,-1,-1,394501,392569,-1,616941,271591,-1,-1,967488,744875,672887,-1,-1,-1,-1,-1,-1,-1,-1,442922,564784,-1,-1,-1,428070,679916,484498,887695,615811,-1,242632,119326,166721,-1,-1,-1,653642,940418,548084,645689,239018,-1,387862,635202,629665,-1,107795,-1,162597,-1,554912,343857,-1,302212,-1,335757,-1,942908,219819,-1,375457,319948,-1,463270,130335,693629,-1,342148,363488,-1,-1,-1,-1,-1,688603,455253,524004,148562,666132,-1,-1,-1,-1,-1,-1,208179,-1,-1,704888,-1,-1,-1,661966,-1,695043,370107,963117,534387,-1,-1,369076,397233,-1,554774,-1,-1,-1,-1,940275,-1,190871,-1,-1,686604,-1,584487,342933,947343,-1,512795,769474,-1,-1,-1,-1,-1,-1,133871,-1,344893,724634,540264,784610,-1,-1,-1,-1,-1,-1,829774,760803,559087,-1,-1,-1,-1,-1,-1,529401,-1,534685,-1,884603,445986,-1,-1,-1,-1,-1,-1,519619,-1,-1,-1,-1,240071,522086,-1,-1,323112,225067,-1,981658,-1,-1,580494,-1,431800,-1,-1,-1,214778,-1,-1,628880,-1,183434,394175,812737,463557,730987,332398,345731,797351,384136,-1,764713,-1,-1,50723,-1,828539,518904,-1,-1,106085,264561,-1,696094,187383,421136,183967,-1,250618,-1,83719,-1,-1,931631,17934,700211,-1,-1,-1,-1,598594,-1,-1,186219,669716,-1,119379,-1,606499,-1,-1,817836,940152,-1,94555,237818,357721,-1,-1,-1,373908,-1,-1,-1,-1,-1,652203,-1,912628,681310,397142,704123,-1,-1,360007,511942,-1,227597,-1,840373,778830,574824,-1,-1,-1,-1,-1,-1,3725,413648,-1,83978,-1,335967,-1,-1,282255,-1,-1,655192,-1,22638,-1,-1,-1,731899,43568,371829,349702,101713,-1,-1,-1,-1,390118,374148,-1,406704,-1,194346,632318,-1,443132,-1,733938,601834,939319,834661,-1,-1,492051,607439,49141,532512,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,394389,-1,-1,720173,877262,-1,-1,114410,382584,797467,-1,-1,399169,-1,-1,451124,254611,-1,-1,70166,-1,-1,117658,-1,976965,643585,153557,-1,-1,-1,-1,171419,-1,-1,-1,632998,-1,-1,999964,937256,282311,600545,-1,615678,-1,419429,-1,-1,-1,-1,-1,-1,416473,2816,-1,-1,360473,577179,394391,-1,573838,-1,-1,585854,560094,-1,14867,579637,39348,247736,48741,492071,505288,998768,-1,-1,-1,-1,-1,-1,280570,941716,233367,847277,-1,142674,-1,367099,-1,154806,-1,14701,-1,506588,-1,-1,-1,706538,820456,422680,585919,184037,-1,829054,-1,-1,374032,33706,-1,-1,-1,-1,-1,525356,645551,-1,279643,321285,-1,250178,963094,376809,-1,-1,-1,541172,470087,763555,541677,664145,350521,6567,-1,550293,-1,-1,586295,558817,-1,187973,955801,-1,994537,929469,412411,-1,761698,-1,-1,-1,331012,698519,-1,-1,-1,439691,591336,775295,222149,80719,139191,934184,-1,-1,454357,5945,132627,107817,815213,303278,-1,-1,-1,117871,-1,-1,816902,-1,375449,393003,-1,519794,-1,-1,432871,835121,407959,381076,331258,-1,-1,-1,874938,784883,-1,518994,-1,422682,172474,-1,-1,-1,171655,785800,-1,-1,948089,-1,810426,-1,899080,337262,830183,-1,-1,-1,-1,593998,-1,-1,863911,-1,-1,-1,-1,-1,-1,885415,129482,-1,920265,327977,-1,-1,377581,-1,-1,-1,999085,7507,-1,-1,16359,330415,-1,-1,-1,927969,-1,-1,-1,456689,270355,382299,622987,-1,928291,10405,-1,-1,-1,-1,-1,-1,-1,376180,29872,-1,870852,733496,348073,-1,-1,-1,107404,523455,-1,129797,241215,-1,112902,462561,480163,-1,879192,853140,-1,-1,44183,416100,-1,-1,509104,195578,562953,674212,-1,-1,-1,524457,886268,897054,-1,925481,575442,794139,584282,-1,860835,-1,-1,-1,603668,333910,-1,-1,-1,118040,-1,-1,95971,570798,459398,863364,-1,-1,420228,391508,-1,-1,861105,-1,-1,-1,-1,-1,764170,-1,-1,-1,702545,32316,-1,-1,-1,-1,-1,-1,449341,-1,-1,379415,-1,-1,-1,-1,-1,31105,812598,955752,-1,326059,404934,-1,570755,-1,-1,-1,467452,88821,160942,545915,915153,325485,-1,-1,-1,-1,428994,463486,-1,-1,694923,-1,-1,-1,14000,-1,890030,656593,951620,297009,-1,557428,788121,-1,-1,-1,866150,-1,432177,-1,451650,-1,-1,-1,369617,631588,-1,-1,-1,553556,728425,935970,-1,395107,589576,-1,492970,-1,-1,-1,131107,528973,802261,-1,-1,-1,599465,38849,-1,-1,92573,-1,346585,579044,-1,-1,213526,806437,-1,102164,962315,-1,603182,-1,740283,-1,194273,642120,-1,153538,-1,-1,754346,632404,-1,930890,-1,-1,225940,-1,-1,-1,-1,-1,-1,229498,362655,125070,431722,-1,664984,-1,-1,157932,-1,-1,331245,994764,154909,-1,22956,799295,495739,-1,-1,-1,-1,-1,648077,-1,870163,986054,759052,-1,965242,329745,-1,-1,-1,2571,-1,413831,-1,-1,-1,-1,709609,338145,452965,-1,721115,819309,-1,-1,256406,473729,214538,952273,488171,-1,381512,-1,-1,-1,-1,751450,752756,-1,-1,422654,-1,293713,-1,729626,-1,193455,-1,-1,554317,-1,-1,240120,220807,699317,442227,-1,-1,-1,899085,-1,297727,183996,552225,-1,-1,-1,786030,526143,-1,35126,-1,-1,735706,-1,987937,663626,294083,799055,-1,54035,368404,-1,-1,970670,281570,377391,-1,146865,-1,96277,-1,59798,254679,-1,-1,-1,527888,-1,-1,831605,399976,-1,761199,243885,368438,-1,39255,982614,190184,-1,-1,-1,781168,-1,87313,907343,796098,711242,-1,-1,868869,-1,939420,447411,994888,-1,46206,848840,-1,-1,527851,-1,49936,-1,-1,-1,-1,833979,974886,536422,-1,939762,-1,789934,997910,-1,389823,-1,511888,-1,-1,144737,970845,-1,-1,574547,-1,-1,-1,-1,802152,195458,572797,-1,-1,629256,-1,-1,338980,-1,770121,77758,-1,-1,880610,-1,-1,505027,98097,-1,-1,-1,-1,-1,-1,868496,-1,-1,910583,-1,974167,208014,-1,-1,457912,665037,-1,-1,927031,-1,464117,536432,-1,921601,-1,-1,-1,957414,444310,560082,156964,280869,777526,-1,-1,-1,-1,335194,291828,-1,-1,-1,-1,-1,-1,804380,131853,970969,-1,-1,-1,-1,563076,241972,-1,-1,-1,-1,105021,-1,-1,-1,751152,366407,-1,-1,-1,417527,-1,-1,646503,535312,866213,891221,39066,335061,41744,593053,-1,-1,-1,-1,383674,518133,-1,565925,797655,-1,-1,-1,-1,366767,-1,944470,347312,-1,-1,502076,-1,134252,-1,587227,354722,-1,-1,-1,962962,-1,-1,481583,-1,7760,-1,592250,51803,922800,580104,-1,-1,-1,-1,663250,606955,-1,463897,31637,84047,511262,-1,961970,587835,888124,-1,-1,-1,-1,-1,-1,434348,226848,658504,851023,-1,385227,-1,-1,-1,-1,333932,737128,-1,-1,-1,784514,772429,327749,-1,621167,-1,335945,-1,615226,14291,-1,-1,-1,369216,849110,-1,-1,411842,-1,383234,-1,774988,198791,334741,-1,-1,-1,-1,-1,-1,122677,-1,-1,-1,-1,-1,904551,580021,279042,467104,79350,676334,851779,463211,-1,408180,739472,-1,-1,916388,-1,-1,-1,-1,-1,-1,-1,426017,32226,630149,-1,820388,-1,-1,-1,-1,-1,-1,791794,732743,575637,790651,-1,-1,705871,241383,825470,-1,903985,915961,-1,630299,-1,-1,500235,-1,-1,-1,985000,-1,-1,-1,450366,198662,-1,200805,573944,651330,896275,-1,-1,525644,656756,216365,-1,-1,904955,53329,-1,-1,671547,521358,303846,687750,330068,-1,-1,39822,-1,-1,-1,392215,-1,-1,-1,295217,-1,-1,-1,220452,380935,109684,-1,188902,834682,-1,-1,748122,-1,-1,529896,-1,422899,-1,47283,552624,856821,-1,934186,432357,606911,629209,862669,-1,-1,982416,-1,-1,-1,-1,-1,745192,-1,558947,-1,-1,-1,-1,-1,598838,767937,-1,-1,-1,-1,621292,-1,350898,216687,-1,-1,419843,-1,211827,933790,538586,-1,108761,509447,-1,-1,223034,532099,-1,917718,859254,454034,-1,500030,-1,141707,784496,856896,-1,-1,-1,-1,822181,-1,-1,-1,709671,-1,-1,86660,247804,742775,970303,-1,-1,-1,-1,977523,-1,-1,357000,776771,69723,665423,525213,449646,-1,-1,720314,-1,138432,352052,392550,-1,-1,-1,633571,-1,-1,186731,817486,-1,208623,-1,-1,968602,-1,-1,-1,424785,146724,-1,776216,306895,-1,-1,-1,-1,-1,-1,-1,184627,-1,205764,-1,-1,89537,-1,-1,-1,31596,749904,-1,80979,164715,-1,165404,-1,-1,79037,-1,-1,547908,-1,750170,-1,-1,-1,829698,-1,-1,204045,-1,-1,120810,501204,605620,995378,291105,-1,-1,159135,237189,-1,824492,443593,22146,-1,222020,21685,9265,945803,358639,-1,703361,464713,400619,-1,201786,280055,-1,-1,514872,-1,-1,131768,620107,-1,-1,588522,891844,-1,-1,-1,-1,-1,-1,62294,220597,-1,-1,-1,-1,673149,509699,-1,-1,-1,-1,-1,-1,-1,-1,-1,675063,19100,-1,964370,481272,-1,-1,874276,599430,160353,-1,481939,406741,511312,-1,523521,780563,-1,282847,-1,-1,-1,840282,-1,635616,-1,-1,453934,-1,309064,-1,274723,-1,-1,-1,-1,-1,419196,893844,864455,-1,165570,-1,-1,550579,-1,297288,-1,-1,-1,-1,-1,176300,86184,919246,896823,-1,-1,-1,-1,871587,272882,-1,481718,-1,-1,-1,380249,91589,-1,776404,-1,964916,792356,124706,-1,927858,-1,-1,897772,199747,-1,101897,270227,468745,-1,682809,4019,-1,-1,231047,226597,-1,-1,-1,-1,-1,773613,791987,675470,-1,-1,312025,969872,-1,200680,942684,76801,-1,-1,980597,-1,-1,-1,-1,-1,-1,-1,200149,-1,990830,-1,900607,-1,-1,576251,-1,96530,726423,190850,-1,635254,118701,-1,738097,86117,-1,-1,-1,-1,870458,793199,881532,728354,539617,454047,-1,-1,542463,899625,777618,796127,394213,889194,854596,-1,344125,489791,-1,392114,-1,821099,-1,579509,936481,29792,674391,-1,-1,935035,774262,140916,-1,68430,-1,-1,-1,-1,399452,-1,5330,799323,721556,771817,-1,-1,760291,-1,224228,-1,-1,298061,257423,78693,271452,-1,657087,-1,994192,-1,686402,-1,-1,-1,-1,102118,19942,-1,-1,-1,-1,-1,764145,-1,787838,-1,80430,469902,6475,67324,-1,-1,-1,417728,760240,15833,598929,985323,834933,-1,-1,685544,413045,-1,578433,-1,-1,295631,84838,-1,-1,-1,-1,100698,-1,-1,-1,-1,767087,110312,482275,-1,-1,-1,260023,33788,-1,472652,161268,-1,-1,6494,622252,-1,-1,-1,-1,-1,36012,204708,-1,-1,-1,-1,141739,127836,-1,-1,-1,209472,847355,82666,-1,-1,-1,349257,259203,-1,-1,506519,487334,-1,-1,114359,-1,-1,-1,152444,-1,835364,464707,161559,-1,-1,-1,-1,964361,627183,966687,-1,-1,-1,-1,613778,983731,-1,-1,-1,46392,300403,528,-1,840314,-1,-1,851468,-1,217711,-1,969385,-1,621195,-1,-1,976538,375179,-1,922479,-1,-1,41528,-1,96745,680554,-1,-1,568927,-1,755469,-1,857233,-1,-1,-1,-1,-1,-1,-1,-1,986338,-1,-1,-1,-1,220645,-1,392420,866551,-1,261542,28984,-1,358592,460871,-1,972494,609378,-1,284992,-1,-1,-1,311702,132026,691015,627957,554927,-1,470069,108785,579635,-1,-1,-1,-1,404778,-1,468949,104206,-1,411917,530682,-1,483132,-1,181533,-1,257917,187766,748309,-1,-1,-1,833780,-1,-1,-1,583902,-1,-1,-1,-1,-1,-1,-1,-1,362523,150492,-1,95039,-1,-1,238675,534498,252338,-1,-1,702507,-1,858293,382823,117874,185883,-1,50319,-1,805915,222095,-1,849701,-1,-1,584645,97528,-1,-1,897968,-1,-1,27422,-1,542471,800325,-1,-1,130712,-1,973217,868913,139528,714333,409021,-1,-1,712127,-1,-1,24264,-1,256580,-1,-1,515928,46729,59015,-1,339207,-1,-1,-1,-1,472273,-1,-1,785141,-1,102838,-1,18407,698711,-1,295576,580414,605653,315873,536132,-1,554847,-1,910086,219426,743150,-1,-1,-1,93046,752759,-1,-1,-1,457401,578628,-1,889569,-1,-1,-1,861870,73584,185751,51778,590249,-1,823009,673302,-1,-1,-1,31182,509778,325619,284377,466080,586809,-1,863872,-1,254337,-1,685669,-1,-1,850911,758234,-1,-1,440657,-1,892873,18454,-1,493002,463992,-1,264015,487572,484881,54238,962711,845725,-1,-1,-1,-1,-1,877290,360937,-1,-1,74689,-1,872246,460172,-1,798963,268980,-1,90501,115832,377026,-1,-1,3188,-1,944677,625763,377300,859614,-1,-1,-1,758003,787503,561390,245366,524251,706989,662666,-1,558593,225329,-1,-1,-1,-1,-1,-1,-1,144692,-1,-1,-1,135341,457428,820839,735721,313747,-1,844279,-1,-1,-1,905204,858951,680175,-1,-1,275413,728716,450074,406729,-1,18001,632122,118758,-1,-1,984225,607161,808498,4555,-1,-1,-1,-1,-1,-1,-1,162410,-1,944421,439094,-1,-1,-1,524521,-1,-1,-1,-1,-1,342033,-1,938477,-1,-1,265752,-1,-1,77593,246030,-1,306148,-1,-1,-1,983207,-1,986078,-1,238554,-1,-1,48268,883525,-1,795945,-1,108234,699150,907790,-1,403348,756367,702762,-1,172559,103866,-1,569375,137310,-1,922391,467812,-1,-1,345802,-1,820222,959768,83096,849558,901257,904033,732293,-1,576520,-1,-1,22232,534927,-1,688357,13560,-1,-1,-1,632113,-1,744862,691447,-1,546660,-1,-1,246305,833257,567188,-1,-1,583281,951994,-1,-1,289614,728367,-1,-1,-1,-1,-1,198174,471149,54271,-1,721389,-1,187299,532279,570588,51704,586521,-1,-1,301231,-1,278782,164394,294343,-1,504718,-1,-1,-1,-1,771444,773666,-1,730726,-1,-1,961342,-1,140128,-1,956290,-1,-1,854794,11643,941,-1,599070,296022,820918,-1,362665,-1,-1,-1,-1,441545,712675,-1,823268,506587,-1,660879,-1,274933,123624,-1,296726,-1,-1,359609,-1,213714,226658,795867,-1,-1,362220,117566,-1,-1,-1,-1,173895,-1,-1,-1,-1,290666,-1,781757,376888,-1,-1,822687,889702,-1,-1,79355,65745,524175,59306,434185,-1,-1,-1,-1,162001,778426,458265,-1,166593,784535,651181,887126,333715,-1,-1,-1,298838,-1,-1,339211,-1,-1,462570,-1,-1,354077,-1,-1,-1,-1,298660,-1,-1,789154,681343,-1,929794,20925,102634,-1,-1,641001,17429,-1,187899,974201,447734,-1,115224,849629,-1,-1,-1,-1,74542,-1,-1,-1,596309,-1,700775,-1,126152,620618,-1,341082,328172,729112,-1,-1,-1,-1,-1,844539,-1,-1,569977,278329,-1,-1,260769,498771,266419,4417,-1,-1,35145,137053,729391,-1,-1,-1,597519,390010,-1,-1,706370,-1,-1,-1,133753,-1,787743,753098,284826,628046,862641,385351,320640,537186,-1,-1,-1,-1,-1,-1,-1,-1,219681,258344,697094,747047,-1,513567,98871,5940,435995,218781,-1,-1,593376,114336,305053,823907,812668,-1,420702,-1,-1,188314,-1,223083,-1,235647,746935,-1,-1,325852,79917,11341,-1,258451,832297,982763,-1,449340,608021,807666,-1,738786,971430,-1,-1,741732,94553,714318,-1,-1,-1,-1,-1,321366,-1,-1,935559,382471,582351,-1,408128,-1,208250,546927,-1,526564,771192,-1,495273,-1,-1,401820,66489,246123,411837,971925,-1,-1,52545,625155,-1,-1,708461,344317,-1,-1,-1,845295,-1,992824,-1,980165,349105,762148,-1,-1,543145,606122,-1,255994,-1,387482,214548,-1,-1,-1,960724,-1,-1,486425,-1,-1,782881,-1,912880,-1,-1,-1,517640,741576,-1,82444,483525,-1,969728,758440,37859,547586,155263,732179,-1,830866,40509,413259,223619,598621,502609,-1,-1,-1,806008,-1,-1,-1,-1,130638,509208,588152,-1,281268,651364,-1,936976,667431,787894,624615,308376,959908,-1,-1,794594,707705,29620,-1,151999,-1,428691,614316,-1,-1,283837,-1,346932,998576,-1,-1,944270,206556,-1,-1,480888,895071,-1,-1,176275,-1,-1,725043,174713,-1,259647,-1,434056,-1,789770,188188,-1,7381,-1,770039,771762,-1,-1,135942,603409,846845,-1,-1,-1,-1,614233,67884,227002,336863,184738,-1,-1,308112,463320,757548,594962,-1,-1,-1,842672,476537,554544,-1,426270,757025,655379,-1,230670,-1,-1,-1,526649,-1,82708,-1,-1,317564,98264,-1,-1,229780,-1,-1,-1,496466,423800,-1,118037,455684,335521,413077,-1,-1,-1,-1,910598,-1,-1,326754,319959,-1,28326,-1,-1,-1,741814,-1,480921,-1,346928,659846,-1,215071,-1,-1,693806,295831,475123,-1,-1,-1,928305,196451,-1,-1,303312,-1,-1,394808,-1,71059,898482,763128,-1,626177,-1,228308,-1,-1,90222,284027,-1,615088,-1,-1,2625,-1,585844,-1,-1,298994,978376,-1,-1,-1,-1,221375,177351,-1,-1,815084,184530,-1,-1,169750,911353,369242,870794,510040,-1,347066,555688,-1,128331,-1,-1,-1,-1,-1,830861,-1,-1,22934,-1,-1,-1,681465,-1,-1,-1,777364,899216,-1,105917,-1,354212,-1,104171,487953,877101,-1,145055,758108,-1,-1,-1,802825,-1,36500,373826,113484,177299,-1,339449,320750,728397,-1,-1,626684,490533,345232,-1,-1,327794,-1,19967,-1,-1,772884,-1,4314,-1,51090,889746,-1,-1,87954,33435,140357,537547,321932,-1,828958,810057,-1,104782,944769,-1,979550,-1,623658,829290,-1,652449,35942,-1,-1,-1,-1,426508,618722,739014,-1,-1,-1,276077,913768,628259,575310,131365,388778,-1,681971,-1,52478,-1,-1,26230,-1,800078,581431,-1,-1,-1,-1,-1,-1,352050,-1,-1,-1,528423,-1,213963,380279,787467,-1,-1,-1,88936,-1,-1,-1,-1,-1,-1,432938,-1,155941,-1,-1,-1,-1,-1,921052,765547,916479,254857,898726,35361,-1,82706,49997,575439,775573,6318,493782,-1,294125,77701,739574,472024,54724,847055,902147,-1,977041,-1,736021,-1,-1,-1,574195,-1,-1,-1,918442,-1,-1,-1,-1,-1,-1,645055,883414,378422,1018,658394,-1,871799,517719,-1,-1,481248,-1,102879,871442,-1,-1,156084,-1,-1,295028,-1,-1,-1,-1,-1,858784,-1,-1,487585,259987,-1,-1,-1,948728,137009,-1,18883,-1,781190,367899,-1,-1,-1,597539,928627,-1,-1,684035,-1,-1,353717,811119,924745,396831,840410,552802,-1,968038,-1,244256,-1,-1,-1,-1,446861,-1,-1,988763,-1,-1,-1,813449,-1,193766,6260,83588,735559,164158,-1,-1,271929,-1,631023,-1,-1,-1,-1,-1,648597,-1,691847,220558,-1,136351,-1,730033,-1,-1,-1,572417,37324,-1,291802,14126,43265,-1,-1,-1,-1,-1,209023,-1,-1,-1,518439,256184,427808,-1,682329,717317,778577,-1,-1,616651,-1,-1,946128,-1,-1,-1,-1,-1,-1,-1,820607,-1,803873,926031,-1,953733,550804,-1,-1,898517,173721,-1,-1,651991,330810,-1,617655,-1,164183,-1,82507,-1,181989,-1,918978,454041,262440,-1,-1,421984,-1,381714,25736,696710,-1,-1,548532,-1,-1,731482,-1,-1,276403,333877,521291,950849,-1,-1,725278,757840,98915,-1,-1,-1,-1,-1,-1,736769,-1,841746,-1,583536,-1,558812,-1,-1,-1,-1,137590,444559,144787,534328,367797,654608,554380,499852,-1,603337,-1,-1,904579,-1,244493,620306,-1,-1,-1,277358,794814,856363,-1,-1,-1,503944,-1,-1,-1,-1,-1,871870,-1,754159,-1,-1,551168,-1,950000,189061,564849,-1,230437,802390,-1,-1,536071,85934,-1,-1,940703,222604,-1,-1,996668,-1,66940,-1,-1,-1,828027,-1,952138,343564,174955,-1,-1,-1,148415,195246,-1,112227,962451,-1,646978,-1,-1,285048,-1,-1,-1,-1,-1,-1,508256,-1,292780,632524,177139,275334,-1,41766,118008,372195,-1,540595,-1,298935,-1,-1,-1,541007,-1,-1,-1,-1,-1,-1,285068,271093,-1,896576,-1,-1,-1,415990,235658,280705,467203,-1,-1,-1,-1,-1,-1,-1,-1,235906,-1,163485,322877,957315,-1,-1,274467,38505,-1,458238,-1,955240,-1,-1,91049,269194,-1,976112,-1,49118,-1,-1,-1,687426,-1,-1,-1,530573,852106,-1,-1,153175,172329,-1,-1,819170,424403,935374,56528,575597,-1,217697,-1,334206,133867,-1,192375,792995,913631,-1,641651,-1,574855,38748,-1,-1,781640,-1,649431,770011,-1,84786,-1,684805,-1,-1,-1,-1,182291,-1,538589,865045,125002,107141,-1,133268,243766,876010,636226,-1,685304,-1,-1,-1,208422,-1,287495,-1,-1,-1,780833,299204,-1,989096,-1,207398,144337,-1,934755,366678,189242,884546,-1,-1,501580,604813,35906,-1,-1,792135,-1,346141,327686,-1,-1,520436,-1,426252,31869,-1,-1,801787,612382,522005,188254,-1,-1,449828,331037,-1,-1,709253,26442,742787,926276,-1,-1,352830,-1,522077,-1,-1,98397,238409,-1,717253,588343,-1,846190,-1,62745,243510,-1,-1,72290,-1,-1,-1,-1,-1,-1,-1,268120,369381,234857,-1,-1,-1,222389,127285,-1,-1,-1,660948,278815,-1,-1,494513,-1,428987,-1,361732,-1,-1,-1,-1,-1,-1,480703,688624,-1,-1,497308,-1,-1,845922,78575,528675,-1,843159,-1,524422,306504,285247,588159,-1,-1,702996,-1,-1,355558,-1,262373,535230,934809,-1,168482,266065,419240,-1,661813,-1,-1,-1,20119,945304,-1,977584,711937,-1,-1,-1,-1,-1,260834,-1,628376,643947,975625,676749,-1,115368,522219,832094,853479,685255,540628,254931,-1,-1,-1,913232,-1,482233,-1,-1,786432,138920,-1,796056,-1,-1,-1,-1,-1,-1,-1,355632,-1,-1,-1,192125,834341,594494,715700,124647,-1,545729,-1,-1,754596,776762,-1,6183,-1,-1,-1,580869,983820,142502,774239,-1,271139,-1,644814,965210,255907,-1,-1,732686,622552,-1,-1,-1,929209,666002,-1,245246,-1,926685,66935,-1,-1,-1,-1,-1,-1,-1,-1,343373,460389,-1,66389,69828,-1,213893,829875,-1,-1,-1,-1,-1,-1,-1,877164,-1,421000,42901,-1,-1,305439,130287,313685,619937,-1,378406,-1,469577,-1,-1,-1,-1,-1,-1,917041,-1,-1,482283,409705,-1,-1,-1,307475,-1,-1,-1,637430,-1,714753,-1,-1,-1,-1,333356,-1,373603,-1,-1,246115,-1,367011,790294,-1,-1,37214,-1,559486,316334,22509,393206,963907,65329,181885,644110,-1,-1,956955,844266,663550,992582,-1,514909,980976,-1,-1,-1,294138,-1,7719,274913,677904,133861,-1,378622,980084,-1,532838,321505,734887,414253,602548,-1,685981,827832,-1,733143,-1,780751,-1,989889,354689,745389,795785,360533,-1,917195,138095,192446,575200,708754,327770,331579,-1,-1,-1,576722,-1,-1,348940,-1,315158,127907,-1,73105,887799,-1,-1,-1,-1,-1,-1,-1,814162,991978,951260,623249,-1,56630,-1,-1,-1,-1,196048,585243,570905,-1,-1,626592,858745,-1,478652,121310,560303,-1,-1,70943,431496,48442,-1,-1,618563,199905,-1,-1,479113,57614,-1,64231,-1,-1,981147,79626,-1,237566,964903,-1,-1,597201,-1,187279,-1,50412,-1,-1,-1,500270,253325,644779,-1,-1,702535,-1,551219,807479,1755,-1,-1,40739,-1,-1,-1,-1,-1,106106,-1,508223,664108,-1,-1,141640,917619,978626,535024,967818,-1,-1,43022,-1,-1,102040,-1,335680,73905,694802,531103,-1,825167,-1,241203,-1,678489,665603,-1,221693,639015,633370,-1,-1,-1,908158,33574,-1,861826,910319,24591,383125,63920,704179,577027,-1,-1,728231,-1,217043,-1,-1,373506,-1,-1,375160,651600,844161,261077,-1,-1,3649,-1,-1,725180,66798,-1,-1,-1,38056,-1,550270,-1,87145,994124,947552,277641,362648,847898,644635,180625,133229,700413,367745,350175,808329,-1,672999,-1,-1,872890,316673,-1,-1,886522,793341,-1,-1,-1,-1,354721,466934,-1,391469,-1,-1,813521,63520,604190,925159,-1,917337,185274,835286,785415,112601,966343,822408,385783,-1,-1,804726,-1,908452,-1,-1,-1,-1,862967,733211,685319,645932,-1,676015,730141,52901,675055,611729,-1,234542,-1,-1,163880,617816,260928,-1,-1,-1,878026,-1,930904,42236,541051,-1,-1,512268,-1,189451,-1,-1,-1,509792,735964,833884,262197,-1,-1,-1,-1,831681,372623,-1,102743,599741,818044,-1,-1,-1,768283,-1,98297,-1,973251,459510,916268,-1,103753,-1,-1,410721,-1,-1,-1,-1,974959,967654,180997,568716,-1,663718,-1,-1,-1,330655,601783,-1,891969,271771,-1,469408,444202,470954,-1,60042,-1,846085,-1,74853,128064,-1,-1,-1,-1,824976,245439,-1,837021,-1,-1,-1,896825,-1,637003,452234,292248,476684,-1,-1,-1,-1,-1,152085,425406,-1,-1,531178,485434,842573,-1,-1,588845,123005,251664,155649,-1,44980,609752,546120,316093,-1,-1,-1,566142,579886,-1,-1,-1,-1,-1,-1,-1,859265,761338,647086,463428,669508,-1,-1,-1,250358,-1,75529,-1,906490,85035,-1,-1,-1,-1,497076,761324,-1,-1,-1,776839,-1,-1,895659,619612,715416,654294,995478,-1,-1,442897,238561,-1,-1,-1,34852,-1,771695,46986,907646,-1,-1,677482,674442,-1,-1,-1,-1,116881,569850,216406,156552,-1,978743,-1,729029,-1,-1,-1,-1,254230,-1,-1,-1,-1,909546,52326,-1,592359,692977,406744,726779,-1,707510,-1,-1,-1,-1,159448,58917,-1,493038,-1,-1,-1,740024,340842,-1,345206,-1,-1,501501,-1,885258,412167,904748,558666,861703,-1,248892,966835,648118,-1,604181,292524,290203,-1,-1,943183,216643,243238,364863,473923,421308,583020,-1,324498,139066,-1,-1,-1,-1,-1,-1,-1,20076,913661,728323,565909,126856,-1,-1,921125,-1,-1,378345,625836,-1,158885,-1,-1,784913,2387,-1,948815,-1,-1,782712,982800,602605,683176,-1,-1,-1,98260,-1,179795,462251,-1,270165,218227,816718,913783,-1,-1,886335,883538,376810,-1,-1,989890,-1,-1,-1,578108,926647,546281,-1,-1,524221,-1,-1,918026,-1,744146,187394,658575,787095,-1,642993,-1,-1,994979,-1,605459,758506,413543,94044,721821,679051,-1,18720,242047,-1,818408,-1,403886,106606,911808,828590,540869,-1,836320,902305,-1,495161,830113,65169,-1,-1,702646,680360,994222,-1,460064,-1,655863,398039,216851,715666,80284,-1,-1,627578,-1,-1,-1,131382,-1,764104,-1,601180,585709,-1,-1,359333,856699,882619,780384,-1,994971,306802,-1,-1,987407,-1,220075,419777,913099,-1,-1,-1,-1,-1,-1,527125,-1,999512,398972,394777,-1,789340,724080,-1,-1,458537,631970,-1,172011,-1,169317,547963,-1,644187,-1,389100,938729,-1,99561,-1,497590,-1,18284,443054,-1,-1,-1,-1,378598,986607,-1,585656,-1,875176,-1,-1,892267,-1,-1,635679,-1,111809,-1,515991,-1,-1,870869,-1,-1,-1,-1,967990,157523,-1,-1,928868,-1,866245,670367,659681,721949,-1,472395,393579,554235,-1,-1,25586,188017,-1,-1,-1,710673,-1,-1,-1,919126,-1,557407,373219,-1,-1,-1,85623,172856,-1,581271,-1,510130,704273,-1,460588,-1,793263,-1,78034,481841,475038,271575,305858,-1,326127,223635,498161,569548,764148,-1,437782,-1,620058,502239,755790,585204,66467,-1,-1,-1,438741,482633,309028,-1,-1,-1,339010,899319,924110,253911,774904,-1,593579,-1,-1,-1,-1,-1,787123,-1,998842,-1,-1,416334,-1,724647,-1,205540,391084,521065,-1,128072,279525,-1,-1,500360,-1,-1,837703,-1,389024,-1,580707,64339,62109,-1,418591,-1,206256,790034,64903,854703,-1,-1,-1,894584,315387,-1,878174,-1,122076,981986,-1,148025,-1,-1,-1,493265,510814,-1,918814,-1,550601,539676,793704,496143,-1,850592,621748,624369,-1,116518,-1,-1,-1,341343,-1,-1,-1,518856,-1,409355,701607,-1,-1,-1,-1,-1,-1,-1,-1,-1,183719,-1,-1,761037,-1,-1,133694,362633,-1,484951,-1,257602,-1,748920,-1,766627,104362,-1,-1,-1,326986,264623,-1,-1,761082,623984,222427,645649,-1,-1,-1,-1,-1,-1,-1,71573,-1,-1,535004,-1,-1,-1,-1,388414,829613,111976,49964,-1,211335,-1,421450,-1,-1,-1,-1,560394,382089,-1,-1,429313,851185,997772,-1,-1,268937,679952,-1,47889,-1,52298,-1,744627,831028,241828,701281,274613,858045,304873,-1,37077,-1,142601,332795,425096,-1,155802,-1,-1,-1,-1,-1,-1,182043,-1,762881,-1,182838,-1,-1,235040,480138,-1,-1,88908,-1,185839,-1,-1,852891,-1,-1,536497,-1,464285,-1,653504,-1,344621,844037,-1,-1,162345,829989,-1,-1,-1,-1,263034,-1,-1,872703,-1,325473,780573,-1,737323,446544,-1,-1,-1,872081,-1,-1,-1,-1,-1,-1,-1,632080,-1,848731,287401,376696,-1,46113,537576,-1,894997,390786,-1,-1,691967,258824,369418,755018,314592,-1,-1,691446,738115,-1,-1,-1,-1,-1,-1,-1,-1,154658,-1,352307,754249,788381,398970,-1,-1,201683,886774,171641,179821,500664,46936,-1,-1,-1,419749,-1,-1,984731,-1,766728,-1,-1,-1,355735,967957,-1,-1,-1,787265,-1,-1,759902,137244,260029,-1,-1,847101,81392,-1,-1,376292,-1,877584,-1,704017,778890,782068,682259,-1,137738,594185,356900,-1,-1,-1,295423,742913,-1,586666,-1,550916,-1,149428,158175,508473,-1,-1,-1,313846,-1,206011,-1,-1,38467,269853,288311,-1,-1,167363,197072,-1,-1,-1,533061,-1,424518,356751,-1,158764,985406,-1,-1,850932,-1,69017,-1,-1,903447,-1,853540,-1,-1,348814,928441,968924,-1,59259,769603,330975,-1,-1,-1,995852,162817,-1,283938,-1,-1,205450,-1,715739,-1,-1,614983,756947,-1,486437,-1,-1,-1,-1,-1,862667,-1,-1,-1,133807,-1,466823,-1,-1,-1,-1,-1,-1,-1,587936,567831,811247,938020,-1,777130,711826,-1,-1,27265,608624,-1,682919,-1,88182,-1,968450,50977,-1,-1,220873,-1,957375,692410,548199,973487,296331,282285,-1,-1,621741,-1,488413,-1,-1,551544,-1,-1,-1,79136,-1,-1,156381,512612,-1,-1,549355,-1,497320,237429,-1,-1,-1,-1,-1,-1,235648,-1,-1,-1,-1,-1,-1,424406,925450,-1,384228,958998,-1,-1,-1,-1,-1,444686,-1,458498,750554,-1,734075,-1,-1,-1,495558,-1,-1,-1,705254,55328,-1,680271,921855,-1,-1,8079,-1,554488,-1,215576,628976,-1,-1,-1,370926,581741,161603,-1,-1,-1,424568,-1,-1,968582,259746,-1,-1,760305,-1,-1,-1,900694,-1,-1,719447,-1,478349,424178,475789,-1,-1,-1,-1,-1,-1,34863,736558,647639,-1,-1,-1,-1,254015,-1,67754,828439,-1,-1,-1,-1,67474,-1,181441,61355,153830,210002,314152,530340,-1,-1,470020,-1,-1,565337,875029,981674,728018,-1,-1,3751,95233,-1,580245,-1,882641,-1,934865,475731,-1,-1,-1,960680,-1,-1,891818,-1,-1,-1,401242,-1,645992,175393,-1,569947,313122,570510,-1,669562,509191,-1,-1,-1,-1,-1,-1,-1,303643,615773,791890,854468,608610,452022,27094,-1,838513,919318,-1,-1,-1,-1,-1,-1,779771,-1,149006,99795,21954,863583,-1,631498,935054,560864,53719,765839,303878,595220,30201,-1,-1,-1,-1,-1,-1,-1,156572,858504,-1,436993,169530,18358,801544,-1,251850,-1,965980,204904,-1,-1,-1,994249,-1,366977,-1,514277,103927,976794,207552,471170,763487,-1,205476,-1,-1,911242,71397,896233,117910,-1,191435,-1,811682,88317,32213,-1,857211,413126,104844,387296,-1,-1,-1,-1,-1,199417,478450,-1,374317,-1,-1,971711,-1,782900,-1,381211,422760,-1,-1,327810,-1,781181,-1,877349,-1,205154,-1,992403,176386,263913,22288,490265,-1,631605,703338,-1,466883,-1,-1,-1,-1,457445,-1,-1,250856,-1,479689,-1,240302,927951,744368,-1,-1,940734,-1,998591,982949,843769,851140,-1,-1,-1,986760,-1,-1,-1,262869,-1,247442,-1,-1,298077,-1,-1,59716,-1,-1,270935,-1,788821,-1,-1,-1,996568,-1,736551,-1,807313,-1,-1,201032,761748,654164,305948,380079,955413,107275,-1,-1,260844,616451,945988,-1,928638,472972,-1,587090,495189,445153,-1,322478,340892,-1,-1,-1,884654,412715,240875,691065,-1,170980,-1,455901,849050,-1,-1,-1,232845,315680,-1,-1,-1,288719,447605,-1,-1,809106,883134,-1,870329,-1,187744,-1,510799,-1,-1,-1,318702,968423,-1,372198,-1,334770,870725,802955,-1,607966,804245,-1,-1,94625,-1,-1,332634,-1,-1,154691,-1,172230,596089,128214,997396,183175,353447,-1,506260,-1,793305,-1,-1,593544,-1,-1,-1,481756,438775,-1,662134,202012,524092,9053,715625,624257,-1,383521,-1,81722,-1,-1,647778,-1,-1,444818,903887,-1,-1,706368,-1,-1,658132,-1,578497,-1,139908,613474,157688,-1,939238,334520,637121,542847,-1,835614,-1,-1,-1,-1,984772,-1,901775,745438,-1,367925,339418,571083,491220,701484,128903,131727,680503,-1,182998,97823,-1,717770,577822,-1,-1,-1,570224,-1,396310,775766,-1,-1,-1,-1,-1,277599,-1,951983,481557,827363,908511,247290,-1,-1,-1,191261,753967,-1,445073,-1,793464,789732,-1,367184,315820,224655,-1,557982,40983,-1,-1,240566,-1,-1,-1,368208,124243,912486,186827,941138,152185,-1,-1,24178,313607,962532,760334,-1,519601,589454,281233,380261,830033,879971,-1,85066,18489,533389,-1,-1,37770,570279,-1,-1,25682,-1,-1,-1,-1,-1,351148,-1,551234,298705,-1,-1,792394,-1,838826,660235,410774,-1,-1,-1,889416,277631,792941,-1,-1,-1,876627,932245,86137,-1,732889,132873,-1,496279,-1,-1,313731,-1,412326,937243,378641,999521,791274,331786,-1,-1,592284,-1,-1,287268,291961,72038,875909,-1,-1,-1,444112,-1,804385,38098,-1,487461,-1,-1,-1,-1,187638,-1,763729,17351,-1,375806,-1,-1,292742,-1,340062,-1,-1,-1,927823,900454,-1,-1,520915,321371,808232,-1,772700,-1,-1,363633,812092,832347,802843,-1,376296,119098,-1,-1,-1,518562,982561,360542,476630,424497,28584,-1,-1,654795,-1,703494,262886,-1,-1,-1,-1,953268,-1,-1,63229,384693,360342,-1,911440,-1,-1,527877,44104,216099,-1,471095,-1,-1,-1,-1,-1,-1,272337,-1,370548,-1,-1,188817,-1,-1,853509,144768,779101,-1,974901,693255,274353,763011,-1,-1,76947,442315,-1,551486,497480,-1,188720,-1,4893,540948,880501,677295,-1,175755,508140,372627,599022,351419,-1,811508,-1,320039,-1,-1,-1,563159,796628,552025,113941,637380,61781,327854,929347,147699,-1,76845,780836,849105,715814,220370,95653,721118,271460,-1,-1,-1,204584,623609,492919,443288,-1,642695,-1,216879,153254,464793,-1,-1,-1,936601,-1,-1,189618,138786,344819,-1,-1,-1,-1,863125,-1,901590,-1,701483,-1,-1,-1,380787,136433,-1,-1,936576,565126,54241,-1,323945,-1,-1,-1,-1,-1,-1,-1,725440,321210,921745,221972,-1,997513,-1,-1,463799,678219,-1,-1,421068,794066,650897,26806,-1,581177,-1,472836,9309,-1,-1,-1,-1,369676,-1,988190,846101,-1,390857,754279,-1,574812,687966,613256,-1,891013,405898,920493,800361,245308,503992,-1,-1,180515,-1,-1,-1,-1,-1,-1,896760,920682,-1,-1,652902,38415,903205,-1,859855,577241,-1,-1,-1,-1,769318,789843,259428,-1,-1,712428,-1,-1,239995,132375,-1,-1,432023,-1,952763,203154,-1,-1,262520,771292,-1,236380,874099,697004,43032,38333,-1,-1,165928,-1,607840,-1,-1,367199,-1,30960,451530,355367,-1,286035,-1,-1,974153,373024,-1,533657,351255,515357,469108,-1,7696,-1,981582,-1,494761,131628,-1,353933,907336,-1,-1,924953,-1,-1,-1,604763,589003,-1,641991,-1,689412,89030,-1,-1,-1,-1,-1,123175,-1,-1,533573,562783,847092,-1,661488,-1,856474,-1,-1,570370,431993,-1,195361,796769,-1,-1,-1,-1,-1,552285,-1,-1,506082,-1,16205,-1,133679,180728,-1,-1,776684,-1,676080,-1,-1,200923,-1,-1,150185,411168,923707,729221,778660,567325,-1,-1,966643,990512,-1,40592,-1,915890,-1,-1,-1,63162,-1,176029,-1,-1,-1,430233,-1,219012,-1,-1,-1,-1,-1,-1,38240,886636,691960,-1,625623,-1,357498,-1,-1,-1,-1,-1,336798,759362,144520,-1,625495,474057,-1,132200,-1,-1,-1,829266,385052,-1,113558,-1,-1,195140,873190,434544,79518,-1,-1,840619,-1,-1,-1,-1,-1,63766,977643,-1,-1,-1,-1,238349,-1,706925,-1,332671,-1,498454,-1,-1,568742,-1,648928,18431,602917,-1,910941,997211,-1,-1,-1,1800,-1,-1,-1,-1,-1,-1,387510,204053,-1,182512,-1,684799,-1,433915,-1,-1,-1,302203,-1,993602,443345,-1,-1,-1,-1,-1,703926,-1,-1,-1,-1,277123,-1,180526,-1,794070,-1,805136,874097,970977,-1,421188,282978,-1,946395,-1,-1,-1,-1,-1,-1,-1,-1,10739,70130,339169,550792,-1,469756,-1,-1,582944,459787,-1,-1,-1,-1,-1,-1,-1,425973,-1,961842,-1,48704,-1,714835,-1,-1,-1,-1,-1,-1,-1,-1,-1,996476,40766,361461,840787,366633,-1,473352,-1,774155,-1,463570,243321,-1,-1,665780,101848,-1,690882,-1,890978,905709,-1,874447,-1,-1,-1,-1,705228,298339,-1,117418,-1,-1,-1,-1,-1,112854,-1,122933,-1,344445,-1,282168,655895,293850,827426,-1,-1,-1,231246,-1,132343,62827,826625,192100,732699,601437,-1,-1,-1,-1,-1,137031,-1,-1,152424,815450,-1,336709,403108,-1,220176,62927,-1,-1,-1,-1,516300,-1,49961,208756,-1,-1,-1,-1,-1,213449,295538,713409,61265,601104,906167,812707,515453,-1,-1,-1,-1,-1,920089,-1,-1,734665,-1,420746,-1,-1,-1,61945,-1,-1,-1,631609,-1,830058,148301,-1,162307,379638,-1,775899,188283,709450,971682,458657,-1,-1,13678,-1,-1,-1,-1,-1,401912,-1,473248,-1,352961,-1,841024,463216,-1,-1,-1,-1,446321,-1,-1,-1,922055,283783,-1,-1,-1,-1,-1,-1,-1,-1,965080,-1,-1,-1,684303,-1,-1,791767,151302,-1,-1,-1,344910,457852,517311,501356,268502,-1,-1,-1,352552,102654,30920,-1,263694,-1,308171,-1,-1,169512,-1,-1,-1,111550,-1,638604,324006,289452,909944,957123,-1,-1,-1,-1,650356,-1,273259,-1,-1,-1,-1,968405,322094,414295,144774,219890,-1,406863,-1,395291,529778,841475,-1,528534,135890,-1,221360,554724,759782,25169,-1,-1,-1,594879,-1,369318,597393,-1,181029,410133,794913,-1,-1,-1,333533,-1,311682,-1,815330,325708,-1,-1,-1,-1,982984,-1,-1,444530,-1,396754,27823,285311,-1,-1,-1,64430,574,649897,213958,67394,-1,-1,-1,-1,-1,538196,-1,-1,-1,746328,821335,-1,920798,832989,17839,506289,-1,-1,-1,-1,-1,776988,-1,107150,446695,241900,-1,610604,353148,-1,317966,1140,83258,229356,-1,201235,32150,-1,241115,979269,-1,605040,-1,-1,-1,-1,-1,-1,438440,-1,126409,-1,-1,343574,-1,-1,-1,-1,471540,897800,-1,-1,341559,-1,-1,800659,430113,771482,-1,-1,-1,200784,10748,851728,519493,-1,-1,-1,521136,149432,893419,-1,-1,-1,-1,537346,-1,303396,346515,671706,-1,699862,368630,-1,717771,-1,997803,375374,-1,812310,837859,396540,-1,726041,-1,-1,-1,-1,279254,-1,415254,890254,819986,554039,-1,732026,941220,-1,-1,-1,358250,-1,329299,-1,-1,-1,827143,-1,611151,-1,239272,31207,675156,-1,-1,-1,419900,341404,494158,962903,-1,482824,872304,291253,72929,95238,-1,927571,-1,282102,909433,753805,-1,213922,-1,629139,568026,-1,-1,508201,871628,789489,-1,-1,-1,267503,31405,520404,395697,106357,-1,-1,-1,-1,-1,60963,-1,552273,785613,970186,-1,-1,-1,-1,-1,-1,680832,-1,-1,-1,-1,-1,429235,-1,-1,559989,836146,455147,-1,485072,931811,166774,762557,461662,-1,139125,-1,-1,-1,-1,-1,156568,682215,-1,-1,-1,767255,-1,383505,436009,883919,83864,601220,-1,-1,94510,-1,-1,-1,397029,-1,-1,-1,-1,-1,364559,331447,-1,691946,526149,673856,-1,-1,-1,-1,133738,816277,983443,-1,292695,-1,-1,-1,-1,-1,16902,-1,-1,387271,-1,215692,652534,419894,391180,-1,-1,859242,-1,-1,-1,-1,86496,-1,-1,-1,525510,-1,912620,-1,740057,237809,-1,591717,310563,163585,43381,-1,-1,482742,460003,211315,-1,-1,781848,495350,212785,-1,-1,402603,-1,-1,305759,-1,-1,-1,-1,570064,700029,-1,-1,44820,160226,437780,542545,516733,17390,-1,-1,835399,-1,46037,569930,-1,454052,-1,80349,-1,534201,491756,-1,140017,571285,-1,-1,151784,285784,-1,-1,-1,287750,127621,-1,66512,745158,750332,400734,819888,-1,-1,-1,-1,-1,336793,625354,-1,-1,569991,468270,285004,743985,-1,160488,255775,584786,243457,541113,-1,653717,-1,-1,-1,-1,-1,-1,-1,361064,-1,-1,-1,-1,39980,-1,993028,189428,-1,-1,522309,168769,752587,990462,507722,386375,-1,659340,-1,-1,811846,-1,-1,741786,-1,246098,-1,728463,410801,-1,-1,745712,-1,-1,640765,-1,307715,-1,-1,127842,-1,-1,-1,-1,-1,128353,987734,753320,623668,-1,561434,-1,751387,-1,-1,6401,371483,-1,13921,86631,380105,568445,685170,573519,387472,47711,-1,-1,369770,-1,-1,546951,-1,848078,304824,-1,-1,-1,-1,-1,434989,571449,163875,-1,669793,-1,243938,-1,-1,832262,-1,-1,482279,-1,-1,-1,23438,-1,-1,731132,279683,881976,779524,901953,293768,-1,196971,45080,799384,298538,-1,-1,176013,-1,-1,308270,-1,-1,-1,-1,163184,-1,-1,-1,288681,-1,-1,-1,852974,256185,-1,-1,-1,754994,699794,-1,-1,830771,-1,-1,-1,161045,-1,746465,835691,182541,610242,-1,-1,-1,-1,2324,134037,-1,111826,912382,516491,208657,-1,88784,180581,-1,664355,-1,-1,854373,245676,-1,-1,575764,-1,647859,317560,158848,798320,-1,-1,-1,686426,385811,464111,-1,45530,-1,-1,-1,-1,-1,752541,-1,248064,-1,585412,935619,-1,58262,244269,346227,918566,686643,-1,-1,450771,-1,-1,-1,-1,-1,-1,874745,-1,-1,-1,-1,-1,598628,93141,-1,-1,-1,112836,-1,-1,-1,-1,623071,-1,-1,155864,-1,672788,-1,-1,688874,-1,36140,338692,721773,600488,-1,86209,-1,-1,84689,-1,160525,-1,927658,130073,-1,-1,-1,482332,826008,-1,-1,183740,-1,-1,516879,439998,247815,888182,240429,-1,-1,-1,890035,202204,-1,622853,363467,388229,889323,-1,-1,929506,596218,948298,497059,380444,-1,968358,-1,912571,-1,268314,-1,177355,-1,-1,126144,-1,200405,-1,-1,893199,784609,-1,838670,619298,-1,-1,-1,-1,626329,-1,-1,757439,877881,263730,-1,-1,-1,65973,-1,559534,-1,-1,560895,405851,-1,-1,127093,-1,-1,-1,-1,-1,-1,-1,315145,-1,-1,-1,-1,467556,-1,469973,904003,-1,64549,346901,-1,76386,871894,755024,-1,548565,439595,825413,724021,747252,384224,-1,742284,-1,-1,-1,-1,-1,18852,-1,-1,-1,-1,-1,929414,-1,-1,221215,209989,-1,-1,-1,-1,998611,-1,-1,362755,-1,911443,181410,565417,-1,926711,901734,-1,-1,-1,-1,832122,33729,-1,337046,303955,491674,-1,-1,603499,-1,-1,498021,841295,-1,-1,-1,-1,994900,845047,686657,-1,827469,179126,530679,941928,165848,-1,-1,427759,-1,-1,65842,648235,-1,-1,475121,-1,-1,964371,-1,-1,-1,738555,-1,418196,935229,796868,-1,728059,460969,-1,788906,-1,378124,672183,-1,435425,149291,-1,956094,673377,-1,544743,-1,734575,-1,-1,367609,-1,535742,-1,552606,-1,-1,582759,-1,-1,-1,44531,-1,271117,-1,-1,53412,-1,-1,-1,-1,-1,-1,-1,-1,144572,262342,262344,-1,991333,-1,-1,-1,-1,468261,-1,-1,-1,-1,-1,124567,162589,959641,-1,3904,407564,608082,960246,-1,-1,132999,384917,533173,-1,-1,516602,-1,-1,18397,-1,-1,-1,615163,742221,-1,346985,-1,503813,-1,-1,-1,-1,-1,-1,-1,522565,375519,555910,768802,-1,829902,-1,-1,-1,604400,537957,49698,757541,-1,-1,-1,40422,-1,413419,-1,-1,324914,132305,360333,290000,954230,-1,-1,-1,448142,-1,-1,-1,-1,-1,-1,-1,343032,800955,161548,-1,-1,437941,-1,-1,302162,-1,-1,167547,39198,-1,-1,-1,-1,152059,226751,226726,-1,177314,-1,935669,-1,-1,900077,171411,-1,-1,-1,-1,-1,678522,-1,-1,-1,-1,438651,-1,-1,67373,-1,672423,-1,274451,803012,770160,852130,955505,735892,-1,712757,-1,11549,738289,676733,221534,-1,-1,832585,-1,64887,717960,-1,-1,-1,-1,-1,-1,406460,-1,-1,-1,-1,253311,-1,-1,-1,-1,-1,407817,-1,23059,-1,-1,598294,-1,-1,312792,-1,440812,-1,-1,777880,730228,-1,-1,-1,-1,-1,-1,-1,-1,178841,501306,405236,-1,825880,270267,507041,-1,-1,-1,-1,-1,916513,974668,-1,578099,-1,478367,-1,941941,482829,-1,79690,-1,-1,39450,-1,582123,979451,-1,298934,-1,321091,426282,709520,661974,-1,740227,388902,739032,836942,26226,-1,495252,-1,-1,257076,-1,525523,-1,-1,-1,107282,-1,-1,-1,207212,-1,-1,-1,-1,577012,768047,901179,-1,-1,452650,358627,45235,-1,761415,108360,232370,-1,-1,922288,427687,-1,-1,-1,-1,273001,789465,599604,-1,868374,-1,-1,955904,-1,563524,716647,-1,-1,275529,-1,822388,685934,-1,816077,-1,-1,376406,424057,54057,-1,-1,664305,751144,766727,-1,768741,261950,912884,-1,848165,-1,-1,34150,996726,542394,-1,-1,-1,-1,-1,633641,-1,413136,380090,29598,-1,-1,-1,-1,-1,-1,372580,231506,643981,644138,520578,-1,341844,-1,-1,789901,-1,-1,271406,18713,35791,-1,251841,229371,-1,-1,788214,864648,-1,-1,-1,185231,875048,-1,970431,-1,427645,827525,-1,-1,-1,-1,60208,151582,202143,-1,356041,-1,-1,11651,-1,-1,253450,-1,-1,236132,-1,-1,586191,431316,758136,488593,764051,782094,755597,-1,371428,783458,-1,980075,549990,159783,-1,69406,-1,-1,745962,-1,-1,965059,551827,961472,258888,-1,407782,327055,-1,764100,941085,924620,507205,-1,-1,106671,455881,-1,995736,52643,716861,865353,-1,-1,700904,-1,403324,438222,750282,493278,39463,-1,40818,-1,-1,221485,-1,527469,-1,-1,121194,-1,159395,171213,847536,-1,951187,958472,191522,8128,-1,404285,320203,-1,661323,-1,751338,-1,616197,-1,786660,913583,-1,-1,-1,302366,799324,315976,-1,374792,-1,-1,-1,-1,840160,493132,-1,723717,-1,-1,828121,356002,524534,-1,-1,-1,-1,509808,765640,496448,-1,-1,259760,-1,653280,165500,-1,-1,-1,-1,880326,748336,-1,583821,-1,-1,476052,646879,-1,323259,696430,58267,-1,507952,749688,819246,713535,-1,953088,139823,-1,-1,164963,-1,-1,357271,-1,-1,-1,17951,-1,-1,4814,-1,91335,220703,-1,-1,-1,912877,168526,815364,-1,-1,-1,411636,-1,41541,-1,-1,903749,286396,-1,-1,901101,-1,126362,871015,-1,-1,-1,-1,-1,842408,996798,-1,364814,102466,-1,-1,-1,-1,-1,974386,285332,902861,-1,875687,459480,196620,-1,-1,-1,-1,351493,109735,-1,-1,-1,-1,-1,-1,771450,452524,-1,974219,-1,-1,-1,-1,765300,-1,-1,-1,618208,-1,849972,43386,-1,571412,234737,874803,143169,458576,175705,708968,-1,-1,-1,-1,321172,691225,-1,669771,995068,-1,-1,-1,-1,-1,267805,-1,42704,510989,-1,917873,439277,531829,89918,836649,-1,-1,-1,-1,-1,-1,-1,-1,-1,148850,-1,886870,480587,-1,-1,-1,-1,354894,-1,-1,-1,914138,189834,516059,558105,332352,-1,740398,430732,179240,-1,-1,-1,923941,-1,188570,-1,426913,980208,290418,116937,897131,-1,-1,-1,-1,-1,-1,-1,-1,-1,950654,-1,170968,-1,-1,754374,-1,713122,260056,835857,-1,627498,700069,902033,-1,-1,-1,765145,-1,-1,917788,-1,-1,135227,-1,744050,-1,655682,361119,-1,-1,-1,-1,-1,-1,-1,110754,-1,-1,-1,-1,-1,195100,399857,-1,128437,-1,156687,188465,474834,-1,308219,-1,206053,25515,304751,967568,-1,36808,657113,205108,-1,-1,362320,616364,-1,-1,-1,267370,381949,325368,983259,-1,-1,-1,-1,428447,-1,-1,471847,779794,-1,287482,676776,-1,917027,-1,-1,-1,-1,-1,-1,326300,339622,512237,-1,763246,902308,-1,-1,-1,449329,589838,-1,373403,324477,-1,-1,-1,-1,-1,-1,728791,55661,697245,548810,-1,94614,-1,-1,-1,-1,-1,450130,941839,76650,-1,-1,-1,845823,-1,427088,539170,-1,-1,-1,-1,963560,300108,462794,784423,-1,-1,-1,-1,-1,634596,488887,823701,469964,-1,827952,82849,710014,-1,562775,-1,553861,-1,-1,-1,-1,-1,-1,100682,-1,-1,-1,374437,793716,-1,-1,-1,-1,597207,480520,585182,-1,460090,606896,-1,-1,696555,914647,381328,848834,153324,17986,986979,-1,-1,679995,707742,-1,-1,831417,46578,11343,467017,769233,913789,471420,-1,734240,-1,193532,270329,485499,321215,225310,-1,-1,-1,684289,-1,-1,-1,996980,72822,508381,715697,-1,591071,-1,-1,-1,-1,292889,280872,-1,224973,330311,-1,10649,892577,125957,-1,-1,-1,-1,540041,771476,-1,332765,-1,980245,-1,997361,-1,-1,-1,-1,-1,-1,241131,186497,-1,-1,-1,236572,288418,-1,4150,42066,-1,410462,-1,446557,-1,80785,716453,563653,428657,-1,59560,-1,624667,525699,139232,-1,183630,-1,21376,-1,-1,-1,-1,-1,69525,-1,525765,621726,320253,-1,-1,726999,-1,-1,-1,578829,-1,-1,-1,786027,-1,543113,-1,305571,-1,553444,-1,603055,269928,1804,150923,-1,-1,-1,663522,821930,246690,-1,170396,70826,201481,-1,606893,-1,828256,-1,-1,-1,903509,-1,-1,-1,856521,-1,711159,-1,431516,-1,252144,-1,205377,-1,-1,632908,928577,-1,-1,-1,-1,-1,588910,-1,-1,655109,-1,-1,622256,971831,-1,302760,-1,15320,739110,-1,546584,182447,833273,-1,-1,534322,499755,737400,-1,722277,-1,383209,-1,725439,-1,115654,-1,783095,558960,-1,516997,-1,-1,262708,515430,-1,-1,-1,420653,-1,-1,443510,-1,-1,-1,910147,-1,-1,497811,395239,-1,-1,-1,230361,-1,-1,193012,-1,437358,986719,-1,635211,-1,-1,-1,-1,372084,714131,-1,692828,-1,72363,-1,-1,-1,280558,330933,750050,686473,523672,-1,960684,437595,-1,-1,-1,622970,391678,269753,896643,715801,632671,873420,399629,-1,399576,-1,712204,372170,-1,273970,491000,401011,775467,-1,487678,-1,-1,-1,-1,732973,-1,-1,-1,-1,942196,99387,-1,568986,271862,640512,466753,-1,407887,-1,455367,-1,-1,593330,925442,-1,330491,-1,-1,828072,-1,697921,-1,-1,319619,-1,-1,-1,476349,-1,-1,420872,-1,-1,-1,-1,522345,838195,147154,293400,872014,-1,-1,213036,-1,-1,-1,55892,17180,-1,-1,130787,-1,-1,281894,30887,-1,431963,326552,460857,-1,990381,-1,-1,-1,999371,-1,953991,-1,-1,-1,421405,289373,-1,290070,75445,867961,-1,515241,386762,387360,581378,-1,-1,324763,255039,290693,-1,-1,-1,-1,-1,-1,412676,452586,920335,-1,598843,998331,-1,-1,726943,-1,394603,744625,241287,-1,642422,242059,23308,909030,835684,119071,182273,-1,696558,545562,-1,382771,-1,-1,-1,127550,-1,-1,-1,-1,849925,206173,-1,790988,359307,182577,739354,-1,-1,508992,941587,957894,-1,-1,887997,-1,-1,-1,-1,-1,-1,-1,-1,-1,610068,604778,-1,-1,-1,-1,39267,916538,371739,70174,932472,930285,-1,914413,-1,436598,-1,584634,-1,-1,190239,-1,-1,-1,-1,562815,-1,298983,960267,-1,-1,-1,946191,711460,316932,-1,161780,32374,-1,-1,841264,-1,949376,733620,334769,-1,409787,399868,685675,-1,-1,-1,913356,-1,11329,824524,-1,-1,-1,-1,690636,-1,-1,491630,913982,813323,-1,-1,965339,19536,-1,810073,840345,-1,953276,-1,-1,965749,-1,429406,984133,-1,-1,-1,-1,789170,-1,15569,-1,-1,-1,-1,-1,895223,265560,109204,-1,-1,862734,246350,-1,-1,-1,107510,53573,-1,316590,-1,-1,-1,894128,666774,-1,699397,888129,465628,-1,-1,548241,3070,-1,2423,742052,761165,-1,-1,826365,556632,-1,-1,475758,-1,417767,-1,-1,-1,920445,-1,586762,250100,-1,-1,936513,590561,967134,468191,-1,179465,-1,275054,640624,-1,-1,724414,-1,58582,20805,-1,-1,-1,783327,819581,-1,-1,-1,-1,27394,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,469913,163435,417874,-1,-1,-1,394728,551676,61643,22687,-1,427464,439286,295117,768891,201079,137254,201630,252798,416229,606798,-1,-1,-1,352562,384628,-1,228560,681946,-1,-1,-1,499451,-1,286522,248181,843981,-1,270366,342350,349728,572932,-1,-1,-1,-1,65393,-1,281403,564403,-1,-1,512702,123963,771647,-1,289740,-1,675593,653159,608869,-1,-1,276619,969389,647485,-1,756728,855384,-1,598161,-1,-1,-1,-1,966719,-1,-1,-1,-1,625662,-1,-1,687471,-1,-1,-1,-1,-1,111724,128176,-1,-1,763850,-1,-1,15543,23570,-1,663569,-1,-1,-1,919862,872444,367157,-1,559716,-1,97311,-1,-1,758983,394064,248589,-1,423958,-1,920393,651952,835273,847273,-1,345208,980623,480217,529201,-1,-1,-1,-1,789161,-1,58346,-1,103218,765415,-1,-1,291582,-1,704747,914834,843877,-1,521151,-1,245034,-1,339911,928485,174875,-1,406369,-1,-1,-1,553044,-1,-1,-1,-1,-1,179124,716659,-1,-1,-1,587475,-1,604888,775121,-1,250088,144542,-1,-1,-1,292761,38476,596746,-1,598278,-1,115721,-1,-1,-1,-1,-1,-1,-1,-1,7921,504491,980537,214822,-1,-1,902768,660298,277333,-1,933209,56044,-1,-1,-1,904195,-1,584797,-1,-1,-1,-1,526365,-1,-1,-1,163463,-1,789135,649450,495435,993575,-1,54418,992471,-1,165745,702803,985178,-1,-1,-1,433385,-1,-1,-1,60413,707608,420403,-1,35941,517019,-1,-1,-1,-1,986407,818958,630392,761812,740670,59530,-1,612330,402051,396322,-1,302582,-1,947252,105615,697129,-1,303135,-1,978358,-1,-1,166440,-1,-1,-1,-1,907426,329051,-1,909963,-1,930457,377136,567559,325735,424602,-1,456805,939032,392576,594145,-1,832738,-1,717640,24233,-1,212025,134265,353181,117313,636160,351664,902927,-1,-1,621567,-1,-1,-1,-1,94142,-1,610912,187068,-1,-1,380809,-1,-1,606072,638743,-1,258752,73018,-1,853099,157724,-1,-1,787946,-1,508650,-1,-1,408376,493873,855219,583016,-1,424008,972493,260189,-1,93328,299617,612392,533845,-1,-1,289337,121090,-1,-1,-1,-1,577925,81110,-1,258983,410410,-1,-1,-1,-1,422598,115105,-1,362199,897034,-1,730268,-1,586902,780350,-1,-1,913399,837865,-1,-1,989360,418379,-1,-1,73903,-1,60959,260883,-1,779843,-1,-1,-1,544490,-1,79184,796495,-1,341434,-1,-1,-1,-1,693639,-1,-1,-1,-1,-1,-1,-1,-1,-1,271662,-1,-1,400984,810276,428868,-1,963886,-1,-1,-1,-1,-1,614093,-1,275679,370403,720210,-1,429811,753865,-1,-1,-1,262445,758991,-1,59692,95884,-1,-1,-1,-1,-1,945010,-1,-1,-1,446131,-1,-1,-1,962031,840852,-1,-1,-1,248179,-1,639164,-1,527941,-1,-1,-1,-1,267898,85279,-1,2643,919427,-1,23332,458966,774260,-1,-1,216971,388761,-1,-1,761045,-1,-1,494816,770572,502389,391702,27460,-1,975997,106598,-1,864709,-1,-1,-1,94382,-1,-1,335962,-1,83550,-1,-1,-1,637325,361074,-1,-1,324784,-1,114018,-1,157730,-1,777072,-1,-1,-1,-1,-1,-1,-1,-1,108161,-1,-1,-1,859044,-1,-1,-1,-1,-1,896604,-1,-1,-1,-1,-1,-1,569880,982170,-1,251909,466184,-1,760694,-1,-1,791837,160990,-1,-1,218827,-1,468394,563253,-1,-1,907628,-1,-1,9117,929051,535010,473354,-1,513756,-1,-1,777674,388128,-1,564101,281432,-1,273494,-1,805461,381316,919743,-1,138430,967304,-1,-1,329234,942277,-1,580208,-1,368415,286500,190334,-1,-1,-1,482610,-1,-1,-1,-1,-1,931105,822088,-1,870851,547536,775038,218789,-1,-1,-1,875319,222273,-1,794301,583140,803764,-1,-1,640391,-1,-1,121283,-1,-1,168782,-1,-1,792799,-1,548528,50889,-1,137212,-1,-1,266579,-1,428465,443851,746045,588290,-1,-1,-1,-1,-1,602594,321294,904424,319883,270464,985255,-1,606785,-1,-1,-1,-1,760991,-1,890122,216964,-1,-1,940476,-1,-1,-1,-1,-1,545697,-1,296026,-1,715421,464,-1,921656,665224,-1,802224,-1,259865,-1,-1,947501,622678,-1,-1,993919,83177,926839,415707,-1,196583,662318,805204,-1,712617,-1,442271,917822,-1,421578,704400,-1,-1,-1,937282,-1,915027,-1,945503,-1,457077,-1,-1,-1,-1,-1,-1,273419,352699,-1,335899,-1,650433,265029,524050,-1,-1,238452,-1,-1,-1,72064,525449,503398,-1,-1,60460,904600,970721,-1,-1,250597,241864,917112,-1,260210,235148,619940,-1,-1,740537,-1,-1,493233,680034,750096,-1,61889,992565,-1,-1,-1,-1,26301,698686,138091,625577,-1,-1,297654,-1,512491,-1,-1,871989,-1,-1,-1,296618,-1,982335,-1,-1,212443,355824,104234,481508,-1,-1,-1,547857,-1,490194,895480,-1,-1,-1,723175,924883,-1,-1,-1,-1,-1,476519,79487,-1,-1,198866,263665,-1,-1,233799,-1,681696,713358,692303,-1,-1,-1,639158,-1,-1,-1,-1,189146,407592,-1,-1,959840,177871,925980,-1,-1,376791,-1,355693,852178,-1,159155,401774,373807,-1,-1,44857,-1,-1,782275,-1,-1,-1,112845,830769,-1,957619,-1,403561,555606,175571,709783,-1,-1,247522,729168,804838,488078,330,-1,-1,344219,818248,-1,519705,-1,440682,715009,885414,96448,122052,-1,-1,598378,-1,-1,615452,779873,-1,-1,929647,-1,-1,-1,-1,332308,563884,-1,-1,-1,357817,838867,332726,25328,30665,834877,-1,455444,70628,715269,-1,-1,-1,641554,771853,-1,108955,-1,-1,-1,-1,645385,830589,904565,-1,-1,-1,704930,-1,-1,-1,-1,890280,618912,808530,-1,612336,226677,-1,739480,-1,-1,154243,317600,-1,-1,208068,-1,760120,-1,73137,-1,759755,947293,-1,831151,965999,828252,925412,-1,179514,-1,-1,-1,221491,-1,-1,-1,-1,567584,739619,95423,-1,897537,-1,-1,-1,-1,-1,-1,-1,241564,57535,-1,931180,314830,-1,-1,-1,411479,-1,678652,-1,764083,-1,-1,720185,-1,282280,-1,670173,-1,312987,-1,87311,-1,268942,-1,-1,928031,-1,841042,-1,-1,418731,-1,-1,586288,835733,265966,-1,-1,-1,-1,-1,-1,-1,478454,521640,-1,833673,-1,-1,-1,-1,-1,-1,-1,920237,-1,-1,574414,576920,-1,-1,448184,426145,921829,816645,-1,-1,-1,855840,-1,554130,806427,99478,416555,-1,-1,-1,63644,-1,-1,370147,-1,-1,530074,-1,-1,-1,-1,341992,-1,-1,-1,-1,-1,-1,328388,-1,279836,-1,393892,956317,278335,-1,321829,106567,816869,209689,-1,-1,-1,933329,-1,76412,421182,157253,-1,-1,201312,985551,-1,-1,179878,672043,-1,-1,-1,-1,208257,237706,-1,240192,57517,115226,-1,258778,907403,22019,537305,352021,-1,891737,727363,-1,798234,365421,-1,-1,-1,-1,-1,691363,913208,264335,-1,840702,513300,-1,484286,-1,-1,159115,-1,507556,-1,528497,-1,512410,-1,-1,65863,-1,524653,-1,-1,259506,-1,666324,-1,-1,-1,-1,-1,-1,-1,928283,-1,-1,-1,853437,657459,891420,436933,-1,-1,579285,151867,845715,-1,448978,-1,-1,547410,-1,-1,46417,694079,-1,-1,655160,338816,-1,-1,806696,78805,-1,39134,-1,-1,63609,67467,424933,-1,-1,-1,850793,682160,476451,-1,-1,-1,215292,348287,890379,220330,344973,-1,-1,268702,12866,-1,-1,843860,-1,-1,-1,664903,413943,338042,343870,-1,-1,-1,-1,820389,-1,-1,328739,744018,536299,-1,-1,497780,-1,-1,-1,857600,-1,-1,682498,663028,-1,359893,842822,-1,421024,-1,-1,184380,-1,259186,-1,492537,-1,972065,611944,227089,-1,-1,-1,377956,559758,-1,-1,-1,-1,-1,909657,-1,170649,-1,-1,-1,368912,145241,-1,-1,259653,594990,-1,146304,307583,-1,651476,-1,920642,600751,-1,329620,-1,-1,-1,269098,-1,42896,-1,-1,-1,-1,-1,-1,-1,210934,763523,688045,679500,-1,743059,-1,638521,289861,-1,-1,-1,623654,584269,-1,-1,-1,-1,718915,-1,-1,-1,644391,913778,-1,899450,-1,571706,825458,-1,6791,974481,-1,875876,586503,550387,-1,391408,-1,767211,-1,-1,799536,444670,-1,443208,-1,-1,899521,102840,-1,874707,-1,-1,898101,354283,545367,151127,23143,768454,104820,-1,-1,954968,-1,-1,-1,-1,774054,341251,302124,-1,921051,-1,-1,795364,-1,-1,-1,-1,-1,-1,267113,-1,-1,-1,-1,650142,-1,-1,746141,3432,-1,128175,831680,390239,-1,580971,770853,-1,-1,-1,-1,963235,831135,-1,-1,890726,-1,308353,627783,972637,-1,-1,-1,311011,-1,-1,-1,-1,897058,495576,127945,296555,729768,11378,659974,-1,-1,-1,634251,-1,851698,860732,479219,-1,470842,416344,391621,-1,-1,-1,-1,-1,-1,366218,-1,-1,581205,-1,-1,-1,840020,372067,272788,-1,538460,331302,-1,619074,975735,791652,-1,-1,66405,341749,-1,286523,67485,-1,807176,-1,482087,-1,226969,925641,555293,873076,604100,-1,-1,-1,827899,805265,234051,65558,-1,83216,-1,-1,-1,-1,-1,-1,739146,-1,324185,62448,566377,-1,-1,394244,-1,502226,-1,-1,692932,135189,-1,781727,-1,378383,28724,-1,604212,-1,-1,-1,-1,8893,-1,415139,513807,280956,-1,216298,-1,-1,-1,-1,-1,-1,968302,-1,286993,-1,547942,600383,-1,305885,-1,70928,19324,-1,339642,335488,269380,594826,-1,729756,350384,-1,-1,-1,-1,-1,767416,923705,-1,987188,29114,-1,843223,-1,-1,32170,-1,68434,540388,-1,-1,-1,586199,-1,-1,-1,475321,-1,-1,-1,8140,189504,218004,575335,-1,613668,561511,710815,142942,-1,361924,758849,479422,-1,-1,212990,270674,-1,-1,747798,-1,-1,-1,-1,-1,964596,545225,-1,-1,-1,957713,850106,-1,563614,-1,-1,-1,83155,625246,-1,755892,578739,961671,-1,-1,423202,-1,34431,-1,416361,718600,540685,-1,-1,-1,260381,784840,-1,646524,-1,426950,-1,702560,-1,664659,-1,922791,36197,-1,-1,924404,2670,-1,-1,108506,-1,-1,-1,-1,349091,568616,184229,-1,-1,-1,216306,196270,-1,831786,766269,-1,914295,-1,-1,-1,324865,23459,96797,816246,-1,-1,568659,-1,-1,-1,-1,540360,539647,967311,-1,941002,-1,347911,8946,-1,-1,690277,-1,179756,515446,-1,359763,-1,-1,225266,733320,885399,-1,-1,-1,778924,-1,-1,-1,-1,-1,-1,981775,384771,-1,164972,770893,170243,-1,997405,-1,-1,193313,590197,720789,500261,554122,422281,445589,455706,311245,-1,513437,-1,-1,-1,872697,-1,-1,-1,95095,428808,-1,-1,54957,297879,593152,-1,-1,-1,-1,-1,871286,-1,-1,-1,-1,-1,-1,443568,-1,474925,880416,-1,-1,634270,469618,-1,-1,140609,-1,72658,196266,673455,-1,488042,494177,-1,-1,-1,-1,-1,-1,253544,494825,898995,-1,-1,-1,201459,392164,-1,26923,185550,-1,-1,31296,-1,-1,769678,-1,202738,608085,-1,-1,-1,694153,871530,818540,789173,202264,996657,118303,107439,-1,617727,435587,830421,211517,556818,-1,-1,-1,-1,-1,-1,-1,-1,435175,-1,-1,-1,877394,819985,177650,900727,586694,-1,-1,692988,258799,349680,160290,9412,690787,-1,-1,8073,658250,227750,-1,180916,83968,205935,-1,376614,329528,535413,161580,576305,-1,817357,562824,847102,881526,-1,-1,361751,160540,588090,132172,682414,-1,937183,-1,903193,-1,-1,-1,331475,-1,-1,-1,626560,-1,-1,355107,769626,158226,360869,162323,-1,-1,934924,501624,325353,-1,142738,150561,175179,954068,668180,823123,-1,815665,781866,-1,239611,-1,796117,-1,28430,-1,-1,-1,707658,-1,-1,504526,360059,-1,194083,435082,-1,618113,-1,181612,-1,590340,-1,-1,44010,153362,675415,66537,-1,-1,-1,-1,-1,-1,265067,-1,442829,-1,615355,-1,-1,-1,-1,-1,-1,-1,852200,837946,98225,841422,-1,2765,74197,-1,-1,822976,888334,-1,265609,402838,-1,-1,661943,-1,-1,-1,-1,-1,16725,185011,-1,445112,-1,-1,307497,743510,-1,-1,471302,-1,-1,-1,670169,-1,-1,-1,556582,-1,-1,755733,159043,-1,876826,489972,-1,-1,165501,-1,-1,741807,532762,-1,-1,-1,884750,-1,-1,-1,-1,-1,25199,754657,-1,-1,712666,927811,348535,-1,-1,-1,430869,-1,-1,-1,-1,275018,-1,927834,-1,-1,-1,445815,-1,-1,974658,-1,226185,-1,880644,-1,-1,-1,266396,186715,-1,407083,-1,271562,230254,-1,181149,-1,-1,918637,-1,296321,260671,51295,-1,-1,386576,886269,-1,-1,-1,878409,-1,914587,-1,142352,-1,51400,400918,501553,-1,-1,899446,-1,-1,822038,-1,-1,-1,878928,366546,-1,694847,295901,-1,343632,-1,-1,49958,-1,-1,-1,-1,-1,-1,455235,-1,366292,978279,296405,92247,720544,324966,-1,850057,31369,-1,130288,164659,-1,261548,-1,-1,-1,-1,547753,-1,345575,-1,767956,301074,-1,-1,-1,-1,-1,-1,990447,-1,-1,-1,-1,-1,952577,-1,200622,723423,-1,991051,-1,-1,207598,-1,-1,446815,575091,527986,-1,259523,-1,68187,184040,418047,577601,-1,443462,968672,323702,-1,-1,135387,451655,-1,-1,618992,722576,-1,13739,234563,833677,-1,-1,-1,-1,-1,711622,-1,652588,555426,321773,107301,837982,421943,-1,-1,43513,-1,-1,321080,-1,-1,114085,-1,69126,379388,-1,585789,899995,-1,325310,752687,178389,-1,-1,-1,348680,857255,802860,567028,-1,-1,-1,-1,426,-1,-1,336427,951278,279504,-1,-1,440601,696487,161766,-1,-1,97951,-1,661263,-1,-1,974854,-1,818640,987855,655989,-1,199142,-1,-1,118760,-1,469780,224055,740015,-1,-1,163120,-1,-1,345806,-1,-1,189489,-1,-1,-1,-1,-1,-1,-1,-1,393831,-1,-1,-1,-1,396875,798005,363998,316234,-1,-1,-1,539596,2277,995115,-1,754368,-1,809562,-1,11572,-1,890342,-1,617258,434587,-1,-1,711601,98475,-1,-1,683784,-1,-1,75990,-1,-1,783917,854970,-1,-1,543868,-1,578155,37147,-1,941139,872473,941323,-1,-1,836528,-1,321151,697087,-1,251397,455549,388484,-1,-1,-1,613200,-1,840696,-1,589115,-1,-1,253494,306928,-1,-1,697938,-1,-1,-1,185679,101054,-1,34448,366170,27893,961612,-1,-1,-1,-1,898376,-1,89439,-1,630481,-1,-1,131513,-1,-1,-1,-1,-1,-1,-1,762897,-1,-1,258008,225725,-1,88303,-1,-1,466164,597664,-1,-1,198917,651003,-1,742607,-1,-1,616592,852953,893753,506618,650019,-1,99467,493629,989835,68577,808226,754162,-1,668290,-1,-1,904126,-1,-1,-1,780080,-1,519748,83731,548391,-1,413853,-1,941275,356322,-1,-1,-1,204946,-1,957998,-1,89130,477603,-1,674375,364678,776281,-1,911209,-1,-1,-1,-1,-1,-1,-1,-1,347962,-1,753058,-1,378532,281544,707864,-1,529763,-1,-1,-1,162666,427019,-1,-1,-1,780812,-1,588196,621074,-1,764691,-1,855693,-1,-1,-1,523491,-1,362082,-1,-1,-1,-1,724260,529674,-1,627904,-1,368553,-1,114752,650995,-1,-1,-1,782480,-1,-1,293716,997953,6354,949886,238897,-1,-1,-1,52439,704372,454466,712649,-1,247603,-1,-1,-1,-1,118317,-1,401004,-1,422209,-1,-1,-1,942115,632038,314446,58009,-1,963824,410065,728015,108561,-1,-1,-1,178745,-1,-1,-1,914171,724569,806858,-1,41197,-1,-1,-1,253548,-1,-1,68257,150149,-1,67162,724422,-1,206381,491020,607523,253088,869832,-1,-1,258874,70852,340590,-1,576621,375465,-1,-1,-1,8644,-1,-1,887868,76225,501942,-1,824919,-1,143500,-1,-1,722494,347401,856694,633856,252967,510013,597363,265322,-1,-1,-1,386909,-1,592405,-1,713002,-1,-1,-1,-1,-1,822155,-1,-1,12392,248209,632674,-1,80025,605342,-1,107894,738106,-1,248869,-1,-1,356895,-1,177516,307588,-1,163655,457700,-1,115412,846217,256217,-1,376528,46868,-1,583914,335124,350210,112670,-1,768171,-1,836434,284144,104618,670120,349378,-1,701643,345670,-1,964240,-1,-1,-1,941263,-1,997668,-1,-1,859067,632288,-1,115571,-1,-1,267951,989163,-1,-1,955914,-1,559025,-1,602736,760797,496668,-1,-1,-1,616947,-1,768705,-1,-1,-1,-1,-1,-1,335946,323035,-1,157461,921460,-1,537151,-1,689123,-1,-1,-1,-1,381934,478779,-1,865961,669249,474003,335326,617979,-1,-1,320798,-1,-1,576613,59362,-1,302074,-1,-1,274160,912151,-1,-1,-1,147951,792710,118192,-1,-1,-1,168150,-1,-1,289605,592833,610509,-1,-1,-1,587182,-1,-1,775758,-1,-1,-1,999380,826877,742647,233340,817061,-1,974184,921325,-1,614532,388878,-1,-1,-1,-1,-1,-1,439299,-1,521849,-1,-1,-1,-1,730102,-1,-1,300191,-1,-1,788784,468500,-1,496882,-1,694376,-1,-1,-1,-1,-1,614182,621107,-1,-1,404610,-1,-1,868895,826310,-1,818194,-1,100904,-1,-1,925608,-1,-1,-1,-1,398052,911154,-1,399988,899301,-1,-1,-1,-1,-1,-1,108566,-1,-1,-1,781650,407128,702030,-1,171522,27109,-1,861224,316251,640679,-1,289395,368178,-1,-1,-1,833466,808555,742321,-1,387382,-1,-1,688024,-1,150188,949741,324552,-1,-1,548844,252055,513127,-1,80985,919296,-1,-1,580813,-1,-1,447717,666070,934211,-1,931633,743408,-1,-1,-1,299929,-1,697868,-1,989635,-1,581692,568596,-1,590178,111683,-1,-1,613143,526523,328569,943141,-1,992517,851905,-1,98446,-1,-1,150918,-1,417880,-1,279755,673538,-1,-1,-1,188315,-1,389435,126370,-1,296602,-1,-1,718162,174502,-1,837904,-1,827080,-1,-1,-1,-1,-1,-1,277924,-1,-1,-1,608165,-1,-1,938095,681867,-1,-1,-1,890091,-1,141047,-1,886839,-1,557085,-1,688440,-1,-1,-1,-1,-1,-1,447785,-1,297761,580234,-1,-1,-1,-1,86111,-1,456338,286794,-1,-1,-1,-1,-1,588813,377177,-1,578648,-1,-1,197270,-1,-1,284252,952475,-1,-1,569808,162022,-1,873695,638269,-1,-1,-1,-1,136658,581885,8322,163342,43083,-1,568687,-1,-1,-1,211645,-1,723783,653407,344062,508656,-1,-1,832762,181371,-1,838788,-1,-1,696292,571174,-1,-1,-1,727577,357225,-1,-1,134298,699921,-1,898192,396316,-1,-1,-1,-1,79221,509131,-1,-1,-1,999399,370808,-1,-1,-1,376726,-1,945449,-1,-1,652475,534831,728569,-1,583591,-1,-1,169221,2751,-1,739983,-1,661,-1,-1,-1,330474,-1,6122,44033,351043,-1,-1,88572,-1,997282,665887,472713,66089,928116,859491,424058,-1,715479,-1,-1,-1,-1,-1,-1,622316,877829,-1,-1,-1,-1,445126,371317,-1,-1,341679,83316,520409,517738,-1,-1,-1,-1,-1,415211,588988,-1,-1,-1,920502,989847,-1,-1,793906,593413,917574,141337,751264,554192,-1,109290,-1,-1,-1,-1,876338,-1,201104,138383,746521,818497,375507,-1,164599,565224,561555,-1,-1,-1,601927,108818,939535,955220,-1,67346,-1,49145,-1,-1,64736,730758,715612,558169,-1,215691,785955,-1,-1,-1,310707,923307,-1,73182,-1,616834,860208,-1,322430,610787,391743,791134,781231,-1,-1,-1,361746,-1,502444,182649,-1,762975,188991,-1,-1,924548,608631,382600,-1,-1,780515,-1,-1,-1,205117,-1,-1,-1,-1,524516,153230,-1,-1,404588,335223,329771,-1,-1,-1,-1,647330,-1,885656,319791,445656,-1,949852,436479,-1,78669,-1,705753,-1,623804,556707,-1,270755,646509,10868,423660,-1,-1,-1,212439,-1,-1,608643,970972,-1,-1,630428,-1,433180,149839,-1,789402,-1,-1,-1,-1,151713,354652,196332,993140,-1,-1,783732,837867,690325,151141,90078,-1,114963,801742,-1,844024,484184,-1,-1,975708,-1,154420,643708,116330,793636,859357,783855,-1,524287,-1,-1,-1,-1,-1,669384,-1,615975,174452,383431,-1,152253,154594,-1,-1,242648,852831,-1,599050,340253,-1,-1,-1,431853,247247,452602,57865,897514,-1,-1,129884,520193,-1,510213,-1,-1,66190,406118,710457,-1,-1,-1,742399,-1,-1,-1,-1,-1,200750,-1,-1,445464,114521,816586,321011,934620,555139,-1,354414,743153,355255,-1,624862,-1,-1,-1,555017,420433,-1,746757,996342,-1,-1,-1,837856,-1,773488,795685,-1,140587,841106,-1,-1,-1,156469,797531,631056,900139,845019,784911,284233,-1,836355,898969,-1,838347,188539,116249,198652,-1,942656,-1,884773,-1,-1,-1,273109,-1,417376,-1,43003,-1,-1,-1,-1,-1,-1,-1,707651,-1,853809,-1,-1,753282,289922,-1,-1,-1,710738,462724,-1,172451,-1,-1,-1,-1,140684,577259,48394,-1,-1,59283,-1,-1,398806,-1,-1,-1,-1,-1,217119,142814,823129,-1,-1,338885,-1,-1,-1,-1,15323,-1,973445,-1,-1,-1,-1,-1,210584,-1,-1,21485,-1,196961,-1,96636,220920,684521,498488,935966,136121,930173,-1,-1,405595,814558,337485,233211,240065,-1,752281,-1,-1,-1,-1,-1,42321,717616,498436,774703,-1,-1,-1,248196,496128,911377,-1,-1,764625,-1,-1,-1,245088,-1,973535,-1,593115,878880,-1,-1,29889,799836,-1,33003,244576,432558,-1,803106,-1,-1,-1,890027,911460,593316,383711,196186,-1,-1,700697,83753,-1,-1,461491,-1,-1,-1,813481,-1,617978,-1,-1,85439,-1,-1,-1,502548,365551,-1,-1,391795,-1,988419,262471,-1,355537,-1,939775,-1,20596,-1,-1,933221,329351,217324,-1,163923,597256,942604,-1,-1,910529,912942,909861,179176,419030,-1,-1,910011,266376,742237,758341,-1,336903,620589,-1,839817,340105,-1,375924,-1,966541,-1,977536,-1,725191,911303,-1,-1,719054,258876,93347,-1,826458,-1,481245,-1,725683,237326,-1,265624,790722,396768,-1,263840,-1,-1,647412,864134,706226,-1,-1,-1,937741,-1,-1,92418,76893,492136,101086,-1,2477,-1,255222,205848,561338,-1,558969,552767,161693,677587,316830,484032,-1,223280,-1,323011,954258,-1,728738,281487,318955,237445,-1,108576,-1,-1,-1,18578,-1,-1,-1,-1,-1,808204,18318,-1,93115,978555,-1,-1,-1,385809,279810,311477,-1,863512,355523,-1,661643,428066,413860,-1,309228,452438,652971,683562,510339,110512,620870,734648,-1,715754,638161,-1,918815,62304,-1,744995,-1,-1,668806,-1,764584,-1,-1,-1,-1,784567,307943,317720,-1,525667,-1,439965,547690,-1,-1,-1,628925,244697,-1,420568,249689,-1,249216,214982,629006,171458,684965,-1,-1,566726,178208,-1,-1,-1,782834,339585,-1,574768,-1,-1,758885,583963,699972,655475,-1,-1,-1,692347,-1,150782,176201,-1,-1,128510,-1,-1,892699,688290,794694,469055,434175,104772,-1,659076,528392,-1,641929,-1,-1,25244,-1,-1,-1,312,-1,-1,274271,792697,-1,-1,937240,-1,762945,869820,110921,-1,-1,469610,-1,-1,835711,651369,-1,-1,-1,-1,864316,-1,609126,599773,-1,21238,-1,97051,255316,-1,539468,930217,-1,-1,-1,284861,-1,779837,874987,659828,-1,-1,942268,63540,546222,184064,952195,990789,1185,-1,-1,-1,-1,-1,153574,567073,-1,523449,728043,141535,-1,-1,-1,863689,-1,-1,583531,609342,-1,634043,195542,682068,-1,-1,-1,-1,386246,-1,647540,259713,817309,-1,356196,-1,191544,933987,824152,-1,623586,-1,-1,725115,-1,22024,488167,935119,344103,682807,-1,398918,904854,78584,-1,-1,-1,-1,-1,7846,646608,49405,-1,-1,-1,309047,783932,547954,570478,-1,-1,81339,802922,-1,126662,-1,-1,-1,122182,470631,11943,16531,583367,-1,464434,908351,448991,746255,-1,86140,-1,-1,-1,75192,-1,-1,-1,-1,-1,877941,-1,31441,-1,690417,-1,-1,-1,843816,-1,295312,-1,-1,116,220122,102529,475182,490134,-1,41336,-1,-1,302195,-1,797933,-1,876533,477722,614176,660493,946100,-1,782750,-1,775242,-1,-1,796084,-1,-1,574242,-1,-1,-1,396635,-1,-1,-1,270123,128090,469435,160453,-1,-1,865031,-1,61457,959280,857681,-1,-1,561797,180796,471323,538051,-1,339579,-1,4029,-1,412818,191838,128354,763621,-1,375240,500042,-1,556861,55080,560911,-1,611395,-1,-1,-1,-1,312729,-1,929491,-1,465467,-1,-1,-1,-1,-1,-1,126964,968027,19423,480016,285898,512828,673086,369849,896046,-1,629357,136900,69745,862893,-1,653113,167849,963639,353214,76950,-1,172281,659199,-1,402494,-1,703143,-1,950096,303856,-1,-1,-1,656210,471113,-1,617620,873607,640475,661848,129145,-1,228092,-1,260630,-1,-1,579768,-1,-1,-1,722100,831582,-1,-1,121179,517749,-1,804210,47815,-1,-1,-1,701382,-1,-1,-1,-1,497814,-1,-1,465607,308936,946288,-1,213835,-1,-1,918887,-1,637358,109764,112067,-1,-1,-1,996588,847166,679642,283423,235179,-1,704538,332513,-1,738853,26043,512145,-1,470313,31263,-1,-1,86323,-1,-1,-1,-1,-1,-1,-1,-1,330058,561308,-1,-1,-1,220935,-1,-1,-1,-1,-1,-1,840063,535406,-1,296382,-1,-1,-1,-1,234455,939045,800431,49549,411626,463769,732679,75882,960887,-1,-1,715566,151401,112491,127556,34507,421272,-1,-1,-1,786610,-1,-1,-1,681676,180640,-1,-1,867620,-1,-1,-1,-1,-1,332799,736377,-1,686432,-1,-1,855735,820285,-1,-1,-1,-1,604571,-1,632277,190340,614075,908464,418050,-1,172868,-1,135486,-1,-1,-1,-1,65006,334118,-1,8023,-1,587120,-1,-1,-1,-1,-1,-1,-1,794740,-1,-1,-1,856441,696384,583075,391553,-1,-1,-1,-1,-1,129340,-1,-1,386432,-1,-1,168916,149184,516825,484311,-1,-1,-1,565385,671056,398813,51544,-1,-1,759845,-1,-1,746065,502813,628804,-1,210854,140917,316243,-1,-1,111969,262530,203989,570621,-1,721068,237447,-1,382364,501078,-1,648008,-1,178969,-1,834380,113259,746213,90382,-1,-1,-1,376225,-1,909314,936604,568948,-1,-1,125656,-1,-1,684005,397277,47867,-1,-1,762750,-1,-1,-1,-1,118124,718470,572963,-1,718444,970471,-1,438524,849220,243791,-1,-1,957000,552997,-1,36242,-1,225227,-1,556788,-1,-1,-1,516749,-1,236007,-1,261834,734069,554926,275756,260583,-1,348792,-1,669819,274635,-1,-1,-1,644217,2938,401483,818467,-1,927318,-1,-1,945256,189160,752843,935588,-1,-1,859130,-1,-1,827218,-1,-1,569780,292372,582792,19103,266774,783350,-1,-1,-1,24861,833630,832014,813934,-1,-1,-1,-1,599951,-1,-1,252792,761868,246965,-1,-1,3513,-1,835633,660008,-1,-1,444517,12373,-1,-1,-1,561909,-1,123926,256595,441781,398792,309407,301743,-1,-1,525354,-1,-1,137452,78946,-1,646,787816,657634,-1,168858,389487,942063,-1,486092,-1,348005,-1,231896,-1,-1,56909,-1,830450,904323,602672,-1,622038,-1,-1,349496,-1,336353,920921,674291,628564,645241,647534,162423,-1,563866,-1,-1,-1,896315,336652,54282,988385,231835,-1,788507,279569,225760,-1,652818,868939,516895,928975,601079,725666,-1,-1,-1,912529,86971,226332,-1,402891,-1,323651,-1,545878,196856,336612,677552,362229,706216,848910,227134,-1,436723,-1,358981,-1,88805,925823,-1,540083,-1,-1,-1,-1,138439,-1,-1,-1,-1,-1,-1,-1,614130,836271,441941,-1,-1,488339,-1,-1,51392,784386,-1,928257,704767,586243,571072,-1,937296,621457,450997,715762,-1,629016,781175,-1,-1,457247,-1,379751,218604,-1,84,365013,-1,675729,-1,907825,-1,-1,160337,-1,-1,-1,-1,756211,-1,-1,-1,-1,652523,-1,410036,118783,-1,-1,865709,-1,-1,-1,14310,730290,-1,-1,-1,300436,995733,529864,-1,676641,241819,594205,-1,742092,237632,-1,-1,-1,-1,427427,560269,-1,127246,851077,639265,-1,-1,-1,-1,-1,-1,982908,-1,345864,590325,-1,143461,100257,-1,-1,-1,-1,52313,530056,-1,233199,693841,26474,-1,-1,452264,-1,-1,359457,475051,-1,-1,-1,-1,120743,-1,-1,174727,857289,-1,-1,108004,-1,980391,-1,413013,-1,51748,663576,499158,-1,-1,-1,-1,160658,-1,-1,521561,72494,915985,-1,-1,567293,700628,892514,-1,-1,-1,-1,-1,808916,381037,-1,-1,518406,813024,583625,89495,236431,806966,823088,-1,885795,7129,362104,162507,-1,784827,125164,-1,738366,-1,980819,169057,339950,-1,394576,131913,118457,365051,156808,405295,-1,-1,-1,657685,304081,315262,-1,-1,386535,-1,-1,-1,249624,-1,245336,-1,-1,924946,-1,586384,387016,987457,129770,-1,-1,-1,119484,669673,243944,-1,-1,-1,-1,-1,901393,120951,-1,837007,966890,227090,-1,-1,80596,733357,-1,-1,-1,482596,-1,700020,-1,-1,-1,-1,-1,-1,524776,-1,-1,14403,61814,-1,-1,856154,-1,-1,317283,-1,-1,-1,-1,192760,-1,922476,490326,-1,-1,401877,-1,579241,-1,-1,386835,620387,-1,90348,-1,610247,-1,-1,730067,-1,-1,-1,988493,569484,-1,-1,687810,-1,628096,402459,-1,-1,-1,-1,-1,54551,31775,301559,-1,906966,66370,936903,776079,545405,781328,624696,-1,13810,-1,954184,-1,86162,-1,351477,954988,-1,674701,614418,726166,-1,-1,-1,-1,-1,-1,-1,-1,228013,652589,-1,-1,-1,-1,622872,438821,-1,-1,-1,371372,-1,-1,156422,-1,-1,-1,-1,-1,716613,-1,505730,416991,694148,638819,965107,-1,-1,144316,645240,545601,-1,-1,-1,852365,43735,-1,916747,964601,-1,-1,783377,-1,539951,786413,-1,-1,337708,-1,-1,299146,919414,-1,-1,-1,-1,12595,463257,-1,-1,19860,35951,-1,-1,-1,774736,-1,-1,-1,-1,662709,439594,-1,-1,345839,776707,-1,-1,929277,100770,-1,890377,71302,64381,969906,-1,321708,239112,-1,-1,492627,296243,-1,912200,987057,-1,278176,-1,-1,957330,7072,-1,884166,645684,418536,-1,-1,-1,-1,96484,-1,-1,-1,-1,-1,76840,-1,706902,-1,732706,-1,668267,-1,295192,819768,939203,-1,888032,259608,-1,-1,-1,-1,636830,634168,157417,794039,792886,-1,-1,151621,865474,533595,219218,-1,605938,-1,-1,950824,-1,-1,140042,448542,-1,-1,40204,-1,692793,-1,-1,-1,-1,809585,7194,309423,884079,-1,302118,-1,694625,558136,764630,-1,336154,408805,897010,-1,-1,75584,-1,-1,573187,847822,-1,125417,-1,-1,3363,475104,-1,-1,-1,-1,4497,-1,943457,-1,785668,-1,-1,953551,830188,520635,848570,-1,834434,326688,-1,336306,-1,-1,-1,588086,316813,-1,-1,-1,93437,-1,580522,366801,815759,-1,-1,-1,-1,-1,22596,517857,697767,-1,152484,-1,-1,715241,773738,224066,-1,898550,-1,152808,419362,-1,616315,-1,-1,311833,-1,817154,747285,111756,-1,556754,-1,147207,238234,951483,199681,-1,224222,-1,114448,-1,640501,650186,846295,-1,-1,865264,787699,-1,-1,915870,764450,-1,-1,-1,-1,-1,-1,-1,-1,93066,-1,338191,-1,-1,-1,802722,-1,67226,279386,-1,823810,755668,-1,518770,87899,-1,-1,104825,686617,990414,345071,678932,558094,250200,735922,168043,855879,139841,-1,-1,741510,-1,-1,-1,-1,885733,-1,-1,-1,909306,83642,991639,-1,212477,-1,-1,-1,526062,-1,-1,885120,548412,76875,912296,425573,359362,799407,637667,218320,812488,428257,-1,916457,-1,115806,268652,-1,-1,-1,-1,-1,657086,194691,791391,-1,612918,745254,485999,337625,882371,583939,-1,150684,-1,973545,485231,-1,382375,-1,225564,-1,-1,-1,718026,789172,-1,-1,240932,631099,591855,-1,-1,-1,779704,-1,-1,-1,-1,-1,443143,-1,242214,-1,-1,-1,-1,-1,995983,-1,429096,155581,175993,52115,832407,-1,-1,-1,504843,-1,-1,785229,971296,839640,-1,-1,664633,964127,-1,-1,752130,86988,644046,-1,168515,607665,285182,202683,235509,5193,170374,-1,463130,723676,-1,850195,876740,139626,-1,336757,536369,58810,-1,-1,382423,300063,339205,861405,-1,4811,626894,-1,430426,858634,-1,-1,-1,529395,430121,953281,289300,168955,-1,-1,-1,-1,652978,-1,-1,-1,324262,-1,401173,660309,-1,168832,667577,155958,-1,348707,519875,693060,68214,41800,375032,462219,-1,-1,167306,113629,-1,-1,609745,119984,-1,-1,-1,-1,814339,398654,361718,692880,-1,36218,-1,-1,526622,-1,11747,1178,587221,605341,614914,-1,-1,-1,-1,38781,359025,-1,-1,-1,-1,-1,-1,227148,859238,-1,256965,-1,126431,-1,-1,761350,-1,483968,288705,-1,224676,807505,-1,-1,581301,-1,317354,624856,706212,-1,867585,31543,330220,-1,-1,-1,-1,626248,-1,-1,-1,725144,-1,-1,680328,105585,-1,325107,128803,-1,-1,-1,-1,378363,-1,762702,-1,-1,-1,479069,116884,948174,290322,-1,-1,-1,93497,559490,-1,-1,790409,-1,751059,732677,-1,770052,112391,-1,166673,733683,-1,215822,612124,426420,-1,570749,961744,519779,520337,-1,880403,-1,460395,-1,-1,-1,747915,753583,858381,-1,-1,686296,35692,869552,237267,992240,735461,-1,716839,676821,-1,-1,515407,-1,62054,-1,439211,724096,740755,247900,-1,788042,-1,510990,-1,882964,-1,60311,-1,-1,-1,-1,-1,182697,-1,-1,-1,-1,-1,-1,-1,286421,-1,-1,-1,475756,444298,-1,-1,-1,457639,716111,-1,-1,480463,723490,412797,-1,89741,-1,-1,-1,-1,961411,381743,-1,-1,860924,-1,722284,110862,-1,-1,-1,-1,65477,-1,527078,444548,911512,229905,-1,-1,-1,-1,887917,-1,474900,-1,674056,649588,-1,-1,-1,459546,-1,969725,515926,-1,757929,633045,-1,715922,466487,201534,-1,751066,505664,-1,-1,-1,257465,-1,987893,287763,-1,313752,603092,468573,-1,-1,-1,342669,729693,27350,768916,140600,-1,134359,-1,-1,713860,914246,-1,582642,-1,158564,-1,312425,-1,132192,7836,431201,-1,-1,259248,297579,-1,-1,454679,162636,-1,-1,-1,-1,11195,57524,-1,-1,732589,319840,361257,578930,757636,-1,-1,514631,-1,-1,-1,610033,691585,349269,88617,-1,-1,968480,664118,971538,111654,-1,-1,-1,521008,-1,913622,455139,576102,-1,807934,-1,521347,14487,386509,-1,-1,-1,-1,592913,-1,852081,338543,-1,988236,888485,-1,645739,-1,418749,425582,286759,697980,337914,-1,856851,287330,442743,320420,-1,416815,-1,-1,-1,-1,443658,-1,338212,786450,862541,546245,-1,-1,576222,-1,487298,-1,-1,-1,645691,-1,-1,-1,-1,849451,-1,747548,214766,-1,230134,-1,-1,604731,122671,873560,-1,834835,-1,101813,-1,761478,945072,-1,-1,-1,484185,791174,-1,-1,-1,17205,860876,843213,-1,171126,281677,641766,892700,620211,-1,-1,-1,763204,280426,565537,148861,-1,-1,357914,-1,497819,-1,249794,440947,738870,695236,695173,-1,797512,796231,-1,578642,604017,-1,274062,-1,-1,808970,-1,-1,903508,316925,140591,187546,884250,-1,485495,59527,-1,-1,-1,592639,-1,279241,-1,-1,-1,471412,-1,203155,-1,-1,-1,-1,-1,221185,962225,873422,205803,109412,810693,347625,-1,-1,-1,-1,622078,-1,-1,-1,681904,-1,-1,100911,694228,991437,-1,168127,128491,-1,-1,-1,-1,599379,454845,-1,49821,896616,895934,908275,203809,706755,245968,873960,894648,265338,-1,-1,-1,277122,-1,956428,109719,-1,775223,406493,-1,338673,-1,765875,791615,-1,-1,-1,-1,-1,-1,878063,-1,1367,105561,477512,709441,-1,-1,-1,-1,-1,307042,534479,488751,853017,23031,109085,665843,-1,103506,85765,-1,452248,558502,-1,-1,633871,-1,-1,961961,-1,-1,-1,238355,-1,524652,128730,-1,449031,-1,-1,695791,22545,-1,528889,-1,426366,-1,608867,836479,744390,94275,598997,207391,408286,-1,215773,-1,-1,-1,-1,-1,-1,-1,-1,889091,442258,445366,550852,500330,59761,196923,-1,-1,-1,-1,-1,-1,248847,692812,921394,439316,-1,230218,696243,-1,134276,-1,620430,-1,-1,805246,122302,696727,-1,-1,-1,-1,957573,-1,671193,-1,-1,574900,326389,-1,-1,590390,197334,-1,100967,158216,-1,76062,88238,-1,701322,-1,-1,534106,893735,-1,-1,-1,60428,227097,-1,956689,36324,-1,667629,612652,974929,938452,-1,-1,-1,-1,-1,787228,150524,321168,-1,310486,-1,465963,840967,302133,-1,-1,769950,133610,237255,-1,634098,-1,-1,594150,990995,-1,384093,-1,-1,-1,-1,-1,-1,-1,780712,717505,-1,-1,438459,-1,-1,-1,544835,-1,644827,184570,203693,-1,-1,-1,-1,-1,-1,833439,738074,656950,396832,-1,-1,271914,9661,74529,-1,-1,-1,240206,656427,-1,-1,-1,-1,558180,-1,-1,-1,-1,818624,-1,808569,174874,-1,-1,160132,-1,-1,502874,-1,-1,-1,220011,-1,962976,364476,-1,-1,-1,240229,-1,318370,405505,646954,-1,-1,-1,-1,996557,735790,762532,96270,771441,298547,-1,-1,863945,-1,666090,-1,-1,-1,964164,844123,-1,-1,-1,-1,-1,252263,-1,-1,-1,-1,804383,-1,-1,-1,-1,-1,676110,395725,318383,-1,147829,-1,370123,-1,-1,320365,153749,-1,931970,159813,189780,928158,-1,900712,621983,-1,346527,346024,223841,-1,-1,-1,-1,-1,776571,-1,552104,756140,-1,500413,-1,-1,149338,418628,-1,689431,717318,-1,281372,428524,-1,-1,774225,709700,983010,-1,-1,-1,156925,395111,-1,631442,804168,-1,-1,222674,562109,340489,-1,861452,-1,8020,-1,65599,393079,453979,-1,-1,881299,287534,-1,-1,-1,-1,609524,-1,-1,361821,784107,-1,-1,-1,688497,-1,-1,571094,858395,-1,487430,256219,-1,371386,145387,752323,503391,511611,-1,392744,946222,700256,-1,-1,863586,-1,-1,597804,-1,-1,-1,-1,-1,848651,762979,496119,820861,-1,179532,651821,536065,-1,-1,-1,174750,758634,664921,551756,169621,-1,-1,-1,869440,764638,-1,132137,-1,-1,670026,-1,719621,-1,-1,-1,425270,-1,-1,-1,-1,608297,451685,-1,-1,-1,-1,544824,-1,302594,-1,-1,-1,-1,632772,-1,720571,-1,453941,615807,-1,524634,-1,-1,-1,-1,601857,-1,397823,864263,-1,426705,761459,-1,-1,-1,-1,-1,628712,881558,29388,323736,-1,551047,292736,-1,527559,164345,949990,913955,809428,-1,-1,-1,-1,683402,-1,12213,-1,-1,473011,-1,-1,-1,-1,592377,-1,554437,-1,809589,775360,-1,716785,-1,-1,101020,-1,-1,-1,7877,-1,667089,-1,-1,658051,-1,258560,765301,721455,-1,-1,569851,-1,-1,774885,372380,-1,500479,492509,-1,-1,840107,924842,-1,-1,223494,525205,567018,374610,320194,565851,580129,404198,314493,-1,573033,-1,128924,-1,96454,216549,-1,-1,-1,-1,171431,-1,601705,-1,-1,-1,620839,928909,-1,-1,-1,-1,-1,-1,-1,-1,136754,464142,442586,21274,-1,-1,107144,-1,-1,-1,-1,471596,-1,736890,-1,957144,-1,921321,-1,-1,46645,981711,-1,776938,-1,-1,-1,635674,-1,785722,472050,602258,604169,-1,-1,-1,-1,-1,-1,-1,-1,-1,889057,-1,-1,-1,815795,979711,-1,-1,-1,809770,-1,817186,-1,934344,-1,-1,-1,495004,344867,-1,-1,23714,-1,-1,-1,621164,-1,-1,-1,-1,-1,409416,68846,227057,-1,-1,568172,-1,-1,-1,-1,-1,65025,485143,-1,924339,-1,-1,548349,447451,-1,298300,-1,824633,-1,-1,906522,-1,-1,-1,428114,364069,-1,-1,572915,491973,93973,-1,-1,-1,97293,-1,868115,255131,957130,644213,-1,533627,-1,-1,-1,-1,104605,453422,844863,-1,125836,780159,-1,856477,-1,587970,69942,791169,-1,-1,881959,-1,-1,-1,352426,878843,-1,-1,584549,890148,283236,736523,703299,-1,-1,208917,-1,-1,598965,826612,838909,-1,357181,949350,-1,-1,-1,-1,716054,148687,426877,-1,-1,-1,592375,25535,377245,-1,-1,422485,-1,714390,720551,996545,950124,-1,650738,-1,-1,-1,-1,-1,-1,174841,-1,-1,-1,-1,485913,-1,-1,-1,110770,242702,-1,964502,-1,-1,-1,454236,-1,144479,-1,703680,533197,-1,-1,545473,97745,662212,130621,-1,-1,778616,-1,909236,110968,-1,185336,-1,915860,452688,-1,-1,-1,798742,-1,904240,575539,-1,-1,121560,-1,859136,-1,-1,-1,-1,760520,144109,-1,-1,121867,129888,219885,-1,875765,-1,290090,197884,77204,-1,-1,816156,675258,608728,776530,-1,370680,880315,441008,437571,836181,110122,602234,-1,215330,-1,546237,-1,948701,6852,-1,714118,433341,164022,-1,293644,318223,332131,687572,-1,168883,-1,-1,800795,-1,448084,992620,326092,691064,427659,77768,-1,-1,-1,134120,-1,20926,-1,252339,-1,942879,443714,57380,-1,683825,415140,-1,326591,70793,109222,-1,597853,-1,-1,5778,-1,-1,-1,84662,-1,576312,-1,-1,-1,902870,-1,183362,463484,-1,-1,-1,798545,-1,301909,-1,478770,543604,769705,-1,358275,-1,850820,642370,-1,560593,-1,-1,-1,-1,-1,-1,978224,-1,833231,-1,-1,-1,623135,-1,-1,404191,372311,-1,408091,-1,12197,911613,809213,710788,349821,-1,-1,-1,-1,-1,-1,-1,585868,-1,-1,-1,-1,493330,-1,185355,-1,-1,27230,445422,280597,-1,207186,148572,-1,-1,446636,997982,-1,626082,696260,256230,-1,-1,689656,244259,91948,39114,-1,431445,-1,999096,-1,20727,-1,409,637335,-1,-1,278535,80832,626895,-1,957841,389296,-1,-1,-1,325049,-1,-1,-1,595840,874139,443581,-1,631415,-1,899488,561463,777858,-1,946862,341122,42881,-1,579125,704841,-1,-1,359259,-1,-1,818836,-1,-1,413801,-1,313351,-1,664299,386961,650928,-1,475047,-1,-1,760412,868272,519897,422914,954143,-1,-1,-1,-1,702490,948734,966610,-1,752772,-1,792169,810692,883312,-1,112940,-1,-1,761339,319151,-1,-1,874603,-1,-1,-1,-1,-1,-1,-1,10224,792675,556120,-1,-1,-1,810382,758580,-1,-1,224871,710893,477955,-1,152897,491914,-1,753243,-1,153189,869879,-1,896721,-1,936500,-1,793082,466339,979596,968964,248526,931217,-1,-1,-1,90206,-1,-1,475315,-1,98202,721384,321345,-1,915572,413182,-1,-1,880390,212842,-1,-1,30155,378317,-1,-1,393136,327677,431683,771940,635709,896358,749547,213357,-1,-1,41160,696298,-1,641899,116524,519228,120040,-1,-1,-1,-1,267238,-1,186714,75277,552896,589116,-1,73529,602243,464070,-1,-1,-1,-1,703042,-1,729416,-1,264867,584390,51565,-1,570746,293676,-1,-1,-1,248302,506395,-1,577576,889622,219294,-1,330587,-1,896153,-1,362701,803082,-1,364970,861042,-1,-1,611442,315386,-1,742584,833379,-1,310629,81256,-1,308294,-1,888859,635573,959371,864938,222898,-1,-1,-1,533841,761456,-1,-1,-1,779241,585602,659960,-1,-1,441596,-1,810386,-1,539436,-1,-1,-1,579267,-1,238722,853861,-1,-1,-1,433555,595784,-1,220321,285715,447495,644029,-1,962480,-1,-1,154591,927514,254664,971382,961,702499,437171,659313,313754,-1,286279,-1,-1,-1,-1,842039,-1,-1,93213,-1,-1,557317,-1,79344,166532,-1,-1,-1,666009,231571,-1,-1,258283,151539,134099,89173,-1,100599,-1,175493,-1,714258,977572,926914,-1,-1,-1,-1,-1,-1,750202,-1,673210,486710,-1,-1,879604,-1,19259,65516,-1,301658,-1,656650,610229,-1,-1,155286,289554,-1,418680,991762,-1,-1,-1,770983,-1,954330,-1,533705,526471,585781,-1,-1,-1,-1,949035,580595,867309,387381,890930,-1,643314,1921,607436,654231,-1,241773,621035,248484,-1,451144,-1,496973,344291,-1,138510,-1,-1,698809,-1,-1,148937,691041,9137,284378,-1,-1,116151,-1,930358,12178,-1,69872,224423,-1,723105,989436,590757,-1,881548,-1,-1,-1,847686,-1,-1,357155,550101,415436,-1,303392,411891,-1,-1,153953,-1,-1,-1,-1,-1,-1,-1,376641,-1,187570,-1,439553,-1,-1,948518,173347,-1,674658,-1,140309,328599,-1,340706,7683,-1,710163,-1,-1,216617,305574,-1,222627,946758,855034,705739,-1,577330,437934,224401,-1,-1,133722,450417,2438,-1,-1,241847,753923,311643,-1,-1,-1,-1,-1,983506,784546,367717,-1,543521,49361,564633,-1,-1,-1,194938,716097,764486,743887,-1,19620,-1,-1,821893,-1,32102,-1,-1,-1,-1,213780,-1,-1,-1,67192,-1,-1,625031,961975,190467,725827,804808,312359,-1,244549,-1,-1,32646,697377,-1,-1,-1,901663,881043,833300,768674,519180,756217,838329,887975,53808,-1,-1,413254,873685,951736,667962,-1,919691,-1,-1,-1,662992,-1,893240,-1,-1,771351,446796,-1,76050,186139,842643,-1,-1,-1,788261,427450,328855,977694,-1,-1,548307,-1,-1,118519,856555,-1,154444,362377,-1,-1,-1,127287,396591,85699,-1,423427,-1,845764,150286,290008,25770,328215,759590,829689,-1,296942,-1,311769,213439,314262,796289,277025,571642,348232,683172,971073,-1,989997,-1,162581,-1,-1,-1,313008,36904,-1,-1,-1,519948,-1,-1,760687,611998,797278,-1,999283,-1,-1,-1,-1,-1,502047,911414,-1,579275,-1,-1,-1,801103,-1,576013,221793,140148,16095,-1,-1,66802,-1,677641,-1,491830,755060,-1,-1,-1,959907,516923,-1,-1,-1,68525,-1,-1,-1,341666,340309,-1,-1,-1,529909,-1,-1,279495,-1,-1,392161,443394,110573,-1,928353,343778,-1,-1,385737,549813,350804,954885,-1,670768,-1,131624,483297,-1,-1,125904,-1,589731,-1,-1,-1,122942,204479,597877,474569,331077,142909,-1,247401,708477,-1,627864,945040,636550,-1,147842,456867,792903,877517,825350,-1,-1,-1,-1,-1,620274,956278,805748,-1,-1,206809,-1,-1,351351,2299,-1,947661,-1,8349,882604,-1,-1,-1,-1,661452,674615,974835,-1,-1,397254,-1,-1,-1,107270,970959,176123,-1,313913,-1,-1,932965,843122,-1,-1,-1,-1,-1,365772,-1,-1,476882,-1,391575,-1,-1,620739,403519,683614,-1,-1,-1,497562,876801,-1,532270,889406,359979,904821,-1,-1,-1,171844,257259,351787,666670,-1,349059,-1,470624,706123,961643,-1,-1,-1,-1,571090,-1,-1,761897,-1,-1,-1,55081,586465,18137,-1,-1,-1,40999,933286,38026,-1,677820,593827,415700,216336,-1,360654,879264,870654,-1,155545,-1,706997,-1,-1,586644,26592,179158,-1,47407,-1,-1,804370,440115,372707,386238,97919,-1,-1,-1,177758,328132,501897,322004,-1,-1,953215,-1,-1,-1,346426,-1,139375,493462,176812,666375,514372,179004,986775,-1,-1,147413,-1,-1,-1,873073,836558,-1,351349,-1,994241,587610,175680,-1,-1,651101,366732,-1,187128,810171,663642,59017,872599,-1,698403,141946,628513,627256,908527,-1,-1,488706,420548,-1,-1,-1,843622,215346,-1,-1,-1,-1,-1,396980,423946,305331,951482,751878,731804,-1,29802,619343,923800,-1,48055,111982,670620,-1,-1,-1,-1,-1,341239,562721,109780,-1,644233,-1,-1,120007,185749,408358,263568,248565,-1,640659,128166,-1,475720,708539,-1,367427,-1,688078,443690,-1,-1,-1,-1,612679,476041,-1,540750,850213,-1,643962,-1,28257,-1,-1,253226,-1,-1,-1,-1,113990,-1,852165,381863,-1,-1,-1,549693,953914,-1,238696,-1,-1,744312,-1,-1,-1,955322,131996,195829,-1,-1,261964,915321,-1,-1,809725,-1,-1,806679,-1,-1,-1,-1,502176,698439,-1,447213,607622,-1,924709,-1,201082,211515,-1,-1,-1,46248,-1,35500,-1,-1,579057,-1,744656,-1,902167,-1,-1,272754,938915,18941,724024,616226,-1,285509,690424,-1,-1,-1,213898,-1,226627,500972,20126,-1,-1,250921,164939,-1,-1,863189,-1,836567,-1,-1,260342,-1,356907,211905,-1,23889,-1,-1,-1,226160,-1,961510,801295,164461,705182,548129,-1,-1,553571,-1,-1,27420,-1,933829,-1,179598,953212,-1,80518,-1,105246,-1,272742,853158,64069,-1,454971,741328,-1,447087,-1,-1,-1,-1,670107,-1,550413,295780,-1,740630,-1,-1,-1,753991,-1,756954,-1,77044,-1,-1,-1,994110,-1,953516,573744,702991,95470,101551,-1,670051,818559,434436,631528,-1,-1,-1,643091,511940,-1,-1,607504,-1,-1,-1,-1,-1,500014,170574,105872,620432,891786,728427,209862,-1,198669,-1,395339,-1,-1,611144,-1,569984,73248,-1,-1,175315,-1,-1,-1,53994,1361,911955,-1,219677,-1,-1,628546,-1,-1,-1,-1,88875,796388,-1,83938,-1,-1,-1,885623,-1,-1,954383,-1,291081,213519,-1,-1,779073,-1,678221,350141,-1,428745,-1,-1,320241,462621,-1,252316,60627,-1,712520,101094,-1,634556,557574,948451,-1,-1,26134,-1,383541,921754,470143,861003,-1,-1,-1,255033,-1,-1,-1,-1,-1,-1,359645,-1,-1,-1,943836,617419,-1,193067,778904,186444,761533,352360,-1,521743,-1,-1,-1,874711,-1,739876,584399,220885,332996,446597,-1,326039,-1,202774,245509,-1,-1,-1,747570,-1,650094,243608,744415,63769,-1,-1,-1,553004,185933,696732,-1,440182,823491,-1,-1,-1,841301,-1,342116,-1,-1,799044,910329,-1,994740,492563,606191,-1,157955,696024,-1,-1,948769,127292,604116,398658,39386,-1,-1,-1,-1,-1,531482,-1,532446,38794,-1,-1,758860,-1,307633,243764,-1,626758,804246,894737,485522,130202,24787,-1,618789,-1,944979,866667,500534,-1,-1,652205,297361,-1,-1,958618,438352,-1,-1,-1,-1,-1,-1,749258,73823,686829,239479,-1,-1,344897,-1,-1,703947,-1,712868,346665,-1,46439,-1,572767,-1,-1,186060,484806,690515,600879,419191,-1,886513,796069,465134,-1,-1,-1,-1,578492,245066,-1,-1,360376,-1,-1,-1,35554,-1,-1,978443,-1,-1,-1,-1,419111,-1,-1,451640,-1,-1,-1,862659,716596,-1,-1,-1,-1,18215,972447,945663,702875,-1,388841,372983,597093,-1,-1,716124,205,676106,895758,-1,799820,500312,87140,-1,-1,-1,-1,-1,940171,206139,-1,984393,-1,140059,966358,808781,-1,-1,-1,-1,-1,268266,481049,252120,764433,-1,-1,-1,203856,-1,715542,148739,-1,82515,-1,-1,258016,460308,-1,-1,534225,-1,438697,-1,-1,-1,315353,671401,-1,574521,791097,673644,-1,-1,288636,-1,-1,62347,836636,-1,584164,-1,742391,345391,-1,-1,-1,-1,105669,-1,-1,-1,339971,-1,-1,665130,349330,-1,-1,-1,213651,113853,256352,-1,481093,-1,741305,-1,-1,-1,-1,726875,974517,903926,764409,-1,-1,244195,-1,76832,-1,379090,2882,-1,432394,-1,35666,-1,-1,137846,366389,-1,-1,758166,376654,996996,-1,-1,308489,-1,582245,467376,-1,-1,675000,-1,560103,-1,971498,879332,-1,929703,892451,521373,-1,-1,-1,-1,-1,436437,-1,-1,449725,151124,709752,721504,-1,526468,-1,773234,-1,-1,539574,-1,806546,-1,-1,890866,7834,-1,-1,-1,212472,-1,424256,370053,247027,-1,262429,155683,-1,537609,542454,-1,149497,-1,-1,956338,346940,-1,-1,363158,293418,-1,512598,181173,-1,906571,1067,-1,-1,-1,192750,403391,452129,-1,-1,-1,-1,68284,916253,405058,580301,-1,-1,-1,-1,-1,-1,166968,-1,-1,863170,179758,-1,318432,-1,-1,281421,908807,523964,422135,331514,-1,-1,-1,-1,943062,86121,802349,231720,254474,-1,-1,-1,-1,163674,464732,281700,-1,-1,-1,535313,139024,-1,-1,-1,495543,-1,-1,-1,528193,-1,294072,287133,-1,-1,-1,-1,534103,550833,539259,-1,-1,-1,56546,6293,-1,191942,-1,540659,844689,-1,-1,778427,501869,-1,837406,346897,-1,-1,-1,-1,-1,866312,-1,-1,-1,749714,-1,-1,-1,848132,50116,-1,-1,816316,437012,781589,226546,718060,-1,-1,56797,-1,-1,-1,767977,483558,956626,-1,-1,-1,-1,-1,620365,-1,280226,-1,861811,218140,-1,135343,524948,-1,933908,-1,516071,16984,471800,99157,726750,-1,196147,-1,-1,67102,-1,741834,-1,93597,331010,-1,785245,28048,-1,-1,248581,215105,-1,-1,-1,40881,474164,969517,-1,721370,424308,345129,-1,-1,66066,275944,967111,-1,733038,-1,254145,126398,948828,-1,-1,628673,942507,198998,594056,505039,-1,-1,-1,482514,-1,677354,279570,-1,-1,-1,-1,806985,-1,-1,-1,938144,-1,-1,764933,622376,-1,339128,-1,222287,-1,-1,-1,987451,-1,-1,745769,-1,849246,-1,-1,-1,657068,-1,-1,-1,-1,-1,240700,-1,-1,-1,849822,-1,466624,-1,31084,219494,-1,-1,-1,-1,315225,-1,725279,-1,757624,787325,407725,-1,-1,284061,-1,4069,-1,-1,823420,-1,570334,961274,194447,-1,-1,-1,-1,383648,-1,-1,941552,-1,-1,383377,326086,704863,512810,527309,-1,-1,-1,-1,-1,403247,-1,-1,-1,-1,865887,-1,752644,-1,515158,665792,-1,410929,492546,-1,-1,-1,409412,-1,196049,76035,-1,-1,-1,-1,-1,-1,-1,133225,-1,557681,452737,199456,653438,-1,-1,-1,-1,325564,277638,385512,-1,-1,-1,-1,-1,-1,-1,-1,212503,695978,594750,-1,-1,614773,33489,-1,-1,200722,326235,761977,-1,834853,146889,190104,-1,-1,602255,-1,346313,277589,-1,-1,846596,-1,-1,-1,963810,513562,304422,106321,-1,918397,290819,622589,584070,-1,15275,-1,-1,402970,-1,211538,85980,-1,924744,393886,970790,-1,-1,810334,77878,-1,799770,859185,595964,-1,782548,-1,228302,635687,163677,890063,-1,-1,184193,293927,-1,-1,837307,-1,-1,864120,-1,-1,368072,-1,-1,-1,-1,470364,-1,806487,-1,395502,54287,-1,771206,780994,51744,761937,752185,824116,744755,-1,-1,-1,-1,925455,349779,-1,-1,-1,-1,-1,-1,414507,-1,-1,-1,380752,737294,-1,918590,685676,864656,434742,605290,-1,-1,823237,-1,7716,849323,903751,-1,-1,649528,840251,-1,-1,-1,-1,-1,-1,-1,578609,520549,-1,839063,47176,345419,294980,599258,369793,-1,-1,-1,-1,979315,-1,-1,-1,681677,159120,-1,-1,-1,597276,-1,-1,642264,795325,889770,307914,-1,79875,-1,686154,-1,-1,304046,-1,-1,-1,-1,494070,780767,509838,243805,-1,-1,-1,295164,-1,177462,-1,38582,556566,11089,50033,207490,-1,-1,922738,833,-1,-1,-1,-1,-1,686321,179191,-1,-1,-1,156234,393370,-1,453042,-1,90287,341092,-1,-1,-1,679130,-1,-1,-1,734837,394326,-1,-1,-1,-1,445134,142561,-1,-1,842348,983890,948724,-1,-1,150289,-1,791506,884011,342212,-1,713392,-1,490656,792904,838573,283810,-1,289530,-1,-1,803663,65099,766771,-1,163476,983135,-1,-1,-1,121646,516484,849540,487603,-1,-1,-1,107705,729404,893155,-1,796647,-1,507715,-1,769575,880994,-1,-1,690454,-1,-1,-1,792647,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,13363,-1,598537,-1,68933,-1,211624,509989,-1,-1,-1,-1,-1,-1,571537,-1,-1,-1,-1,-1,240326,-1,-1,994423,769301,168814,-1,545341,176197,280997,-1,461022,-1,-1,-1,990922,-1,547355,-1,-1,589965,-1,728375,707458,-1,-1,619196,841731,417444,159170,93322,-1,-1,-1,926216,-1,916121,-1,998486,941213,-1,423795,143114,-1,-1,-1,-1,235816,-1,439610,-1,18010,997511,855916,-1,250961,-1,-1,-1,-1,514441,635287,-1,-1,409376,-1,481598,-1,390608,850640,922965,783089,501922,-1,105042,844465,-1,-1,705209,294846,895469,-1,91458,455239,593118,-1,7961,571671,950327,343519,6154,61911,-1,-1,435063,-1,-1,-1,978691,644962,294875,-1,-1,471498,569221,-1,-1,-1,773995,-1,-1,232205,320156,971395,-1,-1,-1,-1,610008,-1,870131,-1,36564,509059,417366,-1,-1,17713,444203,969264,-1,-1,-1,-1,-1,93343,-1,-1,331179,-1,-1,-1,-1,869224,-1,862466,-1,-1,457825,883671,-1,470553,500948,266633,611632,176101,724506,-1,896594,801868,-1,372036,675635,-1,852554,-1,566362,216296,-1,679329,201455,12694,3037,494659,-1,102099,-1,-1,-1,-1,982799,744731,-1,808236,-1,-1,731589,-1,-1,361364,772932,693095,-1,-1,-1,443790,514499,-1,-1,-1,9928,-1,582376,991922,966772,503510,-1,256242,804363,49967,-1,-1,592372,473459,-1,935740,-1,417092,-1,281367,818968,94335,-1,-1,78846,-1,91200,-1,-1,302277,-1,-1,485717,-1,-1,695739,156613,119522,393799,454032,320726,841730,-1,-1,547279,-1,-1,-1,978728,-1,-1,585729,813929,358661,32438,666287,-1,2682,-1,-1,5147,302806,-1,-1,804563,708774,528964,-1,680750,-1,-1,-1,-1,545817,110580,178660,-1,-1,-1,-1,-1,-1,-1,519236,121627,728751,763345,-1,717582,699196,20902,194115,22902,195919,-1,452492,46030,697787,851060,-1,483483,158889,-1,-1,-1,742139,575801,-1,-1,877977,-1,-1,-1,-1,-1,192215,-1,205009,-1,202430,985874,876284,-1,-1,-1,-1,-1,-1,255969,593054,321659,825734,-1,-1,987601,357114,-1,-1,-1,-1,270758,-1,371949,438022,-1,668732,-1,-1,-1,-1,-1,757748,-1,-1,-1,-1,-1,559093,-1,39898,894846,-1,-1,-1,557739,-1,364757,-1,496584,-1,309620,760442,404608,993315,-1,726072,-1,-1,998734,425935,315453,637754,81237,934759,-1,112776,-1,-1,693103,-1,-1,-1,273892,-1,-1,-1,527934,-1,853277,-1,71001,252444,-1,-1,-1,319213,67378,246561,-1,167733,-1,-1,-1,-1,49880,-1,-1,393090,-1,-1,2757,-1,-1,974429,-1,892186,-1,299873,-1,797699,126917,288246,-1,40892,730661,-1,910544,906254,-1,11546,417993,118875,-1,935501,-1,-1,465906,-1,-1,-1,905507,156261,-1,-1,-1,-1,-1,270811,153580,-1,741522,222976,789658,-1,-1,118913,-1,-1,-1,-1,108347,-1,697372,980771,533828,984895,465385,-1,-1,819271,55456,-1,-1,582005,-1,636851,75869,303672,-1,-1,-1,-1,-1,-1,-1,-1,710902,278447,556023,-1,-1,55236,556188,193206,-1,-1,598060,-1,-1,-1,-1,-1,116329,359787,754273,670900,-1,-1,688831,-1,-1,-1,-1,-1,172457,-1,-1,642627,-1,-1,-1,-1,-1,-1,3601,-1,-1,439377,-1,359203,-1,470675,-1,670217,-1,-1,-1,-1,-1,872018,-1,-1,352440,593495,-1,392417,662415,-1,-1,-1,-1,-1,244650,289586,870055,-1,-1,-1,638779,426820,-1,-1,-1,595692,301844,186036,-1,-1,711091,928739,450233,560117,-1,-1,410080,599256,557348,-1,651614,12417,-1,920651,-1,469860,-1,-1,-1,-1,-1,-1,28273,744468,726151,-1,-1,-1,-1,210060,932010,-1,240810,-1,987647,-1,517837,-1,702574,205346,289857,977160,-1,773371,-1,318009,-1,-1,-1,-1,-1,228648,-1,-1,-1,759494,186532,-1,-1,-1,-1,-1,876468,-1,-1,664324,-1,262517,445110,370954,-1,822208,-1,2743,-1,-1,-1,-1,-1,62918,-1,923954,-1,526800,877278,-1,-1,-1,-1,-1,56714,910479,115795,692366,575215,-1,166209,-1,689301,509469,-1,986391,-1,-1,164583,-1,745827,-1,-1,-1,-1,-1,223513,-1,896076,-1,909770,-1,101755,110776,-1,-1,823086,-1,-1,497318,845280,363303,-1,14206,-1,299890,-1,531085,118888,-1,-1,-1,559496,-1,-1,-1,-1,493719,226509,799816,-1,-1,-1,-1,858538,50823,-1,363957,-1,597706,-1,-1,604099,403658,-1,100620,-1,960126,-1,61444,-1,85194,850268,-1,805972,542129,-1,-1,-1,443948,717170,120304,-1,318636,-1,-1,-1,-1,-1,571708,-1,-1,817974,-1,655983,720855,409221,151063,-1,-1,881974,-1,913908,311413,-1,-1,560463,70983,-1,981434,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,62505,-1,946415,494444,-1,493149,-1,395961,-1,543925,-1,985365,113170,-1,-1,-1,709294,436881,800006,-1,-1,-1,221069,-1,223208,227780,-1,152991,799482,-1,232930,667295,389687,463620,-1,-1,-1,817767,-1,-1,86027,425742,48139,-1,-1,863898,-1,784949,625006,-1,-1,471722,-1,26031,-1,174229,901715,621435,-1,703014,-1,-1,-1,357116,284643,629421,-1,928649,-1,396217,915778,-1,-1,137402,514885,451357,294487,-1,756357,922519,65479,244403,-1,-1,-1,-1,114136,-1,-1,-1,311407,209791,769791,-1,550950,-1,-1,-1,-1,917834,560299,358850,-1,296943,-1,217698,265266,771356,25230,-1,-1,585645,-1,828969,238757,-1,-1,691794,-1,-1,-1,793696,-1,-1,-1,-1,-1,21158,358076,771047,-1,97641,-1,110387,180923,197815,-1,745868,-1,-1,-1,-1,245880,-1,918352,-1,-1,-1,446567,-1,458649,-1,834349,568403,-1,-1,-1,966301,-1,263284,666038,-1,36407,421940,-1,605163,-1,939048,144629,-1,-1,-1,-1,715285,-1,749242,603511,-1,877171,433910,-1,703649,494557,-1,275429,40351,-1,-1,62120,58490,-1,440828,513666,-1,618025,-1,25448,-1,974998,991457,718004,657737,-1,-1,446643,932180,-1,-1,-1,-1,-1,351219,75659,-1,754158,402069,-1,340905,955358,-1,-1,643857,79080,291933,-1,492305,17222,-1,-1,352296,631336,41314,240601,-1,330190,-1,374300,441790,821134,840023,-1,-1,-1,-1,978880,174338,-1,-1,891477,151850,458782,-1,60168,789880,293374,-1,321274,-1,-1,792440,-1,459288,780501,456504,269954,-1,-1,-1,437558,136133,-1,534665,370678,-1,306779,-1,-1,-1,857768,-1,-1,935245,-1,824602,-1,854842,-1,635231,-1,663387,632171,943565,-1,791159,-1,-1,-1,-1,-1,816239,-1,-1,-1,-1,902236,-1,-1,-1,16350,239804,-1,-1,538637,-1,579383,808847,114846,504896,468642,434011,-1,580607,971234,182712,61721,-1,-1,31199,242310,908593,70691,-1,-1,468337,412647,-1,-1,-1,-1,-1,969485,874991,-1,638407,356376,-1,505140,377174,742144,679859,-1,290230,753251,-1,-1,-1,-1,525622,477064,-1,-1,-1,386277,147397,456928,-1,-1,-1,-1,880460,652460,408605,-1,-1,-1,474275,421815,-1,904164,-1,203410,-1,-1,71351,-1,-1,-1,-1,-1,-1,232164,947872,-1,130099,-1,70324,497077,-1,311256,-1,-1,-1,898618,455911,-1,237013,-1,-1,-1,837018,121331,-1,-1,-1,269945,-1,-1,-1,395054,-1,-1,-1,369251,564135,-1,949943,621992,795388,-1,577016,626526,-1,612849,-1,812636,-1,92994,-1,-1,-1,-1,-1,622901,584823,-1,-1,-1,809081,260576,-1,-1,-1,7259,-1,-1,-1,776124,734499,793187,-1,507024,-1,273070,-1,-1,804151,-1,109337,643464,-1,532151,752913,-1,283764,780866,536312,295570,146464,637913,-1,945691,-1,-1,-1,244416,193614,-1,378172,421013,-1,759169,-1,-1,946936,425552,-1,950196,-1,-1,580934,-1,-1,344303,705749,-1,-1,61935,-1,122177,-1,-1,-1,-1,-1,183187,394900,-1,-1,-1,-1,652132,-1,-1,-1,86754,-1,-1,494364,765744,-1,864747,-1,593953,-1,13598,-1,1054,-1,690686,578865,435742,516407,279518,-1,900326,-1,869595,-1,304782,-1,934589,-1,-1,903165,-1,-1,796916,434611,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,46627,687975,-1,869911,-1,-1,-1,447133,-1,924849,-1,-1,-1,505884,636487,604040,898431,-1,130406,-1,594378,98932,5480,692139,837976,618703,-1,-1,-1,929342,-1,919173,461119,243717,-1,-1,-1,-1,-1,-1,-1,334326,-1,-1,-1,243079,909966,-1,662922,523943,260432,422170,-1,787560,-1,-1,-1,118794,-1,-1,-1,688787,-1,577903,-1,577344,54888,-1,-1,162916,784985,476194,561781,31579,-1,364708,604144,-1,-1,-1,-1,628938,85821,570241,298292,322575,-1,259770,-1,800182,-1,-1,-1,260773,144018,-1,447525,-1,796155,872535,615856,-1,116091,-1,935513,34072,777886,792548,-1,-1,-1,544864,130283,-1,-1,-1,333029,574955,-1,981991,532476,626427,-1,-1,610296,316897,120478,-1,944616,878039,-1,46621,-1,63328,-1,67517,857363,592720,816136,-1,170352,733763,-1,253413,-1,68471,579839,-1,-1,-1,-1,135540,281120,659655,812389,-1,909035,504766,-1,-1,827015,-1,275739,241809,-1,519489,-1,751929,-1,510048,-1,488566,894683,383204,578475,790532,846557,-1,941455,-1,246265,-1,970706,-1,597232,-1,554161,122767,16447,528270,685857,614477,362423,290676,355826,499344,-1,201354,-1,-1,-1,-1,441974,-1,-1,379584,-1,831910,96503,508601,700435,995292,183637,-1,-1,616309,725958,204450,530006,184477,629068,904383,-1,705731,561207,-1,325413,790024,193560,606974,59080,912101,605182,-1,-1,317626,-1,-1,-1,279136,-1,-1,437118,504293,234406,-1,610986,601491,-1,-1,640968,-1,340694,846967,857310,-1,384757,-1,942739,-1,582957,569163,-1,-1,509396,-1,-1,-1,855538,606527,-1,-1,-1,339837,430695,-1,-1,322917,-1,-1,-1,42125,159065,-1,263051,732792,-1,-1,-1,313562,560827,883340,683640,553403,242778,-1,-1,-1,-1,-1,620878,-1,-1,418054,-1,-1,77027,992155,-1,621397,245677,-1,660799,-1,-1,726949,-1,-1,742684,-1,210661,364570,-1,878264,376394,-1,-1,869479,-1,855240,-1,95519,331528,453000,-1,-1,-1,-1,565332,-1,964001,358067,853962,-1,149550,47397,26281,897275,-1,174922,665368,363560,-1,6000,15703,482257,-1,-1,554435,439704,606027,548019,504849,933912,-1,-1,-1,714126,-1,826894,-1,-1,-1,-1,-1,-1,305104,25916,72078,-1,-1,-1,-1,220169,-1,-1,397803,-1,-1,-1,323842,318222,138754,-1,194936,420611,847125,-1,217387,115580,85274,-1,857037,9131,-1,590503,336329,-1,810764,356027,620407,932735,-1,-1,780046,386758,324189,140538,-1,-1,-1,257406,-1,235773,952661,-1,49562,-1,-1,-1,-1,927911,435454,-1,377109,-1,-1,181644,-1,-1,-1,-1,-1,612108,767477,-1,83494,-1,-1,-1,134626,-1,661768,-1,-1,-1,-1,157829,-1,-1,-1,-1,970199,-1,-1,893098,-1,282637,-1,-1,-1,237269,30253,-1,462610,-1,-1,199753,129132,453328,599979,334074,-1,738419,-1,99697,344518,269553,182931,342847,414212,49968,335895,-1,633522,872228,-1,-1,931974,-1,-1,-1,422503,225586,-1,417585,743034,808351,-1,834063,-1,-1,35303,803990,-1,-1,-1,318211,560225,349462,-1,516409,651415,846713,-1,-1,48184,857698,823148,804623,-1,-1,976822,807890,-1,-1,484799,222948,574590,455462,-1,-1,-1,688708,-1,-1,-1,-1,105628,733343,-1,170314,640008,-1,-1,814885,-1,-1,-1,-1,-1,817875,589236,365251,162231,-1,322892,-1,-1,-1,-1,-1,138177,-1,518019,66905,438080,-1,-1,-1,-1,838370,-1,810765,-1,728910,-1,371421,-1,-1,-1,-1,935168,-1,-1,-1,-1,-1,174033,119649,235567,-1,448678,-1,-1,862878,84060,84926,993978,-1,696893,196355,362328,512238,375310,823784,-1,775788,414428,927593,984648,-1,-1,-1,285534,-1,-1,881013,-1,-1,240425,-1,-1,182381,-1,-1,-1,-1,830952,-1,-1,75576,-1,-1,-1,250749,-1,12429,-1,338416,-1,837850,267692,506981,-1,-1,-1,-1,840592,-1,-1,-1,365484,-1,-1,38911,960251,137657,4922,-1,-1,-1,692382,493219,-1,-1,-1,287168,21306,920069,-1,810381,445043,400458,200184,-1,-1,481448,-1,-1,819162,-1,-1,-1,-1,-1,-1,-1,717807,486154,731551,954355,256485,284973,403256,-1,-1,-1,350842,-1,878400,-1,-1,-1,550618,760249,318985,-1,937440,-1,-1,782678,663988,-1,34051,967279,814336,805139,-1,494451,178500,-1,793006,-1,-1,175095,-1,825776,-1,772382,328475,862875,757889,805719,258863,106722,196087,816284,-1,-1,989716,409141,-1,-1,955524,34186,127105,-1,234398,-1,-1,955428,465835,-1,-1,572091,760828,171378,349665,-1,955946,-1,269117,-1,-1,-1,-1,752517,575266,-1,996967,-1,268929,195533,113910,-1,527041,74737,251120,-1,199576,670517,-1,934902,-1,-1,663322,-1,-1,-1,729564,290184,-1,88768,642219,-1,534820,641498,-1,-1,-1,539284,-1,767953,-1,507893,-1,-1,-1,138931,-1,460574,-1,412714,584971,655177,-1,-1,198425,576780,-1,343818,848116,-1,336929,-1,-1,-1,-1,-1,498353,-1,-1,343879,45692,-1,-1,589641,902576,-1,518810,-1,648645,37505,928332,69016,871805,-1,-1,908638,-1,-1,303257,687908,793885,-1,-1,-1,-1,-1,593760,-1,79197,-1,80154,684995,-1,-1,-1,669602,-1,-1,-1,-1,-1,720690,-1,-1,-1,450986,-1,-1,-1,-1,842715,198111,-1,32891,42324,-1,-1,-1,957436,336617,483763,791436,-1,203247,-1,-1,327226,-1,-1,-1,-1,598680,-1,58307,918305,-1,653390,502101,289024,-1,-1,412283,827510,-1,-1,-1,252323,149370,358588,402275,-1,-1,661800,-1,-1,-1,-1,690705,83510,683144,57301,-1,776808,-1,-1,-1,472463,524767,-1,-1,275988,53787,440990,902047,-1,388036,797592,-1,-1,559030,-1,-1,-1,479101,792039,-1,-1,982726,-1,590348,-1,572448,-1,-1,553795,129863,-1,-1,-1,-1,709564,611380,383686,-1,38054,-1,917046,-1,807574,455454,187343,41134,79156,694098,151900,-1,730594,341923,-1,690990,-1,74695,-1,-1,-1,-1,541673,-1,-1,-1,-1,-1,-1,144653,978856,354592,-1,-1,538598,806670,-1,820146,-1,378555,-1,637150,-1,-1,-1,-1,716942,-1,164060,617027,162249,-1,32389,-1,813823,-1,38500,-1,390411,148856,160796,883927,-1,-1,-1,235998,636145,948247,-1,842387,477774,681578,170779,313521,355419,226491,386204,-1,-1,599932,-1,-1,277673,-1,-1,333847,567106,-1,-1,118647,-1,-1,-1,25416,688927,-1,20135,686999,-1,-1,-1,701356,-1,-1,682031,316400,510784,-1,-1,992731,-1,-1,448673,-1,-1,39135,408924,-1,132045,840573,358918,-1,122007,478465,-1,836746,605554,571788,934726,-1,821459,454833,21957,-1,291238,604658,457837,710770,-1,610690,634785,502376,921126,878411,923171,277848,547671,669122,220754,-1,895938,-1,288620,-1,-1,817465,-1,576237,134976,-1,241402,-1,904665,-1,840163,-1,-1,81516,179185,-1,807508,362671,-1,-1,323158,408456,-1,635833,-1,-1,154668,361109,-1,845033,-1,-1,27045,932778,-1,-1,175807,-1,-1,228899,985729,-1,-1,-1,-1,893526,-1,-1,-1,-1,-1,278886,-1,967294,197931,-1,324533,54369,344308,189803,735996,-1,119788,-1,34094,-1,-1,-1,-1,-1,48647,599891,-1,-1,252894,-1,79127,-1,95224,750885,-1,555108,-1,-1,-1,488309,148986,981209,548806,-1,-1,422085,998907,474250,326718,-1,687452,-1,948937,337587,372875,-1,297022,793618,385153,-1,954191,-1,-1,159045,49213,529620,-1,792661,799149,939923,-1,529929,-1,-1,40601,-1,184946,-1,-1,145168,41421,-1,26213,-1,796834,-1,101109,-1,-1,-1,-1,-1,720630,-1,116847,241249,-1,-1,-1,246977,5326,-1,549611,228875,-1,316010,604366,-1,380041,-1,-1,-1,-1,333899,-1,-1,270007,-1,490633,-1,590167,571007,-1,59099,686561,-1,382772,-1,-1,396982,-1,-1,200804,-1,166710,-1,497910,-1,291168,795626,-1,-1,-1,797153,-1,108123,476978,-1,-1,511904,950212,-1,152529,-1,-1,-1,663063,722843,-1,-1,239546,-1,30587,-1,217407,220190,-1,378017,441857,598226,833899,-1,-1,-1,-1,29950,-1,226242,73009,252545,925308,134113,-1,657796,972048,-1,596122,-1,729506,-1,944852,768700,-1,-1,4508,-1,-1,72676,822164,190820,-1,-1,650182,548411,213585,245408,477310,788779,-1,-1,349124,224693,-1,396315,953340,785868,-1,-1,200412,-1,639477,15140,-1,-1,-1,82829,973764,-1,975220,-1,-1,608952,812125,-1,-1,759436,-1,-1,-1,828990,586583,532963,142305,-1,-1,910642,-1,203046,587249,-1,-1,255788,168696,774658,616775,-1,-1,28486,-1,-1,-1,716484,-1,139392,-1,-1,-1,599104,-1,950939,682724,405781,-1,-1,-1,-1,-1,897883,710010,-1,132259,-1,-1,456764,811560,-1,-1,-1,15307,27603,-1,601590,-1,545973,523843,685236,683858,930880,-1,-1,-1,221759,-1,22644,-1,175933,557822,180768,-1,-1,-1,548404,616296,302807,444658,152889,-1,176504,583693,-1,571135,184482,-1,289850,287031,-1,-1,-1,-1,-1,-1,-1,802067,354465,328140,286664,581342,-1,20989,838013,-1,-1,-1,601842,950126,521168,-1,-1,-1,614330,163534,869334,-1,273078,62443,266630,-1,55365,967812,468615,202435,359520,376656,-1,-1,-1,-1,-1,356165,-1,547406,-1,403184,364762,481421,-1,8004,16277,139767,-1,-1,145206,220847,738002,-1,352445,-1,116296,-1,-1,-1,37229,702984,221720,532006,499127,-1,938897,-1,433920,351530,245382,55165,-1,978072,-1,970264,506236,917176,7295,866965,-1,-1,411137,698800,433505,678928,-1,604501,-1,-1,970568,253113,-1,852016,-1,-1,243333,-1,78016,-1,-1,-1,-1,127110,710025,386324,775542,-1,-1,551365,838375,204657,-1,548784,-1,-1,-1,62090,-1,200159,-1,-1,963363,-1,771674,68848,-1,-1,-1,-1,455749,531417,-1,-1,99573,-1,173666,122888,120613,-1,678279,890410,315516,-1,848573,201861,708543,-1,690410,-1,-1,-1,-1,-1,926976,-1,379981,925103,-1,-1,314529,392130,725430,761891,-1,-1,316699,-1,430488,105746,-1,-1,244027,-1,658115,467416,-1,-1,383710,714313,718165,-1,114990,-1,-1,-1,-1,-1,105936,-1,162244,427316,-1,-1,107135,-1,-1,-1,-1,909322,-1,103170,-1,164485,-1,-1,861690,-1,-1,-1,-1,-1,-1,-1,-1,-1,741135,-1,497472,-1,-1,-1,992457,643814,-1,225663,-1,245048,248597,-1,702282,-1,662254,613275,-1,-1,-1,-1,159313,353435,192938,20444,820159,772775,90347,542642,276201,812758,791388,112987,-1,306229,713249,-1,-1,552549,630879,362681,-1,239127,188757,-1,804264,-1,-1,-1,566625,-1,839134,68777,-1,-1,-1,-1,406252,-1,731256,862459,-1,159024,-1,-1,-1,807308,-1,-1,-1,-1,402247,-1,913048,561421,122797,124306,221208,259896,294959,358342,238307,459758,430444,877321,-1,-1,983601,750875,694342,4013,-1,609651,-1,604472,458401,463473,370617,-1,-1,898841,76883,-1,380612,-1,-1,-1,111530,446748,452719,379191,383263,706541,283585,-1,-1,-1,-1,992636,-1,834455,-1,-1,-1,-1,421987,748366,450275,882972,-1,765693,877505,406943,-1,-1,-1,613706,-1,-1,-1,-1,846769,-1,881338,882093,-1,87462,-1,575930,-1,-1,601420,-1,413639,845861,-1,-1,594624,-1,-1,998001,192238,409563,648179,337713,30180,914800,-1,92496,-1,361997,-1,-1,-1,-1,-1,-1,-1,586375,326964,888495,751263,654783,-1,-1,90586,-1,43840,-1,589413,637258,615947,984932,782540,173012,377891,121347,-1,-1,737669,-1,49502,-1,49469,-1,921874,-1,424048,-1,-1,336224,-1,525389,395343,628307,512087,-1,-1,139247,395250,-1,-1,-1,896716,-1,717720,-1,-1,-1,180353,38780,827467,844498,-1,503036,-1,-1,946473,-1,566500,929088,923687,-1,-1,-1,784395,-1,-1,-1,626852,615552,-1,9982,662601,-1,514250,281443,458109,-1,848942,133953,979863,136576,-1,696698,-1,345357,-1,535890,-1,-1,-1,604645,-1,-1,-1,992534,566100,684208,-1,411869,-1,-1,-1,-1,-1,-1,682596,371978,-1,393058,934018,-1,900304,-1,-1,-1,425183,254551,-1,329735,-1,-1,-1,587832,561197,-1,-1,-1,-1,-1,-1,282336,10744,549683,-1,506958,556770,-1,-1,228828,676115,-1,958801,816420,-1,472196,-1,-1,-1,510930,-1,956965,-1,-1,880685,-1,-1,-1,204734,-1,635378,-1,681591,686644,-1,816423,649565,794091,-1,695889,-1,576556,649090,816140,-1,-1,495634,-1,49624,115058,-1,627917,737038,33427,-1,242902,692350,-1,346859,568518,924886,-1,-1,-1,782283,-1,19286,903140,74292,-1,668641,258538,710823,-1,-1,756048,685771,-1,948115,515885,-1,-1,288532,741462,-1,766952,-1,886470,217340,640454,-1,218330,-1,221591,-1,557528,-1,470035,-1,461744,962098,-1,128257,421877,408485,-1,559475,-1,-1,-1,-1,966757,667486,-1,221029,223512,-1,554595,494569,-1,834906,-1,-1,599993,75409,560361,-1,-1,-1,984581,687396,-1,-1,284280,-1,393279,808760,-1,718166,-1,-1,438550,761446,-1,83162,-1,-1,163768,-1,496231,-1,-1,174272,-1,-1,527681,107418,-1,-1,-1,-1,-1,-1,898560,649068,-1,-1,-1,373294,-1,744140,-1,990125,-1,374795,927883,349156,-1,3299,-1,516567,836055,539435,61546,-1,167267,764010,916488,-1,263419,-1,806052,117447,852594,-1,150525,-1,242757,-1,-1,553760,-1,-1,241529,738512,-1,798375,213093,-1,49773,114884,-1,-1,-1,805442,399831,994359,624495,840792,339462,3485,-1,-1,-1,535234,856883,47667,-1,987128,208715,-1,712716,-1,770805,-1,-1,-1,588553,-1,-1,832405,-1,-1,-1,210926,935785,227893,515217,-1,-1,546989,458637,-1,-1,539871,-1,-1,71378,500005,-1,829035,543539,685468,28351,-1,452536,652627,300911,-1,932647,823217,361856,-1,-1,-1,-1,-1,-1,-1,-1,511391,677910,-1,584784,-1,-1,69366,-1,-1,504248,-1,-1,563025,-1,-1,819849,-1,-1,758077,-1,548434,808470,385301,-1,-1,892437,285454,-1,910293,-1,-1,-1,459089,470273,644686,865056,-1,-1,699917,929769,335631,98722,595909,-1,-1,-1,-1,-1,333152,-1,311165,877413,-1,637120,940682,-1,-1,981021,235499,-1,378340,586373,-1,-1,-1,242761,-1,-1,-1,-1,-1,238849,-1,-1,-1,248199,-1,-1,-1,316105,-1,-1,-1,-1,431793,97154,157397,-1,729878,-1,-1,-1,242498,-1,-1,-1,19155,411166,-1,765967,-1,-1,-1,-1,-1,-1,263678,-1,-1,-1,-1,-1,878675,243167,599367,-1,311812,488125,858521,248505,540333,-1,-1,834312,463087,44901,330973,-1,154016,-1,139727,-1,602796,-1,-1,-1,905491,-1,-1,151763,56216,779918,-1,-1,-1,102721,-1,391011,-1,820168,-1,998323,62319,-1,-1,-1,650144,-1,101817,-1,996870,860942,760335,949646,606634,788123,-1,17697,812805,-1,-1,-1,-1,382754,-1,706931,492954,9126,-1,-1,-1,-1,742977,-1,130495,-1,-1,63931,-1,2026,-1,796956,-1,148795,913574,698631,450652,557478,245767,-1,-1,978996,877337,55680,-1,-1,600768,-1,-1,-1,339198,882061,-1,-1,-1,873374,811326,-1,-1,-1,366190,811661,180446,-1,-1,-1,337555,-1,-1,341255,672161,-1,186949,-1,913349,509561,-1,-1,279188,432072,-1,-1,-1,595733,-1,687253,151737,854598,797905,622843,-1,-1,705695,-1,-1,631714,-1,-1,-1,-1,158157,101645,230170,-1,777725,920661,10210,765100,-1,617262,-1,-1,892438,-1,220006,496751,-1,-1,-1,-1,-1,-1,-1,525502,-1,-1,427637,-1,-1,337399,811907,-1,26916,809051,-1,304457,-1,-1,922931,633507,586329,943696,-1,630243,748295,-1,790601,335620,171528,-1,744865,595427,441866,796192,-1,495606,-1,-1,327075,41293,56169,930549,-1,487010,30338,969693,-1,672376,-1,849272,673994,-1,84048,-1,-1,485818,873942,933173,247937,85353,-1,444162,5931,651973,-1,278573,544719,-1,232431,324523,-1,95040,-1,-1,-1,467939,-1,428726,943329,-1,835519,-1,-1,342656,-1,-1,-1,914916,774417,-1,591805,-1,246138,853716,-1,378043,444462,-1,-1,-1,-1,-1,405329,300189,-1,66725,85046,-1,-1,310939,120507,613370,965177,560742,-1,890642,872100,-1,-1,362351,38837,-1,-1,-1,-1,80807,839197,231437,340560,742562,812272,919739,-1,-1,796532,-1,-1,381915,828782,430263,-1,352016,-1,304830,-1,220140,-1,-1,443986,420795,-1,-1,570060,251839,-1,227128,-1,541070,-1,-1,210889,306179,451314,-1,-1,698646,505567,-1,-1,-1,-1,-1,-1,-1,559317,-1,346850,-1,-1,-1,-1,37110,148141,-1,769495,-1,-1,806365,347330,-1,-1,931834,344502,967787,-1,-1,337423,-1,296401,372182,-1,504348,168436,-1,896589,323809,-1,-1,954760,-1,353210,648365,608969,-1,-1,461043,236252,-1,412790,-1,45278,-1,696278,515105,70248,-1,314626,876329,951805,156470,177926,-1,204862,845474,864570,-1,271651,743128,883835,248429,-1,-1,242612,425911,-1,-1,973233,53343,43607,-1,239009,-1,-1,587886,-1,-1,441337,-1,9419,-1,255971,-1,808983,817484,165953,-1,-1,-1,280292,985504,-1,104473,828663,-1,-1,284420,1093,-1,-1,-1,-1,280721,508543,872057,-1,348899,95757,-1,-1,-1,830074,-1,75758,318605,173412,149156,-1,-1,-1,-1,-1,116134,-1,-1,995924,343547,-1,774257,539561,-1,718885,-1,51643,-1,-1,519946,872719,424003,706122,-1,633900,-1,-1,-1,-1,628776,-1,-1,-1,841078,821545,-1,-1,634732,77952,78809,355597,-1,-1,-1,-1,267442,-1,447696,-1,998087,880791,999649,881046,-1,75124,-1,503323,475016,42394,-1,842010,233502,-1,-1,318802,-1,56227,44006,-1,147227,367363,890733,-1,634113,-1,877985,-1,-1,65342,991271,685706,882567,235003,-1,305847,-1,377543,185614,-1,543237,-1,-1,-1,-1,-1,-1,-1,100636,-1,818567,-1,-1,-1,406847,960975,-1,-1,70299,881336,501746,979899,-1,-1,-1,-1,235593,-1,-1,589099,-1,-1,40779,768477,-1,-1,503744,297458,538230,648496,264360,-1,494454,-1,959450,757864,-1,-1,762784,781439,-1,-1,-1,-1,710115,930894,959600,-1,-1,-1,-1,-1,-1,-1,647901,24107,543393,-1,-1,529195,-1,840675,292507,-1,-1,-1,-1,962912,-1,89974,-1,702584,-1,-1,277227,542816,677058,-1,65238,-1,-1,326618,-1,-1,-1,579324,-1,-1,719592,627435,-1,-1,-1,-1,-1,-1,-1,374343,-1,-1,408227,464933,-1,-1,-1,691753,-1,874837,770422,667715,-1,384945,257335,421861,922314,282948,-1,655542,-1,393471,55687,497992,-1,221372,-1,9798,-1,-1,-1,-1,807300,274626,-1,622681,-1,39265,-1,507121,959791,446113,-1,748488,232891,864153,-1,260672,-1,-1,-1,-1,-1,160430,-1,-1,502518,197655,916365,466510,-1,270160,121869,-1,73235,-1,-1,647011,-1,-1,390110,928188,976610,-1,629009,432596,-1,-1,-1,463580,928934,395691,-1,-1,830165,-1,-1,-1,-1,-1,464471,-1,318233,97,-1,569626,614051,682017,512203,-1,-1,729065,-1,373867,299415,742282,-1,-1,365440,85544,-1,-1,515583,948918,-1,115743,406122,-1,906223,252375,919900,404627,-1,-1,321950,582421,-1,-1,-1,535199,-1,654039,30848,-1,168218,-1,-1,548005,-1,614083,259835,745397,190779,908771,651808,-1,647898,-1,-1,688366,-1,758997,-1,954823,241414,27478,-1,-1,-1,465622,-1,-1,-1,647461,688007,-1,535524,-1,465295,-1,-1,40402,802905,-1,-1,979850,-1,-1,595449,-1,-1,-1,-1,-1,866254,-1,-1,-1,471164,-1,726318,-1,-1,-1,-1,230744,95994,876492,847744,-1,607781,-1,-1,476864,941406,-1,-1,598778,458046,431241,-1,-1,-1,527850,675604,38120,573926,963763,-1,-1,-1,-1,-1,969841,407818,372115,-1,158,-1,-1,-1,-1,762735,-1,-1,96304,375616,20433,-1,581729,-1,849085,455949,453759,-1,-1,299862,776627,-1,873197,-1,-1,608807,902508,-1,-1,-1,-1,584571,53338,-1,-1,-1,454344,-1,-1,-1,484257,172887,-1,784415,-1,-1,-1,718006,271206,-1,978531,-1,767399,-1,-1,119204,-1,902721,-1,-1,951461,-1,679516,308987,-1,-1,389786,-1,-1,-1,-1,483670,-1,-1,-1,-1,776817,903593,-1,-1,-1,612171,-1,511490,-1,953646,-1,860878,-1,-1,640664,401458,148078,514522,-1,49087,-1,507329,582916,-1,-1,-1,-1,955890,-1,-1,-1,-1,-1,-1,497641,-1,-1,407878,461857,-1,559446,-1,279157,239871,52887,79585,637835,-1,-1,-1,-1,970413,364760,-1,897205,-1,754490,-1,86628,-1,551380,-1,-1,-1,-1,-1,-1,-1,127344,438238,-1,940263,841828,-1,-1,788534,779245,-1,-1,-1,-1,-1,-1,-1,-1,372379,-1,-1,127069,504289,-1,-1,973158,880842,403793,-1,-1,6394,-1,290399,693413,206543,-1,-1,975674,-1,-1,948440,-1,-1,-1,512805,-1,-1,-1,750665,-1,460539,-1,324191,-1,983200,-1,874773,-1,266534,-1,-1,240974,619017,-1,-1,988791,-1,98528,152727,-1,183512,603579,-1,-1,-1,-1,696830,-1,751329,-1,-1,285639,506068,630869,799480,706569,-1,-1,873205,-1,-1,-1,134997,775755,-1,307278,-1,173790,69637,-1,935409,145986,-1,127136,766847,69813,383845,-1,-1,-1,671605,105494,963780,162028,-1,847024,-1,-1,939873,410822,-1,-1,127065,-1,-1,941039,431797,270669,-1,57892,-1,-1,906569,807376,696285,-1,852654,716390,364690,487076,-1,-1,11287,-1,-1,-1,-1,613194,150281,525091,-1,-1,-1,197049,243385,-1,558381,956654,643349,-1,366000,-1,-1,-1,954303,988019,857796,613592,-1,-1,991078,475937,516864,-1,934042,-1,-1,748722,981305,813885,865272,417139,327933,-1,-1,660844,-1,-1,-1,-1,-1,-1,582258,-1,-1,835586,-1,490581,451460,-1,663426,-1,-1,-1,459704,54123,823435,-1,338523,-1,458568,-1,-1,454486,239380,188329,954668,195049,872335,-1,50619,234999,-1,8935,-1,-1,-1,-1,481234,395368,848098,78585,-1,743874,-1,-1,845770,-1,349633,474139,-1,650788,-1,-1,-1,589170,841480,172060,-1,987825,351086,822109,120251,413125,-1,586007,-1,427716,511190,-1,977205,257366,-1,241912,788325,-1,-1,-1,909284,-1,175921,73856,-1,-1,-1,344357,-1,904527,53762,895274,1524,-1,-1,213266,-1,-1,548676,238927,15745,179414,-1,-1,-1,-1,-1,-1,654747,665069,601372,590512,-1,584403,-1,-1,-1,-1,841618,-1,-1,-1,-1,-1,246210,410602,-1,594775,407961,-1,-1,-1,-1,396117,-1,327618,278413,-1,-1,-1,824840,-1,948596,14151,512543,-1,110871,-1,-1,381825,778749,-1,-1,-1,338953,911633,861733,-1,477837,-1,-1,-1,459807,67558,-1,-1,109795,-1,-1,-1,481150,-1,877000,-1,320979,-1,-1,895692,-1,-1,-1,-1,661820,149751,640205,61543,-1,-1,-1,-1,704892,-1,406569,251594,-1,975945,752496,-1,678416,271541,-1,-1,139146,230099,-1,238170,-1,273909,821148,-1,-1,31348,637123,-1,-1,284199,-1,-1,581649,568530,-1,-1,11715,474239,-1,-1,-1,-1,-1,-1,365295,-1,-1,-1,-1,-1,810092,632699,-1,275634,-1,542716,-1,-1,-1,329418,-1,-1,-1,-1,-1,-1,-1,-1,61023,345685,901874,914543,-1,863069,-1,-1,504879,-1,523665,600244,-1,779803,171243,501495,-1,529731,538662,474315,-1,153132,87083,-1,93998,330604,-1,-1,-1,188704,-1,567296,-1,-1,-1,-1,-1,114227,579436,935242,-1,-1,906907,722516,428338,-1,-1,298698,974255,981360,-1,-1,612972,-1,988310,-1,-1,489160,-1,604963,-1,-1,640412,-1,123408,-1,-1,-1,280545,607645,-1,447662,-1,-1,267098,44307,5162,302769,904125,358580,202381,972752,383102,-1,318499,132787,377815,626023,-1,571658,138268,-1,-1,-1,835746,165751,-1,444538,325109,-1,-1,383562,766857,-1,719166,991025,-1,823524,542190,-1,-1,547151,535955,396138,-1,-1,220538,946800,-1,609244,810008,-1,-1,-1,-1,338846,852294,-1,-1,583225,-1,-1,976094,-1,-1,-1,-1,-1,-1,-1,-1,825647,-1,130097,-1,76536,405328,741577,736727,415404,-1,560607,-1,710570,-1,433700,-1,-1,870970,219558,-1,276729,-1,-1,78127,-1,243200,629760,-1,77031,254896,-1,548466,855759,545850,929105,-1,-1,527876,-1,830063,396488,800195,-1,467325,-1,822367,-1,-1,-1,255368,169177,857601,317984,758682,-1,-1,-1,-1,-1,972306,606766,-1,77048,244080,-1,735797,931156,-1,-1,202249,-1,876620,-1,-1,-1,-1,886554,657500,22627,820957,476553,534276,825485,633399,133477,-1,-1,670650,206167,908540,480521,-1,279453,-1,-1,87091,739437,235415,-1,-1,392561,477503,-1,-1,-1,-1,-1,769805,-1,-1,-1,-1,-1,-1,-1,-1,63064,293322,-1,-1,459564,-1,482691,246528,-1,307915,787459,-1,414960,819602,472815,-1,632952,456288,261200,656043,275418,650149,310685,894619,-1,919877,147572,419603,-1,-1,-1,-1,314740,-1,-1,695174,72619,206900,-1,-1,-1,723292,211831,44196,149211,-1,-1,270124,-1,260445,261196,974068,795008,-1,-1,389665,-1,-1,624015,-1,507603,656565,951292,653825,-1,-1,-1,-1,150154,-1,438789,649993,74409,-1,-1,357036,-1,860772,796732,793888,499349,-1,651521,150802,966403,932765,12445,723429,776646,-1,59396,995495,390126,28700,386713,545950,87645,999473,-1,607789,-1,537247,239020,-1,-1,-1,-1,-1,-1,-1,-1,186516,956225,158432,638594,33855,847098,895655,7630,624469,177126,-1,-1,-1,92057,274294,143082,140597,-1,117318,472983,586837,880318,-1,-1,-1,854449,-1,-1,548138,877528,-1,-1,-1,86362,68477,308145,-1,-1,-1,387858,330697,153619,205999,-1,396828,-1,-1,751981,-1,815799,853603,-1,370453,732625,313221,334888,-1,-1,-1,643236,-1,-1,-1,852225,-1,577209,-1,817006,-1,-1,13702,-1,-1,-1,33121,851182,388959,531138,344638,-1,187804,201732,976739,-1,-1,-1,-1,-1,368845,893816,345922,-1,-1,472789,-1,250999,-1,263453,-1,-1,644864,-1,298241,237069,299920,912730,-1,465696,-1,764727,184822,515530,-1,-1,-1,-1,90180,-1,-1,392094,221311,781590,-1,-1,-1,476088,-1,948006,108705,596697,-1,-1,-1,362030,220445,281287,-1,-1,-1,920143,-1,-1,-1,-1,411083,-1,838874,745064,-1,492903,-1,758500,939685,944614,460280,77159,-1,-1,547078,611115,-1,299011,-1,339863,390128,559591,-1,-1,-1,937848,410547,992835,959365,966632,-1,-1,-1,683199,141589,196757,426747,117837,-1,562572,-1,-1,493058,655480,-1,-1,279681,-1,144913,641834,284961,644581,371907,869997,996450,147281,-1,-1,-1,139843,945573,-1,112497,827998,817266,910013,-1,-1,499830,-1,-1,-1,212671,-1,314416,-1,-1,922831,-1,-1,-1,89113,887070,41285,-1,187203,845330,-1,172920,-1,430530,891120,-1,346655,-1,-1,367076,473962,918167,-1,309481,531975,996207,-1,427862,-1,-1,76057,-1,231450,166041,566766,-1,-1,-1,404716,392168,642927,343387,26797,-1,-1,-1,881813,-1,584981,506169,273218,785632,-1,-1,-1,-1,688308,839586,-1,569845,167432,709733,791394,194887,-1,-1,-1,-1,145220,920667,-1,-1,742322,-1,-1,79643,276342,-1,-1,753911,-1,113237,-1,-1,411023,-1,902332,-1,82531,652080,319894,-1,-1,617143,-1,-1,673536,348039,349558,671532,-1,830064,941145,735822,-1,669912,69641,310704,421710,-1,967041,-1,741089,211630,590036,-1,636568,71891,680101,-1,-1,589753,-1,535270,547847,-1,837654,-1,-1,501650,251425,-1,537996,401684,-1,-1,215590,69121,-1,105643,-1,-1,159182,-1,371973,-1,-1,185263,477910,224543,398263,716775,-1,-1,686696,-1,-1,490893,826179,197968,-1,277661,788980,-1,-1,118018,-1,391151,394703,796973,315722,103547,646189,961377,-1,-1,-1,26163,971445,-1,61600,-1,220414,-1,881108,946431,301022,-1,331893,235209,-1,583183,669292,760361,120424,274380,803924,-1,-1,-1,-1,191239,445310,-1,-1,-1,-1,-1,890232,203898,610203,359704,-1,-1,521976,191111,735693,415723,648461,-1,-1,29424,254943,-1,288859,-1,699558,387834,-1,-1,227806,289414,-1,509360,-1,325861,-1,28621,46338,341139,-1,908160,-1,625761,-1,-1,-1,754350,-1,12885,780980,538262,-1,-1,683306,902687,92984,-1,-1,-1,768353,-1,138909,886920,-1,-1,-1,-1,187271,-1,-1,-1,627524,937438,762983,328363,-1,396878,-1,166278,-1,686197,-1,-1,-1,242828,-1,429643,-1,-1,-1,679302,-1,158919,-1,-1,762954,-1,62437,269575,876037,-1,795973,-1,-1,-1,909339,525588,941392,-1,376036,-1,-1,-1,381701,-1,-1,334551,351233,50042,74838,-1,-1,-1,-1,-1,-1,-1,677790,255483,196124,367000,-1,-1,219104,28871,679481,-1,511139,161644,-1,716307,-1,-1,-1,122737,448604,506338,-1,387372,549646,-1,402901,58305,275841,317602,38820,165808,-1,23837,-1,-1,-1,-1,-1,720581,535894,-1,-1,414811,-1,828522,-1,673384,-1,-1,220116,774256,-1,717564,-1,-1,296113,165331,180532,-1,422958,95748,-1,-1,-1,883994,-1,-1,709043,-1,-1,-1,735359,913433,-1,-1,-1,-1,310946,-1,266532,-1,-1,-1,897378,-1,719407,-1,946582,458127,-1,784713,-1,-1,105990,936716,490373,467287,476895,146893,-1,948706,-1,815265,-1,130743,-1,-1,653770,-1,554857,-1,876500,-1,-1,-1,-1,731700,-1,389916,536385,-1,-1,856283,149958,157448,-1,-1,247192,406885,276914,28565,586486,366154,722956,382799,816221,808298,-1,569564,-1,-1,601909,-1,967807,-1,433070,366030,394968,986806,51794,-1,-1,-1,907385,-1,346815,-1,-1,-1,31540,-1,730622,231282,144374,-1,543948,-1,62720,-1,927547,-1,-1,984547,-1,598560,819235,423301,748327,943863,666056,665868,-1,-1,37934,975201,850136,-1,948926,-1,771295,-1,-1,327667,56848,-1,-1,399909,635645,422012,-1,290623,-1,-1,483204,-1,453110,-1,75072,600166,-1,-1,-1,761344,-1,-1,316610,-1,-1,-1,-1,300363,-1,900075,-1,-1,-1,-1,639551,567741,-1,-1,-1,-1,501741,299716,-1,869372,783085,340630,510228,454492,30593,776432,274056,968923,326848,681501,-1,144938,545156,774933,341243,-1,185817,-1,690800,-1,-1,291267,-1,-1,740828,918159,889043,287054,579197,693760,-1,241250,802944,797400,755607,510135,-1,986447,-1,-1,653844,440003,631594,908117,990645,-1,256273,823743,760724,-1,799506,288194,242076,-1,-1,-1,846171,947063,-1,-1,284494,696270,722988,-1,-1,-1,952377,-1,-1,415513,-1,-1,729289,946546,269319,279579,-1,-1,379274,267889,496601,700988,32475,-1,596996,518110,830329,587003,260959,483477,588880,169020,-1,-1,106200,-1,243494,-1,-1,-1,690474,-1,-1,-1,478607,-1,-1,601924,585450,625960,-1,544173,120201,-1,-1,-1,-1,-1,655557,683891,-1,-1,693303,787583,-1,746924,-1,-1,709849,208237,-1,127089,545964,-1,-1,-1,900743,93909,-1,17061,891077,323282,-1,556370,-1,-1,-1,108447,46650,72536,-1,-1,144712,-1,348392,-1,360270,534288,729794,-1,771,408942,211461,404697,986151,-1,320162,-1,-1,743990,-1,-1,-1,-1,849326,708729,-1,975343,-1,-1,832440,-1,74194,-1,404135,708451,-1,-1,-1,-1,900278,-1,-1,-1,945656,-1,-1,-1,-1,-1,308332,-1,-1,359650,916880,-1,410069,495527,-1,953936,-1,534105,-1,-1,-1,-1,417149,570555,-1,726915,948352,-1,-1,890278,140751,626689,-1,-1,-1,-1,514719,-1,-1,-1,-1,-1,-1,-1,363624,965590,769462,-1,22493,-1,-1,-1,89272,-1,-1,292907,176827,456591,-1,-1,-1,-1,974703,396609,-1,-1,714074,-1,161959,-1,-1,-1,36596,-1,359345,5087,-1,-1,572703,-1,596246,812390,908755,821031,171325,-1,-1,903239,-1,650900,604162,-1,900911,100464,-1,-1,481953,260799,-1,500840,-1,365063,-1,-1,-1,522217,984997,-1,883329,381013,-1,596471,100088,844463,-1,-1,458801,166903,-1,664925,333271,197228,716509,-1,865196,-1,-1,944511,-1,-1,873575,898919,-1,815161,-1,695753,913077,-1,861921,-1,-1,-1,-1,-1,291725,-1,-1,605748,351017,617527,470044,344231,929806,-1,-1,-1,861956,68520,491790,-1,-1,562202,-1,-1,13102,937638,-1,304366,33723,849910,-1,112645,-1,-1,665739,-1,-1,-1,-1,193059,-1,182135,883210,-1,-1,-1,813501,-1,-1,-1,183772,525531,52225,641177,981060,885432,278957,-1,453216,976325,-1,-1,827068,-1,436534,936751,35962,565260,-1,-1,-1,373679,396689,547242,119996,408534,672344,291673,-1,660418,-1,-1,-1,-1,827294,-1,-1,225758,85713,-1,70053,-1,424115,246102,173462,338478,-1,-1,-1,921918,-1,360790,81,-1,-1,-1,366688,-1,-1,-1,-1,-1,365125,819076,145812,966566,464405,398451,-1,906432,-1,742529,-1,-1,836171,-1,969180,18640,-1,-1,-1,772751,15725,992952,-1,647381,-1,727943,-1,363471,953564,576144,-1,949274,130459,-1,919805,448452,89193,-1,-1,-1,-1,874604,354131,-1,-1,22931,-1,-1,811652,-1,756132,-1,209893,-1,907206,-1,116944,-1,64983,10197,347914,-1,-1,-1,962619,193002,-1,248341,484973,792771,-1,425218,313458,-1,-1,-1,-1,462344,-1,411841,966855,-1,-1,702994,-1,973373,238275,429483,632538,-1,205366,-1,557850,282319,-1,647980,57002,787294,-1,-1,-1,99735,-1,-1,54805,-1,133863,-1,-1,397621,328019,-1,-1,-1,-1,-1,329802,347017,678463,-1,-1,895267,919186,889210,-1,953668,728844,-1,-1,999205,745057,-1,713932,-1,225173,688911,-1,627726,-1,-1,-1,-1,-1,122801,-1,819020,-1,271970,-1,452697,355813,93036,-1,-1,-1,194737,-1,830432,-1,-1,49729,500,-1,712292,-1,-1,284159,-1,-1,815780,-1,612539,-1,781998,-1,-1,509309,-1,-1,-1,975560,820200,177226,-1,604052,661770,-1,912201,-1,84654,-1,278718,-1,-1,-1,267109,208032,975512,-1,263115,391072,201171,-1,-1,840898,-1,917488,366557,196873,692655,864667,-1,-1,-1,902932,-1,311564,-1,993450,405554,-1,217691,850017,-1,256795,375210,-1,-1,-1,180249,-1,735465,-1,932453,-1,-1,186758,306316,-1,699258,-1,590244,53372,369820,15394,172691,-1,540382,-1,-1,-1,-1,-1,-1,-1,986703,-1,157050,-1,-1,678966,-1,432201,-1,243587,-1,-1,413846,808835,-1,-1,-1,-1,-1,865780,-1,-1,-1,626286,135183,956797,-1,-1,-1,-1,-1,-1,-1,-1,714559,388389,246085,-1,-1,-1,976246,433556,713092,-1,-1,-1,-1,906259,-1,-1,-1,862546,-1,-1,-1,-1,251554,-1,52370,-1,-1,928945,-1,-1,983880,-1,411868,-1,482843,-1,433221,-1,-1,-1,721964,640552,698108,-1,581641,-1,-1,330304,-1,64695,143587,-1,866244,625572,161627,-1,180083,-1,-1,-1,-1,910913,337728,610572,-1,-1,-1,-1,-1,-1,-1,-1,330530,-1,535599,960298,-1,-1,404439,-1,-1,-1,88761,-1,-1,647952,-1,65548,-1,881001,-1,-1,-1,44732,66310,940723,-1,-1,-1,718093,-1,-1,717633,556174,-1,454202,-1,-1,-1,-1,-1,-1,550024,881387,620517,83384,-1,-1,123947,565189,46257,-1,-1,-1,569350,940089,216197,-1,-1,440053,7643,464455,829446,-1,918626,501889,147844,-1,613216,-1,790138,613716,904391,802213,249352,212275,-1,-1,-1,336883,-1,434949,-1,102883,-1,812556,663173,90462,755745,710530,-1,432307,-1,292866,-1,-1,228389,679125,525080,-1,-1,380533,-1,885933,654295,-1,252495,-1,-1,702971,426716,649643,336699,786387,-1,231802,-1,319111,-1,-1,-1,845599,-1,-1,156110,519545,949112,-1,-1,823828,-1,469669,-1,-1,12855,-1,577554,-1,-1,-1,-1,72754,-1,876152,413158,881975,-1,-1,-1,-1,632285,-1,-1,-1,-1,-1,-1,-1,-1,275722,-1,-1,-1,730787,-1,876416,288840,188480,431053,469797,-1,-1,-1,733231,-1,-1,-1,734197,428839,-1,-1,735178,-1,-1,151662,-1,850975,-1,-1,-1,-1,477611,-1,188844,-1,-1,967846,-1,307215,-1,693118,914302,-1,-1,-1,-1,-1,53703,-1,103701,6863,300294,-1,-1,-1,-1,254628,-1,-1,-1,205620,-1,-1,144872,-1,481251,-1,557560,-1,483743,-1,-1,-1,243875,-1,-1,-1,-1,976914,-1,650662,-1,708994,19056,-1,-1,-1,133261,-1,-1,875305,889349,778219,334756,-1,-1,-1,-1,-1,176804,-1,917494,952137,793099,426071,-1,-1,440910,353060,-1,48216,-1,838057,-1,-1,-1,461866,-1,719783,-1,-1,869608,889929,-1,-1,684242,-1,-1,155694,-1,-1,250831,255277,-1,-1,-1,439882,593978,851020,-1,360358,284333,542256,-1,-1,155120,-1,-1,145774,213821,64083,673214,-1,351235,291996,-1,29401,-1,404785,328688,148122,545118,-1,-1,724272,-1,-1,506718,33399,257426,-1,143670,-1,395277,8606,-1,891219,322414,-1,-1,59986,-1,-1,-1,-1,-1,-1,898909,-1,-1,846875,303519,78314,-1,-1,-1,-1,154811,-1,554565,-1,-1,305115,990953,116824,618537,508433,-1,-1,-1,-1,714699,17294,227523,851738,-1,414187,-1,-1,461658,-1,-1,159385,-1,686099,644409,-1,-1,924049,703018,427225,-1,366089,-1,-1,-1,932689,958567,952649,-1,-1,-1,-1,974526,456470,-1,933835,491997,196109,630057,903068,311518,305529,663981,-1,-1,-1,-1,-1,980490,480795,478548,138046,150076,353975,-1,382545,414003,-1,56383,-1,749168,-1,217588,969984,-1,584575,275609,53927,799440,510727,-1,22282,318801,-1,-1,599650,485070,473848,-1,59762,-1,-1,-1,643207,735204,-1,493097,-1,516736,-1,-1,747288,582265,31392,-1,396069,-1,-1,-1,304874,63049,-1,183582,-1,851797,-1,-1,505915,805523,94081,920737,866207,727879,583357,-1,705611,589172,127521,-1,-1,-1,-1,-1,-1,633560,933824,602138,-1,-1,862610,-1,144180,-1,682326,496344,374693,-1,-1,899308,-1,314,2209,225063,-1,-1,-1,-1,-1,-1,345440,-1,131161,-1,-1,-1,-1,735446,-1,-1,-1,-1,979573,94362,-1,656942,564349,177733,936205,-1,658918,983064,-1,-1,145877,-1,962394,881402,-1,-1,-1,-1,-1,-1,828254,703179,-1,321228,645800,-1,514701,689608,621861,469940,-1,-1,333793,170179,-1,-1,485692,14038,162828,-1,-1,-1,782708,596977,581832,-1,124329,-1,816105,-1,474326,-1,536969,914723,134478,-1,450548,-1,-1,-1,-1,-1,709024,258701,-1,850596,-1,-1,-1,237932,-1,58676,645550,842398,-1,-1,57737,562780,-1,687114,-1,305756,-1,255646,804981,-1,-1,-1,-1,-1,-1,424557,-1,926833,-1,952559,900260,-1,774725,-1,-1,339567,881258,205674,612529,-1,-1,-1,245801,300248,-1,961453,-1,760124,275414,-1,925048,-1,913585,296352,-1,658957,-1,82474,890514,616343,-1,-1,-1,-1,684466,-1,899072,-1,415997,-1,-1,910014,604291,-1,32116,-1,-1,759207,504832,-1,-1,-1,744045,-1,932721,-1,195208,-1,-1,976168,895093,-1,-1,-1,-1,709498,466912,920252,168011,723513,128219,466751,602619,-1,-1,501925,-1,326395,958068,-1,849658,-1,513350,-1,-1,-1,99476,-1,520526,-1,-1,-1,-1,-1,-1,-1,955592,927682,-1,-1,425190,629749,-1,168067,511119,805745,-1,660806,-1,-1,-1,-1,-1,-1,726419,699448,570402,619426,464362,248010,-1,548467,-1,-1,737078,600836,-1,418446,991301,-1,-1,-1,-1,938449,-1,606878,580932,429479,-1,427361,434636,-1,447397,690924,-1,900433,-1,-1,-1,413160,490924,-1,-1,4037,184112,465544,-1,654510,933506,-1,944948,-1,-1,123964,718533,536403,663076,-1,482079,-1,-1,-1,-1,-1,69995,599634,-1,-1,740511,857409,-1,-1,-1,-1,609237,-1,-1,-1,-1,427337,-1,325263,1229,573798,445488,714969,-1,-1,-1,44627,218856,628634,63401,86637,207646,491865,-1,85433,-1,-1,389390,-1,-1,-1,740312,949393,41374,120312,-1,701686,-1,380669,838506,849204,826279,-1,631546,619234,-1,-1,558539,-1,-1,39530,441548,34329,713470,-1,-1,737776,-1,451598,-1,-1,655822,-1,-1,762458,-1,-1,-1,823214,-1,405702,-1,315079,99220,-1,-1,804239,40400,-1,-1,-1,-1,98343,75762,-1,-1,-1,-1,-1,14709,-1,129616,-1,-1,900664,887632,762617,531431,363588,468621,302546,818996,-1,-1,572880,-1,671040,-1,-1,-1,90977,457742,-1,280849,-1,818976,-1,-1,-1,830349,-1,38798,578926,592776,78337,-1,398475,394631,790701,782189,950521,-1,-1,-1,-1,-1,410501,342427,-1,79229,877648,930989,-1,-1,-1,-1,-1,279049,160269,974328,730007,927975,-1,-1,-1,-1,-1,187238,-1,96521,-1,265385,-1,888871,52826,806069,29652,-1,759057,704010,-1,172441,-1,-1,120637,-1,949427,-1,-1,-1,-1,-1,-1,539863,-1,-1,-1,462385,-1,610037,-1,894707,39801,-1,401608,691617,148786,361082,-1,473948,-1,-1,308933,-1,727704,178477,22405,-1,939742,609333,-1,-1,-1,822832,-1,-1,307936,-1,849056,997892,556406,-1,-1,-1,71582,-1,-1,-1,732756,-1,652570,268563,-1,-1,-1,758501,-1,-1,521562,100536,-1,475039,-1,63852,411998,-1,-1,326067,-1,-1,-1,-1,370207,922061,-1,556568,-1,-1,642580,697128,-1,-1,-1,-1,-1,-1,-1,149277,-1,-1,828330,-1,345261,-1,596759,-1,508443,943564,-1,794084,157290,-1,48265,-1,-1,-1,447810,764976,-1,-1,-1,-1,-1,-1,-1,-1,46787,-1,-1,297868,-1,-1,692835,399372,801506,569346,498933,162587,-1,227388,-1,394608,23017,121526,-1,876189,-1,-1,463156,-1,72820,-1,-1,-1,64862,-1,-1,799768,314297,71193,554242,-1,-1,-1,809828,290233,88675,-1,-1,-1,526656,-1,553267,-1,886013,-1,-1,565109,176426,883086,-1,186513,264628,68176,-1,440027,-1,-1,228616,121200,-1,363223,-1,633071,-1,-1,-1,-1,-1,-1,-1,-1,-1,363220,-1,521081,-1,760571,-1,-1,-1,-1,215815,-1,-1,-1,-1,-1,649946,104017,791643,-1,-1,624166,-1,-1,431093,-1,649272,-1,415450,-1,-1,-1,740309,-1,-1,-1,-1,300714,343016,472308,499916,-1,-1,918097,-1,-1,-1,-1,-1,238930,-1,197032,432414,-1,-1,928142,-1,409173,-1,255759,-1,-1,845509,462824,163745,421689,-1,474773,331413,243316,-1,370267,121321,-1,-1,155246,439513,717819,-1,-1,935405,-1,-1,-1,804475,-1,-1,-1,-1,-1,-1,-1,679139,347872,-1,25525,686443,-1,-1,-1,-1,-1,-1,-1,177010,387869,691789,227796,70322,-1,490666,-1,-1,31473,-1,-1,-1,801882,-1,-1,-1,297911,-1,353100,995510,-1,-1,-1,111967,-1,535478,-1,765357,914597,80095,-1,-1,199161,-1,-1,-1,-1,161256,-1,-1,-1,-1,-1,376161,-1,822436,303934,-1,-1,586422,198378,58797,793574,574600,-1,619375,-1,-1,517985,700349,114805,789,-1,340803,-1,131899,522241,373657,-1,-1,830854,180668,-1,741969,-1,762378,-1,-1,564297,132771,-1,-1,-1,858285,260513,-1,868239,475631,464964,82896,708315,19199,295417,774748,-1,790990,656294,-1,981705,118942,-1,763779,369161,-1,-1,978365,-1,-1,-1,-1,201591,739996,710657,185826,298124,-1,-1,-1,582550,-1,437738,575218,-1,-1,925532,868862,-1,914232,-1,511683,894753,-1,662979,337868,-1,-1,283399,767511,-1,129346,-1,-1,653752,944485,658700,-1,-1,-1,-1,-1,-1,674788,-1,190458,843198,245732,-1,-1,-1,388773,-1,957508,783266,693350,358962,900578,-1,410706,289218,970020,627594,-1,-1,-1,-1,243016,514135,163278,-1,134408,-1,-1,656131,869341,651449,455162,-1,996179,505131,336505,-1,-1,-1,-1,-1,-1,-1,323281,590417,-1,508585,739664,439591,-1,698137,-1,-1,-1,-1,455665,-1,118207,-1,-1,-1,-1,853623,304501,-1,748527,-1,478119,287622,-1,797349,399729,-1,-1,-1,-1,333866,709366,-1,-1,-1,288185,-1,-1,981796,304155,563846,-1,-1,-1,266069,720794,-1,184697,-1,278369,674621,-1,-1,-1,505004,512709,167022,531072,687392,800466,-1,-1,67208,743220,-1,-1,619825,-1,-1,-1,-1,496634,260007,490367,285938,-1,101494,615301,492798,-1,581695,-1,-1,368337,663504,93745,557981,-1,-1,413852,-1,421824,-1,39424,-1,564572,-1,917582,-1,-1,571123,-1,632094,234523,967260,470867,851459,709753,-1,-1,-1,-1,-1,668081,-1,-1,390486,-1,387350,638134,-1,-1,945685,-1,-1,-1,-1,-1,-1,807476,175671,236211,-1,-1,-1,-1,467683,367021,-1,64123,393023,-1,-1,-1,284748,-1,588317,862739,-1,588087,482435,-1,572206,998878,-1,-1,877067,902967,-1,-1,955365,-1,-1,681266,275772,-1,-1,822498,936858,-1,-1,407685,-1,204624,-1,839194,92181,985787,-1,280210,-1,-1,534477,-1,764597,331394,-1,-1,876872,695780,-1,-1,-1,741157,-1,-1,-1,957597,589423,416668,-1,901005,390645,-1,-1,-1,862051,-1,676916,121872,-1,-1,-1,100701,654943,959853,385689,252090,-1,-1,-1,-1,597638,-1,116206,548819,636375,698301,-1,365102,-1,606872,551309,42937,-1,80524,887217,-1,-1,-1,-1,38683,-1,-1,-1,933518,31144,-1,-1,883682,163740,-1,283797,-1,-1,889990,-1,674426,201650,-1,-1,276197,-1,281057,-1,-1,-1,831449,-1,353403,959186,74004,354384,62843,-1,-1,-1,-1,843389,-1,-1,695710,682159,126039,-1,939517,-1,357949,13396,-1,140227,345349,-1,825499,499411,321470,-1,74609,870627,-1,967869,-1,-1,703855,-1,-1,-1,-1,882830,776034,177423,-1,529901,964412,270103,917768,88501,-1,-1,601695,-1,167499,472934,-1,-1,998313,-1,312238,-1,969531,610135,146398,-1,-1,-1,486098,125297,89161,267248,241060,21198,670454,467738,-1,-1,-1,-1,-1,58420,-1,944721,-1,797616,-1,251106,275807,-1,993665,252845,-1,952158,-1,734293,-1,188893,211504,225582,-1,967677,-1,-1,37694,727464,-1,-1,598350,-1,864294,-1,-1,-1,895892,-1,-1,-1,-1,310919,-1,-1,906332,-1,865564,365043,942572,13504,872907,237660,912474,-1,-1,-1,557059,707665,-1,469590,-1,340101,849427,190118,-1,-1,-1,-1,-1,-1,708938,558123,276681,215425,394691,989632,-1,-1,304209,-1,-1,365292,492739,791923,686534,32907,-1,360531,631457,812176,747292,-1,-1,-1,596651,751105,854066,323941,-1,107684,-1,486118,371062,-1,-1,236321,-1,312280,476575,588298,874042,919492,170278,327445,684497,-1,418711,134031,735002,-1,6257,-1,-1,360595,-1,676255,952870,-1,-1,662693,-1,-1,928466,-1,179998,-1,-1,264423,474374,367908,425779,371934,-1,896365,88443,-1,-1,529551,-1,-1,-1,-1,-1,397266,825851,-1,779825,535868,125354,362688,688013,-1,-1,1570,-1,-1,-1,-1,-1,534782,-1,953381,-1,-1,-1,-1,-1,504042,-1,-1,-1,-1,-1,57533,360194,-1,-1,-1,-1,-1,12346,368511,65142,587411,124823,-1,-1,81637,-1,-1,-1,-1,-1,-1,47302,-1,795907,978508,-1,-1,-1,577559,-1,-1,-1,-1,892757,-1,115433,-1,193883,145271,423205,-1,547677,311512,-1,354902,845069,-1,-1,310616,566508,814255,989869,449018,625855,428956,-1,34937,-1,875325,-1,682674,-1,-1,-1,554498,-1,-1,927281,-1,-1,-1,-1,891981,74255,-1,-1,-1,223126,-1,203439,347894,-1,-1,683160,857213,693289,405079,-1,-1,963146,233439,823915,-1,-1,548161,968515,-1,507729,-1,-1,916181,-1,-1,-1,-1,830673,-1,176535,-1,754534,438252,546934,-1,-1,-1,-1,82023,-1,778988,-1,-1,-1,-1,144407,91352,-1,-1,-1,-1,29593,174926,287384,618559,-1,761855,-1,-1,-1,-1,-1,161510,-1,-1,-1,-1,782633,-1,797269,-1,573538,848062,-1,556149,-1,-1,-1,-1,950016,-1,913845,-1,739143,-1,-1,-1,-1,-1,-1,-1,-1,966359,-1,552151,-1,-1,-1,539216,-1,346576,314643,634140,719250,676296,502516,60773,38725,569382,-1,394774,-1,649499,177497,-1,22798,-1,446352,-1,975198,-1,-1,419684,-1,375172,660543,-1,-1,722423,-1,-1,-1,273692,310611,34228,256539,934229,-1,-1,-1,-1,663911,-1,-1,975188,-1,696566,-1,868585,-1,902315,-1,900605,-1,-1,284988,62359,-1,658127,623550,391714,-1,-1,635518,-1,182948,-1,-1,-1,-1,481748,-1,213059,456743,-1,-1,-1,-1,462704,-1,305446,-1,-1,748741,-1,953262,497299,-1,239901,-1,953030,-1,790820,-1,540455,505958,-1,382495,178349,437018,-1,676692,807024,796567,663072,-1,-1,-1,-1,-1,404504,-1,-1,-1,508691,574972,295372,-1,874809,706729,-1,890294,693702,-1,-1,-1,267346,242170,282121,-1,813536,-1,211310,448574,864678,-1,213692,564511,-1,239283,396883,650914,-1,39287,-1,-1,-1,821685,360537,-1,-1,-1,613657,327896,-1,443162,-1,-1,-1,-1,-1,749506,566598,738958,-1,306097,682597,150293,93543,-1,-1,-1,975707,-1,-1,509296,-1,-1,-1,760220,-1,159792,883668,-1,912152,877651,796591,-1,131436,698223,-1,-1,456298,312832,230434,91802,762724,-1,650940,630423,479524,783927,441954,847955,-1,-1,399265,564082,608367,15345,965094,30570,-1,-1,583819,-1,-1,397821,-1,847527,-1,415662,385041,599456,-1,-1,275031,-1,192991,-1,-1,-1,-1,-1,-1,184719,103881,909009,402083,-1,-1,-1,713725,-1,-1,-1,607045,723437,194463,-1,-1,-1,-1,124089,684940,51049,-1,84988,184036,478421,-1,303743,265065,39689,-1,-1,94182,-1,-1,-1,-1,507326,-1,300073,-1,-1,-1,191097,651910,-1,721629,-1,916103,-1,-1,-1,-1,-1,-1,-1,179670,-1,-1,694994,-1,453815,-1,219564,-1,-1,864319,-1,74749,-1,-1,790525,520692,-1,776486,88558,301668,-1,-1,612863,-1,-1,184290,261380,252407,613647,-1,-1,8564,663802,-1,316734,-1,476161,-1,684762,600665,-1,-1,-1,604398,399,-1,310297,671222,548451,718287,-1,250452,538498,725606,-1,-1,64821,249930,611747,-1,-1,365850,-1,92030,-1,247914,986413,-1,-1,-1,349192,400062,987336,979820,518003,545456,569634,163925,893729,-1,-1,597656,235260,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,594243,-1,-1,783757,-1,835340,-1,-1,-1,108334,-1,982100,63536,-1,321214,-1,966490,-1,-1,17198,303886,-1,-1,293907,648130,212003,639968,-1,-1,-1,260627,-1,953741,265653,-1,19618,47532,-1,160242,153926,681744,519652,-1,471586,223905,362520,-1,133348,730744,-1,-1,-1,633285,172529,736776,-1,413257,-1,-1,-1,-1,645096,-1,497504,994012,-1,-1,744356,-1,239770,-1,820703,-1,559984,-1,-1,-1,581770,261017,-1,-1,681698,236556,-1,-1,-1,488201,175770,999913,-1,-1,-1,-1,-1,395857,159986,-1,895262,-1,281986,-1,420555,-1,-1,-1,-1,-1,-1,193136,-1,-1,-1,233901,273800,-1,-1,238174,498473,893902,612585,19312,661037,911267,501460,-1,758144,37788,707149,425760,687929,141464,-1,941667,-1,419171,-1,331328,-1,-1,331061,621026,388380,502568,335766,508916,-1,289421,776175,-1,749202,162800,-1,671699,-1,150966,-1,799691,950027,-1,-1,-1,233268,-1,375051,-1,-1,304689,240301,482595,866158,402693,-1,-1,591879,-1,-1,-1,260688,-1,607075,-1,-1,729055,912951,-1,-1,686538,618550,-1,-1,24423,617468,-1,655410,-1,737161,766485,-1,-1,255642,-1,-1,-1,-1,-1,241280,251616,815923,-1,638530,172756,874354,-1,-1,345144,-1,199380,-1,437611,-1,491448,926867,430535,-1,-1,889932,-1,995443,410732,-1,-1,-1,467597,-1,-1,863841,-1,-1,982525,-1,-1,389624,172988,299299,-1,964221,-1,71535,493997,615500,784726,-1,-1,-1,-1,-1,-1,118121,-1,-1,780525,608126,828362,860723,-1,367172,-1,-1,-1,669568,275980,5676,111739,-1,-1,948304,-1,337816,185858,-1,728695,-1,522510,119575,-1,743383,-1,476750,532559,-1,-1,-1,190931,250855,-1,-1,-1,-1,369120,-1,-1,-1,-1,-1,-1,356987,-1,-1,-1,87346,-1,265391,-1,-1,-1,-1,3575,389464,125382,444964,426290,-1,110674,605416,114648,772753,-1,-1,-1,238959,815414,284000,-1,-1,561214,359564,723963,-1,-1,-1,-1,-1,631665,-1,-1,-1,-1,589855,727689,929303,-1,-1,-1,-1,857014,850396,-1,825710,156929,738516,-1,-1,888347,-1,350526,893727,-1,526958,-1,-1,-1,-1,-1,-1,616420,-1,895491,745870,-1,709683,218927,-1,672978,758222,-1,779048,687468,-1,-1,-1,435144,-1,-1,847306,-1,-1,882500,-1,508580,330616,-1,-1,-1,-1,789130,-1,541946,-1,-1,-1,-1,237276,293630,227823,-1,-1,955073,-1,446781,-1,-1,-1,-1,-1,109544,574241,981334,214958,-1,822326,561288,710897,44603,-1,-1,354419,734110,916064,799849,-1,710881,833366,-1,-1,-1,508254,-1,480745,-1,-1,-1,35300,-1,891798,-1,236683,675571,181164,93940,-1,-1,40069,913084,-1,705785,-1,-1,-1,-1,-1,15893,-1,971609,531453,775724,250166,507063,-1,-1,251560,971655,-1,-1,132477,936898,375349,378710,-1,664466,-1,-1,753630,-1,-1,58648,-1,980115,-1,-1,-1,-1,926904,-1,-1,449189,735111,-1,-1,-1,778408,-1,476665,55302,-1,-1,-1,994538,-1,239811,-1,-1,-1,460985,285714,-1,421708,-1,26423,-1,605895,264670,-1,813981,-1,-1,-1,-1,-1,-1,70670,539507,616533,-1,-1,-1,-1,-1,931634,-1,-1,-1,964795,-1,191729,-1,-1,582883,-1,-1,-1,877701,505816,232057,-1,922521,-1,-1,-1,323305,787561,-1,291845,-1,-1,-1,341470,-1,-1,-1,-1,624576,-1,356192,792913,-1,-1,869103,-1,-1,-1,786793,-1,604145,-1,-1,588717,469617,239870,154803,401883,-1,274715,52641,392116,-1,450472,-1,733328,246635,555298,690715,-1,27663,3798,693131,-1,-1,-1,-1,-1,720249,737825,709622,-1,-1,984601,944799,861944,147790,-1,-1,563547,720294,-1,627945,238741,290953,-1,-1,-1,-1,-1,-1,-1,824841,-1,397152,617446,-1,742542,464874,-1,-1,678591,-1,754945,-1,-1,-1,-1,293317,-1,-1,-1,916580,-1,374744,-1,-1,192603,-1,123796,342311,668278,747748,523038,-1,-1,-1,-1,395910,956275,-1,-1,-1,794603,64353,-1,-1,353544,617764,-1,496081,-1,271078,820131,166772,-1,377201,-1,176806,-1,-1,-1,329606,-1,-1,-1,-1,-1,630260,396662,-1,-1,30800,-1,-1,141375,458969,875974,-1,187097,735513,-1,-1,-1,678521,-1,-1,-1,39763,549691,634702,992827,-1,451981,472436,473136,-1,-1,779188,22688,-1,-1,551553,-1,-1,-1,394328,120420,674114,662856,115253,562165,-1,-1,-1,-1,639405,730697,155690,532349,-1,468012,-1,364074,568949,876400,56700,-1,590332,70247,883070,-1,227324,-1,201665,748022,-1,378603,785207,-1,928275,50087,531282,-1,-1,66398,549567,648567,156143,949022,165148,-1,69971,97458,247577,617663,-1,-1,-1,822894,718742,-1,-1,-1,-1,895444,-1,-1,-1,328657,472531,-1,85679,336952,-1,-1,254996,486019,-1,147364,674825,-1,-1,42412,577123,102944,776914,188467,720749,827076,-1,526769,-1,-1,63394,273152,487021,568411,908832,362979,466828,730092,3312,558667,-1,-1,345970,-1,893677,-1,546302,-1,416516,549352,-1,775008,-1,-1,-1,891242,973455,3207,928084,483618,201151,-1,-1,-1,-1,-1,441350,-1,-1,415761,202589,73470,454726,267283,813982,550486,370862,33145,-1,-1,929485,-1,278935,-1,558682,-1,112561,921203,298776,831831,399142,102614,-1,98636,295900,952593,-1,154217,860333,-1,-1,70208,352597,-1,-1,-1,896803,433395,887843,304283,-1,-1,906160,-1,587439,-1,954504,-1,66641,-1,479356,-1,373534,-1,457305,735348,222832,225022,564294,140825,923899,427934,-1,-1,-1,-1,-1,-1,-1,297397,-1,681778,292144,-1,-1,-1,752781,749079,-1,-1,45281,871334,727137,-1,289784,635087,818993,-1,345530,-1,-1,-1,342496,-1,444965,-1,83016,177876,930119,888950,530066,-1,593198,-1,-1,-1,782118,-1,731503,198393,179088,9438,524076,433312,595562,-1,-1,97850,-1,573114,-1,-1,923861,272319,411529,-1,-1,-1,58300,-1,870220,-1,-1,649561,525713,96669,-1,354675,-1,-1,92572,-1,-1,-1,116428,406570,641598,-1,-1,-1,-1,558806,-1,317164,-1,-1,304643,-1,-1,515244,-1,889049,501482,-1,-1,730055,-1,698838,-1,50700,-1,661283,-1,-1,763859,-1,-1,-1,-1,-1,302858,992297,265430,-1,-1,-1,352396,-1,943380,-1,463892,-1,843854,741380,902178,-1,-1,844481,-1,-1,-1,-1,255895,-1,246589,-1,-1,575880,-1,454322,-1,719638,-1,252344,597530,842033,173959,395043,769179,963087,270592,-1,640380,-1,586476,-1,305832,555341,-1,-1,107053,231921,558636,-1,-1,-1,914436,-1,-1,-1,-1,-1,294329,-1,82034,448403,-1,-1,861371,379784,-1,604272,850383,-1,-1,-1,731100,862497,498287,-1,227555,-1,322416,324232,379428,-1,-1,413421,871669,840947,682817,290013,-1,304441,763199,-1,651352,596564,-1,-1,-1,-1,-1,123400,-1,-1,675073,-1,734489,157509,852434,-1,122492,-1,-1,957633,-1,499490,-1,650087,464034,410815,-1,-1,-1,-1,853720,-1,858943,-1,-1,-1,73184,87000,254133,-1,-1,-1,-1,-1,-1,631777,646201,953885,-1,887328,825955,-1,-1,-1,743860,348974,-1,740341,594996,-1,914195,398005,275835,552831,-1,93967,55682,-1,-1,898497,-1,-1,235917,806208,-1,506119,25960,477745,357098,737116,-1,-1,421918,-1,390243,-1,523965,-1,247314,-1,-1,104153,49566,19810,-1,325168,-1,-1,555637,-1,502404,-1,472692,327084,719994,-1,-1,592803,713852,-1,-1,-1,4797,-1,-1,952262,-1,-1,72514,-1,-1,-1,255350,-1,-1,177025,-1,629901,-1,-1,-1,-1,915187,332028,755806,280632,807576,-1,985995,519309,-1,-1,-1,274595,31509,-1,675417,253057,873356,221194,-1,-1,-1,-1,-1,213376,624137,-1,374097,-1,514064,-1,242645,-1,175983,-1,630707,-1,481321,-1,723695,-1,738404,-1,189721,509233,-1,-1,324635,-1,422433,-1,560876,-1,-1,-1,414473,-1,325895,362192,661606,451467,645373,-1,-1,255621,223400,859011,-1,816203,216110,-1,-1,731030,710778,661384,-1,900164,-1,348692,-1,859666,311342,156940,-1,347579,-1,-1,363411,-1,43879,-1,-1,963207,607453,153838,708025,-1,525219,172705,-1,-1,150762,359602,-1,-1,-1,-1,-1,-1,900152,-1,991937,999846,-1,-1,925848,350112,-1,379012,249121,798391,304511,-1,-1,-1,-1,-1,775112,470419,-1,-1,-1,803710,547904,616922,500660,-1,17321,-1,394276,-1,841802,-1,-1,859819,369472,832576,748219,-1,543760,196291,257493,633284,-1,843419,471709,920524,783556,-1,625837,816610,920302,944945,-1,-1,232454,-1,-1,-1,-1,593147,648841,231277,282937,-1,705453,822382,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,402361,-1,-1,-1,878256,956447,-1,-1,169065,851118,-1,214377,-1,-1,-1,47922,-1,-1,514575,-1,-1,434756,-1,373462,-1,-1,-1,18770,950549,-1,-1,696010,927846,308810,842736,-1,484085,-1,-1,743458,870060,-1,-1,996629,-1,733402,-1,320476,-1,-1,24430,187173,52869,-1,656069,436453,-1,226427,995390,883004,-1,832863,-1,-1,678733,128671,385437,-1,861291,-1,629887,-1,-1,463583,125797,-1,-1,354043,106110,726819,29276,-1,193243,773926,-1,-1,349224,218842,421770,337433,840937,28365,-1,-1,-1,-1,-1,-1,-1,757210,-1,902643,-1,-1,844379,321219,270927,729108,603606,264214,-1,218307,604532,78402,826128,-1,-1,-1,319953,-1,641844,667713,103951,483348,-1,-1,-1,-1,-1,-1,885819,-1,-1,-1,-1,512452,-1,445865,398660,-1,774318,-1,-1,746260,666020,-1,-1,861741,-1,-1,-1,246606,88176,-1,770397,719798,-1,939763,550931,-1,-1,796697,402067,-1,717916,-1,-1,-1,-1,969281,-1,960488,616898,735473,-1,131425,784219,-1,893718,-1,-1,-1,355833,-1,-1,-1,367354,419827,185730,-1,-1,-1,-1,114347,407120,-1,-1,-1,-1,694587,-1,-1,-1,482121,179890,-1,110185,-1,-1,783867,-1,966058,-1,-1,957715,-1,604132,994463,-1,-1,676165,985176,662210,6585,-1,978166,-1,-1,-1,397416,-1,-1,-1,440049,144734,258711,-1,-1,559048,-1,670295,-1,90449,-1,616845,-1,696008,404560,756915,-1,358352,660047,463612,919594,36621,584814,356428,-1,999329,-1,491418,-1,-1,644998,-1,693336,71761,-1,919094,-1,673765,573678,554757,-1,-1,-1,-1,-1,219307,-1,550238,-1,-1,345332,339929,-1,-1,-1,233166,-1,39343,-1,834581,-1,-1,-1,-1,893774,-1,490055,797890,943009,178426,-1,18245,820499,694522,-1,512445,-1,-1,-1,-1,-1,-1,-1,69916,-1,-1,733696,470322,-1,911921,802439,-1,910171,182459,-1,54162,695302,-1,108751,-1,790604,-1,858924,221832,65509,-1,773574,688100,-1,-1,777348,142985,632808,-1,-1,285069,-1,609840,590083,721269,929380,165002,-1,-1,-1,-1,11085,784618,-1,-1,573506,405761,-1,-1,752151,476413,368799,-1,271982,-1,-1,660157,-1,-1,752238,-1,-1,605271,-1,-1,677420,742153,-1,-1,717665,-1,352834,-1,-1,559262,-1,109313,498508,249396,995038,-1,235808,936905,752065,-1,-1,-1,383518,642392,501678,136339,164289,946169,-1,458787,-1,-1,-1,-1,954343,266719,955293,823292,228618,493545,-1,-1,-1,260495,804348,542413,875084,744440,-1,-1,-1,-1,-1,-1,202500,313353,583521,603328,-1,-1,33116,387015,-1,-1,89693,-1,-1,-1,659249,-1,514324,-1,-1,-1,380432,570955,862777,425884,-1,-1,-1,633830,-1,379235,-1,560372,643900,255267,984866,-1,428870,-1,866909,446632,-1,884242,-1,295949,538492,-1,308167,42585,684668,750167,592380,139869,961467,-1,-1,27124,-1,-1,-1,-1,-1,65873,-1,-1,537716,-1,15674,-1,-1,728576,-1,-1,-1,61775,203573,104597,-1,777873,740842,-1,-1,-1,474568,-1,-1,-1,95035,-1,220163,-1,-1,622408,-1,-1,403747,-1,-1,489697,55450,-1,981474,980423,581964,171110,-1,-1,-1,-1,-1,-1,-1,474505,-1,-1,-1,551786,604093,18186,-1,-1,544211,-1,596747,382016,384850,-1,-1,-1,-1,614828,582381,-1,868467,758644,-1,432801,-1,450430,-1,-1,100631,-1,-1,458342,-1,635701,245490,-1,2640,-1,303010,-1,-1,-1,-1,-1,110598,791943,-1,-1,525924,915848,75731,-1,-1,2450,392858,909935,564442,-1,242066,740104,804152,-1,-1,-1,738790,-1,-1,-1,-1,-1,-1,95917,737849,36681,468347,533495,-1,21528,-1,-1,598994,831459,-1,-1,-1,-1,328075,-1,-1,-1,-1,692746,-1,942178,425090,781495,-1,979974,642050,-1,-1,834988,696473,-1,1259,669543,280441,282445,586581,421466,782188,-1,447294,-1,255354,730556,951881,-1,-1,-1,-1,-1,744093,472528,-1,343006,928312,373178,600978,-1,-1,-1,-1,-1,-1,157844,32892,804482,869566,674602,516066,490861,317319,-1,-1,36325,-1,18557,149347,-1,-1,701847,-1,-1,-1,154717,-1,-1,-1,-1,212309,-1,-1,972277,-1,180678,890256,799631,-1,993162,667491,-1,597485,378580,-1,557976,-1,-1,-1,-1,688139,840628,-1,-1,-1,-1,-1,-1,292454,-1,-1,-1,-1,341855,-1,-1,-1,569234,550448,219149,-1,-1,-1,885636,665580,557493,483336,-1,-1,77396,-1,-1,-1,-1,866102,-1,993693,-1,-1,946193,-1,538183,-1,200682,-1,-1,394596,452255,132854,-1,969159,-1,-1,-1,104500,829197,776609,484878,-1,-1,636816,379359,-1,-1,-1,-1,-1,-1,531784,273176,839613,-1,-1,765681,233754,698810,-1,647692,19803,-1,284624,-1,-1,-1,311441,514355,362329,433737,446757,-1,789321,-1,756571,-1,-1,223975,-1,-1,370397,-1,-1,-1,-1,-1,-1,356180,716029,454688,526978,-1,-1,-1,-1,437724,958327,-1,301148,82799,244799,40919,674997,-1,-1,313657,792294,-1,-1,-1,-1,442026,370213,-1,-1,965053,-1,146539,198696,904330,961145,-1,139617,-1,214103,-1,-1,18594,-1,-1,941691,528764,-1,408524,110428,-1,441627,950592,858211,-1,645081,-1,-1,-1,825627,542598,9286,-1,926402,627984,308827,872465,-1,-1,948665,-1,-1,-1,446132,-1,-1,-1,-1,-1,-1,-1,56726,-1,954813,926832,-1,-1,905086,-1,-1,214440,142560,-1,-1,-1,-1,386452,-1,289672,606603,-1,-1,182233,-1,52122,742462,325916,747793,-1,-1,834019,246132,-1,357625,-1,-1,-1,330522,149510,-1,-1,-1,566434,-1,-1,575890,229752,378385,-1,580435,877458,661779,911125,162102,406326,310787,-1,708688,-1,319537,-1,409556,-1,116257,-1,797564,656846,286284,-1,-1,296730,-1,-1,993514,950684,-1,-1,-1,-1,642852,-1,228150,174931,908487,742734,-1,-1,-1,-1,211215,944223,886535,-1,-1,533223,-1,285342,804175,-1,540391,690859,720235,-1,905076,379335,-1,901322,-1,912326,206872,-1,753089,-1,-1,836848,236781,692255,583401,-1,-1,722836,139461,-1,-1,336638,-1,-1,-1,902238,86949,978302,-1,-1,-1,-1,222668,1849,-1,-1,360511,-1,-1,-1,-1,-1,278956,-1,-1,-1,-1,-1,-1,134648,982092,444270,420460,377364,-1,-1,354341,-1,-1,-1,200941,-1,-1,-1,171980,677324,-1,351550,-1,-1,980225,-1,624991,492499,621789,-1,886693,463777,-1,836005,816474,-1,-1,-1,-1,930538,139656,-1,-1,-1,432819,347989,587211,-1,-1,-1,951878,337076,219485,-1,427744,-1,413555,-1,-1,-1,931715,-1,-1,-1,-1,-1,334578,758982,-1,-1,308030,309300,685817,906129,-1,-1,-1,-1,-1,949717,-1,-1,859603,574562,-1,361649,556024,-1,392629,88629,-1,128594,-1,684986,492361,-1,551208,-1,848496,-1,81004,-1,-1,-1,42370,-1,920467,818764,886919,984003,602394,-1,877876,123609,203393,-1,751128,200111,-1,234987,-1,565665,738327,162444,-1,-1,878823,171987,171491,261633,-1,-1,165312,-1,585606,-1,769959,482223,-1,-1,-1,605694,793012,-1,-1,-1,-1,257789,97546,325996,-1,770711,977369,-1,-1,723850,-1,342259,791585,-1,-1,-1,-1,-1,507763,-1,-1,-1,-1,688602,345792,182358,-1,-1,-1,-1,-1,-1,14975,954567,935834,-1,638767,-1,207756,-1,-1,-1,-1,-1,-1,316273,-1,-1,463358,360671,-1,435677,677043,99890,365817,632155,561668,-1,-1,-1,-1,557712,-1,123407,-1,796202,-1,-1,-1,649044,726535,-1,537076,819225,496215,254334,-1,959366,45087,780043,-1,-1,-1,293788,-1,939956,947902,972599,-1,383426,-1,455274,595160,286134,336834,819952,-1,807621,-1,-1,529496,996933,167656,-1,713928,-1,-1,-1,-1,-1,-1,822239,-1,-1,-1,-1,-1,196553,-1,-1,416858,265058,918951,762890,211409,166845,-1,-1,906512,-1,-1,131260,591371,-1,508380,-1,-1,-1,-1,995375,948506,551448,209987,-1,-1,-1,-1,15021,436906,499802,-1,-1,136127,142356,792170,6985,244746,927454,334092,797649,111831,-1,-1,709574,-1,555450,-1,632583,723318,415589,219911,528615,-1,550481,628543,-1,-1,-1,-1,40609,696834,666329,-1,-1,-1,898960,61212,-1,-1,-1,693480,-1,-1,316350,-1,-1,-1,-1,-1,-1,12219,-1,638941,288608,621458,-1,-1,853882,-1,28473,-1,917650,386805,855472,-1,-1,372831,-1,-1,18823,443659,-1,-1,788649,-1,-1,-1,-1,-1,-1,108670,187076,-1,58949,296166,60156,-1,464318,17135,-1,-1,-1,706798,-1,380182,-1,68313,-1,98847,-1,-1,299432,-1,4410,159907,761981,-1,-1,-1,-1,929592,310333,472293,-1,96480,-1,-1,850201,831954,-1,-1,185387,-1,-1,448229,892264,602332,20942,585811,224478,471773,-1,-1,147275,16001,-1,-1,656894,-1,-1,-1,-1,113389,-1,276534,747083,-1,-1,-1,-1,967032,795059,-1,409596,825933,313508,-1,-1,-1,-1,760922,-1,-1,775287,-1,-1,540952,177032,853643,-1,925723,-1,878845,-1,911784,384766,28416,-1,211608,303639,-1,-1,964234,-1,-1,-1,-1,-1,303762,466948,-1,-1,-1,-1,181404,-1,418881,174974,-1,-1,-1,307693,15443,-1,518334,849669,363935,-1,-1,365084,247175,700651,340169,179108,149021,-1,-1,-1,204397,-1,553504,741418,-1,918158,-1,158294,-1,543688,728503,338146,-1,-1,907723,-1,-1,-1,-1,709313,-1,633861,168419,-1,-1,-1,376425,-1,973446,759545,-1,-1,742848,324247,-1,-1,285192,315197,445159,-1,106804,-1,783601,813117,733998,204229,927365,528302,580635,-1,297586,-1,-1,189886,-1,-1,-1,86744,-1,844521,-1,-1,-1,-1,-1,203280,-1,41535,317194,321226,175550,-1,842126,-1,-1,244230,277014,-1,37471,861779,534888,-1,-1,-1,-1,-1,564291,-1,-1,983427,-1,-1,426783,56886,399830,-1,629670,910737,245445,-1,-1,515825,322931,-1,-1,262168,504915,-1,305171,-1,669281,744892,270859,696294,748344,513586,-1,299129,-1,-1,606190,-1,-1,-1,648501,-1,50696,973463,65098,33039,255074,105714,-1,-1,-1,171649,442512,689982,-1,587998,-1,639277,659698,975888,576195,496322,26820,535412,920176,808893,-1,-1,598667,-1,346331,-1,520530,924115,-1,-1,-1,-1,-1,325116,-1,-1,586033,-1,-1,-1,-1,670138,-1,172577,257317,209544,-1,-1,445188,-1,579343,289944,-1,-1,937800,-1,-1,-1,-1,604136,76508,158240,-1,836794,-1,612263,-1,541863,606561,-1,14821,-1,448134,422890,-1,292633,-1,521313,-1,-1,393413,-1,637347,476767,-1,-1,-1,673550,366774,474088,932944,-1,-1,450456,-1,562814,152327,-1,38640,-1,396148,-1,541856,761216,223643,-1,-1,-1,-1,24400,270659,-1,-1,-1,-1,-1,138211,853908,368700,948462,-1,-1,-1,-1,-1,-1,-1,842384,-1,486795,47408,-1,-1,64399,924606,139581,-1,585307,-1,-1,-1,636730,993127,-1,-1,750187,-1,80386,121734,269114,-1,-1,-1,589936,727494,-1,-1,-1,-1,871157,504071,-1,-1,283352,-1,-1,554597,584472,-1,319396,843256,697655,-1,842198,-1,435578,-1,155771,772099,-1,-1,926551,-1,-1,576054,983525,444901,551609,-1,696063,714121,-1,665877,500800,-1,-1,-1,-1,246208,729469,986528,968231,-1,805489,570730,-1,-1,985129,-1,416040,810013,-1,-1,796047,-1,241366,30135,761240,-1,558253,-1,-1,872323,474643,-1,521533,-1,376653,863412,-1,144423,280673,933944,656260,-1,-1,-1,-1,474,-1,-1,100004,-1,-1,-1,764941,590745,-1,712930,-1,639517,256033,-1,-1,-1,659477,-1,483236,195387,-1,503431,-1,-1,-1,933575,998317,-1,682322,-1,-1,-1,-1,-1,-1,717341,-1,-1,534670,-1,-1,-1,304357,-1,-1,-1,925580,542906,-1,91573,-1,935298,94471,777849,-1,-1,719172,-1,-1,480268,556637,-1,-1,-1,853458,319292,-1,-1,-1,326523,380556,-1,-1,109159,390703,255784,-1,9930,-1,-1,376753,621089,-1,-1,-1,-1,559359,486213,674727,824136,91958,-1,-1,-1,-1,512733,-1,713429,141468,899513,787586,-1,935886,-1,889601,-1,18642,-1,-1,-1,-1,-1,-1,-1,-1,42762,-1,-1,-1,58619,-1,-1,530910,-1,429869,-1,-1,-1,514858,701150,305638,-1,477927,-1,-1,892970,-1,-1,-1,-1,-1,407553,-1,745546,297353,706645,869587,562731,651194,582443,-1,-1,-1,-1,434282,173960,-1,183994,-1,928422,-1,-1,975128,-1,121816,-1,-1,263652,351442,890700,933519,-1,-1,-1,870176,855675,-1,460231,-1,271663,-1,-1,-1,-1,326475,-1,323590,-1,-1,383463,781075,-1,847245,-1,-1,-1,648559,-1,-1,81754,309468,922812,559059,-1,764737,681583,-1,-1,35792,381303,614980,880825,-1,255597,-1,-1,-1,-1,-1,907917,166940,-1,-1,391972,970636,-1,771013,516603,-1,920564,201228,-1,-1,-1,298679,527926,-1,468757,-1,276138,-1,-1,-1,576985,455820,894713,-1,43982,-1,-1,723834,217112,170628,-1,230625,251726,-1,824851,-1,413107,-1,14412,894825,343961,-1,200887,-1,-1,379903,-1,745512,200534,-1,60043,-1,-1,-1,-1,94309,663123,536027,-1,-1,370192,94491,-1,-1,-1,356919,-1,-1,-1,-1,236134,-1,-1,-1,600154,-1,744985,-1,66487,-1,-1,-1,631868,964053,527778,-1,-1,833609,-1,-1,-1,357680,-1,-1,-1,-1,525777,105576,-1,-1,-1,831769,510284,-1,-1,-1,-1,432427,-1,-1,320971,-1,-1,-1,401228,-1,400352,-1,-1,557520,879034,951027,690243,719877,190706,-1,731418,-1,550625,367469,913442,29683,134293,-1,-1,-1,-1,-1,-1,547192,-1,102961,121139,38650,45365,-1,-1,-1,-1,-1,7388,-1,-1,381138,288173,-1,291770,-1,337228,-1,940399,429067,753992,-1,783795,555203,-1,-1,480290,-1,-1,215018,-1,-1,-1,-1,-1,801143,-1,781705,713823,-1,43532,169072,-1,-1,-1,613480,673772,849860,346982,-1,427083,875477,-1,328977,-1,-1,-1,-1,379081,786638,-1,-1,344403,696419,-1,910000,-1,365220,-1,342061,274541,517595,518288,153031,109645,-1,670992,-1,33535,-1,432507,773461,773586,399803,621019,102677,426648,510239,151306,692556,-1,-1,-1,10633,-1,567108,-1,600779,552254,552088,297980,-1,295628,-1,916233,-1,155915,-1,437093,596973,-1,593242,828729,-1,-1,944923,952997,833744,521543,576954,974722,834628,507680,191330,-1,-1,-1,339549,-1,-1,-1,878695,742174,-1,-1,-1,-1,-1,221696,933442,-1,530258,102022,480459,-1,293761,894902,-1,-1,-1,-1,946366,-1,-1,-1,691874,-1,56423,-1,114723,-1,601076,-1,-1,310405,236607,-1,693475,431017,-1,864915,64603,-1,859575,-1,794227,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,430989,481995,-1,-1,-1,559526,-1,129926,138581,-1,795869,-1,403784,-1,-1,62376,-1,-1,855290,797732,974717,-1,604981,551378,801078,-1,656144,347875,-1,561941,243983,241446,694242,-1,914420,163874,-1,-1,-1,787823,-1,-1,857581,336123,-1,-1,-1,-1,637340,955717,844148,689357,871524,-1,-1,75464,371145,471386,400483,45635,915059,-1,669078,578759,-1,-1,-1,908617,663218,834567,3524,-1,849362,-1,-1,802822,371216,821823,517926,744162,673243,821352,-1,941319,268735,-1,312935,-1,-1,-1,-1,-1,-1,-1,-1,-1,760237,-1,-1,563081,-1,828199,-1,-1,-1,615760,-1,747606,311204,-1,-1,601398,-1,-1,431480,436202,-1,521613,-1,185177,-1,454060,-1,352561,162855,-1,-1,-1,267822,349703,-1,-1,-1,-1,81856,939712,-1,-1,-1,548558,113934,901331,143414,-1,512133,-1,328509,-1,365116,153342,634664,855990,46100,-1,699994,839715,595496,700632,-1,-1,-1,516383,931317,-1,-1,942578,-1,-1,-1,-1,-1,536044,-1,332599,986410,-1,953547,-1,-1,-1,471185,-1,-1,-1,-1,-1,168743,690089,569414,-1,-1,611342,-1,-1,-1,-1,-1,-1,215929,-1,-1,924555,-1,948574,322198,-1,-1,986608,282834,906349,-1,-1,-1,-1,-1,394514,963033,-1,438241,-1,709286,-1,238918,889498,873335,-1,305366,169480,-1,560725,-1,274357,-1,127104,803460,140390,-1,987311,173393,993848,323686,-1,-1,101753,917131,-1,-1,30176,919208,966123,458295,230044,710969,-1,-1,460091,-1,-1,-1,-1,19665,486127,359554,-1,-1,700598,-1,151036,87956,-1,777395,515113,-1,571162,731896,497174,-1,-1,64633,-1,924383,261645,128462,-1,718263,-1,771218,-1,-1,-1,-1,369794,-1,-1,-1,-1,-1,-1,120882,-1,114197,89769,-1,305674,142269,359109,853322,947272,-1,278984,-1,615903,254972,-1,-1,657279,148515,90882,56278,-1,177843,-1,-1,-1,917553,46192,721488,622461,-1,-1,-1,773552,-1,924169,238703,-1,105212,117593,744272,-1,840028,-1,-1,772322,-1,-1,366205,666646,401537,43370,-1,-1,807964,-1,-1,-1,-1,-1,430404,-1,-1,-1,698584,-1,210522,-1,-1,367401,-1,-1,-1,-1,-1,562245,796649,621314,-1,-1,143764,734123,-1,-1,8489,-1,-1,218705,874264,669323,-1,-1,-1,776928,433782,-1,946381,-1,382103,525322,326414,400059,-1,-1,705648,-1,639874,-1,13639,-1,-1,-1,580326,-1,-1,490919,680362,566959,-1,431417,-1,670800,754365,81881,423080,-1,-1,464154,697808,560845,-1,763922,-1,687808,378034,85294,-1,748570,-1,480809,-1,-1,472636,-1,-1,-1,78421,-1,774379,264165,509984,623136,274978,518893,-1,-1,-1,-1,-1,-1,95619,-1,738205,970259,-1,553994,288619,-1,-1,-1,250792,999747,289752,-1,-1,176583,-1,598147,-1,-1,702745,427095,606498,440708,-1,201234,-1,-1,217087,-1,-1,326439,-1,245612,986877,533453,834394,-1,371656,100237,-1,218291,662121,-1,-1,-1,623967,983854,193390,126472,-1,-1,-1,376369,-1,785457,-1,-1,176597,778400,335638,468843,561851,782980,921012,328323,595676,-1,-1,56416,-1,-1,-1,-1,772183,-1,369570,-1,-1,969985,35518,-1,-1,692789,-1,-1,-1,861335,-1,598319,-1,-1,-1,-1,710111,662535,156306,275515,-1,804811,-1,416126,-1,556108,-1,-1,-1,746773,13087,-1,381809,-1,848415,907669,949072,-1,901010,-1,-1,-1,526500,40405,800076,-1,-1,-1,673066,430369,233501,-1,-1,825787,-1,-1,-1,958821,183950,-1,123221,-1,-1,-1,142293,-1,926359,-1,-1,-1,-1,-1,-1,228910,-1,161378,255071,468019,460410,899740,149437,-1,779424,-1,-1,416767,462946,212875,311808,953906,513896,352665,-1,-1,783821,324358,-1,-1,713977,-1,-1,-1,-1,285420,-1,-1,859563,-1,-1,779929,878388,674275,492538,-1,399059,-1,386531,-1,-1,521362,988834,271711,152864,-1,-1,-1,-1,451371,290504,11648,-1,-1,-1,-1,-1,760702,-1,321299,450667,352870,35570,578730,-1,-1,-1,385698,607687,-1,-1,734503,-1,187534,-1,627509,-1,-1,-1,-1,-1,784245,-1,871668,-1,-1,-1,107515,-1,-1,-1,511673,-1,653165,460885,455241,-1,485704,-1,-1,-1,-1,178433,-1,-1,-1,-1,330685,507181,763941,-1,952779,-1,110623,440772,-1,144318,466078,438865,-1,-1,-1,595103,206519,-1,-1,-1,-1,-1,28516,-1,543692,-1,-1,68142,-1,-1,625659,-1,452323,544754,282061,-1,715273,-1,-1,960003,459023,966885,629129,-1,-1,-1,578027,639955,-1,-1,-1,91356,-1,-1,-1,776843,482462,-1,-1,-1,530391,600018,423534,-1,38044,-1,179611,-1,-1,624093,158143,-1,406135,539648,59418,923390,-1,425563,-1,610846,142412,-1,443586,-1,-1,-1,-1,-1,407199,825328,232280,414997,835774,87369,821014,-1,642625,-1,-1,-1,126240,607132,-1,-1,-1,83150,980449,-1,-1,-1,994881,70186,437481,-1,-1,-1,-1,526131,304428,463640,431789,-1,828167,-1,883494,431588,839085,-1,-1,-1,-1,-1,121217,126073,-1,-1,918083,-1,-1,-1,-1,-1,627539,442592,-1,426851,327752,519553,-1,-1,826774,-1,308074,-1,773177,976885,-1,-1,-1,-1,891518,338580,215607,-1,-1,-1,-1,221178,-1,238513,922224,422005,-1,85612,-1,434083,609064,606631,-1,254512,77118,-1,565506,373389,995168,-1,-1,-1,-1,793788,968020,-1,-1,854319,-1,-1,484884,986897,-1,71391,736444,122098,34552,904662,947484,96705,-1,233674,69831,-1,524666,-1,325401,40659,501395,80156,-1,405977,934641,-1,713967,-1,-1,460631,-1,-1,281462,-1,-1,112539,-1,819848,75592,382949,148248,-1,498108,118923,53676,-1,433715,-1,-1,203977,-1,-1,427404,-1,249675,623911,307304,-1,-1,-1,-1,19668,432012,-1,-1,87525,-1,-1,-1,528330,564506,-1,510215,-1,-1,579656,846269,-1,-1,397434,103688,535404,-1,277571,-1,793035,-1,-1,-1,87941,779504,-1,216412,-1,755901,528431,-1,-1,-1,506649,111455,-1,-1,-1,695971,-1,952701,567240,-1,-1,-1,-1,-1,474852,643630,769742,31648,343162,-1,-1,273741,945886,225328,-1,-1,-1,-1,-1,-1,77847,-1,583851,-1,696170,-1,-1,877182,-1,612422,-1,-1,-1,-1,371015,910294,-1,-1,-1,-1,83654,-1,-1,782202,950524,-1,-1,929825,474150,156159,472884,-1,-1,221769,-1,606998,-1,769463,682747,440031,-1,649269,211031,513823,-1,504641,523146,-1,-1,41364,323993,47613,-1,507755,690966,-1,-1,651070,-1,535348,974132,658143,-1,633928,118854,-1,134518,-1,-1,-1,-1,752735,931656,925781,986247,64957,-1,-1,645735,-1,-1,513360,396623,687914,965421,-1,186831,-1,-1,-1,446905,-1,-1,703656,-1,-1,-1,329462,307852,892504,21956,-1,211197,268361,168605,643233,606367,218363,441933,553958,717087,-1,-1,503839,239375,-1,-1,813647,-1,838837,722062,952851,-1,-1,333308,907271,901566,-1,54494,-1,-1,260509,-1,-1,-1,198803,-1,716016,205413,-1,251100,-1,-1,964760,-1,368414,396955,-1,313530,939735,690331,792099,-1,721851,-1,632798,-1,214218,-1,747470,-1,-1,144895,471267,743964,14090,-1,-1,584210,610571,-1,-1,-1,498997,519647,353718,471583,-1,-1,-1,253552,322963,-1,236320,-1,-1,669762,-1,-1,574552,-1,617832,448449,736130,313926,321047,356050,358121,518756,-1,-1,-1,169217,755495,309545,541923,-1,-1,-1,-1,299509,-1,992967,840828,941786,56504,555712,280267,-1,709332,716621,331341,799855,630855,-1,343226,-1,123374,-1,-1,906094,568329,-1,-1,-1,-1,-1,-1,873383,-1,-1,619524,731915,-1,296688,468523,-1,-1,710196,-1,589360,644822,-1,-1,660797,494727,197507,803757,-1,740505,-1,-1,-1,-1,203376,714730,-1,-1,683044,-1,-1,-1,273193,11975,-1,-1,426294,839256,63511,-1,596433,499314,-1,-1,813785,200112,212536,915755,-1,249707,137107,987194,-1,-1,-1,177615,-1,-1,-1,-1,-1,88013,-1,-1,-1,-1,887889,-1,391365,647665,-1,293711,865489,570855,-1,575796,-1,316725,913481,-1,77836,-1,-1,-1,-1,-1,421478,-1,924366,541581,-1,688089,815462,-1,833511,545743,-1,208700,-1,238521,-1,628544,73027,180030,410860,-1,-1,-1,991432,451109,295941,-1,-1,-1,-1,-1,-1,-1,-1,-1,857934,211959,117961,975924,-1,921992,249570,866269,221642,666293,66891,-1,-1,-1,-1,210762,214967,36305,-1,731346,173479,-1,534780,-1,493400,-1,-1,-1,-1,-1,802902,-1,641557,-1,104876,-1,26193,260298,-1,585582,-1,269600,523599,-1,-1,-1,602158,343146,-1,-1,121630,215864,-1,-1,-1,-1,-1,884846,983811,-1,-1,-1,257204,873787,924036,973688,966400,-1,-1,332538,221864,652948,377164,625370,274217,-1,-1,7486,364168,-1,-1,-1,689539,248784,-1,-1,-1,-1,-1,-1,-1,517734,157752,652828,-1,110376,772822,924261,277867,728083,644984,622936,-1,565384,-1,550898,-1,731536,-1,859751,-1,-1,-1,-1,57615,-1,-1,-1,-1,436669,83151,798012,75003,661344,-1,38269,-1,-1,811868,-1,110371,691286,342237,2832,198314,946466,-1,545024,250491,37346,-1,-1,-1,13349,-1,924539,-1,129155,-1,-1,-1,-1,-1,-1,674930,16575,991485,906382,-1,102835,-1,-1,181866,-1,-1,764428,-1,-1,-1,725524,36669,-1,452543,-1,398865,-1,-1,-1,-1,863439,616259,956692,397189,344841,-1,574228,763277,-1,635652,-1,658321,-1,523227,-1,512605,750806,415013,-1,865771,-1,-1,-1,891460,-1,83833,484435,815149,-1,305583,774790,-1,-1,38991,-1,-1,-1,388439,824514,498591,-1,810589,-1,297079,18834,895387,214506,489742,-1,673390,-1,-1,678799,822306,-1,805597,451882,22203,-1,-1,-1,300686,836205,-1,-1,6903,-1,-1,-1,-1,-1,946724,-1,814661,-1,153105,742663,-1,399625,482362,844525,-1,894184,86164,-1,558508,201821,91885,649794,837224,502882,-1,-1,-1,-1,-1,-1,298733,155030,-1,157276,-1,557190,-1,436318,-1,-1,803376,-1,101235,474195,664908,529514,-1,-1,-1,-1,-1,642374,574963,139653,-1,-1,841806,144580,-1,632886,-1,706666,998483,-1,-1,-1,-1,-1,690519,718133,-1,355041,695145,-1,27421,401137,712435,844845,-1,391288,889475,-1,223451,262734,-1,-1,77686,-1,-1,607163,945325,15841,-1,799449,-1,62847,-1,-1,-1,461092,50153,636911,966239,65262,-1,418325,-1,-1,-1,376744,782083,-1,61491,-1,-1,-1,-1,-1,534452,-1,-1,686797,67120,605803,-1,-1,520370,-1,-1,-1,272201,333399,-1,842013,625853,247806,78917,422349,111947,-1,37541,-1,-1,-1,424068,491909,234759,-1,383005,-1,-1,17644,639123,-1,-1,147623,933244,-1,200806,979619,295706,-1,831849,930767,-1,235323,797506,440916,197835,916564,811156,-1,-1,966417,826888,-1,427722,-1,810823,918206,610687,191270,-1,-1,567846,500244,484340,-1,832560,33440,-1,-1,339538,-1,-1,-1,982910,-1,135572,487007,747081,-1,-1,-1,861968,446770,450394,-1,-1,-1,110546,860222,450373,-1,-1,412347,-1,301704,987367,-1,-1,73170,595621,-1,-1,-1,-1,185272,188597,-1,315949,-1,-1,492633,226898,783208,504948,130722,185402,-1,707688,-1,109950,-1,-1,-1,-1,411618,-1,-1,-1,-1,-1,-1,86442,-1,326664,-1,270885,-1,-1,-1,141852,-1,370287,-1,-1,745258,-1,-1,434341,560089,91404,-1,213569,-1,-1,229282,-1,623918,-1,-1,-1,913202,327420,-1,-1,84109,-1,405948,-1,-1,242293,-1,-1,88638,-1,813214,-1,50489,227172,890192,451523,-1,-1,-1,-1,772923,-1,-1,-1,-1,12172,580569,136526,-1,-1,-1,-1,636274,-1,-1,244861,-1,-1,-1,297716,51331,272345,351402,914756,749234,-1,-1,-1,9155,403680,768261,698600,-1,-1,-1,-1,19914,266121,-1,-1,-1,265117,95760,639374,-1,184385,960838,535554,997406,293063,-1,-1,-1,667042,-1,202601,458710,725697,243542,322434,-1,-1,-1,666208,-1,-1,-1,-1,359385,-1,16380,189143,-1,925968,526744,124204,414213,-1,-1,616797,400878,244191,-1,723343,-1,-1,-1,641316,-1,-1,-1,-1,118568,663740,681680,16869,334515,252007,326748,-1,-1,-1,-1,149791,725080,710141,603744,815217,248244,62817,460532,-1,522579,810547,-1,-1,-1,146042,-1,129116,-1,12032,-1,-1,-1,441837,30937,-1,614772,-1,-1,651778,737404,-1,-1,985552,-1,-1,525096,-1,-1,250440,631100,-1,-1,756514,-1,-1,-1,-1,948529,-1,-1,-1,-1,354446,-1,105780,122944,-1,754683,21200,988429,-1,70478,-1,697176,579452,857998,-1,185246,-1,-1,637043,29307,911604,918385,482398,-1,988050,554097,972346,947376,-1,-1,-1,-1,-1,-1,-1,-1,631298,-1,-1,390480,-1,-1,740666,-1,35432,-1,-1,633161,-1,77488,903403,-1,540463,945589,364004,930928,12849,948285,-1,-1,791199,-1,-1,148046,-1,64214,-1,-1,236240,249419,-1,-1,26108,240066,425029,-1,-1,-1,373264,216294,590678,-1,-1,-1,-1,967801,928089,442799,-1,-1,968614,551146,186375,-1,-1,-1,-1,-1,390850,135549,-1,-1,331331,-1,-1,-1,814641,-1,-1,515538,-1,-1,-1,69978,161287,-1,-1,-1,-1,-1,-1,-1,-1,95637,-1,-1,554455,635051,-1,150654,-1,-1,705616,-1,123131,-1,-1,-1,-1,-1,-1,-1,-1,-1,441412,21665,-1,-1,-1,-1,-1,-1,-1,805969,366895,-1,-1,260712,-1,307703,51418,-1,802289,923959,823406,110256,202924,-1,919379,585661,307113,-1,-1,-1,-1,234732,-1,85640,-1,625721,-1,-1,-1,-1,-1,-1,-1,-1,-1,303079,-1,782127,763683,-1,233258,126627,-1,-1,205560,208349,-1,-1,383922,-1,295219,546380,-1,902592,446050,323387,-1,-1,124526,-1,-1,-1,-1,453404,562074,-1,-1,556631,-1,704159,451294,-1,-1,-1,994847,-1,482980,631330,-1,669400,745795,246540,-1,-1,41233,425673,54516,-1,406044,-1,-1,-1,624413,797033,381884,956931,-1,-1,-1,713580,352967,-1,-1,629853,-1,-1,505071,937513,-1,728815,-1,659715,-1,-1,662496,212737,-1,-1,577644,381218,-1,-1,692298,-1,-1,-1,-1,-1,-1,-1,612343,-1,-1,-1,882494,-1,-1,-1,473243,-1,822043,-1,-1,884154,-1,-1,296253,-1,640350,-1,-1,228119,-1,-1,-1,-1,-1,-1,-1,761849,-1,867745,72780,-1,698742,-1,-1,-1,305744,-1,-1,-1,876095,-1,-1,-1,-1,-1,717163,808293,144750,-1,215593,-1,-1,634688,-1,-1,867049,-1,-1,-1,866554,180000,442861,819008,687244,-1,360884,-1,-1,-1,221957,723555,-1,-1,-1,831529,-1,653381,-1,916501,868365,19093,860126,18948,-1,823188,-1,713403,356805,104007,113001,85772,-1,-1,-1,-1,-1,-1,-1,139040,-1,670769,-1,747638,185872,-1,-1,805047,-1,-1,136087,487706,-1,799602,-1,-1,-1,661172,-1,-1,-1,-1,-1,528249,781992,-1,42329,-1,-1,-1,-1,48040,-1,-1,-1,-1,-1,-1,-1,669438,819393,-1,371548,-1,-1,259981,811465,207062,-1,627105,200352,108926,-1,702457,267560,-1,158114,-1,155693,-1,-1,-1,-1,-1,-1,385889,298383,758751,766223,-1,335022,-1,-1,1079,463013,-1,-1,-1,-1,-1,772291,-1,-1,82481,683627,-1,-1,787941,968765,-1,-1,139153,-1,27079,-1,-1,-1,535468,974807,-1,-1,-1,722344,-1,-1,922619,-1,29515,-1,-1,200708,-1,467120,-1,-1,-1,-1,634415,-1,773943,-1,-1,-1,-1,-1,-1,715802,372161,308879,744941,-1,293702,12154,534469,-1,694623,510842,252201,-1,937321,-1,-1,-1,-1,-1,-1,-1,514876,9909,720802,396417,-1,-1,-1,-1,-1,-1,-1,-1,530668,804956,303561,-1,902796,896412,-1,599906,826610,-1,-1,-1,663649,889647,-1,-1,-1,-1,-1,-1,143012,668098,852720,-1,137623,794425,-1,227304,353499,488888,-1,928498,963035,666835,-1,648608,399127,857853,-1,791852,-1,363637,559372,-1,912595,-1,37467,118497,990108,817506,-1,683451,-1,76112,-1,101259,-1,665957,452948,40804,-1,269026,136821,279952,-1,87718,494869,-1,-1,-1,-1,-1,259983,28687,324729,-1,-1,-1,539509,343802,-1,278297,149495,87393,670649,-1,-1,103556,-1,309753,-1,938208,-1,973138,143557,-1,-1,139955,305135,-1,130526,-1,897092,22055,-1,570479,-1,519787,-1,76554,-1,2607,746546,833378,-1,-1,144843,-1,-1,-1,265419,-1,427166,-1,900654,486382,-1,-1,-1,-1,-1,-1,-1,-1,-1,457765,-1,794062,-1,-1,-1,-1,807154,-1,-1,-1,-1,797324,732675,-1,-1,972368,-1,-1,-1,570576,356349,-1,572143,626025,39654,255404,-1,-1,16708,30387,-1,-1,380782,-1,-1,-1,205879,-1,496737,483444,-1,-1,-1,630686,-1,453206,-1,448415,-1,911508,262150,783375,255299,-1,-1,366566,-1,407616,462123,-1,-1,443189,-1,-1,-1,-1,165705,980230,894379,40427,-1,69166,-1,932206,-1,462786,-1,276068,213027,-1,-1,379023,-1,129107,64770,-1,-1,-1,-1,-1,386856,806448,477770,154724,636773,-1,-1,-1,-1,-1,-1,107781,669530,591813,-1,-1,-1,-1,214978,101084,351280,-1,828159,-1,957465,-1,8305,530324,-1,876250,547193,-1,-1,826567,123520,617893,242539,-1,962047,261023,65466,-1,-1,-1,-1,-1,53498,124928,-1,-1,807343,-1,765826,961646,416922,874743,365409,-1,104205,78070,765792,566591,622915,-1,964225,614603,777799,-1,-1,54760,-1,354682,445206,492948,109228,-1,-1,-1,-1,635344,868409,-1,-1,-1,971260,352316,478151,851243,771385,-1,-1,963084,-1,892563,-1,539777,-1,-1,-1,-1,-1,-1,-1,-1,287997,-1,923715,633520,-1,-1,-1,55696,483539,436225,-1,835492,-1,-1,396323,-1,718137,92732,227767,416003,-1,-1,-1,820874,467274,-1,-1,965994,-1,-1,-1,437443,561570,-1,-1,-1,-1,252612,-1,-1,561056,7766,-1,701244,186814,689586,-1,-1,-1,-1,-1,-1,-1,624193,-1,-1,824129,750701,757884,45796,973626,-1,949102,-1,939429,572348,276130,-1,452427,-1,-1,64227,-1,-1,-1,204922,-1,83660,-1,-1,5756,-1,-1,502593,-1,-1,-1,169876,440385,-1,429501,-1,808041,567092,-1,-1,-1,723487,-1,-1,-1,72966,-1,-1,-1,-1,-1,474231,289083,-1,669788,-1,607265,-1,-1,-1,143290,-1,-1,439558,-1,-1,16856,32066,56330,-1,32437,461654,126842,704959,349014,786006,716632,-1,-1,-1,424118,-1,-1,828047,992290,-1,-1,-1,-1,342415,-1,255851,-1,463321,-1,13858,604578,619089,590359,174741,193005,177790,739638,43019,773656,-1,-1,621320,-1,667514,104166,141122,609105,550863,858401,191230,-1,-1,571,833990,941753,8950,-1,-1,-1,167163,-1,-1,-1,947166,618299,-1,121778,413247,-1,-1,776554,-1,373414,-1,-1,242709,78035,-1,-1,-1,-1,324121,-1,752921,419887,634466,-1,-1,-1,-1,382452,-1,901783,817856,190991,123776,489105,443025,-1,-1,986588,-1,-1,753339,-1,-1,179328,904771,-1,-1,793398,764574,972917,914230,-1,512932,984846,-1,-1,-1,713227,-1,-1,126350,409110,583617,-1,-1,-1,-1,-1,919976,-1,901553,-1,-1,740325,-1,-1,300526,557541,-1,267252,936709,-1,-1,-1,-1,591285,-1,571097,-1,-1,-1,-1,-1,-1,580720,704854,-1,130489,-1,844121,-1,-1,908898,706497,-1,284200,-1,-1,189742,454377,258808,-1,85104,-1,677626,312173,786237,-1,816465,-1,329413,667482,513022,-1,-1,634366,450584,499683,941803,198795,650238,-1,786940,-1,-1,378261,991799,182739,710074,570596,180052,-1,-1,-1,971306,-1,-1,-1,396570,-1,-1,850778,-1,501796,-1,-1,441764,288848,513517,935121,-1,-1,-1,645228,-1,-1,-1,13741,340751,27332,182852,163544,118697,-1,398976,46657,-1,125362,-1,-1,305319,-1,691979,591593,-1,-1,946784,-1,277043,-1,492594,668,-1,345241,831161,819055,448710,-1,246713,-1,-1,-1,839980,-1,-1,361277,308531,788807,-1,655802,103031,-1,347566,-1,781818,-1,-1,-1,-1,-1,425691,-1,928692,916721,-1,-1,-1,-1,736480,-1,-1,-1,-1,315081,320680,980419,-1,-1,-1,501097,834899,-1,696120,376518,293121,978060,387290,653680,765230,-1,240407,-1,-1,-1,-1,-1,-1,-1,992615,-1,-1,-1,6068,636973,-1,-1,119610,-1,-1,958870,831517,5216,196622,-1,-1,777760,830636,-1,-1,-1,-1,501190,19622,-1,28977,-1,-1,-1,-1,182117,384035,-1,368878,154570,-1,-1,-1,-1,974594,-1,984743,-1,-1,366993,965095,-1,-1,-1,550805,406755,-1,490983,-1,-1,-1,364030,-1,956835,711987,-1,426130,227330,539234,-1,-1,-1,243173,-1,69991,926460,629791,-1,-1,-1,479753,-1,374498,-1,840220,-1,226482,235777,-1,494525,-1,-1,-1,336311,309969,679775,-1,427277,-1,165361,-1,714883,669463,782126,-1,315128,617777,394924,-1,-1,-1,-1,-1,917581,612591,558476,-1,490734,-1,-1,181294,752366,-1,-1,3443,778842,571634,-1,-1,-1,940809,268462,-1,-1,727422,62097,990985,834746,-1,366036,-1,-1,473838,-1,782453,-1,-1,323413,142552,-1,674545,378398,723147,-1,-1,71997,447103,-1,-1,895604,63987,477091,-1,839457,182881,165488,560121,624585,561707,352134,6079,498402,940929,-1,-1,435620,940286,-1,573433,283414,756317,-1,203975,735806,-1,-1,660266,-1,769826,-1,429140,52422,138667,-1,-1,240885,-1,-1,-1,-1,-1,-1,926045,-1,25633,-1,-1,80136,183009,593649,886515,-1,-1,-1,570295,922277,-1,316773,-1,883845,278023,-1,-1,564313,-1,-1,806303,-1,975555,731398,-1,912765,-1,-1,-1,335806,-1,-1,128851,325542,445718,22834,125625,-1,797442,-1,-1,-1,654282,24740,-1,233376,-1,490701,71303,-1,497410,650711,643354,-1,763473,572514,-1,135144,-1,803446,799092,-1,887991,126672,-1,333604,-1,45758,803172,587233,449940,-1,192468,-1,235799,92178,-1,-1,-1,-1,316548,267101,972213,255405,-1,534398,-1,-1,-1,948666,-1,393295,34563,-1,777459,501598,-1,-1,163097,996502,959611,99496,-1,16096,-1,821939,721632,-1,-1,-1,573670,38549,901188,941639,391808,-1,569493,-1,-1,-1,-1,933309,339749,-1,-1,451578,-1,336941,-1,-1,627465,-1,-1,-1,-1,401327,650220,222076,656711,-1,896166,-1,-1,247455,-1,-1,425442,-1,315785,106713,825165,364968,-1,556526,-1,950567,-1,269852,-1,-1,945212,-1,837585,-1,-1,-1,-1,67579,-1,-1,727946,936054,-1,-1,118022,-1,-1,911064,-1,-1,89088,-1,206165,-1,-1,-1,-1,633092,983639,530708,114076,-1,484794,402078,-1,-1,-1,-1,-1,600964,-1,-1,838571,-1,519842,814088,-1,-1,-1,5498,-1,-1,96843,495111,-1,129647,-1,-1,-1,-1,-1,124572,-1,88247,601436,644580,251963,-1,-1,168249,-1,-1,-1,-1,-1,434581,763186,-1,688549,274085,402363,442449,-1,-1,-1,297293,380705,79971,-1,-1,159657,527238,490030,292749,507653,331030,897590,-1,-1,57099,72984,609746,962971,-1,68397,403440,-1,-1,170406,-1,-1,-1,717450,354015,275077,-1,-1,-1,442727,998552,-1,981925,92630,-1,794479,-1,-1,892287,35694,-1,-1,-1,-1,288890,-1,-1,-1,-1,-1,-1,-1,-1,-1,81864,610262,785353,-1,200583,-1,-1,857377,294922,102302,879415,-1,-1,622631,-1,-1,-1,-1,591307,-1,309677,-1,361581,-1,-1,734521,-1,-1,-1,743885,-1,-1,345863,268671,-1,-1,-1,242669,725509,954739,343915,910557,383956,290675,-1,971975,533700,742423,382158,-1,-1,208915,922899,-1,723565,634578,-1,526868,774782,361736,361549,918134,871241,602806,-1,451713,-1,-1,363803,-1,894310,959733,-1,915294,136776,-1,149363,-1,-1,240682,458559,-1,-1,-1,940354,-1,-1,-1,543314,315913,984955,-1,665566,-1,-1,635958,-1,157406,-1,113332,-1,732814,-1,978883,581019,481178,618162,-1,307575,868813,-1,640778,-1,333218,654942,-1,-1,-1,-1,572629,-1,396837,-1,-1,994607,-1,540450,887118,-1,717337,-1,-1,-1,-1,-1,-1,-1,315246,-1,501381,715763,250007,425227,33398,570751,189050,-1,-1,71274,-1,943374,-1,28896,88181,152720,824009,-1,91805,310627,465002,-1,888449,666677,476071,207809,106594,688424,566834,525342,-1,-1,31884,-1,361311,573858,-1,-1,195451,253419,-1,-1,275572,271042,-1,-1,29621,203420,693362,-1,402586,-1,58941,512692,-1,408178,-1,172093,-1,231968,329285,-1,643874,-1,541867,615475,746504,913373,799972,880220,-1,-1,445646,-1,-1,-1,199337,-1,-1,-1,-1,93232,-1,-1,-1,513894,-1,428976,-1,438056,220662,-1,-1,57291,-1,718797,-1,-1,-1,-1,994789,-1,-1,-1,512153,-1,249638,455846,547722,-1,-1,272483,-1,-1,-1,758636,6648,-1,-1,868187,594620,823573,-1,575877,934687,-1,-1,521202,-1,447376,-1,237997,533282,-1,996453,15303,-1,-1,77711,736847,719340,-1,-1,-1,-1,-1,147121,759047,-1,-1,-1,698728,-1,341706,786238,-1,878703,-1,-1,-1,75296,-1,795233,577444,142598,648413,535245,-1,-1,558474,820068,-1,973491,-1,-1,-1,689358,199453,-1,-1,91680,-1,-1,-1,-1,-1,116104,-1,931199,-1,-1,309333,522981,-1,-1,-1,-1,634110,124012,-1,422022,794054,982223,502646,572260,-1,-1,97945,-1,168682,443249,364272,795218,620837,-1,508163,-1,623442,-1,552411,873473,-1,-1,585525,-1,-1,62301,-1,-1,-1,-1,-1,-1,-1,-1,240653,-1,-1,-1,-1,261681,69294,-1,-1,797141,-1,-1,-1,967083,-1,466044,-1,11104,-1,283416,-1,-1,-1,-1,445978,-1,485342,110413,182523,-1,-1,-1,-1,455115,-1,-1,-1,487017,-1,-1,164332,-1,-1,-1,-1,-1,-1,506141,391637,-1,-1,611991,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,784997,901477,-1,852514,198039,461490,-1,245576,-1,-1,-1,909100,750031,199918,965140,-1,-1,796254,243150,667230,-1,280282,44332,975213,-1,355739,-1,-1,750324,-1,-1,979258,-1,-1,30440,310831,-1,845576,-1,191841,732037,401048,-1,-1,132409,-1,-1,-1,778401,428057,519916,464871,-1,527405,-1,-1,244401,355928,759314,-1,-1,532954,509509,777553,916519,-1,-1,150004,602795,-1,430209,447777,768182,861091,178575,-1,-1,20675,584676,-1,709406,685028,332010,717346,91968,-1,-1,-1,638802,-1,368582,968195,917716,-1,318834,324740,-1,83985,-1,-1,752657,411426,672264,483409,-1,615219,25551,7764,215050,-1,-1,-1,944483,274119,-1,-1,870416,-1,-1,-1,-1,-1,526090,452503,-1,708261,361035,728000,659728,-1,-1,-1,375070,740169,866375,420257,103114,-1,-1,508474,-1,-1,-1,202309,-1,635029,-1,116781,-1,788860,-1,241794,-1,463383,85049,-1,346311,320488,369756,499340,561566,894266,587529,718220,290709,-1,724389,276543,-1,868829,-1,790328,571502,-1,361434,-1,755188,-1,-1,191479,523290,991173,-1,906013,-1,-1,-1,657781,277654,-1,207661,350276,-1,-1,33078,522346,781606,-1,987169,220067,308237,-1,-1,681783,801703,-1,-1,-1,-1,-1,-1,408022,26533,-1,762858,-1,316536,-1,785836,976904,-1,555838,258315,545408,658172,837119,375306,-1,-1,673087,729263,947278,-1,27476,-1,-1,397050,471738,-1,500625,-1,-1,720017,736317,778831,-1,-1,-1,753716,913402,-1,713782,-1,-1,-1,212676,-1,-1,-1,-1,-1,-1,752261,-1,159968,293289,734271,-1,885221,-1,65441,-1,-1,228015,-1,-1,55143,-1,689715,-1,621466,558577,365464,526009,377298,885943,303977,144100,648993,-1,661803,-1,269104,441737,-1,491254,406409,-1,-1,498940,119494,-1,324832,-1,790346,-1,-1,-1,-1,88232,80047,-1,19760,-1,160780,833645,789953,-1,-1,-1,-1,829919,-1,-1,945959,-1,-1,-1,716220,652822,736072,-1,320111,24656,-1,742440,942168,-1,-1,697469,434004,509075,251832,537899,945268,815398,290411,-1,920674,230101,-1,-1,-1,-1,-1,226871,9615,415322,-1,853766,-1,-1,-1,67391,-1,-1,464104,-1,514469,323767,-1,941828,-1,826164,-1,924242,785692,160309,-1,238714,414225,38139,-1,-1,-1,-1,-1,536358,-1,-1,93988,585426,-1,-1,-1,-1,-1,959788,-1,966078,-1,-1,-1,509876,214938,-1,-1,153989,-1,332377,184183,-1,243036,317411,270985,163390,944748,358104,-1,710,-1,574627,223614,-1,157296,-1,705221,825564,-1,633909,-1,-1,232783,-1,889263,135985,-1,196481,-1,219038,-1,-1,-1,262199,44317,-1,-1,-1,-1,-1,229174,363367,-1,559230,-1,282413,-1,-1,-1,-1,-1,1896,-1,-1,999774,399331,287902,345997,-1,-1,-1,271753,185579,496295,672694,-1,-1,19467,-1,-1,590075,494208,-1,-1,-1,495509,-1,-1,-1,-1,-1,810026,492826,-1,-1,327599,921935,553950,-1,-1,998776,-1,141682,-1,-1,-1,659619,-1,-1,789599,-1,-1,-1,-1,-1,155318,-1,-1,612663,609668,200712,457832,20795,298695,425526,607391,421872,764185,-1,-1,-1,-1,-1,457751,775204,-1,-1,583659,-1,619724,91277,-1,558952,546911,-1,-1,-1,845975,-1,69198,-1,965046,457619,-1,592224,969351,435817,-1,777905,-1,-1,-1,804491,-1,944529,290898,-1,-1,-1,-1,319975,685969,-1,-1,-1,802895,708083,112454,824066,-1,-1,602783,907041,-1,317471,-1,918024,-1,437324,947246,136225,-1,527562,77666,825112,508701,-1,121808,-1,-1,-1,911465,834282,260900,746843,246832,182919,-1,-1,527320,-1,-1,417157,-1,-1,236574,-1,697729,-1,-1,191549,868747,312226,50069,74914,-1,-1,426576,-1,-1,217346,2175,-1,938139,338170,604652,249874,-1,940984,-1,530246,-1,-1,-1,54337,832408,713604,832906,931828,931252,103879,-1,-1,-1,-1,908014,922360,-1,296790,-1,-1,117412,-1,-1,837286,996840,665004,-1,-1,991287,930114,-1,880001,892192,-1,578318,708573,-1,-1,722861,-1,52062,-1,739127,-1,-1,-1,658578,-1,211205,-1,761796,182105,-1,-1,-1,299636,-1,-1,-1,-1,-1,321839,968412,-1,358886,-1,120746,463100,-1,-1,344821,-1,552989,-1,666278,393607,-1,-1,-1,337775,-1,-1,-1,-1,-1,-1,541193,-1,-1,157761,-1,-1,1404,-1,928533,579734,586524,350837,105147,207865,691205,131073,-1,-1,438200,-1,-1,504614,652117,-1,607666,365009,520109,538551,905481,-1,-1,-1,635164,-1,777400,307815,-1,-1,462363,449384,67865,730766,50865,327379,-1,347675,-1,51457,-1,-1,903314,583857,255648,-1,-1,-1,95985,-1,-1,535870,397519,471517,437767,-1,664701,-1,8897,-1,-1,714327,-1,192732,-1,328868,-1,-1,16094,661713,-1,-1,787003,235630,-1,-1,949155,-1,-1,354058,728871,-1,913150,455032,-1,-1,724233,144614,-1,-1,4868,-1,240615,841154,769505,-1,395068,-1,-1,-1,-1,-1,268691,719421,-1,820046,748519,-1,-1,180283,-1,-1,-1,-1,-1,262229,-1,-1,237004,8199,-1,131085,-1,655670,345477,-1,356779,-1,-1,557363,-1,-1,-1,798833,195943,455267,-1,254191,-1,991601,993489,905180,-1,-1,-1,854070,119862,-1,-1,-1,-1,-1,-1,167640,-1,-1,98401,-1,-1,682378,-1,413102,-1,-1,-1,-1,-1,-1,956553,-1,859077,286382,-1,-1,-1,100658,265808,-1,1319,-1,211901,889357,-1,282353,-1,697304,571387,42470,-1,383157,136739,-1,939869,183927,737489,-1,-1,531302,405578,-1,-1,286965,354943,201755,843314,-1,281104,956469,-1,-1,-1,-1,393789,-1,278344,-1,-1,764631,611525,-1,-1,692191,923140,240079,-1,750840,329705,-1,-1,375731,-1,117225,802480,-1,196927,-1,-1,-1,581824,-1,691427,-1,112968,259642,498694,999037,524551,-1,-1,354272,-1,-1,945144,337158,666886,-1,687311,561830,125163,991564,552194,126432,-1,106948,456252,203419,-1,526247,815762,-1,-1,978790,637690,568822,-1,-1,738250,-1,448089,167664,-1,823008,-1,51760,-1,445280,-1,-1,-1,-1,880720,449688,-1,-1,-1,587163,-1,-1,-1,568039,732759,626998,986853,160837,140900,-1,-1,355638,-1,657623,-1,344127,-1,-1,-1,471269,-1,11106,262041,-1,60727,499688,-1,-1,-1,481766,959468,306610,-1,-1,-1,-1,262490,907902,756056,214479,109047,-1,848889,-1,-1,650475,157694,829869,754640,-1,-1,-1,538224,-1,-1,-1,414088,603524,650044,539275,440358,-1,-1,-1,-1,-1,-1,-1,30637,-1,420551,-1,-1,-1,895468,-1,-1,255288,-1,409382,-1,354004,112862,115302,44691,581170,-1,-1,946368,3770,-1,857334,-1,-1,-1,-1,-1,-1,507053,406029,-1,-1,-1,770076,-1,-1,46901,-1,-1,325125,227657,-1,709848,306574,-1,-1,573965,-1,-1,-1,916495,-1,833483,-1,347343,-1,-1,-1,-1,266628,660852,128358,7968,-1,596689,-1,-1,881994,979077,504453,365167,32932,-1,733184,102424,-1,-1,-1,-1,-1,421662,-1,375713,91653,565529,511471,158449,-1,722750,665704,-1,-1,-1,531059,800224,297464,-1,864787,186820,254636,744088,-1,272905,-1,-1,-1,947397,45155,87949,104769,21714,654230,194822,591424,-1,142169,940383,-1,641849,735871,-1,992078,-1,-1,-1,976496,543512,454851,-1,988292,51814,394096,128754,311474,319481,422930,-1,69439,-1,-1,849787,624544,123675,-1,-1,992589,442575,-1,972193,-1,-1,997302,-1,469419,89896,267402,684340,-1,-1,807996,580330,-1,501877,-1,-1,447604,-1,605363,199588,-1,631375,651585,-1,-1,-1,-1,642359,-1,538501,-1,807356,413330,53956,-1,224901,784266,79939,-1,33134,-1,39292,27741,-1,-1,800827,-1,-1,-1,-1,-1,111789,525157,586412,-1,122865,-1,749024,-1,-1,-1,-1,-1,-1,-1,-1,-1,621526,-1,495431,-1,71265,228592,596741,-1,356551,-1,-1,968142,-1,937855,-1,962230,-1,-1,260561,242062,448029,981163,-1,303686,-1,-1,124882,568842,-1,-1,167173,-1,-1,811182,270815,204225,-1,-1,-1,-1,517094,575868,390297,-1,-1,-1,575775,-1,-1,324012,-1,855788,-1,-1,409379,873187,-1,-1,755151,-1,196578,201694,70345,275256,-1,79638,173477,883091,512260,-1,-1,366995,-1,-1,95150,113081,-1,138658,230067,155748,968410,546715,827890,394315,-1,269690,410272,506309,-1,-1,967212,-1,428130,419996,-1,529737,802537,842735,-1,480738,617106,-1,986752,746920,620277,-1,-1,-1,-1,576507,-1,-1,561089,-1,-1,-1,-1,-1,-1,-1,989345,-1,932378,773696,495999,295930,-1,-1,288345,-1,-1,987962,-1,-1,669846,-1,240621,145036,675328,-1,354989,312642,-1,-1,117932,381159,-1,633757,-1,-1,847938,784541,303283,52137,336321,987014,8619,641026,-1,558823,-1,997250,-1,-1,537844,-1,-1,-1,-1,640795,-1,-1,141352,219150,-1,-1,799679,-1,-1,-1,-1,916207,-1,20917,26612,334231,-1,-1,-1,977690,977164,161367,-1,813997,575443,-1,-1,-1,631491,-1,136358,358536,-1,214025,-1,-1,-1,-1,810353,862778,-1,684998,-1,-1,285718,373402,-1,-1,-1,532723,934099,324294,985812,726543,-1,-1,-1,760019,-1,52646,491048,-1,-1,-1,-1,-1,-1,-1,-1,976991,-1,-1,239619,951503,-1,-1,771504,-1,-1,-1,-1,-1,-1,-1,810782,142667,-1,381067,-1,279134,865141,240531,-1,-1,-1,-1,742934,45955,-1,-1,849458,169605,-1,150419,-1,124600,-1,931096,-1,-1,632726,-1,-1,-1,-1,-1,-1,-1,23364,-1,-1,243531,546515,745014,127756,433198,-1,-1,-1,-1,591840,-1,806562,227154,292725,955882,384045,159969,-1,733894,708307,426899,-1,801720,-1,-1,-1,685891,-1,-1,533677,-1,-1,-1,424825,838473,631815,-1,49196,818939,-1,785167,-1,878150,-1,-1,103751,-1,556713,691519,-1,407980,-1,135091,367047,387868,-1,2310,753902,795773,286015,283915,-1,-1,-1,393343,-1,106465,337261,-1,117118,992752,-1,79013,575828,-1,438686,408299,-1,440095,865627,912647,680247,803467,-1,-1,859583,106137,-1,689585,-1,564981,600683,677740,426335,-1,140157,416140,651702,-1,954799,358904,-1,-1,-1,-1,-1,706974,-1,-1,-1,457312,-1,586203,890970,-1,-1,338091,-1,-1,-1,-1,-1,-1,-1,-1,869125,742068,781065,-1,-1,-1,-1,-1,-1,-1,-1,641843,-1,663311,28878,701119,-1,-1,-1,287777,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,765561,454337,86125,319821,64349,337002,580912,352710,-1,-1,911618,-1,26982,-1,877619,823986,257712,590775,-1,-1,429330,-1,-1,-1,-1,-1,-1,362533,-1,-1,-1,-1,118029,-1,975036,-1,826966,-1,658081,-1,508838,812629,-1,48151,746381,161647,-1,-1,-1,449043,303357,983454,920932,202687,383478,-1,-1,747301,-1,16242,-1,542950,-1,-1,594006,-1,-1,-1,607406,220219,364079,-1,-1,496321,-1,131485,566684,610829,389466,-1,309774,-1,-1,-1,873445,-1,-1,822642,-1,-1,53683,930255,-1,875463,293361,-1,957005,666947,-1,627454,-1,-1,-1,-1,-1,-1,-1,667940,554677,157390,-1,-1,544492,-1,514802,330294,542963,750879,-1,-1,-1,-1,-1,686762,621583,-1,-1,326131,-1,-1,-1,-1,254695,941037,194868,319658,636584,-1,-1,-1,124524,73447,529313,-1,887705,131162,357758,49953,-1,-1,-1,289143,241426,-1,-1,653389,304917,-1,-1,102889,-1,506232,-1,-1,-1,-1,-1,-1,315835,985717,85975,-1,-1,-1,-1,562321,961387,-1,-1,-1,-1,67799,-1,475953,-1,591306,551574,57874,-1,259877,-1,-1,-1,-1,572205,-1,419108,-1,-1,-1,-1,982584,-1,-1,849870,-1,-1,-1,-1,397,-1,785870,855522,-1,634717,-1,-1,106618,67724,649366,850496,849345,972623,850587,139210,-1,-1,-1,346814,617975,-1,467664,-1,-1,703448,-1,-1,-1,-1,319350,125534,-1,-1,-1,745683,-1,-1,-1,850453,944471,-1,-1,231285,-1,-1,-1,-1,976429,-1,-1,-1,337098,-1,-1,306101,724614,-1,128105,-1,857104,-1,-1,610327,-1,-1,-1,-1,-1,-1,469698,183032,-1,-1,69090,800916,72633,-1,650632,-1,619041,-1,-1,769062,-1,643032,634519,-1,344391,382271,356706,867613,-1,431205,237166,384627,323090,744123,637416,-1,-1,-1,646081,-1,828871,-1,-1,-1,-1,827867,-1,222201,887640,968695,862473,-1,771322,-1,-1,-1,805765,323624,557086,934544,-1,700608,833683,-1,374846,298449,-1,65128,-1,-1,671314,84924,-1,-1,-1,331437,-1,-1,-1,-1,-1,425551,724543,-1,991786,-1,-1,978339,-1,-1,277386,204577,65762,669335,34047,331778,-1,-1,937925,-1,386873,694632,-1,-1,742623,286428,-1,894274,948536,-1,-1,375800,806991,-1,-1,-1,789450,-1,-1,-1,585727,299318,-1,664468,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,517881,726303,438093,-1,-1,948403,237312,-1,-1,-1,-1,778189,-1,296457,-1,-1,141505,-1,739457,-1,-1,-1,271556,920392,-1,114102,-1,-1,622771,-1,-1,-1,-1,272753,-1,934836,-1,-1,532946,-1,47491,-1,746766,-1,-1,284229,558270,-1,557105,264837,736876,207876,321826,625871,928147,-1,-1,-1,812572,-1,35271,-1,473315,964839,168366,552732,771244,351492,-1,-1,221815,-1,-1,836641,-1,-1,-1,486263,-1,806400,574974,-1,501415,779998,33829,333311,956234,402303,540405,55363,-1,-1,289070,-1,728635,96468,-1,907932,-1,717598,628343,815046,883643,398427,912206,-1,369203,980859,829180,-1,-1,612471,-1,793781,-1,713033,-1,315583,119299,917257,-1,-1,770348,723267,-1,-1,62241,635429,618525,-1,594220,-1,382015,67430,562504,253689,103518,9970,-1,-1,543759,-1,490333,-1,113893,397194,-1,628114,-1,959029,276410,808684,-1,-1,-1,-1,675958,-1,224325,987267,583540,116561,940091,23628,-1,544320,-1,-1,947503,-1,884552,550263,-1,-1,214926,546358,605468,-1,-1,720561,-1,538625,201680,743747,928688,-1,930260,-1,715330,401734,-1,-1,717995,12280,-1,7463,-1,490310,577828,605357,-1,391410,-1,-1,568203,597703,720184,9745,-1,-1,139942,-1,188440,686413,-1,317810,-1,-1,941149,597669,-1,-1,730957,325402,663781,-1,-1,340532,546719,221172,-1,-1,-1,-1,288128,737659,-1,-1,-1,-1,317648,-1,-1,28642,372458,63613,71550,-1,241130,868622,-1,-1,-1,-1,757138,-1,224791,61176,340178,-1,334652,687937,-1,90823,-1,634611,318354,-1,-1,30021,427367,139572,-1,-1,646398,129410,-1,235409,801369,541846,569758,107970,-1,633754,-1,52104,-1,919630,-1,-1,633907,-1,262399,532262,120341,-1,234411,-1,-1,-1,-1,-1,429035,-1,910522,-1,165753,-1,-1,-1,913708,364460,-1,217269,-1,-1,586542,143348,-1,-1,-1,353124,-1,951379,-1,934278,-1,-1,717867,-1,15129,-1,737014,-1,-1,248148,-1,-1,-1,-1,523293,-1,528567,548040,-1,7264,-1,483961,-1,-1,616073,-1,828389,909743,305484,-1,-1,-1,-1,952382,835445,863087,607557,434916,553219,353590,-1,-1,133924,839321,-1,475698,605811,537276,-1,6379,-1,611301,-1,-1,465980,-1,5098,784187,-1,-1,954427,450842,-1,522387,-1,473483,253559,227592,119964,-1,176555,688650,-1,641400,-1,219389,627843,-1,871365,-1,798205,134360,206712,-1,721523,470554,981881,-1,279286,612417,567170,360239,-1,252991,342365,-1,-1,-1,-1,-1,698133,-1,432844,730014,-1,866860,109845,368313,456091,621616,666194,-1,-1,894464,527464,376077,-1,-1,468652,-1,965429,708556,972697,-1,-1,522912,-1,-1,28597,-1,-1,-1,98194,-1,-1,685179,305683,500623,-1,-1,-1,-1,151332,946615,390353,-1,229381,-1,665280,-1,303654,984640,-1,-1,-1,637554,280662,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,226057,504883,-1,-1,-1,-1,654478,-1,800258,156473,-1,153578,-1,-1,-1,415920,766650,-1,600188,-1,-1,862361,13816,-1,238904,-1,560022,-1,731113,66666,-1,822908,526785,-1,-1,612527,-1,-1,-1,665764,699559,206981,-1,640843,811533,-1,337477,674092,-1,884928,-1,58109,-1,-1,-1,-1,-1,511695,-1,696070,406352,-1,992389,-1,888720,988967,-1,77551,581399,34014,-1,-1,-1,-1,-1,-1,-1,364939,117504,213362,-1,896494,463363,978075,-1,541951,-1,-1,387252,-1,-1,870262,-1,-1,-1,154598,884591,-1,169924,310292,-1,278949,690893,290888,-1,611705,353387,167727,994029,102593,-1,919151,689800,778484,572783,884175,392303,391995,59520,724317,420255,-1,702112,-1,-1,-1,-1,833803,-1,499476,112759,427617,-1,-1,-1,-1,16448,-1,255367,892966,-1,-1,-1,336812,-1,-1,-1,-1,713948,758527,341595,-1,-1,-1,-1,132552,-1,-1,201060,963641,386183,-1,-1,-1,-1,-1,-1,-1,223408,443832,697107,305352,354917,-1,-1,228007,930122,-1,553017,813483,572365,-1,614172,-1,841527,-1,670628,-1,655642,36269,805252,360893,961481,400220,-1,-1,-1,-1,-1,-1,937097,358743,135126,424212,-1,462011,-1,906398,-1,6798,-1,656478,-1,80761,-1,-1,-1,369658,365230,-1,964178,100324,780143,-1,-1,-1,-1,126671,-1,335068,-1,425539,-1,290728,-1,-1,158277,615150,467757,-1,132728,796951,-1,495968,-1,-1,485105,-1,-1,-1,-1,-1,-1,-1,-1,747287,-1,-1,-1,-1,-1,-1,-1,-1,-1,237525,359688,86674,227162,-1,865590,-1,909726,656203,344083,538941,-1,828943,-1,-1,-1,541829,137079,-1,836715,-1,-1,-1,676999,-1,289002,123356,339528,-1,-1,599091,-1,371889,-1,-1,338005,-1,774483,903634,650050,-1,-1,-1,-1,582987,-1,-1,604806,884056,791979,105354,889793,-1,-1,17053,502992,-1,-1,46694,-1,-1,-1,-1,16092,-1,272908,-1,-1,-1,436193,172376,-1,480324,809972,606540,981368,-1,-1,-1,761793,897069,120879,-1,141358,11930,-1,90251,-1,-1,302422,265783,-1,695103,98860,-1,951761,562070,689945,-1,-1,-1,375684,-1,-1,-1,-1,-1,-1,385415,-1,-1,-1,-1,519095,788229,-1,-1,-1,851916,-1,-1,-1,897226,-1,-1,24238,-1,135872,374735,339637,-1,-1,726547,-1,-1,-1,-1,700854,-1,-1,824285,540718,588222,980880,334679,-1,277483,810291,-1,-1,750322,45886,-1,786504,859618,-1,-1,694709,418414,801038,809857,420435,810950,901359,-1,-1,-1,511911,200611,618220,-1,-1,-1,457091,-1,168504,-1,535331,870228,-1,-1,88022,-1,916329,872864,-1,50755,-1,452037,-1,612676,847590,301698,199061,-1,-1,616023,14981,359201,-1,-1,-1,-1,396856,-1,528672,-1,-1,708329,24114,871200,-1,659902,-1,-1,135317,182666,647183,-1,-1,786294,-1,-1,812984,-1,-1,-1,-1,799950,110979,-1,-1,-1,-1,-1,-1,-1,-1,546271,77596,750465,276430,-1,-1,269485,-1,691741,-1,789689,545104,334295,639642,-1,740692,-1,209154,466739,92100,-1,-1,92081,-1,884417,925334,-1,616544,229580,838053,-1,917986,644891,-1,23119,241868,-1,809361,-1,-1,-1,-1,-1,643567,182283,-1,629864,41267,-1,-1,212262,661366,-1,-1,-1,771534,907196,-1,-1,873567,471924,-1,-1,-1,357896,-1,-1,-1,-1,771320,-1,828716,-1,-1,-1,451015,-1,-1,-1,-1,-1,878890,-1,337202,204596,69740,-1,-1,-1,10108,998658,48813,235916,-1,754111,103669,-1,-1,195043,802985,707743,-1,-1,-1,-1,675120,-1,507050,948430,-1,298081,857476,-1,-1,92311,-1,-1,912376,671981,-1,-1,-1,285044,-1,-1,-1,-1,441154,-1,995518,-1,-1,-1,126063,-1,-1,29151,-1,119108,630206,-1,276141,192033,-1,-1,-1,-1,-1,23929,-1,445143,305809,-1,17567,-1,-1,562881,-1,-1,-1,-1,-1,741670,-1,-1,-1,-1,731829,53666,170330,140544,315933,717497,-1,-1,802519,650028,-1,-1,583990,420310,-1,620091,-1,-1,-1,-1,672862,-1,895580,683738,-1,545235,168521,774227,-1,349972,720650,-1,-1,213752,528638,-1,-1,-1,227005,-1,188071,-1,-1,154531,-1,627176,-1,-1,995580,50004,-1,356489,-1,-1,504958,-1,980613,677254,334570,298388,-1,-1,5245,-1,557796,392605,-1,-1,-1,282645,83623,-1,674505,26694,-1,260217,756523,794000,801671,-1,741067,-1,-1,715626,422055,844238,356111,-1,-1,334461,194240,71519,247122,680332,539759,645708,-1,-1,-1,-1,-1,-1,-1,-1,773038,-1,-1,67457,988309,-1,-1,81402,592573,-1,-1,-1,-1,158625,-1,-1,570099,-1,-1,416550,671882,-1,-1,-1,-1,339480,725454,-1,790498,925270,-1,467337,556009,458041,403619,32418,-1,-1,674383,-1,925937,-1,-1,453472,-1,338332,-1,132011,-1,667929,513553,-1,-1,-1,341169,374042,318131,-1,-1,-1,-1,-1,243724,989044,129635,209044,599974,-1,-1,244902,-1,443674,-1,-1,973834,642525,-1,-1,65361,-1,916818,-1,127684,-1,368804,840098,-1,-1,878644,588546,643402,-1,370595,-1,939134,207051,-1,171,909439,-1,-1,-1,100107,-1,-1,-1,994416,-1,309570,635521,-1,689268,-1,644575,712493,74829,818515,-1,-1,-1,-1,-1,355024,584706,282496,531920,-1,-1,68255,-1,-1,-1,249421,568178,116124,-1,680117,-1,884322,766297,288763,112133,165013,358504,-1,-1,91843,-1,-1,-1,689703,-1,24655,-1,-1,-1,-1,375094,-1,109699,563004,-1,-1,569903,628022,-1,291500,-1,393672,287694,-1,479222,-1,291424,912859,744344,-1,-1,919245,-1,-1,-1,233508,681439,262296,-1,-1,80167,-1,907070,832502,-1,-1,39895,531211,329297,478600,-1,-1,598357,-1,-1,706986,504080,679324,98639,-1,811937,842390,940410,8211,26496,-1,-1,336963,-1,-1,-1,510691,-1,-1,770400,-1,-1,516173,893444,-1,624187,-1,-1,-1,-1,162861,568787,-1,-1,-1,-1,-1,-1,-1,538137,828936,72634,-1,-1,-1,490020,956376,-1,-1,779002,-1,-1,651697,862282,-1,-1,-1,596338,682135,-1,979270,-1,866754,371459,163710,-1,47390,-1,14774,501827,262499,589472,-1,970123,908046,-1,-1,-1,849406,431616,-1,420335,-1,-1,-1,129585,722201,-1,426889,291487,-1,533419,585658,707329,458325,-1,-1,-1,-1,93254,96039,-1,-1,-1,-1,-1,552598,-1,-1,-1,-1,680537,-1,-1,-1,-1,13970,-1,-1,-1,-1,66668,419361,885059,-1,-1,-1,-1,-1,-1,703687,199803,-1,-1,719614,519563,138209,-1,-1,-1,660983,232313,-1,35555,864261,807531,-1,503967,-1,22230,626597,-1,-1,377785,731666,189019,-1,-1,-1,294063,-1,309246,668701,793628,-1,-1,716021,-1,-1,745664,522214,593220,256405,-1,-1,-1,-1,-1,-1,575362,718601,-1,79172,-1,-1,-1,81683,-1,42403,326897,-1,-1,-1,-1,559554,-1,216236,950035,119938,588078,-1,741636,747864,-1,948557,631616,-1,202872,84185,-1,729456,164961,47834,164598,381255,-1,400330,-1,713469,611172,172740,-1,961271,-1,-1,-1,189746,397057,-1,392373,-1,-1,-1,522718,-1,-1,-1,-1,771847,-1,73517,442301,-1,-1,-1,943293,128227,30085,-1,-1,-1,319519,-1,724796,-1,397366,-1,53674,-1,-1,18508,-1,470744,-1,203147,248594,346395,-1,50765,-1,164052,-1,-1,-1,-1,648777,-1,-1,262123,-1,477427,-1,-1,-1,-1,-1,243039,-1,-1,1365,316574,-1,549445,478,614017,93244,658929,-1,-1,-1,960822,-1,824441,-1,-1,-1,-1,-1,799893,634572,531058,630048,-1,817073,958387,524517,-1,-1,-1,-1,-1,-1,634460,392811,824532,-1,-1,303568,-1,389692,-1,276050,-1,338706,-1,403881,-1,397292,613033,-1,127125,-1,521319,842123,-1,-1,-1,389760,-1,-1,177241,971425,618344,-1,-1,305334,507393,-1,-1,20601,-1,229925,-1,611047,-1,-1,-1,219680,-1,179355,94842,642850,27999,412040,-1,277118,841299,132641,147955,753752,169352,147299,-1,630725,-1,-1,103372,504618,-1,339502,69011,38327,673712,-1,-1,306556,95325,-1,457817,-1,-1,203453,900795,-1,-1,261359,608359,-1,-1,283067,-1,-1,707078,-1,-1,795479,-1,244480,997893,828577,172569,-1,722484,66551,842905,-1,574282,421186,34450,-1,-1,84308,408476,-1,-1,-1,290575,174632,-1,931979,-1,-1,703281,335457,449643,-1,-1,-1,-1,268957,-1,-1,442028,-1,338465,-1,-1,-1,-1,785362,-1,-1,-1,453007,963384,65404,532042,-1,785674,-1,-1,820495,-1,-1,373401,434467,-1,884373,444852,290976,820570,-1,105268,857874,-1,230214,-1,-1,-1,-1,747805,582336,-1,-1,385070,-1,594291,193519,-1,-1,-1,-1,-1,670354,992050,555724,-1,42252,-1,-1,-1,988400,816694,75765,625310,-1,-1,-1,-1,890789,-1,-1,-1,848535,344974,3877,51548,706381,-1,-1,497486,-1,38406,-1,210147,488172,-1,-1,-1,-1,-1,-1,456735,594425,-1,-1,775739,-1,-1,904268,187939,-1,-1,540287,360181,-1,478096,142167,-1,-1,-1,545946,802088,121503,-1,-1,-1,543112,-1,-1,817766,-1,636601,237103,-1,905795,633121,-1,-1,-1,-1,432751,-1,-1,413350,-1,713136,-1,929197,-1,-1,-1,-1,-1,815616,108555,138722,-1,-1,278216,574914,-1,-1,-1,506469,-1,737369,632963,-1,776103,-1,488650,518482,281485,-1,97706,-1,370921,651735,-1,15677,935758,33936,753088,-1,-1,82166,223714,39821,-1,848897,39279,-1,-1,-1,-1,853976,-1,-1,634880,875356,91379,-1,-1,751865,-1,-1,352831,849116,-1,-1,-1,-1,387108,588769,899704,-1,-1,506158,671096,-1,893053,-1,569959,-1,18474,518467,455916,-1,170106,380233,802935,285667,-1,717203,286704,-1,939920,355377,185968,-1,-1,80293,-1,-1,-1,582765,-1,913748,-1,-1,-1,-1,-1,588519,833105,-1,986911,-1,-1,-1,-1,640799,441032,941701,-1,-1,8543,152970,-1,-1,587911,-1,-1,273253,-1,675441,838641,-1,-1,-1,761398,-1,-1,-1,-1,-1,-1,-1,695732,796015,989223,-1,430474,-1,-1,92776,-1,408421,-1,956708,-1,-1,873246,863241,244138,844454,-1,859687,957837,139037,580324,-1,-1,-1,199197,-1,-1,-1,-1,-1,880499,-1,-1,909518,-1,821186,-1,-1,-1,-1,-1,-1,179263,229559,539508,-1,-1,-1,-1,570918,293307,-1,-1,-1,-1,-1,-1,138966,-1,-1,-1,472458,67422,-1,-1,-1,-1,259795,477486,-1,-1,906134,493373,-1,713505,-1,166148,-1,945195,838793,-1,-1,174902,-1,286488,-1,709097,419846,371510,679180,-1,-1,-1,-1,398688,-1,45821,543109,-1,957800,-1,26643,-1,960287,-1,556459,386401,-1,442959,-1,426501,556906,-1,633346,960960,3122,-1,-1,-1,-1,545424,-1,-1,-1,666043,107414,183568,-1,-1,-1,-1,-1,-1,644803,425255,368848,645878,-1,932881,655815,571068,-1,-1,907678,-1,696785,534823,-1,533530,221104,-1,874682,21655,929885,440308,-1,-1,-1,-1,-1,-1,-1,-1,-1,783673,942986,246724,213735,801239,925886,-1,-1,786682,926842,26337,-1,463869,120985,57058,-1,-1,599652,-1,376176,-1,459432,-1,197065,-1,603138,-1,484115,-1,-1,892064,52254,377239,-1,-1,-1,-1,-1,-1,126723,-1,-1,756350,550841,423313,-1,-1,426183,31641,67480,-1,-1,476808,-1,-1,224462,390211,-1,-1,-1,11778,224747,440033,769297,816319,-1,-1,-1,-1,147704,-1,-1,-1,233267,136850,711535,-1,-1,-1,960016,-1,237703,-1,526244,432574,22162,937057,886772,-1,852070,-1,944496,506802,229708,-1,-1,-1,94622,-1,-1,-1,-1,248706,-1,623134,-1,615096,233176,-1,-1,-1,831631,755800,-1,-1,373758,870977,121363,-1,390008,-1,913159,-1,-1,-1,119598,615615,-1,-1,-1,235597,-1,344612,-1,393144,758228,-1,103904,26284,201303,545613,837743,750431,983868,-1,-1,161409,-1,509418,692579,-1,998105,-1,-1,107255,767007,-1,-1,-1,353074,325976,-1,-1,884514,-1,-1,-1,-1,-1,972571,483004,359252,-1,-1,-1,548618,-1,-1,-1,80790,217408,471802,938772,-1,-1,575638,-1,-1,-1,-1,827953,-1,-1,-1,-1,361226,782752,782579,197376,780648,-1,197604,949017,-1,-1,103965,-1,-1,-1,-1,-1,51513,-1,618942,-1,104037,643867,-1,-1,-1,308803,-1,-1,-1,419613,803606,-1,288761,772875,12473,365901,-1,-1,53911,580979,-1,485189,-1,7425,776285,-1,-1,789431,586404,857555,-1,-1,-1,-1,-1,-1,576410,699960,-1,573630,-1,-1,-1,781080,763933,695153,632189,357956,-1,852063,667191,-1,468026,-1,279400,605065,-1,34697,-1,-1,528175,148611,-1,118488,-1,716542,-1,109326,549718,-1,-1,-1,-1,776251,-1,317461,722180,-1,220316,-1,-1,-1,-1,-1,-1,-1,313195,77754,-1,-1,347022,-1,-1,-1,-1,91423,440864,959500,628966,-1,-1,23360,-1,320275,-1,571020,-1,591882,146953,-1,-1,760531,-1,-1,-1,216991,-1,-1,-1,253427,18520,738177,150214,959544,-1,158747,792555,617524,-1,-1,-1,278682,120293,712367,537709,921770,-1,175007,-1,-1,918291,-1,-1,-1,401654,356072,571559,421041,123328,932020,557068,415339,694743,883464,-1,-1,672624,-1,436371,-1,-1,-1,-1,464670,653949,-1,-1,974005,-1,153632,-1,232523,556237,-1,-1,937802,823409,-1,977529,889529,-1,555418,-1,286483,-1,-1,-1,530354,196766,-1,766756,-1,-1,327814,869031,787745,-1,-1,-1,571681,-1,565669,855503,-1,592594,-1,-1,-1,-1,850294,-1,727751,-1,-1,910176,362100,488609,-1,-1,665046,-1,816598,-1,-1,380386,-1,-1,367457,48207,-1,-1,-1,996634,-1,368521,-1,-1,-1,139265,961862,361787,793928,337444,-1,-1,715435,-1,-1,-1,537797,-1,-1,915994,-1,-1,-1,541290,-1,-1,-1,582912,-1,395435,-1,-1,-1,450089,452889,-1,-1,-1,505405,16729,423974,778962,-1,567094,867958,-1,514753,288606,559614,-1,546369,-1,84024,686751,-1,-1,349418,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,203601,285701,-1,47723,976132,731680,-1,-1,-1,341232,142062,-1,146575,127708,-1,600674,-1,127599,132700,-1,202630,697550,221016,-1,-1,-1,-1,601709,-1,-1,657569,726023,636559,350481,293606,254790,-1,739807,-1,-1,-1,426967,-1,218528,513102,-1,192317,974380,-1,-1,-1,-1,680638,763981,-1,591768,-1,-1,871638,-1,-1,-1,-1,-1,858734,-1,304206,-1,928417,-1,-1,174329,-1,849213,838295,-1,99326,410330,-1,-1,609957,-1,248273,-1,-1,-1,-1,443007,364179,248288,-1,941101,198142,-1,-1,644180,443869,-1,33205,677418,452020,-1,-1,746188,-1,-1,795874,-1,315440,195012,773480,-1,968555,-1,717184,194536,-1,-1,495738,336677,96288,-1,764547,-1,-1,-1,-1,-1,-1,945126,634480,709672,943682,-1,-1,313574,103874,-1,334619,357201,-1,-1,40474,506421,147272,-1,-1,-1,101984,785826,-1,204803,528395,-1,872416,-1,-1,39453,-1,-1,923222,-1,258691,855312,-1,-1,-1,-1,63754,-1,141279,930679,162163,60565,-1,-1,-1,-1,-1,401594,-1,-1,-1,-1,790602,216184,147571,622260,731332,-1,973731,-1,850370,672455,-1,115230,154400,943916,-1,637096,205648,-1,343012,273551,738463,701731,777288,648159,939382,394565,625224,443749,999397,-1,731995,-1,-1,954698,177672,749379,906500,-1,982672,-1,746210,413450,-1,-1,-1,148959,-1,-1,266318,634416,-1,525720,-1,-1,952961,367985,-1,-1,29433,548409,-1,292012,-1,-1,781400,-1,804005,-1,-1,-1,626927,924971,191450,643522,842792,58099,-1,89360,-1,515380,367578,955445,577566,-1,-1,720968,-1,-1,394205,-1,550094,895520,517921,184013,-1,-1,-1,647521,-1,449093,-1,508679,558124,-1,588407,490705,-1,527423,83635,449760,-1,225770,-1,392352,-1,72088,971452,-1,904242,546442,-1,-1,-1,128479,450688,75270,-1,763678,-1,-1,-1,268124,-1,254721,-1,854200,172091,-1,666688,-1,248157,898361,-1,-1,-1,39416,749643,-1,-1,116841,-1,-1,625447,447816,816297,-1,145859,471974,37359,-1,-1,-1,329551,-1,-1,729978,943207,-1,72864,-1,-1,6731,-1,235764,18125,-1,265365,-1,814897,-1,-1,516962,-1,-1,-1,211699,718419,-1,429353,-1,-1,-1,-1,249273,-1,-1,698673,691679,780205,370134,803152,-1,-1,875233,130116,-1,82791,-1,873872,-1,465340,-1,411307,-1,-1,288593,-1,835097,-1,247684,831515,290584,-1,925875,545344,-1,-1,541311,505335,888805,-1,-1,-1,39615,461908,-1,-1,-1,451696,-1,-1,282084,-1,-1,-1,-1,-1,641807,583905,958543,-1,42451,797654,17335,124018,-1,669415,-1,-1,273051,-1,810290,-1,-1,-1,-1,-1,284750,-1,910543,-1,857216,274703,-1,-1,41277,486394,87179,-1,-1,-1,989305,-1,-1,132293,904520,-1,716794,-1,-1,-1,119912,847652,820450,-1,-1,357479,800219,-1,958281,360078,302618,-1,579015,-1,493923,379491,-1,-1,818324,-1,119151,-1,767547,29501,822447,-1,974244,235506,-1,-1,-1,-1,138068,692407,297877,-1,635662,-1,-1,-1,-1,-1,-1,109582,409457,-1,184068,692243,441047,-1,-1,-1,-1,231330,169443,-1,583079,40310,733502,780991,-1,118370,-1,-1,507618,209723,-1,-1,645916,365788,-1,486071,-1,715230,-1,741336,301461,-1,54041,261448,502261,-1,820051,375002,480768,-1,-1,100251,-1,676837,-1,622531,-1,-1,-1,752125,89397,-1,-1,-1,-1,-1,-1,-1,861041,-1,339514,783151,564434,233740,-1,-1,503266,-1,-1,538520,465279,-1,-1,293269,699696,232133,-1,439762,-1,649061,-1,741534,-1,-1,-1,864755,-1,-1,-1,-1,-1,-1,807605,-1,385178,-1,-1,-1,-1,-1,-1,-1,308470,756543,-1,608272,82447,311648,201621,915200,387527,-1,216194,-1,-1,433760,328994,-1,644454,-1,-1,-1,-1,239577,-1,-1,-1,-1,-1,817696,-1,-1,673333,515512,-1,-1,920612,963804,-1,579812,144597,-1,-1,308163,441018,555204,-1,355561,328796,-1,-1,-1,-1,-1,334732,895831,453927,-1,-1,230364,90007,-1,-1,-1,-1,998588,801493,-1,-1,-1,-1,522146,-1,-1,625729,-1,98155,-1,424320,788972,-1,159077,524396,-1,-1,244673,-1,825361,-1,245599,79868,486302,76716,268944,-1,-1,903978,529846,-1,-1,-1,267685,-1,310224,149794,-1,-1,795597,-1,-1,-1,289052,-1,23320,131327,461556,-1,117003,728724,-1,-1,879204,481933,587772,153082,-1,-1,518684,707475,901124,-1,825558,-1,-1,53632,258830,-1,490473,722074,-1,727703,118053,642990,-1,-1,-1,-1,649812,77601,580843,724190,492131,-1,-1,225464,567915,-1,317438,-1,778557,-1,634943,539779,183671,40340,750555,-1,-1,914930,-1,-1,77408,713703,231035,-1,-1,957974,521869,194169,-1,345020,-1,470298,419355,269328,870263,-1,-1,-1,335616,-1,217147,-1,282783,-1,491047,-1,981500,-1,770021,-1,-1,-1,722710,732375,275653,382407,-1,147989,-1,-1,-1,-1,-1,451577,930511,234082,324055,-1,504032,499576,771404,674902,-1,414054,-1,-1,705258,-1,-1,-1,533980,-1,527181,829093,-1,-1,-1,215428,-1,-1,-1,26729,754045,915636,-1,-1,330682,-1,647927,177284,763166,993878,827855,707326,375817,375664,469441,708091,-1,-1,-1,-1,693903,-1,-1,92896,953431,720318,409240,400727,-1,-1,-1,760590,742784,908584,-1,640010,-1,-1,745108,980469,-1,-1,572472,739021,758767,953755,759002,85166,-1,-1,119637,-1,322487,267823,-1,-1,-1,-1,-1,387316,-1,-1,-1,935479,739095,307856,-1,245253,-1,-1,-1,435726,-1,-1,-1,563307,-1,992289,-1,-1,983567,368003,439522,524325,701369,-1,823178,994084,-1,191386,-1,-1,335522,156962,722579,-1,583330,-1,525677,148625,231288,39209,-1,699243,137137,627091,311315,-1,601148,-1,-1,-1,-1,859839,-1,533978,171417,-1,-1,123470,-1,-1,542711,-1,414375,-1,757341,-1,-1,-1,214513,500931,145897,692386,142727,-1,803442,859179,-1,514427,-1,-1,-1,765313,53368,887920,-1,-1,686845,809271,-1,648888,774833,501398,635115,-1,825123,-1,-1,-1,-1,565285,-1,186252,361684,194471,684424,-1,-1,-1,385280,-1,-1,496129,-1,491541,-1,787508,479461,-1,-1,841655,-1,-1,-1,80308,620622,485424,617741,-1,-1,954238,983698,936649,761134,-1,-1,876422,-1,-1,350944,953121,928811,99868,-1,-1,-1,-1,-1,-1,-1,774003,632564,825133,-1,154390,466242,571846,465019,605817,755225,974253,-1,-1,796137,638685,88935,750549,250299,331682,-1,-1,-1,781583,-1,-1,-1,867285,-1,678103,-1,-1,227293,685465,-1,-1,-1,225667,-1,-1,162308,779166,-1,209309,-1,389336,-1,-1,-1,-1,658016,-1,-1,-1,375529,-1,-1,223622,335420,78909,9796,474364,202741,-1,433976,831191,904250,-1,533564,839688,-1,333954,-1,-1,-1,704031,-1,-1,624905,944982,313803,-1,-1,-1,-1,-1,-1,-1,-1,-1,54776,210190,-1,780398,-1,716296,-1,-1,379620,943606,178468,475358,-1,487596,-1,829422,-1,585348,-1,307615,202941,-1,489360,450694,885455,97574,-1,-1,105797,-1,497381,-1,-1,408361,-1,727296,-1,401167,430224,-1,-1,-1,449008,929970,-1,40865,539197,489613,709961,-1,72424,461090,532024,381199,-1,842949,182785,587515,690121,446940,391757,-1,-1,-1,936726,-1,103024,550015,574279,-1,532951,978447,8749,-1,-1,-1,-1,238531,-1,-1,-1,-1,-1,137942,-1,294811,-1,432061,-1,949261,-1,-1,-1,-1,785840,865359,-1,-1,-1,169601,937997,480498,827598,-1,200770,-1,-1,317882,296895,723441,915108,382841,178942,-1,-1,-1,534967,966789,-1,631631,-1,550729,62235,619203,378306,-1,324480,294535,937311,565406,-1,-1,376183,-1,-1,548088,995473,-1,-1,25101,643113,704171,9980,-1,475862,893319,480770,-1,205393,-1,-1,-1,-1,-1,594401,-1,807285,-1,861264,-1,939633,-1,-1,47610,-1,393959,-1,-1,-1,201580,214015,-1,41043,139254,197441,987659,702421,537223,959631,-1,652188,39436,-1,835245,-1,-1,643530,-1,15311,146359,591248,-1,37662,-1,-1,-1,-1,-1,-1,-1,212921,-1,250265,-1,-1,262408,-1,-1,84608,-1,999216,748651,602081,-1,240514,-1,740123,495535,-1,-1,-1,-1,-1,307419,-1,-1,737486,-1,-1,776295,-1,565015,566229,-1,73117,913634,-1,-1,-1,270410,-1,783553,493546,718703,353891,-1,-1,-1,203336,563314,-1,-1,-1,876246,-1,68324,-1,-1,169838,-1,-1,472584,11640,118677,13311,-1,-1,-1,-1,790878,604492,896443,-1,-1,438814,889503,-1,604245,250259,-1,176526,-1,-1,-1,-1,-1,15623,-1,-1,-1,-1,-1,-1,-1,229262,-1,-1,35783,-1,650359,-1,146648,-1,54130,849250,183747,92058,-1,-1,916146,603873,-1,-1,-1,552567,784582,-1,55836,926481,-1,-1,-1,-1,888478,-1,937950,561173,-1,-1,-1,332731,237344,-1,405097,-1,542704,872002,-1,557555,486673,727685,-1,-1,457462,676775,360984,72082,66424,865287,618123,22289,-1,-1,-1,-1,-1,-1,773730,383312,969549,889945,473343,-1,-1,280365,-1,926265,-1,-1,419327,370909,448972,-1,-1,627154,920990,-1,703331,682138,125977,331999,761770,883874,-1,-1,-1,-1,-1,84704,389400,-1,532333,-1,-1,102620,-1,-1,-1,949920,-1,246982,273721,-1,207977,-1,-1,693566,-1,32884,463700,103259,284045,946109,-1,-1,-1,-1,-1,481262,543477,-1,-1,-1,442568,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,804943,669244,-1,-1,-1,-1,-1,-1,588378,885352,800690,-1,-1,-1,-1,139803,835276,-1,331317,883896,300918,895163,9933,455713,813532,998586,-1,670969,99403,510322,-1,-1,636463,545149,941189,215855,-1,697083,-1,-1,792228,-1,40962,-1,221097,-1,442353,681868,-1,-1,31649,173536,-1,632560,-1,899195,627601,489443,-1,104169,-1,815767,-1,255838,-1,-1,-1,-1,-1,-1,-1,737458,-1,172754,-1,674650,-1,-1,955238,439725,156457,-1,-1,-1,-1,211760,48284,-1,263914,442113,865944,628811,-1,482677,646787,-1,-1,44018,-1,-1,-1,-1,953471,459878,120134,132123,-1,-1,-1,375251,-1,347798,973654,-1,-1,96574,530836,973211,-1,491640,-1,47295,168824,-1,610531,-1,50753,-1,469077,371519,826276,-1,-1,-1,-1,623092,579902,-1,618870,-1,743663,854435,-1,151805,-1,928635,-1,-1,-1,-1,94923,552971,98916,740757,238785,-1,-1,295490,-1,434019,725890,626352,829519,-1,-1,-1,739732,-1,-1,994452,755340,-1,-1,313793,-1,-1,-1,-1,657754,-1,63816,278596,-1,62316,992147,-1,599228,-1,-1,-1,-1,-1,-1,-1,773061,426210,-1,448699,670690,-1,399500,406310,311966,171516,-1,-1,-1,-1,64350,949016,-1,-1,-1,626845,451835,20770,295717,-1,-1,-1,-1,-1,-1,526520,-1,58446,-1,489117,150687,-1,-1,-1,-1,713001,-1,-1,-1,311521,924274,-1,-1,-1,522951,494830,-1,-1,176344,-1,-1,-1,28082,333283,354157,538150,636789,-1,-1,485497,143425,176839,294018,86885,219657,-1,-1,-1,41590,-1,-1,-1,892610,478929,548831,430973,257405,-1,-1,-1,427200,392348,84356,304646,892209,459278,-1,-1,368972,-1,-1,715004,-1,893439,-1,258338,586961,-1,884703,-1,683213,127712,-1,750316,-1,-1,424659,-1,-1,42767,889739,-1,-1,-1,-1,-1,734290,336428,-1,-1,-1,307210,515131,-1,315755,189887,59856,-1,109197,-1,752339,9786,915096,-1,622401,-1,265273,378933,441231,7119,781967,749063,-1,534258,294735,-1,-1,813410,126661,-1,-1,564260,545749,678770,-1,424744,-1,-1,21324,421029,768662,-1,713031,-1,451932,-1,76290,-1,795552,585491,-1,141356,-1,554662,808091,838701,320118,-1,-1,-1,332270,932302,-1,315865,-1,200698,379798,-1,-1,-1,-1,235696,-1,59196,-1,-1,-1,780925,-1,-1,-1,-1,701926,-1,792974,-1,86840,-1,-1,-1,223786,-1,297561,-1,162199,-1,-1,-1,-1,-1,-1,-1,381453,-1,611990,-1,-1,247498,-1,769319,-1,801881,207310,-1,671776,182880,893763,453521,931427,-1,-1,-1,-1,-1,-1,925323,-1,14398,606818,-1,521690,-1,994547,442159,202156,-1,-1,653435,-1,-1,762834,-1,-1,541389,-1,279040,22445,-1,708168,88191,-1,-1,500371,808702,402302,-1,-1,162142,404667,69960,104184,-1,334516,91648,416846,-1,565188,-1,-1,685451,870741,-1,706427,774641,898566,-1,-1,283516,424231,-1,535467,-1,-1,215547,-1,-1,330932,446346,-1,-1,-1,454256,537148,-1,283223,952933,511681,-1,632573,-1,367413,430399,-1,887631,-1,593379,496187,165910,953831,-1,168238,75166,513143,-1,-1,5429,871148,664737,545435,-1,799326,-1,-1,-1,70346,182533,648934,-1,813596,59696,-1,-1,805773,717906,-1,870321,-1,-1,-1,-1,795263,405643,-1,495547,-1,-1,-1,702463,-1,-1,878730,-1,572536,-1,-1,-1,-1,-1,683055,535607,-1,36444,-1,-1,-1,-1,461037,-1,-1,126225,-1,-1,554947,-1,390697,-1,-1,-1,-1,299342,-1,887036,973379,709805,794517,188117,-1,-1,2392,-1,844664,155819,-1,489629,-1,-1,-1,946017,802831,-1,897786,438946,60593,-1,-1,879977,-1,64410,785307,335846,-1,-1,749271,83484,-1,-1,-1,840872,-1,-1,635329,-1,193719,226209,-1,594249,-1,74836,119124,549083,-1,-1,-1,-1,217161,730315,-1,654232,501400,738165,404354,-1,-1,587105,-1,-1,-1,-1,-1,375686,275493,-1,872738,-1,-1,-1,-1,-1,-1,-1,-1,690116,898458,922932,-1,281073,-1,-1,114320,-1,198498,395287,611810,593365,-1,130528,-1,54307,-1,374105,-1,707916,595794,-1,471389,-1,467093,317217,84969,-1,609910,910827,-1,418109,30235,786084,296242,-1,-1,-1,-1,120457,87562,17677,782455,885811,784480,682054,-1,885228,302483,40199,912950,250797,934337,-1,306839,-1,373554,-1,32075,947328,739511,279283,-1,-1,-1,64584,3451,-1,-1,-1,-1,-1,475015,349844,-1,-1,973060,-1,-1,-1,166808,-1,-1,127622,-1,343246,286360,865337,643246,51267,90848,112389,-1,-1,-1,-1,-1,729273,-1,-1,-1,728438,-1,-1,-1,-1,-1,-1,374144,863741,-1,-1,-1,162604,-1,-1,887583,-1,540344,-1,-1,995675,-1,-1,912564,-1,98740,-1,531591,846569,-1,562385,749080,-1,981605,224789,-1,518614,541503,414092,202634,508842,-1,-1,-1,-1,88648,155948,615232,889110,-1,-1,548896,-1,-1,850689,567992,920603,-1,-1,-1,907660,827805,-1,-1,485477,722904,-1,-1,-1,493515,316478,-1,-1,-1,589593,-1,803336,-1,-1,305985,336508,-1,946538,-1,-1,-1,104753,382882,841960,-1,181108,548854,492643,-1,113679,27388,830076,749537,543609,820793,514352,-1,-1,-1,864835,805387,573284,547328,-1,-1,-1,-1,523372,-1,-1,79326,-1,-1,940421,-1,-1,374716,890273,737990,-1,-1,-1,793042,-1,-1,748856,-1,-1,536829,-1,-1,-1,786964,-1,346943,-1,157121,-1,394495,235954,-1,999478,-1,766470,-1,-1,358097,-1,940252,-1,-1,-1,-1,-1,-1,228785,-1,-1,-1,196238,278920,586328,97192,-1,-1,-1,884123,-1,551571,259088,935412,-1,-1,503098,-1,-1,-1,660770,637591,952786,-1,155034,935635,982481,657001,-1,258155,129959,-1,-1,-1,722809,-1,-1,-1,618979,193036,564310,791921,-1,22036,260069,773874,-1,-1,-1,-1,-1,119596,-1,-1,903123,423324,746305,598390,-1,-1,92361,518344,-1,-1,35908,459906,544729,383946,-1,686064,528034,-1,-1,284488,201183,16454,50858,173301,-1,-1,515699,-1,690443,-1,629555,542611,-1,-1,-1,451616,-1,-1,-1,-1,699726,-1,825644,-1,290032,-1,-1,-1,-1,160913,-1,284361,-1,-1,925084,993000,-1,-1,467389,436908,-1,452270,38906,360222,472677,422833,-1,441407,-1,685123,-1,204386,695775,782148,73152,-1,173357,-1,352849,-1,-1,517686,590612,-1,-1,59433,-1,383605,-1,-1,-1,514888,-1,-1,669045,276301,-1,-1,-1,935732,-1,805500,-1,-1,824415,-1,-1,-1,986758,965826,793720,-1,-1,114949,667170,-1,293549,-1,-1,323179,3205,-1,-1,133266,-1,158418,-1,-1,-1,-1,-1,-1,-1,-1,762022,-1,472254,283447,848330,-1,-1,-1,619648,566789,-1,-1,-1,902307,-1,-1,396423,228416,548890,843644,-1,-1,791379,623899,-1,690612,-1,860092,516083,621921,876084,-1,-1,727931,-1,-1,-1,718871,-1,304627,11431,-1,883911,785020,1353,-1,-1,-1,909496,413272,37507,168128,-1,-1,634698,156725,-1,95352,-1,-1,-1,660568,630004,-1,-1,921083,-1,942214,-1,-1,723646,-1,675481,-1,-1,178973,-1,-1,-1,664998,-1,-1,-1,-1,409017,622514,-1,-1,795064,-1,-1,-1,-1,863119,436893,74102,-1,251226,-1,-1,410890,580858,-1,-1,266486,-1,415647,-1,-1,570492,642035,975405,676964,672635,854374,281212,985442,-1,-1,-1,840810,-1,867946,953996,-1,733613,-1,37132,-1,-1,-1,842852,-1,394466,656840,-1,309903,-1,412406,865294,32012,-1,55228,22527,-1,416461,344544,760313,117893,-1,-1,213709,368914,-1,-1,-1,-1,-1,-1,250904,-1,857882,-1,-1,-1,-1,-1,582271,-1,-1,685764,-1,595046,-1,548783,-1,-1,-1,699967,448389,-1,-1,564647,802718,172912,766880,-1,-1,788841,823679,565495,-1,-1,-1,-1,-1,546955,-1,-1,124373,89433,930128,351126,691952,842797,-1,466856,143534,-1,-1,-1,-1,-1,558614,-1,271740,764837,709975,-1,921782,517883,-1,-1,-1,-1,274279,-1,-1,632509,-1,-1,977229,-1,480577,231868,-1,-1,-1,56822,820446,522937,23003,-1,-1,-1,91470,672338,-1,-1,32362,-1,526977,468324,-1,884073,794428,-1,-1,-1,476699,858804,-1,248561,740731,-1,-1,343988,717110,189174,-1,392248,-1,-1,-1,-1,689380,318377,-1,-1,-1,-1,-1,-1,-1,955639,940822,674358,582938,-1,-1,775911,-1,-1,-1,601961,-1,747650,544636,-1,592410,-1,-1,-1,671094,826732,-1,-1,925405,-1,-1,-1,-1,938489,892129,596230,-1,311988,23923,99314,-1,-1,-1,605039,-1,-1,-1,-1,-1,980311,-1,175651,212074,-1,551158,281058,392220,-1,-1,646817,966899,-1,861493,-1,668548,682549,159895,-1,218092,-1,597133,491717,157952,-1,-1,918114,76884,671656,-1,526128,-1,766977,-1,616527,-1,778085,159078,707040,341927,-1,-1,-1,281536,743377,221356,719453,656022,459212,-1,819237,728300,677180,-1,187325,-1,-1,-1,-1,-1,297206,137203,-1,128108,347983,803110,744535,-1,253438,-1,976413,837925,-1,367860,4339,-1,292945,628683,-1,-1,-1,-1,644414,309223,635966,41669,-1,38130,-1,-1,-1,-1,663577,423444,-1,768466,516854,722880,863784,573411,83861,3316,570228,80694,-1,-1,64907,-1,634712,-1,424268,-1,-1,-1,-1,575463,995058,-1,-1,112465,-1,536266,199464,970986,812658,434970,-1,544314,-1,809467,-1,200264,-1,212384,981543,-1,485257,574366,-1,460559,-1,-1,385311,9194,-1,-1,161401,718422,205506,-1,129349,-1,-1,-1,14512,714035,467635,777321,615935,-1,709044,528876,561793,-1,-1,455842,-1,175359,370721,319023,48962,-1,78613,961370,-1,927754,-1,-1,823801,-1,-1,-1,15243,961282,320796,-1,687526,341149,-1,-1,136619,-1,-1,959770,-1,436093,776,729701,840729,-1,-1,501451,428628,-1,-1,-1,-1,805324,-1,-1,-1,-1,-1,-1,-1,-1,-1,765049,-1,-1,951831,-1,169427,75789,744751,607398,-1,464060,746653,-1,454117,540183,991359,-1,-1,-1,784046,539351,-1,-1,-1,44232,939808,810265,565026,473747,831687,-1,342479,-1,-1,-1,499032,724943,-1,887597,-1,-1,-1,648020,-1,-1,956436,-1,232151,-1,605203,-1,-1,-1,-1,785931,-1,159261,625678,20920,204247,357650,-1,-1,825705,967664,340493,545979,654219,748546,297213,544551,596859,335901,-1,251791,696332,-1,638192,-1,127635,146647,344746,521913,943347,608808,253939,262856,117941,-1,-1,-1,-1,648258,285104,86375,-1,832539,302561,-1,833194,-1,878993,-1,-1,-1,-1,-1,-1,-1,-1,73952,-1,-1,-1,271506,617077,-1,-1,903286,-1,219662,-1,-1,805863,466689,418261,-1,146673,686346,-1,-1,-1,883018,-1,-1,775534,59114,826166,-1,284951,-1,743254,-1,-1,-1,-1,872469,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,169466,-1,-1,597860,-1,633160,-1,-1,-1,173343,133340,-1,-1,184435,274177,540180,-1,85554,-1,253373,-1,614143,734014,872951,474586,-1,923470,-1,784674,444699,-1,283789,-1,32018,557060,-1,-1,600023,391912,534115,-1,-1,997824,-1,736932,-1,43444,497964,114228,778992,-1,-1,627828,-1,217793,466951,-1,816968,-1,-1,447898,831090,-1,266304,863907,763828,-1,-1,-1,-1,-1,704610,-1,-1,-1,281034,571092,-1,897713,608172,418069,-1,-1,782660,-1,-1,-1,-1,946851,-1,607012,-1,273989,417665,176735,-1,654791,209675,-1,436413,-1,904656,-1,-1,-1,-1,456577,-1,598308,654690,833447,563192,-1,-1,126275,-1,779173,-1,57799,290127,497598,50943,13226,-1,358361,-1,-1,-1,904598,370788,-1,817613,824827,-1,-1,170103,-1,767473,-1,672795,-1,122688,-1,-1,600953,44836,551749,-1,209524,-1,-1,686037,-1,391598,536858,45982,626022,969306,-1,-1,603613,-1,747792,-1,491089,-1,-1,-1,-1,332568,455008,857820,380348,612018,893581,-1,374391,453688,-1,17288,-1,-1,80288,75131,-1,953275,710993,-1,24094,-1,681257,983531,458663,469319,178770,800151,241711,-1,313656,476462,878228,684116,-1,-1,-1,-1,-1,-1,245520,-1,-1,-1,-1,-1,642998,626292,-1,504148,-1,-1,-1,22348,84312,476884,-1,-1,-1,-1,605962,-1,-1,424535,221789,292815,-1,-1,-1,460365,386477,787391,15485,568079,959995,-1,-1,255782,-1,-1,-1,509260,-1,9834,588493,-1,387451,-1,-1,-1,-1,150135,-1,-1,213705,2943,212639,-1,152236,826752,870302,736673,468996,-1,-1,-1,-1,178385,-1,824410,900365,-1,-1,388796,489854,429660,904345,918706,-1,638663,-1,944974,317012,889117,-1,-1,-1,404971,-1,-1,933890,998406,-1,-1,846608,721129,526885,976333,353781,161187,-1,437391,-1,497867,271201,343556,888301,-1,490199,-1,-1,821812,373621,-1,-1,52088,552338,515637,335332,417263,953125,-1,-1,443949,-1,-1,-1,414672,893475,-1,315597,575050,-1,-1,460359,301526,539169,19411,-1,787643,243021,-1,-1,-1,21181,-1,-1,660936,782278,472800,-1,-1,475582,-1,-1,416644,88696,718028,-1,188449,643419,649384,7746,-1,858659,-1,852347,-1,988469,112271,15949,-1,-1,515128,-1,-1,-1,-1,-1,910464,12591,-1,776833,-1,-1,-1,974899,-1,558551,-1,655245,736360,563880,973063,-1,786691,-1,-1,945785,-1,360419,102937,-1,-1,842052,-1,-1,940310,-1,125881,-1,-1,804757,403501,-1,22870,411786,841022,-1,-1,-1,-1,-1,-1,644239,473917,596783,963037,-1,189286,-1,220541,431452,-1,-1,-1,359887,257931,-1,-1,-1,268354,-1,28200,753762,-1,-1,-1,27983,579547,160957,710942,375185,118306,31507,-1,-1,-1,-1,322708,129912,232497,-1,-1,-1,151700,105653,-1,186480,91196,-1,650660,647223,430610,458865,927210,346068,998687,101997,-1,-1,34494,448724,-1,124514,-1,180944,-1,658488,-1,-1,591140,169816,2484,186898,1320,-1,116419,188093,181278,-1,102874,-1,86553,124956,-1,616956,-1,-1,-1,-1,444713,963152,-1,-1,239793,406435,735146,648931,907563,-1,-1,-1,144552,-1,754125,437507,406919,562112,245434,628626,329255,-1,893574,911059,-1,-1,223001,-1,658232,-1,121412,681085,-1,504451,399261,294694,154451,-1,288420,420152,421651,422893,-1,997738,441226,-1,667054,922520,-1,224250,-1,-1,753017,622051,-1,-1,-1,-1,879895,367580,616048,-1,-1,-1,159420,-1,-1,-1,-1,582054,-1,458739,-1,877023,-1,-1,80830,727742,-1,-1,530554,-1,-1,-1,-1,-1,-1,-1,451606,-1,979340,-1,383848,-1,-1,318907,-1,-1,517931,-1,300607,371717,-1,461563,-1,960428,-1,783434,-1,316981,-1,-1,-1,445017,824434,881248,-1,-1,-1,867623,-1,-1,-1,453033,96970,-1,-1,-1,-1,246092,-1,-1,-1,824279,-1,941367,-1,297928,-1,-1,544098,-1,563799,-1,-1,-1,-1,55959,-1,-1,-1,484314,193921,-1,-1,701474,488715,-1,-1,-1,209000,-1,85148,485183,-1,-1,-1,-1,-1,-1,291989,843641,786767,-1,-1,-1,-1,322775,312814,739755,221823,-1,-1,58665,77997,672985,748290,-1,-1,-1,-1,-1,-1,305386,-1,783743,-1,856762,-1,207334,-1,238765,95686,-1,-1,280150,-1,-1,-1,63561,397655,-1,-1,-1,-1,-1,217507,614928,-1,253553,-1,744164,-1,-1,455602,27493,-1,-1,-1,802134,-1,-1,-1,185987,-1,743925,702923,673388,147496,-1,616809,32224,572411,498496,540566,-1,-1,594460,-1,-1,99383,-1,457232,132061,-1,348723,-1,-1,-1,784602,-1,572980,-1,-1,206383,497256,685187,-1,55760,-1,-1,-1,-1,-1,-1,837800,-1,356431,-1,-1,-1,807556,-1,-1,-1,636205,-1,466389,-1,-1,947609,-1,-1,623679,-1,-1,304883,-1,-1,-1,-1,920839,-1,362875,-1,613887,940559,-1,307517,880671,-1,986884,-1,516813,464913,-1,742741,32728,-1,24169,-1,-1,252405,87325,-1,256659,285013,172908,665966,-1,-1,365193,-1,483696,65710,-1,877072,429332,-1,-1,-1,645582,448953,305854,-1,980177,-1,675183,-1,643817,44432,127400,202609,182409,234501,176330,144730,953327,-1,-1,593903,-1,-1,-1,-1,462665,570255,-1,-1,-1,-1,-1,668096,78777,164171,878512,955723,-1,364929,-1,634925,-1,877612,-1,23232,444624,-1,-1,397255,-1,-1,28990,314433,603842,901442,934450,-1,47854,781416,-1,-1,-1,-1,-1,-1,-1,420117,26136,100153,-1,-1,-1,-1,918908,-1,-1,74058,-1,580821,834996,627156,-1,576907,-1,-1,-1,-1,-1,11080,-1,451665,625106,-1,496582,-1,-1,897755,-1,878239,-1,174920,708358,313188,-1,773638,-1,881689,-1,-1,-1,314072,535116,-1,-1,525684,-1,756748,318112,411918,-1,-1,855140,414561,235371,608380,445331,-1,-1,-1,-1,281084,-1,939834,-1,-1,-1,-1,88141,-1,-1,655561,-1,380510,-1,-1,197341,812065,-1,-1,-1,-1,-1,-1,-1,545774,31566,706001,-1,740681,976262,766026,85428,798040,433542,818538,189881,-1,152869,-1,276758,-1,901108,-1,-1,784072,-1,-1,-1,-1,855620,845260,-1,89736,-1,-1,396945,-1,-1,-1,619327,-1,390420,-1,764911,510295,-1,358119,413064,-1,-1,624303,-1,-1,-1,693930,624236,277788,-1,520300,284395,142533,-1,928947,603625,151837,-1,-1,-1,421482,414856,944381,676042,-1,476078,624497,305082,3640,-1,-1,308843,625128,-1,728214,-1,-1,-1,674357,-1,652621,685510,-1,401838,7687,-1,83367,805797,-1,-1,121924,299585,-1,624872,471476,750662,-1,-1,913839,-1,989929,800816,-1,794936,52489,852496,340443,-1,-1,-1,-1,-1,-1,793351,898167,705667,-1,649352,160135,997519,207697,-1,891267,230589,947379,-1,-1,555965,-1,-1,194003,-1,403901,465620,425572,951607,907763,238077,-1,901458,-1,604570,409545,-1,207736,-1,972780,916757,972612,-1,-1,-1,-1,-1,-1,-1,799192,284097,929942,-1,704624,-1,240212,-1,-1,-1,-1,931689,949673,-1,-1,-1,379529,521374,-1,456541,-1,-1,-1,277070,626137,729917,660862,-1,48440,369275,308307,-1,-1,-1,-1,996226,-1,-1,-1,-1,931557,211018,368444,-1,585773,-1,-1,474664,641802,77881,-1,916017,-1,586691,-1,797828,668599,-1,-1,102526,-1,668012,326833,87870,-1,534484,688451,-1,210226,-1,801267,878130,499042,-1,88095,465955,620601,816231,-1,-1,557517,767498,745551,601352,975146,591502,-1,-1,803498,-1,932930,591601,-1,-1,-1,-1,789940,875401,-1,917709,-1,-1,-1,625119,218339,-1,144031,158729,97066,785348,704976,-1,887769,-1,-1,-1,154468,686194,-1,221661,-1,46226,-1,46774,969124,117836,597362,637887,22962,13531,65933,-1,802881,-1,-1,-1,-1,429476,791525,565746,431732,-1,-1,875106,-1,-1,383833,929667,912818,-1,-1,-1,4358,146764,-1,-1,938834,829542,-1,668850,209032,-1,646919,544150,-1,-1,729102,240438,-1,249747,227013,397041,128097,-1,-1,-1,-1,-1,-1,-1,367323,-1,-1,-1,-1,411016,452206,-1,-1,826776,998201,-1,-1,917351,225612,469899,-1,-1,532458,-1,966291,-1,-1,-1,-1,-1,-1,-1,999235,-1,720104,-1,946170,743647,709695,-1,-1,45976,-1,537482,37357,622286,-1,173303,329490,-1,194439,-1,779021,-1,398197,-1,685570,16638,-1,198302,-1,-1,171047,-1,-1,144485,644006,810961,-1,88394,-1,-1,-1,979385,376826,-1,-1,-1,-1,946555,-1,-1,-1,-1,-1,977438,484520,783295,-1,103287,439399,-1,-1,666257,-1,-1,-1,34328,348027,-1,219002,-1,992054,-1,362051,-1,-1,-1,386134,-1,-1,-1,60479,574651,-1,-1,758934,552256,-1,-1,-1,-1,772293,-1,169142,-1,192614,635816,102055,938119,-1,599345,687941,123898,591238,-1,350338,773326,516901,886410,975020,724478,539414,-1,-1,-1,-1,799756,-1,638433,-1,256240,894717,-1,857696,483615,938948,530197,838266,-1,-1,-1,-1,847867,911070,-1,-1,-1,-1,-1,268677,4582,736371,-1,211903,-1,-1,-1,578560,-1,-1,3329,196554,406582,729542,-1,764934,-1,840789,-1,-1,2292,643917,-1,251068,-1,914548,-1,568092,-1,-1,-1,120778,359812,-1,-1,232565,-1,900912,460351,736241,644410,783824,-1,-1,156780,853813,47806,271592,-1,-1,174528,768577,-1,-1,-1,-1,598399,852050,-1,-1,531808,158929,-1,-1,875929,-1,151006,-1,-1,590414,-1,425906,-1,-1,818926,-1,-1,166558,-1,-1,-1,-1,606811,-1,6548,499072,943984,672593,-1,-1,-1,-1,-1,189640,-1,-1,510351,289424,-1,501009,174318,760341,612076,-1,140818,39128,719211,-1,-1,-1,-1,358267,-1,338872,-1,827941,-1,-1,411450,180378,621623,802122,833674,-1,-1,-1,-1,-1,286436,-1,998173,660646,921816,-1,-1,-1,-1,-1,44496,728893,69339,868436,717272,564702,601206,922565,-1,-1,-1,-1,680900,-1,351806,-1,493152,564459,-1,528499,-1,-1,297789,211910,732207,-1,590838,-1,152586,117815,-1,301987,121093,500766,-1,-1,-1,381776,-1,-1,-1,534733,-1,-1,484222,-1,508349,742283,672576,378538,152912,964907,-1,149590,-1,-1,453665,-1,174349,80782,-1,145830,75461,-1,524722,-1,-1,979201,806169,-1,-1,998054,-1,-1,-1,275740,729885,-1,-1,-1,70882,-1,550203,427415,-1,-1,101949,-1,-1,-1,-1,70112,-1,943530,269595,-1,-1,843376,270913,-1,479142,565023,-1,-1,297317,456105,-1,-1,137827,291734,-1,-1,-1,-1,752142,954324,-1,89901,-1,-1,374422,-1,-1,-1,923326,600075,969181,963382,-1,519464,-1,39833,-1,136928,-1,731617,949422,524720,-1,-1,-1,-1,795837,-1,-1,888589,670574,-1,592177,217034,618553,-1,-1,600205,-1,231820,-1,38947,-1,213139,113877,192939,-1,-1,-1,-1,625391,391986,-1,-1,665645,456461,-1,369664,-1,-1,-1,-1,652218,702358,857646,13931,919925,-1,-1,-1,156101,-1,-1,220020,268607,-1,656998,-1,111243,421110,-1,407658,-1,-1,158254,-1,357449,-1,491597,-1,-1,420254,-1,910201,-1,-1,459856,-1,361120,524703,-1,-1,575097,-1,-1,494899,-1,116965,-1,452290,-1,-1,447089,-1,815545,875091,954910,-1,-1,64293,796138,210758,-1,-1,207963,3743,-1,-1,404257,-1,-1,-1,-1,747619,-1,891010,-1,660915,706814,-1,-1,-1,496345,932478,-1,796008,984875,-1,925763,-1,151922,-1,63383,250596,-1,928180,-1,-1,305749,-1,198821,997995,669099,-1,-1,746374,518964,-1,567748,-1,-1,947944,-1,-1,-1,-1,496568,417664,-1,857355,-1,-1,824574,-1,43544,753248,-1,863964,-1,2634,-1,506420,-1,-1,-1,839344,-1,752346,233206,461966,-1,-1,937117,-1,-1,509520,637451,-1,-1,-1,-1,654520,102394,-1,-1,778579,-1,670828,155077,521882,-1,-1,-1,-1,242984,922194,14858,921471,44265,351301,35247,64958,-1,-1,-1,-1,-1,-1,321998,-1,-1,-1,794878,-1,-1,530221,482363,990419,731670,964175,-1,651206,42471,-1,-1,295230,181801,-1,-1,624180,82803,611758,-1,-1,569333,997234,59365,-1,-1,187901,-1,-1,-1,-1,584925,527359,-1,-1,69024,184844,236672,-1,291277,-1,-1,433387,-1,834207,232775,-1,782691,-1,97340,696134,847244,-1,10280,348743,225829,-1,-1,887346,-1,841012,923419,432325,-1,-1,-1,-1,-1,110163,-1,-1,29839,-1,534317,-1,-1,543733,-1,310742,893993,-1,-1,510878,-1,653893,-1,352801,999203,93516,399114,799017,-1,662250,773078,-1,749867,336164,-1,867881,830125,616059,-1,600590,918804,524398,-1,16866,798558,-1,694528,-1,-1,31582,-1,68836,311224,-1,936221,-1,691107,-1,761633,88476,-1,636687,163407,838847,263582,806852,226103,270396,190653,532197,69906,-1,108211,967481,468752,462591,-1,869131,408279,841754,693233,-1,-1,926561,228511,432122,866087,876293,770779,16758,-1,364267,883704,668183,469811,844041,20024,348229,765010,-1,425585,-1,282045,-1,-1,582089,-1,-1,569109,-1,942372,792696,917487,208066,837076,8066,-1,909573,-1,-1,966998,730389,261625,486915,73226,48935,389947,725815,-1,990978,-1,799455,-1,-1,564823,938464,382649,-1,-1,-1,-1,662048,-1,-1,-1,-1,405442,-1,667200,516835,-1,357350,-1,919008,-1,109318,-1,-1,-1,-1,-1,830155,-1,-1,-1,941418,-1,811850,578381,195492,256555,45041,-1,-1,-1,-1,-1,31335,-1,328831,138653,-1,-1,762288,-1,-1,-1,-1,629501,-1,-1,721383,-1,-1,483810,-1,283705,-1,888769,-1,-1,-1,-1,137490,-1,-1,249233,330275,-1,704432,-1,-1,-1,869598,531220,968671,350477,-1,496992,-1,71175,244936,762959,983710,382171,-1,51247,-1,990855,381500,347546,694269,-1,-1,-1,10274,-1,674135,-1,841660,-1,49020,940826,595830,-1,984442,-1,-1,470215,-1,-1,-1,-1,511131,-1,-1,529232,93313,-1,738836,-1,609439,-1,88853,387119,-1,-1,-1,799524,312878,674036,-1,995202,851181,-1,-1,656920,-1,-1,78138,117964,-1,-1,-1,-1,268470,-1,570198,-1,-1,511551,-1,-1,-1,442328,-1,-1,-1,287356,-1,553827,50416,-1,85297,-1,773307,-1,-1,-1,115212,227223,-1,-1,-1,884644,250206,-1,844828,-1,-1,-1,156471,-1,-1,280482,-1,-1,-1,269610,517704,-1,-1,-1,-1,769799,-1,-1,-1,113613,-1,-1,-1,161292,-1,853954,-1,-1,46079,-1,-1,-1,557825,655457,157297,474849,-1,-1,243008,226365,-1,600299,725691,-1,143140,-1,-1,453387,404071,954644,-1,-1,663365,999760,519649,-1,262439,-1,59085,-1,-1,500789,954871,-1,-1,272630,418139,195001,-1,-1,-1,498756,530081,-1,-1,892093,-1,-1,995835,281328,158822,-1,358919,-1,60896,651765,347058,-1,-1,177608,404747,-1,832708,85757,-1,263752,-1,414987,864111,641756,747746,-1,-1,598310,-1,908294,951534,-1,523842,713517,-1,-1,-1,-1,-1,-1,-1,85770,489318,297036,441863,994188,-1,-1,-1,-1,608120,356198,593179,498563,-1,706852,128830,-1,-1,-1,-1,171414,-1,-1,-1,198119,951660,-1,762670,-1,-1,-1,-1,639091,968569,664400,198672,-1,-1,152346,146831,388682,584329,-1,744745,86869,-1,-1,204970,703896,-1,-1,-1,-1,801160,-1,770086,323449,-1,596069,-1,-1,72134,-1,681921,475017,167457,-1,-1,260476,313400,-1,-1,-1,11408,147721,422269,-1,555780,11305,-1,-1,126851,-1,244979,511063,-1,652169,-1,-1,802761,-1,732835,772891,144545,-1,57371,496922,839259,-1,-1,667222,-1,915226,-1,57548,544660,79788,-1,724593,969863,856081,351994,831187,-1,-1,834326,437116,425729,-1,694853,180455,-1,-1,-1,187860,-1,-1,-1,296325,149586,-1,-1,486343,-1,155826,-1,-1,-1,545998,-1,144385,-1,543150,51562,-1,264566,-1,301223,889477,728170,711484,736380,946478,-1,-1,400275,973723,-1,-1,-1,-1,-1,-1,-1,61633,528624,-1,-1,173625,-1,-1,177906,-1,-1,665073,788885,190012,-1,760289,-1,-1,617400,441873,-1,-1,-1,206354,674760,-1,673262,387045,412258,94796,909217,-1,92673,952316,-1,-1,450285,258115,851216,390281,862168,-1,345603,-1,570043,-1,-1,-1,-1,797326,302684,647924,-1,-1,-1,-1,-1,-1,610990,243221,177511,-1,-1,-1,388012,21049,-1,330227,-1,-1,600230,669865,-1,728031,-1,-1,467799,685203,-1,-1,-1,826505,-1,-1,-1,261157,-1,-1,-1,255324,-1,325585,-1,726076,824001,914670,581823,-1,622549,-1,580929,-1,816225,920738,-1,-1,548936,-1,521412,-1,-1,915427,576491,513923,-1,54015,852571,516006,-1,27812,454338,-1,-1,361299,100601,491138,757193,-1,-1,323477,84930,-1,-1,-1,271603,-1,800814,792597,-1,632231,-1,-1,-1,502632,455385,509727,-1,851139,118119,450482,-1,-1,838695,396721,331827,236323,38368,-1,-1,374011,-1,807618,36779,566585,-1,-1,316979,-1,-1,-1,195668,-1,-1,923872,-1,-1,715427,304491,918281,-1,-1,583661,-1,662894,437273,-1,-1,-1,-1,-1,-1,513574,335479,-1,-1,-1,-1,997378,13166,-1,564311,820930,-1,-1,828740,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,696804,529400,-1,235212,741245,205059,-1,-1,-1,-1,-1,-1,188285,783789,-1,-1,870520,-1,-1,-1,-1,-1,-1,-1,218902,750833,-1,-1,71913,-1,523212,-1,-1,-1,799635,-1,-1,-1,354992,-1,112176,923443,3489,232020,-1,-1,762251,34982,-1,-1,162647,798467,510513,-1,357266,-1,925560,976276,-1,733564,563113,-1,329520,795574,507524,282364,653511,176428,-1,-1,928282,-1,796281,-1,519902,735536,926700,174331,-1,-1,214677,545525,269392,815224,-1,317975,450505,-1,-1,33286,-1,-1,35532,-1,-1,-1,-1,-1,-1,84855,-1,343696,-1,-1,472995,-1,283597,-1,113542,-1,31253,-1,-1,196502,-1,-1,758538,404502,-1,-1,-1,-1,636831,405165,-1,-1,364310,790258,913412,-1,-1,-1,904359,-1,-1,443268,428532,328815,-1,894448,-1,-1,961208,-1,-1,969462,-1,-1,-1,790996,-1,369040,605275,-1,-1,-1,-1,-1,-1,366416,-1,-1,-1,-1,-1,68972,-1,96240,-1,696446,541447,70065,-1,665113,-1,-1,-1,-1,-1,883578,-1,140139,8948,826172,208513,-1,914691,330057,656042,162016,-1,-1,935454,-1,-1,-1,-1,278618,87533,118480,728296,-1,365547,-1,19505,557015,-1,357495,523370,-1,813792,-1,59572,159092,-1,-1,168989,24316,903918,-1,23339,759529,574056,-1,107974,348751,139921,549962,-1,651423,-1,-1,257961,275159,-1,604134,-1,-1,-1,-1,-1,788518,-1,892763,-1,-1,436579,543325,-1,-1,983125,871273,-1,-1,-1,-1,972205,-1,-1,524550,-1,211160,-1,605280,-1,383571,14253,379853,260439,-1,-1,102978,992372,-1,-1,868047,-1,296616,980014,838360,-1,7942,544709,270363,566388,300385,446344,617973,169935,935952,237948,805450,177540,64583,-1,426746,859936,280736,696163,-1,-1,-1,339987,652522,153480,-1,-1,-1,505423,351174,642527,-1,-1,-1,-1,-1,747161,-1,319751,-1,507369,914751,28747,901632,523694,790447,-1,-1,-1,910547,718681,-1,944127,234247,302710,-1,975928,863935,-1,700618,165304,489379,-1,974359,-1,270552,530794,919363,-1,-1,-1,-1,104174,-1,768996,210720,-1,117081,366514,279317,262750,812412,222662,-1,394906,-1,978488,-1,-1,809741,-1,759731,439559,616302,637180,-1,-1,-1,-1,-1,-1,-1,-1,-1,11901,309202,688933,-1,791756,-1,499295,203704,80452,-1,-1,642378,869696,-1,-1,173254,961746,354141,-1,990278,696234,261458,707346,-1,371285,-1,-1,825832,-1,-1,-1,8107,-1,257958,836251,123922,245974,-1,-1,-1,-1,328522,253882,-1,388436,-1,682652,728476,755961,-1,106000,-1,-1,984821,574654,-1,600034,327295,-1,806203,-1,44299,284955,678537,869838,234090,-1,-1,-1,984068,-1,220004,-1,231381,273864,-1,-1,171502,993753,-1,-1,-1,701763,802185,276725,952126,-1,-1,688875,-1,-1,40477,-1,546596,-1,822211,333997,73382,-1,677416,-1,167984,-1,-1,563071,-1,784722,879794,-1,498978,-1,-1,959931,-1,-1,824212,940923,-1,86776,891390,-1,-1,913572,-1,972945,-1,-1,-1,999112,-1,822899,133883,-1,245189,335502,-1,934617,505029,-1,-1,796581,-1,89260,130442,356154,-1,992485,6597,-1,-1,675573,-1,-1,-1,189601,-1,630995,-1,-1,536938,-1,-1,705469,-1,100356,-1,-1,-1,123978,-1,-1,-1,-1,224122,-1,-1,415222,-1,357917,87442,-1,493013,-1,463306,481695,-1,82070,-1,-1,-1,-1,117238,725830,564682,-1,-1,-1,-1,-1,-1,626041,361655,-1,874799,-1,132070,350356,338060,-1,-1,301573,-1,525839,656606,317612,-1,874652,-1,23086,406964,-1,415340,-1,240979,328031,-1,-1,-1,417474,-1,-1,31937,301571,-1,-1,254869,417332,3268,-1,708104,-1,-1,794435,-1,809258,592846,-1,984610,-1,-1,-1,586189,-1,-1,678962,-1,570528,-1,-1,538180,-1,233810,548665,405410,322853,-1,854649,-1,-1,-1,610852,461526,183208,-1,80748,-1,-1,198304,-1,520178,-1,-1,-1,-1,-1,-1,117182,902122,-1,176396,-1,-1,-1,492527,-1,-1,401316,468436,471840,533441,-1,918825,-1,-1,767367,231763,-1,582588,-1,-1,8936,906912,135087,-1,362564,250382,-1,-1,-1,-1,221113,-1,-1,-1,759803,-1,975441,322811,532703,-1,-1,191863,-1,376844,628084,46708,-1,-1,476738,-1,827748,-1,-1,541567,939741,18477,-1,-1,-1,-1,-1,-1,871143,-1,-1,868551,-1,301869,-1,-1,-1,466627,598785,843252,-1,-1,345671,-1,-1,29106,707577,-1,17283,-1,380889,412194,618034,-1,894264,-1,344817,110289,597999,-1,-1,166792,138569,937103,775665,297341,-1,463002,-1,-1,68922,-1,-1,-1,-1,-1,-1,-1,-1,123110,130683,-1,396953,-1,-1,-1,27006,328422,-1,-1,-1,-1,-1,955667,-1,507476,-1,-1,138146,885608,-1,-1,-1,-1,986290,686943,449922,764550,-1,378672,-1,-1,140431,-1,-1,-1,276906,413220,590713,-1,926396,-1,-1,281933,475991,288539,500290,689190,-1,-1,177640,-1,-1,-1,-1,528451,-1,851502,967266,533529,-1,234251,-1,-1,25219,-1,115384,-1,-1,-1,-1,813735,-1,835043,-1,-1,-1,313771,-1,-1,198840,190296,977550,-1,696274,-1,-1,543140,-1,-1,397822,838320,171083,-1,246094,811280,-1,-1,593247,-1,-1,856882,338204,-1,-1,-1,198242,-1,-1,-1,-1,-1,650765,-1,16115,-1,-1,681484,736224,-1,192377,-1,-1,-1,628589,-1,799142,398649,-1,-1,-1,-1,889467,246838,854301,917436,-1,574553,-1,329296,714855,978795,847493,18612,665287,-1,-1,966570,-1,116260,932012,-1,-1,366168,517297,770981,605776,348982,471717,415821,288995,254556,-1,723103,-1,-1,652603,-1,-1,177154,739467,293894,589790,-1,356155,-1,680192,978322,-1,524700,-1,-1,133881,673930,-1,-1,-1,103809,227761,436810,-1,-1,-1,533410,-1,-1,-1,505227,738715,530511,-1,-1,215241,-1,-1,-1,-1,-1,-1,-1,514412,-1,251313,-1,-1,-1,-1,-1,-1,361055,262651,429782,590469,-1,669150,-1,23134,239246,549849,100436,371898,182250,725529,662857,-1,-1,-1,-1,-1,526242,311302,791654,-1,967379,79284,-1,-1,536874,-1,-1,119629,149528,-1,223233,-1,885565,777224,344095,647718,-1,228255,982541,215487,-1,-1,-1,985912,-1,918126,340226,578847,662379,-1,-1,-1,-1,155671,-1,904531,-1,-1,456156,311334,894381,225980,-1,-1,-1,533499,-1,623938,-1,820167,-1,999831,210642,-1,344922,555604,197277,-1,-1,370034,123744,-1,-1,-1,4413,734969,961189,309259,-1,699981,730590,-1,910569,761277,487377,-1,-1,-1,605479,-1,-1,235022,699121,-1,-1,-1,-1,-1,888170,-1,-1,22081,691297,813936,778732,799387,279402,-1,-1,13313,800760,759007,-1,-1,-1,-1,355650,-1,-1,268350,-1,893790,-1,-1,429074,717803,-1,-1,-1,159899,-1,-1,-1,-1,-1,945922,877121,778025,990181,-1,563861,-1,-1,-1,-1,-1,416599,376221,-1,436710,-1,422707,-1,-1,-1,-1,5682,850538,256847,-1,403392,717998,933473,627590,600605,-1,-1,868493,330210,430472,510195,73136,846111,-1,-1,539171,763576,-1,143191,-1,-1,-1,-1,-1,-1,-1,883321,369350,-1,510918,491896,426857,-1,36390,123737,-1,-1,185967,-1,-1,143239,698348,-1,-1,-1,-1,444630,-1,708651,283573,-1,357579,26883,258415,-1,979645,63369,325272,-1,-1,742155,612178,-1,216320,738981,179924,370507,283272,-1,218038,240781,404147,18170,353473,-1,-1,810863,789548,-1,329394,170044,-1,129465,344542,794378,46108,844787,986296,749653,-1,-1,-1,-1,-1,-1,298181,301294,-1,170315,-1,-1,-1,-1,-1,-1,344164,-1,180517,463783,-1,-1,226191,276597,-1,877959,825743,832364,-1,-1,985868,-1,-1,821064,-1,-1,-1,692752,606066,-1,-1,-1,497812,783309,-1,179015,-1,-1,683984,515895,608799,-1,-1,-1,188996,-1,293733,-1,-1,545005,-1,505934,662617,488152,116647,-1,902695,410523,264219,-1,355189,379698,-1,-1,446493,466500,-1,949824,136266,48800,23971,-1,-1,-1,996475,937568,-1,475258,-1,353607,-1,657091,-1,615185,860394,-1,-1,64059,-1,-1,72743,-1,97645,-1,-1,-1,-1,311202,-1,745911,355489,482189,-1,140051,815175,-1,-1,578598,511360,152431,-1,-1,-1,-1,-1,-1,280070,416833,129304,961536,634966,836783,-1,441918,-1,-1,206339,790063,67863,-1,678870,962648,-1,303500,-1,808736,-1,936053,-1,-1,-1,334910,775631,457562,606481,54838,557942,-1,870712,-1,-1,-1,-1,-1,-1,711975,403872,998737,617256,754478,434464,272797,-1,-1,79357,-1,878384,520621,-1,434035,45367,-1,-1,-1,-1,-1,-1,-1,-1,782932,182136,874626,628349,974979,-1,610837,948741,-1,-1,599063,-1,-1,-1,577927,-1,-1,811831,-1,-1,-1,557933,728996,903643,-1,-1,672411,419715,-1,-1,-1,466978,184200,-1,-1,-1,-1,-1,-1,-1,947710,552921,741940,158229,371980,-1,935358,464918,-1,-1,285834,-1,-1,-1,175463,187764,439695,82568,35830,-1,973674,415883,-1,810329,-1,-1,709338,-1,736451,712532,134077,-1,858563,477041,-1,-1,-1,337613,464915,-1,-1,-1,-1,-1,338840,352062,138169,844079,-1,-1,236318,276241,360762,-1,-1,200137,622608,418799,-1,566859,638939,-1,-1,-1,-1,-1,-1,49715,825352,-1,366922,-1,-1,-1,-1,66582,872027,282913,551931,937585,-1,-1,-1,251408,956410,-1,788901,-1,108629,369927,-1,332508,-1,-1,596403,-1,960898,-1,-1,-1,-1,-1,-1,-1,598488,464310,578957,-1,113337,-1,876528,-1,-1,-1,590618,555740,-1,588373,-1,943664,818774,416316,947334,423684,843723,-1,-1,445046,743251,711420,655823,602801,625643,-1,-1,-1,-1,291616,-1,-1,675536,-1,-1,428614,-1,441649,92634,993638,-1,-1,106064,558044,550733,-1,-1,-1,-1,39042,-1,361579,-1,60829,757478,665385,-1,-1,805470,-1,-1,650960,12992,-1,506855,-1,515807,882757,-1,645301,-1,848315,-1,522777,180292,176602,-1,-1,899726,638038,-1,141549,-1,148051,-1,-1,163217,-1,-1,672320,-1,-1,-1,-1,107280,-1,-1,-1,566031,-1,-1,109617,835205,-1,-1,-1,-1,-1,-1,6650,-1,811593,-1,-1,-1,340813,515063,-1,123729,-1,-1,380665,113240,-1,290191,-1,558415,-1,119686,489885,52021,816569,217177,-1,468180,530596,344604,-1,428211,654969,-1,517853,87868,-1,-1,340750,833351,-1,-1,-1,-1,314329,386429,-1,-1,867407,-1,-1,-1,-1,533576,-1,-1,-1,-1,-1,691069,-1,-1,-1,901062,705278,-1,-1,-1,294828,593906,-1,-1,904949,739046,-1,-1,183099,816352,-1,-1,646550,-1,259702,373755,116438,896389,974551,-1,-1,939749,824194,-1,345366,-1,160911,271710,-1,-1,741236,-1,36925,-1,558246,-1,444433,75116,418868,341079,-1,-1,-1,-1,-1,-1,-1,-1,748879,241522,-1,-1,946576,362964,109977,-1,478100,-1,90545,-1,47173,-1,533577,193786,655775,764490,416906,756656,-1,259232,-1,-1,-1,-1,-1,-1,913882,826142,-1,-1,-1,685243,272,-1,472146,-1,408337,-1,-1,159507,95830,79904,930999,-1,-1,-1,-1,350770,433814,-1,-1,367085,-1,241758,350382,-1,-1,-1,-1,-1,-1,280841,209013,-1,516106,39858,-1,-1,-1,-1,406093,-1,182316,427525,-1,-1,651368,284639,-1,-1,-1,-1,820538,-1,-1,394903,-1,417967,-1,888986,-1,-1,-1,-1,153436,-1,977112,975287,339932,128476,131585,539867,-1,-1,482098,317272,714382,813338,174817,-1,626021,-1,-1,-1,800016,-1,788388,-1,577643,-1,-1,-1,808379,804026,881355,612040,-1,295880,-1,-1,91636,604579,89812,-1,-1,-1,-1,935824,896858,-1,340979,-1,-1,758645,419795,-1,998447,735802,540791,-1,526359,385522,-1,536723,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,112135,539325,353237,364086,563928,-1,-1,-1,336138,-1,124128,633442,948254,893309,-1,-1,-1,-1,547452,-1,840181,240124,395694,269470,106944,951915,411391,134433,434054,345480,940,-1,-1,241542,343022,-1,369989,82984,870744,-1,-1,-1,40746,330516,-1,351166,606677,78097,824376,546521,933180,-1,70531,-1,530206,-1,645829,203205,771595,657013,135622,521845,-1,407941,11962,780996,230111,-1,-1,388118,-1,-1,-1,-1,-1,344218,64966,-1,537518,-1,-1,840316,845630,882602,-1,-1,-1,-1,875473,426259,-1,-1,400588,-1,-1,-1,-1,-1,-1,431035,409947,514996,804884,-1,579344,-1,392405,-1,-1,-1,824197,796218,-1,-1,426303,458458,-1,682624,948244,909112,-1,-1,-1,-1,-1,-1,-1,558578,725255,-1,-1,-1,-1,-1,608517,-1,-1,458029,1020,-1,98365,57028,-1,864789,753988,107178,-1,903409,344686,253348,320172,958806,-1,563886,-1,434090,103519,-1,355655,380277,-1,88170,-1,335387,783779,928425,-1,-1,-1,-1,614453,-1,700856,336177,-1,-1,548076,261799,208961,-1,767944,-1,-1,730187,336459,-1,-1,-1,-1,149729,-1,268392,-1,-1,193242,-1,648349,-1,-1,186258,-1,534966,-1,72010,218265,802474,-1,538559,-1,-1,189461,-1,-1,943066,461910,438830,567770,-1,510720,335160,417777,-1,-1,80147,872102,-1,473494,842529,352229,-1,-1,-1,81635,385853,-1,-1,-1,-1,-1,775404,15659,351880,-1,412313,-1,943846,-1,-1,208149,616753,-1,893613,-1,841008,-1,-1,-1,-1,-1,-1,-1,-1,902601,-1,849888,-1,-1,-1,-1,-1,-1,-1,-1,-1,626516,-1,498661,-1,899611,-1,53687,-1,308233,-1,-1,53384,249183,-1,-1,-1,284510,-1,-1,-1,804325,-1,854246,164525,-1,-1,-1,888142,736352,283239,-1,-1,-1,237582,-1,-1,825125,364999,574284,87960,927184,-1,833540,11933,-1,-1,-1,582432,-1,455332,342907,668636,-1,515488,146328,-1,249078,60527,-1,595136,448106,-1,-1,-1,-1,-1,-1,-1,19644,-1,302217,-1,747601,811090,922652,300665,-1,45598,-1,-1,-1,-1,-1,184397,898203,-1,-1,-1,96164,-1,-1,843084,-1,-1,290775,-1,920422,-1,674452,-1,914126,-1,-1,-1,418564,449714,-1,708866,-1,-1,-1,-1,-1,-1,-1,-1,253388,910610,-1,-1,89625,347879,-1,386555,571773,200590,339794,-1,-1,991586,-1,-1,875871,-1,-1,-1,640461,-1,-1,-1,41274,-1,672207,682671,-1,-1,-1,-1,-1,826321,-1,240938,-1,760487,-1,342273,-1,-1,-1,120954,549453,17481,794306,255904,597585,-1,-1,840923,-1,-1,-1,294695,927324,374039,922782,140663,-1,-1,127308,-1,109768,69132,1235,-1,-1,-1,-1,-1,300039,-1,-1,61764,476031,-1,-1,-1,-1,-1,986664,670528,-1,-1,489490,-1,-1,-1,442074,-1,-1,831038,-1,-1,542252,679498,-1,855709,673267,502748,-1,-1,-1,736669,-1,723951,901937,707540,-1,769079,-1,-1,-1,227415,-1,-1,776269,56171,-1,-1,529788,276109,296884,-1,684694,-1,526136,903903,771210,-1,-1,-1,546497,-1,-1,-1,272987,-1,-1,705135,612709,-1,-1,-1,-1,-1,116337,-1,-1,167379,234042,656376,-1,288841,30130,-1,-1,-1,-1,78872,551201,517983,92755,353197,545280,727710,-1,583089,876235,821508,-1,366449,-1,798981,-1,588043,500974,-1,992276,-1,-1,405913,-1,553871,822332,174678,61097,681247,665182,912768,-1,-1,-1,-1,110622,675339,189237,602000,-1,-1,-1,610340,314024,472731,-1,930236,-1,160449,-1,592460,730379,443176,132572,356444,174067,-1,990459,-1,483330,-1,142152,801602,294948,188978,-1,200508,923343,-1,-1,-1,682537,-1,617174,789363,-1,75801,-1,-1,-1,773870,-1,258284,-1,344449,-1,19542,-1,-1,70468,-1,295938,716667,-1,832338,-1,-1,-1,-1,211105,-1,193096,-1,858332,408497,530357,307340,749419,182543,428018,-1,270187,-1,515059,916861,-1,767701,467283,484603,193065,-1,-1,-1,-1,941792,85472,-1,-1,-1,-1,-1,-1,-1,71164,-1,-1,647799,-1,523972,-1,325713,-1,-1,7040,992603,45971,-1,724338,354227,624145,276975,506285,-1,684390,-1,-1,931603,981754,-1,-1,-1,208708,-1,72145,-1,-1,289627,-1,742025,-1,309195,-1,-1,-1,-1,-1,76479,-1,-1,-1,373374,-1,107239,347915,-1,-1,-1,303151,-1,-1,540046,300116,-1,200882,-1,743574,989624,-1,-1,930181,-1,570608,486899,770175,-1,-1,524508,-1,997371,621446,-1,-1,3497,160006,-1,706225,-1,852663,278841,810619,-1,520987,825319,40176,-1,-1,878981,44748,-1,186641,-1,-1,255490,-1,-1,-1,-1,522408,-1,613025,182403,70385,-1,542160,-1,967800,272254,-1,148521,-1,413436,510208,535826,-1,-1,74690,-1,-1,-1,-1,40443,-1,-1,540663,307935,947365,247367,263904,260004,-1,-1,501466,98914,987368,-1,-1,830361,-1,45144,123983,-1,211139,217377,191955,996516,-1,996112,756726,483005,960775,-1,-1,-1,-1,410637,-1,441803,631411,-1,876813,-1,289662,-1,596205,227611,-1,-1,337688,-1,-1,145254,-1,-1,787925,-1,496894,-1,906668,100897,-1,-1,-1,888776,-1,-1,209591,502018,772892,666298,-1,-1,-1,-1,-1,48426,-1,-1,420891,-1,-1,657203,106747,373948,-1,-1,328523,937406,56481,-1,-1,-1,-1,262378,-1,-1,-1,936170,628007,799269,650406,-1,-1,155290,502431,-1,-1,600211,487886,302268,538020,676906,-1,359638,-1,906017,506654,-1,774463,-1,-1,-1,568045,479804,218519,695814,59011,-1,822922,406420,24566,-1,853796,-1,-1,-1,515003,-1,-1,-1,-1,-1,-1,956555,1852,549021,-1,-1,-1,185965,-1,655925,807954,397872,-1,-1,-1,587364,-1,-1,888451,935312,-1,197247,-1,-1,63389,-1,-1,-1,-1,-1,-1,898280,550177,-1,452012,-1,504092,297312,-1,758323,947996,782625,735034,326717,309480,764257,-1,-1,-1,124441,82532,218219,-1,-1,-1,-1,-1,118242,923536,-1,-1,-1,-1,-1,823155,-1,-1,-1,-1,226914,527383,-1,-1,218458,-1,-1,963398,699276,119967,194513,-1,282077,-1,926447,-1,-1,486199,-1,236177,359523,-1,863887,717826,-1,472280,807640,305126,752547,-1,917905,216046,-1,-1,571682,-1,-1,575388,661320,-1,-1,508936,417757,152714,-1,450680,-1,248839,709231,-1,-1,375745,535999,-1,-1,-1,-1,321415,-1,356782,182536,-1,61509,852054,282874,-1,849176,759408,-1,718686,-1,-1,-1,875174,-1,-1,797631,-1,-1,95786,-1,818856,661273,-1,601164,808461,929001,-1,94158,-1,-1,779282,535992,326250,-1,-1,789143,100943,291658,-1,572897,388227,-1,22961,-1,683200,182064,-1,839587,970058,-1,-1,535968,28890,-1,-1,-1,276213,646112,750135,142666,-1,-1,16107,-1,424525,502963,931231,-1,-1,-1,448423,-1,-1,867671,-1,620228,-1,-1,497878,76215,-1,-1,332096,-1,-1,-1,-1,281695,-1,-1,-1,200367,911964,754868,291515,-1,-1,149636,-1,-1,-1,800701,-1,688529,-1,-1,-1,235953,-1,-1,-1,-1,-1,232120,212118,-1,-1,85319,127056,713596,-1,-1,-1,-1,20685,-1,283367,-1,997330,805504,-1,445243,-1,840768,384477,72748,65887,-1,256836,-1,977612,202065,-1,-1,452828,-1,-1,239097,974556,-1,-1,-1,454029,691661,237729,-1,511863,267349,860859,695683,-1,-1,459053,-1,12583,559398,-1,274655,482340,-1,159577,-1,-1,-1,-1,-1,735921,-1,150339,809689,776489,712679,-1,591253,-1,-1,-1,-1,-1,300637,-1,-1,367434,84055,61550,-1,535305,925850,-1,-1,802550,-1,611807,-1,-1,639445,-1,827591,21556,-1,-1,457042,-1,-1,585375,560407,-1,995592,-1,-1,-1,-1,952764,-1,-1,-1,-1,295264,-1,-1,-1,-1,140929,-1,83792,-1,-1,262186,373176,104636,-1,235588,192134,460818,870037,-1,-1,261663,-1,-1,-1,36402,962268,-1,-1,-1,-1,128638,-1,862162,-1,978416,-1,-1,762653,966307,545078,139323,652989,-1,879434,-1,883304,-1,323690,-1,-1,950692,-1,531324,487622,331476,813706,954386,-1,-1,-1,16483,53868,966529,495285,3528,-1,-1,-1,74468,-1,-1,-1,154160,630757,-1,51476,881167,485527,892389,-1,-1,334106,-1,-1,550246,549081,920991,421998,614927,168557,480876,-1,-1,-1,581888,286699,-1,-1,-1,-1,71544,964147,-1,-1,-1,979116,579187,503647,-1,-1,-1,26591,878815,161325,626393,550632,-1,-1,-1,508637,-1,164687,301430,509909,-1,146439,-1,416029,-1,446633,207497,-1,-1,-1,-1,-1,-1,642077,278931,673320,167702,-1,665231,128218,-1,254729,-1,-1,-1,-1,-1,-1,593285,864750,448509,337818,500021,599289,-1,195822,744495,-1,-1,731769,-1,-1,14311,-1,912596,-1,-1,983652,-1,829474,810193,844054,-1,528449,-1,790253,416327,-1,-1,543706,442388,-1,-1,-1,342593,606595,696907,658503,938650,705332,-1,-1,-1,-1,-1,-1,209035,-1,86809,298090,-1,602045,954578,701581,-1,-1,-1,335825,-1,-1,892629,-1,309325,-1,-1,810890,-1,555695,-1,287850,766741,-1,800956,968247,153960,-1,708500,-1,58139,230650,-1,654498,-1,727306,-1,-1,-1,-1,-1,584806,16970,-1,888338,995825,368111,-1,-1,-1,-1,-1,-1,282589,-1,-1,867695,-1,-1,46687,990822,-1,-1,-1,704202,-1,-1,-1,321747,703254,381598,-1,-1,-1,-1,366672,774357,-1,531071,608476,-1,-1,521692,313983,-1,-1,741718,285206,14575,217542,-1,232223,-1,888579,435133,-1,494945,-1,143563,-1,430835,-1,-1,673527,868857,-1,-1,-1,771346,-1,485639,664549,794607,563503,-1,-1,696770,517206,188756,312641,-1,-1,436120,378803,126092,551066,-1,-1,995550,617951,-1,-1,40181,-1,925684,265559,390977,-1,-1,-1,752073,-1,-1,546948,804633,423941,-1,340618,169538,-1,441877,-1,672484,348249,621568,-1,515525,999454,89125,735231,119008,-1,747917,-1,-1,299792,293521,-1,122655,193086,-1,588135,-1,-1,-1,-1,966305,29258,-1,925351,-1,102011,102445,-1,-1,783277,-1,-1,71251,219338,-1,-1,90047,284754,-1,-1,744243,187138,872452,-1,-1,-1,-1,586350,-1,-1,-1,237409,164008,672266,-1,-1,677614,639099,72039,446480,-1,-1,-1,695502,-1,-1,192694,769638,778357,-1,649226,731895,841649,-1,-1,-1,830979,-1,-1,-1,931222,895939,892183,-1,-1,737134,436161,-1,-1,431701,-1,-1,655167,270988,824703,777322,95172,-1,-1,403967,-1,-1,-1,-1,-1,-1,529356,401741,-1,672402,543320,151950,-1,-1,-1,330250,-1,587416,89291,-1,512180,-1,815957,836597,797469,340927,531094,747489,-1,143302,-1,-1,253657,571654,59577,-1,-1,132993,-1,-1,262610,-1,-1,-1,185762,-1,-1,-1,572029,-1,436526,-1,873215,886121,469916,515423,-1,610499,603601,984230,736311,-1,-1,-1,-1,254306,937904,997669,628434,950011,-1,263086,-1,116064,-1,-1,-1,-1,805559,-1,-1,575181,-1,859353,841446,-1,-1,930939,922784,990913,705139,-1,339995,530396,230294,82559,-1,-1,591804,-1,-1,-1,-1,641458,-1,-1,324256,-1,971812,147368,-1,-1,458021,465760,221684,725917,771384,88255,225718,381310,-1,-1,663652,973351,-1,913965,-1,99884,-1,795884,880429,-1,733458,-1,-1,350458,-1,171799,978993,-1,697849,814685,-1,834525,892764,-1,736500,-1,-1,364375,-1,405570,-1,-1,977264,-1,383501,-1,-1,-1,-1,-1,944027,672363,502625,238947,532637,-1,873307,-1,688967,601203,519008,-1,-1,170130,15635,2254,-1,4340,312421,501478,-1,-1,-1,806818,-1,468579,880261,-1,-1,589907,846378,-1,-1,790513,740857,502060,49551,858827,738474,-1,38989,718883,898728,-1,-1,643633,231150,583117,522417,-1,-1,-1,207944,353073,-1,-1,864416,487003,201284,195205,378117,-1,-1,184315,-1,251298,482600,-1,202808,113754,903929,618283,939606,-1,700499,82312,480641,338762,-1,-1,147367,938791,417368,75424,-1,-1,380864,20513,657701,-1,88164,-1,96864,-1,674251,-1,-1,-1,474863,890429,-1,848672,-1,-1,-1,594223,-1,-1,-1,-1,-1,479499,-1,362684,-1,-1,765311,-1,-1,-1,-1,-1,594621,753824,770161,-1,338130,593728,-1,-1,990119,-1,700123,-1,134226,-1,-1,-1,222637,805665,404201,-1,102254,26407,-1,673144,136877,-1,96219,789120,725845,-1,455223,-1,-1,408627,-1,847754,304323,-1,-1,-1,-1,-1,881694,-1,836289,212672,-1,628407,727478,-1,178979,465064,-1,-1,837271,704027,-1,543352,310150,-1,-1,-1,803560,919298,635020,972680,482311,-1,-1,657110,650341,-1,-1,782310,-1,283598,302707,-1,-1,515535,350832,678400,127129,-1,-1,511322,-1,398340,-1,-1,805118,-1,-1,939620,-1,-1,-1,-1,-1,-1,167835,501875,-1,-1,419051,-1,306221,-1,-1,-1,-1,894651,201188,-1,468106,156908,-1,-1,252227,-1,846706,222000,966796,329750,-1,-1,598503,-1,232328,447172,-1,-1,-1,201924,96976,-1,-1,-1,293297,-1,786421,-1,-1,-1,429088,983798,182735,704803,-1,602556,-1,-1,945703,-1,617347,574692,-1,19129,895635,-1,-1,7117,-1,-1,515114,-1,-1,831323,-1,72921,-1,-1,110159,915563,-1,-1,756667,354352,142346,386998,528363,-1,-1,691757,-1,47100,883948,236843,716328,182173,-1,9113,589613,892905,596003,874875,927862,68414,243602,-1,88649,-1,201265,-1,923436,-1,179036,728025,-1,-1,728169,-1,-1,-1,-1,-1,121741,-1,116416,423547,772386,320316,-1,472566,-1,202874,322331,922559,464734,-1,-1,-1,-1,457856,-1,182290,-1,241687,394894,-1,511269,204030,187445,-1,-1,-1,-1,616664,173473,-1,320670,-1,-1,-1,-1,730084,688435,104741,569328,-1,315094,45414,-1,-1,-1,-1,145728,481075,553884,337180,-1,-1,-1,-1,-1,-1,777683,169235,-1,-1,-1,-1,49136,-1,-1,716241,-1,186657,490579,-1,-1,-1,-1,-1,641180,69015,-1,554154,726174,864280,-1,-1,-1,-1,31675,927722,-1,113949,-1,-1,382220,196036,-1,-1,65917,-1,-1,-1,-1,-1,-1,703413,-1,228022,-1,556187,-1,-1,882750,-1,-1,-1,-1,-1,973985,772806,12833,-1,-1,254789,-1,-1,-1,558336,556616,946581,124829,-1,893594,-1,-1,933637,-1,-1,278578,-1,-1,59073,-1,-1,855783,303426,505821,-1,-1,-1,-1,605894,-1,-1,-1,419208,-1,453066,-1,776487,806961,220783,623236,-1,20912,-1,-1,999590,104284,472653,-1,-1,-1,-1,146157,558775,-1,-1,-1,-1,446499,307456,285984,860454,911255,-1,365584,195094,545885,-1,542517,-1,568094,658967,-1,866863,-1,-1,691392,-1,-1,-1,-1,166067,852127,-1,-1,-1,158842,679212,-1,-1,-1,-1,-1,-1,-1,767053,712143,-1,-1,732116,-1,253823,-1,271782,824914,-1,493645,-1,-1,-1,-1,542957,670631,-1,-1,252862,-1,-1,-1,443284,16438,120776,642377,-1,-1,-1,-1,-1,998308,-1,211154,-1,175766,777438,-1,-1,261700,-1,-1,864813,-1,531123,96016,458673,-1,-1,841993,748759,-1,-1,-1,534876,55537,-1,863477,-1,-1,-1,588673,390880,52936,775478,112951,-1,-1,343538,-1,-1,-1,171249,335713,679997,-1,11437,-1,-1,836725,-1,-1,303476,-1,532696,-1,451549,208677,-1,621782,253884,-1,668377,-1,-1,-1,-1,-1,-1,384062,-1,-1,735438,449830,-1,468215,484064,-1,-1,-1,-1,-1,-1,-1,253834,743386,741220,853422,-1,-1,505426,516615,-1,-1,546581,-1,-1,746862,241533,-1,457381,748976,-1,-1,725637,-1,50053,-1,-1,-1,705878,661447,921148,-1,-1,347790,-1,617612,-1,467204,44193,598118,-1,-1,727159,104537,-1,73944,58842,-1,453907,472631,-1,371142,681540,-1,30437,-1,652064,804575,432367,-1,-1,-1,-1,269151,-1,129313,151408,-1,933550,588175,-1,-1,-1,-1,-1,114686,-1,-1,868189,342986,-1,922199,738118,-1,403276,-1,-1,-1,-1,-1,934916,321300,66103,-1,501228,340180,508608,872807,-1,749807,-1,-1,-1,787457,336589,-1,-1,130485,225248,779960,526467,440106,-1,-1,649662,-1,-1,-1,727784,563812,970201,135380,664212,-1,-1,-1,-1,525278,-1,-1,635817,66921,-1,-1,238187,976859,916197,661297,-1,541833,941354,-1,420371,150702,508662,-1,998372,-1,-1,-1,28472,-1,287007,934550,394967,-1,-1,817257,-1,-1,-1,-1,-1,225425,-1,268131,-1,-1,308238,404458,-1,707260,-1,336900,-1,92576,200301,793739,-1,-1,311491,46940,-1,-1,-1,857584,-1,-1,86802,306588,402621,639985,784919,637688,-1,265982,583365,668656,644876,660590,84009,-1,421377,894235,-1,-1,770096,-1,384327,-1,-1,967132,-1,1593,162656,30957,-1,554886,-1,433723,452874,740494,976218,698816,15878,87312,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,230632,369292,-1,565997,-1,-1,286471,-1,625270,-1,-1,-1,-1,-1,-1,621333,20542,551680,16175,323869,31291,-1,-1,-1,640845,-1,-1,799191,-1,-1,-1,17642,-1,175020,141323,877507,524260,-1,158293,-1,145182,-1,477984,-1,733845,-1,229986,-1,244924,420534,419308,-1,-1,414129,794573,-1,-1,-1,-1,-1,-1,-1,-1,-1,998822,884132,354688,-1,260065,178551,-1,616077,200971,-1,-1,-1,-1,-1,201243,337960,-1,32534,-1,569111,-1,468666,884049,237,912860,868372,524737,895523,168993,796086,269356,-1,-1,-1,-1,752975,69414,-1,971572,-1,-1,-1,849357,166972,783156,-1,711312,341003,54430,-1,674418,-1,-1,-1,-1,135787,969353,-1,-1,81350,-1,621056,-1,-1,-1,253204,-1,40145,126419,723259,666679,-1,625314,619018,-1,-1,-1,790472,852028,-1,857631,512326,-1,-1,-1,-1,-1,382598,836094,399462,995037,-1,957354,-1,423584,-1,-1,-1,227001,-1,-1,432342,-1,832653,179352,399179,-1,954408,-1,-1,-1,608964,805454,-1,-1,832145,341503,564137,-1,60446,300567,975361,-1,216333,647360,-1,906385,76800,596214,-1,748369,-1,190494,-1,-1,125652,-1,227443,125657,421620,91125,-1,208290,270095,447207,772561,103504,654393,-1,-1,633590,-1,635280,-1,651355,543439,697685,-1,-1,-1,904262,-1,369840,-1,-1,-1,-1,-1,-1,417005,-1,-1,-1,-1,388085,-1,-1,-1,387468,-1,-1,284093,-1,970714,81174,-1,-1,873541,-1,2367,-1,367395,777601,741617,-1,-1,611098,-1,715820,-1,-1,58564,-1,484129,-1,-1,387173,51647,-1,-1,352249,276398,945253,74917,912033,775611,726577,-1,849403,96985,841676,-1,-1,716033,-1,-1,966161,839273,-1,-1,-1,-1,-1,635733,-1,602043,-1,66220,-1,-1,-1,-1,16240,445877,-1,827686,168148,-1,-1,-1,923467,557853,-1,257296,61918,171046,-1,-1,949802,-1,441265,-1,19294,-1,-1,-1,150129,-1,965216,-1,-1,-1,603925,449752,718427,160535,-1,-1,-1,-1,305028,63170,99632,256993,-1,255826,-1,-1,964531,-1,652980,-1,-1,494539,700369,192501,30242,-1,851336,-1,118046,-1,412094,-1,915278,-1,400308,-1,-1,-1,245353,-1,961128,628116,675724,642713,-1,-1,-1,250374,87682,294363,637923,-1,-1,373158,-1,142507,-1,-1,-1,320982,426016,436834,-1,-1,-1,-1,-1,-1,-1,-1,-1,407819,-1,-1,-1,-1,-1,915058,738380,381740,815345,-1,789509,-1,659627,-1,-1,643395,166551,43158,-1,-1,408713,685835,385018,542292,515498,178699,-1,785740,20967,-1,-1,-1,-1,-1,371815,560891,723178,133318,767456,-1,985091,232727,-1,-1,-1,-1,607094,-1,-1,-1,-1,-1,-1,795798,-1,919533,993565,-1,-1,675343,34440,458715,-1,-1,587392,-1,-1,899170,173758,452947,-1,-1,-1,-1,115049,613900,235184,-1,725425,-1,225567,510391,594655,604346,286937,875680,-1,-1,-1,74032,907956,139763,704965,-1,-1,321440,993873,-1,241053,-1,-1,18402,816515,-1,-1,-1,818832,100039,-1,-1,811400,-1,101067,-1,-1,-1,309313,-1,100313,410187,505236,15155,-1,-1,514609,124475,290368,550621,-1,-1,-1,729710,-1,-1,-1,-1,956701,-1,-1,-1,-1,188318,-1,-1,81204,-1,-1,-1,-1,-1,446013,305055,-1,-1,946313,-1,-1,474032,-1,853261,737347,380460,742634,575488,22238,317839,-1,804607,-1,-1,-1,-1,-1,-1,172862,529730,-1,-1,-1,972278,186667,-1,729874,768005,261836,132300,124111,-1,146205,-1,-1,949768,-1,905584,803657,219205,553090,-1,748211,-1,966941,-1,-1,-1,353946,-1,888902,-1,-1,-1,-1,915628,-1,278875,-1,44887,-1,-1,-1,132285,-1,-1,36378,223020,935236,-1,-1,234381,276083,990584,-1,-1,748701,-1,491788,288304,412376,-1,-1,-1,983371,237124,573147,-1,-1,-1,-1,754861,-1,597050,422995,-1,-1,-1,-1,831485,610562,-1,-1,-1,520323,717444,322950,595714,670215,212438,500437,749483,109636,477946,-1,194228,517797,356507,463325,-1,-1,-1,303360,745196,-1,218337,529224,298848,653392,-1,-1,-1,-1,5784,658201,-1,-1,485685,-1,883310,-1,-1,361197,-1,-1,-1,-1,-1,16450,-1,-1,403361,-1,176473,-1,-1,812526,-1,69022,171722,565674,398146,74391,471703,-1,144027,-1,-1,592959,551289,-1,17107,117397,917003,236590,-1,75172,-1,605192,-1,-1,-1,-1,-1,-1,932601,320404,993372,676099,-1,-1,440310,-1,273676,703715,479523,-1,-1,-1,756081,511371,-1,-1,527440,-1,-1,439825,-1,-1,-1,768035,-1,-1,-1,-1,985840,594706,-1,-1,81298,9491,-1,-1,588077,-1,994822,182843,535405,63521,-1,-1,-1,547310,-1,-1,352678,894992,-1,-1,34371,547868,-1,-1,-1,272994,-1,726461,-1,-1,394780,352268,945402,-1,-1,687515,-1,102222,-1,-1,-1,-1,53265,-1,782156,-1,252751,414396,794954,-1,-1,-1,556144,-1,159467,82620,-1,-1,-1,573124,-1,-1,620869,-1,98614,611595,184218,-1,391195,-1,-1,927818,-1,-1,138006,-1,-1,2487,439021,-1,-1,-1,-1,196307,773993,-1,506983,-1,421882,155888,951465,335930,995972,781739,-1,-1,858263,875651,504413,879126,340519,122431,887778,-1,537933,-1,358989,686335,332409,-1,-1,-1,565988,-1,-1,324530,481524,-1,533332,217696,157339,927984,657271,488014,186394,939193,70464,348973,-1,170702,-1,-1,538398,-1,581040,205712,634991,-1,-1,-1,-1,747772,85635,-1,390405,-1,994833,394506,-1,536229,654737,196050,-1,211934,833850,-1,646939,-1,-1,667961,10770,-1,-1,-1,674192,9417,-1,901962,940658,651534,-1,-1,-1,107766,-1,166876,-1,606581,246669,-1,-1,-1,-1,754100,-1,580197,-1,-1,189438,835288,-1,821863,-1,826528,-1,-1,-1,522544,543790,-1,-1,544927,-1,505065,483500,634061,-1,198150,-1,582321,-1,-1,-1,40029,188080,325573,-1,450273,-1,687033,-1,-1,205668,29275,474449,636174,384883,-1,526259,-1,653226,215410,735203,-1,-1,929777,-1,917070,825220,-1,132539,674591,-1,-1,-1,287744,500374,300279,-1,660765,512496,-1,-1,245736,954172,-1,347436,-1,644658,475529,453443,-1,770962,-1,17758,-1,-1,-1,809024,-1,807206,74393,-1,47298,340999,176353,-1,822755,-1,197827,-1,-1,900892,-1,-1,-1,-1,663811,324677,-1,-1,297182,-1,477507,727216,284438,-1,198165,797900,-1,-1,927864,364114,-1,953633,570365,-1,499147,108518,-1,125396,-1,142956,138655,228810,-1,-1,923346,847690,144891,-1,-1,-1,-1,799465,-1,-1,-1,-1,-1,-1,720221,713098,-1,402614,568703,-1,462475,318335,-1,-1,-1,-1,518108,-1,-1,982739,-1,-1,-1,-1,-1,-1,68202,-1,968486,-1,200597,278423,-1,-1,105047,-1,-1,-1,-1,-1,-1,-1,110174,-1,391205,-1,-1,598606,-1,893388,905914,715464,958748,818828,-1,838304,714663,-1,780197,-1,-1,-1,-1,-1,-1,-1,322046,582112,-1,61570,614500,-1,895821,493090,-1,957727,89836,237716,-1,-1,609495,-1,246463,-1,349740,979986,-1,751382,116021,422768,-1,-1,-1,-1,-1,-1,353439,-1,148747,-1,572141,642964,-1,-1,-1,-1,-1,380,445858,-1,-1,840333,-1,-1,-1,113080,-1,-1,47914,-1,67879,-1,-1,369188,-1,510657,-1,968829,-1,-1,-1,-1,133255,-1,212520,-1,30978,-1,117922,-1,251705,-1,584392,654751,-1,-1,-1,343692,-1,607159,374603,396122,-1,-1,-1,885548,-1,809409,778327,-1,66712,437121,249525,-1,860075,-1,-1,932763,154049,283591,-1,-1,819185,493924,-1,-1,326226,472826,-1,-1,-1,-1,698759,228665,-1,-1,294473,-1,125879,135399,-1,-1,-1,-1,932404,727876,159446,-1,-1,979788,666057,-1,-1,-1,703169,-1,-1,525708,845705,924847,771183,-1,86578,567098,175225,741113,-1,-1,174420,-1,298548,441951,807933,70796,-1,45630,-1,628953,-1,-1,-1,16413,-1,-1,-1,135742,574863,179115,630294,810138,662953,491489,-1,-1,483698,-1,-1,462221,-1,-1,257699,48761,294067,18738,819453,-1,56204,-1,-1,427787,-1,-1,-1,214400,-1,-1,526804,501623,-1,949806,980,564963,-1,909319,238436,742794,165345,52875,482192,263934,547558,669755,-1,99482,-1,837811,676316,-1,-1,334020,19717,367190,216371,578940,-1,-1,489067,-1,96089,24259,492641,-1,-1,-1,-1,-1,257589,806244,259240,-1,-1,651570,-1,-1,466237,-1,408372,874553,-1,339670,620016,518600,-1,-1,218760,681981,-1,705248,707434,-1,744766,793084,-1,985891,-1,195410,-1,-1,-1,-1,-1,803135,372122,948473,570956,-1,-1,-1,971170,-1,224919,-1,-1,331826,987863,75837,-1,415236,-1,154351,716020,24603,595680,19042,158900,-1,768880,934043,-1,-1,-1,-1,-1,-1,320159,-1,110147,711182,547449,55561,148252,-1,-1,-1,312963,693893,-1,670753,-1,-1,-1,-1,637855,-1,104719,709280,641294,274182,-1,439339,680190,744305,82288,-1,-1,-1,122569,-1,116023,-1,-1,-1,451784,-1,-1,-1,362048,-1,-1,643657,-1,-1,213387,-1,296280,448656,35655,803219,-1,646683,-1,321445,-1,766964,-1,216086,-1,858604,-1,-1,804402,245536,-1,-1,530308,-1,990899,994303,381638,-1,175753,-1,-1,-1,-1,-1,-1,742200,-1,-1,-1,642572,-1,-1,-1,-1,-1,-1,116035,-1,-1,-1,233291,-1,78096,-1,-1,-1,-1,395854,951347,-1,-1,100391,-1,-1,-1,686247,715280,5107,-1,431309,984539,-1,-1,-1,377438,891588,654951,-1,-1,-1,453104,636314,-1,-1,120628,-1,-1,411632,-1,489058,160002,204380,963545,108445,362469,958094,650570,-1,-1,150970,-1,456443,733548,320073,397862,-1,991682,746629,15052,-1,-1,-1,496014,126234,-1,-1,431009,-1,-1,-1,-1,136598,-1,989382,-1,-1,-1,460309,595416,289703,192460,286608,956905,-1,-1,57952,-1,-1,-1,-1,-1,335274,-1,-1,-1,735842,782612,-1,-1,808318,-1,122362,-1,991342,939023,-1,-1,441978,-1,-1,-1,314134,938912,-1,92741,954077,478814,597555,330494,-1,703388,-1,-1,-1,-1,-1,-1,643172,-1,440599,266114,247690,-1,-1,-1,744577,-1,-1,334853,-1,-1,-1,399254,797539,-1,-1,3636,569912,-1,23829,-1,196808,839082,-1,-1,545345,609034,781655,699146,78129,-1,-1,-1,-1,-1,-1,-1,135268,-1,-1,580794,-1,-1,934773,872044,-1,617697,-1,971422,193291,46143,487333,-1,307903,-1,-1,769120,883378,111251,475900,287564,-1,-1,589480,210684,-1,749088,98441,-1,-1,-1,-1,-1,259341,-1,-1,48232,68424,111210,-1,964003,-1,351790,-1,354083,375268,-1,598269,688464,146059,227066,7768,-1,400403,-1,-1,-1,43033,-1,74033,633117,704791,385221,-1,-1,707929,-1,-1,-1,-1,-1,27894,-1,-1,-1,-1,881424,-1,285445,-1,634042,-1,-1,-1,745216,513456,567269,-1,722714,772501,-1,616500,820187,241825,111772,661436,-1,-1,30399,-1,-1,177631,-1,165205,-1,-1,861522,889658,99089,-1,142962,-1,-1,-1,-1,-1,810255,-1,-1,336977,186385,733778,62891,714915,-1,99294,681340,896987,325536,360312,-1,-1,-1,-1,-1,-1,12534,-1,-1,-1,-1,844804,461358,-1,414874,-1,-1,-1,-1,-1,536032,-1,24154,-1,67652,656134,108806,600308,665195,623006,232145,530984,-1,-1,788461,-1,-1,-1,439699,838952,-1,208460,-1,29665,366739,-1,-1,746940,506419,235087,-1,306208,-1,-1,498443,219436,519490,-1,649112,652103,-1,319484,375598,963815,-1,685444,-1,248696,-1,429856,867642,-1,-1,767400,13070,-1,-1,-1,634513,449989,-1,728634,-1,178029,-1,268873,-1,291964,-1,-1,-1,-1,945902,799963,-1,103280,748640,518486,126599,-1,177371,-1,224679,459891,353365,267618,58824,193877,-1,-1,-1,-1,-1,562067,-1,347793,-1,211305,193114,14658,976117,-1,-1,590277,-1,-1,-1,272845,-1,-1,383822,426518,926047,-1,308096,386100,-1,694308,-1,350369,107179,714547,-1,886564,627591,226900,689555,-1,969632,392612,195324,377997,819445,-1,737007,21130,-1,-1,264875,932667,158472,600844,226251,308529,-1,-1,-1,211782,546226,866094,-1,-1,748959,969236,138476,-1,693443,66150,716921,726208,-1,-1,492083,314069,-1,-1,489529,290031,795870,-1,401672,-1,336157,418093,548130,-1,-1,368732,610067,-1,733595,195045,-1,-1,173958,611140,-1,433590,254655,694524,20242,321962,854729,-1,660772,141096,-1,-1,128554,550256,-1,-1,249765,607329,257145,-1,-1,53080,-1,122987,708158,-1,539642,231405,-1,-1,706653,-1,296988,-1,-1,33954,713112,-1,-1,-1,-1,125549,768135,-1,707522,575556,121859,751970,-1,-1,89011,778997,358258,131066,-1,-1,582121,611528,-1,-1,656060,-1,234204,-1,-1,279792,358907,-1,-1,523926,535993,-1,-1,958943,807527,218860,-1,-1,520911,-1,403587,-1,604317,565856,-1,863691,-1,911274,-1,-1,15707,504049,219944,571434,374672,-1,-1,833917,-1,-1,36170,-1,-1,264739,-1,-1,628243,778815,-1,27958,636516,57838,-1,-1,-1,-1,-1,-1,-1,759280,209921,-1,-1,398633,-1,428785,-1,751479,-1,609579,-1,-1,546438,718731,853278,570421,836426,803245,459364,282018,693088,667053,372059,-1,637173,-1,20850,-1,451479,746781,363986,298855,-1,-1,-1,806616,98986,-1,301676,850773,-1,115906,681107,710218,135224,-1,-1,510307,-1,188408,-1,-1,-1,910484,-1,555346,119138,349039,997548,-1,-1,-1,-1,679597,-1,599130,-1,-1,-1,807984,-1,-1,-1,717250,646041,83525,194778,89319,932836,-1,-1,755228,46191,508343,502555,980403,160510,554006,-1,699555,-1,-1,483382,-1,-1,931663,903224,209311,565610,-1,-1,-1,510952,75807,-1,230433,-1,-1,-1,-1,-1,319328,-1,-1,-1,-1,-1,592784,-1,330379,563863,162222,-1,-1,-1,-1,-1,116945,405213,-1,279218,-1,645979,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,600140,-1,-1,-1,418218,147520,-1,796376,-1,539971,849908,693906,746281,-1,-1,-1,225029,105085,-1,-1,-1,56224,-1,894248,94412,-1,-1,-1,14850,494537,-1,878849,932891,-1,-1,568831,865108,-1,-1,526974,460613,-1,197672,-1,920952,-1,-1,596657,585807,-1,124932,-1,331219,-1,-1,552542,-1,-1,-1,-1,-1,933162,-1,-1,190966,281713,919673,905035,-1,836164,667182,-1,309401,492144,862557,493845,245397,-1,56756,616416,-1,-1,348667,323614,812104,671759,548849,862422,-1,-1,468683,-1,-1,-1,366034,-1,-1,-1,-1,-1,233691,-1,-1,-1,-1,-1,-1,-1,-1,608531,779273,493338,-1,129508,-1,-1,466794,695854,422889,-1,-1,599566,994388,-1,396128,-1,279162,853125,769265,-1,314695,-1,760044,703142,-1,115078,-1,790166,579833,925746,-1,-1,866799,-1,-1,-1,493401,-1,-1,972884,-1,-1,415398,-1,-1,684380,-1,-1,588414,-1,283194,-1,-1,-1,29908,-1,719238,-1,553810,943639,568737,119173,554384,552410,-1,-1,43248,256790,473313,559356,436509,-1,378356,-1,-1,1584,-1,-1,632396,688958,-1,-1,661930,-1,-1,734570,96874,-1,-1,-1,583056,891385,585171,-1,854146,773421,-1,-1,55262,-1,-1,-1,206054,-1,60373,897858,-1,23209,796105,-1,537035,612950,146930,724960,701829,718629,217466,-1,-1,-1,585693,-1,339185,-1,-1,635579,6676,-1,676741,744205,-1,-1,-1,-1,-1,736374,-1,-1,-1,-1,-1,-1,-1,-1,367302,-1,312180,-1,302350,394626,371582,182200,477930,-1,248936,467955,626533,-1,-1,277024,-1,71021,355485,-1,326200,-1,441778,-1,-1,-1,-1,-1,401014,730827,-1,-1,-1,-1,603651,290564,-1,59757,629263,-1,-1,-1,46049,-1,-1,-1,-1,543947,180494,327988,35179,385524,-1,-1,-1,-1,234164,-1,516117,672707,-1,609635,-1,-1,573030,346841,81042,-1,263211,-1,-1,-1,120409,323089,-1,-1,371545,362758,592915,358780,554734,-1,539279,91931,-1,902706,-1,-1,-1,-1,-1,972476,626241,522671,-1,-1,-1,-1,539267,-1,319430,784096,663772,-1,-1,392460,617521,118622,185334,-1,-1,-1,841680,-1,-1,-1,-1,722315,575250,413636,-1,895559,57657,-1,814032,603005,839140,269536,-1,150592,-1,983376,-1,-1,-1,608469,959762,479554,792948,479977,625008,-1,-1,658796,797738,-1,-1,-1,-1,436701,573060,382822,538473,-1,279803,581616,981316,-1,856350,918725,655129,-1,294975,80767,-1,-1,4481,820845,153820,423908,-1,874785,-1,888905,-1,999985,-1,-1,-1,776446,-1,-1,132173,712738,-1,-1,336111,-1,503484,35708,493217,69676,-1,-1,-1,-1,-1,-1,-1,-1,705012,-1,-1,-1,-1,-1,808029,-1,894347,507768,794984,110669,623519,-1,-1,864530,-1,-1,891357,136492,884355,-1,-1,-1,893263,614934,782995,-1,558432,53123,-1,513480,-1,-1,-1,-1,588723,919572,-1,-1,940450,-1,131823,-1,-1,621563,-1,-1,-1,757893,-1,-1,-1,122617,703294,-1,-1,-1,-1,318910,-1,-1,564395,412524,-1,-1,203138,-1,-1,963191,762634,-1,822607,321354,-1,-1,151153,-1,606025,-1,-1,16264,-1,-1,-1,-1,-1,-1,-1,-1,512628,-1,131589,-1,112142,-1,342343,-1,-1,-1,-1,760282,-1,430867,-1,626242,734757,906177,-1,-1,48785,-1,853435,-1,66845,-1,-1,-1,519356,-1,-1,-1,-1,140105,-1,-1,815140,-1,-1,841962,-1,-1,729944,-1,-1,-1,-1,-1,645084,265707,-1,619585,293753,-1,-1,935517,-1,-1,-1,746656,-1,994334,561643,724020,-1,-1,-1,864346,-1,672112,-1,212534,-1,-1,196251,22198,-1,-1,-1,375980,287649,650530,-1,703848,-1,295374,-1,277953,211698,524074,306736,-1,730776,-1,425993,-1,55979,48501,470108,-1,-1,-1,-1,-1,-1,-1,-1,-1,912140,-1,-1,54752,-1,-1,-1,-1,-1,582989,-1,-1,-1,572776,-1,-1,-1,852020,983374,-1,-1,411185,-1,757595,742772,-1,-1,418193,794870,325214,764035,-1,628347,-1,-1,-1,-1,-1,2624,565861,522748,775613,-1,-1,-1,-1,-1,682880,-1,-1,850714,-1,417733,962475,730574,-1,608990,234172,525658,-1,-1,-1,119881,878672,-1,-1,514813,249848,-1,729953,891690,464342,-1,-1,888938,982767,-1,705698,525280,168713,43993,-1,-1,802418,92694,445840,148875,-1,-1,-1,392133,-1,-1,-1,-1,-1,-1,142278,-1,-1,-1,-1,45860,-1,268358,531376,-1,343874,508623,666869,882917,728780,727820,359177,-1,305519,-1,-1,686506,-1,-1,182966,79272,961141,-1,-1,-1,-1,-1,-1,242057,-1,999637,618565,579404,562800,-1,416982,-1,298649,963528,859383,712404,320423,-1,839300,470502,719326,-1,368311,-1,664523,70497,-1,899691,-1,-1,407810,-1,965995,-1,-1,994775,651992,-1,-1,893414,-1,31586,449111,613168,166389,-1,-1,642676,-1,369024,-1,382975,-1,471589,-1,-1,870127,178465,550403,-1,97370,699049,-1,-1,708233,738254,-1,93316,-1,614997,-1,-1,466221,172495,487594,-1,472560,-1,796404,5604,-1,233198,435757,694491,-1,751206,-1,91594,842359,-1,861128,49389,193209,-1,-1,-1,-1,-1,-1,-1,990678,101963,913714,-1,-1,-1,-1,-1,-1,-1,708200,551304,-1,997661,-1,360611,224906,505298,-1,570623,-1,656935,-1,-1,-1,413734,-1,-1,-1,218623,-1,426493,-1,889130,504478,113999,443279,732908,412027,-1,-1,-1,856513,641537,366912,59683,-1,-1,172411,616614,24641,358215,-1,-1,-1,-1,743697,61062,-1,975844,472415,-1,-1,860068,-1,-1,423404,-1,423448,-1,17917,797961,-1,629610,661532,695176,-1,-1,-1,-1,-1,-1,137218,-1,-1,-1,-1,-1,-1,139928,983892,311844,-1,650700,57186,-1,72694,774397,826626,96009,735253,-1,-1,175195,-1,-1,811029,829046,144331,-1,69502,-1,207225,735603,-1,997593,170094,-1,818883,-1,222081,603756,-1,-1,-1,838649,632324,260964,-1,-1,291349,46761,-1,361485,-1,360427,270608,356017,971702,324988,358103,727426,-1,-1,-1,111104,-1,-1,-1,807561,-1,229070,74703,-1,77089,208981,750174,405681,363323,-1,579683,-1,810622,-1,429216,-1,-1,914034,57374,448520,308725,463230,-1,625130,-1,394668,-1,87983,-1,448156,-1,633920,290523,-1,388040,133708,-1,-1,729425,-1,-1,-1,-1,-1,-1,435832,-1,-1,175649,-1,719995,669858,-1,-1,28613,197227,139919,-1,27308,709230,-1,-1,-1,-1,960093,342117,893167,-1,268794,-1,-1,-1,-1,-1,338001,-1,-1,-1,415965,395270,219812,-1,70674,879208,-1,450726,-1,797603,-1,-1,-1,867447,-1,-1,334559,41950,540284,-1,-1,-1,-1,683254,-1,104550,-1,981298,-1,-1,-1,-1,-1,230324,-1,-1,-1,-1,-1,162512,240726,-1,205966,191540,-1,655225,697189,818500,223470,669798,-1,-1,27644,-1,-1,785266,168878,-1,186065,560189,-1,-1,83759,-1,-1,-1,145523,308562,696084,-1,913963,-1,813380,-1,558391,244050,690656,-1,-1,-1,-1,692557,-1,826404,-1,-1,43374,465342,73343,-1,-1,400489,-1,-1,910236,-1,-1,-1,988950,-1,939296,-1,511143,-1,326463,-1,-1,470958,-1,-1,-1,-1,17384,-1,709009,471892,132925,-1,313313,-1,-1,950732,-1,-1,640264,611654,-1,72585,963396,-1,-1,339503,249359,-1,-1,-1,-1,-1,448386,-1,193894,-1,356518,-1,392186,-1,865528,649936,-1,-1,-1,690038,938167,-1,205006,-1,693100,330861,-1,433389,187369,301529,964560,945499,-1,-1,874033,-1,668001,263668,-1,998210,-1,-1,657608,-1,-1,589390,-1,82198,-1,-1,-1,200962,685940,247009,-1,-1,30732,-1,-1,-1,-1,430112,-1,-1,583647,526722,945778,-1,-1,979073,-1,-1,-1,-1,462868,202117,-1,676743,-1,607635,715317,-1,-1,-1,970549,31142,569277,-1,-1,-1,364746,586393,-1,-1,-1,-1,110193,-1,-1,-1,378337,-1,-1,172008,779066,199596,749260,-1,-1,-1,-1,-1,-1,-1,-1,460384,338213,-1,623547,777199,474797,479118,513288,749926,838733,-1,-1,-1,-1,-1,220605,599561,-1,193740,38814,321676,492013,-1,-1,-1,363414,857121,835187,-1,681182,941666,288989,685502,105668,908998,-1,-1,-1,861656,143177,691168,211189,-1,644583,-1,522330,766585,873324,-1,-1,709421,-1,822479,258154,-1,-1,584093,947606,107337,713282,766956,-1,716887,-1,-1,-1,-1,-1,853206,-1,-1,-1,593471,504422,701524,819051,766957,-1,-1,-1,908372,34845,925071,129184,932294,244508,741010,10747,-1,-1,980517,-1,-1,629311,380970,692585,-1,104726,990873,542133,73831,448599,-1,-1,-1,-1,116511,839327,635994,-1,35646,-1,948842,129104,198481,356371,-1,967563,726482,229998,651598,116310,250779,369616,17771,627581,4997,-1,177076,-1,-1,-1,-1,555389,843751,634502,-1,-1,84299,-1,-1,566198,669176,936960,-1,-1,-1,50477,-1,-1,-1,981002,645563,-1,-1,-1,571199,154940,520680,-1,803366,145345,-1,458610,802699,-1,-1,-1,339239,553062,-1,97053,190828,639307,-1,499958,-1,-1,-1,75906,-1,573854,225848,-1,805659,301532,-1,-1,591246,917932,-1,92877,-1,514037,668936,863562,446276,-1,-1,534147,-1,-1,905375,708533,-1,496776,389846,-1,847810,-1,376636,669829,-1,528417,184866,-1,120080,-1,-1,-1,-1,-1,-1,-1,993642,247220,892325,478307,-1,-1,-1,398804,-1,274162,194481,930192,259962,-1,57836,851756,903845,808283,-1,-1,-1,-1,289802,-1,-1,-1,311104,-1,940332,255565,852603,841681,-1,-1,-1,-1,-1,-1,610648,789152,-1,-1,-1,-1,-1,-1,754993,-1,152087,659783,-1,-1,368979,746612,248981,-1,-1,-1,626967,480780,137385,-1,-1,376469,452508,-1,-1,-1,791272,-1,-1,-1,-1,-1,676161,-1,487551,66870,-1,694703,500675,-1,93040,-1,-1,554659,13387,422527,-1,-1,673078,-1,793822,612414,629246,339122,-1,-1,-1,737873,-1,-1,903089,713854,-1,323744,628459,-1,-1,-1,-1,-1,-1,-1,937771,-1,16678,-1,-1,-1,546921,653565,-1,-1,-1,-1,-1,56731,885047,577253,-1,326933,214078,826480,902194,-1,-1,722754,-1,314048,268215,396019,-1,585926,481420,-1,744172,469381,-1,-1,-1,65875,838025,742598,-1,859466,-1,710605,-1,362000,758593,-1,695391,273749,757065,798949,862188,-1,53486,-1,-1,-1,773069,-1,767057,872332,227033,-1,-1,940505,-1,371067,220324,-1,-1,660689,-1,506582,145137,-1,103847,-1,-1,568437,330829,-1,-1,-1,-1,506786,-1,225927,-1,273687,-1,639395,-1,694294,122884,322909,498507,-1,-1,-1,-1,-1,8728,-1,-1,640221,-1,-1,-1,632941,335217,-1,846169,-1,771662,-1,-1,-1,485139,-1,-1,124896,673244,-1,-1,-1,941017,661599,856966,829905,340462,-1,-1,875736,-1,-1,-1,-1,235518,135704,756661,639365,-1,52428,-1,-1,583544,-1,816781,-1,563406,35423,621193,989187,-1,305276,4310,-1,607623,721575,549955,-1,203723,-1,387915,792540,826909,349201,414805,-1,-1,689817,54304,234922,213018,28944,940472,-1,-1,-1,-1,-1,430512,696928,1981,250381,318585,-1,325550,719991,-1,-1,988939,864892,881048,416046,-1,575723,-1,-1,-1,-1,-1,-1,509030,271465,46900,-1,-1,-1,-1,-1,138832,133218,-1,-1,283723,160970,739011,-1,509910,243785,-1,-1,474760,945669,-1,195332,804250,-1,-1,-1,842178,668068,-1,310504,62351,944995,578627,-1,719911,-1,-1,365079,-1,537333,439603,129414,-1,751934,104666,423802,214934,-1,-1,691540,593784,605455,-1,614140,755937,284873,272184,-1,21390,490702,-1,-1,314158,52822,898348,449057,867902,908737,-1,523224,543015,-1,-1,-1,954513,388451,240975,-1,578672,18032,734851,-1,-1,-1,65553,190891,-1,-1,812437,-1,-1,-1,-1,835894,616892,-1,-1,111396,835802,-1,-1,843813,-1,-1,906310,336035,-1,-1,980006,993834,-1,-1,-1,673173,-1,591889,-1,-1,-1,457055,366308,100205,-1,-1,-1,-1,-1,841172,976378,286036,130321,616928,-1,-1,528279,-1,701451,-1,-1,558327,-1,-1,483300,-1,-1,719942,724003,909312,944033,-1,537335,455565,-1,-1,455556,894345,-1,604322,-1,579116,20320,-1,909077,-1,-1,-1,661041,95328,-1,-1,766626,-1,-1,482404,-1,419444,408079,-1,-1,-1,-1,923816,-1,86035,803810,589279,687741,-1,-1,777610,648834,784773,975572,255366,328700,732598,342323,-1,416197,-1,882477,556148,532747,804481,-1,-1,940197,-1,-1,726921,444038,-1,-1,532803,-1,262842,290301,-1,-1,-1,607809,445604,702561,-1,-1,486467,-1,424705,-1,411627,167000,-1,-1,855723,-1,132670,396826,-1,997648,459122,367806,403985,-1,-1,-1,-1,-1,-1,-1,782778,624287,83099,-1,47611,700662,477567,-1,338399,-1,591203,490305,-1,-1,550400,655999,118444,-1,-1,-1,-1,887019,686316,220222,275200,-1,-1,68760,746060,692725,646997,-1,-1,677074,-1,436979,876273,957680,-1,66004,639287,61788,-1,61756,-1,-1,54189,-1,365277,-1,32426,135542,-1,382122,-1,-1,384821,-1,701071,-1,-1,-1,-1,772729,969167,-1,-1,11973,-1,439136,351857,-1,-1,311884,-1,998037,-1,471102,671714,284310,-1,224383,25643,347888,-1,-1,-1,583965,920549,-1,268559,715117,454425,-1,-1,70997,537959,-1,-1,-1,545745,-1,701840,89024,-1,-1,15022,-1,705628,851337,324791,-1,-1,606401,-1,146700,432505,340827,756740,-1,-1,945059,869943,330928,684964,475102,-1,-1,577326,-1,-1,426170,-1,-1,-1,590000,772384,910472,-1,-1,610963,902451,784865,-1,10267,-1,-1,813886,-1,869145,-1,-1,793410,549933,-1,-1,-1,-1,100024,3689,-1,941971,-1,-1,275338,620260,-1,-1,330572,-1,373991,-1,-1,-1,-1,755223,-1,681494,-1,-1,-1,-1,201143,-1,-1,4876,-1,395290,-1,63595,783190,-1,-1,-1,156447,97754,-1,174385,-1,-1,424956,-1,141103,136205,-1,355115,429108,536235,975306,811641,396566,-1,380030,560119,-1,-1,487107,995405,494555,-1,423889,756263,907241,-1,-1,-1,954882,231594,104000,315995,-1,441736,-1,-1,-1,-1,352974,686444,-1,-1,201322,788110,802836,799943,128183,-1,568030,592239,614693,686783,-1,973953,723984,575209,-1,902025,63845,739378,-1,839205,216335,126457,741863,550382,534943,-1,-1,914733,-1,524343,-1,247109,-1,-1,691647,-1,432160,-1,-1,795335,-1,700129,197143,-1,-1,803620,927662,-1,924636,-1,965364,244527,-1,961292,219709,-1,-1,542384,-1,-1,241144,-1,-1,-1,358984,456583,917328,-1,676574,200003,904343,-1,949669,-1,-1,120895,417481,-1,-1,214669,185687,-1,-1,214315,-1,412247,-1,-1,-1,353808,378327,458486,-1,-1,-1,865436,994601,-1,-1,309338,177446,-1,-1,-1,742028,-1,-1,-1,402655,667532,-1,392765,-1,67825,935380,-1,97264,-1,-1,592236,288052,193856,34605,-1,-1,96954,932190,-1,74506,48518,-1,89133,923134,-1,976361,-1,253405,477429,-1,660614,-1,328531,765780,-1,742907,216960,-1,-1,-1,270978,-1,398013,-1,-1,25202,138407,334376,211607,-1,-1,-1,-1,-1,-1,-1,715339,306753,-1,-1,-1,-1,211665,733979,-1,585156,762376,-1,601520,-1,-1,556210,945406,775499,-1,-1,-1,714578,-1,802039,576377,-1,138346,-1,-1,300758,-1,-1,-1,511970,-1,150270,-1,230117,-1,-1,659482,-1,181998,694772,-1,896606,817365,263108,642267,621745,-1,-1,80120,505428,-1,-1,-1,995429,759090,846669,-1,-1,-1,352676,-1,-1,167367,-1,365895,-1,787755,-1,-1,-1,-1,-1,17164,284937,521545,234224,-1,-1,877942,141790,-1,-1,851804,978596,862895,144398,-1,-1,398587,304446,-1,487784,421769,82732,-1,-1,-1,-1,-1,232109,876664,743877,-1,-1,-1,596705,-1,261479,521895,-1,-1,-1,-1,563707,339690,709483,560250,-1,304523,-1,-1,828726,320443,-1,-1,-1,-1,726433,664454,-1,-1,972429,-1,174669,774587,326693,775918,-1,-1,-1,297410,535383,-1,471661,-1,-1,-1,332293,809374,-1,-1,961360,-1,630797,604693,228332,-1,863435,119350,950590,-1,229255,-1,279154,461733,-1,109355,695093,-1,-1,2442,-1,-1,47654,901263,184219,-1,278987,935456,117224,-1,-1,-1,-1,-1,-1,552206,-1,-1,618343,989045,9550,-1,-1,-1,-1,777620,-1,811010,694127,-1,808372,-1,-1,-1,364796,909050,590494,978591,510617,-1,-1,-1,634472,242765,-1,-1,175061,-1,128534,-1,-1,209810,614472,459506,931237,-1,207332,154362,-1,-1,607384,-1,402980,795021,248675,217749,427392,-1,961998,313479,893588,-1,-1,975006,-1,395143,-1,-1,310915,-1,472946,-1,-1,743022,-1,53482,-1,-1,-1,222412,425344,-1,819899,107628,698597,679744,-1,-1,-1,287714,-1,753400,10854,-1,-1,-1,-1,-1,244276,-1,-1,-1,-1,881040,-1,-1,-1,332470,114572,484396,-1,451275,-1,-1,-1,-1,-1,-1,908401,-1,-1,-1,-1,737566,-1,182656,-1,199486,-1,919727,-1,-1,-1,919555,-1,857447,-1,-1,546377,486087,698887,669709,240080,875670,-1,31826,-1,-1,-1,858936,326295,527561,564150,589711,-1,66711,665380,701609,462720,380708,-1,-1,518057,-1,408258,-1,664894,136503,14542,448422,991164,-1,613334,703915,-1,104136,-1,-1,-1,-1,450124,-1,-1,-1,570801,486678,284644,180847,305380,-1,-1,469289,320900,-1,-1,329521,655509,451674,-1,-1,971814,217409,-1,734735,-1,141827,875810,-1,245714,594734,896813,-1,568323,-1,-1,695767,-1,-1,-1,466101,298937,-1,-1,338258,-1,-1,-1,-1,703824,982117,103315,109160,561770,-1,-1,-1,-1,707984,313467,-1,-1,815711,-1,-1,-1,-1,-1,816384,-1,150063,-1,-1,751424,-1,-1,650205,-1,122704,114043,730051,556923,143074,-1,278642,905146,167725,979806,-1,-1,732214,-1,820287,-1,216612,674061,-1,-1,678088,-1,361171,616157,-1,714770,-1,-1,953844,-1,615053,662316,-1,702761,241387,391810,75538,-1,-1,-1,-1,-1,-1,-1,131945,753594,690663,-1,196775,-1,66106,991858,17169,-1,-1,-1,-1,-1,75435,173238,2908,406977,253117,-1,-1,-1,244366,367391,327559,577222,-1,502650,-1,861759,-1,496493,-1,-1,20903,-1,583301,647625,956442,-1,-1,989578,959948,-1,-1,-1,-1,-1,-1,729099,103931,239441,-1,321783,-1,-1,359130,-1,471486,992400,-1,577781,-1,-1,985574,306854,176225,509275,-1,-1,-1,165406,-1,-1,-1,-1,-1,52922,531089,828532,903488,-1,-1,-1,-1,380623,-1,827644,284297,583947,-1,-1,-1,-1,520927,-1,-1,471544,-1,666481,-1,236478,603800,634255,-1,-1,543353,716889,594354,-1,-1,-1,834905,-1,-1,366074,713835,-1,-1,-1,182911,370996,-1,-1,-1,-1,139827,-1,-1,-1,-1,-1,-1,-1,-1,435253,270246,-1,-1,809556,-1,539800,278558,-1,-1,662607,-1,535598,-1,-1,858613,828320,-1,-1,-1,-1,-1,507207,483279,69523,-1,-1,-1,-1,932007,140846,-1,618493,-1,-1,-1,431591,632997,971011,333341,190920,290952,691157,780619,28385,-1,-1,-1,-1,276897,-1,578907,-1,-1,-1,-1,-1,-1,-1,181992,-1,41483,257344,667797,-1,-1,-1,864994,759447,-1,658975,832458,-1,-1,-1,913227,-1,-1,848699,735236,-1,971021,503920,-1,903951,-1,-1,-1,-1,242994,-1,870765,-1,-1,524889,593279,-1,-1,41081,867821,-1,-1,581066,-1,-1,-1,197716,-1,935636,515485,-1,409513,622072,-1,353658,52668,-1,428517,628884,332803,468793,-1,701837,666233,-1,-1,421838,55481,417700,726769,650061,32449,624524,-1,-1,670861,316608,-1,191223,-1,-1,197879,86866,132006,-1,-1,908305,-1,525176,595269,-1,131232,-1,-1,-1,-1,941467,250556,-1,516721,807482,-1,735025,718705,-1,56170,548036,406590,-1,364973,-1,-1,981643,6646,209698,817983,-1,61065,216302,-1,249249,-1,-1,854501,-1,54562,-1,742232,-1,-1,-1,227996,350501,-1,611773,-1,-1,296540,273044,236594,-1,794911,762786,-1,141600,-1,991689,17297,288339,967537,-1,166146,-1,351275,-1,709365,-1,379257,624871,298594,65150,-1,736276,-1,-1,-1,695478,-1,852980,769313,10635,300907,-1,80363,-1,679945,-1,-1,261406,327607,487386,215886,721303,-1,463424,-1,400876,371532,39691,-1,200651,-1,-1,-1,753986,-1,-1,-1,-1,438397,-1,-1,-1,-1,393704,306713,79974,706472,922374,676284,792254,514915,-1,-1,952633,-1,255925,-1,222369,892051,205969,-1,411585,-1,760425,585903,-1,619356,879440,563831,-1,-1,-1,-1,-1,-1,344566,421498,753945,144477,128688,-1,-1,-1,431960,257494,-1,983724,335586,999710,290683,-1,489194,-1,505939,-1,599175,-1,342785,-1,661811,974993,-1,-1,-1,-1,-1,-1,223491,-1,-1,673784,611523,536216,136541,-1,619383,286687,-1,-1,49877,-1,-1,-1,994980,988530,-1,338410,39144,-1,49904,130179,-1,-1,50560,298693,-1,513023,-1,88294,-1,81040,-1,-1,339195,275880,-1,684828,-1,-1,725550,-1,-1,560546,-1,-1,-1,202982,-1,-1,891156,764342,-1,434028,728626,-1,85836,-1,993039,738270,415237,951550,892405,-1,428243,-1,372045,336649,374606,-1,-1,-1,-1,-1,164413,-1,386921,-1,932166,450966,56068,535013,-1,-1,526012,378119,850411,803874,596154,-1,867659,592122,842023,-1,865881,-1,-1,-1,833479,-1,225082,-1,-1,-1,747841,415204,-1,-1,-1,-1,104828,-1,4684,506853,25024,225492,-1,-1,309399,390720,-1,-1,-1,-1,-1,-1,-1,297417,845273,-1,528474,424373,76868,753499,-1,-1,424090,686294,116192,886408,76198,-1,834830,504647,-1,139009,270712,982059,-1,773814,-1,752877,300299,-1,-1,-1,-1,765522,333041,-1,71924,-1,-1,904576,-1,709853,-1,-1,864698,-1,-1,-1,617830,338182,-1,789609,-1,-1,-1,77061,-1,-1,-1,241655,631954,951458,99251,901497,-1,207060,-1,-1,523702,-1,-1,-1,-1,998202,64131,-1,-1,-1,408661,866596,331842,704445,294266,-1,-1,472451,953952,-1,271106,612167,-1,588397,67690,-1,767699,913287,-1,701677,561709,61517,-1,-1,-1,726805,35443,875435,-1,629756,-1,-1,771836,462361,-1,645083,-1,538614,689547,-1,844308,677537,-1,963918,-1,-1,-1,-1,975401,379789,-1,734816,575614,83113,789395,929366,-1,714335,-1,28607,778581,-1,-1,-1,-1,-1,-1,30508,-1,-1,385785,-1,117405,-1,-1,895760,-1,-1,934167,890426,869942,296865,518266,-1,593124,734590,-1,953867,793673,-1,-1,-1,-1,442794,-1,506696,854466,-1,169284,-1,782295,-1,-1,-1,884738,870530,-1,815323,-1,-1,-1,63667,-1,219284,-1,799715,-1,910712,-1,-1,-1,661666,111812,-1,997917,-1,818309,-1,-1,-1,684848,368607,647298,-1,112575,383116,-1,-1,-1,-1,-1,216571,705295,183501,-1,637593,-1,961266,-1,-1,799743,-1,334384,-1,598481,385914,-1,-1,-1,-1,153269,435337,-1,706192,750848,355847,-1,696318,515561,827494,-1,950710,786019,678849,-1,-1,-1,-1,545489,7930,629039,-1,101792,-1,618943,-1,-1,144132,188682,-1,-1,388533,-1,-1,-1,-1,360375,-1,329407,862990,54182,-1,902637,-1,291846,-1,392876,127264,39451,102093,-1,586527,55451,643124,-1,69469,190122,546275,-1,-1,446342,147849,914544,589363,-1,-1,432503,693578,72893,828932,-1,-1,38900,165083,877047,-1,-1,201453,194248,-1,-1,389177,-1,-1,-1,-1,794451,157446,-1,175371,260261,438040,-1,82548,-1,-1,633354,-1,-1,264894,-1,75791,304310,588819,-1,-1,-1,-1,766954,-1,-1,357071,-1,234617,-1,892260,587492,689394,-1,-1,-1,546606,46568,-1,-1,-1,-1,466422,-1,987750,-1,965136,962812,528149,626246,-1,-1,667473,129695,587453,-1,-1,687758,497017,630275,647726,279540,166263,-1,-1,-1,944576,-1,6309,-1,-1,-1,-1,906465,635054,206523,197364,-1,-1,517946,-1,324463,496734,-1,-1,941141,841516,415694,701212,-1,-1,-1,-1,836713,-1,49908,-1,459132,150986,-1,-1,652835,-1,284983,-1,-1,631031,-1,-1,522243,-1,645525,381905,-1,174368,-1,785644,-1,128134,-1,336203,10621,-1,231315,-1,-1,-1,727565,933345,-1,-1,269285,-1,708239,404941,518309,190746,-1,-1,-1,-1,993738,-1,685862,-1,846284,238097,-1,378009,-1,271050,173368,-1,-1,993694,-1,-1,-1,670431,-1,214813,53921,639422,-1,909098,313127,567610,770626,47821,216201,719428,-1,670381,-1,-1,182920,-1,-1,423983,92751,70548,-1,437223,-1,818970,-1,102171,740914,-1,-1,883823,-1,809571,-1,-1,14845,-1,127748,378499,-1,-1,-1,759269,731696,421369,-1,96423,320842,655061,-1,-1,446062,451282,223196,-1,351893,-1,805316,-1,-1,220778,-1,-1,835405,17211,285128,162905,588534,-1,-1,-1,-1,319578,747785,330967,-1,-1,560998,527892,-1,40816,222871,-1,-1,339099,-1,210636,751985,-1,807752,407809,-1,355640,627290,-1,-1,-1,900170,827639,847176,470082,-1,486872,534580,-1,-1,91346,-1,-1,196530,-1,762478,160121,625844,-1,-1,-1,-1,-1,-1,984989,663614,556572,-1,-1,576663,200526,415337,-1,499320,-1,932232,917676,-1,656155,497861,-1,-1,955020,-1,-1,712749,355679,-1,-1,297318,-1,226922,-1,-1,-1,-1,-1,-1,-1,852838,-1,-1,897770,-1,18983,681502,-1,-1,-1,-1,-1,813251,-1,-1,616297,262340,-1,-1,-1,-1,-1,411821,-1,-1,972036,428923,-1,781342,-1,193959,-1,-1,-1,432821,-1,-1,896602,-1,37868,671474,-1,545628,940728,289635,181156,764658,821969,563109,-1,456629,236901,493104,603635,352352,931844,-1,357813,771863,97391,786629,-1,-1,406572,701779,475618,204854,652582,-1,-1,-1,-1,-1,438754,105981,-1,179228,864729,-1,873711,-1,-1,147480,-1,342123,671089,463252,-1,38348,615347,-1,-1,547401,-1,88715,-1,78986,-1,-1,-1,-1,399330,909412,-1,321861,571313,-1,9410,-1,-1,-1,-1,465070,857931,-1,-1,482561,-1,-1,927572,572418,-1,-1,146952,-1,233460,895177,-1,-1,657549,-1,-1,421676,-1,298533,385448,290614,-1,140659,-1,-1,609866,865636,922727,-1,180672,86479,361089,-1,-1,570070,-1,-1,-1,826028,-1,-1,809352,313229,-1,511101,-1,308088,415239,620582,484535,465597,821676,217019,-1,177956,616552,771164,-1,-1,983548,367423,-1,-1,-1,-1,-1,190024,-1,-1,-1,-1,-1,-1,690938,-1,-1,874106,714511,-1,689352,-1,-1,-1,72002,-1,-1,-1,680465,-1,-1,-1,133454,270807,932414,-1,206990,-1,20577,-1,818620,-1,891903,-1,-1,122387,26804,-1,77051,-1,240931,-1,770964,697952,-1,-1,546550,-1,-1,250850,883109,-1,887863,901503,-1,808305,148074,948390,256300,118573,635659,38690,937543,-1,-1,-1,675243,-1,-1,-1,-1,-1,123794,-1,-1,-1,-1,306503,-1,74252,-1,721517,-1,584909,-1,-1,392494,-1,488371,912139,-1,-1,436721,651484,281318,679136,-1,-1,-1,-1,-1,-1,-1,-1,397595,944875,-1,-1,-1,-1,458385,143281,-1,-1,134784,-1,-1,454348,820488,-1,-1,-1,-1,-1,-1,874931,555478,668413,-1,-1,-1,-1,-1,-1,-1,847442,618552,-1,768324,-1,643675,-1,326995,743776,-1,323846,-1,-1,389639,-1,-1,7941,-1,663900,5633,112783,-1,213123,-1,786978,-1,493351,607312,-1,-1,378397,775234,-1,-1,684370,464991,359114,397684,-1,-1,-1,676585,-1,124487,-1,873476,-1,-1,665268,686581,500836,977172,272600,467774,-1,959559,-1,350896,162107,-1,-1,111482,-1,216708,294231,764919,-1,432462,315466,-1,-1,476961,232960,337181,-1,568722,257349,39810,-1,449246,-1,-1,-1,402958,894625,952070,-1,707897,-1,-1,-1,-1,-1,-1,326289,-1,-1,807483,-1,880152,403309,33043,-1,-1,-1,582890,-1,853469,-1,-1,890885,-1,355438,-1,-1,726639,123160,499797,432684,-1,64636,-1,334450,633932,-1,999507,924815,-1,51570,497273,121138,-1,102966,-1,762418,123779,664142,-1,-1,646077,526333,-1,309647,586589,-1,-1,578532,-1,36881,-1,-1,284518,232800,-1,-1,-1,-1,788504,686667,-1,336076,21668,-1,-1,-1,-1,-1,-1,358148,705032,796214,-1,953754,57498,889059,-1,791627,921344,279493,288832,110235,-1,-1,966468,-1,63347,82463,108199,748072,-1,423121,-1,-1,17733,-1,211324,-1,452362,54706,191092,-1,-1,-1,-1,-1,-1,-1,284011,869144,246291,832396,186461,-1,-1,-1,244422,66833,-1,569057,981345,-1,-1,-1,-1,-1,627922,965039,238746,-1,-1,334333,449938,999752,-1,60793,462646,129314,696960,983727,836403,316504,-1,71551,284532,246005,744519,99635,282446,955443,-1,262398,255659,367242,913690,-1,-1,858771,-1,241896,-1,-1,898791,780207,679565,530669,-1,807003,-1,-1,79490,-1,-1,313893,-1,494417,-1,-1,611609,-1,326886,391210,-1,-1,732282,986985,-1,155654,158091,348205,451352,-1,937201,353755,298888,393046,-1,-1,144633,379334,399814,-1,-1,-1,-1,127338,-1,884935,877590,-1,-1,-1,569449,1712,757015,-1,-1,-1,-1,-1,757198,182034,-1,566116,745119,997204,-1,139564,292361,280683,-1,-1,-1,677198,-1,-1,-1,-1,399267,-1,-1,-1,-1,825474,-1,-1,-1,756952,-1,604591,-1,-1,274911,-1,802664,365747,716564,-1,677161,750344,150087,948669,-1,224185,23177,383631,-1,-1,-1,-1,311043,121940,-1,70910,357292,-1,-1,615377,-1,185881,68239,-1,605986,923594,398219,256403,-1,-1,-1,-1,623917,978539,1000000,-1,-1,-1,-1,-1,323223,-1,659963,-1,302141,-1,-1,-1,39485,-1,-1,-1,-1,-1,489918,253585,-1,514405,223267,17450,-1,-1,-1,775257,943184,723731,471535,794260,-1,867792,274637,-1,916348,-1,-1,131463,926824,-1,734577,-1,807597,-1,-1,234266,734494,890901,591763,150193,-1,-1,778735,902312,25371,-1,-1,740081,-1,469792,256743,275551,-1,-1,-1,603754,-1,475619,770471,105038,-1,-1,-1,934843,-1,-1,682126,50080,912697,248854,580755,-1,-1,614242,906447,563674,-1,346139,428662,-1,-1,208640,-1,871987,-1,919416,-1,441552,-1,-1,-1,595922,990851,253080,726954,595988,318280,-1,-1,-1,964330,-1,850722,344972,693834,674233,979782,175194,-1,-1,-1,168684,-1,171929,613899,106755,-1,-1,-1,-1,266990,-1,323705,977633,-1,189150,597553,61501,-1,672092,-1,-1,344680,994871,-1,-1,622088,149796,-1,767783,831833,505183,153908,577278,598546,819839,-1,-1,712158,933585,-1,-1,-1,967695,358571,-1,7227,612822,-1,-1,567803,-1,374998,-1,-1,475596,320468,-1,-1,604544,-1,-1,703595,-1,-1,-1,348673,652236,-1,404514,-1,-1,-1,-1,-1,-1,-1,642722,157535,397665,-1,-1,-1,-1,-1,856473,698856,-1,-1,571489,-1,-1,36829,-1,994015,-1,710832,-1,-1,-1,-1,623718,-1,-1,-1,-1,59655,81433,-1,-1,-1,-1,-1,-1,543864,-1,-1,-1,-1,994399,695183,-1,123897,56361,-1,-1,-1,362605,-1,-1,442357,922063,602035,-1,63836,-1,626112,-1,723620,-1,328052,665941,425439,-1,-1,826284,-1,-1,990139,61277,-1,389549,-1,768546,-1,-1,76548,-1,-1,27562,943588,906334,-1,-1,-1,-1,-1,632679,-1,-1,-1,74406,865002,-1,-1,684021,425454,798594,-1,431710,14574,-1,987484,410618,-1,815924,416736,345410,-1,530773,-1,875026,386860,802422,-1,425431,923210,-1,13589,-1,-1,-1,392536,274421,-1,578906,-1,-1,-1,376834,539780,609850,-1,-1,559812,-1,-1,-1,780687,6216,-1,-1,-1,421033,-1,315232,-1,724102,-1,-1,484208,-1,616489,496021,810023,-1,136629,-1,634079,-1,-1,544058,754669,303175,687722,-1,884217,-1,454563,-1,-1,818795,-1,-1,362528,-1,-1,107202,-1,753503,-1,-1,-1,-1,886755,-1,-1,247868,-1,309247,-1,-1,-1,-1,967151,-1,908583,-1,127804,731908,-1,558003,-1,829621,-1,700719,-1,833669,934151,-1,-1,-1,140362,681451,-1,273935,983674,-1,633843,-1,998465,-1,-1,313874,-1,-1,-1,925385,354487,-1,-1,444334,-1,-1,-1,26290,785215,16338,759833,-1,227770,848729,-1,105320,339569,807489,964163,-1,-1,345903,-1,-1,-1,237984,-1,-1,-1,943077,142837,-1,467247,-1,781504,-1,963619,-1,-1,504689,-1,-1,703989,8467,-1,-1,-1,-1,683664,928401,-1,-1,-1,309073,454476,-1,86463,113996,-1,-1,419767,888349,902581,502808,72530,-1,-1,-1,-1,591668,-1,-1,504829,-1,-1,87657,195644,-1,206904,177384,848195,-1,-1,-1,838008,964873,238894,-1,795049,-1,-1,717565,-1,-1,-1,126585,347874,-1,200556,32877,603340,-1,827809,918896,-1,387798,-1,893170,-1,-1,721145,89989,-1,-1,-1,-1,-1,224410,-1,-1,-1,-1,-1,-1,79133,-1,959434,443812,200669,631337,-1,-1,733527,-1,-1,746067,-1,-1,-1,982420,-1,-1,997251,184074,-1,408399,318182,-1,-1,-1,-1,-1,-1,-1,-1,191104,-1,-1,-1,-1,171880,504224,-1,-1,810857,73758,581379,443978,-1,-1,-1,37314,-1,-1,961625,-1,167141,463772,559563,819883,49167,-1,-1,-1,-1,-1,-1,852497,-1,462510,345933,-1,-1,616249,390235,-1,165197,400368,590616,181621,-1,440144,7053,-1,-1,-1,566628,424085,416756,147202,72674,-1,-1,244893,-1,547064,-1,-1,198297,128789,-1,-1,766200,-1,968722,-1,231141,-1,912121,436466,336335,-1,-1,760820,338805,-1,673992,-1,838789,-1,86321,-1,-1,602424,-1,-1,-1,-1,385199,918511,523913,-1,-1,-1,-1,718091,520046,-1,-1,-1,-1,-1,-1,922508,-1,-1,587093,-1,-1,434145,-1,700269,742764,135732,-1,958888,882572,-1,-1,-1,781187,-1,-1,372226,954287,541654,433171,574977,-1,-1,-1,874835,795674,640368,108639,-1,-1,24269,723759,220790,203522,253759,490408,552147,531025,831061,-1,670489,-1,-1,410759,285982,420766,61200,-1,-1,839148,897471,-1,-1,712457,-1,-1,846216,724731,-1,615142,-1,580729,390108,874506,-1,269204,286296,-1,-1,-1,638230,-1,-1,569657,404448,-1,482482,-1,26397,593551,965650,-1,137257,263166,-1,882109,973979,-1,363772,856946,542575,158217,-1,-1,862955,-1,302168,-1,-1,302171,-1,-1,-1,-1,-1,370556,315628,-1,538748,239310,45859,-1,250942,-1,-1,-1,94949,-1,-1,413423,444438,695380,984971,978755,-1,-1,-1,843425,-1,-1,54004,421546,-1,432777,-1,-1,954954,976971,771046,82434,-1,44392,121667,-1,781320,-1,-1,151623,405827,-1,449026,-1,-1,-1,-1,902938,-1,603011,-1,-1,-1,196365,96794,223076,-1,-1,-1,-1,-1,890367,750090,-1,887406,-1,-1,127451,433366,408812,-1,540728,17466,717707,-1,-1,-1,600054,-1,-1,-1,-1,-1,-1,-1,-1,-1,998196,984967,-1,125570,949238,-1,640503,538686,946648,432581,259181,-1,-1,-1,-1,-1,82682,329898,965832,174596,-1,-1,737235,-1,-1,-1,694290,-1,663224,742313,696683,-1,-1,446368,-1,-1,-1,-1,-1,-1,179988,-1,-1,950397,165306,923069,-1,-1,-1,-1,-1,15514,134035,-1,546540,-1,837111,84502,-1,-1,580099,-1,-1,89100,-1,-1,-1,624279,-1,406544,295870,710054,-1,-1,-1,60172,-1,668753,940214,-1,-1,573000,521506,-1,879390,876024,-1,-1,-1,453537,-1,-1,-1,117286,340418,-1,-1,-1,930135,-1,-1,-1,-1,223439,761328,671378,467155,-1,-1,-1,995868,-1,983276,-1,732642,405063,-1,-1,166531,831232,-1,502085,-1,584056,-1,907230,606618,484303,812108,-1,-1,-1,-1,344843,809820,378804,877034,-1,838671,463708,800107,-1,181048,-1,-1,-1,183517,-1,135676,55192,-1,-1,633058,730722,-1,201285,-1,-1,-1,131867,537565,-1,494007,476927,950981,400979,440469,142817,-1,-1,-1,-1,859530,-1,-1,424974,-1,759580,-1,-1,-1,187281,602663,-1,122904,-1,-1,-1,-1,-1,-1,-1,736625,-1,-1,-1,-1,-1,-1,895347,401980,492829,-1,-1,365090,-1,-1,33812,870054,159745,-1,-1,-1,-1,-1,191440,-1,262931,576276,18660,-1,-1,485375,-1,21391,116294,388009,112898,369151,-1,-1,-1,-1,54079,933773,764819,484921,-1,-1,61960,903203,241303,-1,877224,929665,-1,189108,-1,929148,-1,211551,-1,-1,825209,495593,-1,583353,-1,-1,-1,-1,-1,806378,273772,-1,518293,-1,783294,-1,374973,944636,-1,-1,-1,357305,333613,400229,-1,378055,-1,959422,333641,-1,-1,-1,937760,-1,-1,119155,283649,684004,656983,207976,-1,564389,-1,187192,491410,-1,481431,-1,-1,-1,481970,-1,468111,-1,265873,345077,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,595811,-1,632957,-1,748102,-1,-1,-1,553941,219309,541837,288991,191639,297864,-1,-1,-1,875190,-1,652249,481770,425459,-1,630781,-1,-1,975863,-1,-1,-1,144738,438862,-1,-1,941980,-1,-1,-1,-1,-1,206313,558026,882177,-1,468383,649252,-1,387601,-1,-1,-1,926345,-1,489412,495651,466816,384200,-1,201179,-1,-1,404866,-1,-1,103722,-1,436216,-1,-1,844505,101409,-1,-1,-1,-1,882495,853362,-1,19491,-1,718353,96250,-1,946441,-1,959707,520542,-1,-1,-1,519604,196888,-1,574813,773339,337590,-1,-1,-1,742242,-1,-1,-1,240887,-1,-1,-1,270932,527735,336802,-1,159108,639767,-1,872564,-1,-1,-1,-1,-1,74909,92783,101465,712282,831539,348201,534669,918019,521149,329948,1672,-1,380075,-1,859147,75755,-1,-1,344771,-1,990022,585275,-1,-1,-1,573341,-1,-1,-1,766594,344664,-1,669393,147482,-1,241009,929821,788587,-1,792715,-1,-1,-1,175642,355969,464757,819587,389541,-1,-1,647728,803667,114979,-1,-1,130879,885300,-1,-1,-1,277974,-1,-1,-1,-1,-1,-1,791409,726905,-1,979037,-1,-1,-1,-1,4350,-1,-1,305008,-1,-1,-1,-1,585077,-1,993082,893466,563470,186534,-1,112675,748687,-1,894833,-1,-1,553437,352877,-1,292847,-1,-1,-1,-1,-1,-1,617753,898951,986535,-1,-1,-1,-1,-1,854247,-1,701050,-1,-1,767468,148966,882380,718551,476029,-1,901400,-1,872581,-1,-1,-1,413907,786965,551861,-1,270036,-1,-1,712055,448061,-1,903274,600634,946906,-1,32840,105247,226455,-1,-1,731573,-1,929216,-1,-1,-1,-1,469870,-1,-1,-1,323010,219935,53450,-1,-1,-1,596210,-1,-1,96921,920421,-1,-1,39484,658688,815535,-1,-1,-1,-1,-1,776189,715674,807724,-1,-1,-1,54738,215488,885738,382486,268073,896523,-1,-1,475165,200832,814800,460479,449962,-1,388501,388595,175228,581825,-1,-1,832700,655409,-1,-1,680599,736487,448867,972395,956407,432007,-1,786857,-1,80626,587736,-1,-1,-1,-1,720916,136898,910372,561600,530763,577242,309372,627511,969305,-1,-1,-1,-1,-1,100071,282015,-1,40054,-1,668159,-1,498691,943050,-1,-1,144168,652999,-1,-1,-1,-1,-1,-1,-1,162767,624699,628746,-1,641358,-1,-1,-1,284695,-1,-1,25361,807107,-1,591623,-1,229299,642494,-1,996116,609104,929578,-1,321469,-1,-1,619332,975095,-1,-1,-1,481632,25382,345817,-1,-1,-1,100506,414460,-1,986947,332264,345197,-1,467578,-1,-1,-1,761194,766113,-1,348465,-1,-1,809363,850461,137263,507003,-1,-1,-1,-1,-1,267195,-1,-1,841137,405780,141328,-1,911577,159084,497673,982647,-1,-1,-1,-1,479326,-1,177412,268810,-1,480306,-1,66756,-1,413921,-1,536981,631860,837435,-1,-1,706715,883108,-1,-1,19791,15261,295524,471024,-1,852915,628785,115122,917973,-1,-1,231546,337643,-1,-1,478473,916698,134443,913434,-1,-1,-1,354458,-1,500998,-1,-1,-1,-1,-1,993821,-1,-1,873062,-1,443585,21574,594094,382376,642211,-1,325331,428239,185476,-1,-1,-1,-1,-1,587004,481599,-1,945566,-1,938106,-1,-1,170936,-1,772922,-1,-1,-1,-1,256882,-1,-1,-1,402400,-1,734064,-1,-1,-1,646611,-1,-1,725967,337957,763563,486296,-1,446839,398352,-1,290081,382497,-1,348025,958287,629519,380097,588890,-1,-1,-1,79833,479280,-1,-1,297241,-1,485804,-1,509266,-1,863148,24873,-1,-1,-1,-1,-1,-1,183982,795606,-1,-1,-1,634710,370025,541875,-1,241739,-1,-1,-1,-1,-1,-1,-1,-1,454722,-1,-1,-1,-1,-1,-1,-1,-1,-1,399553,337843,254258,710253,759718,189613,89322,-1,232473,593818,-1,89738,-1,332945,-1,-1,219407,520350,-1,98994,713671,294597,440314,505176,-1,807488,-1,609393,-1,975767,813322,-1,859007,-1,697461,378083,-1,-1,403936,-1,-1,242049,912812,-1,733945,-1,925896,467646,-1,344446,-1,-1,774205,-1,655699,561950,302264,26876,809761,837665,371956,-1,332827,-1,722303,668135,564953,748709,765809,633809,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,331184,-1,114004,-1,-1,-1,312771,-1,723418,996267,556914,-1,-1,655286,-1,713466,526,-1,763897,-1,-1,-1,-1,47266,475671,47263,847578,200465,-1,-1,655963,411080,665560,-1,-1,424300,-1,752727,710624,267278,108335,-1,-1,-1,107248,-1,-1,111649,-1,-1,349526,199267,-1,-1,-1,-1,-1,608401,-1,184969,-1,719073,519198,138265,557500,-1,953307,423147,126909,474729,409134,-1,-1,-1,693495,160619,-1,952142,616049,717258,551307,547461,437927,-1,166285,-1,120473,111198,710589,281580,-1,-1,347754,622819,-1,491067,619415,942297,-1,701042,867648,733854,334153,385474,612059,-1,873146,28504,590266,19252,-1,777877,975330,861850,-1,560399,-1,411603,-1,7956,-1,-1,-1,761590,-1,-1,982070,306739,-1,-1,119402,-1,708074,563070,870058,519132,586799,-1,-1,958587,-1,-1,746393,-1,-1,386811,819553,20241,-1,-1,-1,824545,288574,-1,-1,-1,-1,576919,522562,-1,594345,-1,754121,962936,-1,-1,-1,13683,339691,956742,41704,-1,-1,-1,-1,797648,-1,605752,-1,484817,203052,102428,944247,208722,-1,-1,870509,-1,-1,-1,-1,434129,815162,501080,367817,617035,-1,-1,271733,114452,-1,-1,247283,-1,-1,56056,-1,259195,720109,16347,2122,117061,564638,-1,-1,897759,-1,234084,-1,-1,93728,-1,801466,-1,-1,-1,-1,286223,786924,328627,-1,-1,-1,748069,-1,-1,-1,848204,955931,-1,846194,260265,-1,-1,-1,-1,59807,108037,-1,799225,-1,-1,-1,791348,205688,28867,9388,-1,-1,791964,457433,697893,805742,625172,-1,-1,873040,226480,386630,196903,375397,-1,-1,719318,394600,-1,546065,775281,106431,372919,366873,131993,201775,844966,-1,-1,387836,-1,-1,620780,149700,764193,936626,-1,-1,-1,-1,-1,-1,-1,-1,-1,738174,646434,-1,275766,-1,-1,729809,826596,-1,868139,-1,985537,-1,701022,773017,719706,605239,852498,-1,-1,-1,-1,34155,-1,426299,345955,100953,775240,898058,-1,235004,673002,-1,354863,-1,-1,989301,-1,718391,946956,954516,-1,-1,-1,83632,-1,-1,961611,390974,506323,193201,-1,-1,422696,-1,-1,129775,295347,-1,598670,-1,895372,462447,-1,-1,201145,-1,45840,90354,-1,-1,-1,-1,733693,-1,708695,-1,576295,-1,475934,420211,757169,242654,354276,-1,649713,296236,-1,-1,-1,-1,688643,352835,762272,-1,-1,985089,-1,14835,-1,727796,314986,447709,548977,-1,-1,529263,380628,716078,-1,470993,909385,-1,878472,-1,371727,-1,-1,783271,-1,506238,874466,670134,185957,70021,-1,359442,-1,321618,88072,108707,-1,-1,862896,788020,-1,361438,-1,-1,-1,389056,-1,423628,757628,281615,129892,360447,-1,728668,-1,557182,988525,-1,-1,-1,402025,-1,-1,534756,-1,512109,-1,574796,-1,806272,844785,-1,348713,343273,-1,183881,-1,-1,-1,777990,850126,-1,-1,232023,-1,111029,-1,-1,-1,413522,-1,607949,-1,-1,-1,607371,125697,-1,428356,-1,-1,630263,356902,-1,839165,-1,779307,-1,353750,569168,-1,915803,646739,-1,-1,-1,500460,621503,468660,758829,-1,-1,941717,797399,-1,38460,-1,-1,867872,831521,497008,753073,489977,953623,368027,710806,965435,-1,620654,-1,391393,11581,-1,-1,637104,710619,-1,9084,-1,-1,570988,-1,167418,-1,360794,962052,-1,706995,-1,-1,-1,-1,-1,-1,-1,-1,722340,-1,-1,595257,180496,398072,356501,316510,-1,-1,-1,-1,-1,204728,471148,703877,515486,199241,-1,-1,-1,-1,-1,739599,509906,482756,214659,63399,37615,415672,733281,537682,758328,-1,423396,-1,443195,-1,-1,237699,765026,292116,638362,334108,15232,16235,-1,-1,-1,591084,766315,-1,-1,588000,721088,-1,-1,-1,-1,540190,113266,960694,-1,315929,753103,-1,-1,-1,-1,-1,732746,826723,-1,-1,-1,401650,-1,-1,-1,-1,-1,-1,-1,-1,-1,888801,194477,-1,-1,831248,338072,-1,-1,-1,215429,-1,-1,-1,291539,-1,-1,-1,163213,-1,-1,-1,-1,-1,-1,-1,708946,-1,627678,892971,-1,995799,-1,-1,113678,971344,-1,86048,239994,-1,-1,-1,-1,715823,873795,-1,671278,990321,-1,-1,-1,-1,-1,865970,-1,159603,-1,-1,-1,-1,-1,72300,-1,-1,-1,-1,-1,-1,756097,344945,-1,667258,666504,-1,958554,517420,705477,-1,815397,-1,-1,-1,905564,-1,-1,-1,827766,-1,-1,95383,891111,183134,-1,160031,923016,-1,688134,-1,402846,-1,-1,-1,891131,-1,712076,321576,-1,-1,519507,-1,-1,-1,-1,135720,-1,-1,37238,7882,28482,-1,840307,-1,-1,-1,-1,597063,397223,613483,218329,-1,-1,-1,-1,-1,944654,-1,132848,-1,620163,-1,-1,-1,-1,-1,965526,80274,-1,-1,956524,683321,701631,-1,215176,241854,418774,259833,177419,910756,400964,-1,-1,448860,-1,928429,-1,90367,-1,12871,-1,-1,42889,805404,411524,78636,966595,-1,-1,742448,-1,-1,489383,-1,841597,-1,456660,391831,-1,-1,194948,108788,-1,202259,971249,-1,765438,358265,-1,829521,-1,529304,-1,132738,-1,-1,-1,-1,92368,-1,795827,-1,216680,-1,762216,-1,-1,-1,-1,-1,-1,-1,10942,-1,-1,-1,-1,270437,-1,550289,-1,70031,293401,775676,-1,342257,-1,-1,-1,-1,831368,990120,623770,-1,-1,-1,878660,222049,503091,-1,-1,-1,-1,129506,402138,-1,-1,-1,260963,797265,-1,271551,79306,750522,-1,-1,-1,439669,900905,187202,-1,26743,633840,967843,-1,662500,936458,-1,253005,-1,-1,410687,-1,724615,414666,657163,-1,523167,-1,-1,220614,334893,-1,-1,-1,-1,-1,807682,568023,-1,-1,664928,906324,739777,299389,993469,501446,-1,493558,347252,676667,452128,330393,106941,-1,356028,-1,987919,363075,494596,318290,800620,125419,202619,-1,489467,-1,-1,747964,36547,512441,817391,972828,-1,240150,-1,-1,-1,681348,56604,-1,185613,-1,434094,-1,84452,-1,-1,-1,394254,576151,740960,644668,-1,61398,-1,361507,445885,-1,352856,15490,-1,717918,-1,-1,-1,-1,413183,-1,849791,-1,503184,133545,-1,848321,170601,-1,-1,-1,74761,-1,-1,200205,-1,-1,-1,-1,-1,105431,573268,-1,588576,446690,973712,377980,291705,-1,-1,127913,423251,-1,991782,716160,184595,-1,-1,902994,-1,897601,-1,-1,-1,-1,255392,-1,719314,-1,436808,-1,-1,249046,388669,118698,-1,-1,101543,556536,28251,-1,-1,725423,735041,-1,99009,-1,585843,-1,-1,537825,179236,-1,515822,-1,776365,673635,105064,73208,-1,-1,705912,-1,-1,952982,-1,-1,-1,951562,922283,-1,935494,-1,-1,40112,-1,-1,513366,-1,-1,-1,356968,-1,-1,584470,-1,-1,-1,-1,-1,268409,-1,735526,-1,613198,-1,-1,317384,-1,671484,-1,-1,519136,53639,287208,-1,-1,105954,970285,39486,-1,183222,784925,116907,939802,-1,-1,-1,-1,778478,-1,-1,-1,-1,-1,749748,433740,859025,258007,-1,-1,217806,323647,-1,-1,-1,-1,942932,777011,-1,-1,925231,706410,3957,-1,300536,-1,685979,-1,802293,923734,738744,604412,168815,704043,-1,-1,-1,-1,-1,-1,529596,356601,383993,650055,-1,-1,-1,685349,-1,-1,-1,608309,-1,-1,-1,-1,-1,-1,987320,348393,-1,540841,369970,441440,-1,-1,716102,252105,843147,424412,418185,-1,983653,-1,-1,-1,80754,830080,-1,-1,-1,367915,196534,-1,441074,-1,-1,-1,-1,372550,-1,121544,653581,206703,-1,-1,-1,415432,-1,-1,-1,-1,-1,-1,-1,781507,-1,-1,-1,312370,886206,-1,-1,172163,274659,973607,14096,175987,92280,-1,-1,-1,-1,812000,607997,-1,-1,655507,525427,206582,-1,885775,540615,-1,-1,178053,-1,478606,60397,-1,887588,-1,-1,-1,685407,786097,71585,884756,990016,871591,-1,899467,155279,564224,-1,-1,821039,-1,150733,333136,-1,-1,-1,642475,752573,-1,218650,836133,-1,-1,-1,210946,194867,-1,-1,203658,868256,-1,-1,-1,522859,251185,303158,484206,-1,240914,801642,-1,-1,-1,-1,-1,889201,-1,-1,115338,172471,-1,658255,-1,-1,-1,-1,-1,-1,-1,869434,993759,-1,-1,-1,322608,91813,-1,920136,-1,-1,224991,-1,979332,-1,77313,-1,751656,153469,879534,915901,71789,810444,769929,-1,707683,-1,446291,856807,-1,-1,628146,624704,-1,-1,214814,-1,-1,-1,73073,-1,696491,-1,-1,708301,428964,-1,527908,-1,612900,-1,-1,-1,-1,-1,-1,-1,554102,-1,28113,-1,486105,-1,-1,-1,892599,-1,-1,798247,263849,715206,-1,-1,763002,-1,970486,-1,-1,-1,-1,77923,-1,677226,878180,992384,-1,50390,-1,-1,241558,274071,747881,-1,-1,-1,-1,217438,-1,74302,-1,752736,-1,-1,686708,59776,841955,-1,-1,680229,-1,310081,-1,610803,797517,301368,-1,287630,-1,803238,-1,574227,655253,-1,894071,732764,-1,725513,105595,-1,-1,690578,303315,411611,549689,-1,189638,-1,-1,555151,-1,-1,921109,-1,749882,-1,-1,-1,-1,-1,-1,-1,151419,-1,-1,-1,892653,637912,-1,-1,633484,410566,-1,-1,442917,538665,515604,-1,-1,-1,473847,958604,-1,700751,-1,-1,-1,557879,-1,-1,-1,-1,-1,-1,-1,272296,-1,-1,-1,214266,585324,-1,922648,-1,352854,-1,-1,833881,360697,-1,811780,-1,-1,923057,492076,391607,678363,-1,-1,-1,-1,-1,-1,661851,-1,-1,54390,815946,152083,-1,-1,268396,640842,-1,-1,549943,-1,-1,-1,165162,440128,432358,906992,-1,-1,272272,-1,-1,-1,189176,152372,985423,-1,-1,186876,560545,730335,541828,-1,-1,-1,-1,158339,993702,-1,-1,-1,437742,6169,206644,-1,414393,-1,-1,748324,-1,-1,378170,-1,767785,417800,466162,577490,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,63912,446339,480593,250068,659924,184238,-1,811053,-1,-1,808705,-1,395303,604003,116188,-1,-1,-1,-1,-1,-1,912502,79555,978504,524201,426126,-1,-1,-1,30426,-1,-1,176021,111151,179708,-1,699751,615050,771658,-1,-1,997806,-1,-1,-1,-1,-1,-1,198440,575294,-1,-1,-1,-1,-1,-1,-1,650194,74794,779606,-1,-1,478220,244614,-1,-1,-1,-1,-1,-1,-1,-1,-1,121901,811506,-1,-1,291937,-1,-1,-1,-1,772051,136531,-1,604475,897711,-1,668865,-1,-1,-1,-1,164679,-1,-1,-1,-1,-1,193686,-1,678593,108942,-1,-1,-1,-1,-1,-1,-1,754023,76345,-1,-1,127237,419218,-1,-1,836266,787734,992863,555513,115657,123359,381829,-1,-1,344629,-1,450391,250394,-1,383755,332656,-1,512251,-1,-1,449448,261914,715638,546146,-1,596072,668871,886092,-1,202996,149592,-1,-1,-1,-1,879145,-1,-1,46862,-1,-1,233073,688679,-1,587317,320523,-1,510713,704656,529370,-1,318769,306281,351501,501831,373211,-1,-1,-1,-1,106255,460719,-1,-1,276755,-1,-1,86944,-1,132154,101823,144488,333674,-1,-1,-1,-1,310296,-1,289887,-1,113998,-1,-1,-1,-1,-1,770713,594507,450091,31939,609617,-1,877723,-1,-1,910801,124726,524194,888543,-1,-1,421147,-1,-1,7990,734196,769152,-1,-1,101558,204286,754909,400267,-1,35475,-1,-1,538866,-1,-1,-1,802080,74278,-1,-1,-1,110013,10931,869593,-1,209128,-1,-1,85218,-1,-1,-1,806953,762645,639948,63530,758789,52292,779826,127480,-1,82880,-1,-1,520127,366406,874836,-1,120978,-1,-1,475384,-1,215508,370487,747700,-1,150413,679356,921634,-1,-1,-1,-1,195312,182973,201595,953574,-1,722072,-1,58755,340518,-1,-1,329784,-1,-1,-1,860928,-1,225467,-1,-1,477205,143479,851209,867989,345915,-1,617728,227189,601007,-1,802504,374755,-1,748284,229378,573404,186638,100206,-1,369225,-1,525043,408634,474038,-1,515900,537603,-1,-1,543754,937889,835287,543559,-1,340953,934328,-1,814714,240614,604576,73573,728048,873959,601327,667529,-1,363867,810605,349063,150450,660817,-1,-1,146311,-1,-1,-1,415064,876871,27535,603104,173754,-1,-1,334544,-1,-1,223835,492362,160738,416107,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,533620,-1,-1,-1,-1,-1,-1,428935,-1,484119,860502,-1,279261,128856,596312,-1,-1,740374,-1,-1,-1,-1,301381,-1,812456,-1,464522,831763,380418,-1,536116,-1,-1,27070,-1,759635,-1,438385,797952,532570,492604,885552,-1,-1,-1,526851,-1,-1,-1,174075,938427,-1,760322,-1,-1,174383,-1,246913,540588,-1,754986,676956,-1,868384,298039,-1,594211,-1,347484,523225,368719,382762,-1,774758,166221,-1,-1,919642,-1,304650,69520,-1,-1,84882,-1,783750,393349,-1,-1,-1,587590,-1,891345,-1,481051,-1,-1,-1,-1,-1,-1,470967,-1,-1,-1,186796,194010,667900,-1,-1,-1,-1,201815,-1,-1,-1,119311,459327,132655,-1,-1,126178,-1,810801,384313,-1,-1,699591,-1,711529,308366,-1,11494,502316,-1,350204,-1,837056,899433,-1,144524,-1,764891,-1,-1,109690,-1,155292,-1,243127,-1,-1,-1,-1,298381,140233,762051,201690,110034,618253,965273,223574,57182,352023,-1,-1,-1,980705,-1,966857,710549,-1,-1,-1,-1,-1,748547,-1,973667,537275,646299,-1,832087,245913,-1,-1,-1,47707,841367,553653,723430,399430,-1,459006,335909,-1,187204,-1,554010,100979,-1,-1,-1,754795,234094,-1,-1,-1,994681,81720,896728,406167,-1,209265,-1,274010,522972,-1,65851,-1,629120,576162,-1,-1,-1,-1,-1,-1,503236,358489,82650,-1,-1,-1,75050,-1,289502,-1,-1,925487,948611,493576,734195,-1,273890,-1,912550,-1,-1,-1,-1,-1,-1,753327,-1,507860,-1,-1,969196,-1,289025,-1,747742,974664,-1,-1,284126,319762,-1,-1,938558,20344,-1,-1,970646,970038,-1,118466,542336,-1,142907,472399,-1,259377,-1,145328,-1,-1,-1,-1,629383,847019,745918,-1,-1,71424,52741,927784,721941,22092,-1,45827,-1,226473,947875,112536,661480,-1,298024,390513,-1,162094,-1,110779,-1,-1,-1,-1,-1,-1,402450,76756,-1,752863,945131,353285,647512,-1,-1,-1,264608,-1,65733,-1,-1,137783,919755,-1,-1,-1,-1,-1,874762,-1,-1,-1,-1,-1,-1,432577,-1,976678,208946,554531,-1,-1,287334,279882,-1,-1,388274,-1,-1,746846,853089,280592,49278,940778,-1,-1,50445,-1,-1,192023,801838,4576,840524,483934,-1,-1,-1,645280,266471,-1,-1,48279,-1,414601,112753,891024,358460,-1,-1,173671,-1,706227,-1,-1,5823,478206,-1,553310,131737,-1,330547,-1,-1,121752,-1,121561,-1,263736,949833,-1,-1,690057,423888,-1,250029,-1,876612,-1,721116,-1,62166,-1,-1,504430,-1,-1,-1,5244,167604,196179,578479,-1,497347,741111,671642,701529,5364,-1,-1,70707,-1,-1,-1,-1,-1,890518,294831,-1,294074,605993,521681,-1,-1,-1,-1,609371,-1,-1,-1,-1,-1,714825,942508,-1,280593,-1,643020,696461,-1,-1,564014,61697,278997,167791,338944,727990,-1,647161,893262,-1,-1,-1,157246,-1,786589,-1,147098,650537,711317,-1,-1,-1,-1,-1,76134,-1,387485,206132,589487,-1,-1,-1,61396,453061,850178,-1,168165,807215,-1,414156,-1,932315,-1,-1,410009,769796,-1,625916,200671,7384,-1,-1,601811,-1,-1,-1,-1,857414,53746,704105,-1,211741,667583,-1,-1,-1,888244,258005,-1,765788,111840,692627,-1,16627,-1,-1,874238,-1,892932,-1,765971,385173,831992,426708,448626,190561,-1,386260,758901,388941,-1,-1,244964,-1,-1,-1,-1,-1,25613,417879,-1,591346,193115,218455,-1,963177,502556,687306,421723,-1,-1,380019,-1,725889,-1,-1,39058,695749,22102,-1,-1,-1,811983,-1,704198,-1,699124,586728,-1,932700,-1,-1,612721,-1,239052,-1,533298,922218,-1,-1,903658,921603,-1,-1,346148,-1,356414,59565,470007,223150,-1,649033,93618,246239,-1,192122,565104,-1,-1,-1,622728,819294,-1,-1,-1,204581,541718,-1,-1,537372,340048,-1,-1,419503,-1,26402,912870,-1,830495,-1,396888,-1,15334,575420,-1,-1,466474,-1,-1,85122,935014,446591,-1,-1,652417,-1,684837,616407,273610,-1,-1,806443,353627,-1,180137,430390,432477,379961,-1,-1,467609,512486,453159,741110,-1,-1,476129,-1,303805,-1,461941,-1,-1,383906,174111,-1,724004,-1,-1,-1,-1,-1,347852,-1,-1,-1,843379,-1,404098,-1,97755,209319,-1,19712,-1,619605,-1,-1,332266,164890,-1,-1,-1,-1,859788,405350,777392,-1,567290,928707,-1,206966,-1,350639,-1,-1,588139,334674,240790,-1,324500,335465,110908,782422,-1,-1,683246,135994,-1,-1,904083,137768,-1,104864,756991,441675,-1,-1,-1,708833,537244,770082,-1,665596,-1,-1,-1,605638,474528,-1,682635,-1,755976,469198,-1,-1,218628,-1,527191,-1,758090,-1,532534,-1,38032,171023,-1,-1,204623,-1,-1,822342,776101,-1,-1,944939,266340,156860,-1,-1,699453,-1,-1,-1,-1,-1,719451,-1,297074,285412,952448,154560,-1,3390,837548,855411,79405,112867,940639,-1,72489,-1,774518,-1,-1,100862,-1,-1,118761,885618,766791,-1,-1,-1,838725,-1,929101,893539,-1,-1,43624,-1,-1,324957,318805,-1,-1,-1,-1,-1,-1,22572,-1,755,-1,153563,132827,451441,-1,-1,-1,529165,-1,431389,801531,829198,664761,-1,-1,135235,206246,907599,-1,-1,-1,-1,460945,791470,890332,-1,-1,-1,-1,928328,-1,575177,-1,-1,-1,-1,597847,-1,-1,537314,472585,-1,-1,484349,628669,334832,-1,-1,813162,522258,-1,-1,-1,219278,-1,-1,-1,149091,676759,23637,-1,213079,833026,875850,-1,-1,914881,-1,835495,605027,713546,545585,-1,-1,-1,580713,816336,-1,256238,-1,675655,255853,-1,880092,502608,824931,-1,605491,-1,-1,-1,738225,-1,919398,-1,911177,768698,-1,734977,766469,-1,-1,-1,364207,725985,222466,-1,-1,-1,-1,273133,-1,-1,-1,-1,-1,-1,743404,-1,71597,62590,-1,-1,918287,-1,919303,227086,179832,-1,-1,-1,623360,740090,876961,759801,511258,-1,-1,238548,-1,824912,-1,968066,-1,-1,-1,-1,-1,222397,-1,-1,456094,725478,53320,-1,757679,812744,480130,-1,-1,-1,-1,-1,436086,403778,516539,-1,365095,587279,-1,-1,835626,794597,503583,120808,576096,-1,-1,641092,311639,732501,-1,809966,-1,76191,600182,483782,-1,-1,487446,48090,892827,-1,-1,511896,-1,648950,-1,387289,797963,911721,-1,320869,540270,587641,743048,-1,-1,-1,704648,284629,661449,443509,607167,199956,-1,260219,-1,19316,480827,-1,-1,-1,962603,-1,287819,-1,876003,-1,-1,320308,589752,-1,-1,429018,-1,439652,-1,-1,-1,269366,-1,236766,208670,450405,-1,490784,271284,174214,569563,856751,-1,-1,480833,-1,-1,497083,52663,868986,-1,506298,857111,338304,-1,510609,-1,-1,-1,-1,-1,-1,-1,-1,34100,279257,-1,-1,-1,-1,384236,-1,-1,104879,635901,-1,-1,-1,-1,887107,-1,-1,740950,98777,-1,-1,696701,-1,-1,-1,-1,553380,-1,761776,287944,-1,551160,-1,489050,498644,364997,-1,170489,-1,-1,132303,488360,-1,-1,-1,65116,645768,-1,-1,746617,425977,-1,911073,-1,446427,784984,303529,-1,-1,399998,96909,475868,-1,83867,-1,515072,-1,74734,-1,120763,-1,-1,-1,318500,-1,62449,-1,-1,375774,50407,-1,780607,-1,813805,-1,-1,324969,518196,16723,696205,629343,430230,-1,479175,279946,-1,-1,-1,202867,974797,-1,-1,373804,-1,279897,-1,-1,-1,624160,-1,-1,-1,232016,-1,-1,192778,572830,-1,362802,-1,235790,809942,654459,-1,896848,-1,-1,769403,456589,294764,731336,-1,238451,-1,-1,364379,992839,858480,44020,-1,-1,249798,-1,225365,-1,-1,550083,672918,810780,865803,-1,-1,-1,-1,-1,-1,247824,-1,-1,-1,856962,-1,-1,-1,-1,-1,-1,398011,-1,850632,644543,786446,-1,27190,167298,575901,-1,667332,-1,-1,-1,-1,-1,552171,-1,-1,90944,-1,657748,-1,510564,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,260468,26937,-1,-1,-1,-1,-1,835748,827488,530095,-1,-1,-1,993996,286430,-1,294007,765114,-1,-1,379176,946922,352087,470342,625197,511990,965738,-1,437864,871887,-1,271851,272039,-1,464901,646853,321078,-1,-1,432008,422149,482803,664300,981812,-1,527044,586423,161130,-1,422203,-1,445263,770319,654261,817322,346793,-1,-1,-1,637691,-1,767985,-1,-1,618333,-1,61584,-1,150379,-1,516092,370762,946072,605586,-1,-1,420381,213566,268024,-1,18856,965230,580969,830677,-1,-1,931476,681689,894960,111741,616367,93039,-1,-1,-1,480415,145988,-1,-1,196982,409157,-1,-1,-1,-1,-1,240167,950230,756329,859321,866270,-1,-1,634146,-1,-1,532443,-1,80727,769219,-1,645063,26174,19200,323278,426998,371931,487648,465746,463055,513277,862866,-1,-1,263409,171403,-1,798927,237311,914276,935170,-1,762805,667759,-1,-1,952150,75114,755217,161902,-1,455340,-1,-1,-1,-1,-1,-1,-1,461598,235053,15104,-1,840132,770092,834242,712621,663316,759368,741598,313067,-1,-1,-1,687227,-1,356687,-1,420729,-1,903806,73500,-1,-1,-1,-1,337903,683196,-1,-1,291769,784802,65267,69301,-1,977095,-1,-1,-1,765542,941257,537762,244460,-1,866455,28016,733060,-1,237022,751496,-1,-1,-1,-1,126761,-1,-1,240704,-1,447129,-1,736460,43515,-1,-1,-1,86736,-1,985327,391719,-1,-1,-1,-1,692213,-1,239794,-1,-1,882465,-1,397186,638259,-1,207194,3335,-1,-1,991483,863957,65760,796963,901401,173941,-1,-1,839483,850962,-1,-1,185761,-1,871386,-1,-1,71999,-1,-1,-1,460671,-1,591604,-1,551112,764887,903650,-1,121053,406797,271932,203861,-1,238569,-1,-1,101950,737208,-1,521063,-1,319500,-1,-1,-1,-1,341837,-1,372209,683882,681761,984953,220686,-1,-1,-1,-1,997900,-1,-1,542075,251756,-1,112292,-1,-1,-1,93871,-1,982592,-1,406996,228589,2540,67083,-1,-1,-1,-1,-1,871085,630973,-1,-1,198559,381187,825325,-1,-1,-1,-1,520719,-1,-1,169016,48358,-1,968472,240434,-1,-1,83815,-1,150527,351244,439889,-1,-1,-1,-1,-1,611727,-1,-1,-1,-1,495227,-1,-1,-1,898840,-1,861792,-1,656247,-1,-1,552318,-1,-1,-1,-1,-1,788294,-1,343136,144677,929115,438487,745944,-1,593733,611935,100859,-1,697226,253624,-1,-1,-1,-1,491930,-1,-1,441225,-1,301276,-1,233359,991406,-1,627284,-1,-1,-1,-1,409217,861939,-1,-1,176876,605846,-1,439370,971271,-1,-1,334670,982105,510484,-1,-1,-1,939305,244313,-1,166975,-1,-1,903143,660037,-1,918131,211413,-1,667686,815411,-1,189152,-1,8572,836161,-1,632022,-1,-1,689009,-1,-1,-1,-1,397900,-1,182352,-1,-1,-1,-1,837336,897091,-1,411226,-1,959122,905668,-1,591259,261219,-1,582172,-1,-1,193698,-1,283052,-1,425971,-1,-1,252955,136198,937576,408302,824191,61969,246438,322292,-1,159566,487073,671420,419533,385200,-1,614570,68794,-1,318464,-1,-1,-1,756876,-1,-1,-1,-1,-1,-1,398728,-1,-1,354326,117969,-1,-1,-1,347250,743189,-1,-1,-1,-1,-1,641476,116650,342868,-1,-1,-1,809558,-1,872583,696579,-1,941763,-1,954995,287257,-1,931529,-1,-1,355199,374612,827715,130912,-1,-1,577870,832919,293749,6336,875258,-1,203050,81867,591594,942365,307724,-1,-1,-1,587164,830417,-1,-1,-1,-1,-1,423286,908257,806328,221989,-1,-1,808271,55212,-1,292754,663225,771570,834904,-1,996601,-1,-1,491794,-1,767321,192174,781251,967287,458310,317824,-1,-1,20948,-1,-1,182329,707531,777817,-1,969864,271533,-1,388607,-1,938406,-1,-1,-1,-1,-1,-1,54512,432702,959985,141914,-1,-1,168589,366903,778101,-1,832468,-1,-1,481997,611825,-1,380790,-1,-1,357057,534513,-1,177563,-1,-1,191682,-1,-1,959575,-1,520066,520821,293137,-1,799121,-1,-1,477668,936079,-1,-1,-1,-1,-1,-1,-1,-1,-1,742571,827807,113135,20935,-1,-1,-1,113175,955958,754960,377927,986895,-1,320074,-1,-1,623022,-1,-1,-1,-1,2150,-1,825789,600318,756639,-1,772332,-1,480480,-1,-1,773021,-1,-1,942695,-1,-1,-1,-1,662144,15756,-1,-1,-1,238132,634591,689794,288758,719530,906173,755774,805351,594519,-1,-1,-1,-1,-1,-1,845120,-1,678155,52999,584790,-1,145263,-1,-1,131492,865855,95136,-1,-1,713217,-1,576226,593986,-1,-1,223041,-1,810505,877382,-1,-1,-1,443994,664248,609257,-1,-1,454487,560301,-1,-1,42583,340112,-1,-1,-1,-1,170214,612367,897400,-1,421287,-1,129344,879970,-1,70603,-1,-1,-1,795110,856967,807928,-1,415138,59235,164714,-1,372438,-1,206974,936863,-1,-1,78521,-1,-1,-1,873247,934799,-1,287685,711763,396885,502193,-1,-1,143362,970637,98748,-1,-1,-1,778491,644860,-1,-1,339511,-1,-1,-1,-1,-1,269564,507167,373323,985016,-1,-1,841917,582753,-1,307490,-1,688369,565959,-1,-1,59992,858489,659254,634923,-1,290064,-1,559243,300820,-1,231854,-1,403431,-1,-1,-1,-1,11024,346077,995800,317921,363942,-1,613262,-1,416989,934076,-1,-1,696006,511742,-1,-1,-1,-1,-1,-1,930936,321072,419592,350331,235130,950868,154721,-1,488809,-1,180369,314958,-1,504728,-1,724791,741033,161267,727328,-1,664564,-1,-1,-1,157923,-1,569101,-1,-1,130629,507330,-1,-1,847028,541564,-1,-1,327342,-1,207054,811364,562809,-1,-1,949955,-1,576906,-1,-1,249741,342227,316250,-1,558584,52192,-1,-1,-1,-1,341946,498776,-1,-1,161362,-1,569357,-1,172019,58224,267679,-1,864329,-1,378874,207676,-1,-1,556847,-1,866989,903041,-1,-1,91479,869707,-1,899927,-1,316709,-1,918181,727678,-1,684319,-1,716104,103853,530313,15410,-1,-1,-1,836361,552131,-1,-1,-1,-1,-1,-1,610623,-1,-1,-1,-1,-1,221098,-1,697669,-1,838457,601723,739564,392962,-1,178652,-1,-1,-1,992029,-1,175244,450382,834801,-1,-1,-1,-1,638832,529018,625286,555094,219300,-1,481179,361433,451078,-1,-1,885334,-1,-1,-1,362303,-1,201965,768212,-1,-1,-1,-1,-1,905896,-1,528718,-1,623939,-1,-1,329087,-1,573327,-1,-1,-1,84043,410839,649519,-1,-1,22977,-1,-1,51215,-1,-1,929717,-1,-1,583611,354350,582209,-1,627054,70355,-1,338006,475636,-1,-1,369189,-1,-1,482681,487681,-1,110073,470541,-1,951586,402153,-1,-1,11468,-1,911188,833046,-1,-1,-1,-1,535407,195785,-1,-1,793509,-1,240870,512016,348685,-1,503499,15435,722674,421256,311032,564783,-1,878919,-1,-1,-1,250871,-1,-1,373416,866168,302362,123641,519923,855171,245406,501452,-1,700126,626802,354065,-1,-1,384641,-1,-1,429468,-1,941575,272151,444458,-1,-1,994546,950597,-1,-1,-1,602940,-1,-1,-1,-1,-1,410701,394066,-1,570976,-1,-1,129936,-1,461326,-1,115136,58698,-1,492304,908445,-1,-1,-1,287339,-1,654168,-1,644296,-1,819387,840146,532113,752601,-1,-1,389644,-1,-1,-1,662424,82614,-1,-1,-1,-1,952798,-1,109965,663959,-1,-1,80857,-1,-1,777859,-1,-1,683488,-1,-1,933687,-1,626510,724257,885634,219566,579422,929387,-1,944747,281613,101714,351734,602839,546781,58993,115013,698183,337855,409781,-1,-1,272126,-1,66508,796093,-1,-1,-1,295476,-1,3409,-1,-1,671662,656307,113781,-1,811729,-1,95763,105890,265675,727307,546958,-1,-1,587457,-1,246184,-1,97726,-1,982212,213288,979694,340574,-1,883379,-1,-1,97671,-1,-1,-1,-1,69222,312485,-1,-1,-1,843456,-1,122723,-1,-1,767513,-1,-1,-1,-1,610080,-1,385379,-1,-1,833965,351932,596554,200782,-1,299795,809541,-1,-1,75686,27454,-1,874522,-1,383486,42560,783496,750853,222939,-1,583007,-1,-1,698004,458528,-1,313927,470603,861563,-1,281369,390747,604803,977721,-1,835259,-1,227067,-1,-1,-1,397131,-1,-1,-1,30199,575046,-1,-1,708380,540296,-1,746531,506265,-1,919425,533848,165540,387970,-1,23276,-1,868212,-1,35820,-1,724684,-1,31546,151181,-1,-1,513197,113676,872771,-1,60054,-1,175230,454526,-1,91935,529953,353180,-1,818830,551311,483799,981136,-1,965198,242997,-1,-1,785366,-1,690712,228327,719141,-1,-1,674427,725109,-1,254568,266670,-1,-1,269486,85976,732843,6896,-1,665881,-1,-1,916428,-1,362672,-1,874815,443652,503888,622653,788514,47288,855173,46598,923851,-1,-1,295308,934011,-1,834374,478193,-1,-1,604518,-1,641602,-1,822556,175616,638886,571673,276288,-1,-1,-1,-1,-1,-1,-1,631453,587479,473286,-1,-1,689254,-1,-1,403811,286634,831616,-1,-1,-1,111596,-1,-1,848117,-1,692001,857088,-1,221948,-1,1333,688271,435197,-1,993197,-1,-1,-1,-1,858939,-1,511157,716805,-1,236302,-1,492299,119019,-1,42008,690928,-1,-1,517604,-1,-1,567596,41111,-1,352058,-1,525976,-1,-1,142524,393425,-1,-1,737769,119190,665593,535658,-1,-1,-1,448176,-1,-1,853995,555217,-1,743708,-1,753862,644535,-1,-1,-1,-1,854372,-1,-1,512868,-1,986672,-1,-1,-1,-1,-1,694560,54118,568221,-1,188343,-1,496522,344820,-1,-1,-1,-1,54880,696740,-1,337338,-1,332338,3423,-1,535271,-1,36889,664372,-1,336112,-1,218340,-1,-1,-1,756288,298172,200596,-1,453247,512823,-1,-1,673444,793417,-1,-1,-1,768402,-1,125619,-1,-1,-1,-1,-1,246758,65904,6853,969354,250742,-1,-1,514467,-1,-1,-1,-1,-1,85596,-1,-1,-1,-1,-1,450215,159107,163920,147653,80403,-1,729780,256543,574273,-1,-1,314149,514294,-1,471941,-1,689218,71738,353080,-1,770284,-1,-1,843229,-1,335644,231889,584878,-1,767677,-1,576415,542367,-1,228174,283418,-1,-1,-1,908811,-1,844303,-1,-1,-1,-1,-1,-1,218460,882376,482638,-1,177799,73747,-1,-1,256622,-1,547684,751008,37768,-1,-1,-1,80370,29759,-1,-1,192227,337726,578991,-1,-1,-1,973212,434834,9648,-1,115510,-1,-1,10733,-1,-1,385787,863668,-1,-1,417651,139076,846639,643888,-1,649629,-1,-1,-1,388890,509635,-1,-1,-1,57512,-1,397382,-1,-1,859134,390266,667589,190135,706841,306560,-1,534807,66631,513482,151567,-1,890986,-1,128461,204295,730828,77069,586265,318179,188095,468226,-1,365860,657282,-1,104432,765858,-1,-1,-1,750737,-1,21332,770035,440879,-1,-1,-1,-1,147669,-1,-1,-1,-1,-1,-1,290108,-1,-1,-1,-1,121081,47299,-1,771035,968372,604536,694190,574617,-1,975843,-1,-1,777669,-1,-1,-1,-1,516082,-1,-1,560980,799081,897228,15704,-1,-1,-1,585315,-1,695711,477790,-1,-1,-1,-1,-1,503620,675939,686439,-1,-1,-1,158576,107774,226386,599910,-1,-1,818860,-1,880646,346693,449802,554296,-1,-1,-1,812158,-1,918515,-1,-1,880656,711360,-1,-1,-1,237167,-1,-1,-1,529024,431933,-1,-1,-1,120334,874530,-1,-1,-1,-1,-1,-1,-1,968274,-1,428794,815316,790948,-1,-1,364223,747397,832298,-1,-1,-1,-1,-1,265361,-1,-1,-1,-1,-1,-1,-1,4758,-1,-1,141609,-1,-1,233904,-1,-1,23377,-1,-1,-1,-1,130273,-1,-1,-1,528060,-1,-1,-1,336297,660185,877456,-1,-1,776390,-1,-1,988342,313777,-1,-1,-1,859746,-1,-1,-1,-1,242102,37448,-1,-1,-1,-1,-1,498398,459347,-1,-1,-1,-1,-1,-1,205735,-1,-1,-1,60289,-1,699390,-1,512420,-1,909321,637086,-1,315143,973236,581143,-1,426610,714775,989431,-1,-1,-1,-1,477654,489522,730207,862316,551081,855525,994072,282051,392954,-1,-1,535954,826669,503148,-1,74312,-1,239654,744810,-1,-1,834345,401414,-1,-1,729130,241435,867353,-1,225877,708982,-1,-1,-1,472705,52013,-1,-1,-1,-1,350309,50347,-1,-1,351436,-1,-1,-1,-1,-1,-1,-1,-1,253411,812827,-1,-1,823355,617744,-1,199748,-1,-1,-1,-1,805891,-1,-1,-1,-1,330868,967795,-1,-1,253006,462490,316006,-1,908517,783976,992011,47020,907252,846090,-1,327860,-1,-1,137530,495007,371672,-1,273019,-1,-1,631800,644292,-1,139743,-1,-1,951713,803626,805617,465679,-1,589123,-1,190269,-1,-1,-1,370262,775675,-1,35363,-1,312794,297474,564975,-1,354901,-1,-1,-1,451474,507823,282373,-1,-1,285597,778132,809221,946006,-1,-1,-1,-1,582296,-1,658089,-1,918823,63522,110996,242158,835694,622513,-1,-1,904231,-1,481151,412429,-1,-1,-1,-1,-1,-1,-1,924373,61976,-1,246766,-1,-1,580663,18163,-1,766799,-1,114053,392670,936173,-1,354492,-1,32233,-1,-1,-1,841919,956441,-1,312208,727831,-1,-1,469592,309771,263602,-1,30934,582120,-1,104409,944233,681030,257881,964744,-1,-1,-1,339138,437671,968225,-1,-1,-1,706425,-1,226915,465434,956828,-1,447170,-1,-1,-1,222752,797964,-1,266748,428712,-1,156590,162633,-1,33368,-1,-1,454631,59334,-1,906805,-1,-1,-1,759144,998289,142872,-1,-1,816281,256053,342431,589500,859348,453035,835980,33436,876687,99593,678629,-1,-1,142774,-1,758558,230979,-1,-1,621912,392364,455083,-1,856696,104248,543076,-1,-1,-1,-1,590238,-1,517428,909836,-1,-1,281865,519581,-1,-1,-1,-1,877818,-1,-1,-1,-1,810470,588722,749137,234844,-1,-1,-1,512831,843433,-1,648768,316041,-1,157673,-1,-1,674390,-1,-1,-1,634582,-1,250034,-1,358953,-1,47814,-1,-1,-1,-1,496378,-1,930656,-1,-1,-1,-1,362990,710063,-1,-1,315847,518660,936927,186293,-1,511666,812177,159580,846291,-1,129459,-1,626710,-1,713047,555536,204573,-1,-1,-1,481879,83278,672216,-1,453550,-1,-1,-1,-1,371867,-1,282806,-1,-1,579712,824016,-1,-1,563600,477527,-1,736735,-1,-1,688348,-1,645176,249395,-1,-1,-1,844748,386753,851635,88804,986633,-1,67988,180845,363288,-1,-1,-1,-1,-1,-1,-1,55966,-1,177901,-1,492425,691467,-1,-1,-1,178987,792408,269001,587015,-1,-1,-1,642519,-1,174059,890698,272361,-1,-1,-1,-1,472695,-1,-1,-1,-1,-1,-1,-1,110179,40658,990735,-1,-1,-1,455280,-1,-1,-1,-1,968788,298826,892355,584057,729642,765005,-1,-1,-1,-1,-1,-1,-1,256179,789579,-1,447142,745763,-1,-1,780280,550454,584892,-1,-1,570709,-1,-1,-1,846426,11103,-1,207957,-1,-1,-1,763170,-1,925707,-1,-1,-1,-1,-1,-1,-1,559995,-1,576858,-1,885167,-1,-1,-1,614185,-1,-1,314257,-1,962781,766754,-1,320416,-1,-1,282420,512046,-1,512570,-1,201564,937454,299317,900468,588878,-1,-1,-1,-1,897822,837205,444379,-1,250898,-1,-1,-1,646106,982734,-1,909741,-1,876962,-1,-1,712650,739098,-1,409741,-1,-1,-1,652174,-1,238071,661142,-1,752612,692112,906934,-1,825661,753359,-1,-1,-1,-1,780031,488863,-1,461954,-1,-1,483211,-1,925091,427747,-1,282385,-1,964856,-1,-1,472736,109342,66657,-1,573990,555594,66800,760480,-1,-1,42133,322490,-1,749848,-1,889918,-1,378148,-1,72358,-1,827425,127774,-1,5829,-1,761094,-1,346938,-1,-1,356802,-1,-1,-1,586055,533442,621850,-1,692079,537954,693381,-1,-1,321704,-1,546126,967007,-1,-1,-1,-1,-1,591269,834206,489175,-1,-1,-1,377361,-1,526939,-1,-1,-1,-1,642855,80498,127103,10418,43313,-1,21839,-1,-1,-1,723323,427014,-1,308482,-1,-1,-1,-1,-1,331556,-1,-1,346477,-1,-1,-1,428191,869583,-1,195692,-1,-1,-1,938891,714810,79711,723683,-1,453016,710260,-1,-1,-1,-1,136755,7538,559613,-1,-1,281542,612791,738520,-1,-1,935507,538697,267319,-1,155224,663036,551046,-1,-1,-1,341963,998279,637271,-1,560763,-1,-1,875310,-1,-1,64155,696200,540825,-1,-1,452857,-1,872111,250454,-1,-1,-1,-1,222659,-1,-1,639950,-1,673540,6185,-1,-1,901173,-1,-1,-1,654876,-1,-1,342276,-1,-1,960531,-1,257822,-1,107792,691320,-1,285246,-1,553186,42573,-1,-1,3254,489888,-1,38771,835974,942535,-1,-1,320149,166494,748669,572298,365069,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,159780,-1,656532,-1,587377,525834,-1,-1,-1,913816,-1,-1,-1,-1,-1,307091,828080,108985,529404,-1,-1,-1,663538,451106,28827,896143,-1,-1,-1,-1,-1,-1,921016,-1,-1,-1,380897,480944,157269,65166,-1,-1,-1,-1,382529,-1,545506,884631,-1,864828,-1,-1,936380,149032,434868,-1,-1,-1,-1,-1,891099,-1,236884,866326,829868,-1,-1,635232,-1,-1,-1,464312,-1,768602,-1,654715,462807,745135,-1,-1,483241,-1,123419,442215,306769,-1,288069,-1,7164,-1,-1,-1,-1,-1,-1,-1,-1,578241,175196,-1,622766,-1,999505,602543,76321,-1,252817,-1,522336,-1,143552,-1,-1,-1,-1,-1,828929,-1,172180,288652,356997,890404,603964,258348,-1,-1,818942,-1,28377,304713,707206,826367,786127,-1,848886,534795,-1,-1,922685,906322,-1,818990,738357,850808,-1,-1,221301,601904,212148,-1,129589,-1,-1,-1,108700,-1,721198,-1,445985,-1,-1,354769,650511,-1,-1,974231,551429,-1,475323,-1,744965,-1,-1,599749,-1,-1,-1,808058,-1,345533,64276,935240,970487,-1,-1,47317,876233,318984,-1,-1,-1,459409,936241,-1,652513,375612,-1,-1,-1,-1,243708,872669,-1,-1,220461,670585,-1,203213,-1,-1,-1,-1,229980,-1,-1,900817,991869,-1,315663,-1,-1,-1,201080,123893,-1,147659,-1,-1,-1,222102,-1,190593,236660,-1,691209,-1,153346,504955,84746,-1,-1,443498,757990,93659,57871,536941,303334,151739,-1,819493,-1,786204,881068,662239,963232,-1,503589,327876,-1,-1,-1,772433,-1,-1,399082,-1,-1,832554,-1,-1,-1,864731,-1,-1,882577,-1,-1,-1,858546,529408,-1,-1,336212,840109,-1,-1,317618,-1,469080,558081,-1,-1,546725,-1,892331,413376,963262,691256,772619,-1,-1,-1,868924,686201,633043,-1,-1,-1,752959,769348,-1,285920,156167,949851,-1,-1,-1,128794,742910,290326,-1,981143,653950,275440,732956,781738,-1,-1,-1,-1,-1,297752,234267,513570,-1,-1,-1,175229,-1,-1,613914,796645,846641,703697,-1,-1,455265,-1,-1,757837,-1,484756,626876,321241,-1,630395,-1,-1,338985,636158,-1,825680,568265,236800,230064,850061,-1,-1,-1,273832,-1,711643,-1,976424,-1,-1,278483,-1,575617,347502,661990,-1,106830,-1,-1,757708,50711,241584,-1,488091,43534,544790,625111,259658,-1,-1,588575,-1,-1,-1,798104,718384,433378,-1,495380,790597,-1,604983,-1,-1,641550,662509,176527,827435,231305,-1,-1,528300,413092,624157,-1,-1,180716,3775,-1,429572,730358,-1,-1,404352,696781,672319,-1,76102,-1,-1,-1,433191,-1,-1,603615,745607,-1,-1,-1,233136,563232,967194,-1,592160,-1,-1,-1,335270,-1,5424,522018,-1,-1,78453,-1,-1,-1,-1,-1,708086,-1,-1,-1,290552,24439,-1,445099,-1,-1,988503,37315,-1,982370,154389,-1,-1,-1,-1,983684,111301,-1,-1,601375,857330,400437,320484,542024,673848,-1,437795,-1,329428,83093,-1,121262,905155,264883,216004,-1,938899,913479,-1,876439,993742,957346,409685,105224,943269,-1,-1,257388,-1,-1,-1,-1,333453,-1,-1,949864,-1,-1,736503,573014,638559,772123,-1,-1,-1,-1,-1,919117,612690,448696,485488,-1,234314,-1,-1,-1,-1,387919,781545,-1,-1,24770,300724,284225,791247,767818,-1,925068,813019,-1,-1,889818,297773,-1,-1,415224,911312,695195,-1,-1,214612,-1,247686,218124,863891,-1,743310,807837,4304,-1,406573,670870,-1,-1,-1,-1,649624,-1,539644,989843,-1,71978,720851,847648,-1,-1,983592,618784,359745,-1,190310,292238,239655,-1,-1,-1,891214,-1,-1,377806,348303,-1,279039,-1,691194,150960,-1,-1,425723,-1,553639,307135,697403,-1,-1,-1,-1,143821,-1,-1,789872,272859,-1,539008,5100,882423,-1,-1,-1,852806,-1,756910,-1,25198,-1,-1,613133,51099,-1,729843,193845,-1,-1,414342,-1,167540,-1,362924,-1,714996,330354,716073,278694,880579,352112,546918,-1,697786,838278,744233,360308,642869,49934,875349,-1,-1,-1,-1,261496,568821,-1,-1,-1,676294,-1,-1,170102,205192,-1,613387,-1,363320,709737,284670,-1,-1,-1,461467,-1,-1,-1,775637,835363,704348,-1,878183,-1,88116,61206,125639,-1,-1,178391,-1,884225,311955,479891,-1,410568,-1,830119,-1,-1,673461,-1,175391,121885,-1,-1,-1,486129,979781,-1,431691,124788,-1,318459,84166,-1,460228,587573,818986,307888,-1,577678,-1,-1,-1,989418,-1,-1,-1,-1,744523,-1,236290,-1,-1,-1,-1,363735,182277,-1,696359,-1,-1,539296,523088,146203,144261,-1,-1,-1,910466,-1,842997,704969,174393,2137,-1,-1,831716,-1,-1,-1,-1,-1,-1,-1,-1,857766,180918,929262,849528,928845,-1,108871,23122,721642,-1,429910,-1,573852,73194,998879,671133,331154,481786,560796,281091,-1,209235,202638,-1,683758,412763,-1,879143,-1,819761,-1,-1,-1,-1,-1,516517,-1,-1,-1,962769,-1,327803,623255,-1,731204,728499,-1,-1,-1,867334,145381,120725,-1,-1,-1,-1,484011,758729,775696,183540,-1,341957,-1,61679,393802,-1,851581,-1,914122,-1,183677,-1,-1,-1,923758,448026,-1,162985,673597,-1,-1,295474,-1,963816,-1,728768,-1,336340,115955,-1,921972,800629,-1,-1,935204,-1,256750,3338,825203,-1,743444,299035,-1,-1,-1,752390,-1,-1,820832,-1,811908,672726,65601,-1,566573,-1,568261,683266,-1,157000,52316,-1,-1,-1,-1,-1,-1,-1,-1,-1,724396,250314,570087,50424,-1,72722,-1,-1,-1,-1,-1,65958,324594,-1,898901,250899,177011,-1,300864,198815,-1,-1,-1,694152,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,456721,975903,456526,-1,317330,925396,-1,749845,240451,956416,-1,-1,-1,-1,-1,783064,692424,-1,-1,-1,722515,-1,705166,563282,-1,536042,-1,6077,-1,-1,711338,436675,396589,-1,750778,702782,711346,160261,565528,213355,132237,467427,49503,-1,-1,454645,564424,891764,114,-1,797913,644748,-1,-1,889104,151004,-1,62451,886807,242297,-1,40354,-1,-1,287005,570218,-1,624558,-1,-1,524256,-1,-1,103663,-1,-1,-1,-1,600316,192616,-1,-1,-1,181810,-1,-1,395081,963518,211022,432952,823707,-1,-1,320438,-1,523711,685651,403491,-1,604297,483739,-1,-1,905404,405294,-1,15149,-1,531109,804783,-1,-1,-1,-1,-1,750742,489484,455233,-1,-1,972666,247842,-1,863348,-1,-1,491761,-1,595910,-1,-1,-1,-1,684301,-1,125712,181838,903957,162964,513917,-1,130867,-1,282699,-1,-1,-1,-1,202074,-1,-1,-1,-1,247628,-1,51977,431976,61909,732729,798342,784749,199322,-1,845638,81982,-1,-1,-1,744269,-1,-1,-1,407697,-1,155603,-1,-1,718730,52086,-1,-1,319373,248832,-1,400055,82551,455044,621835,606098,-1,82908,-1,344491,-1,381079,33182,38262,-1,-1,722485,412215,198688,567668,841083,-1,576715,271341,-1,70641,188810,-1,687670,-1,-1,-1,750611,-1,813175,-1,894860,175761,409786,137616,-1,966505,-1,798913,660502,523195,94026,-1,-1,284458,504762,-1,267214,419061,705244,892902,-1,-1,-1,296010,102792,-1,679044,640889,-1,403333,-1,46423,368772,154134,-1,747311,330116,654163,-1,-1,124148,652305,-1,-1,-1,913081,-1,738410,-1,-1,-1,-1,200234,-1,-1,-1,-1,-1,286178,398131,146498,-1,662533,898644,342904,12854,-1,648638,112020,795283,-1,66754,681162,-1,-1,594002,-1,631746,53707,-1,-1,871481,-1,-1,-1,-1,360621,-1,-1,709575,-1,646792,515776,847248,-1,-1,447337,-1,-1,665151,514413,-1,661530,863661,-1,621139,-1,-1,594237,43908,286281,804441,248167,-1,-1,336607,952096,84752,-1,98903,-1,-1,793260,-1,-1,553352,-1,85107,352354,180183,-1,813560,-1,690672,54355,-1,894313,993648,-1,149114,-1,485988,724231,-1,-1,164312,893106,-1,-1,-1,652118,972018,48007,693587,479153,-1,-1,-1,193461,7548,494102,813349,-1,252473,936204,-1,-1,-1,859600,-1,793869,-1,667464,518241,905306,-1,-1,-1,-1,451507,-1,-1,105380,513355,445712,-1,-1,193420,-1,839830,-1,980425,628452,736177,-1,-1,-1,-1,548536,-1,397113,78252,765907,866005,-1,-1,281833,965805,-1,449744,665679,495104,347851,99870,-1,-1,720045,-1,-1,-1,-1,979293,686871,852861,211326,559674,-1,-1,736248,871816,-1,446274,144521,953770,-1,-1,370177,-1,781549,-1,838491,521184,393690,-1,422967,-1,-1,50997,895239,898353,671042,219674,693586,-1,725645,-1,-1,64112,188798,-1,-1,770,-1,920285,75955,684732,-1,-1,-1,865243,-1,-1,-1,-1,800145,-1,-1,491198,276273,746999,667578,243781,-1,244008,328894,-1,252960,335509,-1,399270,892274,160345,-1,-1,-1,23299,-1,79137,-1,-1,434385,-1,-1,-1,325819,-1,352572,942700,128552,-1,124437,726870,28898,635206,-1,889397,897093,-1,208457,236925,30577,702361,-1,-1,-1,299051,5595,-1,-1,196723,422957,-1,-1,633774,-1,-1,-1,-1,33596,992058,-1,-1,293370,620979,41089,-1,-1,881294,775488,582455,-1,190650,864138,-1,-1,-1,149778,966445,594978,295014,578080,499470,-1,878392,-1,-1,-1,347415,-1,-1,-1,794038,-1,-1,-1,-1,-1,458615,-1,-1,-1,-1,48767,-1,-1,-1,111543,548037,-1,-1,-1,52808,-1,-1,155555,67630,-1,383466,-1,-1,-1,-1,-1,912014,-1,129975,-1,-1,115814,-1,679677,-1,-1,294916,-1,-1,770555,749055,122432,490544,834859,-1,-1,175648,827439,523817,161323,514994,45005,-1,-1,-1,58136,541235,-1,-1,366236,860930,-1,450759,470096,241091,-1,-1,1754,838661,881648,156753,-1,-1,-1,808521,230341,272002,349170,802901,76142,-1,997739,-1,991558,-1,34512,634650,-1,725874,-1,143492,-1,-1,843242,-1,-1,-1,269216,-1,407270,-1,-1,-1,465266,-1,-1,172848,820525,945826,-1,-1,747579,820574,220164,443187,457649,193127,97773,751256,492685,-1,266166,468833,-1,190817,-1,-1,825400,-1,-1,464344,898917,-1,-1,72470,-1,-1,980176,236756,-1,292251,452726,241224,302265,622649,-1,-1,47921,393356,916547,421931,55253,400121,-1,-1,-1,996599,-1,687576,-1,-1,489826,-1,37032,713190,-1,-1,-1,379684,-1,-1,77537,395286,-1,782741,751678,361937,221828,-1,513287,139775,561234,-1,-1,103662,-1,367237,-1,-1,87837,-1,-1,-1,-1,469031,-1,587519,-1,-1,-1,-1,325060,525603,-1,-1,-1,43806,31894,524413,361670,345523,788417,692783,984409,697089,913101,-1,-1,-1,411204,-1,-1,-1,618778,384792,-1,428555,-1,-1,103062,-1,694097,-1,400825,-1,-1,-1,-1,242412,295575,2809,-1,36845,-1,55625,-1,-1,824811,4936,669129,417002,-1,-1,118224,-1,828897,-1,832773,281044,-1,592697,-1,754962,-1,-1,-1,-1,-1,-1,642719,-1,-1,248972,281586,493847,-1,-1,-1,527917,-1,344493,-1,-1,-1,299527,-1,-1,372954,279880,451145,-1,507843,-1,-1,639773,60302,-1,-1,382801,104045,337300,727259,-1,-1,18213,310463,486861,-1,-1,-1,-1,-1,676403,-1,-1,-1,-1,708758,-1,-1,-1,634573,265647,-1,631211,671161,-1,-1,-1,-1,740697,-1,-1,-1,119227,-1,-1,-1,491419,-1,436069,841142,-1,655,-1,-1,583889,-1,-1,160725,828564,-1,-1,-1,-1,736981,138819,891399,-1,-1,-1,-1,629278,748859,329972,-1,958976,538747,499134,-1,-1,-1,-1,-1,-1,560471,924248,689702,32956,225746,-1,457667,-1,-1,734220,944203,-1,-1,-1,457011,464546,731201,-1,970392,-1,-1,-1,734587,315675,582722,372046,451961,582858,-1,316022,912031,-1,-1,116572,-1,759485,-1,215677,14425,121075,-1,-1,-1,877063,937298,317448,-1,262845,-1,-1,-1,-1,174279,138856,-1,285260,795819,-1,-1,-1,-1,-1,-1,-1,-1,537514,-1,882825,-1,-1,-1,-1,-1,-1,180498,-1,-1,-1,587965,-1,18850,504685,838778,-1,36395,-1,44137,554836,-1,192418,-1,563994,7753,872126,811256,420230,-1,-1,152948,380870,-1,-1,-1,-1,463825,-1,-1,770380,-1,410193,984157,828582,-1,540194,-1,858732,-1,-1,313393,72908,780787,-1,819200,-1,-1,-1,-1,-1,118440,-1,455112,-1,722373,464708,473197,-1,256250,-1,-1,-1,956574,-1,831190,-1,226393,284732,83758,519568,-1,-1,57822,385571,239153,904556,-1,-1,-1,686352,829088,166850,-1,917118,455228,-1,323917,858233,353420,915760,-1,-1,-1,497026,-1,293769,717017,-1,-1,-1,338814,-1,319873,533537,-1,-1,396406,-1,-1,-1,380802,-1,-1,-1,447260,-1,-1,-1,562463,-1,-1,-1,-1,-1,666419,-1,567064,955086,-1,-1,735610,-1,309408,-1,-1,407581,-1,-1,726912,-1,-1,-1,-1,-1,-1,-1,237641,621687,-1,-1,823955,536677,-1,-1,184551,-1,-1,-1,-1,-1,-1,-1,-1,192561,-1,-1,-1,-1,-1,347774,-1,-1,254221,120889,34723,705598,244408,-1,18390,315990,589284,-1,735901,845426,-1,126517,-1,710239,-1,-1,-1,-1,663108,-1,-1,916201,-1,-1,-1,-1,-1,-1,661093,-1,-1,892826,-1,423459,133155,-1,-1,-1,-1,590622,-1,-1,-1,-1,345563,-1,519092,-1,833755,-1,683236,-1,500271,736835,-1,-1,-1,325677,-1,-1,732647,-1,-1,-1,727623,-1,977743,-1,682812,-1,-1,767902,-1,-1,735841,-1,-1,899531,63858,444761,-1,183983,708794,958776,150124,567838,116752,508224,-1,837632,-1,-1,-1,-1,-1,-1,913394,-1,164692,-1,-1,-1,448438,-1,-1,-1,751371,833394,-1,-1,355300,-1,67390,-1,78183,104149,750376,-1,-1,390472,-1,-1,588080,957209,609769,764138,233423,919372,-1,204040,352724,-1,722276,-1,-1,948079,-1,660964,-1,-1,-1,43551,-1,608124,-1,-1,88905,117202,682462,668162,18728,846960,-1,983788,76301,-1,819543,-1,-1,-1,-1,858203,-1,-1,-1,376202,197510,343066,711302,583457,820655,-1,47104,-1,-1,-1,107546,-1,-1,83947,478326,-1,254518,849568,496198,930046,-1,-1,-1,-1,284486,-1,-1,104334,-1,936870,-1,-1,-1,92432,-1,974364,-1,264961,-1,404699,615964,903364,-1,658165,358786,400003,-1,-1,771038,-1,555840,299279,-1,960896,-1,28851,-1,433206,-1,406000,112610,326218,588870,589418,-1,-1,-1,-1,754526,579879,-1,-1,989561,292381,-1,976292,75256,690955,273119,-1,-1,-1,761539,967935,-1,-1,-1,-1,370562,-1,-1,787677,689019,996760,270466,606908,878098,221829,-1,-1,-1,407457,586159,485023,-1,704358,32532,873505,386074,214115,-1,-1,-1,-1,-1,-1,-1,121661,50996,-1,-1,168467,258291,-1,-1,727859,800331,462058,430588,-1,987898,-1,217076,-1,328682,184988,-1,-1,-1,-1,-1,477347,-1,701876,-1,-1,659085,-1,890696,15999,-1,402835,-1,-1,523798,-1,617203,750134,-1,545727,-1,523433,-1,340114,427685,-1,-1,-1,-1,113892,-1,-1,984917,626494,-1,-1,-1,-1,-1,-1,-1,-1,-1,440848,-1,-1,918425,8430,-1,-1,-1,69429,336133,645709,792849,-1,166245,104642,682212,-1,462928,-1,593882,-1,31602,-1,410632,380202,28303,602486,116814,448559,-1,-1,-1,230619,886783,653553,-1,-1,464501,370799,903660,-1,234259,232560,514945,-1,-1,-1,-1,-1,-1,708047,41175,557647,-1,631772,856981,102168,809598,999987,-1,356071,-1,19234,832227,-1,395913,42933,447116,651365,-1,480740,-1,950116,110634,-1,554707,768204,183341,-1,-1,211295,386362,-1,-1,-1,-1,467092,271509,-1,744737,164929,-1,352790,323260,-1,-1,741995,-1,465949,-1,97565,36923,252534,335112,-1,448689,-1,-1,293616,491619,261570,580868,513061,84061,-1,255271,-1,-1,-1,-1,-1,-1,-1,-1,165253,543295,-1,305580,698822,-1,-1,-1,-1,776759,-1,-1,-1,-1,862648,-1,167992,-1,-1,-1,685132,177997,-1,-1,51617,824288,20575,-1,927201,-1,262077,-1,-1,-1,319545,918312,-1,-1,-1,517902,-1,11945,33069,-1,-1,-1,-1,-1,652740,788103,-1,176064,702777,-1,347277,-1,940250,71777,863581,-1,-1,-1,650810,-1,319986,-1,859604,395570,-1,72561,125578,274017,-1,692785,499456,608500,-1,-1,202836,-1,-1,791141,-1,401966,935705,-1,-1,-1,-1,-1,-1,-1,-1,172046,-1,557572,-1,326914,675367,-1,19526,-1,578238,131267,908979,130429,563875,-1,-1,-1,571435,911929,799932,342778,339266,-1,-1,16829,379568,-1,719203,-1,492319,707352,211484,594062,461301,-1,586638,-1,366951,888809,-1,168968,465349,400922,-1,-1,654530,597194,116298,-1,-1,-1,33588,210586,-1,-1,853735,807883,-1,699701,323861,523787,510832,-1,-1,-1,311386,-1,27245,-1,727302,-1,-1,-1,887956,-1,434941,-1,-1,266268,-1,857878,121418,792861,-1,239944,-1,-1,-1,442385,51280,421851,-1,347271,-1,-1,-1,993896,491780,-1,-1,825186,-1,279022,-1,13325,-1,651607,-1,980379,-1,-1,-1,125515,238046,-1,938919,-1,534917,-1,355560,-1,398488,538008,239839,969798,401020,-1,226073,-1,939780,828209,783530,-1,-1,44680,-1,201281,970987,357925,-1,925788,889473,-1,-1,-1,590947,785630,787008,-1,-1,601558,-1,-1,-1,296033,707280,53357,-1,351425,-1,786801,798656,22614,355128,216940,-1,793155,-1,-1,-1,-1,478479,-1,-1,7493,-1,-1,-1,280480,479111,-1,-1,-1,890163,-1,-1,-1,-1,-1,781924,408519,172864,239701,459044,-1,644592,918340,368085,801489,-1,-1,605219,-1,374043,-1,152675,582249,927665,-1,245386,124307,-1,282079,-1,646140,223752,610088,-1,-1,-1,302757,-1,505753,721868,937308,-1,97695,282321,245569,12578,-1,755627,806543,-1,-1,81281,309310,229183,-1,-1,370256,-1,344378,927422,368797,566709,-1,512677,337872,675291,268821,-1,-1,-1,-1,-1,270599,-1,476063,-1,-1,-1,770502,243180,-1,-1,292722,804191,499294,899115,-1,139720,8707,78190,-1,-1,-1,-1,625770,485942,-1,58469,970871,128908,-1,-1,495629,-1,-1,430675,-1,899986,-1,-1,206787,119577,-1,413890,-1,-1,-1,-1,-1,128008,173587,678750,-1,945681,-1,679426,-1,-1,-1,548327,266188,-1,-1,-1,-1,645710,460920,747410,-1,-1,-1,206622,-1,688739,-1,-1,-1,-1,-1,264184,520683,387140,-1,-1,-1,-1,327523,-1,-1,760128,-1,438719,-1,-1,-1,-1,-1,-1,360189,-1,780291,-1,-1,987656,-1,922730,-1,-1,709604,-1,-1,-1,-1,704303,-1,995555,-1,551269,-1,124430,931270,893477,19729,-1,734636,-1,788545,-1,-1,-1,889275,-1,-1,504675,631014,-1,-1,-1,-1,763829,117151,738154,962331,-1,750751,-1,689004,186908,-1,-1,-1,240831,-1,295817,-1,-1,-1,971331,-1,-1,-1,-1,61307,483521,443783,-1,-1,-1,-1,154284,-1,929053,-1,-1,940920,-1,-1,-1,-1,998028,-1,-1,-1,287073,812983,722817,9709,-1,159586,-1,-1,770985,-1,-1,-1,-1,-1,-1,-1,65363,-1,611687,-1,256776,513817,358547,-1,872033,929889,-1,-1,-1,151848,-1,-1,297218,857181,-1,637712,-1,-1,-1,-1,-1,201297,-1,791442,-1,918947,288839,524912,208902,-1,-1,-1,420745,-1,-1,63269,262535,578531,-1,-1,-1,652795,-1,-1,90162,623230,-1,608835,610826,-1,-1,-1,171533,964434,869367,-1,106813,678380,-1,-1,688375,286542,81827,-1,429590,268297,-1,-1,-1,846325,502243,327209,392425,-1,570325,-1,-1,-1,-1,-1,417704,509253,573271,-1,219375,454475,42683,-1,-1,836907,415090,-1,-1,-1,-1,655678,-1,41586,-1,-1,-1,-1,331788,352321,-1,370130,-1,-1,-1,-1,-1,-1,244649,657326,-1,736430,876285,-1,-1,323485,764314,351638,89962,-1,-1,-1,-1,-1,288913,137064,549681,-1,659427,558846,-1,-1,-1,-1,-1,303456,-1,-1,-1,-1,301501,493017,-1,146480,-1,-1,-1,130047,-1,-1,-1,-1,504305,339018,-1,243365,54100,-1,411569,716334,784013,-1,518222,-1,-1,869000,101727,-1,997931,735286,-1,632311,588009,728497,-1,132754,-1,-1,759427,-1,396467,307252,-1,648418,-1,-1,-1,853655,-1,-1,-1,-1,715852,362316,-1,-1,-1,204552,-1,-1,855081,-1,810796,450429,157241,-1,-1,32776,960933,-1,500269,-1,610926,-1,242755,-1,794406,231555,616716,-1,-1,-1,-1,-1,-1,-1,-1,119017,-1,186635,328874,-1,567230,103331,-1,264111,574421,723286,-1,-1,247656,-1,102938,209695,359511,-1,-1,-1,690113,630758,-1,634994,906953,-1,-1,865241,207302,-1,22135,395259,274701,-1,-1,-1,-1,631316,-1,-1,311048,-1,507802,156701,-1,75912,-1,-1,190464,-1,32193,654110,-1,-1,-1,197338,228758,942484,803316,-1,253137,-1,-1,63106,-1,589430,509522,-1,421417,542110,650047,13922,969210,623391,-1,296363,146861,418345,-1,923975,-1,-1,-1,818270,911428,-1,-1,-1,579140,647676,-1,200913,-1,349789,717990,98429,246391,-1,-1,508616,217331,-1,477191,-1,-1,343097,367851,-1,-1,-1,916259,429061,551093,152517,698617,173209,913835,1271,946300,-1,957232,-1,368790,-1,-1,-1,479853,145818,919072,563560,-1,-1,-1,808135,57729,651032,-1,-1,425069,968654,-1,-1,893571,-1,-1,-1,768629,-1,719289,-1,618601,459479,242749,372664,-1,214415,-1,783028,181291,522493,-1,359877,423098,697306,822065,-1,-1,629661,-1,-1,283672,-1,-1,-1,860803,4744,-1,585983,511899,-1,506919,-1,508178,-1,705984,514307,-1,-1,-1,-1,615323,999107,-1,93825,-1,292971,-1,-1,498225,-1,-1,-1,-1,237769,-1,-1,322919,397230,435964,-1,977799,-1,801392,695577,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,310090,544271,114927,-1,-1,239931,-1,889555,-1,620528,267512,-1,-1,798021,247395,-1,-1,-1,330279,-1,35120,-1,445909,610979,265891,536728,751388,-1,495455,275297,-1,-1,-1,316856,-1,-1,-1,-1,703873,-1,832942,838262,585775,-1,771584,734478,-1,861080,134696,-1,-1,637666,676322,-1,-1,980473,461408,-1,110803,456080,419820,710271,246413,177831,-1,-1,-1,-1,230465,634802,79748,-1,-1,-1,-1,-1,-1,730932,409724,503736,263103,72282,486459,-1,146921,-1,-1,107262,-1,-1,-1,578799,-1,541248,172070,559085,500272,647265,367250,616539,-1,362668,28801,722609,-1,719413,884588,651774,-1,996993,-1,-1,-1,-1,571900,-1,-1,365291,230408,-1,-1,-1,213179,-1,-1,-1,483873,403689,752174,-1,-1,536273,-1,563532,377121,-1,981090,371587,-1,-1,-1,575074,134694,821312,-1,597516,336511,-1,-1,-1,744193,193613,224424,-1,-1,473855,-1,-1,535911,910693,292445,861680,-1,424441,-1,974075,-1,563180,188635,605611,-1,174747,-1,985444,330465,143909,-1,823035,-1,-1,480180,-1,-1,-1,-1,-1,-1,793853,807428,-1,326035,-1,90502,-1,883938,-1,269262,-1,822583,-1,619060,582208,990607,387775,423317,-1,-1,183436,-1,-1,-1,236997,271241,-1,-1,-1,97933,-1,597786,-1,178111,531929,-1,-1,-1,-1,-1,604024,-1,-1,906611,207446,-1,806212,-1,189107,627609,-1,-1,798053,420420,591525,672853,-1,279851,644473,-1,66957,55616,-1,-1,276709,-1,-1,488272,-1,871320,-1,198826,-1,914899,-1,65936,914849,-1,-1,681807,-1,-1,-1,-1,-1,503379,-1,192508,645013,72510,300170,-1,-1,-1,-1,494038,544172,-1,-1,565727,206874,-1,408063,-1,-1,-1,-1,672610,330014,44770,656034,587776,779367,-1,-1,284892,744834,251123,-1,458227,-1,853415,847380,-1,-1,-1,190160,-1,2307,-1,-1,-1,-1,-1,-1,700934,319171,736967,422895,958602,-1,-1,-1,938521,266176,664575,580467,-1,845980,964667,737563,-1,880552,421842,603193,-1,14661,55397,-1,-1,606610,-1,-1,-1,-1,952622,-1,-1,-1,752473,756662,633418,-1,-1,28755,810898,-1,-1,-1,-1,955561,-1,722337,662127,757132,-1,-1,338763,-1,-1,975486,-1,985072,352462,-1,-1,-1,861218,-1,-1,828554,-1,836881,466700,879550,310884,456106,967278,-1,-1,-1,112891,520123,-1,-1,609338,878502,108256,682925,-1,-1,356952,253159,340863,628600,-1,-1,141621,-1,-1,-1,634326,-1,904132,-1,-1,-1,-1,251238,643225,-1,-1,-1,-1,-1,674624,-1,-1,-1,107420,809854,-1,-1,185183,-1,-1,574564,335259,176834,456864,626903,-1,-1,506426,-1,225103,132292,-1,-1,615768,-1,-1,474757,-1,647572,923587,-1,748538,209326,183176,441927,-1,23580,-1,-1,-1,-1,695248,-1,-1,363726,-1,-1,-1,-1,-1,-1,594013,-1,56764,-1,-1,-1,-1,913721,-1,376847,-1,174810,-1,-1,723434,965199,-1,80352,426031,-1,164279,280640,574014,-1,441297,-1,53138,572992,875141,-1,-1,950638,-1,-1,524612,-1,-1,-1,-1,967309,875521,-1,937872,80046,-1,-1,289461,647925,552527,-1,15823,164560,-1,331264,548733,864752,-1,344409,-1,-1,925136,-1,110160,140297,838894,210028,733033,948755,982019,-1,-1,-1,-1,467600,-1,784553,-1,-1,-1,-1,-1,643340,785762,-1,-1,-1,303547,478511,216670,142697,611536,-1,82170,404231,-1,386793,-1,-1,-1,57127,-1,-1,987818,-1,578370,-1,-1,659938,627808,399918,-1,488604,-1,-1,62466,-1,925192,-1,-1,79768,-1,-1,-1,-1,128224,75248,-1,763886,-1,329369,907148,-1,-1,-1,381999,-1,732079,-1,-1,782893,-1,907770,344619,39309,320519,-1,-1,36145,-1,461130,449896,-1,-1,-1,246804,-1,-1,-1,778379,594262,-1,712222,425876,-1,31997,652335,-1,835753,496596,-1,-1,-1,673138,-1,-1,-1,141695,-1,332638,410401,632758,-1,108839,895449,-1,-1,-1,330674,631535,-1,488212,56664,35189,472418,594052,-1,204953,677178,-1,-1,973742,690479,489131,-1,114980,349911,-1,-1,-1,976251,230482,375816,-1,-1,488077,-1,-1,595489,-1,-1,-1,397399,-1,108855,848046,-1,327708,447099,-1,737900,390968,403737,-1,473708,202084,454689,230534,551177,-1,649497,599428,512259,127163,-1,539248,-1,-1,317770,-1,-1,-1,363818,-1,841046,710247,93222,535611,-1,505294,-1,-1,-1,747710,272926,-1,383905,337447,-1,-1,729452,275902,-1,167680,469791,-1,-1,187028,-1,71839,-1,933515,381415,755280,-1,142766,-1,-1,546903,335310,215724,-1,-1,-1,-1,-1,560861,-1,262593,-1,-1,-1,943544,210652,-1,349520,838257,-1,-1,-1,-1,-1,388416,-1,280318,804205,-1,-1,612209,944762,618811,864668,13147,-1,828056,-1,747060,-1,-1,783171,318904,413886,-1,43237,-1,-1,223969,-1,-1,-1,-1,167254,-1,175069,60583,823334,-1,-1,709010,265119,-1,-1,816629,-1,-1,-1,-1,121543,-1,830019,468724,-1,42075,-1,833925,-1,-1,956179,-1,-1,423939,190145,-1,928449,-1,96959,473687,-1,-1,819502,882103,498919,131397,-1,-1,-1,982001,611600,-1,-1,128916,130637,560698,-1,-1,763740,-1,952628,-1,504779,-1,-1,122829,782486,-1,-1,-1,469707,494034,-1,471803,383643,-1,536609,-1,-1,-1,-1,163596,343468,535557,978798,-1,684625,833538,-1,724942,-1,48536,-1,-1,-1,-1,625477,624580,322072,525824,762771,-1,-1,-1,-1,63813,-1,-1,793622,697408,-1,-1,-1,67948,864171,-1,-1,418614,608496,316815,516999,-1,-1,-1,362289,-1,362999,881140,944558,-1,907884,663561,-1,830662,-1,-1,-1,283064,622747,-1,-1,475721,-1,267687,207650,962890,424380,-1,-1,-1,999315,100790,124543,-1,-1,-1,-1,-1,926168,-1,-1,9940,966587,-1,-1,13100,-1,464476,-1,146408,346366,-1,-1,-1,-1,504380,997195,65114,178207,-1,364252,-1,611971,-1,790347,-1,612940,269841,-1,991290,-1,-1,-1,469733,-1,531718,-1,-1,-1,233990,-1,-1,-1,895109,631393,242190,533351,-1,-1,-1,-1,953012,358170,114165,-1,-1,985944,56951,-1,-1,552813,410172,-1,84803,716087,951552,-1,251901,793482,654633,-1,535423,198813,771772,-1,-1,-1,-1,-1,827303,-1,658871,164488,-1,789378,-1,-1,-1,-1,118112,403533,-1,14776,-1,442200,737330,563404,898079,899534,-1,484607,-1,94427,-1,962655,690460,506198,724670,788300,846411,456432,-1,-1,947663,-1,123033,-1,1181,-1,-1,915132,830908,-1,941306,214581,600678,425790,88486,152005,571661,-1,581632,-1,875229,-1,415444,5768,144193,74807,780834,232306,283146,-1,-1,-1,-1,-1,335939,-1,-1,-1,-1,-1,773060,109367,480648,690633,939022,547105,636006,340054,307082,274452,-1,146816,-1,53219,-1,-1,490201,-1,412896,88291,851559,583662,427487,61497,-1,-1,-1,-1,-1,707831,-1,-1,668450,18303,-1,411411,225350,805647,799866,147601,789520,-1,520679,488810,858273,-1,410885,-1,-1,494799,475116,-1,584404,990601,759920,-1,461482,-1,-1,-1,-1,431218,-1,871684,-1,-1,608514,-1,-1,675097,186897,724346,-1,172991,-1,-1,-1,717236,-1,-1,-1,769504,-1,16682,-1,107333,-1,145579,439920,-1,-1,-1,331896,55831,233058,886884,272812,-1,-1,-1,31378,742469,-1,324100,-1,-1,504175,64118,-1,-1,289472,184661,-1,835027,-1,-1,-1,707878,-1,-1,655073,-1,-1,57539,133932,476138,797092,942340,-1,337029,211930,-1,499549,-1,-1,-1,-1,-1,352446,791221,-1,658707,-1,459295,-1,-1,53973,748081,270533,-1,-1,835198,-1,-1,696305,589146,-1,-1,-1,-1,-1,-1,813047,-1,216802,-1,-1,337034,-1,846143,-1,-1,-1,-1,139711,-1,623271,678129,-1,772538,-1,259832,-1,817739,-1,-1,845387,-1,-1,213214,193844,-1,-1,993837,-1,38662,-1,-1,908422,-1,-1,-1,-1,716780,2553,333128,-1,911879,426926,-1,430847,-1,-1,874363,76774,-1,-1,437466,316871,345186,347490,810434,828371,440875,408203,-1,-1,656368,-1,-1,-1,-1,-1,123197,-1,-1,362325,-1,447607,-1,414538,378644,627173,-1,241223,642707,-1,496354,-1,197148,-1,-1,891708,-1,-1,-1,-1,-1,-1,-1,-1,565353,-1,474887,499247,162908,274026,-1,257842,571128,-1,409589,-1,-1,575289,-1,658899,269115,-1,683485,939245,200113,-1,835735,601151,694839,-1,645263,916934,-1,-1,-1,-1,652884,807168,441606,-1,-1,551554,600792,-1,562813,-1,-1,-1,401034,-1,-1,-1,39241,-1,873998,563491,-1,403051,960889,-1,-1,711298,-1,-1,926560,-1,-1,761291,954165,59067,-1,-1,-1,-1,900008,671898,-1,-1,-1,-1,202927,-1,-1,-1,-1,935597,-1,293377,984190,19520,-1,347359,923018,-1,101074,289306,588952,323775,157876,-1,-1,312669,-1,-1,-1,758854,-1,200835,-1,-1,-1,405193,750196,-1,961729,67632,-1,-1,358264,-1,-1,-1,-1,-1,-1,883692,744832,-1,-1,579055,856273,-1,-1,-1,717680,-1,565922,-1,-1,-1,-1,29517,-1,178160,-1,175035,-1,-1,263749,825456,-1,488291,521553,-1,312973,-1,292273,-1,-1,-1,544705,650809,374829,-1,-1,-1,979429,146944,-1,182041,-1,-1,-1,239700,15468,-1,-1,-1,554128,-1,-1,656715,-1,51965,-1,377028,-1,197554,392069,-1,-1,457,-1,302981,-1,867637,-1,-1,256531,-1,993747,-1,-1,-1,108869,-1,-1,174166,-1,497047,551968,197842,-1,-1,220345,-1,-1,-1,-1,-1,160300,-1,396298,-1,-1,93245,-1,-1,-1,502415,922177,-1,537288,151519,455787,580112,-1,761268,948700,-1,-1,-1,-1,423227,-1,-1,-1,-1,-1,682120,501379,-1,-1,121113,238818,-1,169668,-1,-1,-1,-1,-1,350894,-1,-1,172360,765429,-1,-1,153282,-1,211166,834438,-1,-1,-1,843222,-1,-1,-1,-1,43343,-1,-1,9366,-1,23815,-1,-1,726172,-1,934318,-1,283811,608953,-1,960746,-1,978632,-1,-1,-1,679099,-1,-1,257398,177886,728976,-1,472690,786438,-1,421129,441184,533344,803302,-1,-1,597086,225488,742147,599530,-1,-1,646285,-1,529079,-1,158422,323709,449875,-1,525554,-1,641919,-1,-1,-1,-1,-1,879050,-1,-1,538076,281822,-1,73968,-1,-1,179202,-1,832274,-1,831791,842303,-1,-1,46469,137070,-1,40826,-1,395844,383408,767124,979343,-1,397826,680141,41532,-1,-1,-1,-1,-1,-1,-1,-1,715936,-1,694504,147950,709765,699834,-1,175519,-1,711251,879153,943024,349771,221583,973759,991921,-1,735026,55427,271415,937252,-1,-1,3956,-1,912207,147818,-1,-1,866622,840016,-1,-1,648050,-1,941521,210271,422350,-1,-1,-1,-1,996737,-1,379818,-1,128875,-1,-1,-1,-1,-1,901780,222617,533852,-1,706699,-1,873514,-1,-1,-1,32175,4930,-1,262498,375877,-1,-1,129366,-1,872916,-1,319838,-1,228531,64216,-1,270581,-1,813977,300328,94497,-1,106164,519402,-1,844494,-1,-1,-1,158338,-1,6775,278729,-1,-1,-1,260603,861831,175749,-1,755346,612252,904625,-1,686760,76167,-1,-1,494438,-1,456239,-1,-1,-1,480903,225970,803905,-1,874268,-1,297285,-1,-1,365385,716960,343936,449288,-1,555824,-1,320311,947046,-1,-1,-1,225559,200157,977781,-1,-1,765869,-1,-1,-1,-1,-1,289623,308864,55588,978603,-1,166577,-1,-1,396928,669205,-1,-1,372273,939031,-1,-1,199709,-1,739995,190308,-1,-1,899889,-1,513883,955876,858202,-1,-1,-1,644964,186573,-1,347934,348360,-1,151325,-1,605244,-1,-1,-1,911208,817546,-1,294679,505235,478074,947879,-1,-1,-1,-1,824714,-1,434032,-1,-1,955918,213118,677019,483248,-1,-1,-1,-1,-1,471553,-1,-1,991559,-1,-1,-1,524070,147118,430100,94048,-1,-1,-1,-1,-1,-1,215645,-1,-1,767800,-1,-1,-1,678131,-1,592344,450666,-1,-1,-1,-1,-1,-1,-1,-1,899042,-1,763247,672501,-1,-1,-1,-1,-1,388450,912949,159615,-1,989357,463317,-1,657923,-1,-1,-1,785509,408161,852129,148368,632831,483593,-1,-1,-1,929161,224889,306087,456375,209547,302837,-1,311860,-1,-1,501367,560278,-1,-1,-1,882872,-1,-1,-1,870540,-1,-1,-1,633773,222242,-1,59371,298969,-1,-1,-1,-1,569540,949724,-1,918224,784223,-1,-1,-1,-1,-1,-1,-1,34550,-1,-1,399716,312301,963231,495294,992757,152738,950489,-1,271286,-1,122663,-1,-1,-1,560832,107132,-1,-1,-1,-1,-1,886895,608793,357063,604035,853285,62009,-1,-1,455176,-1,676997,75079,488352,-1,-1,3556,-1,736842,577960,484228,-1,-1,347936,93905,-1,-1,420415,435093,819450,-1,-1,950827,-1,-1,912457,93235,431489,572740,145957,596286,-1,-1,398480,28281,-1,-1,-1,494609,-1,-1,-1,-1,228063,783820,352798,611295,-1,236529,876283,-1,-1,-1,550927,9062,470862,411504,462421,919898,763977,9495,321060,169988,-1,-1,655584,-1,208545,835752,-1,-1,-1,-1,-1,930931,730392,-1,191421,815856,-1,742510,-1,-1,-1,23716,-1,685768,-1,840007,233134,30422,-1,-1,-1,-1,798134,-1,578193,697850,-1,-1,232624,31040,-1,-1,100471,-1,726705,566200,292832,47110,-1,-1,-1,47036,-1,-1,833532,147291,207755,-1,831481,628702,-1,-1,-1,502532,-1,154497,213074,67589,-1,-1,474133,969978,-1,783746,307190,97251,-1,863757,-1,386718,-1,-1,833513,305670,641251,427143,744476,-1,-1,-1,-1,-1,462855,-1,-1,-1,-1,-1,-1,-1,625564,42061,-1,104761,-1,-1,97358,-1,455758,197451,400452,-1,520139,-1,386508,68738,-1,-1,-1,961539,438804,-1,491507,-1,-1,-1,-1,149067,505496,-1,133853,312698,486290,730244,-1,-1,261737,-1,-1,-1,570989,689775,483742,920229,994735,178001,-1,740401,992781,399232,-1,802258,-1,442995,-1,466911,-1,649314,325193,-1,-1,-1,-1,-1,959914,304590,897596,871739,515916,542467,-1,-1,586820,279028,-1,360571,47319,-1,-1,274614,-1,-1,-1,733190,-1,-1,792575,681049,530851,-1,-1,307751,-1,548855,-1,514440,410750,270910,32925,270583,-1,-1,648039,-1,-1,434902,-1,83382,743570,396841,621112,483360,373265,-1,94539,463236,772121,-1,819239,-1,350046,730294,251038,-1,-1,839768,-1,598402,739814,-1,915021,-1,392754,355360,514351,865290,-1,-1,-1,-1,57007,886458,722465,361873,193170,896199,-1,-1,332972,-1,-1,916825,438396,-1,963287,760136,92926,-1,-1,93383,-1,525816,266484,797430,848275,-1,-1,-1,-1,396370,-1,-1,991514,-1,423959,-1,-1,307649,-1,789754,-1,82966,814637,-1,951519,665548,247255,-1,-1,86403,913541,-1,-1,818755,-1,530368,746569,-1,962076,492840,-1,-1,-1,236065,816501,-1,19287,667767,-1,-1,86371,456515,428189,88337,-1,-1,413260,-1,-1,-1,300417,-1,-1,-1,70972,-1,-1,117212,977819,-1,940153,-1,803426,509634,955790,3545,-1,954461,-1,-1,845443,-1,97613,-1,-1,-1,890031,145807,-1,322151,261271,175380,-1,543033,553422,-1,-1,701198,237501,-1,881715,-1,268865,740635,74061,-1,-1,-1,885570,62983,-1,488104,-1,29264,557156,-1,334213,-1,545651,-1,-1,273720,-1,480523,-1,-1,448435,-1,126091,-1,-1,702292,21331,-1,32914,585341,954637,169666,1060,541136,-1,19670,548643,-1,-1,911713,-1,-1,362268,-1,534723,774548,242312,-1,-1,545114,-1,200,248769,-1,995995,536763,519588,148789,299042,723962,-1,220585,508935,413238,994968,-1,-1,821678,-1,209642,-1,114885,660532,-1,659175,396957,-1,-1,415879,-1,-1,-1,119711,-1,-1,-1,-1,398622,-1,-1,-1,-1,644197,-1,923611,655891,189602,526239,674356,678302,295893,488123,939753,623407,367468,-1,-1,518657,-1,-1,46996,-1,445867,253734,44214,-1,-1,-1,972208,-1,-1,-1,-1,921898,-1,990049,204356,-1,252806,-1,-1,375543,867501,-1,-1,-1,-1,160756,889780,783497,540294,909953,380464,965760,-1,-1,939690,-1,681392,719571,356574,142756,-1,192072,-1,405919,768056,13394,-1,-1,175541,-1,470056,-1,967128,-1,614502,933124,91579,903449,-1,940584,-1,-1,897195,-1,975145,212678,610907,-1,764777,205070,12568,-1,124531,126079,494130,-1,-1,301345,-1,-1,580022,-1,-1,-1,878477,-1,-1,551872,-1,354669,584536,305448,854420,942212,-1,671046,-1,-1,88029,-1,-1,-1,-1,-1,181641,-1,94611,116949,-1,-1,-1,-1,-1,104053,154790,474536,88798,733289,557852,271342,685456,994103,9830,-1,933523,537242,-1,-1,-1,-1,-1,673568,147288,-1,-1,-1,-1,-1,728801,-1,-1,633307,39894,-1,-1,-1,-1,499363,-1,200995,821505,653385,44048,624227,-1,-1,785852,454929,-1,-1,-1,119875,373733,-1,-1,-1,-1,293228,-1,228082,276324,853827,-1,-1,-1,-1,610348,-1,-1,-1,-1,-1,-1,-1,593519,6888,851275,-1,-1,-1,120783,-1,-1,569528,-1,367866,53722,-1,197674,-1,532708,327203,-1,-1,723989,-1,619851,393884,-1,751779,-1,-1,-1,-1,169836,64514,858069,246611,-1,940303,-1,-1,-1,-1,465255,516007,-1,-1,-1,-1,-1,641615,-1,683187,712072,-1,486960,-1,776893,984177,-1,929967,376691,-1,-1,12419,528494,905292,-1,861320,-1,198201,492914,340238,375183,917401,-1,-1,614696,-1,-1,-1,19076,983257,-1,-1,-1,-1,-1,-1,-1,370398,-1,-1,-1,-1,-1,448684,100017,-1,-1,-1,506258,618331,-1,-1,322007,754879,387478,870222,159993,-1,211474,646397,774212,-1,-1,351717,415295,666667,119037,493113,379615,594089,664901,743902,-1,876548,30398,-1,-1,718699,861888,14964,-1,-1,984382,-1,435859,714208,472859,665122,-1,145873,311554,-1,-1,-1,59780,883178,924409,775402,405065,425658,754609,689928,-1,-1,804461,-1,114786,828462,346343,392608,-1,-1,416264,227913,-1,138276,-1,-1,574878,426795,127139,973411,240828,-1,-1,-1,487342,-1,446128,-1,555537,-1,-1,-1,674654,-1,98556,204226,687155,343650,709174,-1,338528,-1,-1,344048,-1,126346,-1,909377,-1,-1,139260,484703,16769,750452,-1,202200,-1,-1,971120,912621,-1,949773,-1,955085,-1,-1,824225,2229,-1,-1,432887,561723,-1,274169,481300,744659,839908,513255,-1,330257,-1,279005,985791,666319,394698,-1,-1,143110,87596,729198,541541,-1,154957,986219,-1,922489,732495,469599,-1,972875,-1,-1,-1,-1,323529,-1,-1,-1,-1,-1,-1,930438,640586,-1,-1,-1,999852,924645,785235,-1,966253,-1,-1,306639,-1,-1,-1,557734,104841,852551,352957,-1,-1,-1,-1,804078,952551,72276,-1,120605,788497,120227,580140,398016,-1,-1,969811,724204,-1,530204,-1,-1,865203,718221,-1,314703,304385,578151,-1,-1,383043,-1,551357,561897,375873,924760,-1,-1,-1,557857,-1,-1,60426,773508,-1,-1,-1,-1,741600,926784,-1,128031,677261,-1,529223,370314,-1,-1,210203,382774,449840,-1,948180,241386,743110,-1,224657,27790,989377,-1,-1,-1,-1,958429,-1,-1,293620,-1,380653,-1,-1,-1,35264,757771,-1,-1,-1,-1,213601,379391,-1,959297,-1,-1,-1,815221,-1,-1,952507,-1,187393,3645,625348,120078,132221,-1,83445,777457,-1,392938,238606,866948,-1,162888,273187,-1,-1,59066,211145,-1,-1,-1,-1,158535,358110,253864,-1,276639,-1,320258,-1,231949,106855,-1,64807,-1,963612,-1,909149,-1,-1,-1,810859,-1,-1,-1,-1,-1,-1,-1,326010,527586,520646,818078,179881,-1,803969,306079,155247,-1,-1,-1,641313,-1,-1,-1,-1,617512,-1,-1,-1,-1,715371,-1,265305,-1,-1,158668,-1,179492,-1,-1,245031,949104,175962,634353,-1,75500,240714,-1,495907,-1,625203,250936,733166,985562,-1,90383,-1,-1,-1,341805,-1,-1,-1,124904,-1,151018,-1,294134,847795,-1,436449,-1,-1,110052,-1,-1,662268,243563,-1,-1,315071,-1,-1,613039,482209,511342,3561,-1,-1,-1,-1,-1,458186,-1,887659,-1,-1,-1,396859,165380,-1,-1,476758,-1,143125,287954,-1,-1,327498,345446,-1,-1,30851,-1,-1,909796,745601,214734,-1,788792,-1,708440,145775,-1,474472,-1,-1,545580,37542,-1,745847,-1,-1,-1,-1,-1,-1,719743,681138,-1,-1,908831,-1,146374,-1,-1,646229,-1,-1,55632,-1,181301,-1,-1,-1,-1,227682,353333,-1,-1,723029,-1,-1,-1,832611,-1,863720,-1,-1,228542,-1,560122,-1,-1,680421,549705,-1,975186,-1,9169,306852,488872,-1,-1,745425,-1,302250,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,279041,131839,71095,-1,-1,25479,579439,-1,-1,448262,375131,823117,183673,-1,976951,-1,-1,524214,96296,-1,316045,810243,159559,-1,-1,-1,835437,-1,734066,-1,-1,-1,-1,47272,659306,198439,-1,513135,-1,356344,613623,221067,999628,258708,163383,39327,102386,868216,-1,69357,-1,541876,-1,222472,211771,467142,-1,595713,-1,-1,1515,-1,158777,-1,-1,111086,-1,-1,123958,-1,328726,26382,-1,736848,-1,-1,-1,-1,613542,-1,701866,843414,921430,-1,341598,983445,606355,862357,480457,561177,-1,649788,518791,657542,246995,-1,-1,857501,722539,-1,-1,-1,536445,-1,184016,732760,565042,890184,173152,-1,-1,678391,-1,940921,-1,722903,-1,196550,-1,134412,-1,160786,-1,-1,-1,817182,912572,583438,383689,-1,302847,-1,-1,529033,220374,985579,-1,-1,288718,930739,47796,-1,-1,-1,184282,455185,467891,-1,-1,-1,845484,-1,-1,-1,-1,606370,491999,13447,175858,993130,-1,-1,-1,123761,-1,-1,59694,803721,-1,-1,675995,-1,-1,649039,806621,693871,90371,142066,889189,-1,-1,-1,-1,-1,-1,164879,597409,-1,-1,61940,240712,-1,916243,-1,-1,-1,-1,-1,-1,208057,952294,583096,-1,-1,768691,-1,935334,-1,-1,-1,495271,307461,554843,871360,272933,728942,575526,-1,75667,686811,698815,782867,16947,-1,880546,-1,-1,-1,324354,683296,-1,790594,725394,574638,-1,873748,363179,-1,-1,311600,702288,-1,-1,947474,-1,-1,180846,898651,-1,344738,-1,382819,311113,-1,-1,748412,-1,534416,-1,-1,-1,579611,966684,-1,928670,-1,-1,544303,836623,-1,809767,434062,-1,-1,753411,-1,-1,-1,-1,-1,-1,315605,20684,-1,769835,-1,819364,146621,38390,-1,48965,72518,925462,586464,268614,-1,958596,-1,123630,-1,717672,195262,-1,786248,-1,749742,-1,845923,-1,91599,71767,383523,-1,-1,-1,-1,-1,860082,-1,-1,8591,-1,529717,-1,-1,-1,147261,357163,130968,-1,177964,-1,-1,479298,-1,-1,780267,-1,137579,-1,-1,670905,633976,846989,-1,-1,-1,749418,-1,-1,795165,-1,-1,489319,-1,-1,-1,-1,-1,932920,98469,-1,-1,651016,649622,783037,376048,974355,-1,960483,977052,531833,330870,126001,499871,-1,-1,-1,-1,-1,209924,-1,634152,386569,755051,263709,-1,-1,572537,-1,709141,19962,817588,-1,-1,574138,-1,-1,-1,-1,686051,509925,70335,-1,-1,-1,728978,-1,218782,-1,-1,697443,-1,-1,217313,640228,-1,722199,329924,948241,-1,-1,-1,164821,629340,-1,-1,-1,-1,-1,654561,454773,-1,274769,369087,-1,-1,-1,-1,-1,-1,187761,304175,-1,-1,-1,997351,28369,980906,-1,-1,-1,508807,-1,838327,-1,-1,665035,451593,-1,-1,-1,402109,351573,-1,857833,-1,-1,-1,326231,306994,-1,-1,-1,-1,-1,458199,-1,701767,519050,-1,27373,-1,-1,769244,763117,-1,-1,-1,624337,201075,-1,735747,-1,177783,691974,690207,-1,130748,914445,-1,904266,-1,-1,583624,250229,-1,-1,68860,-1,906529,292852,925057,-1,-1,-1,-1,-1,882740,53978,-1,874015,243284,228644,491810,771368,282198,-1,-1,579758,-1,543645,-1,105546,-1,-1,325492,-1,-1,-1,-1,524954,431645,348650,-1,677748,-1,470299,-1,120290,262586,-1,853178,-1,-1,-1,926717,15706,-1,-1,-1,718743,-1,982032,916921,510869,-1,396351,372589,-1,544499,11318,630699,341585,54380,168868,-1,820359,-1,-1,507474,243503,634234,688645,334044,-1,844504,-1,665812,531564,364676,-1,-1,60926,230799,-1,306108,827802,-1,-1,-1,284603,-1,231311,-1,-1,571567,645312,340066,308282,-1,-1,-1,459301,752277,-1,-1,665239,917761,-1,213478,-1,-1,43737,-1,285504,390446,233110,-1,795252,953198,772097,-1,-1,-1,-1,89154,526003,563733,262877,954983,-1,59734,-1,397341,-1,922920,-1,-1,392346,-1,-1,347174,97522,-1,-1,-1,193670,897116,483315,-1,234553,682458,773681,-1,922261,629233,-1,-1,-1,386287,858257,113010,119399,-1,354063,137289,332483,868954,764006,209074,-1,211070,-1,521140,740249,-1,-1,-1,241816,-1,-1,664687,35241,726462,-1,-1,505626,-1,-1,975051,327597,-1,568741,475176,-1,-1,522501,-1,-1,-1,-1,-1,-1,-1,29788,-1,-1,-1,781447,-1,747587,-1,-1,922517,-1,956111,428576,-1,99995,-1,-1,-1,-1,220367,-1,-1,641838,758069,-1,-1,469113,196135,274853,-1,151368,978809,-1,-1,-1,75232,-1,137000,97594,559707,-1,-1,-1,191260,-1,913934,766076,454328,750842,-1,623375,-1,-1,-1,612133,-1,260467,377677,857262,398740,-1,-1,284304,912256,892974,-1,-1,-1,905992,-1,449172,-1,294906,322938,-1,-1,-1,-1,753022,315907,-1,203238,-1,48502,482664,-1,-1,-1,16332,-1,128975,403634,-1,666284,623463,561744,146760,-1,-1,13724,-1,388966,-1,510960,962286,660156,808608,-1,-1,-1,833259,114222,62605,-1,490987,-1,-1,181630,814989,-1,-1,-1,651224,-1,-1,817840,580806,956696,102478,297530,873330,-1,-1,-1,848429,802653,-1,932606,821087,450084,-1,346291,618126,16522,655896,-1,-1,-1,287060,-1,823565,407296,-1,-1,418346,-1,-1,-1,876031,454895,790095,-1,-1,833610,903478,139108,-1,-1,-1,685202,-1,-1,411138,-1,270196,799381,859388,325769,71546,-1,-1,541599,-1,222881,201758,86145,-1,923560,-1,993214,-1,342651,-1,255881,700422,-1,690810,-1,-1,73832,719432,-1,717625,-1,731352,-1,615574,-1,-1,-1,25062,525271,-1,-1,-1,-1,-1,-1,-1,-1,423487,381744,-1,-1,-1,-1,-1,913329,-1,433431,259117,271680,860318,329868,156357,-1,-1,585698,142117,-1,-1,-1,-1,749626,-1,-1,799801,817033,-1,-1,-1,955811,410357,-1,-1,-1,805276,985185,-1,-1,-1,182130,292758,-1,974682,-1,206320,215263,856326,247447,998596,-1,728395,675354,-1,143275,172623,280967,51348,818911,835047,50024,-1,-1,948920,782984,-1,-1,375345,-1,987358,334503,19087,-1,-1,352397,-1,-1,230171,-1,-1,977204,530402,-1,-1,662440,-1,-1,614073,565738,300905,-1,156086,-1,-1,-1,250881,-1,766592,466369,-1,-1,-1,248977,269429,423287,-1,964226,327707,360235,-1,-1,-1,-1,-1,80488,-1,-1,-1,-1,-1,662230,696814,-1,488882,-1,392194,-1,507549,529862,-1,914019,484827,-1,-1,570027,-1,-1,105806,-1,-1,970601,101120,839680,-1,-1,-1,262916,-1,441991,915118,759655,-1,250473,852343,455828,-1,-1,-1,471839,624282,-1,465527,-1,240832,-1,754309,-1,239497,784551,474483,957473,791532,614460,-1,511000,-1,-1,-1,947538,369991,745338,479905,321025,665191,-1,350165,714538,113722,-1,-1,296422,969733,-1,-1,657156,569138,-1,17378,-1,354628,982310,-1,-1,266961,603023,704164,375259,-1,859985,665696,542616,-1,333095,802376,-1,-1,-1,-1,839421,109964,223649,-1,907590,-1,-1,-1,143968,-1,-1,-1,-1,286123,-1,393027,952189,-1,125867,-1,-1,223061,692575,226132,241037,894686,-1,426225,-1,88120,-1,857329,30480,-1,218985,371487,-1,-1,-1,-1,999455,-1,105642,981609,-1,-1,-1,47289,-1,-1,-1,789368,-1,-1,-1,-1,-1,-1,-1,561525,710848,209210,590551,-1,221686,-1,346353,450854,223539,-1,95264,-1,173551,928003,302576,-1,-1,-1,-1,199786,762169,-1,553870,-1,-1,-1,-1,793651,346087,242860,-1,-1,-1,-1,943165,-1,590252,157614,-1,453648,885031,-1,-1,-1,285650,-1,-1,-1,-1,312296,882713,755287,733107,-1,400850,818095,-1,116804,956209,-1,-1,569063,-1,-1,307319,288934,471914,-1,-1,962274,345407,-1,864042,309317,-1,392188,540018,572140,-1,-1,571081,960636,-1,233517,-1,-1,820701,547094,-1,-1,814502,-1,980331,-1,-1,-1,-1,387200,890762,-1,709747,-1,391344,608497,-1,971585,252948,-1,191677,590705,-1,-1,29049,-1,-1,428748,281945,64724,-1,-1,-1,448534,-1,-1,248214,-1,-1,-1,822782,-1,-1,871387,311798,650116,286203,-1,-1,431533,595063,-1,-1,-1,-1,334321,289477,-1,376344,-1,-1,941224,-1,-1,-1,167557,-1,-1,-1,676492,872979,731449,-1,-1,792537,458076,176484,675318,-1,741051,-1,-1,-1,565516,902463,-1,994220,-1,-1,-1,-1,125250,820352,359505,-1,-1,134451,257570,977678,65984,697473,-1,-1,-1,184032,-1,-1,194669,194277,681840,146978,-1,-1,-1,-1,848591,-1,-1,961940,2592,-1,265540,886141,-1,-1,405490,-1,673378,-1,442040,995826,16643,737409,962229,-1,-1,612307,-1,798552,933845,249300,-1,163835,-1,-1,53174,-1,419242,786680,666063,330170,832461,657178,102673,974306,391827,-1,963367,836395,838313,81992,-1,-1,-1,976271,-1,-1,557972,-1,-1,-1,258508,-1,-1,-1,-1,335957,797942,717271,441311,977708,284354,-1,-1,320684,598471,572191,-1,-1,690004,342038,-1,866329,491303,-1,-1,-1,-1,-1,-1,-1,-1,946960,-1,-1,817678,-1,655153,-1,211904,-1,-1,-1,569339,145173,-1,-1,899331,-1,-1,397210,411129,180047,-1,-1,443723,279799,-1,325190,-1,-1,625966,976004,11971,237594,-1,520461,874782,297116,530558,-1,-1,-1,-1,-1,-1,754147,372681,-1,837046,-1,240926,879740,-1,159930,-1,-1,-1,-1,-1,-1,-1,143123,158505,658738,832563,286441,527136,-1,394761,-1,-1,775843,762763,-1,298131,-1,40763,-1,453245,949513,211857,-1,751971,-1,242434,18835,-1,266282,-1,491490,-1,401505,566353,964570,551212,788557,-1,-1,-1,-1,367484,17927,-1,567353,611223,108284,-1,-1,266171,-1,316497,-1,-1,129807,108270,-1,830308,508690,-1,395883,48689,39425,-1,-1,59685,-1,340535,856546,821592,-1,-1,-1,195587,112417,-1,-1,-1,-1,-1,-1,157301,-1,880997,286399,926298,-1,159216,-1,-1,724316,321721,19395,-1,827362,-1,786364,-1,690247,-1,-1,-1,-1,-1,-1,-1,-1,-1,759080,-1,-1,-1,506417,551028,52273,206181,915648,-1,-1,-1,824956,-1,-1,-1,555052,-1,-1,-1,947237,958839,998573,-1,-1,303053,-1,581073,262703,-1,-1,754473,-1,-1,-1,-1,487218,-1,341246,384164,-1,-1,483713,606372,-1,639629,-1,228245,-1,780887,602878,86163,602075,-1,-1,-1,84095,130752,962241,-1,351361,810757,-1,-1,82484,-1,465351,208862,-1,-1,-1,-1,6770,-1,-1,391834,-1,671680,316452,-1,117739,-1,-1,801819,204944,-1,-1,-1,-1,-1,-1,-1,825820,-1,710164,188068,863684,356034,-1,-1,-1,977645,192752,726615,726849,-1,-1,294505,-1,355140,306260,-1,58113,511555,-1,-1,-1,-1,-1,527176,-1,-1,-1,-1,664739,-1,-1,730947,-1,-1,650242,866689,-1,-1,-1,-1,-1,-1,932928,541685,926463,922027,-1,647231,30541,-1,79995,-1,655062,46805,-1,144129,-1,-1,-1,779995,-1,-1,659433,264409,928920,-1,227392,796687,193177,297249,-1,-1,-1,943600,-1,-1,-1,-1,-1,-1,-1,-1,-1,859400,-1,-1,-1,-1,87884,-1,242798,-1,-1,-1,-1,-1,331388,-1,-1,-1,-1,-1,928619,-1,-1,-1,-1,507601,257025,-1,-1,874749,-1,-1,-1,262134,-1,157068,88854,84676,201475,-1,-1,-1,-1,563246,-1,46829,-1,256001,-1,-1,-1,-1,801782,417896,421212,478887,-1,366335,-1,130497,872295,-1,-1,-1,-1,-1,957890,-1,-1,-1,-1,256059,925152,678758,-1,605172,412289,-1,-1,-1,629936,-1,-1,-1,-1,-1,969384,-1,-1,629857,906881,-1,-1,522357,440313,706577,-1,173215,888969,-1,17835,606545,459463,884904,295869,-1,853084,-1,290635,-1,-1,-1,-1,299552,942920,-1,854710,128436,-1,190469,-1,-1,59255,474980,207465,993427,559389,-1,780058,303881,216066,-1,-1,-1,-1,-1,624641,823699,-1,877973,398861,-1,365094,614315,706309,-1,-1,889579,608616,415216,-1,-1,-1,383772,938512,-1,-1,-1,446768,196469,483647,-1,-1,-1,286487,165803,-1,569530,261518,-1,843758,-1,929911,-1,-1,-1,215058,-1,-1,-1,56579,175563,-1,-1,-1,231423,363849,-1,71506,578754,788375,755996,-1,-1,976662,693912,-1,-1,286817,-1,498732,-1,-1,496453,-1,666297,948661,522567,-1,968383,-1,334239,662624,41288,34389,-1,781219,863086,-1,-1,78650,661915,-1,578221,-1,-1,337072,658522,123637,501365,-1,-1,-1,-1,567196,233809,-1,133168,963288,33885,-1,772026,175305,-1,130506,563402,812175,569785,-1,993854,490741,82134,118304,523404,-1,928850,-1,-1,-1,-1,978429,-1,78260,696687,-1,-1,-1,-1,151920,768410,-1,-1,554415,-1,391717,-1,-1,525059,660750,520749,523781,703327,370070,-1,760718,97213,-1,821732,848217,-1,53414,709434,-1,-1,313483,996611,622887,275999,430983,-1,334372,-1,-1,-1,-1,-1,269477,-1,256096,-1,-1,-1,722870,139126,181482,-1,-1,47437,49994,-1,-1,-1,619093,-1,-1,842962,756642,919043,19086,-1,351677,-1,19018,826322,207793,934591,640721,295278,977826,-1,-1,-1,969950,120803,-1,-1,360025,132118,-1,-1,445123,715093,-1,533117,-1,627103,732331,-1,-1,-1,960715,991185,127299,570603,561602,783235,-1,788692,-1,47232,-1,-1,-1,890397,322212,560277,232099,-1,339880,840935,-1,-1,583727,-1,472993,885181,-1,774425,705658,750024,628331,-1,273640,-1,-1,989718,-1,-1,-1,-1,87256,64838,-1,-1,-1,463722,441482,270862,359552,-1,980695,947778,176240,-1,-1,-1,1660,-1,-1,347472,173792,-1,-1,291309,-1,-1,-1,863763,488785,-1,588642,-1,727852,-1,-1,882649,-1,643061,191424,349924,625461,-1,-1,-1,-1,-1,-1,254839,682303,184237,-1,941221,-1,-1,-1,-1,89834,140670,-1,452670,319364,409991,-1,488957,-1,13774,291773,-1,-1,134959,-1,-1,-1,481589,-1,-1,475942,-1,780598,560568,326103,-1,187627,-1,-1,-1,-1,-1,-1,387185,-1,645075,-1,860896,635912,109294,777464,718878,-1,-1,-1,-1,-1,-1,618928,-1,-1,-1,863296,-1,-1,28230,-1,-1,310983,-1,306245,-1,235038,430344,35798,82813,-1,707050,118824,516833,-1,956887,177709,-1,-1,996428,-1,327188,34883,-1,130685,576076,-1,439621,-1,-1,115640,750473,-1,-1,-1,-1,-1,-1,890591,-1,-1,825353,108159,959019,-1,-1,705045,78361,422431,-1,962928,695804,-1,69696,859534,-1,321099,98608,562600,-1,537173,121750,130139,-1,-1,-1,922575,-1,736960,651336,726560,856861,444876,-1,-1,204618,145576,454154,925029,-1,-1,437183,517424,231059,-1,142418,-1,947961,848649,-1,727594,-1,116767,856711,573127,-1,-1,525120,-1,-1,-1,-1,738444,-1,25881,756830,413308,-1,378926,-1,98807,584420,149092,-1,222022,-1,-1,-1,621666,-1,485702,151473,-1,471115,-1,-1,963291,30762,-1,191302,-1,-1,622810,658709,-1,-1,-1,-1,-1,-1,884207,-1,473584,684788,-1,352705,-1,-1,-1,-1,-1,-1,-1,955859,-1,956599,371983,-1,-1,-1,-1,392287,683220,-1,158649,-1,-1,-1,25847,709007,-1,-1,-1,-1,-1,990693,806397,-1,-1,419106,188524,468805,190864,-1,584174,-1,-1,100585,-1,-1,-1,-1,261925,-1,63336,843058,-1,842140,116045,339694,-1,735638,161125,187373,624266,627094,842345,233294,477437,8331,829390,-1,-1,-1,557540,-1,25760,889024,-1,-1,650727,500062,850117,-1,-1,422884,202125,237304,837149,10860,197028,-1,806053,281208,605114,915143,-1,11201,950948,-1,-1,114580,-1,-1,-1,-1,576945,178257,-1,-1,321218,265868,-1,-1,-1,939806,-1,-1,-1,102376,-1,909002,-1,639765,-1,582734,-1,-1,700947,-1,545602,-1,-1,-1,-1,903332,808115,716527,404663,624455,-1,249171,-1,-1,529640,-1,737245,-1,766403,242831,476910,955408,54257,-1,-1,600452,155338,-1,272269,-1,-1,927750,519994,-1,-1,451080,-1,-1,-1,452180,-1,797279,838264,569683,-1,-1,-1,-1,-1,613749,-1,-1,-1,373444,702522,744575,118564,144596,61829,-1,-1,119454,757143,466147,256188,-1,959685,-1,503983,198359,-1,962555,-1,-1,-1,914092,301693,625414,583370,-1,-1,568770,964665,666059,-1,807360,515414,519843,466401,-1,636686,-1,-1,300452,962333,-1,-1,423798,432194,-1,13590,510398,-1,603666,-1,-1,572610,-1,513353,282211,-1,565603,-1,-1,-1,326646,-1,-1,-1,390176,503468,-1,-1,-1,207899,-1,-1,-1,-1,-1,-1,493807,91102,789812,335004,-1,814203,77908,282802,-1,-1,291308,-1,-1,-1,319141,-1,893473,477080,971489,-1,-1,892232,-1,-1,-1,-1,355555,-1,798636,-1,-1,-1,-1,-1,-1,47546,-1,-1,-1,190661,651125,436989,-1,-1,-1,503685,329951,-1,509297,589361,710329,32625,-1,-1,369753,998969,-1,-1,-1,-1,555118,120223,-1,297203,244227,104321,234777,838108,480388,-1,-1,794667,627972,-1,-1,-1,-1,-1,956055,825584,-1,-1,600991,39996,197158,-1,801835,225069,964534,424753,243728,269851,-1,84771,-1,705013,-1,-1,-1,95072,598936,771897,26034,184752,586814,-1,35278,631865,-1,-1,-1,-1,-1,-1,190272,-1,204761,725581,-1,-1,-1,-1,603348,-1,845555,-1,-1,-1,595125,194877,639085,-1,-1,730072,-1,-1,-1,-1,606936,-1,-1,479279,-1,-1,-1,-1,-1,-1,112871,-1,-1,-1,585195,486699,-1,214706,771552,690447,-1,-1,573081,722248,-1,-1,470072,-1,163081,50768,-1,940359,708073,534908,-1,-1,-1,751700,-1,721326,-1,79257,-1,113661,-1,270025,568455,-1,-1,791358,375922,957910,202839,455218,-1,706733,208216,-1,-1,-1,765359,-1,-1,-1,-1,-1,-1,-1,511960,431208,-1,-1,644917,-1,-1,-1,407141,-1,967742,-1,593770,-1,642419,664574,308891,-1,-1,-1,830167,780700,930306,552059,-1,532385,40334,11632,-1,-1,-1,386977,-1,205071,-1,-1,859088,987925,20292,159651,365842,-1,928228,-1,274841,470759,-1,753180,74973,758035,-1,-1,757738,-1,-1,-1,746478,177688,878872,944618,-1,365476,-1,-1,128701,-1,186850,803430,591305,-1,382558,-1,38027,321341,506665,-1,-1,-1,-1,-1,661942,-1,265531,-1,856982,-1,-1,974303,513245,-1,403705,763281,438216,-1,-1,-1,396846,-1,-1,-1,494176,-1,28632,-1,286603,-1,-1,-1,-1,-1,747590,-1,74638,996549,16033,-1,-1,-1,-1,-1,146442,276122,181648,826573,765143,556910,-1,426309,129105,-1,602906,738720,-1,85113,-1,29484,-1,272438,-1,-1,-1,-1,36920,270960,-1,735946,-1,-1,-1,-1,276512,474412,756877,-1,-1,-1,921150,-1,-1,-1,370254,-1,-1,371416,72631,557535,-1,-1,385549,-1,541664,-1,-1,-1,999784,286974,-1,-1,338905,903176,201574,518454,-1,962217,-1,368032,-1,-1,-1,763789,-1,688492,824061,-1,-1,-1,-1,644532,-1,843275,251495,86856,-1,258039,-1,601390,-1,-1,-1,-1,-1,154072,-1,-1,991510,457535,-1,728683,-1,-1,554543,-1,-1,-1,956090,451810,-1,-1,993554,998489,241921,59887,-1,46302,35433,47962,677862,449153,-1,115944,-1,342659,-1,31139,982507,-1,-1,-1,-1,-1,379687,-1,-1,61650,996669,80327,366209,-1,565063,-1,902062,-1,-1,-1,664133,791503,-1,653598,355053,192662,-1,-1,942846,212227,-1,-1,-1,778358,918036,-1,263061,-1,-1,-1,-1,89968,382728,717355,118531,181340,758104,-1,799155,501567,-1,-1,956557,-1,298198,-1,-1,618757,-1,355064,767740,225555,-1,-1,474954,996023,345223,686002,-1,-1,-1,600547,522918,-1,-1,-1,965275,-1,160321,-1,-1,594443,447635,807916,338475,66058,732021,161009,385690,318155,-1,-1,954549,-1,696501,-1,438147,-1,-1,343498,100761,-1,121243,-1,834703,505305,606600,331486,-1,977459,659632,735926,327959,-1,-1,887852,800149,-1,172764,562536,981911,-1,-1,-1,748007,473324,722687,954307,-1,-1,-1,25342,777210,-1,-1,-1,124029,326855,236905,327771,78280,501745,164182,-1,34686,827464,560120,-1,-1,891538,-1,-1,335400,949001,-1,605552,-1,555898,148472,971117,-1,108217,-1,558073,471958,-1,-1,250201,-1,854095,983668,194321,-1,-1,-1,300692,956151,-1,799976,488013,740375,-1,715619,939348,955040,489661,-1,250834,496779,-1,517451,-1,836341,-1,629195,-1,-1,-1,334703,878705,147448,816879,-1,946838,265965,691002,-1,103991,-1,-1,140391,-1,-1,-1,433185,868140,411339,312407,-1,-1,587186,-1,-1,876359,-1,-1,183216,-1,90540,-1,782920,-1,624545,669676,660567,-1,96203,628671,613011,480968,220743,-1,-1,-1,-1,-1,-1,532271,-1,334476,-1,-1,815299,-1,-1,295756,605612,-1,-1,-1,170190,-1,-1,-1,-1,731642,-1,750062,-1,-1,-1,898080,406783,687842,498736,-1,-1,-1,-1,238829,-1,881748,984414,-1,518425,994147,918893,-1,648967,-1,370348,224841,216719,-1,945600,789093,817592,891717,801910,851921,560194,766993,955727,833636,-1,-1,698669,860614,-1,-1,-1,581064,868755,640646,-1,-1,635998,-1,138483,756313,258735,351728,-1,136943,-1,-1,596478,110696,-1,-1,676487,-1,205748,-1,-1,238965,836257,971488,255933,103586,-1,683713,397976,210775,-1,-1,-1,-1,-1,530818,648907,-1,-1,-1,-1,-1,721516,743230,956983,82889,146833,-1,506761,-1,675125,305669,-1,-1,-1,-1,952414,-1,577996,-1,613991,-1,-1,622131,487409,-1,187280,-1,404615,293970,-1,531236,-1,82276,236154,-1,844679,-1,-1,782391,-1,79150,625088,640458,-1,390258,-1,935392,-1,931908,306054,577847,-1,-1,-1,722250,-1,131602,708545,127548,700518,261567,-1,-1,-1,-1,305604,-1,992470,424000,144728,-1,161297,623436,335561,-1,-1,375528,-1,-1,-1,-1,521067,831433,-1,-1,256899,710562,162973,464050,904977,-1,-1,891691,-1,465694,-1,198881,555546,-1,249374,512461,-1,-1,791814,165065,514728,-1,-1,123710,522831,576696,436321,-1,-1,804438,22480,-1,-1,761397,-1,309534,598144,-1,-1,56452,-1,-1,-1,193236,839598,-1,-1,960022,423306,-1,-1,-1,889553,10286,-1,-1,-1,603922,-1,-1,538619,879800,-1,-1,70930,983773,114437,331033,-1,104739,959758,-1,-1,-1,487925,-1,998846,-1,-1,362295,738936,554636,544616,211290,74886,931170,-1,192328,512121,174960,483412,-1,-1,-1,-1,-1,520439,-1,-1,754774,742864,650840,552306,922065,592355,-1,-1,-1,-1,-1,-1,-1,16973,53856,-1,-1,-1,-1,-1,279127,-1,363382,492849,-1,587152,974338,-1,-1,-1,41498,-1,-1,-1,-1,-1,-1,598468,647604,-1,-1,-1,104921,-1,471434,231725,750061,311410,-1,-1,-1,908581,-1,824273,984062,169436,987214,-1,-1,-1,702085,97145,-1,-1,322561,601611,400154,237373,160091,-1,178966,437138,162165,971520,-1,-1,-1,-1,-1,87196,-1,419189,835540,-1,-1,-1,624364,117049,349998,937286,-1,700820,502284,-1,-1,929377,-1,537354,560068,-1,-1,824276,-1,-1,123517,-1,-1,-1,-1,321116,-1,356829,-1,445125,228980,-1,96809,-1,-1,101026,-1,523439,-1,-1,-1,-1,-1,615613,-1,43696,686032,814364,-1,-1,970163,-1,-1,-1,-1,-1,-1,-1,102980,-1,184608,-1,568806,-1,-1,297970,714799,-1,420515,-1,45312,221966,380420,854567,-1,825957,-1,220257,-1,-1,389734,847116,740061,179502,121957,-1,-1,-1,702296,-1,482886,-1,-1,446069,568871,-1,929952,-1,979556,56378,-1,801560,878903,-1,-1,-1,590894,-1,-1,416560,-1,-1,-1,-1,-1,930819,-1,404065,930220,23709,941268,-1,-1,-1,-1,327984,-1,885887,661692,-1,940138,-1,987096,217427,603567,71099,-1,471635,-1,-1,-1,659113,-1,38934,703426,14526,-1,869626,-1,-1,-1,-1,-1,454490,-1,-1,-1,-1,159059,-1,-1,324090,470797,746589,541714,-1,117574,652962,-1,265900,21999,967371,-1,325320,786467,-1,367948,337344,876731,-1,990643,-1,472009,-1,-1,629480,-1,-1,222272,718420,318508,-1,967130,-1,-1,720915,509043,-1,-1,817462,113718,-1,18865,227663,819927,281149,-1,-1,12884,740336,802397,-1,-1,642117,340987,-1,-1,110890,-1,-1,-1,872402,545978,612193,-1,-1,-1,915035,491444,-1,-1,-1,509990,-1,-1,-1,-1,-1,-1,484815,-1,-1,-1,158235,-1,539118,-1,299341,269598,881851,-1,-1,-1,-1,720593,485749,968516,437806,-1,356345,-1,953689,-1,836054,754584,-1,904246,902746,112350,474860,320462,-1,427801,909257,-1,231198,15193,999385,211957,673863,87571,744916,-1,503238,-1,995807,-1,-1,942284,-1,-1,-1,501424,-1,390120,474999,-1,-1,502819,-1,931796,-1,-1,357068,825099,484,508315,-1,-1,-1,-1,-1,-1,-1,981608,-1,882039,798434,811111,861636,643664,525349,170627,366244,111814,-1,-1,-1,907527,-1,-1,694363,-1,-1,-1,-1,-1,-1,343720,-1,470275,135718,342674,-1,613863,-1,-1,-1,-1,231454,-1,288342,275453,603623,-1,-1,-1,-1,-1,-1,-1,630370,504828,487696,-1,-1,-1,650286,452457,-1,-1,668655,-1,811588,437419,-1,191984,-1,-1,661345,-1,-1,348985,752880,34161,30697,-1,595807,592761,-1,663969,-1,-1,517617,782957,110478,-1,-1,314052,-1,-1,993385,-1,-1,-1,856518,-1,631230,329067,755618,-1,-1,-1,113069,-1,-1,805558,603238,-1,-1,-1,-1,-1,120483,515286,483822,-1,127560,724184,-1,28285,558899,261075,436874,-1,823633,603123,-1,32322,-1,275590,597974,-1,-1,646454,-1,534887,-1,392018,700133,-1,985779,500150,753419,636743,878802,469450,-1,380272,-1,865651,222502,-1,-1,-1,-1,901513,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,85790,438825,-1,-1,310806,-1,-1,91254,666220,320366,-1,-1,910939,377854,86518,668587,729243,-1,-1,-1,616312,-1,-1,-1,785332,638424,-1,-1,384943,489310,-1,63928,864538,73209,-1,596687,740261,-1,-1,-1,-1,119002,905917,409020,879036,-1,205598,172944,329621,839139,673115,488842,620698,-1,-1,-1,13546,-1,-1,-1,-1,-1,63274,-1,-1,-1,-1,-1,494758,821703,-1,-1,-1,-1,-1,997625,-1,-1,409941,566426,-1,-1,-1,838652,655585,-1,14757,-1,-1,614000,-1,-1,341304,399305,330093,-1,-1,720560,-1,660702,649305,-1,-1,704790,-1,601970,652347,-1,665193,245662,-1,743901,-1,-1,-1,754709,-1,362788,582558,446594,-1,580685,-1,175569,-1,-1,617581,-1,-1,828363,789967,173014,-1,37051,108090,-1,-1,-1,970586,5284,-1,188345,-1,-1,-1,474966,749282,22000,286032,110651,-1,742226,148624,-1,-1,243725,591454,987326,-1,-1,570116,453498,-1,-1,-1,496978,554136,-1,-1,813428,93455,-1,493814,-1,120287,-1,-1,148117,813983,540465,96748,-1,-1,791099,381693,-1,-1,462775,-1,330803,-1,857671,-1,-1,881074,190317,215208,-1,44543,116303,49722,-1,721316,921582,215795,-1,-1,-1,970051,-1,-1,-1,-1,-1,-1,626549,-1,-1,-1,408469,509404,-1,457003,-1,356036,-1,683977,-1,-1,-1,867751,-1,116680,436061,793841,949489,-1,-1,592218,-1,1920,-1,-1,-1,-1,-1,994501,588355,909884,-1,-1,803600,921222,153875,-1,139940,887970,832451,-1,833244,-1,834515,346074,-1,852084,-1,723068,-1,891751,591333,-1,25985,-1,-1,-1,36664,-1,678916,174739,-1,-1,829084,158343,513786,-1,114439,982423,-1,445742,-1,267052,-1,5179,784340,-1,-1,-1,-1,345681,304106,-1,-1,134423,285034,-1,777498,310515,78427,828546,-1,-1,907941,697666,-1,-1,-1,-1,-1,358958,894843,933384,-1,370056,674417,-1,-1,-1,-1,-1,130625,-1,97827,258777,649787,420051,127730,-1,787720,-1,-1,-1,-1,52743,-1,-1,189844,-1,719472,-1,-1,272877,-1,511720,-1,-1,385633,479473,-1,-1,-1,-1,-1,277884,-1,846810,-1,589904,348805,-1,552108,545661,682910,659196,-1,-1,-1,-1,-1,958396,76763,-1,195763,-1,-1,-1,-1,730994,460214,-1,110415,453972,430628,204768,351838,-1,430023,-1,-1,-1,-1,500818,-1,-1,499175,-1,237676,453952,587135,-1,-1,-1,77676,325404,65035,-1,-1,520702,46833,-1,522179,182372,-1,-1,-1,-1,301971,132432,806441,-1,188565,-1,492972,836103,-1,110805,-1,-1,-1,18292,-1,274918,-1,-1,30808,327922,857352,841790,469072,461014,864302,510206,205151,-1,-1,-1,797581,-1,677874,-1,120295,-1,-1,47285,-1,738408,-1,428513,375840,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,510866,-1,625249,738866,398376,933827,-1,290684,-1,306000,-1,-1,-1,-1,695835,500991,447676,-1,-1,446226,-1,150167,-1,624042,227341,229981,591298,-1,5502,933178,381476,-1,696731,126172,385291,-1,488464,-1,-1,-1,-1,682325,669862,-1,328790,67023,125152,984238,594991,939636,893261,671542,-1,-1,-1,-1,-1,558372,821156,-1,324851,706648,547555,-1,683263,853801,-1,955070,199204,712326,-1,131607,247183,-1,185949,-1,-1,-1,390220,-1,-1,654874,302703,-1,-1,501392,-1,-1,361741,573743,973252,-1,-1,-1,-1,722121,-1,-1,50704,-1,-1,682499,-1,977827,566778,964792,967123,151387,991031,-1,-1,-1,847165,-1,-1,321571,251724,-1,638005,320134,314590,-1,-1,-1,-1,77859,919194,745291,842281,573106,-1,-1,115450,584510,-1,366364,112791,578924,-1,-1,831117,-1,-1,-1,-1,-1,-1,-1,298207,-1,68288,-1,489572,174448,388472,469838,-1,-1,275341,992503,591517,242356,510630,-1,920974,271105,881536,315956,-1,630380,-1,553425,-1,225684,186730,-1,186169,634961,-1,-1,201227,-1,-1,425741,735777,-1,-1,-1,166341,-1,-1,613079,227262,333645,-1,-1,-1,331491,-1,-1,284208,-1,422167,-1,932413,-1,259651,917242,-1,-1,-1,-1,654543,-1,600407,-1,-1,-1,-1,-1,-1,-1,-1,30588,143626,511245,-1,-1,-1,77134,822962,-1,-1,-1,419070,104144,-1,829089,-1,-1,453434,-1,-1,-1,-1,-1,-1,152672,946277,58779,-1,948877,526353,-1,-1,420594,394544,443675,539600,996844,-1,546202,18571,-1,86046,-1,274834,333810,647157,871223,-1,70562,-1,-1,-1,830015,-1,-1,932691,-1,-1,808154,-1,515055,223852,-1,-1,356856,964472,842847,-1,-1,-1,-1,-1,-1,-1,922265,701420,-1,-1,977226,-1,-1,869204,-1,-1,319709,-1,-1,-1,61315,-1,225104,-1,-1,974982,-1,-1,-1,-1,377966,-1,788387,-1,-1,-1,-1,689051,477920,-1,237667,-1,-1,78858,689461,-1,388231,986661,440504,750898,-1,853790,-1,873556,53724,-1,749771,36483,-1,-1,-1,608030,3978,-1,-1,786763,-1,500129,-1,746331,260543,534855,-1,901722,941708,-1,-1,577484,494936,-1,-1,364721,-1,369436,842477,-1,207220,-1,-1,-1,-1,-1,814593,-1,-1,-1,-1,-1,21726,-1,-1,835696,20732,426063,-1,-1,-1,-1,604512,627097,-1,-1,472858,532382,-1,-1,-1,-1,38999,-1,-1,-1,613972,-1,-1,880440,-1,644851,836811,-1,-1,160509,245360,-1,-1,-1,407169,-1,-1,-1,-1,639776,368968,420290,-1,-1,-1,39272,-1,-1,-1,496782,896838,21477,880587,482270,-1,-1,-1,754323,-1,-1,907299,730973,-1,634239,-1,-1,-1,-1,-1,739964,402320,976630,395470,791972,-1,71368,-1,487091,520481,375043,259840,701448,100914,15436,-1,-1,353694,-1,-1,323569,-1,-1,-1,884291,-1,745174,496086,-1,217582,-1,-1,897928,-1,457443,861021,-1,-1,477593,-1,566225,28286,970257,-1,29469,-1,867227,512226,905097,459058,789059,-1,945189,-1,-1,642008,703986,-1,-1,-1,506241,-1,366114,51640,-1,-1,-1,-1,746173,-1,427624,-1,517864,151847,-1,973942,619899,-1,-1,137519,261338,864827,826564,272682,-1,715810,-1,-1,799921,818414,-1,-1,757875,92862,918900,21586,435267,531688,584742,723010,810759,-1,-1,-1,85257,902654,145674,-1,272708,-1,-1,690619,176400,-1,-1,469122,911702,219993,-1,901176,-1,-1,-1,677517,510911,587176,-1,-1,-1,443926,-1,-1,-1,887606,283701,469560,-1,885290,167068,-1,-1,-1,704194,-1,-1,497340,-1,34430,-1,741806,-1,-1,-1,716115,68960,-1,-1,-1,-1,330815,-1,791311,230150,-1,561304,-1,592507,-1,-1,760393,-1,-1,-1,489567,-1,112444,583997,232345,-1,681276,104501,749107,-1,-1,-1,374845,-1,-1,38083,-1,465389,-1,76358,-1,-1,268893,438510,-1,-1,-1,900689,158703,-1,-1,-1,-1,194065,718339,-1,-1,-1,-1,178817,271859,831168,-1,41668,513936,498238,-1,622556,-1,736030,-1,-1,-1,31124,-1,574223,-1,768294,-1,-1,-1,104873,-1,-1,-1,670041,-1,-1,727191,615624,158741,-1,-1,665445,36496,788456,255513,-1,83555,-1,862719,-1,246882,-1,-1,-1,201828,-1,-1,-1,345238,-1,299840,-1,554189,-1,-1,-1,35465,-1,273657,602961,411571,741058,356639,-1,702976,-1,226863,-1,835685,592317,-1,-1,914446,957379,-1,-1,180696,-1,696881,-1,176189,-1,-1,230810,-1,879162,-1,149086,41181,-1,-1,579443,808325,-1,-1,626047,-1,-1,675652,-1,-1,-1,323047,586530,-1,556964,-1,-1,-1,-1,-1,-1,-1,-1,24741,457342,116105,-1,-1,315008,-1,628701,837553,969577,668962,126569,236638,424828,-1,559276,-1,298304,159417,672901,387437,919526,276359,34591,-1,-1,404533,-1,-1,563434,535458,-1,-1,-1,857575,-1,667702,408510,369809,33779,-1,-1,960312,492382,453470,853904,894169,129898,-1,-1,-1,-1,512394,572223,-1,798307,59058,-1,-1,-1,137103,-1,-1,867069,-1,-1,-1,330830,-1,118294,-1,868900,58091,-1,546628,519448,-1,538560,-1,255343,-1,-1,665987,196644,387876,-1,-1,535354,212587,-1,659790,410919,878821,-1,946353,-1,593826,-1,-1,-1,-1,-1,173800,-1,-1,728080,-1,-1,22248,-1,538904,-1,-1,-1,-1,-1,596517,-1,-1,623306,442490,876906,658372,166868,370538,-1,43165,939822,-1,-1,213162,536748,-1,-1,456697,342314,-1,-1,-1,-1,285294,-1,-1,-1,-1,167082,678250,-1,-1,901150,-1,-1,-1,-1,510053,-1,-1,-1,523055,-1,-1,928542,622228,993359,-1,-1,-1,-1,-1,606063,544602,-1,-1,-1,327005,-1,-1,628016,-1,737296,-1,-1,-1,189759,289454,997689,362497,708653,858750,-1,439437,645275,406325,-1,123970,-1,66018,-1,-1,-1,-1,178228,-1,-1,-1,406286,722039,145124,-1,539048,-1,570581,773288,97778,467333,-1,256256,664442,960841,-1,337074,-1,525997,-1,351408,827801,-1,-1,882438,-1,-1,69056,186675,-1,427615,-1,783112,-1,71382,111123,48254,340868,8243,-1,794611,-1,-1,-1,-1,-1,-1,597685,-1,-1,-1,-1,556323,-1,574934,478805,666074,565303,711440,-1,48001,265722,170001,-1,93615,696065,759617,-1,149575,900736,394531,964761,-1,-1,403527,460497,-1,735622,213039,105223,609673,785103,-1,-1,161427,-1,598772,-1,553573,492225,-1,-1,510888,-1,-1,-1,264366,175776,223043,-1,-1,863672,-1,-1,379911,693425,-1,-1,987290,-1,8382,984015,279313,560671,462017,719549,-1,-1,-1,65593,-1,-1,354855,-1,208414,148608,-1,-1,-1,-1,738522,-1,-1,-1,-1,-1,-1,468058,366742,-1,17896,-1,-1,204989,214641,248738,124554,-1,30257,635678,806799,-1,-1,-1,-1,-1,120310,-1,91889,55627,-1,693150,614033,462609,-1,406283,-1,134557,-1,789890,38535,30660,157006,-1,925903,58518,-1,357722,-1,714973,257785,-1,-1,613335,-1,640589,-1,-1,-1,-1,-1,212089,-1,167464,-1,-1,-1,674561,989693,-1,-1,319435,286620,406678,645264,404196,-1,245800,280891,-1,279172,-1,-1,-1,-1,-1,-1,-1,750334,-1,-1,972632,998944,735795,699750,594661,-1,375625,-1,-1,-1,293739,687697,-1,720550,307873,291962,792449,363927,-1,-1,-1,-1,-1,178679,-1,300699,-1,677487,-1,-1,693759,-1,423274,984970,649726,-1,-1,-1,867758,830200,999788,10051,402434,195905,-1,-1,-1,-1,-1,-1,-1,-1,931482,956880,-1,897783,-1,163309,898036,-1,-1,980702,-1,-1,-1,358140,-1,819371,-1,954454,651241,-1,67311,-1,304207,574238,80514,755926,38314,749682,802288,682084,-1,27789,-1,-1,916600,-1,-1,870469,-1,644562,486688,127924,70932,44249,232146,254783,-1,-1,716919,779498,936498,-1,-1,807706,-1,437176,519484,390803,-1,-1,244278,24680,568478,-1,-1,341085,163047,-1,-1,813385,-1,-1,-1,677380,-1,536388,-1,495563,-1,721358,-1,187785,46084,647399,-1,227699,-1,-1,-1,-1,-1,-1,561499,-1,827699,-1,-1,717166,666441,-1,427151,568594,895197,948702,704556,615767,-1,53023,771341,-1,-1,669476,645131,19805,543911,243729,671388,-1,-1,242087,-1,-1,-1,-1,-1,-1,17248,445775,535553,994755,568170,-1,553956,-1,903353,281917,721568,35629,204128,-1,-1,190347,508700,-1,-1,-1,-1,-1,78804,769909,-1,654475,233434,-1,-1,418650,674901,-1,894485,731721,42551,-1,-1,-1,33962,107986,-1,447267,-1,47752,-1,-1,-1,-1,553012,-1,527190,266463,575434,-1,19616,345247,-1,-1,454293,-1,274068,254806,-1,-1,-1,741087,125700,-1,-1,-1,708687,-1,704440,-1,620087,516219,662146,-1,-1,-1,-1,954276,364531,959052,388069,159973,-1,402255,551808,-1,-1,376862,566654,-1,816159,-1,694364,-1,288531,107746,303038,-1,-1,883185,-1,572139,-1,762337,-1,-1,-1,-1,27197,-1,-1,-1,-1,841397,-1,623504,31121,-1,755061,914220,-1,833112,216165,335670,-1,171242,444571,552,-1,-1,-1,560842,997353,-1,-1,-1,30695,229397,947783,701201,-1,849840,-1,412360,-1,724388,-1,850139,-1,586787,288664,-1,-1,523741,127808,660564,525403,-1,-1,-1,646859,-1,-1,-1,-1,685025,845634,772513,104390,-1,-1,958912,534174,332934,-1,-1,-1,-1,-1,639259,865787,266894,-1,386871,-1,19439,403180,82089,-1,260632,-1,-1,330542,644439,714685,-1,728787,768284,547625,959279,-1,-1,-1,412863,475580,945647,-1,989328,411836,323726,570605,72950,804070,154011,-1,512474,-1,932912,640081,-1,-1,-1,-1,29359,458277,-1,916915,-1,-1,-1,336101,141089,-1,-1,-1,595047,137060,-1,608841,706482,821382,-1,-1,-1,-1,556886,176946,-1,763996,530549,717861,700742,253839,-1,-1,-1,-1,-1,642963,-1,392889,-1,110764,-1,-1,34128,-1,309982,-1,538967,-1,441168,-1,-1,-1,475360,723364,438079,-1,-1,605422,-1,-1,276118,148769,-1,-1,-1,347656,-1,280313,819032,-1,-1,785104,-1,-1,669600,-1,771184,632364,477426,927085,-1,735219,-1,-1,389680,704390,165285,431101,263046,-1,248304,842867,339595,260791,-1,662770,-1,-1,236727,-1,561635,-1,-1,-1,497735,-1,707193,494642,-1,187517,-1,495925,-1,-1,578385,96130,-1,72420,-1,559125,-1,-1,440273,134822,-1,-1,526487,-1,-1,802296,71830,616906,-1,603542,-1,395033,-1,-1,-1,646645,386948,73882,-1,775113,129576,-1,-1,924664,-1,-1,-1,-1,-1,488632,-1,941376,908887,255710,956201,377739,-1,148706,-1,-1,875050,281472,381402,712355,615269,-1,-1,168373,447693,842449,-1,900751,305568,868495,-1,308298,-1,672169,558623,657844,436227,957772,-1,-1,244735,-1,792445,-1,401884,-1,-1,191895,-1,381463,583949,882490,-1,-1,-1,605737,-1,-1,-1,-1,639617,470107,485377,865183,-1,89630,659025,528281,-1,-1,472686,914059,177460,-1,-1,419528,-1,-1,-1,876355,626313,412070,-1,831308,-1,969509,968355,494780,738798,922020,-1,-1,531110,-1,-1,693214,-1,213630,-1,197977,530067,20768,-1,-1,-1,933963,-1,-1,-1,-1,-1,-1,338914,45148,293935,-1,56433,-1,-1,-1,-1,-1,-1,806180,179208,85261,-1,-1,574603,-1,374173,662723,299445,-1,-1,-1,867759,392903,-1,-1,665373,762547,310420,-1,525863,-1,643439,-1,-1,-1,933705,-1,253009,480386,-1,-1,-1,-1,-1,895470,-1,84636,-1,616585,-1,-1,-1,15451,-1,584561,397360,-1,-1,-1,-1,-1,-1,984483,-1,-1,617233,236528,-1,-1,-1,590363,-1,-1,413774,465802,-1,-1,-1,-1,-1,556843,169421,-1,-1,-1,702964,141822,512010,-1,-1,-1,357052,229113,126652,969803,-1,163802,-1,894072,-1,-1,-1,-1,-1,-1,848967,-1,-1,-1,706625,726696,-1,724218,954288,-1,-1,-1,345599,-1,-1,-1,670561,-1,91605,-1,-1,-1,-1,-1,-1,-1,-1,161552,391278,-1,986286,367396,628527,88587,5196,-1,-1,991797,-1,484291,488651,744130,-1,-1,451102,648387,-1,180387,-1,-1,-1,-1,-1,806376,719908,481499,-1,-1,920887,-1,-1,248088,606650,-1,-1,-1,6110,567590,876843,306555,421967,486612,687135,905021,488618,881427,-1,766491,-1,553719,-1,807774,468800,892499,958610,769393,36160,-1,-1,-1,-1,518210,397405,-1,-1,66743,126500,-1,-1,-1,731357,-1,902793,658088,467086,404440,-1,-1,859084,976322,-1,-1,-1,-1,-1,522959,-1,-1,-1,-1,-1,702270,860983,276522,145923,963767,-1,-1,-1,826005,560594,-1,600661,532955,982451,-1,-1,-1,-1,341773,870284,943379,-1,-1,800296,-1,-1,699747,-1,-1,-1,528089,-1,-1,-1,-1,714850,448907,387898,689167,-1,847920,-1,-1,640385,229250,300257,404750,967925,770045,187801,965028,-1,-1,954290,-1,-1,-1,-1,-1,-1,576106,301922,894611,-1,127437,581510,-1,672285,581735,221128,-1,983752,-1,-1,-1,285030,-1,90753,750538,-1,991422,60455,-1,364313,-1,414556,598847,723464,46880,162977,18422,699743,81694,-1,-1,906295,-1,-1,-1,-1,-1,129260,-1,-1,-1,497338,538762,-1,-1,-1,-1,217290,-1,206847,-1,82968,-1,830139,101033,-1,307332,705907,32505,374605,40968,-1,594667,501799,511340,-1,-1,406314,-1,-1,404329,748228,-1,906163,664001,-1,-1,-1,591318,-1,-1,896385,872024,225950,-1,436031,-1,-1,55826,725158,-1,-1,737175,-1,-1,-1,192403,-1,-1,-1,510714,-1,917341,-1,-1,923906,-1,-1,-1,-1,335774,147337,-1,155943,247689,-1,875751,-1,583496,486521,451219,463842,414290,-1,-1,-1,-1,-1,275319,-1,525544,603492,-1,-1,-1,316613,-1,432745,-1,-1,158694,-1,-1,-1,882300,-1,-1,885363,-1,-1,515632,-1,-1,-1,-1,-1,399880,140611,799422,82569,682580,43739,352290,252536,980712,974781,-1,6285,-1,-1,-1,-1,132793,-1,728110,-1,429889,-1,223694,-1,-1,669443,844060,-1,794723,775699,-1,830781,-1,-1,28716,-1,986615,654065,172891,903512,-1,-1,-1,-1,759336,-1,829411,581739,35805,400886,897365,747968,679685,708911,676566,-1,708155,315868,-1,-1,-1,-1,-1,742331,-1,-1,357596,981008,-1,-1,-1,-1,-1,17686,-1,211280,748003,-1,-1,125282,-1,-1,-1,612635,-1,-1,-1,-1,-1,319868,-1,448189,-1,223930,879623,524263,637461,-1,894605,85768,31063,-1,412463,-1,935598,618671,696486,937512,-1,436454,-1,-1,-1,-1,-1,560431,347617,230883,-1,192538,582377,-1,604733,-1,850098,301230,-1,144249,-1,-1,-1,-1,117122,631573,500106,-1,-1,-1,175932,-1,-1,-1,96414,-1,769429,659289,-1,-1,-1,751936,300398,807120,-1,98489,20111,288114,-1,29901,697764,216553,-1,-1,-1,-1,-1,338949,954094,-1,-1,-1,-1,160731,-1,178342,-1,-1,512584,867440,-1,-1,-1,-1,-1,457512,907489,276920,516996,-1,-1,406612,-1,-1,789231,301606,-1,627751,759394,-1,400045,469165,401179,483530,540484,730338,150643,360582,-1,-1,466990,-1,598572,322128,-1,926301,12915,619357,112507,168894,-1,-1,187794,-1,-1,-1,636267,-1,627380,808861,-1,820643,-1,-1,584945,-1,152458,739043,298803,265593,-1,-1,546296,-1,-1,736606,-1,7984,-1,-1,-1,527117,761139,42230,612969,-1,276203,-1,674795,894714,-1,638631,-1,969092,233139,-1,673337,515440,276474,324307,303355,711267,-1,-1,-1,259489,536260,308986,-1,236236,-1,182180,-1,861668,530488,919596,-1,711820,-1,-1,5243,623903,-1,881636,394613,-1,-1,-1,567498,-1,-1,831628,-1,692447,819726,57758,-1,-1,727274,810258,642786,517239,-1,714414,916460,-1,107608,376938,-1,485969,-1,-1,-1,250260,393303,-1,-1,512124,766346,-1,435607,-1,872940,431781,-1,-1,-1,275666,531118,-1,-1,-1,992370,252579,-1,789344,139860,82347,-1,599300,986505,-1,-1,-1,-1,-1,525833,-1,445360,367388,-1,-1,813115,-1,-1,847018,251487,617854,-1,957390,138763,-1,-1,662486,260378,-1,-1,37813,636016,677979,213600,-1,-1,598201,-1,116031,790209,-1,555448,253128,153266,263542,-1,-1,-1,-1,-1,45023,6440,-1,136917,689043,-1,447819,-1,769511,-1,-1,986843,530145,428242,532002,934806,581167,-1,242884,944906,620892,938073,-1,-1,-1,-1,-1,-1,625444,-1,-1,398856,526146,-1,-1,-1,-1,-1,-1,-1,-1,65033,197356,-1,31504,608225,-1,327027,349099,402591,737459,590812,-1,-1,560626,-1,-1,453054,-1,-1,-1,-1,-1,779828,325740,233857,672764,-1,709587,733989,-1,-1,-1,-1,804945,11647,-1,483675,-1,-1,133407,495513,265737,970147,949018,954369,-1,159076,-1,464513,461974,-1,-1,-1,316515,-1,731267,290486,-1,-1,519088,-1,571910,231659,669167,-1,912239,294627,24894,965968,-1,996649,-1,488499,-1,388272,853168,-1,-1,613092,388913,868089,552112,303436,-1,674105,248066,-1,200689,348014,354210,-1,156535,697043,-1,-1,456511,184993,854611,-1,-1,301008,-1,-1,710724,-1,-1,-1,948383,625399,720568,-1,-1,-1,722602,-1,937309,410367,-1,127613,143859,-1,261863,290018,185406,558027,-1,-1,904610,-1,-1,627839,-1,254858,-1,-1,156153,-1,-1,-1,469453,-1,-1,-1,-1,-1,542792,-1,206185,-1,-1,-1,588838,-1,239589,708405,-1,-1,-1,-1,-1,-1,167179,-1,537485,-1,-1,861158,-1,-1,-1,173928,-1,-1,-1,-1,-1,478778,-1,-1,586419,-1,-1,-1,-1,989845,971546,-1,624031,108772,-1,762031,527579,-1,377327,750561,392109,-1,235705,298377,-1,637166,651425,-1,475007,935541,-1,285698,-1,327567,663660,-1,522641,342191,400834,525073,381327,739544,-1,694116,760675,276786,82077,739264,924992,630061,-1,-1,69938,402517,-1,-1,165900,-1,127463,-1,-1,-1,-1,-1,-1,-1,34213,65157,143836,-1,-1,305685,79630,-1,91675,154903,-1,332046,544394,-1,676400,-1,-1,938547,-1,646947,981391,997297,-1,614164,731996,962684,25621,877666,452355,-1,-1,-1,98186,-1,793837,20688,367006,-1,262898,17270,-1,-1,-1,193000,-1,835298,-1,-1,-1,447901,-1,685121,-1,-1,854541,-1,-1,624839,-1,44338,-1,-1,-1,-1,-1,-1,449062,494436,-1,319889,-1,72539,-1,-1,-1,-1,27364,427446,170713,513721,-1,-1,-1,738044,-1,846267,-1,104105,-1,-1,-1,-1,-1,-1,-1,-1,-1,897548,-1,-1,-1,268783,453190,559732,234180,-1,-1,-1,-1,-1,-1,-1,736515,891332,586761,133877,-1,677958,960669,790031,-1,629078,-1,-1,-1,514586,-1,-1,-1,829929,46736,-1,-1,-1,408787,725321,301468,-1,90261,-1,-1,-1,-1,599632,773484,282325,969760,939000,975325,795767,148030,278281,-1,725858,844938,-1,409831,-1,221391,-1,473469,148037,-1,817212,551076,-1,-1,31303,-1,-1,-1,827338,681233,886726,-1,914455,503638,-1,-1,-1,-1,-1,915449,452201,655970,-1,-1,-1,994070,-1,-1,326034,-1,733802,-1,-1,428109,693517,905908,750152,-1,210103,-1,387871,625132,-1,-1,624232,-1,-1,488804,816516,470971,229901,-1,-1,-1,-1,508786,692881,-1,685965,-1,326324,698864,-1,-1,-1,-1,-1,577076,118932,527854,-1,659298,161084,298003,20853,367606,688185,796205,-1,-1,787141,-1,743618,-1,-1,209879,201170,-1,-1,721884,253069,-1,977157,-1,-1,44669,-1,-1,-1,-1,102375,259741,870359,813966,-1,-1,869251,-1,-1,576997,230819,5335,-1,-1,-1,-1,-1,41481,-1,771449,149789,880286,-1,30283,355510,394196,255794,-1,-1,170134,-1,-1,237335,46633,-1,11529,991428,-1,-1,-1,-1,-1,-1,-1,304169,-1,165793,80932,-1,277231,299659,847192,-1,-1,505250,765709,215203,-1,66049,373426,-1,330668,914617,-1,731973,213547,161781,656793,83603,601803,-1,-1,223875,320917,253536,342141,548010,280406,855949,917472,112037,-1,180252,170565,-1,-1,176970,-1,-1,-1,936595,-1,728500,216984,519986,-1,142312,273371,-1,127788,801349,-1,176369,666838,193230,-1,160071,782024,966953,-1,-1,811710,-1,663209,-1,528131,71207,-1,922145,-1,-1,399523,666369,24254,-1,885784,-1,-1,978028,595186,269849,-1,-1,-1,135848,-1,-1,-1,-1,-1,905948,-1,-1,-1,396999,-1,-1,624457,-1,-1,118252,744102,176124,562857,-1,633712,920432,-1,759615,-1,947658,-1,-1,668921,-1,-1,707137,-1,-1,849131,14141,-1,418134,703723,-1,908076,945136,-1,-1,291383,-1,-1,-1,140895,-1,-1,-1,-1,991895,847572,-1,-1,-1,70528,-1,-1,-1,-1,536334,-1,-1,-1,-1,436608,904858,43981,-1,-1,-1,130709,288169,-1,437143,519514,986864,-1,-1,951161,75460,992103,702968,-1,75759,967841,-1,-1,-1,208198,-1,982093,-1,669911,711207,275356,-1,611946,-1,202102,203572,-1,974666,612372,723293,-1,382284,-1,-1,768997,367885,-1,-1,858151,852499,-1,-1,320269,-1,-1,428339,536382,-1,-1,-1,1114,762623,-1,-1,127248,-1,-1,-1,621936,-1,-1,746670,142254,-1,-1,515382,59144,-1,957810,-1,951178,-1,720875,996419,-1,-1,-1,96450,691226,-1,-1,763119,-1,-1,-1,255696,867909,764877,215044,975752,352570,-1,-1,786251,-1,443313,-1,378174,-1,16114,537568,595045,-1,964988,402341,870512,-1,-1,44557,512298,430320,-1,-1,429318,183601,475018,716191,-1,573069,314654,804825,-1,446236,-1,623382,83318,-1,-1,-1,68945,62951,-1,231068,-1,536844,738417,315356,-1,775842,543014,-1,822044,727366,-1,423252,-1,-1,222050,-1,-1,-1,969593,-1,54620,515786,46533,-1,776909,-1,-1,-1,986571,-1,683625,6194,687380,-1,465482,637359,672733,676049,294393,909070,73845,-1,-1,-1,459348,382058,785232,-1,-1,838750,460852,548953,25726,-1,750660,134169,912322,459724,-1,847137,489482,-1,162812,-1,446403,-1,142476,-1,-1,683316,488136,-1,921776,-1,622077,422109,-1,619739,-1,-1,883397,-1,209373,-1,-1,404846,-1,938131,-1,-1,-1,-1,848816,-1,-1,-1,-1,256419,88983,-1,-1,-1,-1,953061,909874,-1,890686,-1,85692,222626,764374,-1,158503,-1,690284,-1,-1,-1,-1,-1,557718,-1,-1,-1,75578,-1,730010,-1,-1,834719,-1,-1,-1,145980,214689,183416,115704,-1,968943,-1,-1,125166,-1,398273,280678,837687,-1,-1,348891,-1,231038,-1,754574,360954,327556,222396,-1,28123,-1,-1,403959,-1,-1,-1,24528,-1,792016,-1,377468,335161,-1,967857,233887,-1,334207,730981,-1,488629,-1,541225,469961,-1,48740,-1,56532,82597,-1,961478,983815,-1,326755,-1,256116,546397,-1,677818,-1,880251,734059,-1,-1,-1,736134,-1,-1,-1,-1,405297,580756,294447,-1,-1,-1,209960,-1,127268,861017,-1,477063,-1,208116,-1,-1,-1,-1,185590,39999,-1,-1,-1,326648,96704,488210,269654,-1,-1,367943,-1,-1,-1,-1,-1,-1,571057,-1,-1,-1,197585,-1,-1,-1,833641,-1,712216,-1,-1,246737,-1,794087,-1,-1,-1,626624,-1,-1,831697,-1,661456,-1,-1,-1,-1,380807,-1,958451,687127,-1,-1,-1,-1,-1,-1,582600,-1,-1,932495,-1,56363,271518,-1,-1,-1,-1,-1,965406,710435,445503,539893,-1,86244,-1,922095,-1,-1,926079,573398,-1,-1,439604,-1,942037,-1,813096,379651,816554,64203,-1,616109,132566,-1,859129,-1,48171,410444,-1,-1,796587,-1,-1,-1,-1,15815,737738,-1,344256,-1,731070,-1,461393,-1,144877,354782,639067,403154,-1,109741,-1,692078,-1,232302,503938,198555,-1,77062,-1,537541,-1,-1,-1,-1,-1,159596,846648,-1,232172,870944,148003,-1,78923,328289,304860,-1,601702,786429,-1,339194,-1,-1,-1,783992,470876,490091,249822,-1,-1,419871,-1,676470,-1,-1,-1,-1,770452,418541,888725,658535,550604,-1,-1,-1,-1,279787,364261,-1,-1,-1,-1,28533,-1,45058,737349,416721,744502,-1,-1,632181,106061,409048,-1,-1,-1,-1,206364,-1,210753,776873,-1,-1,-1,652338,-1,533878,371500,833751,285575,197598,747594,458732,371524,990489,386589,821299,714826,-1,213548,344513,-1,-1,151913,-1,-1,331386,-1,160120,687435,159082,849536,-1,-1,913443,-1,559686,976481,-1,-1,-1,-1,-1,331621,-1,-1,500910,293605,156393,-1,31949,-1,-1,632150,959983,-1,862062,-1,286805,-1,-1,838387,9814,-1,325603,-1,-1,553305,554980,420244,724192,37961,-1,-1,56610,38977,-1,-1,921880,965133,-1,-1,466386,-1,960692,992023,595059,-1,816676,425651,367812,-1,103598,483478,-1,445913,-1,640630,649757,-1,-1,152449,978171,-1,327827,-1,-1,-1,-1,506735,-1,-1,-1,45564,-1,-1,14707,-1,-1,673837,792578,-1,-1,-1,-1,852597,-1,-1,-1,65588,-1,-1,-1,-1,-1,-1,27722,870451,794489,-1,200976,182228,66360,570415,-1,-1,734512,103731,-1,152468,-1,355836,-1,-1,-1,-1,103860,-1,-1,-1,-1,-1,-1,85057,-1,-1,424067,-1,-1,-1,546747,653677,-1,930411,-1,-1,956135,185930,-1,-1,-1,157429,-1,-1,-1,-1,827596,-1,-1,293497,711684,368002,5405,604413,-1,965384,607595,431672,-1,-1,-1,934305,428247,-1,-1,506872,157205,189896,-1,-1,903112,13446,860020,-1,429329,-1,611571,-1,-1,-1,883687,161201,-1,419018,-1,-1,866503,-1,246859,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,572886,316270,-1,490880,-1,-1,-1,-1,-1,-1,615905,-1,135889,-1,-1,759234,278827,736507,-1,217192,-1,-1,182801,-1,234726,124440,32448,-1,-1,-1,-1,802710,624900,-1,-1,-1,927943,547051,-1,903128,-1,-1,941169,450982,88562,-1,-1,678725,408712,397492,-1,114563,-1,-1,823121,-1,-1,-1,-1,230860,-1,-1,-1,474094,796064,288712,-1,-1,-1,-1,-1,499829,-1,433012,315479,604150,951661,-1,-1,387488,147846,-1,-1,864080,-1,-1,-1,114241,696590,-1,-1,986856,-1,627619,157215,-1,370175,694138,698756,150711,-1,-1,596000,-1,397289,-1,173492,-1,-1,-1,-1,470928,-1,514755,990689,511980,-1,835146,195019,921234,-1,722005,-1,529712,954740,817999,-1,-1,877991,365308,988137,-1,917133,-1,39640,-1,14246,-1,957722,624185,241168,822663,-1,-1,-1,-1,-1,537416,648991,727499,-1,258886,-1,370543,-1,-1,863538,-1,91553,432629,-1,154091,618832,848323,816454,-1,-1,-1,-1,961414,472110,768944,620999,-1,841986,-1,-1,-1,-1,-1,-1,233630,-1,920829,803093,913333,236645,-1,888322,-1,-1,869817,47674,101534,707615,-1,830491,-1,22217,386854,-1,565255,-1,-1,-1,220359,404479,-1,-1,333394,594115,827721,514408,620202,-1,944292,-1,-1,-1,-1,-1,528381,-1,-1,-1,671409,-1,41114,127324,142219,649518,-1,912723,-1,351731,607851,272107,-1,-1,-1,-1,-1,-1,-1,144187,724828,223708,823180,-1,694055,677664,116566,292594,266314,691032,612470,844276,455298,-1,-1,616328,513465,713,-1,-1,187100,-1,-1,-1,451804,656047,-1,632577,421137,-1,597559,251006,-1,507308,719261,-1,-1,-1,-1,-1,551877,423203,-1,912254,-1,913074,599886,-1,-1,468769,137376,240992,356891,19936,6438,688214,-1,214343,109210,-1,-1,-1,879726,-1,617056,-1,324214,-1,715989,-1,362937,-1,976397,-1,-1,509924,377247,-1,315090,808941,330070,972710,288895,-1,116584,-1,724279,382169,174326,745155,-1,489197,518878,-1,-1,671104,-1,342853,676481,-1,790383,-1,-1,-1,119873,557184,549964,-1,-1,748383,-1,-1,664833,400930,701088,840488,959704,-1,-1,441677,648330,-1,-1,668161,63861,-1,620266,326720,-1,343078,78799,628252,510274,958719,303927,-1,-1,810837,235369,-1,173267,452443,959940,952426,-1,184022,836110,311427,322631,448154,289577,-1,459455,-1,943211,387261,649727,-1,-1,-1,25550,238526,-1,208974,-1,-1,-1,369081,-1,-1,-1,67203,927408,228992,69772,-1,709236,-1,807891,513726,734974,-1,448920,-1,780670,823874,-1,910067,811687,-1,-1,-1,-1,-1,720463,84660,734572,171042,629534,496437,-1,994320,265584,240448,585550,104743,911877,258991,-1,68630,-1,-1,-1,-1,617595,-1,-1,-1,-1,960322,177759,165467,-1,986836,103446,-1,900546,175300,-1,922749,-1,322322,-1,-1,-1,477158,-1,-1,-1,226947,-1,-1,-1,571283,978398,892894,368934,690804,-1,942147,475394,-1,388605,-1,-1,903126,-1,-1,273278,963656,450747,442784,-1,718204,587718,452084,484633,395076,766988,-1,894735,-1,-1,860658,-1,861171,32079,-1,-1,-1,-1,336624,870358,819778,-1,-1,-1,265824,929398,977715,-1,-1,982271,941810,723011,334885,938623,793538,12613,-1,248923,747919,830907,112831,-1,580687,-1,763995,-1,856435,718319,645172,-1,-1,831315,428742,229081,-1,69265,-1,-1,363499,-1,829229,-1,162818,501812,-1,-1,-1,-1,994974,606695,874155,567583,-1,-1,463871,-1,535589,-1,238733,-1,-1,-1,-1,-1,455141,824597,438666,-1,326130,974656,811038,-1,-1,-1,-1,461336,-1,279779,-1,401300,15353,313420,897594,-1,849781,547130,-1,-1,746745,-1,650093,897521,-1,810738,-1,-1,47604,569223,277194,-1,932830,730769,-1,805195,641321,-1,619422,-1,-1,567363,-1,-1,-1,184992,-1,126171,-1,956770,-1,653369,-1,672491,-1,-1,-1,-1,673669,-1,729152,365045,-1,314870,-1,-1,326678,746688,770864,-1,-1,372979,-1,-1,-1,-1,7197,-1,-1,-1,-1,-1,-1,-1,519400,440764,-1,-1,-1,-1,147632,124550,-1,-1,943309,97230,-1,34682,844319,481225,-1,939365,-1,-1,-1,83179,170420,739861,-1,965800,175736,-1,737200,-1,-1,-1,-1,485398,606455,428824,-1,947808,606080,-1,-1,-1,-1,-1,682169,-1,-1,-1,840165,-1,-1,-1,-1,-1,32351,484052,751578,907522,-1,-1,-1,-1,424372,-1,992910,952467,-1,-1,-1,-1,-1,-1,-1,903171,75251,171015,10933,840091,46521,-1,-1,506350,572686,-1,244271,-1,-1,4865,255975,-1,112316,51081,-1,972540,524416,564669,-1,-1,326577,285280,-1,-1,779581,305884,-1,126232,529790,842900,-1,87078,-1,235822,559418,-1,-1,166518,362234,442778,124482,167091,282556,-1,407890,14132,223820,649943,834295,578207,6170,795319,350813,-1,-1,-1,103149,-1,-1,614767,-1,30786,-1,704536,778612,660007,-1,313892,-1,-1,-1,-1,-1,854229,-1,-1,-1,-1,736770,47994,-1,-1,-1,-1,-1,-1,647796,-1,218551,566942,777774,-1,894752,-1,-1,-1,-1,890641,-1,330140,841473,713908,286921,232603,467390,-1,-1,883040,-1,667156,-1,888937,911661,-1,-1,-1,-1,349543,-1,-1,-1,-1,478095,995520,515089,619113,-1,907393,521534,-1,-1,339756,389539,-1,942280,-1,938025,-1,879520,-1,-1,-1,652054,-1,-1,-1,839601,166641,-1,-1,40908,309290,-1,-1,-1,-1,891735,888836,790642,282242,-1,602259,182891,332079,-1,895916,-1,780380,-1,901673,707073,239737,-1,-1,875072,-1,-1,-1,-1,133675,-1,-1,856639,244251,832746,-1,-1,-1,68311,-1,-1,862323,969612,-1,716566,681623,749885,779486,-1,548015,37900,308821,-1,555280,428012,463005,-1,-1,-1,-1,837862,901123,-1,-1,-1,-1,-1,-1,23005,839227,-1,-1,-1,322830,-1,-1,971204,-1,-1,971009,-1,-1,-1,-1,518249,-1,670850,-1,209137,978987,153904,427033,-1,318514,893258,-1,-1,500467,550957,243317,-1,47442,-1,668670,24520,247654,337920,992016,597887,-1,-1,480955,-1,-1,-1,702737,-1,-1,-1,636760,3748,-1,513470,-1,824270,794042,920858,-1,-1,279410,-1,-1,-1,-1,-1,633721,489684,-1,-1,314315,-1,544782,-1,-1,67582,629957,-1,-1,-1,697392,97027,337107,-1,-1,-1,-1,-1,-1,389015,382366,-1,-1,940620,423136,583602,-1,-1,-1,929797,332849,-1,219586,-1,574620,197038,-1,771204,-1,-1,629545,117086,-1,989485,-1,998830,-1,-1,-1,-1,-1,-1,-1,40258,-1,-1,-1,-1,457617,295149,-1,530979,115531,72271,828732,-1,75787,305160,346866,86014,-1,-1,346998,-1,-1,791321,474467,-1,-1,-1,-1,-1,-1,823906,-1,330765,387733,51470,-1,-1,423225,975240,472649,958433,90245,94398,903149,-1,22709,401611,-1,-1,908731,-1,-1,729914,872932,673429,-1,465879,-1,903370,-1,835327,-1,755244,-1,126975,113917,-1,-1,971577,-1,-1,505056,-1,762940,796194,973792,-1,695025,155955,-1,295484,319116,332666,-1,492344,120952,-1,-1,-1,930109,410930,178864,354559,-1,71637,-1,703823,-1,163636,-1,811169,470332,-1,-1,3214,842693,916631,-1,-1,383557,449362,797319,72807,-1,420765,-1,714198,149840,636904,-1,-1,-1,-1,-1,-1,-1,-1,-1,602863,848176,-1,109262,-1,-1,-1,68673,-1,-1,593238,-1,134982,279122,309410,276511,850756,750981,222035,-1,-1,-1,-1,344749,-1,-1,-1,-1,784759,-1,116954,-1,-1,-1,-1,-1,457766,919971,-1,-1,-1,-1,-1,962701,896958,-1,-1,-1,-1,349478,-1,-1,788269,-1,211594,-1,567700,460772,394604,283354,-1,456678,927179,590784,-1,408244,-1,503192,859256,794571,563727,541303,222464,-1,931444,458154,670986,16388,437746,190473,229036,223958,-1,907487,-1,-1,554798,468695,398309,121599,91767,796631,-1,795753,-1,588051,-1,170446,590290,713626,-1,432726,734356,898936,901526,-1,932438,-1,-1,414933,-1,836941,759769,536128,-1,-1,434077,508334,-1,-1,859962,821353,594218,263451,-1,-1,-1,950103,992205,-1,659169,6715,-1,919315,822314,-1,-1,797866,324124,206441,225172,-1,-1,579962,-1,-1,-1,-1,-1,-1,-1,-1,-1,716019,-1,-1,16435,151335,796216,-1,637824,-1,296720,315795,994576,612882,741921,216096,-1,-1,570945,540993,607720,-1,985190,-1,92064,-1,874422,512647,-1,273971,-1,258381,-1,254863,771052,150818,-1,-1,864276,22756,-1,962500,-1,-1,-1,883284,948427,-1,163549,246645,-1,-1,73413,-1,-1,-1,-1,903042,332380,42080,-1,-1,-1,806358,-1,277713,-1,385668,-1,-1,-1,663704,657526,140066,772443,363918,-1,542083,-1,-1,640571,-1,-1,-1,-1,518651,819107,324430,-1,-1,-1,-1,-1,-1,-1,756679,561201,407236,639982,-1,-1,-1,-1,-1,383155,176318,157656,-1,867630,501906,-1,228663,-1,369278,11976,742622,702366,556147,-1,883394,564469,-1,-1,-1,-1,624068,737689,562069,-1,897833,-1,-1,-1,593923,917844,856619,-1,-1,-1,161093,794268,-1,571462,891729,-1,-1,35441,-1,-1,117777,-1,419463,255484,-1,-1,998292,627975,381196,194284,-1,602798,283462,370608,-1,-1,-1,389088,-1,631894,133259,-1,-1,434878,639539,788262,247676,-1,110915,725398,454070,689359,26913,-1,634960,603158,879388,-1,335109,169440,-1,-1,-1,941304,-1,228818,365290,278576,-1,147302,-1,318858,-1,-1,-1,-1,200834,364787,247318,-1,142500,-1,-1,-1,174539,-1,-1,-1,182395,930867,874210,-1,695923,-1,-1,-1,-1,-1,999665,512886,256584,-1,-1,-1,733129,989953,-1,316537,724100,373344,803109,-1,-1,975546,811882,944482,-1,-1,684202,-1,4850,760195,-1,357995,88089,-1,439368,742737,888935,-1,464300,384176,-1,559497,-1,-1,-1,538931,-1,937686,-1,-1,-1,-1,64017,-1,-1,-1,82747,-1,177617,-1,-1,223285,285480,187933,99002,642617,-1,526549,768912,-1,582453,-1,-1,-1,163909,-1,-1,-1,569593,-1,834414,-1,168611,-1,-1,-1,326923,447702,-1,-1,-1,611345,175657,896824,-1,696481,-1,-1,-1,-1,753489,-1,379180,-1,-1,-1,653166,917537,-1,-1,-1,-1,-1,60505,-1,821115,-1,340681,42607,-1,36152,138190,-1,872160,-1,432779,-1,828790,663707,571555,88184,-1,-1,-1,-1,362302,-1,-1,261723,981100,-1,395121,103359,-1,-1,657885,553145,-1,23723,-1,-1,335444,339710,-1,-1,-1,731950,685390,-1,-1,32394,-1,-1,-1,836536,-1,99380,29817,298740,712229,-1,834000,-1,687019,690580,-1,524220,-1,520033,835265,-1,-1,-1,97526,-1,688778,-1,-1,355648,-1,-1,673061,-1,-1,-1,-1,-1,-1,781255,661554,833668,-1,465382,-1,953087,818073,-1,339931,427193,483820,-1,-1,-1,-1,-1,-1,611015,-1,280122,-1,-1,518888,-1,-1,-1,115414,-1,-1,153645,172118,376719,803502,166830,251886,-1,-1,986602,11754,-1,-1,-1,647795,-1,877679,16459,-1,186683,-1,-1,-1,-1,-1,-1,158312,878913,-1,604211,671084,-1,-1,666538,574596,725852,-1,605270,-1,-1,-1,-1,-1,934805,-1,-1,606925,522073,430902,-1,-1,62910,250509,341412,-1,380617,167813,947356,321568,619245,-1,-1,84285,-1,-1,-1,-1,992563,826350,-1,-1,302462,-1,-1,-1,-1,-1,784515,338974,576035,-1,-1,-1,-1,-1,-1,305057,452341,-1,-1,-1,250058,903037,-1,733435,763312,-1,799636,750409,-1,-1,235761,-1,628123,759361,-1,551013,-1,-1,-1,746948,-1,996675,-1,556728,882715,607268,-1,-1,69304,-1,107470,-1,-1,-1,-1,458721,250379,-1,99174,-1,438337,-1,-1,-1,38675,90980,88285,453297,99331,885446,-1,505485,601537,-1,-1,702652,702169,-1,205075,851809,-1,-1,-1,-1,319618,-1,-1,335816,881827,-1,503262,-1,-1,-1,241306,335700,-1,-1,578170,-1,-1,890581,748490,341694,625200,709893,-1,83878,-1,242816,-1,-1,390099,-1,183171,-1,291825,-1,-1,678156,922048,-1,-1,-1,-1,-1,400173,124246,-1,45108,-1,-1,711067,778907,254998,552584,542626,-1,-1,654513,504300,952799,178672,-1,956997,1533,-1,585249,368809,-1,-1,375629,-1,169006,805438,547818,705908,-1,-1,-1,987319,22117,-1,10354,-1,-1,-1,-1,198416,734777,82543,333827,546571,176635,667382,-1,-1,-1,616357,625012,15412,-1,1663,448592,964231,-1,802756,641070,-1,181131,-1,3658,-1,397738,-1,220226,-1,-1,282426,-1,-1,-1,129964,386315,970197,-1,-1,681337,884170,194443,921032,781453,708929,-1,571547,203196,265037,-1,443368,314997,892022,-1,-1,181398,787180,-1,161352,-1,-1,479632,15176,791346,793832,-1,-1,474016,-1,716385,-1,54308,665127,680584,914002,151504,-1,-1,291708,-1,-1,17439,-1,-1,282367,168420,212939,19652,-1,-1,408463,-1,-1,-1,899254,604873,-1,371182,60574,-1,-1,461331,-1,-1,858529,-1,-1,433800,-1,918110,-1,-1,699190,-1,-1,-1,-1,104339,-1,162416,443716,-1,802885,270169,-1,-1,129017,366768,67820,-1,-1,308287,331796,643021,763837,-1,743769,339405,-1,599409,-1,753082,790205,909867,-1,456596,-1,541870,42477,-1,-1,457901,708672,685895,384323,596140,48024,437893,621224,484299,199492,848192,960224,877269,386617,-1,-1,965102,-1,325028,-1,522122,-1,-1,-1,-1,963801,-1,609620,-1,300390,-1,754228,-1,863548,-1,808031,146517,-1,-1,651322,-1,-1,685257,438341,-1,-1,880222,-1,711128,9347,937014,-1,821772,112850,673094,565667,614422,628883,923286,-1,-1,-1,325261,678675,21624,-1,-1,-1,-1,-1,-1,-1,247902,674257,-1,-1,-1,932450,593229,-1,-1,316971,568906,-1,784988,673596,-1,-1,64835,-1,-1,312034,-1,45619,11954,819850,74681,296838,-1,693258,-1,773898,446923,-1,-1,-1,-1,138960,-1,-1,-1,259814,-1,-1,89230,-1,407344,235523,737359,-1,532995,281676,454870,-1,32022,-1,-1,-1,347733,369921,-1,730752,-1,133374,405215,-1,-1,-1,-1,862394,-1,-1,-1,-1,185814,325133,287431,-1,286423,37819,538129,-1,923646,15554,-1,-1,-1,218549,421118,-1,596378,59096,747207,966444,206769,41662,575353,-1,-1,-1,-1,-1,37563,736670,533623,69988,563511,171861,-1,-1,516013,-1,-1,589533,535154,668134,-1,-1,-1,549005,-1,-1,248868,17976,566165,433120,-1,426135,-1,267742,-1,-1,599329,290165,172444,734305,628,746805,-1,-1,987395,-1,-1,221730,-1,-1,-1,-1,-1,-1,-1,-1,-1,983345,-1,-1,-1,-1,-1,635114,-1,990380,725125,-1,-1,645990,270648,-1,468466,-1,872399,970156,171192,-1,-1,586069,-1,488459,-1,442,-1,-1,237959,-1,-1,-1,-1,-1,179320,-1,699213,526184,-1,-1,4450,111918,981657,-1,129250,713313,-1,-1,-1,-1,-1,32759,60946,-1,360429,442689,-1,-1,688344,-1,156928,-1,-1,-1,170376,-1,-1,-1,-1,542324,652025,-1,-1,-1,477220,-1,922390,646166,-1,136049,641999,659571,664792,-1,470910,-1,409925,752747,251996,343194,290904,-1,-1,-1,498058,764535,-1,-1,-1,-1,-1,-1,-1,502754,193777,223836,313242,182888,289278,125437,-1,91354,-1,-1,756305,-1,-1,741153,-1,-1,901580,-1,301247,-1,53405,-1,68076,-1,-1,910997,287079,225823,723026,-1,325934,-1,-1,957833,-1,-1,-1,609231,425749,22686,-1,-1,914793,35000,-1,290739,870728,-1,283758,-1,-1,-1,-1,807594,88025,259627,-1,147063,648869,-1,-1,495919,-1,738411,-1,657385,-1,-1,-1,-1,-1,586785,677692,757050,-1,254386,-1,-1,548022,544919,-1,-1,185458,713471,498471,-1,610122,-1,960243,-1,-1,990614,760544,20808,607240,-1,-1,-1,-1,894400,709773,-1,-1,178765,829270,120798,584168,708135,98712,762066,-1,827473,-1,-1,125523,-1,-1,762570,-1,507101,736044,-1,670031,-1,-1,256012,693130,126897,556796,-1,-1,-1,-1,410037,472726,82342,-1,593256,-1,-1,-1,702064,486817,142125,949187,814438,-1,-1,892622,15682,456111,176893,-1,812102,837260,513847,744578,552237,681359,887392,-1,530965,456328,-1,220923,461705,-1,104886,778739,-1,-1,-1,-1,-1,-1,384042,-1,-1,-1,423548,365457,-1,-1,-1,-1,-1,398425,774598,90255,376841,-1,85024,-1,685491,-1,-1,228825,-1,189364,74942,-1,-1,-1,294543,-1,271702,-1,254421,488084,908977,-1,259197,867858,641054,-1,759756,-1,-1,240836,-1,398830,203083,532017,948043,230391,-1,757087,-1,-1,-1,485095,-1,314075,-1,116224,651362,668314,-1,-1,280774,440024,271083,-1,-1,894176,-1,-1,480595,981980,-1,-1,-1,781765,-1,452332,-1,184899,847942,-1,695434,-1,374958,33799,-1,32308,-1,-1,505527,5789,130913,-1,-1,-1,594228,674943,-1,526256,559862,-1,-1,-1,-1,-1,-1,906373,598651,-1,-1,-1,-1,-1,747352,256920,955899,724512,-1,374378,-1,507237,617853,207006,773723,325311,514518,-1,-1,-1,771750,815070,-1,-1,933503,-1,191089,320841,772416,153809,825237,855509,-1,693207,458105,-1,-1,-1,340221,435011,976327,595422,331141,105373,303108,344549,-1,306168,-1,-1,-1,96544,-1,-1,-1,-1,657904,363166,977379,55115,-1,90883,533726,521243,603792,107294,310468,821011,-1,-1,-1,296845,382820,897636,409100,-1,-1,-1,754887,58858,-1,-1,-1,-1,-1,555278,353682,-1,35821,743917,595129,794275,922511,577007,-1,518963,992072,-1,-1,-1,314738,-1,-1,-1,-1,-1,839078,942033,372047,492506,196809,123072,-1,-1,-1,692967,-1,-1,-1,-1,819982,116390,573527,-1,-1,-1,936150,478409,-1,580914,888612,-1,-1,-1,831110,-1,-1,88812,551121,868001,317736,756001,-1,440624,762092,-1,-1,-1,-1,-1,906468,-1,-1,-1,-1,-1,951431,47694,710095,-1,195562,133633,-1,-1,634373,-1,-1,-1,253274,477751,-1,-1,153304,-1,-1,686801,-1,243860,-1,-1,-1,-1,-1,387310,-1,-1,712061,484495,-1,-1,875497,-1,-1,-1,232126,657671,805188,179375,610588,-1,914354,272999,-1,-1,-1,-1,676853,508283,-1,919702,63344,153827,362148,840152,482858,275404,-1,163575,950213,887001,91001,-1,-1,47457,15168,-1,-1,-1,-1,-1,-1,283496,-1,567825,197717,656958,494706,-1,859252,-1,-1,-1,-1,374877,-1,-1,-1,248638,-1,28562,-1,98767,872197,-1,-1,-1,-1,348746,-1,689717,808506,851321,-1,-1,452654,-1,-1,-1,249612,793904,-1,715903,107316,-1,-1,-1,-1,759435,790241,166484,-1,226347,-1,634606,579114,-1,-1,74441,295966,-1,-1,131541,-1,-1,627078,8789,898010,511192,-1,-1,745151,245342,469227,516240,-1,-1,-1,829808,902191,322495,-1,837503,-1,531456,-1,256464,-1,175911,-1,-1,448887,457663,320959,295048,359507,906435,-1,-1,-1,618812,724266,268826,-1,-1,-1,-1,-1,-1,122262,292905,-1,-1,204462,801375,703572,-1,-1,57104,-1,932529,551639,400297,-1,978306,-1,-1,-1,-1,-1,433862,-1,658520,370373,736328,-1,951017,109271,410377,-1,329847,632945,-1,-1,-1,717391,-1,468510,562094,354632,608107,-1,53443,53712,31669,396427,947103,-1,-1,867991,-1,-1,-1,775639,-1,-1,996448,-1,225660,862360,-1,-1,-1,-1,-1,664298,-1,339576,-1,899300,222873,-1,-1,499190,72084,-1,143694,-1,725187,-1,-1,-1,191858,-1,793800,212704,277420,-1,-1,814250,591844,-1,391853,975463,-1,-1,578498,378660,787502,-1,-1,142513,-1,-1,-1,-1,-1,-1,578196,76937,-1,835600,686433,225483,545210,580759,301955,825596,111691,-1,-1,-1,-1,-1,559883,-1,-1,-1,818458,347319,600562,911733,347308,-1,896393,995103,101766,-1,-1,770357,250500,-1,407844,-1,-1,-1,196541,379492,-1,544255,-1,-1,298197,-1,222278,20861,-1,-1,-1,-1,-1,-1,153275,-1,-1,-1,-1,696623,-1,591459,48039,745318,967350,-1,999893,-1,305702,-1,784808,352593,-1,-1,535610,-1,-1,-1,-1,119381,-1,205671,366700,-1,498076,-1,220094,-1,-1,-1,-1,839896,-1,-1,-1,-1,-1,483323,896562,996220,820842,835300,530107,-1,323415,279237,-1,221171,876409,-1,-1,643671,-1,-1,692504,-1,765599,244237,-1,-1,-1,-1,559134,496711,295856,729162,-1,17515,727823,-1,312748,-1,225665,-1,729393,469013,984663,-1,-1,492522,461825,924690,-1,-1,-1,226646,-1,842602,295299,405786,346059,957667,-1,497142,-1,923365,-1,45557,777354,547402,970137,51337,598574,779189,-1,-1,439390,-1,-1,-1,171500,-1,527758,581611,-1,76273,767315,-1,435054,533068,-1,-1,-1,354022,322674,-1,-1,555286,-1,354957,-1,-1,94520,478579,-1,681766,686882,-1,891706,-1,490952,-1,-1,321906,905756,-1,-1,278211,-1,-1,481132,396222,-1,313738,963326,-1,-1,29006,577612,-1,-1,-1,-1,-1,-1,-1,185108,95788,254722,-1,568198,449306,-1,510037,704708,245256,-1,-1,-1,947685,-1,355897,-1,-1,-1,-1,230183,-1,-1,549919,-1,-1,668333,-1,-1,119638,111435,376395,606659,511601,172857,-1,-1,-1,245661,876463,759533,-1,556221,913511,-1,39829,-1,-1,336991,134771,-1,-1,-1,-1,958368,-1,-1,796109,565501,467320,-1,293467,549101,-1,600680,-1,-1,-1,798571,112721,-1,-1,-1,178772,230379,-1,234475,79726,40262,-1,-1,-1,190208,613870,-1,-1,680981,-1,725314,892608,518416,991398,-1,-1,343773,434820,-1,514089,-1,-1,159064,-1,-1,29085,455515,-1,-1,-1,-1,997847,594928,-1,616910,-1,-1,151424,-1,842848,-1,-1,-1,-1,-1,-1,181290,-1,-1,-1,-1,-1,465023,117818,555254,331439,643654,961697,17939,-1,-1,462149,266443,-1,966617,477288,727599,711726,972988,352363,-1,977465,113274,246999,-1,552586,-1,-1,78660,356052,316600,-1,467423,-1,769961,-1,639304,-1,-1,231458,982574,-1,-1,309657,-1,955046,-1,-1,-1,448913,325691,31419,-1,-1,830784,80432,210420,-1,633839,653543,28378,-1,-1,449868,848505,-1,-1,952343,906956,463816,-1,-1,632792,-1,468413,-1,765464,-1,-1,409767,627308,-1,-1,661841,-1,327765,-1,-1,861965,977120,820603,167732,345284,-1,-1,-1,401468,-1,532010,-1,-1,-1,-1,-1,-1,-1,747730,851087,-1,-1,-1,24476,744472,302453,488574,726184,-1,-1,959127,-1,884989,254458,-1,743872,354152,-1,130824,698523,-1,-1,-1,-1,205572,168396,-1,205140,-1,955677,425147,668295,841792,-1,335646,-1,-1,260759,-1,-1,578716,-1,823672,-1,-1,274830,-1,-1,-1,-1,746338,-1,522725,-1,-1,367266,625961,835529,-1,-1,90915,484212,-1,422153,-1,944584,-1,184058,-1,-1,-1,-1,-1,238574,989324,-1,650051,-1,773646,113230,-1,-1,103708,-1,-1,-1,-1,843556,-1,-1,-1,-1,600191,-1,-1,32342,-1,-1,688141,-1,-1,787654,-1,753940,474391,-1,-1,157689,102775,-1,-1,-1,-1,295984,-1,-1,-1,-1,786724,963008,-1,-1,674150,331879,311138,-1,-1,488603,-1,575073,513035,919618,-1,578682,123296,262183,966912,-1,949528,228701,774552,466315,-1,-1,-1,-1,-1,231765,429015,347056,-1,-1,-1,-1,977488,565324,-1,-1,210423,-1,-1,-1,136220,-1,-1,-1,-1,-1,292582,-1,517215,518373,833723,-1,-1,77256,-1,-1,488898,455819,-1,-1,952887,815051,-1,854050,-1,-1,107219,366232,-1,-1,-1,-1,242766,-1,-1,-1,536294,-1,836850,-1,-1,422628,-1,68838,418143,-1,999408,-1,-1,-1,-1,981921,-1,948467,175853,646535,-1,-1,-1,597844,-1,-1,-1,917921,-1,175634,500593,-1,767251,-1,-1,264772,996738,-1,169957,560079,931806,-1,-1,126703,289536,-1,67398,826497,266974,-1,379378,-1,773726,-1,-1,81030,252032,943556,-1,864305,897443,-1,621715,-1,557682,121483,-1,604593,690589,197729,660665,337003,470439,70777,-1,399992,167241,331975,-1,-1,367706,-1,-1,386236,-1,-1,-1,-1,-1,-1,-1,686448,81020,869412,-1,-1,-1,-1,464430,-1,-1,-1,144868,783067,-1,612533,-1,450753,-1,954900,-1,-1,871120,300913,510655,-1,-1,-1,789794,-1,628572,-1,111126,830162,472639,-1,-1,-1,300377,-1,109914,-1,-1,734219,901054,595800,-1,498879,-1,712763,336088,-1,217692,631231,-1,420499,536494,-1,-1,81423,493258,684656,-1,-1,-1,-1,-1,-1,-1,-1,-1,192144,-1,117613,706528,-1,-1,-1,459725,582681,437891,-1,754493,527913,377462,929210,-1,881349,-1,290179,202527,-1,568384,982444,-1,-1,-1,385825,-1,320747,489819,-1,7175,916842,-1,799620,-1,598645,719631,-1,275012,558127,268220,-1,-1,-1,689647,-1,706679,697946,394400,-1,381380,559785,-1,-1,999447,-1,-1,975014,-1,-1,-1,459943,-1,1273,36348,14359,461201,-1,411286,-1,547383,343495,227641,10550,621642,278715,-1,424381,-1,379960,-1,450249,365529,716722,671684,-1,895304,-1,-1,-1,-1,-1,-1,-1,65369,639382,267735,449997,364962,-1,169827,-1,843408,-1,415988,112225,-1,202507,-1,-1,-1,-1,835379,375336,929015,273342,270376,62001,-1,-1,965043,-1,-1,-1,910840,233245,-1,-1,-1,-1,-1,48026,310855,871550,-1,288190,43175,250332,426331,-1,120713,-1,-1,720187,880227,-1,-1,421607,-1,-1,3977,-1,153980,-1,934068,381113,-1,-1,-1,-1,111556,-1,-1,-1,-1,-1,42801,353149,293899,793419,-1,-1,-1,396650,-1,-1,-1,-1,160494,-1,773267,-1,-1,-1,885827,-1,-1,-1,-1,266696,-1,-1,692494,322305,-1,786718,-1,-1,-1,-1,-1,282277,-1,278205,6605,-1,272111,-1,-1,-1,-1,53194,-1,-1,865738,-1,896754,-1,-1,-1,871133,-1,-1,736891,623696,116291,245762,211992,-1,-1,964566,-1,-1,554481,-1,19793,-1,-1,-1,-1,221938,186631,574320,-1,-1,404640,858006,-1,-1,668269,535224,-1,-1,-1,151222,-1,728748,31212,-1,999251,-1,-1,-1,-1,473488,77945,282452,-1,677653,-1,-1,983721,-1,474627,698510,390622,586853,851704,920797,-1,205170,723635,-1,-1,372011,-1,988393,-1,960813,547688,-1,375403,-1,-1,41513,-1,893663,783268,-1,693024,60898,338027,881104,-1,-1,-1,102830,407583,-1,930202,443066,504741,-1,-1,-1,-1,868700,519178,-1,-1,956681,-1,-1,803871,-1,81152,683729,124036,-1,644697,475498,-1,432078,435073,822654,-1,752084,487621,389127,-1,756090,956253,489104,128294,952317,-1,889098,231956,696716,-1,609038,-1,-1,-1,645960,-1,-1,699771,113955,146131,-1,-1,-1,538400,959228,-1,888733,489042,-1,130769,-1,280727,-1,-1,82286,91684,62324,789372,19797,-1,-1,969018,-1,438954,-1,-1,480708,18774,-1,417007,-1,-1,722985,-1,293278,-1,610530,501263,38875,-1,766067,-1,804925,365323,-1,395056,238165,137908,-1,-1,349171,-1,636998,229246,62416,-1,-1,372393,497097,-1,864010,-1,796221,164803,917460,700085,430475,-1,-1,-1,-1,-1,698214,-1,260902,-1,687627,-1,-1,814150,973429,323406,346780,-1,-1,-1,-1,521860,-1,-1,253786,833651,-1,-1,147861,-1,710053,525724,982996,-1,671494,247531,813110,154660,-1,-1,-1,887666,-1,-1,-1,-1,700617,-1,924720,-1,527144,-1,777878,-1,-1,-1,24932,664929,387114,604967,366178,249243,743031,-1,33385,-1,-1,408564,711580,-1,646753,339446,-1,-1,-1,-1,-1,-1,928411,-1,54084,-1,218930,-1,19577,-1,-1,-1,267192,-1,-1,46994,-1,-1,329723,-1,-1,-1,974804,-1,229699,-1,-1,-1,928331,-1,876479,611268,-1,-1,-1,724577,611053,-1,-1,333281,629892,-1,197675,898611,235332,216498,55649,663151,299359,978446,979844,591132,-1,-1,602789,828847,-1,-1,660751,26040,349338,815783,3535,-1,289847,677683,360035,-1,-1,234970,656470,559362,222584,-1,-1,-1,337135,27871,-1,-1,876453,-1,-1,-1,107771,565238,-1,-1,-1,480387,360536,191820,808803,564835,-1,790567,-1,724610,-1,-1,-1,-1,-1,269951,710148,-1,442403,-1,302902,-1,332529,126466,863591,401097,42507,-1,311054,-1,-1,-1,737416,922375,588223,1330,-1,-1,-1,767675,228748,979620,644087,781696,784680,-1,-1,-1,-1,-1,30661,-1,-1,438007,464822,-1,-1,288901,419333,42953,672090,-1,181554,751998,-1,503824,859877,496486,-1,-1,-1,448091,391008,-1,777232,-1,-1,-1,-1,266515,-1,67520,252378,-1,229877,36559,-1,-1,-1,-1,-1,-1,682696,907475,-1,684409,-1,56317,-1,911660,959774,567767,894631,816098,596303,941457,-1,813705,236501,-1,720409,656010,98991,-1,-1,95995,942080,227598,-1,-1,-1,-1,833736,176858,-1,846682,99336,97323,473707,789362,82905,-1,347710,-1,617583,-1,-1,-1,347016,469248,629371,592121,928835,817900,350606,279347,746752,122400,648880,-1,-1,114223,665660,-1,-1,348075,-1,444540,-1,-1,-1,636522,-1,361577,885755,840724,210706,-1,-1,-1,-1,-1,-1,-1,541807,899472,-1,90286,485265,-1,-1,356880,950215,523765,-1,374209,85215,98385,-1,-1,808730,-1,-1,575325,370547,554823,850750,-1,-1,-1,936752,-1,670670,978677,-1,810689,483083,579684,55204,-1,230131,177185,58182,716873,855284,371648,684939,186702,488189,580502,486383,-1,-1,967959,-1,-1,-1,192816,553293,766684,-1,707063,456830,719287,641848,484642,-1,961090,-1,335722,732902,283029,-1,-1,967652,699178,-1,-1,780190,-1,369332,103481,-1,-1,-1,752048,456524,866251,-1,-1,-1,-1,891147,-1,946411,-1,-1,199003,-1,821249,-1,-1,727241,262223,-1,802711,-1,-1,408743,-1,-1,-1,793365,-1,710364,-1,970030,-1,19579,212506,-1,-1,430497,647388,-1,-1,-1,141365,-1,523775,495579,581939,-1,139616,867397,-1,573582,332012,-1,164136,-1,-1,-1,-1,374978,838846,550936,595619,24928,-1,-1,165937,-1,574110,577120,426931,921229,-1,2613,-1,-1,375976,-1,813817,864686,-1,-1,-1,303965,-1,37884,676524,179820,744347,939239,969765,569404,901416,-1,297244,-1,767564,-1,-1,-1,-1,920409,-1,365550,904626,-1,739298,-1,-1,-1,-1,-1,147251,-1,736260,-1,175590,-1,271802,331279,-1,829232,-1,886496,-1,-1,-1,929066,771097,-1,416057,824388,-1,763836,-1,-1,590403,220761,164424,660256,432352,-1,-1,936370,573805,722145,-1,447805,-1,-1,592441,251082,-1,879041,-1,-1,-1,43496,203579,-1,688083,44985,-1,787964,315377,-1,-1,-1,-1,-1,-1,-1,940513,642451,969911,-1,-1,915710,142282,-1,-1,705863,726642,-1,-1,-1,389116,-1,87622,331750,767488,488546,503456,-1,-1,613162,-1,-1,9067,-1,449117,-1,734598,-1,752924,582589,765569,951907,-1,-1,370699,-1,-1,387415,-1,-1,-1,452219,-1,-1,530918,-1,-1,-1,-1,-1,-1,-1,-1,468401,287441,979728,500578,-1,309887,-1,-1,759621,-1,514152,-1,294572,-1,990594,-1,230852,-1,421371,-1,785854,883247,-1,717485,232212,12288,-1,-1,462062,879833,136164,-1,364924,86124,890627,-1,-1,36929,-1,-1,-1,-1,-1,-1,-1,410130,-1,-1,189805,-1,-1,86097,-1,-1,804446,-1,628759,821412,20309,-1,400643,458959,-1,266455,-1,100361,-1,692190,26265,-1,-1,955327,55172,-1,-1,496240,798569,-1,250462,434808,-1,-1,726159,-1,166767,688505,-1,-1,796924,-1,-1,103540,-1,548220,170169,-1,733482,-1,646030,-1,158685,-1,-1,212694,33007,69737,-1,-1,855832,565598,-1,-1,501437,6601,487718,-1,-1,-1,-1,-1,702206,-1,-1,913800,-1,592148,357082,337487,-1,452866,-1,387908,465987,485008,511738,944125,-1,985793,725095,915297,976530,-1,-1,226506,-1,54930,213964,-1,925202,-1,939227,-1,411952,-1,895977,-1,-1,229243,-1,-1,-1,1378,597568,274325,654972,-1,494549,43210,239591,863818,680137,-1,-1,-1,-1,-1,135074,1547,-1,364472,-1,929288,-1,-1,-1,-1,-1,-1,-1,-1,332275,-1,129430,633740,619141,529392,541631,-1,-1,254543,423713,442318,-1,260703,529971,-1,538355,368801,-1,764165,683025,110842,-1,307537,-1,769087,305396,108044,179396,784746,649316,146391,-1,184506,155553,411977,527048,-1,562589,-1,165267,-1,-1,183002,521915,-1,-1,-1,460092,-1,-1,708214,-1,-1,-1,-1,735051,788396,-1,-1,185919,871471,358055,600763,240524,-1,410513,-1,-1,377459,-1,-1,-1,-1,-1,486319,218792,391920,-1,-1,-1,633001,-1,-1,-1,54429,-1,604939,577131,130645,86731,132114,828374,-1,408354,473007,720973,378269,21267,133089,135129,208304,552125,-1,573995,530359,-1,972560,-1,324083,535690,-1,-1,-1,-1,566659,54535,-1,-1,217954,989658,-1,901342,-1,414978,747475,851822,-1,499120,-1,-1,-1,-1,681154,-1,-1,-1,-1,561128,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,979491,677757,317729,-1,547637,683153,701615,279580,-1,-1,-1,-1,-1,-1,-1,-1,39529,-1,165516,826999,-1,-1,226760,247141,60752,-1,-1,659696,763782,362022,999673,-1,-1,-1,-1,-1,246912,-1,366391,-1,-1,-1,750952,201501,-1,-1,741141,318228,291043,-1,-1,385546,-1,536905,-1,-1,-1,512530,-1,700946,363213,-1,247598,-1,393819,516723,-1,-1,574732,-1,79865,-1,221218,-1,734962,192067,-1,949107,-1,351104,961437,-1,71352,758719,365110,-1,-1,-1,-1,48997,925529,-1,755205,109044,-1,-1,753355,-1,916499,-1,-1,4859,-1,840958,-1,-1,307321,-1,-1,-1,-1,662977,-1,265999,-1,409004,-1,263377,-1,-1,-1,359159,-1,207027,364118,-1,199258,-1,641960,352690,180078,757097,-1,-1,-1,485727,405497,560663,-1,-1,754269,-1,-1,-1,-1,244785,-1,-1,-1,395722,251530,-1,26992,-1,488722,239632,-1,410853,579954,95902,-1,131852,836431,-1,-1,782746,732739,730589,-1,-1,-1,-1,224153,-1,-1,166858,-1,-1,-1,-1,809329,-1,177254,876849,-1,854163,229987,718007,-1,-1,507407,308107,502453,915403,85256,717189,251825,432814,438998,601867,363026,-1,-1,291085,-1,506231,-1,-1,868017,-1,534616,-1,-1,-1,-1,723750,584799,-1,-1,26872,-1,-1,64775,-1,-1,-1,517825,654796,-1,188641,-1,143728,-1,-1,984009,-1,-1,981407,632753,-1,785064,383872,-1,-1,346161,699207,827519,-1,-1,-1,-1,-1,752031,-1,116799,642996,305781,-1,772589,349778,-1,-1,-1,379859,-1,-1,550611,30950,361677,217020,376792,-1,378389,-1,519612,-1,-1,-1,168499,872515,414349,-1,661081,-1,457739,-1,-1,711685,897848,-1,252174,652899,-1,-1,-1,-1,-1,524443,591767,157165,-1,801189,-1,375659,-1,382070,215014,265769,-1,988012,-1,-1,215586,-1,-1,-1,805964,302506,876988,696497,769369,-1,910310,-1,-1,61925,-1,59479,-1,-1,380163,202636,-1,82779,-1,-1,435662,185204,247754,361767,449125,872847,-1,-1,-1,601529,373369,-1,546425,875931,-1,229603,141563,964530,-1,79142,-1,-1,591903,727239,-1,-1,-1,-1,-1,297043,-1,-1,-1,-1,-1,827487,-1,484397,760812,-1,12185,182002,18180,-1,-1,-1,-1,779450,97608,-1,-1,566081,-1,-1,369652,-1,-1,-1,-1,906594,-1,-1,-1,724809,-1,470120,-1,888706,224112,236880,701642,845646,-1,512279,-1,540453,-1,923201,785550,-1,503343,155072,523401,-1,695280,-1,-1,-1,-1,-1,-1,-1,949813,781551,297131,-1,960786,232663,493411,251153,204298,850591,935016,839792,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,377768,756659,507643,597018,-1,418597,-1,533258,411069,-1,-1,567511,-1,-1,613309,700083,598642,330218,87357,-1,-1,-1,-1,-1,-1,-1,872718,-1,295480,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,484981,587537,967779,-1,193998,690170,359504,-1,528992,99333,-1,321957,642778,-1,-1,-1,-1,-1,87526,-1,611264,-1,634433,-1,372640,-1,564463,-1,-1,-1,136485,-1,-1,-1,396638,254171,743584,-1,106449,-1,-1,-1,90796,-1,-1,900021,-1,-1,-1,207443,-1,-1,-1,-1,347189,27119,72241,-1,948854,5667,-1,320345,101447,379848,384780,-1,827982,-1,-1,-1,-1,-1,912530,-1,831311,-1,-1,-1,869829,-1,650453,113019,750266,-1,57148,4672,-1,-1,-1,-1,628743,-1,539210,-1,220661,-1,369041,529361,-1,508063,-1,-1,-1,-1,-1,377217,956112,459339,-1,345504,-1,220586,616833,-1,-1,-1,865788,-1,-1,589640,329829,-1,157158,962593,107023,-1,875857,-1,-1,-1,134682,956873,127126,4313,657586,657651,749423,28493,-1,-1,565804,-1,-1,129645,788239,826118,121937,949903,-1,-1,662926,-1,804433,727040,-1,-1,-1,-1,-1,-1,-1,-1,-1,709950,-1,223645,-1,452994,42624,813632,-1,85240,135677,351057,-1,370630,-1,-1,144188,11351,-1,-1,520743,941868,565722,276048,-1,428889,444030,992512,828069,-1,766336,29659,606054,-1,439520,857102,-1,-1,702044,-1,-1,501373,946213,559395,132763,320204,-1,-1,796823,-1,-1,465093,15188,974272,452876,567681,457151,-1,571967,-1,670744,-1,-1,-1,-1,38729,400683,-1,365436,-1,112962,-1,65959,917317,742901,-1,38116,-1,-1,-1,-1,-1,-1,-1,-1,630512,604086,868288,-1,-1,-1,203217,-1,443523,-1,-1,672364,886604,-1,410794,519138,-1,665829,606959,-1,975151,-1,823772,-1,245596,487565,349043,531339,264634,-1,-1,-1,722098,-1,-1,484570,-1,817071,-1,856674,190285,-1,-1,-1,-1,-1,549213,-1,-1,488358,673787,-1,-1,-1,314937,-1,-1,742030,-1,698203,-1,558810,104292,824983,723876,-1,746036,645547,-1,253831,457555,-1,-1,-1,849520,116760,-1,907236,815935,-1,692781,-1,-1,-1,633135,-1,-1,570432,-1,305640,202020,629709,-1,-1,356834,116314,-1,799732,413199,693565,234600,641315,-1,424720,-1,784807,-1,-1,315792,-1,-1,451624,-1,292067,-1,855584,-1,-1,-1,445000,142681,623128,-1,-1,915805,400258,-1,-1,-1,-1,-1,567622,404625,51259,616514,390341,-1,-1,-1,666179,930434,959185,760454,-1,-1,-1,342814,-1,-1,337778,321516,963168,18456,-1,88049,-1,559535,876559,789075,616413,437097,123809,-1,-1,961988,698325,465733,308240,632207,-1,-1,-1,-1,197645,171359,-1,67280,651770,-1,-1,-1,-1,-1,-1,-1,-1,-1,967917,-1,-1,-1,-1,-1,-1,-1,24118,852792,788099,596484,-1,-1,401806,457588,-1,-1,56017,-1,-1,732865,348916,-1,-1,413991,-1,-1,-1,18855,125148,834224,275310,-1,-1,-1,-1,794905,-1,256231,-1,297651,801095,-1,451187,198379,819385,124958,-1,-1,490442,-1,-1,-1,-1,90938,157985,210132,635532,-1,201387,-1,266392,561623,-1,-1,36772,-1,79945,959663,153785,-1,956440,888171,83914,-1,-1,-1,-1,427345,533459,-1,816022,-1,-1,-1,938837,-1,749842,-1,-1,-1,875766,968880,-1,-1,-1,-1,450840,865142,626075,-1,387143,-1,266567,-1,-1,-1,-1,239515,-1,41988,-1,-1,-1,-1,399374,48398,12634,-1,874841,667322,144137,-1,-1,-1,-1,537036,765067,-1,287303,-1,472133,616170,369010,-1,-1,-1,389256,-1,993232,-1,201524,712007,-1,-1,581942,170362,381581,-1,502348,557610,798278,-1,270334,-1,385695,149233,-1,-1,906946,-1,-1,193441,552488,512773,946265,29717,330962,795966,194147,318647,-1,929874,-1,85179,632715,590088,344758,-1,-1,-1,317124,-1,884400,-1,-1,-1,345649,-1,204674,-1,-1,-1,-1,336755,-1,562478,-1,569145,314344,-1,-1,-1,848097,389401,793542,-1,630353,-1,247215,528424,219764,817370,-1,304864,468551,-1,-1,-1,-1,286063,388883,697522,959121,498097,176157,97208,-1,258546,-1,-1,-1,-1,272884,-1,-1,937823,140188,734299,-1,-1,159440,-1,316892,-1,-1,518754,426106,-1,-1,816966,914889,-1,672661,-1,49843,-1,-1,195985,-1,646405,624568,299351,-1,-1,-1,-1,762654,-1,-1,577033,-1,-1,49993,913347,-1,448734,531783,-1,677376,642977,-1,-1,707646,-1,-1,-1,113889,-1,437936,-1,800601,848138,-1,421259,-1,-1,-1,-1,-1,-1,823494,-1,954904,-1,388453,658765,-1,481815,-1,324615,-1,363022,766514,-1,385797,199,89603,367202,880262,-1,628729,607129,329718,-1,338934,-1,924660,373953,467744,-1,-1,-1,-1,-1,-1,479752,-1,525288,158879,-1,560186,587491,-1,-1,-1,-1,672717,-1,-1,823659,935746,-1,957488,18761,-1,986538,-1,960765,814867,-1,245400,-1,-1,365243,94385,-1,-1,-1,-1,502731,800684,-1,745447,742348,170818,-1,-1,-1,42938,394744,-1,-1,426714,232254,606970,252921,-1,478679,706424,291103,-1,440465,347234,-1,495525,628425,742574,-1,508666,143848,46394,635253,979154,-1,-1,-1,929162,-1,914678,54277,305274,-1,-1,615532,-1,967737,-1,805048,786559,-1,60159,202967,-1,271643,-1,536593,-1,763079,9942,-1,-1,426123,-1,169261,367487,634847,157674,421116,-1,-1,-1,-1,-1,150557,656386,-1,-1,-1,961205,833415,-1,-1,-1,492611,923007,425624,-1,931950,-1,921966,-1,889204,-1,914493,662514,747911,280909,590995,611626,-1,-1,743719,563964,-1,37556,-1,-1,263882,103909,570710,413185,768095,883224,-1,746861,-1,289834,745292,831667,853365,-1,-1,172737,-1,-1,882459,-1,-1,861276,631775,80023,-1,-1,344142,658188,719772,-1,958860,-1,775254,679357,-1,-1,-1,-1,-1,793654,283514,342640,-1,609663,898184,466133,779900,751603,-1,-1,930273,687779,72008,144992,-1,863675,618964,-1,884753,-1,-1,819022,793194,-1,-1,-1,-1,-1,-1,536204,-1,133873,-1,-1,889958,-1,-1,183616,981165,-1,-1,79077,-1,-1,617797,473501,145937,805171,-1,672523,-1,-1,575677,-1,-1,292085,898448,-1,-1,120165,-1,736461,-1,196392,317945,34568,6524,811527,861834,785501,59167,484022,-1,-1,-1,31375,56396,723408,757311,117213,-1,-1,390000,940342,63788,469296,-1,302613,635556,892633,-1,595099,448641,372469,-1,-1,561346,946201,382527,-1,994533,643041,698938,-1,815703,464589,-1,-1,-1,25474,822915,-1,810701,215633,930851,787150,-1,958194,-1,-1,650425,125604,-1,676149,283773,-1,396889,-1,798823,857490,-1,-1,874192,-1,-1,-1,628358,443445,-1,-1,610762,-1,925950,316052,-1,325523,-1,793214,-1,217636,391532,981863,-1,-1,229314,-1,-1,852568,-1,854471,-1,-1,458369,-1,305622,-1,-1,78906,-1,810524,-1,749315,963717,-1,885841,422175,945625,463785,805494,-1,-1,11161,783699,-1,454462,-1,639566,-1,-1,-1,-1,83199,767738,381128,985990,446171,900052,244341,-1,-1,-1,925326,436981,-1,-1,708707,-1,559414,542826,11173,-1,-1,8366,75323,922699,433599,-1,906203,-1,206804,868684,600701,-1,-1,897562,-1,-1,806257,464488,-1,943366,152478,-1,-1,171428,-1,549423,67907,-1,478113,954605,-1,945495,16711,-1,46765,-1,93574,957880,449495,-1,-1,439063,-1,991585,851038,-1,-1,-1,492964,-1,-1,-1,-1,244834,-1,-1,606326,294383,-1,871601,83808,218104,965878,661661,562801,839524,925846,143271,902630,118707,109890,-1,-1,-1,432929,181076,156602,983240,66617,-1,679892,357788,344894,73864,56695,248815,-1,63072,-1,905395,50360,-1,-1,-1,-1,-1,-1,460268,-1,221604,-1,956809,304733,-1,184872,387073,849209,-1,-1,-1,-1,-1,517359,884404,426574,495773,-1,-1,380770,-1,-1,829318,770616,-1,646903,772225,96399,-1,-1,187863,-1,-1,-1,861045,786898,-1,480737,-1,-1,576379,170915,-1,-1,-1,-1,-1,496659,54896,-1,155813,893699,-1,-1,761653,444963,-1,-1,243998,-1,-1,793505,-1,-1,-1,469850,861039,-1,54732,-1,-1,640772,-1,414122,774141,-1,-1,241848,-1,779966,523470,795213,120597,-1,-1,651363,-1,-1,-1,159215,-1,-1,379051,303973,-1,-1,-1,-1,20627,-1,484151,-1,-1,778833,-1,112001,104140,279353,89841,470389,800613,589603,-1,153379,-1,-1,-1,-1,645557,298556,-1,312777,606362,-1,-1,720626,789442,762326,556054,205714,-1,559391,174317,556978,-1,227029,278463,-1,-1,-1,-1,222742,218614,-1,446927,-1,367605,-1,947352,672944,-1,714684,-1,593459,704782,374116,14470,-1,-1,-1,939018,424461,483620,-1,388598,126016,886135,-1,535795,-1,-1,40980,634696,402433,-1,154356,68751,-1,824555,612094,-1,-1,252259,-1,-1,-1,593501,-1,978702,393929,870719,-1,158898,142201,842613,79220,-1,237990,-1,-1,196518,-1,195114,638209,-1,-1,728278,-1,676301,-1,-1,615839,-1,-1,-1,44779,33254,590041,270433,907210,-1,-1,-1,496929,993909,-1,272422,-1,-1,-1,-1,-1,-1,780809,745391,-1,60813,476676,-1,-1,-1,37538,-1,-1,-1,516022,555796,-1,828039,-1,-1,-1,849912,-1,409927,112154,-1,588848,-1,366515,715817,59004,562520,-1,-1,344457,720537,-1,667220,615440,-1,949569,-1,436485,890645,983439,926713,-1,-1,-1,-1,-1,-1,-1,269506,-1,595158,-1,-1,-1,868201,-1,-1,401498,-1,571951,366245,386827,-1,-1,419711,297641,-1,-1,-1,-1,-1,-1,-1,-1,922674,-1,-1,-1,553146,-1,-1,373476,-1,-1,-1,-1,-1,54264,-1,-1,-1,-1,-1,363013,673588,-1,165676,-1,312998,-1,871244,-1,211768,825222,-1,956922,33787,-1,-1,-1,347999,476047,155418,-1,60177,747483,412907,-1,511862,-1,-1,-1,-1,-1,-1,174898,-1,410676,-1,-1,616202,444149,-1,-1,918921,372085,23461,-1,251605,-1,411209,107285,-1,-1,-1,-1,23292,-1,-1,-1,-1,179097,342873,862470,589161,465849,828644,-1,80951,-1,110464,733193,274322,755875,513935,-1,226375,543926,-1,491335,248472,-1,-1,-1,-1,-1,976875,800500,764851,37577,-1,-1,-1,100144,-1,377614,495299,381730,-1,807784,-1,617679,83205,542793,2836,324785,-1,715635,462801,736753,-1,-1,-1,-1,-1,-1,-1,-1,122126,11926,-1,936622,-1,-1,210576,915295,558137,-1,-1,-1,241213,292964,72997,-1,228105,-1,216754,9283,793483,-1,-1,-1,-1,765277,-1,891044,-1,715226,242051,998286,894444,377366,-1,-1,178415,-1,871719,-1,-1,-1,83604,436922,-1,661200,122979,-1,751556,642925,-1,142695,-1,-1,72671,811221,-1,596953,985641,790523,137613,-1,960014,578391,-1,-1,-1,-1,116531,-1,-1,73139,844033,-1,413895,-1,403129,744946,-1,542379,154985,-1,-1,-1,700015,-1,902140,929941,-1,-1,-1,988809,-1,-1,-1,-1,963875,47092,-1,332665,310438,159759,-1,773544,-1,120053,-1,719173,325249,-1,-1,164503,-1,417459,77631,755509,-1,-1,-1,-1,31571,834508,689399,629769,152293,-1,581780,-1,110814,178343,-1,-1,32108,349958,-1,629598,-1,228478,-1,-1,265585,-1,-1,-1,992926,527267,80316,-1,391535,838596,-1,-1,797161,272894,-1,-1,-1,192464,-1,260863,264207,541202,965482,808488,-1,-1,298244,849038,-1,318159,476387,217984,-1,228569,140864,827191,-1,-1,349559,271092,-1,-1,-1,-1,-1,-1,375366,892666,225588,728763,-1,-1,168887,821517,-1,-1,208674,234373,646475,462735,958947,971457,634055,436310,901367,-1,-1,15782,484924,418862,-1,788637,-1,651828,783241,188558,-1,293786,-1,-1,942322,-1,493503,485500,-1,-1,-1,-1,169751,116732,226583,-1,-1,123052,-1,524085,-1,331805,194788,960025,133039,607330,506966,408169,499629,-1,867275,62484,-1,444565,-1,505633,510417,208829,163180,87210,244192,194835,-1,897880,548028,-1,834753,128895,69685,-1,-1,-1,926444,540302,-1,-1,298618,67214,23393,-1,-1,636132,-1,-1,114887,-1,-1,95882,-1,384550,-1,903923,74519,-1,-1,372118,-1,60586,-1,-1,-1,-1,-1,615075,-1,998149,981930,190055,-1,884672,-1,931084,621451,-1,792428,83460,849957,796853,-1,295256,15988,-1,-1,149652,259530,-1,897718,140505,286836,667233,943172,506545,-1,-1,-1,-1,519885,-1,-1,-1,-1,436629,885123,211552,-1,-1,-1,-1,546305,265957,-1,-1,29409,-1,-1,342425,-1,-1,-1,222750,-1,777218,-1,-1,-1,-1,826319,704669,-1,504981,-1,372727,-1,139161,782134,83575,290632,151367,551174,70252,586254,387621,544734,-1,-1,646826,-1,-1,-1,-1,528643,827961,-1,-1,-1,-1,392293,-1,-1,6508,447343,-1,-1,-1,-1,-1,-1,78098,711589,-1,-1,-1,826454,981,69746,-1,-1,-1,-1,-1,87977,-1,-1,482371,-1,-1,-1,721048,-1,484350,-1,575680,-1,-1,-1,375530,707664,898810,817986,804183,654902,-1,515651,-1,-1,-1,277456,962482,408757,-1,938154,951951,713691,422788,-1,90122,255217,-1,780154,-1,-1,354907,937768,-1,-1,715415,250349,-1,872677,461841,543598,-1,874179,940507,170583,-1,10911,-1,674208,-1,488247,-1,962884,-1,-1,-1,-1,263038,-1,270316,-1,-1,734307,-1,-1,-1,-1,405278,980850,123301,46051,-1,-1,991652,524149,373565,204376,-1,-1,265538,104349,-1,-1,150460,805212,-1,-1,-1,-1,-1,21044,871558,-1,207294,-1,-1,315889,-1,349100,45932,-1,692496,-1,-1,744488,833260,584572,-1,-1,-1,795484,830739,171921,-1,154500,-1,570689,625535,785658,-1,-1,232835,-1,-1,435940,409770,819781,375573,186263,-1,-1,170219,916143,824292,-1,-1,225857,886138,784484,-1,641102,241959,473929,23307,991046,329246,535512,623213,933608,395796,-1,903076,-1,751757,-1,2166,460797,-1,906118,-1,18451,750516,-1,-1,987627,-1,-1,-1,-1,278399,627967,-1,736880,-1,554376,288357,-1,-1,-1,827520,973536,738340,-1,-1,-1,-1,-1,240382,-1,-1,-1,-1,171078,-1,-1,41998,-1,321581,-1,-1,811339,286461,640628,-1,-1,286767,-1,-1,549454,254081,-1,-1,112244,-1,-1,79353,34756,262246,246750,614189,99022,494733,48885,-1,-1,985803,-1,-1,-1,937735,324322,-1,199183,-1,500135,-1,-1,151877,-1,954457,-1,559951,505942,164519,776820,910766,-1,962166,-1,-1,-1,169106,-1,418249,-1,211225,720924,-1,-1,-1,-1,-1,-1,907170,-1,-1,-1,365344,-1,388403,-1,-1,827410,455104,963056,-1,406826,267107,-1,818969,318028,-1,617334,786894,-1,-1,-1,219609,-1,-1,-1,-1,74462,-1,304218,-1,282139,92402,-1,706029,-1,-1,-1,820318,282596,919926,-1,640296,-1,362185,-1,916749,697771,445565,196034,-1,-1,262573,-1,-1,957107,-1,314426,-1,-1,-1,156554,-1,630301,-1,-1,-1,630256,158107,-1,-1,-1,746266,7860,91744,-1,-1,422664,845668,-1,253670,-1,670849,-1,550258,-1,284743,785768,493440,209970,-1,694649,773493,-1,-1,819174,-1,-1,-1,260042,177877,-1,377977,412497,556194,542102,-1,920615,-1,936635,-1,395301,-1,-1,221371,416221,160715,322976,-1,-1,263659,92712,379062,-1,9231,986302,724453,-1,466045,136311,862644,630816,-1,562238,-1,-1,-1,199928,-1,-1,376602,346364,735606,-1,83389,-1,-1,937954,-1,-1,-1,-1,-1,837858,907858,680346,-1,84780,-1,-1,191384,-1,-1,418808,314573,516281,875888,667103,-1,477992,-1,648936,731548,-1,-1,317271,866573,-1,-1,352162,-1,30367,-1,-1,120855,56372,-1,-1,83752,259283,211148,973348,570569,834865,-1,24248,-1,996756,230343,623029,-1,-1,48239,-1,-1,505096,636416,-1,-1,-1,657921,-1,-1,-1,-1,310523,820303,-1,-1,990673,106005,-1,685999,289492,-1,677096,-1,347834,-1,-1,354418,979723,-1,725387,-1,738360,-1,-1,-1,646732,326469,460911,-1,-1,-1,657231,-1,125799,-1,-1,-1,717563,-1,673218,-1,277370,245072,889108,-1,-1,-1,-1,745121,-1,-1,-1,-1,-1,295426,624162,-1,432883,827761,-1,-1,-1,-1,-1,573328,509083,974475,534066,784850,87925,-1,763902,-1,352956,722893,95492,608127,-1,-1,-1,579549,217071,122599,485604,-1,302470,666720,-1,-1,457893,-1,958933,709811,954182,-1,-1,933885,823038,225055,254730,851984,-1,809600,470892,269075,-1,-1,796360,79644,-1,-1,-1,-1,-1,149805,-1,-1,427501,248919,-1,-1,-1,822122,881051,228735,-1,-1,-1,314167,439104,645369,-1,257734,-1,-1,873477,-1,-1,-1,-1,-1,-1,631795,520117,-1,-1,802980,-1,-1,109164,-1,647387,101454,-1,326233,-1,-1,523678,474496,229589,716305,-1,-1,-1,893245,-1,-1,335023,12261,-1,882409,-1,-1,780248,-1,-1,-1,-1,-1,110056,-1,-1,751875,873268,-1,503560,-1,341889,151494,729384,-1,553717,-1,100498,-1,764690,-1,819196,-1,113032,-1,78329,789990,191356,405722,-1,-1,900204,714767,803926,-1,-1,576497,804540,301551,-1,-1,-1,653206,274198,615872,769622,964872,291535,-1,382528,-1,592108,-1,-1,989386,-1,-1,156321,-1,13863,-1,538854,-1,989090,-1,265051,422963,194566,60934,-1,-1,429776,-1,-1,872784,-1,506532,41100,-1,843266,290681,-1,-1,268134,-1,-1,796024,-1,524235,-1,593320,820515,-1,-1,316838,-1,-1,-1,19078,-1,-1,686700,552029,-1,741664,918765,-1,-1,31233,-1,-1,-1,829179,-1,-1,-1,-1,6413,-1,-1,544791,-1,-1,487051,-1,598123,217754,-1,-1,424821,681146,673251,-1,-1,478732,-1,-1,35818,-1,338744,-1,-1,-1,581296,-1,676549,193633,-1,-1,-1,-1,498967,33135,949386,-1,460547,215549,406388,-1,-1,-1,-1,271777,848830,152230,-1,-1,-1,581996,-1,-1,764372,985685,-1,-1,557627,-1,-1,-1,121029,181333,-1,-1,-1,481031,-1,709087,794572,588455,-1,243489,470651,-1,-1,117197,-1,-1,-1,348684,365202,-1,831334,-1,-1,-1,641390,-1,-1,-1,875556,73779,-1,-1,674523,-1,355190,909971,-1,-1,-1,-1,809651,-1,488497,830367,-1,-1,332261,-1,-1,-1,-1,587394,571150,250893,270526,255947,-1,27363,-1,-1,-1,-1,498388,-1,747025,505068,-1,-1,-1,-1,-1,146295,-1,-1,-1,-1,-1,551439,-1,175055,-1,-1,-1,-1,550907,137130,15651,-1,-1,231933,-1,-1,33688,659455,107354,-1,-1,-1,985085,-1,-1,482179,-1,-1,-1,944925,989836,42301,-1,236823,652583,943283,-1,50055,116809,-1,-1,121955,-1,-1,-1,-1,277494,770673,755250,931826,872838,98657,875788,315515,-1,811313,-1,582132,-1,383964,-1,-1,642079,-1,-1,-1,429030,-1,118006,335528,942339,-1,-1,-1,-1,150978,708253,-1,58261,780430,545820,-1,-1,-1,-1,-1,-1,-1,-1,287450,-1,-1,262594,984277,42892,867028,604480,484653,245391,-1,630992,186393,154381,-1,-1,281142,-1,766658,-1,-1,728183,-1,492280,11660,-1,-1,-1,-1,-1,676909,891670,-1,958245,-1,-1,-1,65029,365106,-1,-1,-1,418404,956233,68502,41600,-1,-1,-1,-1,693128,-1,493686,891454,-1,-1,441743,55955,331081,-1,-1,730490,-1,-1,371955,-1,-1,882963,462806,-1,-1,906617,666248,-1,69170,-1,-1,-1,849436,-1,-1,-1,-1,695697,-1,382971,822590,-1,473975,82349,-1,393869,-1,-1,-1,-1,-1,959727,-1,225904,-1,800469,67791,764113,303336,-1,-1,-1,-1,878546,-1,-1,-1,-1,-1,-1,-1,-1,924544,74815,792425,321063,-1,774064,764696,349271,-1,-1,-1,942177,-1,-1,-1,945891,33282,531695,-1,-1,-1,-1,57631,98925,-1,291445,627551,844753,-1,-1,-1,-1,-1,-1,-1,115929,484614,-1,9695,-1,101712,696600,-1,-1,-1,541948,384906,598802,-1,707271,215765,210152,15670,-1,-1,-1,-1,375702,597789,-1,114110,-1,436630,-1,-1,472070,-1,352082,-1,-1,-1,543080,-1,57909,822462,-1,-1,-1,-1,-1,-1,489216,-1,-1,164099,-1,664281,-1,-1,216504,606309,-1,50618,61743,-1,173495,263772,-1,-1,654946,408069,645663,807426,-1,-1,778812,-1,971622,-1,466479,950991,-1,663548,897604,224582,-1,-1,580298,740956,-1,398782,720041,-1,-1,-1,150990,409824,-1,45503,-1,907058,-1,720529,-1,851749,446743,-1,193104,-1,217646,91181,-1,624797,-1,-1,-1,-1,-1,158073,513810,-1,-1,-1,-1,-1,446824,-1,199779,-1,-1,-1,532793,-1,914224,41383,-1,-1,-1,-1,266611,266078,-1,45948,-1,-1,825347,-1,883761,389495,-1,-1,-1,685587,76008,-1,469229,-1,275924,114202,384622,603798,-1,-1,686498,271823,133048,124105,65791,642596,-1,-1,-1,-1,-1,-1,968244,-1,109275,-1,-1,-1,995221,-1,699289,-1,112942,-1,-1,339301,-1,-1,-1,-1,857504,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,321592,657639,-1,-1,-1,-1,463262,-1,110040,-1,807931,-1,-1,621857,-1,-1,-1,607106,-1,470590,426477,-1,53813,26282,-1,951709,-1,-1,-1,907635,846993,282552,152964,-1,-1,-1,19515,-1,695245,-1,-1,492612,971504,-1,573229,170518,-1,20875,-1,760684,-1,-1,285739,708080,913910,563324,406628,-1,743379,-1,-1,-1,394037,-1,-1,-1,-1,-1,243194,987468,-1,795616,-1,12702,917804,-1,618377,-1,52450,-1,-1,215612,-1,430503,331454,299247,-1,654483,-1,949713,468635,173417,622296,6301,-1,-1,-1,766513,665039,-1,-1,-1,-1,-1,262654,-1,-1,-1,-1,563612,762568,779522,-1,146093,952057,-1,-1,149415,827380,-1,-1,527920,855833,538336,791432,-1,-1,-1,-1,147513,82840,692513,-1,-1,-1,504978,790595,-1,2591,-1,-1,-1,-1,-1,-1,216941,437288,271794,-1,697361,804697,-1,728934,107205,-1,-1,-1,-1,-1,276091,-1,931892,578105,-1,-1,278222,796195,722556,499338,-1,524113,-1,438207,606275,-1,455129,-1,856980,-1,673483,-1,749015,736336,788246,-1,-1,-1,390884,15313,985248,-1,468967,384263,-1,251231,10007,-1,-1,-1,-1,106281,-1,711458,229620,-1,641942,-1,-1,223282,375253,-1,383870,521116,-1,535388,105491,829776,143624,135309,478133,372603,678329,382947,-1,347618,-1,-1,158696,-1,684996,931794,359708,940111,-1,-1,824078,406639,102815,628529,-1,802739,231979,-1,129862,-1,781770,90672,701931,397469,-1,-1,845205,-1,-1,143867,-1,-1,-1,269358,-1,86476,-1,835343,-1,-1,-1,-1,902929,822373,-1,-1,307031,-1,344990,-1,160307,48940,435868,542497,-1,568009,123396,48703,-1,403745,-1,41410,-1,-1,813762,51604,-1,886734,138708,929311,-1,978778,-1,-1,-1,-1,-1,510003,23118,-1,969326,-1,-1,595051,-1,-1,239186,-1,-1,523236,332130,194595,-1,-1,-1,-1,895993,258355,-1,357571,-1,385804,-1,-1,-1,-1,84358,-1,607103,-1,-1,-1,877126,-1,903295,891919,-1,-1,-1,-1,673451,-1,174561,-1,-1,-1,16907,-1,637033,-1,-1,993183,200079,187539,-1,451657,-1,855924,-1,756321,82737,734790,-1,352139,999596,-1,587789,-1,427029,509517,-1,685482,-1,824544,-1,-1,576197,-1,-1,616084,-1,-1,-1,-1,349486,-1,822451,-1,-1,261422,681515,113666,932650,592147,903898,143542,242258,541132,-1,-1,-1,-1,-1,576797,-1,666565,-1,-1,-1,-1,431420,-1,-1,-1,335277,718593,-1,495639,-1,847941,140356,-1,-1,958847,689678,626092,-1,900716,174638,-1,823928,-1,257929,14447,-1,-1,-1,759102,-1,-1,179463,-1,488365,-1,-1,714488,-1,-1,822158,-1,370156,-1,188008,-1,-1,740877,-1,-1,-1,973355,-1,-1,568975,-1,72446,-1,449849,726889,-1,-1,726279,719834,678170,3270,-1,976039,996959,124164,-1,-1,205132,-1,-1,173708,497107,-1,-1,352303,-1,-1,-1,-1,82981,-1,-1,585382,895583,614515,561849,64929,-1,444160,-1,-1,-1,-1,93923,388204,-1,-1,275646,960615,-1,620255,-1,324211,172653,620042,-1,-1,481111,159121,971657,127059,-1,998166,752613,584671,872997,-1,508491,-1,-1,-1,-1,549659,544818,-1,-1,-1,278493,-1,-1,313889,-1,653886,340933,-1,262321,-1,130837,-1,31244,-1,-1,-1,-1,-1,987295,-1,-1,604032,-1,-1,475983,-1,-1,-1,-1,835208,-1,-1,-1,705443,-1,-1,559302,44471,148227,-1,519906,4332,129698,-1,884152,-1,-1,675153,-1,816083,-1,908951,-1,397193,317216,628930,956906,134788,653530,-1,-1,450206,934811,932672,886949,-1,954972,74339,-1,-1,547294,-1,-1,881572,-1,-1,-1,-1,317823,273530,334743,-1,937751,-1,478137,-1,467877,141746,-1,472119,555415,-1,-1,-1,511828,426468,-1,-1,91517,744716,-1,746729,-1,-1,872063,-1,612485,818879,471076,-1,878924,625684,1612,753362,857078,-1,805186,-1,977996,703172,-1,588602,-1,-1,-1,313672,386605,259734,-1,886155,-1,-1,-1,-1,-1,-1,169384,-1,-1,-1,-1,-1,-1,278597,773936,729037,-1,-1,-1,38852,272774,-1,451566,-1,956411,414084,179862,779539,-1,-1,-1,-1,-1,-1,428061,-1,597069,-1,51290,-1,-1,264217,-1,686972,564566,877068,31640,733547,901551,-1,-1,-1,319166,113190,182554,-1,336849,-1,77987,-1,697436,-1,-1,141799,-1,731595,-1,914209,112894,429264,290707,471121,577461,-1,-1,357698,-1,-1,188816,-1,45338,-1,-1,502984,-1,357759,-1,-1,906746,92253,-1,-1,186112,-1,960084,69816,-1,-1,969396,-1,-1,-1,849013,-1,422158,933099,893530,-1,-1,25308,-1,44879,-1,613274,750594,727068,-1,878691,-1,181800,-1,-1,873245,271906,774006,728443,-1,-1,155583,-1,-1,63065,-1,-1,126808,-1,-1,-1,163924,-1,203226,601745,189517,197225,308908,-1,-1,90711,-1,-1,-1,840381,-1,-1,-1,-1,3071,-1,430240,242088,781520,363236,-1,422613,627756,-1,-1,-1,248877,-1,93032,483255,-1,-1,-1,392131,-1,-1,-1,125911,442283,717157,379671,283651,-1,-1,196373,189036,729128,819184,-1,978160,-1,560735,700351,312920,-1,-1,17334,823704,941736,-1,-1,-1,-1,-1,694173,398188,47247,688515,928434,-1,35587,698305,721267,-1,-1,274097,897249,977318,626750,-1,448759,822234,-1,-1,-1,-1,830011,-1,254146,-1,-1,611496,731500,449931,775133,346485,778114,-1,-1,-1,679911,371556,194650,604845,128089,-1,-1,-1,592794,-1,803782,-1,-1,-1,232288,291853,176918,390077,-1,-1,-1,-1,-1,-1,-1,-1,108621,604860,-1,130701,-1,-1,698826,-1,-1,654781,-1,951621,-1,-1,-1,-1,841330,288806,-1,732392,333885,-1,534729,762597,-1,36458,634320,837388,-1,-1,-1,845417,-1,388972,17193,-1,623806,-1,-1,218578,429331,15551,-1,886700,-1,-1,8236,-1,946350,157788,-1,985755,-1,-1,80849,-1,717970,-1,-1,647787,821780,228714,332711,738712,-1,-1,-1,90657,203494,146740,721740,-1,380168,490748,-1,-1,871123,678640,958083,-1,-1,401184,635177,175827,-1,215757,131657,-1,-1,-1,-1,-1,286061,913322,-1,-1,-1,477816,-1,-1,-1,-1,-1,393727,-1,-1,-1,917659,-1,745740,691490,922700,47843,201881,712088,-1,-1,345804,704570,-1,-1,-1,-1,463973,-1,-1,-1,-1,-1,328448,682064,817345,-1,-1,815003,-1,167412,-1,-1,-1,-1,-1,-1,613413,-1,-1,-1,178803,804355,-1,-1,-1,318260,-1,521343,-1,-1,586390,693141,277268,791058,-1,281327,-1,-1,-1,-1,741681,-1,918472,704388,224359,318964,-1,-1,28037,113842,-1,643200,-1,542453,-1,74879,527237,-1,251014,-1,818598,918290,-1,-1,375054,824390,658446,303498,415366,237633,90051,-1,-1,-1,763614,49155,312566,-1,-1,537266,249417,659148,-1,-1,-1,-1,776186,-1,-1,-1,-1,997393,-1,541337,-1,-1,486837,-1,809150,-1,136753,-1,-1,505246,-1,-1,-1,164504,-1,294519,-1,-1,172297,-1,-1,25146,-1,-1,441658,221524,438632,-1,965754,423882,-1,-1,-1,664874,-1,555629,846453,391599,-1,474459,326893,-1,-1,678579,-1,489535,602188,-1,-1,-1,210608,-1,-1,852566,792956,846692,-1,734620,-1,919975,-1,-1,83669,-1,-1,184819,-1,392433,-1,-1,-1,448865,-1,-1,823951,795759,-1,13694,-1,-1,-1,131043,475985,46530,466874,-1,-1,788232,-1,333160,-1,-1,721028,173270,-1,340426,-1,-1,896300,-1,388939,552026,-1,590802,-1,-1,-1,268588,-1,48531,21375,-1,-1,211136,-1,-1,595349,791663,572439,247849,54403,674018,-1,-1,190904,-1,118731,246486,-1,145165,-1,918483,937354,365949,-1,219410,509776,-1,816859,-1,263176,408387,898329,-1,174314,-1,519971,-1,-1,-1,-1,758554,150607,-1,260041,133078,752928,769059,549885,-1,535937,833388,39781,-1,-1,148061,109077,312755,47191,724088,-1,-1,31944,241475,299839,902808,659443,-1,-1,-1,-1,-1,38922,-1,844101,-1,-1,253277,-1,291880,-1,-1,-1,-1,874935,139118,-1,-1,-1,-1,-1,-1,709572,-1,60440,-1,146027,-1,-1,-1,-1,354581,776905,535159,-1,-1,-1,-1,576792,-1,-1,959763,576018,669014,-1,-1,942893,970639,-1,509199,-1,-1,561774,-1,699018,-1,-1,308402,116096,-1,303100,425262,-1,220433,-1,609213,237314,310062,-1,48870,-1,-1,-1,-1,-1,-1,-1,394206,-1,485030,-1,-1,307765,-1,297523,-1,-1,-1,-1,581737,537534,-1,-1,-1,-1,957581,-1,-1,-1,891464,-1,-1,-1,910879,6326,111657,643235,-1,-1,-1,-1,-1,913285,58706,116652,-1,723808,45145,400206,-1,900833,844957,-1,720204,-1,-1,-1,286691,202641,89118,472377,-1,351391,-1,906820,-1,-1,-1,24225,225387,-1,411621,224638,-1,615133,-1,-1,-1,-1,428015,366634,-1,913486,-1,-1,490878,612978,-1,917307,-1,-1,582188,405316,-1,213895,761184,242207,369038,-1,-1,383108,-1,689750,-1,893485,-1,932706,747827,736741,-1,486015,-1,-1,-1,-1,-1,-1,-1,-1,741911,-1,723234,800983,376033,736114,-1,63729,-1,-1,219086,-1,-1,-1,-1,-1,434651,-1,-1,-1,55099,-1,-1,-1,-1,-1,-1,284040,-1,-1,428960,-1,-1,464308,158486,-1,-1,620939,332967,196835,914649,481270,-1,-1,731099,-1,-1,-1,-1,547611,-1,-1,372093,837628,-1,-1,732457,-1,542019,859137,-1,302442,511998,-1,190812,61129,625800,-1,998967,311467,261156,-1,744382,-1,-1,-1,-1,-1,203297,-1,790180,844600,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,548385,410447,-1,752356,-1,571800,-1,-1,845874,-1,690416,556240,491814,-1,277348,210358,-1,-1,890768,-1,-1,298511,810293,811565,-1,-1,-1,59672,-1,-1,-1,581397,-1,-1,-1,-1,-1,-1,866226,822362,-1,818851,320517,-1,451408,372853,-1,-1,985546,284994,-1,572520,368811,604405,-1,-1,704612,-1,564909,188300,-1,683264,236422,-1,378563,-1,-1,668231,-1,201241,79946,650217,-1,-1,-1,3885,-1,53302,-1,-1,-1,-1,-1,201258,339812,-1,-1,-1,528124,-1,-1,-1,164128,166737,-1,-1,473887,408137,232581,669689,308498,521822,257854,169282,-1,-1,444020,365066,-1,910585,-1,-1,-1,-1,838265,-1,-1,753588,334460,808036,-1,304213,-1,276674,550302,-1,-1,144315,176853,-1,927824,926512,-1,50808,-1,407434,-1,846376,-1,-1,422310,45181,-1,790120,8518,975442,659387,-1,189470,-1,650193,563486,-1,-1,385709,-1,942229,863179,832873,-1,-1,65620,-1,-1,605576,654614,982473,-1,746105,104475,792988,-1,-1,780739,359092,846320,-1,692201,693774,829133,-1,700431,-1,988540,-1,424849,269422,-1,-1,857418,569182,-1,-1,859210,920450,470240,870587,163397,810972,-1,-1,520732,-1,158589,-1,-1,-1,-1,803947,-1,-1,546292,555216,260229,-1,35125,-1,671964,-1,-1,945640,398507,514617,-1,-1,178360,949145,-1,-1,193875,993418,234930,-1,-1,-1,247432,-1,923513,-1,889035,425280,26328,368197,-1,-1,-1,-1,712239,124340,999727,-1,719730,-1,149987,565521,15694,647820,-1,585304,-1,823684,-1,-1,493667,970155,-1,-1,769625,782697,360880,527729,253879,910203,930172,-1,-1,383440,398948,475480,-1,-1,-1,372824,-1,-1,335511,-1,-1,-1,984851,83242,-1,918200,717612,-1,-1,-1,-1,548345,-1,37248,772000,-1,291137,610467,404618,-1,657049,-1,123193,754755,661334,219980,-1,890474,-1,-1,959652,161679,-1,636059,-1,-1,517456,-1,382572,852958,846361,878728,102829,-1,-1,-1,10327,-1,-1,220566,-1,-1,-1,-1,-1,-1,-1,-1,113210,-1,502125,-1,885384,481296,616310,339070,456859,-1,-1,273731,23237,171029,-1,-1,855965,615877,-1,-1,968955,813980,-1,-1,-1,244491,-1,567435,652210,-1,-1,987146,-1,58303,-1,444450,-1,-1,-1,-1,13508,-1,-1,85225,-1,219249,731563,-1,539143,415026,-1,-1,860057,-1,-1,421629,-1,348772,112088,170430,-1,-1,546954,263948,-1,-1,-1,764126,-1,-1,-1,-1,155534,-1,212771,67393,-1,-1,-1,396977,-1,658421,764673,-1,-1,82647,521339,-1,184686,-1,-1,456499,548584,-1,-1,-1,-1,744254,798655,829164,841531,-1,-1,-1,-1,-1,525520,-1,-1,706435,801546,-1,423268,-1,62476,129933,-1,88602,369404,842724,-1,-1,532131,208931,-1,-1,-1,-1,888780,-1,-1,-1,-1,764147,-1,-1,890989,437464,581158,-1,590470,-1,-1,548598,755619,687031,840765,-1,-1,686407,-1,512703,639266,825822,-1,255362,263966,262588,-1,-1,433522,-1,-1,-1,-1,152876,660811,-1,-1,678980,766299,367707,-1,-1,-1,-1,483622,-1,323442,376067,-1,705747,727880,-1,-1,-1,123968,140984,-1,887187,-1,195072,633430,651286,193715,-1,-1,653417,-1,-1,93489,-1,-1,541600,717531,603224,-1,519053,741606,346529,-1,-1,43562,-1,-1,-1,-1,541348,777523,-1,681437,-1,-1,941073,867210,-1,133263,-1,-1,580007,-1,978718,179392,540597,822819,422852,525373,-1,190922,261411,344516,-1,-1,712121,488082,963954,-1,704363,-1,507854,390331,-1,-1,385978,-1,909461,899969,-1,-1,217661,-1,320067,-1,712213,-1,-1,-1,441048,409864,-1,-1,622274,-1,-1,-1,357791,258910,280368,465359,-1,668760,-1,-1,145397,955853,654109,-1,-1,101977,-1,2202,-1,945723,-1,564449,222327,64289,582604,-1,5531,-1,-1,-1,-1,-1,-1,-1,-1,950097,630255,-1,860742,94737,-1,-1,752181,-1,463074,651162,-1,-1,-1,407416,97388,547194,-1,-1,497350,174619,-1,-1,-1,330021,105602,-1,-1,-1,508166,607984,-1,-1,205534,764632,-1,-1,-1,-1,113732,-1,-1,523007,114753,415245,-1,-1,-1,-1,360759,374458,234812,-1,612338,672381,601572,-1,209295,367075,-1,-1,686562,-1,788566,-1,746282,-1,-1,619635,-1,930101,551014,806643,848990,-1,-1,-1,-1,-1,-1,346214,750758,-1,971670,989193,507458,-1,-1,-1,-1,-1,-1,-1,348436,-1,824290,940194,-1,-1,-1,-1,132028,370525,669020,268764,-1,699136,-1,594135,-1,-1,-1,-1,-1,290975,-1,-1,962772,293679,-1,458454,-1,-1,-1,647789,562738,-1,103982,-1,8526,-1,-1,-1,222585,107273,-1,-1,671326,565492,637559,959703,-1,971879,980935,-1,256567,-1,-1,-1,557999,-1,-1,78364,590524,569992,-1,-1,-1,-1,336127,-1,343330,495643,122924,-1,-1,-1,372165,411091,785518,-1,280723,-1,-1,542599,240503,-1,104094,425149,317630,-1,-1,17731,-1,-1,987695,-1,504399,767635,-1,-1,975922,15108,-1,-1,994849,-1,925524,959719,-1,828093,742274,765476,178730,-1,253001,-1,734245,-1,-1,626234,547578,-1,182806,-1,-1,-1,-1,-1,-1,920531,-1,290920,-1,170860,-1,-1,959858,559724,-1,9336,330078,432077,31901,144410,656911,-1,562819,321944,550524,-1,-1,-1,905482,755990,-1,-1,728670,-1,-1,-1,333804,-1,-1,349697,-1,-1,-1,-1,223371,762483,-1,586257,-1,713775,-1,-1,20430,822439,386098,877332,-1,444582,-1,-1,286455,-1,-1,722546,-1,750279,-1,405255,165527,682469,-1,569949,-1,-1,-1,330743,-1,206338,665451,210852,-1,-1,208967,583404,591751,-1,469209,-1,400674,430490,808746,-1,-1,-1,-1,405495,682539,145047,273765,612340,586963,-1,-1,121218,595657,-1,-1,498700,88703,82013,159457,-1,587497,-1,-1,-1,-1,961931,460202,-1,-1,631373,831502,712833,213704,-1,819686,691816,-1,749544,-1,20441,-1,319971,79393,-1,-1,877417,-1,-1,5434,62782,-1,-1,31810,-1,46456,206660,-1,452518,276450,-1,-1,173843,912397,99723,382313,707091,-1,-1,24334,-1,-1,256704,923290,500687,607746,-1,-1,390829,840659,-1,-1,148405,-1,-1,-1,632721,560614,-1,693194,907286,438232,120115,815566,-1,555726,583413,-1,517363,-1,-1,-1,-1,-1,-1,371017,-1,762356,582592,485214,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,473444,641002,-1,967328,-1,183604,256563,685710,-1,-1,150898,705097,718932,-1,-1,306771,-1,-1,76731,232118,-1,86150,-1,-1,628620,-1,-1,766170,-1,659592,-1,-1,644223,270100,-1,-1,-1,64693,29137,628737,771909,309001,278622,488302,287952,-1,-1,-1,773860,278359,423597,117266,571472,-1,-1,-1,-1,-1,353396,-1,-1,-1,-1,-1,685199,-1,485996,206796,-1,415631,-1,898253,805584,111508,862804,-1,110471,302597,215367,419829,-1,-1,33492,783981,-1,427016,-1,515231,787936,385152,520276,-1,-1,923664,-1,171496,-1,-1,927030,-1,544398,-1,-1,808499,889321,989900,-1,-1,913141,-1,942266,-1,-1,-1,-1,-1,-1,-1,-1,973739,146909,625990,-1,-1,960300,-1,675089,625288,-1,224860,519240,890668,-1,747450,981978,-1,-1,149990,591260,-1,-1,-1,-1,803572,-1,642160,-1,47772,893207,-1,424220,875086,544288,-1,-1,-1,-1,262782,413644,-1,-1,547111,636432,-1,-1,917845,-1,-1,-1,-1,862485,857801,717496,-1,540353,962770,-1,-1,222636,424242,506118,676169,-1,878186,-1,-1,562223,904369,989164,652112,563049,-1,296144,-1,721758,66516,-1,333664,845884,-1,-1,-1,783668,-1,723353,382164,-1,33225,-1,748036,703569,453366,-1,-1,-1,358778,163996,649134,-1,327344,802677,-1,767570,-1,-1,67380,111553,187637,664683,291546,-1,-1,-1,-1,-1,897408,-1,-1,-1,385341,-1,801588,631030,-1,822032,-1,-1,446417,-1,336317,-1,767082,803410,878770,489744,-1,470569,-1,-1,-1,-1,121123,96311,-1,779485,-1,504364,100426,-1,906229,786845,-1,789864,-1,-1,-1,-1,987896,-1,-1,-1,781371,-1,-1,235418,-1,332281,-1,469775,-1,46731,637259,327747,116902,573812,-1,786556,-1,608508,-1,335092,-1,863528,-1,-1,-1,-1,961110,808501,314985,322618,-1,3295,347605,153338,871776,620085,832291,-1,-1,96782,-1,583487,836523,484101,284893,29686,295021,627489,275839,296291,-1,-1,12304,103597,240443,118436,813719,311752,-1,-1,11542,464692,-1,601963,-1,427527,811648,-1,-1,727169,-1,77564,769292,85447,329206,-1,-1,181575,56811,-1,213192,67220,-1,-1,-1,396827,-1,-1,-1,-1,908748,-1,697970,-1,472870,-1,460634,-1,-1,425333,41919,-1,-1,584009,-1,-1,564571,907021,817661,543238,167552,370067,863939,898030,-1,161555,-1,537258,989332,-1,-1,917859,-1,-1,222218,618238,422539,-1,843143,-1,-1,-1,645060,-1,-1,37638,-1,-1,357875,56501,-1,-1,-1,802786,46637,-1,79800,803791,630835,-1,61736,-1,80135,759799,-1,724678,832610,-1,775064,87260,719024,-1,163583,707088,-1,866733,-1,125576,-1,-1,301717,-1,-1,78509,113915,329632,-1,537819,108819,899372,-1,-1,567964,548277,963006,286806,504047,217004,-1,793393,825466,-1,856366,144638,-1,-1,862821,-1,-1,-1,-1,-1,-1,404672,-1,562527,158971,399355,-1,123937,103397,709769,-1,-1,341329,-1,82497,-1,910613,582342,-1,-1,378048,126757,312321,855734,-1,108469,-1,553103,-1,-1,-1,493362,-1,278973,-1,800879,-1,-1,65586,947119,137716,965606,-1,757549,-1,-1,958096,815496,-1,165158,-1,463630,805320,145528,-1,-1,517705,231420,-1,-1,-1,582790,407513,-1,32704,-1,175621,577157,199288,-1,766960,114052,159439,-1,-1,88542,-1,300245,-1,-1,78565,27905,524171,840017,-1,465717,-1,-1,641041,-1,152116,166267,-1,466712,164802,-1,-1,-1,-1,914375,-1,423149,-1,-1,25962,893669,620641,-1,440493,953684,349042,325730,368819,-1,-1,-1,754749,972663,561762,-1,384402,-1,-1,133758,57647,154975,704064,-1,960028,877491,-1,81556,-1,-1,151027,787766,788242,904119,380028,713513,87113,-1,691889,-1,-1,678346,-1,-1,-1,210389,123962,536812,586780,546569,-1,-1,-1,-1,243731,-1,-1,147890,-1,-1,-1,499407,-1,486472,-1,467188,-1,262932,775330,-1,929300,-1,32802,-1,-1,382510,-1,579277,-1,-1,590865,-1,-1,-1,-1,522188,315355,36265,-1,113270,-1,539440,865465,197067,-1,25635,491460,906624,-1,653910,-1,-1,-1,-1,283870,-1,12362,121462,-1,465372,121779,247571,-1,780578,881320,345031,-1,780496,-1,-1,865593,642362,-1,598050,129609,-1,-1,-1,896491,828773,-1,948662,66562,947892,729604,627292,-1,-1,358466,-1,469800,454695,336491,209145,383248,395429,-1,-1,88404,166651,-1,24479,-1,233956,469987,-1,450503,74444,-1,981451,-1,-1,-1,-1,-1,951772,83511,-1,-1,173032,99619,-1,978140,38249,44405,-1,246064,49108,563576,951041,-1,55119,425315,-1,893061,403237,261362,283959,-1,225501,328720,-1,275788,-1,76123,-1,538318,558935,-1,404130,352560,-1,46540,860483,-1,-1,-1,-1,515775,-1,-1,-1,864429,-1,530080,798978,378265,-1,310760,-1,181267,-1,633325,497236,770601,309318,-1,-1,-1,-1,946241,-1,-1,101683,470645,-1,-1,559439,-1,-1,856638,-1,415098,395856,-1,101360,-1,-1,-1,-1,-1,-1,-1,-1,-1,43533,-1,409580,650510,868955,336478,-1,373745,131946,-1,-1,-1,62051,981226,551292,931640,605322,-1,-1,404463,639860,797540,806223,414067,203184,-1,-1,108452,-1,698727,-1,273196,4331,851668,-1,-1,85950,-1,-1,993460,145881,866139,398501,-1,571500,297627,-1,185738,-1,-1,-1,465839,877796,655145,229792,-1,263548,-1,383367,651849,579776,738591,944240,-1,-1,-1,754317,-1,-1,-1,-1,340210,18644,531039,-1,151160,941900,-1,-1,-1,-1,-1,572323,606828,-1,215613,-1,742678,374027,957733,958017,-1,630929,-1,191016,370268,-1,-1,-1,838881,589923,480272,292531,-1,-1,-1,-1,458817,670957,776906,361138,224698,180736,75708,994045,-1,643232,-1,-1,-1,220385,706416,811355,-1,-1,-1,269756,128742,75536,467652,671773,-1,-1,68820,336572,316133,-1,-1,977214,-1,-1,-1,497475,191027,-1,632864,329061,104682,-1,241705,-1,-1,-1,82456,936607,218550,891476,988501,811149,317080,-1,-1,-1,-1,485587,-1,-1,-1,655980,835481,-1,-1,-1,160467,-1,-1,-1,-1,148198,-1,996071,11168,870855,-1,-1,784898,-1,-1,-1,-1,80934,24183,275314,440985,790015,217786,101427,-1,640937,16754,-1,-1,-1,-1,323371,365205,867060,-1,854115,-1,458914,-1,-1,926948,968214,434449,205277,731145,444666,841633,-1,-1,-1,342722,901373,-1,-1,801795,948454,374841,-1,536782,-1,729596,468989,-1,395114,-1,-1,242719,443378,969126,-1,-1,73652,731222,614870,142974,502219,133000,138132,-1,946054,809111,665100,679493,526752,97029,159061,190300,337787,99856,-1,896287,-1,-1,156944,-1,-1,451758,-1,-1,-1,175791,-1,-1,95235,14689,-1,96227,-1,-1,32828,-1,594008,378466,643521,-1,-1,325436,-1,558728,475483,-1,-1,-1,-1,899231,-1,962590,-1,-1,-1,57231,-1,375004,-1,410887,-1,-1,70251,-1,901862,-1,271440,-1,333959,886940,723197,-1,-1,761099,531781,495964,586040,113800,-1,140172,782844,-1,-1,333460,843114,-1,-1,-1,-1,832915,252388,-1,-1,109067,696657,28762,570303,390255,-1,735110,-1,480802,685347,902155,82741,-1,259620,938392,-1,-1,-1,-1,-1,361707,260116,-1,-1,570963,-1,-1,-1,-1,-1,256210,-1,-1,-1,-1,-1,717442,510699,145672,517210,-1,-1,474344,-1,-1,545132,891305,534686,-1,537214,784302,-1,39256,-1,545664,-1,-1,-1,907164,320458,668337,-1,-1,219112,-1,177038,936600,-1,-1,91059,-1,834337,665901,-1,657812,931198,225213,472376,576175,-1,-1,-1,118978,-1,524966,-1,-1,-1,-1,-1,693786,-1,-1,780218,-1,882575,-1,-1,436301,-1,-1,-1,-1,283100,-1,-1,-1,637269,732347,431757,751357,-1,-1,-1,977218,564918,-1,-1,486356,174745,-1,-1,-1,224134,647686,74425,-1,-1,-1,722668,-1,-1,-1,435318,-1,121505,-1,-1,155277,627926,396415,765412,-1,-1,-1,358046,802308,846404,-1,494080,-1,-1,210599,448807,-1,622306,136208,458661,985518,-1,-1,420311,547082,-1,-1,-1,655736,376740,-1,-1,333031,85533,904233,-1,-1,-1,-1,881730,185099,305780,896559,-1,-1,414286,-1,-1,-1,707467,27077,-1,-1,-1,972015,914744,-1,-1,915352,453682,-1,96183,511642,-1,-1,500219,579139,995440,866614,-1,-1,-1,-1,-1,-1,945389,-1,136611,-1,-1,-1,-1,891300,-1,138900,-1,-1,-1,-1,958743,-1,241908,158607,-1,-1,332668,-1,610998,361574,-1,409683,-1,407776,16950,45198,860012,776878,-1,607053,-1,-1,-1,637300,219579,-1,-1,-1,-1,-1,913683,115086,-1,-1,-1,29065,-1,-1,-1,111171,-1,366325,-1,-1,-1,-1,-1,-1,-1,-1,-1,150259,368315,-1,-1,-1,240954,890422,-1,-1,-1,-1,321797,631820,546375,-1,591208,184965,6801,627065,-1,646961,742095,644724,513239,-1,881404,14624,-1,546029,-1,869430,-1,293232,930644,-1,826369,909661,408850,-1,-1,-1,-1,491324,462747,-1,889009,-1,438886,-1,848379,-1,133490,552205,258296,-1,517613,932640,49235,-1,497281,420046,103657,686597,306780,205480,-1,-1,565848,807259,514213,-1,431527,780922,-1,984579,-1,-1,-1,619566,-1,958140,-1,-1,-1,21899,761960,866214,-1,-1,205146,570816,-1,282302,836224,269870,46496,-1,201711,550273,638488,-1,-1,589705,-1,-1,-1,-1,-1,688406,687617,-1,-1,600655,-1,-1,430167,-1,407244,610307,-1,-1,-1,200073,7831,665581,147772,-1,627235,-1,165994,701502,-1,218027,-1,-1,-1,-1,360371,-1,-1,-1,181279,750514,-1,40553,537104,862860,877162,209849,110899,-1,-1,-1,94600,-1,-1,202705,438849,984599,412603,640080,-1,193308,-1,998710,252194,860616,-1,930934,-1,-1,-1,-1,326405,193915,261310,-1,672260,85843,-1,-1,-1,538733,-1,-1,-1,411547,833719,-1,714652,801776,-1,682300,711337,-1,403887,-1,31751,-1,-1,690755,396514,745202,-1,209019,894056,117190,496439,999559,11352,289642,962531,-1,-1,464527,197836,924207,886731,497180,-1,-1,651284,-1,-1,-1,629518,35839,220891,227896,646470,208071,413205,555357,507100,-1,145280,136224,-1,587329,830588,33469,-1,845801,316630,-1,594579,-1,686440,105087,438676,-1,-1,-1,977011,593863,-1,981569,-1,-1,-1,-1,-1,-1,748637,-1,881407,-1,-1,896914,-1,-1,108265,792271,165186,651783,424571,169290,-1,931638,39242,111206,-1,-1,-1,-1,20778,-1,678230,-1,175966,-1,342813,501256,88657,634006,-1,187353,424271,691567,-1,-1,-1,739241,-1,-1,192147,703849,961111,748426,69687,49887,-1,-1,877715,-1,618054,-1,-1,186204,959655,974326,987585,466929,872776,842939,835082,193259,-1,-1,236458,-1,-1,-1,-1,944942,-1,267453,15718,-1,-1,580711,651104,897729,-1,6407,161871,-1,-1,900507,-1,693531,754617,-1,-1,316201,518871,-1,-1,-1,699875,-1,-1,695215,93856,657211,839828,-1,-1,451503,-1,-1,198820,221022,544904,288501,-1,485532,-1,526123,726934,744505,-1,938067,-1,474810,703746,-1,-1,397877,-1,-1,613672,614714,-1,-1,209483,619344,-1,750070,-1,-1,-1,530203,-1,-1,-1,-1,655348,-1,742600,-1,-1,-1,-1,324947,-1,346904,739707,247936,-1,514090,184921,532590,910685,101899,-1,317076,224491,-1,-1,-1,203146,-1,-1,-1,-1,-1,-1,595651,-1,-1,872608,659349,-1,-1,-1,-1,252902,-1,660293,974770,-1,-1,421927,166659,-1,-1,585870,217746,286079,650915,-1,827579,405449,291739,236575,-1,-1,-1,819687,-1,387880,-1,553668,-1,-1,-1,535328,-1,877291,832389,783805,319536,6967,-1,-1,343308,-1,949863,-1,-1,-1,245897,-1,734902,298977,-1,293498,693082,182177,-1,349082,-1,160823,-1,242192,-1,-1,46960,-1,713843,-1,471298,360626,-1,-1,692568,361828,-1,-1,-1,-1,-1,-1,319405,-1,523707,306199,971824,917714,201904,789968,174209,-1,287647,348011,-1,-1,283438,-1,-1,-1,2980,-1,593158,28894,-1,-1,397934,832882,-1,717804,-1,648484,-1,278090,-1,794831,134569,475833,72265,601622,611693,217079,123909,133868,599468,39683,207945,-1,787951,486145,872958,965521,-1,-1,235320,174094,-1,928128,569128,373390,-1,-1,-1,935667,-1,-1,-1,-1,794485,219349,-1,611746,239725,117805,-1,941222,-1,488894,-1,165998,-1,-1,915662,-1,-1,623681,359238,-1,437726,-1,-1,-1,710868,79116,-1,-1,-1,117665,815958,714845,-1,451789,207943,687672,607874,-1,713740,411160,-1,-1,123586,-1,730405,-1,-1,-1,828440,-1,72251,98611,39266,-1,-1,-1,447127,-1,-1,935694,-1,-1,15976,910337,-1,365430,-1,-1,878430,274678,-1,-1,-1,522209,-1,769458,-1,-1,426452,207473,-1,499793,-1,-1,616140,801559,580780,-1,-1,-1,179131,224544,947424,-1,674159,-1,-1,-1,652262,743869,-1,667021,-1,-1,371461,502785,-1,-1,-1,-1,-1,-1,-1,834843,-1,292136,-1,-1,-1,-1,-1,181184,910817,-1,3750,-1,141236,-1,994433,-1,216462,-1,-1,362395,-1,-1,-1,-1,759798,-1,905468,655927,-1,-1,831544,-1,932477,93382,445218,-1,659252,-1,630261,293871,-1,537721,-1,-1,404177,-1,870779,-1,-1,-1,-1,-1,11776,249131,872174,628949,843820,362431,-1,-1,1817,-1,156819,61088,131709,388919,976701,-1,253703,24621,914596,416023,662231,505123,-1,-1,86325,189122,984462,-1,304788,-1,259617,922242,874633,542807,-1,346541,377795,243405,561552,-1,564375,694565,882936,41995,100548,-1,-1,759456,305328,77182,555155,-1,34816,-1,-1,-1,-1,-1,-1,-1,542376,405480,-1,490384,-1,336256,-1,-1,611249,-1,-1,-1,449174,779472,211821,325406,-1,-1,360945,-1,-1,787827,972642,-1,688426,797155,-1,-1,939292,489420,948585,360580,453733,-1,108920,159018,278614,205354,-1,412250,938441,192420,665810,-1,34750,341265,858777,259408,912465,1113,691708,-1,632270,785108,533587,-1,-1,-1,-1,-1,-1,-1,-1,379714,529728,405625,-1,392512,-1,546865,-1,-1,372554,-1,-1,-1,-1,-1,-1,667555,112127,-1,-1,-1,712042,-1,561065,383567,-1,-1,-1,-1,603287,-1,66254,-1,344550,-1,-1,233334,840582,-1,-1,-1,-1,295873,256596,794642,-1,-1,-1,101279,-1,-1,495302,-1,-1,673514,733805,179018,-1,984600,-1,-1,-1,-1,45901,444787,-1,70755,-1,69003,-1,942587,-1,820687,-1,-1,662916,-1,992467,710896,-1,-1,184676,481732,451284,-1,488509,-1,-1,-1,-1,123985,-1,-1,-1,123457,970115,-1,673692,7350,-1,526390,525115,683280,491713,343502,426727,73883,249589,-1,319981,-1,201936,-1,739038,-1,-1,881322,282656,-1,-1,-1,155483,399341,609115,387088,-1,946972,178620,953852,292641,95641,670133,-1,-1,790661,-1,-1,421322,60912,405122,307898,-1,780599,393209,-1,962213,804115,-1,479902,189317,-1,-1,-1,-1,953465,805588,569769,697807,-1,-1,699107,981027,999456,132457,-1,10385,-1,174065,-1,335247,-1,393970,377313,711443,57751,-1,-1,-1,13468,104689,-1,-1,-1,-1,-1,-1,842676,-1,-1,36742,179122,-1,-1,-1,-1,-1,713630,835766,-1,-1,635038,153232,893231,-1,-1,-1,15136,677717,-1,437059,790619,-1,-1,642666,741584,837161,-1,395357,287436,505333,721578,-1,-1,249844,-1,596706,15640,410341,-1,58496,882107,-1,32312,-1,-1,784490,-1,-1,-1,-1,-1,-1,704332,760414,-1,783655,950975,8892,-1,-1,-1,-1,984160,-1,657935,-1,468929,763465,776130,699880,879405,453726,-1,-1,-1,74839,-1,-1,698406,776237,754276,689693,-1,981502,623706,809459,-1,-1,871209,-1,-1,-1,-1,-1,767782,845475,554123,-1,176710,253084,136697,-1,665842,-1,-1,448385,-1,982756,894763,-1,-1,-1,-1,175670,749434,-1,-1,-1,224077,578589,-1,-1,-1,-1,-1,-1,311391,328434,187332,109457,412630,-1,329778,-1,239774,-1,313912,960418,425294,292185,790161,220218,743262,-1,-1,264071,240558,-1,-1,763860,453405,439033,623264,-1,-1,-1,745758,443282,475905,344122,944138,-1,245996,906025,399687,-1,979235,259012,39136,368862,-1,-1,345567,470190,-1,675294,-1,469084,25003,486162,71567,814471,-1,-1,604443,194019,179319,630082,714069,956413,-1,-1,824904,-1,-1,-1,878780,-1,-1,539731,374894,-1,551816,-1,948016,-1,-1,-1,-1,281898,-1,-1,766569,-1,-1,111524,418445,-1,475718,686990,351069,654457,-1,820849,849782,310231,-1,-1,-1,434617,-1,-1,6386,-1,743817,-1,913530,-1,984475,44991,443434,684399,190574,-1,-1,315550,556664,850325,-1,-1,-1,148009,232486,-1,165850,631973,-1,389016,-1,687819,475395,-1,-1,-1,526199,139842,-1,736423,533856,-1,348261,151613,-1,-1,-1,105109,443530,686684,-1,-1,-1,132014,-1,124715,-1,468659,635238,855151,865165,-1,-1,-1,-1,690821,-1,-1,-1,695729,121756,238257,992515,222175,279775,185438,-1,233509,-1,290212,-1,478090,452953,63205,-1,-1,510825,-1,-1,937312,-1,829417,989091,305556,587045,-1,-1,807740,-1,-1,772068,-1,230159,883794,973754,-1,337876,-1,994628,-1,-1,238967,318044,-1,365234,625185,-1,519033,263403,236585,-1,-1,-1,-1,88956,-1,173606,-1,-1,-1,805260,642879,450380,-1,225215,-1,-1,-1,954119,-1,-1,378983,334941,-1,528062,868902,211562,103339,-1,-1,-1,637730,597901,-1,652931,355814,419495,-1,542812,25206,496375,281510,-1,442510,-1,-1,-1,666236,929617,306781,-1,546614,133023,476904,381976,324944,311472,332177,811044,-1,144208,206552,946515,-1,-1,-1,-1,153247,-1,-1,-1,403875,-1,494991,60224,444130,-1,-1,939427,-1,392108,-1,183420,452830,-1,-1,-1,-1,165815,331361,-1,674915,102553,257674,-1,992104,-1,-1,-1,575261,761924,139039,663154,-1,657158,-1,649583,974840,223776,578018,-1,499800,-1,-1,322684,693904,-1,-1,645246,-1,-1,742762,-1,-1,33445,-1,931965,295341,267458,-1,645634,-1,-1,894599,-1,-1,44339,776971,-1,-1,30006,-1,567239,620544,89902,-1,282798,-1,-1,-1,-1,185535,219221,492845,-1,498873,754622,134232,85885,558931,723198,-1,-1,-1,-1,56835,580521,822059,-1,-1,118097,384066,347295,218678,-1,-1,467366,-1,192948,-1,270351,-1,235668,-1,757281,749001,-1,429321,97894,-1,-1,-1,186151,-1,-1,568034,-1,-1,-1,299837,214339,248729,891336,-1,492767,290386,-1,902674,-1,-1,48095,-1,382677,-1,-1,628973,-1,938780,43007,-1,-1,-1,859713,-1,-1,-1,230179,242079,-1,-1,237030,532980,-1,-1,848198,-1,276517,134577,-1,583279,-1,-1,-1,35203,-1,39337,-1,-1,882819,911398,222652,-1,-1,995787,728408,-1,164220,-1,-1,248377,592609,224117,857344,-1,821127,43460,913200,-1,-1,-1,10046,243949,62169,527985,-1,-1,-1,862608,-1,-1,-1,219921,591509,-1,804680,260176,-1,-1,953795,-1,943720,-1,-1,-1,396933,-1,556862,646835,770250,-1,-1,166842,2536,-1,51938,13540,-1,252077,610097,-1,846033,631843,433347,446952,39440,832056,-1,734804,-1,263133,292704,788063,-1,-1,585392,-1,-1,762202,830971,-1,-1,-1,607433,187186,-1,991655,885033,611084,840113,-1,-1,618248,-1,-1,-1,323183,606836,-1,-1,-1,-1,-1,-1,-1,-1,615322,358831,-1,583131,464946,-1,-1,-1,-1,-1,717613,171619,-1,-1,765950,-1,-1,-1,481243,-1,5119,-1,599912,596408,-1,452463,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,468789,-1,-1,342009,-1,-1,614434,-1,-1,-1,-1,85131,936232,149372,725045,-1,-1,255542,38622,517916,363710,943104,-1,-1,-1,-1,-1,-1,551560,-1,-1,566502,575995,252131,-1,-1,-1,975534,-1,-1,180920,-1,-1,295600,573748,-1,-1,-1,247664,-1,429754,692033,-1,558032,976850,918585,846392,906944,-1,-1,-1,-1,-1,936188,-1,797361,883615,-1,604805,-1,-1,25053,275644,314996,-1,-1,950837,911023,867413,338169,422643,-1,308087,-1,536720,-1,-1,-1,820662,-1,982174,706706,-1,910625,-1,-1,97107,565331,-1,389049,843616,368384,920844,199866,-1,-1,-1,241478,-1,550169,297725,575237,-1,389022,-1,-1,-1,131670,427699,316796,843577,-1,-1,9383,-1,-1,497422,711825,-1,-1,345092,-1,-1,-1,529702,622817,-1,538655,519425,-1,-1,-1,-1,-1,-1,774032,-1,193053,-1,539722,-1,101370,150694,-1,72740,668194,186412,252505,-1,750622,-1,-1,920212,727734,910866,37865,27029,-1,-1,850600,-1,-1,-1,-1,-1,571665,917734,318931,186062,809893,170247,-1,71285,250911,51970,-1,79499,-1,314141,679734,254741,-1,-1,-1,-1,128931,-1,-1,-1,-1,252290,327322,499413,-1,-1,375368,-1,138793,820508,-1,-1,958081,167287,-1,-1,414548,-1,198260,485027,57888,-1,-1,-1,-1,904924,175870,715874,842450,-1,-1,896128,-1,557765,484175,-1,-1,-1,394669,877209,-1,-1,-1,961978,-1,150548,-1,401936,385908,849917,306181,578625,937153,-1,-1,177238,441761,211520,139947,653195,109947,904406,382342,-1,919458,481297,-1,-1,-1,593921,885739,180204,-1,544578,-1,723276,-1,-1,171933,-1,626285,-1,762612,360703,113883,647907,-1,220722,873554,-1,-1,-1,-1,-1,690708,-1,908268,567716,-1,163681,-1,-1,607585,582566,203562,-1,-1,570766,-1,836683,-1,900826,30279,645579,-1,-1,348345,-1,-1,-1,703131,581927,-1,459810,336104,732381,394099,-1,-1,866349,709597,431711,345876,-1,-1,121213,-1,-1,-1,-1,-1,-1,254109,-1,175174,-1,-1,-1,-1,-1,140472,-1,94282,652415,-1,-1,36023,206688,-1,-1,753889,652115,-1,-1,59969,370482,475496,358917,877867,207981,496919,-1,963341,-1,-1,209421,752850,-1,154792,263357,-1,819281,827210,680374,-1,-1,807141,818240,-1,538493,-1,-1,-1,-1,-1,96259,-1,-1,644633,498999,660019,675418,-1,451461,200946,613306,-1,842025,520338,889777,152336,696049,510667,637785,201351,703928,-1,174982,348853,900339,-1,983872,-1,420802,86139,-1,-1,325734,-1,750495,-1,-1,191453,307043,573613,-1,-1,-1,550153,689251,-1,-1,-1,-1,2903,6096,680297,-1,-1,-1,846278,440552,-1,-1,-1,929569,-1,-1,-1,-1,-1,389496,-1,-1,14650,884763,-1,-1,-1,707201,-1,700114,705905,349897,269881,-1,-1,712092,559089,-1,484416,660139,292657,-1,-1,163321,-1,-1,-1,-1,-1,176005,428816,-1,-1,-1,928855,-1,-1,589028,346650,-1,374025,657147,-1,48952,-1,-1,-1,-1,922761,-1,-1,-1,-1,-1,307848,525027,-1,-1,-1,-1,-1,-1,-1,474276,-1,-1,12654,709110,-1,391946,-1,932335,229110,-1,-1,148307,-1,188946,904544,-1,898588,-1,-1,932693,960908,-1,-1,503513,859912,702435,-1,624223,-1,607285,435582,196240,87168,696553,-1,542720,615559,839469,-1,-1,34332,-1,804727,-1,623955,-1,-1,-1,180452,645995,-1,460215,-1,-1,-1,785263,688745,-1,-1,-1,713159,-1,677665,710460,-1,-1,-1,-1,31529,119476,963628,-1,-1,-1,-1,-1,-1,815333,610570,107460,-1,587230,-1,295414,775956,-1,205950,-1,861909,-1,865158,21143,412948,100570,414553,-1,-1,495598,-1,513773,-1,515386,314095,679851,-1,616924,-1,20832,494012,-1,-1,380649,473014,-1,-1,-1,777462,556831,540890,-1,-1,712680,-1,73663,222198,-1,-1,-1,959909,-1,375147,893111,-1,56338,847858,-1,-1,-1,-1,753458,409003,456798,96093,-1,-1,-1,-1,-1,-1,708327,753607,-1,-1,-1,786897,210810,329155,-1,-1,359329,-1,206000,785162,-1,-1,-1,852707,874313,-1,662698,630431,-1,-1,146236,288787,-1,915920,181850,894102,900731,-1,-1,160727,-1,542018,-1,331923,-1,-1,-1,425195,656013,-1,-1,99535,-1,-1,-1,-1,596550,-1,933722,-1,-1,-1,-1,-1,-1,916157,105640,941550,142345,-1,935237,-1,422282,-1,-1,-1,-1,-1,-1,535556,127986,676541,-1,-1,964866,-1,245691,-1,-1,775671,695567,-1,-1,-1,-1,16767,598332,-1,18534,-1,-1,984030,-1,-1,-1,698189,373825,171599,882882,-1,-1,-1,-1,-1,-1,-1,-1,-1,386258,-1,655761,-1,-1,-1,116379,290553,-1,230070,-1,11285,-1,-1,396172,-1,898157,-1,-1,-1,852214,-1,-1,777975,809834,-1,-1,95635,-1,986474,-1,-1,697525,-1,544958,-1,893035,774107,-1,-1,666270,830668,847424,-1,-1,411792,-1,-1,-1,823431,87857,-1,-1,980986,-1,597567,600462,734025,-1,-1,-1,962453,696386,-1,-1,627774,-1,-1,136516,49805,-1,826237,661686,-1,-1,-1,-1,-1,266208,206299,564526,-1,514549,-1,99101,-1,-1,-1,-1,-1,-1,-1,-1,564482,312007,504916,789817,-1,693817,960643,350822,381464,659636,501255,-1,357861,-1,71781,205230,-1,-1,-1,-1,-1,703132,-1,980250,-1,344824,745241,832934,-1,396745,26155,28529,-1,-1,-1,-1,300325,783051,-1,752354,788639,-1,567023,-1,851373,-1,118727,-1,435441,-1,9143,730678,-1,233781,618600,964378,766062,938444,-1,-1,-1,-1,420430,-1,790913,236592,-1,970648,327418,-1,-1,36601,-1,746624,748384,604168,291209,-1,329247,-1,-1,-1,-1,-1,720745,-1,-1,-1,933187,614266,-1,-1,751165,89570,-1,-1,-1,152589,-1,277437,-1,734992,825899,-1,513129,-1,203583,485811,-1,486745,-1,80953,-1,-1,785783,929463,-1,911904,-1,-1,-1,68349,-1,-1,67818,713988,-1,-1,-1,-1,702379,-1,-1,851661,-1,788107,798441,440435,-1,924617,180837,810535,-1,203408,-1,-1,928644,748101,626490,-1,254162,-1,11150,38453,-1,185564,731598,721558,763920,691405,-1,788767,570629,-1,-1,-1,-1,971148,-1,-1,170967,610322,-1,-1,-1,-1,735941,941856,-1,878184,936510,-1,-1,213767,-1,-1,504505,-1,-1,406820,279641,801755,-1,953703,437158,-1,548535,-1,817055,-1,-1,-1,27936,542168,337662,-1,-1,589092,-1,810651,-1,-1,-1,-1,-1,63153,-1,-1,131679,-1,90931,961290,624766,618388,-1,-1,-1,-1,-1,464208,-1,-1,-1,554250,707325,43808,751403,138844,196475,-1,683058,-1,483819,928408,-1,120742,-1,616053,-1,-1,408130,-1,-1,594446,199768,-1,333857,996753,-1,201513,882714,334982,860871,423024,35088,-1,13584,447970,-1,971771,-1,857664,-1,461184,-1,-1,226280,970748,-1,872909,-1,372432,-1,-1,-1,625243,-1,912349,-1,-1,-1,892949,-1,-1,-1,338079,-1,-1,419856,639837,194180,-1,-1,-1,546625,-1,-1,-1,-1,-1,533886,729820,791646,-1,694041,643533,-1,-1,332453,-1,-1,66990,483697,647293,789893,27396,-1,320307,173857,770506,475634,-1,-1,-1,-1,-1,-1,-1,760342,66463,-1,70201,575031,-1,-1,-1,-1,-1,114181,623001,-1,-1,-1,988263,95239,934752,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,529459,-1,62663,504499,-1,-1,249423,335762,-1,251785,253886,-1,-1,583549,818823,84518,-1,-1,591692,-1,495838,128793,309855,-1,846184,-1,-1,98152,213912,-1,452611,-1,192560,-1,114271,348506,-1,803981,-1,-1,-1,-1,180773,-1,893208,-1,-1,-1,-1,854016,-1,607783,-1,991313,-1,-1,974830,-1,-1,-1,177816,-1,8524,-1,821601,-1,60134,-1,622453,-1,-1,-1,345152,-1,-1,-1,260644,-1,-1,660624,-1,740091,552340,75624,867435,-1,838463,304200,600245,-1,798211,-1,578576,213325,-1,-1,-1,595983,215041,520119,-1,-1,-1,-1,782938,565787,-1,-1,-1,260554,-1,-1,-1,-1,-1,90855,572580,191800,-1,380474,-1,953015,108128,-1,607502,-1,320323,812293,461878,871773,-1,436236,-1,-1,514532,729736,-1,-1,-1,823499,-1,308808,602166,211737,233975,-1,727055,560636,11495,941528,356838,-1,-1,-1,131151,973919,127571,-1,-1,-1,436177,838172,-1,417415,267634,-1,-1,428047,-1,-1,-1,-1,493705,945122,167376,-1,-1,421165,-1,477423,375300,-1,-1,559783,-1,453594,17710,62920,82954,811062,-1,-1,935583,-1,716872,-1,138164,-1,70162,641981,13898,-1,-1,-1,473868,-1,-1,-1,293181,253077,-1,-1,-1,163107,234667,290853,558233,-1,-1,-1,296843,-1,-1,129567,-1,-1,958895,245173,304192,124759,-1,-1,-1,-1,6195,571814,98870,-1,-1,372972,-1,-1,-1,523610,628536,-1,886302,513792,194290,-1,440150,-1,268283,-1,-1,170789,-1,-1,-1,-1,-1,-1,371366,-1,-1,821008,-1,721753,-1,-1,-1,-1,-1,480502,-1,352100,450607,411731,-1,430752,943545,28542,-1,101553,-1,172804,-1,502207,-1,-1,423858,-1,-1,623922,-1,227334,486282,51427,-1,-1,-1,-1,990973,133429,881344,-1,520720,722016,155140,230735,-1,-1,-1,910724,-1,260423,-1,760208,-1,-1,865097,669836,53224,965066,-1,432485,-1,77378,729068,-1,347428,649211,464416,-1,916660,236517,-1,566697,812857,-1,-1,-1,-1,848490,360362,365858,656258,479947,342735,-1,346167,-1,241674,95347,335544,322814,208753,-1,-1,-1,745019,573016,343867,-1,556291,-1,395868,685877,-1,742032,819508,162519,-1,708912,309332,225859,273312,151159,-1,-1,-1,-1,962540,863038,-1,712652,-1,-1,117551,640230,104723,822119,-1,673679,-1,-1,268324,-1,514003,-1,-1,340461,879744,-1,620710,461034,101654,726438,108383,861084,-1,-1,51208,945617,-1,114739,-1,831351,428828,-1,-1,-1,704162,-1,-1,160646,-1,5509,-1,63631,837511,624581,-1,-1,309289,893655,-1,840728,-1,-1,539006,971236,-1,862850,132307,64595,-1,173854,-1,-1,463989,-1,-1,-1,419516,49671,12716,795047,949054,-1,-1,779262,761385,-1,725968,726258,-1,995483,543093,-1,-1,273400,-1,182059,-1,935892,-1,817505,899565,-1,-1,192584,-1,684932,506076,775484,748086,646190,810227,863100,-1,537326,95269,320748,653287,199496,-1,-1,-1,-1,200293,483275,93060,-1,107732,-1,-1,-1,-1,823318,-1,161191,-1,530494,-1,-1,-1,-1,171957,851550,-1,-1,-1,-1,772510,-1,893428,-1,-1,-1,-1,58363,-1,-1,309716,-1,-1,-1,-1,239644,409434,-1,133667,252235,-1,-1,-1,427611,335082,240554,-1,-1,-1,911163,34031,480182,-1,146992,254924,-1,474753,573245,-1,-1,180260,826189,815390,502740,-1,119263,916828,469578,-1,-1,-1,741992,-1,-1,-1,791236,292076,3964,87449,166796,-1,-1,573021,-1,183293,-1,-1,144415,-1,428739,460608,-1,-1,-1,465537,509831,698905,803601,349168,-1,-1,330402,-1,-1,690727,268670,-1,636319,-1,319298,-1,65790,-1,299555,-1,905129,-1,-1,657004,-1,946651,-1,-1,-1,940635,123192,917035,76557,-1,465926,638455,-1,704367,540584,479433,-1,311995,773793,213607,763161,280534,994466,-1,689240,452839,284338,-1,752324,572119,530226,869792,182673,967549,518403,-1,100162,-1,-1,637894,-1,-1,-1,-1,927108,-1,-1,560260,679628,-1,428162,-1,-1,838539,786958,-1,383340,-1,60151,467546,-1,180777,550183,822959,952659,-1,866812,-1,352608,-1,976255,-1,-1,901608,-1,-1,657134,9389,360414,531717,-1,-1,728726,-1,-1,566199,-1,-1,-1,921768,296569,-1,-1,647978,-1,-1,243227,184984,-1,-1,440934,849286,-1,830579,275519,-1,-1,-1,-1,880524,-1,-1,214920,-1,-1,244159,772739,-1,834022,131731,767188,285268,-1,-1,231129,-1,-1,-1,-1,221611,76754,-1,-1,-1,-1,759452,-1,659269,-1,-1,-1,313970,463567,-1,-1,224678,-1,-1,-1,-1,868267,-1,21007,-1,-1,484710,976940,260413,704087,478059,79877,677787,-1,906209,990246,809143,-1,-1,459755,-1,154653,-1,978375,881410,756038,561532,339090,-1,-1,-1,233561,823159,-1,-1,-1,999642,-1,443541,970384,550396,-1,548299,-1,-1,-1,224266,-1,186145,840390,-1,289825,-1,469781,-1,654080,-1,297477,-1,-1,-1,964086,-1,-1,-1,580424,-1,684427,87302,419374,-1,-1,187220,789537,-1,365374,-1,-1,-1,74246,809886,-1,337906,858070,-1,-1,-1,820755,-1,-1,209463,878505,-1,-1,7395,-1,109239,957253,453292,-1,-1,-1,-1,47460,-1,-1,657963,889209,-1,-1,-1,-1,24155,782084,-1,-1,407593,-1,238523,917531,-1,-1,-1,-1,487707,-1,-1,-1,837130,-1,541747,301757,755957,99409,-1,831577,-1,-1,-1,497522,-1,-1,-1,432044,713444,528181,-1,519763,-1,279367,978307,400448,207953,700621,-1,942047,133956,259075,617096,52096,958164,-1,-1,635934,883913,-1,916224,-1,278500,-1,679487,-1,579350,-1,-1,-1,-1,140292,794271,-1,-1,-1,25013,510881,409085,315057,-1,-1,-1,473922,-1,980609,952608,-1,639728,927073,810445,-1,-1,-1,-1,-1,454488,-1,-1,-1,704620,-1,-1,-1,432181,-1,864824,531897,-1,111510,-1,96038,-1,200153,-1,-1,678981,147370,-1,178599,-1,822555,43053,-1,-1,839365,666635,480319,481850,614579,200716,536603,-1,-1,122361,457434,440413,461189,-1,874017,947848,-1,582778,261886,-1,636451,364089,163221,750251,874312,538105,745224,414927,633220,270367,584146,-1,847039,177616,-1,-1,-1,492624,326821,563889,954029,754110,-1,987208,13864,-1,-1,-1,-1,112433,543517,-1,917270,666491,764660,-1,-1,-1,949914,-1,-1,631577,927577,-1,-1,-1,-1,-1,535827,-1,522042,-1,450480,522404,703060,795032,-1,597169,730775,465258,962121,242100,397221,98542,-1,-1,-1,76595,-1,271830,-1,639249,-1,327207,-1,810141,95411,982047,-1,127668,346845,941064,-1,637869,453562,189942,-1,149245,-1,-1,528090,-1,136494,-1,-1,-1,544564,-1,-1,-1,474351,-1,-1,334877,953638,-1,29072,-1,989304,900957,998063,-1,-1,455857,72493,-1,-1,-1,-1,-1,367214,-1,-1,495478,907464,863713,-1,778547,955504,768046,-1,70614,528185,-1,637247,-1,732468,-1,458990,805902,839635,699394,-1,-1,-1,-1,346493,-1,-1,662961,787114,-1,626513,554723,-1,600384,304982,-1,-1,900568,499367,-1,-1,-1,-1,390484,947701,213310,-1,-1,261177,322990,257631,-1,-1,-1,862161,885225,865458,105036,-1,-1,261015,763692,19358,247037,-1,564560,-1,367568,491001,445291,167800,-1,881831,-1,610518,502585,589984,370055,-1,-1,-1,959492,216213,9289,-1,-1,801350,552224,810652,-1,-1,982615,-1,-1,-1,-1,-1,339125,-1,22503,-1,-1,523823,-1,-1,-1,-1,298489,64334,-1,-1,-1,201637,-1,-1,-1,-1,-1,-1,547456,-1,545524,491261,-1,886317,598407,273913,735703,-1,506272,657496,713267,367280,406954,267547,-1,905715,-1,-1,-1,58568,233843,-1,-1,139494,-1,172932,-1,838072,942503,474728,837582,167294,694829,-1,-1,17258,346056,-1,318779,960825,-1,-1,-1,-1,-1,911638,-1,-1,-1,-1,-1,844503,322785,-1,-1,-1,-1,-1,-1,-1,-1,31003,-1,135205,311002,-1,-1,771902,-1,230980,823137,670601,-1,-1,704753,-1,965401,-1,-1,-1,38109,213318,-1,-1,72398,924276,-1,-1,565460,537018,315728,-1,569726,-1,969268,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,660780,69639,723868,-1,-1,-1,645889,-1,-1,-1,632068,-1,-1,-1,465220,565624,996343,993209,218886,-1,144748,31377,16265,-1,-1,671925,399403,109635,265400,758306,-1,609110,-1,-1,311868,462677,-1,258406,352130,801826,-1,574130,254513,158302,-1,-1,676367,-1,594461,47413,257632,-1,685833,539953,281456,166362,86444,109358,-1,778871,-1,-1,753042,-1,817770,757572,-1,171100,387728,-1,-1,-1,-1,-1,-1,163852,813800,150386,306356,120953,-1,807250,614590,-1,122255,-1,-1,333184,295991,178566,331052,-1,-1,-1,-1,-1,-1,-1,-1,-1,72345,-1,-1,840382,51903,468141,512414,-1,873762,-1,285418,-1,982175,495855,-1,573915,-1,-1,-1,283903,200980,-1,693506,-1,152378,474247,-1,692038,-1,975618,-1,-1,-1,-1,821277,-1,-1,874524,353412,787578,-1,-1,-1,552607,-1,440142,-1,-1,-1,-1,739624,734175,824747,34180,-1,775658,-1,351775,-1,-1,757903,934335,300901,-1,-1,-1,-1,-1,-1,-1,-1,510633,595394,-1,-1,-1,308977,670964,488398,-1,-1,-1,-1,-1,-1,440250,691926,616497,-1,827296,-1,398559,-1,163037,-1,-1,206141,498272,71641,-1,13218,279181,457953,869230,927504,232903,-1,736071,654956,631005,573321,836071,-1,493228,95020,-1,-1,-1,-1,374295,987776,787721,246478,933150,791916,636155,-1,-1,152957,-1,94971,-1,-1,-1,578588,-1,-1,-1,-1,-1,697903,-1,588518,691442,125277,-1,-1,488061,-1,600175,146073,221617,-1,804733,-1,-1,-1,145068,776111,-1,774561,818246,-1,291117,910444,994360,-1,438221,303379,141127,763568,831340,498314,214006,268754,334724,881907,-1,-1,-1,-1,-1,-1,858906,190703,-1,-1,1429,680632,-1,990572,-1,-1,-1,301728,-1,-1,-1,-1,-1,441554,-1,-1,15693,-1,-1,974047,318326,-1,-1,126489,-1,941494,-1,643130,773584,788482,357659,217114,-1,269419,-1,84866,821258,-1,7439,331748,-1,-1,-1,547660,-1,299907,793953,-1,243505,294079,-1,797987,721362,-1,-1,868390,-1,-1,603995,-1,473773,473745,201895,-1,70768,530964,985832,640400,-1,-1,-1,753199,706510,215802,-1,-1,-1,-1,-1,602172,348159,-1,-1,931985,-1,597331,907851,266361,64874,-1,283937,714627,11347,-1,-1,275533,205955,701159,-1,766459,-1,9165,-1,120822,925705,34517,-1,479073,-1,-1,-1,-1,983141,-1,-1,-1,772598,-1,-1,295282,983363,555221,-1,122940,975571,120915,242104,-1,527177,-1,-1,-1,-1,-1,-1,104423,159037,939497,963031,-1,557394,608283,41056,733937,-1,-1,-1,-1,-1,957366,-1,-1,-1,-1,793161,-1,-1,974586,499673,-1,-1,-1,-1,274611,287348,-1,794925,-1,-1,-1,-1,587082,-1,26841,-1,-1,-1,33062,257670,258404,-1,282213,299364,869730,225865,916385,-1,522023,-1,-1,138635,620379,-1,985575,673454,328064,869841,-1,945975,745542,164086,121821,-1,-1,-1,418640,887528,532431,-1,523858,777432,-1,207920,-1,-1,-1,-1,103510,-1,-1,-1,-1,42437,894695,653261,-1,600778,-1,196076,776354,-1,232275,-1,498936,-1,-1,-1,-1,-1,-1,-1,-1,743140,-1,405124,-1,-1,793625,357980,583705,10310,-1,-1,-1,973458,717526,-1,537355,184687,-1,-1,-1,920910,832421,-1,-1,-1,767100,-1,416387,329484,-1,317436,-1,-1,-1,-1,-1,413364,-1,-1,706209,-1,-1,173695,846551,-1,871896,887808,-1,-1,530814,-1,-1,463391,105767,-1,-1,857633,-1,-1,-1,-1,239114,279455,698785,-1,-1,-1,109424,441375,-1,-1,754094,386755,-1,-1,-1,826684,586874,-1,979669,496780,-1,50541,-1,-1,-1,251173,-1,406546,-1,-1,-1,-1,720672,-1,577377,370346,731082,940095,-1,305603,549952,414611,-1,-1,561913,876948,-1,-1,816004,952493,655385,-1,567869,47881,-1,-1,77884,85300,612897,-1,21572,925238,-1,669031,-1,603157,859310,-1,-1,-1,-1,-1,-1,-1,-1,300986,-1,12398,-1,898852,-1,-1,499855,816633,704827,-1,418327,807275,479690,-1,-1,803651,-1,812657,-1,-1,-1,865071,-1,448209,-1,420237,895614,-1,996789,-1,-1,-1,-1,986679,-1,-1,539895,124034,-1,857690,559889,-1,412981,-1,-1,153036,-1,-1,489768,-1,-1,-1,389874,-1,-1,109042,-1,-1,-1,-1,502169,489970,-1,-1,-1,-1,485619,-1,-1,804327,907557,-1,435844,502132,-1,-1,746606,682593,978189,-1,653118,644397,-1,-1,-1,416716,515513,47487,928684,393597,707856,837476,502914,186507,-1,-1,-1,554247,10613,11675,-1,874188,335684,108480,853532,714635,-1,52073,-1,487573,-1,679431,-1,-1,484295,259206,131046,875890,-1,387121,574070,434805,-1,-1,-1,-1,5128,531614,-1,543622,-1,82358,780423,708109,-1,455536,303496,-1,-1,879360,-1,135529,70100,125315,376752,-1,844420,-1,-1,952858,-1,187410,660296,-1,-1,827092,560183,984356,-1,-1,-1,896249,-1,-1,-1,-1,-1,172524,841631,395349,-1,-1,-1,-1,-1,-1,805718,493929,-1,141763,415109,-1,632668,719918,889092,-1,502687,576632,-1,846882,-1,-1,662039,125237,-1,-1,-1,363546,606580,-1,-1,-1,863640,-1,-1,423167,-1,-1,950728,-1,701241,60417,584147,268257,-1,-1,423869,913331,-1,811458,893999,-1,-1,810615,-1,-1,-1,204301,-1,-1,467381,-1,258363,742289,537924,688557,954277,-1,719584,-1,-1,-1,153245,554286,882433,751224,508865,-1,312608,192709,-1,-1,90061,-1,-1,521511,6403,460594,58908,-1,861595,604795,-1,717524,-1,802630,-1,410861,423860,-1,188194,-1,617403,680977,-1,-1,-1,28992,-1,241628,-1,690489,-1,-1,-1,231456,221070,390103,-1,738412,-1,152521,988673,-1,-1,-1,183223,-1,892090,-1,-1,-1,346961,864976,721678,-1,-1,-1,-1,237815,976567,-1,60949,-1,735295,65446,338948,-1,-1,294740,-1,799319,392031,891841,10959,116378,820583,960812,-1,93797,88024,255905,-1,-1,-1,662354,-1,2703,-1,-1,871663,-1,-1,392461,313910,-1,-1,116402,226735,-1,102306,-1,-1,-1,-1,-1,189885,418579,-1,-1,-1,-1,845687,494883,-1,193619,721963,-1,311896,-1,666678,-1,-1,634631,-1,-1,968689,776675,368365,508213,968648,-1,708709,760772,295725,520472,-1,-1,154679,793266,762936,-1,-1,456788,-1,-1,546785,-1,476856,-1,607603,-1,298461,915363,703506,-1,930970,684734,408380,262785,-1,-1,910894,194339,719149,-1,185003,382655,21573,-1,36116,345021,-1,-1,145150,269540,323097,223212,-1,451404,179337,-1,282287,-1,785177,-1,931735,-1,-1,445023,139488,866024,379217,960117,588454,722033,297263,657002,-1,759359,709204,-1,-1,364324,800628,259199,725360,968139,-1,241782,-1,666585,931184,-1,819700,-1,991042,723495,-1,706442,799911,395931,947443,90341,763822,-1,991325,-1,-1,619793,-1,-1,129730,681141,49002,-1,-1,111431,182606,-1,29075,775650,143157,986583,-1,-1,906257,-1,361391,992068,184599,626493,-1,-1,313347,-1,131518,-1,751786,-1,-1,610913,-1,803325,-1,-1,-1,882709,177867,676,584074,780352,759824,993861,306215,-1,940988,-1,-1,-1,-1,-1,-1,391242,-1,-1,-1,905679,-1,-1,-1,-1,-1,-1,-1,23880,-1,-1,-1,329726,-1,743733,-1,877,497816,-1,599334,77862,183244,165213,700757,-1,17912,914115,-1,639519,-1,336796,-1,305816,442685,707444,-1,-1,850856,500183,-1,272815,-1,-1,-1,-1,-1,266790,-1,-1,761260,-1,764455,-1,555709,334202,189839,648018,-1,395839,-1,-1,-1,754783,869656,-1,-1,666445,-1,-1,-1,-1,-1,566985,-1,322740,-1,-1,408754,-1,-1,-1,-1,79399,704899,296722,-1,676354,657761,-1,308859,891106,-1,-1,386984,-1,93480,132620,873753,28678,59373,-1,305351,947236,-1,-1,783626,-1,266794,83030,625861,782390,-1,993781,-1,374315,997059,845804,-1,121972,881293,-1,-1,-1,-1,-1,-1,206235,76343,744248,329086,641275,494033,348197,311588,24708,904837,269355,-1,-1,-1,79519,-1,944187,-1,412909,-1,-1,-1,103122,-1,-1,827990,-1,-1,-1,281388,-1,-1,-1,456848,-1,862338,-1,-1,-1,-1,-1,354653,-1,-1,-1,-1,-1,-1,-1,752304,-1,-1,-1,-1,96978,-1,-1,258318,34300,-1,-1,99255,-1,377,-1,235153,339493,-1,-1,-1,46408,818898,59989,-1,773490,-1,424354,-1,325617,757419,50757,-1,696645,-1,-1,-1,-1,958766,-1,507694,-1,620145,-1,-1,578603,155509,713402,954255,-1,170222,-1,702919,19453,761592,391654,-1,770826,-1,444424,18028,-1,987754,842618,-1,-1,-1,-1,690566,-1,-1,134612,-1,-1,363595,-1,-1,638893,-1,105724,-1,-1,590746,979418,-1,-1,-1,411685,667841,99023,-1,-1,92446,147070,134606,-1,233715,287488,-1,46992,616145,-1,416141,-1,-1,113847,445835,712905,982600,297420,-1,-1,515340,652888,-1,308186,-1,-1,-1,558155,188675,-1,136297,-1,-1,753053,-1,193952,-1,250723,-1,-1,620100,-1,-1,-1,758896,-1,419723,-1,499208,439900,480588,-1,-1,104725,-1,-1,46250,204898,290499,-1,520190,-1,-1,477779,715191,-1,727373,-1,-1,-1,956632,-1,54974,-1,957989,906567,-1,-1,-1,321902,-1,230544,98267,518109,867920,-1,373946,-1,-1,812078,928680,540485,-1,-1,898739,959675,-1,-1,760347,-1,-1,951326,-1,-1,-1,263406,-1,134114,271244,884383,-1,-1,99951,-1,204752,-1,262254,-1,366858,751537,-1,-1,342063,-1,143456,307350,277513,-1,-1,807121,279250,-1,390708,-1,869493,-1,941041,937850,893860,-1,-1,283008,-1,195400,719789,-1,237557,670726,-1,504683,180059,-1,-1,673942,-1,-1,-1,-1,97966,517809,-1,-1,60283,218950,651053,-1,959504,-1,-1,-1,-1,-1,190302,483294,-1,-1,-1,-1,948111,562516,271685,-1,-1,-1,-1,-1,-1,536126,255807,35168,-1,-1,-1,-1,264042,-1,-1,48884,646457,-1,-1,374808,-1,-1,245724,569843,864350,26673,-1,888710,352017,-1,-1,-1,831414,-1,414230,620814,933111,-1,-1,107356,-1,742816,364909,-1,263642,976537,-1,-1,-1,891679,-1,252245,-1,-1,-1,-1,410084,-1,745735,329248,-1,808615,262587,868815,746310,302979,-1,183445,899237,-1,452757,-1,-1,843336,580786,-1,-1,-1,988558,226655,160686,-1,557771,762497,-1,525822,-1,-1,237922,744152,662178,-1,-1,313617,997970,-1,965739,14525,359946,-1,307969,204876,-1,739579,-1,-1,-1,-1,-1,582487,-1,304386,-1,-1,47211,-1,-1,607447,744667,-1,250445,932992,-1,857506,407430,137895,-1,72559,-1,165566,945730,-1,577673,-1,54080,228775,634229,937993,78114,-1,-1,-1,-1,-1,-1,823433,-1,-1,694945,-1,329334,713685,759306,-1,983685,820158,61681,-1,298145,953065,541775,790783,-1,251489,-1,-1,689064,144139,-1,-1,-1,-1,463937,183859,-1,-1,-1,637071,979865,-1,-1,-1,547656,139052,-1,205493,568913,860281,573998,211331,428461,938447,461265,644654,-1,-1,-1,542931,100330,21452,214238,-1,-1,203426,-1,-1,-1,-1,-1,827576,-1,-1,-1,427676,-1,570308,265774,-1,407790,277281,971636,518008,-1,-1,-1,-1,-1,-1,-1,231127,908248,-1,447480,-1,-1,-1,-1,282335,149135,688558,-1,-1,-1,404830,130847,949405,207917,-1,-1,-1,334128,494188,-1,35846,-1,-1,280755,984745,-1,975904,549591,-1,967747,-1,237656,-1,7360,788498,377182,998745,-1,-1,439261,-1,249881,655319,-1,4015,524682,507,382410,-1,-1,332669,989368,-1,-1,-1,-1,-1,-1,-1,512350,-1,-1,-1,-1,792351,-1,361293,450937,-1,491034,832949,452420,217666,-1,-1,516704,177530,988947,-1,-1,823366,-1,-1,-1,536798,-1,306455,160329,240801,923522,-1,797181,-1,486606,-1,720182,-1,253887,-1,-1,-1,76574,848791,-1,181881,-1,-1,-1,959200,-1,-1,-1,-1,513458,-1,88535,146361,-1,-1,922890,889841,-1,-1,-1,479924,-1,677821,-1,-1,-1,-1,-1,-1,592653,558227,721157,-1,288565,877373,-1,202723,475020,-1,-1,-1,-1,-1,-1,475134,-1,-1,381567,-1,-1,-1,-1,292171,-1,728967,-1,-1,-1,562745,-1,39843,-1,-1,36150,-1,-1,700785,-1,950389,101205,997795,-1,-1,871655,-1,825681,818507,775041,186483,555145,-1,826121,-1,355272,-1,326003,-1,-1,671220,-1,-1,13287,218643,-1,625862,-1,-1,-1,624125,-1,-1,-1,546532,-1,-1,-1,179341,704163,-1,-1,-1,-1,-1,456808,-1,100254,941114,-1,364131,800493,246501,61051,632968,-1,660595,-1,571126,-1,429153,970475,741364,-1,820896,413891,-1,-1,472174,-1,-1,533107,-1,-1,832811,606869,406168,-1,175498,-1,835551,574501,533080,641353,34579,-1,-1,-1,-1,332158,-1,493864,-1,-1,150676,654975,193992,-1,139428,322161,337641,-1,-1,-1,-1,-1,179748,399956,-1,-1,551187,-1,307168,941848,398652,507911,-1,352698,592045,3553,-1,257261,599387,894343,-1,465913,207864,861067,-1,355277,-1,951936,-1,-1,576927,898247,-1,-1,-1,-1,112636,-1,696153,-1,224780,-1,-1,-1,-1,-1,501833,301436,884301,-1,103565,830224,-1,-1,-1,968389,835653,-1,331706,-1,-1,-1,-1,217732,-1,880804,-1,-1,-1,47656,136129,368547,-1,599055,-1,117365,258489,-1,-1,791070,113396,-1,693126,-1,-1,-1,-1,838310,-1,-1,-1,-1,-1,299676,-1,881348,850059,-1,-1,-1,276668,486078,-1,-1,128991,-1,899713,-1,505788,-1,-1,254899,859913,-1,394274,-1,-1,22328,-1,-1,-1,384386,-1,-1,780494,973637,-1,794001,-1,698130,587026,198020,181829,305649,-1,21610,-1,-1,-1,907581,951039,-1,709180,105763,-1,746702,-1,175047,512252,110484,-1,-1,-1,348461,680063,724573,544950,-1,724926,-1,-1,-1,359725,-1,-1,312437,-1,-1,-1,-1,809894,-1,802420,952386,-1,-1,-1,-1,510248,-1,-1,250912,-1,-1,-1,304867,193644,-1,207679,-1,27889,505914,-1,-1,-1,-1,914444,-1,-1,34326,-1,-1,351855,-1,-1,-1,-1,-1,6316,778760,864753,669877,-1,-1,-1,-1,422709,975160,-1,7064,535655,181034,216238,-1,-1,251802,265120,835883,-1,-1,-1,199614,-1,460926,-1,487027,977733,199851,34119,-1,136706,-1,-1,832853,80617,213731,417451,533794,173594,-1,499360,85804,533305,753447,-1,490141,-1,-1,-1,-1,616823,558194,-1,-1,217544,903492,-1,-1,-1,-1,966703,-1,-1,663760,-1,257322,-1,718927,-1,-1,-1,-1,-1,-1,637970,492347,795868,660838,6009,680576,809179,-1,501744,-1,-1,-1,-1,909060,-1,737891,680262,-1,-1,-1,442274,-1,276606,-1,-1,979566,287300,543091,-1,-1,56316,435467,522415,176687,887727,67930,-1,647833,661492,491344,72544,-1,-1,98867,-1,215224,-1,172680,166584,-1,-1,-1,549278,215819,911418,161124,51387,-1,454250,-1,-1,-1,-1,-1,242342,501878,-1,-1,-1,-1,-1,962551,27344,338600,-1,525621,-1,710641,288187,733500,415806,789081,659272,300658,-1,-1,544795,-1,-1,-1,153143,-1,-1,426280,690376,653185,568681,-1,363776,888070,291806,109668,778143,-1,-1,541234,-1,734363,847820,-1,-1,-1,-1,545018,656274,-1,-1,861168,-1,-1,-1,839696,-1,652669,-1,-1,-1,-1,-1,-1,-1,-1,-1,653170,32087,931683,-1,161866,-1,-1,267796,-1,-1,-1,-1,-1,-1,-1,8421,-1,-1,-1,715859,-1,779849,-1,-1,530622,820276,245205,-1,41107,-1,-1,456502,567085,732456,766089,27733,127863,-1,82662,-1,945185,43871,-1,-1,74812,573925,-1,-1,830205,-1,141525,821600,-1,-1,857818,610330,-1,9697,-1,-1,-1,-1,-1,372160,961125,-1,-1,278874,-1,-1,653832,-1,-1,269209,-1,-1,664417,-1,-1,-1,-1,-1,-1,-1,189103,315856,688152,-1,847150,462320,754062,914125,757420,-1,-1,342255,954843,729798,620226,-1,-1,9952,-1,887002,-1,774234,453338,-1,240226,-1,-1,-1,-1,-1,-1,817574,-1,-1,486218,674097,-1,-1,-1,464496,-1,-1,140018,598191,-1,-1,-1,-1,421167,-1,216149,-1,-1,37478,-1,522691,104459,-1,-1,-1,355052,-1,-1,903426,254548,292949,-1,-1,-1,341039,717658,203353,-1,-1,-1,-1,689474,-1,-1,401126,856155,-1,158414,409607,-1,-1,-1,-1,71587,-1,-1,894576,-1,928402,498746,-1,745012,741307,959355,545171,177554,-1,-1,978526,-1,425933,98894,269645,-1,-1,306038,-1,2422,521204,-1,-1,463286,-1,785022,875025,768155,-1,-1,-1,776524,-1,-1,491841,-1,-1,-1,-1,401441,764756,579725,-1,667311,154323,742645,398734,49744,-1,474870,-1,586214,808718,800939,59347,-1,-1,667472,139671,-1,649475,926471,36614,894745,188934,-1,219909,-1,-1,625641,-1,-1,-1,-1,-1,-1,21085,663286,736182,-1,319037,-1,517320,697989,-1,-1,2555,208762,898607,136859,706241,-1,820772,231936,236793,-1,501378,713729,207315,893008,136499,-1,228290,-1,447185,946225,-1,793526,926258,792687,-1,113994,685711,-1,277975,258170,-1,-1,-1,137693,592112,-1,329107,299637,-1,-1,393938,-1,163598,-1,427323,-1,503719,-1,-1,986707,-1,-1,-1,-1,-1,-1,771668,927376,802947,95038,-1,-1,-1,640976,-1,-1,-1,-1,526692,-1,-1,-1,-1,734301,466124,-1,-1,-1,104817,-1,-1,-1,-1,-1,263065,-1,712566,233953,-1,745149,606639,-1,744399,514475,340834,526204,861954,993264,776228,724293,581474,209915,570981,-1,711380,541438,167956,-1,-1,-1,762767,-1,-1,-1,-1,356054,-1,-1,-1,-1,-1,-1,603547,-1,341900,150795,557197,457532,-1,129909,489400,-1,-1,-1,-1,454226,-1,-1,-1,728895,867483,-1,926718,936915,317515,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,229363,-1,46101,454636,531885,438881,-1,-1,515865,681446,-1,416868,148475,-1,107655,-1,970753,850176,-1,469514,-1,-1,119707,-1,144665,7076,-1,-1,-1,933718,-1,485794,-1,-1,-1,-1,595653,-1,-1,-1,-1,455349,414645,337611,354452,-1,-1,585751,941845,756253,-1,-1,935859,-1,-1,184815,828769,560402,725861,301015,985699,721563,773218,782765,769122,-1,828995,316759,-1,119977,435052,719502,553140,389444,-1,917515,228672,-1,-1,210402,103901,964335,-1,480565,-1,-1,239671,-1,201156,-1,577148,415890,-1,509783,-1,-1,-1,-1,-1,-1,-1,804572,-1,-1,-1,280032,-1,151104,719210,377423,900051,-1,-1,877766,182,-1,-1,365597,334273,-1,879285,361245,-1,603600,775486,391276,413255,-1,-1,-1,539342,376492,-1,-1,-1,-1,-1,474576,-1,282878,-1,759916,269673,196429,-1,785305,113643,-1,-1,986820,-1,-1,110878,717026,220659,827892,172488,455012,-1,-1,605312,872862,413080,440687,-1,663507,-1,-1,-1,214765,79086,-1,-1,-1,321225,-1,470536,-1,622561,-1,-1,-1,-1,-1,390437,380957,-1,-1,725720,902403,776274,-1,-1,239772,-1,432199,981654,673730,245033,37374,-1,817075,-1,565680,-1,-1,-1,-1,-1,724087,2406,-1,-1,-1,-1,-1,-1,-1,-1,-1,343611,121317,755911,935252,-1,294139,-1,-1,41028,484712,384543,-1,294565,831142,689155,-1,515174,-1,-1,-1,-1,-1,798135,-1,644666,-1,685114,-1,84572,-1,343372,-1,267842,750901,-1,-1,-1,-1,779683,-1,521939,-1,823161,-1,-1,60976,-1,22841,-1,158801,-1,-1,-1,-1,843284,926270,-1,-1,439561,189363,597779,473115,386170,-1,609149,935741,991129,961242,-1,949330,-1,-1,173275,-1,-1,-1,22067,104557,-1,896888,22752,-1,270336,-1,-1,-1,-1,-1,-1,385482,3434,-1,459565,302353,-1,791569,-1,-1,-1,-1,115859,-1,555996,-1,596994,253591,-1,-1,419522,-1,-1,418251,-1,19627,92941,770159,864325,83887,436897,654173,607751,833446,959963,-1,215662,-1,-1,-1,-1,318862,147564,-1,112793,299566,-1,909877,615970,769404,7007,-1,377283,-1,382568,815826,123351,173933,402174,-1,-1,-1,-1,278923,-1,-1,-1,-1,-1,647689,-1,-1,-1,-1,178221,364452,-1,470790,-1,109993,-1,846151,842464,527492,371913,-1,24895,402792,154730,216070,552310,-1,926574,40719,220086,-1,613247,31425,-1,383073,888940,-1,-1,906716,393258,401282,-1,515767,320355,409924,-1,733676,-1,41292,824101,-1,-1,-1,651502,344635,-1,-1,-1,-1,690616,-1,536455,465973,322413,-1,-1,-1,863314,-1,846718,-1,-1,603661,729329,929695,-1,-1,685026,-1,-1,-1,623794,366018,878390,-1,899106,-1,737543,736651,-1,-1,-1,-1,-1,-1,108827,98505,-1,950399,160355,-1,-1,552010,-1,319313,-1,-1,-1,22100,-1,-1,729697,263378,-1,244106,672841,701486,-1,966936,-1,-1,871780,-1,-1,121946,-1,142592,434503,-1,-1,895644,102855,-1,-1,138528,761523,594895,-1,-1,-1,-1,645479,-1,-1,-1,-1,-1,973574,-1,80494,550600,132161,663190,-1,-1,414463,-1,470060,162353,863072,-1,723338,343822,706968,890998,-1,-1,22474,-1,-1,954360,222803,429372,313463,191714,114908,-1,-1,-1,246978,-1,-1,-1,-1,-1,26703,635607,-1,-1,-1,-1,26807,-1,402094,-1,-1,-1,-1,609430,508518,-1,-1,165964,286543,-1,-1,-1,-1,-1,138252,76996,551387,-1,-1,-1,-1,-1,349383,802408,-1,-1,465331,-1,355879,71190,-1,-1,174992,625331,-1,-1,-1,334558,199581,-1,728899,-1,411711,214365,-1,-1,-1,-1,-1,151916,-1,467892,-1,421111,-1,-1,-1,-1,-1,783055,208755,-1,-1,-1,227279,725156,190681,-1,287163,-1,637804,-1,-1,-1,-1,732387,584246,-1,-1,-1,976563,503106,381038,60771,-1,69135,-1,115339,-1,-1,-1,-1,-1,982926,47804,96190,947795,-1,-1,-1,-1,983322,-1,736187,-1,166200,-1,467169,-1,-1,-1,-1,810951,593405,6493,551802,-1,-1,-1,953162,435291,743609,437887,-1,823440,-1,826572,777881,-1,-1,-1,-1,-1,825577,-1,683119,897825,525504,451092,-1,981265,244689,-1,841404,-1,-1,286714,-1,345957,-1,193468,-1,-1,544804,498983,790000,727058,818723,-1,119561,-1,-1,-1,-1,803123,187697,-1,-1,-1,549375,987862,-1,-1,-1,989,-1,189544,-1,-1,-1,-1,738639,232640,-1,-1,-1,85420,804492,812101,-1,-1,-1,-1,-1,-1,-1,-1,402502,-1,178863,-1,-1,-1,-1,364571,708681,455000,632109,367922,828332,677873,825146,-1,-1,765032,761093,-1,42004,599312,-1,588254,974646,70954,-1,-1,968958,-1,973419,-1,-1,414737,-1,339360,-1,584386,787013,-1,699787,62905,620140,-1,-1,466776,257716,-1,133244,758755,987108,417719,-1,-1,2717,595100,934698,605353,883154,-1,-1,-1,-1,-1,979176,-1,-1,-1,490296,582973,-1,-1,447371,-1,-1,983051,816517,22449,580475,839978,-1,626953,-1,169951,-1,-1,174404,903970,-1,770295,753430,-1,-1,-1,-1,-1,257836,844818,562748,-1,778827,361427,327701,157925,173513,-1,-1,-1,677500,748732,-1,253114,573885,356666,496628,544044,-1,-1,228500,-1,-1,-1,474110,305263,-1,679257,-1,-1,-1,-1,683802,323644,866681,-1,-1,620597,584798,528910,535105,265995,-1,-1,-1,-1,-1,219928,-1,801125,399278,336946,-1,-1,121189,-1,-1,-1,-1,109671,438577,-1,268627,86997,704375,661363,-1,-1,-1,598601,-1,-1,-1,-1,-1,88480,861317,-1,448535,-1,-1,-1,11658,-1,741553,217497,128779,855566,-1,568760,685825,-1,-1,221833,-1,189718,861967,452704,362797,-1,-1,267706,-1,-1,168447,523985,-1,698683,-1,450219,38256,835209,-1,905469,921477,-1,947965,-1,400792,-1,-1,-1,155857,436802,964630,-1,845340,216628,16803,153109,-1,-1,-1,-1,86250,10577,-1,-1,-1,873863,475005,840731,819109,-1,-1,-1,-1,291417,462563,629337,-1,779805,882312,-1,-1,962826,299722,672703,-1,920192,-1,675862,-1,-1,-1,-1,47384,-1,587257,-1,535176,-1,263971,-1,-1,-1,247533,-1,814925,910187,858457,349708,317799,-1,-1,-1,690226,-1,471487,315216,973971,57601,305222,801058,837220,-1,-1,422291,-1,-1,-1,-1,-1,-1,-1,-1,-1,870278,-1,-1,-1,-1,-1,515415,345566,942750,-1,-1,-1,8814,-1,-1,574722,687765,-1,752607,-1,-1,-1,672530,-1,-1,992666,-1,-1,780012,-1,353076,985332,126050,-1,-1,-1,614578,-1,906734,-1,566854,-1,-1,474497,-1,-1,770116,-1,907520,-1,-1,817053,-1,64802,-1,183,-1,203294,-1,80612,-1,-1,-1,-1,-1,-1,459813,-1,9843,-1,141908,-1,-1,-1,-1,-1,809142,-1,203875,244438,-1,-1,937898,573504,-1,-1,759695,-1,-1,469253,850454,-1,-1,777149,-1,-1,-1,263702,-1,-1,-1,-1,379931,652405,-1,700933,-1,-1,260594,751835,730921,-1,-1,12881,936137,688115,-1,-1,-1,-1,735493,-1,884684,-1,-1,670460,-1,-1,157974,-1,-1,846158,902448,-1,246021,-1,-1,803067,641461,-1,112371,-1,-1,-1,-1,232142,599122,598822,-1,-1,-1,-1,-1,868928,196721,226625,-1,-1,769356,-1,194412,-1,-1,266724,-1,342833,566544,-1,-1,-1,267071,409542,649378,308991,-1,357784,-1,446963,-1,-1,357944,-1,124509,-1,-1,224335,980120,-1,370091,375111,363997,25954,-1,568885,732063,-1,920038,-1,-1,-1,166958,608918,-1,-1,-1,-1,769057,100603,850839,-1,873581,-1,-1,435313,-1,822640,-1,748686,-1,213497,-1,484982,768813,356030,-1,-1,440560,-1,-1,-1,-1,-1,-1,-1,-1,665026,-1,660616,420070,533435,771190,-1,-1,766125,986860,855767,-1,411110,908197,718899,-1,197218,-1,146126,-1,-1,-1,317107,5610,76377,953148,196747,-1,-1,-1,911657,257433,-1,536701,557416,461794,-1,71676,-1,-1,64101,245813,372723,-1,52171,-1,319623,-1,-1,-1,736356,891539,195037,-1,534960,952251,795578,619519,810753,-1,-1,-1,262684,935734,-1,-1,-1,134160,-1,947312,-1,720534,-1,869488,-1,-1,-1,-1,-1,624530,475466,-1,-1,451579,249054,824643,-1,774770,251451,-1,502291,310783,99364,-1,810427,-1,245929,-1,519051,715991,-1,580958,861664,-1,-1,-1,-1,-1,874319,-1,695078,112929,-1,89958,-1,-1,581747,935769,-1,951763,287010,422369,403338,-1,564631,-1,427997,787530,-1,-1,-1,268969,-1,120362,375319,-1,-1,59204,-1,-1,-1,119925,-1,-1,744026,-1,363655,726844,-1,630209,732430,172336,-1,-1,392232,-1,-1,825724,367001,-1,-1,589281,11425,-1,228580,415581,292112,-1,199912,989975,941560,698054,-1,605623,624765,-1,-1,18826,-1,151807,-1,-1,201114,209070,-1,989622,-1,-1,410227,-1,-1,-1,-1,823372,853877,999252,-1,-1,-1,-1,276015,473399,-1,295300,236588,-1,916524,31570,915356,-1,80961,-1,6996,-1,496984,263924,51057,-1,268086,-1,-1,-1,-1,255079,451660,143264,952920,64600,160862,683430,843141,-1,333825,-1,-1,-1,337400,357460,-1,-1,155855,-1,-1,-1,-1,-1,134475,409905,-1,-1,200454,791336,-1,254538,284314,-1,-1,-1,666307,-1,-1,139633,911579,56850,-1,-1,167912,507651,-1,972194,746507,584478,589252,-1,-1,-1,-1,180511,-1,-1,-1,-1,-1,487028,28171,797781,-1,-1,347603,812525,946309,439005,-1,-1,-1,-1,19119,-1,-1,-1,340844,244606,181772,-1,820497,280636,990679,384369,-1,-1,-1,347867,52288,-1,879131,-1,537450,-1,456353,-1,-1,604926,-1,907732,507345,-1,-1,220966,810940,21050,588803,-1,790376,-1,-1,-1,-1,928979,590899,689658,925340,-1,730513,-1,-1,-1,-1,165173,-1,364367,-1,264525,163380,38091,-1,-1,-1,-1,-1,629262,-1,803268,-1,-1,211115,-1,836717,184881,711783,418456,-1,881601,-1,830291,-1,235951,-1,407558,-1,844580,534396,338394,-1,-1,-1,-1,-1,-1,-1,223343,700164,662219,988388,187107,-1,505672,-1,640101,-1,774730,-1,351448,986326,527174,846132,-1,82729,215443,-1,881234,819863,355719,-1,880340,509099,-1,904300,277219,-1,646942,272902,-1,710362,931820,-1,548708,985269,-1,-1,-1,-1,-1,-1,832082,-1,475704,309296,-1,979151,597253,215609,375639,-1,-1,321763,400771,-1,-1,-1,613521,-1,42511,-1,436290,257379,-1,607833,-1,-1,-1,-1,21918,770352,-1,-1,-1,-1,73075,-1,129980,675138,-1,-1,-1,832342,109539,-1,665393,-1,-1,-1,-1,-1,-1,183468,113420,-1,992216,-1,-1,327139,-1,-1,-1,158085,423714,878948,278003,337052,480050,535117,-1,-1,111439,-1,-1,415641,-1,-1,-1,446681,22177,-1,396066,957845,-1,576163,52014,-1,813760,-1,625700,-1,-1,-1,-1,223961,462135,918396,171511,-1,-1,-1,346301,-1,-1,815749,537219,-1,142878,151102,124750,-1,-1,-1,-1,478134,-1,819359,-1,95359,-1,352731,-1,571450,-1,-1,-1,-1,450661,777204,-1,-1,625080,-1,145346,-1,383580,-1,-1,756475,-1,791522,-1,11200,480440,-1,-1,509204,-1,-1,665796,-1,-1,372915,-1,-1,-1,195760,868659,103219,-1,736750,291263,281611,-1,704777,-1,940805,-1,-1,-1,647081,832970,505572,403011,547560,67565,103938,777901,11303,-1,783688,-1,-1,-1,-1,-1,173508,113017,97050,-1,872281,855813,-1,196178,-1,54977,656646,475947,-1,-1,-1,-1,236103,541316,304817,332588,276860,917663,-1,-1,494929,962511,321951,538821,-1,-1,621117,826664,-1,-1,-1,372108,-1,-1,-1,947731,49138,657436,988641,263866,243625,-1,304844,-1,534538,484020,351913,511003,-1,988133,408819,373136,594701,-1,112693,-1,885860,-1,287580,244883,449736,-1,-1,-1,930375,-1,933458,152348,-1,-1,285974,-1,187975,-1,-1,461406,940799,-1,-1,323461,-1,-1,-1,-1,-1,671764,469636,216334,-1,-1,485862,799254,-1,447610,218606,446304,-1,-1,197142,880761,614045,-1,-1,-1,-1,244749,-1,90402,777790,-1,-1,-1,372437,-1,633258,634479,471159,-1,277715,-1,868203,-1,631896,-1,308943,-1,-1,-1,-1,-1,-1,-1,484384,-1,155892,173688,820597,54243,-1,564298,-1,-1,672471,199072,-1,852223,-1,-1,884676,-1,-1,-1,-1,976376,-1,412457,574364,456931,75695,790751,-1,571389,915238,-1,-1,-1,-1,687719,334820,-1,-1,166660,-1,-1,-1,-1,-1,991161,988695,-1,-1,435408,-1,-1,-1,-1,386065,-1,681204,519469,765842,-1,-1,239643,-1,-1,440197,945258,65663,369870,886462,95767,-1,717353,-1,-1,877564,441777,741237,808842,-1,-1,-1,836330,945338,880002,-1,490993,272985,-1,138629,858495,402305,-1,-1,695498,-1,-1,-1,-1,-1,388425,-1,354705,206089,502713,-1,-1,-1,681912,116853,-1,6956,-1,337454,706258,352667,500855,-1,-1,-1,400915,-1,970073,-1,556987,-1,382861,698777,677656,-1,889814,-1,-1,899666,-1,-1,91618,230814,188490,-1,-1,-1,652146,-1,-1,-1,51375,-1,-1,-1,39909,-1,-1,178697,177682,631010,-1,843338,-1,592541,916515,370075,98893,729411,-1,-1,613470,-1,-1,-1,-1,-1,-1,-1,-1,725461,-1,64021,-1,-1,900710,281319,-1,-1,-1,-1,134744,-1,216208,480693,345108,592105,-1,582970,-1,528212,247509,-1,-1,330374,-1,905347,989603,-1,850638,646352,-1,-1,624404,-1,761213,282261,-1,-1,921825,-1,-1,-1,-1,-1,-1,-1,-1,-1,334243,543251,-1,845586,315255,829494,-1,776653,-1,537484,741599,-1,-1,148449,-1,-1,988243,752133,288648,855221,602980,-1,-1,-1,-1,-1,538440,-1,-1,-1,859367,302748,-1,328695,478301,174382,809902,425669,-1,246700,453903,-1,-1,-1,-1,142765,-1,-1,129991,-1,-1,-1,128795,-1,-1,504345,508893,-1,108625,-1,-1,-1,-1,892175,326701,-1,67606,155631,-1,704712,14838,338127,-1,-1,638110,326267,559568,234793,-1,-1,-1,-1,462050,980024,915520,436422,589465,-1,582435,903555,-1,-1,-1,784058,-1,-1,-1,-1,517762,254705,-1,843799,-1,-1,-1,-1,-1,714774,-1,-1,636551,-1,-1,656694,-1,-1,-1,-1,-1,-1,829651,963880,-1,195405,262017,-1,-1,705380,-1,744419,829561,605883,-1,230802,-1,556062,321419,312201,-1,-1,684102,-1,238665,-1,-1,955204,-1,383487,213665,-1,894634,604389,890132,613347,533390,892191,-1,296520,-1,680754,-1,-1,-1,864037,763750,785525,-1,-1,-1,-1,-1,-1,-1,-1,730614,897349,-1,56035,-1,700260,74001,259495,-1,-1,-1,143440,-1,58988,526703,6014,-1,-1,-1,-1,576056,447324,-1,793894,-1,-1,-1,-1,65235,-1,965623,-1,-1,806469,578169,604166,-1,-1,491520,-1,177989,-1,-1,41015,-1,215504,-1,365307,-1,-1,-1,-1,96496,-1,360045,-1,665805,113980,667498,167857,968693,-1,410673,-1,125896,53346,-1,59836,338374,-1,-1,830161,801018,464956,-1,492292,61672,-1,385231,505712,-1,456958,-1,318058,912049,-1,333162,83714,247855,881147,125075,519468,-1,-1,-1,26190,94618,60155,-1,443609,-1,105895,253152,-1,78047,-1,288938,-1,-1,652665,-1,441567,-1,680755,272362,-1,-1,124017,600977,752643,-1,-1,953421,564502,-1,-1,458820,449196,-1,449709,256098,-1,119919,891928,465591,507528,-1,-1,-1,-1,120939,-1,662584,-1,493732,109083,-1,134041,521327,118195,-1,156229,304740,-1,-1,-1,-1,-1,-1,-1,-1,742495,34672,47975,701135,78057,-1,-1,286831,630904,979383,353763,-1,967604,-1,873035,-1,-1,-1,-1,-1,-1,149270,652670,341576,-1,-1,-1,-1,-1,965497,-1,553366,631185,442420,-1,318784,-1,-1,932614,150661,-1,511625,-1,688565,-1,-1,53805,-1,444061,-1,-1,235642,389515,846994,68802,-1,-1,139110,585417,373231,178728,-1,509174,-1,-1,-1,-1,616205,-1,667829,446384,-1,-1,-1,124830,152875,257519,-1,-1,-1,-1,-1,646172,-1,700440,935642,-1,621954,-1,585115,70829,-1,-1,-1,438793,337360,-1,599848,155134,-1,-1,-1,-1,552415,-1,844453,167854,-1,152422,659509,-1,902598,-1,-1,977044,-1,-1,435888,677694,342665,233223,-1,-1,691104,530875,827217,5053,-1,561811,-1,541535,-1,-1,-1,-1,625694,-1,143171,-1,-1,737572,-1,976687,-1,-1,802440,-1,129206,797388,377803,-1,131069,622297,-1,-1,61644,-1,-1,-1,547028,-1,-1,-1,-1,-1,486543,872727,785745,-1,353399,348513,511790,707382,-1,-1,-1,-1,419947,-1,536951,867439,151966,585572,453094,714065,-1,-1,-1,-1,-1,-1,785474,-1,250773,-1,745308,-1,-1,82912,397226,746703,188760,-1,613239,745810,578411,655737,-1,826437,776861,-1,522631,-1,955338,599035,143065,-1,378596,-1,106730,-1,942703,-1,375061,-1,629377,324547,885283,-1,-1,-1,566899,-1,236096,443933,291167,-1,-1,515285,323998,309216,-1,-1,-1,-1,-1,758028,229388,-1,760192,372037,-1,-1,335613,-1,-1,-1,391446,-1,117505,692127,914283,799288,715855,-1,-1,12464,-1,195970,773443,-1,430838,853855,232492,-1,-1,-1,300268,360245,736137,-1,-1,-1,30753,-1,55467,-1,-1,-1,-1,324610,-1,-1,634607,844904,-1,97511,-1,-1,516451,-1,-1,181962,-1,689667,773237,475305,914537,-1,-1,715992,-1,77395,-1,934757,657590,453785,162004,314465,-1,532907,88883,-1,458589,24608,42807,-1,-1,61585,732267,-1,276825,-1,10682,556951,-1,36270,467678,389649,-1,-1,795854,32708,-1,885262,181329,543481,381653,216605,-1,238666,-1,906164,339796,400082,318437,-1,885078,390512,767585,762520,-1,-1,929395,-1,279415,-1,570102,-1,-1,-1,-1,431098,471353,127004,-1,-1,-1,14469,451372,-1,-1,-1,-1,-1,911150,991223,576457,285481,950527,-1,887443,296632,-1,312133,994027,-1,656985,135587,881722,-1,-1,510669,860681,-1,-1,-1,-1,52645,124874,941449,21311,478766,-1,642718,61118,-1,-1,469767,257325,20495,-1,419219,-1,570924,746691,536036,644383,360456,164910,511382,785902,792857,531050,-1,449366,-1,887819,-1,24343,-1,130527,-1,526001,-1,891865,536332,-1,-1,-1,-1,-1,-1,-1,-1,476148,-1,972486,-1,-1,-1,504381,54646,-1,-1,-1,309098,-1,127796,558018,953050,654213,959083,565536,682668,-1,-1,551277,-1,-1,-1,999565,-1,-1,-1,-1,8130,314537,195887,981831,-1,468151,-1,43478,267589,-1,-1,-1,923918,-1,-1,-1,132555,420791,-1,180886,820409,820912,687592,-1,-1,-1,155434,-1,-1,704464,519876,-1,498079,-1,985565,379905,217928,-1,338939,309840,705531,151503,24702,-1,857390,-1,-1,-1,49615,80089,-1,658279,-1,879217,-1,69944,193737,654727,935972,754233,-1,-1,423705,972225,388188,621897,-1,955142,24635,-1,306069,-1,84520,-1,-1,599466,504022,-1,-1,-1,650450,664876,142969,-1,-1,333333,634230,598288,-1,-1,-1,-1,-1,-1,-1,-1,-1,431864,547327,-1,337715,-1,-1,412119,201867,-1,-1,-1,615281,894427,-1,-1,-1,-1,313337,605688,-1,-1,161306,58120,-1,552215,504106,-1,20370,101045,-1,163462,-1,616396,920251,132220,642526,892542,-1,614320,-1,957744,47750,-1,221718,-1,-1,762762,710451,266676,-1,-1,374286,-1,-1,-1,-1,220581,-1,217249,-1,-1,-1,123151,-1,-1,24074,-1,-1,-1,-1,932474,-1,-1,-1,-1,-1,692069,323722,-1,-1,-1,-1,939951,-1,868005,555427,-1,-1,916540,-1,-1,-1,-1,647213,-1,-1,-1,329571,-1,-1,-1,-1,-1,672833,514597,249838,126364,943014,703369,-1,669494,287599,765691,-1,543151,778996,-1,85510,543591,240427,-1,841615,984956,673868,-1,477850,-1,998730,732263,398279,412617,710515,-1,222969,-1,377227,-1,-1,-1,-1,186697,-1,-1,-1,728829,-1,966577,987775,242126,-1,237791,321065,-1,-1,-1,-1,965365,-1,51683,-1,447656,-1,-1,626358,378931,-1,-1,456215,-1,632640,412001,586654,903216,598479,-1,-1,119944,-1,-1,938207,-1,368007,-1,-1,494017,31028,15416,764948,-1,-1,485857,201787,-1,391559,-1,-1,499803,-1,-1,-1,-1,-1,930602,417836,-1,-1,-1,-1,-1,559145,-1,-1,-1,566328,-1,-1,-1,278777,289927,418142,259813,-1,-1,312418,155816,-1,-1,-1,442963,-1,396398,340877,-1,-1,37079,395189,-1,856900,369550,-1,-1,-1,281004,551586,237411,-1,-1,556383,837012,-1,-1,-1,918031,211778,-1,381147,156843,-1,527281,49449,345959,-1,290643,-1,99930,761781,270298,-1,-1,-1,-1,-1,283114,813525,347688,-1,517060,-1,954705,507058,850718,605920,172319,576028,287323,-1,666085,-1,-1,-1,27477,708831,-1,-1,-1,-1,439897,-1,34185,-1,366595,920655,-1,427674,33210,-1,383537,-1,-1,-1,-1,-1,668317,975554,-1,598274,68739,-1,-1,-1,-1,-1,-1,459114,-1,813757,756902,-1,165295,981950,895147,-1,-1,-1,543071,-1,824251,-1,-1,833296,968831,-1,560449,-1,922007,-1,-1,-1,108109,224711,-1,-1,-1,-1,5852,692658,-1,257300,992187,882876,33850,-1,826595,-1,-1,-1,282719,-1,472055,38797,240794,-1,319875,332140,284018,231541,-1,-1,-1,-1,-1,126813,905983,-1,47262,-1,-1,453309,273295,-1,-1,-1,-1,-1,967352,-1,-1,869933,-1,-1,821917,763051,450188,-1,-1,-1,-1,218461,509943,-1,787061,-1,-1,-1,-1,-1,85545,-1,-1,380288,-1,-1,589065,907264,358319,758571,-1,-1,-1,892769,-1,638532,163574,241047,-1,470065,974789,-1,-1,564398,98415,-1,-1,-1,-1,239555,-1,-1,-1,551854,616574,84428,804084,-1,726148,-1,-1,236521,-1,131417,60803,660516,196312,-1,-1,-1,123062,129751,-1,157546,157459,84398,683166,894573,390640,155353,102694,-1,956155,-1,-1,843224,610848,791976,-1,-1,-1,986934,-1,120467,613027,-1,430092,-1,610457,383684,-1,648750,-1,-1,-1,-1,257377,902095,-1,94141,-1,-1,664635,-1,217911,221754,-1,-1,-1,806226,-1,-1,-1,-1,28545,-1,-1,-1,129796,-1,944020,-1,-1,764046,-1,-1,-1,149202,-1,832685,-1,358446,451211,-1,-1,587283,-1,-1,176564,282484,-1,503242,379796,249019,364260,-1,718317,-1,-1,-1,464795,689828,224509,-1,358535,-1,-1,973570,13285,-1,-1,-1,-1,-1,15393,687016,832875,826062,662643,516153,611341,330038,986401,140461,176693,245213,903330,769492,883621,-1,-1,-1,901253,830543,-1,-1,-1,286838,-1,-1,-1,745773,233846,973730,-1,280128,-1,944001,176491,310740,802007,-1,-1,-1,241018,-1,787516,-1,723838,-1,-1,706093,-1,40653,397663,-1,264547,-1,946018,-1,-1,-1,508149,742716,-1,-1,-1,331253,-1,-1,-1,-1,25797,-1,-1,-1,231595,505937,-1,-1,455740,843809,373183,360538,-1,90839,-1,123312,-1,512468,710345,971512,498449,848611,-1,348798,-1,-1,-1,-1,-1,-1,295814,-1,-1,750684,-1,-1,-1,-1,-1,-1,648375,421344,841519,547544,782367,-1,-1,609964,-1,-1,-1,267286,-1,-1,733378,636306,561561,176039,998612,-1,921384,-1,691938,-1,464198,969746,-1,-1,-1,-1,-1,-1,47743,711796,-1,274460,608584,462313,581499,548997,-1,25463,852701,661957,744992,646796,67968,-1,-1,820469,-1,-1,138103,-1,-1,482562,-1,493072,-1,87813,408049,804512,739348,-1,-1,-1,597628,-1,-1,600529,-1,761732,-1,312074,326756,-1,-1,940411,-1,-1,-1,-1,162366,745116,-1,250701,-1,-1,-1,-1,-1,-1,947485,-1,938591,785529,-1,-1,-1,824073,-1,414665,-1,-1,-1,-1,918452,987868,465242,-1,890127,-1,-1,291465,-1,355861,-1,-1,-1,-1,-1,674877,951411,72477,-1,-1,-1,133277,-1,-1,-1,-1,-1,82998,-1,63307,-1,-1,15160,539877,-1,332065,-1,379265,476044,-1,138317,-1,824753,-1,-1,312919,685131,-1,34857,-1,-1,-1,356447,-1,855381,105762,-1,-1,-1,-1,311938,301523,898121,-1,-1,-1,-1,-1,271936,-1,-1,688606,-1,-1,897105,-1,-1,-1,-1,704330,757953,-1,838798,-1,560682,925027,-1,631347,-1,-1,-1,-1,476713,548568,374367,641998,-1,444026,-1,-1,-1,53271,-1,287387,641767,831050,177578,313861,-1,-1,-1,607774,-1,923021,-1,483053,-1,655163,-1,-1,477589,-1,-1,569594,-1,542965,348788,-1,939638,203063,772995,-1,792364,165550,360263,-1,106484,-1,11535,756382,462850,-1,-1,603870,310689,-1,-1,-1,-1,935015,451458,429610,-1,-1,172167,745458,-1,-1,226334,-1,631554,-1,844824,-1,633927,-1,61837,-1,981321,-1,821700,679422,-1,-1,907366,244414,-1,216572,31474,385781,-1,822937,-1,-1,892049,-1,-1,928549,561541,-1,-1,194021,-1,532796,-1,-1,-1,67661,386795,-1,-1,-1,-1,-1,303235,96377,598869,-1,-1,54176,-1,962378,-1,-1,-1,-1,820363,-1,-1,-1,-1,755964,-1,859358,289508,680846,906255,489338,401070,613023,477235,-1,351641,341907,914170,645595,-1,621045,-1,743325,-1,26106,309741,-1,-1,516496,767640,-1,-1,-1,743568,-1,-1,672939,655229,105815,708370,-1,-1,576776,-1,-1,783461,-1,978897,286757,741908,-1,-1,-1,-1,651953,982546,-1,-1,-1,516631,-1,-1,-1,37050,-1,572965,-1,452229,-1,10034,248580,544819,203392,-1,451203,-1,-1,-1,-1,-1,-1,-1,902245,-1,982810,772498,-1,474869,265954,292009,635011,-1,-1,428115,897323,861505,-1,-1,161100,-1,1552,206061,154555,441768,-1,-1,705190,-1,-1,201449,489946,898389,-1,243623,-1,300769,211405,-1,797306,-1,909608,760637,-1,130291,-1,-1,698698,-1,702304,636114,-1,264306,421286,-1,448650,-1,395208,20767,-1,254204,-1,60921,-1,-1,-1,418190,181681,103317,359613,-1,-1,-1,-1,896320,669462,-1,-1,390024,-1,558808,-1,-1,-1,175005,668414,805689,-1,-1,-1,-1,-1,-1,749002,860677,-1,134290,56336,290778,381729,-1,571193,-1,-1,536635,886482,379284,-1,57626,726190,122508,-1,-1,161265,-1,409695,402229,-1,372864,-1,-1,-1,-1,-1,191597,-1,929025,777365,944260,-1,411561,-1,828535,413677,810136,-1,-1,26509,863270,142105,874019,227454,14307,727501,153793,460667,-1,454237,464013,423032,-1,271178,670599,386478,-1,63349,206982,806512,562032,999694,733542,-1,56492,445634,-1,-1,-1,-1,-1,283690,243626,253946,861338,-1,289055,-1,541432,-1,-1,716859,99810,-1,-1,835328,-1,135270,692084,-1,-1,-1,243138,858831,897150,349373,336656,-1,-1,-1,-1,481214,-1,-1,-1,-1,549707,-1,-1,620782,840161,-1,-1,420980,-1,-1,365578,-1,-1,-1,504964,-1,-1,-1,882278,-1,935603,-1,-1,957273,575528,826343,-1,-1,-1,-1,-1,-1,-1,995491,394082,798884,344126,-1,-1,-1,-1,531014,796507,-1,-1,-1,666749,540478,-1,-1,47583,-1,-1,988274,-1,557946,103717,373149,125819,-1,-1,104670,156857,896963,-1,994783,-1,-1,380346,195700,-1,-1,-1,-1,-1,-1,532968,273647,899650,-1,-1,679534,-1,-1,573933,-1,951091,798870,109818,-1,526748,725006,-1,723945,-1,291291,384183,-1,-1,-1,-1,452990,84124,812687,-1,-1,-1,-1,-1,-1,778838,-1,-1,602014,-1,457613,-1,-1,14020,846772,-1,-1,725357,-1,-1,546243,179172,-1,-1,-1,-1,185277,418835,28770,647846,391432,809484,546454,-1,949691,-1,-1,-1,-1,350418,-1,542186,-1,-1,588765,941129,-1,-1,993755,-1,639792,162772,-1,997453,-1,557250,954840,602327,533006,-1,-1,729074,301463,-1,-1,-1,500356,-1,-1,947487,527166,227398,-1,612183,220292,-1,-1,-1,565630,-1,882544,-1,938126,804542,598966,641995,153148,955631,-1,-1,-1,660542,564367,845043,-1,-1,57405,713624,682373,-1,-1,892940,-1,787062,-1,986938,-1,748826,545515,850277,-1,-1,-1,-1,320859,675490,4546,-1,-1,688810,-1,122651,705595,416751,30483,-1,-1,-1,473758,486620,-1,923,432805,-1,633210,761401,-1,329337,573430,328454,-1,419068,-1,-1,331878,308995,507561,-1,153466,383386,-1,-1,-1,-1,-1,-1,-1,-1,120109,-1,86798,630195,220555,-1,332086,893843,722206,-1,-1,814099,326221,-1,-1,347849,450008,-1,-1,-1,478111,409429,915494,233654,435207,136030,978387,610631,-1,581100,-1,664513,239095,-1,531404,758882,-1,-1,797391,464089,-1,-1,927954,-1,73307,373072,-1,824802,-1,762756,-1,160218,-1,-1,992519,136094,253990,-1,-1,876278,-1,377714,19750,-1,12797,-1,-1,-1,-1,301466,137432,-1,-1,320046,-1,-1,440926,-1,-1,-1,845778,-1,-1,-1,270880,-1,-1,266946,-1,-1,857175,-1,65845,789795,-1,-1,644700,-1,-1,876531,262553,-1,-1,695563,-1,386727,-1,575636,727375,-1,946268,408800,827671,287775,188872,751947,705769,-1,-1,-1,960078,-1,522846,760100,443072,165286,-1,-1,383547,-1,-1,811746,611275,789584,-1,408400,-1,508479,-1,-1,-1,837097,793901,10488,-1,382488,-1,677067,-1,-1,-1,-1,617610,-1,-1,749443,-1,420878,590256,-1,-1,765688,674176,277020,621733,59193,-1,859816,63306,935020,132267,-1,586014,868560,-1,134873,-1,30742,-1,824722,-1,-1,755531,-1,-1,874145,637115,632413,444235,-1,-1,944837,-1,-1,-1,925534,-1,-1,-1,-1,478648,-1,985495,-1,-1,-1,838590,-1,463666,-1,466623,773752,11999,-1,-1,-1,-1,-1,-1,613314,-1,176645,914260,-1,455934,297678,-1,236459,409433,342375,-1,-1,994291,544970,-1,-1,273292,-1,70863,-1,-1,-1,8266,433563,620910,573548,-1,-1,246014,-1,69100,-1,-1,501958,-1,850369,398110,-1,844015,781262,-1,855016,43079,263369,-1,60643,296306,93466,-1,302794,975778,-1,322809,940930,-1,829717,623676,-1,161123,425950,-1,-1,325781,-1,869774,-1,584064,866361,-1,703348,-1,192780,860779,376681,226094,-1,261462,656869,-1,575224,794533,-1,49914,158943,645217,-1,940155,-1,540627,526269,901026,487085,938052,754156,-1,803452,-1,932,2022,707681,-1,-1,-1,-1,-1,-1,-1,89168,760029,-1,161436,106116,34497,-1,678695,-1,-1,856304,-1,-1,-1,162899,37491,92282,540050,-1,63459,427013,-1,-1,241597,603129,296700,-1,297045,160984,-1,762367,556268,210499,862090,796700,-1,344648,-1,-1,-1,679770,-1,-1,-1,-1,-1,999306,933952,-1,-1,813437,-1,515921,670469,-1,387763,422395,-1,619624,-1,-1,-1,-1,-1,225368,-1,-1,-1,-1,158573,434463,-1,160909,793166,-1,465213,-1,411759,-1,583321,350924,-1,-1,244716,-1,-1,102963,624774,-1,931723,-1,621450,-1,803405,320165,-1,427128,535395,-1,-1,897287,-1,156532,-1,388347,83285,765679,277180,628023,-1,-1,-1,-1,-1,446902,915857,877220,578289,-1,-1,-1,-1,153970,869698,-1,-1,494054,416304,365128,85879,-1,-1,-1,-1,-1,678795,-1,63502,-1,396651,741695,351553,-1,626570,191917,559008,-1,-1,-1,-1,770718,-1,-1,42995,957478,-1,-1,-1,-1,-1,-1,-1,353109,-1,-1,662431,676699,50699,585804,-1,912203,726931,-1,299502,-1,51543,-1,-1,345429,-1,-1,638600,-1,810597,368842,-1,-1,-1,695742,760077,394053,-1,-1,757365,-1,977400,58423,-1,-1,-1,31868,-1,-1,362385,-1,208515,217176,-1,-1,-1,793115,-1,500072,-1,-1,-1,-1,-1,366242,-1,273859,17327,181027,544990,978290,-1,349583,554666,-1,-1,-1,-1,-1,-1,-1,802373,-1,-1,616747,981539,-1,-1,906779,930245,-1,799327,-1,110123,244835,-1,456294,337088,802858,786202,639411,165755,-1,-1,-1,285616,-1,-1,-1,-1,99167,-1,-1,924798,385425,-1,975785,578608,103746,539240,219308,-1,-1,772548,-1,913520,114122,-1,-1,-1,-1,554992,928460,146347,-1,265126,-1,305795,731905,-1,753323,-1,409538,-1,-1,942969,-1,-1,645722,466245,315089,402141,-1,545375,335048,-1,-1,-1,583257,-1,273243,-1,-1,538126,-1,394317,945687,681072,315521,-1,407645,647624,-1,337033,-1,-1,-1,-1,-1,118883,-1,-1,907400,516417,-1,-1,-1,-1,829658,593175,546572,533659,-1,-1,665105,-1,182715,751072,-1,376026,484469,-1,-1,-1,572539,461290,-1,25457,73865,-1,-1,210500,-1,-1,-1,264086,991179,-1,-1,-1,-1,-1,643748,283392,335857,-1,-1,-1,532725,-1,769068,696932,933022,-1,-1,-1,-1,-1,-1,-1,-1,-1,470258,-1,-1,-1,-1,-1,727790,478145,-1,-1,553876,-1,446335,481537,-1,750883,170158,741556,-1,91701,436342,-1,-1,-1,470987,673522,-1,-1,-1,-1,-1,-1,-1,498721,-1,-1,-1,976520,711884,920979,-1,-1,140323,-1,541795,22787,725408,-1,-1,-1,-1,-1,-1,998430,-1,-1,763030,293330,-1,-1,-1,250072,-1,-1,-1,58135,-1,-1,192556,-1,536391,-1,-1,-1,-1,441657,-1,-1,-1,-1,-1,764554,-1,257643,641467,459908,733173,-1,241531,339610,586114,-1,-1,146301,773562,-1,-1,-1,799773,530890,818331,116233,-1,-1,43030,-1,51276,289148,-1,-1,804138,529766,113684,-1,-1,414337,-1,863193,210083,-1,-1,-1,-1,406143,663153,-1,-1,496708,-1,937192,720077,-1,626960,-1,982828,706861,379744,328479,949926,-1,914518,335158,-1,328772,-1,-1,-1,782977,48778,-1,641089,-1,-1,-1,913627,539737,-1,983205,85633,609938,-1,-1,404444,373847,917075,331835,263309,-1,784020,968697,536268,451228,-1,-1,301773,-1,-1,-1,-1,548360,620922,-1,237839,-1,-1,-1,848357,981568,-1,-1,-1,-1,-1,608767,-1,514628,517796,-1,-1,517090,-1,519003,502277,-1,227692,614218,503986,-1,370338,-1,67895,-1,-1,-1,295643,-1,498174,891681,-1,709156,852647,-1,895066,932129,895296,-1,-1,999529,689048,96625,-1,-1,989495,-1,499821,453,-1,-1,521590,-1,-1,449272,-1,-1,-1,-1,-1,-1,263113,-1,899877,-1,999611,104521,961774,-1,-1,201784,-1,544925,947251,86536,236570,133331,523529,990137,929627,564009,-1,-1,343604,820659,579582,141115,-1,849479,-1,-1,252703,405427,867610,718314,625256,647057,-1,550,917235,522120,-1,-1,-1,502711,460645,803591,-1,-1,150361,-1,256977,282132,-1,849142,-1,163901,-1,-1,158412,-1,761594,-1,-1,540568,-1,793789,-1,600628,668899,-1,265605,-1,374723,-1,-1,-1,670684,-1,428250,325980,-1,-1,664864,-1,-1,-1,521452,685739,885630,216173,-1,406197,-1,-1,-1,942206,-1,449305,-1,957745,-1,601523,978186,100503,-1,155460,30341,701890,553051,-1,566096,34348,-1,967535,259905,-1,-1,-1,-1,281066,-1,304974,-1,679811,156900,-1,890460,-1,917371,541896,636104,935310,869171,-1,-1,806147,-1,-1,836651,835240,494500,-1,-1,145756,97967,-1,-1,402029,738249,441158,-1,-1,-1,553494,-1,315946,597389,812697,440147,45762,-1,-1,-1,-1,464860,843120,-1,-1,-1,-1,-1,-1,592531,563316,-1,-1,-1,-1,-1,-1,931901,-1,383680,-1,965056,-1,-1,-1,-1,732559,-1,417058,180453,203845,-1,331732,34083,-1,-1,44635,40831,-1,965984,963690,464393,-1,-1,-1,-1,-1,-1,970103,948952,912327,721187,171635,82488,499713,-1,-1,-1,-1,-1,-1,73304,-1,-1,-1,968573,922842,-1,601392,-1,-1,-1,769691,-1,-1,952975,35631,244484,-1,-1,704424,-1,-1,-1,-1,318110,409324,-1,-1,-1,-1,-1,-1,957240,694289,-1,254073,-1,-1,379212,976633,-1,168773,-1,-1,-1,-1,-1,535950,-1,463123,35621,-1,-1,-1,-1,-1,-1,-1,442535,708019,98014,402691,-1,-1,433373,390001,-1,-1,737407,802158,117555,-1,-1,-1,171956,474206,80641,845844,126698,-1,420246,-1,-1,614605,929473,-1,538484,93138,-1,167202,655255,292244,-1,-1,-1,942891,644624,-1,88077,-1,817086,515754,568902,-1,-1,960530,-1,-1,623451,-1,-1,-1,-1,974325,-1,324675,4480,-1,441917,-1,939356,452680,-1,-1,515405,-1,316309,-1,646877,627868,480603,73691,-1,-1,-1,-1,469852,-1,726753,273856,-1,-1,-1,922930,-1,-1,678426,-1,-1,-1,746891,-1,-1,574622,733961,900900,674059,702564,-1,565960,309917,-1,-1,-1,-1,-1,-1,368952,348803,213859,-1,-1,630793,-1,-1,-1,822521,-1,-1,19624,-1,324649,168031,-1,209537,823601,641589,909596,-1,300422,-1,-1,-1,881837,-1,88788,-1,850590,491134,444464,-1,-1,911630,-1,-1,238260,-1,829306,106047,-1,36315,-1,-1,501618,-1,-1,51483,185220,792723,-1,563216,250837,-1,842443,-1,-1,643175,209314,751572,430048,803780,-1,-1,-1,-1,-1,-1,549338,332258,508775,-1,-1,-1,386748,192511,-1,-1,-1,-1,-1,514480,299154,829431,451852,-1,868547,246596,670135,47638,568184,817275,112046,530358,-1,-1,844852,418865,833157,-1,144948,-1,-1,-1,-1,-1,158475,-1,-1,-1,912861,-1,-1,734146,-1,-1,-1,-1,-1,44736,893733,798850,693540,510517,542152,810080,-1,-1,-1,690275,523724,549334,-1,470907,-1,-1,854770,-1,-1,829713,589394,-1,516746,-1,964889,-1,-1,-1,-1,111052,-1,784385,-1,-1,-1,420558,-1,560340,218768,-1,168205,480044,501140,-1,320479,807657,-1,-1,-1,198031,359907,-1,-1,248888,359634,602196,-1,-1,-1,-1,303120,-1,997933,-1,-1,257146,725954,-1,149501,-1,283709,31185,-1,234264,764932,214456,-1,161177,-1,434336,-1,-1,371413,376117,-1,521085,495083,-1,22239,334511,682899,-1,710582,-1,-1,650177,347752,-1,367946,-1,-1,-1,217390,-1,347837,80192,-1,637513,-1,717966,-1,-1,-1,-1,-1,985531,-1,336646,60681,-1,-1,552479,-1,-1,-1,295383,611689,-1,68226,-1,792432,-1,-1,777810,390561,-1,-1,266165,249032,-1,532252,-1,544630,-1,967416,796097,-1,299614,-1,-1,-1,563028,346952,-1,-1,-1,-1,-1,-1,-1,204337,988357,309457,-1,134055,385965,-1,591579,-1,-1,203769,-1,-1,-1,-1,499694,497050,66624,636571,-1,115993,-1,-1,-1,-1,-1,711372,366967,831202,-1,-1,261652,314594,277215,-1,-1,-1,-1,-1,-1,257382,852466,301284,106775,-1,-1,-1,-1,-1,808648,177194,993040,796501,-1,-1,331533,141577,321530,-1,-1,786983,-1,885291,372502,-1,-1,-1,-1,239593,-1,773404,163027,-1,-1,-1,-1,-1,599031,874482,-1,167109,877761,-1,-1,-1,-1,-1,492478,-1,-1,-1,-1,-1,120241,-1,-1,-1,551830,45705,937189,-1,-1,-1,-1,247497,-1,-1,-1,-1,-1,-1,-1,-1,980184,-1,987942,-1,-1,-1,-1,-1,-1,733131,379917,439406,189547,161087,-1,-1,-1,710960,-1,612712,-1,-1,-1,640627,-1,225326,-1,871895,958447,781995,-1,638498,679171,708850,-1,-1,-1,-1,-1,-1,-1,-1,640182,100423,220050,435485,-1,-1,-1,906770,38403,8509,176867,-1,-1,105782,195230,186107,961718,-1,-1,652314,-1,-1,-1,170028,694266,587313,242031,745992,-1,124585,-1,-1,714199,115403,-1,801556,-1,375498,-1,237303,45272,13329,-1,746449,-1,743554,365730,189163,482588,-1,-1,388488,-1,-1,-1,-1,-1,286154,-1,163308,-1,720304,-1,-1,-1,648153,-1,686736,720943,-1,-1,-1,-1,752040,777520,112734,-1,85912,-1,646660,814139,-1,-1,-1,-1,733787,-1,409131,-1,-1,464297,392777,-1,131536,720452,542091,657294,-1,-1,656956,339912,-1,-1,-1,361651,-1,599520,-1,47141,53064,-1,-1,-1,200038,826252,887212,206134,-1,-1,-1,772563,459567,733046,900715,-1,863392,-1,-1,797672,479082,-1,-1,477208,849886,256241,-1,-1,-1,329583,-1,66674,-1,804534,497490,98548,-1,-1,627848,122516,93299,830923,59519,-1,396391,-1,114072,-1,-1,-1,-1,-1,325489,593947,827372,-1,-1,-1,-1,557917,-1,522599,867213,-1,324848,637693,-1,-1,33999,661790,-1,234647,-1,777036,-1,-1,287467,-1,-1,108059,782347,-1,-1,-1,860825,823753,57293,30156,-1,-1,-1,-1,381441,240327,590613,217909,-1,16684,243502,-1,545217,464659,-1,590712,423474,-1,400496,101996,917656,210479,-1,18076,387761,153939,-1,305712,-1,-1,780577,664581,967342,-1,-1,408331,-1,866460,-1,-1,-1,153927,138094,-1,-1,-1,-1,-1,164081,-1,411073,936328,-1,-1,446247,-1,815858,-1,-1,-1,279820,-1,578809,-1,-1,577435,-1,81286,-1,108293,228027,-1,-1,-1,873818,-1,-1,463311,989201,343288,29004,716950,-1,376716,-1,180325,-1,551228,498735,-1,-1,-1,342505,-1,337604,739018,-1,-1,-1,126358,95345,808789,226116,815461,470803,-1,-1,228607,111781,-1,-1,734116,404075,12641,119570,-1,-1,434722,-1,412296,-1,-1,-1,295198,-1,-1,-1,366250,471247,286837,847633,66812,-1,-1,565769,-1,284292,-1,-1,-1,-1,-1,369613,-1,-1,-1,-1,-1,463663,-1,870657,755282,969302,77021,-1,111804,-1,-1,-1,210710,751507,340396,214084,-1,524812,-1,481024,-1,369086,424929,361330,992727,-1,187461,-1,-1,392549,-1,-1,-1,-1,25191,-1,-1,437052,728396,-1,-1,-1,779460,255617,-1,-1,-1,149996,26795,-1,845356,-1,-1,906652,8703,766222,427908,543541,11236,321102,-1,-1,253073,-1,258422,-1,-1,48032,-1,-1,184146,-1,-1,-1,-1,384995,-1,516642,-1,-1,-1,357049,576690,310531,-1,353675,394667,628362,134723,-1,171037,838353,-1,-1,450387,-1,713620,750320,252189,509515,914296,-1,-1,755242,27379,64424,-1,-1,-1,15986,772920,-1,-1,18550,818675,-1,-1,480993,803569,-1,690147,-1,-1,-1,-1,877771,-1,-1,-1,-1,-1,762273,725,-1,124893,745982,-1,999197,-1,-1,-1,514840,-1,543734,-1,540016,-1,-1,431605,-1,-1,-1,-1,-1,-1,504004,-1,449356,275195,133520,-1,321510,-1,34132,-1,110925,-1,-1,781009,-1,198051,437102,-1,841093,-1,19275,446857,629793,-1,-1,-1,403738,-1,-1,-1,310698,-1,-1,-1,-1,255083,-1,-1,-1,675525,273017,-1,-1,77940,-1,-1,-1,44861,800366,-1,17667,-1,-1,606412,963219,994404,-1,-1,605987,187583,44365,-1,186988,-1,-1,494673,845446,203816,484471,748595,475404,506864,-1,384249,-1,96146,-1,-1,769413,786709,-1,767090,554664,-1,-1,-1,-1,588412,-1,172765,633729,-1,-1,-1,462367,-1,-1,136424,142068,418144,-1,-1,473498,701401,-1,358209,-1,-1,81589,-1,-1,279230,866623,769260,-1,-1,344869,-1,-1,-1,578329,-1,541285,-1,753831,322202,-1,-1,525177,-1,-1,-1,800024,906313,614964,-1,-1,359296,-1,-1,94166,834898,586475,-1,-1,-1,-1,404157,537047,-1,-1,-1,973618,-1,-1,-1,-1,-1,64031,-1,-1,-1,-1,-1,-1,858505,463988,559845,-1,-1,866030,709088,85083,355410,-1,-1,-1,-1,-1,-1,191202,262933,900222,487576,266102,91838,433598,-1,983621,820346,-1,-1,629491,443097,120038,799848,26985,-1,116756,447388,284977,439229,-1,-1,-1,-1,-1,-1,645472,-1,-1,284930,741107,583568,335177,331501,847451,148757,424060,-1,401693,-1,-1,997952,-1,-1,376110,-1,-1,971211,-1,761363,284671,354741,-1,565691,-1,682246,-1,6247,-1,559656,-1,-1,697755,878044,89998,-1,976686,957658,312250,55851,-1,791246,-1,720585,966808,863076,-1,-1,-1,666926,-1,509247,-1,-1,-1,111927,-1,374003,244093,421949,879381,837533,544853,586489,-1,-1,-1,831696,215130,-1,987816,402278,-1,-1,-1,562397,-1,-1,-1,605130,-1,466331,287817,-1,-1,-1,-1,941533,-1,-1,320092,-1,562429,7774,-1,-1,-1,-1,996487,360656,114125,791427,-1,850342,631764,-1,254304,259375,735463,-1,-1,988876,329311,-1,-1,625077,-1,-1,305108,716956,931405,-1,983438,765462,-1,-1,-1,173483,959144,-1,921159,675260,-1,-1,-1,435974,-1,856048,-1,453160,-1,190080,238455,-1,796242,-1,330427,420616,824650,840433,965125,16619,365832,560724,298504,-1,-1,-1,803493,-1,660033,287882,-1,-1,779598,576553,-1,-1,158666,141619,655026,20928,-1,970524,603396,-1,36905,-1,569091,215192,-1,-1,765147,-1,-1,292086,779925,-1,141423,-1,-1,-1,588178,918321,-1,399034,-1,-1,578345,718904,-1,106141,161608,448170,635489,-1,988979,-1,-1,-1,-1,491880,651048,-1,439832,-1,-1,-1,352920,-1,933338,-1,-1,-1,-1,846226,525968,-1,626327,965013,667408,917166,-1,-1,-1,58736,-1,-1,234065,26848,-1,271162,802238,108961,-1,52514,-1,669591,260207,33658,887379,-1,-1,-1,735015,795262,-1,803462,994450,-1,-1,-1,-1,-1,911918,-1,-1,858320,948948,-1,393141,-1,564899,484934,996730,961707,-1,-1,346573,388969,-1,-1,-1,-1,239656,271690,398093,313522,-1,-1,802013,-1,-1,115416,412428,-1,-1,40858,798939,-1,-1,151394,-1,-1,-1,-1,884587,594230,-1,-1,-1,-1,288456,881928,-1,-1,535836,660486,-1,877531,496631,-1,389132,297597,-1,-1,576791,738582,-1,-1,988272,423494,-1,-1,860473,-1,202841,-1,-1,-1,479710,-1,151468,494067,-1,287532,382248,88967,-1,874252,-1,79232,997267,28141,-1,346894,-1,-1,227201,957689,-1,-1,-1,-1,-1,-1,426900,-1,-1,-1,-1,-1,-1,889657,155320,265571,-1,-1,340087,-1,-1,481906,374464,798783,-1,-1,711681,150391,-1,464134,-1,-1,552615,-1,187060,958496,-1,718867,481830,-1,190126,-1,-1,-1,639392,-1,982155,-1,-1,-1,-1,696175,198090,-1,892730,907485,994985,684047,49600,-1,878906,-1,-1,-1,221679,-1,-1,-1,263641,44251,-1,-1,-1,218862,29944,354264,966118,148977,105456,-1,-1,-1,381757,-1,112359,367553,-1,399901,76931,-1,973957,-1,-1,-1,637327,-1,-1,-1,106998,611928,-1,663325,-1,-1,-1,-1,163682,830474,-1,-1,-1,46516,764530,-1,-1,387486,-1,425771,734141,471929,-1,-1,374571,-1,159939,-1,-1,237678,625269,400423,-1,-1,767249,-1,149674,-1,155336,533064,475271,569268,-1,-1,-1,-1,-1,-1,566604,-1,-1,612202,-1,701697,-1,-1,51798,278889,616709,-1,-1,509442,-1,836119,-1,357452,-1,-1,731056,37109,-1,29542,617643,-1,387019,17707,236831,-1,-1,929910,-1,-1,691411,931302,405607,30712,80372,-1,-1,37709,-1,-1,-1,33447,237567,-1,92538,404026,12472,35927,565302,932835,-1,-1,-1,166031,-1,143806,-1,-1,232443,945684,301528,575945,815905,41926,571668,-1,279357,-1,-1,88389,35810,6264,608237,424877,750179,712954,923508,746927,942949,-1,-1,107555,539656,-1,-1,-1,-1,-1,-1,601849,-1,118133,23343,483673,74623,-1,956545,-1,-1,-1,-1,736398,-1,180390,605635,233753,416613,-1,909178,-1,169153,542182,382853,-1,572061,-1,-1,-1,414916,-1,-1,24050,22257,127928,-1,285751,694710,809959,-1,536147,-1,189954,27012,-1,521768,-1,-1,-1,-1,984763,-1,474100,587010,-1,291963,-1,160533,-1,-1,378073,10897,366224,52920,-1,-1,-1,129188,278454,-1,-1,553563,583236,599402,-1,769387,-1,690815,482867,928647,-1,851542,-1,628205,473528,-1,-1,996542,-1,514660,89654,-1,626896,609435,470791,465885,-1,636734,803241,584294,963025,-1,509419,-1,-1,79075,595516,106237,-1,967461,-1,560476,799071,-1,355899,303574,-1,-1,-1,753124,241974,-1,-1,54384,715526,683330,-1,166164,-1,205218,-1,556502,801651,-1,-1,40710,-1,-1,914532,733820,50132,-1,-1,-1,912704,343726,626057,824124,-1,933792,-1,-1,-1,391331,-1,218790,-1,892792,291666,776139,-1,753381,391125,477496,288616,895813,-1,-1,798889,217156,-1,-1,468323,-1,512725,-1,300822,-1,350978,541467,424250,-1,849433,-1,386087,-1,-1,-1,-1,-1,-1,-1,-1,818136,-1,309379,906584,991039,-1,528778,374786,-1,-1,820941,22407,-1,-1,-1,732949,714003,987183,-1,-1,851344,-1,216048,534194,-1,-1,-1,-1,-1,937857,162296,653302,935691,-1,-1,923371,-1,155628,418145,-1,-1,709684,-1,621234,-1,-1,-1,-1,-1,-1,-1,-1,948709,556173,-1,754488,-1,597752,-1,-1,872155,-1,-1,-1,-1,421408,434889,413192,635422,-1,749538,-1,-1,-1,-1,-1,-1,272047,-1,-1,-1,582901,-1,753107,-1,508249,-1,-1,-1,315874,-1,337684,-1,63515,-1,318664,316788,985251,-1,133787,-1,-1,-1,-1,-1,-1,959273,-1,-1,-1,-1,137964,607156,-1,-1,715972,660523,-1,-1,-1,380838,898748,703424,183969,550891,-1,-1,-1,876965,-1,-1,-1,713438,-1,328126,67984,293870,560596,-1,-1,-1,-1,454379,-1,433282,-1,932058,400846,717705,605996,32278,691140,171183,991366,700104,778306,481483,-1,567919,-1,176454,197257,-1,-1,159854,236171,-1,670068,80944,-1,-1,-1,225401,-1,136468,80458,-1,445333,-1,-1,-1,-1,956259,301752,7815,-1,-1,916070,-1,659640,256223,26225,40529,-1,-1,250886,916265,-1,436263,-1,481594,-1,804181,163769,789322,333252,-1,325500,-1,-1,-1,513755,-1,117741,-1,-1,374266,-1,512428,-1,-1,652030,-1,73708,-1,889995,-1,-1,-1,-1,181120,-1,860209,-1,-1,-1,138578,839954,332926,-1,959565,980236,240495,-1,-1,26279,553945,291568,618833,35230,402011,178919,105294,552058,-1,736529,665194,-1,-1,-1,487371,-1,108003,-1,807407,720861,906358,-1,-1,48594,-1,858922,-1,-1,576786,-1,-1,-1,518897,-1,666254,37935,-1,-1,-1,60310,-1,-1,635851,-1,-1,-1,-1,170230,361877,-1,252391,36566,-1,-1,782923,-1,571470,365185,-1,768145,730667,507949,879065,-1,-1,-1,560929,-1,888010,81003,-1,-1,-1,-1,192006,569608,-1,605650,849098,-1,-1,962134,959309,-1,882379,-1,723880,-1,-1,-1,19742,-1,-1,-1,-1,730319,-1,-1,-1,-1,27940,829097,161508,241480,111429,456538,772163,-1,-1,-1,833006,-1,-1,-1,951355,-1,-1,-1,524431,-1,-1,-1,928302,978017,136307,-1,756770,-1,-1,-1,-1,-1,168344,14833,509526,176216,-1,-1,-1,435214,-1,-1,207378,-1,-1,809429,767063,993844,295809,286350,-1,403395,487896,501371,534118,-1,659232,4299,-1,-1,-1,257871,890626,327935,724340,428193,138196,455154,431435,737173,-1,-1,-1,583135,-1,757010,960212,-1,-1,53222,-1,-1,226976,711479,-1,-1,62614,-1,-1,-1,103788,628557,705862,517914,-1,-1,146874,-1,741597,302565,-1,136545,-1,93224,-1,-1,-1,490038,690065,944834,741069,567640,-1,-1,849442,543117,924885,506433,-1,649053,692415,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,561134,96730,-1,791831,-1,-1,273911,-1,966429,31723,872980,-1,387235,-1,45788,-1,-1,243600,-1,-1,-1,-1,561510,-1,-1,-1,230644,-1,898202,97442,-1,297792,572076,-1,-1,-1,-1,389852,88952,-1,-1,188545,70574,-1,-1,-1,626020,-1,51677,479503,-1,-1,-1,-1,688015,546167,-1,2173,971144,284071,-1,-1,83449,-1,886968,721679,595180,636336,649409,-1,937082,-1,-1,716777,270117,203401,-1,785743,-1,-1,-1,253340,-1,349928,342924,-1,338659,-1,-1,-1,151123,693640,962421,930533,-1,-1,667092,893876,429239,275474,651485,241261,458271,-1,-1,-1,-1,-1,-1,-1,-1,84874,-1,-1,-1,115698,786272,-1,-1,260498,905641,-1,734602,982891,21295,-1,-1,517273,636990,495347,15449,-1,-1,989298,167286,724749,-1,800881,-1,809055,-1,519627,-1,476851,-1,193752,-1,-1,546453,388376,195256,874406,392784,386406,-1,230820,-1,-1,367795,-1,-1,961315,-1,-1,-1,-1,726599,214752,184292,970503,-1,-1,-1,-1,-1,131562,-1,-1,881171,-1,114267,-1,-1,-1,-1,664516,759426,-1,734397,96041,-1,-1,-1,-1,-1,897027,608590,168976,-1,-1,647958,131065,-1,-1,953314,862789,865874,659442,824581,-1,609158,767329,-1,84179,707564,863899,-1,-1,-1,601506,684410,-1,-1,43593,-1,223068,151632,939178,927910,115750,763783,-1,748689,-1,467864,-1,874496,522014,-1,-1,483228,-1,-1,-1,-1,597790,-1,-1,-1,244582,32837,139027,-1,519000,-1,197273,-1,-1,556179,929723,-1,-1,-1,810246,-1,59877,-1,684263,-1,-1,513579,865005,651245,-1,674837,-1,-1,15994,829377,126697,-1,428918,389905,-1,-1,352527,267620,971194,-1,203489,-1,779096,39226,84884,81673,456285,951490,776394,537364,-1,-1,-1,-1,-1,-1,533371,225056,-1,-1,430335,187487,-1,778137,158950,-1,88163,-1,-1,433753,898819,857495,293303,-1,-1,-1,-1,-1,-1,-1,425424,-1,-1,397986,-1,42233,-1,-1,-1,-1,-1,133102,-1,-1,978775,144004,135786,178487,205150,17206,38531,848761,-1,539104,974704,809681,-1,-1,-1,510262,410439,-1,-1,-1,-1,-1,552878,854127,188085,-1,-1,751172,-1,-1,-1,-1,140747,-1,-1,-1,-1,-1,903927,-1,-1,625238,747940,729959,-1,479912,179167,-1,449141,-1,551838,561646,198948,-1,-1,828258,-1,-1,-1,-1,96884,494189,-1,-1,523540,-1,-1,955054,380245,-1,56646,-1,-1,-1,-1,-1,700462,-1,278274,595675,738811,577232,160578,334568,-1,-1,99200,343760,842661,286949,-1,668691,674236,120324,-1,-1,-1,-1,-1,-1,-1,-1,-1,523402,339881,404745,182999,799431,115260,15619,-1,207333,914516,-1,-1,296647,947019,457615,-1,476670,481057,22963,181622,554963,-1,-1,854746,-1,-1,-1,769234,53347,-1,468175,-1,271180,146772,-1,824924,-1,855269,-1,343196,783387,389795,-1,-1,44912,624771,253814,-1,-1,45554,16740,-1,571945,-1,-1,-1,709175,796232,441291,459947,-1,-1,206002,60169,525689,113650,-1,487634,390709,-1,554390,-1,-1,-1,859670,-1,-1,-1,252243,-1,-1,-1,89025,376410,-1,-1,703459,-1,-1,-1,-1,844256,7299,303049,-1,-1,-1,164791,-1,-1,-1,395156,-1,-1,711096,-1,483096,729951,-1,254299,466037,185318,629132,-1,871916,869068,309607,-1,-1,-1,304858,427366,-1,313698,96814,90038,731194,245906,-1,421412,969762,171362,594749,-1,101399,-1,-1,-1,304201,76515,-1,444680,-1,-1,-1,713747,-1,-1,-1,520025,-1,-1,-1,557928,-1,660312,208146,-1,-1,34390,-1,-1,555571,97764,464952,217153,-1,276047,18673,526666,-1,-1,394670,-1,-1,-1,342058,639196,38168,-1,-1,571475,-1,-1,114026,-1,-1,705424,-1,-1,369116,713688,344899,495940,810910,379276,672821,303247,845477,-1,371267,-1,-1,-1,-1,-1,589456,-1,-1,616346,460589,-1,393477,-1,710494,-1,-1,493198,-1,-1,-1,839729,873538,-1,-1,547685,-1,-1,-1,542798,264495,-1,974963,-1,-1,564627,-1,519046,661697,-1,388751,-1,-1,-1,-1,-1,579807,202693,289168,-1,-1,-1,924461,-1,488849,-1,302303,284197,-1,-1,-1,-1,-1,-1,715302,240299,470939,-1,-1,-1,981783,81707,440379,-1,80268,227508,504412,394112,-1,614824,-1,822497,513960,-1,571939,887362,-1,-1,-1,388743,21905,-1,-1,878671,873610,-1,-1,672017,-1,503572,-1,107763,-1,-1,199990,342668,-1,484214,510325,159098,50538,839219,777472,142706,154038,869507,295667,-1,-1,-1,873068,-1,-1,-1,359155,352949,-1,546988,26260,-1,-1,-1,-1,495935,-1,-1,-1,-1,894138,-1,-1,-1,661282,507314,-1,608614,-1,-1,-1,-1,-1,181344,579049,610108,-1,160903,151250,-1,-1,-1,-1,-1,263526,-1,-1,-1,-1,804439,912602,128933,353903,330907,854308,316884,-1,646721,-1,687279,-1,461836,170341,199321,-1,-1,23349,617089,-1,453185,214036,-1,479739,821495,17214,891481,171629,-1,-1,934774,768774,-1,675612,798707,-1,811074,470596,-1,749164,-1,549643,416411,560349,657696,-1,636363,-1,267555,75863,539402,-1,265745,-1,-1,407304,43091,-1,-1,626477,-1,614151,811051,972541,200701,84799,-1,927801,-1,-1,971136,857041,-1,881925,-1,298192,-1,-1,-1,-1,392263,-1,280025,-1,59587,-1,-1,936973,-1,87338,-1,911804,132624,-1,919261,-1,817411,110778,798811,329489,591440,471944,-1,-1,-1,274326,333248,245107,-1,638383,670709,-1,928001,421333,979811,398534,843696,-1,389254,684953,610993,-1,492072,609275,-1,831705,941065,2353,-1,-1,969671,-1,-1,-1,-1,510209,-1,939324,-1,559891,938947,-1,-1,780762,-1,-1,-1,217893,-1,414448,546310,362799,618090,992860,-1,-1,-1,524633,350238,356133,-1,-1,-1,-1,-1,607910,-1,152124,-1,-1,56549,-1,773510,-1,940053,-1,745681,394406,-1,467174,527897,-1,-1,623095,366708,-1,-1,-1,-1,960099,-1,529324,706422,-1,-1,356022,-1,581176,7732,-1,-1,832148,-1,-1,-1,-1,-1,240428,444742,576745,227593,570409,-1,156119,-1,-1,265274,-1,323141,-1,926980,914285,982013,-1,850307,73325,121446,-1,-1,-1,873227,-1,-1,-1,-1,-1,450468,-1,50258,111569,205118,606647,863171,290731,-1,-1,-1,511797,-1,-1,-1,-1,328248,-1,431462,-1,259986,-1,-1,-1,424150,677336,-1,981408,581241,550136,-1,666323,869383,164762,729652,-1,-1,237278,674809,998134,581604,-1,786098,97177,-1,689292,260158,-1,-1,-1,950252,-1,846908,541255,162137,574054,816937,189250,-1,-1,-1,-1,61455,1553,853779,188169,-1,-1,897995,-1,-1,-1,-1,-1,838997,-1,577332,-1,-1,146147,633269,-1,-1,-1,332491,-1,-1,-1,-1,125771,-1,-1,-1,266488,-1,-1,179209,-1,-1,-1,236338,-1,946694,687920,638001,-1,988014,172215,866258,-1,673616,-1,-1,94657,462409,466189,-1,55567,849722,272722,165931,225844,-1,-1,595392,668407,-1,481663,999770,-1,-1,539746,248529,548848,124657,401215,821294,339568,312702,306981,-1,361236,-1,639889,242758,534155,422988,-1,-1,649819,364057,-1,-1,953970,655547,-1,319041,-1,911980,652498,723794,671648,-1,166084,301417,640394,-1,-1,495996,-1,-1,560561,-1,709941,716608,328065,-1,595474,-1,-1,-1,-1,-1,764479,927813,-1,-1,-1,-1,-1,585726,668682,-1,-1,-1,-1,282343,-1,599230,-1,280969,-1,-1,711384,-1,349409,117250,-1,-1,456371,670863,-1,799271,-1,273875,617688,-1,-1,-1,768655,632885,167270,922746,-1,-1,262896,-1,24372,-1,12566,909349,288644,-1,-1,141566,389870,-1,-1,-1,-1,826041,-1,186823,531705,-1,-1,-1,-1,-1,422701,47746,379291,-1,-1,-1,812893,-1,208673,-1,729187,336216,343992,484334,964301,665911,94071,960798,-1,79773,352103,-1,146829,410659,498833,-1,-1,-1,-1,-1,875559,-1,728869,585458,-1,295597,-1,-1,-1,-1,872662,44385,254736,-1,-1,173234,-1,-1,-1,-1,577324,-1,671312,686955,146226,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,764219,21865,-1,953429,300735,688800,-1,897849,333846,-1,-1,-1,883430,530672,-1,-1,-1,712607,246899,354892,903110,-1,474554,900610,-1,-1,249510,524006,-1,-1,-1,994381,934804,959018,85237,431764,145781,-1,-1,317495,-1,-1,-1,-1,785747,563630,527345,244029,-1,216912,65353,-1,-1,459518,-1,-1,691678,631234,-1,-1,-1,-1,623548,779809,-1,139212,-1,-1,336446,-1,-1,151283,-1,-1,-1,494366,-1,-1,-1,568673,-1,438082,-1,-1,686715,-1,576486,-1,516047,208309,-1,-1,-1,-1,-1,198635,421362,-1,-1,368463,208744,-1,-1,366411,-1,-1,919149,-1,510722,-1,-1,100851,-1,-1,-1,113047,-1,987467,890896,-1,685476,-1,-1,989809,265940,914163,149863,139807,-1,-1,189823,-1,-1,-1,-1,4985,20985,-1,999555,-1,845956,316522,326087,-1,-1,-1,576815,-1,-1,926092,98435,793385,797813,810074,596897,716788,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,241720,-1,-1,423740,-1,-1,104173,-1,171467,149517,-1,-1,-1,760554,27418,-1,-1,907308,-1,609448,-1,668313,707906,-1,-1,157775,515141,404185,-1,-1,-1,-1,268877,-1,-1,848376,-1,-1,-1,143577,381544,707162,-1,-1,631620,-1,-1,-1,336778,-1,528665,-1,863796,-1,-1,432676,27981,-1,-1,-1,-1,-1,-1,-1,-1,-1,938864,-1,882934,-1,-1,218456,892420,851496,-1,-1,497968,-1,-1,-1,663691,-1,-1,-1,-1,-1,-1,862281,-1,-1,484757,-1,-1,15396,-1,51223,-1,-1,116494,-1,-1,-1,-1,-1,365975,418803,646639,-1,-1,152068,-1,153005,-1,-1,839659,664968,-1,373814,-1,990334,-1,997313,-1,-1,-1,-1,608543,-1,-1,-1,-1,-1,232318,-1,456960,-1,-1,584668,-1,863476,-1,902928,-1,-1,-1,-1,600809,-1,-1,-1,36413,-1,-1,22622,-1,280978,-1,-1,-1,141723,-1,513819,477022,-1,-1,150776,-1,472267,495038,337796,-1,882524,656501,-1,840701,192530,293009,837579,-1,-1,-1,-1,710347,-1,-1,676291,310205,-1,-1,75646,-1,140877,-1,759225,-1,284062,769437,-1,-1,295005,-1,645192,322190,-1,583742,-1,-1,956733,262529,165941,36322,455988,-1,-1,-1,30445,90320,-1,613951,516404,-1,822352,107617,877144,-1,-1,486877,6320,490242,-1,51823,231074,-1,-1,-1,-1,-1,-1,-1,-1,626786,129320,-1,975514,834897,-1,-1,574677,-1,188769,732091,-1,684693,-1,555263,209549,-1,-1,397653,375636,866578,-1,88921,-1,-1,999132,81117,-1,262998,-1,-1,-1,736492,82114,-1,-1,363212,702279,130423,-1,-1,988954,-1,-1,-1,93305,-1,964543,-1,-1,55678,344091,-1,-1,-1,370251,109186,-1,-1,637012,-1,170732,-1,946097,761361,324825,-1,-1,186273,-1,85495,-1,-1,646653,49957,-1,-1,-1,-1,969308,-1,941661,687040,-1,-1,-1,-1,282354,-1,-1,-1,678736,849694,799283,886998,-1,-1,582574,-1,245099,302840,-1,-1,11875,421817,-1,-1,253710,933762,859485,190052,900268,789922,-1,865695,56113,-1,-1,-1,-1,998785,704548,507538,-1,771923,-1,-1,663978,-1,-1,345314,102348,749335,-1,-1,117220,-1,200831,421337,-1,828013,-1,979686,95486,-1,-1,567000,-1,743117,-1,582309,-1,679021,-1,-1,472211,-1,-1,-1,828137,-1,271040,-1,236396,181765,-1,897118,927209,-1,-1,636965,483526,-1,721086,329094,208086,-1,120273,-1,106211,-1,853616,-1,501509,-1,-1,14610,-1,-1,-1,-1,-1,349648,-1,668583,-1,198030,25982,-1,-1,339708,-1,498339,175595,-1,942874,-1,434671,155275,-1,654572,-1,700245,76822,963642,-1,-1,-1,191254,173521,-1,-1,-1,-1,-1,577050,-1,-1,-1,-1,812096,755922,-1,626718,237878,613942,-1,-1,725290,-1,958127,-1,-1,-1,-1,-1,474249,-1,63117,582161,-1,450591,588976,452578,887291,928687,895210,960167,-1,576554,-1,721605,-1,291927,255956,-1,-1,158733,827402,-1,74439,55454,114091,-1,847347,-1,-1,-1,-1,96253,-1,532238,-1,936760,930929,265350,33888,46809,349873,236748,-1,233480,467028,879426,-1,588689,772850,658581,269990,175472,-1,-1,838039,235615,-1,-1,885657,-1,-1,774877,-1,-1,862478,-1,-1,-1,452379,-1,830710,-1,440941,-1,276550,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,28955,-1,887779,176227,585443,-1,394056,-1,534913,-1,-1,-1,766059,-1,882885,791066,-1,-1,189495,428459,-1,46867,-1,933844,-1,324052,-1,-1,-1,-1,-1,-1,-1,181232,-1,622814,890421,860443,325033,434534,-1,237300,-1,-1,-1,-1,44564,-1,-1,261675,-1,-1,-1,-1,-1,964876,540905,793280,-1,-1,-1,-1,-1,92422,-1,-1,421757,-1,-1,-1,135550,-1,813082,881495,150422,-1,487133,373518,780753,-1,350087,555749,636673,827635,706589,-1,951595,89483,-1,229768,847958,-1,616454,404512,-1,704600,-1,-1,-1,728597,527487,868930,301609,307001,537969,931327,-1,436549,978633,675273,913259,-1,-1,505152,29059,266722,-1,-1,804948,152976,-1,678458,344002,-1,228893,-1,266189,-1,313428,-1,607037,-1,-1,-1,421049,820779,-1,327848,-1,405029,-1,65769,923945,-1,-1,-1,109267,-1,870598,-1,826754,-1,-1,667045,986702,-1,95976,124827,640506,136391,506578,-1,-1,-1,676120,-1,-1,692889,-1,-1,317815,745489,525197,204216,975999,201868,612442,876601,287306,260020,-1,80004,-1,558923,-1,287278,-1,-1,46662,598562,-1,664569,975163,-1,-1,883777,586250,188221,607605,299868,192657,-1,-1,-1,-1,-1,-1,-1,366778,332620,732114,957097,560661,-1,500655,31330,751973,778915,-1,870108,427973,-1,-1,-1,335308,-1,-1,47231,-1,-1,-1,247266,-1,651153,-1,505577,-1,-1,-1,40513,143766,957923,-1,688334,-1,-1,484067,-1,322114,-1,-1,367503,82563,641291,-1,-1,-1,-1,250638,698680,-1,-1,41392,544039,966518,393418,835552,-1,-1,414162,-1,187142,-1,560560,-1,892265,-1,-1,-1,-1,54879,704001,911883,527826,233431,587041,-1,136749,377921,-1,-1,-1,-1,-1,-1,-1,271330,17254,926496,854720,-1,-1,-1,-1,-1,-1,983084,-1,-1,-1,-1,876140,-1,-1,-1,-1,-1,271732,189750,655900,-1,-1,42035,108475,770932,-1,837666,-1,-1,363720,698562,-1,-1,-1,-1,-1,-1,-1,661787,565953,-1,-1,-1,-1,180766,597308,-1,53225,589287,-1,-1,688496,-1,357726,617074,-1,-1,175715,-1,665962,836114,-1,86413,731855,-1,-1,897765,-1,308581,263394,-1,357301,-1,147029,-1,776797,66491,198099,-1,-1,676503,-1,-1,231855,-1,975968,-1,773471,773171,396910,-1,46224,158356,-1,-1,-1,-1,-1,-1,423729,486407,179843,2970,404124,-1,500307,-1,-1,-1,-1,-1,702645,-1,78593,-1,926117,888265,-1,-1,145376,196921,412540,461507,-1,612068,708460,498797,770070,874197,-1,205537,-1,501857,-1,-1,504382,644954,202445,593851,132712,146342,402737,-1,325929,797304,-1,-1,-1,7415,891234,588166,645100,-1,210633,-1,504223,-1,311780,472936,268674,1694,-1,-1,703133,-1,186655,-1,468237,670930,-1,-1,-1,410389,556811,210615,801136,325247,-1,29734,-1,-1,-1,762300,917001,255878,544744,74804,540784,796728,-1,-1,425302,-1,-1,999382,-1,118590,-1,-1,-1,352986,180075,-1,-1,-1,976916,583627,-1,403563,-1,301604,-1,418045,314837,131962,778291,-1,-1,697465,-1,-1,52971,-1,-1,884068,676584,-1,-1,-1,528664,774401,28225,-1,-1,919055,-1,-1,130025,-1,510622,776284,485989,319093,-1,-1,589718,7786,-1,-1,-1,-1,-1,780949,-1,-1,941566,-1,-1,-1,83168,579976,892528,-1,-1,-1,-1,598589,105658,-1,27436,-1,358863,-1,-1,471520,-1,-1,996037,160024,-1,165309,-1,600039,-1,852518,879677,251797,951839,-1,669927,333422,276226,-1,-1,928169,-1,545399,384453,-1,-1,-1,449599,527616,860722,-1,-1,-1,-1,-1,-1,538608,-1,-1,728381,549763,-1,-1,545041,-1,-1,342300,540413,-1,86422,-1,-1,733187,792058,539543,687277,123951,-1,-1,745375,462948,-1,-1,-1,360043,946502,-1,-1,-1,-1,728622,-1,976841,-1,-1,481892,245987,-1,-1,26345,-1,834368,912235,-1,735987,394051,60157,516045,-1,737090,430244,342783,161732,819831,-1,450705,129031,-1,998733,86339,940548,229103,773756,42053,740085,-1,-1,-1,-1,-1,-1,-1,781618,673735,197306,-1,-1,594017,-1,794767,-1,-1,-1,269452,-1,-1,-1,865041,212310,-1,611060,-1,-1,-1,616683,675132,-1,896975,-1,-1,901627,718029,-1,414563,-1,-1,736326,-1,663995,340261,-1,295412,-1,-1,516090,728238,322700,-1,886043,-1,-1,255777,-1,-1,192334,-1,-1,890553,180371,-1,790106,968345,489288,-1,341556,-1,-1,-1,-1,82963,-1,800798,-1,94644,-1,663317,-1,-1,-1,324520,529689,416657,69239,-1,-1,-1,-1,-1,456521,-1,550499,-1,739099,213798,711219,-1,102123,-1,251291,724951,45563,154690,-1,729433,-1,-1,-1,-1,431479,-1,-1,-1,-1,-1,-1,32352,-1,-1,182072,-1,-1,890118,539514,-1,100635,-1,-1,-1,-1,-1,-1,-1,-1,643019,-1,-1,-1,-1,-1,936785,858244,984294,-1,910800,-1,-1,-1,289617,-1,327120,-1,949197,-1,-1,-1,-1,326286,-1,-1,-1,-1,-1,47978,197165,-1,-1,854973,-1,-1,728585,-1,2018,119312,-1,108443,236074,-1,612687,-1,348702,624593,628760,-1,-1,905958,-1,-1,-1,869338,489836,807182,-1,520220,455399,343046,536211,91533,762325,-1,-1,-1,860969,-1,-1,-1,-1,497139,293509,982773,868154,-1,61815,516674,-1,732999,-1,85844,-1,906416,490303,-1,-1,122950,-1,981456,-1,928538,747091,-1,887340,-1,374639,321131,41598,501112,-1,-1,-1,698952,267558,-1,-1,-1,-1,-1,-1,-1,-1,-1,81723,833180,128049,-1,-1,812632,-1,912619,-1,887943,-1,-1,252216,355743,503438,-1,65536,-1,-1,388301,-1,-1,590828,-1,718464,156861,155758,842486,-1,724303,917345,781724,108363,-1,-1,744870,429913,-1,739973,-1,794116,-1,-1,859883,566122,818359,-1,675630,-1,-1,-1,701311,-1,459511,-1,-1,129873,219837,64551,-1,463096,538308,262304,400138,696564,-1,-1,-1,-1,-1,64685,192211,993263,875517,-1,479399,-1,374218,658926,695351,703833,-1,777714,590302,-1,-1,-1,-1,825728,935523,-1,-1,-1,402193,-1,-1,-1,-1,853869,368552,127902,-1,34599,130716,-1,489118,937161,-1,748115,-1,-1,837975,758590,173437,176956,-1,-1,-1,978874,-1,203342,803025,-1,274483,-1,-1,2216,902891,-1,22773,-1,300544,-1,30081,486000,2131,438071,-1,862165,-1,-1,-1,-1,-1,-1,941324,906314,660077,760450,40715,498474,-1,653610,-1,-1,658083,883817,378427,848842,653114,432257,862242,-1,363199,298628,-1,781144,-1,983089,-1,-1,-1,182039,-1,-1,-1,563729,316988,418216,-1,-1,-1,-1,857672,572,-1,929916,628672,118055,-1,481814,453220,-1,516160,-1,-1,935573,-1,-1,923160,-1,-1,-1,-1,-1,314936,949207,-1,932825,272917,-1,921244,-1,-1,-1,-1,587263,76717,-1,544916,771332,-1,-1,800889,-1,-1,951421,743369,-1,-1,-1,304267,431164,-1,-1,937693,265414,-1,707657,470926,-1,-1,-1,696862,-1,308478,-1,-1,-1,53427,-1,-1,-1,606725,402907,779789,145635,-1,-1,-1,-1,996128,227654,85966,-1,928886,-1,-1,-1,-1,165180,730303,-1,115958,-1,-1,-1,275754,940863,-1,906777,-1,-1,237837,969957,426632,-1,352045,591229,956806,744987,193697,141095,-1,445299,434785,-1,-1,779576,-1,913654,-1,-1,348780,-1,625999,-1,320777,-1,-1,-1,126774,-1,821015,-1,664220,-1,-1,-1,789805,-1,205610,42581,-1,759571,-1,241754,-1,182364,-1,-1,535829,543182,-1,-1,76638,581534,-1,-1,227411,880952,-1,-1,873802,-1,82872,-1,-1,784534,182841,920329,922627,-1,-1,652806,234870,292709,450800,-1,-1,-1,683888,-1,535011,208030,362459,944360,-1,-1,-1,476098,550122,-1,20676,76019,916228,80007,-1,47948,679352,825780,-1,-1,-1,-1,743106,-1,434513,266014,423458,55402,207665,158840,512285,471801,115655,-1,102097,813276,-1,-1,-1,305288,-1,-1,18059,-1,116877,-1,708871,221946,557009,-1,84741,355939,-1,-1,-1,-1,-1,12941,271502,-1,-1,-1,-1,-1,-1,104762,987592,-1,905538,920769,-1,673142,-1,-1,621895,927766,-1,-1,-1,962343,925998,-1,-1,49314,183742,923493,325855,-1,235671,752291,870605,57228,-1,673805,-1,-1,845758,241345,720976,741324,-1,-1,881172,388332,129438,-1,-1,-1,946460,-1,206651,155212,408459,355142,652760,-1,258148,998418,493843,24761,-1,-1,-1,854969,599274,-1,965190,206012,-1,-1,963704,-1,494653,-1,-1,-1,86253,998802,-1,-1,-1,454443,832372,-1,951722,869949,201116,695081,-1,-1,557702,846103,192698,405248,-1,-1,-1,731278,546773,537621,-1,51546,877416,-1,-1,953955,-1,-1,330715,206801,120557,-1,-1,934595,-1,-1,-1,563458,434340,749974,218831,347949,-1,-1,-1,-1,811296,-1,210875,-1,-1,993193,-1,113555,-1,-1,904999,-1,-1,-1,761679,701842,209655,922970,-1,-1,257990,-1,-1,-1,206021,568018,-1,-1,-1,699354,98685,622179,962666,-1,946512,-1,-1,690462,955973,-1,-1,-1,-1,-1,28550,447026,-1,-1,413214,681119,-1,-1,957236,-1,-1,-1,-1,6472,-1,467621,275153,-1,-1,-1,-1,85835,270719,-1,133586,-1,-1,667349,556449,-1,-1,232542,415912,-1,752729,525627,967337,-1,-1,-1,138329,855594,830985,232759,-1,-1,929781,-1,50885,376542,-1,79259,255910,327221,-1,-1,377542,312609,-1,-1,-1,-1,511694,602670,399812,672742,13461,-1,-1,186052,820877,-1,128593,197262,-1,-1,802729,238546,-1,280691,-1,234120,635506,-1,191530,581363,851107,-1,788946,-1,-1,-1,-1,364376,300672,-1,-1,56876,-1,-1,731249,-1,-1,140179,168608,302498,618665,-1,878160,-1,249974,-1,442513,-1,-1,-1,841375,80487,317489,870303,-1,-1,576805,48031,99145,-1,-1,261923,640810,-1,11539,320115,459653,667636,-1,-1,-1,-1,275437,-1,585809,-1,-1,-1,398767,-1,396430,-1,345617,-1,419223,-1,831512,-1,-1,-1,-1,550042,164448,204294,-1,143387,-1,992729,-1,-1,-1,74934,866611,-1,709814,-1,-1,-1,414069,-1,-1,-1,833710,90706,-1,-1,-1,572233,868321,-1,-1,-1,-1,434673,-1,-1,-1,-1,208507,-1,247082,395362,624241,547841,-1,529109,471352,283971,780510,-1,449232,963888,-1,-1,-1,951675,592893,-1,-1,-1,-1,755113,787374,-1,822455,90259,590592,262364,83254,742295,951956,284316,790153,622,-1,-1,-1,-1,936442,-1,285339,840192,866103,440686,-1,-1,-1,673117,59602,358914,-1,663239,-1,-1,-1,663052,-1,-1,182718,322205,-1,468811,587750,-1,-1,343913,826800,-1,-1,-1,282058,-1,-1,-1,-1,507547,-1,797721,69109,-1,-1,391798,-1,-1,740368,-1,-1,-1,779733,-1,141173,176951,245609,-1,528133,-1,96948,321356,437985,-1,254616,478643,-1,-1,253959,606897,-1,-1,707951,718200,513370,-1,892634,594776,338661,-1,-1,525087,61914,954175,999568,-1,-1,979428,-1,-1,-1,137314,343231,-1,-1,888546,383011,44022,-1,-1,527691,-1,895823,-1,-1,670099,-1,-1,19351,-1,-1,425537,-1,500864,-1,53495,-1,-1,994062,282545,458907,966255,-1,-1,-1,278909,-1,136455,871963,-1,107916,48754,-1,718659,-1,201576,-1,-1,333535,-1,744321,-1,393081,211692,-1,-1,-1,748715,234177,299115,-1,-1,723577,-1,705824,99787,203492,563758,250010,-1,691807,905084,-1,-1,-1,-1,-1,806872,-1,165181,546872,667271,63632,544470,694794,743308,361807,-1,-1,-1,409739,950797,-1,-1,-1,-1,286961,782666,672262,-1,-1,562776,916031,-1,-1,704135,-1,-1,942122,825269,364072,-1,854168,831882,-1,44266,-1,-1,521756,-1,277069,-1,699810,-1,237551,-1,-1,-1,238613,282720,980881,-1,988278,-1,-1,-1,87970,290518,855732,-1,-1,374301,-1,-1,-1,942475,235411,-1,-1,776497,800037,626433,442929,605559,-1,-1,-1,-1,-1,-1,-1,775826,-1,961639,-1,-1,478923,748498,-1,868150,-1,96707,566784,761952,-1,-1,-1,-1,336988,38065,560555,-1,-1,-1,538427,418889,324576,-1,-1,-1,-1,-1,319499,379532,-1,-1,762048,474650,228364,-1,-1,-1,-1,-1,-1,840353,827024,873185,239790,636931,883435,-1,-1,-1,613366,42046,-1,380088,-1,-1,-1,531125,-1,-1,-1,697816,158629,-1,77556,701726,398606,-1,-1,-1,-1,-1,636924,-1,-1,21363,-1,869634,-1,607367,-1,-1,584866,-1,-1,363604,616949,885558,-1,-1,100456,470503,206590,-1,443055,-1,-1,757240,607986,-1,-1,100550,-1,-1,692076,-1,-1,-1,-1,354924,829841,563476,-1,-1,676711,-1,63968,406445,44793,-1,-1,-1,220441,934350,62327,382934,-1,-1,428291,455227,850414,127529,-1,-1,675410,777535,-1,-1,-1,338315,-1,348869,-1,914821,727482,-1,-1,-1,-1,94060,648355,-1,183905,-1,874573,835707,798114,264619,-1,711611,-1,770867,-1,-1,-1,796367,898129,780172,648981,-1,186124,-1,-1,-1,-1,-1,721521,962764,529373,-1,-1,-1,940442,-1,-1,344415,-1,-1,732894,-1,-1,-1,635034,-1,-1,-1,-1,10502,-1,-1,510821,498576,-1,-1,52579,-1,239091,581404,-1,-1,135708,783319,-1,-1,464914,-1,999379,429265,100789,-1,269321,-1,483904,357029,-1,-1,-1,-1,-1,411641,597037,-1,-1,-1,457085,354318,451515,-1,-1,761762,-1,325119,575062,-1,-1,-1,-1,799090,197886,-1,-1,-1,-1,648751,-1,-1,122344,338122,164941,548364,-1,-1,199661,94853,-1,-1,-1,-1,720031,371149,-1,325451,-1,897347,856156,470935,601926,966028,634968,-1,937368,959978,-1,-1,-1,-1,-1,-1,-1,-1,350437,-1,184038,618024,-1,656009,558099,680237,764614,-1,-1,-1,609961,438151,984075,927620,-1,426914,-1,-1,-1,72661,949026,-1,226568,794371,112256,750440,555081,-1,561756,342202,-1,-1,275094,556012,820539,939907,-1,705382,-1,-1,-1,849503,-1,-1,961425,655413,-1,-1,609514,-1,299336,-1,596302,-1,-1,943384,919587,853712,-1,-1,-1,-1,-1,300925,597370,-1,561369,174774,-1,767755,-1,231225,-1,-1,887823,732797,436169,775519,-1,-1,-1,-1,498876,-1,610923,145498,-1,376845,-1,452403,-1,400078,-1,723600,587393,263639,322187,-1,799302,-1,-1,-1,24461,850990,-1,403377,498131,-1,-1,-1,-1,-1,-1,408518,333456,353815,-1,328051,-1,109430,913382,-1,-1,-1,-1,-1,52889,732626,892870,-1,-1,-1,202261,-1,-1,581030,-1,-1,422540,-1,-1,775844,-1,918741,857163,563339,18251,-1,-1,963239,955992,-1,-1,524728,421175,106848,-1,538431,920198,-1,-1,957484,-1,-1,433131,-1,662618,-1,-1,362566,310853,-1,428340,555476,993584,989913,-1,375892,212102,-1,508592,-1,-1,-1,592249,-1,923114,-1,-1,-1,989329,-1,877386,837428,-1,196626,311345,324220,-1,779428,897623,-1,186681,-1,742123,-1,-1,303042,697494,85685,567066,314618,904296,-1,458433,-1,-1,-1,915394,768411,238693,968798,725040,-1,-1,-1,737142,653358,-1,672171,176842,547012,-1,953145,-1,-1,115223,-1,-1,84264,50563,-1,47784,-1,138319,674072,468522,-1,-1,-1,-1,799993,121677,705690,-1,123392,250134,80771,-1,808148,-1,-1,879536,210174,-1,-1,-1,-1,945079,227479,-1,-1,-1,-1,-1,-1,-1,224097,-1,664622,726171,858467,-1,-1,206934,458925,240983,-1,-1,-1,-1,476341,561212,142285,971101,614617,-1,-1,-1,-1,-1,567308,-1,-1,717541,-1,-1,637220,835719,-1,994063,-1,339704,-1,817585,-1,325663,231377,-1,-1,-1,840910,278722,976163,596576,187617,41674,-1,140635,-1,889745,-1,-1,556424,-1,-1,-1,-1,98159,123831,479573,235274,25913,746081,-1,-1,472036,891328,704784,898779,-1,-1,-1,-1,623319,-1,-1,879862,53466,284170,-1,627393,-1,-1,146248,-1,152129,389161,28609,-1,176327,-1,-1,-1,-1,314895,111328,-1,770712,568504,-1,470122,-1,-1,474394,-1,-1,-1,432378,-1,332133,580407,79440,-1,-1,-1,437906,-1,870881,-1,715830,629989,875593,-1,-1,-1,-1,563961,-1,-1,-1,459760,115817,787771,836777,-1,259108,641415,246274,-1,506723,-1,-1,-1,444578,836465,-1,-1,-1,537207,852992,98218,211067,-1,423581,228336,-1,985325,577011,791156,-1,695955,-1,84678,-1,-1,73314,-1,384711,-1,-1,-1,382582,-1,-1,-1,117094,859759,211000,919092,-1,-1,53593,-1,-1,399426,891753,48118,412054,-1,155482,-1,323738,-1,337605,-1,540492,726691,452869,965686,705079,-1,795830,256332,961151,-1,603425,151050,805460,-1,20168,-1,-1,-1,-1,817027,193918,-1,-1,-1,-1,-1,40020,654217,-1,424788,961044,-1,642654,-1,-1,-1,-1,624506,-1,654582,102343,-1,411235,143753,-1,-1,533608,-1,179419,-1,-1,548785,-1,608865,404770,-1,-1,910324,551510,-1,469193,-1,207098,698702,466975,497435,107099,-1,104953,-1,-1,-1,-1,-1,-1,80176,285423,309635,-1,423299,-1,-1,975909,-1,522254,355170,-1,409515,668537,-1,-1,408531,721736,505990,-1,-1,365939,-1,953263,-1,-1,976943,-1,869199,335135,187301,197175,-1,17391,-1,815980,-1,472272,36844,-1,-1,-1,-1,465256,792146,-1,474122,-1,910266,-1,48360,155402,834892,-1,163307,-1,936841,652232,408597,471005,-1,83739,422857,-1,466822,564847,143455,84798,704068,485269,-1,-1,-1,15821,-1,-1,30730,309951,790638,-1,-1,967469,40461,583147,-1,117261,-1,112678,508827,-1,-1,454511,951681,295290,630043,261211,-1,-1,415555,594979,693541,-1,925726,138652,-1,848553,-1,-1,-1,898760,-1,488799,-1,824012,-1,268232,-1,313171,812945,-1,-1,880005,-1,-1,283521,464392,-1,71105,-1,467987,-1,936334,-1,-1,383860,-1,-1,-1,-1,-1,-1,299725,-1,-1,722874,647109,483088,963352,508704,-1,-1,-1,-1,-1,-1,553913,-1,-1,996466,296507,593607,-1,888423,-1,-1,-1,282532,-1,-1,-1,-1,507078,3384,749502,-1,315710,-1,435129,-1,-1,-1,-1,-1,-1,740856,339800,648053,31686,-1,-1,-1,511285,-1,293046,800150,-1,347715,-1,244092,610159,-1,-1,-1,-1,-1,-1,-1,-1,-1,52748,-1,98177,354255,-1,242358,-1,979199,6125,761534,532626,468717,898878,750439,-1,-1,-1,-1,-1,-1,-1,-1,370139,-1,-1,-1,-1,-1,-1,570306,-1,-1,763620,847022,207505,71210,-1,595871,122455,-1,465214,-1,-1,-1,-1,-1,-1,453873,345605,837373,-1,324710,-1,-1,-1,919270,-1,-1,-1,-1,556860,214574,747673,-1,-1,645424,-1,591172,-1,928256,509483,-1,-1,-1,351818,-1,-1,-1,-1,961206,-1,-1,-1,118634,219048,-1,250557,-1,346625,488803,943961,353372,728621,-1,-1,837729,451436,166667,941678,-1,145801,935726,-1,-1,-1,-1,337027,815938,-1,779005,-1,665530,342967,-1,-1,-1,290516,732060,946093,-1,683398,-1,15856,540741,238002,-1,-1,714002,-1,-1,890824,-1,-1,152511,592684,-1,-1,-1,-1,-1,868532,510695,399468,445189,537634,-1,503879,707254,-1,-1,-1,807374,999728,-1,710791,421162,-1,442448,251140,874891,-1,72548,475839,-1,602339,929356,782816,765793,781055,-1,-1,-1,743899,686479,700583,703371,657036,488460,-1,-1,926993,-1,603227,225952,354975,-1,-1,-1,957937,-1,-1,-1,-1,-1,479623,-1,979107,-1,136592,234161,-1,198017,456634,-1,-1,-1,804130,846133,769467,381334,395400,-1,819421,714586,716291,788120,216698,-1,-1,576198,-1,920145,-1,433639,986209,302514,-1,424663,222917,430627,-1,-1,-1,-1,865772,-1,-1,-1,123478,-1,387673,712452,73160,-1,932259,-1,299435,394956,892285,-1,-1,304920,-1,-1,-1,247106,-1,-1,680162,47671,-1,50224,-1,-1,87807,-1,-1,550116,-1,-1,-1,-1,397528,321587,-1,32180,-1,241357,-1,908337,582422,260599,330979,-1,830630,-1,410038,-1,-1,-1,-1,844907,434837,822641,655051,-1,-1,-1,-1,-1,713603,259370,-1,-1,-1,835831,-1,971387,989079,430020,78690,-1,916813,-1,-1,183815,97256,942485,346383,139636,-1,215738,-1,-1,112669,725049,538324,565566,546398,-1,682035,583882,805529,-1,990888,577410,-1,-1,-1,-1,87203,-1,673977,-1,-1,-1,527746,-1,-1,-1,612660,831762,980904,-1,-1,-1,564513,-1,840880,-1,-1,-1,171897,-1,116995,778756,-1,-1,-1,-1,-1,566525,-1,-1,834456,1970,786817,409882,-1,-1,-1,256337,761540,-1,126669,-1,-1,-1,353488,-1,-1,106564,-1,191584,469580,-1,-1,826157,-1,400890,142349,-1,-1,-1,-1,-1,-1,457633,-1,275640,764343,126765,-1,44178,67967,-1,290107,-1,-1,-1,701603,-1,349519,-1,449360,-1,846647,-1,110947,306008,-1,701743,546764,-1,-1,23789,604374,762111,586164,-1,538919,229944,62198,-1,809301,358806,-1,-1,-1,748584,-1,-1,-1,849160,-1,339034,706672,934824,846971,-1,784753,-1,652856,104075,312215,889766,321875,57209,138863,-1,-1,-1,306856,439161,724220,-1,-1,682238,933078,33989,-1,-1,-1,652794,613219,-1,-1,-1,553459,-1,-1,-1,529970,876423,-1,802382,-1,90914,-1,-1,-1,-1,382683,-1,-1,-1,-1,-1,-1,430570,-1,-1,-1,886706,-1,222828,-1,146235,-1,63513,-1,-1,-1,731956,856562,-1,527116,395199,820946,580532,331002,180995,114475,256505,409034,522512,-1,-1,170359,-1,361244,956874,-1,-1,618184,404178,-1,-1,382830,660375,-1,826250,20696,-1,-1,691943,-1,59348,-1,-1,-1,-1,-1,-1,-1,-1,721895,735060,552708,-1,613544,-1,261635,519957,-1,240575,980387,760817,464301,244980,431604,-1,328660,-1,-1,-1,287894,-1,-1,285049,592145,560943,333779,-1,-1,743171,-1,263154,613409,345764,-1,832601,-1,633554,737241,-1,628211,-1,400952,796862,-1,983938,40974,75508,-1,-1,-1,855215,-1,-1,594688,616548,294110,-1,-1,132584,984092,-1,599004,390172,703085,-1,46330,-1,-1,700635,-1,-1,787489,-1,-1,540121,-1,558104,250715,-1,-1,879683,-1,390771,-1,-1,471824,603859,-1,511824,-1,-1,70660,-1,-1,-1,300691,652590,968598,-1,-1,187665,-1,-1,-1,-1,220680,95338,904985,456416,408458,357328,38720,139512,-1,615882,-1,-1,-1,-1,438827,713857,-1,-1,230143,-1,159803,-1,-1,810766,174965,332784,-1,-1,-1,618029,72453,-1,953432,3351,208561,-1,847797,-1,-1,-1,465743,-1,-1,100739,-1,-1,207909,-1,-1,-1,-1,13670,-1,-1,678905,123290,-1,-1,-1,546786,-1,-1,355160,314599,-1,-1,-1,-1,162843,-1,598920,644499,942512,-1,89364,780840,898743,-1,-1,884604,500094,585486,-1,557912,743224,-1,848362,375166,30980,587225,-1,916868,959160,-1,-1,-1,-1,29224,135628,-1,-1,934875,617471,-1,-1,245989,659235,917767,-1,-1,-1,-1,51887,382205,166350,-1,-1,-1,-1,-1,-1,-1,-1,180466,55506,868460,-1,664688,156383,-1,-1,922803,855524,-1,503472,-1,530938,586374,-1,-1,843676,-1,-1,-1,-1,-1,49140,265887,-1,585852,253715,674029,310793,-1,439647,-1,802864,735847,-1,-1,-1,610428,-1,-1,830774,-1,-1,135871,-1,-1,43614,947054,163741,428084,936778,469581,-1,487761,-1,560611,321714,815434,123969,956805,386114,629817,102415,772148,710114,-1,696966,-1,-1,-1,196942,19150,-1,-1,969669,-1,509277,822159,25154,-1,29990,-1,-1,294437,-1,-1,950933,65926,776857,296274,-1,-1,388184,49749,131910,73910,-1,702053,-1,743374,115332,452110,344501,-1,-1,-1,288861,295161,330515,-1,-1,-1,-1,963765,885717,-1,577839,-1,-1,-1,814807,-1,1252,-1,-1,-1,508232,-1,127371,285072,-1,-1,-1,819590,295084,551355,590151,-1,470990,210786,-1,-1,650363,72613,797144,-1,839234,194507,-1,15865,-1,-1,812520,975396,-1,318935,-1,-1,-1,-1,991070,-1,-1,674856,-1,-1,111118,-1,199808,-1,701255,-1,-1,-1,991591,141541,277150,659851,-1,794462,-1,729956,564718,-1,357508,-1,-1,-1,584274,202446,-1,-1,-1,-1,-1,-1,960537,-1,-1,995922,-1,454584,655353,389973,481987,-1,385112,-1,-1,-1,-1,750399,758373,-1,-1,-1,-1,970904,-1,-1,-1,536404,-1,741109,-1,-1,890258,-1,883151,-1,-1,601771,251741,916696,-1,74633,-1,-1,-1,-1,909458,-1,-1,106378,455482,973776,698480,-1,31605,977354,-1,-1,-1,-1,-1,7205,128952,326948,745407,-1,803787,657826,528332,-1,-1,640293,-1,-1,-1,282559,-1,183474,753989,379867,-1,-1,-1,-1,585140,-1,-1,-1,-1,78932,-1,-1,870084,661887,497088,-1,-1,-1,-1,-1,-1,401478,-1,-1,332982,-1,799373,-1,90219,937079,848129,-1,-1,-1,-1,-1,270957,996173,905608,-1,-1,-1,646995,-1,-1,970129,-1,64043,-1,-1,-1,-1,-1,-1,-1,840978,-1,60444,52824,284960,-1,-1,-1,-1,860905,664822,-1,853062,521774,89115,782276,-1,802829,-1,-1,600028,-1,371240,438345,737862,-1,-1,-1,-1,-1,-1,126742,-1,-1,369668,731471,-1,-1,-1,657356,-1,858603,-1,50365,-1,-1,469129,-1,918635,-1,-1,-1,-1,90993,245687,-1,938198,-1,26336,-1,-1,261696,-1,-1,-1,-1,20202,304139,-1,-1,-1,-1,168585,242187,946038,-1,443092,-1,-1,703469,626187,273258,-1,-1,909740,-1,901944,325397,108448,-1,-1,-1,-1,-1,-1,573254,227886,307768,-1,762310,322062,109647,-1,916945,507260,-1,878358,518384,131999,492017,270286,592388,-1,-1,664033,381597,420636,-1,-1,-1,797343,-1,107090,271803,-1,-1,996495,701800,194129,-1,96828,333463,436569,-1,-1,731407,647295,-1,491074,786310,-1,476881,309183,-1,-1,-1,106981,-1,130788,762369,-1,805780,-1,-1,-1,-1,-1,683844,166232,-1,-1,201866,-1,522760,959897,-1,767163,211472,686855,-1,472085,743087,-1,-1,-1,586650,478250,468896,695242,470326,-1,948289,-1,-1,20377,-1,17821,835550,44789,331269,-1,-1,-1,-1,29967,-1,-1,219244,862566,338982,246351,-1,-1,-1,5437,129165,743499,539942,-1,440598,-1,-1,-1,898355,-1,213592,67739,787899,-1,600669,956066,911533,291385,537798,325800,652991,411097,-1,-1,246167,951472,919804,-1,-1,604343,-1,609684,-1,-1,805416,-1,-1,-1,197983,943614,200476,539383,585316,293967,-1,492169,475736,634379,-1,-1,-1,455352,675250,-1,-1,386099,934594,142770,-1,-1,-1,-1,-1,-1,70968,81769,135906,-1,963724,-1,635090,400001,-1,357915,-1,452725,-1,102688,-1,-1,-1,-1,215091,774039,861050,945390,-1,-1,978123,-1,-1,-1,-1,476511,-1,811416,719375,322299,-1,45167,105987,860486,-1,628685,-1,-1,-1,-1,-1,835970,-1,810592,-1,-1,267709,-1,-1,-1,-1,920108,-1,-1,-1,738201,813590,220827,-1,-1,-1,-1,969311,-1,-1,-1,-1,507029,-1,-1,21474,865890,943626,-1,642867,-1,271854,-1,90581,338645,600734,199838,181051,-1,14131,-1,-1,-1,929371,418311,911369,70191,257220,969983,28853,416228,-1,-1,603578,629829,602264,-1,722213,-1,706619,-1,-1,-1,-1,967005,761565,146915,787143,-1,-1,56998,169417,383023,407842,325630,-1,442583,-1,928316,668986,488921,485915,-1,570243,-1,-1,-1,-1,-1,747059,-1,334912,-1,-1,-1,-1,161336,-1,701489,-1,288881,105071,635259,-1,-1,722883,537362,981611,-1,-1,-1,95386,-1,270546,-1,120126,543999,-1,-1,-1,74707,812168,-1,-1,-1,-1,243909,-1,-1,-1,519739,-1,15566,688887,-1,31518,-1,485763,809929,-1,-1,-1,323556,24924,101392,-1,876733,519453,-1,-1,-1,360198,194064,-1,111420,-1,32849,-1,-1,-1,-1,19314,-1,342507,898292,232131,985827,419873,-1,59846,40375,729472,-1,-1,-1,-1,-1,294390,-1,276070,453143,-1,857894,-1,421060,-1,311399,798686,-1,638236,-1,-1,565941,-1,113250,-1,392778,-1,-1,-1,-1,618591,22705,267117,-1,-1,111648,-1,-1,573191,22233,715181,-1,-1,-1,-1,-1,343504,-1,423743,594758,-1,-1,827625,-1,346739,-1,-1,581172,323027,-1,-1,-1,255966,-1,463507,-1,203074,697568,553479,-1,331230,745439,-1,-1,-1,-1,-1,-1,962883,-1,-1,806520,926584,-1,683102,810516,-1,-1,-1,141554,-1,846070,483009,-1,27408,-1,-1,257686,353522,834176,-1,-1,779074,-1,789718,167019,344227,923762,-1,439307,776312,-1,291104,-1,-1,2569,-1,680730,955612,-1,79500,925211,-1,-1,-1,55161,-1,-1,36323,964942,-1,378754,-1,-1,370111,-1,917620,972608,-1,-1,-1,215860,531055,-1,430161,680189,-1,855005,-1,-1,259536,-1,-1,160471,465133,-1,779921,359719,-1,528291,-1,-1,903947,317412,257658,780018,-1,552625,697524,698794,-1,-1,353288,-1,401469,-1,-1,871377,460717,-1,924340,-1,357156,821116,604792,-1,941298,544677,-1,-1,979088,-1,160577,-1,-1,718352,718482,191030,201587,-1,7715,814758,-1,729252,904953,-1,-1,-1,747254,750521,-1,-1,414570,887281,-1,-1,766271,165448,-1,-1,22166,-1,945605,897839,-1,-1,726916,552770,-1,-1,-1,950605,-1,812271,-1,-1,638522,-1,860303,298092,-1,172821,416950,819884,460489,-1,-1,28166,-1,548709,-1,645378,582578,559469,-1,919347,-1,-1,-1,-1,-1,-1,684475,482603,72768,212103,-1,-1,7694,-1,-1,307276,878877,-1,970336,-1,-1,-1,-1,86906,430885,-1,-1,737290,-1,450822,995762,-1,770026,-1,748729,-1,-1,570371,606704,965874,-1,49528,356238,-1,79311,-1,761496,-1,-1,-1,507202,-1,-1,465829,-1,893805,-1,-1,-1,-1,291900,782217,-1,485144,413776,-1,483448,-1,287699,-1,-1,-1,985404,-1,53447,836243,-1,575520,688826,-1,53339,-1,148476,923953,-1,-1,43970,-1,-1,120495,792233,-1,793804,-1,781918,-1,607258,-1,-1,292298,-1,834007,-1,334013,-1,723554,-1,314240,846577,891536,-1,401151,-1,103034,-1,804281,806033,218325,-1,-1,82016,-1,371449,290885,469458,956558,930113,469714,-1,-1,959037,-1,-1,-1,-1,-1,512159,936886,638041,401878,249727,137525,-1,-1,781344,-1,-1,-1,130035,293236,-1,938438,-1,662835,-1,796489,758867,-1,-1,-1,796760,-1,381509,-1,-1,571324,283113,121702,-1,-1,-1,307733,737490,119479,471976,756937,750654,-1,-1,604574,-1,-1,770751,-1,49969,102872,173799,-1,365345,-1,-1,-1,-1,568832,-1,-1,751370,-1,-1,-1,-1,-1,483631,29403,100703,-1,125951,-1,-1,-1,731949,-1,867486,-1,245057,316398,-1,-1,444857,-1,-1,-1,670067,-1,656666,-1,632077,-1,718355,-1,-1,172922,668104,614522,738007,-1,86956,-1,505951,-1,-1,-1,671694,497692,-1,-1,845232,-1,164854,883483,-1,-1,552646,965067,-1,201875,-1,416386,-1,-1,520128,-1,152238,260903,252108,-1,-1,-1,47248,253361,707884,383123,537079,223717,-1,695294,-1,368681,169109,563519,756530,-1,995287,-1,-1,-1,477103,214622,494803,588366,741744,-1,2007,-1,-1,943089,290903,-1,-1,-1,87489,378334,421467,-1,993746,477241,-1,15848,-1,-1,-1,-1,296185,924887,827667,149855,25958,695761,-1,-1,-1,311987,980168,-1,-1,794455,221483,-1,588801,721119,711845,316225,732272,722254,-1,-1,-1,949349,-1,-1,-1,429758,-1,-1,697171,209277,-1,753245,-1,-1,-1,904699,10713,479600,-1,562598,-1,-1,-1,369351,-1,943912,-1,-1,221233,-1,418895,26922,-1,-1,170068,677519,-1,-1,-1,629902,439341,616250,993716,941671,-1,-1,515739,-1,355398,374124,-1,464139,-1,-1,670617,526627,636256,-1,14158,524286,-1,-1,-1,-1,-1,540007,533311,-1,-1,557221,996365,-1,-1,517314,287710,308281,-1,173506,-1,299717,-1,230790,309916,738650,457183,513640,740926,302,319439,-1,93875,189968,-1,935375,623868,62539,-1,882368,771741,-1,-1,-1,-1,-1,-1,695266,-1,-1,751235,917215,619907,144060,862189,999929,-1,-1,-1,-1,-1,396915,644593,794400,-1,565361,-1,669428,-1,-1,-1,-1,493729,-1,-1,-1,-1,396702,91741,-1,-1,806608,729921,441959,843980,-1,960648,-1,-1,746515,452790,-1,436071,951159,675530,131067,512909,-1,-1,-1,-1,185228,241881,-1,369993,-1,530278,558263,351508,48763,-1,-1,-1,77749,516902,150362,704711,202626,-1,-1,717632,-1,-1,-1,930992,-1,-1,371281,843567,634659,83751,981719,-1,-1,243629,484959,662899,500469,-1,-1,-1,379025,853991,873094,-1,-1,445920,-1,215872,-1,-1,985522,-1,223848,11873,-1,-1,557108,248849,416133,-1,591631,-1,-1,541480,502896,607461,-1,783203,-1,666436,546135,-1,326970,-1,153962,-1,-1,-1,-1,-1,-1,495834,-1,983474,-1,-1,-1,941509,-1,402351,171253,303748,614232,-1,257498,-1,712253,464909,52858,-1,835153,-1,-1,-1,598595,446426,-1,914390,-1,-1,400419,148790,-1,384614,-1,-1,-1,410356,839841,-1,578844,639335,-1,322393,-1,919956,-1,414404,597929,-1,199705,210225,616410,-1,-1,92684,641465,-1,752216,11387,354627,376599,-1,-1,865318,674789,-1,925363,23648,870035,541108,-1,-1,707253,965324,-1,-1,195906,252778,-1,742108,440606,-1,261301,416139,357608,494837,-1,747331,209684,-1,940482,646197,99489,271338,-1,867088,-1,-1,217950,-1,497690,886343,523810,369445,-1,-1,285807,172788,146863,-1,492626,-1,-1,-1,-1,-1,-1,-1,396510,-1,871198,830294,-1,136109,878654,-1,392710,231804,-1,-1,-1,890449,-1,-1,115656,230092,-1,458852,-1,380636,-1,-1,-1,968752,523494,895384,312776,270430,-1,248689,-1,-1,828157,-1,-1,685294,403240,316980,-1,-1,-1,156152,871732,-1,-1,333677,-1,394751,-1,365866,619313,797341,940292,966611,-1,-1,709822,-1,-1,-1,269895,-1,640916,-1,163123,-1,-1,-1,-1,880535,130777,344175,648288,396506,-1,-1,822877,-1,272261,-1,-1,-1,154145,823410,-1,21318,-1,-1,-1,-1,-1,55038,-1,201456,-1,264611,-1,-1,457758,-1,384706,-1,274510,-1,-1,-1,734507,353680,685622,-1,882325,591822,-1,705073,-1,-1,369552,247298,-1,232985,-1,-1,-1,-1,-1,388300,892795,-1,252875,-1,569573,-1,-1,-1,-1,558465,51433,656834,395353,-1,-1,640695,990685,538505,-1,12830,568756,135118,162832,616631,-1,311242,-1,36288,-1,212687,-1,968806,572228,519616,277192,-1,687563,-1,223773,-1,-1,-1,-1,-1,261564,-1,176598,352314,536808,875550,933512,45594,76930,467926,602452,-1,165413,-1,328304,281753,-1,69503,-1,-1,54334,-1,-1,-1,-1,977896,-1,877357,865167,-1,239865,730511,933994,-1,386985,-1,329022,-1,-1,384250,-1,-1,360393,-1,-1,427966,-1,-1,-1,417041,608310,-1,-1,-1,-1,425061,-1,349424,930091,699819,264780,494766,-1,-1,-1,-1,-1,876610,817849,620026,-1,607544,-1,971072,-1,907276,979207,731631,580893,370619,-1,695129,-1,-1,-1,887783,-1,397562,739446,31159,321397,-1,998311,-1,-1,-1,80489,374088,-1,-1,224237,-1,233787,-1,-1,-1,494011,-1,811081,-1,97833,685239,206295,-1,561523,105937,663585,-1,-1,193689,98624,-1,-1,-1,479159,411447,611086,834032,-1,-1,140821,-1,833894,399658,655421,240408,-1,211943,-1,-1,-1,-1,305923,-1,-1,-1,352319,301759,385320,-1,123233,-1,-1,378362,212375,900633,-1,-1,-1,-1,158234,-1,-1,574718,-1,-1,-1,167358,106812,149192,-1,-1,-1,-1,-1,895752,150778,-1,97650,-1,923917,-1,555947,-1,233411,-1,-1,-1,558319,-1,155648,-1,600702,-1,-1,688094,711986,-1,-1,570277,55908,524546,190822,545655,-1,-1,-1,-1,47342,99068,-1,-1,-1,511274,-1,-1,-1,-1,671467,-1,47783,978260,-1,-1,30149,-1,355565,-1,882788,-1,159721,-1,-1,-1,-1,400680,-1,-1,-1,-1,-1,565853,-1,-1,-1,-1,683843,-1,-1,874305,-1,730705,1296,404515,-1,564045,632305,646677,-1,-1,774233,147734,-1,126850,-1,541883,-1,-1,218165,198779,370100,-1,-1,714865,-1,-1,380156,684680,831435,-1,791622,-1,104560,-1,613225,-1,239285,596817,-1,-1,-1,-1,724309,-1,-1,-1,459229,-1,-1,363809,-1,-1,-1,497645,269264,839448,-1,-1,-1,623168,569362,536459,-1,602764,-1,717987,587581,-1,229596,748082,429517,274004,-1,-1,912070,31463,362622,-1,-1,-1,565151,-1,254591,-1,264612,754206,-1,-1,-1,-1,-1,-1,-1,-1,412100,-1,-1,-1,-1,495412,354922,-1,-1,293027,-1,509328,711856,827413,-1,213411,643590,-1,-1,293844,642895,549228,966055,55999,-1,77093,-1,-1,842913,-1,298689,838629,-1,343589,-1,-1,653255,-1,-1,582345,428801,-1,-1,260655,-1,990600,-1,86871,802322,158201,73138,-1,418424,952928,-1,-1,420408,374684,-1,106842,838021,100513,97616,771705,745885,-1,850417,-1,-1,-1,880469,501663,-1,-1,-1,437280,-1,-1,10716,-1,-1,-1,-1,-1,887473,-1,78634,-1,48889,-1,-1,11109,329471,-1,681079,932831,-1,-1,752195,-1,447907,-1,241721,-1,218929,673347,307378,808557,537645,49105,-1,-1,930735,862618,-1,248953,-1,975851,560758,729485,93567,-1,672295,771296,509354,-1,798705,-1,856468,-1,-1,859860,317717,675841,-1,167899,-1,73583,410847,234994,363798,220941,-1,249490,-1,210137,-1,106832,689353,435345,-1,425349,-1,876938,-1,608683,-1,-1,-1,-1,-1,-1,861434,-1,454106,460194,-1,-1,-1,-1,169684,319958,279668,-1,-1,-1,815438,-1,679252,-1,-1,-1,973358,-1,-1,657088,505759,-1,242476,-1,127895,-1,-1,-1,341051,-1,-1,664335,164712,-1,416900,661528,866941,-1,510326,367944,-1,711705,-1,919577,-1,86500,2531,112442,-1,620390,-1,-1,-1,-1,-1,-1,954576,-1,-1,-1,553053,-1,-1,-1,-1,892706,864212,676408,130885,245452,112163,-1,609290,-1,467694,357934,354908,815963,-1,61055,-1,-1,65633,-1,342562,-1,-1,-1,594553,-1,-1,294142,-1,-1,239742,-1,-1,272194,700488,-1,-1,-1,-1,239348,626348,-1,370253,-1,-1,563345,177967,521361,621000,855742,558166,-1,591052,786732,313523,-1,-1,-1,-1,80726,-1,-1,760541,195192,90140,579209,-1,-1,-1,31455,-1,905819,509954,-1,-1,638181,498001,396934,-1,437376,682485,762486,-1,-1,-1,807941,421950,571832,-1,-1,545486,-1,801211,-1,757810,-1,813703,70008,534383,262899,887614,897653,-1,-1,228816,-1,-1,-1,194665,-1,166883,-1,-1,506001,40991,-1,-1,-1,52325,-1,852906,-1,663238,55691,104998,-1,624875,-1,-1,471300,580885,519458,41271,128309,-1,282622,930131,-1,-1,576101,808487,709037,361618,-1,-1,-1,941423,48274,-1,404914,-1,804559,273073,-1,-1,-1,278553,-1,951025,-1,47870,-1,-1,-1,-1,801563,649458,269757,-1,-1,-1,117198,81311,413074,-1,-1,-1,-1,539103,-1,882667,-1,-1,973366,543103,850740,759279,332580,137526,718361,-1,-1,-1,-1,-1,66114,-1,-1,-1,417317,714315,833956,-1,341993,-1,-1,-1,369145,-1,-1,-1,30892,586417,-1,257362,554033,967945,837959,760359,-1,-1,-1,82541,970633,950910,-1,234256,44803,-1,410100,-1,941311,81805,191920,270110,-1,-1,1351,861420,882096,847494,907592,935896,982298,274807,-1,244986,-1,725928,289357,27734,218584,593184,531226,132856,843540,-1,-1,986210,-1,323366,-1,158188,822285,-1,-1,90274,844905,-1,-1,513314,-1,49826,497587,-1,475881,769473,-1,813797,502921,-1,-1,-1,689997,-1,714626,-1,-1,260239,549233,987669,639393,-1,733774,252907,-1,-1,992110,-1,-1,-1,-1,-1,729764,396434,234555,-1,937615,895355,495215,-1,-1,-1,-1,-1,-1,-1,845220,-1,-1,662248,726987,-1,-1,-1,-1,-1,-1,591488,969663,316479,57433,-1,155720,180651,-1,681575,982902,-1,-1,890751,138063,714838,394905,-1,-1,682231,706744,500216,279699,-1,420818,477594,-1,-1,-1,601086,-1,51352,-1,893854,-1,526729,-1,144138,614971,-1,825348,-1,-1,602910,-1,853409,-1,241610,-1,-1,514897,-1,352287,-1,-1,414689,-1,-1,858340,434381,204240,558897,712735,230854,-1,-1,975858,708110,-1,607957,40036,35934,-1,658589,357916,-1,-1,-1,-1,385701,186267,-1,-1,-1,47893,37701,530400,619486,-1,59848,540286,-1,-1,-1,829766,-1,3198,183018,690274,201255,-1,-1,-1,526690,-1,858197,-1,-1,248145,-1,-1,880202,26146,-1,-1,-1,-1,183553,-1,374875,-1,-1,-1,209156,-1,-1,-1,-1,544269,125513,-1,282759,-1,-1,-1,654861,-1,283175,-1,27276,318488,236190,-1,-1,-1,-1,970354,75358,-1,195096,-1,-1,640871,-1,677338,-1,797016,-1,-1,-1,-1,-1,-1,527973,-1,195086,-1,960304,-1,-1,330756,92110,-1,-1,984707,810947,20352,-1,274586,-1,-1,110694,17536,582205,537009,-1,-1,971050,678565,-1,-1,-1,-1,80390,485432,-1,-1,-1,-1,-1,-1,-1,-1,647933,764526,-1,153722,-1,209084,-1,848727,-1,-1,-1,-1,393642,475784,-1,-1,173618,-1,-1,441376,-1,-1,-1,264322,280066,-1,676306,-1,908966,-1,-1,-1,933622,-1,-1,358394,552562,91852,389867,-1,307110,321534,912787,678925,-1,-1,281875,301323,-1,-1,221502,641325,-1,-1,-1,-1,-1,-1,-1,614935,7502,831156,-1,75647,417584,491397,-1,-1,564548,1116,-1,-1,-1,-1,-1,291965,-1,-1,750127,424439,-1,-1,-1,-1,-1,-1,612432,536471,-1,805999,101311,275503,-1,-1,909277,67418,-1,328220,-1,-1,88216,-1,708828,172700,156103,739546,-1,280118,-1,-1,800019,526207,691477,-1,862916,333186,-1,-1,-1,877697,277784,542423,-1,-1,93529,904435,-1,-1,56767,-1,73908,392643,-1,788905,-1,441405,199889,-1,-1,-1,-1,138231,-1,713410,-1,-1,783345,-1,139168,539057,-1,695490,-1,343866,619689,275157,-1,999745,720674,829817,-1,-1,528275,-1,-1,830615,-1,-1,-1,-1,603529,-1,798010,-1,-1,939613,-1,418510,-1,458057,-1,-1,-1,151390,964847,632050,853844,-1,685689,725636,-1,-1,484774,-1,-1,-1,-1,-1,-1,808890,925023,847618,982067,-1,-1,739729,-1,926378,790048,944840,262316,82752,-1,-1,550834,46450,-1,-1,-1,-1,762475,-1,-1,36626,-1,530351,764195,-1,648945,-1,-1,-1,111707,581427,-1,-1,-1,-1,173241,-1,752093,-1,-1,883195,-1,365259,-1,212944,-1,-1,170070,-1,-1,-1,-1,-1,283895,990084,234418,-1,-1,996505,-1,699277,-1,-1,523763,417829,-1,-1,-1,531605,164156,-1,692468,15338,-1,-1,293318,539706,-1,-1,428512,153857,231540,-1,764520,717820,692351,-1,-1,-1,18716,295359,211401,-1,914360,-1,-1,78894,-1,-1,469488,-1,103602,219240,767232,237448,-1,396541,280985,-1,323327,771453,307949,65476,-1,-1,270200,843205,799585,78076,-1,173097,-1,930594,-1,-1,-1,935359,-1,-1,774087,-1,457797,786177,722460,681662,681487,-1,-1,260647,-1,-1,525309,-1,73972,351591,546667,247051,-1,-1,-1,281376,-1,398805,999845,607472,-1,908892,-1,310207,618397,-1,754182,-1,-1,-1,-1,977449,51026,139785,-1,750768,739523,23854,682911,294156,-1,-1,183247,517402,934196,665426,853234,474983,938743,989165,-1,-1,167478,323867,-1,324985,-1,-1,832898,-1,-1,212872,-1,-1,41430,692430,902697,-1,129667,967920,163223,733078,-1,472856,-1,-1,474196,-1,367169,-1,-1,327692,266526,940657,948747,-1,11459,-1,251265,298704,-1,-1,-1,-1,-1,-1,53765,218876,-1,120892,113562,22641,613459,700017,143273,348499,-1,810681,-1,515622,176337,62219,-1,-1,-1,-1,-1,730720,-1,124997,-1,-1,406728,600943,283387,340512,92531,-1,821832,971610,-1,-1,-1,-1,-1,728786,-1,518649,637989,-1,-1,53282,-1,589597,-1,-1,41087,-1,790725,-1,535626,757649,669212,-1,-1,619573,600176,-1,25491,571159,-1,-1,-1,106206,484790,873153,181062,356846,-1,-1,-1,328631,501814,962080,-1,542397,237807,-1,-1,-1,-1,-1,529427,-1,56349,-1,349448,-1,437030,389907,-1,-1,217474,442710,-1,467520,-1,-1,862798,878466,880537,395800,970765,-1,301394,-1,87195,176233,922423,954404,538343,528729,528801,637453,363701,-1,-1,374568,-1,-1,-1,-1,-1,-1,-1,432786,32757,512878,114562,-1,595668,-1,-1,502156,497853,693938,-1,-1,561479,763567,-1,533686,-1,802274,53464,533519,83418,-1,-1,-1,-1,-1,-1,-1,68268,864669,856046,443366,977272,680687,924225,-1,-1,808260,465878,-1,535106,623059,-1,165654,136475,-1,744504,-1,-1,-1,-1,-1,-1,889216,694610,934723,-1,-1,901081,-1,-1,147204,284121,-1,862646,-1,96916,545971,473911,759958,-1,546659,-1,145751,-1,-1,-1,68177,168168,836700,-1,-1,-1,-1,968856,443138,-1,-1,-1,681209,351485,-1,610580,398905,894412,-1,59668,533264,172271,981320,263743,549285,699729,603776,-1,276833,160534,-1,352428,-1,-1,-1,20276,-1,-1,-1,-1,-1,-1,756983,139875,-1,405447,729403,-1,38374,-1,-1,768049,198582,-1,934449,509583,181177,-1,-1,-1,400532,629939,-1,-1,-1,736717,-1,310112,443439,-1,-1,-1,758201,-1,361988,893925,927657,49242,768523,647253,456628,866862,-1,-1,571755,-1,-1,398911,351333,-1,-1,-1,-1,-1,98241,-1,-1,582031,369544,306409,608472,-1,674967,51139,563507,30142,-1,983177,688956,50578,-1,-1,284243,-1,398536,-1,-1,-1,79940,-1,-1,-1,-1,-1,-1,530419,-1,-1,-1,-1,126065,819787,-1,-1,-1,-1,-1,-1,858226,-1,-1,156462,288229,-1,-1,-1,560461,-1,220746,37283,-1,657704,-1,-1,-1,956526,378145,-1,212272,58241,-1,-1,-1,53723,-1,845353,-1,-1,-1,-1,-1,785472,-1,175031,51966,519162,220477,-1,-1,924996,-1,-1,-1,-1,911198,184976,662408,834629,-1,-1,220446,-1,509151,-1,-1,-1,907278,-1,512758,-1,-1,296924,-1,-1,326671,-1,867046,-1,-1,876180,789090,-1,-1,913351,-1,-1,-1,605800,-1,906067,-1,-1,434787,-1,567704,-1,-1,744222,-1,-1,531991,48674,530523,-1,-1,483865,633723,-1,-1,669068,-1,-1,964719,-1,-1,-1,-1,660393,-1,-1,91730,-1,-1,-1,-1,774377,517936,-1,-1,-1,120437,-1,-1,-1,72027,-1,338825,143295,-1,846975,524419,821497,-1,908499,-1,-1,784336,-1,240759,-1,118734,-1,251601,595300,781471,-1,-1,-1,-1,-1,998863,-1,-1,-1,939838,767403,-1,566033,-1,-1,-1,75844,549619,-1,814771,-1,-1,832390,-1,35463,-1,-1,21542,459083,874500,-1,-1,516312,-1,574666,-1,-1,-1,-1,-1,76863,285553,233664,831222,77230,-1,409613,-1,-1,-1,-1,429817,750560,-1,-1,524253,-1,-1,-1,-1,-1,-1,-1,114775,498049,-1,370095,599062,-1,-1,-1,-1,177559,683032,431125,-1,-1,326057,793108,832957,554445,954426,439447,347646,840847,275784,782133,-1,-1,-1,-1,-1,-1,887918,-1,363613,959022,-1,-1,6754,117254,881902,497887,233667,208906,174924,-1,988958,783703,-1,297901,34465,817343,89104,-1,-1,831354,523482,235058,206764,-1,490057,-1,967190,-1,-1,655933,-1,-1,-1,402215,-1,-1,-1,306529,973232,-1,-1,-1,802596,-1,371380,-1,-1,-1,-1,-1,871608,150765,227925,446718,-1,-1,744466,155225,522094,-1,808949,92085,504139,451079,878103,294683,-1,411576,-1,-1,-1,-1,321133,-1,-1,560930,-1,754136,26331,582586,503759,-1,7681,333335,610191,-1,-1,-1,-1,-1,292338,295784,922473,856961,842531,349489,631259,874907,-1,-1,-1,-1,-1,-1,816496,720837,-1,733106,-1,367367,-1,365874,-1,-1,955933,-1,171004,-1,-1,-1,184461,582219,-1,-1,-1,-1,909182,394370,862104,604104,-1,-1,-1,-1,-1,-1,604027,338910,326164,-1,-1,56600,271848,941995,523651,888236,405479,-1,-1,-1,688251,872366,-1,960024,97520,-1,-1,395407,739784,-1,169248,-1,-1,939472,-1,838352,38219,345160,-1,820321,-1,239624,-1,-1,471506,-1,-1,-1,426853,944444,-1,-1,-1,-1,377167,600847,638414,-1,-1,-1,136286,-1,-1,-1,-1,-1,-1,521573,-1,-1,783521,333009,-1,-1,-1,-1,-1,110710,-1,-1,-1,-1,-1,546055,380961,-1,-1,346831,290659,633223,-1,-1,148508,-1,-1,194970,-1,30381,-1,-1,449657,-1,-1,380822,616732,313812,36244,862364,-1,-1,313722,-1,155071,300297,-1,-1,841822,455270,-1,861949,-1,504552,395922,125058,-1,-1,895587,-1,635371,189518,378960,412900,133101,-1,890667,662242,-1,-1,356788,614554,-1,-1,-1,151143,940244,-1,-1,-1,-1,-1,552436,-1,182992,-1,-1,503619,-1,-1,-1,-1,332254,611294,-1,213785,-1,-1,924909,-1,-1,663194,-1,-1,-1,-1,234550,284086,683699,902051,-1,935757,-1,-1,512812,64252,-1,-1,-1,268125,467782,98972,-1,-1,759954,261883,-1,601370,-1,818383,203789,967380,-1,544350,856955,525048,670287,-1,546962,-1,-1,242357,228397,-1,620611,-1,-1,-1,-1,142941,955214,309486,604775,581820,365233,-1,-1,-1,270926,-1,-1,205741,-1,-1,-1,799137,-1,-1,-1,806746,-1,938367,-1,249409,496995,626898,-1,-1,621822,-1,-1,-1,423862,928390,103057,239823,450669,681274,-1,-1,131096,-1,113201,-1,721657,-1,151719,-1,-1,977756,73642,256959,-1,926548,-1,-1,945359,402928,-1,-1,-1,95087,618532,-1,721003,222760,994264,-1,-1,-1,523131,-1,420887,-1,-1,958198,402731,295118,-1,162968,585875,-1,-1,328760,629506,-1,484373,-1,464824,-1,-1,-1,131611,-1,811800,-1,590393,-1,-1,-1,-1,-1,885536,726742,-1,-1,390458,897008,908751,-1,-1,48971,-1,999055,-1,720906,128877,-1,-1,424037,-1,-1,-1,724234,-1,620421,253220,73206,163257,203125,-1,-1,-1,777588,853175,777900,253908,-1,-1,779249,470315,-1,-1,-1,511780,678638,372376,921213,-1,262679,561303,-1,89144,461871,183703,88912,-1,-1,-1,241571,122018,424865,823612,-1,-1,-1,853236,622761,224703,592261,-1,414287,687363,-1,488671,738765,499900,312409,564022,331100,73081,292794,840119,-1,80231,-1,629308,-1,-1,-1,-1,350656,212482,489147,886407,267689,815652,432693,-1,895358,964269,313202,-1,41036,-1,949084,349266,862679,-1,984322,833318,540468,128703,-1,-1,-1,624989,-1,74629,16924,130454,-1,-1,679188,-1,399903,-1,-1,386695,850566,-1,-1,-1,-1,-1,-1,642283,-1,-1,-1,-1,-1,180023,436180,290563,174604,-1,-1,229521,37049,660981,402741,-1,-1,-1,-1,626983,998972,-1,-1,106710,-1,737715,876056,-1,-1,639247,879337,521300,57277,-1,-1,87963,-1,-1,951480,-1,-1,-1,-1,-1,-1,32014,676224,772678,115341,921517,585791,599547,958470,-1,-1,-1,-1,-1,-1,-1,213668,758948,-1,-1,-1,-1,-1,-1,182366,631178,911123,-1,646906,-1,-1,77602,305830,-1,-1,863874,-1,-1,-1,79697,-1,-1,-1,931370,212191,787867,458049,687685,-1,947826,-1,-1,-1,120888,580777,952828,-1,-1,301014,359247,-1,-1,832804,894712,994905,194081,-1,-1,540899,90817,758697,-1,-1,342143,-1,-1,-1,234018,-1,-1,-1,-1,-1,-1,-1,887164,778699,509640,137417,-1,-1,-1,196740,-1,-1,-1,987826,109637,652544,646988,-1,-1,-1,78901,-1,987575,131160,-1,-1,-1,-1,-1,606864,249784,509880,900820,274002,-1,345980,973126,286669,261958,783983,-1,-1,156433,-1,-1,-1,-1,-1,331191,913818,-1,-1,-1,-1,-1,-1,218653,783223,-1,-1,-1,-1,500141,-1,-1,616482,-1,-1,-1,889116,841309,-1,413071,-1,-1,-1,977930,618890,221382,-1,341078,-1,955907,749821,-1,-1,-1,-1,-1,-1,175198,-1,207249,-1,23002,685778,708230,466904,31295,839102,359813,530286,-1,990020,959960,-1,-1,-1,558189,28627,612346,-1,435391,-1,58662,324411,-1,765367,-1,-1,-1,-1,-1,-1,347168,-1,880413,-1,715894,455179,915521,738871,808888,427642,-1,349691,611700,-1,-1,933938,-1,219394,91952,601304,-1,-1,-1,-1,339601,-1,-1,704118,411757,-1,-1,878,-1,602144,-1,347758,169616,191806,689677,82197,-1,355218,249923,-1,102490,-1,-1,524297,912099,42566,561767,607678,89919,-1,-1,82067,-1,351840,38322,-1,495103,946250,-1,528304,-1,156875,-1,672332,662442,-1,-1,489199,-1,393442,-1,-1,906040,-1,-1,629562,-1,788835,-1,569487,-1,-1,-1,-1,261134,512579,-1,-1,-1,-1,531101,513058,855592,-1,707774,-1,993605,879809,-1,542764,-1,-1,591224,259979,312110,-1,-1,-1,584744,-1,-1,-1,885538,-1,-1,525237,865222,84748,321562,-1,-1,868262,-1,87143,475109,-1,-1,466361,316878,-1,118187,-1,175361,675302,-1,220280,-1,-1,566743,912685,-1,-1,-1,-1,484048,-1,-1,-1,978023,445204,242395,27400,856041,915954,-1,640800,515247,-1,851963,-1,-1,111663,-1,-1,-1,674588,-1,557405,951280,-1,841682,784200,-1,-1,68029,897452,-1,264529,954362,974469,258076,374252,-1,-1,-1,-1,-1,695906,582343,-1,678693,-1,-1,-1,281857,-1,-1,-1,958336,392330,247012,-1,253704,-1,522603,428179,347776,-1,-1,414284,-1,-1,-1,735661,436831,837787,-1,-1,388367,454391,-1,-1,-1,-1,-1,163254,543000,-1,725849,727177,865685,527864,-1,-1,437117,-1,934288,736297,-1,702251,-1,459839,-1,478953,-1,-1,-1,-1,-1,848296,601670,-1,673059,-1,-1,324466,-1,174661,-1,460106,522266,-1,61232,-1,62350,-1,-1,102034,-1,-1,819090,-1,-1,24583,-1,-1,-1,984311,200068,122864,-1,97791,483852,757071,-1,781532,-1,-1,-1,-1,229758,-1,-1,912337,-1,-1,500156,-1,722053,744902,530223,-1,889750,-1,-1,-1,-1,-1,-1,-1,817805,562443,954394,-1,-1,-1,454980,-1,-1,-1,576656,-1,-1,644462,192546,977447,-1,-1,255439,-1,-1,779699,906187,-1,499262,993270,406284,-1,-1,555441,-1,-1,436967,-1,139327,-1,633349,-1,-1,-1,486670,-1,-1,475397,710782,763224,-1,-1,938856,-1,-1,-1,-1,560935,-1,294311,786066,-1,98574,585970,890944,-1,296451,-1,-1,-1,-1,738320,-1,757201,212180,251135,976586,-1,41611,-1,-1,998474,50332,46249,-1,83149,-1,516579,-1,-1,676645,-1,-1,15533,210126,424616,377460,-1,-1,-1,976954,-1,-1,-1,19900,555157,-1,-1,-1,-1,346726,-1,434253,465702,-1,-1,-1,153358,444763,-1,499250,-1,335614,-1,714544,-1,-1,-1,294435,949211,-1,-1,-1,792837,706127,266250,-1,-1,720514,-1,-1,843570,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,147165,-1,255081,-1,968750,90269,-1,271077,-1,-1,-1,-1,412409,-1,545721,334225,-1,-1,-1,-1,-1,2465,-1,-1,800702,328840,115784,427248,-1,933474,575956,-1,15216,-1,303437,315565,-1,-1,-1,791714,-1,-1,30239,269814,-1,264697,194351,80477,990504,643368,747819,518275,-1,-1,-1,-1,60361,-1,799607,-1,307654,184086,-1,-1,18030,-1,745006,-1,602114,261915,948228,753844,-1,-1,-1,-1,-1,-1,300862,178827,803679,880022,-1,782779,-1,89087,-1,-1,474696,290994,-1,-1,-1,59861,58638,-1,-1,-1,311140,790747,-1,920593,-1,-1,-1,620327,-1,-1,865423,-1,-1,-1,133137,963451,-1,995578,-1,-1,-1,206217,392137,406401,119971,-1,-1,863243,-1,-1,192470,437103,988177,-1,937890,-1,-1,739529,-1,612507,-1,130389,189875,-1,800745,-1,-1,-1,-1,-1,-1,813352,309452,-1,-1,454193,102278,-1,803500,58831,529166,997979,100219,255038,690838,677836,-1,-1,-1,-1,736240,426266,41103,-1,-1,-1,-1,989248,305434,-1,780741,-1,981620,-1,19309,671975,-1,-1,177771,581247,-1,440922,-1,429912,782960,808737,320108,-1,-1,-1,263322,-1,-1,286539,-1,958415,750156,141076,746003,-1,-1,-1,975813,109179,908582,83639,96139,350625,275199,632130,75120,-1,-1,-1,-1,-1,-1,-1,-1,115905,-1,-1,933188,159116,-1,63938,474051,579874,108316,-1,-1,-1,-1,813289,-1,-1,-1,463368,702750,222618,769119,466473,-1,275671,-1,-1,566132,829363,-1,-1,-1,-1,821372,891976,170953,-1,339504,-1,-1,-1,-1,-1,132121,-1,-1,-1,687305,-1,221119,-1,-1,-1,147109,-1,234437,86165,-1,-1,-1,-1,-1,-1,81745,-1,-1,40803,165783,429549,206940,661427,-1,276267,-1,-1,237989,981735,-1,-1,-1,161584,-1,854756,691995,-1,37705,-1,841494,-1,-1,-1,-1,-1,-1,756975,585730,-1,-1,231140,-1,558644,545060,793298,-1,325267,-1,-1,-1,-1,-1,332327,-1,-1,-1,-1,802444,285765,-1,748506,864349,786321,926118,69785,519101,937173,343896,722885,314998,-1,410643,-1,-1,-1,803520,-1,303160,-1,-1,241846,862075,683794,-1,518572,-1,984472,-1,-1,430101,32826,34790,-1,856608,947612,743326,-1,840908,451800,867180,81961,-1,-1,183653,606384,-1,-1,-1,803144,-1,-1,908433,768208,-1,-1,-1,856928,-1,809750,594055,-1,929137,832120,-1,23958,-1,766992,-1,-1,-1,-1,-1,-1,287693,16917,-1,930616,-1,-1,-1,989699,-1,353384,-1,932850,868672,841540,-1,410836,856605,402228,371415,813592,290278,815796,953759,99614,454732,-1,-1,186872,281113,849389,-1,-1,96502,-1,918103,-1,-1,-1,-1,745086,506558,169540,-1,632689,176607,-1,800727,-1,249126,-1,748839,-1,-1,-1,505650,-1,-1,-1,-1,80947,142075,-1,-1,818367,380608,-1,-1,8696,-1,118091,-1,-1,391333,-1,716559,716568,-1,265949,320834,-1,-1,-1,-1,685277,-1,21132,-1,-1,-1,-1,814543,-1,-1,173890,-1,199858,-1,-1,511851,573958,93182,410164,118019,-1,478304,-1,-1,-1,395077,273484,609605,-1,-1,621641,566931,-1,-1,-1,170361,-1,-1,-1,736318,855915,734032,528527,-1,-1,705395,-1,188806,766468,258376,-1,975346,-1,261634,-1,33310,-1,317488,468862,-1,744323,133599,86272,745153,255120,-1,667033,-1,-1,-1,167380,-1,874158,167148,-1,193295,-1,262992,-1,-1,-1,-1,-1,-1,-1,250542,677190,520565,-1,342413,810159,213209,-1,806139,151179,-1,-1,298684,-1,92315,320663,174783,285831,-1,830959,-1,-1,-1,508839,770589,322707,476028,995151,907935,234872,-1,225148,232711,-1,-1,-1,-1,-1,-1,-1,-1,30898,305401,-1,635788,-1,-1,813968,72528,-1,-1,-1,159508,185028,541360,453593,896067,224407,851126,-1,419531,908798,630086,-1,856749,529844,-1,623857,34530,-1,81363,373612,-1,-1,-1,-1,96395,-1,688484,667187,-1,71724,-1,-1,-1,722749,-1,-1,-1,9736,-1,-1,-1,871544,833830,107846,-1,-1,110686,90792,400618,949685,-1,687830,321946,-1,-1,-1,399047,-1,-1,-1,-1,-1,275618,-1,496511,549702,-1,417270,59857,896339,753044,-1,640974,-1,449639,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,464695,854060,63327,206194,-1,-1,-1,-1,-1,385160,-1,13260,-1,-1,712909,735279,362851,256874,-1,427889,949597,-1,958701,919352,542496,-1,172325,70506,281880,-1,260563,-1,-1,-1,-1,126238,778266,136060,-1,508705,-1,589969,798032,-1,963333,-1,-1,-1,540325,996028,-1,142309,-1,-1,345336,-1,16859,-1,-1,222162,662860,-1,127552,319048,499971,-1,-1,-1,-1,220007,-1,-1,-1,-1,255247,-1,872130,470947,-1,10242,714007,-1,102338,-1,180786,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,887174,223336,435102,38001,88620,-1,55260,-1,-1,-1,-1,139080,522008,757838,162527,-1,386352,-1,571476,589006,-1,732322,-1,812866,491839,876039,-1,715956,215083,-1,223864,-1,-1,-1,286738,104948,-1,511064,319538,936764,-1,-1,-1,-1,181915,411210,40794,673948,-1,-1,-1,-1,-1,262622,-1,970616,-1,-1,277078,314570,-1,777557,-1,-1,445325,131883,652441,-1,326337,-1,232569,-1,628578,167529,203172,-1,952019,531690,-1,117971,627249,-1,684195,-1,914784,-1,454122,539134,-1,-1,-1,221881,863464,478094,-1,81930,477937,-1,952404,64949,-1,-1,625400,809804,-1,-1,-1,68335,-1,-1,-1,-1,380992,682852,-1,-1,158222,-1,192188,504835,-1,-1,-1,106329,-1,814048,103623,567155,-1,928230,137223,234896,-1,244103,-1,-1,-1,793687,-1,377777,-1,40784,650912,209999,-1,124965,251550,-1,660243,-1,-1,264842,-1,-1,707666,-1,-1,429008,-1,418818,-1,-1,-1,2119,-1,454699,-1,64425,554098,493529,-1,-1,497844,-1,914615,-1,-1,-1,890747,-1,834018,349642,-1,110047,956718,440065,-1,-1,321190,-1,-1,-1,281037,-1,-1,271197,66653,-1,-1,-1,-1,-1,983155,258772,247749,609108,-1,790560,-1,196464,573960,-1,-1,247972,-1,-1,-1,794880,-1,644127,-1,327096,340480,-1,-1,745049,-1,701345,181234,-1,412953,974307,540542,-1,-1,798957,-1,859640,452196,-1,805400,-1,-1,-1,-1,-1,-1,-1,703694,-1,-1,-1,144424,401687,410078,459683,697700,926919,-1,-1,171473,901535,-1,-1,87863,-1,-1,-1,-1,-1,726717,684036,-1,517658,-1,-1,-1,-1,-1,554206,924445,-1,83579,862741,-1,-1,930757,-1,37419,930546,948642,-1,544104,485766,91842,-1,969107,-1,-1,-1,798227,13742,75234,927544,-1,375427,300660,-1,-1,315642,807946,952306,658177,-1,121609,-1,-1,933514,-1,-1,671280,-1,-1,708422,998403,-1,-1,374513,710207,466901,-1,269831,646844,900645,404964,-1,672180,992697,182819,-1,306303,-1,-1,165097,878749,634165,-1,581117,-1,404168,-1,78985,-1,325635,8972,-1,207421,950293,-1,-1,576366,20969,-1,-1,-1,-1,684756,-1,672940,-1,955178,202771,-1,-1,-1,820741,-1,-1,-1,612759,-1,-1,307967,-1,941077,-1,320012,224532,-1,971394,-1,828588,657466,-1,876983,556011,363429,955555,-1,459884,-1,-1,-1,787902,-1,350409,510704,316727,-1,342387,-1,865327,773801,-1,590416,-1,-1,-1,-1,-1,-1,-1,-1,7571,778791,-1,-1,43789,795695,-1,55053,876803,121135,-1,-1,75406,-1,686300,906548,-1,391504,172222,-1,714339,878341,-1,333564,-1,420224,-1,915163,452636,139360,-1,78262,-1,-1,-1,73651,126233,803407,230017,878623,996906,-1,776734,347059,402270,-1,-1,-1,-1,729835,361188,-1,-1,270803,-1,388676,-1,847445,-1,-1,-1,-1,-1,-1,261039,-1,-1,-1,-1,-1,-1,-1,622248,282652,-1,-1,-1,641122,-1,-1,-1,-1,771908,-1,-1,-1,704593,-1,-1,-1,-1,-1,56933,-1,901968,-1,80132,-1,-1,-1,550406,-1,685141,-1,-1,269108,599545,35652,584849,-1,-1,-1,-1,-1,856135,865853,-1,837457,-1,-1,-1,600049,-1,-1,673099,598461,318804,415011,679033,944908,-1,155789,874677,-1,425591,367829,799001,-1,476783,358235,-1,815276,-1,482501,779618,186187,82672,-1,-1,541834,-1,342876,-1,486519,341058,-1,-1,287111,-1,-1,-1,792156,-1,967018,11637,492033,413827,40449,395634,14269,718916,-1,769054,-1,-1,-1,431026,377528,-1,385390,153849,-1,871585,116708,-1,650757,-1,671316,-1,440792,-1,-1,-1,719729,-1,945455,35488,97291,-1,-1,31016,-1,-1,-1,-1,-1,-1,-1,640282,-1,935257,-1,184728,-1,552357,326449,-1,628121,820220,791851,-1,390601,89723,-1,-1,17879,98067,-1,-1,-1,222698,-1,-1,675407,22790,393002,-1,323226,-1,589275,-1,490598,911223,-1,-1,-1,287020,-1,162664,135945,-1,-1,-1,-1,59472,459541,-1,-1,-1,-1,-1,-1,-1,942045,135820,284255,128759,141614,-1,143808,-1,-1,-1,-1,452921,850602,778412,366213,-1,-1,-1,176186,83154,789818,-1,235576,-1,-1,834724,-1,23233,-1,-1,306207,416481,-1,623616,-1,-1,126574,-1,232524,893314,633780,-1,-1,-1,-1,157391,874727,-1,901584,902125,42709,88227,585060,61816,-1,62857,-1,-1,-1,-1,-1,-1,296968,-1,-1,247472,-1,-1,206968,-1,745662,303182,417978,239569,609591,214877,977912,-1,470116,915528,-1,670162,-1,153336,194551,134792,-1,573959,841432,934505,219640,-1,-1,698872,-1,-1,-1,-1,790287,-1,50580,-1,958979,-1,173361,104678,-1,723560,-1,-1,605919,807987,513181,-1,796329,56506,637296,-1,529641,-1,-1,-1,-1,828924,-1,577791,-1,885501,275161,-1,-1,964762,187832,427779,-1,-1,533058,330570,-1,820234,-1,-1,402125,863230,-1,186597,550960,-1,864725,360604,-1,-1,-1,-1,-1,-1,226355,-1,385637,14261,907755,-1,-1,27384,-1,-1,-1,-1,141586,516994,898487,-1,-1,536357,-1,470088,955487,665060,-1,780995,-1,-1,151021,335136,-1,82920,584379,-1,400425,703780,-1,-1,633646,768747,-1,-1,-1,-1,-1,25363,-1,978258,-1,248016,229662,905034,-1,969175,-1,358,-1,496731,775516,-1,-1,-1,-1,636618,-1,-1,-1,205737,-1,849944,734074,-1,-1,-1,-1,62028,50339,-1,35438,-1,-1,-1,-1,-1,616383,-1,924976,-1,325068,57725,199574,304578,704872,-1,122215,-1,-1,-1,436417,-1,-1,486313,-1,430849,886196,604010,-1,889870,-1,480145,274440,520330,-1,558944,233912,159130,474558,837571,-1,799723,137835,163207,772335,65092,-1,644800,-1,409527,-1,62427,-1,-1,-1,593469,751967,-1,782970,764140,898249,-1,-1,798575,-1,-1,-1,-1,512048,709703,-1,28204,537352,-1,-1,-1,166313,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,899468,-1,663782,-1,-1,247706,38345,26739,504591,-1,-1,541030,-1,789162,658145,-1,-1,-1,819996,205785,19541,-1,983297,190341,461616,-1,205808,260938,247191,-1,-1,-1,719613,-1,950057,947225,-1,-1,-1,-1,-1,747185,-1,224824,715624,228654,-1,-1,576516,-1,-1,-1,124838,99794,-1,-1,-1,997044,765649,-1,-1,580252,-1,-1,23807,601230,182472,298862,-1,-1,829747,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,670423,-1,-1,-1,-1,-1,268264,-1,-1,-1,708029,-1,-1,-1,-1,21891,-1,197808,382743,-1,-1,-1,-1,724781,-1,856695,294260,-1,731685,990398,639153,931331,636113,-1,575296,-1,-1,-1,80038,398803,20359,750164,758594,-1,-1,-1,-1,460981,785790,405202,-1,-1,-1,-1,431969,987502,-1,-1,-1,-1,580574,769869,-1,111613,452661,8220,-1,-1,-1,660348,850379,608142,-1,943467,-1,635639,-1,97799,643679,230108,-1,197087,-1,868602,125525,929884,-1,-1,-1,141187,666686,278904,-1,549664,-1,332151,658253,-1,-1,-1,-1,170569,753465,-1,-1,-1,82427,-1,-1,579212,545100,495516,-1,-1,540518,-1,774961,-1,-1,424459,-1,-1,-1,-1,213894,270370,155495,129759,68530,889255,949543,-1,323865,-1,-1,-1,672479,398211,-1,753980,-1,558849,989768,-1,406027,762776,-1,817295,-1,548083,527988,-1,-1,-1,331118,-1,-1,440572,-1,524575,468569,-1,-1,166196,-1,372136,-1,797612,146305,211109,830569,281744,781059,969283,-1,-1,-1,-1,510696,-1,529617,-1,-1,143183,-1,749676,593529,640207,-1,-1,-1,568844,81444,-1,186466,612867,488095,933661,256794,-1,-1,-1,404151,-1,-1,697364,-1,969636,-1,-1,-1,429796,-1,429384,536771,297171,-1,-1,-1,512941,-1,-1,330332,-1,839247,544889,-1,-1,937738,-1,686531,655604,-1,905601,-1,242368,716985,456234,401995,-1,-1,90147,-1,-1,-1,-1,393393,-1,-1,914905,767250,83967,-1,688589,-1,-1,-1,837891,-1,-1,-1,-1,80097,593396,-1,-1,968148,166887,959874,343375,-1,-1,-1,818724,94723,-1,287098,-1,180906,-1,535402,663605,-1,944425,910077,845051,-1,-1,-1,957767,692289,-1,-1,-1,325143,773338,866483,-1,600770,-1,-1,-1,148950,468367,-1,95580,955553,-1,128234,642133,-1,-1,-1,397218,-1,-1,865896,-1,-1,-1,513172,14119,798368,323916,-1,500641,-1,818298,91771,-1,606099,637356,132899,-1,-1,992877,547680,297052,-1,-1,118692,-1,78156,818263,-1,10697,-1,-1,-1,-1,7095,-1,707373,-1,823775,-1,175847,-1,-1,20856,450782,836318,-1,199593,-1,947634,303025,634876,-1,584355,-1,177134,-1,947231,-1,-1,-1,379972,779158,591965,172354,-1,-1,386578,-1,-1,-1,314846,-1,-1,305688,-1,-1,455928,-1,-1,-1,793178,411170,-1,-1,-1,-1,222269,118902,-1,-1,734619,-1,145177,861164,-1,-1,-1,889962,-1,308730,-1,-1,374558,351983,-1,-1,709168,489059,-1,-1,-1,-1,935782,-1,-1,-1,29384,-1,758206,-1,-1,457801,915008,-1,202175,808605,-1,594889,-1,339011,457390,497882,-1,-1,-1,79283,-1,229204,-1,-1,106892,749692,-1,638503,910975,-1,-1,-1,408282,-1,280517,-1,-1,-1,550052,-1,-1,469410,-1,-1,-1,-1,869275,497300,-1,590523,-1,656262,-1,-1,118542,-1,479138,497636,384262,-1,-1,-1,52921,705802,298279,-1,153501,548870,-1,681507,-1,902437,-1,-1,-1,394713,-1,487419,832503,963092,-1,-1,-1,-1,926420,888678,-1,688281,742767,-1,-1,448501,-1,-1,316068,118323,998230,-1,-1,442478,592203,740151,7602,-1,122872,714358,984605,-1,-1,-1,-1,852522,60254,-1,412875,-1,-1,484812,-1,-1,-1,187070,-1,-1,576935,399758,245056,-1,438276,978937,392072,149145,332224,368224,-1,270381,-1,-1,-1,829782,520891,901072,860646,365562,394019,600137,-1,134329,-1,83928,-1,-1,-1,-1,-1,428711,-1,-1,-1,-1,671067,996654,-1,682933,215663,90453,215450,951849,-1,-1,-1,-1,531150,-1,80891,-1,33720,-1,433110,110268,-1,-1,832728,267557,-1,-1,-1,-1,-1,842562,460315,556908,-1,-1,-1,-1,476301,911317,-1,269866,-1,-1,-1,-1,531407,667543,997728,400824,654055,405795,796293,325441,-1,619258,-1,-1,-1,-1,274394,988057,519597,180187,-1,-1,-1,-1,-1,894878,-1,-1,-1,928410,191151,935062,594154,-1,-1,441460,267811,944300,353541,687927,-1,938041,-1,-1,-1,-1,-1,736469,50002,250110,-1,836617,-1,-1,-1,-1,-1,-1,-1,-1,-1,922209,932905,996807,-1,438506,-1,-1,-1,-1,285910,-1,-1,387534,894718,481035,7695,404278,-1,-1,393870,-1,-1,443163,-1,-1,712584,658456,-1,919895,-1,-1,-1,-1,239212,-1,486976,19507,-1,710413,136161,420091,-1,936708,-1,-1,67080,519251,536182,-1,-1,810576,991083,-1,712348,753143,770776,-1,369746,543600,542746,-1,-1,182934,-1,683076,-1,-1,-1,624476,857218,-1,-1,90593,553678,748392,-1,340517,388570,-1,-1,-1,-1,330161,387247,-1,871614,-1,-1,935425,-1,-1,-1,-1,-1,743008,397145,462944,-1,-1,109046,-1,594020,-1,-1,752147,-1,30451,-1,993715,69996,189123,-1,132915,233164,-1,-1,-1,147339,338945,-1,363674,-1,368393,198438,925935,508857,-1,-1,-1,-1,112695,-1,285037,-1,-1,574995,-1,-1,720216,864064,681369,-1,596155,657917,432403,914000,-1,444773,-1,457800,-1,970618,-1,314161,-1,653475,386837,910668,-1,312701,439720,-1,-1,480331,990885,336448,-1,445389,-1,427429,968932,-1,-1,-1,-1,-1,793381,60533,-1,536636,-1,-1,-1,-1,979603,-1,886915,-1,818810,-1,-1,749617,-1,-1,-1,65154,-1,-1,43583,-1,-1,-1,-1,274696,546618,124664,989496,464458,-1,-1,262291,3490,-1,123551,562399,-1,683067,-1,-1,-1,722060,998530,20859,-1,-1,818488,-1,-1,890365,-1,-1,221888,145093,961708,-1,125099,687093,778514,-1,765645,-1,813860,424398,991562,-1,170333,901861,673502,-1,-1,-1,507453,232208,-1,153485,-1,811916,944598,-1,-1,481861,386116,35312,-1,-1,12089,524477,-1,166385,-1,-1,31533,-1,-1,514188,-1,365954,309440,998518,385923,-1,335555,-1,974388,321903,460108,95730,797065,-1,729218,-1,-1,100713,-1,-1,-1,-1,396605,706745,67318,738171,100,-1,310182,-1,781478,32280,787880,-1,-1,-1,-1,314568,-1,-1,445977,-1,-1,782171,491916,120928,183111,120501,852429,541314,-1,-1,-1,-1,-1,221331,-1,181486,651089,68009,316319,986106,-1,-1,-1,-1,806345,390785,-1,424347,295644,234664,-1,-1,-1,680921,-1,-1,-1,603670,-1,-1,-1,-1,460163,936580,239058,-1,681475,343379,658284,624779,451409,815695,-1,284693,-1,-1,478356,285907,716449,-1,-1,-1,950935,619380,-1,175958,-1,587877,345696,798282,-1,-1,231103,756635,135174,119036,-1,-1,288387,-1,905120,495687,-1,599023,-1,-1,303827,-1,978352,140805,-1,579829,543442,572371,27263,128547,-1,628483,-1,-1,-1,-1,-1,703108,-1,-1,-1,996670,-1,-1,-1,-1,-1,457560,-1,629513,-1,-1,-1,429134,-1,704768,-1,-1,-1,184049,493874,-1,640915,635725,-1,85388,366193,669795,-1,-1,-1,998385,337706,534716,716389,395683,188374,-1,-1,-1,-1,188223,374465,792657,-1,-1,247975,-1,-1,529449,-1,-1,-1,-1,299535,-1,794332,129038,876661,975218,-1,561746,874610,-1,-1,-1,543252,-1,948048,428315,-1,-1,880485,943679,-1,973498,-1,-1,51545,-1,978014,506248,183515,-1,457811,-1,-1,-1,160955,-1,-1,-1,905870,-1,-1,-1,227170,-1,-1,-1,-1,-1,843719,463329,320808,-1,278144,785444,865525,339747,844247,126936,384103,984941,723229,-1,54493,49986,-1,999367,-1,-1,-1,-1,589801,327891,203640,232228,-1,-1,-1,553120,-1,-1,-1,-1,343059,-1,-1,-1,-1,684565,284456,-1,139990,-1,78824,338864,147494,-1,769545,-1,900090,-1,-1,-1,714914,-1,-1,382133,390912,-1,44599,843532,445601,119116,547811,-1,-1,322782,481730,-1,-1,773223,-1,-1,416117,647615,747842,-1,-1,826027,734052,-1,852904,596702,-1,-1,-1,270549,-1,400606,693236,478150,559559,-1,-1,-1,488353,-1,865516,-1,118365,444146,-1,-1,323481,-1,443148,-1,-1,-1,-1,467823,295302,-1,382797,23939,-1,-1,161782,194554,-1,684561,445400,412321,-1,563798,818405,863774,893188,401138,377907,-1,-1,636935,60462,-1,-1,513316,-1,107902,485338,-1,10623,-1,547576,41158,-1,84177,-1,538161,948469,-1,-1,145530,-1,330724,408193,-1,994378,85352,53741,814158,-1,59105,-1,-1,786542,-1,77459,457227,615637,499892,834444,434563,502680,-1,629813,696626,998214,149311,974578,-1,341181,-1,-1,939677,-1,763581,373558,640363,-1,479643,326053,-1,195073,-1,-1,926774,-1,-1,-1,-1,907854,-1,-1,324575,-1,-1,-1,421608,-1,-1,191784,333312,-1,-1,-1,-1,-1,23757,-1,659097,-1,-1,-1,464493,367056,402942,-1,-1,399510,-1,177703,-1,-1,848061,543073,-1,232954,-1,-1,-1,-1,-1,740036,925952,-1,639544,-1,-1,34059,834727,-1,737110,-1,950370,336604,-1,-1,-1,748624,737516,237363,361625,687400,615888,-1,575384,-1,-1,119268,-1,544542,154096,-1,-1,502836,618590,795242,835472,523505,-1,-1,349906,-1,957312,-1,-1,-1,-1,715158,418358,375207,754387,-1,-1,-1,-1,317382,-1,569994,382982,527773,603927,657485,-1,-1,-1,-1,-1,977081,591183,47366,-1,898485,212101,321914,550662,618840,504200,-1,700977,704494,-1,138911,-1,502087,635307,-1,-1,276613,704609,-1,650558,-1,673181,-1,275729,121085,595980,-1,-1,-1,-1,-1,286162,-1,-1,-1,-1,180311,624737,-1,-1,-1,764761,164160,-1,-1,-1,631191,131719,-1,190835,254298,945654,268326,-1,-1,-1,389743,179564,-1,894985,910675,-1,-1,390693,445032,2817,-1,-1,-1,-1,235334,607314,625054,-1,233233,-1,-1,-1,-1,-1,680862,-1,-1,240720,540722,629109,-1,162458,756503,-1,991787,120920,-1,-1,928821,653556,894317,-1,101846,972795,-1,396633,698867,871431,86223,412493,600501,-1,464831,865369,-1,-1,-1,250164,900369,-1,689876,-1,853631,984033,554936,-1,757633,669295,-1,-1,-1,482771,272655,-1,261251,364108,-1,238827,-1,-1,-1,24329,-1,-1,-1,-1,-1,790251,31857,-1,834100,-1,-1,-1,242700,708148,817673,-1,-1,-1,889129,-1,671276,919060,841440,-1,433704,-1,-1,321690,62816,930834,916261,-1,934105,883726,871642,976445,589780,192159,-1,861378,604540,636353,-1,-1,-1,-1,-1,-1,484551,-1,-1,391111,592874,768818,-1,698152,132665,-1,684002,751089,-1,844344,749608,-1,-1,949380,838196,-1,-1,-1,-1,231923,-1,-1,656405,-1,-1,720306,-1,600636,-1,948074,560701,494550,-1,-1,504354,496363,-1,-1,-1,-1,-1,-1,-1,54210,99952,673847,-1,543350,-1,-1,881960,-1,19167,-1,-1,90059,653078,-1,660264,198068,922202,-1,-1,-1,590997,-1,292812,275689,134431,-1,725757,-1,8233,-1,626745,-1,-1,-1,-1,-1,-1,461484,314797,335828,-1,451316,-1,612800,233303,371694,-1,787845,-1,-1,-1,-1,-1,723028,-1,325957,-1,-1,358293,564515,-1,586258,-1,-1,179971,-1,213608,12271,-1,-1,501108,-1,-1,513227,-1,-1,-1,680475,-1,-1,837938,-1,-1,-1,980763,231709,-1,-1,-1,-1,-1,-1,-1,-1,-1,497730,926596,-1,-1,881345,573280,420207,-1,928122,-1,-1,752682,-1,371808,-1,199123,-1,493223,268344,-1,167810,817242,155905,-1,-1,891315,-1,740452,554968,594875,-1,34886,346181,-1,258692,570695,-1,737483,735985,-1,378590,-1,26186,-1,-1,-1,-1,107170,-1,631623,-1,718865,-1,-1,336669,-1,152937,-1,-1,988514,452838,-1,273405,195441,694339,-1,55765,-1,519213,-1,-1,892452,-1,-1,369785,-1,551280,544975,-1,-1,91725,-1,441780,176457,417913,617918,-1,-1,-1,388574,673831,136854,840127,921171,-1,503043,-1,860696,821224,273386,-1,-1,-1,-1,-1,-1,25595,760523,-1,205940,-1,-1,-1,482776,399888,176530,31768,26064,-1,230978,853475,891154,-1,171149,469631,133911,230311,-1,-1,-1,90267,189752,66677,720213,987572,-1,646175,-1,318032,-1,-1,626794,448497,899139,13152,-1,516015,-1,407605,474398,80982,-1,-1,-1,825971,502777,-1,-1,-1,440556,403687,-1,-1,631320,779939,912458,715134,-1,-1,115188,313741,-1,-1,24352,-1,852061,-1,-1,-1,-1,-1,699332,-1,-1,-1,210482,562158,-1,686129,678790,-1,335752,-1,892143,-1,755150,351271,257491,-1,-1,885134,25436,-1,-1,563318,385286,-1,-1,-1,278870,-1,-1,268621,5654,-1,-1,-1,760940,-1,716547,40853,-1,-1,-1,-1,615592,-1,548919,733508,-1,861877,226541,-1,-1,-1,-1,-1,32952,-1,-1,526696,-1,316627,-1,86387,-1,493413,579424,88211,-1,-1,171220,-1,-1,-1,-1,511495,286481,-1,333830,-1,286598,993403,369804,-1,274457,447340,-1,124872,-1,-1,187704,336120,860936,-1,-1,-1,510860,468456,546675,-1,-1,-1,-1,-1,-1,-1,569725,532661,-1,-1,-1,205249,655194,71915,-1,-1,27116,147689,-1,-1,762895,-1,33516,-1,-1,317539,-1,540404,867844,-1,-1,-1,-1,589646,552961,-1,-1,967823,-1,2842,837640,819970,-1,405821,-1,944144,869320,763045,614690,-1,-1,738137,-1,-1,-1,-1,-1,3086,55539,-1,-1,258074,859058,-1,-1,-1,-1,345610,-1,705529,-1,-1,113974,-1,824789,-1,996030,849464,-1,219630,-1,-1,-1,207112,283437,-1,78307,349857,-1,66760,793465,-1,-1,-1,-1,-1,953154,-1,59773,-1,166527,-1,57259,949697,926918,316302,-1,-1,175722,-1,249977,675949,-1,-1,-1,-1,398048,510518,100145,-1,38914,-1,-1,192749,440963,457375,558569,-1,389268,-1,406249,-1,-1,-1,-1,276909,-1,-1,-1,-1,-1,578887,32329,673250,181856,25492,-1,-1,-1,-1,310211,394918,570417,-1,-1,382059,-1,-1,72690,528589,527360,417042,-1,342059,-1,-1,-1,-1,837341,720871,-1,-1,988879,-1,157539,618056,863032,586281,421558,709599,-1,887137,514459,958247,147229,-1,-1,541324,-1,808457,687628,15355,-1,616782,-1,577611,-1,796068,480992,-1,266333,-1,971713,191965,-1,-1,-1,-1,-1,426055,263589,-1,-1,-1,226923,451747,991827,-1,-1,281279,-1,-1,-1,817759,266713,-1,-1,-1,-1,-1,-1,619460,475679,933410,-1,455627,-1,693636,-1,469478,673202,-1,-1,698159,-1,-1,244633,-1,235117,-1,52918,-1,-1,-1,639363,27315,180675,537493,298521,-1,-1,-1,-1,-1,-1,-1,835093,697573,108779,-1,-1,-1,-1,-1,142848,934095,-1,303382,636912,235298,120784,-1,532138,-1,236469,467740,546684,-1,-1,623743,578908,-1,803415,-1,244761,-1,-1,-1,-1,189486,-1,-1,408946,513799,453103,783770,218423,131890,-1,-1,-1,236092,558191,-1,-1,-1,353512,239764,519699,627192,-1,-1,-1,426115,-1,663863,218201,197258,195780,173869,-1,356208,593159,46019,-1,519232,961549,456635,-1,-1,-1,-1,-1,978193,-1,14856,-1,965677,767557,-1,201898,838780,-1,282012,-1,849463,-1,-1,-1,-1,-1,-1,972838,831701,-1,-1,-1,-1,-1,-1,2349,504431,50593,-1,213515,649257,513644,-1,654138,-1,-1,-1,-1,44962,800483,556196,75307,-1,1226,429624,-1,-1,126022,354545,-1,-1,467323,-1,-1,460122,-1,272408,102124,-1,96380,-1,-1,-1,714506,-1,-1,-1,-1,138074,482662,-1,-1,-1,49159,-1,-1,-1,-1,186160,-1,-1,701873,-1,-1,755747,2458,-1,170266,-1,1864,-1,820592,14339,-1,-1,-1,-1,310254,821093,765808,682465,19930,-1,-1,-1,-1,-1,-1,-1,-1,-1,589455,-1,471023,-1,259682,852319,933109,755336,-1,678423,118391,-1,-1,-1,840861,-1,-1,-1,620022,472048,531790,659857,873018,203287,319128,940459,313243,-1,-1,-1,-1,692722,-1,-1,50134,-1,-1,384210,-1,-1,-1,553585,893650,561475,-1,-1,-1,-1,-1,-1,78147,-1,-1,-1,681876,-1,-1,777361,-1,-1,22954,583708,637624,-1,10568,-1,695218,336924,436445,-1,-1,435079,636857,225551,262416,-1,554512,-1,722598,-1,-1,-1,398940,283763,-1,-1,665816,-1,694273,10989,299790,217503,91364,396575,723161,410349,-1,-1,-1,-1,-1,-1,-1,-1,-1,163473,-1,-1,-1,114331,-1,-1,-1,-1,661657,547052,728627,-1,437632,-1,466829,-1,-1,-1,-1,355874,-1,-1,230552,374062,-1,890245,-1,778733,231977,-1,-1,542571,-1,-1,796092,-1,-1,513280,23004,-1,-1,73599,-1,-1,-1,173977,304997,77769,864807,-1,-1,804829,350912,-1,945682,-1,852252,555468,-1,971767,282221,-1,-1,-1,-1,555136,218936,-1,-1,-1,12659,-1,70106,454291,-1,-1,492622,692788,-1,280160,462789,-1,-1,-1,-1,-1,-1,368476,328486,-1,-1,-1,335795,640617,-1,548225,821793,866333,-1,580705,-1,-1,-1,877191,245151,-1,-1,-1,-1,-1,-1,-1,14230,-1,-1,535149,-1,-1,95759,-1,430468,15195,-1,574152,468116,333389,-1,876802,-1,570485,445275,176493,566013,-1,-1,817922,891993,-1,-1,672222,57105,-1,341748,-1,286411,-1,-1,-1,991210,845783,788828,-1,-1,-1,-1,-1,994916,-1,-1,-1,-1,-1,4617,-1,821285,-1,157478,112799,251026,-1,-1,632992,824547,173775,-1,350773,257307,231241,247814,95629,113174,-1,-1,456913,-1,-1,-1,-1,79835,-1,161814,803339,-1,129919,246638,979628,241395,994025,-1,977508,-1,172813,246769,431083,-1,-1,924998,-1,-1,302877,-1,432225,-1,-1,177184,-1,-1,-1,802334,-1,-1,645726,-1,742563,598913,348390,704160,-1,-1,69711,822102,596458,616366,-1,-1,657544,-1,821658,288154,-1,-1,25524,392823,673070,-1,-1,700962,-1,756349,-1,185844,-1,-1,14380,648787,280642,985679,577228,-1,569216,808644,-1,358216,-1,573715,982479,-1,444315,-1,438187,-1,-1,104938,336731,623680,346543,-1,94289,-1,-1,345052,-1,-1,576403,-1,-1,924719,-1,921227,848113,-1,-1,22753,588732,-1,386688,-1,-1,-1,-1,942306,97317,-1,302060,-1,966736,-1,743811,-1,-1,709496,642012,189824,-1,605515,-1,958959,491157,690675,-1,967199,984885,381654,-1,-1,-1,345695,560997,65736,175975,-1,822083,126493,658579,973208,-1,-1,-1,71448,-1,-1,-1,576301,-1,657248,-1,-1,768130,431406,-1,976559,884080,-1,-1,332693,162910,608866,558606,647335,-1,-1,489611,-1,513472,-1,-1,-1,-1,-1,-1,-1,714499,-1,-1,-1,302715,600817,389477,987246,190761,788709,64978,261961,2161,56419,657663,-1,-1,823892,262236,479353,-1,16156,368221,69072,880191,220936,-1,-1,481223,-1,160824,-1,-1,-1,256170,491331,818126,8298,-1,295652,-1,571870,560813,302127,-1,983499,-1,802735,516675,653732,764153,127852,-1,620367,-1,-1,-1,344358,913234,-1,661999,956715,696438,-1,973245,-1,-1,17452,863989,425141,982665,-1,677538,-1,172421,944926,-1,-1,438755,-1,-1,690530,-1,352648,-1,314911,638204,902138,-1,-1,-1,-1,271519,610157,170465,-1,-1,563523,840114,-1,-1,255728,72833,-1,851127,-1,274204,925417,512377,-1,-1,949921,691566,294833,780374,723493,-1,408721,358259,-1,458250,354954,483958,188410,-1,871045,-1,872529,631580,-1,-1,-1,693463,-1,392658,-1,953961,-1,-1,-1,-1,135485,832933,-1,909902,-1,211507,345382,-1,941588,12553,-1,-1,790207,189161,497069,-1,994254,147945,415314,240022,238207,-1,573856,-1,-1,417922,665872,-1,-1,-1,-1,591286,-1,431040,747266,364989,310302,-1,-1,-1,-1,956876,-1,462446,-1,445287,-1,177691,154428,374194,-1,203165,256180,-1,-1,85654,46732,-1,-1,452177,663216,-1,2028,-1,474881,513491,985800,-1,-1,382179,-1,144143,963599,-1,966653,-1,732864,-1,242647,861862,964496,135483,779056,-1,506110,528130,-1,-1,227351,-1,-1,544140,-1,-1,6917,169535,124519,-1,-1,823782,870225,465708,133114,517682,483606,367679,951430,871030,-1,840823,-1,367603,-1,177575,682187,-1,-1,-1,17406,773712,998800,610610,-1,-1,-1,408350,-1,883429,-1,-1,-1,109136,810477,-1,501742,972296,980764,-1,-1,239675,-1,137131,-1,617570,-1,374797,472026,3036,-1,830253,631827,582723,-1,-1,-1,578761,-1,-1,-1,-1,-1,503522,-1,857533,690444,-1,436105,370405,-1,84018,629992,684535,255340,-1,-1,715833,-1,-1,-1,353957,941422,224458,417050,742682,408431,479235,-1,-1,951518,431185,821208,970132,148761,905229,853989,-1,-1,483398,918711,443241,501806,537689,55603,-1,895903,-1,-1,990390,342619,735065,70547,560188,-1,-1,-1,660327,-1,-1,-1,-1,-1,185493,-1,187427,-1,480803,-1,-1,-1,-1,276866,710278,-1,-1,-1,314687,-1,962300,598765,-1,641744,461578,-1,-1,667102,967216,959401,318773,371713,976438,271362,125711,571315,534504,-1,302621,-1,1088,889095,-1,-1,-1,-1,56115,-1,276145,-1,-1,-1,-1,142384,60975,19283,-1,-1,-1,-1,609709,326437,-1,887237,-1,189278,263382,985645,-1,-1,429997,221111,-1,784600,-1,-1,-1,-1,-1,-1,-1,486502,948459,-1,-1,-1,-1,-1,-1,750131,-1,528432,-1,77916,977092,406208,696654,650294,596521,-1,729196,534762,282,-1,839361,573263,-1,421088,-1,-1,-1,-1,899272,-1,-1,-1,-1,-1,-1,-1,318777,-1,393422,-1,-1,376414,-1,-1,-1,8587,623160,420811,745638,-1,261877,74602,366259,-1,-1,903250,646752,320809,-1,410908,-1,34729,-1,106191,824866,-1,-1,-1,761667,-1,326857,-1,51874,-1,316760,-1,-1,-1,-1,-1,-1,833503,-1,719693,-1,-1,86783,405190,-1,306400,-1,987584,-1,360271,540394,-1,-1,238444,-1,773022,511298,282721,-1,-1,448192,-1,-1,944264,-1,-1,-1,-1,402439,-1,176629,-1,149888,-1,-1,593642,-1,144836,909307,746258,233832,929751,97188,-1,990779,-1,-1,-1,681607,150452,51774,1301,-1,611969,856499,992714,-1,-1,63825,801258,627225,-1,-1,-1,733879,2293,-1,394164,616230,246796,101364,867883,-1,-1,196773,639151,-1,-1,985270,-1,-1,111788,774751,335896,869925,213007,813694,331460,-1,751529,940494,62410,966232,-1,73142,-1,469962,-1,-1,-1,-1,669357,-1,275673,-1,743098,-1,844045,-1,924447,204205,-1,-1,-1,967637,229586,414019,58080,-1,555413,543418,-1,-1,352135,-1,789885,141079,-1,50919,523587,-1,933360,-1,570411,-1,299695,131497,-1,-1,-1,741671,919442,904285,426615,-1,806989,666921,761949,656746,-1,465894,-1,-1,482460,-1,-1,-1,-1,484049,102837,-1,-1,916001,337299,-1,-1,-1,743449,401756,-1,-1,-1,-1,-1,-1,-1,156454,-1,502198,989128,625533,949059,189713,835742,-1,-1,209249,2306,231452,-1,130146,-1,-1,319408,-1,937275,508345,476187,-1,-1,755890,372858,-1,-1,618603,-1,-1,-1,501417,529653,-1,-1,118930,-1,865540,485412,31661,-1,90160,-1,940538,427039,640848,529898,-1,73927,479536,-1,-1,-1,-1,-1,293950,-1,-1,884454,-1,845325,481481,279195,199499,-1,-1,-1,620975,-1,-1,625425,-1,-1,-1,843442,11676,-1,554668,-1,151246,503758,580146,779516,-1,873304,-1,-1,-1,-1,446934,-1,857552,771336,99646,-1,92306,-1,-1,-1,-1,789128,220016,626643,260775,136903,-1,-1,-1,-1,-1,809396,-1,332812,496878,-1,109570,-1,599706,-1,-1,368141,738397,-1,-1,-1,-1,-1,-1,51557,403455,462496,720485,294752,283184,-1,-1,176387,186862,-1,-1,-1,-1,406979,-1,353257,315974,-1,-1,-1,-1,-1,259829,303199,947882,675498,133623,200744,20764,-1,812079,-1,483142,-1,649386,88592,165450,765370,-1,-1,-1,-1,300976,506449,-1,438457,989562,833972,-1,-1,483553,-1,-1,384039,219675,740564,-1,-1,-1,69927,237237,277889,573859,808241,-1,-1,235502,-1,540460,389547,667267,-1,-1,124924,-1,-1,149231,69606,-1,609696,-1,-1,370204,-1,468846,-1,-1,-1,-1,-1,-1,144220,-1,249597,-1,-1,659421,254794,-1,701034,-1,-1,480624,109547,-1,-1,875711,-1,-1,421682,147461,-1,784862,-1,-1,872866,-1,743466,92542,-1,-1,-1,-1,980052,392956,502794,-1,726586,-1,-1,733475,887078,-1,-1,299652,-1,753123,870875,343466,244639,-1,-1,969288,756999,-1,-1,717422,905959,635620,76830,-1,-1,-1,-1,650206,168939,-1,-1,-1,-1,-1,-1,-1,796139,171354,-1,-1,216517,-1,-1,-1,-1,225168,-1,819623,-1,332302,-1,-1,-1,-1,653673,-1,918073,818728,351981,-1,710891,397658,785210,474400,86287,741158,717714,120926,146675,-1,-1,595456,578426,404074,174060,-1,157825,-1,788969,-1,535426,-1,376897,-1,203887,-1,48879,-1,-1,139150,576489,880756,-1,957951,344166,-1,-1,-1,-1,285467,-1,-1,-1,-1,185282,-1,783413,486524,408744,-1,-1,239034,495388,-1,219977,391777,-1,89708,913452,676401,517078,-1,801374,294544,362140,246485,-1,-1,810817,349006,-1,366023,-1,-1,550684,-1,97429,962959,124136,833106,-1,248183,-1,-1,-1,889699,-1,-1,-1,36761,-1,-1,832352,264889,-1,-1,-1,-1,-1,-1,976788,-1,780509,-1,672384,352827,-1,453105,26150,567913,584625,254062,-1,-1,-1,-1,-1,-1,-1,-1,-1,908343,-1,-1,-1,650924,-1,27714,712932,-1,304340,-1,873869,241017,228715,298035,311616,967642,201781,-1,698286,993871,546472,452127,303383,-1,392491,-1,504969,364851,105455,-1,550221,-1,840189,-1,-1,-1,771545,772800,-1,-1,357552,-1,890703,-1,-1,-1,-1,-1,287910,-1,23817,533867,-1,-1,423199,330435,-1,-1,512144,-1,217347,-1,245019,-1,66644,294513,866974,-1,-1,982857,-1,280904,189006,-1,-1,883555,-1,873421,-1,-1,-1,-1,-1,526648,-1,30882,-1,-1,-1,976461,-1,933638,726958,380755,780027,1861,964317,299174,275024,-1,72279,249222,938769,374722,-1,-1,-1,-1,458262,382768,42653,-1,-1,291702,-1,-1,-1,662634,753899,-1,185182,-1,548970,-1,-1,-1,-1,471826,-1,283594,-1,-1,781884,755506,-1,640743,-1,386945,-1,-1,-1,503193,-1,757335,721801,-1,976291,-1,-1,-1,368290,-1,803998,1003,-1,273443,301446,198666,-1,-1,-1,22548,-1,-1,-1,286926,-1,-1,-1,404482,541598,-1,208375,91575,709413,234216,530858,-1,552699,-1,391906,-1,-1,-1,-1,247387,-1,-1,533809,389714,-1,-1,958716,-1,617699,-1,-1,-1,-1,809395,-1,-1,769655,-1,23220,-1,-1,-1,-1,-1,497000,415008,-1,731291,-1,66913,-1,-1,558735,210689,-1,-1,224614,233088,569445,-1,134195,-1,220315,466038,533102,537072,220320,-1,741019,-1,-1,-1,613839,-1,-1,-1,696990,-1,602539,194485,368251,487482,-1,-1,944275,-1,-1,694512,173657,751398,809163,-1,463298,434247,416060,477274,606064,-1,-1,-1,20657,534408,99053,404950,764003,-1,629212,-1,-1,-1,-1,-1,331951,-1,-1,-1,-1,-1,987727,285299,460401,830053,496559,622175,572310,356969,10121,-1,-1,-1,195787,-1,171985,732394,391357,448493,-1,550374,673137,670682,764482,-1,348783,-1,-1,-1,38668,232512,125743,445756,382838,774714,320409,-1,310395,-1,737430,-1,-1,747171,869040,-1,-1,804971,-1,-1,208789,784712,-1,580825,-1,572597,504405,-1,-1,216899,161368,620047,808508,94964,-1,745114,-1,-1,983497,767553,-1,-1,240668,-1,56751,364610,598167,-1,930500,-1,57009,273735,-1,872011,-1,-1,-1,305428,300784,-1,63523,575151,888148,340257,626925,-1,150467,766666,-1,-1,83018,172987,317552,-1,187676,224643,-1,571936,598115,-1,-1,170111,-1,-1,385779,-1,390590,-1,793516,-1,998281,-1,831702,586402,-1,778872,991118,31364,526139,-1,-1,-1,43926,-1,-1,-1,781988,-1,-1,-1,-1,-1,-1,214448,398379,104471,-1,606224,-1,-1,3761,-1,-1,189812,-1,92312,861511,-1,550980,-1,658248,959339,-1,962833,525953,665421,-1,353256,14607,-1,287045,261714,-1,-1,-1,759767,-1,771028,917682,-1,526699,-1,909803,-1,915123,84253,892230,-1,524587,534835,-1,434363,743770,-1,-1,707794,335279,-1,-1,525300,-1,291006,-1,-1,36694,593514,-1,-1,-1,-1,249565,-1,543135,-1,85678,233271,-1,-1,-1,-1,770107,697646,817176,-1,-1,83840,-1,889891,624349,749092,-1,-1,-1,126461,275933,-1,769102,-1,-1,129985,801430,-1,307922,553574,-1,594046,-1,-1,-1,625845,-1,-1,881418,501820,-1,-1,907749,-1,199038,841525,-1,232975,-1,355880,751896,297932,-1,-1,-1,25156,611857,-1,-1,-1,959815,904160,540057,-1,472437,242605,-1,-1,-1,232625,-1,-1,743459,606960,-1,-1,-1,61494,106559,-1,270635,-1,-1,-1,-1,231080,348955,-1,-1,-1,951395,941181,-1,526597,913822,712278,-1,550582,546132,186195,681147,701012,-1,-1,172402,510278,-1,943537,621967,-1,429969,-1,-1,155181,527079,44417,710913,216765,914478,-1,-1,893332,979613,685126,-1,262821,962623,-1,-1,-1,-1,-1,-1,-1,-1,273714,-1,478362,887117,-1,-1,461030,-1,-1,860407,955106,394313,-1,344653,275282,-1,737844,766494,398583,-1,222313,-1,-1,-1,957771,773678,-1,682567,-1,-1,-1,-1,26406,-1,-1,-1,-1,-1,-1,353114,-1,631112,-1,-1,158790,-1,-1,689101,75403,580587,-1,-1,301885,-1,-1,886646,765531,-1,752135,-1,813690,947427,-1,-1,432550,-1,821082,-1,-1,-1,800295,214685,-1,-1,389342,946408,-1,-1,-1,-1,-1,-1,-1,793034,-1,-1,-1,-1,527682,-1,-1,-1,162248,543486,-1,744567,-1,211763,883561,-1,-1,553575,721193,-1,-1,991541,340708,184000,-1,-1,-1,158726,290286,-1,511459,680474,932462,-1,-1,328100,780186,603516,-1,524075,869241,623622,696593,152636,-1,841414,-1,957896,-1,694782,-1,109891,392531,-1,-1,-1,-1,-1,-1,-1,102684,558795,240724,604951,-1,-1,777953,-1,119235,258450,-1,96068,-1,-1,-1,-1,94653,404807,-1,-1,304604,391261,-1,122337,612939,259928,115524,837528,-1,392125,56448,-1,642846,-1,358854,456990,440881,989620,878735,771215,435456,891411,169359,300763,-1,-1,-1,-1,-1,460641,317037,908799,-1,-1,129360,215684,-1,-1,-1,-1,326521,-1,467316,-1,196917,-1,39189,880447,111239,-1,483332,153549,451055,349450,925044,668199,301377,272352,460128,572135,-1,17626,173103,-1,742481,73283,-1,-1,-1,311473,-1,-1,105025,910933,721870,878021,113020,-1,175269,-1,-1,-1,-1,-1,-1,897937,-1,-1,886428,-1,319062,-1,755059,679867,-1,952071,506200,-1,93462,-1,-1,-1,168237,-1,530949,-1,878247,152799,858493,-1,-1,571442,279392,-1,-1,742804,718333,299199,388083,377144,49043,587388,-1,627110,-1,399088,-1,174511,-1,-1,-1,408442,35094,23800,487307,548732,-1,-1,-1,382206,561638,-1,492440,482076,-1,82180,1373,591149,196603,-1,-1,-1,770497,-1,900479,-1,813615,-1,715885,-1,-1,-1,-1,-1,262483,-1,-1,-1,-1,-1,-1,-1,-1,76645,-1,579674,281405,728613,-1,14749,525805,-1,306631,-1,251794,-1,304680,882935,591287,-1,-1,815790,532536,391902,-1,578814,-1,339608,-1,10417,-1,945555,-1,-1,961788,227733,-1,-1,-1,-1,-1,520040,-1,321843,900099,257017,840156,-1,-1,625037,163808,154526,-1,-1,125021,819231,-1,-1,810795,565531,310364,-1,522531,-1,222661,14731,358139,365917,721836,840961,-1,-1,183911,871294,-1,-1,-1,-1,400894,52464,-1,-1,-1,-1,-1,318407,409784,-1,-1,-1,211159,-1,9144,765799,684892,-1,-1,652075,-1,828974,272901,-1,907525,824801,-1,351748,57092,218111,809067,116948,663257,7146,-1,-1,728861,-1,12194,-1,793747,459098,-1,-1,847902,-1,-1,-1,670150,417236,-1,537771,-1,157601,773975,645129,-1,-1,-1,458376,-1,-1,-1,522130,70483,-1,17419,-1,508579,-1,602784,-1,261392,904932,812755,59209,-1,429550,-1,763334,-1,424069,598675,659415,3630,928810,-1,66714,365415,141467,712236,-1,432125,-1,26563,-1,-1,658004,-1,898351,73202,-1,-1,-1,-1,115746,-1,139729,-1,-1,93586,-1,-1,327074,-1,-1,732587,66135,963808,529374,-1,745102,-1,-1,762920,83536,-1,469028,502352,-1,755536,352043,801550,-1,-1,-1,256838,946003,823978,678367,929487,117667,729293,-1,-1,-1,913278,628641,-1,491387,107562,-1,-1,-1,-1,880020,979284,-1,-1,-1,-1,-1,664830,973385,-1,-1,792888,912887,162937,-1,600513,565097,337741,-1,-1,-1,-1,426368,-1,-1,291344,436097,-1,-1,-1,-1,160085,581745,-1,-1,361032,-1,-1,967291,-1,-1,152805,270484,933107,-1,623684,339593,-1,809853,668013,890174,-1,-1,891177,-1,873137,955680,-1,180503,-1,185594,-1,-1,966326,160872,-1,-1,-1,-1,-1,661322,466206,-1,671599,-1,-1,-1,-1,941063,754230,851237,-1,-1,-1,967849,581752,-1,683750,493842,-1,237041,400088,810043,772372,-1,117063,723417,445170,-1,-1,-1,231821,626484,-1,-1,-1,51708,575487,564894,-1,757661,749644,665917,-1,-1,381306,-1,75797,-1,252935,280166,-1,947232,-1,-1,985559,814642,-1,886339,-1,-1,-1,-1,882748,853399,-1,-1,325827,-1,-1,-1,-1,368361,-1,-1,885524,-1,37703,831787,231823,-1,404786,-1,-1,175220,-1,137191,-1,-1,768080,-1,418058,-1,-1,-1,162003,-1,-1,-1,-1,773886,-1,188627,733895,-1,-1,712788,433144,695627,388500,-1,-1,128203,-1,940889,979353,-1,-1,667861,63634,-1,-1,312628,-1,-1,-1,794937,830463,-1,596949,536996,-1,928515,-1,336671,207714,390846,966678,-1,334488,-1,600335,-1,338382,-1,-1,552404,-1,296761,588437,-1,327851,-1,804800,-1,-1,768913,988870,-1,287014,356359,-1,-1,-1,234442,-1,209686,-1,849681,359408,581381,446713,416773,-1,843910,527963,871162,-1,853812,-1,-1,-1,787971,549068,-1,322420,629490,233465,-1,-1,-1,-1,505769,700835,-1,-1,503176,-1,-1,197515,-1,-1,-1,889430,-1,270293,532434,-1,-1,-1,-1,-1,980735,-1,532107,767637,889264,-1,794796,757934,-1,-1,-1,-1,-1,724623,-1,483464,-1,147303,-1,716687,-1,-1,822835,922238,-1,381006,-1,-1,-1,825398,377006,-1,483519,301781,348890,847183,-1,590670,-1,-1,167308,19767,-1,-1,-1,443898,-1,403606,750097,-1,794903,56994,-1,133646,76250,-1,846663,-1,-1,628181,715825,248633,865245,498201,-1,687404,230112,827269,341630,-1,566548,5130,698965,-1,788977,-1,97723,486174,-1,946374,204544,-1,-1,-1,-1,12198,778785,-1,-1,-1,311692,186734,-1,127569,813327,873021,-1,922905,-1,434318,149643,892159,19500,389058,-1,-1,215670,-1,532306,302323,-1,-1,632714,380573,-1,-1,-1,566523,-1,303745,939719,-1,-1,-1,-1,804249,-1,-1,593940,-1,-1,-1,379985,932922,285368,795893,905267,-1,86724,659244,90132,-1,-1,-1,-1,107592,-1,279821,-1,698656,-1,-1,189,382594,888241,696627,-1,736589,163214,-1,22448,888539,519809,233319,951572,-1,-1,267588,757596,-1,360001,-1,661631,-1,882884,-1,905319,90660,584045,131340,-1,-1,-1,-1,-1,894469,-1,-1,151691,925656,-1,-1,-1,298194,436332,812659,87635,888074,26144,455425,-1,-1,-1,-1,875173,277669,-1,-1,746898,560440,796522,558006,-1,988210,86542,-1,-1,-1,393862,270564,-1,-1,-1,-1,164489,-1,-1,551041,-1,211823,-1,-1,-1,714412,205335,444942,-1,-1,-1,-1,-1,659183,-1,261632,-1,-1,-1,662804,47101,471446,-1,297736,267990,281994,967993,37773,-1,982450,-1,-1,-1,929129,855308,-1,-1,784652,46963,-1,812666,-1,107634,34843,462303,-1,270518,941274,120515,184670,-1,-1,5750,-1,-1,-1,698526,-1,62591,-1,544629,45727,-1,722396,-1,-1,79839,208241,-1,68379,574207,501551,118990,810088,53514,-1,-1,-1,460514,-1,517997,205809,866857,353134,-1,-1,43530,771167,-1,-1,-1,126576,891615,-1,-1,224472,-1,981220,324503,800565,625843,133852,-1,915553,523179,-1,-1,241690,893352,-1,-1,814241,-1,405290,57831,71122,-1,-1,-1,-1,892045,-1,70545,16479,228178,961775,229618,-1,389900,-1,792196,524041,-1,568639,-1,934398,13689,190182,526644,207711,-1,57478,618555,-1,-1,910828,448342,444894,589139,735486,152654,-1,-1,-1,-1,108573,-1,857087,-1,-1,681954,627187,470748,-1,945834,-1,-1,-1,637658,257183,45175,324873,-1,203838,-1,705639,871113,22884,-1,-1,66596,-1,342463,186930,-1,-1,415698,99844,815891,-1,37897,477832,-1,137473,-1,-1,-1,-1,39860,-1,-1,793734,-1,-1,801636,887636,573498,908142,-1,852935,-1,275292,685819,-1,182138,-1,356396,-1,550366,515654,381739,559679,-1,932872,-1,-1,-1,-1,-1,188920,-1,200502,163,-1,504825,35880,-1,-1,358952,-1,-1,-1,-1,158582,-1,184848,-1,872630,114715,-1,12170,485364,145891,783131,-1,-1,168105,240014,711090,-1,-1,-1,-1,-1,367895,-1,-1,780777,-1,-1,-1,213161,7644,806675,-1,-1,664808,633449,-1,636887,884340,699405,613098,-1,412346,114910,504624,-1,267037,108396,155411,722600,-1,873003,601364,-1,-1,-1,181273,520797,-1,-1,942571,180751,720203,486409,169101,127600,-1,225944,-1,-1,653356,905198,-1,327932,-1,-1,603374,809050,691837,331003,-1,361998,225878,874730,355542,-1,541592,717697,528679,693604,750105,-1,-1,815698,-1,845924,574565,369014,305032,-1,-1,-1,-1,-1,923993,-1,-1,-1,-1,858531,322933,948216,-1,-1,-1,-1,814873,401931,484319,632027,-1,437877,-1,341047,-1,-1,444352,-1,472588,-1,-1,928786,570234,-1,516323,-1,298815,-1,-1,175666,512651,141494,-1,749534,-1,682298,97983,191284,-1,115065,758810,777887,398307,1471,-1,910474,-1,840882,448556,-1,212732,494029,310308,-1,-1,-1,388,-1,-1,526063,397991,-1,-1,-1,-1,33598,-1,628248,-1,429132,-1,-1,930663,-1,444448,-1,274974,-1,239409,-1,386351,413476,-1,-1,-1,234006,-1,-1,375344,-1,875219,-1,-1,-1,88467,-1,508770,158513,-1,592945,492481,303139,-1,-1,670917,-1,-1,259511,-1,975536,-1,932798,-1,-1,-1,755810,278046,-1,-1,-1,831265,768032,-1,-1,-1,-1,425775,344187,-1,-1,-1,-1,875316,206645,-1,-1,983362,959281,-1,103102,-1,223442,-1,56018,206880,106272,920684,344327,-1,-1,-1,-1,-1,142919,786716,767422,-1,266836,-1,137905,-1,-1,-1,714930,-1,-1,158373,-1,474180,333367,-1,907734,-1,-1,-1,-1,878324,-1,810513,671005,-1,-1,-1,997073,-1,932343,-1,-1,-1,-1,45721,-1,-1,-1,-1,118860,369425,-1,-1,856065,-1,-1,742847,328124,-1,-1,160815,42044,-1,662046,-1,146569,-1,-1,365282,790032,-1,-1,-1,959647,781397,-1,-1,459181,342529,-1,492452,-1,31323,521281,402256,730026,685716,-1,-1,782855,-1,185584,-1,494268,225842,-1,264230,-1,446607,621276,-1,955948,130402,847344,-1,869861,797147,-1,-1,258333,-1,497938,949918,-1,-1,972866,-1,738863,238837,-1,-1,604982,829512,64457,524520,461294,-1,420470,-1,-1,-1,-1,608615,866695,615565,-1,619454,521490,718446,78577,-1,58939,728087,-1,-1,737499,254763,9429,252716,312519,687865,-1,342962,713177,-1,560838,347175,773888,-1,-1,267739,950950,427333,588925,-1,-1,648090,266261,-1,313949,693406,-1,-1,824106,598834,-1,-1,739815,171130,896455,-1,967418,477912,22354,768564,-1,429364,-1,-1,-1,377744,-1,-1,-1,-1,721813,133115,-1,-1,168732,-1,727141,110437,32335,921727,885052,36355,828352,-1,-1,-1,-1,387116,594850,433463,969065,-1,621614,-1,507127,653807,-1,540299,9085,-1,815211,-1,9867,-1,-1,203745,-1,448533,564777,829452,692798,-1,675819,-1,-1,911834,-1,-1,-1,352218,691091,887365,139675,-1,196021,-1,683225,-1,148399,-1,301006,63483,107878,-1,403636,-1,154343,-1,-1,797354,-1,575143,-1,199074,-1,-1,-1,-1,122758,906708,-1,-1,-1,172561,687831,366384,-1,981460,444376,97775,770314,-1,147652,-1,470167,-1,814775,446332,-1,137605,176703,-1,-1,-1,620123,990523,-1,971666,795400,456795,-1,-1,174364,418106,167558,-1,-1,-1,42721,-1,-1,-1,-1,319246,330940,-1,-1,463546,67547,473780,712131,747299,-1,-1,847189,-1,887160,659391,-1,-1,374160,-1,-1,-1,-1,-1,127464,-1,284747,-1,50162,300528,319140,-1,332108,-1,-1,190370,143232,-1,-1,-1,612871,-1,-1,-1,-1,796132,926125,-1,-1,216321,195667,114698,-1,-1,530092,225021,110785,94642,420674,-1,40341,545942,149486,-1,-1,-1,278238,-1,-1,70429,-1,327378,-1,-1,-1,956439,734474,871218,23284,-1,-1,894728,393302,-1,805699,-1,-1,978674,-1,-1,-1,-1,483878,-1,625547,109933,36682,591842,690055,-1,-1,266960,-1,812964,-1,-1,-1,-1,-1,616734,689342,-1,-1,-1,602346,-1,-1,353326,3935,846947,131402,-1,-1,885686,434346,534122,473681,-1,325789,853041,-1,-1,746075,-1,-1,881142,652637,464030,110137,-1,-1,-1,912575,452487,-1,49103,-1,-1,-1,323358,-1,-1,-1,-1,499547,-1,147008,515450,-1,-1,173938,-1,833598,-1,-1,-1,179054,-1,-1,788820,978468,-1,169308,162453,-1,394635,-1,-1,-1,-1,-1,546436,-1,-1,807833,-1,223250,-1,-1,843781,-1,172170,-1,-1,592641,153635,871234,-1,-1,832667,480422,215289,-1,819960,164758,504498,193211,605069,800621,-1,-1,641115,-1,427249,648664,131357,-1,585268,399414,-1,448368,-1,-1,401339,-1,-1,-1,222395,676090,-1,142773,-1,736471,812196,290262,-1,-1,-1,876487,666247,741787,733446,-1,-1,567986,740383,795783,-1,-1,607656,854306,487856,432409,-1,-1,735288,-1,-1,213772,-1,863580,-1,-1,-1,316822,-1,-1,-1,564073,-1,2850,339817,439933,899094,-1,-1,-1,-1,617265,-1,17433,-1,-1,996260,-1,820203,-1,-1,499691,864549,-1,321837,-1,-1,232609,-1,-1,253018,64411,759044,-1,441061,50266,-1,-1,-1,593829,6143,384754,-1,170827,-1,-1,-1,359327,606484,262991,425929,-1,294987,46737,493432,940766,690012,-1,-1,662631,491204,114073,-1,-1,192289,56151,400586,35776,-1,-1,459417,950998,766645,-1,785318,-1,-1,-1,-1,950666,-1,-1,963215,151135,167391,-1,-1,298750,-1,996000,575307,-1,734752,-1,36461,443131,-1,939919,188160,-1,-1,-1,485800,-1,-1,-1,865421,-1,-1,984761,-1,-1,-1,-1,283617,-1,-1,-1,105584,-1,-1,702734,-1,851863,753692,432762,-1,-1,425747,-1,528273,-1,-1,894065,773241,-1,-1,-1,540037,-1,373481,-1,287625,-1,155529,-1,-1,-1,-1,-1,-1,960310,-1,-1,353390,419274,-1,-1,-1,483156,966215,-1,560508,-1,457139,-1,97939,175578,458834,684395,-1,-1,-1,-1,-1,853960,-1,709473,497532,-1,705016,99554,-1,-1,131376,-1,-1,392943,188616,383628,451399,169830,-1,-1,800139,60381,-1,30203,-1,-1,-1,-1,327598,766192,-1,788756,-1,874119,-1,279126,-1,912297,761312,-1,-1,-1,-1,18278,-1,-1,87626,-1,-1,799843,-1,-1,-1,-1,-1,266292,-1,176037,593650,-1,-1,103596,429702,-1,396728,-1,-1,-1,308874,314378,73048,-1,-1,-1,-1,39345,-1,-1,-1,-1,-1,-1,-1,359278,849763,-1,59327,-1,657011,-1,-1,134136,-1,-1,-1,494064,814122,-1,832092,-1,217880,-1,-1,-1,-1,-1,-1,-1,474589,-1,-1,-1,-1,448852,-1,573615,447228,183987,913794,-1,-1,273171,614350,-1,-1,-1,-1,-1,143522,-1,-1,860099,465442,472567,307636,-1,-1,-1,102906,-1,958018,947978,-1,381981,274009,-1,-1,-1,-1,176125,-1,-1,-1,-1,931141,521057,-1,-1,614900,-1,558443,288239,976619,-1,-1,62587,794449,-1,583634,799244,-1,-1,460893,-1,-1,-1,-1,-1,462755,-1,-1,-1,-1,594905,789925,158917,-1,-1,260272,63768,819627,-1,601642,873240,-1,923038,-1,-1,67252,-1,-1,-1,-1,-1,-1,-1,-1,-1,901,824450,-1,64376,-1,-1,860467,-1,441082,374563,-1,-1,468402,-1,854143,118460,-1,-1,981198,339329,-1,-1,187982,-1,150859,146904,-1,322823,742854,-1,-1,-1,-1,-1,-1,-1,274646,355460,106925,165323,-1,610245,-1,12384,-1,466618,178,852545,-1,821720,173045,-1,-1,-1,562462,470232,-1,-1,-1,-1,957662,777798,781680,-1,818843,-1,-1,-1,567324,-1,668279,369346,-1,108095,-1,428180,-1,741843,-1,871176,560066,101319,-1,814238,738926,-1,553657,816084,-1,-1,944031,-1,-1,160582,839621,-1,378072,-1,933241,-1,-1,958378,-1,971131,-1,87687,-1,-1,499082,-1,-1,681842,-1,758819,308178,572692,654586,-1,41663,-1,-1,535228,392610,-1,-1,753618,611431,539715,164967,872910,-1,934462,150805,-1,-1,-1,-1,81323,333179,789435,-1,188809,684983,-1,-1,-1,500059,840511,649560,71156,-1,-1,651275,-1,872098,-1,635494,639832,708699,-1,-1,-1,-1,-1,605409,132751,542338,805667,136483,672693,105185,379935,-1,-1,680245,417462,-1,-1,-1,-1,-1,212157,36250,-1,135457,137068,-1,-1,412866,405025,885896,-1,129076,-1,-1,-1,-1,129405,-1,-1,-1,332295,-1,345217,-1,-1,-1,301347,76326,-1,2323,-1,-1,-1,-1,-1,-1,214783,-1,-1,-1,-1,937374,-1,563692,733144,-1,-1,-1,201342,753093,656424,-1,346107,-1,569004,78896,-1,595538,-1,-1,597400,-1,126483,129714,48758,-1,585132,619638,694516,-1,483733,625029,-1,-1,534848,748216,-1,-1,-1,-1,804182,-1,162795,559117,-1,944567,-1,903280,929508,-1,-1,-1,-1,-1,-1,-1,-1,36851,545110,-1,435115,-1,-1,446349,-1,-1,-1,557641,-1,531155,-1,677028,645939,193338,249293,518366,-1,893016,-1,-1,-1,-1,179742,-1,419621,-1,-1,-1,-1,-1,157798,-1,772227,982153,491354,851157,-1,181020,455398,-1,-1,-1,112378,-1,623455,-1,373203,-1,459926,991254,-1,-1,-1,987474,-1,143635,-1,-1,-1,-1,128763,558714,-1,-1,610073,-1,543118,225095,878701,998985,577390,318109,-1,-1,-1,78988,329711,-1,-1,55079,881037,442150,-1,-1,-1,-1,32425,260814,-1,695024,-1,377510,-1,907981,80880,-1,-1,364537,910420,-1,392178,-1,-1,-1,-1,-1,-1,-1,881467,392499,-1,117693,-1,282482,-1,-1,-1,-1,-1,818052,-1,-1,-1,-1,-1,-1,-1,-1,-1,414917,-1,551180,-1,-1,-1,658077,610999,-1,-1,-1,-1,596328,-1,-1,-1,527718,837282,-1,-1,-1,39976,16466,305062,-1,993051,552379,560311,-1,-1,-1,-1,-1,-1,-1,807692,479284,288189,87708,-1,976812,-1,698495,-1,-1,-1,-1,-1,742655,291260,241824,-1,581317,-1,-1,789779,-1,304434,-1,478322,-1,77483,-1,735469,512548,539254,837637,28046,858434,-1,746289,186402,21831,-1,203520,-1,-1,-1,756405,627846,835214,-1,791692,249408,825390,816549,-1,404399,-1,396471,560057,-1,-1,81505,713618,442124,-1,-1,446795,-1,875552,-1,-1,-1,807332,-1,523472,-1,749255,305582,-1,640329,-1,365557,-1,-1,698808,-1,-1,-1,827862,780929,545111,441597,391348,58158,-1,-1,200206,-1,601264,5070,-1,391564,-1,-1,-1,-1,117738,110744,-1,208370,730428,-1,-1,-1,-1,540775,-1,-1,-1,-1,-1,720665,-1,624848,338343,453437,794450,767904,473458,428491,312365,-1,-1,294415,690649,-1,-1,-1,488937,618619,-1,-1,-1,-1,850189,-1,-1,456715,-1,-1,435717,348020,-1,998359,2673,186915,-1,-1,-1,996324,-1,-1,893183,-1,895039,-1,-1,562962,834384,295624,268890,425987,337361,-1,9846,-1,90799,-1,74070,489903,-1,352743,-1,-1,-1,673391,784785,-1,-1,685241,557988,-1,225923,-1,397660,-1,-1,-1,-1,-1,918899,-1,544707,481434,-1,-1,-1,27229,-1,77619,607139,346969,-1,-1,180306,-1,290593,754471,-1,123589,-1,782922,-1,341266,-1,915990,922,-1,-1,-1,848059,-1,-1,-1,473606,-1,-1,-1,-1,262581,-1,148344,-1,801335,495595,353274,-1,617882,-1,-1,153552,-1,-1,-1,-1,692719,-1,99987,226985,-1,-1,-1,193934,-1,590160,-1,687165,-1,896712,-1,-1,147566,-1,-1,948077,-1,-1,-1,-1,30955,-1,-1,-1,855107,284531,-1,590337,-1,-1,-1,-1,-1,527925,629831,673166,401241,-1,-1,-1,-1,996979,-1,284576,319584,244555,-1,-1,-1,178688,194375,-1,-1,318192,-1,-1,-1,906365,-1,-1,439961,-1,596217,978773,803053,-1,-1,873297,872887,24594,-1,-1,331074,-1,848780,-1,-1,211606,-1,-1,-1,-1,27738,-1,384805,557768,204861,-1,620731,287679,744654,-1,-1,569672,726328,-1,-1,264123,255526,-1,-1,680424,-1,657330,879279,-1,77854,-1,912473,-1,832284,-1,544174,-1,663233,-1,-1,-1,-1,474813,394876,969362,95424,-1,-1,-1,314490,-1,273845,-1,905027,-1,633013,372121,-1,-1,-1,96997,-1,373301,-1,352019,566923,746014,18667,-1,645751,-1,265906,-1,-1,66432,-1,223533,636939,-1,714011,-1,-1,957718,-1,664022,149404,-1,421975,-1,-1,758344,978410,-1,568339,211241,950290,-1,-1,-1,156804,238068,506510,-1,-1,-1,-1,942285,-1,883709,827800,-1,-1,855816,308696,293073,-1,-1,191529,-1,932880,-1,709897,-1,212115,553478,-1,-1,248188,112538,78623,-1,-1,-1,-1,175771,-1,433831,945432,-1,686139,782837,299026,-1,-1,746073,39384,-1,10002,-1,435282,-1,-1,795481,-1,979475,-1,521653,635410,219064,-1,-1,-1,632967,957463,-1,110021,53801,-1,-1,726585,570179,-1,361586,902685,459987,-1,-1,76872,541730,-1,632986,638954,887404,576941,66901,445302,732065,-1,-1,914057,901467,-1,501349,-1,-1,54082,846462,292906,-1,274415,463873,-1,48701,-1,865468,-1,960258,175284,140288,-1,-1,-1,114005,-1,-1,28005,441172,386126,-1,-1,-1,-1,116152,948100,-1,-1,-1,-1,520816,-1,-1,-1,214148,-1,-1,-1,-1,-1,640882,-1,-1,470303,758796,582643,871914,338329,510240,331055,-1,-1,-1,606493,-1,-1,643764,-1,-1,-1,-1,695137,917324,-1,323149,-1,-1,-1,457258,-1,-1,718884,566956,-1,308004,-1,556170,755330,347014,240200,832981,555166,-1,413061,-1,-1,33141,482971,-1,-1,-1,-1,-1,976892,281657,794561,-1,-1,-1,-1,-1,676179,839160,266939,-1,-1,-1,-1,-1,-1,134941,316288,879489,17525,-1,-1,258707,414488,-1,673818,-1,639399,430903,316465,-1,-1,73960,873754,364776,-1,972792,-1,130805,572755,314287,-1,164783,329329,-1,-1,144555,-1,533679,299236,910809,-1,249472,-1,-1,-1,935919,431244,854570,715779,-1,-1,778319,-1,750763,-1,757545,801828,-1,-1,90609,493736,88237,-1,60968,195207,-1,158817,755615,29063,-1,502155,189905,-1,58744,-1,-1,785463,96674,982393,853360,-1,299472,727909,438875,-1,861143,-1,-1,511527,-1,-1,-1,-1,582614,-1,-1,801574,83853,299845,-1,-1,438046,-1,-1,-1,130658,1224,-1,325018,-1,-1,807252,-1,-1,718194,-1,-1,917023,851975,886033,483653,-1,247386,287183,-1,-1,557471,-1,685904,793679,136188,602287,42613,414559,-1,-1,-1,-1,-1,-1,-1,418855,-1,84508,-1,415531,683726,433274,-1,-1,29356,977658,69159,-1,129617,-1,576209,505251,119608,404586,213553,-1,455919,-1,-1,-1,-1,378062,-1,768390,-1,942381,101856,151882,-1,692434,-1,-1,-1,-1,-1,855029,-1,9904,-1,363533,151949,816757,489349,-1,-1,-1,386706,998832,647353,206075,789821,-1,-1,-1,547178,-1,-1,-1,774055,396186,-1,-1,394732,-1,-1,493128,-1,-1,398596,-1,-1,-1,-1,545298,106123,-1,-1,-1,-1,533629,-1,897211,-1,52639,-1,568702,-1,-1,-1,-1,-1,77951,-1,375195,-1,-1,889946,473348,555892,896394,-1,76637,-1,-1,-1,304234,850402,102788,669749,458054,594588,793265,644201,284621,850214,-1,790141,990775,456982,-1,-1,625921,637372,-1,481397,-1,343497,930789,-1,-1,-1,-1,614706,845216,799891,709514,564144,-1,576752,177436,-1,882019,919454,-1,466488,69892,-1,972425,762271,970177,569424,277323,-1,-1,-1,-1,-1,658545,469341,114695,47192,135244,-1,-1,900534,249482,-1,739249,-1,-1,845853,-1,-1,62070,-1,255858,-1,719206,-1,-1,374197,-1,-1,-1,430061,-1,-1,-1,467476,717791,266131,617837,727061,-1,-1,-1,-1,479206,49668,-1,-1,-1,-1,-1,-1,880231,-1,-1,834839,-1,-1,947,17158,131652,-1,-1,-1,336840,-1,49849,-1,699000,528075,-1,54628,-1,-1,220167,390478,-1,111757,666982,184459,576671,522467,731296,209603,-1,-1,-1,661163,-1,-1,756179,488065,338348,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,966151,843352,693314,-1,629585,944365,-1,139371,625691,-1,544094,605520,-1,-1,66116,-1,157895,306371,956128,-1,-1,760133,-1,907587,813462,103083,220567,-1,665402,-1,-1,-1,740991,-1,549520,-1,-1,310228,27746,-1,419860,506540,-1,92886,664482,317649,-1,668889,-1,904220,159951,703842,-1,255571,-1,-1,986037,-1,855322,151813,-1,-1,-1,-1,-1,168290,-1,34960,697166,223069,-1,172549,5466,-1,-1,699969,-1,-1,221715,694509,107947,-1,-1,-1,967649,148763,-1,-1,-1,955298,595108,468887,937863,902438,-1,199504,452334,324788,-1,-1,70698,906755,-1,390993,-1,-1,560767,-1,539235,-1,132323,565094,-1,-1,509488,112511,539303,950355,460293,726,276160,688569,11060,749485,148073,-1,708364,-1,-1,835015,314035,-1,887690,-1,875189,165291,-1,-1,917081,429502,745757,-1,952868,-1,318244,-1,-1,107310,847988,-1,-1,-1,18886,314775,-1,-1,625082,444363,-1,412037,-1,-1,-1,216167,-1,-1,-1,-1,-1,-1,-1,-1,-1,477149,478812,-1,500847,747265,-1,-1,722435,-1,281056,893013,304840,138457,23416,-1,154331,-1,-1,-1,511421,-1,895695,-1,-1,-1,875354,723427,-1,963617,586003,-1,-1,301337,-1,769997,226122,931325,262865,566351,766173,739671,768562,-1,-1,319137,281843,-1,-1,-1,-1,984179,500701,60379,266658,-1,-1,406613,420673,689246,561495,330806,-1,161273,-1,-1,-1,-1,-1,-1,-1,-1,427556,178285,-1,-1,-1,-1,105857,-1,-1,-1,166030,-1,134442,592894,284932,-1,-1,-1,-1,27922,-1,314827,-1,-1,862326,-1,-1,284251,423845,211242,-1,634240,7593,425293,-1,813564,-1,-1,818479,850702,881280,-1,-1,949273,-1,-1,796479,988351,-1,15105,-1,399022,-1,-1,-1,520731,743342,770148,-1,-1,816744,528061,-1,82106,849794,330854,-1,-1,327211,354785,648261,85736,666901,-1,-1,-1,254803,725286,414604,-1,15426,5178,-1,961885,-1,398448,324036,-1,-1,-1,-1,-1,412099,169580,404729,-1,362777,743113,-1,-1,-1,-1,299950,469382,-1,626155,753789,-1,360629,-1,-1,649921,247336,-1,-1,-1,-1,1880,-1,796121,-1,514192,715896,-1,-1,210437,851843,-1,-1,297638,199181,60967,86241,629224,648034,-1,185954,220438,865035,985144,-1,-1,334798,818553,-1,-1,282797,-1,143446,422475,-1,-1,559027,-1,248958,882540,492891,674914,584947,-1,-1,-1,449943,263236,532018,-1,733622,750047,772394,535401,-1,-1,-1,267579,732590,969519,606615,116867,287392,-1,626085,272279,764115,-1,766887,-1,683594,-1,500463,720079,-1,137206,344073,-1,233610,145347,-1,-1,-1,-1,-1,-1,169843,807541,-1,858323,-1,694211,-1,-1,-1,-1,707456,357110,837446,11043,-1,-1,838050,-1,-1,640097,-1,-1,-1,-1,-1,851264,784660,-1,895417,-1,-1,954441,545869,265384,229418,658902,-1,480539,147105,292037,169919,771728,92560,687473,-1,52142,611403,-1,211152,-1,696071,62264,655729,-1,-1,-1,-1,308485,455446,850711,42440,-1,317028,-1,320001,-1,620843,-1,-1,-1,714828,520505,913170,976668,466625,-1,-1,108006,-1,-1,-1,643541,300651,-1,-1,-1,-1,-1,52831,-1,-1,-1,-1,496722,103388,-1,339835,807525,-1,897033,-1,-1,-1,112990,-1,-1,795933,-1,-1,-1,-1,-1,782336,304993,-1,292053,950277,760499,-1,-1,875842,-1,-1,363149,-1,-1,131610,-1,-1,498550,-1,-1,-1,718163,-1,622758,-1,281165,-1,-1,196142,-1,-1,756803,-1,-1,341714,321885,-1,595828,620493,-1,494903,-1,-1,97433,-1,158896,-1,429175,-1,362700,-1,166704,-1,210863,-1,776625,566032,709904,39533,487375,760923,-1,-1,756230,-1,453596,-1,700326,-1,-1,-1,860522,-1,-1,-1,766941,-1,-1,-1,-1,481514,591192,685926,-1,925568,896744,-1,556183,190438,-1,958695,-1,603559,198775,-1,-1,-1,-1,-1,651406,-1,283917,539968,-1,-1,661645,963275,429123,803576,78211,849422,97796,397055,-1,844189,898605,-1,110425,510026,419700,423668,-1,356546,-1,-1,934715,48373,-1,294711,-1,-1,978413,616469,622022,-1,873732,941481,234451,992655,411283,479529,-1,471453,-1,-1,-1,828259,43287,3098,-1,-1,-1,435767,-1,-1,569160,256528,765356,-1,81395,-1,-1,859775,614101,-1,-1,-1,-1,-1,949067,-1,-1,327251,85110,-1,974006,-1,106380,312431,31526,847358,435534,-1,-1,-1,363540,-1,651180,714223,474818,-1,-1,-1,476503,322805,664733,-1,-1,10882,-1,-1,-1,84860,-1,-1,577951,799959,-1,872016,-1,-1,678644,664539,-1,980809,-1,-1,-1,-1,-1,743566,-1,69285,-1,-1,39563,26637,-1,-1,619802,246300,-1,-1,568933,-1,-1,-1,-1,797842,947735,-1,674326,-1,-1,-1,835678,229996,700831,-1,222416,606388,98762,130580,-1,659776,710870,116807,-1,-1,-1,-1,352595,418468,160196,-1,-1,-1,559602,-1,6062,430717,186698,-1,-1,-1,961106,-1,-1,-1,-1,-1,-1,-1,397284,207270,836085,-1,-1,272192,-1,980557,249961,822988,-1,30008,944467,-1,-1,682637,-1,-1,109444,-1,575159,333689,474222,805908,-1,-1,-1,-1,-1,752364,-1,-1,775173,-1,65078,-1,-1,-1,21039,347070,-1,146859,-1,378079,-1,832661,-1,432594,-1,710594,-1,62777,-1,-1,834968,-1,-1,965229,316846,-1,196778,-1,876490,831489,-1,-1,-1,159105,299329,766808,244391,151914,-1,-1,-1,-1,807868,670557,-1,-1,-1,965564,-1,893915,-1,482162,-1,-1,921322,483230,-1,956307,392863,-1,-1,-1,-1,315239,715465,302521,229979,253499,203444,-1,-1,-1,-1,630312,14887,560536,-1,-1,-1,358229,813573,838466,-1,505106,487908,555954,754980,547046,340124,868472,-1,-1,-1,994437,-1,719128,957720,605757,510194,895321,-1,-1,-1,250954,-1,-1,24218,8787,-1,673054,-1,136662,-1,381377,-1,-1,-1,-1,-1,-1,538618,689533,882616,-1,-1,453589,483089,-1,-1,409154,630516,-1,876940,107891,-1,-1,-1,-1,817865,-1,-1,-1,-1,420297,-1,-1,-1,564732,-1,-1,-1,-1,185624,-1,-1,-1,173203,-1,317694,-1,-1,-1,-1,712726,-1,171099,67254,414074,-1,-1,963695,-1,925122,-1,1929,536906,-1,143576,526115,509133,900484,-1,682069,125551,423366,-1,563766,693932,-1,-1,552801,979832,-1,-1,-1,-1,993526,-1,942599,-1,-1,901694,239819,-1,469251,445791,-1,609129,-1,921405,-1,-1,-1,-1,70288,-1,-1,232628,-1,533397,642502,-1,576827,612070,-1,84589,665936,-1,841755,232669,-1,-1,868184,-1,-1,678907,154838,293240,560904,412377,-1,-1,-1,-1,-1,637594,708816,-1,-1,297128,371233,274265,715096,582628,437566,-1,-1,-1,-1,481033,-1,-1,-1,875819,-1,879464,549588,-1,733422,-1,-1,157625,-1,-1,-1,652871,-1,-1,-1,-1,67169,591908,-1,-1,-1,715743,794027,-1,981223,741723,-1,-1,279963,-1,715962,-1,90620,-1,-1,-1,-1,864328,-1,253191,644691,-1,480057,395745,292804,18195,213206,-1,-1,705446,277158,127883,-1,441683,-1,-1,-1,955074,272441,-1,178946,978679,118331,335464,-1,-1,664818,-1,49860,-1,838727,-1,-1,-1,-1,403022,681279,-1,-1,-1,332280,-1,792625,-1,212271,-1,-1,-1,-1,238663,-1,67301,926010,-1,-1,-1,997697,105903,-1,-1,505597,955987,-1,-1,-1,-1,724927,353147,-1,-1,79938,-1,-1,-1,847379,-1,499167,246055,668690,774071,376006,365953,-1,-1,-1,404270,868306,369023,406962,742727,-1,557252,-1,499849,427486,596879,975613,-1,-1,283449,603126,593308,-1,43657,-1,-1,-1,-1,-1,70675,756133,138269,287063,62315,-1,-1,-1,-1,-1,-1,-1,-1,448573,843018,-1,-1,424727,5987,585756,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,346830,383359,956772,-1,-1,-1,-1,-1,460578,-1,-1,774100,-1,-1,633867,908889,-1,504594,679816,-1,999537,144204,-1,-1,795746,-1,494508,161907,-1,-1,535873,-1,216792,-1,-1,696001,-1,908405,-1,-1,4937,-1,-1,-1,361716,564939,-1,-1,773062,330341,869492,359860,28699,-1,451049,-1,-1,982504,-1,701872,-1,430214,499650,-1,516057,-1,550581,746316,850019,52537,-1,538277,787912,232616,721085,-1,-1,-1,743818,60176,351375,295297,-1,-1,674723,-1,871347,146934,9132,337766,412063,432236,-1,-1,-1,578185,178397,-1,-1,-1,-1,-1,974280,40071,600565,-1,-1,565469,625619,-1,-1,-1,-1,-1,-1,27762,-1,612489,895781,-1,-1,918409,-1,232717,712189,-1,-1,-1,-1,-1,-1,-1,374903,352984,269449,-1,-1,495290,759706,-1,488235,-1,-1,421174,-1,-1,38969,-1,-1,358457,-1,122091,-1,697777,271576,538874,735940,675017,-1,947389,991736,254026,-1,447833,-1,148855,-1,-1,304977,406973,-1,-1,-1,-1,704819,-1,-1,84918,871891,363500,269879,-1,-1,-1,183558,-1,432526,-1,60192,-1,-1,155382,-1,448747,988970,-1,-1,-1,-1,-1,-1,257902,-1,-1,-1,908043,858158,-1,452471,-1,-1,183938,-1,-1,103126,446793,-1,599171,851554,121147,807425,-1,964324,-1,863385,241171,923825,887425,968127,-1,-1,-1,98521,-1,-1,903152,-1,674006,40133,-1,900987,414320,859141,-1,-1,603070,-1,-1,-1,-1,196304,981315,394542,-1,-1,-1,298410,983148,-1,164364,-1,99866,708182,-1,-1,562340,301070,992489,-1,-1,425811,335069,136473,264264,569615,474461,-1,-1,-1,-1,525384,773174,-1,-1,218078,-1,650797,602751,901069,-1,-1,537366,528085,-1,94780,-1,300176,-1,-1,-1,730718,660497,203694,495870,-1,637750,60608,-1,295533,-1,858545,-1,-1,79706,-1,-1,-1,-1,700064,420807,611001,-1,235468,581943,-1,982985,-1,-1,-1,471523,-1,872144,-1,193899,-1,-1,701468,-1,391352,-1,746605,72213,-1,340157,-1,880598,970159,-1,-1,-1,260030,-1,988971,230217,-1,766016,165054,-1,-1,771197,-1,387883,107388,-1,-1,-1,358117,838613,653871,479339,913606,-1,-1,-1,-1,-1,402288,304971,-1,336149,-1,-1,-1,306002,693402,-1,421791,-1,183614,-1,-1,-1,673077,-1,-1,411691,471746,-1,659823,360812,929150,785737,-1,547201,-1,219001,33738,429521,-1,-1,220347,423928,984571,-1,198932,-1,-1,61811,-1,677845,544552,364293,-1,927638,-1,-1,-1,-1,-1,127542,923632,657523,-1,-1,-1,-1,121633,581457,-1,-1,-1,-1,332456,321750,970984,63492,-1,-1,-1,-1,47218,-1,-1,-1,793156,623787,266856,629495,962,720366,998434,-1,639308,121177,807829,-1,366755,-1,311747,-1,-1,-1,101627,-1,-1,347193,682241,178211,-1,-1,-1,784036,133002,155784,-1,262070,-1,-1,246741,854228,599616,-1,229035,-1,893563,-1,397890,528382,40376,961447,490077,239005,566409,-1,-1,826038,237449,-1,-1,-1,130806,819411,498351,276830,341418,436836,945523,-1,-1,-1,867330,769594,655931,-1,302507,566868,561245,-1,-1,-1,529601,-1,550109,-1,28629,294392,-1,313577,724291,528541,705783,782049,-1,-1,127499,188603,-1,-1,-1,-1,995160,-1,959555,-1,657218,-1,619542,271630,-1,956432,-1,641157,44559,-1,557726,-1,45143,869301,387939,839955,-1,600078,-1,365229,141209,-1,-1,-1,525276,909915,-1,175713,753426,-1,-1,829632,677999,-1,143490,-1,13955,872902,132632,-1,302989,142966,709405,843748,475781,491106,399577,-1,761347,576525,845816,-1,-1,898437,515119,390084,-1,-1,-1,-1,132117,-1,-1,-1,541612,-1,-1,98839,-1,285776,-1,763668,764127,343111,-1,-1,-1,827532,709377,589754,911578,740257,579795,-1,533862,-1,-1,-1,-1,476640,-1,231112,248053,-1,-1,886714,-1,-1,445794,315852,426674,-1,378294,-1,840495,-1,-1,441889,105851,-1,-1,-1,665143,312268,574508,746743,204414,-1,12448,-1,841874,-1,528321,-1,26712,915341,-1,692584,401117,-1,584594,445946,-1,855883,-1,209322,-1,457787,-1,457673,975627,131782,787553,40078,645252,-1,503642,978318,148004,-1,-1,233847,-1,-1,411320,629425,334634,882994,809911,118729,189491,-1,640740,57753,226084,-1,742324,-1,-1,441150,7002,572489,721351,848172,15489,-1,-1,874798,390504,-1,-1,418657,221519,276094,702078,-1,-1,-1,-1,-1,-1,678513,-1,-1,-1,212903,-1,249429,-1,670305,984668,869370,-1,904773,940595,443167,-1,845929,-1,324631,-1,-1,492171,186515,729442,869187,-1,971658,-1,-1,-1,454656,-1,671914,672315,129885,800181,-1,868698,-1,530327,-1,-1,639314,791186,-1,286656,-1,-1,479899,-1,528769,-1,-1,947955,534843,426907,102180,-1,-1,910003,769955,204964,-1,181771,-1,-1,81271,225796,-1,246802,-1,515242,49978,591194,919646,204639,497957,443446,975318,-1,-1,-1,-1,748221,173077,724344,-1,582807,213850,819128,-1,158584,-1,268276,-1,856465,-1,-1,480653,-1,-1,704168,486473,-1,12463,-1,160792,-1,-1,-1,-1,35383,-1,-1,-1,371835,-1,4690,699102,-1,163699,790329,-1,497183,8290,-1,-1,342623,220927,-1,-1,805975,-1,821111,-1,759539,-1,-1,-1,-1,-1,427985,-1,-1,-1,874761,401387,-1,-1,434502,238844,857442,385722,346835,765416,-1,-1,-1,198731,-1,655997,269271,-1,546400,-1,944902,-1,-1,322556,119682,-1,251413,103988,795686,-1,-1,865135,738696,-1,587352,-1,179668,451622,-1,-1,502619,-1,672666,-1,-1,-1,646182,-1,40436,-1,-1,622566,-1,-1,536707,-1,-1,507847,-1,708263,-1,488966,-1,-1,300664,725603,-1,887505,450684,-1,-1,-1,584162,-1,-1,563784,-1,966149,-1,-1,154340,109441,-1,669225,340096,8184,-1,-1,-1,-1,-1,-1,607171,-1,-1,397994,-1,-1,-1,721995,150385,977924,277947,280072,-1,636162,-1,-1,504721,428797,-1,854616,291335,108734,-1,-1,772683,571648,-1,-1,-1,760468,182831,235077,848922,-1,661115,-1,-1,565522,-1,-1,10074,156497,460212,-1,-1,-1,-1,-1,733722,-1,140442,-1,760771,924043,-1,472818,920961,775215,662983,-1,-1,189810,394720,800326,-1,411101,-1,-1,703197,348131,683766,477271,839664,315896,-1,-1,817559,-1,-1,258021,891896,-1,-1,707905,-1,339824,47755,962012,-1,-1,603515,-1,-1,-1,256299,-1,-1,855226,-1,49454,-1,-1,858865,-1,-1,81342,-1,806466,699734,-1,801247,965249,-1,-1,-1,626595,784466,-1,-1,554310,924358,321141,265270,70176,3915,90837,315924,-1,203525,942621,178056,-1,-1,420426,626311,-1,-1,-1,-1,-1,-1,-1,-1,84934,908293,882551,152928,-1,747173,218892,-1,578176,236999,24289,724513,-1,-1,-1,-1,881265,-1,-1,-1,-1,-1,-1,13693,338943,-1,527428,-1,370857,857856,-1,28068,-1,-1,-1,-1,-1,701521,-1,182424,-1,732128,-1,-1,-1,-1,-1,557314,-1,798059,827428,129690,532752,521359,-1,-1,173584,-1,606822,620905,708051,380059,-1,-1,725488,705711,-1,443290,-1,-1,11396,574278,850529,-1,482333,-1,-1,964487,-1,786029,-1,469288,735293,-1,-1,-1,225332,585150,-1,625973,-1,892396,-1,162930,706982,285228,813423,968879,757758,326783,-1,-1,-1,-1,-1,-1,370,844410,-1,194761,610151,958511,-1,601863,-1,256672,288378,135210,319853,75622,628936,604026,474939,705526,63159,-1,192284,-1,294814,-1,421716,-1,623155,-1,168491,-1,78485,316075,96037,640483,-1,57362,-1,610211,603009,-1,-1,508204,-1,649111,-1,87065,-1,372756,520396,676557,113267,469822,612855,-1,231260,-1,-1,549931,-1,864663,909528,-1,-1,-1,-1,-1,-1,-1,-1,867664,-1,-1,-1,303811,-1,463088,857056,10571,851906,-1,-1,-1,-1,-1,449265,490195,192048,299420,-1,-1,-1,733221,135598,-1,186911,5759,541287,415487,-1,431806,-1,594295,202455,866937,-1,126807,-1,940105,-1,642878,95234,-1,-1,207056,29095,971258,-1,-1,-1,211309,736520,-1,647856,224144,-1,-1,395445,98449,-1,-1,-1,-1,983636,-1,546506,195925,980725,-1,776647,692270,804673,47448,856244,-1,306849,194830,435471,-1,-1,937177,690878,-1,584961,-1,897553,-1,-1,202114,798269,426732,69470,661668,-1,391693,581744,466372,-1,319850,152662,778422,997358,-1,786186,-1,213367,994626,-1,312678,-1,344054,-1,-1,374130,170019,619309,-1,784948,106797,274633,-1,-1,287171,-1,100883,31848,572701,728800,474369,938146,-1,371403,140848,-1,-1,244660,-1,350644,-1,865015,-1,478089,534189,-1,-1,971294,-1,-1,852734,305664,965414,-1,945655,672941,988932,-1,829993,965487,202842,173265,715986,-1,386501,585711,193304,-1,133686,986634,896822,122259,82306,251180,500227,521642,721394,813576,595637,-1,5736,21031,-1,-1,-1,-1,653007,767894,213822,-1,-1,-1,-1,785089,838128,-1,-1,421270,-1,-1,535300,-1,158050,978042,50732,212938,853049,373616,987717,41249,-1,-1,772014,292985,-1,623812,-1,193101,166258,-1,-1,725659,239016,610074,207424,-1,209840,-1,-1,-1,19125,526945,-1,695474,108929,-1,-1,858907,868383,-1,-1,-1,-1,-1,915834,771924,140523,920550,550187,21683,-1,-1,318231,59038,442229,-1,1923,-1,-1,-1,219263,237569,-1,324632,-1,992657,-1,-1,-1,681116,-1,-1,-1,-1,-1,950889,-1,68287,345242,-1,-1,-1,198656,-1,-1,-1,902965,655404,600732,-1,-1,422437,632217,-1,-1,-1,332143,794574,794081,219068,-1,817201,-1,633362,-1,825399,-1,-1,-1,-1,-1,597000,-1,225764,-1,476944,-1,426819,-1,326650,324685,-1,-1,-1,-1,-1,-1,600874,-1,379557,-1,-1,480394,-1,-1,-1,542989,-1,509662,403896,-1,179794,-1,-1,-1,846820,32655,-1,745872,631239,-1,369121,-1,-1,478289,-1,208248,864351,-1,599252,-1,-1,-1,279276,-1,854714,-1,63549,-1,-1,779148,880186,219588,-1,978333,799186,-1,278377,-1,-1,901597,256961,-1,-1,-1,-1,192117,522649,-1,267325,23645,101025,-1,-1,-1,890312,705454,628526,473518,371138,888440,-1,-1,462324,331912,636888,-1,206333,431897,260653,671102,840869,202713,765781,-1,-1,162495,596627,-1,454482,-1,-1,-1,-1,834160,701395,-1,206042,-1,-1,466864,928540,-1,-1,-1,643864,-1,-1,550326,-1,159460,-1,-1,-1,794716,658185,-1,560442,926485,-1,-1,75763,510603,-1,480458,805485,993410,-1,-1,2797,-1,-1,458183,578384,-1,186311,924103,783664,-1,605448,552735,337459,804613,-1,256193,495504,228539,-1,-1,560707,514016,919819,-1,-1,234186,-1,309293,609941,443519,894989,-1,-1,945673,-1,365446,-1,988119,-1,591771,545549,-1,474017,970862,633332,984597,-1,773606,10454,659180,773133,33944,-1,-1,533850,232831,-1,-1,-1,816910,269198,-1,-1,655369,567626,-1,-1,223257,489937,714311,-1,-1,-1,-1,-1,-1,-1,637635,-1,993521,214140,-1,-1,113460,104026,-1,-1,-1,-1,-1,-1,425960,292596,981957,783861,791754,465853,88433,-1,-1,625137,-1,-1,-1,382212,612397,-1,334345,-1,336540,276568,-1,144832,-1,-1,-1,970579,-1,802414,-1,-1,884218,699021,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,788462,-1,456286,595724,674662,474730,-1,796843,-1,-1,708268,769016,-1,332418,-1,-1,-1,-1,169739,-1,917751,459600,-1,-1,-1,-1,-1,-1,-1,-1,692175,-1,121772,-1,240012,953374,-1,168295,-1,362492,422066,-1,-1,-1,-1,-1,-1,-1,849645,235536,54331,-1,-1,330097,979586,-1,990795,-1,-1,577833,338462,-1,743525,-1,301018,451268,-1,749442,-1,-1,-1,457965,-1,723807,-1,984312,-1,245742,438851,67564,-1,339721,-1,837086,-1,-1,452714,-1,-1,383731,-1,-1,898122,456927,-1,64006,-1,842155,316237,-1,-1,-1,318062,-1,313670,578327,-1,538699,6564,-1,-1,306512,-1,995481,632098,916277,988640,110488,-1,717288,221072,-1,-1,-1,80844,863970,141810,-1,896828,961016,655315,573238,-1,-1,-1,302251,-1,-1,-1,777658,823735,-1,-1,-1,897836,437236,338956,-1,-1,355582,-1,-1,403178,-1,382508,-1,185955,411502,197064,979864,811483,905275,-1,126470,-1,-1,892903,192439,-1,500025,-1,-1,-1,550410,-1,-1,-1,-1,-1,-1,467695,40467,278796,334764,-1,-1,983108,437768,314808,-1,896288,930802,511474,-1,-1,98347,888594,-1,594797,354256,-1,-1,-1,299101,-1,-1,-1,-1,687840,872877,437991,-1,-1,-1,-1,-1,-1,-1,912819,-1,-1,886165,-1,-1,-1,387506,817796,324612,271090,673344,848336,4202,-1,499601,891281,404313,722038,-1,312313,-1,-1,206059,215033,-1,907101,362290,-1,885102,-1,-1,-1,-1,408577,-1,-1,-1,982386,-1,-1,-1,-1,-1,106482,828114,197089,-1,-1,-1,683601,-1,760363,-1,-1,845515,-1,33802,-1,515088,212377,-1,918631,-1,968881,235990,189525,-1,-1,-1,-1,-1,604165,-1,930833,-1,435786,805066,-1,528269,-1,916704,-1,-1,450270,293490,717313,-1,-1,-1,741512,882874,-1,728571,-1,-1,-1,-1,-1,-1,583248,710401,359724,-1,-1,-1,580523,-1,80679,754919,519420,-1,247369,-1,205680,112505,-1,-1,826882,-1,-1,-1,-1,144163,151285,-1,556679,-1,-1,-1,903427,-1,-1,236025,348031,978615,-1,99605,106692,-1,146445,-1,-1,26323,33928,542504,75222,-1,959632,-1,109008,-1,-1,715891,940322,-1,-1,-1,412839,-1,441103,529198,-1,269333,-1,555171,-1,-1,-1,848921,589160,559177,823681,39176,-1,-1,466796,267820,-1,-1,486312,-1,-1,854694,-1,277300,-1,981951,-1,660277,390125,685031,-1,868523,-1,-1,11193,112512,-1,826386,52330,591930,-1,611831,361353,-1,-1,-1,904698,-1,175134,870231,875256,640441,-1,138524,-1,-1,280287,900974,529202,-1,938773,-1,-1,887542,19560,72076,-1,892726,714064,195864,91365,474984,-1,-1,677447,636852,-1,86709,392690,852080,219867,-1,-1,-1,232404,-1,-1,-1,-1,-1,-1,97700,518794,927640,542639,100947,77839,735761,-1,598985,-1,664367,-1,464617,-1,797337,-1,-1,835545,560857,-1,243667,-1,-1,184409,363187,74345,469522,204591,-1,-1,-1,-1,682306,-1,890335,625364,-1,690239,61639,748495,-1,-1,666801,-1,595328,419491,491252,-1,77063,590696,-1,-1,-1,-1,-1,116365,676111,-1,617711,-1,-1,-1,987419,-1,883073,-1,-1,933048,611182,-1,-1,-1,-1,-1,-1,346797,970238,-1,683799,705145,-1,-1,-1,381154,387243,951061,-1,-1,933779,876776,391890,888253,328662,-1,705944,-1,-1,263035,572027,-1,-1,268216,-1,938564,355179,818036,-1,609854,-1,716286,-1,995617,307414,313735,772691,355540,-1,808176,312720,-1,396629,-1,-1,825024,612864,614485,542528,291138,-1,41424,412137,547122,-1,-1,371251,309252,-1,-1,388910,338929,-1,221834,-1,18199,473215,-1,760478,-1,-1,131921,169328,882125,-1,-1,-1,839028,596031,-1,704401,-1,26914,-1,598434,764463,814130,159697,-1,742072,-1,756269,930818,-1,574688,-1,-1,945496,-1,133988,785653,840682,-1,218817,-1,546379,160090,-1,-1,85137,964696,-1,-1,-1,306439,-1,-1,-1,-1,-1,-1,-1,-1,905329,236893,860860,948098,607175,400323,569781,-1,-1,-1,-1,381704,992214,-1,-1,379169,-1,460898,-1,2118,-1,677993,-1,163168,-1,589167,-1,825623,999563,-1,-1,430719,766651,197888,-1,313366,610098,564028,212110,38230,-1,-1,-1,-1,-1,-1,490169,-1,-1,-1,-1,147960,705308,979361,-1,568776,647165,787572,494628,506949,-1,55304,-1,573876,790707,998244,83764,-1,693532,-1,889642,-1,569538,-1,-1,-1,595364,193284,-1,54110,853220,639033,-1,-1,-1,-1,431553,-1,-1,345123,-1,407291,-1,657325,357743,20615,607218,-1,-1,-1,-1,-1,-1,697422,568227,-1,-1,784791,-1,691026,611344,678635,505164,-1,540427,173337,484735,-1,-1,408451,-1,297328,225742,847760,788732,-1,-1,-1,784929,-1,746309,233602,-1,157841,319233,280959,445830,-1,-1,645668,578116,-1,-1,509895,-1,-1,49045,-1,182698,-1,226582,-1,734109,726526,212410,165693,732970,-1,319646,-1,-1,-1,-1,-1,391202,-1,556071,383089,186969,-1,334049,609600,36339,-1,-1,-1,-1,109002,-1,117295,170086,-1,969700,607426,-1,-1,-1,-1,17561,415373,69860,628878,737180,821143,-1,-1,262635,-1,19628,629559,174981,-1,-1,-1,13915,-1,43066,-1,-1,-1,856035,-1,-1,119779,653957,321793,37390,-1,828195,-1,757493,-1,915972,762102,148808,-1,-1,-1,781477,-1,520111,872830,676971,-1,710907,-1,920562,186880,-1,342658,-1,619644,342304,458266,-1,130142,384324,-1,-1,-1,-1,708254,251175,149075,889860,-1,324242,409447,284729,845079,-1,513543,-1,-1,656409,-1,219455,719753,-1,774426,-1,-1,-1,825795,732980,-1,508031,115700,-1,-1,261516,-1,-1,96153,-1,477409,647132,-1,-1,-1,472331,-1,955477,920290,-1,809685,-1,-1,142600,146490,403510,-1,307829,-1,-1,-1,-1,-1,19995,-1,-1,-1,-1,-1,756564,-1,-1,-1,435323,-1,-1,780468,-1,-1,-1,-1,-1,640831,587569,612444,-1,-1,848926,-1,646617,629385,-1,-1,-1,567811,-1,-1,-1,438325,-1,773270,153040,656115,42518,208267,-1,-1,877360,-1,360823,291054,714450,750472,495033,-1,709725,-1,-1,-1,313739,-1,251749,-1,720811,-1,149441,622439,367880,345587,-1,-1,320137,-1,204149,862708,475426,-1,449701,-1,662049,759597,289018,337564,80281,93628,811158,-1,724120,-1,-1,541547,363840,-1,-1,210741,27776,-1,-1,-1,-1,-1,-1,-1,631075,-1,878622,402375,137853,-1,80695,-1,855602,298638,-1,438784,-1,-1,-1,-1,-1,-1,-1,786015,-1,-1,745210,360360,946929,665914,-1,995015,394890,-1,671344,473031,771524,450882,-1,824964,414090,174778,596748,-1,-1,-1,772689,500638,-1,-1,-1,-1,-1,-1,444358,993519,-1,-1,-1,-1,245971,447811,-1,766732,449214,658652,479715,-1,342315,-1,-1,251424,-1,778081,918850,-1,499416,17365,-1,-1,-1,-1,-1,401315,269778,454698,-1,-1,208025,539903,-1,-1,-1,401848,-1,-1,-1,164473,448885,-1,765596,405256,117326,-1,-1,570992,846735,249873,-1,-1,302230,279718,548771,-1,-1,-1,-1,-1,-1,-1,3781,-1,-1,767829,-1,-1,-1,604074,-1,890796,-1,-1,-1,-1,-1,-1,851856,-1,-1,-1,57233,-1,646246,-1,926875,-1,-1,-1,167059,-1,720773,366147,-1,-1,-1,738993,-1,-1,658766,-1,412882,-1,960513,102107,-1,21124,791377,-1,808037,-1,880748,-1,-1,440383,-1,98221,-1,-1,430292,88002,-1,-1,416314,-1,-1,994406,906659,-1,311575,-1,854817,788762,762222,-1,-1,-1,-1,577423,275360,430178,272728,382466,-1,-1,-1,854824,-1,80338,-1,-1,-1,-1,196597,82827,-1,179899,150341,-1,-1,-1,-1,667983,-1,750438,287752,-1,-1,856848,-1,435077,417362,-1,-1,-1,347912,514387,-1,197319,825439,254597,-1,246284,702829,860979,434608,-1,695172,-1,-1,-1,154674,-1,544554,-1,-1,-1,-1,446652,860962,386018,469589,253878,683588,414313,950928,705066,-1,-1,963711,-1,-1,592219,844417,220396,-1,929644,-1,640894,-1,-1,-1,-1,504808,544841,-1,-1,-1,-1,-1,-1,589484,893747,866190,-1,-1,-1,-1,-1,-1,924016,-1,-1,990266,556619,-1,-1,-1,935564,-1,-1,-1,954473,26828,550107,-1,722925,585629,431738,-1,-1,-1,716567,-1,-1,472106,421208,962413,-1,556920,49131,455634,75734,909852,-1,-1,-1,-1,889836,720222,-1,-1,683310,-1,-1,-1,780899,-1,-1,-1,594777,745877,317783,126228,779758,684074,-1,114262,6554,670206,-1,191051,151703,854827,179093,-1,-1,800455,-1,-1,-1,-1,-1,135104,942548,-1,980480,849308,-1,121502,34296,-1,-1,-1,-1,-1,-1,275354,-1,621309,-1,200360,723139,-1,374883,317221,-1,-1,-1,-1,587913,-1,-1,-1,-1,169315,-1,30429,-1,158016,-1,286844,487575,-1,176911,47048,-1,566630,-1,-1,-1,-1,792655,326909,662478,-1,-1,-1,781762,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,4343,-1,-1,533439,-1,-1,-1,-1,-1,641678,-1,503871,108001,-1,115295,414961,-1,966141,-1,-1,532345,-1,-1,20140,-1,-1,-1,395197,369540,-1,-1,-1,-1,579500,479102,-1,-1,254226,441246,991629,-1,958601,-1,-1,-1,616678,-1,-1,-1,-1,-1,391936,606885,214145,501862,-1,-1,-1,188045,-1,-1,675387,-1,238622,-1,351110,97871,803156,-1,-1,576583,207639,515071,-1,133977,-1,467731,944932,-1,599759,450173,-1,457984,60247,48993,990100,-1,647119,261686,518853,13910,499253,-1,932943,-1,-1,-1,165767,-1,830891,-1,424205,-1,-1,-1,343357,525739,296834,-1,-1,-1,-1,724570,-1,649508,259238,967397,-1,-1,314914,734854,-1,891266,980930,-1,-1,90722,-1,266613,-1,-1,-1,940004,483022,730508,-1,793353,-1,211466,-1,422326,-1,827177,101410,935449,-1,-1,-1,699709,251372,342913,800898,339027,-1,-1,-1,329762,-1,429344,478665,189008,739445,-1,-1,-1,206918,430337,-1,-1,-1,-1,765588,872296,-1,-1,-1,-1,-1,799206,721537,202517,460923,710886,-1,-1,790159,-1,482161,-1,72481,525576,-1,852257,-1,-1,-1,339282,190872,-1,888518,-1,-1,657184,566449,192927,-1,676626,653442,171738,-1,-1,-1,930868,842856,-1,-1,-1,-1,481628,875522,-1,-1,21254,-1,-1,428375,738548,378813,353754,362868,-1,104297,867096,24956,-1,-1,-1,-1,746683,636080,324577,406857,-1,259180,733665,356283,-1,298012,263169,11585,276732,-1,237733,320466,189862,-1,-1,487600,492941,69708,-1,-1,483807,-1,-1,-1,-1,243778,-1,-1,-1,138011,-1,919520,208685,-1,823914,430199,24135,-1,-1,-1,992410,904334,645759,-1,465080,-1,862907,-1,273336,-1,-1,833620,-1,156199,192016,-1,982103,947437,841163,236902,237670,749532,-1,774732,689363,-1,-1,299787,-1,-1,-1,739322,-1,-1,942098,851508,678587,-1,246286,157340,-1,-1,632518,656971,-1,-1,-1,150791,-1,-1,-1,248221,133467,-1,519098,-1,-1,-1,-1,-1,257551,-1,-1,943267,887989,204662,90260,-1,482070,405909,-1,-1,-1,-1,313867,810640,331153,85220,126699,680310,-1,-1,-1,-1,492484,538364,-1,-1,371776,-1,189577,-1,143147,507515,-1,-1,-1,-1,-1,526689,-1,-1,-1,-1,-1,335296,-1,-1,877195,-1,327029,656446,784527,342084,469809,-1,-1,-1,703349,-1,-1,531045,-1,-1,151889,824980,756808,862311,-1,-1,814086,44743,851461,-1,471723,-1,218547,485389,-1,182784,525532,511302,-1,65831,-1,-1,275324,-1,-1,-1,679901,-1,-1,-1,-1,-1,416374,-1,-1,25352,-1,765986,-1,283135,525884,721662,-1,829053,548993,474824,-1,-1,546775,659973,-1,825232,-1,302725,-1,704218,23094,531288,-1,743202,759267,547630,-1,22491,948593,531365,371060,92902,-1,-1,571548,234208,799867,-1,253796,-1,193675,759823,-1,951893,149679,-1,-1,825248,-1,-1,-1,-1,588570,-1,377148,535062,-1,338384,-1,-1,-1,434710,-1,-1,259005,730992,221862,-1,271613,-1,83593,405800,-1,-1,-1,-1,455960,-1,209795,857288,-1,-1,619365,289247,-1,-1,805155,342031,237132,-1,536819,-1,496107,660160,-1,-1,3243,960919,-1,-1,371626,822659,609366,-1,-1,-1,-1,-1,-1,258599,-1,183026,-1,354092,-1,611324,514963,594858,-1,-1,808109,-1,627245,901863,-1,-1,-1,319460,-1,-1,936284,536121,-1,-1,-1,835739,393681,-1,487961,639594,40907,-1,248496,-1,-1,507800,955389,868064,-1,196858,-1,286252,-1,-1,800206,-1,917077,-1,326820,391254,505901,-1,731486,-1,-1,-1,932716,206794,362280,862002,-1,-1,-1,-1,454667,-1,-1,-1,449651,567136,90404,463519,202287,750480,-1,304167,529729,925884,-1,164771,775685,-1,-1,-1,-1,-1,111838,-1,589315,153181,-1,43627,-1,-1,-1,415709,-1,-1,-1,-1,-1,-1,642286,-1,891742,-1,657216,-1,455172,-1,254575,-1,74415,549914,-1,-1,397018,-1,-1,-1,536551,-1,868461,-1,-1,347478,687049,122587,-1,-1,531678,173771,840038,125134,-1,-1,-1,-1,425483,-1,376481,-1,-1,-1,135370,986117,-1,-1,-1,-1,-1,-1,-1,924530,-1,-1,-1,4973,-1,-1,234837,-1,92262,-1,717579,704789,-1,913195,701187,563819,-1,930310,-1,757570,893786,-1,586478,-1,-1,-1,-1,299896,900856,229681,-1,791606,738316,-1,-1,-1,725479,-1,730817,-1,-1,443758,887647,-1,-1,-1,-1,-1,-1,-1,-1,835793,-1,246722,-1,-1,790270,890935,512424,360392,452509,-1,566084,-1,657818,956498,-1,468974,-1,375715,-1,-1,611800,329441,-1,-1,395089,-1,-1,849975,887644,-1,-1,651883,-1,864637,153781,-1,179984,123905,-1,-1,-1,-1,-1,-1,-1,-1,859682,244361,121853,314169,890424,-1,-1,260094,627099,-1,701423,308608,32656,-1,540239,-1,-1,-1,713926,-1,-1,-1,127918,-1,594894,978209,-1,692562,-1,903234,752452,-1,236514,-1,624168,551880,868739,442914,101708,768092,-1,922295,111070,-1,-1,-1,-1,533625,908028,913917,533535,814970,726032,353672,867997,862444,312643,-1,725682,-1,-1,353486,-1,308374,508007,-1,-1,449821,-1,-1,-1,-1,-1,-1,84384,-1,-1,-1,278380,462759,520045,-1,380704,388622,565212,-1,-1,-1,-1,547925,62202,574267,578438,-1,840000,930196,341875,-1,664200,443598,971475,-1,-1,-1,-1,164567,-1,-1,-1,55237,962415,-1,880710,578378,889754,795737,997723,178457,-1,-1,-1,-1,-1,-1,983415,396413,859009,272196,291657,128110,-1,29700,-1,357511,508906,-1,-1,-1,420418,-1,220729,266204,-1,-1,553823,351578,263876,-1,935990,257504,443200,-1,457196,31502,623552,333729,151562,339933,-1,-1,508073,-1,274447,-1,-1,709439,257857,-1,-1,27692,862220,692650,-1,59146,121303,-1,-1,47553,-1,735207,-1,913263,543534,731069,-1,620147,532899,-1,597584,168126,21642,335241,552491,-1,844613,-1,-1,-1,770527,-1,906205,-1,577251,51891,-1,484041,67655,-1,239415,-1,71258,-1,-1,-1,-1,964616,984083,-1,150847,-1,-1,-1,998634,-1,-1,-1,577860,-1,-1,-1,-1,298686,353019,777713,369091,-1,154713,-1,283558,623854,306866,-1,907215,325905,-1,-1,-1,-1,-1,860077,207804,959568,611717,-1,-1,-1,-1,35235,794753,-1,785358,-1,-1,-1,-1,291759,160304,-1,552680,-1,-1,29168,-1,-1,522788,163557,-1,-1,19237,219931,-1,-1,112269,-1,-1,810832,-1,-1,-1,-1,-1,841970,-1,-1,733944,782332,496673,-1,-1,438183,328666,321123,-1,509336,-1,129371,40909,-1,-1,-1,-1,664915,385229,316961,-1,-1,-1,-1,-1,457313,-1,311349,-1,-1,-1,334008,471642,-1,-1,-1,557225,-1,-1,279850,784264,-1,-1,-1,56439,-1,891829,311464,653745,-1,-1,-1,526819,979224,-1,307144,751547,-1,588835,149048,866648,757967,-1,487505,-1,-1,459427,710004,-1,310958,-1,-1,480076,-1,640856,-1,301443,266868,286627,-1,-1,89017,678491,-1,198605,741779,854419,-1,-1,49336,-1,487396,422572,467002,-1,717140,599572,227364,-1,-1,156525,-1,-1,905463,128010,242834,446973,-1,35598,-1,742890,252182,-1,-1,-1,-1,-1,-1,755191,346907,-1,579326,342151,-1,-1,-1,746906,-1,145832,-1,-1,582838,844695,945417,917512,752745,32348,-1,-1,539073,-1,-1,289092,-1,768863,-1,-1,270350,-1,497412,999234,-1,-1,-1,-1,97257,930583,-1,-1,604319,164835,504137,-1,300559,-1,-1,-1,655804,384172,-1,-1,318011,-1,-1,-1,-1,794401,-1,-1,44657,-1,-1,-1,525469,460932,924683,200274,670065,-1,-1,55001,410120,962389,141489,691575,553147,94082,-1,978729,775071,-1,186645,-1,424495,693493,311507,875855,937782,-1,943922,-1,915032,-1,741571,-1,-1,-1,-1,-1,233925,414857,-1,-1,-1,-1,962797,189782,616424,-1,-1,820090,87686,-1,-1,472245,357008,-1,327424,-1,-1,959867,118898,-1,586237,-1,-1,-1,-1,352807,-1,245288,667238,-1,343901,223928,800327,363361,931528,-1,-1,-1,-1,-1,-1,989692,406600,286815,-1,335733,896601,973672,215401,-1,-1,-1,-1,-1,737350,480686,671090,-1,-1,586653,76757,659296,-1,-1,258664,-1,-1,752311,-1,438274,-1,-1,-1,-1,497537,-1,171058,-1,216018,884430,-1,453762,547227,311141,450825,380159,281492,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,555212,-1,401895,596774,758545,-1,-1,-1,-1,-1,814205,783926,-1,-1,-1,493062,624158,-1,-1,17362,-1,-1,-1,393430,509523,-1,843725,-1,297006,22063,289756,36877,548556,985523,-1,434383,-1,-1,25192,-1,739137,-1,-1,454745,440925,-1,-1,823864,-1,-1,-1,763712,-1,932267,-1,-1,-1,329832,200154,473817,228420,630544,-1,745504,432708,-1,-1,380449,-1,245134,-1,-1,-1,286580,397474,394792,-1,-1,48014,697475,-1,-1,-1,243304,-1,957550,720874,-1,-1,-1,740408,-1,207202,25035,-1,185313,682641,-1,135634,61677,-1,975535,-1,658323,-1,365121,14239,-1,-1,-1,196283,749601,-1,534761,-1,115366,-1,-1,525142,225261,289280,-1,-1,329121,462414,-1,-1,598787,447308,-1,-1,-1,478191,-1,-1,-1,-1,-1,995071,664593,663043,95024,30304,-1,-1,79503,-1,506608,104947,-1,720845,85538,-1,-1,-1,-1,-1,495913,-1,-1,678225,271308,855291,-1,-1,503683,234789,312256,-1,-1,-1,281585,-1,-1,-1,402859,-1,862883,-1,-1,973725,490557,-1,-1,279639,131020,496716,888795,609499,-1,-1,417851,696531,685212,-1,-1,681606,980204,-1,-1,822864,972430,968871,488410,27293,-1,59321,395324,420444,-1,711563,-1,944495,-1,72501,-1,902017,390691,767653,-1,-1,218536,-1,281486,605926,114154,900518,109662,-1,-1,-1,-1,-1,862728,-1,-1,407822,-1,925414,-1,-1,-1,-1,418378,861290,-1,251655,33329,-1,-1,554894,-1,57096,-1,-1,324429,750573,-1,-1,492339,125139,-1,718919,-1,-1,857322,424611,-1,831541,-1,114234,-1,-1,-1,-1,662315,409321,-1,-1,-1,-1,-1,-1,-1,328964,-1,542228,-1,408407,838208,-1,194544,-1,-1,-1,319070,598530,-1,253205,-1,622178,-1,365210,226980,604097,-1,-1,478702,-1,-1,626769,-1,-1,-1,-1,-1,-1,-1,481787,-1,771339,655701,677579,-1,-1,140254,-1,-1,363949,642914,-1,-1,157640,-1,-1,-1,379166,703164,-1,-1,318625,958704,-1,552534,965409,-1,-1,615771,598133,19120,-1,-1,-1,425819,-1,137999,649956,195088,-1,-1,493805,-1,-1,-1,97409,131743,783256,157914,-1,812505,-1,-1,-1,-1,951191,665225,-1,-1,-1,-1,-1,-1,212481,365488,709325,827374,425002,886007,786846,-1,-1,-1,-1,-1,-1,-1,987938,-1,920789,65584,88391,759249,-1,470807,-1,-1,-1,-1,211212,-1,-1,-1,547146,623963,571481,277822,916438,49385,-1,-1,51383,-1,813404,767466,911931,893270,-1,680493,876878,281603,708527,100675,900793,-1,84543,-1,-1,132105,768314,-1,625332,916159,970433,-1,-1,-1,-1,-1,694562,-1,522764,770406,-1,-1,762223,-1,-1,-1,804127,-1,774148,-1,268643,313111,966944,-1,-1,208736,-1,-1,-1,364685,-1,941952,-1,-1,-1,267045,-1,304316,282477,555697,-1,197846,-1,353232,-1,-1,-1,174762,-1,640817,-1,903989,163234,104818,881083,63217,-1,-1,-1,721993,-1,16871,-1,-1,730158,848231,273168,45652,-1,863866,146292,-1,382522,-1,-1,-1,-1,630146,-1,935227,-1,728078,-1,481811,611170,159203,-1,752243,597644,-1,-1,-1,674479,496283,179648,-1,-1,-1,-1,618923,509574,719263,632317,-1,-1,-1,-1,622279,900206,859781,-1,-1,319685,-1,733720,542181,-1,328769,292128,964374,298763,326383,640319,36784,809671,364609,536417,-1,-1,-1,200022,70105,-1,-1,297507,-1,-1,371073,-1,-1,-1,-1,151197,-1,-1,434609,875396,-1,204279,-1,-1,995813,126505,668581,-1,448896,-1,-1,-1,791244,-1,-1,557557,-1,-1,-1,-1,404519,-1,175063,104688,268175,672536,-1,179590,401438,540986,621513,-1,974196,2784,237315,198400,772584,-1,172334,-1,-1,27485,-1,-1,-1,-1,439597,349072,-1,254370,-1,753582,-1,-1,114370,-1,575933,-1,139505,-1,30442,-1,-1,-1,945110,-1,999246,817795,-1,-1,-1,-1,-1,-1,-1,247292,-1,-1,-1,-1,-1,95183,567731,737583,-1,599662,557277,948488,-1,467354,-1,-1,-1,-1,-1,-1,-1,-1,503475,601632,595736,947806,823568,-1,295457,-1,869929,-1,-1,-1,436200,361860,-1,14679,-1,-1,-1,667104,763192,-1,-1,569157,-1,821888,786246,769669,-1,836947,-1,197643,-1,-1,542241,31308,132481,662199,-1,-1,358575,136387,739604,142235,339288,926881,253415,-1,-1,-1,519814,-1,-1,-1,939871,744854,-1,-1,715447,837020,-1,-1,241172,313464,-1,933537,-1,-1,229019,607652,-1,644445,-1,-1,847730,-1,316883,-1,997725,-1,-1,766034,785068,800706,-1,790042,440410,294068,-1,480599,-1,690926,-1,-1,-1,-1,-1,-1,76806,95063,387008,256138,-1,192619,-1,-1,-1,-1,-1,325865,-1,40156,622553,619364,946610,824355,400966,-1,187423,-1,793344,-1,-1,556857,-1,813065,675581,562210,-1,830363,413592,253014,-1,-1,-1,-1,850882,482085,244189,648954,-1,-1,-1,866880,628725,-1,995105,-1,-1,127845,-1,163993,439338,-1,-1,726394,-1,-1,981160,-1,224574,-1,-1,153250,877808,-1,698567,-1,998539,-1,-1,-1,331128,-1,-1,-1,-1,-1,-1,148503,-1,910953,-1,74357,119531,336828,-1,-1,-1,-1,-1,36284,-1,471552,-1,546430,-1,79126,442761,-1,154316,876460,-1,-1,399947,-1,-1,783814,-1,-1,-1,-1,87675,-1,-1,-1,-1,122597,-1,128505,-1,906620,236627,174023,430297,-1,889169,119904,820020,345572,403624,-1,-1,835934,-1,943851,655526,-1,-1,65032,900322,206269,-1,700546,-1,-1,633698,-1,-1,82396,915349,-1,-1,154949,-1,691853,-1,-1,165120,-1,720206,-1,885586,-1,31313,-1,-1,-1,-1,834706,400487,768060,-1,-1,514972,94156,992336,394402,-1,375644,-1,213535,811321,-1,-1,-1,767643,651560,311633,-1,-1,-1,-1,770737,326863,595016,363366,64132,-1,-1,184978,658615,482740,638777,-1,-1,-1,579229,-1,-1,460061,-1,-1,230611,549578,253749,51203,-1,117300,633322,-1,248363,-1,333214,-1,-1,-1,671226,437664,-1,-1,141866,168838,-1,957914,865069,-1,8144,8726,426075,-1,1030,172149,726752,-1,-1,821030,-1,-1,-1,973331,-1,-1,-1,812003,938112,519634,260939,-1,-1,-1,-1,-1,414654,549517,-1,497902,543608,267452,426583,736464,856183,529739,301380,-1,-1,451825,-1,241182,-1,480209,-1,-1,-1,783213,295049,187944,-1,281870,-1,-1,93251,-1,347538,688640,-1,-1,545899,18687,952261,-1,402921,-1,124280,428122,-1,-1,918403,866533,-1,-1,202041,744046,655511,947036,395732,967053,565792,-1,614149,331355,586823,-1,813274,-1,925077,-1,-1,-1,-1,648938,-1,850958,322199,784005,240283,1501,-1,-1,228605,175543,-1,121055,-1,714231,719160,234325,591994,-1,-1,80339,681388,-1,-1,716840,416553,-1,-1,-1,-1,-1,-1,-1,640791,-1,-1,436504,954808,541174,674961,23858,754385,-1,622434,-1,-1,45142,-1,-1,770912,-1,989383,977435,648573,-1,-1,-1,208274,-1,-1,372457,-1,160896,527465,-1,800152,812715,-1,633857,-1,-1,645067,-1,-1,-1,125742,-1,-1,346278,782414,706685,-1,808171,-1,-1,-1,822931,117843,-1,876666,459572,196134,981044,-1,-1,451522,-1,-1,955895,-1,-1,290426,221770,768116,584698,-1,152688,716885,105852,624444,-1,459094,-1,577267,804283,677327,-1,683950,294414,-1,-1,-1,256473,-1,75472,-1,579240,356202,-1,-1,-1,869842,-1,-1,879893,398646,-1,-1,960549,578501,730397,-1,622708,-1,-1,927447,-1,-1,433849,54934,724961,686233,-1,-1,-1,343608,125566,-1,-1,-1,612460,-1,276124,730660,871174,241006,339784,-1,-1,-1,-1,278340,-1,-1,-1,-1,-1,-1,-1,451138,170305,954329,439098,455827,-1,-1,910511,-1,529197,354436,306044,891348,-1,239308,-1,-1,-1,908605,-1,800566,317042,764323,736792,-1,399352,963391,-1,311440,-1,792524,-1,-1,292374,-1,-1,-1,228780,691379,321249,57480,116473,-1,-1,67227,57727,-1,856,981724,-1,-1,-1,-1,722432,436554,108066,-1,960121,-1,667945,-1,528215,-1,-1,-1,918820,-1,-1,321465,683221,868737,-1,-1,-1,-1,331125,-1,645854,896023,644850,-1,64627,-1,884489,516850,61700,513869,-1,-1,29407,798612,220521,475140,140817,411859,-1,854863,-1,407312,978231,485934,-1,-1,-1,-1,857774,-1,-1,-1,771676,-1,859984,-1,101187,-1,-1,-1,121514,274113,303067,146045,-1,-1,-1,829816,983462,-1,333915,-1,-1,-1,286568,-1,360659,-1,-1,886194,853965,532557,-1,509584,299238,-1,-1,-1,310352,-1,-1,-1,536160,982533,125034,73874,-1,43713,-1,453806,438027,875541,608992,433224,-1,372518,-1,-1,80236,956554,62460,-1,-1,457279,-1,707353,148325,-1,38561,-1,-1,384791,-1,-1,959342,942564,-1,-1,917093,-1,-1,-1,691040,24742,443467,-1,-1,887676,841553,-1,-1,818276,283650,-1,15701,-1,502439,-1,-1,435530,-1,-1,-1,215156,216011,-1,815071,-1,225914,473624,589122,682423,-1,-1,693451,301924,-1,240723,-1,-1,-1,-1,937133,-1,-1,-1,-1,518599,-1,-1,-1,811844,-1,-1,-1,-1,39703,128811,-1,474311,575794,458162,867732,810975,343672,77307,566453,-1,103743,-1,843988,472772,321710,-1,-1,602086,771601,-1,92052,821748,576948,840617,-1,81553,-1,302211,-1,-1,-1,-1,-1,253192,-1,-1,-1,633320,-1,-1,-1,568985,579724,-1,-1,914781,697934,895818,-1,422690,-1,-1,-1,-1,355601,487866,906148,166119,-1,830260,-1,498609,331981,702805,448962,57990,603310,-1,-1,962673,276772,947436,-1,815764,-1,431258,-1,-1,12039,-1,-1,-1,423138,-1,344394,296598,-1,585125,-1,574958,-1,-1,-1,-1,-1,791457,-1,-1,-1,126716,-1,-1,808074,-1,712760,899787,-1,-1,-1,-1,-1,-1,364145,852324,558706,990771,934642,922668,21284,593912,624452,-1,-1,-1,-1,-1,-1,-1,778912,832487,-1,775449,842610,44063,819610,171637,-1,280057,589560,-1,-1,370670,-1,634775,-1,-1,924577,-1,-1,-1,384148,-1,601649,674123,419682,168257,-1,93416,147657,824653,-1,783765,-1,-1,-1,538142,585265,-1,579453,-1,975026,574433,-1,810706,306813,445561,942939,226670,-1,-1,987927,425199,24699,131368,807535,208164,-1,-1,609009,818028,227951,654527,-1,-1,921930,-1,131572,508340,194773,233686,124814,765417,-1,-1,-1,183046,838214,-1,-1,543446,-1,578181,-1,-1,980634,-1,-1,766241,-1,-1,332371,-1,577152,115218,308239,282839,-1,-1,889959,210231,301783,81291,244166,460633,-1,3929,-1,-1,482658,-1,-1,130161,124448,984824,-1,290719,-1,-1,949757,160472,-1,-1,-1,-1,-1,-1,330222,-1,233752,-1,-1,-1,-1,-1,-1,-1,-1,192306,735436,719085,-1,-1,-1,966135,-1,-1,931832,-1,831335,-1,-1,804557,920670,-1,821266,930580,393335,83587,414951,251750,-1,273060,785299,-1,706450,-1,658804,-1,-1,-1,340104,-1,-1,938892,-1,-1,-1,316553,317104,-1,-1,350335,-1,-1,-1,-1,375180,808180,649317,-1,-1,-1,961546,237439,-1,990043,-1,-1,127887,985501,490476,-1,559581,990672,-1,830134,-1,62895,-1,-1,316776,613389,901873,-1,-1,-1,-1,-1,-1,-1,654059,336165,-1,790306,142368,-1,-1,446769,-1,-1,-1,-1,-1,-1,616306,208921,-1,893953,886763,81474,-1,-1,-1,42424,451378,673459,876574,-1,-1,-1,91106,-1,-1,-1,-1,502811,760157,631984,501629,291787,120491,-1,931957,537648,855333,561895,-1,-1,-1,745235,341062,-1,-1,-1,-1,-1,-1,616629,593236,813902,423486,-1,-1,584167,561504,-1,791599,-1,890496,354650,-1,639057,-1,-1,-1,64705,-1,580577,-1,112334,292810,-1,882526,-1,387914,-1,723411,803665,511711,772269,-1,284572,-1,736658,627971,340699,177568,804483,10898,-1,315750,873846,-1,532046,-1,854187,588630,210123,325674,691311,241307,561049,-1,1944,-1,76115,-1,-1,-1,191874,-1,-1,-1,631798,-1,-1,-1,-1,943906,-1,938735,296409,-1,530749,137008,-1,496624,-1,774627,252585,-1,381627,953078,-1,-1,-1,-1,-1,-1,56435,-1,18083,34538,195840,-1,718598,-1,-1,274505,-1,-1,951902,-1,464339,-1,846666,-1,627546,838143,-1,-1,188535,-1,-1,334817,-1,572097,344593,98873,-1,434132,-1,893461,341848,379670,622040,215372,-1,-1,381868,-1,91821,-1,-1,501970,441982,-1,972332,-1,-1,-1,199173,-1,-1,39622,288978,-1,337963,656708,644425,178326,-1,-1,-1,-1,517683,-1,206307,785377,516821,229424,-1,-1,-1,416332,-1,-1,-1,258836,620678,361713,35038,-1,-1,-1,-1,-1,863885,-1,876761,23814,701903,498891,-1,-1,349681,-1,-1,976970,-1,-1,369759,-1,954837,513677,958603,-1,229787,169242,597724,-1,873830,-1,-1,-1,962373,744511,-1,920345,-1,-1,-1,332426,-1,899411,-1,338839,-1,-1,216404,-1,-1,797059,969309,-1,620894,947623,813600,-1,-1,670451,-1,-1,168440,-1,-1,189158,-1,-1,-1,104661,-1,-1,938380,827615,780165,771989,-1,735201,292752,290471,644289,-1,122573,-1,-1,-1,-1,379333,842346,-1,-1,922257,263875,93859,64392,-1,598014,-1,580655,884096,-1,407283,198070,455151,548178,595273,-1,-1,-1,911907,-1,952225,728836,85299,-1,748300,-1,162886,-1,359190,488913,-1,278433,-1,-1,511825,85945,-1,-1,82761,-1,892416,-1,-1,-1,590362,-1,950724,-1,388370,-1,997205,-1,162551,574413,113298,-1,543586,-1,886406,255596,-1,-1,607995,98432,644420,-1,-1,128303,-1,-1,-1,242962,410921,658886,-1,-1,-1,354057,978096,216678,755075,-1,968776,-1,527162,-1,-1,976009,981772,984647,-1,66682,234468,-1,-1,-1,-1,834286,-1,-1,84377,208275,-1,375138,681970,-1,-1,790204,-1,882900,48082,600144,602933,954439,-1,992532,647626,-1,-1,425134,-1,-1,-1,-1,-1,25519,-1,973436,362950,300026,-1,-1,124321,929036,347287,-1,-1,-1,-1,226177,-1,12549,80769,-1,-1,905321,-1,234633,-1,-1,32641,-1,13819,136883,-1,-1,17543,426418,691932,594320,-1,673431,-1,382325,-1,435997,883705,366617,103134,896442,950112,-1,86756,815590,439497,-1,-1,263009,-1,-1,-1,-1,-1,-1,651473,-1,21068,-1,181737,366171,319274,-1,186913,-1,-1,586183,-1,67231,-1,-1,714058,-1,-1,-1,110000,707763,547736,959729,429849,611550,15028,-1,-1,-1,-1,-1,199240,-1,694868,-1,685646,990458,46409,-1,650657,-1,-1,432522,318667,624332,784394,370045,369257,151871,582877,647363,422755,-1,-1,-1,951575,401470,-1,531842,-1,-1,548210,-1,581926,-1,-1,897788,427918,231424,-1,992208,-1,-1,-1,-1,837508,-1,56441,-1,-1,479485,157793,636467,620382,384776,-1,531576,-1,-1,-1,700273,134671,-1,-1,666055,-1,650260,235525,-1,792246,988144,-1,302313,470178,-1,477171,1122,-1,-1,-1,-1,-1,810239,-1,226022,-1,-1,988585,-1,-1,-1,-1,565743,-1,213556,-1,964906,-1,-1,937049,945621,529227,-1,55032,583981,-1,-1,405908,656780,653309,577662,-1,-1,664283,945616,-1,-1,-1,453359,547636,-1,-1,274344,565588,848247,-1,635334,594148,329904,-1,-1,609336,-1,241958,890339,92456,937918,642418,-1,-1,-1,-1,301787,843160,-1,-1,-1,-1,697116,-1,-1,117585,-1,678910,-1,747234,871484,747855,-1,-1,188506,-1,-1,749635,524424,123393,531868,-1,-1,-1,425217,-1,-1,-1,-1,-1,-1,-1,867896,-1,-1,-1,31701,662939,-1,302177,95758,47499,-1,-1,-1,-1,-1,-1,380536,-1,-1,593557,3103,-1,210239,891695,-1,565282,617395,528695,-1,-1,-1,-1,-1,-1,-1,417034,341917,-1,260000,-1,-1,-1,479507,-1,-1,823378,-1,-1,929824,512833,928475,387000,-1,97629,625065,-1,-1,829396,682267,868279,-1,410841,-1,-1,950223,-1,739788,-1,-1,-1,163339,-1,-1,-1,-1,76927,51599,481889,457004,-1,-1,55725,684838,927353,563479,-1,372666,-1,672398,-1,-1,-1,601967,143555,591917,484822,-1,-1,259556,742612,-1,805723,-1,468378,926513,362132,117027,137944,-1,884908,-1,854004,-1,-1,717433,-1,-1,316216,420021,-1,-1,-1,186119,-1,8574,-1,445015,315999,30594,104594,570927,-1,-1,862309,548105,302112,-1,-1,-1,543617,-1,676732,356765,487356,-1,-1,-1,861625,914869,598408,220697,718961,621620,833727,956836,-1,-1,-1,-1,-1,888835,1220,-1,902119,272765,978278,-1,925189,-1,431245,226737,520467,-1,-1,-1,343130,-1,-1,-1,500881,-1,-1,-1,587702,787183,-1,168802,68632,-1,-1,-1,986452,-1,39716,336134,85492,-1,581849,-1,545363,-1,-1,539002,139568,-1,-1,782016,230714,-1,5699,746945,-1,-1,284839,577182,191116,-1,-1,-1,863628,72598,386494,907944,-1,117804,-1,297849,-1,-1,47091,-1,-1,297555,-1,706544,976995,-1,-1,408558,-1,474766,506839,994936,169557,-1,62132,453772,-1,903107,802297,925701,-1,232986,119199,77526,-1,-1,88366,256062,831470,-1,68367,669211,-1,200495,124353,-1,-1,-1,-1,239594,-1,551784,504795,-1,681799,777216,307941,-1,185344,952200,-1,660310,570736,-1,751175,-1,247181,-1,-1,807254,335525,-1,-1,890087,-1,644000,-1,171451,-1,-1,-1,747555,-1,683462,-1,227416,7120,-1,318547,821391,212389,-1,-1,518351,205845,-1,569724,-1,-1,-1,95398,781166,624916,-1,-1,7830,653831,-1,403628,-1,233063,139708,657502,-1,738533,-1,-1,258989,-1,31345,-1,838451,-1,946828,24068,575131,381434,548048,844321,227333,-1,-1,332284,-1,806851,710384,726348,142002,-1,-1,-1,-1,476445,-1,777518,869758,-1,-1,393164,-1,-1,238217,-1,304073,-1,698353,-1,-1,-1,312749,-1,-1,52045,823319,920054,852560,-1,478597,-1,-1,276235,-1,34601,-1,-1,-1,-1,283502,464799,484911,-1,-1,-1,-1,-1,95012,262966,643220,-1,-1,399542,-1,-1,-1,585477,-1,-1,-1,-1,471306,-1,464029,298212,349566,-1,956183,630938,295472,10890,-1,970735,-1,-1,528105,-1,554990,465657,-1,-1,-1,646841,888271,-1,992767,-1,-1,-1,-1,128958,-1,-1,351713,-1,-1,321604,73006,555538,995376,589458,209250,200220,-1,401563,-1,229042,-1,-1,-1,189130,-1,747516,-1,-1,-1,479163,-1,-1,53817,207783,15923,-1,-1,-1,-1,-1,-1,514724,-1,-1,-1,-1,812249,189021,682370,-1,196763,856798,908881,-1,-1,-1,544384,220209,-1,-1,-1,405640,-1,326242,-1,459957,-1,4642,-1,527533,-1,-1,-1,431771,355328,554132,-1,13688,446275,-1,-1,176262,127333,-1,28625,179016,-1,25446,-1,663885,-1,-1,447104,47816,618767,-1,-1,-1,-1,900942,188237,426033,-1,697586,-1,-1,-1,651864,445883,467081,-1,-1,-1,657320,-1,-1,212963,581472,944191,-1,-1,806143,-1,-1,-1,-1,817267,-1,706217,739292,-1,-1,979370,716735,302590,-1,394518,420268,521537,-1,-1,852242,-1,301292,-1,-1,-1,171804,-1,-1,-1,464366,-1,-1,-1,-1,-1,-1,124637,336486,29911,-1,-1,-1,154791,715500,262155,910244,32134,539451,350961,-1,-1,583587,-1,252721,-1,-1,643074,782001,-1,381323,-1,915023,247833,-1,-1,329015,-1,426909,523310,-1,-1,227197,-1,570523,-1,242974,-1,-1,-1,-1,-1,223880,2048,753551,270469,-1,161646,974964,27022,-1,60662,573535,-1,554623,93743,-1,282521,36608,-1,-1,163248,-1,154533,-1,-1,-1,-1,-1,-1,427492,-1,-1,-1,630590,847982,-1,-1,-1,-1,-1,-1,488081,-1,265188,559079,739791,-1,931247,115579,-1,-1,623790,260910,605100,841695,-1,-1,749478,-1,869575,986999,108554,-1,181416,239750,272691,-1,-1,-1,357712,-1,430757,-1,187334,-1,-1,74384,530372,978430,-1,-1,749141,156966,350743,443364,53110,-1,272418,-1,598844,539407,456693,947868,344845,-1,-1,670194,-1,4125,-1,38876,-1,325945,-1,66007,-1,532145,-1,794897,29555,300359,603122,302873,26981,-1,-1,351008,969134,381706,678459,-1,-1,-1,-1,-1,650492,-1,379434,-1,-1,-1,-1,-1,692609,817321,990318,-1,-1,-1,436586,931598,108613,-1,957143,105057,747223,342827,-1,-1,736102,710343,-1,-1,-1,705392,667397,978323,995556,-1,-1,351589,75722,669630,123801,910153,-1,-1,102643,-1,841408,599724,-1,-1,-1,238473,-1,74566,-1,-1,-1,630274,492925,610901,540281,981968,716155,-1,681743,-1,75815,-1,-1,-1,-1,760012,15775,-1,-1,-1,-1,603045,610595,-1,-1,366782,-1,-1,688221,-1,886814,444399,-1,669398,-1,-1,-1,-1,28523,-1,-1,695779,-1,-1,694833,-1,806449,-1,-1,-1,-1,829166,777735,162737,956865,-1,811500,314259,-1,630899,59141,111767,989307,-1,-1,-1,639092,449393,-1,-1,34276,818800,-1,-1,695656,828356,-1,-1,-1,179609,319454,258894,-1,921102,-1,409578,288119,965386,310839,626120,773044,814003,94882,820733,884910,959523,538804,106498,501581,-1,724106,-1,944666,505460,-1,398240,529177,-1,910759,-1,853072,-1,319462,318120,-1,-1,-1,872835,-1,290407,-1,-1,99809,-1,418432,769751,471236,874756,226,-1,159103,999798,-1,252179,570185,-1,-1,-1,31615,-1,-1,-1,672040,583163,-1,159532,-1,384816,46498,511829,-1,580714,14625,-1,-1,-1,853966,593869,-1,-1,325911,-1,-1,693440,-1,644118,842105,626170,986379,-1,-1,-1,-1,403049,-1,-1,316154,329581,-1,113536,-1,348187,-1,428595,253238,801027,573416,923542,-1,-1,-1,-1,-1,994745,675815,525434,-1,736329,575559,-1,822520,353727,-1,790653,231573,-1,737702,302232,910676,23348,-1,622147,96418,819339,444391,-1,444429,454614,946847,907279,-1,738393,-1,-1,617919,19311,710761,113153,127673,603248,706911,-1,706301,-1,-1,-1,578581,661352,169937,450590,289133,-1,-1,-1,-1,-1,-1,-1,-1,58494,-1,-1,-1,672683,67216,285625,353346,47354,-1,-1,-1,-1,132902,-1,814002,964138,-1,-1,443489,96488,-1,-1,-1,-1,29230,-1,-1,-1,324438,955741,871474,-1,736047,-1,311797,805341,174710,-1,-1,519600,798637,-1,97205,-1,-1,-1,-1,270404,-1,426070,174238,-1,-1,133655,365264,189997,-1,-1,-1,-1,59428,-1,-1,-1,25980,511671,949177,281501,506790,-1,869312,-1,495966,811322,428096,-1,646701,-1,309050,791855,-1,-1,-1,-1,-1,-1,-1,977375,366487,20748,330447,13761,-1,573728,-1,276459,979719,-1,-1,-1,522281,289224,-1,786748,677229,-1,-1,11084,-1,-1,782125,-1,259796,920363,-1,139049,323671,-1,-1,-1,413589,282290,45723,-1,-1,366324,-1,104240,-1,-1,-1,923441,514416,222808,-1,269048,-1,768249,-1,-1,-1,884475,448042,755311,197074,-1,49861,301639,-1,469620,-1,527133,932000,-1,330550,224299,557673,766286,813216,41246,-1,-1,613385,-1,-1,552850,305813,127153,7212,-1,-1,803335,-1,-1,-1,790712,964819,-1,619988,546102,-1,810469,491539,159093,129174,808570,506337,-1,-1,-1,726895,933774,925748,834855,624218,-1,-1,542,107892,313021,-1,-1,-1,-1,301107,466506,-1,391048,32122,949687,169868,569264,182047,-1,780771,643720,-1,-1,-1,-1,-1,-1,531415,644913,-1,349305,-1,232226,-1,-1,593763,-1,-1,830808,550939,-1,64427,712994,513909,245524,-1,-1,564719,-1,626261,-1,-1,-1,-1,-1,687036,301243,-1,423853,-1,-1,761137,925826,-1,957091,-1,-1,36885,729591,854043,-1,932837,33725,-1,-1,-1,119390,989787,913706,583979,903080,-1,-1,367890,-1,-1,610462,-1,-1,-1,174913,560196,666385,429087,784406,937070,449155,947656,-1,71369,603137,-1,-1,604422,-1,199812,618701,-1,577642,123487,-1,-1,870687,982813,148136,326707,-1,-1,120522,307874,-1,492000,-1,823037,-1,-1,882466,607880,285753,-1,-1,-1,254808,474878,-1,579387,-1,349979,905569,163414,587133,38558,-1,-1,-1,2326,-1,249810,-1,-1,-1,643371,-1,-1,-1,-1,-1,771467,853246,40850,85498,363161,-1,155136,155143,-1,-1,681090,-1,349119,-1,-1,-1,921749,-1,-1,830871,724539,-1,235069,574847,-1,-1,584796,868548,698059,774618,735292,-1,-1,139271,206123,292598,-1,700254,-1,608989,-1,740656,-1,133726,-1,866921,777960,-1,317,372618,798970,882843,-1,261067,-1,925982,437488,37253,-1,-1,-1,798642,-1,-1,957110,-1,-1,-1,-1,216001,-1,-1,280351,-1,-1,931855,296661,505218,-1,687870,189647,151122,716752,650602,62636,396565,-1,317240,-1,167728,-1,-1,489180,-1,869685,264177,635935,151445,497807,-1,-1,339947,-1,-1,98919,731904,-1,-1,379562,919584,-1,-1,75598,-1,155776,681361,284411,796990,-1,-1,-1,76900,-1,-1,294618,898504,-1,166199,-1,224275,-1,-1,-1,589314,365495,95514,801357,535839,21963,582403,519212,-1,-1,731036,-1,-1,586042,51980,800126,482383,-1,423791,888632,-1,372977,876651,-1,553252,-1,-1,-1,967210,-1,-1,-1,-1,-1,518766,208904,111197,-1,12047,-1,-1,-1,129854,-1,501515,546772,152857,-1,103336,-1,-1,725489,-1,529805,-1,-1,73686,-1,134760,177726,398953,123105,-1,670231,-1,-1,-1,545033,-1,86255,-1,-1,42077,-1,61932,-1,503855,-1,336060,527942,95498,711728,428898,500805,437361,866263,624416,-1,543796,-1,953149,-1,-1,770442,-1,-1,620019,240744,-1,537574,-1,398402,-1,816289,-1,-1,-1,-1,715728,-1,-1,265088,-1,889487,713790,-1,117487,281202,-1,399133,-1,-1,-1,650268,552815,-1,148409,15306,203668,783429,243424,-1,206122,-1,-1,-1,281949,-1,-1,525194,-1,557222,981124,563323,-1,-1,281322,387608,420503,619817,826298,-1,-1,181756,-1,890276,335169,-1,-1,-1,334589,210425,-1,186071,661184,276703,857153,671649,-1,-1,-1,-1,-1,-1,-1,56039,-1,124818,-1,100753,86129,773031,-1,-1,-1,410789,-1,153059,-1,338164,-1,-1,-1,868158,815845,533505,865328,-1,950616,-1,-1,-1,-1,-1,-1,552760,154429,-1,606574,-1,-1,-1,766912,-1,-1,678407,335687,-1,-1,538479,-1,953223,-1,583429,336435,359136,278598,-1,-1,798960,242740,-1,-1,716941,386047,-1,353747,-1,360524,-1,99907,-1,-1,948014,148812,439973,547758,421823,-1,549230,-1,-1,233033,-1,-1,662749,-1,-1,994732,-1,-1,973664,-1,-1,-1,-1,276494,-1,247752,-1,-1,463549,381455,-1,163560,-1,954251,968822,-1,404260,-1,-1,-1,618961,243616,-1,-1,32857,-1,551755,680025,-1,-1,102077,161984,-1,-1,-1,703363,202375,-1,-1,-1,377959,-1,-1,-1,-1,-1,259757,14127,-1,-1,644101,679862,644865,-1,-1,654052,717182,858860,41561,-1,-1,-1,706668,-1,215456,-1,-1,911174,718234,-1,-1,654427,744827,-1,-1,304036,640727,-1,-1,-1,652506,58864,319488,519318,558490,153167,237123,-1,-1,-1,-1,-1,918950,816023,-1,-1,419659,945948,139660,-1,601672,-1,-1,157503,-1,-1,-1,-1,-1,50039,598653,-1,733927,-1,-1,-1,273454,-1,306500,746441,654508,-1,908212,64617,505586,-1,-1,163554,-1,484863,865402,-1,209178,518592,-1,489314,-1,353378,-1,-1,668964,-1,-1,522616,-1,822432,-1,-1,956091,782319,-1,-1,-1,-1,-1,26860,774499,-1,-1,792383,525914,145255,-1,-1,31477,-1,-1,-1,590170,-1,54814,-1,112266,254086,178968,99177,-1,-1,-1,-1,-1,277588,495280,-1,-1,340348,506184,-1,319705,-1,-1,-1,294877,462026,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,383276,300247,-1,-1,-1,964145,926668,685894,-1,-1,-1,-1,388224,133764,97305,977261,624009,146835,-1,861723,484209,361259,871682,-1,-1,668825,-1,-1,444940,92858,-1,-1,-1,243718,-1,158655,377535,-1,765182,737411,470093,298110,885977,-1,341487,-1,563247,273179,667862,635791,113472,150189,618009,257877,-1,516698,337753,-1,266859,513679,-1,662774,120510,-1,-1,-1,-1,948318,946197,637634,539193,-1,-1,154493,-1,-1,-1,-1,174195,-1,-1,-1,-1,234119,879816,-1,-1,-1,96257,25459,-1,-1,-1,-1,270630,-1,532865,-1,-1,512615,936632,-1,510082,150118,783455,284626,-1,-1,841217,59973,919127,795208,179835,11683,-1,105356,762747,327840,-1,-1,-1,-1,257742,203201,-1,12660,528283,183839,-1,341281,35156,460007,489163,-1,531199,335210,593935,34045,291849,-1,771567,-1,-1,-1,243356,-1,-1,691697,645247,-1,389402,794333,689194,148603,771544,-1,692986,-1,471061,568435,-1,285286,-1,665676,361766,-1,31548,358822,573110,-1,675872,-1,-1,735591,-1,770274,-1,52165,619826,-1,265646,-1,-1,-1,-1,-1,398368,543042,-1,-1,-1,180105,-1,314713,-1,-1,76105,386493,-1,-1,-1,941687,709785,-1,178759,-1,86379,687992,224644,-1,-1,-1,-1,-1,-1,236822,-1,917778,875035,-1,-1,527834,40554,51204,-1,-1,-1,-1,663192,-1,512274,21173,354744,690588,666331,-1,-1,-1,-1,406059,166088,-1,-1,424341,-1,438261,-1,286707,114366,399371,308852,267203,2674,147314,-1,529037,-1,-1,384650,-1,-1,403865,8313,937956,-1,96712,-1,243726,-1,-1,-1,589040,-1,-1,744458,232555,477587,676908,26611,-1,304797,138080,-1,803127,664690,-1,319882,-1,90109,389373,227290,232697,-1,483073,452590,410484,-1,610955,-1,-1,590776,-1,-1,-1,662648,-1,-1,-1,-1,409611,-1,-1,399891,-1,956284,-1,255845,684464,-1,-1,-1,599850,323026,482256,226501,-1,-1,-1,92683,-1,935233,702271,800896,-1,-1,-1,40227,814814,-1,462687,469403,-1,-1,121240,-1,652400,908524,825412,-1,-1,-1,64157,76952,-1,903303,379,-1,-1,-1,-1,-1,-1,547021,464246,-1,202017,286186,-1,363732,-1,-1,-1,-1,-1,-1,680052,948692,-1,-1,931215,416050,529644,10077,-1,484414,-1,615785,442114,485802,693251,299583,95817,358856,623685,138486,-1,-1,-1,653353,-1,253200,-1,-1,302758,-1,-1,-1,941336,142149,312595,-1,-1,596368,-1,846582,-1,-1,-1,29568,223909,-1,-1,-1,533101,-1,352939,-1,-1,178082,-1,-1,173130,-1,727781,922273,379113,-1,-1,824429,-1,-1,-1,452155,-1,-1,-1,-1,668766,-1,255817,-1,-1,-1,-1,-1,-1,121580,619000,-1,111720,165189,-1,733020,-1,-1,-1,-1,-1,90498,-1,-1,957338,408104,951892,139593,551889,615215,-1,421623,219008,163362,626635,825106,-1,-1,-1,-1,304742,228506,-1,795106,210188,248356,667990,492587,-1,521950,-1,-1,-1,987646,441520,-1,785494,610593,-1,286911,219858,841486,425408,313312,-1,-1,33422,-1,-1,826611,968273,86200,13133,-1,-1,770425,498798,-1,-1,-1,-1,571394,942119,-1,-1,-1,-1,728280,825736,-1,-1,-1,544536,-1,924029,-1,871164,-1,481996,777384,664318,219989,-1,847995,641606,-1,109811,344646,-1,1792,-1,931205,583526,396849,-1,121293,-1,786547,182102,-1,-1,522963,-1,-1,352911,646023,-1,544808,87289,-1,-1,-1,301992,-1,-1,-1,898000,954540,-1,296992,280302,-1,-1,512044,948031,-1,560521,468600,-1,-1,736931,-1,580329,-1,645572,782087,-1,690252,-1,627706,700845,-1,-1,-1,235311,414632,-1,-1,44615,425286,-1,563588,-1,-1,-1,-1,-1,287263,-1,-1,-1,980738,760275,-1,705804,102777,750014,546768,980125,-1,703512,-1,104595,-1,-1,99183,-1,911981,776479,799239,-1,494560,-1,428083,178074,283934,-1,229664,784892,-1,-1,209662,-1,722664,-1,-1,-1,617384,-1,960718,614754,-1,391012,331586,-1,572380,295137,-1,-1,-1,542226,983735,-1,-1,289778,-1,159795,-1,583205,252045,556226,554716,-1,307719,452439,479451,-1,-1,467632,851664,-1,-1,-1,-1,241698,-1,181052,572769,103217,382340,460364,-1,-1,974709,776136,144308,-1,-1,-1,-1,441828,821420,-1,856652,755728,245218,211195,651339,-1,-1,47303,-1,-1,-1,791963,10191,961053,-1,-1,-1,-1,-1,63707,-1,-1,740133,94188,302940,-1,761410,826225,-1,-1,-1,303327,-1,-1,969259,480728,-1,-1,733584,861185,589329,-1,721799,712091,588599,753117,879508,-1,905516,-1,-1,572571,-1,-1,-1,-1,231806,284631,-1,395141,-1,-1,817718,-1,-1,542058,124522,-1,380185,539173,-1,-1,28213,476787,727009,724836,500700,461897,465132,-1,341374,-1,121676,-1,-1,573223,120139,616435,267265,-1,107056,611069,-1,-1,190968,902179,218331,-1,385989,868897,-1,-1,-1,-1,-1,415614,911736,-1,-1,-1,-1,691101,-1,-1,368954,-1,574141,294417,812354,-1,-1,55233,-1,-1,509637,-1,460345,-1,15220,174625,-1,267744,-1,437295,240246,-1,273006,-1,107730,880476,-1,-1,-1,796269,-1,911922,593446,894668,-1,80191,-1,-1,543472,51257,-1,-1,-1,-1,757718,383869,-1,717321,184651,-1,-1,888119,-1,874027,771553,-1,733467,194527,30115,885598,467780,-1,96533,838953,180878,475148,-1,-1,-1,924233,-1,581406,488303,-1,35687,97795,-1,468306,569924,-1,59245,79588,692251,-1,-1,414727,50014,-1,-1,963299,943296,-1,-1,-1,-1,156303,-1,-1,96543,945285,285862,923144,242689,569213,360127,345254,270845,1120,267879,-1,-1,-1,-1,-1,906643,-1,-1,935775,-1,402709,-1,231982,-1,390630,559828,-1,292449,351635,-1,-1,148329,713254,319114,-1,691359,871128,-1,461091,-1,895043,196300,869551,-1,827906,93751,284451,-1,-1,-1,371636,314679,326597,-1,-1,-1,235716,-1,406079,666517,-1,-1,964651,-1,840131,-1,933755,676039,748028,969935,900541,-1,647250,605500,901923,891834,-1,537195,495960,-1,-1,846041,252361,-1,-1,363324,-1,115552,859907,708341,-1,27908,-1,-1,-1,-1,-1,544223,-1,978355,566973,-1,823278,263224,-1,-1,771846,246513,87465,637238,-1,502802,583092,389412,968334,-1,794122,819729,504266,1082,729661,329268,129257,-1,551111,-1,650159,-1,-1,69885,-1,824392,-1,543703,913619,-1,784010,-1,-1,204006,-1,-1,487018,583035,483318,-1,-1,-1,505614,786211,153514,722386,208758,-1,578978,-1,-1,167980,-1,539680,-1,997707,-1,170422,-1,193089,470582,748343,532766,617909,519255,554346,-1,-1,838171,-1,-1,-1,556798,890115,354064,123380,179198,-1,763228,45137,-1,178637,720361,-1,-1,840200,632179,-1,938500,-1,-1,-1,399000,-1,-1,188105,-1,-1,-1,-1,-1,180702,-1,-1,209323,432028,-1,-1,141561,862213,-1,-1,-1,791880,-1,-1,834621,986171,-1,783228,-1,-1,643908,553935,-1,236448,-1,-1,-1,-1,755168,225902,395183,710226,759072,563855,-1,-1,446703,596052,187732,865508,477782,-1,249110,-1,-1,-1,760767,-1,-1,566702,873143,-1,-1,-1,770350,-1,925498,973889,456191,-1,-1,-1,-1,-1,133955,-1,-1,45740,208769,566125,-1,597965,975849,208122,-1,566487,-1,124075,-1,633041,-1,-1,-1,-1,-1,825649,-1,-1,-1,-1,336532,377352,-1,-1,355432,-1,429322,804486,332419,706132,-1,-1,477718,733573,-1,536067,777207,818436,-1,-1,843363,215422,-1,-1,-1,33797,137193,377221,154441,-1,-1,-1,791050,452564,720179,-1,-1,-1,281330,-1,581574,-1,297103,-1,-1,-1,756068,858406,-1,256888,-1,60567,-1,-1,667620,-1,-1,-1,-1,-1,221736,-1,77340,549585,-1,42049,-1,470184,-1,306778,721607,119217,-1,-1,-1,-1,256598,945175,375539,-1,-1,-1,-1,-1,-1,418781,-1,-1,-1,-1,879865,394295,-1,373487,-1,-1,-1,876412,98137,-1,293113,615484,-1,-1,66459,-1,-1,60312,-1,-1,-1,453610,-1,-1,587974,422882,168921,-1,916535,-1,989873,953671,-1,-1,402530,736488,736063,776786,-1,920817,-1,13351,-1,500590,-1,-1,100477,298929,816344,-1,121607,425983,798882,485289,-1,-1,-1,-1,-1,-1,-1,-1,292916,35092,-1,407181,-1,-1,-1,719983,292844,-1,-1,959509,158289,741674,545509,229514,534954,-1,166412,722328,-1,272680,727644,145659,521515,894120,850624,-1,828863,740194,966773,-1,898577,161834,-1,-1,912541,661608,-1,832139,-1,-1,-1,-1,711949,-1,-1,559994,-1,990540,-1,-1,-1,-1,-1,299324,2393,363390,-1,-1,-1,744904,-1,-1,7298,881182,269235,730710,-1,709460,425498,659126,321891,-1,441132,-1,957227,701585,995815,-1,-1,-1,-1,-1,338490,989690,922771,276308,-1,-1,-1,-1,997013,-1,18572,-1,-1,258934,-1,-1,512717,-1,409521,-1,-1,-1,-1,-1,-1,-1,807857,-1,251779,25284,765150,-1,-1,-1,727590,-1,-1,155950,-1,313924,-1,138699,-1,-1,-1,897388,-1,-1,-1,-1,-1,-1,22241,335619,-1,-1,125937,400133,253671,440581,-1,-1,192805,942751,85105,178011,612194,-1,-1,-1,-1,754806,-1,-1,690044,-1,661882,192731,-1,-1,544624,122194,-1,-1,805846,-1,-1,-1,757017,-1,-1,751435,-1,-1,-1,-1,984073,84920,-1,-1,459753,-1,-1,988055,870793,-1,-1,133546,-1,-1,415136,-1,151480,649638,-1,973934,407439,-1,-1,-1,305512,-1,991535,122388,108697,737470,808609,130796,-1,517773,-1,664719,213499,448548,-1,794853,372932,-1,682675,259281,-1,141648,-1,524014,-1,-1,-1,-1,-1,-1,264016,-1,804174,-1,-1,-1,644076,667970,-1,964106,185809,953180,334651,890042,-1,495729,272796,937961,328924,853104,476949,-1,-1,-1,-1,-1,-1,941125,-1,372811,156115,568484,-1,-1,-1,-1,-1,661216,670202,510864,570111,378569,299189,-1,-1,594796,478136,-1,-1,664646,-1,656800,-1,-1,-1,755347,-1,397409,965138,-1,119616,208613,-1,-1,-1,937675,-1,387083,-1,118934,-1,258254,-1,-1,188218,-1,897797,-1,-1,200163,551007,836752,-1,-1,-1,570468,-1,-1,-1,-1,491228,-1,333716,-1,-1,543957,-1,-1,845073,-1,-1,-1,-1,807288,-1,76828,-1,421722,76632,-1,630155,-1,-1,344587,547730,274020,662066,993042,33987,614079,-1,-1,511521,-1,773533,-1,-1,-1,442249,448102,578355,-1,-1,-1,-1,211662,770104,86266,134434,904903,-1,73509,-1,284616,445942,196188,152528,-1,-1,902607,-1,-1,759697,-1,-1,625152,633812,871011,-1,-1,-1,638634,187883,-1,635802,824333,711735,269343,-1,-1,-1,-1,-1,-1,221993,973737,-1,-1,529182,52517,812515,-1,-1,-1,27262,775276,-1,198110,568817,116288,55722,-1,-1,188011,-1,372494,86901,-1,323602,305307,149564,-1,91302,708054,-1,904844,-1,-1,-1,483475,-1,-1,619556,-1,-1,-1,-1,185054,-1,-1,-1,302390,400790,-1,430623,-1,800678,-1,-1,267489,186754,-1,-1,-1,790002,-1,-1,147257,-1,-1,345169,-1,164164,343591,983611,989712,947849,270661,292577,-1,-1,-1,-1,342040,-1,368910,679993,211950,463350,323429,-1,-1,678347,-1,-1,310065,206282,-1,-1,692209,997381,642063,64851,759010,997495,233730,-1,-1,-1,-1,45515,-1,97980,-1,902432,-1,208782,-1,-1,979089,-1,987265,-1,-1,595346,820035,334343,48873,418308,-1,575103,190954,-1,-1,-1,-1,897802,189490,-1,-1,413475,892545,151097,290910,919467,-1,583315,-1,811512,-1,-1,-1,958467,313019,815469,749640,-1,427172,452656,348653,934691,-1,-1,920559,-1,-1,-1,25500,642931,171059,316898,605262,461324,551312,779123,386329,-1,-1,-1,590376,290247,315376,468177,587627,-1,-1,541903,-1,325576,946021,-1,-1,620874,434695,-1,773555,764222,422590,744604,-1,-1,289731,-1,-1,571302,335515,-1,-1,-1,648683,336069,-1,314857,-1,768298,16673,79090,248793,873323,129781,754222,-1,-1,-1,-1,955219,-1,-1,-1,-1,766545,-1,568699,191531,716976,824776,-1,-1,812261,-1,669115,930232,-1,86194,-1,66620,-1,-1,16270,552811,-1,-1,527284,600585,750085,625597,909165,398423,171819,-1,-1,-1,-1,-1,-1,80922,-1,102893,-1,-1,-1,-1,-1,-1,31731,-1,-1,-1,477660,-1,495345,-1,833933,-1,-1,195995,-1,-1,306835,-1,35616,12254,777148,-1,569923,299743,-1,405089,147769,216821,-1,952912,608684,809816,-1,-1,-1,562827,-1,432470,-1,723046,119535,92849,-1,-1,354231,506901,767407,-1,671026,222340,593260,876978,-1,-1,819180,-1,-1,323826,-1,854075,865286,-1,-1,549102,-1,-1,57877,384255,963039,847385,273594,-1,263443,-1,-1,292089,667361,-1,-1,-1,-1,126519,-1,-1,315335,-1,-1,611577,616784,-1,-1,115904,-1,-1,383875,969482,964606,727505,-1,-1,114970,798768,441641,483996,595566,663655,-1,-1,-1,636091,743084,823508,-1,-1,-1,-1,-1,45361,-1,-1,-1,-1,320601,-1,557409,106737,-1,-1,22347,618183,-1,-1,-1,-1,-1,722720,180798,-1,-1,-1,339431,-1,-1,-1,994480,-1,811374,696820,-1,-1,-1,-1,-1,-1,-1,81293,642128,-1,-1,-1,198211,-1,-1,467901,839795,986400,-1,-1,44369,-1,98349,-1,-1,783197,157954,748110,-1,184225,54855,-1,-1,-1,-1,-1,-1,-1,695426,869240,184092,634984,-1,-1,819810,702182,445268,819717,-1,-1,-1,-1,-1,-1,-1,-1,134634,310641,530625,-1,-1,568692,-1,524071,-1,-1,-1,-1,76892,-1,886587,-1,305370,412427,-1,-1,-1,419046,-1,-1,-1,-1,541975,334004,20356,-1,430592,640681,481001,321428,538886,818142,144657,-1,476481,-1,464451,-1,-1,690244,850475,-1,863993,563466,-1,-1,-1,-1,-1,97052,-1,-1,527994,-1,-1,-1,17067,309095,-1,524126,-1,587143,592195,131253,611410,-1,263457,-1,-1,-1,-1,203710,-1,-1,564723,143502,499792,977263,-1,408010,-1,374163,724695,-1,620375,320062,595201,-1,127968,897680,-1,-1,-1,945379,885651,-1,961757,-1,454497,-1,19886,117126,271779,-1,107286,282386,-1,-1,-1,507160,-1,-1,-1,875366,-1,748725,276283,337311,-1,-1,-1,-1,723778,-1,-1,-1,-1,322479,-1,685177,-1,-1,-1,706268,-1,248368,418256,494701,-1,-1,520035,-1,703760,607303,-1,52526,-1,127363,-1,-1,530111,-1,-1,320128,-1,-1,778040,-1,288181,-1,522290,-1,-1,-1,-1,657194,520087,-1,384921,-1,-1,-1,-1,-1,-1,-1,8005,381382,-1,709722,-1,-1,258305,-1,-1,439070,696374,-1,641810,216781,912348,-1,118065,422592,175692,-1,-1,424454,-1,939490,-1,-1,696694,-1,-1,-1,-1,789919,324602,109831,-1,607266,142908,-1,667314,-1,-1,-1,643727,806784,289900,-1,783800,493424,-1,936538,814447,-1,-1,933067,334162,89988,-1,-1,-1,-1,-1,-1,-1,-1,-1,228165,-1,-1,589058,64782,953018,989893,622421,740555,28917,731251,-1,-1,-1,776876,976385,-1,298062,-1,-1,-1,-1,-1,17416,642258,-1,-1,-1,-1,456317,-1,-1,42222,-1,567671,-1,-1,-1,626363,815271,-1,-1,594160,-1,-1,-1,554335,-1,436446,-1,-1,-1,-1,-1,540598,511283,-1,733851,534220,-1,328183,-1,896710,-1,-1,-1,-1,247203,-1,478330,-1,-1,646674,-1,547381,-1,-1,-1,912304,986170,-1,-1,-1,-1,-1,833968,-1,838634,234008,-1,-1,-1,72614,-1,889172,-1,124650,-1,-1,696128,-1,178601,616506,-1,523250,758138,174686,-1,595244,-1,207420,967023,352837,-1,-1,-1,190234,449035,-1,217451,639701,672984,491175,-1,-1,-1,-1,218037,62970,747459,248233,518064,924547,759286,731040,328037,-1,-1,-1,728372,487842,-1,564397,-1,-1,-1,-1,-1,655534,281002,806794,665980,487104,44612,-1,-1,333266,420524,48892,928029,861930,914486,-1,5469,-1,-1,-1,87051,122721,439085,217945,192509,199262,-1,-1,60996,778029,104200,-1,191685,282101,-1,-1,668527,32512,911259,-1,144034,179524,928839,483466,339132,681737,930392,791200,956242,925322,177188,-1,4014,143060,842419,406732,471525,-1,-1,-1,-1,276987,204467,-1,803645,17166,100080,-1,393327,-1,339476,155160,242701,-1,67977,-1,-1,-1,745521,-1,-1,976419,-1,671457,783247,-1,-1,568016,752396,751800,321899,-1,-1,431058,-1,406028,-1,-1,22343,-1,-1,-1,731954,126638,264955,-1,973880,-1,-1,-1,858663,131753,494578,433153,-1,-1,-1,750016,669735,144625,308726,51506,69693,-1,-1,759003,792081,-1,58244,-1,920675,-1,389994,-1,813005,-1,-1,245007,-1,482394,-1,-1,-1,123129,419694,288337,-1,251930,633283,528074,-1,803214,70900,-1,788629,557919,914711,-1,152064,-1,-1,964946,349593,-1,-1,912505,-1,-1,-1,-1,-1,-1,282279,-1,-1,639219,-1,-1,-1,565374,-1,954157,-1,562983,-1,394664,-1,674022,747621,126237,743096,70515,-1,861880,680747,834929,-1,600542,75254,697039,351081,590556,-1,-1,-1,-1,530873,107946,688339,-1,-1,447060,-1,444611,-1,-1,-1,-1,114560,744990,39875,-1,-1,-1,887249,57894,341584,571997,331348,684335,540707,705681,151142,-1,-1,510482,228121,-1,-1,-1,-1,761011,313762,-1,-1,-1,-1,-1,605758,895253,-1,-1,-1,475478,584580,209673,755553,-1,-1,833491,-1,13493,-1,342272,-1,108632,68047,140741,-1,-1,590599,-1,393703,743257,-1,-1,-1,-1,169025,806959,-1,-1,-1,917729,414956,-1,104295,-1,987485,580796,860029,327849,-1,424216,121000,-1,959490,363417,601894,-1,777401,-1,-1,761510,145951,-1,382377,-1,-1,69911,575013,-1,259243,977292,-1,-1,907396,-1,-1,456374,808824,227746,258755,292763,-1,-1,-1,59797,-1,-1,399272,234481,-1,37319,341140,564282,487517,-1,666099,-1,271661,567130,-1,-1,-1,457854,-1,428873,846078,-1,992220,-1,721747,-1,568247,192761,288964,377481,36146,495992,-1,768867,824348,416839,-1,-1,797323,-1,-1,172963,661133,651693,469116,266831,-1,-1,-1,202729,13258,533020,-1,562588,-1,710741,-1,858591,-1,-1,425593,509262,-1,-1,-1,-1,189732,804621,-1,-1,895736,-1,434466,554003,22025,-1,-1,671150,950301,-1,-1,-1,280036,-1,343218,333472,266923,-1,283115,-1,-1,91499,-1,423230,-1,-1,-1,661159,446043,-1,236827,17237,56293,582990,751664,176677,-1,-1,-1,-1,640044,-1,-1,-1,132773,29791,772604,-1,-1,-1,216746,590800,-1,665388,402144,73037,354319,-1,387622,36648,941014,-1,804187,752217,-1,465550,-1,-1,-1,-1,411619,287396,566400,-1,87451,-1,203592,177674,466992,415639,-1,-1,340864,348703,-1,347280,414764,-1,-1,193709,515712,565703,-1,191408,892248,-1,-1,15550,272260,732593,101751,-1,-1,8823,-1,308818,-1,775359,-1,-1,477513,662608,-1,734893,-1,514471,-1,-1,257100,-1,-1,198990,-1,102355,67333,79510,-1,14977,543246,-1,247321,62461,869208,-1,952959,-1,526869,-1,595072,-1,-1,299750,254805,801047,-1,-1,-1,-1,639023,-1,890946,617609,106648,-1,468658,474308,-1,391240,858799,605015,-1,15132,-1,-1,418548,863753,203450,-1,927845,271537,416246,-1,-1,600603,-1,-1,-1,288308,127815,2796,-1,465405,393487,378625,-1,474790,-1,-1,-1,505332,985193,535074,-1,-1,189519,-1,942332,910381,-1,-1,483154,905237,-1,265917,-1,-1,549503,438947,-1,-1,-1,-1,53618,-1,262927,837120,-1,232926,-1,565535,-1,-1,-1,816877,610492,-1,-1,-1,-1,-1,-1,624423,609708,872480,-1,-1,55070,-1,-1,380885,-1,-1,-1,881203,869318,529136,-1,-1,622909,379598,104123,902478,-1,487280,269650,905445,-1,467726,-1,-1,922507,-1,555488,-1,352347,-1,58205,-1,-1,-1,-1,275876,175561,-1,335391,-1,575604,-1,-1,-1,743183,-1,915480,-1,-1,416505,-1,-1,-1,-1,-1,-1,569510,493502,343769,795953,128983,352883,-1,-1,-1,-1,-1,71237,674399,-1,15223,-1,-1,934743,-1,-1,-1,414532,-1,-1,473665,628474,-1,-1,-1,-1,717722,-1,54040,727794,632352,886611,-1,816946,933248,-1,731971,-1,838975,808819,-1,123122,279707,171645,-1,555645,971283,482948,-1,-1,937620,776974,-1,985590,986649,-1,847232,-1,-1,72586,595769,517023,240132,-1,619623,179129,491699,352959,927939,527459,21337,935747,147511,-1,924706,630535,421075,812995,-1,-1,382595,346528,851110,-1,51862,-1,-1,-1,-1,-1,487390,-1,502450,-1,284755,-1,1641,355122,168175,843359,584696,-1,673009,-1,-1,-1,-1,451512,-1,115947,-1,179468,607779,859193,-1,755106,-1,711427,959189,-1,344212,512176,792823,-1,681664,81781,-1,-1,-1,738186,100948,984357,-1,-1,-1,-1,-1,-1,-1,446852,597493,37437,130849,448181,289119,-1,621609,-1,257179,-1,504098,964542,-1,-1,-1,-1,151259,726788,-1,556155,581362,83021,-1,576438,-1,782800,-1,536958,-1,-1,-1,-1,894437,-1,-1,-1,-1,556924,-1,801412,792471,511955,183391,722489,786859,518472,648410,396046,149162,-1,-1,921034,432905,-1,222383,-1,-1,-1,15540,-1,-1,343505,-1,-1,723909,-1,479053,703171,130846,-1,-1,533682,-1,-1,-1,-1,478148,238497,-1,608513,-1,334398,-1,-1,-1,-1,948798,819069,-1,619373,891489,-1,679538,858838,273018,-1,-1,-1,-1,62236,-1,541265,-1,562244,336469,333994,701954,-1,338517,582587,-1,362945,533387,-1,449919,262500,647571,777555,-1,-1,-1,-1,-1,487680,35337,967641,-1,472424,517375,-1,825726,-1,740767,-1,-1,-1,-1,332405,-1,-1,-1,255521,-1,-1,-1,-1,-1,-1,547034,-1,-1,-1,436792,148270,4775,876700,660733,301533,-1,326538,741934,-1,-1,-1,857429,538468,-1,-1,825531,-1,-1,-1,-1,521170,-1,495230,281936,-1,200751,-1,263318,-1,177352,266200,-1,182669,475762,-1,-1,616187,-1,882108,-1,874650,-1,-1,-1,-1,955139,-1,873566,-1,-1,-1,709886,823302,361352,-1,-1,-1,-1,766489,705601,-1,353574,881602,-1,691228,-1,-1,181812,634435,461287,-1,-1,420958,683229,-1,-1,444266,9365,932915,-1,-1,996656,-1,-1,940106,711879,496802,227287,398824,141366,-1,430677,-1,-1,-1,-1,-1,-1,-1,-1,-1,317156,-1,443520,198701,-1,522818,-1,410834,-1,793413,649677,-1,699475,776794,-1,-1,127032,937486,-1,806735,-1,-1,980596,685350,263418,-1,-1,754792,-1,387553,-1,451609,-1,158380,151773,404363,-1,-1,345243,671266,759352,-1,-1,391228,511985,-1,-1,915613,-1,-1,-1,-1,-1,-1,-1,-1,-1,33349,796324,-1,-1,423736,670090,-1,-1,-1,-1,625480,137620,-1,632374,273045,-1,-1,-1,-1,-1,180173,-1,543900,-1,-1,727072,895202,641829,-1,913129,-1,-1,262025,-1,-1,56908,-1,-1,-1,-1,-1,926791,-1,14183,-1,-1,80003,-1,238316,-1,-1,-1,-1,57522,-1,-1,-1,-1,597899,999086,499994,18060,-1,577443,-1,-1,22743,347197,-1,-1,-1,910376,-1,852942,493900,104538,609619,-1,-1,-1,827771,-1,-1,-1,428214,370448,922912,511943,633235,-1,-1,853298,405003,930605,-1,287629,-1,157771,966148,108500,-1,81939,-1,755584,798465,-1,40939,-1,382417,-1,-1,-1,286792,-1,925832,99624,943352,137858,-1,-1,421677,488456,-1,161189,379906,685139,624822,-1,-1,-1,-1,520838,423673,-1,-1,-1,608140,287455,769104,-1,92516,-1,-1,-1,-1,315044,630806,-1,545432,-1,-1,-1,-1,569126,-1,413877,-1,300892,248700,868462,689305,-1,440227,804525,-1,688859,639401,-1,-1,-1,-1,-1,238667,306328,-1,-1,264834,-1,-1,209223,737207,-1,-1,-1,-1,-1,176440,-1,-1,-1,-1,178578,-1,66791,534167,-1,979256,-1,-1,-1,732895,-1,-1,-1,163657,-1,81056,516127,-1,451886,-1,-1,522483,-1,257852,391159,843491,-1,174645,-1,-1,812691,-1,549717,-1,87076,466704,506938,-1,860445,259975,933588,601742,179792,-1,-1,-1,892506,825160,653069,-1,-1,503124,-1,-1,722382,-1,-1,-1,840853,-1,732709,-1,-1,383336,-1,-1,783216,-1,309953,507569,-1,-1,-1,882928,490342,-1,-1,97736,-1,-1,775052,918020,-1,-1,81904,-1,-1,790200,-1,519139,316702,671545,138761,161929,-1,45283,450653,-1,814060,-1,-1,169545,899571,185567,827165,-1,737011,-1,-1,-1,165079,-1,593700,876368,-1,-1,595618,67858,417751,392313,-1,-1,-1,48840,-1,8354,-1,-1,110604,91407,470943,-1,-1,470460,-1,-1,-1,143401,243243,144776,-1,335918,-1,573157,261892,-1,23341,51881,-1,-1,-1,8987,984452,-1,-1,-1,594163,804454,209771,343037,-1,-1,906827,-1,817516,-1,-1,-1,-1,789577,321122,248140,-1,907887,117472,-1,-1,-1,830699,779899,-1,61798,-1,958263,619768,206917,-1,975592,650317,876229,216026,385403,-1,567427,-1,237286,126829,302897,-1,-1,-1,888099,322820,264595,398381,-1,-1,-1,-1,-1,323665,-1,262185,349441,-1,57241,967725,-1,413710,-1,-1,463726,765264,-1,597870,-1,-1,-1,-1,-1,485013,-1,326714,-1,827580,685531,-1,-1,956104,168694,-1,-1,-1,625628,-1,-1,-1,75652,744098,783539,-1,26394,-1,755851,371564,667261,-1,487657,742141,-1,865880,985835,-1,871086,192989,824303,571830,-1,-1,-1,-1,-1,444906,605205,906002,335037,-1,22980,-1,-1,795740,356141,57110,-1,220848,901258,689947,213512,-1,-1,870,428618,362883,117526,-1,-1,-1,378022,-1,-1,-1,927622,-1,-1,-1,760565,437421,-1,503838,-1,534726,-1,955002,318000,408875,634368,-1,4573,346925,-1,-1,-1,167425,877640,335087,60761,835424,205823,685638,-1,-1,146253,378014,-1,629780,365074,15201,-1,-1,-1,965840,66288,773232,102291,-1,245689,-1,792328,341801,207010,479060,-1,-1,-1,-1,-1,516159,575157,603465,376919,-1,707940,921641,-1,207797,891931,-1,-1,-1,381051,-1,519562,599677,769930,-1,-1,854669,888152,-1,654316,-1,424427,992859,268681,664339,-1,-1,985817,268185,968185,-1,16300,616390,-1,-1,902056,718725,999009,59276,-1,-1,-1,481086,745401,37591,-1,-1,148369,775524,-1,244108,143053,140437,552072,701078,-1,306671,289347,363690,425810,985746,-1,863776,753896,571399,47489,-1,-1,-1,638274,-1,-1,-1,-1,512849,-1,-1,210168,-1,-1,-1,-1,353083,-1,-1,-1,379518,473365,972171,-1,-1,591641,260055,658670,-1,-1,419184,656085,225341,645828,-1,-1,-1,-1,-1,912500,-1,-1,-1,412303,929996,308646,-1,-1,-1,-1,-1,-1,-1,489395,91276,-1,888966,-1,-1,98354,52602,-1,-1,206362,376309,-1,-1,-1,-1,-1,-1,-1,-1,816733,-1,-1,454463,40856,-1,376952,813691,108135,-1,301034,917866,-1,964720,923173,85143,528359,46587,-1,-1,-1,-1,-1,-1,-1,-1,-1,753498,-1,-1,191556,439258,-1,-1,831760,921772,247769,-1,934738,-1,-1,861652,200657,-1,879202,355493,-1,975517,499155,823867,908700,-1,488975,-1,5808,636938,59710,-1,-1,-1,-1,-1,594334,-1,-1,-1,614695,408026,-1,853151,-1,276667,-1,-1,-1,-1,176763,-1,140546,41192,-1,321818,-1,-1,543003,-1,-1,743361,-1,-1,-1,676539,-1,385079,-1,179014,238478,653010,624930,-1,130425,342331,336648,321964,875676,552126,-1,-1,-1,-1,898802,414675,871593,-1,781378,-1,-1,-1,-1,60084,-1,92231,-1,-1,-1,427802,539637,520039,-1,-1,-1,-1,-1,-1,802889,467176,-1,852726,32230,756344,-1,167827,-1,978462,-1,131024,-1,499863,-1,-1,377877,759665,-1,464209,-1,404012,-1,20267,872020,903577,-1,913156,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,149949,-1,-1,815059,-1,-1,-1,-1,713475,-1,338694,287405,-1,-1,622537,-1,-1,797542,383267,939571,832893,-1,-1,929204,-1,183491,984598,-1,755695,4033,-1,-1,370259,237881,157672,-1,-1,-1,-1,-1,-1,278665,-1,-1,-1,-1,232718,986495,-1,778068,184403,554964,-1,-1,764274,-1,-1,701106,-1,-1,968913,810720,922323,41255,314556,-1,235527,78991,119541,700701,26036,-1,508032,601634,159595,840569,-1,970781,885751,588904,280580,10698,-1,893722,-1,-1,-1,-1,319826,242673,-1,-1,8200,655783,152229,753548,-1,-1,-1,69819,702986,-1,-1,-1,-1,718490,-1,-1,-1,-1,-1,-1,-1,490116,-1,-1,245924,976073,-1,475775,-1,63314,449427,702528,611430,108160,41852,-1,-1,-1,493029,520525,-1,-1,999497,-1,917752,-1,-1,-1,-1,630160,398361,-1,-1,323819,-1,-1,-1,-1,634388,344193,217581,34864,695471,785887,639983,154586,-1,515933,74116,428867,-1,561227,918139,-1,-1,-1,-1,107690,-1,-1,-1,735006,84779,-1,949625,-1,816015,-1,685831,-1,-1,966126,-1,-1,367796,-1,-1,-1,-1,-1,815125,-1,-1,823429,491381,535915,-1,786866,602221,-1,-1,260926,228298,429210,930544,349701,-1,690912,634052,666624,437709,849889,155062,297224,91638,-1,973740,16460,-1,-1,-1,-1,-1,-1,548903,437701,-1,-1,525316,-1,853328,-1,-1,-1,-1,643294,-1,-1,-1,54844,480104,-1,182003,768634,333277,-1,-1,236046,-1,-1,-1,-1,-1,250989,-1,-1,936579,-1,-1,-1,-1,-1,-1,-1,-1,-1,327286,-1,-1,415597,-1,-1,-1,107899,-1,-1,-1,-1,-1,-1,-1,-1,-1,79348,-1,-1,368655,749943,458764,-1,739562,252787,309943,619084,984595,615881,-1,741500,-1,843903,-1,-1,-1,950218,-1,768012,963905,143855,-1,427305,-1,963821,396676,774661,562807,152028,838386,375202,-1,758611,843296,76325,-1,-1,-1,-1,270180,-1,492686,438479,734159,97365,523900,-1,-1,-1,-1,-1,-1,-1,827299,630665,844241,-1,-1,495690,531310,-1,-1,963464,791810,258163,-1,200859,432646,-1,-1,960038,-1,-1,600791,-1,-1,736586,830229,-1,-1,100364,-1,990190,188715,-1,614359,963648,616630,-1,-1,-1,880383,-1,-1,747543,-1,793226,694476,-1,903597,-1,-1,264717,-1,480670,-1,-1,-1,-1,-1,-1,-1,47067,-1,622684,432546,-1,-1,184009,615604,322813,6736,336422,238850,371639,727005,-1,-1,29560,-1,778991,-1,857652,310032,877900,-1,-1,135804,-1,-1,-1,-1,446946,-1,-1,-1,335107,85208,296755,734256,21519,-1,455027,-1,909352,-1,-1,-1,-1,-1,-1,-1,194741,879191,267800,-1,-1,414818,-1,326796,-1,910074,-1,-1,-1,-1,-1,922879,-1,-1,-1,219459,-1,539328,-1,-1,-1,813151,-1,-1,216357,-1,-1,994164,842369,-1,-1,-1,-1,-1,375968,43230,-1,-1,-1,56119,-1,639881,-1,-1,989376,278494,230019,197401,638750,941415,435406,-1,194322,-1,702087,354005,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,37704,427946,842320,-1,-1,864176,-1,541868,595056,598445,-1,-1,125068,627830,325565,-1,-1,691304,-1,924456,-1,-1,-1,785652,-1,524832,-1,284739,977391,754299,-1,653547,497931,248886,-1,-1,665956,-1,-1,158598,173749,-1,262759,917941,204504,287463,-1,-1,402490,446640,-1,-1,516765,-1,-1,-1,-1,788916,-1,-1,68755,498141,-1,589240,-1,279248,168001,-1,780209,-1,-1,-1,219000,-1,-1,-1,361453,-1,99826,609590,134856,566829,-1,216179,-1,-1,959190,299127,962287,-1,-1,-1,769096,-1,371109,243455,535891,-1,490840,361389,-1,-1,-1,881239,-1,560043,-1,425860,-1,-1,-1,-1,-1,312847,745276,-1,-1,-1,-1,-1,454304,263479,385848,-1,693032,-1,-1,147277,285518,-1,-1,-1,-1,439999,-1,-1,-1,84097,-1,-1,-1,-1,-1,198033,-1,386954,-1,16317,279100,-1,-1,580617,709008,-1,660035,554066,97284,-1,-1,731059,80623,853517,-1,125422,-1,586035,392609,261440,-1,-1,-1,-1,975049,-1,-1,-1,-1,571612,-1,-1,616932,-1,583276,-1,749511,-1,833079,304759,-1,553741,598891,-1,-1,998463,-1,-1,-1,507236,-1,617998,-1,177662,611109,505903,630483,-1,-1,-1,-1,-1,-1,-1,614723,897230,-1,311006,-1,303282,676086,190527,17493,-1,176127,-1,-1,-1,-1,-1,-1,-1,-1,459085,-1,758209,58551,-1,200210,148754,-1,-1,843513,235978,-1,845431,-1,426601,-1,488251,942778,-1,492998,927420,610167,418690,-1,-1,-1,444281,659096,291905,504794,-1,311626,395340,363351,-1,589378,-1,937478,-1,446170,802003,671550,-1,-1,531136,-1,728383,-1,-1,568914,-1,813674,-1,26455,-1,-1,-1,-1,-1,67217,81158,-1,-1,815576,-1,-1,74130,833533,-1,-1,179350,-1,50117,-1,304836,508552,493713,448248,-1,650925,458370,105041,-1,830763,535650,648254,209908,812622,-1,860549,-1,363649,361334,605929,793782,-1,493600,-1,-1,457365,500048,-1,728729,902053,604441,145967,879651,966442,-1,-1,-1,-1,-1,184302,276493,-1,875378,-1,219143,887469,-1,-1,-1,811287,556216,424917,894731,189677,-1,412165,-1,-1,300007,-1,317501,-1,867496,976213,-1,654481,962461,945084,-1,-1,-1,412998,644614,762814,-1,-1,-1,284043,280084,322551,50908,-1,-1,310739,679316,263330,-1,-1,383668,900462,-1,-1,-1,904532,289053,729458,-1,-1,-1,-1,440111,-1,683814,260362,670508,314747,392222,846930,984109,-1,-1,-1,-1,-1,520316,687119,-1,-1,-1,695717,-1,495366,833146,897297,788794,469622,-1,874598,305259,-1,208945,565505,-1,-1,-1,201606,-1,183934,-1,-1,-1,511779,-1,747349,-1,-1,668943,-1,80924,204606,-1,-1,676076,-1,-1,759960,417770,-1,73460,-1,761845,-1,4274,-1,900961,-1,-1,-1,-1,-1,794536,551563,-1,811195,166524,485182,37846,999523,-1,983082,-1,259576,-1,15004,-1,316755,651444,750716,-1,947228,195418,490737,-1,-1,-1,-1,323924,402344,-1,694276,714136,-1,-1,-1,715347,458237,-1,-1,143217,-1,304943,-1,745916,-1,810772,139319,-1,143908,280763,-1,618763,-1,-1,-1,911684,933964,-1,774010,353056,915984,-1,-1,-1,-1,-1,-1,38294,53309,-1,-1,-1,-1,494755,377287,-1,-1,-1,-1,739253,-1,822054,-1,940393,66205,-1,336674,677682,625644,192979,-1,-1,752951,-1,820279,-1,-1,-1,-1,-1,984639,-1,-1,89196,810490,751977,-1,245123,39015,-1,-1,40812,827078,604342,-1,-1,287123,-1,447402,-1,29497,-1,181922,-1,85411,-1,-1,-1,-1,868180,-1,-1,-1,487738,-1,-1,-1,-1,55895,-1,-1,-1,318467,719567,244770,268403,-1,377687,2033,-1,781420,484748,-1,603773,-1,-1,-1,597726,-1,531641,-1,-1,-1,339822,111972,-1,120765,739362,-1,287578,565059,-1,-1,482884,803321,954759,-1,703467,272459,214945,350839,-1,773314,13410,-1,707989,-1,898078,-1,-1,-1,394800,-1,778399,996863,752074,-1,-1,737994,236500,239575,-1,219288,926220,94325,-1,-1,71933,-1,-1,184318,-1,408804,139835,108268,249112,-1,828253,-1,711830,-1,190503,233041,-1,-1,729786,437428,-1,809835,825858,518771,834622,-1,545490,223838,-1,891181,-1,-1,-1,609243,408052,635443,14980,404796,-1,447384,109233,-1,875938,356585,-1,-1,433534,438631,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,571130,875345,825268,-1,442488,685367,-1,331231,-1,292306,710383,768542,241342,639516,-1,200922,261653,-1,-1,487319,-1,434425,-1,-1,-1,-1,-1,508890,-1,-1,-1,884968,25975,-1,-1,-1,-1,-1,-1,402008,-1,160618,97956,-1,994272,-1,931670,-1,-1,181863,864756,-1,622921,708685,624941,-1,221052,-1,659481,148923,411151,780169,603270,773263,-1,657260,27405,-1,-1,-1,-1,-1,-1,737692,-1,-1,66971,-1,972180,115148,243555,-1,-1,860570,-1,-1,-1,293963,166678,260972,536792,-1,-1,-1,463830,-1,274887,-1,953135,-1,527607,641924,-1,-1,-1,-1,-1,725246,-1,987449,207587,887775,131238,161912,-1,-1,558959,859173,-1,-1,-1,-1,772471,-1,384149,-1,815702,-1,754707,588746,-1,61574,964780,-1,-1,567075,863682,-1,564764,229568,-1,-1,738156,-1,-1,-1,985597,785321,-1,43741,-1,-1,-1,237645,-1,-1,-1,731175,793200,69482,-1,834551,-1,-1,323592,-1,531435,790607,-1,71079,64917,572476,698334,-1,958593,562718,645648,-1,-1,157354,513938,684851,486271,838505,450772,968210,-1,442302,876155,-1,630795,-1,-1,-1,31923,697822,372176,160189,-1,-1,202160,-1,55859,644021,642553,-1,-1,-1,-1,986638,-1,174335,803422,705322,-1,-1,-1,-1,89441,-1,-1,43842,932717,-1,-1,79174,-1,-1,540179,732119,29422,912236,660559,-1,-1,-1,670891,-1,805818,-1,569060,381596,-1,321980,-1,-1,-1,298554,34158,855313,-1,859784,200612,-1,-1,-1,70860,-1,275803,502569,-1,195007,-1,-1,-1,-1,492027,-1,646318,711397,479647,-1,-1,-1,832237,539560,959201,-1,485130,868466,295858,472039,-1,730593,698999,390963,112427,-1,-1,827588,218110,-1,212306,880380,108104,-1,96018,-1,-1,379553,512179,868401,-1,-1,-1,-1,677007,225990,-1,-1,-1,417470,725796,659156,-1,-1,-1,270116,822049,-1,581614,-1,795520,-1,520866,-1,137190,958317,499972,-1,275090,-1,-1,129498,-1,641042,159959,-1,544167,-1,636674,410302,-1,65490,-1,190335,915875,500063,372653,-1,875127,483684,-1,371569,-1,-1,93236,-1,408448,-1,740445,395968,-1,-1,115340,-1,947068,834074,-1,-1,-1,810388,-1,393810,902728,588954,-1,-1,-1,-1,390524,-1,-1,-1,-1,228350,208143,355364,-1,84910,62516,-1,365318,174775,-1,499641,660061,704315,526192,864337,-1,694136,-1,-1,303284,-1,-1,-1,-1,368113,-1,-1,327236,644484,302568,-1,-1,974876,512400,718794,-1,-1,991957,704486,475581,-1,570558,-1,377597,-1,-1,-1,565662,-1,453370,-1,162906,390584,575139,513241,-1,41563,710076,805849,-1,469306,-1,524109,-1,330386,-1,-1,119874,-1,535409,-1,-1,833725,-1,-1,789083,500051,-1,-1,-1,267055,-1,-1,679276,-1,402563,124486,611860,874900,-1,-1,-1,300269,100655,-1,777966,157374,867041,-1,645258,-1,-1,-1,705837,-1,-1,762792,-1,711131,-1,-1,732804,327364,-1,365907,60374,583350,465658,199957,-1,-1,-1,394556,34803,607301,181147,-1,810939,-1,811035,115475,-1,-1,803765,536917,475931,-1,90391,-1,-1,664600,694169,251698,515727,-1,567578,301566,-1,660706,625248,-1,-1,895597,486430,350757,-1,942236,-1,378113,236724,432230,902820,-1,615525,885267,929838,-1,-1,-1,-1,-1,503660,891162,138480,-1,-1,-1,672297,651867,835400,-1,209429,-1,754951,-1,850520,-1,135297,399816,820994,301568,-1,-1,907764,-1,50485,-1,592911,-1,669644,-1,36257,620388,732726,-1,-1,-1,-1,-1,96783,129718,-1,89911,142182,-1,-1,217907,-1,-1,351344,81790,292703,388122,480869,700877,49808,306648,406541,725690,126112,121319,-1,-1,-1,-1,-1,391197,-1,-1,50194,-1,504186,968008,-1,532846,-1,37767,-1,940587,-1,168747,-1,186952,-1,783045,-1,-1,-1,798365,-1,208942,498515,559582,734795,862477,-1,-1,-1,-1,-1,461853,595555,63677,-1,-1,-1,-1,128347,-1,460947,878736,254194,-1,222703,983188,-1,-1,486874,547890,-1,873547,259170,-1,-1,-1,-1,63763,-1,614611,-1,698463,-1,-1,15399,988936,-1,381962,-1,583575,-1,35736,-1,583677,-1,668470,883066,-1,453675,204066,394936,546240,-1,710213,-1,545953,-1,939371,-1,153253,-1,-1,-1,-1,-1,-1,-1,702428,902513,939281,-1,-1,434624,-1,-1,85927,41061,-1,553835,609201,-1,-1,254313,-1,276634,-1,-1,-1,746722,-1,-1,-1,785227,-1,855850,150568,-1,-1,-1,214750,737758,663278,950865,343967,110051,556950,470182,-1,-1,892185,-1,835604,-1,413344,-1,596457,-1,306203,-1,168558,-1,789396,-1,263184,-1,-1,-1,881463,-1,275455,-1,-1,384099,607112,-1,485560,430107,-1,-1,-1,588020,67357,-1,-1,-1,-1,-1,654428,-1,-1,271228,58786,652097,-1,909245,-1,519712,-1,-1,385092,553830,346948,565626,-1,325714,469324,661353,-1,-1,695198,-1,-1,-1,340409,960554,38276,347462,969923,-1,43648,236870,479636,-1,-1,-1,183329,-1,-1,-1,-1,-1,-1,-1,252390,-1,967312,-1,-1,113344,688478,260084,-1,-1,361214,-1,-1,-1,192190,-1,-1,-1,-1,161528,-1,255790,954926,-1,48748,840817,34818,11165,-1,725523,-1,-1,422847,-1,-1,203647,-1,738729,-1,615411,-1,884036,402328,44893,-1,-1,-1,-1,963339,-1,-1,733558,928958,-1,455040,-1,78905,-1,-1,837032,153978,10590,741610,-1,-1,-1,608659,56856,-1,319287,419559,-1,741161,699812,-1,467739,-1,293727,719155,163338,680718,677735,978917,-1,765795,4496,-1,-1,705410,-1,857772,158575,-1,48540,-1,-1,-1,-1,846391,-1,384082,545775,851309,-1,925230,-1,-1,-1,-1,-1,-1,-1,52056,-1,-1,-1,301098,-1,50222,408191,919892,912734,-1,-1,-1,-1,-1,947498,-1,-1,627200,-1,669769,33763,274089,-1,-1,-1,805467,-1,-1,456907,-1,-1,103081,817227,-1,90872,721340,-1,718951,-1,-1,-1,992263,-1,703807,-1,-1,-1,-1,-1,268355,964207,275387,-1,201870,737112,-1,130327,-1,-1,242692,482410,-1,-1,-1,-1,624792,-1,-1,-1,-1,844258,686142,-1,-1,-1,395264,935447,90481,-1,-1,683526,75944,-1,930092,756587,-1,-1,-1,-1,-1,-1,-1,-1,797659,-1,66650,77518,923680,-1,237194,-1,-1,639220,587815,635062,673285,-1,-1,-1,-1,253434,329938,-1,-1,-1,-1,-1,265464,-1,596431,-1,-1,-1,-1,455830,-1,401819,-1,784498,300512,938566,713687,908912,-1,-1,216466,-1,158715,-1,-1,-1,47797,685639,-1,776582,212504,907501,466896,-1,-1,-1,-1,-1,-1,-1,-1,873400,-1,-1,-1,-1,152160,567864,753825,752061,273264,-1,494,-1,293487,-1,-1,514458,-1,117623,-1,-1,-1,553301,796306,133542,-1,436657,-1,145419,-1,777125,-1,756857,730669,-1,646951,-1,-1,129811,-1,-1,868353,212057,106039,-1,923815,-1,664621,883713,363252,-1,661296,818378,34285,417769,-1,-1,142873,-1,112030,430189,-1,-1,-1,-1,-1,567115,802231,141788,642634,-1,-1,-1,334609,858413,-1,203067,-1,141610,-1,-1,502799,164901,768963,-1,142184,256714,908137,674039,-1,595255,936885,466326,989088,346350,453837,-1,919662,-1,872368,-1,-1,665607,215073,942445,489038,-1,-1,482343,313007,-1,358126,-1,-1,111672,-1,-1,424601,839026,50218,-1,237461,260003,548193,91429,-1,-1,-1,144429,-1,-1,-1,-1,-1,70318,-1,-1,-1,828402,944457,-1,-1,373950,405644,1143,43915,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,62387,-1,795948,484648,489655,-1,344805,-1,-1,-1,-1,-1,256111,-1,751750,-1,885041,570353,-1,-1,246753,401898,-1,666522,807593,-1,-1,-1,598686,-1,-1,-1,204830,-1,824823,-1,339591,-1,-1,-1,-1,-1,-1,344733,-1,86067,-1,140167,-1,962682,-1,30819,606705,-1,621345,-1,-1,-1,679267,884886,307058,51703,126249,28588,-1,-1,294065,-1,-1,-1,-1,923445,-1,-1,836927,-1,403915,487057,482168,502406,515226,-1,823096,-1,-1,-1,-1,998176,750054,619700,-1,304082,372643,953402,895596,703776,40616,-1,-1,670968,-1,-1,117931,646760,938370,322928,447642,658555,-1,-1,-1,628382,-1,-1,215557,-1,695802,836895,374282,-1,-1,783290,-1,-1,627600,986076,-1,-1,-1,749670,819780,783154,40455,57221,-1,312510,-1,-1,-1,719872,-1,973259,-1,160464,858880,-1,167743,416078,905000,-1,-1,382165,-1,316460,548238,-1,119894,927554,967560,-1,-1,930059,-1,856876,118874,6937,-1,183451,-1,-1,441645,865641,100310,672709,835499,-1,-1,201742,840994,926827,3311,-1,162548,-1,-1,860858,412871,-1,996747,-1,-1,-1,-1,423837,-1,-1,-1,-1,-1,250478,-1,-1,133832,203606,767648,783704,-1,-1,760092,-1,38382,-1,-1,-1,102199,117033,795772,875198,-1,-1,517858,571333,705559,341753,866828,-1,-1,-1,-1,784331,-1,-1,628185,-1,612464,259876,241516,939496,453445,-1,-1,-1,-1,469906,195957,175398,974147,-1,626665,3833,-1,415376,781856,28807,-1,-1,25067,-1,740826,-1,944566,724181,-1,-1,-1,-1,465306,594526,260623,-1,-1,562088,-1,506917,674510,-1,-1,-1,-1,980923,-1,-1,926425,716665,522353,884347,-1,989272,394073,-1,326484,221221,-1,-1,-1,622422,-1,181122,-1,275763,-1,464361,694821,210375,715114,92121,983564,962346,-1,-1,572801,-1,243446,-1,652516,-1,-1,86795,652302,102569,78384,88755,-1,80588,363622,-1,-1,-1,-1,-1,-1,-1,-1,265548,-1,-1,554780,739458,-1,285738,-1,476146,-1,172507,-1,-1,-1,597156,408243,544865,959095,-1,-1,-1,174376,242961,-1,-1,940097,52716,888494,-1,764898,859856,122443,807921,165134,-1,452883,-1,-1,282943,-1,-1,495311,-1,427144,-1,-1,746748,369935,-1,940397,-1,802910,558601,646323,-1,-1,-1,-1,339008,-1,-1,679800,17597,-1,-1,-1,322698,543009,357929,-1,817782,212093,-1,-1,-1,-1,69091,-1,401314,-1,-1,-1,381296,987527,-1,-1,59137,-1,-1,-1,-1,-1,475453,717198,245621,99598,345207,-1,-1,-1,550606,-1,-1,-1,-1,958800,-1,167574,-1,-1,96512,-1,436785,-1,-1,674566,865925,-1,743604,955234,499690,-1,864255,636273,-1,817785,710066,-1,548537,-1,628825,498386,69226,109339,-1,-1,-1,-1,480036,-1,-1,270770,400263,-1,-1,-1,-1,-1,-1,20780,-1,158408,-1,797292,724793,731111,644857,-1,-1,891816,-1,-1,-1,-1,460626,68984,467450,948850,-1,834130,142451,979124,-1,774001,928045,-1,-1,-1,-1,-1,950757,-1,349809,333295,425314,293089,500715,86521,-1,627810,346258,559518,367500,-1,-1,220800,-1,-1,317299,-1,-1,939928,-1,232074,-1,-1,-1,715199,-1,75651,-1,-1,-1,179507,520756,-1,968107,-1,-1,544683,899619,-1,478841,-1,-1,774898,-1,321183,-1,-1,234095,892989,-1,456959,359867,-1,831067,-1,711612,41994,774883,696983,428753,-1,-1,189442,-1,-1,-1,527050,54960,737540,-1,54068,619693,-1,-1,973258,-1,-1,888585,205407,425355,-1,395225,-1,311327,-1,348384,-1,587879,460587,-1,649231,-1,936650,602198,618751,422731,-1,-1,371538,-1,-1,104598,-1,151591,-1,438852,604237,-1,-1,-1,466236,-1,107130,-1,737760,522212,-1,-1,-1,-1,554809,-1,263223,-1,515331,-1,46318,892549,764987,-1,-1,-1,-1,-1,681769,98497,-1,-1,-1,133270,-1,-1,12676,-1,280814,-1,-1,324341,238610,-1,661086,345700,-1,634096,-1,-1,-1,-1,-1,633039,99503,-1,549548,-1,-1,158054,-1,-1,838070,367414,-1,-1,-1,106247,367938,-1,-1,748558,-1,-1,719358,-1,-1,-1,-1,614777,27295,920350,814372,507413,-1,459889,-1,-1,616871,639290,-1,-1,-1,379127,939503,697665,943102,-1,-1,-1,357483,-1,344248,-1,514781,820099,-1,183430,48524,835103,474330,600483,-1,-1,-1,875218,694559,-1,-1,114803,503829,-1,-1,605137,401239,-1,-1,145823,324965,693746,452286,-1,-1,-1,789347,-1,979248,280555,-1,694133,-1,-1,-1,398825,-1,722679,797151,-1,675910,-1,986548,430182,827730,-1,-1,-1,-1,159592,332535,-1,612601,-1,-1,233651,939949,-1,12815,-1,-1,-1,427304,90542,237444,-1,862722,-1,208366,-1,440208,149556,-1,-1,596242,-1,-1,482154,435386,-1,772834,780921,517578,333401,7231,794904,-1,142722,456594,847394,-1,-1,-1,527435,433531,-1,-1,149272,-1,-1,205720,-1,-1,-1,-1,235158,890247,345312,-1,-1,571497,-1,723637,-1,631765,-1,-1,-1,350960,-1,32791,54195,-1,-1,645562,-1,928229,-1,-1,-1,337751,335371,-1,-1,-1,883981,-1,907709,337680,193198,171830,481685,-1,-1,-1,-1,929130,-1,-1,635624,817580,522028,-1,-1,27063,-1,-1,-1,300091,-1,-1,816172,-1,-1,517666,818388,-1,475163,944641,28764,-1,-1,-1,411861,-1,884748,207341,-1,-1,-1,-1,669535,28998,128473,910872,-1,-1,954236,-1,-1,-1,-1,-1,961652,-1,-1,-1,676414,-1,366533,952231,-1,-1,35022,-1,695277,33664,-1,699166,856315,-1,-1,-1,405129,246188,-1,-1,-1,-1,-1,288,-1,-1,566182,-1,334828,-1,-1,-1,-1,577194,-1,-1,-1,246748,-1,291827,454436,-1,831045,-1,487946,-1,450452,-1,669571,-1,176765,191686,926214,11132,-1,625226,726471,-1,663883,-1,336944,279023,662306,510614,-1,664546,-1,-1,-1,-1,494226,523697,408004,456304,-1,-1,-1,582672,954762,-1,711817,247171,-1,261848,83933,543522,996377,298656,-1,-1,297560,-1,955237,-1,-1,633777,-1,-1,-1,798627,496958,699883,690071,-1,641257,716452,-1,538237,51197,-1,737699,-1,683981,928628,202657,470798,-1,-1,255294,178870,236990,544500,525372,395479,-1,729582,810294,-1,949628,439989,746530,76471,-1,-1,-1,-1,-1,653360,430208,-1,51753,330035,-1,823043,-1,641174,667393,773194,-1,739836,248822,200028,-1,781632,380232,748278,607904,-1,813680,-1,347350,-1,-1,-1,-1,429641,378086,-1,455805,477439,-1,239683,-1,-1,-1,580974,63743,859892,66920,-1,129460,-1,-1,-1,823680,520179,635063,283381,-1,591356,-1,640816,108271,-1,-1,815301,109348,-1,980044,-1,282026,740614,-1,709990,-1,70887,268056,738620,-1,-1,540489,-1,-1,-1,-1,568481,-1,910317,-1,-1,-1,955295,-1,-1,940623,-1,-1,511926,593765,-1,559703,903702,623692,988959,998255,-1,-1,312820,-1,26854,421524,-1,-1,261991,-1,459985,678237,-1,-1,-1,-1,-1,-1,-1,974344,-1,-1,-1,-1,647768,931999,-1,-1,-1,-1,-1,678648,336402,739314,402182,470032,-1,-1,92048,872078,991550,-1,102690,-1,-1,-1,-1,901285,336943,692927,-1,-1,602328,163704,837381,966799,86834,-1,884414,-1,-1,68382,-1,578559,-1,-1,-1,864458,60026,810925,466536,-1,225094,-1,561875,-1,-1,7433,116336,-1,60279,-1,552876,-1,-1,-1,-1,506237,189791,-1,-1,841082,-1,747914,-1,-1,165643,-1,805681,-1,-1,389578,794053,-1,-1,169763,-1,419225,-1,496422,-1,-1,56802,-1,-1,63255,59564,-1,308509,674668,-1,-1,162921,326660,684305,-1,-1,-1,-1,-1,786161,-1,-1,-1,801553,899109,862882,-1,-1,919203,438898,740127,630649,431899,494598,988117,-1,-1,-1,-1,482897,-1,525723,-1,529809,595994,-1,-1,504034,372079,-1,704588,385714,-1,741847,-1,625459,-1,166880,-1,171642,-1,-1,333284,928359,-1,-1,-1,-1,-1,873139,-1,-1,-1,-1,815707,-1,682037,-1,644059,390276,344953,854771,96876,-1,255758,-1,-1,-1,721808,-1,-1,63263,762270,-1,-1,-1,688003,-1,-1,210809,799623,260601,511815,-1,719842,-1,828360,-1,599784,-1,768293,-1,-1,-1,-1,-1,543668,532781,489020,807968,62433,650,-1,-1,998160,-1,855615,-1,821292,819760,-1,-1,959348,-1,-1,-1,523375,-1,338470,-1,-1,-1,624678,503658,698543,-1,390248,-1,-1,930093,607812,521705,264922,-1,261562,391462,370136,-1,129345,401451,753549,-1,112733,-1,-1,103837,971664,-1,-1,-1,-1,-1,-1,576898,607337,554510,48248,-1,-1,-1,685662,-1,-1,225597,-1,-1,-1,281957,-1,-1,384215,-1,154238,-1,525932,-1,-1,-1,-1,855795,-1,713990,287415,-1,-1,-1,-1,709158,694808,893822,972348,-1,332613,50986,832161,525464,-1,928714,467878,-1,-1,732588,244612,-1,343186,-1,567600,-1,806513,-1,-1,198586,912284,-1,-1,204117,843964,780862,-1,937080,385008,587059,-1,-1,965798,-1,380084,-1,951861,66863,-1,-1,682762,651604,643976,861441,-1,999576,540320,899507,803040,944436,-1,885340,819619,742809,475127,761258,696188,-1,-1,-1,111003,370860,-1,722306,-1,-1,275802,-1,685918,-1,97859,-1,-1,86920,-1,27328,-1,-1,-1,324104,231004,591971,-1,257511,599000,290297,-1,670216,-1,-1,125514,-1,378769,813715,-1,-1,599196,-1,-1,-1,-1,-1,907959,-1,737055,-1,-1,-1,778813,-1,519404,-1,-1,88732,710099,434828,888547,583158,835459,-1,-1,818120,-1,-1,163825,-1,638970,743815,229383,980993,41932,394340,239702,459599,233056,-1,210602,958391,-1,-1,-1,794384,552666,740443,-1,-1,655865,485073,278130,-1,-1,362173,-1,-1,-1,786105,293106,187320,534832,-1,-1,-1,-1,452498,-1,751137,914187,842544,600282,695698,-1,965022,-1,-1,-1,-1,-1,-1,-1,158528,858684,-1,-1,88222,-1,-1,535680,280485,-1,327989,-1,-1,539947,385495,302936,-1,-1,354001,-1,-1,940838,-1,-1,444406,-1,-1,465923,358091,-1,-1,-1,-1,-1,533631,-1,974311,634525,666533,-1,356807,372689,809291,199964,-1,-1,-1,706942,711821,839215,-1,321706,742334,397022,-1,-1,722093,376885,594874,-1,133110,726390,-1,-1,740273,-1,442477,-1,92334,-1,633368,-1,-1,154074,865428,-1,422803,366485,-1,998454,-1,-1,731108,-1,-1,602666,563538,706411,61366,-1,10235,-1,531778,-1,-1,275431,872311,503059,618110,-1,-1,848612,342584,498406,805017,87185,751828,-1,-1,-1,-1,-1,-1,512577,496203,-1,-1,555358,-1,99725,-1,489076,774914,654006,-1,313303,889832,750046,807678,-1,18312,539533,-1,773633,762339,-1,185303,-1,291440,718873,-1,-1,806901,-1,191565,-1,179085,-1,-1,254489,763631,172130,787071,191999,-1,-1,-1,-1,495128,-1,-1,699199,-1,971077,-1,347944,510196,698307,-1,882063,367221,-1,326401,-1,716642,-1,154482,999282,725880,689914,-1,-1,133243,-1,-1,734126,678394,-1,-1,-1,514022,-1,-1,-1,-1,-1,-1,338061,-1,873045,341324,521720,-1,-1,892942,563717,77,-1,-1,-1,-1,-1,289547,-1,-1,186278,822912,615997,-1,702299,207897,-1,-1,421224,-1,-1,926204,169859,-1,-1,826541,-1,946733,-1,-1,544344,-1,-1,588574,718122,922914,908653,950924,45071,-1,-1,399815,-1,-1,37459,225262,607061,-1,713629,187902,784878,-1,-1,-1,-1,97474,367010,539262,-1,23468,88741,742353,165200,-1,-1,-1,-1,-1,-1,-1,-1,882773,221020,-1,-1,472286,88117,465438,332400,712126,131203,-1,658737,-1,-1,-1,149107,126587,144081,-1,434394,-1,-1,367088,150408,-1,695905,179214,149973,402044,219305,600290,-1,-1,-1,739215,69195,-1,209473,658498,-1,-1,790029,-1,-1,-1,-1,711883,-1,615648,314327,846838,-1,540422,869872,-1,874937,-1,-1,317869,664777,981318,331227,367299,20082,-1,901233,370430,-1,-1,-1,-1,-1,543824,224433,989154,-1,186344,983865,943835,698969,501339,-1,109616,-1,-1,-1,18257,382,788922,766322,-1,392096,-1,-1,644142,274296,856131,314397,348221,105262,598429,732488,652873,-1,588275,984153,661714,730031,-1,-1,969737,-1,-1,508019,-1,626838,-1,791619,-1,398884,36210,-1,499113,240733,-1,411882,-1,460758,831245,443308,-1,261433,-1,224375,-1,478453,85550,-1,781292,250307,972490,-1,-1,556390,768943,-1,-1,970650,-1,-1,570480,-1,268497,-1,-1,317862,974700,-1,819383,979947,-1,-1,-1,874570,-1,-1,-1,381375,-1,199406,-1,792122,973655,765239,-1,416423,62916,5930,-1,642672,-1,-1,680541,-1,676886,599914,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,415414,537774,-1,408115,-1,-1,393276,9191,-1,493636,-1,-1,-1,-1,-1,-1,761683,-1,222748,-1,427084,-1,-1,332739,-1,743888,-1,117915,647182,557620,-1,-1,-1,-1,-1,-1,376021,-1,-1,-1,-1,16679,813889,-1,929691,-1,-1,511428,-1,-1,15817,-1,-1,-1,328446,-1,996217,-1,-1,117917,-1,-1,-1,-1,497228,594882,-1,-1,411857,132335,-1,-1,-1,647444,-1,492187,665798,82464,-1,728113,818534,59650,-1,-1,41949,-1,880596,878704,-1,-1,-1,-1,297348,310677,848622,-1,426159,-1,-1,-1,632605,-1,-1,475278,340417,-1,348218,58772,-1,775998,774812,422753,137120,-1,-1,-1,-1,157409,-1,-1,-1,624733,-1,967362,270135,71704,-1,964547,408491,-1,350225,122110,909162,453918,-1,-1,681655,709312,14896,544045,701355,-1,-1,-1,983413,-1,491260,-1,806267,936975,-1,319573,566219,-1,-1,-1,639772,784153,-1,-1,343342,-1,21535,199342,-1,-1,-1,-1,-1,-1,473617,745262,551426,70169,-1,378607,472287,-1,-1,468999,988756,-1,-1,-1,-1,308685,594144,-1,-1,715561,576428,116203,-1,899112,788459,-1,939431,-1,489371,-1,-1,681050,-1,-1,-1,387024,116181,-1,-1,42658,-1,180097,902390,192008,639883,-1,-1,-1,-1,901711,-1,629705,361662,392814,-1,408575,-1,-1,695425,578010,-1,-1,641926,-1,566259,590938,-1,-1,75448,-1,-1,-1,810172,613731,203292,-1,-1,-1,-1,-1,138617,-1,-1,7275,931169,-1,509269,-1,421230,-1,156774,404152,-1,-1,-1,505105,-1,-1,771240,928862,-1,731891,-1,-1,-1,-1,161888,-1,-1,829470,647973,260673,667953,507168,-1,756562,697585,-1,293291,-1,924878,-1,140140,320382,187641,51009,-1,-1,-1,620383,-1,815386,498990,857006,-1,993131,890545,-1,-1,468329,-1,-1,-1,959805,896862,-1,166590,-1,953643,-1,404575,-1,658623,-1,519550,553400,-1,436765,-1,-1,-1,978151,989337,656270,522736,-1,-1,458323,700178,-1,76179,191759,668601,737332,-1,350020,699083,-1,-1,-1,-1,894021,-1,-1,-1,196804,-1,-1,722024,-1,565935,-1,582697,-1,-1,-1,653803,-1,175236,-1,662341,347695,-1,-1,-1,328403,-1,81032,-1,949734,495906,-1,376412,559784,-1,-1,-1,61792,-1,664156,611680,-1,732927,-1,-1,-1,751764,281229,306184,940264,-1,877751,-1,533256,-1,59230,474713,-1,-1,919745,292465,920410,404266,237498,518376,882011,-1,-1,-1,464796,359949,-1,620555,-1,-1,742496,-1,-1,421134,119681,293396,406253,-1,-1,607519,471188,-1,-1,238915,-1,340229,-1,-1,-1,698370,486315,993487,43797,-1,-1,-1,339434,517823,376375,343126,159340,-1,-1,905498,185836,465614,65568,699528,756123,827680,-1,627902,658167,448329,-1,-1,-1,-1,700575,-1,-1,50244,943203,290672,140012,-1,887612,429756,182654,351763,103641,-1,904318,-1,73915,-1,-1,393595,-1,-1,-1,-1,-1,383911,219854,-1,-1,232796,319426,179064,226305,957887,276111,707390,764241,-1,-1,-1,-1,651226,729236,-1,-1,684517,-1,204147,-1,-1,990250,-1,-1,574198,501724,-1,145201,-1,-1,570497,13944,-1,-1,114625,-1,396356,-1,-1,361893,912909,322784,-1,532468,-1,161955,-1,865765,-1,-1,-1,406767,-1,-1,-1,999427,-1,782263,-1,943636,606125,-1,669486,652591,-1,-1,-1,141850,-1,564343,146322,-1,832204,-1,301453,879439,-1,-1,809752,609501,392868,61194,-1,228409,943666,358673,50847,286615,-1,657202,777584,406535,-1,-1,787540,-1,-1,43625,-1,-1,-1,388463,-1,-1,951997,719105,-1,-1,-1,-1,334394,316694,284322,660763,-1,-1,313230,-1,891417,480556,-1,310025,667780,62107,962218,-1,55175,-1,955052,581022,885610,348868,996766,862007,-1,254038,-1,-1,875068,-1,-1,650477,629367,-1,-1,-1,-1,16153,516676,926486,89621,-1,759945,-1,995269,789824,827053,-1,-1,603034,-1,-1,628178,-1,-1,69694,-1,-1,-1,-1,-1,-1,199415,493359,-1,-1,972911,969476,20325,-1,550660,-1,853214,404869,-1,-1,652122,438518,-1,-1,858556,-1,-1,-1,-1,868050,-1,266777,243922,-1,85931,-1,788873,-1,994280,-1,-1,-1,952061,-1,53124,-1,476036,729022,423239,50240,106997,-1,-1,110571,-1,102061,-1,549298,694490,83611,494788,-1,-1,302949,-1,-1,-1,-1,-1,703540,-1,-1,531135,141210,699260,-1,-1,830379,420287,475342,-1,642108,-1,-1,-1,-1,893961,905432,-1,-1,314606,548427,641426,-1,-1,847602,-1,-1,710994,122695,364923,-1,-1,-1,676084,745622,-1,415412,419421,256802,-1,-1,699376,449514,-1,-1,910589,-1,600862,-1,-1,-1,-1,805145,220460,-1,-1,751214,-1,-1,386257,613323,952561,856968,681963,158508,-1,-1,-1,124132,155267,965395,485640,451913,-1,-1,-1,-1,-1,-1,731063,881456,-1,3062,-1,167908,300595,-1,-1,-1,-1,-1,212488,-1,-1,-1,347092,-1,300751,771707,-1,455286,-1,34142,-1,478495,868702,564246,-1,-1,987582,778108,-1,576023,85939,94667,504636,986870,274745,789304,44724,753357,-1,-1,542117,518389,-1,376105,-1,147714,656802,652849,-1,-1,-1,-1,744648,-1,-1,833087,94787,-1,-1,-1,-1,-1,631651,-1,68433,254900,255011,944390,-1,926015,-1,-1,-1,785578,-1,171363,-1,712589,-1,-1,-1,328179,-1,354153,-1,-1,729534,-1,-1,-1,292045,141497,-1,-1,-1,-1,-1,-1,83320,-1,308716,-1,917862,270613,805125,334301,269441,928676,-1,143745,-1,990153,-1,-1,-1,378004,-1,-1,-1,145776,960572,-1,916269,324989,-1,90778,466660,-1,188417,973416,-1,62346,-1,202273,489536,-1,-1,859761,-1,-1,-1,141094,926292,581300,386357,193305,-1,-1,81355,-1,-1,-1,816086,427588,507502,-1,120256,748522,-1,-1,577475,770183,-1,956006,222325,-1,-1,-1,738228,835555,-1,-1,450345,-1,870891,-1,-1,81177,780296,345697,-1,-1,441882,492676,444,-1,24541,824314,149130,8746,-1,-1,674796,-1,-1,-1,347370,-1,-1,282493,-1,-1,-1,-1,275602,355531,882266,818789,484527,877306,-1,-1,473499,319952,936468,-1,757755,699756,358972,-1,-1,339724,536194,114939,786457,-1,361182,153157,930629,-1,-1,620956,-1,635452,172216,166788,-1,-1,101065,-1,-1,843477,-1,-1,105526,18024,566563,-1,304918,-1,205010,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,351028,-1,-1,988384,983888,-1,477788,581293,156970,392365,59645,-1,-1,-1,-1,429424,492668,-1,-1,-1,626679,-1,624074,505205,-1,181678,662466,645861,-1,489994,-1,-1,-1,-1,-1,471248,-1,-1,-1,725379,-1,-1,8642,601606,555407,-1,595905,338761,860284,-1,-1,410533,-1,-1,-1,237773,-1,140703,76310,-1,255911,911012,422512,-1,-1,-1,74591,891398,843144,196874,288245,-1,630916,-1,445597,-1,-1,274620,-1,756821,-1,781537,-1,-1,366665,746806,674213,58297,192630,393638,-1,311452,562808,-1,166351,568282,-1,287790,-1,-1,-1,-1,-1,394981,-1,-1,-1,-1,-1,-1,-1,997538,13765,-1,-1,354851,-1,528676,-1,158610,366042,-1,-1,-1,-1,970719,-1,-1,861104,624924,376601,-1,-1,636034,-1,-1,-1,960981,800450,-1,681544,-1,738549,201434,685416,-1,63827,111951,453808,582863,-1,166948,-1,199455,-1,374594,-1,-1,698549,-1,263059,262120,266375,973070,507825,-1,793569,-1,-1,843521,370309,-1,-1,685274,762574,-1,748463,230903,-1,950048,920856,405153,938901,119759,45699,-1,700264,-1,727571,159413,-1,56446,192073,-1,-1,69251,236059,280769,-1,197751,-1,-1,-1,-1,-1,-1,-1,261178,814579,488046,926180,-1,-1,-1,442471,-1,-1,-1,652662,828136,250035,-1,-1,-1,-1,-1,389545,-1,186563,-1,-1,-1,-1,427816,-1,44811,-1,79200,-1,-1,250659,222135,-1,650023,486783,-1,-1,-1,-1,-1,-1,-1,638123,-1,-1,-1,545442,-1,367672,723112,-1,452962,-1,591380,580639,-1,-1,-1,275393,494997,199470,136740,-1,48448,-1,-1,-1,-1,-1,-1,237755,546111,-1,-1,-1,-1,746514,889607,-1,705931,-1,404639,-1,922806,863407,-1,-1,579903,-1,210109,-1,344752,303728,243237,-1,350940,953622,-1,-1,-1,752708,-1,823112,736325,782698,-1,-1,-1,-1,284800,512555,-1,574097,115419,991238,634121,-1,-1,-1,439011,329047,110579,939980,414466,-1,-1,196368,619955,-1,-1,-1,687166,762212,-1,-1,189698,-1,852227,-1,880607,-1,-1,-1,818358,-1,-1,-1,458651,-1,958922,752307,-1,328752,561109,754109,-1,841569,682557,-1,218742,-1,600613,292069,-1,345732,111462,12088,106852,-1,-1,916833,502908,122304,709947,-1,720739,619425,-1,388419,671044,-1,230163,247763,-1,825915,7392,-1,926051,-1,279992,-1,-1,8863,729749,-1,-1,-1,995404,895688,-1,-1,141968,-1,-1,429308,706665,-1,332737,49882,-1,454762,601404,-1,-1,33046,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,702651,994225,-1,337582,804277,671087,-1,-1,133459,581160,-1,-1,-1,678301,-1,878727,859633,-1,242912,-1,32286,764286,275790,746324,-1,-1,525433,-1,166323,-1,193320,-1,776593,-1,-1,-1,435461,282169,-1,-1,360115,-1,-1,239364,-1,-1,-1,-1,204845,540828,-1,397551,-1,520364,521100,-1,-1,-1,78204,-1,287191,-1,-1,870266,248540,-1,37523,498775,-1,-1,114666,91116,221462,575099,-1,-1,763846,-1,566740,294823,-1,-1,-1,-1,733919,809962,738090,-1,-1,644320,684372,-1,-1,-1,-1,934567,-1,899401,791166,591457,938283,-1,207159,-1,336467,-1,530903,-1,-1,-1,-1,-1,24236,677063,-1,576874,-1,-1,838074,998211,659809,371124,408184,642421,-1,-1,-1,11441,-1,552214,397185,-1,222268,435321,308468,83489,129216,-1,472343,827433,-1,-1,-1,-1,-1,-1,210603,-1,655777,444129,97802,-1,905811,-1,-1,-1,3903,57673,625762,-1,-1,288440,942790,772073,68947,993804,-1,905587,-1,861100,568499,315391,-1,-1,807216,-1,728379,275441,497516,-1,336153,122424,-1,-1,239745,-1,-1,-1,745950,329966,267153,-1,-1,-1,-1,530506,-1,-1,186140,-1,873452,-1,76538,-1,139075,473429,-1,634990,-1,693199,-1,970239,-1,703480,3793,374288,-1,-1,315527,-1,-1,893463,8596,-1,-1,431117,-1,761091,163949,846092,845854,15263,-1,-1,-1,787464,-1,882708,-1,-1,-1,-1,338608,-1,613049,132920,-1,-1,915251,-1,-1,-1,773934,571350,122210,-1,-1,621795,216460,-1,29414,62058,119865,-1,555045,775158,731843,557316,561383,-1,187256,604290,612710,775233,163830,276881,-1,-1,60626,-1,783189,-1,274033,373300,-1,-1,-1,150850,262191,576062,503993,328749,-1,-1,-1,773020,-1,-1,-1,-1,-1,-1,99883,983961,707764,-1,-1,896613,-1,-1,-1,651581,-1,479313,-1,734528,598132,-1,47332,363369,813486,-1,882747,50408,-1,223886,594610,343626,-1,-1,806363,-1,978760,-1,-1,628758,-1,-1,272354,-1,576239,-1,328463,69430,-1,828728,-1,262640,-1,621525,-1,-1,25248,-1,-1,827438,-1,-1,159509,558938,739667,98936,-1,730074,878271,607555,-1,351207,-1,-1,621933,185759,44605,-1,-1,-1,-1,-1,439637,820262,35137,771042,218285,-1,-1,63330,-1,-1,689879,-1,124047,-1,-1,-1,-1,-1,52954,908574,-1,481691,509076,298475,-1,573821,310326,161863,-1,815915,898238,969452,739605,-1,371328,-1,921342,333686,270373,767580,-1,53811,536982,-1,951993,-1,-1,132713,-1,887500,929786,423039,-1,-1,-1,-1,-1,-1,58127,-1,563309,-1,57941,629686,-1,162602,673200,-1,455373,539343,537120,597116,480186,780626,873794,845053,558743,-1,-1,-1,-1,-1,352968,873334,366316,-1,-1,123818,-1,-1,-1,935770,563429,542050,600543,469650,-1,-1,-1,263141,425637,-1,658335,804238,150474,150282,922969,423592,-1,708662,-1,-1,207534,-1,24048,-1,50703,-1,-1,-1,837747,712523,-1,-1,586725,462376,-1,-1,216598,-1,809547,277926,-1,70249,-1,-1,78852,-1,838581,-1,197104,-1,-1,509738,864357,-1,466462,-1,-1,283546,-1,-1,-1,-1,291804,457650,703226,332515,-1,-1,-1,606694,-1,-1,706748,206549,-1,693515,-1,-1,-1,583176,259097,557065,-1,-1,-1,-1,-1,-1,964908,-1,-1,-1,-1,243305,743736,-1,161794,317631,-1,-1,-1,-1,-1,524630,-1,-1,138360,-1,-1,146033,-1,-1,196225,175919,-1,-1,982598,795132,-1,-1,503913,872010,58625,812911,343675,951589,203085,574982,-1,823843,753301,-1,-1,636861,330958,-1,644733,-1,-1,-1,425763,-1,-1,-1,909262,-1,-1,-1,-1,-1,-1,350631,624730,-1,815601,-1,-1,-1,356863,485876,-1,-1,438138,666272,-1,572300,-1,-1,-1,-1,322162,541305,-1,698149,-1,-1,-1,365606,993910,957029,-1,-1,76778,-1,819269,193826,89271,979973,997759,431617,-1,557940,-1,964925,212666,294538,-1,951794,330864,843955,-1,213337,-1,-1,-1,112191,967031,-1,44377,-1,397008,853297,126559,-1,857990,703167,-1,-1,872975,-1,648381,-1,-1,-1,-1,-1,-1,-1,-1,551698,-1,966562,717027,-1,573557,656502,-1,814367,-1,154272,-1,-1,-1,291488,-1,-1,258319,-1,957388,197097,431908,481620,-1,-1,561363,-1,-1,-1,-1,-1,-1,223503,-1,279666,573239,267040,-1,-1,-1,183770,364107,980889,628194,9941,540772,518234,-1,-1,48357,876080,62180,-1,-1,-1,-1,206429,-1,164774,-1,294706,-1,72543,826370,941706,-1,226719,986417,948027,-1,40169,985636,76834,218900,938863,-1,-1,-1,789750,-1,439563,171596,-1,-1,-1,737238,-1,-1,610730,829115,-1,698720,799527,988608,-1,-1,-1,-1,640929,-1,558090,467217,143040,-1,511055,-1,729592,536370,-1,481904,-1,849820,-1,34434,-1,235366,393966,-1,-1,-1,-1,-1,827341,161910,419569,-1,409988,-1,-1,-1,-1,447385,260437,-1,-1,-1,-1,-1,170844,-1,-1,990605,303201,909363,-1,-1,-1,807848,-1,535642,-1,658059,-1,-1,392701,707291,932354,-1,919705,-1,991729,807478,-1,-1,95311,76143,-1,-1,-1,788934,-1,320182,685917,-1,779315,-1,683613,942125,-1,-1,-1,465535,271028,235457,-1,375773,301880,-1,290617,845970,-1,-1,329536,-1,-1,591862,194874,-1,431070,376763,437646,627617,-1,795942,276424,318998,-1,869442,-1,315612,-1,760810,-1,224718,-1,129855,995802,-1,43420,-1,-1,-1,-1,-1,71626,484285,839310,699248,-1,-1,-1,879174,-1,-1,812975,829531,488118,594891,-1,-1,262283,-1,768412,364770,886468,-1,-1,49909,-1,398638,678138,802272,-1,-1,-1,973719,-1,-1,-1,54522,474321,-1,557924,729015,956778,895334,756847,974604,-1,194233,913801,494872,-1,-1,2935,680417,-1,158853,577700,479896,-1,428546,-1,900593,777213,818845,779434,752199,970491,-1,-1,753200,137543,-1,-1,-1,-1,-1,448551,885529,145517,378860,-1,86077,345740,-1,334048,-1,691628,94666,345872,-1,728210,223748,913379,-1,-1,52671,-1,-1,794224,-1,-1,504761,334005,759377,826293,916528,547290,989795,-1,118076,77327,-1,-1,889840,-1,344226,-1,-1,-1,55007,121229,691954,-1,198225,533236,-1,226049,105610,989662,-1,405421,-1,-1,729040,-1,432391,679010,295025,528726,294787,754260,959982,-1,-1,-1,629447,441553,-1,-1,-1,-1,-1,77234,273834,-1,279680,-1,246417,327799,-1,-1,341902,266003,-1,-1,202556,-1,290901,-1,-1,76533,-1,439165,908304,334688,-1,903029,957850,92118,121357,196152,727650,-1,985996,-1,907868,-1,-1,-1,432956,264475,50399,-1,-1,672049,-1,208308,290979,699179,187869,-1,-1,931916,-1,609162,842596,-1,-1,-1,-1,516660,-1,-1,628326,-1,477345,365569,-1,581408,747238,-1,-1,-1,-1,408270,-1,482729,-1,377259,887756,56837,784360,-1,575026,871187,-1,465175,-1,-1,719140,966060,-1,951910,-1,753769,-1,-1,-1,-1,784134,-1,29014,750360,-1,-1,-1,852905,583219,-1,562541,508018,-1,3538,87095,-1,-1,-1,-1,754499,-1,-1,972931,-1,101557,3386,688534,710177,52502,-1,899413,371879,-1,-1,-1,478485,949704,944664,-1,619029,-1,-1,420919,-1,-1,889006,-1,430928,367587,-1,305511,528155,-1,637561,-1,-1,-1,-1,-1,372081,251928,91104,545699,975557,534898,499008,-1,-1,713719,-1,510684,630015,-1,-1,338563,345984,-1,640975,-1,-1,-1,-1,-1,-1,285773,550447,182035,-1,-1,6702,282271,815733,373007,63286,824889,866512,964332,814361,-1,-1,427517,-1,555269,323850,-1,864635,-1,-1,103626,-1,30843,437307,-1,-1,-1,-1,-1,-1,248146,589974,56655,447500,62629,423822,21870,649230,-1,865807,286305,138579,885050,-1,353978,-1,-1,734801,-1,648815,-1,-1,584697,-1,310680,268466,916489,-1,-1,794553,-1,389761,790836,56175,232127,-1,-1,-1,439195,-1,101582,-1,687556,-1,-1,-1,-1,-1,905502,-1,-1,-1,-1,-1,-1,513034,451722,274261,-1,-1,-1,-1,219670,-1,-1,-1,256640,360961,566595,-1,167896,-1,-1,328669,919645,883218,-1,217770,814890,-1,575979,-1,473345,-1,-1,-1,903130,69473,-1,982521,-1,367584,673372,297323,-1,391932,-1,352480,901114,-1,-1,659673,112991,-1,-1,503915,80907,66952,-1,-1,676230,269906,169021,-1,36450,-1,275905,176378,-1,806568,-1,584267,513982,-1,-1,-1,-1,-1,-1,482589,-1,612418,133978,955454,-1,235675,-1,-1,-1,716563,-1,-1,-1,197240,-1,980341,-1,534048,-1,495644,703660,952967,840976,641120,-1,-1,-1,-1,387698,709510,38866,232790,905300,-1,362766,817903,960626,-1,-1,344658,-1,-1,898017,-1,200773,-1,125744,-1,-1,-1,-1,405955,387171,84374,546492,606501,-1,-1,-1,-1,-1,996587,-1,-1,-1,331933,-1,454370,-1,120125,-1,675621,330077,-1,-1,698571,-1,-1,-1,-1,666741,-1,-1,-1,-1,75433,-1,774364,979376,523542,199628,295501,-1,528823,41853,-1,264356,144420,746870,841721,339510,-1,964840,140566,-1,-1,-1,330480,-1,561814,644696,145693,845967,354194,-1,-1,233625,790588,728974,563922,-1,614022,944517,-1,-1,234415,-1,-1,382269,358181,123483,-1,469290,877703,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,436481,-1,-1,780048,-1,357106,-1,-1,145477,900380,969382,-1,595951,643170,997332,-1,50173,973606,-1,345137,183112,-1,571507,576819,-1,-1,971690,-1,-1,-1,709690,-1,407771,207363,558292,192371,-1,-1,-1,-1,-1,129666,-1,675781,271235,-1,-1,-1,999004,-1,-1,-1,240134,547148,-1,-1,-1,129505,68832,-1,908661,650585,826642,545790,714569,165250,86467,-1,943867,799781,-1,695390,-1,761436,816693,613907,506538,-1,164634,656567,-1,-1,283791,-1,-1,585612,-1,-1,-1,-1,514236,938439,841842,825017,538092,8853,-1,-1,455661,-1,-1,229860,760560,-1,930795,-1,807815,716501,282690,225144,-1,359843,-1,88526,-1,674883,652937,-1,-1,772684,37714,-1,-1,608987,607154,-1,254903,500963,615327,-1,81216,-1,602564,718321,-1,350948,42436,-1,-1,802222,-1,80295,-1,-1,-1,450453,567674,655303,-1,-1,-1,-1,907039,-1,-1,648468,-1,157097,919028,-1,356285,-1,757752,-1,-1,425829,748277,404194,674648,-1,-1,-1,-1,732695,277179,43005,-1,273482,829608,953750,-1,-1,660942,-1,335076,442153,-1,971192,-1,-1,529283,793273,603483,-1,565975,811839,-1,592529,-1,-1,-1,736144,68663,547751,699527,871592,-1,62654,-1,-1,277056,39776,398484,-1,937524,795823,-1,797207,-1,-1,466316,-1,873317,474409,-1,-1,677444,857917,-1,499588,523187,-1,-1,286404,661160,-1,961535,-1,-1,591883,688170,743167,408142,508871,533976,643996,305530,538257,-1,-1,99147,-1,-1,-1,458470,638926,171310,784070,649122,722794,-1,379845,229360,-1,449834,-1,140771,86029,-1,132418,310605,50474,937417,446707,-1,736803,-1,-1,305628,-1,632326,437009,-1,483592,841645,804585,699984,291076,395248,503118,-1,106810,415355,-1,599249,285444,777434,66687,-1,-1,451269,-1,-1,-1,-1,-1,159681,-1,157662,-1,341222,-1,767310,-1,939875,33392,-1,128393,-1,-1,-1,-1,106835,539701,-1,-1,318738,-1,-1,-1,-1,-1,639507,833695,777825,59722,688710,114196,-1,97438,636591,-1,-1,-1,687371,-1,144976,-1,588933,-1,-1,-1,-1,632336,541688,-1,194661,-1,-1,513249,164130,-1,-1,-1,470278,-1,219468,964433,180352,410610,-1,-1,-1,729030,-1,496990,-1,792288,77975,9493,935428,908368,906285,-1,516449,-1,972420,681863,-1,-1,-1,740463,3987,-1,163987,887219,968633,661677,-1,522484,-1,129422,-1,336681,318334,968367,924277,724146,607431,-1,842634,499459,765928,245224,-1,938049,242714,-1,732365,-1,-1,-1,-1,790958,-1,571200,473422,-1,-1,-1,528338,16840,149752,-1,429094,-1,864792,-1,718244,-1,751376,768001,-1,943218,-1,-1,326921,59267,130190,-1,855899,155176,723199,-1,594972,450200,-1,77157,356309,-1,-1,-1,43423,-1,748799,-1,977933,868518,543401,-1,-1,-1,17065,-1,401615,630987,589955,721608,-1,-1,732578,-1,208899,-1,24509,954662,702524,-1,-1,-1,-1,-1,-1,928574,-1,-1,-1,851924,-1,-1,-1,251174,-1,-1,919949,646266,-1,539471,113752,-1,-1,685000,622227,948544,169281,-1,-1,-1,649208,359379,-1,-1,102,79147,533229,642847,820854,-1,-1,905154,647268,288195,-1,667849,440651,-1,50774,-1,638381,643647,-1,-1,-1,550130,560739,-1,454453,664223,295273,173673,266241,467828,-1,600256,-1,993146,-1,701424,881443,264652,33042,362742,447200,912740,384596,866392,868554,314309,439066,653933,939347,788393,-1,-1,748617,975857,-1,41686,492329,-1,539045,-1,820054,-1,25964,195021,-1,593861,680861,-1,759000,-1,-1,-1,541765,817515,-1,948197,146008,117339,-1,662976,-1,-1,489530,863778,-1,957931,683605,-1,-1,-1,-1,126354,12782,-1,-1,-1,900776,317728,-1,-1,-1,-1,-1,760117,632610,640157,-1,-1,162860,-1,327039,826758,791779,458471,703350,993251,492167,329887,-1,575344,874593,-1,-1,-1,877019,269513,-1,-1,867282,798703,285506,511680,558803,864441,180128,-1,414741,981379,442741,-1,328830,-1,684935,395278,586479,749707,-1,821128,105171,707953,-1,-1,-1,952878,159784,706493,-1,676034,-1,571103,-1,-1,-1,45529,-1,574116,-1,-1,539938,327944,448563,493213,235801,-1,-1,311611,612706,657070,-1,776899,6087,39805,-1,-1,-1,-1,882965,-1,-1,953468,-1,-1,735551,371555,-1,138507,-1,-1,635413,21426,-1,-1,-1,373580,-1,634653,747012,-1,-1,855688,839319,-1,466918,-1,580315,567630,43038,-1,834782,620341,991918,782650,-1,861275,679616,513310,410719,710312,-1,789786,-1,-1,-1,-1,-1,699808,681093,347103,-1,7006,259736,989506,423753,536615,-1,-1,302488,-1,-1,-1,-1,-1,896035,483117,663526,761092,-1,554360,394329,-1,-1,-1,349169,-1,212565,856542,422041,-1,690956,-1,451489,264436,751199,106232,95007,512873,168938,820190,674280,473353,256135,696887,140184,-1,919812,-1,-1,-1,927516,-1,354706,135849,243517,729994,-1,-1,-1,646134,25333,-1,394802,-1,237545,-1,156480,-1,-1,-1,-1,427999,418223,889085,-1,759579,873617,693763,-1,-1,634458,912339,-1,-1,-1,-1,879781,190816,245928,-1,989391,538386,861692,-1,997086,71283,-1,500510,-1,-1,-1,594844,492396,-1,-1,800849,557467,-1,5060,775400,-1,880311,-1,-1,-1,295439,874171,1836,616115,6004,145679,-1,-1,900214,831316,-1,527348,-1,-1,747157,-1,848748,-1,975680,926605,-1,-1,82154,-1,904968,-1,374292,-1,354547,656987,45642,-1,393566,101580,525888,-1,-1,-1,855477,-1,816064,126029,397787,485390,-1,458797,35362,-1,-1,-1,-1,-1,369356,-1,-1,-1,-1,-1,-1,642823,-1,201087,243410,-1,139386,-1,-1,680939,-1,772028,967113,465018,215339,-1,-1,440023,-1,-1,461772,519217,288614,-1,-1,429929,83901,-1,-1,972936,403648,363452,-1,794488,205054,-1,-1,-1,868933,-1,-1,-1,289787,-1,766595,-1,537713,108767,291681,424590,873284,570543,-1,-1,-1,948929,-1,505979,858074,-1,395302,-1,627847,435924,133991,588595,786328,-1,538485,319788,745463,-1,986329,279928,533736,417334,966978,-1,448816,80806,906570,915691,658267,433441,-1,13631,639294,240050,-1,968183,161449,639884,680610,874729,209796,-1,169304,-1,906033,-1,-1,403236,-1,771489,-1,931635,544386,-1,949840,566012,389873,809981,441016,306583,-1,438828,947704,-1,-1,-1,574061,-1,-1,76640,-1,459784,237114,-1,928119,-1,533853,723680,-1,-1,36432,-1,318930,234889,174325,-1,209876,110726,-1,-1,-1,112070,-1,710885,680777,-1,517200,828736,-1,50701,946336,928881,-1,-1,-1,544073,-1,584638,-1,29239,405426,917329,677860,-1,-1,-1,-1,-1,-1,911709,-1,-1,332915,416076,-1,-1,55796,684210,-1,-1,-1,39769,-1,20488,-1,258624,-1,619848,902289,-1,753510,-1,-1,-1,660455,-1,-1,282158,-1,-1,125375,825060,735709,12365,-1,-1,-1,645478,-1,-1,-1,41139,-1,449014,-1,-1,-1,401222,-1,7372,123329,-1,-1,-1,-1,-1,731936,558050,-1,734733,49034,422750,119728,285021,-1,846026,466527,-1,-1,347823,998792,976269,467184,462639,574945,168457,-1,-1,-1,134282,-1,-1,-1,-1,-1,-1,-1,-1,-1,520851,934635,-1,-1,-1,77238,763290,404927,821308,878786,-1,-1,-1,-1,940667,899860,85669,750,265053,178305,-1,-1,487315,282544,433844,-1,-1,-1,786117,-1,817043,-1,-1,-1,992268,561426,-1,-1,334543,-1,443853,244447,-1,669088,-1,-1,337240,-1,941668,-1,-1,644533,-1,-1,-1,929929,-1,325300,586701,417619,678457,160517,-1,-1,776102,-1,796809,450454,58704,96867,107079,625195,-1,855307,-1,22304,-1,-1,-1,-1,47757,676181,706382,311663,68521,-1,-1,-1,463170,-1,-1,-1,723877,-1,-1,579925,873202,100580,47687,930341,760791,-1,680086,-1,-1,-1,509746,364468,-1,86144,471057,421744,-1,-1,-1,678381,131434,304498,-1,-1,-1,612347,897841,-1,-1,-1,205263,-1,-1,-1,-1,-1,954866,15574,-1,-1,434295,909492,-1,-1,470700,496419,-1,315034,133501,-1,128966,290960,8367,850993,-1,-1,893965,137396,321725,142477,116612,768636,-1,492899,846744,270618,-1,-1,320099,-1,121456,754498,-1,-1,-1,462567,694641,-1,-1,44939,-1,907137,-1,-1,-1,806868,-1,-1,54629,321023,-1,714299,857786,53291,-1,401155,299983,-1,114127,127173,924448,34226,-1,-1,-1,-1,483441,638146,331877,-1,237657,-1,-1,923862,-1,-1,-1,-1,-1,133812,576731,618484,-1,-1,651792,-1,741778,637596,-1,800263,550312,-1,-1,-1,-1,-1,973613,390290,315731,359112,147206,896452,-1,-1,987352,-1,760693,435417,-1,-1,-1,923202,-1,-1,765541,-1,469806,65234,-1,294037,-1,603671,-1,759795,211678,-1,-1,820894,-1,-1,-1,-1,21534,760219,186049,-1,865282,-1,489179,-1,888168,209327,-1,843645,-1,374560,744291,560888,-1,-1,629077,-1,66557,-1,-1,186856,314377,-1,-1,624020,366491,170045,966348,-1,-1,718186,87836,-1,-1,-1,-1,491977,612719,276753,-1,-1,-1,-1,371603,-1,-1,-1,332586,-1,-1,-1,519181,-1,96537,-1,988354,-1,-1,-1,701728,-1,-1,-1,990812,278893,-1,-1,949481,805496,-1,-1,381793,-1,263052,921233,-1,-1,538897,-1,542020,375833,-1,-1,531838,-1,-1,-1,853384,-1,571185,-1,-1,182678,-1,-1,535701,-1,48690,625096,194824,-1,466575,-1,-1,423226,531648,-1,277196,-1,621338,830210,-1,206096,996752,-1,-1,-1,-1,663246,-1,422078,-1,928534,-1,-1,-1,-1,-1,-1,134979,-1,720726,-1,-1,944086,-1,-1,-1,633476,802796,762321,881599,664900,-1,-1,853505,488193,862862,-1,900367,223153,-1,495990,-1,267854,510590,580131,105734,-1,835584,464499,-1,159235,-1,511541,-1,426304,-1,54155,-1,-1,527956,78241,-1,-1,-1,835979,803471,-1,-1,720754,-1,-1,-1,996950,105442,-1,234125,935328,-1,119433,232066,963549,967013,-1,985690,-1,732869,-1,-1,912907,-1,973082,-1,-1,-1,20740,-1,802459,-1,286994,-1,326026,-1,-1,591923,-1,-1,-1,370495,-1,-1,-1,-1,-1,488006,-1,-1,595699,-1,-1,725027,311215,562853,226325,-1,283227,-1,172177,538054,-1,-1,-1,-1,-1,626219,397424,975919,275889,430289,-1,-1,415141,-1,292840,279748,99971,-1,78516,833311,738161,682965,-1,138913,887587,-1,107794,-1,-1,-1,-1,-1,-1,393271,586983,-1,-1,721726,-1,840784,12940,993938,77809,-1,-1,881166,947131,197872,620519,-1,-1,74063,-1,647679,928195,-1,-1,365611,653313,-1,391398,721675,380411,-1,-1,677890,572484,-1,461310,-1,974912,45358,435201,944662,289570,-1,-1,-1,-1,-1,-1,-1,-1,-1,81316,236472,471515,-1,-1,23761,846625,-1,336603,-1,-1,-1,-1,892338,-1,-1,-1,-1,-1,510027,-1,76308,-1,676423,12010,224821,-1,520857,-1,847513,485594,-1,629463,118429,142342,379030,338745,-1,-1,-1,-1,326741,893964,777954,-1,318598,990227,-1,-1,78122,-1,243105,485092,876411,366699,968256,-1,-1,-1,198331,514348,178002,-1,126689,426442,164443,-1,450509,32797,935398,-1,144346,475454,-1,-1,373821,904631,-1,-1,-1,-1,-1,-1,-1,628539,-1,-1,710730,664314,-1,487986,711997,717869,913407,-1,-1,981676,488441,-1,746147,-1,-1,-1,124457,441762,-1,-1,-1,541006,475046,885376,-1,677556,639084,591008,644824,-1,495566,-1,244421,508065,756380,996374,576019,826906,-1,631392,-1,-1,-1,-1,774471,524573,-1,961690,583733,-1,444744,426362,-1,-1,492620,-1,84049,-1,21017,209289,42557,879716,-1,909904,83854,895922,-1,-1,-1,-1,497001,391878,-1,776604,-1,-1,560173,-1,-1,-1,-1,18317,-1,921279,744153,-1,159247,389224,-1,316438,369322,-1,-1,76539,838163,-1,218613,725810,-1,364381,74750,602318,-1,681350,209962,777920,189921,-1,-1,-1,-1,-1,740763,836630,463416,404239,-1,613744,-1,-1,-1,248622,994951,598982,-1,630687,847087,793478,-1,878627,185895,717388,-1,784379,-1,-1,579099,493640,946868,-1,-1,227193,762394,918610,-1,-1,765249,586771,290962,-1,576459,899133,350765,-1,-1,246031,831881,-1,-1,292236,18939,-1,876540,167377,848028,329760,346441,429275,-1,-1,320201,958338,-1,-1,-1,528288,709738,407027,457286,435122,940968,-1,-1,-1,-1,-1,-1,506637,-1,833989,130147,-1,-1,67466,860555,712302,380038,485123,-1,-1,15503,-1,-1,-1,-1,738307,270639,-1,-1,-1,399890,-1,-1,354717,-1,604201,546479,712343,563148,-1,-1,640663,-1,-1,903959,571132,83176,-1,-1,-1,816413,-1,952814,844513,392733,536907,-1,194080,204464,-1,442268,-1,-1,-1,-1,79719,-1,-1,-1,853663,-1,316264,-1,384290,-1,-1,471220,327558,-1,757977,-1,-1,-1,33195,282473,-1,-1,-1,-1,238048,551287,-1,-1,-1,-1,-1,-1,239708,787821,-1,653774,480901,629848,188444,757927,-1,912834,-1,650249,-1,65852,766313,-1,-1,-1,959934,117984,-1,356787,638229,-1,-1,-1,576734,221082,302765,-1,-1,-1,-1,925246,-1,182879,348352,98897,134643,912856,900294,-1,-1,-1,-1,414859,696216,573916,-1,-1,753081,609048,-1,52181,-1,888005,871373,-1,470551,-1,-1,-1,150510,-1,703884,-1,-1,54141,-1,27601,700426,448318,510755,255301,-1,-1,852309,-1,-1,236878,-1,251758,-1,-1,443657,-1,565459,-1,466870,-1,491955,192987,-1,593467,188804,-1,-1,354140,-1,212905,-1,-1,-1,-1,400360,989529,954207,-1,712823,967407,814935,438840,389394,64708,494397,-1,-1,-1,-1,570551,-1,313751,-1,-1,-1,-1,455033,295985,702074,-1,-1,495537,773847,-1,56085,534030,-1,-1,830981,-1,-1,-1,-1,782000,198759,132428,181691,729793,577710,-1,-1,749109,284715,-1,453504,-1,-1,-1,104736,543423,660932,-1,-1,797503,488587,-1,-1,-1,7864,875365,150843,-1,-1,837,-1,718083,-1,-1,-1,507398,-1,-1,-1,-1,-1,-1,-1,108301,-1,348322,390477,949132,-1,475332,-1,-1,-1,359044,947294,829119,-1,-1,204460,364891,67723,632657,-1,551025,884796,808022,145189,-1,-1,91077,-1,719090,-1,371512,83648,93100,-1,78107,-1,58441,832765,-1,263502,-1,-1,223403,-1,883093,242643,-1,-1,35686,63704,923111,603438,-1,450123,-1,683095,-1,-1,-1,260684,664870,-1,405587,464565,-1,284889,487905,-1,-1,-1,-1,289539,550242,-1,-1,-1,100022,-1,721606,970360,949883,-1,728317,-1,17448,71485,-1,-1,-1,-1,321086,-1,-1,799796,11574,821970,957394,952160,681221,-1,-1,-1,-1,-1,-1,889400,-1,-1,307842,-1,-1,-1,319640,702367,235670,-1,-1,21223,972088,246622,962707,313131,-1,-1,-1,35899,-1,637831,-1,-1,-1,-1,783925,47777,-1,14652,-1,-1,835054,-1,-1,-1,713428,810163,345162,539774,-1,442486,604640,-1,941807,-1,-1,-1,-1,-1,761173,-1,-1,-1,-1,611150,-1,530389,7,779665,34527,508101,-1,597195,-1,-1,785605,-1,-1,742572,381904,-1,684461,-1,809542,143185,66356,65772,26371,791104,105144,-1,954858,501265,827256,-1,917530,-1,-1,-1,666771,-1,850462,114538,-1,-1,849263,-1,-1,759140,-1,625935,157326,180919,703720,913614,113095,-1,-1,512472,827414,-1,-1,-1,943028,-1,738581,103642,-1,-1,988655,-1,-1,362205,42145,301194,-1,-1,645909,-1,317115,391436,423305,727269,748318,-1,-1,698623,-1,635492,-1,434500,645850,-1,-1,-1,688044,-1,734550,531316,-1,-1,-1,587057,562292,805806,219754,684109,719966,-1,719029,690995,437305,-1,468430,-1,-1,907125,7972,697266,492390,909619,81103,856964,-1,885924,-1,-1,452253,-1,-1,709841,-1,-1,-1,684922,230679,922139,-1,-1,-1,526304,-1,252730,27291,-1,-1,762036,91733,948040,33540,-1,629818,250450,-1,854644,500173,185680,754412,-1,939255,369244,129812,512619,-1,714125,-1,700021,-1,-1,467130,-1,-1,-1,-1,-1,-1,580590,82656,-1,-1,-1,928324,-1,801888,186248,-1,-1,736496,223246,-1,752028,152210,-1,-1,636204,-1,803171,580395,52799,639588,129281,878165,-1,-1,-1,881219,-1,934536,-1,-1,764392,522658,-1,-1,-1,989302,-1,26773,885,-1,502379,-1,298831,-1,-1,402469,-1,-1,362728,822557,708565,403966,-1,-1,-1,-1,-1,-1,713547,-1,710465,214491,492571,-1,-1,455445,-1,-1,505260,900277,-1,-1,-1,-1,-1,-1,-1,68362,-1,-1,-1,-1,-1,431302,-1,-1,816403,912072,985413,-1,-1,-1,-1,958150,-1,996594,-1,789574,-1,-1,-1,-1,951069,740291,643922,591980,435689,263798,352991,163335,395091,377974,46174,830351,-1,109584,-1,651237,495781,665411,836968,996392,-1,77960,525124,-1,-1,-1,-1,-1,-1,78313,806572,318754,-1,-1,842726,-1,-1,-1,-1,-1,-1,15980,344121,-1,5519,52290,960516,-1,-1,-1,353620,-1,448043,-1,-1,-1,879105,351955,-1,-1,-1,452178,-1,-1,-1,917149,-1,-1,813484,424545,535162,652728,-1,-1,446485,768764,-1,-1,-1,953977,-1,741253,-1,-1,659890,-1,-1,-1,320717,438738,-1,360885,-1,629739,601682,58202,-1,947585,756673,-1,-1,156201,294240,-1,50142,-1,-1,544343,-1,-1,-1,325938,122067,124489,739978,287258,-1,957668,98311,495156,-1,384523,-1,-1,266406,-1,358619,-1,-1,-1,911110,798683,-1,-1,-1,175560,-1,317193,269892,-1,917245,-1,-1,639436,202305,841957,909463,-1,893772,474490,698322,-1,-1,807210,-1,-1,-1,-1,576636,-1,-1,82432,-1,-1,-1,42258,777410,521554,10693,-1,-1,602026,510803,275391,124110,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,229358,684046,-1,395718,617913,799117,831233,911567,-1,-1,-1,-1,736510,-1,-1,856284,465564,-1,730486,50040,532757,-1,-1,603254,332727,-1,-1,799996,-1,726619,-1,284790,908281,309094,919998,387302,-1,63309,345797,-1,501829,440876,-1,715278,-1,503985,-1,-1,463590,2860,-1,697543,-1,-1,-1,-1,-1,-1,-1,-1,129219,531387,-1,-1,981242,62331,956808,305679,-1,229571,-1,-1,734266,522237,252292,-1,492482,-1,692764,-1,-1,-1,598746,-1,-1,-1,460826,582242,125926,563305,662405,-1,403045,-1,648298,-1,-1,676454,-1,-1,-1,573470,934489,484677,628133,17295,894982,735320,830948,261781,861234,671270,-1,926666,-1,-1,408643,-1,-1,514460,-1,293546,213278,144481,-1,873780,328391,399869,-1,-1,-1,509734,264076,-1,263013,206389,-1,962492,-1,445770,915795,261284,-1,-1,-1,610474,150800,-1,471349,-1,-1,-1,-1,-1,-1,-1,-1,-1,213886,863429,873868,-1,161032,-1,-1,624294,497760,647210,542769,-1,752070,-1,289700,399809,-1,-1,983699,438895,-1,204907,262776,-1,-1,-1,474178,-1,-1,-1,489806,-1,732302,243185,727908,171603,923396,392267,563966,-1,74193,42025,-1,-1,-1,881777,-1,243591,-1,205209,-1,747102,574962,251574,-1,376864,525352,-1,821172,213225,-1,-1,233960,899757,172674,-1,-1,744431,-1,-1,-1,-1,-1,917779,518239,95889,-1,-1,-1,-1,-1,-1,-1,719395,-1,908976,596553,537978,478434,-1,-1,811402,183509,32702,1889,990941,974696,-1,296709,307552,-1,692324,-1,930509,-1,-1,-1,660173,-1,976500,363572,-1,618533,157426,-1,723612,153625,661134,317366,-1,18870,255745,457782,281566,-1,101330,-1,755200,710282,528903,383394,-1,-1,436599,630907,-1,56124,-1,-1,-1,-1,384852,537231,-1,146876,133637,-1,586952,231853,-1,594717,84033,941914,449993,-1,504434,571930,-1,-1,917630,218729,-1,37510,270020,-1,-1,-1,515879,111669,699340,-1,517653,-1,987590,-1,-1,-1,-1,437711,400968,44167,317268,310142,382995,-1,-1,670779,111270,-1,-1,518850,-1,-1,-1,-1,163630,836586,753365,-1,948827,485004,-1,49023,-1,334908,-1,967784,-1,-1,-1,898718,-1,-1,-1,930280,-1,-1,-1,-1,-1,832309,-1,73115,-1,-1,-1,-1,-1,787444,57764,-1,-1,219380,-1,362720,-1,159027,-1,-1,-1,-1,-1,-1,-1,-1,736239,314798,-1,-1,839099,102289,-1,248065,561243,-1,-1,229795,141798,764747,63887,696882,-1,125589,-1,74553,-1,-1,-1,276411,411349,-1,-1,-1,78960,-1,-1,-1,-1,-1,-1,-1,-1,-1,180506,685967,-1,-1,125012,-1,946812,632253,776924,755277,983867,98021,-1,-1,-1,-1,797881,870355,-1,-1,-1,-1,-1,615504,-1,-1,-1,-1,70591,315207,-1,331659,-1,364896,-1,613421,103464,569883,-1,380395,110195,-1,330937,283780,-1,747260,-1,247710,-1,-1,-1,-1,754697,-1,-1,-1,-1,983157,221664,44840,-1,-1,411551,-1,900100,-1,582286,-1,260701,-1,220771,-1,-1,1084,625831,805333,786468,-1,-1,-1,300554,-1,-1,-1,-1,-1,-1,-1,822207,-1,-1,210819,23315,833387,-1,287016,383341,147116,-1,-1,569971,229946,-1,-1,55707,384605,957898,982969,152024,-1,683776,627252,-1,441547,-1,-1,389945,123778,-1,694448,895622,455967,890325,-1,501823,641149,-1,-1,113658,570607,264631,-1,-1,125667,291241,246447,438493,-1,989569,688773,868137,-1,-1,192851,748431,-1,-1,385037,-1,828937,-1,-1,487020,-1,-1,-1,-1,483765,-1,113099,-1,-1,-1,-1,558940,-1,-1,8924,-1,131842,487254,496758,247811,-1,463669,-1,104079,125813,-1,776811,-1,-1,760032,-1,-1,-1,955133,569393,-1,-1,107197,725534,37468,-1,-1,-1,-1,127440,325926,236294,985263,215329,-1,429979,-1,395169,-1,117347,993699,-1,-1,870344,-1,864291,916417,-1,-1,-1,-1,-1,257766,955556,-1,585436,932702,-1,-1,-1,559084,-1,492565,929144,-1,804501,796110,140058,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,235560,357744,282997,830381,917099,597032,-1,281418,-1,-1,945742,979560,686152,524347,494439,-1,282618,-1,578876,332933,187814,158170,-1,662387,-1,184499,-1,7958,327568,153339,679236,-1,-1,-1,-1,763960,-1,-1,752343,-1,-1,-1,88130,-1,989504,-1,334021,-1,240672,670752,186982,892483,-1,160604,617428,-1,444918,-1,-1,406644,-1,738117,-1,-1,536157,273918,97484,794267,-1,307372,-1,-1,343019,226388,392625,459000,-1,775413,514457,-1,259019,-1,-1,-1,668330,-1,35100,979767,-1,362764,774946,522995,-1,-1,-1,89680,-1,-1,-1,478317,582133,829861,-1,-1,-1,83715,821883,-1,-1,820707,220717,186883,618530,236513,-1,486278,885242,-1,-1,334976,-1,-1,-1,-1,-1,62615,-1,963278,967257,39236,563852,981270,-1,205569,-1,-1,-1,881547,-1,151474,925382,-1,-1,-1,-1,957324,675535,-1,53151,-1,-1,-1,-1,-1,-1,875915,678242,933764,988134,-1,-1,2723,-1,-1,-1,297996,217001,-1,-1,570889,-1,-1,-1,105319,40315,587189,903077,-1,-1,645343,-1,-1,-1,365443,218342,67342,286480,527596,-1,-1,287151,324494,8296,942648,559160,736976,-1,-1,130030,-1,-1,-1,-1,551319,-1,-1,513678,-1,-1,96506,71747,296003,-1,-1,-1,-1,741016,137209,111095,977817,313548,-1,-1,-1,259177,-1,254511,946335,985202,485842,176658,171794,-1,773976,797167,174497,207706,-1,-1,-1,-1,672,-1,-1,150314,796770,968947,-1,-1,-1,-1,441767,-1,469202,998461,113119,622620,-1,172709,-1,409081,-1,-1,865322,138254,-1,-1,-1,94288,669528,807305,443338,390734,84359,-1,-1,-1,-1,-1,204865,-1,136038,605070,604444,-1,441063,311152,430356,-1,-1,755556,231386,941109,70425,80971,900329,833158,29809,353408,316542,309591,-1,637774,-1,267682,-1,-1,-1,-1,562968,736089,-1,765070,-1,-1,436276,521012,-1,-1,-1,69228,731008,127052,-1,721831,-1,-1,186133,-1,-1,-1,670951,422719,635088,-1,-1,499121,530647,-1,-1,494779,-1,-1,-1,-1,-1,193818,339299,-1,-1,-1,320195,-1,71731,-1,92853,-1,-1,659008,-1,358095,-1,402687,-1,-1,-1,-1,660248,265924,-1,362976,834765,-1,-1,815136,508621,147884,52426,-1,-1,-1,-1,319471,97865,629294,680312,-1,565478,-1,-1,-1,135803,132404,697028,796594,-1,-1,408494,717300,-1,-1,859963,176314,-1,317746,-1,565831,-1,553045,-1,-1,481346,402350,-1,464746,916149,879195,259253,794971,-1,511515,-1,752935,484225,-1,-1,-1,-1,106464,892149,-1,238281,88914,-1,-1,-1,-1,-1,-1,996821,717626,522917,-1,532761,99078,427919,597540,253329,807507,744734,-1,-1,875782,80512,727634,-1,193669,777508,433287,769256,-1,-1,228530,-1,5718,750258,-1,-1,423700,825956,-1,-1,421937,-1,-1,159942,823030,-1,-1,-1,115564,875147,625284,800033,-1,370782,-1,329287,-1,-1,-1,764654,-1,988642,-1,-1,-1,-1,320058,574363,-1,525446,-1,383361,175050,600782,-1,937257,-1,568076,-1,-1,276074,-1,-1,113376,901618,-1,212447,746550,-1,-1,699889,-1,-1,240963,378776,-1,307489,-1,-1,-1,-1,-1,582229,472740,494616,758232,49239,-1,78855,113786,640095,463126,-1,450877,785886,830114,-1,989060,717058,39268,-1,337465,622480,969369,-1,114245,-1,135245,792006,-1,930554,561490,593088,-1,-1,253030,778901,176081,808312,-1,-1,104866,-1,-1,-1,462184,546754,-1,16584,-1,286290,821724,927876,-1,-1,-1,-1,698458,-1,832881,411923,625275,-1,590275,135072,749476,285901,-1,-1,94190,574593,-1,-1,-1,-1,-1,5738,875917,88574,378783,967163,-1,487818,-1,411163,133156,-1,680090,-1,446616,-1,-1,-1,720147,141754,843573,-1,-1,373786,346757,-1,-1,-1,933759,737418,326208,192469,-1,-1,576512,-1,-1,-1,873999,-1,560908,-1,458315,323828,528144,-1,865561,-1,-1,-1,734680,-1,600306,44067,445346,-1,-1,-1,-1,484865,666557,668154,681372,929871,106862,-1,-1,-1,711827,-1,126713,-1,817093,445544,176306,-1,-1,-1,959318,-1,511519,-1,-1,-1,-1,205717,178993,351469,614803,-1,409980,103117,-1,-1,874754,-1,-1,224156,852118,450213,-1,10729,-1,-1,835269,289932,351082,-1,-1,834827,-1,589596,872770,-1,-1,-1,9237,795467,125482,367420,-1,65840,927449,-1,-1,-1,-1,180822,208784,-1,-1,-1,-1,-1,893458,-1,738195,-1,-1,-1,418816,460783,-1,-1,-1,-1,-1,158181,-1,434904,97992,-1,-1,-1,571116,798222,-1,712291,914814,-1,-1,-1,48766,770755,-1,231917,249672,635093,-1,-1,-1,-1,-1,253259,118946,213790,-1,-1,580471,575838,170577,-1,-1,42001,900243,-1,29539,913144,-1,172190,-1,-1,21102,516563,662884,969426,-1,780365,865689,955526,127872,372488,840695,166449,-1,438723,-1,942128,564024,-1,199463,564724,621008,201450,497677,483094,105777,825628,300384,-1,-1,985707,-1,-1,722948,190899,163914,476466,-1,982282,385976,-1,455664,346411,-1,-1,-1,-1,927121,514330,507201,-1,383382,927279,-1,811884,-1,-1,-1,437083,-1,-1,-1,558698,516423,-1,-1,230822,513725,-1,-1,298827,751366,-1,-1,-1,589694,-1,862767,-1,-1,125586,-1,-1,-1,-1,-1,516378,-1,246762,273473,-1,975480,-1,-1,206469,-1,608999,-1,576330,-1,809277,-1,-1,450002,991097,-1,610954,212116,-1,-1,431229,464252,856138,687728,776805,109515,658981,-1,-1,704589,-1,844200,246024,-1,827627,-1,410927,285169,65021,862988,10467,662812,-1,-1,-1,-1,-1,-1,-1,821288,969325,-1,182166,-1,-1,705132,765621,486603,983253,-1,-1,-1,368779,-1,913467,485464,-1,-1,241696,371323,-1,-1,-1,-1,-1,690276,-1,648975,103,-1,450182,-1,532748,-1,-1,-1,-1,-1,579148,-1,-1,-1,66005,231296,-1,619881,154976,-1,730895,135800,-1,872925,-1,-1,693509,-1,-1,131811,758702,-1,-1,795926,253315,-1,-1,343386,-1,917858,582071,960929,-1,154925,-1,50555,563721,-1,741699,-1,988302,710015,-1,354023,833122,967345,953110,-1,-1,-1,-1,563467,-1,24149,380602,-1,-1,-1,-1,217359,882382,634160,-1,556785,-1,425463,35483,-1,-1,-1,744137,-1,30770,-1,-1,-1,-1,-1,-1,-1,-1,-1,237906,-1,-1,-1,373196,840459,161655,459837,-1,912030,855339,-1,206718,428515,796965,-1,-1,-1,-1,-1,-1,-1,-1,448198,-1,-1,-1,455379,-1,-1,129889,-1,-1,997125,603705,302084,213856,278780,373087,508042,-1,72857,-1,-1,141135,984582,-1,752716,-1,-1,-1,227795,-1,-1,-1,-1,-1,-1,286962,263848,140726,-1,-1,723524,39208,-1,633694,-1,224074,-1,290254,-1,414671,100765,441912,223286,461198,493402,756643,-1,-1,844129,375632,619403,-1,726519,717543,-1,460043,3691,-1,340540,392993,-1,-1,145425,670188,-1,-1,-1,98806,-1,-1,552074,-1,-1,-1,870759,237768,-1,-1,-1,-1,-1,-1,425751,700685,92447,129036,-1,819955,530667,-1,449999,-1,343599,454801,-1,-1,669293,-1,659843,-1,273150,-1,-1,1234,-1,-1,435891,-1,-1,908474,838397,-1,-1,-1,818839,-1,506534,-1,605848,811265,-1,-1,-1,363912,214802,-1,895370,391238,-1,694792,180433,67289,688025,368828,-1,487264,908947,-1,-1,240249,51792,374779,110731,808290,440113,-1,-1,-1,821340,129691,-1,-1,476810,518553,736332,434317,25087,-1,900798,46476,153121,-1,243497,-1,-1,75925,-1,-1,694574,-1,525568,-1,-1,-1,779451,-1,988753,-1,346509,664946,-1,130303,247841,299865,-1,-1,-1,-1,215317,428405,-1,-1,-1,-1,185219,-1,-1,756743,-1,-1,-1,762232,-1,-1,-1,-1,784473,-1,835010,662504,-1,993786,631237,-1,322986,-1,-1,-1,-1,-1,933449,731586,-1,205083,807058,-1,991569,-1,-1,-1,503804,325853,602659,-1,-1,312970,53592,16717,157379,959393,419010,991140,-1,796885,-1,-1,158839,-1,-1,-1,28509,-1,51085,-1,508227,-1,-1,-1,158041,494623,401340,-1,-1,-1,-1,-1,110984,-1,-1,320107,737460,808879,-1,758658,-1,902446,643275,436297,-1,586956,190674,-1,-1,-1,-1,-1,-1,-1,813345,-1,303003,469294,-1,-1,227638,177558,567899,-1,-1,-1,-1,-1,892505,-1,-1,-1,221042,-1,-1,-1,-1,854905,949670,107882,155500,468152,-1,-1,495047,-1,-1,-1,-1,386063,367762,732294,649008,322485,-1,928437,337402,984593,-1,542306,-1,59031,-1,-1,173175,911591,-1,565715,512588,-1,394239,-1,608066,206673,714978,-1,-1,-1,-1,-1,303130,410194,-1,85086,-1,-1,-1,321286,-1,633012,-1,-1,203551,-1,-1,663312,487282,-1,991731,436121,-1,506439,614449,703583,155201,854429,-1,-1,-1,-1,574760,-1,-1,765620,-1,283151,9252,176757,-1,976027,461711,-1,-1,-1,-1,-1,-1,285804,-1,-1,107206,741092,-1,227336,-1,-1,631889,-1,577983,477830,519989,-1,492036,518032,5127,726497,-1,-1,55525,-1,-1,769423,719830,-1,623010,595209,-1,-1,343188,-1,-1,678611,992390,-1,-1,-1,13288,-1,-1,-1,340922,272105,403910,-1,746424,-1,-1,127904,-1,-1,279665,37946,641452,271383,-1,52072,-1,-1,658637,-1,812234,-1,-1,775078,-1,217633,-1,-1,733608,-1,-1,331147,-1,547764,592831,916472,653874,-1,399439,-1,-1,-1,533919,-1,-1,-1,-1,-1,659122,-1,744596,-1,-1,-1,595018,916473,-1,416458,882097,737145,650064,-1,484105,307360,136277,-1,-1,189361,-1,-1,124853,908685,-1,593887,573174,336714,-1,-1,-1,-1,657872,808117,816035,-1,153279,100958,-1,-1,-1,486567,150757,397540,708655,609259,119722,939385,-1,-1,496980,-1,110491,-1,-1,231078,-1,269472,-1,987614,-1,-1,-1,944391,167428,203833,849070,460851,497689,269662,-1,9574,-1,-1,435666,43548,404058,180406,93629,-1,800796,364584,962517,-1,224834,-1,-1,714230,596204,-1,568259,913056,908837,-1,-1,-1,-1,-1,-1,-1,103316,-1,-1,922332,-1,-1,551495,622344,974266,952168,-1,151753,73155,-1,-1,72799,691478,672062,-1,785936,240494,-1,-1,-1,835582,150522,-1,-1,302972,-1,282359,515465,165843,-1,176625,-1,-1,-1,-1,639426,-1,-1,-1,-1,-1,-1,759158,294413,-1,-1,-1,123973,289257,255523,410347,-1,-1,-1,-1,227442,-1,-1,-1,-1,-1,-1,83268,-1,-1,279868,683286,-1,-1,-1,-1,-1,29140,-1,-1,-1,971870,-1,-1,639673,-1,-1,-1,-1,526031,740756,680658,955173,762153,992306,963365,-1,-1,654634,-1,947357,-1,678742,689339,-1,901082,-1,554682,907323,-1,-1,724541,-1,5573,270595,778457,537162,-1,758414,-1,-1,-1,-1,-1,-1,860231,772284,396249,297604,56377,-1,-1,-1,717577,326000,-1,819406,355113,100295,256010,914894,596597,-1,-1,-1,62976,-1,103545,-1,-1,957860,393126,-1,-1,376596,-1,911710,534141,989203,-1,761461,24645,509860,-1,-1,215782,-1,982661,963584,644144,-1,-1,172567,446268,46971,97558,-1,181470,-1,-1,859568,-1,672521,857081,-1,661108,-1,-1,-1,-1,35545,-1,991139,-1,-1,919756,153812,-1,559313,663095,182975,-1,-1,180364,-1,652758,953357,-1,-1,-1,873771,25707,733736,319103,766094,-1,39489,-1,637701,-1,-1,663952,-1,781479,-1,-1,-1,2928,130431,-1,-1,76311,248173,355042,-1,905929,-1,-1,-1,272007,652664,442425,-1,551261,291173,-1,242783,-1,-1,-1,-1,-1,672590,784606,-1,907578,441155,333001,937577,-1,-1,-1,-1,-1,162913,-1,561715,-1,174617,673542,-1,273071,-1,907675,101411,-1,620424,895478,-1,-1,-1,-1,-1,-1,-1,-1,328192,-1,275787,-1,-1,843947,891718,-1,353380,-1,198321,118981,-1,-1,-1,-1,-1,-1,610742,613499,207034,-1,322633,-1,-1,-1,-1,790696,835882,990772,20268,-1,884378,-1,833043,954168,506147,-1,928433,-1,699192,44198,-1,352156,997790,51709,402857,-1,629461,982467,890345,488910,545753,-1,178789,-1,564986,961412,740541,-1,-1,-1,-1,-1,147425,-1,-1,456208,787801,-1,676782,799490,845835,-1,383028,-1,574291,-1,683994,-1,70540,-1,618681,-1,192054,-1,-1,-1,723879,804149,-1,-1,-1,807518,646629,990739,535618,19430,-1,749689,745003,593340,198829,-1,-1,-1,-1,-1,161329,451046,494743,510352,825495,-1,-1,-1,-1,-1,893647,-1,-1,118229,2867,-1,114313,-1,-1,-1,-1,-1,-1,-1,-1,169849,337490,-1,922513,-1,373998,-1,-1,845050,-1,-1,888636,-1,-1,-1,-1,596621,614589,35512,-1,252246,424613,443233,888361,197438,-1,-1,-1,52232,-1,298450,945667,-1,494962,947572,340158,-1,162683,-1,-1,273999,-1,903707,-1,954367,853807,-1,-1,-1,133059,-1,217816,-1,300847,386513,-1,-1,-1,-1,-1,319199,-1,61029,-1,464059,-1,-1,-1,620602,677281,-1,882891,853733,37978,718013,599757,315366,629,451090,760736,994991,-1,-1,-1,-1,140421,-1,-1,302435,871865,-1,-1,755943,-1,114651,396582,881757,998422,-1,-1,70194,-1,-1,-1,-1,-1,-1,408341,121928,-1,330954,-1,-1,49926,92527,-1,884082,-1,882211,3256,-1,-1,959639,-1,215591,17392,-1,-1,120570,-1,-1,383494,608432,-1,-1,611353,-1,-1,23014,-1,-1,-1,607021,-1,-1,49268,447927,79801,-1,-1,-1,948777,116848,-1,-1,667249,-1,335819,-1,531449,670805,113231,-1,835587,-1,-1,-1,183935,627801,696271,-1,-1,-1,581679,351264,-1,-1,177274,181889,722129,81131,-1,-1,294935,-1,44239,140300,891868,-1,926437,-1,-1,-1,-1,-1,71224,-1,-1,-1,809070,934431,549857,451400,339016,-1,406989,497742,-1,349332,-1,602407,-1,-1,-1,-1,-1,321199,111261,-1,174324,589833,-1,-1,-1,-1,-1,760295,-1,-1,579679,811285,886486,-1,-1,-1,-1,318147,-1,194668,39270,857769,-1,123668,-1,-1,-1,323634,-1,845202,301369,935865,126134,-1,622018,-1,-1,-1,885160,677802,245593,235755,679253,110032,20236,-1,-1,-1,574930,562936,242618,960376,264017,-1,915669,-1,-1,448727,-1,635862,-1,614214,-1,637944,-1,234358,-1,-1,-1,906304,545921,314342,134874,177169,263294,77482,-1,98042,-1,760726,-1,680239,380186,-1,186600,-1,645533,-1,781681,650040,-1,751877,290112,563100,173073,425163,-1,-1,459345,789113,564802,-1,282397,806861,-1,-1,948320,-1,-1,548267,936617,124237,614086,878548,-1,-1,637376,449669,532664,774197,-1,-1,-1,-1,973472,-1,990514,-1,527588,484072,302829,116794,-1,589870,-1,-1,-1,856377,146334,277029,196731,373439,976635,-1,760207,-1,-1,-1,247888,-1,-1,908538,-1,938453,-1,-1,239923,242841,225757,825668,-1,-1,-1,465198,808996,-1,-1,820545,238563,141605,-1,703543,-1,-1,907433,-1,-1,914107,962093,493663,23058,-1,534074,358455,-1,-1,769240,-1,715237,537213,-1,-1,439137,-1,586914,731136,-1,-1,-1,-1,389849,813457,-1,-1,-1,93546,-1,994879,249317,160181,-1,66888,682892,182569,290534,-1,-1,428507,402457,137535,917851,750069,-1,-1,455793,-1,954035,-1,-1,-1,33649,-1,170989,-1,546165,23389,-1,-1,-1,647809,193204,-1,-1,-1,-1,638563,267593,374955,-1,599261,120537,802006,-1,-1,-1,506382,671743,299914,3185,917244,563236,900378,271466,865324,194627,219381,-1,512436,-1,568746,-1,299565,-1,502084,-1,378615,-1,-1,-1,468942,538332,884050,916882,791285,-1,719154,91270,59768,-1,-1,-1,-1,400134,768933,604335,-1,-1,260397,-1,-1,-1,724421,544152,414847,246915,903233,510679,507804,-1,-1,-1,-1,394797,-1,531224,590728,143092,-1,-1,729678,-1,-1,571722,869652,-1,-1,992529,-1,-1,-1,673048,299878,426236,529133,-1,667243,845030,131863,459818,-1,523196,896486,-1,-1,331485,812747,-1,-1,-1,968666,444395,293315,372367,-1,908415,433710,928867,224956,12721,-1,-1,-1,-1,-1,-1,-1,168086,930596,-1,607425,629609,105479,-1,325386,-1,-1,-1,436098,672779,141517,-1,-1,569561,-1,-1,-1,-1,-1,-1,-1,-1,347095,-1,-1,-1,-1,-1,154549,-1,731088,-1,-1,-1,76781,-1,491358,-1,-1,562333,568931,-1,88550,-1,238968,745804,-1,-1,842482,522654,761495,284149,886740,678174,-1,-1,-1,767380,-1,-1,259414,-1,428039,27374,-1,977899,-1,118599,804106,687243,-1,137260,345425,680559,-1,-1,278503,-1,-1,-1,448068,572979,-1,21219,-1,436611,-1,-1,630427,771757,96501,706844,554827,-1,414235,651443,-1,-1,92854,-1,617328,909907,-1,-1,-1,224748,554517,690413,963210,-1,850120,937932,-1,-1,757902,53844,455943,815143,-1,147881,-1,315536,88245,801109,-1,386819,541076,-1,-1,233107,-1,198613,628203,862640,-1,663929,-1,924841,327942,-1,331567,148065,-1,-1,-1,-1,301386,-1,11916,478049,9380,-1,8035,782777,-1,840825,-1,695448,-1,756620,-1,-1,255185,-1,106858,-1,-1,178037,-1,-1,-1,675114,27811,111152,-1,-1,743969,613563,187835,422627,989524,550897,51319,351277,-1,-1,-1,371158,569553,-1,797765,174192,-1,351776,736980,-1,-1,-1,-1,755272,-1,-1,-1,-1,541698,-1,590344,-1,-1,-1,846289,-1,108742,824371,-1,-1,19954,933440,851845,91432,-1,717306,479108,-1,-1,-1,-1,-1,841661,506898,979900,40537,573217,-1,-1,125316,34553,47073,975171,-1,46459,-1,262528,199983,411331,-1,-1,-1,-1,421394,156587,553745,976072,551673,313455,688292,444702,-1,-1,-1,-1,144173,402613,628832,-1,-1,-1,-1,-1,489001,290844,-1,180443,-1,645899,922469,29377,-1,897509,365648,-1,-1,282294,-1,509761,-1,-1,-1,-1,-1,-1,497223,987633,-1,-1,-1,575303,797580,714266,750346,954121,-1,-1,-1,562316,768829,756401,119424,715751,873311,690504,376621,-1,916463,151655,708452,-1,593120,424964,-1,621412,-1,558112,922859,-1,178473,-1,-1,879138,262256,150414,-1,770369,699915,268745,362390,-1,-1,-1,20480,-1,-1,214378,-1,-1,-1,-1,899140,28589,-1,605335,-1,-1,593093,641608,-1,-1,380133,-1,-1,-1,791696,-1,729905,931172,-1,-1,-1,-1,-1,-1,928130,-1,124412,539331,-1,798221,910107,842525,-1,-1,334105,259348,-1,-1,-1,595933,-1,-1,474819,201315,-1,-1,356454,-1,-1,787193,557931,970036,-1,556479,715088,-1,858349,170786,-1,-1,155749,165472,766990,-1,208205,766614,-1,-1,853647,-1,868975,-1,238096,-1,-1,102227,-1,826707,-1,-1,460741,807625,-1,532797,-1,-1,-1,450556,355304,-1,-1,-1,-1,-1,-1,943958,-1,327777,44485,928087,-1,-1,822569,726340,-1,324949,-1,311871,-1,298522,280892,-1,600696,238632,-1,-1,280780,428664,-1,-1,381485,434796,-1,241201,960686,-1,166647,494620,268069,623387,169183,96305,511179,835373,-1,-1,784383,-1,314417,726104,-1,348939,669158,-1,-1,717296,-1,334430,646530,465398,-1,-1,-1,-1,319094,477542,925358,862726,-1,301475,-1,300154,905826,-1,-1,789144,-1,347608,-1,412913,945760,61318,716614,908505,-1,80162,-1,712609,207148,467954,-1,826689,891779,953611,584239,-1,-1,613534,-1,-1,-1,-1,-1,-1,-1,853029,-1,-1,-1,-1,-1,809597,-1,612080,-1,909026,-1,-1,-1,-1,644211,964633,30767,652715,-1,385682,358612,464809,-1,566157,-1,-1,70918,-1,194042,603783,910327,-1,-1,39454,463198,439301,-1,562593,-1,-1,865672,-1,567871,570030,727838,-1,-1,-1,-1,365301,-1,-1,-1,673615,546500,881187,-1,433004,389135,-1,926422,957028,677006,-1,-1,734806,-1,-1,-1,-1,919338,53962,-1,98412,-1,507954,-1,329687,504611,-1,282714,-1,197117,-1,-1,-1,-1,-1,412781,938068,960149,-1,-1,102413,71616,436813,-1,292585,702534,665087,879927,715616,396703,-1,522125,-1,-1,-1,721633,142046,480069,852635,-1,410896,-1,-1,94258,-1,893528,-1,-1,386072,-1,6035,-1,-1,-1,680075,-1,141129,125640,-1,-1,844686,-1,760241,963960,879697,558051,792268,-1,-1,-1,863619,296835,798639,-1,-1,161773,940760,-1,157902,-1,-1,156254,-1,-1,-1,-1,329970,-1,258430,-1,-1,-1,183718,283583,-1,463024,777085,-1,172630,365426,-1,-1,-1,654661,-1,633854,590279,192783,-1,610183,926518,321503,415782,125708,-1,456134,-1,-1,-1,662463,643854,718882,110278,128707,-1,-1,573349,260794,-1,-1,-1,582374,325935,-1,-1,-1,962150,-1,-1,-1,793711,911405,701445,-1,290463,210637,-1,-1,-1,-1,532992,361682,-1,-1,-1,-1,-1,-1,884171,606461,-1,484524,-1,322082,-1,-1,114276,-1,536948,-1,216805,76854,72778,468617,-1,718944,496208,262924,229778,727921,277706,864679,964659,102687,154484,-1,-1,411742,121967,-1,53469,57644,-1,-1,-1,-1,-1,-1,878257,803602,-1,-1,225298,-1,-1,305433,-1,983666,642969,-1,-1,-1,-1,303016,-1,880157,-1,-1,120079,-1,231276,19975,-1,692869,-1,334591,478924,492120,-1,-1,-1,-1,343983,693353,-1,861165,301154,674380,-1,370708,-1,-1,497090,891946,-1,-1,-1,-1,-1,-1,-1,718799,786916,-1,439687,-1,-1,-1,-1,747720,968238,-1,-1,-1,-1,240133,-1,462412,721319,635892,-1,-1,322750,-1,422970,709257,870653,-1,-1,826227,491450,-1,-1,-1,782076,116287,601214,-1,174496,164309,-1,944189,-1,-1,278708,-1,-1,765553,-1,-1,-1,-1,69609,285972,-1,-1,-1,-1,523095,-1,315396,-1,909625,391489,399897,980417,791537,-1,751751,845283,538211,-1,-1,-1,-1,610150,-1,118468,-1,-1,97806,-1,293976,135272,-1,-1,-1,-1,885147,-1,371933,-1,792827,850202,-1,147214,-1,-1,592455,-1,833139,183335,821644,-1,136064,968205,-1,726545,-1,-1,-1,-1,221303,582466,5915,-1,802318,239437,-1,-1,-1,-1,-1,874927,-1,-1,314855,-1,427191,504917,263994,573814,865242,464717,741622,-1,403994,-1,-1,371350,633241,-1,-1,875858,-1,428027,169428,737789,-1,-1,922804,587112,-1,45874,513614,637637,-1,793366,-1,-1,929068,168363,-1,425106,-1,958356,-1,891198,-1,-1,-1,572546,-1,964716,-1,-1,202792,-1,241641,-1,-1,-1,-1,380367,-1,-1,-1,599692,-1,349569,-1,-1,888222,369341,-1,105577,-1,-1,-1,633643,-1,171019,440338,755048,-1,-1,-1,-1,-1,-1,818544,218686,-1,926443,379655,-1,525629,-1,-1,-1,388404,987135,-1,654322,-1,-1,-1,345645,364392,-1,-1,646765,-1,83856,-1,-1,814900,52876,-1,950358,-1,-1,432179,-1,-1,454787,693249,-1,-1,791498,-1,770715,494708,737045,-1,827314,316002,-1,-1,-1,399664,611129,61461,210454,-1,-1,281041,-1,-1,219105,-1,70806,728551,-1,-1,270824,6501,-1,711632,543224,-1,429837,-1,-1,649515,-1,289096,270822,768075,647731,-1,-1,439723,972238,-1,137729,374195,403312,580750,994531,661987,235616,-1,432662,-1,-1,405887,778512,-1,-1,-1,490985,-1,-1,-1,326060,733463,-1,578841,596424,154963,-1,-1,-1,-1,502941,-1,90775,53804,-1,-1,268812,-1,-1,574465,156761,-1,302373,-1,813832,240654,-1,-1,-1,884922,-1,-1,-1,91884,-1,-1,-1,-1,-1,57523,647096,-1,695918,-1,15349,-1,-1,611375,-1,136486,-1,-1,-1,175457,-1,-1,835084,821925,375843,539401,-1,487917,61991,-1,-1,-1,-1,647874,-1,895708,-1,814718,-1,342850,773458,-1,668614,344389,669768,130105,-1,-1,687320,87931,-1,-1,242981,-1,-1,422419,-1,668236,40094,-1,-1,-1,522536,889910,496955,104058,-1,-1,163621,-1,268822,-1,30784,424023,-1,363058,-1,332787,447624,-1,-1,538490,972461,318561,-1,985061,-1,199069,-1,153016,-1,-1,-1,33218,-1,666881,713481,-1,159137,-1,-1,692520,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,82673,333687,-1,-1,-1,-1,487428,96125,-1,-1,-1,479270,-1,756448,354913,209048,-1,755312,380111,512315,651535,980435,-1,-1,313436,282412,-1,-1,94267,-1,980272,317359,299167,-1,-1,-1,870259,-1,-1,343494,-1,-1,-1,-1,428636,816170,-1,954084,984043,973635,-1,-1,605026,-1,414100,383268,14116,-1,-1,-1,363195,719480,-1,-1,-1,929740,137181,-1,-1,534632,-1,527372,577789,-1,-1,727268,194683,-1,-1,538758,707739,-1,274014,557633,721549,-1,-1,-1,825941,-1,-1,-1,416860,-1,888727,-1,383100,-1,-1,-1,-1,-1,-1,884228,-1,-1,199713,-1,226926,691619,-1,45824,670642,20521,-1,-1,-1,689593,762330,-1,775818,-1,109805,141440,-1,904016,699617,784121,-1,-1,-1,978838,861379,-1,-1,-1,342207,-1,-1,539075,-1,473068,771851,677888,-1,830857,810506,-1,776320,-1,-1,940523,997758,34774,-1,839153,623641,337350,-1,-1,568363,699346,-1,-1,191376,930955,-1,-1,-1,-1,-1,-1,-1,970578,415743,-1,235074,140384,-1,629511,-1,-1,115996,-1,-1,-1,-1,-1,-1,420885,-1,845236,122630,-1,-1,-1,-1,-1,-1,-1,396767,-1,407848,794702,-1,-1,527690,-1,-1,-1,-1,-1,55049,-1,-1,-1,-1,-1,-1,-1,637336,828755,857176,-1,926816,-1,34040,793986,807325,872043,639352,-1,-1,-1,-1,602688,838771,29805,-1,-1,236888,259157,861497,807876,312004,175866,-1,-1,-1,-1,-1,-1,21881,-1,757580,507718,-1,21075,290012,964943,-1,769433,-1,-1,-1,372043,831880,-1,722287,490616,787543,184414,-1,-1,-1,905839,-1,89010,476010,-1,463151,953723,257575,-1,-1,-1,-1,-1,-1,-1,247524,3060,801458,502203,-1,-1,-1,-1,214820,8439,171585,-1,193227,-1,105497,749588,-1,-1,-1,-1,-1,-1,176402,412626,298270,519891,-1,607361,427403,-1,-1,-1,594165,651121,-1,46985,806481,-1,-1,857281,-1,-1,32095,540987,708042,714814,-1,170921,-1,-1,-1,38011,532903,-1,-1,-1,-1,426066,118462,-1,674784,-1,-1,-1,450400,492766,77086,-1,885067,71510,-1,-1,370255,985765,-1,871109,976446,809916,994054,906905,145199,-1,622092,-1,392254,-1,-1,808934,-1,-1,-1,323964,581402,-1,-1,311357,652245,-1,-1,77628,-1,504005,-1,-1,939146,-1,765890,-1,-1,144392,-1,-1,553123,693137,-1,-1,42307,-1,67085,236599,-1,-1,-1,-1,-1,26642,-1,440557,333924,-1,-1,997718,-1,-1,-1,-1,-1,730208,-1,-1,-1,-1,-1,68310,334283,161333,657501,-1,-1,-1,-1,637796,441421,-1,879666,441996,-1,-1,570668,-1,-1,-1,-1,-1,882636,693889,169857,-1,-1,-1,686575,783944,-1,-1,-1,354160,-1,-1,148758,824218,-1,-1,-1,-1,841456,-1,-1,696989,-1,-1,986402,442342,244900,-1,343200,724227,206213,704941,13042,-1,-1,-1,-1,-1,-1,674841,-1,-1,-1,145310,-1,14784,606956,-1,-1,143015,-1,-1,-1,71106,294229,-1,-1,-1,971108,565619,-1,854689,690117,-1,-1,-1,557902,636438,-1,680326,453464,891450,791804,-1,338894,347899,-1,282510,-1,821244,-1,-1,572893,-1,-1,552672,-1,-1,-1,-1,229210,242823,-1,49884,-1,560274,-1,496590,103762,478435,62230,-1,-1,-1,-1,-1,138592,458933,-1,780367,841241,-1,814076,845435,-1,590609,340997,140744,775643,959919,287730,457526,-1,-1,811431,-1,125840,-1,262755,327919,-1,-1,-1,-1,-1,962179,-1,13956,-1,233027,431332,-1,1562,344985,-1,560467,-1,-1,698047,660698,-1,-1,870662,-1,913021,-1,-1,546210,173123,561419,-1,399295,115479,-1,-1,-1,726908,669001,934940,-1,78879,-1,272852,-1,-1,530468,-1,-1,-1,508568,-1,525032,632043,146425,-1,-1,-1,-1,734582,286318,-1,-1,-1,-1,946617,131595,-1,-1,785181,-1,89546,673803,-1,763985,23246,977489,366040,630450,-1,159764,224189,-1,46358,817102,-1,979093,-1,624436,-1,556913,250036,-1,302305,-1,-1,-1,9889,838446,87292,-1,-1,57570,222856,207134,204499,-1,772550,-1,-1,-1,321943,177108,235582,-1,324872,-1,-1,-1,221567,-1,752551,-1,-1,-1,-1,-1,-1,916742,119389,-1,-1,-1,-1,-1,-1,-1,-1,487837,-1,-1,910166,-1,34138,-1,994001,-1,-1,740181,-1,806695,567424,-1,524163,-1,-1,252385,369982,-1,-1,269791,795683,-1,-1,590369,-1,597895,-1,-1,-1,-1,-1,-1,429111,-1,-1,287446,-1,-1,920359,675304,-1,530974,177222,-1,331284,-1,-1,286218,-1,-1,-1,496358,749410,-1,-1,-1,473899,561275,-1,176815,229100,233515,-1,-1,-1,712289,-1,-1,-1,-1,918538,-1,607146,775954,-1,-1,-1,-1,606112,-1,705242,346094,-1,881744,823602,-1,33253,178420,83799,630386,-1,-1,9154,-1,-1,882040,-1,-1,-1,722729,-1,-1,194442,-1,-1,-1,-1,358008,671538,829557,977538,289906,672507,805038,117358,-1,953423,828173,601788,-1,-1,477098,646278,176654,590130,339005,878188,297606,-1,-1,64772,-1,414650,812446,51422,192697,-1,-1,-1,-1,-1,365810,-1,-1,-1,-1,-1,342521,72821,602575,374127,536910,-1,556105,811351,-1,37569,-1,493664,749217,-1,739662,955378,-1,813904,-1,-1,-1,-1,401502,710048,201425,217643,-1,-1,605109,714617,302266,316364,-1,-1,873046,-1,528523,722555,1055,733555,673909,332126,867670,5567,-1,-1,-1,-1,6825,-1,-1,-1,-1,509893,472540,472605,72360,-1,-1,-1,444697,-1,93890,105477,216909,492951,3173,831788,960280,566430,831626,-1,-1,-1,782381,646259,-1,757233,507402,667303,-1,573604,-1,-1,819534,700808,-1,15847,905691,758713,-1,145840,741187,-1,365834,74368,575009,-1,-1,116507,847040,-1,-1,210992,488300,801567,-1,105426,92973,405568,-1,704328,-1,-1,554094,153214,742876,197919,-1,336723,-1,800582,-1,913267,261619,836795,-1,-1,-1,-1,-1,623206,404245,-1,-1,194568,269030,-1,-1,414873,870717,-1,903047,-1,-1,-1,19122,400566,165612,-1,566777,-1,564271,-1,-1,-1,-1,121934,-1,-1,-1,76232,983953,620756,-1,176469,-1,91887,554971,587692,-1,800143,-1,747596,454423,-1,255699,-1,286640,400635,502597,-1,-1,-1,593185,-1,-1,-1,-1,-1,192380,-1,895290,235500,-1,872601,-1,-1,-1,-1,-1,810794,-1,846027,200912,-1,242519,416527,201174,-1,-1,916301,347105,206300,304210,59676,-1,556036,368310,180843,-1,66932,-1,497642,-1,-1,614708,344683,-1,-1,-1,-1,767633,-1,-1,112504,-1,625806,837255,172478,324753,-1,908856,396712,586315,630894,715263,-1,43326,703735,671931,538294,-1,374093,873743,-1,-1,400715,726812,-1,826771,78718,937059,795123,354831,251465,-1,-1,933253,39727,-1,-1,287895,700356,749887,616247,-1,212127,658830,426904,842082,-1,486134,702025,-1,429360,223744,-1,152835,354846,844841,75165,-1,260568,-1,492595,65381,540904,-1,-1,150771,-1,-1,-1,-1,-1,675685,557621,-1,-1,57074,527961,-1,-1,-1,923790,-1,-1,-1,-1,-1,567836,288078,187270,22301,981742,-1,140381,-1,703049,-1,831134,823437,-1,-1,-1,-1,508084,-1,495656,749102,790401,-1,503319,-1,-1,-1,752786,526682,-1,-1,-1,827959,-1,-1,-1,797307,383084,932709,-1,66769,308711,856532,529583,941208,-1,-1,483616,929856,-1,-1,481439,-1,-1,-1,-1,643955,263238,-1,-1,523465,766575,450648,990585,-1,-1,254045,-1,296112,526965,-1,-1,400713,27703,-1,-1,-1,-1,818105,-1,-1,928949,344992,-1,-1,-1,-1,-1,684690,-1,27820,298757,32863,-1,-1,725525,476488,-1,176229,494665,-1,962997,-1,941314,-1,714495,-1,-1,-1,-1,-1,548420,-1,-1,697982,979180,863473,554113,-1,-1,-1,857160,-1,28731,-1,301548,179883,-1,642693,691651,597478,262312,374741,373993,-1,-1,-1,-1,-1,-1,-1,629565,818061,-1,-1,144595,201024,-1,-1,904753,884420,-1,-1,145001,150195,322801,769550,-1,428746,-1,719757,-1,-1,433243,317636,151170,-1,-1,-1,704695,-1,976994,128697,-1,516668,59298,357346,530707,-1,566781,-1,726496,-1,925512,-1,29360,-1,112694,-1,-1,-1,-1,-1,-1,-1,533077,743440,69512,-1,-1,95448,-1,-1,783771,381492,101135,66318,-1,487534,-1,55628,-1,381781,960329,-1,623992,927717,-1,339129,984041,-1,-1,-1,-1,-1,67861,-1,-1,-1,-1,-1,429860,-1,483429,592779,-1,572928,252914,660394,887509,-1,899669,723693,404909,366808,-1,-1,172684,-1,-1,-1,541751,537970,-1,-1,-1,158905,796826,-1,268370,88327,868387,377342,-1,-1,-1,-1,155426,-1,63734,-1,165989,-1,714124,90941,-1,-1,845327,327198,31625,-1,902740,-1,-1,-1,-1,-1,-1,107626,-1,516607,-1,551539,-1,735731,159212,939363,-1,157896,-1,-1,-1,694547,-1,111636,-1,223997,257756,830075,177224,905616,-1,-1,360332,133802,958427,226124,-1,825648,-1,-1,215025,-1,-1,-1,-1,359937,867118,-1,-1,843967,19306,430138,197877,661628,-1,-1,638681,-1,-1,-1,-1,-1,-1,-1,269443,900947,-1,608600,-1,-1,203788,-1,-1,-1,-1,-1,-1,642640,134724,-1,559264,332045,162287,364934,-1,516735,825473,695604,360597,912274,-1,685994,-1,-1,908104,407480,-1,-1,987939,237234,288171,-1,-1,697601,23707,14735,-1,-1,-1,-1,59020,524433,-1,-1,-1,661665,-1,180965,-1,-1,174719,-1,571359,983736,-1,63714,424080,496863,256481,-1,661838,-1,463209,587741,738873,786481,-1,697058,-1,-1,-1,-1,-1,858038,-1,602272,323730,-1,-1,802720,430529,-1,14397,889254,384600,-1,554358,925590,-1,696355,104951,-1,188264,460877,-1,-1,446484,660951,-1,112622,-1,-1,746340,-1,-1,-1,-1,118156,542665,271386,-1,656468,28089,779814,-1,-1,938337,345496,-1,-1,-1,-1,380103,42155,-1,-1,955431,514270,417339,-1,399599,841230,-1,-1,-1,-1,-1,-1,632781,-1,-1,550634,77123,133837,462243,-1,987205,-1,-1,-1,-1,-1,-1,720751,440185,628219,776581,-1,945239,-1,-1,700991,-1,471819,43342,-1,-1,688531,671983,520777,-1,287512,-1,170328,-1,499948,585071,-1,579845,700810,-1,-1,667135,-1,455184,-1,180358,-1,205837,498918,276773,805431,-1,891655,-1,-1,96373,-1,130560,-1,-1,-1,483651,-1,-1,-1,-1,-1,-1,-1,-1,-1,491353,-1,692923,-1,-1,214846,826807,369386,376091,349780,959155,-1,-1,843627,-1,860132,-1,432878,612184,-1,156764,-1,989123,-1,-1,-1,953071,923301,457920,-1,-1,706527,-1,-1,-1,948494,-1,650837,193511,-1,-1,-1,258844,404871,112224,-1,-1,-1,39285,503526,924723,838292,377290,-1,-1,-1,671755,-1,-1,170940,695233,248070,333132,-1,-1,-1,81014,827264,-1,591427,-1,-1,-1,-1,242024,527613,-1,-1,901991,-1,708537,959988,-1,457142,-1,-1,556126,471125,268709,18970,181064,726871,-1,-1,106976,254668,192065,-1,-1,157341,-1,-1,-1,25789,838081,523627,656754,133387,90962,996710,99160,482027,635531,-1,878330,-1,979389,-1,-1,-1,994040,318212,595405,18959,-1,874527,184735,-1,84465,-1,853129,-1,-1,-1,-1,321165,467647,356520,546279,646872,-1,-1,-1,873211,978104,-1,892595,554290,-1,-1,258496,-1,-1,-1,216395,626965,-1,-1,852142,-1,-1,330573,-1,587190,318965,-1,814785,703678,-1,62472,176787,-1,277678,148321,418070,854828,867817,-1,329969,624421,679443,-1,-1,416565,-1,162069,-1,903382,608652,-1,-1,-1,384362,-1,-1,154199,190035,930489,102221,-1,-1,-1,-1,-1,-1,-1,672950,-1,-1,206689,693860,454783,416496,708965,-1,-1,131163,581755,136246,426660,680281,-1,311360,-1,830999,-1,885992,-1,303753,-1,988337,843411,-1,-1,956910,470742,132782,-1,-1,512446,-1,-1,148877,859001,901065,955357,-1,-1,-1,-1,-1,757408,-1,142570,-1,813120,606937,-1,-1,-1,-1,-1,-1,216071,53237,213999,-1,-1,-1,998991,56544,466190,657319,-1,3058,-1,639768,173230,-1,605183,-1,-1,-1,742868,-1,-1,-1,-1,245089,-1,884180,-1,537002,-1,-1,766488,-1,833986,-1,-1,-1,-1,-1,562947,-1,-1,423231,45761,-1,106117,-1,681253,390783,881956,-1,-1,-1,-1,49,324723,-1,-1,742774,168631,-1,166073,216535,377774,-1,952856,-1,665314,662965,993982,-1,867100,-1,-1,-1,934231,18476,965871,614938,-1,649510,-1,-1,-1,496903,657706,154881,-1,879991,10958,-1,23759,350495,324980,702242,306193,-1,-1,-1,-1,-1,-1,310366,-1,-1,-1,-1,600283,-1,151824,-1,141429,-1,67207,409776,-1,-1,-1,-1,-1,536539,-1,-1,210561,424098,67912,-1,814308,-1,-1,530510,-1,-1,-1,499502,266409,-1,817215,-1,22066,231,-1,-1,136325,-1,-1,397286,661161,-1,-1,-1,457228,-1,336025,-1,-1,713257,396338,-1,-1,-1,436837,-1,757920,-1,859835,72521,-1,916199,959147,-1,-1,45225,-1,329497,-1,129906,402028,511271,-1,-1,452356,150895,275525,-1,-1,-1,-1,-1,67415,748562,-1,150714,-1,-1,54744,64788,-1,383719,-1,-1,459201,-1,145695,264490,236964,458912,478668,131885,-1,77405,743878,8359,-1,720632,867286,-1,-1,652799,-1,-1,-1,-1,-1,969432,-1,557202,159025,-1,-1,34838,-1,-1,210050,880131,-1,818903,-1,-1,-1,693779,-1,-1,158467,-1,694332,133265,-1,863479,908647,-1,-1,-1,809550,673081,970401,338496,993292,-1,470236,336706,724373,-1,335058,801365,806592,716451,963366,809072,-1,205941,158542,-1,19728,318132,-1,374146,873107,-1,954097,-1,566662,-1,517663,-1,678382,45673,-1,548930,518151,-1,94205,-1,690699,237974,-1,-1,12865,-1,-1,124959,746975,-1,48186,-1,813557,377679,281141,928568,580231,-1,873532,-1,-1,-1,269335,712161,-1,274134,-1,440482,-1,713524,-1,-1,-1,-1,71890,916411,-1,-1,-1,108624,-1,-1,127677,-1,-1,654577,488415,806193,505591,139984,-1,790433,-1,-1,503300,724050,491567,-1,620957,65777,135301,-1,378319,587111,-1,652972,960791,-1,-1,-1,6487,-1,-1,720058,-1,-1,734092,-1,-1,86557,-1,158980,-1,969374,-1,541780,672938,-1,-1,779729,488411,-1,-1,-1,-1,-1,541455,199663,62571,291627,-1,46039,951172,-1,602655,-1,643834,-1,721707,626935,-1,-1,-1,285638,-1,-1,221842,-1,-1,957904,-1,230074,-1,-1,-1,23272,808476,860845,-1,-1,-1,-1,-1,-1,953657,-1,-1,915005,-1,-1,572697,760783,840048,-1,400137,64220,-1,5937,-1,-1,211829,615919,394084,-1,-1,-1,-1,-1,501537,-1,634558,-1,510205,-1,-1,-1,-1,-1,125010,-1,648277,-1,350490,414846,871438,-1,-1,-1,368669,978769,257302,-1,-1,265022,573520,645843,84118,-1,778288,-1,907929,-1,-1,-1,314375,441615,14468,728243,-1,-1,-1,-1,-1,943956,367162,-1,-1,177048,233803,-1,-1,-1,5574,456512,342025,-1,-1,671723,-1,142613,917842,259092,740777,790970,-1,960045,-1,51660,-1,220976,658344,-1,439408,560717,-1,568628,-1,-1,-1,275407,-1,906572,-1,-1,-1,220576,490508,-1,331188,-1,91226,863223,-1,-1,-1,-1,447250,-1,-1,55499,-1,-1,562906,413029,468417,490139,-1,848874,-1,234883,190783,924238,-1,-1,-1,765922,644694,-1,868048,26372,-1,-1,-1,530532,-1,895452,-1,-1,-1,143042,535146,686427,-1,-1,302826,-1,220335,493368,-1,-1,343619,281355,841862,-1,-1,-1,-1,61559,49040,-1,-1,459423,103854,-1,208209,385374,316489,185640,-1,485472,-1,638556,919847,-1,907613,-1,215269,726814,163761,395220,-1,-1,158465,-1,-1,-1,762799,-1,640820,219600,-1,-1,-1,767127,58239,453047,-1,-1,620489,47769,-1,506077,-1,-1,657576,26156,-1,-1,-1,-1,772333,-1,-1,-1,-1,-1,142629,-1,230213,510270,-1,-1,-1,713264,-1,-1,-1,719977,-1,43973,-1,-1,17361,994205,-1,-1,-1,-1,852608,-1,395692,854537,-1,-1,-1,-1,829979,-1,-1,850240,361765,-1,46556,534974,-1,-1,-1,-1,937687,29676,-1,-1,119843,-1,-1,923667,524114,-1,-1,616969,-1,-1,-1,414524,77042,860889,-1,-1,-1,72594,-1,52176,951964,-1,272087,-1,-1,-1,-1,693599,-1,-1,390423,308967,158196,448160,-1,81446,292268,-1,996400,806819,106943,875135,918459,-1,928972,508171,681823,-1,-1,-1,-1,-1,-1,271079,-1,-1,-1,432907,-1,-1,-1,749437,94413,-1,953539,-1,-1,965887,565678,156858,93505,836622,-1,-1,-1,-1,763253,708201,321971,25242,-1,479757,-1,-1,-1,-1,51880,-1,886148,202797,-1,-1,44236,-1,190263,-1,994807,-1,-1,255189,83061,955146,157438,568353,266055,-1,-1,1756,76248,-1,-1,-1,742329,150059,-1,-1,-1,-1,210981,-1,705966,-1,564954,-1,-1,91047,161813,-1,15973,-1,-1,-1,983772,969331,627493,663273,508458,-1,-1,131271,476844,-1,-1,25950,-1,460182,297828,845483,723734,-1,831132,-1,705992,945900,-1,770189,120244,780928,882416,-1,36967,-1,356330,-1,200696,908189,-1,845577,-1,19861,-1,803779,-1,967358,-1,-1,-1,520441,58077,940388,279646,3224,574126,-1,497244,811838,736578,135337,35349,928129,-1,224564,890766,436840,-1,411826,725668,-1,444824,-1,787744,-1,141186,963972,-1,622370,-1,738960,-1,266008,254229,247358,279051,-1,-1,754444,-1,-1,-1,63505,-1,310139,100221,-1,80540,87974,948273,-1,-1,705002,837010,386125,320442,837818,789524,499834,28856,-1,-1,-1,944139,-1,191927,-1,-1,25213,-1,-1,965549,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,180026,-1,828618,-1,-1,-1,813892,-1,-1,-1,543282,-1,757543,-1,544631,-1,634308,733837,535075,-1,995715,-1,464897,283012,-1,-1,-1,-1,-1,493574,806926,198330,-1,134713,2311,588280,748416,674829,-1,643615,546383,427413,22103,784133,39597,-1,248507,143621,876774,445902,-1,-1,-1,-1,-1,214577,-1,629789,-1,-1,280390,-1,-1,-1,-1,-1,425999,-1,-1,952579,464040,935431,-1,-1,-1,-1,464985,540589,142673,325520,608975,710403,227306,286933,285409,841023,-1,911563,-1,-1,-1,418854,407379,741752,704961,675565,-1,128022,369946,-1,-1,-1,658112,621259,-1,418213,-1,-1,-1,170552,-1,-1,-1,434635,-1,-1,983004,-1,-1,561993,-1,260036,-1,344340,-1,960741,304091,-1,-1,120661,529276,-1,600948,-1,-1,-1,-1,-1,23740,551107,-1,-1,-1,355625,-1,-1,-1,-1,376679,787754,973048,-1,-1,532879,-1,333254,277887,839388,58560,791074,-1,884013,884241,-1,-1,-1,-1,-1,-1,670792,765918,-1,733772,282687,275633,455010,981363,334324,-1,580832,-1,-1,477652,524456,-1,566835,-1,21109,-1,31528,-1,-1,-1,631198,-1,-1,162282,835903,-1,39231,862452,-1,430574,-1,-1,-1,611157,-1,-1,827019,342271,-1,-1,307571,669924,929339,-1,47871,-1,28684,542821,-1,-1,495574,-1,-1,833411,-1,-1,748699,64822,-1,-1,383539,-1,-1,-1,-1,54952,-1,-1,-1,627538,-1,-1,436807,13928,-1,587440,369712,-1,-1,328231,958359,-1,-1,-1,681351,-1,580704,60219,-1,-1,-1,998013,192978,341763,135276,725748,49490,-1,410726,-1,794385,-1,774158,126688,889361,812916,-1,-1,347162,459284,-1,-1,-1,-1,638055,-1,702697,641888,-1,47122,459472,-1,464832,738599,-1,534209,-1,362313,-1,-1,-1,646702,962752,-1,883251,-1,205328,239300,604931,-1,719739,-1,431749,848437,813699,747421,279333,-1,-1,-1,593223,-1,988390,420171,-1,851602,704927,768281,23344,769216,489500,-1,72336,68364,276747,65500,635944,-1,-1,889533,-1,-1,-1,455959,40170,335761,302042,-1,-1,69569,-1,774603,307783,-1,-1,-1,984360,73935,615001,-1,413219,-1,512328,249906,-1,869958,-1,647352,993291,60347,-1,-1,-1,-1,180495,162520,720084,-1,591198,17822,-1,-1,447554,901869,627716,507905,-1,-1,-1,946001,970889,745850,289749,-1,-1,11528,-1,-1,-1,-1,-1,489781,-1,405665,74281,569718,-1,629625,968686,-1,-1,579454,537430,656360,-1,777388,190840,844349,884913,-1,955379,124351,328263,-1,-1,937532,-1,-1,-1,59045,-1,721089,333593,915967,-1,791289,-1,873756,807401,-1,-1,315706,-1,-1,405102,221837,-1,101316,42347,136756,700467,-1,209395,-1,-1,242923,135345,697790,-1,-1,-1,-1,-1,873313,-1,54687,-1,587062,697321,24735,-1,211399,-1,801679,887333,-1,400522,-1,-1,-1,918584,811121,-1,504609,241237,-1,-1,-1,-1,-1,771797,155822,-1,695527,384079,792227,663676,506160,-1,-1,462192,28290,-1,-1,407422,355139,831025,-1,-1,-1,-1,-1,44223,-1,359940,-1,-1,-1,295066,-1,434715,252000,-1,-1,247591,-1,-1,-1,676875,233194,817609,774059,-1,-1,-1,-1,91009,-1,481115,-1,-1,642785,527077,-1,-1,140565,-1,592901,242833,660892,-1,-1,677009,329611,12369,728356,257077,-1,272293,396309,58487,-1,334849,-1,102452,-1,303621,215854,-1,344943,860543,-1,715742,-1,-1,-1,943620,680046,-1,80923,-1,-1,413000,438787,-1,235396,566857,311630,-1,-1,-1,-1,-1,-1,547104,-1,-1,-1,-1,850183,310539,-1,227953,-1,880632,-1,-1,729909,-1,806885,362507,-1,-1,-1,680338,-1,-1,-1,-1,-1,-1,-1,-1,520138,-1,226839,-1,913426,591320,594284,-1,594359,373972,60543,43712,-1,714159,-1,-1,111427,-1,207129,850648,-1,382404,124520,-1,-1,465951,673982,-1,575461,-1,-1,-1,-1,740259,113168,-1,-1,292680,-1,876496,704946,-1,-1,-1,727708,-1,-1,213727,-1,502484,496478,319863,-1,-1,-1,-1,317083,-1,240737,-1,-1,457585,643666,-1,393298,-1,613869,-1,-1,-1,905695,-1,-1,314593,109737,-1,-1,154301,567876,623946,-1,174613,910326,-1,356235,815374,-1,773571,-1,-1,185528,-1,371625,-1,774786,-1,990117,-1,-1,-1,-1,514489,204412,139433,-1,934558,-1,636241,-1,493731,284967,906978,947302,879640,-1,-1,-1,734869,-1,-1,766197,-1,893308,-1,834615,-1,-1,-1,524120,-1,28695,-1,387656,377083,763548,-1,623754,-1,-1,161541,-1,-1,-1,-1,711076,13342,-1,138917,89978,221874,-1,-1,-1,-1,497454,-1,-1,-1,256839,-1,-1,-1,-1,271909,316578,286277,338487,408527,-1,633186,553098,394972,-1,784421,-1,164965,-1,561745,346800,-1,-1,-1,-1,-1,570714,-1,-1,687547,-1,-1,682533,-1,-1,926167,756913,292607,685634,-1,95205,728109,-1,-1,314913,424378,-1,-1,-1,-1,344401,-1,-1,-1,-1,-1,-1,768277,-1,678731,-1,51801,-1,769139,-1,656188,971254,-1,756454,-1,784747,479662,923330,-1,-1,71956,-1,-1,967437,377838,-1,-1,-1,-1,-1,986671,979727,351401,757904,-1,-1,503284,-1,305644,-1,778185,-1,-1,-1,-1,29532,662789,901183,-1,696629,-1,-1,-1,711585,-1,684908,-1,435515,353879,-1,-1,17322,940352,-1,-1,944192,-1,311492,68264,-1,-1,924773,609463,-1,844435,850550,437961,-1,188259,-1,-1,81162,-1,-1,-1,713276,-1,-1,-1,924385,-1,-1,-1,-1,-1,625022,567893,-1,571033,-1,-1,-1,790279,-1,233148,671972,-1,-1,-1,74122,948152,-1,-1,-1,-1,53835,405501,340611,-1,-1,-1,26396,-1,-1,-1,-1,376699,118098,-1,-1,423410,227525,252917,474655,-1,-1,206258,846978,-1,-1,413575,-1,-1,-1,-1,-1,-1,-1,-1,281860,572196,57792,-1,-1,-1,490953,642933,358001,-1,118144,153248,225209,-1,-1,-1,665066,-1,312528,160844,-1,-1,326313,661502,943773,246564,829159,161903,-1,986119,-1,413574,-1,-1,-1,827577,529980,208578,215751,-1,817480,701084,-1,280391,-1,-1,323787,-1,-1,-1,-1,-1,-1,-1,895176,-1,835381,875944,647801,242691,-1,-1,-1,999796,-1,126783,601692,-1,-1,227220,-1,-1,-1,-1,-1,845886,295919,-1,-1,-1,540246,116250,702491,-1,-1,318423,-1,304343,-1,301840,157819,817699,465290,-1,-1,713202,-1,816448,172369,-1,-1,876004,424786,-1,-1,-1,251897,139651,-1,-1,573318,97777,716719,250704,-1,-1,-1,896894,148780,-1,-1,389752,-1,-1,940678,802757,-1,-1,539092,-1,839648,950368,269751,46539,408430,-1,-1,241946,782209,-1,-1,968300,-1,386011,175843,-1,264553,-1,-1,-1,410780,-1,-1,832761,-1,-1,-1,374414,-1,982025,-1,-1,-1,-1,-1,532240,-1,-1,231308,-1,188550,-1,903269,869475,73300,142033,431128,617691,-1,-1,781139,715729,-1,-1,-1,-1,-1,106716,-1,674268,-1,30265,-1,-1,-1,202343,-1,327072,-1,482474,-1,-1,-1,8377,-1,-1,815396,-1,68077,56687,-1,-1,882853,903289,417048,-1,-1,707753,-1,916061,-1,-1,-1,-1,-1,372832,428593,-1,59033,-1,-1,435602,-1,744428,733654,911781,144087,539980,523800,229922,370362,611898,962921,59147,379385,982247,-1,-1,458350,762604,418488,877709,420525,889309,-1,477230,-1,-1,665627,-1,-1,-1,931265,-1,-1,641968,-1,262288,-1,787882,-1,503860,-1,675083,724398,-1,-1,387762,-1,-1,-1,166294,311128,800532,550657,-1,929700,346295,243492,77861,-1,-1,27743,111851,-1,132420,-1,378243,-1,538934,932418,-1,-1,-1,-1,-1,523674,86317,-1,245746,482499,-1,916431,-1,-1,-1,-1,210780,-1,773616,-1,-1,966259,-1,-1,756532,-1,240718,628353,-1,-1,-1,464930,918884,668910,-1,-1,909878,-1,32530,-1,-1,-1,-1,-1,-1,-1,317026,-1,379734,864,-1,826451,664612,-1,-1,127934,-1,309200,279178,504807,-1,-1,100417,-1,-1,-1,-1,429608,512305,374386,-1,321615,387393,320006,709241,-1,-1,476252,-1,-1,493332,647845,301295,-1,-1,-1,-1,982468,342163,173304,-1,-1,223488,946723,-1,-1,548389,-1,127960,-1,562398,996441,-1,259625,-1,927367,-1,491819,19853,-1,-1,321235,353357,331802,369733,512192,313535,411630,68750,-1,-1,-1,161096,709843,429819,-1,-1,-1,-1,490632,-1,391821,-1,-1,-1,-1,-1,-1,-1,65829,-1,-1,854103,545007,-1,778680,872991,431442,120493,263987,829604,-1,522260,-1,227533,529799,-1,-1,15251,239810,936443,-1,-1,522253,-1,343970,721350,31140,476024,-1,-1,299554,758587,-1,475753,-1,-1,-1,-1,690964,-1,-1,123156,872298,-1,-1,-1,666934,-1,-1,-1,-1,786180,119409,-1,310294,-1,768348,972478,-1,36365,-1,-1,161249,-1,-1,401646,452184,560609,115128,512287,316365,-1,-1,264426,-1,-1,-1,-1,-1,66250,956857,57584,571914,598240,675331,-1,-1,459733,-1,-1,780755,-1,976984,-1,-1,476695,23738,-1,902174,305859,-1,-1,-1,721174,737097,-1,-1,-1,516912,-1,-1,558905,-1,946252,411480,613438,169687,506611,447470,-1,-1,-1,-1,323812,-1,-1,-1,-1,-1,609358,426347,66499,-1,-1,-1,-1,-1,182978,-1,959514,-1,922810,787106,-1,575230,-1,-1,-1,-1,215307,383918,-1,116210,181047,-1,-1,925280,-1,-1,648472,569926,-1,603274,992928,349153,-1,901003,901242,-1,289541,466036,-1,-1,-1,-1,-1,374853,433532,-1,-1,894098,-1,-1,-1,-1,330080,-1,-1,-1,835382,-1,-1,963300,891435,-1,-1,507173,-1,988126,689724,355186,140361,493143,758119,-1,103393,-1,-1,-1,-1,9922,-1,926801,-1,-1,364751,331776,494961,-1,-1,-1,-1,-1,900271,-1,-1,-1,46089,-1,-1,112615,-1,-1,829040,-1,-1,-1,456620,-1,-1,-1,845869,542126,672019,-1,45485,232837,794747,-1,12493,-1,862046,165381,-1,56800,-1,9372,-1,-1,-1,129472,607251,890442,-1,615062,-1,110965,733797,177448,-1,-1,-1,629912,-1,-1,-1,-1,811855,-1,549515,460651,-1,969140,801856,-1,268441,156669,967969,617787,795799,741204,498684,-1,642040,725235,665575,283656,-1,725305,-1,772497,560063,-1,912488,-1,33682,731047,410199,-1,-1,-1,968417,45054,-1,675580,-1,149918,-1,-1,905284,419052,480445,513765,449033,-1,873161,909043,-1,-1,809473,742176,-1,31749,842087,-1,510527,427287,166130,-1,469894,895014,615759,421292,243762,803303,472482,401047,-1,202357,-1,601493,758255,-1,300729,234915,-1,208459,604677,-1,861024,-1,922835,312795,-1,626703,-1,529585,113448,-1,-1,288122,-1,-1,941040,488431,-1,539831,-1,86618,-1,617332,-1,-1,292283,675646,-1,820855,-1,-1,997551,920894,-1,-1,-1,118016,-1,-1,-1,-1,553929,-1,-1,-1,-1,680982,28102,-1,267788,939671,-1,402954,945037,-1,51969,-1,-1,567705,-1,417420,-1,-1,238969,-1,-1,168141,-1,-1,872516,376017,-1,765386,-1,334633,-1,369364,-1,-1,-1,-1,83787,-1,-1,-1,612427,-1,-1,-1,-1,588946,-1,700501,-1,720646,-1,-1,152263,93282,290188,-1,-1,-1,-1,-1,-1,-1,-1,-1,503501,762883,-1,-1,142238,-1,-1,845748,357957,-1,-1,190465,213614,-1,-1,632949,-1,-1,577858,-1,344555,-1,172393,-1,-1,909072,723991,901491,432960,866919,-1,-1,641047,-1,-1,-1,-1,869891,-1,-1,100475,-1,-1,50974,-1,140392,-1,133821,-1,-1,269958,-1,261583,-1,-1,-1,-1,780020,271549,-1,-1,602519,699082,-1,705025,303787,409733,513464,-1,738827,-1,997132,-1,-1,-1,324617,62887,706712,-1,999068,101721,-1,262511,173595,904502,256280,-1,181689,-1,871211,445751,872678,-1,-1,-1,24438,459826,753203,-1,-1,-1,-1,599437,29980,-1,-1,880674,-1,-1,955945,-1,108889,509313,-1,-1,-1,-1,97362,-1,-1,-1,13545,147423,-1,-1,-1,-1,-1,542958,855619,713582,644968,-1,815442,223365,28111,114447,-1,-1,246961,17797,-1,493803,-1,787261,-1,68104,573116,-1,-1,-1,-1,678553,796160,373797,843972,-1,-1,410060,673744,-1,-1,14382,-1,465701,667901,488853,-1,-1,-1,749204,-1,732538,-1,908684,-1,569617,365658,875946,994467,-1,249982,-1,919402,-1,869722,-1,774138,46602,-1,-1,409998,-1,608003,-1,-1,-1,-1,17350,-1,-1,-1,295123,-1,255022,337289,83130,-1,-1,328652,58987,831094,-1,-1,214713,586428,857093,319984,-1,999218,767051,108279,489428,-1,-1,-1,-1,-1,-1,877848,-1,997276,-1,813237,-1,274028,97063,-1,-1,-1,-1,-1,654075,221047,-1,454270,414265,64932,852091,-1,313368,759334,640021,499968,-1,504929,781783,773843,-1,400136,8758,385616,336366,599444,153792,-1,613006,-1,966107,-1,832088,-1,-1,-1,98141,838829,-1,555005,88364,-1,182157,347020,68564,-1,308052,-1,-1,5957,-1,726882,437584,348040,428432,406226,190275,-1,780521,-1,742301,865691,-1,981201,-1,728741,-1,-1,-1,713627,-1,-1,-1,34798,529123,-1,762621,-1,-1,-1,410224,-1,452658,665995,541931,504920,956472,631083,-1,305689,-1,348368,457871,243415,-1,-1,-1,-1,-1,342142,112341,453531,87308,73785,-1,587953,-1,169007,643346,336691,894371,637420,-1,-1,474895,791029,-1,4134,553794,527489,627806,-1,225072,189797,-1,239118,760823,-1,621858,-1,911868,-1,116637,-1,226927,-1,-1,-1,156240,-1,309581,-1,973676,612113,174216,-1,483561,502707,643559,-1,623546,553329,-1,-1,901607,-1,197713,278588,-1,108987,-1,-1,859078,649680,834465,469630,30401,-1,-1,855757,843089,-1,-1,953702,100180,-1,671502,-1,538227,-1,-1,235602,513753,-1,-1,61022,-1,106901,151895,-1,150977,978297,578596,320812,-1,166597,-1,975075,-1,204501,14320,53563,-1,-1,-1,-1,-1,-1,723069,167663,-1,727144,-1,-1,190873,384682,-1,437962,52587,243267,-1,858077,805592,-1,-1,-1,184190,3258,10773,199413,-1,251952,-1,502604,-1,-1,77248,905600,-1,-1,-1,-1,259076,128092,-1,-1,-1,43811,539866,459402,366809,-1,-1,254471,472589,195204,461486,966489,258620,649659,-1,1238,-1,794221,-1,423490,-1,-1,350099,-1,434759,-1,913758,602554,218349,128123,19202,849,-1,-1,215883,-1,289242,669124,580096,361123,-1,-1,752813,977821,744052,981383,428003,-1,-1,-1,230034,614146,265956,851078,352507,-1,-1,-1,-1,945120,-1,-1,-1,543667,547394,885468,-1,900247,-1,-1,-1,766855,-1,-1,779946,-1,307046,-1,-1,-1,-1,-1,-1,15875,126037,80763,568475,-1,-1,411441,449613,-1,114967,-1,4008,-1,-1,-1,238822,783564,734322,-1,-1,-1,-1,180917,593546,-1,-1,-1,-1,-1,175497,-1,-1,940192,-1,-1,603397,-1,777031,706297,-1,372841,242698,-1,-1,-1,-1,-1,-1,92429,-1,-1,-1,-1,-1,-1,-1,-1,398881,-1,-1,632176,-1,-1,309895,242280,-1,746756,604865,-1,-1,-1,174433,478934,-1,741423,-1,-1,167390,-1,404368,-1,819122,-1,108254,89167,936901,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,239467,217314,558125,143992,381504,519272,-1,971464,-1,-1,-1,-1,999629,520696,-1,507587,-1,995626,814626,-1,569271,481915,135029,-1,-1,21037,432174,-1,248462,451504,536250,870706,259622,160382,-1,-1,857714,-1,851417,-1,806548,-1,-1,-1,-1,-1,506365,747959,518625,-1,-1,371141,-1,-1,530405,-1,643593,-1,628922,-1,-1,-1,-1,304346,947797,-1,759778,216738,538220,-1,321876,942568,319982,9268,734488,-1,1258,-1,-1,-1,-1,818849,-1,884624,34475,569031,116381,-1,752750,885405,109999,-1,785505,-1,512239,-1,576763,127653,-1,-1,-1,724022,359901,432371,-1,-1,-1,-1,146112,696551,277653,-1,-1,-1,-1,-1,602502,656504,-1,918700,953797,266378,-1,434159,-1,-1,458159,-1,662083,220568,628757,704473,280843,638208,741513,1215,-1,-1,35909,54078,-1,327757,268963,-1,746197,305497,713840,913792,-1,633543,-1,222462,-1,959651,978525,-1,41299,307614,498843,659577,-1,523921,-1,60882,436004,690262,219421,-1,-1,523018,-1,295975,713212,78395,-1,793426,-1,18333,118100,727015,196221,629580,124540,348296,-1,841941,-1,-1,-1,-1,691176,-1,-1,511375,-1,673088,743385,-1,106439,-1,486540,422687,633701,-1,-1,-1,307916,14508,532587,-1,-1,473850,671984,674130,-1,823481,176919,822357,617867,-1,731103,-1,-1,-1,-1,-1,514768,-1,695356,655841,54126,408727,-1,498204,-1,65523,164265,-1,-1,-1,134330,543328,854967,-1,-1,403424,-1,18912,151540,852209,30164,-1,569255,-1,108412,208787,17801,414843,626123,-1,214729,637625,-1,-1,-1,660028,-1,-1,86864,835212,21193,741855,-1,-1,-1,-1,844358,-1,651186,332244,901727,730701,615026,768288,384818,838280,506002,496828,-1,-1,45342,-1,129426,46273,801648,446066,-1,500685,-1,-1,494304,976486,931626,429103,603637,-1,126959,774867,402458,-1,-1,83068,-1,-1,238945,681773,-1,-1,-1,-1,-1,-1,181968,224413,-1,-1,88351,278458,-1,18046,121755,198371,-1,688782,679154,673234,603220,-1,-1,-1,-1,863843,-1,-1,-1,-1,986009,667409,125005,-1,480896,-1,-1,110995,801116,-1,-1,401761,-1,-1,-1,718257,193601,-1,336891,-1,439796,-1,189488,556413,70821,-1,-1,130352,601475,-1,-1,-1,330500,-1,-1,993714,819369,651376,50573,-1,153395,-1,-1,-1,-1,186259,-1,428825,269155,114646,495720,161471,160500,-1,297123,814061,-1,170326,-1,60331,599870,705853,974237,617201,485967,-1,958609,793322,-1,-1,-1,113527,-1,963125,736389,100043,405676,-1,553268,790004,-1,-1,147283,984231,-1,341657,-1,927410,-1,430012,-1,997153,335365,271407,-1,460111,539029,-1,203751,950941,-1,32063,693998,-1,-1,-1,641788,75159,229801,798737,690301,-1,-1,852793,-1,625349,953756,431407,-1,-1,301615,-1,514861,-1,752429,570711,-1,865171,-1,-1,388299,64186,-1,-1,-1,631648,-1,59940,-1,-1,824647,809310,579239,-1,30358,457412,-1,-1,-1,767041,-1,-1,-1,-1,563262,774726,175202,134090,-1,-1,674476,-1,991925,944750,-1,956644,98857,-1,530766,-1,54782,-1,94489,901277,170363,-1,-1,-1,-1,695643,-1,795845,294328,-1,685460,899104,777670,852049,599890,-1,667176,518972,327174,339894,-1,-1,203737,-1,-1,-1,-1,-1,-1,425059,-1,-1,-1,338578,-1,-1,966907,-1,398983,-1,-1,699939,372672,-1,-1,314438,826594,-1,-1,522613,-1,-1,-1,-1,900127,-1,788993,856466,-1,-1,-1,-1,850848,855012,-1,-1,702324,844873,360386,473978,-1,476598,-1,-1,770933,-1,-1,-1,-1,-1,-1,-1,-1,412701,143799,889214,-1,-1,704507,1869,-1,362445,-1,78818,304795,-1,-1,-1,-1,2925,573497,737009,-1,859449,378332,333305,807047,182162,129324,125739,-1,210651,959673,-1,238329,-1,-1,-1,-1,-1,302871,868101,633877,987553,154124,-1,-1,-1,94709,77807,70517,799371,455984,310585,-1,893960,-1,-1,-1,177965,-1,347157,-1,853113,-1,415613,-1,-1,949205,-1,218308,-1,-1,-1,745011,-1,729180,-1,774640,-1,915257,12125,-1,-1,160856,-1,903257,916208,990675,-1,883370,304420,866769,-1,525539,-1,996123,662729,-1,-1,31591,-1,406764,67826,-1,290280,843639,205719,-1,-1,-1,258873,97974,-1,-1,-1,-1,-1,-1,-1,-1,340688,467977,350427,-1,-1,-1,-1,-1,-1,831745,-1,155858,270747,906208,543602,-1,66022,616037,-1,288513,-1,933947,-1,-1,-1,-1,148043,36506,-1,-1,-1,64749,743139,-1,954189,887833,-1,307971,-1,963034,-1,-1,-1,684194,-1,520921,330783,202094,-1,-1,-1,665444,-1,-1,-1,165069,284918,75233,-1,-1,-1,-1,-1,-1,-1,625225,-1,720594,338531,-1,-1,-1,536421,-1,835156,881939,-1,815817,431977,60390,739941,765489,-1,339180,-1,-1,538718,-1,985748,-1,200931,-1,41624,860594,33849,79452,61304,989311,112485,468493,-1,822112,-1,228328,331305,181963,-1,-1,-1,-1,768407,-1,-1,749285,590916,-1,184723,131287,793071,664439,131947,870300,-1,976692,-1,231332,325812,-1,752590,673660,-1,-1,-1,431649,-1,-1,864649,-1,841995,-1,588283,-1,487814,358157,627794,-1,95326,291876,-1,-1,960299,953625,-1,189448,-1,468432,-1,-1,-1,-1,-1,669968,303474,-1,159485,636838,135143,-1,-1,-1,-1,-1,134669,129359,-1,-1,604133,735299,686918,-1,961906,-1,98597,451977,301748,-1,46700,310864,-1,-1,315564,-1,-1,239101,762774,717872,-1,713818,-1,-1,-1,-1,373189,184624,394172,995009,-1,230863,932849,887148,225605,513336,737895,623377,608680,-1,-1,-1,-1,999786,-1,-1,72254,813862,144108,-1,447134,975762,7531,943147,-1,914204,424873,491038,-1,-1,523104,-1,-1,-1,-1,-1,36181,-1,210058,-1,-1,279320,-1,-1,649880,-1,590072,-1,696541,-1,-1,-1,303989,-1,385654,810649,247439,-1,99570,341019,-1,947717,381579,532059,444005,-1,-1,-1,-1,601890,521574,572344,705781,-1,-1,-1,16365,84617,410487,-1,49180,584560,288422,832482,-1,892609,175928,411574,-1,872639,-1,789089,-1,580734,268172,-1,63246,684942,-1,346972,574160,-1,-1,216228,-1,899420,-1,680772,-1,-1,-1,436339,807402,501020,432815,-1,-1,109389,-1,6208,-1,-1,30967,620645,-1,-1,103326,768154,-1,714416,-1,951744,-1,-1,272280,-1,-1,782498,-1,14586,-1,-1,8717,-1,835574,-1,-1,-1,-1,56891,877890,-1,202516,-1,-1,-1,-1,927627,-1,845694,-1,-1,-1,961104,-1,84474,57669,322054,311791,760713,180976,967918,862522,-1,-1,291324,-1,438873,-1,-1,269973,208377,840881,730214,-1,482997,363988,84369,472327,-1,-1,251642,39373,891241,628518,507456,873269,826124,957257,-1,289186,248713,959179,285110,-1,-1,287223,-1,305078,207105,-1,517648,-1,-1,-1,172385,-1,-1,-1,527809,648394,-1,2403,-1,-1,-1,736638,-1,43318,874698,-1,-1,336233,471579,788330,15434,353236,393939,581380,562932,195189,388071,803034,404636,-1,405598,-1,586378,276443,885357,-1,986517,697037,803622,-1,623705,-1,247775,596582,-1,948198,651744,312613,-1,658598,-1,-1,-1,-1,968659,924108,-1,-1,-1,199500,-1,447038,-1,-1,141057,861060,-1,214657,-1,-1,-1,-1,974974,-1,355854,-1,-1,-1,880274,718316,770178,47541,637351,452910,603878,-1,635925,871091,-1,127465,88228,-1,-1,-1,35977,-1,-1,755680,-1,95538,749925,-1,-1,-1,-1,-1,448695,-1,367631,-1,532278,194640,221454,-1,768751,-1,-1,-1,450000,672543,970703,274797,-1,955334,-1,267761,-1,452614,309768,-1,100912,-1,78884,269689,-1,-1,-1,-1,-1,297602,-1,-1,-1,-1,-1,626668,-1,703692,724002,589609,-1,246260,-1,99059,-1,-1,-1,-1,493126,240290,115032,548321,-1,-1,724286,-1,12166,-1,79838,164799,-1,-1,-1,-1,922052,710301,-1,-1,-1,-1,793898,-1,-1,384740,-1,784376,841275,295346,-1,733719,601658,-1,931280,392884,-1,778492,736762,498012,242768,-1,-1,-1,-1,6696,-1,368724,-1,593680,995755,-1,-1,801863,818650,-1,-1,-1,261796,-1,718977,-1,-1,384587,-1,-1,757156,153123,645628,758954,-1,-1,913126,-1,498631,-1,-1,823956,-1,427943,808243,-1,482103,607703,-1,-1,-1,-1,225240,-1,689018,713005,-1,-1,355078,-1,42756,-1,819156,609758,464011,-1,13036,372450,860361,-1,-1,374427,729143,385887,-1,188624,-1,-1,931890,-1,419110,356636,-1,401277,233977,903541,450523,-1,-1,-1,110024,-1,-1,-1,-1,-1,100860,-1,-1,16805,-1,629497,-1,-1,-1,-1,984913,944671,-1,835244,-1,-1,697719,-1,381563,-1,950297,702703,712432,891316,-1,-1,11237,-1,-1,796079,-1,270369,-1,-1,-1,803233,206028,-1,903429,877477,653327,-1,628730,60138,-1,112729,179127,437229,-1,140163,-1,269809,470220,145602,-1,296858,-1,282773,-1,-1,-1,-1,-1,196330,-1,-1,-1,535178,-1,929477,751081,-1,-1,830234,23173,-1,375837,819016,-1,559837,-1,-1,-1,-1,429370,-1,-1,662423,258419,556106,-1,-1,587191,598696,114555,-1,878790,-1,-1,-1,832104,-1,-1,-1,130904,777804,-1,-1,-1,990751,469525,584585,980317,325971,786134,-1,-1,-1,-1,384845,-1,-1,33793,422518,-1,569914,-1,192526,6075,599649,-1,-1,689559,836982,574844,796441,447731,784775,-1,333511,679008,129514,-1,651920,-1,-1,579477,291547,-1,-1,-1,-1,-1,502107,-1,675672,-1,-1,-1,-1,740320,607097,571653,-1,-1,-1,531369,683118,-1,66548,-1,-1,-1,390776,876504,-1,-1,666471,295194,227342,-1,853387,-1,434746,836521,-1,347697,-1,297032,-1,-1,858292,340627,-1,-1,-1,880626,-1,584347,-1,752791,825865,522422,-1,-1,-1,-1,-1,-1,-1,-1,236199,-1,579095,-1,-1,496732,-1,-1,796564,189492,-1,-1,928187,-1,742368,867846,-1,-1,48739,233721,584186,-1,199103,851933,-1,-1,-1,120200,456114,-1,-1,867757,852576,617396,244521,984201,640331,893955,768156,916250,720734,590971,660459,326241,-1,-1,-1,-1,-1,803824,-1,561270,827164,-1,-1,713114,-1,159736,393127,243873,515831,-1,-1,839024,-1,55043,585546,38067,-1,477756,-1,53379,-1,-1,356810,-1,-1,-1,230133,354447,-1,480327,55944,-1,616243,694799,884351,809640,-1,156337,-1,973389,400413,-1,-1,423282,-1,988549,-1,-1,-1,-1,-1,629232,-1,503968,-1,-1,-1,-1,-1,-1,239183,-1,55412,300778,-1,731643,371333,438536,604416,985805,-1,977874,-1,-1,-1,-1,-1,-1,750735,855014,-1,-1,-1,-1,-1,-1,728566,766801,-1,-1,167744,53627,107688,-1,262870,842169,-1,-1,-1,426723,-1,11330,791702,-1,258181,524694,198538,-1,447453,410612,-1,-1,686879,284661,-1,275539,559850,685104,-1,746074,245916,-1,320801,496774,-1,394471,202374,841274,-1,-1,-1,-1,72758,-1,135692,957844,-1,-1,-1,45603,-1,-1,422581,-1,-1,-1,-1,9962,-1,173651,234950,846112,463135,-1,-1,168664,-1,187268,733568,180321,772716,890014,456455,-1,589475,-1,475936,449883,-1,139269,62821,95262,304945,-1,-1,623510,-1,457923,-1,568706,938303,-1,-1,-1,154626,-1,-1,30789,-1,504316,250140,300182,224455,-1,-1,909790,103514,-1,269522,-1,-1,-1,903933,660685,-1,-1,86043,-1,909227,149630,-1,182127,712202,-1,715253,-1,-1,810185,566162,-1,-1,475836,-1,544265,123090,-1,639703,99576,-1,204897,259672,668076,591885,354958,236526,912828,708999,932167,600242,-1,6871,-1,450016,630597,-1,-1,800085,615586,757073,-1,96248,963555,-1,751755,-1,-1,884942,-1,822738,-1,-1,392141,-1,-1,214976,-1,677488,10413,-1,919896,-1,-1,-1,119756,-1,-1,-1,-1,262538,508734,-1,-1,89824,-1,456760,-1,514906,-1,668475,510887,-1,-1,-1,-1,923595,278801,281332,-1,1578,315003,220419,-1,505508,-1,691563,618442,-1,823270,384078,-1,-1,-1,551699,-1,47860,-1,739132,-1,-1,297541,827744,-1,812324,-1,189832,556364,-1,203612,912603,-1,-1,-1,-1,479015,389908,-1,-1,-1,-1,-1,378704,802807,215711,-1,647234,-1,-1,-1,-1,-1,-1,-1,-1,423522,908052,-1,-1,-1,-1,-1,-1,-1,-1,-1,99621,-1,-1,-1,-1,73735,-1,-1,-1,738248,-1,-1,-1,90249,-1,-1,-1,798093,371151,-1,891268,-1,467845,679336,9546,-1,648079,686552,42273,739921,695076,-1,166420,970553,744351,-1,-1,-1,33332,-1,-1,-1,582879,906362,940580,-1,-1,-1,242526,451720,234283,84564,-1,99497,813898,520623,624087,468170,686250,502016,48618,319285,-1,-1,-1,-1,10005,-1,594236,218050,747676,558575,620031,778878,246579,132076,277394,598320,36233,427577,-1,-1,577591,782890,313986,619044,783332,370229,-1,-1,-1,128581,-1,953533,-1,-1,-1,949992,398399,-1,-1,-1,-1,228329,-1,829062,409554,606708,-1,-1,-1,221214,-1,837369,548049,184030,644112,-1,267032,-1,-1,-1,-1,163408,257278,-1,110438,-1,744461,-1,-1,629685,511773,146183,154479,133746,545251,854110,-1,876119,-1,618097,-1,-1,-1,597593,-1,543746,-1,329545,-1,93174,-1,874414,54095,908444,-1,260744,281080,-1,-1,-1,554715,-1,618529,688418,-1,539246,-1,209471,-1,832013,532248,620496,-1,-1,800162,484079,-1,-1,-1,-1,-1,317372,-1,822420,654754,-1,-1,-1,615165,-1,67580,48946,775779,293034,-1,-1,989671,401385,-1,-1,717460,-1,-1,169519,507061,305620,767764,535399,109652,335132,795813,521812,-1,-1,-1,-1,-1,-1,698206,669834,928582,610272,521517,485066,-1,-1,-1,746332,-1,-1,580562,749299,682339,-1,425229,-1,11166,118277,303891,208177,-1,-1,-1,719954,-1,874906,595880,565166,553560,561565,-1,-1,43822,924523,-1,-1,2532,345447,169740,210387,660101,529990,-1,659384,-1,823943,714376,-1,-1,-1,-1,12607,91888,-1,-1,932484,-1,-1,-1,-1,-1,563529,-1,290256,-1,-1,-1,531796,-1,846416,-1,170982,-1,608547,22451,-1,-1,911234,-1,800770,805952,-1,-1,-1,-1,269084,-1,-1,-1,-1,586226,703335,212104,-1,-1,-1,991969,-1,996614,366049,-1,-1,602099,738158,851619,-1,645629,151051,-1,221906,-1,905964,337554,379703,882868,-1,-1,170484,-1,-1,572293,-1,836291,-1,851988,-1,-1,705397,-1,524863,125672,-1,-1,-1,-1,-1,-1,307163,999331,370985,600157,-1,45640,233763,-1,-1,567878,-1,659259,312717,356678,-1,575579,-1,-1,-1,717104,-1,-1,-1,480430,-1,-1,-1,63711,610430,-1,560333,-1,-1,423043,858753,345765,-1,-1,971806,111305,-1,-1,404538,703911,581265,950677,900843,-1,161961,966205,490966,716637,33064,-1,-1,-1,479878,-1,79141,702310,943802,-1,138938,996682,553158,231957,-1,-1,-1,752232,127122,-1,888093,235936,546832,-1,17689,241464,-1,-1,-1,-1,251513,553576,406262,-1,82280,605540,985222,313994,54919,681520,-1,-1,-1,-1,956143,629135,-1,573842,142951,-1,852810,-1,37385,753386,440145,850285,406287,822730,-1,405327,-1,-1,332927,-1,797068,756306,835062,877447,135864,-1,821330,909467,78631,-1,-1,383283,-1,-1,-1,-1,-1,255400,-1,484270,653759,-1,464718,-1,-1,392489,-1,-1,-1,-1,642365,-1,552908,-1,555002,287664,-1,641078,-1,115460,349241,329130,-1,-1,866594,964102,610305,464649,88196,618808,696873,-1,-1,-1,-1,-1,393368,742757,-1,429325,213976,-1,4375,-1,-1,-1,160156,-1,69588,461903,187108,100416,771158,134069,389021,-1,-1,678692,-1,192406,-1,-1,-1,-1,443647,568453,57735,136364,42409,-1,-1,-1,-1,-1,338103,815058,-1,337781,-1,460261,111907,916418,-1,-1,811271,-1,672945,964824,-1,-1,-1,-1,-1,-1,-1,-1,-1,26505,224647,325711,-1,-1,183662,-1,-1,-1,-1,105932,-1,940078,-1,-1,-1,-1,538046,-1,-1,-1,-1,-1,-1,-1,-1,757604,-1,-1,-1,290921,661091,-1,568205,491105,436850,-1,851945,149518,-1,635094,-1,570907,768097,618061,853905,-1,506157,470850,-1,-1,-1,-1,-1,-1,-1,598617,567050,-1,643658,985198,-1,-1,790415,-1,454753,783629,-1,-1,-1,-1,-1,548574,-1,-1,-1,568946,-1,766332,447484,-1,479304,189368,237206,-1,-1,-1,-1,129,-1,-1,28842,-1,-1,-1,-1,727383,327913,-1,-1,712451,-1,653558,854479,773514,556736,301617,489822,-1,-1,-1,880935,-1,853769,350479,-1,856514,249805,-1,-1,22168,-1,-1,-1,595419,-1,-1,858391,-1,-1,95669,-1,-1,1376,-1,599214,-1,995169,-1,-1,-1,686567,4064,-1,-1,767518,-1,393132,344331,773932,464321,201046,-1,245541,-1,-1,841893,-1,175131,-1,525095,370812,680093,308957,94247,792797,-1,896027,367191,-1,-1,-1,946057,617204,-1,646809,-1,181726,119571,-1,-1,55743,-1,-1,949520,221456,-1,32136,-1,-1,965254,386826,439978,-1,-1,-1,-1,978699,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,846826,631917,110390,707598,-1,-1,940966,231721,595502,575607,-1,739166,567220,620504,-1,751708,-1,-1,-1,-1,-1,-1,-1,-1,-1,382167,618229,922121,601144,-1,-1,-1,555460,-1,-1,561780,-1,-1,879188,-1,884089,-1,-1,-1,-1,489582,-1,-1,427182,636203,-1,-1,216246,219255,-1,-1,717883,-1,-1,863210,-1,399950,-1,-1,128625,256691,712108,-1,-1,565340,45914,679120,-1,-1,-1,-1,-1,885996,932914,201518,220350,590061,-1,-1,71080,49611,-1,565041,898062,-1,239538,-1,871745,-1,-1,-1,-1,-1,28,-1,-1,427512,913036,-1,-1,435288,-1,96252,710235,148755,194155,804280,97537,721167,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,373293,786323,258953,-1,-1,-1,-1,-1,-1,-1,-1,484876,-1,49627,188394,445844,801134,598989,-1,360309,-1,178861,-1,189634,-1,-1,971607,864573,-1,-1,-1,679895,66300,-1,-1,28231,-1,530880,-1,206019,-1,-1,-1,-1,436,705685,-1,229245,-1,-1,-1,514276,-1,-1,171296,183516,782584,-1,71470,-1,-1,901967,-1,-1,861219,-1,-1,406721,449650,398864,343053,-1,246323,422192,-1,780934,-1,929990,-1,46858,-1,-1,488831,-1,398889,780979,-1,-1,382434,464047,-1,-1,-1,339742,519877,-1,574903,584708,60682,-1,278206,-1,463097,639037,-1,-1,-1,617508,499766,487664,231104,-1,901104,-1,557339,-1,-1,339340,-1,-1,631895,-1,-1,-1,474317,-1,-1,91567,345709,535951,-1,-1,485711,-1,465044,655955,-1,-1,-1,777496,-1,438192,-1,752419,509120,-1,-1,-1,427000,323635,495101,10499,-1,-1,942981,993119,967963,292172,327303,-1,-1,-1,-1,-1,219167,318591,705324,-1,618609,717935,508723,278857,-1,-1,573610,518694,-1,-1,-1,-1,-1,-1,-1,-1,192687,-1,725887,-1,-1,682840,-1,459377,-1,-1,786975,592739,-1,-1,410411,919128,-1,-1,308647,-1,755263,-1,-1,405226,-1,-1,346872,769040,400077,-1,918151,425158,-1,390006,534569,-1,-1,408076,335877,-1,159756,-1,831780,777041,680716,-1,-1,-1,433537,53860,-1,-1,787647,318824,-1,-1,-1,517190,760358,-1,-1,859617,412846,-1,631053,-1,914290,-1,-1,-1,498371,833376,257704,-1,-1,-1,-1,-1,590212,749037,63803,212849,385315,182269,520376,-1,418489,249489,-1,-1,171973,700780,-1,345116,719068,-1,919558,698857,416952,21569,567236,-1,538377,870967,-1,507498,-1,78235,-1,-1,450899,-1,-1,-1,-1,748675,-1,481485,-1,500882,143175,90332,-1,170705,-1,401907,-1,172298,488062,-1,483930,746988,475033,-1,619287,86685,-1,235890,-1,838843,58900,-1,276256,129440,-1,96930,305474,-1,420961,971482,-1,-1,-1,637800,-1,179321,-1,-1,-1,488430,-1,-1,1011,533673,-1,928630,206450,201164,352420,272466,842734,324326,-1,-1,-1,930026,235064,810530,-1,811939,-1,-1,-1,-1,309704,-1,252542,371214,103656,-1,-1,-1,597082,255724,-1,68462,-1,-1,-1,771104,745260,-1,242681,-1,598722,-1,-1,961380,691726,530392,463526,299778,384418,-1,-1,742596,448951,74355,-1,154098,-1,529937,897020,753859,-1,-1,-1,-1,-1,-1,-1,-1,541483,-1,164880,603891,-1,-1,-1,-1,175109,993940,419373,430221,914191,-1,878071,707853,-1,-1,-1,-1,683392,370998,781847,14027,495187,-1,-1,88865,-1,522763,862151,888037,-1,5040,453455,-1,-1,445471,-1,-1,-1,-1,683471,131744,-1,756768,41482,-1,-1,437996,-1,163190,-1,-1,461391,685118,-1,943945,-1,344380,45422,517192,458214,-1,159750,502078,-1,-1,-1,646830,-1,724608,257999,-1,749482,-1,-1,-1,754666,546428,-1,911727,-1,89949,-1,323313,-1,942617,-1,41344,-1,-1,-1,-1,-1,693528,-1,24206,-1,362475,61885,-1,259938,833397,-1,-1,-1,924215,-1,-1,958667,923692,-1,-1,-1,811557,-1,-1,-1,-1,-1,947108,10498,192038,546749,138485,-1,-1,159356,275400,672181,864139,112585,684919,-1,-1,-1,-1,-1,-1,-1,727600,-1,817302,321681,278937,-1,-1,-1,-1,896778,-1,528909,-1,505097,52712,450790,750292,597511,-1,912096,-1,311153,693229,473446,-1,806952,-1,-1,-1,-1,648454,361199,492415,598541,557083,-1,759812,42376,-1,-1,460850,-1,-1,-1,392345,209274,877411,-1,-1,798389,904327,491864,-1,390002,719522,702854,2719,842225,531583,870173,-1,844668,-1,429429,170437,-1,146015,563120,442272,33533,-1,-1,-1,319832,45777,-1,-1,-1,568560,33561,-1,-1,726114,-1,774675,183269,279766,-1,-1,-1,858479,-1,-1,-1,-1,-1,613768,-1,-1,-1,-1,402755,285923,805484,-1,-1,596497,-1,783762,-1,32385,-1,566230,-1,-1,935880,45562,461036,-1,-1,635043,-1,881498,535329,132868,74597,-1,-1,12037,961168,-1,353379,-1,769263,387331,-1,278638,159863,-1,516885,703959,-1,817144,-1,707437,-1,-1,906535,-1,475183,550808,113165,270597,990831,329108,-1,-1,879338,-1,-1,713232,-1,204694,399943,640714,600032,-1,177429,938853,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,493252,-1,-1,986549,743351,151627,286788,842519,-1,-1,358469,386340,-1,-1,643073,133541,334867,-1,137990,-1,124054,979358,436500,-1,334063,-1,359895,749393,542899,859222,793157,-1,934986,-1,-1,773138,-1,804004,-1,-1,200496,-1,721865,-1,624891,-1,479826,-1,383608,447353,236522,-1,828228,888273,-1,220411,-1,-1,362902,-1,-1,-1,809499,-1,-1,-1,233876,444592,688353,525695,-1,-1,-1,-1,38637,-1,791924,-1,808775,814691,-1,481331,-1,-1,-1,-1,-1,817826,7826,-1,-1,-1,-1,900858,-1,-1,-1,652548,-1,122401,-1,260920,-1,-1,-1,838679,233579,234385,213142,609118,391368,-1,-1,-1,-1,258061,863677,182235,514026,-1,-1,-1,-1,-1,-1,-1,558602,-1,211853,-1,176733,785336,485568,856051,667919,-1,-1,-1,301874,374882,365644,-1,602864,-1,-1,-1,271883,243803,-1,-1,-1,-1,-1,-1,241657,629241,987313,960321,322084,57283,-1,-1,-1,911505,-1,263442,408619,881035,585851,-1,479702,471371,394442,-1,-1,108597,-1,446445,720114,-1,-1,-1,-1,-1,101896,658720,-1,-1,559195,-1,-1,-1,340327,-1,-1,-1,811931,755154,594307,-1,589297,7771,-1,550054,-1,26130,748397,-1,-1,753423,561378,548472,73331,625598,114111,888185,-1,-1,492133,330546,46180,781406,-1,-1,862331,-1,-1,-1,297852,-1,435031,-1,-1,-1,-1,-1,283920,-1,215293,252073,-1,-1,833104,679401,-1,-1,-1,498625,120837,-1,600559,-1,144409,524711,169688,-1,-1,-1,793678,857384,-1,83674,-1,-1,-1,335348,935650,121590,-1,-1,42202,465211,738037,886941,634865,-1,-1,825969,-1,-1,783940,760896,-1,-1,-1,-1,-1,480618,34391,698150,377073,-1,293144,131416,622861,997586,263747,-1,-1,323495,958664,-1,577981,-1,-1,-1,39429,258325,606994,-1,-1,-1,-1,722977,-1,-1,-1,-1,-1,-1,-1,-1,469067,-1,914705,-1,580650,532624,767,-1,771528,540540,-1,100394,-1,-1,-1,264650,531734,-1,27624,-1,828186,-1,531709,-1,-1,-1,261559,-1,-1,-1,949363,-1,407501,431628,-1,953157,-1,738570,150617,-1,589233,4540,-1,177864,897740,90825,535815,244807,-1,385465,960406,383570,75993,180211,817532,850667,232213,724111,875071,-1,564581,-1,658078,776198,-1,136065,237883,903061,891608,-1,706100,854752,621915,-1,457430,-1,-1,-1,-1,-1,700923,61505,400294,445773,-1,503984,821865,-1,-1,-1,-1,-1,-1,13614,-1,-1,603963,-1,638283,-1,-1,-1,-1,879278,404475,-1,358204,941755,932313,-1,333554,8885,-1,984063,21639,-1,-1,633736,-1,-1,-1,-1,606221,990085,137992,262421,181633,90469,255959,-1,350395,983373,-1,-1,200580,889276,737472,976235,-1,726841,287509,-1,-1,-1,-1,242656,934159,-1,577979,11827,-1,-1,-1,-1,-1,124667,-1,347178,363924,-1,596038,-1,-1,-1,997185,-1,-1,963667,-1,184503,721951,933463,668454,484935,-1,63315,744425,-1,239165,-1,-1,266022,393652,-1,841499,-1,787676,-1,-1,-1,677240,341862,-1,785795,545546,-1,750033,-1,931186,669960,845410,165214,-1,313689,466566,-1,-1,659946,804387,167635,60291,-1,325712,-1,792495,945839,-1,120893,553581,484904,179370,20008,-1,248690,304520,-1,-1,-1,-1,912248,-1,-1,350012,-1,848276,-1,226189,-1,-1,40809,-1,342081,-1,861755,-1,-1,-1,-1,505957,402506,-1,494159,44221,-1,153376,-1,-1,870832,-1,-1,-1,-1,-1,25930,131149,301900,747127,-1,-1,-1,-1,-1,-1,-1,-1,-1,316636,84274,115147,-1,-1,-1,327741,-1,-1,798778,-1,387347,-1,745359,-1,-1,16222,-1,-1,815758,-1,-1,-1,66056,-1,-1,777274,103744,-1,-1,949300,271892,123302,6286,-1,-1,238092,-1,117732,-1,-1,741266,682904,348840,260221,82533,-1,-1,811796,263060,-1,318794,495197,-1,-1,-1,653681,-1,66822,-1,129869,-1,198660,-1,471350,-1,164174,-1,228486,963176,-1,-1,-1,-1,-1,723183,51190,-1,770031,-1,-1,970796,362146,-1,-1,887440,-1,294098,-1,-1,-1,698682,-1,589336,943048,406159,566534,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,756224,531446,176304,-1,-1,-1,421781,341067,122038,600276,895514,600206,572137,71243,-1,-1,88264,-1,465223,298096,776788,-1,51696,345389,-1,294789,905969,294211,-1,-1,-1,81013,511568,-1,9276,-1,275010,86329,-1,-1,-1,437006,-1,-1,-1,977223,28214,410472,-1,-1,-1,245068,-1,408428,517633,888176,-1,-1,469545,314947,224163,-1,100529,-1,-1,793754,842188,-1,578484,619462,753377,186962,-1,288900,-1,736291,680789,-1,608081,-1,130906,700696,144786,190563,-1,681024,-1,258362,-1,-1,609564,-1,657758,67027,976254,-1,-1,-1,891867,-1,160425,-1,842349,-1,-1,-1,-1,53780,246823,741483,-1,389660,-1,-1,411431,737813,-1,-1,983076,262258,-1,341300,-1,619030,167649,-1,267968,-1,-1,752408,-1,38674,887103,715313,-1,-1,-1,124556,-1,-1,700596,-1,861805,436170,-1,469159,457582,-1,826630,606360,169987,-1,937220,187117,-1,-1,188829,-1,-1,459872,-1,-1,-1,800960,-1,681635,18586,-1,655704,534845,-1,885794,263818,-1,-1,154266,-1,338031,225356,786406,655356,136275,442138,-1,-1,-1,998468,72026,90018,817744,-1,-1,491866,484625,478404,-1,-1,-1,41153,-1,630125,737214,-1,43937,-1,662327,684207,-1,644344,-1,559196,873943,390403,546253,-1,510260,-1,-1,-1,46238,579492,326537,398982,325064,391490,225993,-1,-1,-1,-1,755951,385116,-1,-1,938828,-1,309650,-1,-1,113318,-1,514980,-1,-1,828945,268183,504409,-1,-1,896232,453891,-1,109644,-1,-1,-1,-1,-1,113845,533060,-1,-1,-1,-1,-1,-1,-1,519200,-1,520604,-1,302098,-1,-1,874939,-1,-1,-1,-1,-1,829061,-1,1188,261945,479147,865859,-1,-1,-1,501200,-1,-1,-1,245416,-1,-1,936543,312112,-1,-1,-1,500654,-1,165625,663285,-1,-1,670714,-1,263980,-1,-1,-1,524135,-1,481250,405517,-1,568724,-1,7286,-1,-1,-1,-1,-1,-1,-1,-1,379404,632708,256029,-1,-1,-1,-1,-1,-1,-1,453748,843462,743795,451576,-1,573011,768845,154683,-1,-1,486293,-1,-1,-1,-1,875138,445805,-1,150664,-1,-1,-1,-1,206887,-1,336632,992816,56628,452169,572055,968203,-1,694029,-1,377792,992435,-1,832190,934954,-1,674343,-1,444351,369335,-1,-1,-1,-1,-1,-1,918179,921302,-1,-1,687389,242918,209324,-1,-1,-1,-1,-1,442174,-1,-1,-1,-1,-1,109188,143331,-1,-1,-1,667880,697534,-1,-1,548126,718169,-1,-1,327870,998693,-1,-1,-1,552140,975426,-1,602781,332583,658420,-1,862530,-1,-1,593879,-1,-1,700531,-1,552855,-1,-1,-1,429402,-1,427442,615568,-1,810369,-1,888015,-1,674102,501239,-1,421258,-1,-1,701011,135006,-1,-1,-1,-1,720438,-1,-1,-1,-1,-1,742291,-1,-1,-1,49506,-1,130993,-1,-1,-1,-1,-1,-1,-1,912671,120711,-1,60595,828888,-1,-1,-1,721185,-1,811308,-1,-1,357070,-1,630723,950673,-1,-1,-1,-1,-1,395194,-1,-1,-1,316794,984071,-1,304594,309527,-1,-1,853638,514775,-1,-1,-1,591338,721585,195889,-1,892875,-1,884200,509464,-1,648025,-1,-1,374086,-1,923769,-1,-1,-1,761191,-1,711392,-1,113736,-1,637963,846980,-1,-1,509975,-1,350753,-1,-1,-1,813263,-1,873171,-1,8135,-1,-1,-1,698277,-1,463655,900355,-1,351480,711844,-1,-1,-1,-1,327911,-1,-1,347817,977994,-1,323138,-1,-1,121414,744331,333513,-1,983104,-1,485320,381449,-1,-1,769728,449600,-1,423470,923739,-1,-1,344051,-1,-1,-1,-1,-1,-1,-1,26726,684191,-1,95301,16645,-1,963570,157142,910399,53581,169358,377731,-1,343093,-1,151041,653099,-1,-1,2172,671171,895361,132371,-1,309106,890522,306123,-1,-1,-1,226156,548006,248440,866992,-1,-1,921512,-1,229150,-1,-1,-1,247119,-1,844751,-1,-1,-1,-1,-1,913400,-1,244254,-1,734945,-1,849121,-1,-1,16002,544461,-1,-1,-1,-1,274108,-1,-1,644215,791801,455978,-1,786288,-1,-1,677971,-1,-1,-1,18553,-1,-1,808806,232399,690700,-1,-1,849284,841227,-1,208105,-1,754767,-1,966848,-1,411710,-1,107616,-1,-1,259873,850319,-1,782727,600184,-1,-1,-1,-1,-1,-1,-1,-1,255235,-1,-1,983909,734319,-1,691601,612923,-1,301709,568380,-1,-1,-1,-1,949485,593091,470029,-1,-1,407998,-1,399209,496039,-1,-1,442830,683326,-1,913713,-1,218220,-1,976448,235462,5939,493459,-1,-1,-1,-1,-1,75382,741106,982432,-1,674799,-1,84382,539500,-1,475525,207464,305044,-1,740590,-1,-1,-1,-1,-1,693341,848459,-1,522942,827559,102002,198344,-1,-1,-1,937229,-1,463291,-1,-1,-1,338863,-1,814228,35046,-1,232382,-1,-1,-1,-1,418946,816904,76944,400344,262079,315326,26938,717500,-1,-1,-1,763380,417818,-1,300334,-1,36524,-1,-1,985437,-1,707694,-1,-1,-1,-1,286415,358935,401384,857351,643449,109512,-1,-1,451038,830043,895888,709099,-1,463762,187602,-1,-1,212380,350425,293028,-1,568215,663215,268521,657332,-1,-1,-1,-1,-1,-1,198256,-1,-1,-1,631967,-1,957267,-1,635261,436563,-1,330135,563393,-1,-1,796703,19857,190044,707176,-1,-1,-1,-1,-1,-1,422769,355637,491453,109263,121460,-1,307351,303378,-1,188670,413210,252504,-1,986043,956308,506607,-1,-1,424099,574360,864100,-1,-1,-1,-1,-1,-1,930587,126464,-1,-1,96520,-1,600960,-1,498437,530052,79021,-1,972784,326724,-1,464640,648577,2210,-1,21409,896108,-1,-1,-1,-1,370903,145246,51118,400608,-1,155458,-1,531692,299373,-1,714705,473812,-1,-1,-1,-1,-1,489275,760907,-1,66409,-1,-1,-1,891019,34901,165817,-1,-1,897878,311084,-1,154227,-1,244193,484390,743093,-1,870481,-1,170279,684728,758673,532232,153684,-1,-1,145850,-1,976895,-1,-1,567175,756920,-1,-1,-1,834131,-1,-1,-1,198018,986342,-1,704311,-1,32843,11936,458436,668339,342860,-1,-1,585759,-1,-1,465092,-1,-1,-1,-1,14067,-1,506270,69207,-1,813697,-1,-1,-1,-1,238783,578760,545724,581000,663463,968963,153903,-1,-1,-1,18639,704351,-1,-1,-1,599878,-1,981282,-1,-1,-1,183818,729328,-1,-1,-1,852643,-1,692063,214312,-1,-1,166539,777024,-1,501656,753959,-1,-1,698020,-1,209503,4554,347214,-1,-1,197298,757250,490095,682613,539238,543462,-1,599760,35224,28129,-1,957305,889334,-1,242133,-1,-1,79052,-1,-1,264726,49220,339206,-1,567445,-1,185715,653743,468082,198437,-1,-1,162881,-1,412972,66929,-1,-1,-1,-1,-1,869003,652409,181717,326066,-1,-1,364993,347830,-1,209841,889728,-1,201609,725155,476841,-1,95556,-1,-1,591342,310107,981214,859980,622145,-1,547971,-1,-1,-1,466747,-1,-1,615710,254405,-1,-1,107394,721989,919693,-1,139879,807497,870492,212690,302843,-1,724147,58876,286406,177099,-1,781159,-1,671609,-1,-1,446031,-1,34549,-1,659361,-1,307795,102639,-1,603297,331735,-1,-1,530120,-1,961726,-1,153185,691009,-1,386091,-1,520711,-1,-1,870380,979237,-1,938240,739742,834932,727233,-1,-1,-1,-1,720023,852233,-1,-1,-1,-1,-1,876263,-1,238472,654256,96551,-1,218720,-1,374442,-1,522545,544860,401,-1,-1,879228,-1,-1,-1,-1,398556,-1,-1,-1,573781,978460,-1,-1,-1,746362,624513,48088,-1,-1,967665,-1,-1,-1,784730,947889,-1,850884,-1,-1,417562,31275,-1,-1,427888,-1,206220,-1,-1,-1,-1,719763,482554,-1,443560,62624,998668,-1,687216,707911,-1,936367,-1,480913,468294,246231,-1,-1,604841,638459,-1,-1,-1,-1,753343,554537,48475,-1,-1,-1,-1,-1,558902,900394,410448,813927,-1,101881,-1,-1,-1,-1,820083,-1,-1,-1,21265,456640,-1,-1,-1,486845,-1,-1,55540,999549,790462,-1,-1,-1,359303,-1,97274,947377,627673,-1,987839,890123,-1,-1,313160,419577,-1,38128,776521,-1,-1,-1,407490,-1,-1,74336,44078,999974,-1,-1,419539,-1,559296,126373,-1,656759,257705,333920,-1,-1,-1,990700,-1,361000,-1,-1,302740,481295,419498,-1,-1,-1,282174,720271,-1,255451,-1,-1,50508,767408,-1,956139,-1,-1,-1,190995,339379,221865,996987,61722,-1,-1,-1,-1,-1,-1,898697,-1,532233,-1,825792,917703,-1,-1,-1,638841,-1,611926,-1,1837,-1,786174,718023,652698,934936,-1,-1,-1,936048,-1,519564,810634,-1,-1,-1,478986,945306,-1,-1,601636,-1,-1,931062,-1,513716,-1,-1,493672,652800,-1,-1,908400,835659,676145,-1,186867,-1,216631,-1,749387,559694,247059,147715,380021,948029,802034,-1,285499,-1,-1,38443,-1,44090,809898,950328,-1,-1,-1,34642,-1,508230,155167,31690,-1,753261,602378,-1,-1,609153,-1,687811,-1,888611,-1,-1,250757,792691,594652,959916,332074,378204,285808,790986,-1,346360,-1,414706,430493,223351,-1,675225,906705,694247,-1,-1,39183,20722,-1,851392,-1,-1,149820,783712,-1,-1,-1,-1,-1,514001,231240,665168,326305,980318,-1,817430,-1,249203,32210,798754,584073,-1,329961,735094,-1,429454,642981,176881,-1,301099,679378,-1,-1,-1,-1,113793,762077,-1,-1,-1,-1,83009,736494,155125,504204,845538,-1,-1,-1,885025,455013,259090,-1,166718,-1,379873,892133,949583,353339,-1,194271,182146,678178,-1,-1,-1,235552,-1,-1,-1,-1,-1,67416,-1,864798,396205,334787,399444,-1,-1,-1,87480,-1,-1,158134,373581,-1,725988,961334,42136,900730,-1,347893,207353,-1,-1,-1,-1,-1,-1,429125,854933,370043,-1,-1,550088,-1,-1,295746,745150,892824,-1,27948,87606,-1,-1,-1,-1,-1,92485,993532,531443,-1,-1,-1,-1,-1,-1,-1,657067,-1,345102,494836,-1,-1,-1,-1,-1,-1,-1,839016,467082,297519,-1,591539,-1,-1,-1,-1,-1,945762,553435,-1,-1,-1,647475,-1,624627,-1,-1,878600,415113,-1,-1,151376,69487,-1,738382,-1,-1,510780,-1,467132,314964,684926,-1,-1,-1,-1,-1,-1,-1,142385,-1,-1,326692,-1,374247,-1,569928,-1,687111,-1,-1,66351,-1,186148,-1,-1,702236,-1,729715,-1,399520,-1,-1,-1,831939,-1,-1,979760,426198,920926,-1,423385,-1,-1,269461,954508,678288,-1,373715,-1,-1,-1,989483,420680,768899,-1,604930,-1,20686,707616,879234,62926,759357,717129,-1,-1,-1,-1,-1,158404,353826,434475,183388,-1,3525,134081,-1,-1,-1,383273,749433,-1,581715,-1,123174,-1,654897,977111,-1,-1,708745,-1,937575,22270,167419,73345,-1,199016,519118,-1,773401,840943,346760,663715,-1,-1,626505,-1,-1,-1,426099,-1,-1,911138,-1,44030,944074,-1,775979,-1,688210,-1,207046,83703,840093,-1,517980,-1,-1,-1,869168,-1,476347,-1,-1,-1,-1,-1,681789,-1,-1,-1,664204,881318,-1,194209,15458,548302,-1,111109,438617,909272,-1,728004,-1,196851,-1,-1,-1,649198,366807,335085,-1,416120,-1,838642,-1,262328,-1,-1,926322,-1,879962,-1,-1,148955,69413,977242,79855,-1,-1,302425,557163,283221,-1,884106,-1,534145,-1,-1,-1,-1,-1,-1,-1,-1,886785,-1,588987,-1,-1,-1,-1,-1,803037,-1,92777,925183,443740,-1,675637,-1,-1,-1,-1,45215,-1,534666,-1,625055,946183,546761,730933,3056,389923,-1,-1,-1,-1,-1,-1,373537,468220,384571,810641,489240,-1,838713,-1,-1,-1,3624,646504,-1,67142,-1,-1,-1,787120,761026,-1,208139,104596,-1,-1,-1,940251,-1,892218,-1,-1,45972,-1,-1,-1,119573,442709,-1,68297,477954,867994,541420,-1,126952,-1,126366,839345,-1,-1,943770,615976,-1,-1,-1,262290,-1,967293,-1,-1,-1,-1,66233,368771,-1,320738,-1,-1,-1,595681,-1,-1,-1,-1,-1,178594,893930,695568,-1,607764,921783,-1,-1,-1,-1,-1,495370,-1,839222,926740,932109,486144,-1,-1,-1,-1,-1,-1,265138,-1,-1,-1,-1,751518,-1,-1,-1,-1,-1,554072,337699,296199,90866,-1,151443,240363,628786,902195,291419,-1,-1,916448,-1,876498,309365,-1,758410,-1,-1,749005,927235,-1,205704,489628,-1,270042,166228,792104,846034,-1,945242,367936,-1,-1,91969,560398,228776,816090,965819,-1,-1,-1,706940,711004,117391,66192,-1,835770,328550,130647,306726,245132,436889,-1,181882,-1,158227,119525,27819,135523,175222,-1,-1,642752,-1,2355,-1,-1,-1,-1,-1,-1,-1,-1,820171,-1,-1,690042,-1,-1,-1,-1,409779,28160,-1,-1,-1,746943,534460,805448,781968,-1,534634,755939,480509,-1,-1,222151,851714,-1,-1,-1,962898,192971,446303,371905,605349,582275,767397,902500,-1,618960,-1,74038,629366,343398,4960,-1,82045,974161,-1,538452,368679,436327,253138,534448,648886,662897,-1,-1,705524,-1,332161,331294,36960,-1,357569,-1,-1,-1,-1,-1,777111,-1,-1,897233,-1,-1,-1,-1,-1,508193,22321,453063,253928,315179,365061,731438,-1,205710,991741,636727,-1,-1,-1,-1,-1,360736,-1,-1,188765,672858,23230,381625,961924,-1,-1,460462,-1,980642,-1,830733,630460,-1,251478,960673,195201,-1,137975,484538,-1,-1,-1,897290,-1,794177,-1,-1,926018,-1,-1,280624,35573,-1,575138,-1,-1,-1,-1,-1,-1,306918,699777,791777,817628,226256,-1,195936,542638,-1,-1,-1,50999,-1,408280,-1,-1,-1,-1,-1,560352,865415,-1,-1,-1,601693,146540,-1,695633,831737,-1,465257,-1,-1,-1,-1,30737,638999,-1,-1,-1,838231,904091,-1,-1,-1,-1,534981,-1,-1,-1,944480,-1,916282,156420,375443,-1,108986,-1,698315,-1,392787,832798,-1,-1,-1,-1,521309,273618,770309,-1,-1,-1,-1,22322,-1,-1,332375,-1,-1,-1,-1,832588,564308,984199,-1,520727,839056,291987,-1,968991,964478,-1,-1,477141,-1,440336,787301,-1,-1,924969,-1,-1,-1,97828,-1,-1,261932,-1,-1,74899,-1,-1,447286,-1,892433,450279,197268,458137,955129,-1,-1,-1,67077,218484,-1,877779,46026,-1,-1,-1,887810,-1,115187,-1,-1,615079,-1,180623,485056,-1,557882,-1,-1,-1,-1,805358,-1,65585,834609,622890,-1,634009,593959,378701,202293,202393,-1,-1,-1,-1,-1,-1,74321,136638,-1,242347,746863,-1,804566,-1,-1,56332,201601,890687,745418,794802,479383,-1,-1,-1,735158,-1,359162,722200,-1,118654,-1,-1,-1,364897,92510,-1,521175,344270,973154,-1,954788,-1,681865,232043,-1,283324,69165,529569,-1,-1,829342,-1,324270,-1,-1,-1,-1,-1,-1,867684,-1,429390,212284,-1,-1,77487,79887,698323,-1,-1,-1,-1,-1,-1,-1,-1,-1,813628,954275,-1,-1,993573,-1,-1,-1,-1,-1,395494,422435,635169,50334,-1,-1,-1,-1,452791,928912,-1,111846,-1,-1,450460,111896,-1,21232,-1,-1,-1,-1,510049,160666,-1,979633,122853,-1,759200,490133,503881,-1,-1,-1,113316,-1,-1,-1,-1,743853,-1,523134,-1,-1,615652,629273,875685,-1,116328,-1,483443,489705,-1,255943,-1,466817,-1,-1,-1,-1,110666,-1,630100,-1,26006,-1,-1,-1,162584,643459,-1,-1,632227,-1,768888,-1,-1,510736,-1,-1,-1,831867,132393,649571,-1,-1,-1,-1,-1,892857,-1,266101,74487,757848,-1,-1,-1,127020,870182,-1,-1,-1,573490,415456,-1,-1,-1,497857,-1,-1,614142,220679,-1,-1,-1,538634,-1,-1,335224,950314,-1,-1,378435,380139,-1,-1,-1,-1,-1,-1,-1,246619,708572,-1,-1,-1,826746,485358,-1,-1,103892,-1,-1,-1,-1,-1,-1,331046,-1,723563,-1,631877,-1,-1,793057,-1,88431,-1,-1,496425,312151,224400,704640,-1,-1,28027,509525,-1,160785,29495,424122,26634,248367,166745,698771,-1,999769,-1,41717,-1,-1,510043,-1,658836,73712,-1,909417,233207,-1,-1,685811,-1,703027,-1,400445,-1,-1,893875,-1,285703,108750,-1,491238,-1,420193,827515,-1,-1,-1,369729,962498,298911,-1,507813,-1,-1,-1,16818,400422,533379,20472,726777,427764,568796,-1,-1,76733,-1,-1,-1,-1,-1,170740,185036,637056,16689,-1,272510,-1,-1,92559,655045,-1,-1,668242,115452,380016,317046,-1,-1,755628,291901,-1,15954,-1,436104,-1,-1,-1,-1,-1,-1,-1,-1,818811,987547,183167,50161,390474,35981,516596,247551,669386,-1,-1,237879,136882,537154,743564,264293,-1,205251,-1,255866,769658,535686,157658,-1,-1,425579,-1,-1,599365,-1,779047,259278,448276,-1,-1,701177,725593,-1,654964,26172,746160,-1,-1,-1,873791,1728,720021,316419,-1,-1,919791,-1,-1,-1,-1,607243,-1,807805,397051,933692,-1,-1,-1,609706,355612,-1,-1,681409,8683,462163,-1,-1,19272,-1,302555,-1,-1,849548,336507,-1,669739,-1,-1,-1,-1,613981,39523,-1,-1,-1,326519,143269,-1,-1,172214,640846,94488,158329,722334,792679,235164,-1,-1,-1,1211,32670,-1,145074,346879,658862,568109,-1,-1,533814,638541,-1,-1,699638,-1,-1,602268,991552,-1,596894,-1,391433,774362,692472,-1,-1,631203,-1,742035,-1,104049,369999,9087,918118,-1,-1,-1,-1,986289,747605,-1,-1,37629,-1,356913,-1,355804,-1,58192,554199,-1,994950,730446,296787,-1,987973,164950,240116,-1,982593,540253,-1,-1,112205,-1,-1,-1,-1,978326,-1,392015,-1,561951,-1,521109,234753,-1,54871,30609,964982,463481,-1,790566,532283,-1,498316,263441,-1,-1,-1,626553,2313,-1,106669,-1,-1,259227,87131,-1,-1,-1,449829,486068,-1,-1,-1,-1,29932,-1,-1,-1,-1,367732,-1,648718,184159,930837,-1,638643,-1,751361,-1,-1,627317,487322,925422,491430,152740,-1,825741,-1,381955,300253,665803,-1,71798,-1,616796,57381,-1,-1,-1,619377,-1,-1,-1,-1,923471,-1,315487,-1,9363,-1,363393,-1,-1,-1,-1,-1,524613,565218,820612,312738,-1,-1,-1,-1,-1,366285,92108,-1,-1,949548,-1,469242,51442,-1,960703,-1,636744,-1,620540,31557,787243,-1,-1,745386,366616,-1,156438,-1,-1,-1,-1,644721,-1,-1,609464,663083,-1,461384,409282,-1,-1,-1,579252,213613,-1,737853,-1,-1,254631,-1,484145,-1,-1,103786,367505,-1,-1,-1,-1,514608,-1,-1,-1,887434,-1,-1,83405,202223,-1,-1,-1,-1,857342,771193,321393,121974,460810,-1,-1,565789,-1,-1,-1,-1,680683,-1,-1,364323,-1,-1,-1,51077,-1,-1,239436,328746,-1,212350,-1,-1,773811,-1,-1,874394,-1,972162,761305,-1,554007,-1,-1,-1,-1,-1,147684,-1,260404,-1,351868,-1,855834,783550,-1,-1,-1,665133,720648,719213,305186,45759,141615,-1,515283,-1,164518,287416,-1,255226,-1,501127,-1,-1,-1,-1,217829,760445,-1,943415,-1,-1,-1,-1,720959,-1,-1,981102,-1,722208,727240,310650,69479,-1,-1,-1,157070,-1,492886,834070,-1,510378,59456,-1,945996,670953,-1,354921,821338,819356,-1,-1,378393,-1,-1,510500,201583,-1,-1,-1,549337,-1,-1,22789,-1,-1,-1,-1,546291,-1,-1,932419,-1,519210,-1,-1,-1,-1,-1,1748,-1,-1,682984,653591,24245,69560,247031,-1,40986,911216,268919,-1,-1,-1,-1,481139,-1,-1,-1,98899,-1,749705,330840,-1,-1,675274,-1,796396,856550,304695,-1,900248,16343,-1,-1,-1,67335,310514,-1,835484,-1,-1,303888,970133,601911,-1,95624,272281,429831,-1,296348,-1,139234,-1,-1,-1,-1,-1,444911,-1,-1,-1,-1,-1,360230,287185,78435,137381,-1,-1,-1,-1,422724,-1,464996,156531,-1,963666,629894,-1,-1,805056,-1,827272,769974,415591,63273,-1,-1,178401,-1,199391,-1,739917,-1,570765,-1,11986,514189,369615,671616,-1,182961,517454,957402,-1,-1,379576,93649,-1,-1,-1,853351,699831,492357,695926,537441,-1,158721,-1,402542,-1,-1,124962,-1,-1,-1,985259,-1,-1,-1,-1,-1,527375,-1,157792,591119,-1,306045,-1,10273,118135,444917,703529,-1,-1,-1,440357,808332,313632,127416,758496,-1,-1,572395,129915,-1,-1,-1,158793,118228,-1,-1,-1,-1,701439,-1,101893,-1,993965,-1,17518,-1,801633,-1,-1,-1,-1,-1,520296,-1,804015,-1,-1,-1,-1,-1,855091,128080,453068,463361,-1,28905,-1,-1,-1,238988,510680,-1,-1,-1,-1,571420,-1,137750,599176,-1,-1,337560,423701,365001,569087,943417,-1,-1,985168,478655,333355,-1,-1,-1,926474,-1,-1,-1,936424,-1,761919,607256,-1,-1,-1,251857,-1,-1,927238,-1,695838,666751,-1,637122,-1,1503,-1,-1,-1,-1,378256,-1,262045,907061,-1,-1,-1,-1,-1,146159,867825,-1,-1,-1,18549,671982,-1,532721,-1,353005,740792,-1,-1,-1,962422,11174,-1,-1,-1,251280,677153,315592,-1,-1,451379,510650,879608,445735,335066,-1,891939,-1,484062,-1,-1,598692,-1,530166,190787,-1,-1,233636,-1,-1,720548,821525,466322,168505,716182,-1,863497,-1,-1,725002,325748,168209,-1,-1,-1,-1,-1,5826,933630,842286,-1,37046,-1,-1,-1,-1,766456,922030,-1,622035,-1,476443,578878,152694,998704,-1,-1,40067,-1,-1,-1,149290,651325,-1,172803,323211,908365,79627,559550,-1,805498,79342,332980,649265,313244,-1,-1,474793,205193,-1,-1,507418,-1,529885,-1,-1,-1,-1,757133,-1,-1,-1,-1,-1,-1,718633,-1,-1,800137,-1,838991,-1,-1,224186,-1,8505,485322,871487,-1,276684,948490,469062,656753,-1,-1,426527,525022,5842,-1,-1,438498,-1,-1,-1,-1,905235,-1,862887,-1,-1,40835,812528,886350,-1,-1,-1,-1,-1,640172,-1,-1,-1,597248,919985,697241,-1,973097,566564,-1,-1,55009,-1,-1,613908,-1,162125,720920,553729,116420,946877,134550,-1,-1,473888,-1,885612,-1,-1,-1,-1,935768,861962,596978,754423,-1,202901,-1,-1,-1,-1,144978,489866,-1,720507,165846,723617,442505,667753,175425,774145,-1,441620,830600,34944,-1,769028,-1,359374,-1,984532,567096,-1,621589,127746,200223,-1,100935,-1,158083,55008,-1,118813,-1,-1,-1,289978,465139,23129,-1,-1,431952,-1,698197,-1,476879,-1,327208,314306,-1,33804,952136,295995,590821,714531,896103,-1,759656,-1,223721,73477,673074,-1,-1,685144,-1,-1,-1,-1,319376,-1,-1,-1,-1,729507,837720,-1,116659,920097,82625,84574,594907,-1,972659,385602,402739,220542,915872,709931,621743,807982,-1,-1,407624,515365,727846,555439,263534,456883,37194,211592,165108,637280,-1,-1,510730,-1,654341,127013,-1,862209,-1,-1,-1,668084,945167,-1,-1,-1,379992,979856,-1,485570,-1,-1,136350,-1,-1,454009,-1,384494,764789,-1,-1,-1,742458,723251,429339,84072,-1,-1,-1,-1,765856,880354,434912,-1,-1,-1,628423,-1,-1,-1,-1,-1,727329,111865,-1,-1,862288,784338,-1,983960,966920,77350,-1,33309,268242,514214,399931,-1,-1,326655,-1,656243,433739,17635,-1,-1,-1,144957,720250,-1,706207,930975,787981,723906,-1,901970,986471,362112,-1,-1,-1,-1,300094,238135,-1,708570,958517,-1,-1,405593,-1,-1,992865,-1,562319,-1,-1,-1,144196,-1,-1,722545,227711,728701,381177,185286,752465,-1,-1,121789,-1,410586,822710,-1,-1,105376,243646,509267,491711,558987,-1,594847,-1,-1,-1,354462,542400,228340,-1,-1,-1,-1,166136,340819,-1,536240,-1,-1,845674,861948,494826,331580,-1,-1,-1,-1,-1,-1,-1,546483,-1,918716,908391,658464,-1,121852,-1,692622,-1,783682,-1,-1,-1,-1,-1,298921,-1,-1,-1,706008,527883,253769,-1,-1,45953,672554,-1,177315,-1,987110,-1,2803,-1,448271,885159,-1,988252,-1,486065,117852,-1,376384,-1,-1,154504,-1,-1,-1,-1,394124,-1,634227,595126,538895,-1,-1,835712,-1,491577,199885,320402,-1,475450,419964,-1,-1,-1,-1,258043,924558,935116,-1,878353,762336,990309,-1,836592,985696,-1,-1,22455,-1,922325,-1,445767,497352,-1,681650,-1,701854,961701,316487,-1,342133,-1,-1,880151,116827,-1,638201,-1,-1,94945,-1,869126,821389,-1,965647,-1,-1,789282,-1,-1,-1,-1,-1,295421,790746,-1,-1,-1,-1,520291,258674,-1,297623,783598,-1,944526,602602,986110,995146,-1,53264,834675,-1,892947,-1,81352,-1,-1,-1,-1,125001,-1,-1,-1,-1,798089,-1,-1,-1,304186,-1,423402,-1,846940,-1,232294,-1,-1,428622,-1,129640,-1,-1,-1,-1,-1,-1,122074,-1,-1,435794,-1,731725,910955,166462,209623,348250,498864,-1,-1,204076,-1,232610,117387,188653,107769,979681,622148,655679,-1,923638,876480,853872,-1,-1,-1,172860,-1,233342,442116,297354,668565,-1,113419,-1,707104,765608,512732,12893,-1,94681,770648,-1,763604,-1,440481,-1,460934,888758,-1,-1,533272,-1,-1,-1,-1,196665,48352,235693,198626,817082,567434,562269,-1,-1,-1,-1,50401,-1,-1,-1,503426,-1,-1,-1,-1,559561,-1,982667,514126,948550,384456,-1,-1,191872,-1,-1,181746,-1,-1,46924,-1,211611,455751,370846,-1,534008,714023,-1,-1,572056,-1,-1,-1,-1,199377,-1,342474,-1,55914,-1,-1,48461,583608,-1,-1,-1,384604,628568,163001,-1,164347,-1,827334,-1,54338,-1,638820,-1,337486,294215,-1,383844,112674,-1,998047,-1,-1,170357,243820,789463,-1,-1,-1,802057,540414,-1,722606,186552,-1,898495,-1,-1,822694,506306,313941,-1,962173,954735,751880,135487,-1,307483,711662,831782,166336,-1,-1,71799,209880,-1,629429,-1,-1,658280,-1,158782,-1,406141,812939,-1,53257,-1,-1,419178,-1,364157,998727,-1,-1,-1,214350,948189,-1,980397,284339,-1,-1,141797,-1,714205,-1,-1,599902,-1,-1,-1,-1,-1,-1,212641,837140,293252,325871,365823,-1,158594,656875,510041,802525,-1,-1,-1,-1,95227,311275,873054,830389,817781,-1,415452,-1,-1,935357,-1,20411,-1,752344,-1,-1,-1,131465,315369,-1,122699,243736,274233,-1,324163,947211,-1,-1,166509,314278,-1,161501,-1,-1,781904,440505,304351,578617,523723,-1,879236,-1,819431,393000,-1,498628,-1,-1,-1,959234,-1,169514,-1,546046,-1,-1,-1,313274,-1,-1,-1,82926,443527,303665,127942,431391,-1,50673,-1,-1,-1,6726,-1,202220,-1,-1,723619,-1,-1,-1,-1,558536,949157,687183,646308,786055,607741,178440,-1,-1,-1,-1,-1,-1,951638,4085,-1,-1,-1,-1,66077,816908,752080,-1,-1,-1,-1,-1,251708,794526,78063,150327,250843,19321,125077,-1,821967,-1,-1,-1,-1,484841,-1,-1,-1,528366,903371,267352,-1,89119,207623,-1,-1,335599,181725,40774,-1,-1,-1,-1,734486,-1,758963,-1,557279,-1,-1,-1,788854,-1,168991,228157,541236,795954,-1,-1,-1,-1,-1,-1,-1,888608,-1,-1,-1,-1,125809,-1,-1,-1,875966,-1,-1,604503,508566,937749,991371,249679,-1,271992,12906,-1,835111,415110,-1,407854,383286,93944,-1,-1,687099,939430,-1,505403,-1,-1,-1,453399,992548,-1,-1,936555,-1,-1,190900,102564,543414,979607,315212,-1,-1,199477,-1,-1,-1,970994,863714,999163,-1,164499,481415,-1,493972,147656,-1,820510,265437,-1,-1,-1,537448,-1,-1,428584,548697,-1,-1,-1,296847,511155,20196,-1,651788,607401,454958,455404,-1,418919,-1,631669,811897,-1,-1,117635,-1,-1,97090,300383,-1,-1,-1,-1,-1,-1,-1,-1,866569,-1,994908,991941,-1,435151,625868,-1,-1,878942,401105,370890,-1,202145,-1,-1,351813,794212,162093,211848,-1,818237,-1,-1,-1,-1,-1,-1,861226,481711,-1,707093,401096,988346,765573,828193,-1,595484,666674,-1,-1,644598,893545,-1,21341,434292,572016,-1,553677,-1,54486,969617,175018,-1,561656,-1,-1,961361,-1,-1,-1,-1,-1,-1,-1,-1,-1,742487,-1,21237,-1,-1,-1,772454,245058,-1,924223,494393,139172,983962,-1,-1,272822,-1,435982,6160,-1,-1,-1,-1,-1,133627,830265,-1,646924,202001,-1,-1,457301,447150,714423,25493,-1,655553,-1,441124,-1,690165,800390,90971,-1,-1,901060,-1,184509,-1,251542,-1,41327,472651,-1,951968,-1,-1,173,372669,-1,645211,769175,-1,396158,184161,-1,-1,667927,-1,-1,11360,-1,-1,-1,-1,-1,-1,856880,-1,-1,441639,-1,-1,134674,936268,260154,-1,-1,-1,46366,-1,-1,-1,-1,-1,409040,796515,-1,925769,764759,-1,795817,870679,218982,-1,-1,-1,772903,-1,561066,330742,-1,-1,-1,295237,-1,-1,-1,-1,-1,-1,904692,-1,19538,20998,-1,194357,501561,-1,394496,147313,-1,298780,-1,312099,599403,-1,-1,958330,899894,-1,880837,-1,975155,-1,-1,-1,586962,599369,-1,61082,-1,-1,-1,886861,-1,-1,-1,-1,-1,239486,-1,419326,-1,177450,968904,-1,352009,692808,880819,918560,857910,633350,-1,-1,-1,930948,444587,-1,701329,1372,-1,746245,-1,661972,-1,-1,241332,799702,283902,41889,-1,-1,-1,-1,-1,403220,595949,413078,-1,-1,563335,-1,699041,442980,-1,-1,-1,821271,-1,825148,740527,554502,-1,-1,-1,-1,747721,162066,-1,784030,-1,-1,-1,-1,-1,-1,377555,302113,868276,426302,610713,-1,238334,-1,-1,375734,-1,-1,-1,-1,-1,421407,-1,357585,684271,-1,-1,333719,819465,-1,-1,-1,-1,-1,762789,789003,388249,-1,590688,-1,-1,-1,-1,-1,891261,285130,-1,41576,111938,-1,444737,927810,913411,150121,409302,56970,-1,-1,-1,-1,41968,889706,755314,367321,418753,941389,978669,-1,426057,209728,-1,135236,-1,503556,-1,972454,-1,-1,-1,563728,-1,224846,-1,-1,90690,908939,-1,-1,997888,461797,-1,859515,-1,995956,-1,695255,-1,-1,-1,-1,423857,874704,332906,455552,-1,-1,-1,-1,416606,-1,-1,619164,-1,755477,-1,-1,-1,-1,759965,-1,105402,721750,924352,77824,-1,301152,645631,121435,-1,98841,51847,-1,-1,356185,-1,-1,451421,-1,-1,685262,-1,861639,-1,-1,180184,782621,238697,621649,333676,500739,51802,839117,-1,799322,738294,63501,-1,-1,945893,964613,910516,-1,-1,-1,-1,-1,-1,957605,-1,73984,590584,376087,-1,-1,-1,-1,805427,749025,974324,584320,-1,-1,-1,202860,-1,-1,-1,-1,608002,-1,708408,-1,876681,56305,345313,1979,-1,298273,751145,379314,182062,560776,965743,-1,-1,878534,570888,-1,-1,-1,-1,975522,-1,-1,-1,674904,439815,972337,712287,-1,-1,248051,-1,-1,-1,-1,988424,-1,866548,-1,-1,704629,-1,154562,-1,-1,624228,-1,-1,910174,363536,-1,-1,-1,-1,958453,405087,760609,-1,-1,844982,608814,222251,-1,-1,-1,-1,-1,187958,366483,848222,805245,-1,367629,786730,473655,740270,-1,-1,-1,124055,853565,596311,941867,809412,-1,600937,516980,479700,890893,-1,178012,966320,-1,-1,-1,-1,-1,-1,-1,-1,821298,128356,-1,-1,910243,492140,387187,175085,-1,-1,-1,141510,423256,278100,-1,-1,-1,-1,540714,-1,967687,112732,645027,-1,124388,-1,808519,442819,502795,71769,-1,148680,313512,360973,991417,903797,976719,-1,-1,-1,405524,223291,948308,775464,-1,239825,328919,212859,589988,-1,-1,794849,38114,-1,-1,-1,-1,340504,-1,-1,-1,-1,902535,562708,722964,429633,-1,356205,-1,704314,-1,884331,36149,-1,934885,826586,406238,-1,23982,-1,656568,-1,763099,-1,406762,718967,-1,751301,-1,853243,-1,473463,345489,-1,73328,57749,573849,543761,-1,-1,-1,-1,457983,-1,-1,290330,-1,-1,516076,232217,-1,305921,-1,359407,-1,-1,-1,892498,441134,-1,403866,-1,-1,967998,12421,-1,-1,-1,214784,-1,-1,-1,229182,318991,-1,153500,-1,774844,-1,433301,321787,-1,-1,-1,725333,-1,-1,-1,-1,603417,382472,18434,-1,-1,769750,-1,692516,-1,221605,704045,461587,354373,23847,-1,92346,430515,898510,290073,872226,777139,558965,249048,-1,-1,-1,565938,-1,401256,916972,82368,574520,-1,-1,384128,-1,838730,663479,934814,253181,6834,890473,591858,13796,-1,994889,440705,-1,-1,960623,-1,-1,-1,818787,-1,399910,544323,-1,-1,-1,85018,-1,-1,289535,362982,900985,-1,781674,317781,297603,832504,463745,165314,-1,-1,-1,-1,-1,-1,-1,854234,-1,768007,784007,-1,-1,900,-1,-1,916065,-1,945327,-1,849212,-1,826729,604616,-1,-1,-1,894103,-1,-1,-1,362832,405048,-1,339770,948316,749038,443209,-1,-1,978131,331017,-1,608527,778485,-1,-1,-1,-1,942808,-1,931932,-1,905546,-1,514225,431600,-1,216195,-1,-1,869037,481377,-1,-1,664296,-1,760668,696692,-1,763937,948938,679094,-1,-1,783005,-1,-1,75784,-1,-1,-1,345859,607996,571009,-1,431825,21353,788688,-1,395063,28823,-1,709718,734881,149384,626837,537561,-1,-1,-1,-1,250069,121524,-1,-1,-1,492154,201276,683391,81349,-1,-1,277967,-1,980408,-1,-1,888833,470469,-1,773893,835347,994956,-1,597518,41247,-1,292269,197719,-1,293007,921085,-1,-1,414930,996776,-1,376120,863765,-1,-1,72096,-1,173120,-1,-1,-1,750624,298074,-1,-1,264929,549455,-1,-1,203493,21864,-1,423489,-1,794569,-1,59717,-1,-1,428090,688651,-1,147922,-1,-1,-1,439057,-1,-1,561031,-1,-1,378805,162309,155393,-1,748039,-1,436747,530403,948491,-1,548356,445598,-1,-1,-1,-1,45182,203178,478681,321306,26569,-1,346827,466346,-1,608786,115071,920775,535617,418714,346443,-1,975573,-1,-1,618417,112780,-1,-1,701510,266326,60612,-1,255406,-1,-1,824989,-1,563923,-1,899934,-1,283830,864098,-1,-1,-1,476686,-1,691836,-1,967338,26022,31988,-1,-1,-1,769668,701830,-1,797538,671118,100515,-1,659166,-1,115417,192301,112222,830557,911927,22478,-1,138923,560987,582384,-1,-1,-1,-1,592990,-1,-1,-1,-1,-1,-1,-1,-1,347082,-1,-1,-1,-1,737477,763509,-1,-1,373850,755464,277949,-1,-1,-1,-1,-1,24649,18700,107244,655384,777046,-1,81761,-1,-1,-1,-1,95406,-1,-1,991587,-1,-1,-1,-1,125671,-1,357236,595659,-1,-1,-1,-1,-1,343677,-1,925356,261666,148477,982535,-1,-1,637699,-1,915299,-1,-1,98185,191359,-1,744758,-1,-1,960397,332343,-1,339106,-1,-1,-1,427438,-1,295948,-1,616271,-1,764848,-1,-1,867540,20598,-1,-1,319402,-1,-1,933471,-1,984929,-1,290324,765428,64850,649973,-1,-1,-1,-1,-1,623753,376233,948712,-1,-1,853286,-1,23382,-1,794063,187938,-1,533990,156020,-1,549701,-1,-1,-1,-1,-1,480329,278704,628648,-1,-1,-1,-1,242002,-1,403089,-1,-1,-1,407798,528404,-1,285847,-1,-1,9078,23924,-1,-1,-1,285561,54389,-1,12792,614718,690861,921309,174458,140159,257141,-1,194537,-1,-1,74100,-1,-1,116187,234470,512627,-1,999556,287377,-1,-1,499743,-1,-1,-1,73031,735857,682176,-1,917608,863780,-1,-1,-1,-1,956947,-1,-1,574071,-1,-1,-1,3953,-1,386720,68758,435276,632052,-1,-1,-1,960851,557292,-1,22417,492422,757725,-1,-1,-1,-1,-1,253461,-1,889838,-1,764345,512438,855651,-1,-1,137995,430316,342240,-1,901797,570332,922503,-1,-1,-1,282041,152184,547968,-1,268256,790759,-1,-1,389304,-1,-1,825691,-1,-1,-1,509859,252922,144310,-1,157174,378907,757794,382294,256175,381810,-1,-1,-1,775487,-1,414944,-1,-1,101602,-1,-1,125388,-1,512927,-1,-1,-1,542270,-1,476661,-1,140743,-1,-1,-1,557908,-1,344322,133884,226956,-1,-1,248119,-1,-1,60656,-1,-1,564675,165251,-1,-1,61705,-1,188656,-1,465968,512439,-1,-1,369718,610658,-1,708280,808385,885110,-1,685486,-1,133620,103188,794923,-1,-1,348251,-1,-1,706947,-1,688368,-1,694399,569601,-1,263881,732583,-1,342880,-1,795393,-1,-1,871150,-1,-1,263240,281592,-1,13131,-1,-1,-1,-1,327610,-1,-1,328678,-1,868155,152742,291294,887075,899038,-1,561259,195630,-1,778460,-1,276969,407406,539339,797629,785717,-1,-1,-1,-1,-1,972320,-1,803524,343154,-1,-1,-1,-1,-1,548046,719826,563757,-1,-1,-1,-1,-1,-1,758429,571070,709482,850705,487193,-1,622261,916881,984999,928021,-1,197562,-1,788019,80610,-1,927165,88340,-1,648329,322396,197508,-1,-1,-1,-1,-1,953886,776586,-1,-1,552877,126138,-1,-1,-1,-1,523757,52143,201695,-1,-1,-1,-1,737847,-1,-1,243634,-1,-1,-1,300873,-1,287353,472484,271947,-1,-1,-1,750181,-1,-1,-1,-1,666555,392366,272051,-1,-1,-1,-1,-1,708669,-1,-1,-1,222227,-1,475660,819615,404004,-1,-1,-1,-1,-1,-1,-1,900875,167410,974792,761089,725669,854845,-1,682991,5553,242675,-1,143152,-1,131696,-1,-1,187129,89669,-1,76897,379336,-1,-1,404070,-1,747369,-1,-1,543068,-1,-1,-1,309847,-1,560029,-1,-1,813436,-1,-1,754948,199635,-1,340404,483536,-1,-1,-1,-1,549405,411893,949998,118044,-1,-1,-1,-1,-1,535386,-1,652517,-1,415183,609688,-1,702048,703447,-1,-1,-1,-1,-1,925333,597940,-1,-1,-1,174201,596983,19787,579535,355550,792781,-1,716829,-1,233682,616822,1167,391034,-1,180682,760966,676278,149691,491301,996075,-1,-1,-1,397468,787055,-1,258219,679476,-1,330835,591034,319633,641659,701865,-1,722471,-1,-1,169938,-1,959097,-1,-1,715337,-1,297924,-1,-1,-1,-1,-1,735059,-1,-1,483973,910206,532722,-1,-1,216097,-1,160335,51233,217247,-1,-1,970729,-1,328586,244526,-1,911099,72343,-1,539925,-1,-1,675497,654030,526343,-1,2092,-1,807400,-1,-1,689624,-1,-1,463304,-1,96576,-1,-1,-1,696126,621818,-1,361812,942713,-1,-1,-1,-1,-1,-1,-1,172443,-1,-1,-1,395337,-1,856324,548923,-1,60021,222294,181638,701147,4906,-1,792322,597740,-1,-1,-1,-1,664216,528374,192910,560657,442767,-1,-1,-1,-1,-1,-1,977620,624590,-1,-1,-1,-1,-1,69658,919871,-1,-1,-1,745424,-1,-1,185554,723541,692775,-1,137183,-1,526134,-1,156982,731876,-1,-1,-1,-1,368689,-1,715613,-1,3007,-1,258369,652472,-1,781310,-1,359234,612204,-1,-1,567063,440691,321014,-1,598297,86477,-1,708210,754055,-1,-1,893468,479314,-1,-1,-1,127060,299153,399236,592176,9227,613244,-1,103294,268228,540567,-1,270067,657541,-1,495884,385261,-1,662731,735529,-1,541548,39240,270131,-1,-1,-1,-1,473386,387434,881868,474890,-1,383856,137517,966985,-1,-1,159056,-1,-1,272835,216006,-1,-1,26809,-1,614038,996118,291147,-1,239537,-1,-1,-1,-1,-1,-1,-1,67490,821010,389413,-1,854932,-1,736893,655371,-1,-1,-1,-1,901294,-1,-1,-1,818374,139541,962556,-1,-1,273112,252540,679116,-1,318006,-1,-1,-1,110832,-1,758140,-1,-1,-1,370446,15535,844535,749909,991997,100727,3667,-1,711135,-1,53428,-1,244721,14677,664467,-1,929118,401541,424279,349711,564946,336241,693756,561885,676760,-1,363804,231079,489251,-1,-1,-1,-1,-1,605437,721972,-1,27629,732676,272222,-1,-1,-1,-1,353589,640486,-1,99506,582597,931195,727506,802093,-1,-1,-1,114737,430756,995017,680510,920556,959039,566805,-1,968675,964181,660691,927058,237887,501920,893891,846535,959257,28965,-1,35040,726281,-1,-1,-1,-1,-1,-1,355779,-1,-1,149176,-1,395413,190981,-1,-1,-1,-1,666998,230847,15961,555672,-1,209262,363385,-1,189576,304203,-1,-1,-1,554163,794946,4204,-1,-1,-1,855054,-1,31601,-1,-1,-1,-1,-1,-1,-1,424657,730227,356082,531023,-1,-1,-1,-1,-1,-1,242175,918501,-1,-1,-1,-1,-1,-1,508590,-1,498017,-1,797640,-1,-1,-1,216297,247969,378666,-1,671784,457938,-1,969138,954634,-1,513659,-1,-1,-1,-1,-1,929248,-1,282639,936323,-1,706707,354002,724978,667032,-1,797780,806377,844008,-1,-1,624419,231300,721666,168958,489079,-1,969049,-1,-1,-1,-1,410524,-1,659501,-1,450611,-1,406154,-1,-1,100264,-1,148792,-1,149139,-1,-1,847839,-1,-1,10493,-1,572441,331695,551149,-1,-1,-1,780400,-1,-1,-1,850002,837276,-1,512751,884157,707357,-1,993787,-1,-1,-1,641775,-1,-1,178897,-1,933419,505534,619699,289183,-1,511291,327184,785238,-1,-1,-1,-1,-1,-1,-1,2702,7482,-1,58087,-1,692320,-1,-1,-1,27608,-1,-1,-1,210853,-1,778953,-1,-1,161976,987878,-1,418722,467284,-1,608599,-1,993129,769568,278849,-1,-1,811088,-1,-1,-1,-1,114525,969938,45511,63564,799537,580908,315434,-1,704289,-1,150868,-1,455302,160779,-1,-1,-1,467737,-1,-1,884440,204633,494738,-1,462129,-1,497628,-1,-1,-1,-1,197690,-1,195941,-1,-1,-1,836511,193646,-1,862082,-1,632801,716686,-1,-1,-1,-1,-1,317608,96243,-1,942303,-1,-1,983298,-1,327822,865785,452576,-1,-1,-1,-1,-1,759742,-1,-1,-1,883614,177994,660707,-1,-1,185252,-1,618146,789742,650277,231504,84466,143344,-1,-1,-1,-1,116523,-1,-1,682730,-1,-1,-1,-1,482966,242925,-1,-1,753719,-1,43763,-1,454204,759191,-1,-1,521443,-1,-1,842849,-1,159291,190535,-1,314203,741137,714485,-1,331858,299880,459353,175201,625467,770662,414523,324650,-1,-1,864555,241093,762559,-1,-1,-1,-1,-1,451348,-1,-1,-1,-1,-1,938840,459366,-1,507900,400149,569629,-1,-1,876451,-1,-1,-1,-1,537077,905973,-1,864965,976145,-1,-1,504532,490764,-1,-1,-1,548562,815114,-1,-1,778576,-1,778591,894146,-1,-1,-1,-1,-1,-1,-1,138347,699894,820092,577124,771729,277159,-1,741104,799,-1,521235,39934,-1,-1,-1,-1,-1,447083,668519,-1,343401,392038,-1,-1,-1,-1,-1,459507,169746,713696,427245,490975,-1,-1,-1,-1,327955,445035,332627,528401,922848,-1,245029,426352,909863,390760,-1,101603,-1,736448,-1,91810,468955,-1,711376,-1,-1,-1,399528,-1,-1,-1,480216,-1,-1,-1,-1,702718,636300,509207,827988,-1,344611,-1,405849,356897,-1,-1,97149,-1,-1,366865,-1,-1,636732,284092,314006,-1,-1,747391,-1,-1,555734,-1,-1,472666,-1,733301,-1,632408,528170,-1,-1,-1,836274,773779,-1,-1,-1,342662,-1,125311,94091,-1,-1,401176,302510,-1,30458,993368,695460,629121,877218,833639,-1,-1,-1,236553,58435,-1,767784,536611,622204,-1,356194,-1,-1,94255,-1,882112,989936,52998,842767,866043,274054,-1,730284,-1,370769,-1,-1,-1,826719,-1,-1,399228,-1,73012,-1,96870,-1,45260,-1,-1,-1,-1,-1,-1,215540,452091,-1,-1,579420,-1,-1,155792,-1,666225,50531,-1,-1,-1,-1,615443,-1,-1,-1,-1,-1,410425,236611,-1,607776,-1,558865,985073,-1,-1,443421,-1,-1,706407,838209,612691,-1,-1,644042,-1,-1,273690,493346,-1,202957,569934,-1,-1,873168,358483,-1,-1,-1,-1,-1,734061,-1,-1,-1,996481,-1,-1,366027,-1,-1,562569,-1,353406,-1,845724,212313,943251,-1,431184,366273,-1,613407,529128,515631,-1,526110,975055,121311,55353,-1,-1,-1,-1,627997,417023,-1,-1,-1,-1,-1,520983,-1,-1,573013,920931,293911,-1,-1,670109,138391,-1,138951,528898,-1,611521,697600,850222,99266,-1,-1,-1,-1,-1,242174,103977,-1,-1,-1,651228,-1,198514,776890,-1,271924,917782,-1,-1,615455,468731,-1,902616,903862,395138,-1,-1,622235,-1,401923,53655,689071,173968,-1,391060,-1,-1,456063,270782,502814,14672,543977,229017,127106,483965,285681,543035,702083,-1,615202,-1,696838,-1,-1,598779,24331,-1,-1,-1,-1,507512,-1,227132,294283,574894,-1,-1,-1,-1,472906,-1,-1,138285,-1,876751,199972,505248,612891,617043,140302,-1,507505,-1,817139,157328,723092,-1,581069,882802,-1,152837,-1,-1,145260,726595,-1,-1,56320,533688,727522,790369,-1,-1,-1,-1,-1,-1,-1,772835,-1,215462,530683,744087,745222,-1,-1,-1,-1,491060,420221,-1,987823,-1,-1,-1,59326,-1,203124,217715,517003,530176,-1,94019,186594,333073,559295,-1,938965,581663,-1,-1,-1,-1,424200,531262,979838,926580,-1,-1,-1,29054,-1,683574,675558,277642,799595,-1,-1,152785,492241,775371,946312,-1,-1,-1,139447,-1,-1,-1,-1,586173,-1,147025,817828,287681,996042,753734,-1,942900,-1,877245,933274,689220,913770,183109,566383,-1,463860,-1,480438,-1,-1,537174,926121,785979,990819,306312,151416,58599,716799,35082,-1,-1,850637,247529,912118,397899,-1,384555,620926,-1,794502,-1,956221,423559,-1,395346,870955,-1,-1,-1,152807,-1,-1,962194,-1,-1,-1,-1,785237,526535,-1,-1,549953,535286,-1,613813,-1,899008,720362,-1,42805,-1,-1,-1,-1,919754,-1,-1,-1,-1,251564,882186,604429,-1,-1,881479,-1,200494,-1,-1,-1,445511,701877,-1,-1,519831,-1,606132,34880,-1,-1,-1,476498,-1,820738,-1,140757,-1,-1,-1,-1,-1,-1,-1,781758,-1,256085,341956,-1,343327,-1,109035,677770,-1,-1,167262,-1,645397,76859,746610,-1,-1,-1,120503,235655,155180,-1,790871,397003,-1,81029,-1,-1,-1,797138,-1,195014,978101,640112,-1,691128,429271,-1,-1,841742,756744,206526,-1,-1,-1,-1,735947,-1,-1,-1,-1,831242,747314,-1,822175,-1,-1,88828,317737,12711,204228,-1,-1,-1,-1,338361,-1,-1,-1,72061,878153,-1,-1,105632,37596,911325,-1,-1,-1,548432,-1,-1,-1,525781,168656,410880,-1,359143,-1,-1,63139,-1,959397,729974,225422,723552,-1,-1,-1,249928,-1,440806,690477,-1,187179,-1,-1,431181,-1,-1,-1,947827,677863,-1,-1,549449,795209,-1,806056,119640,-1,-1,-1,879961,281088,183513,-1,-1,870215,369142,-1,-1,-1,213026,-1,997440,-1,-1,-1,598750,-1,-1,-1,135834,-1,-1,519140,-1,565570,-1,-1,-1,443514,-1,758592,833764,756219,775364,-1,-1,-1,-1,-1,909817,601922,-1,860580,-1,752341,-1,470687,-1,678867,-1,-1,72422,-1,882413,702378,-1,731747,-1,-1,145945,942834,-1,-1,541502,-1,-1,-1,930761,634457,924527,-1,45593,-1,-1,998799,-1,173104,981028,748875,-1,112247,485054,-1,-1,197360,-1,382760,925816,-1,232336,-1,-1,-1,675226,817608,-1,-1,860774,638003,-1,-1,-1,978076,478117,500239,-1,-1,-1,-1,-1,539406,495239,38188,438388,-1,-1,-1,380511,38248,-1,314358,316573,314550,-1,943602,477719,184807,610181,-1,758933,-1,182495,810728,-1,464086,-1,828508,-1,-1,-1,124455,257673,-1,-1,181517,-1,-1,15610,957355,-1,252350,377311,744208,-1,123783,36580,-1,-1,219292,430914,252008,-1,821231,621248,-1,-1,811105,-1,384675,721163,45708,-1,36357,599739,-1,217812,997713,-1,-1,-1,-1,835402,-1,825480,-1,512665,-1,802721,-1,-1,850651,766118,683721,791891,-1,867171,-1,307805,795692,150368,68716,958192,78370,160981,736450,-1,-1,-1,692665,-1,-1,-1,-1,147658,-1,271058,623971,-1,909096,68909,-1,177521,300709,-1,-1,614563,-1,-1,979734,-1,963643,967714,-1,-1,818591,-1,-1,930244,-1,-1,197086,-1,-1,701015,282777,775819,710203,987490,-1,-1,-1,-1,718452,-1,378599,297275,-1,364593,-1,-1,978210,252256,-1,984251,-1,-1,558466,-1,-1,-1,-1,-1,-1,-1,131254,-1,-1,353690,-1,25442,586317,849754,887520,289757,-1,-1,-1,779501,100956,291763,121297,213024,-1,352418,561503,722650,374398,836852,580357,710878,619858,769169,-1,-1,-1,751248,60191,683555,93697,-1,18677,-1,-1,-1,578773,622571,-1,686912,667470,151024,63297,134299,-1,453668,409027,-1,235168,145738,825064,-1,754313,99092,939520,653,552648,-1,176653,663138,-1,-1,-1,-1,-1,-1,-1,-1,-1,739459,832520,-1,-1,490411,392297,430922,782173,-1,-1,221244,498991,718275,857505,319783,706293,87838,602314,-1,251777,-1,797107,449461,-1,-1,17415,954817,416639,-1,534542,-1,681666,-1,867006,-1,-1,-1,-1,583828,629920,142478,342571,71281,237273,669523,-1,118418,468006,825461,-1,-1,835841,-1,-1,-1,-1,668956,-1,814602,360030,739069,135434,-1,-1,-1,-1,-1,641172,-1,540543,-1,-1,123577,791392,-1,-1,-1,888591,-1,775983,-1,-1,-1,-1,256510,288410,-1,-1,465165,-1,189756,179125,852455,-1,-1,-1,-1,557039,781040,-1,-1,660570,784585,-1,272912,-1,876393,-1,-1,-1,194520,903612,-1,695059,784076,231888,432752,804426,-1,827707,494553,671190,-1,-1,814305,335572,785926,-1,-1,988244,312213,814023,-1,874760,772065,428758,-1,-1,410718,982875,248915,-1,587355,916331,-1,-1,88012,136382,5084,152831,-1,623844,441847,545530,452462,40504,-1,357517,-1,746719,-1,-1,-1,109532,-1,970161,-1,-1,329952,-1,-1,-1,-1,50536,-1,-1,129554,-1,888628,787064,-1,824730,636809,-1,600629,115245,822194,-1,-1,644065,-1,270177,-1,-1,-1,-1,-1,-1,-1,832925,-1,-1,-1,-1,13161,-1,250825,99006,-1,853546,-1,185248,-1,-1,416568,-1,-1,963436,92735,897879,712681,332235,-1,-1,-1,924938,174626,-1,641563,-1,785475,97876,-1,707492,366344,247090,-1,-1,489833,677580,836887,-1,33503,816886,736836,746910,557290,471657,-1,-1,-1,914297,917586,878061,-1,-1,430927,557638,656783,-1,-1,214805,707901,655010,-1,964621,2125,133960,986575,321456,145085,-1,882912,281195,-1,-1,582783,-1,-1,984709,884313,-1,368297,-1,-1,148998,443906,-1,-1,806664,134140,-1,-1,534694,-1,852524,-1,-1,-1,749799,-1,235697,-1,823110,62883,854351,486123,-1,-1,737983,-1,-1,-1,-1,630441,-1,786169,722935,351588,221812,387326,-1,987846,670332,318832,-1,494277,-1,-1,905429,-1,-1,309641,902494,-1,-1,-1,450440,258936,476854,-1,527964,-1,352874,774389,-1,-1,-1,-1,-1,-1,-1,184694,271905,-1,945648,266249,-1,-1,-1,-1,33641,-1,573931,-1,-1,-1,132879,-1,983827,-1,-1,405575,74893,-1,713230,252940,-1,-1,983581,-1,779010,73957,-1,-1,527954,-1,130555,188050,484615,-1,263944,949176,43800,402099,801358,826962,491318,-1,121224,436865,620384,965648,709064,405802,-1,-1,707447,274044,-1,-1,153999,-1,380514,671928,660716,-1,-1,-1,-1,154006,261354,906366,-1,862197,-1,-1,144534,-1,-1,-1,-1,-1,762590,-1,-1,-1,727244,768099,84760,-1,565714,478865,-1,-1,713034,-1,-1,-1,-1,-1,-1,71995,511424,388703,-1,245321,-1,915600,159124,562334,886292,746397,-1,539843,-1,591533,-1,175059,348301,470577,-1,80815,559304,209763,382354,781585,243889,-1,339353,852745,581127,-1,992826,-1,-1,-1,1015,603253,698835,892551,-1,299381,-1,898896,-1,156647,458960,883506,974402,-1,598501,-1,-1,-1,473931,-1,815378,737156,774638,661703,-1,685470,173424,627983,123808,-1,457881,-1,571520,-1,406183,481621,-1,978040,65803,809864,213883,974558,329344,210297,-1,-1,372240,-1,-1,879853,-1,378763,794640,-1,334068,-1,-1,-1,667894,342825,119824,667608,213897,-1,309156,784293,-1,-1,-1,547246,-1,43525,303864,-1,813418,-1,-1,33882,218722,103719,-1,300466,-1,-1,-1,767045,194975,981499,899048,-1,-1,-1,898687,105123,-1,-1,819475,-1,48713,-1,800098,-1,832739,726528,860118,-1,526170,-1,895117,-1,-1,-1,-1,-1,930082,395662,944043,-1,-1,-1,783050,-1,993930,651997,759058,-1,-1,-1,452061,-1,-1,605449,-1,159929,-1,491646,525071,686366,-1,-1,58057,563545,-1,-1,611751,442044,-1,824490,107727,-1,-1,71607,-1,-1,108579,-1,-1,640933,-1,-1,-1,19722,335712,-1,221626,536017,996477,-1,-1,723444,50007,-1,556310,968820,-1,-1,974100,944099,706956,330280,-1,-1,-1,724328,610441,-1,-1,335006,437186,-1,-1,-1,587892,200581,-1,612132,-1,-1,879410,-1,49686,923729,-1,-1,619764,963785,-1,-1,-1,476680,-1,691928,752882,-1,228206,916683,-1,299493,831610,382763,-1,32554,229960,621862,794164,-1,870090,34350,-1,491165,550760,-1,-1,-1,24397,-1,393777,-1,-1,749296,469024,-1,-1,-1,947711,610994,789265,-1,170397,-1,280048,756953,486741,-1,554469,643651,-1,371847,-1,382519,-1,-1,-1,980109,673657,-1,-1,802775,559930,-1,162252,79486,-1,54284,215415,649174,724905,-1,394812,-1,400973,-1,-1,848173,-1,638242,-1,-1,-1,530846,-1,-1,-1,13109,-1,-1,989973,-1,-1,-1,218204,503691,-1,-1,-1,-1,437834,708951,705359,754760,451823,932126,-1,331183,753927,-1,912729,-1,-1,740128,-1,-1,-1,967815,-1,-1,-1,129735,-1,-1,47348,-1,918771,835487,-1,-1,-1,317209,-1,905313,41270,598221,255045,-1,423745,-1,-1,248283,-1,-1,870100,-1,-1,-1,140485,903197,-1,668711,999963,-1,-1,607951,-1,332816,826831,215534,429861,-1,-1,665641,-1,483707,-1,760678,235080,-1,870633,-1,-1,567645,92972,539476,191035,-1,807939,211131,281089,-1,440768,-1,766785,604159,-1,469398,-1,802816,-1,-1,-1,291220,-1,-1,-1,690209,-1,264395,-1,112216,722716,654926,157666,716618,-1,-1,886192,497416,609100,589805,-1,-1,492330,-1,889076,-1,-1,-1,-1,-1,926001,12351,69446,-1,-1,660092,-1,930384,795052,298240,-1,-1,-1,-1,-1,62382,771995,799621,-1,471710,-1,-1,-1,-1,-1,-1,-1,-1,199538,-1,-1,817672,594770,890495,923530,266322,-1,948500,757331,-1,-1,-1,678920,553118,505258,-1,-1,509712,91087,603872,-1,818247,689917,610767,758041,-1,-1,191566,-1,-1,-1,929289,103268,-1,326137,390855,830642,-1,992013,-1,168607,-1,882610,-1,109152,-1,-1,-1,233983,879876,668764,-1,132778,-1,-1,-1,583751,-1,-1,970122,793488,875134,68545,-1,57793,130148,372265,-1,-1,-1,930675,-1,-1,865643,226269,345127,-1,37241,787623,-1,-1,-1,-1,396306,706969,92037,40808,-1,-1,397678,278530,-1,-1,-1,663329,-1,514116,899405,30396,-1,569081,-1,-1,64324,299090,350457,506128,965374,-1,286458,-1,824007,576905,647559,-1,-1,-1,-1,660880,-1,-1,-1,-1,-1,-1,-1,5187,734330,106159,581471,259960,-1,973673,-1,-1,223693,-1,900853,-1,956883,-1,-1,-1,295569,269139,307963,-1,800312,-1,-1,106924,499384,-1,444010,-1,-1,-1,915741,850819,267115,-1,675993,-1,-1,528066,-1,501886,178181,834082,981017,-1,267417,809682,708834,672580,135015,-1,-1,-1,-1,-1,808536,-1,-1,-1,-1,602643,528868,-1,540751,-1,-1,-1,-1,-1,689417,216479,784569,618206,912419,325144,-1,-1,-1,319198,247308,-1,145716,945773,-1,964660,847833,128660,-1,-1,259218,-1,-1,952676,818138,-1,293179,-1,113588,-1,493839,18528,474030,-1,303428,-1,-1,741800,-1,630630,-1,-1,770595,-1,385113,-1,-1,-1,-1,-1,477179,-1,90911,13439,-1,-1,-1,-1,125397,243655,173814,-1,77741,-1,423716,-1,-1,312290,812384,-1,474725,-1,153814,940353,-1,952621,312936,245964,150992,479944,-1,-1,-1,77725,384742,106029,903986,879649,149063,824331,939695,371897,-1,959207,232756,487277,-1,-1,666609,-1,-1,-1,-1,-1,35377,46907,-1,978835,116567,-1,514059,464921,-1,-1,-1,-1,-1,384914,-1,694593,450137,842626,-1,-1,687506,-1,-1,-1,-1,219392,876839,-1,478425,9423,-1,335024,-1,-1,562156,235132,577537,543171,418199,-1,743492,7632,-1,65090,-1,-1,-1,-1,580109,960502,-1,-1,792840,-1,613819,8735,-1,271189,-1,-1,553931,707098,-1,405437,973758,398932,8485,-1,469496,735368,459848,203068,687360,317056,-1,320068,826241,-1,-1,42406,686559,-1,-1,-1,-1,-1,-1,14889,992093,638904,688172,-1,-1,632083,335854,193154,-1,-1,-1,-1,521417,-1,453707,429691,643255,-1,881486,-1,468309,-1,-1,-1,-1,704754,944459,197324,-1,-1,-1,88984,302606,-1,878231,-1,342724,-1,397166,202031,242873,31522,-1,32565,991596,403281,-1,-1,-1,-1,-1,-1,875753,87806,-1,-1,-1,736265,-1,-1,-1,-1,-1,861515,-1,-1,594466,-1,190583,-1,957115,296867,-1,99942,-1,-1,880620,-1,904543,-1,929250,-1,701499,-1,-1,541216,779500,581316,885670,-1,282263,-1,-1,-1,473369,183572,708777,890981,-1,-1,-1,-1,834040,115702,-1,-1,-1,490388,463188,-1,410499,514572,270749,-1,942382,396677,369744,-1,429657,34394,11427,-1,924761,199467,-1,-1,-1,-1,-1,681816,-1,777653,926696,207910,484059,790879,-1,701047,972904,-1,738235,260639,-1,-1,-1,559625,-1,-1,-1,999865,-1,-1,633629,606528,-1,-1,-1,-1,-1,-1,-1,854588,-1,648358,-1,222730,-1,264266,837213,-1,42375,781565,-1,412222,-1,-1,-1,443264,382680,-1,926897,-1,872318,-1,780499,-1,48955,500983,735209,-1,-1,758788,-1,-1,938055,-1,-1,-1,-1,892455,-1,-1,-1,-1,66335,200231,-1,50669,871339,-1,766642,957022,959672,174665,143306,-1,460728,443927,462691,648793,-1,-1,-1,-1,859270,382481,-1,200648,-1,826951,-1,38761,-1,-1,610113,753910,939409,-1,55058,-1,263973,-1,657972,-1,-1,-1,-1,712077,189987,-1,-1,611465,880830,213938,462506,820573,149708,339375,303033,96061,256813,656832,988329,-1,-1,927173,-1,835488,384433,953800,-1,-1,-1,-1,-1,523947,588734,965765,299484,823957,839655,118384,-1,-1,476501,47034,-1,488060,-1,-1,-1,885176,-1,483937,-1,451100,-1,-1,-1,-1,-1,469321,636826,-1,466061,517434,921795,-1,-1,45751,564114,-1,246695,343637,-1,-1,-1,963911,624608,-1,-1,-1,-1,849351,-1,-1,417674,-1,457542,-1,-1,312786,-1,20146,497481,-1,-1,-1,-1,349675,-1,843957,-1,-1,194695,-1,-1,-1,-1,516242,623013,291922,988624,-1,152778,778843,653985,-1,-1,-1,95140,251071,-1,646818,414141,-1,-1,644804,696847,196343,60817,-1,-1,506496,744047,-1,-1,866718,-1,371623,-1,551150,-1,-1,913589,-1,-1,370653,174687,796369,-1,-1,268611,-1,-1,695848,966924,-1,761712,-1,-1,-1,-1,-1,-1,-1,-1,-1,993374,-1,-1,-1,-1,-1,-1,-1,796392,-1,-1,311114,450638,-1,911450,537351,567352,-1,375755,-1,481918,-1,507491,-1,-1,751599,865750,358168,914435,-1,685869,678935,104722,-1,542929,-1,-1,109163,-1,-1,-1,-1,943354,770155,489035,-1,869612,-1,-1,89355,753810,57708,339344,188167,-1,728482,190306,-1,999885,-1,-1,-1,-1,-1,-1,838345,-1,-1,-1,-1,594820,554711,584820,706914,221644,-1,-1,275695,-1,677108,41080,-1,-1,-1,169646,591797,445,185454,-1,-1,-1,-1,-1,-1,-1,-1,225417,-1,-1,-1,66329,805660,-1,575424,-1,921873,-1,12278,-1,686308,-1,-1,719766,-1,-1,7975,-1,-1,-1,-1,-1,-1,-1,210956,-1,508011,228314,118574,359277,-1,-1,738168,481477,712095,-1,679928,607327,-1,-1,-1,-1,-1,-1,25589,651893,-1,-1,572816,172831,197243,-1,369754,367657,-1,997588,-1,-1,-1,14507,665933,635688,347126,593187,-1,877897,-1,-1,-1,805947,743672,-1,726579,-1,-1,917509,237559,62438,-1,-1,209010,471737,-1,188399,221169,-1,-1,428637,73843,-1,-1,-1,-1,880003,-1,-1,-1,402795,866101,-1,-1,152604,-1,-1,73364,-1,233628,-1,-1,-1,-1,-1,86228,16557,633471,238130,461931,-1,-1,-1,-1,886266,420473,262954,-1,-1,837068,-1,4379,-1,-1,38997,-1,735174,-1,551015,-1,93057,-1,232944,954851,356854,-1,-1,984806,534133,950371,438387,-1,320417,754719,-1,787828,-1,123788,-1,-1,-1,298229,253491,-1,448360,-1,637547,363151,-1,-1,-1,-1,862307,-1,149554,-1,80129,-1,-1,-1,502401,-1,-1,-1,576129,48719,-1,274124,619696,-1,244627,-1,706115,-1,896369,-1,537917,-1,-1,-1,-1,-1,-1,-1,-1,686906,-1,85792,189325,-1,561090,-1,18978,-1,-1,-1,-1,721728,805277,-1,203272,-1,273659,-1,-1,-1,916393,177935,-1,463174,-1,328938,980785,-1,-1,-1,413861,-1,-1,31613,-1,-1,-1,592994,-1,-1,-1,-1,878538,194006,314476,-1,-1,-1,-1,861683,-1,-1,-1,-1,98134,-1,850780,42238,-1,784594,-1,921483,845654,-1,-1,337164,-1,-1,832693,740353,440400,886800,-1,-1,419470,579551,717657,-1,-1,653615,-1,-1,567216,-1,473796,699418,-1,-1,585043,-1,33915,-1,353,911809,-1,918477,632629,-1,-1,233427,-1,543383,-1,-1,-1,476516,-1,-1,844934,-1,880283,-1,329076,-1,588331,562730,-1,725311,600024,-1,809702,-1,388104,678984,-1,-1,997582,-1,-1,-1,479785,391819,-1,-1,-1,185040,783068,400965,-1,-1,870288,814171,-1,473732,-1,-1,296519,-1,-1,-1,-1,-1,-1,132770,-1,754435,246439,-1,-1,437008,-1,248396,-1,-1,74121,-1,307040,263557,-1,-1,-1,4254,-1,564815,139051,167273,489945,-1,-1,-1,-1,-1,590485,128470,-1,-1,-1,229332,349556,-1,295564,782075,613501,254000,802012,-1,119528,115819,-1,-1,665500,611659,-1,254388,-1,162835,175829,44706,652143,-1,663013,635509,921084,-1,668248,810708,-1,177638,208577,736787,-1,-1,283610,432370,-1,250316,655116,-1,-1,-1,236523,-1,402674,545584,637840,329458,457834,-1,171808,-1,-1,426291,-1,123092,896933,-1,-1,-1,298899,-1,499065,133231,249248,-1,284521,-1,-1,728552,-1,-1,-1,158841,920783,50297,671047,547180,78324,-1,872947,307103,123695,758330,128192,-1,56282,-1,-1,-1,-1,-1,186037,-1,306593,-1,-1,-1,-1,-1,634093,-1,-1,797173,-1,-1,-1,59955,306923,-1,949270,338736,859932,911821,-1,-1,203818,-1,448092,256997,143403,-1,-1,650457,82885,521083,279685,-1,-1,743278,199495,306012,-1,-1,645286,108340,714521,-1,8022,177293,186882,584484,-1,906418,-1,-1,-1,842499,-1,-1,-1,-1,960196,-1,923537,-1,-1,-1,270257,732433,-1,44101,197634,153912,616228,250710,-1,-1,-1,936567,-1,-1,-1,264946,920597,944772,-1,85828,985979,-1,-1,136863,348638,-1,-1,661370,191631,-1,462862,276588,-1,575786,-1,660149,834810,481837,880064,-1,547283,-1,-1,-1,665473,421183,737589,-1,-1,-1,-1,-1,889575,713527,-1,353867,560834,234012,-1,809954,-1,793776,398252,46344,15572,253738,277942,-1,467788,977416,-1,-1,-1,-1,200034,-1,362725,-1,-1,-1,-1,901786,250941,-1,-1,-1,-1,137617,190821,606146,681463,-1,-1,-1,-1,-1,-1,854315,-1,238791,741168,925053,943440,-1,-1,670185,-1,-1,637170,294273,-1,-1,-1,971412,-1,710228,278020,-1,157930,-1,-1,-1,792716,-1,551026,-1,357290,-1,987918,-1,662473,130169,-1,-1,865125,589666,-1,-1,-1,-1,-1,239638,473158,536246,222929,967995,-1,699046,144280,-1,-1,-1,-1,590305,639840,-1,360877,-1,967986,-1,-1,908906,727396,524362,-1,-1,639972,-1,397777,-1,-1,903963,-1,-1,-1,-1,215671,-1,14267,-1,-1,206485,982543,889747,-1,-1,57013,901655,36126,-1,-1,-1,-1,801008,970564,-1,-1,795919,-1,-1,-1,-1,-1,473034,227837,-1,-1,-1,-1,453736,-1,-1,809000,-1,556368,-1,679166,192926,-1,-1,-1,966339,-1,-1,-1,-1,-1,564441,256536,917115,-1,503741,-1,-1,-1,-1,-1,340683,171430,-1,319848,799143,-1,380817,-1,-1,-1,536515,317281,68038,-1,170974,81641,-1,32124,-1,119387,-1,-1,-1,-1,298782,170151,-1,863769,-1,120013,724040,-1,-1,-1,414845,540143,932566,-1,-1,851011,230093,-1,466658,-1,-1,925602,-1,319378,566024,-1,495356,-1,-1,-1,363955,-1,-1,87038,876670,-1,-1,-1,-1,-1,-1,-1,-1,-1,463343,-1,98996,-1,-1,1621,515618,812735,-1,-1,-1,-1,-1,325065,-1,936353,934029,178044,-1,849158,-1,451591,431086,965204,579985,-1,38377,-1,500683,-1,-1,-1,348311,84688,767167,-1,-1,646856,-1,-1,-1,308784,278550,954037,-1,382507,33548,313427,21159,378691,-1,-1,-1,-1,98509,821595,707841,407331,-1,43172,-1,-1,-1,-1,87404,19108,867554,326098,-1,-1,-1,257783,287985,285674,226638,276958,-1,-1,301864,642363,402584,762770,231287,-1,-1,-1,435920,907954,710563,-1,144991,-1,-1,265074,-1,121244,158292,234296,-1,739799,28407,379815,-1,-1,852488,-1,863276,-1,490566,843088,790224,891344,904258,802613,589877,581761,345011,591927,274508,-1,595175,897853,147593,312367,-1,-1,-1,978377,-1,-1,-1,-1,-1,712002,476209,265732,-1,362734,-1,632107,-1,814059,-1,468684,408325,-1,-1,27886,-1,811277,70647,758685,-1,804290,22469,462588,24617,907303,243058,420617,6369,-1,11100,-1,-1,368718,-1,383147,654904,-1,180895,-1,9186,551831,-1,-1,241321,-1,752367,888624,-1,925083,-1,-1,866558,-1,208672,843597,686415,935068,-1,-1,-1,-1,858524,-1,-1,69054,351356,104862,-1,600461,496669,37038,571807,815072,-1,-1,519708,56491,805820,-1,-1,751013,-1,656893,386577,938429,-1,-1,-1,597214,-1,-1,631485,361227,498845,-1,89294,976574,12919,844499,405047,-1,-1,840941,-1,-1,671818,597896,-1,940531,343780,785917,218213,113707,539501,110222,66981,-1,-1,-1,-1,-1,-1,73607,663546,690691,193618,845591,-1,-1,758555,-1,51449,793826,602466,117604,870976,-1,-1,719909,-1,-1,388026,-1,-1,-1,-1,779345,879168,735294,-1,628688,-1,-1,162035,-1,533516,-1,-1,-1,372040,-1,667576,-1,566891,845925,-1,-1,-1,265097,-1,-1,463900,-1,-1,-1,-1,275248,-1,29038,402791,90809,597522,-1,67320,622961,721,-1,-1,923874,354090,691455,-1,-1,-1,-1,570760,685593,768555,686842,-1,-1,-1,-1,-1,-1,324257,563474,647065,362107,-1,-1,25291,844038,895601,591464,958253,50628,653839,-1,990552,-1,-1,-1,-1,-1,612082,165135,537089,-1,679724,752777,274597,516560,-1,759223,-1,-1,-1,2496,428972,404973,548119,451957,-1,-1,97804,236186,-1,-1,283301,227861,-1,-1,999876,530436,607937,-1,-1,898599,-1,-1,-1,-1,780997,850876,201941,261832,-1,204255,-1,-1,-1,843385,-1,234744,820808,-1,-1,-1,-1,-1,73537,860405,499945,-1,-1,-1,-1,344591,114831,829178,-1,271018,-1,-1,405686,-1,-1,-1,-1,728845,396997,54461,-1,814615,-1,-1,-1,236436,-1,872189,305051,-1,-1,810953,-1,970262,746212,-1,-1,547208,846402,-1,-1,833854,-1,-1,834137,982003,397848,680627,836951,-1,594563,555656,309415,943200,-1,404536,-1,1734,-1,-1,301550,-1,473061,607283,866166,540845,395539,-1,-1,622790,-1,138901,-1,900485,-1,-1,910108,-1,-1,-1,606170,146135,110840,914716,686985,-1,642196,821004,570941,-1,321424,100261,96951,62465,-1,-1,876213,-1,-1,895804,-1,416925,-1,124844,-1,870668,-1,635198,-1,-1,-1,-1,781077,-1,-1,146109,-1,-1,394960,-1,-1,-1,349788,-1,-1,760362,14562,-1,-1,-1,694848,907693,-1,771685,-1,719758,771568,-1,245858,-1,850156,626465,-1,-1,-1,-1,871070,-1,-1,799333,75583,378537,480017,357577,-1,-1,644119,338160,627734,995549,204252,512228,-1,262132,852902,-1,685,157474,-1,392526,-1,1278,327767,-1,-1,-1,432228,-1,806024,159728,-1,555237,-1,14919,-1,-1,-1,348664,425636,-1,-1,32666,653040,190252,-1,-1,-1,-1,-1,-1,514246,601757,284291,-1,97392,-1,-1,-1,212799,-1,-1,562041,-1,-1,-1,905386,914914,-1,-1,-1,468190,573601,-1,419975,-1,845651,-1,-1,-1,392869,-1,569720,862664,-1,731533,-1,731803,-1,-1,-1,-1,-1,700861,578575,-1,307443,155430,718237,-1,-1,-1,735177,101396,706305,332203,843440,202266,95289,661584,-1,158260,34874,-1,-1,479713,241436,-1,-1,474027,570604,844703,297413,447667,710456,-1,57234,-1,-1,-1,224561,-1,-1,-1,133015,-1,-1,-1,798139,-1,-1,657280,792078,-1,787514,824299,771484,990731,-1,807816,423298,356753,-1,561802,141350,-1,469653,-1,-1,-1,445754,182648,842038,-1,-1,655537,16714,315200,800164,192863,-1,-1,608656,517163,585288,-1,212386,-1,565435,-1,-1,-1,-1,-1,-1,-1,-1,534655,107290,781104,217613,-1,457027,781622,466635,237180,-1,418689,-1,-1,662928,-1,-1,737907,-1,-1,488927,215716,-1,310713,415546,711596,410809,101162,-1,-1,737886,-1,46698,-1,32893,380525,-1,994171,-1,-1,-1,-1,-1,193006,580811,615910,885478,61412,510774,827562,374907,660399,-1,-1,794670,671221,686775,-1,-1,326211,-1,-1,398563,430900,-1,310221,-1,-1,-1,573691,-1,-1,600398,-1,-1,-1,734922,517908,968338,989722,-1,52245,581507,16778,453084,346292,-1,314473,-1,889173,-1,-1,197691,630151,324506,-1,-1,12256,814302,-1,615417,-1,986520,-1,31459,-1,831027,-1,-1,-1,-1,-1,-1,-1,141184,-1,899758,451971,722138,495228,-1,928407,757742,54309,-1,-1,-1,-1,218970,783887,-1,-1,302254,-1,275854,165656,-1,839191,492831,-1,350559,-1,-1,-1,-1,-1,-1,-1,-1,478082,-1,-1,-1,879227,987793,-1,-1,312607,-1,-1,-1,118786,400882,973622,-1,-1,-1,-1,905578,-1,-1,52693,507964,-1,-1,753120,-1,882118,489949,768550,-1,101675,422726,-1,773590,-1,-1,-1,818169,159270,-1,538168,690124,413302,-1,144343,-1,-1,135454,-1,-1,-1,377042,665336,-1,-1,-1,357867,-1,-1,-1,262298,153433,-1,850036,-1,190507,562033,925250,-1,-1,950361,450579,265470,910619,-1,-1,-1,970786,746077,-1,42480,-1,490772,66515,197184,729586,921938,132311,341382,-1,-1,213148,-1,-1,381435,913106,-1,383171,-1,34211,-1,822971,308773,-1,345844,614641,716487,-1,408928,-1,698761,-1,452481,-1,240312,574782,433100,-1,-1,-1,-1,440975,-1,-1,-1,-1,373792,365242,-1,908716,737522,-1,-1,-1,-1,-1,344613,-1,627704,502459,257210,897970,-1,664068,-1,-1,-1,872061,534758,858543,-1,-1,91507,-1,-1,379298,-1,317863,-1,-1,584129,300329,-1,983028,-1,981571,-1,-1,-1,525500,-1,-1,317010,-1,-1,-1,-1,-1,-1,851245,814333,-1,-1,73453,-1,506928,873406,44806,831663,-1,-1,-1,-1,560615,-1,-1,258177,542366,626583,703380,342770,766098,-1,-1,-1,215122,-1,236620,-1,-1,-1,-1,-1,-1,308386,222993,735173,-1,334135,-1,-1,888034,-1,506541,-1,789060,-1,274778,156239,979593,781047,31225,-1,-1,-1,-1,-1,840849,-1,-1,-1,647855,378802,-1,236364,-1,-1,683152,789057,491874,129631,-1,-1,371140,-1,-1,-1,220520,141756,246953,89705,406790,-1,949578,-1,402633,853563,-1,-1,592724,576172,-1,-1,628576,-1,93239,138427,7929,-1,130872,455825,226784,496460,755766,418434,-1,263937,343555,-1,496936,-1,405249,552023,728727,670976,-1,76288,274468,623885,234152,369448,-1,187730,993629,513422,-1,825096,144086,843483,230222,241374,997485,374749,500705,496654,-1,-1,798183,-1,471885,236477,928212,-1,-1,561145,623807,-1,-1,952673,-1,845782,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,424776,212014,491823,-1,836247,-1,-1,-1,-1,36074,250240,996957,530710,-1,363855,514314,301810,260407,160107,590749,-1,71938,-1,261937,-1,800965,-1,457947,672680,399356,201864,995474,778835,814117,-1,-1,493335,-1,160761,-1,204658,90100,652614,486738,-1,870148,-1,57411,129739,338743,-1,-1,-1,579541,-1,37557,-1,272150,764803,-1,603992,-1,195613,879076,744447,-1,741249,-1,-1,-1,213579,957129,939364,834142,690784,-1,-1,-1,-1,-1,798099,-1,513745,-1,451980,922035,763526,109586,98515,434618,543538,-1,675305,-1,-1,-1,936084,-1,233437,-1,-1,927350,518450,275397,-1,615168,-1,600295,-1,-1,231082,72923,-1,152503,365174,399509,452399,173984,-1,486532,105717,603751,111498,559512,84658,315421,814405,700450,845492,-1,448782,-1,527453,248933,-1,-1,-1,65259,-1,-1,-1,-1,557639,553796,490685,989614,931868,-1,213873,-1,442950,-1,434908,305377,-1,-1,-1,-1,639800,-1,177947,-1,-1,-1,910551,805275,-1,-1,589212,847905,631538,-1,394612,194257,303032,-1,-1,-1,-1,575606,-1,865480,-1,417712,865719,-1,-1,970955,-1,-1,-1,-1,473878,-1,984620,650670,999326,-1,18943,907951,476141,-1,-1,367078,-1,-1,-1,-1,162090,568547,982688,-1,259503,860049,-1,733924,-1,272509,-1,231990,341407,5016,-1,705291,792592,61335,-1,756062,406825,-1,-1,-1,787644,363538,-1,-1,-1,147270,90939,-1,-1,37484,74922,-1,213771,-1,811865,-1,-1,-1,273901,-1,-1,-1,498604,608009,6323,486602,-1,273948,-1,-1,-1,441401,-1,869197,552507,291109,411194,-1,826336,-1,-1,-1,-1,982405,-1,654522,575722,667635,-1,568224,27489,-1,541601,-1,-1,457992,-1,781335,250465,-1,-1,-1,61305,16903,636547,174674,824887,-1,-1,885490,-1,-1,-1,-1,-1,-1,-1,-1,-1,156825,960921,-1,-1,684480,-1,-1,-1,77909,-1,657926,677486,53788,-1,-1,228813,-1,-1,154602,558964,-1,-1,-1,-1,-1,-1,-1,706879,-1,-1,290010,-1,-1,-1,131044,-1,99486,-1,653573,114659,-1,301687,678496,380252,-1,-1,-1,987249,-1,879182,-1,584107,604621,-1,813043,-1,299981,-1,-1,-1,-1,556481,-1,294165,464641,981767,-1,532579,881771,536703,402893,479394,924487,-1,-1,-1,688119,747310,-1,405662,993049,603825,115380,670439,135661,-1,-1,30471,-1,-1,-1,-1,567862,-1,-1,395030,-1,926240,19402,-1,-1,-1,-1,377865,215377,771303,-1,737876,759017,381942,-1,265310,691610,882962,429852,986796,436854,-1,353679,824573,449739,-1,-1,982912,-1,-1,710243,-1,486656,344034,74802,-1,242215,318613,-1,-1,-1,-1,-1,514110,-1,664567,-1,145407,-1,-1,-1,852948,-1,-1,708936,-1,-1,728320,-1,892714,345855,-1,436789,398155,-1,329256,661270,412978,338214,11767,155833,786482,965842,-1,-1,278220,606381,-1,-1,927619,530038,615071,397703,40889,-1,633200,804088,275725,888687,-1,821410,104651,937331,-1,800509,582280,-1,-1,-1,-1,308355,-1,844599,416797,-1,-1,-1,-1,-1,-1,359459,-1,-1,605143,-1,-1,-1,767940,423503,-1,-1,-1,-1,779370,-1,55200,392149,-1,903001,388873,-1,-1,-1,-1,747962,-1,-1,789447,374492,796461,-1,-1,891090,-1,-1,-1,-1,-1,-1,-1,-1,947512,12572,-1,-1,-1,868004,-1,833560,-1,27219,-1,-1,72123,-1,43995,869439,266906,-1,296413,-1,-1,-1,971298,164571,-1,-1,-1,-1,956801,512755,-1,-1,-1,321447,-1,-1,-1,270585,-1,310085,889525,163969,731584,96620,-1,24688,-1,274928,-1,-1,-1,702442,-1,556020,-1,104021,171701,-1,69918,-1,-1,-1,-1,596090,-1,-1,821718,-1,-1,186043,356526,-1,-1,906647,-1,642522,-1,916137,301952,155575,-1,-1,649076,-1,768711,945560,-1,465036,-1,280030,710849,-1,221830,837485,804643,984051,-1,212717,848838,-1,-1,-1,171840,-1,-1,38932,-1,-1,-1,427334,-1,-1,323289,-1,173602,938018,-1,-1,-1,485278,775152,-1,75497,169362,-1,784927,-1,-1,-1,70491,-1,383120,610666,390522,837682,294899,-1,353752,-1,333388,-1,130934,681750,-1,132395,-1,619868,598081,-1,-1,185358,-1,473406,224681,-1,553250,-1,521018,763106,-1,-1,-1,-1,577122,789339,41319,479854,-1,625394,63652,711636,774958,414713,-1,-1,919530,-1,599309,-1,-1,81510,-1,764129,-1,-1,-1,-1,-1,443493,815344,-1,22226,-1,-1,949552,322452,26788,298835,705696,-1,-1,-1,33323,941042,-1,-1,-1,-1,516836,-1,-1,760839,-1,458565,583289,-1,672762,483896,-1,-1,-1,663471,-1,406676,812816,-1,-1,-1,-1,-1,-1,436229,315606,491221,228036,508669,115648,-1,-1,991394,-1,-1,-1,325738,-1,677533,-1,-1,-1,-1,477884,-1,-1,-1,-1,-1,-1,-1,-1,-1,382482,359970,-1,-1,-1,790093,864481,-1,984907,-1,320189,76877,-1,-1,835546,621073,-1,-1,-1,908497,644701,-1,-1,-1,45716,490243,-1,960402,-1,262846,781290,-1,171904,377671,-1,88999,946911,872243,-1,-1,-1,-1,649434,258063,177860,31909,-1,133760,194175,34452,586768,569737,-1,459497,445714,-1,-1,379056,-1,729042,258885,-1,689808,790760,370999,-1,-1,311435,-1,468637,-1,381335,-1,745816,-1,90339,-1,765762,757700,-1,-1,-1,-1,809306,410353,332447,-1,618891,203246,-1,542297,-1,-1,-1,667438,560238,-1,449260,854113,57536,-1,-1,-1,-1,632132,-1,341961,-1,-1,-1,-1,311036,254599,-1,-1,-1,846212,159660,831012,182537,-1,109716,447128,545995,826798,-1,781538,537503,-1,481127,700446,-1,806796,-1,364988,-1,-1,420939,-1,217662,83217,-1,-1,-1,801834,-1,50059,372785,-1,108741,-1,436623,-1,964826,-1,178721,-1,846576,605783,470959,919516,855256,-1,260535,15114,-1,86283,-1,-1,-1,-1,-1,742257,138788,257214,421434,259525,987232,-1,-1,-1,-1,186285,-1,-1,-1,-1,766455,344754,893602,842722,-1,359959,385726,287326,-1,-1,-1,-1,901488,-1,-1,-1,-1,-1,187240,70866,110087,394747,-1,430314,-1,735108,-1,692217,67810,815658,643891,-1,788001,-1,750321,-1,614879,658694,-1,-1,332504,748137,159881,515433,936457,864786,410287,665692,836345,-1,174633,-1,411153,-1,-1,515137,159974,91391,-1,765403,972844,-1,526265,-1,899667,576227,845361,-1,17929,-1,634349,-1,-1,-1,767207,-1,-1,-1,-1,113730,-1,260028,572492,448107,936698,579788,981301,216035,-1,391147,950615,-1,93415,771515,930635,733918,-1,-1,593364,381439,941178,268244,-1,51173,311184,252766,935687,508392,-1,294836,471752,-1,-1,573537,-1,605330,-1,-1,-1,239955,952001,137680,715227,-1,164406,-1,140811,-1,176697,-1,645857,-1,318696,709831,-1,-1,408703,-1,918796,62286,28636,-1,-1,-1,-1,-1,-1,-1,858451,428684,872512,-1,-1,696608,-1,-1,-1,592242,466111,-1,-1,749494,-1,328151,-1,-1,-1,685315,658302,-1,750794,-1,-1,-1,-1,356455,-1,449348,-1,-1,740354,-1,224625,867405,-1,-1,-1,-1,-1,968134,-1,112581,49245,551500,995867,-1,-1,173861,667651,-1,-1,708296,989426,190054,-1,-1,756384,1431,-1,-1,-1,-1,371800,770286,-1,987760,463627,959591,458357,-1,-1,-1,-1,-1,-1,-1,-1,274253,342132,-1,-1,-1,283627,88277,-1,820853,760155,-1,-1,172514,-1,-1,805492,-1,113671,-1,-1,-1,-1,720744,-1,-1,-1,-1,-1,-1,-1,175350,-1,-1,-1,-1,193985,-1,-1,-1,-1,-1,484454,-1,-1,622826,-1,479456,244500,-1,-1,861163,116196,-1,-1,55805,139088,-1,20609,460761,577031,487049,-1,713387,777977,-1,-1,324252,-1,31082,-1,215081,-1,-1,-1,616165,-1,-1,711290,-1,-1,-1,-1,-1,-1,350890,730241,132005,752576,-1,686988,136160,425328,285565,539798,-1,-1,471633,585285,-1,-1,226140,31692,850054,-1,-1,-1,-1,772220,-1,-1,2929,-1,-1,356186,-1,553863,-1,-1,-1,-1,668973,455119,566566,540608,710838,-1,763624,502534,-1,884319,791395,-1,945932,527636,784086,675399,-1,-1,792336,-1,-1,-1,439263,-1,-1,-1,-1,637487,22290,-1,957599,-1,-1,-1,-1,317512,524407,37871,-1,-1,945549,-1,-1,-1,962977,364333,224593,285364,-1,-1,435452,624813,-1,-1,384270,-1,-1,-1,-1,-1,758295,-1,299078,-1,-1,57984,-1,-1,680230,973246,56595,220770,-1,-1,149915,-1,514799,949094,348372,-1,-1,533216,-1,734107,113797,-1,808582,362277,241603,388844,-1,-1,-1,-1,958126,650642,-1,913838,-1,246472,-1,234619,431303,408566,-1,-1,596490,-1,649630,-1,276456,22327,-1,-1,-1,776190,506650,-1,-1,-1,-1,495168,76040,440965,-1,-1,767313,-1,576154,1342,302736,-1,-1,-1,-1,252768,-1,-1,78945,403719,-1,615130,530017,102112,-1,-1,-1,-1,-1,126015,28599,-1,658383,647747,619565,-1,253910,207941,-1,529863,-1,162963,-1,-1,645023,876195,-1,-1,728520,-1,-1,447219,914876,-1,-1,765343,-1,-1,-1,-1,-1,661696,-1,910580,764011,765705,-1,-1,-1,323522,-1,-1,-1,-1,585476,-1,-1,855864,-1,-1,-1,-1,-1,78774,792561,495850,796905,-1,-1,-1,926763,-1,508815,245887,-1,-1,-1,-1,-1,-1,-1,564952,-1,-1,420917,-1,481102,-1,-1,-1,-1,542673,-1,763611,-1,959666,197555,731351,-1,377885,-1,-1,111226,-1,371132,-1,794289,-1,-1,-1,-1,277038,-1,346368,387068,327057,202408,-1,683257,-1,-1,-1,-1,379735,761119,-1,69160,-1,16048,-1,221101,-1,-1,288629,-1,489461,-1,849858,318294,486924,-1,-1,52451,-1,-1,-1,-1,-1,163348,410599,-1,-1,751116,-1,-1,-1,-1,-1,387386,329075,923622,-1,938378,-1,-1,369162,624499,-1,850316,32142,551708,11169,246342,64063,651725,-1,67299,-1,851618,-1,37954,-1,-1,948319,54025,-1,-1,-1,806836,-1,-1,-1,418133,-1,-1,12453,918188,807985,595138,-1,-1,654108,-1,-1,697415,-1,-1,-1,293146,294970,-1,-1,411862,-1,483227,985266,852338,-1,-1,159259,154629,-1,-1,-1,471137,-1,672340,-1,297565,90738,-1,-1,272263,900176,69481,515284,705993,350889,316965,-1,-1,976722,615287,574154,-1,-1,-1,507042,-1,100775,582648,281734,-1,-1,79046,927551,-1,-1,873237,-1,604109,-1,414989,892530,918220,-1,808175,955651,-1,494016,-1,82208,-1,-1,-1,508258,-1,-1,-1,-1,-1,257543,603233,243315,-1,486158,-1,-1,-1,459274,733577,587328,-1,-1,672007,244547,281506,-1,-1,344232,-1,-1,-1,-1,876188,405084,217547,538288,568249,962942,-1,459199,397135,388988,-1,762135,616104,506684,981544,-1,-1,-1,-1,-1,760557,207316,33047,18523,-1,398152,305972,-1,-1,542159,-1,42921,787322,-1,316097,366319,-1,966602,918363,-1,-1,-1,361547,260416,677754,-1,279529,81671,-1,-1,-1,984779,-1,441582,-1,48137,-1,-1,-1,944059,-1,565686,-1,-1,-1,-1,-1,-1,901527,38253,-1,591152,953124,380513,458098,972344,563505,-1,748874,-1,846179,-1,-1,-1,-1,-1,524420,522198,-1,358308,-1,-1,-1,-1,-1,19766,-1,-1,-1,169823,529027,-1,945756,226287,-1,-1,-1,618796,-1,245269,734202,-1,-1,-1,826207,-1,-1,-1,2795,-1,685344,-1,-1,-1,526845,812551,624860,-1,-1,-1,976101,852804,468901,-1,-1,926611,985217,648690,-1,-1,-1,609496,-1,-1,-1,-1,164445,-1,-1,-1,-1,962783,648970,624978,536849,708574,-1,-1,-1,-1,-1,-1,-1,-1,563121,340634,-1,-1,-1,-1,-1,963587,-1,-1,-1,-1,233034,-1,21941,-1,-1,-1,639947,-1,339372,-1,-1,-1,-1,-1,186079,-1,907698,-1,389428,69146,360579,743954,-1,54747,-1,632321,804408,39438,963956,-1,-1,194514,-1,-1,510364,336130,277073,-1,-1,347766,-1,54361,-1,917411,560554,-1,546891,353169,125299,-1,654074,-1,552905,411359,-1,-1,-1,-1,586151,199425,-1,-1,48229,-1,330358,-1,-1,-1,-1,-1,-1,341883,-1,-1,-1,382013,-1,-1,-1,110847,-1,-1,273180,231354,917974,466433,876728,225345,-1,213530,864925,-1,185135,-1,-1,-1,198288,-1,347128,607334,-1,-1,741256,264639,-1,756308,421538,-1,-1,786271,27154,-1,-1,-1,-1,-1,-1,-1,-1,49439,-1,745815,984340,-1,-1,580077,-1,-1,288760,27088,428468,764122,253934,-1,-1,982771,-1,57183,978192,358343,888091,-1,-1,-1,-1,-1,297447,-1,355383,-1,782529,-1,844619,565381,-1,856279,752252,-1,981694,-1,-1,279405,404452,526707,-1,-1,-1,-1,-1,-1,987953,-1,552473,-1,-1,-1,-1,305326,-1,-1,-1,-1,72184,-1,-1,-1,255970,879638,-1,-1,91782,28663,-1,36884,459928,-1,112680,-1,365812,-1,-1,184597,954452,-1,-1,244672,582611,141042,-1,-1,-1,-1,164450,-1,364782,-1,-1,-1,-1,910904,806692,-1,460781,-1,-1,-1,-1,534163,-1,990425,-1,-1,-1,-1,940634,396345,-1,-1,-1,-1,-1,989232,961118,-1,-1,-1,-1,671742,-1,450703,290310,-1,222813,694678,415593,-1,501688,-1,-1,713027,-1,371126,561705,963475,871529,973551,-1,536174,452852,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,696921,862864,483097,775055,-1,-1,-1,-1,758752,208587,-1,-1,-1,83899,-1,-1,-1,-1,-1,-1,768000,572070,460962,-1,-1,614507,500692,360842,229328,525246,49388,-1,605292,-1,-1,740483,896564,-1,868492,-1,149676,-1,590607,-1,735398,-1,-1,-1,-1,-1,429072,-1,246271,-1,-1,-1,-1,901408,-1,-1,103231,-1,-1,-1,473417,-1,630530,927716,-1,996860,722433,920691,-1,-1,159683,298769,-1,-1,877855,-1,720868,587252,-1,-1,913491,605253,-1,303065,-1,-1,-1,580342,-1,302443,-1,-1,-1,-1,-1,-1,678767,563533,552727,887124,-1,-1,860973,308357,434918,860372,737192,993779,665970,607646,900876,-1,-1,330276,-1,703408,-1,-1,-1,-1,-1,-1,-1,-1,881448,118522,-1,-1,-1,-1,33984,95148,199144,687806,-1,-1,83376,-1,805737,-1,-1,-1,-1,-1,-1,-1,680933,797570,-1,1348,-1,560270,981128,988154,-1,-1,-1,-1,889014,-1,105510,-1,822671,-1,21221,-1,598112,195738,415335,951536,-1,-1,-1,388212,-1,-1,883869,-1,655800,-1,532133,-1,697199,901041,622593,-1,26885,-1,713574,-1,922264,-1,-1,18518,-1,406861,492287,-1,-1,-1,933830,-1,892131,-1,347074,-1,803658,272743,983764,12258,558395,879933,-1,-1,854496,647850,3229,8099,-1,-1,-1,-1,582393,639850,757531,742683,635191,27392,172120,933245,650188,829803,-1,-1,428830,897155,-1,-1,911831,18503,-1,-1,-1,599096,-1,917497,774788,288330,463817,299715,473057,-1,-1,-1,-1,820464,163998,322347,-1,-1,55162,-1,414731,-1,896126,-1,-1,472076,-1,-1,-1,239305,-1,689598,651962,-1,967944,-1,344000,571176,237353,902980,-1,-1,661558,410614,211436,997885,769732,421121,-1,-1,708194,-1,-1,919626,835133,894524,-1,-1,544876,378861,164556,-1,-1,337267,-1,163899,-1,-1,644318,-1,-1,60503,-1,125085,181298,959646,-1,449594,-1,391759,989458,661153,-1,579863,-1,-1,981576,-1,-1,571149,106687,-1,919724,52703,906372,640736,-1,-1,-1,838125,-1,-1,-1,-1,350343,129348,819484,613878,51718,354818,-1,685154,-1,713825,-1,162594,125876,126844,784510,484451,755411,452442,330818,720473,-1,42936,309229,-1,381065,605969,489929,165609,-1,201103,849232,-1,-1,849527,-1,-1,294292,330121,325506,634609,-1,-1,697976,-1,-1,-1,-1,217819,217233,-1,-1,599178,410176,844141,519500,-1,-1,-1,543672,935556,-1,516899,197942,473382,890041,768744,653150,-1,268623,877355,898096,699400,105143,-1,-1,998293,286076,-1,-1,579971,-1,-1,-1,-1,848670,433143,972366,244365,-1,-1,-1,490124,-1,-1,800449,-1,-1,-1,522889,-1,-1,-1,249656,-1,444254,-1,-1,769229,-1,-1,-1,-1,591876,750632,-1,566005,-1,110243,187228,952953,745536,-1,-1,-1,-1,-1,492678,371057,-1,-1,-1,-1,283397,-1,-1,247157,334342,580116,978784,39553,332042,-1,-1,-1,-1,217972,-1,-1,-1,235497,677090,941945,-1,-1,295969,501993,-1,-1,505204,661143,664375,-1,-1,761631,646521,-1,384108,622689,313024,460423,-1,694618,-1,568407,-1,855134,-1,-1,-1,-1,-1,863632,-1,73925,-1,-1,-1,416239,-1,-1,373735,553750,33845,-1,-1,551010,409759,-1,105873,-1,-1,-1,-1,271264,-1,-1,-1,124660,-1,652503,-1,-1,-1,-1,639625,431890,637197,-1,215941,947265,-1,889026,652790,-1,-1,-1,704393,-1,274736,-1,959414,-1,-1,921182,-1,857585,-1,-1,607849,570675,702770,-1,604233,-1,-1,-1,462901,559509,356488,669744,115609,-1,922123,615207,-1,41665,32168,803055,-1,270857,-1,-1,869486,-1,663970,-1,225833,-1,916071,192681,-1,-1,32760,763390,-1,948774,-1,581263,-1,-1,512062,-1,-1,-1,-1,-1,34293,-1,179525,-1,982173,380888,-1,-1,-1,49845,-1,-1,-1,-1,818699,-1,215369,879879,379461,-1,550457,450260,312382,-1,-1,869863,862676,912535,508584,415420,-1,-1,-1,36243,654615,-1,256917,-1,-1,624400,-1,-1,-1,-1,176894,-1,997526,-1,-1,679682,198504,-1,-1,-1,646115,536549,225411,-1,-1,462998,756309,-1,-1,-1,-1,147221,-1,-1,515302,953555,-1,937359,-1,136452,-1,-1,394789,966304,-1,-1,473490,-1,225484,-1,-1,513590,-1,-1,-1,806477,684714,-1,54173,112590,-1,6867,-1,-1,630171,568044,522288,825016,-1,909324,-1,-1,-1,-1,951542,84031,494247,430412,610611,-1,634200,430418,-1,947330,-1,402673,401233,-1,-1,585981,232093,-1,4341,-1,874561,898412,327018,934152,-1,-1,177937,661515,-1,476101,-1,-1,-1,397570,-1,981431,-1,554022,-1,639236,705196,795522,-1,216855,-1,488059,318623,-1,339492,-1,325693,250774,473762,230479,-1,-1,190371,-1,-1,-1,-1,26942,-1,396622,-1,121798,-1,81377,-1,577032,457703,-1,-1,-1,540280,739381,692411,946905,-1,-1,-1,966727,766933,-1,-1,-1,115844,-1,775356,-1,-1,-1,-1,190116,852025,-1,-1,-1,496072,-1,529497,103357,-1,860219,-1,-1,595842,478402,-1,-1,-1,123387,-1,-1,-1,550865,642504,-1,837450,-1,83174,-1,984580,818275,-1,42927,-1,-1,-1,520295,-1,-1,-1,877604,-1,246182,277904,690520,-1,-1,62200,862881,656665,252518,-1,42228,-1,-1,-1,-1,-1,611236,737170,-1,231136,93956,372631,17741,-1,530677,-1,774899,-1,298503,68298,-1,-1,884187,-1,497821,660612,-1,-1,-1,470005,-1,-1,54069,-1,-1,847694,-1,-1,242586,-1,-1,-1,502893,-1,-1,-1,48583,-1,-1,154181,31597,453168,404272,190808,640517,15518,-1,784458,147372,-1,68893,-1,-1,-1,-1,388384,-1,-1,-1,-1,-1,39154,-1,563123,-1,483256,-1,-1,-1,-1,-1,-1,-1,-1,-1,976819,730472,145731,59442,-1,-1,-1,-1,986102,526216,-1,474924,-1,-1,96485,-1,734728,-1,-1,832312,518098,-1,52184,335820,-1,947432,738864,-1,-1,-1,33633,-1,835433,837902,469121,399098,746680,-1,212552,-1,-1,-1,-1,-1,-1,-1,92243,696602,276798,412426,310858,-1,726341,-1,58290,-1,-1,297132,-1,-1,523929,-1,-1,57485,-1,-1,931342,635500,-1,-1,-1,-1,-1,-1,-1,911823,-1,202396,-1,669023,523541,43536,-1,71341,273571,-1,984526,342878,-1,222450,572072,-1,319921,866170,286339,-1,16327,-1,-1,599165,-1,-1,365352,695308,559796,353241,644719,-1,393268,72364,-1,-1,18219,331122,393851,-1,496750,3531,-1,-1,-1,-1,589723,-1,899201,667976,-1,-1,-1,-1,-1,382670,-1,72332,-1,-1,995360,-1,-1,886203,-1,-1,791644,-1,-1,-1,-1,-1,565568,-1,722524,887133,-1,288631,-1,-1,868456,360067,-1,-1,-1,992482,405936,-1,-1,110806,801735,-1,437883,-1,-1,-1,-1,204334,235097,-1,-1,-1,-1,-1,946541,711639,-1,-1,246301,-1,670089,-1,-1,-1,-1,-1,-1,89842,-1,740288,-1,881894,18864,-1,693888,-1,-1,-1,282249,614758,426094,-1,217014,-1,-1,-1,-1,-1,14111,-1,-1,-1,427237,-1,330772,728074,261464,838488,-1,-1,591690,860995,836766,-1,-1,215977,369561,-1,-1,-1,730826,-1,-1,837985,422386,667568,5360,-1,-1,-1,-1,193586,959630,468853,204270,-1,353077,892154,739351,-1,877425,807571,453704,788172,534081,957013,-1,-1,899628,-1,234207,872813,-1,-1,-1,732941,-1,187506,-1,408490,511046,-1,854154,-1,-1,-1,589869,-1,-1,-1,-1,-1,783133,815060,-1,-1,124319,785617,893830,824087,-1,828472,-1,-1,-1,-1,-1,-1,-1,-1,967089,510597,502168,914022,289195,-1,-1,-1,-1,619787,141915,-1,-1,162689,514124,901187,-1,183085,-1,606230,702427,476520,5010,-1,-1,-1,-1,910046,606361,-1,105078,752634,-1,468729,950999,-1,-1,-1,556804,259389,-1,521680,-1,-1,998671,817331,869073,348032,-1,-1,215133,750510,-1,443236,-1,134002,880590,388045,752247,-1,802937,623746,888355,798808,-1,-1,543359,-1,-1,613695,755355,912594,326976,-1,787752,356862,-1,588554,-1,-1,-1,-1,832545,482994,-1,-1,-1,946345,-1,-1,241934,886738,-1,17063,711882,195269,-1,696604,334266,203233,-1,597836,-1,-1,-1,-1,513390,212584,538267,842832,-1,-1,-1,180925,-1,-1,-1,983631,-1,92867,-1,74017,602027,-1,210945,-1,337950,-1,656158,-1,548586,-1,648792,465670,-1,-1,521872,-1,-1,588285,-1,-1,-1,-1,54770,-1,924751,-1,880192,-1,-1,-1,797650,-1,-1,-1,443561,-1,732939,739831,269434,-1,312525,41934,921964,-1,-1,-1,-1,345056,-1,-1,639167,623839,-1,-1,93560,-1,141320,424480,-1,-1,697365,692014,969788,-1,8873,388233,491312,117092,966591,-1,-1,-1,404680,634238,-1,-1,-1,454673,-1,330897,542076,-1,196780,606055,589622,987658,-1,-1,994785,803468,86041,869939,659098,-1,828714,-1,-1,-1,-1,-1,-1,-1,907455,729145,686251,804738,-1,257374,-1,325722,-1,909350,859372,-1,302191,831886,194044,-1,-1,-1,14728,-1,73039,-1,-1,283741,544466,-1,-1,344506,-1,146919,-1,577711,-1,-1,641637,440743,-1,754819,978112,-1,-1,940139,-1,283428,-1,-1,-1,712145,538862,-1,-1,-1,-1,679664,605136,850719,-1,432460,-1,-1,548594,-1,79631,-1,879612,-1,-1,-1,-1,-1,902368,629412,-1,660649,-1,789833,609086,-1,-1,571352,198600,-1,539465,-1,-1,-1,876951,817525,406088,847803,100240,-1,-1,34522,105383,-1,831979,515744,639684,-1,994778,150608,-1,-1,371230,-1,-1,-1,-1,-1,697950,876815,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,605243,858171,815674,531049,501303,311741,271638,138342,203374,-1,-1,-1,-1,738302,-1,935344,-1,325780,-1,-1,-1,-1,807550,984554,-1,-1,613298,146620,20547,-1,-1,665014,793857,-1,-1,-1,-1,690386,504398,249299,-1,-1,-1,-1,602908,271495,276671,643231,860471,513162,232651,-1,853315,-1,895241,928643,686222,-1,-1,-1,-1,-1,-1,740560,219469,-1,-1,33232,486414,7511,554678,-1,419496,-1,-1,-1,-1,380637,431872,-1,760474,-1,-1,86719,-1,645135,-1,489702,137551,-1,-1,-1,-1,54996,318538,431226,385557,-1,311203,18898,965088,-1,534970,-1,-1,-1,-1,113383,-1,-1,-1,599479,998711,599800,144464,-1,208172,-1,-1,-1,-1,339327,771904,512676,-1,209710,-1,769211,398585,-1,504771,893089,-1,523907,-1,-1,957055,-1,-1,-1,280995,550869,494510,-1,-1,-1,868631,-1,-1,793198,-1,-1,-1,-1,-1,639879,947805,250483,-1,915693,-1,-1,-1,-1,-1,-1,231313,182640,902665,99436,133841,-1,-1,-1,297971,-1,-1,406509,-1,-1,-1,649849,481412,-1,-1,-1,-1,882902,492775,669867,-1,-1,992349,790794,-1,-1,110864,475780,-1,-1,999105,-1,57826,419179,-1,222516,133241,810054,-1,724800,-1,583180,843021,798503,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,64896,-1,748258,-1,681875,60936,-1,-1,-1,-1,-1,711693,150577,-1,146296,-1,-1,-1,488734,976723,604452,213996,-1,126806,-1,845592,905671,825075,-1,183366,-1,118884,-1,265780,550247,-1,-1,369978,643871,-1,-1,649336,262270,945645,-1,71716,-1,-1,-1,-1,-1,665162,236998,-1,-1,957873,-1,458327,126601,94411,841348,-1,-1,-1,638220,-1,70775,218864,-1,536863,-1,433953,-1,512067,-1,658786,-1,-1,-1,-1,305933,-1,-1,-1,300811,-1,487674,-1,876339,440664,-1,-1,-1,913874,665055,-1,654735,-1,-1,504521,-1,-1,-1,-1,261573,-1,640449,-1,104201,-1,-1,454093,-1,-1,630933,16726,-1,932897,-1,820208,-1,16626,820259,-1,-1,26786,668144,927706,-1,346016,279786,701316,337414,280787,-1,-1,-1,-1,403695,-1,106999,647236,763446,746859,218001,268922,-1,-1,29047,-1,-1,427234,-1,-1,-1,429276,-1,-1,358767,438208,-1,-1,-1,-1,-1,-1,451406,153111,273921,-1,-1,-1,802763,-1,-1,622777,914077,-1,131366,-1,784025,438625,-1,-1,831273,-1,-1,136366,-1,487791,-1,607471,-1,-1,-1,331024,-1,-1,897605,610451,364068,829960,-1,603333,997945,-1,-1,499715,621357,75752,-1,375525,-1,-1,-1,-1,166374,825073,-1,272181,897504,-1,32601,668523,632830,-1,382439,339101,425717,396500,-1,-1,-1,28289,714601,455696,551548,859243,-1,-1,-1,-1,729635,391401,803629,971710,-1,-1,-1,-1,-1,6108,-1,38157,-1,-1,-1,-1,585663,-1,567487,248364,425087,40567,-1,-1,-1,400416,-1,-1,-1,-1,456486,177082,-1,250610,-1,952767,924872,724505,-1,503701,83502,-1,-1,-1,459962,-1,-1,36138,-1,-1,-1,333083,-1,258763,-1,590122,-1,-1,-1,-1,-1,-1,-1,790583,-1,258260,302932,491730,-1,-1,970804,19808,882980,-1,-1,-1,965158,-1,-1,-1,-1,-1,370931,533467,-1,-1,-1,-1,498098,-1,-1,-1,80182,669257,-1,166974,-1,394045,-1,371862,750326,530191,-1,584550,-1,-1,371940,-1,538764,-1,-1,-1,383225,578402,621174,432272,705174,567537,495787,357468,324042,702223,476334,-1,-1,827199,-1,-1,712840,919904,-1,-1,-1,289201,-1,834331,350354,-1,-1,-1,-1,523397,-1,-1,-1,282126,-1,-1,-1,-1,-1,984280,-1,928325,442095,6974,-1,-1,166936,513995,840103,-1,-1,-1,593990,905052,-1,-1,-1,318810,477030,326879,668169,608409,230271,-1,776152,-1,-1,-1,662087,572810,-1,-1,408680,333552,-1,-1,-1,-1,399347,319642,257165,746076,-1,848130,211789,-1,464782,-1,351931,-1,903194,-1,-1,94935,647441,-1,805352,-1,340814,-1,-1,-1,-1,-1,648148,973447,-1,-1,557003,-1,787229,-1,-1,69223,-1,862776,279240,-1,-1,-1,894674,-1,562203,-1,320867,-1,438014,372807,-1,333116,-1,859308,-1,-1,292850,43726,-1,-1,-1,-1,975025,-1,516707,833073,223861,627077,-1,-1,700246,-1,-1,-1,-1,374429,-1,-1,-1,-1,754204,162206,137133,-1,945442,-1,433653,-1,639654,284380,829172,723328,-1,-1,-1,-1,-1,-1,-1,75636,671013,-1,-1,582090,950736,853055,-1,-1,-1,23808,-1,-1,555021,148300,279729,151738,574751,-1,-1,832055,-1,260518,596862,38547,919069,-1,-1,363846,885178,854510,767267,248644,-1,203518,189606,558035,18618,179242,-1,-1,537905,-1,969229,-1,-1,-1,-1,-1,-1,619863,362847,-1,-1,153996,606274,-1,962948,-1,-1,-1,847649,321154,43279,940318,-1,134196,904801,795971,813967,669820,757492,935055,-1,-1,960873,-1,491733,160363,-1,-1,-1,533119,868807,-1,-1,-1,756061,-1,203866,288605,711746,-1,902923,-1,-1,130699,-1,27217,-1,-1,-1,-1,439674,9931,-1,668944,-1,-1,-1,476131,513374,686662,-1,-1,-1,-1,-1,809583,10344,149985,-1,-1,701097,-1,-1,-1,-1,-1,410373,-1,752957,531683,-1,391434,-1,329833,252927,423212,-1,828600,-1,-1,512098,-1,403416,-1,129442,-1,-1,-1,-1,-1,-1,964052,767463,-1,689266,892322,375902,-1,939334,-1,-1,-1,440192,611880,-1,-1,591044,-1,464885,-1,-1,-1,958012,-1,-1,-1,269616,77267,253664,-1,895481,-1,278339,791902,690590,-1,589406,408561,-1,-1,388905,213563,878322,276811,-1,-1,-1,-1,-1,-1,89933,632907,-1,-1,-1,-1,-1,964173,-1,982642,-1,421365,-1,651838,-1,282380,872682,-1,203996,-1,-1,463641,662642,-1,288746,-1,-1,-1,-1,70964,268667,-1,-1,843517,-1,-1,722738,-1,-1,129384,972944,583728,-1,-1,-1,-1,995133,-1,234768,581533,-1,448897,625325,-1,-1,401210,-1,175586,-1,320214,-1,569837,-1,124090,-1,780857,938511,18151,558522,-1,915097,-1,188143,-1,-1,-1,-1,254580,773255,-1,268039,-1,39917,657252,766323,178521,730411,565705,811971,-1,761299,329095,17778,74168,461720,-1,-1,-1,-1,-1,320543,364977,-1,186575,-1,91806,815054,979604,176572,-1,-1,-1,190064,506233,-1,376281,-1,735233,-1,851621,300537,234132,176085,974691,-1,995933,-1,398576,-1,-1,-1,177397,-1,136012,420354,159145,110189,979297,-1,173700,-1,-1,-1,238729,503196,-1,-1,-1,-1,172114,-1,-1,-1,986483,462472,544525,-1,940420,-1,-1,211298,584446,713406,-1,811423,-1,844620,-1,752049,-1,777733,975671,318797,-1,349802,-1,-1,-1,40927,718507,-1,330850,-1,-1,-1,617016,-1,-1,863369,-1,-1,-1,321806,-1,-1,-1,287598,797301,457496,151910,-1,804361,-1,-1,566153,528844,100207,293157,465040,282857,505031,976324,38737,550737,886517,-1,860874,77456,523767,-1,-1,-1,18357,-1,-1,311453,-1,-1,358649,-1,541705,856259,-1,-1,881447,637549,-1,243157,-1,526926,783793,812203,354800,-1,332673,-1,-1,-1,37371,988927,-1,401029,436242,831963,996530,-1,945319,-1,32739,652909,-1,-1,799692,568618,-1,37144,956645,46455,-1,729448,515001,-1,-1,-1,219638,922457,254035,699020,801682,593288,-1,-1,-1,-1,838001,803892,271673,-1,279806,-1,80402,-1,-1,952948,-1,63587,573714,584939,-1,466832,181837,-1,536544,85382,424382,479065,632389,-1,701413,75300,-1,232772,392665,37578,556734,-1,244788,930345,888668,-1,-1,651496,912815,-1,-1,229012,-1,15245,594351,513901,-1,-1,-1,912399,242616,-1,-1,579876,-1,885028,-1,290094,-1,-1,926629,-1,476532,-1,-1,899823,-1,78292,159274,271692,989409,-1,-1,474331,511341,-1,210849,-1,202454,-1,401055,794999,672738,215148,-1,-1,764800,-1,175452,597866,-1,955833,-1,486181,-1,-1,-1,-1,-1,-1,910612,687655,-1,792160,-1,-1,-1,817926,-1,783483,-1,-1,466564,-1,-1,-1,802447,-1,-1,-1,-1,-1,-1,443653,236205,-1,-1,607473,-1,962906,-1,-1,873492,-1,-1,649338,868302,905390,344386,228196,477903,-1,-1,-1,188632,225093,-1,-1,-1,883522,27170,-1,407383,907062,278352,422513,68719,-1,901990,758759,873867,121069,-1,466465,-1,195847,-1,-1,-1,-1,-1,-1,867505,726031,824157,750790,997858,-1,-1,-1,191818,-1,932151,940020,608708,389955,945043,-1,460617,-1,-1,475946,-1,364810,-1,871068,688813,-1,57579,-1,-1,-1,429036,-1,-1,-1,573453,-1,-1,-1,-1,-1,-1,-1,816056,496892,244783,-1,-1,-1,767240,-1,976504,375514,-1,318424,-1,702965,823853,469661,824614,433123,-1,292638,-1,632263,-1,736074,969149,-1,-1,-1,125824,-1,357341,-1,947400,349310,-1,-1,-1,772675,-1,785329,45832,423101,-1,178524,-1,-1,444903,885724,387466,832005,628048,-1,-1,-1,-1,294707,-1,630412,224817,749992,-1,251981,-1,-1,669659,-1,-1,-1,-1,-1,-1,493015,-1,595976,458659,882301,762049,-1,-1,878694,-1,750483,-1,461792,980985,324416,990101,408416,-1,124201,-1,-1,684236,437285,754074,-1,733659,-1,157126,214972,988683,326085,566406,919638,-1,104266,7647,116067,-1,-1,571591,-1,-1,-1,-1,-1,-1,-1,236527,945238,915197,-1,556601,-1,-1,-1,666008,896563,-1,-1,-1,964603,-1,-1,774521,-1,75615,-1,-1,199283,-1,38736,43843,-1,629130,-1,464603,-1,16357,-1,691587,-1,-1,-1,722500,72114,548286,-1,339968,-1,-1,31329,-1,827513,631216,-1,766700,-1,943861,-1,491692,-1,-1,499352,-1,268891,-1,677129,-1,687440,-1,-1,-1,-1,414169,-1,-1,-1,-1,-1,615557,127587,922461,-1,916260,-1,-1,-1,-1,428325,-1,284368,548442,-1,808638,-1,-1,-1,44847,369959,547979,-1,-1,-1,-1,626034,231894,-1,88159,844820,-1,727759,492657,-1,386194,-1,-1,-1,158487,202834,-1,-1,-1,-1,-1,-1,231955,997164,-1,466967,783264,576022,357639,100807,-1,291809,818417,-1,-1,352772,325177,-1,-1,97056,413079,547359,-1,-1,-1,160296,-1,-1,831216,-1,925618,-1,141963,-1,-1,138316,595601,-1,-1,-1,-1,180612,-1,-1,642429,191708,887742,-1,-1,57640,-1,528613,-1,-1,-1,251763,192888,-1,559852,-1,983975,-1,940496,-1,-1,752973,-1,-1,-1,318771,-1,-1,589351,71020,-1,846800,511174,-1,213127,244241,-1,620265,-1,167063,919701,250378,945097,-1,821467,-1,476506,-1,-1,760417,856268,954510,-1,409896,401836,-1,-1,-1,631060,-1,712301,489776,917199,-1,632694,634060,-1,487112,126544,490589,83975,-1,-1,-1,178559,-1,-1,269833,-1,-1,281389,304845,659320,-1,720511,-1,337921,-1,-1,723361,-1,-1,650821,-1,-1,-1,-1,22912,315115,575895,-1,-1,-1,473735,465825,-1,-1,838407,-1,568130,952535,691500,317832,-1,-1,-1,817414,919566,978673,348247,-1,683874,246407,-1,717021,-1,-1,801857,65239,-1,221213,-1,-1,377246,224039,-1,223152,-1,-1,-1,426359,-1,-1,88640,103398,-1,-1,-1,887120,858867,-1,433929,-1,-1,591438,24296,-1,595009,-1,-1,-1,-1,-1,388278,879582,431202,-1,-1,475390,769639,846865,305856,-1,-1,-1,-1,-1,-1,534772,-1,102512,597480,-1,-1,95408,-1,-1,378952,-1,-1,264206,-1,739811,-1,299287,848580,267506,-1,852327,-1,33549,460819,173035,568973,-1,-1,647343,-1,47316,908220,-1,-1,402050,-1,-1,576156,-1,224358,-1,366046,313429,729628,-1,505315,-1,367297,847653,723609,637326,138740,-1,354968,-1,324934,766471,788383,988371,692066,-1,867493,940123,-1,272760,-1,-1,980945,-1,643253,904649,35754,-1,957423,-1,-1,-1,-1,383456,701181,-1,-1,-1,129473,-1,-1,-1,-1,282222,-1,161774,-1,-1,-1,-1,896912,660828,947898,636377,675618,479148,-1,109842,-1,309388,-1,-1,-1,865075,-1,-1,-1,-1,-1,617383,909333,-1,682611,-1,-1,-1,777929,-1,-1,-1,-1,405272,-1,265465,-1,-1,-1,127306,866274,-1,-1,212917,-1,61767,934972,-1,904221,218126,373269,586703,-1,-1,-1,466597,-1,-1,-1,-1,-1,800732,877017,72319,921820,-1,-1,-1,615379,-1,786198,947266,-1,230212,326279,236011,-1,932320,-1,-1,-1,-1,-1,-1,421079,-1,152323,-1,-1,-1,-1,92349,-1,-1,909361,679753,-1,28112,-1,-1,109538,-1,-1,-1,-1,-1,548866,746143,360009,164297,703828,-1,917420,13142,-1,489116,349191,-1,-1,-1,307084,842026,-1,646659,867431,109738,-1,-1,-1,948249,363440,-1,422557,-1,-1,512695,-1,220186,39258,711117,729227,816357,322428,912065,-1,-1,-1,-1,161947,50601,-1,879442,-1,180851,-1,-1,848375,-1,-1,679435,-1,901013,-1,-1,-1,-1,-1,-1,203425,-1,-1,236649,360501,-1,608709,-1,-1,927971,89792,397880,-1,-1,430111,-1,757589,607109,772458,-1,-1,-1,-1,138194,-1,-1,-1,563542,-1,-1,-1,-1,-1,893721,-1,-1,-1,732224,7626,-1,-1,-1,-1,-1,-1,647530,504440,373091,-1,-1,-1,-1,777528,449277,-1,520310,194144,921114,-1,-1,449774,-1,32712,332894,21416,-1,345799,-1,-1,-1,170984,-1,-1,-1,18552,-1,277529,-1,664137,913314,-1,-1,-1,-1,674004,-1,-1,-1,457199,-1,423493,374447,-1,-1,908641,382679,764881,-1,698445,533724,836368,-1,-1,483373,-1,41935,-1,57229,-1,575482,212602,-1,-1,-1,-1,748815,761174,-1,-1,900652,-1,-1,-1,-1,737262,-1,577595,241910,-1,713480,-1,-1,-1,934375,231467,-1,980996,804347,42799,161395,-1,-1,-1,536231,-1,570567,928074,-1,975255,621198,565867,-1,757182,-1,-1,-1,-1,-1,-1,-1,-1,445641,-1,196922,150402,163311,302097,-1,569473,272813,823457,601232,-1,784178,318707,75345,447934,274966,304174,428859,719313,344178,122485,830741,34780,-1,-1,610949,-1,-1,-1,115346,175477,-1,390335,-1,-1,152183,5435,153193,-1,299280,193691,-1,23654,475235,-1,-1,-1,884499,669066,-1,-1,-1,445981,-1,-1,449076,-1,273075,804247,293119,-1,-1,-1,995793,154149,183295,-1,-1,-1,425028,-1,264341,638386,211845,421105,537227,424842,970126,228060,63785,999763,-1,-1,-1,515662,388007,-1,-1,-1,834095,-1,-1,473519,94734,-1,-1,-1,391244,43969,-1,472997,884839,-1,797630,-1,-1,-1,621108,35116,790432,-1,311293,-1,-1,374273,-1,133865,-1,-1,-1,302676,721811,-1,-1,59375,-1,-1,-1,738421,588449,-1,433213,617269,503761,-1,233205,10677,478987,779893,-1,-1,791915,662758,-1,854830,-1,526013,620286,842747,609908,-1,513620,-1,542676,-1,-1,-1,-1,297296,-1,922426,-1,-1,585765,-1,-1,831175,-1,802111,-1,-1,20721,315682,876033,-1,584375,244317,872901,-1,744534,-1,752088,-1,-1,281641,-1,-1,929997,-1,-1,-1,987684,-1,-1,439285,-1,-1,229261,781754,-1,-1,76086,379711,470381,533905,385582,-1,-1,301477,-1,-1,-1,548258,614842,-1,-1,-1,600221,935400,369571,566146,-1,118493,434850,316421,-1,-1,-1,-1,-1,744712,567870,695105,998411,633833,-1,95736,-1,-1,-1,802845,-1,31626,-1,-1,337378,311382,-1,80387,-1,600076,536940,781791,516335,191252,-1,816041,447729,560818,599525,-1,561278,-1,-1,-1,-1,-1,650318,-1,308442,-1,-1,-1,-1,-1,824766,356743,-1,-1,879193,344236,118559,187950,563915,-1,-1,936968,-1,-1,685916,909523,580940,859495,118193,-1,590521,-1,-1,371733,242992,-1,956092,-1,-1,-1,313761,-1,310892,527667,917727,-1,-1,766974,-1,-1,-1,278236,-1,-1,-1,-1,894119,-1,-1,437971,152410,760625,-1,-1,-1,-1,95816,-1,-1,314813,120981,882730,-1,-1,416618,546514,310730,-1,-1,-1,985180,-1,-1,-1,223927,31337,470279,175762,911488,842043,-1,-1,-1,-1,-1,678189,706454,568075,-1,-1,-1,32522,-1,-1,357437,-1,109681,-1,777117,608115,630783,-1,805888,-1,-1,123806,-1,-1,696167,584532,-1,-1,-1,-1,-1,-1,679926,690939,376651,734148,365891,158596,973769,-1,-1,-1,-1,791931,864093,284426,-1,-1,-1,397242,-1,563530,-1,695297,-1,75594,335553,982770,175377,318859,99781,225164,781702,-1,575389,-1,94987,-1,-1,241282,168932,-1,876107,187357,-1,985795,757955,348998,837009,-1,-1,-1,-1,-1,787241,-1,719067,-1,-1,242497,-1,859590,-1,486280,-1,995130,-1,988856,-1,484345,-1,-1,-1,875409,-1,572858,-1,-1,42797,-1,-1,768113,505789,871368,424655,-1,-1,406345,-1,612393,421552,-1,882949,-1,-1,820604,-1,-1,65341,502423,952884,-1,-1,-1,-1,-1,-1,-1,-1,123031,620304,-1,920094,-1,146501,-1,805071,-1,152532,-1,996087,674973,281133,-1,-1,-1,-1,-1,861494,685309,-1,795602,-1,816392,929019,-1,-1,75843,-1,-1,990228,-1,-1,413403,674394,450381,400668,891547,174852,606661,-1,815623,510455,372997,950340,366438,-1,-1,-1,149633,204173,-1,890331,566355,-1,984538,-1,806790,-1,-1,-1,-1,297357,-1,335662,830091,-1,-1,-1,-1,-1,944741,609948,105393,157630,-1,953379,347815,377897,672371,813848,866962,-1,-1,299912,-1,-1,-1,938989,408085,149348,517083,870740,-1,281428,872028,-1,-1,-1,866644,-1,-1,-1,-1,648342,199052,351949,821076,798994,-1,-1,-1,270942,12086,475777,984478,242920,320581,12873,521521,-1,199040,-1,-1,-1,465982,824412,-1,-1,333446,-1,-1,226194,900420,335729,322315,65909,948984,-1,-1,-1,755999,-1,-1,437594,27658,-1,-1,-1,793599,-1,-1,-1,-1,881908,-1,108644,-1,360574,548550,-1,-1,-1,-1,458148,778682,-1,355036,-1,-1,-1,269999,-1,-1,658399,975105,812198,234388,-1,78978,433209,-1,-1,-1,-1,862181,-1,-1,-1,-1,-1,352866,-1,-1,380479,898567,-1,4601,-1,625905,529850,-1,172581,-1,990306,199359,407195,-1,-1,352071,271949,358968,-1,-1,-1,-1,-1,621675,-1,-1,-1,-1,-1,-1,959435,582095,-1,-1,920186,-1,-1,133939,863487,259690,515076,-1,952806,-1,490646,-1,-1,-1,344614,817037,491553,-1,-1,-1,303541,209171,776226,554413,-1,-1,239799,-1,-1,336142,-1,-1,-1,324125,182203,-1,85579,-1,-1,-1,491366,931092,688345,829539,-1,876105,-1,246642,353475,-1,-1,346611,-1,645284,-1,-1,434297,197853,-1,-1,-1,-1,893412,203275,-1,540419,-1,622714,159694,-1,-1,-1,-1,228881,-1,130636,-1,-1,-1,-1,-1,-1,-1,-1,-1,500102,-1,-1,133670,-1,-1,787100,-1,-1,269049,-1,-1,-1,-1,278357,-1,-1,-1,-1,636111,-1,117795,288010,-1,504691,280516,-1,588714,512906,541249,-1,-1,-1,817753,-1,-1,75888,129094,-1,-1,-1,-1,-1,1023,803107,976489,-1,-1,-1,-1,-1,378867,972764,-1,-1,-1,360805,618066,-1,285694,-1,-1,232674,494337,330577,-1,423460,651948,-1,-1,774375,-1,-1,564871,-1,-1,-1,91695,-1,102509,382129,41078,363043,-1,-1,600686,750245,33130,462731,278765,698685,486629,398191,-1,-1,2810,-1,-1,-1,-1,-1,-1,454682,-1,-1,174736,-1,642371,889655,-1,-1,-1,-1,-1,-1,-1,-1,498742,989170,8466,-1,-1,987533,151886,-1,562530,424230,421265,-1,-1,698067,120019,-1,246631,116371,279000,736972,638293,-1,-1,-1,-1,-1,-1,-1,854569,232327,220992,134457,-1,-1,39535,352221,-1,827781,937587,7218,-1,-1,-1,-1,-1,618267,391729,175240,728867,759663,-1,569799,-1,791126,-1,-1,309342,793816,310447,-1,-1,-1,-1,-1,673561,-1,-1,117617,56547,173702,60423,645226,-1,193260,850785,9000,942338,805315,-1,-1,765140,-1,34141,578545,811007,-1,-1,925173,-1,-1,989420,280834,-1,-1,144579,763289,411683,610076,710113,746928,278719,-1,958414,793556,-1,988571,766794,276533,-1,-1,769831,318716,155175,258202,703561,140143,780965,778789,342632,-1,697350,-1,-1,-1,147068,695364,-1,415409,708197,903228,413663,148540,878828,-1,-1,196831,503551,-1,-1,543689,-1,-1,-1,-1,977984,-1,621347,519462,-1,-1,-1,-1,-1,941295,-1,-1,-1,-1,861835,-1,383791,14011,-1,-1,15172,234291,727046,-1,37021,390741,-1,63414,-1,-1,-1,138237,-1,-1,-1,777514,239051,-1,344215,302284,306437,922621,-1,-1,322839,473607,-1,-1,-1,-1,-1,522909,-1,-1,-1,15259,-1,-1,-1,164662,371469,496470,-1,362228,-1,205360,840320,663214,-1,-1,-1,442436,378328,514200,-1,1412,-1,-1,439623,832729,430452,424227,371576,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,757483,172782,968837,735296,-1,176833,-1,731827,11324,-1,661050,768978,-1,-1,518973,452520,-1,-1,286093,535863,-1,390585,-1,-1,21993,-1,864391,106174,126685,437560,927336,569900,198604,813550,-1,-1,-1,-1,-1,746672,686057,561098,920239,-1,951327,372870,511465,419906,-1,372820,318385,699776,-1,418099,916764,-1,-1,-1,-1,-1,184588,-1,464266,935060,-1,-1,400972,-1,648652,-1,661817,-1,-1,619047,783738,892258,-1,-1,-1,-1,343690,160596,-1,-1,206284,889010,937602,-1,-1,892134,35550,372985,383646,939772,342685,-1,993375,367610,299887,553233,84129,544548,-1,-1,-1,23611,921725,365433,-1,-1,146681,-1,-1,-1,656117,638586,-1,567517,958277,427987,-1,976783,-1,106425,752965,343210,551628,-1,-1,-1,-1,-1,-1,370995,-1,-1,469135,270918,483589,-1,785565,-1,-1,-1,830137,441399,484470,550914,-1,315167,731121,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,280182,-1,-1,-1,-1,-1,651691,913302,-1,844225,238865,799694,-1,-1,-1,418820,-1,513855,33449,697659,-1,-1,-1,-1,-1,-1,552261,-1,964975,-1,49104,709030,1369,-1,-1,-1,727868,-1,-1,-1,123114,-1,-1,857705,-1,-1,-1,861177,-1,627063,327503,-1,-1,981659,262723,428316,561957,-1,-1,945871,315411,-1,420579,401640,101577,-1,832917,872844,-1,577025,-1,-1,899817,-1,962774,-1,-1,100880,753572,-1,-1,730795,865574,915779,807927,385659,-1,49132,-1,814827,-1,487438,579508,860700,-1,-1,576391,598139,-1,961972,171276,555890,-1,-1,196091,-1,78291,-1,-1,-1,-1,926078,-1,-1,-1,-1,624776,454527,291567,163623,24511,-1,-1,965915,-1,-1,-1,-1,-1,-1,127827,182471,844874,-1,850093,-1,-1,390384,-1,-1,-1,-1,116692,-1,670084,280347,-1,873155,315779,-1,-1,42669,226247,-1,275907,794071,178792,-1,-1,-1,-1,-1,305411,60905,-1,-1,-1,202419,883026,199218,895711,997639,-1,-1,-1,328038,758550,638465,-1,829676,281209,-1,-1,-1,-1,-1,-1,592384,-1,616985,-1,-1,-1,513051,503579,166050,-1,946806,-1,-1,-1,399450,418431,-1,850564,909083,-1,-1,-1,636690,524349,-1,-1,-1,402217,477675,-1,-1,358947,-1,-1,981756,218679,-1,154177,382834,276281,553596,-1,-1,-1,-1,776227,281579,-1,-1,303128,-1,-1,-1,885487,-1,847679,471940,-1,-1,-1,-1,-1,-1,520401,-1,-1,-1,783285,655786,-1,-1,276464,-1,-1,154432,948431,707249,946504,894193,319664,-1,975191,809423,109867,-1,874049,806001,-1,393517,257710,-1,285215,-1,-1,-1,-1,-1,521588,275984,-1,159104,471087,573664,12129,309422,-1,-1,487778,-1,272738,553491,964170,508814,306892,205436,-1,861661,-1,631441,-1,980503,-1,-1,-1,977202,-1,-1,898049,907111,275331,-1,-1,-1,316879,-1,-1,406350,-1,-1,384220,472933,-1,-1,174142,-1,-1,608720,-1,622042,35474,-1,879158,865321,947117,258329,643307,-1,-1,-1,511049,-1,-1,-1,-1,-1,504077,-1,292983,639938,491466,-1,-1,-1,511077,391826,-1,502499,-1,136016,607617,526989,-1,868943,-1,256354,778725,-1,12832,60795,-1,57628,-1,846522,-1,-1,50202,-1,-1,978132,521778,-1,-1,-1,475379,-1,-1,678739,-1,-1,-1,16612,267128,-1,-1,-1,-1,-1,654139,-1,164871,-1,704500,765458,840913,628583,-1,804893,-1,635605,-1,-1,-1,-1,639116,778238,197747,71918,-1,419078,337626,-1,643683,235922,438342,-1,24941,-1,-1,356432,216682,-1,-1,246541,41687,262706,770669,917787,-1,793581,-1,683388,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,110201,-1,999357,-1,-1,577229,-1,-1,590009,229013,685182,250515,-1,-1,-1,884443,-1,890107,-1,4277,520,-1,-1,-1,111607,805180,479980,452015,-1,357013,-1,-1,-1,-1,-1,-1,-1,416250,811967,-1,-1,-1,-1,-1,-1,385831,-1,-1,49275,555082,-1,-1,-1,-1,904856,-1,-1,-1,702230,-1,12171,-1,650520,-1,-1,-1,-1,-1,-1,417123,507071,-1,460970,-1,791889,-1,-1,-1,-1,-1,952690,141705,-1,383633,-1,365363,-1,-1,887760,817897,-1,-1,342363,17865,489663,419082,-1,-1,526812,-1,910200,994535,810853,-1,-1,-1,-1,-1,-1,584460,240329,802174,191926,557508,-1,-1,435021,146970,-1,-1,-1,-1,-1,222057,248236,132441,267799,-1,-1,-1,590220,-1,-1,-1,365214,928037,-1,-1,-1,569017,-1,819716,-1,383792,-1,623816,-1,-1,-1,-1,-1,335476,-1,-1,-1,568650,-1,727629,-1,285598,-1,955574,858128,93325,774081,608206,-1,84282,901025,622004,520898,982736,-1,-1,-1,-1,-1,625035,694992,-1,916396,-1,-1,806709,-1,186246,-1,-1,764766,680438,-1,739718,-1,-1,993364,448313,-1,193415,-1,-1,264487,-1,658930,720627,-1,-1,-1,-1,-1,68438,544064,-1,719018,-1,372229,941460,538515,577469,99398,421244,-1,-1,-1,-1,-1,239358,-1,318441,-1,664067,313412,339136,-1,955410,-1,767438,-1,394297,-1,838089,-1,-1,669490,562707,-1,706836,-1,-1,-1,14564,892104,161472,611251,-1,-1,-1,991783,651508,773691,-1,193995,-1,728259,757623,-1,-1,174942,960414,297146,939397,-1,463735,827742,377399,631838,736513,376249,414434,-1,-1,-1,870566,-1,-1,736533,406771,-1,289059,23933,-1,-1,489284,48620,-1,-1,-1,-1,-1,-1,-1,-1,728632,-1,440659,-1,-1,500128,-1,828576,807819,-1,-1,-1,-1,-1,800217,753142,-1,-1,276722,-1,-1,-1,-1,315476,-1,185737,-1,901957,-1,852617,-1,-1,-1,854747,-1,-1,799575,-1,425288,-1,-1,925509,757500,36047,-1,-1,-1,682653,-1,127137,302766,280966,971203,-1,429710,-1,-1,965579,-1,-1,-1,-1,19003,238823,921526,-1,-1,-1,-1,-1,-1,-1,781907,-1,362399,-1,-1,417907,277800,-1,463879,210086,-1,604021,-1,-1,-1,-1,196891,-1,-1,568113,857299,-1,640622,219900,-1,-1,-1,-1,133492,903973,249703,-1,748991,561279,-1,-1,-1,-1,-1,973836,138778,36942,-1,256969,-1,35902,-1,807944,498071,499177,-1,838907,-1,642200,208840,-1,-1,-1,870608,-1,-1,107948,141048,288015,-1,206994,-1,499043,-1,-1,-1,254144,-1,-1,-1,-1,-1,-1,428624,970026,-1,-1,-1,666360,-1,734183,928678,252258,614838,-1,640867,75573,-1,-1,-1,904659,400176,1038,973100,-1,67807,664537,440000,-1,302307,581645,-1,-1,352145,-1,35949,764056,941011,304136,434900,705282,-1,134254,724705,-1,738569,274922,-1,778727,983304,4987,925655,-1,-1,668174,-1,-1,932761,427444,270961,102523,595266,411878,-1,-1,-1,826558,-1,924759,-1,-1,382415,374407,608560,-1,-1,656590,-1,-1,-1,-1,649792,-1,760852,773039,-1,364511,-1,-1,399388,-1,796151,155315,-1,239094,-1,690745,-1,148661,764284,65656,-1,-1,713785,-1,-1,778104,-1,373910,-1,-1,-1,261827,926633,-1,-1,622707,380769,-1,293613,698578,398743,780443,10397,-1,-1,-1,-1,-1,751,264233,360081,-1,476323,63158,590350,218586,-1,411820,-1,853043,-1,-1,29087,-1,708199,-1,887544,672073,-1,338013,818452,-1,731897,-1,378648,122874,-1,727195,-1,510526,-1,659818,-1,630559,-1,-1,-1,346425,207079,528465,-1,-1,457499,-1,-1,71230,-1,-1,-1,912232,822776,-1,-1,-1,182281,-1,-1,288467,960152,522416,885690,863854,149422,407399,-1,-1,62762,-1,163697,-1,-1,-1,456435,-1,580254,141294,383266,278797,-1,-1,-1,-1,305876,849258,-1,181217,-1,6851,-1,722253,-1,-1,262682,-1,825786,771168,-1,-1,118183,-1,-1,-1,-1,-1,401627,401308,-1,-1,-1,948156,-1,-1,-1,-1,-1,41373,-1,777447,408690,524172,-1,898023,480994,243430,-1,-1,-1,-1,14765,890455,478405,632663,514686,941529,-1,554200,-1,-1,-1,-1,55648,834097,621883,583599,-1,831571,226291,58088,769910,959407,216523,-1,-1,515907,654550,45329,-1,-1,-1,-1,768760,-1,-1,-1,572388,178197,-1,-1,558106,24572,-1,542233,-1,-1,-1,-1,-1,502022,-1,-1,877621,-1,967121,-1,-1,-1,-1,741469,8668,-1,677675,-1,-1,901678,671522,32174,148,278563,-1,-1,705345,226151,-1,333840,-1,-1,86714,-1,-1,-1,-1,-1,-1,505081,-1,496092,-1,-1,502539,53383,-1,-1,-1,-1,-1,-1,920583,147747,663808,859996,-1,-1,-1,-1,-1,-1,26415,866911,129070,-1,698098,555169,757495,191657,-1,588511,733689,587449,369311,386218,316291,856726,127127,357919,-1,-1,349073,-1,478836,94822,953560,-1,-1,-1,-1,238042,797750,-1,-1,983142,156838,-1,362695,-1,566346,-1,244289,704085,-1,-1,-1,-1,-1,351977,154189,-1,496186,-1,647930,-1,-1,434685,219952,481074,905956,-1,-1,39779,803807,70152,159656,-1,631095,451711,348279,-1,309382,-1,358709,577949,-1,310068,-1,-1,137308,337269,-1,968703,827460,-1,-1,102013,266347,-1,-1,223896,751598,397176,490196,-1,280140,110035,761602,954358,-1,969588,580488,-1,23952,-1,526044,728545,437044,-1,720154,-1,-1,698714,-1,-1,-1,-1,-1,-1,718580,112106,404790,-1,655667,257526,185188,888753,-1,367459,370671,-1,-1,27639,391767,-1,994727,518913,-1,-1,421686,514735,-1,938259,-1,620037,-1,-1,995365,-1,-1,719713,314038,934597,435032,283431,714796,530899,-1,819977,88312,391322,-1,319118,329456,-1,578239,-1,-1,-1,-1,-1,-1,-1,13703,132530,808411,-1,-1,-1,-1,675528,-1,-1,-1,211416,254341,-1,-1,-1,365330,-1,130071,-1,-1,218593,581550,525252,-1,380048,-1,-1,-1,205063,-1,-1,-1,-1,845089,960319,851687,-1,-1,-1,265826,752769,-1,120708,182191,211183,64689,236039,444501,685305,807471,971772,648493,-1,-1,-1,-1,879874,-1,392893,550595,-1,-1,351218,80098,69171,49168,-1,149104,836371,646708,850502,24190,924455,85053,671807,-1,-1,-1,-1,833463,71743,-1,900438,-1,352202,-1,-1,-1,-1,-1,-1,974766,-1,289348,457071,259023,751240,160445,269800,-1,592007,-1,-1,541822,348264,10845,659033,184943,-1,885057,243648,-1,-1,983885,-1,921767,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,342336,194079,-1,557721,840196,497075,805429,-1,-1,-1,-1,433193,639923,-1,-1,377704,676147,-1,-1,-1,93432,908993,370092,-1,-1,800586,-1,611546,236061,649850,-1,459330,547640,85399,35071,-1,-1,300791,-1,89789,-1,-1,-1,519664,800275,937382,-1,557177,909058,-1,785434,806864,837816,536499,-1,-1,-1,-1,4982,-1,556854,400210,68197,-1,-1,712297,-1,-1,479126,572065,180490,591820,847733,-1,84472,616674,946550,-1,535568,347489,-1,666854,-1,960977,126728,-1,-1,-1,-1,624017,548613,869281,497258,323401,-1,389095,723628,291176,-1,-1,-1,-1,348304,819616,-1,-1,82036,-1,-1,-1,-1,711720,-1,65991,-1,-1,-1,501318,355634,591011,-1,583228,477455,296814,991291,-1,771969,201998,-1,-1,974528,-1,611579,-1,-1,157988,-1,-1,463437,210268,-1,819540,-1,831638,148085,682309,-1,-1,-1,746025,314882,-1,461212,900811,812315,-1,-1,284605,-1,-1,385404,-1,745857,-1,-1,790569,-1,446676,-1,988973,936402,-1,-1,-1,12484,380500,-1,-1,9068,26433,-1,-1,835891,404721,-1,646256,516361,755459,932134,-1,759206,667436,-1,389991,49246,836365,870468,691729,523136,179996,-1,140723,704603,712468,-1,468179,678348,971896,15778,-1,376353,-1,-1,-1,847174,871012,-1,-1,-1,231843,-1,-1,977675,607931,-1,740729,487050,-1,887196,-1,958672,298976,482051,-1,813972,-1,-1,-1,383836,666843,533314,-1,-1,-1,-1,-1,971874,-1,-1,523701,516803,746638,-1,-1,-1,-1,-1,-1,594753,201088,343682,-1,-1,-1,-1,-1,293584,-1,-1,-1,753684,222809,42126,179942,986559,-1,210284,-1,-1,-1,81309,841470,-1,-1,704156,-1,46622,-1,636665,-1,-1,-1,441756,411311,183694,-1,-1,209715,252047,681668,-1,300588,562241,-1,-1,-1,920483,-1,524585,933574,-1,705994,-1,346617,-1,-1,689941,511759,-1,-1,714929,-1,761699,563105,-1,438380,-1,703685,-1,796932,-1,-1,48154,-1,980983,897192,-1,-1,215017,-1,-1,-1,530007,-1,-1,-1,-1,878412,-1,-1,-1,421920,-1,-1,-1,277377,497461,-1,308328,352964,-1,-1,151403,685922,-1,-1,961381,235265,681764,72090,-1,570796,-1,803364,903251,235541,-1,-1,708814,964092,854329,177679,241832,917926,359455,-1,-1,666816,-1,-1,-1,-1,250923,-1,284127,734859,653433,-1,803915,-1,-1,-1,199863,-1,50809,536602,437193,580621,744138,259543,-1,-1,681936,-1,73106,382224,-1,-1,-1,-1,292581,-1,-1,-1,911605,866350,-1,938455,670756,629959,12748,-1,851125,-1,190876,637488,-1,-1,338635,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,151112,892806,968207,918790,-1,255979,-1,-1,-1,-1,273503,-1,-1,-1,657006,345455,464425,-1,413811,142891,50556,538296,-1,-1,489372,-1,528202,276675,877472,701725,-1,-1,-1,-1,296717,962154,114673,-1,-1,128529,-1,4531,-1,39391,-1,287538,-1,-1,-1,166397,-1,-1,-1,666217,417726,-1,861516,-1,-1,930483,680678,-1,-1,-1,969980,-1,824488,629035,525746,-1,640830,-1,193462,600852,-1,182902,-1,367691,-1,552899,514616,-1,-1,-1,469277,60069,922953,-1,-1,562141,39966,19837,-1,-1,778483,-1,362751,475888,-1,146841,-1,-1,-1,777240,48180,-1,569670,77495,-1,-1,-1,587739,765618,605476,-1,-1,241208,368556,48106,679527,509071,783074,-1,-1,-1,592789,500155,553048,-1,-1,300958,902566,-1,-1,889852,-1,352846,364247,-1,-1,-1,624167,-1,782253,-1,-1,-1,733730,54615,-1,-1,-1,-1,253224,687416,-1,259346,-1,-1,231228,416360,253737,-1,-1,-1,47650,219722,800236,548667,-1,449357,95779,-1,-1,-1,449642,-1,681080,-1,620008,-1,-1,-1,129163,49899,242553,-1,24480,-1,248830,-1,448485,730168,-1,-1,-1,4176,-1,-1,62495,-1,-1,-1,-1,312386,-1,650077,-1,826152,640983,-1,230440,-1,-1,-1,-1,336425,-1,495881,-1,-1,821029,170928,-1,-1,-1,-1,-1,-1,-1,630046,-1,-1,338038,599433,-1,-1,-1,546543,851860,-1,465847,419143,425517,-1,954612,127541,293454,-1,90700,-1,-1,-1,965658,-1,-1,492308,-1,-1,291954,-1,743179,-1,-1,-1,-1,770498,-1,-1,757204,629918,-1,-1,437676,-1,395824,-1,543137,-1,-1,840182,-1,155151,-1,-1,27520,302774,-1,-1,994865,-1,-1,-1,92480,-1,-1,993951,421117,173404,-1,-1,517440,-1,59192,-1,-1,149425,-1,-1,-1,228694,-1,778023,608894,-1,-1,-1,64093,14234,-1,-1,-1,-1,-1,-1,948906,-1,721017,996811,-1,-1,768506,-1,783230,-1,-1,-1,396496,-1,-1,-1,286478,379357,-1,-1,-1,494913,714142,-1,-1,-1,686284,-1,-1,-1,-1,819722,190633,342057,-1,-1,68372,35248,-1,436782,-1,-1,-1,-1,-1,-1,-1,-1,757024,-1,294892,-1,-1,610179,-1,913532,-1,-1,965303,-1,-1,263998,-1,789780,984686,55996,250809,913325,436365,302348,-1,-1,977614,-1,-1,-1,-1,-1,86621,383054,175126,8817,286440,-1,748883,269797,340445,-1,-1,-1,-1,873964,-1,280059,880270,312954,-1,41019,38360,40388,-1,824045,428429,465698,962359,388986,-1,-1,787850,437264,48750,799082,-1,-1,824778,-1,-1,900621,-1,714798,683203,-1,-1,-1,230210,737767,-1,29487,-1,-1,335368,87490,-1,892255,625883,673591,-1,-1,-1,576453,-1,-1,-1,-1,-1,-1,-1,540397,784455,805741,-1,436377,-1,101767,803240,-1,714795,-1,-1,157745,-1,28122,-1,199126,536438,324263,439714,685501,757825,361358,-1,-1,376242,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,106479,656449,-1,427338,836026,72948,-1,-1,179586,645934,155896,-1,-1,-1,-1,-1,-1,235833,508837,-1,-1,-1,706559,51242,300112,-1,209491,595452,-1,-1,-1,-1,-1,-1,965495,-1,-1,-1,-1,284266,-1,-1,-1,-1,-1,208665,615068,-1,618473,-1,-1,476945,288242,-1,-1,622391,-1,951748,864407,-1,241504,307676,534182,-1,-1,-1,-1,607890,-1,716396,833301,979413,-1,-1,133805,-1,-1,-1,26515,-1,958367,-1,37292,-1,471368,-1,-1,-1,755673,204100,-1,484465,-1,-1,259342,82086,822830,277471,-1,-1,365948,394237,685681,-1,-1,-1,-1,-1,715905,854931,718392,-1,-1,243848,577200,579103,146155,-1,-1,598742,133286,-1,-1,680807,-1,-1,142830,-1,328511,688136,-1,-1,992343,794285,449215,25212,800280,707322,-1,218426,-1,591288,-1,138104,-1,-1,-1,-1,923640,-1,689732,118660,428349,454450,815024,447278,200968,471556,-1,201118,-1,-1,-1,-1,-1,-1,831698,-1,-1,-1,207412,539862,-1,-1,-1,-1,670419,586812,-1,110933,295448,-1,-1,-1,764979,823211,-1,-1,-1,801131,437821,564761,-1,-1,555314,-1,269502,-1,-1,781325,200354,445479,718933,-1,-1,132383,-1,-1,216922,662396,713802,-1,-1,-1,-1,-1,314732,776795,163546,164944,549997,-1,-1,372772,730942,-1,-1,775703,744539,665107,-1,810221,-1,814155,282017,462722,450797,-1,-1,531862,93486,774016,737647,-1,85177,763169,381539,51100,-1,526320,802396,-1,795655,-1,-1,662085,686014,-1,-1,-1,-1,329542,-1,-1,-1,506267,-1,-1,67523,-1,775904,808000,245414,785023,641371,-1,590528,532487,-1,-1,721409,270230,-1,-1,758999,-1,-1,-1,-1,609559,-1,-1,-1,406874,371425,592839,-1,650274,320929,301088,73157,987041,-1,27923,-1,-1,19619,-1,-1,971969,895710,178580,-1,240457,-1,214754,928956,-1,807937,-1,-1,37475,615725,673161,-1,798698,-1,653850,-1,990748,524631,26951,47,13754,8470,339423,113880,423414,317574,-1,446359,119239,267966,-1,-1,-1,631062,682305,231609,402338,500887,-1,-1,290034,-1,596885,-1,321263,349806,-1,-1,-1,-1,428909,394870,-1,889693,490233,744064,-1,-1,-1,-1,224651,-1,-1,-1,447063,398663,814751,-1,-1,-1,831476,-1,-1,-1,92747,-1,728139,-1,878772,743082,549461,-1,-1,-1,-1,-1,34602,-1,191402,-1,-1,-1,868483,46242,-1,735017,53425,-1,692385,950807,-1,22199,-1,55245,983033,-1,-1,245119,-1,451901,-1,687949,-1,532585,612286,640844,188208,-1,416665,-1,-1,-1,-1,506150,454615,-1,376955,-1,-1,-1,413643,-1,17995,966709,-1,-1,443606,379155,801994,-1,-1,828461,-1,-1,-1,-1,-1,-1,867576,-1,-1,-1,845579,-1,115561,-1,-1,936578,387086,-1,-1,810313,588514,299225,-1,-1,980243,-1,-1,895184,-1,941699,302675,-1,-1,-1,62099,521908,-1,830465,-1,-1,-1,519584,818768,768703,-1,-1,-1,-1,170370,899642,-1,-1,257040,210535,-1,635646,-1,986946,964822,70847,198360,378343,-1,-1,27875,464807,-1,-1,-1,859139,625998,644203,730201,-1,855426,-1,-1,138412,-1,485616,-1,-1,-1,-1,913473,208170,370237,514683,-1,186014,-1,13332,-1,452772,-1,179982,-1,728103,522390,-1,-1,840153,-1,-1,126326,675359,817832,777934,154536,-1,-1,133947,-1,542836,373267,-1,-1,332217,-1,-1,-1,923318,-1,-1,-1,-1,-1,-1,997152,319734,-1,636519,342495,-1,-1,-1,-1,959175,-1,101774,720355,77489,-1,794183,583600,-1,608645,-1,857371,693482,258628,-1,-1,651014,-1,700955,921492,-1,417333,216393,467059,-1,342746,293780,387637,461879,-1,16283,983083,406482,-1,176049,-1,500105,-1,-1,-1,-1,-1,-1,-1,-1,-1,52994,-1,534699,62290,852517,-1,910135,901186,-1,234902,-1,-1,768644,756524,206356,8990,789054,402864,-1,-1,444080,-1,715220,109416,877647,-1,-1,-1,-1,932806,974826,-1,56967,738801,-1,-1,264199,-1,-1,442663,701432,-1,936554,-1,-1,889833,885169,879854,-1,-1,307832,-1,352782,-1,521047,-1,-1,-1,284597,-1,-1,-1,-1,557521,-1,805528,828041,-1,-1,383270,-1,-1,50031,-1,-1,56540,-1,-1,580241,-1,-1,464131,-1,-1,-1,-1,567804,700323,-1,-1,-1,-1,-1,109274,-1,-1,-1,-1,-1,-1,-1,640600,-1,-1,-1,953442,614528,419793,89626,904741,103548,-1,459748,-1,-1,568431,703799,166749,-1,-1,-1,-1,-1,-1,-1,792371,-1,-1,590186,-1,-1,720735,262688,596593,-1,506096,-1,216741,734083,-1,-1,-1,-1,-1,-1,478242,-1,241851,878931,-1,-1,-1,-1,-1,-1,-1,-1,-1,834075,162449,-1,-1,652803,-1,292719,-1,-1,-1,-1,-1,712557,602853,761778,-1,714177,195940,-1,818710,439220,-1,-1,21442,511028,-1,44934,-1,945505,110358,-1,-1,923910,-1,-1,-1,-1,439648,94904,326682,-1,705673,-1,-1,-1,-1,727826,33266,587025,591207,814220,208141,-1,227354,-1,816871,-1,-1,-1,-1,-1,524191,-1,-1,-1,548773,796506,-1,-1,691409,888635,644572,290083,729837,306138,-1,-1,567453,794924,-1,351710,-1,-1,44502,279530,475601,-1,818229,-1,186399,-1,785176,567924,-1,-1,269018,-1,-1,-1,-1,757683,-1,18512,11068,-1,-1,-1,-1,-1,873746,-1,719927,790477,-1,513196,293782,772265,945294,-1,362822,-1,-1,-1,537827,-1,699077,-1,-1,818558,933242,936524,718103,-1,994964,30825,390889,375339,-1,230773,249491,775697,-1,819501,-1,-1,890113,-1,137065,360914,779592,-1,856381,602955,794056,-1,931825,994357,967814,473877,121490,333713,-1,236695,400436,306236,-1,700526,-1,191360,457422,190842,-1,-1,-1,-1,-1,-1,-1,791019,334209,992896,-1,183563,-1,-1,-1,261638,455725,-1,-1,-1,-1,611453,145193,992725,359438,-1,670117,839551,972256,-1,-1,-1,-1,-1,-1,166563,-1,-1,-1,267476,-1,-1,-1,-1,-1,986419,-1,-1,607972,187760,-1,-1,546713,-1,258485,592859,67987,181731,-1,388100,631257,-1,674675,-1,673583,-1,544687,-1,-1,537003,898732,-1,-1,-1,191135,-1,-1,38495,-1,986162,569088,411357,-1,-1,793777,-1,-1,-1,958570,634531,496847,532132,684141,-1,-1,599586,-1,-1,531078,-1,135167,861094,559053,244226,860728,268938,217265,90742,-1,-1,-1,-1,373093,-1,836614,158445,621885,286693,767081,896624,-1,197972,548737,-1,279822,-1,-1,663428,955156,-1,-1,107340,653579,722353,-1,34324,-1,282179,-1,-1,-1,-1,465066,-1,-1,157747,782567,474644,533887,733154,416379,282942,835910,-1,604992,-1,-1,606443,988328,-1,568689,-1,923041,230577,386123,-1,834315,-1,316466,-1,354011,412717,-1,-1,-1,-1,-1,-1,-1,-1,-1,759876,-1,822798,-1,-1,-1,-1,861472,410923,-1,732836,-1,-1,782792,-1,72243,414899,503590,657148,-1,566831,-1,614518,-1,-1,755529,861090,726606,332421,934672,303539,-1,-1,306315,914206,-1,-1,-1,-1,867188,242113,447428,992280,499385,-1,-1,567527,-1,-1,-1,-1,-1,425046,-1,606560,829704,332335,936657,-1,736820,-1,41431,450384,856173,-1,360843,82268,133065,391104,-1,920538,196728,559455,168750,762096,-1,855201,642482,-1,732368,-1,542115,-1,145383,849663,-1,534268,699284,793102,-1,299946,-1,775687,-1,418235,408822,-1,434121,-1,872822,-1,-1,85106,-1,701722,746242,-1,-1,-1,-1,-1,-1,901721,695646,104839,11823,-1,-1,694964,-1,-1,566145,-1,254137,-1,-1,598433,182120,-1,185413,-1,283554,-1,596512,626500,-1,-1,752512,-1,563412,744134,228348,603015,995142,-1,64159,337762,-1,-1,602520,572573,127513,-1,381890,-1,479049,612909,247310,369259,-1,-1,-1,255465,-1,-1,-1,475952,870820,770723,757853,220980,-1,879293,835106,-1,407984,-1,-1,-1,-1,860120,674439,846198,-1,687308,588989,321041,-1,233313,862661,512513,673304,182717,-1,-1,-1,-1,98393,-1,-1,727947,179933,589514,935847,-1,260572,-1,462927,-1,-1,-1,-1,-1,578821,235956,-1,-1,-1,-1,795993,133931,638670,-1,221958,-1,721648,86921,-1,173501,592473,-1,364496,708859,48525,-1,317616,137871,-1,-1,-1,539935,-1,-1,431937,-1,-1,-1,-1,-1,-1,-1,864186,288706,983457,24963,776324,95662,744433,163469,791118,-1,-1,987017,-1,103394,-1,-1,142536,176916,165499,-1,511554,136080,459235,-1,-1,888189,254541,-1,389838,552220,137645,-1,977035,126596,802852,671234,247874,-1,-1,-1,-1,-1,776471,-1,-1,762982,-1,204786,518330,-1,339623,-1,481826,744359,970399,487893,-1,793554,59563,-1,-1,-1,759093,-1,-1,-1,-1,-1,-1,-1,501830,-1,129637,610587,-1,-1,897373,-1,639560,440589,169633,-1,-1,879570,-1,-1,-1,-1,-1,-1,-1,149417,-1,466199,930961,-1,-1,-1,235629,-1,-1,318890,724535,46899,-1,792706,-1,-1,-1,630430,-1,782109,-1,416026,548044,110713,-1,28487,-1,-1,381866,-1,-1,-1,912095,65491,667561,406775,152113,173808,-1,-1,-1,-1,-1,119757,-1,153407,942127,-1,-1,605660,-1,-1,695048,-1,-1,-1,284049,370521,-1,203053,417615,220039,77283,127199,-1,856907,-1,-1,181511,-1,194329,-1,-1,-1,-1,-1,584879,-1,-1,-1,170014,735197,304896,137338,338148,784465,-1,979333,-1,270763,462053,-1,-1,-1,290232,-1,-1,-1,30884,85643,58507,-1,-1,708383,-1,345629,413560,-1,-1,-1,300397,-1,-1,544141,-1,514649,-1,-1,-1,-1,227232,-1,272226,-1,-1,-1,671419,-1,414198,-1,693441,289214,395520,-1,902439,-1,80803,-1,-1,558888,-1,-1,225195,-1,507609,-1,-1,-1,183783,111008,670667,-1,739246,574915,-1,-1,-1,63366,-1,-1,-1,107488,183460,-1,-1,755276,-1,-1,599752,-1,643471,736271,937895,241915,522366,292915,930978,-1,774611,-1,-1,-1,-1,656236,-1,-1,-1,-1,-1,278150,875700,718591,121305,924281,-1,696508,977254,-1,461971,147687,-1,-1,-1,981054,544932,468594,159390,614479,358147,-1,55194,137545,732066,-1,685211,67997,670346,-1,329214,540780,-1,195197,-1,-1,-1,-1,301975,381540,-1,100292,-1,-1,942644,-1,-1,573874,88799,-1,907203,545502,82364,857080,441909,867915,-1,428222,-1,280535,495682,-1,203813,-1,-1,580183,255409,-1,-1,432864,233122,-1,-1,-1,383984,-1,300159,693686,-1,500781,195958,333432,-1,-1,-1,-1,439732,142660,-1,-1,-1,655833,-1,281038,-1,-1,871676,360512,473184,-1,-1,19552,-1,-1,445090,-1,-1,639070,433430,-1,-1,37771,-1,12705,-1,-1,-1,874351,-1,-1,481559,-1,490864,503282,447844,871849,-1,-1,-1,-1,292923,268349,76667,327333,518621,869304,-1,-1,211681,847557,-1,266850,-1,987887,-1,-1,6502,-1,232781,-1,-1,891501,-1,-1,759748,23991,981455,466257,-1,429446,47897,-1,247982,-1,-1,176451,-1,-1,-1,474380,-1,756368,-1,739539,652166,221349,-1,-1,-1,-1,493685,915470,819976,-1,44919,742011,166384,-1,485155,88299,303953,-1,515919,864150,228447,-1,704825,-1,-1,820541,166241,-1,-1,151208,-1,374354,352299,-1,571013,500988,-1,-1,-1,757037,-1,778999,712361,-1,767893,-1,-1,-1,128062,286256,-1,79398,-1,883388,349028,469984,-1,880321,579321,243125,-1,-1,684552,-1,-1,298289,938744,-1,-1,548693,-1,904222,316276,567285,-1,36624,683429,-1,4847,-1,-1,-1,-1,-1,-1,-1,920601,642505,-1,-1,967261,659797,-1,-1,-1,959349,-1,-1,-1,455251,-1,860329,-1,806528,103865,467915,844180,-1,760980,851791,-1,-1,-1,-1,-1,263376,218931,505576,-1,358738,495916,782180,600714,601500,955802,83691,837922,223913,-1,-1,-1,59111,599859,796897,446434,890445,-1,498820,902237,-1,685405,-1,43425,559870,-1,2141,157990,97661,513889,-1,-1,-1,-1,-1,499816,592704,274949,-1,-1,91792,-1,-1,712157,-1,-1,-1,784128,460105,199679,-1,-1,447759,-1,292675,-1,118513,-1,-1,408095,724717,-1,158376,901157,-1,547412,371964,-1,630233,671322,732105,-1,-1,-1,-1,871505,-1,-1,109981,-1,861411,647220,103921,-1,409087,138615,728437,766273,400628,622171,705113,839431,-1,158888,885369,-1,-1,391485,275150,101759,-1,136927,209971,2707,-1,-1,497609,964894,652820,626541,-1,-1,-1,-1,380537,-1,-1,-1,44463,-1,-1,-1,-1,783794,834362,-1,168738,-1,-1,964868,-1,-1,-1,830983,-1,-1,-1,-1,-1,781073,202338,466313,639993,-1,-1,215619,853667,326,-1,-1,-1,424886,-1,74936,-1,-1,-1,-1,42377,-1,-1,-1,980632,-1,-1,-1,521249,-1,754711,36129,-1,-1,-1,-1,-1,-1,-1,-1,265702,658611,57177,-1,619388,-1,746888,-1,901448,662510,-1,-1,-1,-1,-1,-1,805750,-1,-1,602518,-1,959142,738390,389773,-1,526741,403933,-1,811244,228600,-1,555369,694438,417979,79099,-1,-1,-1,784084,523035,-1,951112,334757,-1,-1,620669,559977,878285,-1,-1,-1,-1,495786,-1,340266,-1,-1,-1,-1,461163,-1,-1,98390,-1,-1,-1,236077,659590,602984,-1,661671,122154,-1,-1,85099,887554,-1,-1,-1,433455,-1,537337,363552,359768,898150,196975,248021,-1,-1,96741,-1,543285,650486,486554,-1,-1,-1,-1,-1,-1,-1,-1,389988,-1,568065,-1,-1,164114,-1,861876,955953,507687,612389,-1,580544,-1,88593,-1,-1,-1,-1,-1,-1,556991,929523,129055,846165,-1,386219,-1,368212,537129,269591,823240,-1,492097,-1,-1,-1,-1,-1,-1,-1,-1,725882,-1,280378,-1,448928,48894,241899,121641,669221,595666,-1,445674,-1,670928,-1,281249,-1,875123,615310,168911,-1,19460,482117,505840,-1,175004,-1,-1,904584,-1,-1,-1,168948,780452,-1,674171,185822,135081,-1,-1,-1,694930,-1,91146,900928,34573,567796,218450,451052,-1,-1,816264,-1,875661,-1,935256,-1,419585,-1,-1,438990,719531,-1,207733,548244,547554,-1,490214,987821,-1,-1,735273,-1,518005,-1,214108,-1,79078,456843,861632,621716,292403,205273,-1,156919,180601,573956,148054,-1,64604,-1,792316,960850,601466,-1,700472,907597,596532,483991,579989,-1,742407,757394,366467,683190,-1,-1,89116,408671,793934,360980,-1,-1,174169,508515,422264,-1,548246,-1,757465,-1,-1,-1,-1,-1,108993,857319,-1,761265,663583,4801,-1,26840,-1,409247,-1,414272,-1,968787,-1,700010,578035,481831,2811,-1,-1,822308,-1,730359,35876,169091,-1,-1,-1,938145,49981,-1,707926,280491,228827,-1,-1,-1,589089,-1,646784,-1,58628,984492,472729,-1,889887,-1,-1,-1,-1,897643,-1,599255,306042,306652,427769,832887,-1,-1,-1,-1,96679,-1,445439,-1,-1,364497,952632,-1,733163,51093,760007,718668,446526,553803,-1,-1,144927,-1,582174,91035,77361,-1,14225,247043,471585,-1,537805,-1,-1,316271,752046,-1,-1,511388,-1,-1,-1,-1,-1,957237,-1,487147,737801,-1,-1,-1,-1,51268,-1,495652,-1,-1,-1,683325,-1,-1,-1,-1,-1,521847,-1,-1,-1,546649,653434,-1,833121,-1,689635,557126,839335,545433,487880,-1,408098,183005,-1,425976,522072,-1,-1,-1,-1,-1,-1,-1,123218,-1,-1,815176,979680,978827,-1,-1,118618,-1,45918,44126,934788,4023,167841,-1,-1,-1,-1,648856,-1,264783,545650,226607,373442,-1,-1,-1,531753,-1,732436,-1,-1,49875,468440,461338,2620,-1,64126,272823,-1,-1,369281,-1,536619,-1,821971,615928,122795,808538,118435,-1,607141,996060,-1,-1,-1,-1,-1,-1,-1,491847,951198,-1,-1,781812,449798,-1,-1,-1,-1,-1,-1,-1,583795,-1,879441,-1,342943,-1,-1,-1,-1,490472,-1,-1,778284,-1,-1,70467,362005,221826,739924,-1,-1,-1,-1,-1,-1,-1,947584,-1,-1,-1,-1,671315,-1,974931,195501,594782,-1,984710,-1,744794,866952,298367,-1,-1,-1,-1,-1,-1,-1,743186,190136,731139,-1,-1,821281,-1,-1,470467,-1,-1,-1,622313,-1,32602,-1,61989,626934,616427,-1,-1,-1,532123,-1,-1,249240,662875,-1,-1,-1,-1,620369,552885,514835,-1,-1,-1,232071,448891,184525,-1,-1,330154,-1,874540,682180,-1,-1,-1,-1,741983,-1,-1,-1,878465,-1,-1,-1,-1,715567,-1,583342,680517,508132,-1,812087,962271,584423,202571,826107,65338,-1,-1,-1,-1,77635,547253,-1,-1,-1,-1,-1,-1,33743,855090,908682,755189,317836,944900,812818,161431,-1,-1,-1,-1,115268,879647,-1,1924,535781,-1,342041,-1,443164,-1,265422,-1,34617,500182,-1,19681,-1,753223,-1,-1,-1,470183,670787,-1,-1,535431,-1,665828,-1,-1,-1,-1,-1,-1,-1,881277,83107,-1,849377,14255,408215,-1,277457,-1,-1,70717,439054,-1,628565,-1,480550,-1,-1,-1,200131,1585,-1,625899,-1,-1,817906,480589,54178,-1,539288,572626,-1,-1,-1,-1,-1,-1,538876,-1,-1,938692,56136,-1,201810,-1,-1,-1,-1,231370,788513,-1,-1,-1,-1,555524,704426,-1,-1,-1,-1,-1,-1,750558,-1,639052,866841,-1,644978,-1,655730,882408,826747,-1,-1,-1,889752,96838,-1,-1,120465,-1,-1,826388,195956,662470,-1,262020,444684,260074,117246,-1,825455,-1,-1,171145,134712,782896,182494,422483,176616,787525,469988,105702,684712,-1,752413,-1,631664,-1,77153,443889,844185,-1,206681,54865,263906,-1,203397,712991,617496,-1,834817,-1,512624,-1,448468,599114,-1,-1,-1,-1,-1,399125,-1,303633,-1,397783,334472,638034,-1,436609,760283,65124,-1,247422,104103,681173,-1,-1,-1,222640,931696,628182,-1,50368,-1,485474,-1,-1,-1,756242,378549,-1,-1,-1,-1,-1,-1,409216,-1,-1,-1,905861,453181,837600,725456,920630,-1,-1,-1,-1,-1,800305,-1,985952,657365,632106,-1,-1,794241,-1,-1,405604,822898,-1,-1,-1,307598,71171,-1,-1,-1,328837,-1,455325,-1,44400,-1,-1,429351,-1,177686,-1,77720,169094,855332,64513,-1,-1,853840,481426,181981,403806,377563,-1,-1,711240,801495,-1,-1,-1,-1,910366,-1,-1,-1,388492,703457,-1,45517,-1,794941,-1,-1,105538,-1,-1,985600,-1,-1,-1,-1,648910,750175,-1,-1,295651,-1,349670,-1,-1,-1,-1,617097,-1,-1,557258,-1,463479,-1,-1,758608,73120,-1,-1,503643,-1,-1,501788,428865,489647,-1,288867,-1,173256,133561,32479,569257,-1,804502,-1,-1,-1,-1,-1,831511,109041,-1,-1,-1,155457,235516,91037,939556,753828,679297,-1,92449,663480,-1,-1,-1,-1,725289,512201,996978,-1,89450,-1,153153,961834,275284,-1,126280,-1,933649,200060,964909,946606,40188,434017,-1,-1,855231,-1,-1,-1,382613,-1,-1,68644,-1,869785,-1,607088,151116,-1,-1,123297,259946,60253,-1,-1,450131,850692,598868,132255,-1,628370,-1,-1,171671,320897,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,394243,346192,-1,-1,615842,378646,-1,-1,223747,-1,810736,-1,-1,-1,-1,-1,108638,615115,-1,-1,-1,270338,151554,-1,-1,236121,-1,528537,499574,-1,114097,-1,85981,-1,491059,-1,-1,649895,111717,-1,-1,-1,276901,464348,340945,286538,354085,88045,-1,-1,865588,-1,811779,835410,267539,795673,-1,611748,374461,322271,869768,807280,158987,191656,-1,-1,-1,-1,188961,403655,-1,447188,-1,984148,21250,-1,-1,369485,445191,647076,447606,423007,-1,91439,935045,-1,648207,-1,182596,-1,-1,-1,-1,533036,-1,-1,708741,742270,535539,-1,-1,-1,643495,-1,-1,-1,253799,-1,-1,-1,301893,908412,-1,462653,873927,394171,922146,298701,-1,382081,948028,-1,262721,-1,-1,-1,844451,684403,92671,300710,795160,-1,-1,-1,892829,165518,-1,280410,-1,-1,410634,172310,294803,245011,817216,-1,-1,-1,978789,649255,-1,882516,-1,860181,610361,651637,-1,-1,-1,213089,278272,4780,334337,914831,-1,566787,57944,915921,384510,-1,375108,882102,-1,-1,977298,-1,85332,-1,-1,672139,739976,224570,133495,-1,172728,-1,991894,457998,345911,-1,-1,718761,-1,-1,-1,267251,-1,-1,627411,-1,825469,-1,-1,878850,-1,-1,320630,-1,-1,487236,48908,169286,-1,-1,389163,-1,675349,-1,761212,-1,-1,330974,-1,-1,-1,994796,960035,-1,-1,-1,451343,-1,561295,149988,-1,119081,353173,-1,-1,-1,762144,-1,402140,-1,882956,-1,204744,-1,438722,-1,407909,954478,-1,-1,367435,-1,939197,200929,774919,-1,-1,595176,89362,614496,221192,-1,-1,381995,56225,-1,178667,535242,-1,484437,133403,289159,110227,-1,723192,-1,943631,900760,-1,-1,596950,-1,-1,933203,-1,-1,544129,-1,992520,518197,208809,255251,-1,88392,690991,-1,616587,290082,-1,-1,-1,-1,89204,43233,-1,-1,-1,816891,444825,630877,623076,517399,297321,133558,-1,-1,-1,-1,-1,-1,-1,648940,-1,-1,-1,-1,-1,229491,828319,352908,847817,-1,-1,-1,42905,-1,-1,695485,-1,856947,268650,950369,476480,403452,-1,-1,-1,-1,280671,580731,812387,-1,-1,5909,497227,-1,141542,-1,622791,125390,-1,327953,-1,-1,-1,295787,-1,-1,974040,132616,79901,-1,352941,-1,-1,-1,-1,-1,241668,479578,-1,-1,657369,141397,111485,-1,-1,886475,-1,42780,-1,358305,-1,286956,-1,-1,-1,698393,593251,-1,-1,-1,-1,-1,589892,155059,822900,737898,-1,351952,61522,398353,900205,-1,445394,120308,-1,-1,-1,949089,214499,289167,-1,-1,781621,31039,-1,-1,-1,-1,-1,937775,627893,931260,-1,-1,-1,-1,461103,-1,-1,-1,-1,967606,-1,-1,-1,-1,879436,-1,996155,469337,-1,-1,-1,899364,677052,-1,895723,-1,376427,860664,895615,-1,199759,-1,140136,914111,-1,983803,-1,-1,-1,-1,-1,407765,-1,-1,-1,602115,894919,503171,-1,-1,-1,485274,560414,-1,-1,-1,-1,553458,561618,-1,-1,-1,-1,839030,-1,-1,-1,-1,606385,442675,-1,-1,85515,701454,-1,-1,-1,82930,608322,627396,-1,909247,-1,141696,828506,576141,138292,914826,-1,128681,-1,188903,349176,-1,403212,-1,342729,671381,-1,-1,735690,-1,483721,895097,-1,651278,266541,-1,904820,-1,-1,829793,78328,-1,-1,245877,471893,-1,-1,-1,-1,294607,-1,114221,-1,-1,327853,730639,45891,66522,-1,-1,-1,820869,-1,890963,-1,-1,778641,-1,-1,590706,512136,-1,-1,81202,916404,21011,-1,765276,614747,936034,152434,-1,-1,-1,848442,234147,-1,797808,339141,-1,-1,-1,147798,97711,553664,138687,751966,976261,-1,809875,-1,-1,-1,115353,225869,-1,-1,367246,395674,-1,-1,-1,-1,598101,-1,-1,-1,16385,-1,-1,-1,359304,-1,-1,-1,902864,550692,-1,659550,650674,721479,-1,-1,69796,-1,-1,-1,-1,404426,323164,-1,-1,729911,-1,-1,339441,284791,-1,380777,-1,-1,-1,-1,164459,188824,-1,245185,-1,-1,-1,-1,176384,893390,-1,166382,716773,-1,606351,-1,836062,-1,173231,-1,770512,530595,512006,-1,-1,-1,356399,106820,744512,-1,-1,976769,-1,-1,-1,830746,8760,-1,693594,367303,-1,-1,-1,-1,-1,-1,11095,313338,649621,934970,743173,147493,-1,-1,-1,-1,-1,564422,-1,867842,113978,-1,-1,848749,240051,683898,932314,-1,-1,289298,-1,934188,-1,219495,101348,-1,-1,-1,-1,-1,658029,-1,-1,633246,-1,963054,986750,-1,7795,823615,835324,773238,587518,289948,328680,111167,25749,345257,-1,446685,560228,670803,774635,-1,918671,-1,-1,744157,39068,927989,45296,610576,457023,975750,-1,561817,150406,434458,645095,117829,-1,763134,-1,-1,-1,-1,534746,12924,-1,725929,-1,-1,-1,-1,-1,919747,-1,20893,491542,874347,-1,711894,128735,-1,-1,-1,450059,57383,78301,506107,-1,-1,-1,-1,445120,-1,228641,-1,785963,-1,539657,-1,822096,803624,-1,458524,377285,-1,806431,346151,-1,-1,810285,-1,782723,-1,-1,-1,-1,-1,-1,634549,-1,-1,298990,889734,467503,41146,317569,897966,67384,610652,-1,599158,909866,805266,-1,-1,881733,611035,-1,-1,-1,157259,-1,-1,-1,-1,-1,819951,-1,-1,-1,945530,-1,-1,-1,680432,965176,885652,-1,-1,-1,-1,654906,658858,987198,-1,195444,993687,-1,-1,-1,-1,-1,-1,958007,-1,-1,-1,547373,-1,905475,326445,-1,837719,94908,952757,-1,847656,390891,223060,232487,301708,-1,-1,-1,-1,175764,462137,428040,858253,-1,474667,924313,-1,-1,-1,784426,949032,46781,70832,-1,-1,-1,936511,-1,202706,-1,-1,95702,616569,600081,-1,-1,159469,-1,-1,-1,380862,-1,-1,-1,661650,829944,355967,49482,488750,-1,251083,229166,227854,655463,448144,624944,-1,-1,-1,-1,5583,-1,-1,189880,-1,113743,835453,661900,-1,331338,-1,945260,395906,452959,527194,-1,-1,589229,-1,989591,100738,-1,589448,-1,-1,-1,-1,-1,-1,344920,-1,-1,939181,-1,-1,-1,219828,131126,-1,-1,770233,855964,216788,669217,163641,625416,-1,-1,928782,399919,-1,-1,946325,-1,-1,558756,99662,345007,192878,732783,-1,-1,-1,325468,-1,584756,-1,269050,-1,730714,-1,-1,257313,-1,-1,67177,-1,278556,980305,-1,-1,-1,-1,-1,-1,-1,747370,583174,-1,380273,483501,-1,-1,672658,346436,949362,635968,453737,723306,13010,17264,-1,-1,-1,-1,-1,-1,934052,-1,735640,270216,-1,-1,-1,103346,-1,-1,963466,248659,-1,-1,240513,155718,749129,-1,-1,803079,742057,-1,-1,28242,422144,-1,-1,-1,-1,-1,-1,83939,-1,-1,595948,798258,831666,936775,-1,909136,431668,510380,-1,-1,-1,-1,443447,-1,-1,-1,431643,561373,423909,-1,910007,-1,45825,49164,495242,-1,340984,959802,306817,-1,-1,-1,-1,125833,603700,-1,-1,36111,72351,-1,432456,634956,-1,-1,550620,-1,257138,606247,229136,986096,-1,-1,301607,-1,-1,-1,-1,-1,94933,-1,-1,-1,691544,221840,600942,804571,382157,551713,48282,839685,-1,837102,267676,240175,540398,-1,237264,96598,330935,562172,-1,-1,-1,595314,462911,476369,-1,52635,-1,-1,-1,972781,-1,4566,108415,191441,-1,969744,-1,-1,887222,-1,-1,33786,-1,-1,-1,-1,230547,-1,211009,-1,-1,903536,502317,52274,-1,-1,-1,-1,-1,994173,404803,738833,595287,-1,-1,-1,-1,316888,406157,640373,953036,682586,561420,-1,77239,182958,-1,771577,126435,-1,538869,-1,-1,-1,178164,695102,-1,249869,4661,-1,-1,-1,42,-1,472619,875317,766217,198179,-1,-1,-1,427351,413172,942387,-1,-1,-1,-1,351321,558161,-1,294982,-1,199620,-1,356654,-1,434072,846738,189421,381566,-1,-1,766429,837043,-1,-1,440042,-1,-1,994230,-1,-1,455041,557898,-1,84772,-1,658677,463460,201086,-1,-1,502235,-1,-1,-1,-1,-1,180477,832185,271561,204115,930828,365390,186825,649202,191971,-1,94216,498738,-1,-1,156935,-1,-1,-1,96875,287782,734737,746422,587761,486261,-1,792872,-1,255399,-1,-1,364564,925379,-1,-1,592307,273764,621147,-1,987974,-1,-1,-1,714921,-1,-1,18005,90170,-1,-1,54830,-1,648283,-1,501023,136348,-1,464184,-1,-1,-1,-1,308770,-1,-1,-1,-1,-1,233118,-1,-1,118158,-1,-1,896236,-1,-1,742826,-1,97602,112286,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,234973,504622,380493,544122,132824,516338,879699,979670,811982,-1,679896,673743,-1,571563,54839,135887,956262,710625,490686,614186,837036,583396,330658,986035,887306,-1,181504,-1,-1,-1,-1,-1,896263,582674,127593,168047,111801,-1,-1,-1,-1,-1,828934,-1,-1,-1,440220,125508,-1,363088,665053,-1,-1,-1,824925,-1,907138,-1,105958,821124,353571,-1,720392,450469,18779,457140,18348,-1,-1,540533,221479,61802,553843,949655,-1,-1,5186,418902,118619,-1,360756,270550,-1,-1,-1,-1,892626,-1,725712,-1,-1,-1,-1,-1,308756,-1,-1,-1,442598,-1,-1,329185,425370,822803,-1,422083,641719,-1,729598,-1,-1,-1,-1,-1,-1,-1,-1,533063,-1,248019,-1,-1,22404,-1,-1,-1,990428,-1,267541,157756,-1,-1,252181,588719,685801,356008,-1,539026,206954,342988,-1,-1,-1,-1,-1,-1,-1,104316,23030,623981,223769,386268,983342,-1,836016,663792,785845,122771,111223,-1,-1,465378,754990,-1,-1,-1,-1,817099,-1,-1,-1,610049,994592,780473,-1,790244,-1,-1,-1,326016,26113,367049,513633,14941,515146,-1,976998,312916,707012,-1,-1,535219,473721,-1,-1,-1,-1,63838,33351,40425,456312,349636,-1,897777,500291,-1,-1,138564,508724,-1,761862,711403,971899,-1,445886,-1,-1,-1,648850,-1,356658,-1,-1,-1,-1,-1,-1,581511,572594,-1,193794,-1,683810,-1,412990,-1,655155,-1,246135,-1,-1,361794,234561,188443,111321,-1,-1,609797,-1,738017,-1,34688,177606,814196,-1,-1,-1,-1,957254,-1,-1,70634,301624,957524,-1,-1,-1,432328,811917,-1,-1,471778,-1,232899,-1,485843,624601,495862,738890,-1,49100,-1,-1,-1,-1,-1,-1,657710,-1,103373,358303,599039,-1,65808,141459,961910,-1,-1,-1,-1,939308,-1,209453,-1,-1,-1,15465,159871,-1,529262,-1,-1,-1,-1,-1,-1,404023,-1,-1,102110,607898,819394,-1,-1,352036,-1,-1,606978,-1,-1,-1,546088,858099,22964,38844,440831,576527,-1,85235,754054,-1,-1,-1,-1,-1,-1,-1,53656,61839,-1,-1,693923,15006,-1,688011,-1,-1,740604,-1,394266,-1,974514,-1,547433,224206,934653,-1,-1,-1,669613,-1,409174,-1,-1,-1,-1,272660,876343,-1,-1,27140,-1,554067,-1,194464,599451,-1,108002,307471,671675,-1,-1,315006,834325,892927,-1,936862,-1,729752,-1,281582,-1,459499,-1,989878,872821,256728,-1,-1,-1,225398,-1,-1,-1,759101,-1,418209,379171,-1,-1,50807,-1,109558,593758,-1,110599,-1,953178,-1,998514,-1,766153,581105,-1,-1,-1,-1,341824,-1,253369,198399,-1,-1,552679,149889,268058,960617,-1,126722,-1,682666,773836,480376,594873,-1,-1,231419,-1,-1,-1,-1,246372,-1,413208,921457,-1,720378,-1,750536,89292,940832,223480,-1,907090,-1,-1,227631,51642,-1,927746,-1,-1,-1,-1,-1,-1,678399,381937,-1,785340,515015,-1,-1,-1,466931,-1,-1,650760,-1,931108,-1,-1,775001,-1,553868,612112,-1,-1,241277,-1,-1,-1,-1,-1,-1,891269,361124,-1,292105,-1,-1,566637,-1,925990,519234,-1,-1,991462,476918,394953,346809,764496,-1,-1,120580,739855,336911,-1,207021,-1,839387,89497,614501,-1,-1,213620,520728,-1,493117,-1,360565,-1,543680,-1,-1,-1,321108,747814,108764,-1,-1,661723,-1,897442,-1,-1,16268,288296,-1,927307,-1,-1,566897,-1,-1,-1,187963,-1,-1,393617,71005,-1,-1,-1,832896,988833,575781,808706,408371,-1,-1,566794,566840,214528,-1,876197,-1,495857,-1,145209,601179,-1,-1,43569,731951,267220,147765,-1,672123,-1,-1,-1,-1,732051,-1,172541,319133,-1,220551,826534,113121,-1,-1,-1,-1,-1,-1,837828,512724,-1,120717,-1,-1,-1,-1,366176,-1,-1,810536,-1,-1,-1,-1,-1,-1,523575,-1,603550,527787,-1,723098,173589,934851,496465,961356,-1,206517,-1,148586,-1,-1,21242,-1,540452,-1,-1,-1,518937,378130,-1,-1,-1,-1,655627,720574,238091,594280,379546,918873,64075,-1,412317,-1,-1,332807,156558,664553,-1,-1,-1,-1,-1,-1,406349,-1,927669,528487,-1,551654,-1,358545,195379,-1,377088,187947,360795,308912,-1,993977,-1,871810,-1,-1,384165,-1,-1,202303,-1,-1,281254,19107,-1,742190,-1,-1,683422,-1,-1,-1,-1,55387,-1,952411,583210,876577,962640,-1,-1,-1,68712,-1,586105,557140,-1,907239,335418,878586,-1,-1,54751,-1,208463,-1,741762,464975,-1,28165,-1,312047,-1,-1,-1,582105,2947,567145,832958,688692,-1,-1,907722,938829,742228,-1,120890,563437,313757,699157,-1,-1,-1,-1,-1,-1,-1,-1,-1,262959,534073,-1,580448,-1,-1,622635,-1,56021,973328,132082,586994,-1,131789,774241,-1,712921,-1,-1,167979,-1,938255,-1,-1,608162,-1,-1,-1,-1,-1,-1,-1,-1,712150,279661,172994,520547,-1,-1,-1,-1,-1,852598,-1,737137,-1,-1,708242,420907,265043,-1,327616,-1,606862,231295,-1,-1,843348,349965,-1,-1,595145,-1,-1,-1,292293,-1,-1,-1,-1,774363,-1,-1,-1,300687,-1,42037,-1,-1,-1,-1,440382,-1,-1,-1,966763,-1,-1,420841,942052,-1,65083,-1,971401,-1,-1,-1,892158,635207,-1,315446,-1,325883,347039,-1,456505,952435,-1,586585,-1,-1,-1,794707,-1,394183,117459,66166,603120,940916,884176,607475,234347,-1,-1,669665,765966,653688,-1,780927,-1,-1,-1,-1,304849,535963,111134,-1,-1,128867,-1,877287,275073,175473,-1,305216,705827,285992,-1,-1,303205,609211,-1,975098,290544,408072,844754,-1,105514,556980,215440,-1,-1,-1,-1,847643,189077,844639,652862,437762,-1,674172,124754,171868,985092,393273,-1,44558,937641,-1,-1,514894,-1,-1,145712,-1,-1,-1,-1,-1,635349,-1,-1,-1,-1,894755,-1,-1,278969,-1,-1,496615,-1,-1,385523,-1,-1,701831,-1,914581,-1,-1,529003,250648,654137,-1,-1,970614,57887,-1,-1,673466,-1,213538,803893,-1,-1,791021,-1,-1,-1,243447,-1,486938,-1,-1,456001,-1,693988,-1,579097,-1,-1,-1,-1,-1,-1,979780,-1,353319,-1,550415,640590,231195,-1,-1,-1,-1,616837,95489,-1,-1,954776,-1,-1,-1,-1,-1,424247,-1,950649,761681,-1,-1,-1,-1,904908,-1,-1,317850,-1,473852,-1,-1,846537,-1,-1,918723,-1,812380,207854,220412,348966,616308,689487,645508,-1,734980,-1,129963,-1,-1,583894,493321,-1,-1,-1,810097,-1,231837,-1,37519,186046,280161,-1,973642,594171,-1,40538,191293,152827,-1,-1,479470,-1,-1,869503,517957,-1,-1,-1,-1,55650,-1,111423,360066,861170,566456,-1,245432,-1,935214,805645,-1,989075,-1,364062,134892,-1,657795,727314,921035,-1,-1,-1,869501,-1,-1,812428,-1,-1,868498,-1,-1,454121,336920,-1,488511,989567,-1,-1,-1,-1,932334,646631,952514,53948,-1,724692,951040,-1,649691,868797,-1,184980,-1,448235,-1,-1,-1,622167,-1,692544,276838,-1,984039,18730,-1,-1,316027,108888,-1,-1,-1,465408,758189,-1,-1,571557,-1,84063,-1,772226,-1,101502,228382,736115,-1,90511,-1,-1,86036,888724,-1,454192,716847,-1,913772,-1,718069,717185,-1,623640,729260,-1,-1,-1,-1,896714,428957,434216,-1,429212,712344,-1,-1,944286,-1,168882,956753,-1,414698,783552,-1,805635,-1,-1,225374,-1,608420,452081,283120,-1,-1,758313,239469,881861,-1,-1,93459,707195,206076,619493,43753,326474,399572,-1,179823,-1,132370,914623,-1,-1,-1,-1,855178,302861,830411,388294,219486,867959,703811,863983,-1,-1,407052,797588,994915,-1,-1,-1,-1,934469,26234,-1,729165,519593,511984,183084,712543,250388,-1,957882,261873,-1,-1,-1,-1,-1,-1,767052,469487,-1,-1,231044,-1,-1,-1,-1,-1,48951,154625,912124,-1,23235,415651,-1,-1,717112,-1,-1,-1,-1,-1,-1,-1,-1,-1,866874,776881,-1,59331,264555,694040,773342,-1,-1,-1,890683,-1,118545,-1,957843,634911,-1,-1,893882,-1,-1,-1,58287,-1,325645,332801,-1,-1,-1,-1,955434,-1,836086,-1,-1,-1,897022,553673,-1,973332,-1,627645,-1,-1,936299,172327,206520,285335,705353,262111,-1,8592,915556,234801,903204,-1,277665,-1,889197,-1,-1,855603,852454,-1,590166,-1,460042,146667,-1,-1,-1,3424,-1,-1,-1,-1,537960,229031,-1,465934,-1,-1,768199,-1,277692,892697,-1,428952,-1,211919,-1,-1,873671,-1,-1,-1,129381,-1,352065,75818,-1,-1,706787,-1,-1,393946,-1,19563,-1,-1,323711,-1,141157,491297,164061,-1,-1,835647,514145,-1,153650,86972,-1,-1,-1,-1,-1,-1,-1,296360,615490,741656,265542,-1,-1,-1,139641,-1,763547,-1,571517,-1,-1,-1,-1,376269,-1,-1,-1,-1,-1,781865,13204,-1,-1,-1,-1,45427,622740,475106,312236,-1,648736,628028,-1,144313,-1,8133,-1,95874,852156,-1,371215,252549,-1,819583,-1,-1,-1,748600,739434,113042,399707,-1,784947,-1,-1,46886,844573,-1,621953,-1,698227,-1,975141,-1,-1,842629,206398,-1,-1,651178,-1,-1,937266,-1,-1,797831,465012,310261,994,-1,-1,-1,-1,-1,-1,404546,829955,-1,-1,990490,83046,146014,730968,819101,196574,538883,109606,510016,-1,-1,565362,-1,468542,-1,-1,-1,178541,747124,408427,935326,729179,-1,-1,-1,757917,-1,510493,-1,-1,774719,512620,-1,741060,548055,-1,220857,-1,303642,142261,26554,193901,-1,442350,-1,274533,-1,-1,918210,-1,656026,637514,953999,-1,989875,-1,888542,-1,-1,134250,282642,-1,2686,-1,878446,-1,156055,603488,832507,-1,-1,302376,-1,-1,89020,178203,819527,-1,215816,322252,721769,391327,251556,553882,469421,-1,437794,-1,732198,-1,221307,239369,-1,-1,588704,-1,820281,-1,904553,852274,-1,204913,673904,331424,127554,-1,855892,462391,580019,-1,967384,-1,921990,-1,960722,267703,-1,-1,-1,-1,903844,-1,207072,-1,-1,27643,-1,769352,325384,54466,846981,143291,-1,569457,-1,-1,713763,921758,912498,58748,-1,269982,-1,-1,-1,884165,-1,-1,229976,382956,-1,-1,652160,-1,-1,-1,518479,127388,361279,-1,573825,645177,976736,590625,-1,356142,-1,29563,-1,936301,903081,982380,-1,-1,622174,598441,-1,688020,736904,412368,614313,-1,307948,744442,702531,-1,993313,-1,79811,95282,5946,-1,-1,-1,987387,123259,629564,-1,-1,149870,-1,527700,-1,746596,26957,271917,-1,491098,-1,291432,39203,-1,-1,5961,303294,12308,943762,635418,429733,-1,809056,-1,-1,819130,-1,-1,21443,432895,115684,948634,-1,901332,541841,-1,109556,848668,260921,639315,-1,-1,182209,-1,200926,-1,889160,258468,755384,200998,-1,-1,-1,428526,-1,-1,405664,-1,-1,-1,350139,51236,-1,350174,-1,443894,916005,557224,-1,810320,-1,214773,-1,495818,406353,881531,195135,-1,98133,394790,-1,989901,375790,-1,-1,439823,-1,620462,175643,-1,-1,706420,-1,-1,18342,-1,450046,-1,-1,-1,569733,585741,702877,-1,623988,-1,-1,143370,-1,638894,-1,-1,-1,-1,582621,-1,-1,418319,-1,-1,-1,675512,282949,392708,217845,-1,-1,54352,-1,-1,844659,535687,490667,-1,409102,-1,-1,-1,-1,799473,-1,-1,-1,-1,777950,-1,-1,56327,274079,-1,-1,-1,659835,85536,-1,-1,752237,325488,-1,-1,-1,107315,961974,960285,873579,-1,-1,562283,-1,-1,-1,954915,655790,-1,-1,-1,-1,674008,-1,-1,220683,-1,335212,-1,-1,-1,271416,442572,-1,-1,-1,-1,16781,-1,444060,-1,-1,-1,65635,614849,-1,-1,-1,486244,-1,613208,925447,-1,96063,-1,935489,413268,-1,-1,-1,-1,-1,439883,-1,213811,-1,805123,42851,194863,-1,616568,-1,169349,-1,-1,-1,34988,998709,202499,-1,263488,243532,461316,-1,755929,-1,-1,523130,-1,760719,-1,395719,611381,197477,90072,538755,-1,212246,-1,-1,-1,772594,993813,914567,971878,935258,-1,-1,-1,529808,964143,-1,-1,-1,-1,322118,-1,291800,32873,-1,910221,-1,-1,58464,164654,275713,-1,53049,892732,-1,945610,235012,515509,-1,-1,61009,-1,222794,762373,-1,-1,-1,82014,-1,-1,-1,-1,956070,-1,866027,-1,739620,-1,510360,802762,931788,514076,800028,254948,937841,-1,584914,860628,-1,-1,-1,408068,-1,-1,-1,-1,452675,290510,-1,332336,965717,-1,602622,587600,-1,-1,-1,-1,-1,814297,-1,-1,469565,-1,22643,959177,-1,973594,278980,945138,-1,-1,-1,-1,-1,914887,823289,-1,-1,-1,731329,674958,-1,123257,-1,349349,823894,854321,969867,378244,906692,-1,-1,554194,-1,199843,99186,-1,-1,876142,-1,-1,-1,955565,-1,587700,140031,-1,636405,-1,-1,187105,-1,-1,753055,-1,855704,655375,878929,509532,-1,-1,797188,-1,-1,-1,-1,393304,-1,992682,34835,889597,118778,-1,266694,512537,-1,-1,-1,386863,294782,520407,-1,-1,98734,-1,-1,-1,-1,989634,111892,488818,61926,174471,413995,608927,-1,531478,180104,398187,-1,596034,724744,993795,-1,710055,-1,369493,-1,779967,-1,529841,428479,627052,-1,-1,738356,-1,7708,-1,558796,-1,941209,443444,-1,-1,78102,-1,592209,277490,599348,-1,679890,849043,82600,-1,487511,1769,998370,-1,-1,-1,975732,574960,-1,616649,-1,388273,849026,-1,236881,-1,940890,925838,-1,-1,48330,858471,-1,434065,-1,560480,-1,-1,-1,-1,-1,-1,977168,616046,-1,80470,-1,731800,-1,-1,-1,373777,308692,-1,-1,840574,235592,-1,660740,576910,-1,-1,569895,-1,-1,85339,356494,-1,-1,-1,109018,-1,-1,-1,-1,447561,98282,-1,-1,804913,58940,941572,-1,515939,-1,856480,-1,497848,-1,-1,483803,681735,-1,-1,617872,-1,960675,738216,-1,-1,571924,812247,-1,-1,-1,472505,-1,99278,-1,18589,967828,-1,131567,291122,-1,291161,-1,-1,304533,510011,342999,635712,211513,-1,-1,128131,-1,-1,-1,-1,47254,139242,-1,323668,-1,-1,302756,-1,-1,-1,-1,346303,-1,394714,220489,-1,-1,-1,497010,-1,-1,-1,-1,-1,804074,-1,901588,-1,198937,310108,61595,-1,-1,6139,-1,-1,966898,636073,349795,-1,734700,-1,360182,-1,449291,-1,-1,-1,-1,151287,-1,-1,-1,188997,-1,907141,911448,697713,-1,-1,-1,904304,853359,-1,-1,942728,970948,995923,-1,923753,-1,689542,-1,787251,466412,-1,372661,-1,471646,-1,965131,-1,-1,-1,-1,626243,593902,708908,-1,599777,-1,-1,780830,-1,-1,150827,396169,637882,277700,514933,-1,-1,579363,-1,-1,-1,331363,875717,-1,373502,4679,774286,5085,-1,-1,109857,-1,-1,283334,-1,-1,631510,-1,970842,855316,527103,537859,644257,207960,773773,175468,712219,517042,-1,-1,870716,590839,-1,-1,-1,-1,-1,306244,-1,304077,-1,357358,818411,98541,-1,-1,260276,-1,-1,-1,-1,784277,276553,907738,-1,-1,-1,274811,946813,-1,421873,956018,-1,-1,-1,351745,808216,242579,-1,301689,-1,-1,-1,-1,474514,700234,-1,415682,559236,875543,-1,768285,9865,73975,-1,576121,-1,120176,725991,672217,-1,939893,-1,-1,-1,71679,38565,-1,802962,369816,-1,-1,458785,916274,-1,269272,-1,-1,2955,501947,-1,750700,-1,977413,284211,-1,46379,-1,-1,-1,38216,644222,-1,-1,432947,-1,-1,868573,-1,-1,654845,-1,-1,502521,-1,132515,-1,64563,-1,-1,162341,-1,-1,-1,-1,768712,-1,732594,956933,759078,188854,-1,-1,997692,901103,42012,-1,755107,214946,-1,520303,-1,-1,897957,235664,971165,-1,705542,167861,-1,-1,720107,956383,389712,837608,570327,-1,354426,732056,210048,439048,766311,-1,850784,-1,302255,428542,209551,-1,241288,847438,-1,-1,-1,-1,20576,-1,-1,852864,77229,240576,241770,868444,829063,-1,-1,-1,394145,-1,-1,214592,923100,134144,-1,26242,-1,243567,465269,-1,-1,217942,-1,962303,-1,-1,346316,657588,428629,-1,-1,47321,-1,501492,348460,-1,249935,-1,-1,932344,-1,108007,-1,568923,803444,-1,-1,731649,-1,739163,548226,-1,625510,805730,-1,-1,-1,-1,-1,561147,240485,275963,-1,670145,-1,-1,149128,744828,-1,-1,-1,583,867832,-1,-1,-1,244356,826826,-1,-1,-1,619942,943830,-1,-1,55252,659266,817371,863615,291851,769402,-1,-1,779619,794246,731021,-1,123325,3174,691733,-1,705603,550783,-1,-1,-1,-1,677941,-1,212341,269916,-1,-1,516695,-1,-1,286747,205387,-1,101278,-1,-1,-1,909831,19072,372528,108747,386308,872269,710719,936702,-1,-1,924752,718917,-1,-1,620359,-1,836932,-1,-1,44336,-1,-1,852824,-1,86108,368356,-1,754178,154481,895459,79088,-1,-1,939115,914031,370078,108542,772743,409653,-1,81214,-1,-1,-1,-1,442066,-1,-1,397258,-1,292259,-1,-1,208236,-1,-1,902956,580221,-1,489667,198269,974354,708276,405734,-1,390597,748135,777197,852779,-1,610070,-1,244212,820121,-1,381170,-1,-1,-1,403203,917333,-1,-1,-1,-1,614537,-1,-1,-1,-1,-1,435516,337358,289691,67504,-1,585972,469124,894978,-1,285503,-1,-1,479305,604812,-1,-1,-1,366191,-1,-1,-1,815719,461195,-1,256264,-1,628939,17364,427974,768180,-1,960967,-1,952727,66717,-1,-1,117244,193401,212240,389130,-1,-1,-1,749828,177763,195591,-1,-1,431189,-1,-1,-1,6123,951544,-1,678054,-1,223755,-1,576899,274136,-1,614746,752681,769651,-1,-1,-1,930803,266904,998835,-1,748302,555652,801244,-1,-1,-1,214386,831572,-1,-1,-1,-1,784940,-1,747412,-1,-1,679483,-1,631226,-1,297346,-1,-1,-1,699737,-1,-1,348596,411368,-1,-1,-1,298562,329336,-1,607881,863530,59285,805585,-1,-1,-1,-1,-1,-1,-1,-1,81626,-1,975871,-1,-1,225363,-1,-1,442793,-1,-1,256736,-1,306253,814029,-1,-1,-1,-1,402512,-1,834443,499466,898256,-1,-1,662807,817582,-1,793758,334739,-1,586730,-1,40143,63184,898206,482213,471186,-1,-1,-1,-1,896039,988637,886914,-1,-1,-1,829142,-1,535037,830814,-1,325016,221956,-1,-1,402445,90805,-1,361848,350051,-1,-1,-1,137210,840870,124724,759374,-1,-1,886423,-1,722239,462266,-1,977510,240988,439218,-1,-1,-1,934868,-1,441613,859106,749533,-1,906927,423624,755201,-1,262124,22633,-1,415275,754722,113098,-1,-1,249033,470946,-1,297612,-1,141823,-1,514620,855311,812501,-1,626871,484759,873871,-1,-1,-1,-1,-1,-1,847504,-1,697679,-1,-1,731485,781437,-1,776057,-1,179527,-1,-1,-1,280162,492321,-1,810068,761847,918861,30194,-1,910595,766278,158998,-1,29855,81382,367649,764431,585860,804000,-1,-1,-1,764207,31044,947727,-1,-1,651329,508752,319686,-1,968133,-1,474785,734349,416700,209920,-1,949068,-1,-1,843347,-1,-1,-1,324895,889625,212703,-1,377358,-1,970448,841863,234300,196327,412330,-1,-1,812570,315996,266548,634895,757291,-1,-1,-1,-1,263682,773777,435057,628499,74939,-1,-1,-1,-1,-1,920374,133524,-1,-1,596046,670235,-1,275132,-1,95272,521647,-1,-1,313184,707034,-1,-1,-1,-1,370377,820384,-1,560577,466985,-1,-1,-1,-1,766824,325641,-1,-1,-1,-1,-1,932951,-1,173373,-1,507886,934539,-1,181330,922327,710436,-1,819611,-1,-1,228320,228149,-1,-1,753710,-1,-1,-1,191609,-1,-1,55930,-1,-1,702764,232202,777573,95535,353222,-1,861573,-1,-1,525850,77447,411695,620708,312580,240216,-1,-1,539924,-1,-1,633529,-1,180067,45765,461624,-1,-1,377873,-1,12730,-1,954187,-1,813538,389238,696764,108781,349145,616848,56873,-1,601448,-1,469759,-1,703502,999927,-1,496911,-1,-1,-1,795228,873172,-1,654822,96023,382653,-1,620377,-1,-1,597542,747204,-1,592978,-1,-1,-1,-1,-1,-1,-1,-1,157514,-1,630564,-1,-1,266695,989253,-1,745547,-1,-1,742725,93086,-1,-1,-1,793649,471828,960464,-1,271874,-1,-1,-1,-1,-1,171971,815671,892663,-1,-1,-1,864388,91850,333849,784082,177296,-1,-1,757270,-1,96756,-1,850394,670509,3651,718694,-1,546641,-1,21175,-1,-1,-1,-1,-1,703053,-1,-1,992154,73749,264723,-1,621250,469434,-1,-1,481474,315492,691586,619501,464483,-1,-1,994363,-1,-1,985662,59724,734418,-1,371586,544872,579965,-1,-1,111159,188686,679815,-1,-1,-1,355025,825477,-1,-1,-1,-1,-1,-1,-1,-1,-1,739271,260598,901969,638322,100374,-1,-1,-1,-1,859632,778695,-1,45798,997609,7660,-1,-1,-1,-1,-1,658316,-1,-1,416225,-1,300239,-1,860306,991086,-1,80383,575244,-1,-1,81463,491958,150365,619370,881703,-1,970232,413311,21854,130354,-1,691957,-1,-1,-1,227866,475081,133580,448946,164483,883950,480678,-1,-1,302836,438174,-1,128880,937940,186477,-1,205640,1408,-1,-1,927462,-1,-1,-1,-1,477631,-1,454284,518819,-1,-1,-1,-1,-1,640742,502848,29341,-1,-1,400230,310774,-1,79680,-1,-1,691737,-1,-1,480642,711273,533109,592890,537676,-1,-1,53814,-1,-1,204001,84224,827818,-1,9899,71304,-1,622629,992626,319201,786746,-1,337461,903990,-1,-1,-1,603507,-1,-1,-1,682327,469591,530001,-1,513063,517862,-1,127510,275078,302318,-1,-1,389793,-1,-1,681510,414541,562031,-1,958054,-1,-1,407994,369929,-1,378659,777942,216973,423112,917425,-1,11818,-1,-1,274661,15210,-1,-1,-1,-1,437617,-1,140238,-1,-1,-1,-1,-1,804440,-1,531985,725763,-1,815410,-1,-1,-1,-1,853096,-1,-1,181835,545176,237110,352274,-1,-1,584517,442242,199548,255950,-1,-1,16381,-1,-1,-1,-1,-1,96789,-1,-1,860606,493366,114728,869934,-1,70014,-1,494050,-1,751478,617062,366268,939730,-1,56283,112110,-1,253414,231309,-1,74046,-1,-1,200948,-1,262135,-1,121406,-1,-1,231012,939034,823103,384692,-1,-1,142099,725824,-1,635668,593416,-1,198868,-1,7597,-1,680655,-1,-1,998789,775838,-1,862088,843059,-1,-1,871722,627125,-1,-1,-1,780203,-1,-1,47818,-1,357410,16896,775754,823862,-1,475972,-1,310863,-1,-1,-1,-1,648136,438375,-1,-1,946801,-1,-1,756927,807861,-1,598296,-1,-1,-1,-1,691174,956405,-1,965423,-1,-1,710874,702849,-1,-1,105751,67170,406303,-1,-1,-1,-1,130809,273492,-1,818244,-1,527386,91153,970711,-1,-1,-1,-1,-1,-1,247760,512157,76010,-1,191106,-1,-1,561102,-1,602251,-1,887185,642492,-1,-1,-1,-1,-1,-1,-1,354116,-1,708060,582070,-1,454150,824729,-1,743519,-1,505026,-1,415756,-1,-1,-1,-1,576012,315893,-1,-1,-1,973354,771358,314251,548415,-1,-1,53496,971950,-1,-1,-1,748662,541384,-1,455304,919001,52253,630606,-1,-1,-1,763979,942397,-1,-1,802405,90740,755864,-1,-1,-1,-1,166674,-1,751471,942506,674436,-1,773042,322378,863534,-1,814256,330943,815035,229260,-1,-1,-1,-1,-1,329197,234417,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,363958,386405,-1,171928,-1,298177,269123,-1,169879,633999,-1,22205,562555,46360,-1,-1,-1,997861,960608,623103,209668,-1,485256,-1,-1,-1,62914,179212,-1,28409,-1,-1,-1,676620,-1,-1,820977,677931,777915,865591,722627,-1,113824,-1,-1,348810,654351,-1,-1,-1,619398,977911,259598,317852,-1,-1,-1,18560,-1,-1,456323,-1,652629,-1,-1,-1,220211,-1,538307,559337,554361,-1,-1,113585,635383,-1,-1,-1,173378,611862,959617,966575,-1,-1,191596,-1,626060,-1,-1,976020,454696,-1,811401,690314,-1,-1,660640,-1,539564,-1,-1,912430,-1,730653,-1,-1,-1,557921,184660,-1,-1,-1,456301,55764,-1,886746,-1,516270,-1,827935,17964,-1,-1,-1,-1,803723,179284,359517,-1,-1,-1,-1,796514,-1,-1,-1,-1,524320,-1,435240,-1,120873,90518,259505,-1,-1,-1,728012,948108,-1,86816,260268,140555,-1,885330,35155,-1,-1,-1,-1,913005,-1,545695,408664,-1,-1,813122,-1,395865,376025,863863,-1,-1,445884,-1,999866,938006,-1,973087,-1,-1,258330,563873,-1,-1,-1,-1,-1,-1,550591,260058,-1,199534,-1,214182,-1,365728,845277,-1,-1,304165,-1,930326,493124,-1,-1,-1,303528,-1,26002,-1,672254,-1,-1,-1,-1,816987,228639,-1,654020,552127,-1,830272,254105,368389,801417,-1,-1,-1,161982,733557,-1,-1,-1,-1,994774,164707,-1,-1,-1,324603,182189,-1,-1,844404,-1,224310,-1,-1,637933,777544,-1,-1,127978,810390,507523,-1,-1,91152,222942,-1,-1,-1,-1,-1,209654,-1,266067,307369,633199,-1,538529,-1,-1,233244,-1,-1,-1,401953,-1,867120,-1,491613,373008,-1,864484,-1,-1,671851,-1,-1,229645,-1,469390,848069,-1,-1,124532,-1,479522,13605,-1,772268,-1,242211,362269,304408,805182,168041,-1,-1,-1,-1,254444,-1,541005,907694,-1,616349,405120,-1,-1,768606,-1,-1,-1,494521,-1,-1,864840,-1,-1,-1,821726,-1,-1,-1,-1,-1,-1,870753,-1,-1,742703,-1,-1,-1,341456,-1,-1,679429,576937,-1,-1,-1,364122,801942,422311,732520,-1,-1,393544,640468,-1,-1,301494,958358,-1,846275,-1,859030,-1,798235,217128,-1,-1,-1,-1,496156,248601,628816,850928,799213,-1,-1,-1,986536,165742,-1,983510,-1,-1,411560,-1,662340,-1,640938,-1,-1,648802,-1,436621,186409,-1,-1,849287,-1,-1,199404,-1,-1,612575,56599,-1,-1,-1,472068,88143,324930,-1,57710,195605,971193,-1,306747,-1,649277,-1,-1,-1,353317,-1,930967,-1,915995,186536,-1,558677,-1,832889,-1,-1,-1,201811,453862,114640,-1,869119,-1,-1,701874,-1,-1,262676,280991,308010,-1,-1,652537,832541,-1,-1,589407,990943,-1,-1,-1,-1,-1,715100,-1,-1,-1,-1,633353,-1,-1,-1,72211,589615,-1,720032,-1,-1,801402,115755,374121,924836,-1,342253,-1,342209,114274,490004,-1,11968,-1,-1,718389,948465,678911,-1,-1,505994,229515,-1,108972,-1,-1,76354,200626,324996,-1,-1,-1,797974,-1,923617,577577,-1,497235,837785,-1,-1,-1,-1,-1,473798,-1,-1,-1,-1,-1,740600,-1,-1,-1,-1,-1,-1,-1,299310,-1,-1,-1,-1,441801,-1,-1,585948,726941,454456,-1,221968,-1,-1,-1,599968,-1,353540,-1,123940,507723,840183,695822,-1,382178,-1,654544,34184,99241,-1,-1,-1,-1,-1,-1,40374,525608,-1,-1,-1,-1,-1,-1,120339,295940,-1,-1,373549,239617,-1,-1,697295,730442,-1,-1,-1,194851,-1,-1,406382,-1,162802,-1,778982,-1,352931,-1,38386,-1,-1,-1,54861,-1,-1,642312,-1,804848,979695,-1,470753,-1,546517,586756,-1,-1,-1,355292,-1,-1,312718,-1,563242,-1,-1,-1,199273,-1,624657,35105,-1,-1,-1,-1,620403,-1,461472,-1,-1,-1,48334,-1,-1,-1,458585,115050,938507,732283,975691,914550,555214,797276,-1,10120,11118,-1,-1,553259,-1,-1,-1,706789,-1,-1,393311,-1,-1,380739,-1,911047,159898,360323,-1,614620,536759,281301,536190,-1,47334,145309,-1,-1,-1,990627,10852,787600,-1,-1,125322,-1,-1,426767,-1,747709,987122,-1,-1,231712,-1,104509,-1,-1,988025,560046,786631,-1,-1,449619,-1,3253,-1,477546,-1,-1,-1,935309,-1,286106,37562,-1,-1,-1,831237,278057,-1,-1,785406,-1,75436,-1,-1,-1,13695,936072,182237,448869,-1,506952,-1,673854,-1,617529,855498,618480,-1,-1,365748,109568,919660,234991,-1,-1,-1,642533,-1,187405,-1,909835,831872,726551,-1,840920,270313,-1,-1,197965,-1,-1,-1,-1,763845,-1,-1,777785,675471,627960,989442,415619,-1,668224,-1,753480,-1,506370,611250,-1,-1,-1,561948,800301,468618,-1,814923,906026,-1,381314,-1,979882,662625,484608,-1,-1,-1,838658,885406,-1,339380,240036,305138,630607,-1,-1,-1,-1,-1,-1,322947,-1,97396,994642,-1,78207,-1,-1,396472,-1,-1,-1,-1,788886,45125,-1,466436,176843,-1,329693,-1,819797,265033,-1,777105,-1,-1,-1,439147,-1,295731,118369,-1,702183,-1,721208,464889,-1,-1,929294,480464,879544,686516,253549,-1,-1,-1,984937,-1,646790,228084,-1,851360,380351,546531,-1,682312,260452,-1,-1,562320,628707,-1,773687,32416,431008,815700,30207,-1,284163,465497,-1,-1,122212,812021,601629,-1,-1,11684,831176,-1,710027,-1,228963,340200,-1,746631,-1,-1,-1,-1,651056,-1,662519,949162,-1,257435,270206,118217,593523,-1,-1,-1,-1,203262,313900,-1,827220,624209,3718,993616,-1,-1,335108,-1,103052,727981,864984,-1,-1,204933,254424,-1,-1,-1,-1,-1,-1,577820,433023,-1,-1,417108,-1,322571,820290,756319,-1,-1,-1,-1,-1,-1,930719,-1,-1,-1,-1,-1,240073,222529,744285,161364,537259,-1,388775,-1,199627,-1,-1,-1,-1,-1,-1,553205,-1,-1,239985,-1,-1,890640,-1,676835,-1,-1,-1,-1,-1,342294,784741,-1,-1,30368,26909,-1,-1,250633,176950,611668,32299,-1,863043,4524,-1,599888,120524,-1,778489,856744,-1,942671,-1,426925,-1,-1,-1,3476,754867,-1,934072,-1,631081,445816,-1,-1,-1,-1,-1,510731,-1,-1,103843,-1,-1,-1,762556,208312,-1,-1,-1,138810,-1,620229,-1,114088,732839,-1,-1,131339,-1,-1,-1,-1,607383,-1,-1,727028,687146,-1,410609,-1,-1,-1,-1,-1,359963,749895,-1,-1,-1,256011,-1,962758,-1,360707,12110,-1,918944,-1,488833,11057,-1,164502,-1,352566,-1,223874,316951,757947,320946,-1,-1,-1,754393,162591,-1,-1,103798,-1,-1,481834,-1,-1,218872,316375,-1,436095,-1,-1,-1,-1,768858,636116,-1,85449,239070,648830,97471,-1,-1,344306,503274,-1,23788,815077,661059,560171,539150,-1,-1,103624,-1,894297,-1,297096,295707,392370,-1,395069,948200,112288,845837,-1,720932,696321,-1,668067,519446,489378,-1,-1,247460,-1,-1,695412,-1,-1,47410,37590,-1,-1,-1,-1,167938,-1,-1,726249,-1,492927,331372,473063,191140,-1,-1,-1,906837,-1,-1,-1,499686,-1,-1,-1,-1,-1,-1,101091,812462,-1,549250,-1,575436,149920,-1,70200,-1,-1,-1,796244,745817,-1,981197,-1,-1,-1,-1,854426,974927,-1,155369,-1,-1,911393,281006,485207,672667,227688,-1,-1,247085,682645,-1,-1,858436,556537,987993,723930,745400,368850,108062,-1,-1,-1,-1,373536,-1,432340,704094,497497,993060,-1,-1,145739,411799,-1,-1,-1,52794,-1,-1,62971,-1,806037,642631,413530,375527,-1,-1,496304,493653,13588,-1,189054,-1,129787,-1,-1,-1,-1,392843,702179,892444,939846,795935,-1,-1,-1,457367,-1,-1,-1,-1,-1,-1,950467,15430,95671,-1,241355,696247,19944,741542,-1,528563,-1,304584,941823,-1,931827,-1,535725,-1,914616,-1,259596,-1,195050,470913,-1,-1,-1,401928,-1,332240,-1,-1,839226,-1,-1,-1,366376,-1,-1,494711,626869,-1,802359,-1,698541,-1,919797,-1,-1,-1,-1,-1,-1,284557,-1,-1,959838,516171,-1,-1,669266,751010,26199,-1,-1,-1,542527,992856,802733,251939,-1,782914,659301,-1,-1,-1,-1,812738,-1,-1,-1,729648,343868,422856,-1,-1,616323,-1,102016,433507,526409,-1,-1,169132,-1,-1,297120,-1,55945,711291,-1,-1,-1,254769,768778,73895,-1,-1,-1,356898,111287,560953,-1,-1,486050,325,639882,779414,-1,-1,288256,225185,936493,-1,743268,-1,973374,-1,-1,307917,-1,-1,-1,-1,31,230054,267245,544573,946412,264633,-1,177388,-1,24073,-1,541937,736031,818610,-1,281642,314580,-1,-1,-1,160807,-1,812684,-1,232928,-1,943393,-1,-1,-1,-1,754064,-1,357445,244258,-1,-1,-1,-1,787544,-1,933650,162340,783680,-1,792535,512802,49519,534181,-1,-1,903802,-1,-1,914093,-1,617491,-1,-1,-1,512361,-1,54417,-1,85504,-1,-1,-1,389181,584494,-1,-1,420955,321665,425932,-1,-1,-1,109610,320990,-1,-1,35458,714980,872804,318603,745503,-1,65695,-1,729505,902814,-1,69474,-1,-1,997464,490345,-1,590567,-1,-1,-1,-1,-1,854802,585067,589676,436106,-1,-1,-1,-1,287245,-1,63252,-1,-1,198966,975914,-1,-1,715287,-1,-1,446613,272303,26664,-1,-1,768971,108843,-1,-1,644509,-1,690003,-1,-1,-1,-1,-1,-1,924162,467975,446931,-1,230584,-1,-1,-1,-1,-1,263160,-1,514579,344500,355310,658933,108458,-1,-1,506473,733075,-1,524463,673481,-1,-1,982955,-1,794393,204297,182721,309135,-1,355385,394823,976590,302636,-1,-1,-1,562105,-1,732543,559273,-1,-1,-1,-1,-1,-1,87139,241070,565930,-1,243027,858510,-1,11682,34415,-1,-1,311686,-1,-1,-1,372465,711324,-1,-1,-1,78758,630352,574826,742948,755007,-1,948765,-1,342834,-1,187980,-1,771173,-1,-1,372069,-1,518510,-1,-1,-1,-1,-1,-1,-1,-1,600970,617828,-1,43848,207115,-1,-1,522001,-1,-1,892150,-1,-1,530799,-1,-1,295826,-1,-1,357364,-1,416806,-1,-1,724591,-1,606691,-1,275467,527201,850455,635293,-1,877608,-1,-1,-1,705887,-1,-1,-1,553992,840595,-1,-1,-1,476419,-1,-1,-1,-1,681399,-1,809889,-1,-1,160583,911119,13460,466778,-1,-1,814499,-1,-1,219430,-1,-1,-1,778522,-1,799416,630147,-1,-1,-1,-1,226974,286891,-1,30881,888257,812466,389528,756848,-1,928481,-1,-1,904960,914384,276564,879899,-1,163851,209820,43856,683581,919913,-1,627100,365935,-1,-1,844653,-1,446027,-1,-1,442186,232989,34419,423704,-1,542964,407203,165133,-1,-1,985329,-1,-1,789013,-1,380614,148308,4055,829243,-1,-1,-1,135281,206491,522997,326570,-1,723414,351608,534089,182560,848262,608633,-1,-1,-1,116764,337145,622097,-1,-1,-1,-1,-1,-1,-1,-1,664720,295952,716584,217518,-1,-1,634138,277775,898225,425549,-1,-1,-1,220021,938649,-1,765964,915039,48783,-1,578753,594285,408305,-1,750552,760873,500061,503100,683491,-1,359151,-1,-1,-1,476126,929709,-1,812116,960330,915839,-1,689070,-1,-1,182152,-1,609144,-1,343350,-1,-1,591669,-1,-1,362246,-1,-1,-1,918886,561181,335071,-1,76230,-1,535088,-1,422994,402370,734079,549909,-1,-1,768849,-1,626204,-1,-1,133854,797299,-1,-1,614969,717904,-1,-1,-1,790790,432673,-1,-1,954852,265848,-1,-1,140394,413123,-1,71861,111222,-1,-1,164829,900126,187577,435449,-1,-1,222836,-1,28069,-1,-1,-1,-1,649137,16083,584774,846223,857024,-1,-1,376199,-1,-1,-1,-1,-1,207057,439467,-1,121881,-1,-1,430937,466264,-1,-1,522385,583021,-1,-1,-1,-1,-1,438269,-1,-1,990310,-1,638650,812577,868860,-1,488470,725616,-1,-1,-1,703521,-1,896533,590038,362494,228528,-1,-1,528836,590986,-1,948539,-1,100598,414835,770575,257331,-1,64718,596011,320707,-1,388801,-1,827550,626148,873839,-1,-1,53670,204841,-1,-1,-1,-1,578186,740582,403623,-1,-1,-1,241803,-1,-1,-1,-1,397541,529127,45833,-1,-1,-1,-1,-1,751079,-1,-1,-1,279177,226345,775053,-1,-1,925791,626335,524254,257750,419792,-1,248808,793222,497376,615745,-1,-1,8208,-1,-1,929748,-1,-1,209384,996198,-1,130252,-1,602171,-1,-1,835988,93770,808267,885813,-1,-1,171347,428155,952002,191698,-1,107818,901793,-1,-1,-1,918543,857192,468747,443619,-1,582633,229652,-1,-1,747880,955896,230275,-1,241587,682315,-1,-1,-1,894479,60062,-1,-1,-1,-1,-1,-1,332898,118591,-1,231186,-1,192417,-1,120513,850386,-1,-1,-1,-1,-1,298446,42746,-1,-1,815705,-1,369463,14259,-1,-1,575826,333509,-1,849134,757307,532450,-1,32894,843443,442156,498209,-1,-1,260277,-1,-1,-1,530087,920301,-1,663950,-1,-1,-1,578435,566987,-1,967495,-1,-1,881350,-1,984214,32770,289640,964668,523605,393014,-1,159412,129187,541349,3795,921585,-1,-1,141234,-1,-1,-1,-1,-1,639685,239413,-1,887468,-1,-1,-1,-1,498298,982083,-1,-1,204756,-1,978305,351434,582918,975684,531320,537691,-1,803490,-1,958886,-1,841548,219612,-1,14489,-1,-1,657653,-1,-1,-1,818581,-1,159848,616724,-1,-1,482746,588650,536232,178347,-1,871069,-1,191247,64348,-1,-1,690230,479395,427520,-1,-1,-1,858410,-1,193725,-1,-1,-1,905828,60327,-1,900209,-1,-1,296689,484601,945823,-1,553175,606301,-1,211425,-1,-1,279112,-1,946026,-1,-1,47468,-1,435647,-1,722866,-1,-1,918470,-1,-1,-1,374746,168698,-1,-1,-1,-1,-1,-1,828842,-1,-1,-1,900889,-1,556269,929099,478187,258374,925614,-1,425581,198698,533656,425284,-1,-1,-1,522470,323064,-1,-1,-1,-1,-1,751834,36813,-1,652782,-1,-1,80093,133535,-1,373036,-1,22157,-1,776289,-1,20358,-1,-1,-1,-1,8539,-1,-1,592806,-1,974379,-1,-1,-1,-1,117026,592345,-1,274570,315345,-1,-1,-1,368343,-1,612387,336766,188785,-1,-1,449794,132068,103554,-1,313743,-1,-1,775328,-1,-1,241961,869310,80214,779186,652643,-1,77228,940598,714916,-1,-1,-1,613960,103926,325381,644991,-1,619333,-1,-1,-1,519381,558103,-1,877927,601038,-1,-1,-1,179919,327317,-1,-1,-1,-1,-1,20700,-1,165858,-1,-1,-1,-1,-1,-1,686830,-1,364489,179936,-1,-1,17692,907481,503651,452674,793968,124233,667654,-1,-1,-1,652746,925953,65367,231422,788241,-1,-1,-1,816606,-1,-1,203025,-1,-1,-1,-1,954743,958960,767373,-1,-1,673484,333903,8742,248323,999517,940628,528482,317758,-1,639808,342048,528436,633007,-1,638139,304105,528203,768803,-1,707680,910170,-1,-1,-1,-1,801319,-1,992526,465754,-1,-1,909497,172666,-1,-1,985640,-1,-1,-1,-1,-1,827034,-1,-1,409637,544305,-1,605701,680521,-1,540983,131142,164530,-1,561543,932675,804663,588048,-1,734345,165009,11269,-1,165586,-1,66985,70163,38865,-1,213986,-1,684766,-1,-1,-1,-1,556151,-1,-1,-1,-1,179889,-1,-1,-1,987362,48130,344806,47208,751604,49940,646003,-1,189704,-1,-1,712434,783283,467152,-1,-1,-1,756914,-1,794583,396924,751483,-1,-1,-1,-1,226003,322564,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,273646,936333,-1,-1,163973,111364,942018,403485,984764,523675,-1,398275,-1,-1,811188,-1,-1,-1,-1,-1,224784,496773,916407,931357,-1,286302,-1,824763,687943,-1,-1,-1,921858,680980,865704,355049,668751,942724,187283,-1,539955,-1,733259,-1,4715,417217,341674,-1,-1,522700,-1,804423,-1,-1,-1,-1,-1,-1,82387,14983,-1,-1,523621,798983,788761,-1,-1,957551,111022,32386,901909,172844,-1,672243,203212,-1,517585,211936,464409,-1,182077,879291,-1,741433,-1,387772,-1,751032,746603,297093,-1,849353,-1,-1,515811,374316,-1,-1,-1,-1,-1,-1,313311,-1,-1,317339,-1,147400,216925,-1,-1,-1,173425,-1,474022,-1,658010,-1,-1,-1,921011,-1,384601,-1,417998,649878,-1,-1,-1,241627,467526,797451,-1,815033,869994,419195,217743,458045,298860,30631,698219,854847,2473,-1,-1,-1,451270,763943,-1,-1,-1,-1,721301,-1,-1,220276,778801,-1,-1,195947,642156,-1,853378,-1,-1,-1,878017,-1,-1,-1,702246,528697,-1,-1,-1,766907,104372,859208,819566,256916,-1,-1,-1,737344,-1,188378,742886,-1,306237,42007,557810,-1,821047,-1,841107,-1,-1,-1,-1,628873,803192,-1,-1,264704,474530,-1,-1,-1,403869,68216,-1,651209,180179,965988,-1,-1,-1,9489,883686,528532,375821,14967,-1,-1,807249,-1,-1,582829,616446,-1,-1,725133,819967,139498,-1,844514,803880,-1,-1,625571,-1,269968,89542,798496,858110,845949,225769,915288,277590,-1,708610,215010,14429,828556,-1,-1,344370,-1,168860,-1,-1,552848,817008,589650,103792,836147,-1,673707,695667,702069,-1,-1,101597,-1,350659,-1,153006,821989,744576,-1,-1,176993,-1,959112,24140,835313,556678,-1,332578,-1,-1,-1,53169,563690,-1,-1,476889,-1,-1,-1,168985,824067,-1,-1,268222,373904,181592,341297,-1,-1,-1,-1,284538,792636,-1,251627,-1,761334,-1,-1,504165,511775,846670,30043,-1,-1,-1,-1,469185,440662,458859,961331,988822,-1,-1,-1,-1,401558,973562,-1,731460,576825,-1,-1,535673,252042,477394,883764,-1,86914,-1,159877,620995,-1,223110,210113,829406,549119,564794,349951,-1,-1,965153,816232,-1,-1,435198,699026,897952,-1,496574,-1,-1,-1,260585,-1,-1,-1,147543,-1,-1,-1,-1,453865,-1,-1,-1,423331,-1,-1,-1,950291,-1,925105,792493,-1,21800,759495,143842,909275,996784,649675,568563,-1,-1,645435,725005,803872,-1,150155,-1,144376,-1,240366,-1,463981,-1,-1,200620,715401,224387,-1,-1,-1,-1,-1,245806,-1,-1,-1,452131,-1,891478,-1,507531,239534,-1,-1,835247,244912,349484,486221,537228,-1,-1,229287,-1,686048,428757,-1,179702,190277,530854,583100,794189,-1,554742,-1,-1,435801,-1,314888,-1,-1,698553,-1,533212,-1,-1,693564,-1,-1,-1,-1,-1,562706,141446,-1,-1,492912,354589,614937,-1,36985,576348,380736,-1,609903,-1,-1,-1,960021,772449,520567,255509,-1,280211,419239,915390,57354,-1,217009,-1,150322,336499,-1,-1,838494,61096,134995,-1,155094,224964,757239,825105,-1,310125,-1,-1,-1,-1,-1,290811,-1,-1,-1,172470,400015,96695,-1,-1,-1,537300,567691,-1,-1,599136,-1,-1,34107,-1,982684,942895,554405,-1,-1,423907,-1,-1,802215,173827,-1,512901,-1,-1,-1,86347,920404,367317,641902,-1,-1,-1,-1,632981,968176,291374,899020,62545,-1,-1,-1,740852,-1,-1,528707,-1,9703,-1,481395,147871,511171,73287,88738,-1,-1,636207,-1,848736,792499,122051,721004,-1,591555,-1,485756,-1,-1,-1,180218,-1,-1,532511,-1,288092,-1,-1,-1,394913,851939,-1,26237,653608,101700,-1,-1,-1,59873,-1,632718,342118,166541,-1,916112,-1,-1,370375,-1,107409,-1,775980,545447,574595,-1,853016,-1,590336,-1,-1,158010,713911,97250,745831,-1,580399,599413,182423,-1,-1,-1,935464,321879,-1,-1,931026,156054,-1,-1,-1,853906,951423,-1,345047,405661,520018,-1,-1,-1,-1,478946,457116,-1,-1,407333,-1,-1,-1,-1,-1,-1,302778,338078,-1,-1,527217,-1,181573,779079,709190,280418,-1,488322,833556,-1,-1,-1,-1,-1,-1,-1,-1,401771,586117,206780,-1,-1,26239,-1,-1,-1,-1,-1,812978,-1,218345,945608,-1,-1,59353,597608,-1,-1,494253,-1,-1,714197,498404,-1,245960,433588,493611,149055,874400,-1,689318,-1,198316,25249,-1,907352,-1,-1,-1,552585,784952,-1,102052,162643,228752,471099,797189,-1,-1,-1,-1,-1,-1,-1,151758,290821,-1,138425,-1,368019,597352,416953,-1,-1,-1,-1,-1,-1,931204,-1,-1,-1,544033,809603,510947,-1,-1,-1,-1,-1,872592,-1,-1,391871,440330,-1,-1,-1,-1,-1,129224,353489,545767,-1,-1,931764,305472,-1,-1,-1,-1,-1,-1,-1,69449,962860,364906,-1,317999,164628,-1,-1,-1,792504,-1,-1,-1,-1,-1,622567,453681,495902,126310,-1,-1,146973,-1,593066,852584,811438,416654,533819,521921,-1,-1,389754,-1,212198,175999,-1,-1,-1,-1,-1,-1,399735,44873,-1,15041,905575,549889,3916,368604,335386,151726,-1,488337,-1,768750,724464,27933,-1,507565,-1,445904,20782,-1,-1,-1,124108,-1,-1,521635,-1,131443,914102,824535,573850,167064,227393,-1,-1,-1,345946,-1,961179,717371,606734,853226,212347,-1,-1,710237,33577,-1,-1,-1,-1,91466,-1,165869,-1,264731,-1,853388,772728,635569,-1,575243,568691,332674,210807,466969,-1,-1,-1,774117,675823,218208,409108,-1,139482,-1,449808,998014,121172,652250,412712,539748,769035,437415,500819,202923,-1,-1,-1,-1,740415,-1,106235,-1,-1,595847,-1,822128,753490,145894,-1,-1,336276,954923,-1,852267,533431,512258,-1,238003,-1,678658,-1,173522,791201,703938,849047,131150,909080,-1,-1,823557,-1,502001,596149,-1,-1,-1,-1,420763,855096,-1,-1,617047,-1,631224,-1,623185,682663,735792,-1,-1,-1,-1,826070,-1,567593,-1,980907,230841,-1,-1,-1,222335,-1,-1,-1,541139,233965,302572,-1,919733,133024,-1,740018,-1,616605,-1,716189,398912,-1,-1,-1,-1,178855,-1,756435,-1,-1,-1,322440,-1,-1,-1,-1,622445,-1,750313,885763,-1,-1,-1,377619,739592,-1,934803,131941,964129,280469,-1,-1,427254,-1,-1,813896,225493,-1,-1,422936,859281,-1,-1,792556,32935,52961,-1,712215,-1,626867,752639,573025,501119,898074,888165,387169,87765,-1,-1,-1,450169,-1,-1,-1,-1,-1,121253,222830,522257,544852,-1,-1,-1,130486,74125,395082,993743,942988,-1,-1,-1,154358,-1,280915,-1,279421,271158,683484,-1,-1,937700,-1,-1,-1,260937,126773,-1,-1,-1,-1,-1,-1,476735,-1,-1,-1,-1,971665,149910,466815,-1,-1,53999,130367,687749,698122,-1,653122,580501,-1,599994,540343,820868,-1,-1,-1,847430,454612,856837,-1,244750,-1,-1,902519,-1,-1,545927,80943,132711,-1,-1,-1,831774,663017,96152,584285,-1,448283,911426,-1,632785,109428,142893,996774,629969,806120,-1,-1,536918,-1,236196,-1,830590,687229,682488,353303,500564,-1,-1,-1,367774,553894,-1,2230,-1,-1,168653,846205,-1,-1,376637,-1,520107,-1,616002,-1,-1,812136,285136,60450,-1,-1,788240,-1,-1,-1,-1,-1,-1,207651,-1,-1,727442,812862,-1,-1,-1,528445,-1,145596,838445,401281,798311,300053,200310,143777,-1,521472,-1,-1,128267,813298,707368,913707,491569,476303,34508,-1,509795,-1,-1,935457,64365,586733,597159,-1,-1,894321,803592,474626,359718,-1,734959,-1,-1,-1,-1,847510,836412,-1,-1,94065,-1,225337,611189,-1,-1,-1,-1,-1,-1,-1,34224,-1,-1,-1,-1,249748,386038,-1,636108,-1,5690,904088,10427,-1,968905,815177,-1,-1,-1,-1,-1,-1,-1,-1,419685,986770,878516,-1,-1,456920,-1,-1,-1,973805,704673,65802,-1,-1,-1,-1,-1,-1,866956,-1,-1,-1,-1,-1,-1,56562,-1,3011,-1,-1,-1,334895,-1,717092,829811,-1,417861,-1,-1,-1,884067,172485,407214,-1,551017,240258,773917,531570,716114,20084,10734,-1,646016,413318,642622,-1,-1,999736,70790,-1,-1,-1,-1,-1,331034,-1,273532,-1,720576,-1,-1,-1,-1,564937,-1,551716,562691,-1,974410,346946,769039,-1,906056,-1,37600,977796,-1,364661,228460,551711,-1,188365,-1,-1,501883,430223,-1,602039,35997,-1,-1,-1,-1,-1,-1,422383,-1,415462,-1,-1,-1,76491,-1,50111,-1,348238,93916,-1,531330,-1,944580,-1,-1,-1,-1,-1,920459,670093,-1,-1,-1,-1,977235,713751,653830,-1,721731,128056,-1,199033,-1,-1,930208,-1,928382,200096,176967,-1,-1,-1,-1,875566,491831,-1,783267,-1,817397,-1,865968,-1,-1,-1,-1,186773,461423,394368,943182,59753,-1,748267,716127,546153,-1,909864,-1,568957,-1,536488,380158,915885,-1,-1,-1,481458,240378,617103,-1,-1,-1,-1,-1,37552,-1,-1,592886,-1,-1,-1,976534,27047,-1,-1,-1,101638,-1,-1,944451,-1,360921,614739,923552,-1,-1,-1,-1,591730,-1,446792,149435,-1,780375,-1,18209,-1,545253,-1,-1,477440,-1,723821,189728,-1,-1,-1,-1,-1,-1,-1,-1,-1,904396,-1,-1,921883,-1,-1,458741,-1,-1,931949,4471,-1,987580,160027,669675,-1,663181,923185,-1,-1,-1,406468,983309,299314,-1,445774,566575,-1,884173,908827,-1,-1,-1,-1,148370,-1,-1,80984,-1,435041,-1,115151,-1,-1,-1,-1,-1,-1,52411,-1,523788,575108,678051,-1,-1,-1,115365,947107,-1,-1,351580,-1,11398,-1,309513,-1,-1,487759,-1,939378,-1,-1,-1,-1,732357,469057,736978,764653,140758,-1,40435,342836,31981,-1,-1,-1,720600,-1,839542,495144,-1,-1,57504,-1,813165,705606,-1,-1,-1,-1,-1,-1,-1,764052,-1,117144,473660,6613,-1,263621,114937,-1,615800,-1,-1,-1,-1,845593,-1,-1,-1,-1,-1,431450,-1,-1,335850,763024,-1,-1,54109,144402,-1,922792,299462,475568,466001,-1,524015,669467,-1,452625,621081,256867,43212,327850,-1,-1,-1,549462,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,559569,-1,299293,-1,589662,-1,-1,-1,-1,-1,-1,-1,-1,207468,429343,722112,-1,635328,871469,833015,-1,482201,820807,-1,158681,-1,532535,-1,-1,20020,-1,-1,145208,-1,655391,534393,386636,168791,-1,177952,-1,-1,116432,-1,46514,333556,933454,-1,-1,-1,242417,-1,-1,-1,160210,870181,712321,903159,264930,920903,612843,-1,599822,67985,-1,-1,52490,831361,242671,-1,936550,165156,-1,-1,-1,-1,-1,393463,369273,350485,-1,-1,-1,-1,-1,-1,-1,-1,847580,-1,-1,-1,-1,-1,968835,994285,-1,47669,-1,-1,-1,782967,-1,637948,-1,870778,-1,943479,478396,-1,765972,-1,959260,-1,135910,-1,41880,829469,891049,375173,707459,691373,618235,303397,857599,441636,-1,515439,524476,-1,-1,193350,81587,658106,-1,575792,-1,77767,115440,192580,-1,445107,34358,-1,-1,83195,-1,270577,640519,-1,-1,636409,262473,568517,743998,-1,640265,-1,-1,84302,683454,-1,-1,-1,576778,418462,403700,-1,483167,-1,335886,810502,881738,465524,996769,988496,702887,372857,-1,4711,-1,930297,-1,-1,-1,530140,-1,48774,-1,772015,221799,-1,-1,-1,817762,-1,859189,-1,416574,170919,258847,-1,445513,804368,-1,820251,-1,-1,217618,949432,416509,505850,-1,-1,-1,-1,-1,-1,318398,-1,-1,553297,-1,-1,-1,-1,624578,80861,414483,857871,173249,87804,334574,141562,430164,389531,-1,186336,700948,-1,267001,85746,106742,936771,-1,-1,698215,123450,-1,-1,-1,-1,-1,751720,-1,-1,484111,-1,147622,-1,734509,840089,-1,358974,591954,323515,248077,269729,-1,922948,-1,-1,302827,935455,238288,485626,861606,685855,336354,-1,-1,-1,-1,871304,-1,-1,-1,519020,264653,-1,441632,61112,300817,908356,-1,239728,-1,-1,-1,-1,-1,-1,364040,692229,-1,361135,184462,-1,-1,840506,84750,34710,266649,-1,226855,-1,-1,-1,-1,192157,-1,-1,553649,-1,435138,952565,-1,210625,455724,45732,976435,802639,-1,356199,672256,-1,-1,950729,-1,-1,194924,571532,-1,-1,937726,430193,-1,-1,-1,701038,-1,-1,716098,-1,987062,-1,741619,172110,89963,698001,-1,-1,-1,-1,59853,212184,300502,104237,495159,101585,-1,278496,-1,305299,169326,768253,-1,-1,552341,714292,104614,-1,315861,-1,-1,-1,149715,-1,150770,-1,-1,-1,-1,-1,839877,342693,-1,-1,-1,131869,248442,424593,-1,-1,130905,-1,59084,139696,-1,-1,-1,-1,-1,400732,310434,-1,439605,104129,-1,-1,-1,915115,-1,-1,-1,995606,118374,611050,-1,672387,382645,-1,246789,446910,712781,-1,-1,864611,-1,890327,914470,264451,-1,571841,-1,765292,591252,-1,-1,-1,185340,-1,448538,900314,641281,435584,-1,-1,-1,-1,819692,835559,143540,175010,394928,281926,-1,-1,682430,320089,725021,623166,122532,465357,824133,-1,219254,-1,821875,-1,703991,-1,266651,936417,428184,-1,919411,948680,311599,-1,272395,-1,-1,456484,462162,612797,346382,-1,642716,883071,851441,957821,899856,134540,611240,-1,-1,629095,182636,265511,312171,491188,-1,-1,-1,-1,422150,-1,646634,106308,792604,-1,555567,428574,742039,-1,680487,534833,-1,-1,890268,-1,-1,-1,379536,338562,726652,-1,816637,-1,-1,618161,-1,106220,825752,745570,-1,728558,74225,-1,628463,-1,-1,-1,-1,-1,-1,-1,648769,438810,-1,764070,-1,-1,-1,-1,77782,-1,986411,154964,-1,-1,-1,-1,144104,-1,-1,414180,-1,217003,171555,-1,106336,894701,-1,-1,-1,-1,-1,-1,632944,471458,117936,-1,-1,562176,433972,-1,224506,-1,10293,-1,-1,795684,483649,272066,488311,-1,-1,-1,-1,166049,475393,-1,-1,479993,-1,-1,-1,818446,395229,413312,258128,-1,21648,766270,560603,-1,614859,-1,-1,359888,871332,-1,-1,-1,-1,-1,947099,895610,653971,-1,370408,-1,484597,461342,-1,-1,873536,355838,56398,386455,752817,827007,-1,-1,893695,-1,803649,-1,630304,737325,838973,35612,840058,-1,696022,719056,-1,-1,-1,-1,-1,602473,-1,895126,371082,291296,-1,-1,-1,7020,-1,-1,-1,223114,254242,-1,276234,-1,795841,-1,359679,-1,794208,-1,-1,-1,579723,-1,962808,804399,-1,-1,637792,777829,-1,925003,315962,-1,685079,-1,55647,-1,53908,254441,-1,-1,-1,-1,-1,767563,-1,-1,631950,812145,-1,198723,764012,-1,385816,570806,300391,137780,-1,200014,162072,-1,205221,-1,901192,-1,560293,332215,-1,-1,-1,-1,-1,-1,-1,42895,619409,-1,-1,-1,80620,-1,134426,-1,828954,-1,672643,669127,-1,502062,-1,-1,823992,116786,510488,-1,-1,-1,-1,-1,-1,879242,-1,182957,-1,-1,698709,323972,-1,903373,-1,-1,-1,255702,-1,-1,-1,659814,67344,-1,685550,-1,877018,997642,-1,550300,-1,395227,129355,-1,312833,-1,678029,-1,-1,672176,63735,665236,-1,-1,528251,-1,-1,823530,-1,486608,-1,423424,-1,-1,278260,955924,-1,-1,377225,647334,-1,-1,693209,419241,-1,750093,-1,-1,855794,-1,-1,-1,-1,-1,-1,-1,-1,260012,648216,-1,355964,782748,-1,153493,417308,-1,-1,739504,926985,411811,-1,-1,-1,589543,309838,-1,862221,-1,-1,-1,449266,754659,964276,896151,-1,-1,-1,-1,420820,983011,813003,-1,-1,-1,567788,-1,-1,-1,527937,366361,-1,-1,-1,-1,911128,466742,-1,46189,-1,-1,-1,-1,-1,159574,-1,576061,385731,-1,930001,157336,980493,811613,-1,59355,-1,27474,-1,-1,-1,215973,-1,-1,-1,424002,592009,-1,442212,-1,-1,971005,-1,896622,635534,516967,-1,-1,-1,934425,-1,-1,226951,17316,-1,53819,408921,175235,233973,676242,65708,-1,-1,310387,516666,-1,-1,365418,-1,-1,-1,-1,-1,-1,857630,-1,-1,470450,-1,833670,927729,-1,-1,312426,850416,866296,-1,313175,-1,217906,-1,691985,334911,508996,626699,-1,104479,-1,-1,905947,-1,-1,-1,-1,-1,-1,-1,576574,607463,-1,-1,-1,-1,-1,-1,522670,-1,-1,-1,919505,-1,-1,275517,-1,-1,645991,-1,368086,-1,-1,-1,854873,-1,-1,-1,972082,-1,269226,-1,621628,-1,-1,-1,-1,47627,-1,-1,907298,-1,-1,-1,673300,700796,747394,-1,672122,-1,-1,-1,-1,-1,-1,-1,223877,190684,487563,160800,-1,668971,-1,-1,-1,840237,604417,-1,-1,976130,378894,152353,-1,698545,-1,751583,-1,306030,776773,50830,594987,-1,-1,-1,883278,687815,-1,648122,267287,285330,591311,-1,-1,-1,-1,107259,591035,-1,533289,175814,877797,770173,-1,389954,243937,520168,-1,-1,864136,598263,145615,-1,-1,-1,-1,-1,8451,76743,128305,592542,-1,196544,657803,137407,317136,-1,-1,990990,-1,-1,-1,39160,888985,746817,-1,-1,218718,-1,-1,570369,-1,-1,-1,-1,449518,454543,503779,-1,595225,-1,-1,487705,-1,-1,220152,565687,108163,973705,-1,203346,592291,-1,-1,764293,931019,-1,-1,-1,-1,370944,851519,224572,15872,777592,163735,537222,236773,-1,-1,-1,-1,450181,540449,-1,142679,-1,-1,242091,540204,233684,477625,72308,7536,325846,679996,516445,816506,-1,281747,369071,179479,441794,222378,345227,820754,-1,-1,-1,491943,116165,947050,366645,12249,-1,203865,-1,482823,-1,-1,278539,418436,-1,165616,288914,-1,-1,-1,-1,-1,765387,945474,-1,-1,466845,94463,452941,700153,-1,379209,-1,641954,356754,-1,944903,-1,274272,-1,100512,514062,-1,-1,-1,552790,-1,114680,39036,754631,-1,353628,286859,625767,-1,499684,160765,924001,-1,-1,-1,-1,98387,-1,366817,367883,646552,-1,7948,-1,825375,-1,-1,810791,417179,548209,-1,597272,409722,-1,382026,138745,184325,670791,914074,656094,-1,-1,786632,-1,-1,465671,387848,272513,552884,-1,722892,545273,-1,-1,64452,526140,548857,-1,657684,469773,525428,385050,145235,-1,-1,757591,39462,-1,65037,-1,-1,860490,998638,880911,-1,565169,-1,-1,198619,823176,420839,-1,-1,-1,373628,-1,595834,648529,575635,-1,628308,693376,-1,882197,396726,-1,-1,899146,897369,887446,507276,-1,-1,-1,-1,-1,677206,456072,289488,-1,543691,-1,-1,-1,645844,-1,798448,-1,-1,823045,635913,-1,485003,-1,-1,882801,-1,889045,897630,-1,-1,438026,387048,818148,-1,-1,745968,583551,922605,841713,815986,901698,38229,-1,-1,-1,-1,156807,-1,138825,549128,917192,-1,443516,-1,-1,225355,-1,-1,-1,9839,223073,880705,933865,-1,-1,-1,-1,715687,-1,280810,6005,618255,-1,-1,557019,641527,37560,-1,644274,-1,678811,-1,-1,984288,-1,-1,-1,141394,-1,818295,655488,845846,297760,-1,148718,-1,-1,-1,448537,33403,479962,-1,-1,-1,-1,892569,494887,55429,-1,942591,-1,69841,-1,-1,-1,516464,-1,-1,-1,-1,-1,793891,467992,411337,303681,-1,903579,887864,453534,-1,-1,633195,42655,27115,-1,-1,748553,-1,253637,216128,796416,671663,601128,-1,-1,632788,459801,905208,-1,853401,-1,374599,-1,718080,780752,670874,34240,-1,461579,-1,-1,599003,-1,-1,821348,-1,-1,538300,571704,-1,259822,264844,-1,-1,988948,-1,-1,291040,-1,-1,936483,-1,-1,-1,709289,551119,-1,-1,750541,256761,61015,-1,313425,194697,-1,-1,-1,238300,-1,569669,982620,-1,-1,545728,70476,379950,573123,530144,380267,-1,-1,776777,-1,920236,-1,285082,724514,-1,-1,719950,242178,-1,-1,251346,343411,-1,208152,39398,198308,111878,-1,-1,-1,992768,858530,599152,-1,-1,-1,426457,528807,-1,313091,-1,177847,-1,378834,-1,-1,46722,-1,-1,-1,-1,216593,-1,94077,-1,149650,561923,-1,-1,-1,-1,18986,-1,-1,84042,777865,-1,-1,-1,528962,7417,269701,-1,-1,-1,-1,-1,-1,-1,-1,874657,-1,-1,387324,943110,714641,-1,89923,603226,629786,-1,-1,-1,644384,-1,969682,-1,-1,-1,-1,755643,-1,325561,-1,-1,-1,959141,-1,47123,-1,164942,-1,-1,-1,430423,352102,-1,988095,665340,-1,-1,571101,-1,336267,761133,-1,-1,-1,246176,-1,417766,-1,-1,681179,969742,928298,-1,-1,840802,-1,475284,-1,202899,-1,-1,888766,-1,332761,-1,782876,204172,-1,-1,355428,-1,257809,-1,263216,-1,-1,228916,224948,219271,38806,27201,-1,-1,619260,-1,-1,-1,267461,-1,-1,110439,-1,-1,275182,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,409400,-1,300808,-1,-1,94333,973292,590582,-1,699498,-1,-1,425248,693053,977380,-1,-1,266324,187909,-1,118611,-1,-1,716776,-1,-1,-1,709284,105553,234240,-1,-1,944956,981985,-1,638510,-1,-1,314828,-1,772886,998819,-1,674838,820332,509429,393901,-1,158652,772266,-1,48985,774523,696610,-1,388181,907020,-1,717711,160277,799926,881405,-1,-1,16752,-1,516308,-1,-1,-1,-1,352757,-1,123642,894099,-1,-1,-1,146782,-1,-1,255070,353834,-1,236898,206511,-1,261660,293478,87743,274316,-1,14613,-1,376162,260129,510431,237552,795418,-1,-1,-1,591977,457576,-1,-1,-1,-1,-1,550375,954577,-1,401515,567030,-1,677762,786314,950636,-1,697001,462207,423589,-1,738049,-1,686488,-1,24567,-1,-1,998074,-1,-1,955199,48377,196121,128052,-1,-1,-1,-1,192135,870361,908066,-1,511722,580094,562459,-1,343615,93793,-1,-1,-1,379272,-1,-1,-1,146035,-1,-1,958611,-1,-1,-1,841818,44364,-1,-1,-1,494495,-1,-1,101172,857755,775108,611913,-1,-1,328767,-1,-1,-1,-1,-1,-1,-1,-1,279883,887062,-1,-1,331130,-1,-1,-1,-1,119089,88103,-1,-1,777123,886542,-1,312030,-1,-1,-1,-1,353097,-1,262907,-1,-1,-1,674118,-1,-1,-1,-1,366926,364228,-1,505757,802434,-1,-1,552500,-1,-1,-1,-1,-1,-1,-1,889757,-1,497315,622522,164798,826652,-1,15045,-1,-1,28328,-1,-1,414237,-1,709083,559764,-1,163801,-1,568522,242957,747095,510818,949342,-1,246687,857530,790992,233558,66755,-1,-1,-1,679645,696316,-1,-1,229802,-1,-1,-1,458545,166281,-1,304382,939035,270858,381794,283410,-1,169803,-1,-1,934992,404,-1,-1,753786,548542,-1,730916,-1,-1,51038,-1,496373,-1,145078,-1,-1,630247,-1,261247,923814,734278,-1,-1,-1,-1,745556,-1,227954,194610,-1,619195,-1,-1,188969,-1,-1,987746,316563,990260,-1,807348,-1,-1,225785,358087,306840,485736,919169,270114,52061,19926,-1,-1,470043,-1,-1,-1,-1,21235,162278,455336,-1,-1,744957,-1,230858,-1,2464,518220,970061,-1,-1,748664,-1,-1,-1,76605,905013,187743,-1,315844,-1,944737,-1,-1,618983,3557,427293,-1,629626,-1,26903,236254,-1,654395,-1,-1,535708,942772,-1,-1,748929,-1,-1,-1,158868,315013,-1,52549,955783,522172,-1,379983,741200,76344,606724,-1,62159,-1,180210,2701,996113,-1,-1,901613,-1,-1,-1,-1,-1,-1,329930,-1,311445,639082,-1,440039,-1,33267,-1,-1,-1,386020,653959,-1,741850,-1,545559,157316,-1,722069,-1,-1,-1,-1,361752,744757,39314,-1,-1,590660,534120,596010,-1,-1,-1,832995,-1,831664,318559,959634,156252,-1,640493,594156,-1,-1,232238,-1,133518,-1,-1,842583,-1,843842,-1,-1,458601,146324,-1,627310,-1,695842,-1,970673,-1,90845,434901,576860,960778,663821,983161,-1,-1,-1,772451,-1,-1,-1,-1,664004,-1,307169,326768,-1,362946,758987,-1,677008,132877,-1,-1,840239,828594,-1,-1,425828,-1,788329,-1,260960,-1,-1,106306,-1,663085,919280,251774,203629,-1,-1,214673,687140,-1,-1,777665,-1,-1,-1,108325,327718,699488,185010,977660,223741,335551,-1,311739,439534,-1,175337,-1,906279,129249,563720,809722,857888,47973,-1,-1,540148,217396,-1,780908,459456,-1,849360,552676,-1,-1,769736,723548,967878,334861,-1,335703,219702,-1,-1,519806,855855,483784,-1,549627,-1,-1,470421,-1,543119,-1,-1,-1,986912,-1,-1,-1,773097,793590,740167,350401,289805,-1,-1,-1,500001,-1,635560,211512,903380,-1,-1,-1,373919,788218,80550,437334,70916,-1,352990,-1,375666,-1,84569,734791,912269,-1,752689,-1,353661,241027,-1,-1,-1,-1,-1,926090,-1,500737,-1,-1,-1,513832,226344,425320,-1,-1,73025,879513,-1,889232,912754,874005,153718,-1,-1,-1,612434,649468,215477,-1,-1,-1,-1,886374,-1,494562,133096,-1,861087,445906,652317,-1,-1,617732,281963,857643,-1,-1,995248,-1,-1,-1,967241,-1,-1,-1,523710,-1,429585,597855,79921,874772,-1,-1,-1,-1,521618,-1,778469,56918,-1,-1,-1,-1,-1,-1,-1,832624,-1,671319,975660,-1,-1,-1,-1,2885,-1,982632,-1,-1,-1,226222,-1,712269,-1,-1,56705,25558,421684,-1,-1,180170,925931,564356,943503,-1,-1,920602,-1,-1,748023,-1,329271,-1,558195,-1,180787,-1,-1,-1,682188,637575,495793,-1,461663,-1,65533,814458,216361,-1,104858,197997,321774,105519,-1,-1,717187,788057,702311,-1,273445,-1,428168,-1,-1,48255,-1,-1,-1,94215,-1,-1,-1,-1,735272,460622,484147,460689,511493,-1,-1,-1,688931,-1,826150,581199,-1,-1,827872,-1,882988,231206,-1,-1,-1,94543,762711,-1,221151,-1,110368,-1,-1,-1,-1,-1,616791,599823,-1,-1,-1,439133,-1,37543,223565,53437,-1,-1,-1,990277,684401,600895,-1,55507,523785,456568,-1,-1,968680,-1,791405,971865,755533,-1,195127,581717,-1,104343,134774,139035,-1,-1,264148,157732,-1,235757,195860,547745,-1,617849,-1,-1,679621,-1,-1,263766,-1,705884,444193,-1,251752,783015,-1,427833,1083,-1,-1,529867,-1,206095,-1,344273,284405,772261,-1,-1,-1,-1,-1,-1,754376,-1,-1,314254,93533,800030,-1,501370,79862,-1,970608,-1,320263,631431,988557,-1,-1,-1,-1,-1,410851,953716,-1,-1,-1,-1,-1,-1,903829,75104,197833,271902,314043,914015,700801,-1,248800,-1,-1,-1,221255,381107,-1,-1,-1,-1,23677,-1,-1,-1,374807,400209,-1,-1,704147,526336,-1,-1,991364,586834,809594,657483,-1,-1,628520,414923,-1,-1,-1,766944,130816,-1,786478,-1,119639,449532,-1,-1,-1,680215,969406,12674,-1,-1,93,699089,-1,-1,-1,736400,154191,764333,361518,812753,-1,-1,-1,-1,927019,788526,790202,-1,640728,608774,-1,-1,360558,-1,-1,-1,-1,235278,176716,868445,-1,407295,888880,-1,996884,-1,560962,-1,-1,640947,-1,206593,170058,-1,-1,-1,304654,-1,289682,918174,-1,-1,397000,792743,261676,624443,499191,-1,-1,939269,-1,-1,-1,132510,146139,39957,737783,204392,812728,130814,814710,-1,-1,893349,-1,617000,-1,11867,370243,429678,212653,-1,-1,239107,455382,-1,-1,749559,794766,988826,986684,693026,296928,-1,-1,809060,102371,-1,-1,614651,196650,186848,-1,-1,-1,-1,-1,-1,267577,150498,-1,-1,399534,-1,49526,-1,-1,728651,-1,219611,373974,886252,-1,522424,562087,-1,723689,302023,-1,-1,-1,-1,260490,-1,-1,524511,278683,-1,194225,101199,428635,101129,-1,-1,-1,-1,927041,741938,397944,-1,937756,860123,504944,242292,-1,-1,457713,785698,420086,941645,132628,167590,-1,584859,-1,-1,880536,833467,-1,-1,-1,-1,2669,-1,300961,382480,-1,511318,-1,-1,287683,940542,523738,-1,-1,968324,-1,-1,-1,-1,-1,525977,-1,50417,-1,341389,-1,63973,-1,855425,474727,207972,477074,228558,309075,906063,834722,-1,-1,-1,-1,390048,954901,-1,-1,-1,-1,477780,-1,397948,367545,-1,329118,-1,544095,24176,-1,-1,55571,249221,127249,-1,787476,-1,-1,764253,-1,-1,274086,-1,706281,753437,-1,-1,518046,-1,570145,966252,39592,-1,-1,-1,4050,-1,-1,-1,-1,-1,180971,-1,-1,-1,-1,353510,-1,401561,-1,-1,431103,-1,829424,-1,45425,-1,267163,-1,-1,910562,-1,361355,-1,211912,213561,293388,781475,-1,597538,-1,212896,-1,-1,780823,-1,-1,-1,630099,55861,767889,642639,347102,66253,16192,946198,-1,-1,-1,776359,-1,-1,-1,981849,-1,565719,949269,217752,265633,-1,795701,-1,-1,420655,-1,20163,-1,663432,-1,-1,-1,749229,4655,499827,946062,345818,-1,-1,-1,-1,-1,-1,-1,-1,825077,752711,-1,-1,498865,512395,-1,-1,472128,-1,-1,151191,-1,-1,-1,684025,-1,-1,148883,441199,-1,572991,7793,578665,-1,-1,-1,-1,412202,-1,-1,322540,488573,-1,-1,698431,130162,28363,403008,17648,-1,-1,-1,175326,-1,-1,757211,375267,-1,301470,423004,-1,-1,-1,933115,319819,34345,-1,-1,-1,-1,494193,22194,-1,-1,-1,-1,-1,109852,-1,764529,-1,684146,-1,846396,-1,523490,967021,554684,222522,-1,-1,452767,-1,306064,473175,992238,-1,292836,-1,618159,-1,-1,641470,-1,-1,-1,-1,-1,424772,-1,-1,14244,622918,-1,-1,-1,-1,252758,787057,578890,-1,267765,662416,-1,186539,642623,-1,902334,97856,220658,-1,-1,-1,729087,-1,661720,160361,-1,354819,-1,841646,-1,-1,900511,-1,-1,-1,-1,623410,-1,850813,996138,-1,-1,-1,-1,-1,-1,-1,700530,-1,662576,-1,-1,262550,-1,-1,218031,743281,-1,865725,-1,856823,662550,-1,-1,-1,356342,523994,-1,886139,-1,-1,-1,977405,787829,194866,-1,346130,282345,-1,-1,41856,67228,-1,-1,-1,658379,-1,723730,394843,293267,-1,-1,-1,797021,-1,-1,222211,284265,296956,979869,-1,355575,-1,-1,343408,931485,5441,778464,738834,184868,-1,-1,353631,875774,279834,-1,-1,765079,605862,-1,193266,-1,-1,426543,-1,-1,646274,42204,793224,-1,334751,826502,221179,-1,893569,506390,758890,347467,-1,-1,-1,-1,-1,392401,193275,977450,-1,411350,139246,972061,-1,442597,483887,-1,500337,-1,-1,-1,-1,-1,-1,-1,627659,-1,436628,-1,-1,42434,-1,840319,714567,696220,385960,295471,-1,-1,-1,-1,-1,-1,-1,968734,-1,-1,-1,-1,217118,16979,335537,-1,941196,-1,169589,-1,-1,101467,-1,148891,-1,-1,742071,-1,16207,516439,18003,-1,915264,991658,-1,-1,-1,-1,535966,101175,807759,357506,772218,-1,-1,-1,-1,571432,-1,303699,-1,673366,302633,795646,711724,-1,307912,-1,303377,-1,-1,685172,186372,-1,302822,741809,-1,238578,-1,-1,-1,-1,952214,-1,194630,-1,15053,359411,-1,-1,962801,753077,-1,908179,-1,876015,873615,178480,-1,-1,886057,-1,907633,-1,-1,363144,835606,-1,583832,6422,670880,481962,328608,276596,-1,-1,998368,759231,43241,-1,695167,888922,95729,289056,737541,909800,-1,-1,56696,-1,335602,-1,-1,337663,-1,-1,-1,280007,696353,-1,-1,-1,30605,215131,697110,577935,-1,722426,31844,410445,280043,75015,665118,-1,396803,-1,-1,-1,278520,-1,351973,-1,-1,-1,749302,-1,864898,-1,-1,-1,-1,-1,-1,609490,-1,841054,-1,-1,-1,437542,764866,-1,-1,-1,-1,59483,619543,628614,-1,-1,818187,45846,-1,5486,-1,356905,788153,-1,547566,-1,621271,793330,-1,703922,182482,-1,-1,753450,-1,-1,-1,773008,727815,527714,852710,485444,-1,493287,-1,27959,628840,-1,645665,-1,400701,-1,536534,-1,460070,330669,151727,277797,542267,-1,-1,-1,-1,962013,703666,-1,-1,-1,-1,602886,-1,797849,370516,-1,961511,-1,259671,-1,-1,-1,312304,-1,-1,-1,155386,100242,-1,702677,-1,311846,525776,-1,367257,-1,97385,-1,-1,-1,-1,-1,655773,-1,-1,792887,-1,140852,123383,400740,-1,-1,191903,5575,-1,-1,-1,111582,-1,314298,-1,487435,113644,-1,698297,509063,-1,-1,-1,-1,-1,-1,250540,-1,234840,243109,285175,58439,-1,178868,285516,192504,-1,-1,7720,749263,972289,-1,-1,944911,-1,119436,-1,481106,439015,-1,-1,-1,-1,629332,-1,-1,811417,-1,740568,174076,-1,248677,400007,-1,382009,687223,128486,905823,931500,1375,-1,18362,190148,-1,-1,55247,-1,-1,68227,147292,-1,239782,-1,-1,-1,-1,59016,143664,946677,-1,428508,-1,-1,834049,621303,-1,-1,-1,-1,833276,1752,-1,-1,-1,361953,236020,772698,-1,-1,7841,-1,-1,-1,105925,15023,-1,-1,-1,72998,-1,206210,-1,-1,407686,-1,-1,825442,76769,-1,-1,257319,-1,-1,155887,909147,381445,146385,-1,764038,555306,-1,-1,455135,506785,202510,-1,789684,-1,-1,-1,636302,-1,-1,-1,-1,444069,344938,-1,811286,-1,283279,-1,-1,633743,-1,-1,801940,-1,360586,-1,-1,-1,869741,-1,-1,-1,-1,-1,167786,-1,-1,574727,61929,-1,-1,-1,223319,-1,881870,-1,-1,226727,-1,-1,20112,255214,871208,114779,759896,-1,430228,-1,462151,518371,-1,-1,-1,181387,-1,-1,143618,-1,-1,781683,-1,566886,729496,-1,-1,543403,638396,155622,-1,624804,-1,98312,-1,-1,968206,-1,911344,-1,609459,-1,-1,732259,575288,699350,305463,940914,418401,-1,839522,224701,-1,-1,-1,-1,-1,822676,-1,901693,-1,-1,603053,42277,682318,839429,-1,-1,764750,-1,919857,647242,566186,985375,-1,597203,-1,-1,-1,528978,-1,10440,-1,951670,-1,-1,795780,-1,-1,-1,917523,-1,219006,-1,975594,779331,-1,-1,822397,317245,539466,738935,86693,-1,-1,-1,-1,-1,779562,769346,-1,448352,-1,-1,-1,-1,819765,123145,276180,179864,141501,-1,-1,-1,-1,459936,-1,-1,343513,-1,834311,-1,205565,-1,650126,962653,189649,-1,-1,341454,953475,886316,840830,-1,-1,367648,-1,-1,760386,-1,-1,-1,-1,171219,227056,630434,174330,-1,-1,-1,663133,-1,-1,-1,-1,870705,-1,-1,846984,821236,-1,-1,-1,253607,-1,597342,556332,-1,198982,520360,673032,-1,911096,930776,267281,-1,-1,285939,953080,-1,491332,979667,125329,226504,-1,-1,-1,-1,-1,715498,-1,-1,24032,197395,-1,561663,528372,-1,91892,-1,-1,494685,-1,815636,506234,184291,-1,109116,-1,-1,558692,94251,-1,-1,849905,764175,520043,-1,-1,978985,528557,-1,73941,-1,812545,-1,486423,158198,-1,75770,-1,582363,252507,974577,620083,244740,778919,-1,312922,530611,575584,905706,176072,-1,392847,285397,-1,257101,-1,-1,-1,-1,604514,850530,40948,-1,13580,340528,-1,94788,579705,-1,-1,-1,818793,-1,542284,768417,-1,756339,-1,-1,-1,-1,800597,492332,-1,932246,-1,200781,39501,-1,-1,89539,-1,-1,985343,312368,258012,560851,842612,149354,-1,234428,-1,188830,-1,156439,721704,-1,330166,-1,123618,21066,-1,-1,813252,917517,553751,-1,974552,343601,49643,829438,-1,16070,568952,955508,-1,506049,-1,-1,562252,-1,-1,117173,-1,-1,794758,-1,-1,95157,462343,892259,-1,-1,830380,152159,107619,-1,462875,-1,-1,-1,-1,-1,-1,379445,-1,-1,97885,281014,489662,-1,-1,-1,-1,275172,759905,332172,-1,-1,641629,-1,992613,935408,-1,893881,-1,526874,-1,759648,-1,254669,149572,-1,680849,949779,268165,869282,-1,-1,-1,138085,-1,-1,497383,650540,152765,-1,-1,846628,237279,945203,-1,334212,-1,835809,494734,-1,91645,-1,-1,-1,-1,422036,-1,-1,249,447972,-1,-1,598454,-1,-1,-1,-1,-1,-1,-1,248349,646289,-1,491633,924272,603371,233640,-1,200841,-1,662205,83991,426105,-1,519085,367949,-1,205317,162692,193727,984572,-1,658481,-1,752155,-1,-1,13491,255973,-1,-1,-1,650565,753051,-1,532930,-1,518891,194479,655039,-1,11858,-1,-1,445687,105413,107472,-1,-1,-1,13753,-1,-1,-1,282647,407750,-1,198249,719941,-1,98157,-1,332556,-1,-1,-1,589080,-1,193830,-1,249377,246263,-1,37033,-1,611011,-1,-1,554212,-1,-1,945977,23473,-1,256103,-1,-1,-1,463966,765241,199372,806234,-1,-1,921004,539013,-1,-1,-1,-1,-1,-1,-1,-1,816447,-1,970157,-1,-1,-1,42716,83234,-1,192462,-1,71408,389072,-1,418870,-1,-1,821722,703280,-1,115703,570057,-1,508294,661035,-1,-1,-1,926553,99386,-1,-1,229626,806175,264359,-1,-1,-1,-1,-1,-1,438488,-1,324736,-1,155459,-1,-1,716905,-1,251868,-1,-1,-1,369901,-1,200959,234274,258723,-1,-1,2946,335983,-1,737124,417097,374507,-1,-1,925249,889938,395545,856963,-1,96,-1,18027,326895,925586,-1,-1,-1,-1,490130,-1,-1,-1,-1,535156,-1,-1,790151,286142,540994,-1,231302,893204,-1,-1,5386,-1,446943,738742,426119,-1,-1,510079,210338,596709,-1,-1,629292,-1,-1,451180,-1,468398,894086,751363,591003,-1,-1,-1,-1,-1,-1,-1,-1,-1,649486,-1,452292,387438,-1,-1,-1,522229,-1,46727,466891,657128,-1,-1,-1,-1,107538,-1,-1,-1,-1,996813,150130,-1,-1,-1,-1,-1,-1,172685,-1,-1,688394,777511,792338,204078,-1,-1,-1,-1,-1,-1,137443,993945,-1,-1,197752,366959,443481,678160,-1,114601,45538,-1,991103,67375,284041,-1,442519,347593,-1,421597,-1,226556,-1,659016,-1,-1,690364,156987,692601,-1,-1,447199,400848,-1,-1,-1,-1,153796,-1,39157,514365,123632,412182,-1,-1,343524,618205,-1,-1,644418,228675,718661,-1,-1,906635,-1,768230,46797,-1,-1,-1,34854,768618,852761,696056,-1,820928,-1,142299,208479,-1,758382,-1,584330,789169,984543,388532,-1,-1,876331,-1,101532,729739,797680,21101,193806,-1,-1,-1,712563,628111,-1,778820,467195,220725,486206,-1,335106,610445,-1,-1,56602,-1,406380,564410,242759,714049,888956,-1,-1,-1,-1,10557,465135,872483,128542,-1,-1,854733,524589,16895,154874,-1,-1,-1,-1,-1,-1,267131,-1,-1,75054,-1,798435,-1,-1,-1,669373,-1,589187,126137,419932,-1,359187,-1,643269,-1,-1,-1,-1,-1,-1,455611,-1,282957,942917,-1,-1,-1,848454,735145,-1,608735,-1,-1,117385,-1,18283,612651,-1,-1,792144,-1,-1,-1,-1,-1,304757,376295,83043,-1,-1,411312,-1,79327,258153,366025,-1,791518,-1,496857,753685,-1,-1,23189,-1,331663,-1,846982,-1,-1,-1,-1,-1,885664,56672,-1,-1,-1,265717,472989,768217,-1,436790,594623,-1,-1,624922,-1,-1,839538,-1,301846,-1,-1,47429,285479,-1,-1,645332,-1,791204,-1,983742,65723,-1,-1,-1,447358,600710,-1,-1,341451,90513,-1,229977,53889,-1,763081,988828,-1,810260,-1,257765,192419,380108,-1,797959,805817,-1,-1,243874,-1,257971,-1,-1,-1,-1,269858,670443,-1,38743,507542,-1,100864,760301,386681,867467,576285,791616,765414,99161,62522,-1,873875,-1,-1,434955,-1,-1,-1,-1,-1,-1,-1,-1,191184,-1,-1,263560,-1,-1,588244,-1,-1,499811,-1,-1,-1,130312,-1,-1,883562,32504,-1,-1,278501,-1,806108,97049,-1,24437,835662,833245,-1,-1,263124,-1,298905,-1,460059,170452,-1,114661,497121,617974,121707,-1,235049,599377,988727,-1,393666,-1,-1,-1,496899,-1,603781,-1,-1,183450,-1,178695,91666,269765,-1,-1,-1,-1,160922,789375,310907,-1,347294,-1,-1,38552,190747,659070,120663,606109,965111,66563,-1,-1,-1,-1,8671,863901,-1,796578,522052,511236,-1,-1,526931,-1,-1,224997,-1,-1,378065,-1,17755,-1,-1,-1,-1,171096,833686,651968,1039,175186,468988,359417,-1,743109,-1,176421,195945,381370,61678,365545,942714,120758,-1,982972,-1,37723,-1,490854,-1,793551,490123,-1,105269,980711,-1,286737,799275,-1,-1,528370,-1,132176,-1,-1,753612,645677,-1,12627,-1,-1,350587,882823,-1,-1,495360,908157,835233,903156,671850,523188,181617,903091,81097,-1,-1,-1,-1,-1,313002,-1,-1,-1,-1,-1,346865,273980,328534,204892,-1,773146,-1,1791,-1,-1,-1,23061,220756,-1,-1,-1,-1,-1,-1,241822,825530,115848,862257,-1,-1,-1,-1,66456,589262,735562,-1,-1,386492,917790,-1,899463,-1,-1,-1,-1,412464,-1,-1,-1,240215,621534,863883,813053,823877,-1,947782,824419,358925,298021,-1,-1,-1,294962,464412,-1,109376,114411,336496,-1,501375,841546,-1,78293,-1,-1,128677,-1,-1,713149,-1,-1,826330,-1,820817,662425,-1,-1,-1,-1,-1,698016,-1,-1,-1,-1,754730,-1,952835,-1,-1,-1,-1,495745,565263,651967,854198,424735,-1,-1,768076,323967,-1,-1,441097,-1,-1,936712,-1,-1,615158,370592,-1,-1,-1,-1,336848,-1,-1,-1,738551,-1,-1,603932,-1,-1,454063,966786,792474,-1,234004,872684,749058,14377,225671,-1,73820,-1,-1,-1,-1,-1,161168,917098,-1,430029,164253,887581,575010,755248,-1,-1,-1,-1,586470,-1,515006,-1,438806,665135,-1,826015,899232,-1,192293,572262,-1,21935,926294,-1,-1,-1,-1,462897,813530,458613,-1,-1,-1,-1,-1,-1,479510,-1,793862,-1,266214,-1,947446,-1,111046,-1,-1,790648,604757,841412,957039,485251,-1,-1,545948,-1,-1,-1,353374,762764,116709,-1,74371,-1,1195,39626,935176,-1,-1,619208,499216,-1,-1,-1,618338,625972,-1,-1,530381,-1,-1,791775,-1,447609,-1,627401,962206,-1,998089,970798,681292,-1,-1,-1,484880,294485,823975,538684,343025,722430,717798,-1,50970,591792,-1,959706,-1,215184,-1,58020,-1,-1,-1,-1,752222,-1,2557,643230,-1,650036,464083,402467,987996,424148,147578,-1,800002,906634,-1,-1,-1,-1,369817,-1,-1,481778,657243,790321,127320,-1,-1,874107,75203,305233,937350,-1,-1,575774,314660,428591,549686,-1,396160,-1,-1,-1,-1,364136,527875,-1,-1,-1,75891,310363,38636,958677,-1,471912,130908,159582,238498,377067,-1,893411,212969,173644,-1,621625,862645,-1,46945,-1,-1,-1,-1,-1,-1,-1,650557,-1,-1,921036,-1,-1,-1,36350,904720,63994,98340,-1,5047,790810,-1,-1,-1,265931,302154,981734,921447,991966,483626,-1,895172,-1,-1,-1,407245,-1,-1,-1,-1,-1,-1,4680,950833,-1,863908,958108,-1,879011,-1,-1,-1,607292,-1,30598,854944,664206,989104,193060,756177,101956,306501,-1,601655,-1,454747,5475,-1,984127,149573,354844,121908,82352,902682,-1,731173,-1,140331,744722,-1,689387,-1,-1,361959,71638,892959,-1,300184,320071,387002,-1,761279,20333,527114,-1,-1,786003,-1,414340,872713,259828,988465,887493,-1,-1,972724,-1,25397,-1,-1,539518,638021,-1,20561,436648,-1,337186,474972,409265,78,824824,755611,441477,-1,622121,833258,270126,-1,31193,-1,918219,-1,-1,-1,579800,-1,-1,104576,-1,-1,-1,-1,671881,620746,32519,-1,-1,31402,548616,27030,715641,915555,944551,226078,-1,878489,6642,845265,-1,894155,345625,856409,156336,-1,-1,727773,-1,742710,-1,-1,806039,614351,582897,-1,963575,852695,-1,579809,-1,-1,293311,538210,813034,-1,747055,-1,-1,417632,-1,-1,-1,-1,720377,416383,-1,-1,-1,394851,948581,-1,-1,-1,-1,-1,-1,-1,-1,847520,324623,-1,-1,-1,231638,-1,-1,86159,399518,693788,7438,104323,-1,-1,992195,573449,-1,740645,-1,-1,-1,333794,-1,75572,-1,-1,518400,-1,994877,886794,-1,-1,-1,-1,605158,740069,144897,-1,-1,803125,-1,-1,-1,295486,-1,394356,-1,774399,-1,-1,-1,475060,434694,-1,66165,-1,-1,-1,646771,577360,-1,68215,-1,272736,-1,-1,161167,70606,-1,183873,-1,777605,21515,455308,562770,-1,-1,621707,970416,123656,-1,397881,-1,158241,683575,-1,-1,991242,-1,151646,72199,-1,699469,602018,-1,-1,717319,497936,490101,802629,-1,-1,-1,200978,-1,405109,64455,-1,-1,909429,500588,52840,14279,-1,-1,758336,134644,649413,875363,115183,914257,-1,-1,285031,-1,462649,978195,-1,-1,-1,-1,668898,-1,684192,-1,22632,376825,-1,-1,-1,-1,-1,500600,672689,215387,-1,-1,762190,-1,-1,-1,520819,-1,592588,264715,-1,-1,240587,567446,753741,-1,-1,-1,-1,-1,730159,825351,-1,831946,-1,928397,735351,-1,400872,-1,-1,-1,53115,-1,948081,576131,-1,-1,-1,1793,362405,705165,-1,58342,-1,-1,774432,-1,110041,-1,818555,-1,583302,-1,-1,-1,409812,510057,196380,708171,572369,644018,-1,-1,869175,605874,-1,-1,359324,-1,-1,246701,537841,-1,914871,887592,442280,-1,-1,-1,713997,-1,265445,-1,-1,879920,-1,-1,-1,719932,-1,-1,-1,-1,-1,174281,-1,868381,315569,262547,734518,-1,-1,-1,-1,-1,25822,-1,223428,938984,515310,-1,295475,-1,60375,100657,225845,-1,647466,103880,-1,-1,48864,-1,-1,24578,738274,101756,-1,-1,960816,-1,49550,-1,116056,-1,-1,499886,-1,153813,-1,-1,328637,-1,78092,-1,-1,985309,117045,124115,-1,862805,-1,-1,350619,459251,198415,-1,957590,510675,-1,-1,690629,-1,-1,-1,457146,-1,-1,972974,704813,689186,677503,645773,-1,-1,954155,-1,104690,201200,-1,-1,-1,271032,307495,11736,-1,-1,195111,-1,655066,-1,650441,-1,-1,-1,353892,-1,104198,-1,668628,189807,-1,-1,590937,-1,-1,306273,850631,265598,-1,118520,376433,-1,482567,-1,-1,516230,-1,754970,460030,110074,-1,-1,491598,924803,-1,845116,-1,-1,-1,-1,318413,332477,-1,-1,-1,-1,84290,-1,-1,417806,-1,883213,702972,-1,-1,725570,-1,480926,279138,-1,-1,-1,170515,131914,-1,537653,-1,609202,745148,564862,616352,-1,-1,889128,402799,-1,23446,840668,643963,679111,480155,-1,878274,-1,496226,425378,-1,-1,-1,499818,-1,311519,-1,-1,910832,-1,-1,-1,-1,-1,-1,-1,936358,-1,251566,-1,714395,258633,737805,-1,925419,-1,-1,345130,323020,-1,404218,258394,6006,-1,359538,-1,-1,-1,-1,-1,-1,519315,319569,173186,-1,-1,-1,-1,-1,-1,982384,131186,-1,-1,64797,-1,-1,588486,485279,-1,-1,-1,973610,-1,360789,-1,808341,-1,-1,-1,371936,-1,-1,991050,917393,504695,-1,97534,954703,658240,819859,-1,-1,-1,119532,-1,-1,822376,-1,257943,-1,902666,-1,746554,96658,-1,-1,-1,-1,-1,841226,531890,-1,726250,-1,-1,662886,-1,934006,839628,-1,972740,935000,-1,522619,523925,19373,-1,60892,939247,-1,-1,550166,-1,924434,-1,-1,-1,-1,-1,-1,-1,415515,-1,959346,352750,-1,202971,4815,-1,581657,-1,-1,-1,-1,191880,-1,831364,886035,-1,736937,-1,-1,898922,545861,-1,-1,603083,467251,-1,-1,-1,772325,691096,-1,-1,-1,948350,41567,514292,358537,408471,-1,932063,634881,-1,649188,-1,-1,337020,-1,-1,850765,-1,-1,-1,-1,32768,624787,-1,895119,216223,219442,420398,-1,214131,-1,-1,423308,-1,-1,-1,-1,783325,-1,-1,10640,419736,-1,811155,216876,-1,-1,-1,-1,-1,963603,-1,-1,988597,-1,640268,-1,-1,-1,709770,292262,724032,-1,-1,110270,-1,875067,-1,929813,-1,-1,550955,876779,-1,233047,-1,-1,-1,60702,-1,47720,141148,-1,-1,906903,649632,186846,-1,53861,-1,-1,973484,635172,85402,649533,756762,309609,-1,352829,-1,778244,-1,-1,-1,574922,-1,-1,-1,-1,-1,343329,949127,-1,-1,452845,59974,733929,22299,956371,731032,-1,520387,448540,-1,256551,875210,430511,-1,955602,-1,-1,-1,838454,820758,-1,-1,108052,23828,309009,-1,690355,-1,-1,-1,-1,-1,-1,-1,243247,735766,-1,689030,727150,189658,646781,992521,-1,-1,178512,187891,-1,96099,20055,-1,897929,325316,-1,939150,910574,919659,-1,982262,-1,845662,-1,-1,-1,468183,-1,-1,961149,201771,182164,91883,-1,261040,369885,189777,-1,830525,-1,-1,-1,71130,521552,326788,-1,-1,-1,-1,280359,-1,247633,-1,-1,928383,520034,662368,-1,437722,-1,-1,-1,-1,-1,272830,-1,785835,913044,182762,699608,-1,862960,-1,-1,-1,219775,19912,-1,-1,118057,364288,-1,958531,531026,-1,-1,-1,206623,-1,-1,242466,163661,618179,969815,102102,-1,-1,-1,-1,616142,168118,-1,-1,628202,-1,-1,30328,738517,269740,920889,124483,-1,237014,886896,655268,6082,-1,419364,-1,-1,-1,456495,-1,-1,-1,448803,-1,105428,649303,907333,-1,-1,-1,-1,714476,-1,-1,986816,682390,428022,23036,-1,937767,-1,-1,587011,-1,-1,-1,-1,-1,-1,-1,-1,669482,9776,-1,-1,790417,200116,471868,-1,291300,-1,-1,-1,-1,277534,-1,414878,-1,726266,-1,735162,333219,742958,-1,739650,941211,248369,246352,500311,498568,-1,483252,986768,-1,-1,251851,-1,-1,772774,-1,-1,-1,757611,981168,994872,-1,-1,-1,-1,-1,312288,-1,121231,560338,800998,-1,926739,-1,-1,-1,814180,708818,949062,752076,320618,710847,508493,654144,-1,-1,176006,485177,-1,711984,462592,-1,359150,-1,113968,-1,-1,-1,-1,-1,928404,588853,524705,102510,-1,-1,900089,323688,-1,-1,-1,-1,965054,-1,-1,-1,-1,64826,-1,-1,409522,577918,180896,-1,452849,-1,665058,-1,376712,-1,-1,319413,841904,972706,-1,777476,130457,-1,-1,886300,-1,-1,206407,-1,-1,802139,-1,-1,888434,-1,-1,-1,16395,-1,245481,694698,540674,-1,614442,-1,564917,-1,728971,387244,903939,965699,-1,-1,977441,-1,-1,925595,108715,5013,-1,873906,528669,276217,-1,-1,-1,511266,420583,915770,-1,960302,419037,-1,-1,-1,-1,-1,-1,618782,3333,-1,-1,-1,-1,-1,-1,806287,378779,-1,212001,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,56634,631789,-1,-1,256602,638378,951340,186807,413310,-1,399019,92067,893701,-1,345285,835071,-1,226511,-1,171970,-1,-1,-1,-1,-1,932997,678631,464849,696584,-1,-1,290425,884983,-1,838578,-1,-1,958419,-1,-1,-1,-1,760581,473108,122692,-1,-1,569125,194690,369635,107648,492192,221711,177163,28522,-1,380984,-1,255896,-1,521594,216325,-1,351801,187912,-1,690346,-1,860548,360947,159323,491063,-1,-1,-1,403130,124447,752014,788111,-1,-1,-1,735773,-1,-1,-1,-1,-1,92938,-1,-1,-1,780749,397868,-1,565821,-1,209198,-1,872628,787620,838312,-1,-1,-1,511195,-1,-1,231490,887673,952463,-1,329915,482314,-1,797096,-1,702599,206418,-1,-1,-1,541408,609779,-1,958767,-1,-1,161013,104451,-1,-1,-1,-1,-1,518866,744526,267798,299481,644578,322210,857406,206827,587281,312400,836378,-1,-1,-1,-1,-1,-1,-1,370005,618002,-1,88672,100748,-1,-1,682827,-1,11231,-1,-1,982836,749359,-1,-1,-1,709939,-1,-1,885754,516444,615744,266454,-1,-1,807549,-1,457723,762015,869243,-1,66133,541840,844412,-1,202825,-1,-1,-1,8828,324225,-1,551210,-1,915190,340091,-1,274299,-1,-1,-1,-1,-1,766788,-1,-1,-1,943257,-1,-1,-1,827684,853620,364404,-1,-1,-1,930362,-1,-1,-1,-1,97072,39356,-1,-1,135571,309667,-1,887580,854400,-1,-1,329799,854492,731365,707082,389949,872493,-1,-1,-1,366544,978941,-1,-1,-1,-1,-1,-1,379902,883641,423564,-1,745874,369641,-1,288037,-1,831740,-1,-1,-1,-1,430465,-1,-1,-1,782213,806581,305747,756249,-1,632350,879859,-1,230180,-1,-1,563810,105588,742996,-1,424664,-1,479127,-1,123293,-1,108804,59185,-1,448524,796688,426945,18821,933112,158461,-1,7478,-1,239513,-1,414763,-1,-1,-1,438290,870255,-1,704720,-1,-1,-1,673330,-1,882672,597717,-1,-1,-1,-1,-1,145620,977393,-1,-1,-1,545099,-1,307710,-1,65165,173677,2539,-1,-1,-1,734964,527972,6462,-1,-1,-1,-1,-1,937596,219838,952113,819340,287485,-1,-1,-1,749965,-1,559437,-1,707614,754018,58201,-1,-1,399938,795435,-1,-1,-1,672078,-1,72046,360379,-1,-1,-1,146525,-1,-1,227821,138565,-1,-1,886096,-1,-1,-1,-1,473525,984088,-1,324718,-1,-1,-1,-1,131798,-1,-1,-1,-1,879562,359610,-1,-1,-1,145034,-1,528767,401205,-1,-1,-1,-1,-1,-1,11966,-1,-1,-1,556252,-1,471794,-1,277647,-1,-1,587735,266137,-1,-1,650020,342765,-1,918829,913793,318960,-1,-1,-1,56463,-1,-1,-1,478261,336452,-1,-1,-1,-1,679074,187092,910942,164338,279849,-1,311767,-1,64490,159998,-1,-1,745335,-1,865536,-1,-1,659359,599811,763519,-1,237647,-1,-1,973659,210031,-1,-1,-1,-1,654366,-1,-1,29877,-1,-1,-1,930164,40303,761725,267260,-1,-1,806660,9797,566652,474248,-1,-1,-1,462548,936156,-1,-1,-1,-1,253140,405731,-1,585239,264805,-1,292101,113975,-1,-1,-1,692834,126981,-1,73662,628893,-1,-1,94890,893527,878900,-1,-1,218869,-1,-1,-1,211697,-1,-1,268516,-1,433752,181091,231318,864112,278804,82899,86641,872313,674613,259705,425004,83766,296776,-1,-1,-1,-1,-1,52714,332099,586786,99514,-1,-1,695708,509128,107687,290883,-1,960806,101536,-1,451736,-1,878491,117672,286874,-1,-1,-1,-1,400925,247746,232282,980887,-1,-1,570761,-1,-1,613761,919308,944849,-1,933334,-1,829055,-1,404572,269670,861355,-1,542796,585653,-1,-1,-1,-1,716819,419276,-1,-1,630049,-1,922100,405985,-1,-1,207078,360214,-1,-1,-1,-1,-1,-1,907100,-1,-1,896322,-1,647247,-1,-1,-1,822330,-1,-1,100020,58969,-1,497260,22254,998218,-1,-1,-1,-1,330255,37044,-1,-1,968058,-1,629042,-1,-1,-1,-1,-1,-1,-1,-1,677859,612522,-1,938686,418161,247437,424346,-1,-1,-1,-1,-1,703464,-1,661699,-1,114492,-1,-1,454213,1354,-1,749392,-1,-1,-1,-1,363438,725693,712211,-1,484269,-1,-1,-1,603329,-1,418723,598591,-1,-1,-1,-1,-1,-1,-1,383038,-1,-1,-1,272883,-1,142398,-1,-1,843463,-1,-1,986511,-1,64383,411250,-1,-1,-1,-1,-1,-1,987701,309970,209432,-1,-1,-1,349678,-1,-1,-1,-1,954417,-1,438574,-1,508390,-1,-1,-1,740141,337157,-1,692621,-1,-1,-1,-1,509244,912055,832146,-1,78261,733481,-1,-1,-1,336030,-1,-1,832692,-1,712779,-1,-1,717513,-1,-1,395017,198324,-1,97583,13441,565750,-1,93061,842058,233815,-1,-1,-1,363964,-1,-1,-1,-1,-1,-1,185369,347721,-1,-1,-1,846307,-1,601807,-1,-1,659967,-1,749480,981440,-1,162051,233127,-1,-1,-1,219291,39772,710483,-1,326841,-1,-1,-1,170409,-1,680435,-1,-1,125564,-1,159540,225557,-1,283343,-1,570399,-1,930985,962318,872000,-1,-1,-1,-1,650321,-1,-1,-1,860022,572108,490620,-1,691315,394537,277250,862506,-1,-1,-1,-1,165265,-1,-1,-1,-1,-1,-1,65948,299739,-1,453620,-1,-1,959217,825037,688216,263011,-1,-1,-1,500825,330827,-1,166635,498600,973931,-1,817089,697424,-1,-1,-1,34755,823118,754161,-1,-1,846,346086,-1,-1,998175,-1,286139,-1,145575,573502,117577,-1,152232,-1,659743,923698,-1,536134,806954,-1,36880,-1,160982,4754,847753,-1,757148,901198,779984,185596,-1,731280,407791,697922,-1,-1,938704,239501,579884,964875,351072,-1,-1,229318,-1,-1,-1,859465,655703,244357,781431,81250,-1,863830,-1,-1,502727,87010,676642,295197,-1,256570,-1,-1,-1,-1,483724,183370,332218,-1,-1,128165,-1,-1,730384,898251,-1,-1,461251,411113,-1,171532,872681,423789,232848,-1,697495,981150,731176,872548,236812,-1,-1,585439,-1,-1,-1,-1,-1,827155,-1,-1,-1,-1,425175,551317,395182,-1,782651,764829,-1,-1,417660,512887,77594,-1,-1,-1,235146,-1,852266,922178,-1,-1,-1,759719,-1,-1,75065,601197,392344,919959,776717,-1,-1,-1,691345,876006,-1,-1,-1,991735,-1,-1,-1,474272,-1,-1,836880,-1,66997,541233,110463,418896,-1,-1,319054,509241,436331,283121,-1,371423,-1,-1,617168,530843,232802,102525,-1,-1,812317,-1,476165,-1,130562,223027,192736,-1,-1,842469,-1,-1,-1,-1,119512,59971,-1,896878,-1,243605,-1,923446,-1,54622,5916,-1,-1,654680,-1,701737,-1,-1,800905,172610,578275,518134,-1,796723,367544,-1,661092,867495,930419,406666,343973,392020,482252,86623,-1,-1,-1,837529,140976,-1,-1,-1,-1,-1,-1,962161,-1,-1,-1,-1,877614,4589,945889,710084,-1,759281,-1,818604,-1,791971,758605,-1,702606,342973,73270,185989,-1,-1,699625,411000,137225,328213,297624,-1,-1,868883,-1,741193,-1,-1,131766,-1,-1,-1,-1,-1,861326,919373,344271,-1,-1,733084,-1,-1,-1,-1,-1,989828,980217,510639,878560,323023,-1,613041,-1,284413,-1,-1,-1,820465,-1,515110,-1,924832,380430,-1,399398,270101,394516,505237,-1,-1,-1,110230,-1,186352,-1,759053,-1,-1,-1,227677,596690,-1,-1,208676,-1,583439,44631,186143,767787,468371,-1,-1,299670,903208,118849,200737,366524,975101,903589,387991,-1,943713,186613,151815,-1,-1,641033,149215,-1,208271,938248,73558,-1,201516,220253,-1,-1,240500,47629,184324,-1,-1,-1,503315,549211,-1,-1,675494,447311,-1,163402,166755,-1,861819,677639,612175,350351,-1,-1,337425,-1,-1,-1,-1,799247,-1,200864,996808,-1,-1,258125,-1,-1,-1,-1,408895,-1,-1,-1,407815,-1,-1,-1,471397,111252,392542,-1,-1,-1,803751,-1,527373,-1,346587,-1,-1,598509,-1,510548,-1,692329,638946,141444,-1,501245,-1,-1,789408,708154,-1,35403,-1,334539,-1,-1,-1,62981,-1,-1,390618,-1,-1,116508,117209,136522,170965,-1,-1,-1,59101,-1,810271,820180,327255,44408,-1,637053,339937,-1,-1,-1,-1,-1,-1,-1,704942,477554,-1,851711,858351,830100,235342,-1,116784,-1,629720,735852,365692,-1,503111,-1,338503,-1,-1,-1,-1,357704,271730,673691,-1,345539,569019,-1,-1,-1,845682,797594,642239,-1,453177,382460,-1,648374,-1,439379,555130,5169,872923,315625,287233,-1,214733,708928,511359,-1,783749,-1,597681,-1,-1,612173,-1,605423,810415,622015,-1,-1,-1,-1,560302,487570,38569,-1,-1,-1,-1,-1,997573,-1,-1,-1,523782,-1,102646,-1,-1,824004,493020,-1,790378,370162,284298,-1,948578,105059,-1,-1,667973,186365,-1,765832,-1,487016,408384,-1,947819,464004,139985,-1,549793,172636,-1,137929,235665,-1,50154,219212,501761,-1,340920,488561,638440,-1,741424,-1,-1,-1,397320,-1,755748,-1,-1,-1,-1,-1,205489,698058,991781,-1,342177,805895,3408,-1,20796,520630,123670,-1,631155,-1,868577,13775,309462,-1,245586,108904,-1,280265,-1,-1,-1,-1,-1,206852,964690,-1,-1,-1,-1,629581,-1,570864,823464,111609,-1,-1,697740,64846,-1,515779,558158,-1,265575,363791,-1,-1,-1,-1,203469,-1,-1,-1,313687,64292,-1,521767,-1,606905,-1,933545,-1,627268,-1,-1,-1,225694,745052,450415,-1,-1,-1,398387,422603,-1,749986,876389,-1,-1,-1,666182,659241,-1,-1,-1,-1,-1,-1,893252,-1,121973,-1,-1,996803,-1,475299,747272,632806,-1,-1,672173,76768,-1,-1,-1,-1,3484,393161,-1,-1,747892,-1,268181,-1,-1,-1,14913,246958,-1,-1,759519,279490,750244,319835,-1,-1,-1,-1,-1,305087,795502,-1,218395,796791,-1,-1,-1,-1,715159,-1,-1,-1,-1,630500,620689,381447,165399,309489,179796,-1,-1,-1,21575,185517,859142,267925,-1,-1,-1,337113,-1,381652,-1,-1,318210,196640,-1,73881,132202,749414,-1,227779,456196,581253,747068,580450,233442,48025,-1,-1,779707,46240,-1,958363,31505,284372,-1,-1,-1,340734,880493,-1,-1,45034,285668,656881,-1,748835,883405,847093,584291,547702,626767,698892,-1,-1,-1,-1,741785,-1,833010,-1,-1,-1,-1,-1,-1,277764,911331,610287,508207,-1,-1,-1,-1,-1,247411,-1,760612,-1,-1,985276,430632,-1,995107,-1,-1,-1,-1,870034,771221,334428,158033,363038,-1,942534,-1,81053,-1,562282,577805,214327,-1,93219,27877,-1,491467,-1,-1,-1,-1,-1,-1,712337,-1,433286,-1,-1,-1,-1,-1,-1,691074,930145,178243,-1,310087,618521,816150,374485,-1,-1,646014,459426,-1,-1,-1,511354,-1,-1,749156,-1,-1,340975,-1,-1,-1,5093,224696,470384,-1,-1,136981,-1,633364,-1,136435,92131,-1,-1,76561,-1,-1,831809,-1,-1,-1,488885,-1,587008,322793,-1,967506,478347,815536,365575,604236,31799,307374,684278,-1,818174,-1,349638,634836,183902,-1,168984,505051,667035,248041,822467,825567,-1,-1,-1,800039,-1,-1,351741,640942,789587,-1,-1,936017,45391,-1,466226,-1,331215,704641,-1,875527,-1,-1,-1,-1,-1,845481,-1,-1,-1,633257,-1,318274,-1,876461,248398,-1,942959,338565,-1,152242,152471,-1,-1,643516,838,424219,421383,992676,783573,849222,375930,300930,431013,-1,95056,285829,-1,46706,669433,279323,829806,769385,-1,-1,-1,-1,-1,-1,72352,537298,688313,-1,-1,-1,-1,955518,-1,900813,-1,-1,32747,-1,467798,-1,60236,-1,711495,-1,228623,-1,577279,-1,839690,-1,-1,-1,922974,696801,589815,-1,900762,421864,141584,427902,699572,-1,-1,715399,-1,-1,956525,-1,-1,-1,872510,-1,-1,708480,-1,256350,735570,124810,-1,-1,-1,-1,-1,16929,800189,915391,-1,687731,-1,-1,405879,-1,-1,721399,653994,20535,-1,-1,257828,71272,-1,-1,900133,252398,-1,-1,-1,-1,957173,-1,172990,24694,954982,-1,-1,-1,-1,-1,-1,204154,-1,832356,644001,-1,782517,-1,929811,-1,-1,355014,-1,701918,-1,917670,92878,-1,-1,872763,280330,-1,-1,101040,-1,-1,-1,-1,903630,-1,661910,-1,-1,21381,-1,-1,599740,456044,148039,-1,-1,-1,-1,-1,486968,-1,343433,-1,157643,177381,-1,887007,793037,-1,-1,589693,271419,113510,449667,371521,-1,458989,-1,-1,-1,-1,124270,417428,656318,-1,758161,-1,556474,-1,401195,-1,-1,-1,-1,236309,908508,617382,-1,830172,298949,316148,-1,-1,-1,347527,942876,229663,-1,961680,470140,-1,445918,602307,830608,-1,-1,950583,226825,-1,-1,-1,-1,603463,87373,986769,610932,86242,-1,536947,788064,-1,-1,41706,-1,-1,-1,461980,-1,-1,-1,139624,635258,-1,-1,346997,-1,-1,224850,-1,-1,423805,-1,-1,-1,378451,350686,294353,986357,-1,2917,-1,-1,308546,688259,-1,969408,122152,-1,720558,961762,-1,88008,-1,36275,-1,129668,-1,131965,493295,841242,68160,539115,-1,333603,562856,323451,596454,368402,-1,-1,421665,-1,246614,698178,334955,460223,399678,-1,-1,-1,354519,947757,-1,-1,993043,-1,317621,-1,-1,608364,41113,76821,334899,335148,-1,-1,555225,-1,-1,949353,192747,107411,495462,917444,391029,411726,-1,86928,-1,-1,-1,-1,-1,-1,-1,696876,-1,-1,-1,175141,395529,-1,-1,-1,-1,-1,361602,645044,799672,-1,988115,743495,-1,-1,-1,17787,-1,216731,868576,-1,195868,58902,388876,138804,-1,-1,288774,-1,-1,-1,-1,-1,292340,-1,-1,-1,-1,292781,271908,468779,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,708150,-1,847415,-1,-1,-1,-1,184755,-1,-1,-1,-1,-1,698853,362756,-1,-1,-1,121781,-1,-1,899864,-1,-1,-1,88625,945841,-1,-1,-1,-1,-1,-1,-1,323798,888570,22609,563584,979481,488826,638200,-1,316200,-1,-1,-1,219474,-1,584277,246313,-1,-1,716277,588482,-1,-1,-1,843928,-1,271763,-1,-1,547314,64872,338557,777619,-1,679346,407065,-1,-1,823964,-1,-1,-1,229325,122693,302209,-1,209834,-1,498251,-1,455259,328829,-1,102023,748347,255689,-1,-1,242622,836058,763990,-1,-1,-1,305595,-1,-1,-1,240169,653354,519641,12786,436411,-1,-1,-1,335290,-1,557603,500834,668283,-1,-1,369138,582673,41962,-1,-1,198138,509252,294187,763478,-1,-1,405760,165946,908038,-1,-1,-1,766490,603470,-1,-1,-1,-1,607264,-1,467704,-1,301697,939831,-1,-1,368456,-1,32276,-1,-1,-1,-1,-1,-1,47845,-1,604111,-1,101268,146588,572457,637475,-1,-1,818671,189814,475599,23852,278040,974286,369942,692398,-1,-1,228134,-1,324459,398839,-1,622052,-1,837107,-1,882591,810482,291875,-1,768223,-1,478871,618486,-1,797449,227899,-1,-1,39632,607702,478455,686179,-1,-1,-1,582922,-1,-1,601241,-1,949247,163454,-1,463279,-1,244566,-1,-1,-1,-1,18114,108693,633897,-1,-1,-1,-1,-1,502014,200086,-1,-1,-1,-1,258575,-1,797083,-1,660934,-1,692954,-1,654778,-1,118612,790695,397945,469343,834591,-1,569222,-1,-1,-1,924051,-1,420471,-1,393475,533165,-1,-1,-1,-1,755750,-1,-1,259569,175388,-1,32414,645022,-1,945720,277809,-1,-1,-1,-1,-1,7143,616771,422888,-1,-1,-1,-1,-1,621226,-1,450903,396916,779697,371068,41833,370320,-1,154638,-1,-1,-1,-1,804111,-1,595952,537968,-1,931976,-1,-1,353143,-1,177307,-1,-1,612344,-1,-1,-1,412869,-1,-1,-1,-1,790210,391014,8111,-1,-1,802196,-1,844908,-1,948737,51205,-1,-1,502491,263625,-1,-1,363728,944343,-1,-1,-1,-1,117700,244070,911975,145098,262864,639192,-1,-1,-1,888703,-1,158080,-1,356120,509793,136072,791689,54946,-1,-1,204430,-1,-1,79798,288429,409187,556017,-1,-1,185273,-1,-1,-1,545419,421355,525160,-1,2309,-1,255998,-1,-1,912890,-1,-1,248943,-1,817315,101136,-1,-1,-1,-1,-1,410479,166554,576097,-1,983210,419938,851903,-1,330635,-1,-1,464132,131758,-1,-1,749432,-1,52532,-1,-1,-1,-1,17246,754698,-1,175907,128834,694175,944628,169599,577199,-1,887987,207199,-1,234571,322818,828274,312227,955337,499394,-1,-1,-1,707561,-1,-1,-1,-1,-1,605525,204090,290770,-1,-1,-1,-1,-1,-1,196697,-1,601664,630893,-1,-1,952245,-1,465392,369592,103666,456181,563497,630959,224436,-1,484315,-1,-1,-1,30362,-1,360915,910748,115174,-1,930174,-1,-1,-1,433152,-1,-1,-1,-1,998828,564708,-1,793335,-1,2879,-1,162255,273983,-1,-1,-1,572063,642265,636326,-1,-1,-1,-1,480060,767174,-1,-1,506834,526948,708404,244539,453565,-1,-1,301046,-1,-1,522399,-1,622516,708115,-1,437363,-1,700295,-1,-1,-1,-1,239426,-1,-1,-1,-1,-1,963244,722767,209887,-1,322658,-1,-1,210774,265205,-1,535786,299791,-1,409260,7845,-1,987022,-1,-1,-1,626757,889738,25204,-1,368965,-1,656551,-1,890161,111875,-1,-1,-1,-1,-1,162675,436147,-1,988570,-1,704891,-1,974915,504134,975841,-1,813194,417565,-1,-1,488764,-1,-1,-1,-1,-1,-1,-1,39031,776118,812895,995349,370615,960743,-1,655862,-1,-1,-1,-1,-1,-1,582624,-1,880213,455004,764862,-1,-1,258302,-1,-1,-1,716807,601647,450514,-1,544099,349217,-1,537169,553308,774253,11593,293831,-1,-1,-1,602738,-1,-1,-1,-1,162516,730545,83837,510451,406694,-1,780361,515600,489047,211569,133820,-1,24850,956264,-1,-1,677275,-1,126749,-1,-1,553360,717629,-1,-1,444638,969605,-1,891915,-1,985933,-1,-1,567850,749332,513455,-1,789246,241556,-1,838328,239291,-1,846942,51244,-1,-1,-1,-1,-1,-1,-1,-1,511264,286193,771318,423658,870915,391402,-1,-1,-1,152922,187866,728,-1,756948,56445,847218,516193,-1,560489,-1,929792,-1,-1,96686,-1,174380,884735,-1,891683,-1,-1,523518,941685,-1,-1,555861,-1,252978,-1,-1,-1,-1,353945,-1,575480,864867,339023,366869,-1,-1,-1,377415,147855,-1,261590,-1,-1,-1,50842,-1,-1,494375,508849,906690,-1,-1,-1,-1,522224,-1,-1,449683,492062,-1,65757,-1,10001,484118,-1,-1,-1,592482,-1,313711,486860,-1,927319,-1,666872,266710,109944,-1,662540,-1,-1,-1,-1,-1,-1,-1,-1,623777,-1,543491,-1,344906,-1,606673,-1,553028,304253,-1,-1,1374,848020,865048,-1,28448,58823,934259,185744,900888,837955,35811,-1,-1,411903,-1,663677,778758,-1,-1,990281,457948,307005,722823,-1,-1,314265,367177,-1,407672,-1,-1,-1,378016,999578,68524,-1,436543,-1,-1,-1,-1,-1,-1,336818,973505,91347,-1,395903,250702,-1,818238,-1,118699,-1,-1,368074,582052,883612,-1,-1,315276,-1,-1,-1,-1,432111,-1,89175,-1,-1,-1,170099,481162,315218,929458,948339,858596,-1,-1,-1,846399,149844,-1,177830,-1,25472,802748,-1,-1,572592,-1,-1,814043,243664,-1,747440,195029,374444,915629,-1,467438,397813,-1,-1,-1,437866,223952,-1,9486,-1,-1,372252,-1,311448,100776,326965,735933,408368,-1,-1,-1,649851,572907,873578,779811,-1,-1,413768,401122,262770,520944,-1,-1,-1,200729,-1,-1,864454,119564,457041,430830,-1,-1,-1,-1,-1,-1,-1,-1,499165,-1,610174,-1,-1,578915,529154,-1,991187,170077,381788,200996,-1,598519,-1,879039,-1,729972,751337,-1,472259,22671,400498,-1,-1,56805,825573,782288,145214,-1,-1,-1,224121,-1,117199,495611,-1,-1,739170,-1,-1,117716,-1,-1,-1,-1,635107,-1,-1,-1,-1,293527,-1,637035,-1,182589,834258,-1,-1,-1,-1,-1,-1,-1,790578,-1,541527,-1,-1,283209,767493,374348,-1,852105,-1,-1,824213,600243,-1,586078,-1,-1,630237,-1,-1,447825,-1,134793,-1,440701,114179,-1,375540,-1,207856,-1,331602,919773,-1,809330,-1,734452,-1,-1,610552,-1,-1,684084,239676,-1,690698,425769,-1,-1,339183,186691,-1,1733,-1,-1,-1,-1,357446,-1,-1,-1,-1,-1,595798,-1,-1,-1,41491,-1,-1,635761,-1,351113,-1,-1,430605,-1,-1,-1,821705,-1,-1,632737,349362,252127,-1,484885,991987,836750,-1,-1,-1,823430,990252,-1,-1,-1,372068,121239,348898,-1,-1,-1,-1,-1,854816,234745,-1,-1,811929,-1,504890,661380,-1,-1,860960,156830,148206,-1,312049,374668,-1,-1,-1,763867,-1,-1,-1,838064,797194,-1,-1,350370,-1,-1,-1,372763,178914,825281,-1,-1,294661,446527,558641,-1,317312,-1,-1,-1,-1,636627,-1,499359,124086,-1,-1,657461,-1,905038,-1,355683,-1,-1,230783,-1,-1,-1,-1,-1,845882,-1,-1,977299,624428,271354,591097,-1,-1,-1,-1,-1,556072,798873,-1,230898,853274,286191,958221,998106,202188,-1,-1,490049,117718,-1,-1,88440,478368,969969,263454,557496,-1,-1,889190,451041,-1,646155,-1,349722,-1,758034,-1,730966,114943,-1,-1,33497,672440,464865,-1,374186,-1,-1,469412,221687,-1,116785,-1,263878,-1,-1,228192,-1,-1,812363,-1,-1,632879,-1,612061,353507,645149,-1,817258,-1,892654,-1,612764,-1,9629,-1,-1,821253,62110,426156,981381,538425,335027,-1,808157,-1,-1,389374,-1,854743,973357,746358,-1,470047,-1,-1,558165,-1,468478,-1,-1,988910,-1,896064,-1,-1,-1,771877,753322,982971,-1,-1,668050,-1,496831,-1,-1,577889,-1,960906,530722,-1,836233,922293,-1,197070,-1,-1,-1,-1,-1,95701,-1,-1,373543,-1,-1,-1,508978,988146,971652,59545,-1,-1,-1,148513,425909,-1,-1,-1,-1,-1,-1,410364,994838,227283,488631,293863,786572,4236,113248,69418,-1,586753,-1,-1,-1,-1,836882,918253,-1,-1,195803,669590,-1,-1,-1,278082,269359,556266,-1,251159,-1,416022,-1,-1,976874,312925,-1,386457,432710,-1,785355,927885,748288,-1,237506,406960,601046,384488,652434,-1,996930,539964,-1,-1,57602,518793,-1,-1,-1,-1,-1,-1,902008,337144,132257,-1,-1,481624,-1,-1,192136,218086,624586,406394,393937,-1,-1,-1,-1,-1,-1,288335,-1,-1,722967,-1,417461,136990,868218,347299,776682,-1,-1,264049,107805,504324,412834,385319,813733,202416,-1,-1,-1,-1,-1,-1,-1,851923,183006,388196,-1,836988,-1,694458,-1,768243,599679,-1,-1,702821,-1,397049,-1,656576,-1,329775,954732,-1,-1,-1,-1,-1,553726,-1,404748,295135,991324,-1,765929,-1,-1,389879,65890,500883,874514,932549,-1,-1,164186,676286,-1,531934,308443,395801,953218,-1,-1,650354,15395,-1,-1,-1,78574,-1,-1,56076,885494,389939,651956,271405,-1,350915,-1,-1,-1,545646,510327,-1,332688,418960,-1,66225,-1,418128,-1,914895,641708,819380,-1,-1,434913,-1,517165,-1,945393,-1,95891,-1,-1,-1,-1,697478,-1,636776,894070,-1,-1,-1,919703,2157,492250,927513,811639,-1,49541,1532,-1,615349,983292,870003,-1,-1,-1,-1,-1,208218,-1,754606,-1,-1,870213,806908,-1,67797,125880,938631,-1,-1,-1,255386,-1,9023,-1,-1,56779,579838,-1,390914,586437,403158,-1,569076,-1,427989,669421,559018,-1,-1,-1,-1,-1,-1,493620,418094,298534,526995,912308,790220,-1,-1,-1,-1,630249,925367,443430,-1,-1,-1,-1,-1,-1,-1,305538,212651,232765,77610,-1,-1,-1,997624,-1,818101,510226,335934,-1,-1,-1,938071,21582,-1,-1,-1,786171,30181,266263,644428,120602,570826,869500,-1,-1,-1,-1,803056,841144,16058,228079,-1,-1,-1,491836,987273,776032,414319,-1,-1,829503,453515,907331,-1,-1,-1,750544,56581,-1,560478,19589,102372,865789,-1,777565,-1,-1,-1,697945,659704,772879,814116,356645,787283,386676,-1,484331,229686,-1,-1,140375,-1,-1,827949,-1,58159,946945,579220,78608,-1,-1,337367,414360,768278,-1,362462,201760,355217,820560,-1,-1,128766,-1,-1,397691,-1,-1,-1,24121,-1,78412,996755,-1,-1,646661,-1,460843,-1,-1,-1,-1,837981,974260,884087,472230,-1,686334,394310,513708,-1,-1,355031,-1,-1,-1,-1,-1,-1,-1,-1,625954,-1,858093,-1,250789,-1,-1,446551,766145,489690,-1,46861,-1,-1,-1,756586,-1,15727,165583,-1,-1,-1,-1,122547,575336,772953,335723,469093,236050,-1,692843,47951,-1,72540,902037,583732,-1,-1,-1,-1,853566,-1,631256,-1,-1,-1,-1,384358,-1,866022,56981,400215,-1,617161,-1,-1,569730,-1,126359,469404,268977,107572,-1,-1,-1,359499,593130,198372,-1,-1,-1,-1,255107,-1,621082,-1,982866,212925,-1,446077,692876,106863,-1,-1,-1,-1,491323,-1,-1,-1,341996,194390,980492,64098,-1,-1,-1,-1,338064,-1,987361,-1,-1,806483,850561,383983,-1,-1,-1,-1,-1,534245,866358,-1,-1,32947,-1,41784,-1,-1,-1,898339,574864,-1,135051,-1,-1,919330,-1,40009,-1,671117,-1,367262,674791,767142,207841,771502,-1,-1,-1,-1,206713,55354,-1,-1,403387,903814,-1,-1,351935,-1,53970,-1,544090,-1,690234,-1,-1,999047,52,-1,-1,-1,-1,-1,628154,117939,738754,330681,-1,-1,-1,246639,748465,768150,569380,184372,-1,-1,983150,-1,813510,-1,503900,-1,-1,-1,-1,-1,282022,946669,-1,-1,653712,-1,23590,872663,-1,58716,103441,832493,163459,688881,-1,25984,-1,-1,306657,439993,537431,-1,485242,410778,25398,-1,-1,-1,1331,-1,-1,636054,350097,-1,-1,341761,590224,-1,-1,-1,-1,396515,-1,369678,-1,-1,-1,951846,-1,-1,-1,-1,-1,303807,-1,400372,63691,-1,765181,951825,-1,921674,-1,-1,684804,374106,524883,598102,-1,554284,844108,-1,-1,-1,308094,-1,-1,-1,-1,994014,181948,-1,-1,-1,-1,-1,141485,393958,-1,-1,849291,930768,21833,-1,-1,619341,257865,-1,394434,-1,552362,624396,188631,471771,-1,546050,-1,-1,468275,642985,-1,-1,-1,742303,831722,-1,-1,-1,843396,819379,-1,273744,794525,195452,203729,-1,-1,-1,670399,177809,541545,851816,-1,226635,303244,-1,-1,-1,851624,-1,135806,986038,464892,-1,-1,489832,-1,-1,412631,-1,-1,797459,-1,-1,-1,583397,-1,-1,905976,-1,378677,-1,-1,-1,359655,-1,-1,-1,-1,187401,918169,890472,-1,-1,-1,-1,127007,-1,-1,-1,-1,718982,745203,-1,-1,801831,-1,-1,-1,-1,217932,-1,-1,784921,-1,-1,323956,-1,869206,-1,210108,-1,-1,756940,864791,-1,-1,-1,588751,367765,-1,836663,-1,839206,234680,-1,190291,994926,-1,810511,199041,-1,63709,663654,178628,325495,50605,143785,679888,931430,544414,711889,-1,852065,183767,837429,-1,-1,-1,26576,683623,-1,76779,61281,-1,226142,864071,-1,488188,229870,-1,120356,376307,-1,-1,-1,-1,188834,-1,-1,-1,11793,-1,-1,594817,-1,-1,479155,-1,842582,139305,176282,-1,47704,557129,-1,-1,-1,503788,707158,825166,975177,-1,986640,-1,270037,303595,-1,-1,98647,474208,918033,-1,363525,-1,467908,-1,-1,73647,237869,383887,285608,-1,-1,-1,120112,755002,-1,-1,-1,-1,-1,701937,622027,-1,-1,460303,-1,-1,-1,-1,-1,-1,192548,-1,381269,-1,468498,887905,-1,545989,-1,66082,-1,-1,895950,-1,-1,-1,508218,-1,-1,545631,736895,881850,398558,301707,749917,-1,-1,-1,364759,33026,-1,759285,822037,617431,-1,-1,-1,193597,-1,455679,149475,-1,-1,-1,-1,258308,-1,-1,-1,-1,912404,928225,-1,539856,-1,855705,721893,704786,-1,-1,204812,-1,421093,-1,-1,-1,66797,23625,-1,422712,134349,-1,-1,-1,-1,13055,137681,-1,-1,83111,622233,-1,965356,-1,-1,102949,-1,524614,583493,959984,-1,531960,970194,-1,352859,-1,181447,-1,355829,89323,-1,968050,-1,237866,-1,646510,977496,-1,43453,564705,594918,-1,-1,-1,-1,790333,66564,-1,461234,989238,284406,357847,-1,97091,-1,183266,-1,-1,150323,-1,535206,-1,-1,900178,-1,957472,770768,-1,324994,-1,-1,-1,493781,464413,269732,193199,936132,-1,650521,-1,466393,-1,-1,244399,632565,-1,-1,-1,827710,-1,663710,910559,-1,891165,117775,297574,974642,-1,582465,-1,-1,624940,-1,578626,334495,-1,-1,429338,153154,940926,993984,-1,839549,998352,-1,-1,68554,358271,-1,-1,70357,-1,439727,777345,-1,-1,751255,811802,-1,838389,-1,-1,-1,-1,29449,31126,-1,-1,358451,-1,-1,-1,-1,439096,-1,-1,111886,716996,191363,884513,652933,-1,-1,-1,520285,627977,-1,-1,923939,-1,210019,-1,258726,479850,129822,54666,-1,983998,-1,181467,582750,802792,-1,955543,334296,691809,-1,-1,-1,700548,548003,229623,692218,799493,913024,-1,269720,-1,-1,-1,408495,268816,-1,172119,-1,-1,-1,-1,777480,-1,225373,763153,-1,349882,766635,-1,239207,726109,-1,790225,-1,372064,918202,-1,-1,-1,-1,840945,-1,-1,73489,-1,155043,291099,680411,418248,-1,661895,-1,177917,239614,204424,211751,-1,-1,42976,-1,731729,768366,-1,-1,-1,-1,894232,862629,662620,-1,662838,356826,473610,-1,-1,845621,548602,-1,987137,700344,698304,-1,-1,808030,-1,379588,34274,5376,-1,41585,-1,-1,-1,-1,163265,785572,563751,-1,-1,-1,-1,-1,440635,398344,-1,666841,-1,835541,-1,683026,938618,195487,-1,-1,-1,-1,-1,-1,781665,965960,-1,-1,860613,262564,-1,924890,-1,-1,-1,603389,792399,-1,741912,-1,-1,-1,-1,-1,-1,-1,739867,-1,383165,785564,418641,-1,470138,-1,-1,659360,-1,608561,273139,944831,-1,-1,894913,-1,-1,635358,788896,25570,143953,151799,-1,-1,986964,-1,648407,214187,-1,-1,13235,880809,-1,279723,343840,455630,37442,347365,767834,-1,172228,255619,668184,297611,-1,-1,440991,-1,377545,272349,225260,587448,-1,905373,339019,-1,-1,43243,-1,168051,-1,869104,-1,-1,329097,949675,-1,967503,7221,-1,-1,710936,63555,-1,79285,-1,-1,-1,310785,584886,-1,-1,-1,811656,-1,-1,-1,387402,156330,-1,-1,-1,826417,656668,378817,525763,-1,770162,973115,-1,349536,-1,-1,-1,-1,-1,647735,122253,-1,-1,640839,-1,-1,74026,-1,-1,846779,-1,111220,-1,999704,793697,413445,447687,-1,732332,927962,-1,609853,-1,-1,846043,838672,-1,-1,-1,282812,-1,-1,-1,255996,-1,-1,-1,560123,212867,-1,-1,-1,929517,829484,538953,120756,-1,755365,-1,-1,-1,-1,884797,-1,-1,-1,-1,466069,-1,-1,539362,-1,-1,461132,-1,-1,494161,701700,-1,149342,-1,785049,-1,-1,-1,297434,655913,-1,542652,-1,473176,-1,838582,671164,130516,699454,-1,863556,776236,-1,-1,-1,203289,575766,-1,612214,11031,-1,-1,-1,-1,258382,-1,-1,333428,475967,-1,-1,898276,559114,989218,-1,960178,471699,-1,890207,-1,-1,-1,792380,206896,359589,273072,103782,259050,911738,-1,-1,427783,630477,375392,-1,258066,724482,362983,-1,457234,-1,424987,554385,-1,-1,16996,-1,-1,-1,497911,674929,969516,-1,-1,-1,738185,253853,-1,745869,-1,778515,272210,-1,-1,-1,499910,934582,696878,-1,35531,564947,-1,-1,627563,-1,297274,970910,-1,588231,-1,248073,376950,-1,-1,-1,343679,-1,-1,-1,666735,-1,-1,260357,-1,58071,-1,330260,-1,-1,-1,951973,-1,-1,518283,-1,588418,200390,-1,798449,432293,-1,16565,-1,217788,102397,-1,125125,168389,-1,579665,334163,-1,-1,199994,378456,278581,-1,449904,-1,673365,-1,785390,-1,-1,422401,-1,391050,-1,-1,531884,508448,525898,-1,-1,142564,15767,-1,618326,-1,99426,739824,967104,-1,299721,10495,63807,-1,563999,981972,186307,144831,-1,-1,-1,-1,702835,697003,320471,-1,159173,825958,-1,-1,-1,582061,379628,-1,-1,-1,850121,-1,740071,-1,281693,80166,779938,-1,-1,555950,647450,-1,32911,498932,-1,-1,953531,46233,-1,663291,510121,-1,-1,-1,581794,715217,-1,-1,493813,-1,-1,-1,35024,862186,-1,382006,-1,274958,-1,-1,127732,985543,909914,-1,-1,-1,-1,110974,628698,684347,407356,-1,438355,783775,-1,-1,-1,-1,449550,417532,778239,436556,-1,425393,-1,582631,128249,154989,-1,-1,271322,886917,381927,-1,-1,302104,-1,395914,752284,-1,884734,80870,-1,-1,-1,-1,-1,715127,951903,-1,-1,-1,-1,-1,-1,115496,-1,-1,-1,256448,754120,981920,194434,983313,-1,-1,148793,-1,142582,64787,-1,220381,334311,-1,-1,379982,14264,208547,-1,478844,251898,877033,836385,-1,83615,-1,294237,-1,-1,908852,461800,400835,250821,-1,559024,-1,-1,-1,-1,194927,-1,564869,-1,329698,976981,171332,-1,377992,-1,28656,-1,-1,-1,173999,-1,-1,-1,-1,-1,-1,-1,911742,591714,289506,433376,516425,177328,814373,-1,855391,715572,-1,396547,-1,813264,-1,-1,-1,-1,-1,-1,614548,990099,-1,-1,824029,750978,-1,-1,-1,873126,-1,262928,945816,-1,-1,995953,695546,855143,504202,512767,-1,137320,313199,-1,-1,183576,-1,-1,-1,653179,390095,599382,195717,340013,-1,413783,52101,-1,738716,568378,-1,-1,-1,-1,297425,222702,-1,799571,-1,838693,-1,-1,-1,-1,946461,-1,449809,908833,692606,-1,232733,-1,-1,321144,-1,-1,-1,-1,-1,962954,-1,820474,-1,81733,-1,-1,178091,507288,-1,-1,111085,771078,-1,-1,-1,817303,386008,531340,-1,-1,-1,992174,-1,-1,-1,298309,326773,710871,297855,672115,2615,415382,431735,-1,93570,-1,606532,-1,-1,-1,656554,751681,377052,-1,246381,-1,-1,418487,-1,151209,887877,-1,-1,-1,846530,-1,-1,-1,374946,189877,-1,461637,379161,-1,-1,968836,-1,-1,-1,-1,-1,-1,-1,795675,79954,178132,109720,807031,-1,54840,175995,776580,970453,-1,-1,195568,31057,541043,483129,-1,547250,334313,-1,-1,314634,-1,-1,-1,51226,-1,-1,346822,-1,66707,-1,685816,-1,-1,397954,-1,-1,960735,987236,971139,-1,603832,645911,-1,-1,-1,-1,-1,-1,-1,-1,102655,626122,-1,842020,62717,479059,-1,857386,291390,-1,-1,298812,-1,71787,-1,553502,-1,600713,637823,-1,-1,42293,555329,-1,-1,645938,-1,637470,-1,-1,-1,765471,-1,744411,558028,-1,606017,-1,63302,-1,620752,138862,-1,813646,628338,-1,566710,530829,633606,536839,79852,-1,-1,-1,-1,-1,851308,-1,-1,609492,-1,465391,718902,255101,883458,-1,641822,-1,-1,-1,86359,-1,250861,166143,-1,-1,-1,220890,-1,144788,-1,-1,292504,-1,511305,-1,876640,-1,503574,930369,-1,-1,822323,855462,97659,-1,-1,822459,37282,334850,-1,-1,-1,981141,179566,844075,511877,-1,-1,-1,-1,-1,503296,785466,-1,-1,-1,956466,-1,-1,474879,-1,-1,717884,-1,509476,119211,-1,150397,-1,233163,154225,-1,-1,204849,-1,299904,468359,766896,260104,-1,-1,-1,950261,-1,764358,650544,-1,-1,975041,483194,-1,297888,-1,-1,-1,-1,814056,962620,-1,924512,-1,112736,-1,-1,767277,794374,512478,-1,-1,-1,-1,-1,-1,-1,239615,921189,298166,851302,536891,65897,-1,-1,-1,303620,204413,238168,210102,-1,-1,-1,-1,-1,957001,613805,969205,-1,-1,862755,-1,-1,927626,-1,887994,-1,880374,-1,285971,610383,-1,-1,464993,-1,-1,466191,266542,-1,844406,-1,-1,-1,-1,223504,220403,-1,-1,-1,-1,-1,-1,-1,-1,473839,597626,-1,-1,134719,499084,737818,-1,753468,383649,896487,848792,-1,603531,579994,-1,280865,88774,99368,-1,928014,650259,788491,-1,-1,500712,922961,-1,-1,-1,-1,-1,-1,314260,-1,-1,818255,927558,316623,906122,133661,381946,-1,985896,-1,-1,114015,100266,-1,-1,413809,-1,626617,13333,-1,586849,-1,9439,-1,-1,484265,105507,-1,-1,-1,741050,-1,312082,-1,698081,-1,229949,-1,-1,620331,783340,-1,758749,-1,842002,-1,696155,768787,-1,32154,-1,559176,333647,-1,824172,-1,423945,-1,683336,-1,936226,336553,-1,555731,873004,-1,-1,-1,-1,698180,-1,290820,-1,-1,-1,-1,-1,-1,-1,-1,903756,485277,220239,531001,520813,781876,894947,386108,-1,-1,92017,600491,-1,-1,828148,560831,305429,392341,-1,569308,-1,345623,-1,610785,289629,-1,8324,459930,-1,913513,2614,592920,-1,288433,356595,913198,586894,-1,-1,-1,228754,592062,-1,-1,168657,285087,403847,-1,-1,-1,-1,30718,-1,-1,904176,112174,-1,-1,813764,72890,31660,232785,-1,-1,-1,29897,-1,867546,721619,138594,-1,740454,383099,-1,-1,654854,134904,-1,-1,-1,16748,636126,599718,63653,-1,-1,-1,-1,-1,-1,-1,-1,-1,34035,229370,-1,-1,-1,906466,476741,-1,178912,829596,-1,-1,-1,-1,660760,-1,659362,204373,19686,640786,745050,-1,-1,201992,-1,-1,-1,295639,459993,175765,687403,-1,-1,469719,-1,-1,-1,276412,414833,918832,-1,824471,155384,-1,196866,-1,-1,-1,103712,-1,-1,752094,466410,-1,-1,-1,603526,739307,308067,-1,946577,908744,815472,-1,-1,-1,-1,457710,508386,-1,336488,831407,-1,239722,-1,-1,213667,-1,111097,-1,533466,-1,-1,-1,-1,71236,-1,820816,-1,960278,-1,678837,468869,843303,94873,-1,103275,343067,-1,459953,-1,-1,738030,12334,-1,615654,354857,-1,-1,-1,881024,191305,659594,-1,-1,-1,728837,720455,-1,-1,370471,-1,-1,608240,459256,250493,622962,91566,-1,-1,-1,-1,-1,-1,515817,-1,-1,-1,-1,-1,-1,366547,-1,432415,79475,59837,254195,222805,91563,924491,-1,-1,-1,-1,691933,-1,-1,-1,-1,617352,502438,-1,-1,82717,-1,506151,-1,448905,939947,377382,696987,758704,386416,-1,-1,864283,-1,-1,-1,-1,940014,721566,456421,786804,481256,-1,638784,-1,-1,-1,-1,-1,809612,-1,388996,-1,-1,502822,459907,557378,-1,329161,111651,717739,-1,397323,176195,864819,209283,206121,-1,800878,768952,-1,755592,738701,65135,253040,-1,-1,-1,504902,821813,722102,770945,191875,-1,965305,-1,623556,-1,-1,47801,381036,-1,371777,-1,-1,-1,673169,149731,-1,-1,-1,620832,-1,49441,944726,171974,-1,38445,63870,-1,230517,-1,-1,-1,-1,102945,-1,-1,-1,-1,-1,151422,-1,538652,287569,929544,-1,718781,-1,562246,789632,-1,-1,-1,988685,367289,-1,858977,29576,492480,-1,811707,885222,207435,-1,-1,-1,305517,873521,384940,751220,875932,940592,-1,-1,-1,-1,-1,529526,-1,-1,-1,-1,-1,-1,-1,669215,560515,43308,941514,686828,181286,836316,713655,643163,591732,585859,550958,-1,-1,-1,743827,913977,-1,959569,405305,-1,687459,56614,-1,-1,-1,-1,452760,854613,318856,-1,-1,-1,-1,558512,-1,730396,-1,-1,280067,-1,-1,-1,-1,822483,177330,891951,-1,-1,111995,-1,-1,-1,-1,471822,-1,-1,519786,193394,-1,-1,-1,-1,705821,758072,176516,-1,-1,250693,485935,93186,-1,-1,653528,-1,-1,-1,893548,712329,-1,581532,498946,-1,146655,342954,583694,317444,115962,-1,357094,-1,-1,-1,-1,-1,-1,781594,456796,246067,293226,-1,980410,-1,-1,886326,961832,29933,185315,115070,453795,-1,-1,152366,-1,553356,281683,-1,-1,-1,570357,40085,-1,-1,511693,441880,-1,731341,233546,-1,48152,-1,-1,-1,974331,-1,390547,717923,-1,-1,526661,243119,361459,-1,-1,-1,88676,-1,224357,-1,-1,363694,-1,839942,628441,925223,-1,-1,605679,265791,523063,870934,994223,815857,-1,-1,337739,-1,656877,-1,158912,602924,911574,682656,804994,-1,857738,369734,-1,29270,-1,-1,621792,644675,420188,45300,320999,-1,-1,956711,-1,-1,-1,872203,-1,935773,227774,-1,-1,-1,65892,527855,101474,-1,-1,834979,483752,-1,930994,-1,-1,984853,173388,-1,-1,278745,-1,-1,122478,631495,382616,695098,-1,-1,909067,213655,866010,426052,19590,383198,108214,-1,761065,334668,906270,433908,-1,296127,-1,509256,957701,-1,-1,767790,945418,-1,-1,-1,599292,760815,962279,815421,564180,510067,655083,477069,621190,462382,-1,969090,737972,795719,219884,-1,-1,135207,-1,298962,-1,-1,866820,632064,-1,603888,-1,-1,106609,596882,-1,-1,53233,768919,395439,758604,-1,-1,821679,-1,-1,-1,918587,201038,864158,53375,651963,781728,-1,-1,-1,607491,-1,-1,-1,-1,945680,148886,-1,-1,201769,394080,-1,-1,913797,-1,312126,264936,-1,115435,999123,-1,281028,-1,-1,-1,-1,906738,687751,-1,-1,-1,601374,-1,452553,125975,-1,-1,-1,-1,918517,986436,-1,988317,748208,-1,756657,-1,-1,798635,796518,743685,-1,-1,-1,-1,-1,-1,-1,-1,948248,-1,645066,361878,138298,735418,780431,-1,-1,900489,783604,239863,-1,515009,-1,-1,65784,-1,288661,-1,624821,918624,-1,820554,-1,-1,-1,324904,102975,245169,790158,-1,944904,948694,648419,-1,-1,-1,-1,416999,-1,183730,-1,-1,359737,45629,-1,944190,-1,-1,266395,-1,-1,-1,813974,548354,112481,-1,648463,-1,-1,-1,655590,-1,941912,159196,897234,-1,387214,73021,-1,-1,-1,831484,-1,-1,909604,705102,709057,47312,186981,-1,412405,-1,968971,-1,414723,-1,-1,708006,-1,-1,-1,-1,35215,266797,856530,800241,-1,839644,-1,-1,-1,377939,-1,-1,-1,-1,-1,165427,552132,-1,-1,-1,-1,-1,-1,855654,994371,-1,-1,149950,-1,642724,-1,-1,-1,-1,953888,-1,-1,-1,694246,-1,358665,90199,820774,168323,774321,-1,783132,-1,-1,-1,-1,414999,-1,-1,-1,-1,324833,101114,-1,687365,994948,419597,733727,600723,103739,-1,-1,-1,260388,774941,-1,421863,671465,-1,923293,-1,910271,897143,735520,46236,223991,-1,-1,215642,383903,-1,-1,-1,-1,-1,-1,664336,-1,683086,297280,399079,322604,313410,-1,-1,-1,634619,949178,104954,-1,-1,-1,-1,646222,326583,-1,-1,-1,799701,324566,-1,70306,-1,776758,-1,592018,-1,-1,-1,943964,-1,-1,-1,-1,173743,875809,-1,-1,-1,484649,220969,836148,680403,-1,-1,-1,313394,477413,-1,-1,264949,-1,464018,834140,-1,233746,-1,-1,52228,-1,-1,-1,26195,-1,161091,456932,12665,63685,904409,947405,931311,-1,-1,-1,-1,645346,625895,92587,995725,624231,553276,169777,-1,626709,195929,-1,611555,-1,-1,-1,-1,195800,-1,472479,697170,-1,368333,2512,-1,485163,597137,873678,928803,79435,-1,-1,623500,-1,-1,898032,278390,264466,-1,347567,855002,-1,-1,-1,-1,877607,-1,-1,286289,-1,385206,-1,947788,-1,252744,278455,-1,461566,716710,555708,-1,-1,341508,808261,-1,-1,724816,790869,-1,23448,235035,923844,-1,779239,-1,-1,782620,578367,-1,423699,-1,-1,521889,709751,902732,-1,344750,-1,179358,948347,-1,-1,974448,433964,-1,-1,645956,-1,-1,-1,-1,-1,-1,183683,706278,-1,162476,810934,889094,-1,949040,-1,138549,196043,120082,-1,182408,-1,-1,429627,925521,829769,-1,-1,-1,-1,147694,-1,596728,451420,13429,162781,69380,-1,265025,457456,-1,-1,374913,990399,-1,-1,34075,586973,-1,556899,594559,992443,33390,171776,186191,-1,-1,-1,169593,206624,-1,364397,21438,-1,139868,805970,396519,-1,-1,-1,65020,166568,-1,962665,365993,-1,-1,-1,-1,576712,-1,-1,35831,-1,546770,-1,-1,-1,-1,376577,725526,-1,365651,-1,-1,959197,503776,-1,616642,967025,567847,290764,-1,64024,588340,-1,317112,-1,992639,673525,130688,672937,995216,-1,197525,575490,85534,-1,-1,-1,-1,-1,520490,-1,187825,325150,-1,462955,433519,708521,552391,-1,-1,373778,979394,-1,174909,337839,-1,-1,550311,275494,45712,118140,57859,-1,898187,420085,-1,-1,-1,839068,770518,284523,538950,-1,-1,811263,-1,327772,-1,-1,-1,82585,381851,-1,-1,850486,782962,-1,-1,750330,-1,991433,705847,910142,821604,853142,-1,595490,222710,-1,-1,197641,541830,259031,-1,-1,-1,-1,21546,307226,475432,-1,971150,376218,-1,-1,-1,-1,567663,-1,20180,397943,-1,-1,728821,362815,-1,374665,-1,944814,-1,800547,-1,398727,-1,825589,-1,-1,-1,-1,585032,-1,-1,-1,-1,-1,-1,-1,555588,493410,-1,-1,651075,-1,602141,115436,620988,-1,-1,37640,-1,-1,-1,767775,-1,234564,-1,789186,268738,517089,686547,798008,721275,-1,-1,-1,225112,682988,127798,111905,657630,-1,695526,-1,-1,156226,-1,108692,77139,-1,41201,-1,24367,-1,-1,881910,162649,-1,425089,117631,201825,790313,-1,-1,-1,-1,-1,-1,-1,-1,-1,184496,-1,-1,-1,429539,801716,813569,-1,866305,714401,-1,-1,801846,-1,-1,331278,-1,488135,-1,-1,-1,-1,-1,-1,924295,-1,-1,177200,-1,234235,34834,714959,702908,382430,326134,-1,-1,-1,-1,-1,320086,-1,-1,234827,-1,535281,18928,-1,122978,-1,-1,540385,698573,-1,-1,72902,-1,133473,-1,-1,-1,982729,208427,201976,-1,956841,-1,293722,676345,-1,399445,-1,604180,-1,251217,-1,-1,-1,279662,420584,-1,-1,414091,381136,697268,52856,-1,-1,76659,136782,-1,-1,947084,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,412174,-1,-1,-1,-1,236367,-1,126191,-1,-1,357087,165194,327429,-1,-1,-1,-1,-1,-1,-1,-1,-1,722731,-1,-1,333834,420849,974038,487550,46639,943464,-1,-1,-1,848048,-1,-1,158602,551768,844895,770976,-1,-1,369994,36785,327440,979757,313173,-1,-1,130929,352040,-1,177508,-1,-1,-1,-1,872848,93845,-1,-1,-1,858014,410451,642735,264234,855617,164482,663289,-1,-1,-1,-1,279555,194244,605764,765228,113570,-1,-1,252708,-1,652930,-1,-1,835575,317590,22615,-1,993673,-1,-1,-1,-1,80085,959692,-1,564883,892077,-1,276621,-1,-1,349222,974248,259477,-1,171945,-1,501386,515281,-1,-1,-1,-1,-1,-1,-1,-1,393717,-1,365472,-1,888105,-1,-1,-1,-1,-1,-1,-1,-1,-1,261579,846011,63029,-1,-1,337827,-1,-1,285392,63614,917316,237091,696771,-1,878032,-1,415657,716181,-1,718417,-1,-1,317544,-1,199651,656017,7114,-1,-1,263048,314106,-1,125292,867511,512266,-1,-1,840527,-1,202897,657465,-1,628266,53983,744039,606348,848726,-1,-1,457885,-1,543722,-1,964103,-1,-1,490698,420835,-1,-1,332351,-1,-1,219557,342180,616793,342511,473835,-1,-1,-1,136789,-1,-1,-1,-1,483108,444745,923172,999540,-1,-1,802345,140434,-1,-1,-1,-1,587193,598940,-1,-1,403121,-1,-1,-1,43609,519338,30106,777640,657266,-1,-1,-1,-1,-1,786080,-1,443521,-1,989346,211794,-1,-1,-1,-1,-1,667362,-1,-1,112125,668110,287682,917946,-1,-1,137459,516237,483399,-1,144153,-1,836975,-1,-1,-1,820009,796620,-1,833404,610152,-1,108381,-1,-1,-1,433860,469743,179128,27015,-1,274341,129577,-1,-1,-1,972791,-1,-1,-1,-1,-1,643705,924355,20272,546504,-1,-1,-1,812693,-1,947110,-1,391647,190450,720224,613712,-1,612431,185600,232430,-1,-1,-1,-1,582412,-1,-1,-1,663763,312907,606929,308542,108850,-1,-1,849426,803827,-1,-1,-1,494452,-1,-1,-1,-1,-1,-1,837868,-1,948945,172178,682304,-1,-1,-1,314135,580888,327058,226036,607172,123230,-1,-1,316571,86461,261153,-1,339429,424443,610094,-1,933385,-1,-1,889328,-1,473699,661454,946348,-1,176908,-1,887483,718300,-1,294070,437808,-1,-1,-1,734717,160717,888282,623132,603834,618033,13551,-1,495009,-1,364088,29256,-1,-1,-1,818355,-1,-1,-1,698513,415734,-1,-1,773737,42678,-1,-1,-1,-1,600656,893006,-1,-1,-1,-1,-1,356250,715178,804978,-1,400552,455763,-1,-1,406560,-1,-1,431463,561193,-1,-1,727830,164223,-1,216609,172512,330230,-1,546805,671367,-1,-1,608390,-1,-1,75137,-1,-1,-1,689139,209538,942770,350453,567525,-1,131190,694058,519870,231286,-1,112166,-1,628150,108060,-1,960651,-1,-1,-1,933905,149841,194094,906438,340045,-1,253288,543958,129131,-1,418692,-1,-1,490340,-1,-1,124797,910286,144265,478102,-1,310606,781839,885456,393908,-1,406774,-1,-1,-1,668352,-1,437528,62670,-1,-1,695268,-1,670563,441069,205296,-1,-1,868769,299210,-1,901021,-1,-1,312570,-1,-1,926676,-1,-1,505120,-1,-1,247008,-1,-1,-1,874006,-1,-1,-1,-1,917789,-1,-1,710603,848278,-1,586976,-1,985265,-1,218998,352113,-1,153852,-1,-1,393379,842557,-1,231393,240806,625323,-1,-1,-1,-1,452548,108570,-1,615717,840244,285940,291878,920332,-1,564769,-1,875433,-1,213864,307279,-1,881309,-1,-1,-1,-1,-1,637856,-1,743277,-1,-1,-1,934021,-1,-1,221620,-1,647658,-1,-1,548498,-1,-1,594254,-1,-1,-1,213273,-1,-1,491240,492540,391684,-1,504830,909645,664403,977582,-1,792531,183412,-1,-1,-1,596104,-1,-1,-1,940537,-1,-1,36964,-1,905440,351240,846131,361951,592851,330269,347614,869623,-1,148984,553553,-1,237336,-1,820467,735748,-1,334631,-1,-1,-1,216806,-1,-1,674082,476025,-1,-1,-1,701648,-1,984623,-1,-1,-1,-1,-1,-1,-1,-1,174217,424030,365261,-1,51666,-1,-1,932815,864169,851912,-1,673113,415073,-1,523424,420896,-1,-1,784868,-1,-1,-1,286505,-1,59945,123563,402745,-1,-1,613576,-1,-1,851948,891052,-1,-1,-1,-1,-1,-1,332180,-1,460171,-1,334474,173880,-1,387209,-1,-1,118885,-1,46724,652686,17037,-1,239241,134051,286327,817571,822603,-1,516848,433801,447669,373193,-1,608117,-1,316071,-1,524706,-1,319743,-1,-1,-1,-1,147799,729014,-1,135862,-1,-1,-1,693346,60529,-1,706876,447750,304599,640138,-1,-1,-1,-1,-1,686806,544511,35761,459604,60263,-1,-1,-1,-1,-1,898790,-1,919014,-1,-1,243476,365580,182631,-1,-1,177813,717518,868503,-1,698576,258092,546708,-1,-1,405744,592398,787146,-1,-1,382397,-1,6218,554,-1,464569,-1,857997,-1,230198,-1,226485,938760,-1,-1,523253,859960,543902,-1,-1,-1,624238,504154,-1,245667,582625,-1,523163,-1,-1,108362,-1,394984,213660,-1,-1,736968,424694,-1,967065,-1,-1,-1,257624,61832,-1,-1,-1,679199,-1,-1,427169,327477,-1,212734,-1,-1,573370,360185,900801,-1,681196,689773,-1,829483,-1,124867,-1,238978,720477,-1,-1,-1,-1,645656,887497,545837,312237,82565,-1,-1,965541,143844,-1,-1,792778,-1,-1,-1,-1,258044,514359,-1,-1,-1,-1,-1,115421,918402,-1,-1,246985,-1,-1,629335,-1,172571,882916,-1,540717,-1,-1,-1,-1,762041,-1,213679,351236,-1,514578,-1,597771,112560,820899,727132,814005,250234,-1,-1,923992,515294,-1,-1,-1,158191,-1,-1,273345,10522,262274,-1,-1,400717,550069,591051,142470,830518,-1,-1,-1,474363,-1,584970,170036,-1,-1,-1,709115,384167,142655,796835,-1,-1,-1,-1,318291,-1,-1,464459,888351,-1,-1,-1,995062,-1,160052,334825,743259,-1,-1,-1,-1,314247,692036,-1,511564,679932,593920,846841,-1,146499,437472,977999,86443,-1,659222,-1,-1,-1,-1,-1,-1,-1,610377,357042,-1,-1,313516,118712,-1,-1,-1,487819,861257,697095,-1,284184,-1,-1,294103,763092,106664,272359,-1,286895,-1,-1,785467,970312,118523,-1,-1,943735,-1,116126,-1,316505,385378,360826,901315,457399,-1,-1,-1,520023,801505,-1,866575,6295,288957,129704,-1,789302,103450,535066,-1,-1,-1,595318,979210,329055,651892,-1,-1,-1,99269,571803,-1,-1,462910,455054,155635,-1,-1,977169,-1,-1,-1,231607,193435,-1,462305,-1,527146,-1,-1,590182,410072,-1,-1,-1,233939,-1,723937,-1,227374,-1,201051,581107,-1,296225,607003,-1,87130,840148,173084,-1,382153,205782,-1,826957,8734,-1,498085,-1,-1,769589,30908,19795,297010,-1,-1,-1,-1,520475,247078,-1,690319,-1,-1,-1,956633,-1,569864,-1,161632,4154,-1,496821,435713,-1,37583,991119,530626,504670,-1,-1,947918,508974,709013,-1,-1,-1,-1,-1,589307,-1,-1,-1,-1,244996,-1,60594,93849,-1,273378,572794,810929,273603,-1,-1,235067,-1,-1,-1,462279,292380,-1,865205,260890,-1,-1,460929,-1,277443,357375,507315,400999,629966,-1,283241,-1,961600,-1,-1,-1,210527,-1,135103,65976,682545,134823,799364,-1,-1,-1,-1,679102,-1,-1,-1,762798,-1,-1,-1,-1,717551,542099,809222,-1,363049,85761,982498,396167,-1,576161,236156,-1,533275,952752,-1,706603,-1,893658,97781,67757,124443,-1,54913,-1,177741,735988,937774,872810,-1,590051,316713,-1,-1,321819,-1,-1,964305,-1,-1,-1,140524,698629,678320,808873,312189,-1,850551,441503,-1,-1,-1,-1,-1,-1,990761,-1,134014,-1,-1,-1,-1,-1,228609,857195,2780,823471,807369,-1,-1,-1,725727,-1,-1,597663,-1,-1,-1,540855,995970,-1,-1,-1,-1,-1,641671,197962,-1,-1,806877,-1,-1,-1,638804,-1,-1,-1,200228,-1,-1,610479,711218,-1,26182,-1,659723,-1,733393,-1,-1,802874,-1,137798,645567,-1,163133,-1,533866,661542,425618,986745,437318,-1,-1,-1,149160,-1,584119,148708,-1,-1,-1,503207,915730,367050,-1,-1,-1,382033,378609,-1,244833,915273,913868,899171,-1,2051,228937,527639,-1,705140,-1,296007,10741,-1,-1,530364,867687,716306,-1,175488,-1,121201,-1,-1,-1,390780,412853,416802,-1,-1,-1,334200,749773,-1,761612,551002,-1,153954,-1,998188,-1,-1,575831,-1,511281,436214,-1,-1,747685,244862,-1,-1,342385,486438,652264,438733,-1,505724,-1,-1,94831,-1,717886,152204,349397,-1,398407,530731,711725,-1,492552,768808,-1,-1,-1,-1,906729,-1,-1,-1,447513,-1,200852,-1,-1,787351,955265,-1,398027,276463,430486,894498,-1,409234,695614,982141,585555,-1,845142,-1,699473,624305,823468,413471,685284,55519,331297,651593,543454,41764,271642,64987,97761,-1,-1,-1,684994,588748,-1,-1,164848,-1,-1,-1,500081,198424,116168,-1,286445,352001,741167,69611,-1,-1,493467,924204,-1,588869,879963,-1,-1,244507,-1,280613,571877,375215,211731,20203,-1,559494,-1,844617,-1,974939,900363,-1,-1,-1,984681,-1,-1,379262,868183,-1,963995,-1,276686,-1,-1,187536,-1,808167,-1,455621,488682,333028,-1,-1,617294,893020,925517,32011,-1,699024,-1,397335,-1,-1,664695,535752,-1,463217,39764,299030,-1,333543,-1,574450,768245,355684,-1,-1,-1,147774,-1,-1,598464,532479,685845,-1,-1,585338,-1,-1,-1,359242,499475,914416,-1,-1,-1,3984,-1,790221,569757,-1,145765,-1,430149,-1,1602,553194,417164,-1,-1,-1,574115,-1,-1,585276,182590,-1,364655,889102,956948,134855,778550,-1,-1,-1,-1,-1,-1,508309,-1,-1,98345,-1,149229,-1,-1,-1,-1,-1,792937,-1,-1,627127,202487,-1,992799,-1,134283,265059,-1,567278,-1,-1,574802,853455,140129,157508,-1,-1,463195,-1,-1,377126,-1,-1,45012,252969,541986,557501,-1,-1,-1,-1,-1,145231,-1,900526,-1,40048,701009,-1,-1,561741,354079,-1,4178,516227,247207,-1,-1,873907,125190,-1,3048,683274,-1,462025,-1,278497,-1,-1,-1,888083,-1,412390,-1,160169,-1,597722,-1,188355,-1,-1,-1,508086,97082,-1,757130,-1,-1,-1,41469,-1,-1,-1,-1,-1,43907,-1,-1,-1,-1,301631,332514,-1,-1,-1,952941,-1,-1,-1,-1,-1,-1,961521,32367,137837,-1,-1,721296,246803,-1,-1,250215,523039,-1,-1,381812,856670,100405,934859,-1,293645,-1,-1,-1,-1,-1,623117,721290,336816,193842,446376,-1,170306,173679,445740,912396,874680,21259,-1,-1,-1,-1,-1,24319,480063,-1,-1,447266,113407,352304,827788,-1,63737,-1,-1,-1,-1,-1,-1,650003,-1,-1,59415,719283,-1,-1,983528,-1,590600,890784,13129,103829,-1,118582,-1,995339,45076,-1,-1,-1,-1,502911,-1,73231,730270,678263,403701,791045,528027,-1,719836,658411,-1,228385,655558,579609,-1,925562,261617,-1,-1,-1,360627,-1,-1,-1,516348,931097,-1,492600,-1,-1,773673,-1,507339,921703,895182,-1,-1,-1,371840,812227,374193,-1,-1,639891,-1,390021,414201,-1,-1,-1,771915,413557,-1,921672,-1,429365,-1,462580,808504,335095,901504,99817,-1,89071,-1,425275,-1,586526,874228,876845,650495,843035,795380,-1,-1,-1,-1,587258,-1,-1,-1,-1,-1,335876,-1,-1,-1,-1,124350,-1,132676,-1,-1,-1,536153,627974,-1,-1,473873,196798,-1,-1,-1,303688,590885,248081,318868,-1,-1,-1,-1,-1,-1,135353,608438,826477,985489,-1,578416,361232,149991,-1,-1,-1,-1,796511,-1,208984,-1,-1,170350,-1,893299,17936,559749,271438,-1,773690,713875,-1,99354,-1,20906,-1,323210,881468,435568,-1,814513,-1,-1,-1,865305,-1,492508,683886,448732,-1,189829,-1,-1,-1,881060,-1,-1,-1,521407,223973,868851,512749,-1,-1,68565,276817,-1,724736,951287,842456,-1,735746,-1,-1,-1,-1,664407,54514,-1,881002,886311,-1,-1,156759,-1,124220,330150,798734,902972,-1,601011,-1,311206,-1,-1,606802,-1,991117,-1,178099,809285,647357,686579,-1,-1,358185,931475,216601,-1,79793,-1,-1,-1,-1,-1,-1,678417,545696,641333,-1,424858,-1,-1,759026,-1,-1,-1,974773,657017,352537,-1,887105,-1,986002,-1,-1,-1,-1,-1,1765,-1,977351,-1,460523,-1,-1,-1,535726,977436,550695,727440,-1,-1,683149,-1,-1,595119,956025,863117,-1,-1,895492,645348,-1,-1,-1,64145,259366,941887,613883,-1,-1,190832,577944,-1,676573,833654,-1,-1,433657,91317,-1,395876,-1,66235,57429,-1,-1,805062,-1,-1,-1,540400,-1,-1,-1,881412,258539,-1,894002,203565,-1,988080,-1,-1,724023,880833,-1,225991,222318,902354,484672,353608,-1,-1,-1,-1,167622,-1,442624,520880,-1,-1,-1,-1,453313,-1,-1,-1,854716,816349,48325,435573,-1,320789,962493,-1,-1,-1,451993,-1,-1,-1,716143,666661,-1,-1,834614,103975,203472,879092,390944,66465,499901,157967,-1,884238,264760,-1,-1,446478,-1,258467,-1,16302,266290,286207,-1,927726,-1,-1,64451,389278,-1,-1,231263,117806,895390,164246,737713,109862,-1,-1,-1,-1,763313,12872,-1,264133,61834,-1,-1,775427,968152,990262,-1,264534,-1,-1,-1,462190,-1,-1,-1,-1,451477,722954,-1,-1,74492,113199,977706,984507,71596,64933,815194,-1,-1,-1,816149,9581,-1,320984,-1,-1,719010,737168,300575,-1,719962,251597,-1,-1,-1,614173,-1,805487,471918,-1,693129,-1,177160,166545,868162,-1,-1,737817,-1,-1,246822,914208,-1,-1,-1,-1,417863,-1,196369,4543,227521,-1,802907,-1,517394,44296,-1,-1,-1,-1,-1,-1,949545,624912,263833,-1,540756,348246,-1,565196,-1,-1,-1,733113,33221,-1,674011,-1,801302,-1,-1,641581,-1,-1,810009,321331,598029,829460,-1,357501,-1,802461,-1,684437,556325,-1,-1,139451,546012,-1,-1,-1,918066,142493,382669,-1,-1,-1,847268,-1,-1,-1,410573,766679,606932,-1,-1,-1,528925,76623,-1,-1,836524,-1,-1,534641,-1,-1,718199,302395,-1,315791,-1,-1,223833,-1,341268,-1,-1,-1,-1,-1,738233,627481,97505,-1,-1,-1,-1,631076,-1,-1,740027,204165,-1,-1,886773,773427,-1,418363,77406,-1,151734,936685,428149,203896,1689,469205,40613,-1,-1,474794,-1,659668,-1,-1,-1,-1,565776,-1,256254,920218,-1,-1,-1,314261,48804,-1,914533,-1,-1,836480,938257,924970,-1,-1,-1,-1,69735,284891,244977,-1,-1,-1,-1,-1,-1,388739,516111,55956,-1,120664,948122,-1,-1,-1,9028,271666,384926,-1,-1,973847,951857,105280,677252,-1,-1,62838,129307,-1,-1,476926,630638,205839,568581,878248,-1,-1,-1,450012,-1,-1,996146,-1,-1,281408,457310,198274,-1,-1,-1,774068,293447,486484,948018,513573,158242,-1,271939,780353,-1,-1,176238,376380,55755,-1,733303,439616,189025,-1,471997,403102,-1,-1,985677,-1,-1,472412,-1,27144,260105,-1,-1,24714,519570,-1,75555,-1,451039,-1,-1,211803,-1,-1,207674,700615,-1,-1,511634,-1,-1,-1,-1,7523,902423,578629,559960,88689,503842,943214,710746,77708,-1,-1,573698,214578,-1,273477,497917,-1,-1,-1,139245,594926,-1,469947,183555,165001,-1,-1,-1,255818,-1,-1,-1,56468,625794,491005,117101,-1,778369,-1,845334,595219,445720,390955,903561,-1,186919,-1,514072,434199,204221,-1,949641,400881,87280,674872,297101,-1,-1,-1,733151,606128,-1,-1,-1,-1,-1,-1,644023,-1,-1,-1,706453,-1,895974,-1,-1,-1,-1,-1,588899,233432,36041,-1,17773,466587,-1,-1,924648,-1,285415,-1,985483,-1,703923,225744,576133,-1,234962,-1,-1,858837,-1,290468,740110,890679,-1,176872,-1,-1,553644,307012,-1,523733,-1,-1,338794,-1,-1,828925,106745,588141,-1,-1,218539,-1,243426,20713,-1,983416,-1,136853,417579,-1,627802,-1,775307,-1,702357,909998,-1,349629,-1,-1,604607,768840,275596,-1,782627,475345,964775,648983,-1,42062,705004,12411,-1,-1,-1,-1,-1,-1,900098,-1,-1,-1,-1,-1,451307,518556,-1,-1,-1,861075,636515,326559,884348,-1,-1,-1,872504,471516,489374,-1,711046,-1,-1,139184,468125,772152,91781,772938,-1,13134,-1,937084,-1,-1,638278,791299,521426,-1,-1,-1,-1,336627,-1,413842,166208,382621,884747,922406,56601,-1,-1,-1,-1,333911,988075,-1,852782,-1,954574,-1,-1,573052,-1,623943,368354,-1,-1,137162,764467,-1,231529,-1,-1,524528,636180,315169,407502,856413,139820,998478,923163,982177,900603,-1,-1,-1,-1,-1,-1,-1,-1,-1,293904,674576,281022,317117,-1,-1,-1,853068,-1,-1,-1,-1,69704,-1,326299,-1,-1,-1,106661,304941,288057,720441,681031,-1,-1,872039,-1,979795,-1,-1,-1,809266,951647,274255,952492,297531,745669,-1,959493,-1,-1,884008,628296,-1,383203,745852,-1,4608,-1,-1,-1,869252,808256,210660,-1,-1,189523,-1,-1,-1,-1,-1,-1,-1,-1,957037,-1,842858,801861,133046,-1,-1,122776,602873,957693,-1,-1,-1,-1,-1,-1,-1,729807,626126,345367,931056,-1,-1,-1,-1,-1,-1,743190,343003,-1,805735,-1,750077,-1,-1,282906,430102,215398,-1,-1,591339,401926,329495,-1,761076,339223,-1,157559,253930,-1,550164,840950,515611,-1,-1,-1,-1,132691,393218,-1,952977,-1,560702,464532,556005,227213,-1,331020,571715,-1,-1,-1,-1,949369,857571,-1,711119,962399,504542,392878,-1,-1,979085,504271,-1,602118,926535,426724,-1,282891,-1,-1,-1,627274,692854,-1,18858,326890,314301,699401,-1,-1,-1,-1,-1,59816,-1,862009,-1,975398,-1,-1,150123,-1,306723,663412,580441,815473,-1,167215,788503,-1,-1,176633,-1,-1,-1,-1,-1,748896,-1,579475,-1,768133,-1,438501,-1,-1,934614,358346,791974,-1,482547,40645,731302,-1,897954,83142,-1,-1,-1,-1,199938,173119,-1,-1,200132,-1,-1,-1,423563,-1,740798,-1,-1,-1,284947,576737,-1,-1,-1,-1,906591,532556,900499,195307,-1,-1,-1,465025,-1,-1,-1,-1,-1,-1,-1,-1,290794,904361,-1,114697,410653,-1,-1,756451,-1,146756,702597,-1,599259,225161,-1,946822,83044,582573,-1,959938,876177,-1,-1,-1,587275,-1,-1,683131,-1,756527,-1,972545,103971,-1,-1,-1,-1,856654,-1,-1,566864,-1,595667,365855,-1,-1,685705,865569,168783,-1,-1,-1,-1,830268,409846,68682,350600,-1,-1,1996,901369,875594,-1,-1,13730,658526,-1,559687,450487,949219,-1,-1,517292,764190,870235,85272,-1,-1,-1,632599,887381,-1,-1,-1,-1,95609,224809,-1,523918,496275,259908,657270,802921,-1,-1,249993,426009,-1,856166,379996,650813,-1,880086,-1,-1,-1,-1,623427,5838,-1,-1,-1,-1,-1,924252,-1,219343,151148,970654,617897,-1,383299,-1,546824,135067,-1,-1,362881,-1,-1,-1,-1,255244,-1,-1,295627,-1,294728,549188,-1,-1,664657,-1,-1,-1,-1,794107,-1,-1,443024,574467,906527,724687,-1,-1,-1,-1,566847,-1,72262,-1,-1,-1,-1,371202,-1,738901,-1,236445,979020,-1,484240,353803,466716,550756,867929,-1,-1,-1,664831,356757,-1,-1,-1,549698,135936,-1,-1,-1,558633,-1,-1,687469,-1,-1,590588,194054,-1,435590,-1,139802,954022,-1,-1,-1,-1,-1,-1,-1,682429,-1,133097,352028,-1,184767,-1,-1,-1,-1,772317,324467,110682,895935,267712,894033,285425,663917,550206,915516,382401,-1,-1,888874,828339,-1,704302,-1,-1,728248,-1,511278,-1,994515,191528,861857,64989,297073,-1,243751,-1,292206,-1,452078,-1,533689,695243,-1,-1,-1,-1,-1,885036,-1,-1,-1,-1,-1,-1,-1,129767,-1,-1,-1,800840,886506,135752,-1,-1,865304,979641,184232,-1,331911,664356,-1,-1,618639,924934,-1,-1,-1,-1,-1,277568,-1,-1,-1,493098,-1,-1,-1,660036,-1,816012,-1,467776,251218,-1,-1,-1,-1,-1,370549,-1,690422,123691,-1,-1,-1,103960,527014,511040,257004,786602,206465,939201,923589,-1,-1,-1,373583,-1,97269,-1,109213,486671,608429,-1,-1,791187,-1,-1,289243,-1,406654,837864,-1,589466,-1,870133,286789,-1,750963,279943,-1,756355,-1,-1,353310,999016,-1,-1,419405,-1,423617,-1,-1,34643,756434,-1,-1,-1,-1,-1,-1,550576,92602,460933,903974,-1,-1,-1,-1,-1,199249,-1,551117,-1,534502,869996,-1,139576,544235,-1,-1,-1,502996,-1,552786,546594,938150,297201,94564,980879,-1,654100,227238,-1,45553,-1,476458,-1,445653,-1,-1,914249,495795,-1,373675,-1,442910,-1,-1,-1,-1,-1,-1,454166,201250,-1,-1,-1,812231,-1,98422,479920,-1,-1,126623,86668,765157,-1,169331,-1,521507,-1,95228,912735,518616,302732,-1,-1,-1,-1,-1,670506,198458,778367,889443,-1,-1,-1,-1,-1,-1,-1,-1,609527,96728,-1,129532,-1,708775,-1,685750,-1,-1,190202,-1,-1,-1,519606,28413,-1,509074,583937,271370,73795,-1,-1,164003,53255,917673,-1,-1,-1,834299,-1,-1,-1,-1,-1,15202,-1,178301,180935,-1,-1,43859,178626,-1,-1,389698,-1,-1,51217,-1,-1,725407,-1,721909,52162,-1,-1,440041,-1,-1,442930,-1,819048,529978,890349,-1,365633,-1,-1,581781,-1,-1,522149,-1,-1,-1,267976,-1,862930,662791,-1,-1,-1,-1,-1,790464,-1,998653,907507,-1,892231,-1,151592,-1,562010,572681,-1,338109,-1,339879,-1,-1,686818,-1,-1,-1,-1,-1,-1,609969,-1,-1,-1,-1,100901,805178,850114,681213,260043,-1,-1,467199,-1,-1,-1,-1,328527,-1,320823,-1,898997,-1,977017,-1,-1,51589,151698,-1,51630,195027,931491,15945,916023,86105,-1,399333,783786,-1,212655,-1,-1,600838,-1,-1,871869,707828,265738,-1,-1,68269,393129,337271,-1,656583,-1,-1,-1,974769,-1,461947,-1,495023,159178,50622,251418,225318,209140,-1,-1,436390,288326,-1,864446,916311,-1,279899,-1,924123,734555,-1,-1,235008,-1,-1,310280,385417,-1,367407,-1,410459,963487,-1,-1,-1,-1,-1,482391,903191,-1,842906,616717,518745,-1,862063,-1,-1,-1,794708,967374,685976,723008,-1,262719,266814,-1,68657,-1,-1,324856,906712,-1,-1,-1,-1,248347,-1,30323,858815,973772,153923,-1,-1,948000,-1,183236,-1,-1,488493,389606,607895,427383,8691,-1,232633,-1,-1,753714,-1,367820,632580,-1,106802,-1,-1,188069,29008,515985,-1,-1,933389,-1,110150,760089,752625,315,113700,413945,-1,-1,-1,-1,320636,275388,-1,-1,238956,-1,271163,-1,-1,583306,678502,792518,242421,35672,-1,897483,-1,-1,729531,543786,-1,254100,723862,782780,204652,117496,575575,-1,-1,152530,30728,68447,-1,362960,-1,810668,918598,360813,923630,-1,562458,428582,-1,474489,-1,-1,-1,737141,805328,-1,337502,-1,448137,-1,-1,829783,-1,841009,883209,508094,94664,581110,-1,742215,286157,695534,-1,588237,313585,913062,-1,-1,-1,-1,-1,-1,-1,148273,-1,-1,-1,-1,451915,-1,-1,-1,-1,-1,708747,-1,-1,151990,-1,-1,-1,-1,113663,926737,-1,729722,330160,-1,27674,-1,264661,368241,829187,-1,-1,91478,-1,478459,909382,-1,-1,-1,249584,663731,448228,-1,-1,787629,-1,-1,-1,344205,-1,761275,-1,288168,576193,202135,-1,-1,-1,-1,539954,-1,147746,48253,612995,579713,196985,941812,-1,-1,-1,-1,-1,-1,911088,-1,-1,-1,218752,442130,872624,919500,848403,789970,815574,828988,-1,507924,129595,-1,646848,-1,187162,60399,-1,836963,242380,-1,965348,-1,327385,626372,-1,-1,435505,340544,116573,-1,500392,184211,-1,-1,-1,785606,1218,-1,707244,-1,603836,242193,276249,834634,571379,-1,-1,860316,-1,839799,806677,298877,33090,112813,408969,-1,-1,-1,4443,606463,-1,-1,835168,-1,-1,-1,233026,706549,803528,381750,-1,-1,474680,-1,-1,-1,-1,-1,503532,984441,-1,121015,33258,264849,-1,95381,464262,478258,168062,-1,495188,-1,-1,455306,-1,119325,-1,850870,-1,-1,821577,45590,947845,-1,833779,784721,-1,-1,845105,-1,-1,-1,780555,951541,580113,-1,462248,233092,-1,-1,334224,-1,-1,850159,-1,941593,19175,497706,-1,968588,-1,160081,-1,-1,926011,337193,366401,841905,275167,76012,397567,-1,414244,-1,-1,822165,618444,-1,711606,-1,-1,681855,623305,219953,378501,-1,210412,-1,641423,157066,-1,-1,418089,-1,962559,88571,-1,415909,391047,188625,-1,963843,-1,98145,919897,323229,-1,297701,-1,732702,183972,-1,-1,306466,-1,-1,-1,-1,884518,-1,599271,-1,-1,-1,-1,763004,-1,527374,-1,-1,-1,965259,62526,573861,171850,-1,848954,217044,-1,752700,584061,257612,-1,-1,173885,617410,295079,-1,297817,-1,-1,839166,687860,886103,461690,970485,872070,393600,870937,365076,-1,-1,-1,716571,-1,946124,-1,861681,664430,-1,225841,162733,829123,723051,-1,11680,-1,338499,681449,-1,-1,508296,-1,-1,-1,560218,-1,692281,-1,-1,174533,772130,-1,431925,-1,-1,-1,-1,49760,-1,-1,730907,271361,610609,-1,938568,-1,152287,627428,355832,538613,79879,-1,829299,-1,-1,298460,-1,365445,538297,283095,-1,-1,-1,-1,-1,-1,-1,-1,-1,874263,81199,-1,-1,634423,-1,-1,-1,772579,834580,144029,-1,-1,-1,839920,-1,847663,-1,100096,-1,854041,-1,923122,-1,688580,-1,481905,-1,111601,693758,-1,55100,-1,-1,720545,-1,126990,-1,-1,837136,137689,641395,471256,422091,994786,-1,-1,777027,89776,494635,-1,148290,51390,753837,-1,912614,-1,-1,-1,505184,-1,-1,-1,-1,-1,579322,-1,-1,-1,422662,-1,-1,-1,-1,-1,520189,871007,-1,-1,-1,-1,683652,552568,289970,-1,658445,282669,-1,-1,526270,-1,-1,-1,330108,-1,181039,-1,658863,621304,-1,-1,-1,-1,-1,837093,-1,-1,55343,-1,35664,353775,-1,99825,392396,802657,-1,677597,141951,-1,759404,-1,-1,550714,739023,-1,-1,-1,607294,413924,975373,421389,773581,-1,639902,27110,-1,-1,38421,614036,-1,477899,-1,889281,-1,286437,-1,21584,894537,-1,-1,507779,500936,942334,94108,-1,-1,-1,-1,-1,795316,458240,-1,666035,29588,-1,-1,-1,485328,-1,68659,920874,189986,-1,-1,645568,-1,-1,-1,723841,313807,936679,-1,-1,579089,923990,-1,-1,126317,995034,367656,-1,188716,403846,-1,-1,-1,208028,227629,-1,44027,427841,352259,99443,-1,-1,696528,-1,-1,-1,445813,-1,285261,-1,-1,-1,-1,-1,-1,154093,-1,-1,-1,714020,908897,-1,-1,201197,-1,163426,294086,-1,458871,-1,-1,-1,194201,-1,-1,446144,545285,-1,283317,-1,743623,170448,283405,155621,40027,257626,-1,927681,290678,864359,687972,-1,-1,-1,-1,536452,773254,509094,-1,711634,52895,-1,789385,-1,-1,-1,414974,-1,-1,749101,-1,-1,724281,-1,-1,295905,81542,-1,895956,-1,444523,-1,501968,-1,32383,315382,676857,-1,600744,579774,163579,-1,-1,596,-1,-1,139726,77071,586347,694130,299776,-1,182188,-1,923662,655820,193996,-1,-1,-1,-1,363307,-1,404294,-1,328934,-1,-1,-1,71263,926397,797218,123537,-1,-1,-1,56346,-1,-1,-1,-1,798500,-1,430447,917126,333482,-1,-1,-1,650154,-1,-1,-1,-1,-1,504941,-1,682153,156171,-1,278822,-1,-1,545082,586868,-1,503489,-1,-1,55476,82776,485901,-1,754052,670933,970089,651845,320883,-1,394958,146898,-1,330895,-1,908742,-1,21523,400529,-1,364766,10313,-1,-1,812981,824426,-1,-1,-1,339705,-1,36758,83851,-1,373703,235043,-1,689966,-1,-1,-1,676338,-1,-1,-1,-1,-1,-1,-1,568615,-1,697186,-1,-1,34620,-1,-1,-1,150816,19897,-1,913569,956591,-1,-1,-1,-1,-1,286359,-1,631089,-1,572219,-1,754705,390207,36810,-1,-1,182832,-1,-1,-1,-1,-1,-1,65481,70259,-1,-1,83152,813066,-1,-1,349227,-1,-1,480011,286130,-1,-1,-1,-1,-1,-1,385686,-1,-1,-1,101639,431300,508263,-1,-1,894586,96381,-1,-1,174564,-1,840610,-1,511669,408309,-1,-1,-1,840868,230707,419604,-1,-1,-1,581400,119202,-1,81145,121382,752326,517688,-1,-1,-1,958400,408126,-1,-1,530796,-1,-1,514052,-1,757062,-1,-1,867890,-1,-1,897134,449489,-1,656986,114425,-1,-1,-1,-1,299800,966836,509529,-1,-1,95454,680257,-1,-1,530711,3300,61152,899436,934119,812381,-1,-1,-1,-1,-1,-1,-1,-1,142554,-1,492057,-1,390696,-1,-1,-1,774495,959140,140521,-1,-1,460347,358508,-1,443384,-1,-1,-1,-1,680477,-1,76994,-1,895052,-1,504775,-1,-1,-1,-1,236268,731528,349782,-1,815664,-1,-1,70597,247048,-1,910306,407811,-1,-1,-1,-1,772829,-1,641014,-1,307587,-1,332549,-1,-1,680739,-1,392595,-1,-1,-1,867536,-1,-1,137941,192485,-1,271202,-1,-1,-1,-1,306939,-1,-1,827942,407721,712985,-1,-1,-1,283935,-1,-1,969926,-1,615080,-1,443862,-1,-1,625699,108488,-1,330807,-1,-1,919776,-1,657647,234641,-1,452116,-1,-1,-1,738010,-1,-1,31706,488070,-1,245025,-1,825487,-1,164867,625851,252392,-1,314316,-1,159679,832478,-1,-1,56144,-1,-1,-1,380994,-1,-1,219749,-1,334698,188730,771737,862303,-1,-1,405167,796976,-1,505351,756718,477104,-1,822481,304188,-1,368376,-1,-1,126766,-1,877348,-1,-1,-1,-1,-1,218018,-1,-1,-1,254718,-1,-1,-1,564231,-1,873844,847094,420405,-1,170506,-1,224763,-1,-1,441104,-1,-1,221449,331755,662483,349125,-1,92105,-1,401697,-1,-1,-1,253094,256529,749625,-1,-1,535210,817723,-1,402567,487838,86565,-1,-1,765736,-1,-1,798216,189850,-1,64538,197753,404348,86415,484868,-1,947220,-1,-1,109171,-1,-1,146231,432553,-1,805716,-1,-1,-1,494485,332101,-1,493910,-1,93465,-1,222582,801168,164582,-1,-1,-1,-1,-1,671961,-1,-1,770322,-1,-1,17809,-1,431660,-1,813888,-1,-1,105646,895987,658780,-1,-1,395711,925286,146084,217220,150421,-1,-1,-1,147019,-1,-1,742023,697897,-1,-1,450862,-1,848743,-1,-1,-1,-1,541749,-1,359687,633407,469325,-1,678032,-1,-1,-1,-1,-1,-1,976999,-1,-1,-1,-1,-1,-1,811215,326881,-1,-1,-1,-1,-1,794804,476142,828381,961792,-1,676746,685208,401381,-1,-1,704914,893374,811292,-1,-1,946464,953433,48787,-1,445238,867112,-1,81283,-1,652499,808836,435906,-1,399670,501361,271325,700676,-1,394914,-1,-1,253208,-1,-1,444016,140250,912435,148636,-1,-1,380928,184199,-1,-1,64997,-1,780597,679869,498678,-1,-1,-1,205957,-1,-1,-1,-1,89965,-1,-1,-1,-1,-1,-1,-1,-1,997456,-1,-1,657952,-1,508670,-1,666017,-1,477708,-1,789370,-1,223819,996742,-1,940440,274883,-1,670066,465022,-1,167336,-1,823309,-1,857572,-1,587604,347569,-1,-1,102596,81697,-1,405376,785602,969013,-1,986244,669062,931078,-1,-1,239786,-1,731963,345909,-1,-1,-1,-1,-1,-1,-1,-1,768320,-1,-1,-1,997130,-1,44795,-1,-1,-1,476061,617014,614347,346873,-1,-1,789641,-1,-1,29286,311235,106530,151079,-1,-1,319353,-1,-1,32831,-1,465008,175572,-1,-1,-1,-1,-1,-1,-1,522887,711118,-1,670398,-1,-1,269623,-1,767510,-1,459358,972197,11837,556385,228412,959512,-1,795109,-1,874670,-1,292493,-1,771663,586953,-1,992940,-1,504471,-1,80968,518966,-1,-1,945200,-1,-1,898446,762778,-1,257846,8872,-1,-1,167710,-1,-1,242367,-1,-1,-1,419755,206424,-1,982352,-1,56740,769173,-1,198630,895448,-1,-1,231972,-1,820891,-1,281629,491634,882583,713194,856126,-1,594173,740864,-1,-1,-1,376465,-1,-1,-1,635483,-1,-1,595778,-1,-1,407808,-1,-1,-1,-1,823075,-1,61449,-1,-1,-1,519182,735131,394962,128132,-1,72018,738990,-1,-1,666958,-1,255291,-1,460784,-1,-1,685888,434034,-1,-1,-1,789023,-1,-1,455330,224188,-1,37259,69954,973475,-1,451468,296728,353269,702719,-1,-1,-1,-1,-1,-1,380148,-1,-1,-1,355297,-1,792530,85250,920628,-1,-1,-1,856945,568660,-1,-1,-1,904264,-1,305006,766853,-1,285581,-1,-1,-1,81979,811451,246827,-1,-1,-1,-1,899137,801000,-1,-1,-1,549052,732289,755213,708044,225737,46415,142296,-1,825502,348230,-1,815871,-1,552336,-1,-1,-1,564576,90101,27859,-1,-1,-1,136172,276435,714122,390502,112130,-1,794618,547121,-1,855257,-1,625412,-1,561765,-1,-1,-1,-1,479358,-1,39299,-1,102449,-1,265479,-1,-1,-1,-1,639108,988131,269281,777033,-1,786901,361291,-1,-1,715592,450148,-1,-1,-1,-1,-1,-1,216467,-1,-1,-1,154649,-1,-1,278203,72727,602191,-1,234839,338240,-1,388927,-1,482873,170701,-1,-1,-1,-1,887449,905640,742246,32992,546069,-1,-1,385732,-1,-1,-1,625099,-1,-1,-1,156773,-1,-1,-1,87046,180969,-1,261232,-1,-1,62217,-1,-1,121675,554536,104982,471689,-1,798775,-1,-1,955549,184833,297717,-1,-1,420759,124171,105231,-1,-1,-1,178703,-1,-1,437621,589042,-1,-1,71851,-1,-1,-1,881970,-1,-1,-1,35800,-1,-1,615850,-1,634001,328805,-1,-1,446898,400262,-1,865754,359514,-1,478536,96101,-1,185301,-1,-1,405000,-1,336013,929108,-1,-1,-1,-1,288280,977231,246097,-1,-1,140633,473550,-1,-1,-1,-1,240026,838886,810484,-1,34829,887337,-1,-1,207638,-1,547057,-1,904971,358680,-1,-1,-1,907584,568904,-1,871535,11180,146143,-1,-1,-1,-1,879268,37931,-1,518427,-1,914084,-1,960232,942968,-1,183736,699459,-1,-1,-1,-1,-1,234650,405396,467547,465651,297366,-1,-1,651820,-1,-1,788328,-1,-1,-1,185816,-1,427632,114751,-1,905705,716091,774047,56477,-1,375975,510120,753999,210763,-1,-1,363839,-1,751119,410629,393071,756138,811899,-1,986813,487365,-1,80566,-1,-1,-1,-1,-1,897862,160875,421897,-1,75487,918737,587866,791524,206419,723561,835682,692674,646082,817732,260503,-1,-1,924939,255172,-1,925959,514923,605774,-1,369695,-1,-1,-1,-1,802617,-1,-1,777383,-1,855846,797982,549582,-1,-1,704100,-1,-1,-1,-1,575107,555955,391969,-1,655221,-1,-1,-1,891491,-1,877845,-1,-1,300517,-1,82419,397863,-1,-1,52138,-1,-1,-1,-1,-1,888068,12341,12283,-1,196857,817026,-1,-1,806463,698477,479547,-1,-1,-1,628311,-1,-1,-1,174486,276823,636269,306964,239066,-1,-1,906204,952840,-1,-1,-1,-1,189503,93225,-1,980588,88727,650536,774368,286981,-1,809174,251539,-1,920389,351011,396105,-1,-1,-1,609904,54211,634132,-1,927418,-1,424039,-1,906850,700626,977705,804922,695362,-1,575867,481561,570071,121737,27192,-1,-1,91933,-1,693016,160728,-1,-1,-1,504254,467165,556645,-1,-1,-1,-1,378922,166405,192028,680193,-1,531272,-1,851553,-1,49973,-1,-1,-1,-1,-1,131953,152756,271196,-1,-1,216262,144813,303323,761140,-1,-1,-1,67454,-1,104924,-1,728917,-1,-1,-1,-1,784670,-1,-1,-1,322810,-1,-1,859035,-1,-1,24470,775749,-1,-1,5033,512735,-1,-1,423156,-1,-1,-1,143888,681794,-1,577318,22197,122513,425067,-1,765255,-1,84455,751510,716797,473724,-1,46044,-1,-1,-1,-1,-1,343243,-1,-1,-1,-1,-1,668717,-1,-1,908221,-1,-1,916691,403538,-1,-1,-1,-1,801442,341833,-1,-1,-1,-1,459557,676053,904004,-1,-1,579981,400870,264713,295646,-1,198004,-1,460855,-1,-1,-1,-1,240934,-1,912328,296255,-1,-1,-1,381389,-1,728508,-1,-1,-1,-1,-1,-1,-1,-1,-1,417931,253758,433361,79876,422602,737223,-1,-1,115263,530078,-1,576186,99600,619410,-1,468365,-1,-1,-1,-1,781685,42248,529639,-1,-1,193757,-1,-1,938264,-1,77478,-1,984939,-1,66143,187136,979101,-1,110956,-1,751820,-1,-1,-1,927659,670122,393758,-1,-1,-1,196411,715487,-1,-1,-1,-1,302469,-1,296785,57244,79330,-1,743243,-1,-1,598643,185923,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,536434,-1,408828,-1,227610,-1,582717,373074,751288,93314,172621,-1,-1,830370,191397,-1,-1,-1,-1,-1,975790,191046,632073,973621,-1,-1,60195,-1,436209,246969,636072,-1,-1,325813,-1,-1,922132,-1,787289,934081,-1,392385,-1,826301,985784,733752,454429,307095,-1,-1,-1,-1,-1,-1,205975,-1,-1,-1,516163,-1,287399,182807,250430,708473,81018,116622,254915,-1,-1,-1,-1,-1,768846,301186,159976,-1,-1,380804,-1,881905,-1,-1,124782,-1,778419,53455,925646,210564,-1,211081,-1,-1,818232,758181,861342,104353,590436,332328,312889,-1,608407,-1,230693,577067,943576,520943,-1,-1,600790,-1,-1,-1,-1,-1,-1,909733,571407,842973,314353,-1,920275,-1,-1,-1,-1,-1,-1,-1,579695,859716,894741,-1,-1,-1,-1,386666,-1,-1,-1,-1,910838,387357,637556,-1,963645,281334,-1,390143,190894,740955,-1,-1,759804,-1,866505,-1,-1,-1,-1,172672,-1,505697,-1,158684,-1,-1,-1,552661,805852,375413,-1,2194,903454,-1,-1,59778,241013,680294,234356,128907,-1,683795,-1,-1,-1,-1,-1,695750,-1,667921,594012,-1,512634,467285,605033,198674,-1,853925,-1,-1,696661,-1,151762,-1,-1,563723,476365,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,595691,610768,-1,508789,856775,-1,259472,568180,13894,-1,345509,692096,775799,-1,-1,-1,-1,663179,-1,519686,640278,488374,-1,377040,-1,365177,436553,654903,907780,-1,-1,-1,875453,-1,635756,495134,726316,580848,-1,-1,-1,-1,72881,698239,-1,-1,-1,-1,-1,-1,-1,311071,132325,615534,-1,-1,-1,-1,-1,880436,-1,58586,-1,663591,823728,-1,-1,-1,481428,-1,689146,485520,-1,947409,941088,515644,-1,416210,-1,417286,-1,348422,810743,591577,620099,-1,193486,-1,148002,-1,175420,525417,-1,779191,-1,-1,122472,539389,-1,591841,-1,-1,958832,494822,-1,70874,664636,-1,170535,-1,956438,684016,-1,-1,757524,-1,526833,-1,476412,-1,727686,958852,-1,-1,-1,627674,525778,-1,-1,-1,601229,799462,-1,389265,-1,-1,-1,858290,594956,325666,-1,76723,343665,164006,13653,-1,179979,-1,-1,-1,698026,-1,363841,-1,-1,-1,-1,733737,-1,-1,865179,-1,945476,-1,44083,-1,402152,-1,627374,199208,453867,122108,730460,-1,-1,-1,544042,-1,88988,934219,681020,-1,386690,683691,-1,173623,160682,-1,-1,-1,-1,-1,550758,23455,-1,-1,-1,642006,-1,-1,740489,-1,-1,-1,-1,617215,-1,-1,736728,-1,885594,-1,-1,143342,-1,-1,853635,-1,846668,487881,279220,-1,711233,-1,-1,398454,-1,-1,70747,-1,-1,148334,-1,-1,-1,-1,281336,986764,-1,73414,-1,-1,-1,-1,-1,334509,-1,-1,-1,15791,145815,9057,434097,110981,257530,-1,368218,813825,-1,-1,-1,-1,-1,-1,-1,385214,499000,483242,151065,-1,-1,-1,635229,-1,-1,546044,807413,657736,171823,909520,336010,251761,-1,321942,248833,-1,315850,-1,500055,-1,-1,-1,-1,731319,-1,-1,-1,589586,839842,11488,529071,708776,279686,234399,303609,-1,-1,-1,270075,791631,937035,-1,90709,-1,-1,592297,663849,-1,-1,-1,-1,241029,-1,-1,695017,327285,-1,-1,728361,-1,-1,-1,-1,310141,241643,428914,32616,661131,500898,596392,-1,-1,-1,419602,719218,-1,-1,393220,690976,-1,-1,699468,122567,229087,988286,863124,632881,-1,-1,666204,905266,299579,93739,783082,-1,767048,291641,353870,-1,693741,-1,-1,966768,767452,955735,948159,703793,-1,350584,107791,51270,-1,792286,566696,243490,-1,715928,-1,333592,214169,924797,268400,162236,-1,-1,318103,-1,-1,-1,-1,487723,-1,-1,-1,907696,49950,56176,505733,-1,205811,-1,-1,-1,46022,357908,-1,-1,93385,27211,824961,929514,-1,97573,-1,-1,-1,980728,-1,822365,220389,335369,416352,845756,285909,-1,-1,-1,-1,24820,925587,906638,-1,-1,-1,-1,-1,658225,104880,388976,-1,-1,-1,612037,-1,-1,214839,253535,-1,710439,545467,-1,-1,-1,-1,-1,179474,-1,521025,-1,-1,-1,-1,-1,-1,-1,309161,731813,32456,14431,283925,-1,-1,-1,76895,-1,-1,277355,-1,586130,-1,-1,-1,446035,-1,-1,-1,6898,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,96047,702717,-1,-1,-1,-1,-1,-1,-1,-1,99499,-1,603174,121281,-1,-1,-1,330698,-1,431630,3228,173947,885266,-1,721610,224028,-1,340990,-1,-1,-1,-1,118954,106518,-1,-1,-1,418068,-1,-1,987196,-1,-1,-1,-1,-1,-1,63783,764711,603730,471479,-1,584825,147757,582079,745182,516857,657695,-1,522813,681992,237680,117441,-1,-1,-1,-1,454793,917135,748795,513410,592191,-1,-1,907410,-1,504425,632529,-1,745273,-1,-1,227590,-1,686598,-1,398287,-1,749056,436467,-1,405371,-1,954696,-1,-1,695156,-1,938312,-1,-1,55337,-1,-1,-1,312014,238780,130174,732413,545834,-1,-1,-1,-1,180999,-1,-1,215254,-1,-1,787847,-1,-1,-1,997335,-1,-1,666389,-1,407334,326100,-1,684587,-1,884134,57425,190530,-1,-1,-1,165531,43591,-1,427665,258060,119482,969388,399754,-1,-1,545185,442744,-1,680176,-1,-1,-1,-1,879662,-1,319800,-1,-1,-1,-1,399686,-1,673450,-1,236971,957318,896415,-1,-1,972370,822090,524753,-1,672395,925507,97173,425110,225747,316744,-1,904646,-1,831331,-1,866184,474552,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,845631,-1,-1,256662,-1,393790,798798,363662,919935,-1,790460,-1,47793,-1,-1,-1,-1,-1,-1,477528,-1,-1,638080,-1,105791,-1,774371,-1,781016,530257,137153,-1,-1,-1,-1,-1,-1,6635,225143,-1,45726,639404,-1,486433,95453,-1,577468,-1,868251,559320,-1,237253,-1,-1,-1,185897,250511,537486,803394,-1,-1,-1,502676,295520,126348,181422,-1,118143,-1,-1,-1,-1,333280,77407,322302,-1,870796,-1,-1,934268,942838,-1,538922,-1,-1,-1,552769,372881,-1,376255,86610,-1,241242,967184,175512,-1,433842,-1,-1,350598,-1,-1,307940,-1,-1,504660,167,578076,87309,-1,-1,472987,-1,828747,-1,991665,-1,-1,313460,-1,616772,-1,277249,-1,-1,772029,271810,-1,931109,649234,24143,-1,980582,-1,-1,-1,238499,831617,-1,323459,888233,-1,-1,-1,-1,182773,244541,522998,-1,-1,868709,375188,-1,407229,664470,-1,395078,306618,-1,-1,520088,617505,813195,-1,777135,436085,244101,971641,131377,-1,437785,343849,110080,-1,-1,292083,669592,-1,-1,-1,149935,988821,937399,465119,462181,-1,886600,664270,-1,407646,-1,541776,489093,831887,589931,-1,65462,-1,-1,834884,692426,-1,545623,616978,-1,423915,764694,-1,83236,357894,137081,-1,616760,-1,109702,858821,-1,244930,-1,378840,-1,384750,887506,448308,486627,-1,-1,401059,-1,479410,-1,-1,-1,860319,438305,-1,11919,816419,733985,220046,-1,-1,-1,-1,-1,-1,399889,601877,69472,360241,264174,703497,7457,62044,789610,-1,-1,-1,-1,570812,136828,-1,854370,192118,-1,-1,889455,574199,-1,-1,545954,627189,673778,-1,-1,-1,225163,917914,365450,594286,-1,790236,642529,730452,307762,-1,-1,-1,-1,-1,-1,-1,984247,493291,197025,-1,544191,-1,827501,-1,205895,140616,-1,569985,878837,-1,-1,-1,-1,519379,367419,-1,747716,-1,-1,-1,-1,-1,183722,782012,-1,-1,303229,-1,-1,-1,-1,-1,889608,-1,170176,420645,158902,416467,-1,581155,-1,37316,-1,-1,-1,-1,-1,-1,777970,78860,299439,-1,4918,168194,-1,-1,-1,422303,-1,527141,580661,942049,-1,189719,849336,769700,449909,590463,-1,846554,766721,-1,705401,414762,-1,900980,-1,-1,-1,91739,386800,-1,-1,-1,-1,145057,-1,-1,638043,432172,32649,-1,371557,-1,885275,-1,-1,995288,-1,-1,658698,953365,165904,727151,269349,737421,212087,295553,831320,30040,377231,-1,-1,-1,-1,-1,-1,-1,287052,-1,-1,-1,-1,572822,35750,503939,-1,537064,-1,-1,679905,-1,-1,-1,372319,-1,-1,143988,461258,219672,120148,854199,815835,248033,837403,-1,-1,263989,890827,-1,892748,-1,250410,-1,-1,261884,-1,766316,-1,-1,147307,-1,264641,-1,229302,389650,491008,110303,-1,654286,-1,-1,-1,300456,-1,-1,-1,970881,-1,734968,-1,-1,259391,609512,402809,-1,-1,-1,91670,855327,-1,990046,-1,-1,-1,393211,-1,-1,11482,-1,243381,-1,406763,425902,575005,323747,905525,258277,-1,672973,-1,-1,965481,910458,-1,-1,-1,857091,503564,769468,772031,13297,-1,724439,827245,-1,-1,642946,45323,-1,705774,962280,-1,706182,-1,-1,-1,-1,481785,740340,-1,-1,-1,-1,-1,807054,-1,699328,-1,999732,9428,-1,798956,359603,-1,-1,250342,-1,-1,-1,603198,-1,-1,158623,-1,-1,-1,-1,-1,-1,-1,749228,-1,362406,-1,-1,994922,-1,264988,885474,644117,887915,228237,59257,-1,-1,-1,881554,74863,-1,571343,283909,-1,-1,-1,427711,-1,357654,387863,-1,92774,405752,-1,-1,-1,-1,-1,-1,467310,389008,863655,682492,-1,798145,-1,-1,-1,27636,-1,-1,-1,789011,-1,-1,468990,38074,-1,-1,450720,606104,-1,-1,627908,636872,-1,273872,803458,-1,-1,156005,170367,-1,895676,-1,-1,889670,-1,-1,844364,-1,-1,6474,395055,-1,-1,650992,661120,834689,985517,201905,-1,781496,-1,42119,836068,-1,581505,152022,677681,-1,-1,456228,-1,578636,-1,-1,-1,185382,-1,-1,503057,-1,536031,-1,-1,-1,-1,-1,-1,218648,-1,-1,-1,-1,657790,209898,-1,694310,318200,337192,362939,76329,-1,-1,480168,-1,550353,740761,503628,-1,102411,10730,161659,276434,328203,-1,684299,669346,-1,842007,-1,229820,-1,282809,743346,285500,-1,865568,-1,999354,339790,-1,-1,870041,-1,82303,82982,-1,-1,618877,-1,870065,99028,388214,261005,-1,-1,811023,251787,767270,391996,960691,956279,995117,-1,-1,-1,-1,-1,811260,-1,-1,704693,200991,-1,-1,-1,-1,285015,-1,981496,630116,67339,746573,-1,-1,-1,-1,574737,991151,-1,-1,683645,-1,-1,-1,-1,-1,658426,32899,430577,864885,185807,312029,-1,-1,847886,-1,-1,-1,835204,-1,-1,-1,560716,501231,672638,128568,477184,-1,-1,-1,172545,794733,-1,-1,-1,-1,407704,-1,-1,504573,-1,-1,370580,573484,664843,225767,736209,188462,-1,-1,701680,-1,63979,-1,-1,444245,-1,-1,-1,-1,-1,-1,-1,237779,596248,930654,605389,153516,867406,573653,-1,-1,-1,-1,-1,-1,-1,670119,615728,768042,439245,520872,-1,-1,-1,-1,-1,-1,-1,843949,98405,-1,845189,-1,-1,-1,51715,-1,36568,959158,-1,-1,-1,-1,-1,325834,528493,-1,420564,768889,997052,294461,464872,-1,-1,-1,-1,724224,-1,-1,430301,-1,584883,-1,526034,627550,317624,764231,-1,105657,-1,312278,-1,663556,-1,-1,438594,580907,538097,-1,-1,716202,-1,-1,106887,347865,407253,679567,644782,-1,684296,-1,31668,956712,789530,-1,540430,-1,906005,271211,-1,397433,491833,554974,562633,288775,149523,-1,983237,233297,-1,-1,723316,338498,984494,855144,338147,566796,715882,-1,748592,-1,-1,932150,-1,-1,153119,-1,-1,280567,568482,31545,-1,-1,854593,-1,-1,-1,20234,351362,-1,398071,886880,-1,-1,989654,-1,446357,-1,-1,-1,-1,-1,373746,891088,-1,-1,-1,-1,-1,-1,944276,783471,692685,-1,-1,560279,641226,-1,864685,610095,-1,283710,-1,689699,701158,373002,-1,624229,-1,-1,666413,501948,779678,789189,-1,895910,527475,-1,946738,-1,45755,-1,439105,-1,521074,-1,-1,930704,-1,-1,526438,-1,-1,-1,517865,422763,-1,373352,621941,82462,316448,406080,-1,481213,850734,185415,570690,268007,522722,-1,-1,-1,-1,-1,868497,-1,-1,-1,-1,-1,-1,-1,840925,-1,457629,-1,916338,410053,462772,837919,-1,-1,876767,-1,-1,983114,-1,194902,894330,-1,-1,-1,493958,178757,531622,944272,-1,-1,-1,33025,73253,-1,803736,590929,-1,-1,-1,-1,923175,-1,-1,477047,786875,-1,-1,-1,509604,87623,342666,520854,-1,871910,-1,106911,111263,-1,-1,131132,-1,809924,-1,-1,-1,-1,767887,564734,894030,-1,-1,731508,329129,459411,492987,464981,-1,-1,-1,-1,699131,737256,381960,91833,-1,-1,-1,-1,429347,793608,660148,668532,-1,452098,499446,-1,-1,786135,-1,-1,-1,220456,302289,365959,-1,-1,763841,-1,740002,-1,898012,-1,-1,-1,-1,-1,627117,162295,-1,944441,-1,597180,815944,566158,327676,-1,527578,473900,444695,885911,-1,-1,-1,431858,-1,-1,-1,-1,819049,-1,173816,252738,-1,-1,-1,-1,-1,-1,-1,-1,356258,213370,244575,-1,670512,706588,-1,-1,-1,-1,-1,302058,-1,-1,-1,577675,454310,475105,576426,-1,736543,-1,-1,581681,441501,65384,-1,360902,-1,129325,-1,650053,-1,-1,-1,115318,-1,672250,-1,-1,-1,472161,-1,450166,689158,-1,829161,-1,-1,-1,659119,93943,-1,-1,38749,-1,483388,-1,-1,-1,-1,835344,494314,395606,-1,854631,-1,41838,377159,-1,540421,-1,-1,-1,-1,692268,-1,-1,-1,-1,71297,-1,-1,-1,365615,291425,968294,493824,587979,607123,9674,443193,-1,-1,-1,-1,422493,-1,-1,288273,-1,-1,943659,-1,529828,-1,215980,-1,717949,21992,-1,-1,789297,449487,-1,-1,-1,970989,-1,199458,261966,88003,-1,307616,-1,77207,914571,542439,644264,772334,838928,639467,762887,-1,-1,409551,-1,22188,-1,856406,-1,-1,669825,699669,772446,-1,-1,841756,290749,-1,-1,942705,-1,228102,-1,-1,340119,318242,8006,575822,-1,674337,-1,-1,743666,-1,870695,23298,44973,481010,-1,364963,-1,30710,-1,526637,-1,826297,306687,147131,-1,-1,603982,-1,-1,-1,-1,306147,-1,-1,-1,-1,261867,802033,-1,211392,244286,-1,-1,-1,73129,-1,-1,515077,164249,439655,-1,-1,-1,-1,-1,571405,-1,478827,647479,720181,-1,409264,-1,82989,-1,554233,277551,-1,427950,-1,-1,225359,-1,295361,674656,-1,679029,723375,857194,241712,-1,-1,372417,-1,500803,819397,96160,923311,288898,652587,-1,-1,-1,-1,-1,851167,-1,367389,739607,-1,840556,800885,-1,240121,967827,-1,992368,-1,768581,-1,-1,-1,-1,-1,-1,670501,689588,-1,347063,-1,-1,163490,-1,-1,-1,-1,-1,-1,-1,-1,-1,606662,-1,-1,183523,124331,490673,-1,-1,-1,409612,-1,-1,909947,-1,885260,-1,508209,359103,-1,-1,468614,871342,331252,495556,-1,105,-1,918190,30178,-1,-1,973356,285941,-1,-1,351491,579636,-1,23909,-1,-1,996200,-1,-1,274420,933049,552915,-1,927180,-1,327381,-1,-1,-1,-1,-1,-1,548155,189111,-1,-1,819464,620444,593386,-1,418725,-1,959712,912562,395378,979028,809380,-1,-1,-1,571927,249139,883030,-1,982692,-1,-1,541401,-1,321411,591283,866082,889483,-1,782878,553211,-1,-1,-1,308599,-1,-1,851183,766560,-1,-1,-1,-1,213344,673407,-1,882840,74610,2260,-1,-1,-1,901636,-1,889534,-1,406237,348696,354299,488329,510926,-1,967115,-1,-1,698295,894393,949100,-1,786984,882142,-1,200885,-1,-1,-1,667824,810778,-1,-1,544293,-1,946423,983475,806805,494048,-1,47634,262740,32361,-1,-1,-1,542708,-1,-1,-1,253439,-1,-1,290349,229046,-1,319995,-1,821363,-1,741797,-1,620935,-1,591671,468450,-1,-1,871192,497876,-1,-1,-1,-1,463045,403097,475261,418913,-1,-1,231237,418121,352416,-1,453906,227981,-1,-1,-1,164814,558838,-1,982538,869663,-1,221804,387452,-1,-1,-1,429469,-1,-1,706623,754015,-1,-1,-1,-1,-1,-1,-1,-1,-1,473020,-1,-1,156206,-1,-1,811771,-1,-1,-1,-1,-1,287065,-1,925229,-1,702472,429620,679960,-1,-1,239528,-1,-1,685596,-1,-1,137406,-1,511906,-1,443773,-1,-1,-1,856713,-1,608036,418021,233369,-1,441219,-1,-1,202466,-1,377346,428127,334143,117878,-1,-1,340369,280970,527663,855852,-1,629110,912287,445938,652705,445533,68267,-1,-1,-1,862678,-1,-1,425181,532911,-1,-1,155647,995095,-1,-1,788079,951771,530123,166206,-1,-1,-1,954272,112521,-1,56385,-1,-1,-1,518815,387669,295665,607897,-1,-1,747476,848524,-1,566994,-1,-1,761838,-1,909906,-1,-1,772750,-1,-1,916498,-1,-1,-1,28332,-1,-1,-1,658319,707423,-1,73187,593875,108738,744267,-1,136262,-1,223569,527022,838538,-1,856845,861621,682551,-1,-1,874714,245145,339225,-1,-1,-1,281431,383715,263296,156688,546880,-1,615082,-1,-1,-1,-1,369869,-1,-1,-1,-1,-1,714713,-1,582225,-1,121877,603223,399786,896482,-1,-1,829263,694123,-1,721520,-1,608402,-1,-1,-1,-1,846671,-1,564600,-1,-1,-1,505377,719112,242127,372575,-1,363219,185193,539109,502890,849445,915569,327056,291020,-1,-1,-1,-1,-1,948965,-1,84729,746136,-1,666560,60091,-1,-1,-1,280172,282109,-1,846570,-1,-1,317517,754780,303223,-1,-1,-1,-1,-1,384562,-1,999373,-1,645743,193769,13571,335396,-1,929697,378527,-1,12752,314765,795295,115446,-1,633947,510677,24441,-1,-1,598978,-1,532764,855146,492433,809850,807134,-1,-1,-1,269465,-1,236674,-1,-1,-1,-1,-1,174157,428295,-1,1863,601054,-1,441735,-1,562359,-1,242019,259510,777919,149357,-1,-1,242726,-1,-1,756538,914315,748331,-1,362540,654049,2919,-1,427311,39474,-1,782214,-1,-1,461552,-1,-1,210219,579257,526822,244707,607683,-1,514243,905814,867032,-1,994577,64707,-1,-1,669314,-1,-1,-1,-1,-1,286804,662602,-1,78164,-1,935264,649416,809391,-1,-1,-1,337929,-1,-1,-1,883734,-1,906878,-1,-1,540113,513688,-1,34170,-1,441332,-1,-1,541650,811922,236049,302155,980874,737307,-1,37532,-1,761387,443748,-1,760357,873987,16046,-1,-1,260591,-1,313864,-1,-1,-1,-1,732968,985421,-1,-1,-1,-1,-1,-1,-1,987071,71248,540782,-1,313005,672408,-1,159629,-1,310273,940333,-1,-1,194205,-1,459310,33114,178952,-1,-1,47513,-1,344422,198320,-1,676402,104612,577695,-1,496653,-1,-1,703268,-1,203557,310548,537447,988709,396812,-1,-1,-1,-1,30009,597255,336280,-1,-1,-1,627219,911161,-1,-1,198489,990018,690535,-1,-1,733550,-1,-1,-1,-1,295071,-1,716340,-1,857354,-1,475161,214353,289877,620899,990716,-1,418821,554829,911180,-1,-1,-1,111084,-1,-1,891945,-1,-1,-1,927524,40142,-1,-1,-1,-1,855120,-1,465542,-1,667488,-1,868376,-1,589389,-1,-1,-1,119665,-1,692652,381588,-1,-1,-1,-1,638869,721755,-1,266266,882233,878175,-1,-1,973193,493040,-1,625669,369711,-1,351845,980290,-1,193884,-1,-1,-1,94940,326977,855960,105077,229638,-1,-1,352090,76256,-1,-1,-1,-1,-1,-1,759145,-1,-1,624014,440547,209856,469046,-1,-1,229585,-1,168239,-1,213044,989977,467237,169146,678508,-1,764594,240100,-1,432718,-1,164248,-1,877176,-1,438111,-1,420305,921501,276073,994780,-1,221431,-1,867317,-1,181914,-1,-1,-1,-1,-1,-1,-1,265375,-1,-1,-1,-1,-1,360701,234432,-1,-1,885909,445387,24454,-1,742866,-1,139686,-1,648038,150336,364294,992911,-1,-1,362,709921,550495,-1,387787,-1,987955,80642,75093,130306,898052,-1,714063,42164,-1,-1,-1,-1,670643,109422,-1,-1,745415,724261,-1,-1,655406,73319,-1,248509,775350,259282,-1,502497,-1,-1,540510,434244,291286,294309,-1,673271,581514,-1,-1,-1,-1,-1,765460,-1,438739,-1,188146,495466,-1,521479,179760,568649,-1,198417,-1,257552,-1,737705,678330,-1,471612,-1,-1,891573,465156,-1,339915,-1,-1,474492,193518,-1,959752,331539,886662,-1,663337,118399,100743,-1,176915,-1,-1,649411,-1,147750,703166,-1,129542,-1,-1,248807,671251,341301,-1,654480,887138,-1,374135,-1,210618,-1,-1,-1,428013,-1,-1,-1,-1,433388,544628,863918,-1,580036,-1,-1,56337,625294,-1,449243,320229,-1,-1,-1,-1,477738,-1,-1,152367,49115,260935,-1,955903,-1,-1,708891,-1,-1,625502,566216,-1,435202,608267,953000,231155,861482,900658,252561,519467,428448,639425,-1,-1,7061,-1,926845,228028,-1,146503,749719,324439,392564,-1,202029,-1,101391,318969,178668,-1,904941,-1,-1,-1,-1,-1,-1,-1,653612,837741,-1,413418,-1,-1,-1,-1,-1,-1,-1,-1,860748,877946,34749,327273,-1,47451,-1,901042,622908,96805,168567,-1,792355,-1,461174,-1,-1,902360,-1,793494,39023,190194,-1,-1,890558,-1,-1,-1,143075,878192,-1,-1,-1,-1,229933,314270,244857,745500,317393,329510,828664,-1,228258,-1,-1,-1,863577,-1,737071,252746,-1,802871,3415,884807,-1,-1,86863,-1,-1,-1,255961,567639,-1,-1,-1,774881,717878,271120,-1,-1,-1,-1,-1,-1,379033,-1,-1,-1,-1,197794,614942,928261,140370,288255,869498,687431,750609,522476,-1,43661,626467,343365,861861,-1,-1,489210,968044,-1,-1,523582,-1,939961,-1,651826,-1,981292,981217,65724,-1,-1,-1,-1,-1,-1,226372,13238,-1,716147,143738,-1,-1,-1,305400,91772,667724,-1,-1,-1,82603,-1,-1,-1,-1,599569,-1,-1,-1,148612,597078,-1,-1,290588,965127,-1,318486,980101,-1,390587,-1,-1,-1,323169,286946,539681,974476,-1,70496,928197,-1,-1,-1,690352,-1,-1,-1,-1,430310,-1,-1,-1,972720,2952,96577,-1,-1,239622,713588,-1,-1,887882,815150,-1,652133,-1,255137,-1,109311,841575,-1,730550,-1,-1,118177,102456,574460,93760,781110,-1,978501,-1,313855,739746,-1,820369,154727,-1,591962,-1,309876,-1,856586,291617,851995,-1,-1,326138,-1,-1,978586,-1,780508,857410,727603,754958,541223,628204,-1,-1,182684,532486,784765,796215,-1,-1,572878,-1,337571,134044,243367,-1,-1,-1,704357,-1,-1,-1,467016,578269,645984,746274,-1,-1,821486,63730,-1,864066,-1,34983,-1,780325,-1,-1,-1,620812,769115,-1,-1,-1,259153,619363,714693,858360,-1,-1,296204,-1,372540,342341,645379,-1,719368,-1,-1,-1,-1,580613,562103,-1,-1,-1,983918,64228,989402,-1,-1,236791,853456,-1,893771,990480,689728,-1,-1,867091,-1,167086,761136,177150,-1,-1,663749,866454,72805,-1,297493,-1,73527,-1,165050,-1,-1,790217,385277,-1,6647,294723,-1,403564,-1,18276,-1,-1,577876,845890,-1,-1,-1,-1,242670,-1,-1,664107,338262,-1,561380,-1,-1,-1,-1,46569,393255,-1,12431,174639,357440,-1,300051,629071,686155,-1,-1,-1,886671,-1,-1,-1,610063,629053,-1,-1,767539,-1,790332,-1,886235,-1,-1,-1,994415,208889,-1,-1,-1,256718,-1,841845,550952,-1,248252,-1,584891,-1,-1,908860,188171,-1,460023,266572,860865,439789,-1,274409,-1,-1,298359,963042,447868,799415,-1,543070,228475,744844,627009,-1,-1,129819,-1,878494,-1,270548,-1,575465,134385,685048,349609,313299,-1,433101,87689,-1,-1,502553,579606,-1,-1,245970,-1,-1,-1,970558,325931,809744,995134,-1,-1,602506,406681,24729,-1,-1,93386,-1,155073,-1,-1,-1,784272,888343,593652,-1,548814,-1,850382,-1,-1,82112,184052,-1,-1,200582,632625,-1,423069,-1,738726,-1,-1,92582,367635,-1,536511,946680,-1,410941,580192,974158,728006,-1,-1,-1,-1,-1,-1,-1,196953,610674,-1,-1,186272,764706,-1,-1,-1,-1,456051,930520,-1,-1,540110,277890,196528,-1,509394,151829,-1,-1,-1,-1,-1,187062,-1,917995,654507,698786,667959,754575,-1,15556,61562,-1,918902,-1,277252,808939,-1,-1,619564,213006,529512,30415,-1,136014,-1,446993,240361,-1,-1,621006,-1,-1,-1,727089,86079,427843,175027,-1,769788,-1,836456,-1,-1,853112,-1,-1,964313,481375,-1,80243,813233,262153,447869,-1,397238,250746,-1,-1,-1,828959,910482,603794,-1,673184,-1,763050,855136,434855,420100,658486,355088,74854,-1,293975,-1,71955,864126,67554,-1,-1,436561,-1,947665,-1,282754,-1,-1,-1,249696,-1,263274,425215,408977,551039,610232,-1,-1,673206,517896,819879,-1,999973,87318,244620,-1,337419,-1,910672,263317,780533,606300,976113,561141,-1,-1,-1,586270,964383,-1,-1,-1,-1,840851,-1,-1,30042,-1,339757,-1,416233,-1,419988,17674,515904,464697,371261,137199,-1,809953,-1,-1,-1,-1,807487,-1,-1,575918,-1,-1,-1,-1,-1,409390,-1,-1,537679,-1,-1,70693,540991,660325,-1,-1,335323,-1,179951,821980,112041,-1,-1,-1,117119,646529,-1,256159,-1,989761,37608,826775,904504,-1,662943,774298,110190,-1,857605,274443,516064,598182,889710,-1,830375,280200,-1,-1,54808,782510,-1,417772,511383,974382,-1,974617,384732,598334,-1,334217,-1,-1,-1,-1,929873,-1,-1,333348,647860,123198,-1,-1,-1,-1,-1,17488,-1,935132,-1,-1,932537,-1,-1,375914,403683,177088,-1,-1,-1,-1,171891,-1,619529,-1,-1,-1,169719,508284,-1,518763,-1,-1,-1,751287,-1,-1,423244,-1,883408,206707,713153,-1,162089,-1,305383,293922,80469,-1,-1,-1,508026,-1,-1,-1,985588,761123,-1,-1,580598,795690,-1,-1,-1,549722,-1,392594,-1,-1,-1,-1,568303,-1,-1,-1,678760,-1,-1,-1,-1,55750,158316,-1,150340,-1,558882,-1,-1,-1,-1,140471,-1,-1,419137,464631,-1,-1,-1,-1,-1,228484,947706,-1,235663,222893,-1,247546,355970,-1,983317,923427,-1,159847,613740,449037,243263,71964,294500,125983,-1,-1,769673,386880,927506,-1,-1,-1,79214,-1,-1,721854,269782,308184,-1,252963,72988,498113,881113,434429,425030,765537,591851,751108,772945,790781,-1,943888,159830,-1,806766,265724,-1,-1,741702,275922,886175,-1,-1,-1,-1,-1,441160,383350,193572,523536,-1,-1,244949,237389,757971,701154,130024,-1,189931,728914,-1,357633,-1,134470,-1,480656,573579,-1,421472,914400,871486,-1,881525,-1,993284,-1,-1,-1,23887,917584,-1,-1,-1,-1,-1,528031,997959,342205,300573,467766,-1,-1,867734,494403,113862,-1,-1,299586,655136,-1,-1,136042,-1,68522,922446,701852,-1,-1,-1,-1,73178,37157,760013,-1,292344,296367,372904,-1,-1,817857,-1,222941,764562,371259,-1,-1,69282,473570,475676,559363,919052,-1,-1,408538,-1,-1,2612,570098,-1,-1,-1,-1,156068,359757,-1,-1,-1,718610,189888,-1,734744,-1,429428,616398,426741,-1,-1,-1,-1,-1,105324,-1,541013,862234,424887,186528,22187,790322,-1,182221,-1,-1,-1,-1,850099,140489,-1,-1,-1,-1,873253,104888,-1,718834,-1,-1,-1,-1,123865,21557,227051,344255,968610,734316,19104,898679,347075,290771,43558,792628,182446,666178,-1,-1,-1,-1,-1,583930,276264,395119,-1,-1,-1,630087,-1,620221,341452,-1,-1,581842,696656,-1,237625,577849,-1,749340,-1,276710,-1,850821,703530,-1,-1,-1,-1,-1,702747,-1,399594,150095,-1,903138,451198,-1,-1,497512,-1,-1,-1,-1,634937,217747,-1,-1,550847,-1,-1,625342,-1,882478,-1,-1,-1,-1,519903,-1,-1,137426,-1,676680,317593,860879,444066,390387,-1,556972,416971,-1,640181,215300,-1,978492,209620,72031,-1,907177,-1,-1,138465,145111,996299,-1,-1,834642,816354,451896,-1,-1,-1,-1,-1,671283,-1,300932,268825,-1,-1,-1,-1,-1,-1,387563,823997,421452,-1,727076,-1,886351,491341,-1,-1,921923,-1,-1,112448,850310,595297,-1,-1,81160,-1,991853,503406,-1,468268,-1,748404,-1,14702,958893,-1,131331,-1,78334,83774,936969,-1,915808,69230,-1,48668,-1,-1,-1,610222,755560,422130,905185,880164,-1,889206,898362,-1,-1,57608,-1,-1,-1,455785,882209,506734,603752,411956,-1,677294,156635,-1,36192,352390,660957,89082,107233,-1,-1,-1,-1,64556,-1,283913,-1,-1,-1,339097,829029,20130,881192,-1,-1,184334,727997,913155,984954,-1,-1,415637,-1,-1,-1,-1,529599,-1,-1,624075,-1,408241,148442,-1,-1,662276,-1,-1,728840,882791,185499,593513,694230,565021,760497,741213,225818,665186,249540,-1,627543,-1,-1,-1,577529,279091,753750,827750,789653,950614,-1,257144,931363,396699,-1,671216,-1,409075,664624,115981,-1,-1,-1,-1,257332,540090,-1,-1,-1,69098,-1,487906,951865,-1,-1,-1,-1,-1,332155,-1,-1,-1,-1,-1,647097,23542,-1,884338,245546,-1,-1,657265,-1,468096,694653,572846,-1,769237,777269,825150,-1,365309,763065,-1,196222,-1,-1,962038,-1,710992,-1,396868,621187,754104,-1,734756,-1,-1,-1,-1,915415,-1,-1,-1,-1,855084,-1,-1,-1,12157,999312,-1,-1,-1,-1,-1,-1,-1,241181,203040,-1,2549,3882,43601,-1,-1,-1,710655,612702,-1,432794,-1,-1,-1,-1,174505,-1,639446,-1,-1,889178,-1,-1,87279,661522,494411,-1,756153,-1,-1,-1,-1,5586,-1,-1,813541,-1,-1,-1,519844,-1,-1,-1,-1,-1,693489,-1,425547,683299,739266,80660,-1,11272,-1,-1,-1,-1,839919,656667,194239,-1,652165,-1,-1,33455,-1,630556,50872,-1,452552,190138,386796,-1,385354,778690,815821,539607,342150,-1,-1,869210,-1,-1,611134,660783,806446,745963,-1,141120,-1,348079,-1,-1,-1,-1,414990,-1,-1,32829,719687,358080,-1,561604,-1,-1,-1,-1,-1,-1,-1,130445,284337,514187,421771,-1,500903,12416,-1,-1,107674,-1,916717,-1,-1,-1,-1,-1,447430,307337,397053,274667,661392,697885,760762,-1,-1,520307,852415,301815,97803,-1,-1,817280,158132,-1,-1,-1,37686,229629,-1,464518,869340,233309,416463,-1,-1,-1,-1,201944,269131,59343,806893,-1,638744,-1,-1,-1,19545,863367,100060,515898,-1,605763,-1,-1,-1,-1,895413,264334,140003,-1,292599,186650,87943,-1,389605,703927,-1,-1,-1,-1,838248,-1,429974,317918,864707,-1,648722,620452,270516,863245,748055,257255,110221,-1,962272,-1,648359,411322,199829,-1,-1,456381,-1,110232,103220,-1,-1,362555,-1,-1,-1,855278,-1,950214,-1,-1,826037,-1,662530,-1,145920,-1,563195,605406,-1,-1,-1,391249,-1,603058,224341,650468,848575,263456,492934,-1,648371,185386,141028,552434,-1,-1,997877,510340,-1,676213,41771,110577,737292,-1,-1,947091,241258,113178,-1,430889,-1,-1,-1,-1,423821,856905,625613,-1,-1,131907,519057,-1,-1,404743,-1,-1,757136,-1,-1,-1,-1,-1,498885,-1,972095,955060,-1,559819,14134,70043,-1,-1,389721,987173,517981,518995,-1,190496,-1,319862,907744,131429,-1,589966,126515,-1,196916,488273,115712,335180,137924,741403,848737,681144,546848,-1,824278,-1,-1,51928,649655,551702,209199,-1,66173,941137,906933,-1,-1,828463,251971,-1,982395,-1,657797,-1,-1,-1,-1,-1,-1,-1,482983,968445,-1,-1,-1,-1,337830,125324,965595,767010,147457,251012,459624,-1,478595,258229,713735,56112,-1,-1,-1,463628,396397,97946,755139,-1,-1,547766,-1,-1,164221,-1,-1,-1,119175,440539,921176,202163,-1,779126,-1,-1,-1,-1,-1,115926,-1,-1,-1,-1,429350,75126,146571,695158,-1,-1,185709,-1,-1,911683,-1,-1,-1,302970,-1,-1,-1,597269,152203,-1,-1,-1,-1,-1,-1,-1,430777,-1,-1,-1,605495,140786,-1,-1,51538,-1,394640,866492,286017,499655,-1,-1,-1,-1,-1,-1,-1,877509,613411,-1,-1,-1,-1,-1,-1,-1,984802,656422,131530,-1,-1,787323,-1,172010,443320,-1,898615,-1,-1,469687,775472,277909,346702,237781,812278,513283,897884,330618,931722,554599,-1,287814,46117,331262,-1,-1,-1,-1,-1,-1,-1,812433,-1,462413,809065,-1,13054,126126,-1,-1,-1,-1,-1,-1,-1,635414,277015,-1,-1,-1,325290,-1,-1,812654,-1,-1,255744,-1,-1,470835,16750,506052,-1,-1,438909,600249,-1,561962,762620,512059,12141,-1,-1,227731,-1,661210,-1,331378,470880,578420,-1,-1,-1,274073,-1,941811,-1,-1,454261,11108,-1,-1,-1,-1,-1,756408,185302,-1,77257,-1,875382,707018,526754,728407,243358,865761,930057,833775,-1,775815,-1,-1,-1,-1,-1,39665,276212,-1,841466,-1,643035,-1,536824,373106,249087,-1,-1,-1,-1,588776,886331,157637,917826,424618,-1,-1,-1,927598,-1,375261,498168,585518,601122,-1,-1,65261,115593,-1,318450,686971,-1,585345,584924,-1,372604,-1,-1,-1,-1,3599,421703,-1,-1,-1,-1,51652,112689,-1,657971,658469,811474,-1,-1,-1,269181,204601,166782,61506,-1,-1,-1,790812,-1,-1,579382,771180,194189,785188,-1,803071,25433,242082,-1,-1,389648,916036,-1,98589,-1,-1,-1,557989,461703,503048,549205,612373,606293,-1,17980,-1,796004,-1,412048,392153,181651,-1,239277,-1,393923,884045,428807,200488,185882,-1,-1,-1,65015,432109,298542,-1,735395,92040,-1,-1,75919,177349,-1,-1,-1,-1,-1,435442,-1,-1,125073,977199,-1,-1,-1,45107,468035,924902,166516,364888,939486,328128,893954,973777,-1,-1,-1,-1,985856,851821,391734,888906,810202,-1,-1,739015,-1,409404,107305,5329,-1,-1,543888,-1,-1,523193,38268,-1,-1,497226,432039,-1,-1,-1,-1,-1,-1,-1,-1,692569,-1,70140,-1,-1,896575,444481,988502,-1,-1,521576,-1,-1,238888,-1,-1,6758,71134,-1,-1,922688,-1,170253,-1,292561,-1,141750,-1,-1,967797,796349,-1,-1,-1,965571,-1,439579,759821,-1,818804,533584,-1,-1,-1,71536,-1,910114,-1,3013,-1,975388,-1,-1,651399,760193,-1,-1,667645,-1,925636,-1,143963,969907,-1,930749,870014,599217,-1,-1,393407,734431,-1,623320,3459,555639,-1,814288,-1,351960,667023,340319,-1,-1,153170,-1,-1,-1,314264,-1,976369,646471,118571,427992,522056,789146,-1,557697,10507,773845,130513,249581,945096,-1,-1,-1,-1,88580,903768,-1,-1,-1,809083,248893,481445,297031,491152,-1,-1,8320,977155,988986,-1,-1,-1,-1,315299,-1,-1,679333,995223,-1,-1,198271,-1,-1,859047,617602,239142,-1,803201,-1,563087,-1,733898,-1,440048,-1,-1,272100,534108,-1,-1,-1,911056,-1,950177,-1,87748,-1,642351,226632,502108,-1,808223,996049,-1,-1,271942,-1,802797,148610,-1,98863,919249,-1,-1,186488,161538,840795,-1,-1,-1,197686,-1,340423,-1,786004,-1,-1,513888,-1,-1,-1,-1,460274,-1,299925,-1,-1,-1,60822,815027,-1,-1,585370,116697,772439,552356,-1,-1,238026,-1,746883,137772,295078,159052,95865,91032,-1,702141,228625,-1,-1,-1,-1,-1,890940,243279,-1,-1,411488,806496,669408,579824,9298,338303,-1,815736,-1,909180,-1,-1,-1,-1,-1,-1,467702,873434,-1,504569,-1,-1,340058,-1,569228,-1,-1,59566,320563,521683,-1,-1,-1,284185,-1,-1,-1,398266,-1,660744,-1,-1,224619,-1,-1,-1,607618,298394,505710,-1,884074,-1,-1,-1,504637,629101,640382,766761,344654,598579,440756,717519,-1,367912,139969,221509,-1,960856,303462,-1,-1,-1,-1,981867,-1,67623,186504,-1,286675,-1,-1,524051,-1,901073,-1,-1,-1,902710,-1,891190,702330,-1,-1,267341,-1,-1,-1,188086,-1,945671,-1,857130,450093,620835,214052,-1,-1,88525,461837,-1,-1,224617,388999,-1,315226,878803,967474,-1,-1,325519,749944,879573,-1,-1,-1,-1,-1,-1,260307,-1,-1,848892,-1,-1,905339,614447,-1,-1,-1,-1,671926,-1,-1,-1,102877,-1,-1,-1,-1,-1,-1,-1,258731,256247,141074,765866,959457,841070,133031,10358,505714,658991,298552,777529,446655,519662,-1,8688,-1,421400,-1,534961,64554,-1,713780,-1,-1,-1,1428,620720,617003,237032,-1,-1,916603,-1,963077,-1,291826,-1,217857,-1,-1,498617,-1,-1,-1,421656,937727,611560,940101,-1,-1,677155,949416,992501,384765,-1,554748,222468,-1,917055,-1,-1,606791,-1,424414,-1,-1,131506,-1,868159,-1,-1,-1,579398,731676,32724,455956,-1,-1,-1,-1,-1,-1,577037,-1,617822,-1,38079,-1,417755,-1,452279,116829,809156,432659,-1,353594,-1,506507,-1,-1,759586,359836,209197,959360,909753,-1,-1,-1,145122,-1,453123,-1,814736,-1,-1,-1,-1,-1,205098,710305,-1,479474,-1,235650,143518,-1,590542,728327,641332,679097,433161,-1,-1,490204,-1,337348,249500,537318,501075,742545,683377,-1,767316,-1,-1,588939,418969,452724,-1,415770,-1,-1,-1,993059,-1,-1,-1,-1,-1,-1,-1,-1,-1,958477,-1,-1,120973,381430,-1,505272,-1,-1,345968,996206,772609,286094,683016,434769,60245,880738,19829,-1,319232,648895,555312,46536,167580,994036,-1,-1,936105,-1,971991,-1,-1,351908,914410,-1,701895,773082,553408,147374,273348,755670,455816,294971,-1,210345,-1,-1,679920,364343,-1,-1,725161,845159,211530,-1,8857,488257,478430,-1,-1,-1,-1,523927,580145,21859,999356,-1,-1,-1,-1,229410,957502,-1,515747,547356,-1,493027,199158,-1,15657,-1,531164,805280,-1,-1,188857,622547,-1,941940,2431,449604,-1,-1,-1,-1,-1,-1,-1,-1,-1,933609,-1,719226,-1,-1,76088,840357,-1,768720,-1,-1,-1,85138,-1,611371,-1,697804,-1,-1,-1,193615,331664,693514,859419,601069,-1,-1,733265,785222,-1,-1,-1,-1,-1,656415,749305,-1,820951,-1,987066,302743,192029,121938,603675,-1,524363,617138,474702,-1,-1,-1,-1,-1,-1,-1,556592,-1,565552,-1,-1,-1,288013,960131,-1,-1,-1,717882,-1,-1,-1,-1,663014,815734,448103,-1,587409,-1,107004,-1,399778,-1,607624,-1,-1,-1,341590,663472,-1,229041,779229,28342,287996,427142,-1,-1,809494,-1,455080,-1,-1,613489,821790,64521,883424,25106,711555,521838,-1,373721,-1,-1,741083,-1,-1,412151,-1,887731,985260,634155,118452,-1,82648,-1,712241,25543,-1,-1,-1,-1,-1,-1,-1,-1,-1,866186,-1,706496,856039,-1,-1,708384,193283,390999,458294,59176,861710,714254,431335,-1,-1,-1,-1,-1,-1,-1,134058,-1,821671,-1,-1,656346,-1,536864,-1,106385,-1,965642,-1,-1,-1,-1,534993,-1,-1,-1,-1,276240,660031,-1,907079,731033,-1,790261,-1,512766,-1,-1,-1,297706,776724,-1,850329,11929,-1,-1,872264,324245,232258,352300,-1,-1,-1,144123,-1,718814,-1,780180,797685,-1,252477,199498,329317,-1,67383,847056,-1,-1,-1,-1,790363,902605,505146,305447,-1,-1,-1,71176,306368,-1,99852,905821,-1,181270,-1,381191,-1,421944,-1,541175,402493,-1,164293,-1,224819,961667,406683,943789,952890,-1,90864,-1,90754,471962,349147,-1,-1,899774,-1,273206,263387,-1,148154,284373,99537,338406,108127,-1,-1,790437,-1,-1,241812,198135,-1,439404,820732,826351,649996,-1,855942,201751,970208,-1,188883,-1,931526,-1,-1,168398,56507,102873,407917,-1,-1,-1,-1,110127,-1,-1,94196,900017,-1,-1,-1,-1,-1,-1,-1,73932,-1,-1,984530,959213,313964,910627,753038,-1,116855,-1,-1,-1,-1,147973,-1,-1,296013,800994,923620,-1,-1,-1,194509,-1,74617,-1,-1,-1,299708,-1,-1,-1,-1,-1,349208,-1,-1,528456,-1,839025,313392,-1,-1,415554,735912,-1,-1,-1,-1,515998,825910,-1,667312,-1,-1,963900,-1,909606,157460,168484,-1,-1,-1,-1,-1,-1,421647,-1,199860,-1,707272,729046,-1,-1,-1,-1,843370,-1,-1,-1,-1,604946,-1,486200,439957,-1,-1,322973,115535,-1,513683,-1,-1,-1,658128,2203,773351,904420,-1,-1,-1,-1,-1,811103,984096,-1,-1,323030,927195,-1,962442,-1,493135,-1,-1,-1,-1,-1,195103,-1,616207,680972,960527,-1,-1,914959,-1,-1,-1,223352,-1,656200,-1,560728,-1,673960,816230,-1,883552,89575,-1,-1,740588,969089,677437,50708,-1,394558,202439,-1,253554,36110,-1,-1,801587,-1,-1,-1,-1,31284,-1,-1,457033,36433,-1,690973,478413,680919,176774,-1,-1,505713,-1,845699,423018,699814,68911,-1,721713,205430,-1,443449,-1,382895,853024,594863,156146,-1,928077,399623,75670,731031,-1,-1,323963,-1,627891,-1,-1,707430,761129,950425,898408,-1,916330,715075,-1,-1,20033,-1,-1,101633,-1,-1,-1,62707,814857,42944,257853,-1,497140,108248,624194,233341,-1,-1,-1,-1,-1,-1,23704,-1,743933,381661,-1,-1,763409,-1,-1,-1,964337,863687,185782,659389,-1,-1,-1,375099,-1,-1,-1,-1,-1,247438,-1,134225,-1,-1,-1,-1,-1,813253,740977,617029,-1,-1,-1,27899,-1,-1,-1,282308,-1,338878,-1,937980,-1,316085,-1,-1,-1,355283,720669,53487,-1,766787,187298,-1,-1,849218,479789,627666,-1,-1,565502,49074,825572,566658,-1,357099,304494,311859,123524,139677,237262,-1,-1,-1,-1,291659,-1,806112,486170,663628,-1,-1,-1,144985,-1,338111,765576,-1,-1,849759,-1,191733,-1,-1,989422,-1,920623,-1,-1,-1,-1,-1,556716,-1,-1,-1,-1,-1,-1,-1,131994,-1,710297,656733,-1,388754,-1,-1,-1,-1,579191,-1,-1,563890,20259,724060,-1,-1,-1,799640,995615,327604,537594,769496,-1,179750,917555,-1,381030,-1,-1,444884,903721,-1,221969,683946,-1,-1,286170,-1,-1,-1,-1,17291,833425,-1,-1,322197,-1,-1,-1,925468,-1,923072,-1,80723,492704,-1,-1,538604,-1,112044,519027,-1,-1,901161,567909,11172,-1,-1,-1,-1,273560,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,752980,-1,-1,637317,-1,-1,-1,-1,-1,-1,-1,626167,868206,695343,455493,-1,-1,8321,471183,464601,5722,90950,-1,-1,-1,-1,673182,-1,605683,-1,-1,808338,-1,566356,-1,-1,420057,-1,-1,374304,-1,144286,-1,976811,-1,-1,66289,574607,-1,-1,-1,-1,396775,-1,-1,121259,-1,-1,238756,297011,-1,157618,-1,-1,559250,-1,869446,697366,871555,-1,217630,40260,-1,592442,-1,-1,204435,-1,-1,-1,-1,-1,88816,912484,24119,64448,402373,-1,223236,-1,264663,-1,-1,222280,-1,-1,-1,69483,-1,-1,-1,-1,-1,-1,-1,191297,369452,774971,676295,854465,-1,-1,278336,627782,-1,177056,531197,-1,996727,873828,340255,841029,-1,5129,-1,386361,-1,-1,-1,-1,-1,-1,188438,692795,-1,-1,-1,391852,-1,-1,107092,501540,-1,-1,837200,-1,-1,506100,-1,363614,296328,-1,574634,-1,856086,-1,281577,134590,838111,-1,-1,273127,-1,-1,-1,-1,-1,565100,37086,220928,816563,-1,-1,925319,561024,337569,430176,-1,803914,-1,665371,981349,199080,641532,-1,436546,582555,579493,-1,983121,-1,664378,778969,135969,322065,493497,492889,621269,935809,-1,458476,554220,627072,199552,-1,-1,695347,-1,-1,-1,447835,840926,486252,395743,135793,754687,-1,-1,-1,-1,-1,330142,-1,376741,-1,-1,-1,-1,-1,-1,118431,831892,-1,565609,492037,-1,-1,-1,216326,-1,-1,-1,73276,-1,-1,-1,945313,238639,-1,-1,737619,511199,181668,-1,-1,-1,600935,-1,-1,-1,592458,-1,-1,-1,-1,-1,905114,759468,749524,-1,391705,794416,411713,-1,-1,766932,-1,-1,-1,-1,315843,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,751657,-1,217937,380990,-1,560638,951996,816214,-1,821915,693769,-1,-1,-1,-1,66384,667206,-1,436795,-1,-1,201725,388328,143647,-1,-1,202900,-1,355579,984651,-1,-1,758557,291721,-1,-1,-1,439329,-1,-1,375489,-1,-1,-1,57409,-1,-1,854495,236798,359502,-1,-1,-1,-1,44566,-1,566989,716875,-1,399515,-1,848845,179901,552926,-1,-1,925800,-1,18228,-1,-1,-1,-1,849112,998200,-1,-1,-1,-1,-1,778625,-1,-1,-1,10231,-1,632888,244332,75959,-1,-1,-1,296081,252709,-1,56790,355172,-1,147345,-1,-1,958171,-1,-1,137793,-1,-1,-1,-1,451415,888419,200389,-1,311344,-1,-1,375736,-1,392514,-1,15956,85135,-1,-1,561266,-1,-1,-1,341194,-1,245927,85838,511370,-1,574821,842075,-1,213587,-1,356113,-1,-1,-1,-1,-1,353862,-1,402666,118793,-1,99143,-1,-1,-1,-1,615335,-1,715208,106054,-1,-1,306428,292894,209545,-1,850955,715708,154569,-1,696221,-1,-1,-1,-1,-1,-1,160067,230795,-1,-1,-1,88256,627487,-1,-1,409350,347996,-1,-1,179252,467696,-1,368189,-1,247454,489528,-1,996805,657840,737604,231500,-1,235963,214931,155351,532181,-1,-1,-1,726120,558418,-1,622568,-1,600553,589016,705550,-1,-1,910275,-1,776126,37567,305630,727827,297243,512115,512084,183651,724315,1159,-1,-1,-1,-1,620498,-1,84539,-1,917353,465480,-1,704133,-1,763536,410494,-1,897844,990916,-1,672233,463912,201570,-1,530104,-1,-1,-1,-1,163656,246755,946261,-1,-1,-1,927024,405978,-1,-1,-1,-1,591029,921292,-1,-1,-1,-1,-1,-1,-1,516238,303126,919889,-1,485856,-1,-1,659518,-1,238446,222940,955075,-1,-1,972827,-1,131779,886588,-1,-1,-1,477326,581382,284263,-1,960834,901376,-1,-1,828562,898322,-1,-1,720480,-1,524556,550227,856917,-1,-1,639243,540960,254206,-1,-1,908105,-1,144802,370775,601991,93445,-1,403277,-1,147762,79812,125559,119261,-1,14947,560756,815317,-1,-1,666130,846637,82049,-1,-1,688278,-1,-1,-1,860108,-1,-1,135105,-1,299107,973804,264273,446061,-1,-1,54319,420981,-1,901290,-1,875758,-1,68540,-1,668632,57436,171241,663080,262518,532820,-1,593658,699389,901125,877518,946939,58574,800372,-1,-1,587395,-1,397565,742408,859550,96943,-1,-1,-1,-1,433262,-1,-1,-1,77622,570123,776183,704832,-1,-1,262331,-1,-1,-1,186376,38618,-1,-1,-1,-1,-1,906449,-1,-1,-1,-1,-1,-1,788889,164244,840199,-1,995946,621547,943595,-1,-1,98003,-1,-1,195404,-1,623581,-1,-1,700973,-1,506557,906253,-1,905919,684709,-1,481382,-1,964848,349272,-1,-1,-1,-1,-1,958786,849659,458935,-1,486525,298582,-1,443098,104226,-1,-1,98588,204985,147296,112559,-1,659806,319572,-1,686694,-1,-1,-1,-1,-1,551588,-1,776532,326661,217295,437817,127682,871413,536939,758750,600225,-1,952573,-1,-1,754653,-1,759599,-1,797707,988563,-1,-1,-1,688276,-1,394805,-1,261447,-1,-1,807163,992246,-1,-1,-1,-1,-1,-1,798974,-1,30630,168214,856178,130490,-1,201797,705391,-1,-1,120695,892754,989625,-1,990074,966200,-1,324397,804935,-1,-1,-1,-1,-1,-1,143876,-1,892065,-1,-1,-1,-1,148378,-1,759167,-1,-1,266311,-1,-1,-1,-1,393041,875686,-1,372337,-1,242523,-1,-1,-1,-1,55430,-1,-1,278859,441472,86860,-1,-1,-1,-1,-1,-1,-1,502250,-1,454214,153497,243351,-1,820192,-1,-1,283987,942560,-1,-1,-1,554831,-1,563534,729902,889068,570704,-1,427202,331462,254819,432068,361666,902714,-1,104898,-1,770973,193811,-1,-1,90646,895341,-1,-1,-1,-1,529983,-1,-1,521459,-1,67616,-1,741371,333816,145689,768785,-1,576693,877585,-1,-1,779907,-1,583156,131056,775191,-1,174548,902764,620409,275040,307543,-1,852426,982388,-1,-1,-1,-1,262433,108259,255315,786611,-1,216727,-1,-1,-1,998051,-1,423265,-1,-1,608245,447922,455727,327684,149208,-1,669610,-1,939573,589384,446755,692698,569084,504126,281814,334536,-1,-1,-1,438770,-1,623723,850304,191956,263008,189762,-1,197990,-1,-1,196559,-1,168319,-1,502880,862493,710899,-1,114081,-1,-1,-1,-1,540509,-1,608076,888728,-1,163951,988418,815907,871048,410024,591080,312218,216917,-1,583592,-1,-1,-1,-1,-1,-1,-1,915579,-1,808510,51207,-1,-1,453781,-1,253262,941921,353220,-1,-1,776806,-1,185216,300223,378822,706554,423832,380873,781317,753422,701669,862222,870083,133275,-1,-1,52679,-1,124821,-1,847051,95740,-1,-1,-1,-1,843232,-1,960059,-1,609896,642182,765237,453502,116614,-1,-1,-1,964746,-1,726630,114866,515838,226307,-1,139825,121534,156144,-1,-1,-1,-1,-1,-1,481984,-1,-1,277836,-1,-1,119382,-1,-1,-1,105998,123732,917902,-1,874577,798719,430594,765761,-1,-1,392867,685217,639004,682036,931980,294227,871549,427120,-1,126318,-1,-1,466196,895103,809951,521010,5395,901731,-1,157716,-1,-1,-1,-1,-1,578864,-1,773869,-1,705935,-1,-1,937338,-1,462546,365889,-1,-1,-1,280936,626657,321838,-1,772182,457357,608253,445327,-1,844546,-1,649570,156243,-1,-1,-1,919707,865456,920452,-1,-1,952049,-1,153216,74824,-1,588965,-1,731565,-1,751548,113454,538206,594868,-1,806834,-1,576027,191002,-1,773345,-1,960710,-1,761487,-1,-1,-1,-1,81784,-1,431449,920353,718941,-1,621887,701841,-1,-1,224666,758970,-1,-1,623517,-1,-1,642941,812745,546287,-1,321382,574703,206897,-1,488945,-1,-1,-1,-1,-1,548013,-1,760577,851474,-1,995154,-1,594959,-1,-1,710182,590835,227986,569097,553359,625581,871577,542759,-1,63553,-1,372076,346968,-1,-1,-1,-1,890639,316137,-1,377912,440580,414817,881070,-1,991876,-1,346553,334920,-1,-1,443417,730755,243038,-1,-1,-1,384406,518470,538218,176736,704149,-1,673804,297832,-1,328,-1,108893,-1,-1,510251,-1,-1,773003,-1,-1,-1,-1,598380,35244,-1,-1,-1,-1,-1,793686,2096,274098,209650,-1,451574,-1,792838,-1,254745,-1,235912,402920,246427,-1,805055,-1,-1,168188,950601,240053,571395,692428,887175,371772,250629,-1,7450,-1,797607,-1,283056,29828,-1,819635,-1,724813,-1,773556,-1,-1,165973,-1,923118,-1,45214,723120,69701,-1,-1,577286,-1,-1,-1,-1,-1,-1,569421,-1,-1,-1,-1,-1,492926,-1,-1,146462,529134,-1,-1,103775,168006,-1,300635,681877,-1,-1,57744,721928,-1,-1,747567,-1,193088,-1,882623,472381,436833,755380,223893,165353,264806,-1,522675,-1,668576,-1,-1,768834,-1,-1,910145,-1,28110,-1,55870,-1,187574,-1,717427,904529,-1,-1,-1,104164,-1,-1,87552,-1,-1,343922,-1,-1,-1,-1,237200,-1,711225,10951,275916,487528,-1,536754,-1,-1,466671,809912,-1,-1,-1,629808,-1,-1,-1,316834,-1,-1,-1,117713,-1,358016,-1,933469,-1,-1,555894,452744,604019,-1,-1,810983,-1,160590,-1,-1,48437,-1,795181,546748,923661,298266,-1,354642,475774,842552,95446,996674,138580,-1,164141,-1,-1,138988,202479,-1,-1,172217,-1,266035,-1,304992,-1,464760,-1,84913,-1,375906,-1,991776,-1,56206,-1,903293,-1,62155,429838,927143,-1,-1,569289,480420,125418,-1,-1,-1,-1,900962,-1,393523,-1,509665,-1,740423,565927,284774,136300,-1,668702,812763,277184,-1,-1,457715,-1,-1,264736,-1,-1,-1,-1,-1,627610,936092,815800,827978,269323,-1,-1,820622,838698,-1,-1,904995,-1,-1,293944,-1,-1,-1,13092,270711,-1,-1,-1,481943,865521,924615,-1,932622,674245,-1,-1,351601,-1,940049,169339,-1,-1,315481,818348,968111,810452,158686,161259,-1,395279,464137,-1,953697,458881,-1,461475,-1,833012,443456,-1,-1,-1,-1,534849,-1,634449,-1,521496,-1,-1,-1,998033,217488,412784,-1,-1,-1,923003,-1,-1,-1,-1,-1,-1,-1,485991,595821,7211,-1,-1,-1,812759,-1,-1,-1,-1,-1,-1,81521,264911,-1,-1,-1,-1,-1,-1,-1,66919,-1,860950,718131,465141,642921,908449,742317,-1,934035,-1,-1,-1,-1,202263,387807,94655,206642,139605,-1,-1,424052,622802,-1,-1,-1,-1,109968,262388,-1,-1,-1,252287,-1,-1,-1,-1,927234,-1,648074,-1,-1,-1,167153,-1,904072,988261,655650,731211,-1,82919,-1,39107,705977,211359,607478,-1,317773,3707,-1,574580,466731,-1,-1,421462,-1,-1,-1,-1,777368,-1,631890,-1,949499,83893,-1,-1,708000,62564,-1,-1,455423,271606,14072,30985,-1,-1,-1,-1,505457,538890,-1,-1,-1,677071,966746,-1,-1,-1,-1,-1,-1,-1,124593,-1,905122,243863,620727,602117,-1,-1,-1,-1,-1,-1,900213,-1,-1,-1,-1,-1,-1,912791,278032,-1,151249,-1,-1,132163,-1,226521,761125,678234,973509,689933,404396,593502,-1,905592,-1,-1,265106,-1,-1,92924,822249,-1,954418,699043,-1,488009,-1,-1,-1,484316,-1,907939,610132,-1,842569,969591,-1,-1,-1,874245,551871,442913,677030,-1,-1,-1,828354,-1,454796,-1,-1,59625,-1,575685,198694,-1,-1,273831,-1,836886,195967,385780,-1,-1,-1,361014,815936,54440,-1,-1,-1,-1,984790,-1,164393,205851,6525,-1,105448,345226,-1,202552,-1,313443,-1,-1,310055,-1,226634,-1,-1,-1,973421,-1,-1,-1,893627,-1,-1,-1,658056,-1,625308,-1,327051,593975,-1,923999,-1,-1,-1,-1,172969,194305,609357,-1,881245,-1,-1,185928,826256,-1,896512,-1,-1,-1,961340,-1,-1,650596,-1,560637,-1,-1,631853,387905,124242,-1,562923,-1,634615,13618,159890,821788,358408,462196,-1,-1,-1,-1,-1,443230,-1,-1,-1,180448,-1,991460,-1,658111,-1,-1,741930,38688,585558,513284,-1,67435,-1,-1,869484,-1,-1,-1,-1,511069,67833,-1,774574,388340,-1,223008,-1,-1,-1,953567,-1,-1,204491,-1,-1,790179,811442,-1,230281,99897,437125,566455,261204,-1,831313,205912,-1,197342,319585,395341,90258,-1,197442,-1,522474,846783,-1,-1,-1,-1,679541,323433,-1,954530,-1,-1,226994,976055,-1,750968,-1,-1,850614,-1,526191,-1,-1,-1,-1,660663,107019,-1,774800,800810,-1,-1,111542,-1,-1,-1,450843,-1,-1,-1,691594,912516,685088,-1,460451,-1,513369,-1,-1,454871,503053,381285,-1,-1,-1,169911,308211,537898,351751,-1,-1,111219,589872,984268,-1,-1,783885,702590,-1,-1,-1,864374,976143,-1,-1,453237,-1,635740,-1,-1,-1,192907,-1,-1,-1,-1,-1,330204,349912,846148,58684,884346,1630,590617,-1,-1,-1,-1,-1,-1,539415,-1,-1,743285,-1,-1,98370,19307,143802,351440,-1,-1,750243,-1,-1,68237,-1,-1,914250,-1,-1,475638,327797,325882,-1,-1,265030,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,998680,-1,321494,-1,-1,62607,-1,-1,-1,-1,-1,658777,680021,979687,-1,-1,34077,-1,-1,-1,-1,-1,90958,-1,-1,687105,-1,322515,-1,-1,-1,920940,-1,-1,416079,-1,379540,-1,-1,-1,-1,612681,221073,-1,-1,839235,-1,59891,-1,41025,-1,-1,145380,161007,-1,347549,-1,989156,313611,332361,82536,417131,969209,325213,-1,-1,-1,-1,-1,489476,494926,-1,238261,784485,-1,-1,398686,458056,369743,287381,-1,690771,-1,-1,-1,-1,217214,-1,-1,-1,744032,923804,60400,-1,628282,725812,387038,-1,721542,-1,-1,-1,-1,-1,604747,-1,-1,724452,791888,-1,903681,449207,418698,-1,-1,-1,969604,-1,999823,-1,648543,-1,-1,446897,-1,440479,873405,-1,-1,-1,294288,-1,918934,-1,-1,-1,123944,-1,-1,249858,-1,386019,-1,-1,163077,198198,-1,329744,-1,-1,694233,300511,950801,949633,541412,546098,946745,633374,674499,-1,937930,-1,985281,755216,387424,-1,560307,756031,-1,845359,-1,81109,366068,112924,-1,-1,-1,678561,-1,842891,331844,401651,-1,67647,-1,-1,-1,-1,46190,-1,-1,-1,685832,-1,253508,820371,613690,-1,-1,366868,-1,771340,-1,219306,184773,-1,726015,-1,213675,994298,-1,458977,510909,569922,-1,-1,680472,675732,-1,293230,-1,330315,-1,844713,-1,-1,30940,3168,250522,-1,-1,-1,-1,731048,955620,868211,-1,-1,681042,231880,7910,-1,-1,673741,-1,-1,614521,-1,632814,-1,577651,-1,-1,254902,-1,-1,660226,883846,-1,530876,901795,-1,-1,21389,917481,30333,-1,-1,66628,-1,6385,132699,-1,-1,902186,201509,942180,-1,67439,-1,-1,-1,-1,-1,-1,779017,4418,372874,680938,-1,-1,266338,-1,-1,418553,-1,-1,-1,501584,-1,898234,-1,-1,-1,745142,-1,-1,-1,-1,370443,-1,772232,-1,-1,-1,531408,57091,613060,-1,360145,522343,-1,117071,-1,-1,271988,-1,-1,-1,-1,135767,312299,374579,-1,100525,421057,-1,427362,202811,-1,212404,59473,490982,-1,-1,425869,-1,755043,-1,937571,-1,228784,856531,-1,-1,-1,905043,534949,579946,125476,32626,-1,-1,-1,103800,-1,-1,644008,-1,536586,-1,-1,392202,-1,479104,-1,-1,963737,-1,-1,127639,699467,-1,-1,701761,-1,-1,-1,-1,286055,238159,-1,953427,-1,537836,25698,692370,696935,855499,-1,-1,34871,691047,-1,168900,589337,384070,-1,516561,-1,454289,-1,625504,959002,695311,-1,338933,250993,-1,-1,-1,-1,426248,-1,-1,-1,679517,-1,26329,-1,309995,970418,-1,-1,681533,833181,27172,-1,997479,253408,378240,-1,-1,503347,-1,812796,737454,-1,742959,374975,-1,295393,-1,899874,844405,-1,-1,37513,-1,836729,-1,-1,-1,91476,961502,234873,34451,-1,451116,188776,725955,-1,749004,607740,85796,231214,-1,-1,91629,858101,645304,770365,585810,710283,984537,-1,569417,-1,-1,849314,-1,777489,99740,697397,-1,474639,-1,-1,944323,-1,-1,-1,-1,-1,-1,325073,909494,552229,926324,292290,447027,341574,498757,735249,610697,607627,-1,-1,-1,-1,418351,-1,123749,-1,295972,-1,-1,-1,-1,-1,286185,-1,-1,-1,-1,-1,183716,-1,999322,-1,82794,933046,20408,341111,169184,715556,586596,-1,521305,-1,345015,834842,698634,296957,-1,-1,726126,182576,-1,454394,-1,-1,-1,759745,-1,101395,635464,-1,633277,581201,883593,-1,-1,723447,344029,814103,875504,-1,429143,727527,337312,-1,-1,308245,-1,105148,617650,-1,254307,-1,120948,-1,-1,-1,-1,-1,-1,360527,128522,-1,968196,-1,945372,-1,836193,108660,-1,29566,647722,-1,-1,-1,-1,-1,945485,728093,854328,683294,240360,963104,68785,-1,-1,695593,868124,-1,325407,-1,606716,127185,-1,898596,-1,483076,398100,822051,163916,-1,-1,42713,-1,-1,422811,791819,421717,747645,-1,-1,92322,609068,17664,-1,392487,181477,148538,155101,780663,-1,-1,263606,-1,276629,537359,-1,756151,538935,-1,-1,402162,-1,-1,-1,298320,707543,196310,-1,891637,225537,10881,-1,-1,-1,-1,68578,560050,-1,-1,203412,974356,-1,-1,513416,352030,162050,-1,445578,-1,61442,-1,970716,-1,-1,-1,491978,-1,57469,-1,-1,-1,-1,646392,767356,226087,353649,-1,-1,741918,-1,-1,-1,864733,821020,870275,-1,56515,-1,-1,-1,-1,83497,-1,-1,234989,-1,-1,159972,-1,-1,664213,339505,769867,13949,801438,318787,835390,221530,-1,-1,371719,-1,-1,-1,736096,-1,940721,425272,951889,151735,-1,-1,-1,245538,188383,-1,-1,656070,10372,712612,938196,-1,819100,623401,-1,561150,202769,-1,888965,164855,-1,-1,-1,597387,-1,383405,446901,237059,267354,213967,963123,620860,-1,953981,-1,273294,-1,-1,665358,129262,-1,602185,747925,8178,-1,151044,834942,-1,751587,798485,955845,-1,763843,381546,124778,306284,312896,219176,219658,367114,-1,-1,394775,793098,-1,-1,607827,939525,-1,727995,615542,-1,789605,119281,455481,950781,351359,-1,525513,347517,-1,854943,219857,-1,309101,18238,-1,-1,-1,481956,423973,-1,-1,-1,-1,177002,415243,-1,-1,-1,582685,61913,745493,-1,-1,-1,206459,-1,-1,360774,76458,984250,-1,-1,531095,-1,846273,730356,-1,-1,-1,-1,-1,263941,-1,228465,723941,-1,249956,-1,699639,-1,445684,328055,586605,-1,811520,179144,206336,762773,-1,230329,856503,-1,131544,66530,785771,-1,-1,-1,632003,756746,357785,299409,440138,216397,408402,43228,-1,-1,-1,748706,-1,-1,-1,-1,-1,-1,-1,902493,11689,873466,879240,733627,-1,288127,-1,847271,383219,631742,418916,-1,849367,367470,577227,694341,-1,9156,-1,112553,234978,974540,-1,170084,553718,-1,-1,-1,784329,-1,872434,-1,949561,-1,-1,244899,-1,-1,-1,-1,962250,677352,125095,424005,-1,216566,-1,-1,-1,-1,782081,-1,159648,586782,549219,-1,-1,-1,-1,732733,254917,275425,-1,160557,19047,672876,-1,-1,-1,348613,770370,495093,635904,431265,470779,63623,946349,-1,-1,-1,802369,271951,-1,679934,943517,742554,-1,100611,348490,339054,987227,170254,194374,958170,123234,-1,-1,855972,542187,186026,686417,357772,169276,-1,-1,220766,609880,369700,-1,-1,-1,-1,-1,-1,424289,-1,-1,-1,-1,997598,-1,-1,-1,931845,-1,105267,-1,-1,-1,210166,-1,-1,-1,195266,-1,-1,192192,-1,667236,187416,-1,-1,171572,938555,-1,9681,-1,36303,57377,-1,-1,-1,-1,454795,-1,53587,869851,-1,-1,423542,-1,58850,74429,739508,-1,836967,680324,-1,-1,-1,-1,531279,768959,-1,393921,-1,-1,-1,-1,-1,-1,83823,220070,552446,-1,998309,-1,861863,-1,585400,-1,161271,-1,-1,899593,-1,-1,-1,962533,-1,512168,699384,745610,472814,-1,-1,427472,-1,-1,-1,609816,341295,-1,-1,768119,783010,372827,-1,-1,944058,-1,-1,-1,860752,349237,387390,-1,-1,511916,249996,850956,-1,472113,127138,933070,-1,352168,-1,48555,-1,320910,644011,416173,-1,-1,-1,865065,705316,197125,-1,606637,545637,72247,-1,-1,252301,-1,758762,699115,181245,216211,481981,-1,266998,-1,-1,-1,-1,808001,-1,-1,-1,-1,145473,-1,-1,-1,-1,-1,119599,-1,690216,-1,84234,-1,-1,939027,-1,-1,-1,-1,830785,-1,-1,68829,815302,-1,-1,888822,175504,353683,-1,664615,400328,-1,-1,855572,450282,491562,273520,-1,168859,-1,-1,-1,-1,-1,-1,546924,-1,-1,439214,-1,-1,321255,-1,-1,637686,393569,404623,-1,823308,561883,-1,450353,-1,-1,-1,150581,756221,10132,794969,-1,245571,-1,-1,-1,106176,312596,-1,897810,549085,609072,948818,-1,-1,284979,-1,626809,-1,246671,29782,421667,821543,94738,726019,-1,829191,446647,740480,-1,-1,71973,308948,679007,826100,-1,560355,-1,329724,-1,604994,-1,-1,-1,594450,-1,-1,601289,-1,299267,-1,695382,7234,-1,89286,128805,-1,-1,10169,67007,-1,600064,722884,96005,385400,323196,-1,-1,-1,-1,944024,988983,-1,-1,616495,247935,888054,-1,-1,290443,918393,905065,-1,-1,726997,-1,87754,-1,866078,209519,-1,-1,-1,-1,120044,-1,236013,546755,206619,-1,-1,-1,498221,-1,706455,-1,-1,866126,-1,680507,-1,983942,570069,-1,-1,-1,844122,-1,-1,-1,277735,358561,-1,-1,-1,-1,900185,347577,-1,518184,-1,-1,920680,-1,610607,207142,864376,-1,49735,-1,921368,-1,51246,-1,231778,-1,-1,-1,55666,-1,201773,142527,647484,371728,-1,-1,-1,-1,882889,-1,-1,-1,988396,470686,763525,895545,723817,-1,632922,-1,817366,-1,656066,460094,355056,-1,43560,-1,-1,75113,-1,966607,339258,37910,-1,818757,-1,-1,293100,-1,536262,924991,372644,-1,-1,260927,180153,754837,103099,-1,852656,827773,117679,-1,-1,218737,-1,625706,-1,-1,677650,829930,547144,-1,-1,-1,136142,-1,561110,800799,693181,759898,-1,798140,-1,-1,294931,643742,416148,-1,788081,-1,812171,-1,-1,634848,-1,518929,259363,286532,844984,658779,393529,-1,489307,-1,-1,899415,134089,-1,-1,-1,190168,403512,-1,-1,889220,-1,-1,-1,-1,-1,996935,-1,637860,-1,-1,-1,156728,98771,812474,-1,248716,-1,-1,-1,666805,-1,-1,-1,-1,-1,578442,942791,-1,985539,747906,-1,-1,-1,20152,-1,-1,995501,-1,49156,-1,-1,-1,174849,-1,-1,-1,631481,-1,89875,-1,-1,649961,-1,584678,-1,-1,-1,563207,538602,65017,95430,-1,-1,-1,-1,719733,-1,-1,830726,841188,103258,-1,728441,980267,-1,-1,-1,-1,301348,196510,727438,-1,913809,108108,574975,518317,-1,582525,845558,-1,-1,370306,684594,-1,748995,218999,-1,460112,-1,-1,-1,174417,-1,273782,253811,790416,-1,-1,488312,-1,-1,158019,-1,234807,91977,-1,-1,374718,954132,426644,-1,-1,837842,-1,-1,436198,-1,-1,-1,309760,915649,-1,866222,-1,-1,-1,-1,-1,947486,386009,-1,-1,456395,719380,184398,-1,97352,350537,42824,-1,-1,-1,770405,-1,-1,956268,-1,712526,-1,859743,81295,-1,-1,-1,410828,-1,642845,-1,812798,-1,653898,-1,-1,-1,945054,123180,-1,754724,-1,483953,-1,691202,-1,-1,-1,306787,-1,-1,541976,-1,227286,-1,-1,-1,736729,-1,-1,-1,861984,76117,795355,-1,-1,699586,914238,312121,867521,-1,-1,493161,-1,746615,-1,-1,-1,873415,-1,-1,906391,592640,-1,-1,-1,761548,-1,-1,364454,-1,883223,-1,-1,603943,-1,775123,-1,-1,851188,921120,621841,450402,229138,-1,-1,-1,720832,-1,335656,851566,-1,-1,-1,-1,807788,-1,74655,769306,-1,-1,-1,-1,749014,-1,-1,-1,20066,760224,626108,819127,-1,42493,105270,174531,900678,-1,-1,205511,-1,560863,-1,-1,350300,625926,912238,481504,-1,957639,801737,-1,-1,787541,-1,801118,-1,297674,128083,58089,356737,-1,533118,-1,852169,867820,105624,-1,192728,82906,-1,-1,620405,-1,630115,-1,-1,-1,518742,227459,-1,-1,367167,-1,162935,-1,-1,441367,-1,-1,428225,445680,267734,-1,-1,-1,453444,387219,-1,-1,298332,-1,-1,549864,-1,-1,135594,234576,160918,-1,-1,-1,203103,770006,538489,228702,-1,612851,-1,202843,965472,923327,635897,-1,-1,827484,750938,642085,-1,-1,623231,-1,361899,470731,-1,219275,-1,699032,-1,-1,-1,-1,-1,-1,702029,590980,998208,-1,-1,-1,67244,-1,-1,-1,-1,-1,-1,405556,-1,843344,-1,-1,235205,402401,-1,867903,760703,-1,-1,158701,941394,-1,-1,999236,-1,753747,-1,916592,721490,-1,-1,9598,-1,532493,856569,-1,-1,536820,-1,-1,-1,544686,585841,427374,-1,-1,-1,-1,-1,296118,-1,-1,686084,425410,182651,-1,-1,333943,-1,-1,-1,234678,-1,437622,-1,504760,-1,-1,579932,560007,-1,-1,-1,-1,-1,-1,-1,475120,-1,153822,739101,-1,538730,129559,143692,-1,809545,-1,-1,114862,958037,-1,-1,80988,849316,776076,-1,-1,549011,-1,-1,-1,-1,449949,-1,-1,-1,385837,-1,743339,872931,-1,898236,-1,-1,70002,-1,-1,609252,-1,587181,-1,300076,879,-1,-1,-1,437935,-1,-1,815549,282602,220634,315484,60836,-1,-1,-1,-1,16038,414584,449605,830077,-1,712006,-1,727345,921635,-1,666129,-1,194183,-1,-1,139477,252151,-1,-1,-1,-1,384089,921993,998821,586528,-1,957127,-1,750260,-1,43464,-1,60629,-1,-1,920338,787107,-1,-1,-1,-1,-1,675190,965143,674573,-1,-1,-1,-1,-1,352072,317927,-1,17430,797135,474508,-1,370668,-1,-1,153995,-1,216943,-1,-1,-1,772260,380944,879355,384329,745096,868794,29641,604425,644928,416392,-1,662611,496796,-1,723923,40854,312038,-1,353601,-1,399104,822429,-1,315238,-1,203749,-1,-1,-1,-1,595234,367511,78200,995711,-1,599266,198032,-1,63799,-1,700120,-1,-1,822818,-1,390707,31866,52043,-1,-1,540661,643310,635515,-1,-1,962834,922780,253723,-1,825784,-1,29353,391015,-1,-1,775678,907332,534259,-1,690832,-1,-1,-1,601623,202353,343858,-1,-1,861460,-1,240233,-1,163753,891208,-1,593768,-1,-1,346910,-1,-1,-1,-1,474516,-1,905200,-1,-1,-1,-1,895382,-1,298807,321546,826467,855319,256880,868065,-1,967264,-1,-1,634833,346247,346027,846724,-1,16668,934213,-1,371711,152134,287551,-1,533384,-1,-1,14680,225897,-1,828196,587827,-1,-1,493250,508148,-1,-1,-1,406935,-1,850837,651251,-1,292887,29837,175406,885453,-1,526743,-1,864331,-1,-1,-1,-1,-1,-1,43505,175873,745961,986445,979635,-1,-1,-1,-1,-1,592611,278696,-1,-1,640885,168572,357306,816328,385304,-1,110045,-1,217492,-1,-1,710553,622723,873793,-1,881967,-1,-1,428578,-1,472604,538059,-1,24018,-1,984734,716365,666515,604478,-1,534059,51386,-1,182903,-1,-1,582185,466035,-1,-1,-1,949553,-1,-1,897638,561986,-1,951804,-1,-1,-1,800507,188370,662314,-1,-1,-1,231528,134631,737067,643893,59690,530388,159122,-1,-1,923604,-1,-1,-1,36394,481145,-1,510602,-1,-1,-1,517828,-1,585488,-1,-1,39070,-1,848187,2887,-1,526517,-1,598291,531161,-1,-1,829994,716961,-1,452274,489793,-1,-1,488729,20603,-1,179587,-1,71185,-1,-1,192347,883236,294335,919599,-1,339230,-1,895207,-1,411607,-1,-1,-1,218053,350372,588716,387298,-1,-1,-1,-1,532780,-1,-1,179157,-1,936029,-1,-1,890324,322612,-1,-1,-1,158171,-1,515656,843667,-1,260608,137230,205599,119010,-1,-1,66549,-1,-1,-1,142937,-1,930423,-1,349824,-1,725780,-1,-1,-1,-1,168391,617011,-1,-1,-1,998318,-1,-1,-1,-1,191843,399893,304241,-1,-1,515029,287556,-1,8794,-1,-1,957661,-1,-1,-1,557419,-1,61328,-1,365601,-1,447712,-1,-1,-1,887604,807329,-1,995496,-1,-1,-1,550241,-1,-1,216531,-1,-1,433574,-1,-1,-1,715251,439884,-1,882603,-1,-1,-1,122988,961528,296387,612697,-1,-1,92649,845421,-1,-1,-1,943016,-1,-1,528860,-1,-1,-1,-1,-1,733633,-1,-1,-1,-1,-1,752333,-1,-1,224161,864613,-1,512277,884634,409490,637485,-1,-1,787279,19292,486685,-1,853121,-1,704723,-1,-1,341919,734624,-1,-1,324688,-1,-1,845018,936215,275562,-1,-1,-1,-1,-1,292882,364626,-1,-1,274555,84571,-1,-1,-1,-1,-1,864243,-1,-1,-1,-1,-1,-1,-1,691973,-1,-1,400795,-1,451527,-1,-1,-1,499647,-1,-1,-1,506062,-1,-1,-1,770101,-1,188929,-1,790985,602246,107814,124865,309665,105666,-1,29538,682446,276799,8105,-1,125683,-1,538093,228180,-1,824349,873997,90156,27913,-1,-1,638480,-1,389591,-1,-1,-1,-1,284133,813168,-1,510289,-1,612368,951799,559659,395940,-1,-1,793994,-1,88074,-1,149395,-1,-1,-1,365260,-1,789470,576484,-1,-1,-1,677765,236614,-1,-1,-1,527235,-1,363143,200869,353216,757092,-1,-1,349046,-1,-1,-1,-1,-1,686135,-1,-1,392705,-1,-1,-1,503230,-1,882328,-1,359355,205661,-1,741464,-1,-1,-1,-1,399065,-1,867612,-1,650598,934701,-1,-1,-1,682834,-1,-1,-1,18104,115706,-1,542731,-1,-1,388880,-1,172894,460849,179666,384005,244677,-1,878567,405860,-1,-1,-1,974069,212514,715575,-1,-1,860021,428698,-1,-1,-1,-1,757405,470648,-1,-1,-1,-1,65763,-1,983344,976283,-1,-1,-1,111623,154048,-1,142216,-1,-1,-1,-1,352097,507425,21700,255345,278995,449259,618228,360094,415438,263469,-1,799366,659822,-1,-1,220704,-1,470963,981512,-1,146341,655648,116046,126335,-1,451781,945486,158731,116740,666444,-1,-1,-1,-1,-1,74745,-1,-1,-1,190062,-1,20738,836678,-1,5760,-1,-1,267392,472838,-1,-1,514870,717423,-1,10971,-1,-1,275127,-1,-1,624035,497607,-1,-1,-1,-1,-1,-1,-1,572659,517271,-1,801710,-1,571554,-1,-1,433220,-1,-1,362789,993436,790191,381290,-1,90653,-1,630060,218087,-1,-1,186750,292132,671007,-1,-1,566795,384486,-1,549667,-1,483197,-1,902444,388396,202851,817028,792325,-1,-1,801990,-1,-1,-1,-1,-1,-1,975032,746968,-1,-1,-1,-1,-1,-1,-1,-1,592481,548342,421627,-1,-1,-1,31824,431383,-1,-1,275142,-1,122332,408586,769170,-1,970925,-1,-1,898451,658603,-1,-1,-1,926303,-1,-1,651769,-1,-1,-1,828175,-1,-1,186487,630865,425974,44886,889694,181183,427224,532787,-1,-1,-1,-1,727692,263327,743130,600887,788233,221263,325130,-1,942691,380936,-1,865326,-1,863300,22464,-1,553131,181719,-1,-1,-1,582913,-1,-1,824782,-1,-1,-1,-1,-1,-1,-1,478874,932754,740111,-1,-1,55714,-1,23545,-1,390520,-1,-1,367554,444796,-1,-1,975579,529455,-1,-1,12174,246727,-1,-1,-1,-1,439308,-1,510077,-1,705901,-1,-1,782899,-1,-1,-1,454725,-1,-1,169914,-1,-1,292692,-1,962990,608387,-1,-1,-1,-1,-1,-1,310196,369969,945290,-1,-1,705090,-1,553152,551976,468651,609177,231069,-1,18582,-1,-1,15197,-1,-1,-1,-1,-1,-1,-1,-1,-1,697584,-1,70635,763156,-1,-1,4158,-1,372886,328536,442147,-1,81175,187395,693854,-1,110767,762370,914806,442099,-1,143871,-1,109549,476954,-1,505962,314420,-1,-1,746262,-1,-1,-1,338292,295330,377320,-1,60223,-1,-1,340122,792571,-1,39098,-1,-1,617365,939792,990327,-1,-1,180800,-1,-1,-1,-1,363034,102516,-1,-1,-1,145292,-1,-1,937450,-1,-1,817553,467817,-1,-1,392557,873001,725990,951358,290419,777577,602831,-1,-1,-1,209094,-1,-1,-1,-1,-1,-1,-1,-1,110586,601472,873761,-1,-1,457706,372982,-1,-1,65064,413834,-1,-1,254396,-1,-1,-1,-1,656669,877814,73762,938519,878421,445236,-1,528838,-1,-1,425237,-1,-1,295861,-1,9621,930032,83340,215125,-1,765337,-1,-1,372382,388792,287900,129529,94953,-1,865352,-1,375607,354201,-1,541744,-1,22764,145913,-1,482096,447178,75095,-1,-1,100563,433443,28492,-1,741603,-1,782771,-1,170559,7655,-1,-1,-1,-1,-1,517963,-1,-1,524819,-1,586598,-1,-1,-1,-1,661260,-1,-1,-1,471817,-1,-1,931667,918344,547511,228089,760242,287783,-1,970027,-1,398377,801621,-1,178103,-1,456329,504565,88347,587188,293869,138115,-1,585469,385242,-1,-1,492689,737809,257309,-1,275459,-1,-1,950987,143629,-1,241489,-1,225487,-1,-1,881109,-1,-1,644310,-1,-1,256278,-1,184799,185292,977674,-1,209017,-1,-1,-1,196095,289836,731355,29089,876473,666110,870384,-1,-1,-1,213779,-1,459021,703417,896799,613484,-1,-1,-1,-1,-1,337636,261706,-1,-1,478408,890721,545019,765653,12732,231875,574775,324048,418027,-1,609304,334813,310821,-1,-1,751590,-1,-1,-1,737444,111419,-1,70883,390166,-1,685719,-1,-1,-1,-1,95781,487263,-1,-1,754823,746029,-1,-1,164505,-1,-1,274580,-1,-1,118337,-1,675292,-1,-1,-1,583194,-1,-1,603321,-1,-1,-1,153398,-1,-1,-1,-1,699772,-1,730271,589482,-1,-1,-1,434377,650288,-1,-1,-1,-1,514697,821400,410083,-1,-1,-1,-1,404725,-1,502815,-1,291615,-1,175039,491235,366629,-1,-1,-1,793320,607432,-1,-1,226675,932394,-1,-1,-1,-1,-1,277359,478888,985031,211566,-1,795115,776557,-1,-1,-1,666673,301845,-1,-1,487275,585614,-1,-1,-1,-1,283131,-1,-1,-1,-1,-1,-1,-1,-1,219079,376484,-1,7850,407731,592226,-1,-1,-1,-1,248227,-1,795711,-1,259171,-1,957516,688301,475072,-1,302408,177129,-1,-1,-1,814894,184700,293991,877435,-1,-1,-1,942104,190984,-1,-1,-1,-1,552966,-1,258354,246415,261297,-1,-1,-1,-1,-1,-1,491773,29139,311991,87128,860162,598031,803853,-1,-1,809113,996069,185420,-1,-1,288446,443822,-1,936003,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,35187,-1,-1,839463,903786,670400,880445,-1,-1,73161,695762,-1,-1,-1,-1,555106,206238,-1,43480,345692,180869,408411,-1,15,623050,67885,480652,-1,-1,35385,169319,-1,-1,-1,-1,991501,70029,-1,570863,507917,680051,-1,793485,166716,-1,-1,-1,-1,-1,211674,-1,531938,702430,470345,-1,38990,194747,-1,-1,-1,832287,-1,478813,94200,500723,-1,-1,646306,645605,470202,-1,569562,-1,-1,-1,662336,204626,506468,467537,773106,-1,535754,-1,620247,-1,-1,231510,288506,192081,195978,-1,273375,529338,-1,448255,299933,155547,401148,-1,977058,-1,798395,-1,268778,586245,329233,-1,-1,747137,330130,-1,-1,635785,-1,-1,-1,-1,655304,-1,-1,154711,-1,-1,-1,-1,-1,102240,-1,691058,627076,66849,-1,811203,105771,53568,563622,43096,-1,567177,-1,781872,226519,-1,-1,-1,-1,337674,311620,-1,128000,-1,141203,-1,127422,171890,40058,-1,-1,-1,-1,354854,-1,-1,-1,342543,199810,-1,157758,-1,329877,613398,-1,-1,964404,-1,-1,101643,-1,18608,806792,-1,656463,610153,-1,-1,-1,-1,-1,-1,738226,513639,-1,401311,-1,-1,-1,685645,-1,-1,569116,392970,578312,-1,891346,934899,843525,-1,695051,-1,-1,-1,-1,311556,94932,209251,-1,-1,-1,136008,-1,-1,-1,-1,435268,168049,-1,428835,-1,-1,-1,-1,-1,-1,-1,-1,-1,566511,-1,-1,944860,805413,-1,-1,62143,288510,-1,777542,-1,851249,-1,322032,-1,974961,456400,-1,279319,886881,-1,272974,-1,-1,-1,290161,819467,310279,-1,432749,218784,-1,420779,-1,400780,-1,-1,919033,963712,-1,183342,-1,918307,-1,444521,104810,245794,149682,875789,140389,903613,695615,-1,138974,-1,-1,52690,791148,519289,-1,888315,-1,6992,-1,-1,779518,768138,741459,-1,848938,-1,258269,-1,-1,-1,-1,417452,-1,403776,-1,-1,-1,-1,841982,317822,95591,431947,-1,692874,11332,422023,215731,69893,842327,706405,137961,599554,-1,535342,873908,-1,-1,-1,472896,-1,-1,755296,387812,696911,682774,971335,-1,-1,774461,-1,897296,50588,573372,-1,775813,-1,585040,307408,329126,-1,375903,-1,721043,652426,-1,105243,-1,477487,791909,296941,-1,-1,601334,433840,607136,-1,738625,214825,167989,447468,-1,-1,399233,844655,-1,812383,-1,-1,131875,906202,756735,184465,-1,-1,466388,-1,523578,-1,983770,756162,-1,-1,897762,843243,909538,66157,-1,950372,-1,33631,75626,-1,-1,-1,-1,792860,199749,150398,135727,147777,-1,-1,-1,136454,-1,-1,713113,848981,-1,-1,-1,286642,-1,928073,586401,903102,346239,-1,-1,191969,877208,456066,912980,-1,-1,-1,100877,110912,718696,185050,-1,-1,-1,-1,855040,-1,528225,-1,-1,625484,159019,-1,253725,-1,-1,18155,447190,-1,294332,-1,308570,918391,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,844199,346209,283645,-1,-1,976958,-1,-1,-1,807870,146838,-1,-1,-1,863734,-1,566607,-1,159561,11891,888096,250393,-1,591626,-1,-1,-1,-1,56380,742074,237740,74200,172323,-1,124259,-1,598969,-1,816603,495555,-1,990721,563556,410339,-1,-1,162714,529288,927519,129218,866592,-1,575747,-1,996251,292073,-1,-1,160347,725030,-1,-1,268556,-1,-1,613566,-1,-1,624197,52479,789157,-1,-1,701825,-1,383174,602790,565070,-1,817300,-1,366101,-1,104742,-1,61336,-1,379844,-1,-1,-1,909423,-1,167169,710699,824723,-1,-1,-1,128107,-1,993297,291261,480977,528210,-1,-1,-1,-1,839207,270992,264255,-1,133714,-1,728450,232838,705530,-1,-1,798989,619674,-1,-1,491862,486463,-1,-1,-1,-1,621050,589147,897688,986375,26320,492255,931093,157794,722554,-1,137514,546109,152747,719163,387113,978712,-1,327781,329883,889530,492333,-1,988918,749351,-1,-1,-1,379747,931138,285289,705300,-1,-1,-1,325930,-1,769618,274173,686004,979469,-1,422328,-1,-1,-1,-1,-1,-1,-1,-1,199058,-1,881995,634568,765610,965838,87070,747875,-1,-1,-1,-1,616203,125008,151963,-1,-1,-1,-1,-1,645368,977598,184951,577714,32779,77542,757542,-1,-1,509652,294259,78064,-1,-1,89524,117350,60473,-1,-1,165684,543942,41409,-1,610468,-1,552455,323803,-1,727643,-1,757792,-1,933382,123746,189902,-1,-1,365215,-1,105368,731662,-1,972777,-1,839352,-1,-1,579697,-1,-1,999993,621839,-1,-1,-1,-1,-1,-1,-1,976207,-1,416215,543983,-1,-1,837150,61532,404476,972098,-1,590530,-1,-1,-1,-1,838037,570393,922769,227022,-1,978697,-1,694645,794881,-1,521157,49921,-1,173405,-1,844665,807190,103531,-1,395638,810933,-1,-1,-1,176553,-1,297891,958172,-1,-1,336934,645871,-1,73809,-1,-1,820978,-1,608929,-1,-1,-1,-1,-1,-1,484651,-1,906751,416832,-1,669327,-1,-1,974200,759997,-1,-1,812275,24377,647960,-1,949182,-1,-1,-1,-1,94768,582096,-1,632993,-1,-1,631792,2099,799126,-1,587841,901396,-1,-1,912664,-1,-1,454478,190604,491731,-1,-1,-1,-1,-1,291259,877240,445412,-1,953169,588104,715993,99914,191243,221521,-1,620436,-1,-1,-1,201877,-1,35919,7755,66886,903073,-1,464924,706166,-1,-1,561825,838555,789792,293433,607778,328607,-1,636123,-1,437687,364357,547974,-1,261537,80525,676867,727534,327162,729390,-1,768319,-1,-1,-1,887048,-1,-1,-1,-1,-1,-1,949897,-1,-1,-1,322115,-1,958729,862069,815164,612553,229830,554657,-1,-1,226178,339163,-1,-1,-1,-1,-1,755102,-1,690876,95614,-1,-1,-1,-1,194053,652055,-1,211869,-1,-1,-1,701509,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,555616,-1,-1,989510,-1,100143,-1,8205,-1,287483,-1,-1,227577,774180,-1,798487,-1,983458,-1,87915,516463,-1,-1,-1,-1,266099,914950,286537,957057,-1,-1,-1,-1,-1,-1,595865,-1,684710,704261,-1,-1,464489,-1,961499,411038,560534,-1,-1,-1,968307,197289,-1,377683,777444,81892,869404,638543,658870,25118,100940,119061,276899,96849,-1,-1,-1,565203,-1,-1,580402,-1,-1,555165,-1,-1,5816,844337,-1,-1,516264,-1,870593,324464,-1,472919,971590,840442,111783,-1,-1,-1,-1,706285,128784,-1,614474,567458,-1,-1,610315,789726,-1,941466,-1,862943,-1,-1,554795,-1,658155,-1,2838,-1,641024,-1,763236,342535,655574,412572,6740,-1,-1,68391,-1,-1,937885,-1,506054,20869,-1,943697,-1,-1,-1,134400,655186,-1,-1,601806,-1,219136,-1,953137,-1,-1,-1,860527,-1,-1,981656,-1,961677,185876,875500,9784,-1,601903,872421,210493,612283,-1,107620,765200,-1,26454,-1,-1,647170,-1,665203,-1,945068,481360,-1,818290,-1,228386,362872,610389,528228,861626,935799,-1,822131,102984,928059,-1,120329,-1,-1,236070,913814,-1,-1,795036,305547,-1,-1,308899,-1,-1,-1,365830,-1,-1,-1,-1,-1,399382,368634,-1,-1,-1,-1,-1,-1,-1,69415,-1,-1,610301,370363,77837,-1,236067,-1,55122,209342,-1,113768,-1,74402,576395,-1,-1,-1,-1,230789,-1,-1,-1,73245,659663,200281,-1,818586,-1,-1,-1,658878,766796,359254,537263,-1,-1,-1,-1,985749,130310,-1,-1,681405,-1,-1,-1,-1,-1,-1,-1,350993,-1,-1,-1,-1,-1,866714,-1,-1,-1,-1,-1,646615,699890,-1,141702,785376,-1,-1,-1,-1,-1,586324,14609,-1,-1,774872,756649,228179,-1,-1,-1,929464,616027,737545,-1,-1,-1,-1,-1,-1,-1,646128,-1,735716,-1,-1,967498,-1,940094,456015,-1,-1,-1,-1,-1,530691,-1,719895,626214,-1,-1,578208,-1,237265,530089,-1,337923,-1,74552,771654,488987,333606,470768,992557,-1,-1,570549,-1,853723,45756,780332,-1,211353,-1,-1,-1,-1,608647,197728,141595,-1,793741,-1,-1,-1,-1,-1,390854,158977,842800,684924,566313,-1,315109,-1,-1,647704,900387,935617,-1,251383,-1,7503,709996,-1,377759,-1,-1,492101,681907,-1,-1,-1,-1,-1,-1,335134,-1,297099,-1,-1,-1,-1,295162,-1,513142,-1,318831,-1,394330,-1,-1,-1,453500,-1,-1,-1,-1,-1,-1,16807,214527,-1,-1,-1,-1,-1,682445,143630,-1,209535,-1,-1,593926,-1,-1,-1,-1,425372,917705,-1,556407,168383,-1,-1,366822,669851,-1,-1,458082,125573,451290,736145,-1,-1,113697,448597,-1,-1,-1,-1,906577,-1,70323,604572,-1,748540,-1,-1,640109,895572,134664,217481,-1,-1,311039,-1,973015,-1,196372,-1,579470,-1,-1,163988,-1,430661,221468,-1,-1,297680,-1,-1,522929,126996,-1,-1,427160,-1,-1,709865,247555,158044,-1,-1,563893,-1,-1,903086,-1,-1,155580,-1,987253,-1,-1,422444,-1,-1,-1,-1,-1,-1,-1,504538,846383,522374,-1,-1,-1,215297,526798,602638,-1,-1,-1,618721,6405,213962,611111,-1,493626,168739,21827,542042,-1,-1,184019,-1,-1,-1,-1,848339,-1,207533,649081,-1,539985,960190,354411,-1,-1,-1,-1,521284,-1,792760,588671,756590,342546,53179,-1,-1,-1,-1,257781,-1,-1,-1,-1,-1,653754,-1,-1,657376,-1,318584,-1,977960,642516,116293,-1,-1,-1,702504,-1,507539,431966,121803,275542,-1,-1,-1,-1,-1,-1,215107,-1,917685,-1,830423,-1,-1,580379,726163,234367,250799,-1,655280,528593,-1,-1,546414,-1,972682,82200,514011,-1,438184,581792,306481,310212,163171,297053,38587,-1,332364,583309,-1,654760,267449,86725,-1,175437,-1,655916,-1,625415,356470,455635,-1,-1,-1,66168,-1,63435,160234,-1,-1,499203,822495,-1,248453,-1,770029,-1,-1,-1,-1,-1,-1,-1,367212,188947,933197,902926,727707,-1,-1,-1,-1,-1,-1,43944,-1,41462,-1,-1,-1,-1,188876,735585,195523,987675,-1,-1,-1,753879,35851,-1,-1,211438,609764,-1,540680,768069,528684,955779,995304,-1,-1,-1,-1,-1,109402,-1,-1,-1,-1,-1,-1,-1,-1,531851,751094,-1,-1,350576,87901,235824,-1,545220,744725,352209,-1,611843,355148,765883,489557,219802,-1,709953,522444,-1,579178,-1,196088,-1,473560,-1,972854,403063,-1,-1,-1,741574,152820,-1,-1,16884,-1,4038,-1,86005,-1,160820,704057,-1,-1,-1,-1,-1,-1,-1,-1,329192,162769,-1,-1,727186,-1,564743,-1,55896,474832,-1,328373,-1,68863,-1,291079,-1,893189,-1,-1,405942,976367,582581,302818,-1,-1,-1,746256,-1,-1,-1,17087,-1,-1,-1,316972,-1,301117,694229,650946,-1,323009,256975,138456,-1,544570,430265,-1,389789,-1,227256,12260,-1,-1,-1,266606,-1,-1,983037,978544,273373,-1,-1,-1,375084,-1,-1,-1,855747,-1,947632,-1,854963,-1,76670,898239,-1,42339,-1,-1,451903,-1,-1,742723,806075,707044,-1,-1,-1,622033,-1,788457,629248,120497,62398,-1,-1,-1,296816,-1,-1,-1,164219,-1,27761,63194,-1,-1,417079,-1,666611,-1,87649,-1,564132,-1,-1,-1,-1,371764,779338,-1,-1,547686,443159,911729,125183,452139,-1,-1,-1,-1,-1,40278,-1,328537,-1,141721,501701,1922,-1,855100,-1,581638,-1,207630,918243,982060,15544,-1,7901,-1,-1,-1,159663,-1,649578,294888,-1,244554,-1,-1,-1,-1,-1,670108,84560,25979,876020,78788,-1,-1,-1,-1,25447,-1,-1,-1,-1,628995,44579,949618,-1,-1,-1,869001,883078,509347,558552,-1,518426,-1,491317,525456,-1,461003,-1,-1,-1,260621,-1,459596,196474,-1,-1,882685,120944,-1,915812,-1,-1,928236,181522,-1,-1,196535,-1,779135,-1,-1,581734,650829,-1,-1,-1,40276,759136,205842,218093,-1,305860,-1,368319,-1,440327,-1,-1,-1,-1,-1,-1,910128,936942,-1,-1,-1,-1,280860,-1,410944,-1,905106,898464,893430,646248,-1,-1,-1,-1,-1,166180,689749,788181,-1,40707,731653,-1,300648,-1,-1,391328,180435,285460,215012,-1,-1,279082,-1,224071,-1,-1,-1,-1,65334,-1,-1,-1,-1,-1,-1,819054,106045,-1,876175,388807,-1,-1,769993,-1,-1,535461,641507,-1,976525,-1,255200,924666,-1,-1,-1,814440,670782,218710,-1,925282,-1,829305,821098,26633,597419,-1,-1,190789,41898,-1,709832,-1,392294,-1,378355,454022,-1,-1,-1,395608,882629,207543,-1,-1,62862,-1,635015,-1,-1,989354,-1,-1,-1,450199,467749,893603,761933,906384,-1,-1,827017,-1,92939,832857,769716,412545,546814,-1,103770,445179,336339,-1,130434,-1,721834,-1,612541,90757,-1,399775,658661,-1,269394,621177,410953,-1,-1,800864,-1,581628,-1,631318,556617,121554,566335,26124,718465,23944,65787,830703,262589,-1,-1,-1,869100,265929,196102,864162,-1,-1,-1,141155,91784,712246,-1,286835,482171,76666,225446,-1,-1,-1,639935,-1,140642,359288,368782,-1,652839,-1,552326,-1,61397,257651,-1,179008,-1,-1,120156,-1,863082,-1,-1,-1,-1,-1,93358,-1,-1,-1,753704,-1,253170,848948,-1,932098,-1,-1,-1,-1,-1,324450,423711,739160,-1,-1,941888,51905,816362,728774,210292,-1,-1,-1,451338,-1,781246,174649,-1,-1,789236,-1,-1,468739,67669,-1,-1,-1,125664,-1,-1,-1,-1,542916,-1,-1,105975,109511,978363,-1,773111,352719,-1,-1,498727,973755,832838,450603,-1,525553,-1,418410,266862,224175,511477,729789,861623,382710,599682,469123,712115,-1,-1,584538,111449,-1,-1,-1,-1,-1,551152,396771,-1,-1,65438,207803,-1,685287,-1,817623,-1,571397,655879,-1,598362,-1,-1,-1,-1,629400,-1,796407,-1,180322,-1,-1,-1,437679,-1,-1,-1,871720,794877,81330,-1,-1,11584,-1,308062,225419,518217,613682,-1,215249,-1,175426,632676,-1,-1,833977,-1,-1,632662,-1,549118,-1,381180,-1,-1,-1,-1,-1,-1,-1,392816,674321,841811,866819,-1,-1,833118,639001,428150,994578,832719,55455,-1,340008,420005,-1,656130,618016,-1,770740,-1,-1,360467,-1,259930,-1,-1,-1,-1,-1,759106,955012,576077,66092,-1,-1,-1,26625,118948,26166,-1,-1,-1,-1,-1,-1,422261,-1,451990,419285,-1,12291,-1,558251,-1,456010,-1,767146,-1,905480,102719,238700,-1,-1,-1,-1,527896,205663,331960,-1,-1,648634,306418,583967,-1,-1,287388,-1,510519,55596,854688,-1,-1,17385,451336,670330,815740,-1,-1,765118,-1,938981,641401,-1,-1,-1,-1,-1,101401,-1,-1,809867,762203,974962,136512,858299,81898,-1,210399,-1,387115,248718,186605,841246,397888,399773,917507,877769,-1,103313,658912,683492,-1,-1,-1,-1,975946,-1,845739,535095,-1,538930,993626,-1,-1,-1,685696,458200,-1,-1,-1,699970,-1,-1,541003,866295,461665,395680,-1,343486,474741,-1,-1,-1,-1,88235,358479,-1,886913,171699,-1,-1,930669,-1,-1,-1,-1,663794,463409,56362,-1,-1,-1,135816,741631,952487,979273,211034,278019,-1,-1,629695,-1,-1,-1,352325,-1,161851,-1,-1,378189,-1,372671,-1,-1,375886,-1,-1,838939,-1,-1,17142,103627,-1,934293,-1,-1,63645,-1,505999,-1,-1,-1,-1,508646,-1,-1,838587,-1,758078,-1,455810,-1,-1,977342,963351,-1,-1,-1,-1,512641,485363,108490,-1,-1,-1,666273,-1,-1,-1,-1,496101,763703,109456,320009,-1,-1,-1,130193,-1,-1,576063,569499,907036,689774,-1,431443,296512,760548,890840,690041,95916,776223,863492,899410,-1,907809,574652,990039,37059,-1,994307,-1,-1,-1,140218,-1,-1,-1,-1,663318,330910,491291,202736,765978,-1,181591,506750,-1,-1,112542,-1,-1,638296,756246,-1,363365,322574,-1,-1,-1,585252,202733,-1,826628,-1,-1,-1,355394,665387,708375,917020,-1,959870,-1,28530,527782,509107,164121,169108,753028,378990,-1,-1,-1,-1,921769,287809,998979,-1,-1,-1,513202,614822,697927,-1,-1,11203,63009,-1,719201,850023,695101,-1,-1,211306,912540,138932,-1,180719,899695,-1,393190,-1,470914,798238,-1,-1,242305,-1,-1,276526,-1,-1,367615,401320,223711,-1,426811,58394,508905,963647,-1,114526,-1,-1,941783,-1,705420,-1,-1,937915,766913,-1,172278,3221,-1,-1,-1,481144,649036,743952,-1,-1,-1,-1,-1,-1,700451,-1,135125,-1,84815,-1,442148,115145,184241,-1,660175,651023,373605,819658,-1,663452,-1,-1,947660,938602,873698,-1,-1,491108,63888,755067,-1,-1,-1,55466,-1,-1,778800,-1,-1,-1,-1,-1,967796,452690,237555,533345,-1,335403,-1,-1,-1,161672,-1,966132,294574,-1,736313,-1,19771,-1,41401,-1,233329,854326,-1,710482,-1,-1,-1,592050,-1,-1,-1,607691,156676,-1,988706,425263,-1,198035,138406,844750,47233,-1,-1,-1,773040,-1,830002,750712,-1,51613,155881,565739,183735,874579,804028,336535,-1,-1,821052,960698,339203,-1,-1,475727,252314,499240,876132,-1,-1,-1,551667,-1,245203,872565,60802,95911,515718,-1,-1,787259,913539,-1,-1,565382,-1,-1,-1,-1,-1,-1,-1,141540,890716,789952,338296,458947,-1,431619,-1,-1,-1,-1,-1,508927,981231,319566,-1,268312,766209,-1,-1,-1,456578,845007,-1,679103,-1,-1,602648,911807,-1,855565,-1,-1,-1,913002,-1,483431,29273,731665,-1,-1,488588,138468,-1,455695,-1,-1,-1,160053,784370,-1,-1,465377,919100,659901,-1,823254,656279,718780,403777,-1,-1,233495,-1,-1,289008,-1,570612,439053,11377,-1,483405,-1,-1,-1,290964,-1,988619,241795,-1,-1,960130,-1,504984,-1,-1,-1,-1,-1,817716,657832,-1,451776,291210,-1,-1,61966,-1,226648,582529,-1,567483,455504,-1,-1,310098,417145,456560,-1,137309,-1,-1,-1,58541,950634,-1,458152,491137,325767,-1,845663,-1,-1,-1,613631,926836,584542,191390,486043,4366,-1,-1,-1,749872,-1,9749,646084,559621,-1,-1,-1,-1,49010,831677,236349,427389,-1,-1,620913,495923,-1,583355,-1,-1,754851,592726,384298,521318,183304,-1,-1,281804,152902,-1,-1,-1,-1,431541,-1,318173,-1,589101,-1,865742,458397,344347,337212,-1,-1,-1,899447,644334,381855,-1,-1,915428,661327,531737,-1,-1,449891,623162,-1,-1,119274,-1,939626,567222,-1,742856,-1,514741,145141,864639,443962,159653,290562,-1,630360,895527,542358,331881,-1,692103,851162,311328,784854,235771,131214,-1,-1,-1,-1,123150,691319,843325,758170,219926,-1,-1,639474,-1,-1,-1,-1,-1,-1,260384,-1,787784,-1,930112,217074,-1,582425,-1,503876,-1,-1,911668,188593,-1,741917,678126,860726,-1,52356,-1,284261,640234,763726,-1,-1,862823,-1,952456,429405,671978,-1,518697,-1,184691,206250,-1,-1,-1,-1,-1,-1,-1,-1,256583,-1,-1,538988,792572,857277,752068,566793,480199,-1,338300,-1,684664,684131,425076,245327,-1,841053,-1,485713,776969,-1,-1,-1,-1,-1,-1,-1,533193,947439,-1,135754,914803,217311,-1,-1,921473,-1,-1,-1,653355,-1,199250,-1,150718,-1,-1,-1,-1,628177,-1,-1,-1,390685,-1,119822,-1,-1,-1,402080,442571,-1,-1,-1,-1,-1,-1,37120,666311,-1,-1,-1,908272,-1,-1,-1,775021,-1,-1,878655,648271,489845,667928,99192,-1,-1,-1,51659,-1,261578,186035,372072,-1,-1,-1,-1,-1,932045,467346,565409,120355,861820,-1,317585,904612,-1,109898,-1,703940,-1,-1,107714,-1,-1,-1,-1,-1,-1,658996,442863,661537,-1,817488,-1,-1,-1,660359,398470,810448,-1,-1,-1,-1,-1,-1,836402,-1,991755,876827,557195,420080,-1,821339,423144,-1,309421,-1,-1,-1,587418,-1,897872,-1,-1,-1,316756,939315,-1,-1,-1,171578,-1,347395,-1,-1,-1,908124,-1,570063,768342,169903,41791,-1,851001,66882,-1,-1,-1,-1,-1,489101,601681,220845,-1,-1,368774,-1,-1,191221,-1,-1,894201,214251,371832,-1,-1,-1,846867,544587,251438,-1,-1,-1,365706,463759,-1,-1,-1,52495,-1,-1,6081,-1,627574,319672,475119,-1,295293,-1,513273,424174,191853,11904,214391,691485,596777,854003,-1,398116,-1,-1,70432,-1,755624,-1,282269,62805,158347,824395,38984,-1,477242,746556,-1,-1,-1,698941,427499,-1,-1,291475,-1,558291,269327,725567,916390,994765,-1,-1,543920,281915,-1,908556,436864,-1,47462,-1,285922,744426,-1,259219,808369,881628,-1,-1,649927,869822,232641,967373,-1,108225,57495,-1,848531,-1,961687,-1,852677,-1,880762,334448,-1,576514,368632,-1,979233,-1,-1,149657,859620,-1,17299,503735,-1,355881,108078,335019,445845,-1,-1,221878,-1,722506,906854,-1,-1,708963,159289,869864,145226,630683,458951,-1,-1,524567,-1,-1,-1,899117,-1,819149,-1,512503,-1,203149,-1,-1,637853,-1,-1,-1,-1,-1,699755,495709,-1,-1,-1,804989,536659,310162,670538,641317,-1,245430,-1,-1,815332,545838,617972,-1,-1,585631,726504,474488,-1,132205,-1,-1,429342,563607,-1,-1,980744,-1,479446,52393,-1,223648,821872,395213,-1,-1,764810,822431,734628,422068,-1,-1,777680,527122,-1,778353,-1,-1,601062,-1,-1,242468,-1,-1,-1,722994,-1,-1,312326,-1,-1,918058,581282,162654,807133,-1,622666,-1,964310,533347,-1,-1,739911,800587,-1,-1,924830,414109,-1,-1,-1,425996,491715,-1,-1,-1,309833,480277,-1,-1,-1,776617,-1,103363,-1,815899,-1,-1,169031,-1,-1,-1,-1,-1,638849,-1,-1,53863,798100,340419,-1,-1,251599,-1,720343,947339,356410,795452,177999,977046,890139,192212,-1,62012,517541,941047,-1,257260,462594,851301,368854,-1,-1,95170,-1,408938,176488,-1,605597,-1,902022,-1,436559,883083,-1,214044,978135,910599,-1,-1,849206,815544,-1,-1,672476,-1,992209,-1,-1,425937,183837,-1,345309,465593,-1,554312,327625,-1,96085,-1,938672,-1,240235,390745,-1,374364,83423,939565,763557,-1,715783,721886,688903,-1,-1,-1,-1,-1,-1,474098,110519,-1,529607,74951,243222,-1,767688,973825,-1,-1,40033,395726,320266,202744,719654,46520,-1,-1,-1,-1,-1,815577,386941,-1,203646,370042,-1,-1,-1,-1,-1,232642,852750,881161,-1,4861,543453,45870,-1,256722,-1,-1,-1,-1,449399,-1,639120,-1,734725,81060,-1,205505,594989,604917,294655,327415,-1,-1,945069,860562,-1,43076,-1,948476,-1,37717,-1,106980,-1,-1,78839,-1,-1,-1,-1,456262,777678,-1,-1,668756,277379,-1,-1,61998,-1,-1,-1,275777,702117,964880,779015,-1,-1,-1,-1,-1,-1,558422,-1,145303,-1,569242,60907,517431,206138,42368,92946,245772,-1,953407,728157,-1,891289,-1,864689,135344,-1,961817,-1,72205,-1,379957,209344,-1,659346,198955,472558,11899,645200,-1,539098,-1,762306,298981,-1,-1,830807,-1,429211,-1,-1,-1,426104,-1,-1,-1,894967,-1,956946,496974,378154,-1,1903,-1,472893,884899,704683,898627,453150,130874,-1,-1,-1,550979,376366,-1,-1,897414,429270,-1,-1,-1,-1,759463,897429,-1,4162,400808,210442,29338,-1,-1,-1,-1,-1,992307,-1,344170,452222,-1,216716,5877,800614,376317,-1,-1,-1,-1,-1,-1,527060,396576,395625,-1,-1,-1,266872,-1,-1,-1,-1,287860,-1,866490,-1,861958,-1,-1,-1,-1,-1,-1,1576,133457,-1,-1,-1,-1,934271,565892,-1,614436,-1,469397,488703,431375,-1,-1,49481,-1,-1,910389,-1,603468,-1,-1,245855,49796,-1,675004,686794,776230,-1,949776,-1,91052,879678,-1,-1,698475,701540,-1,-1,109000,632441,473143,-1,-1,894439,303161,754399,757417,211906,259051,751628,-1,-1,-1,-1,979081,-1,-1,858149,821337,687582,331456,236145,860685,-1,-1,-1,-1,908116,-1,581234,-1,-1,519504,-1,-1,-1,-1,-1,-1,-1,580519,158561,80607,121962,-1,991889,-1,61921,628577,231284,187817,-1,-1,672369,-1,-1,-1,-1,885388,-1,710060,242017,183789,654696,-1,554011,-1,90648,193268,-1,-1,-1,-1,471921,199341,-1,-1,-1,-1,-1,-1,989061,-1,-1,-1,966664,-1,-1,843712,-1,-1,801227,-1,-1,322710,846998,-1,140586,451613,685954,-1,-1,742356,-1,-1,-1,-1,-1,-1,-1,-1,52616,945071,416086,-1,-1,733544,669291,-1,-1,-1,531298,618064,755038,16663,-1,365699,-1,643698,-1,-1,-1,145296,526522,-1,566557,898379,-1,267857,-1,-1,-1,772341,144792,810194,305031,112392,-1,-1,499309,526307,580652,-1,441349,-1,-1,748234,943700,710827,602684,-1,-1,544607,-1,-1,-1,22926,461905,624525,467076,-1,-1,-1,167332,159188,-1,136120,574139,88713,-1,632023,742754,964049,-1,-1,215932,-1,878781,29199,843246,662906,-1,-1,914405,-1,-1,-1,789838,699071,-1,-1,352309,-1,535758,763040,-1,-1,-1,-1,-1,379924,-1,-1,353534,-1,-1,304254,133974,-1,704476,-1,389334,406858,416138,-1,74256,-1,-1,-1,-1,139849,-1,123976,-1,902922,773628,-1,126081,-1,251727,58451,533995,-1,591993,-1,251330,-1,-1,47160,253944,-1,-1,-1,-1,-1,-1,-1,-1,877234,-1,-1,-1,959310,-1,982004,-1,-1,676831,-1,540964,-1,83380,448161,41018,853609,336032,-1,529672,-1,-1,19480,427904,124588,-1,461309,858350,-1,774390,-1,370809,541145,-1,856730,-1,-1,956346,678832,432970,-1,486204,592695,926693,-1,564808,90384,657272,366762,-1,871648,-1,-1,663519,74983,529794,274188,680743,353776,739279,-1,858614,641318,648968,408466,-1,-1,498725,862528,-1,-1,-1,909613,623841,-1,-1,-1,-1,399470,828430,390798,246660,-1,531904,837090,570504,-1,386502,-1,-1,-1,-1,-1,248770,-1,-1,681397,87461,-1,-1,739808,-1,71805,-1,-1,-1,756323,384727,-1,808646,-1,440935,-1,569231,-1,-1,-1,974085,524811,-1,170749,-1,-1,-1,-1,-1,9019,-1,494322,709521,674950,489769,800606,-1,-1,-1,-1,605432,-1,681491,497116,-1,626206,-1,-1,421051,-1,-1,116012,646864,451912,-1,-1,-1,786915,617870,353532,582699,-1,-1,712062,-1,-1,555885,-1,-1,-1,88390,762739,-1,-1,-1,-1,-1,-1,751976,98103,-1,-1,864829,-1,874565,-1,394978,-1,-1,527376,-1,-1,286927,-1,277371,590655,112240,396452,948381,-1,283468,171953,-1,-1,-1,742928,708924,-1,883870,-1,631366,-1,167139,216175,169372,-1,-1,891095,744126,-1,909575,359776,-1,292570,-1,423417,-1,608903,10049,979281,495236,662692,293864,215885,818973,681825,424982,333470,755286,-1,-1,350558,-1,-1,375481,606750,-1,-1,-1,916344,-1,-1,228473,177858,-1,-1,732720,354198,516742,430844,280154,557017,320794,780807,885476,-1,559618,-1,26696,-1,-1,-1,-1,-1,-1,-1,-1,862124,175620,855301,-1,-1,-1,-1,-1,488305,941444,209240,-1,-1,-1,-1,-1,-1,950996,-1,-1,-1,244126,171803,-1,-1,-1,-1,-1,-1,-1,-1,-1,280698,898712,833510,666703,-1,-1,-1,805257,-1,183116,372934,-1,-1,810103,-1,-1,507662,525248,566025,-1,450024,-1,540831,-1,-1,-1,-1,907899,528342,-1,-1,714050,-1,426646,162614,812497,-1,-1,-1,-1,730311,629874,790340,330877,-1,-1,-1,268542,-1,859742,-1,-1,855561,16702,-1,-1,781941,572099,-1,192791,-1,-1,30238,861354,-1,-1,-1,-1,714418,513722,923097,-1,-1,290620,25740,-1,-1,40298,-1,-1,687802,-1,261011,-1,-1,-1,-1,-1,909249,365072,-1,486542,728798,342849,-1,20810,-1,-1,-1,326364,315661,-1,637947,-1,472491,-1,585014,-1,389638,-1,-1,-1,-1,-1,716234,745965,333423,-1,-1,312882,-1,-1,527260,-1,-1,975353,30182,614438,-1,501203,901200,-1,-1,360322,-1,-1,398828,204943,347156,-1,191468,-1,787258,-1,90227,-1,212169,-1,486725,948495,153176,560125,-1,-1,241194,-1,-1,-1,832600,-1,-1,-1,-1,794998,-1,548972,362893,-1,-1,254320,-1,-1,792065,-1,-1,420175,-1,-1,-1,793422,-1,-1,-1,547759,-1,-1,473436,-1,732080,-1,-1,884553,-1,-1,512267,-1,633768,-1,-1,-1,33082,-1,796082,16844,-1,575808,422125,873889,181457,19370,983615,739375,16731,733240,-1,-1,974544,344349,93470,-1,38418,-1,-1,294375,96751,-1,-1,-1,-1,187106,127789,-1,-1,-1,950450,-1,-1,-1,-1,-1,316645,-1,-1,790164,-1,890008,235348,458708,-1,-1,-1,-1,-1,-1,-1,326877,-1,220914,128590,-1,887706,869992,-1,452329,-1,-1,150523,-1,92246,355105,999147,522548,-1,-1,-1,693315,-1,4007,874943,-1,-1,869542,220560,-1,-1,909793,261355,-1,-1,229153,-1,114046,-1,729755,-1,205794,-1,710958,-1,82234,-1,-1,826988,323810,-1,629819,-1,165419,-1,-1,848498,-1,546179,118060,629128,937200,3230,-1,529637,711006,225900,850468,-1,-1,-1,-1,-1,-1,996565,527635,490380,928550,-1,494866,640927,-1,636202,187864,-1,960034,557709,-1,210265,-1,-1,-1,531628,-1,-1,-1,714744,499386,-1,965723,-1,553306,-1,638013,-1,509828,-1,87527,540816,784229,736082,-1,-1,3241,-1,541568,679918,-1,510066,-1,-1,-1,-1,203934,-1,970667,355296,-1,-1,-1,704878,809102,-1,427049,190656,-1,-1,351160,514596,-1,-1,260590,678606,-1,830085,-1,582047,-1,-1,974466,-1,-1,-1,734734,-1,716817,-1,-1,-1,722501,340323,565052,783421,-1,635000,-1,444480,-1,124433,239647,745317,-1,-1,70831,487771,883440,875028,-1,799909,389305,-1,-1,981835,672629,-1,-1,803839,892704,-1,309826,-1,508721,933366,899714,-1,-1,414326,-1,964358,-1,887453,-1,-1,-1,192204,99549,411454,303867,205629,-1,561683,204360,651458,721097,-1,507836,-1,-1,718741,196292,-1,874073,735232,-1,-1,-1,133201,930158,-1,117855,119595,-1,346501,-1,165040,501305,837475,-1,8916,961374,41163,-1,-1,-1,-1,-1,-1,-1,925597,150532,839188,782153,883588,138623,-1,950618,-1,-1,145940,-1,842713,814093,-1,892178,893286,856746,354294,821911,-1,-1,-1,-1,-1,-1,16004,-1,-1,740674,770224,-1,624903,416109,210511,785401,-1,45561,183949,533693,-1,-1,11610,-1,419619,-1,-1,35979,-1,871100,-1,-1,-1,758118,-1,-1,-1,590100,-1,150049,-1,751414,-1,-1,931660,-1,314804,268845,-1,-1,-1,244717,-1,37810,-1,724839,233595,109195,800516,447580,921994,315670,812521,194722,-1,208827,-1,-1,819212,-1,-1,767023,-1,-1,985151,-1,598286,638218,824216,-1,694241,-1,-1,830813,-1,443703,777000,-1,240390,943135,61300,894671,20313,645125,-1,-1,507343,-1,766851,-1,-1,-1,141447,262318,859869,717764,127067,878345,-1,526571,238110,-1,495266,-1,-1,-1,811444,119279,113334,364163,587103,481971,-1,-1,-1,961915,-1,-1,382193,-1,838717,-1,-1,-1,-1,-1,259476,-1,-1,-1,-1,705255,-1,429010,-1,807746,974435,-1,914298,-1,676436,571045,-1,-1,532971,859760,425698,-1,-1,-1,-1,-1,242469,36709,-1,-1,-1,451642,100627,423185,619264,652023,661648,-1,853594,455701,246927,471844,-1,950173,969722,155028,418743,401334,-1,997137,-1,-1,-1,341554,-1,-1,-1,-1,-1,849755,615749,-1,388720,570671,798909,-1,633458,511886,129978,296172,405952,117861,322486,-1,689638,-1,-1,935084,-1,225720,97801,-1,563705,-1,463834,49258,-1,641011,121832,261756,-1,503082,-1,-1,-1,14360,82213,197421,987402,-1,187434,-1,499256,518442,-1,-1,464357,939615,158012,-1,776095,970559,-1,378686,-1,744412,-1,175783,-1,-1,452265,-1,-1,-1,-1,929749,601125,431365,-1,-1,167711,-1,-1,-1,-1,-1,764039,-1,-1,-1,266222,203073,-1,471835,321247,668437,-1,614152,873204,-1,-1,-1,-1,490128,-1,-1,-1,530544,76935,293423,-1,-1,994259,93955,523051,49743,-1,394301,420423,128142,540922,536509,677928,191527,337997,385233,17410,-1,3154,276934,178497,-1,-1,-1,-1,-1,-1,782783,852047,217817,-1,-1,-1,783630,-1,-1,-1,172785,580819,267064,-1,993207,-1,492760,478124,607536,482195,-1,-1,-1,159628,-1,-1,767190,-1,698764,195850,305167,-1,816577,414568,-1,363095,-1,95719,-1,271826,-1,-1,-1,-1,-1,99527,440725,561194,533559,999080,-1,31812,-1,77164,637363,759863,277071,296869,552056,-1,-1,420067,912847,-1,34981,281788,486839,590268,-1,-1,-1,-1,21029,135856,-1,-1,-1,-1,-1,-1,618430,-1,555983,-1,-1,238798,457210,-1,-1,709909,459156,563572,183912,-1,142625,710961,-1,-1,994706,-1,-1,948161,725034,-1,-1,-1,-1,-1,-1,-1,79020,-1,306938,803391,179237,395317,-1,884219,918017,-1,551601,998421,551094,-1,-1,490969,23418,605863,399887,-1,-1,147394,-1,839274,-1,854902,-1,-1,913679,885488,834878,-1,-1,195372,864697,444064,505648,-1,-1,-1,119615,-1,-1,955737,-1,-1,65617,238101,86635,-1,-1,291162,-1,346266,-1,-1,81274,368492,449410,223003,-1,-1,-1,908580,461906,912410,861908,-1,292291,-1,-1,-1,-1,158469,-1,-1,-1,-1,948238,-1,-1,-1,199366,760613,-1,-1,-1,815340,303115,-1,-1,-1,-1,44892,446306,-1,-1,-1,-1,504610,-1,21261,837108,-1,-1,465433,-1,-1,-1,858953,-1,452175,242056,-1,249158,524667,270412,-1,-1,-1,-1,737439,-1,-1,104520,550080,-1,841614,-1,652242,140064,-1,766277,336468,-1,-1,370885,603264,-1,-1,-1,964035,183361,205188,-1,277962,52085,-1,-1,-1,-1,-1,-1,735071,522540,-1,-1,788143,188984,-1,691643,413340,83200,-1,-1,907829,573661,518874,683707,-1,317389,-1,916491,836587,636154,-1,415047,331202,807624,236946,-1,-1,-1,717905,-1,114548,-1,-1,602459,-1,531861,-1,-1,-1,-1,894792,482921,-1,-1,-1,925955,-1,806854,339004,-1,871531,835539,94069,-1,-1,860713,-1,657698,273742,257820,550572,213111,-1,401708,-1,626849,803855,-1,338646,637651,-1,153546,792014,-1,761682,657977,724780,-1,-1,631900,-1,243501,765126,-1,-1,727175,851212,-1,265988,502396,-1,70804,27456,-1,350459,-1,-1,849348,-1,-1,-1,-1,-1,260197,-1,579949,-1,-1,196898,-1,165039,-1,559878,90198,-1,-1,742687,-1,24427,-1,-1,371856,785634,218143,984628,126645,-1,-1,931591,180599,-1,340163,293022,-1,170642,993287,-1,-1,-1,-1,-1,-1,859692,410329,29530,-1,274645,-1,937210,-1,290792,-1,304377,990357,910494,589088,715300,-1,185756,825568,-1,95256,782545,938530,-1,-1,-1,484051,-1,-1,-1,-1,255913,281157,655517,-1,606982,-1,795614,297422,647545,397478,237351,-1,-1,161129,614994,554718,-1,125446,-1,-1,-1,186865,-1,882370,-1,-1,593766,-1,-1,-1,-1,772593,773707,-1,-1,-1,-1,188732,191080,168847,-1,161619,814496,-1,-1,-1,-1,-1,-1,-1,846778,974895,-1,-1,-1,786244,333546,-1,-1,526499,927093,-1,-1,523030,334299,240864,-1,460339,-1,840606,-1,185087,-1,226359,268640,469623,413970,-1,766097,220792,415223,300322,-1,267345,525484,638992,79548,-1,383812,549395,709761,-1,-1,493811,168695,-1,-1,-1,852208,-1,163206,-1,-1,-1,456642,552297,552472,587205,317666,80331,-1,607677,-1,897399,-1,36577,-1,-1,-1,583141,-1,627365,897993,21738,-1,68261,734939,983860,-1,-1,-1,840654,669136,-1,-1,-1,-1,-1,-1,843728,-1,-1,549512,-1,-1,-1,-1,-1,864834,-1,312787,407640,669830,78655,-1,408655,604102,-1,3260,-1,-1,830264,129120,-1,-1,-1,810828,-1,-1,342077,419716,-1,-1,292808,-1,-1,303152,945967,3126,-1,-1,603916,152969,137305,833308,-1,965285,-1,985884,-1,-1,-1,-1,-1,28846,-1,387158,-1,566593,-1,690595,-1,-1,-1,617531,671139,660678,878096,-1,-1,-1,-1,541058,-1,-1,457725,326827,332545,-1,789518,-1,389699,-1,-1,-1,-1,107502,-1,-1,-1,361081,939958,668566,733053,518307,-1,-1,-1,137814,187219,-1,-1,459901,907859,801717,28713,-1,-1,96102,-1,444095,705133,70337,38066,-1,942411,766584,-1,-1,-1,579334,158172,654755,253199,-1,-1,724044,602080,292035,-1,911497,89492,756283,990866,-1,-1,34692,596636,466419,-1,887059,-1,450283,-1,619083,544524,-1,244846,-1,-1,791437,16920,-1,275776,-1,777194,582508,3900,-1,458828,-1,-1,638090,857466,113397,-1,757099,492277,341702,43873,995199,822936,682901,-1,-1,-1,645137,789176,182528,509314,-1,921467,-1,-1,646267,375201,-1,-1,591567,431133,-1,866805,-1,-1,-1,605075,-1,-1,-1,-1,-1,602010,60823,64305,351338,-1,-1,-1,-1,525795,380840,660832,265204,-1,621515,167155,-1,382569,130561,736121,-1,-1,6152,456233,381460,-1,102547,10087,-1,-1,73878,664330,-1,212233,814580,-1,-1,338546,-1,762898,-1,858209,191779,456630,-1,-1,-1,17782,876883,633973,-1,-1,890985,650076,592141,-1,870964,-1,-1,-1,-1,-1,322898,-1,-1,229666,-1,573171,123345,-1,223858,-1,-1,918605,-1,716061,393492,952342,340845,412232,-1,-1,957269,213050,-1,-1,-1,900879,-1,-1,-1,733486,458692,317356,98078,-1,527010,606021,626158,-1,-1,975964,-1,916278,20745,-1,41769,-1,-1,40431,-1,-1,-1,815477,274640,-1,-1,536263,755126,934969,487530,-1,-1,-1,-1,-1,701251,-1,289379,332390,-1,-1,89783,-1,-1,928299,906598,458614,992329,-1,478244,800802,-1,-1,743612,826969,193302,37976,320435,-1,-1,392882,-1,242306,-1,791967,675721,-1,210869,538785,-1,968564,510341,916222,125665,287607,-1,-1,279322,-1,852189,751083,356475,-1,167629,407723,210731,950705,-1,15287,400987,152784,74771,-1,-1,46959,558985,-1,443699,-1,79721,365191,-1,593464,934413,229225,-1,-1,-1,753493,-1,92340,-1,15913,467874,-1,-1,862284,835867,-1,246026,-1,850879,-1,-1,-1,844731,276890,369015,-1,-1,-1,-1,-1,252641,-1,-1,81879,-1,217449,-1,251697,-1,-1,127726,628497,-1,-1,-1,-1,970270,-1,685330,194196,-1,765017,498452,326946,805361,-1,-1,-1,-1,-1,480935,34420,555115,955653,-1,573086,-1,-1,-1,-1,-1,15584,561113,-1,-1,659840,289926,869339,613996,-1,963635,-1,280233,40060,183375,538376,-1,834924,-1,127758,510342,-1,-1,736320,596924,-1,370121,687930,-1,970913,-1,-1,105754,-1,-1,629438,659236,890984,-1,123181,-1,925704,637465,-1,-1,-1,-1,-1,-1,958670,-1,-1,237362,-1,976934,-1,-1,900948,-1,-1,-1,673614,-1,461535,965454,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,581944,-1,-1,327916,-1,-1,-1,-1,-1,-1,17370,180589,707406,-1,-1,788413,219387,-1,-1,791002,-1,-1,-1,-1,379347,-1,447995,875874,790579,-1,-1,-1,811134,158069,-1,-1,844304,318418,-1,-1,222850,-1,-1,740372,-1,983802,796939,-1,448719,-1,834002,848043,-1,614821,886090,-1,-1,-1,969989,194614,-1,-1,189685,385352,436722,-1,151154,-1,537367,116825,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,990785,374355,120218,-1,404728,283907,-1,-1,-1,554345,-1,-1,-1,-1,384020,805785,-1,75561,36064,398398,-1,975029,795468,632587,-1,-1,828290,341631,223688,354248,631357,-1,83748,75207,-1,721541,-1,-1,-1,-1,-1,776856,591065,483924,207372,-1,315381,-1,-1,-1,-1,751306,888331,-1,262502,-1,-1,-1,-1,920031,-1,-1,-1,431714,-1,-1,-1,735532,774765,428125,-1,554140,294518,-1,302846,-1,-1,824527,-1,53355,-1,-1,-1,-1,-1,-1,793053,-1,-1,-1,873504,-1,-1,-1,761714,-1,73739,-1,-1,158307,-1,535535,978900,-1,18304,516741,876821,-1,-1,-1,855439,-1,101354,5270,-1,628896,-1,-1,-1,-1,813911,-1,699673,613729,-1,159452,-1,73532,-1,-1,-1,795807,832971,26261,-1,-1,-1,-1,-1,893450,179639,-1,784063,550571,-1,136019,-1,896457,-1,-1,692947,324394,-1,303818,267057,463277,688192,-1,-1,-1,491604,449814,856202,-1,-1,713323,920273,-1,-1,205046,-1,408388,924915,-1,327010,865302,233854,-1,628295,-1,-1,-1,-1,188691,876323,-1,-1,540621,-1,543129,-1,-1,-1,-1,391900,-1,431299,300798,340355,625004,47690,-1,725033,-1,-1,-1,235198,828900,137711,-1,469395,237033,268267,-1,114436,-1,890854,-1,-1,25566,329706,-1,930036,-1,-1,149854,16473,-1,-1,786906,-1,964798,-1,-1,168057,-1,434515,71067,-1,798863,666042,749243,-1,163279,-1,-1,200024,-1,-1,637978,432995,844010,-1,785142,-1,138417,-1,-1,-1,-1,278701,270496,479783,-1,-1,240941,630960,188770,415773,-1,-1,-1,140841,-1,-1,-1,-1,-1,-1,688576,-1,32151,509066,-1,827020,883349,628371,7516,846152,187895,-1,-1,452794,347345,-1,21113,-1,529451,155653,451226,385180,-1,999064,73214,164111,-1,-1,-1,345354,559587,865454,-1,22862,-1,120668,-1,-1,-1,-1,403161,-1,532506,-1,-1,-1,936541,127502,789269,604565,426398,-1,248465,652086,-1,-1,243147,-1,272851,-1,929283,229293,560101,20413,-1,-1,654873,977736,15753,866850,869024,752378,-1,157247,-1,-1,1358,792064,342630,460982,463968,892424,-1,419838,-1,-1,-1,217456,248488,622225,-1,822565,372414,-1,-1,127091,-1,35279,-1,-1,373128,-1,-1,-1,-1,461244,-1,-1,-1,843901,95331,-1,546508,495697,765089,-1,148760,174461,52636,20253,928163,-1,555911,-1,823002,-1,-1,66434,-1,291073,-1,173874,199017,830428,-1,-1,-1,109492,-1,-1,942639,-1,-1,874381,230935,-1,-1,-1,-1,855189,412470,-1,915792,312793,806220,616052,-1,-1,-1,-1,787392,252459,453951,-1,301808,-1,-1,-1,-1,452467,-1,-1,-1,705107,64294,606971,283714,-1,-1,-1,225941,892791,166151,-1,490574,-1,979511,-1,-1,-1,761733,88283,-1,-1,650622,181063,-1,104913,-1,-1,-1,-1,690215,-1,-1,578541,851576,-1,-1,-1,-1,-1,-1,148299,-1,344195,-1,30888,285193,-1,678097,695027,-1,-1,508162,-1,956804,771389,-1,495484,421311,684062,128635,402409,-1,592965,908822,241348,-1,309134,-1,-1,-1,649905,-1,300161,29605,-1,-1,-1,754589,-1,471255,-1,948007,-1,676568,949928,437362,937490,-1,-1,-1,-1,500011,331421,-1,289620,846053,781250,66093,-1,962659,-1,-1,490881,-1,848497,-1,-1,232387,-1,-1,-1,-1,952114,434239,-1,703520,142947,394461,-1,491336,-1,470153,-1,-1,729647,406480,-1,851407,946997,-1,354895,869950,806986,285915,-1,86847,-1,683695,-1,-1,564641,-1,-1,299257,-1,495349,917816,-1,-1,-1,405906,-1,950457,-1,418885,-1,104375,-1,-1,13408,270274,-1,-1,871145,398917,990290,90479,368838,-1,869709,926905,174800,655605,-1,-1,835876,-1,-1,886329,981851,-1,-1,-1,385900,-1,174491,585904,-1,694953,101832,-1,-1,-1,-1,-1,36678,-1,669823,598758,287904,934058,569305,-1,78889,701072,-1,-1,247616,-1,-1,495895,-1,567238,-1,-1,420225,581174,885372,-1,-1,339371,500190,799522,-1,-1,468206,-1,-1,157372,114211,-1,-1,739486,-1,611242,813882,814735,-1,-1,-1,948856,900562,-1,438753,14409,-1,-1,-1,652831,-1,-1,991812,438417,-1,486575,-1,230282,-1,126730,37915,151954,-1,-1,-1,126846,-1,897661,830028,-1,-1,203448,-1,336495,-1,216118,-1,629668,-1,-1,-1,-1,-1,-1,-1,649449,-1,-1,14547,-1,977096,-1,565060,747327,-1,871237,-1,-1,-1,915254,-1,-1,60034,122833,71699,-1,660577,-1,921369,750132,370384,719823,334410,-1,-1,-1,432996,773330,-1,-1,-1,-1,-1,-1,440583,871324,707391,242754,-1,-1,882894,424428,907618,9799,-1,-1,15330,88561,413143,-1,593596,847278,-1,196739,132253,-1,198500,218658,834992,59224,261487,69703,803177,386239,803198,248724,835599,642743,544352,-1,-1,859544,-1,387352,411493,943192,-1,577748,484893,-1,-1,822496,69739,-1,914157,-1,-1,969637,650103,-1,-1,360144,372560,-1,169400,-1,-1,-1,478590,200857,-1,544330,935022,664982,-1,-1,79157,233304,718586,-1,-1,-1,-1,603869,-1,-1,-1,411961,-1,-1,-1,-1,-1,504500,124481,-1,-1,876518,-1,57943,739061,647382,899168,-1,-1,872861,471903,-1,6991,-1,-1,-1,792500,824088,190178,-1,-1,355352,-1,931409,-1,717434,998517,142614,776206,460859,379898,449953,-1,164622,698285,995982,-1,881122,217844,587264,601446,-1,455305,-1,-1,288352,462260,-1,-1,677136,452908,-1,165945,-1,-1,512671,-1,954178,-1,-1,156662,177468,-1,-1,313097,-1,-1,-1,774444,-1,-1,80673,885400,-1,775131,13480,811358,-1,745825,-1,-1,900299,-1,-1,495312,-1,-1,830727,-1,-1,568711,362769,-1,-1,-1,-1,953807,191,-1,813197,96877,828711,-1,-1,-1,779044,-1,-1,951435,493344,-1,-1,-1,-1,228991,888793,-1,208192,-1,453538,-1,583952,-1,-1,823342,-1,625526,-1,672485,-1,-1,-1,-1,-1,-1,889374,-1,-1,634453,780579,-1,-1,328368,487310,-1,-1,161361,-1,-1,-1,520257,626054,-1,-1,-1,-1,663875,541624,191196,-1,-1,218237,-1,-1,-1,-1,335532,-1,-1,806596,-1,680766,551156,-1,-1,76718,-1,39968,784649,474209,485892,693428,589807,-1,83424,908727,9783,-1,672813,-1,538879,722388,-1,960474,-1,-1,569625,271398,205672,56200,884126,989914,-1,969953,745942,-1,-1,-1,-1,-1,-1,850578,-1,-1,-1,361068,279026,510348,-1,59401,-1,734677,-1,290943,662449,-1,-1,-1,-1,-1,774854,552394,-1,-1,806278,-1,766163,44693,588181,-1,-1,-1,-1,-1,-1,-1,-1,443734,152029,-1,917178,548563,128890,-1,-1,-1,186015,-1,685449,-1,762395,434994,688763,935467,29299,-1,-1,926407,-1,-1,467330,569944,-1,711508,422678,-1,-1,618706,-1,901118,-1,119386,267728,-1,-1,-1,404381,474274,-1,473619,963820,422550,488929,-1,-1,937765,428682,694730,-1,-1,-1,-1,-1,667823,-1,-1,542389,-1,-1,585058,411306,401656,-1,-1,-1,-1,23744,98551,494932,-1,-1,-1,946376,-1,65746,-1,758037,253352,645744,413736,161281,99504,-1,-1,-1,-1,698187,-1,990094,-1,959156,-1,375142,249292,920064,-1,-1,446867,76506,-1,783851,-1,782715,-1,-1,-1,-1,100332,-1,923755,-1,-1,186900,367325,18766,-1,-1,313976,-1,798310,-1,-1,643546,601715,-1,446894,508136,749693,623381,-1,565209,-1,13187,834517,-1,393202,-1,-1,573305,828138,-1,924147,-1,-1,-1,286884,-1,337227,764760,937056,-1,-1,-1,-1,152001,675206,-1,943305,-1,-1,527573,-1,571737,976087,926151,29713,355090,-1,172053,459134,199230,-1,75692,164285,-1,64495,-1,31376,-1,-1,-1,17806,8051,-1,261460,-1,-1,-1,634126,322751,627935,-1,-1,-1,-1,882826,-1,-1,425283,-1,289393,-1,706012,-1,963503,339059,121991,71855,426240,498996,-1,-1,704820,518081,-1,-1,362510,435502,83795,178547,-1,-1,-1,342152,-1,694787,295181,-1,-1,228005,707300,-1,-1,-1,-1,-1,291656,-1,141081,-1,-1,350709,-1,559397,-1,-1,-1,-1,-1,-1,713739,650308,63642,-1,-1,441007,563841,646806,-1,376975,840252,-1,-1,583723,-1,-1,385397,312545,640399,-1,642863,163615,-1,-1,257851,902760,590553,409231,-1,-1,-1,-1,312538,144227,-1,72558,-1,282363,868307,332660,-1,943258,-1,-1,-1,-1,-1,87902,-1,-1,-1,-1,-1,-1,-1,-1,59361,892851,183485,-1,517224,-1,-1,591115,-1,-1,435782,168055,-1,-1,388805,189292,-1,701234,-1,-1,765773,120673,968482,757969,926100,727403,-1,318912,-1,456030,201212,217562,-1,-1,-1,611722,948345,-1,-1,21613,307573,744082,-1,808132,-1,631738,432413,167755,-1,381117,550357,627243,-1,177780,901262,478522,683104,-1,-1,830459,870941,-1,76948,874777,-1,-1,-1,-1,-1,706067,-1,346561,526539,-1,-1,998901,193677,-1,-1,-1,-1,164993,-1,-1,982870,-1,-1,-1,-1,753639,-1,-1,-1,-1,866386,661540,-1,140482,-1,273316,262404,-1,-1,576356,-1,-1,446094,720937,-1,458815,740198,-1,-1,-1,-1,487947,-1,-1,570134,280826,920722,257432,370316,451319,71808,300056,805994,426203,85607,137730,-1,-1,112880,-1,-1,-1,-1,-1,419387,258650,-1,-1,-1,-1,903876,190523,-1,-1,-1,453977,966542,-1,-1,991939,-1,-1,630150,505053,-1,165832,-1,578792,-1,-1,-1,872495,-1,-1,924050,-1,256943,-1,-1,-1,167152,625936,-1,235483,-1,340994,-1,811146,-1,866889,769067,610734,964465,-1,-1,-1,236384,471117,-1,-1,-1,734457,350801,-1,-1,-1,-1,-1,100204,45806,914979,-1,44785,-1,-1,695910,-1,6981,425062,-1,-1,132316,368505,-1,360618,-1,433560,-1,-1,710511,-1,-1,717717,-1,232075,-1,-1,-1,376931,699402,-1,-1,-1,-1,-1,-1,724450,338685,-1,-1,-1,-1,-1,-1,-1,544527,-1,-1,-1,-1,-1,-1,937988,366346,-1,-1,-1,-1,-1,456753,-1,-1,-1,292814,449880,-1,-1,728537,-1,439322,-1,702397,-1,-1,94113,755848,-1,-1,-1,-1,664592,876816,823333,439537,-1,498651,-1,514231,831387,668453,-1,-1,582570,585530,-1,635273,358921,-1,-1,-1,901053,-1,753449,571693,-1,-1,36652,586745,154762,-1,946372,776519,327551,-1,963567,-1,824413,-1,300110,-1,541047,-1,224344,305102,-1,950294,443188,192658,770745,850875,-1,751029,37801,-1,-1,162407,-1,-1,764589,965562,-1,-1,-1,85660,-1,-1,913464,385342,471908,342749,-1,-1,-1,-1,-1,-1,-1,-1,516418,-1,-1,-1,-1,324020,-1,420092,897398,759968,410994,-1,906823,91592,-1,-1,-1,-1,445729,-1,743176,-1,992540,-1,431067,625870,719126,-1,926456,843561,-1,780848,-1,707223,-1,788466,-1,-1,-1,686449,546136,682661,174309,-1,789354,676352,907301,596024,454395,-1,899931,-1,342950,39230,665514,-1,-1,823888,594415,-1,-1,800211,-1,-1,125334,440364,-1,600416,479075,55105,699203,-1,-1,104231,-1,330106,-1,-1,-1,676511,-1,863811,-1,137812,707829,-1,-1,79294,340083,-1,780982,-1,-1,-1,-1,337635,923988,897046,-1,-1,731688,557391,-1,-1,-1,-1,-1,-1,243869,-1,-1,991009,-1,-1,-1,-1,870563,-1,-1,-1,-1,-1,-1,-1,917327,-1,-1,-1,245229,-1,-1,-1,-1,-1,624629,941935,-1,615191,-1,25634,-1,-1,-1,-1,301095,66029,96513,-1,224808,-1,150796,175125,155390,-1,284789,-1,352179,-1,304904,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,115155,870252,334086,67470,-1,-1,-1,31616,-1,858500,434494,931812,-1,-1,-1,-1,-1,359153,-1,-1,-1,-1,541394,279563,-1,-1,901016,-1,-1,405654,-1,949850,596163,-1,227296,-1,-1,686832,475173,-1,-1,463615,119480,946399,-1,-1,-1,-1,795126,54630,217317,-1,-1,176523,-1,875699,118715,-1,490548,680925,664978,-1,-1,-1,-1,707673,-1,-1,-1,472734,285188,-1,766671,-1,-1,175114,-1,-1,919420,-1,-1,-1,750729,-1,-1,641825,775865,-1,506098,760433,-1,716651,-1,476951,-1,809984,786346,48835,-1,-1,-1,377893,285283,566329,-1,-1,-1,-1,-1,-1,-1,476388,4804,590808,183922,975563,-1,-1,674845,582415,-1,-1,-1,629426,-1,-1,-1,-1,161005,-1,835491,118678,-1,-1,-1,-1,-1,291563,938433,1574,-1,-1,109200,-1,30863,-1,802411,-1,-1,-1,658825,764798,-1,-1,-1,-1,-1,860398,142530,961121,-1,-1,538536,764532,-1,943676,-1,-1,732755,547982,165519,-1,844676,-1,423422,392089,641595,-1,-1,154031,503957,646813,-1,-1,-1,149979,-1,-1,394727,65324,121523,10336,-1,-1,-1,380912,-1,-1,-1,375714,-1,275676,-1,-1,-1,403630,935658,-1,968783,670446,-1,-1,970962,484772,-1,213832,813790,-1,268832,636031,-1,709271,-1,84195,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,278772,-1,808274,704380,514543,-1,-1,-1,341540,517291,-1,725504,-1,312653,254205,168539,46014,263566,669612,736715,26859,-1,-1,-1,-1,673145,145962,626448,-1,-1,-1,667318,436240,333551,-1,-1,78344,264337,891500,925709,146781,-1,926498,-1,-1,805861,755847,920004,-1,872619,27804,-1,934182,292339,135645,366366,230418,3151,307887,300577,652990,239824,-1,-1,88913,-1,338112,-1,-1,279043,526397,649107,-1,835603,808248,610443,-1,-1,903064,381984,-1,-1,-1,-1,-1,794338,594202,-1,-1,541998,-1,-1,-1,-1,-1,-1,-1,983814,-1,477865,-1,668495,119497,-1,487895,340901,-1,-1,565464,380036,286655,118812,459684,-1,843365,-1,793495,-1,206828,-1,-1,823098,816300,-1,-1,41707,-1,-1,-1,842394,-1,-1,820966,65222,-1,-1,-1,-1,-1,950675,571512,-1,853637,761985,-1,767034,-1,668664,-1,-1,666376,-1,-1,285780,64355,-1,405768,502978,-1,702132,-1,-1,691808,528078,-1,348293,92342,-1,-1,-1,344879,-1,-1,-1,23827,-1,-1,613361,592548,395760,106631,-1,216385,-1,-1,524478,555416,-1,719487,539745,100591,669551,553622,618425,-1,264196,-1,384879,-1,12509,31599,-1,-1,450598,421785,261789,-1,-1,778595,-1,908161,594178,-1,-1,-1,483362,-1,682371,-1,344,419929,-1,-1,757254,-1,681339,629471,-1,-1,512175,-1,548659,-1,-1,-1,-1,-1,-1,278739,658549,175763,500146,423092,313440,502647,-1,-1,-1,675873,462187,-1,566291,-1,366237,-1,514551,-1,-1,226966,893641,-1,754285,634835,776116,-1,-1,-1,-1,-1,-1,915963,14760,-1,66418,-1,-1,808311,-1,233873,-1,-1,836897,-1,687023,-1,-1,155407,332738,553125,193111,-1,-1,-1,104054,730728,79611,-1,749491,-1,568621,-1,-1,-1,-1,677012,-1,-1,-1,-1,-1,5350,-1,816251,373665,-1,232897,-1,783783,-1,556265,662020,7974,-1,95168,-1,644241,348855,-1,-1,-1,264514,-1,-1,94573,-1,-1,207599,56899,-1,-1,580890,540767,418503,-1,-1,-1,601711,-1,-1,877147,354303,80686,571468,-1,-1,647497,-1,-1,-1,-1,428677,396027,327674,171274,326670,877822,-1,341354,-1,-1,473598,22556,-1,-1,475911,-1,-1,-1,-1,-1,-1,-1,491102,-1,-1,565227,440037,871946,718173,-1,-1,-1,-1,717143,-1,709346,612654,-1,269953,-1,-1,-1,868613,-1,-1,-1,-1,670833,741471,-1,116927,-1,893756,160383,496756,-1,290928,635611,-1,108024,934557,642026,419998,229121,-1,297240,-1,-1,248536,283232,443346,-1,590316,72484,-1,741385,267150,224635,246144,-1,189124,-1,-1,882632,855807,271784,-1,-1,-1,975399,169822,-1,-1,538123,-1,-1,-1,-1,790393,-1,-1,-1,-1,684969,-1,-1,-1,576526,-1,277522,-1,104874,-1,266111,261056,-1,-1,-1,-1,729728,792426,-1,56866,94472,417534,388194,635996,-1,-1,-1,962734,194406,-1,-1,-1,-1,-1,376648,-1,-1,-1,389986,500277,222541,-1,109931,663019,-1,-1,705111,-1,22173,-1,482263,601061,-1,-1,-1,-1,169045,147475,-1,-1,947737,-1,427409,-1,177363,437725,-1,634643,758363,171923,-1,158005,-1,-1,353686,385164,125478,-1,123936,472929,-1,120447,-1,95926,997428,122848,692435,-1,474207,-1,926349,-1,-1,993279,659395,301096,-1,69757,-1,-1,-1,-1,-1,-1,-1,446691,-1,657573,100093,817511,-1,970088,-1,504483,-1,-1,809358,463835,472973,-1,-1,237111,381616,299285,665738,-1,-1,-1,-1,-1,853977,495105,22028,317633,-1,237057,-1,332772,118357,280294,40976,515388,-1,-1,671636,121829,994528,-1,-1,-1,607348,-1,830836,609639,358607,177292,-1,-1,30941,-1,810691,443251,-1,-1,637762,-1,-1,-1,804600,816256,-1,-1,-1,-1,-1,-1,632062,-1,-1,-1,-1,-1,758998,-1,-1,-1,-1,-1,8310,299972,-1,-1,-1,55560,815778,763863,-1,528865,-1,-1,714769,417735,-1,-1,-1,-1,-1,-1,-1,327313,-1,559610,-1,241477,798720,-1,-1,-1,501923,-1,-1,353645,834483,238099,47315,113936,494279,591404,-1,863362,-1,-1,836922,3148,494085,158502,-1,-1,-1,-1,-1,-1,238614,-1,897831,-1,-1,198092,44238,-1,90984,-1,-1,-1,587873,36158,33451,476976,-1,-1,235571,391026,743347,-1,-1,305710,-1,513916,378128,-1,946400,852021,354940,-1,-1,-1,-1,-1,366173,83613,462160,262603,876934,635165,-1,-1,482167,482458,612179,-1,150264,78796,-1,460301,-1,-1,824800,-1,-1,-1,151530,-1,112337,-1,-1,487699,375696,-1,940317,-1,-1,192700,-1,687107,487087,879563,-1,581642,-1,682175,-1,-1,43295,-1,519471,622317,-1,-1,-1,-1,-1,-1,-1,-1,498500,-1,-1,-1,967574,-1,825344,-1,-1,-1,-1,588054,-1,504801,-1,-1,17694,361436,-1,-1,-1,-1,671350,-1,636035,610208,190628,401454,-1,800100,-1,-1,-1,-1,173386,528239,-1,509461,-1,-1,-1,703244,842417,-1,560537,-1,-1,-1,917696,28958,-1,-1,-1,845100,-1,-1,64640,918264,-1,-1,342199,-1,-1,285162,56222,49495,-1,263070,-1,630726,-1,-1,-1,454804,974262,-1,-1,19171,613139,-1,497832,-1,249471,488613,-1,1288,604185,-1,652635,-1,-1,-1,-1,-1,-1,992662,949510,609830,889837,579219,133579,594665,711812,-1,828490,366095,184925,36973,4700,-1,-1,-1,-1,711496,-1,-1,-1,-1,305294,-1,371162,-1,-1,-1,22812,221161,-1,-1,-1,-1,-1,-1,-1,-1,448355,-1,936789,-1,365626,-1,-1,878547,97749,559766,-1,-1,-1,-1,-1,-1,571310,26486,-1,587838,691378,845551,-1,-1,-1,-1,-1,-1,241474,-1,-1,-1,942203,-1,-1,272684,260076,491037,-1,465071,-1,47952,858192,417495,230308,445100,615892,-1,-1,-1,582223,794481,-1,941368,-1,133723,-1,689042,-1,-1,914275,-1,433089,576112,-1,-1,402956,-1,683447,632205,-1,533520,-1,813482,-1,-1,-1,641237,-1,-1,-1,-1,-1,615752,-1,498226,113995,-1,585539,-1,186292,697619,-1,-1,165759,-1,804215,869447,948324,294497,232110,563781,-1,603135,338365,-1,-1,-1,627090,-1,-1,314398,119544,545563,904384,601399,-1,-1,-1,-1,208277,-1,-1,59340,-1,-1,-1,-1,348414,566690,309529,821428,-1,-1,-1,108147,930811,-1,454622,-1,492386,-1,-1,726378,-1,-1,81852,276578,743504,-1,-1,726953,-1,-1,635566,-1,-1,940534,537674,-1,176054,-1,-1,-1,288138,-1,-1,607237,959205,645405,786874,-1,-1,994788,-1,-1,-1,-1,336121,959043,404888,847187,-1,574294,883711,121087,-1,-1,868475,843845,306032,-1,-1,-1,-1,-1,346714,8476,332195,679473,887487,-1,-1,849022,420492,103342,-1,86974,162339,-1,53038,-1,-1,-1,-1,516525,-1,-1,166860,-1,533108,-1,800413,-1,505528,168255,523716,-1,547705,-1,-1,290433,37364,-1,746161,165709,611336,704845,-1,990086,-1,567723,-1,-1,793231,862801,-1,-1,-1,-1,299410,371645,6847,406269,323227,211114,795563,-1,58366,-1,-1,-1,-1,-1,-1,-1,-1,162840,364078,-1,164663,654162,884769,-1,-1,6905,-1,-1,-1,679218,46689,566613,-1,-1,-1,-1,-1,923519,-1,65291,993260,-1,888600,-1,302000,-1,328841,-1,746808,-1,643454,-1,319543,192472,-1,-1,-1,571353,-1,-1,-1,254502,-1,607009,162403,803966,849168,748845,-1,198219,283092,-1,-1,345453,-1,-1,526973,67790,-1,-1,162958,-1,508061,57547,-1,-1,-1,442300,-1,-1,-1,-1,146204,-1,229597,-1,-1,492961,-1,307981,-1,-1,-1,942367,658276,421457,410561,-1,-1,296128,999921,-1,-1,-1,-1,-1,-1,-1,-1,511002,-1,-1,331784,105550,738724,689227,759390,351009,-1,899142,-1,798790,-1,-1,807197,654847,210692,-1,-1,854700,83911,551807,-1,829480,-1,-1,200863,-1,-1,-1,-1,700428,641927,-1,-1,747874,741544,-1,815524,-1,-1,902647,212790,-1,715714,-1,-1,703047,211367,712509,343258,-1,522645,-1,608424,793359,-1,647091,185257,-1,-1,437314,-1,-1,-1,-1,-1,10090,-1,433041,-1,351289,-1,-1,-1,770172,-1,634536,-1,893277,-1,342442,-1,922259,737313,-1,54854,452752,776399,-1,132540,850577,364429,-1,861763,-1,929817,226731,-1,-1,803103,781935,-1,-1,-1,771867,-1,-1,781193,-1,816655,51430,-1,-1,-1,10239,-1,16387,-1,501795,690782,380865,-1,57134,508811,389745,-1,-1,85622,6746,1516,451949,680330,-1,-1,-1,-1,-1,420394,-1,-1,309913,707537,907063,-1,15519,-1,-1,-1,-1,512476,-1,162059,-1,752659,317492,-1,-1,852742,684456,173005,150828,-1,115343,870459,366825,-1,562264,277961,-1,993437,240138,189344,946796,-1,440282,517690,392673,660906,814620,261538,521199,-1,-1,-1,83677,56900,884550,-1,-1,-1,530915,533079,656096,690466,192945,-1,-1,680734,759250,716856,209007,410183,-1,-1,-1,874687,366395,724369,-1,100383,-1,-1,-1,-1,-1,-1,-1,118261,976519,310981,-1,653384,312670,-1,-1,-1,-1,61819,156942,-1,40607,153776,-1,400261,326333,269493,-1,-1,-1,277912,-1,534432,71570,-1,720300,779267,-1,-1,954825,-1,355253,-1,-1,556468,184083,851449,318042,551135,134857,129479,-1,447166,-1,701466,804027,-1,-1,500113,191720,-1,67131,630910,825948,-1,595531,124256,-1,837524,87692,66475,847776,-1,-1,-1,-1,-1,-1,-1,785871,-1,-1,-1,-1,-1,523034,-1,331644,994214,967942,232522,-1,232077,623217,-1,-1,-1,91442,-1,914465,644043,138235,-1,293609,933372,523149,941741,-1,-1,-1,475702,837605,-1,542390,396801,-1,284394,-1,-1,-1,-1,577657,-1,225037,56841,-1,300620,698232,402313,-1,383365,-1,-1,-1,815240,206486,789791,-1,677393,244007,795707,-1,-1,-1,527271,-1,875513,-1,113151,-1,589385,-1,105250,423531,381844,665126,-1,-1,-1,141435,385620,45737,222493,-1,-1,264651,-1,788025,916602,-1,892642,643812,202405,-1,-1,724651,238266,-1,857943,-1,148491,-1,-1,607911,82041,-1,-1,501523,704874,265383,-1,-1,-1,686008,-1,667078,-1,-1,-1,-1,-1,764412,900181,-1,837947,663222,897312,876966,761001,-1,318367,-1,802415,191770,-1,-1,634070,-1,-1,-1,-1,484777,-1,662730,496675,715141,-1,-1,-1,120385,-1,307604,432117,-1,-1,664753,-1,304655,-1,-1,64473,-1,120492,-1,469730,-1,-1,-1,-1,-1,842863,796668,-1,147598,-1,286633,-1,207075,372290,141012,-1,-1,-1,-1,719207,-1,-1,587130,-1,-1,-1,111030,710516,719406,473201,-1,-1,328315,811819,58532,-1,-1,-1,-1,-1,74023,-1,-1,-1,-1,-1,719371,-1,114236,531797,816650,-1,70839,-1,-1,846913,-1,-1,-1,173015,626737,332332,-1,-1,316789,-1,383018,903189,104377,689392,884086,458938,-1,-1,133742,958251,970828,404159,631036,-1,-1,170416,-1,795894,988085,-1,427616,-1,660353,-1,551299,-1,26792,838891,367695,858615,823606,-1,830693,-1,-1,229451,-1,-1,-1,-1,-1,-1,-1,312163,517358,972775,-1,17985,-1,502440,-1,-1,-1,-1,28447,544328,-1,-1,-1,417958,69000,-1,-1,627577,-1,597764,708402,71337,-1,350333,408652,303243,794686,-1,-1,438796,-1,-1,406672,-1,-1,-1,-1,-1,-1,427369,-1,322179,740631,-1,718008,-1,-1,-1,96359,313284,703031,88555,775822,-1,493935,926640,782656,-1,-1,936893,186568,-1,799834,-1,360822,-1,-1,-1,357716,54785,-1,-1,-1,-1,297443,-1,-1,-1,-1,55975,-1,68090,872272,404710,534609,147916,947419,425269,-1,926494,92335,-1,-1,-1,773741,778490,973044,259963,831136,-1,250937,-1,-1,-1,-1,-1,-1,21167,-1,457886,529014,699176,431267,-1,-1,707311,-1,-1,-1,-1,-1,-1,802703,-1,-1,-1,447281,535175,785440,-1,162000,261260,-1,-1,-1,-1,173564,-1,579352,-1,308968,936446,209985,50131,-1,-1,8387,-1,-1,-1,-1,-1,228091,907414,43606,769517,947823,643408,-1,-1,719379,-1,-1,185091,959333,-1,471304,-1,-1,417966,-1,373641,219074,889548,-1,-1,-1,83165,-1,-1,6885,-1,-1,-1,-1,-1,530628,-1,-1,-1,-1,419246,-1,962385,955206,501081,340789,-1,-1,173372,792607,281,268932,-1,587437,962367,-1,-1,894449,-1,-1,716341,818064,619390,38362,-1,99824,-1,-1,-1,-1,974094,665048,-1,-1,-1,-1,-1,658393,137093,860368,-1,427330,-1,66626,-1,875358,55624,-1,-1,376185,389872,-1,-1,14812,-1,-1,592391,-1,270189,-1,-1,-1,438960,535785,-1,470276,-1,91295,-1,-1,-1,-1,862832,-1,-1,656910,905888,-1,143846,-1,344311,-1,-1,-1,-1,505583,766444,429355,-1,310642,-1,236215,71429,-1,-1,-1,-1,322070,246054,-1,558946,818754,573047,-1,994417,-1,-1,-1,-1,-1,-1,561812,29536,319038,-1,322311,704239,-1,-1,-1,868735,-1,-1,719709,999353,366860,-1,193598,515781,520934,-1,97382,240638,653097,515552,-1,-1,753755,41508,-1,-1,-1,-1,-1,235144,-1,-1,316500,-1,-1,-1,877823,-1,73838,-1,-1,-1,-1,-1,608195,-1,399682,-1,860741,-1,-1,-1,-1,931391,738607,-1,367535,906104,971024,44253,-1,688676,-1,242141,120878,-1,-1,-1,639834,-1,474872,502009,184116,243598,903910,-1,374456,537144,925410,-1,14028,-1,686981,475607,-1,995935,483079,184248,404613,920992,551333,-1,719580,-1,-1,-1,-1,832730,357946,-1,-1,-1,812822,787557,-1,-1,886307,-1,-1,-1,-1,646187,99079,-1,312930,-1,-1,409194,-1,-1,-1,446288,-1,-1,800138,704908,57252,-1,-1,736055,-1,603602,200371,-1,306954,55923,143428,132025,764432,-1,956454,-1,323432,-1,586012,951821,852123,-1,252773,-1,-1,157159,438374,939216,-1,744732,513019,-1,860347,556681,-1,270078,-1,190149,100085,281877,-1,-1,600178,-1,130570,552994,-1,367045,930941,578721,-1,-1,26448,-1,-1,-1,-1,721094,-1,736637,488450,133217,242916,57054,663932,190131,-1,-1,-1,-1,-1,199764,-1,612579,-1,785356,-1,305881,204893,-1,-1,309118,565062,-1,613454,811842,-1,881692,-1,-1,776402,222233,-1,-1,656630,887913,369976,-1,164207,-1,-1,-1,-1,-1,-1,-1,-1,853598,-1,-1,849126,252822,229873,-1,710496,537688,-1,-1,734274,602696,-1,579594,848934,-1,-1,-1,-1,-1,139717,-1,-1,190957,583051,952072,-1,267406,-1,-1,450851,-1,-1,-1,481406,-1,615002,367382,762307,350670,932577,994659,474532,-1,-1,704566,103594,87560,23750,-1,-1,344572,-1,-1,-1,-1,-1,790800,70415,761351,153685,-1,731585,401182,-1,-1,-1,-1,-1,3405,-1,-1,35741,-1,-1,-1,309540,754799,-1,-1,87169,81121,-1,787614,-1,123611,-1,974676,882839,937663,366392,171056,3347,442419,706522,-1,-1,-1,201374,-1,-1,466040,-1,534612,-1,-1,-1,-1,-1,544148,561269,-1,-1,-1,420196,221433,640907,-1,920543,721672,-1,-1,-1,179867,726020,817731,422615,-1,-1,923935,515342,249564,-1,210577,-1,144652,-1,-1,-1,-1,134158,-1,-1,463019,24388,181671,690573,-1,380914,-1,-1,-1,-1,200560,-1,-1,210172,-1,517070,-1,322472,-1,495562,-1,-1,-1,188972,-1,420077,387844,245180,470017,-1,-1,-1,515633,789972,-1,-1,-1,-1,-1,-1,891882,257142,-1,7174,-1,289023,-1,-1,-1,236978,677745,599509,103282,-1,-1,-1,929537,150032,44827,-1,109178,876639,404891,-1,988298,489813,284055,260123,-1,903827,-1,640062,-1,299744,82931,-1,828981,-1,-1,-1,819993,-1,75407,-1,508037,-1,635047,-1,-1,-1,728418,-1,896434,-1,979371,-1,462173,87889,-1,622622,909270,-1,793237,339487,-1,-1,5069,268480,912901,307487,-1,-1,375754,688165,497499,-1,238761,54699,-1,-1,377541,-1,-1,-1,370796,272934,960456,828828,268293,290137,364921,-1,-1,141925,737280,-1,579977,580700,78474,-1,972410,-1,-1,-1,-1,525472,-1,499951,240228,295645,-1,843995,742373,873337,-1,-1,503159,607427,19716,-1,-1,469845,412078,442928,36702,-1,-1,-1,862358,-1,77215,695686,904991,253457,439358,-1,801279,-1,408941,-1,855540,192666,31017,-1,-1,-1,-1,146312,387987,828703,679399,-1,-1,241932,-1,889731,85574,-1,108596,-1,549249,872665,-1,-1,-1,522392,603552,312136,87886,-1,-1,277415,560485,651216,-1,427762,198517,525827,23504,-1,-1,376359,-1,312451,812991,922553,-1,-1,470765,647153,-1,-1,-1,-1,979632,-1,-1,-1,136570,-1,159193,44073,-1,-1,820360,461564,-1,-1,-1,-1,-1,-1,447156,-1,770857,630697,380893,974169,762072,-1,401352,390793,101649,195453,-1,-1,-1,191830,423408,-1,283200,-1,-1,684407,-1,826380,818665,574332,149005,245891,-1,959582,101496,-1,568802,889985,946742,-1,715386,887490,-1,-1,535518,488174,-1,991362,501666,-1,436260,-1,-1,917794,947541,-1,959541,-1,247263,-1,119048,908,583374,515623,-1,-1,962505,-1,-1,686685,-1,374840,-1,972300,-1,-1,-1,84709,-1,-1,-1,-1,800223,406289,-1,992014,831557,997736,-1,-1,735825,-1,-1,-1,-1,-1,570225,-1,438809,-1,741017,898777,-1,-1,-1,907010,-1,389771,185320,-1,966816,-1,-1,840936,688158,-1,-1,-1,-1,28560,605379,-1,558033,824259,466002,-1,-1,886975,765730,-1,-1,909364,-1,244429,903401,-1,-1,31135,-1,-1,-1,966704,677383,12490,-1,-1,520432,374574,-1,-1,-1,-1,-1,662271,-1,575657,-1,5137,-1,533224,852328,-1,-1,257395,59100,-1,-1,714471,-1,27297,931927,-1,-1,-1,258648,-1,169660,-1,-1,-1,-1,-1,148533,805157,-1,-1,365966,911239,-1,-1,368824,849361,-1,485764,-1,995928,-1,289175,-1,643584,-1,41660,69261,-1,-1,813341,-1,297807,547372,59131,-1,-1,-1,278679,-1,340205,-1,131154,-1,460298,549652,294424,482745,-1,-1,698684,476232,758139,-1,989636,-1,889687,115423,933141,-1,231746,-1,926994,408788,-1,-1,196638,489439,187765,-1,559146,-1,651061,254970,327356,861868,-1,273191,-1,9663,-1,486815,-1,-1,368457,-1,-1,-1,-1,319936,758782,-1,967400,-1,678122,740940,618193,536625,-1,-1,-1,-1,305792,-1,864422,-1,-1,283538,678754,943115,-1,582319,-1,500504,414182,-1,81220,-1,862355,-1,512928,938695,-1,-1,613696,108020,-1,415837,-1,-1,-1,502571,2912,816679,-1,-1,-1,909940,-1,-1,686725,383246,-1,285422,515588,-1,959863,-1,-1,-1,424388,262789,-1,-1,36404,-1,-1,-1,62733,723064,-1,676308,583565,-1,544429,-1,-1,-1,519362,-1,995406,-1,633815,-1,916866,-1,182782,-1,-1,352855,-1,-1,-1,702026,32044,-1,-1,211232,304020,-1,-1,142555,-1,-1,434306,939954,-1,-1,549193,-1,-1,778940,575044,72142,-1,-1,681514,-1,950763,404154,462232,776987,464550,-1,-1,509588,527922,-1,-1,67688,749801,489122,756207,-1,-1,-1,972826,507912,-1,962577,-1,244168,-1,-1,-1,-1,-1,-1,972241,677758,-1,334132,523746,-1,281765,89563,672473,-1,-1,817373,36641,-1,-1,329284,48185,-1,78826,-1,-1,-1,-1,-1,-1,-1,752974,-1,-1,-1,860566,879994,-1,-1,-1,-1,-1,-1,-1,134005,-1,162871,934625,709653,24076,91186,352596,929612,2660,79498,251450,940675,245424,336749,929120,119394,-1,-1,275704,-1,-1,-1,174450,248160,72695,285284,29934,142608,862453,233872,-1,-1,942094,-1,-1,-1,-1,85062,584398,-1,-1,504009,887523,-1,570592,313095,-1,83115,51370,-1,-1,376044,-1,170138,637710,794494,752138,45370,-1,715977,96030,-1,998206,-1,-1,-1,-1,673749,-1,36472,-1,-1,233860,-1,-1,359020,-1,-1,565264,924726,-1,-1,-1,455121,-1,-1,-1,768162,-1,-1,-1,892943,782378,416157,436151,46166,-1,179869,123993,391997,-1,-1,-1,-1,-1,-1,820865,-1,-1,-1,703883,-1,-1,978620,-1,176367,-1,352414,-1,235034,882969,-1,943012,928150,-1,459612,469907,1063,903133,-1,13225,84488,-1,-1,-1,-1,843341,191909,-1,826428,-1,575432,570850,-1,608373,879681,-1,722014,-1,-1,-1,-1,-1,-1,-1,-1,587129,-1,182555,-1,433398,636575,-1,736390,338752,199212,-1,125954,-1,-1,493204,810248,-1,-1,-1,461218,-1,661274,-1,46866,510893,-1,172037,911956,-1,907176,-1,191010,-1,-1,214731,-1,910695,936876,242050,-1,-1,-1,911082,824750,-1,-1,-1,66352,5777,-1,200538,-1,976730,576177,267669,-1,-1,446402,606762,-1,540885,-1,-1,598735,-1,-1,261434,-1,719672,298085,-1,364039,-1,-1,647418,-1,-1,-1,-1,416911,-1,183129,572643,787200,550963,272205,17052,351607,-1,269012,648309,-1,886492,711797,672948,-1,582921,501262,804685,130166,-1,-1,-1,605319,966827,-1,-1,697975,468468,353539,-1,156388,437577,737158,852780,-1,769513,46070,355960,-1,-1,518336,701415,-1,-1,761721,-1,-1,-1,-1,-1,-1,-1,32242,320549,767238,-1,248483,-1,252918,-1,257773,-1,-1,-1,-1,483612,-1,-1,-1,48936,854555,-1,353788,-1,-1,991486,842475,907689,-1,535841,-1,257434,-1,-1,-1,311563,548363,-1,-1,775237,119671,922036,-1,-1,-1,460630,-1,-1,214824,333076,-1,491153,-1,-1,-1,808623,119187,-1,820960,-1,46768,816732,-1,82638,-1,-1,458857,579982,-1,469276,-1,582770,555506,311900,735563,177220,-1,-1,506475,-1,-1,-1,291648,-1,283737,702345,-1,-1,-1,-1,765891,998144,-1,827557,-1,-1,-1,-1,552449,-1,-1,856030,-1,224775,-1,-1,579751,-1,840522,-1,-1,-1,-1,434570,-1,376674,-1,791287,512254,-1,-1,-1,618041,49000,-1,835706,-1,205564,-1,-1,934457,-1,-1,475788,361965,-1,-1,-1,-1,745305,968049,-1,-1,695544,-1,601048,-1,-1,-1,52206,-1,-1,-1,372305,795936,-1,74889,797951,792287,-1,902940,513871,556248,311489,-1,335300,618474,-1,-1,-1,-1,31245,35026,342436,556060,-1,-1,282685,-1,873007,524960,-1,-1,449720,-1,-1,-1,-1,-1,-1,-1,857842,107864,-1,-1,532919,-1,-1,-1,716938,-1,-1,16848,-1,-1,-1,585958,-1,346362,584982,401363,-1,653039,-1,390751,999465,-1,-1,738364,-1,-1,-1,-1,767123,-1,681101,950738,1469,728784,-1,393181,-1,345003,-1,-1,-1,-1,-1,108837,228375,175788,398844,-1,-1,180393,-1,78807,674231,-1,-1,803094,-1,-1,457795,-1,-1,831172,-1,971146,541104,-1,341650,842103,-1,333274,-1,649967,48929,94641,592947,57769,-1,892616,-1,-1,632989,76445,-1,-1,967076,-1,-1,425956,154936,-1,-1,430389,358387,746165,-1,883028,-1,-1,931586,245943,-1,805158,46047,306444,348263,-1,-1,-1,244466,635614,-1,655859,-1,28162,-1,810391,197974,-1,-1,793547,-1,890361,-1,-1,-1,131799,780274,-1,407838,-1,298098,-1,-1,172789,-1,795146,959735,54749,-1,-1,-1,-1,121454,-1,341338,-1,348811,-1,-1,-1,454440,76267,486798,-1,-1,86615,907076,365848,-1,165484,-1,344374,-1,263887,-1,592356,-1,-1,691293,-1,269370,-1,-1,-1,354951,-1,-1,229395,894523,-1,-1,-1,-1,-1,-1,-1,687664,-1,811719,856910,-1,22174,-1,622581,-1,-1,71226,-1,-1,-1,-1,-1,479869,83029,-1,974790,-1,34472,555004,-1,-1,678892,144303,-1,-1,-1,976022,-1,-1,-1,616853,710520,-1,68881,97794,926532,-1,-1,459630,-1,750537,-1,978090,-1,122683,895089,277346,-1,790084,-1,62156,-1,354330,-1,-1,410737,805022,-1,-1,-1,-1,-1,-1,57807,-1,-1,876867,613669,-1,553904,-1,-1,228294,107582,-1,-1,-1,47739,-1,383199,834940,-1,701851,-1,-1,896911,-1,-1,-1,203561,-1,-1,-1,321213,640639,-1,-1,774738,687162,-1,276514,618518,965756,264825,192014,848753,287139,312455,779431,-1,-1,756029,-1,171526,-1,-1,-1,158072,420813,217956,393163,434790,758499,-1,-1,-1,-1,36898,-1,397693,459831,-1,-1,283957,350104,-1,768722,-1,54911,366613,499321,884647,-1,-1,469609,-1,748422,-1,-1,-1,558252,-1,980451,290009,-1,313563,522865,777608,788000,508077,443145,237135,-1,-1,-1,-1,186920,-1,363293,971894,283443,853386,422502,-1,188193,-1,-1,-1,-1,-1,217335,841967,616135,-1,303431,233734,-1,828833,158606,-1,-1,139176,-1,-1,-1,468857,-1,801874,137020,30222,-1,-1,614601,-1,-1,-1,-1,10981,59771,-1,438100,-1,-1,-1,-1,-1,241736,-1,-1,848373,-1,330717,83051,298372,-1,42929,-1,276955,829436,586182,-1,643818,-1,50906,-1,-1,-1,234031,139809,987475,280443,382881,-1,606790,-1,-1,302644,843773,-1,850186,602907,-1,-1,31897,-1,25650,-1,-1,-1,-1,710059,351701,-1,382608,-1,208434,789828,-1,127775,719788,156405,-1,-1,410973,524669,-1,-1,294781,298308,909491,-1,200249,-1,727663,863282,-1,-1,-1,-1,985049,-1,-1,952141,682955,866368,-1,629824,590126,373071,83401,-1,554670,540691,-1,976724,367724,118325,90645,997069,116990,367477,-1,189627,81132,219490,719986,-1,-1,574122,621598,-1,773477,-1,-1,572667,482041,-1,-1,467317,-1,-1,-1,416670,476545,336912,-1,-1,-1,73981,-1,-1,-1,355415,-1,-1,-1,-1,473532,680132,983828,-1,-1,-1,228495,-1,-1,9353,-1,952935,934538,-1,-1,-1,-1,-1,783815,-1,87019,-1,109485,-1,721138,-1,709630,583765,556410,785462,-1,447955,925337,-1,-1,143564,456791,777580,984552,-1,608486,597526,-1,968561,-1,-1,247137,-1,-1,353309,190059,-1,-1,858994,-1,-1,67728,-1,-1,635335,590320,736996,-1,382723,-1,-1,792557,-1,246217,810974,-1,431928,566616,80516,-1,660159,-1,524062,-1,-1,-1,-1,-1,-1,770385,-1,123081,775366,915133,102412,-1,-1,-1,82700,831579,314290,-1,226446,-1,-1,-1,38484,32434,-1,563742,-1,-1,9756,230051,77565,-1,865051,693427,844606,901740,949364,-1,105184,-1,-1,-1,605212,-1,343671,-1,945368,261138,779397,-1,243096,-1,-1,-1,-1,17678,951850,-1,-1,-1,-1,539153,-1,187918,-1,58737,142485,-1,177081,875570,546361,-1,19905,630943,-1,538887,770215,266997,872491,805978,789699,85509,474510,540853,-1,111961,162617,-1,-1,-1,27626,-1,346135,75621,21777,-1,-1,-1,340896,450379,498083,55783,643218,526531,558108,-1,21888,-1,-1,27027,-1,750348,-1,856414,-1,678517,78933,406389,-1,536943,-1,974390,-1,474567,454826,-1,334617,-1,-1,-1,894202,-1,758821,974673,759331,-1,393998,-1,-1,451003,-1,766199,847673,-1,-1,205915,838448,924319,671832,-1,196086,-1,-1,860374,850168,-1,247391,-1,-1,-1,787506,812147,-1,-1,-1,-1,222780,67964,-1,-1,487397,286908,-1,542886,601189,861176,-1,-1,160959,403156,-1,868380,540316,-1,422588,-1,-1,-1,711573,843381,-1,468590,-1,757086,-1,-1,-1,141642,158246,-1,-1,-1,941287,-1,-1,-1,403810,687711,709971,-1,-1,-1,629806,678022,490885,463803,-1,-1,-1,281265,140888,927528,883747,-1,20235,585197,862569,483555,-1,163510,-1,-1,259368,-1,104371,-1,679877,-1,813334,21287,-1,458258,131618,186755,914271,-1,-1,-1,799713,27138,522389,186595,-1,-1,-1,-1,-1,70715,189993,541229,-1,-1,-1,710462,-1,-1,-1,16418,-1,-1,-1,-1,-1,-1,670034,472623,108722,265705,863736,266238,-1,608095,105385,-1,-1,-1,827826,-1,-1,249649,968165,254610,985720,127597,-1,128758,459057,-1,-1,333137,178026,872030,65049,681460,179130,675902,-1,-1,-1,-1,-1,-1,595712,444140,126104,-1,149447,-1,377202,347341,-1,314187,-1,714265,914155,-1,-1,-1,-1,-1,938245,-1,715173,388567,-1,-1,-1,-1,-1,728307,663714,8593,-1,944957,-1,5963,-1,37547,-1,585166,-1,-1,422384,950883,-1,-1,-1,774913,-1,-1,201632,834361,-1,-1,-1,562487,807840,136824,-1,-1,-1,845523,-1,161156,-1,-1,-1,-1,852064,-1,610820,129743,184740,-1,408467,122568,112760,331228,601679,-1,-1,849774,-1,346622,-1,-1,-1,242362,-1,425812,499978,-1,-1,730514,-1,967570,249583,-1,182863,348451,273169,234885,300033,-1,-1,-1,-1,-1,73967,565165,-1,-1,206587,-1,58073,-1,680795,308707,696669,247148,-1,-1,-1,672130,-1,600638,-1,-1,-1,-1,-1,289579,144968,992915,458549,-1,-1,136162,-1,364384,-1,-1,547054,372248,-1,-1,696025,-1,-1,832209,331651,159934,-1,680929,807736,-1,-1,445156,-1,654653,-1,157571,-1,-1,226220,-1,-1,-1,365268,638925,-1,345925,330653,704281,-1,-1,-1,903964,322518,-1,-1,-1,748951,-1,290156,-1,379078,336269,-1,284931,362551,-1,-1,-1,-1,-1,36838,-1,-1,763398,413601,-1,-1,-1,-1,810176,-1,173929,-1,990254,130807,607584,63679,760841,-1,-1,-1,823584,-1,851838,-1,-1,-1,377322,241021,486698,-1,-1,-1,-1,-1,532075,-1,174218,-1,-1,-1,-1,-1,-1,-1,289585,703604,-1,-1,-1,-1,924126,143858,599783,614247,492974,-1,591299,985572,-1,-1,512851,108041,-1,122487,-1,139262,-1,-1,164992,915861,-1,700350,579698,781327,-1,-1,28774,-1,372418,119645,-1,-1,-1,552390,338618,-1,890750,-1,492358,-1,51237,233922,720132,-1,-1,936815,-1,684706,862022,609845,-1,276423,-1,629737,291448,693811,310701,975624,-1,-1,605195,2628,674064,395809,366461,847531,598302,916646,728176,814411,969178,184601,934194,-1,248023,-1,762195,-1,-1,-1,-1,-1,-1,761034,-1,-1,-1,187917,-1,-1,-1,-1,-1,-1,-1,914343,-1,-1,-1,-1,568748,556909,-1,790438,942720,-1,315532,-1,958782,-1,822048,220268,282535,375152,-1,981425,309319,-1,282120,89873,-1,490655,412687,982232,427618,926793,257576,-1,340495,-1,641861,766092,326738,929266,134796,227115,-1,869795,24512,-1,-1,-1,381765,-1,-1,775804,-1,-1,-1,250836,750642,-1,143009,-1,90892,-1,252117,-1,841484,250252,875718,909555,-1,-1,984860,-1,225986,127418,-1,466088,-1,-1,140043,-1,-1,-1,26116,847307,329443,304000,-1,510828,-1,654426,727969,837385,180879,270974,-1,-1,42188,851289,-1,-1,6936,809515,441313,-1,705659,39546,-1,-1,524721,-1,305552,451935,-1,-1,-1,369895,353041,190804,-1,-1,-1,201242,-1,530437,-1,627477,-1,694251,834359,823850,-1,-1,47930,-1,57378,692302,-1,-1,-1,-1,314995,236184,-1,598404,-1,-1,754694,-1,585662,644157,-1,-1,-1,718435,882481,489926,-1,-1,75161,-1,-1,-1,-1,-1,287570,743299,933293,-1,211112,207849,-1,727178,-1,124714,108628,-1,399454,353809,-1,84961,636346,-1,790450,516730,-1,-1,973820,-1,714614,388881,-1,603791,-1,-1,996566,755888,-1,-1,-1,-1,-1,427236,-1,504797,615371,708682,-1,202091,982038,-1,-1,-1,-1,-1,161831,212947,-1,496830,163231,-1,86049,-1,20435,870015,-1,568715,990928,-1,563014,-1,5757,-1,614862,419935,114607,-1,897910,-1,-1,-1,335920,604972,605092,152044,923010,-1,-1,-1,291545,-1,-1,927431,778453,773315,-1,-1,-1,-1,-1,953739,890776,597474,684453,-1,653629,370760,-1,963671,-1,-1,-1,724329,-1,620104,-1,-1,285132,530387,691910,-1,-1,-1,500656,165316,-1,746679,-1,600522,346115,-1,-1,754244,105014,700224,447506,-1,-1,-1,541087,465828,255126,172744,-1,-1,-1,-1,-1,-1,-1,228185,-1,-1,-1,-1,-1,755823,-1,929839,367546,888390,-1,53696,816395,648817,89888,887504,-1,99356,-1,816045,-1,-1,480117,187635,-1,-1,687659,-1,-1,-1,-1,401108,603018,-1,-1,299239,-1,-1,-1,533001,384350,122043,705431,926241,223939,880135,-1,-1,78327,-1,908954,964481,-1,-1,493981,-1,-1,826235,923684,192873,-1,729848,-1,-1,-1,-1,904497,562249,2711,-1,-1,-1,282206,-1,420935,767619,-1,855721,740370,387089,-1,710683,-1,-1,204539,-1,-1,-1,-1,580430,-1,717611,-1,382253,-1,766835,-1,932894,558385,-1,-1,971503,974193,664232,-1,494954,-1,658608,999880,-1,-1,-1,-1,138895,-1,801900,293821,-1,-1,648273,-1,-1,218187,360851,-1,-1,-1,796444,-1,-1,-1,-1,704992,726712,49093,-1,-1,-1,619928,-1,875606,-1,154308,492967,-1,-1,-1,164327,368035,-1,-1,-1,913042,-1,-1,699758,-1,441679,174541,-1,268728,960652,-1,-1,-1,730370,892431,-1,553531,992177,-1,-1,-1,563126,-1,-1,239113,512027,-1,-1,699037,-1,-1,-1,788907,-1,-1,-1,-1,227792,753964,394041,650251,472407,-1,204021,331342,-1,882006,89470,733469,-1,340619,947933,-1,979362,-1,-1,-1,496062,870463,646908,-1,163942,-1,-1,-1,312817,678296,-1,-1,190853,814598,484611,-1,-1,814884,-1,455543,375913,461102,-1,812615,-1,-1,-1,-1,-1,217395,-1,277324,-1,382541,226357,829361,-1,-1,-1,451346,515515,-1,-1,-1,951632,734965,127888,300882,355227,-1,649283,107444,747878,505740,268843,-1,-1,290541,601346,-1,-1,978317,-1,-1,-1,-1,-1,843632,-1,958802,-1,838851,306684,-1,11564,-1,-1,-1,-1,-1,535932,-1,-1,515915,480442,-1,879715,-1,-1,-1,-1,183339,-1,794440,3373,654266,-1,752063,-1,-1,-1,-1,554994,131845,-1,924686,-1,471672,736428,-1,-1,345511,461221,-1,-1,-1,782785,802863,308009,-1,193105,342122,-1,-1,272610,206726,-1,473591,325483,-1,151434,855906,-1,588774,-1,-1,454850,-1,324507,-1,67130,-1,-1,961400,-1,-1,55822,805258,-1,187098,334401,168845,-1,977808,968833,-1,-1,-1,-1,471290,798270,933093,-1,-1,-1,792494,-1,-1,920871,851147,-1,796695,195582,-1,-1,751758,589093,471852,-1,-1,-1,-1,115720,854719,-1,-1,890731,-1,-1,947700,-1,893179,726758,367536,300028,-1,-1,-1,143429,-1,-1,-1,-1,523023,173031,-1,-1,-1,475502,70734,-1,-1,75386,-1,700716,-1,-1,-1,87936,690951,93353,-1,614305,-1,33968,77935,-1,-1,977182,-1,-1,476697,740187,730573,-1,730767,61143,191488,298931,806322,-1,341934,46784,-1,-1,-1,595990,18726,-1,943825,1658,973266,-1,972512,-1,166507,12196,-1,-1,600715,-1,-1,-1,-1,407018,510410,456722,-1,395977,-1,905232,-1,986696,-1,-1,802853,138216,622664,789899,-1,-1,758848,601363,628477,-1,443408,-1,69488,745074,659218,429839,308643,-1,549351,612913,302286,753521,447289,619509,-1,-1,-1,752161,-1,-1,-1,-1,-1,-1,269783,911410,849880,-1,-1,-1,581447,-1,357060,-1,956127,-1,-1,731919,-1,770761,827371,-1,627694,-1,527210,-1,-1,255501,-1,-1,164631,-1,337526,341861,-1,259485,862729,-1,-1,892102,712508,849675,-1,58964,-1,219226,671066,634135,835818,-1,-1,936278,922689,426314,855283,-1,-1,584407,-1,-1,211437,-1,-1,478674,-1,-1,-1,339071,863643,-1,-1,906408,-1,-1,189947,-1,716068,288383,811702,743873,-1,-1,-1,-1,517496,614201,751041,640240,-1,431021,730040,836862,768409,256072,-1,582866,-1,849185,183355,646068,428426,-1,-1,-1,-1,-1,814022,723203,338346,632805,-1,-1,893889,-1,498084,-1,700667,476704,-1,937493,-1,-1,869808,302180,-1,383877,-1,-1,-1,-1,-1,-1,-1,77398,993598,466265,957749,-1,-1,-1,567329,68604,-1,224872,-1,665610,-1,-1,600181,134872,180872,387036,-1,648061,619574,-1,189436,-1,878558,898776,918286,-1,-1,78857,-1,909974,-1,524861,484181,621942,-1,457842,796730,-1,-1,-1,-1,21150,-1,660658,-1,799395,-1,-1,542026,241500,-1,-1,-1,-1,763591,317298,-1,607104,950678,-1,827665,77219,-1,-1,622275,814425,875442,-1,-1,217418,-1,-1,-1,369713,493220,-1,625299,561083,804323,475672,463392,38481,525387,696118,-1,-1,-1,353611,-1,503621,-1,-1,412133,-1,637437,-1,-1,-1,-1,195900,33169,56615,993286,714619,-1,-1,608201,556823,243188,855597,-1,489778,843896,-1,-1,-1,-1,-1,-1,398031,-1,-1,602834,-1,-1,-1,-1,902912,-1,-1,-1,-1,-1,992740,-1,-1,-1,-1,501496,464838,-1,49557,-1,-1,487328,-1,-1,625117,840571,-1,-1,162242,-1,-1,-1,987731,102881,-1,-1,-1,769890,228031,249051,-1,-1,129246,247151,-1,-1,14226,526124,-1,894577,-1,-1,-1,939767,-1,215768,-1,588859,-1,-1,440245,48724,332433,-1,-1,-1,-1,-1,-1,-1,854002,-1,515854,-1,368534,-1,341762,976026,-1,-1,-1,157401,510742,557356,936937,949460,-1,337219,167690,-1,509060,640232,472462,-1,-1,356346,354684,537492,145391,-1,573227,498453,8397,110756,-1,681383,-1,913416,643519,954300,-1,576614,567833,769536,-1,457575,-1,491947,990807,82578,-1,-1,-1,-1,-1,-1,759787,-1,-1,-1,200627,429247,167416,100586,134438,-1,-1,-1,-1,956040,-1,-1,34851,839710,787113,-1,726220,746890,-1,-1,-1,-1,730926,-1,704,262206,344698,529094,-1,337051,-1,193652,48867,3271,-1,-1,-1,-1,-1,173791,428019,575061,-1,648849,-1,-1,-1,917717,26581,809402,-1,-1,87432,647694,897049,650434,414691,-1,-1,688466,587738,-1,-1,878996,170107,614542,-1,38000,688157,-1,898160,457538,11780,58350,887480,633433,166728,943723,898081,-1,509947,753097,613307,566366,595140,-1,-1,-1,-1,-1,-1,172218,887663,731542,702729,491638,919525,-1,691775,880065,593646,-1,701189,704451,-1,118504,-1,482414,-1,-1,-1,-1,-1,7798,625091,888982,-1,468363,-1,822825,-1,-1,654684,226629,665317,-1,287717,-1,-1,-1,-1,906760,-1,662491,851043,-1,-1,-1,-1,211616,412041,-1,-1,-1,912105,729169,-1,-1,-1,-1,-1,-1,-1,800910,-1,126451,873248,-1,-1,689120,-1,890555,111005,-1,236770,595517,679086,801120,493367,-1,-1,-1,-1,714443,793766,188788,-1,169253,686307,440387,327419,-1,906441,144457,310632,-1,417708,-1,-1,-1,741319,-1,834307,-1,-1,-1,-1,-1,-1,228788,847417,-1,-1,-1,-1,-1,-1,548232,-1,-1,-1,321874,-1,-1,522868,-1,680033,774785,-1,901570,546209,-1,986812,932437,-1,-1,-1,-1,183190,609329,-1,-1,718330,-1,-1,393287,-1,-1,257911,665706,610396,-1,-1,-1,-1,587595,-1,416416,677687,-1,240347,-1,-1,931587,792863,-1,122927,-1,4572,883403,-1,-1,426059,-1,-1,340250,-1,-1,-1,624599,280715,-1,218759,141053,-1,-1,-1,-1,510108,633591,827247,118709,13382,-1,-1,-1,-1,776859,608930,39426,-1,-1,750731,-1,570428,87077,-1,314180,-1,-1,-1,-1,301729,499434,-1,-1,-1,836552,-1,794938,-1,810443,776606,805912,276182,302117,-1,166672,197249,834236,350151,540003,883644,931864,526910,-1,56587,107692,-1,-1,-1,656273,-1,497943,46726,193510,282741,-1,-1,-1,875056,-1,-1,878018,-1,827119,847806,933225,580883,-1,779924,-1,308387,-1,860016,-1,532223,741830,-1,-1,662436,-1,-1,-1,-1,-1,488963,982185,11774,-1,-1,441594,945920,-1,247543,137779,-1,-1,-1,-1,737551,-1,-1,-1,823677,508025,-1,581840,-1,776480,-1,926681,-1,-1,-1,-1,-1,585017,621425,-1,197542,116131,-1,-1,-1,38046,684857,493478,611844,780074,-1,714824,971233,-1,-1,103989,-1,-1,-1,-1,-1,496202,341031,698861,-1,640092,-1,-1,-1,-1,-1,-1,682342,-1,867942,-1,-1,-1,-1,-1,922214,895809,-1,-1,-1,607288,-1,121322,203721,377937,283383,-1,181887,-1,-1,-1,-1,-1,574548,-1,-1,151977,-1,954488,508889,653238,945603,-1,-1,-1,-1,725520,151278,595370,-1,425782,558371,-1,-1,-1,79845,-1,968642,727970,690109,-1,683332,564978,-1,574754,-1,-1,865486,715685,-1,748964,-1,434322,-1,481687,313259,904184,721421,-1,-1,-1,-1,391820,-1,-1,-1,-1,45011,414504,235228,470008,28758,119949,-1,-1,448432,-1,-1,277128,27977,-1,400130,-1,890200,732435,-1,889913,399995,-1,-1,446771,494406,-1,-1,970251,-1,-1,-1,860215,562275,236379,365188,-1,594074,-1,363777,45703,30595,-1,616900,-1,-1,563808,360619,-1,259884,884551,-1,-1,289710,38159,488481,848534,872053,-1,-1,-1,339130,400337,358086,-1,-1,-1,-1,-1,-1,-1,93504,-1,207,131256,612538,322675,-1,-1,426407,-1,-1,-1,773709,569806,-1,-1,-1,-1,-1,-1,315304,-1,-1,-1,-1,-1,-1,588168,-1,-1,-1,168821,-1,-1,-1,92817,-1,-1,784166,307088,-1,830639,34516,-1,-1,-1,727424,29246,-1,-1,-1,231534,622155,135419,-1,253447,-1,576196,-1,-1,-1,640216,37679,813015,-1,-1,-1,645444,-1,-1,-1,-1,-1,-1,-1,-1,371758,5181,-1,-1,740785,81850,497740,-1,-1,-1,-1,-1,651602,866887,160109,-1,-1,457743,507093,-1,526580,-1,-1,321250,-1,575216,-1,-1,138696,-1,-1,619451,-1,892678,-1,-1,362409,-1,-1,-1,-1,-1,353416,-1,583376,-1,111285,245435,-1,86499,-1,228112,-1,-1,449535,-1,-1,-1,848881,500405,872453,274746,780740,48972,6571,232868,-1,838186,-1,51358,-1,-1,-1,913680,-1,-1,-1,-1,193607,510292,461074,-1,14157,-1,979173,-1,443782,-1,680295,-1,618998,-1,929673,346349,303606,-1,72274,279802,-1,-1,-1,-1,-1,933431,-1,-1,-1,327738,-1,-1,582756,-1,-1,301797,-1,-1,466155,642293,396320,859071,834403,432473,-1,-1,-1,610423,363078,178417,-1,624993,889997,-1,864373,950893,349008,-1,899445,632959,235236,270868,-1,370739,69127,-1,-1,-1,626492,675896,-1,-1,-1,-1,500619,-1,675390,736708,-1,-1,-1,-1,-1,-1,675952,-1,77015,987044,727569,-1,-1,39774,427356,-1,291067,532655,790100,749066,377991,-1,130531,-1,155712,842428,-1,-1,740611,188665,125082,-1,792052,795173,310011,-1,813808,-1,-1,-1,-1,827179,-1,-1,-1,301813,292957,-1,176151,-1,542351,591703,847593,-1,150396,671661,-1,912633,730588,758155,882745,615116,700048,503334,239206,-1,-1,834870,252944,94849,504861,-1,77814,-1,566558,431932,-1,-1,870357,-1,417729,-1,640561,202177,278156,202341,630262,699847,-1,857893,525204,352622,-1,-1,-1,-1,-1,-1,-1,-1,570223,-1,636085,-1,680578,600022,368409,107699,477233,-1,-1,19546,-1,-1,-1,853144,473227,373243,355027,-1,349749,-1,852842,226438,-1,-1,-1,-1,-1,-1,680816,643810,565357,58751,-1,-1,600742,-1,-1,-1,-1,924159,-1,166467,-1,-1,897992,-1,194914,-1,673322,632790,-1,531237,114340,499510,968236,-1,962966,141661,-1,-1,-1,415106,-1,-1,-1,91428,-1,339189,222100,-1,213005,97598,-1,-1,-1,-1,621469,298095,315665,-1,16508,-1,-1,-1,649024,932859,239031,-1,-1,991184,-1,436735,303507,-1,-1,-1,374457,267234,-1,-1,-1,550894,847843,527530,-1,-1,955027,-1,-1,522904,774150,908040,711245,-1,-1,-1,645421,-1,-1,-1,580558,-1,-1,57147,-1,-1,767339,-1,-1,647926,-1,-1,503056,-1,4782,-1,-1,-1,489988,111776,664192,455592,330942,949767,377291,528953,-1,157500,-1,745934,-1,635759,-1,-1,714562,181004,570498,131008,-1,329358,620908,-1,-1,-1,-1,272373,505932,-1,254119,322492,-1,-1,-1,785978,-1,-1,253376,-1,-1,-1,533979,166775,-1,-1,636868,374076,113290,-1,-1,769041,397871,-1,340940,-1,-1,-1,-1,-1,928063,626790,-1,-1,608748,-1,-1,916751,327608,-1,891855,-1,-1,694091,461395,-1,401259,-1,-1,373552,-1,-1,-1,353260,-1,-1,-1,-1,411701,-1,263930,-1,336515,-1,-1,106787,87666,-1,288877,435615,704608,-1,-1,-1,80434,98719,-1,-1,-1,527328,-1,75118,-1,353997,-1,-1,-1,-1,-1,-1,-1,248646,594214,-1,715361,-1,241310,97207,110318,-1,-1,-1,-1,358150,16352,-1,-1,-1,8122,253926,985155,-1,-1,-1,141329,37778,676375,785787,358167,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,709299,-1,459338,-1,-1,181873,-1,-1,-1,-1,-1,-1,296635,-1,604943,-1,919312,-1,117930,220206,883241,281711,949657,-1,-1,-1,721152,-1,-1,942170,582418,376669,-1,-1,807942,309664,655419,134286,37170,747694,-1,-1,63312,-1,628640,623492,-1,58403,474968,-1,929901,-1,990004,-1,414844,-1,973866,-1,544679,174851,68592,263596,-1,-1,854589,-1,-1,473995,226183,435217,971368,166929,989319,-1,928201,936141,-1,382866,-1,-1,172378,993789,267235,469174,-1,-1,9257,599593,316121,857267,-1,-1,-1,192916,251651,-1,138557,-1,341548,216496,-1,-1,-1,-1,332914,378380,-1,344393,-1,408934,-1,684513,-1,11218,427020,530712,775225,-1,675,-1,703808,221305,-1,-1,338769,-1,-1,826355,862059,-1,-1,-1,837924,560318,-1,-1,-1,58315,802818,-1,935319,-1,-1,264113,-1,-1,489975,-1,-1,-1,-1,-1,632980,-1,751182,213454,110453,604656,827335,959249,181013,-1,-1,992151,-1,955203,14544,-1,-1,293066,298947,-1,-1,967761,-1,-1,714782,496589,-1,-1,-1,387323,658814,-1,-1,-1,759638,730778,567076,-1,-1,-1,79573,468657,21995,936495,418506,-1,-1,105997,69461,-1,-1,960562,679507,-1,-1,-1,434393,-1,594699,104221,46215,-1,-1,-1,-1,-1,-1,416282,-1,-1,232561,-1,-1,-1,252888,-1,110555,-1,135726,-1,666122,-1,648636,-1,-1,-1,-1,-1,74216,717219,129141,-1,-1,635990,819071,595837,220588,132775,496159,-1,745645,417763,-1,-1,-1,-1,692608,-1,-1,769336,-1,-1,570572,448945,154780,416220,-1,-1,-1,-1,96216,398634,25911,-1,-1,-1,-1,-1,860657,-1,-1,271864,-1,850925,127544,287722,303687,97728,-1,528435,435108,-1,163017,-1,974160,606315,-1,376338,241367,97784,-1,-1,330900,943130,842948,754998,-1,-1,555000,-1,-1,689643,-1,740838,262173,661578,107075,764087,695316,502828,-1,368495,-1,-1,-1,-1,-1,-1,484494,958820,-1,324096,408434,551878,-1,-1,-1,-1,343902,7569,-1,693361,284886,502878,-1,-1,155611,936749,-1,405364,-1,913502,492417,-1,-1,-1,778124,942812,-1,98059,-1,-1,-1,-1,-1,353170,-1,-1,318529,-1,771738,-1,507733,862391,704741,229440,-1,52536,-1,-1,428133,-1,-1,-1,67024,854217,356160,-1,898233,-1,631268,525705,-1,53185,-1,-1,-1,250442,-1,-1,-1,550750,-1,374577,-1,71168,185351,43911,417262,870701,-1,-1,-1,408968,-1,-1,-1,439062,-1,-1,-1,-1,-1,-1,-1,521092,-1,700022,-1,498794,-1,313350,712314,-1,-1,270303,397037,-1,250175,229480,141849,623574,719898,417720,-1,-1,-1,-1,-1,427350,-1,-1,566222,800146,-1,-1,26803,-1,176237,536585,26462,199523,288061,-1,-1,594941,105652,-1,-1,-1,-1,-1,31651,-1,-1,-1,826052,902228,-1,137955,206781,352946,6945,509619,817794,758426,842185,759125,344709,-1,428949,565423,-1,-1,153527,933725,-1,-1,267877,-1,829052,-1,675991,999919,-1,961413,-1,541694,-1,618791,-1,869354,313875,-1,356755,711125,968062,403192,697288,-1,96318,338581,442759,494465,408362,-1,-1,960455,-1,762221,205285,-1,-1,-1,-1,-1,954683,758230,-1,16886,-1,-1,-1,-1,-1,-1,57917,-1,634309,-1,176900,359607,163391,-1,581670,99658,-1,502275,578212,-1,421779,100402,-1,-1,240637,736867,700929,-1,378761,-1,-1,79354,952450,874286,445556,-1,622327,733371,709225,90888,-1,-1,389937,-1,-1,-1,-1,597776,711161,854193,-1,713874,365023,-1,-1,-1,470401,-1,898345,62763,916936,533284,-1,-1,15737,-1,923853,-1,-1,102347,-1,-1,-1,-1,-1,-1,623621,-1,978276,543084,-1,-1,31962,-1,189861,-1,-1,-1,-1,-1,720889,-1,-1,617775,223634,161568,-1,-1,-1,458804,692204,510413,117131,-1,104324,-1,867886,545402,-1,903430,462729,321895,-1,-1,964037,518459,864321,761222,497773,-1,-1,-1,670921,456946,678896,891288,-1,687971,132356,891530,203157,112586,372272,-1,-1,262857,-1,-1,568358,815611,885995,524441,815625,105013,484095,677250,-1,845825,-1,-1,-1,-1,919482,688147,-1,-1,-1,-1,387603,149251,17141,572485,78912,-1,-1,-1,-1,679955,729383,743258,271772,-1,-1,847794,702446,-1,-1,401793,689471,-1,779413,-1,296721,398435,308565,-1,169657,641768,-1,-1,33408,293946,-1,703878,341352,-1,-1,-1,-1,-1,-1,-1,-1,58693,-1,312980,-1,-1,-1,-1,-1,594488,965566,-1,14511,145460,80574,-1,216864,515419,-1,829109,-1,-1,39091,123697,787869,943971,-1,-1,-1,265466,602116,-1,-1,-1,-1,709028,-1,883096,-1,-1,-1,744564,833731,696817,918418,564957,710381,-1,436206,51535,538794,-1,-1,-1,903873,16863,-1,-1,827310,-1,545388,-1,-1,-1,-1,809074,-1,547893,932719,-1,-1,590970,-1,-1,768173,538852,540319,569371,152729,974314,-1,936880,-1,222634,774073,-1,-1,943966,752415,-1,-1,-1,-1,-1,-1,-1,969715,-1,-1,-1,321492,879229,-1,-1,-1,893592,481567,301460,134699,463179,70235,-1,768979,832640,164619,132890,55877,-1,496015,-1,-1,121882,-1,782191,455714,823294,-1,506136,46398,629409,60991,-1,-1,-1,-1,8497,-1,978311,-1,-1,811262,-1,856691,28267,215610,513144,-1,-1,808637,375796,502288,44758,663388,270390,585298,-1,-1,656562,-1,-1,69189,-1,-1,-1,168007,-1,-1,432296,87042,-1,-1,-1,275237,227285,44860,207215,-1,457129,-1,644132,661056,925430,-1,841918,-1,256496,-1,90447,-1,-1,-1,-1,-1,-1,-1,-1,41703,-1,347672,-1,350230,-1,691644,-1,175499,-1,-1,-1,-1,-1,-1,-1,604230,-1,96338,312647,-1,605751,-1,-1,954078,-1,410902,214770,554073,-1,-1,-1,-1,983509,-1,-1,-1,84467,610764,986519,179434,-1,564613,147767,-1,798507,959976,119159,-1,-1,596177,-1,725894,-1,-1,-1,390155,796622,-1,260332,-1,10281,384440,99371,-1,-1,-1,-1,673180,390089,185449,940166,152925,880948,179744,25075,904765,829517,-1,-1,584518,208454,902318,-1,-1,-1,818402,519035,651812,811354,559865,149628,580646,481401,543913,491328,273460,-1,-1,-1,-1,-1,-1,21701,934050,751790,-1,-1,-1,285935,-1,-1,888196,820986,704490,760090,-1,-1,-1,-1,695995,-1,104928,613918,-1,417960,254993,46695,805042,976049,-1,554989,-1,646069,-1,-1,546207,-1,-1,-1,476869,580041,963470,-1,353790,133957,847129,-1,-1,-1,-1,-1,-1,-1,683716,961103,-1,84137,-1,239311,427932,-1,262447,888063,221148,51607,827236,911145,426473,-1,-1,-1,-1,516155,815170,316207,-1,557839,906833,623281,-1,211443,-1,778930,635855,-1,-1,818662,507153,890656,60044,-1,64241,-1,-1,-1,-1,-1,-1,-1,945025,659657,-1,-1,348566,513787,-1,83721,198573,-1,-1,986509,409519,679075,94439,-1,399533,-1,25455,-1,-1,-1,-1,488380,-1,807234,-1,86080,-1,-1,47080,345045,36782,795764,-1,189662,749552,-1,890465,-1,-1,54725,431251,794035,961681,716137,-1,-1,-1,659281,-1,586964,-1,-1,402599,-1,-1,143748,-1,-1,-1,399873,297567,940186,264013,-1,104813,689330,67928,-1,-1,47637,-1,-1,488725,480094,686661,-1,25,-1,437668,-1,-1,-1,-1,-1,412830,-1,267962,-1,122427,-1,-1,703981,-1,756887,889291,-1,-1,-1,-1,209118,413706,-1,-1,830723,-1,493833,-1,698784,193878,-1,-1,125498,367658,-1,546274,775849,579337,330627,950443,946015,638698,-1,225317,256367,-1,956107,-1,-1,-1,-1,348290,-1,-1,-1,824261,-1,304758,-1,838673,100298,803515,383743,73205,831397,264866,469044,-1,829003,-1,484557,75562,-1,755135,-1,-1,-1,-1,-1,472927,-1,597197,-1,89733,-1,420045,559040,185764,579772,-1,516053,949898,41700,-1,-1,-1,632682,98455,962253,-1,704060,-1,874605,818349,319682,598571,184578,196265,603025,-1,-1,-1,-1,588959,-1,-1,-1,-1,58527,-1,-1,-1,246221,845041,53507,-1,-1,338000,-1,800717,-1,111616,-1,-1,-1,736537,-1,-1,-1,782913,-1,-1,-1,-1,167566,928701,161973,-1,-1,-1,-1,-1,553041,986367,877112,-1,-1,-1,508565,-1,29658,753645,-1,-1,-1,-1,-1,20918,756472,642873,-1,-1,260731,-1,116410,-1,-1,-1,111733,-1,-1,137745,150074,-1,358594,83617,-1,-1,-1,673626,834589,135294,686508,-1,-1,918826,435550,-1,-1,-1,762661,408340,175694,-1,998675,-1,-1,-1,-1,706900,721141,14911,-1,-1,-1,-1,-1,871279,-1,-1,426098,497441,548405,20124,-1,-1,106614,539918,404878,398017,-1,661828,-1,775457,134762,973767,408166,-1,685050,923474,929554,757423,841033,311714,904385,987963,-1,766095,-1,-1,247593,246008,976571,-1,-1,797027,414002,-1,-1,897646,602973,584657,670596,-1,809034,96550,-1,-1,924474,774209,47300,345422,258236,-1,211477,-1,772377,518410,-1,565511,-1,106962,-1,-1,622737,906860,329836,209353,376349,429732,-1,-1,-1,-1,440915,512546,48378,-1,948071,348564,-1,-1,498624,979830,957206,946474,-1,-1,-1,-1,-1,-1,-1,-1,-1,789931,372510,-1,-1,-1,-1,-1,346390,884110,435247,806542,-1,-1,341076,474008,963939,-1,-1,135271,-1,-1,-1,-1,-1,15888,-1,-1,687883,364817,811178,-1,-1,832862,-1,-1,460403,-1,-1,-1,610858,-1,-1,-1,-1,630288,-1,-1,-1,-1,-1,513265,-1,-1,-1,-1,984436,791464,329314,857316,-1,-1,197432,386517,-1,3027,433094,-1,526328,-1,-1,-1,-1,709215,860575,251816,-1,40578,757791,-1,-1,-1,865949,-1,-1,762787,-1,-1,506897,147443,-1,366317,-1,659228,801400,-1,402365,904375,-1,-1,-1,-1,558285,-1,743438,-1,247659,-1,-1,-1,303983,-1,846723,666145,-1,-1,-1,-1,411512,878457,89163,-1,860773,475778,461516,-1,-1,154446,262038,-1,-1,-1,935614,-1,957761,-1,-1,-1,917390,-1,129013,347729,277627,-1,120092,418922,-1,-1,80439,-1,-1,259907,224814,232470,-1,189071,-1,-1,641765,223254,348782,430901,-1,759244,-1,-1,-1,-1,-1,971565,-1,-1,-1,-1,648746,-1,980774,-1,-1,-1,19551,-1,-1,-1,-1,-1,240403,967808,379860,377334,407953,-1,-1,996785,176328,-1,622974,87149,219882,672765,240697,-1,381526,-1,292321,549814,-1,-1,-1,-1,290924,-1,255885,582754,760869,593385,737077,-1,-1,903861,-1,-1,-1,890363,-1,-1,-1,435056,-1,-1,386309,-1,-1,340223,-1,437150,152379,986241,752435,844744,-1,-1,26707,-1,-1,-1,-1,314189,745573,941898,-1,358326,736498,-1,-1,302612,-1,-1,593303,-1,751627,-1,123787,563068,372097,-1,-1,-1,851276,723048,-1,-1,501267,-1,395651,-1,21131,801995,-1,-1,-1,91593,877658,264384,625828,445914,436641,125750,113497,-1,-1,896024,297524,429081,731272,55254,-1,67307,-1,56525,-1,-1,-1,-1,-1,-1,102933,961129,412950,767593,452826,962686,114825,718848,588031,-1,-1,-1,229857,-1,-1,-1,-1,-1,421325,258197,-1,28391,-1,698599,594843,-1,-1,61578,560232,-1,-1,-1,-1,-1,-1,980548,-1,-1,-1,-1,714723,-1,979438,690465,-1,449576,-1,-1,-1,-1,313310,691443,887378,-1,562046,-1,759302,308421,-1,-1,321584,-1,932273,-1,-1,-1,-1,-1,-1,577479,-1,-1,-1,339363,-1,922046,-1,-1,154752,181706,155650,417797,821324,-1,865000,-1,744964,522184,-1,-1,-1,365221,-1,371641,-1,689454,984503,-1,207990,998242,743977,-1,514435,938279,637956,641463,334085,795395,557400,654846,-1,287408,-1,-1,-1,422514,-1,511048,933317,-1,-1,-1,67597,-1,-1,-1,-1,705962,915802,662610,-1,-1,-1,529857,776555,-1,855170,737691,524858,-1,49774,-1,-1,475570,133206,672349,973585,-1,903524,414455,-1,-1,-1,-1,-1,-1,-1,341117,-1,477142,-1,329875,865671,255381,47337,-1,778080,-1,40087,-1,650935,455024,965707,-1,514199,493196,-1,-1,108878,148749,-1,-1,897059,-1,-1,-1,-1,-1,-1,134304,994182,476004,476610,-1,-1,-1,52510,556844,716946,-1,788559,169054,2052,258127,14823,354286,-1,-1,383497,494713,-1,63378,472466,184904,148531,609266,311584,-1,-1,-1,-1,901090,-1,-1,376370,837522,978646,802098,-1,422823,-1,-1,580089,-1,-1,821661,-1,-1,457583,-1,-1,645056,122653,855417,-1,975233,-1,-1,286724,-1,857508,380773,998394,-1,950063,-1,-1,654424,-1,-1,-1,-1,853928,77798,498077,100899,-1,-1,709652,-1,127100,-1,282427,743005,782538,571804,306682,-1,290913,-1,521957,745721,-1,-1,-1,-1,736289,924485,700642,-1,-1,-1,615059,617326,-1,-1,636585,-1,-1,325676,360886,-1,-1,-1,-1,439411,-1,-1,-1,800847,866121,245940,422870,251247,-1,800474,288965,-1,470544,-1,938862,289054,54458,23154,-1,241314,-1,-1,854324,645433,-1,409728,-1,127487,-1,926731,750597,340921,772778,209727,-1,-1,-1,-1,-1,-1,-1,732330,550840,292601,145056,-1,-1,-1,-1,902950,381980,652420,-1,485462,968848,-1,-1,-1,-1,583984,-1,-1,-1,-1,-1,-1,-1,-1,914966,443582,248887,-1,-1,-1,-1,818104,-1,234871,444428,-1,-1,-1,-1,134022,-1,-1,-1,135374,-1,816722,648422,-1,-1,-1,-1,-1,-1,329106,763895,-1,991007,593090,-1,-1,799837,985459,-1,-1,-1,-1,-1,-1,716627,187012,390610,-1,773878,354355,764642,827343,-1,-1,358540,-1,714621,-1,560164,533615,-1,-1,551042,-1,-1,788624,-1,130786,176642,-1,-1,-1,937483,-1,18004,-1,-1,-1,27309,-1,968057,-1,-1,-1,-1,102140,-1,-1,-1,76602,-1,967318,376616,242129,-1,214890,223158,597108,442940,-1,-1,975775,535441,-1,853361,40810,-1,-1,392632,293356,-1,619070,-1,-1,-1,-1,-1,-1,61654,454856,483825,-1,955863,877578,445515,-1,432975,-1,297978,-1,145021,-1,639241,-1,-1,-1,-1,990088,-1,56820,-1,-1,-1,-1,-1,129746,500362,-1,670352,-1,528940,-1,-1,-1,974269,-1,-1,-1,450352,-1,-1,-1,560642,85159,-1,59400,-1,347208,749939,-1,-1,-1,-1,440260,182542,926159,-1,-1,137075,-1,-1,-1,-1,637239,-1,-1,739262,-1,-1,-1,746561,966427,566561,883904,-1,-1,195089,-1,695464,-1,-1,952931,661132,193016,-1,244809,700980,267208,608069,-1,-1,685997,297112,-1,-1,456437,551562,-1,28767,268733,-1,287986,-1,-1,-1,-1,-1,-1,-1,-1,-1,208206,10919,-1,804979,-1,-1,-1,560519,503959,430387,905044,-1,441710,686502,-1,808272,-1,-1,118305,-1,842942,242184,-1,-1,-1,946281,-1,481664,257285,-1,-1,-1,348735,-1,367847,750072,374084,-1,-1,-1,-1,-1,-1,407336,-1,-1,232100,483234,-1,-1,168877,-1,524564,127982,-1,547525,-1,-1,-1,-1,-1,327311,-1,952334,402851,781302,672951,511246,71844,-1,665945,308068,472300,-1,320088,-1,-1,802235,823408,483270,-1,69214,915183,155031,-1,-1,-1,725281,52715,-1,-1,304566,-1,-1,646263,211284,-1,18423,132591,798544,-1,923033,-1,-1,-1,348026,924214,-1,-1,477918,645704,-1,-1,-1,92906,877546,-1,-1,996953,-1,-1,961087,843926,131246,-1,-1,944690,-1,-1,785503,582239,414832,-1,-1,791528,-1,-1,221653,505956,-1,510123,814694,197671,506020,-1,294821,167247,-1,935401,-1,962678,271510,456000,24993,-1,900033,-1,-1,158490,-1,-1,-1,-1,-1,-1,-1,-1,-1,171422,-1,-1,-1,-1,-1,-1,-1,454448,-1,-1,-1,270026,-1,-1,265450,332539,44228,42469,-1,251961,-1,-1,-1,694742,984762,-1,-1,-1,-1,908426,725424,348806,-1,891220,45864,-1,-1,577146,-1,-1,-1,193328,-1,-1,285300,-1,633049,755725,-1,203836,840359,866227,796027,647290,-1,904679,147054,-1,422190,984323,853064,-1,-1,-1,530804,493102,548658,-1,836870,855706,-1,-1,160622,-1,939589,486496,358202,176048,176678,-1,-1,-1,-1,92123,-1,256586,808133,-1,-1,-1,-1,-1,378447,-1,-1,73267,986718,-1,871502,8813,-1,-1,777422,-1,348759,-1,38815,738916,51649,746458,52237,122397,495160,-1,915091,207850,-1,-1,-1,685169,-1,969329,-1,658952,-1,-1,-1,344959,444869,-1,642611,152576,-1,-1,378602,-1,594763,505909,535136,-1,-1,325088,-1,104629,-1,211505,-1,-1,-1,570707,-1,543326,587542,-1,925511,-1,173717,-1,447906,-1,-1,237414,714803,-1,951098,-1,-1,266049,244766,-1,842053,-1,186904,881596,390379,-1,-1,942755,828000,102405,-1,510210,-1,43784,720633,-1,16442,813079,883323,-1,430229,461064,-1,456024,-1,-1,-1,-1,-1,686085,794856,47430,-1,-1,802210,-1,-1,-1,856095,958583,-1,-1,56752,-1,-1,-1,-1,65292,-1,619639,-1,-1,223620,408932,59212,645529,-1,216638,862400,-1,-1,785788,610939,963847,4678,619750,-1,-1,682147,902737,-1,940962,-1,-1,-1,330732,-1,890987,293339,-1,-1,-1,28270,-1,4472,829549,617283,-1,-1,536787,-1,101051,-1,848987,674913,-1,-1,983879,-1,-1,846835,721996,185119,658484,576612,-1,-1,351792,410029,436315,-1,535355,-1,227409,168851,-1,-1,473231,-1,-1,-1,-1,276895,-1,-1,-1,-1,651599,69312,-1,-1,126313,-1,48600,-1,-1,424257,-1,796844,-1,765110,19412,-1,591313,117888,678901,182610,730246,325352,684955,335732,-1,-1,809987,-1,-1,718474,440847,-1,647288,-1,654616,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,985228,-1,960382,-1,517763,507142,140433,-1,-1,-1,-1,52199,186340,-1,971245,-1,835137,149421,75064,-1,-1,696686,-1,616189,-1,130444,705233,-1,-1,849441,-1,442144,-1,-1,170852,-1,-1,-1,-1,333164,667772,-1,461812,445352,803047,894166,422143,-1,153977,-1,-1,171154,8475,-1,-1,575101,999167,-1,-1,-1,-1,967173,-1,-1,-1,307289,75135,703163,587871,195274,706271,36718,-1,650467,542686,35263,497488,776360,451108,-1,708003,-1,511347,-1,941108,886623,-1,612235,-1,904648,-1,-1,-1,164361,898027,967889,629508,206782,452788,-1,307243,901559,-1,-1,-1,-1,-1,-1,854098,-1,-1,193200,-1,-1,-1,-1,21969,-1,379044,-1,198213,172300,-1,-1,429193,605277,-1,-1,-1,-1,-1,-1,112039,895218,976389,-1,-1,829666,-1,-1,7447,569993,648730,400105,-1,-1,-1,-1,-1,-1,-1,575601,-1,819683,-1,-1,-1,977317,-1,684122,-1,-1,400916,-1,-1,497648,-1,-1,156172,665618,-1,927637,-1,657213,-1,-1,-1,578225,138835,-1,-1,27589,781150,-1,619131,23158,-1,830988,766725,-1,847922,-1,368698,105313,-1,-1,113261,506504,-1,-1,-1,-1,-1,942740,-1,-1,712083,-1,269889,-1,208331,-1,268743,499922,858148,371119,-1,-1,-1,264363,9917,-1,-1,474001,-1,339320,-1,-1,643998,-1,-1,171831,563824,-1,738689,-1,-1,-1,587956,-1,247705,581722,-1,-1,-1,-1,152341,-1,-1,680379,391183,-1,157660,-1,-1,996085,-1,-1,297253,58021,-1,575116,980801,290585,97364,-1,-1,148433,-1,-1,281099,196913,-1,571349,78810,597252,145831,-1,-1,-1,-1,-1,-1,-1,741052,-1,-1,-1,560396,-1,-1,-1,-1,304554,-1,366207,808564,-1,-1,643534,-1,-1,274847,792194,-1,594255,59329,-1,871073,639691,-1,52438,305578,547190,146542,312931,186072,-1,-1,156043,398053,-1,323061,-1,454623,945094,-1,-1,-1,547243,-1,-1,-1,39947,-1,-1,183780,-1,596566,924959,-1,-1,439189,429755,499844,416945,529415,-1,222338,-1,-1,-1,123769,-1,-1,155074,698608,725791,308638,-1,842119,-1,-1,-1,-1,-1,-1,789535,-1,-1,-1,445618,471560,565940,-1,138727,-1,269917,-1,-1,-1,588757,344662,681879,1642,-1,-1,694449,478886,-1,691734,272981,512829,-1,-1,-1,569390,-1,-1,-1,-1,-1,-1,164190,832324,863101,-1,-1,-1,-1,-1,738789,200649,811328,132164,-1,653861,-1,721357,27860,-1,-1,251846,-1,-1,151923,484006,-1,-1,462837,65232,462487,-1,-1,-1,-1,669192,226090,-1,807506,396610,653650,21750,532923,784821,665390,852420,365232,-1,231010,676201,-1,536148,667447,-1,-1,746566,608093,667096,-1,-1,11502,863521,760921,160627,-1,-1,-1,-1,517178,903777,399028,-1,-1,-1,-1,193031,-1,67186,-1,-1,600500,516400,-1,-1,-1,501896,-1,-1,-1,-1,-1,342991,329893,549924,-1,-1,-1,28211,710618,841899,-1,647879,50597,-1,910967,-1,391003,-1,-1,-1,-1,-1,208532,-1,276056,574063,-1,674884,292235,-1,-1,-1,729317,-1,-1,629115,419057,398233,935604,932304,-1,-1,-1,-1,-1,-1,7745,-1,41617,903118,-1,-1,500148,220331,-1,-1,454319,-1,-1,423215,534442,-1,-1,-1,212911,526111,487863,247944,83201,-1,566466,43298,192967,-1,-1,800937,232533,272527,165756,847840,-1,441653,-1,-1,942922,-1,-1,519558,-1,-1,-1,-1,450412,-1,-1,-1,618882,-1,960650,-1,822679,-1,-1,-1,182060,-1,-1,-1,687070,573035,-1,-1,441897,781482,881286,58636,-1,-1,686260,-1,169489,259521,797586,-1,703816,-1,344696,945946,-1,-1,200362,-1,-1,747701,725798,-1,-1,-1,106331,781836,782888,406841,471100,645901,161133,867111,282537,-1,760244,319987,-1,-1,-1,-1,-1,923963,-1,-1,386572,98763,-1,-1,-1,189505,179138,696968,994345,388894,150839,-1,-1,-1,222358,958848,-1,-1,-1,900325,-1,608585,-1,-1,879334,386545,398857,-1,693025,640654,-1,-1,-1,158833,-1,434401,-1,113037,377400,-1,547816,-1,-1,466312,-1,-1,351535,366077,-1,-1,-1,748585,-1,372988,-1,-1,697773,-1,-1,494716,804092,546844,-1,178974,262097,-1,742914,-1,723508,307727,639549,377344,-1,696145,-1,578963,563666,126264,153672,-1,727136,120404,-1,51516,-1,-1,19492,-1,755786,-1,-1,507189,420933,-1,-1,660199,-1,-1,532855,-1,-1,734565,367830,-1,619786,790699,-1,837534,286653,966790,971813,-1,855860,698942,-1,-1,647663,187424,860351,325696,931672,273121,49949,-1,-1,233821,-1,477676,774745,-1,620253,946981,-1,672431,898085,288749,560556,-1,379299,-1,-1,-1,444851,238834,-1,-1,-1,-1,120990,-1,188190,-1,966040,-1,872408,577226,592086,384269,227632,-1,129480,657689,-1,588430,908127,918478,-1,-1,539824,-1,-1,116810,-1,-1,354886,722383,759540,690423,525852,854022,266216,-1,-1,85017,754383,256041,427929,876066,-1,648192,-1,848747,-1,-1,-1,834969,227534,-1,879090,516811,-1,481847,-1,-1,122080,-1,-1,890786,106248,-1,219137,-1,335102,47290,-1,-1,-1,33536,952989,843048,308469,444455,216430,-1,643762,32590,994224,427550,-1,-1,488219,-1,-1,-1,-1,963811,-1,396377,-1,754830,-1,-1,794890,744073,-1,-1,-1,947015,-1,380939,75597,683054,-1,822087,838859,1897,896188,-1,705246,-1,-1,-1,-1,-1,-1,-1,210641,-1,-1,-1,78721,71987,-1,-1,852394,360014,-1,80676,345472,511902,989570,119791,-1,341572,-1,-1,-1,-1,-1,504048,804770,-1,936182,818889,-1,529919,307679,403593,-1,657222,1227,767055,-1,130962,-1,976142,690559,-1,613026,551460,305736,-1,-1,-1,-1,976578,-1,-1,169872,-1,802872,385933,225861,-1,149792,986783,-1,109369,935947,-1,-1,62527,850524,921299,-1,-1,-1,-1,161512,364893,260446,981764,980059,-1,368472,804324,-1,-1,493564,199690,-1,289451,-1,645737,-1,-1,174551,248076,880155,651296,926573,-1,873982,-1,-1,-1,409842,-1,304737,-1,-1,-1,-1,-1,838563,826896,898194,440816,507230,910726,-1,243202,607001,-1,494952,152732,-1,-1,898310,-1,-1,150783,596765,600900,688145,-1,-1,-1,-1,694694,278058,-1,-1,-1,398193,53753,270290,-1,234959,788584,910064,142834,273509,22271,-1,238041,-1,-1,389579,798158,-1,809690,-1,71137,-1,-1,86619,-1,-1,314967,224615,-1,-1,-1,216091,-1,569805,-1,145670,538476,667477,654077,288067,523523,319769,639961,-1,-1,-1,-1,714846,913422,-1,278828,565335,-1,712461,394481,-1,-1,-1,-1,-1,666486,908102,-1,226601,294100,376539,838330,11925,775670,-1,-1,-1,-1,-1,526229,246853,-1,761267,-1,-1,944246,-1,-1,-1,472580,949549,779,-1,106898,-1,-1,810192,-1,-1,-1,619452,888857,-1,953685,-1,-1,-1,329425,795672,-1,595633,-1,-1,-1,-1,-1,719623,766024,263691,-1,277153,649938,297342,759031,268147,-1,148622,-1,88954,-1,570764,785803,-1,784145,-1,-1,208468,-1,-1,-1,-1,-1,-1,109524,414036,-1,-1,695626,998429,-1,-1,369094,-1,802808,669733,-1,-1,821885,178335,-1,405024,169773,-1,182391,229095,719690,-1,-1,608822,-1,-1,115347,-1,7796,-1,628962,984227,-1,-1,659785,850060,196101,999484,-1,-1,-1,141031,-1,-1,974606,-1,-1,-1,24139,-1,831250,-1,437474,333835,-1,492973,49304,25612,824033,-1,-1,444098,-1,-1,-1,180035,-1,-1,-1,914634,556938,536387,465362,338314,-1,775372,719575,764338,604119,675894,511546,646991,-1,884339,212170,421032,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,220467,232621,349052,-1,175678,624482,-1,829006,-1,793094,770154,642538,-1,564263,573525,134615,-1,45015,-1,-1,-1,339818,-1,-1,776875,38407,801443,656848,-1,-1,707399,-1,682612,-1,-1,659469,635013,707518,234408,-1,-1,796535,-1,861114,400784,-1,-1,-1,-1,823580,-1,170527,-1,380442,898308,-1,55635,-1,535713,745820,-1,107164,247414,98881,893196,243895,-1,729869,88005,-1,517892,-1,275139,-1,886474,-1,18505,-1,-1,-1,-1,-1,-1,-1,-1,817957,-1,62955,-1,461515,630085,-1,-1,819118,-1,-1,-1,-1,-1,-1,833809,-1,556484,-1,290991,949367,54948,-1,918518,644350,606582,-1,-1,-1,-1,-1,879739,-1,-1,607080,838523,73400,-1,-1,-1,734751,548840,-1,239254,-1,-1,-1,721014,-1,-1,397510,828146,-1,250601,-1,-1,826659,605513,21594,-1,283104,314208,915324,381593,37761,-1,-1,-1,-1,122233,-1,603876,-1,146907,-1,312210,-1,276666,368227,61012,920697,206915,-1,129039,540441,974776,367096,-1,696421,898258,294554,-1,925241,847331,-1,79989,259665,439930,201793,90366,953943,-1,866437,-1,506425,-1,-1,-1,174475,790260,-1,209510,-1,-1,-1,835859,942815,966845,935550,977213,-1,538647,-1,472480,65607,-1,-1,193641,609402,254164,386046,988045,569582,-1,623671,998117,-1,309348,-1,305382,-1,-1,844127,-1,685032,143427,-1,505606,249202,-1,-1,-1,-1,917561,-1,-1,49048,-1,-1,-1,57095,488754,-1,542321,-1,-1,-1,213242,802423,832241,294030,188779,-1,516633,-1,311817,-1,-1,-1,-1,17866,-1,839666,-1,206830,225639,-1,-1,-1,585803,197217,-1,-1,-1,-1,900585,-1,350198,-1,-1,-1,805714,-1,457630,876428,466841,-1,769331,972873,-1,905166,298399,88071,676167,863146,-1,963523,-1,-1,-1,-1,-1,599067,-1,10043,825800,-1,716395,784393,592292,727974,300640,127802,172009,-1,961100,653338,-1,-1,-1,-1,480028,212611,140673,341949,-1,286670,-1,-1,427207,-1,-1,926722,-1,919666,-1,224285,58954,879298,-1,263564,-1,336,-1,847601,-1,952963,-1,-1,-1,647500,798969,400449,865599,-1,-1,-1,12878,-1,734652,479858,-1,134952,557071,901155,45915,124889,-1,-1,841816,92628,994170,711033,895564,-1,934810,-1,-1,-1,-1,-1,-1,102389,-1,362219,-1,-1,-1,926648,-1,-1,-1,829644,-1,136113,352406,39734,417748,110378,-1,-1,-1,586651,-1,786463,805313,715451,822748,-1,72744,-1,338942,-1,557260,-1,-1,951055,351167,334405,-1,992260,-1,-1,534529,-1,-1,-1,80745,351406,684699,371465,-1,47710,117707,597700,-1,-1,414335,631161,523338,163143,-1,-1,-1,875907,-1,-1,-1,-1,175505,-1,546000,51420,381681,301588,277790,-1,998651,356280,369481,701967,224346,182365,579607,173071,-1,-1,-1,965870,-1,406052,120683,-1,212051,-1,708541,-1,725483,-1,-1,-1,-1,-1,-1,-1,260427,489144,-1,717139,-1,-1,-1,-1,151081,747738,-1,-1,640873,581373,-1,-1,907843,-1,878581,-1,385585,87498,-1,-1,457039,-1,-1,197011,883832,772557,-1,-1,-1,624769,-1,-1,-1,-1,667782,409624,-1,-1,111877,92233,-1,759749,512249,608741,140804,-1,547400,-1,-1,-1,478862,431423,47075,192809,960576,-1,-1,587669,-1,-1,-1,-1,291788,988552,-1,-1,30572,-1,-1,88814,-1,758549,949726,231928,-1,782757,20960,602636,-1,-1,516183,640413,-1,-1,-1,-1,-1,-1,241537,111491,-1,-1,27537,-1,50495,-1,710363,137454,-1,751653,225828,-1,228922,468765,788594,-1,709531,-1,-1,352582,504502,426460,613950,706269,-1,765990,472387,277781,796255,-1,-1,-1,77543,-1,-1,-1,-1,-1,19473,390193,-1,-1,-1,377343,645738,433691,-1,-1,-1,426977,-1,576844,439196,-1,-1,-1,-1,-1,528267,-1,-1,-1,515630,-1,-1,-1,908746,657723,-1,696424,299864,-1,-1,-1,339404,63856,-1,247544,344136,-1,211071,-1,-1,-1,-1,-1,-1,-1,-1,395923,-1,821421,-1,-1,-1,-1,498265,-1,-1,-1,266922,-1,510201,-1,346751,-1,-1,276045,699782,-1,-1,672478,-1,707618,672134,834533,507025,653724,350881,188054,-1,-1,-1,-1,-1,-1,-1,-1,122219,862317,-1,-1,220804,112156,-1,707435,-1,-1,629047,194446,-1,-1,-1,739412,-1,-1,-1,-1,666569,-1,592518,103436,857824,-1,905082,-1,530756,6307,653640,200194,686790,-1,-1,-1,-1,736366,192251,898646,721284,-1,-1,32113,95177,417322,388207,-1,-1,664656,-1,902101,-1,292589,-1,-1,-1,534390,-1,912992,501232,-1,-1,135098,424550,-1,-1,382703,800894,-1,65181,-1,-1,73547,582065,297384,-1,-1,-1,937582,-1,-1,768239,124799,247892,-1,815794,211469,828225,-1,452615,935777,-1,-1,321970,-1,-1,-1,451286,605812,-1,-1,-1,918919,737988,942958,868092,911491,-1,60344,57302,343986,-1,586015,876261,394462,177522,-1,558208,3729,-1,276985,903074,-1,-1,869323,-1,-1,-1,784198,897527,802123,710493,-1,45343,-1,290767,522621,-1,-1,-1,-1,195924,718747,418001,-1,270989,-1,569312,898003,-1,30685,-1,983471,567288,890154,-1,937501,-1,-1,-1,773984,55420,-1,407263,-1,661825,621612,603367,-1,-1,248851,146372,139121,-1,558592,-1,984813,449924,350555,-1,-1,-1,672686,752475,102459,673809,-1,698845,893901,-1,-1,893039,982102,397467,613636,-1,-1,585339,-1,118309,-1,559260,-1,154620,262749,655346,532939,-1,532816,412521,919509,101525,-1,-1,-1,573293,922102,-1,629854,93062,-1,877390,-1,645654,-1,390268,-1,180586,846910,-1,195932,-1,556712,-1,-1,778254,-1,-1,338166,-1,40847,-1,-1,806211,-1,348217,-1,60099,658955,283259,-1,319120,-1,424304,896416,-1,-1,-1,-1,427799,-1,-1,900201,460216,-1,-1,12,-1,150329,591551,387282,825341,524760,-1,345555,24360,-1,605839,880814,232972,-1,401098,-1,-1,-1,-1,-1,699148,184060,552505,823017,457736,-1,-1,-1,887973,-1,-1,-1,214371,-1,-1,-1,-1,984138,-1,307097,-1,-1,-1,-1,963834,-1,-1,-1,586729,206617,-1,391652,-1,913425,7649,982263,333869,-1,40244,-1,-1,-1,-1,-1,-1,299760,350334,-1,222747,475191,-1,-1,410799,-1,-1,-1,-1,-1,-1,-1,-1,-1,170318,-1,-1,374179,-1,194312,71478,983468,943412,-1,-1,665435,-1,-1,-1,622309,100936,-1,-1,459609,963930,-1,916805,218889,-1,215214,-1,-1,213259,977540,588452,-1,-1,-1,841751,-1,-1,559075,-1,208537,-1,-1,-1,168387,-1,-1,-1,119171,-1,-1,-1,989378,-1,118626,222863,546374,939331,-1,-1,-1,107161,120402,-1,827930,346608,422716,-1,349177,-1,40685,-1,229209,969801,-1,-1,-1,809185,-1,-1,22713,960375,-1,941496,-1,-1,-1,716774,-1,-1,758428,-1,-1,916445,687625,872660,-1,508625,-1,-1,-1,-1,95185,212766,378323,-1,939544,-1,-1,-1,349465,-1,211233,-1,585117,912431,-1,817395,-1,501813,257873,-1,-1,-1,543684,-1,-1,-1,48168,509767,13987,113954,998174,207858,-1,-1,-1,-1,-1,-1,-1,200424,-1,-1,696432,476618,-1,382104,492861,-1,-1,28462,564509,-1,-1,-1,-1,206092,482310,187865,-1,665472,-1,345355,-1,-1,-1,782231,980563,591147,-1,-1,519387,-1,-1,726391,81047,-1,-1,876656,668083,193160,-1,-1,378091,-1,-1,-1,-1,976721,578854,-1,34624,-1,557067,828754,429025,-1,363222,430925,-1,-1,-1,938019,206785,-1,333299,245103,662337,-1,856430,-1,-1,-1,648951,471232,-1,249388,-1,242246,-1,682020,666798,432569,-1,-1,-1,-1,-1,-1,543430,-1,-1,-1,-1,253011,454182,-1,-1,407385,664556,-1,584570,139408,249091,427339,-1,608360,4805,772905,28930,-1,861588,737002,306917,-1,-1,-1,-1,-1,120271,424072,308104,194652,-1,193178,955796,136349,-1,836140,247895,-1,52251,-1,390246,-1,570539,-1,528156,-1,-1,403368,-1,769033,512429,441619,701755,-1,974118,111486,-1,517674,-1,-1,3867,-1,47800,905228,52453,362028,928393,261809,-1,-1,-1,704146,-1,-1,-1,405675,1782,657127,244922,374352,-1,612725,932670,48295,863493,-1,139932,647130,172196,409072,-1,743142,545505,-1,-1,-1,-1,197246,-1,870971,646422,611362,976426,343903,34413,325447,456120,-1,290341,192498,-1,417631,75709,-1,442084,268982,-1,639387,41065,-1,402988,980743,597679,94010,-1,-1,-1,-1,-1,72917,413218,934958,723134,451625,748455,-1,-1,800064,-1,-1,-1,-1,73335,671372,572581,-1,790919,-1,-1,801378,-1,252482,-1,-1,-1,-1,69300,-1,-1,857043,-1,766806,-1,145083,518487,-1,-1,92220,-1,-1,-1,460721,-1,385729,-1,636729,-1,-1,-1,692159,652914,-1,-1,-1,-1,213108,392414,807338,-1,407481,541566,-1,-1,908572,485748,875910,-1,436246,-1,-1,834730,418732,-1,283812,250303,-1,-1,942288,-1,-1,-1,245429,-1,902269,-1,833457,798117,-1,486982,-1,301906,-1,-1,246125,30356,982006,523118,-1,47464,-1,-1,843592,438705,807397,803227,-1,261901,84602,63410,-1,628020,893172,-1,-1,-1,-1,-1,-1,113623,-1,-1,421605,-1,280195,-1,1691,-1,321314,-1,108350,834480,-1,222206,851427,288384,-1,461433,-1,-1,724630,56252,-1,-1,-1,971053,935936,-1,819520,184015,-1,-1,-1,984670,845755,958714,168935,-1,-1,111289,-1,34519,-1,-1,-1,-1,-1,-1,779706,112916,787923,818140,-1,197932,-1,-1,938109,-1,-1,-1,597317,413430,371055,-1,490227,-1,-1,-1,-1,-1,372187,-1,266051,384030,-1,672974,-1,681856,-1,795980,-1,142522,-1,-1,-1,167519,645316,860079,-1,-1,910592,-1,-1,261881,-1,-1,-1,66364,976098,-1,244995,682198,187382,-1,991328,-1,-1,621398,511331,880919,-1,-1,-1,-1,-1,803075,844711,648092,855557,-1,212423,-1,-1,-1,984381,742094,31400,-1,-1,339399,-1,-1,-1,-1,920851,-1,-1,-1,-1,-1,194641,585308,915274,779647,976393,-1,620621,-1,528146,378788,321707,-1,-1,631378,189586,954469,-1,366789,289309,690713,950529,427691,32774,675388,-1,-1,-1,333770,-1,266451,179182,-1,-1,895932,479447,-1,-1,642939,674998,-1,-1,-1,859971,140138,-1,-1,643455,516814,202786,210529,766955,-1,-1,703038,30054,-1,76493,159338,828095,-1,-1,-1,601168,-1,943331,-1,-1,516659,-1,656792,168881,-1,505427,-1,530300,-1,-1,-1,-1,-1,70453,947517,-1,-1,586193,495182,-1,-1,-1,-1,282954,669696,-1,224579,635546,-1,-1,234187,67932,-1,22137,-1,16221,844102,-1,337986,-1,-1,175769,919677,-1,-1,784149,776640,-1,-1,94691,131540,479168,765034,760302,-1,-1,468825,-1,-1,-1,10727,-1,80898,-1,946658,33137,133014,815292,588055,118741,994919,-1,-1,-1,-1,-1,686560,-1,-1,-1,384577,197750,339092,-1,-1,-1,293154,-1,-1,-1,-1,-1,307260,-1,-1,-1,98969,-1,111476,101376,568239,990544,-1,-1,-1,-1,-1,327007,-1,192423,249133,-1,739053,608234,-1,-1,-1,-1,-1,496151,590502,690112,96824,75656,-1,679441,528335,-1,403506,793718,-1,-1,-1,734877,-1,409961,-1,137374,-1,-1,-1,-1,-1,-1,610840,636249,298885,135530,107123,-1,29056,-1,-1,822865,666753,-1,30571,-1,536545,-1,-1,-1,-1,823693,929519,-1,893599,681222,201409,575472,-1,-1,-1,443070,-1,528680,284638,146320,520250,289979,-1,474295,616133,142228,854190,-1,-1,-1,-1,-1,-1,275959,-1,690261,-1,-1,-1,403007,33446,751236,500505,-1,-1,631492,-1,336029,-1,684447,-1,-1,221574,-1,920040,-1,235637,-1,-1,221436,-1,887122,-1,591240,-1,-1,392251,989687,567003,26314,153354,-1,-1,-1,735977,-1,537202,836008,-1,-1,514965,238111,269611,-1,-1,649354,943036,-1,-1,-1,642032,952929,-1,10526,-1,820118,633890,-1,-1,-1,-1,-1,-1,385460,886558,-1,667616,778300,636046,620415,121174,-1,718002,-1,-1,-1,163509,-1,88666,882846,-1,496043,-1,-1,794395,775004,-1,-1,-1,540721,497266,253216,-1,169720,-1,456205,-1,965859,-1,269637,-1,91036,445665,279246,437423,326598,-1,-1,-1,747734,103224,672054,-1,638837,919983,-1,-1,28403,88307,-1,-1,-1,-1,-1,-1,-1,-1,122481,11652,171168,214949,246148,-1,-1,724638,-1,-1,-1,-1,-1,973428,-1,-1,-1,-1,106619,473803,-1,155153,38802,927102,611539,-1,-1,-1,-1,866494,-1,420710,-1,482147,-1,202620,-1,-1,599574,-1,821565,-1,514082,-1,-1,-1,-1,552037,-1,-1,908476,734395,326091,-1,-1,492502,594098,-1,-1,-1,498280,662138,112618,915020,901701,-1,-1,949682,758343,647653,-1,850867,326480,-1,-1,560896,311895,-1,47970,-1,-1,21336,246416,179630,818141,-1,860659,-1,348602,-1,-1,311595,-1,-1,227862,962718,860474,201826,205000,444803,17197,-1,-1,-1,-1,853767,25891,138516,-1,-1,-1,155299,59233,783787,-1,-1,750723,-1,818494,-1,-1,-1,-1,768784,-1,-1,376994,6007,808675,440036,-1,960660,-1,-1,93874,936329,-1,741839,929478,-1,-1,736794,-1,798120,552242,63456,602719,503732,-1,-1,698023,-1,943748,-1,374601,-1,-1,661450,483778,-1,-1,691422,331507,606179,867492,-1,515628,-1,-1,-1,-1,-1,445443,-1,-1,90434,425430,545887,834136,-1,-1,299656,-1,-1,-1,722825,231306,-1,-1,634608,-1,905039,523510,-1,-1,-1,499124,-1,491433,179412,-1,979245,959077,-1,589635,-1,-1,494821,194093,781587,617497,450006,607309,-1,317601,-1,996469,300121,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,432035,-1,-1,-1,-1,-1,-1,-1,5003,-1,398160,304135,332695,-1,-1,543274,916864,95548,-1,682136,-1,-1,-1,752697,-1,442392,978220,-1,23310,386752,425897,-1,757334,-1,54245,960155,-1,381883,260986,-1,168598,-1,-1,464957,-1,469326,-1,362425,521605,-1,693775,-1,-1,794068,261264,-1,-1,-1,851019,688470,604771,-1,561501,-1,54421,-1,-1,-1,431282,-1,477070,748751,-1,154402,825143,986688,-1,261512,-1,511436,601774,978988,-1,295733,523459,-1,345772,815088,-1,113349,228218,-1,-1,-1,201296,839455,220466,-1,883701,44640,-1,193513,992659,683850,324458,694816,540330,396929,-1,-1,833971,115442,954685,146006,-1,894810,-1,-1,-1,-1,-1,643456,-1,-1,693600,778520,49987,-1,188782,-1,977649,-1,685950,381282,-1,641574,884745,-1,-1,-1,707392,-1,-1,-1,133357,-1,-1,-1,510908,30432,489643,955580,-1,-1,867557,823848,-1,-1,-1,-1,-1,-1,-1,459591,-1,-1,938970,-1,-1,-1,113470,78783,-1,-1,-1,-1,-1,153892,-1,745486,65648,201753,-1,-1,-1,475834,696467,676237,-1,-1,-1,-1,-1,24858,561777,237535,-1,-1,-1,-1,340811,868323,906136,580341,403665,607016,440345,314478,-1,795733,293368,-1,149443,236372,694669,778184,-1,355106,582731,-1,-1,259903,486408,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,386255,683340,709062,979964,191241,-1,434087,425390,617125,-1,-1,-1,-1,-1,976057,821984,167081,813295,-1,383977,-1,776022,235337,88290,380797,-1,-1,-1,-1,-1,-1,707355,443107,662719,550703,-1,958339,-1,-1,389992,-1,-1,552269,624985,302188,698351,-1,475669,-1,945478,466271,-1,-1,556142,-1,575339,747181,750423,-1,-1,-1,-1,34376,-1,153386,-1,-1,-1,-1,-1,565494,-1,531940,692242,711213,938526,90221,-1,-1,-1,-1,-1,393864,-1,432455,878659,-1,-1,-1,149341,792950,-1,715351,-1,64200,-1,-1,555625,238544,60121,-1,134911,-1,175045,782760,-1,-1,18602,-1,-1,-1,908417,-1,598049,306630,617667,-1,155764,183353,664124,-1,765999,627114,353757,-1,590901,547754,-1,550556,-1,770270,-1,141936,999298,797984,-1,-1,-1,-1,80141,-1,501578,-1,957742,-1,-1,-1,172972,-1,580056,-1,-1,815853,-1,500738,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,365989,-1,-1,392543,-1,857057,-1,-1,131353,427576,-1,364466,-1,-1,937831,-1,-1,458526,178148,-1,-1,-1,-1,-1,-1,423170,211861,-1,661255,-1,439799,514967,665591,401624,-1,817228,109879,739377,247383,-1,999566,798075,25944,-1,903038,789944,-1,-1,701327,-1,495717,937195,323530,-1,500589,764233,-1,95128,-1,-1,980278,262778,-1,33237,816965,166930,703253,188886,965718,-1,368974,-1,-1,970106,-1,4791,417920,-1,714597,-1,708985,172088,743617,926141,971182,532211,518752,-1,446130,498202,-1,-1,-1,406117,48499,166802,-1,676248,-1,831937,-1,203853,809035,742750,587701,99512,841111,-1,-1,679128,897473,-1,-1,-1,895588,532039,-1,611164,684839,514848,758735,541920,-1,586813,459694,-1,974013,-1,570735,-1,793158,-1,420755,722456,-1,277127,-1,-1,-1,-1,-1,-1,848799,-1,672002,-1,-1,-1,-1,41001,621210,-1,766782,582833,-1,-1,-1,828593,-1,860317,-1,-1,-1,-1,-1,-1,93015,671145,723209,86076,859378,150219,273942,716768,698898,-1,938963,-1,-1,-1,-1,-1,400391,857660,-1,-1,975476,-1,-1,691860,120887,-1,-1,-1,-1,-1,-1,-1,168910,794617,962304,-1,-1,-1,330869,542860,-1,-1,-1,-1,275638,-1,962269,-1,42723,433202,-1,296590,-1,-1,580485,-1,668534,-1,-1,-1,841764,60760,-1,445832,-1,218590,-1,373477,-1,198883,86449,594040,364904,533836,-1,-1,821219,638630,526257,331243,-1,-1,-1,590152,533257,-1,-1,600789,-1,-1,-1,-1,215485,945265,-1,541033,-1,149392,-1,613371,708779,534113,530147,946465,943524,717081,347972,326027,-1,422298,-1,768269,375291,-1,610380,611211,523380,786112,-1,272214,-1,207892,776920,-1,226315,84035,816146,32749,817877,-1,-1,-1,506692,64565,866070,-1,274250,242826,275305,-1,647235,-1,669582,472938,626289,-1,709199,-1,-1,-1,780387,622563,404677,267784,17162,-1,-1,-1,-1,-1,753768,-1,949109,-1,-1,590893,-1,421341,-1,-1,-1,272182,703181,-1,334007,-1,-1,-1,307684,372278,156700,-1,601966,649051,532667,-1,797296,-1,-1,108664,-1,-1,928826,714373,701185,246542,833332,422428,-1,408551,-1,871207,813845,15487,-1,245999,681298,-1,-1,143235,-1,473892,265480,80048,185201,234556,970775,131023,-1,-1,-1,179159,-1,293980,638548,94531,-1,-1,-1,-1,863529,357880,244540,35107,-1,-1,-1,936695,433565,-1,596821,58042,-1,-1,-1,172299,-1,-1,-1,-1,-1,-1,-1,-1,867053,-1,821664,463927,805684,-1,-1,-1,814243,-1,314835,769856,-1,-1,-1,-1,341379,-1,683441,507712,731856,539646,-1,-1,-1,-1,-1,-1,57632,-1,937706,779812,484588,114788,588543,-1,-1,-1,927401,659921,533966,834348,996577,-1,-1,969828,778386,313144,-1,976596,-1,546966,475449,-1,-1,364840,-1,-1,446866,-1,492586,-1,170584,-1,-1,-1,246166,397177,-1,-1,630646,-1,-1,-1,322900,630794,-1,72605,195604,-1,-1,-1,-1,-1,138872,-1,-1,133549,61211,470695,-1,620232,383388,-1,-1,-1,-1,731987,-1,258750,682951,-1,-1,-1,-1,-1,-1,-1,1089,-1,177303,-1,50608,-1,-1,840579,-1,-1,-1,-1,644879,793783,759953,393347,-1,-1,-1,364270,732126,-1,308584,481978,683258,-1,-1,-1,302599,-1,-1,677132,-1,-1,79994,-1,697966,36330,741980,-1,307126,-1,-1,459344,976215,589895,792393,-1,-1,855622,-1,314724,910825,310313,-1,846014,-1,-1,-1,-1,-1,805890,843176,-1,449493,-1,-1,-1,533929,-1,-1,-1,-1,927409,256924,-1,728439,-1,76753,-1,-1,-1,-1,663866,-1,-1,-1,-1,-1,170723,-1,-1,964034,-1,-1,-1,16133,-1,-1,-1,-1,651494,-1,703261,-1,-1,-1,-1,192741,-1,88336,-1,-1,304398,871783,351959,326569,-1,-1,555542,251264,-1,-1,-1,137844,712900,-1,-1,537147,-1,901011,620575,-1,-1,-1,767038,-1,-1,-1,308015,-1,-1,-1,842659,131511,-1,-1,-1,209020,95254,849120,262632,186427,-1,33634,814545,906710,212817,-1,25694,66322,645935,607456,668552,-1,-1,-1,-1,-1,820126,-1,294788,-1,606494,-1,-1,-1,-1,74538,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,660389,946980,114809,-1,648929,835567,748262,-1,319742,-1,-1,993407,-1,-1,959811,765500,-1,748731,716738,630034,335790,-1,797596,-1,-1,-1,756630,236374,-1,772820,829912,-1,471048,690175,-1,771672,-1,-1,677718,708052,-1,-1,-1,-1,880232,-1,452344,154545,782668,282748,602187,-1,-1,450193,437665,448190,504659,-1,-1,785815,535400,-1,-1,441901,141744,-1,23845,814342,663515,388429,-1,-1,101867,710751,-1,900065,778560,-1,-1,432202,591514,-1,-1,183652,321143,753815,-1,411730,920633,-1,686318,-1,-1,133209,-1,25324,-1,755661,585051,-1,620120,-1,-1,-1,-1,171190,15151,-1,-1,281340,-1,-1,-1,823156,378586,-1,684310,-1,-1,-1,-1,943837,440443,576215,72542,534786,-1,-1,653707,-1,100916,-1,269177,466134,509644,615292,172380,620570,-1,-1,874928,312496,141579,-1,-1,628049,-1,-1,-1,-1,297381,-1,706851,555367,-1,-1,-1,376070,533826,-1,-1,-1,926267,-1,856806,83117,32889,457416,-1,110662,-1,-1,-1,524701,-1,800492,-1,-1,104476,240821,255466,-1,-1,-1,902669,-1,387215,898699,286409,101709,837292,-1,-1,-1,299277,442165,741643,290768,396913,-1,608147,-1,630506,-1,-1,-1,639979,529247,-1,-1,493882,-1,860451,-1,210696,-1,-1,124871,733037,-1,-1,476011,-1,287286,-1,299461,-1,-1,-1,-1,487458,-1,-1,954911,288309,-1,-1,362669,-1,-1,10974,779483,-1,406045,-1,-1,-1,-1,-1,117468,856426,-1,-1,116761,324287,256046,833577,626106,657303,-1,-1,-1,-1,-1,621522,-1,-1,122971,-1,497870,98832,-1,-1,226881,-1,779170,-1,802208,785947,-1,18463,-1,-1,845214,-1,-1,968217,283441,63665,836787,935609,-1,-1,380213,105322,258089,-1,810733,-1,-1,-1,63898,429923,-1,694265,736345,-1,-1,-1,534010,953161,474258,-1,-1,407925,294320,711185,-1,317099,195681,-1,-1,701747,890183,15294,-1,544431,800888,-1,-1,818060,-1,138368,775517,-1,487202,551354,390932,646558,834396,615495,420059,-1,-1,377639,842990,-1,-1,464332,-1,593343,81746,-1,-1,-1,-1,886556,881503,574288,-1,163415,-1,-1,-1,207673,683233,-1,511793,99620,-1,399846,350866,486862,977742,99500,378100,-1,-1,334077,-1,191742,102385,982077,-1,375733,634682,439947,-1,-1,116457,-1,688063,16054,-1,-1,745488,462236,903954,651978,-1,52177,-1,156914,589250,776255,-1,-1,463374,334446,-1,-1,561835,-1,-1,336347,-1,-1,-1,935402,-1,613890,439012,-1,-1,521808,685631,-1,445715,-1,242988,404548,438727,47580,-1,412874,544279,-1,-1,-1,731854,-1,782182,787455,300126,108101,874916,90099,217478,416951,87044,-1,-1,438043,143488,808969,443005,953323,106629,-1,-1,-1,-1,-1,-1,394619,-1,263701,-1,515740,-1,-1,-1,420478,-1,-1,564556,-1,-1,342550,-1,514692,328367,-1,141761,-1,415858,263910,449434,-1,141801,386142,279012,243134,311836,-1,790980,23942,-1,-1,550209,-1,849447,-1,708509,613546,911838,-1,581959,-1,-1,210528,785842,156179,-1,-1,362479,-1,-1,605461,-1,576721,928518,853436,-1,283898,-1,842219,259752,-1,-1,635068,-1,76617,-1,-1,-1,933663,132660,-1,220779,-1,321087,23045,672953,-1,59867,-1,559746,260102,-1,433426,125312,160034,-1,-1,-1,233403,329850,510796,946567,-1,-1,-1,580762,494963,-1,-1,-1,867000,700793,-1,-1,749377,-1,360829,838308,491271,170042,571157,433142,-1,-1,502353,-1,73994,371518,966452,-1,-1,-1,-1,-1,541874,227237,-1,791005,-1,-1,522668,-1,861536,653405,10595,140617,210178,-1,-1,-1,-1,745454,412417,-1,51177,-1,571908,106347,-1,443648,560952,33004,706937,663738,-1,-1,615817,403800,-1,40279,-1,589327,-1,715971,641515,-1,-1,785302,369949,13417,391661,359071,607944,-1,-1,883503,182768,569388,-1,-1,-1,-1,301812,-1,-1,-1,289307,213603,659622,-1,893905,-1,-1,-1,-1,-1,681155,-1,921623,998582,-1,-1,17021,-1,-1,300591,85098,-1,829636,-1,786172,741353,411754,-1,-1,905175,-1,897774,-1,-1,-1,231158,498679,-1,883482,-1,-1,-1,177180,-1,-1,820934,619428,267323,-1,-1,-1,-1,461127,-1,747468,-1,-1,-1,-1,29818,125072,682210,765256,-1,-1,60584,-1,-1,830185,594936,-1,753286,600470,102220,-1,373148,154946,135592,-1,482877,682113,579798,795038,-1,865019,470574,967703,-1,219633,532047,-1,458763,-1,479063,665089,392121,-1,-1,-1,200165,640211,371515,499859,-1,-1,-1,-1,-1,296777,24255,-1,429194,-1,-1,902501,-1,-1,516375,514875,-1,799919,-1,-1,-1,-1,-1,484453,449992,-1,842932,374751,565887,229496,787024,373590,-1,-1,-1,123235,30296,579093,-1,-1,-1,-1,798156,827212,734425,-1,-1,185865,729326,-1,837244,754549,630859,-1,-1,588394,854418,317939,-1,858946,101748,689651,948780,-1,-1,382520,410179,-1,-1,-1,501615,613375,-1,653616,-1,824805,-1,171181,773531,-1,-1,207687,-1,-1,-1,-1,-1,-1,-1,922908,-1,631559,-1,-1,877038,-1,811468,-1,549078,344495,369564,579101,388101,-1,748787,420549,141463,-1,76923,-1,251999,-1,-1,57904,-1,225302,-1,-1,-1,237848,-1,-1,-1,-1,545000,717105,-1,-1,-1,-1,-1,809032,640948,-1,-1,334390,100125,127225,515932,896469,-1,850457,-1,252923,-1,-1,76030,596920,-1,-1,-1,-1,754790,-1,313264,-1,-1,-1,713024,-1,141956,920153,-1,766751,-1,-1,-1,-1,-1,692551,596207,-1,-1,-1,-1,-1,-1,313498,717413,-1,-1,-1,612884,-1,492610,935916,722349,864307,-1,-1,-1,627082,857236,-1,-1,420544,79123,464289,-1,311319,-1,-1,-1,440603,320350,204010,-1,940481,-1,45803,-1,-1,477890,-1,-1,40160,-1,-1,-1,788935,-1,-1,940031,-1,957560,186217,720493,800101,-1,-1,-1,-1,-1,-1,-1,606875,-1,11559,65417,-1,121455,201674,499232,915094,-1,-1,224159,174754,947627,536742,645466,-1,-1,694966,-1,-1,31930,-1,947747,-1,-1,-1,500621,836167,73707,568990,-1,18980,-1,-1,-1,-1,-1,-1,-1,661954,218566,-1,917466,-1,702468,19496,784879,729838,-1,-1,-1,898642,-1,-1,-1,149028,505179,-1,-1,315621,91631,-1,-1,747155,-1,-1,-1,143347,-1,787648,968114,-1,773929,875618,-1,245485,-1,122040,600864,168912,415302,-1,539510,-1,-1,-1,299255,-1,-1,432689,-1,588640,-1,-1,476448,-1,365710,941395,-1,-1,-1,147144,-1,398784,442483,-1,-1,706854,414246,929399,-1,13740,-1,661919,-1,715492,500171,-1,745208,937786,264620,-1,-1,-1,-1,306019,317278,-1,283793,-1,176792,231122,279862,-1,-1,470414,43671,745644,-1,719879,-1,523936,223052,-1,970702,986431,428817,-1,-1,945153,760623,388671,-1,280713,80876,55024,-1,-1,747454,-1,278108,394007,-1,-1,-1,224771,-1,356948,346783,868002,-1,-1,664642,-1,99410,-1,-1,991093,-1,756206,513495,-1,-1,-1,-1,116253,910563,-1,-1,-1,-1,-1,-1,-1,-1,986841,532580,-1,108592,-1,806386,-1,425861,521365,169560,-1,-1,828130,-1,854558,242635,-1,-1,480610,-1,450974,-1,-1,-1,289173,565524,206509,-1,-1,-1,-1,586046,349381,949925,-1,-1,-1,-1,-1,-1,656822,102214,-1,-1,-1,509045,-1,-1,-1,388601,-1,701476,-1,-1,413008,886963,-1,-1,342926,271608,-1,-1,-1,-1,524421,517775,-1,-1,-1,-1,-1,-1,-1,-1,721524,533776,88090,863080,687373,-1,525188,-1,367437,574717,711972,959323,-1,-1,260208,-1,-1,878346,-1,998029,489336,-1,832376,778414,-1,-1,-1,773853,-1,-1,-1,-1,-1,781058,919613,92377,78768,-1,-1,-1,153898,158365,-1,119719,-1,585523,-1,569151,-1,-1,-1,270774,247433,877270,-1,-1,-1,916847,-1,-1,232033,989976,-1,-1,-1,867605,248422,-1,389277,-1,634978,506491,29212,-1,-1,110359,801157,-1,-1,-1,309567,-1,108086,418880,471212,-1,303624,708876,-1,464199,-1,-1,200878,699001,-1,-1,-1,662261,919225,687059,806379,312401,152480,-1,315509,-1,586502,935279,-1,35504,74634,63627,342203,358006,-1,-1,-1,688363,-1,-1,818638,984505,743127,-1,-1,-1,994692,-1,-1,-1,-1,-1,145866,369128,462029,-1,-1,-1,-1,222059,213112,903596,-1,-1,-1,740413,604978,813266,470268,411475,285874,-1,672909,-1,612088,-1,740218,-1,403409,-1,986574,430787,-1,-1,979929,54048,-1,894811,-1,74286,798070,-1,480178,634202,-1,-1,30607,-1,-1,-1,-1,622201,-1,311130,-1,317089,-1,35173,259006,-1,302329,-1,-1,473221,731011,352394,-1,-1,27268,775034,-1,705412,-1,403873,-1,-1,166959,727619,-1,991842,406556,-1,776154,562522,295433,855055,819119,509996,73013,734981,315585,-1,367036,153979,-1,-1,-1,585930,168153,90539,-1,539281,-1,-1,301682,657371,771157,984541,-1,519752,-1,-1,-1,-1,-1,923641,-1,690251,-1,641877,-1,749735,662028,244188,726393,230655,519628,284995,106398,490450,-1,301331,-1,935108,-1,-1,183160,-1,615697,-1,-1,249450,-1,883196,379627,957840,78760,769962,-1,637600,-1,-1,454102,-1,305588,689992,-1,-1,158506,69934,768040,-1,836264,-1,-1,949276,7083,-1,-1,165567,-1,138034,913796,-1,-1,743041,606212,32402,-1,-1,73340,-1,-1,408213,-1,-1,679719,-1,-1,-1,487486,381197,368871,-1,-1,659308,931314,922289,-1,71778,701220,-1,-1,221670,16186,131418,-1,-1,996965,-1,527722,53326,358093,859811,674420,-1,-1,188918,679450,-1,929163,766310,452406,654996,525111,838734,654246,-1,179594,199350,-1,746882,837368,566903,337467,192706,535869,-1,-1,331767,336124,923654,-1,-1,272676,-1,173842,367412,-1,-1,621590,-1,420112,-1,877966,-1,121146,-1,144852,234260,-1,671126,-1,-1,619763,-1,810683,-1,-1,-1,-1,-1,-1,-1,472577,366367,66234,-1,267134,711690,-1,-1,113224,-1,-1,-1,-1,191523,-1,473656,322368,537562,988411,-1,829655,-1,-1,935973,313716,-1,-1,-1,400447,-1,-1,-1,349111,-1,-1,-1,452191,943099,-1,-1,951050,-1,-1,33177,561217,-1,454287,-1,-1,-1,843594,942154,612020,-1,205487,-1,221295,-1,-1,301942,36796,-1,186721,-1,-1,136138,157915,-1,-1,-1,-1,-1,-1,935091,270360,-1,983491,755116,-1,674324,-1,232056,-1,-1,-1,824533,921856,-1,575825,-1,277812,-1,-1,-1,668875,-1,-1,-1,748474,778340,879289,-1,-1,-1,343847,-1,521729,-1,533196,828849,876797,-1,25158,-1,-1,-1,927145,-1,-1,47188,-1,60729,462083,-1,-1,-1,525970,87612,-1,-1,329041,435514,926477,823001,-1,308324,528123,-1,914292,-1,-1,-1,851057,989554,873580,444735,783636,780077,-1,-1,-1,467373,-1,-1,93053,-1,-1,-1,-1,-1,518302,571112,575469,-1,-1,162350,87826,-1,70131,176033,462964,958288,-1,-1,-1,-1,780233,658730,186975,-1,-1,-1,-1,-1,-1,-1,464950,-1,-1,221719,991020,367027,149149,-1,248725,242084,-1,126649,248449,-1,60895,-1,-1,172993,-1,766860,251747,-1,899680,290867,479337,-1,854284,-1,951474,-1,-1,898207,-1,880091,867742,770129,204747,490460,-1,961669,-1,756613,619808,-1,-1,-1,-1,-1,-1,326534,630776,-1,460796,-1,381321,338375,-1,359969,-1,264377,401866,576979,-1,-1,556883,-1,-1,-1,-1,-1,30416,-1,-1,-1,123042,210742,351473,-1,-1,558450,-1,-1,-1,-1,950691,446650,-1,498472,84387,762567,653935,-1,885856,99277,224404,-1,394980,-1,624749,-1,-1,722528,-1,909430,-1,-1,65039,-1,571718,591508,617068,-1,-1,195603,564126,-1,-1,430642,-1,-1,261048,424737,-1,-1,-1,211769,161599,900428,665005,-1,565025,-1,-1,615833,-1,99642,-1,-1,96952,138925,-1,828296,-1,-1,-1,-1,835321,-1,465043,-1,599011,396892,239837,677246,540014,-1,-1,249441,646519,-1,562934,283436,866356,-1,900804,178884,101707,812134,-1,-1,-1,-1,91100,430294,-1,322640,685652,609824,-1,-1,973539,-1,280942,-1,-1,490027,-1,-1,-1,6466,948148,-1,-1,232427,-1,316985,75698,-1,140008,269901,-1,-1,-1,-1,317321,995534,30143,-1,-1,814287,-1,552071,317109,-1,179908,46220,-1,-1,-1,882045,-1,-1,-1,836600,-1,-1,669378,488236,608858,-1,228116,-1,844509,336768,-1,-1,785520,-1,36671,-1,490697,-1,-1,138671,-1,-1,79649,-1,397101,-1,-1,958705,-1,-1,68749,304244,-1,-1,-1,828861,783323,128355,-1,-1,222457,-1,-1,360207,270854,-1,-1,140914,-1,665712,-1,-1,-1,-1,793917,-1,-1,-1,749461,2800,-1,-1,-1,-1,-1,450330,615238,600917,992963,780144,65816,698525,958458,-1,-1,-1,-1,452282,38574,-1,783464,-1,-1,940742,-1,809186,557040,-1,953173,191719,405659,308042,-1,955501,-1,-1,-1,-1,-1,-1,140691,640377,169735,-1,-1,597198,-1,594534,624273,-1,-1,-1,56406,-1,-1,131644,496308,-1,924778,759611,749647,-1,173744,612207,309411,-1,6568,-1,261328,-1,-1,14169,-1,-1,957681,566955,842021,138905,1616,319812,-1,-1,-1,-1,398210,-1,347759,31609,409715,212196,-1,651913,-1,-1,-1,866255,-1,395741,480875,693828,-1,-1,753527,354196,-1,-1,-1,288944,-1,5622,844623,495171,-1,-1,333735,992549,-1,-1,-1,-1,-1,792299,-1,-1,845375,57230,-1,332633,215098,308767,474101,-1,-1,-1,-1,319310,-1,-1,826950,-1,770926,437878,-1,833123,-1,799154,-1,-1,-1,-1,-1,-1,-1,151665,570247,472509,124849,501362,-1,454974,-1,-1,247505,491329,-1,-1,114895,-1,824224,-1,-1,810323,731811,-1,-1,-1,-1,-1,-1,679943,-1,864479,693553,75894,-1,49955,-1,36591,-1,-1,851643,954603,332115,-1,877892,334980,830701,-1,-1,-1,-1,259435,-1,533475,972507,-1,496028,-1,-1,-1,-1,-1,722876,-1,558515,53107,146378,447387,373056,993772,216225,-1,-1,-1,-1,418385,-1,387096,-1,666256,101526,-1,-1,-1,185534,-1,341455,183573,854568,-1,744961,933655,-1,994158,388708,837226,490531,-1,-1,358524,829846,791412,215099,-1,238060,600307,-1,832894,-1,-1,-1,-1,-1,379394,-1,-1,-1,350154,-1,-1,966903,-1,-1,-1,959100,-1,-1,-1,-1,419547,210785,240877,-1,967277,-1,329147,710565,-1,402694,20652,113603,-1,-1,-1,-1,58253,-1,-1,574472,-1,404804,-1,-1,961172,-1,-1,87016,-1,186852,587436,809703,-1,-1,785145,-1,50717,-1,-1,641032,-1,705527,-1,332659,-1,-1,195742,841174,110630,-1,257348,-1,789752,556267,268664,669917,735260,-1,905662,658617,572968,583849,-1,681616,-1,-1,798875,-1,149378,996934,-1,-1,-1,-1,-1,-1,-1,-1,307178,573224,24110,-1,428274,-1,-1,-1,544006,846006,-1,-1,193529,-1,-1,606645,960858,-1,-1,-1,656474,740087,-1,-1,255182,-1,416765,370780,-1,623226,278134,453278,465616,276215,866793,444249,828028,475251,545454,-1,857219,-1,-1,-1,364961,508683,-1,966419,-1,190825,-1,489242,774778,825320,815527,-1,-1,-1,-1,927541,-1,-1,-1,-1,-1,9253,779185,-1,841613,208761,-1,-1,428298,-1,-1,-1,87861,959872,374369,-1,573819,124695,-1,-1,-1,-1,-1,593095,-1,13751,738718,64374,-1,650978,-1,15055,-1,-1,301439,792205,-1,-1,-1,433078,165934,-1,367514,3017,515081,-1,564462,-1,-1,-1,933002,-1,-1,-1,-1,643540,-1,572976,-1,-1,554065,446258,239590,-1,-1,-1,866613,-1,-1,-1,763653,-1,757808,-1,690467,227561,-1,323055,63655,-1,-1,-1,977068,424161,217472,-1,-1,-1,429980,912969,367504,-1,-1,894151,-1,581541,945349,239003,-1,813495,-1,326431,-1,-1,565181,671285,660786,53548,584011,395936,-1,-1,-1,458074,176144,-1,-1,294648,180972,-1,928606,-1,253203,-1,831798,-1,-1,455550,825930,59697,-1,416419,213638,-1,-1,-1,-1,-1,-1,263857,927786,-1,-1,65819,519781,-1,-1,915176,-1,490480,-1,-1,93304,550473,321008,-1,657527,-1,119733,-1,-1,91751,-1,-1,-1,624775,297169,319964,265798,-1,-1,191155,904271,119958,189722,390716,-1,-1,197518,27909,597249,695675,919007,927974,710800,937506,-1,-1,-1,-1,-1,-1,564448,-1,-1,958283,-1,107215,977939,34127,-1,76741,-1,203305,-1,892671,807114,-1,-1,-1,872418,742518,787929,167528,-1,496813,-1,-1,677130,-1,-1,637344,961409,-1,-1,531313,25421,-1,809496,944692,453649,373968,379398,-1,933278,994995,-1,-1,643135,173444,401661,961824,-1,482024,-1,-1,198719,137166,-1,-1,634820,-1,-1,-1,317747,269144,417695,-1,121485,616118,-1,193255,-1,704979,840039,436267,-1,658891,161728,235015,962941,720740,657268,789092,825187,-1,-1,230624,-1,414435,221182,53159,424113,-1,-1,-1,-1,-1,-1,-1,621002,-1,158264,-1,-1,-1,-1,-1,178905,-1,553395,-1,961002,-1,630246,333625,-1,676185,520243,-1,380680,-1,-1,-1,761935,644898,-1,875599,-1,-1,183127,518444,320181,435692,-1,85997,13929,-1,-1,473468,-1,627098,908233,435769,-1,192995,-1,754903,-1,-1,455439,479137,-1,-1,251008,296949,-1,-1,223573,556663,-1,-1,606096,-1,117997,-1,-1,-1,365020,-1,108402,459552,-1,333553,-1,-1,-1,-1,-1,-1,409775,-1,-1,783386,620776,-1,-1,951982,-1,-1,-1,-1,-1,-1,571885,-1,862828,-1,679871,-1,-1,-1,433999,671023,991746,94556,-1,105412,33017,452119,-1,537908,-1,-1,-1,45560,-1,-1,383996,-1,525664,-1,950013,270784,480101,-1,-1,-1,-1,702642,-1,-1,854786,-1,-1,890328,-1,666338,671996,637067,-1,-1,441637,728246,-1,-1,115673,882323,387255,597574,940157,-1,703566,48405,-1,-1,-1,-1,421370,-1,845982,570928,-1,-1,188833,-1,-1,411259,584628,531891,-1,-1,-1,-1,694377,-1,334234,-1,-1,-1,-1,979911,276232,430826,405476,630214,708918,-1,-1,-1,992938,79967,12482,972343,609441,381501,596671,342645,-1,324239,830842,454832,-1,-1,915313,-1,943931,-1,732481,-1,313174,-1,115674,513637,279566,835394,262040,-1,-1,-1,-1,-1,-1,-1,407179,711663,-1,-1,-1,309589,-1,995521,59498,57649,149612,-1,-1,793409,-1,282155,1200,-1,-1,-1,-1,-1,380429,472758,283952,-1,-1,-1,16938,995984,5706,47447,-1,-1,542511,-1,230386,835438,-1,275236,977750,-1,358400,676555,336046,131691,963622,-1,-1,692248,-1,364194,611354,-1,-1,-1,-1,580603,-1,-1,-1,697330,71755,709082,-1,-1,28803,-1,-1,819120,-1,-1,884027,734950,153330,-1,556032,-1,50340,145050,-1,904354,617564,797217,330984,266091,-1,288556,-1,-1,298603,328412,-1,-1,809365,-1,-1,-1,52629,570650,890352,841865,746597,548179,-1,-1,-1,-1,748804,-1,480020,766686,997799,189957,-1,-1,683105,934067,-1,255755,-1,937384,651525,643969,-1,-1,963792,-1,-1,546698,-1,-1,705487,151756,-1,-1,938868,-1,908115,-1,730065,-1,-1,-1,-1,-1,-1,-1,-1,-1,995384,387977,58151,859525,580176,785941,-1,825013,-1,73271,862989,-1,977244,746532,-1,923381,-1,965431,-1,714239,-1,377986,240906,-1,-1,-1,707588,469945,-1,317308,900968,792189,-1,147755,45559,-1,-1,-1,969547,-1,125479,-1,-1,801757,503407,-1,-1,-1,-1,-1,-1,599559,502381,-1,864911,455432,990133,-1,806940,781234,-1,898747,-1,-1,569155,-1,171504,913282,515080,-1,-1,239735,-1,-1,210533,183219,-1,825655,-1,-1,459179,-1,572350,954716,-1,217706,565073,278435,-1,253622,-1,-1,-1,784433,164974,-1,901933,307293,397852,924501,900680,-1,-1,-1,-1,931651,-1,-1,-1,-1,846288,415653,328871,-1,-1,664801,-1,-1,-1,155330,-1,-1,-1,-1,102741,264316,-1,12579,241241,269003,-1,-1,182333,-1,637085,-1,972989,-1,-1,380597,-1,-1,-1,-1,853268,-1,-1,939687,-1,191886,220408,-1,-1,85924,145799,-1,102638,-1,2415,-1,345836,824083,450695,-1,-1,477289,550672,-1,-1,-1,-1,417959,-1,604255,-1,361243,667365,163495,-1,168451,850321,299281,677628,181908,-1,-1,-1,144480,-1,452208,-1,-1,174857,-1,-1,444232,820665,-1,720971,-1,787854,43669,-1,-1,993084,911903,784651,-1,960707,305970,186887,737329,-1,-1,480825,479709,-1,195150,-1,-1,-1,-1,258256,-1,343657,-1,278855,-1,-1,637654,-1,384842,307576,-1,-1,-1,-1,-1,-1,-1,200779,265023,81523,-1,74332,-1,-1,762150,486102,-1,-1,117051,979031,-1,795985,748263,961384,-1,166340,-1,427043,-1,801200,-1,160036,729554,-1,491910,-1,-1,-1,-1,8909,339402,845587,-1,-1,758437,954390,516080,128124,-1,297330,-1,-1,206169,-1,-1,-1,-1,-1,339523,-1,-1,493936,401035,118438,-1,-1,-1,-1,-1,342138,496267,-1,-1,230586,892601,-1,-1,428559,461756,946234,-1,982723,-1,-1,743965,751739,824658,-1,604966,486824,220260,-1,-1,140219,-1,841465,410260,156083,645994,327028,-1,116098,972976,-1,-1,-1,-1,622540,-1,-1,-1,-1,552871,278812,-1,-1,106094,758932,767617,-1,185861,-1,-1,458534,390669,-1,-1,-1,384126,68199,22608,266117,640160,625881,-1,-1,-1,-1,8898,-1,854411,308321,478098,-1,-1,855126,-1,301947,725213,-1,-1,745886,-1,-1,785662,844399,-1,395133,-1,273922,-1,536896,254951,-1,-1,-1,913781,-1,-1,820036,-1,-1,-1,-1,-1,-1,-1,-1,814722,-1,505019,-1,-1,-1,567669,703112,594711,-1,502451,42882,-1,-1,-1,331817,544914,-1,-1,-1,-1,588246,393385,-1,538508,-1,-1,-1,-1,121394,-1,-1,-1,231829,-1,-1,-1,-1,154077,115477,692273,-1,-1,-1,562012,-1,-1,-1,-1,435066,504980,593850,250520,-1,-1,679266,-1,376193,172885,133533,-1,-1,-1,-1,228140,390807,643921,-1,-1,-1,-1,-1,176795,-1,-1,755772,298417,-1,844875,-1,-1,-1,-1,-1,633573,608562,124736,-1,550513,726709,687535,130949,-1,259614,-1,664985,-1,-1,205144,-1,360716,-1,363468,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,706176,-1,-1,506173,-1,388565,227164,130768,-1,-1,78964,-1,473099,-1,-1,-1,-1,555607,625264,564177,-1,-1,602042,-1,221542,62932,846220,633865,304374,-1,-1,482399,-1,96548,-1,-1,-1,-1,290405,-1,-1,-1,184917,-1,148123,-1,593458,131894,-1,-1,-1,-1,-1,612496,789513,139350,-1,-1,-1,291041,-1,-1,514825,871049,143743,-1,-1,-1,-1,-1,-1,-1,-1,957691,928702,-1,-1,-1,-1,-1,777367,-1,501902,-1,988944,-1,-1,-1,-1,383636,133377,163631,-1,-1,593323,-1,-1,87173,-1,185440,672546,721800,-1,795561,-1,-1,200503,135492,616518,-1,-1,-1,404731,-1,-1,853467,158060,-1,906258,-1,-1,224234,205723,185191,-1,804706,-1,-1,-1,-1,-1,588705,29681,616619,173611,42985,593463,-1,764146,-1,-1,-1,-1,632337,943751,-1,-1,-1,-1,-1,775627,563856,648234,578086,-1,-1,-1,350836,21846,-1,386033,220258,-1,-1,599721,857669,-1,838714,297769,467477,193129,-1,-1,116919,165823,928712,833564,-1,763852,-1,-1,-1,184707,-1,22682,177706,-1,-1,-1,-1,543377,473178,11399,141293,-1,489558,-1,526657,391033,-1,-1,-1,700813,620685,-1,809735,529210,-1,-1,54016,413887,-1,270928,794777,-1,-1,841825,-1,635741,104416,581188,-1,-1,-1,820140,-1,437649,870124,-1,776615,491241,-1,72479,-1,-1,-1,344336,833240,436707,862356,-1,-1,-1,647042,955597,624953,408357,-1,-1,841781,586304,-1,-1,-1,-1,681309,459584,-1,715668,-1,-1,420985,-1,359152,-1,190859,-1,657601,730382,305373,-1,355664,-1,542718,66518,386256,75355,-1,658202,511918,130610,744864,774452,205266,521169,989393,-1,-1,101515,105348,-1,-1,-1,95158,-1,301422,869686,-1,-1,377188,845637,-1,526455,-1,996608,220794,892357,-1,134934,176623,255395,-1,444788,-1,-1,-1,-1,-1,-1,60577,-1,-1,-1,870121,573113,294570,-1,753041,206513,667308,52692,-1,-1,-1,225376,-1,-1,808139,581153,-1,-1,335730,346947,726234,-1,-1,181158,62686,681986,45044,375038,259714,-1,-1,370036,-1,561706,-1,-1,-1,608146,226654,-1,-1,978936,-1,102804,953549,404870,-1,378080,-1,474194,499373,310573,-1,454076,-1,-1,-1,66571,637234,653015,-1,-1,610434,874262,130300,-1,619159,-1,-1,902744,-1,151314,694206,914490,-1,-1,319651,841279,-1,-1,-1,377119,-1,118562,424157,244640,673544,819812,590081,-1,863821,969539,136715,504806,-1,-1,527835,475499,-1,-1,-1,857291,-1,-1,844767,-1,-1,-1,-1,347256,-1,18492,221727,-1,-1,854906,528780,62003,860648,-1,200375,-1,375012,-1,652173,917067,244984,441142,-1,24271,206909,396876,-1,-1,-1,-1,-1,741836,-1,933618,90717,210594,-1,35737,-1,983021,94533,183465,395222,-1,-1,650383,-1,-1,40936,922755,-1,43639,-1,-1,-1,548713,427023,-1,-1,463509,-1,595817,-1,264662,-1,559106,814452,448771,-1,-1,-1,-1,-1,-1,-1,-1,-1,345117,-1,3374,178199,249666,-1,449412,95045,-1,185360,261081,947518,-1,919650,98943,512138,803684,-1,-1,911481,564104,30455,-1,551322,-1,361837,-1,-1,-1,-1,539570,-1,-1,-1,556061,-1,-1,-1,798288,124858,164014,30787,-1,-1,192867,202089,772298,322002,-1,-1,-1,427018,-1,-1,318050,467085,-1,516100,931508,-1,436456,-1,158199,30859,70992,833490,115592,642345,-1,177725,320529,737800,340307,-1,727799,734615,74030,364727,-1,-1,929007,62171,251600,186964,418339,-1,-1,965637,-1,-1,-1,335199,905442,-1,778561,-1,817997,95553,-1,-1,-1,953333,102773,904325,464888,-1,76695,840515,481657,124203,-1,-1,256334,-1,711304,-1,-1,157671,-1,164379,331347,820840,-1,385645,491898,-1,-1,544417,-1,422338,291370,253731,-1,923006,-1,-1,-1,44356,-1,-1,-1,574513,-1,468350,-1,-1,-1,680452,145793,261790,626115,-1,-1,683980,435609,619814,113606,143459,342716,296701,-1,-1,305284,254661,163730,585191,-1,892000,-1,-1,200694,398601,139580,3687,-1,-1,564565,225460,2398,-1,-1,358038,-1,-1,-1,-1,-1,-1,74423,560055,285223,592428,-1,529129,532638,485319,378260,-1,-1,-1,524007,-1,-1,-1,722587,954537,-1,-1,-1,-1,710369,-1,-1,-1,-1,-1,228920,-1,-1,824470,60110,-1,651327,972458,-1,825764,477052,-1,-1,237466,437075,-1,16836,382686,576308,965770,-1,125696,473447,-1,471688,750488,-1,-1,351454,889297,-1,-1,128926,-1,-1,-1,387959,94103,122674,966641,-1,-1,-1,240240,896104,607586,905134,-1,777503,-1,204713,-1,326899,792934,626048,368412,-1,-1,882317,-1,981667,-1,-1,780100,-1,-1,408455,767781,-1,-1,632853,347030,125952,-1,-1,421529,115598,127820,852103,901667,-1,-1,942391,489523,-1,497389,-1,-1,-1,678421,986925,-1,893807,-1,897830,-1,-1,506702,-1,-1,624186,164367,-1,177569,-1,693388,803320,612963,-1,-1,18035,297373,-1,-1,301285,936902,-1,16802,988233,-1,-1,997540,176419,-1,-1,-1,-1,439445,-1,-1,268503,39377,-1,-1,303076,962216,-1,-1,116768,726809,-1,307468,714800,-1,-1,931708,497984,161998,-1,379208,54168,857867,835075,542280,526521,-1,-1,-1,368067,712844,-1,-1,-1,-1,53235,404506,547980,-1,985297,136066,950341,5411,-1,395891,579149,-1,-1,-1,-1,-1,117937,841253,138315,-1,751949,-1,707983,965719,-1,86269,-1,643613,-1,-1,-1,99513,-1,-1,-1,568529,-1,-1,-1,-1,703941,-1,241376,572694,953019,-1,-1,765220,-1,-1,187292,-1,317877,-1,735675,394764,-1,-1,656402,-1,161388,-1,-1,325058,100845,655691,-1,-1,-1,-1,112399,-1,-1,533721,105019,-1,965581,78548,-1,-1,809176,-1,518359,55335,557738,574036,532298,-1,-1,-1,17022,665441,621473,587714,-1,62902,-1,970007,-1,-1,-1,974454,117572,433898,-1,657084,37508,448880,-1,217320,788765,17746,-1,-1,760300,507739,698105,178956,321757,-1,-1,-1,-1,-1,-1,460181,-1,155623,555466,9502,74069,-1,540411,794361,-1,814148,718357,-1,102477,-1,-1,744935,206005,-1,52017,-1,-1,-1,-1,441076,40904,317577,318678,-1,-1,900502,866957,-1,804076,433684,-1,-1,407647,436366,821877,-1,534955,807061,974263,187041,988583,439684,966056,636714,-1,780041,-1,-1,937684,-1,-1,-1,41546,-1,-1,-1,-1,-1,-1,-1,663392,-1,-1,-1,986485,198317,3285,379015,-1,181899,284567,-1,660925,-1,779722,546293,747668,-1,-1,-1,276532,-1,-1,394650,-1,-1,-1,145207,465447,-1,-1,-1,493912,294313,-1,-1,59173,-1,593776,657595,744568,-1,509492,-1,747904,322343,61617,-1,604059,848918,-1,-1,-1,-1,599919,677996,148233,-1,297239,293421,-1,492796,155142,-1,-1,991487,-1,183775,-1,-1,-1,722419,534021,93317,-1,-1,397767,-1,612467,-1,-1,-1,-1,117163,-1,-1,166543,121221,-1,204034,-1,-1,-1,319240,-1,880128,-1,-1,530582,200146,-1,-1,-1,439162,-1,474541,-1,-1,372573,294365,-1,-1,-1,-1,499060,466274,204320,-1,-1,221998,-1,-1,-1,-1,-1,-1,-1,640026,-1,274507,907451,222163,-1,513060,-1,-1,338897,-1,-1,371752,132985,-1,278140,597075,-1,-1,-1,-1,10873,-1,582834,972619,924310,831988,558038,-1,-1,407057,248528,-1,-1,16630,124207,-1,-1,764295,291732,-1,-1,77473,520936,931010,337767,338676,665894,-1,-1,-1,410493,191028,-1,592716,-1,798294,7699,-1,-1,700177,464435,498462,253330,-1,-1,235119,-1,-1,590549,-1,399031,-1,613766,-1,-1,-1,-1,-1,-1,-1,-1,-1,47253,-1,21509,-1,482057,57587,625274,-1,-1,791981,-1,653595,-1,32427,803531,53484,494533,893434,76957,-1,836362,-1,-1,-1,-1,-1,-1,-1,-1,431395,459899,-1,-1,-1,-1,285890,-1,-1,-1,-1,-1,-1,979206,-1,-1,796482,-1,-1,452490,928503,915145,812553,-1,-1,-1,4665,501671,-1,-1,870529,-1,-1,-1,-1,-1,-1,451869,19045,473336,-1,397324,158679,-1,-1,-1,-1,-1,827717,422367,-1,-1,-1,266086,-1,811200,417411,865189,-1,112086,-1,-1,696389,503197,-1,944440,662552,754765,165055,-1,-1,-1,-1,370695,-1,401665,681932,-1,926682,-1,971933,-1,157507,788808,-1,-1,-1,-1,545672,-1,-1,-1,962574,600016,987649,-1,-1,297804,939176,481450,752178,98110,670677,611695,-1,12733,30404,80337,-1,279604,179879,-1,-1,909205,570739,-1,-1,737299,916998,-1,798505,-1,-1,246787,715105,-1,-1,-1,522999,513994,50454,784222,-1,-1,-1,875090,610772,539067,-1,423379,-1,44621,-1,-1,-1,504389,-1,969557,-1,122479,-1,-1,822402,702865,-1,-1,212117,972288,-1,-1,2397,-1,-1,-1,97635,-1,303581,-1,-1,-1,-1,667485,389723,-1,-1,497357,-1,265434,782477,-1,-1,979762,733965,21174,-1,221760,593936,-1,-1,815067,-1,640518,76517,654882,-1,137713,-1,608769,746220,660551,-1,963581,700443,497163,-1,-1,964844,801317,-1,297109,-1,244768,570328,527304,409955,296148,-1,-1,487741,-1,-1,46486,103406,119360,215240,-1,-1,-1,861517,390233,163192,310322,-1,725193,185268,365661,-1,-1,974060,272157,345184,-1,972351,-1,538636,842622,-1,976160,580153,-1,460316,-1,-1,-1,639518,-1,164630,-1,924824,-1,273254,-1,-1,792931,-1,-1,975106,-1,-1,-1,-1,662901,-1,-1,-1,-1,747759,745890,66821,193331,635763,940365,-1,871072,-1,353596,-1,-1,54226,-1,625193,7737,461452,-1,-1,220991,-1,243232,-1,-1,-1,-1,-1,183721,-1,199226,780008,-1,-1,-1,-1,-1,-1,245111,-1,-1,-1,82630,538926,318344,-1,666040,621886,-1,925806,-1,124619,-1,-1,-1,611756,436961,-1,-1,490171,-1,54820,460057,-1,372396,-1,227905,792166,60456,-1,-1,805235,598043,657535,-1,101951,635076,68149,-1,-1,-1,969324,688897,-1,-1,691771,-1,611171,583297,763717,-1,-1,929308,-1,-1,-1,469069,-1,29976,602228,584931,-1,27559,-1,609377,-1,-1,560804,-1,572902,-1,68731,950226,-1,-1,552165,-1,497181,-1,955954,-1,812281,752768,699753,99315,863192,-1,-1,473300,-1,-1,920924,-1,-1,934289,-1,638721,625995,-1,868681,173762,-1,-1,756625,-1,995828,972598,35124,953960,64418,-1,875586,-1,847551,-1,-1,-1,967859,364998,129316,710372,7017,364281,-1,557430,-1,947286,-1,-1,334999,-1,-1,-1,-1,-1,-1,579457,-1,-1,307184,781237,783829,-1,-1,-1,925571,-1,-1,278662,327366,817432,277039,21365,701558,-1,803867,692534,753156,-1,494015,-1,-1,-1,885708,760267,-1,250719,485044,265047,405930,-1,308212,-1,879115,-1,752476,965183,-1,-1,117208,-1,776014,824317,489610,799469,-1,-1,370239,-1,-1,-1,43138,74773,-1,-1,749441,457269,393252,15759,257861,-1,728686,-1,-1,-1,-1,-1,-1,790114,588253,-1,-1,-1,-1,-1,358667,-1,68189,67656,-1,-1,680420,-1,890260,68474,38641,476294,850859,799644,-1,-1,-1,707192,-1,389524,903476,260526,-1,74072,-1,961267,946323,-1,832115,-1,232022,-1,447691,-1,737261,-1,948333,-1,-1,-1,894342,500418,909139,155687,-1,-1,755714,-1,418266,983186,950612,-1,-1,651657,994462,-1,-1,-1,92272,475627,-1,-1,-1,953405,763794,546211,44017,36979,927905,-1,74724,84684,232773,-1,699920,557626,188453,-1,-1,935155,-1,-1,532542,381021,-1,-1,-1,608920,-1,108927,625048,883139,460646,444177,900255,632299,548910,-1,527196,332090,-1,-1,-1,86352,-1,-1,-1,792805,-1,855938,-1,-1,201995,-1,-1,965525,-1,-1,148152,47955,722612,55997,837901,310314,963236,-1,537903,133257,-1,811274,-1,-1,-1,-1,-1,426633,-1,458140,-1,766193,629711,226573,30972,248158,-1,-1,-1,663303,-1,346732,-1,-1,335065,-1,-1,883861,-1,-1,400762,443562,726962,223900,428351,-1,283696,-1,-1,-1,981344,927243,-1,-1,-1,-1,-1,-1,-1,632149,-1,320013,-1,-1,-1,145706,-1,980320,-1,122460,938063,-1,236301,983566,553256,-1,653416,-1,-1,691016,732953,-1,449768,702538,-1,-1,486226,-1,658057,94914,-1,194982,-1,771644,788014,127614,-1,166229,-1,-1,-1,131026,865938,510143,-1,-1,-1,689327,361466,811201,973946,376821,-1,-1,-1,273779,-1,635292,-1,44427,-1,297252,-1,-1,935096,-1,-1,510402,886418,68135,936804,856855,-1,810256,492114,503418,723915,18810,-1,-1,-1,418685,29179,-1,911101,-1,386962,-1,-1,725981,-1,637809,-1,757616,286173,742803,870500,862446,585096,285997,-1,720549,-1,-1,250926,-1,857864,467225,188532,397307,-1,-1,-1,-1,-1,379816,-1,-1,-1,997176,-1,467250,392010,276608,120346,581618,-1,-1,448539,-1,755028,684858,-1,613612,-1,-1,621719,6306,86745,-1,-1,-1,-1,616234,910884,991109,-1,52964,-1,847485,620722,188967,-1,-1,394773,-1,912660,871546,448530,713958,-1,427506,70301,499778,655608,-1,-1,949760,-1,737043,936671,868264,660553,246720,-1,6759,-1,957494,-1,46825,-1,220901,690403,289952,-1,-1,542655,-1,931294,263514,753515,-1,764927,-1,152173,-1,-1,-1,221095,-1,479744,-1,785410,-1,925490,-1,86115,-1,747432,191334,-1,-1,735068,-1,-1,872876,26511,55970,611284,-1,792894,111057,-1,681584,-1,-1,388405,435170,968504,839185,463561,441713,-1,-1,85232,-1,421218,767742,883436,267680,-1,137811,727335,-1,-1,-1,-1,472696,-1,-1,-1,-1,-1,-1,993406,591843,-1,435508,-1,97137,244073,778748,584604,78093,-1,-1,330544,819455,401659,-1,-1,53686,735953,-1,-1,-1,-1,-1,-1,875873,-1,470938,-1,-1,70617,866003,-1,693460,-1,275417,986451,-1,450236,78245,701900,-1,892305,712541,362743,637738,-1,-1,-1,98955,-1,194764,64020,832687,-1,-1,-1,767449,391270,91130,-1,-1,-1,423405,-1,917996,628562,835419,61786,-1,490428,969227,-1,-1,-1,991563,847799,219024,-1,-1,-1,-1,503972,509939,247457,-1,-1,288530,-1,557483,-1,-1,215103,886012,501513,129726,-1,830290,950247,829559,-1,32765,-1,-1,-1,-1,-1,-1,709455,-1,-1,-1,804025,-1,-1,843069,565432,859514,-1,214764,-1,9318,-1,-1,44606,-1,613721,596760,-1,517833,-1,-1,-1,-1,938419,671508,-1,-1,-1,-1,-1,302315,156555,85616,-1,76922,-1,-1,-1,-1,363201,493876,-1,-1,-1,-1,258970,-1,-1,-1,950028,-1,32240,-1,459257,54967,-1,-1,-1,740741,-1,-1,159177,-1,362315,-1,-1,-1,953913,-1,-1,416116,-1,984994,231912,-1,876230,731502,572052,285145,694807,-1,-1,-1,-1,795977,170514,507115,-1,200414,489640,-1,310533,811318,207763,70853,-1,-1,-1,-1,-1,-1,-1,561696,172902,-1,-1,-1,-1,-1,-1,611322,-1,333801,452068,238017,-1,867571,376760,917796,890412,969949,-1,-1,-1,-1,630769,-1,-1,887358,-1,394323,317587,-1,900330,-1,-1,-1,589267,292060,234512,-1,475959,-1,395611,471293,-1,-1,-1,-1,240711,-1,-1,-1,-1,789549,67770,289891,-1,-1,271937,806227,245240,-1,-1,248310,114382,-1,-1,-1,741,-1,698767,859416,44730,707596,-1,137785,15958,21560,-1,616995,282006,763400,-1,823031,547047,-1,746419,-1,371105,538461,-1,-1,-1,-1,981133,843199,-1,580194,-1,240083,798051,-1,-1,564788,-1,-1,989217,805549,801568,58055,-1,-1,673303,-1,782141,-1,170890,-1,302466,-1,-1,-1,478232,470272,331771,674203,888058,528398,-1,359423,497418,526234,588804,-1,-1,618750,51406,-1,286356,769435,843708,-1,616874,-1,779675,465740,-1,827083,-1,867978,325549,-1,-1,990636,-1,185546,160576,-1,-1,-1,728995,571488,-1,855357,785171,-1,841220,611849,-1,-1,-1,-1,660255,-1,211894,-1,-1,-1,-1,-1,217385,-1,954667,6072,-1,553840,-1,990930,143020,-1,968109,669313,797820,-1,-1,405146,-1,-1,99048,521780,-1,-1,867643,-1,-1,43672,-1,-1,363125,-1,-1,-1,615546,511093,515203,-1,815827,785950,683205,-1,-1,-1,178714,913477,-1,-1,-1,-1,207336,-1,-1,-1,647909,-1,-1,591041,-1,467890,-1,-1,-1,-1,527276,-1,-1,277181,-1,836991,652334,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,66550,502231,-1,114641,-1,-1,-1,-1,-1,-1,377538,-1,-1,597165,-1,623402,-1,147711,-1,684058,117849,-1,276843,89142,522886,-1,215602,-1,457265,-1,-1,-1,426581,473854,36906,-1,874953,-1,289587,-1,313270,190895,523677,842291,-1,841839,-1,-1,567441,434565,-1,203662,-1,849181,-1,196465,-1,-1,-1,459242,-1,-1,974707,740019,619009,-1,-1,103552,-1,237718,966021,-1,553545,-1,-1,434750,726977,-1,456904,559354,-1,747245,-1,-1,492142,-1,-1,916134,229473,-1,462541,322737,883112,42999,121443,-1,-1,-1,400180,-1,-1,-1,432747,-1,-1,833350,-1,-1,545864,72201,615953,-1,674515,192150,179678,708306,-1,254881,890519,-1,170105,-1,-1,-1,-1,449322,896967,-1,842895,618946,171477,979768,826305,-1,-1,874346,-1,-1,264897,783734,466630,956312,-1,-1,125049,657672,672851,-1,741493,-1,-1,85118,109819,498023,295006,-1,278825,472948,-1,69830,531487,801213,631839,-1,318924,-1,789237,-1,-1,263751,-1,756850,201696,-1,-1,-1,-1,311796,-1,-1,959120,-1,649661,517348,968895,-1,-1,979466,294438,811536,366793,-1,733942,886083,-1,695981,119565,-1,70210,-1,909488,-1,661187,948831,369337,865669,-1,315534,810676,443101,551359,196473,-1,-1,684171,-1,-1,-1,-1,-1,-1,-1,192838,-1,953561,-1,-1,981452,-1,838711,77342,465785,-1,781546,-1,-1,-1,-1,199677,-1,-1,484800,-1,-1,498197,-1,781695,811715,-1,-1,677935,748256,388741,-1,745354,591155,-1,-1,790467,-1,889907,-1,168651,-1,-1,848208,368624,-1,356117,207896,-1,-1,-1,-1,95459,-1,911033,738429,149098,608168,-1,-1,-1,887499,876933,391584,428740,-1,736713,-1,881302,-1,-1,-1,935208,133308,654592,702244,-1,-1,-1,493566,173399,885721,-1,-1,-1,257565,-1,516376,330216,747418,673445,-1,-1,-1,776783,-1,-1,-1,-1,-1,-1,-1,-1,702537,-1,300697,496689,390624,-1,32549,23700,837932,-1,-1,-1,-1,208697,-1,551886,479386,763791,558438,561592,-1,-1,-1,-1,762488,382069,825895,-1,316078,-1,-1,-1,776966,579773,898145,413788,-1,386163,542531,-1,178996,-1,646345,668204,-1,958399,674068,-1,627007,900561,712358,35705,443448,663516,-1,119554,-1,-1,-1,-1,64087,966047,-1,-1,272986,865258,709618,-1,-1,208234,-1,361961,624739,683817,-1,-1,782225,-1,-1,-1,843692,-1,669204,-1,654974,441361,800968,-1,-1,-1,-1,-1,270873,365599,-1,368661,443731,-1,-1,-1,-1,811273,783449,316633,-1,-1,-1,409188,-1,677856,269923,906342,984002,-1,-1,-1,-1,-1,-1,176385,-1,389946,-1,-1,-1,244205,-1,806773,58289,-1,270889,634893,-1,792767,368496,-1,640150,262119,84819,841786,-1,173194,205334,-1,640452,-1,-1,345100,607441,-1,403058,918972,405944,446148,-1,231734,-1,-1,140217,413181,66108,994867,-1,289649,854381,275852,678977,-1,-1,-1,858617,228633,537666,-1,-1,-1,328111,270175,-1,-1,642251,51603,692338,684181,930832,122145,420113,-1,550032,-1,220141,-1,440402,57187,916248,-1,701101,891085,-1,275850,166364,111527,-1,-1,-1,-1,331956,769391,83862,996578,210099,-1,-1,181326,671036,-1,61465,-1,-1,-1,433340,-1,-1,653972,506525,420391,57496,-1,414981,927134,376928,-1,660571,704199,34421,-1,-1,573749,91255,-1,254052,-1,-1,566004,-1,89677,-1,948485,-1,-1,620841,-1,725011,-1,-1,-1,-1,-1,457988,291833,-1,-1,-1,-1,-1,97127,100276,-1,-1,77357,971516,-1,-1,-1,-1,208557,729527,381769,548001,412339,4851,657046,-1,-1,-1,-1,-1,-1,734132,-1,-1,-1,-1,851250,-1,346370,762063,487820,-1,948256,809343,466097,-1,375861,454125,-1,241096,997270,569755,-1,446462,393818,-1,-1,904180,478208,906060,347140,572488,113805,-1,685686,-1,689843,529316,864503,164540,-1,-1,525587,-1,-1,348831,887047,-1,-1,284356,549934,-1,-1,-1,521040,911042,239166,179549,188153,982446,181927,-1,80820,-1,-1,-1,-1,-1,-1,511136,-1,524757,-1,-1,-1,-1,-1,161042,-1,-1,26662,205877,679288,666288,673026,-1,158546,-1,926152,856058,279179,-1,-1,-1,-1,970652,-1,94290,701422,-1,-1,-1,616627,399005,459287,-1,377293,445682,952733,-1,-1,-1,46984,-1,-1,-1,-1,264399,-1,350797,450963,703755,572450,-1,970567,-1,883206,-1,326362,-1,676250,282842,-1,-1,130476,-1,75545,859708,803269,-1,72275,-1,175317,537140,-1,-1,-1,-1,-1,232964,690987,-1,497592,495423,-1,297152,844764,249188,549215,-1,967557,906141,75903,198365,366939,-1,-1,-1,-1,-1,-1,-1,925180,3596,-1,414312,878529,-1,-1,-1,-1,-1,384259,593815,-1,927216,136117,-1,-1,848680,543709,-1,161060,-1,973337,867481,123535,106865,-1,-1,-1,-1,298517,157524,-1,250233,-1,533471,-1,-1,553899,-1,-1,-1,967829,993560,598741,443474,-1,-1,-1,-1,588637,732223,-1,757351,221935,889398,-1,-1,905083,-1,574626,465786,887134,97131,-1,984337,391856,-1,314368,106483,-1,842533,-1,54890,-1,998472,90822,84702,-1,-1,510183,-1,778250,-1,953318,375751,269456,-1,-1,-1,913833,578751,504732,558821,-1,-1,666005,-1,-1,143451,815775,670036,-1,318150,-1,-1,-1,816765,-1,-1,519229,-1,998467,512494,-1,509478,-1,-1,423243,-1,113252,-1,-1,-1,179044,547407,116791,514704,299216,-1,634035,-1,729933,471162,76323,-1,68589,-1,778074,-1,606522,-1,-1,701781,526671,242735,-1,963257,-1,86293,2518,-1,-1,-1,-1,-1,727257,-1,-1,144691,-1,-1,162724,-1,-1,-1,-1,89504,490383,-1,65571,-1,533176,280770,935610,-1,331211,971399,477621,96911,-1,419084,-1,-1,967022,-1,950572,-1,182159,-1,-1,-1,-1,-1,467917,533252,-1,-1,-1,-1,506414,972052,566413,-1,-1,248757,-1,366823,-1,-1,278013,796074,-1,-1,238932,681819,570214,-1,403954,26374,359198,-1,149502,-1,-1,369291,-1,661413,-1,888482,671405,-1,186275,-1,-1,940268,589542,400626,831010,33318,-1,529894,865713,167739,376661,-1,-1,-1,-1,544415,-1,577539,569024,859233,-1,674852,766831,-1,-1,-1,-1,-1,-1,-1,129772,-1,933669,-1,-1,466550,719121,-1,-1,615669,-1,-1,896722,817560,-1,-1,546499,-1,-1,-1,285417,117848,-1,-1,318010,-1,-1,685164,-1,-1,-1,269397,68839,-1,943834,765430,454981,598826,537465,929189,8996,-1,-1,16024,82091,-1,-1,-1,-1,446472,-1,-1,280350,-1,804582,-1,-1,79167,582874,-1,-1,-1,273183,-1,-1,-1,-1,-1,915043,43361,897964,708198,-1,-1,226481,-1,-1,-1,583941,224796,-1,-1,79664,238618,252533,653697,-1,208226,-1,908823,-1,-1,-1,314779,275374,-1,-1,-1,208087,336707,341577,816998,-1,-1,54932,706196,-1,791445,-1,-1,503705,-1,-1,-1,-1,592748,287858,-1,205182,85957,235252,282693,38340,-1,-1,-1,606199,261103,318369,271766,-1,598547,168353,742241,751963,650532,856071,-1,-1,-1,-1,427516,659488,88511,-1,174138,564456,748713,612445,-1,-1,690017,809675,452041,-1,-1,226145,530312,-1,764139,-1,-1,46859,-1,25569,-1,459210,756929,842959,982523,-1,399645,-1,-1,-1,498759,-1,834725,-1,-1,694718,-1,969621,809812,964565,-1,-1,-1,-1,-1,558151,429971,-1,-1,428435,875922,161101,905087,88001,313978,-1,-1,137601,-1,-1,-1,-1,-1,689310,-1,462925,-1,410954,-1,-1,-1,-1,-1,-1,-1,-1,189035,904784,-1,308913,657346,774176,89657,-1,353239,-1,417689,343198,-1,-1,902477,652965,-1,972833,439885,-1,-1,-1,557344,-1,927153,-1,527426,637278,-1,932907,-1,-1,573437,848180,-1,557864,-1,368295,127813,-1,-1,989398,113839,767958,678071,-1,918827,751837,32698,737384,-1,-1,529308,-1,519398,619723,-1,-1,703973,-1,786954,-1,327947,483240,358576,1486,-1,339872,-1,-1,992841,153843,-1,20148,762107,120330,104294,-1,-1,807534,882453,-1,-1,281716,-1,-1,-1,600168,-1,-1,-1,557950,-1,743231,329043,-1,-1,-1,-1,-1,997275,390892,908818,-1,650017,428855,978115,-1,964664,598131,-1,165774,176890,693920,345664,277682,-1,764571,47043,-1,-1,-1,-1,415032,519595,242874,-1,636683,329220,-1,-1,487217,-1,238680,-1,558442,-1,100130,940125,467755,47377,817625,-1,254577,128221,139721,-1,557710,502259,-1,-1,20714,494303,886511,488980,-1,-1,-1,248061,-1,254964,265521,276413,189129,61974,-1,-1,-1,774592,784410,-1,790886,-1,-1,-1,598794,-1,472999,633065,-1,-1,813142,724720,986847,437596,-1,-1,-1,961419,142542,-1,728744,256908,-1,-1,-1,-1,-1,988352,347810,881485,-1,-1,426957,-1,610003,585163,-1,250573,-1,742222,-1,570715,416373,195865,-1,-1,-1,-1,-1,-1,-1,-1,454404,335111,-1,-1,-1,-1,431170,-1,-1,-1,436478,-1,481320,82992,956725,-1,582880,-1,836195,602504,-1,556841,391105,-1,144993,66312,781270,-1,-1,-1,-1,996582,-1,642656,364959,-1,-1,-1,722113,-1,878278,-1,-1,-1,-1,-1,319064,946823,-1,-1,-1,-1,-1,-1,425949,975204,823581,459060,-1,254445,739618,3509,253748,847434,394098,862130,250227,49106,949148,-1,183124,-1,352563,181145,654376,906965,-1,-1,-1,459935,689564,107120,500076,-1,-1,179804,-1,-1,650621,-1,-1,-1,196378,-1,406020,-1,907324,148498,-1,-1,-1,747775,825104,611760,718812,-1,364967,536378,341152,-1,605178,841728,926008,728442,727581,-1,-1,162105,-1,-1,-1,371077,-1,-1,-1,-1,653585,736091,-1,-1,919833,-1,-1,-1,-1,-1,737273,642168,-1,-1,-1,-1,-1,-1,661470,-1,147076,-1,984711,-1,-1,-1,116981,-1,782293,-1,-1,-1,331806,-1,-1,523354,-1,-1,811108,626321,435023,619770,-1,-1,453886,993700,-1,-1,643014,-1,-1,-1,-1,607343,205324,-1,662982,659304,333925,-1,709011,50507,-1,228125,238543,744820,-1,-1,963953,520674,81384,26510,435735,-1,-1,978156,-1,-1,-1,-1,917599,-1,509550,-1,-1,568532,-1,-1,759407,-1,417921,-1,-1,-1,830762,960670,251161,744307,-1,814323,-1,427667,-1,-1,-1,311707,-1,383189,-1,582087,-1,-1,799850,-1,-1,665480,-1,-1,471758,-1,-1,-1,578304,339039,-1,-1,-1,-1,-1,401876,-1,-1,-1,-1,-1,639449,224412,290501,-1,-1,21710,-1,914879,-1,-1,-1,-1,148971,-1,-1,710864,-1,728557,-1,883342,102558,475417,577746,365475,-1,32814,730693,108026,362995,48234,-1,-1,58643,868625,-1,-1,-1,39103,283772,-1,657709,664251,-1,-1,758584,310940,801112,501740,539390,818033,845349,-1,-1,228497,-1,-1,460187,400614,-1,-1,-1,956324,-1,-1,745764,-1,770423,-1,421521,159144,-1,446730,-1,-1,-1,-1,-1,-1,455347,60782,114773,-1,-1,489625,470022,906558,-1,625977,-1,-1,-1,-1,107085,875667,-1,-1,-1,897220,-1,9281,-1,387543,-1,911236,-1,-1,823950,718662,433736,875506,405831,-1,-1,301798,787224,608597,-1,92484,-1,-1,780069,957835,808673,753018,-1,-1,-1,-1,-1,-1,347969,55967,-1,239816,192880,-1,-1,-1,790830,-1,-1,-1,105160,-1,853250,869186,-1,523241,690657,489712,-1,159716,585088,-1,-1,-1,-1,-1,952165,245750,-1,14888,-1,482437,220633,802826,-1,312764,962615,-1,651533,967422,518608,-1,113227,-1,-1,-1,439861,213388,992028,296470,-1,497048,982320,-1,147706,-1,-1,-1,748864,-1,-1,-1,63715,318711,-1,-1,862365,670004,-1,-1,-1,-1,202442,618404,757229,-1,-1,332987,93671,87132,-1,-1,744555,638152,636247,388518,-1,247709,859792,869731,973120,-1,600721,-1,-1,549890,384473,-1,210021,946237,-1,843468,-1,-1,-1,-1,11381,546980,-1,-1,-1,533859,16091,181219,-1,27256,293206,624456,-1,-1,598160,13215,-1,-1,251410,-1,85898,-1,873251,339618,-1,136766,-1,673914,-1,-1,110807,187242,861481,801093,638403,-1,-1,572596,86186,497025,641429,-1,603160,-1,702695,303914,-1,-1,209179,-1,-1,-1,811281,443682,213253,577466,96904,-1,-1,846181,-1,919974,-1,241083,-1,854294,-1,952993,-1,761943,803770,-1,-1,787214,-1,71487,582704,538734,-1,921103,738626,372996,967417,804177,-1,584037,-1,527107,-1,-1,-1,918735,-1,243635,-1,-1,762279,-1,815612,322336,-1,-1,522576,183383,-1,326898,205187,-1,-1,-1,-1,-1,-1,-1,494363,-1,-1,-1,155537,-1,798106,-1,242435,315552,394424,513510,509621,-1,-1,884271,992929,-1,196772,-1,-1,-1,509894,570542,450610,905053,441371,-1,-1,-1,-1,-1,-1,-1,-1,-1,952118,830748,-1,-1,-1,125403,465143,558504,-1,730530,838373,-1,368081,-1,780450,-1,-1,-1,515762,-1,586881,-1,-1,-1,-1,463377,410512,694317,-1,482889,6789,845307,-1,505038,-1,-1,-1,-1,944645,454923,938712,-1,-1,317410,890144,357828,453850,-1,549802,807906,-1,-1,947993,-1,-1,16188,-1,759321,290799,-1,-1,612695,603628,-1,-1,-1,452514,-1,849144,-1,-1,-1,485688,-1,-1,779920,-1,123056,816398,108901,-1,968663,382794,-1,-1,-1,-1,143675,307421,324669,232218,-1,-1,235874,994139,-1,832831,37518,-1,-1,13348,-1,-1,811761,-1,542874,311696,-1,-1,502366,118938,-1,763339,553816,374842,-1,-1,980479,146996,22258,-1,-1,-1,890236,70160,692484,-1,-1,-1,-1,-1,472661,662685,-1,912508,-1,-1,-1,303210,341421,582101,-1,656836,-1,-1,-1,869637,854012,-1,-1,855579,-1,255306,815951,803578,-1,-1,934678,571151,-1,-1,550830,655152,573804,153621,-1,813684,103891,-1,139666,-1,-1,523941,-1,947554,-1,-1,933362,529035,545907,-1,481062,746409,813906,-1,747538,757776,-1,297095,395428,-1,-1,-1,740720,75284,635869,287147,728876,-1,-1,84806,-1,478290,-1,110793,-1,-1,-1,-1,700249,-1,-1,-1,407900,142183,161671,-1,518013,-1,379936,-1,-1,751539,774264,295695,816258,-1,432709,-1,-1,865632,99136,-1,-1,216056,-1,-1,864468,-1,418920,339752,92832,-1,371690,693127,215215,882115,-1,-1,46067,674655,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,845252,807787,-1,279744,708138,-1,634500,-1,721532,221232,-1,938924,607570,-1,832979,695859,316904,-1,-1,854993,522862,-1,-1,-1,577254,577077,912420,-1,504562,-1,750791,739561,109309,364080,-1,-1,389321,-1,-1,-1,333671,234640,812639,-1,699510,-1,322133,-1,322934,-1,-1,-1,804201,189624,-1,798604,791898,-1,9337,710137,339127,-1,199100,-1,-1,-1,694897,-1,401835,436241,-1,-1,-1,138228,254332,246590,-1,495198,77254,-1,-1,-1,143188,141090,-1,891620,123935,-1,173993,421657,279912,737937,-1,453251,592933,785173,-1,829036,-1,353426,-1,-1,203101,-1,213076,-1,857935,-1,-1,-1,-1,637508,105378,-1,309507,-1,-1,-1,84251,-1,-1,814889,-1,614205,-1,-1,-1,-1,-1,932154,850223,402872,125693,2117,-1,-1,-1,436576,-1,-1,167158,-1,900790,699959,-1,-1,368688,605057,273084,527905,643690,-1,260579,-1,-1,525949,756441,411190,-1,-1,868540,-1,-1,-1,-1,709918,-1,611398,872387,819167,-1,-1,139330,-1,897792,828349,-1,599418,-1,-1,-1,248470,428968,898142,530655,-1,-1,589684,49339,-1,-1,107138,-1,-1,230063,-1,-1,-1,546680,674563,-1,190935,-1,-1,259557,130311,582369,206208,-1,718055,-1,812338,747050,488323,266421,294566,-1,-1,763805,423342,619652,762562,982559,357794,765578,-1,391478,-1,-1,-1,46403,-1,-1,985773,-1,643721,554429,-1,-1,-1,80899,-1,980645,-1,-1,588129,570400,360464,702459,-1,717447,-1,117206,102238,-1,-1,-1,-1,62138,-1,543410,-1,-1,595356,-1,357602,492234,-1,-1,-1,142922,227504,611702,-1,-1,453083,-1,636771,29372,-1,152695,-1,-1,170005,692323,257826,-1,-1,734034,-1,815249,-1,-1,-1,-1,775529,282827,-1,-1,271329,767667,102691,-1,1286,-1,530055,988425,364865,841420,681500,-1,-1,-1,193965,554340,550812,980759,-1,-1,823676,-1,-1,-1,158042,126809,160341,636822,613439,525938,579296,-1,-1,716575,-1,-1,-1,-1,803869,392095,912194,95030,-1,776248,629364,620227,954985,358624,489618,-1,-1,764801,-1,187911,-1,-1,455617,-1,-1,801380,-1,304038,266634,566463,864360,957293,-1,-1,321736,549467,-1,942645,764692,-1,803472,-1,-1,345090,-1,-1,-1,364224,343748,526311,469572,-1,308839,-1,322080,-1,-1,885097,-1,253086,239055,-1,-1,103023,-1,704554,319320,785655,193758,-1,-1,753803,-1,13528,876112,448784,-1,506327,-1,-1,828944,-1,67787,-1,-1,-1,-1,-1,617722,654280,623772,609772,-1,-1,-1,190908,-1,442361,-1,229804,292796,-1,387923,694711,-1,-1,-1,-1,687248,-1,96463,-1,774232,134205,149057,-1,-1,-1,271410,-1,-1,560808,888870,58896,761554,241341,80391,-1,143049,-1,932768,342279,-1,-1,62604,-1,610438,-1,767069,-1,390489,-1,-1,-1,-1,811129,-1,219198,-1,-1,-1,-1,-1,867885,625263,-1,-1,499495,-1,-1,702188,700783,-1,22857,-1,-1,-1,-1,289377,-1,-1,-1,-1,312660,705539,959244,-1,-1,-1,-1,104937,-1,795180,-1,-1,-1,-1,145789,-1,459111,957690,739956,326892,-1,-1,-1,-1,-1,-1,-1,609999,-1,-1,-1,-1,575411,423961,-1,-1,-1,-1,-1,125323,-1,-1,-1,361626,326565,-1,892435,-1,-1,759836,899743,581592,-1,-1,-1,-1,977227,-1,395904,698801,734767,5408,-1,-1,121407,-1,-1,551258,198742,205419,539687,180101,-1,-1,359750,971270,262193,922552,354572,-1,-1,357218,-1,653052,-1,-1,545917,112322,-1,-1,86934,37860,-1,858866,344372,880424,619379,-1,-1,-1,351831,-1,27524,-1,556782,-1,-1,702960,-1,-1,988043,-1,357462,-1,792414,876474,-1,-1,-1,954832,98425,-1,688142,963966,839667,463703,921693,-1,-1,80520,742319,205367,-1,177055,-1,-1,-1,-1,-1,778404,644993,-1,16820,-1,-1,-1,-1,474452,555628,-1,268507,-1,-1,559522,516919,743221,-1,-1,866838,276516,-1,-1,305886,433275,496471,510846,-1,685195,-1,406015,-1,641884,28051,-1,811640,763335,210209,-1,252617,218885,-1,-1,-1,688364,907084,500424,-1,-1,488777,-1,399756,-1,-1,721789,-1,-1,-1,458696,693465,47941,750025,-1,775060,290193,707650,165775,-1,119342,-1,402352,744856,717201,763586,660759,-1,-1,843662,307968,-1,-1,-1,-1,583823,420692,434082,-1,-1,88697,-1,999550,846776,-1,697192,249912,-1,390407,988160,-1,-1,-1,893916,-1,-1,139950,922910,-1,-1,-1,-1,-1,-1,528353,-1,938628,-1,495609,-1,774229,735311,-1,-1,-1,209566,-1,-1,745718,146404,-1,594562,507775,-1,-1,930925,429722,212494,-1,448809,769583,-1,499449,-1,783544,-1,881973,-1,187738,310123,-1,-1,-1,507771,-1,64657,790307,-1,-1,-1,179110,-1,518581,-1,689279,415579,-1,-1,526415,775082,942723,-1,-1,-1,149507,-1,229406,241270,-1,-1,399351,205684,-1,666418,501721,521118,653799,84774,-1,-1,572305,-1,-1,-1,428045,-1,751173,-1,99540,-1,-1,-1,864801,-1,488600,-1,886886,-1,-1,393649,-1,-1,-1,103973,334689,413404,238740,-1,823863,-1,-1,-1,-1,34279,324047,327836,794659,188412,210823,961396,58646,-1,439744,-1,-1,184046,390198,174977,-1,-1,-1,331031,689457,811497,-1,58453,-1,377197,774258,-1,-1,894950,506539,706328,133019,-1,951568,-1,-1,-1,-1,479641,936934,-1,201538,601989,-1,640186,-1,996739,411057,-1,286604,289654,-1,372584,-1,936759,-1,-1,443637,-1,-1,-1,-1,549116,64906,-1,685557,-1,732362,916822,-1,604438,54274,-1,497190,967558,-1,-1,320212,-1,431546,-1,-1,897845,856407,393508,-1,820172,421768,-1,502319,144070,-1,694329,514418,-1,-1,117421,512951,-1,-1,-1,-1,470410,678941,-1,878355,832293,-1,-1,868854,-1,-1,825723,682654,-1,-1,801668,-1,-1,-1,-1,-1,635284,4538,323025,-1,-1,-1,-1,-1,-1,845544,843247,-1,319374,595371,997752,958536,-1,756013,-1,-1,-1,364640,-1,223296,-1,-1,-1,740357,129788,-1,-1,502042,626771,-1,323326,-1,626063,308234,432097,-1,829313,-1,-1,81953,445875,-1,928823,967941,301555,702940,230263,-1,-1,-1,752321,641688,-1,445386,108087,632658,232130,-1,948813,509968,344040,336211,236551,999003,-1,387516,719475,388183,165362,-1,-1,338347,730478,220348,218995,147848,-1,143566,283269,455327,-1,-1,-1,-1,-1,601528,356989,-1,-1,592085,-1,494018,300684,733280,-1,-1,329365,-1,-1,75286,985317,732829,4302,801672,189900,-1,679649,255561,419706,-1,-1,471797,291751,-1,-1,-1,-1,-1,-1,-1,-1,213510,-1,-1,-1,818179,-1,-1,-1,47349,-1,-1,-1,121464,260157,-1,-1,258747,-1,589054,-1,-1,-1,-1,-1,-1,470213,531351,-1,-1,-1,-1,-1,-1,-1,-1,31422,519495,437598,632139,-1,-1,-1,141410,350340,-1,199995,-1,-1,500567,451536,528866,-1,386233,397332,-1,728907,-1,-1,-1,-1,-1,550016,393217,-1,-1,-1,778263,-1,-1,-1,583816,-1,-1,676246,-1,-1,-1,-1,874585,751601,-1,249641,821094,371860,859677,-1,-1,-1,-1,-1,188926,-1,713295,-1,804890,474856,-1,547966,475876,134085,291633,611202,660975,306857,-1,486709,-1,896368,-1,533594,-1,787192,-1,456216,-1,-1,-1,-1,-1,-1,-1,-1,130294,463003,-1,934118,-1,210559,-1,-1,-1,-1,-1,598648,-1,-1,-1,850947,102915,340421,477110,658046,281455,-1,695205,754464,-1,588262,-1,-1,-1,-1,27261,653011,-1,754361,723246,870550,911288,6066,878721,173978,358800,234761,963822,-1,899017,784363,428679,31896,717334,-1,-1,160937,-1,173192,440995,-1,-1,963568,-1,21776,-1,646407,-1,95746,-1,-1,-1,-1,896145,884633,-1,-1,-1,401260,-1,-1,963458,-1,342565,864579,-1,-1,186679,-1,374616,-1,785628,-1,-1,-1,-1,26996,-1,-1,-1,30444,-1,-1,520822,-1,619864,-1,868490,880051,131403,688205,274135,-1,-1,-1,687955,497937,223857,338090,2149,-1,-1,-1,20500,-1,-1,324317,988226,836204,241492,283206,900978,840832,-1,-1,-1,392230,175208,516079,868109,-1,776033,-1,-1,-1,694337,-1,721228,609659,-1,564261,-1,-1,72423,551843,-1,576830,-1,-1,-1,-1,501472,953528,-1,-1,570398,896066,783201,192524,801469,852143,-1,739144,836004,642962,-1,-1,-1,803318,45274,175060,80789,-1,-1,-1,-1,819334,-1,16161,29584,546617,298770,-1,972949,-1,603240,713979,259548,-1,470283,-1,-1,-1,-1,895270,-1,-1,-1,-1,-1,-1,626213,-1,576547,863515,-1,-1,980110,-1,-1,753324,-1,-1,-1,-1,567437,614712,289206,59845,830214,-1,-1,917875,-1,411601,-1,-1,-1,-1,228815,-1,-1,656488,445540,39602,403473,677572,-1,-1,-1,621426,561396,849407,189324,546469,131304,-1,10731,-1,-1,-1,697590,621877,-1,264454,141107,-1,717574,405603,-1,-1,-1,-1,-1,-1,980186,-1,65498,914619,-1,727125,360570,-1,-1,570677,-1,-1,418231,-1,-1,634872,806288,810865,833353,-1,894105,-1,-1,866436,-1,-1,851239,-1,-1,374589,231877,-1,587108,-1,54678,698956,949335,438329,-1,509227,-1,806837,-1,686589,47964,930487,-1,-1,-1,-1,551470,-1,-1,-1,-1,-1,743039,-1,-1,-1,-1,288266,-1,-1,-1,494356,-1,400523,-1,927882,603181,799160,335353,-1,294304,461588,-1,-1,-1,-1,-1,-1,-1,-1,793069,428255,-1,-1,766826,270266,469155,26341,-1,598058,389948,244121,-1,360056,-1,270909,-1,-1,-1,-1,-1,705635,540710,805466,666595,-1,-1,-1,-1,-1,-1,37270,-1,-1,-1,-1,112838,-1,305934,407850,-1,-1,-1,-1,995712,211713,-1,-1,-1,-1,827183,768051,-1,638741,603114,630364,275005,429975,141106,-1,854494,-1,-1,-1,934631,-1,677906,-1,-1,-1,603060,228391,27214,-1,265325,283110,-1,648085,-1,-1,-1,13884,-1,292542,-1,425848,-1,57270,392091,-1,864521,-1,120871,-1,167364,-1,777839,-1,-1,883730,-1,855004,-1,-1,300923,-1,-1,-1,-1,217417,353013,677259,-1,401723,-1,-1,-1,356355,-1,561794,720611,952730,233570,262781,589952,-1,11179,739864,-1,-1,-1,-1,503422,42884,-1,732425,74189,741066,896262,381939,-1,-1,194280,-1,-1,137654,317417,-1,-1,-1,-1,-1,-1,-1,807255,-1,-1,-1,750590,427493,-1,-1,940398,-1,-1,-1,-1,-1,-1,580002,-1,454242,-1,899943,-1,-1,4324,-1,-1,658126,319227,-1,502583,50330,-1,-1,-1,850144,-1,841934,-1,-1,-1,-1,-1,-1,623766,-1,61164,221806,796876,-1,56311,-1,680935,761825,459050,627019,947383,-1,-1,458104,-1,-1,664507,464646,-1,517814,-1,249502,309748,358159,-1,48382,-1,-1,-1,599881,-1,-1,720566,-1,909566,305575,-1,-1,43487,676457,166798,-1,-1,814853,656769,887252,622912,757339,849657,718680,-1,-1,-1,-1,-1,197204,-1,36938,508640,137307,-1,-1,-1,-1,350506,942810,7261,693377,296907,962656,889008,-1,149080,715483,-1,64528,-1,-1,637207,949665,-1,781834,-1,781152,-1,983187,-1,-1,706761,-1,13277,-1,-1,-1,-1,995140,680874,499934,636387,-1,115631,-1,-1,286854,-1,397545,-1,-1,226091,434168,582567,867771,472827,263480,430032,-1,614361,-1,863900,245462,532441,910220,-1,-1,302056,935555,-1,-1,337831,-1,953474,-1,-1,-1,-1,520369,-1,368046,-1,603302,-1,365052,-1,484789,-1,714741,-1,144963,905,-1,-1,653271,33480,-1,350032,-1,834112,720707,-1,-1,-1,157382,447665,476068,495243,74008,566365,-1,969465,-1,-1,856574,-1,854730,-1,868116,-1,-1,667978,557110,-1,-1,-1,447254,57662,373729,-1,-1,-1,-1,793725,617886,-1,705775,-1,93098,305946,-1,934357,-1,-1,-1,711323,-1,909446,-1,-1,737527,-1,-1,620138,377649,-1,46202,477038,-1,-1,932578,-1,352313,-1,997821,609143,884326,-1,-1,-1,779911,311740,362703,-1,-1,849078,-1,-1,733686,914524,311679,838377,-1,325683,141796,87211,656444,103425,-1,627854,-1,-1,-1,884047,-1,-1,473388,653980,-1,970666,408563,749881,-1,817815,-1,582196,-1,138840,-1,11941,182262,705660,183477,-1,103059,770025,-1,750861,46555,-1,531814,852613,31568,74861,-1,842813,662402,824437,366540,865850,-1,-1,78062,232732,-1,665937,320731,853709,-1,-1,-1,771004,-1,165188,515282,874382,-1,678474,954818,669772,-1,-1,-1,566072,982471,-1,615329,-1,753915,-1,864908,253835,35688,-1,-1,-1,-1,-1,437787,834610,-1,-1,249938,195570,-1,-1,9640,796609,827386,114394,-1,-1,185004,-1,-1,-1,20221,-1,367207,-1,-1,-1,-1,-1,37108,672914,678841,892955,-1,-1,-1,678018,33877,-1,418492,59594,-1,-1,404316,191793,754504,169407,579727,624727,813031,-1,-1,712214,-1,-1,92045,-1,-1,346538,191185,-1,-1,622299,-1,-1,-1,-1,982035,916651,587591,173577,733217,-1,86471,-1,-1,-1,664576,-1,-1,-1,-1,-1,814854,331901,808263,-1,-1,535810,-1,858198,-1,407885,670074,-1,59589,-1,-1,-1,408749,253360,689066,-1,508652,-1,-1,-1,-1,827030,-1,261027,278967,-1,-1,397171,-1,-1,-1,165890,-1,-1,887145,-1,467343,-1,-1,559473,-1,-1,136556,991727,291015,-1,945601,731214,23488,-1,175954,-1,539166,991626,-1,-1,-1,98471,64335,429895,943980,-1,-1,-1,-1,600324,-1,-1,850501,349427,188554,-1,497903,-1,-1,116503,789245,-1,983571,-1,-1,-1,962929,280187,-1,-1,-1,53718,-1,616106,605127,571928,896209,68721,-1,-1,-1,-1,397278,-1,-1,795210,-1,-1,-1,902868,-1,-1,703092,-1,-1,-1,884751,-1,412367,778388,-1,-1,680368,-1,-1,-1,784248,-1,-1,-1,579297,330381,-1,-1,-1,-1,-1,921117,-1,517618,491829,-1,-1,-1,562880,-1,-1,-1,374120,-1,997076,508767,-1,933295,-1,801144,-1,-1,560359,716683,738070,278225,449862,108117,-1,-1,-1,435181,799633,-1,922300,470782,-1,163821,-1,-1,2016,618770,-1,367179,-1,-1,-1,915595,556939,191456,-1,-1,-1,-1,-1,565204,-1,49264,-1,45861,665886,807312,-1,-1,343666,-1,642338,-1,783901,-1,-1,-1,-1,541141,671618,186165,-1,-1,149565,-1,593521,-1,-1,-1,-1,-1,616700,251944,714900,-1,664255,-1,162503,-1,517204,-1,-1,-1,455307,-1,451724,155745,143965,-1,-1,692288,-1,-1,112183,857065,726118,298903,198963,-1,-1,-1,-1,365341,-1,-1,944288,979578,934142,-1,943133,-1,595959,210583,-1,68594,-1,631872,-1,841212,474349,-1,636582,31305,-1,-1,-1,-1,334755,657520,-1,174130,654064,-1,-1,-1,614437,-1,330281,233512,644973,776208,662238,69908,-1,-1,980205,-1,177654,271449,-1,-1,-1,-1,-1,-1,37396,-1,672453,772139,-1,507490,-1,-1,434311,-1,463189,-1,973054,-1,-1,-1,268372,-1,25103,111230,-1,315384,255281,-1,191802,968604,21808,-1,-1,-1,-1,-1,739442,755849,842117,673188,483017,-1,-1,-1,-1,-1,-1,67261,-1,966521,-1,-1,974098,-1,782257,-1,433047,921174,-1,10862,898287,395612,992894,-1,-1,-1,-1,-1,107981,821669,-1,-1,724066,17140,288136,-1,368253,-1,265265,-1,-1,-1,50572,892517,-1,-1,454153,168717,926029,-1,932874,692681,811918,901024,-1,710729,624244,-1,107903,-1,-1,870561,40839,30958,-1,-1,-1,-1,558825,183574,-1,712677,-1,693706,-1,418241,598428,-1,539978,331142,-1,-1,-1,-1,-1,645920,716136,391800,950409,237967,486589,454892,591323,-1,199884,195396,166047,-1,177301,823090,355619,-1,-1,-1,638979,303627,-1,-1,112487,85259,-1,784399,-1,-1,-1,-1,834893,282543,901830,-1,-1,803517,791266,-1,324146,76916,151078,879588,-1,542825,-1,486986,-1,-1,95394,459740,158059,-1,819897,448038,825934,961043,121038,428812,327996,-1,-1,-1,-1,734807,-1,-1,920692,826523,-1,-1,761179,-1,-1,208298,-1,-1,454167,-1,24514,-1,740574,573169,-1,892313,-1,-1,322238,487885,35969,253570,69447,894367,714886,400756,-1,-1,730751,-1,357555,-1,-1,-1,1851,442582,960374,-1,-1,883452,-1,-1,-1,-1,-1,213882,-1,-1,121369,848513,239652,792221,115980,446289,-1,-1,-1,750275,594718,-1,-1,-1,-1,430087,-1,61877,95579,178215,704684,-1,839622,-1,-1,717007,-1,813975,-1,-1,975016,-1,-1,-1,477901,233375,651433,254273,-1,823960,123034,67161,-1,75859,-1,718197,560899,343171,48447,-1,-1,-1,239410,679585,364663,124189,438123,297435,419399,-1,-1,-1,292713,-1,59605,299748,-1,701133,-1,29848,-1,-1,-1,141663,-1,-1,-1,-1,661909,-1,-1,-1,-1,950589,5490,-1,25765,-1,-1,189075,-1,413137,65989,548413,100950,-1,518099,-1,110961,-1,-1,-1,745848,-1,216560,77902,-1,587636,845847,152317,356985,865365,781460,-1,948892,-1,-1,-1,-1,-1,273235,395720,-1,-1,-1,758906,62228,-1,-1,402890,602848,-1,-1,-1,-1,165219,-1,517745,614850,-1,-1,53933,-1,-1,525836,-1,751658,-1,726980,-1,750990,493226,-1,454317,878235,-1,-1,487332,-1,-1,981799,-1,178492,843848,619359,-1,828645,944386,-1,424875,-1,-1,-1,-1,-1,-1,720629,-1,855082,-1,-1,-1,560798,567025,-1,-1,573643,423368,969678,-1,579559,-1,282472,389437,106608,499068,238631,352696,-1,466530,-1,-1,-1,-1,-1,743963,854277,-1,-1,-1,-1,-1,24673,-1,854106,56014,838489,-1,614671,-1,-1,311552,-1,458139,-1,566060,-1,237898,-1,14809,102699,-1,259940,916773,-1,142016,-1,-1,303070,531127,-1,581975,347796,29679,-1,-1,-1,-1,83495,-1,247136,-1,-1,-1,265570,-1,-1,716929,18246,-1,-1,-1,-1,-1,-1,38506,421027,-1,812025,-1,607110,-1,-1,-1,-1,-1,-1,-1,-1,293952,288723,-1,-1,-1,39593,12014,143829,-1,209670,-1,-1,308065,-1,-1,-1,-1,-1,-1,-1,-1,213430,-1,666167,-1,-1,610112,337996,166393,-1,-1,-1,839453,860568,135145,385209,396441,-1,498490,640708,-1,-1,-1,540351,126982,-1,-1,572958,-1,-1,-1,-1,664667,-1,-1,122281,-1,-1,290502,-1,-1,-1,-1,921821,292931,959583,225934,890900,-1,-1,-1,-1,912699,4133,911243,-1,733489,-1,269665,-1,-1,-1,36660,-1,96890,-1,-1,-1,-1,529803,-1,620057,-1,-1,175288,-1,-1,-1,-1,-1,-1,-1,891274,-1,-1,996033,717046,2396,221578,-1,756751,-1,-1,-1,-1,992361,-1,-1,240423,427210,632803,569130,-1,-1,674160,-1,894786,-1,-1,-1,752598,450258,-1,54340,-1,-1,394938,718847,-1,-1,841395,-1,-1,382959,182383,-1,-1,-1,-1,-1,894672,-1,608130,-1,-1,596848,-1,-1,-1,356714,-1,714789,834625,-1,-1,-1,118720,-1,-1,165632,-1,-1,-1,655684,-1,-1,-1,24477,903683,-1,981934,-1,-1,-1,-1,-1,-1,959806,-1,-1,-1,-1,749903,-1,-1,-1,810814,-1,-1,941276,-1,724849,-1,-1,255478,465687,140969,-1,-1,-1,-1,488694,-1,329743,869540,342647,201172,468060,887621,169572,-1,-1,-1,-1,819308,-1,692109,-1,320966,912813,171499,-1,-1,636614,-1,681797,-1,-1,230023,-1,-1,59304,937881,847328,821926,-1,465160,-1,488567,-1,693669,-1,888374,862294,-1,936638,887382,620213,-1,631829,-1,252011,100942,-1,781245,-1,311076,-1,-1,161726,118704,-1,102340,339366,411798,-1,562262,122207,-1,-1,-1,184964,-1,-1,868219,-1,-1,-1,701367,-1,971825,-1,-1,-1,-1,439500,825806,-1,520992,-1,-1,81975,-1,712132,-1,-1,-1,-1,-1,-1,826975,16905,942794,519827,95812,-1,-1,-1,622339,907701,896961,106371,-1,-1,674069,-1,794765,-1,31326,-1,380208,974044,-1,549446,127070,-1,-1,741844,736348,563979,630440,316551,-1,790527,130502,-1,-1,-1,340696,631404,856444,-1,243982,-1,65443,-1,149626,264443,-1,-1,602521,-1,649524,876823,-1,220384,560787,-1,-1,257397,-1,142776,652191,184202,-1,-1,-1,-1,689505,687167,23586,62845,-1,-1,915212,-1,728832,-1,265993,-1,-1,-1,-1,-1,-1,951305,-1,-1,755317,759868,646288,-1,-1,-1,-1,402668,121083,-1,-1,-1,-1,-1,-1,242295,900967,-1,-1,730585,-1,-1,-1,-1,452762,177782,385141,-1,-1,828619,733988,-1,-1,-1,-1,-1,565773,163959,-1,-1,-1,-1,597026,756183,635577,-1,-1,-1,-1,-1,-1,-1,-1,182842,53351,216221,-1,2573,600309,-1,819550,874460,217532,-1,753252,238169,-1,-1,-1,-1,576155,-1,233062,142233,-1,-1,329556,-1,517644,-1,889930,945142,-1,-1,503662,573420,802370,334281,681216,575875,-1,611836,-1,-1,-1,687256,371657,-1,-1,60398,271858,-1,939938,105707,-1,879201,274801,674755,-1,-1,760095,552612,700299,-1,-1,771481,227748,166556,5979,-1,174366,-1,998322,-1,-1,675668,-1,621432,-1,822030,815135,396972,916745,-1,710125,264105,23695,371595,849971,-1,-1,265955,-1,684266,834885,-1,54852,-1,859462,-1,240368,-1,335520,51974,492486,-1,677462,-1,136694,-1,-1,-1,-1,420056,-1,-1,-1,282262,939736,925038,-1,-1,375399,-1,366972,690652,561901,-1,209871,172810,16890,-1,-1,92370,-1,-1,100725,-1,-1,-1,-1,-1,395730,-1,144119,-1,-1,418512,996353,-1,797063,839037,-1,-1,-1,-1,-1,-1,128848,835192,283266,-1,-1,613316,422099,923025,406448,83725,270184,244525,661763,-1,-1,-1,601052,-1,1821,679100,-1,-1,-1,-1,-1,-1,-1,-1,386618,205533,828718,-1,-1,-1,-1,444920,244118,-1,-1,-1,-1,-1,-1,-1,-1,-1,795300,-1,595187,-1,176077,-1,936321,818594,969223,-1,-1,-1,365039,641420,745156,-1,-1,-1,483755,686027,196824,377480,194804,-1,419446,849054,-1,-1,-1,-1,-1,-1,398527,-1,979002,837138,327297,43516,-1,220045,971159,741898,560972,-1,-1,286355,100227,-1,-1,370831,221273,64503,-1,-1,-1,-1,850421,49422,-1,314945,-1,230006,935143,-1,939110,-1,472825,-1,870532,-1,857240,-1,-1,37363,-1,-1,-1,-1,-1,183166,-1,-1,-1,-1,-1,20257,-1,-1,-1,-1,-1,806593,690735,-1,-1,270307,-1,32084,-1,-1,-1,383621,298637,596326,-1,-1,751807,-1,-1,190909,-1,-1,-1,101134,743125,-1,-1,718716,400311,-1,-1,626874,-1,820394,-1,-1,115987,-1,-1,549854,-1,-1,879972,-1,758919,535848,489731,166741,-1,-1,-1,793573,685829,505401,303734,-1,-1,-1,978855,683624,-1,-1,-1,1137,893325,-1,-1,284515,-1,673346,-1,-1,-1,-1,264960,-1,850834,454903,-1,962862,-1,-1,943816,117933,-1,-1,383412,509292,-1,-1,57516,-1,-1,-1,29000,-1,-1,636333,500879,-1,-1,370856,207415,-1,368210,967567,-1,182770,-1,-1,-1,-1,457226,-1,299245,1324,-1,-1,160523,551386,-1,-1,-1,907977,709096,698394,-1,700885,946251,869862,983508,-1,-1,632918,-1,-1,-1,96945,-1,-1,795254,35971,-1,894710,994097,-1,418746,-1,289943,-1,226508,395540,708764,-1,811986,38461,-1,272849,-1,-1,738109,130718,496555,484249,-1,428113,-1,648566,-1,687265,31662,-1,52139,182389,938945,-1,-1,370475,303896,108552,805636,-1,-1,591296,623336,727214,446687,900513,-1,-1,-1,514402,-1,-1,686787,-1,461468,-1,351725,114997,801278,-1,408585,941094,101023,-1,-1,748472,27025,114431,-1,510985,-1,-1,-1,912677,-1,600401,876158,353969,-1,-1,922280,-1,-1,-1,-1,-1,-1,-1,626901,847641,534547,840667,635110,718119,815369,-1,-1,380149,904946,-1,-1,746117,135974,145184,276705,735737,-1,-1,42666,37047,700643,123349,-1,-1,862540,524107,237085,-1,-1,-1,597817,-1,30834,-1,446600,-1,-1,-1,-1,490980,-1,-1,457603,-1,-1,558809,996602,224038,-1,647377,-1,-1,-1,-1,519942,611095,-1,172634,172051,-1,-1,69880,802749,951931,-1,422850,755660,-1,-1,-1,-1,403146,-1,792334,369792,-1,396274,160647,36400,677615,420012,91229,-1,269639,77830,770558,-1,-1,-1,-1,443470,561010,210851,722207,457777,954747,892284,38732,-1,-1,-1,-1,929947,-1,900010,-1,-1,174714,487713,-1,355263,683482,471719,-1,-1,513519,-1,241038,-1,701593,-1,806919,429876,-1,526867,-1,512075,-1,-1,294160,375120,-1,291552,-1,-1,938142,-1,-1,-1,954650,-1,170486,-1,636747,889617,-1,900168,478315,773962,330429,-1,-1,-1,655821,-1,-1,659168,-1,-1,219241,226906,433071,302245,-1,-1,124850,785194,-1,584748,232400,-1,-1,837863,-1,710653,879255,-1,756804,-1,-1,-1,-1,564303,-1,-1,700087,-1,-1,-1,-1,521578,-1,-1,-1,-1,-1,-1,-1,-1,886084,880114,793960,-1,997535,112522,96145,696194,911977,4321,-1,-1,-1,-1,-1,-1,-1,734548,506679,-1,-1,611882,-1,953271,-1,880214,956973,-1,394651,-1,671303,463866,-1,709541,-1,592683,-1,283486,-1,745229,99390,431441,-1,645831,520885,100069,-1,773310,-1,477887,-1,-1,-1,189985,-1,-1,-1,-1,-1,-1,-1,-1,496201,274228,526985,-1,417468,879435,377984,-1,-1,559174,489041,653494,877243,75336,-1,-1,839366,-1,-1,-1,-1,-1,833212,-1,333583,649552,-1,699242,-1,-1,556863,-1,-1,-1,306165,-1,763194,915785,-1,990634,691274,271493,-1,591410,935839,-1,-1,104554,-1,374225,734370,214654,10186,-1,-1,905372,897395,361087,-1,-1,-1,441149,-1,-1,255512,-1,-1,-1,136939,76461,304302,-1,-1,786821,97719,602152,957932,-1,905916,259501,230360,8616,-1,222699,-1,-1,25390,36427,-1,-1,-1,936244,-1,508051,995821,-1,-1,-1,884158,-1,991071,-1,403946,-1,121290,289631,-1,288434,685124,884206,-1,566571,515121,-1,301937,-1,515298,-1,380383,431404,-1,-1,859479,220737,789757,21449,300649,-1,65075,-1,-1,-1,494650,-1,563830,493679,-1,310411,-1,-1,-1,-1,786373,802919,-1,-1,-1,-1,28451,209441,-1,925205,302603,-1,-1,-1,-1,220797,600983,-1,-1,-1,860072,-1,-1,-1,770674,-1,159945,-1,-1,972622,-1,-1,-1,-1,329074,-1,525972,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,610778,-1,960295,656538,-1,-1,-1,820219,212277,-1,570020,-1,-1,41303,-1,936083,-1,-1,-1,569523,435897,-1,640294,338356,188442,-1,-1,-1,792416,-1,525109,-1,844741,440241,687228,583484,-1,373662,405412,-1,-1,-1,-1,-1,397076,-1,541632,42402,-1,249586,-1,758951,-1,-1,683586,-1,-1,-1,-1,445228,516500,671498,-1,-1,-1,-1,4458,-1,125224,-1,-1,-1,67771,726675,296431,463093,-1,-1,298283,582609,940842,68994,-1,-1,-1,929412,-1,439293,-1,-1,51005,780736,-1,-1,821506,-1,939650,-1,-1,-1,977664,-1,-1,-1,-1,905415,810424,407230,666830,-1,-1,-1,264505,-1,231512,-1,-1,-1,240818,-1,-1,277422,-1,69164,-1,591638,-1,-1,-1,-1,-1,453638,844084,6178,-1,-1,204313,391150,107473,-1,-1,452604,554634,-1,-1,922834,753561,-1,44984,557385,224800,692265,-1,-1,-1,35557,642577,563141,117524,-1,-1,157837,392822,325988,-1,-1,780870,708248,173645,-1,-1,-1,-1,226964,-1,732048,481342,757905,751440,-1,838998,-1,-1,475819,-1,-1,-1,-1,515832,146264,425468,-1,189550,-1,243435,-1,713862,-1,-1,448594,-1,637054,-1,154767,949731,666543,-1,46021,951496,-1,259064,168904,415785,369226,508591,704846,-1,198765,354693,-1,182766,468620,-1,-1,707511,728611,153719,-1,-1,9530,780988,-1,561265,-1,976922,660265,-1,287196,-1,-1,-1,425451,-1,978627,130004,-1,-1,-1,-1,-1,605834,-1,-1,666241,-1,739172,-1,575667,-1,940491,856120,667137,-1,408648,-1,674179,-1,340195,65755,881210,687218,448666,873745,960739,-1,262677,-1,-1,738368,667150,-1,837888,429663,-1,-1,-1,801938,-1,852763,-1,579899,-1,-1,-1,-1,772178,-1,971231,-1,658604,-1,956937,-1,488250,297184,86862,549713,600056,-1,-1,114219,921211,158907,617541,-1,-1,287756,839548,-1,-1,-1,946695,103659,628373,-1,-1,693333,251755,-1,-1,-1,-1,522921,538242,-1,127792,-1,-1,449152,-1,-1,-1,-1,-1,8829,-1,-1,-1,649422,-1,591456,75036,34994,-1,613297,300509,503611,-1,35238,-1,-1,-1,-1,-1,-1,284397,23972,601044,-1,650673,-1,556451,-1,433516,-1,-1,504907,-1,-1,-1,162652,10373,699096,-1,-1,-1,-1,-1,-1,863157,-1,-1,601184,874905,-1,469089,-1,-1,-1,2728,-1,48799,-1,-1,227973,426317,-1,258990,-1,682920,-1,725877,-1,538623,604784,-1,-1,-1,347008,722867,-1,-1,400298,-1,-1,431791,50187,-1,174128,354235,-1,571540,-1,1544,-1,863616,220060,867793,-1,490525,686076,705714,-1,-1,-1,-1,913334,206377,-1,488026,855986,-1,270167,-1,187206,-1,363155,-1,612886,575378,-1,-1,-1,216575,-1,-1,901543,492189,431979,-1,-1,-1,202665,7989,377057,-1,151507,-1,-1,-1,382119,-1,766953,-1,-1,-1,-1,-1,-1,-1,-1,-1,828572,-1,-1,43348,-1,-1,826072,-1,732389,511898,273413,44492,-1,-1,536781,-1,-1,356868,-1,-1,-1,-1,-1,-1,-1,598879,228883,506028,-1,812865,715311,-1,-1,-1,-1,417473,-1,-1,862494,-1,-1,921537,-1,381307,-1,-1,215598,941294,-1,826562,154029,-1,-1,381940,-1,611161,376107,799278,566337,-1,-1,574446,-1,640224,460148,-1,-1,-1,434543,-1,810241,786223,496914,-1,-1,-1,573292,-1,-1,882225,44523,-1,495545,-1,-1,81601,-1,-1,450061,-1,-1,82263,524231,-1,613445,830591,-1,-1,626056,293662,-1,-1,370988,-1,333712,-1,718823,691559,-1,259999,603728,-1,412571,325503,605754,-1,179010,471874,282161,134958,4910,78517,393522,731391,533579,168173,-1,817114,751090,59878,-1,231937,-1,571044,-1,-1,973123,-1,922888,-1,976081,81869,690351,-1,453818,68266,371593,592066,-1,-1,-1,995721,523628,527387,-1,844899,648176,512793,-1,-1,944642,-1,594557,103015,657468,365838,810846,274284,-1,-1,-1,137808,-1,151880,-1,921336,232494,-1,-1,907334,830833,614524,963338,-1,-1,-1,158742,-1,-1,-1,38726,319571,-1,529629,-1,-1,197707,360460,281557,38864,-1,353807,-1,271054,836056,519104,-1,433688,502287,-1,-1,469849,839371,818245,-1,744142,-1,-1,6469,432830,226874,-1,161207,-1,53434,143723,239466,-1,215722,-1,269528,466524,112052,-1,-1,439853,-1,439378,695539,758862,911199,647171,-1,469402,8040,202272,796912,74537,520619,-1,713954,-1,-1,87115,832816,639737,-1,642595,-1,-1,157439,94645,808002,148327,-1,682872,-1,849648,-1,556446,381511,-1,216464,533249,661097,-1,217797,415964,298609,-1,-1,-1,-1,808600,955117,-1,49365,62517,34490,-1,-1,-1,-1,132016,468639,-1,54000,217808,508066,-1,-1,766726,54758,915473,-1,-1,-1,-1,-1,-1,49915,-1,921978,-1,147175,652830,246383,-1,285390,-1,861212,326974,929014,-1,495283,-1,648798,4099,-1,-1,-1,-1,864820,738791,109068,-1,686702,849895,733821,80853,155288,-1,-1,86088,945757,850885,678487,-1,40045,474854,36738,-1,81977,-1,-1,928224,-1,311681,-1,-1,-1,600185,646406,-1,-1,-1,-1,207454,-1,-1,241578,-1,899578,112184,561769,592635,-1,644304,-1,-1,-1,-1,-1,544730,699692,-1,-1,693809,339775,973683,-1,-1,-1,-1,-1,-1,-1,-1,-1,568830,-1,-1,83034,97995,-1,881132,642397,-1,-1,844705,-1,98053,102496,490785,613012,-1,-1,-1,984249,-1,882055,-1,658476,839428,56079,399049,371471,442393,319604,-1,-1,-1,586552,-1,-1,-1,-1,-1,-1,-1,136487,-1,-1,575,513484,-1,655502,-1,656334,28205,937717,-1,906446,211313,-1,852749,-1,-1,351954,-1,-1,-1,631048,529151,103353,841697,695564,-1,-1,880267,469513,-1,-1,745747,-1,37826,923344,-1,-1,-1,497616,734231,-1,-1,275057,-1,508993,-1,10846,-1,-1,302878,833210,356683,-1,386200,-1,-1,857983,280044,-1,159794,938929,-1,-1,512495,-1,-1,-1,210344,-1,886745,740906,225871,978107,-1,28808,-1,-1,879321,66519,580689,-1,-1,765563,530049,361169,-1,303405,-1,-1,-1,990098,-1,-1,-1,559754,804746,-1,172897,606539,-1,275541,-1,680851,894335,-1,-1,936839,-1,310047,-1,-1,-1,-1,103135,537972,-1,-1,-1,-1,323110,994382,711565,-1,-1,-1,-1,-1,-1,-1,24862,132796,-1,869423,-1,293422,-1,684457,401989,906012,-1,121775,999489,-1,-1,156889,-1,359302,-1,-1,782043,-1,991522,769574,-1,890729,-1,-1,357316,-1,967837,451244,-1,267628,-1,436345,-1,791081,-1,494180,-1,124308,803506,750364,947590,-1,594669,-1,-1,-1,805295,873968,377379,-1,375389,553971,-1,-1,-1,855036,212931,-1,-1,516177,882776,-1,-1,-1,355039,90858,-1,869902,436635,653036,774879,-1,-1,-1,-1,-1,-1,-1,721299,-1,-1,-1,609906,758423,-1,326794,-1,-1,-1,-1,-1,-1,892991,480885,268446,651440,-1,328983,-1,-1,717814,-1,-1,747888,-1,-1,-1,768993,693510,-1,-1,168508,676697,546040,825128,136462,228193,583529,156814,436987,929119,-1,-1,-1,91213,-1,361298,422486,-1,477467,-1,711300,441346,-1,-1,813250,-1,-1,961422,994059,621123,662375,-1,858443,-1,-1,-1,-1,-1,-1,-1,849205,267610,-1,-1,947375,-1,897934,-1,845138,252035,-1,565243,10659,-1,-1,-1,-1,420158,823969,-1,186749,353300,806319,833120,-1,-1,890409,182048,-1,-1,-1,735319,-1,976808,-1,487991,-1,6393,193589,-1,-1,827022,96770,459795,308676,-1,-1,-1,-1,406559,-1,-1,-1,258314,-1,-1,-1,874251,-1,562939,-1,-1,-1,543714,-1,13378,449157,95497,-1,484110,690637,820056,929983,698110,-1,739665,151064,96980,902450,-1,166980,-1,471782,340956,-1,-1,-1,559923,971557,-1,525963,562915,-1,633792,550306,570700,-1,985652,-1,-1,-1,843603,497155,-1,829987,674704,591241,-1,583063,558586,-1,60284,263055,-1,84764,409263,-1,429037,-1,-1,-1,428110,-1,841782,746312,762295,165595,-1,-1,256825,394431,831409,-1,914350,925129,567316,643579,122995,-1,247364,-1,813273,496638,-1,-1,158474,-1,166719,-1,939174,-1,-1,-1,-1,350273,491948,543928,-1,-1,977378,-1,980117,285200,-1,-1,612837,95539,509402,-1,-1,-1,559627,270343,614996,74877,-1,-1,306300,-1,-1,-1,984145,-1,-1,-1,56622,-1,538514,518986,333853,36493,432591,-1,-1,-1,-1,919228,213403,663786,65046,-1,423281,505832,-1,-1,289338,952516,-1,-1,17584,-1,-1,-1,687086,28953,-1,-1,622525,-1,-1,847456,-1,-1,-1,790788,369048,-1,669294,-1,648556,-1,-1,-1,97165,-1,-1,-1,662033,-1,696759,-1,470351,-1,50631,212495,530597,777275,603904,138152,610656,594344,757344,-1,801461,972960,154399,-1,930090,112797,387339,718324,178951,-1,-1,-1,18168,483363,-1,-1,-1,583642,-1,201857,801201,-1,-1,863794,-1,-1,-1,588634,-1,-1,68908,-1,-1,-1,576575,-1,-1,735874,-1,376887,-1,212680,174785,-1,-1,40420,-1,-1,844195,-1,-1,-1,-1,623093,916123,-1,-1,739975,727890,816250,-1,-1,322130,-1,352151,-1,-1,-1,-1,949615,291049,17105,960419,-1,-1,-1,-1,657462,-1,857706,123283,231789,-1,159798,336058,975344,174733,136660,487682,-1,-1,789118,-1,393589,574675,-1,968316,-1,-1,521791,-1,744104,-1,-1,-1,446059,443725,-1,-1,794520,267456,653571,-1,-1,297793,208245,869668,-1,-1,865834,953538,623562,-1,-1,501024,127348,-1,-1,592309,-1,-1,-1,-1,-1,-1,792908,843391,-1,-1,564184,-1,-1,316480,-1,-1,-1,144538,-1,583407,815752,926644,-1,-1,490317,-1,836924,286145,-1,-1,72070,112967,-1,-1,628227,-1,40597,858683,63182,-1,370607,562689,-1,618927,-1,43769,157175,-1,806628,-1,-1,-1,453742,-1,876895,-1,-1,17167,-1,732885,87242,-1,635310,-1,-1,332321,-1,-1,-1,-1,-1,-1,953410,-1,591010,381045,851885,204477,76607,332706,835721,125595,-1,414503,-1,-1,-1,692422,496102,-1,413298,-1,342730,77282,862034,-1,851920,624826,-1,899120,-1,-1,-1,158517,794356,362821,108548,194230,527445,-1,752271,-1,422569,382116,229146,-1,-1,214719,891023,-1,-1,26921,-1,980580,972970,-1,-1,68967,-1,-1,891987,340652,-1,-1,350047,540713,-1,-1,-1,791882,-1,789418,-1,229748,-1,-1,-1,798143,330894,-1,-1,804300,-1,-1,231785,951591,-1,253258,-1,984055,-1,-1,-1,9842,526737,-1,-1,200001,-1,703594,72772,-1,-1,-1,-1,-1,-1,587549,254263,-1,-1,-1,391990,-1,806754,-1,538016,-1,-1,-1,450763,-1,-1,-1,326260,907682,-1,444081,-1,-1,-1,673034,349056,-1,-1,857049,581980,319755,993988,265081,146600,687251,892189,432193,-1,173187,-1,561968,126788,468385,-1,316337,77411,-1,-1,273102,-1,-1,136400,-1,701922,123606,421758,-1,-1,825605,-1,277237,-1,541224,886454,496074,-1,-1,-1,-1,-1,-1,-1,944588,845876,-1,-1,114512,4662,942269,-1,-1,-1,446212,-1,879820,782052,-1,643344,-1,636527,-1,-1,-1,428897,-1,417083,562978,-1,-1,117301,-1,615689,-1,574989,172165,212812,-1,563691,592648,63206,-1,-1,-1,-1,-1,-1,-1,186256,645214,-1,-1,879626,-1,846093,795938,584230,906801,876603,-1,-1,213743,-1,190788,517052,-1,-1,-1,33770,18147,683824,410907,93517,-1,-1,11613,-1,241562,-1,450297,-1,956577,367660,-1,204317,-1,-1,-1,-1,862793,512140,-1,-1,-1,784138,-1,-1,-1,768635,-1,-1,454566,-1,50482,-1,60528,-1,-1,126815,523483,554582,-1,587602,887031,901501,-1,-1,-1,446278,-1,151380,908676,417235,745902,-1,209167,610309,604269,334237,184158,-1,-1,-1,121422,848704,-1,610962,-1,363558,464829,-1,484456,842447,239483,338226,-1,803454,-1,387670,598632,-1,310208,-1,351599,72669,781662,-1,312255,-1,250569,5426,-1,109120,-1,-1,-1,-1,-1,24874,-1,-1,936409,248637,-1,868480,-1,-1,-1,376311,-1,767551,339807,761186,947759,-1,-1,936448,534507,-1,400826,926847,-1,990590,-1,-1,-1,89203,-1,-1,858778,267498,990933,981051,-1,-1,-1,-1,352240,91907,136713,-1,-1,-1,-1,344023,416294,-1,849241,-1,-1,324845,216842,169774,-1,816592,-1,-1,-1,60052,-1,-1,-1,-1,999638,980950,-1,247487,728071,361779,486610,489715,-1,495707,-1,714719,960432,-1,-1,-1,785317,-1,956848,-1,819116,-1,851311,-1,575971,862830,-1,-1,88677,-1,-1,-1,202197,-1,692019,-1,-1,-1,-1,201699,873300,691376,405289,540140,-1,749241,-1,-1,-1,-1,896598,115760,416089,-1,4285,-1,821278,-1,-1,772012,-1,-1,874512,-1,230441,979096,-1,-1,-1,-1,313236,-1,-1,450902,-1,-1,577428,386743,27329,178585,-1,-1,417917,205846,-1,-1,-1,651672,25841,-1,720131,204011,986730,-1,457572,-1,985081,-1,-1,-1,126363,926367,-1,-1,-1,-1,-1,524378,764304,-1,784837,-1,-1,548475,278817,119401,240878,-1,798674,-1,-1,286297,-1,428236,440873,401732,327157,650465,-1,-1,524077,96449,-1,-1,-1,86230,-1,-1,624887,-1,945151,-1,-1,530614,-1,-1,-1,380463,718347,406008,-1,862701,441528,581598,647507,-1,-1,-1,944352,-1,33050,-1,-1,531467,-1,808656,485084,53060,-1,508985,-1,430216,-1,-1,-1,133496,-1,224838,911036,-1,165086,618818,409060,-1,957548,439269,102772,917008,-1,153536,-1,852800,60141,-1,331113,667091,558479,-1,373413,-1,950336,-1,-1,-1,203796,740790,-1,-1,814590,-1,-1,-1,441418,780444,-1,-1,-1,-1,-1,-1,-1,771409,-1,26275,786396,400036,283630,989961,-1,977956,773100,-1,150179,-1,-1,-1,877098,-1,789185,-1,326493,-1,-1,700402,50071,965130,-1,-1,900145,826492,-1,-1,-1,100166,956313,960671,-1,394347,-1,217708,-1,782360,659145,-1,184130,-1,-1,936612,-1,-1,468562,-1,888115,-1,-1,122596,72166,186000,942101,877673,798121,-1,552845,-1,-1,246861,-1,-1,107010,101785,347473,797090,-1,-1,475022,-1,-1,322362,378616,-1,-1,-1,-1,972215,-1,256315,-1,25477,677481,-1,-1,993765,231909,707117,-1,76277,-1,-1,956136,-1,-1,-1,-1,-1,658835,939155,2374,-1,-1,479955,-1,-1,814717,-1,710140,913456,962520,438172,-1,463980,973415,-1,-1,371859,-1,115084,-1,-1,-1,624596,-1,621454,91960,-1,-1,-1,545190,145239,-1,870130,-1,903843,-1,141806,-1,470521,530046,411654,384011,-1,-1,978495,-1,740553,330369,227717,-1,33380,-1,-1,-1,-1,-1,923728,166100,-1,-1,396486,-1,225873,-1,572867,891347,-1,-1,-1,-1,-1,-1,677907,-1,254089,117767,38619,247053,772635,-1,-1,-1,71403,691333,652081,-1,701392,-1,-1,-1,-1,-1,-1,879329,-1,247329,-1,409649,626529,-1,943678,-1,944347,-1,-1,-1,397074,-1,459693,-1,-1,191869,-1,-1,-1,-1,-1,-1,-1,-1,-1,188021,-1,285886,-1,-1,-1,-1,446915,747947,115553,-1,-1,-1,559972,-1,515042,633456,-1,-1,-1,907171,-1,47497,961840,201359,-1,-1,348173,952668,-1,-1,-1,-1,35149,-1,-1,879421,416746,-1,691883,820812,430601,880417,390400,-1,-1,-1,118798,-1,-1,-1,-1,482228,897497,-1,467805,-1,816854,-1,848274,142923,-1,874101,-1,-1,691266,441642,440588,610376,-1,315472,-1,-1,-1,51275,806181,459950,867923,33006,515022,-1,-1,719237,445887,61072,-1,-1,691798,956754,-1,-1,-1,994661,398356,906014,614180,-1,-1,401916,-1,906669,-1,456606,728522,67240,-1,-1,-1,-1,697153,33377,738924,-1,803589,288561,-1,380165,-1,83971,-1,-1,-1,-1,-1,-1,-1,-1,-1,302216,-1,66316,-1,500688,747912,712515,-1,136538,-1,-1,-1,-1,538781,-1,-1,-1,-1,-1,117790,-1,555674,-1,-1,-1,-1,374769,-1,-1,531229,-1,92076,-1,524533,505880,526583,349267,-1,50600,638472,596937,458419,489186,678512,298540,153595,744405,617010,934850,588675,709309,733433,-1,420697,194806,580321,43187,-1,736875,420852,-1,-1,-1,-1,-1,405971,-1,-1,-1,-1,968084,472754,191781,67295,-1,-1,796525,441876,502255,93510,429857,-1,-1,64310,-1,-1,814804,-1,-1,246433,498285,-1,115736,-1,-1,684931,278726,122474,22730,509272,189304,-1,621255,-1,202540,808210,265300,874802,648132,-1,-1,816730,-1,880612,230061,-1,924463,-1,893620,581837,-1,631073,217639,-1,-1,-1,861430,-1,838792,87553,-1,-1,162877,37041,-1,931394,32723,483111,782655,-1,310470,34734,209961,-1,-1,153458,-1,-1,198445,-1,467379,762563,186723,45791,908308,-1,-1,985609,-1,-1,-1,333941,594954,-1,-1,925627,117463,-1,-1,871411,574567,-1,-1,745946,-1,22268,-1,150369,-1,-1,-1,-1,-1,-1,-1,485905,-1,402389,724393,-1,462205,-1,-1,-1,-1,933486,-1,128338,-1,-1,-1,263523,373958,-1,42706,104107,-1,-1,-1,-1,269426,-1,-1,22393,-1,841745,-1,-1,-1,779140,789845,67297,-1,427235,-1,240619,-1,935450,845681,323626,984264,-1,760179,-1,709556,967011,-1,-1,819386,-1,-1,-1,253726,-1,54397,-1,966372,-1,353349,-1,923424,900251,-1,997085,452096,417768,135246,410574,543470,819474,-1,-1,887149,-1,-1,-1,859340,-1,-1,-1,42267,-1,-1,472527,-1,126445,298760,344228,-1,445269,-1,-1,191653,495880,9036,-1,597862,-1,-1,-1,816838,-1,-1,-1,176724,887280,-1,961717,728937,-1,-1,-1,-1,-1,-1,-1,855755,-1,-1,511369,818351,945254,-1,609001,813304,684811,-1,684746,-1,-1,141264,-1,-1,-1,251148,-1,736354,-1,-1,-1,-1,-1,-1,12100,-1,-1,-1,148387,727959,136653,417182,369144,-1,741703,-1,-1,790786,-1,548628,422918,683308,151743,-1,-1,730770,967592,906780,99097,273652,831717,-1,865137,-1,744952,173550,823935,343113,503600,325879,-1,-1,-1,-1,-1,898740,-1,-1,770710,-1,-1,-1,-1,110679,-1,-1,-1,-1,-1,-1,384908,-1,-1,-1,-1,-1,634286,-1,646656,-1,306510,-1,448013,822732,-1,-1,-1,612647,-1,-1,284177,-1,48418,199194,940550,824877,-1,-1,-1,-1,-1,-1,-1,-1,-1,768160,-1,-1,-1,-1,682256,-1,-1,-1,884009,-1,481877,764302,814113,-1,-1,15079,755893,-1,-1,-1,-1,219232,-1,366297,-1,602019,912357,-1,-1,333155,413262,-1,772437,367871,-1,-1,-1,397763,365521,668296,662418,61761,-1,634272,26131,-1,713446,361803,-1,-1,-1,-1,559695,-1,-1,519738,46437,-1,185391,-1,-1,-1,-1,-1,154758,-1,881022,-1,-1,655677,862814,853920,-1,548591,-1,-1,9089,293697,605399,-1,351504,711099,-1,-1,-1,-1,-1,-1,-1,-1,-1,545576,266536,-1,478909,80478,648822,905940,-1,642663,-1,-1,-1,878852,229806,840255,984054,-1,342725,680771,-1,714031,957344,-1,558747,-1,769698,-1,636844,-1,627598,-1,-1,-1,128755,898686,-1,354360,-1,996989,856197,895519,-1,181390,-1,159330,816897,55546,254691,590247,-1,-1,824785,-1,414080,241031,203622,563267,720696,-1,925184,26741,-1,249047,281401,-1,-1,377495,-1,-1,870625,-1,-1,-1,661033,907435,-1,412416,817369,702669,-1,-1,-1,-1,-1,-1,478296,-1,-1,567414,304125,-1,499293,453986,303321,-1,860547,-1,-1,-1,-1,22578,880500,-1,-1,-1,-1,-1,596503,-1,-1,-1,980835,950819,22497,-1,135901,601975,448346,-1,-1,-1,36221,-1,122380,-1,172194,570548,448309,-1,756125,-1,-1,525355,-1,-1,-1,-1,822990,-1,322672,133267,-1,548146,-1,377389,-1,-1,-1,422263,650395,-1,595852,-1,377226,-1,314227,790265,-1,-1,289818,281869,356976,718011,-1,-1,474268,-1,-1,785730,-1,824006,-1,476450,-1,-1,-1,32384,-1,927953,-1,-1,-1,229957,-1,141418,475268,836360,-1,-1,-1,-1,292256,-1,343722,36819,-1,-1,161328,150707,216969,-1,-1,487697,-1,-1,82938,128563,990261,471890,-1,-1,23597,551751,-1,-1,874242,614677,263118,-1,-1,126491,738899,879835,975966,413433,720826,-1,-1,803962,327857,-1,-1,709075,367180,-1,579503,197923,-1,123086,6700,30849,834544,982055,905019,616727,-1,-1,-1,897120,911200,-1,-1,454094,-1,478744,777659,441923,950058,-1,166292,28849,-1,-1,849294,725902,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,811172,212899,-1,126481,-1,685525,-1,-1,537832,648719,-1,-1,845263,-1,-1,-1,-1,150029,840665,916003,168896,969608,-1,-1,-1,-1,-1,-1,-1,-1,-1,291608,380025,-1,-1,623374,-1,-1,-1,-1,-1,-1,-1,610942,-1,-1,-1,414972,182504,407681,-1,-1,-1,16053,-1,256604,-1,-1,-1,343772,-1,-1,349204,286756,-1,-1,-1,-1,-1,-1,978748,-1,268565,657691,-1,658419,-1,-1,753202,-1,-1,-1,-1,-1,-1,463935,431001,-1,-1,-1,667113,-1,-1,-1,-1,-1,66349,902471,961592,-1,-1,114354,-1,-1,903955,-1,428043,-1,790945,163023,-1,232102,626072,927415,-1,-1,652486,-1,789073,433977,788428,604504,549979,790442,630615,773521,-1,-1,317700,734328,-1,-1,-1,391386,811041,-1,-1,699822,668714,163280,97682,-1,146438,-1,403744,31829,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,569606,-1,776065,-1,543501,236386,-1,489426,370164,809764,161474,504308,-1,418917,-1,-1,871742,-1,238428,594086,827967,-1,542282,112506,-1,624451,98730,409791,-1,703288,-1,876224,979594,-1,-1,-1,-1,948836,-1,4718,467402,-1,562981,-1,731710,-1,929808,-1,-1,-1,70045,709335,991811,475746,-1,-1,647003,186706,255028,194696,-1,-1,-1,216289,-1,-1,126704,297967,-1,357507,-1,725544,-1,-1,697521,900677,-1,-1,-1,-1,-1,-1,562955,152592,618500,-1,943499,952340,-1,-1,994066,136282,309698,-1,978567,-1,-1,943103,-1,-1,625934,401250,-1,810167,853754,683791,-1,-1,-1,565300,879898,-1,564842,-1,971523,711598,538911,-1,962690,-1,530034,-1,887052,783069,379990,266369,-1,-1,-1,-1,-1,983377,526437,692098,-1,94256,-1,864562,-1,-1,668385,323740,-1,446207,600,99982,-1,-1,-1,-1,530277,600020,487358,-1,-1,41670,564207,-1,-1,-1,-1,977426,918449,662964,-1,969047,906077,-1,530872,850701,540571,72263,-1,673790,-1,790618,24532,797585,-1,-1,-1,629445,-1,907368,352432,73962,493450,-1,406809,-1,450699,452001,-1,892317,-1,-1,868250,-1,-1,-1,513880,-1,-1,244359,-1,353798,410370,-1,138555,93071,455686,-1,-1,631708,494752,-1,276521,444557,17187,-1,75485,233416,-1,-1,30984,-1,548365,-1,-1,-1,398551,-1,-1,-1,561917,-1,-1,-1,-1,228123,128661,-1,717383,-1,508613,-1,-1,169278,721029,-1,-1,631508,-1,730723,-1,-1,-1,125120,-1,-1,542101,91971,-1,-1,-1,641190,996295,-1,-1,333130,-1,-1,-1,482177,-1,767185,-1,862026,-1,557167,472633,-1,219262,-1,534517,-1,460173,-1,128532,930013,733262,-1,-1,-1,748088,303170,853145,-1,-1,-1,115158,-1,-1,-1,69576,-1,479745,-1,111272,268665,-1,826131,-1,-1,294605,-1,950579,-1,-1,-1,-1,-1,-1,-1,-1,-1,480303,-1,-1,-1,708159,323541,315198,439460,-1,439487,-1,-1,-1,564970,191346,-1,236797,-1,-1,-1,797909,939943,-1,-1,-1,-1,-1,17965,935282,218228,427937,-1,521107,193621,-1,-1,-1,-1,120577,630800,855431,432104,327308,632202,-1,270615,-1,-1,966005,788445,348416,267263,324761,225013,-1,560957,10918,73217,16005,634788,429652,-1,892705,-1,-1,884584,706459,13202,957900,-1,7217,-1,573901,828875,-1,-1,-1,-1,127797,-1,945255,-1,344704,-1,-1,-1,-1,-1,-1,-1,386566,-1,-1,-1,-1,977415,-1,-1,-1,-1,945876,498878,-1,-1,406506,563,-1,-1,-1,-1,-1,862993,424523,-1,915463,948538,-1,-1,588136,602691,146531,-1,825562,79211,691195,-1,116897,-1,-1,95944,470969,475567,656685,148505,-1,-1,711781,685859,404976,860288,-1,-1,68699,369114,353359,-1,-1,132359,-1,-1,738613,-1,-1,284108,-1,495305,659037,-1,-1,933102,-1,396094,-1,-1,-1,-1,727816,-1,676845,392871,193472,415737,-1,894987,-1,487102,277165,-1,-1,94519,590329,217995,55875,-1,492898,430640,-1,458838,-1,6115,-1,-1,-1,134749,883156,-1,866567,363276,941543,-1,-1,-1,-1,-1,31237,-1,-1,422020,420652,141267,88167,-1,311201,-1,-1,-1,-1,-1,611045,216747,669209,471805,466956,334715,470956,-1,613305,391143,656549,743198,628980,-1,403662,-1,297621,-1,394931,168283,596425,609821,-1,694936,-1,870270,-1,432529,413106,700248,829004,-1,-1,-1,419255,957413,-1,59711,-1,-1,-1,492365,-1,415323,728625,-1,317543,-1,161857,-1,-1,-1,437082,-1,771649,150774,971130,242095,757943,503154,-1,486305,865667,145355,961150,-1,62837,-1,-1,112297,958180,-1,-1,463144,-1,831568,-1,-1,567572,469504,255791,-1,-1,-1,-1,-1,68591,-1,-1,-1,-1,-1,105853,-1,-1,-1,478219,400603,896546,-1,934965,-1,769464,-1,963583,22767,-1,166310,837466,732857,477363,960363,338276,882038,-1,-1,-1,227080,-1,-1,423347,-1,-1,-1,85033,-1,-1,-1,395449,906015,33326,-1,-1,-1,479361,-1,-1,79413,-1,457634,174183,-1,926795,-1,-1,959143,-1,-1,779333,130672,-1,-1,517322,-1,-1,-1,-1,-1,591753,527557,-1,-1,-1,1657,-1,773743,895948,-1,622676,-1,172845,430507,-1,598926,-1,571746,847367,966822,543820,840639,-1,-1,701814,-1,577804,328818,366293,350610,111813,342303,-1,430859,843659,50791,99137,422069,476373,-1,43643,163040,345795,-1,-1,-1,170196,445609,-1,-1,-1,-1,-1,710671,-1,-1,-1,-1,-1,772153,-1,145963,91511,686130,-1,679510,-1,164341,-1,752438,-1,480682,-1,996513,174207,-1,33459,-1,445436,49681,959066,-1,-1,805037,-1,589749,-1,887316,243308,-1,-1,-1,674127,704601,93614,-1,-1,-1,-1,922732,-1,293919,243289,-1,-1,-1,313977,574880,14756,363101,93300,-1,-1,742359,348236,148710,354502,772141,-1,-1,-1,663947,34625,-1,-1,-1,717776,195809,286712,-1,-1,802599,-1,-1,32241,-1,220637,282355,-1,-1,709628,708425,887039,367577,33778,-1,407325,496125,-1,140719,269789,-1,-1,-1,-1,-1,544980,142742,-1,588261,-1,-1,-1,210007,441598,-1,539245,607608,164546,-1,-1,96174,-1,-1,887369,208120,395780,330848,713907,673046,493482,-1,156231,-1,-1,924086,489075,-1,102418,-1,-1,854921,856330,-1,-1,296196,562877,-1,-1,839998,-1,-1,-1,669538,-1,449400,477639,-1,745706,-1,-1,730008,392667,132222,-1,503460,-1,-1,-1,-1,863112,577462,-1,54671,371180,908804,491234,186888,-1,-1,-1,-1,637846,-1,-1,-1,547733,938451,776698,-1,118762,-1,-1,-1,-1,350072,567499,-1,787730,979011,772248,-1,-1,-1,414406,675239,465177,268940,767917,-1,-1,-1,392507,-1,-1,610818,592090,-1,-1,438564,60597,242226,9827,-1,-1,451054,159734,-1,852112,-1,324889,226779,-1,508035,-1,92298,478316,299447,-1,647526,751692,152276,17920,-1,-1,-1,-1,74860,-1,-1,133687,423757,495501,3317,235847,426110,669108,-1,639398,-1,96906,845360,47525,456786,101169,902811,577001,582695,-1,-1,352758,705942,911687,-1,273898,-1,-1,-1,616720,-1,256019,627397,-1,264504,774008,317343,-1,-1,503050,164212,-1,670203,-1,-1,-1,-1,-1,343119,-1,-1,-1,-1,-1,-1,767731,705734,17218,922368,860469,-1,-1,64942,-1,-1,317149,475965,492077,-1,-1,284819,-1,-1,-1,-1,-1,-1,771875,-1,298662,-1,-1,-1,940036,-1,255892,-1,-1,692850,-1,-1,-1,45731,423655,312588,-1,-1,334317,864556,289788,-1,154898,-1,769370,20763,-1,-1,-1,-1,-1,815124,-1,859013,-1,-1,867148,121237,405796,-1,906210,706640,495872,600170,859343,108910,988782,971351,-1,-1,267884,-1,495279,-1,772686,213867,570439,545659,832512,745701,-1,-1,-1,-1,172159,-1,-1,518960,323123,816371,-1,-1,-1,-1,-1,-1,-1,819492,5451,564924,2098,822714,493307,537361,808527,575491,249625,-1,206795,429150,958980,509663,-1,574819,-1,274222,699800,392590,-1,-1,-1,-1,337860,-1,37165,-1,-1,215962,-1,857221,-1,-1,-1,-1,-1,914976,311045,721611,-1,331849,739603,-1,-1,119427,-1,-1,977934,-1,-1,-1,-1,-1,-1,497479,514328,735214,669934,884402,181542,817920,-1,111241,-1,235818,961838,193316,-1,-1,810306,207295,-1,-1,644276,-1,-1,-1,8334,991946,-1,-1,-1,-1,-1,911984,119972,203806,430767,-1,883952,862465,872439,699806,-1,431337,806405,-1,506863,840338,620479,267924,-1,300546,732903,469819,-1,-1,654571,700960,-1,-1,-1,521701,-1,-1,595408,130859,-1,-1,-1,346596,-1,-1,747107,374926,417111,210702,852053,481130,-1,-1,-1,-1,578901,790811,923948,487709,951700,118328,375358,-1,992744,-1,648654,-1,992914,-1,652785,257806,594906,404784,-1,930474,-1,-1,986909,239689,-1,6495,950001,552196,835230,220502,-1,-1,505463,716064,-1,96798,-1,-1,-1,958523,774791,621904,-1,80699,784655,-1,-1,415512,-1,-1,704245,858715,207050,-1,905486,-1,716041,631210,728094,236511,-1,19035,-1,428988,568884,909418,683060,381456,-1,565020,-1,-1,517576,683930,319308,241004,-1,17245,-1,160059,-1,-1,32895,-1,173742,909125,-1,85687,234123,-1,-1,-1,-1,388362,-1,858387,-1,769364,-1,-1,286009,587766,60220,853494,128535,363557,-1,-1,287199,886226,286275,-1,111014,415178,-1,838023,609361,-1,965742,513592,-1,-1,-1,-1,92911,-1,-1,299419,-1,-1,-1,-1,8649,18555,-1,-1,-1,223703,-1,-1,-1,-1,-1,-1,744003,283818,-1,-1,-1,-1,-1,519549,170108,372652,-1,787939,575625,-1,237754,-1,423634,302341,781113,-1,260600,-1,-1,842426,263158,404338,-1,866273,-1,-1,-1,-1,394057,-1,129475,-1,32253,322656,-1,-1,619555,491901,750449,919507,710591,130279,-1,-1,-1,-1,-1,-1,-1,-1,-1,825815,-1,-1,-1,528618,426258,-1,-1,-1,695186,625557,573690,383310,720541,327934,-1,111944,581509,-1,986546,-1,-1,-1,-1,-1,-1,878813,-1,-1,-1,-1,-1,-1,-1,900121,413541,-1,-1,-1,414321,-1,67360,-1,14500,-1,-1,923892,-1,-1,422492,-1,-1,964585,85077,-1,-1,-1,953858,-1,179312,548753,524660,75293,-1,409684,191752,471994,625198,-1,873635,584757,97808,-1,-1,536443,608700,629624,-1,-1,-1,-1,346858,-1,-1,-1,-1,171547,-1,-1,-1,-1,120536,-1,735198,518269,401375,965215,-1,935379,517554,-1,-1,-1,12596,923525,-1,140395,405982,-1,152625,-1,-1,-1,-1,874199,310511,-1,-1,937583,-1,-1,-1,-1,-1,168206,-1,583379,880655,-1,-1,705205,-1,-1,338387,-1,-1,210878,-1,-1,-1,-1,-1,578264,-1,680322,80096,-1,-1,-1,-1,-1,160223,-1,-1,-1,-1,-1,705959,176271,680560,608421,-1,-1,821563,-1,499403,739560,-1,257739,-1,-1,-1,-1,739232,952178,617911,-1,-1,698051,297709,658137,-1,-1,816051,-1,559920,665789,390090,828978,561317,756615,292463,504959,883744,199280,512123,98764,-1,181561,-1,746626,983602,504163,-1,-1,296983,804798,-1,620254,-1,391400,824362,365011,364686,-1,-1,-1,814476,969859,63476,120899,-1,-1,-1,971079,-1,-1,675452,-1,-1,-1,485707,181471,-1,-1,840463,795166,617970,-1,-1,114533,-1,-1,669100,-1,741230,591017,118578,-1,-1,-1,-1,135837,-1,-1,199777,-1,-1,361985,602279,-1,-1,51035,-1,763476,-1,235416,732487,-1,943929,47240,866142,438640,581639,-1,769525,564075,-1,-1,-1,-1,101105,-1,-1,651985,321931,467778,-1,531578,451004,-1,643766,907474,467071,849705,-1,-1,623383,-1,930009,130239,753046,914514,-1,951640,960043,883275,-1,281374,173565,-1,234312,-1,224032,-1,-1,-1,126066,-1,-1,629440,-1,932403,514162,-1,992247,-1,-1,264950,79400,-1,-1,-1,-1,-1,-1,563042,758239,734281,266746,-1,-1,731741,992479,433636,76192,-1,-1,-1,665305,595920,-1,318359,-1,465939,-1,-1,-1,-1,175387,-1,-1,-1,-1,167368,103733,-1,-1,924027,248920,596904,536710,-1,303783,3167,-1,416728,-1,944465,-1,-1,-1,600090,983215,532847,-1,514961,725348,133476,-1,-1,912010,169722,423475,142045,559436,193161,-1,888921,-1,300462,492556,998162,-1,-1,876553,-1,-1,228837,690757,-1,274634,-1,-1,-1,465121,393006,909920,-1,26679,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,838776,-1,253503,113372,-1,12785,-1,604670,691187,664379,-1,809078,435930,409985,447211,483854,-1,440405,-1,37786,-1,198935,418428,-1,-1,413186,956377,308254,-1,-1,-1,-1,-1,-1,952711,368937,322146,-1,-1,-1,394833,465621,-1,743929,721948,200245,234248,994705,-1,175241,-1,758814,-1,-1,112819,-1,-1,498722,353428,-1,862912,-1,-1,-1,-1,496506,797454,-1,159030,-1,-1,-1,-1,-1,-1,174757,-1,551351,-1,14629,-1,995433,941227,-1,609913,117473,-1,-1,496960,-1,796606,-1,-1,613565,376449,406730,-1,-1,70929,690740,371456,-1,-1,569999,125497,-1,-1,201832,94515,-1,9895,-1,433850,-1,7747,-1,65978,-1,-1,934463,718229,500885,-1,168524,786494,-1,-1,-1,-1,285281,847126,8506,-1,-1,385471,481299,-1,208574,-1,33857,-1,449844,490245,-1,978120,-1,-1,-1,648600,418036,-1,-1,-1,570807,-1,-1,747186,-1,-1,702816,-1,-1,-1,195151,-1,-1,231482,-1,-1,361933,-1,658826,-1,-1,485729,-1,-1,-1,861056,-1,-1,37746,785396,89767,994989,-1,275805,791208,994470,374129,-1,-1,176702,-1,-1,459316,221556,452221,-1,-1,3692,-1,-1,526536,686276,558310,509195,447768,586026,-1,575124,-1,-1,191020,-1,427561,892523,-1,422911,-1,-1,-1,787185,-1,907030,816708,-1,-1,245067,-1,-1,427124,352803,-1,597440,2155,385241,409595,-1,839679,-1,-1,971776,-1,-1,841391,695074,37870,-1,-1,720344,303324,-1,-1,-1,-1,23674,387624,284363,636170,-1,846417,-1,269605,735989,66275,-1,1081,340780,596588,145655,-1,-1,-1,86092,-1,-1,362352,-1,-1,-1,443921,595199,180061,-1,584684,-1,-1,396030,748979,-1,-1,-1,-1,436558,763716,473575,-1,942935,631581,451325,-1,107245,-1,-1,292593,917884,-1,-1,-1,823144,-1,654957,575741,-1,-1,-1,277380,-1,-1,921361,-1,653818,727108,401588,290006,629030,-1,417738,-1,260827,142215,261994,-1,956014,-1,680181,-1,716067,803243,840204,714070,619434,-1,-1,92117,-1,-1,160111,-1,-1,288552,105452,-1,-1,-1,-1,380929,-1,471736,592143,-1,486485,703865,28456,-1,-1,674071,-1,-1,-1,-1,315014,778424,707124,662761,-1,251208,916684,884627,650724,937361,874640,207045,-1,-1,-1,527757,969540,710586,827050,-1,996065,697177,-1,-1,600003,-1,-1,-1,772027,-1,-1,30608,130205,-1,-1,-1,737536,380107,884961,558907,-1,463755,168678,-1,53991,-1,950427,-1,-1,981135,435286,-1,58319,510349,-1,264190,817493,-1,-1,-1,505698,873409,-1,-1,-1,621944,-1,488986,147883,-1,673686,-1,-1,-1,459823,50697,-1,346106,200337,-1,-1,-1,-1,-1,717713,419245,-1,454924,224353,51993,-1,-1,643872,736997,-1,69211,-1,863301,-1,-1,98013,-1,702426,252740,137445,-1,19643,-1,-1,816346,-1,-1,-1,-1,-1,-1,551795,805532,496827,156543,-1,-1,-1,987335,-1,-1,467352,39401,789167,-1,392724,-1,358505,677764,-1,400421,301401,-1,-1,-1,-1,306192,-1,-1,359256,-1,130341,491511,-1,-1,-1,459688,989432,-1,-1,-1,-1,-1,-1,-1,-1,77502,-1,-1,-1,923008,-1,419779,320932,731726,121419,-1,-1,-1,767420,-1,629125,-1,85990,584451,-1,187723,-1,500473,-1,585766,656736,-1,-1,338643,-1,-1,-1,-1,-1,-1,743204,769612,274530,104024,-1,61621,495892,664349,31254,5207,693928,205101,589414,754991,293886,975385,-1,-1,984024,-1,575137,-1,241252,46546,977505,914414,-1,440488,674864,366942,-1,23012,431211,-1,-1,998374,440363,-1,465523,884985,944745,-1,-1,463848,-1,739721,597212,-1,-1,444456,843237,-1,-1,325286,-1,936666,-1,-1,389312,-1,-1,-1,-1,-1,739423,-1,343442,136977,370673,-1,-1,732419,-1,-1,-1,199004,-1,-1,-1,-1,-1,-1,-1,76059,-1,761640,-1,944140,-1,128539,797857,887545,-1,-1,378949,783675,502253,-1,706763,644492,-1,-1,206168,-1,919709,901365,68601,474666,-1,867265,245160,929428,606472,371324,976410,-1,-1,155916,-1,-1,-1,345963,-1,637582,324973,-1,-1,-1,613500,132667,174405,87878,-1,-1,-1,-1,916620,-1,43807,-1,834934,841405,976835,-1,-1,507312,-1,-1,718887,-1,875140,-1,-1,203855,-1,-1,-1,-1,-1,-1,186506,-1,712228,-1,-1,-1,-1,-1,-1,-1,117950,-1,384496,531870,102109,-1,-1,-1,485222,-1,917459,-1,-1,-1,-1,-1,-1,-1,-1,642497,388480,55618,848155,-1,-1,806552,-1,816983,230270,-1,-1,312918,-1,-1,-1,-1,944336,-1,-1,-1,428348,-1,900517,-1,710837,-1,-1,-1,-1,774332,261698,467990,750458,-1,-1,399525,104335,121729,851411,953856,-1,545480,622074,-1,-1,-1,-1,-1,686622,-1,772295,-1,137771,-1,-1,-1,520710,-1,-1,-1,-1,831619,-1,130028,-1,421946,-1,-1,706369,-1,-1,258528,-1,-1,-1,-1,515215,779769,687088,21928,-1,717557,196106,-1,-1,-1,-1,878064,-1,855824,208098,375532,632680,-1,-1,185432,304227,153098,-1,-1,-1,-1,-1,-1,-1,503587,123324,212414,543208,619378,-1,709147,536441,185670,707865,-1,820136,929991,-1,-1,101865,-1,-1,769052,159227,-1,624220,-1,329056,-1,745977,-1,-1,179300,-1,-1,760843,45991,691991,-1,196912,-1,880505,210042,-1,-1,-1,868917,436348,142807,-1,-1,-1,-1,502561,-1,582288,931257,243421,460501,524540,552444,-1,-1,-1,144032,-1,88448,-1,928215,98693,133891,522945,-1,-1,-1,886530,624974,-1,-1,-1,-1,173136,957717,-1,698912,886254,375678,282306,-1,452154,-1,252897,668763,-1,-1,-1,-1,-1,-1,933013,279601,412796,-1,617898,77454,-1,-1,-1,-1,-1,478891,-1,-1,-1,500177,409679,-1,679979,-1,281000,-1,788702,-1,-1,316819,-1,-1,-1,725230,-1,-1,-1,-1,537392,650411,-1,-1,-1,-1,227900,958020,-1,-1,-1,-1,-1,535182,79081,-1,688770,-1,-1,540744,557593,110676,-1,734644,-1,-1,-1,733444,129783,522840,-1,725783,-1,55839,647205,413688,-1,-1,582889,838069,-1,-1,-1,-1,-1,-1,472030,-1,-1,-1,368487,-1,-1,-1,-1,-1,339803,-1,-1,-1,-1,590150,438850,-1,-1,654566,-1,290720,-1,464107,498796,-1,160225,-1,-1,460460,314407,141117,-1,-1,-1,557497,148860,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,240569,925973,635695,342083,-1,-1,178057,934485,-1,-1,-1,-1,-1,714099,462815,807872,-1,-1,410905,91167,-1,-1,324465,-1,617346,-1,762091,-1,-1,-1,-1,96832,-1,609669,489287,266702,-1,-1,151264,-1,992132,907996,-1,37678,-1,-1,-1,-1,301878,506636,-1,884706,922072,-1,-1,954593,486061,-1,620183,293735,879354,958789,429520,633473,284633,668273,-1,-1,883492,112315,699251,622094,-1,226884,-1,-1,-1,998942,-1,786780,-1,590917,-1,204962,467649,-1,795384,559536,369709,-1,-1,-1,334759,-1,238487,330744,-1,192525,795215,-1,-1,948061,239900,-1,475553,648906,-1,330822,122094,-1,-1,77325,-1,968735,-1,524239,-1,-1,845095,652307,-1,964088,-1,679552,361555,439811,938668,665086,-1,-1,416719,-1,626125,980590,418012,-1,-1,419256,-1,-1,107956,-1,446598,-1,-1,106166,253979,-1,-1,406656,-1,-1,381186,-1,906872,-1,-1,86658,26270,173312,333092,27117,65424,-1,888496,-1,56916,911217,-1,-1,-1,-1,691440,280316,-1,-1,508382,350220,963660,361078,-1,-1,855666,740020,-1,-1,541990,655317,544655,-1,370897,-1,-1,21795,-1,-1,461899,248276,503175,-1,-1,24586,-1,-1,-1,-1,603167,-1,496835,-1,409602,258767,808840,-1,-1,-1,685316,957114,425379,816128,988874,919385,-1,-1,873426,75370,958231,-1,832399,718320,435227,590732,132232,590483,702220,797428,750657,916737,579546,-1,-1,-1,-1,5529,-1,353652,758655,709330,865510,-1,-1,935230,787159,-1,-1,-1,-1,49665,747130,78362,-1,-1,-1,305506,-1,-1,-1,-1,-1,429003,-1,-1,-1,691301,-1,-1,251647,858648,-1,846572,882741,546837,-1,880276,-1,939186,-1,-1,-1,-1,482833,952988,-1,-1,-1,-1,-1,-1,-1,305240,231639,-1,-1,31388,87181,-1,7367,-1,171425,899697,-1,-1,52833,610182,848249,-1,841361,116414,-1,-1,-1,-1,429893,-1,509101,-1,-1,827876,265416,-1,203676,426626,-1,377115,668478,-1,38148,-1,388378,743462,826288,29997,463305,-1,-1,468137,-1,789483,-1,-1,115799,-1,660937,-1,143081,90172,253566,672230,536084,-1,782013,250504,-1,-1,94080,-1,536765,-1,-1,-1,984275,779359,590782,978681,920788,415854,-1,952897,-1,715621,27236,-1,-1,558662,945194,167615,-1,-1,849369,934161,-1,-1,110505,205654,-1,-1,751550,19228,562418,783225,-1,800697,-1,-1,245162,288576,279501,244803,-1,-1,218480,52076,888752,380518,719529,485197,-1,-1,-1,432535,-1,-1,-1,757327,361361,881654,195423,-1,-1,589544,-1,102679,108250,68165,-1,944833,328232,88603,113265,-1,-1,-1,-1,296300,350691,209905,-1,983231,407290,734294,-1,702257,-1,-1,263298,-1,620114,-1,144256,50512,-1,577740,-1,-1,436067,-1,-1,491141,-1,171552,327370,-1,-1,-1,-1,-1,-1,-1,-1,447475,-1,628456,613020,445967,-1,-1,118129,686338,-1,136923,-1,684638,649820,68463,807936,-1,411812,-1,-1,91045,759743,969590,-1,-1,-1,-1,360837,-1,-1,226298,393483,-1,656116,85317,-1,117798,220435,13582,927230,-1,-1,-1,-1,30991,545284,-1,-1,-1,752007,-1,178275,836486,802929,-1,189687,-1,-1,-1,-1,544678,774288,-1,-1,-1,466848,701778,-1,-1,-1,-1,-1,-1,937086,731844,895940,63519,-1,982433,-1,116435,817741,713528,962975,-1,-1,489027,626463,-1,941660,-1,569212,114169,363491,-1,-1,-1,684439,137958,438744,545281,974952,-1,686937,-1,928929,-1,-1,68384,-1,-1,-1,-1,479372,-1,-1,801291,913831,-1,-1,206402,-1,572400,-1,-1,-1,-1,683512,-1,-1,-1,188643,978534,-1,-1,579579,-1,681225,358835,556393,-1,-1,-1,-1,-1,742636,762845,-1,-1,-1,-1,722858,-1,-1,515871,-1,-1,507385,-1,964219,476204,66391,21653,-1,-1,595615,726974,-1,304978,-1,-1,-1,-1,913653,-1,-1,417512,561764,-1,-1,785323,226747,169972,686043,369708,-1,132301,341898,-1,-1,330657,88527,23111,-1,834404,-1,176669,308762,194105,-1,-1,-1,65472,413641,447740,-1,318972,446631,-1,842943,658012,93995,-1,-1,-1,714809,13350,849839,-1,-1,-1,154809,-1,481979,-1,25293,-1,922447,-1,-1,524176,-1,818014,-1,-1,-1,298671,57144,326532,525973,774336,299688,-1,680136,-1,-1,878119,-1,-1,-1,-1,-1,-1,-1,-1,267978,-1,403056,-1,-1,7263,-1,308398,968123,384539,268855,-1,-1,-1,-1,-1,-1,734171,-1,659411,292874,216204,384894,987943,-1,-1,-1,893187,583327,-1,-1,88948,224261,-1,-1,-1,-1,888412,74265,596208,917386,516719,-1,980057,-1,-1,-1,743026,-1,-1,106728,556740,210051,-1,414646,185884,966824,154401,-1,84839,-1,970367,496808,-1,-1,-1,318457,730463,-1,-1,-1,27706,556411,727939,548741,-1,-1,436057,-1,-1,114710,-1,-1,-1,26317,301265,951021,-1,138357,-1,-1,255253,-1,-1,-1,-1,156161,597210,-1,-1,319849,-1,123876,-1,338471,692185,-1,136714,251569,-1,77149,484783,715077,-1,466390,618433,495754,-1,-1,278133,-1,464965,331170,326637,472627,149491,28080,-1,45893,974103,-1,318209,-1,186367,-1,92818,266967,-1,-1,-1,558560,-1,318025,509696,205099,753152,-1,478667,548426,13733,74208,-1,-1,-1,-1,-1,-1,-1,3129,-1,-1,106068,29648,-1,-1,536613,-1,813777,-1,806747,576966,-1,971634,932602,-1,789884,-1,-1,14208,-1,-1,277685,882397,-1,-1,-1,373646,298890,-1,285654,-1,546148,868824,-1,6158,618236,186943,180557,-1,-1,-1,156777,-1,-1,-1,-1,894431,-1,-1,-1,-1,347180,-1,-1,-1,-1,514632,-1,-1,563319,972222,-1,-1,-1,-1,427353,-1,-1,459951,226102,254780,581947,968019,-1,-1,682278,812470,-1,-1,-1,697062,282578,-1,-1,578693,718084,880891,-1,-1,-1,708428,-1,-1,-1,-1,-1,374651,-1,520681,-1,-1,776517,-1,-1,398731,481858,-1,251598,-1,-1,-1,202456,986896,-1,-1,342826,-1,-1,220405,-1,-1,-1,153799,-1,632947,719752,-1,-1,82583,880847,871787,-1,894050,917591,-1,166204,-1,-1,108754,-1,32738,-1,442055,91244,-1,-1,657891,-1,-1,715154,-1,990706,-1,-1,-1,227581,481266,991656,-1,722611,713155,-1,288930,-1,-1,-1,234955,426936,462399,-1,-1,-1,-1,982777,-1,665802,-1,-1,-1,328032,-1,575400,781455,-1,388256,894291,-1,46327,-1,117531,246628,-1,-1,726407,34384,581450,-1,64316,-1,594140,998686,-1,-1,-1,560886,-1,-1,813307,584079,112876,954315,822474,-1,-1,472186,-1,602242,903273,-1,847587,-1,711955,642721,680111,-1,882858,-1,-1,-1,716987,-1,337280,-1,299599,-1,-1,-1,289793,162088,379783,360052,-1,-1,251596,-1,471054,-1,897994,-1,635285,588092,606835,-1,-1,461062,486338,541261,-1,-1,197772,951183,467626,-1,-1,895496,915831,212636,-1,-1,-1,-1,285769,-1,238705,741049,-1,-1,939985,-1,-1,396080,218058,-1,215270,184600,726756,630236,247016,686777,-1,-1,-1,646915,479994,875302,-1,-1,503720,470461,-1,-1,74365,-1,-1,441325,599251,42656,820591,-1,149349,146984,714334,234169,228805,513295,978894,-1,844071,234379,-1,-1,-1,159070,-1,117948,98236,806767,839496,-1,-1,-1,-1,-1,-1,-1,196817,151388,-1,-1,746931,944000,368410,608850,-1,-1,-1,-1,679990,-1,-1,-1,-1,58130,-1,-1,-1,565845,270934,-1,175462,298316,206700,-1,-1,462854,735252,-1,245349,-1,-1,778421,-1,650771,-1,739771,-1,759110,784647,-1,929017,-1,-1,626095,-1,-1,-1,803889,-1,-1,-1,-1,594743,-1,-1,-1,-1,530183,-1,443989,267910,-1,-1,-1,-1,126378,-1,609939,-1,343363,-1,44494,358791,583093,-1,-1,807500,-1,826932,372600,431379,-1,76400,442459,25139,900536,121868,234409,598351,524198,834398,-1,-1,806362,-1,-1,355733,367558,466432,-1,-1,-1,994806,48829,-1,839265,362121,189982,660631,193466,709933,-1,-1,929675,641645,-1,-1,214161,-1,103189,897002,194131,-1,-1,-1,52459,593615,814636,-1,315733,-1,-1,-1,472011,-1,616436,-1,-1,718752,-1,-1,-1,244551,-1,769073,-1,370789,951854,542255,-1,675941,847699,619457,-1,-1,186978,-1,-1,-1,197046,-1,-1,700738,-1,121604,426080,325587,-1,976659,-1,719813,494763,-1,591148,-1,-1,587056,139203,-1,-1,-1,29262,644060,-1,807095,190253,737764,418992,-1,-1,244795,5166,-1,832306,-1,-1,-1,174163,302689,253124,-1,-1,-1,-1,696232,-1,617709,-1,-1,-1,-1,705502,-1,-1,-1,-1,2769,-1,863290,-1,-1,-1,867119,142303,-1,-1,-1,-1,892180,-1,-1,-1,-1,-1,578667,335,284188,-1,-1,-1,76107,821403,-1,-1,-1,-1,705963,-1,755885,-1,-1,971701,508801,-1,904690,-1,531277,-1,892044,611300,-1,915336,-1,518424,-1,212008,460305,40401,-1,-1,-1,-1,959032,51320,-1,-1,-1,-1,-1,-1,-1,714277,-1,-1,217569,-1,757157,290610,168298,885710,295329,636564,-1,-1,-1,409677,133598,266911,-1,430737,532190,-1,467318,561695,-1,865475,403140,-1,-1,-1,-1,912845,949576,296980,816551,-1,586177,-1,272552,873972,767308,531191,-1,355944,-1,-1,267169,615936,-1,-1,440555,-1,770935,-1,-1,806299,333331,-1,-1,65937,714348,295716,913192,887532,253539,950413,-1,-1,746673,-1,-1,572402,-1,-1,408653,791180,938498,126736,133147,-1,-1,-1,-1,-1,475386,937599,614904,760562,-1,-1,427651,502944,-1,-1,-1,97524,379389,685289,973958,523192,652950,-1,557725,16792,730980,83541,619466,344140,189013,67887,635938,-1,-1,770534,-1,421184,319632,413807,-1,-1,864954,103911,-1,769995,-1,194705,219106,-1,-1,366041,986011,-1,103256,-1,263967,-1,930452,-1,-1,511080,705215,227481,-1,-1,-1,-1,103984,-1,509871,-1,-1,479513,-1,635017,-1,-1,-1,-1,693043,-1,751461,463148,749292,-1,-1,151370,257603,-1,-1,134476,700834,694022,844574,37929,320627,-1,-1,-1,160708,499956,37787,-1,-1,-1,-1,-1,-1,623370,-1,-1,-1,-1,-1,-1,162607,-1,661581,-1,-1,-1,807998,955744,-1,-1,-1,379011,3803,-1,-1,-1,-1,980979,-1,215159,-1,-1,923347,268908,-1,150953,967953,147827,381646,190106,-1,914136,-1,873366,424836,499372,-1,-1,195674,-1,-1,940938,-1,227253,-1,-1,-1,817775,124173,909536,524761,75839,-1,91625,72679,-1,440246,723301,-1,-1,-1,854895,-1,705198,-1,-1,-1,329613,31697,608362,-1,415188,399948,475810,453948,200898,-1,-1,-1,212954,826943,762206,521946,-1,-1,554121,213378,-1,-1,-1,20041,-1,-1,-1,-1,377901,211337,-1,-1,137301,189471,307810,675546,796763,-1,-1,-1,-1,-1,-1,431761,660197,938201,-1,-1,-1,-1,-1,-1,595623,177837,648809,592644,-1,881408,405271,-1,39648,-1,-1,914179,877420,382831,-1,-1,444312,682521,-1,457571,-1,-1,327463,-1,-1,-1,521094,586455,-1,-1,-1,962542,-1,-1,-1,424261,830360,592138,687048,-1,-1,-1,315898,360977,-1,32199,-1,914535,-1,730730,894962,902725,-1,722120,243977,7464,810575,174937,-1,-1,-1,593873,-1,-1,171581,695967,-1,-1,-1,-1,554325,-1,46577,-1,369683,951630,-1,-1,-1,814480,-1,-1,421156,-1,-1,-1,999911,-1,628312,19531,-1,-1,-1,-1,915748,713774,597505,342275,-1,251443,-1,-1,458894,-1,-1,446465,490736,161587,-1,491275,147161,-1,929804,76289,-1,316142,-1,-1,-1,-1,-1,738782,-1,-1,-1,-1,-1,81120,199360,786445,-1,323579,-1,-1,-1,503095,-1,-1,-1,612021,-1,-1,184090,54047,-1,-1,-1,-1,-1,-1,-1,-1,787997,592899,-1,-1,287484,-1,971161,-1,-1,563191,-1,-1,311766,-1,-1,-1,832547,-1,-1,750995,-1,775681,439712,861717,-1,257148,-1,903582,233537,-1,-1,988899,-1,-1,-1,130596,-1,636276,73930,-1,917622,-1,-1,-1,-1,315161,-1,-1,73399,126196,107108,704290,-1,365856,-1,479809,26948,638349,768149,-1,303780,872232,-1,266494,-1,371599,-1,-1,-1,512425,-1,-1,-1,923727,641252,-1,-1,-1,947049,922819,723684,-1,-1,-1,507594,573180,-1,65801,-1,-1,839128,3668,652136,574343,928338,605372,-1,454267,226278,-1,-1,-1,323337,-1,543829,821968,488716,650484,205520,-1,-1,-1,-1,-1,830584,-1,404531,482963,-1,953048,89283,-1,999092,-1,-1,373107,-1,-1,731150,-1,-1,-1,830519,-1,990040,372424,-1,185207,-1,390436,-1,-1,735190,-1,492979,752450,363911,-1,-1,-1,-1,-1,873174,-1,-1,229407,-1,895981,-1,734596,-1,158700,-1,-1,510012,113960,-1,797815,-1,-1,-1,-1,-1,208020,125030,-1,314878,-1,852007,-1,-1,-1,430773,-1,996047,-1,552107,94446,-1,-1,-1,-1,39059,926379,-1,-1,-1,24398,-1,-1,-1,966877,-1,-1,282214,-1,-1,-1,915311,-1,497627,517061,-1,-1,-1,-1,-1,394054,-1,-1,-1,-1,-1,736698,301620,471853,-1,-1,350287,948412,-1,346157,17473,-1,492055,-1,-1,-1,131270,184114,575998,-1,-1,87035,325872,-1,367121,-1,1073,921281,903875,-1,414546,-1,-1,495986,-1,881551,-1,45831,901837,461818,-1,-1,850983,-1,-1,-1,546474,-1,296479,881476,278711,-1,270657,-1,170720,112719,-1,-1,348812,-1,-1,-1,17983,-1,-1,771036,-1,-1,-1,774968,-1,478411,725071,-1,907290,498912,89663,611427,-1,-1,-1,-1,-1,-1,921886,647455,987629,-1,-1,59787,-1,-1,-1,271876,-1,-1,396004,669092,233476,382559,-1,496725,-1,98906,289907,-1,902042,692480,707313,129935,236242,870385,-1,942152,-1,-1,-1,-1,-1,64664,626086,952654,-1,117062,-1,525324,-1,-1,776439,-1,-1,222919,-1,-1,730866,900042,-1,-1,930850,481341,765497,921869,610749,-1,438218,-1,444166,-1,776846,325545,-1,34073,-1,344181,158159,-1,87241,820663,-1,393700,550253,930551,57790,496966,-1,686277,-1,-1,152629,-1,-1,452859,767130,-1,207025,-1,-1,-1,-1,13866,-1,478530,178024,-1,-1,398832,848687,693442,-1,-1,49806,110649,-1,257741,176884,-1,-1,843699,-1,-1,-1,150255,302121,877731,102303,-1,-1,596494,654491,-1,290854,-1,954673,-1,465502,-1,-1,312325,-1,-1,881488,238468,-1,-1,222909,720661,4891,574039,137828,-1,447445,480141,-1,661891,213661,536019,689383,-1,-1,-1,-1,960915,723658,444799,-1,-1,-1,688789,892673,931343,-1,-1,510449,-1,573315,-1,-1,290981,-1,995407,-1,751078,259436,193743,334808,416562,365049,-1,112050,83636,368599,621740,377620,-1,-1,775065,-1,42856,137028,526881,607642,443567,-1,-1,-1,-1,174400,677731,-1,-1,-1,901012,-1,-1,723553,-1,-1,-1,163850,363763,-1,-1,-1,785832,-1,679207,950180,923431,-1,-1,-1,-1,-1,-1,421801,420993,121795,407981,-1,227694,925188,-1,160598,238029,946283,-1,493023,472199,-1,-1,609268,-1,814197,-1,-1,-1,30875,936689,593867,-1,566215,-1,106678,195065,878027,-1,-1,448742,511747,967593,-1,852605,257737,-1,-1,-1,660460,-1,-1,-1,-1,-1,826249,-1,-1,-1,-1,-1,553848,-1,796909,-1,-1,-1,-1,-1,535778,-1,787520,948099,-1,-1,290946,-1,128431,252790,-1,-1,437576,948800,287051,106749,-1,-1,-1,548830,745332,-1,-1,911939,-1,-1,527977,674839,-1,-1,191493,-1,326105,-1,-1,-1,70849,262015,578008,469098,439262,-1,176302,-1,-1,-1,-1,-1,-1,529383,139036,-1,379218,-1,343792,-1,-1,-1,-1,703302,-1,398417,238611,940038,-1,-1,-1,-1,-1,-1,882362,-1,-1,-1,810304,-1,724193,-1,459548,57599,445378,-1,-1,632215,-1,-1,77382,-1,133649,353548,731147,-1,965463,718337,-1,470972,916110,-1,-1,-1,720418,253524,-1,-1,-1,310901,727104,-1,-1,-1,350671,-1,455764,704527,-1,958968,-1,-1,-1,976777,285308,596806,-1,-1,-1,-1,553747,-1,315149,337232,332798,787691,-1,-1,-1,730004,802533,637857,12557,257338,-1,-1,277782,297370,-1,905255,-1,888503,-1,-1,-1,-1,-1,44571,375771,-1,-1,765880,258078,570012,-1,355258,810451,-1,125980,-1,693792,-1,470608,-1,161978,-1,-1,-1,-1,-1,10562,532351,-1,732469,282977,321832,-1,998116,-1,-1,-1,-1,578832,-1,947920,173714,429897,528991,-1,-1,-1,-1,-1,657650,-1,-1,879328,-1,724587,126933,-1,548671,69089,715270,-1,-1,629023,953196,996296,-1,963488,719711,335009,-1,-1,462873,-1,980073,-1,-1,-1,747628,826462,-1,295317,371575,402086,623634,-1,-1,788892,863221,-1,264532,-1,-1,503074,-1,-1,-1,417364,160758,-1,549480,320944,369580,-1,-1,176100,627627,549922,434255,-1,97003,-1,-1,558600,24214,855526,176798,-1,368352,834215,-1,-1,448338,389695,154439,63664,331082,-1,726036,342471,-1,62509,53557,-1,207058,528938,-1,839507,721005,327480,77269,-1,-1,-1,-1,-1,-1,-1,-1,939055,384106,-1,63579,-1,-1,460595,889515,-1,-1,-1,-1,-1,932852,193384,318535,368916,843747,710685,708813,429648,885100,82852,-1,170722,710378,52373,685685,-1,414382,371349,-1,328777,71878,-1,422415,-1,443930,-1,-1,-1,-1,567420,-1,326330,-1,538968,871498,942279,-1,-1,974440,544396,-1,-1,627254,-1,-1,412691,-1,-1,107292,890916,-1,-1,87869,325795,-1,875183,-1,719489,-1,693879,-1,-1,-1,480663,-1,103553,-1,-1,-1,516931,-1,-1,-1,178741,614839,29814,-1,-1,852889,-1,983849,433912,216637,253351,494989,-1,192488,-1,-1,718201,-1,-1,-1,102693,-1,-1,783041,-1,647558,-1,126304,218799,-1,-1,246744,558847,-1,-1,-1,-1,-1,734472,-1,-1,678093,76664,-1,468380,464295,671054,541010,586821,651044,653867,-1,-1,-1,-1,816775,636329,357768,141882,-1,-1,741127,-1,528322,-1,702789,-1,308434,718227,-1,-1,235819,374675,-1,-1,870401,406882,25824,950476,393328,-1,499529,-1,372385,-1,320504,-1,-1,972829,-1,984266,-1,286708,-1,409999,820753,-1,41360,-1,390322,842808,-1,750511,740820,730366,-1,-1,395157,-1,75502,124536,-1,586807,667922,-1,563688,673553,909421,-1,-1,-1,70718,-1,701551,-1,629347,579135,-1,232865,-1,-1,-1,581466,544130,-1,961373,349403,972759,169618,-1,582899,556822,236912,872650,-1,964700,34098,-1,496595,406296,450839,-1,-1,-1,924985,743610,249751,-1,929034,-1,-1,801197,580180,228430,-1,776246,77641,-1,-1,20697,153808,141816,631003,-1,-1,-1,138851,-1,224599,921476,-1,-1,-1,-1,-1,-1,-1,-1,579395,-1,-1,-1,-1,-1,992358,818277,900259,-1,782862,-1,-1,598886,129971,884757,-1,646823,-1,-1,-1,-1,229834,-1,875647,-1,781013,16737,-1,-1,-1,-1,475282,-1,-1,-1,305565,766520,772060,-1,-1,945585,371504,-1,794111,181543,931785,369110,-1,753724,516939,741283,338301,-1,621708,-1,-1,203182,-1,-1,748471,452648,-1,866588,625955,-1,962926,233555,289582,579380,-1,987338,-1,-1,-1,768870,663127,179425,573679,598225,-1,352976,-1,-1,760861,-1,-1,-1,73369,367294,-1,545608,-1,-1,-1,-1,-1,838841,168734,-1,-1,-1,77360,-1,-1,-1,701302,-1,831951,-1,-1,702633,671215,-1,-1,-1,726474,-1,606201,985407,-1,-1,-1,-1,485628,581932,474512,-1,59216,695069,837447,-1,-1,-1,-1,-1,-1,-1,-1,-1,876625,314802,-1,304630,-1,-1,195654,-1,653073,570336,-1,-1,300723,677884,656229,-1,414962,271458,-1,137884,486618,-1,-1,-1,886205,849238,-1,-1,-1,46968,-1,-1,-1,790936,596474,-1,-1,-1,-1,-1,-1,859313,919460,-1,421089,-1,-1,-1,-1,-1,-1,215243,950526,171656,-1,-1,-1,-1,-1,835044,397149,-1,311754,392457,784474,601932,-1,-1,-1,741593,764612,476604,146225,-1,-1,838251,209634,220584,-1,939738,-1,-1,-1,-1,995599,-1,206877,-1,730437,517288,-1,333961,-1,513972,-1,-1,-1,-1,-1,493324,-1,889912,-1,-1,523067,325958,-1,-1,475489,-1,947930,1528,110,260989,309950,995874,-1,117357,39374,-1,292183,147851,205790,371391,-1,647831,-1,-1,-1,-1,-1,-1,-1,483109,293245,213356,527544,415241,370911,-1,-1,40929,864031,69901,463823,188945,-1,969664,-1,684129,-1,70286,12907,42926,-1,999898,-1,-1,-1,989289,-1,-1,613743,-1,41517,-1,738241,187643,735586,713767,-1,260333,977889,-1,-1,-1,802131,-1,-1,-1,-1,636331,31366,484358,-1,120578,-1,-1,-1,488151,293220,58794,354799,522264,433498,18901,-1,-1,274881,626671,-1,-1,-1,-1,262228,654687,-1,-1,377700,-1,703004,301995,482866,-1,971549,-1,-1,-1,359023,-1,123449,-1,-1,409609,972785,-1,17017,-1,332546,-1,684901,-1,-1,-1,350054,-1,637888,-1,83388,-1,807688,114251,-1,414542,48846,653322,-1,-1,420836,484589,131110,-1,699129,738651,-1,858459,-1,-1,827870,520637,692275,817107,663128,-1,694426,41912,-1,754933,973159,-1,-1,497141,-1,-1,-1,448488,364271,-1,277402,398395,-1,434767,-1,-1,945101,-1,158689,254269,-1,-1,-1,756039,927425,970394,-1,-1,806521,-1,804877,-1,-1,846222,999138,298208,-1,405712,197511,875792,626171,36107,133434,-1,91514,533599,-1,324097,430781,556993,-1,-1,-1,843535,176997,-1,139012,312828,704394,-1,972058,388809,-1,248089,365902,84591,107230,-1,686393,303369,175105,132324,212544,-1,982788,-1,-1,303487,-1,790999,-1,-1,-1,-1,-1,804222,-1,-1,82172,265201,192344,-1,671895,699594,336765,-1,-1,319667,661892,-1,955934,-1,-1,-1,-1,-1,539196,-1,470341,-1,-1,-1,-1,884314,-1,126395,756110,-1,-1,504433,-1,-1,436149,386069,-1,-1,-1,532192,-1,863621,-1,-1,795706,935175,-1,464836,646917,-1,267030,498649,-1,-1,-1,-1,908206,698779,813333,266380,552441,-1,-1,603172,468758,77510,276842,-1,-1,72138,588348,354386,662384,82301,729408,-1,589107,-1,920009,-1,879096,-1,-1,553399,-1,-1,-1,-1,-1,722752,-1,-1,39247,822693,614722,-1,-1,-1,-1,224965,-1,-1,-1,-1,260818,703821,-1,-1,874241,679301,750091,-1,168111,-1,-1,-1,-1,-1,191659,-1,-1,-1,279141,719097,197303,-1,53781,120972,260687,-1,-1,-1,-1,-1,572292,-1,-1,442089,-1,-1,-1,97991,-1,751320,748573,121424,-1,-1,-1,714229,310194,245731,-1,-1,-1,714773,-1,-1,185288,415679,-1,-1,-1,-1,831766,779339,693793,-1,337934,461065,-1,-1,290842,-1,546717,-1,-1,505226,-1,-1,-1,-1,125695,244636,-1,-1,990862,-1,197873,-1,-1,332039,-1,-1,306088,196014,696383,-1,-1,-1,408638,935899,576211,400989,463249,-1,-1,937180,-1,-1,628374,390860,-1,-1,894218,-1,-1,220859,123790,742022,576799,767729,653265,-1,727392,563785,224602,142850,-1,158311,291931,209800,769972,605955,162791,58761,-1,-1,291939,-1,330111,-1,-1,-1,-1,811425,-1,-1,-1,630953,-1,-1,-1,815994,426353,412509,-1,-1,-1,-1,880210,2677,-1,83937,-1,-1,-1,-1,-1,238273,-1,181607,203973,-1,-1,918697,930713,-1,727924,908624,-1,373820,251639,706031,-1,-1,765976,262731,131649,519632,-1,-1,-1,760608,447976,-1,-1,-1,632975,-1,-1,640532,380010,489046,-1,-1,-1,265217,-1,-1,273977,-1,243596,-1,-1,632255,575779,476336,-1,373447,22723,109415,411592,-1,-1,-1,262493,-1,-1,601516,-1,-1,-1,-1,378036,458328,103817,936304,-1,462661,-1,177317,-1,610757,-1,556440,136836,-1,38291,-1,223511,451465,379140,-1,625709,803165,-1,987574,-1,-1,-1,590211,-1,-1,-1,352110,-1,-1,-1,367139,660335,-1,457528,-1,782443,614976,-1,-1,742452,-1,120914,-1,870537,-1,-1,641681,692818,387700,221585,156776,245012,941830,248811,662834,873338,996485,896220,-1,-1,982697,557723,-1,393473,620231,-1,-1,805175,60840,-1,-1,-1,191321,759910,553218,134480,-1,-1,705762,677710,748361,-1,-1,527540,-1,721006,729694,264630,966715,167618,-1,-1,-1,-1,289953,-1,287970,111428,364729,51198,800826,352869,-1,709892,-1,-1,813011,-1,-1,31574,-1,991263,30154,199903,-1,889136,-1,536932,704297,388957,952474,-1,-1,943584,943901,64025,467215,-1,454607,-1,726656,-1,600186,-1,-1,-1,891237,-1,5700,-1,856089,240293,271689,709755,946650,901976,-1,-1,-1,-1,-1,982080,971061,872238,672079,-1,-1,-1,158180,-1,-1,585480,779095,707182,-1,768375,-1,-1,-1,611945,777604,-1,-1,856143,115695,602417,-1,-1,-1,-1,4095,-1,566698,806385,-1,-1,-1,-1,816818,613967,368592,751070,-1,249021,-1,-1,-1,-1,416121,-1,627643,-1,918041,657381,-1,970320,-1,698827,-1,433222,-1,-1,-1,-1,-1,445340,-1,344163,648772,-1,313538,600414,-1,277767,-1,-1,-1,-1,402658,-1,612688,-1,-1,643504,-1,-1,-1,-1,-1,-1,227369,685023,-1,41419,-1,117321,-1,-1,235546,-1,432382,-1,571015,-1,-1,-1,328547,721346,-1,-1,-1,996166,-1,-1,510997,148213,-1,351934,222291,986600,-1,645140,33871,-1,-1,-1,631981,393926,632245,-1,-1,222540,-1,-1,535994,788050,612932,-1,423500,695504,218806,322259,-1,200063,-1,436856,53634,873648,675880,457724,-1,-1,-1,957167,563805,-1,-1,-1,-1,-1,-1,912111,531075,918051,-1,29787,-1,-1,667867,393016,934583,-1,-1,-1,-1,-1,741595,-1,-1,-1,261036,-1,-1,-1,-1,107744,250914,-1,-1,148654,843384,142037,-1,-1,-1,740963,193130,740379,-1,163413,-1,800929,81794,960082,724187,569176,250487,245050,-1,16841,-1,757664,788416,-1,985487,-1,105517,-1,-1,-1,-1,645021,-1,149267,-1,-1,-1,-1,955254,317676,-1,-1,749249,-1,-1,438362,-1,-1,-1,-1,-1,-1,913524,-1,36245,780867,972360,-1,-1,450190,768044,185608,-1,511494,-1,-1,606674,370369,982075,-1,-1,918946,-1,401554,-1,-1,918109,-1,-1,-1,42738,-1,-1,-1,965137,-1,613391,-1,913214,-1,518259,-1,-1,-1,902074,-1,177842,979044,907049,621257,438009,-1,629524,-1,415056,689125,38957,465287,376711,-1,102045,813740,-1,-1,-1,807653,281755,312619,101650,-1,-1,-1,698114,103820,-1,-1,149218,285403,260279,-1,-1,276204,634432,117771,-1,-1,-1,-1,-1,429594,-1,823358,-1,324166,-1,-1,-1,252358,29907,406391,571446,770118,671646,-1,-1,986305,-1,85195,-1,-1,363164,-1,-1,-1,-1,788852,289253,900874,787999,-1,-1,270039,831636,611043,-1,661755,113868,110097,286787,455719,300766,378200,-1,782583,781591,833459,303246,-1,419967,330312,-1,660756,-1,-1,149978,85561,33060,219947,726052,-1,-1,34987,-1,-1,660727,-1,136751,-1,-1,916205,180214,232525,158421,-1,339179,538079,865215,-1,693909,690401,563473,455802,718709,-1,-1,623276,562601,-1,-1,667708,-1,-1,781184,906516,849771,784971,-1,-1,82770,-1,-1,904105,802534,712417,745069,-1,-1,5908,399674,-1,845085,-1,644810,-1,993118,-1,-1,439373,-1,812309,302623,385470,-1,-1,687010,-1,865162,-1,40434,-1,207959,-1,-1,-1,723119,589171,-1,-1,320223,-1,123557,-1,-1,-1,350931,140730,571728,920098,-1,957536,-1,-1,533710,-1,-1,472130,-1,217216,212638,-1,760728,-1,19966,300500,966501,417894,-1,984274,808849,-1,494927,37060,-1,125083,959519,482608,121212,-1,229241,877376,607982,-1,-1,-1,-1,5747,751095,-1,267751,357003,-1,50155,648733,536633,-1,458409,418998,952188,459871,522554,-1,763369,-1,867733,-1,-1,-1,613141,-1,-1,-1,347452,-1,-1,770829,-1,508430,-1,-1,-1,323435,-1,-1,675022,-1,315154,-1,428644,585351,4021,-1,543756,122519,565395,-1,217139,97860,-1,-1,-1,96416,567081,161583,879244,913035,-1,-1,-1,-1,700552,245812,-1,670718,-1,-1,240846,-1,992356,-1,-1,420329,558722,-1,-1,-1,840235,582733,-1,-1,-1,-1,-1,-1,910047,-1,-1,991295,-1,-1,15403,-1,54832,681066,938742,-1,-1,205475,-1,-1,559853,536761,626748,4498,560909,-1,-1,884125,387107,315997,-1,669570,-1,830045,-1,-1,925764,740491,543970,919699,480887,977389,-1,-1,853301,835648,-1,145752,963414,-1,160562,195588,895518,-1,545751,-1,294725,172669,-1,900907,-1,601941,78124,911419,-1,419599,113087,-1,-1,-1,109264,-1,464216,-1,169881,-1,-1,173355,-1,-1,-1,-1,332831,-1,308223,-1,-1,-1,-1,168861,497021,-1,347931,-1,662019,-1,-1,-1,-1,769430,-1,965262,-1,185740,-1,65637,-1,957666,-1,464771,56161,861,729689,-1,296416,-1,-1,-1,-1,908829,274318,-1,286729,581651,260646,-1,382553,481237,574084,-1,-1,94105,-1,600134,485866,871303,-1,-1,438888,-1,-1,-1,-1,-1,-1,-1,608494,-1,-1,864200,324060,190321,769064,-1,88419,333379,-1,-1,-1,-1,-1,-1,-1,871325,-1,70420,-1,550235,380394,520617,592922,921139,2363,-1,-1,86,463242,260557,860124,-1,489026,323536,627402,796607,-1,-1,284769,715304,-1,352461,177678,664279,-1,621894,-1,311908,841895,365778,-1,600535,885375,462983,361150,-1,-1,-1,645923,39153,-1,477452,-1,-1,372330,73614,720342,-1,161945,-1,529162,725265,290296,-1,-1,-1,925110,616272,409147,65514,-1,-1,998203,-1,28904,103306,-1,132603,284857,-1,-1,-1,-1,-1,494328,264371,98403,-1,165346,775286,703343,689481,-1,654472,-1,-1,-1,-1,-1,-1,-1,-1,587567,12755,-1,-1,189318,-1,-1,729512,298927,-1,-1,230106,-1,855261,832900,935823,-1,790738,-1,134748,335754,322974,-1,241724,-1,-1,-1,621133,987923,65063,-1,495437,-1,-1,166909,-1,-1,-1,-1,-1,361753,-1,-1,909558,714273,272636,186426,368106,531074,565093,-1,674384,468020,-1,-1,454986,-1,702294,480879,-1,796781,-1,-1,-1,57278,811893,-1,-1,-1,-1,-1,-1,494672,-1,549476,-1,-1,-1,664473,-1,769784,610578,-1,-1,-1,-1,660952,4441,944824,-1,770818,15328,493701,-1,7207,-1,227463,850116,-1,387207,-1,-1,-1,-1,-1,709327,583506,-1,-1,413011,205235,-1,-1,-1,-1,-1,722164,-1,721968,-1,-1,-1,248674,469861,780786,-1,305013,352190,467395,363569,-1,-1,-1,73262,970355,-1,735424,294718,823795,-1,-1,357524,-1,271207,642080,-1,-1,80634,-1,-1,-1,-1,73519,-1,91851,741948,795641,-1,836433,-1,655943,386538,-1,-1,903849,-1,521144,542637,-1,-1,-1,-1,-1,-1,995284,-1,-1,-1,82637,504333,-1,56107,-1,733503,-1,-1,46740,816243,-1,399738,-1,985533,-1,-1,-1,584601,-1,-1,-1,622997,-1,55035,-1,222304,-1,-1,878419,724075,114853,-1,366119,-1,-1,706647,-1,-1,137674,211364,-1,-1,83838,379249,892372,762652,433321,-1,280900,-1,-1,-1,-1,-1,-1,-1,214322,583082,-1,282313,100333,84907,-1,646157,514679,962398,-1,551129,-1,596548,-1,427836,199993,-1,-1,-1,644080,-1,-1,-1,983807,-1,-1,790282,-1,-1,329560,923410,773043,645103,-1,714755,410669,527085,-1,-1,116246,130427,472275,361883,-1,111306,-1,294408,-1,37393,-1,-1,-1,-1,182854,975537,345353,-1,95604,62094,-1,-1,671756,777219,-1,-1,-1,604312,-1,725585,921122,301917,-1,130825,735888,-1,-1,-1,-1,328418,19383,-1,-1,182981,441662,-1,391498,960586,384196,733495,-1,-1,-1,177069,815849,779531,281964,251240,580352,127576,-1,410019,-1,524635,-1,527232,589525,901706,-1,-1,-1,-1,-1,789042,465007,-1,55187,7255,789561,-1,202192,678520,115920,-1,-1,-1,900650,496065,-1,-1,955345,-1,-1,-1,202328,-1,578352,682127,732204,-1,-1,-1,-1,686054,-1,-1,-1,450620,-1,-1,-1,15869,-1,-1,956738,-1,986530,-1,120349,-1,-1,456123,-1,269709,697355,990790,175375,960265,-1,-1,-1,-1,-1,196878,13612,816761,-1,-1,686614,922963,-1,367080,-1,-1,-1,-1,891302,153064,-1,-1,-1,-1,-1,-1,-1,266023,269094,62768,-1,316975,-1,984347,-1,62462,349114,-1,632019,803525,825236,-1,-1,-1,-1,-1,-1,-1,-1,212370,-1,730215,-1,-1,-1,514600,-1,-1,536467,-1,572460,756393,-1,-1,-1,-1,-1,642169,566055,-1,983587,134927,150870,924076,403091,-1,-1,627969,-1,780298,497756,-1,-1,370941,345333,415742,558646,647260,-1,51283,-1,-1,-1,-1,-1,-1,-1,-1,808971,-1,-1,-1,635673,-1,-1,168790,314896,-1,621517,353469,926310,837583,892450,61864,-1,749642,184209,874620,662026,-1,-1,185704,559080,-1,-1,252934,-1,724714,728152,-1,-1,201589,-1,-1,-1,-1,694788,282434,-1,-1,632760,253400,-1,-1,752872,-1,-1,946527,315160,353128,411716,-1,711449,-1,-1,-1,-1,251662,-1,-1,-1,496545,679639,822975,980820,-1,-1,704539,769580,-1,227827,-1,416146,-1,641676,317811,844261,-1,-1,144780,-1,218656,636425,512761,-1,100392,834700,-1,662487,558891,30457,28922,819835,-1,-1,-1,-1,113379,-1,354199,867570,862795,-1,232572,-1,-1,517130,-1,-1,-1,83298,-1,-1,-1,487308,-1,-1,-1,146250,228293,790457,-1,-1,557028,660273,789478,-1,526863,-1,-1,365207,740667,-1,48473,437122,-1,-1,-1,564048,-1,-1,-1,203712,-1,-1,-1,436049,614325,255053,-1,-1,-1,509279,356508,650007,-1,-1,-1,192689,-1,630840,867753,-1,-1,32998,-1,-1,239090,576841,-1,1086,831789,747351,-1,-1,-1,68584,585116,-1,-1,-1,-1,21272,428464,5366,-1,465453,-1,-1,-1,-1,862363,-1,558311,56450,764583,-1,80889,-1,-1,-1,546011,717314,322519,682112,528604,788496,905471,-1,-1,-1,-1,-1,204050,270673,937262,675195,-1,630323,-1,553321,-1,45620,-1,-1,746560,-1,-1,-1,180256,-1,-1,178885,-1,-1,-1,502472,-1,-1,-1,470915,649937,-1,310301,559009,247459,-1,512984,883103,-1,249715,-1,473209,377166,-1,-1,56904,-1,-1,-1,-1,-1,-1,972043,829310,872603,867718,529266,153165,541227,193398,908880,480511,197287,-1,-1,234444,-1,-1,176331,-1,50991,-1,-1,-1,-1,-1,884778,-1,-1,621955,-1,-1,985917,943727,-1,-1,956011,138616,-1,328639,-1,394499,10706,-1,397273,813626,-1,166016,-1,459300,280399,18694,-1,-1,-1,932556,-1,763848,724384,408649,133309,-1,-1,-1,-1,226371,593597,69138,-1,-1,198633,86531,-1,538428,124863,540420,-1,315766,-1,-1,164102,-1,-1,187139,192647,-1,169707,969802,-1,-1,-1,261295,302076,256202,-1,911129,-1,-1,-1,791453,-1,460326,-1,829753,841190,-1,-1,-1,-1,-1,-1,-1,86567,-1,263342,-1,88354,724701,516165,-1,858807,123873,459592,-1,920402,815137,-1,240225,-1,572508,133310,-1,963430,15985,-1,378849,220549,187653,526279,-1,87810,573335,265457,794418,-1,702900,-1,-1,179946,980174,298584,618031,-1,-1,613397,-1,740896,-1,868867,-1,85328,355777,-1,-1,-1,833697,-1,-1,-1,581481,642432,691087,-1,-1,402379,506452,78904,600906,725160,487426,-1,-1,915989,-1,568427,-1,703290,-1,351889,684270,-1,-1,-1,-1,-1,-1,-1,820255,-1,553905,-1,-1,980263,-1,976847,154607,992431,-1,-1,987725,961819,274538,-1,-1,310975,-1,883862,-1,588096,-1,-1,410337,729066,153870,-1,-1,-1,219252,-1,-1,-1,-1,848579,992674,474474,-1,-1,-1,575650,985065,536644,973169,32986,538309,-1,206072,-1,-1,838543,675032,971540,-1,-1,782409,81276,-1,175805,-1,-1,189323,-1,-1,873911,482207,852917,-1,358510,674353,-1,588750,-1,-1,581217,848099,611554,717808,55894,74323,247625,214455,-1,-1,-1,421497,-1,814459,-1,-1,808131,-1,880519,-1,987777,541200,843329,6599,-1,-1,413140,-1,-1,228088,-1,-1,-1,39616,-1,-1,-1,-1,-1,440408,-1,722996,-1,-1,-1,750697,972625,893280,831183,417545,-1,-1,699720,-1,-1,-1,-1,688323,923354,520529,-1,-1,563306,679296,-1,-1,552750,-1,-1,435390,-1,607305,162472,966249,635884,-1,-1,410901,-1,525686,-1,214150,-1,-1,538709,-1,181265,610059,291342,119464,807236,-1,712785,504753,-1,-1,-1,-1,813613,14722,265964,267808,582012,-1,281630,630970,-1,707243,-1,-1,-1,734664,-1,9696,405533,-1,-1,-1,-1,936854,-1,-1,-1,-1,290648,-1,988741,-1,-1,961871,-1,-1,-1,991059,444594,524959,639593,-1,314631,-1,330776,967093,683935,-1,370275,118845,-1,635735,-1,674939,-1,608740,-1,227277,695184,432888,722352,908021,-1,572390,-1,137777,-1,-1,509511,56894,58404,603183,-1,-1,-1,-1,119695,95802,-1,286040,-1,579878,-1,765565,-1,-1,328492,-1,527936,-1,-1,-1,508183,304568,740210,327302,-1,-1,793256,-1,-1,682413,-1,-1,-1,529471,-1,652878,-1,-1,633663,542872,451205,331791,-1,-1,-1,9968,-1,-1,-1,846622,613460,876663,406340,-1,-1,42185,-1,-1,992701,116446,-1,889381,-1,533664,-1,-1,550108,-1,-1,-1,752278,319431,11887,-1,157012,-1,342004,-1,-1,121873,-1,571657,-1,692064,933753,614425,-1,-1,168427,-1,-1,-1,-1,-1,318358,362730,483824,143539,402526,359107,-1,585950,837073,496873,-1,-1,686437,-1,326983,627267,-1,-1,-1,-1,350554,-1,-1,556111,521998,914378,-1,656443,-1,-1,302259,607829,235180,-1,348085,-1,864866,-1,569689,155333,-1,588082,333695,900782,-1,-1,217146,-1,-1,-1,-1,229648,881237,-1,171033,-1,585295,798212,619821,-1,-1,278620,341692,380398,152708,458167,-1,341982,-1,444348,744471,134868,-1,244789,-1,518433,-1,975593,71310,-1,-1,33293,-1,-1,-1,-1,-1,190595,-1,-1,-1,85516,491926,-1,996814,31012,880759,686165,-1,726068,-1,-1,-1,853354,-1,841983,-1,464461,-1,-1,-1,837876,360800,-1,-1,374014,-1,-1,722521,239252,696257,802945,-1,-1,88506,-1,-1,-1,59290,796009,438957,-1,-1,-1,-1,940977,269617,412115,-1,-1,-1,-1,572660,-1,-1,-1,-1,-1,424180,948681,-1,-1,-1,113073,-1,-1,595903,740475,870588,-1,-1,258535,978692,-1,-1,-1,-1,-1,-1,687700,82814,219016,-1,-1,229268,978111,383149,577100,687658,-1,-1,961174,319391,105418,820660,-1,787316,811392,-1,-1,-1,-1,-1,442470,183832,-1,-1,-1,-1,-1,138919,-1,939554,158337,169126,-1,-1,-1,32943,-1,141555,-1,57497,592527,-1,-1,712579,192381,-1,-1,-1,-1,121688,667805,109036,734770,-1,-1,-1,-1,56588,-1,-1,-1,393860,-1,251234,176899,420758,-1,-1,600302,-1,515547,-1,-1,111692,502786,613497,922384,-1,-1,-1,961155,-1,360281,-1,832439,942609,380881,229942,925706,-1,987081,-1,209525,531663,-1,292201,-1,841616,-1,-1,851017,289870,-1,529347,436354,980154,832759,-1,416507,-1,-1,-1,-1,-1,-1,-1,-1,104847,-1,-1,41124,-1,58251,515455,415911,530632,849914,-1,-1,72888,371554,396923,-1,-1,-1,-1,-1,-1,-1,894908,-1,460944,774063,976370,-1,909293,-1,-1,20612,-1,341372,-1,301219,-1,697490,-1,-1,-1,189804,427752,1508,-1,-1,21313,11679,-1,-1,732012,665052,-1,-1,738948,-1,290984,318749,-1,231761,-1,188323,682016,-1,746981,919048,534411,-1,67353,-1,-1,-1,-1,433884,-1,865731,-1,-1,-1,-1,-1,230683,859645,483563,-1,-1,774099,42578,-1,576576,680778,-1,120344,750141,-1,-1,465241,882940,-1,-1,-1,-1,324134,-1,-1,368528,-1,571485,-1,467242,-1,-1,943195,412595,683600,-1,-1,-1,-1,616505,477559,391494,-1,-1,396286,-1,864050,-1,406464,-1,443825,592447,708564,-1,-1,264627,-1,-1,380426,-1,-1,-1,-1,204611,37791,341293,-1,-1,-1,-1,-1,819254,-1,587662,-1,-1,-1,212402,-1,425493,634946,873535,-1,-1,433028,291346,458870,69134,-1,-1,821995,-1,-1,-1,292712,-1,837678,-1,-1,-1,-1,990243,606866,4119,-1,-1,857821,-1,-1,-1,197954,738375,89357,348889,249769,850528,-1,647208,-1,-1,-1,636,286107,458518,-1,201364,253063,887259,811578,-1,367332,-1,-1,-1,331080,366291,991155,336162,403812,-1,736230,-1,834624,549179,-1,-1,-1,-1,1157,-1,-1,957804,886262,257796,871802,121434,-1,150062,-1,309142,238706,108648,317163,-1,691947,-1,-1,-1,-1,-1,82475,858144,-1,-1,-1,-1,699538,-1,-1,-1,994571,-1,-1,848285,17209,976616,653350,583280,375875,-1,-1,325157,896520,834822,266320,-1,200115,63755,-1,-1,-1,778407,-1,867704,66130,-1,-1,853699,822480,217422,-1,261445,959415,-1,-1,-1,149929,560106,-1,982317,-1,-1,-1,-1,-1,117292,277899,-1,417211,-1,-1,-1,-1,-1,517021,-1,-1,-1,-1,-1,848284,606085,-1,509560,-1,733202,89424,393754,914475,-1,737949,-1,-1,133517,562608,79180,498289,-1,867420,878583,481335,467249,-1,364147,703683,987389,-1,-1,404472,190389,58372,290372,340441,-1,30150,686013,234343,833693,-1,987435,801381,-1,-1,632990,985043,946670,-1,964579,256335,-1,-1,206231,-1,845607,563378,88960,193650,-1,341684,526218,793238,-1,300378,-1,783905,-1,625166,-1,920734,-1,-1,-1,-1,623397,-1,-1,626550,288829,408628,377628,-1,651785,389647,737125,738198,917616,-1,-1,231013,42939,23835,281965,-1,-1,-1,783522,526591,-1,2240,-1,288757,698073,-1,194162,-1,-1,-1,-1,405538,254979,363082,-1,277206,-1,426434,-1,85238,-1,-1,871511,173872,-1,546218,691962,-1,-1,744799,841846,238166,683121,-1,282220,401797,-1,876783,-1,659412,761301,-1,557978,581601,431221,-1,-1,659642,-1,689637,319399,-1,930517,716500,793938,-1,-1,-1,122169,279949,592263,521631,606149,-1,-1,403295,-1,-1,-1,135448,-1,-1,143614,808120,-1,36858,-1,-1,-1,913480,-1,-1,-1,62570,242009,431311,-1,-1,116960,-1,-1,483289,935470,-1,-1,294293,-1,-1,788520,908518,-1,831597,771191,-1,944463,89200,269363,-1,442661,307496,281763,146611,-1,-1,-1,29429,204829,61920,469364,489941,-1,-1,732120,-1,265817,-1,-1,-1,247545,-1,466497,967965,76153,14375,-1,804622,-1,-1,-1,-1,-1,683612,-1,-1,122986,-1,589061,66613,-1,-1,416019,-1,887811,-1,903921,814000,-1,-1,-1,-1,-1,273675,887111,-1,-1,-1,419990,784193,-1,-1,385756,85396,-1,-1,-1,-1,370330,431440,586480,-1,-1,-1,-1,-1,736731,825829,437165,-1,873661,-1,-1,-1,607892,-1,-1,-1,595912,580675,752751,410142,962158,777098,64002,174550,-1,-1,953011,-1,-1,-1,-1,462240,32741,-1,-1,-1,893285,169143,-1,-1,13375,-1,-1,380262,-1,787292,4784,625013,-1,-1,-1,963038,-1,6443,878386,-1,251695,144700,-1,357403,-1,85641,171221,-1,-1,-1,75353,234472,887415,178131,-1,797718,-1,-1,595535,889013,-1,649911,577568,801194,187103,-1,228271,246422,-1,-1,-1,-1,-1,-1,408172,-1,-1,74637,106877,805241,-1,-1,243706,-1,457103,-1,861498,288799,295405,974456,437417,-1,-1,221423,505483,749804,-1,-1,-1,-1,890303,197740,-1,556892,-1,349908,925757,994784,-1,581156,200224,-1,225004,-1,902030,359171,-1,161272,-1,-1,-1,-1,-1,416075,-1,412424,860831,999777,-1,688411,680112,930405,177071,-1,-1,-1,555132,195779,802248,61028,879220,-1,203794,-1,950921,351378,-1,-1,-1,-1,236760,-1,5235,925820,677816,215316,80579,-1,-1,-1,25389,-1,-1,532875,17019,962082,-1,-1,-1,424336,549120,-1,979203,561401,-1,-1,-1,460890,64519,49003,806800,-1,261622,-1,229828,665954,684748,107493,-1,105711,343371,-1,960317,893547,-1,-1,595552,-1,-1,517246,-1,22130,310668,164552,991057,-1,-1,-1,126088,933818,80499,115503,621340,995574,-1,-1,540730,318704,-1,-1,-1,-1,259764,-1,-1,-1,-1,284935,-1,-1,-1,708275,-1,-1,254889,376734,-1,-1,-1,-1,27755,269490,507994,-1,-1,-1,-1,-1,767529,873765,738311,665735,-1,-1,-1,-1,827614,-1,921426,556141,-1,-1,145810,163782,-1,-1,405522,723647,343232,-1,322366,-1,370578,-1,214892,580809,85869,501065,784361,605260,-1,-1,-1,-1,-1,-1,-1,593821,-1,-1,680038,-1,-1,455836,-1,963071,-1,-1,-1,-1,-1,-1,-1,296005,98100,-1,213516,-1,-1,-1,838119,-1,429226,-1,591329,-1,416842,-1,711057,-1,334139,709859,973483,-1,-1,741027,-1,-1,868708,-1,-1,-1,808639,29794,791211,983391,-1,-1,-1,-1,-1,-1,-1,-1,258659,-1,754243,194306,-1,973690,-1,45952,517032,727741,466692,-1,-1,280917,783811,141784,-1,620170,953926,-1,-1,68733,108278,851450,837657,-1,-1,-1,-1,-1,503386,649877,-1,981757,701021,338133,273241,-1,-1,-1,-1,140409,-1,-1,53894,712407,803841,831851,401829,102170,232592,372358,-1,-1,319550,189295,407687,-1,-1,-1,271570,-1,897656,-1,448341,-1,-1,-1,436224,228288,-1,-1,-1,204514,-1,-1,-1,-1,134432,109850,645873,851956,726714,143815,901465,888136,906503,-1,565228,-1,462468,-1,687950,-1,283943,-1,-1,943805,-1,-1,-1,705894,-1,-1,-1,-1,366887,598086,47575,756042,376250,31581,987149,-1,827960,-1,-1,-1,-1,960600,-1,874885,-1,342172,-1,-1,-1,-1,197613,348561,507822,-1,-1,-1,915304,239360,-1,380633,-1,422828,-1,-1,179735,-1,-1,283608,252172,-1,-1,-1,853094,-1,-1,169447,-1,-1,109747,-1,525466,201919,-1,-1,210230,584389,156976,-1,-1,-1,884736,143449,-1,106691,-1,900407,894806,787825,-1,-1,-1,657394,460592,-1,-1,79474,9549,-1,770062,145092,-1,510097,587035,-1,677244,-1,698715,-1,-1,590787,957624,-1,-1,-1,-1,358846,-1,-1,-1,737832,537947,170949,-1,-1,-1,-1,-1,704108,236744,730746,701324,-1,-1,509994,43511,-1,6269,-1,763245,935877,473222,746271,306653,-1,305249,-1,901801,-1,532644,-1,-1,-1,215219,-1,83824,-1,-1,248267,-1,-1,74342,-1,8393,-1,-1,-1,-1,-1,-1,545378,178018,636199,-1,891982,670222,-1,-1,50432,-1,411086,920355,230653,-1,-1,495830,678859,808013,-1,-1,-1,-1,-1,-1,656925,93774,-1,308680,-1,-1,830694,753284,117096,116308,838775,-1,865156,829228,-1,-1,-1,52664,467991,-1,513706,-1,-1,-1,-1,862775,-1,337040,-1,80280,-1,650070,-1,-1,702625,-1,329636,-1,908096,774547,-1,788669,3541,196062,-1,-1,-1,-1,-1,334330,749416,661435,904208,-1,-1,33765,539606,740525,340529,705909,737757,279328,-1,608752,213297,564323,-1,-1,271159,-1,55681,-1,-1,763634,136904,324960,-1,438808,-1,645586,47556,-1,603985,-1,-1,-1,-1,-1,863685,-1,245829,860403,-1,-1,-1,-1,98434,735234,823421,327866,692497,-1,-1,122918,695044,-1,798893,732504,-1,592545,-1,-1,55884,889439,-1,980067,-1,263853,531344,-1,680693,244082,999854,393067,874478,838592,405436,712800,96854,464784,-1,-1,660815,-1,-1,-1,731872,311947,-1,-1,721137,754457,-1,-1,259805,245711,185384,895860,-1,-1,-1,-1,-1,-1,95390,693968,-1,-1,508481,-1,938952,8082,-1,-1,-1,53433,607302,283767,581728,40397,-1,154364,-1,-1,-1,581501,-1,900984,482342,892157,-1,-1,654050,-1,977676,692503,-1,987884,-1,-1,-1,-1,619776,-1,-1,130639,-1,-1,997247,-1,-1,-1,-1,-1,-1,-1,745955,-1,-1,-1,-1,-1,289154,-1,581351,517027,584090,567948,-1,233784,-1,-1,595810,835116,-1,42773,-1,-1,534667,499924,600155,851080,108808,-1,688743,-1,925566,708516,-1,-1,344484,-1,-1,-1,-1,996313,-1,-1,97351,-1,-1,319470,-1,868428,-1,-1,-1,-1,209328,-1,-1,-1,-1,-1,334393,374860,-1,-1,26858,355878,-1,-1,458932,-1,-1,-1,-1,660853,545676,659650,569173,157553,-1,430024,-1,-1,-1,-1,636481,-1,-1,27435,836606,843233,-1,158030,-1,-1,887569,-1,-1,-1,966458,-1,-1,-1,374411,-1,-1,-1,-1,927135,27647,381050,-1,-1,311157,484054,327976,-1,-1,-1,-1,-1,-1,672063,-1,550774,-1,629658,-1,899423,-1,342655,997074,-1,177343,989932,-1,912309,-1,-1,-1,934684,-1,680764,373045,-1,-1,970995,639799,-1,73530,670764,147069,685633,-1,-1,-1,336382,958978,104811,24220,869743,245901,755014,-1,-1,106592,630212,172002,320880,-1,962129,-1,54596,-1,-1,-1,495776,960179,699116,-1,292224,621718,-1,122176,-1,-1,-1,537630,-1,519863,-1,-1,397375,-1,371977,749665,-1,776655,687504,-1,899440,-1,117982,251610,21362,808169,206057,-1,-1,-1,849911,-1,-1,-1,997817,-1,-1,-1,-1,-1,-1,533085,367704,-1,534509,-1,-1,176184,335993,-1,-1,-1,-1,-1,620536,-1,-1,-1,-1,-1,-1,-1,31673,513274,793961,898677,857438,767858,520015,-1,744608,468428,-1,-1,-1,-1,-1,-1,-1,564455,946638,-1,-1,434074,-1,480937,647089,-1,-1,605452,-1,921613,-1,-1,-1,530310,165978,24777,-1,706894,-1,380904,966085,-1,91536,624841,810237,612730,-1,868396,435867,-1,-1,-1,-1,-1,459623,623423,-1,-1,-1,701136,435355,283725,276545,48292,218418,-1,425519,-1,-1,357798,-1,-1,169084,-1,590286,-1,652041,-1,-1,-1,935836,-1,690320,89338,182874,-1,-1,-1,-1,127448,-1,-1,-1,-1,-1,-1,-1,-1,380682,832684,878313,871832,764601,-1,-1,690944,-1,-1,738359,-1,723634,-1,-1,371405,813215,823196,513800,795568,994391,-1,-1,568669,-1,-1,-1,983635,-1,-1,744761,215381,-1,-1,306797,673821,28639,-1,-1,798967,-1,880387,499762,-1,607054,-1,-1,316208,598348,24863,474327,-1,-1,87273,442151,655979,593957,-1,-1,-1,-1,810696,760572,-1,-1,-1,-1,809578,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,151909,738135,783528,986628,544067,938719,445497,-1,325015,165606,210996,79387,591273,538770,-1,629560,819440,-1,-1,-1,396705,-1,578558,790342,-1,-1,900040,-1,39655,263920,673683,802981,-1,814424,-1,261846,-1,-1,769,-1,-1,-1,24392,406853,458693,397969,-1,-1,741895,829427,879842,-1,417529,-1,-1,855780,72531,765394,785248,572833,-1,-1,396220,-1,-1,907656,523312,283869,199047,372656,371059,-1,-1,917468,608340,518231,500046,-1,-1,962813,212900,136156,-1,981366,-1,-1,56827,-1,829584,-1,-1,-1,-1,24313,420491,-1,-1,-1,948561,-1,-1,375574,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,982893,762392,-1,-1,-1,-1,-1,261176,379502,-1,-1,603874,322186,402935,-1,-1,15024,-1,-1,-1,-1,-1,120581,-1,443967,-1,-1,194812,646196,366151,188386,236263,-1,67042,-1,724210,-1,-1,576767,797050,-1,626178,-1,954494,-1,58214,230848,-1,133390,59398,868508,49759,-1,453093,330026,256070,11333,-1,-1,625229,716031,-1,956110,464482,685984,20504,540884,-1,-1,-1,551241,-1,-1,538439,986085,788326,143778,-1,-1,739852,332687,464315,-1,-1,264740,818207,541733,-1,-1,86986,-1,-1,619952,-1,25620,-1,439533,-1,710514,-1,-1,656517,-1,115901,-1,878797,235229,393795,-1,-1,-1,-1,612111,-1,-1,628010,-1,767013,-1,282322,929746,-1,848160,-1,43880,107217,-1,-1,716262,715320,655373,-1,93571,898159,-1,-1,-1,-1,-1,-1,419280,-1,-1,-1,-1,336253,-1,838860,374443,632932,-1,-1,-1,582334,628588,674312,410999,530323,-1,-1,413798,98523,-1,646135,614495,-1,-1,-1,-1,484121,-1,-1,-1,721627,-1,188401,-1,73321,-1,-1,495879,-1,-1,188905,-1,662891,-1,-1,-1,105445,903901,711906,713746,403493,652623,-1,-1,301057,171981,824843,-1,784563,214340,-1,37388,416468,522280,255991,260215,169353,663071,-1,-1,-1,-1,114996,-1,91147,826354,-1,-1,-1,-1,455668,-1,-1,-1,121190,-1,-1,-1,-1,-1,856328,487289,-1,-1,-1,-1,-1,-1,827654,507540,-1,179281,-1,448165,-1,-1,654244,99343,-1,33590,-1,487690,153829,-1,600872,-1,-1,-1,444671,997395,872700,247034,-1,225135,606137,-1,-1,-1,538090,614604,-1,-1,597054,-1,-1,109869,4387,829416,-1,-1,-1,69073,-1,240603,-1,154338,456564,405638,562781,-1,834171,-1,-1,-1,-1,276319,-1,-1,431193,-1,-1,367996,-1,-1,371630,-1,-1,-1,327505,944498,740571,-1,-1,-1,-1,313982,336958,-1,694629,58114,251677,-1,895374,-1,-1,-1,457455,-1,-1,256609,-1,-1,-1,-1,-1,-1,332810,396442,-1,-1,-1,-1,402460,901625,991678,740752,-1,-1,161842,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,645974,-1,978130,-1,608143,975433,375986,126657,218047,490783,-1,-1,291528,-1,353150,567388,335431,59826,924104,-1,111041,68019,-1,657621,253507,-1,-1,-1,979841,738202,61853,-1,-1,543556,604945,-1,354511,-1,714458,-1,-1,733713,39782,285918,-1,-1,657152,-1,105170,125097,-1,-1,931075,943941,-1,999316,-1,680455,828099,422473,625747,-1,-1,-1,579200,-1,235904,436663,403522,757859,-1,34001,-1,292325,-1,-1,750400,-1,-1,-1,-1,371939,184184,715450,505736,262166,492199,-1,695970,-1,687709,-1,-1,-1,-1,-1,292822,-1,568892,907623,-1,-1,756442,-1,-1,-1,-1,-1,-1,-1,5014,515204,954998,478017,982650,776766,-1,86965,-1,-1,-1,-1,-1,-1,336705,-1,-1,397751,705120,650507,-1,-1,781874,-1,-1,-1,132895,-1,205856,-1,-1,-1,-1,341570,160993,-1,-1,-1,-1,-1,-1,-1,-1,651946,260198,-1,-1,-1,604517,-1,-1,-1,-1,-1,751717,804248,561445,-1,-1,-1,-1,-1,401911,922558,-1,-1,-1,-1,104976,276327,860307,683260,409579,-1,-1,263546,-1,752458,459785,97747,-1,442642,-1,989512,-1,-1,840473,391721,-1,-1,478980,-1,-1,595777,-1,263651,-1,-1,-1,-1,188640,-1,805093,540197,-1,300459,446104,-1,-1,123434,931352,-1,-1,575341,-1,-1,432554,-1,117002,913852,583522,-1,-1,988181,590571,773076,-1,-1,-1,836460,-1,72456,630745,652056,-1,-1,-1,863278,-1,278606,835578,-1,-1,926549,-1,56722,-1,-1,120031,-1,-1,-1,-1,-1,363126,-1,-1,723814,523996,845209,-1,-1,-1,-1,13214,788379,-1,-1,-1,-1,355259,96709,-1,71710,545393,278641,-1,914819,-1,25604,-1,-1,-1,-1,281360,-1,-1,-1,-1,-1,147911,-1,612612,-1,-1,13212,203237,703208,859919,-1,700865,-1,748350,-1,288983,771169,443833,857694,154657,-1,748730,-1,948840,-1,-1,-1,-1,918757,726741,-1,202233,-1,598273,419919,342985,552152,696156,-1,-1,-1,-1,-1,457505,-1,-1,695954,-1,-1,-1,56955,-1,798069,736964,127857,424578,-1,-1,-1,-1,157411,-1,-1,704121,-1,-1,-1,-1,608207,964842,-1,-1,160663,140798,-1,-1,830581,-1,496316,-1,261749,29562,-1,476093,-1,-1,-1,-1,885226,-1,218762,338862,-1,-1,340906,476399,290887,430807,190599,459983,-1,239661,65732,-1,-1,-1,-1,902319,362837,-1,906895,-1,479644,185092,370539,-1,-1,442836,-1,-1,363673,157291,-1,-1,30974,237916,323273,-1,539372,152550,-1,63496,429437,-1,-1,316976,-1,370876,364813,260474,972203,277913,178828,-1,-1,943209,171463,-1,899475,-1,47357,-1,-1,838942,-1,-1,126799,-1,321075,-1,835129,-1,501372,-1,-1,-1,698424,688002,629316,187249,-1,996297,-1,303389,23109,-1,878205,462115,112062,625740,522838,-1,-1,-1,-1,-1,-1,-1,-1,399721,458204,405331,-1,89666,633036,-1,267753,-1,833539,244472,-1,-1,902802,-1,514208,-1,865104,-1,36227,693825,-1,765863,-1,331870,-1,984615,283599,-1,930264,107865,506304,692756,952446,-1,910618,-1,-1,235284,-1,-1,-1,-1,-1,758063,692540,399178,765374,-1,697833,-1,130329,-1,-1,-1,250525,170803,-1,-1,-1,660829,-1,-1,-1,-1,-1,999419,361208,208807,568447,-1,79439,579206,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,616624,-1,-1,434285,661695,-1,-1,-1,282985,-1,-1,-1,-1,600035,672327,-1,-1,-1,-1,-1,-1,745814,-1,-1,504857,387064,-1,588209,-1,206373,-1,44376,-1,341581,-1,348134,57856,864844,-1,501582,-1,-1,-1,694884,321077,158046,-1,-1,642058,-1,325535,-1,996876,927609,330428,-1,521232,-1,40348,191043,-1,-1,810594,-1,-1,-1,-1,912722,-1,-1,998708,-1,-1,270470,388031,-1,-1,51691,661871,-1,-1,-1,-1,-1,790776,733515,752671,-1,-1,-1,-1,-1,962467,-1,621260,-1,-1,-1,275293,335215,-1,-1,-1,-1,797558,-1,-1,846230,371455,354578,-1,-1,-1,-1,279828,136310,-1,-1,-1,-1,-1,965027,-1,-1,-1,-1,-1,-1,-1,-1,171483,-1,-1,-1,223866,-1,802532,-1,844647,589169,-1,-1,724618,118090,462509,-1,714352,742273,192909,-1,-1,545573,-1,691675,-1,-1,658934,257772,343932,474886,-1,199297,-1,923262,-1,53140,895915,-1,-1,301512,223929,146448,546081,294770,-1,462726,248475,922393,-1,-1,381142,996126,783866,667763,622332,150519,203047,634408,807686,549419,-1,202954,695135,-1,-1,358887,187582,256862,-1,-1,-1,837701,-1,401501,-1,924203,-1,-1,-1,-1,168588,945016,-1,-1,-1,463787,195732,711965,-1,-1,639781,781492,-1,113765,286689,-1,465700,185128,79648,-1,-1,141016,969808,237329,-1,-1,-1,804759,-1,-1,-1,-1,829523,893645,131320,-1,367889,777420,-1,-1,-1,-1,-1,696831,293286,962565,-1,-1,514327,108525,664967,-1,295102,732872,809207,-1,761575,-1,-1,984867,-1,-1,205201,738486,-1,504115,556397,204833,-1,449046,312788,-1,182004,939754,385883,532668,443777,753822,-1,688027,-1,-1,578594,187755,740800,372744,589383,845710,-1,-1,-1,536074,-1,-1,-1,-1,413870,-1,-1,-1,709481,337249,-1,-1,272426,-1,-1,910895,-1,15341,917565,703484,257439,387865,511800,-1,158789,687123,-1,-1,654646,-1,302968,762660,127823,183782,7050,-1,-1,485650,114703,999950,-1,349117,-1,-1,974760,179963,716713,-1,277672,-1,323368,591762,673971,-1,-1,-1,998984,380855,-1,-1,-1,423064,986835,424345,-1,533041,-1,-1,189930,-1,712397,-1,-1,-1,-1,-1,79324,-1,-1,-1,-1,-1,352510,255211,-1,921527,84603,834692,561586,-1,425702,-1,561009,20629,508351,188613,-1,-1,433359,725886,-1,835355,818821,-1,-1,-1,21003,-1,-1,542758,-1,-1,824140,-1,-1,373725,-1,834849,954660,-1,947087,-1,539231,53957,-1,897367,-1,-1,-1,968662,-1,-1,-1,-1,-1,-1,-1,824522,709993,-1,857727,940879,-1,-1,-1,863846,-1,689721,-1,81450,-1,292301,-1,295045,806957,-1,976247,176120,498376,-1,632135,765595,853899,-1,477207,-1,341904,606593,-1,-1,-1,613514,189965,624102,220911,-1,338039,345788,-1,-1,904790,370694,166145,259654,-1,342044,-1,-1,773109,-1,-1,356484,193663,952285,-1,-1,157412,-1,160977,-1,-1,291867,618816,156367,-1,939946,-1,-1,-1,848964,-1,315712,809837,244667,-1,-1,-1,-1,978919,217145,-1,-1,-1,416807,-1,727849,-1,-1,-1,-1,823127,-1,-1,-1,72365,-1,616438,674133,-1,228948,-1,-1,-1,188109,-1,-1,-1,-1,819917,205825,38041,444413,-1,667549,-1,-1,993567,-1,730796,-1,398524,-1,-1,951934,-1,373339,957382,-1,-1,-1,534304,-1,-1,946392,-1,511623,250895,-1,-1,-1,791863,924486,780051,421284,131861,-1,737436,-1,-1,-1,632666,71681,-1,-1,-1,490188,-1,-1,963707,-1,-1,923631,-1,484631,-1,831810,-1,410988,929732,-1,-1,819535,-1,457147,-1,-1,-1,460484,-1,462023,-1,-1,-1,100820,-1,-1,437346,-1,-1,-1,-1,-1,934531,-1,-1,499329,-1,-1,-1,329643,948231,602485,456514,-1,-1,724843,510286,640263,-1,853685,958613,-1,-1,-1,998126,951840,-1,368590,-1,-1,-1,17304,643064,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,729355,90163,-1,61372,-1,480542,126042,284003,-1,-1,751830,-1,-1,460520,-1,-1,-1,-1,854233,-1,-1,-1,504367,-1,817284,-1,-1,704991,652744,784209,-1,-1,232209,-1,-1,-1,-1,994790,600804,-1,811494,-1,809607,-1,-1,547779,-1,-1,336324,977587,-1,-1,330741,546567,-1,-1,449903,-1,-1,520964,-1,809970,889619,705430,469596,706374,958073,-1,-1,-1,-1,-1,671838,-1,-1,-1,-1,996068,-1,128645,370610,-1,372283,453877,-1,-1,593562,376137,576000,-1,-1,356168,-1,-1,857347,-1,-1,673724,897539,622190,-1,516943,-1,-1,-1,133047,758726,-1,-1,410105,-1,284956,227488,795932,102292,-1,390323,-1,227205,719086,441647,-1,-1,-1,842749,521667,-1,-1,-1,381391,907762,799030,-1,123490,-1,-1,424215,-1,345745,24035,143891,-1,-1,-1,565084,-1,452774,982194,992614,-1,407937,-1,494970,-1,-1,21481,825180,535616,-1,-1,26210,-1,-1,-1,-1,665154,-1,-1,-1,-1,-1,36512,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,987437,887099,-1,353163,-1,-1,-1,251198,940859,66011,-1,568017,345823,46228,656844,301338,-1,720913,-1,-1,-1,-1,550139,833879,608186,-1,-1,571919,279058,28512,-1,706735,-1,289650,133095,-1,-1,694737,358861,104591,-1,264833,730547,965714,-1,970625,-1,116702,-1,178185,172148,-1,-1,88644,852764,-1,602844,-1,-1,-1,994808,304696,-1,632807,848650,981290,-1,-1,-1,-1,-1,832573,-1,-1,884156,-1,-1,14166,102870,-1,-1,971838,37215,-1,-1,-1,369828,-1,-1,-1,694999,-1,-1,-1,932383,240480,244181,-1,-1,-1,998045,964299,-1,176458,560852,-1,986105,-1,-1,-1,-1,852270,169491,245695,163773,-1,387754,-1,210514,-1,-1,436448,882076,-1,871952,-1,108683,-1,71674,-1,72831,448674,-1,913245,781115,907721,-1,668463,359205,-1,447339,-1,-1,549087,474047,609188,180365,153084,-1,-1,-1,250120,-1,896260,-1,-1,302661,-1,-1,-1,164391,730013,917276,-1,835535,-1,483437,506651,-1,55242,85003,-1,183765,19754,885427,305617,-1,990981,73430,-1,965180,-1,-1,22016,-1,991262,461382,-1,662841,-1,703021,178754,-1,752579,704574,282296,-1,942148,66336,34304,-1,-1,-1,157650,-1,-1,138953,44316,-1,-1,58056,-1,355073,-1,-1,218262,-1,933268,199021,704861,516041,551237,-1,-1,608571,417991,-1,179422,289611,-1,-1,-1,-1,693819,-1,101839,959834,-1,-1,-1,-1,-1,464303,-1,918591,-1,939616,102759,86789,-1,-1,424145,805536,-1,279704,-1,-1,299500,323564,115489,-1,-1,-1,-1,-1,-1,-1,581682,369407,-1,793976,-1,843793,745949,-1,-1,778036,-1,-1,-1,964075,858115,889494,-1,-1,188598,-1,268685,-1,185840,-1,890338,552019,676471,-1,-1,869113,72052,-1,-1,527198,-1,-1,819908,-1,462602,182223,-1,-1,-1,789526,536482,-1,-1,846387,934115,-1,-1,501084,177888,-1,424607,23946,-1,-1,55517,994552,-1,944532,290881,-1,-1,577334,535756,-1,-1,-1,517327,621158,563917,-1,524333,823556,-1,-1,13576,-1,-1,-1,-1,694489,-1,850427,431492,143418,222675,628355,791009,-1,605693,-1,-1,692304,539618,62385,-1,-1,739737,658377,202892,263340,-1,313456,-1,-1,345725,-1,-1,448220,-1,327779,-1,-1,-1,833097,815319,-1,-1,-1,441531,-1,-1,708185,623390,847194,-1,262986,-1,309060,-1,815273,942775,997229,382085,349071,-1,61085,697994,431063,-1,-1,-1,495441,535250,161311,283273,-1,294180,748075,50632,-1,959016,-1,-1,513594,-1,637065,610189,161926,774211,554583,-1,-1,-1,690070,-1,-1,327768,260898,841994,-1,710031,625543,426108,-1,-1,-1,810130,-1,-1,-1,350922,-1,-1,-1,-1,688376,310381,-1,-1,497962,-1,63749,-1,501436,727706,708937,-1,845221,49995,-1,800924,-1,-1,746211,551099,-1,955691,103310,489127,-1,-1,233079,-1,989489,-1,-1,-1,914748,189711,814741,387041,190301,-1,-1,557388,-1,-1,-1,-1,874087,-1,661185,-1,-1,-1,757890,132450,-1,-1,-1,-1,-1,-1,-1,-1,638499,256734,615933,206226,551170,526232,-1,204211,772602,-1,372261,-1,891633,796464,-1,201939,-1,-1,-1,351267,884803,-1,968540,55656,-1,-1,839070,-1,528013,-1,-1,984316,44867,978188,552021,578965,261695,106084,636047,-1,-1,354145,-1,-1,-1,-1,772100,582293,-1,-1,134537,896193,848232,719905,-1,338036,54097,488832,-1,291731,297496,237539,974672,-1,-1,693110,890129,448208,44279,91060,233733,76070,601274,-1,-1,-1,54267,126643,-1,408918,-1,-1,783566,-1,-1,-1,204578,-1,103808,933095,-1,-1,-1,560816,-1,232415,-1,805675,746017,-1,719645,-1,-1,175163,-1,685635,691648,-1,484976,426799,719259,522858,-1,768937,638252,-1,-1,-1,-1,-1,-1,11211,197256,-1,-1,-1,-1,-1,-1,132092,582011,-1,-1,950536,838820,889237,-1,-1,974585,-1,-1,505693,-1,-1,-1,745812,926743,708287,-1,-1,204381,-1,-1,-1,-1,-1,-1,316714,-1,418923,-1,-1,230811,27273,-1,-1,-1,-1,986809,-1,-1,50750,-1,-1,742365,-1,624712,-1,175947,841481,999494,7101,464867,-1,-1,-1,421252,521098,-1,-1,217520,465474,-1,-1,211374,-1,-1,-1,-1,6966,-1,740710,-1,-1,904239,534882,234327,-1,721596,-1,-1,-1,-1,617039,-1,-1,760437,-1,-1,-1,957160,471532,-1,-1,-1,-1,569104,418595,408776,412278,-1,139787,-1,207694,903082,-1,-1,413634,194036,-1,-1,344157,822226,-1,368947,-1,185249,127890,871692,-1,454596,526167,923203,539815,303237,613493,668398,510867,-1,573905,121817,874472,251407,-1,219964,-1,797335,524535,764827,577300,610507,675398,22408,283148,881863,738598,287448,177745,-1,-1,246380,571377,-1,447098,-1,-1,-1,387558,210156,954872,-1,-1,597715,-1,-1,639845,424656,640789,-1,59072,-1,-1,564269,813721,-1,924087,190076,-1,4077,-1,-1,225403,265860,-1,943441,442862,559833,-1,615550,-1,155551,819220,845037,668972,432289,911392,573578,-1,-1,54191,-1,372387,514731,-1,403125,-1,571455,-1,64439,-1,418964,252516,-1,-1,-1,-1,-1,-1,-1,-1,991256,-1,707551,-1,-1,-1,-1,673501,28306,-1,-1,682839,71994,456344,518440,389381,506513,-1,932055,411193,247072,199659,142658,-1,-1,611285,-1,-1,889552,707301,758612,832619,551004,246225,921371,-1,739582,-1,188369,443184,561477,533868,136733,12119,-1,613866,-1,-1,-1,-1,-1,230142,521636,-1,-1,34336,-1,633523,659165,639400,-1,598502,200972,590954,131329,823131,-1,-1,357583,-1,-1,86800,-1,-1,-1,605961,-1,-1,781792,-1,681396,323502,209065,396624,-1,-1,-1,-1,53247,308011,791823,-1,360190,-1,793403,-1,-1,363522,287515,774555,193916,167074,98901,-1,214936,256568,93108,151457,124159,275009,333788,-1,-1,-1,136500,-1,569369,-1,10653,-1,-1,196,-1,991887,795065,893063,417589,253747,-1,-1,446215,426949,90293,557769,-1,446180,-1,247903,-1,-1,-1,342831,4858,904244,23639,886681,-1,-1,866661,-1,405472,-1,585049,307673,827421,551161,-1,-1,-1,358992,-1,-1,-1,595660,806809,284259,217384,819043,504640,325136,-1,785526,776273,-1,855060,-1,-1,-1,282631,-1,-1,155296,-1,-1,215262,-1,-1,219315,659928,182884,411199,921845,531645,323958,918334,891873,717429,-1,597928,578142,353982,-1,-1,305225,-1,274537,162525,-1,9525,835174,-1,317798,82341,298989,691760,504983,-1,335404,-1,653594,834263,503609,685936,-1,-1,943683,647590,253701,701644,613488,-1,656241,218054,-1,-1,-1,407446,-1,-1,550663,-1,887988,205186,-1,455338,-1,-1,-1,354579,-1,278265,835972,721631,500169,425948,278590,-1,551790,-1,-1,319843,544788,36403,-1,-1,-1,747200,-1,-1,711257,255554,-1,-1,459092,713815,-1,-1,848035,-1,-1,736984,659525,719885,848406,-1,607000,293960,513506,100427,888951,401121,-1,21047,733780,-1,-1,140202,-1,862057,448763,-1,250003,151651,-1,750088,671955,794720,660630,745206,-1,-1,-1,646391,534647,978583,-1,144306,690295,-1,69884,-1,13176,308060,74135,-1,631141,-1,328201,-1,262329,-1,-1,-1,624488,483712,-1,358657,562483,-1,342766,-1,539926,-1,353988,-1,899805,-1,525218,402669,399186,416998,-1,-1,-1,247756,-1,250677,-1,143725,-1,-1,-1,-1,-1,-1,-1,420856,-1,470173,857484,329212,380753,-1,676797,-1,781509,-1,-1,282351,-1,-1,593682,-1,531863,277157,161873,-1,-1,798275,-1,-1,-1,434588,873589,-1,524974,294402,308330,-1,-1,306585,-1,346840,444425,-1,471533,77515,26173,367296,-1,230454,204726,15233,-1,272088,244557,243197,139989,-1,-1,929716,751921,-1,-1,-1,-1,-1,293622,832098,-1,600420,-1,581122,-1,-1,617962,-1,773470,-1,-1,-1,-1,-1,73597,232337,-1,-1,872580,-1,859260,6980,120528,-1,-1,-1,461378,236518,-1,630548,659918,383325,976390,265600,-1,-1,-1,-1,-1,-1,542452,-1,-1,830576,-1,-1,-1,-1,594792,565195,765801,-1,760789,142761,-1,-1,-1,393943,489722,158273,-1,-1,535450,-1,-1,511466,-1,-1,-1,-1,-1,347251,752283,-1,-1,-1,-1,357832,976398,-1,-1,961805,-1,781795,-1,-1,-1,-1,-1,808965,685256,142425,-1,766723,692163,-1,629032,-1,520017,-1,-1,-1,-1,-1,-1,145009,-1,76839,572107,898869,487965,627824,90763,-1,-1,149907,-1,2782,-1,653657,-1,-1,160677,-1,527368,918979,-1,241124,-1,-1,-1,-1,747950,916796,-1,551955,-1,80113,-1,-1,-1,848843,-1,302461,26398,705950,-1,-1,904906,-1,-1,-1,135605,-1,717363,-1,-1,97658,-1,299987,795116,-1,-1,532299,32288,-1,-1,134916,-1,402519,21051,369279,180012,556676,33646,-1,792586,705671,285122,-1,919962,764676,398337,-1,-1,-1,700581,-1,573810,340390,-1,-1,-1,-1,-1,686737,-1,-1,-1,938097,495917,569515,157610,725865,401681,72449,-1,-1,-1,-1,-1,386725,771821,-1,879980,-1,-1,510161,9690,-1,734169,752730,-1,-1,662426,-1,408937,-1,408662,-1,169437,62118,630476,991484,46654,-1,-1,848943,959918,-1,594465,-1,569520,884457,609138,-1,-1,-1,-1,-1,698613,-1,-1,436362,8899,378832,893115,345405,-1,748900,142457,812540,188536,773733,732043,984006,-1,751597,972315,-1,788548,-1,53513,-1,494493,-1,-1,145710,-1,-1,-1,257122,-1,56343,542690,900580,-1,304543,-1,994385,614471,196854,-1,457418,813465,485962,992422,-1,-1,16373,-1,-1,-1,865732,539528,-1,562336,657215,403749,-1,736267,25568,193046,485038,332355,-1,440956,749406,183602,627462,325204,714493,29197,-1,720143,568144,-1,-1,551685,-1,604470,-1,150303,592188,825556,-1,-1,-1,-1,-1,-1,-1,-1,635497,-1,-1,257431,498206,502658,-1,305453,835998,-1,-1,336791,-1,-1,-1,-1,-1,484573,738502,961088,-1,-1,254954,-1,626705,367620,-1,-1,305695,-1,459741,-1,-1,178532,311948,-1,-1,784354,54585,344968,315609,-1,-1,-1,668789,-1,-1,-1,311553,530935,-1,-1,190947,-1,-1,278319,-1,550503,886008,901281,688954,-1,134151,331445,685582,-1,-1,-1,865176,-1,-1,-1,851606,140132,74177,720699,947957,-1,40165,525154,-1,271425,49376,-1,712484,670867,97047,-1,-1,-1,755226,817137,23647,-1,-1,641073,95918,-1,-1,31553,-1,706638,-1,71036,203542,-1,-1,-1,-1,-1,464200,970339,-1,137842,-1,831894,319967,-1,-1,502832,312885,118473,-1,487132,610408,-1,82995,-1,559792,-1,675437,745231,-1,-1,-1,133740,-1,137855,-1,-1,929360,528612,167455,18721,-1,679894,654922,-1,340587,-1,515714,-1,885626,-1,723990,93828,-1,-1,-1,785090,-1,499823,-1,867343,-1,196010,-1,-1,63654,-1,-1,-1,217394,-1,-1,14978,-1,584860,-1,575969,-1,-1,-1,203985,-1,911191,-1,-1,846716,-1,-1,773257,646090,-1,-1,241454,-1,278843,-1,23767,843169,303859,-1,108422,452875,-1,183647,968368,711053,166803,-1,371263,606553,-1,127770,-1,-1,-1,955573,657936,645057,266839,11059,906526,199882,-1,956042,-1,226851,86354,595443,-1,-1,-1,-1,-1,644834,-1,239646,-1,-1,-1,896123,-1,255988,598205,-1,767930,-1,677559,-1,649904,-1,-1,-1,830834,570958,-1,-1,579115,391635,-1,-1,-1,781418,-1,459124,-1,-1,744706,222463,677782,-1,716503,-1,-1,-1,-1,-1,272846,-1,-1,815959,85460,-1,-1,835865,-1,-1,-1,407884,-1,-1,-1,-1,76376,408303,-1,862815,207754,114513,386360,454712,150400,-1,123874,101210,847813,-1,447011,269511,-1,-1,-1,-1,-1,556646,806585,-1,-1,33180,91011,969274,399038,-1,254234,-1,-1,-1,-1,575098,502434,196190,-1,885301,-1,-1,-1,-1,909327,136032,113513,-1,-1,-1,-1,-1,-1,79662,-1,409543,516784,17987,423329,-1,-1,-1,299266,385087,300922,730275,-1,-1,38202,941742,669420,-1,-1,452640,888035,-1,-1,882406,-1,-1,842051,-1,802778,-1,269960,531067,219524,-1,851070,672055,878413,837597,-1,-1,452225,806565,211179,540152,975960,-1,557484,272138,24170,958250,-1,986772,-1,-1,106209,-1,851848,-1,-1,419175,239541,-1,-1,781446,836611,758080,444555,998439,764042,-1,-1,448430,550365,-1,824375,41588,-1,196127,614796,-1,-1,-1,114689,-1,-1,93442,586571,-1,-1,937636,808850,68898,-1,641898,877749,-1,-1,803521,-1,-1,523988,-1,860227,277450,-1,794129,924949,-1,62167,449910,-1,-1,144166,-1,-1,-1,889466,-1,149118,-1,664194,388709,660812,429988,-1,-1,-1,105133,-1,571866,303648,623829,-1,-1,-1,782904,285931,946720,-1,-1,210864,-1,652067,130192,740220,667775,-1,-1,-1,424352,504181,365122,569259,731481,-1,471059,108780,-1,-1,-1,153403,-1,-1,605006,-1,-1,954051,-1,-1,-1,-1,-1,823526,254346,-1,-1,-1,-1,708346,862581,-1,-1,-1,485853,724488,45626,-1,-1,-1,-1,-1,-1,-1,-1,113294,119174,86133,273129,694971,47829,258675,389253,-1,-1,134325,500364,132453,767141,-1,157132,-1,-1,550181,-1,474634,181159,-1,-1,-1,-1,881426,-1,982197,977219,-1,-1,-1,-1,372749,-1,-1,722944,-1,303720,-1,904899,55766,-1,526416,291096,27251,172905,695901,278393,-1,367666,195144,-1,-1,-1,611572,729268,-1,649607,755569,-1,433034,20634,627270,-1,-1,640340,-1,257843,-1,-1,-1,-1,-1,968287,495730,44822,-1,748499,914517,-1,-1,-1,515417,-1,-1,-1,-1,-1,-1,-1,160687,-1,752566,279225,229102,970275,-1,-1,-1,815761,-1,142362,667784,-1,-1,-1,-1,55646,-1,157599,747141,-1,855484,-1,893831,-1,732235,-1,-1,670128,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,160149,81605,662141,-1,447619,-1,239199,808104,99168,389565,622385,883172,-1,299098,-1,-1,483928,785638,-1,-1,-1,-1,908381,-1,369470,-1,873034,730038,-1,-1,395946,757833,837542,-1,280514,-1,231839,-1,-1,-1,-1,448517,-1,-1,-1,135805,709527,133171,323535,-1,-1,-1,343882,-1,342011,-1,260312,61273,-1,168261,221157,-1,-1,-1,-1,-1,-1,-1,-1,-1,778416,-1,915204,809127,747401,-1,856471,129904,391079,-1,195696,447639,295666,807411,-1,-1,-1,350869,-1,454090,-1,-1,955222,-1,422904,201428,606537,687851,-1,-1,569311,636963,429098,-1,766753,-1,551640,-1,-1,736113,67103,-1,-1,-1,-1,836595,708715,950012,324332,-1,541063,-1,-1,-1,-1,567408,571001,977051,-1,929021,82634,-1,588550,-1,-1,-1,-1,-1,443500,-1,65844,-1,-1,-1,197828,247244,601889,-1,-1,820483,-1,-1,723466,-1,140317,-1,-1,-1,-1,576493,-1,-1,687433,-1,860895,51368,164122,710635,-1,8027,-1,-1,832127,-1,-1,-1,584508,-1,-1,774945,-1,438854,250074,433694,853078,-1,-1,602074,412394,498587,903432,-1,521080,820859,436726,42779,-1,570957,-1,-1,-1,768862,92196,276856,335428,468480,288011,236794,310781,676828,-1,-1,23027,-1,-1,521133,365204,419598,-1,428195,-1,-1,65744,951304,347068,-1,-1,402808,-1,-1,92588,179565,-1,-1,-1,-1,-1,24888,823791,-1,-1,-1,506562,858876,147011,-1,661183,79328,-1,-1,601897,-1,78488,371536,174668,-1,-1,-1,-1,-1,-1,-1,293038,510701,731634,316195,288594,-1,66127,45514,-1,-1,852276,763770,-1,-1,-1,864711,-1,431632,553814,-1,689381,-1,216495,815485,719119,803709,-1,382447,-1,-1,-1,10976,-1,760101,-1,532146,340080,-1,-1,789525,734966,452931,979043,-1,-1,670640,-1,-1,383796,119412,-1,733716,-1,-1,-1,143284,-1,-1,135428,497176,897602,-1,222197,766048,-1,933895,804261,-1,628625,-1,-1,-1,480836,-1,-1,-1,243366,-1,937852,-1,845906,-1,272421,333416,-1,804019,983074,644926,565232,-1,-1,-1,-1,-1,7260,-1,652625,978032,-1,586242,357613,-1,-1,958473,-1,114060,183697,832224,668237,514196,-1,-1,-1,-1,-1,-1,129859,-1,485167,-1,2699,-1,-1,216515,-1,-1,257310,30840,-1,466996,405856,659451,647245,-1,96998,-1,-1,307975,979855,-1,922949,-1,993783,-1,824295,-1,492874,-1,-1,-1,-1,698955,-1,855901,-1,409950,670687,-1,-1,-1,646764,-1,638572,-1,-1,-1,41672,-1,108299,614614,-1,85100,784038,419850,2289,422061,-1,-1,122960,-1,524446,-1,-1,-1,988394,72475,-1,401405,-1,-1,884488,-1,744529,-1,420704,-1,367344,-1,926137,390609,307946,-1,-1,204364,536414,-1,-1,-1,258746,-1,570641,497695,369453,-1,-1,-1,-1,-1,410486,-1,235710,826149,970478,514070,150794,-1,-1,458340,-1,-1,688793,-1,-1,146699,603960,-1,802529,642385,-1,207887,450368,-1,811225,-1,-1,-1,-1,-1,739493,472378,-1,28338,-1,-1,255194,-1,246919,-1,-1,-1,616994,-1,616017,858564,225218,-1,779467,736288,450976,-1,-1,283537,748249,-1,901398,935690,-1,-1,682344,-1,611716,-1,-1,164882,-1,302003,-1,-1,-1,-1,-1,327413,-1,787414,-1,-1,-1,734643,453119,-1,804403,-1,-1,-1,608958,-1,-1,642919,488936,-1,592546,-1,182573,660424,-1,505767,525199,547978,635002,-1,457924,242275,524609,-1,342757,-1,-1,855232,680177,-1,-1,-1,468405,-1,835981,-1,-1,513176,-1,993640,932400,341530,-1,-1,564,-1,588076,321318,217990,122162,-1,880799,966231,-1,105785,59318,-1,245854,160994,83870,431142,33931,190283,-1,-1,442908,140569,806944,299379,-1,-1,-1,956637,-1,-1,237874,985826,-1,-1,-1,542864,-1,570162,368555,-1,-1,630180,675432,-1,17954,645184,-1,701571,-1,675515,198095,877631,-1,-1,-1,-1,285683,110938,-1,963237,-1,449918,327697,-1,198429,-1,183031,583962,-1,173986,-1,-1,-1,310903,571896,84785,-1,-1,-1,-1,-1,-1,-1,-1,115567,-1,-1,825993,227640,-1,469562,-1,-1,321794,-1,549457,-1,-1,387884,-1,170512,633273,-1,-1,-1,-1,414750,194906,428132,-1,12747,754467,419077,-1,-1,854614,-1,820218,-1,-1,111564,98583,771840,510907,705938,-1,-1,575167,-1,-1,468598,-1,-1,-1,271234,-1,-1,701565,-1,46758,-1,-1,66196,919780,972452,-1,-1,389536,44692,798928,-1,287402,985472,-1,-1,507218,949069,789681,271352,-1,880364,482276,279251,-1,884537,501872,579066,925777,568400,779463,-1,-1,-1,-1,-1,169472,468173,-1,-1,-1,599053,-1,-1,-1,293057,-1,-1,14755,65418,-1,458480,681184,-1,-1,651187,-1,-1,-1,419449,97132,-1,365410,856526,-1,-1,-1,451019,-1,-1,-1,19379,882274,38395,-1,-1,-1,106759,549863,363033,190617,120042,617188,721852,378110,874543,-1,304637,714945,817178,-1,-1,-1,300083,405815,682284,307362,723547,677478,-1,-1,-1,322364,-1,760626,-1,572974,-1,-1,298951,863670,99737,-1,-1,-1,-1,584675,390045,-1,524726,955686,989820,-1,248929,389980,-1,920985,982015,-1,275041,-1,404453,-1,969150,-1,14079,-1,-1,958946,-1,172568,664534,709513,780990,-1,-1,-1,-1,-1,-1,544059,618802,-1,-1,-1,-1,977952,-1,316576,-1,401421,43346,-1,212654,507184,-1,-1,365249,88616,-1,714021,291480,534417,-1,485582,534959,858098,-1,-1,339738,-1,388468,-1,-1,673281,-1,184333,-1,-1,923437,-1,-1,33146,-1,-1,552753,270708,-1,-1,469915,641269,-1,444610,817564,-1,-1,-1,-1,-1,853052,-1,-1,297801,-1,-1,-1,345953,-1,-1,528341,375495,-1,311826,588994,-1,921665,-1,525305,783832,-1,-1,361522,866729,-1,-1,479329,794337,-1,525604,572901,-1,887283,-1,-1,933902,586438,238129,-1,-1,449578,-1,-1,629663,-1,410604,79011,677702,-1,-1,-1,-1,-1,880212,870831,687133,189860,-1,-1,-1,457826,-1,497835,7833,357011,-1,173892,618766,-1,-1,954208,777097,-1,-1,315756,-1,248818,-1,-1,333937,-1,-1,-1,-1,368517,-1,930854,-1,-1,-1,298112,987414,910407,-1,-1,-1,490498,624214,-1,477035,401467,-1,-1,426413,289854,426756,44451,506529,-1,665144,-1,-1,793657,-1,-1,-1,87220,-1,677353,-1,-1,159248,169081,821929,805992,-1,810989,-1,550868,-1,-1,146257,-1,-1,561549,746236,-1,-1,608182,365765,-1,-1,765979,-1,561671,-1,940540,892688,330746,220823,215721,-1,898331,-1,-1,423514,-1,297380,-1,241772,257333,-1,-1,-1,530094,509193,179854,-1,193705,-1,840358,-1,-1,-1,441980,594508,568189,-1,-1,906492,-1,-1,688888,-1,746313,158416,-1,-1,-1,-1,367828,8702,-1,800853,841342,-1,-1,-1,733870,-1,159466,-1,-1,36937,-1,484392,-1,-1,766039,-1,-1,-1,-1,297155,-1,-1,201652,-1,875950,-1,435103,388547,557861,602913,452384,-1,-1,910811,262905,801188,-1,334097,-1,-1,350312,260275,993950,-1,802076,840400,420666,460227,917155,280430,892201,-1,-1,66853,-1,82552,473845,803151,164820,-1,973537,240274,141964,-1,-1,-1,10095,506409,568262,-1,-1,151768,357816,-1,320785,-1,-1,-1,39077,-1,794307,-1,-1,-1,639513,-1,-1,-1,-1,-1,-1,-1,923858,572266,-1,740430,-1,67319,-1,915186,-1,-1,-1,-1,867725,676510,-1,824852,-1,993559,516295,-1,418570,-1,482805,-1,-1,800572,271422,180996,118936,236319,-1,-1,-1,820378,789055,-1,396763,-1,901605,-1,-1,308075,-1,301198,928824,-1,-1,-1,157578,-1,-1,-1,-1,148396,-1,-1,168133,-1,385253,-1,-1,457104,-1,690205,74163,-1,-1,505061,403200,538680,393257,-1,317592,28383,-1,466478,-1,-1,208774,896294,762708,-1,839313,535454,-1,-1,-1,-1,-1,-1,739479,481155,363054,17202,802201,11248,922562,727197,460502,863387,-1,703043,311629,168579,-1,826841,-1,-1,-1,830974,912911,-1,-1,1096,506908,-1,-1,-1,-1,-1,172688,-1,558919,498509,128738,-1,960286,475690,-1,-1,965810,-1,154708,-1,-1,770375,804334,188885,-1,979167,257941,-1,767113,-1,-1,254118,-1,765548,28126,-1,-1,409201,-1,30433,795279,-1,513077,-1,-1,-1,850104,271442,-1,854232,-1,-1,772478,353166,-1,-1,88275,117701,682293,332878,-1,940567,-1,-1,567999,428827,-1,117652,409163,84471,-1,320596,618955,-1,302467,721846,812336,-1,-1,-1,890043,106320,147318,-1,-1,77435,-1,-1,887049,-1,935811,-1,654537,-1,571727,924181,694538,526432,688553,-1,-1,-1,545324,-1,813744,789984,-1,-1,31230,660306,-1,-1,-1,929711,-1,-1,459459,933976,-1,724336,548051,-1,132550,-1,537000,798589,-1,315858,507188,838381,-1,-1,180842,-1,418271,415918,-1,526902,843167,465795,-1,-1,-1,574505,100974,944674,628043,390568,-1,347705,-1,517567,290706,362033,-1,705229,253780,-1,-1,269213,-1,780707,-1,-1,12795,-1,127830,81788,-1,531646,-1,521793,948023,13330,-1,364679,-1,57387,591327,-1,-1,170839,-1,162974,346208,-1,-1,843992,534407,-1,303286,-1,-1,584490,-1,-1,-1,-1,-1,-1,-1,261165,-1,-1,-1,903820,815823,-1,-1,954678,667278,362129,149388,-1,-1,-1,985851,-1,582397,81555,247209,287295,863191,776952,-1,241771,-1,389601,587593,26298,-1,53738,-1,-1,-1,652351,853080,-1,444891,40295,549486,-1,65913,834239,-1,208920,397701,-1,932326,456603,347741,617560,207371,-1,237243,67429,-1,-1,-1,-1,-1,732244,927829,-1,197309,-1,-1,-1,291576,-1,-1,896202,194091,626039,-1,231846,762643,482959,861599,523942,101890,122970,495664,948429,787985,-1,571138,-1,653946,-1,516427,40080,-1,-1,998933,-1,51050,564025,-1,564105,63488,-1,-1,-1,16170,-1,731838,-1,345377,52783,-1,-1,-1,-1,-1,-1,182114,989794,913942,-1,-1,-1,851955,502657,716734,211958,14872,-1,-1,785989,43312,678747,450029,-1,945529,-1,-1,-1,996273,-1,-1,712845,-1,81951,-1,-1,174118,-1,723380,954014,698476,-1,355254,-1,-1,154772,749326,-1,-1,622404,-1,712507,-1,-1,958642,-1,768881,-1,99406,-1,582513,-1,-1,503921,530125,30632,298797,-1,-1,328897,231358,-1,-1,-1,-1,766421,290933,326403,593752,-1,-1,-1,-1,-1,-1,-1,-1,106190,356200,198822,-1,813930,-1,116180,802887,181960,-1,-1,-1,-1,428023,634249,180780,-1,-1,-1,-1,247893,871358,-1,-1,-1,766237,-1,809728,-1,130241,-1,87823,-1,180531,-1,656228,-1,-1,-1,650963,746291,-1,-1,123925,601872,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,451450,-1,-1,-1,-1,-1,-1,-1,-1,611222,-1,140519,333841,-1,605553,437390,-1,-1,-1,-1,686932,800173,534224,-1,603439,156311,-1,-1,158017,-1,-1,187751,469087,-1,-1,-1,827907,848366,-1,487553,-1,570779,819953,14064,-1,-1,246120,-1,-1,833152,165390,64232,765124,162842,706611,-1,391686,481727,489141,-1,-1,-1,226299,200329,391108,-1,-1,-1,-1,-1,-1,910076,-1,-1,89290,-1,96327,-1,-1,765701,-1,-1,-1,-1,982008,-1,-1,-1,-1,-1,461099,-1,487216,433399,831560,524449,-1,565534,410310,-1,426628,74501,-1,287560,775270,-1,-1,575763,425522,78549,742385,-1,-1,938951,-1,-1,88016,902538,-1,-1,-1,-1,-1,-1,685900,-1,792313,-1,-1,-1,-1,232974,-1,887073,-1,392714,-1,603311,179147,-1,183449,339782,81799,-1,560961,-1,-1,674682,-1,406821,-1,386510,-1,388176,575428,-1,-1,137956,490813,738987,-1,-1,203361,454020,-1,372322,577587,-1,602050,-1,673213,-1,171678,969625,611027,-1,244280,547643,401973,-1,-1,-1,917605,-1,-1,-1,-1,537456,881878,194715,-1,-1,-1,-1,-1,-1,570017,826097,-1,-1,-1,-1,615078,-1,-1,-1,-1,179763,420934,694480,70124,-1,99310,-1,-1,-1,-1,-1,-1,996105,-1,315789,919573,-1,503831,73518,-1,-1,871364,209618,-1,457300,-1,198333,282654,64249,-1,660158,-1,69342,-1,994819,-1,91800,-1,-1,-1,-1,-1,-1,821899,322361,-1,-1,910280,-1,-1,-1,-1,-1,847788,-1,-1,339411,-1,-1,717857,922122,-1,-1,-1,386466,508556,210484,299123,-1,803659,102382,382196,-1,415586,845351,-1,-1,733899,548069,420899,73579,-1,-1,-1,43439,662439,-1,-1,350916,-1,-1,796440,828429,-1,609829,-1,391601,-1,-1,246617,995464,-1,129540,-1,-1,149014,294993,812228,751766,-1,581131,-1,668190,-1,-1,-1,442431,-1,-1,966691,-1,866683,-1,642766,288679,-1,179455,571584,-1,81549,15440,-1,-1,190794,533156,-1,647158,574477,-1,-1,-1,745954,-1,331845,-1,891109,-1,486490,413114,499917,770134,298839,671645,-1,-1,-1,-1,-1,616803,-1,-1,-1,-1,314482,491193,187088,-1,214763,955517,-1,366534,-1,770549,592534,-1,-1,180966,-1,-1,-1,386001,502232,-1,221137,-1,982953,771900,518082,-1,345246,72480,-1,533758,-1,612672,-1,-1,153052,-1,296086,-1,-1,778565,-1,-1,743090,-1,-1,-1,-1,-1,527159,-1,-1,-1,105708,252472,-1,-1,-1,-1,380000,-1,-1,565222,-1,791373,32074,743605,345465,712360,-1,297794,-1,-1,-1,387910,-1,374018,-1,538419,-1,-1,840627,533306,-1,-1,260715,-1,-1,-1,558854,164563,920014,968411,-1,-1,517748,748919,-1,357527,-1,-1,-1,-1,-1,545147,939342,-1,-1,199015,-1,704637,-1,634192,-1,-1,-1,347448,-1,838916,-1,638313,-1,-1,-1,-1,876633,-1,-1,-1,690061,553157,223738,-1,605516,286064,-1,-1,517654,-1,-1,-1,-1,632835,-1,-1,-1,-1,-1,-1,-1,-1,871645,-1,-1,216896,-1,-1,817581,886925,-1,-1,480261,635078,-1,725205,-1,906345,-1,666304,-1,859628,-1,893117,-1,-1,303445,517152,879402,-1,-1,888229,911725,-1,847973,-1,-1,-1,736370,-1,-1,687148,-1,-1,73062,-1,-1,533740,848291,-1,-1,939619,-1,-1,308487,-1,207575,488623,-1,777893,-1,-1,813824,245758,820050,93627,-1,107384,-1,-1,48604,586848,148468,-1,115914,125778,-1,15122,467035,537417,896526,324216,737484,-1,-1,-1,623192,83267,-1,581102,841353,359922,-1,-1,-1,349199,358028,-1,370928,780256,-1,-1,653178,-1,642007,487265,630361,-1,-1,-1,573595,55893,314185,390490,688533,-1,277878,-1,-1,296898,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,536251,748047,903440,-1,65249,-1,450896,-1,-1,-1,884121,485535,412019,-1,20954,295365,148187,884460,-1,-1,-1,286090,-1,-1,321963,66091,137702,915049,871264,492593,118703,624242,-1,-1,-1,-1,887883,-1,-1,-1,-1,-1,275870,-1,-1,-1,-1,909232,-1,274792,798906,217955,-1,84736,680967,-1,242115,-1,-1,887114,553928,719780,865618,-1,-1,522662,429169,-1,-1,-1,-1,583925,-1,217784,904907,100930,-1,-1,-1,-1,92603,334157,-1,145884,402475,-1,-1,93255,690384,7501,621207,-1,534934,308115,-1,-1,-1,-1,-1,-1,81493,690807,-1,816097,688471,-1,-1,-1,-1,3652,386978,885298,-1,309265,-1,-1,-1,388308,969839,861465,-1,69804,303718,106988,403327,-1,-1,342992,-1,-1,584564,-1,498945,221905,-1,184994,-1,-1,178256,443212,687283,-1,-1,115112,-1,-1,-1,202387,48931,149562,981695,-1,464863,-1,162463,764090,-1,-1,-1,-1,-1,330816,616063,-1,-1,-1,431020,522142,404520,807290,977914,-1,282539,-1,608463,703844,261441,884185,-1,-1,688331,-1,-1,-1,262609,843215,817125,-1,-1,-1,392967,-1,-1,-1,-1,373593,-1,150204,-1,-1,133239,686718,-1,-1,-1,397328,215509,-1,-1,838174,75772,-1,-1,378801,526440,418149,-1,818220,-1,504613,-1,110532,-1,-1,-1,688402,382028,327079,-1,-1,-1,191075,-1,927713,-1,-1,-1,-1,-1,-1,119144,-1,-1,-1,97454,395591,-1,195435,-1,888117,-1,-1,389171,-1,813839,960927,-1,667003,-1,-1,727364,-1,-1,553429,-1,-1,553829,-1,768449,418687,304018,879525,-1,-1,-1,-1,466303,-1,468704,-1,142361,419324,-1,-1,-1,-1,136868,329286,181884,461160,-1,728388,344447,-1,-1,67286,-1,-1,840115,-1,-1,76827,-1,273108,-1,-1,-1,385429,-1,-1,-1,392301,-1,824160,-1,973597,-1,-1,-1,-1,624874,805874,221410,-1,241613,346194,-1,750518,113085,-1,-1,-1,-1,724821,752349,749658,-1,985920,694855,377282,484458,-1,627707,146199,-1,831355,-1,321864,-1,-1,-1,-1,293572,-1,530187,-1,-1,-1,-1,813464,-1,909568,796119,683505,-1,-1,-1,-1,-1,122449,-1,-1,-1,954914,70273,-1,-1,-1,-1,-1,-1,345463,-1,841969,-1,-1,981855,227486,657603,-1,-1,500646,-1,50603,137921,86351,-1,278197,-1,-1,627654,-1,101188,-1,-1,659607,883309,-1,-1,195188,258033,-1,51132,241663,313161,-1,-1,693306,164764,206743,-1,-1,-1,-1,-1,-1,249590,-1,-1,-1,-1,505095,-1,-1,508806,-1,-1,344430,104912,-1,856622,-1,865522,519670,356909,-1,-1,-1,728628,-1,-1,-1,-1,184823,-1,713679,-1,971429,821985,-1,-1,-1,476378,585112,841183,-1,-1,-1,136926,-1,-1,-1,22139,646543,174947,441062,682610,-1,-1,946736,727213,-1,-1,822179,295676,-1,-1,-1,-1,213671,282226,211323,-1,-1,-1,114530,637875,797339,734764,297931,-1,755587,995093,498399,-1,811157,-1,945241,-1,-1,-1,-1,-1,427508,312775,-1,-1,-1,-1,-1,158939,-1,126511,678166,356793,-1,-1,-1,-1,896856,68804,-1,-1,799445,6237,734811,630088,953337,-1,579146,-1,121397,903291,385110,67484,202922,-1,-1,715586,367033,330368,641283,727711,-1,-1,372039,-1,-1,955832,184097,948415,-1,-1,690187,688291,999028,267863,66069,795480,-1,270074,-1,931625,-1,333151,-1,-1,390186,606585,703935,793092,-1,-1,-1,872151,-1,464907,649274,727164,319996,-1,-1,196937,-1,503007,190255,-1,-1,259252,-1,768883,299228,931004,157619,-1,-1,-1,984104,494674,414662,446907,-1,-1,23431,-1,363545,-1,133908,339834,-1,400948,592283,909457,-1,24864,-1,390674,-1,-1,-1,265765,-1,846375,827883,725978,-1,328665,449793,-1,-1,665584,968631,-1,810188,311278,-1,-1,-1,569578,726235,493982,811210,-1,-1,-1,-1,-1,443302,-1,-1,-1,108862,-1,-1,-1,-1,-1,-1,-1,-1,-1,391477,-1,161970,-1,-1,-1,822468,-1,-1,-1,-1,-1,992227,-1,-1,-1,-1,665431,-1,398062,-1,974850,-1,841380,981179,-1,12545,-1,-1,-1,-1,-1,-1,-1,413148,291903,-1,-1,130713,427368,663766,692053,632403,389096,113093,687502,-1,-1,999275,202339,-1,-1,-1,-1,129900,897829,-1,196478,-1,-1,-1,-1,960050,67546,-1,-1,-1,-1,-1,263438,-1,285540,-1,-1,954632,-1,557374,56451,761383,-1,914646,822182,727608,-1,-1,178128,-1,501510,480749,-1,-1,741902,941154,-1,168721,-1,114321,-1,-1,-1,869658,819775,6552,-1,896470,651624,-1,294419,573556,-1,162845,-1,422516,478728,-1,-1,-1,568677,-1,-1,-1,486944,413038,185195,687648,-1,368025,-1,-1,287498,-1,-1,691736,252805,845944,-1,615376,695819,738284,870405,-1,538241,153297,-1,257299,-1,-1,911689,297161,368400,799868,-1,793026,-1,-1,254831,-1,295601,22504,636680,-1,-1,-1,-1,455211,-1,-1,-1,-1,-1,582819,-1,827403,-1,-1,-1,-1,-1,583458,-1,894026,-1,523373,722583,-1,-1,-1,675954,17619,264914,-1,810314,781304,-1,292310,490507,657892,353806,553013,400417,-1,505960,-1,916824,932169,910256,919912,-1,-1,919394,852313,868647,299032,717339,355295,-1,137207,446992,-1,-1,502927,118951,35018,381344,-1,-1,-1,-1,-1,-1,924742,105115,754824,847242,-1,982628,-1,227042,596579,826214,917475,-1,-1,-1,-1,645951,-1,-1,24882,-1,-1,176745,340230,-1,862417,-1,639311,-1,399598,-1,-1,-1,661300,735696,-1,431624,-1,611142,-1,-1,-1,-1,497852,-1,294282,418587,-1,766338,993205,-1,88646,-1,844690,440477,771096,186950,-1,92713,832091,628855,-1,937778,184345,-1,-1,299165,838133,546904,-1,-1,372758,701132,-1,-1,-1,-1,342032,-1,300701,232998,-1,-1,542993,856102,-1,-1,-1,13005,-1,8098,82279,72835,-1,-1,-1,-1,-1,-1,811631,-1,-1,-1,-1,287499,-1,-1,-1,950630,-1,-1,858382,-1,24906,118836,87433,931179,959990,-1,7488,-1,489407,398626,-1,-1,-1,11600,-1,-1,361344,-1,215120,492392,460754,-1,508005,-1,-1,257342,-1,704382,-1,298881,-1,541381,550918,-1,-1,413900,942310,-1,258965,796741,200032,-1,-1,184449,-1,-1,-1,412374,-1,778972,-1,-1,750304,219173,-1,-1,-1,-1,804850,-1,-1,-1,-1,377039,-1,-1,980269,904216,344839,80970,410271,885282,22212,470904,485418,-1,-1,907418,622124,233068,-1,-1,818670,914487,857542,584328,-1,-1,247352,-1,-1,-1,-1,-1,331634,797921,79254,-1,-1,-1,567561,892547,15377,-1,-1,617327,455950,-1,115229,-1,352237,-1,-1,-1,895751,-1,-1,-1,-1,160640,523898,-1,178747,-1,-1,426521,-1,-1,123629,917684,887568,929121,154485,121439,476065,895354,20477,-1,-1,574388,-1,-1,-1,-1,-1,335904,808651,90910,-1,-1,83706,175731,-1,-1,688922,-1,454345,137974,189893,806522,-1,-1,-1,-1,619660,-1,-1,337160,-1,-1,353852,-1,192787,-1,303084,-1,431695,-1,538554,394102,852907,-1,-1,-1,246648,-1,-1,517229,-1,-1,-1,663806,60480,821315,925909,-1,405853,843157,176568,-1,-1,929799,-1,236055,-1,-1,-1,-1,-1,7067,218701,-1,526125,-1,-1,322317,-1,-1,432521,477858,-1,-1,566284,660857,-1,373417,524290,-1,-1,459355,-1,-1,478676,-1,-1,627251,-1,-1,-1,-1,356479,33357,-1,-1,-1,834903,186453,-1,-1,-1,526592,-1,310976,-1,-1,-1,564785,563874,-1,-1,658490,203947,-1,-1,-1,951834,554588,116347,-1,86440,266759,849904,757866,-1,-1,800595,-1,320225,-1,-1,123026,760182,827198,-1,931036,-1,599455,-1,-1,757982,-1,19720,-1,79692,801346,843927,-1,442693,-1,-1,66347,924951,-1,-1,-1,-1,39756,87534,-1,859307,479367,887385,-1,-1,803832,981729,-1,-1,-1,-1,-1,578774,331404,396661,544798,361083,-1,-1,-1,-1,-1,-1,916605,-1,5357,394545,-1,606081,-1,771130,-1,-1,-1,806398,-1,436744,-1,-1,-1,532777,-1,-1,-1,503629,115982,309284,139981,468827,72897,-1,326102,-1,-1,-1,-1,-1,944910,-1,-1,841886,-1,-1,860611,-1,391082,164202,-1,34732,-1,-1,-1,-1,325570,789275,-1,953504,5562,-1,958707,383337,203206,-1,648614,681263,-1,-1,-1,-1,-1,302132,-1,-1,188020,-1,-1,-1,583912,-1,453071,128015,757302,244522,-1,961621,-1,811909,786827,85147,-1,-1,-1,-1,-1,483572,958202,704613,-1,-1,-1,-1,-1,921739,27488,-1,-1,956781,755291,-1,-1,-1,-1,527825,-1,-1,769253,627564,114999,-1,106992,-1,521671,-1,769226,-1,458824,-1,-1,349707,864910,396646,959262,-1,-1,-1,369877,137267,-1,-1,-1,957100,233435,58163,-1,-1,-1,81073,-1,290900,-1,45346,-1,-1,459895,-1,-1,-1,-1,-1,116742,957907,-1,923555,146989,-1,495079,-1,327216,581370,651817,-1,212394,-1,673387,-1,-1,-1,660446,-1,-1,-1,458980,958920,-1,-1,476416,591933,500309,-1,936519,-1,-1,489082,-1,-1,-1,791596,797534,-1,-1,905214,637041,-1,-1,-1,488702,-1,-1,281824,217566,135327,-1,539828,595577,59368,544246,-1,-1,-1,-1,677459,347587,-1,34589,-1,526911,64750,-1,-1,13721,-1,-1,-1,-1,643194,-1,-1,-1,-1,-1,-1,515288,-1,465771,-1,-1,-1,-1,949544,-1,269072,-1,348209,66589,327117,473935,613211,-1,-1,-1,-1,736764,185523,307656,875051,-1,-1,845460,-1,363343,-1,-1,732151,175382,356097,81971,-1,-1,369324,-1,-1,-1,975747,857491,626667,25271,-1,-1,895872,-1,-1,934959,-1,783963,987556,977777,927315,284387,-1,-1,426428,836749,206953,625109,-1,-1,369719,-1,233157,-1,654776,476925,278189,-1,-1,-1,841317,-1,455974,659179,599789,699060,736798,-1,789727,734380,-1,-1,60436,330775,-1,644316,-1,-1,436470,-1,398347,331685,25483,-1,-1,-1,839364,535969,726839,-1,166780,919265,489350,961158,-1,-1,176008,-1,492421,777222,-1,118255,-1,-1,-1,545243,59425,977697,-1,611985,-1,-1,-1,-1,-1,-1,806824,-1,-1,-1,687096,-1,367170,217245,-1,-1,-1,139556,460627,-1,-1,-1,-1,34202,-1,-1,-1,220610,649270,364155,505666,-1,-1,-1,-1,650789,420643,535724,63876,225462,-1,482809,123333,-1,-1,-1,-1,-1,-1,-1,945428,555325,-1,-1,279168,-1,356672,392331,481829,-1,579118,-1,955499,567208,842474,789204,-1,144958,-1,984028,738416,934300,152935,-1,404535,842462,-1,-1,-1,127315,-1,646123,-1,36841,583040,-1,520491,-1,986861,436809,288632,769148,-1,468452,-1,-1,-1,24172,736783,-1,-1,433045,370117,589141,-1,252532,42770,679841,-1,-1,350817,498468,-1,-1,-1,666603,-1,-1,-1,737196,-1,-1,-1,-1,-1,-1,157072,714389,20975,-1,-1,-1,796944,323474,367843,414562,-1,-1,-1,-1,544287,-1,401199,266585,913003,-1,-1,-1,934566,710307,-1,-1,-1,-1,13932,-1,749276,869253,-1,-1,781863,-1,-1,-1,71379,-1,856533,-1,-1,-1,-1,-1,-1,129114,952015,-1,45636,17681,101919,630451,-1,262459,766689,-1,323906,-1,86576,281185,409588,-1,275030,-1,-1,-1,-1,-1,-1,-1,106198,-1,-1,-1,-1,-1,306367,-1,118127,928319,847030,680149,520233,-1,961875,-1,122269,8552,296241,-1,599568,-1,-1,-1,-1,386838,-1,-1,981870,-1,260977,-1,-1,231398,330352,-1,-1,-1,-1,610046,459934,-1,-1,661619,-1,-1,775088,666521,-1,-1,581473,-1,-1,317898,-1,-1,789541,835398,-1,-1,460647,-1,48916,-1,-1,-1,665491,478350,265767,913376,-1,-1,-1,-1,621256,-1,-1,-1,-1,906897,620119,288569,183028,272941,-1,948051,945104,-1,69769,-1,796696,-1,29841,-1,962562,1523,437136,297322,-1,333826,-1,739865,-1,-1,-1,-1,-1,-1,-1,-1,-1,401703,-1,391419,847480,494196,-1,-1,793923,617869,-1,-1,-1,-1,-1,-1,-1,-1,-1,162920,-1,643345,-1,899223,648836,-1,-1,345717,591267,514717,-1,-1,-1,194538,-1,-1,-1,-1,288492,206126,423616,69976,741951,-1,-1,-1,792267,677724,-1,491369,485376,387750,-1,631690,-1,499791,365961,359170,953265,-1,225981,-1,-1,277369,-1,955227,-1,523099,-1,-1,477316,-1,-1,303702,324687,394022,711355,676425,-1,481089,595122,234795,-1,-1,922429,803178,-1,757800,-1,779566,981083,783481,239854,-1,-1,-1,718547,-1,909378,550731,65125,-1,-1,-1,155147,452702,-1,-1,-1,587566,515734,997298,765361,-1,-1,-1,-1,40498,-1,-1,-1,-1,668673,-1,855437,-1,488585,-1,-1,-1,-1,220127,-1,-1,-1,-1,799086,-1,566061,941779,-1,-1,-1,-1,-1,-1,-1,-1,970788,-1,-1,436400,-1,993336,-1,-1,91208,128972,964694,329260,-1,363976,294557,961364,-1,954820,790280,-1,-1,85249,-1,-1,-1,95768,-1,-1,-1,249901,120282,-1,-1,74288,-1,-1,710947,-1,-1,-1,534149,-1,-1,733205,587652,-1,-1,-1,-1,-1,999166,-1,-1,-1,10694,-1,-1,-1,146927,957663,828766,900576,65378,374064,769330,-1,-1,528966,-1,-1,-1,-1,689872,520249,-1,467216,932533,63362,474050,-1,-1,497068,-1,466572,-1,509946,694003,-1,-1,-1,-1,564671,950155,700648,620319,-1,167560,-1,463876,718109,102603,-1,-1,-1,-1,571942,310419,643152,-1,585293,-1,-1,-1,-1,-1,466600,173507,-1,317497,619360,415594,-1,-1,-1,793850,6043,319767,345761,-1,-1,-1,-1,699004,-1,-1,-1,299604,186877,-1,-1,-1,-1,-1,528358,279921,328147,140849,360420,-1,-1,640653,695298,75509,-1,369682,-1,560510,9451,-1,850162,466971,-1,949862,-1,685142,-1,517863,-1,848890,393910,663103,-1,-1,-1,907401,84816,-1,32588,989374,-1,770060,-1,283147,201567,434984,165781,365672,277828,-1,-1,714504,435086,-1,153561,-1,263633,-1,-1,-1,795474,268195,-1,-1,940378,176510,372619,-1,-1,-1,396480,-1,822430,-1,669029,777038,739272,-1,524304,-1,49305,-1,303506,-1,-1,516283,972217,-1,-1,-1,822392,-1,541245,-1,86383,-1,-1,76018,309820,245702,-1,-1,120846,355477,-1,771394,472889,403927,-1,525257,-1,-1,392067,-1,366753,240459,-1,994313,810119,395471,532383,329866,-1,-1,520699,-1,-1,-1,-1,917349,-1,-1,-1,680007,503833,390192,2266,378638,99903,389817,-1,-1,-1,793093,-1,489796,-1,296955,901743,-1,129018,113386,872302,393511,808795,-1,-1,639582,-1,-1,-1,373355,43436,-1,168846,-1,381763,139082,-1,664767,-1,164474,959674,-1,-1,-1,-1,35728,-1,-1,541810,-1,-1,616464,-1,-1,782010,141593,103291,-1,-1,35317,-1,-1,335970,86098,-1,470911,-1,-1,-1,525758,-1,-1,897631,-1,533818,-1,-1,-1,-1,-1,256381,-1,959627,716247,534953,-1,244969,-1,547934,732769,-1,-1,-1,297314,-1,-1,-1,945329,413695,638373,996429,-1,57695,-1,-1,-1,-1,689236,-1,982999,799564,366902,879968,-1,510052,611853,-1,-1,491971,-1,-1,-1,597182,-1,-1,735735,935301,172419,664445,413319,-1,125537,-1,-1,-1,277086,223104,758574,636631,653866,-1,232467,85592,-1,-1,5176,570803,203894,728925,-1,-1,-1,-1,764483,291743,-1,-1,-1,206071,-1,-1,-1,-1,-1,310435,-1,-1,-1,-1,-1,-1,-1,-1,242973,897775,945004,-1,195345,341697,4770,-1,542868,-1,-1,-1,-1,-1,-1,990564,24161,-1,168297,-1,833608,353737,-1,86630,-1,-1,639818,657412,992763,-1,109567,641428,4391,-1,-1,953274,176466,-1,-1,-1,-1,-1,226021,-1,-1,90755,-1,281357,-1,110091,-1,469569,743469,388426,-1,-1,-1,-1,-1,-1,204555,104085,86327,-1,-1,732818,104366,-1,-1,900602,825239,413957,-1,-1,137993,-1,673742,705581,794919,178266,608487,-1,-1,-1,-1,-1,117703,527931,423247,546722,321726,-1,647827,-1,-1,391685,978940,503293,563359,-1,-1,68942,463442,-1,491477,552138,295231,554314,4722,958576,651980,-1,845727,-1,-1,-1,-1,-1,195874,-1,559449,815580,91405,-1,523545,490269,186302,746100,560020,-1,900352,739633,980166,-1,-1,842374,-1,-1,536181,-1,417191,431371,-1,534314,666303,-1,-1,-1,-1,-1,740406,584498,-1,-1,514576,682052,-1,365502,546720,-1,-1,55747,-1,633962,-1,-1,194772,383121,-1,-1,828816,497238,-1,402823,-1,908285,-1,795174,582464,154106,925470,977846,375065,-1,-1,-1,-1,-1,-1,303417,-1,779644,-1,-1,-1,780981,970710,452710,-1,957603,-1,-1,90975,554704,667643,-1,-1,-1,370410,-1,-1,638813,606422,-1,705591,-1,363703,449816,-1,15101,-1,134846,-1,-1,-1,948514,959232,-1,182032,-1,-1,406606,520726,-1,-1,121788,-1,131022,-1,200235,426978,-1,-1,-1,765711,646356,849086,-1,369513,215147,544169,742154,693821,-1,-1,-1,613381,304063,-1,-1,545097,-1,295729,615871,-1,-1,-1,-1,-1,-1,747784,358414,-1,-1,-1,-1,770329,944229,815471,733369,-1,-1,696033,-1,438267,705124,850436,934437,-1,742158,-1,-1,108510,-1,-1,-1,775285,820061,-1,442721,-1,-1,-1,499508,697626,-1,-1,637906,949905,629462,-1,448494,350552,-1,-1,451769,-1,633905,-1,113586,10465,-1,-1,-1,-1,-1,-1,-1,-1,759894,-1,963945,-1,-1,187181,68342,-1,858770,-1,785639,367663,939825,135812,-1,-1,105506,710216,-1,432148,711675,-1,626377,545752,-1,-1,-1,928573,280333,-1,159978,-1,-1,255999,-1,895020,-1,-1,889040,-1,-1,-1,-1,-1,334129,-1,384422,792994,-1,-1,-1,697692,667239,256420,-1,-1,105425,403155,365451,62931,189293,908111,551103,33862,721255,736215,-1,734031,896549,438013,721526,22152,319211,-1,301544,-1,892364,442189,468941,206959,-1,817364,920877,-1,-1,-1,-1,908848,-1,912615,-1,709674,628445,-1,532795,-1,496404,-1,413285,-1,277473,393186,-1,-1,315941,-1,96401,41442,-1,-1,288041,551381,-1,-1,295897,-1,-1,469542,303761,-1,921876,197559,876887,745987,-1,-1,85324,-1,-1,-1,-1,-1,-1,-1,-1,57929,-1,436204,125599,-1,102325,98341,704887,434535,971651,650300,973846,-1,-1,-1,681461,874283,-1,-1,609502,380008,669791,204700,415838,-1,865693,180829,-1,-1,830681,-1,-1,-1,607752,811447,280361,-1,-1,963867,883914,872472,51509,-1,997458,-1,-1,266428,853950,200840,-1,-1,-1,-1,213358,-1,-1,-1,-1,875094,-1,232614,4502,-1,45434,-1,-1,248312,759151,-1,186223,-1,-1,-1,-1,-1,-1,907702,-1,-1,-1,397083,-1,-1,-1,-1,58782,96369,-1,-1,497731,208788,523271,528467,-1,-1,892952,-1,-1,-1,-1,-1,610038,-1,608556,-1,292122,211239,-1,800682,-1,760405,-1,-1,-1,693456,-1,205384,-1,-1,275016,-1,148222,-1,-1,441484,-1,-1,-1,273465,-1,-1,484244,828696,-1,788591,322703,848962,160299,714491,-1,-1,156957,510015,319748,176620,-1,-1,-1,-1,-1,-1,301269,600969,553258,-1,603569,141150,-1,880826,-1,-1,932371,-1,-1,974779,361238,24686,-1,-1,925436,96683,-1,650470,522395,-1,-1,-1,152581,-1,-1,-1,983044,-1,741719,108935,470101,931653,87942,-1,650438,-1,386252,627184,-1,780390,64687,649487,-1,638328,848876,-1,-1,27988,227274,151204,857780,-1,432114,901377,-1,658123,-1,-1,-1,-1,43349,275608,491093,-1,-1,214066,730139,-1,-1,-1,-1,-1,-1,601082,248439,202905,663022,-1,-1,571360,902314,761846,-1,-1,-1,-1,25692,-1,-1,306496,717837,549448,260732,-1,-1,180681,-1,-1,702506,118975,714958,754327,-1,526033,-1,-1,917518,501004,-1,214681,-1,370892,-1,478867,806256,-1,-1,-1,-1,821345,846248,209401,-1,293403,978066,722543,34986,-1,237508,391425,921387,955453,617487,-1,-1,117079,-1,91447,948999,-1,-1,21805,956088,-1,-1,643571,-1,-1,482744,-1,-1,-1,-1,677051,-1,360199,654284,754559,744485,-1,998163,950435,833871,-1,746792,527971,434187,-1,-1,-1,708874,-1,83313,294748,449170,823868,-1,384594,911132,672444,155453,474681,-1,645592,-1,220111,668958,-1,-1,632912,-1,351030,943504,-1,834089,-1,263324,515038,765179,-1,-1,-1,-1,630839,840412,-1,-1,597946,13437,826527,-1,228611,842826,950721,-1,515374,966977,446483,889308,-1,638988,765214,649546,-1,-1,103225,129865,-1,147562,-1,474891,209949,746089,-1,331613,-1,407609,95912,-1,690728,-1,263138,563703,640570,686460,-1,300316,392156,210971,-1,394193,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,493659,626360,-1,-1,856580,-1,-1,573739,169614,808473,-1,-1,718931,-1,-1,384094,266217,-1,-1,486966,-1,-1,-1,861540,365924,-1,377125,-1,137615,-1,700566,279953,-1,-1,-1,-1,693595,-1,132687,93644,-1,-1,-1,-1,124279,-1,-1,357991,-1,-1,-1,-1,-1,233009,578763,-1,854097,-1,-1,-1,-1,722881,181414,-1,-1,-1,711505,474242,-1,978536,340766,258569,-1,-1,-1,92073,715607,857717,-1,776754,524195,55327,476045,588718,94485,352542,-1,-1,-1,-1,-1,581277,878320,-1,119029,-1,557106,797508,509566,-1,537952,-1,856210,946298,304996,35905,-1,-1,904783,947218,761832,-1,686812,796123,-1,251272,79757,386534,-1,115354,998387,794123,-1,-1,628328,-1,891484,796002,458489,-1,906425,-1,295419,769738,240054,8256,-1,-1,776172,423760,8527,-1,844839,-1,346902,-1,-1,659052,819004,-1,-1,-1,-1,972114,-1,814910,-1,119224,995780,340246,-1,-1,-1,-1,862098,623875,753903,-1,-1,938087,786619,-1,884848,-1,-1,799292,382214,379501,285019,947327,-1,-1,528939,306986,581680,487610,-1,-1,-1,487185,-1,-1,772787,404006,92153,-1,740065,235591,881214,-1,569153,-1,568160,285411,397749,611638,-1,533989,306558,-1,8002,-1,-1,-1,-1,-1,-1,-1,182474,625483,-1,146916,993994,-1,875012,471040,117290,-1,848169,-1,-1,-1,584030,-1,39333,539861,-1,497424,534261,942614,-1,72806,642276,774411,-1,-1,-1,101562,-1,-1,647486,-1,251403,526566,838598,-1,-1,891576,713067,-1,-1,496290,676603,-1,-1,-1,-1,852822,743205,156979,-1,-1,-1,940369,-1,271315,915293,-1,-1,-1,625445,206153,305047,355086,-1,-1,-1,56322,898311,341756,-1,625421,193050,-1,-1,-1,-1,-1,-1,165425,592538,-1,-1,564118,-1,-1,603121,1037,-1,499775,31647,-1,-1,454861,495235,-1,-1,140170,-1,870304,-1,658567,-1,386639,-1,83825,904236,-1,-1,250147,638182,-1,-1,-1,-1,-1,527676,-1,186612,980863,898674,-1,338540,615619,775357,-1,129136,-1,118368,-1,952016,930338,188547,889784,272173,-1,-1,302952,209657,839169,613073,-1,738110,-1,43966,2833,-1,372654,378,691621,-1,92102,604433,-1,463425,501978,395406,160421,129462,793998,97568,-1,187585,-1,-1,-1,356157,-1,-1,782719,598568,755334,-1,741257,-1,-1,880289,-1,-1,-1,241447,655577,-1,-1,-1,-1,-1,-1,-1,175566,767094,-1,-1,569492,858399,-1,287732,143359,964372,909089,564191,-1,-1,-1,-1,583030,-1,-1,366685,450929,-1,611739,805087,58836,-1,-1,992328,490153,960388,-1,-1,-1,-1,537807,-1,613936,883767,320033,-1,-1,-1,-1,484837,238402,-1,-1,-1,593620,-1,2566,-1,209493,-1,-1,-1,482114,-1,-1,-1,-1,920972,334785,-1,-1,148742,-1,949204,-1,-1,410457,-1,-1,-1,784477,631467,-1,-1,158650,-1,723461,953296,-1,704286,71835,833765,690980,762921,530934,-1,-1,637814,-1,-1,687928,943485,700587,-1,-1,316183,411501,-1,704185,219282,789586,303221,-1,36943,-1,-1,631884,-1,578593,204321,-1,305776,471488,-1,270170,-1,-1,226478,-1,74378,-1,884879,-1,-1,-1,-1,179865,971220,-1,-1,349808,-1,212417,-1,104111,-1,981430,738693,568108,382246,-1,-1,812212,-1,-1,-1,501526,100664,272141,772893,10071,-1,-1,174384,-1,-1,609954,804016,-1,310978,396648,-1,-1,613952,-1,-1,-1,-1,-1,162359,82291,442166,555255,-1,334124,143901,174123,141977,968447,-1,-1,-1,728795,-1,-1,375882,582092,-1,407084,288207,-1,-1,-1,935340,421893,842770,-1,-1,-1,-1,190790,929018,908229,914061,-1,493169,922271,994367,-1,-1,962877,737734,222167,754857,157057,125736,484176,-1,-1,-1,264441,-1,-1,682400,-1,-1,602501,-1,-1,683672,-1,-1,45929,633632,-1,-1,-1,259849,-1,-1,686848,146200,-1,-1,-1,-1,-1,155324,-1,-1,995596,62179,867545,723219,839925,-1,-1,783879,-1,302967,616606,999960,880349,-1,240833,-1,280276,567045,77397,-1,521940,-1,-1,894911,569942,-1,72273,-1,242397,-1,-1,960840,25167,430778,-1,-1,-1,-1,-1,849242,-1,-1,227585,508626,123598,986274,-1,118689,-1,501965,-1,-1,-1,605097,442079,-1,-1,121647,-1,-1,954128,-1,866357,933023,-1,297014,-1,499482,-1,769755,462195,-1,-1,500402,-1,-1,-1,388668,-1,701979,662064,-1,-1,588600,-1,-1,301078,-1,65885,108485,237721,23314,103246,243722,-1,451302,370894,936788,-1,-1,541393,-1,-1,112295,537539,-1,-1,-1,983969,-1,672326,491287,-1,-1,-1,636702,-1,618099,-1,-1,-1,-1,-1,442966,-1,342214,45010,-1,764290,-1,-1,-1,-1,-1,-1,71763,852937,955036,52907,186558,-1,-1,-1,134479,-1,885890,39127,104097,-1,-1,-1,681901,164896,-1,951208,813121,402210,577607,-1,685398,364210,-1,-1,-1,213416,-1,670002,690083,-1,-1,-1,-1,881699,617287,-1,929914,-1,-1,34891,715604,399094,696611,-1,-1,-1,-1,3301,295560,336858,796717,853697,-1,619717,800010,-1,-1,265811,293984,545822,846489,-1,-1,-1,205976,910968,516244,-1,-1,-1,701555,-1,521391,575621,964698,506826,603989,552354,879990,954083,115661,-1,-1,778125,-1,-1,633892,898134,-1,-1,372547,-1,431336,-1,276292,-1,-1,-1,-1,-1,181150,-1,-1,-1,443535,-1,238098,-1,843873,-1,211351,-1,731690,-1,530640,-1,-1,146688,-1,-1,426279,854473,545534,-1,-1,968030,978404,641065,-1,-1,635536,49071,231517,-1,-1,-1,-1,146028,642152,-1,-1,-1,-1,73317,-1,-1,-1,-1,-1,220972,34033,-1,972226,-1,-1,-1,905056,-1,214414,-1,-1,481404,-1,577165,990977,-1,-1,841747,-1,339067,-1,-1,-1,541985,735018,-1,-1,-1,56736,-1,537838,648024,-1,-1,449000,571019,818053,33256,942719,-1,856908,125500,916539,-1,-1,857559,-1,560538,958612,74880,567105,-1,751407,-1,680358,-1,652428,790587,257833,724437,881084,-1,546205,-1,-1,-1,-1,-1,532056,398313,815372,246405,904234,-1,-1,112107,71322,662720,287619,704277,766815,364071,-1,88601,633707,-1,458648,135888,407709,-1,-1,-1,-1,-1,-1,711417,165318,492214,209268,970547,283094,247800,193011,-1,556714,-1,87898,921563,614473,-1,-1,136732,734508,-1,754884,-1,-1,-1,725414,-1,905473,-1,-1,964140,347211,916276,-1,-1,533646,458504,787419,383442,670608,948975,448257,808759,-1,558093,853744,-1,613450,-1,752948,-1,468855,958563,296690,941044,12597,141880,833676,-1,-1,884749,438313,881579,-1,-1,165149,897967,206873,-1,846590,-1,-1,252274,-1,775978,410951,554117,768050,-1,-1,192985,-1,-1,-1,285210,261213,593027,-1,-1,-1,553946,175210,-1,959024,-1,-1,222936,-1,-1,-1,-1,-1,953830,-1,-1,743007,832980,-1,-1,984669,-1,857302,-1,565307,881711,-1,814097,112896,689661,-1,459041,53218,666400,-1,-1,298587,-1,-1,-1,-1,-1,-1,493733,92873,-1,45130,-1,-1,714792,-1,-1,584339,-1,582051,-1,-1,832201,552177,631132,-1,161715,527598,-1,-1,-1,-1,-1,322425,373938,275352,-1,-1,-1,-1,454055,767736,910382,539610,-1,-1,913469,-1,-1,-1,644622,960529,956716,854090,-1,-1,-1,-1,-1,93827,-1,648800,-1,100921,632328,-1,-1,923451,67819,-1,-1,-1,-1,-1,-1,870319,153487,-1,81558,-1,425387,248002,-1,-1,-1,-1,-1,-1,66926,-1,-1,-1,-1,-1,-1,-1,11846,282483,56645,-1,837730,-1,-1,-1,663670,250868,814169,-1,-1,127068,774352,955491,-1,-1,-1,-1,-1,-1,9031,-1,524326,453236,-1,-1,-1,-1,149584,-1,104406,-1,90626,3507,922306,-1,369164,-1,-1,85675,257769,-1,-1,148499,355985,610633,-1,395941,87620,-1,-1,-1,760356,-1,-1,779747,693059,866579,-1,-1,275051,-1,397647,152332,-1,804772,-1,-1,-1,938913,-1,823722,-1,237169,374459,-1,-1,474078,-1,-1,841670,-1,55033,-1,-1,-1,-1,41318,-1,-1,56541,-1,723114,-1,-1,-1,924733,413650,468936,805121,648289,-1,-1,240850,-1,-1,912675,3883,582392,-1,-1,-1,-1,776558,-1,-1,262722,26202,-1,322243,67638,-1,-1,-1,-1,163153,-1,-1,-1,-1,-1,-1,131213,-1,607354,487677,-1,-1,50848,208050,-1,538839,-1,-1,988422,802785,-1,-1,-1,-1,702106,-1,-1,-1,-1,-1,-1,-1,318877,786554,-1,-1,591168,526351,-1,669524,830613,-1,600897,369037,529869,902867,870335,-1,226671,-1,-1,803574,154373,-1,-1,359160,5709,-1,427386,-1,284214,3534,-1,70922,-1,45375,778222,-1,199844,-1,324329,-1,-1,211317,-1,-1,-1,758403,223705,313462,299702,14751,71910,-1,576582,122994,-1,126824,-1,264629,-1,286902,-1,806545,35853,-1,907903,-1,323428,426800,352709,-1,-1,-1,-1,38432,907659,-1,-1,32356,-1,392258,103447,-1,-1,599092,-1,202208,554803,999930,-1,159579,-1,-1,480423,-1,76457,216237,996917,944271,-1,951274,149113,432921,-1,693943,767658,533330,-1,-1,-1,713576,431725,686392,-1,7422,138884,-1,643693,770993,979403,999855,270979,478621,704643,-1,845453,-1,-1,721189,50212,869337,972905,994414,-1,26447,558289,294249,-1,851288,438877,-1,945235,73643,-1,-1,784017,486654,-1,513493,994858,-1,-1,-1,-1,-1,-1,874980,732010,-1,-1,826385,636029,654905,-1,550978,93794,-1,-1,-1,851535,200425,-1,-1,-1,400963,-1,951817,514978,291135,956361,123804,749517,-1,-1,420466,-1,-1,49284,-1,-1,627632,-1,622217,-1,-1,-1,-1,-1,127713,-1,-1,119078,-1,-1,-1,260325,-1,753136,-1,476324,76327,151502,309972,517160,-1,765786,-1,343301,-1,-1,435819,-1,-1,597418,-1,555226,720108,907277,753335,-1,-1,141879,766981,-1,-1,-1,-1,491584,-1,-1,951247,294686,-1,-1,882816,-1,850999,-1,-1,-1,-1,-1,570867,-1,127316,544222,-1,-1,-1,-1,300254,-1,-1,-1,82771,818182,-1,190907,241391,-1,-1,-1,881560,-1,576998,-1,500833,420937,-1,570698,307926,428317,-1,-1,-1,705684,262801,287472,-1,-1,721190,-1,-1,-1,76440,-1,-1,-1,-1,-1,-1,-1,-1,-1,676113,14222,986283,649335,957372,-1,206763,779167,-1,338469,-1,74481,-1,-1,650018,490957,-1,-1,824150,-1,16197,-1,-1,-1,946705,-1,375246,-1,-1,460124,449749,315879,20726,-1,-1,904333,-1,984746,734824,-1,901049,662585,-1,52816,-1,295238,-1,214085,-1,-1,-1,-1,228801,-1,-1,-1,983167,-1,252097,-1,50876,773424,-1,416457,683361,-1,888913,853255,-1,34096,-1,107676,30615,-1,-1,-1,512922,556988,139072,-1,-1,-1,-1,-1,237165,-1,725319,812630,-1,508942,-1,164874,-1,-1,405139,-1,491470,683968,-1,161380,978281,-1,-1,122841,-1,-1,-1,234758,181724,590443,-1,507803,-1,-1,952852,667305,846459,-1,-1,498052,-1,-1,285027,38233,112415,178511,677630,-1,138403,-1,-1,-1,342870,-1,-1,-1,271585,281521,455673,274799,-1,-1,881019,108673,345210,520413,-1,-1,118575,-1,-1,-1,286325,129657,338783,585531,-1,509317,400990,429772,147223,-1,541897,-1,766420,437607,-1,641890,-1,349284,727869,-1,-1,18809,-1,-1,-1,-1,-1,367933,628554,420834,678931,182959,187590,-1,685806,-1,-1,35893,-1,713078,698640,718354,885530,154644,-1,927166,922251,-1,261649,676079,-1,-1,569325,-1,660331,625989,-1,598780,-1,-1,-1,315773,-1,-1,-1,927443,307241,470292,684906,-1,-1,100443,-1,505618,752901,281867,-1,420044,82338,-1,781687,636075,335668,-1,-1,-1,882613,790683,277092,78295,715540,90489,-1,-1,33724,-1,450502,-1,699983,-1,336106,-1,-1,-1,-1,746820,-1,-1,226023,715663,-1,-1,-1,529153,-1,470371,841815,131484,-1,-1,392035,744197,315608,-1,-1,496124,101204,801158,-1,-1,74933,-1,-1,-1,997521,735547,967805,-1,-1,-1,-1,-1,126383,-1,-1,-1,-1,-1,-1,-1,656999,504564,-1,-1,664916,718183,618182,-1,-1,-1,-1,-1,431481,54955,780813,-1,991885,-1,-1,798290,-1,-1,679195,119560,195334,59451,724140,397866,557119,238050,585079,-1,-1,560295,979592,-1,-1,470639,-1,-1,893318,742964,770287,-1,338993,-1,-1,-1,98420,-1,25869,-1,-1,-1,-1,633203,896147,916094,-1,119165,177489,-1,-1,615357,789035,-1,-1,6496,663182,-1,301001,-1,-1,-1,-1,201293,117643,-1,-1,-1,-1,629112,-1,759060,-1,-1,-1,876525,93059,97059,-1,459652,458005,-1,931089,-1,-1,-1,-1,955292,-1,359043,-1,-1,54368,-1,-1,367055,989430,714532,-1,-1,506535,-1,118160,168528,-1,191664,-1,902586,-1,-1,59615,38234,-1,-1,-1,-1,214258,-1,-1,662029,-1,-1,-1,-1,611544,-1,-1,-1,373032,-1,716772,-1,-1,372010,-1,706377,-1,387817,-1,926646,-1,-1,553659,991107,-1,-1,871804,390004,517951,-1,-1,-1,446252,680870,-1,749429,-1,50392,-1,-1,-1,-1,644297,-1,-1,-1,-1,263605,548608,-1,-1,403311,443935,-1,75475,-1,-1,51694,-1,-1,133622,-1,761110,-1,790881,476937,-1,716869,523637,-1,-1,785402,939282,149829,-1,233580,-1,55435,-1,803941,146839,959775,-1,-1,298751,-1,-1,-1,59590,-1,258786,194476,-1,512088,-1,15806,-1,613178,858944,-1,-1,-1,398511,281976,223475,430041,-1,-1,873252,-1,868695,545422,-1,-1,90149,-1,950034,-1,-1,-1,-1,-1,-1,338924,-1,878995,-1,526099,835229,693098,-1,-1,-1,260308,418211,-1,782916,736001,608628,-1,-1,-1,-1,840133,807106,-1,-1,-1,-1,-1,779057,543934,-1,-1,359236,-1,-1,-1,216455,-1,189787,-1,103120,-1,-1,239328,65595,-1,-1,164457,823879,690875,-1,-1,480552,414395,-1,648922,632767,-1,313132,193152,-1,406789,478016,889011,-1,777871,286345,146488,-1,259965,-1,662281,114672,692427,-1,-1,-1,517747,527080,-1,-1,927594,-1,-1,544015,-1,772947,-1,-1,830348,487922,-1,899505,-1,-1,579487,911327,-1,784809,812832,432331,892204,-1,-1,287161,51485,-1,-1,689272,627903,978325,-1,876752,-1,544648,-1,170586,717534,549926,-1,483126,-1,-1,-1,212564,713171,555162,-1,-1,-1,-1,-1,127398,386689,543249,-1,246341,718230,-1,651013,-1,362125,614223,140960,411052,-1,119196,-1,-1,575404,-1,-1,-1,-1,-1,289335,-1,-1,184464,-1,377235,-1,262010,-1,-1,686804,-1,-1,-1,143249,-1,-1,-1,-1,350117,632174,198139,-1,-1,231903,203674,18566,-1,-1,-1,-1,942258,799144,-1,-1,481042,562008,-1,-1,472842,917820,303625,-1,-1,101962,297399,609421,-1,-1,341532,-1,-1,139188,-1,766541,-1,756415,-1,-1,836789,-1,-1,775136,-1,-1,638148,945634,622196,-1,-1,965422,-1,711595,27748,-1,388513,424517,-1,-1,883098,698620,-1,666215,-1,520022,-1,-1,731213,-1,297142,85577,-1,-1,101263,-1,-1,983973,-1,520476,847201,-1,-1,-1,-1,614875,-1,-1,83065,-1,-1,970083,963303,-1,614274,-1,930914,-1,749407,-1,373321,211282,-1,-1,236769,-1,-1,-1,-1,710398,-1,-1,-1,-1,-1,-1,190737,-1,715819,-1,457400,184113,-1,436596,55391,-1,-1,644786,793733,599522,-1,-1,125706,-1,390895,-1,194232,-1,878943,-1,-1,-1,660768,-1,295674,-1,-1,644186,558873,46291,612775,216816,-1,784054,585064,-1,-1,-1,-1,830511,-1,257186,245579,-1,218283,293224,-1,138393,135286,213394,-1,121208,-1,69007,343708,422751,-1,190509,-1,777571,71765,-1,-1,-1,591988,-1,938800,-1,250492,969567,943920,625431,-1,-1,480200,724092,425951,40265,157575,118891,-1,-1,620287,810347,637164,-1,-1,409115,-1,324454,881406,-1,-1,362311,-1,291356,838078,832651,744460,312229,-1,-1,72757,-1,153586,601395,739356,373931,-1,863816,69115,-1,-1,68347,354587,-1,801809,-1,-1,-1,-1,-1,903167,-1,478690,723072,221551,-1,294697,360926,29760,-1,-1,33529,399153,-1,503325,223796,-1,989799,-1,551890,-1,-1,-1,-1,-1,529047,-1,-1,287502,161604,980572,383808,295145,-1,394003,-1,-1,-1,702008,238914,623088,-1,278088,-1,418354,5145,-1,-1,-1,338696,902313,-1,106461,-1,-1,-1,-1,480637,-1,-1,-1,-1,976888,352679,338522,-1,152497,-1,-1,-1,-1,786258,110983,-1,933794,420954,-1,486103,-1,512390,168998,-1,372158,-1,187824,-1,52472,-1,-1,982242,521630,-1,-1,241979,392260,-1,-1,-1,864979,472159,618821,55269,460350,759184,527871,-1,854279,837825,416614,530099,-1,-1,-1,-1,-1,741827,346526,480986,533355,-1,123355,663474,198208,-1,855810,591518,-1,-1,-1,556647,193156,-1,-1,64984,-1,-1,409114,303266,905011,881067,119354,210954,803996,-1,-1,-1,-1,-1,694620,-1,-1,-1,-1,-1,-1,-1,-1,120680,696109,-1,-1,346899,364802,995750,431156,13345,423644,10410,111406,-1,-1,-1,-1,828953,339844,165201,504061,-1,-1,331197,-1,-1,-1,399334,-1,-1,-1,727491,-1,519121,-1,907046,-1,-1,234081,826680,861239,-1,173803,912833,-1,-1,-1,-1,-1,-1,-1,-1,210386,759405,977359,-1,648326,-1,971564,967933,414586,-1,-1,-1,33825,-1,-1,-1,-1,-1,133256,-1,-1,587816,374506,105671,186958,-1,-1,529323,943757,-1,40838,567097,-1,86700,714965,-1,216291,543851,-1,-1,-1,742436,-1,-1,-1,849973,-1,385411,-1,961041,119539,172575,138956,-1,265819,-1,24484,589125,-1,-1,-1,-1,461791,-1,177142,670491,597529,289397,-1,865530,-1,-1,-1,305368,972349,462378,-1,975215,711064,513857,951872,-1,306408,617656,-1,-1,-1,-1,-1,-1,166939,916765,-1,351261,28563,135142,498136,-1,-1,215267,851911,226877,-1,99793,220302,-1,322008,-1,-1,-1,305350,214873,-1,-1,-1,193341,-1,465224,-1,55824,218482,832643,-1,-1,395322,113519,-1,864683,-1,977723,746725,-1,865239,-1,911179,-1,-1,973973,-1,-1,-1,211998,143366,-1,-1,-1,-1,-1,-1,788646,-1,559183,-1,-1,-1,-1,-1,-1,-1,371146,377578,-1,-1,52363,605866,-1,483321,615491,52890,318277,-1,154138,838192,386497,-1,-1,-1,339214,279770,-1,-1,-1,430945,611405,-1,170768,424936,348856,-1,350010,-1,654725,441875,-1,170843,513842,617440,629459,423929,-1,473121,173534,-1,684959,497409,465197,193251,-1,-1,45393,-1,60202,796869,449763,-1,-1,818693,-1,-1,-1,233,-1,-1,-1,523570,937455,782854,-1,-1,54517,904904,301205,-1,-1,-1,284473,777126,17848,-1,240745,-1,830314,-1,11228,-1,203594,616280,-1,-1,376514,555556,454212,-1,-1,6181,348565,-1,-1,387900,-1,607587,464758,524654,848633,-1,781121,663724,435445,-1,853963,-1,12796,-1,184366,-1,-1,-1,241137,41860,-1,-1,991920,378749,-1,7149,-1,-1,-1,367134,-1,-1,236787,741321,-1,-1,219881,30407,727961,386788,-1,-1,119697,-1,938960,377589,627354,-1,120958,847021,306549,-1,-1,-1,-1,75344,521334,615112,891468,-1,-1,-1,540514,900333,55385,-1,-1,163884,236568,672308,451878,-1,-1,221459,945814,-1,701243,-1,-1,-1,871047,-1,-1,407265,-1,-1,453586,3514,740817,883335,637606,-1,-1,819473,632570,-1,-1,-1,-1,225039,792083,-1,-1,480352,288365,557205,284349,-1,-1,-1,62901,-1,-1,155882,87721,-1,-1,181035,-1,-1,692135,-1,670193,-1,513815,-1,-1,-1,-1,-1,382761,-1,-1,842480,708186,-1,736736,-1,641900,490090,-1,-1,295382,874831,893742,-1,-1,282455,349220,-1,-1,-1,-1,368748,279004,-1,370710,-1,-1,-1,-1,330576,-1,-1,741557,134066,802952,121496,45475,39303,-1,-1,702554,95,670303,-1,952018,455961,-1,-1,-1,-1,-1,719514,-1,-1,35914,948062,-1,527413,-1,-1,-1,702471,-1,-1,21539,-1,288685,-1,146696,-1,845754,-1,28791,-1,-1,-1,-1,-1,450253,-1,35955,-1,-1,603435,8365,-1,-1,-1,182927,-1,838010,727351,-1,-1,-1,536277,725740,527121,-1,-1,946233,-1,-1,879471,-1,325678,-1,-1,866417,-1,-1,-1,535261,-1,-1,486859,647172,-1,-1,564701,-1,-1,217988,-1,-1,125133,67241,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,293015,622283,-1,-1,-1,206337,390731,166242,168197,745752,-1,-1,-1,-1,-1,684079,-1,636434,-1,-1,-1,292003,387916,151199,823208,-1,340972,180983,694568,-1,24217,-1,304842,417167,818900,675474,-1,-1,385541,711615,-1,-1,-1,927582,-1,-1,912491,-1,-1,-1,-1,-1,-1,558889,-1,-1,908632,48843,-1,-1,597671,-1,17314,-1,427262,-1,-1,-1,-1,696331,818122,913760,-1,633881,-1,-1,221739,172290,712210,-1,411767,-1,-1,-1,-1,-1,-1,873375,630712,-1,963783,342895,-1,392011,937624,142350,-1,728064,-1,629147,-1,985769,145673,441549,-1,-1,-1,217730,-1,840755,-1,-1,495544,-1,-1,922472,530688,915298,329452,-1,-1,-1,83128,716813,-1,-1,859895,482348,375470,-1,-1,347855,57210,882635,-1,858183,-1,171044,639534,240170,725118,831890,-1,-1,263421,637032,532102,-1,-1,765583,-1,536599,303909,583530,-1,-1,829064,-1,-1,-1,-1,768649,879850,785696,3769,-1,891551,444349,956505,71084,-1,-1,-1,778795,230770,-1,-1,-1,-1,-1,-1,807589,73261,-1,580404,219133,-1,-1,-1,-1,509971,-1,-1,517156,-1,221274,118880,-1,569856,138410,366948,440463,296480,761769,-1,800270,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,244066,992999,-1,-1,876465,-1,-1,753290,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,439510,-1,685092,788208,-1,792511,287842,995538,626089,-1,771932,-1,747477,-1,-1,75735,145170,-1,-1,595263,179819,-1,-1,717523,-1,767807,-1,889093,-1,641976,163162,31610,968076,66568,476357,293049,-1,-1,825947,47210,576932,29015,240188,166321,-1,-1,403894,-1,498908,-1,-1,531546,995461,699487,-1,718112,276224,907156,-1,610909,168550,668336,-1,877861,6625,-1,602237,931143,-1,243942,-1,212368,850170,-1,-1,600927,911349,480428,-1,-1,675060,567321,-1,248717,741447,930777,241820,503403,-1,-1,225187,594502,-1,-1,342718,-1,-1,742004,282826,-1,-1,-1,-1,30474,-1,-1,-1,-1,536282,138354,639368,767455,33893,29600,730103,606278,782421,562890,-1,880066,753767,662921,99014,292908,-1,417089,744151,376151,-1,507083,627128,151742,711426,-1,156546,38846,524543,-1,-1,-1,-1,25127,97663,-1,-1,311910,-1,-1,301993,-1,172583,668494,-1,50013,-1,-1,394861,646056,464231,786175,-1,-1,163514,-1,-1,740548,888383,-1,944753,935672,-1,-1,-1,749860,551550,58282,-1,-1,762375,-1,821633,9105,340637,-1,57197,-1,-1,-1,-1,-1,-1,914152,-1,-1,408293,-1,-1,829773,-1,-1,350964,865734,143831,417759,-1,923735,641718,806635,622555,991902,-1,-1,-1,-1,989597,-1,19523,24244,-1,806684,-1,-1,676373,948844,-1,353111,-1,-1,378434,-1,833737,-1,707520,-1,-1,-1,290449,-1,885825,-1,179949,-1,283836,-1,-1,-1,415468,658574,-1,117444,-1,981781,-1,-1,-1,-1,856924,-1,657547,-1,-1,-1,-1,-1,-1,723651,928901,763329,572729,-1,-1,-1,207003,540927,523498,516468,-1,-1,-1,485530,225943,432496,-1,645454,-1,357576,670829,-1,782859,89398,-1,-1,423876,-1,177034,92723,-1,487923,838048,767440,-1,-1,-1,682989,-1,-1,82901,905769,287592,145792,672368,619278,-1,-1,-1,605578,-1,-1,-1,-1,-1,-1,-1,-1,634875,-1,-1,-1,658101,-1,301355,-1,199557,-1,389367,41871,-1,497265,393762,92876,592276,247456,-1,-1,-1,462032,376108,-1,235183,320276,11270,-1,-1,331015,-1,-1,-1,707958,-1,-1,697225,450248,244210,843239,-1,-1,-1,-1,754265,193454,-1,764912,-1,-1,318600,692826,-1,-1,-1,-1,683851,-1,-1,767921,-1,229836,583645,676551,-1,-1,622394,-1,-1,-1,231605,-1,-1,-1,-1,-1,80987,464277,-1,-1,598082,561051,335815,450917,803039,-1,53166,-1,706769,139914,561678,-1,115291,38488,-1,747001,-1,459706,-1,-1,758220,-1,-1,-1,800438,442768,-1,-1,246331,129080,-1,-1,218062,904588,346614,424750,14343,-1,442250,-1,87988,-1,-1,148225,-1,724085,-1,-1,-1,-1,10525,-1,-1,567280,736350,338970,730330,-1,19819,-1,196840,371290,536973,-1,445072,-1,-1,-1,101567,-1,891060,392579,-1,476702,-1,-1,-1,242344,-1,-1,510845,232474,-1,-1,455689,870781,-1,-1,-1,-1,-1,-1,818259,-1,334917,-1,-1,-1,-1,-1,-1,630058,-1,293932,257346,1650,-1,239376,481016,736353,503292,880126,642491,-1,-1,75603,797239,682715,-1,-1,500571,222033,-1,505892,-1,-1,-1,-1,980475,-1,-1,821009,483639,-1,346790,78296,322019,-1,-1,452304,826790,-1,734849,729700,479331,455596,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,559026,699985,548075,968349,398421,79997,-1,946010,-1,-1,-1,-1,436090,-1,527754,-1,-1,-1,-1,-1,-1,675852,610126,-1,-1,256585,103895,735545,873539,820991,152106,-1,-1,799270,710976,234001,-1,-1,-1,-1,856632,118528,315512,-1,-1,270085,-1,113477,-1,718030,445953,470616,912094,538117,-1,-1,-1,-1,610077,-1,-1,528015,228734,-1,823635,396025,461284,-1,-1,-1,-1,-1,-1,415749,-1,-1,-1,963364,783736,-1,-1,299935,-1,-1,-1,-1,-1,975279,914841,651741,-1,889714,880176,-1,781805,-1,-1,-1,-1,314137,-1,-1,-1,-1,16009,-1,-1,342497,402146,138441,420140,-1,-1,66523,707985,-1,303949,364013,188571,306478,150601,617037,-1,-1,-1,-1,-1,-1,236217,979696,146394,-1,174052,741123,-1,-1,-1,408489,715985,-1,977193,702659,184784,-1,-1,-1,-1,818513,-1,-1,115283,104899,-1,620811,-1,-1,-1,-1,441423,767020,606933,-1,596839,-1,-1,-1,541638,984363,-1,-1,26014,28651,907375,-1,247955,-1,-1,896982,151766,-1,853211,828474,13369,54291,-1,-1,-1,-1,-1,629515,332250,817329,-1,-1,993485,-1,259545,743794,-1,185243,853604,-1,-1,580933,-1,-1,47051,-1,-1,-1,-1,-1,-1,632690,897203,373001,-1,786679,-1,46948,942990,-1,-1,308904,960888,522823,368572,-1,-1,729979,-1,-1,199446,104930,226640,-1,-1,902883,352056,361722,904959,46817,-1,931424,-1,753085,32451,-1,-1,901670,838966,309024,-1,905655,527717,-1,-1,282097,-1,-1,768169,-1,641702,899016,-1,-1,-1,776765,2537,-1,-1,-1,487170,-1,603163,48081,852461,358630,643335,-1,-1,-1,-1,467109,849624,-1,340060,934914,-1,152271,-1,-1,-1,-1,171245,377702,312363,-1,-1,-1,-1,-1,183904,334676,-1,-1,313447,-1,320377,-1,-1,-1,142841,-1,559899,745390,-1,72578,-1,-1,640014,-1,61554,-1,-1,820440,-1,695811,986191,692594,-1,924056,-1,-1,737925,211211,-1,998657,767741,-1,316082,421952,-1,34831,-1,824473,335062,836321,-1,824422,-1,-1,534331,811665,-1,-1,-1,-1,526839,-1,511893,214627,-1,426494,-1,820915,358735,278689,529111,-1,759831,-1,-1,955687,89510,679582,909413,-1,196890,95613,562841,-1,937316,-1,-1,-1,-1,-1,618787,-1,692902,250878,844139,-1,163306,-1,-1,-1,20567,-1,-1,590525,178705,-1,182824,538568,860754,172609,598761,-1,-1,-1,-1,936126,436309,-1,291338,802090,-1,161291,-1,293329,-1,-1,120500,-1,-1,-1,-1,-1,-1,-1,340412,545719,806701,-1,-1,53899,711645,-1,-1,-1,136043,99411,606365,126263,356619,606931,302527,-1,622934,-1,246644,-1,-1,428268,686147,-1,207190,162909,-1,-1,-1,-1,271171,125550,397342,-1,374005,-1,-1,-1,286330,177950,259532,-1,-1,-1,564300,-1,-1,-1,-1,639088,415906,335249,-1,674332,-1,-1,800043,-1,837969,-1,-1,533511,-1,-1,-1,179556,-1,-1,425554,163624,-1,-1,48662,-1,520875,23270,-1,-1,-1,670372,373492,-1,-1,818854,-1,487441,144825,812301,904645,420819,-1,62944,-1,-1,-1,573717,119576,341699,707952,339994,491435,819594,114384,-1,423348,-1,-1,-1,827587,639605,732133,22151,95733,-1,-1,-1,-1,-1,-1,-1,-1,294978,-1,-1,56932,-1,-1,-1,-1,-1,-1,-1,543791,-1,54374,538066,687891,-1,618287,474230,-1,539049,991836,-1,-1,-1,-1,376819,-1,615943,785221,-1,-1,-1,-1,715875,-1,-1,-1,-1,-1,741367,376700,927464,-1,984703,284793,597980,-1,-1,-1,841583,859248,349285,237554,-1,312562,-1,-1,-1,947683,-1,698317,-1,84990,-1,649032,154241,326634,113144,866717,622343,-1,-1,120551,-1,191498,932291,396796,-1,-1,555474,349631,638419,910480,-1,-1,889577,-1,128918,-1,-1,409481,-1,-1,70128,-1,-1,-1,92736,512209,-1,-1,937811,518998,705252,433843,216310,-1,-1,-1,-1,-1,533889,213621,-1,-1,462530,-1,927079,150496,27135,-1,783291,-1,307613,414022,515650,894391,-1,-1,-1,961300,-1,395557,-1,462255,-1,-1,-1,-1,110038,-1,520203,897306,275295,865086,364142,538542,188100,-1,-1,766856,887552,728044,833223,-1,328591,954296,-1,207745,593034,-1,418272,925101,781710,-1,-1,-1,355369,-1,273401,-1,-1,750034,-1,-1,177439,582908,-1,326706,859182,-1,603654,971208,23048,86917,-1,-1,94075,-1,580877,857890,-1,532361,-1,-1,-1,815278,-1,590101,818250,-1,-1,917092,-1,481908,651358,-1,-1,-1,-1,-1,890402,-1,-1,-1,-1,-1,-1,211429,554412,-1,428414,264524,63670,313219,-1,-1,-1,981064,157418,-1,-1,236771,630071,968774,-1,-1,65400,-1,921629,-1,-1,-1,425298,492104,315244,-1,-1,507921,-1,427654,-1,238298,-1,-1,-1,863760,772346,931888,757300,977978,-1,808164,-1,-1,-1,-1,-1,-1,187313,310137,231310,655549,-1,-1,-1,-1,-1,803264,41162,-1,816751,-1,-1,238738,702185,-1,-1,-1,-1,-1,594417,-1,16247,304087,814982,509869,848519,-1,45289,-1,981495,490378,-1,-1,769851,-1,425520,-1,573185,192522,513062,847210,-1,839057,114510,-1,-1,130102,-1,844006,-1,-1,-1,384900,651795,-1,636768,452263,110966,939394,516024,829428,849257,520060,509751,-1,-1,456745,-1,41971,134580,-1,-1,693354,-1,419016,874132,559843,67569,-1,884229,439284,-1,-1,51989,496234,124954,628877,-1,791621,482568,-1,-1,810658,474070,957327,285889,823647,462811,-1,269693,389941,520573,-1,-1,-1,-1,862948,727502,-1,-1,584777,488066,5731,878399,-1,313942,-1,-1,511314,746971,-1,913635,-1,265145,797884,-1,-1,263506,417969,661771,-1,-1,754126,-1,-1,533151,-1,948884,-1,967952,-1,-1,605085,-1,655324,-1,-1,-1,-1,774643,-1,-1,-1,793701,809135,67406,-1,-1,288019,959728,-1,-1,-1,-1,94442,368674,79085,724247,-1,-1,-1,-1,-1,767831,-1,310699,678075,483891,-1,-1,202735,620103,-1,615633,121845,-1,-1,-1,-1,-1,126434,-1,-1,-1,-1,212597,311810,708392,128201,-1,574636,810307,-1,-1,257456,93575,-1,955509,749048,-1,322172,-1,-1,791768,-1,131529,501148,-1,712201,-1,391062,-1,349080,-1,167759,764344,-1,586366,273968,-1,812010,-1,93212,-1,397649,82308,-1,-1,228880,468636,-1,584516,727723,487762,146761,504414,-1,-1,-1,-1,-1,370212,-1,-1,-1,-1,392779,-1,930446,159332,-1,-1,-1,550369,105613,-1,-1,612667,998970,329936,551769,714888,530010,-1,-1,-1,-1,-1,675429,882751,-1,895113,372206,-1,-1,98822,-1,-1,-1,275328,-1,859752,-1,-1,-1,492488,350316,-1,-1,-1,214226,-1,673701,-1,166188,483838,-1,-1,-1,514754,483063,-1,-1,465519,-1,-1,-1,-1,-1,-1,-1,59576,694232,-1,-1,923912,746164,-1,-1,-1,-1,673828,786119,322021,465592,-1,-1,-1,191867,236346,624363,-1,831695,952564,880724,885239,-1,-1,-1,-1,-1,-1,-1,878646,-1,978783,-1,-1,392883,-1,-1,692646,840750,-1,29804,-1,297608,-1,444572,894548,169223,-1,934939,385499,878094,899107,961948,-1,-1,-1,-1,677912,-1,-1,152671,-1,216652,236845,-1,-1,970709,410525,597945,-1,832151,47318,-1,976412,-1,-1,705,-1,-1,-1,-1,578618,-1,667329,333698,-1,-1,-1,128508,87849,924011,-1,376898,-1,492981,-1,-1,-1,-1,484858,-1,514941,-1,-1,-1,335767,160385,946330,-1,225428,-1,-1,281100,-1,-1,-1,270133,270724,718905,-1,102926,866059,-1,-1,591617,-1,-1,-1,-1,150435,805507,-1,-1,941922,244478,361609,9747,-1,130592,-1,-1,556635,-1,-1,-1,-1,-1,-1,128560,-1,954479,396020,845482,570656,-1,-1,749769,905719,899425,-1,456033,791650,-1,-1,-1,646305,485890,262332,146654,986359,448925,148814,-1,-1,-1,812851,-1,241161,-1,44185,-1,-1,290267,-1,41848,-1,-1,-1,791752,567758,712643,-1,-1,-1,235326,-1,243428,422048,270454,-1,513552,-1,-1,-1,-1,872106,-1,795458,215622,-1,976478,-1,952615,-1,510822,-1,12344,757685,-1,-1,-1,97008,-1,-1,-1,-1,-1,606209,-1,-1,859694,167694,-1,-1,424325,963185,690203,515016,888242,-1,-1,-1,14334,-1,285505,-1,-1,-1,456533,-1,-1,792148,948988,-1,208930,794560,-1,-1,-1,671072,421214,-1,892326,-1,-1,175458,-1,-1,-1,255186,157497,-1,30295,-1,440550,-1,952641,193070,623532,444955,143903,678986,594181,-1,-1,-1,843091,-1,445679,-1,-1,581014,-1,-1,510849,-1,330127,350732,-1,896623,-1,67407,-1,592804,337566,-1,-1,119624,722214,-1,644609,-1,-1,533684,154824,-1,-1,-1,-1,418790,-1,-1,436070,-1,-1,-1,422250,827755,596283,662106,-1,-1,361059,-1,429362,-1,509349,-1,-1,344504,-1,557758,-1,311876,-1,-1,-1,-1,792452,562511,186459,-1,-1,583788,-1,-1,172863,618204,-1,-1,-1,-1,837252,-1,57945,-1,-1,-1,-1,-1,868295,-1,-1,-1,512230,281072,309454,68210,433525,-1,455159,838392,-1,-1,-1,872449,364362,-1,-1,659659,-1,-1,763044,-1,-1,880800,-1,-1,714599,-1,-1,891330,384800,-1,-1,-1,-1,259192,-1,143590,818340,-1,567292,816613,-1,646101,-1,-1,-1,500022,549715,-1,-1,660985,572012,-1,680729,181256,58040,-1,-1,-1,-1,120651,-1,999946,69185,353796,-1,172030,-1,393234,373027,790390,-1,835897,762037,-1,726873,-1,661997,-1,193871,479420,-1,-1,878047,500158,-1,933075,280076,109390,-1,771943,-1,-1,895531,-1,-1,181115,706057,-1,-1,384054,-1,-1,-1,-1,-1,474346,-1,-1,117697,-1,-1,485502,-1,70719,-1,-1,806017,-1,-1,531980,955675,-1,-1,-1,-1,398812,91325,775401,-1,16779,-1,70830,-1,-1,-1,505989,-1,-1,-1,268889,-1,-1,-1,77128,190281,-1,52498,573082,630238,282274,-1,-1,-1,-1,-1,531582,-1,442195,380816,968087,-1,-1,163013,760397,-1,640781,-1,-1,-1,-1,360959,790854,-1,824570,209061,341999,275675,423751,111390,898932,-1,805600,65065,859706,-1,-1,-1,-1,-1,13107,-1,624070,706280,-1,186572,512325,796085,-1,420278,-1,-1,-1,622715,-1,402775,569387,-1,805430,478480,-1,-1,554560,873520,537194,-1,549673,-1,984544,10453,-1,-1,479887,-1,781491,254283,-1,452655,-1,908849,-1,-1,692531,-1,772597,-1,-1,-1,977305,881063,-1,-1,-1,-1,211473,540781,-1,-1,404053,57394,904092,31430,358506,-1,319029,-1,187622,-1,216784,655932,-1,-1,57513,733523,941175,-1,-1,-1,-1,285962,-1,-1,-1,720385,-1,-1,-1,223409,-1,659802,75138,-1,250503,483793,-1,-1,-1,563012,-1,-1,-1,930491,-1,-1,-1,93253,831575,91238,-1,928718,-1,-1,314395,-1,-1,-1,-1,-1,-1,87636,20974,500973,-1,-1,95123,-1,-1,98210,583572,444651,625818,-1,537152,92864,766213,-1,556983,-1,-1,201092,-1,122242,901431,-1,-1,-1,61653,534601,-1,926610,-1,434659,618874,795786,-1,337100,-1,869869,9454,-1,840331,-1,189288,227867,-1,-1,638625,615099,-1,486526,-1,591608,-1,99001,-1,783937,627958,212745,320800,994787,-1,589387,-1,-1,85288,889099,-1,678714,782040,-1,822965,-1,785890,601900,-1,628655,767607,-1,-1,10936,880190,562518,14196,365613,-1,-1,678824,658173,-1,448512,-1,-1,820123,398419,-1,-1,-1,759560,877202,-1,-1,-1,63290,-1,-1,427873,752962,-1,943843,919161,-1,65216,-1,-1,-1,-1,-1,129144,681481,463273,671424,202870,-1,206621,128102,232721,144095,-1,744221,-1,723997,635081,-1,-1,-1,-1,294796,904688,188888,-1,401025,-1,-1,395099,-1,29580,787531,-1,-1,977,-1,-1,686951,-1,-1,886632,-1,-1,-1,910195,158228,-1,696915,120427,473698,74919,369692,197920,764502,384374,984986,-1,-1,-1,-1,-1,-1,923218,772239,-1,-1,19073,173760,-1,412850,-1,554442,-1,-1,878486,-1,232320,-1,-1,-1,239198,122830,541050,452806,461949,-1,969674,-1,461362,-1,-1,-1,-1,-1,862542,-1,-1,-1,690307,116245,-1,-1,499692,-1,877310,-1,808448,-1,99739,-1,-1,976061,850181,754859,-1,947004,398521,883050,956236,229789,-1,584627,-1,284324,960969,-1,819621,-1,-1,-1,-1,111174,120323,-1,174085,997614,-1,-1,732258,-1,713945,-1,231803,319991,900368,424662,-1,118889,-1,-1,-1,43550,809284,-1,941373,-1,-1,-1,589070,-1,-1,939931,537921,-1,-1,-1,114603,752383,203208,-1,-1,714018,477247,20826,563156,-1,298157,441981,-1,967856,485367,-1,567042,222277,-1,693017,585446,-1,273678,-1,960552,211065,878656,163958,797244,385742,-1,310456,288653,-1,772263,330112,-1,-1,-1,-1,654028,733098,999953,-1,-1,80279,-1,-1,318513,-1,888076,368831,-1,731443,-1,404800,-1,-1,-1,-1,967288,658936,232255,326360,870408,-1,400091,29392,932202,926738,9020,781368,953150,-1,187494,137141,63199,701470,600208,-1,-1,-1,-1,543077,600357,-1,-1,-1,-1,-1,-1,199793,-1,-1,-1,-1,-1,870897,-1,357534,717788,995898,964085,217514,406399,-1,-1,896429,-1,-1,-1,-1,-1,-1,-1,340171,144259,-1,887577,-1,-1,129773,181953,-1,122300,-1,921796,-1,-1,131745,-1,-1,40329,917384,190439,-1,960273,-1,-1,620639,908587,238997,545652,225221,266619,1243,-1,-1,1451,43659,939213,152363,-1,-1,-1,-1,-1,-1,461390,-1,-1,518788,-1,-1,700485,-1,-1,-1,77265,331504,517139,876241,-1,-1,-1,579278,-1,156936,-1,-1,-1,-1,-1,-1,-1,-1,-1,389318,-1,40482,-1,670437,-1,874793,-1,-1,816686,-1,613288,-1,-1,409229,-1,-1,348568,-1,91562,994276,-1,-1,-1,-1,-1,596189,-1,748789,808288,71436,962085,-1,-1,788426,361416,276855,-1,-1,-1,63474,-1,338530,-1,-1,-1,514241,636011,-1,151823,-1,699366,706868,-1,-1,-1,259235,423321,-1,-1,663437,-1,390188,-1,-1,608519,866598,599576,928758,-1,242431,923393,-1,-1,-1,-1,813931,-1,-1,559011,686637,315860,543348,426792,852830,779530,-1,-1,-1,-1,940762,-1,501707,715805,238040,-1,164801,786477,449729,387057,946419,862413,980122,830176,-1,558598,-1,891516,695034,465477,810914,272937,388898,-1,918880,516805,833042,293476,-1,911494,-1,729579,297810,341858,518463,904094,392872,-1,-1,-1,470487,573402,-1,-1,-1,-1,-1,508545,-1,636081,-1,591090,-1,-1,-1,60672,725415,677942,-1,716010,-1,-1,30191,-1,109695,413906,561482,838296,-1,752394,609026,111335,141399,-1,-1,845676,-1,454546,-1,-1,715642,889258,-1,-1,-1,-1,-1,-1,588346,412506,399071,905553,-1,799233,-1,489030,630820,492636,-1,26940,475929,-1,-1,119025,74048,983396,996628,71471,175265,-1,56403,-1,493175,658170,162955,-1,-1,-1,642674,202829,-1,949419,-1,76918,579791,471692,-1,451263,776125,937371,-1,-1,-1,-1,751138,-1,902200,-1,897338,1272,536149,656338,413675,-1,9927,543179,789473,-1,-1,397121,740534,-1,-1,-1,-1,-1,-1,285476,296154,198894,456665,990167,346905,509459,-1,822071,-1,-1,643333,676016,573571,-1,291943,-1,-1,589799,-1,-1,-1,41280,-1,-1,69392,-1,-1,-1,-1,76337,-1,-1,747201,541472,853446,577866,-1,860418,-1,-1,-1,-1,449345,-1,768431,349640,988762,-1,-1,-1,-1,-1,-1,984272,597216,-1,854255,995834,-1,974282,867453,278276,417948,442176,85184,786088,611176,-1,296160,-1,-1,-1,916667,803858,856592,-1,598063,-1,392472,659036,-1,-1,-1,-1,540187,-1,961756,-1,6258,-1,961218,-1,973388,954643,-1,-1,-1,6954,-1,-1,-1,772665,980630,-1,849850,-1,-1,932209,37909,-1,-1,-1,184831,787184,566749,41340,-1,-1,907530,667664,587421,186833,-1,-1,-1,860591,-1,664236,571752,-1,785489,-1,137507,-1,-1,-1,128674,-1,347412,-1,778167,-1,585578,307011,922693,-1,608068,-1,415727,832210,612395,-1,103498,992188,-1,607284,-1,-1,-1,891586,-1,919893,-1,6045,-1,17386,106078,927342,-1,252241,454911,-1,-1,656225,-1,316197,542973,-1,-1,689755,235429,-1,-1,-1,415240,97160,267444,554116,-1,114534,-1,527479,822328,-1,-1,92044,-1,223193,-1,301747,-1,52818,-1,349121,116037,-1,329880,928843,217933,-1,-1,698097,343864,-1,563859,-1,771127,-1,641261,-1,70266,399780,435160,-1,22382,319684,883473,835627,253640,18311,894269,-1,237425,67856,441113,-1,717900,499236,-1,945810,-1,-1,-1,-1,683381,-1,-1,-1,884273,-1,-1,-1,-1,297620,-1,523883,-1,950376,860448,-1,636440,176362,-1,657295,-1,369246,-1,131025,742390,-1,-1,400235,-1,292546,514950,82052,135934,-1,267164,-1,-1,-1,934475,884610,34463,509224,-1,-1,-1,553562,-1,168254,-1,-1,-1,-1,202044,-1,-1,-1,469979,532234,-1,-1,-1,327431,-1,-1,550806,638049,-1,-1,-1,184657,-1,41943,343807,4399,-1,665370,-1,576699,-1,-1,795407,601102,826000,-1,-1,88772,795050,-1,714680,830602,97926,-1,200484,-1,-1,-1,-1,588047,-1,504612,659942,417911,623559,846524,544292,72129,989657,375164,-1,843064,788789,-1,-1,556211,532154,976834,369475,-1,579512,-1,618616,50781,706550,843991,611110,489048,470349,-1,-1,-1,11430,-1,763264,112595,-1,623950,-1,874428,327508,-1,735123,549437,-1,3133,209420,180421,10432,-1,504534,-1,-1,-1,-1,90875,816468,835416,715639,842604,128133,652841,-1,356383,255584,413655,-1,216663,-1,-1,-1,216252,739652,554023,228743,658548,-1,-1,606073,-1,693109,-1,-1,353514,-1,602468,787491,428501,-1,-1,-1,-1,326427,429878,-1,-1,-1,-1,921833,353373,561111,-1,77253,-1,-1,294166,-1,232352,804117,-1,-1,5868,-1,-1,-1,-1,-1,426466,994540,818196,380644,-1,259057,-1,990158,-1,-1,101296,598453,-1,616981,819291,-1,559185,655795,883303,-1,784034,-1,-1,512005,783091,915815,-1,-1,802495,685388,876573,-1,211581,785577,628051,-1,-1,-1,121473,-1,528553,-1,625522,-1,-1,-1,-1,-1,-1,-1,987460,-1,34908,918726,228182,555748,-1,-1,-1,711738,-1,-1,-1,-1,-1,699006,-1,-1,-1,-1,155998,-1,436972,867619,-1,-1,72356,773127,790947,-1,368160,-1,-1,-1,-1,-1,986069,332252,589526,768734,-1,604647,489329,699998,664209,-1,-1,129016,-1,-1,682956,97960,785811,-1,-1,-1,990408,843587,958679,475872,-1,-1,750026,237102,-1,424019,-1,-1,37377,-1,-1,792306,903659,186279,147464,-1,444197,-1,-1,-1,-1,423925,12650,-1,805934,950350,457721,-1,-1,-1,249944,642091,-1,209138,292054,517876,253873,896956,161181,530551,-1,590371,426985,-1,101699,-1,323347,533716,-1,148143,-1,431472,315884,310576,-1,917144,-1,-1,987579,-1,-1,147845,841116,833649,113101,349476,-1,962497,420931,522706,-1,-1,-1,265764,-1,201321,-1,473120,650162,-1,866466,-1,271678,-1,-1,556346,177604,-1,69876,-1,30590,-1,-1,163256,656303,674771,14305,116480,-1,-1,-1,521641,366435,-1,-1,659947,910998,705247,156163,235223,11340,-1,-1,504560,246868,-1,-1,921607,421695,233707,-1,418064,752832,729035,561688,-1,-1,949676,-1,-1,-1,-1,617875,-1,-1,986709,747129,-1,-1,22494,688935,-1,-1,-1,819396,-1,-1,-1,-1,791383,-1,126621,-1,579176,132722,-1,-1,46972,-1,639600,-1,-1,890956,-1,620222,-1,378316,34817,-1,-1,963983,-1,706934,233916,746097,338796,-1,877510,-1,-1,484104,936629,298841,669273,-1,-1,-1,-1,7748,724208,-1,-1,954881,648780,-1,-1,381105,825996,835428,-1,254494,-1,-1,653894,-1,-1,-1,-1,443237,-1,-1,294117,-1,889591,985648,563158,23337,70060,553900,-1,696123,214421,365847,-1,-1,-1,108973,814145,736979,148217,466284,230005,-1,204792,-1,-1,140568,-1,595182,918259,-1,660073,-1,-1,-1,-1,527016,-1,-1,-1,-1,382618,137371,677939,802540,998550,215917,-1,757185,-1,-1,-1,663957,940082,44428,-1,308309,223297,653080,-1,604852,-1,109049,-1,30348,176020,57958,370472,-1,-1,976575,-1,-1,390548,770392,748571,550478,-1,-1,17720,-1,310745,-1,674320,390967,-1,957798,674201,103585,496085,675142,-1,238953,778192,140737,-1,-1,-1,829688,-1,587209,-1,-1,-1,476005,647024,780779,799654,323464,-1,489714,776173,799103,-1,337965,48895,-1,737656,636548,-1,830716,-1,-1,-1,-1,318470,890587,-1,-1,248034,-1,394179,-1,19823,482732,-1,258095,422186,-1,142921,345037,179616,-1,579102,737357,-1,-1,53931,918943,-1,-1,718906,819482,505887,-1,267585,905957,711188,826180,-1,-1,-1,-1,-1,-1,-1,101771,-1,318819,-1,73812,-1,-1,342780,-1,-1,-1,-1,-1,-1,677581,-1,-1,565745,890155,-1,-1,178031,-1,-1,-1,-1,-1,679824,-1,805052,-1,-1,97746,79443,924406,896168,-1,-1,164747,520103,561347,295989,633751,-1,621262,-1,838863,472136,453462,-1,-1,-1,629525,545255,478786,-1,685224,-1,562567,-1,697949,675920,801498,711416,-1,61000,-1,-1,262175,40501,429048,761472,-1,-1,100253,723091,263742,-1,-1,679016,495578,-1,771724,-1,-1,658260,-1,845466,-1,715404,218532,122678,679750,582882,332632,433957,404718,112969,-1,312273,775745,-1,-1,-1,200589,214547,-1,-1,671526,874043,437312,-1,499112,-1,-1,656457,410753,-1,-1,920264,-1,-1,862145,912247,-1,888831,867815,-1,134038,52837,514884,917526,-1,657568,-1,-1,708409,662149,-1,218698,-1,232887,941131,212508,204976,892276,956902,-1,183344,-1,-1,-1,584253,423690,-1,-1,986044,686691,-1,511499,493559,-1,-1,320728,-1,107295,197404,206505,803322,-1,322375,-1,355706,943414,-1,-1,198163,495367,644278,-1,-1,319726,741457,-1,-1,678291,-1,-1,-1,258645,-1,-1,-1,-1,-1,-1,404705,-1,-1,579106,908112,-1,-1,412044,664948,717892,-1,78290,579340,95939,798044,872530,-1,-1,-1,55104,-1,-1,-1,-1,334470,-1,127891,-1,748044,993117,221902,-1,-1,-1,-1,-1,-1,679987,-1,714161,-1,-1,347191,-1,-1,236208,-1,231118,280281,-1,-1,596372,-1,425660,-1,520420,679732,-1,212637,-1,-1,-1,-1,-1,919159,370048,-1,-1,-1,-1,-1,-1,999176,-1,520948,688898,17042,-1,365942,956562,-1,-1,-1,-1,155494,401466,-1,-1,-1,477011,319798,-1,-1,-1,-1,745082,-1,-1,493602,-1,-1,-1,-1,292554,-1,945776,-1,-1,-1,-1,-1,-1,-1,461972,-1,801558,617154,248740,264084,-1,-1,416358,-1,991935,-1,440072,494321,611389,9462,56220,-1,237511,582478,-1,-1,223983,345343,-1,-1,757766,902180,-1,991932,782652,776749,279483,-1,-1,608112,554069,226889,343752,-1,868071,-1,-1,628932,-1,-1,-1,-1,-1,-1,838962,990900,879231,-1,763590,821150,905203,742570,-1,258171,-1,758675,958552,212072,-1,-1,-1,-1,547177,384741,755637,762046,-1,-1,-1,-1,-1,992834,-1,767555,-1,-1,891557,-1,805095,-1,-1,-1,-1,-1,132548,-1,703990,-1,-1,340805,623604,-1,-1,-1,33675,462114,998457,-1,450493,-1,858805,45678,-1,-1,904431,-1,-1,-1,636524,-1,260396,-1,-1,191369,830890,-1,495422,-1,-1,296636,228741,341722,270099,-1,432422,-1,-1,816900,-1,-1,201308,-1,-1,-1,-1,-1,845707,-1,-1,67132,238437,858904,970745,442118,782247,-1,-1,413968,-1,-1,-1,818837,920415,-1,782088,806263,456140,353018,847288,-1,560114,-1,379833,947290,241412,-1,-1,-1,-1,541386,476540,-1,-1,-1,-1,826559,-1,389779,-1,-1,-1,-1,946869,704216,432620,-1,-1,-1,493676,954212,-1,-1,558630,-1,857830,-1,792487,420392,680405,-1,741515,293190,453096,518948,-1,896003,-1,-1,884699,647201,-1,30904,-1,648133,62554,-1,-1,-1,-1,850127,-1,-1,-1,-1,-1,-1,-1,-1,-1,335573,748446,483353,-1,-1,15863,-1,297173,-1,-1,-1,595723,-1,-1,-1,-1,-1,-1,327281,-1,-1,-1,491009,-1,544333,637659,-1,-1,-1,412322,481381,255766,-1,462461,-1,-1,-1,194349,-1,136180,537528,765290,407662,-1,121992,328941,940372,482811,-1,161355,254425,-1,-1,-1,336984,-1,-1,-1,-1,-1,596289,-1,877251,825590,-1,-1,956124,-1,123565,-1,7331,-1,-1,868749,807174,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,286785,31938,-1,386436,780435,279760,-1,-1,-1,-1,520095,-1,-1,345182,438781,-1,949993,527947,921247,138242,133862,-1,-1,-1,-1,-1,790967,878778,-1,-1,80134,-1,-1,-1,-1,465582,913989,198603,-1,483990,172777,144154,550954,-1,384038,263624,-1,450855,-1,-1,478297,195225,-1,-1,-1,893884,-1,52504,541857,-1,22796,755324,-1,387359,-1,8284,2601,-1,-1,-1,367490,413315,-1,343660,424572,188082,530262,-1,-1,931738,-1,-1,-1,641953,103897,914114,137274,-1,-1,241886,84504,909713,320284,-1,-1,-1,971853,518018,177916,-1,492966,-1,632081,376059,-1,118567,-1,789004,-1,492741,763148,626740,-1,-1,802492,193902,-1,78546,-1,-1,349586,138587,-1,-1,-1,857189,-1,-1,351457,-1,288120,251730,-1,-1,-1,174776,-1,-1,597238,967219,-1,287793,376106,-1,-1,-1,602921,770413,-1,-1,397729,-1,-1,691935,889645,366348,612620,-1,989366,354526,20386,-1,-1,-1,-1,197854,681108,450702,-1,-1,263363,876568,-1,-1,785471,675269,57506,593605,-1,-1,-1,411317,716902,367697,-1,-1,938137,74268,-1,942468,-1,120606,487647,11136,-1,4192,-1,757036,609637,-1,710842,-1,-1,151708,-1,552094,990182,-1,948817,-1,-1,-1,-1,-1,-1,-1,168677,582446,865134,484888,987824,606102,-1,-1,288830,930882,251570,-1,-1,-1,-1,766849,-1,-1,77920,777650,-1,412956,-1,-1,-1,-1,288397,987960,500575,-1,314384,-1,-1,610065,280156,-1,650567,972760,606552,84404,-1,-1,-1,-1,358355,353663,-1,411363,-1,-1,287012,891306,-1,230753,904479,-1,93494,-1,787652,-1,-1,879287,-1,342601,-1,-1,458206,-1,-1,-1,556073,526266,-1,-1,-1,310895,-1,301256,-1,-1,707623,702360,113439,360530,981325,-1,79139,-1,386773,-1,-1,-1,-1,-1,-1,326019,757310,-1,-1,877950,330155,-1,437139,-1,-1,-1,998849,-1,-1,317220,414430,563009,-1,-1,762482,-1,-1,-1,-1,72701,351736,-1,804081,-1,-1,308105,662741,354230,-1,-1,-1,-1,601948,648644,-1,-1,-1,971592,79539,-1,-1,-1,-1,-1,-1,-1,-1,230082,76908,528916,637190,107322,575518,671404,-1,-1,597242,825207,77480,338422,-1,-1,-1,-1,-1,-1,519321,621709,-1,374566,185015,-1,-1,-1,-1,-1,-1,335246,697217,-1,658497,84170,-1,-1,858216,-1,-1,406804,-1,589812,111320,129077,394969,712480,47515,-1,858018,830487,52542,515696,427784,980999,633790,578508,687772,98307,-1,383635,-1,990053,959767,-1,999634,-1,71480,611102,646091,675904,289783,-1,74579,-1,-1,-1,-1,-1,88510,-1,-1,326151,-1,-1,-1,643226,-1,538260,-1,1004,-1,754102,285786,410252,-1,824042,-1,401802,-1,336685,127736,-1,963592,440285,-1,31499,-1,371486,811019,269495,903778,229442,73773,355118,102310,978399,-1,-1,-1,497858,121169,-1,276789,-1,3306,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,477163,-1,-1,-1,191646,856609,-1,76641,-1,681133,-1,-1,156359,-1,-1,-1,909992,679113,-1,-1,-1,460922,-1,-1,105686,109486,697541,845088,-1,-1,-1,938553,925626,365745,-1,-1,-1,430850,89031,-1,256411,-1,71505,-1,445828,-1,529416,985420,-1,-1,-1,167794,348633,731124,-1,-1,-1,473826,402642,-1,-1,-1,64622,988905,872307,-1,-1,202302,-1,-1,29528,-1,-1,-1,327763,676427,-1,56609,-1,-1,-1,809149,191232,248190,682915,395703,-1,14543,-1,-1,-1,-1,-1,-1,-1,318768,-1,243005,494476,-1,-1,-1,53300,203661,-1,-1,-1,383300,791233,-1,212765,-1,-1,-1,-1,-1,174211,49636,-1,526153,-1,492376,670832,726945,122935,858622,244953,-1,-1,-1,-1,723024,-1,316837,-1,-1,-1,20290,384638,-1,8928,-1,454905,120168,664919,-1,-1,514024,-1,870652,733183,558665,407862,145639,-1,452088,-1,166475,921474,270345,-1,603616,-1,-1,986432,-1,176652,531521,386934,363941,-1,-1,618008,234791,988324,-1,-1,-1,-1,-1,-1,833773,-1,-1,-1,520770,-1,-1,-1,403170,19835,-1,-1,204148,842739,-1,579939,-1,-1,-1,172483,-1,-1,289931,-1,-1,-1,504943,-1,-1,178676,-1,-1,22837,-1,261105,-1,-1,257751,189798,131468,-1,845045,728756,706294,-1,-1,365227,340799,-1,-1,-1,533140,53378,-1,-1,30250,363059,142388,-1,-1,-1,-1,658121,-1,949948,-1,750009,-1,604959,729396,-1,-1,-1,826299,-1,-1,-1,-1,-1,962165,428331,246779,-1,-1,976054,-1,80655,860552,937279,392142,62114,980849,-1,-1,-1,-1,-1,-1,540933,-1,-1,554000,154648,-1,-1,-1,607318,-1,-1,-1,-1,-1,486003,-1,305681,-1,-1,952060,-1,-1,319237,660410,-1,110249,-1,343343,582080,849331,747961,948807,-1,-1,219135,341134,718531,667492,-1,421919,974065,628940,519441,698762,-1,-1,-1,517746,-1,44936,-1,-1,956245,-1,-1,-1,-1,-1,886777,-1,531944,-1,207342,361379,-1,749656,498222,-1,323176,203667,-1,87927,-1,496860,-1,786410,-1,-1,-1,-1,-1,-1,-1,170110,790543,46823,58277,222907,-1,733168,-1,-1,-1,-1,383968,-1,-1,-1,671913,331109,-1,845468,-1,953186,184879,-1,-1,-1,-1,777360,-1,-1,747658,-1,-1,-1,-1,-1,-1,37405,925407,-1,193246,-1,568867,-1,996389,811086,771363,512243,791429,-1,-1,377989,-1,-1,188251,117570,-1,928716,990723,840186,294542,405478,921913,872255,-1,-1,-1,166601,-1,-1,-1,-1,763114,-1,769719,720156,56761,115509,176659,586568,390496,852808,-1,-1,323875,-1,6416,248681,-1,-1,274825,101079,384145,-1,-1,-1,-1,-1,54328,730447,362283,748483,661928,474596,-1,952347,812947,904583,628074,407,-1,679298,609532,-1,-1,-1,-1,533046,905149,-1,-1,866763,-1,228275,-1,-1,-1,183034,-1,112517,-1,471222,762297,556034,-1,432110,97238,258403,970941,-1,233861,292019,824740,-1,-1,-1,750739,-1,227384,-1,287979,708009,-1,154755,-1,-1,-1,313775,878573,393203,688080,-1,256139,114138,251323,941015,-1,910644,274624,-1,-1,212742,-1,-1,-1,446221,-1,271462,268439,-1,142447,830953,359087,504696,59292,220912,477432,598703,698824,907132,870777,-1,-1,397842,-1,521072,581394,-1,918835,421603,471691,927725,745655,277248,-1,-1,462883,909462,-1,-1,53007,-1,816422,-1,46599,-1,-1,435658,817118,498281,491532,-1,-1,101358,125811,-1,-1,-1,88099,220519,463858,-1,-1,-1,146193,-1,41637,925316,-1,-1,-1,-1,992197,-1,-1,-1,912993,704824,-1,-1,593574,199110,-1,132940,940704,-1,-1,228044,-1,-1,-1,990231,4374,498749,-1,-1,-1,-1,-1,-1,258420,-1,464384,569416,132567,-1,-1,-1,-1,594232,-1,994894,-1,955637,851682,135559,-1,-1,605259,-1,-1,-1,-1,781745,536912,-1,886438,685718,-1,-1,400692,-1,-1,814304,-1,-1,988251,-1,156347,-1,-1,-1,-1,158224,-1,-1,-1,-1,-1,143340,148686,224548,-1,91063,91239,59258,-1,-1,160166,-1,-1,-1,-1,68062,-1,-1,510155,-1,95969,-1,747118,587289,66096,-1,-1,-1,-1,-1,-1,-1,422481,-1,-1,-1,-1,-1,-1,-1,-1,-1,433401,-1,555309,-1,-1,-1,920303,-1,-1,-1,347399,243917,662952,-1,717627,-1,-1,660629,-1,736184,657953,528565,-1,-1,-1,-1,25051,-1,558179,-1,151574,-1,704237,-1,708376,551922,339240,445242,363503,-1,679647,309387,-1,-1,-1,-1,-1,42868,65517,-1,-1,371986,318013,913932,-1,-1,-1,-1,-1,341197,-1,-1,228582,-1,997754,-1,897261,-1,159544,186795,-1,-1,397737,-1,62415,399849,317032,270929,-1,-1,-1,-1,249946,451089,89427,-1,93324,628170,477981,-1,540228,911063,-1,-1,-1,989956,-1,-1,-1,-1,-1,-1,-1,718306,-1,-1,-1,116801,-1,-1,885318,907166,91758,612977,697228,431052,-1,-1,-1,42850,373347,693008,769803,597332,967686,-1,371232,99521,280878,586153,-1,751103,957389,288390,6384,-1,-1,889680,760712,-1,276192,874685,-1,617238,-1,39409,-1,-1,-1,856230,686268,371761,-1,-1,-1,930966,-1,502400,745914,-1,-1,777527,-1,55396,331204,676073,-1,-1,26094,-1,493012,-1,421161,-1,794388,-1,143050,-1,-1,674605,-1,-1,-1,-1,544534,288535,-1,-1,-1,-1,-1,-1,503273,830374,665999,269512,701180,383026,-1,-1,593671,-1,909548,994503,775916,163152,-1,355302,-1,-1,216721,233286,-1,-1,-1,-1,-1,-1,602439,615387,83913,-1,619859,-1,35521,4571,238184,937683,606976,-1,-1,960378,-1,-1,-1,516499,-1,107096,606943,900706,-1,-1,599,-1,-1,403185,-1,482150,422781,105352,161117,-1,-1,-1,699843,888155,-1,249698,83248,-1,-1,-1,-1,-1,277500,-1,759016,582122,-1,-1,-1,464538,-1,-1,-1,-1,429767,478739,-1,-1,-1,181586,298392,-1,-1,-1,-1,380851,-1,-1,-1,-1,-1,-1,435090,-1,687275,-1,-1,521192,-1,609976,-1,217761,-1,-1,-1,158918,767226,16873,654103,466940,980239,-1,-1,104150,99709,-1,896697,-1,197611,-1,36114,-1,-1,465860,376747,-1,-1,-1,495686,394023,545076,-1,966552,-1,-1,199326,772436,-1,197596,-1,564115,949283,-1,-1,-1,542143,-1,-1,-1,-1,539069,175833,332542,-1,-1,-1,962608,625751,-1,-1,-1,-1,874369,-1,612050,799973,-1,954620,432623,-1,722481,378796,857539,850557,-1,-1,-1,473377,366956,-1,424761,-1,-1,-1,-1,156500,390382,-1,852042,-1,-1,337122,567774,858073,854767,997350,-1,-1,-1,-1,829381,-1,81880,-1,-1,909941,572759,198947,-1,-1,800695,915938,899689,-1,665694,686256,-1,723652,745494,-1,404624,-1,-1,77007,-1,150764,401901,-1,242595,-1,-1,-1,-1,-1,-1,-1,672789,-1,-1,-1,455422,963751,856934,48566,-1,429671,952088,23145,-1,80788,319556,-1,769019,-1,-1,-1,778869,-1,29194,-1,-1,-1,509209,198434,-1,651010,375801,181347,831964,609543,304130,132333,-1,-1,52103,-1,-1,-1,-1,884841,-1,947934,713106,-1,-1,955778,-1,959461,551783,736602,974800,-1,880235,647976,-1,-1,820888,-1,674049,-1,-1,709018,464962,-1,-1,106059,595934,547492,107044,122279,-1,998665,-1,395915,-1,-1,388768,586106,708791,-1,805359,-1,-1,568308,-1,602249,780195,-1,-1,-1,949759,697274,620472,595569,-1,-1,233383,988922,-1,915667,756079,-1,-1,-1,800482,979489,217498,442780,-1,1256,-1,-1,434060,-1,955285,-1,-1,827173,-1,-1,225730,343762,-1,-1,352796,82528,-1,833310,933849,-1,678016,941804,-1,859703,-1,320336,-1,-1,-1,-1,-1,997434,331397,407530,-1,405051,975749,332612,-1,-1,-1,367118,-1,963265,864541,-1,928766,-1,805181,423319,-1,22577,-1,-1,-1,-1,509127,-1,-1,895765,-1,-1,-1,350106,-1,449734,870104,-1,933904,68223,181221,28946,-1,156586,-1,519744,-1,-1,-1,890205,198885,-1,-1,639634,562104,34906,-1,-1,-1,615780,463521,-1,705236,-1,-1,-1,-1,-1,36909,-1,-1,-1,-1,-1,972029,507012,226761,515182,-1,137380,865686,-1,-1,704770,483749,-1,665968,467168,698739,-1,40689,793913,-1,-1,587721,-1,58795,-1,-1,823322,-1,63954,780673,-1,-1,-1,63283,-1,550828,457863,829741,-1,-1,-1,520415,818279,434928,427979,77956,451501,-1,748152,299530,-1,468960,-1,978359,635809,797793,-1,-1,-1,-1,764096,-1,112230,-1,172229,-1,838161,-1,-1,260553,-1,7043,-1,116938,-1,188013,666133,607886,-1,141020,-1,810784,-1,814917,836892,-1,475844,173794,-1,-1,-1,-1,-1,-1,-1,-1,995450,-1,316230,-1,-1,-1,-1,-1,-1,460158,-1,-1,177677,-1,331862,-1,-1,876096,151001,811167,589517,-1,-1,959443,79895,-1,49817,689115,-1,901040,-1,-1,242034,950586,-1,-1,8626,836125,153065,953636,-1,605121,588515,-1,223305,-1,-1,686810,-1,669388,709979,308795,12845,427185,-1,80377,955260,383030,-1,-1,291124,-1,-1,-1,680809,538630,674661,-1,675919,300921,318325,319258,-1,-1,-1,674165,33281,-1,-1,-1,-1,225895,960917,-1,-1,63839,720796,-1,-1,876493,72180,-1,-1,357947,141690,629185,-1,817812,341401,99081,-1,-1,-1,-1,-1,988397,77698,-1,192409,681273,603946,-1,788083,-1,528879,215916,-1,332815,848334,-1,944955,432931,-1,261650,-1,-1,-1,312190,-1,-1,-1,142898,-1,10992,-1,-1,29899,-1,588302,-1,-1,74338,656901,-1,570376,78082,571717,167397,-1,-1,607210,-1,451608,-1,-1,509760,179925,458416,540399,-1,855351,-1,123875,901621,809944,-1,-1,806099,-1,-1,678994,-1,-1,-1,-1,870172,493035,931594,-1,140134,414078,598789,449485,504150,936133,-1,464968,-1,416284,-1,-1,-1,-1,-1,-1,-1,-1,394572,275879,-1,-1,907807,-1,-1,-1,1926,806247,470016,-1,-1,-1,24521,-1,-1,-1,-1,946036,2325,45337,720769,-1,223516,-1,-1,-1,520410,-1,43452,328972,-1,668308,652233,-1,575018,262487,-1,563641,-1,-1,-1,428376,229098,-1,408725,879721,230252,552343,214170,-1,-1,-1,-1,-1,-1,-1,-1,-1,920167,434063,118802,-1,-1,799906,625882,635985,969897,-1,84192,-1,-1,806503,-1,-1,-1,-1,485404,-1,748180,209184,-1,766533,82655,-1,-1,80114,-1,-1,43391,953099,273824,669118,73198,695562,109749,-1,-1,161825,-1,-1,-1,378530,379797,980875,387497,264959,406691,512625,-1,732824,538948,-1,953859,-1,375151,367825,-1,-1,-1,-1,320495,-1,502196,853878,469181,404021,296979,-1,519058,256519,324110,-1,142052,353509,-1,-1,489449,-1,-1,504028,-1,471190,-1,-1,-1,-1,-1,984957,961295,430040,-1,512781,-1,978708,-1,623699,-1,967095,874074,-1,-1,-1,-1,343142,238158,-1,347049,743720,-1,-1,190297,-1,-1,192751,763670,-1,-1,92622,199524,75641,-1,-1,-1,690174,774080,205173,-1,534229,173010,11997,579737,766792,931658,564988,373210,194847,668684,-1,845160,943328,877917,-1,-1,-1,519650,-1,-1,87244,386888,-1,687667,451626,90272,-1,-1,547029,-1,463467,517727,-1,329931,994870,383287,-1,-1,670727,-1,828410,428661,-1,424850,501517,635143,293714,-1,998508,-1,420946,-1,-1,-1,118469,-1,-1,-1,244512,-1,690871,-1,640993,-1,-1,471527,95784,-1,360026,-1,-1,428478,393656,453628,-1,456360,414540,-1,-1,-1,-1,-1,371125,308190,892439,556514,-1,223602,-1,-1,-1,-1,830755,-1,913301,290985,-1,187657,441874,208856,201831,1513,468490,-1,-1,-1,173659,535560,861942,412170,411001,-1,-1,-1,-1,242413,951081,-1,451036,-1,193568,658221,783346,-1,236899,604061,-1,-1,634036,737812,58391,-1,-1,-1,-1,458606,352606,427037,815927,701116,-1,-1,-1,-1,486124,613923,685820,512554,394242,193221,-1,631009,-1,-1,507941,752205,-1,747884,806088,771858,481935,502946,898652,750477,-1,464916,651009,-1,-1,812269,-1,608535,407907,204914,-1,-1,563204,761516,304510,-1,344229,26222,837786,-1,909985,-1,-1,632219,-1,555662,-1,269940,-1,-1,875247,721709,-1,-1,-1,-1,-1,376905,74457,193029,546294,-1,105485,-1,243483,85155,12606,-1,751626,335709,793467,-1,168112,573230,-1,-1,417746,-1,-1,280701,845049,350712,-1,-1,-1,-1,-1,-1,257154,815651,310187,644549,-1,254232,542656,-1,524268,-1,-1,664749,-1,773064,-1,675783,-1,-1,-1,967019,-1,-1,-1,909075,-1,550986,-1,-1,470061,227221,50838,869348,-1,-1,743861,330231,-1,-1,-1,751749,-1,-1,645335,837940,412655,633259,-1,849903,927340,480793,596180,128874,308064,-1,-1,558456,237588,-1,154426,848970,-1,-1,-1,844419,503753,-1,925164,953347,-1,129269,974920,437876,679656,878370,979136,-1,-1,826577,-1,-1,417464,424094,-1,322869,-1,128953,-1,522420,-1,-1,-1,801555,-1,269625,-1,640000,-1,238502,947681,-1,342848,589404,749947,-1,-1,-1,-1,127772,434269,-1,-1,-1,-1,343403,-1,897552,234975,-1,-1,686133,-1,-1,-1,-1,-1,423023,-1,-1,389875,-1,-1,753848,386151,-1,-1,869294,-1,465304,516715,985302,105454,657669,910021,-1,-1,-1,261976,605489,322979,736993,187557,334271,905090,-1,-1,-1,-1,-1,342942,502990,67066,142696,-1,-1,317730,-1,72057,-1,210519,520570,727595,-1,-1,412118,-1,684817,186997,-1,282792,625113,503715,-1,-1,-1,68694,736760,191506,-1,-1,469048,415654,841416,-1,-1,945332,-1,-1,430715,303085,-1,-1,-1,-1,-1,401678,769753,547233,553149,-1,137091,617386,79580,323646,-1,-1,419457,686481,992354,-1,-1,-1,-1,296259,-1,974782,434207,579041,902832,-1,-1,289790,888797,515106,33321,951682,961683,30667,647940,-1,906306,-1,741587,-1,-1,693457,-1,405899,-1,57438,-1,-1,-1,-1,918278,-1,204142,364854,444715,-1,-1,2909,-1,502165,621973,-1,-1,-1,-1,457384,-1,931929,-1,74064,701950,-1,574292,-1,527344,919437,293750,898369,187708,-1,973209,960154,907879,-1,-1,-1,180198,683098,161849,370688,881697,195038,-1,556045,-1,-1,-1,856822,519962,-1,-1,220479,114729,244941,-1,367322,740251,-1,-1,-1,377377,842775,-1,358700,-1,569332,5859,-1,-1,107536,-1,-1,544732,-1,273165,-1,492409,-1,678163,-1,373455,628003,-1,-1,285619,239828,681121,607715,-1,677233,-1,645423,805548,167658,-1,20096,-1,37064,451605,-1,-1,596769,-1,-1,-1,331223,-1,290511,212395,446587,703599,-1,44040,-1,-1,-1,-1,122016,133766,534222,844125,-1,770607,-1,-1,-1,966616,973994,-1,180500,-1,-1,102236,-1,-1,998563,145273,-1,-1,-1,-1,-1,-1,-1,36457,173777,-1,-1,-1,478752,216145,-1,498772,461522,-1,-1,986889,58717,271242,212521,315626,-1,-1,-1,-1,-1,-1,156203,399136,-1,831337,-1,-1,-1,-1,-1,161524,-1,-1,311623,210127,787837,619185,-1,-1,-1,916244,-1,-1,-1,-1,378884,-1,848829,-1,34361,-1,-1,120735,37511,993812,239815,-1,-1,468507,-1,-1,-1,915471,259314,-1,505638,-1,-1,749256,-1,-1,793451,488131,385951,-1,-1,278034,-1,-1,-1,-1,528174,634834,659544,41967,-1,904446,559801,71468,679400,361600,-1,741363,941348,67532,855646,-1,-1,-1,-1,-1,276529,-1,527202,-1,-1,591929,-1,-1,585024,-1,65429,-1,-1,-1,510282,299693,-1,244626,-1,588411,648630,-1,812611,-1,-1,16595,713694,190003,437112,-1,352925,457056,742550,-1,224865,-1,156488,-1,519457,-1,371056,523003,-1,-1,-1,-1,323336,-1,965769,-1,-1,203784,707417,413709,-1,593840,163386,45124,-1,649179,-1,-1,-1,116586,399482,-1,657900,166053,-1,-1,953057,-1,890574,162395,104438,-1,766128,492957,-1,-1,823099,807517,349298,102825,-1,384221,-1,275744,-1,112003,130426,127545,632188,151587,-1,-1,658543,-1,-1,-1,-1,545763,565089,190525,907045,-1,446733,614374,-1,766304,568964,865828,848482,-1,110904,-1,291498,-1,775584,206474,-1,200563,-1,-1,-1,-1,-1,644727,463139,970588,53790,-1,-1,763652,893838,582644,-1,-1,-1,-1,-1,-1,-1,-1,327398,392960,559411,714862,-1,723491,75246,-1,-1,127875,-1,303802,347093,-1,-1,-1,-1,-1,901777,377010,-1,-1,-1,977144,-1,769810,-1,-1,373424,919504,216116,774608,-1,-1,-1,123025,655573,-1,-1,-1,-1,-1,-1,521090,393967,20324,922744,-1,154797,102642,-1,-1,617770,-1,-1,804891,651152,-1,348897,-1,-1,-1,-1,672146,-1,745631,-1,9116,-1,282897,273015,-1,-1,116741,-1,745437,-1,-1,-1,-1,784642,399654,-1,862699,532371,-1,177833,790455,688046,-1,108107,-1,478903,-1,486405,-1,884360,225283,141692,166343,-1,-1,-1,815824,565161,-1,-1,-1,-1,-1,520705,917759,813092,664976,427003,847053,-1,-1,530464,-1,-1,-1,-1,519410,-1,-1,-1,-1,317820,-1,203322,-1,777039,335336,200621,-1,646984,-1,-1,-1,-1,-1,736595,-1,-1,-1,-1,-1,-1,296168,564610,-1,738304,266201,-1,-1,-1,-1,908876,648379,948523,-1,-1,254325,773763,-1,405707,516065,77330,-1,452597,623525,917050,-1,-1,134705,53821,-1,-1,-1,37111,506057,-1,-1,-1,470620,-1,190432,740233,-1,-1,-1,354953,-1,901877,-1,473849,89065,-1,-1,-1,-1,709586,765989,772524,956113,125442,831627,-1,-1,-1,318168,210193,-1,364032,-1,303196,790538,-1,-1,859498,-1,571829,920763,710161,777252,-1,-1,-1,527615,39148,152987,844946,-1,-1,-1,-1,514826,683603,164243,264557,875582,-1,-1,-1,-1,-1,605594,-1,-1,-1,-1,-1,73147,772861,-1,-1,984444,-1,-1,-1,335567,-1,514716,-1,-1,-1,-1,324215,-1,-1,410966,652443,-1,-1,611737,-1,-1,-1,272842,-1,-1,-1,628433,-1,-1,790189,114693,842372,-1,-1,664651,-1,700559,-1,-1,462893,-1,485744,160177,999536,936507,-1,783142,685834,182680,32200,35827,80759,-1,-1,-1,-1,547548,39768,-1,597186,-1,-1,382725,593929,148890,882883,862402,250660,-1,-1,-1,-1,-1,-1,-1,73215,-1,133175,158121,718140,433154,206230,487278,-1,436737,168074,-1,638953,87407,-1,-1,202643,113798,589757,-1,260886,908026,323692,791415,229091,583149,801040,94617,-1,-1,-1,-1,232920,-1,596407,-1,587218,70554,222433,677054,548590,-1,426564,-1,24879,-1,-1,-1,186111,-1,49976,-1,-1,-1,-1,867952,435101,439981,-1,554862,-1,906456,745234,76236,-1,716832,-1,310472,-1,-1,615188,-1,336067,143571,-1,18806,489096,672350,-1,-1,876807,283210,-1,-1,-1,125806,-1,-1,744161,-1,-1,-1,498840,514210,238079,-1,-1,-1,-1,-1,-1,-1,337472,204206,-1,-1,-1,251760,-1,-1,799097,713778,281681,-1,97261,-1,618103,616241,609088,-1,400108,896303,-1,-1,-1,-1,579794,523909,972986,-1,659063,-1,-1,849046,376697,657037,916322,437707,-1,69563,-1,-1,-1,207291,-1,836404,832637,-1,324765,484189,-1,-1,-1,931187,-1,-1,-1,-1,-1,-1,727146,-1,832489,-1,-1,801623,187827,-1,317578,-1,-1,68627,-1,64649,-1,-1,-1,554219,969163,244556,-1,-1,421382,142090,502267,-1,642017,-1,-1,-1,990518,-1,-1,-1,406824,-1,-1,-1,-1,27272,284508,-1,-1,-1,859778,-1,777627,-1,-1,566315,423046,-1,348874,301771,968551,-1,-1,-1,708489,779484,472441,765193,-1,-1,-1,713532,880699,-1,-1,-1,391041,429273,-1,293223,-1,-1,261488,542216,819586,550018,-1,-1,-1,-1,-1,935885,-1,-1,234080,-1,-1,-1,207355,-1,-1,-1,645118,130720,-1,676649,-1,238149,512787,-1,-1,812513,-1,-1,-1,879356,895796,-1,773347,479179,-1,613429,794310,-1,578895,665010,668073,763008,620886,-1,-1,353352,116845,307297,-1,-1,756875,849947,-1,113926,-1,191762,244233,909274,147279,-1,86563,106367,113004,1150,-1,529755,-1,282499,-1,-1,-1,628805,968010,-1,-1,216934,170249,64434,423269,264909,-1,205512,237150,161349,654228,348069,909122,685520,988730,-1,851277,-1,172212,487792,844328,-1,813241,-1,855595,-1,-1,594244,954106,985611,-1,-1,-1,-1,836268,-1,697610,887652,746469,-1,937652,361487,-1,-1,337096,125489,338029,-1,963140,161411,-1,-1,789272,229743,176003,-1,-1,302123,-1,780360,787112,-1,354933,-1,196537,88776,371563,-1,-1,581063,857275,582576,-1,-1,-1,-1,464555,904961,592427,-1,-1,961063,-1,684174,-1,-1,413147,236193,-1,582975,-1,-1,606306,122605,-1,-1,-1,97258,-1,85541,-1,779997,325354,548106,38255,-1,-1,-1,-1,-1,681800,-1,258583,-1,-1,242554,-1,-1,-1,-1,-1,512433,414730,-1,-1,603959,293502,-1,420322,-1,73891,150335,597868,-1,959722,85725,-1,-1,981579,-1,14328,149962,872994,-1,-1,727927,-1,418719,495979,-1,605035,-1,686389,-1,442390,961561,-1,580006,819067,82189,-1,960181,-1,-1,-1,581367,-1,299735,593359,889981,-1,221249,-1,330826,827232,89692,461356,644854,585120,-1,382671,127182,896317,105929,-1,-1,415543,142264,-1,289303,726751,-1,863788,-1,-1,-1,-1,-1,-1,130935,-1,319735,-1,306472,825878,795234,743010,545028,157437,-1,733907,-1,-1,563038,534572,-1,-1,268252,-1,-1,-1,-1,-1,369964,-1,911802,485805,463841,-1,-1,-1,-1,-1,658285,55055,372598,-1,902707,556010,-1,-1,-1,-1,933089,-1,209181,685837,-1,-1,26074,529054,-1,69950,-1,-1,487806,-1,615456,978955,516010,473916,-1,688326,-1,-1,-1,-1,549321,310732,538040,806144,-1,-1,-1,-1,-1,-1,183159,-1,562984,872035,432276,-1,-1,698699,828735,456810,-1,-1,-1,169943,786720,923250,679255,187688,-1,-1,-1,-1,206608,664762,-1,586668,5551,-1,-1,161847,-1,102994,-1,754623,-1,507165,-1,-1,930353,-1,-1,692614,726669,-1,458386,884917,-1,346516,271807,-1,-1,222192,-1,-1,-1,416394,477882,-1,187194,-1,284742,787618,453830,5150,309879,-1,-1,780584,424204,232582,-1,-1,161119,762533,-1,511861,-1,915713,-1,362273,107728,-1,926906,-1,909924,-1,-1,-1,-1,-1,239734,-1,-1,409192,502527,-1,-1,70769,-1,608414,-1,-1,558185,-1,103413,318700,719746,321759,669594,337967,557036,-1,-1,-1,262715,-1,-1,-1,583790,131336,-1,-1,359915,-1,-1,-1,486286,-1,-1,623869,-1,65052,894294,-1,-1,-1,-1,-1,9609,213291,-1,-1,541238,597273,539349,-1,267917,-1,439960,-1,-1,-1,798905,-1,-1,462084,122666,-1,457485,751130,-1,558696,592343,-1,-1,687405,-1,507934,600689,850759,-1,581112,879021,-1,617915,529759,-1,-1,302432,175695,-1,-1,-1,155570,1139,-1,-1,615035,-1,97766,586683,885883,189690,596866,800671,-1,186101,-1,-1,641528,374641,-1,-1,-1,-1,624131,184615,-1,-1,-1,467263,80793,159158,-1,-1,-1,-1,-1,-1,-1,-1,896254,103544,-1,-1,372481,-1,202831,839113,746576,578996,478904,-1,-1,-1,-1,-1,206017,204990,-1,-1,777991,-1,-1,-1,-1,383545,667584,814664,382084,-1,-1,-1,584296,615671,-1,-1,-1,-1,247011,494666,-1,134439,-1,481005,-1,671095,-1,310425,163937,934534,519091,-1,804464,610928,136484,261463,-1,589401,-1,-1,-1,832345,-1,-1,192024,845897,514556,45397,-1,-1,911607,324343,368429,37624,210381,-1,-1,254327,-1,735891,-1,-1,-1,-1,717898,590770,-1,617464,418848,-1,-1,643490,-1,157789,-1,260679,602047,-1,315643,725453,950841,-1,637367,133531,-1,-1,-1,895231,941454,634524,798353,-1,438360,-1,103159,-1,-1,-1,688654,-1,200568,-1,677114,-1,-1,-1,-1,285384,-1,429841,500097,869321,-1,-1,-1,849093,627014,469320,-1,820876,-1,-1,604143,-1,541594,884442,425018,391369,826328,463736,276157,247441,-1,362298,122718,901738,376850,564545,-1,-1,-1,774646,163018,621052,717781,-1,-1,161821,-1,204947,-1,-1,-1,-1,557525,-1,-1,273076,-1,-1,971901,-1,240581,724552,353137,796408,751055,129398,672030,-1,783129,-1,-1,732751,-1,-1,321493,-1,564490,815573,358112,117400,-1,39508,285101,-1,905535,207880,-1,-1,-1,-1,677048,-1,106410,681064,600526,-1,-1,67126,876846,46593,-1,477119,290268,845092,-1,316733,257221,303167,72839,-1,91766,568894,-1,744723,821743,-1,438598,57866,716818,-1,-1,-1,765461,64361,-1,-1,646050,511065,-1,315193,-1,411698,825922,81872,-1,536935,-1,159132,278877,708846,478990,788932,614925,-1,-1,-1,-1,529614,676517,-1,515612,387277,-1,719458,-1,955297,-1,-1,-1,302473,508129,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,23741,912052,-1,18940,-1,-1,961477,-1,-1,10763,-1,547073,302067,-1,-1,-1,-1,-1,229697,-1,923978,355956,48333,111983,-1,800494,788089,-1,693823,476097,765552,-1,301403,530810,325856,8259,438167,-1,-1,-1,8041,-1,977005,64423,-1,-1,130635,-1,584424,993634,-1,-1,-1,304838,336918,176226,-1,410967,765159,-1,946256,477123,495028,-1,-1,862414,352483,902869,-1,-1,609003,509391,190678,377947,-1,985719,204955,769214,65344,578347,-1,-1,941663,-1,-1,-1,393024,-1,91161,-1,438882,880777,-1,731957,44756,172601,-1,678398,-1,527785,-1,-1,544740,725250,-1,-1,92163,-1,-1,-1,-1,-1,916849,-1,-1,-1,-1,737462,402770,335050,738362,-1,592984,-1,148216,-1,972214,-1,125158,85749,-1,-1,-1,-1,-1,-1,400524,37391,-1,-1,483291,-1,-1,510982,294951,986753,-1,-1,-1,451702,-1,-1,-1,722183,-1,-1,884223,-1,-1,-1,969219,534348,469,608180,-1,-1,117644,578481,574749,-1,-1,-1,-1,796424,-1,-1,-1,-1,-1,546656,814102,-1,-1,-1,-1,637310,-1,350069,537522,733509,-1,302036,858194,452783,247128,-1,874844,993294,-1,297404,98793,847542,609511,370425,-1,-1,-1,-1,-1,754160,-1,443726,629943,-1,-1,-1,-1,-1,-1,-1,454654,311409,289375,-1,955369,912069,800277,357102,109058,18135,-1,824176,-1,-1,-1,325216,-1,-1,-1,-1,15909,840519,-1,-1,372035,-1,598427,-1,65076,-1,-1,619504,-1,-1,578937,-1,367955,990038,-1,299521,45353,-1,698583,896981,-1,153590,-1,493945,841322,-1,284714,-1,204485,545338,-1,-1,558045,-1,540340,-1,-1,621755,-1,-1,-1,-1,-1,-1,444045,34366,321900,712741,-1,718729,652739,-1,901211,-1,-1,-1,-1,613746,-1,-1,-1,-1,945063,285327,-1,180720,745448,-1,-1,885523,403400,239161,727500,-1,976169,-1,203782,-1,-1,-1,-1,-1,418205,-1,-1,-1,533343,-1,424955,-1,-1,-1,165389,7393,-1,866239,571142,212144,852956,-1,157376,846077,-1,-1,684229,641181,-1,998146,-1,957201,-1,-1,491544,847592,-1,-1,-1,794772,656174,677186,-1,142548,883620,-1,-1,-1,261004,-1,173817,515749,399789,103096,-1,680946,228543,-1,-1,-1,-1,-1,-1,-1,-1,558702,499307,-1,-1,-1,361419,502826,-1,586576,-1,355234,-1,-1,100023,403233,65478,-1,-1,-1,-1,-1,49464,585369,-1,847864,407250,392716,603966,-1,470249,805074,-1,-1,-1,-1,592708,625211,-1,-1,790649,-1,738813,-1,-1,396773,-1,10379,872112,415552,-1,-1,524052,429573,-1,331353,-1,581053,769864,-1,303713,-1,518166,-1,-1,-1,-1,663877,490086,996140,-1,496230,617083,-1,685013,-1,-1,-1,294983,507451,-1,-1,623214,783529,926754,974416,567684,730586,692664,-1,151669,-1,488264,-1,181490,-1,-1,966165,69733,-1,435729,-1,-1,-1,-1,320854,445898,109333,-1,-1,814974,112883,-1,762042,481853,570790,-1,514190,-1,90683,665649,524462,-1,-1,541046,504470,-1,-1,738278,847526,780106,-1,-1,357229,-1,-1,-1,420009,961584,-1,-1,-1,-1,552511,-1,-1,358129,640347,-1,184668,537910,524892,-1,-1,-1,190203,-1,40523,895870,-1,578436,551803,647732,52041,-1,-1,-1,-1,382730,-1,613994,660968,-1,872858,-1,-1,993522,299087,564510,-1,360327,414619,-1,-1,-1,-1,832710,-1,290711,70742,560337,-1,930901,-1,507396,926746,-1,13356,225797,666768,798599,-1,909975,-1,458182,719847,216378,54931,648339,-1,-1,-1,293178,307120,33353,-1,-1,856661,89832,-1,-1,347221,564004,274607,162337,-1,430868,-1,-1,725962,713643,878041,-1,-1,188145,862306,-1,-1,850323,-1,-1,113677,-1,928556,75754,880158,-1,-1,-1,124745,-1,841435,522386,526132,545365,869826,457625,-1,-1,-1,166615,854925,-1,-1,175675,-1,443966,147479,935289,534840,31757,-1,-1,-1,-1,-1,424065,-1,895350,-1,227423,-1,688018,-1,-1,530659,880968,601096,-1,201231,378410,-1,855383,750836,-1,-1,-1,-1,-1,-1,336116,664971,82909,238315,40916,74285,233850,-1,721298,401680,775275,968749,-1,300386,907994,699324,794503,-1,375150,-1,349203,64696,852161,290004,623036,235590,812082,719455,-1,541177,-1,730231,317015,168434,824173,-1,-1,-1,-1,898298,74277,790710,41521,834289,743334,919821,-1,569756,604084,-1,-1,-1,779114,-1,769302,737507,583019,28401,972268,-1,394126,614804,-1,212976,429821,-1,-1,678871,582997,549288,674792,-1,-1,-1,188556,-1,459130,923336,431720,-1,-1,-1,85627,-1,465373,6017,826602,-1,710399,-1,622878,-1,602802,657437,183826,64761,-1,-1,543529,-1,-1,710505,299390,-1,775982,-1,938421,773838,-1,498234,-1,-1,453315,209983,-1,769903,-1,-1,379674,16185,-1,180882,741652,523268,-1,62042,-1,-1,544943,-1,346672,359393,-1,-1,946358,-1,802302,-1,-1,233152,-1,-1,360402,-1,-1,216000,-1,-1,962123,-1,557987,-1,901790,-1,-1,779348,-1,618713,697967,-1,32518,316923,418797,277544,-1,-1,52070,-1,947834,-1,-1,61140,540429,62760,594490,430342,57157,387412,-1,521326,587592,-1,-1,793312,889991,-1,-1,974149,-1,734920,291523,-1,908789,-1,971138,116284,954447,782828,-1,237950,181999,146325,230588,-1,458044,655305,-1,580173,358742,-1,167545,535297,-1,289673,-1,-1,-1,428894,36874,-1,-1,-1,-1,846860,-1,644281,-1,-1,927083,-1,-1,-1,-1,-1,272242,336248,385835,-1,415330,-1,-1,-1,47183,269750,800332,987303,813994,883477,-1,-1,-1,-1,282091,-1,713953,907611,375230,852120,631687,-1,442128,-1,-1,856612,-1,712433,239771,506841,1470,-1,-1,820956,-1,-1,-1,600600,188414,-1,-1,172724,-1,4689,-1,883193,-1,298158,-1,-1,793512,201930,-1,-1,416238,-1,-1,58645,-1,917691,-1,165889,-1,719759,200436,955076,-1,876922,-1,880516,319379,-1,-1,898111,-1,-1,-1,846099,737165,-1,-1,-1,-1,704379,297950,-1,477495,-1,-1,-1,-1,45067,-1,-1,795372,-1,152344,206264,-1,922134,943818,749072,411374,555432,810205,816893,-1,-1,245255,912688,356550,-1,-1,356099,-1,-1,681742,151960,806127,499586,-1,-1,-1,-1,-1,-1,-1,-1,648492,-1,410326,891406,116562,-1,-1,662058,-1,-1,502999,-1,818649,-1,-1,908207,815659,-1,-1,957010,-1,-1,-1,-1,633348,597373,-1,-1,-1,158057,430946,185637,-1,846299,-1,383650,-1,-1,715746,-1,-1,-1,585250,-1,845840,896424,993036,511126,-1,611402,899044,-1,-1,346823,888574,-1,-1,-1,-1,734125,-1,776235,577072,706211,-1,556495,-1,-1,202122,769547,-1,350201,990929,-1,-1,188775,-1,-1,215047,-1,-1,-1,-1,271213,-1,38691,417618,-1,-1,-1,32930,96966,358200,443571,662153,414875,480030,226401,110285,826312,-1,-1,-1,942976,747508,-1,963773,775994,-1,-1,-1,-1,-1,-1,-1,-1,559107,-1,-1,-1,770757,868000,119926,-1,-1,945441,-1,456980,-1,-1,-1,-1,476611,-1,-1,141863,620795,72069,365653,922943,368417,-1,714742,-1,-1,-1,656407,-1,400743,-1,-1,-1,-1,441023,-1,-1,-1,-1,-1,472671,-1,145157,925095,-1,244123,683164,965457,-1,-1,833859,885402,338020,-1,641364,557820,-1,49568,-1,969779,238883,198409,-1,-1,-1,603664,-1,641813,-1,-1,-1,566104,-1,374632,-1,357434,-1,-1,-1,-1,-1,-1,-1,664566,-1,-1,667000,-1,859650,-1,651403,-1,837834,5618,-1,-1,-1,-1,-1,499536,-1,-1,970233,-1,64332,-1,-1,-1,-1,353983,366805,-1,-1,667938,-1,734168,-1,-1,-1,38624,118738,-1,886105,-1,-1,-1,-1,392061,981377,267223,729523,-1,-1,-1,-1,942198,-1,-1,-1,360482,905557,919664,420424,189828,233422,-1,-1,-1,432780,-1,484995,844708,-1,-1,757908,-1,-1,50333,721377,777672,732187,-1,-1,137455,828972,-1,943900,222362,-1,462635,618618,782070,-1,-1,939982,-1,-1,-1,-1,-1,-1,387043,-1,324855,167108,-1,742669,135493,736894,-1,487148,547161,236619,-1,-1,812406,-1,847563,190942,-1,928654,-1,-1,717666,-1,-1,812435,982178,-1,73661,265933,-1,-1,-1,-1,464000,-1,-1,-1,-1,-1,-1,997873,898570,615432,359809,505299,-1,-1,-1,-1,943894,-1,36896,-1,-1,764540,997780,-1,15226,68171,-1,-1,-1,-1,851097,759508,356217,-1,273282,63529,851958,-1,369730,447889,-1,830497,-1,256060,-1,-1,-1,281942,247913,11983,654303,-1,873014,640415,-1,-1,-1,633424,867160,596961,222368,-1,-1,-1,-1,682186,-1,555714,-1,574984,250664,-1,-1,426878,507576,423135,384478,864606,541739,838029,650366,586224,18577,784469,-1,324091,458962,-1,403553,-1,-1,524053,-1,-1,-1,-1,151311,-1,518858,211743,891355,-1,-1,-1,507623,795925,-1,557814,550249,22184,-1,492031,929267,-1,979818,454273,-1,-1,416933,-1,-1,677625,514512,-1,-1,60918,354888,-1,845206,-1,-1,969070,286621,-1,-1,902632,-1,634115,-1,5218,718532,-1,-1,-1,292466,-1,-1,-1,-1,880177,-1,-1,154634,569706,437559,-1,114628,-1,-1,182510,566403,-1,881159,369506,342611,-1,-1,-1,479333,-1,-1,-1,585742,815201,-1,-1,-1,-1,-1,27076,679883,493963,654583,804990,633602,-1,588877,632378,931706,-1,654659,429865,357725,-1,-1,126579,86824,514280,842167,-1,-1,149263,739291,-1,-1,-1,-1,141364,386003,-1,65285,375395,-1,-1,478760,-1,380266,-1,304656,726927,510491,96421,-1,825506,-1,-1,-1,16499,101195,-1,526913,125381,-1,-1,391574,-1,-1,59286,961548,-1,664578,-1,-1,-1,171884,-1,663461,102417,605255,166216,-1,480919,-1,-1,267074,420619,530567,-1,-1,-1,-1,402118,-1,747298,-1,-1,-1,733975,414896,-1,-1,-1,944311,21300,-1,324646,-1,-1,473256,-1,-1,-1,638199,-1,-1,-1,-1,-1,722582,-1,-1,650060,931454,-1,320513,-1,722503,378809,671935,-1,786612,660209,-1,62086,887243,352761,247773,407030,950008,159162,549697,-1,751584,945557,-1,79633,446428,204171,65053,951282,670979,-1,-1,-1,-1,469696,-1,843354,660132,-1,-1,-1,271453,-1,485603,896479,114756,-1,-1,-1,-1,-1,-1,453483,-1,915714,-1,-1,-1,498307,317275,33167,-1,-1,-1,558664,-1,-1,-1,-1,327262,-1,-1,20138,-1,-1,-1,301654,720002,747921,-1,-1,-1,-1,664277,775837,283009,753433,-1,277119,-1,723718,545059,264369,880494,-1,669721,-1,697888,-1,-1,290222,-1,-1,301196,-1,-1,-1,275358,-1,384472,49114,995351,566800,917550,-1,657719,735277,-1,-1,148506,-1,-1,972932,-1,-1,117158,-1,-1,402444,668456,-1,-1,-1,-1,710801,-1,-1,-1,280497,653394,-1,255869,-1,-1,-1,-1,171576,-1,639995,-1,-1,-1,252067,-1,205388,-1,-1,-1,650778,-1,881190,911839,477651,673901,-1,-1,726759,32761,-1,611323,634863,170139,-1,596661,-1,-1,105325,-1,-1,240105,-1,-1,-1,-1,341789,819708,-1,646735,-1,-1,-1,13371,-1,-1,317679,-1,368309,780289,-1,-1,-1,983678,-1,-1,-1,-1,997088,762415,685901,-1,750841,696543,236446,868034,-1,584276,-1,-1,-1,-1,760206,-1,-1,-1,703615,-1,-1,-1,991993,987337,-1,644906,-1,413156,-1,335468,-1,-1,-1,848720,-1,-1,-1,-1,-1,629307,-1,133140,-1,351999,-1,-1,364237,903043,576972,-1,-1,728373,-1,-1,279298,799888,-1,-1,-1,-1,576059,-1,824494,-1,323949,-1,172505,-1,-1,-1,-1,309923,198086,345268,-1,631530,228414,-1,-1,-1,589777,4454,-1,-1,456901,309590,546692,227687,-1,-1,659978,-1,-1,-1,-1,83631,472276,219480,-1,922768,-1,-1,-1,38320,175844,558480,-1,368142,-1,-1,540021,-1,-1,-1,878612,-1,316294,945445,-1,-1,-1,-1,250844,87205,520443,-1,-1,641750,738277,453225,121982,674565,-1,-1,-1,-1,609638,-1,-1,541809,-1,450928,-1,392547,476212,845613,-1,774342,-1,-1,914838,-1,-1,97742,357239,136686,-1,-1,197636,-1,950897,-1,-1,584319,-1,-1,781165,906654,-1,851352,-1,-1,918318,934002,-1,265894,274531,738755,237477,-1,-1,181451,-1,-1,24374,-1,860836,-1,419146,373647,131415,-1,172499,362653,-1,-1,-1,767915,750596,18042,-1,-1,535582,-1,733600,514168,7903,-1,527935,890466,-1,589636,153944,262831,-1,-1,-1,212595,-1,-1,291643,386067,-1,997565,-1,644022,889375,-1,-1,-1,488335,-1,31608,-1,-1,346415,-1,-1,-1,751978,509126,652151,-1,-1,610796,340075,-1,833125,759329,383669,-1,273543,299525,919597,-1,792207,-1,-1,-1,218398,78170,816485,136750,882043,319251,-1,-1,-1,563357,-1,-1,-1,209902,702081,688906,-1,-1,515223,571469,-1,709845,612583,646554,208115,-1,-1,-1,943909,-1,-1,607681,167234,-1,924129,-1,-1,-1,393478,422694,-1,-1,-1,349054,328876,519713,200764,196129,-1,332075,284203,-1,320621,937945,954493,316805,431091,-1,702364,137442,-1,17420,-1,354045,392358,-1,-1,-1,17933,-1,-1,-1,-1,562710,-1,-1,790025,303337,634487,-1,830894,179062,-1,-1,-1,654749,-1,563182,-1,-1,-1,-1,-1,-1,856858,145803,-1,944549,-1,-1,-1,-1,-1,-1,494951,641162,809033,910789,-1,469065,839701,-1,-1,-1,-1,652354,-1,-1,656304,-1,815144,-1,728310,-1,-1,-1,-1,-1,-1,209488,-1,-1,62695,-1,-1,-1,308407,-1,874039,-1,-1,-1,552627,724970,-1,-1,-1,-1,541912,217883,506850,-1,821022,400338,146985,-1,-1,950782,-1,868580,-1,-1,320683,-1,339332,-1,180791,-1,-1,-1,-1,-1,-1,-1,-1,198925,-1,-1,429798,-1,-1,976,-1,636063,-1,9025,-1,838621,758843,-1,37368,-1,546342,-1,956002,-1,736892,-1,-1,-1,423439,602601,991029,997416,-1,-1,-1,115041,164333,-1,-1,-1,-1,284138,-1,-1,357435,-1,-1,-1,252889,657762,-1,-1,-1,-1,243940,-1,-1,186001,648360,477999,-1,215904,-1,-1,595114,81052,-1,301419,555219,-1,324871,208682,-1,430212,-1,-1,-1,-1,-1,216313,707377,263820,99456,-1,533744,-1,920321,-1,966963,272615,-1,520752,157899,330291,729023,-1,890461,428452,-1,114034,-1,175925,-1,-1,442694,563034,662263,-1,667779,846328,309250,214585,-1,-1,567219,142453,219521,-1,-1,124194,261117,-1,-1,-1,-1,-1,-1,414841,824576,767093,-1,-1,-1,-1,109099,-1,-1,-1,922205,432461,-1,-1,977086,-1,999031,601504,-1,667557,684018,507361,366235,-1,-1,566786,-1,-1,-1,-1,-1,426618,35872,-1,-1,-1,46601,965172,584994,-1,-1,-1,540178,174150,-1,-1,-1,-1,-1,-1,-1,506247,-1,705484,811243,-1,-1,671166,-1,590102,-1,957788,291889,444520,761226,-1,-1,-1,-1,435374,-1,392735,-1,319463,622495,-1,567378,-1,953408,972362,-1,-1,563694,-1,-1,526970,570899,105655,417110,280224,363461,-1,740636,402163,-1,846446,671581,146951,747629,-1,-1,-1,-1,758419,486064,214224,-1,140493,361388,-1,-1,-1,-1,-1,-1,347896,-1,627255,201343,850437,576242,-1,123886,842677,-1,-1,478712,143573,-1,-1,408572,-1,768250,32707,-1,714294,-1,951657,-1,633042,-1,-1,432397,687015,-1,-1,-1,-1,-1,-1,595264,724406,-1,-1,190260,-1,-1,-1,962560,529472,-1,-1,911590,795790,-1,444368,791342,3383,-1,-1,352555,384132,-1,539168,390672,-1,543111,-1,-1,840793,902139,-1,266512,-1,-1,-1,-1,-1,350816,-1,-1,-1,-1,-1,136088,-1,-1,997990,-1,915150,990346,-1,381379,-1,-1,-1,497148,-1,978642,755739,-1,-1,817,396114,3995,982505,-1,987350,191711,869292,-1,-1,-1,-1,708984,842481,443717,855563,-1,-1,-1,-1,-1,269385,227843,816634,844433,-1,-1,472551,930153,628075,65187,931699,568717,-1,272858,616342,57214,830173,836414,733623,-1,-1,753691,353995,642311,-1,-1,624324,696470,-1,127162,413880,-1,938805,-1,337810,-1,8170,-1,-1,-1,88744,728207,130251,863827,-1,-1,333291,717800,-1,510133,384782,758850,524658,-1,-1,2650,217686,531733,-1,767462,737049,531611,-1,-1,146215,-1,764994,683346,324434,-1,412307,460675,-1,53984,-1,-1,869018,306261,-1,-1,517532,-1,-1,410805,-1,-1,-1,374262,248195,-1,-1,-1,-1,-1,323452,-1,476302,439375,-1,-1,446151,-1,9998,-1,761993,-1,153946,394288,975656,44865,895998,-1,-1,-1,138597,796742,-1,847816,900469,-1,261255,353142,545347,637663,980029,-1,-1,570320,116415,-1,-1,-1,457468,555895,464936,815103,661507,512307,84240,85920,-1,-1,-1,810266,989055,-1,-1,-1,-1,-1,-1,-1,878481,54774,-1,-1,208729,-1,249453,539711,146987,25408,10612,-1,-1,-1,485219,910919,-1,-1,595751,-1,-1,842141,555905,-1,971632,431454,144401,156758,131447,542606,-1,703067,25174,811762,-1,958811,177971,-1,374172,-1,-1,249397,578209,-1,-1,-1,-1,126682,256244,344777,201897,-1,-1,-1,538009,-1,-1,-1,724142,-1,728990,-1,23843,-1,-1,-1,-1,139518,-1,-1,182485,-1,-1,-1,-1,934997,-1,308741,376039,264435,-1,467832,591580,-1,813474,-1,199981,-1,-1,-1,892863,996162,-1,-1,872762,-1,879601,-1,-1,-1,-1,-1,319207,551282,-1,-1,477300,394655,840899,601754,54748,-1,843960,27767,954674,148600,392857,-1,-1,-1,534016,-1,-1,-1,-1,448256,-1,15035,-1,-1,956657,-1,632444,75684,249387,398354,-1,-1,694901,-1,-1,125069,185669,681142,716279,365827,745621,122713,-1,-1,-1,898008,822571,726983,344220,227138,202746,-1,235932,-1,-1,167315,374526,532186,566983,512645,241338,-1,-1,722790,443412,-1,859859,96666,927196,992777,830888,115785,-1,316667,-1,216545,507725,373165,853915,335370,502,-1,401393,-1,53599,423177,130186,406749,937736,-1,-1,991707,-1,-1,522703,-1,973967,-1,-1,-1,423536,861103,550635,-1,704529,-1,628838,-1,-1,67749,-1,-1,-1,700370,-1,-1,258685,748423,-1,-1,-1,494101,-1,176818,-1,771175,-1,792819,385672,530444,-1,88971,576324,187715,323104,-1,-1,-1,-1,-1,-1,-1,556016,-1,564804,737074,440020,324720,-1,-1,-1,-1,-1,969431,-1,-1,-1,1957,757166,-1,319517,-1,-1,-1,716709,-1,307964,379712,504105,-1,-1,-1,819466,16503,306257,-1,-1,282530,59464,-1,836739,-1,-1,745473,48205,-1,346254,144725,-1,140301,-1,-1,945698,352038,-1,764159,451215,-1,854486,-1,106360,-1,-1,-1,-1,-1,754564,951026,-1,-1,836768,626221,-1,542848,576570,-1,894238,-1,-1,-1,-1,770066,-1,-1,6617,-1,-1,-1,-1,-1,920309,-1,-1,-1,-1,-1,-1,73429,799642,-1,840343,857794,-1,-1,-1,-1,920340,186821,70721,-1,-1,304777,529902,853082,-1,722017,863322,-1,521555,-1,397229,-1,-1,-1,803432,-1,773483,115997,-1,954935,280925,-1,-1,721172,712593,-1,785885,-1,645775,-1,-1,220399,597827,-1,-1,28258,-1,925058,-1,-1,-1,64995,442742,-1,15557,-1,-1,-1,285991,-1,649373,119055,-1,-1,-1,-1,265690,432451,16075,-1,-1,-1,-1,544331,-1,-1,381513,-1,-1,-1,140098,384101,223416,-1,732485,32982,650783,-1,-1,-1,-1,-1,-1,-1,206279,916151,-1,487798,-1,-1,-1,646359,-1,176222,553223,320085,274713,-1,-1,411231,856242,-1,-1,-1,-1,594314,478820,-1,-1,-1,-1,-1,155326,-1,-1,614139,652357,6067,635660,-1,379406,-1,831900,516714,-1,-1,428208,-1,-1,-1,478853,85985,-1,59755,-1,130959,-1,475446,-1,-1,351583,527548,543581,47416,442094,-1,-1,-1,142433,554499,966938,-1,780943,-1,151224,-1,196549,708434,66836,-1,933516,288716,821023,-1,206987,78873,530942,-1,770239,-1,-1,98898,-1,-1,-1,-1,890927,148684,852798,-1,823967,368240,291023,-1,954958,314785,-1,878670,817786,-1,575870,116112,889027,290100,-1,-1,75160,-1,-1,-1,-1,891007,311129,-1,-1,-1,124584,309460,589566,-1,-1,138670,847523,524876,-1,-1,423443,571296,785721,-1,-1,185612,553523,-1,-1,79427,888432,-1,541814,-1,-1,798331,-1,64599,-1,598314,876288,-1,-1,-1,-1,629362,-1,763452,-1,-1,400353,-1,-1,-1,-1,452298,-1,641735,-1,-1,-1,-1,-1,931669,794677,-1,936461,616389,-1,-1,133076,104306,404768,-1,872699,161564,-1,533203,762249,-1,207466,999002,-1,640610,-1,736028,-1,-1,732182,332968,821282,712829,-1,683550,-1,-1,350543,66167,19436,470323,714048,95970,794297,-1,-1,-1,-1,93023,21626,-1,189115,-1,452950,713160,-1,378635,-1,70459,466697,-1,682789,-1,-1,13711,-1,931767,-1,-1,-1,-1,-1,146785,891607,346490,614081,44532,-1,-1,418669,792667,-1,-1,184101,547693,902958,-1,499164,832550,950342,-1,-1,-1,-1,13234,311516,-1,-1,142014,806254,847917,-1,910402,699479,-1,-1,-1,937839,-1,613711,-1,-1,-1,537853,825367,306958,260126,-1,136566,-1,271863,-1,-1,254585,-1,213078,352752,-1,-1,-1,-1,356176,-1,-1,-1,217399,-1,31956,437684,114714,238000,-1,826176,-1,-1,304347,203570,798411,721196,-1,-1,-1,-1,240907,-1,-1,-1,-1,265768,975687,495952,30049,-1,44942,-1,57656,-1,-1,-1,-1,-1,290713,477681,162020,-1,-1,698708,46477,-1,-1,-1,469595,686743,-1,144157,73379,-1,-1,-1,814835,253805,719027,-1,-1,-1,677809,466760,-1,-1,-1,-1,-1,-1,-1,986299,-1,-1,97545,265499,960379,-1,-1,-1,-1,-1,690622,-1,-1,-1,553670,-1,169744,-1,-1,-1,-1,-1,-1,709,-1,940747,-1,-1,393341,-1,344808,626913,-1,907,-1,-1,-1,-1,-1,-1,951659,378639,-1,-1,-1,-1,715445,187844,386295,-1,769275,135226,646612,-1,656322,-1,-1,897479,-1,529327,-1,295003,895268,-1,743040,911270,687302,863932,371650,189796,72045,979397,-1,840970,-1,-1,759923,-1,4990,951585,786662,206367,-1,-1,-1,-1,132685,-1,519768,-1,960396,-1,100837,-1,-1,21407,494430,618422,908713,311520,691238,-1,863103,773545,-1,-1,264143,451975,254060,-1,309320,233254,-1,238970,180748,-1,-1,878102,159364,-1,-1,26468,-1,-1,-1,549658,-1,-1,-1,-1,294381,-1,-1,-1,-1,324162,15169,-1,984816,431923,-1,-1,72431,-1,514130,580918,616618,962314,138818,451750,-1,563840,-1,-1,937018,996306,-1,-1,-1,296471,-1,271931,833951,-1,978540,636722,401662,-1,134651,209014,-1,-1,774061,132989,957686,-1,-1,-1,114545,894150,-1,949882,-1,-1,-1,-1,-1,-1,-1,-1,-1,578216,381120,441294,-1,-1,460844,-1,348700,-1,-1,-1,778928,414108,137280,-1,-1,-1,646180,-1,-1,-1,776710,-1,594531,-1,-1,7951,380685,-1,815356,530222,305109,-1,63490,110593,189937,154773,-1,-1,978807,652536,849543,-1,-1,749501,681929,580993,992567,-1,299184,-1,-1,123144,306613,779549,930227,-1,359099,-1,-1,-1,52578,463340,963413,-1,444845,-1,-1,223515,1230,512596,-1,476689,611201,-1,33899,-1,771496,-1,960496,338815,-1,567916,-1,796889,-1,-1,490810,900029,730189,-1,-1,587287,322676,-1,-1,114588,163512,698452,-1,-1,-1,-1,735005,-1,-1,983589,-1,-1,-1,461666,-1,519151,399731,-1,578265,366326,439490,-1,261822,293775,521069,156071,-1,14402,960624,-1,-1,-1,251528,704364,-1,553730,-1,623578,-1,256006,-1,296862,374192,-1,826024,248123,-1,141144,-1,-1,969197,350899,-1,-1,689862,315009,-1,-1,186932,-1,319432,837606,630362,-1,-1,-1,-1,533741,-1,128458,104571,-1,845858,-1,654129,-1,180590,450693,-1,-1,179174,-1,202111,599858,-1,462089,205427,-1,895991,113913,-1,-1,-1,-1,-1,-1,782210,-1,-1,455275,-1,-1,464573,-1,676476,719910,-1,-1,300814,-1,-1,575195,-1,-1,91242,-1,-1,-1,874378,-1,-1,565493,278366,-1,-1,-1,-1,-1,-1,-1,992296,-1,-1,-1,326442,486365,598646,-1,496953,-1,768144,-1,-1,856741,-1,990800,389717,592791,-1,-1,-1,859934,-1,-1,848363,413794,605307,13132,424647,-1,207143,791371,582737,-1,650703,-1,296208,850767,155983,703921,-1,881249,213541,-1,302985,-1,154588,790445,-1,-1,64577,25827,-1,489007,-1,-1,-1,-1,-1,-1,-1,891297,732660,611914,413512,66780,106654,23404,-1,-1,-1,239176,790219,-1,-1,-1,-1,-1,-1,-1,317128,921259,637996,-1,-1,759133,449280,435252,682980,751033,999996,-1,-1,699768,777389,-1,119992,-1,130089,599089,195369,-1,-1,705956,987707,-1,-1,-1,901316,914345,-1,185651,353215,771547,236601,-1,944571,-1,-1,-1,551184,953090,790356,122702,264912,-1,-1,-1,-1,972996,-1,-1,-1,-1,24082,9159,300759,-1,-1,-1,-1,-1,-1,498669,-1,-1,139342,573654,-1,-1,137889,-1,-1,-1,-1,-1,198036,-1,169652,-1,-1,137733,-1,39902,62677,142367,929714,774823,-1,461586,-1,-1,-1,-1,-1,233363,296971,-1,-1,393768,-1,-1,-1,615753,397099,-1,143285,653779,-1,-1,223485,-1,490364,-1,-1,-1,-1,230583,-1,-1,780837,278918,33315,-1,-1,777465,95138,-1,274024,-1,-1,553129,-1,-1,540974,-1,192806,-1,-1,927028,-1,-1,-1,-1,-1,928406,-1,239974,224105,125987,198132,264055,311348,-1,-1,924245,-1,419951,-1,-1,-1,-1,-1,859470,67078,511303,-1,802008,-1,922200,-1,-1,869085,-1,-1,-1,770690,-1,371270,826857,-1,-1,-1,-1,614236,-1,43000,289423,-1,-1,708394,326370,-1,-1,-1,451725,-1,-1,-1,-1,-1,355173,-1,-1,949750,-1,-1,808984,326249,921375,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,397960,-1,-1,986347,823949,-1,188476,-1,785325,-1,351686,12018,110409,95920,-1,544882,534459,-1,475341,179060,280500,782428,579161,-1,-1,-1,851455,-1,596268,-1,404629,-1,-1,-1,862476,7181,-1,-1,-1,354970,-1,-1,54413,58632,701492,-1,176844,-1,-1,-1,-1,763203,-1,271993,-1,650375,958055,597942,-1,-1,-1,400832,885584,833392,-1,990093,-1,-1,-1,302662,452878,26367,-1,884226,812358,782019,-1,-1,250626,833516,310349,662056,-1,441003,-1,631049,-1,-1,315662,-1,-1,-1,801107,490291,403371,753032,37344,66713,-1,-1,43723,-1,-1,-1,-1,435907,-1,891381,-1,48909,-1,8483,-1,-1,-1,896749,-1,-1,-1,507814,-1,890432,-1,453241,37325,514807,-1,-1,518705,357723,29042,-1,834549,-1,854424,-1,-1,-1,-1,779174,913025,453577,-1,799839,-1,747449,997968,363015,-1,682810,-1,894306,509023,-1,52217,-1,831455,236034,-1,950609,-1,-1,-1,730835,943180,814482,52196,146726,-1,247042,-1,786595,-1,-1,-1,-1,108235,667885,-1,876361,-1,-1,-1,158144,-1,-1,-1,146630,22116,-1,211376,125548,-1,945414,89755,-1,704918,987952,-1,388817,613543,51833,-1,821710,-1,175422,-1,652004,-1,560416,-1,-1,233227,-1,67442,26902,286667,209581,-1,210210,909950,-1,-1,502590,-1,291133,-1,-1,-1,-1,582440,-1,293559,436113,-1,-1,5997,-1,41453,-1,920821,-1,-1,-1,510200,-1,531764,443801,905268,-1,78767,718744,346372,-1,368993,518094,-1,3917,421522,-1,18742,719546,-1,-1,-1,-1,481290,-1,37821,569451,451456,879822,-1,-1,-1,-1,-1,754419,-1,-1,729135,-1,778028,189585,-1,829326,-1,238367,-1,-1,799039,132242,-1,263084,-1,-1,691533,278521,658534,99835,673997,222490,-1,435098,-1,-1,-1,-1,-1,860926,-1,-1,190014,823503,-1,-1,-1,-1,-1,88833,-1,637813,49107,-1,-1,632261,-1,-1,389600,329855,-1,-1,-1,175959,959123,721826,297069,-1,-1,-1,-1,-1,-1,478210,-1,701541,-1,325182,-1,-1,-1,947009,-1,7139,-1,-1,331865,782772,185160,-1,-1,-1,-1,-1,224307,-1,682627,523586,285492,-1,532850,-1,-1,-1,948913,-1,977414,-1,-1,-1,361786,-1,-1,2459,-1,302345,79944,297130,4139,-1,-1,85000,885915,481714,611838,-1,407641,-1,195790,724052,521325,-1,482534,-1,-1,-1,587499,381254,836430,379042,29375,-1,520920,-1,347364,268673,-1,249055,526681,-1,623460,403367,153027,-1,897382,409319,-1,-1,-1,-1,-1,-1,253968,686269,-1,890764,-1,-1,575923,69396,-1,325236,221154,336686,-1,247023,-1,750964,576110,813460,-1,-1,164625,928166,123784,-1,-1,775528,977103,-1,286970,762729,-1,762894,-1,-1,633233,-1,952209,-1,512139,375063,259067,-1,309680,-1,-1,745839,-1,-1,-1,-1,-1,901629,519344,475137,-1,-1,894096,131169,-1,743629,591221,-1,708969,-1,658511,49371,848220,-1,-1,-1,-1,729148,126124,-1,429823,-1,-1,-1,947007,-1,996576,167434,-1,119802,-1,-1,297803,-1,864392,316109,543187,214687,-1,738067,833812,423014,345196,-1,658206,-1,864522,-1,577639,-1,587863,173210,499932,581931,314858,740854,154414,-1,946725,-1,685581,74013,-1,-1,516905,530188,-1,300527,8719,988533,-1,-1,685230,-1,-1,309873,-1,-1,-1,367968,625333,233446,475908,583910,937939,-1,898584,752615,640307,-1,-1,-1,279711,-1,593689,-1,-1,-1,-1,595819,-1,642022,681808,-1,185150,635462,-1,601357,499048,946983,93165,854304,-1,535885,92625,21476,96412,-1,354185,-1,-1,81629,-1,-1,276535,-1,176122,-1,325250,-1,481569,-1,-1,261028,-1,-1,61753,-1,-1,863298,513279,831058,227242,984224,236699,660674,691322,27522,622475,-1,912332,-1,-1,-1,699973,-1,-1,-1,982443,362258,970749,-1,320746,-1,-1,602169,-1,-1,-1,-1,-1,76186,-1,-1,218403,170386,66420,-1,-1,-1,-1,277495,-1,-1,323288,684262,667147,-1,-1,-1,913052,-1,-1,526360,-1,816257,-1,788909,992115,-1,-1,-1,188344,-1,-1,-1,-1,-1,-1,-1,322505,273994,49675,-1,-1,828449,797466,607257,-1,741290,-1,118541,695949,145614,-1,-1,587747,276936,817745,822624,-1,-1,-1,-1,245879,-1,718723,499833,-1,690895,736965,-1,-1,-1,332129,-1,-1,135515,966880,691357,-1,519840,-1,96291,-1,-1,-1,128077,-1,-1,36830,-1,-1,874273,-1,280356,-1,240669,-1,122957,-1,414780,-1,388238,893674,-1,-1,517247,-1,-1,-1,-1,-1,-1,848801,897426,22125,-1,-1,-1,51873,-1,571060,994743,-1,-1,363636,-1,-1,149209,-1,-1,732014,607492,455015,-1,-1,534799,710875,-1,-1,-1,-1,771931,243742,-1,-1,598883,314084,685558,-1,-1,597723,-1,-1,201338,-1,-1,734907,275973,14331,-1,214380,-1,-1,462171,-1,-1,-1,-1,921606,238808,521220,-1,855719,680276,120936,486354,55288,901008,-1,717938,-1,-1,939904,-1,622779,947733,-1,-1,863438,-1,396634,498791,973815,301908,323204,679388,939653,567356,-1,-1,-1,-1,223873,-1,-1,-1,615171,548018,450397,679469,-1,844766,61975,-1,-1,931471,-1,977606,424001,833762,121571,33731,516557,675119,-1,593476,-1,511263,550067,-1,539071,-1,-1,962032,-1,-1,340334,188896,-1,335650,659288,-1,-1,-1,207394,-1,750221,-1,542140,5639,802924,-1,-1,-1,-1,-1,464478,-1,656244,-1,-1,26646,-1,505042,-1,-1,631994,-1,-1,357668,735515,-1,270178,-1,82818,602568,-1,287107,747390,854033,-1,-1,458874,975080,-1,-1,-1,776951,-1,-1,379618,274765,805369,313445,-1,-1,347791,-1,-1,487421,-1,627657,619239,494425,351181,-1,27100,-1,-1,943988,-1,663228,-1,-1,-1,766246,-1,752012,870460,218085,-1,-1,115943,-1,862495,-1,580725,-1,-1,179460,411494,-1,-1,-1,-1,-1,-1,795681,-1,-1,62389,-1,-1,-1,-1,-1,-1,408159,720462,-1,62735,-1,-1,-1,245587,17549,434752,-1,-1,-1,-1,721638,-1,-1,32481,-1,425080,179745,362840,6908,848072,944098,-1,196629,-1,-1,637273,-1,159690,27414,251286,290469,310985,-1,851153,-1,562674,23555,-1,160440,-1,321177,965946,791701,949103,415712,-1,-1,226277,20836,322184,258015,-1,538664,-1,-1,-1,782669,112466,-1,-1,669989,-1,-1,-1,542331,-1,-1,310466,754746,590981,602653,862768,450884,-1,-1,574629,-1,-1,544967,413059,881238,233801,280040,590433,632356,462426,-1,836762,636877,380553,482022,583340,-1,-1,482778,-1,140542,814937,-1,256545,212830,-1,-1,776428,244157,731284,-1,-1,495557,130705,-1,122746,956016,-1,-1,160264,879552,-1,-1,-1,-1,-1,-1,-1,-1,193487,456089,918381,336864,-1,573779,-1,-1,-1,-1,827051,-1,-1,479354,-1,-1,930503,-1,265248,408011,-1,-1,42428,966764,-1,413390,-1,910440,-1,783205,-1,377473,371725,380255,867220,-1,-1,208336,61094,-1,880533,-1,-1,876319,567564,489890,207429,-1,-1,-1,57537,336650,269468,262383,173237,374673,-1,510204,-1,-1,140397,985687,-1,42141,771913,-1,778802,-1,-1,209829,-1,481489,-1,258272,397179,-1,-1,929341,64786,322027,-1,652385,641036,445472,-1,78237,51700,-1,851267,-1,55781,933564,-1,480009,-1,-1,-1,833023,-1,-1,409639,893365,517471,163787,-1,972662,-1,-1,-1,-1,147120,216695,35746,838088,997771,985653,813036,-1,413773,504899,-1,-1,44800,745495,-1,-1,106298,416201,566058,311205,985409,307944,-1,-1,-1,852592,781236,670350,-1,852187,289489,464679,-1,-1,-1,-1,-1,694075,451962,883490,222461,-1,-1,834371,852137,-1,-1,936002,354404,6784,-1,665103,-1,282007,214418,975123,-1,-1,760956,-1,-1,-1,234746,-1,-1,362024,601243,-1,896363,827222,668648,580164,-1,-1,836172,213502,-1,-1,3756,-1,584831,-1,-1,326036,210321,-1,868620,929446,-1,-1,-1,781502,322369,493648,695638,-1,546588,208660,276885,-1,192287,-1,-1,-1,535888,-1,404505,-1,-1,115394,380899,815644,971794,262237,-1,629118,575884,125757,-1,-1,235310,-1,-1,-1,684835,-1,706871,-1,509407,929386,790832,892596,630054,517611,-1,519683,129059,-1,537,222447,395321,639114,350125,455966,35497,-1,833423,940274,-1,-1,-1,351922,-1,578548,129967,668706,858571,971043,677268,-1,-1,-1,-1,502487,965358,674129,277902,415674,-1,-1,-1,714351,-1,846672,830207,681453,-1,-1,-1,406575,-1,-1,-1,-1,-1,-1,-1,-1,-1,334203,-1,-1,-1,-1,-1,-1,25506,450618,86388,127001,748996,783876,830392,-1,-1,164478,-1,-1,-1,286569,15005,224179,-1,403401,-1,322999,-1,594470,535475,-1,885058,-1,219595,-1,948190,764946,-1,-1,-1,309618,519395,642723,586890,-1,-1,154201,148067,468047,5230,-1,450142,-1,-1,914403,-1,149448,-1,-1,407912,-1,141304,-1,-1,142364,-1,940629,933365,-1,-1,-1,-1,429199,-1,109521,507764,-1,-1,300149,494648,842845,541179,-1,-1,605613,12812,-1,-1,144564,-1,316833,898839,-1,-1,-1,286782,-1,422273,136456,167967,454708,-1,-1,-1,-1,-1,-1,589897,629946,624714,140350,490005,-1,-1,-1,718996,-1,225478,473883,-1,-1,638483,676063,-1,515194,574908,793798,871637,-1,-1,226085,-1,584154,-1,-1,725169,69836,198817,-1,-1,340037,-1,935106,446260,-1,104556,473548,546471,-1,656150,288809,461398,-1,993917,679678,-1,-1,-1,279131,-1,496538,16959,362656,825289,-1,-1,-1,-1,116601,-1,-1,444720,526573,429027,435846,-1,346709,-1,-1,-1,-1,-1,-1,638598,264357,482738,324741,-1,60392,-1,353616,475828,619935,-1,-1,-1,-1,-1,185068,-1,-1,-1,-1,376438,-1,-1,-1,-1,589768,106570,110367,363612,-1,-1,958502,-1,264874,632696,-1,-1,-1,-1,190708,820669,-1,217124,946987,918710,309904,318399,-1,-1,-1,-1,972500,-1,-1,503120,-1,-1,455111,809647,-1,-1,-1,213213,964553,-1,218203,-1,-1,26761,-1,-1,120927,-1,-1,118767,-1,153018,-1,551710,857185,-1,-1,759434,275022,-1,195572,369979,8411,-1,620497,-1,-1,-1,-1,-1,-1,624256,-1,-1,-1,335505,-1,-1,-1,698443,141341,-1,404545,964431,-1,-1,665030,481821,493549,43846,-1,578285,426107,-1,71715,-1,344734,-1,-1,955646,-1,494105,959850,-1,701997,814068,-1,92721,-1,12237,-1,788561,306642,-1,223557,444923,381109,-1,-1,-1,-1,-1,-1,-1,-1,-1,348120,714610,501964,441759,-1,679702,-1,792179,-1,126969,512685,561117,-1,-1,131298,-1,846054,627992,711644,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,194133,-1,-1,28004,972561,860100,467371,-1,-1,431662,-1,157040,-1,434386,915213,645721,-1,120085,-1,-1,783362,30344,828989,-1,-1,425604,791710,966257,-1,-1,-1,-1,971460,-1,172817,663717,-1,477430,259689,-1,-1,494488,685034,458151,-1,612480,-1,-1,-1,312978,27927,153212,316383,164187,16981,647188,312557,-1,806064,623408,-1,-1,-1,711716,214,-1,-1,-1,-1,477506,906813,-1,346965,-1,-1,205588,124537,-1,-1,134033,-1,910155,-1,908662,-1,805603,-1,27672,502271,-1,918758,-1,80241,404107,12619,-1,-1,521638,851607,478828,264724,370135,-1,311449,-1,237196,561002,400903,-1,278952,785523,-1,-1,-1,639906,-1,-1,-1,-1,-1,-1,67873,-1,103694,585047,40296,674224,-1,-1,-1,-1,-1,778753,-1,-1,655291,-1,923408,-1,625755,-1,-1,785667,373728,-1,-1,355845,-1,246110,-1,329859,-1,-1,-1,327805,-1,676459,-1,-1,-1,-1,-1,329864,-1,-1,800658,-1,150785,922915,161136,954918,-1,238843,-1,840867,-1,29567,-1,544751,-1,600058,715579,-1,858162,781306,-1,32069,640113,-1,781723,69074,607444,-1,-1,157723,-1,932428,846058,-1,-1,826755,195438,955352,959540,24467,638758,301384,-1,-1,-1,-1,-1,-1,-1,430856,-1,-1,827423,325342,60333,-1,-1,594886,197282,-1,-1,-1,62521,-1,-1,-1,-1,122069,-1,-1,393903,-1,-1,200699,-1,927312,-1,323603,-1,773714,-1,-1,824063,253213,-1,-1,-1,-1,570378,-1,-1,436003,137935,66513,525171,-1,605475,-1,-1,-1,393301,-1,652109,-1,720328,-1,-1,222307,-1,624577,171195,-1,-1,566319,-1,-1,280992,584957,729827,-1,829007,797937,181673,359890,53545,525800,15774,-1,563056,-1,417773,-1,369864,-1,941436,-1,228650,121099,449758,321463,460572,272647,346916,714505,332641,-1,-1,379893,748708,264803,-1,-1,-1,663541,-1,602397,-1,183557,87486,326691,-1,-1,284990,-1,257577,76231,922240,-1,-1,-1,535766,517955,161729,270996,-1,-1,655243,-1,770552,-1,-1,359220,-1,287311,473611,267177,639926,-1,35940,-1,-1,-1,475181,72643,799792,-1,-1,344700,-1,294897,401366,-1,-1,157263,-1,-1,-1,-1,-1,-1,-1,-1,586370,789187,317341,-1,-1,880236,-1,-1,-1,301073,544572,-1,690322,760333,20177,-1,717789,853383,155399,-1,571414,968216,-1,522975,732158,225850,-1,170834,392435,36044,930724,-1,-1,268406,-1,-1,456127,55278,823445,901309,890530,761566,-1,-1,490599,455088,-1,98905,909211,170966,688833,-1,-1,-1,573539,596445,377697,453144,693999,203995,452621,267154,742143,545423,364183,-1,-1,-1,-1,343719,32615,635467,786473,-1,-1,-1,245186,657331,-1,778380,169806,-1,-1,-1,230888,130272,-1,-1,366445,-1,145457,404707,339874,-1,-1,-1,-1,383418,816375,351139,622852,-1,-1,-1,802766,877606,17887,85251,-1,954032,106527,-1,-1,797398,-1,-1,-1,619630,860925,758278,-1,-1,767588,277269,-1,-1,-1,463461,-1,-1,-1,-1,-1,427064,570466,-1,-1,-1,-1,560619,-1,175734,154167,-1,-1,280937,886193,963978,-1,461565,-1,-1,238331,-1,-1,-1,262761,35501,-1,-1,-1,-1,-1,-1,53662,-1,-1,906925,525308,881957,-1,-1,718889,695481,-1,436803,657824,197658,-1,730479,566741,-1,-1,-1,-1,440917,-1,-1,412967,198830,282010,543390,-1,-1,-1,-1,-1,-1,55972,111771,-1,273447,-1,843168,-1,-1,305838,-1,298238,-1,616973,-1,-1,-1,-1,220225,-1,-1,-1,564213,-1,318175,-1,-1,-1,-1,392437,638770,-1,162220,701813,104067,-1,-1,-1,117241,401135,-1,-1,596036,-1,817164,-1,-1,-1,-1,-1,-1,-1,889141,-1,-1,-1,212060,-1,-1,164639,-1,-1,-1,761861,646770,772740,492111,-1,647467,-1,780006,-1,823507,369113,788660,796361,-1,127943,-1,-1,780763,-1,-1,-1,-1,330672,809998,-1,211344,45116,106438,-1,801473,-1,-1,-1,-1,-1,-1,570297,251500,349025,448267,793930,371427,-1,875298,467886,456008,-1,-1,-1,-1,-1,-1,170291,-1,90826,152918,-1,241291,-1,-1,-1,349744,-1,-1,571326,808642,-1,-1,406711,158834,685115,-1,-1,-1,-1,427073,731989,-1,334319,301978,975689,946321,-1,-1,-1,-1,-1,-1,378478,828839,-1,767436,734592,96547,-1,-1,-1,405769,-1,477396,-1,-1,993252,-1,125151,-1,-1,-1,205025,-1,-1,696039,-1,-1,-1,80267,-1,-1,-1,563166,-1,-1,-1,518140,-1,120088,-1,-1,-1,598559,320281,-1,590106,-1,-1,-1,-1,674455,-1,342626,-1,207988,-1,870847,204561,-1,139236,-1,-1,-1,-1,-1,990531,-1,-1,119141,-1,81094,321949,61121,-1,-1,596914,-1,-1,972322,146553,-1,642949,833931,745794,54294,-1,-1,-1,803488,323780,574218,-1,211926,-1,963688,499361,37321,144062,380242,-1,753686,922526,913526,-1,245496,503666,897885,-1,143537,734369,466513,382188,16757,791581,-1,-1,386021,791811,840478,-1,783662,-1,-1,-1,-1,-1,-1,-1,227199,193037,-1,-1,-1,-1,-1,938814,-1,-1,-1,769840,-1,593960,-1,-1,245841,822389,570635,-1,-1,982114,-1,952473,-1,-1,153227,604288,652861,-1,512339,387035,709025,-1,-1,221140,855263,-1,-1,-1,413875,506408,231265,301765,-1,38325,160231,622007,-1,782167,-1,415842,531756,-1,-1,340556,144007,-1,-1,284830,-1,259200,598237,73032,-1,913178,161987,-1,998462,822428,144822,279244,-1,513008,697218,-1,-1,888788,71228,-1,313477,379433,632784,-1,-1,-1,-1,190534,686177,515292,-1,17647,683901,-1,614193,-1,953769,473503,25804,-1,-1,-1,961686,172140,256355,-1,-1,252254,84923,54837,712416,-1,-1,-1,-1,-1,-1,-1,-1,-1,186680,601568,-1,591271,566909,918386,-1,-1,795259,-1,-1,191112,-1,-1,-1,-1,988787,-1,-1,558446,596555,-1,586898,338019,268935,-1,-1,-1,-1,-1,512158,27612,-1,449283,-1,-1,-1,-1,-1,-1,-1,789676,348171,406459,803183,531358,726737,-1,946569,916665,-1,-1,277084,-1,399077,-1,795959,412241,858991,724425,139310,366598,469085,-1,-1,102041,232472,756277,473319,-1,-1,568967,62311,-1,-1,850527,587693,-1,362936,-1,-1,22532,731535,71793,-1,-1,198658,317367,-1,-1,-1,-1,985419,-1,898636,871992,310945,658865,981864,544458,706218,-1,904099,36279,-1,835158,651297,-1,-1,499312,-1,-1,561127,-1,396387,-1,-1,490895,-1,610836,671872,-1,-1,699114,-1,-1,-1,-1,-1,666714,-1,646194,-1,-1,688869,694680,-1,972534,829735,-1,475576,-1,703008,987176,-1,-1,-1,-1,62751,-1,-1,-1,-1,-1,295915,-1,-1,258251,-1,274979,-1,-1,-1,634159,-1,-1,164787,-1,211739,625850,648213,878799,736277,10482,-1,567882,-1,488225,-1,-1,-1,356066,692182,-1,-1,-1,337243,-1,-1,-1,-1,72130,-1,-1,377033,-1,484455,302876,-1,88560,720978,305342,-1,891065,-1,736109,493841,-1,-1,-1,-1,-1,40848,-1,-1,435744,-1,-1,-1,32904,-1,406125,-1,-1,446851,-1,-1,175845,-1,93740,434228,330553,-1,-1,-1,490306,-1,-1,927557,943860,-1,-1,-1,294286,-1,-1,-1,-1,222245,-1,300967,-1,121476,449397,619161,968652,-1,-1,-1,339280,-1,-1,866313,-1,438195,-1,22369,27191,-1,497928,-1,66442,468818,-1,556380,53566,682041,-1,40392,167676,845968,426682,-1,-1,583212,485726,871248,376731,-1,954152,981811,326711,677081,-1,477563,444084,804716,-1,873059,404241,-1,56656,-1,928800,-1,464662,-1,861711,-1,542266,199097,-1,323310,-1,833993,-1,-1,184082,312221,441198,245483,644374,-1,-1,417693,698627,815168,-1,662712,-1,-1,734253,-1,721816,-1,-1,227112,49618,548059,-1,-1,534989,54255,384626,-1,-1,45020,429963,265753,-1,557801,-1,840176,-1,355057,-1,888620,-1,-1,-1,39877,-1,-1,-1,243087,-1,755180,376224,912963,-1,-1,734138,-1,547352,-1,-1,596444,652399,341578,257280,-1,-1,704024,555735,-1,956142,885551,94554,-1,88877,117788,649601,985313,-1,-1,-1,289403,-1,-1,684304,399969,-1,-1,-1,-1,-1,-1,24722,656763,-1,68050,642930,-1,954026,315570,-1,-1,-1,-1,902069,978584,-1,-1,-1,636981,716935,899095,-1,47903,614433,177990,-1,-1,863840,-1,-1,-1,988011,810864,-1,-1,720652,-1,-1,-1,342482,951499,528265,24375,-1,-1,-1,150172,-1,447879,-1,-1,444838,734461,-1,-1,166236,125044,-1,834072,805490,67260,-1,603131,-1,-1,-1,-1,-1,-1,975879,-1,-1,862536,-1,266795,7018,904131,-1,451044,-1,754759,36869,950437,-1,-1,287723,-1,-1,-1,569327,-1,686257,-1,749971,-1,-1,517672,902663,838409,298274,-1,-1,271834,-1,477071,-1,-1,742342,907275,-1,740359,441338,629317,767906,-1,52981,-1,-1,816337,270847,193351,800616,937348,369026,90860,-1,720469,725879,-1,-1,617144,463761,880147,858523,611067,573687,-1,363567,568943,550362,431298,-1,-1,-1,-1,-1,-1,620827,179470,-1,-1,548060,845740,184027,-1,343233,538337,-1,63639,595373,-1,977293,18533,487587,-1,395742,575331,-1,377069,-1,347557,-1,801376,863990,41980,80357,833729,-1,733407,545829,-1,-1,148657,795113,280918,-1,-1,-1,-1,897821,-1,974677,-1,898608,308362,-1,-1,426056,-1,-1,-1,-1,314819,-1,-1,-1,530820,790071,-1,770491,-1,176090,75169,-1,-1,175518,-1,102621,-1,-1,617986,-1,-1,-1,277274,5320,843497,638566,-1,304855,968100,-1,-1,-1,277286,-1,118231,-1,-1,45776,-1,591109,599798,-1,-1,-1,765785,237080,-1,859926,-1,-1,390647,196407,694234,891185,577382,431171,454808,363202,770326,101088,-1,-1,-1,327278,886637,-1,-1,-1,-1,-1,-1,-1,-1,-1,510581,-1,519910,-1,182856,241911,326640,907374,219723,498547,-1,850141,-1,885840,833602,-1,578668,-1,-1,-1,-1,-1,-1,-1,518071,863096,-1,61446,233633,-1,749621,647649,64867,303797,-1,686514,-1,-1,-1,-1,-1,-1,72472,146868,-1,-1,386947,685035,-1,-1,-1,-1,482042,822801,-1,706661,-1,-1,628668,-1,-1,241780,-1,350615,739713,156747,559051,-1,60769,-1,653252,-1,375394,-1,800750,-1,973686,653141,-1,-1,-1,-1,368341,-1,-1,-1,-1,-1,507888,71476,-1,-1,-1,-1,-1,-1,-1,800982,760750,-1,846327,315926,272515,798401,453792,179150,979457,382142,876071,-1,-1,-1,-1,-1,-1,-1,554127,-1,-1,-1,-1,374029,537530,-1,-1,763474,-1,-1,-1,-1,721623,-1,-1,-1,55767,-1,-1,-1,-1,105759,-1,-1,-1,-1,-1,-1,-1,-1,216519,602582,755736,779645,679754,-1,947693,-1,663485,-1,-1,-1,-1,99710,451329,206898,-1,-1,-1,628385,-1,-1,490152,-1,-1,-1,561514,943460,-1,-1,-1,520514,120705,633193,139948,-1,552911,-1,53323,-1,246106,882896,-1,-1,-1,-1,-1,974351,929618,617361,825809,-1,400719,-1,733178,-1,31216,891817,-1,657890,-1,-1,-1,-1,-1,116856,265042,-1,724179,933200,488989,-1,-1,872941,-1,558237,-1,689968,543807,490103,183155,220354,691160,523887,784788,310059,-1,326658,-1,935547,566997,-1,161020,421488,-1,-1,304793,536325,473965,925761,409825,887366,-1,656813,364344,487135,31339,-1,273213,-1,-1,-1,-1,-1,-1,-1,447752,789716,-1,214655,229428,-1,-1,-1,407923,-1,106143,918871,-1,-1,-1,19911,394409,-1,318074,358902,456741,-1,336186,413660,-1,434556,406036,-1,467998,270861,470715,-1,-1,-1,691630,514892,-1,526918,920134,-1,751245,679914,-1,418037,246703,-1,967612,949317,639406,913668,621491,143252,-1,-1,810014,26359,769559,-1,529279,977196,110728,-1,-1,-1,-1,-1,648883,-1,-1,669216,33834,903931,67587,-1,-1,527023,775977,-1,-1,36632,-1,261581,-1,-1,101228,633677,143154,-1,-1,983184,377376,936038,55608,-1,167541,360696,-1,-1,-1,-1,-1,873816,-1,972837,-1,733579,-1,-1,601110,-1,178209,-1,-1,-1,756282,908635,602082,-1,957728,462573,-1,665955,400841,641008,705760,-1,-1,-1,931211,525726,384716,-1,-1,287836,-1,428420,35795,-1,-1,200480,218767,-1,-1,343756,907942,-1,86970,455496,-1,722800,449805,-1,260635,-1,-1,-1,19485,874507,-1,-1,-1,-1,68575,-1,449276,63069,-1,-1,-1,467236,-1,-1,584241,-1,-1,681474,270520,-1,458149,788581,-1,311992,732673,330258,-1,671986,87797,-1,905422,4169,312735,578867,509733,779097,208265,437536,23655,850742,-1,399878,-1,797894,670794,235829,794106,-1,-1,107278,722348,-1,98577,-1,387680,545290,-1,-1,85696,-1,187344,680259,-1,134510,-1,-1,-1,-1,96826,-1,25322,-1,830201,675159,-1,671165,-1,202501,619249,663855,538649,257163,-1,-1,-1,-1,-1,323341,267270,54907,349732,462959,-1,235962,-1,936805,952526,574429,-1,631187,95320,524375,690648,862884,319072,-1,-1,46441,70893,-1,746280,411429,220600,489325,760735,318219,-1,161238,-1,-1,69776,527642,-1,714322,-1,311378,-1,-1,-1,124887,349231,881768,608375,942801,639299,-1,807791,936185,-1,-1,-1,689198,-1,-1,-1,921736,-1,290039,646766,674643,305971,928041,-1,-1,-1,993932,-1,-1,442381,373744,-1,-1,958147,790697,-1,357069,964095,-1,-1,374530,-1,618830,399171,723727,367901,781560,-1,776507,-1,170851,720160,255657,681824,-1,16993,392596,-1,-1,-1,-1,105894,-1,-1,225874,-1,-1,389619,-1,260854,47722,650661,-1,759576,-1,564921,-1,407549,852668,-1,429257,-1,-1,896332,-1,207911,60870,924810,-1,398306,85491,-1,411341,733524,-1,603640,-1,242837,-1,-1,-1,764322,688752,693028,678869,-1,727202,-1,-1,-1,-1,-1,415994,407007,-1,85626,256934,451165,803970,-1,-1,-1,241989,710784,-1,10678,-1,-1,-1,-1,331089,-1,-1,-1,855745,-1,414478,-1,621865,-1,-1,263146,354111,-1,564355,821874,-1,266587,-1,-1,-1,484567,-1,-1,-1,452340,823306,-1,40643,-1,479023,-1,-1,-1,-1,-1,946673,-1,42246,-1,249120,-1,-1,124545,118394,-1,377655,552851,509503,-1,524469,188033,367143,980955,-1,279497,-1,-1,388411,-1,990303,-1,-1,-1,827829,877995,-1,23153,-1,514144,949394,667957,914547,-1,-1,87009,-1,-1,121691,55827,-1,739626,66816,705378,156915,742265,-1,981291,225791,502098,-1,-1,-1,-1,-1,200240,445671,767183,-1,-1,286380,-1,-1,-1,-1,-1,268317,-1,-1,-1,317837,-1,503917,120050,-1,-1,-1,-1,594172,-1,196348,768977,579175,969630,-1,725271,-1,729962,855543,-1,-1,356448,-1,424042,-1,839336,-1,-1,-1,776755,300130,214132,-1,886847,-1,913591,555760,769523,546871,-1,543412,186636,-1,-1,50981,883191,-1,173524,814858,860521,-1,317167,450363,245241,-1,-1,142862,231197,-1,-1,782897,-1,833666,-1,224113,-1,-1,446,703345,543929,-1,-1,-1,415289,-1,75836,256763,-1,313602,841376,-1,-1,761635,-1,-1,318564,-1,680650,482074,-1,-1,680958,380792,873254,157486,-1,282013,-1,465643,-1,-1,616942,-1,953508,87887,81503,236271,204345,895606,-1,686359,-1,42360,478147,889031,751946,513854,-1,82185,-1,355381,930677,572161,-1,-1,-1,-1,518519,803474,999617,-1,613781,-1,801153,177047,280543,-1,508181,7031,-1,19279,889979,-1,869179,-1,862324,-1,748601,353664,155722,-1,187588,862225,338817,299491,169013,283162,-1,-1,-1,-1,-1,54740,196047,596098,682885,390887,215430,-1,-1,933697,539891,-1,-1,-1,697925,-1,513852,-1,86428,-1,-1,-1,565168,-1,831530,-1,547280,-1,614847,533015,311016,-1,613215,129494,343490,-1,-1,358072,-1,-1,26123,-1,42943,-1,-1,-1,296739,850584,559191,64953,617735,438729,376324,-1,-1,-1,-1,-1,742800,-1,-1,-1,186489,-1,806848,-1,-1,685620,-1,892987,-1,-1,544159,-1,-1,685658,311720,-1,-1,812973,-1,769114,-1,-1,-1,718181,149641,-1,1828,-1,-1,-1,-1,493699,579406,-1,-1,937723,-1,-1,-1,-1,-1,-1,239833,-1,-1,523222,421225,946216,-1,297554,767802,768297,-1,-1,191577,-1,-1,247429,440295,540271,542013,-1,323613,-1,827991,-1,531860,785755,347298,-1,-1,376640,-1,-1,-1,-1,288704,-1,-1,265294,895549,-1,-1,-1,1580,152534,-1,-1,-1,-1,-1,17729,269473,-1,711181,207791,557840,-1,-1,-1,98675,-1,-1,275723,957934,742428,-1,550085,707490,-1,633319,909484,917895,-1,-1,985902,-1,-1,-1,-1,265483,-1,472301,-1,166082,95973,-1,831423,-1,-1,154037,-1,-1,520361,905458,165418,-1,-1,-1,-1,-1,774007,-1,701734,-1,-1,-1,-1,-1,235929,664723,389101,895002,-1,-1,-1,429679,725179,-1,-1,733902,-1,-1,-1,616478,-1,426559,-1,-1,175931,-1,-1,-1,-1,478279,-1,187941,-1,-1,-1,-1,355019,-1,-1,-1,-1,-1,-1,430524,-1,-1,188827,-1,-1,-1,-1,873109,-1,101851,-1,-1,136742,986572,742276,417951,-1,964132,410633,691418,940127,268848,-1,341349,-1,322621,400776,622054,-1,-1,-1,-1,967420,807484,679533,-1,619795,-1,73862,-1,-1,799813,179957,-1,129040,-1,-1,847264,-1,457655,-1,-1,925501,-1,133293,521294,-1,-1,-1,100707,-1,114995,-1,-1,341482,-1,-1,-1,153723,48121,-1,-1,342319,-1,-1,292413,86087,-1,358549,411788,881231,96138,871425,362863,-1,223915,646738,741492,-1,281816,870763,-1,256114,875537,748358,852506,-1,475202,666177,-1,-1,401423,125496,-1,843761,-1,89153,638333,-1,-1,-1,253788,984152,-1,-1,-1,879943,206957,749009,846915,-1,774315,612419,981522,945137,-1,-1,475396,436330,-1,807059,-1,-1,-1,657199,-1,-1,-1,384158,-1,498570,772509,227509,-1,79689,569633,-1,-1,454680,-1,689020,907294,139297,-1,919941,-1,-1,261276,207680,-1,901347,387881,974768,-1,-1,583756,763469,447938,-1,-1,-1,-1,402735,-1,-1,-1,-1,431151,-1,-1,-1,-1,-1,275702,62240,-1,-1,124653,-1,717354,727951,-1,841202,-1,-1,-1,860776,-1,938418,877363,-1,263618,280086,-1,-1,63935,-1,882658,678114,866823,-1,982835,-1,524032,293909,-1,447663,819773,831469,-1,-1,-1,-1,761743,-1,-1,372564,497334,-1,68607,588338,91630,-1,274886,116467,492655,704048,140360,769827,-1,-1,-1,-1,-1,743419,346867,-1,-1,487997,-1,-1,-1,869181,792944,430108,997202,531956,-1,-1,-1,-1,172268,552183,-1,481950,876239,911175,-1,723390,-1,742110,488206,885383,-1,-1,-1,755518,600694,690213,84713,77816,753854,416853,568761,-1,439099,-1,-1,553728,463417,-1,-1,536964,354451,261505,-1,-1,420065,-1,-1,18314,-1,959856,-1,-1,60777,-1,404507,-1,276498,-1,352006,623204,44884,883025,-1,-1,-1,163644,-1,916967,712851,-1,295820,-1,744110,969536,-1,570389,-1,789131,706395,456311,-1,-1,156786,-1,791496,61432,-1,411856,-1,210953,895713,14109,-1,-1,147361,-1,790101,955758,912482,528237,-1,378591,-1,462922,-1,-1,227417,-1,52154,-1,532699,-1,-1,-1,758464,-1,924080,781600,-1,-1,412719,-1,984863,373185,-1,-1,519874,-1,200342,-1,-1,569410,-1,-1,-1,-1,687260,99937,-1,-1,641327,-1,45472,-1,-1,-1,-1,-1,-1,-1,594876,-1,631270,938994,-1,-1,64891,516073,881523,403578,-1,414083,-1,-1,391691,-1,-1,-1,-1,546611,396421,-1,-1,247587,246686,91715,554810,134397,-1,401722,580647,-1,41384,-1,974029,-1,-1,-1,-1,913143,-1,-1,827746,-1,488984,955622,132830,-1,883560,700091,-1,-1,-1,-1,-1,-1,817938,550538,-1,-1,-1,736199,-1,-1,-1,683366,998061,-1,751669,-1,108380,771203,-1,337288,-1,764544,-1,-1,41136,-1,146713,256316,-1,-1,9135,-1,14587,-1,624373,-1,174560,-1,146938,-1,735755,-1,579144,-1,829724,-1,665659,-1,101362,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,111094,860341,96863,604664,3791,-1,176781,159405,-1,-1,725578,385019,843280,-1,624240,900966,-1,704838,309165,-1,-1,-1,7526,-1,-1,-1,-1,858810,239265,-1,860371,389971,-1,-1,-1,-1,-1,-1,-1,274936,801652,-1,-1,108916,-1,-1,689896,176177,421997,447088,74618,412391,465560,-1,857703,18666,399806,491923,377871,-1,-1,-1,-1,-1,-1,99159,-1,-1,-1,815822,446644,-1,377511,627649,-1,325613,53966,-1,-1,-1,-1,-1,-1,-1,549109,-1,-1,158310,604629,-1,64880,-1,-1,-1,-1,-1,384415,530709,559961,-1,-1,144449,-1,-1,973174,-1,561044,-1,-1,-1,-1,-1,-1,-1,-1,857923,438331,-1,370077,-1,-1,-1,780152,-1,-1,-1,207185,629544,-1,-1,842833,840944,78391,235564,459916,620584,-1,-1,651625,592399,596696,-1,355907,-1,95041,255232,859135,-1,313921,75189,344341,224489,723440,-1,-1,-1,12156,657020,-1,51714,-1,-1,186051,-1,483921,549269,-1,-1,-1,383560,998948,-1,266036,-1,782301,-1,929783,-1,-1,-1,-1,64301,-1,68207,-1,-1,219800,19255,-1,-1,92251,677493,123076,802506,193821,-1,45100,155301,-1,711307,-1,-1,-1,391534,139363,824301,226565,-1,-1,-1,415843,803497,-1,668423,-1,589490,315092,-1,983749,538799,-1,467831,471772,516174,-1,840763,403064,-1,669554,-1,-1,395147,-1,148026,874011,-1,-1,-1,758894,-1,-1,275181,956423,550943,-1,967036,193707,-1,-1,808231,640453,-1,-1,57643,37641,-1,-1,-1,-1,-1,-1,-1,324756,572744,-1,-1,554223,662290,218655,-1,-1,-1,314403,369427,-1,-1,-1,406643,211907,-1,28443,142496,557971,-1,346112,428768,467375,-1,175891,982693,207351,-1,525006,-1,-1,-1,866903,-1,6492,-1,-1,-1,381664,11046,202945,570525,360022,-1,613193,20854,-1,168967,-1,-1,964373,940870,-1,-1,-1,901739,40758,-1,886479,-1,-1,-1,902063,848394,650533,206277,-1,244872,-1,789835,-1,-1,938172,231439,497575,607158,653809,777010,-1,-1,886516,-1,202793,-1,671180,615483,566314,226270,-1,-1,764448,330399,-1,-1,-1,625637,154200,-1,80629,-1,-1,-1,430326,-1,938391,-1,65776,-1,951236,-1,-1,815676,817612,699523,276495,828112,-1,769281,-1,39302,-1,76068,-1,-1,-1,-1,481738,241302,96938,664775,740987,-1,741143,-1,548842,804892,532254,352206,-1,115924,2062,-1,-1,-1,424699,581946,-1,-1,-1,-1,-1,676170,-1,-1,581811,-1,-1,956950,-1,-1,333737,-1,775335,-1,466838,-1,440406,-1,-1,-1,-1,-1,-1,-1,569427,580800,767836,187886,-1,636899,873814,-1,583836,-1,-1,821773,196339,-1,219525,468680,775325,-1,829222,582777,224044,-1,474581,-1,875407,-1,259641,-1,-1,985665,-1,509284,866133,-1,-1,-1,278705,938542,735275,-1,215129,-1,823551,932934,407055,-1,-1,441471,-1,980521,228054,724496,534266,985267,-1,-1,-1,-1,372083,699439,931067,24965,76042,-1,98721,804169,34694,244390,525414,917267,-1,982819,-1,357846,175413,499639,928895,-1,122883,-1,731661,195920,868069,535124,-1,528882,-1,152798,-1,959690,-1,-1,182073,149126,347536,775389,528326,-1,-1,288837,36756,-1,867839,-1,-1,-1,437886,-1,534037,-1,-1,714206,111036,417291,-1,737976,477176,-1,-1,-1,-1,-1,243622,614646,-1,770108,438468,45402,-1,-1,-1,441976,-1,314406,-1,-1,-1,576292,366657,707792,-1,-1,-1,-1,-1,970872,-1,717553,163491,-1,349179,577649,710215,337702,595940,-1,-1,-1,-1,-1,-1,-1,350085,-1,-1,731411,-1,148878,-1,728493,556934,-1,-1,-1,61624,475288,-1,-1,363331,-1,-1,-1,816318,63338,-1,-1,-1,696116,-1,531254,569215,377141,106517,79808,-1,876058,739950,-1,906697,-1,-1,236959,40019,53508,-1,653941,101554,175728,713016,488689,305301,148108,935329,-1,88642,-1,-1,-1,257544,514962,921149,-1,-1,-1,-1,993614,437744,-1,600899,600455,264719,-1,381369,-1,544018,-1,824623,-1,-1,-1,-1,479635,-1,899866,215925,-1,-1,659198,-1,881031,-1,512208,-1,604228,653400,438286,875485,-1,403543,-1,-1,217929,779935,684782,-1,405528,856106,-1,-1,-1,-1,-1,-1,537575,-1,859125,664969,874587,436059,843204,621550,-1,-1,927500,122875,600008,-1,952153,587756,978758,802675,20215,-1,-1,139772,-1,727301,52959,393578,-1,945384,-1,740012,642779,-1,-1,386702,651115,-1,-1,-1,-1,-1,416240,-1,-1,149871,418011,748014,426871,132753,-1,348103,-1,866151,-1,474795,-1,-1,947483,823954,-1,-1,-1,245073,-1,-1,832625,946583,-1,-1,-1,332007,258629,191179,-1,930071,989479,564716,-1,-1,-1,-1,945160,-1,-1,-1,-1,409161,-1,477105,-1,-1,-1,853157,941530,431062,529200,724298,-1,105530,-1,937494,-1,-1,-1,-1,872754,893176,-1,-1,519508,390385,-1,-1,-1,431217,-1,-1,-1,-1,-1,-1,178276,-1,373117,-1,475978,-1,737232,-1,729853,177505,-1,390774,828034,430162,880681,609249,738644,596544,-1,-1,-1,-1,945514,-1,-1,-1,18136,-1,-1,662937,-1,-1,855729,712975,-1,-1,977604,580641,446446,-1,-1,476936,-1,629045,-1,526261,-1,519583,152081,-1,-1,215344,-1,-1,-1,554035,450508,455387,-1,641184,-1,66761,-1,654995,958992,931760,287410,289553,598041,67806,47402,367213,213827,-1,434433,-1,-1,50738,417786,-1,135426,58229,786359,211908,-1,195916,-1,860699,12717,-1,821058,-1,416393,3742,630519,692448,981276,998860,-1,-1,948784,-1,-1,792262,-1,-1,181822,-1,-1,415212,208618,79098,477469,636470,-1,905190,-1,439567,-1,362430,-1,-1,-1,-1,253098,-1,189849,858765,153035,350449,142450,703036,-1,-1,-1,503766,-1,-1,234035,-1,775591,-1,-1,33028,453037,-1,-1,-1,-1,-1,-1,277064,-1,178028,-1,-1,668482,-1,47992,-1,-1,-1,22951,224533,-1,668260,645329,484879,-1,41804,976677,293398,-1,-1,-1,-1,709834,-1,-1,267717,-1,640236,568730,-1,-1,-1,-1,14718,-1,889703,-1,368978,413428,430913,378978,-1,-1,877724,-1,-1,-1,510168,-1,-1,932573,107829,-1,-1,-1,894593,-1,817947,849009,-1,372828,164899,-1,94328,-1,-1,313214,71254,-1,489185,-1,570005,132390,-1,982213,-1,421372,764125,475950,297610,176086,354271,71691,73945,505239,-1,-1,-1,174074,-1,78222,814412,419161,245675,-1,-1,597998,-1,-1,899802,-1,989109,497752,-1,451141,557883,978675,-1,-1,555091,-1,-1,135123,149589,-1,66484,344050,800788,326502,-1,451928,-1,495800,319811,364291,636592,-1,242159,678493,-1,-1,380643,-1,-1,138664,-1,434962,-1,-1,-1,385744,-1,-1,-1,447379,-1,-1,-1,-1,-1,429951,129990,-1,-1,-1,-1,583548,18938,707755,762368,76876,100461,956393,-1,964890,372324,-1,-1,857510,676044,139105,-1,-1,-1,576374,-1,-1,-1,59831,524684,-1,-1,-1,-1,256306,335568,-1,326945,334949,-1,-1,-1,491090,-1,-1,-1,-1,-1,-1,402091,-1,-1,-1,277791,992003,-1,863518,-1,-1,-1,-1,805079,431670,-1,33833,-1,202413,296836,812004,-1,-1,834309,-1,98115,953451,-1,108945,447043,-1,665339,92390,797850,345524,-1,579018,-1,-1,861445,-1,534031,-1,79637,-1,-1,-1,725837,-1,636392,-1,-1,-1,-1,-1,374803,-1,-1,872351,782022,677109,-1,-1,-1,166506,-1,863467,-1,-1,259972,944126,430338,847428,473749,581789,-1,-1,49537,-1,-1,261939,584306,-1,281943,-1,145058,699506,-1,-1,-1,-1,-1,-1,-1,-1,-1,72721,-1,-1,-1,207020,147809,-1,-1,-1,287795,-1,237890,100667,171240,-1,912475,572739,65085,-1,771483,-1,94008,-1,-1,489612,958001,957259,-1,582752,630878,936196,989763,104063,-1,130952,274579,211564,817878,-1,-1,-1,219767,729336,-1,74362,-1,-1,668487,298687,286257,740173,164375,126034,407241,725510,-1,-1,138161,560129,773776,968093,669385,817869,656778,-1,763913,-1,-1,-1,991737,-1,-1,-1,669926,895698,463077,-1,367962,5857,-1,457522,-1,-1,247208,980709,966580,-1,20695,43610,689250,-1,464443,-1,776155,-1,-1,-1,876154,804474,941536,-1,213004,723265,-1,240090,-1,-1,521261,605967,-1,-1,-1,-1,-1,-1,-1,-1,347904,-1,-1,-1,-1,-1,422705,-1,-1,275746,912018,-1,-1,325894,-1,459001,-1,-1,718992,-1,-1,-1,-1,346820,511614,470513,605640,-1,-1,-1,748464,387005,311931,394460,-1,-1,-1,-1,354314,-1,551511,775169,574375,-1,-1,842287,-1,-1,761877,726011,-1,791030,782004,995262,-1,401336,339966,540970,-1,191426,387830,-1,752018,-1,169149,910291,598406,312253,-1,-1,602311,326342,-1,-1,296426,-1,-1,75701,797088,-1,242958,-1,689603,-1,-1,-1,346557,-1,656125,363676,91660,890403,436213,575648,985943,-1,318874,-1,-1,181200,415459,-1,865836,777347,17432,-1,67740,736162,540531,-1,733594,242457,649548,466749,477112,23915,-1,-1,-1,-1,732802,824354,-1,-1,-1,-1,-1,-1,-1,807836,-1,-1,713353,-1,-1,-1,230167,-1,372216,-1,-1,701270,-1,5541,-1,-1,559224,322863,492126,778201,396245,-1,434148,-1,-1,692748,-1,550871,86704,238581,802577,266280,722351,-1,878106,-1,889444,-1,982068,-1,269482,-1,-1,-1,508564,-1,-1,-1,416669,675709,-1,-1,-1,-1,-1,-1,222072,-1,616957,876290,-1,-1,-1,110874,711490,-1,394629,48660,372773,-1,-1,-1,838643,-1,-1,-1,-1,10200,800501,618185,768869,-1,-1,944068,994508,741931,204850,-1,-1,-1,-1,115518,-1,529625,670878,-1,670069,704154,-1,-1,867351,737657,-1,-1,714870,227773,758801,78247,258657,977316,498142,-1,-1,34023,926552,-1,-1,170923,286088,739064,-1,-1,-1,-1,587474,295788,-1,-1,839412,631701,-1,829877,297854,198556,884686,34683,-1,-1,489594,375076,-1,13299,746784,-1,681795,715099,-1,-1,583227,648525,494754,287991,-1,-1,-1,81026,-1,-1,-1,-1,-1,-1,614238,-1,-1,-1,627882,201901,75028,799245,875149,-1,-1,-1,502455,-1,111859,591597,-1,-1,-1,-1,14245,224386,907082,325908,757698,963866,80649,-1,-1,-1,275677,526557,928006,-1,-1,442228,844802,-1,-1,67796,-1,-1,-1,-1,249608,-1,-1,-1,-1,-1,705849,-1,593131,-1,-1,737970,-1,-1,723350,787681,370331,-1,555659,-1,-1,287004,279888,267694,-1,-1,-1,-1,-1,-1,-1,-1,611340,-1,-1,977358,-1,-1,-1,560599,-1,913637,-1,357692,835018,-1,555277,140911,-1,105113,201612,-1,407278,-1,-1,-1,-1,-1,-1,639813,978319,-1,822749,187872,-1,-1,94283,-1,-1,395507,474426,-1,-1,104218,9127,438629,65308,-1,544309,351249,909340,-1,552859,-1,689877,-1,-1,703195,-1,-1,327118,997929,157181,213861,155249,-1,333437,-1,-1,514734,-1,-1,522338,-1,-1,-1,238884,-1,824505,-1,-1,769606,962007,-1,350988,301301,504063,537451,-1,384498,-1,775965,37938,162903,-1,-1,740212,-1,74547,-1,-1,-1,672195,784429,-1,-1,-1,-1,606757,-1,61762,965416,-1,-1,712830,90535,-1,711092,700415,529272,186132,107157,71976,567457,-1,-1,-1,-1,-1,842829,354296,-1,-1,-1,-1,439734,-1,402868,625202,907143,628454,-1,44842,233089,733010,-1,882111,970560,-1,-1,355661,452784,-1,780910,738308,-1,-1,605051,68101,-1,607056,-1,632457,-1,-1,685618,-1,-1,487234,-1,-1,334101,-1,760912,160605,755859,196591,553348,-1,-1,-1,39925,698653,-1,-1,223509,707816,445925,-1,601886,326464,74459,-1,50480,23401,55076,628415,-1,767272,649482,-1,-1,627295,-1,480156,-1,-1,592884,564890,-1,263968,-1,-1,754474,-1,-1,270427,568137,-1,895070,376687,-1,-1,-1,-1,-1,663012,310568,-1,-1,-1,-1,-1,230651,-1,-1,563240,676673,378133,-1,446047,-1,313231,619068,295213,-1,507114,596451,-1,674252,-1,-1,-1,992459,-1,638908,-1,884231,-1,-1,472047,437960,-1,-1,321990,936814,-1,-1,167793,-1,33376,798745,473612,244425,-1,609944,387639,-1,-1,-1,-1,-1,667202,-1,-1,-1,-1,-1,5396,502983,-1,-1,23445,641577,-1,-1,-1,-1,-1,443946,35010,-1,397548,-1,-1,468312,-1,-1,-1,203498,962298,589866,-1,-1,-1,909185,47633,-1,-1,-1,803939,-1,570197,436247,-1,-1,74489,841315,884871,868855,852240,-1,-1,501038,-1,-1,-1,410965,667678,-1,-1,369516,322398,805283,502327,-1,307763,-1,-1,995380,-1,-1,916256,346566,-1,-1,565758,449561,867882,-1,-1,991349,533543,-1,-1,830761,175729,-1,-1,-1,-1,806265,703041,-1,765942,28568,-1,-1,59733,649369,-1,-1,178351,-1,-1,815166,-1,-1,-1,563254,-1,-1,388808,-1,36550,-1,-1,-1,486056,670147,-1,449801,67176,300787,446729,229347,-1,-1,6692,324595,-1,963731,5515,-1,771799,732535,-1,-1,239630,116399,602607,651490,667656,6451,-1,-1,-1,-1,-1,580009,7105,-1,926726,-1,752821,-1,-1,-1,217461,-1,-1,742424,-1,106773,-1,-1,-1,-1,722473,-1,401596,86406,-1,-1,-1,-1,462699,-1,-1,24827,597739,-1,769676,530241,-1,372390,-1,-1,403742,-1,-1,82972,-1,375014,-1,438604,840125,-1,10946,950111,-1,426739,-1,-1,-1,337231,162979,178965,-1,-1,424141,599008,913136,-1,-1,734593,629926,-1,171371,507567,903874,510744,-1,819347,-1,190221,331139,303172,-1,584361,152770,318129,773697,57690,863728,-1,-1,46918,438292,255581,218253,6591,652070,205067,-1,-1,-1,-1,616603,554545,461417,-1,306595,-1,201836,517391,692998,-1,-1,654915,215027,682733,-1,-1,-1,-1,857487,-1,815599,-1,-1,882760,-1,62690,688450,-1,-1,-1,-1,437694,921673,399971,674893,191995,333436,-1,-1,478685,417889,-1,-1,-1,-1,64727,92696,-1,672480,223746,187174,222997,322611,-1,-1,-1,162081,638105,-1,-1,725842,378863,-1,152013,-1,938488,-1,45055,-1,45865,-1,823952,-1,573277,-1,-1,792981,-1,619517,-1,-1,-1,863059,282459,-1,-1,-1,936401,-1,226736,-1,-1,-1,-1,-1,900312,263704,985509,245563,-1,266701,295132,-1,557584,-1,93557,-1,802801,-1,24534,-1,892402,-1,903915,-1,-1,146044,-1,-1,832877,-1,668512,-1,381167,-1,948569,-1,-1,469785,-1,-1,912092,-1,23355,-1,32715,-1,634451,-1,721715,-1,89002,827265,24318,-1,-1,465790,232266,919086,-1,-1,488520,770916,-1,463296,434139,737508,-1,698707,-1,896742,593035,-1,224731,990164,340483,-1,-1,-1,349943,229014,426497,267176,-1,-1,-1,881156,736203,372408,-1,-1,887959,-1,404162,-1,498524,896881,-1,331433,401660,-1,882938,780882,919341,595693,-1,-1,-1,-1,-1,518301,627137,-1,907614,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,338217,191655,-1,-1,-1,839689,-1,-1,972359,-1,549282,-1,-1,789708,-1,-1,-1,-1,178036,168928,194380,-1,583385,412333,314234,82184,-1,-1,-1,-1,41471,711576,-1,-1,746116,728998,580742,-1,-1,547777,-1,-1,351924,-1,-1,-1,333372,361513,924846,718691,-1,419284,-1,-1,-1,-1,874374,578597,101522,-1,-1,508488,544576,76110,903724,285855,-1,-1,-1,-1,-1,962742,218690,936642,-1,-1,574209,51986,-1,-1,949281,407746,719491,-1,10855,-1,781797,654671,-1,513170,-1,791579,371274,-1,328883,395454,919359,957248,-1,983632,-1,429345,228093,484164,-1,501733,-1,-1,-1,-1,127133,-1,424007,772098,-1,839150,-1,-1,274986,883152,908927,-1,405020,-1,712387,-1,-1,-1,-1,-1,263325,-1,-1,299226,-1,40789,248641,-1,-1,-1,-1,115362,106070,-1,387082,-1,-1,-1,330263,523281,913026,11569,544464,-1,-1,-1,-1,-1,-1,538374,-1,339401,-1,-1,-1,-1,-1,-1,162956,778455,-1,-1,377278,408504,-1,821476,-1,-1,-1,-1,355871,-1,748168,48568,612063,727400,675545,356806,-1,295150,-1,-1,-1,-1,835426,-1,-1,704210,-1,-1,588481,-1,-1,-1,-1,-1,-1,545577,887662,966603,326517,873459,-1,126437,-1,-1,-1,797468,-1,336286,746000,-1,418785,-1,11181,866639,-1,-1,-1,-1,32257,-1,-1,-1,548288,953022,-1,-1,858021,-1,167337,-1,-1,121153,568357,-1,410689,30862,399899,-1,-1,640147,793738,-1,-1,-1,804329,230432,-1,928218,546691,975688,-1,260957,-1,995748,554389,-1,-1,-1,396937,-1,72150,46626,-1,631932,-1,-1,-1,-1,359202,-1,105661,776652,915672,756868,184934,289268,512814,307085,-1,-1,-1,-1,-1,-1,-1,839487,143357,722375,-1,612355,-1,-1,-1,464684,955551,356584,760604,96032,-1,106119,239920,-1,565259,-1,-1,-1,-1,-1,382972,-1,159295,-1,-1,673348,-1,220799,832755,-1,-1,13427,350579,-1,254894,918149,-1,974777,-1,-1,-1,-1,253575,-1,377243,-1,-1,150878,-1,873885,-1,-1,-1,-1,-1,-1,-1,544286,848603,-1,-1,-1,-1,-1,-1,208606,533450,955421,511973,187905,-1,-1,524548,-1,380235,-1,-1,163359,-1,-1,587481,154013,830192,-1,572557,-1,-1,966931,-1,-1,-1,-1,940827,570978,-1,-1,535729,632467,-1,523077,458307,631382,451466,60638,806716,-1,157799,-1,-1,-1,138143,-1,885253,-1,-1,-1,-1,578752,-1,247782,10127,222715,494089,544485,318554,326398,770749,-1,204150,-1,-1,-1,-1,-1,400995,-1,296685,-1,-1,952782,-1,43017,-1,-1,592751,623034,-1,108263,608285,278939,-1,914958,-1,-1,713569,-1,-1,-1,-1,-1,305632,845110,-1,-1,883631,200196,-1,379622,-1,484658,-1,547232,906551,-1,52912,-1,-1,982145,9465,689055,403201,-1,-1,373359,-1,-1,-1,190597,366380,-1,900202,-1,-1,56408,646268,947448,-1,864758,-1,829950,-1,-1,-1,489852,328266,239880,-1,4173,649689,201029,-1,-1,630694,549516,-1,-1,908800,676277,-1,550330,713426,867383,476308,629632,481907,291798,-1,-1,-1,502981,-1,901169,-1,993579,740504,-1,960202,866890,344632,-1,965965,897410,136725,863952,-1,3664,806639,-1,-1,-1,233335,334208,457513,840391,-1,141072,-1,-1,-1,-1,717591,508713,-1,792193,-1,-1,-1,-1,692611,584313,986639,897108,-1,-1,654308,658576,468098,-1,-1,430201,-1,-1,-1,-1,-1,146710,-1,283889,-1,393416,-1,-1,127011,-1,830407,-1,-1,-1,172302,-1,-1,-1,-1,-1,397982,-1,164072,-1,875027,153772,140955,-1,-1,543106,148156,916092,-1,-1,847226,252078,-1,-1,512417,-1,-1,697759,-1,-1,-1,948534,-1,565747,-1,-1,-1,-1,406883,272855,708547,474262,-1,-1,897087,-1,-1,386365,-1,630098,-1,-1,-1,846580,597267,-1,-1,724790,-1,-1,563550,-1,-1,633764,-1,927091,763249,-1,-1,-1,523320,787733,937034,248708,957403,-1,636455,523100,989392,411738,193903,690110,992711,-1,-1,768798,-1,-1,997024,497290,-1,-1,-1,-1,569010,543916,299906,110843,571979,301632,10105,-1,381410,-1,-1,-1,184689,-1,658571,559221,772603,-1,-1,-1,480717,-1,-1,-1,975464,-1,374910,340449,-1,-1,375578,-1,83778,133498,-1,-1,599578,329013,-1,-1,-1,942316,-1,-1,-1,-1,-1,-1,434096,-1,672746,-1,629528,-1,-1,-1,505425,-1,-1,-1,-1,861899,314019,-1,-1,-1,-1,330946,208893,-1,851234,673826,303207,-1,722732,-1,-1,-1,726153,-1,922463,110194,473266,440360,-1,-1,773760,730304,-1,-1,-1,-1,-1,233216,361676,47018,-1,396741,606246,-1,181057,537909,-1,-1,-1,-1,411546,-1,-1,-1,398037,97067,361106,479070,264792,931420,-1,269277,901735,-1,139657,529531,-1,-1,59541,-1,-1,434374,344224,-1,837670,990520,-1,-1,-1,-1,899443,647270,-1,-1,-1,-1,-1,-1,848443,506821,-1,437338,-1,347642,-1,842945,638789,389441,276139,553311,669227,-1,391634,346365,-1,-1,-1,-1,798349,253819,171727,159755,696751,-1,780785,227034,-1,793665,400505,-1,-1,-1,-1,881285,-1,390898,287565,-1,-1,954443,875794,-1,200876,580017,-1,471923,-1,-1,-1,36769,-1,422138,590349,243361,-1,858102,-1,-1,275762,137294,531371,239914,-1,-1,157983,255018,262112,902989,-1,879024,513160,736774,-1,-1,-1,-1,467107,667570,-1,472023,377440,488680,-1,-1,733417,987258,430083,-1,-1,687755,-1,504391,-1,-1,574418,-1,660221,-1,608173,-1,-1,-1,-1,889538,-1,399503,-1,953199,804303,-1,-1,-1,-1,139808,410140,886400,-1,58569,-1,482722,231798,636948,429512,-1,135372,-1,565651,917241,146402,870436,-1,198052,-1,74042,97820,138501,-1,672827,870476,282460,-1,-1,186130,212294,-1,-1,228846,771267,227938,-1,869473,616019,-1,-1,259922,-1,934366,-1,220274,844952,728511,-1,-1,774684,-1,600866,7803,524645,-1,259307,41063,726094,704412,-1,209506,421963,-1,-1,-1,-1,-1,336789,413167,-1,924851,-1,-1,-1,613432,-1,-1,749981,-1,-1,-1,376483,143556,158125,-1,199238,-1,710180,-1,666484,-1,228795,996320,805541,241174,950367,-1,891898,933498,-1,327042,-1,-1,-1,176548,417997,-1,722768,943290,734287,60928,-1,-1,-1,826281,78779,-1,709287,430665,-1,-1,-1,-1,911572,545758,-1,-1,442111,-1,262059,532758,-1,-1,301833,793845,-1,-1,824040,749383,-1,-1,936120,505921,-1,688794,-1,-1,170905,821760,645820,559340,-1,701740,-1,173297,557914,-1,-1,195886,845031,-1,920528,-1,-1,780664,977271,818709,393009,-1,230353,-1,39307,-1,-1,-1,307492,307476,756176,696238,-1,92960,-1,-1,-1,-1,-1,-1,110116,156421,866664,850292,710544,-1,-1,424383,-1,-1,-1,-1,-1,-1,-1,415067,-1,-1,-1,815571,-1,-1,-1,271023,-1,-1,902859,632236,-1,993580,480701,-1,500412,-1,-1,237170,-1,162373,-1,-1,876449,-1,58485,-1,-1,-1,115108,59454,-1,866473,-1,-1,-1,-1,751492,-1,-1,-1,-1,-1,154273,487758,86447,-1,774900,-1,907630,306730,-1,-1,-1,-1,368866,853037,-1,851999,-1,987728,92430,497898,-1,-1,-1,246027,914203,659227,166262,693042,783363,-1,-1,-1,859535,-1,-1,-1,-1,-1,-1,-1,717533,241880,256408,255533,-1,639139,-1,602827,849836,-1,771921,-1,-1,-1,-1,679268,271520,-1,-1,937816,-1,8988,-1,-1,-1,-1,327481,-1,135678,823083,222672,422919,-1,-1,878104,-1,-1,-1,-1,-1,-1,911407,277742,-1,-1,-1,648173,-1,335178,-1,561359,-1,-1,-1,-1,-1,403815,-1,776466,400656,551660,112358,-1,-1,209377,581490,977642,347998,-1,416886,683252,-1,-1,-1,-1,42893,921535,950392,-1,-1,-1,705850,218014,-1,-1,-1,661096,192202,117411,992838,746444,786722,781002,948160,636217,197902,-1,306449,586225,533864,276422,537269,376746,-1,614725,-1,45597,-1,-1,902398,430242,535376,-1,25415,994323,-1,-1,-1,578704,-1,675107,-1,-1,53283,-1,612869,-1,-1,759736,-1,-1,659491,47213,-1,964857,678202,253107,-1,28278,189830,-1,-1,564969,-1,-1,-1,737963,893401,181518,-1,67355,573686,447303,47677,-1,40088,889402,-1,-1,175528,862684,-1,250073,849726,-1,-1,363850,677543,-1,485103,-1,-1,-1,403350,574825,-1,-1,-1,-1,-1,122752,89462,843356,355590,-1,-1,997659,-1,-1,458071,100239,-1,-1,-1,601923,137662,947464,-1,-1,-1,483710,851319,145403,355250,-1,-1,131384,88250,434391,-1,-1,-1,384107,-1,-1,614177,965024,920537,878536,562612,888569,649001,-1,-1,46780,605742,-1,-1,958675,-1,17137,-1,193285,849061,-1,284606,-1,786075,211417,187348,963063,-1,68114,398700,-1,-1,237654,581965,491455,367267,27883,-1,-1,811301,-1,-1,851746,-1,-1,826487,-1,30548,-1,-1,240354,-1,212740,318570,-1,993664,766843,-1,-1,58034,-1,772654,825255,529194,-1,-1,729942,-1,-1,-1,-1,45240,-1,76364,-1,660254,-1,-1,-1,-1,42322,-1,714968,857778,390723,454127,425910,952465,264512,-1,-1,670383,-1,243886,874120,727245,709214,381670,772156,-1,-1,329828,1783,-1,583797,193829,594212,-1,-1,-1,-1,316587,359261,-1,-1,-1,-1,-1,767673,-1,-1,451787,-1,-1,633583,482060,558091,-1,-1,806473,-1,-1,60804,-1,851858,633802,-1,-1,-1,711807,-1,-1,-1,422616,365531,648700,-1,-1,-1,-1,-1,-1,564906,-1,772768,633405,-1,961077,126651,899493,200176,17276,-1,951184,-1,-1,297220,-1,5992,-1,-1,-1,948054,-1,-1,783181,-1,-1,-1,657323,-1,884570,-1,555915,-1,654297,-1,-1,257587,403857,49594,642388,-1,114070,-1,-1,211462,280310,-1,272622,-1,172646,658580,956854,272769,399408,-1,-1,735451,-1,-1,-1,455778,904006,829763,-1,294742,885244,-1,-1,246733,-1,299437,86304,-1,-1,615712,-1,-1,551508,-1,-1,334290,-1,-1,653224,622390,-1,38474,844249,5684,226248,-1,-1,-1,242264,-1,-1,441055,-1,-1,812914,97303,-1,322507,828675,-1,-1,813169,-1,674812,-1,-1,-1,-1,865509,-1,603401,-1,92991,-1,-1,-1,257984,-1,-1,-1,603520,-1,309861,-1,-1,647790,939512,-1,-1,-1,715423,404637,-1,196061,-1,794559,-1,-1,-1,521833,272400,-1,364714,-1,800971,124361,967708,855435,815499,453187,-1,-1,659414,456837,-1,774802,-1,484450,749331,-1,-1,898095,-1,-1,-1,-1,809870,846115,-1,-1,141168,-1,780860,-1,-1,709212,-1,574778,-1,867341,189337,752933,-1,-1,448088,211525,832411,911262,-1,655566,268096,-1,189224,549853,797419,-1,332055,78704,-1,225288,-1,617013,-1,-1,-1,874203,574924,-1,-1,-1,649784,-1,941698,864043,495148,-1,774763,-1,517870,513079,957568,-1,457858,158926,160812,162306,558764,-1,534732,-1,502200,662447,54336,36471,-1,444416,511362,490937,924368,708014,-1,-1,-1,82084,-1,-1,112939,-1,-1,314892,-1,-1,-1,-1,-1,-1,948045,-1,624021,-1,-1,788547,343680,164134,-1,713683,776373,-1,486233,443214,829385,-1,-1,705043,721280,-1,674821,979953,465403,982608,284417,804445,-1,-1,-1,-1,61131,532009,-1,-1,249174,853349,99416,255703,-1,271552,827268,295959,-1,-1,-1,-1,921239,768917,137195,-1,933322,-1,817238,-1,5049,812187,409575,40561,31187,590283,-1,-1,817660,-1,-1,-1,491307,-1,-1,-1,-1,283923,193726,507323,989537,589842,913584,857892,-1,734106,-1,308248,-1,-1,465577,820819,-1,276332,758269,-1,439716,-1,702952,-1,267940,-1,347836,429625,873833,-1,137276,-1,150889,164877,-1,-1,-1,673611,-1,-1,108620,23411,861859,103912,-1,351703,-1,913579,186956,361819,617810,897292,992486,-1,-1,941988,86086,-1,133567,588008,-1,206009,-1,301091,-1,262735,-1,-1,30836,-1,912855,344567,595789,710537,-1,-1,-1,970624,-1,178758,-1,-1,-1,-1,738347,-1,-1,45685,880132,353846,-1,510748,-1,-1,-1,11882,298060,-1,-1,946476,99674,-1,-1,190220,-1,398523,-1,-1,659734,-1,845841,540812,-1,48511,-1,590707,473683,-1,958916,452825,965925,-1,186922,884283,798926,-1,-1,-1,639945,920197,-1,-1,-1,-1,-1,-1,32250,-1,215995,879154,571578,559081,897466,-1,310188,-1,-1,230319,864187,529830,-1,997757,72083,647579,-1,124398,427850,14725,-1,-1,620000,-1,180499,-1,810160,-1,502887,-1,303113,-1,353876,92047,-1,-1,733333,145215,-1,-1,-1,940426,151216,-1,-1,428005,-1,899842,27073,172425,442290,-1,-1,-1,311003,-1,937829,726221,-1,-1,-1,313829,-1,-1,86612,791933,495205,959829,-1,-1,-1,-1,349130,-1,-1,409493,442162,-1,708277,42950,-1,64436,917903,-1,-1,469890,-1,987986,199689,187030,760086,97164,-1,706296,365411,892918,-1,166529,-1,-1,859246,182085,-1,182585,-1,-1,266483,18722,-1,646488,988474,242829,-1,818256,-1,-1,933042,-1,170053,-1,-1,175806,-1,420554,-1,-1,-1,-1,57324,842994,-1,756757,800704,-1,441802,-1,-1,-1,-1,290512,509363,929907,-1,440087,185376,314944,99515,-1,681120,-1,-1,451749,187858,-1,349682,-1,-1,218898,925390,-1,-1,-1,-1,473217,434507,-1,-1,786036,-1,64156,-1,-1,-1,-1,-1,846862,-1,-1,-1,941026,582769,565563,375354,-1,-1,-1,442264,-1,-1,354980,-1,-1,-1,-1,976003,-1,458574,3436,426235,899920,-1,-1,554769,590117,-1,-1,-1,-1,456433,-1,-1,-1,249410,211390,-1,939206,-1,-1,373832,-1,307799,233069,613123,-1,-1,-1,981239,-1,-1,-1,428318,746635,241204,-1,431364,53633,-1,219073,307789,238213,-1,-1,291774,-1,464506,-1,-1,97245,-1,29237,-1,915440,409737,-1,890288,845471,-1,282570,752357,-1,-1,-1,-1,973286,817119,983334,732734,831395,420622,-1,-1,228441,-1,-1,-1,323741,-1,-1,562209,988817,-1,-1,-1,624588,200483,987724,360676,373511,546192,-1,770111,997294,232499,-1,-1,329030,-1,133436,158850,748192,-1,879547,-1,644153,665214,-1,-1,914695,-1,427001,232408,49556,561355,92464,294671,319999,-1,576918,317203,-1,-1,223383,-1,334340,-1,-1,-1,660775,-1,-1,-1,763222,959053,-1,113804,895847,-1,-1,-1,389123,742134,290395,127821,-1,7271,912832,825157,375302,190426,-1,685847,-1,-1,-1,-1,-1,297979,-1,-1,-1,-1,919579,938823,413121,-1,736690,333027,-1,220843,-1,690660,435438,-1,408314,347653,644776,-1,868765,-1,-1,-1,-1,335231,747512,-1,717282,-1,203406,652123,366848,796855,-1,767135,-1,320135,-1,254999,702100,944479,-1,-1,-1,414288,-1,-1,-1,663000,168950,497833,-1,-1,-1,-1,667755,-1,625373,270702,-1,-1,-1,-1,-1,678305,105854,-1,847984,-1,567565,-1,997199,273723,311406,147451,534582,757535,-1,517235,-1,189727,204119,-1,76453,-1,-1,443067,-1,522406,205636,30623,-1,762710,377758,449543,-1,-1,-1,938148,-1,-1,331798,-1,-1,-1,-1,821751,191808,-1,498603,-1,468355,654188,-1,209694,193363,426743,718914,854213,118012,33337,-1,-1,-1,41041,933946,-1,423654,-1,269570,-1,-1,-1,-1,880694,-1,415887,-1,1850,-1,446164,-1,-1,294057,816548,267841,-1,-1,727330,-1,229670,-1,791235,-1,677439,953494,535653,-1,-1,-1,-1,-1,-1,852847,-1,865660,880252,199649,-1,469634,-1,689278,-1,-1,109722,-1,141469,-1,-1,966656,624484,-1,379508,463908,-1,943681,-1,-1,297470,148471,-1,-1,484851,-1,-1,806461,-1,254800,-1,647914,-1,-1,260045,391304,-1,-1,452821,374341,734269,970757,216742,-1,-1,782342,377064,319937,-1,104644,418098,151746,-1,868476,-1,-1,-1,-1,695438,126412,289862,705309,918940,-1,800132,-1,859777,-1,-1,8704,6456,-1,-1,511124,638346,806269,481017,-1,384932,-1,930886,-1,5741,165901,747545,737024,152231,714990,415855,793761,-1,-1,753560,422736,-1,638426,-1,-1,520329,-1,-1,552487,-1,-1,-1,170325,-1,953454,954500,-1,-1,-1,999543,-1,-1,753144,374959,754487,298444,374198,466067,945407,550658,366777,-1,791699,780821,440495,-1,-1,124152,836473,-1,-1,-1,755137,326488,228049,-1,-1,839376,-1,-1,62680,2020,-1,587535,-1,401019,447264,-1,793487,-1,783056,228138,-1,-1,-1,-1,314714,307239,957660,285868,-1,680879,-1,-1,-1,-1,233874,-1,-1,343086,992748,-1,-1,-1,-1,57341,724407,294388,-1,688839,-1,-1,171592,142882,-1,-1,206737,705027,-1,-1,675148,-1,-1,982780,-1,-1,-1,-1,-1,-1,403251,-1,563559,-1,-1,-1,570187,-1,-1,-1,-1,93622,-1,-1,-1,63800,-1,536376,-1,-1,575092,-1,-1,-1,691090,-1,-1,503291,477822,54410,-1,99733,850308,-1,-1,-1,946346,497082,229023,-1,-1,-1,182711,970335,-1,850236,13842,314787,341242,-1,985047,-1,313832,-1,-1,-1,-1,785292,22319,44011,-1,-1,-1,37835,601315,-1,866708,-1,-1,-1,-1,-1,777158,536780,-1,-1,247162,-1,123593,146536,519072,473410,37964,370672,927735,-1,669252,229978,169411,-1,721669,216465,-1,-1,-1,-1,654651,-1,-1,733128,232860,-1,-1,161,850810,598906,289437,567118,856918,-1,201676,-1,-1,675365,-1,-1,-1,-1,-1,-1,601487,740739,320857,26782,-1,346976,-1,-1,579996,-1,802758,-1,-1,-1,-1,894590,454875,-1,-1,-1,-1,-1,-1,-1,708471,-1,-1,-1,-1,-1,997462,163110,427306,-1,662305,-1,-1,702981,-1,516656,-1,100281,246814,599308,-1,744065,-1,-1,723132,-1,-1,627628,-1,841452,572034,-1,487022,439782,364302,35858,626885,-1,191778,-1,-1,149790,20364,382700,-1,-1,-1,979427,-1,-1,43727,-1,736685,-1,62348,-1,867245,-1,-1,-1,774947,-1,-1,659710,328997,379139,-1,763441,-1,-1,-1,-1,295060,130313,-1,-1,779042,380940,597461,-1,904393,-1,-1,-1,368489,361122,364132,-1,717950,53083,192811,-1,596727,985188,425267,-1,363638,-1,-1,602967,389332,-1,362039,387124,-1,277511,634040,180440,-1,-1,-1,-1,410226,459772,-1,829458,-1,-1,-1,-1,-1,269767,582461,809427,-1,780307,-1,-1,-1,425849,-1,-1,513152,395035,-1,889224,-1,-1,-1,748857,505484,-1,-1,-1,-1,127501,216215,-1,-1,869750,-1,222792,601910,733646,747452,983314,-1,367329,-1,-1,-1,-1,-1,349122,-1,787168,572234,965144,-1,233688,-1,-1,-1,-1,701259,72287,552739,-1,205197,-1,760827,-1,64673,-1,409080,520517,-1,589581,-1,-1,-1,576103,-1,181844,222423,-1,718340,-1,933447,895193,-1,-1,-1,264277,714116,500909,-1,887492,-1,-1,619512,-1,-1,974187,62813,790824,-1,-1,-1,-1,525919,194925,543696,-1,772379,-1,-1,650994,10285,-1,99774,512324,809434,667676,-1,563783,76159,-1,446415,414582,406904,-1,-1,808101,44601,175336,915483,906455,-1,-1,-1,539728,-1,368049,-1,-1,-1,-1,-1,371292,135791,729663,-1,-1,478818,930433,-1,118257,948631,603929,501734,219976,-1,517153,-1,931492,235445,540242,-1,-1,882143,722718,-1,-1,-1,176273,-1,-1,-1,-1,-1,-1,-1,-1,871262,-1,-1,535750,736759,948647,990756,-1,583778,927959,522382,478235,-1,704689,202150,207364,313326,-1,-1,-1,486882,140738,-1,-1,-1,-1,-1,-1,760507,-1,-1,397682,-1,132835,313360,142829,-1,603967,-1,330256,-1,859224,139758,916340,128722,232073,914961,118310,344886,-1,19019,-1,-1,-1,-1,-1,437495,45109,100680,92652,830529,-1,-1,623267,-1,-1,-1,-1,281524,-1,50630,-1,-1,-1,435877,817600,387193,49598,852197,-1,479088,-1,-1,-1,-1,348552,-1,-1,-1,691517,-1,-1,-1,-1,-1,-1,-1,189949,-1,-1,133069,22876,379069,-1,932353,-1,917843,392713,588098,-1,254835,-1,-1,-1,-1,248858,984590,632295,183801,-1,430561,224840,-1,-1,345910,680568,701639,-1,-1,-1,138504,-1,-1,-1,-1,-1,-1,356923,-1,671437,365424,301086,110660,278492,18216,-1,297048,-1,95545,-1,-1,-1,-1,-1,762749,-1,558792,-1,-1,-1,-1,-1,780091,-1,-1,838486,-1,-1,-1,-1,-1,-1,-1,-1,336976,-1,-1,688714,759790,-1,968603,619712,711122,71361,-1,-1,-1,-1,236352,-1,874821,-1,-1,-1,-1,906842,290967,-1,103078,-1,-1,-1,-1,-1,669009,-1,467879,-1,-1,477029,795301,-1,996150,-1,900043,809082,-1,510666,251437,930171,-1,776887,539064,727721,892828,-1,579916,-1,-1,906181,-1,-1,-1,982792,-1,570947,204009,-1,-1,-1,-1,782041,-1,370568,-1,16509,531156,-1,44172,-1,847444,837438,-1,838836,-1,-1,-1,-1,664611,-1,-1,805405,-1,-1,659005,-1,466887,-1,-1,-1,-1,-1,182909,-1,-1,320305,527155,389329,-1,-1,-1,-1,-1,775207,290613,452451,-1,892559,-1,800172,867578,-1,474648,919653,-1,-1,777466,109360,621874,-1,693091,298211,230346,-1,-1,-1,-1,-1,-1,524108,-1,55128,142168,-1,942943,564604,-1,775785,-1,-1,319382,-1,-1,305098,875120,-1,-1,-1,-1,274422,-1,-1,-1,-1,251559,255549,-1,640832,9390,-1,-1,379424,-1,-1,-1,831378,604482,-1,556094,-1,-1,828678,326097,763556,75349,-1,564858,-1,-1,-1,55342,-1,-1,262129,-1,528971,664768,-1,-1,-1,641951,-1,-1,-1,982960,10448,687882,-1,40796,2982,208803,-1,-1,-1,793106,-1,-1,-1,90238,-1,609364,-1,451355,-1,-1,918812,714379,707574,158677,-1,-1,662249,-1,-1,519022,-1,547911,267947,641959,145128,-1,107200,-1,476022,-1,696436,679193,54703,440827,-1,350979,-1,-1,-1,-1,-1,451585,-1,-1,641158,-1,564427,870693,-1,247050,-1,212709,-1,-1,-1,-1,-1,-1,627372,-1,-1,599664,-1,-1,-1,392400,-1,306592,-1,-1,-1,540817,776864,221576,605603,756195,736482,749457,-1,120589,746912,687428,247221,-1,-1,-1,35367,-1,624055,-1,-1,543095,-1,900530,-1,851021,382810,-1,273835,-1,445421,56427,-1,350389,743407,139424,50867,-1,-1,819412,132618,881049,-1,-1,-1,-1,-1,268731,-1,432534,651002,-1,165020,-1,-1,-1,-1,-1,-1,946294,10063,425461,-1,-1,57611,309686,-1,-1,922623,-1,723706,510745,114367,-1,698745,-1,-1,-1,-1,928695,-1,-1,880963,-1,232371,-1,662417,82879,-1,-1,239185,-1,111991,191162,-1,19022,598558,-1,-1,280574,-1,-1,577327,-1,-1,39887,474578,104183,431991,-1,219053,242490,-1,-1,-1,-1,-1,246168,81921,-1,872646,478900,437856,-1,869111,-1,87147,647083,-1,-1,-1,-1,-1,443980,947939,760260,-1,532988,-1,-1,-1,-1,731281,223105,-1,590760,-1,392663,997606,965151,528483,-1,466277,-1,-1,85994,-1,381472,766115,443685,-1,-1,-1,42731,2854,970909,807439,-1,742269,-1,-1,314576,333467,634661,166538,-1,306467,849523,325048,-1,-1,636317,53504,79338,824420,-1,97962,641198,-1,409990,-1,-1,928946,-1,-1,-1,-1,389759,923457,946963,-1,825454,-1,313975,421889,769189,-1,524544,-1,606940,879254,-1,144010,-1,110650,-1,105316,846620,976244,-1,-1,302746,399238,507674,-1,53188,-1,-1,219654,542005,-1,534235,619470,-1,254499,-1,447716,704090,-1,545154,-1,189377,-1,549332,897161,-1,-1,-1,-1,-1,412969,503775,-1,490338,-1,847272,-1,-1,157075,668005,148343,-1,-1,-1,-1,-1,-1,-1,-1,545529,-1,-1,-1,-1,-1,-1,283320,950107,418963,152950,-1,540086,392902,221435,-1,794187,796919,-1,458270,91724,266098,-1,-1,-1,143203,398316,-1,778305,687317,-1,-1,336097,26465,-1,997083,-1,334373,-1,-1,-1,-1,382168,-1,-1,-1,-1,787683,621963,-1,707258,-1,980008,-1,352755,199941,789115,-1,-1,403026,-1,914129,918744,-1,640104,-1,488241,340658,365511,-1,473757,38786,430881,-1,-1,920318,-1,-1,420679,340065,-1,635861,-1,514673,448015,662822,-1,674408,-1,-1,198936,610936,373422,667843,-1,-1,-1,-1,778865,-1,503322,421234,-1,75112,294263,644882,-1,-1,-1,-1,-1,305187,764280,-1,-1,288868,526613,932720,164650,-1,-1,-1,589312,891093,-1,11365,-1,783644,77383,287445,756696,550125,11138,972538,-1,235437,-1,573355,-1,927047,977594,338437,438354,356135,746234,-1,378212,265343,-1,-1,570681,54741,201744,669394,-1,-1,177551,366272,716970,-1,778171,741308,-1,983624,360443,740366,-1,-1,-1,-1,548305,131763,2696,332247,492517,805642,-1,-1,-1,765698,-1,859615,758397,828940,-1,484146,417636,-1,-1,-1,-1,339833,410235,-1,-1,-1,-1,407346,-1,181370,56659,-1,-1,722566,795500,685836,-1,-1,226045,690805,783473,-1,27550,721270,-1,-1,302513,-1,-1,-1,-1,-1,800692,114965,-1,-1,-1,-1,765925,181712,200067,-1,-1,783875,266812,649077,212175,-1,539936,716736,-1,289197,-1,545237,-1,953083,813701,970493,840549,-1,-1,-1,-1,215600,678383,-1,588551,726049,865948,-1,-1,435147,806464,-1,845363,239210,-1,-1,-1,496949,153965,-1,-1,790703,-1,972647,779909,43276,-1,38350,-1,-1,-1,386885,225170,502667,238649,-1,-1,-1,-1,-1,-1,949709,-1,-1,325907,-1,386927,390542,-1,990470,693701,-1,-1,691855,-1,343771,927529,-1,511878,315870,-1,-1,-1,580498,883288,973264,-1,-1,-1,-1,-1,-1,602983,-1,-1,940443,578840,-1,636157,-1,201626,-1,-1,664770,107218,438410,-1,107738,-1,-1,-1,-1,-1,161643,874232,-1,-1,-1,-1,-1,-1,172361,248996,175801,394912,-1,-1,760664,883459,-1,130334,-1,-1,-1,-1,-1,-1,351943,-1,-1,402027,728430,-1,866173,47567,-1,-1,-1,-1,756792,-1,-1,6638,616057,-1,-1,-1,-1,164368,218514,-1,259274,842381,886802,-1,671717,418887,43291,-1,540576,-1,-1,139837,998807,442646,67291,333999,232905,541192,-1,-1,-1,967694,-1,990330,-1,-1,226107,-1,318635,-1,-1,-1,-1,379539,496703,-1,680774,-1,-1,616339,-1,294228,-1,8759,-1,439863,396313,705285,622443,-1,13169,-1,-1,627559,-1,640149,231008,909716,-1,-1,-1,276961,386197,-1,-1,-1,235914,-1,-1,586094,-1,-1,-1,452461,-1,346407,678012,-1,-1,263617,676686,-1,983774,204103,-1,-1,-1,785996,558957,866351,-1,779730,-1,482186,341045,-1,359747,960553,238208,485138,-1,-1,-1,853496,816536,-1,627119,-1,354797,338107,831366,820010,755303,401889,627568,367443,-1,-1,313706,-1,-1,939468,-1,-1,469373,178494,-1,673393,-1,-1,83243,-1,-1,-1,-1,-1,-1,-1,-1,460050,728510,-1,287825,-1,-1,191749,545996,-1,283749,-1,-1,-1,400219,-1,-1,-1,113640,-1,-1,-1,560602,478649,-1,-1,390710,322352,-1,-1,-1,117413,-1,341795,141371,-1,-1,-1,412877,-1,634298,-1,-1,164980,966693,-1,-1,-1,-1,147823,67271,-1,-1,999944,143631,41269,472586,-1,300309,-1,78578,-1,-1,-1,-1,-1,191613,932847,96478,-1,420667,714167,383196,493768,-1,189494,581348,375977,992648,-1,-1,54183,-1,-1,-1,70422,-1,958816,876110,-1,-1,-1,648345,246567,431213,200552,-1,-1,454428,486585,731366,618880,672354,-1,-1,-1,-1,606573,-1,-1,52781,-1,907799,218352,-1,17240,-1,461366,-1,837178,-1,257253,572351,-1,-1,-1,890306,758286,-1,675271,-1,-1,-1,-1,-1,-1,953486,104350,-1,357287,-1,173107,650930,649092,921733,228365,-1,-1,847560,565970,-1,-1,-1,-1,267161,782819,-1,544166,254454,-1,819840,109045,786380,394189,-1,299793,-1,164294,-1,-1,-1,-1,-1,970069,121504,-1,-1,956517,-1,273162,675178,154398,33196,-1,762639,344254,306288,33262,129078,-1,464149,680213,-1,886363,540363,-1,865989,-1,518776,468426,636000,307098,-1,-1,400654,-1,-1,364274,908325,79507,948889,-1,539188,422159,26758,480557,761295,-1,859558,-1,-1,-1,620649,-1,-1,-1,11832,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,330128,12139,-1,89820,-1,-1,381831,-1,-1,68231,158014,-1,894436,-1,-1,-1,-1,217246,-1,-1,-1,-1,516408,70759,-1,-1,366369,-1,293512,190265,-1,884948,-1,-1,621784,-1,-1,894581,128154,-1,-1,-1,-1,622281,558269,-1,620233,89740,168618,-1,-1,-1,359269,-1,714362,705806,-1,-1,790059,13283,-1,104850,-1,-1,536851,955461,122326,-1,-1,-1,-1,-1,553813,843235,-1,-1,432354,274726,15228,-1,688358,119796,-1,-1,-1,300370,-1,744362,-1,624591,701978,-1,764889,-1,-1,-1,-1,-1,63415,203874,493582,344781,939599,334279,475094,-1,885513,-1,725528,-1,-1,-1,542946,72144,695367,-1,-1,-1,-1,-1,-1,-1,29800,-1,471591,-1,-1,-1,287078,-1,265509,466173,-1,-1,-1,-1,151120,904711,-1,347217,-1,-1,447137,-1,-1,-1,-1,-1,-1,-1,10548,-1,562798,-1,-1,856351,-1,124862,831424,810546,-1,661234,-1,692532,-1,971528,-1,573260,739828,901344,-1,101591,413164,-1,881717,947813,-1,791193,415885,264963,-1,54019,-1,-1,-1,15444,131358,267232,-1,-1,-1,954378,-1,916635,-1,273214,-1,139961,-1,-1,-1,-1,505615,712878,277686,-1,-1,-1,-1,923583,350793,-1,508252,682622,683663,622048,-1,276641,-1,-1,-1,-1,-1,-1,285994,599977,-1,668054,-1,384975,-1,-1,-1,409304,739943,-1,-1,779363,-1,708005,-1,173340,787897,738673,410971,986133,2521,949571,-1,872867,670876,-1,-1,-1,822625,114721,298106,784505,-1,3213,218066,-1,681055,-1,814587,943481,-1,910459,500226,-1,-1,-1,892445,554105,-1,615256,-1,742429,30093,703997,-1,654993,346851,433774,988768,-1,123315,182044,-1,97835,585034,-1,690206,969214,-1,-1,-1,762461,714783,-1,892295,310001,-1,-1,579180,989919,133080,-1,-1,-1,415557,-1,876431,55332,-1,-1,-1,-1,-1,45866,-1,272965,721327,-1,-1,66579,905713,13510,913419,329430,556204,-1,-1,-1,-1,-1,158549,98170,402657,886976,439689,284592,178936,-1,710342,162749,737397,-1,-1,940660,790259,-1,159712,739727,-1,-1,-1,-1,708939,-1,98322,571280,-1,-1,813720,357891,-1,307127,149439,42363,618577,-1,-1,-1,-1,383586,-1,722312,-1,-1,631688,358163,-1,-1,291330,668117,250570,-1,294449,372168,833586,-1,-1,-1,-1,-1,-1,-1,971677,669141,545002,-1,733830,70776,-1,-1,267083,-1,669767,803640,-1,396346,-1,-1,-1,972460,106870,-1,707523,138509,-1,265592,550417,608148,-1,-1,588023,-1,-1,720812,527302,-1,267772,-1,835307,-1,-1,-1,-1,-1,-1,-1,39234,-1,138484,-1,185363,-1,791487,-1,998644,756971,607178,724867,-1,-1,-1,226167,93406,-1,-1,-1,-1,-1,-1,436175,27997,-1,-1,163811,-1,725623,-1,-1,-1,-1,-1,172816,958534,-1,276053,306,861049,115261,-1,903938,-1,419402,932391,707141,-1,827604,-1,-1,976042,-1,373990,-1,-1,16561,-1,-1,36060,317554,-1,713886,-1,481429,325627,848986,820857,-1,-1,-1,8216,-1,244610,654367,-1,-1,-1,153209,316969,617414,410342,655329,-1,-1,58857,308812,629318,-1,799716,-1,56212,-1,964577,802942,-1,-1,149914,-1,25137,-1,-1,762359,829024,164027,-1,-1,415991,-1,-1,488479,-1,-1,741962,342159,703087,-1,302680,912632,-1,781592,524681,-1,-1,-1,-1,-1,-1,-1,369520,-1,-1,108404,648228,-1,-1,71961,-1,95053,178816,-1,753812,-1,484713,-1,-1,281476,37440,-1,-1,316005,-1,843752,-1,-1,559073,-1,-1,-1,819169,677711,-1,-1,623477,-1,-1,-1,-1,401763,-1,751374,-1,836910,-1,-1,634292,-1,475344,365718,895036,347736,-1,-1,907078,-1,-1,-1,15895,-1,903321,111492,-1,542157,967448,934881,-1,-1,-1,786974,-1,150627,-1,-1,-1,-1,-1,-1,151647,173110,484403,866075,302471,-1,-1,113228,-1,-1,122301,952384,409019,874692,810881,-1,-1,909059,-1,142004,-1,-1,574781,705789,-1,221478,715338,128253,-1,-1,-1,-1,-1,-1,926335,-1,-1,291929,-1,-1,173581,959171,207816,880333,-1,732732,-1,-1,119999,-1,506596,407019,-1,919401,-1,685422,-1,-1,-1,-1,-1,-1,-1,-1,548942,-1,-1,449392,904116,97906,66380,-1,-1,-1,-1,595558,-1,639954,-1,26791,790799,288381,-1,68484,429618,-1,-1,617390,800865,-1,507716,844315,-1,994065,-1,-1,-1,323301,807261,882448,-1,-1,514947,-1,387097,-1,465458,-1,808114,-1,624676,-1,-1,592023,782553,423196,-1,604835,-1,578180,-1,-1,717617,-1,-1,-1,64010,-1,-1,-1,654709,340661,956596,-1,-1,-1,-1,-1,-1,-1,753591,-1,830541,-1,-1,-1,790866,90698,460960,769100,945351,-1,-1,-1,-1,697831,-1,692749,-1,-1,977661,765712,924937,-1,-1,-1,880218,-1,300236,657073,678042,498119,-1,485837,-1,-1,572281,-1,-1,53739,817543,244304,-1,-1,-1,652280,440775,120070,27718,727163,975596,13195,-1,-1,318261,885203,416324,-1,-1,618240,-1,549253,-1,896280,886873,-1,545908,817636,894357,-1,-1,581002,-1,-1,-1,506202,-1,-1,-1,901302,-1,414560,-1,-1,-1,873166,947935,-1,-1,-1,-1,-1,239785,459874,592006,881895,565120,-1,440730,-1,-1,-1,875262,23680,997856,180509,247794,-1,273005,-1,-1,507914,420452,-1,809281,193819,-1,701776,42842,-1,521267,681944,-1,814500,-1,437413,-1,-1,533910,679850,-1,-1,358723,162322,-1,925032,711528,7362,-1,31492,-1,-1,-1,913915,407494,-1,441498,-1,941573,-1,-1,480226,620371,291497,493298,912032,213227,-1,260740,-1,-1,891602,5645,877163,113007,673961,-1,919241,-1,-1,-1,75491,-1,-1,966809,599010,-1,77012,938169,-1,948915,361575,248983,501751,376924,-1,-1,-1,903850,-1,78849,738648,487383,984567,531982,176700,666438,-1,-1,387414,324667,349096,-1,-1,-1,237426,-1,-1,796786,-1,243850,872874,-1,84706,-1,319522,-1,209576,-1,-1,-1,622115,-1,-1,-1,-1,-1,485757,412138,-1,840018,-1,-1,-1,-1,299487,2263,-1,-1,-1,-1,375056,-1,457229,364978,-1,640245,-1,-1,246152,-1,110865,-1,-1,-1,-1,-1,-1,-1,-1,132861,500979,756833,-1,191054,-1,462526,-1,419370,-1,-1,-1,-1,-1,-1,387755,773701,421126,802939,-1,-1,-1,-1,-1,-1,853988,-1,-1,697896,183264,-1,118059,21678,759852,17247,-1,-1,-1,-1,996872,-1,-1,947161,-1,329715,-1,571797,222638,-1,-1,-1,-1,-1,-1,748123,520938,-1,474731,-1,36198,-1,906714,-1,113622,-1,33569,-1,645541,-1,609204,-1,-1,-1,976021,846260,555349,98314,404529,-1,-1,-1,800015,334639,-1,671924,-1,-1,489870,898358,-1,-1,126974,689441,666207,867020,374007,757261,-1,-1,-1,-1,-1,473139,857039,810527,682396,65999,576431,-1,-1,120814,-1,453394,880778,548208,184516,803059,-1,-1,702392,-1,891580,204029,487980,259160,-1,304211,722618,884138,402024,-1,-1,-1,513042,255265,119650,-1,-1,663867,-1,-1,-1,265782,976174,-1,149368,-1,67316,389291,517485,-1,-1,-1,-1,917039,-1,-1,718161,502605,726687,865919,-1,-1,610188,-1,-1,594767,744204,91289,623655,-1,228277,-1,484106,338033,93594,-1,382148,-1,-1,928858,698103,-1,-1,-1,-1,108146,-1,855265,566461,-1,-1,980074,-1,-1,-1,322729,395204,-1,654568,22324,3421,918983,382496,-1,-1,635800,-1,730672,-1,-1,475560,738564,752652,527510,47028,933456,418927,-1,937666,782551,351000,-1,-1,-1,-1,70975,277536,342281,-1,-1,-1,734842,-1,-1,899421,377412,-1,784995,267298,-1,-1,-1,-1,954814,579040,772965,139395,-1,697099,766361,259711,-1,353656,-1,-1,-1,-1,795635,445956,-1,716989,457097,-1,-1,-1,927915,-1,-1,-1,980512,704055,468923,669183,-1,-1,837840,-1,-1,-1,-1,408817,390712,217356,-1,-1,-1,205954,-1,354884,957960,-1,651311,-1,560158,386957,962030,-1,453211,828375,706323,908873,645886,45244,735740,398502,276766,969394,820176,-1,89883,261688,355315,-1,-1,-1,647426,647129,701245,746327,-1,63351,-1,-1,-1,-1,-1,-1,235964,-1,-1,982589,-1,741299,612388,-1,62556,59616,263151,604948,-1,-1,-1,637263,-1,-1,-1,-1,-1,-1,709329,-1,-1,675111,142266,-1,-1,525840,-1,-1,204238,-1,142838,-1,-1,902343,836017,69360,903739,531932,-1,335750,713656,375013,225306,574134,-1,-1,-1,870502,-1,657951,42774,-1,-1,-1,543048,201446,403366,-1,-1,-1,278831,-1,-1,876347,-1,651772,-1,84491,-1,561202,61450,-1,513862,-1,308611,735956,-1,375588,76320,760774,23535,214207,914046,-1,-1,624825,-1,733079,-1,96955,293553,940107,931803,676513,176897,34271,457962,-1,-1,-1,305984,-1,-1,-1,-1,280647,-1,-1,-1,361440,-1,938569,401328,585387,774088,-1,-1,-1,158702,-1,-1,95318,-1,-1,163174,-1,691863,821187,995326,177545,-1,658438,-1,-1,-1,-1,-1,477383,630942,732940,-1,-1,-1,-1,42043,986257,-1,578540,-1,486431,-1,-1,765401,-1,-1,478158,-1,-1,-1,-1,178650,-1,532072,277236,598896,-1,-1,996159,236909,754257,391133,-1,-1,-1,7582,-1,177159,191975,803913,872169,232521,-1,880230,-1,786451,584204,129207,-1,117417,211991,-1,-1,915953,27839,11815,-1,-1,774688,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,688106,221135,862868,-1,-1,-1,-1,-1,-1,-1,681148,-1,-1,507630,211279,144609,477588,-1,305261,68383,-1,224454,170379,270056,-1,-1,-1,-1,226698,-1,-1,648106,-1,-1,685102,-1,555817,-1,-1,-1,765519,33474,143373,77505,-1,-1,-1,-1,332291,633496,906307,403983,577310,576821,-1,706320,683416,54181,-1,167951,-1,-1,-1,172706,198614,-1,-1,417709,521277,-1,-1,808151,-1,-1,-1,855279,966733,-1,-1,-1,-1,986270,-1,-1,143254,263581,796877,350484,802915,50044,821605,847717,-1,909532,-1,753788,237510,-1,-1,419418,679899,359795,512505,129646,-1,-1,679138,709876,-1,565311,388694,643789,-1,175409,262912,-1,-1,648704,-1,-1,306159,-1,-1,-1,635680,684966,-1,539726,-1,-1,-1,-1,518087,646825,146722,-1,-1,251131,-1,561250,7787,539661,-1,-1,18859,810609,542370,562454,-1,328170,215519,653090,372185,173881,877870,-1,754024,685565,246612,629487,4562,260798,223320,-1,-1,416694,-1,956045,59262,-1,640554,-1,659637,-1,509033,-1,-1,-1,874318,340882,-1,-1,-1,488491,495447,-1,49386,-1,923278,548122,-1,-1,-1,824034,683138,585936,93710,-1,-1,-1,893398,640019,274714,807424,68163,-1,-1,-1,778247,-1,914820,884214,507593,495517,-1,-1,393723,61598,748283,-1,-1,380373,-1,814861,-1,-1,528094,-1,-1,932858,655810,-1,-1,-1,649239,361867,-1,-1,495859,-1,-1,-1,-1,392837,-1,-1,226459,673534,-1,-1,-1,703797,198886,146598,807387,406181,217597,-1,358542,632310,-1,878365,-1,843126,-1,-1,778552,557975,-1,448792,-1,-1,-1,-1,-1,-1,663985,21816,-1,-1,432099,-1,450892,962208,401294,-1,463500,-1,-1,-1,-1,550666,-1,-1,722943,603482,691039,125202,-1,298738,49690,-1,12511,29773,-1,-1,296386,-1,-1,-1,724470,-1,79528,226376,-1,105947,243620,-1,-1,-1,-1,760371,-1,68931,761921,329857,999025,560582,229744,-1,310481,-1,687307,-1,-1,404045,230622,-1,-1,732683,-1,-1,30183,523406,788686,781855,490897,-1,-1,403166,-1,-1,-1,-1,123583,-1,449589,229692,-1,-1,17680,-1,796268,-1,151861,355413,-1,846698,-1,-1,-1,-1,882918,-1,-1,-1,800302,-1,-1,-1,182460,-1,729929,831757,-1,-1,747757,404965,995266,840783,-1,-1,721921,-1,508291,966711,212133,952717,-1,397896,-1,816003,470429,-1,682772,-1,-1,590353,-1,338431,-1,-1,-1,336022,263291,-1,504000,394735,269935,-1,767582,-1,875911,-1,854561,946246,-1,967205,359184,-1,-1,-1,908945,965896,907711,-1,814692,745095,-1,426701,687181,273134,-1,698733,468267,-1,142328,73680,73278,-1,195047,509642,22830,659854,245341,430124,796887,51113,476733,-1,-1,-1,926597,869579,-1,277772,-1,-1,287901,761249,812503,-1,-1,877846,-1,-1,-1,751760,-1,-1,282734,-1,-1,-1,816129,603280,-1,11619,-1,437552,412387,-1,678904,-1,845434,-1,127390,-1,893629,840957,-1,-1,-1,-1,38439,-1,989401,-1,416617,-1,-1,993681,-1,937981,-1,171456,778963,642994,-1,-1,-1,-1,694963,518761,-1,366876,113193,280089,543964,769754,-1,-1,362634,-1,-1,404769,764731,-1,30832,508208,-1,-1,803296,-1,-1,992152,796884,768439,353898,-1,-1,-1,628399,646885,252524,-1,906234,519359,-1,-1,52739,-1,-1,-1,-1,-1,493889,-1,319026,18490,-1,262536,950968,-1,506399,673665,-1,702247,435731,312135,-1,-1,149453,76760,426963,625854,-1,-1,479893,-1,-1,475712,-1,-1,-1,545570,-1,349871,-1,560731,536156,899390,183538,-1,-1,-1,-1,588386,-1,222959,579094,-1,440614,328494,131062,-1,-1,-1,-1,-1,-1,-1,493507,-1,478576,-1,958974,-1,339272,-1,420149,261646,-1,559050,-1,-1,997557,-1,-1,286683,425037,147048,-1,-1,109375,-1,-1,217473,793438,950660,-1,415675,-1,-1,582130,353801,-1,674810,-1,-1,-1,759490,-1,-1,-1,-1,-1,893836,518638,-1,-1,926247,718858,-1,705226,-1,718726,827868,924948,-1,-1,-1,324897,-1,-1,36143,347306,306084,524037,-1,987234,-1,869670,-1,-1,-1,470626,202755,-1,-1,-1,-1,-1,521714,-1,665750,722574,-1,-1,-1,690505,334628,408100,-1,-1,-1,-1,284735,950440,865913,-1,-1,969840,588604,-1,-1,-1,-1,998190,-1,-1,-1,-1,-1,-1,-1,484174,538480,381364,-1,-1,-1,-1,-1,494999,-1,-1,-1,489417,-1,-1,-1,518025,-1,78285,-1,450336,-1,-1,-1,-1,-1,-1,-1,226777,-1,-1,-1,850167,-1,780249,-1,436776,-1,148511,678761,57568,-1,787817,845821,52296,-1,558171,660720,236506,476800,244383,-1,10339,887906,560514,-1,468273,740442,212601,-1,-1,217805,-1,-1,624949,-1,-1,180735,-1,99761,281892,483352,-1,-1,448078,-1,387223,435312,-1,-1,902280,-1,118717,-1,394865,-1,28352,14894,-1,471860,141393,201713,439192,-1,410746,-1,-1,226474,691825,-1,-1,-1,388352,-1,-1,-1,214234,-1,825409,-1,686770,-1,-1,-1,-1,-1,-1,42787,520909,780877,-1,-1,976287,704875,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,804516,99086,-1,368021,98107,740766,-1,113745,-1,142429,-1,-1,-1,-1,-1,-1,-1,-1,798506,326573,210286,-1,403613,531188,521013,-1,617271,94094,-1,458011,164920,696581,-1,564933,-1,-1,936936,-1,-1,-1,470018,-1,-1,-1,-1,89987,315572,847440,606733,738172,-1,-1,-1,763052,-1,661478,592068,-1,344425,-1,178493,176332,-1,916607,724991,-1,702474,732978,-1,-1,37637,-1,-1,-1,490274,516989,-1,-1,-1,-1,427853,-1,737999,617968,978385,-1,750368,-1,548390,-1,187879,-1,365623,-1,762151,603742,334463,-1,-1,67855,175594,-1,-1,-1,169302,893637,665201,-1,-1,677215,-1,-1,-1,-1,600214,92024,-1,-1,-1,723079,779479,938718,-1,-1,882262,855778,-1,-1,-1,426288,863083,-1,478552,-1,-1,-1,744554,186941,134650,-1,-1,-1,-1,-1,-1,70682,681269,245810,-1,504044,-1,644590,-1,-1,-1,-1,-1,-1,120185,-1,-1,253672,807160,284483,901562,-1,292855,-1,-1,943166,-1,697036,-1,478342,-1,428169,-1,301694,-1,-1,-1,638824,-1,-1,63531,158819,979456,938232,855049,99640,951549,-1,-1,366999,-1,-1,-1,471916,-1,558147,-1,-1,-1,408888,-1,534962,-1,-1,-1,-1,126970,-1,316184,-1,311343,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,505020,192433,-1,-1,-1,-1,512581,-1,-1,831751,-1,-1,5854,150332,-1,-1,-1,-1,-1,167165,900999,651866,-1,710256,405050,-1,73093,-1,-1,944499,715031,-1,154388,9234,-1,-1,630719,498075,98572,914658,-1,913288,693590,222381,764099,-1,-1,830206,202093,513694,-1,113358,-1,-1,422151,-1,-1,351393,595916,-1,311978,459394,272819,-1,-1,520610,-1,412484,-1,401526,688031,-1,730206,-1,-1,-1,-1,400764,-1,616869,808483,-1,394609,167224,607943,-1,-1,-1,460767,234626,-1,-1,393576,-1,-1,265236,830323,-1,643667,399058,-1,947713,-1,394345,914650,-1,32716,707001,917395,-1,647549,174809,-1,-1,149309,-1,526607,199930,-1,607011,-1,8381,167395,-1,-1,426787,-1,-1,-1,-1,-1,160331,-1,959048,-1,687097,283360,-1,-1,457809,-1,-1,494953,-1,10683,-1,814174,203244,-1,-1,-1,559043,745919,568013,333633,-1,-1,-1,-1,705791,609583,853525,-1,902795,102273,-1,-1,-1,122871,-1,-1,-1,-1,699194,641442,-1,646865,805025,-1,-1,-1,210970,-1,770135,642528,711075,-1,782294,-1,-1,-1,-1,-1,-1,50879,402102,-1,462348,-1,8454,285513,321798,157593,-1,896852,-1,-1,-1,675397,455469,-1,-1,648124,110937,716793,2752,840539,-1,-1,978272,311888,-1,628253,-1,144,321221,-1,-1,-1,633835,-1,60359,-1,-1,-1,-1,-1,-1,455790,-1,-1,-1,-1,-1,438018,-1,-1,603118,-1,-1,-1,508913,-1,-1,-1,-1,453423,35815,-1,305281,524644,911435,795951,323247,-1,663748,-1,946864,-1,-1,-1,-1,-1,-1,-1,490731,258426,-1,118614,-1,121830,780953,397080,573642,-1,133431,-1,148441,-1,-1,-1,-1,204950,-1,-1,-1,-1,-1,119438,342841,476181,-1,-1,-1,-1,618886,484073,-1,-1,-1,326007,108976,350513,560645,313480,-1,-1,-1,364711,-1,538067,180897,387591,-1,910023,-1,435922,407582,-1,205893,777860,-1,840505,309921,-1,327116,-1,614602,-1,257542,-1,-1,236313,505548,935760,-1,-1,-1,-1,-1,108292,9371,391762,-1,-1,524770,-1,275492,264036,-1,-1,625640,-1,868144,874568,-1,520753,825759,699147,-1,-1,297446,-1,949712,590303,866468,493548,-1,-1,-1,146465,-1,203614,-1,9877,-1,-1,-1,-1,-1,639379,848304,-1,-1,134121,664584,787761,-1,758671,675220,-1,-1,-1,-1,-1,688107,-1,30184,-1,43615,387634,826925,-1,214940,-1,-1,246153,70508,82774,122682,-1,-1,443296,-1,668344,87671,845511,-1,-1,825904,951787,937499,-1,-1,-1,-1,-1,-1,184297,-1,-1,113935,587326,-1,-1,304465,-1,906343,-1,24291,805815,521355,-1,-1,-1,-1,-1,-1,-1,-1,16066,-1,-1,4523,-1,885342,255813,-1,-1,405904,598372,738493,-1,-1,896489,-1,36334,-1,-1,771987,450071,279487,-1,80593,-1,148852,-1,859438,-1,139824,-1,-1,158844,-1,527124,848877,476362,970519,659788,-1,-1,184172,563697,379303,932346,-1,426390,-1,-1,593811,152168,-1,-1,865827,193630,213396,928176,485009,828202,581733,-1,283344,145671,859769,837239,85468,161016,-1,-1,-1,-1,262334,51299,-1,516459,529618,-1,-1,-1,-1,-1,739106,-1,-1,-1,-1,-1,-1,-1,-1,-1,301719,156274,793391,-1,240444,-1,368369,838707,-1,-1,159630,614171,-1,-1,-1,-1,-1,-1,-1,165752,623025,-1,324952,-1,-1,157644,959552,700340,-1,659770,-1,232833,-1,-1,-1,-1,-1,-1,-1,480692,-1,-1,966780,-1,42432,16815,737336,330185,-1,362468,905251,750980,-1,952960,665574,311638,346137,-1,464304,467974,593439,-1,384041,628504,-1,-1,708493,176573,-1,468979,407500,315657,-1,195101,2747,-1,294279,-1,-1,-1,-1,-1,-1,304572,173656,-1,-1,893024,207160,-1,-1,-1,890507,-1,-1,-1,58207,-1,405535,4923,566873,-1,-1,-1,-1,-1,-1,760547,789048,-1,272623,-1,-1,-1,204532,-1,295794,-1,-1,386425,820558,324716,247430,136547,985164,52250,-1,-1,115388,118402,-1,155901,543669,616391,-1,-1,-1,698246,395166,288802,380901,147438,-1,-1,-1,870002,28974,769338,22485,629000,-1,-1,351171,-1,119052,-1,-1,-1,926807,-1,228591,132165,760785,721188,-1,605238,-1,156404,537657,832737,-1,-1,408705,-1,171293,-1,-1,137976,-1,463010,479882,-1,-1,827176,405266,146043,974543,-1,3677,172814,-1,-1,81304,704647,-1,8546,698614,-1,192452,-1,525351,296764,795997,-1,835067,-1,-1,-1,-1,-1,771812,-1,130159,-1,528303,934695,237138,-1,97094,32029,231220,-1,-1,428646,267967,-1,396055,-1,277555,-1,387609,-1,618819,-1,-1,328296,856913,-1,-1,198848,-1,-1,-1,-1,-1,-1,-1,563780,421312,710175,527786,754835,877311,-1,-1,-1,23873,927963,-1,681832,-1,-1,-1,-1,260400,-1,-1,733953,66956,551760,753030,993178,377102,488387,-1,669892,-1,140504,315062,41550,240248,794225,-1,-1,917777,633846,761863,-1,480649,227505,803419,-1,-1,-1,659837,182186,-1,456749,339015,-1,277156,183518,269978,-1,709532,-1,778849,-1,-1,-1,670555,-1,94011,-1,-1,-1,-1,-1,-1,-1,-1,-1,505453,890354,321079,196205,-1,-1,404651,-1,148958,-1,-1,-1,-1,229726,-1,707051,970299,929872,-1,-1,164741,-1,514505,-1,6665,700166,265751,-1,614295,60687,283202,-1,288430,-1,196113,-1,-1,-1,71444,-1,-1,-1,242619,-1,510310,745956,-1,-1,-1,26846,316313,-1,-1,622293,881494,194473,-1,858439,393317,-1,665714,-1,97410,540893,-1,-1,-1,935827,906277,413693,292461,917044,-1,270600,-1,-1,287040,-1,230114,-1,-1,19468,321600,911269,578936,-1,186549,-1,-1,536733,-1,905072,-1,-1,278375,917806,603412,-1,347422,710845,279750,670211,-1,444421,-1,-1,-1,896740,-1,-1,-1,253735,-1,-1,-1,-1,-1,908388,401952,-1,534826,221332,-1,449438,-1,-1,-1,951446,-1,-1,-1,455430,176737,-1,-1,953640,386464,-1,977511,-1,665158,163739,396436,190745,-1,902203,-1,-1,132132,-1,-1,140866,293492,620299,915488,-1,-1,-1,-1,-1,-1,372816,-1,-1,149637,761643,892345,209218,-1,954072,-1,-1,298568,-1,-1,841619,-1,544118,975299,795,-1,-1,451476,744317,260143,760542,586146,-1,-1,-1,945806,-1,255031,-1,953711,685553,-1,-1,-1,-1,477998,772381,-1,903506,760754,-1,-1,-1,421994,524101,-1,112562,48537,931293,-1,-1,769996,761819,-1,-1,-1,-1,-1,915015,586013,-1,-1,-1,-1,-1,664522,312536,-1,126212,-1,873719,385386,684849,508070,-1,224891,998784,654115,-1,440573,460606,-1,-1,610615,-1,-1,507691,135968,-1,-1,-1,393827,457596,475508,573693,-1,268732,-1,-1,991971,-1,-1,-1,-1,-1,-1,170468,-1,-1,-1,567397,-1,-1,951052,-1,263953,977240,-1,-1,648820,85619,138794,-1,705706,-1,403388,758338,-1,551148,313594,-1,620624,-1,321498,-1,-1,994008,195411,-1,-1,388313,247788,570601,53798,954621,484372,392198,-1,-1,-1,563231,808924,844782,207169,564699,-1,-1,950113,-1,-1,528430,636560,759163,-1,243690,974323,-1,-1,581665,116089,-1,968146,-1,682934,-1,-1,-1,242073,391736,675944,-1,244114,334425,-1,-1,-1,615408,-1,907704,310259,90624,-1,-1,-1,-1,-1,780845,-1,-1,-1,260212,-1,-1,-1,-1,-1,648547,-1,962732,749465,-1,685045,-1,519254,-1,-1,-1,234416,345475,348164,339300,-1,-1,-1,-1,-1,452944,771770,959070,51929,-1,559666,-1,-1,-1,767352,-1,-1,-1,-1,-1,-1,235143,908041,426621,96727,159224,-1,53342,-1,395253,-1,-1,662367,16650,425026,-1,837846,-1,222539,663193,-1,665870,-1,-1,453148,837552,608681,190742,921212,-1,-1,440742,-1,193421,255233,357320,-1,201915,947791,536590,519828,-1,920713,369882,-1,-1,-1,-1,-1,-1,-1,833305,911791,129998,985737,317230,-1,129458,-1,240620,566990,-1,-1,-1,-1,-1,948149,-1,488990,250523,-1,786392,599027,666607,816802,-1,305726,342225,-1,-1,-1,-1,794715,-1,-1,37623,429734,793525,-1,405222,13507,-1,-1,892645,538929,-1,154965,761840,308792,-1,894060,-1,265317,-1,665372,836948,698340,-1,78316,-1,407064,-1,-1,688244,702105,872949,486883,-1,-1,-1,-1,233729,734135,-1,551389,-1,-1,648187,-1,-1,-1,831995,-1,347937,-1,-1,539995,-1,-1,-1,-1,-1,818923,520315,-1,-1,-1,868600,319997,-1,-1,-1,-1,-1,-1,-1,-1,703499,-1,-1,-1,-1,-1,-1,-1,220983,-1,-1,459861,306984,-1,-1,568164,-1,562353,-1,-1,-1,-1,-1,-1,230720,-1,-1,422807,425242,33200,-1,-1,937393,-1,-1,707331,-1,855922,851776,561310,456260,41554,-1,110348,-1,-1,-1,-1,559130,466321,-1,263212,799523,-1,854427,-1,-1,388466,48271,480214,518774,535542,157407,999468,777856,-1,780775,53777,985229,-1,-1,17357,161954,-1,755910,-1,506498,968641,683405,-1,-1,926559,-1,180985,156809,264815,78743,-1,924994,718604,-1,589127,473047,184568,-1,528731,245301,-1,-1,-1,52552,-1,512988,286849,309346,-1,780681,668282,238516,-1,515877,532574,145819,411633,-1,-1,-1,-1,-1,470777,209636,49824,119741,-1,482801,902118,-1,-1,252463,116322,-1,-1,-1,207544,385876,671918,992974,-1,957056,575837,-1,920915,556443,193014,176588,-1,-1,-1,166291,380204,-1,-1,496272,-1,821025,374788,-1,-1,698225,172047,904057,-1,-1,373407,443662,-1,-1,-1,-1,-1,395257,-1,304502,325301,285863,-1,-1,-1,716672,-1,572374,-1,-1,-1,-1,195004,-1,-1,56926,-1,-1,-1,-1,164528,-1,-1,490636,771364,643502,984334,164329,-1,-1,406956,925277,779541,907806,569661,776782,410816,438328,-1,-1,317955,845685,897342,395355,-1,-1,404493,-1,-1,302888,506159,-1,788370,385131,813535,972250,-1,-1,159053,-1,-1,968208,-1,-1,-1,-1,555533,181094,318914,52113,-1,-1,260358,-1,-1,-1,952998,-1,-1,-1,832855,597751,233519,480744,222757,-1,-1,-1,619261,-1,585517,910148,-1,-1,-1,-1,739481,911107,465322,376732,878488,774693,-1,348841,-1,-1,-1,-1,-1,896323,883097,-1,-1,801034,281571,534956,915827,653989,311443,-1,-1,855434,6817,-1,151069,620904,146114,-1,-1,-1,-1,812284,-1,245020,950357,909505,-1,609293,423827,-1,9038,-1,850945,953342,-1,-1,401533,702451,-1,529486,365359,743104,-1,869170,380470,743391,-1,948230,-1,-1,563427,239130,-1,-1,849420,790370,935154,-1,-1,308494,816359,390695,495591,-1,923241,-1,-1,601935,-1,576069,548914,-1,-1,981117,-1,-1,-1,-1,-1,456878,-1,295497,-1,429952,-1,-1,-1,-1,-1,533341,349843,-1,59804,734051,-1,39827,52351,766704,-1,-1,-1,-1,-1,364815,-1,-1,-1,-1,219777,17282,-1,-1,121022,-1,-1,-1,193960,-1,-1,323904,210205,-1,449786,941050,625001,-1,-1,-1,-1,251119,-1,576971,984120,106760,-1,-1,185649,928254,485371,698811,571344,-1,596485,-1,-1,867272,799697,-1,-1,418188,-1,445065,555526,735284,665064,713722,-1,804593,-1,-1,280633,-1,-1,-1,790275,701169,215913,433839,-1,-1,445214,675079,517335,738621,232864,505100,-1,-1,127355,698294,375723,-1,284725,-1,376196,-1,701087,780373,-1,373874,770610,167222,-1,-1,-1,431046,828192,242262,863347,91586,298173,-1,-1,-1,-1,-1,75575,-1,782036,560213,912701,-1,-1,691431,-1,520354,331178,-1,-1,902640,216399,697587,836610,424756,-1,-1,-1,-1,661276,990140,-1,174055,97950,252110,764034,956940,62790,-1,670331,840938,-1,827043,731110,872209,637373,760103,-1,912038,-1,-1,445514,310423,840366,485534,-1,111361,422380,-1,-1,379275,86210,-1,-1,327340,309054,713134,435320,-1,-1,905690,-1,924567,113584,593621,-1,992969,942272,-1,-1,790801,344898,594127,-1,-1,-1,901973,706990,579911,-1,847251,-1,-1,775442,-1,-1,523602,-1,577130,-1,151724,-1,420014,626470,-1,-1,-1,28789,858010,665638,207044,958546,-1,118869,472530,-1,815451,164797,758984,-1,-1,-1,30636,158448,499798,-1,-1,-1,398696,237067,-1,-1,767137,-1,436715,-1,-1,-1,-1,107043,-1,-1,240688,-1,505450,-1,-1,902977,-1,-1,596129,-1,-1,-1,-1,275958,-1,54171,-1,369288,203884,-1,-1,859475,192624,-1,771174,614085,-1,-1,-1,490538,-1,-1,264884,105472,-1,-1,65737,-1,155100,780537,-1,-1,-1,341821,755383,656749,360910,453331,-1,-1,-1,-1,-1,-1,-1,885801,-1,-1,610558,777812,586077,84766,-1,867177,-1,136099,621322,-1,-1,-1,-1,532869,776618,719503,-1,-1,508121,-1,186323,159312,-1,308241,292005,668056,-1,-1,615049,52518,-1,-1,420672,198137,719286,-1,-1,885727,-1,637916,726609,-1,370891,627952,427894,-1,-1,-1,-1,576185,-1,817846,251586,69579,209163,419707,-1,-1,834541,774097,829981,270399,-1,-1,416469,-1,207699,205958,-1,271254,315545,876365,-1,-1,-1,-1,333872,-1,-1,-1,-1,-1,-1,-1,634697,-1,734207,227982,646254,345735,-1,-1,-1,-1,431985,314391,-1,-1,470738,751455,747143,-1,-1,-1,854230,-1,998115,44801,477026,-1,449654,610675,-1,593993,404082,-1,347495,-1,968948,538200,664510,-1,-1,-1,862624,58355,-1,-1,700739,924349,-1,-1,-1,180003,184756,-1,643743,-1,709546,736851,-1,764120,2835,70486,116528,704312,452606,533944,39528,-1,881411,709243,301409,-1,129221,641649,623456,-1,-1,655875,350131,49499,769084,37493,-1,-1,828314,896327,-1,223012,-1,-1,380846,-1,-1,-1,-1,220204,-1,-1,-1,-1,-1,-1,-1,838602,-1,199483,-1,-1,-1,418403,91995,545526,3613,18178,352197,-1,-1,50927,-1,423672,-1,-1,531342,178169,799567,56691,-1,510056,642768,148135,575372,241184,859299,-1,-1,421438,875454,373049,778156,-1,-1,-1,-1,686539,853569,-1,-1,-1,348081,757457,-1,323077,522563,-1,-1,-1,762657,563151,416162,939066,280743,655881,380634,883910,-1,-1,-1,359156,-1,-1,935629,859427,596804,230816,-1,-1,660701,-1,649217,-1,-1,709117,248571,-1,-1,-1,683004,-1,16978,-1,761916,283238,-1,536317,946950,87074,325921,697265,-1,-1,787206,-1,718695,270182,28282,41168,-1,-1,-1,-1,-1,-1,-1,953879,-1,336359,397800,909260,371766,364148,176784,-1,593809,622902,742498,-1,-1,469746,588189,-1,153361,77949,208322,133660,-1,445403,304097,-1,552004,-1,92795,865464,303384,448532,161410,555210,689257,-1,-1,-1,188358,859332,-1,668238,-1,948873,519341,615852,-1,476785,-1,-1,872154,-1,-1,723741,305172,79910,431468,-1,-1,255748,-1,822026,-1,-1,-1,-1,-1,-1,500390,392375,856834,-1,97739,761322,513958,-1,906835,-1,160058,-1,-1,-1,-1,-1,-1,169900,720192,771066,542222,-1,-1,-1,117311,-1,747008,394637,-1,228011,586765,-1,595159,49524,-1,-1,492913,1035,53681,941043,-1,940608,284871,561168,-1,301684,554860,-1,286228,132878,-1,289651,-1,6476,-1,-1,-1,-1,-1,-1,-1,11582,625140,-1,-1,155405,943396,794776,211412,-1,-1,-1,-1,19822,-1,19880,113136,249266,-1,340991,149976,-1,-1,-1,-1,-1,-1,694157,995467,-1,-1,-1,856887,940771,-1,802120,-1,113963,-1,-1,-1,898717,-1,113602,-1,217315,-1,-1,-1,-1,-1,568369,-1,485716,917713,555777,421506,-1,-1,-1,-1,-1,642313,42733,425397,202530,-1,-1,191603,652747,-1,-1,-1,-1,-1,-1,293531,162660,-1,-1,36426,-1,-1,-1,749868,-1,-1,-1,-1,707439,124077,692406,540068,882968,25893,811405,577291,-1,-1,-1,-1,-1,449525,208278,-1,-1,81321,461418,363093,895200,-1,-1,-1,19601,-1,-1,133565,294963,-1,962814,-1,789184,-1,-1,773731,876370,-1,-1,851196,79617,160772,-1,254549,-1,922921,659941,148423,322412,613345,648221,-1,-1,-1,36623,-1,-1,706079,-1,965750,-1,-1,-1,950596,184234,174027,-1,654961,461627,399914,-1,-1,-1,-1,-1,743599,961559,812184,948795,185265,824484,-1,-1,621315,-1,-1,-1,968526,-1,39353,-1,42184,490300,-1,-1,-1,914241,781017,106928,-1,680633,376671,-1,69677,-1,260877,929582,81579,-1,-1,828510,953813,212843,430458,-1,-1,-1,-1,-1,941724,-1,-1,565035,552565,-1,-1,-1,692419,-1,830633,-1,574744,181185,-1,619666,-1,543184,-1,204909,803760,-1,-1,-1,-1,437191,-1,185879,-1,184515,827595,527880,-1,-1,-1,-1,407566,149608,-1,-1,-1,276350,-1,96114,810064,-1,105933,653702,455433,898555,-1,279445,689621,401564,578812,917381,622645,709517,-1,-1,-1,-1,289899,912023,747944,785736,-1,718214,232274,747220,380503,-1,-1,323721,-1,294738,591758,496717,-1,-1,957234,834180,-1,962153,809043,651928,-1,-1,324967,-1,762328,313387,647536,-1,-1,-1,369012,-1,403854,-1,-1,-1,842786,337390,-1,180328,546496,-1,-1,874479,-1,-1,356426,99957,959954,939840,674504,-1,-1,-1,-1,-1,906848,-1,666143,359117,-1,78166,492,615787,-1,-1,-1,616476,50821,-1,984812,-1,-1,-1,12221,475974,-1,-1,-1,331180,-1,-1,682441,660238,-1,362392,-1,-1,-1,-1,518207,-1,90378,-1,-1,-1,-1,495507,-1,986910,235494,933311,577155,802010,182674,-1,642826,258147,378525,-1,-1,981082,-1,873428,-1,344354,356536,-1,-1,30340,387790,846144,385725,-1,141229,99305,458079,247407,766020,326872,-1,-1,-1,777808,-1,34009,-1,-1,216585,-1,-1,-1,-1,-1,-1,754405,-1,652296,-1,451992,-1,324747,-1,459405,-1,-1,703815,-1,-1,-1,-1,907321,-1,415630,403508,750309,600688,739655,-1,808228,448743,544626,-1,-1,-1,587770,833285,-1,293652,-1,914792,-1,717850,648489,589411,-1,650229,-1,-1,-1,325017,-1,-1,-1,-1,24179,518021,-1,-1,261145,287327,-1,229044,297694,-1,-1,-1,-1,555774,-1,-1,33750,-1,334501,-1,477874,211496,561138,49948,743372,-1,911436,633533,744422,503811,-1,-1,-1,579504,-1,-1,775317,742969,-1,-1,565046,676112,-1,642198,-1,-1,796584,348295,676451,627747,571059,882505,-1,241210,-1,270237,917863,-1,-1,-1,-1,-1,59445,601256,566026,-1,71914,-1,-1,217131,-1,-1,419049,111765,-1,-1,995114,685500,-1,396489,454847,49818,981672,-1,-1,593594,-1,48503,439797,571790,-1,-1,466740,627389,358042,-1,-1,-1,-1,-1,-1,856884,427349,614225,-1,520695,-1,-1,311872,999640,-1,-1,-1,562265,585493,715954,456456,-1,687076,861727,-1,-1,-1,-1,102824,848270,298811,481191,-1,47225,765397,207622,864140,-1,-1,-1,633073,775702,340716,215880,-1,-1,722916,-1,505565,-1,488553,-1,608102,10109,977460,-1,644970,879521,-1,-1,-1,324027,-1,-1,-1,154277,-1,-1,-1,-1,-1,205754,-1,8640,-1,-1,565944,485116,618509,-1,-1,425044,324218,424043,342714,192925,94034,-1,808129,-1,-1,166261,996801,-1,597139,866552,-1,-1,234179,957604,-1,874634,684880,-1,664647,437926,580385,163620,-1,-1,-1,378382,-1,108156,60271,-1,717085,537229,112740,709922,-1,732388,185791,401172,813976,55488,-1,674191,-1,-1,84354,-1,-1,297551,-1,893745,118785,-1,760730,-1,-1,-1,-1,563499,618797,958252,-1,-1,441617,-1,144307,230890,-1,-1,-1,-1,787861,-1,-1,-1,478529,988047,-1,497683,595622,960849,315084,-1,735890,-1,912330,-1,499106,71826,-1,647761,343467,-1,783896,628432,826915,412528,-1,-1,359965,-1,723506,-1,-1,-1,668941,837796,-1,605340,-1,777409,-1,-1,478233,-1,815492,-1,498966,726834,552806,-1,-1,168039,209080,-1,956980,449416,637078,-1,-1,128429,-1,-1,399941,788290,-1,480963,923151,323776,-1,756032,532650,299999,-1,-1,-1,983870,414674,-1,-1,756629,-1,-1,644206,682966,-1,7587,415940,364041,795286,-1,-1,-1,-1,226628,-1,39760,-1,361332,-1,134925,101578,-1,256128,-1,736238,31050,-1,239366,-1,966770,219429,-1,167341,379762,964071,569882,-1,-1,-1,615300,633625,-1,-1,-1,-1,-1,215744,43188,-1,194126,806881,115732,-1,-1,-1,844064,85306,-1,3470,-1,-1,-1,-1,-1,558095,-1,989765,-1,598243,-1,538134,-1,108112,484768,49272,-1,685614,-1,643351,-1,221399,-1,171949,-1,292062,334441,273230,-1,-1,944673,-1,876092,333094,397444,-1,-1,-1,215656,-1,-1,580846,-1,-1,415207,29240,-1,-1,-1,966933,-1,696700,26217,267321,-1,719787,351221,218315,710079,-1,667956,677151,96994,661880,487982,-1,47252,-1,919409,-1,-1,14029,-1,10276,74819,-1,-1,-1,336261,-1,-1,-1,-1,132524,861203,638401,-1,-1,757447,-1,-1,-1,-1,602492,850922,12040,137778,425001,-1,-1,-1,-1,840535,395672,-1,-1,25971,-1,-1,168264,798398,-1,975382,-1,-1,955898,-1,-1,813767,826978,185254,566019,825985,-1,-1,-1,-1,-1,926849,825493,-1,319727,-1,-1,725471,-1,359774,649582,913320,377385,181503,730696,-1,-1,533513,-1,-1,139699,304843,-1,981830,-1,-1,-1,-1,275478,445776,-1,620661,315695,443306,-1,601380,635331,-1,-1,35265,-1,-1,-1,-1,-1,11759,466797,-1,739181,-1,-1,908989,-1,392715,101137,271214,751129,321369,-1,555252,-1,383370,-1,746549,188450,-1,892548,579792,283893,-1,-1,-1,-1,59540,331296,-1,-1,-1,590378,858300,41380,384578,-1,196902,-1,624038,858346,599180,687780,-1,179661,-1,-1,398899,-1,446833,822359,-1,845606,-1,771848,809264,-1,320436,-1,-1,154558,673748,775248,579685,-1,687981,991724,917809,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,759582,157862,-1,-1,-1,-1,836996,473804,-1,-1,-1,925179,-1,874888,-1,-1,-1,695518,-1,-1,-1,500835,-1,-1,-1,-1,524555,-1,-1,-1,-1,-1,-1,-1,78562,-1,597239,-1,-1,-1,398815,129533,-1,-1,729721,-1,154907,-1,-1,803162,117082,-1,422174,251165,-1,477755,582256,677557,-1,-1,-1,-1,873169,341891,-1,948049,-1,692462,-1,-1,292698,231652,161787,310382,801713,-1,-1,903093,243179,266159,733028,-1,-1,687065,694164,-1,-1,232996,-1,-1,830896,-1,292148,-1,-1,691595,-1,-1,385381,57985,-1,91953,-1,690816,-1,-1,711253,450571,-1,461463,-1,-1,-1,921781,-1,-1,877717,506548,-1,-1,-1,-1,920757,-1,-1,965785,-1,-1,938622,603561,238961,699871,648584,32360,693429,901922,988114,-1,-1,681267,-1,85686,-1,534340,585793,-1,993666,-1,794632,-1,981038,-1,-1,-1,-1,-1,-1,-1,-1,-1,404944,-1,-1,-1,28938,-1,339836,-1,322144,100834,106,153284,886737,-1,-1,951671,-1,187409,-1,285217,-1,458750,575814,-1,617421,72141,-1,-1,-1,-1,57802,178991,-1,-1,-1,-1,-1,-1,-1,964043,596720,-1,-1,-1,87669,-1,-1,253264,-1,-1,-1,-1,-1,578725,21135,-1,757053,964810,510257,-1,15589,-1,11956,323572,780399,-1,985273,690326,290335,279602,-1,-1,-1,920754,-1,331746,587712,505318,653766,-1,-1,-1,966682,514308,765127,301454,595347,463506,276794,-1,681379,-1,-1,-1,-1,-1,227985,176449,282152,343077,635369,-1,-1,805614,512316,93373,345095,-1,254379,737339,-1,455326,-1,-1,-1,-1,989871,506201,382484,304058,812713,766360,-1,140488,-1,94054,891487,-1,908306,325387,329063,-1,-1,438402,-1,229283,-1,-1,-1,514713,589175,464140,536466,109450,758126,-1,-1,623216,-1,3690,-1,467106,-1,-1,800122,810275,917773,-1,813666,441478,740524,-1,374549,176947,-1,-1,989911,503016,997116,637438,-1,-1,432396,858311,966387,-1,-1,-1,-1,549779,-1,-1,-1,582709,-1,351320,-1,243049,-1,676644,-1,37340,-1,305818,-1,-1,315267,173839,768843,-1,905210,-1,-1,154492,-1,-1,139483,571029,-1,-1,833739,752848,-1,-1,-1,723715,-1,717069,244409,-1,199908,33441,-1,-1,-1,-1,-1,-1,-1,-1,-1,904177,74874,573177,-1,-1,-1,-1,107279,927016,956826,-1,-1,-1,-1,596414,-1,833297,-1,393648,-1,-1,-1,-1,499342,693778,100411,-1,-1,443068,-1,-1,377685,-1,282888,-1,444136,145267,847171,71630,10948,192547,-1,-1,-1,-1,900409,-1,-1,825441,-1,-1,-1,702748,-1,-1,551791,-1,-1,-1,326553,233337,825419,-1,-1,496067,-1,403127,-1,-1,-1,-1,-1,987759,-1,-1,-1,112941,-1,-1,-1,673892,-1,-1,321626,102890,-1,595866,-1,922925,567469,-1,278416,-1,-1,391296,455309,-1,-1,982655,344239,-1,444185,542983,-1,153523,-1,-1,569761,-1,949827,-1,-1,112423,959087,390349,-1,949961,-1,864598,463033,134756,-1,-1,762333,-1,801585,-1,166284,-1,-1,-1,-1,-1,9977,275108,-1,-1,190330,-1,365147,-1,521673,-1,450757,903675,392143,566559,98552,991831,116751,83761,834110,614341,957688,-1,-1,870549,754598,407302,-1,-1,-1,954966,53955,666165,-1,-1,260895,882973,970055,200317,-1,745922,-1,314237,-1,-1,589881,-1,577863,-1,599144,357560,-1,-1,638299,-1,-1,590762,-1,130511,-1,-1,219077,-1,-1,868347,-1,-1,549059,-1,-1,-1,-1,-1,-1,711554,-1,-1,70371,401032,-1,194116,88251,-1,466405,976171,-1,-1,814568,887635,402070,-1,-1,-1,-1,768552,176221,794480,-1,-1,166296,-1,179246,683495,-1,451251,998521,-1,994710,512284,-1,300156,467912,429358,741383,-1,450934,799724,775165,-1,103571,-1,182597,-1,-1,-1,341071,263156,211542,825974,-1,688536,797651,-1,681325,-1,-1,344035,743069,11453,-1,-1,191871,-1,911674,336555,665142,825625,218993,-1,-1,839862,103619,-1,363782,839526,557956,-1,224879,149602,-1,167756,-1,833640,409608,773088,-1,373133,958532,-1,-1,369582,-1,-1,87335,684609,373494,986650,-1,978215,440159,424384,-1,41595,321713,-1,325571,897343,-1,731509,-1,171488,-1,427098,128117,286049,973650,336219,-1,774084,-1,-1,633810,-1,419601,592144,603757,413606,115447,341059,-1,247821,1430,-1,12241,-1,-1,868443,-1,-1,524731,144291,-1,521947,-1,-1,-1,909885,199127,-1,498981,-1,52010,-1,-1,-1,813391,274472,769434,-1,-1,645527,355376,961658,-1,647687,430804,-1,848041,503733,-1,656761,101651,30846,-1,-1,-1,-1,-1,405279,611597,255821,116969,136000,539671,-1,879307,604260,887498,579926,-1,412653,43687,988101,833136,-1,-1,-1,-1,157039,375265,-1,558506,-1,902692,654343,777181,614823,-1,315702,-1,689001,-1,-1,844154,885568,131909,-1,-1,-1,-1,-1,-1,177178,-1,977004,302948,48428,478645,-1,-1,320157,-1,-1,-1,572044,601034,636634,679515,-1,342140,-1,-1,-1,-1,-1,79423,859887,-1,338447,755663,-1,361028,-1,-1,851172,-1,-1,-1,-1,-1,245385,-1,484945,226180,-1,-1,-1,25113,324219,-1,-1,384309,-1,-1,156679,-1,-1,-1,-1,-1,-1,517062,696455,985883,373485,-1,-1,358128,-1,-1,734404,906216,248844,451838,789164,608800,959621,163330,698450,275088,165005,-1,1635,468408,670582,599512,-1,-1,-1,-1,-1,-1,52446,-1,-1,986187,-1,-1,-1,591343,243190,-1,353559,-1,-1,358590,47131,136966,483669,-1,-1,-1,-1,179222,319223,-1,-1,719925,-1,50096,-1,939781,-1,612580,-1,960772,-1,-1,-1,324390,752505,-1,-1,-1,522674,-1,-1,751819,48510,-1,298844,-1,76965,-1,-1,159146,-1,-1,658599,873660,544341,-1,-1,-1,-1,874223,-1,-1,-1,-1,473751,293599,-1,294471,925559,840430,-1,453449,560588,27439,208175,-1,910417,-1,384012,432889,763883,-1,-1,981860,-1,-1,-1,-1,316404,621485,259646,711106,438635,461320,-1,871988,-1,-1,485877,-1,157946,-1,-1,995291,915210,203680,340682,668123,-1,77554,-1,825033,-1,946174,364932,-1,-1,791260,-1,629715,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,618792,874030,-1,68293,-1,83955,517984,-1,577588,-1,985338,781737,193656,-1,-1,-1,-1,466106,622680,-1,-1,-1,292002,-1,616686,270628,485697,-1,-1,-1,-1,352904,-1,-1,-1,855323,300292,-1,396683,109881,945365,184574,-1,-1,290048,-1,891627,-1,-1,-1,997260,355278,796977,-1,751181,218130,612329,-1,116846,38324,335072,536816,427384,815400,-1,-1,-1,-1,802421,125645,505859,-1,808722,279382,-1,-1,-1,946957,563795,-1,-1,-1,797001,507233,-1,-1,716609,-1,136932,-1,-1,-1,778879,461991,-1,-1,738231,372489,-1,-1,-1,783322,-1,303270,-1,496400,199683,-1,996879,-1,237804,-1,481611,638513,-1,-1,576683,-1,-1,112658,395424,-1,-1,-1,649614,923043,-1,414207,863491,-1,291503,-1,-1,985057,-1,402280,-1,771865,898063,466941,-1,-1,280980,-1,978027,497725,6923,946840,-1,-1,-1,-1,529936,-1,-1,-1,187257,924327,-1,-1,645238,-1,-1,-1,-1,733710,175080,-1,282548,190191,-1,-1,813145,611467,-1,718310,491232,-1,954218,150347,-1,-1,-1,-1,897714,330378,464226,670798,-1,930024,-1,999470,-1,867542,-1,980119,952732,677266,985560,-1,-1,-1,334473,475248,-1,-1,-1,-1,818151,-1,-1,918939,475260,-1,-1,-1,-1,-1,-1,167072,-1,-1,764971,514641,5696,8617,-1,-1,363790,-1,-1,-1,-1,-1,121275,748990,560934,-1,-1,-1,-1,-1,441808,-1,-1,228586,946590,-1,361674,687427,-1,-1,304078,966626,-1,-1,-1,714155,-1,-1,-1,118684,221897,484771,158714,874380,-1,875437,189403,-1,-1,-1,496492,480233,308742,31152,949372,793190,90118,900063,-1,561191,-1,-1,-1,601812,-1,-1,65386,-1,868135,-1,-1,946377,-1,474771,221405,81478,-1,953829,419167,-1,-1,649474,794545,-1,-1,298294,24875,624926,471660,-1,-1,558513,16824,-1,316462,763593,-1,-1,689842,648505,876185,647793,-1,256373,-1,967324,-1,-1,558085,-1,-1,535638,145439,-1,-1,-1,-1,-1,288348,358417,-1,-1,514456,-1,-1,-1,-1,405563,748674,495700,-1,-1,708989,-1,-1,-1,521454,-1,18879,-1,-1,-1,986309,92079,180388,956523,-1,-1,-1,459814,-1,281402,-1,-1,898952,712730,-1,975226,-1,-1,-1,-1,112313,751606,313904,-1,92863,-1,170870,630303,-1,987689,-1,671598,326993,500006,-1,-1,706740,-1,-1,-1,-1,-1,-1,-1,-1,866369,-1,-1,-1,-1,29069,-1,593806,-1,276750,-1,827563,281574,-1,96197,734264,780239,331721,622110,959219,-1,-1,-1,-1,525296,339508,-1,-1,-1,-1,965357,-1,-1,-1,-1,488386,-1,-1,-1,284026,732536,-1,933493,-1,622726,-1,378505,244172,473456,-1,-1,521955,661669,440425,-1,873917,-1,-1,825396,703984,541474,-1,-1,703334,994060,366906,797072,793723,-1,-1,-1,112897,651004,688930,-1,-1,559451,-1,197332,-1,-1,-1,-1,489432,-1,-1,-1,-1,990946,138234,-1,-1,-1,651157,-1,-1,-1,200940,-1,-1,-1,-1,-1,696974,-1,3573,313677,-1,130086,624546,35809,314786,-1,618257,210359,-1,58343,-1,193610,-1,772310,-1,436977,-1,-1,-1,-1,-1,-1,-1,-1,519805,18860,731186,425418,861437,-1,371223,-1,-1,535587,-1,37504,-1,-1,895099,897510,-1,364713,549828,-1,-1,-1,937894,-1,-1,347129,28989,803279,-1,-1,-1,-1,-1,903924,-1,-1,161749,-1,-1,218552,-1,-1,-1,970329,849577,19209,233824,322504,-1,-1,-1,982333,680858,142139,197418,793468,-1,460632,-1,-1,712769,679681,-1,605064,-1,11896,-1,146038,-1,127433,88624,-1,351910,994820,-1,688535,-1,-1,315185,-1,374987,638348,-1,402349,-1,635634,546557,266465,-1,-1,880448,348169,99437,-1,-1,-1,631362,848542,-1,311917,-1,654934,65286,780824,-1,-1,-1,-1,-1,-1,657504,784409,672883,-1,-1,19917,228440,997764,54119,-1,-1,-1,186521,328146,379586,-1,-1,-1,-1,-1,531995,-1,349565,-1,-1,-1,448795,-1,765405,10257,-1,716300,382217,-1,102934,198857,214212,951802,635441,6600,831321,-1,-1,476190,619124,-1,728490,-1,626058,-1,744571,342226,-1,-1,-1,246460,-1,700115,-1,-1,-1,386734,-1,738230,789830,-1,-1,205473,319049,-1,286579,-1,-1,653402,805371,-1,-1,264324,829889,761685,929465,555812,-1,841468,-1,-1,141794,-1,-1,184314,276185,-1,784684,-1,650561,681990,456016,-1,-1,484616,46150,-1,273595,884122,664793,15914,-1,620292,-1,322798,-1,33115,-1,355269,-1,769877,-1,580600,-1,-1,251783,722009,-1,-1,180570,129025,851364,992810,-1,457981,103936,463723,149375,147089,410731,-1,-1,848271,243359,351108,225305,-1,273862,-1,587494,397939,956583,156690,-1,-1,968816,252424,963836,-1,-1,943046,798502,832921,49338,694880,-1,259850,-1,692498,-1,-1,-1,597321,-1,994903,597006,-1,39969,341969,-1,172075,677079,-1,-1,-1,-1,-1,299190,-1,-1,12682,-1,281093,355044,-1,712156,749822,-1,724105,86980,-1,-1,7513,-1,695492,547205,202724,-1,-1,-1,425985,30453,-1,306860,589134,986406,-1,238694,-1,-1,-1,306351,-1,-1,247660,-1,-1,576820,-1,642341,906222,-1,127086,-1,-1,351479,-1,302441,395734,-1,-1,-1,282697,836312,-1,272892,348456,-1,565387,29905,411123,151917,-1,885206,-1,-1,-1,648100,-1,-1,467474,-1,-1,-1,940860,-1,-1,-1,892961,461764,-1,-1,-1,-1,-1,-1,371970,-1,712288,-1,-1,469460,-1,-1,-1,-1,-1,-1,146275,782149,-1,-1,701247,-1,-1,511948,-1,-1,-1,-1,538012,-1,870388,415246,-1,422343,319985,510064,-1,575694,38029,-1,-1,-1,-1,-1,-1,-1,807873,-1,-1,-1,-1,-1,-1,274571,-1,74164,-1,513555,-1,837143,-1,412223,445491,-1,-1,-1,-1,238520,-1,-1,898554,-1,452415,-1,444384,-1,-1,-1,-1,137296,404449,-1,718479,-1,-1,-1,-1,434931,123063,769773,-1,-1,-1,-1,-1,-1,898647,-1,719917,-1,635992,-1,-1,-1,50197,-1,602449,-1,-1,595377,850728,588177,-1,-1,-1,635911,-1,-1,200470,-1,-1,-1,983816,-1,13962,755574,-1,776157,-1,-1,682916,-1,569956,471400,845290,-1,-1,-1,423488,-1,-1,-1,-1,250595,-1,340132,585073,40857,373595,-1,330016,-1,-1,830816,919563,557617,-1,555649,529515,-1,828017,-1,-1,312347,129564,-1,-1,280085,-1,-1,-1,-1,-1,-1,-1,63486,-1,374022,-1,-1,-1,443913,824928,325776,964260,918367,-1,419591,491386,-1,-1,269571,-1,292284,723016,-1,-1,-1,-1,-1,-1,-1,959405,246311,-1,-1,-1,-1,127474,-1,-1,753019,-1,693670,-1,362049,991525,504196,354849,927854,129271,-1,765604,25149,-1,621837,608568,435404,-1,-1,-1,-1,224816,509908,46575,-1,-1,-1,116211,-1,410101,154321,-1,-1,539448,-1,146380,248141,90865,-1,685313,204452,821622,-1,329814,-1,775598,515505,102818,-1,-1,-1,-1,-1,53839,407495,584765,278289,773486,-1,-1,443040,368641,-1,-1,522294,-1,810770,285077,434020,-1,-1,678297,-1,812152,783178,624005,-1,59740,983987,19561,-1,234050,115646,-1,462014,633655,427813,-1,-1,681919,940202,863160,445425,-1,-1,-1,-1,655456,140994,-1,637478,162688,978049,-1,-1,-1,616320,856921,-1,300821,456552,-1,194616,308522,-1,-1,-1,-1,-1,-1,-1,-1,688993,-1,640425,-1,-1,16477,964402,855599,670358,-1,-1,672531,-1,768877,-1,-1,14413,503885,790765,276034,-1,53725,851290,-1,-1,-1,-1,-1,828178,-1,554182,730164,384534,-1,16813,362109,-1,608474,680686,-1,708772,53081,957554,111906,245896,-1,259540,577331,715082,-1,986218,58001,95819,-1,-1,820416,-1,-1,-1,-1,-1,-1,-1,-1,405475,441052,568257,880268,726572,12418,321449,823814,622607,978616,-1,297858,-1,815448,16164,-1,363842,437995,817441,-1,950969,-1,-1,960069,625631,978287,-1,311438,701286,-1,-1,-1,872149,-1,475019,-1,557750,-1,-1,-1,-1,-1,193873,398666,-1,-1,-1,15927,548004,770080,-1,825614,977840,641212,-1,-1,811083,-1,-1,-1,251529,-1,558895,379834,757670,-1,40973,126900,-1,522835,223592,485597,-1,-1,-1,883017,-1,886477,-1,566967,-1,-1,-1,59113,-1,-1,-1,-1,615503,236148,207165,-1,495410,-1,759696,-1,-1,747214,520090,-1,-1,-1,-1,-1,-1,347407,-1,-1,679613,-1,-1,-1,426120,954020,-1,878613,-1,-1,-1,325380,-1,72670,-1,-1,-1,399683,616186,-1,136741,-1,259497,738181,-1,471128,-1,703458,248949,943907,987988,-1,-1,-1,426745,-1,757049,-1,-1,152669,-1,-1,-1,-1,156854,-1,-1,-1,200061,-1,-1,537272,-1,-1,-1,931789,852670,-1,507932,-1,222256,-1,209427,-1,416758,622067,-1,957111,452758,178068,907794,664570,602640,250814,439333,992679,-1,-1,475087,862889,-1,-1,-1,906477,341028,623744,-1,-1,-1,349049,-1,-1,169374,220518,-1,-1,413283,30375,729615,261361,-1,-1,-1,-1,458717,-1,621152,151342,424736,-1,932251,-1,-1,239584,-1,-1,-1,-1,-1,625232,564065,-1,766343,298836,837879,-1,-1,50107,764683,-1,-1,538495,20992,576055,163780,598911,-1,918536,307345,815444,243463,-1,-1,-1,324461,411825,630200,253198,-1,423117,431255,78684,-1,77493,654523,348519,-1,-1,-1,434058,848697,-1,-1,-1,789799,-1,-1,595144,242868,170950,465678,-1,118178,-1,-1,981208,816888,-1,725607,708664,-1,173409,-1,-1,7401,-1,686382,-1,505627,-1,-1,-1,-1,-1,122609,-1,-1,522441,-1,-1,-1,105213,18629,-1,623727,637429,-1,675069,304225,-1,283715,-1,623415,575550,421573,131005,913365,945791,-1,333828,902625,13158,-1,-1,-1,256797,843417,757926,-1,-1,624789,-1,-1,30574,121258,-1,319146,292649,195726,-1,-1,633925,167675,691387,-1,-1,-1,202784,-1,-1,107867,720144,-1,169964,924088,-1,382473,-1,-1,-1,762948,-1,-1,458689,-1,-1,65171,-1,124517,-1,-1,373963,-1,-1,8189,8517,183070,819064,-1,811692,222797,-1,988417,-1,-1,-1,-1,-1,-1,943555,10316,546464,694004,694965,-1,348298,343344,518563,-1,-1,-1,598521,271233,-1,775300,-1,631436,743356,-1,-1,-1,-1,720242,9352,136797,465846,720761,-1,-1,995448,-1,68183,-1,379106,-1,-1,-1,-1,-1,-1,-1,787995,-1,929364,-1,-1,-1,-1,-1,-1,-1,713692,696902,245163,-1,-1,869967,-1,681862,-1,975806,589534,-1,-1,548569,-1,-1,508113,-1,447132,547237,819295,-1,712227,424696,683443,837505,568707,-1,908097,-1,-1,33791,-1,-1,-1,867949,114371,576782,-1,-1,-1,685516,430954,857568,253150,-1,-1,885434,-1,900748,-1,-1,648642,-1,737102,344060,191423,751867,-1,562019,-1,-1,217129,-1,-1,93556,-1,-1,-1,378721,135438,-1,484298,-1,-1,-1,195384,-1,-1,172475,-1,-1,-1,482327,-1,-1,173277,177979,-1,479369,378531,232955,-1,309582,-1,864030,69897,167945,-1,495201,-1,535990,250948,-1,540203,620855,987981,-1,254342,370587,759594,-1,-1,365750,-1,499489,337651,884575,-1,645243,771392,-1,-1,-1,508044,-1,-1,671878,805373,829645,74318,-1,-1,662067,54561,24497,406405,789733,-1,-1,815730,-1,43392,-1,442620,832090,609726,-1,-1,280625,-1,312442,-1,-1,961638,-1,-1,-1,-1,-1,-1,-1,263433,-1,-1,-1,-1,585407,-1,-1,-1,-1,42845,-1,513057,140681,-1,187356,-1,-1,547765,-1,-1,945602,-1,234245,-1,135719,-1,-1,85724,597701,-1,497108,-1,-1,239417,-1,-1,710613,-1,658704,-1,-1,-1,571744,39757,724732,-1,208285,280950,651830,422730,513309,-1,-1,317047,-1,-1,-1,-1,830924,-1,282253,-1,806586,823025,489950,678287,967773,-1,599851,-1,351100,976417,110951,-1,414729,-1,791966,758482,-1,-1,-1,204046,-1,415683,-1,-1,-1,-1,-1,-1,-1,-1,581830,125637,-1,-1,794349,769129,-1,-1,899476,608108,101819,-1,-1,-1,-1,507087,502446,-1,817584,92299,-1,577840,-1,-1,-1,977951,-1,-1,-1,-1,-1,-1,129692,808352,574605,685250,992837,988804,-1,-1,-1,-1,547871,-1,52842,465792,-1,-1,519573,-1,-1,-1,-1,-1,410527,777706,-1,788655,871282,971761,75544,745131,-1,-1,-1,-1,-1,74239,-1,-1,-1,807732,-1,-1,-1,-1,-1,263171,757507,902754,934096,153846,-1,154650,376894,259639,42027,-1,-1,-1,-1,-1,726078,146546,-1,263083,-1,613561,-1,974958,-1,888125,-1,-1,887398,-1,-1,-1,504249,-1,586926,426484,-1,56958,504375,433952,153094,424105,-1,665362,280017,-1,-1,-1,-1,767572,-1,73277,-1,-1,-1,-1,787542,51115,629619,263161,802284,959835,840681,-1,-1,993267,-1,623713,-1,815735,887939,895747,619411,-1,932059,741633,791257,727803,332353,523159,62528,-1,131568,283577,631557,-1,-1,619656,884945,-1,331104,270468,-1,-1,392546,-1,-1,-1,-1,895107,931692,274365,273861,-1,476995,391516,-1,-1,-1,374681,154723,-1,-1,518901,-1,-1,551531,39818,-1,74370,467970,-1,-1,286434,-1,830311,23079,-1,117233,-1,330350,387356,695388,-1,183225,-1,-1,389564,107433,-1,-1,-1,918235,-1,321012,-1,-1,720912,782386,-1,763498,-1,301146,-1,-1,-1,113516,-1,-1,764008,132198,852191,-1,197469,-1,-1,697728,-1,278537,-1,641677,145559,-1,366883,164998,702792,-1,-1,-1,-1,-1,-1,642991,-1,182225,-1,636342,-1,-1,976879,36545,-1,311486,-1,-1,642262,203106,171997,-1,-1,398389,-1,-1,-1,-1,609578,46606,-1,-1,297537,616314,654693,298032,-1,602256,239947,-1,-1,-1,-1,593425,336547,-1,-1,-1,549978,-1,685371,864459,-1,958539,753031,-1,-1,146484,-1,-1,-1,804949,476476,226020,268920,-1,889208,236101,33136,-1,-1,433125,-1,-1,867737,-1,-1,-1,-1,-1,297520,128509,673586,-1,98801,-1,992064,37450,-1,253652,-1,-1,-1,-1,455858,443863,-1,-1,-1,644895,-1,-1,-1,768926,751202,176292,-1,284482,49352,520372,-1,-1,-1,-1,236113,-1,-1,-1,882910,565547,561932,58237,-1,-1,985212,340867,651171,-1,954252,980157,-1,-1,546926,-1,-1,-1,-1,-1,269687,540486,-1,-1,-1,685318,-1,-1,-1,865809,-1,-1,338906,432268,-1,902433,120280,-1,-1,878806,-1,622186,776812,527012,-1,912302,-1,118185,-1,598724,212537,735844,-1,361755,825828,-1,-1,-1,273077,-1,-1,207331,-1,-1,773210,775090,-1,-1,-1,20890,252192,354482,638069,899624,283263,673040,-1,257181,-1,182817,-1,-1,498099,855242,253296,-1,-1,-1,578757,771740,-1,955031,-1,239143,-1,325721,-1,-1,-1,-1,-1,219823,-1,-1,465016,809591,-1,-1,994242,-1,211956,-1,-1,724964,-1,-1,-1,-1,200072,922331,-1,-1,-1,-1,-1,93472,33528,-1,473126,972593,307013,581453,-1,-1,864715,-1,-1,-1,-1,689630,-1,-1,696750,-1,-1,-1,-1,-1,-1,511840,651553,281247,-1,-1,-1,-1,-1,423075,-1,260800,-1,277063,-1,-1,419636,-1,-1,266610,-1,-1,-1,123798,-1,747687,-1,583830,9561,-1,787862,-1,800665,-1,-1,-1,-1,837789,-1,-1,25788,679726,-1,366612,-1,-1,53583,855185,616426,105410,530555,-1,-1,676640,-1,-1,-1,-1,-1,490432,-1,-1,118584,-1,123664,26506,72041,656527,171035,922822,-1,-1,861443,280379,184265,456243,-1,-1,226738,373450,-1,-1,391102,-1,-1,-1,118742,708515,904458,-1,137211,395018,-1,111034,888550,833484,410507,-1,-1,-1,-1,-1,313833,58364,-1,40079,967378,-1,454268,-1,562295,669969,896519,-1,-1,-1,-1,995425,-1,-1,831060,391844,-1,317961,-1,506041,-1,259577,569709,794184,-1,578830,-1,-1,-1,400641,268721,528884,-1,118043,-1,-1,-1,305394,814955,-1,-1,-1,435938,-1,215000,276175,26867,58327,338435,-1,-1,534485,125922,792285,606679,957670,-1,473095,-1,612898,138003,-1,202046,-1,334700,-1,739838,-1,344190,-1,620453,662414,27464,-1,-1,275681,121595,516441,162265,721946,430745,-1,392957,315827,715727,180425,-1,376620,-1,-1,-1,267650,-1,325556,-1,-1,-1,459886,24322,-1,-1,275385,783543,102821,305819,-1,-1,663350,54247,-1,50422,130304,-1,882718,169974,-1,-1,-1,621413,910169,-1,-1,-1,984818,283401,-1,-1,-1,607365,401230,956834,-1,-1,604447,-1,199703,435761,-1,74101,446501,686193,-1,-1,-1,714363,-1,-1,-1,-1,-1,760850,801266,-1,334946,-1,297594,916557,-1,889296,-1,105241,-1,553620,986904,522589,-1,-1,630300,124969,117247,723291,79975,343290,-1,367841,-1,-1,583837,-1,826961,771810,650270,327346,936049,110627,-1,-1,-1,-1,-1,631107,996899,-1,-1,-1,522571,555841,-1,-1,-1,-1,312184,658433,736029,-1,-1,-1,-1,983841,-1,-1,-1,4612,-1,670258,-1,384065,-1,652014,806916,-1,-1,352954,-1,-1,815568,218300,77612,-1,623197,-1,-1,-1,287018,-1,-1,-1,703471,160921,-1,-1,875461,-1,616555,283967,710531,276153,698386,177649,612958,284186,-1,-1,217495,507076,-1,493694,-1,972600,-1,122180,549989,-1,-1,-1,22880,598732,136643,-1,-1,378033,-1,247036,496142,-1,951146,510330,-1,-1,691217,997635,-1,353145,426046,887767,-1,661446,-1,-1,-1,-1,173468,-1,934252,-1,-1,796020,-1,-1,539291,874617,-1,247698,647884,-1,155731,53736,-1,-1,921888,-1,-1,503502,-1,36292,314956,892219,-1,-1,490417,-1,-1,540878,953781,-1,724708,-1,693962,-1,869875,997163,-1,-1,25709,-1,-1,229460,-1,-1,-1,-1,-1,793462,-1,22234,-1,-1,394939,-1,-1,520275,828445,372663,642358,-1,-1,-1,565148,-1,812931,29726,551478,-1,968024,243562,-1,-1,-1,650328,469014,26315,475444,-1,252892,-1,155256,-1,-1,-1,-1,181361,84833,-1,118751,-1,972123,-1,437355,-1,436646,223321,818146,637242,-1,-1,-1,666812,-1,402327,349866,-1,-1,-1,-1,849023,-1,-1,944704,82598,-1,379227,-1,-1,909102,-1,158916,-1,559814,-1,874360,490176,-1,832455,694252,-1,-1,-1,678818,-1,-1,661089,-1,461845,448935,-1,-1,220037,-1,-1,-1,-1,-1,267166,-1,-1,164509,288862,368357,667194,848569,-1,568852,-1,-1,-1,-1,895489,-1,847718,4869,-1,479716,897881,-1,305105,-1,-1,462406,-1,518271,824721,839762,501035,172021,-1,836121,496276,-1,-1,738500,-1,738815,-1,-1,981212,-1,-1,775040,597985,-1,492834,-1,953994,427636,-1,765487,175303,256713,-1,-1,-1,742019,-1,919788,-1,768962,-1,-1,-1,-1,-1,-1,-1,440494,-1,-1,-1,309472,-1,73479,166567,169748,51256,-1,-1,275615,-1,203535,835634,-1,637521,911367,540969,797333,-1,-1,289750,-1,687699,-1,936832,-1,473600,-1,-1,259483,-1,-1,-1,155485,922618,820325,-1,139520,-1,-1,-1,-1,745402,-1,-1,802467,-1,-1,-1,-1,336737,172591,-1,-1,526920,-1,133368,-1,-1,488580,-1,-1,-1,-1,-1,108637,654828,-1,-1,-1,66214,241393,-1,833960,213210,-1,-1,-1,-1,-1,420585,234445,712660,822576,-1,574530,791356,-1,-1,-1,227394,-1,434520,127234,442745,-1,408523,482968,-1,894539,-1,-1,980485,513243,529774,-1,302197,891299,-1,323212,413633,-1,416687,414828,942176,383712,586359,806406,317179,-1,-1,-1,-1,38533,710127,30704,118268,764834,660947,-1,-1,754016,959316,-1,-1,-1,202335,65655,-1,808657,-1,417676,-1,469388,-1,431473,-1,-1,-1,895500,140096,560627,-1,-1,-1,810067,412543,-1,-1,-1,-1,-1,-1,636640,259881,-1,357272,325743,946114,-1,523892,94892,92248,-1,-1,366188,113006,900342,-1,939787,-1,413357,338239,261910,-1,855506,390656,839757,-1,-1,-1,434137,836043,-1,427537,-1,-1,-1,-1,709984,-1,388394,-1,-1,-1,-1,-1,350858,-1,558005,-1,-1,763738,-1,686663,395159,-1,952479,920690,192308,902171,-1,-1,647395,691674,259880,-1,378185,-1,-1,310185,440496,317922,814907,87518,-1,825465,800381,998329,-1,160908,-1,-1,-1,587121,927084,-1,718497,850027,186310,981730,188158,180776,393677,-1,-1,-1,-1,-1,-1,195182,-1,33019,-1,-1,551999,403755,-1,-1,351925,-1,323323,97298,858456,143422,-1,-1,14955,-1,-1,-1,103344,-1,-1,-1,634902,235388,157144,130343,-1,238713,454855,-1,460199,760383,102399,360517,898888,376806,54125,-1,-1,-1,856285,856163,-1,23679,3849,-1,-1,-1,713682,421397,-1,-1,713347,-1,774445,-1,836287,-1,709285,116022,92287,-1,-1,60438,-1,1809,223593,464075,-1,154489,514850,132880,224252,-1,147859,714088,170607,818648,-1,89711,-1,134473,724550,803534,-1,-1,25599,-1,388237,-1,-1,119051,-1,263334,301179,-1,-1,-1,-1,291404,-1,605631,-1,578952,226274,498374,-1,-1,601985,604253,-1,-1,-1,811217,76849,98755,140646,-1,-1,448392,593029,612608,123146,-1,-1,511969,908915,43999,436829,683929,762523,745227,-1,947535,-1,-1,-1,787347,-1,449201,379672,-1,474894,86491,560112,37848,-1,453248,184736,-1,513656,-1,-1,764194,-1,-1,-1,921138,-1,184685,901460,520663,700025,376302,820260,71741,176259,-1,76217,-1,995166,-1,596761,-1,-1,-1,-1,-1,-1,-1,757510,628693,-1,701295,290627,329093,-1,863762,-1,364915,-1,-1,428846,-1,252387,843286,-1,383002,-1,-1,149508,472885,199489,997813,-1,558168,-1,52949,99492,-1,-1,-1,501177,185785,-1,537680,-1,-1,230960,365012,663003,281656,847400,482278,-1,-1,-1,-1,-1,848983,-1,-1,-1,-1,387566,622601,-1,335438,350320,-1,914824,669704,806260,291711,-1,-1,-1,926005,-1,108121,504195,347469,-1,119210,440223,-1,440393,338998,254692,462513,-1,-1,-1,120739,-1,-1,543649,-1,-1,-1,188983,-1,-1,-1,-1,-1,602496,-1,72322,875373,359213,-1,-1,-1,504602,949213,497652,-1,-1,-1,-1,-1,791872,-1,773648,-1,444082,-1,-1,-1,-1,-1,521599,305941,-1,-1,-1,838094,695892,708504,-1,711130,280129,-1,509502,-1,469534,666911,-1,-1,632343,180312,-1,-1,938258,-1,222598,-1,-1,-1,-1,819454,-1,321489,-1,-1,75811,245893,492907,-1,132820,-1,344437,155818,-1,-1,180867,-1,873456,222248,287851,-1,646569,791056,404144,-1,-1,-1,518172,-1,-1,-1,410540,-1,634547,716162,-1,-1,193823,-1,-1,-1,-1,-1,-1,73946,204432,-1,-1,-1,-1,-1,-1,319319,-1,992627,-1,-1,911570,832023,-1,939823,-1,-1,-1,-1,-1,339278,897425,-1,-1,-1,315784,-1,117334,600130,296774,-1,838426,-1,-1,-1,-1,577343,-1,890423,116815,619381,-1,-1,-1,-1,-1,519983,-1,801269,-1,40365,-1,465291,784493,478209,759448,-1,-1,-1,324655,716515,-1,-1,-1,171289,-1,218376,976014,-1,437588,617752,-1,-1,-1,-1,783569,284499,-1,881950,994941,-1,576657,-1,790553,790047,-1,-1,-1,351,108964,-1,86231,-1,-1,70061,-1,2847,-1,217667,-1,-1,-1,-1,309167,492524,-1,552541,-1,-1,-1,-1,-1,-1,-1,793368,-1,702724,936384,-1,445187,-1,-1,222017,-1,621930,-1,295786,483283,-1,5075,-1,-1,-1,212807,966336,11594,-1,-1,680209,990750,791704,902621,-1,-1,-1,78908,728032,651630,-1,647082,694158,133896,967143,263976,-1,491054,-1,-1,-1,848598,852008,-1,-1,802692,-1,-1,667573,921308,757576,399737,423011,65233,-1,347929,-1,210006,-1,-1,43292,818679,376851,-1,934404,-1,894635,835035,843421,778056,-1,802642,-1,53684,745760,976493,-1,-1,-1,-1,-1,-1,341347,314087,858688,-1,-1,761737,902259,191643,417453,177031,-1,-1,844114,-1,-1,621231,866848,-1,-1,-1,-1,-1,-1,261330,-1,-1,-1,-1,-1,568448,209511,-1,406133,796913,-1,-1,-1,-1,748466,-1,-1,-1,585109,441984,86985,573708,-1,-1,11762,-1,-1,-1,702698,-1,378994,644266,-1,603016,-1,214739,304562,-1,318729,93187,-1,-1,444252,376321,364198,55341,486095,712003,-1,853481,971605,-1,-1,995554,-1,-1,481229,-1,243819,261742,-1,-1,-1,770540,335875,872695,-1,242949,914859,255016,234357,-1,-1,451610,-1,99213,-1,-1,459382,157735,546016,979267,850880,-1,-1,-1,216860,-1,-1,-1,697354,857358,-1,-1,455053,547425,-1,-1,111562,465539,908564,592021,591106,-1,489231,-1,-1,-1,995913,-1,720425,-1,525221,345484,-1,17212,-1,714977,-1,230781,-1,572753,-1,581356,206539,498420,514761,-1,-1,685155,-1,522233,-1,552937,156139,652735,109225,-1,759462,-1,-1,-1,-1,-1,-1,-1,692996,583854,885506,142651,-1,-1,-1,-1,818115,-1,42298,-1,-1,-1,-1,146799,965479,307557,196656,979809,-1,591521,-1,149698,716135,228573,-1,590010,-1,109395,888584,-1,-1,284474,-1,-1,492108,-1,154868,-1,727388,-1,-1,989227,667611,-1,32648,-1,-1,380377,12528,-1,-1,296683,-1,883502,487574,90218,-1,437024,-1,-1,-1,-1,150997,-1,-1,-1,-1,-1,880927,414649,-1,-1,707939,-1,78069,595455,-1,-1,154197,739276,-1,-1,-1,-1,185321,460336,-1,148418,-1,966238,288247,-1,138071,-1,-1,170686,-1,934215,58523,-1,41534,693942,573671,-1,-1,507275,-1,-1,61695,-1,378093,-1,311508,-1,907086,393536,636969,982357,-1,-1,255149,-1,-1,-1,-1,469659,-1,351355,-1,-1,134887,-1,-1,89003,669560,680512,385424,634705,501798,171595,902317,244878,200641,34373,616551,533155,414068,-1,795882,-1,-1,-1,137494,933911,-1,-1,385661,-1,193419,457352,-1,-1,743675,-1,-1,872502,-1,-1,-1,693083,-1,-1,866095,-1,129074,-1,-1,-1,-1,996914,-1,49752,684476,972398,315455,-1,221377,-1,-1,226048,192094,-1,-1,-1,-1,-1,772759,-1,259167,610253,-1,928179,162820,-1,917575,-1,525463,628787,-1,-1,-1,-1,496122,24105,337445,407156,-1,-1,207257,-1,-1,583177,-1,509739,765734,-1,-1,-1,-1,101648,-1,-1,517917,698478,421835,-1,563082,-1,294981,909039,-1,557403,955932,-1,-1,-1,270391,422667,-1,-1,-1,-1,228774,231191,489580,525756,-1,727592,-1,561900,-1,-1,694595,-1,708829,137099,487955,-1,-1,-1,430718,-1,-1,-1,905272,329177,-1,-1,-1,713407,-1,628810,207782,474616,16299,-1,166616,479925,858222,-1,-1,296823,278264,-1,889385,-1,174002,558813,-1,-1,3116,401236,44637,152393,734262,29570,-1,818609,-1,583481,-1,446673,233814,-1,-1,120417,-1,-1,884728,-1,-1,-1,-1,252620,-1,-1,-1,-1,884279,-1,-1,-1,-1,93749,691437,342067,-1,-1,-1,-1,-1,-1,568922,-1,597570,-1,655765,67044,-1,734367,28226,981594,268719,-1,130575,-1,554141,895151,491776,960807,-1,-1,-1,32218,223734,958867,-1,-1,-1,101272,-1,-1,-1,-1,-1,913875,-1,-1,999169,-1,-1,974694,-1,-1,646027,-1,332811,207845,-1,-1,980837,21327,542081,-1,-1,473672,-1,429607,580039,170598,30111,522066,500748,-1,-1,851594,-1,-1,-1,-1,439985,595565,817604,-1,889053,-1,397526,-1,-1,-1,-1,-1,-1,-1,-1,180411,-1,-1,-1,309731,-1,-1,307884,953997,-1,-1,-1,-1,-1,280822,-1,-1,-1,-1,-1,-1,630396,677583,579377,227912,451341,411367,256090,-1,699304,-1,686021,353117,-1,163011,591158,911126,359375,-1,510094,-1,-1,-1,-1,-1,349295,-1,349005,-1,372263,765180,-1,425204,-1,886712,229061,-1,-1,-1,-1,479985,365596,325651,-1,861255,973267,395085,233214,600952,418921,-1,316495,667255,589495,-1,-1,910537,-1,994319,707307,738483,-1,183571,-1,50329,423694,512473,762224,370317,-1,271757,46869,-1,675806,-1,-1,244710,-1,-1,806408,-1,-1,850835,-1,-1,883642,-1,164464,579107,191564,-1,852799,29591,-1,-1,628228,433608,783276,-1,370281,449893,19780,-1,-1,-1,793529,92265,649549,-1,-1,328848,729039,-1,-1,-1,275917,-1,923516,-1,351435,-1,742811,327585,688658,-1,-1,-1,-1,-1,100472,-1,959766,-1,190556,-1,100350,-1,771709,-1,454437,-1,402291,-1,-1,-1,-1,-1,-1,843738,-1,725215,662805,-1,217280,-1,391061,842964,355760,123698,316869,355318,-1,736053,210104,-1,346971,-1,390801,224646,84797,-1,106212,242601,677542,913909,-1,-1,270923,637444,-1,-1,-1,688252,653488,-1,213232,-1,-1,272497,689503,-1,-1,-1,-1,-1,149318,-1,908082,-1,-1,-1,95049,147789,862952,966106,-1,200444,474582,-1,-1,635376,-1,-1,539455,-1,-1,780902,-1,892307,316031,700125,-1,964064,-1,-1,669852,260273,204069,-1,147907,-1,-1,459933,103156,986152,946918,-1,485641,307738,-1,755199,-1,441114,-1,72823,823417,-1,651076,-1,46306,836276,-1,336838,899981,715799,18829,-1,-1,-1,833783,503194,591750,-1,-1,500332,602377,847954,47329,-1,256947,210707,-1,764107,415504,720312,154271,-1,-1,425722,608399,-1,592015,-1,820866,-1,-1,84899,729822,895616,169542,882364,-1,-1,329032,610891,-1,-1,237844,954961,-1,-1,-1,-1,-1,405588,-1,-1,-1,931831,-1,178387,-1,89931,274450,-1,821121,962529,410314,-1,554029,225156,903070,373083,-1,-1,-1,434212,646158,617824,-1,824702,201257,169499,137528,24285,-1,21737,-1,30827,-1,-1,-1,252555,648069,6503,-1,-1,118152,265202,536831,-1,-1,871293,-1,-1,-1,35667,811307,467553,-1,-1,889135,-1,-1,890112,-1,384141,6652,-1,135973,-1,103264,768478,12107,851534,642851,128549,-1,-1,-1,903490,967710,479487,404849,-1,-1,828797,-1,-1,-1,-1,539921,-1,-1,-1,512623,-1,-1,986927,-1,-1,139895,-1,-1,210320,939680,434379,-1,368100,-1,816073,-1,111484,333871,-1,-1,481204,515229,-1,-1,-1,-1,166769,549963,-1,-1,957747,-1,481733,-1,-1,360791,-1,29610,895012,-1,-1,-1,-1,-1,106649,505112,-1,566828,-1,-1,-1,35330,-1,328922,574034,476371,-1,-1,-1,741634,-1,605490,884843,-1,935857,-1,-1,-1,-1,-1,-1,49013,-1,383945,298948,56519,909715,-1,-1,-1,815900,-1,691887,55047,226232,-1,-1,-1,-1,702866,347570,720882,117681,585228,818701,891422,-1,988800,-1,891475,710661,627813,505472,240127,-1,-1,689225,-1,106634,-1,559456,-1,781780,-1,-1,-1,864817,916424,314525,-1,-1,-1,591130,-1,251066,-1,-1,-1,-1,-1,-1,-1,716751,167090,169754,-1,-1,88951,228804,-1,-1,781769,44447,112959,-1,-1,251983,-1,-1,-1,565857,-1,-1,-1,194084,808459,-1,-1,249256,936912,344057,49050,-1,236708,-1,929058,-1,-1,903473,-1,-1,911963,60974,-1,622806,-1,-1,176994,300463,-1,155309,421876,-1,-1,711132,772769,742076,643795,-1,-1,-1,831026,-1,610029,886836,717999,342777,876259,-1,-1,-1,24194,131717,-1,-1,-1,-1,-1,676615,-1,-1,-1,647436,-1,862153,396272,-1,562548,-1,-1,-1,359421,456546,-1,381622,-1,-1,-1,-1,-1,318515,-1,869325,-1,55144,-1,-1,-1,446545,977087,812058,-1,-1,728413,-1,293964,503101,-1,-1,784586,-1,890434,768801,463584,-1,11321,268075,487405,185896,-1,414913,-1,-1,539242,511705,679795,885527,-1,380371,448924,-1,-1,234875,98788,-1,-1,775450,-1,995337,-1,-1,241156,304685,-1,-1,-1,412879,353731,-1,-1,369230,695142,-1,222314,-1,-1,462943,550965,-1,590671,156896,-1,-1,341084,-1,-1,-1,-1,605950,-1,766260,-1,575876,-1,905753,-1,250990,233494,173932,-1,883290,-1,227248,38257,124000,-1,913398,-1,-1,673834,-1,353104,580184,-1,-1,18874,133829,-1,-1,165956,-1,-1,-1,-1,-1,873039,-1,338491,-1,883822,-1,291824,-1,-1,-1,713784,-1,526481,-1,789366,-1,918266,-1,171447,-1,-1,748204,-1,-1,-1,-1,-1,-1,765988,-1,-1,190673,572981,-1,-1,336526,509103,99328,-1,623118,719476,57823,896245,598231,-1,77598,651850,-1,871959,-1,804606,748526,482848,-1,817709,-1,-1,-1,-1,-1,-1,553483,36045,-1,-1,737700,-1,-1,660753,-1,-1,-1,728128,-1,637742,-1,-1,341865,244694,-1,577138,704996,-1,240773,734060,930443,513221,647560,-1,-1,-1,-1,56772,-1,-1,513380,-1,514509,-1,582873,-1,-1,-1,529335,-1,99707,809723,-1,-1,-1,65294,-1,-1,-1,494305,-1,268141,-1,634825,-1,-1,-1,-1,-1,-1,-1,995353,718880,-1,994689,-1,-1,-1,-1,-1,637283,-1,270871,-1,-1,-1,772661,-1,676882,-1,392490,523873,-1,678020,110838,437359,-1,-1,-1,441813,-1,-1,-1,332438,-1,751100,75611,568068,332766,-1,903881,537119,-1,-1,-1,-1,851247,-1,-1,2164,84856,490660,-1,-1,835368,525915,-1,192861,122293,-1,97326,-1,-1,-1,154601,-1,535308,-1,-1,566837,-1,879868,202159,556917,511883,465171,948730,238057,54412,-1,738396,-1,-1,998839,-1,-1,-1,-1,522494,-1,-1,-1,-1,569938,-1,490213,-1,-1,-1,-1,-1,64868,-1,167035,545096,-1,-1,-1,-1,259936,-1,376879,923562,-1,337897,150061,-1,281573,-1,-1,-1,562240,305927,866785,903344,82918,-1,153365,687014,-1,-1,-1,511620,66468,770061,-1,188825,-1,489410,-1,-1,9637,581021,478906,-1,201358,238293,378756,-1,-1,-1,379660,-1,151513,645643,-1,351129,935098,849223,-1,-1,-1,589625,5616,-1,963179,-1,892046,-1,175368,877431,611977,-1,-1,55694,-1,489094,-1,-1,-1,23163,940479,491601,-1,-1,-1,-1,785389,-1,-1,-1,239103,68814,971805,823516,-1,-1,-1,-1,-1,-1,822139,-1,300668,75581,-1,-1,331994,-1,131137,-1,-1,211683,811493,890374,-1,409406,-1,336028,-1,-1,891134,76079,885666,-1,7744,476471,730477,396161,-1,301561,483570,874675,-1,14186,594823,-1,-1,246976,-1,-1,-1,674379,328194,938745,851655,-1,281163,-1,-1,747561,687798,178735,697124,-1,361167,686993,-1,-1,623973,-1,-1,321824,498510,-1,335494,998183,-1,-1,97536,-1,-1,666305,248751,707245,274967,-1,-1,826508,-1,-1,189738,904084,-1,381055,391509,-1,771562,-1,-1,-1,815118,-1,725705,-1,364199,100882,-1,245728,-1,-1,-1,318158,487212,-1,-1,13644,665733,-1,-1,429069,-1,156560,-1,-1,-1,404568,-1,-1,-1,674405,-1,-1,-1,948169,-1,129183,403433,138455,-1,-1,-1,686200,453782,-1,-1,-1,873706,-1,642685,48070,-1,-1,66646,-1,-1,218452,-1,783694,650534,292848,-1,100998,-1,-1,160973,-1,-1,-1,349925,812742,-1,-1,378751,329393,-1,42757,105548,-1,-1,-1,-1,281803,-1,677359,-1,188159,-1,-1,-1,778661,-1,474211,-1,36025,124488,-1,221910,538754,122574,-1,-1,396687,-1,-1,-1,169654,-1,-1,991720,-1,-1,485742,-1,-1,688564,-1,-1,841702,724236,-1,-1,247230,-1,390309,-1,-1,485071,241496,-1,722283,-1,-1,335260,15685,-1,-1,635608,407164,756534,146894,352932,-1,736220,899992,673764,203227,990180,-1,-1,-1,-1,787630,684076,-1,-1,-1,463648,-1,208522,-1,-1,-1,290113,-1,-1,-1,177028,-1,-1,-1,273281,-1,-1,32594,748174,-1,-1,138915,-1,-1,-1,148604,-1,15030,920235,-1,700032,120340,368606,-1,-1,796333,-1,175008,505158,638609,617483,953571,933802,813262,818707,609728,-1,188141,367380,133903,-1,226235,358525,102111,-1,-1,140735,989500,-1,-1,837088,543436,-1,-1,-1,-1,973162,782706,-1,-1,357842,354288,611288,-1,122493,-1,133657,-1,-1,843471,53400,35072,157587,419896,-1,-1,-1,-1,-1,-1,-1,-1,136478,208316,-1,650516,474350,-1,-1,-1,-1,-1,270947,-1,322011,-1,-1,-1,-1,-1,446611,118291,-1,-1,-1,-1,448085,135667,-1,51738,639029,867773,-1,603044,124380,-1,-1,454551,-1,-1,132054,883019,553100,747058,-1,985095,-1,181078,768929,-1,656914,-1,-1,-1,-1,-1,327257,888223,1939,-1,-1,706112,292718,569080,-1,-1,644983,-1,-1,-1,224630,-1,82942,-1,-1,895871,479989,-1,320668,-1,-1,-1,367562,237664,-1,641663,398158,175717,441270,-1,98245,122305,-1,252735,-1,-1,966031,210733,548134,-1,788454,-1,-1,-1,594738,58128,-1,875009,-1,-1,305765,-1,-1,143011,-1,-1,-1,-1,-1,156378,895904,269373,-1,-1,-1,-1,-1,490429,92937,856450,-1,203036,323663,638031,-1,-1,304423,447395,723080,752513,83597,100572,-1,-1,-1,673400,273255,692130,579938,-1,-1,-1,361592,469824,306505,-1,513503,918215,687233,-1,847080,942076,-1,-1,-1,-1,518212,429434,877868,-1,957006,173821,345395,629007,-1,661122,938300,-1,-1,-1,395996,951048,232461,-1,589900,-1,895538,-1,-1,729062,794748,-1,-1,-1,-1,-1,211129,322,248373,25257,-1,810001,-1,-1,-1,594457,-1,-1,-1,629029,851332,-1,517494,652129,743002,-1,-1,154714,-1,990927,-1,-1,605,-1,397859,598282,-1,821825,978293,469505,-1,-1,834745,-1,77111,946785,-1,815731,403764,120075,-1,779755,673276,200136,-1,-1,190585,513226,-1,-1,532828,-1,914722,810330,826153,-1,-1,28799,940325,652809,641793,-1,-1,497622,-1,-1,737435,-1,-1,715981,-1,-1,660287,-1,-1,828586,490258,-1,244049,-1,-1,-1,237361,-1,521660,867025,489658,-1,-1,277525,-1,494749,-1,68809,-1,611744,-1,747478,-1,-1,-1,946014,365791,-1,999350,-1,-1,-1,-1,-1,279526,-1,878584,505726,-1,-1,687334,-1,-1,-1,89809,374112,233994,606535,688971,187091,-1,921433,978871,965775,-1,-1,306672,626276,-1,248623,403532,197279,6460,64054,351115,890350,-1,183714,512610,-1,-1,-1,-1,18270,632087,-1,274840,-1,745995,487490,-1,711587,525407,-1,944543,136476,834660,-1,-1,58374,954710,-1,727377,-1,238650,-1,-1,-1,547044,379318,-1,-1,-1,-1,-1,-1,-1,-1,669241,-1,952780,856686,543601,-1,215028,-1,-1,970565,-1,489932,357912,-1,-1,651168,450597,-1,-1,911739,-1,-1,-1,-1,476811,-1,474136,115507,69155,-1,111099,-1,-1,276085,-1,-1,504252,-1,443880,-1,266387,-1,-1,410969,544886,567413,-1,788908,-1,569020,373920,435230,-1,958512,-1,369456,947248,5297,272057,-1,-1,138153,619133,-1,-1,-1,491574,596367,138865,980095,15788,-1,612645,-1,-1,-1,-1,754098,168108,9770,122561,927699,608038,-1,376619,84203,-1,389888,316345,-1,-1,-1,-1,-1,-1,-1,-1,395706,-1,-1,-1,-1,-1,923934,756063,-1,157953,77687,882716,-1,400057,616180,-1,-1,284209,356928,75778,234831,-1,422695,-1,60922,-1,-1,889322,77609,895346,624048,981192,-1,-1,598974,721391,176719,814360,-1,226233,538248,-1,425865,408041,66994,-1,309583,813853,233241,-1,98967,-1,326161,83556,-1,75767,-1,33670,699153,-1,969699,274574,-1,703239,202714,19705,-1,-1,161095,-1,588458,834385,526206,-1,-1,-1,483834,-1,744817,6220,-1,907019,79781,82511,-1,499205,-1,439166,-1,-1,98524,757333,-1,-1,501769,725073,382414,727715,-1,-1,295622,696938,792298,81431,-1,882193,-1,-1,251160,318842,575984,66363,-1,-1,665815,-1,896044,-1,-1,-1,836668,846819,964783,-1,-1,-1,522295,-1,536882,-1,-1,-1,-1,-1,-1,259144,153721,789285,-1,981375,33918,771806,519764,363257,-1,469621,-1,334873,-1,-1,-1,358928,232760,-1,217404,-1,-1,-1,-1,536800,533835,947138,689805,-1,838014,-1,638867,-1,239119,472941,785757,355798,595641,50435,-1,38156,-1,224842,-1,624643,162988,863563,197132,894768,-1,-1,-1,-1,-1,728451,-1,-1,890502,-1,434554,-1,898634,567504,-1,453985,-1,985322,-1,-1,602063,-1,773825,276548,927202,287575,-1,-1,-1,-1,192290,960551,723488,-1,-1,-1,-1,-1,-1,880684,-1,597957,860203,-1,-1,867713,-1,-1,564040,72710,311589,-1,-1,-1,641517,776831,-1,285970,-1,-1,-1,285648,114869,544071,-1,-1,49061,826421,-1,400723,-1,-1,-1,936707,797037,-1,79158,-1,581746,-1,615891,329783,307731,530326,-1,878282,-1,-1,-1,-1,-1,-1,-1,68455,-1,-1,393147,687082,59332,-1,-1,-1,266729,648057,899855,-1,-1,-1,570868,-1,633970,68842,243261,513031,-1,-1,116643,-1,-1,-1,928674,899482,-1,-1,549306,958279,-1,443250,838031,-1,135776,993482,415471,877175,-1,-1,-1,-1,614226,-1,97797,-1,-1,-1,499617,-1,660517,717849,989609,-1,-1,736478,-1,-1,343150,-1,-1,-1,-1,763357,623712,894945,-1,155019,-1,620416,-1,-1,585154,867750,-1,723310,380247,-1,659472,961571,-1,-1,681152,325639,40913,174019,-1,145147,460080,185819,464529,-1,671912,-1,271114,-1,141023,-1,48142,576781,80119,-1,-1,559086,538007,390096,614136,-1,-1,-1,591470,117536,-1,336482,-1,400142,430810,-1,885848,35974,31250,938687,-1,-1,287638,365825,747385,-1,729649,-1,670187,239531,400426,188696,537233,596688,257098,-1,-1,-1,345175,-1,-1,-1,720748,-1,-1,-1,958297,-1,-1,-1,-1,-1,-1,895522,-1,497324,-1,926694,-1,281710,186023,954727,-1,128912,-1,844220,-1,765943,-1,662073,-1,-1,385746,-1,-1,92815,178394,315769,-1,-1,462540,406430,18371,-1,114653,735047,-1,389157,-1,-1,922894,-1,-1,549410,-1,-1,338947,106626,106055,851104,141403,711195,-1,860472,-1,-1,-1,780513,844791,-1,-1,941215,625083,-1,-1,-1,839623,108591,-1,801148,844849,-1,-1,71870,6763,514233,841526,366047,-1,-1,153507,212156,-1,-1,870399,-1,700311,-1,-1,-1,972768,-1,-1,720308,-1,-1,-1,-1,307410,128279,-1,114833,347089,907823,-1,-1,-1,228551,737437,889421,-1,-1,981086,-1,395024,-1,53193,381555,-1,-1,-1,287058,-1,-1,-1,-1,941854,36130,670914,-1,-1,-1,-1,520725,-1,263164,901275,151425,338290,-1,23175,-1,788815,711364,-1,-1,961956,576411,83095,118256,635053,-1,136338,-1,49446,-1,152526,447421,438878,372315,494504,-1,603155,556918,124453,423532,848825,413612,172108,-1,245580,-1,983882,-1,407202,-1,325837,460860,358677,877708,-1,371443,-1,-1,643164,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,453352,-1,-1,-1,-1,226614,752833,-1,204549,-1,-1,-1,402425,713302,623530,-1,-1,-1,140706,-1,-1,382367,-1,-1,649306,-1,-1,-1,-1,994917,-1,-1,-1,-1,279380,25561,-1,-1,426182,-1,2772,553755,-1,772941,-1,-1,933640,654313,-1,190046,-1,501471,-1,61297,406185,26303,-1,290150,203161,509898,353141,-1,-1,-1,387565,-1,-1,898535,-1,770954,812908,439013,-1,726440,913986,97532,-1,-1,180290,-1,458408,-1,678979,581057,-1,-1,-1,-1,70224,715828,-1,509134,-1,-1,-1,11447,-1,-1,-1,648297,-1,-1,-1,336185,-1,-1,-1,-1,60139,231737,873341,79266,157071,866691,-1,-1,-1,274776,-1,-1,39888,-1,316445,-1,-1,-1,-1,591534,75008,547681,502738,-1,915319,478390,93211,208653,354331,-1,-1,-1,-1,-1,-1,589562,-1,-1,478697,-1,-1,-1,-1,-1,590226,929633,-1,-1,74418,130978,-1,590586,746035,-1,69321,858998,-1,-1,94092,-1,-1,943866,-1,-1,-1,212928,88766,-1,233466,-1,-1,-1,-1,932734,274748,720243,715937,-1,-1,282931,576822,406104,570883,780357,143495,276556,-1,-1,-1,-1,8347,388512,-1,433594,73281,469903,-1,447416,-1,240490,471484,949784,-1,-1,-1,-1,-1,340136,-1,-1,287186,716680,-1,29520,-1,-1,-1,-1,509004,-1,714132,-1,120278,-1,-1,375186,112779,-1,919057,891881,-1,-1,-1,45399,356209,-1,535964,304048,-1,501936,117030,-1,380610,962204,-1,-1,154506,-1,-1,-1,517269,-1,310516,-1,-1,24383,-1,507806,-1,-1,-1,-1,-1,-1,161134,-1,-1,153839,-1,-1,527221,79183,-1,865833,602127,754766,-1,738772,814515,600045,947367,-1,258613,-1,-1,709364,-1,478487,999026,985369,423160,982859,-1,467135,432611,-1,399466,-1,123080,14880,90315,-1,30170,424969,-1,164588,-1,-1,-1,703362,121671,-1,618730,-1,-1,543056,208396,-1,677817,159366,-1,-1,397487,-1,-1,-1,621160,-1,-1,-1,379951,580446,688790,-1,-1,485507,134751,970523,-1,-1,-1,-1,-1,957534,-1,-1,501836,-1,613472,827533,-1,414063,396342,547801,208344,726360,-1,-1,-1,-1,292636,-1,-1,-1,7898,-1,174952,-1,-1,-1,269859,714052,134790,-1,-1,922351,-1,113459,666789,327839,680407,-1,662258,-1,577606,651811,308379,938878,-1,-1,457274,-1,-1,-1,-1,-1,-1,-1,461835,151352,515327,-1,-1,-1,-1,557232,951596,13318,859852,331887,-1,833900,-1,880134,291742,830259,665364,-1,670178,950444,570427,223994,655451,-1,59998,318543,866280,288331,362267,545572,277935,914730,-1,-1,416480,719716,755662,616433,-1,-1,943156,532548,-1,968704,-1,497165,-1,440099,878354,847779,672859,307991,-1,-1,-1,770596,-1,-1,-1,-1,-1,346385,165434,-1,-1,904725,-1,-1,132814,461233,-1,-1,146420,854766,-1,916841,-1,650843,-1,-1,142227,826947,-1,820569,441289,-1,697523,-1,786136,125300,801340,914996,-1,-1,886172,-1,-1,-1,-1,967382,811833,-1,618260,120761,-1,749075,-1,728433,577930,-1,-1,804443,-1,-1,-1,223253,527205,-1,841915,-1,-1,-1,424800,476137,-1,-1,-1,-1,79247,-1,674699,94791,257599,-1,-1,322088,626775,83547,-1,-1,-1,-1,-1,583879,-1,186944,110314,955957,364152,-1,-1,-1,-1,43042,777281,468732,469898,-1,355554,687367,397804,-1,-1,-1,-1,-1,-1,-1,27389,139923,-1,511011,574536,-1,60767,91170,-1,904651,-1,-1,-1,122901,-1,545755,-1,213061,16147,-1,-1,-1,-1,526373,-1,-1,-1,-1,-1,320612,-1,802900,-1,107232,-1,-1,578177,702200,-1,663586,-1,549365,964191,-1,-1,951352,-1,78441,-1,-1,763540,441825,945765,-1,430058,701333,-1,-1,115607,54680,-1,967605,-1,-1,404757,-1,-1,305931,806970,668039,804451,-1,-1,-1,-1,435264,115916,-1,292216,104490,-1,986198,50957,-1,-1,250631,394195,216898,-1,-1,-1,49029,187061,-1,-1,-1,-1,254355,-1,19584,-1,884406,-1,-1,9868,264571,-1,481078,-1,582299,70530,-1,-1,834281,-1,-1,663174,-1,-1,846929,573122,739287,-1,55903,333502,-1,-1,487075,-1,-1,-1,711739,225049,-1,-1,-1,750185,370098,572631,-1,-1,46703,590921,735903,138732,470598,346042,-1,533661,539486,473645,228787,-1,-1,-1,-1,-1,-1,-1,311239,-1,-1,-1,656211,-1,763310,708319,-1,-1,152167,269480,435414,512698,727575,-1,748803,-1,33838,666985,430966,-1,-1,360076,-1,429874,-1,-1,68685,558771,944810,-1,656710,-1,-1,249950,239605,766740,-1,-1,444186,406102,211772,3400,823597,259128,-1,388729,-1,-1,-1,-1,555776,127152,558428,442737,-1,359945,-1,238607,-1,750774,-1,779436,-1,181539,93498,-1,-1,-1,-1,-1,-1,-1,-1,-1,335606,-1,523345,654745,483396,-1,-1,-1,880148,-1,-1,510471,975611,429665,543785,264067,-1,455500,299581,734858,583974,908395,-1,39441,-1,-1,110071,-1,-1,-1,79383,-1,846806,400550,-1,-1,-1,50770,134352,-1,207152,949740,756019,-1,585996,-1,329342,-1,612054,6024,-1,-1,335922,624625,-1,635109,427399,-1,869793,722391,286278,599602,192973,109418,-1,887053,-1,576892,657289,-1,-1,184682,-1,56778,-1,-1,116912,964070,-1,556448,-1,693041,-1,-1,352254,-1,-1,-1,-1,-1,382232,623639,446039,166918,-1,-1,210151,612001,-1,98375,-1,585269,-1,-1,-1,597498,725443,-1,431547,-1,952556,-1,-1,-1,569077,-1,-1,-1,192208,579169,994474,373263,548290,632407,-1,489608,970814,879265,-1,359231,-1,614292,750770,369484,115238,659736,-1,159925,-1,-1,-1,194740,435905,906809,825643,-1,72883,154445,-1,102891,79065,302955,-1,769823,916545,-1,549616,-1,98496,219943,-1,-1,-1,-1,-1,-1,-1,448238,-1,-1,638408,241727,402987,-1,825272,143579,624010,643728,-1,-1,-1,-1,-1,426500,664006,-1,-1,995321,-1,172482,190997,-1,69589,-1,100551,-1,600594,459379,48457,798308,-1,645403,-1,981580,-1,256822,-1,957861,-1,-1,-1,-1,207546,-1,-1,760527,312809,996027,224100,573255,-1,168310,470217,-1,-1,-1,-1,-1,191194,-1,618868,181552,-1,-1,21620,-1,990091,-1,-1,23164,86842,882842,178981,-1,-1,-1,-1,616638,-1,-1,82282,-1,549651,616601,648752,-1,454621,7792,-1,31248,-1,-1,250188,322687,-1,628306,529961,724657,-1,-1,-1,-1,745894,585124,-1,558130,641062,15523,-1,943985,-1,-1,-1,-1,547829,787380,-1,21072,492991,142748,278945,-1,-1,-1,-1,660220,874067,524157,-1,-1,-1,801059,527713,-1,-1,-1,-1,453057,-1,-1,923704,208798,982727,-1,-1,-1,470104,806750,802820,107211,809448,-1,-1,-1,-1,678906,592324,-1,-1,-1,406568,-1,857070,-1,921130,633282,-1,369537,-1,509434,645002,-1,-1,-1,688516,-1,-1,848091,-1,-1,-1,-1,80299,-1,819531,-1,763538,933654,-1,-1,-1,457363,928650,556428,876268,-1,-1,106539,816062,437134,615866,127840,-1,-1,975269,420159,-1,-1,550736,-1,737867,817153,90684,556297,765628,796611,92932,-1,244327,-1,-1,-1,563894,-1,749539,-1,-1,-1,683112,-1,-1,-1,-1,295874,772518,-1,437892,-1,-1,-1,6925,847254,-1,-1,-1,135039,-1,-1,-1,-1,-1,-1,-1,194602,-1,909474,-1,432274,692341,-1,-1,480354,895834,-1,768502,727293,829511,-1,-1,-1,-1,-1,87987,139228,496720,241151,-1,541773,-1,-1,-1,-1,5542,-1,734856,103020,-1,-1,-1,-1,-1,-1,-1,647162,461203,532338,-1,-1,-1,960318,996317,-1,774774,701995,318776,590677,592393,-1,-1,-1,-1,-1,-1,654058,880882,493973,810992,390950,-1,-1,403754,-1,-1,244889,-1,-1,-1,-1,-1,-1,447858,809025,-1,-1,-1,-1,76847,418442,870325,-1,810120,-1,-1,-1,675777,235358,-1,-1,940117,248239,637971,611061,358746,-1,782921,-1,138008,858405,-1,810907,834751,843984,291636,-1,594560,-1,-1,621220,943244,596025,547041,-1,-1,-1,-1,-1,498311,-1,192357,225392,992504,-1,-1,-1,-1,-1,-1,931088,-1,357195,618747,-1,-1,-1,-1,27078,-1,721142,615632,-1,562779,-1,-1,606238,419961,-1,133815,-1,-1,792363,855518,825240,128598,403517,-1,-1,-1,234193,546619,-1,-1,-1,328190,112509,-1,-1,737859,-1,-1,-1,-1,-1,-1,140922,-1,-1,3981,90041,-1,-1,-1,-1,-1,931136,873391,77581,-1,984952,-1,396006,354725,121248,244323,-1,675626,-1,98382,773593,-1,569674,249185,619672,-1,-1,37360,344676,-1,47015,405893,-1,219281,-1,-1,753141,-1,-1,47809,-1,734554,-1,-1,608296,301520,214011,262319,-1,279418,397170,-1,666990,-1,-1,-1,-1,528087,386335,312724,-1,123185,725098,279227,-1,175677,577808,968596,-1,-1,625622,165136,243601,988250,-1,648279,961723,867696,645265,-1,-1,-1,-1,731550,779636,636801,-1,-1,-1,-1,770106,-1,-1,600326,632793,-1,-1,-1,700007,-1,-1,980861,281950,-1,-1,511591,-1,-1,21340,896403,695028,119458,661079,-1,48362,132869,-1,-1,743832,-1,-1,215290,-1,171792,465335,713666,-1,385163,-1,553599,509226,-1,-1,-1,54232,296649,861838,110263,-1,-1,-1,937389,471550,-1,331773,-1,-1,-1,101741,378741,-1,-1,-1,748582,398890,-1,597,825704,10966,241347,525681,912123,-1,-1,169550,-1,895407,-1,-1,-1,317704,653790,-1,-1,-1,-1,256474,693276,-1,114096,-1,-1,352140,-1,-1,293706,-1,646048,-1,387138,-1,926761,-1,-1,170269,-1,-1,-1,599361,39329,-1,404966,19684,468785,-1,663974,5442,728180,736911,736804,898019,756647,855102,177791,398694,-1,125529,575329,-1,-1,-1,-1,55011,481463,181814,322994,-1,-1,-1,656314,41013,-1,-1,620162,-1,-1,406204,-1,-1,-1,853863,-1,-1,-1,-1,404884,716454,537884,-1,-1,769208,96144,458094,-1,-1,-1,710227,-1,432016,-1,621012,-1,-1,182148,637592,612151,-1,-1,989348,701305,-1,66174,-1,-1,687969,403585,-1,466443,-1,537255,111751,-1,-1,704675,774700,441717,-1,696382,-1,-1,720782,538393,641,834449,748892,251692,-1,159470,978601,-1,277225,514484,808478,-1,401338,-1,938211,-1,617113,-1,-1,90178,-1,936539,-1,-1,-1,807011,-1,-1,-1,-1,348181,-1,-1,-1,467734,-1,157024,935217,-1,556320,340717,-1,-1,-1,-1,-1,-1,519716,493254,-1,713855,670378,517355,-1,-1,770342,-1,-1,910744,-1,54580,-1,674797,-1,448577,-1,792199,307045,-1,-1,-1,581938,-1,-1,725436,161257,727758,-1,-1,297570,-1,70307,395203,-1,-1,777424,-1,102624,-1,-1,-1,-1,286672,-1,169218,711901,608235,-1,646420,622305,347869,-1,-1,-1,-1,-1,-1,198715,-1,-1,145340,666601,84442,241133,-1,-1,-1,-1,497249,-1,-1,103533,-1,494860,-1,942436,142532,-1,-1,-1,-1,391588,-1,980775,342018,970206,40097,-1,-1,-1,-1,633209,-1,-1,-1,-1,908430,505602,136402,-1,-1,-1,211327,186857,-1,-1,-1,967943,625110,-1,-1,-1,-1,72359,864675,-1,995739,327448,402472,118858,-1,-1,859311,367952,633596,-1,325723,739206,-1,-1,98284,-1,190,759523,-1,760522,14674,-1,144708,13849,389207,688593,-1,32025,943899,-1,-1,-1,-1,-1,994048,354114,-1,-1,-1,-1,304950,562413,-1,-1,-1,-1,-1,812874,652883,344407,-1,392939,847199,-1,-1,265203,-1,849230,-1,-1,80222,438841,818895,-1,-1,-1,834373,-1,-1,-1,893222,-1,-1,-1,734446,327869,511645,104412,-1,879680,-1,330331,785480,-1,159727,648909,3884,827609,-1,-1,-1,-1,-1,-1,-1,-1,-1,637983,-1,779807,-1,19241,-1,585320,-1,-1,-1,646675,277446,372427,407455,5831,-1,646987,-1,-1,268648,22385,-1,-1,-1,392135,-1,654258,44894,811962,-1,-1,-1,-1,-1,911222,252619,853507,135124,443490,-1,-1,470024,-1,-1,400168,-1,814877,-1,-1,198059,229252,176482,620771,446592,731698,-1,939189,788544,86190,806898,-1,945517,297494,-1,31076,-1,-1,-1,802353,-1,-1,-1,-1,960878,944602,130249,-1,-1,980366,677846,389042,430727,453319,-1,593952,-1,879393,-1,-1,379600,361731,-1,217781,29432,-1,-1,-1,-1,-1,-1,157232,447555,280138,-1,-1,-1,-1,-1,-1,-1,412574,264935,376511,-1,-1,-1,-1,958465,471909,-1,163154,-1,-1,-1,435503,-1,-1,19170,257876,620457,-1,-1,405330,-1,692721,-1,-1,-1,285976,440801,512043,839378,441230,121964,-1,-1,297089,256990,-1,-1,-1,702565,631245,-1,-1,-1,-1,-1,878079,-1,365354,-1,268330,114306,518783,-1,-1,155396,558966,72856,-1,-1,-1,716888,544928,-1,629776,-1,824549,630348,964252,-1,375428,236739,-1,916270,425056,64914,-1,-1,577189,-1,-1,-1,-1,-1,-1,716520,-1,-1,126179,-1,490224,338418,-1,-1,-1,472785,-1,-1,336424,-1,-1,-1,661547,816776,-1,-1,-1,-1,733833,-1,-1,554614,-1,-1,653332,834998,116398,745698,784357,339006,-1,-1,705440,867544,505025,898785,-1,856979,-1,-1,487118,119229,48190,35976,865174,-1,766758,475896,792331,788791,343036,873870,-1,708759,425653,202662,687358,-1,-1,-1,811974,-1,653129,-1,256303,953388,-1,234330,-1,-1,737996,109088,736536,-1,77726,-1,-1,459855,-1,335187,-1,681640,802838,-1,141725,894273,-1,-1,877260,474763,-1,-1,-1,831971,-1,396983,-1,121708,593003,926421,-1,283038,-1,-1,-1,-1,-1,334120,760727,761095,930014,-1,6044,-1,-1,705974,41037,-1,-1,549147,-1,-1,337633,575109,383965,793374,126845,-1,228033,-1,527340,-1,301623,-1,809367,504579,-1,-1,287167,-1,600589,402982,-1,791462,260317,597982,505841,-1,-1,-1,-1,366769,184390,413944,550254,646399,633232,371573,-1,930184,-1,-1,-1,351798,-1,144827,826568,879772,923099,954162,7692,-1,-1,-1,711252,-1,517287,9632,667460,-1,-1,-1,-1,940035,818777,561172,-1,-1,-1,-1,494382,-1,955698,728014,839880,797057,996078,930813,857051,-1,864333,911803,476756,-1,353113,-1,900354,73337,-1,-1,87471,685797,-1,202112,912046,50083,-1,-1,609902,-1,620049,625016,547043,825080,893090,219774,552325,491258,705348,187591,-1,641459,-1,-1,-1,-1,-1,453418,-1,297708,869078,148459,536248,457179,652040,243758,183502,-1,-1,-1,-1,-1,-1,-1,348184,470148,-1,-1,-1,-1,91353,648392,-1,981524,888830,636717,707636,66605,-1,-1,338195,488752,565898,295438,-1,-1,9582,-1,119664,289007,74677,163891,103012,-1,-1,64702,37354,-1,370835,-1,417816,412702,-1,-1,449988,933968,-1,528797,704455,503573,718764,851491,891863,399841,-1,403313,411115,742474,-1,844657,938434,549985,100469,-1,-1,-1,-1,-1,-1,-1,742823,858245,75068,-1,-1,556025,938648,630560,-1,-1,88544,-1,-1,361866,595557,-1,274152,236559,-1,-1,610952,-1,408464,-1,-1,-1,-1,-1,768325,495018,-1,940541,-1,-1,966116,301457,-1,681344,763401,-1,-1,-1,-1,-1,-1,499874,-1,-1,-1,333187,-1,-1,949288,254373,383770,-1,-1,691791,-1,427960,-1,-1,-1,925579,928024,133172,-1,439108,-1,-1,-1,729073,-1,-1,-1,124785,-1,849044,-1,631771,-1,-1,-1,-1,63829,301451,-1,-1,679024,31321,-1,-1,74028,780073,950251,949021,563221,428886,-1,734667,-1,-1,235721,-1,226457,987857,-1,30310,277110,-1,-1,208811,-1,693751,-1,-1,-1,-1,898964,470655,654447,-1,-1,178198,-1,621155,-1,783904,-1,-1,-1,-1,721182,-1,-1,251394,376508,51541,-1,329167,-1,-1,61095,-1,445584,987132,740941,-1,473684,-1,-1,-1,-1,581697,429260,681287,-1,-1,876771,-1,-1,508464,-1,-1,-1,819410,177306,-1,-1,-1,524733,-1,-1,974485,2024,-1,638555,477578,734647,906393,-1,-1,664222,-1,-1,642330,-1,-1,862716,-1,947601,418944,-1,11097,470079,-1,-1,876825,-1,-1,713985,-1,-1,658457,201814,631607,-1,-1,-1,806988,897639,-1,-1,-1,-1,445996,868386,658588,-1,-1,510503,241384,-1,745670,731616,-1,547872,-1,-1,-1,85241,-1,643286,151439,-1,-1,-1,578582,905464,131280,-1,-1,778973,-1,-1,407100,-1,-1,-1,343450,-1,-1,702019,413281,47566,702872,-1,-1,365422,416997,-1,-1,733400,131176,561859,-1,951606,743054,-1,-1,-1,182406,734776,-1,-1,-1,449985,670347,-1,409287,-1,-1,409053,-1,-1,283860,-1,-1,-1,406054,17573,604353,-1,-1,433826,-1,-1,422302,-1,-1,774668,-1,-1,-1,340606,736850,-1,205060,-1,735315,-1,-1,-1,-1,507711,57578,-1,-1,-1,-1,915481,291757,57347,401971,238749,-1,815147,-1,48944,184221,832188,-1,-1,201209,-1,902424,-1,-1,239383,-1,552826,607186,298955,405126,-1,860482,590611,711686,837688,-1,862187,871130,-1,577115,-1,-1,-1,-1,594092,-1,-1,207788,-1,-1,939482,212078,-1,-1,-1,-1,-1,-1,217870,285530,142889,-1,655812,867887,-1,-1,384799,-1,824462,-1,885179,-1,885124,785169,745374,-1,-1,195651,429136,497373,-1,655175,575988,-1,-1,-1,-1,705575,916774,-1,-1,-1,540423,-1,640694,930079,-1,150000,826987,-1,329751,461226,-1,-1,-1,-1,-1,43352,-1,-1,-1,-1,230674,990921,63976,-1,426960,-1,-1,-1,-1,-1,462739,-1,-1,636454,972209,801161,-1,-1,455168,-1,902132,629304,-1,-1,729028,-1,339805,-1,683668,-1,-1,-1,955393,-1,849154,651380,130914,523568,174862,761031,-1,5714,139154,621146,112796,845144,-1,-1,784052,-1,-1,318528,-1,21281,-1,-1,-1,-1,91639,46275,719953,677751,-1,458725,-1,-1,-1,855164,-1,-1,-1,-1,-1,-1,-1,-1,233631,-1,-1,-1,-1,563226,-1,-1,-1,690195,-1,66299,159824,468300,-1,-1,-1,-1,145690,107651,-1,460815,-1,704739,-1,979100,-1,-1,75963,456774,-1,-1,-1,-1,-1,-1,960249,500982,-1,-1,-1,-1,696702,437975,164023,-1,-1,-1,608657,751075,627339,511039,-1,972319,-1,-1,460318,-1,-1,18385,831451,812138,566367,-1,-1,237581,325796,-1,40646,-1,-1,950105,936857,-1,455058,-1,-1,513809,349975,300373,-1,781480,-1,14037,426557,-1,358190,931435,-1,-1,330233,136680,55915,-1,659337,941632,596201,-1,-1,-1,-1,506347,-1,529078,6644,-1,103173,-1,-1,856479,496196,201929,-1,60437,840173,-1,-1,209293,-1,870097,-1,-1,608692,675188,-1,930619,337710,730557,170144,402339,296053,-1,803821,465049,83102,-1,-1,-1,962704,-1,-1,-1,-1,-1,-1,272252,816538,-1,-1,162279,491932,569315,861605,911777,294366,671035,620358,841171,-1,432248,745249,-1,-1,36988,187646,-1,397497,-1,-1,881698,767705,-1,4466,216853,558350,-1,-1,-1,512708,-1,308889,-1,-1,234083,-1,896437,454385,-1,-1,196899,-1,-1,-1,-1,-1,-1,617119,-1,-1,985680,-1,-1,665171,69777,-1,147205,-1,-1,418632,-1,-1,963495,-1,-1,464387,117655,-1,-1,-1,-1,642486,-1,-1,-1,-1,-1,373469,-1,699838,222991,-1,271351,625903,26770,734563,561645,-1,-1,706670,612149,-1,730344,-1,681609,-1,-1,46325,-1,-1,272095,-1,465634,-1,686174,-1,-1,-1,772537,882898,-1,-1,158534,-1,824096,-1,-1,-1,835953,773852,-1,-1,213263,321871,-1,-1,-1,453774,-1,-1,-1,109810,-1,15339,579480,-1,452031,-1,748941,868614,-1,744314,825938,978967,-1,-1,-1,-1,-1,-1,154370,942951,203669,170353,-1,697894,-1,418804,68831,826718,-1,470254,-1,712927,-1,783304,-1,-1,-1,739236,-1,-1,940039,-1,-1,-1,-1,-1,-1,-1,119590,-1,261313,-1,939091,277392,-1,-1,314454,977813,-1,-1,61289,153599,718665,656725,-1,-1,-1,136201,-1,549532,170763,-1,-1,-1,-1,329564,887268,-1,-1,-1,252138,218205,-1,-1,-1,531964,918819,-1,-1,-1,270392,-1,137607,78450,-1,670316,421055,-1,-1,-1,-1,751999,241360,-1,-1,498147,611014,-1,-1,-1,111640,646446,-1,-1,-1,-1,-1,-1,101006,-1,640153,612172,417219,-1,618599,-1,-1,-1,18017,-1,38381,-1,96861,135177,-1,-1,52235,-1,-1,-1,201461,607320,824810,659970,-1,409320,877527,591310,384077,155591,373954,-1,-1,-1,516122,974559,-1,754489,936438,142914,-1,75117,550395,50756,-1,-1,777136,769983,650122,97361,979874,336854,678117,498846,-1,595683,-1,710019,829761,554909,335971,367681,594224,-1,-1,983766,603857,-1,946500,-1,284166,808911,247315,276694,347799,863679,-1,-1,-1,590652,-1,475122,-1,209349,468903,282133,23678,-1,-1,455098,-1,673340,-1,-1,-1,305367,-1,762120,477721,-1,600094,-1,226058,-1,39670,498529,-1,99676,-1,-1,-1,-1,418177,407297,-1,-1,-1,299874,-1,-1,-1,-1,83402,-1,535472,-1,972220,298285,-1,169570,-1,876655,393459,684462,-1,-1,-1,-1,-1,-1,214361,709470,19669,-1,884883,-1,-1,390223,140689,-1,900949,-1,302499,11019,-1,-1,-1,472364,250262,67950,-1,900074,391863,-1,-1,228833,663737,-1,708395,-1,-1,-1,110458,-1,-1,656843,-1,740719,-1,-1,786985,-1,267236,882258,793111,846138,835620,729980,718390,-1,-1,-1,-1,602865,-1,-1,-1,785246,-1,-1,-1,-1,-1,-1,150330,-1,-1,631218,235447,-1,-1,630982,-1,546683,303314,-1,-1,-1,-1,527268,79231,-1,302654,14209,-1,887576,-1,-1,-1,-1,928246,-1,599665,-1,-1,581580,71696,976384,279905,413960,965972,763097,-1,-1,-1,-1,-1,-1,-1,551411,-1,519900,-1,727128,-1,640419,821274,790395,-1,-1,-1,218,-1,-1,-1,-1,-1,414189,843780,662301,-1,552226,828578,661629,668395,660566,22220,-1,-1,896628,130458,-1,-1,-1,-1,708490,382435,-1,634644,-1,709927,-1,-1,-1,-1,-1,134738,-1,-1,973371,662089,73648,-1,-1,-1,627703,698233,-1,582535,-1,-1,-1,-1,467083,-1,108585,-1,-1,576706,-1,184664,324712,519804,352029,-1,-1,453946,-1,-1,379343,137003,632883,-1,747506,831514,-1,-1,45897,970911,-1,-1,530040,-1,-1,978340,749817,-1,-1,-1,942774,32149,27387,-1,39744,355444,-1,-1,886347,555918,806903,422398,625120,709451,-1,-1,658636,-1,-1,637542,137333,647302,-1,-1,-1,-1,-1,395369,-1,-1,927896,833999,-1,-1,598067,228941,209075,-1,363658,-1,731189,416955,951701,-1,-1,710731,-1,326490,198276,-1,367030,41039,-1,934091,-1,-1,348668,-1,-1,-1,947372,-1,-1,730420,887112,-1,657157,-1,-1,71496,649019,-1,-1,-1,-1,-1,-1,476518,254228,-1,889413,-1,-1,-1,-1,-1,-1,669425,719770,758950,-1,-1,-1,-1,-1,523565,252887,-1,107856,74416,-1,840912,961091,-1,964958,51048,-1,-1,200083,-1,580468,446044,444396,154896,-1,-1,958036,710767,-1,-1,947338,-1,841229,567428,940419,-1,-1,872192,-1,-1,-1,-1,-1,-1,-1,601749,-1,-1,306795,8554,42296,-1,531637,411381,253901,466549,113773,-1,79070,457819,913475,-1,357775,-1,-1,-1,-1,-1,-1,-1,-1,785261,-1,111403,-1,162696,-1,469950,233499,-1,510116,-1,-1,619535,-1,-1,194441,-1,-1,889265,-1,424303,-1,195278,-1,-1,92872,104243,-1,837970,757391,220342,608890,-1,147286,22110,148919,284903,481260,754259,-1,-1,913573,-1,-1,-1,-1,17051,365908,418521,-1,-1,-1,-1,-1,29795,-1,-1,-1,635466,-1,-1,926932,-1,-1,-1,610086,467854,590140,-1,782271,53401,-1,-1,649034,991018,-1,-1,-1,163200,-1,-1,992986,-1,-1,-1,-1,763107,-1,-1,-1,-1,-1,718895,390375,791899,-1,810437,-1,-1,374550,834155,-1,419907,-1,-1,238954,753537,867217,61544,289532,806527,-1,-1,-1,777699,-1,894396,102043,-1,363003,-1,-1,763709,614094,-1,-1,-1,-1,-1,235023,918265,223815,-1,849760,593273,17293,-1,-1,-1,-1,834107,527431,-1,165199,-1,804828,-1,-1,-1,-1,527774,347266,505411,-1,147667,-1,-1,-1,-1,633333,685724,-1,535998,-1,-1,-1,615772,-1,-1,485172,51464,-1,-1,-1,-1,-1,111867,-1,988924,-1,324758,-1,-1,-1,877744,269171,-1,965807,454729,-1,727258,174077,-1,-1,474501,35402,-1,493183,-1,-1,555385,-1,959308,-1,510074,-1,-1,597611,-1,844584,825887,375081,141353,-1,-1,651244,389151,-1,-1,741967,207348,512007,-1,-1,-1,-1,625300,599321,-1,-1,-1,-1,-1,46421,-1,935201,-1,221353,115076,494051,-1,-1,369608,-1,-1,743517,-1,-1,-1,310957,642620,178571,-1,-1,911767,-1,-1,444231,-1,-1,-1,-1,-1,600080,-1,136803,847076,-1,-1,803204,-1,821012,908177,633008,985661,-1,853265,941946,-1,79365,-1,-1,901181,-1,-1,389493,-1,-1,-1,193879,612534,-1,-1,-1,-1,-1,-1,-1,-1,-1,903493,-1,-1,5402,569886,644154,-1,-1,-1,5272,-1,-1,797392,99201,-1,285355,-1,-1,-1,76254,59531,990724,-1,169300,-1,69497,-1,101179,-1,199951,209691,485699,-1,279581,-1,770221,-1,-1,383847,418924,671152,-1,-1,-1,-1,693167,-1,221326,853808,354671,716743,-1,704391,93885,-1,546392,631064,426807,-1,361486,-1,84596,-1,-1,440538,654539,653139,-1,577311,-1,592998,-1,940708,622672,-1,960354,-1,-1,842358,710768,-1,397817,-1,979298,-1,403904,451401,-1,-1,-1,-1,47733,-1,720280,913137,971719,32004,-1,-1,834862,294398,779698,-1,-1,-1,-1,461445,-1,181363,-1,-1,47539,-1,-1,319601,-1,398097,-1,-1,134314,819599,69547,398295,709437,-1,-1,-1,-1,86633,-1,-1,-1,-1,488280,24174,528976,-1,-1,289487,948885,-1,518186,87082,-1,-1,-1,-1,503679,-1,13881,-1,243866,-1,-1,-1,-1,738237,-1,-1,690765,186555,556132,-1,-1,643605,-1,-1,-1,689459,-1,613477,-1,-1,547103,-1,-1,137518,-1,982853,-1,-1,-1,-1,-1,-1,439360,287335,-1,-1,120636,71148,843244,969449,-1,-1,-1,31561,-1,387,328091,655271,-1,-1,-1,308670,612310,629816,341133,-1,-1,547295,-1,-1,-1,389453,-1,-1,764507,-1,361748,64119,536011,-1,-1,-1,386521,973697,-1,695845,-1,127260,-1,336583,-1,500355,964837,932094,-1,413367,-1,-1,-1,916570,633270,-1,285107,826239,-1,-1,-1,-1,887441,-1,620075,-1,477964,-1,-1,720025,517930,-1,-1,740516,403418,877864,-1,-1,-1,715784,-1,-1,-1,568658,-1,-1,558407,-1,-1,-1,-1,-1,971973,476016,874209,-1,-1,566780,-1,-1,-1,-1,-1,-1,-1,-1,139596,385388,-1,839819,-1,-1,695584,300367,-1,635137,-1,76294,-1,-1,-1,671846,-1,-1,21844,592532,748186,992990,90327,887609,-1,788471,-1,37042,-1,-1,846746,522114,133105,-1,434012,834938,524402,273817,-1,-1,-1,89932,157487,-1,370081,-1,-1,91954,497988,677502,9583,657856,-1,588586,190466,97596,69244,-1,-1,-1,894074,-1,-1,721651,-1,-1,674443,669084,-1,-1,-1,-1,-1,-1,-1,-1,276500,-1,843331,843081,-1,-1,-1,537267,-1,784630,-1,176529,413566,434729,410020,-1,32733,654563,-1,-1,-1,278979,706958,693922,-1,326251,929078,-1,-1,-1,445839,36037,-1,456574,-1,-1,-1,15608,710793,21141,948951,-1,-1,-1,392340,-1,-1,986428,217276,-1,746005,-1,-1,916347,306133,-1,455654,383323,-1,-1,185365,-1,95532,-1,-1,711206,891566,822729,795591,68959,309211,-1,-1,-1,-1,370319,484132,-1,322045,-1,-1,547787,-1,-1,872239,-1,-1,483644,524691,817995,676547,605164,-1,425727,-1,-1,961140,93181,539902,-1,-1,102067,426600,-1,135131,119538,-1,-1,-1,-1,273871,88641,-1,-1,-1,500816,782353,494757,308300,165256,-1,-1,-1,486952,-1,-1,51155,51651,951127,215953,-1,-1,-1,241163,18173,479961,473089,-1,708872,524485,-1,680184,-1,450410,100616,-1,-1,-1,205049,-1,58686,-1,-1,636167,-1,881464,240570,-1,-1,-1,156078,-1,-1,957617,40284,-1,72603,264100,-1,-1,-1,-1,10228,571422,-1,108294,-1,-1,870767,638167,195521,-1,-1,-1,-1,269180,17177,500075,-1,572236,277132,543676,-1,106149,287418,558240,-1,626488,-1,-1,91922,-1,-1,41493,-1,-1,-1,165929,798827,-1,955276,-1,-1,817839,839577,-1,538071,-1,-1,-1,783314,912659,475899,-1,619944,653662,-1,39498,-1,903046,-1,687904,-1,304771,339908,-1,413089,272988,-1,456802,-1,-1,-1,-1,-1,-1,-1,-1,99790,-1,-1,142755,642848,738867,-1,612297,332502,-1,-1,143321,-1,-1,311636,-1,613078,-1,-1,-1,-1,-1,169367,312860,310479,700776,411984,-1,-1,-1,-1,-1,-1,-1,427432,12942,32936,377818,480266,101231,765587,981917,-1,821317,-1,-1,-1,146574,-1,-1,-1,-1,390447,585148,411647,59977,-1,926432,559545,-1,707528,-1,485292,758133,956535,-1,-1,176643,-1,732050,-1,834840,774190,-1,947563,-1,-1,590164,526857,-1,721186,-1,274005,-1,562372,139469,-1,490641,-1,816887,-1,-1,-1,-1,-1,134112,-1,-1,232112,-1,-1,-1,130784,747702,-1,-1,-1,-1,889358,626588,-1,-1,879849,-1,-1,620967,-1,-1,-1,-1,-1,-1,-1,874181,252034,123928,974300,246003,644331,-1,413032,423920,734359,12080,917143,-1,608457,427964,721342,98079,422600,638042,-1,-1,-1,-1,158133,219085,485102,-1,16376,-1,-1,818546,989516,427358,176118,344326,-1,31715,813181,749385,-1,567431,333448,-1,470459,-1,48323,-1,-1,-1,618918,-1,-1,-1,154771,-1,548461,512154,-1,-1,-1,-1,-1,-1,-1,20865,284070,142222,-1,233126,-1,998713,366756,291426,-1,-1,-1,-1,-1,849827,-1,813969,167361,-1,-1,85425,-1,998456,548085,355918,380772,-1,917913,608668,-1,384855,370293,-1,904988,-1,936741,163044,423242,904945,-1,368705,-1,582785,-1,419441,-1,179139,500012,-1,-1,-1,174477,298683,-1,-1,-1,-1,899716,-1,485770,-1,136249,-1,799802,-1,-1,-1,-1,-1,134572,162439,-1,-1,-1,605386,-1,384585,-1,-1,176759,613218,-1,717667,-1,802441,-1,273198,814185,819188,-1,-1,802655,19355,-1,561779,141847,-1,-1,-1,3085,80877,-1,714271,999849,930822,385606,-1,-1,895356,-1,171967,339447,-1,-1,-1,805606,-1,643116,64759,288214,684723,-1,474479,-1,-1,94756,-1,224131,986272,519219,707191,597361,193445,918071,-1,192842,512347,-1,-1,19940,-1,-1,-1,-1,979170,-1,302682,-1,940043,-1,396701,-1,104524,-1,-1,-1,-1,959822,-1,720922,-1,726087,551911,-1,-1,743423,-1,646662,136920,106612,-1,-1,209024,-1,767810,-1,587325,-1,-1,-1,472853,990342,-1,-1,-1,470586,568056,-1,-1,508107,-1,145885,980664,-1,53793,337558,311689,446802,-1,-1,-1,330395,470845,831160,-1,-1,475980,654337,-1,-1,-1,-1,367173,365581,-1,563986,-1,-1,205634,-1,384688,61218,-1,-1,471896,964224,381634,-1,-1,-1,-1,131525,-1,-1,-1,-1,941704,-1,668560,821759,473957,-1,-1,-1,-1,-1,630405,475293,81664,-1,878523,741741,-1,982079,-1,100558,-1,-1,-1,632728,776141,140352,-1,-1,315260,-1,-1,-1,-1,-1,-1,-1,778339,226656,683293,602920,-1,-1,-1,786012,453987,425874,-1,448715,121450,-1,152151,967086,-1,175185,-1,-1,298619,-1,617363,466995,693556,189740,12457,-1,651886,601614,-1,-1,-1,299400,546744,152651,989993,133625,-1,-1,-1,-1,855153,-1,-1,-1,-1,484213,490382,875853,-1,-1,108374,472386,-1,-1,-1,525628,987167,90069,521610,-1,327200,774014,133344,892415,-1,-1,-1,-1,425514,991012,825592,-1,868161,543371,156617,-1,778264,539472,-1,-1,-1,736495,446358,279691,-1,-1,61948,577215,-1,165033,-1,-1,926400,181869,-1,-1,825219,902828,905281,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,873924,897248,-1,172343,-1,-1,166713,940732,-1,-1,-1,-1,-1,-1,-1,576969,953875,-1,910351,630692,588997,149046,-1,423510,614234,672645,609646,718096,-1,385135,-1,870628,44741,221520,-1,-1,-1,-1,-1,354939,-1,-1,833211,511250,-1,-1,-1,-1,698041,-1,276988,660153,-1,41778,-1,147680,-1,731330,-1,-1,-1,218516,-1,373550,290218,187321,158826,82054,489463,842500,-1,-1,-1,-1,184471,860966,446099,173428,-1,-1,-1,-1,705418,160917,398114,-1,-1,277478,836839,834635,668541,-1,-1,81668,-1,-1,801645,182675,384081,-1,-1,-1,-1,-1,421746,-1,541180,961313,-1,-1,-1,28615,-1,-1,-1,601158,322741,702368,260727,-1,879025,585998,478612,20093,-1,178670,-1,-1,464024,29743,-1,701560,-1,-1,-1,409046,-1,841075,4102,-1,-1,737939,782368,350065,-1,-1,448349,-1,807920,932146,838765,94852,467004,-1,-1,41210,-1,895585,699358,602692,861988,57142,261128,105347,-1,759240,-1,-1,409162,-1,-1,-1,266144,910356,-1,-1,-1,-1,50344,712753,-1,44740,-1,-1,523957,573524,-1,-1,-1,733776,-1,-1,802661,-1,-1,-1,739931,-1,374515,859526,-1,-1,489668,-1,589975,399416,-1,-1,253473,-1,-1,159673,-1,871986,-1,353267,-1,-1,-1,-1,538216,-1,-1,451113,729118,329538,-1,126724,-1,378134,-1,-1,-1,-1,-1,916060,-1,-1,-1,-1,-1,793479,-1,57830,-1,559940,398112,270259,152746,-1,-1,-1,-1,139826,-1,651160,121591,460996,816071,15792,473238,-1,405082,-1,886685,-1,-1,982757,966717,-1,908394,517592,667599,-1,-1,-1,303746,678712,219755,639189,-1,218670,-1,131935,436852,-1,-1,-1,40344,282963,-1,-1,-1,36615,-1,-1,181415,238858,-1,-1,-1,-1,307054,-1,311248,-1,141091,-1,-1,142280,826042,-1,5206,598917,-1,-1,-1,636232,-1,-1,998875,963317,-1,608622,689568,393820,-1,610347,-1,-1,-1,-1,-1,-1,222053,938158,735152,-1,266309,-1,168242,37593,821560,183988,-1,-1,134107,96447,489269,-1,-1,633635,-1,-1,348361,784942,469327,-1,993173,-1,344375,307234,153532,-1,-1,272783,922593,603797,700284,-1,95673,199543,960250,-1,2559,-1,-1,584793,-1,382161,248115,116776,270535,684314,43457,563539,189714,-1,556549,904614,-1,127903,-1,-1,277113,796692,171084,908230,575178,-1,589572,-1,-1,505556,533597,-1,590619,475229,-1,78871,-1,935460,-1,-1,-1,-1,-1,752602,897387,390566,943041,-1,-1,224254,378052,-1,-1,-1,676529,48021,235867,-1,433214,482033,273828,566642,772143,102552,-1,-1,-1,-1,-1,335793,227636,-1,-1,-1,644305,430144,-1,372775,649825,765201,386221,892969,-1,463680,94311,-1,-1,580035,346514,117864,448558,-1,977437,154666,927057,370686,-1,649171,3567,466135,876438,-1,854243,314610,-1,-1,887961,432050,-1,-1,213866,187690,497055,-1,823579,-1,814690,-1,884001,-1,-1,811061,-1,292462,630224,388435,-1,-1,587155,84051,306888,578188,-1,683077,931714,-1,32421,500104,-1,108260,-1,528772,392326,241726,-1,232160,494269,-1,-1,-1,849609,236289,-1,790453,-1,19088,-1,-1,-1,-1,449453,468044,695746,923571,294267,-1,-1,-1,265463,-1,82292,-1,693198,892635,888038,-1,-1,389219,-1,497037,977857,884572,-1,-1,890684,-1,-1,-1,-1,-1,-1,309503,-1,-1,-1,803898,-1,512304,67054,906448,728559,395094,575632,-1,-1,346736,136352,-1,-1,71196,771535,524132,346992,870226,-1,309565,-1,-1,-1,-1,-1,606743,-1,383723,-1,16259,68172,-1,858832,251995,811731,204535,-1,-1,495413,-1,-1,228341,-1,-1,-1,609894,680677,-1,630292,362335,-1,-1,401136,151801,385224,-1,-1,-1,-1,-1,609483,148512,405430,278439,493165,56490,420168,844262,-1,-1,-1,952033,15078,-1,148929,-1,240760,-1,356,871943,-1,874102,-1,455126,-1,893168,517976,-1,-1,368586,740497,239717,-1,-1,29231,604248,-1,-1,954359,264954,405383,66479,-1,100842,950668,-1,-1,826274,-1,-1,845969,487605,-1,-1,-1,436350,888821,833143,244329,-1,-1,552386,601999,-1,990596,752854,-1,253445,329345,-1,101770,-1,32965,650733,-1,-1,535143,89034,-1,784350,-1,271918,-1,-1,965201,298887,-1,65084,343318,291752,216350,-1,788433,-1,-1,-1,-1,-1,-1,-1,-1,577271,119191,-1,-1,767709,-1,-1,702407,268070,504340,-1,595357,70513,502417,405392,788960,-1,-1,821943,248791,-1,-1,745716,-1,-1,456933,582150,385023,195426,-1,497406,-1,789965,-1,878751,309030,183706,-1,-1,451065,-1,579806,262935,59339,-1,630850,6177,399894,-1,316081,514202,803733,-1,281029,-1,957146,-1,113322,-1,777329,-1,-1,400703,836382,550748,452915,-1,-1,-1,-1,139268,-1,-1,377802,-1,-1,-1,-1,774715,88268,33175,991634,903688,173391,549003,391148,430539,920913,-1,-1,880133,-1,-1,321549,132377,-1,852610,206798,-1,122579,-1,262873,321667,-1,-1,-1,245601,-1,-1,808322,-1,-1,157079,747197,46881,714451,-1,436949,546923,787717,201189,-1,-1,749563,936217,-1,402777,965040,-1,160491,-1,-1,-1,222507,505806,-1,-1,717887,-1,-1,-1,-1,-1,-1,-1,5114,266751,661614,-1,-1,443283,906478,-1,-1,-1,661956,-1,-1,-1,-1,846448,-1,-1,732548,345185,-1,225680,-1,230438,-1,-1,-1,-1,-1,962727,949373,-1,-1,959755,-1,854809,896354,-1,-1,696311,-1,32783,245776,588404,-1,-1,706614,-1,928309,-1,-1,-1,117663,-1,163990,-1,298765,667926,819017,-1,562529,251342,616175,891985,-1,-1,179231,967245,-1,-1,-1,523771,824821,603478,83308,-1,367031,596886,-1,205158,-1,488334,-1,-1,-1,-1,616401,-1,-1,-1,919945,755548,-1,-1,-1,-1,-1,-1,-1,-1,291712,-1,-1,153804,136506,173125,-1,-1,337334,459074,733054,-1,531558,809624,111722,573841,-1,580463,279562,855370,175549,958958,-1,-1,24443,-1,-1,714280,90340,-1,-1,-1,-1,656530,280681,648088,591193,751988,797800,-1,792278,-1,-1,-1,525208,-1,-1,-1,170390,565271,-1,176560,627592,-1,-1,284160,-1,72250,878696,-1,241729,774423,603957,-1,-1,-1,311941,-1,539065,-1,934664,-1,-1,575271,837164,635858,-1,-1,-1,-1,-1,147415,-1,-1,-1,-1,690651,-1,-1,561175,41094,-1,-1,920458,-1,-1,308046,-1,-1,693149,377275,993078,665589,-1,-1,479173,498527,480698,-1,-1,391657,399872,894601,588383,-1,-1,512917,725294,-1,-1,314083,517776,515603,579526,-1,337172,470597,530616,-1,256768,997522,68388,161933,-1,922008,-1,122798,-1,-1,-1,-1,-1,895125,941628,-1,730608,380297,284799,-1,-1,200557,-1,955159,529089,-1,-1,589241,99363,-1,-1,-1,-1,-1,712125,210630,467525,423148,-1,-1,434219,-1,-1,103165,990553,429976,418478,832658,926536,-1,499415,360490,-1,760402,-1,130328,-1,-1,127988,-1,751514,490402,787448,-1,590869,722122,153573,-1,-1,309125,243904,911164,241150,-1,210662,-1,866155,800544,-1,470602,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,554307,-1,216884,-1,970617,597692,806715,577697,-1,346348,180588,-1,-1,643447,429966,972973,246731,482723,-1,898925,-1,77009,504444,752952,62824,713147,-1,171939,115134,164997,988092,-1,-1,563015,-1,-1,791970,-1,618889,-1,211902,-1,-1,591976,-1,-1,938123,-1,914287,-1,-1,-1,896999,16141,-1,938614,-1,-1,-1,792062,885084,-1,-1,445681,537050,646663,-1,-1,594919,766188,954714,-1,921910,-1,587988,-1,-1,-1,-1,874306,-1,-1,405867,393863,44431,-1,-1,658023,759029,-1,-1,593233,-1,-1,160055,-1,-1,728646,-1,-1,-1,389212,84085,-1,-1,786266,-1,836781,86572,72911,753781,-1,-1,-1,683827,541105,-1,19817,532876,562563,517084,551714,361220,-1,-1,-1,-1,183437,-1,-1,135465,89552,-1,-1,-1,-1,672084,495708,316072,564632,-1,-1,412944,-1,818501,-1,-1,736501,-1,159894,-1,-1,-1,725462,674903,930115,-1,-1,-1,-1,-1,-1,-1,155432,-1,-1,964081,-1,693682,895788,315486,575715,-1,-1,-1,-1,58445,589552,69094,174704,327650,-1,308299,687919,235584,-1,-1,928457,-1,922303,581008,100795,159048,-1,137854,604085,-1,839232,245521,545414,-1,225781,-1,525078,236258,-1,126665,133770,-1,-1,-1,132013,-1,204426,-1,373131,438346,401157,-1,-1,-1,832793,786435,-1,583282,538985,-1,-1,-1,-1,-1,-1,707852,186485,-1,331897,-1,-1,616146,-1,-1,-1,-1,434622,209008,854183,685245,564163,188831,904855,-1,729301,-1,224571,682131,-1,-1,609831,-1,733057,111466,-1,-1,-1,11723,465026,796046,85513,38020,403134,-1,973003,-1,20507,544007,55558,-1,784590,-1,981737,99998,573118,-1,-1,-1,-1,390152,-1,-1,203252,310415,313526,828063,-1,-1,-1,-1,-1,-1,-1,980270,952254,-1,-1,-1,-1,251255,16206,-1,62485,-1,271108,21506,367777,-1,-1,-1,-1,-1,-1,-1,-1,-1,450222,11451,-1,831271,535961,358327,-1,369202,457748,709662,406697,-1,7577,591444,-1,-1,-1,462995,639054,-1,-1,942601,801050,-1,-1,-1,-1,-1,-1,-1,967048,-1,367465,99044,-1,970776,-1,533512,902137,-1,-1,-1,-1,-1,291675,972650,-1,945973,-1,976183,-1,-1,105599,734534,-1,694221,773512,531093,889650,-1,-1,572766,973207,-1,-1,253540,-1,-1,-1,658297,-1,-1,-1,-1,2853,-1,-1,418055,-1,-1,-1,904075,-1,-1,65504,854736,3831,526306,-1,296505,684652,409160,850018,444730,-1,212977,559950,304431,-1,590522,188272,-1,-1,-1,-1,408731,-1,-1,-1,-1,-1,436490,120684,444260,664888,-1,-1,-1,-1,732470,728887,87681,982713,622965,-1,940641,-1,486747,-1,-1,680536,362209,108674,718453,256174,138926,-1,975580,-1,408964,131531,-1,-1,480974,399702,44166,822980,727286,853523,-1,-1,969871,513798,709424,224937,-1,495953,-1,448476,152006,-1,490500,386604,645313,-1,963969,890069,-1,845817,586551,49252,-1,844930,505454,-1,688592,-1,-1,-1,-1,254713,150473,-1,432528,-1,-1,59661,421516,874674,550781,-1,792009,30811,282361,-1,610010,-1,823905,-1,8550,-1,809370,-1,431638,-1,-1,-1,455402,-1,394231,-1,298245,519040,-1,743512,-1,-1,-1,-1,751051,-1,-1,-1,-1,-1,-1,430630,188491,-1,792740,768850,186585,-1,-1,-1,434127,370187,434536,781128,784332,865343,171848,989179,188522,-1,789813,-1,-1,827503,-1,-1,562568,-1,54834,413039,168716,563299,629373,366169,814557,705593,-1,-1,140629,-1,-1,-1,-1,760369,-1,-1,604858,533940,668571,695944,988038,-1,-1,285955,829432,118816,-1,-1,517081,-1,293019,-1,510221,223156,-1,-1,170887,-1,916251,554489,-1,357755,812901,624262,-1,517071,449206,348931,590273,588133,564873,-1,-1,772567,72763,-1,334806,206229,-1,-1,65728,661590,-1,-1,-1,182397,-1,-1,428051,-1,-1,-1,649096,-1,485781,930152,500444,738034,603837,-1,299705,970630,-1,270310,-1,617267,370726,544274,-1,800087,-1,973324,-1,-1,-1,-1,914008,-1,333778,-1,-1,-1,-1,780363,-1,-1,-1,230032,-1,132606,777236,430514,-1,570879,738627,-1,-1,602841,-1,-1,-1,103679,179332,131854,-1,-1,41465,69219,-1,-1,38088,-1,396789,277545,-1,-1,-1,580495,787657,-1,459065,-1,470162,314925,482219,864940,860811,963832,567337,629064,-1,970240,762825,269004,21820,-1,335589,910576,-1,8231,594650,-1,107242,-1,-1,-1,548233,569983,288156,626731,210352,910863,168736,996958,-1,-1,806590,-1,866966,202048,-1,252814,-1,-1,-1,-1,947912,-1,222085,-1,392191,295771,-1,540499,179600,964611,587131,-1,-1,-1,274078,-1,887373,-1,-1,390299,371295,708299,553063,-1,543643,334071,-1,-1,-1,185646,143726,-1,-1,-1,244485,5956,-1,-1,236009,-1,393080,991435,-1,-1,-1,43695,-1,43566,684773,918178,-1,-1,306425,-1,-1,955724,4445,683651,-1,189040,-1,-1,-1,-1,-1,-1,-1,-1,-1,551300,181653,879059,-1,368970,265857,192667,291328,301307,602803,-1,929696,-1,-1,-1,-1,-1,-1,-1,-1,860880,63251,530250,62127,818759,65295,318302,-1,628696,-1,185305,14711,160493,-1,323801,487659,-1,-1,853101,326516,-1,-1,-1,827909,68052,-1,596340,-1,845838,-1,-1,896179,226231,-1,53837,-1,916632,181049,692684,359479,61411,-1,-1,96172,-1,261112,409494,-1,-1,-1,-1,868724,27041,226824,-1,-1,-1,372740,-1,806770,-1,287700,-1,-1,723881,-1,-1,-1,-1,-1,691571,601324,697220,518101,-1,939811,-1,-1,618901,-1,-1,-1,-1,286417,-1,-1,280553,993044,-1,-1,-1,-1,506165,944130,-1,576125,-1,-1,582362,-1,33553,-1,-1,17005,-1,393456,-1,-1,-1,305426,663697,-1,-1,-1,-1,-1,-1,209152,-1,548646,-1,764995,-1,-1,-1,847914,160229,-1,-1,118474,-1,792162,-1,552182,245195,348604,-1,-1,-1,-1,-1,364598,376958,698369,376873,-1,512049,-1,-1,208799,682399,19846,-1,-1,453626,772483,-1,-1,-1,49559,250012,-1,-1,95425,159482,617803,219693,-1,-1,997840,-1,843153,-1,-1,-1,-1,276698,-1,315829,596247,604619,-1,-1,-1,937265,89877,621480,-1,-1,-1,-1,-1,99747,53299,-1,-1,-1,915418,-1,385362,-1,183825,905211,420000,-1,92667,-1,-1,-1,114151,-1,-1,722930,-1,-1,-1,-1,-1,-1,674344,-1,515383,953217,664316,742664,553782,899633,-1,419751,727439,680834,424587,317674,-1,-1,-1,-1,299534,-1,-1,-1,746054,-1,-1,-1,314246,506970,-1,-1,-1,-1,676263,475254,-1,-1,-1,260348,783330,-1,296279,-1,-1,807642,-1,-1,-1,996631,-1,-1,-1,74002,490138,316174,-1,-1,-1,896928,-1,365339,-1,-1,-1,-1,388326,-1,-1,541647,-1,465812,-1,36078,-1,619051,127044,109208,5647,754450,856425,269420,525420,-1,-1,-1,796276,49905,982162,-1,-1,-1,105723,107006,690818,-1,68892,664386,711851,524962,-1,-1,-1,-1,491224,423304,-1,-1,-1,-1,-1,-1,347773,502290,462071,159443,-1,-1,233312,-1,134142,-1,-1,276447,950938,-1,-1,240463,-1,356289,-1,-1,30291,50487,193591,-1,154208,-1,374809,-1,-1,802678,-1,-1,88073,838038,488925,832523,341309,916531,-1,-1,356660,320032,-1,195132,215287,-1,-1,570674,-1,-1,621561,-1,341687,-1,-1,-1,269746,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,89186,104783,899001,375694,363359,694701,950791,-1,-1,207116,-1,828712,-1,-1,-1,-1,54098,-1,-1,-1,-1,-1,43573,-1,-1,-1,842681,337499,-1,50662,-1,800762,-1,-1,826025,161889,-1,896333,-1,-1,-1,867539,41030,-1,482847,327795,425443,201634,-1,288340,-1,-1,-1,-1,-1,452320,467261,788533,999017,-1,699535,-1,-1,-1,370227,991233,-1,874092,-1,739180,577164,476291,-1,194283,-1,148146,683650,787598,-1,-1,-1,-1,-1,-1,731422,889048,925046,197551,484194,307121,-1,-1,-1,967634,-1,-1,-1,539662,87530,231222,41047,787471,624653,-1,-1,531406,243461,-1,972227,-1,720884,479119,-1,832740,990420,546946,384567,-1,536418,242725,-1,505743,-1,-1,-1,888252,-1,-1,-1,16145,185457,-1,362998,743583,717194,-1,-1,-1,310659,628207,-1,-1,-1,930461,-1,866851,-1,-1,-1,322838,760714,-1,279217,-1,888232,41188,670336,633837,972496,-1,-1,951143,655510,216567,-1,-1,-1,568875,-1,860725,97976,998712,-1,629934,-1,559952,737417,-1,239238,972090,-1,-1,547512,-1,-1,-1,74790,944675,-1,-1,-1,816406,190119,430470,152954,-1,-1,-1,-1,-1,761970,580423,-1,-1,-1,-1,18762,-1,-1,892689,-1,905571,272262,-1,695421,-1,-1,-1,555245,-1,611957,729846,632335,-1,-1,-1,118986,466205,-1,-1,478677,-1,-1,91640,694798,73109,317160,-1,-1,-1,235248,302276,-1,-1,-1,-1,-1,662905,87295,110118,-1,-1,73565,-1,859740,-1,-1,558781,-1,713385,-1,-1,680892,606444,964451,784626,296798,661894,699097,-1,-1,300498,16540,646697,-1,162580,-1,-1,372543,479251,697299,-1,-1,-1,-1,233879,625696,-1,554763,289996,124112,252031,993353,159355,733472,873487,843664,881669,-1,-1,871754,557210,930203,-1,-1,-1,626996,-1,-1,-1,-1,833228,797187,-1,-1,150300,270409,996467,356549,-1,370746,-1,148149,130973,103150,196456,579585,-1,323983,480404,-1,164369,-1,800108,273248,476673,-1,-1,603176,-1,-1,953967,-1,-1,-1,672215,857647,970741,912142,-1,-1,-1,811878,818163,794273,-1,595017,826007,802708,-1,-1,334601,-1,-1,-1,-1,96396,834093,-1,-1,448203,-1,-1,98645,883508,-1,38953,586950,-1,-1,966813,-1,182368,-1,9716,568155,173466,-1,539156,-1,167465,-1,337749,-1,964423,569788,424183,-1,345017,999179,-1,-1,-1,-1,-1,416848,-1,-1,213052,-1,-1,-1,-1,-1,697000,-1,812172,-1,-1,28859,147891,-1,420397,-1,-1,475971,-1,335748,392951,994512,-1,-1,-1,388401,582563,-1,-1,-1,333939,20825,210380,226064,-1,-1,-1,298907,-1,510514,-1,838459,378577,-1,-1,150507,40381,162132,-1,244588,535625,-1,-1,178299,-1,344052,274163,-1,-1,-1,311066,-1,-1,-1,451206,307485,-1,-1,228598,-1,-1,-1,332781,-1,804863,273320,-1,-1,-1,-1,212033,63500,-1,783220,771087,213828,882130,-1,225100,671635,565908,883014,-1,51679,-1,-1,-1,516450,-1,-1,-1,260610,-1,-1,-1,939426,944989,853495,612698,758717,-1,-1,780769,-1,-1,-1,-1,563439,611759,-1,-1,-1,202169,-1,52574,-1,316530,-1,-1,777106,-1,-1,-1,-1,-1,421135,977291,-1,-1,657767,-1,-1,-1,484412,645034,-1,-1,926519,401285,-1,-1,448299,270285,61038,740190,624505,619950,-1,-1,-1,894473,-1,322418,973750,-1,820609,695851,878649,-1,-1,-1,-1,38275,766528,-1,840712,104829,546752,-1,836689,-1,389025,459103,-1,445905,-1,-1,674316,-1,792642,-1,-1,-1,-1,317350,626342,750345,-1,-1,-1,-1,-1,-1,709029,873488,-1,-1,986705,-1,-1,883118,124015,904633,127505,-1,-1,678266,-1,-1,792293,455212,-1,219440,260098,423070,354014,156836,667051,-1,-1,-1,-1,-1,-1,329623,559619,-1,215736,312879,-1,640547,-1,-1,364426,-1,-1,-1,-1,849298,77876,-1,291635,835803,-1,-1,450115,318812,-1,-1,-1,-1,-1,927164,708337,-1,649625,-1,416190,-1,-1,808864,207211,-1,929205,530305,-1,-1,-1,607960,-1,-1,-1,-1,195585,459282,-1,-1,60686,59834,367934,-1,982354,-1,-1,-1,408569,-1,281971,696815,-1,-1,-1,-1,408526,-1,260414,-1,437755,-1,-1,576857,527761,-1,-1,988260,-1,251370,454927,542675,404428,-1,557623,35226,794501,-1,518173,-1,-1,75582,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,573873,-1,206342,642928,91668,-1,-1,-1,-1,353505,-1,-1,192900,-1,203395,-1,-1,731153,847175,914971,-1,441574,-1,510634,-1,-1,378618,-1,125289,747699,-1,-1,-1,341342,-1,-1,357740,208611,705656,728952,-1,738460,-1,170696,74940,866156,-1,-1,-1,577661,-1,-1,-1,348423,239073,798344,13071,295265,30053,266545,-1,-1,383457,-1,-1,876109,556450,293705,-1,-1,-1,-1,50651,-1,257804,583114,648509,258473,258842,-1,792175,282228,183182,855817,752352,-1,12937,559830,665879,447095,-1,-1,-1,-1,-1,-1,-1,-1,996233,384384,22781,-1,-1,-1,203957,441006,-1,-1,465280,-1,576098,585023,-1,134804,-1,175618,966335,770487,872513,-1,-1,-1,-1,891057,-1,275307,-1,-1,-1,549138,825500,-1,-1,-1,935536,-1,-1,891438,91264,209598,54923,-1,-1,666747,390879,657075,-1,792803,252500,-1,554679,-1,-1,251228,-1,540165,-1,321364,-1,159073,-1,744178,788177,-1,974409,-1,866432,680671,-1,386496,923002,-1,940480,592087,-1,-1,-1,761532,125565,-1,544800,-1,224736,618648,142896,-1,566769,225407,59050,729616,-1,-1,-1,-1,-1,526322,455459,-1,-1,714830,283477,-1,-1,-1,-1,976310,-1,-1,-1,-1,303109,38617,723698,239033,-1,121390,-1,735560,661117,439387,-1,693518,699491,93228,-1,851065,-1,701574,-1,-1,923137,-1,399362,516797,431469,-1,-1,-1,537179,212730,-1,409971,191491,-1,760601,303538,491908,-1,-1,462466,75931,-1,-1,978299,767762,-1,845185,-1,-1,138189,324915,-1,69997,402254,628858,955104,680267,-1,689818,-1,-1,-1,764259,-1,760594,135122,-1,-1,874473,-1,382590,-1,757429,-1,-1,132582,998209,761664,835589,534909,-1,48606,-1,-1,-1,244314,562304,-1,-1,382944,43960,-1,-1,-1,-1,112185,275556,876952,157258,-1,257229,388064,906506,-1,-1,59886,-1,847255,35886,415205,-1,752632,733007,-1,-1,548911,923528,502960,284816,310414,151791,232032,-1,-1,806814,763747,-1,-1,-1,637483,-1,-1,453869,-1,-1,-1,475590,260726,468977,710052,710659,745577,197269,264109,-1,-1,855910,806549,396873,-1,957569,-1,914454,-1,-1,857573,-1,-1,179905,-1,-1,945623,-1,192214,-1,-1,-1,978051,-1,516318,-1,777930,609031,-1,743831,-1,809011,-1,170082,936037,-1,72023,-1,530819,-1,-1,861130,246921,307486,499499,578440,795483,-1,-1,598674,-1,-1,-1,-1,537540,-1,929153,972994,835532,42531,-1,761182,680457,256470,-1,222460,-1,136489,340964,-1,-1,-1,38024,307951,273773,679327,-1,893610,-1,-1,-1,-1,507903,261227,829567,-1,-1,555142,-1,-1,225644,-1,617342,-1,605877,426324,637998,46130,352512,-1,-1,-1,-1,360433,-1,-1,514672,-1,-1,734497,417066,649724,-1,-1,-1,513593,823293,-1,-1,673557,474287,764684,676823,670801,-1,940683,-1,-1,383493,-1,468391,-1,-1,77055,-1,482667,-1,-1,-1,-1,-1,-1,57600,386594,341765,-1,-1,-1,932355,-1,-1,-1,-1,-1,69981,-1,-1,377228,-1,-1,448788,38694,980114,-1,340043,-1,53272,308533,550147,-1,810107,-1,-1,471715,-1,-1,382749,434133,-1,557567,559628,626565,-1,-1,-1,-1,856548,-1,-1,-1,-1,379423,-1,-1,427329,-1,-1,428197,611078,-1,634877,200357,348102,-1,-1,902044,727045,607847,-1,-1,278974,-1,822670,-1,830464,53105,26295,-1,-1,246241,-1,546004,-1,769588,917419,851961,108805,561903,-1,220344,-1,-1,-1,-1,183475,779252,-1,-1,928588,-1,239347,454321,-1,34525,163354,-1,660695,668207,-1,-1,-1,-1,275734,960338,979468,-1,-1,-1,622991,76,190557,-1,-1,964870,751218,-1,-1,-1,22057,457174,-1,-1,-1,-1,-1,138512,233951,-1,222920,559368,736172,-1,-1,-1,-1,742513,-1,624995,-1,646716,-1,116852,-1,949826,552781,338271,655113,128078,627307,817377,506804,-1,751818,808208,52722,-1,-1,352969,134401,533916,294589,763998,-1,57840,-1,308560,-1,332413,-1,222399,921912,-1,-1,-1,729242,-1,-1,510541,791419,-1,-1,994803,519728,466542,757921,762952,195271,49353,-1,903551,-1,-1,893948,-1,-1,-1,-1,-1,452117,-1,-1,908062,-1,137850,-1,-1,431029,67670,679163,-1,410627,66678,18038,-1,143077,-1,-1,229781,38172,238202,815806,711374,762017,-1,989047,102941,784932,-1,-1,172084,29404,-1,20039,142846,-1,730234,838794,593268,-1,516121,999958,17972,-1,193062,-1,363227,-1,-1,239368,138520,231120,-1,-1,138039,246966,893133,-1,302482,246896,222721,-1,-1,-1,567272,-1,910690,114225,-1,526221,189806,143642,6602,758415,911951,468669,768855,-1,-1,310057,552717,-1,716727,250328,-1,-1,-1,637997,595151,-1,-1,-1,-1,17026,-1,-1,-1,664893,-1,-1,-1,-1,801303,-1,404108,472222,-1,-1,874873,290558,433452,749172,-1,-1,-1,431324,-1,-1,-1,172501,263392,-1,-1,-1,267226,308666,-1,-1,599873,773662,-1,890355,137635,603551,292457,-1,742540,-1,-1,-1,-1,-1,772475,-1,-1,-1,-1,724784,-1,798142,-1,31373,-1,881353,400905,560056,-1,-1,497263,119767,-1,-1,225692,-1,-1,644762,260544,-1,28768,-1,-1,4714,952263,376239,-1,-1,-1,99216,244299,861007,294444,152082,993365,183870,196872,-1,-1,796227,141711,890755,304822,302385,566531,551462,-1,512859,903909,260614,511736,-1,278664,240406,619874,894927,-1,-1,585359,118877,-1,430184,842238,781676,796158,-1,891994,465994,-1,-1,266467,-1,179780,-1,285067,-1,84213,-1,-1,-1,-1,955947,43438,-1,-1,605931,-1,906657,-1,234771,-1,-1,190877,292093,-1,993456,774275,-1,-1,-1,-1,-1,-1,713462,534164,745067,-1,355462,400071,-1,102841,-1,911647,184107,-1,120412,-1,175289,-1,-1,-1,-1,-1,-1,-1,128518,575941,-1,849064,-1,-1,-1,215446,662990,-1,899419,-1,-1,398834,547136,196843,-1,464537,687263,888680,-1,553534,-1,-1,348277,156069,184428,76089,622355,-1,323540,-1,-1,931402,628506,-1,-1,491945,-1,245611,-1,-1,-1,507320,-1,-1,-1,-1,958765,455077,885335,-1,405106,-1,-1,-1,-1,-1,-1,915174,-1,544981,-1,-1,-1,542893,229039,697870,-1,-1,939701,-1,-1,-1,586793,276688,42287,-1,409675,586244,-1,768024,304255,317537,854859,-1,239367,-1,-1,763301,82060,-1,959513,788469,202077,741505,-1,-1,792783,813846,222319,987060,-1,-1,955776,-1,-1,693931,-1,-1,-1,469206,-1,-1,21184,720634,-1,257386,5101,156665,-1,576654,542068,236856,-1,538244,-1,456498,-1,-1,-1,115017,822295,-1,-1,-1,-1,962731,-1,515306,534642,323533,163117,-1,-1,118137,-1,883549,41648,-1,24064,463552,-1,-1,-1,113946,-1,-1,678812,-1,435619,658908,-1,-1,-1,195337,203643,483174,-1,-1,568061,-1,835325,-1,8052,176750,2662,324102,-1,581456,272538,724065,-1,-1,51767,-1,-1,-1,727133,-1,-1,-1,289476,284667,829682,461642,-1,-1,921010,407004,-1,352266,879940,138660,998914,943399,803695,759366,-1,-1,-1,341323,458394,441650,618622,-1,-1,292127,191265,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,760210,-1,477966,-1,-1,-1,-1,720142,-1,-1,32001,-1,308659,522517,557577,199191,-1,176286,-1,370963,197168,255603,-1,889251,-1,-1,606216,-1,337103,-1,933754,168733,-1,46121,-1,-1,249189,84450,-1,252756,-1,-1,547469,441543,442417,-1,-1,-1,927795,22667,666333,200377,435805,-1,-1,790229,424899,453316,-1,-1,938806,350071,-1,383736,-1,356705,-1,-1,840368,493492,-1,-1,-1,268089,373697,-1,452537,471235,-1,-1,-1,-1,-1,229427,-1,-1,-1,920375,-1,-1,309818,-1,-1,-1,-1,-1,704535,175261,610945,17769,-1,-1,-1,354541,964993,-1,45253,17315,-1,896364,166765,-1,-1,26801,-1,75075,-1,-1,218055,-1,-1,-1,-1,875505,-1,-1,-1,-1,-1,-1,-1,-1,403514,-1,-1,345878,-1,546887,318556,506495,-1,-1,-1,-1,-1,-1,153122,672622,-1,221629,861975,-1,852747,583818,543992,694689,-1,-1,-1,-1,-1,425340,624623,-1,-1,-1,736406,163754,-1,312261,-1,-1,-1,391733,577856,-1,650896,948143,-1,535346,700516,375648,590545,-1,480136,792483,986059,535772,21635,-1,-1,-1,688092,547435,434263,-1,-1,437882,557257,833940,425835,286934,-1,702920,-1,258901,192234,-1,-1,288916,-1,657960,970016,-1,328884,530970,-1,21720,-1,-1,-1,-1,-1,-1,-1,-1,-1,472641,-1,858713,-1,23804,291777,-1,-1,-1,-1,-1,100108,-1,77162,796058,-1,-1,752865,-1,-1,825576,-1,-1,-1,-1,-1,-1,-1,-1,204521,-1,470089,-1,224523,188459,666652,-1,813679,-1,838667,-1,551005,-1,507786,561423,-1,-1,-1,733331,484507,85824,-1,135601,214002,868533,278042,-1,721320,516487,638835,-1,831205,830965,-1,-1,140993,447568,919039,-1,-1,-1,-1,-1,-1,49332,-1,-1,-1,642592,-1,823192,-1,-1,220578,-1,330066,215119,-1,-1,936777,549289,67722,-1,316221,974546,385399,586496,-1,279557,713019,234239,408092,-1,219206,437357,-1,85932,639913,566169,-1,538247,492195,967046,-1,707578,-1,-1,812239,-1,-1,-1,536705,11547,448143,-1,171147,157907,985864,-1,244892,719089,-1,87976,-1,-1,-1,864444,43825,258669,-1,-1,-1,-1,845450,-1,196377,927477,909005,725946,-1,-1,-1,-1,452289,291614,68459,-1,846891,102271,-1,860764,-1,-1,-1,-1,269231,-1,347943,61251,727429,354361,-1,558411,-1,-1,790173,-1,440434,860955,-1,194635,-1,30288,233767,86462,775915,272787,420688,-1,509653,621981,515770,694217,-1,-1,215999,-1,655426,-1,370146,-1,577482,-1,-1,-1,407175,-1,531657,-1,656212,-1,365487,-1,714513,-1,-1,549541,451900,-1,155000,304360,-1,-1,858709,523052,490757,864615,728286,534662,-1,504768,725409,203958,994135,633969,-1,434396,120091,962735,-1,-1,950466,285693,874247,223091,-1,-1,-1,9391,-1,-1,808922,-1,679983,-1,7673,138638,407367,603901,-1,518513,598475,716424,-1,-1,-1,-1,364385,-1,-1,-1,665232,410968,676203,39987,210473,-1,-1,781094,-1,-1,-1,-1,825418,963453,-1,35990,160302,533683,-1,-1,-1,477931,766879,-1,967320,610025,461123,703118,-1,-1,-1,-1,-1,532521,275017,-1,612034,717311,-1,98535,-1,976894,-1,204041,-1,690362,-1,841283,-1,687510,132240,-1,469754,-1,291251,-1,-1,329079,836906,115794,-1,-1,980536,403849,-1,177062,220673,-1,-1,-1,927692,-1,-1,-1,-1,-1,857765,125877,-1,-1,48921,-1,-1,892911,245932,-1,264267,-1,-1,219811,801665,-1,901764,829351,430247,74192,855147,970302,395404,-1,384810,-1,207277,265216,-1,-1,638542,-1,-1,243287,-1,-1,925778,515710,970695,-1,-1,257412,958660,954554,113209,120203,473552,198402,-1,-1,-1,688697,597008,-1,335350,27086,569359,202433,-1,-1,-1,283527,-1,117929,837201,-1,976845,697349,-1,406705,213597,420517,375721,65717,-1,-1,-1,543190,971127,464607,-1,756916,145970,479731,-1,365914,-1,-1,-1,-1,261691,86891,212121,-1,-1,-1,-1,-1,743523,712172,-1,874483,-1,34092,330568,-1,782086,-1,-1,-1,-1,-1,147908,323666,319267,928609,-1,861015,269170,-1,-1,-1,124618,-1,-1,-1,55572,-1,-1,-1,-1,-1,-1,660030,383372,487974,446254,370715,12522,-1,243303,-1,-1,-1,-1,330524,-1,-1,137544,-1,300662,344004,-1,-1,217338,721363,-1,-1,-1,-1,735949,-1,-1,-1,-1,717610,332891,329810,969457,409313,-1,-1,-1,-1,-1,-1,-1,818222,-1,-1,827383,908982,-1,782810,-1,-1,-1,931393,398150,-1,-1,492127,-1,495649,711211,-1,131448,141014,-1,-1,-1,-1,221666,-1,-1,288816,-1,376084,-1,-1,689435,57670,217920,-1,-1,612896,429965,854269,-1,-1,-1,742859,486390,750198,-1,675135,-1,-1,894491,891682,310077,593639,853247,4514,761658,-1,-1,-1,100048,169950,-1,-1,104601,-1,-1,-1,774113,-1,-1,-1,891542,-1,-1,-1,-1,444966,143153,954838,714298,-1,-1,345842,-1,201709,-1,335020,996491,719705,-1,-1,167811,378942,135243,915322,-1,752765,-1,-1,-1,-1,-1,217583,-1,953026,913855,-1,-1,531304,-1,571373,-1,46074,457753,664117,51780,731144,-1,665299,678411,-1,-1,-1,-1,-1,877914,-1,-1,-1,947040,722534,-1,-1,-1,-1,-1,735975,699336,717213,935172,16875,843700,313346,683922,-1,618292,886852,411966,-1,645553,-1,589823,-1,612631,-1,933713,-1,655182,-1,-1,-1,-1,-1,864442,-1,116517,81468,-1,238553,251239,20643,374440,374473,-1,-1,-1,-1,101960,753558,-1,-1,721055,-1,-1,900574,-1,-1,-1,-1,-1,-1,643106,-1,171335,-1,836409,-1,43564,-1,-1,-1,-1,-1,691738,476266,487716,-1,655794,480395,686166,-1,-1,850158,616817,929012,-1,-1,-1,669803,-1,-1,-1,912988,556493,919064,83341,-1,463143,-1,-1,716994,690623,313630,-1,302892,348847,-1,12272,90471,-1,59758,727725,-1,-1,-1,805565,67639,-1,-1,-1,-1,-1,-1,243798,901191,594409,330788,-1,-1,92835,-1,-1,880337,729708,-1,-1,-1,-1,522893,895160,-1,-1,533991,-1,899782,-1,552572,-1,959331,-1,-1,-1,719989,6864,743835,-1,348725,950509,152289,915181,-1,-1,470212,812001,-1,599090,624707,-1,-1,-1,-1,-1,311698,-1,342024,-1,847918,973407,259683,-1,202666,-1,99276,187819,67844,696842,-1,852788,-1,794584,-1,644659,525220,539506,288656,928998,-1,967893,-1,749078,-1,-1,772679,48179,-1,-1,-1,-1,-1,454018,709143,-1,-1,-1,279045,431876,453843,697886,81968,786858,-1,-1,-1,-1,858240,73667,-1,897327,905617,-1,999369,740664,469252,-1,-1,658583,408668,519934,-1,971798,94740,-1,490695,-1,765240,-1,-1,-1,-1,618627,614593,829805,426537,-1,-1,-1,554106,433675,552707,-1,-1,-1,-1,520967,65583,-1,-1,849599,56769,962419,520020,76249,-1,105980,494265,-1,-1,502272,763934,855542,72268,651230,432691,893908,672228,997997,966993,-1,-1,-1,-1,411982,-1,-1,778717,797418,-1,737322,-1,884450,267380,685786,795164,-1,895714,-1,189608,-1,-1,-1,-1,-1,-1,460249,-1,348193,225812,545474,-1,151477,-1,-1,-1,567186,667214,-1,126992,203070,786383,857282,-1,-1,-1,837277,376968,-1,2139,-1,-1,-1,326996,-1,195488,81319,994754,-1,-1,387537,754043,334370,-1,-1,-1,-1,-1,210790,48691,775582,702339,539077,-1,-1,863695,-1,507663,-1,-1,384877,119288,947403,629541,60475,-1,694340,-1,745744,-1,393567,-1,708336,171050,-1,269759,-1,-1,-1,559790,30581,-1,91384,-1,-1,-1,126327,490675,676622,595410,958516,-1,-1,-1,-1,885845,-1,-1,-1,-1,497109,-1,992807,-1,384916,300836,777423,825428,992586,735659,797528,-1,-1,570841,624449,-1,854754,-1,-1,624333,775311,-1,14442,-1,-1,-1,603861,901215,647150,-1,-1,666283,362853,984992,-1,-1,6755,-1,307435,-1,-1,670967,-1,52848,326011,-1,353336,-1,-1,355161,866808,824793,-1,713814,31283,-1,-1,94764,286013,358634,878939,786604,555833,88599,960411,209626,-1,-1,-1,977794,916942,-1,-1,872837,-1,456778,105737,-1,-1,-1,-1,-1,603097,-1,-1,-1,654036,-1,307584,-1,-1,643397,-1,394509,595247,986169,87041,-1,-1,-1,475667,63997,912422,74586,631474,607449,-1,-1,-1,408916,109614,-1,-1,915694,910040,297154,-1,60634,-1,-1,526932,-1,-1,352075,-1,881884,-1,-1,-1,458390,75128,-1,859927,190071,841055,-1,24994,447736,-1,597436,-1,-1,668822,650599,674238,-1,-1,-1,538024,83345,-1,-1,678081,-1,-1,567069,932684,588167,-1,75893,-1,-1,727910,-1,-1,153459,52631,-1,477489,-1,-1,632015,239159,996850,626868,-1,564944,88611,-1,-1,-1,-1,-1,-1,895256,-1,159246,-1,-1,-1,-1,593610,-1,-1,-1,672382,456278,151115,-1,176563,-1,933626,94623,2577,673139,890430,-1,-1,-1,21923,586717,353615,937246,762364,-1,-1,955999,-1,-1,-1,-1,604746,867292,903209,266674,-1,877480,752960,438885,-1,947083,266877,197294,266849,300439,238136,695903,973035,-1,863579,601294,-1,327258,-1,-1,-1,-1,-1,889547,-1,-1,249172,-1,-1,-1,-1,-1,113038,-1,904426,945421,-1,-1,646307,706230,-1,-1,-1,-1,861525,-1,-1,9021,956211,-1,-1,796311,59280,-1,-1,-1,-1,-1,74413,-1,-1,-1,-1,690402,622646,-1,302158,268015,-1,555256,592497,630358,977123,157209,-1,-1,-1,458449,718546,986738,976272,-1,-1,-1,-1,403157,382688,-1,838395,197731,-1,-1,378484,884932,-1,-1,-1,539340,253102,-1,147018,-1,515328,-1,308291,-1,-1,-1,416884,579142,-1,985730,-1,780204,-1,-1,-1,41894,-1,46635,386612,-1,633825,-1,953440,-1,-1,-1,-1,76651,120463,-1,-1,-1,326643,872672,-1,770438,580651,-1,865085,-1,-1,68170,727567,-1,-1,-1,755230,-1,369831,368569,645457,-1,-1,-1,-1,988498,31411,251738,-1,658365,-1,79802,-1,175655,-1,157219,243892,-1,967974,523315,-1,531165,-1,772038,143046,56412,-1,-1,897873,257608,-1,-1,790511,-1,616979,-1,-1,932001,570825,882659,924545,-1,13647,451095,293516,-1,-1,-1,575554,-1,992087,518091,935744,-1,382845,-1,-1,-1,-1,476279,462042,-1,-1,174696,481039,563853,-1,-1,-1,-1,-1,325217,-1,299375,608218,-1,-1,-1,-1,568492,478269,-1,618311,803313,-1,696082,687408,-1,976319,-1,-1,314758,274786,21216,367633,-1,-1,667334,761630,-1,815049,-1,-1,161209,715815,-1,-1,-1,555825,544829,-1,890811,-1,964077,847644,-1,-1,-1,-1,-1,-1,294501,-1,75566,650882,309722,821332,349041,-1,724152,-1,360236,206186,74862,613842,-1,-1,-1,-1,819570,-1,-1,331367,-1,-1,527088,-1,65203,-1,507557,527313,232248,-1,637369,793728,-1,-1,-1,-1,-1,713133,976729,-1,-1,-1,-1,-1,-1,786538,-1,248419,-1,252170,286332,206649,979965,-1,-1,140756,-1,714361,-1,-1,980315,10776,-1,-1,-1,-1,585181,909639,298280,-1,-1,64609,937385,-1,328308,533186,289951,-1,-1,-1,-1,964991,703104,-1,707735,-1,646866,-1,727052,-1,775634,-1,-1,-1,686204,-1,-1,203199,-1,415886,202237,-1,-1,-1,-1,255252,-1,-1,-1,-1,-1,140316,181848,-1,194618,552317,230947,-1,-1,-1,-1,-1,772933,43058,545725,510462,647396,-1,736643,-1,-1,-1,-1,-1,747688,-1,268959,111577,-1,675338,-1,654963,-1,754294,858195,25902,937167,518656,140780,655000,-1,-1,-1,-1,270093,136924,-1,160801,700974,499671,94924,889641,-1,109448,-1,47482,457291,-1,-1,-1,-1,410191,118477,200201,828312,-1,-1,290346,943424,-1,-1,-1,840014,-1,77143,182668,-1,-1,-1,379875,-1,-1,711918,-1,781814,-1,-1,-1,830858,192307,542315,-1,-1,-1,750257,736175,-1,-1,922154,847826,-1,-1,713957,827658,110914,-1,-1,831445,617351,-1,911467,-1,584794,-1,627344,251299,-1,276690,-1,-1,968181,-1,745785,391040,-1,952233,-1,416169,-1,211445,-1,841565,288825,4213,861088,790440,762841,219855,-1,-1,366427,-1,614643,300874,766708,-1,588063,-1,93310,-1,565629,-1,168945,-1,-1,914419,-1,-1,391681,-1,264810,-1,347360,-1,-1,670706,-1,648280,799645,846495,-1,329746,894363,725767,-1,905112,-1,594671,721576,859360,-1,447293,-1,761185,554372,523572,176175,-1,-1,822997,-1,-1,133728,254836,-1,-1,-1,-1,950920,257795,965090,216253,-1,480554,653906,617763,-1,144243,264326,518509,-1,923806,357745,690156,-1,-1,-1,-1,-1,-1,470936,-1,-1,196909,656180,-1,-1,190305,-1,-1,-1,5525,-1,114403,-1,-1,-1,442801,738068,-1,-1,-1,431124,222770,-1,686677,-1,851781,-1,-1,-1,-1,993676,799847,932946,-1,-1,830419,-1,511658,-1,-1,-1,59260,574833,-1,618470,-1,165240,568775,-1,165555,988316,228847,487093,345221,-1,-1,141045,-1,689759,899321,363335,-1,194429,-1,642039,-1,349375,957775,-1,-1,-1,-1,130224,-1,741989,387232,642960,-1,-1,258010,980541,-1,892352,885433,-1,-1,524045,-1,-1,-1,-1,-1,-1,807040,922532,176260,284524,492464,971555,-1,398064,-1,615339,-1,70015,-1,-1,484940,-1,704396,-1,-1,-1,-1,-1,379749,138720,-1,-1,526076,589678,-1,-1,-1,185969,-1,-1,-1,-1,143211,-1,-1,296738,165272,-1,831650,-1,-1,667813,-1,-1,-1,-1,292620,164860,-1,691435,956763,-1,-1,-1,-1,624962,536493,780628,-1,425814,-1,245234,-1,910316,337735,877445,-1,21702,755144,-1,-1,-1,741452,316198,-1,458624,-1,-1,-1,596192,86367,-1,-1,996536,-1,825417,168351,364066,-1,-1,125795,149200,202583,594495,-1,-1,-1,-1,-1,596646,-1,-1,782254,10532,783460,122691,-1,469221,-1,-1,-1,93093,101368,481936,597112,431730,190199,964488,175941,-1,392675,481194,117217,228068,-1,-1,-1,-1,-1,-1,60915,515685,942852,815026,264855,363931,31009,106556,927614,496799,-1,744061,-1,104430,-1,67396,853290,3429,-1,-1,304264,907654,475516,610654,884619,-1,-1,-1,-1,960542,-1,-1,-1,-1,623300,511374,544374,97234,585652,136825,-1,780057,-1,962611,-1,122915,215376,-1,-1,335325,260092,53505,-1,778482,932434,-1,-1,-1,-1,228541,425112,808347,943003,-1,317530,162349,-1,690971,-1,848956,-1,-1,508788,-1,93917,-1,-1,264696,-1,294930,595925,153560,-1,-1,-1,-1,-1,380060,799760,619325,-1,-1,-1,-1,-1,-1,855512,-1,253949,-1,-1,-1,368276,-1,-1,194018,-1,-1,-1,-1,353221,525950,156868,746405,257584,647723,-1,-1,99911,-1,-1,154590,378786,-1,-1,721206,601817,-1,-1,-1,775077,-1,740051,-1,767797,760888,-1,503835,231109,-1,573279,624773,893369,-1,-1,94441,912426,437135,543046,-1,372089,938886,-1,148076,-1,-1,435694,927288,-1,533742,-1,643985,-1,198786,213220,751390,519742,-1,236538,-1,-1,-1,-1,-1,-1,335701,-1,-1,499500,-1,-1,189736,-1,-1,-1,-1,-1,964318,703127,565580,-1,-1,-1,662280,470476,-1,584025,512739,-1,-1,-1,-1,198131,-1,-1,-1,819321,391138,838501,-1,881713,497250,-1,897407,436535,59018,-1,177373,184613,-1,-1,945550,-1,-1,-1,-1,-1,-1,-1,-1,71795,740161,-1,301309,-1,399680,682365,-1,-1,-1,-1,96056,321401,656970,127575,937519,127064,-1,-1,803836,-1,821405,-1,-1,-1,-1,-1,303779,402529,-1,-1,-1,-1,-1,261234,-1,439694,-1,127467,-1,-1,-1,797384,-1,-1,252614,-1,924602,-1,-1,708142,811912,679716,976561,13096,-1,462040,-1,-1,-1,91991,811138,-1,-1,-1,993395,-1,-1,-1,-1,-1,223655,998656,356908,-1,493740,281390,-1,-1,58429,300165,311064,947152,-1,912359,-1,867786,-1,-1,209232,700141,-1,873701,-1,-1,67563,55980,-1,-1,859497,-1,-1,-1,172049,-1,154328,-1,-1,371163,-1,709580,-1,936026,926770,816039,-1,-1,665213,402088,337788,-1,880615,281831,574422,-1,-1,-1,-1,274317,496496,-1,-1,-1,-1,-1,623873,-1,-1,752082,735218,941765,-1,421739,525821,847467,-1,-1,317960,-1,664596,-1,-1,926806,-1,430396,-1,380399,-1,-1,594337,893593,-1,918485,750106,368286,-1,873472,-1,-1,659931,-1,-1,639639,-1,-1,253893,161518,190397,-1,-1,534684,-1,713724,665313,-1,-1,59061,655947,318989,-1,92780,-1,-1,72334,-1,-1,-1,-1,-1,-1,-1,674023,-1,-1,254027,631476,-1,391518,633880,519538,2049,428386,-1,-1,311866,-1,-1,-1,-1,593228,-1,-1,-1,-1,477549,-1,-1,-1,870362,110366,-1,694028,348210,-1,-1,-1,114212,896791,-1,-1,96436,-1,-1,-1,694521,462607,-1,-1,792567,582115,447229,497743,-1,-1,695276,-1,-1,126945,-1,38777,-1,33277,-1,-1,14400,131501,-1,-1,727220,85069,-1,-1,-1,-1,-1,-1,560009,-1,-1,588964,-1,276375,800393,-1,-1,-1,-1,809410,462968,-1,-1,-1,-1,-1,-1,840907,471920,-1,828318,-1,-1,-1,-1,-1,209709,397261,103191,368161,-1,-1,645749,-1,766354,-1,-1,964918,-1,788871,-1,942823,150536,965450,73929,-1,-1,-1,163986,812985,455026,150488,-1,-1,49714,-1,-1,-1,-1,-1,819830,124365,559285,938635,96364,208934,296952,-1,-1,989407,408310,600914,-1,870901,-1,520210,-1,644944,735221,-1,734311,718193,747379,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,658916,-1,-1,-1,-1,-1,66339,-1,-1,849356,-1,-1,-1,482750,736723,-1,-1,85850,807980,398843,-1,-1,-1,528509,-1,-1,-1,-1,-1,-1,615590,536614,-1,960395,-1,108783,117142,857503,312383,-1,-1,-1,715461,-1,-1,-1,372336,269232,-1,-1,464798,-1,-1,-1,-1,-1,999214,63610,94957,448384,512520,414752,222161,239180,947543,-1,186627,-1,483374,-1,546575,637070,530744,155510,881725,-1,-1,-1,415779,-1,772312,7614,-1,425954,-1,-1,-1,-1,-1,-1,359966,-1,-1,-1,227970,-1,-1,8939,982939,701508,-1,-1,-1,99536,447462,-1,-1,481565,280319,272983,-1,371368,864569,-1,249039,729955,151358,-1,801363,-1,434988,-1,-1,240651,402652,-1,-1,979171,452294,-1,265197,647453,717151,919958,-1,15746,-1,-1,101547,-1,646219,731952,-1,939392,-1,-1,797436,649261,-1,906086,-1,-1,-1,50576,-1,722273,49500,309819,246688,-1,18444,162710,245654,-1,852743,-1,-1,539511,-1,768350,-1,717919,-1,-1,763121,808447,452963,-1,-1,-1,-1,-1,-1,414793,-1,118643,-1,-1,590772,-1,522070,21791,121377,-1,-1,270915,-1,377805,338397,885603,188351,182195,516054,901856,511215,-1,-1,-1,-1,-1,-1,513168,92167,114595,-1,641238,-1,-1,-1,-1,-1,-1,131194,-1,-1,938642,-1,-1,-1,880425,-1,849868,26837,-1,425939,677480,-1,-1,549971,591443,-1,380143,966740,156127,-1,-1,971442,923155,-1,491195,578453,964249,-1,100123,-1,-1,723603,-1,268088,973201,-1,875494,216067,-1,-1,-1,-1,81915,902382,913385,-1,390827,780437,-1,497795,320244,-1,438958,73744,788382,620638,185198,-1,-1,494901,-1,127983,-1,553192,377179,781961,946254,303619,-1,-1,368366,-1,-1,877733,-1,-1,-1,676785,921778,584950,841333,398971,-1,545960,-1,967609,-1,-1,-1,-1,-1,-1,-1,657191,-1,951945,20842,568015,314424,757723,664930,101468,512966,984240,-1,818130,332867,233661,495734,-1,-1,-1,358219,622637,270594,-1,339677,602395,814707,155673,164078,-1,12042,-1,-1,296389,523971,633490,-1,494908,-1,-1,-1,127335,-1,902916,168920,-1,802896,-1,-1,-1,429118,-1,963029,466788,-1,-1,520785,-1,528597,15421,843823,-1,280788,-1,194766,-1,468178,679812,-1,-1,292628,-1,-1,83346,252434,-1,747812,408720,870464,-1,847901,403721,302571,71662,-1,86445,-1,492774,-1,-1,-1,298878,-1,-1,-1,-1,-1,504336,-1,967628,-1,949518,-1,-1,139930,736949,302875,-1,190029,-1,90525,-1,213529,-1,914710,-1,-1,-1,245597,-1,486348,-1,830372,394262,707928,-1,243960,871877,-1,-1,497732,-1,-1,-1,-1,332712,460123,-1,25394,-1,-1,-1,-1,643549,989525,-1,844335,-1,-1,982304,602330,-1,-1,627494,860453,-1,-1,-1,-1,845315,-1,-1,-1,-1,16,-1,-1,-1,43906,286459,523659,-1,123376,43227,-1,-1,947041,-1,-1,788465,-1,-1,-1,797447,142929,-1,338424,763574,621321,-1,-1,-1,-1,937267,-1,-1,-1,80614,761896,354637,-1,562347,-1,933639,-1,-1,-1,454603,658387,390052,-1,-1,-1,889554,-1,352738,679836,-1,510779,979087,213836,89064,-1,-1,147028,91769,547707,-1,-1,185103,180754,-1,869314,-1,-1,-1,-1,-1,907873,-1,-1,375604,154120,-1,799406,-1,-1,-1,225817,862825,-1,384006,-1,388125,-1,178333,-1,623038,368070,-1,-1,-1,-1,-1,57680,966663,-1,507607,889080,284485,-1,364987,65100,173580,-1,-1,-1,-1,434865,646555,-1,963990,122787,246842,932272,365783,974162,-1,-1,-1,-1,-1,846125,618234,719482,771572,-1,-1,-1,123123,385343,164794,-1,-1,925779,-1,-1,142821,-1,-1,270121,-1,-1,-1,-1,-1,-1,-1,437375,-1,824519,-1,221472,162211,-1,405454,506009,939506,-1,530613,777949,967565,401975,493488,-1,-1,-1,386964,323270,6296,-1,-1,-1,-1,581666,-1,658874,-1,739290,683709,600849,-1,788670,-1,-1,724467,-1,307837,-1,144680,669641,-1,-1,-1,59681,-1,740162,-1,971100,657119,-1,-1,-1,158427,16943,669472,875333,775155,140891,-1,-1,76100,227790,-1,761790,614408,920170,-1,287480,360005,-1,-1,612892,-1,391632,362305,-1,243344,-1,268737,-1,-1,-1,424690,458766,330223,-1,-1,-1,912693,-1,853918,660291,716145,-1,718770,211978,-1,452854,-1,425008,985079,-1,742858,-1,-1,998575,-1,-1,706421,-1,-1,-1,126951,-1,10008,204199,-1,91501,538524,427872,-1,-1,306110,661975,-1,-1,-1,-1,-1,34598,831985,599186,-1,976510,-1,-1,-1,-1,-1,-1,-1,313319,425078,-1,962132,911654,-1,-1,-1,83056,-1,888605,362252,480626,-1,986589,-1,-1,-1,-1,-1,-1,593447,-1,-1,551602,668421,-1,-1,910473,-1,-1,-1,-1,-1,890975,-1,-1,-1,690015,-1,-1,914915,-1,980934,-1,-1,-1,-1,492809,546250,780351,-1,-1,11536,-1,-1,-1,882057,-1,-1,-1,-1,472863,624520,-1,762704,241337,810178,-1,-1,-1,572008,712784,58571,760168,-1,787575,877974,-1,769095,758980,-1,553214,-1,635092,-1,814792,-1,-1,800339,864497,-1,427828,-1,-1,-1,-1,-1,-1,295492,477225,946773,471035,-1,-1,177504,76726,-1,998554,-1,-1,-1,-1,-1,-1,-1,-1,168924,-1,723419,12395,-1,31418,-1,849877,469908,806597,-1,760392,-1,673035,-1,-1,-1,-1,352,-1,770667,-1,-1,853851,100894,80526,826515,25687,794671,284489,-1,-1,145353,603680,-1,-1,-1,371848,316423,860358,874323,-1,-1,-1,535738,-1,946943,-1,279065,-1,369672,863453,-1,-1,867012,866556,-1,611034,-1,-1,-1,-1,-1,-1,-1,-1,455738,-1,17596,711530,197768,-1,752019,-1,-1,76450,31386,-1,-1,-1,-1,271700,686295,10145,-1,-1,883305,-1,-1,-1,901142,-1,-1,-1,149143,-1,-1,468716,-1,272759,97852,307899,-1,376546,480400,-1,-1,403086,-1,-1,-1,899989,-1,314820,-1,-1,-1,551941,795172,-1,-1,401645,-1,787245,67283,-1,607750,-1,-1,-1,-1,-1,119872,-1,-1,513703,-1,831822,351023,409410,946230,839970,646160,-1,-1,574392,693863,686489,956683,624972,-1,548184,-1,-1,36793,627676,673927,-1,935520,678769,311541,-1,-1,968778,-1,772881,705607,807122,882580,862737,-1,84268,-1,-1,52179,689109,-1,909006,-1,-1,-1,-1,-1,719221,-1,919528,819738,-1,-1,792082,-1,-1,-1,-1,-1,-1,-1,-1,657219,-1,997956,-1,-1,666202,-1,-1,-1,-1,-1,-1,-1,-1,-1,974165,-1,696319,-1,-1,137403,827029,161230,621137,-1,-1,974553,535818,869336,339603,-1,-1,412614,191271,-1,-1,-1,-1,-1,-1,-1,-1,317287,-1,-1,28988,405201,882771,196542,961116,-1,-1,341967,-1,515793,85296,825410,-1,801644,855966,-1,966167,282009,-1,-1,155006,-1,-1,-1,46134,228793,-1,-1,-1,-1,303570,-1,758504,20618,-1,817440,362862,-1,-1,762966,918920,-1,-1,-1,766883,-1,-1,297075,-1,168886,-1,-1,813278,234075,703107,-1,-1,-1,377710,683338,104282,811801,-1,-1,-1,-1,695083,-1,-1,-1,55096,-1,604611,-1,840779,4595,380852,-1,846282,582894,416206,932688,215871,-1,538380,458448,368580,-1,568365,-1,589488,-1,-1,-1,-1,54575,69188,-1,-1,-1,-1,550874,-1,-1,245690,-1,783292,179737,841004,512026,-1,466440,631673,67591,-1,-1,257227,981922,787558,345114,-1,-1,348821,177457,-1,439754,-1,-1,-1,577168,150045,-1,-1,49778,-1,-1,-1,938317,-1,-1,555338,-1,727520,879747,-1,-1,459241,-1,-1,965817,-1,-1,731879,338725,382509,-1,600812,918370,-1,-1,449269,-1,-1,-1,-1,-1,767558,112488,495003,-1,653364,149692,-1,-1,405448,745348,-1,341150,125859,-1,128963,239912,279726,-1,-1,370825,176822,-1,-1,890689,-1,-1,966269,364097,326805,755198,538445,412648,282765,910921,826871,-1,-1,-1,940492,-1,-1,606698,391501,-1,534830,851520,-1,-1,-1,853571,-1,-1,791219,-1,452324,300307,893436,-1,641852,265351,-1,-1,-1,289061,-1,304675,-1,69835,-1,913405,-1,763984,-1,-1,597118,781451,739012,919113,889120,977102,669302,916339,-1,-1,477236,273099,-1,494477,-1,235007,-1,-1,-1,811179,-1,692803,948294,-1,121395,-1,-1,-1,436119,-1,-1,-1,110746,403804,-1,-1,-1,21849,-1,988067,-1,-1,-1,576434,-1,827060,570901,850128,159851,888012,510106,323490,-1,-1,-1,-1,320029,27242,-1,340770,351788,593904,-1,-1,-1,153746,-1,381289,847574,805791,5415,-1,-1,-1,-1,513983,-1,-1,-1,48849,-1,144946,-1,-1,-1,-1,293135,-1,-1,-1,743843,39311,-1,709383,-1,398159,752451,572714,179075,15123,-1,326999,267233,-1,-1,528495,-1,-1,420385,714417,-1,341776,462288,-1,-1,230769,382511,-1,-1,-1,-1,-1,-1,-1,217287,198638,194905,650986,829415,-1,-1,-1,-1,486457,786678,547285,-1,-1,275119,-1,-1,268049,230238,488157,-1,-1,-1,972378,997854,542788,-1,-1,-1,-1,542712,643055,-1,480838,927733,-1,166066,514285,-1,97122,-1,-1,-1,-1,578000,-1,-1,472108,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,976273,-1,-1,-1,-1,-1,830510,34745,297078,932047,241511,-1,377790,-1,215109,-1,331376,-1,100334,297722,-1,-1,-1,-1,305635,720516,-1,639842,-1,626955,207908,790097,-1,102330,-1,-1,944502,591864,-1,868932,-1,628115,781204,896381,915300,850913,128260,269158,50972,-1,-1,665794,-1,929610,-1,383663,385325,-1,-1,203863,-1,779597,-1,-1,-1,580029,-1,-1,527807,-1,562344,792983,548700,-1,-1,876649,-1,-1,994767,-1,-1,29924,15097,-1,-1,-1,-1,39819,842729,962541,965377,261974,-1,-1,237250,-1,-1,-1,-1,412700,920464,-1,584656,-1,-1,556214,543922,-1,-1,-1,-1,981011,-1,-1,-1,761736,-1,883962,66277,52198,-1,-1,-1,-1,309672,-1,-1,-1,911897,-1,29443,-1,-1,211850,497791,349546,291861,470265,-1,-1,-1,-1,371205,79138,631068,-1,459039,168623,217085,-1,6153,-1,-1,-1,-1,582164,-1,620408,-1,-1,-1,746602,-1,434388,-1,-1,-1,-1,630848,-1,621881,-1,189215,370445,-1,686759,381688,-1,-1,-1,973977,339454,143640,-1,704414,-1,-1,-1,-1,63471,250177,-1,975719,272597,-1,-1,215280,303372,-1,-1,-1,170311,444339,-1,801879,22179,370463,873184,-1,-1,-1,-1,93360,317981,594179,537262,957856,-1,854464,617706,760348,-1,-1,-1,965577,892570,-1,-1,-1,5219,726829,289933,-1,198223,-1,-1,-1,690746,-1,-1,-1,226876,650855,528784,53502,-1,679863,149614,-1,-1,655139,-1,363528,-1,798330,152665,629961,323008,-1,780724,350406,820983,-1,387291,-1,717169,280518,123343,-1,-1,8272,-1,780148,578430,-1,-1,-1,-1,391958,844523,-1,-1,-1,-1,911609,-1,931618,-1,-1,-1,-1,131895,807696,760236,395550,118644,-1,172733,29379,879724,-1,-1,-1,-1,-1,-1,769637,-1,391873,760871,140978,-1,370464,-1,-1,-1,-1,-1,440646,-1,537309,-1,-1,63721,327391,686675,-1,-1,631691,591667,418979,-1,-1,-1,-1,-1,848520,-1,-1,-1,580699,-1,792370,-1,834476,-1,-1,645780,-1,452150,793236,81686,152476,569814,-1,829344,764637,-1,713089,-1,-1,823959,-1,-1,-1,384529,-1,319740,-1,-1,-1,-1,-1,-1,974580,-1,761587,-1,-1,27511,-1,489164,963190,978345,-1,-1,-1,-1,-1,308858,303132,270207,154349,97472,343934,601707,502452,372795,-1,-1,-1,-1,68912,-1,999795,-1,666084,359189,572947,405074,243448,-1,-1,517470,-1,-1,-1,-1,-1,77341,970174,200126,-1,-1,362046,-1,-1,-1,692433,-1,446242,-1,-1,-1,381932,-1,928828,-1,-1,-1,-1,396524,974795,-1,501539,-1,602676,-1,552652,-1,439507,-1,880660,260780,590298,-1,297340,-1,863009,734047,775410,-1,381457,973710,392908,694780,-1,-1,333381,-1,255066,-1,110259,-1,192701,-1,-1,71868,708305,-1,458180,-1,928607,-1,-1,-1,-1,-1,-1,-1,40683,-1,-1,350178,307418,798660,119143,204780,-1,-1,-1,575675,-1,332435,140934,-1,979825,312939,-1,288785,-1,-1,284581,974812,188980,966579,-1,134272,536634,988415,488318,-1,-1,287843,-1,158142,-1,-1,-1,804671,584408,390245,-1,-1,-1,-1,490874,-1,-1,274598,916601,-1,-1,-1,-1,767805,-1,-1,616685,-1,-1,-1,967820,-1,-1,62158,-1,-1,591275,-1,791337,221220,-1,340569,643240,-1,-1,-1,-1,-1,457614,-1,827582,695540,-1,854264,912623,216389,-1,200070,48110,537014,912874,-1,711027,613002,783195,117284,-1,619118,-1,73623,-1,-1,825373,528544,518926,183899,157668,-1,103281,-1,938250,608611,-1,-1,164991,907012,-1,26962,993463,-1,761655,-1,-1,-1,549638,-1,-1,-1,-1,-1,327446,664541,-1,898704,476914,180520,-1,-1,457292,274672,-1,-1,-1,846961,-1,389316,-1,-1,-1,-1,271255,-1,-1,-1,-1,134403,-1,537650,-1,899100,-1,53117,799314,588480,409537,683838,-1,466520,784797,191078,787517,557785,-1,-1,-1,-1,214555,-1,52977,137820,224167,989029,-1,852860,-1,-1,-1,802429,-1,151456,130219,926363,925033,-1,429106,-1,-1,420528,-1,-1,896127,-1,167607,-1,-1,-1,345803,-1,-1,-1,491355,-1,-1,75748,-1,-1,-1,16607,-1,-1,543064,-1,-1,-1,-1,15177,306258,346599,-1,-1,-1,591247,428606,-1,-1,872285,-1,664230,-1,120556,-1,706717,291747,-1,-1,-1,707572,211791,381768,-1,-1,508431,627113,56462,887629,-1,-1,-1,-1,46908,954980,-1,304444,-1,670213,-1,-1,-1,140979,-1,59468,-1,98825,-1,-1,312381,273694,212489,343512,17329,-1,-1,731265,-1,25961,959332,-1,-1,60292,-1,-1,876764,-1,50863,14249,221573,-1,-1,-1,288085,-1,-1,-1,-1,507551,367588,-1,759830,-1,516799,766834,-1,273344,-1,162626,962831,-1,631323,86187,-1,-1,-1,191575,-1,674553,-1,612014,259993,917091,-1,-1,-1,687974,-1,-1,-1,206423,238477,791276,-1,-1,308816,-1,813340,-1,136079,-1,-1,-1,-1,215347,-1,-1,257616,333588,886959,225508,920527,747727,-1,241991,-1,928387,907796,172873,341561,-1,-1,-1,120660,-1,-1,790763,341964,-1,991355,-1,-1,-1,-1,517025,318355,-1,-1,-1,-1,432162,17851,331429,554573,-1,351636,-1,-1,-1,-1,-1,862501,-1,-1,565818,-1,-1,48562,99938,108538,-1,-1,438927,-1,-1,-1,-1,961490,33220,-1,-1,-1,-1,978079,355214,-1,-1,-1,-1,-1,648346,-1,-1,73901,709046,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,327310,110667,963024,826167,880224,-1,-1,967055,-1,175307,-1,-1,-1,844761,655656,-1,83336,-1,137085,-1,-1,-1,569112,380248,-1,819314,-1,422172,784042,903663,-1,-1,-1,-1,-1,-1,-1,535314,-1,-1,954729,-1,656908,627020,-1,-1,-1,924308,543236,-1,786721,279597,992292,-1,606656,775436,-1,-1,-1,-1,884571,973717,-1,365714,-1,-1,-1,54667,663814,756674,112985,653628,-1,-1,162156,-1,-1,-1,369412,864027,362167,-1,429769,-1,-1,448646,-1,858001,486222,965083,-1,-1,30363,620053,252485,178006,-1,546750,-1,-1,-1,-1,410305,390516,-1,534223,-1,218573,-1,583555,-1,918668,262322,-1,429022,657575,-1,894142,944298,695730,576968,501684,-1,-1,-1,-1,-1,-1,450085,601544,-1,434979,-1,-1,963022,529430,876724,-1,381097,-1,499533,56993,-1,779323,-1,-1,782619,467644,-1,-1,465376,-1,727712,225556,-1,-1,603471,75934,-1,930912,-1,341391,844096,-1,-1,-1,590204,-1,468555,-1,-1,67144,-1,769762,-1,876782,-1,-1,265240,-1,-1,-1,-1,360637,329696,379392,991258,118865,-1,-1,-1,768455,-1,30098,-1,-1,-1,-1,-1,-1,-1,339290,802717,618775,799060,-1,-1,-1,751465,946139,151606,-1,823072,686786,173631,975935,542774,863294,-1,536522,-1,-1,964426,-1,-1,-1,746796,-1,-1,726807,-1,-1,540247,250424,-1,-1,348997,508971,888674,-1,-1,768692,454253,-1,273268,707072,-1,390825,536568,-1,-1,454259,37148,190587,475447,395572,979259,315692,954112,-1,-1,295251,462831,-1,-1,62306,-1,-1,622889,205760,586396,951237,822198,145753,555698,158348,-1,-1,251101,-1,538789,-1,176433,-1,-1,-1,85923,102421,592130,975850,-1,525239,-1,-1,-1,535988,-1,720470,592325,-1,-1,574890,-1,-1,41079,559120,541170,634563,-1,647858,579214,-1,-1,666011,481182,-1,-1,-1,-1,294990,845305,658976,-1,411236,488795,-1,-1,-1,-1,257121,385544,667696,-1,235249,75525,-1,350480,-1,133254,858400,-1,-1,171584,722981,955279,484369,-1,132261,-1,114373,-1,337229,-1,-1,-1,846430,-1,-1,355538,716809,708979,-1,997839,-1,609396,70452,397594,-1,565799,121219,-1,493457,651020,458112,-1,863572,-1,689836,347216,-1,-1,-1,425095,254638,563084,249557,505410,-1,-1,276938,-1,211236,362878,-1,677035,-1,940891,733372,247626,904595,-1,528936,699393,-1,190337,20758,-1,-1,-1,516443,-1,-1,-1,-1,-1,30585,-1,441374,368918,-1,-1,-1,459635,155644,867123,338275,-1,-1,-1,-1,-1,-1,720936,970171,-1,-1,337833,692511,372001,269880,988121,-1,955881,724330,432736,203603,-1,241279,242154,-1,-1,263677,-1,42454,-1,-1,747302,-1,-1,875642,461750,972818,932846,151759,-1,-1,-1,768970,-1,-1,-1,664577,-1,-1,960215,898694,97475,397734,-1,-1,-1,990237,958623,307194,432671,517149,980898,306157,889105,-1,578781,544091,-1,437433,-1,-1,538013,-1,-1,-1,4144,569306,-1,916734,-1,157633,761537,998000,-1,365693,386203,-1,-1,-1,304205,144833,271243,347195,-1,-1,-1,98732,-1,150672,-1,-1,-1,536230,-1,859042,789276,-1,-1,-1,562894,675462,-1,-1,457195,577244,463310,-1,355649,776838,-1,784384,578242,-1,-1,732572,200486,508439,-1,526980,548570,416052,-1,-1,-1,896097,136270,-1,-1,393629,-1,456349,-1,255835,735441,-1,-1,64246,-1,413624,666839,114396,115618,-1,634604,-1,-1,926865,884692,-1,161310,-1,477057,-1,-1,307173,793633,348107,888782,724596,671098,689709,144926,537203,-1,526314,-1,916465,-1,-1,88841,79540,-1,-1,242544,749405,167787,-1,-1,-1,-1,-1,502602,-1,175500,465109,-1,656000,-1,-1,-1,-1,-1,-1,492943,174962,123416,-1,598328,-1,627584,-1,-1,693423,873668,189264,-1,592470,-1,-1,-1,890052,-1,489280,739988,-1,-1,22697,-1,523695,792472,-1,-1,955436,-1,-1,-1,108583,574005,-1,-1,-1,669868,518829,-1,453474,-1,-1,72458,-1,85002,717907,704418,-1,508763,-1,944051,158927,823531,-1,-1,-1,791834,798345,-1,958810,214142,75987,-1,-1,493042,-1,-1,545858,-1,581375,-1,28773,-1,-1,426999,47197,-1,206919,35847,277931,-1,438807,766180,-1,533483,-1,-1,89376,-1,-1,214247,495398,-1,-1,954257,-1,557372,665483,-1,542130,-1,870417,202528,-1,-1,142704,-1,-1,-1,816914,-1,710554,275254,-1,-1,592028,-1,16322,816535,-1,487326,564394,763418,872984,-1,-1,221746,-1,199351,-1,-1,-1,-1,977920,119035,605556,-1,-1,963378,739059,981918,-1,279099,535908,-1,-1,285875,-1,975022,-1,90158,-1,-1,856701,467612,653132,34913,-1,-1,-1,-1,287670,-1,-1,-1,-1,-1,541292,628485,-1,774457,-1,920204,648236,-1,-1,-1,-1,-1,-1,-1,-1,980206,635036,-1,637732,998949,600312,-1,109268,-1,-1,-1,-1,989093,-1,927531,550239,-1,956578,506559,237410,999198,43677,-1,234937,51445,-1,-1,-1,-1,-1,233982,-1,-1,-1,473667,-1,981823,782947,392692,286447,282730,-1,-1,972475,332153,816764,420610,364980,187867,627953,-1,621341,225263,-1,319570,358499,-1,-1,639271,16718,-1,-1,742330,-1,-1,-1,912778,505833,80409,807569,-1,99124,-1,-1,-1,-1,-1,-1,700398,24348,-1,540982,-1,329173,715684,106339,667875,542614,-1,-1,738907,112607,594892,-1,-1,-1,-1,-1,932081,518645,-1,463071,-1,550565,861001,-1,438139,-1,-1,-1,775507,959999,-1,627126,-1,-1,-1,620160,-1,-1,903361,-1,540063,285570,654333,377405,-1,521442,436855,-1,647811,-1,258114,-1,27085,902792,360856,104931,-1,462252,176805,-1,-1,974057,934927,-1,661088,466146,249577,535852,774489,955530,-1,969255,458427,561122,831913,-1,824906,247052,-1,-1,660127,-1,-1,-1,455609,517560,67727,-1,-1,148927,-1,253000,692928,-1,648202,593061,432604,-1,-1,742821,599922,52546,-1,-1,-1,-1,946438,429717,550977,-1,-1,-1,-1,726134,389246,-1,-1,-1,-1,630714,-1,860262,415304,-1,-1,-1,125546,625531,-1,-1,-1,4336,-1,273587,860356,932898,-1,-1,578689,610345,-1,236000,-1,361897,988437,15257,-1,-1,-1,259968,277608,785151,296180,204710,-1,-1,340006,266041,-1,-1,-1,86710,839000,-1,-1,800089,885493,225838,-1,-1,32248,-1,247200,844158,743520,898398,-1,112079,793873,-1,-1,-1,-1,-1,-1,-1,-1,-1,669564,890605,301558,40631,350426,992114,43232,670901,126404,540032,330054,28452,-1,-1,743456,692227,-1,-1,831457,-1,331616,550636,-1,-1,-1,-1,-1,804458,-1,-1,603642,632667,-1,491961,458249,536244,557977,-1,-1,886480,-1,-1,719577,-1,197479,-1,-1,770789,363410,868738,847450,548419,-1,-1,-1,-1,-1,349770,-1,787658,926674,495225,590638,-1,277776,-1,783002,726515,-1,196261,-1,-1,460958,857247,560721,-1,136356,-1,934977,-1,-1,-1,384401,-1,558546,388485,-1,546144,-1,-1,582222,-1,798057,-1,-1,48017,-1,225012,-1,-1,-1,-1,-1,147000,-1,962776,919317,-1,624393,627804,497255,705092,305825,-1,-1,540336,485975,-1,669548,101884,279232,890219,-1,-1,-1,658427,696550,-1,-1,-1,954573,-1,-1,-1,236953,493498,-1,-1,397462,79888,-1,-1,502869,963683,15546,682689,-1,964323,-1,330793,689072,889886,247604,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,106053,777566,30077,-1,754154,883936,152430,26963,-1,-1,-1,-1,446753,492822,-1,436079,379570,-1,-1,185983,-1,905226,458904,-1,754370,-1,768321,827849,-1,-1,-1,389995,873524,-1,596852,-1,363642,-1,-1,182357,950062,399152,617042,257416,-1,387364,229716,-1,-1,848162,704365,-1,-1,-1,-1,-1,401235,310041,770845,477670,-1,-1,-1,-1,-1,-1,814594,130470,655035,202082,-1,936339,429638,-1,-1,184575,-1,-1,-1,512374,-1,-1,-1,95568,136530,-1,126647,-1,120377,988009,338184,230724,34772,-1,119096,654125,-1,403486,-1,945641,-1,-1,-1,989824,-1,-1,-1,859324,900337,300097,133576,-1,829612,-1,-1,158968,937140,-1,307781,977034,-1,-1,773623,437185,-1,88302,440420,-1,-1,-1,-1,203341,-1,-1,-1,548878,-1,531680,-1,-1,-1,-1,-1,-1,797758,452233,-1,-1,865971,-1,91253,-1,805261,854049,635275,-1,545994,191227,-1,-1,-1,467835,263332,11558,767305,-1,-1,758372,581340,-1,-1,-1,-1,-1,-1,183658,-1,684950,859762,799883,420393,-1,605786,-1,312540,-1,783419,363102,-1,499418,-1,394226,434969,496355,712501,-1,152489,940545,865442,537718,-1,-1,-1,233119,-1,746857,-1,-1,-1,519406,-1,698198,-1,-1,440950,-1,326090,429859,72882,401875,229676,-1,-1,470585,271503,-1,-1,744033,-1,-1,-1,-1,-1,-1,818726,-1,-1,-1,-1,52669,-1,-1,757783,-1,-1,146429,946999,656966,937713,555220,-1,561815,977581,-1,696991,-1,849083,-1,87973,-1,-1,917426,262829,387160,318736,-1,-1,-1,786228,-1,-1,449727,757690,175165,-1,-1,-1,120249,-1,-1,881892,615459,-1,-1,-1,334230,408252,-1,350533,-1,857417,259754,-1,-1,-1,534071,-1,-1,-1,-1,-1,-1,-1,-1,-1,172374,-1,599475,414159,56685,-1,66215,-1,885633,798763,-1,853793,794265,-1,142217,899150,911827,-1,759543,225136,-1,823427,-1,125259,690826,-1,612002,-1,834631,749899,419628,-1,484655,404732,461172,975677,-1,720064,466629,359578,-1,-1,895074,-1,921463,886684,-1,-1,489964,481686,-1,-1,126322,329790,-1,476606,129154,815152,11058,517181,-1,-1,-1,676897,-1,-1,-1,675912,959494,505734,725039,806683,402179,-1,-1,-1,860174,-1,69684,472182,50921,847498,-1,697340,-1,687095,962747,357688,611502,-1,49733,812994,488977,361818,241493,873009,-1,-1,487669,720620,-1,-1,-1,731462,-1,191316,218218,321355,-1,363686,991677,-1,311358,171158,771170,324535,421298,-1,-1,-1,758892,-1,-1,-1,-1,747033,-1,-1,-1,-1,-1,247054,-1,878210,636288,-1,-1,666535,306327,-1,594219,-1,-1,-1,-1,640390,526766,-1,-1,636586,679885,211379,-1,521856,780839,-1,362649,-1,127492,102031,335181,650448,-1,686580,-1,312147,-1,184308,-1,-1,481384,981504,116462,507530,-1,544014,-1,819822,-1,-1,-1,-1,580576,-1,192688,-1,-1,95332,20263,-1,552053,-1,386898,404355,660963,-1,785769,490018,-1,-1,-1,-1,748899,-1,504812,737311,-1,409138,-1,-1,705125,238070,3032,-1,-1,522084,548202,388921,292716,-1,919886,-1,-1,380378,661178,577424,-1,840966,999623,-1,-1,738838,997460,-1,280646,674143,-1,857839,797939,850345,27541,746195,-1,8101,589797,-1,970430,-1,-1,-1,400735,-1,492217,-1,982176,507726,927583,629510,990280,505644,849542,-1,754876,-1,-1,772299,872343,602111,377552,-1,-1,-1,-1,268931,546882,448664,-1,-1,-1,647773,22747,-1,-1,-1,263902,88225,-1,-1,814219,177626,187894,72575,-1,115804,-1,761399,829286,995623,971863,780795,63420,-1,870674,43284,-1,263675,638712,988443,-1,-1,423755,-1,-1,616707,-1,701898,252294,801367,-1,-1,-1,251171,878373,405152,-1,-1,40563,-1,699106,-1,-1,-1,22737,-1,-1,-1,-1,782539,509330,306153,-1,-1,449917,567997,-1,-1,-1,97757,196486,666786,-1,4143,-1,-1,36770,941408,512314,61425,-1,-1,570559,-1,83251,-1,311687,-1,-1,769459,587655,-1,624526,-1,-1,-1,881879,-1,-1,-1,173214,544335,-1,-1,-1,-1,309364,522974,339209,-1,630510,-1,-1,-1,579531,379179,-1,129390,426937,-1,744487,-1,-1,-1,521331,246698,795168,649696,262105,987233,199086,-1,1721,904363,187474,-1,621619,830477,-1,534482,636255,-1,-1,973633,385646,274766,319451,950667,-1,559855,-1,708629,-1,281792,-1,-1,-1,-1,-1,-1,671263,-1,-1,-1,776429,430286,-1,-1,372015,397589,192166,425142,607657,-1,-1,967062,829382,-1,-1,-1,723494,109387,-1,888658,195633,605186,-1,-1,-1,99017,610850,-1,-1,285733,-1,169632,10543,56098,-1,-1,955784,985695,924259,-1,-1,-1,-1,260891,37204,222934,-1,-1,919045,-1,922235,-1,181025,-1,453870,-1,227934,352669,658544,795920,396487,298873,919354,-1,129111,-1,-1,-1,736730,-1,565730,531903,77236,332696,-1,91528,-1,-1,-1,512009,-1,-1,-1,-1,115562,-1,-1,276347,571506,124672,-1,491732,-1,516477,263120,296226,-1,770481,770855,-1,-1,923064,183989,36266,-1,139426,-1,-1,24005,14332,453335,868919,-1,-1,568217,842617,-1,118151,745959,296789,63702,-1,717772,-1,-1,188685,872570,-1,332786,-1,-1,913415,-1,-1,755220,-1,-1,210972,-1,-1,956757,-1,-1,960747,410931,987982,-1,-1,544888,78073,-1,294619,-1,-1,282357,-1,549593,-1,919678,921516,-1,-1,306271,-1,-1,650966,740152,450356,242387,113540,288795,-1,-1,66953,537605,119064,261367,862020,-1,-1,-1,220263,-1,-1,410747,-1,70383,-1,-1,-1,-1,413975,424880,-1,769417,325816,-1,-1,-1,-1,491764,-1,375962,352413,-1,324795,494190,-1,-1,969356,138385,427242,-1,-1,-1,-1,820484,-1,-1,-1,-1,-1,-1,717361,796499,222912,237914,395093,124698,-1,831076,539901,-1,85881,931497,-1,-1,-1,-1,893097,-1,511857,319305,205542,247869,-1,857100,-1,470135,-1,-1,272911,-1,818266,746858,-1,821333,489215,-1,-1,-1,-1,-1,-1,311728,-1,588124,-1,-1,191912,363661,-1,-1,-1,593352,-1,398745,-1,674874,-1,408334,-1,795694,938173,47512,-1,-1,-1,809246,994760,-1,706512,413378,820059,-1,940948,13298,-1,-1,-1,-1,406366,-1,-1,64391,328851,-1,204465,-1,-1,-1,934080,296250,-1,368482,-1,-1,-1,-1,665417,76818,-1,792865,-1,-1,5431,-1,-1,-1,-1,572652,-1,197630,-1,411197,-1,-1,702774,-1,-1,398456,605664,-1,82815,-1,457336,-1,-1,53480,354375,302664,370813,-1,-1,318379,873925,214427,985123,123764,-1,880309,317465,165970,306360,929701,914813,-1,-1,989781,157278,934521,-1,279561,-1,803294,569270,831580,369133,8093,-1,898685,-1,169820,383205,960580,305375,493308,-1,-1,-1,102700,-1,-1,310489,406946,172799,593836,-1,470214,-1,207627,-1,-1,-1,420350,855829,-1,-1,-1,166459,-1,890206,-1,-1,932579,-1,931251,544936,-1,-1,-1,349929,556234,610875,-1,766451,-1,400647,-1,-1,-1,841208,-1,-1,-1,115457,-1,-1,274755,-1,14779,935519,254224,-1,997578,-1,878425,-1,586540,728968,321691,848423,-1,254740,-1,-1,-1,-1,958717,-1,565595,205088,480293,-1,538475,555700,777854,-1,-1,816793,324478,-1,280749,-1,-1,-1,207023,569381,176339,745990,-1,-1,332305,-1,-1,-1,803678,798839,-1,-1,15990,943492,-1,712606,-1,650514,521948,182300,-1,615450,-1,936665,-1,-1,-1,-1,-1,-1,814296,-1,40487,739812,890745,786440,767994,-1,583234,-1,-1,-1,-1,-1,538657,-1,574648,-1,728903,-1,-1,140065,430578,-1,944083,217731,-1,107210,-1,-1,624481,629054,190880,-1,578418,-1,379874,414468,370303,-1,56621,-1,474688,829685,-1,-1,-1,-1,-1,668853,-1,-1,353940,478949,564773,-1,-1,-1,-1,-1,759904,-1,748341,-1,-1,939286,435781,-1,-1,608744,-1,-1,831997,-1,250266,-1,891714,-1,211220,19977,-1,651204,-1,57345,-1,370791,860116,-1,-1,-1,-1,-1,802316,-1,-1,-1,729705,737730,-1,-1,621518,680485,-1,-1,-1,-1,614951,-1,644430,420642,-1,-1,-1,561468,-1,-1,503285,787546,810841,717291,711415,947332,521288,-1,501547,-1,766972,773583,638909,-1,-1,-1,938043,-1,-1,957710,-1,-1,202023,-1,288700,-1,181125,274127,-1,485885,701912,-1,448072,-1,166322,-1,-1,122760,411394,-1,-1,867163,718495,343068,-1,275186,21070,-1,-1,-1,504086,-1,888627,-1,944367,556038,853396,-1,-1,584474,-1,-1,-1,-1,-1,-1,494308,902987,-1,-1,-1,-1,-1,774527,890513,-1,333651,709065,-1,-1,89022,310354,-1,554555,-1,85178,406505,-1,408292,-1,-1,-1,-1,361681,694394,-1,-1,-1,923873,964441,699322,863065,297205,-1,-1,970807,-1,885064,566588,-1,922119,-1,-1,900423,346701,970954,-1,82370,324516,743011,153289,-1,-1,18968,-1,164328,96523,-1,-1,522932,747565,26532,-1,599344,868371,-1,-1,-1,913315,882871,136135,-1,-1,-1,-1,-1,876923,-1,-1,-1,-1,350502,-1,977972,189808,-1,730126,253278,854121,-1,826346,508829,-1,208281,-1,-1,761758,672358,-1,-1,642113,264677,806620,22700,-1,-1,779462,331512,-1,-1,-1,-1,428228,875730,-1,675667,424292,-1,-1,705388,42728,48321,848223,-1,871193,-1,-1,403614,636988,-1,-1,37800,-1,983540,174878,-1,-1,196500,264383,37298,-1,-1,-1,-1,-1,101705,-1,923575,-1,412175,-1,-1,313506,201799,73123,374069,46308,479997,363876,185765,79530,63584,424167,39681,-1,920900,13377,-1,-1,362677,-1,20223,596713,-1,-1,581476,-1,347581,48558,587154,528717,368077,-1,147888,500222,-1,428908,-1,488995,640779,316790,109709,692981,-1,-1,455187,807875,784057,-1,-1,-1,-1,-1,9348,-1,-1,-1,-1,-1,929501,-1,156609,659251,118510,927168,-1,-1,19323,815788,-1,-1,-1,888486,74516,65905,-1,-1,-1,189070,837949,262699,321094,-1,167881,975604,-1,-1,-1,190577,665629,81492,830872,248084,270027,683697,-1,-1,972613,488502,540176,-1,-1,-1,757480,371490,860169,440221,-1,-1,-1,-1,464974,-1,-1,618633,-1,42152,501145,-1,-1,166345,-1,921379,909266,-1,306016,812225,687702,152146,866976,-1,923246,587042,-1,55201,-1,-1,-1,806375,-1,286307,-1,983810,-1,-1,-1,-1,-1,550685,-1,517655,-1,141174,-1,766144,-1,-1,-1,408806,363318,-1,579626,-1,-1,152225,657645,-1,-1,-1,-1,13197,-1,-1,-1,-1,848544,728003,181497,-1,527788,-1,-1,279340,-1,848557,174347,-1,877840,191552,286745,-1,-1,-1,-1,543469,-1,444579,397616,-1,645493,557510,172326,-1,-1,244957,-1,715418,932121,-1,494192,939567,549112,381551,-1,996610,826605,-1,296187,156102,-1,-1,-1,809948,-1,12736,64403,81783,489457,174203,325100,-1,893549,-1,345400,-1,389407,26416,-1,811888,826756,-1,-1,-1,-1,582698,723622,661484,-1,377045,516851,-1,-1,-1,319318,132927,-1,38475,338845,-1,165283,709378,-1,-1,-1,844608,-1,-1,272103,-1,921645,-1,-1,-1,177146,637341,951923,921721,-1,880622,-1,-1,-1,-1,-1,-1,-1,-1,413602,954531,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,308020,-1,-1,590626,-1,755209,-1,497494,-1,960207,287237,149433,-1,357746,334431,344541,817128,157778,863458,594019,-1,913926,-1,826821,-1,179784,-1,-1,-1,-1,3909,-1,473825,-1,624884,-1,-1,481475,-1,-1,792695,679006,864147,159590,-1,687525,491361,-1,-1,741048,463469,955868,650754,-1,-1,-1,-1,361041,905067,-1,-1,-1,-1,506171,232577,-1,623211,517401,-1,344003,729131,-1,318267,906426,-1,171711,893033,788510,-1,164498,-1,-1,-1,72878,740538,1265,74161,-1,909466,-1,874763,569565,-1,790802,308737,-1,-1,451615,816609,-1,883863,-1,-1,641366,-1,-1,-1,275208,-1,580243,96348,-1,8938,-1,844201,167058,-1,839809,-1,-1,-1,604300,-1,-1,-1,621452,-1,-1,-1,-1,869397,-1,-1,929619,-1,860797,-1,892085,-1,666073,641500,734186,92739,-1,925870,-1,-1,-1,-1,-1,642231,-1,473700,-1,-1,-1,-1,83362,951803,-1,-1,125084,816187,-1,-1,-1,340113,834976,-1,754009,-1,866878,-1,198870,640924,-1,602247,-1,-1,-1,626656,-1,340289,980011,844752,58918,-1,-1,94560,-1,-1,-1,921505,972670,-1,211059,54072,-1,-1,964073,-1,60755,498425,996430,-1,-1,-1,216261,-1,-1,-1,-1,745882,25750,252069,117691,-1,-1,-1,-1,-1,-1,135999,218926,586723,477988,724387,844446,813672,-1,-1,-1,107448,241398,858842,618456,565159,80309,585176,-1,371846,-1,769780,-1,161566,87772,668837,-1,-1,-1,-1,961874,716874,-1,198396,-1,723387,-1,225466,-1,791992,455942,-1,327979,995978,-1,-1,-1,584640,969771,-1,-1,-1,-1,-1,588207,-1,-1,130069,-1,82837,106389,106670,795579,350361,-1,-1,-1,-1,-1,-1,77988,-1,718258,-1,-1,-1,-1,89016,-1,938358,-1,-1,504410,812178,-1,-1,738973,-1,769042,328043,573195,-1,730269,323446,-1,981473,640315,955654,-1,-1,-1,159807,862909,729122,358364,344576,-1,-1,778237,899052,527599,854721,16202,281295,-1,864256,-1,-1,-1,-1,-1,-1,-1,140452,-1,-1,-1,-1,-1,629512,937441,311216,414323,-1,-1,925933,-1,341060,-1,263826,-1,164680,-1,611570,-1,127063,64209,-1,-1,935118,-1,216273,-1,174819,478878,-1,-1,171900,57752,-1,-1,-1,904303,883652,158966,882915,-1,-1,470701,-1,651868,534531,-1,-1,498382,777352,55352,-1,-1,-1,128734,307775,-1,609794,393803,862103,-1,616103,-1,-1,-1,746675,124005,914128,164073,636062,112273,-1,-1,4092,-1,752463,925305,738145,779892,-1,733701,925276,248391,-1,56878,19788,495844,184666,570547,395521,108388,-1,290185,-1,995249,-1,-1,-1,-1,-1,-1,175855,129777,-1,-1,532677,38144,-1,258914,-1,-1,734536,52463,-1,-1,28024,-1,-1,-1,126821,542994,-1,-1,514729,-1,41958,-1,691131,-1,443613,477451,5152,647304,-1,356950,-1,133280,326732,-1,827233,573882,789715,87136,-1,-1,891094,-1,188772,411140,-1,-1,505579,-1,344534,-1,617132,-1,112832,-1,-1,-1,256291,268690,-1,768062,3178,190099,60377,-1,-1,-1,101908,-1,108974,-1,-1,-1,454922,814794,612735,-1,940306,481640,705490,685746,565198,556756,248987,511799,-1,-1,72625,-1,-1,-1,611827,-1,755183,-1,753336,-1,199868,736555,-1,-1,308483,-1,-1,675649,588037,-1,-1,937497,-1,732354,-1,-1,981339,-1,-1,-1,283563,-1,457092,429373,720414,-1,912537,267903,541583,-1,783105,19554,-1,248639,396966,876079,-1,-1,933340,884344,162593,-1,524180,-1,-1,887790,920211,-1,546982,-1,-1,326593,124961,-1,-1,905145,989188,-1,681472,-1,500643,627447,792672,778664,-1,409912,-1,-1,-1,-1,440498,914391,14274,488658,-1,-1,-1,642241,258673,45907,-1,-1,-1,762549,-1,575957,885789,-1,767568,-1,356820,50644,-1,-1,-1,-1,-1,565756,-1,-1,-1,3184,-1,-1,-1,-1,-1,614760,918890,-1,449346,152874,-1,482320,-1,-1,-1,-1,785213,547866,-1,-1,105436,668678,395265,-1,-1,854990,-1,-1,348309,-1,207261,9073,795814,593981,-1,747235,-1,787866,-1,476300,732171,253036,735849,766282,-1,-1,-1,916180,-1,358026,132425,-1,-1,-1,139011,-1,-1,101326,798595,202708,181744,820324,99569,-1,-1,422188,567688,609997,-1,548388,44709,-1,127782,-1,-1,-1,-1,-1,-1,-1,-1,553167,-1,-1,-1,269268,-1,374654,-1,858637,-1,830515,-1,-1,17844,71160,639218,-1,-1,287423,66594,253899,-1,-1,-1,437562,-1,-1,-1,-1,-1,-1,258556,146485,-1,-1,920917,629272,-1,517185,276384,477222,231071,-1,387792,-1,93795,-1,-1,-1,117333,-1,891225,461149,-1,-1,757245,-1,-1,-1,-1,221640,-1,599854,490591,-1,-1,-1,443476,849482,-1,-1,88044,-1,184876,-1,839923,-1,618273,-1,-1,192142,-1,-1,993144,-1,-1,-1,4964,235974,-1,983055,-1,-1,-1,64817,-1,625436,-1,788827,376147,577589,576559,753297,75688,-1,-1,160768,-1,982037,-1,428880,636001,795661,647876,596487,-1,187529,-1,448164,504395,478380,688480,-1,-1,648893,348010,787791,-1,940179,381100,-1,340463,-1,-1,362951,393911,-1,554821,-1,999384,-1,-1,126388,-1,-1,-1,-1,-1,-1,-1,-1,403617,424491,478224,603898,-1,-1,347917,-1,-1,721105,-1,-1,-1,428008,458626,-1,126267,164836,-1,130900,909499,-1,-1,414955,-1,-1,905637,75313,-1,517506,-1,311471,-1,-1,-1,-1,232277,-1,765894,-1,-1,439177,-1,552227,951673,-1,-1,196948,-1,-1,-1,-1,274201,748182,963323,-1,228481,649734,-1,951209,249635,-1,771898,-1,627064,-1,-1,771102,-1,-1,-1,-1,410246,78229,226050,127966,-1,-1,223159,280034,-1,525050,-1,597206,-1,17128,-1,626143,-1,-1,284672,235258,57863,-1,-1,-1,-1,-1,977302,55932,-1,-1,129594,837964,-1,-1,531950,-1,48235,634544,59199,-1,367735,-1,-1,355937,461028,58183,684471,365640,-1,162996,993268,-1,-1,-1,309714,-1,516828,3774,-1,694979,789906,-1,-1,-1,467163,-1,-1,103286,627682,783353,-1,689354,-1,616915,-1,527183,534767,324640,931664,-1,417012,-1,905579,-1,-1,-1,234916,188728,-1,-1,787426,316415,-1,-1,197253,-1,945324,900854,235224,440888,-1,-1,970323,-1,795439,299995,565996,-1,-1,-1,-1,978225,415508,216950,-1,93002,-1,-1,194528,249897,-1,27845,653241,506187,-1,-1,-1,859790,-1,-1,-1,-1,-1,941383,-1,229855,-1,-1,565130,557247,641199,-1,778447,-1,-1,157244,-1,-1,968361,621471,216906,724996,388644,-1,-1,-1,467645,230290,-1,957783,3201,-1,425666,601775,-1,-1,43148,641244,-1,-1,444301,148509,-1,-1,-1,-1,385316,252140,-1,-1,773990,742929,207038,-1,-1,768475,388320,-1,129203,763824,865388,792780,859636,-1,-1,953376,236844,-1,3140,461754,117599,-1,856826,-1,437035,-1,278159,953326,-1,917121,308426,-1,-1,411942,-1,842516,-1,-1,-1,-1,-1,442440,657312,814592,-1,15357,385642,114570,814871,-1,663324,869860,-1,250956,-1,116711,-1,-1,63765,732600,342244,-1,333067,840268,-1,366592,-1,248086,815666,-1,275943,-1,-1,-1,-1,647766,693172,759051,867716,967426,-1,8854,-1,91306,-1,-1,864506,771716,-1,-1,-1,117373,589968,333700,722318,-1,-1,287044,-1,-1,338660,-1,-1,993510,-1,286366,645591,-1,58762,-1,535783,-1,720029,-1,-1,834370,482652,-1,166537,-1,-1,-1,875108,-1,356214,376450,20407,461840,-1,-1,-1,885042,-1,646001,61344,55960,248291,620273,-1,36873,820556,335534,472680,342625,-1,440585,31667,975652,58061,-1,489237,-1,951400,577389,-1,588517,-1,385935,425791,-1,-1,-1,11382,-1,651711,133349,716761,14189,-1,570126,-1,14695,863611,636271,-1,173489,105674,-1,992513,456787,-1,-1,-1,-1,-1,304926,-1,117270,-1,-1,-1,276662,535333,785850,557436,528109,-1,-1,506385,330980,388689,-1,657114,-1,-1,-1,-1,543915,555348,-1,-1,708181,-1,-1,-1,-1,347265,125074,-1,-1,445838,851121,392800,93499,-1,578684,-1,976967,-1,-1,-1,-1,343664,-1,-1,673574,-1,543955,-1,731722,-1,766551,-1,683857,-1,11162,53915,-1,855218,356482,-1,180025,-1,-1,416313,575963,131752,-1,417134,652787,267983,-1,761232,25632,-1,464582,32853,686030,-1,855903,875601,935226,-1,308993,-1,-1,880189,133511,800439,14073,864580,998732,465183,-1,392820,579365,788478,-1,599168,932864,157294,-1,-1,743160,215442,351793,-1,-1,-1,596874,46855,513078,410688,784641,814604,910342,272694,444309,-1,-1,-1,877043,-1,-1,120074,-1,78409,323836,744678,-1,-1,709679,332572,359041,-1,271381,734351,467549,-1,-1,312898,-1,-1,885056,-1,524497,-1,956286,-1,-1,-1,337884,408945,-1,240082,618941,358480,44930,-1,-1,-1,-1,567426,52653,56775,278577,-1,-1,-1,601669,317625,-1,900291,-1,-1,37431,469092,-1,266112,-1,725587,54464,225146,449978,-1,772797,-1,-1,-1,-1,-1,754146,-1,-1,52244,894852,-1,199263,334583,-1,98376,-1,-1,-1,-1,-1,-1,-1,543362,210059,850609,-1,-1,-1,655455,-1,458813,-1,-1,-1,-1,-1,-1,460725,-1,581678,260450,-1,638128,-1,321431,195514,771269,-1,604940,-1,-1,488414,411689,664663,-1,75278,-1,877734,238200,-1,603685,24163,30277,-1,833066,-1,995847,486163,792878,-1,721874,-1,-1,46543,-1,349180,833427,625618,-1,-1,889701,445579,228808,-1,-1,-1,-1,-1,312894,853306,-1,-1,509873,-1,867201,166839,447348,-1,793486,934314,-1,709749,-1,-1,-1,-1,662175,-1,82078,216431,-1,681702,-1,660676,44891,-1,846594,629415,76189,964799,280353,772455,-1,392374,791954,766231,375722,-1,318124,547770,965846,-1,-1,521818,-1,-1,-1,217095,-1,156097,893040,745722,-1,-1,-1,492047,212179,-1,755779,-1,950828,-1,-1,-1,611280,-1,888477,825868,-1,722812,623225,-1,-1,-1,799511,-1,-1,924699,98147,-1,348813,-1,729241,-1,-1,955161,-1,73472,395554,321730,-1,70799,938844,171559,-1,-1,-1,201625,-1,954862,26459,-1,-1,-1,-1,771820,-1,53570,-1,-1,-1,242004,-1,-1,462708,-1,880154,-1,343980,-1,-1,-1,-1,858690,-1,786309,275899,-1,-1,-1,-1,-1,624375,633477,184585,-1,543480,-1,144422,678720,929826,599298,595001,370853,307639,-1,-1,120441,-1,740456,60009,-1,-1,241218,-1,58808,976908,502055,-1,253250,-1,-1,785461,146665,-1,-1,-1,44294,873721,-1,-1,-1,-1,-1,-1,379941,97502,-1,-1,520801,366107,679704,845750,787317,-1,-1,-1,-1,-1,758047,866413,272935,463733,-1,-1,-1,663338,-1,-1,-1,538923,-1,756640,-1,-1,723084,955402,57284,219688,-1,-1,-1,-1,-1,-1,-1,-1,80249,-1,-1,-1,-1,-1,761986,403001,751261,-1,554387,-1,244885,833936,-1,-1,-1,964776,976354,-1,100280,433818,-1,453687,986409,496585,323291,620486,857863,-1,-1,136427,497402,764775,-1,-1,-1,466141,489868,982811,-1,392458,-1,-1,407404,663168,-1,986266,636146,416370,354668,-1,172921,-1,443594,-1,215019,-1,74782,706135,957748,-1,-1,947461,-1,-1,-1,973112,-1,-1,-1,461479,559287,-1,546821,-1,-1,-1,585682,-1,-1,823298,459194,81885,452318,219794,-1,756122,-1,-1,-1,222810,-1,-1,-1,-1,-1,926250,948486,-1,-1,399781,-1,207359,535276,347114,145813,-1,-1,-1,110560,-1,584808,-1,544046,83010,391226,-1,6589,-1,71730,-1,-1,-1,945864,-1,225205,-1,-1,269395,-1,-1,352926,905379,471816,162347,-1,529320,-1,845146,-1,704947,-1,660810,-1,208125,695106,-1,480763,-1,-1,316956,-1,104613,-1,-1,-1,775792,-1,27429,-1,-1,529277,814977,295344,630691,497137,-1,323984,752583,-1,-1,-1,-1,-1,-1,-1,285891,-1,-1,-1,-1,423157,916437,979870,164845,783284,900770,66621,-1,-1,-1,201584,694046,-1,670079,-1,-1,294988,542480,-1,-1,-1,830596,518700,-1,-1,337900,-1,765098,547822,364549,321975,666640,668992,-1,-1,-1,393705,316559,30506,-1,648465,-1,721464,-1,-1,-1,667152,679797,-1,502279,-1,-1,523622,-1,12320,-1,-1,798092,171688,-1,-1,-1,861945,-1,-1,366156,-1,823890,-1,31397,901815,166480,-1,761,-1,641392,280507,-1,-1,191847,962633,-1,-1,-1,563384,114402,663925,137316,371744,475071,-1,722553,-1,978950,800034,-1,-1,-1,-1,30793,-1,-1,-1,-1,669715,233424,483410,218704,-1,430783,252527,126107,-1,10000,-1,765902,270328,-1,-1,-1,-1,342679,-1,-1,691223,-1,571270,-1,-1,391643,345006,-1,-1,147927,731169,-1,-1,-1,461572,743421,-1,248295,497225,-1,-1,-1,195615,-1,-1,-1,408578,-1,904552,844126,460152,997497,475574,215233,-1,-1,495357,-1,-1,-1,272745,30233,682883,-1,983741,-1,113500,-1,-1,984228,735477,-1,-1,616509,-1,488935,-1,525707,763491,-1,160219,-1,623178,-1,-1,-1,161758,533094,175813,29161,257324,115519,700478,459859,-1,-1,-1,75046,-1,908493,-1,984115,274513,355359,805447,-1,-1,109034,584005,-1,96136,-1,-1,688900,-1,-1,-1,722965,453252,712047,-1,-1,216206,452803,-1,-1,-1,861351,-1,313973,741959,-1,580215,407487,997126,325269,-1,947874,-1,5295,342292,22056,556817,-1,-1,471259,-1,144645,356795,94245,-1,429712,168393,-1,-1,-1,-1,-1,531116,-1,263896,-1,565339,575002,692293,-1,91154,-1,-1,435857,863203,240894,158098,92084,-1,202034,164753,152634,-1,461962,-1,848556,721530,-1,55868,-1,-1,-1,339981,514332,283250,-1,908922,191274,-1,508119,-1,302119,-1,315477,-1,-1,-1,-1,963877,240972,-1,91556,528996,790892,-1,205626,578051,-1,-1,-1,821419,-1,-1,-1,-1,91894,258200,381432,-1,833124,648485,-1,203657,-1,372690,815212,640320,-1,-1,-1,-1,-1,237333,538421,723993,449299,-1,-1,-1,-1,-1,739798,-1,289811,-1,-1,718908,-1,593917,290255,477574,382890,251722,-1,224759,-1,-1,-1,-1,876388,-1,-1,-1,578198,259044,525969,479978,-1,67074,-1,616439,890773,678206,-1,-1,-1,-1,-1,636879,-1,235362,150477,975179,374994,529966,-1,881130,-1,-1,303093,-1,-1,-1,385748,-1,499877,-1,-1,481032,-1,-1,916371,37832,-1,-1,-1,541053,780151,-1,-1,-1,-1,823610,338954,-1,-1,-1,-1,574302,442879,69275,121175,-1,-1,765129,473002,-1,-1,374137,-1,544434,-1,224786,513605,-1,825913,-1,-1,7471,986231,-1,-1,707411,456826,207150,413266,-1,485229,-1,901456,621511,191153,-1,876766,-1,800421,-1,568124,-1,375292,318140,-1,13820,910118,-1,-1,258196,489088,-1,510690,-1,-1,358826,-1,-1,-1,-1,13393,-1,309043,-1,576602,-1,-1,528243,-1,57882,-1,872895,-1,-1,-1,512219,948396,-1,-1,-1,-1,281189,112727,-1,939316,-1,21048,-1,-1,91801,404495,-1,-1,-1,-1,-1,489220,806967,-1,-1,-1,354690,198807,748458,493011,542640,512827,267707,655700,361775,827111,702756,454863,-1,-1,133200,-1,108114,-1,-1,395819,-1,-1,-1,555470,-1,-1,-1,816794,980978,126450,-1,-1,570637,453132,-1,547907,893034,-1,78853,-1,315012,-1,-1,-1,940749,-1,-1,-1,-1,107944,532840,-1,93530,264237,25220,-1,-1,94828,429490,-1,-1,71834,880864,-1,-1,-1,-1,-1,-1,251205,-1,91043,166599,266213,-1,987743,-1,336724,929245,838425,291859,859837,985086,669112,921932,-1,-1,629222,176824,317078,-1,-1,-1,-1,625379,-1,-1,793670,610282,-1,-1,956343,-1,-1,-1,-1,648698,215222,310824,-1,-1,299770,510019,611518,748676,-1,-1,-1,580304,-1,835508,-1,570915,-1,-1,-1,-1,-1,-1,-1,322694,3326,-1,-1,-1,954356,-1,176756,-1,-1,212756,153950,-1,874036,-1,-1,614752,479919,-1,713771,722592,798261,-1,-1,477539,814289,-1,-1,668731,602735,429126,-1,-1,42617,-1,286636,-1,966961,-1,345976,805425,-1,-1,651163,-1,-1,992449,-1,-1,663026,-1,-1,-1,377162,-1,831295,-1,128236,962130,-1,37820,757915,482945,-1,-1,755903,-1,-1,-1,-1,483486,208321,-1,-1,175846,838659,275793,-1,-1,663132,800619,-1,212763,-1,-1,617658,-1,37255,590805,-1,-1,548373,823537,-1,525110,-1,539464,-1,742679,573709,-1,891284,884441,-1,830561,-1,135149,-1,-1,689554,600907,-1,-1,-1,383391,208483,255387,-1,-1,246594,506014,-1,-1,158925,911173,179601,30057,-1,487918,-1,755366,183802,29964,-1,-1,-1,497788,-1,750297,-1,-1,-1,731537,375704,914358,-1,-1,115500,-1,44699,-1,-1,516202,-1,-1,515743,550968,402695,556431,-1,-1,658116,995543,-1,724551,321754,994907,632953,506095,-1,-1,-1,-1,-1,245786,404112,547805,330552,-1,-1,-1,856109,-1,-1,706438,-1,-1,-1,-1,450549,952850,-1,-1,-1,-1,22905,-1,-1,560282,372866,383627,-1,797730,-1,-1,-1,890822,-1,341691,-1,-1,393007,-1,470378,423387,-1,272253,268815,-1,-1,75828,431274,484928,-1,851106,-1,163166,507848,-1,963424,285760,-1,398345,-1,-1,-1,-1,-1,720828,45369,-1,488025,581414,-1,796338,896755,145486,-1,954487,887739,632161,569587,177500,481947,493700,129484,-1,400321,334030,-1,-1,-1,-1,-1,379366,-1,-1,734663,-1,-1,467095,765246,-1,-1,-1,989130,172244,-1,-1,-1,999800,574935,590819,661572,300617,849580,414032,-1,384218,-1,-1,312419,504869,427996,935788,791787,335043,-1,-1,-1,-1,-1,-1,943516,-1,487297,500804,861225,-1,-1,-1,-1,473038,25226,853673,-1,-1,289449,483403,-1,466233,-1,510373,515504,868259,255487,-1,-1,49215,418623,836484,-1,507119,437460,172096,794430,463191,-1,-1,-1,-1,282506,-1,-1,39555,188544,762296,839373,-1,205308,-1,-1,-1,-1,460041,-1,-1,-1,151000,352012,527528,568502,363771,-1,258694,-1,16201,-1,-1,-1,-1,93337,-1,-1,-1,-1,349457,-1,-1,-1,-1,-1,-1,522514,-1,190053,350143,-1,-1,425823,306786,-1,-1,-1,-1,407588,557174,-1,-1,-1,992313,945491,-1,377387,660137,667768,998342,50942,-1,919244,331675,-1,-1,445982,-1,-1,63902,-1,258094,241110,718001,391620,-1,640090,-1,451664,-1,82261,685770,-1,431068,280724,744128,-1,-1,-1,607262,610083,-1,-1,-1,-1,547058,-1,603796,-1,-1,644522,-1,251164,158634,257415,-1,-1,-1,977732,-1,647506,-1,906759,-1,-1,907880,326603,-1,68625,-1,-1,381917,-1,417393,346196,-1,369572,164376,-1,-1,-1,-1,-1,833557,-1,-1,318638,-1,-1,-1,-1,-1,9879,989646,848381,-1,630190,-1,717459,803603,-1,932996,421207,-1,-1,-1,420506,-1,-1,362242,918336,-1,589932,-1,200492,346378,-1,507758,174940,-1,134337,-1,783686,653282,-1,580706,-1,-1,-1,938084,-1,-1,121770,-1,95460,-1,976689,594233,-1,-1,-1,840278,-1,902109,-1,-1,131960,311162,-1,650084,193920,-1,576274,-1,-1,444858,-1,64077,-1,693299,84044,-1,-1,-1,671901,-1,-1,-1,-1,544565,139586,-1,486588,-1,742442,745406,-1,-1,-1,-1,-1,465138,-1,57264,-1,712546,-1,-1,147518,-1,742984,357208,766682,741173,178851,569429,197366,680504,570797,668932,381954,273770,-1,723573,377964,-1,852022,-1,639981,-1,507303,171071,-1,461611,179759,687304,813810,718740,731606,478153,871224,-1,830398,-1,-1,641077,402762,153184,-1,625030,-1,-1,-1,-1,-1,-1,958296,909177,-1,-1,-1,880310,310335,-1,500981,-1,391855,762779,653121,637417,914706,43598,-1,-1,180016,937927,-1,25848,-1,-1,-1,423682,990424,-1,-1,-1,-1,-1,953248,50296,174592,602721,-1,359742,108454,-1,-1,510569,437394,24728,814567,-1,-1,281426,-1,-1,-1,478283,-1,16547,752726,379110,-1,141130,427426,-1,-1,603062,946762,51372,814972,472107,-1,-1,-1,-1,-1,-1,226833,510810,391167,-1,-1,-1,136736,587318,623952,-1,983058,-1,-1,698190,940610,840896,-1,507982,337370,302722,866052,55536,-1,772546,-1,-1,-1,818391,997516,-1,418935,-1,710758,-1,-1,-1,835901,156692,669103,-1,491778,674666,-1,-1,-1,116512,-1,994091,-1,175290,922534,-1,-1,737693,814352,44701,-1,-1,381585,532064,291836,90961,940444,-1,-1,953730,-1,384064,732748,-1,903147,829016,114757,696250,-1,-1,-1,-1,-1,-1,-1,-1,232367,-1,520736,-1,-1,450121,852450,174145,873546,-1,447467,512256,769014,-1,-1,208621,-1,-1,799954,97673,-1,-1,932649,-1,-1,450690,2602,318988,198029,-1,-1,-1,495845,-1,-1,-1,343362,-1,197715,-1,271149,347992,-1,-1,736279,449966,584596,-1,-1,-1,-1,-1,-1,938425,100053,-1,-1,527529,783482,404599,310900,-1,-1,906520,60633,-1,-1,191048,-1,289171,690689,-1,-1,-1,-1,-1,-1,-1,-1,626685,255257,-1,63672,299332,956827,-1,-1,196030,351558,348817,206027,-1,-1,-1,-1,-1,-1,-1,-1,-1,260817,-1,-1,419640,-1,533073,795543,-1,-1,797814,-1,-1,-1,-1,204896,-1,363940,-1,820766,357525,-1,-1,-1,148727,-1,485185,-1,-1,926429,541702,-1,-1,-1,941226,847509,778511,35122,432393,-1,-1,492306,-1,408143,563355,-1,-1,-1,229445,-1,-1,328649,158271,486955,32133,444207,-1,-1,957331,-1,-1,74380,-1,556874,-1,456738,378440,-1,-1,-1,307741,59207,722317,944577,191786,-1,669036,-1,-1,437848,-1,-1,-1,199402,754889,-1,-1,-1,-1,-1,-1,-1,542269,204699,-1,-1,520582,-1,800446,593828,404114,283511,65605,-1,282513,793744,-1,800334,-1,44702,487500,-1,-1,30214,187640,-1,283562,116139,1933,581769,840138,758863,-1,356190,736718,-1,-1,40897,-1,974405,-1,-1,715995,-1,619396,812634,-1,-1,-1,478599,-1,-1,868003,822562,-1,-1,-1,-1,-1,115125,-1,567348,152262,-1,-1,204160,329725,-1,-1,-1,670656,-1,371218,696315,-1,199344,253817,-1,708524,937951,962054,-1,-1,689485,27810,-1,803530,-1,-1,-1,-1,591547,-1,-1,674593,315362,446127,-1,-1,421077,628151,240145,14836,-1,811885,-1,-1,700612,37227,-1,-1,44529,-1,-1,-1,-1,-1,973587,982625,-1,316640,-1,-1,981029,-1,-1,634370,89243,-1,-1,-1,-1,116745,472703,930668,-1,230994,-1,-1,683115,-1,-1,-1,-1,162608,576959,-1,969503,-1,92568,-1,520515,-1,228457,697233,518263,-1,62490,513711,888808,-1,-1,-1,-1,14168,710037,848025,-1,-1,969038,-1,245044,515665,626098,571536,245477,1162,705449,307651,339564,265238,646914,787406,-1,-1,321655,-1,155307,-1,822020,310893,489385,153418,-1,864618,-1,-1,-1,679904,360655,-1,-1,797347,238689,683413,843453,-1,84974,-1,-1,-1,960943,629274,-1,536464,84325,-1,274043,-1,-1,-1,484676,-1,209901,-1,731705,-1,747649,153083,-1,-1,-1,-1,886579,661711,-1,614065,-1,-1,49798,414905,-1,90046,693447,-1,-1,556333,277980,389235,-1,771626,361747,-1,955138,663275,128301,947481,550444,-1,-1,-1,636082,58769,-1,848909,919099,-1,-1,-1,42727,-1,-1,908018,218173,-1,-1,800618,-1,-1,566606,68082,490244,-1,-1,639470,42817,149651,313276,-1,-1,-1,668903,-1,53972,-1,999479,-1,-1,-1,152687,-1,263063,-1,218155,430188,603611,101239,688267,463447,-1,700285,-1,-1,-1,-1,-1,988548,488254,-1,-1,762257,-1,-1,144574,-1,383334,-1,-1,-1,274289,447682,8227,662837,838390,86483,-1,-1,-1,-1,-1,393960,723224,-1,-1,-1,-1,895691,-1,384658,194236,-1,537027,-1,649866,773370,-1,4444,370843,-1,-1,-1,-1,612463,34380,-1,-1,267864,204038,19330,231916,699991,-1,827910,538739,483506,832035,791334,713849,956079,472471,810607,-1,-1,873401,-1,252977,538497,188973,-1,-1,-1,205787,400877,-1,-1,609567,581966,-1,-1,117222,-1,180474,164830,14769,929376,-1,813014,663686,582860,-1,64560,-1,322270,-1,-1,-1,761278,-1,-1,95732,545923,546481,732324,552395,594003,-1,-1,925549,808668,-1,936145,-1,263422,-1,-1,456781,706447,-1,142784,282630,874666,589489,-1,-1,-1,874870,-1,-1,874477,-1,626298,-1,772680,-1,943670,-1,549272,-1,-1,916406,855696,952722,159462,156797,425252,229755,307638,381705,-1,44831,-1,890688,-1,242822,638111,395161,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,292627,621871,404405,378689,661477,-1,-1,532675,173756,-1,-1,152564,383404,382927,202543,-1,883475,-1,144063,227111,779775,-1,805981,651391,128741,-1,268564,416757,-1,-1,758514,-1,113364,-1,-1,-1,37408,-1,-1,968047,-1,51868,-1,559039,127276,-1,-1,-1,-1,-1,524972,-1,-1,632979,-1,191541,451058,-1,-1,204860,53057,97637,-1,502192,-1,-1,-1,901624,484276,335041,447539,836978,759068,-1,-1,-1,-1,667245,979517,329926,145772,-1,-1,-1,-1,-1,-1,538122,396643,245757,152292,-1,-1,-1,575308,866797,762947,333310,650365,185374,-1,210518,-1,-1,227069,655233,-1,-1,-1,185096,313852,767393,85591,63253,669359,-1,854531,434763,878895,866682,484381,503477,-1,-1,896299,-1,-1,456746,-1,468117,337879,783719,640122,277973,255413,92841,-1,-1,-1,-1,-1,-1,-1,384436,389014,-1,861797,458798,-1,-1,355497,-1,-1,-1,-1,358099,-1,-1,419641,119056,-1,416692,281724,-1,877320,804064,73449,-1,-1,-1,459073,-1,-1,-1,648319,-1,-1,-1,-1,-1,838655,-1,-1,-1,60251,652976,432245,-1,299347,-1,21469,44382,455574,-1,-1,-1,50624,18282,604369,-1,206835,878723,-1,880122,-1,273486,254888,859605,-1,-1,-1,944679,496938,549913,-1,-1,-1,137776,-1,214230,-1,-1,-1,-1,-1,-1,-1,144627,-1,-1,-1,749893,-1,-1,220448,-1,-1,278602,167803,659841,-1,-1,331986,-1,-1,943982,-1,61883,99604,-1,-1,458988,975669,-1,-1,-1,293372,419155,-1,-1,-1,721477,112790,948072,-1,-1,-1,-1,189038,-1,-1,125439,611604,718043,-1,868544,-1,871904,639348,808051,-1,-1,-1,-1,-1,50724,-1,770707,-1,878652,329577,768457,504215,374141,503018,-1,-1,389513,-1,-1,-1,488757,-1,714441,-1,-1,51305,-1,992749,342532,112091,-1,267856,-1,-1,191730,778235,-1,-1,457025,-1,747778,-1,-1,-1,589022,-1,570858,-1,-1,-1,797848,-1,355366,-1,424329,335013,785906,86235,832410,839187,431650,239636,-1,-1,-1,-1,-1,103468,-1,-1,434481,-1,405882,676394,845135,-1,-1,-1,-1,-1,372154,980833,852037,359501,-1,316701,877976,-1,-1,653761,-1,-1,-1,705664,815261,-1,142780,-1,211723,252765,-1,-1,949745,209509,910292,357282,394013,904647,274770,-1,304907,-1,-1,-1,-1,560174,-1,436826,109938,-1,-1,-1,795281,-1,306252,-1,156042,655123,-1,-1,-1,526705,66767,-1,279628,191464,-1,604918,381668,441436,-1,672218,-1,898817,867169,178406,-1,-1,-1,162314,368581,486808,2639,194221,134100,27825,252767,-1,770842,-1,408949,-1,752037,-1,-1,150541,172498,-1,437703,687505,-1,988039,-1,-1,927139,298875,421095,-1,468873,-1,555927,878315,-1,-1,211844,-1,-1,921455,-1,423647,-1,319663,181560,-1,-1,585524,616224,-1,-1,-1,-1,-1,769569,-1,196060,161965,-1,-1,589296,224236,549360,-1,-1,-1,813619,506205,561410,-1,-1,-1,-1,-1,-1,-1,-1,497520,812603,-1,-1,517059,-1,-1,-1,351594,-1,-1,-1,754608,264785,-1,473714,-1,283070,-1,987354,-1,988798,-1,328731,-1,130123,541516,700209,3880,-1,87730,497668,885988,-1,330602,-1,784346,409333,167114,430132,557322,-1,-1,206834,710406,399409,369505,-1,336932,91512,-1,-1,-1,-1,684269,917569,-1,-1,-1,-1,490765,373415,601673,905935,26352,-1,-1,-1,-1,607871,-1,737298,-1,-1,943069,929796,-1,184108,648239,951295,-1,-1,-1,336304,145054,-1,674679,912711,936142,190282,288697,845996,-1,-1,487414,-1,-1,609401,354757,513379,-1,-1,-1,762987,-1,502732,336449,-1,520166,-1,-1,252975,-1,-1,-1,349167,-1,-1,-1,-1,-1,835213,-1,-1,92614,-1,774723,-1,-1,-1,-1,313318,207329,-1,754289,650029,367028,828407,-1,790709,-1,92129,714295,500389,-1,-1,75158,902427,771746,427260,942756,-1,-1,-1,261341,856544,148969,374611,-1,-1,227517,-1,544448,901997,-1,-1,-1,65315,993827,-1,695548,738234,863214,-1,767349,239004,912174,-1,-1,-1,243069,-1,-1,121137,-1,-1,-1,-1,363477,745157,-1,-1,-1,429637,434621,-1,-1,730015,-1,-1,706572,-1,843730,-1,-1,-1,-1,-1,599209,-1,830947,-1,-1,-1,-1,-1,-1,-1,697034,749527,-1,-1,63346,-1,-1,54297,-1,603544,-1,588792,-1,90890,329261,-1,-1,97621,872443,-1,930597,812624,792109,726959,132036,-1,821880,-1,595462,583524,-1,-1,-1,-1,-1,-1,-1,-1,768142,545109,934313,-1,807869,399120,-1,-1,-1,648344,-1,-1,954625,-1,878766,351557,998689,-1,688636,-1,-1,275348,-1,-1,-1,746842,-1,685379,-1,201222,968356,309449,-1,320210,-1,13207,-1,-1,-1,-1,-1,351814,-1,556006,-1,80348,-1,-1,597136,-1,846385,-1,-1,-1,-1,-1,218369,-1,-1,879055,-1,-1,577370,-1,-1,-1,552103,916073,-1,-1,-1,-1,542736,116019,259434,-1,-1,-1,-1,743445,221944,-1,145311,732775,-1,-1,-1,633728,-1,906140,-1,-1,-1,176173,89229,-1,430206,-1,-1,-1,-1,798472,213023,-1,-1,854704,430313,-1,-1,-1,566295,-1,-1,-1,543879,854500,46201,672556,-1,922603,-1,371371,-1,16553,668687,-1,615709,971811,-1,822418,-1,-1,548447,-1,-1,-1,805850,738239,754671,3344,-1,-1,-1,906515,400551,544521,-1,762329,591737,-1,414964,757203,317332,-1,975769,-1,762191,891790,469642,688054,-1,-1,231239,210734,-1,-1,884666,-1,485635,4867,-1,-1,-1,-1,848837,440712,-1,448718,830354,946663,-1,-1,-1,262694,-1,-1,322483,939552,-1,378181,183841,23417,-1,-1,108369,11253,786370,-1,318157,-1,-1,-1,163405,-1,873881,-1,319036,59842,829849,-1,112354,-1,-1,-1,-1,-1,204753,860738,-1,-1,-1,-1,-1,317139,-1,-1,-1,-1,-1,20984,-1,365073,-1,-1,187745,-1,324783,-1,666390,-1,-1,673554,-1,-1,81726,-1,768153,487156,23226,-1,-1,-1,-1,-1,-1,-1,155440,-1,661546,-1,-1,-1,651675,655972,306020,-1,-1,726853,921352,-1,-1,990494,-1,833198,282241,827039,914631,483470,-1,-1,624999,-1,595873,-1,-1,57573,-1,734206,554768,329291,819758,573528,-1,-1,-1,-1,-1,-1,732800,54664,353027,-1,576451,-1,451035,583410,-1,-1,762423,206559,309520,41584,981148,777458,76489,42883,-1,-1,704806,852378,125466,-1,967177,-1,-1,100407,138493,-1,453834,-1,340609,-1,-1,917109,-1,-1,727968,315590,435352,-1,558243,-1,-1,-1,634782,-1,-1,432001,-1,510605,-1,-1,5705,-1,949152,433616,-1,844179,144421,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,959007,-1,105905,-1,-1,-1,-1,310722,-1,539481,720910,472178,622069,-1,-1,919823,-1,717648,829657,307509,-1,-1,-1,-1,-1,609771,-1,-1,-1,-1,578070,-1,-1,-1,778014,592793,387960,775369,-1,-1,540483,293483,-1,-1,715931,-1,-1,-1,389351,-1,-1,242625,151151,-1,-1,-1,162560,-1,428752,808060,-1,859027,-1,-1,-1,743911,672317,-1,-1,506767,-1,662581,-1,814712,85440,-1,117662,-1,471069,185864,321742,443201,867243,952045,215686,-1,-1,553841,194675,-1,-1,-1,-1,728955,957264,-1,-1,250870,-1,-1,-1,-1,267290,644235,-1,-1,-1,102924,718040,-1,-1,307891,-1,735684,33581,931580,-1,-1,516133,250822,268401,563024,-1,-1,374519,-1,497557,-1,-1,597265,775068,-1,-1,862270,-1,-1,-1,-1,785894,-1,-1,-1,-1,667209,772738,376668,-1,716287,-1,450177,-1,963896,-1,-1,852859,-1,-1,-1,-1,487077,243836,-1,-1,619847,-1,-1,-1,484195,-1,961093,219973,-1,591541,737250,-1,346720,-1,25305,562253,-1,541499,398586,201497,-1,80199,-1,332832,55881,947922,584430,583368,840272,854914,-1,658362,463246,807491,-1,200892,-1,-1,67187,908369,-1,-1,-1,504824,-1,-1,863274,99173,-1,469097,-1,679594,911077,-1,-1,-1,-1,-1,-1,837897,-1,375891,596585,-1,-1,369413,39564,27288,676506,-1,-1,33783,923901,-1,77605,-1,591181,562644,10315,-1,-1,-1,-1,237077,-1,-1,-1,36247,256521,116282,-1,-1,-1,32762,-1,-1,-1,873151,-1,415863,425299,769397,833278,-1,817909,-1,-1,-1,200345,104310,-1,-1,508576,410067,520116,-1,-1,-1,-1,-1,-1,466248,822822,807384,-1,-1,-1,-1,261070,-1,-1,32372,-1,892017,119709,-1,-1,824881,314879,795732,421914,-1,-1,579467,-1,-1,-1,-1,607389,65573,719829,-1,-1,-1,-1,-1,321360,-1,-1,-1,783182,-1,-1,-1,-1,158784,261557,250171,-1,-1,-1,627312,487225,-1,-1,220488,252727,162880,209846,936874,-1,454215,184489,280180,-1,-1,495706,144091,-1,-1,878462,826103,230806,-1,867001,-1,98720,616116,-1,-1,786369,101490,-1,477216,237765,-1,-1,1780,89804,-1,790125,-1,170428,-1,438271,-1,-1,240317,430672,-1,-1,116403,367336,-1,-1,430085,941869,295487,312059,576115,-1,993074,995951,300225,-1,-1,-1,-1,528158,-1,-1,479906,-1,333309,-1,525770,-1,-1,-1,429981,551175,-1,-1,-1,-1,521529,-1,-1,-1,650933,881308,-1,-1,89282,-1,308950,-1,-1,820689,-1,446811,-1,880024,-1,-1,480483,732896,583767,669318,859901,-1,494458,-1,-1,514326,997789,113021,212401,277449,-1,-1,977390,139339,-1,456852,840446,-1,-1,-1,533796,-1,-1,-1,-1,-1,-1,869526,572399,386381,-1,131939,-1,-1,-1,683132,615645,-1,-1,661019,365668,-1,138975,-1,82513,-1,856620,880196,-1,546552,690710,-1,-1,-1,-1,-1,590951,492531,169170,679697,138604,927511,-1,-1,-1,762738,87340,322599,851840,627888,-1,-1,838537,378943,-1,734668,-1,-1,-1,-1,-1,-1,951370,-1,-1,-1,-1,858249,-1,-1,-1,211143,-1,733283,-1,432712,556087,349440,240673,206542,-1,588850,214127,-1,-1,-1,-1,-1,269384,-1,439298,243900,701075,412110,744636,401925,-1,901896,676812,-1,50032,729226,447916,-1,914852,621057,424171,-1,509051,-1,-1,-1,886093,699926,571998,265077,-1,105117,962325,-1,785671,-1,-1,-1,-1,923177,202195,-1,236188,-1,639144,-1,-1,-1,-1,577298,861489,678556,660458,-1,29511,137365,-1,-1,-1,555963,901859,987244,641168,227491,484393,-1,287862,979679,674508,753246,-1,-1,-1,-1,672745,455909,-1,17029,-1,-1,-1,-1,-1,-1,-1,142480,484954,-1,-1,634759,52789,957437,252420,444950,-1,-1,739060,-1,615555,983332,483876,223185,422812,-1,309274,41118,-1,-1,149702,-1,-1,826389,763471,-1,-1,-1,369172,982503,-1,198377,159237,-1,64668,23491,-1,-1,-1,-1,567848,-1,739939,868896,781025,-1,25181,872208,-1,-1,-1,-1,325308,104115,-1,-1,-1,-1,211300,755281,580616,-1,82277,-1,-1,-1,567814,230618,37353,966080,-1,749744,-1,366420,-1,-1,694638,-1,793044,-1,-1,771993,-1,-1,622544,-1,-1,75908,430198,-1,-1,-1,252056,-1,-1,-1,-1,726653,-1,130132,345520,944759,-1,-1,356548,72891,182360,-1,19855,-1,-1,37073,984384,-1,134830,177302,635970,-1,-1,-1,972987,-1,472813,500521,-1,163458,729267,-1,182839,-1,905005,-1,457135,801945,390175,-1,69662,683906,575327,-1,-1,433316,160197,-1,511328,481220,-1,-1,518632,-1,222694,-1,283033,-1,-1,702387,-1,678226,-1,661326,-1,-1,-1,288773,777176,208887,247609,326582,60193,450924,-1,306106,-1,-1,403186,-1,-1,606968,-1,577532,-1,944237,858704,-1,748418,-1,-1,-1,971465,-1,146670,719247,-1,-1,-1,-1,12699,602195,795999,-1,-1,-1,-1,-1,-1,177350,743634,-1,623941,-1,512113,-1,707027,62979,-1,186457,-1,565813,-1,877803,593691,-1,149541,37756,-1,-1,-1,-1,71983,-1,858620,-1,-1,-1,695287,609294,544911,-1,-1,289574,398412,-1,141516,427735,-1,-1,-1,937030,487822,-1,726837,989200,-1,128727,746727,-1,-1,290154,321634,-1,172193,749444,-1,-1,-1,299071,473322,-1,46678,708318,511919,-1,-1,835064,-1,135324,193273,-1,422361,265610,664013,-1,304436,351426,932531,-1,510685,-1,-1,362504,554970,-1,523305,571263,-1,-1,865433,376817,-1,71553,-1,-1,438672,612804,238763,-1,387714,-1,-1,549479,629985,-1,917224,-1,-1,-1,161593,-1,571165,32903,-1,532272,421215,-1,-1,-1,-1,18164,809573,900508,-1,62442,-1,878461,-1,721609,884829,921614,-1,-1,408446,250223,-1,456744,507624,794562,-1,-1,-1,-1,-1,59305,246514,-1,-1,-1,-1,89765,442366,64597,-1,819961,-1,888225,713262,929147,-1,139056,-1,505727,-1,73438,65409,-1,-1,-1,-1,337529,-1,-1,-1,-1,-1,-1,-1,-1,934079,-1,-1,161258,756461,-1,306619,769477,-1,-1,-1,-1,-1,48309,-1,203859,-1,508948,659114,44799,-1,435480,-1,-1,-1,714514,-1,131825,-1,-1,-1,568098,755473,916275,388222,120238,895436,-1,627874,-1,187250,-1,402797,467826,413637,-1,390935,924812,49498,140844,-1,544389,-1,940289,-1,-1,343607,786650,235520,-1,-1,-1,-1,-1,464927,-1,773472,-1,656546,371047,734928,932439,75283,-1,182467,966638,-1,-1,-1,306534,410454,-1,709976,311820,-1,302918,106042,-1,901046,892239,-1,-1,692542,-1,48711,720998,42419,209200,-1,226454,-1,815216,-1,-1,-1,13180,415470,452972,476793,-1,5751,-1,-1,-1,188521,-1,-1,-1,-1,-1,626761,-1,-1,758745,-1,-1,-1,-1,-1,947176,332592,-1,565928,364736,598506,-1,324383,-1,365805,287749,712857,-1,-1,846512,-1,-1,716464,-1,103271,-1,802876,238537,387651,-1,563921,150926,-1,387893,-1,338044,438044,534291,809985,-1,-1,908170,-1,-1,423957,639170,544310,88598,-1,-1,-1,-1,-1,-1,-1,-1,315429,468654,-1,-1,-1,-1,811248,-1,15130,-1,812022,850543,-1,-1,264162,-1,-1,654797,543037,335427,-1,-1,-1,194858,-1,-1,-1,901000,-1,878621,-1,3879,604384,-1,657188,149465,53843,-1,-1,-1,711854,-1,967867,-1,-1,-1,588901,812153,403518,578006,-1,142072,-1,987327,598536,425740,996176,690272,864018,476389,347510,-1,489508,-1,868535,-1,191902,185976,219007,929095,511487,-1,-1,-1,-1,550790,-1,828348,415345,-1,423223,732962,399192,706042,-1,-1,-1,682576,-1,-1,-1,567416,-1,-1,477286,-1,-1,-1,694900,643734,-1,278182,-1,-1,426785,783436,711732,798248,-1,-1,-1,306877,924266,-1,-1,726728,-1,829532,-1,852718,-1,760116,-1,-1,-1,526172,839126,751531,286678,-1,-1,-1,365996,-1,-1,325403,-1,-1,-1,804243,-1,-1,-1,690171,-1,-1,681517,-1,-1,111040,916247,-1,-1,913578,388758,403971,-1,-1,-1,632778,285243,270964,-1,-1,211003,333728,254300,-1,543995,392623,-1,813910,817083,-1,-1,-1,457773,-1,60277,526286,-1,941018,663751,-1,-1,-1,-1,-1,219937,-1,-1,-1,156637,-1,382766,950988,-1,268387,561105,-1,-1,-1,-1,208360,397077,759744,602617,855838,-1,522079,20789,550540,-1,-1,671973,290370,-1,443871,-1,740747,39197,-1,878510,482915,914715,-1,543216,346205,230902,902229,538878,-1,-1,-1,-1,42447,310870,325933,101269,-1,-1,863676,-1,982890,534042,-1,-1,-1,416540,525637,639819,-1,-1,555344,668150,-1,132140,-1,-1,-1,529891,-1,421752,-1,-1,-1,948792,579335,487014,734891,-1,-1,-1,931781,-1,-1,-1,157627,-1,928363,231235,-1,-1,167801,945382,-1,-1,110323,156463,-1,550411,209106,232250,-1,-1,479443,736605,-1,619677,748884,-1,647439,-1,490478,-1,-1,280164,-1,382937,894284,-1,383757,854122,-1,-1,128557,-1,120041,-1,-1,-1,97821,-1,-1,-1,863537,-1,191669,642357,-1,171464,-1,-1,-1,-1,-1,-1,-1,275379,-1,90618,-1,-1,790715,118212,955239,-1,794411,987550,-1,809138,131846,642507,837708,-1,-1,254698,472701,340428,-1,-1,647,-1,355662,841563,-1,599916,-1,-1,118863,-1,-1,69671,-1,60004,-1,515381,541518,-1,358795,33904,-1,-1,857639,142984,307525,-1,-1,823736,237960,-1,-1,643753,-1,-1,-1,-1,146884,-1,-1,-1,958551,-1,-1,-1,359316,-1,-1,397613,497198,-1,256845,368023,777267,-1,-1,-1,112702,-1,557786,-1,-1,384265,962479,785921,349941,-1,-1,-1,-1,473426,904747,244022,-1,659548,-1,472545,-1,-1,254890,501801,-1,555956,-1,-1,374058,19528,169650,-1,-1,855753,458331,246454,-1,312094,-1,631704,278381,-1,-1,-1,536119,568325,866509,893254,-1,21749,223724,568890,-1,226227,47928,-1,494390,-1,27150,-1,542327,-1,-1,128770,-1,525409,266037,-1,106659,785357,-1,-1,-1,-1,-1,797259,-1,229889,479693,-1,301901,-1,-1,575909,-1,-1,76977,-1,-1,-1,674400,793661,384950,-1,-1,-1,875412,988723,14989,154719,-1,269779,-1,-1,218000,-1,-1,-1,-1,296770,-1,-1,-1,-1,-1,-1,178656,-1,647664,759275,282466,980175,80933,857952,-1,536709,979650,611501,500969,-1,-1,102836,-1,-1,363857,129229,981195,241748,495199,-1,459971,-1,-1,-1,-1,820089,853693,985573,-1,576439,-1,597473,915405,497967,378953,-1,475242,-1,-1,181954,-1,801408,-1,158540,339147,509073,899077,-1,655658,-1,-1,107237,324273,-1,-1,869058,-1,-1,-1,-1,-1,-1,100303,629911,-1,-1,-1,130221,126876,458158,307032,-1,450167,-1,627959,-1,206130,-1,644976,290852,-1,56080,660086,-1,-1,353895,-1,622402,133163,-1,-1,-1,265934,7612,-1,-1,-1,-1,-1,-1,991561,453064,-1,477800,-1,291444,898426,958868,-1,-1,350059,-1,829836,541364,230628,234324,856115,207886,-1,-1,-1,301706,-1,-1,498897,-1,-1,796881,523811,841944,-1,966233,317034,-1,421663,71951,-1,-1,-1,397262,998156,320427,807286,499326,-1,686398,-1,133692,-1,-1,921943,-1,388333,-1,-1,-1,-1,-1,-1,-1,-1,252023,682877,152481,-1,179151,-1,-1,954580,-1,936325,-1,-1,-1,-1,-1,-1,945335,-1,977221,-1,-1,-1,-1,-1,-1,93054,720938,841233,-1,-1,485832,-1,-1,-1,-1,-1,-1,82094,139540,463140,-1,-1,-1,768596,855405,-1,-1,-1,-1,-1,790430,-1,861847,832140,86093,216831,168448,771642,415312,299466,-1,386785,947102,751705,953945,-1,178069,600215,250466,-1,950775,446138,-1,-1,103790,837771,-1,-1,402511,88118,-1,-1,75736,559873,-1,-1,-1,252058,311291,106497,-1,293848,280079,-1,474635,-1,387694,-1,-1,-1,60000,120481,525933,717662,-1,433566,-1,366073,-1,454917,114550,-1,-1,144053,-1,136425,-1,-1,891428,633674,-1,896750,658104,-1,724558,318440,-1,-1,-1,203232,688510,116360,878389,387963,836706,-1,592603,-1,-1,792002,-1,261065,618100,-1,560984,-1,-1,803157,25093,-1,-1,562472,-1,-1,79918,-1,-1,889794,-1,-1,914090,-1,796776,554832,-1,-1,266907,-1,980525,756933,418078,690144,565666,-1,-1,-1,-1,436875,217549,-1,-1,848766,-1,-1,890660,-1,131836,162685,-1,159757,587931,408795,2564,420489,574003,-1,754124,737428,-1,-1,-1,-1,480278,855478,687008,441427,-1,-1,775509,-1,746706,221757,365631,400737,-1,-1,851173,999368,-1,72734,709446,473507,-1,582896,565005,-1,718998,-1,41679,-1,-1,-1,96935,145537,807714,-1,-1,-1,203924,489765,-1,228075,706872,-1,629398,520984,837939,31482,-1,-1,725856,605451,-1,706038,-1,198501,-1,-1,-1,-1,846675,-1,419101,-1,415336,-1,-1,688260,-1,941677,-1,934422,877045,981025,-1,-1,607351,-1,44086,81368,-1,-1,-1,538397,-1,-1,780727,-1,246948,589176,164647,441971,-1,-1,832062,160845,-1,121746,718415,142290,-1,727614,-1,-1,-1,-1,201907,694621,209881,574964,511309,-1,548166,945763,167689,-1,622855,887524,-1,541827,845561,586766,903,861107,451635,-1,-1,-1,-1,398363,-1,-1,12461,-1,-1,-1,239544,744789,-1,887084,392422,78397,-1,-1,-1,-1,904951,-1,-1,-1,-1,-1,-1,369941,28644,982604,-1,351927,114868,752504,-1,866735,944328,835936,-1,-1,-1,156374,-1,981960,-1,-1,-1,455927,93707,584728,742695,151806,-1,-1,788371,711166,-1,-1,932527,462644,-1,-1,-1,807155,-1,113198,391361,-1,-1,-1,223374,650687,193171,-1,884999,592721,916379,-1,-1,-1,-1,187680,-1,-1,539917,-1,243621,733040,-1,498179,644528,-1,-1,402273,854044,436408,-1,-1,333993,-1,309267,-1,-1,-1,-1,454431,19653,854680,915022,-1,-1,-1,-1,-1,12698,-1,730291,877035,-1,-1,-1,-1,-1,-1,196815,569543,7648,996154,-1,-1,-1,227906,317559,235888,132275,-1,377999,-1,-1,-1,201463,-1,-1,-1,174379,293357,-1,-1,75365,162950,-1,46667,-1,165092,-1,-1,-1,926843,142084,870834,912393,969583,-1,790856,709146,-1,-1,871039,-1,-1,-1,473631,636940,399443,47069,975052,-1,636478,-1,-1,474373,509123,850163,62520,-1,-1,222774,-1,-1,-1,-1,-1,-1,-1,450641,-1,577797,399211,-1,69651,-1,-1,-1,-1,343184,-1,-1,672016,301238,-1,-1,595367,-1,-1,636507,799124,-1,-1,-1,-1,180940,-1,-1,360168,629432,-1,-1,-1,-1,-1,320525,-1,-1,-1,-1,-1,-1,980891,924048,-1,286639,-1,860917,-1,-1,-1,781682,-1,-1,-1,299323,-1,-1,-1,351097,171610,451445,933682,588706,-1,792497,116568,-1,-1,836278,780550,251329,-1,65853,347626,-1,60227,-1,-1,-1,831099,121076,-1,111392,594259,-1,117010,476092,-1,-1,-1,7248,-1,-1,-1,178921,839905,-1,-1,106816,-1,-1,-1,167859,-1,828738,-1,410742,663703,-1,515956,-1,-1,630503,125305,223213,-1,-1,921257,-1,961542,249504,-1,870082,-1,-1,495807,-1,304418,561118,-1,-1,53289,273616,-1,-1,192581,-1,-1,497649,617075,-1,-1,-1,-1,-1,99373,-1,-1,926057,-1,114919,977346,53834,31515,-1,-1,164637,180553,937879,432939,186330,-1,265348,322071,105055,774674,-1,189365,-1,-1,-1,876083,574991,-1,798902,-1,-1,-1,8951,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,939523,305349,539251,360416,-1,388400,-1,546041,772320,-1,-1,-1,70000,961601,242638,-1,571948,-1,-1,400788,350173,-1,-1,-1,766566,-1,998492,922420,-1,-1,843253,-1,-1,-1,778618,631295,102423,-1,325135,-1,53929,455473,-1,-1,-1,-1,712659,-1,587053,555739,-1,-1,-1,-1,774817,5170,-1,826163,-1,43655,-1,351747,-1,55309,839201,-1,594900,-1,729880,705970,-1,-1,164365,417272,-1,325530,809800,-1,135316,89819,-1,681602,198328,386059,631418,-1,-1,-1,-1,-1,-1,-1,475186,969764,-1,21869,-1,-1,14256,441727,688468,-1,861562,-1,-1,-1,477569,-1,-1,-1,-1,-1,-1,-1,-1,804401,-1,192663,693195,-1,-1,580042,509497,-1,623497,-1,-1,404734,362287,-1,975569,904528,329031,25227,-1,98063,-1,209517,160673,-1,460955,-1,188860,-1,-1,-1,735124,-1,-1,867748,-1,381340,631398,-1,-1,-1,-1,-1,22169,-1,799994,-1,915611,-1,-1,908386,-1,-1,-1,-1,-1,137967,-1,-1,828236,901810,-1,551732,871967,281430,-1,611440,962265,480108,-1,606740,815285,-1,590952,-1,672798,-1,386981,23095,548176,69979,-1,-1,824707,-1,-1,885910,-1,-1,-1,-1,650027,144681,-1,-1,-1,-1,-1,337326,116344,918093,668742,757199,-1,219763,-1,399002,725447,987967,206933,-1,785060,223537,178606,-1,-1,-1,-1,195721,897057,-1,419727,714325,-1,-1,-1,966362,569200,-1,-1,758565,634338,-1,-1,438168,-1,-1,-1,992097,883036,379123,-1,-1,270456,778704,-1,-1,276998,-1,703929,777180,592523,406446,-1,342400,-1,-1,-1,-1,-1,-1,913576,583478,529832,639069,-1,996954,778689,855574,-1,61426,-1,-1,885605,739882,-1,218015,-1,228273,478359,818725,-1,98222,-1,131461,538037,323872,-1,686271,-1,-1,-1,631341,-1,671639,473530,37203,-1,175446,151413,-1,918399,-1,26115,753995,323908,317947,-1,-1,248231,-1,430424,93177,-1,-1,-1,307137,-1,-1,908309,-1,659375,-1,-1,-1,781515,490912,-1,-1,663116,-1,-1,204972,497460,925151,350973,682744,380054,324426,368931,299321,-1,-1,209165,-1,473653,-1,-1,-1,-1,-1,684312,726918,-1,534753,434959,827993,-1,418779,528754,832499,-1,489656,-1,-1,587324,-1,277560,874542,-1,26154,641564,65081,497453,964268,-1,-1,763919,917458,-1,436248,-1,-1,-1,-1,-1,-1,668018,-1,8434,402503,-1,327422,-1,729402,-1,224641,-1,871540,48788,-1,992684,968733,-1,121415,688087,-1,-1,533321,-1,980441,-1,962955,87833,-1,966256,288588,-1,-1,-1,-1,-1,518947,-1,-1,-1,547257,919581,-1,633495,-1,50299,-1,516292,-1,131576,176312,-1,592404,-1,473411,357806,933436,-1,-1,262047,-1,401760,267816,-1,323521,255198,-1,346375,855459,946369,961245,291459,-1,-1,921524,391049,-1,-1,-1,-1,606889,415439,-1,23374,-1,503754,-1,507269,-1,576622,443982,442354,-1,-1,422805,67012,919240,-1,488869,-1,767458,948603,-1,17654,-1,650758,64484,-1,182815,91091,-1,785541,-1,-1,992868,322342,-1,495914,428393,-1,-1,-1,933777,-1,136394,-1,244642,-1,-1,-1,772978,255932,366374,-1,829524,-1,718828,475637,649057,615108,204323,-1,-1,518114,381352,965360,-1,-1,-1,216619,699509,104361,-1,-1,-1,63508,-1,734258,-1,679407,930830,-1,257645,6084,636921,-1,-1,621827,814643,-1,-1,109248,391487,490039,-1,-1,-1,420363,588015,-1,894053,-1,-1,-1,878971,-1,-1,-1,980023,509864,-1,450679,805254,-1,696488,415817,552216,-1,-1,468533,64107,78433,-1,135688,-1,-1,-1,-1,-1,-1,664111,50806,874053,970019,889590,-1,8471,-1,-1,937426,-1,89094,-1,955557,-1,-1,483922,-1,32177,-1,458786,164669,889561,557910,-1,-1,-1,-1,144439,214621,-1,-1,712902,-1,-1,-1,391510,-1,-1,121891,936373,681731,758547,840593,562647,674686,-1,-1,-1,-1,590466,-1,-1,-1,51137,-1,387757,-1,428932,-1,580986,-1,-1,249113,-1,-1,157764,342245,-1,701754,-1,-1,-1,912192,-1,-1,-1,775679,473636,-1,-1,-1,323146,512382,-1,58456,-1,541657,85012,-1,5197,531596,977507,14903,492838,7662,507526,122703,877826,338765,-1,-1,-1,-1,-1,138387,181229,-1,942111,-1,-1,13044,826592,121328,-1,-1,-1,69750,-1,-1,191740,-1,164675,476058,919361,-1,-1,884191,-1,-1,616056,616405,-1,772745,-1,152375,17059,202981,322968,-1,991497,325092,265455,-1,45695,977073,370997,-1,-1,-1,-1,-1,359397,-1,-1,260120,120212,958556,-1,-1,-1,-1,-1,-1,-1,628314,-1,-1,882310,575802,-1,791724,-1,-1,237789,-1,516750,-1,318747,973580,-1,-1,613336,-1,188335,465341,-1,804056,-1,758421,-1,114278,-1,175985,-1,687478,309209,-1,-1,630527,124977,477352,-1,-1,-1,-1,35037,-1,-1,355551,821857,-1,135350,853003,-1,-1,-1,746229,634849,-1,289001,971474,-1,620863,778761,-1,-1,206223,275827,-1,420234,188210,362408,328049,-1,-1,-1,573071,-1,338355,883418,-1,-1,-1,-1,300425,-1,645232,634442,-1,194389,-1,-1,-1,712100,878956,-1,606538,799512,-1,603758,-1,-1,-1,-1,-1,-1,933670,859981,42286,598033,-1,-1,-1,-1,687542,316550,443418,-1,965801,-1,-1,55282,-1,-1,-1,-1,18705,446749,-1,-1,-1,-1,578310,-1,-1,492667,-1,24060,-1,528383,596284,-1,-1,-1,521550,-1,-1,669061,887186,992347,553150,-1,306377,-1,149544,658119,-1,116656,-1,489124,-1,965001,195540,-1,-1,-1,-1,-1,-1,-1,-1,817507,-1,83244,801631,-1,-1,-1,-1,-1,-1,103538,-1,966851,-1,-1,32105,-1,145833,-1,-1,-1,-1,601267,-1,185487,486638,661798,967626,401042,-1,-1,-1,-1,606787,-1,-1,-1,-1,-1,-1,-1,-1,373854,-1,119378,-1,643820,455726,229172,599702,870602,778649,531540,378178,-1,-1,267463,624458,-1,976356,485395,301761,-1,870543,-1,-1,67369,184793,-1,854553,953878,-1,766748,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,648388,-1,-1,-1,-1,-1,159472,-1,-1,-1,711792,-1,506218,-1,-1,-1,324141,-1,775863,142986,-1,592414,109685,-1,405525,-1,744340,-1,-1,331917,-1,761445,-1,35289,385530,-1,285088,4262,-1,154475,-1,933933,407803,776084,-1,-1,-1,889229,-1,-1,-1,215265,747041,484517,837045,-1,-1,-1,-1,-1,743207,404115,-1,-1,556280,-1,322523,-1,316521,-1,621125,870983,-1,-1,642437,-1,90564,-1,602317,404654,331850,-1,961734,282303,-1,-1,-1,861070,826550,710646,-1,-1,-1,-1,-1,-1,72597,351276,-1,-1,-1,604519,297115,859735,566634,-1,-1,620324,-1,233725,664310,730242,-1,-1,-1,622535,-1,236586,-1,-1,670975,374454,-1,-1,-1,802994,61380,-1,-1,-1,-1,394999,681881,-1,-1,-1,223410,20955,75649,-1,790631,377640,-1,-1,138713,557939,189827,-1,889866,-1,-1,-1,-1,-1,952031,-1,-1,-1,-1,123692,562979,174514,839674,-1,195549,-1,584393,-1,799033,-1,194491,-1,-1,-1,30169,-1,-1,-1,282138,-1,842507,-1,40121,-1,-1,-1,-1,-1,-1,-1,628964,548651,-1,-1,-1,215002,566545,-1,284836,-1,420550,25377,-1,-1,-1,-1,68271,-1,520917,-1,-1,177425,603305,-1,218392,332741,509843,266388,-1,-1,897451,249667,-1,-1,378136,-1,-1,-1,-1,-1,-1,6890,752563,588918,-1,980220,-1,445019,-1,314191,958676,-1,937724,-1,888158,936797,357170,-1,-1,781459,-1,-1,-1,415812,450179,152865,-1,-1,-1,664347,-1,-1,32431,985247,-1,205135,-1,609406,28688,-1,-1,-1,-1,-1,-1,886416,-1,876623,-1,551131,966447,499567,946988,877987,289616,330043,788357,303371,-1,447346,-1,-1,-1,-1,246039,532100,383150,-1,-1,480456,403521,-1,-1,-1,479100,-1,92992,347580,-1,-1,139571,-1,979225,853561,-1,-1,995991,-1,926931,985339,795226,-1,523080,-1,-1,-1,940510,826510,-1,845275,725446,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,649867,96633,542131,989145,634443,-1,-1,624743,564831,651356,-1,-1,-1,-1,390262,-1,576073,-1,95794,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,999924,10778,821463,-1,749813,774015,399434,-1,454746,240928,65674,-1,881578,657275,-1,-1,-1,514083,-1,547959,-1,-1,-1,12021,-1,211732,796456,-1,403610,-1,579586,317884,-1,417052,-1,-1,-1,200160,-1,-1,211117,-1,-1,-1,918410,-1,-1,-1,-1,-1,415776,250115,-1,582804,472015,-1,-1,-1,-1,923837,45572,-1,-1,51686,294198,-1,345028,-1,-1,-1,42359,-1,-1,349274,540308,213474,582482,-1,37473,-1,11164,-1,232091,193007,549354,-1,-1,725137,-1,-1,104367,161523,-1,782224,-1,539142,-1,793655,466181,-1,-1,-1,215727,-1,952991,-1,-1,431848,307021,438285,527515,763197,-1,133605,894384,-1,-1,466099,857549,662135,-1,974411,-1,-1,-1,736016,810002,392454,-1,-1,-1,180367,982270,749402,-1,-1,733338,-1,354325,-1,117435,-1,842101,485930,212100,964829,-1,-1,-1,730802,354999,918309,-1,-1,-1,-1,-1,-1,13268,-1,420783,67067,874103,-1,-1,455389,-1,58731,575429,-1,-1,-1,580211,-1,686319,984848,-1,-1,117106,-1,-1,530342,-1,48696,-1,-1,181815,-1,-1,-1,30823,428215,729605,103846,299711,-1,-1,-1,-1,618322,813561,877470,-1,-1,168810,-1,26262,-1,-1,51067,763505,-1,-1,-1,95750,-1,71025,63398,61641,93679,157441,-1,-1,434422,-1,-1,-1,395441,649483,748084,-1,-1,900878,777166,-1,-1,427917,-1,82436,423780,389469,982868,-1,255606,-1,949837,-1,-1,260382,743216,-1,927842,344144,-1,275419,-1,708436,511128,-1,592582,-1,-1,-1,-1,-1,887356,-1,648520,-1,-1,572451,461541,128513,650240,252408,-1,829333,-1,-1,479197,97843,-1,629031,283244,-1,-1,-1,-1,-1,-1,-1,-1,-1,876272,164969,930142,179183,-1,816271,416632,804367,989837,806533,117548,-1,4843,-1,-1,728516,908108,-1,785821,57273,209241,-1,-1,-1,-1,-1,563737,561861,373371,614163,84735,-1,-1,-1,640154,-1,27207,632007,863044,651413,-1,-1,267496,-1,-1,-1,750942,72386,-1,102139,883263,306134,-1,-1,-1,361280,975125,15124,137461,-1,-1,718449,-1,31203,755394,131682,796261,161546,976239,-1,-1,2517,-1,501778,125748,-1,162837,664160,-1,692393,861023,-1,-1,884057,-1,-1,-1,276819,-1,297302,-1,421526,-1,403944,700158,400988,844956,-1,-1,-1,296973,-1,-1,318213,956103,-1,-1,-1,-1,-1,389835,175171,467393,150273,75221,716268,481350,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,196577,160272,932271,-1,312491,-1,1132,10607,654408,570460,-1,866123,-1,-1,-1,213810,-1,808188,146092,876977,-1,-1,-1,959682,171920,594139,260149,688577,-1,-1,-1,401046,223370,678235,-1,745736,-1,670795,431287,-1,440152,213720,-1,-1,374275,-1,524350,-1,269402,-1,992428,-1,-1,575730,398956,-1,856891,603954,-1,-1,312077,-1,-1,-1,-1,157780,135005,936086,187594,528900,344251,249461,60504,230578,441518,26765,298311,-1,308041,-1,-1,-1,-1,-1,-1,625382,-1,559064,-1,809308,233750,-1,264358,-1,637289,994316,-1,-1,853317,-1,-1,962617,600418,139659,-1,980054,824807,-1,-1,-1,-1,-1,787662,-1,734081,297023,413477,-1,-1,-1,-1,-1,445303,-1,43199,-1,182855,-1,-1,975367,504065,-1,979432,-1,427558,-1,820712,-1,682346,712447,487001,293345,-1,307432,-1,-1,-1,-1,588416,623116,824790,166140,80442,68876,751799,43867,874960,-1,523342,689606,-1,846072,-1,36075,831686,-1,665928,-1,609828,-1,-1,-1,31678,651190,-1,-1,477744,-1,6215,203402,507631,-1,-1,-1,62709,-1,263945,-1,768415,-1,-1,438334,-1,-1,-1,78091,-1,-1,-1,105816,-1,-1,554960,953060,921904,961853,596084,-1,-1,496160,775585,123913,775476,694769,-1,-1,881571,-1,-1,149102,700678,426616,188042,88067,650012,-1,-1,650073,-1,-1,632855,-1,-1,-1,610503,-1,-1,673830,108227,121532,-1,145699,733170,884874,371950,-1,-1,15924,384998,763968,155347,-1,-1,-1,-1,442421,-1,608458,-1,-1,589631,888157,-1,-1,-1,-1,-1,-1,561483,475841,952618,698144,-1,-1,78023,-1,-1,702286,-1,-1,-1,-1,-1,458929,-1,7740,-1,176393,-1,-1,821586,513618,921235,-1,-1,-1,641017,-1,963255,665301,-1,-1,768584,-1,72191,-1,-1,831925,-1,-1,-1,-1,-1,-1,99800,-1,165469,519146,-1,-1,156264,-1,450052,-1,-1,-1,-1,-1,912788,785112,999901,119830,-1,147376,664462,-1,715749,-1,71276,477857,-1,447874,-1,-1,-1,-1,770248,471016,-1,-1,-1,725516,423719,607772,121851,-1,631716,308642,822045,-1,-1,522,93677,-1,-1,-1,-1,184800,13275,600698,416781,375834,-1,507471,977764,213809,216801,-1,723330,172604,-1,-1,-1,960263,39653,486556,-1,-1,-1,-1,-1,-1,877123,-1,-1,456644,640267,868434,-1,299796,585671,369900,-1,196563,-1,346945,-1,470191,-1,-1,583160,262539,-1,347196,-1,-1,-1,309351,359469,356598,367976,526008,927467,-1,625716,606781,-1,254757,-1,775830,-1,901469,493773,-1,-1,-1,657817,-1,-1,-1,743195,-1,-1,-1,356842,812193,364081,605654,-1,185978,-1,-1,210943,524888,700720,765364,400355,3372,142159,750453,994695,-1,-1,853651,-1,-1,-1,-1,-1,267155,613939,-1,783474,-1,-1,178894,958048,-1,577485,-1,968363,-1,-1,449253,-1,-1,-1,-1,-1,73030,593977,-1,-1,430303,-1,-1,-1,-1,-1,-1,-1,399679,-1,-1,251431,-1,-1,478427,107093,742186,710169,92041,-1,-1,239401,-1,-1,-1,802307,60203,-1,341283,-1,-1,-1,707010,561080,644135,-1,-1,-1,325472,900841,893331,-1,669978,784479,-1,-1,-1,942903,881372,-1,966272,-1,-1,-1,-1,-1,-1,-1,494986,-1,-1,-1,678909,552015,11308,465336,717544,-1,-1,457059,724395,-1,596041,-1,720113,941122,457076,415544,-1,781198,128981,-1,-1,-1,-1,127496,563628,-1,-1,-1,-1,-1,-1,83596,249180,398847,442464,-1,-1,-1,-1,-1,414316,125452,-1,-1,793087,463517,-1,651941,-1,995056,-1,674086,-1,346554,-1,593876,840883,274498,554434,116826,-1,308471,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,501667,-1,886721,100448,-1,-1,879306,660202,846484,4160,-1,553365,869647,-1,575421,904516,-1,-1,187932,-1,591684,-1,-1,-1,-1,-1,227092,-1,-1,816432,680354,899457,-1,882862,483535,793253,-1,-1,-1,-1,596880,-1,-1,-1,547988,938082,174462,-1,881047,-1,572116,-1,800699,-1,-1,-1,-1,392901,816261,584344,-1,843819,517732,-1,85151,582598,-1,654844,-1,184834,586558,839642,22928,-1,806976,329258,-1,83699,507183,-1,-1,-1,976966,293068,-1,-1,527799,-1,639225,958663,-1,529222,837228,910844,-1,818217,-1,-1,841573,-1,-1,213634,-1,-1,-1,266609,101672,895371,835516,-1,-1,-1,-1,-1,880085,730620,-1,-1,-1,-1,174896,-1,850871,-1,-1,-1,715213,-1,-1,129966,935819,-1,926539,-1,-1,-1,-1,40423,307868,723608,790183,-1,397110,253538,854995,-1,458101,116900,-1,-1,705110,493742,467793,800637,-1,47764,643384,309237,-1,-1,-1,802571,-1,-1,-1,-1,931133,-1,-1,-1,-1,-1,350980,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,983465,-1,-1,761270,-1,-1,891878,-1,379324,751132,-1,-1,427375,444253,-1,435501,-1,-1,-1,338167,-1,949430,829639,-1,-1,-1,175136,98536,-1,-1,640760,829647,229004,-1,523974,589463,-1,303143,650551,919042,-1,736404,362053,418883,-1,-1,-1,-1,-1,812042,-1,-1,380082,-1,-1,777471,741395,-1,-1,33571,267833,-1,666972,-1,667244,-1,-1,529663,-1,803904,80528,-1,-1,542745,592499,-1,-1,846174,-1,217716,40735,916594,750349,-1,314637,447963,227535,528473,936974,836961,933903,461632,25012,835786,-1,-1,521668,-1,475054,-1,-1,452288,595626,-1,211428,-1,-1,-1,178066,-1,321071,-1,477853,-1,-1,867638,27888,-1,-1,525786,-1,844746,464702,-1,779985,-1,677995,91664,-1,-1,-1,624748,292498,376460,507287,-1,240986,-1,-1,-1,282390,-1,911149,-1,237223,-1,-1,-1,764813,-1,-1,-1,61146,106916,256468,121692,454952,296340,-1,-1,118400,-1,617055,-1,238779,210242,-1,-1,748479,-1,-1,-1,-1,-1,342612,-1,50203,831540,-1,-1,-1,-1,-1,447305,711002,81520,-1,577563,-1,369623,244197,110592,-1,263110,-1,892083,611194,-1,603032,-1,-1,-1,41743,694060,-1,942107,-1,-1,22164,-1,61284,-1,36822,-1,324868,-1,-1,-1,-1,-1,-1,-1,-1,437256,386196,660988,-1,-1,-1,-1,850830,802400,109761,761471,669376,-1,585894,50583,-1,-1,526024,-1,305865,-1,444987,-1,-1,-1,-1,-1,-1,762428,-1,691658,-1,-1,-1,-1,449508,189474,983169,522148,-1,-1,-1,-1,-1,155770,-1,-1,-1,746850,-1,-1,516700,-1,212364,-1,680529,-1,952849,-1,398181,91461,278044,779824,-1,-1,813687,-1,-1,-1,650059,-1,-1,849117,-1,-1,-1,168833,-1,536658,-1,638515,68272,999467,134722,344293,-1,974815,198606,-1,-1,406555,818119,554058,-1,281098,453125,250438,187773,24452,152803,-1,-1,-1,989575,-1,-1,-1,-1,176210,232806,-1,-1,763868,-1,-1,265237,654593,-1,-1,-1,840040,69719,109462,868840,39084,83041,826819,638910,-1,-1,397219,70981,343567,-1,-1,-1,560286,707369,-1,681828,711865,-1,-1,-1,731388,763295,-1,-1,-1,-1,858023,-1,912227,696367,308152,-1,57065,-1,-1,-1,-1,660579,-1,-1,434105,252970,603339,858570,-1,-1,-1,818272,-1,-1,-1,324843,284490,370343,929404,-1,734710,-1,414696,-1,-1,-1,995188,-1,-1,222026,-1,-1,-1,577036,340757,574566,157184,597941,-1,950513,239798,152142,738525,647668,101049,252467,-1,992734,256641,998046,-1,537497,-1,707837,338077,651025,-1,-1,219164,-1,-1,-1,35142,80611,-1,784691,-1,-1,-1,-1,-1,-1,347033,-1,981678,-1,651766,-1,376339,192383,-1,-1,357443,-1,-1,-1,-1,665261,672296,362809,-1,614028,-1,-1,-1,21917,854051,717687,694777,645483,-1,-1,195389,925647,-1,-1,7827,-1,-1,-1,517377,586039,213965,248020,73713,51982,73718,-1,865170,-1,-1,-1,222071,116817,259593,558911,-1,-1,-1,-1,-1,355134,-1,574979,-1,826472,921251,91637,-1,131212,-1,388020,930617,637568,692580,-1,-1,-1,-1,-1,-1,-1,-1,460084,-1,-1,595375,902159,665326,-1,551371,863402,606914,-1,408157,82675,-1,-1,-1,391814,-1,388842,-1,-1,107136,-1,931447,-1,397082,-1,458178,567550,-1,-1,756684,-1,267213,-1,146911,-1,36059,315934,968828,351039,324531,892581,874812,48222,-1,219059,532313,-1,-1,353108,-1,-1,-1,638978,310667,-1,-1,177421,422279,-1,514696,-1,-1,160691,-1,-1,96671,-1,47737,-1,-1,329529,72529,200816,547741,-1,258954,834450,-1,708180,944356,141482,-1,-1,-1,-1,375089,866777,-1,180,602482,262832,-1,-1,556415,927937,861693,-1,-1,263939,535279,-1,-1,924208,971226,-1,-1,137718,63368,-1,-1,123750,-1,-1,768887,-1,340891,793219,317964,-1,-1,-1,277821,268265,-1,-1,503910,148352,-1,815760,870600,-1,305871,314739,357026,-1,-1,393167,918552,-1,-1,152377,878887,-1,-1,-1,-1,-1,-1,-1,-1,-1,921262,754517,325578,468027,-1,-1,155406,-1,-1,351095,-1,81701,936009,-1,-1,454351,-1,654857,133330,533447,753728,871428,-1,723300,912147,-1,359215,46634,-1,-1,-1,-1,382396,-1,213248,-1,424046,792436,-1,-1,468981,-1,386920,343686,416297,333596,758179,-1,239949,-1,-1,-1,840626,-1,-1,436083,-1,8431,155667,-1,-1,497404,56422,-1,853242,-1,134642,776529,-1,-1,743698,92685,-1,409841,-1,-1,-1,286907,964950,430550,906268,-1,295751,-1,-1,357428,732648,470794,763219,788488,-1,-1,-1,-1,958381,862080,351149,-1,344253,525849,975453,-1,-1,307379,485469,467227,671318,147764,438870,71745,929834,414719,-1,383136,237722,917533,-1,-1,608460,481941,-1,705155,-1,-1,-1,157823,-1,-1,-1,325760,977850,-1,-1,551105,644660,118492,463571,251860,-1,-1,-1,191001,-1,84420,-1,352515,808257,-1,-1,-1,709334,529570,-1,-1,629020,639802,-1,916377,-1,-1,-1,-1,533821,820241,-1,343031,411565,805020,-1,-1,-1,868683,-1,129624,-1,-1,866297,-1,646979,662843,299634,-1,-1,363527,835869,-1,-1,611434,-1,852895,667989,-1,-1,-1,-1,137523,-1,-1,-1,-1,302559,612010,-1,-1,-1,-1,813358,153047,592286,-1,-1,968506,-1,-1,-1,466619,-1,-1,-1,264493,27353,450055,-1,-1,435803,-1,-1,257262,-1,-1,867337,260224,-1,689657,-1,-1,825580,126660,-1,-1,6876,-1,-1,-1,-1,-1,-1,-1,-1,-1,309798,197370,7427,-1,61267,204791,889683,980577,689176,-1,-1,-1,17324,218576,718683,-1,122248,-1,886442,545951,900348,-1,-1,669027,141708,177393,-1,794222,-1,-1,595398,-1,-1,400132,-1,-1,-1,862469,-1,-1,-1,-1,700484,-1,376328,-1,-1,437693,671244,-1,339228,-1,681265,429145,-1,470205,-1,-1,249428,-1,-1,158660,287492,-1,-1,-1,-1,102304,934145,-1,-1,-1,-1,-1,214139,729173,395096,588208,637297,500425,-1,707791,-1,-1,-1,-1,680839,-1,257839,89506,-1,-1,717755,928961,370466,330708,499141,920137,-1,-1,747670,-1,415268,865760,-1,-1,-1,167099,-1,-1,-1,-1,-1,-1,-1,6002,755566,569765,599765,449116,861803,127307,930183,584448,823839,-1,924695,616967,-1,662600,-1,182800,-1,21933,580191,-1,-1,63932,-1,27903,816455,100719,-1,-1,260808,216732,338616,-1,-1,782952,-1,-1,-1,-1,689789,941283,-1,68549,375083,-1,651198,-1,194894,-1,-1,410076,-1,89008,-1,28692,114061,317943,609368,178224,559696,482630,413784,422008,-1,395244,-1,-1,-1,-1,-1,-1,-1,148490,374259,-1,-1,388789,990662,134361,813578,-1,121508,-1,-1,892593,-1,-1,158579,428729,-1,701970,925552,98743,476534,59476,-1,-1,19000,-1,-1,-1,600194,-1,390374,987408,570008,492345,-1,-1,996005,-1,-1,877670,509683,140675,798952,-1,826736,127114,-1,531545,-1,-1,-1,591587,116459,966131,-1,-1,-1,-1,-1,88532,-1,651349,-1,283047,911265,-1,-1,-1,612525,-1,-1,136831,-1,-1,-1,691415,239025,410144,-1,389929,239574,942605,-1,-1,899279,733926,-1,423707,-1,-1,256173,335334,-1,-1,227027,-1,361235,62798,-1,391655,-1,-1,-1,-1,-1,112886,-1,-1,846733,-1,-1,396280,-1,-1,-1,-1,-1,499142,417168,-1,-1,774927,192866,-1,-1,655705,766196,124504,314759,739961,-1,-1,-1,651549,365720,420267,-1,-1,553232,226902,582173,324927,748769,-1,-1,-1,-1,966144,574907,439453,155162,-1,828555,12358,200421,348240,903676,-1,342525,-1,-1,-1,-1,539249,816224,565578,146658,277960,459183,-1,499873,272202,901773,-1,-1,438500,986139,309692,567636,-1,-1,-1,-1,-1,909746,-1,163538,-1,174883,-1,-1,-1,183227,-1,-1,-1,64726,785961,-1,-1,-1,832419,-1,-1,-1,727789,382197,470406,747054,12773,-1,96570,-1,-1,-1,813480,-1,352297,-1,-1,-1,45887,691998,-1,361304,664297,-1,-1,42156,-1,-1,-1,-1,-1,-1,-1,-1,-1,251020,96844,646557,-1,207777,307150,-1,647331,173124,781983,798226,502790,-1,25752,-1,818953,910198,506356,291224,-1,93471,-1,456125,-1,937657,603086,-1,-1,-1,-1,101596,830620,910422,-1,-1,-1,549281,159455,716335,-1,-1,935266,1371,-1,-1,-1,-1,470681,236765,227061,-1,138021,968766,-1,-1,-1,684317,159928,615746,766033,992888,769880,-1,-1,-1,-1,565444,-1,410751,-1,-1,-1,-1,-1,94561,-1,-1,507378,-1,-1,992237,680240,548540,-1,240393,442566,23926,-1,503555,633711,-1,-1,-1,-1,-1,242221,-1,183863,-1,-1,237323,700372,916700,-1,-1,503603,-1,-1,710391,385569,737985,139098,-1,130403,736926,554441,-1,245852,106600,-1,722280,-1,-1,394283,-1,-1,931168,296391,-1,-1,72486,701819,-1,370561,150432,-1,-1,-1,706807,793925,816932,887892,-1,-1,893768,-1,-1,511455,-1,400745,-1,621192,122608,-1,783938,861375,543979,-1,409096,-1,777864,462967,-1,298561,-1,-1,90764,761687,-1,229074,111882,-1,460919,-1,92569,-1,234265,-1,821465,897814,-1,-1,-1,-1,852807,269698,-1,839362,662796,-1,-1,-1,660690,32118,395894,784141,753126,-1,746543,-1,922153,684369,707371,375991,-1,-1,-1,-1,-1,999511,784667,852384,-1,268208,79831,383733,834520,96762,-1,-1,-1,420903,-1,241653,-1,-1,-1,-1,461179,561852,297575,-1,304872,-1,1321,750820,-1,870312,246096,-1,472117,-1,-1,918261,-1,-1,-1,-1,902209,-1,-1,815153,667502,-1,950656,578671,428895,983024,514080,-1,-1,829611,-1,-1,758357,296713,699852,-1,52394,659935,-1,228437,-1,-1,-1,277,581097,-1,726650,844478,170066,-1,765772,638410,239445,98485,-1,891668,14308,-1,40797,-1,69286,-1,396118,187502,-1,-1,-1,-1,892852,559721,-1,-1,515069,-1,-1,169983,979406,998685,974846,-1,508046,-1,-1,-1,-1,708420,-1,851543,677879,-1,442792,-1,507613,-1,932541,-1,-1,-1,-1,580627,-1,584590,-1,-1,-1,563885,499941,-1,898559,-1,982081,-1,865173,439996,593402,650509,245277,-1,-1,96788,-1,382502,-1,-1,510984,150712,-1,568451,-1,633690,-1,-1,210958,-1,-1,-1,918053,956592,578947,150683,-1,-1,265947,451979,865927,-1,217202,-1,-1,876796,586194,-1,-1,-1,-1,-1,-1,555989,-1,-1,-1,-1,-1,-1,921385,679929,-1,-1,269784,-1,-1,286623,-1,-1,359590,-1,-1,26631,593440,804103,160924,356277,580789,-1,384312,-1,224526,535595,-1,627358,706117,432605,533142,344903,-1,907918,185258,541250,497893,-1,304827,477644,-1,-1,-1,343128,27646,481022,108822,-1,508641,-1,-1,-1,-1,-1,-1,-1,981247,-1,694358,-1,555957,-1,420110,-1,264126,195652,-1,-1,786333,456964,-1,-1,-1,3378,-1,-1,976135,726617,698524,521990,69317,-1,-1,302038,89140,-1,-1,505407,-1,865680,-1,367647,799624,283208,694306,-1,626144,-1,-1,357932,601467,-1,-1,-1,-1,-1,127258,197187,936544,-1,408595,400970,-1,-1,-1,-1,-1,34114,-1,307787,-1,-1,-1,880207,712879,-1,-1,858706,-1,-1,-1,200662,-1,-1,-1,-1,950364,595008,590590,-1,-1,574349,-1,711289,930,-1,-1,-1,-1,209951,993249,524439,489936,-1,-1,-1,-1,-1,-1,577153,805422,-1,-1,783080,-1,-1,-1,-1,441745,260489,-1,675216,-1,191601,997216,104740,-1,538871,-1,34026,950161,-1,-1,-1,-1,14030,810672,-1,-1,-1,827571,-1,-1,241998,353279,-1,-1,128806,727555,-1,916324,-1,-1,-1,-1,138157,-1,-1,201395,992130,365198,-1,-1,948322,806710,-1,764619,-1,376942,-1,-1,960493,-1,265683,457829,9402,748445,488523,830325,83028,387838,685307,797633,851190,397935,335206,-1,-1,458719,464263,-1,323574,106512,-1,-1,907753,-1,541894,784407,260736,655531,730553,472311,-1,-1,866821,-1,366298,186789,-1,-1,147232,308553,-1,532530,186759,682607,-1,-1,293855,603318,988991,145503,549837,420163,942440,-1,723780,-1,692297,777212,-1,-1,-1,-1,-1,-1,-1,-1,945152,-1,496060,-1,829339,-1,-1,-1,-1,-1,783365,-1,-1,-1,715185,211521,55329,668803,477879,-1,-1,-1,-1,28511,-1,8237,462458,-1,-1,-1,-1,32794,-1,-1,-1,83805,-1,289593,-1,564672,-1,-1,-1,834064,-1,287000,-1,-1,694128,-1,-1,-1,697545,-1,819750,-1,71035,-1,301035,24411,-1,949865,-1,-1,646938,535462,353367,-1,-1,-1,-1,181103,976029,-1,374385,664008,-1,479756,-1,653900,564461,-1,493789,687247,400123,750653,422418,428687,808846,655689,-1,-1,736039,-1,204718,-1,-1,-1,-1,-1,-1,-1,-1,300382,749162,883296,444743,-1,181476,573373,-1,-1,-1,-1,779821,-1,859101,354265,-1,539299,-1,910875,-1,240910,615551,342371,-1,-1,-1,88753,-1,-1,-1,805534,66064,896062,-1,-1,-1,946331,-1,631830,-1,388835,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,71883,509758,527422,-1,416603,-1,-1,-1,487368,701933,-1,-1,-1,-1,421829,-1,-1,-1,-1,413679,964206,-1,665068,939442,945381,-1,-1,318980,119625,447890,-1,-1,-1,-1,484711,215889,-1,15795,-1,-1,-1,-1,364611,-1,-1,723994,-1,-1,-1,-1,-1,-1,-1,912163,-1,-1,-1,-1,-1,-1,827628,896692,-1,76663,351881,768196,403060,761865,-1,-1,849438,-1,166488,852058,-1,-1,-1,-1,742729,-1,-1,901571,509197,160439,-1,442618,198022,42315,279372,-1,-1,-1,674,219076,999232,-1,-1,777482,-1,-1,504678,-1,698184,-1,-1,917117,243680,457853,989983,-1,981992,-1,830046,-1,623259,303778,295177,771536,534757,-1,92195,-1,-1,-1,602931,-1,-1,-1,88398,440165,760821,-1,376313,-1,-1,563168,-1,438930,-1,930584,-1,262204,-1,-1,-1,-1,-1,-1,-1,-1,547431,-1,123046,993726,432362,-1,-1,-1,-1,993739,719327,-1,1758,925196,-1,795083,130687,716113,722957,997300,-1,703095,892640,335984,-1,683324,-1,238392,374879,-1,290344,561880,-1,589004,-1,11900,301200,274471,-1,-1,231102,994100,332616,613233,427935,887627,-1,-1,418384,-1,-1,-1,-1,-1,602215,-1,926172,-1,613604,-1,836751,478846,-1,171807,-1,-1,967280,407905,904943,878342,-1,-1,591231,-1,-1,958388,140721,279914,93913,491871,821589,-1,888505,469558,514604,295452,288971,621535,-1,-1,942653,-1,-1,-1,577629,987203,765864,-1,833403,-1,-1,149225,564710,98658,266577,-1,794726,519952,461977,560613,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,516051,-1,-1,-1,-1,-1,778298,430234,-1,-1,778324,-1,-1,-1,-1,-1,-1,777734,440428,-1,776310,-1,-1,960139,-1,84144,405150,-1,731234,-1,626571,-1,143267,982755,-1,-1,-1,994654,862901,-1,8423,964529,82361,-1,169102,-1,279182,-1,234526,-1,-1,388243,-1,145507,-1,731154,468067,-1,406440,99798,222439,-1,-1,952647,87723,355252,-1,-1,783579,304458,-1,-1,-1,936668,-1,57466,397717,-1,601032,776826,-1,713465,532483,472522,110763,-1,382701,-1,-1,450119,776793,-1,-1,354478,-1,376054,-1,-1,-1,-1,67913,134163,374818,-1,-1,-1,-1,542891,-1,-1,-1,146768,726139,867694,563770,792164,835522,29292,374917,-1,-1,828110,-1,-1,851970,895803,-1,461354,726623,-1,543449,-1,256327,-1,802975,-1,-1,-1,892474,861848,-1,683806,982306,88539,-1,4129,-1,-1,-1,-1,-1,-1,795751,653730,-1,-1,210450,113539,-1,-1,-1,-1,470510,-1,4470,426327,345087,829467,-1,-1,412135,847077,-1,872150,704681,265174,881762,588201,-1,-1,-1,-1,795916,-1,-1,712178,165273,-1,688528,-1,574502,108030,-1,148059,-1,819213,-1,-1,668557,314716,-1,545359,-1,-1,253630,-1,543497,-1,-1,406218,140087,907631,-1,254163,-1,962294,680059,957164,170700,678610,-1,-1,-1,988479,903186,419150,148050,-1,882407,282731,-1,-1,590789,551027,793017,-1,939139,-1,751295,233289,548351,-1,-1,684686,191444,819791,-1,400382,381637,-1,745514,-1,29178,-1,660006,191351,752818,-1,843265,-1,-1,-1,-1,971759,-1,670837,357795,-1,407206,-1,-1,-1,469172,52597,-1,777978,-1,-1,-1,20,-1,678833,370459,-1,251702,69295,582577,-1,530441,84935,-1,-1,-1,895447,211008,-1,574150,218276,-1,-1,514134,332662,-1,266505,-1,660504,73249,-1,954503,-1,-1,-1,494338,507906,718268,-1,-1,50178,-1,-1,496398,-1,-1,858958,-1,-1,-1,-1,-1,949532,841672,-1,-1,198432,250369,-1,59,846368,892679,-1,749314,188136,887037,577391,666900,-1,-1,-1,-1,-1,-1,-1,-1,243141,-1,-1,-1,506084,975856,581145,352120,287127,155215,-1,-1,-1,-1,55019,806136,506177,-1,934316,-1,380690,-1,-1,429481,992780,312511,-1,-1,359384,-1,418930,344891,-1,644055,749685,-1,-1,324139,-1,678010,-1,-1,-1,569462,-1,487578,-1,138048,-1,953664,644030,-1,387744,-1,77670,401778,621794,-1,-1,637401,947254,-1,811020,620246,-1,-1,-1,608273,203903,999772,-1,-1,498247,373495,974501,892779,187710,930864,-1,972605,-1,516771,718243,-1,-1,-1,404876,-1,705872,57189,-1,969164,230296,596834,102947,205078,-1,163879,-1,803902,545221,-1,341922,-1,-1,-1,103645,-1,-1,-1,-1,-1,-1,325915,-1,570181,-1,-1,-1,-1,183798,691581,-1,-1,-1,582786,432513,-1,935280,496482,-1,233934,-1,414484,-1,-1,-1,191670,312839,215101,523829,-1,-1,-1,574529,-1,198953,-1,917272,-1,862195,873704,-1,-1,-1,-1,506329,-1,581111,-1,-1,-1,306988,328689,336620,415389,-1,325043,-1,579968,782011,983222,-1,11446,885276,-1,965626,-1,921616,-1,-1,691254,291180,849347,-1,-1,-1,940449,227742,346309,616183,321939,859655,-1,150945,-1,912576,-1,961704,-1,908402,-1,-1,-1,405736,84936,-1,-1,967424,979644,294033,184154,-1,-1,868091,476490,651133,151988,936257,507783,-1,-1,587452,-1,54145,-1,-1,113854,-1,237723,697358,-1,-1,-1,-1,639254,411718,244481,-1,272332,182612,-1,-1,-1,-1,831163,955267,64244,-1,570229,-1,600672,-1,-1,-1,-1,454571,-1,-1,-1,-1,251994,-1,784574,-1,-1,-1,-1,-1,947018,-1,-1,-1,-1,447884,-1,556405,-1,252053,-1,-1,488234,-1,-1,-1,613183,177152,-1,105685,-1,-1,-1,-1,170771,-1,810995,284590,123101,655548,-1,-1,-1,-1,-1,-1,-1,37866,-1,233697,427858,322312,836436,-1,-1,327472,-1,-1,379792,346229,-1,-1,-1,194769,-1,191226,-1,-1,192376,-1,-1,717635,-1,-1,-1,494136,-1,-1,912249,62900,-1,-1,-1,-1,-1,62529,-1,856436,-1,968098,739214,364801,-1,40208,-1,-1,525902,-1,-1,-1,-1,851073,-1,612035,-1,841841,-1,759610,-1,559712,-1,626399,126848,83472,-1,553669,110497,247039,-1,-1,544520,-1,568029,716175,453436,75953,583831,868242,-1,-1,67711,-1,-1,246696,479385,-1,273442,29622,144115,380112,-1,-1,-1,645823,951261,544115,559000,724167,-1,7940,444974,-1,645375,761765,-1,602104,-1,864622,253611,-1,988414,2436,-1,851798,836944,-1,674761,-1,-1,908893,-1,986913,958822,-1,-1,129534,606934,-1,-1,712536,-1,678058,390844,546488,397736,-1,199346,-1,176420,-1,-1,82278,679467,-1,959198,271839,-1,68094,-1,-1,-1,292117,198390,763646,359659,-1,345513,474853,460888,623012,-1,-1,278673,161137,-1,28319,-1,853873,-1,-1,-1,914443,613931,833361,-1,-1,247286,-1,-1,662739,-1,643377,-1,-1,35660,752381,222112,-1,899744,-1,-1,158884,-1,511562,-1,-1,370879,825690,-1,-1,904349,-1,662615,-1,688090,-1,-1,808449,700710,34924,-1,141952,60706,461981,-1,-1,-1,395727,-1,-1,-1,-1,-1,921022,-1,-1,190165,718727,-1,-1,-1,643023,321327,306761,-1,119880,-1,-1,614699,932515,-1,92979,961903,946204,-1,525191,-1,45770,664147,280539,288279,-1,-1,-1,364495,-1,-1,-1,-1,948063,284476,586110,-1,-1,532430,-1,369533,230277,438572,-1,-1,-1,781196,886989,-1,39039,420314,-1,165939,-1,55020,257380,711341,-1,617005,-1,-1,-1,605572,640463,-1,589181,-1,300494,59946,-1,-1,-1,905202,-1,814865,-1,561462,164772,-1,-1,779736,200268,-1,634014,-1,815510,421347,-1,-1,935962,-1,-1,-1,287951,819748,133851,-1,-1,900597,-1,76368,652864,12319,-1,-1,513897,-1,988738,772324,-1,529933,904785,432957,863480,-1,569053,375281,-1,-1,-1,-1,-1,740791,-1,839771,773560,115270,618156,-1,689673,-1,-1,-1,395019,-1,374546,-1,391952,116542,572494,-1,572085,-1,317744,-1,-1,997546,594639,-1,-1,196427,-1,-1,422426,-1,-1,917933,-1,-1,-1,-1,590890,-1,-1,712312,141205,-1,-1,730343,-1,-1,877370,-1,-1,297350,-1,-1,-1,83317,266827,-1,-1,265877,400223,-1,715209,-1,-1,-1,-1,660217,-1,709478,-1,-1,-1,-1,133954,-1,783252,-1,698222,-1,-1,383249,182379,-1,-1,-1,652649,-1,-1,752885,529219,-1,591992,539538,-1,-1,-1,-1,-1,-1,-1,-1,519163,439848,346551,-1,-1,257466,494855,-1,774041,-1,-1,856998,-1,152951,912694,968909,878748,-1,884104,213650,12560,650393,507225,458761,870742,-1,-1,239087,257771,809337,-1,-1,996193,563369,764044,-1,-1,-1,544510,-1,-1,-1,-1,-1,737367,-1,260083,-1,272125,516269,359223,821152,-1,860223,155550,167047,78475,-1,425908,24501,-1,78333,-1,656609,567335,-1,401574,81940,909304,-1,-1,-1,-1,-1,-1,381277,76485,483729,932175,107816,-1,-1,-1,993352,123848,-1,833911,838470,711778,312989,150417,219177,-1,-1,-1,-1,349361,800993,195509,133509,892249,-1,-1,944334,-1,191101,277862,-1,-1,122842,-1,225880,-1,-1,-1,234838,-1,-1,224935,987400,177882,-1,741394,-1,500111,-1,-1,-1,-1,-1,779332,-1,-1,-1,743406,-1,748534,111517,-1,-1,-1,-1,-1,-1,123984,349790,777390,845274,37839,143747,952076,-1,-1,669621,-1,-1,-1,-1,625404,928686,-1,-1,-1,-1,-1,187310,847489,172044,149793,501332,575668,-1,-1,681892,-1,856778,-1,845357,-1,677504,-1,-1,94468,161992,-1,-1,-1,643575,843297,-1,-1,707453,395202,634857,513908,-1,213892,-1,-1,241743,-1,505023,448587,364670,810439,-1,181507,-1,715733,733212,-1,-1,-1,-1,-1,-1,-1,121899,876532,597471,-1,-1,369863,565436,528035,372823,-1,-1,172747,574544,-1,188134,181463,479855,148851,29529,-1,853164,-1,-1,150225,468847,-1,-1,-1,-1,799141,715699,-1,-1,-1,458091,834527,-1,579364,718986,430502,-1,646092,-1,-1,700308,629733,-1,-1,877894,-1,-1,435526,884270,733195,-1,-1,506293,-1,-1,-1,493804,222885,301756,-1,-1,-1,-1,-1,975970,267853,538416,-1,-1,10874,-1,-1,-1,551797,431285,-1,-1,-1,133411,390429,-1,136942,-1,927174,276148,-1,11626,161415,772500,-1,-1,-1,781464,-1,-1,-1,-1,-1,-1,-1,-1,532000,-1,-1,-1,-1,401216,324633,540401,726964,947951,-1,-1,-1,146846,256631,47039,-1,-1,1415,393357,-1,-1,-1,-1,-1,-1,142739,-1,-1,20420,124315,691127,-1,-1,921416,-1,-1,-1,770166,561361,757862,752405,26730,-1,253302,-1,-1,720202,118122,-1,296257,-1,627360,-1,955540,866183,-1,-1,815772,23874,-1,19455,-1,169692,928301,-1,-1,461105,714178,-1,971929,682356,326567,-1,-1,-1,-1,-1,-1,542095,94598,-1,-1,-1,319895,-1,-1,787453,931000,667558,702488,395871,983745,216734,-1,-1,787334,-1,-1,-1,868489,195160,871942,321024,-1,-1,876995,-1,473941,399994,-1,-1,-1,878152,-1,455150,938616,280926,231176,282996,-1,-1,-1,904350,-1,-1,-1,694670,-1,633930,539433,813970,26965,569624,552335,-1,-1,-1,823489,649040,-1,415856,-1,471980,634815,-1,520945,408245,-1,558863,-1,46416,-1,-1,989903,416609,562928,-1,429229,641088,342784,-1,-1,-1,112303,121118,-1,269130,-1,947353,-1,-1,-1,-1,101456,260595,393096,195318,-1,-1,272248,-1,-1,-1,-1,-1,947743,-1,-1,251435,-1,136949,-1,-1,990224,179199,-1,-1,241309,652483,968377,886563,359786,672534,-1,-1,868786,-1,-1,-1,-1,-1,876873,783251,-1,959841,-1,-1,57899,-1,348179,896078,-1,807526,-1,884043,-1,818430,-1,-1,-1,-1,-1,-1,376190,-1,868938,565315,128720,167487,408770,746967,-1,-1,-1,-1,-1,711184,-1,814806,641638,562617,-1,-1,-1,-1,786166,-1,578395,677622,712016,-1,-1,-1,685280,707697,-1,506361,-1,49356,555500,178871,-1,-1,-1,896619,-1,-1,221805,432675,274399,-1,-1,117360,-1,-1,943799,270798,-1,660805,778736,706090,-1,-1,507047,311893,-1,-1,-1,-1,-1,728921,-1,189141,-1,469755,-1,13934,344373,-1,-1,737492,888375,-1,-1,-1,-1,197177,343360,-1,-1,805573,-1,-1,737081,329048,-1,874425,541772,426489,327482,227241,321836,724471,-1,-1,274373,-1,292886,-1,343894,563950,581990,415052,-1,414755,450098,823651,417973,-1,661647,852077,945397,17974,-1,972317,-1,-1,-1,-1,-1,-1,-1,-1,296926,43482,256852,9296,650944,676880,661485,65539,-1,-1,-1,603741,419994,-1,772786,196715,-1,980519,979497,-1,-1,-1,498296,228066,453139,-1,213063,237759,512900,80426,-1,-1,785126,-1,317812,580124,622378,-1,-1,-1,-1,-1,-1,269244,-1,-1,-1,-1,919658,615121,7978,-1,895726,-1,832689,686593,-1,335829,103105,-1,-1,-1,532702,522170,784168,531752,175789,-1,903888,-1,-1,802380,777622,939696,-1,970298,-1,-1,-1,331123,-1,-1,-1,74571,-1,129035,414973,-1,565753,59737,972860,386658,593431,118235,922171,-1,425453,-1,92120,536098,482710,-1,-1,379097,-1,77820,-1,990212,-1,-1,-1,-1,-1,-1,-1,-1,450194,-1,907596,-1,-1,-1,-1,-1,-1,-1,319204,-1,250974,-1,-1,293354,-1,-1,311073,248648,543866,415615,-1,-1,-1,-1,-1,108079,639282,-1,-1,795120,-1,686569,-1,-1,133064,-1,-1,-1,225308,-1,372931,-1,-1,754221,372431,-1,-1,-1,626711,-1,78513,-1,374051,868639,-1,-1,-1,234404,619637,602828,295910,-1,242381,704958,-1,316602,-1,433238,726441,265080,-1,712816,29992,310371,-1,697371,356412,-1,-1,-1,145408,366733,122075,644817,-1,466880,-1,62674,-1,-1,-1,-1,-1,-1,682351,-1,-1,822918,-1,-1,667985,-1,150030,759658,93078,889236,-1,231878,24677,131199,-1,220678,516152,878633,23642,545472,-1,433511,689089,747383,-1,-1,264870,-1,-1,540527,-1,980060,-1,49720,-1,299635,958578,-1,799918,35165,-1,-1,866656,-1,228306,-1,-1,-1,-1,211621,4437,-1,-1,-1,202916,-1,-1,-1,108436,299441,711250,419109,341939,-1,571416,-1,-1,521419,-1,629291,84524,751885,-1,521850,344833,35390,-1,129861,216929,-1,505851,814778,-1,494220,391031,553484,807414,432771,252791,-1,641945,205510,350650,875780,553862,-1,617404,770537,963229,263246,-1,-1,-1,588146,-1,114952,-1,-1,-1,-1,316146,229485,831908,-1,672617,-1,314449,-1,-1,631784,-1,174798,249891,540641,-1,-1,547361,-1,529634,-1,-1,-1,-1,898937,-1,927860,754061,949619,373524,80691,720717,151677,492034,-1,680911,-1,274218,574949,-1,71542,664909,-1,-1,-1,-1,-1,-1,174885,307172,929787,269315,784790,-1,502433,-1,448862,-1,-1,293654,-1,-1,541260,-1,-1,-1,321157,201951,-1,143770,-1,-1,-1,256503,-1,446948,-1,299261,141361,-1,-1,-1,-1,934502,-1,443590,810982,253932,-1,58873,913253,-1,-1,-1,617226,838444,-1,267777,436927,-1,-1,81711,-1,-1,-1,-1,-1,-1,-1,389300,916007,532517,-1,658954,-1,947745,-1,-1,725839,-1,-1,884903,-1,-1,656512,-1,974143,-1,546541,629081,910944,-1,659760,75890,-1,781089,183979,-1,400941,193629,304104,193991,-1,-1,-1,-1,-1,-1,103976,-1,497212,-1,-1,-1,291940,107160,929666,-1,-1,-1,646605,66732,55325,-1,444766,-1,-1,-1,-1,-1,704967,-1,-1,511491,177264,351153,-1,448728,-1,906296,-1,-1,847241,390791,354310,-1,65529,-1,-1,634462,-1,-1,-1,-1,-1,-1,976891,-1,945892,-1,567051,441943,-1,-1,-1,558248,-1,-1,832748,976852,504993,787673,166004,262695,371852,251099,-1,-1,20834,833970,-1,-1,-1,-1,597727,-1,-1,124631,-1,-1,-1,341864,-1,389672,-1,-1,723241,320708,999954,-1,965451,-1,240484,-1,-1,-1,-1,796766,-1,-1,-1,402238,469786,9523,153643,-1,725405,178911,22195,306201,869166,134640,-1,944023,665309,-1,496436,-1,-1,225789,-1,-1,255875,665689,786669,50061,-1,-1,-1,261378,442226,-1,785792,363554,696540,-1,-1,-1,985194,695312,746917,-1,263797,-1,537971,2898,-1,89216,31081,-1,151846,-1,810819,-1,203065,524066,-1,-1,-1,623717,791157,-1,299609,941296,-1,578485,443559,-1,-1,-1,-1,-1,90422,973400,942213,100819,-1,-1,869231,288313,716214,-1,615198,711038,350974,-1,326721,-1,706083,-1,-1,-1,107299,228947,715735,360154,3607,426238,941356,175710,201439,630761,-1,-1,232230,-1,873393,-1,-1,-1,163195,317457,701542,-1,-1,359765,425308,163069,679858,-1,-1,-1,-1,936798,503449,-1,761535,-1,960384,560131,-1,700753,218542,568559,849274,-1,-1,-1,-1,-1,-1,-1,839966,976594,-1,827529,-1,104770,69805,-1,-1,-1,890021,-1,-1,533816,615291,-1,-1,-1,-1,8403,905729,26277,-1,-1,-1,-1,93602,303007,-1,-1,-1,929033,277186,-1,-1,472237,845547,-1,363808,468754,-1,-1,-1,561107,62779,688550,495548,434656,-1,-1,997235,382282,-1,102665,157767,243376,-1,-1,-1,-1,-1,776026,620272,-1,-1,588456,-1,-1,-1,353910,-1,943297,172682,57844,-1,401292,-1,-1,-1,815123,-1,487491,571105,263839,528410,-1,198583,-1,199806,377681,928529,335734,-1,261673,594273,-1,89013,-1,-1,377536,-1,840664,-1,-1,514789,-1,-1,782566,703077,812307,263287,892710,-1,-1,-1,611981,497647,-1,-1,976702,-1,544496,551487,-1,-1,-1,-1,255322,-1,555986,907995,-1,-1,-1,593368,-1,281565,-1,-1,-1,753666,1468,-1,-1,-1,4268,252122,773233,-1,-1,-1,-1,863853,904810,-1,-1,-1,-1,513429,11004,68190,-1,-1,227594,-1,-1,860033,-1,-1,300060,-1,-1,-1,295334,735165,-1,-1,533556,-1,-1,234430,634380,-1,-1,-1,888466,723210,314833,850762,-1,240798,890622,509786,920698,-1,741439,-1,973132,404806,241829,596202,261585,34884,-1,-1,170304,912288,-1,-1,69758,977307,507239,-1,913437,601204,-1,-1,-1,-1,752997,900769,-1,-1,-1,-1,-1,280660,105429,995436,588235,-1,813350,-1,-1,-1,-1,674779,650998,55346,-1,959304,-1,-1,659538,-1,726157,-1,43597,34334,991926,234603,-1,-1,-1,584028,-1,348922,788049,-1,-1,502025,629102,468128,-1,778544,-1,175417,-1,-1,113146,-1,-1,-1,941163,-1,122928,266528,310643,-1,-1,-1,-1,409369,-1,307901,644734,-1,-1,-1,842070,-1,-1,-1,447584,744689,994981,834583,786550,868059,256911,982738,301449,-1,686980,-1,857419,-1,-1,180962,-1,194935,679049,93351,-1,-1,-1,-1,312081,-1,-1,965693,232980,-1,814932,-1,-1,133745,-1,-1,-1,-1,493975,-1,-1,-1,358922,817145,353700,898429,66115,6971,-1,823359,115922,-1,477058,-1,-1,19163,-1,-1,426325,544965,162381,766152,520064,639746,-1,-1,-1,514096,-1,871803,674218,549545,-1,483735,-1,591966,-1,-1,954630,787805,-1,309403,-1,-1,602005,-1,825679,-1,666696,494238,860679,-1,-1,-1,499396,851835,-1,-1,-1,-1,-1,-1,410590,602389,-1,858120,-1,746851,320387,-1,392176,-1,-1,-1,-1,-1,513501,111275,292278,-1,-1,-1,-1,-1,989785,-1,100465,757072,329172,65488,721492,587978,-1,-1,495696,-1,-1,-1,-1,-1,754963,-1,612848,436205,174175,476778,194075,917934,-1,839295,-1,865702,598734,-1,502435,-1,-1,-1,-1,602369,-1,488701,-1,484583,179699,607204,213814,-1,477232,-1,-1,136991,-1,793193,-1,-1,205184,446313,-1,-1,679437,-1,777656,-1,-1,-1,-1,532171,-1,-1,378288,43651,-1,831825,-1,462159,725626,666860,784959,-1,-1,164336,148278,-1,487899,855657,164300,701331,-1,644558,-1,205036,-1,971054,-1,-1,922640,350953,-1,824974,-1,-1,800264,5882,-1,586695,-1,-1,-1,-1,-1,-1,-1,372070,730249,-1,-1,-1,645448,-1,521805,-1,728173,118683,490000,992972,-1,539428,-1,514490,704724,-1,-1,429649,-1,799566,-1,-1,-1,517579,244455,680350,735283,-1,437851,-1,-1,951105,-1,-1,380081,-1,249169,-1,656471,474513,588726,-1,98880,859639,17650,-1,275817,-1,-1,192936,-1,-1,403124,86941,-1,645929,156641,-1,-1,808306,-1,385333,-1,523335,208238,-1,-1,-1,400163,313510,479212,989281,171834,-1,-1,531041,-1,-1,533882,234533,190581,-1,571596,-1,-1,207463,126262,712438,960335,-1,-1,-1,-1,-1,984194,-1,-1,-1,200089,-1,-1,464658,-1,294359,153832,-1,286418,-1,26713,-1,-1,124057,-1,888507,746192,489620,303341,168554,970992,586865,-1,316635,-1,-1,-1,-1,670824,-1,22075,-1,-1,910597,-1,-1,86656,-1,635705,-1,-1,312395,-1,948735,-1,-1,-1,388454,-1,-1,-1,197924,522335,-1,527283,153816,957608,896400,-1,222568,9517,785545,-1,824893,715887,-1,243329,-1,-1,638790,19429,875997,-1,-1,-1,-1,-1,309849,-1,-1,-1,20330,-1,740843,-1,-1,-1,773329,-1,634059,338357,490032,536281,50220,706949,270767,-1,723749,-1,-1,691413,-1,822737,826616,689498,106739,-1,-1,839793,195959,907448,-1,799529,-1,761262,777246,-1,723436,446821,-1,-1,778046,-1,261076,-1,282048,-1,-1,-1,-1,938866,176681,-1,-1,805161,-1,260444,126522,769456,-1,918034,567390,227429,-1,-1,-1,880030,-1,472404,221527,610265,-1,287689,605462,248383,794644,331121,-1,961503,-1,241431,-1,56313,200423,-1,217803,-1,-1,-1,143309,-1,-1,-1,750484,250335,486299,901718,95678,342845,-1,341648,-1,-1,-1,-1,450871,-1,795414,-1,-1,91902,695210,-1,-1,-1,658768,-1,485125,309241,-1,444156,-1,440938,47971,-1,152637,-1,-1,-1,269774,244524,580362,537939,-1,815582,600001,-1,539108,-1,39586,374896,-1,527821,-1,956987,574549,345595,-1,926219,837620,-1,-1,537483,684445,10584,-1,986058,617743,639575,-1,525653,-1,355844,-1,185829,762084,-1,265875,-1,583826,724575,-1,864117,-1,916898,-1,-1,-1,-1,-1,-1,364675,788344,-1,787314,149644,114724,141167,-1,397553,-1,-1,489732,107686,-1,-1,-1,122096,-1,176543,930779,-1,-1,-1,-1,-1,314280,-1,-1,-1,126674,-1,511353,244662,375752,586736,-1,-1,792302,446719,-1,-1,433429,-1,204929,-1,188039,-1,417298,346457,214988,296095,-1,-1,777703,918173,-1,284407,948009,-1,785441,-1,913078,-1,918293,-1,88621,-1,195377,755913,-1,992145,-1,-1,-1,746359,559162,-1,-1,922541,-1,858042,-1,77668,-1,886762,226523,388683,613652,-1,-1,869147,-1,950913,-1,-1,-1,-1,-1,685543,-1,321170,-1,321069,-1,135013,239026,-1,-1,508558,-1,626343,746450,961322,830443,681530,724185,992318,219597,-1,736989,214024,-1,767104,769447,395817,-1,-1,293070,-1,-1,-1,-1,-1,-1,394710,170378,706005,-1,638024,-1,-1,-1,433367,516128,175865,-1,398189,-1,561188,-1,267880,70596,122943,402800,924269,124227,-1,-1,612590,-1,-1,-1,-1,-1,-1,-1,291394,222386,743376,-1,313316,880255,16060,922903,768256,231192,45180,857127,-1,664176,-1,664951,-1,-1,-1,-1,747765,539215,-1,-1,-1,-1,860481,-1,-1,58302,-1,299430,-1,-1,-1,118329,430031,-1,785711,-1,-1,-1,-1,426386,-1,-1,605805,447138,45586,28040,739972,199533,640621,377703,799427,-1,511418,-1,-1,-1,234463,34266,-1,871105,-1,-1,-1,-1,527047,-1,-1,707716,-1,-1,375311,-1,-1,51447,-1,-1,-1,327852,41879,-1,195466,-1,-1,-1,-1,655450,-1,943597,-1,-1,-1,-1,-1,-1,241621,-1,136389,-1,435774,-1,-1,-1,-1,468530,650664,-1,-1,-1,693049,-1,-1,660554,879575,-1,743393,74545,-1,-1,-1,865,-1,-1,483880,-1,776935,-1,976714,-1,-1,-1,-1,-1,645471,-1,-1,5367,-1,544663,280710,259323,-1,-1,-1,-1,-1,763226,634534,-1,-1,481383,-1,642781,-1,654868,205630,878176,906890,457877,305846,-1,571461,-1,33068,466511,506221,400236,-1,-1,148920,103212,417278,36033,-1,-1,-1,-1,426737,674629,-1,438823,-1,597316,-1,-1,-1,-1,191248,459270,-1,-1,224621,-1,83454,-1,50307,665386,784367,-1,981119,-1,136775,695052,-1,-1,579978,-1,243363,-1,-1,-1,-1,-1,150313,-1,793945,728131,255668,272663,23906,775968,-1,-1,165807,154319,-1,920521,878639,223071,-1,170477,808559,671790,-1,247099,597688,-1,921911,653203,285838,-1,53429,-1,-1,114468,-1,-1,100639,-1,881911,242703,558705,-1,891018,147129,52412,-1,422429,491149,-1,-1,-1,-1,928118,-1,-1,70589,-1,-1,30831,-1,693898,830607,820437,81063,665852,-1,412140,-1,698367,-1,-1,890880,179730,-1,-1,164825,-1,-1,-1,918164,-1,147463,9730,402843,-1,-1,-1,-1,329178,-1,-1,150176,453990,-1,-1,-1,46966,691934,-1,-1,102224,-1,-1,909912,-1,-1,-1,-1,-1,34696,184295,-1,-1,735524,-1,190582,-1,-1,-1,100952,94637,800319,-1,-1,540565,943236,244380,-1,262775,-1,-1,719708,386243,173158,113177,841210,-1,96265,447523,875145,-1,214119,350,-1,-1,196264,322267,314400,866831,-1,28304,-1,-1,96065,-1,222575,65626,881116,479934,-1,710077,-1,-1,-1,597993,-1,-1,696372,-1,160930,-1,-1,-1,-1,-1,-1,-1,-1,-1,712280,-1,941300,-1,-1,-1,877044,296541,-1,354531,789964,930553,-1,-1,-1,-1,-1,119567,607505,-1,-1,996330,31183,430547,-1,615197,-1,220139,-1,-1,393518,971032,-1,142823,-1,-1,-1,-1,-1,-1,470882,222015,327109,-1,950174,112589,32358,-1,347976,-1,975993,998152,371831,383982,-1,-1,915683,580165,881574,291536,104272,23616,-1,45836,-1,165704,638708,-1,234014,399799,-1,-1,-1,240256,879622,272886,-1,876985,861758,-1,-1,-1,69137,-1,-1,748065,262026,522407,-1,-1,795702,134835,414152,237317,-1,798911,615627,-1,-1,507306,-1,893906,609971,-1,-1,-1,-1,562433,-1,303954,-1,377038,975096,-1,989323,233511,-1,-1,341819,120912,-1,901043,-1,513851,-1,-1,-1,836188,31638,33158,664154,-1,81656,-1,790669,360731,257248,327331,861728,930740,-1,-1,-1,-1,-1,455649,-1,285020,497322,-1,402539,-1,-1,-1,724783,-1,241495,427536,761713,-1,553099,-1,243341,-1,258795,32630,-1,-1,-1,-1,383483,-1,2371,16471,74050,-1,-1,-1,147679,-1,771747,80063,-1,178609,-1,-1,923081,758601,-1,402045,-1,-1,75453,-1,291031,-1,15936,-1,823933,-1,34781,508738,12896,165640,-1,634409,61591,-1,160417,-1,796856,-1,-1,-1,-1,796393,410560,73212,-1,583950,874361,-1,843697,-1,60407,26970,-1,-1,-1,407016,230543,-1,364203,869878,262210,626619,-1,-1,168759,425992,542088,419713,-1,-1,113596,694895,124180,327416,-1,690391,-1,-1,485067,-1,98508,405332,852537,-1,-1,-1,667659,52044,-1,-1,-1,-1,-1,633133,-1,25684,-1,-1,946641,626713,-1,-1,-1,-1,758199,668847,-1,386211,-1,-1,-1,-1,418909,837563,77584,-1,111742,-1,656372,-1,-1,-1,469081,-1,689535,514501,300574,-1,340620,-1,166867,-1,-1,-1,-1,258226,934729,-1,-1,-1,886393,-1,139356,304173,-1,92504,482054,-1,68706,-1,295489,746215,510486,-1,-1,100178,213451,-1,755436,401626,622446,-1,235467,-1,538346,159374,-1,-1,-1,586450,452393,-1,254593,616393,-1,-1,-1,-1,-1,-1,-1,-1,797127,304123,-1,-1,385137,303236,386667,125561,-1,-1,969752,-1,446577,94332,-1,261266,-1,-1,-1,835076,-1,935463,-1,-1,-1,808967,-1,974430,-1,602987,-1,-1,666091,-1,99223,169620,-1,798409,-1,-1,764627,258505,118772,-1,-1,899639,-1,73822,-1,426908,-1,-1,-1,-1,876903,713758,-1,853165,-1,116630,-1,-1,540025,-1,-1,-1,173167,-1,-1,-1,805215,-1,739187,-1,466356,184535,378039,-1,-1,-1,-1,-1,-1,513220,-1,-1,617574,-1,630989,-1,-1,-1,376762,265170,919260,669163,285686,505998,830837,329199,-1,747806,52169,794681,-1,-1,950253,186467,278223,584138,343432,928182,-1,591663,521253,216820,264333,-1,676017,-1,684629,538353,915012,-1,-1,296740,-1,-1,-1,815238,910323,621433,293369,181074,996131,-1,94986,747420,-1,-1,-1,162623,78213,-1,435140,27721,-1,-1,198622,543640,424685,916375,153535,-1,-1,743187,-1,-1,459249,986598,399728,-1,287318,364797,-1,-1,-1,-1,-1,-1,-1,166126,-1,-1,-1,392300,-1,166657,583110,-1,-1,639461,-1,-1,-1,-1,673646,-1,907813,895378,-1,79478,115779,-1,-1,129984,-1,800746,-1,465060,621131,-1,702701,-1,724743,542352,-1,881442,681690,-1,128073,-1,-1,712499,329034,-1,700139,631480,346812,304117,-1,-1,308877,-1,-1,224624,917907,400201,587938,-1,507277,877473,363883,-1,384409,676336,-1,-1,783841,780005,-1,-1,626059,-1,267730,184920,-1,125011,716749,774616,-1,-1,127046,-1,-1,-1,-1,-1,-1,790528,635872,-1,-1,-1,718599,-1,894304,-1,-1,-1,-1,-1,624030,-1,44610,226502,712142,790083,275249,-1,709297,-1,-1,-1,-1,-1,-1,769587,287961,226720,248543,-1,37291,80962,-1,-1,349468,352125,-1,-1,-1,-1,-1,80682,-1,-1,367667,-1,-1,799400,360304,-1,37061,219608,589110,-1,38289,-1,-1,131615,-1,603897,-1,-1,676258,-1,713878,884135,976694,398528,865798,916596,310199,742992,-1,-1,-1,501767,925653,134688,739840,-1,-1,408834,-1,-1,-1,-1,-1,-1,-1,338911,-1,-1,-1,211801,-1,560329,-1,-1,-1,376543,-1,674480,764425,361463,41694,-1,731943,-1,-1,200631,-1,-1,-1,-1,588542,514184,554698,489579,-1,413339,61163,-1,-1,-1,696476,710086,205573,319281,-1,-1,890171,208029,-1,292058,542506,-1,-1,-1,-1,-1,617636,682191,-1,668638,-1,-1,-1,862449,-1,-1,-1,-1,182139,-1,392105,286104,738323,417292,329888,-1,-1,140827,443895,-1,-1,176879,-1,-1,-1,301552,-1,170407,-1,-1,664992,949029,788483,-1,415784,16839,-1,383289,-1,-1,413030,-1,156190,16578,-1,655725,-1,821750,20317,239612,400222,670050,-1,-1,-1,904098,-1,810485,582400,456711,573005,534094,191313,79408,-1,55137,472799,-1,444569,-1,-1,-1,-1,119585,-1,933555,-1,315316,834619,-1,-1,-1,-1,-1,607790,-1,379087,267152,442883,-1,509110,-1,-1,-1,614439,215064,-1,-1,-1,-1,-1,254112,539192,-1,846990,-1,-1,-1,816672,634512,614463,-1,67892,-1,879047,938092,359794,-1,-1,-1,871862,-1,589653,2389,-1,791844,526215,-1,867921,874194,272871,372805,536016,598952,632936,573908,-1,101752,-1,380789,193286,286498,758148,679600,223749,729048,-1,987980,-1,289319,-1,239217,-1,-1,-1,-1,-1,-1,-1,644045,-1,-1,-1,-1,-1,311311,-1,394404,-1,-1,191163,482077,-1,-1,97696,-1,692417,-1,270097,425444,787770,-1,-1,836305,934208,-1,-1,893649,-1,-1,-1,203909,-1,-1,-1,536474,-1,-1,409706,-1,-1,-1,530572,-1,360780,819578,-1,-1,-1,-1,-1,696140,-1,-1,970780,-1,992651,-1,746537,48215,-1,943498,182229,140100,-1,-1,-1,-1,356184,518679,-1,-1,-1,615118,166223,838365,95908,263627,-1,301635,-1,-1,403221,-1,433985,86506,-1,-1,130051,737464,-1,-1,873682,-1,721382,-1,-1,-1,814202,-1,676226,280875,-1,971303,589793,-1,-1,378787,-1,-1,-1,677973,-1,-1,590116,-1,681529,-1,246618,918112,409594,334930,-1,-1,-1,965847,45556,-1,-1,666602,-1,261535,536047,-1,800902,412266,126529,-1,-1,-1,-1,665724,431535,503592,466028,-1,-1,-1,590370,101827,770868,828451,87665,-1,-1,-1,-1,288623,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,567079,36425,-1,-1,-1,-1,-1,-1,-1,507808,-1,615876,-1,25800,-1,-1,496617,20392,-1,471604,-1,422180,-1,332414,330245,620056,-1,65298,-1,718437,-1,129332,-1,807072,-1,791278,603821,620595,-1,-1,157916,535840,-1,-1,596354,73515,-1,-1,-1,-1,555315,594064,936867,169083,-1,-1,-1,-1,-1,-1,514780,944665,-1,-1,616443,193820,-1,-1,-1,-1,271461,961781,-1,-1,-1,300955,268992,671551,-1,594054,127506,481721,-1,-1,-1,23216,-1,515986,-1,-1,-1,184563,-1,-1,921098,399017,579433,-1,934324,-1,997037,-1,-1,-1,163357,94719,276617,-1,941485,-1,-1,-1,715502,-1,-1,629693,271198,-1,768558,733274,932929,400812,-1,103835,-1,-1,-1,102435,-1,-1,-1,-1,954684,-1,-1,163492,957915,832467,-1,527593,-1,-1,-1,-1,58013,437412,-1,62412,-1,793990,821364,406761,592234,-1,-1,-1,346164,-1,57435,840544,-1,-1,660874,555111,-1,134165,-1,-1,60179,-1,162155,-1,-1,-1,-1,209270,-1,-1,-1,-1,283736,-1,-1,62568,-1,143266,441067,-1,-1,-1,926202,-1,353487,745405,479594,83443,-1,-1,561857,-1,750201,739930,-1,-1,-1,104317,860419,-1,99755,-1,38956,962450,40163,814294,628411,-1,-1,413913,883895,50470,252265,-1,862913,-1,145281,-1,92740,-1,696379,-1,-1,162986,-1,-1,-1,-1,821448,-1,-1,780047,234414,80618,-1,-1,-1,966592,951019,-1,-1,-1,-1,379722,567365,-1,233583,-1,864989,-1,-1,-1,832379,378409,-1,-1,632382,673969,206082,-1,889192,372625,-1,-1,903644,-1,365218,856559,-1,752569,-1,-1,828395,-1,640332,-1,-1,93508,682594,-1,-1,776261,576462,-1,-1,410537,-1,-1,-1,204533,137446,-1,18254,682799,474190,-1,94084,584530,-1,-1,-1,-1,-1,-1,-1,590861,-1,842679,-1,-1,850101,-1,-1,-1,677750,974937,74885,-1,-1,-1,-1,-1,501929,-1,-1,554920,-1,780174,913466,222018,-1,241220,-1,185310,-1,365224,92934,282352,997329,376782,251675,-1,272061,-1,-1,-1,105583,803891,238376,782426,-1,-1,-1,-1,722173,-1,621928,-1,683255,-1,87939,-1,-1,-1,660001,-1,-1,-1,22467,-1,-1,984467,-1,2337,123514,-1,-1,609330,898733,964237,617170,-1,666922,-1,443929,-1,-1,266042,-1,-1,-1,-1,-1,-1,-1,865260,-1,-1,502861,828676,757222,-1,-1,980221,-1,-1,-1,-1,514031,-1,-1,-1,748772,597155,762413,207802,98691,-1,264788,-1,272476,-1,727806,940062,621400,906909,874742,-1,-1,-1,-1,170757,885172,17184,-1,550265,-1,-1,180445,621489,-1,208126,-1,-1,453253,855038,553590,-1,791800,456307,297986,833786,473652,152982,-1,713605,-1,680045,488457,-1,-1,876584,-1,-1,795498,-1,674739,268296,386055,-1,-1,-1,-1,-1,-1,72668,782471,-1,-1,55626,270644,-1,-1,-1,-1,374572,991748,428176,777556,-1,514694,716901,68380,46474,794380,-1,-1,-1,-1,622559,-1,416459,677768,261405,-1,-1,738820,-1,324005,507942,-1,-1,-1,-1,-1,-1,481423,815679,319429,-1,-1,256757,-1,-1,-1,951271,912782,353414,-1,258522,675980,-1,-1,-1,291151,144899,-1,172723,562476,-1,676341,85940,-1,373781,-1,760909,-1,-1,-1,522791,-1,669842,467221,-1,-1,257858,-1,-1,-1,729671,-1,-1,-1,272098,-1,127195,970960,-1,-1,865825,27136,-1,891529,210882,-1,-1,-1,-1,-1,-1,779520,-1,-1,169,189974,501331,-1,-1,394474,-1,895733,107107,-1,722626,-1,914161,271464,-1,-1,829252,846447,-1,-1,601196,721242,-1,806669,303638,-1,-1,372799,-1,366855,-1,-1,-1,-1,522226,-1,472269,455884,-1,-1,635235,133613,-1,-1,-1,-1,666455,961259,-1,-1,-1,-1,692296,831637,679238,-1,188786,440161,-1,-1,553445,-1,-1,912380,725084,400479,-1,61731,-1,662728,728090,943059,369961,468703,699840,923382,-1,-1,-1,-1,-1,-1,682044,907232,461911,384653,478084,990503,-1,-1,-1,-1,159094,-1,440696,-1,-1,-1,-1,-1,-1,-1,852925,-1,357039,999522,-1,-1,-1,-1,-1,154040,-1,-1,-1,990061,-1,-1,211176,341828,-1,920781,-1,591455,-1,-1,984020,-1,-1,847091,256984,818233,534894,-1,719802,522459,630994,-1,984329,288002,543256,-1,-1,-1,259773,-1,88495,476548,-1,519865,-1,75980,705036,-1,809743,-1,-1,-1,-1,-1,-1,634218,508651,-1,867480,-1,-1,770908,981975,-1,155681,-1,-1,598495,813511,-1,351495,-1,-1,357368,-1,848493,412924,179357,980189,937434,395493,-1,746209,-1,-1,-1,620659,-1,139346,-1,-1,599942,-1,-1,-1,137056,490351,-1,-1,-1,-1,-1,916899,-1,-1,-1,-1,-1,134970,-1,-1,-1,-1,893223,-1,387612,-1,-1,-1,-1,642024,-1,147626,410972,-1,-1,-1,323187,-1,631147,921014,574621,639251,899788,515461,-1,838253,249857,173365,-1,13041,470824,90210,566422,-1,-1,648312,349842,-1,298044,35733,140231,4402,287249,631672,84612,969300,633719,-1,-1,-1,-1,216362,-1,-1,478055,-1,-1,-1,152337,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,88996,920086,-1,334709,-1,-1,729427,-1,896433,-1,783049,64648,651437,352233,52708,-1,141920,446556,887726,-1,-1,-1,-1,-1,-1,-1,288441,-1,667693,-1,-1,-1,640490,-1,372808,-1,485490,-1,907029,-1,-1,402158,441953,569544,-1,44212,-1,708756,574708,368731,378102,297156,683542,742002,-1,7988,-1,512723,-1,197561,816040,-1,-1,-1,709530,-1,847290,953393,-1,-1,-1,254995,-1,524282,-1,-1,-1,-1,-1,487245,727638,-1,-1,-1,-1,-1,-1,-1,-1,741819,-1,-1,-1,742527,279615,82203,-1,-1,-1,462763,-1,-1,547026,722311,876703,-1,678143,-1,-1,496255,-1,892321,-1,-1,-1,273151,348911,468943,-1,-1,-1,-1,-1,476742,-1,400165,-1,-1,-1,981297,512592,184240,202615,-1,-1,952679,-1,449672,-1,649114,703987,-1,751842,-1,-1,734090,821526,801946,681671,-1,-1,-1,-1,-1,-1,-1,326182,449713,671813,-1,488327,-1,-1,-1,-1,64965,-1,-1,500659,524820,803418,-1,708795,884529,802974,590515,324694,725266,-1,-1,-1,-1,-1,-1,570697,-1,-1,-1,-1,-1,-1,-1,-1,845735,398802,301899,-1,311442,282172,-1,-1,152938,77206,-1,-1,908146,-1,-1,115873,-1,20584,401792,-1,-1,53027,368336,-1,-1,-1,333070,701980,-1,653300,-1,-1,471168,-1,-1,-1,-1,-1,-1,-1,762682,-1,252638,50457,818770,489716,134345,-1,-1,-1,449743,136673,920039,-1,696173,697789,-1,412149,901341,308886,-1,-1,426647,-1,220573,370128,-1,-1,-1,-1,866864,-1,774359,-1,199334,958024,360243,-1,-1,-1,-1,-1,812366,278226,-1,-1,-1,960262,-1,759228,426794,-1,750318,957741,326012,513783,765982,-1,596762,-1,-1,902846,950477,-1,49467,-1,534545,266775,-1,-1,-1,-1,524638,381200,-1,215100,983318,-1,-1,476711,-1,-1,-1,-1,-1,-1,617585,911966,590863,-1,-1,723477,-1,252825,723761,238466,755005,-1,-1,867184,-1,-1,131927,984297,-1,-1,316293,-1,154290,-1,984282,-1,587876,268847,224514,-1,-1,-1,-1,-1,-1,-1,-1,926590,765733,753,-1,791717,176938,-1,-1,435065,-1,342201,-1,-1,-1,983273,308521,-1,-1,738128,581957,-1,-1,-1,92116,-1,411962,888983,910974,-1,239680,443956,-1,-1,-1,-1,26856,809676,829196,431721,569067,487172,-1,-1,-1,-1,239420,-1,659365,573299,102231,-1,-1,736645,-1,939842,-1,499335,709300,185343,-1,-1,-1,54398,-1,961154,317657,-1,-1,-1,-1,-1,-1,284128,-1,220022,-1,795013,-1,310930,-1,501401,912645,396776,-1,-1,-1,-1,-1,957948,994636,-1,48845,831198,-1,-1,-1,-1,-1,169800,-1,-1,216813,-1,-1,33265,983991,-1,172911,-1,700332,-1,-1,398902,720262,-1,83476,800579,791712,678882,801865,-1,527868,921446,676633,-1,-1,-1,-1,10086,-1,-1,900531,-1,-1,-1,382479,786069,-1,209759,292684,-1,-1,170758,165740,459036,-1,-1,835509,-1,-1,901017,999859,524448,-1,-1,-1,-1,234792,505495,-1,379457,816182,349651,-1,-1,41058,-1,663363,-1,842836,-1,-1,555024,-1,969017,299454,223987,31036,586788,271835,-1,-1,-1,-1,-1,135842,632218,851930,-1,268712,763442,543738,592805,884069,59999,562428,457796,802387,-1,-1,221912,-1,827843,140255,-1,-1,750468,-1,-1,-1,394887,780382,-1,-1,149707,-1,328551,-1,476705,-1,676726,-1,-1,-1,317123,400467,-1,888407,12053,-1,-1,221189,-1,-1,-1,357006,-1,-1,200600,469339,-1,519904,111942,-1,579589,743712,532474,640696,528640,-1,544022,-1,-1,-1,-1,753917,106717,135986,-1,915677,806803,347925,683634,-1,20288,-1,479827,-1,-1,195222,134118,-1,924069,-1,461017,-1,429224,-1,-1,310475,628530,980286,985282,-1,-1,-1,-1,-1,16333,972696,-1,-1,-1,32681,-1,120791,-1,-1,-1,859437,896964,-1,251214,-1,31365,-1,547326,32517,75455,-1,-1,896380,-1,-1,-1,-1,223464,150790,-1,-1,-1,-1,-1,-1,-1,422092,-1,-1,640525,-1,126902,754179,-1,171405,-1,-1,137337,-1,-1,419190,-1,725404,796378,-1,-1,-1,515373,-1,917129,-1,-1,395104,-1,-1,-1,-1,815190,536406,-1,908471,-1,-1,641130,-1,-1,-1,491225,288151,-1,179697,197251,956793,-1,511072,617081,11184,103387,762875,-1,475435,564820,565870,264743,-1,-1,111797,165282,-1,-1,950500,458279,-1,-1,-1,840583,-1,-1,-1,548927,461219,385427,868238,-1,-1,-1,-1,-1,-1,-1,-1,990391,-1,589128,830163,582620,955411,-1,504680,-1,-1,521974,-1,342552,829359,876667,656643,513192,51213,-1,-1,9345,6212,794673,-1,621911,-1,-1,-1,625409,156423,-1,-1,-1,58400,12348,-1,-1,-1,-1,-1,-1,595893,-1,761067,-1,977746,-1,97855,787719,264019,229124,142676,170250,117448,-1,-1,-1,-1,-1,604295,1953,443120,410091,722417,220628,-1,-1,716146,-1,548153,-1,-1,383807,-1,275103,-1,106560,74349,-1,60097,-1,-1,43539,-1,-1,66416,-1,900046,-1,954990,418477,-1,514847,-1,-1,943337,-1,-1,-1,251151,48882,981714,-1,690864,322770,-1,-1,536430,-1,917139,-1,-1,225989,804155,-1,208503,-1,-1,135750,-1,891561,135507,-1,546406,-1,-1,286827,-1,1832,270212,190588,-1,480633,309617,247916,-1,311742,597598,-1,861439,-1,-1,695495,-1,-1,71386,840786,338440,-1,865931,-1,839772,-1,-1,204831,-1,163041,180525,825055,146607,-1,167352,-1,432306,-1,396392,731322,485882,432843,222062,-1,170122,-1,640559,428499,423537,-1,110330,109352,-1,44767,-1,-1,984079,-1,-1,897345,-1,-1,299657,-1,160611,211207,976127,69513,512608,745696,-1,-1,276989,850102,101111,428675,-1,995990,-1,-1,-1,-1,105211,-1,-1,77929,-1,216407,-1,237771,-1,751444,538112,489489,-1,-1,-1,-1,-1,-1,799698,91127,174395,171282,-1,167424,-1,-1,-1,371560,-1,-1,947048,-1,738065,-1,793969,245161,875756,311863,-1,-1,42606,838770,-1,843127,-1,-1,-1,-1,204341,878776,-1,-1,-1,-1,-1,350677,488401,417245,881847,147254,-1,-1,-1,-1,178560,-1,845282,-1,722256,824834,364012,-1,-1,192672,814018,359811,70218,518824,83325,877993,-1,317708,-1,608451,-1,962162,-1,599622,360810,-1,294790,396674,729669,587888,314899,519267,-1,841207,-1,-1,-1,573875,149124,-1,289798,203279,353553,-1,795093,-1,918997,201030,-1,-1,87450,-1,-1,920133,950846,-1,243857,873032,113283,245639,336762,417132,707597,200537,-1,469905,929945,860138,754673,-1,-1,-1,-1,671945,-1,315957,464381,-1,702004,-1,-1,378111,-1,-1,421512,-1,-1,-1,740750,-1,681625,-1,-1,-1,224468,-1,-1,-1,94888,-1,281606,210885,-1,872805,936040,44216,632895,620476,632898,600265,257028,624489,-1,-1,133810,-1,-1,979606,-1,-1,-1,338678,-1,821189,-1,267383,-1,95696,88221,51329,143759,-1,48992,-1,-1,69738,-1,896691,920230,-1,-1,-1,309174,224930,452823,194783,440579,497168,-1,-1,299150,-1,-1,-1,968942,-1,-1,-1,524896,865842,60368,-1,-1,-1,-1,-1,-1,-1,545518,-1,426563,995620,930300,126116,-1,-1,-1,329594,592367,-1,-1,782028,-1,476427,-1,5061,-1,753466,709638,528828,-1,-1,-1,-1,612361,907774,445168,743250,-1,446515,-1,530859,-1,-1,-1,167276,462257,-1,533983,715967,-1,-1,-1,490753,-1,-1,166787,-1,-1,-1,428586,668496,-1,-1,614906,-1,466470,-1,-1,-1,735758,436463,824769,594653,181959,-1,31322,867731,636630,-1,598914,-1,110090,-1,-1,-1,553000,-1,228090,-1,-1,-1,88864,507560,453219,545937,-1,202907,722986,-1,727862,565967,638198,-1,955708,387123,967509,-1,-1,-1,948835,360633,518453,636233,369545,125487,-1,-1,-1,-1,914984,146060,461249,-1,323724,498904,-1,174519,12837,50817,-1,-1,442652,-1,-1,77869,-1,550603,-1,-1,-1,-1,133488,22060,-1,-1,-1,635686,238937,-1,441326,-1,354900,259378,-1,-1,-1,-1,874716,-1,-1,987913,456321,370585,663435,-1,608790,-1,-1,80448,-1,621686,-1,410886,-1,838753,553201,-1,-1,672524,314325,662641,401858,-1,513998,680994,456949,-1,-1,142036,-1,-1,-1,-1,350243,474033,354787,256682,982872,991830,-1,842316,193359,773169,843133,-1,551686,-1,-1,516794,-1,-1,9753,845798,-1,819732,843071,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,269352,-1,-1,741535,-1,770297,121006,-1,-1,-1,404525,454091,162113,-1,-1,860533,828873,160632,-1,-1,-1,-1,815327,-1,-1,-1,700296,212831,-1,829998,-1,-1,-1,247688,-1,55562,-1,229083,-1,972053,27931,-1,-1,265072,-1,338104,-1,331650,720398,383309,-1,948894,-1,-1,669648,701930,-1,-1,-1,846805,-1,-1,-1,-1,788711,868131,-1,127745,44941,-1,916413,-1,-1,-1,-1,-1,-1,129299,166632,705829,-1,-1,788332,-1,-1,-1,678698,-1,-1,-1,397786,-1,-1,896930,-1,-1,725322,-1,-1,-1,-1,-1,433557,-1,471160,639331,343176,78300,-1,-1,374017,398156,-1,310262,-1,200761,149302,412101,-1,968485,-1,-1,-1,687479,-1,-1,916,-1,-1,-1,126907,-1,-1,194287,-1,-1,381207,218162,254135,398684,-1,691840,-1,836194,177607,655962,-1,-1,-1,796503,602140,-1,-1,263098,977241,450418,580709,-1,-1,-1,-1,-1,-1,-1,-1,-1,289320,216198,-1,304221,463432,386223,817097,-1,135368,314959,-1,-1,658554,809155,-1,-1,-1,-1,-1,-1,-1,694692,734629,246837,-1,-1,155493,-1,-1,-1,-1,620426,-1,274364,792569,-1,-1,23866,500381,-1,433026,-1,-1,-1,-1,-1,-1,245447,-1,-1,-1,682192,-1,709896,-1,171857,164404,-1,-1,218911,-1,-1,-1,-1,-1,895369,-1,-1,-1,443258,990936,811341,-1,-1,-1,24493,217885,-1,-1,481949,687900,-1,-1,-1,249595,-1,794368,-1,-1,-1,961445,-1,887169,-1,695503,657221,74795,755003,-1,704015,777241,216966,800194,-1,933369,-1,-1,-1,62584,-1,671210,862167,-1,-1,77337,-1,599149,312119,-1,99019,-1,389159,288469,-1,-1,-1,388626,-1,-1,-1,-1,765535,142402,912914,-1,-1,226217,493131,975744,-1,202042,132819,-1,-1,476284,924268,-1,817847,355430,689303,-1,506856,-1,505669,581384,22650,764102,458145,581027,-1,963009,701723,-1,-1,-1,244094,782674,162247,126779,-1,680653,263371,612531,-1,-1,-1,-1,273855,11146,-1,444198,-1,500007,-1,-1,-1,-1,14536,390016,327613,-1,710507,-1,-1,769444,877898,986613,-1,-1,249796,866899,607532,-1,583300,26035,441382,296481,-1,818514,-1,404573,-1,-1,153837,-1,293391,-1,317727,510692,-1,127328,627051,193552,866321,150337,-1,-1,-1,738505,807010,872244,-1,-1,899876,46497,840759,-1,-1,967532,-1,-1,652214,-1,396000,406294,738142,924243,379070,-1,-1,-1,-1,-1,928217,-1,446964,-1,128366,-1,-1,721106,-1,499796,544728,-1,-1,-1,-1,-1,371497,12831,-1,-1,-1,186405,-1,355210,-1,-1,197482,671470,452123,-1,130317,460805,-1,-1,-1,686374,-1,-1,393580,-1,900816,825401,124661,-1,416077,-1,865296,-1,-1,429450,-1,-1,349510,-1,-1,904320,-1,-1,683921,324666,240727,-1,439602,-1,779790,-1,633858,508512,-1,717630,745851,708369,-1,866898,430438,-1,-1,-1,556919,614674,948420,-1,95710,-1,369093,602742,-1,125492,147696,392702,498787,274532,-1,89227,-1,-1,42195,-1,-1,-1,-1,-1,908219,-1,-1,-1,657419,-1,224057,-1,265359,527021,398276,765758,48688,165115,-1,-1,606958,398855,-1,-1,-1,865595,-1,423614,173280,-1,726160,499213,-1,-1,655025,-1,-1,42918,-1,318673,-1,-1,-1,-1,-1,263755,-1,418469,-1,313226,896238,673245,5887,-1,-1,174761,57430,-1,907355,-1,-1,779425,190544,-1,-1,816335,-1,62892,713772,-1,511587,-1,1841,116536,812169,-1,337279,-1,-1,-1,-1,-1,262179,68660,-1,-1,-1,389475,718968,-1,821894,747519,-1,-1,-1,303166,-1,-1,-1,101489,-1,-1,-1,86711,-1,-1,396700,834837,-1,-1,237834,-1,264997,-1,154452,826531,-1,111968,717924,-1,677852,479723,818681,284733,-1,-1,290647,-1,-1,933820,-1,445385,943249,260024,212039,-1,-1,-1,-1,-1,936701,408047,467521,931737,-1,-1,-1,-1,-1,-1,595024,-1,808633,-1,851320,-1,-1,-1,-1,228508,16814,3650,488248,-1,-1,-1,-1,407042,-1,-1,-1,-1,-1,-1,604662,726610,-1,235232,512678,-1,942779,816688,439323,794912,-1,-1,-1,586483,362732,-1,-1,-1,-1,-1,499393,-1,-1,3028,9912,-1,-1,-1,-1,-1,-1,448239,17930,-1,-1,-1,331688,781575,723568,-1,682875,165587,-1,684298,-1,172468,-1,-1,650905,419125,-1,-1,-1,26255,26139,-1,-1,-1,189452,25050,-1,371072,427044,570300,955878,-1,-1,-1,241146,-1,69427,-1,690101,-1,-1,-1,-1,-1,-1,466656,-1,-1,-1,441822,-1,155391,954274,-1,-1,473308,-1,870690,349487,660198,-1,833132,-1,835949,161596,473515,-1,-1,-1,907190,-1,-1,-1,36156,687624,496182,-1,-1,411706,795447,213691,494548,-1,-1,-1,-1,-1,-1,-1,-1,-1,603950,-1,592170,374862,774818,883451,-1,994993,254336,882967,-1,367330,189984,885966,342161,121548,235946,-1,862666,-1,597753,821972,-1,517463,146802,483260,39035,-1,579987,586533,256534,307255,-1,-1,489710,-1,754401,201679,777373,-1,672802,12225,-1,-1,-1,-1,-1,386264,-1,-1,703748,-1,-1,-1,-1,838205,44594,-1,906767,-1,-1,443601,-1,-1,494173,-1,639755,966571,-1,-1,736140,-1,-1,346336,686313,-1,-1,-1,-1,221791,-1,918156,-1,-1,238963,88707,-1,186435,-1,-1,782154,368570,40933,172041,622264,956008,-1,-1,-1,720297,-1,-1,-1,734715,-1,-1,307281,-1,988720,599005,-1,681687,-1,253581,141894,35014,-1,509629,705864,-1,-1,-1,-1,-1,210995,-1,113321,-1,-1,-1,-1,986433,-1,715593,230377,148137,-1,-1,747140,-1,609761,-1,609436,-1,-1,-1,493479,-1,160202,-1,-1,-1,452808,-1,732086,-1,895779,-1,929835,384237,-1,560363,513775,395983,-1,-1,-1,-1,443800,556602,-1,170986,-1,-1,778206,177612,-1,-1,917348,-1,-1,-1,-1,66481,389740,-1,-1,-1,-1,483635,-1,-1,-1,234450,108943,101435,-1,609967,354729,-1,218451,-1,-1,-1,516812,934795,-1,-1,358402,655060,679492,-1,312327,-1,334134,491656,908646,-1,491414,423966,-1,-1,143654,-1,145188,826402,-1,-1,812143,289714,-1,620468,-1,-1,-1,-1,832529,-1,-1,126055,-1,-1,-1,59554,-1,-1,-1,110916,310623,31191,-1,330146,-1,53758,-1,-1,-1,-1,-1,-1,-1,196181,-1,-1,707526,-1,424993,-1,870192,-1,578769,-1,-1,350376,703082,-1,-1,447399,279080,-1,-1,-1,-1,832336,-1,-1,-1,622224,706573,-1,435262,-1,159905,879808,706731,-1,616984,31226,870784,728269,646840,-1,-1,808945,392819,-1,-1,497922,-1,-1,-1,-1,955270,734659,-1,645452,115601,240164,141693,707889,468781,-1,902470,21987,668285,304361,-1,138031,-1,843197,919663,704152,110836,57797,-1,-1,859702,236655,-1,245871,-1,-1,331568,-1,-1,-1,1334,-1,-1,-1,156188,-1,-1,-1,-1,-1,-1,240253,89337,-1,40583,-1,-1,537803,273654,-1,252749,-1,846758,-1,-1,-1,685240,614517,-1,696697,-1,-1,858105,456166,-1,13472,497105,-1,-1,917364,-1,-1,431194,67720,-1,416281,-1,496325,-1,988015,-1,-1,267745,141029,-1,559281,747551,-1,-1,883565,56976,309875,-1,420915,-1,630333,-1,174442,444345,-1,-1,235241,579927,-1,755521,719656,90025,257167,866338,721108,612815,974235,-1,-1,720352,903680,566488,-1,-1,742079,87621,-1,-1,406347,-1,97470,312001,-1,392190,36891,-1,680464,426775,11402,20229,337017,-1,450645,-1,420307,798755,-1,635562,842227,-1,774236,-1,-1,491514,991930,634394,-1,378675,811462,671826,-1,-1,710510,789803,126375,387133,628437,647982,843485,-1,401621,613551,430639,844206,-1,-1,36599,159505,417848,-1,409619,-1,317930,-1,24263,365568,316586,150917,700705,378476,-1,-1,-1,-1,-1,-1,-1,233345,768654,512354,449947,475160,-1,-1,-1,-1,824229,-1,-1,15299,-1,-1,661576,-1,306872,-1,-1,-1,683514,-1,890389,146482,-1,-1,783004,101670,-1,-1,621196,-1,-1,-1,-1,232778,-1,591647,624639,-1,-1,289890,193175,465293,-1,93506,-1,-1,711123,-1,403057,529376,-1,-1,-1,146369,506803,457892,870020,-1,-1,-1,-1,-1,-1,13023,-1,826911,111696,-1,-1,-1,961135,256409,-1,9733,50410,-1,-1,-1,-1,505791,758076,-1,-1,985331,-1,-1,415795,718804,880465,996623,928721,-1,-1,-1,185683,-1,420512,224311,-1,-1,-1,805444,-1,982490,843858,398204,-1,-1,998698,-1,-1,172534,-1,-1,-1,-1,166372,642822,-1,288814,-1,314256,-1,-1,800721,-1,-1,60290,610920,-1,-1,-1,-1,679657,-1,869522,-1,194597,-1,-1,906795,-1,694861,-1,438287,694731,411871,109820,-1,492444,-1,770187,-1,731043,-1,-1,-1,139637,-1,944518,-1,-1,-1,239120,279774,-1,-1,987109,-1,875741,733849,-1,365148,-1,754219,683480,352491,77140,466140,-1,111821,315714,-1,459981,21398,705727,-1,-1,-1,-1,-1,434701,84433,880753,-1,986739,70227,959607,695985,-1,54867,-1,-1,-1,-1,617845,-1,-1,-1,343790,910989,-1,935830,-1,-1,190552,-1,-1,-1,449740,-1,785080,286950,351759,65830,-1,73726,-1,917483,-1,887968,-1,-1,500170,546348,791488,162865,103352,-1,-1,823467,699802,-1,-1,972485,-1,775991,372872,131805,-1,102266,-1,-1,-1,-1,531969,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,759288,-1,-1,-1,171450,-1,-1,280132,65322,-1,-1,229723,818585,-1,385956,-1,-1,978277,-1,-1,-1,-1,-1,-1,-1,-1,-1,377968,677050,6046,-1,143141,-1,838141,89726,-1,-1,-1,854619,-1,-1,-1,198837,96336,944920,-1,-1,-1,-1,441128,556241,-1,934226,38816,824619,440114,266458,-1,214294,-1,-1,633588,-1,412816,-1,-1,-1,917558,607953,-1,-1,925423,-1,-1,-1,-1,-1,-1,-1,692233,-1,733254,492143,944623,57360,-1,-1,-1,417062,641873,575030,-1,756508,-1,464054,643244,87103,939026,-1,-1,-1,-1,484750,-1,-1,42240,-1,-1,-1,-1,-1,316592,445654,463404,167918,-1,-1,839745,889855,-1,-1,-1,995393,-1,495406,613080,645307,567994,-1,-1,450406,987479,-1,643916,16194,700843,-1,891819,-1,489069,225672,-1,542201,980927,16150,-1,-1,872095,-1,-1,162375,-1,242156,-1,345188,336441,979660,-1,-1,101537,639659,345860,750013,-1,-1,950508,514758,-1,168565,169631,110459,-1,846818,58874,-1,57619,-1,-1,-1,-1,385738,306070,-1,897556,-1,-1,-1,227652,-1,-1,823124,-1,366096,737857,569693,-1,-1,468900,-1,-1,-1,-1,678744,-1,-1,733800,347081,695410,-1,-1,-1,617730,-1,-1,-1,-1,-1,-1,-1,41520,-1,263490,240889,-1,-1,-1,903908,648056,-1,954481,46840,420716,651612,-1,-1,-1,-1,754347,91543,733884,-1,-1,736338,-1,433368,-1,-1,-1,-1,475546,640011,-1,-1,-1,589964,-1,-1,155938,373057,670799,327602,851218,634845,688953,-1,181260,-1,-1,-1,219115,-1,470393,42991,-1,609029,-1,433523,824874,495564,-1,-1,480665,172985,622760,509709,865668,-1,-1,499714,556834,-1,-1,-1,-1,782005,666414,1901,-1,440740,765092,783996,984827,-1,-1,-1,-1,72383,960013,-1,550665,751912,647709,-1,-1,-1,-1,805920,-1,493989,-1,967228,803284,-1,777402,-1,-1,151832,855639,328740,-1,938610,630407,-1,-1,-1,821050,-1,-1,970457,-1,814119,-1,704366,-1,-1,-1,726640,501194,-1,773908,-1,-1,219450,1911,-1,451989,-1,275224,10758,-1,878648,797784,619516,953946,-1,85441,371972,23630,-1,433146,-1,-1,461828,150566,-1,331085,-1,56162,233140,323467,912129,531792,564447,-1,-1,864659,453557,404259,708079,235436,-1,-1,-1,-1,246087,-1,62759,466468,79601,322496,-1,999971,614421,-1,344761,492868,-1,-1,-1,-1,-1,592001,412736,634406,637129,13783,110698,23400,83705,50829,-1,-1,-1,-1,-1,513201,-1,-1,-1,888471,609697,412892,549986,-1,-1,-1,992405,609595,-1,-1,-1,-1,-1,598239,-1,816401,998973,42686,328535,443710,944124,-1,312158,-1,781053,-1,-1,-1,961604,-1,56592,-1,429445,-1,918185,-1,623400,741773,218591,58348,296654,858160,552096,762130,-1,135326,-1,-1,-1,279017,-1,-1,317252,-1,-1,-1,774545,-1,231656,74569,235784,982959,467036,658558,-1,-1,-1,-1,828899,471166,739297,628605,155562,-1,-1,133793,96094,-1,263655,-1,858119,842127,-1,-1,-1,544068,698929,547484,592244,-1,-1,-1,-1,-1,449815,716388,-1,478547,153071,-1,-1,322350,-1,461063,-1,274839,331601,-1,-1,790050,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,363646,-1,-1,-1,-1,-1,-1,947122,-1,-1,721958,865816,965168,840479,-1,148660,795084,571040,-1,-1,-1,-1,-1,-1,480535,254077,-1,-1,728353,-1,990550,-1,-1,-1,983077,-1,695877,539163,427708,-1,361772,-1,-1,322371,207298,-1,220738,-1,-1,414165,-1,877048,425602,139227,-1,-1,-1,-1,440769,-1,-1,984588,-1,-1,36892,-1,-1,-1,34480,637817,-1,-1,-1,-1,-1,-1,680317,609309,450888,-1,567649,735205,-1,-1,-1,-1,-1,125009,40101,-1,881029,-1,-1,-1,945590,68098,750041,849300,689324,-1,634197,-1,-1,976224,375298,-1,-1,394038,731203,-1,804296,-1,-1,407407,914186,927004,326850,-1,163106,148854,993100,-1,615228,126865,917220,-1,134816,348652,760904,-1,-1,-1,152364,394642,631782,287688,-1,918740,-1,-1,670061,92327,-1,-1,-1,801758,-1,-1,901052,217992,-1,-1,-1,476384,496402,-1,351522,-1,59458,-1,-1,-1,-1,278093,34975,53665,-1,421898,619461,184537,718928,270948,823311,761738,643875,540395,812921,-1,-1,658582,-1,-1,842635,536398,-1,709978,278354,-1,895654,480305,705213,146872,-1,-1,-1,-1,-1,-1,463031,586629,818318,-1,23563,-1,-1,150928,-1,-1,426560,-1,-1,971802,-1,-1,786289,264353,-1,-1,902577,-1,-1,357304,612808,950995,-1,-1,-1,657823,-1,694845,333133,877964,451535,-1,-1,-1,192056,-1,479131,-1,-1,-1,207560,299183,-1,40975,479888,-1,77354,234422,459464,-1,370392,837425,-1,-1,858687,201644,-1,-1,-1,776424,571757,-1,-1,-1,594888,772977,107570,255332,-1,-1,-1,593532,-1,-1,-1,723763,-1,-1,-1,849704,-1,475269,-1,925527,-1,-1,-1,-1,-1,-1,-1,-1,-1,109409,-1,-1,412735,-1,-1,-1,733415,538330,882706,-1,-1,387909,-1,255592,467846,-1,-1,-1,-1,-1,920569,334507,245444,822311,129288,496282,-1,-1,253580,591471,-1,680079,-1,-1,-1,-1,-1,529770,968432,987334,-1,508972,341344,-1,-1,-1,-1,115090,-1,-1,-1,-1,814462,-1,546230,-1,627247,702870,-1,-1,96346,-1,752266,136490,-1,406522,722050,255158,361952,-1,-1,579510,-1,-1,-1,206403,472032,-1,-1,-1,-1,-1,-1,-1,748756,96584,-1,390557,-1,262141,-1,-1,295429,394893,-1,47359,-1,-1,203933,795788,925378,-1,-1,927403,-1,965779,865356,-1,-1,126771,-1,-1,-1,46766,72696,-1,947080,30694,561351,-1,317866,-1,-1,664645,-1,896833,775451,-1,53286,-1,906958,-1,-1,-1,-1,-1,594316,-1,-1,827631,-1,173592,721291,815785,330794,-1,856442,-1,-1,-1,237607,-1,67991,760910,534238,515087,-1,567417,-1,105552,-1,-1,-1,600097,818569,284795,744397,657230,-1,797012,907567,882570,-1,-1,588072,-1,941135,257763,-1,790311,684338,-1,933233,-1,152986,634585,-1,-1,159883,-1,612370,998791,935862,348967,-1,-1,-1,384508,-1,-1,-1,-1,-1,-1,947772,633300,565056,-1,-1,-1,-1,-1,-1,824188,-1,-1,-1,938781,906075,-1,43447,966748,812416,-1,-1,-1,105465,-1,-1,-1,455774,-1,575068,-1,741803,-1,-1,240049,-1,-1,782483,-1,383871,-1,-1,925564,491199,-1,357240,-1,658596,523670,838431,-1,-1,-1,793863,-1,426372,-1,22874,165754,-1,6590,276986,-1,-1,925845,544024,552533,258947,-1,-1,-1,-1,-1,234108,147409,468897,-1,-1,-1,648821,-1,668210,789943,254865,-1,-1,-1,-1,-1,-1,773506,-1,132765,907223,-1,-1,130573,-1,-1,906641,798359,-1,496109,96281,-1,447556,154863,93473,-1,-1,10692,-1,-1,766973,-1,-1,-1,-1,-1,955699,159525,-1,836661,-1,285416,-1,185492,-1,181394,316363,631311,631426,-1,67782,-1,-1,-1,315283,-1,634294,473666,-1,838754,-1,699911,-1,659695,477642,-1,702845,-1,991775,-1,815068,508311,-1,244855,279672,715292,617653,-1,754484,942446,-1,-1,127610,494423,472200,894503,809790,934717,-1,244160,527399,338798,-1,-1,-1,930689,-1,950869,-1,216547,-1,-1,-1,799463,-1,-1,235085,783853,119145,669833,782902,810722,-1,687833,321173,-1,726273,229516,-1,-1,120055,-1,-1,841017,-1,686674,-1,794033,-1,-1,177124,-1,359818,263235,633689,236312,330598,-1,740529,279062,856940,-1,403118,-1,400346,725318,-1,-1,572948,348188,354827,555665,-1,-1,393212,-1,-1,-1,422953,-1,-1,-1,164510,234345,874611,-1,-1,-1,384037,584343,-1,-1,92749,368342,866223,681641,-1,564401,-1,-1,-1,466459,-1,-1,479553,-1,389017,-1,682288,-1,402993,-1,507440,786498,-1,894327,-1,-1,-1,753188,612501,-1,329584,-1,-1,-1,33732,484131,417363,-1,-1,-1,483071,192957,-1,365293,-1,-1,288985,77893,-1,-1,341884,303212,129178,699426,-1,-1,-1,165707,-1,-1,-1,-1,944848,713077,-1,-1,-1,700645,546008,-1,-1,-1,-1,514249,-1,545406,-1,-1,979299,96529,-1,999968,-1,-1,180114,-1,420822,801332,11312,692246,609526,767330,-1,-1,-1,-1,607108,894704,-1,-1,254929,533898,-1,-1,-1,926053,-1,688614,850365,740615,947242,-1,994236,-1,233117,499759,723790,-1,663106,-1,-1,-1,764991,358391,-1,-1,170590,223317,166611,971487,426083,-1,-1,-1,617020,-1,292126,-1,354737,-1,625167,-1,869094,671430,-1,548786,45476,-1,63937,-1,663578,-1,-1,858658,-1,698546,595560,261825,682247,659751,164813,451770,707746,-1,940124,177311,-1,-1,-1,-1,980659,712074,-1,302679,701362,695328,579974,342838,-1,639130,114141,-1,-1,458622,-1,432130,-1,587910,-1,796184,694109,-1,-1,-1,102145,-1,73125,-1,-1,424994,-1,-1,241108,123229,-1,431152,995561,-1,-1,-1,-1,-1,-1,965991,404685,-1,175078,-1,-1,543235,869977,-1,641687,879069,68232,51036,-1,949251,134886,-1,-1,993959,-1,-1,675054,85114,546359,516217,323276,615735,307109,-1,-1,287776,361184,-1,-1,952358,929926,-1,110117,115565,-1,635793,-1,863688,104617,223640,106700,841607,116122,-1,-1,-1,-1,421381,-1,-1,-1,-1,-1,-1,-1,592929,749924,-1,432839,102377,-1,-1,711214,824086,-1,-1,227322,920638,944017,696658,-1,648811,-1,209923,-1,672487,73394,428650,-1,552456,296484,-1,420133,-1,-1,698520,295093,738136,603494,-1,779003,-1,-1,-1,628532,176873,-1,-1,-1,146855,-1,-1,-1,502072,241459,83722,618694,543810,667149,797404,-1,-1,-1,-1,-1,-1,401240,414301,-1,-1,-1,-1,-1,-1,-1,-1,821425,-1,274470,-1,337895,758840,-1,-1,679776,-1,987130,-1,-1,-1,-1,-1,-1,327454,-1,-1,815291,-1,-1,20280,-1,299095,4604,945341,468056,-1,-1,-1,-1,-1,327097,128387,-1,884269,19625,-1,-1,580392,-1,386741,-1,964587,790033,-1,-1,-1,-1,-1,723905,869130,173050,-1,290153,806207,-1,455354,42667,202411,-1,-1,-1,922762,-1,229162,368608,-1,580496,309789,-1,-1,686005,193746,-1,126940,567267,-1,-1,-1,306074,-1,184177,-1,834051,-1,-1,600719,467045,912876,20837,-1,-1,704333,-1,-1,-1,-1,774532,623542,258803,-1,209015,612737,-1,-1,905918,-1,-1,989131,-1,428201,-1,220696,555582,-1,166987,698341,967931,-1,-1,438213,-1,-1,-1,-1,-1,559032,-1,-1,-1,-1,314547,-1,-1,334119,671556,805550,912059,-1,-1,-1,350251,752539,533570,-1,-1,123597,-1,-1,307695,-1,-1,-1,94896,-1,-1,-1,-1,553748,352315,-1,926576,45203,199338,242394,564344,67584,-1,-1,-1,319033,-1,450254,976302,592459,595913,688945,534101,445640,-1,-1,943784,-1,113900,286525,-1,-1,885876,357485,134317,-1,-1,133910,595453,-1,-1,-1,299006,319993,668132,-1,787276,291398,674153,-1,255906,-1,-1,-1,285782,-1,-1,702949,-1,-1,913284,326690,-1,316738,-1,194558,-1,848154,896920,-1,810848,113241,-1,434602,666523,-1,774699,10859,-1,-1,-1,-1,-1,-1,143960,-1,-1,315600,-1,-1,-1,-1,46310,461936,-1,-1,572326,-1,-1,789495,-1,148988,-1,559361,90600,696934,125094,888701,211942,718005,-1,268841,626504,-1,-1,276880,-1,-1,-1,500755,911847,-1,-1,-1,169104,-1,580771,-1,-1,-1,325149,91183,346417,735539,156691,375073,-1,850923,-1,701522,-1,956588,922670,-1,333894,-1,880467,476799,-1,-1,275332,551904,-1,253615,-1,278959,-1,-1,754400,-1,-1,781772,651463,750564,-1,-1,-1,322171,-1,100134,-1,-1,31189,649116,-1,551962,-1,788666,-1,243549,-1,743212,-1,856289,-1,-1,-1,861427,-1,721202,307197,-1,172917,800663,659685,-1,735752,-1,-1,764204,-1,-1,-1,986762,-1,918907,436035,138026,601162,-1,-1,580747,190390,715326,-1,-1,173963,495584,-1,-1,-1,-1,723289,297207,-1,466263,645836,-1,-1,610791,-1,320752,413562,481679,274343,736257,-1,-1,-1,63413,98831,-1,169265,614134,448697,829810,-1,804769,-1,-1,-1,-1,-1,374432,-1,629773,-1,-1,-1,61968,-1,-1,-1,-1,686339,-1,-1,-1,940266,610386,-1,-1,-1,-1,440544,784228,-1,130365,366523,-1,-1,-1,-1,913102,-1,-1,941051,-1,-1,-1,-1,850094,-1,194703,315086,-1,606707,170513,-1,-1,147655,1177,13144,246310,431106,-1,157112,-1,-1,566930,139643,-1,-1,813523,-1,473648,-1,147058,-1,716993,-1,325165,-1,-1,-1,902426,-1,465533,-1,28034,506292,-1,298233,-1,-1,-1,206445,473566,-1,271477,319943,-1,-1,-1,499749,414839,-1,829439,206620,635074,990014,546727,705750,-1,333979,556596,268514,575219,2418,122823,780543,-1,108267,-1,604944,-1,-1,-1,824946,-1,-1,-1,277068,212978,-1,183888,-1,912769,67079,47126,-1,-1,675521,-1,-1,443771,627133,576608,785537,322800,-1,647847,960127,-1,-1,522520,166663,682716,824482,992447,851495,-1,986172,743384,-1,-1,-1,-1,-1,77954,275409,-1,627349,-1,219047,640285,-1,-1,525789,-1,-1,-1,648064,-1,819299,-1,313703,-1,15553,893777,398170,449785,835771,187232,857317,858823,85590,-1,-1,-1,-1,258383,247871,-1,-1,-1,-1,299473,-1,454238,-1,100382,51163,-1,730176,-1,-1,-1,-1,-1,485446,683379,-1,639238,223283,226949,64142,828930,809760,393563,-1,-1,-1,-1,359848,-1,99797,-1,698712,5771,-1,-1,162853,-1,230098,20681,-1,322840,181166,399676,530012,684393,-1,-1,-1,365490,-1,731715,-1,-1,-1,-1,-1,629882,430682,590649,992303,-1,58047,-1,-1,470424,485725,937507,87301,550168,479152,679661,-1,466171,-1,-1,840716,-1,72248,-1,-1,-1,-1,474294,-1,276466,-1,-1,-1,255144,-1,205888,77022,-1,-1,-1,-1,484243,335143,-1,-1,974914,176585,731397,685754,-1,364830,-1,283083,196438,-1,-1,-1,-1,-1,-1,-1,875154,-1,-1,665949,253592,955575,-1,273986,379550,-1,409219,-1,-1,-1,456855,593032,645756,686998,-1,638394,-1,-1,804366,-1,945015,220082,-1,954389,-1,732471,824178,777762,718400,-1,244176,-1,-1,-1,-1,947297,-1,423142,-1,581416,710152,750708,-1,626981,-1,-1,5306,117449,-1,95232,-1,-1,-1,-1,-1,353182,131004,-1,141180,215231,-1,489570,597319,-1,-1,-1,330213,80212,-1,-1,-1,-1,259294,-1,-1,936130,848280,-1,-1,150064,-1,450510,-1,-1,653509,-1,-1,887564,-1,-1,-1,-1,-1,-1,-1,-1,70960,977858,-1,-1,-1,-1,-1,-1,-1,590820,-1,160038,-1,930651,809397,836471,475549,-1,-1,-1,851375,752984,-1,-1,-1,-1,-1,456255,-1,971473,-1,690528,-1,-1,596946,11641,817222,787149,323453,453419,-1,-1,-1,-1,390921,-1,-1,-1,-1,-1,-1,592381,563735,-1,-1,-1,-1,-1,-1,-1,-1,-1,500470,639651,-1,475680,-1,725366,970187,-1,-1,-1,716123,968677,303186,520502,33269,-1,965879,495034,652824,-1,273028,945340,-1,-1,662021,-1,13867,-1,-1,-1,-1,96542,248838,-1,-1,-1,-1,-1,964267,-1,-1,-1,331846,-1,909111,-1,-1,-1,-1,-1,45239,950740,-1,-1,-1,383652,189573,-1,-1,623448,-1,640775,626005,400465,-1,-1,-1,395307,-1,-1,723383,753693,810131,956309,913436,-1,474867,-1,872828,-1,-1,102062,-1,-1,65123,-1,847836,908490,-1,549072,163717,-1,543975,689162,851000,204894,173470,-1,557755,-1,304828,270151,118324,781906,60797,869513,565809,883582,-1,791197,163552,-1,667192,5813,-1,828706,-1,501212,-1,-1,534584,923385,-1,64531,94477,-1,-1,588478,-1,314873,-1,856023,47562,-1,210893,375208,-1,151717,-1,-1,558741,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,445861,643650,-1,-1,568279,129941,-1,-1,751536,-1,899652,657816,928838,-1,-1,-1,-1,-1,-1,752802,-1,999464,756898,-1,-1,775966,-1,-1,-1,261813,-1,-1,690985,936158,-1,194338,-1,452587,-1,-1,-1,440501,177111,290837,-1,-1,-1,-1,-1,-1,-1,-1,997889,-1,594925,727631,-1,-1,794202,171215,-1,201981,260934,141140,-1,282886,-1,618898,463754,-1,-1,-1,-1,-1,-1,49883,37889,-1,573616,72885,279184,-1,-1,-1,-1,-1,255786,-1,-1,52775,540734,-1,956756,956181,281117,528579,-1,281859,422629,293660,-1,-1,-1,-1,970293,-1,404197,-1,-1,-1,961565,245289,-1,20708,966615,-1,-1,-1,335835,256092,-1,-1,178989,393788,-1,-1,710632,860584,-1,80507,-1,43637,-1,-1,-1,311439,-1,317223,-1,-1,-1,134333,-1,-1,500468,823062,599373,-1,19400,-1,342897,-1,-1,168929,-1,-1,-1,482395,-1,-1,884863,941216,-1,-1,-1,765369,273941,-1,-1,104639,-1,292920,-1,534300,710772,-1,239363,766659,688229,678997,913167,-1,-1,981982,-1,825424,-1,977184,-1,167509,-1,561444,195621,25108,249556,525370,-1,878348,752696,-1,-1,997562,-1,-1,-1,-1,422748,-1,560002,-1,75878,238679,-1,740533,699450,-1,-1,461004,534687,450471,-1,302814,968002,-1,-1,-1,872576,-1,345252,-1,728355,840568,474679,827360,169027,-1,-1,-1,293603,191181,-1,586686,910721,-1,-1,287522,-1,-1,219246,-1,-1,715385,715375,609196,-1,-1,-1,854939,-1,-1,-1,-1,47274,585355,-1,409833,-1,568293,-1,354987,-1,-1,-1,-1,419222,343023,-1,63467,616705,-1,798265,-1,329313,-1,117503,-1,-1,542125,-1,-1,-1,-1,192153,-1,-1,-1,-1,566501,67672,109438,-1,-1,-1,400633,755195,-1,335341,-1,-1,424021,-1,-1,-1,-1,-1,-1,673897,-1,-1,-1,408150,-1,149767,424413,78151,-1,-1,-1,426241,578357,-1,196834,-1,-1,64804,20322,-1,-1,-1,577693,783054,314770,548776,216308,-1,291910,-1,-1,-1,-1,716004,97553,-1,-1,-1,339200,-1,-1,-1,-1,370060,64588,573256,131379,240464,-1,-1,-1,770072,41509,-1,774422,-1,-1,523469,607525,-1,-1,302950,405258,-1,796882,-1,805000,-1,-1,569950,337761,-1,-1,717893,-1,-1,252501,-1,-1,914382,-1,-1,628197,-1,-1,398046,-1,490630,-1,-1,-1,-1,-1,775874,853696,634852,456674,-1,-1,311634,-1,-1,-1,419187,-1,293827,-1,213391,-1,704989,653193,-1,343972,448736,381294,460875,404258,-1,-1,-1,736367,-1,635576,194171,-1,-1,-1,259799,311790,-1,684003,643,-1,511130,8868,-1,-1,447242,866377,-1,257743,-1,-1,-1,-1,697249,-1,225034,109410,-1,803532,-1,938243,366671,506374,243924,-1,847862,7537,462061,205417,856593,708188,-1,714613,-1,-1,866913,-1,-1,294736,96084,191901,-1,-1,667826,-1,-1,30906,-1,-1,-1,-1,-1,384157,-1,702851,670104,149571,454251,-1,-1,895003,-1,-1,256832,226835,150713,607822,340824,-1,962790,257035,758659,-1,267199,548706,755069,659508,803596,896160,76207,-1,-1,-1,-1,-1,-1,-1,665808,780937,619733,996856,393653,875560,896185,368493,85653,-1,452550,-1,-1,712235,-1,738891,738031,-1,490801,736598,29284,915632,-1,-1,135100,-1,-1,-1,827097,411109,-1,-1,-1,-1,871563,891150,-1,-1,898417,-1,805525,-1,-1,-1,469794,998715,-1,25205,118030,39539,78470,679282,327025,727902,171543,949873,802682,-1,518627,-1,-1,349575,700514,-1,428230,98520,-1,187269,-1,-1,-1,-1,-1,-1,65877,-1,127878,-1,-1,671394,-1,818463,-1,97287,948410,261528,-1,584811,-1,-1,-1,66995,343104,-1,-1,-1,208230,-1,499579,-1,-1,797443,673236,-1,565284,-1,-1,26067,-1,739478,304762,-1,18919,879203,-1,1446,-1,-1,-1,-1,-1,-1,-1,-1,492001,370125,-1,-1,64474,-1,-1,-1,8391,878202,436376,16069,919463,-1,-1,135759,570499,733818,284828,-1,353697,89582,193278,-1,330597,241926,624579,-1,-1,-1,-1,593383,-1,249400,417438,-1,-1,-1,-1,-1,-1,-1,593039,-1,-1,612033,-1,128162,-1,-1,956581,954595,36549,-1,199887,-1,379930,-1,-1,796740,-1,240987,-1,802576,526297,-1,538925,638875,-1,22084,467941,550807,484133,318628,-1,624344,157104,444242,508923,-1,-1,-1,24216,-1,953683,818873,-1,847220,351316,-1,-1,659319,977362,-1,727199,70559,-1,252121,-1,656329,-1,-1,71217,-1,-1,-1,222486,763713,107372,-1,462942,798277,145861,358053,189528,274982,-1,-1,352039,416254,15639,65456,-1,-1,561821,677918,-1,-1,92001,329912,536837,-1,842367,189228,-1,-1,285689,-1,966340,-1,-1,484558,934216,231610,-1,875930,-1,966390,471731,547761,875306,-1,162456,100869,817272,-1,-1,-1,841157,-1,-1,528657,-1,210799,-1,-1,-1,886688,-1,-1,-1,-1,676698,651970,434002,306152,989784,160811,370014,659889,150102,-1,-1,-1,415766,-1,245508,-1,500441,-1,-1,665503,-1,-1,688722,268960,-1,26229,-1,-1,-1,-1,-1,538813,791593,-1,932164,-1,162762,-1,936222,396252,974728,-1,103252,442584,525319,186523,258034,914406,165631,-1,-1,806145,-1,-1,625241,31716,-1,1091,473717,-1,412593,-1,-1,667631,-1,206106,-1,-1,-1,-1,-1,412458,-1,157623,170695,775867,639864,248547,-1,-1,-1,351984,-1,-1,242370,519393,-1,11605,725575,72455,683593,-1,-1,-1,546405,-1,-1,273467,564913,167436,816720,-1,-1,-1,514500,620714,551863,-1,243653,-1,11915,982159,-1,-1,798390,549995,784437,305133,13557,202359,688028,274894,-1,58598,348196,1974,93588,-1,407382,273951,632742,780238,719020,-1,448541,107526,-1,340785,595993,-1,782528,359146,-1,-1,954400,876798,-1,196435,-1,462695,147360,-1,-1,-1,-1,738568,146593,335146,-1,319027,-1,737630,-1,247251,777193,154184,-1,493555,-1,823207,-1,-1,-1,324522,-1,-1,-1,-1,-1,-1,-1,-1,932448,998945,-1,-1,187545,920802,161192,328356,-1,103459,229452,-1,426638,-1,294525,29958,-1,406474,92814,-1,-1,777272,142790,-1,-1,257126,-1,-1,-1,-1,11659,46346,218174,-1,869600,978658,-1,10878,491441,952230,415622,-1,-1,-1,382384,-1,-1,80313,-1,-1,378001,65502,-1,269741,-1,-1,331056,-1,1848,862403,-1,-1,191748,-1,-1,877141,-1,-1,-1,852774,148314,730659,-1,-1,-1,648399,114540,82064,79026,-1,206528,653490,-1,284727,-1,308693,963091,17883,-1,-1,-1,-1,670094,-1,943219,942231,-1,500172,353784,-1,-1,-1,425943,710332,-1,-1,-1,-1,603518,-1,-1,-1,-1,584565,480396,377233,-1,-1,-1,773627,-1,-1,945794,117998,-1,-1,168035,-1,583580,-1,-1,921905,423283,984918,-1,391375,419532,316087,974885,894733,539645,778166,-1,-1,-1,-1,915912,879832,-1,-1,913588,-1,109631,-1,-1,-1,796764,-1,-1,971934,-1,-1,724859,-1,189017,242064,-1,-1,783073,-1,847303,445900,500125,147992,-1,50641,185631,628324,390124,424181,603763,292710,890718,-1,-1,-1,-1,-1,283671,879543,-1,451123,507632,797802,-1,713777,58763,641605,854620,589106,811057,171968,122155,711723,133577,58678,-1,968723,-1,-1,485884,-1,-1,-1,-1,-1,958688,-1,479866,-1,491982,552051,-1,-1,831137,-1,-1,-1,770059,903346,-1,700970,386986,880405,900336,836290,94772,541318,93706,315807,716720,-1,230837,554546,743883,-1,166107,-1,-1,996613,-1,565616,77866,853919,973940,-1,271536,-1,306520,-1,-1,-1,-1,-1,257256,-1,193768,-1,633624,-1,607671,636460,-1,346312,220052,-1,-1,745775,-1,512991,-1,-1,-1,-1,729270,137450,368673,862079,-1,-1,-1,600227,-1,-1,-1,970496,882905,910031,577689,-1,737062,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,369646,350011,729548,705098,631633,362901,945276,504394,354313,791813,-1,-1,616726,-1,-1,-1,-1,-1,598709,-1,-1,681554,-1,632654,725280,57124,794397,339306,-1,-1,-1,-1,-1,846937,-1,-1,841497,-1,103018,-1,-1,459401,-1,-1,727165,-1,841368,-1,477641,-1,368526,361650,-1,112177,88142,748503,-1,481801,-1,815158,88399,-1,-1,-1,-1,-1,511016,608004,-1,-1,-1,925851,-1,-1,241109,442363,-1,359382,771894,-1,533022,-1,-1,472207,644751,-1,-1,-1,-1,980145,873170,533923,-1,201373,-1,-1,48507,-1,945333,119278,-1,-1,-1,-1,798804,516582,363511,-1,975305,-1,177834,-1,28344,-1,417644,808977,-1,-1,29895,-1,745957,-1,840525,-1,31986,329919,99021,675286,899496,-1,-1,-1,88885,686602,-1,737445,706551,-1,49477,-1,-1,851592,658034,35301,376979,531410,-1,-1,-1,741311,-1,911615,988028,-1,264941,907124,592923,613750,471601,113277,339261,673426,-1,-1,187125,518665,-1,-1,703785,139630,409888,937791,49592,-1,-1,995838,-1,900720,-1,819869,-1,921676,218987,-1,798641,561427,-1,500565,-1,537278,421416,-1,-1,-1,-1,162798,86695,-1,207356,274391,-1,579165,-1,-1,121300,-1,-1,-1,598057,-1,-1,-1,778742,690865,-1,-1,-1,529881,-1,891212,850597,-1,-1,-1,720666,-1,-1,589747,261838,913123,-1,-1,360428,225369,-1,534659,336141,758803,15274,680263,230426,-1,-1,924195,732921,671128,-1,153664,-1,-1,-1,-1,-1,681423,407172,817439,-1,-1,-1,109191,207592,469257,-1,-1,443169,798424,-1,721032,-1,-1,405651,727217,149247,-1,517915,924114,-1,569089,-1,262743,-1,-1,308018,-1,860444,-1,353520,768096,-1,199265,728773,-1,-1,261346,-1,903831,727290,-1,649121,-1,861951,-1,821811,-1,-1,-1,-1,-1,-1,-1,853515,-1,-1,-1,-1,-1,466755,46424,828098,502745,-1,-1,-1,878168,659615,-1,292664,-1,-1,-1,69667,-1,419763,427408,-1,-1,576400,189207,-1,-1,209730,842615,469039,272530,-1,-1,-1,-1,-1,507975,-1,-1,855468,689136,-1,581800,-1,270825,82591,-1,-1,-1,-1,147225,-1,-1,942624,166643,-1,-1,915152,982989,285066,289180,-1,631773,-1,39014,-1,-1,-1,-1,-1,-1,-1,-1,504804,-1,210465,618143,-1,218216,263750,-1,651442,61602,716320,-1,70837,-1,-1,-1,139764,819771,-1,-1,236430,-1,-1,-1,-1,71511,-1,707289,-1,274381,1352,504871,227122,-1,278316,67847,-1,-1,154283,571233,-1,92443,562308,-1,-1,427347,-1,-1,-1,-1,-1,-1,-1,-1,633678,480158,-1,-1,-1,-1,694077,-1,610002,310530,-1,44286,795669,-1,-1,510922,-1,-1,-1,114909,-1,656370,-1,-1,-1,-1,828723,341260,-1,-1,868690,-1,160919,-1,-1,875801,-1,414986,-1,873394,-1,267486,-1,301204,-1,-1,997226,-1,-1,86608,-1,-1,647403,-1,-1,928863,-1,387671,823354,-1,-1,954874,173126,812294,-1,-1,140041,-1,-1,298371,-1,746018,621092,374102,-1,500217,-1,699134,-1,-1,-1,5276,-1,641692,906655,-1,982073,691724,-1,454283,95220,-1,-1,-1,-1,283844,-1,-1,983935,105199,107770,-1,-1,253534,-1,222267,-1,-1,-1,-1,-1,320132,-1,681854,911238,-1,716302,180990,440892,483386,-1,-1,979905,-1,-1,321846,-1,-1,-1,612831,-1,-1,-1,727027,407639,-1,-1,570316,188890,981774,846316,4244,-1,-1,-1,954628,-1,424829,383585,-1,-1,706957,51598,4991,-1,-1,-1,737120,-1,-1,867258,-1,-1,-1,-1,-1,444687,-1,89779,144501,125816,-1,819736,143507,-1,-1,579471,-1,-1,-1,-1,653066,485878,663816,-1,-1,-1,317883,254710,-1,-1,-1,306647,937317,972418,655893,791171,801922,-1,186136,-1,-1,543843,-1,111032,869228,-1,-1,-1,-1,634220,638100,-1,-1,-1,-1,377962,73600,-1,318052,964728,582097,-1,26908,975763,492817,-1,-1,-1,-1,-1,-1,376013,81693,287072,980593,-1,-1,-1,-1,363032,751021,981819,58398,881487,-1,-1,709321,-1,-1,-1,189572,-1,-1,-1,199216,183282,671384,-1,814727,-1,-1,411809,13198,-1,525249,-1,-1,-1,-1,-1,776290,313758,-1,8716,-1,-1,854390,-1,-1,-1,995680,-1,979222,191090,-1,-1,-1,982981,-1,-1,-1,669,-1,-1,-1,357565,-1,627615,-1,196165,67545,-1,745022,-1,500196,305122,402206,-1,-1,283658,544036,563372,160817,874364,565958,674869,363704,-1,141622,-1,968762,34060,794369,11003,-1,631617,173715,689996,-1,-1,-1,-1,-1,-1,-1,-1,525619,-1,-1,525930,678810,-1,264166,854137,-1,768735,-1,-1,-1,-1,-1,287256,-1,-1,-1,125405,158970,434088,73405,269771,221758,-1,-1,539755,956385,863414,285983,-1,-1,-1,-1,-1,-1,-1,-1,938670,-1,902719,-1,810365,686605,-1,63055,-1,128187,28101,-1,823130,228249,-1,-1,-1,195842,-1,310265,427513,62208,-1,-1,-1,-1,-1,165269,-1,-1,-1,-1,151755,908736,-1,493962,-1,957083,499810,-1,673877,160184,-1,-1,-1,-1,-1,467454,-1,803720,27431,-1,-1,350137,842717,221470,48856,-1,759328,-1,673924,180230,-1,-1,394419,948036,-1,-1,-1,98616,-1,-1,-1,75675,541605,921177,631662,-1,-1,588495,700170,-1,-1,733087,945093,407006,-1,-1,-1,-1,-1,-1,409857,-1,-1,289865,-1,-1,-1,-1,541283,649146,384597,748755,364848,-1,-1,35543,769696,-1,96371,-1,-1,551267,-1,117109,-1,-1,-1,-1,-1,121834,789207,-1,-1,-1,-1,-1,538994,-1,-1,103813,666100,594914,-1,415115,359450,-1,-1,-1,271276,-1,617932,-1,-1,369871,316632,155161,902373,-1,-1,252393,617442,-1,-1,-1,620208,-1,837295,-1,744227,-1,590898,-1,-1,391459,-1,-1,648161,381062,599792,-1,658197,900001,337464,847714,974810,-1,67852,-1,-1,322832,32273,291311,788635,214842,-1,617993,808346,773430,-1,-1,50144,654038,542421,717241,86376,-1,847423,-1,219836,881251,670842,-1,-1,-1,392749,490255,-1,-1,42989,-1,-1,400039,-1,-1,-1,-1,-1,854461,555175,-1,-1,-1,-1,-1,437947,-1,846531,834389,593270,336068,-1,-1,943411,464363,-1,-1,511346,132708,627424,517634,211250,676222,-1,395252,720815,241346,-1,779208,619387,211746,-1,-1,-1,-1,-1,-1,945399,-1,-1,-1,-1,-1,-1,616172,790758,-1,113488,979244,617985,371568,2872,-1,-1,854359,-1,-1,974990,-1,415219,694386,-1,149411,-1,280094,543210,-1,-1,685982,717065,380471,821845,-1,514674,-1,-1,693190,-1,100331,-1,277106,768020,-1,-1,372794,360625,205086,-1,125028,158854,-1,-1,-1,777903,-1,-1,-1,338444,-1,405819,32685,459218,-1,-1,493173,493986,-1,372320,-1,390034,86514,799712,-1,-1,-1,-1,991594,902809,608828,-1,-1,-1,899110,-1,84346,-1,829966,-1,419910,329070,-1,356603,-1,987991,685489,593026,803182,632991,-1,875285,-1,32923,-1,345593,-1,862371,9136,472829,923282,-1,-1,424564,135977,590827,338243,-1,-1,-1,613634,42420,-1,-1,-1,267719,769783,-1,980568,-1,-1,819643,-1,778199,-1,-1,-1,-1,-1,522380,77023,-1,-1,-1,-1,-1,-1,-1,345558,420785,-1,-1,-1,-1,-1,177158,-1,-1,-1,-1,-1,773820,386532,-1,-1,627115,-1,-1,-1,827989,-1,324571,-1,835732,-1,-1,-1,-1,350264,-1,-1,-1,781123,879371,-1,824339,-1,-1,807000,466138,-1,-1,-1,-1,-1,533273,-1,-1,228017,535522,948978,108124,277666,-1,491439,-1,757809,-1,-1,223486,640395,873070,230122,-1,387136,363937,958926,-1,415221,668428,840351,-1,457778,594278,657954,-1,-1,-1,-1,-1,916947,861206,-1,-1,-1,492263,-1,473449,528184,-1,-1,921232,531551,439773,-1,12442,160569,-1,793444,661734,924109,102264,-1,610450,-1,296595,304481,938347,-1,-1,-1,-1,371110,377386,-1,412448,-1,40944,-1,-1,-1,-1,65806,-1,-1,83229,738858,685578,684608,84594,756943,-1,876072,-1,-1,-1,-1,333414,434650,449301,-1,7203,-1,-1,61109,-1,60812,-1,-1,-1,-1,937301,-1,103016,851359,-1,-1,-1,-1,993148,-1,604859,246369,998294,802854,616192,-1,-1,-1,-1,224923,-1,-1,695260,-1,-1,61306,883167,-1,-1,585411,248896,490586,-1,425024,-1,365170,-1,85575,513626,135171,123559,426731,-1,166127,-1,-1,-1,-1,-1,-1,720230,632521,-1,-1,182206,-1,540742,-1,-1,-1,763132,991792,327966,-1,449044,951650,812401,-1,-1,104348,653100,345639,-1,146034,-1,-1,733911,984774,-1,245824,261226,-1,-1,-1,882558,101619,-1,561220,-1,-1,-1,-1,565147,-1,504216,201666,-1,397724,-1,-1,630888,172295,-1,352771,-1,428120,-1,-1,-1,-1,-1,143795,607552,-1,295834,-1,961040,614619,681916,731632,331741,-1,234755,-1,-1,398793,-1,-1,993881,-1,120214,-1,-1,-1,-1,-1,-1,-1,-1,57237,-1,-1,-1,-1,-1,-1,360197,607030,-1,-1,87800,168777,-1,-1,-1,313728,189424,876514,-1,-1,-1,-1,929736,-1,-1,362387,453364,-1,752157,574432,651345,421604,234539,931639,-1,-1,-1,805674,-1,196253,-1,-1,-1,-1,595303,-1,-1,861598,893032,-1,-1,-1,886449,-1,716492,-1,148938,-1,688379,-1,882743,-1,-1,-1,-1,-1,846600,-1,581968,-1,-1,483672,-1,-1,-1,-1,166407,801912,-1,973380,-1,460788,61552,-1,-1,802569,-1,-1,-1,799916,76399,-1,11282,-1,513655,65630,-1,-1,-1,-1,624326,-1,-1,-1,673661,863085,544859,55834,737118,-1,-1,357276,-1,495705,905832,-1,-1,-1,875925,330837,-1,14004,626398,689181,669726,269796,-1,-1,145966,828303,-1,966208,801362,-1,286056,-1,511336,-1,-1,822001,57554,-1,-1,849225,-1,722320,814525,-1,-1,4047,281345,949751,197115,-1,-1,-1,629122,-1,-1,-1,746916,-1,280590,520104,-1,628346,14785,408356,-1,621939,135476,969988,195112,-1,733207,684130,436942,-1,746488,481597,-1,-1,-1,192288,-1,-1,190333,-1,603136,948406,-1,-1,513136,164665,-1,244252,-1,909498,-1,-1,-1,-1,804550,-1,961724,-1,-1,-1,-1,-1,-1,218266,-1,-1,663902,-1,619297,942000,-1,679700,360804,785764,-1,-1,59492,-1,41096,140540,-1,937487,-1,194844,566473,574181,465900,898196,698289,-1,-1,-1,205934,412225,-1,758905,310494,574458,974680,248049,922861,205228,659982,744891,771189,-1,919038,-1,962113,26029,-1,-1,367071,-1,77359,-1,-1,-1,-1,-1,267025,936201,-1,-1,-1,-1,836139,-1,885255,21144,832605,-1,-1];